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 | 59.6 | ||
Character | \(\chi\) | \(=\) | 280.59 |
Dual form | 280.2.ba.b.19.6 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30291 | − | 0.549923i | −0.921299 | − | 0.388854i | ||||
\(3\) | 0.833565 | − | 1.44378i | 0.481259 | − | 0.833565i | −0.518510 | − | 0.855072i | \(-0.673513\pi\) |
0.999769 | + | 0.0215069i | \(0.00684639\pi\) | |||||||
\(4\) | 1.39517 | + | 1.43300i | 0.697585 | + | 0.716502i | ||||
\(5\) | −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 | ||||
\(10\) | 2.03538 | − | 2.42017i | 0.643644 | − | 0.765325i | ||||
\(11\) | −0.395322 | + | 0.684718i | −0.119194 | + | 0.206450i | −0.919449 | − | 0.393210i | \(-0.871364\pi\) |
0.800254 | + | 0.599661i | \(0.204698\pi\) | |||||||
\(12\) | 3.23190 | − | 0.819810i | 0.932970 | − | 0.236659i | ||||
\(13\) | 6.84388i | 1.89815i | 0.315049 | + | 0.949076i | \(0.397979\pi\) | ||||
−0.315049 | + | 0.949076i | \(0.602021\pi\) | |||||||
\(14\) | −2.99691 | − | 2.24021i | −0.800957 | − | 0.598722i | ||||
\(15\) | 2.53375 | + | 2.73436i | 0.654210 | + | 0.706009i | ||||
\(16\) | −0.107006 | + | 3.99857i | −0.0267516 | + | 0.999642i | ||||
\(17\) | 1.46309 | − | 2.53414i | 0.354851 | − | 0.614620i | −0.632242 | − | 0.774771i | \(-0.717865\pi\) |
0.987092 | + | 0.160152i | \(0.0511983\pi\) | |||||||
\(18\) | −0.0386651 | − | 0.309683i | −0.00911345 | − | 0.0729930i | ||||
\(19\) | 1.96683 | − | 1.13555i | 0.451222 | − | 0.260513i | −0.257124 | − | 0.966378i | \(-0.582775\pi\) |
0.708346 | + | 0.705865i | \(0.249442\pi\) | |||||||
\(20\) | −3.98283 | + | 2.03397i | −0.890589 | + | 0.454809i | ||||
\(21\) | 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 | \(-0.229909\pi\) |
−0.947677 | + | 0.319230i | \(0.896576\pi\) | |||||||
\(24\) | −4.66172 | − | 0.709156i | −0.951570 | − | 0.144756i | ||||
\(25\) | −4.12745 | − | 2.82208i | −0.825491 | − | 0.564416i | ||||
\(26\) | 3.76361 | − | 8.91699i | 0.738104 | − | 1.74877i | ||||
\(27\) | 5.36929 | 1.03332 | ||||||||
\(28\) | 2.67277 | + | 4.56687i | 0.505106 | + | 0.863057i | ||||
\(29\) | − | 2.46658i | − | 0.458033i | −0.973423 | − | 0.229017i | \(-0.926449\pi\) | ||
0.973423 | − | 0.229017i | \(-0.0735510\pi\) | |||||||
\(30\) | −1.79756 | − | 4.95600i | −0.328188 | − | 0.904838i | ||||
\(31\) | 2.87365 | − | 4.97731i | 0.516123 | − | 0.893951i | −0.483702 | − | 0.875233i | \(-0.660708\pi\) |
0.999825 | − | 0.0187183i | \(-0.00595857\pi\) | |||||||
\(32\) | 2.33833 | − | 5.15095i | 0.413361 | − | 0.910567i | ||||
\(33\) | 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 | \(-0.306719\pi\) |
−0.996507 | + | 0.0835133i | \(0.973386\pi\) | |||||||
\(38\) | −3.18708 | + | 0.397918i | −0.517012 | + | 0.0645509i | ||||
\(39\) | 9.88103 | + | 5.70482i | 1.58223 | + | 0.913502i | ||||
\(40\) | 6.30782 | − | 0.459835i | 0.997353 | − | 0.0727062i | ||||
\(41\) | − | 3.71071i | − | 0.579516i | −0.957100 | − | 0.289758i | \(-0.906425\pi\) | ||
0.957100 | − | 0.289758i | \(-0.0935748\pi\) | |||||||
\(42\) | −5.73248 | + | 2.45950i | −0.884541 | + | 0.379510i | ||||
\(43\) | 9.52516i | 1.45257i | 0.687392 | + | 0.726286i | \(0.258755\pi\) | ||||
−0.687392 | + | 0.726286i | \(0.741245\pi\) | |||||||
\(44\) | −1.53275 | + | 0.388799i | −0.231070 | + | 0.0586137i | ||||
\(45\) | −0.481155 | + | 0.109485i | −0.0717263 | + | 0.0163210i | ||||
\(46\) | 0.331703 | + | 2.65673i | 0.0489069 | + | 0.391713i | ||||
\(47\) | −0.185107 | + | 0.106871i | −0.0270006 | + | 0.0155888i | −0.513440 | − | 0.858126i | \(-0.671629\pi\) |
0.486439 | + | 0.873715i | \(0.338296\pi\) | |||||||
\(48\) | 5.68384 | + | 3.48756i | 0.820392 | + | 0.503386i | ||||
\(49\) | 6.19262 | + | 3.26366i | 0.884660 | + | 0.466237i | ||||
\(50\) | 3.82579 | + | 5.94671i | 0.541049 | + | 0.840991i | ||||
\(51\) | −2.43916 | − | 4.22474i | −0.341550 | − | 0.591582i | ||||
\(52\) | −9.80732 | + | 9.54837i | −1.36003 | + | 1.32412i | ||||
\(53\) | −3.21770 | + | 5.57322i | −0.441985 | + | 0.765540i | −0.997837 | − | 0.0657412i | \(-0.979059\pi\) |
0.555852 | + | 0.831281i | \(0.312392\pi\) | |||||||
\(54\) | −6.99572 | − | 2.95270i | −0.951997 | − | 0.401811i | ||||
\(55\) | −1.20164 | − | 1.29679i | −0.162029 | − | 0.174859i | ||||
\(56\) | −0.970960 | − | 7.42006i | −0.129750 | − | 0.991547i | ||||
\(57\) | − | 3.78622i | − | 0.501497i | ||||||
\(58\) | −1.35643 | + | 3.21375i | −0.178108 | + | 0.421985i | ||||
\(59\) | 0.430991 | + | 0.248833i | 0.0561102 | + | 0.0323953i | 0.527793 | − | 0.849373i | \(-0.323020\pi\) |
−0.471682 | + | 0.881768i | \(0.656353\pi\) | |||||||
\(60\) | −0.383353 | + | 7.44577i | −0.0494906 | + | 0.961244i | ||||
\(61\) | −5.87951 | − | 10.1836i | −0.752794 | − | 1.30388i | −0.946464 | − | 0.322810i | \(-0.895372\pi\) |
0.193670 | − | 0.981067i | \(-0.437961\pi\) | |||||||
\(62\) | −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 | ||||
\(66\) | −0.230945 | − | 1.84972i | −0.0284274 | − | 0.227685i | ||||
\(67\) | −2.83429 | − | 1.63638i | −0.346264 | − | 0.199916i | 0.316774 | − | 0.948501i | \(-0.397400\pi\) |
−0.663039 | + | 0.748585i | \(0.730734\pi\) | |||||||
\(68\) | 5.67269 | − | 1.43894i | 0.687915 | − | 0.174498i | ||||
\(69\) | −3.15617 | −0.379958 | ||||||||
\(70\) | 6.76522 | − | 4.92258i | 0.808599 | − | 0.588361i | ||||
\(71\) | 4.40847i | 0.523189i | 0.965178 | + | 0.261594i | \(0.0842483\pi\) | ||||
−0.965178 | + | 0.261594i | \(0.915752\pi\) | |||||||
\(72\) | 0.389833 | − | 0.487468i | 0.0459423 | − | 0.0574486i | ||||
\(73\) | 3.18360 | − | 5.51416i | 0.372612 | − | 0.645384i | −0.617354 | − | 0.786685i | \(-0.711795\pi\) |
0.989967 | + | 0.141302i | \(0.0451288\pi\) | |||||||
\(74\) | 0.907874 | + | 7.27150i | 0.105538 | + | 0.845294i | ||||
\(75\) | −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 | \(-0.777457\pi\) |
0.174641 | + | 0.984632i | \(0.444123\pi\) | |||||||
\(80\) | −8.47142 | − | 2.86969i | −0.947133 | − | 0.320841i | ||||
\(81\) | 4.14463 | − | 7.17871i | 0.460515 | − | 0.797635i | ||||
\(82\) | −2.04061 | + | 4.83474i | −0.225347 | + | 0.533908i | ||||
\(83\) | −13.5430 | −1.48654 | −0.743271 | − | 0.668990i | \(-0.766727\pi\) | ||||
−0.743271 | + | 0.668990i | \(0.766727\pi\) | |||||||
\(84\) | 8.82147 | − | 0.0520984i | 0.962501 | − | 0.00568440i | ||||
\(85\) | 4.44727 | + | 4.79940i | 0.482375 | + | 0.520568i | ||||
\(86\) | 5.23810 | − | 12.4105i | 0.564839 | − | 1.33825i | ||||
\(87\) | −3.56120 | − | 2.05606i | −0.381800 | − | 0.220432i | ||||
\(88\) | 2.21085 | + | 0.336321i | 0.235677 | + | 0.0358519i | ||||
\(89\) | −9.86730 | + | 5.69689i | −1.04593 | + | 0.603869i | −0.921508 | − | 0.388360i | \(-0.873042\pi\) |
−0.124424 | + | 0.992229i | \(0.539708\pi\) | |||||||
\(90\) | 0.687111 | + | 0.121949i | 0.0724279 | + | 0.0128545i | ||||
\(91\) | −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 | ||||
\(94\) | 0.299949 | − | 0.0374498i | 0.0309374 | − | 0.00386265i | ||||
\(95\) | 1.12675 | + | 4.95176i | 0.115602 | + | 0.508040i | ||||
\(96\) | −5.48767 | − | 7.66967i | −0.560083 | − | 0.782782i | ||||
\(97\) | 13.0656 | 1.32661 | 0.663303 | − | 0.748351i | \(-0.269154\pi\) | ||||
0.663303 | + | 0.748351i | \(0.269154\pi\) | |||||||
\(98\) | −6.27369 | − | 7.65773i | −0.633738 | − | 0.773548i | ||||
\(99\) | −0.174479 | −0.0175358 | ||||||||
\(100\) | −1.71444 | − | 9.85194i | −0.171444 | − | 0.985194i | ||||
\(101\) | −5.16640 | + | 8.94847i | −0.514076 | + | 0.890406i | 0.485790 | + | 0.874075i | \(0.338532\pi\) |
−0.999867 | + | 0.0163310i | \(0.994801\pi\) | |||||||
\(102\) | 0.854727 | + | 6.84582i | 0.0846306 | + | 0.677838i | ||||
\(103\) | 17.1988 | − | 9.92971i | 1.69464 | − | 0.978403i | 0.743969 | − | 0.668214i | \(-0.232941\pi\) |
0.950675 | − | 0.310189i | \(-0.100392\pi\) | |||||||
\(104\) | 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 | 0.361333 | − | 0.932437i | \(-0.382322\pi\) |
0.988180 | + | 0.153295i | \(0.0489885\pi\) | |||||||
\(108\) | 7.49107 | + | 7.69422i | 0.720828 | + | 0.740376i | ||||
\(109\) | −12.8463 | − | 7.41679i | −1.23045 | − | 0.710400i | −0.263326 | − | 0.964707i | \(-0.584819\pi\) |
−0.967124 | + | 0.254307i | \(0.918153\pi\) | |||||||
\(110\) | 0.852503 | + | 2.35041i | 0.0812830 | + | 0.224103i | ||||
\(111\) | −8.63847 | −0.819928 | ||||||||
\(112\) | −2.81538 | + | 10.2016i | −0.266029 | + | 0.963965i | ||||
\(113\) | 4.32459i | 0.406823i | 0.979093 | + | 0.203411i | \(0.0652029\pi\) | ||||
−0.979093 | + | 0.203411i | \(0.934797\pi\) | |||||||
\(114\) | −2.08213 | + | 4.93311i | −0.195009 | + | 0.462029i | ||||
\(115\) | 4.12776 | − | 0.939254i | 0.384915 | − | 0.0875859i | ||||
\(116\) | 3.53463 | − | 3.44130i | 0.328182 | − | 0.319517i | ||||
\(117\) | −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 | ||||
\(120\) | 4.59408 | − | 9.49038i | 0.419380 | − | 0.866349i | ||||
\(121\) | 5.18744 | + | 8.98491i | 0.471585 | + | 0.816810i | ||||
\(122\) | 2.06029 | + | 16.5016i | 0.186530 | + | 1.49399i | ||||
\(123\) | −5.35744 | − | 3.09312i | −0.483064 | − | 0.278897i | ||||
\(124\) | 11.1417 | − | 2.82623i | 1.00056 | − | 0.253803i | ||||
\(125\) | 8.75499 | − | 6.95342i | 0.783071 | − | 0.621933i | ||||
\(126\) | 0.0974576 | − | 0.819935i | 0.00868222 | − | 0.0730456i | ||||
\(127\) | −4.67057 | −0.414446 | −0.207223 | − | 0.978294i | \(-0.566443\pi\) | ||||
−0.207223 | + | 0.978294i | \(0.566443\pi\) | |||||||
\(128\) | 10.6437 | − | 3.83561i | 0.940778 | − | 0.339023i | ||||
\(129\) | 13.7522 | + | 7.93983i | 1.21081 | + | 0.699063i | ||||
\(130\) | 16.5634 | + | 13.9299i | 1.45270 | + | 1.22173i | ||||
\(131\) | 13.4161 | − | 7.74576i | 1.17217 | − | 0.676750i | 0.217977 | − | 0.975954i | \(-0.430054\pi\) |
0.954189 | + | 0.299204i | \(0.0967209\pi\) | |||||||
\(132\) | −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 | ||||
\(136\) | −8.18234 | − | 1.24472i | −0.701630 | − | 0.106734i | ||||
\(137\) | −12.5411 | − | 7.24059i | −1.07146 | − | 0.618606i | −0.142877 | − | 0.989740i | \(-0.545635\pi\) |
−0.928579 | + | 0.371135i | \(0.878969\pi\) | |||||||
\(138\) | 4.11222 | + | 1.73565i | 0.350055 | + | 0.147748i | ||||
\(139\) | − | 10.9687i | − | 0.930349i | −0.885219 | − | 0.465175i | \(-0.845992\pi\) | ||
0.885219 | − | 0.465175i | \(-0.154008\pi\) | |||||||
\(140\) | −11.5215 | + | 2.69334i | −0.973748 | + | 0.227629i | ||||
\(141\) | 0.356337i | 0.0300090i | ||||||||
\(142\) | 2.42432 | − | 5.74385i | 0.203444 | − | 0.482013i | ||||
\(143\) | −4.68613 | − | 2.70554i | −0.391874 | − | 0.226249i | ||||
\(144\) | −0.775989 | + | 0.420750i | −0.0646657 | + | 0.0350625i | ||||
\(145\) | 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 | \(-0.873268\pi\) |
−0.125130 | + | 0.992140i | \(0.539935\pi\) | |||||||
\(150\) | 11.7748 | − | 0.566622i | 0.961405 | − | 0.0462645i | ||||
\(151\) | −13.6780 | − | 7.89697i | −1.11310 | − | 0.642647i | −0.173467 | − | 0.984840i | \(-0.555497\pi\) |
−0.939630 | + | 0.342193i | \(0.888830\pi\) | |||||||
\(152\) | −5.01673 | − | 4.01193i | −0.406910 | − | 0.325411i | ||||
\(153\) | 0.645746 | 0.0522055 | ||||||||
\(154\) | 2.71866 | − | 1.16643i | 0.219076 | − | 0.0939938i | ||||
\(155\) | 8.73489 | + | 9.42651i | 0.701603 | + | 0.757155i | ||||
\(156\) | 5.61068 | + | 22.1188i | 0.449214 | + | 1.77092i | ||||
\(157\) | −8.15924 | − | 4.71074i | −0.651178 | − | 0.375958i | 0.137729 | − | 0.990470i | \(-0.456020\pi\) |
−0.788907 | + | 0.614512i | \(0.789353\pi\) | |||||||
\(158\) | 8.50836 | − | 1.06230i | 0.676889 | − | 0.0845122i | ||||
\(159\) | 5.36432 | + | 9.29127i | 0.425418 | + | 0.736846i | ||||
\(160\) | 9.45942 | + | 8.39759i | 0.747833 | + | 0.663887i | ||||
\(161\) | −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 | −0.655367 | − | 0.755311i | \(-0.727486\pi\) |
0.326435 | + | 0.945220i | \(0.394153\pi\) | |||||||
\(164\) | 5.31747 | − | 5.17707i | 0.415225 | − | 0.404261i | ||||
\(165\) | −2.87391 | + | 0.653947i | −0.223734 | + | 0.0509097i | ||||
\(166\) | 17.6454 | + | 7.44764i | 1.36955 | + | 0.578049i | ||||
\(167\) | − | 10.5301i | − | 0.814840i | −0.913241 | − | 0.407420i | \(-0.866428\pi\) | ||
0.913241 | − | 0.407420i | \(-0.133572\pi\) | |||||||
\(168\) | −11.5223 | − | 4.78325i | −0.888962 | − | 0.369036i | ||||
\(169\) | −33.8387 | −2.60298 | ||||||||
\(170\) | −3.15511 | − | 8.69887i | −0.241986 | − | 0.667173i | ||||
\(171\) | 0.434039 | + | 0.250592i | 0.0331918 | + | 0.0191633i | ||||
\(172\) | −13.6496 | + | 13.2892i | −1.04077 | + | 1.01329i | ||||
\(173\) | 10.0480 | − | 5.80119i | 0.763933 | − | 0.441057i | −0.0667734 | − | 0.997768i | \(-0.521270\pi\) |
0.830706 | + | 0.556712i | \(0.187937\pi\) | |||||||
\(174\) | 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 | ||||
\(178\) | 15.9891 | − | 1.99630i | 1.19843 | − | 0.149629i | ||||
\(179\) | 9.70530 | − | 16.8101i | 0.725408 | − | 1.25644i | −0.233398 | − | 0.972381i | \(-0.574984\pi\) |
0.958806 | − | 0.284062i | \(-0.0916822\pi\) | |||||||
\(180\) | −0.828184 | − | 0.536747i | −0.0617292 | − | 0.0400068i | ||||
\(181\) | 16.8009 | 1.24880 | 0.624401 | − | 0.781104i | \(-0.285343\pi\) | ||||
0.624401 | + | 0.781104i | \(0.285343\pi\) | |||||||
\(182\) | 15.3317 | − | 20.5105i | 1.13646 | − | 1.52034i | ||||
\(183\) | −19.6038 | −1.44915 | ||||||||
\(184\) | −3.34432 | + | 4.18192i | −0.246547 | + | 0.308295i | ||||
\(185\) | 11.2977 | − | 2.57075i | 0.830625 | − | 0.189005i | ||||
\(186\) | 1.67877 | + | 13.4459i | 0.123093 | + | 0.985900i | ||||
\(187\) | 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 | ||||
\(190\) | 1.25503 | − | 7.07134i | 0.0910491 | − | 0.513009i | ||||
\(191\) | 9.58750 | − | 5.53535i | 0.693727 | − | 0.400524i | −0.111280 | − | 0.993789i | \(-0.535495\pi\) |
0.805007 | + | 0.593266i | \(0.202162\pi\) | |||||||
\(192\) | 2.93223 | + | 13.0107i | 0.211616 | + | 0.938967i | ||||
\(193\) | −2.30035 | − | 1.32811i | −0.165583 | − | 0.0955994i | 0.414918 | − | 0.909859i | \(-0.363810\pi\) |
−0.580501 | + | 0.814259i | \(0.697143\pi\) | |||||||
\(194\) | −17.0233 | − | 7.18505i | −1.22220 | − | 0.515857i | ||||
\(195\) | −18.7137 | + | 17.3406i | −1.34011 | + | 1.24179i | ||||
\(196\) | 3.96291 | + | 13.4274i | 0.283065 | + | 0.959101i | ||||
\(197\) | 9.96943 | 0.710292 | 0.355146 | − | 0.934811i | \(-0.384431\pi\) | ||||
0.355146 | + | 0.934811i | \(0.384431\pi\) | |||||||
\(198\) | 0.227331 | + | 0.0959500i | 0.0161557 | + | 0.00681887i | ||||
\(199\) | −0.373969 | + | 0.647733i | −0.0265099 | + | 0.0459166i | −0.878976 | − | 0.476866i | \(-0.841773\pi\) |
0.852466 | + | 0.522783i | \(0.175106\pi\) | |||||||
\(200\) | −3.18403 | + | 13.7790i | −0.225145 | + | 0.974325i | ||||
\(201\) | −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 | ||||
\(206\) | −27.8691 | + | 3.47956i | −1.94173 | + | 0.242432i | ||||
\(207\) | 0.208892 | − | 0.361812i | 0.0145190 | − | 0.0251477i | ||||
\(208\) | −27.3657 | − | 0.732338i | −1.89747 | − | 0.0507785i | ||||
\(209\) | 1.79563i | 0.124207i | ||||||||
\(210\) | −1.46785 | − | 13.8708i | −0.101291 | − | 0.957173i | ||||
\(211\) | −13.0773 | −0.900281 | −0.450140 | − | 0.892958i | \(-0.648626\pi\) | ||||
−0.450140 | + | 0.892958i | \(0.648626\pi\) | |||||||
\(212\) | −12.4757 | + | 3.16460i | −0.856833 | + | 0.217346i | ||||
\(213\) | 6.36484 | + | 3.67474i | 0.436112 | + | 0.251789i | ||||
\(214\) | −22.6201 | + | 2.82420i | −1.54628 | + | 0.193059i | ||||
\(215\) | −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 | ||||
\(220\) | 0.181807 | − | 3.53119i | 0.0122574 | − | 0.238073i | ||||
\(221\) | 17.3434 | + | 10.0132i | 1.16664 | + | 0.673560i | ||||
\(222\) | 11.2552 | + | 4.75050i | 0.755399 | + | 0.318832i | ||||
\(223\) | − | 4.09586i | − | 0.274279i | −0.990552 | − | 0.137140i | \(-0.956209\pi\) | ||
0.990552 | − | 0.137140i | \(-0.0437909\pi\) | |||||||
\(224\) | 9.27832 | − | 11.7436i | 0.619934 | − | 0.784654i | ||||
\(225\) | 0.0839164 | − | 1.10020i | 0.00559443 | − | 0.0733467i | ||||
\(226\) | 2.37819 | − | 5.63456i | 0.158195 | − | 0.374806i | ||||
\(227\) | 4.93818 | − | 8.55319i | 0.327759 | − | 0.567695i | −0.654308 | − | 0.756228i | \(-0.727040\pi\) |
0.982067 | + | 0.188533i | \(0.0603733\pi\) | |||||||
\(228\) | 5.42567 | − | 5.28241i | 0.359324 | − | 0.349836i | ||||
\(229\) | 1.67919 | + | 2.90845i | 0.110964 | + | 0.192196i | 0.916159 | − | 0.400814i | \(-0.131273\pi\) |
−0.805195 | + | 0.593010i | \(0.797939\pi\) | |||||||
\(230\) | −5.89463 | − | 1.04618i | −0.388680 | − | 0.0689832i | ||||
\(231\) | 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 | −0.943290 | − | 0.331971i | \(-0.892286\pi\) |
−0.184150 | + | 0.982898i | \(0.558953\pi\) | |||||||
\(234\) | 2.11943 | − | 0.264619i | 0.138552 | − | 0.0172987i | ||||
\(235\) | −0.106043 | − | 0.466031i | −0.00691750 | − | 0.0304005i | ||||
\(236\) | 0.244727 | + | 0.964776i | 0.0159304 | + | 0.0628016i | ||||
\(237\) | 10.1079i | 0.656576i | ||||||||
\(238\) | −10.0618 | + | 4.31696i | −0.652206 | + | 0.279827i | ||||
\(239\) | − | 6.74480i | − | 0.436285i | −0.975917 | − | 0.218142i | \(-0.930000\pi\) | ||
0.975917 | − | 0.218142i | \(-0.0699997\pi\) | |||||||
\(240\) | −11.2047 | + | 9.83876i | −0.723258 | + | 0.635089i | ||||
\(241\) | −1.18354 | − | 0.683317i | −0.0762385 | − | 0.0440163i | 0.461396 | − | 0.887194i | \(-0.347349\pi\) |
−0.537635 | + | 0.843178i | \(0.680682\pi\) | |||||||
\(242\) | −1.81778 | − | 14.5593i | −0.116851 | − | 0.935905i | ||||
\(243\) | 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 | ||||
\(248\) | −16.0709 | − | 2.44476i | −1.02051 | − | 0.155243i | ||||
\(249\) | −11.2890 | + | 19.5531i | −0.715412 | + | 1.23913i | ||||
\(250\) | −15.2309 | + | 4.24513i | −0.963284 | + | 0.268486i | ||||
\(251\) | 15.4536i | 0.975423i | 0.873005 | + | 0.487712i | \(0.162168\pi\) | ||||
−0.873005 | + | 0.487712i | \(0.837832\pi\) | |||||||
\(252\) | −0.577880 | + | 1.01471i | −0.0364030 | + | 0.0639207i | ||||
\(253\) | 1.49683 | 0.0941049 | ||||||||
\(254\) | 6.08535 | + | 2.56845i | 0.381829 | + | 0.161159i | ||||
\(255\) | 10.6364 | − | 2.42026i | 0.666074 | − | 0.151562i | ||||
\(256\) | −15.9771 | − | 0.855744i | −0.998569 | − | 0.0534840i | ||||
\(257\) | 12.5171 | + | 21.6802i | 0.780792 | + | 1.35237i | 0.931481 | + | 0.363791i | \(0.118518\pi\) |
−0.150688 | + | 0.988581i | \(0.548149\pi\) | |||||||
\(258\) | −13.5516 | − | 17.9076i | −0.843688 | − | 1.11488i | ||||
\(259\) | −3.80292 | − | 13.1713i | −0.236302 | − | 0.818427i | ||||
\(260\) | −13.9202 | − | 27.2580i | −0.863297 | − | 1.69047i | ||||
\(261\) | 0.471398 | − | 0.272162i | 0.0291788 | − | 0.0168464i | ||||
\(262\) | −21.7395 | + | 2.71426i | −1.34307 | + | 0.167688i | ||||
\(263\) | −14.1558 | + | 24.5185i | −0.872883 | + | 1.51188i | −0.0138820 | + | 0.999904i | \(0.504419\pi\) |
−0.859001 | + | 0.511974i | \(0.828914\pi\) | |||||||
\(264\) | 2.32846 | − | 2.91162i | 0.143307 | − | 0.179198i | ||||
\(265\) | −9.78068 | − | 10.5551i | −0.600822 | − | 0.648394i | ||||
\(266\) | −8.43828 | − | 1.00298i | −0.517384 | − | 0.0614964i | ||||
\(267\) | 18.9949i | 1.16247i | ||||||||
\(268\) | −1.60938 | − | 6.34459i | −0.0983085 | − | 0.387557i | ||||
\(269\) | −1.84643 | + | 3.19810i | −0.112579 | + | 0.194992i | −0.916809 | − | 0.399325i | \(-0.869244\pi\) |
0.804231 | + | 0.594317i | \(0.202578\pi\) | |||||||
\(270\) | 10.9286 | − | 12.9946i | 0.665090 | − | 0.790826i | ||||
\(271\) | 0.382982 | + | 0.663345i | 0.0232645 | + | 0.0402953i | 0.877423 | − | 0.479717i | \(-0.159261\pi\) |
−0.854159 | + | 0.520012i | \(0.825927\pi\) | |||||||
\(272\) | 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 | ||||
\(276\) | −4.40339 | − | 4.52281i | −0.265053 | − | 0.272241i | ||||
\(277\) | 9.73148 | − | 16.8554i | 0.584708 | − | 1.01274i | −0.410204 | − | 0.911994i | \(-0.634542\pi\) |
0.994912 | − | 0.100750i | \(-0.0321243\pi\) | |||||||
\(278\) | −6.03192 | + | 14.2912i | −0.361770 | + | 0.857130i | ||||
\(279\) | 1.26831 | 0.0759318 | ||||||||
\(280\) | 16.4927 | + | 2.82677i | 0.985628 | + | 0.168932i | ||||
\(281\) | −7.20046 | −0.429544 | −0.214772 | − | 0.976664i | \(-0.568901\pi\) | ||||
−0.214772 | + | 0.976664i | \(0.568901\pi\) | |||||||
\(282\) | 0.195958 | − | 0.464276i | 0.0116691 | − | 0.0276472i | ||||
\(283\) | 5.91380 | − | 10.2430i | 0.351539 | − | 0.608883i | −0.634980 | − | 0.772528i | \(-0.718992\pi\) |
0.986519 | + | 0.163645i | \(0.0523252\pi\) | |||||||
\(284\) | −6.31735 | + | 6.15056i | −0.374866 | + | 0.364968i | ||||
\(285\) | 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 | ||||
\(290\) | −5.96955 | − | 5.02044i | −0.350544 | − | 0.294810i | ||||
\(291\) | 10.8910 | − | 18.8637i | 0.638441 | − | 1.10581i | ||||
\(292\) | 12.3435 | − | 3.13107i | 0.722348 | − | 0.183232i | ||||
\(293\) | 11.8864i | 0.694410i | 0.937789 | + | 0.347205i | \(0.112869\pi\) | ||||
−0.937789 | + | 0.347205i | \(0.887131\pi\) | |||||||
\(294\) | −16.2856 | + | 2.67459i | −0.949794 | + | 0.155985i | ||||
\(295\) | −0.816252 | + | 0.756364i | −0.0475240 | + | 0.0440372i | ||||
\(296\) | −9.15345 | + | 11.4460i | −0.532034 | + | 0.665283i | ||||
\(297\) | −2.12260 | + | 3.67645i | −0.123166 | + | 0.213329i | ||||
\(298\) | 20.7076 | − | 2.58542i | 1.19956 | − | 0.149769i | ||||
\(299\) | 11.2208 | − | 6.47834i | 0.648916 | − | 0.374652i | ||||
\(300\) | −15.6531 | − | 5.73695i | −0.903732 | − | 0.331223i | ||||
\(301\) | −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 | ||||
\(304\) | 4.33011 | + | 7.98601i | 0.248349 | + | 0.458029i | ||||
\(305\) | 25.6386 | − | 5.83395i | 1.46806 | − | 0.334051i | ||||
\(306\) | −0.841352 | − | 0.355111i | −0.0480969 | − | 0.0203003i | ||||
\(307\) | −18.3489 | −1.04723 | −0.523615 | − | 0.851955i | \(-0.675417\pi\) | ||||
−0.523615 | + | 0.851955i | \(0.675417\pi\) | |||||||
\(308\) | −4.18363 | + | 0.0247079i | −0.238384 | + | 0.00140786i | ||||
\(309\) | − | 33.1082i | − | 1.88346i | ||||||
\(310\) | −6.19696 | − | 17.0854i | −0.351964 | − | 0.970388i | ||||
\(311\) | 3.85642 | − | 6.67951i | 0.218677 | − | 0.378760i | −0.735726 | − | 0.677279i | \(-0.763159\pi\) |
0.954404 | + | 0.298518i | \(0.0964924\pi\) | |||||||
\(312\) | 4.85338 | − | 31.9043i | 0.274769 | − | 1.80622i | ||||
\(313\) | −8.58738 | − | 14.8738i | −0.485387 | − | 0.840716i | 0.514472 | − | 0.857507i | \(-0.327988\pi\) |
−0.999859 | + | 0.0167918i | \(0.994655\pi\) | |||||||
\(314\) | 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 | 0.998348 | + | 0.0574593i | \(0.0182999\pi\) |
−0.449413 | + | 0.893324i | \(0.648367\pi\) | |||||||
\(318\) | −1.87976 | − | 15.0557i | −0.105412 | − | 0.844281i | ||||
\(319\) | 1.68892 | + | 0.975096i | 0.0945611 | + | 0.0545949i | ||||
\(320\) | −7.70678 | − | 16.1433i | −0.430822 | − | 0.902437i | ||||
\(321\) | − | 26.8725i | − | 1.49988i | ||||||
\(322\) | −0.836075 | + | 7.03410i | −0.0465927 | + | 0.391995i | ||||
\(323\) | − | 6.64563i | − | 0.369773i | ||||||
\(324\) | 16.0696 | − | 4.07624i | 0.892755 | − | 0.226458i | ||||
\(325\) | 19.3140 | − | 28.2478i | 1.07135 | − | 1.56691i | ||||
\(326\) | 6.80496 | − | 0.849625i | 0.376892 | − | 0.0470564i | ||||
\(327\) | −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 | ||||
\(330\) | 4.10408 | + | 0.728395i | 0.225922 | + | 0.0400968i | ||||
\(331\) | −1.08473 | − | 1.87881i | −0.0596222 | − | 0.103269i | 0.834674 | − | 0.550745i | \(-0.185656\pi\) |
−0.894296 | + | 0.447476i | \(0.852323\pi\) | |||||||
\(332\) | −18.8948 | − | 19.4073i | −1.03699 | − | 1.06511i | ||||
\(333\) | 0.571741 | − | 0.990284i | 0.0313312 | − | 0.0542672i | ||||
\(334\) | −5.79072 | + | 13.7198i | −0.316854 | + | 0.750712i | ||||
\(335\) | 5.36786 | − | 4.97403i | 0.293278 | − | 0.271760i | ||||
\(336\) | 12.3821 | + | 12.5685i | 0.675499 | + | 0.685669i | ||||
\(337\) | − | 0.664494i | − | 0.0361973i | −0.999836 | − | 0.0180986i | \(-0.994239\pi\) | ||
0.999836 | − | 0.0180986i | \(-0.00576129\pi\) | |||||||
\(338\) | 44.0889 | + | 18.6087i | 2.39812 | + | 1.01218i | ||||
\(339\) | 6.24374 | + | 3.60482i | 0.339113 | + | 0.195787i | ||||
\(340\) | −0.672867 | + | 13.0689i | −0.0364913 | + | 0.708763i | ||||
\(341\) | 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 | ||||
\(346\) | −16.2818 | + | 2.03285i | −0.875317 | + | 0.109287i | ||||
\(347\) | −23.4079 | − | 13.5146i | −1.25660 | − | 0.725500i | −0.284190 | − | 0.958768i | \(-0.591725\pi\) |
−0.972412 | + | 0.233268i | \(0.925058\pi\) | |||||||
\(348\) | −2.02213 | − | 7.97176i | −0.108398 | − | 0.427331i | ||||
\(349\) | −22.2420 | −1.19059 | −0.595295 | − | 0.803508i | \(-0.702965\pi\) | ||||
−0.595295 | + | 0.803508i | \(0.702965\pi\) | |||||||
\(350\) | 6.04755 | + | 17.7039i | 0.323255 | + | 0.946312i | ||||
\(351\) | 36.7468i | 1.96140i | ||||||||
\(352\) | 2.60255 | + | 3.63738i | 0.138717 | + | 0.193873i | ||||
\(353\) | −6.08471 | + | 10.5390i | −0.323856 | + | 0.560936i | −0.981280 | − | 0.192585i | \(-0.938313\pi\) |
0.657424 | + | 0.753521i | \(0.271646\pi\) | |||||||
\(354\) | −1.16429 | + | 0.145367i | −0.0618816 | + | 0.00772615i | ||||
\(355\) | −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 | \(-0.333746\pi\) |
0.999999 | + | 0.00129574i | \(0.000412446\pi\) | |||||||
\(360\) | 0.783883 | + | 1.15477i | 0.0413143 | + | 0.0608619i | ||||
\(361\) | −6.92105 | + | 11.9876i | −0.364266 | + | 0.630927i | ||||
\(362\) | −21.8901 | − | 9.23920i | −1.15052 | − | 0.485602i | ||||
\(363\) | 17.2963 | 0.907819 | ||||||||
\(364\) | −31.2551 | + | 18.2921i | −1.63821 | + | 0.958767i | ||||
\(365\) | 9.67703 | + | 10.4432i | 0.506519 | + | 0.546625i | ||||
\(366\) | 25.5421 | + | 10.7806i | 1.33510 | + | 0.563510i | ||||
\(367\) | 0.00646496 | + | 0.00373255i | 0.000337468 | + | 0.000194837i | 0.500169 | − | 0.865928i | \(-0.333271\pi\) |
−0.499831 | + | 0.866123i | \(0.666605\pi\) | |||||||
\(368\) | 6.65710 | − | 3.60956i | 0.347025 | − | 0.188161i | ||||
\(369\) | 0.709169 | − | 0.409439i | 0.0369178 | − | 0.0213145i | ||||
\(370\) | −16.1337 | − | 2.86341i | −0.838750 | − | 0.148862i | ||||
\(371\) | −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 | −0.813516 | − | 0.581542i | \(-0.802449\pi\) |
−0.0968723 | − | 0.995297i | \(-0.530884\pi\) | |||||||
\(374\) | −0.405359 | − | 3.24667i | −0.0209606 | − | 0.167881i | ||||
\(375\) | −2.74133 | − | 18.4364i | −0.141562 | − | 0.952051i | ||||
\(376\) | 0.472145 | + | 0.377580i | 0.0243490 | + | 0.0194722i | ||||
\(377\) | 16.8810 | 0.869416 | ||||||||
\(378\) | −16.0913 | − | 12.0283i | −0.827645 | − | 0.618671i | ||||
\(379\) | 17.3297 | 0.890165 | 0.445082 | − | 0.895490i | \(-0.353174\pi\) | ||||
0.445082 | + | 0.895490i | \(0.353174\pi\) | |||||||
\(380\) | −5.52388 | + | 8.52318i | −0.283369 | + | 0.437230i | ||||
\(381\) | −3.89322 | + | 6.74326i | −0.199456 | + | 0.345468i | ||||
\(382\) | −15.5357 | + | 1.93969i | −0.794876 | + | 0.0992432i | ||||
\(383\) | −5.87162 | + | 3.38998i | −0.300026 | + | 0.173220i | −0.642455 | − | 0.766324i | \(-0.722084\pi\) |
0.342429 | + | 0.939544i | \(0.388751\pi\) | |||||||
\(384\) | 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 | ||||
\(388\) | 18.2287 | + | 18.7230i | 0.925420 | + | 0.950517i | ||||
\(389\) | 4.97969 | + | 2.87502i | 0.252480 | + | 0.145770i | 0.620899 | − | 0.783890i | \(-0.286768\pi\) |
−0.368419 | + | 0.929660i | \(0.620101\pi\) | |||||||
\(390\) | 33.9183 | − | 12.3023i | 1.71752 | − | 0.622951i | ||||
\(391\) | −5.53977 | −0.280158 | ||||||||
\(392\) | 2.22071 | − | 19.6741i | 0.112163 | − | 0.993690i | ||||
\(393\) | − | 25.8264i | − | 1.30277i | ||||||
\(394\) | −12.9893 | − | 5.48242i | −0.654392 | − | 0.276200i | ||||
\(395\) | −3.00803 | − | 13.2194i | −0.151350 | − | 0.665142i | ||||
\(396\) | −0.243428 | − | 0.250029i | −0.0122327 | − | 0.0125644i | ||||
\(397\) | −4.00016 | + | 2.30949i | −0.200762 | + | 0.115910i | −0.597011 | − | 0.802233i | \(-0.703645\pi\) |
0.396249 | + | 0.918143i | \(0.370312\pi\) | |||||||
\(398\) | 0.843452 | − | 0.638286i | 0.0422784 | − | 0.0319944i | ||||
\(399\) | 2.40564 | − | 9.72425i | 0.120432 | − | 0.486821i | ||||
\(400\) | 11.7259 | − | 16.2019i | 0.586297 | − | 0.810096i | ||||
\(401\) | 8.29423 | + | 14.3660i | 0.414194 | + | 0.717406i | 0.995344 | − | 0.0963914i | \(-0.0307301\pi\) |
−0.581149 | + | 0.813797i | \(0.697397\pi\) | |||||||
\(402\) | 7.65667 | − | 0.955964i | 0.381880 | − | 0.0476791i | ||||
\(403\) | 34.0641 | + | 19.6669i | 1.69685 | + | 0.979679i | ||||
\(404\) | −20.0312 | + | 5.08115i | −0.996590 | + | 0.252797i | ||||
\(405\) | 12.5982 | + | 13.5957i | 0.626011 | + | 0.675578i | ||||
\(406\) | −5.52567 | + | 7.39212i | −0.274234 | + | 0.366865i | ||||
\(407\) | 4.09684 | 0.203073 | ||||||||
\(408\) | −8.61761 | + | 10.7759i | −0.426635 | + | 0.533487i | ||||
\(409\) | 14.1437 | + | 8.16589i | 0.699363 | + | 0.403777i | 0.807110 | − | 0.590401i | \(-0.201030\pi\) |
−0.107747 | + | 0.994178i | \(0.534364\pi\) | |||||||
\(410\) | −8.98056 | − | 7.55272i | −0.443518 | − | 0.373002i | ||||
\(411\) | −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 | ||||
\(416\) | 35.2525 | + | 16.0032i | 1.72839 | + | 0.784622i | ||||
\(417\) | −15.8363 | − | 9.14308i | −0.775506 | − | 0.447739i | ||||
\(418\) | 0.987460 | − | 2.33955i | 0.0482982 | − | 0.114431i | ||||
\(419\) | 25.5119i | 1.24634i | 0.782087 | + | 0.623170i | \(0.214155\pi\) | ||||
−0.782087 | + | 0.623170i | \(0.785845\pi\) | |||||||
\(420\) | −5.71537 | + | 18.8796i | −0.278881 | + | 0.921230i | ||||
\(421\) | − | 5.65879i | − | 0.275793i | −0.990447 | − | 0.137896i | \(-0.955966\pi\) | ||
0.990447 | − | 0.137896i | \(-0.0440341\pi\) | |||||||
\(422\) | 17.0386 | + | 7.19153i | 0.829428 | + | 0.350078i | ||||
\(423\) | −0.0408492 | − | 0.0235843i | −0.00198616 | − | 0.00114671i | ||||
\(424\) | 17.9950 | + | 2.73746i | 0.873916 | + | 0.132943i | ||||
\(425\) | −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 | ||||
\(430\) | 23.0525 | + | 19.3873i | 1.11169 | + | 0.934940i | ||||
\(431\) | −8.15466 | − | 4.70809i | −0.392796 | − | 0.226781i | 0.290575 | − | 0.956852i | \(-0.406153\pi\) |
−0.683371 | + | 0.730071i | \(0.739487\pi\) | |||||||
\(432\) | −0.574547 | + | 21.4695i | −0.0276429 | + | 1.03295i | ||||
\(433\) | 2.39361 | 0.115030 | 0.0575148 | − | 0.998345i | \(-0.481682\pi\) | ||||
0.0575148 | + | 0.998345i | \(0.481682\pi\) | |||||||
\(434\) | −19.7623 | + | 8.47895i | −0.948620 | + | 0.407003i | ||||
\(435\) | 6.74453 | − | 6.24969i | 0.323376 | − | 0.299650i | ||||
\(436\) | −7.29441 | − | 28.7564i | −0.349339 | − | 1.37718i | ||||
\(437\) | −3.72356 | − | 2.14980i | −0.178122 | − | 0.102839i | ||||
\(438\) | 1.85984 | + | 14.8962i | 0.0888666 | + | 0.711766i | ||||
\(439\) | 17.7739 | + | 30.7852i | 0.848300 | + | 1.46930i | 0.882724 | + | 0.469891i | \(0.155707\pi\) |
−0.0344242 | + | 0.999407i | \(0.510960\pi\) | |||||||
\(440\) | −2.17876 | + | 4.50086i | −0.103868 | + | 0.214570i | ||||
\(441\) | 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 | −0.729140 | − | 0.684364i | \(-0.760080\pi\) |
0.228107 | + | 0.973636i | \(0.426746\pi\) | |||||||
\(444\) | −12.0521 | − | 12.3790i | −0.571969 | − | 0.587480i | ||||
\(445\) | −5.65275 | − | 24.8423i | −0.267966 | − | 1.17764i | ||||
\(446\) | −2.25241 | + | 5.33656i | −0.106655 | + | 0.252693i | ||||
\(447\) | 24.6004i | 1.16356i | ||||||||
\(448\) | −18.5469 | + | 10.1986i | −0.876261 | + | 0.481837i | ||||
\(449\) | 5.65182 | 0.266726 | 0.133363 | − | 0.991067i | \(-0.457422\pi\) | ||||
0.133363 | + | 0.991067i | \(0.457422\pi\) | |||||||
\(450\) | −0.714362 | + | 1.38732i | −0.0336753 | + | 0.0653988i | ||||
\(451\) | 2.54079 | + | 1.46693i | 0.119641 | + | 0.0690749i | ||||
\(452\) | −6.19715 | + | 6.03353i | −0.291490 | + | 0.283793i | ||||
\(453\) | −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 | −0.855059 | − | 0.518530i | \(-0.826479\pi\) |
0.0215305 | + | 0.999768i | \(0.493146\pi\) | |||||||
\(458\) | −0.588422 | − | 4.71289i | −0.0274952 | − | 0.220219i | ||||
\(459\) | 7.85574 | − | 13.6065i | 0.366675 | − | 0.635099i | ||||
\(460\) | 7.10488 | + | 4.60468i | 0.331267 | + | 0.214694i | ||||
\(461\) | 1.04586 | 0.0487106 | 0.0243553 | − | 0.999703i | \(-0.492247\pi\) | ||||
0.0243553 | + | 0.999703i | \(0.492247\pi\) | |||||||
\(462\) | 0.582110 | − | 4.89743i | 0.0270822 | − | 0.227849i | ||||
\(463\) | 15.3524 | 0.713488 | 0.356744 | − | 0.934202i | \(-0.383887\pi\) | ||||
0.356744 | + | 0.934202i | \(0.383887\pi\) | |||||||
\(464\) | 9.86280 | + | 0.263940i | 0.457869 | + | 0.0122531i | ||||
\(465\) | 20.8909 | − | 4.75363i | 0.968791 | − | 0.220444i | ||||
\(466\) | 27.8867 | − | 3.48176i | 1.29183 | − | 0.161289i | ||||
\(467\) | 8.02282 | + | 13.8959i | 0.371252 | + | 0.643027i | 0.989758 | − | 0.142753i | \(-0.0455954\pi\) |
−0.618507 | + | 0.785780i | \(0.712262\pi\) | |||||||
\(468\) | −2.90696 | − | 0.820750i | −0.134374 | − | 0.0379392i | ||||
\(469\) | −6.23970 | − | 6.00358i | −0.288122 | − | 0.277220i | ||||
\(470\) | −0.118116 | + | 0.665513i | −0.00544827 | + | 0.0306978i | ||||
\(471\) | −13.6025 | + | 7.85341i | −0.626770 | + | 0.361866i | ||||
\(472\) | 0.211695 | − | 1.39160i | 0.00974404 | − | 0.0640536i | ||||
\(473\) | −6.52205 | − | 3.76551i | −0.299884 | − | 0.173138i | ||||
\(474\) | 5.55855 | − | 13.1697i | 0.255313 | − | 0.604903i | ||||
\(475\) | −11.3226 | − | 0.863618i | −0.519517 | − | 0.0396255i | ||||
\(476\) | 15.4836 | − | 0.0914440i | 0.709689 | − | 0.00419133i | ||||
\(477\) | −1.42016 | −0.0650246 | ||||||||
\(478\) | −3.70912 | + | 8.78789i | −0.169651 | + | 0.401949i | ||||
\(479\) | −10.5683 | + | 18.3049i | −0.482879 | + | 0.836371i | −0.999807 | − | 0.0196582i | \(-0.993742\pi\) |
0.516928 | + | 0.856029i | \(0.327076\pi\) | |||||||
\(480\) | 20.0093 | − | 6.65735i | 0.913294 | − | 0.303865i | ||||
\(481\) | 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 | ||||
\(486\) | −0.400983 | − | 3.21162i | −0.0181890 | − | 0.145682i | ||||
\(487\) | 8.49641 | − | 14.7162i | 0.385009 | − | 0.666855i | −0.606761 | − | 0.794884i | \(-0.707532\pi\) |
0.991770 | + | 0.128029i | \(0.0408650\pi\) | |||||||
\(488\) | −20.7725 | + | 25.9750i | −0.940326 | + | 1.17583i | ||||
\(489\) | 8.08424i | 0.365582i | ||||||||
\(490\) | 20.5030 | − | 8.34440i | 0.926229 | − | 0.376961i | ||||
\(491\) | 13.6290 | 0.615070 | 0.307535 | − | 0.951537i | \(-0.400496\pi\) | ||||
0.307535 | + | 0.951537i | \(0.400496\pi\) | |||||||
\(492\) | −3.04208 | − | 11.9927i | −0.137148 | − | 0.540671i | ||||
\(493\) | −6.25067 | − | 3.60883i | −0.281516 | − | 0.162533i | ||||
\(494\) | −2.72331 | − | 21.8120i | −0.122527 | − | 0.981367i | ||||
\(495\) | 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 | 0.649033 | − | 0.760760i | \(-0.275174\pi\) |
−0.983354 | + | 0.181699i | \(0.941840\pi\) | |||||||
\(500\) | 22.1790 | + | 2.84475i | 0.991874 | + | 0.127221i | ||||
\(501\) | −15.2030 | − | 8.77748i | −0.679222 | − | 0.392149i | ||||
\(502\) | 8.49830 | − | 20.1347i | 0.379298 | − | 0.898657i | ||||
\(503\) | − | 24.2100i | − | 1.07947i | −0.841834 | − | 0.539736i | \(-0.818524\pi\) | ||
0.841834 | − | 0.539736i | \(-0.181476\pi\) | |||||||
\(504\) | 1.31094 | − | 1.00429i | 0.0583939 | − | 0.0447346i | ||||
\(505\) | −15.7041 | − | 16.9475i | −0.698821 | − | 0.754153i | ||||
\(506\) | −1.95024 | − | 0.823141i | −0.0866988 | − | 0.0365931i | ||||
\(507\) | −28.2068 | + | 48.8555i | −1.25271 | + | 2.16975i | ||||
\(508\) | −6.51624 | − | 6.69295i | −0.289111 | − | 0.296952i | ||||
\(509\) | 4.43051 | + | 7.67386i | 0.196379 | + | 0.340138i | 0.947352 | − | 0.320195i | \(-0.103748\pi\) |
−0.750973 | + | 0.660333i | \(0.770415\pi\) | |||||||
\(510\) | −15.1892 | − | 2.69579i | −0.672589 | − | 0.119372i | ||||
\(511\) | 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 | ||||
\(514\) | −4.38621 | − | 35.1308i | −0.193468 | − | 1.54955i | ||||
\(515\) | 9.85277 | + | 43.3002i | 0.434165 | + | 1.90803i | ||||
\(516\) | 7.80882 | + | 30.7844i | 0.343764 | + | 1.35521i | ||||
\(517\) | − | 0.168995i | − | 0.00743237i | ||||||
\(518\) | −2.28835 | + | 19.2524i | −0.100544 | + | 0.845903i | ||||
\(519\) | − | 19.3427i | − | 0.849050i | ||||||
\(520\) | 3.14705 | + | 43.1699i | 0.138007 | + | 1.89313i | ||||
\(521\) | −26.5478 | − | 15.3274i | −1.16308 | − | 0.671505i | −0.211041 | − | 0.977477i | \(-0.567685\pi\) |
−0.952041 | + | 0.305972i | \(0.901019\pi\) | |||||||
\(522\) | −0.763859 | + | 0.0953707i | −0.0334332 | + | 0.00417426i | ||||
\(523\) | 9.06880 | + | 15.7076i | 0.396551 | + | 0.686846i | 0.993298 | − | 0.115583i | \(-0.0368737\pi\) |
−0.596747 | + | 0.802430i | \(0.703540\pi\) | |||||||
\(524\) | 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 | ||||
\(528\) | −4.63495 | + | 2.51312i | −0.201710 | + | 0.109370i | ||||
\(529\) | 9.70794 | − | 16.8146i | 0.422084 | − | 0.731072i | ||||
\(530\) | 6.93889 | + | 19.1310i | 0.301406 | + | 0.830997i | ||||
\(531\) | 0.109824i | 0.00476598i | ||||||||
\(532\) | 10.4428 | + | 5.94720i | 0.452752 | + | 0.257844i | ||||
\(533\) | 25.3957 | 1.10001 | ||||||||
\(534\) | 10.4457 | − | 24.7487i | 0.452031 | − | 1.07098i | ||||
\(535\) | 7.99706 | + | 35.1448i | 0.345743 | + | 1.51944i | ||||
\(536\) | −1.39215 | + | 9.15148i | −0.0601319 | + | 0.395284i | ||||
\(537\) | −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 | ||||
\(540\) | −21.3850 | + | 10.9210i | −0.920263 | + | 0.469964i | ||||
\(541\) | 23.5104 | − | 13.5737i | 1.01079 | − | 0.583580i | 0.0993669 | − | 0.995051i | \(-0.468318\pi\) |
0.911423 | + | 0.411471i | \(0.134985\pi\) | |||||||
\(542\) | −0.134204 | − | 1.07489i | −0.00576457 | − | 0.0461706i | ||||
\(543\) | 14.0046 | − | 24.2567i | 0.600997 | − | 1.04096i | ||||
\(544\) | −9.63205 | − | 13.4619i | −0.412971 | − | 0.577176i | ||||
\(545\) | 24.3295 | − | 22.5445i | 1.04216 | − | 0.965699i | ||||
\(546\) | −16.8326 | − | 39.2324i | −0.720367 | − | 1.67899i | ||||
\(547\) | 23.0006i | 0.983436i | 0.870754 | + | 0.491718i | \(0.163631\pi\) | ||||
−0.870754 | + | 0.491718i | \(0.836369\pi\) | |||||||
\(548\) | −7.12112 | − | 28.0733i | −0.304199 | − | 1.19923i | ||||
\(549\) | 1.29749 | − | 2.24731i | 0.0553753 | − | 0.0959129i | ||||
\(550\) | −5.58424 | + | 0.268723i | −0.238113 | + | 0.0114584i | ||||
\(551\) | −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 | ||||
\(556\) | 15.7181 | − | 15.3031i | 0.666597 | − | 0.648997i | ||||
\(557\) | −5.52574 | + | 9.57086i | −0.234133 | + | 0.405530i | −0.959020 | − | 0.283337i | \(-0.908558\pi\) |
0.724887 | + | 0.688867i | \(0.241892\pi\) | |||||||
\(558\) | −1.65250 | − | 0.697473i | −0.0699559 | − | 0.0295264i | ||||
\(559\) | −65.1890 | −2.75720 | ||||||||
\(560\) | −19.9341 | − | 12.7528i | −0.842368 | − | 0.538902i | ||||
\(561\) | 3.85701 | 0.162843 | ||||||||
\(562\) | 9.38158 | + | 3.95970i | 0.395738 | + | 0.167030i | ||||
\(563\) | 19.8308 | − | 34.3480i | 0.835770 | − | 1.44760i | −0.0576315 | − | 0.998338i | \(-0.518355\pi\) |
0.893402 | − | 0.449259i | \(-0.148312\pi\) | |||||||
\(564\) | −0.510632 | + | 0.497150i | −0.0215015 | + | 0.0209338i | ||||
\(565\) | −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 | 0.994459 | + | 0.105127i | \(0.0335248\pi\) |
−0.406187 | + | 0.913790i | \(0.633142\pi\) | |||||||
\(570\) | −9.16329 | − | 7.70640i | −0.383808 | − | 0.322785i | ||||
\(571\) | 1.96859 | − | 3.40970i | 0.0823829 | − | 0.142691i | −0.821890 | − | 0.569646i | \(-0.807080\pi\) |
0.904273 | + | 0.426955i | \(0.140414\pi\) | |||||||
\(572\) | −2.66089 | − | 10.4899i | −0.111258 | − | 0.438606i | ||||
\(573\) | − | 18.4563i | − | 0.771022i | ||||||
\(574\) | −8.31278 | + | 11.1207i | −0.346969 | + | 0.464168i | ||||
\(575\) | −0.719907 | + | 9.43847i | −0.0300222 | + | 0.393611i | ||||
\(576\) | −1.68557 | − | 0.524978i | −0.0702322 | − | 0.0218741i | ||||
\(577\) | −20.6956 | + | 35.8459i | −0.861571 | + | 1.49228i | 0.00884126 | + | 0.999961i | \(0.497186\pi\) |
−0.870412 | + | 0.492324i | \(0.836148\pi\) | |||||||
\(578\) | −1.47833 | − | 11.8405i | −0.0614904 | − | 0.492500i | ||||
\(579\) | −3.83499 | + | 2.21413i | −0.159377 | + | 0.0920161i | ||||
\(580\) | 5.01696 | + | 9.82399i | 0.208318 | + | 0.407919i | ||||
\(581\) | −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 | ||||
\(584\) | −17.8043 | − | 2.70845i | −0.736749 | − | 0.112077i | ||||
\(585\) | −0.749300 | − | 3.29297i | −0.0309798 | − | 0.136147i | ||||
\(586\) | 6.53660 | − | 15.4869i | 0.270024 | − | 0.639760i | ||||
\(587\) | 15.3447 | 0.633342 | 0.316671 | − | 0.948535i | \(-0.397435\pi\) | ||||
0.316671 | + | 0.948535i | \(0.397435\pi\) | |||||||
\(588\) | 22.6895 | + | 5.47106i | 0.935700 | + | 0.225623i | ||||
\(589\) | − | 13.0527i | − | 0.537827i | ||||||
\(590\) | 1.47945 | − | 0.536602i | 0.0609079 | − | 0.0220915i | ||||
\(591\) | 8.31016 | − | 14.3936i | 0.341834 | − | 0.592075i | ||||
\(592\) | 18.2206 | − | 9.87940i | 0.748860 | − | 0.406041i | ||||
\(593\) | −20.8596 | − | 36.1298i | −0.856600 | − | 1.48367i | −0.875153 | − | 0.483847i | \(-0.839239\pi\) |
0.0185530 | − | 0.999828i | \(-0.494094\pi\) | |||||||
\(594\) | 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 | ||||
\(598\) | −18.1823 | + | 2.27013i | −0.743531 | + | 0.0928326i | ||||
\(599\) | 19.4999 | + | 11.2583i | 0.796746 | + | 0.460001i | 0.842332 | − | 0.538959i | \(-0.181182\pi\) |
−0.0455861 | + | 0.998960i | \(0.514516\pi\) | |||||||
\(600\) | 17.2398 | + | 16.0828i | 0.703810 | + | 0.656576i | ||||
\(601\) | 8.10668i | 0.330679i | 0.986237 | + | 0.165339i | \(0.0528719\pi\) | ||||
−0.986237 | + | 0.165339i | \(0.947128\pi\) | |||||||
\(602\) | 21.3384 | − | 28.5460i | 0.869687 | − | 1.16345i | ||||
\(603\) | − | 0.722231i | − | 0.0294115i | ||||||
\(604\) | −7.76667 | − | 30.6182i | −0.316021 | − | 1.24584i | ||||
\(605\) | −22.6207 | + | 5.14725i | −0.919663 | + | 0.209265i | ||||
\(606\) | −3.01818 | − | 24.1737i | −0.122605 | − | 0.981991i | ||||
\(607\) | 10.6003 | − | 6.12010i | 0.430254 | − | 0.248407i | −0.269201 | − | 0.963084i | \(-0.586760\pi\) |
0.699455 | + | 0.714677i | \(0.253426\pi\) | |||||||
\(608\) | −1.25007 | − | 12.7863i | −0.0506969 | − | 0.518554i | ||||
\(609\) | −7.83997 | − | 7.54329i | −0.317692 | − | 0.305670i | ||||
\(610\) | −36.6131 | − | 6.49811i | −1.48242 | − | 0.263101i | ||||
\(611\) | −0.731415 | − | 1.26685i | −0.0295899 | − | 0.0512512i | ||||
\(612\) | 0.900925 | + | 0.925357i | 0.0364177 | + | 0.0374054i | ||||
\(613\) | −6.93580 | + | 12.0132i | −0.280134 | + | 0.485207i | −0.971418 | − | 0.237377i | \(-0.923712\pi\) |
0.691283 | + | 0.722584i | \(0.257046\pi\) | |||||||
\(614\) | 23.9071 | + | 10.0905i | 0.964812 | + | 0.407220i | ||||
\(615\) | 10.1464 | − | 9.40200i | 0.409144 | − | 0.379125i | ||||
\(616\) | 5.46449 | + | 2.26848i | 0.220171 | + | 0.0913997i | ||||
\(617\) | 1.91696i | 0.0771739i | 0.999255 | + | 0.0385870i | \(0.0122857\pi\) | ||||
−0.999255 | + | 0.0385870i | \(0.987714\pi\) | |||||||
\(618\) | −18.2070 | + | 43.1372i | −0.732392 | + | 1.73523i | ||||
\(619\) | −19.2245 | − | 11.0993i | −0.772699 | − | 0.446118i | 0.0611375 | − | 0.998129i | \(-0.480527\pi\) |
−0.833837 | + | 0.552011i | \(0.813861\pi\) | |||||||
\(620\) | −1.32158 | + | 25.6687i | −0.0530759 | + | 1.03088i | ||||
\(621\) | −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 | ||||
\(626\) | 3.00918 | + | 24.1016i | 0.120271 | + | 0.963296i | ||||
\(627\) | 2.59249 | + | 1.49678i | 0.103534 | + | 0.0597755i | ||||
\(628\) | −4.63301 | − | 18.2645i | −0.184877 | − | 0.728833i | ||||
\(629\) | −15.1624 | −0.604565 | ||||||||
\(630\) | 1.68724 | + | 0.749772i | 0.0672214 | + | 0.0298716i | ||||
\(631\) | 4.47405i | 0.178109i | 0.996027 | + | 0.0890545i | \(0.0283845\pi\) | ||||
−0.996027 | + | 0.0890545i | \(0.971615\pi\) | |||||||
\(632\) | 13.3929 | + | 10.7104i | 0.532741 | + | 0.426038i | ||||
\(633\) | −10.9008 | + | 18.8807i | −0.433268 | + | 0.750442i | ||||
\(634\) | −3.42483 | − | 27.4307i | −0.136017 | − | 1.08941i | ||||
\(635\) | 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 | ||||
\(640\) | 1.16370 | + | 25.2714i | 0.0459995 | + | 0.998941i | ||||
\(641\) | −16.7611 | + | 29.0311i | −0.662025 | + | 1.14666i | 0.318058 | + | 0.948071i | \(0.396969\pi\) |
−0.980083 | + | 0.198590i | \(0.936364\pi\) | |||||||
\(642\) | −14.7778 | + | 35.0125i | −0.583233 | + | 1.38183i | ||||
\(643\) | −1.67625 | −0.0661048 | −0.0330524 | − | 0.999454i | \(-0.510523\pi\) | ||||
−0.0330524 | + | 0.999454i | \(0.510523\pi\) | |||||||
\(644\) | 4.95755 | − | 8.70505i | 0.195355 | − | 0.343027i | ||||
\(645\) | −26.0452 | + | 24.1343i | −1.02553 | + | 0.950288i | ||||
\(646\) | −3.65459 | + | 8.65869i | −0.143788 | + | 0.340672i | ||||
\(647\) | 18.8153 | + | 10.8630i | 0.739707 | + | 0.427070i | 0.821963 | − | 0.569541i | \(-0.192879\pi\) |
−0.0822561 | + | 0.996611i | \(0.526213\pi\) | |||||||
\(648\) | −23.1789 | − | 3.52605i | −0.910554 | − | 0.138516i | ||||
\(649\) | −0.340761 | + | 0.196738i | −0.0133760 | + | 0.00772265i | ||||
\(650\) | −40.6986 | + | 26.1833i | −1.59633 | + | 1.02699i | ||||
\(651\) | −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 | \(-0.222458\pi\) |
−0.939946 | + | 0.341324i | \(0.889125\pi\) | |||||||
\(654\) | 34.7034 | − | 4.33285i | 1.35701 | − | 0.169428i | ||||
\(655\) | 7.68575 | + | 33.7767i | 0.300307 | + | 1.31977i | ||||
\(656\) | 14.8375 | + | 0.397069i | 0.579309 | + | 0.0155030i | ||||
\(657\) | 1.40511 | 0.0548186 | ||||||||
\(658\) | 0.794162 | + | 0.0943943i | 0.0309596 | + | 0.00367987i | ||||
\(659\) | 11.6434 | 0.453562 | 0.226781 | − | 0.973946i | \(-0.427180\pi\) | ||||
0.226781 | + | 0.973946i | \(0.427180\pi\) | |||||||
\(660\) | −4.94671 | − | 3.20597i | −0.192550 | − | 0.124792i | ||||
\(661\) | 3.07763 | − | 5.33061i | 0.119706 | − | 0.207337i | −0.799945 | − | 0.600073i | \(-0.795138\pi\) |
0.919651 | + | 0.392736i | \(0.128472\pi\) | |||||||
\(662\) | 0.380110 | + | 3.04444i | 0.0147734 | + | 0.118326i | ||||
\(663\) | 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 | ||||
\(668\) | 15.0896 | − | 14.6912i | 0.583835 | − | 0.568420i | ||||
\(669\) | −5.91351 | − | 3.41417i | −0.228630 | − | 0.131999i | ||||
\(670\) | −9.72919 | + | 3.52882i | −0.375871 | + | 0.136330i | ||||
\(671\) | 9.29720 | 0.358914 | ||||||||
\(672\) | −9.22108 | − | 23.1849i | −0.355711 | − | 0.894377i | ||||
\(673\) | 29.9527i | 1.15459i | 0.816535 | + | 0.577296i | \(0.195892\pi\) | ||||
−0.816535 | + | 0.577296i | \(0.804108\pi\) | |||||||
\(674\) | −0.365420 | + | 0.865778i | −0.0140755 | + | 0.0333485i | ||||
\(675\) | −22.1615 | − | 15.1526i | −0.852996 | − | 0.583222i | ||||
\(676\) | −47.2107 | − | 48.4910i | −1.81580 | − | 1.86504i | ||||
\(677\) | 19.0794 | − | 11.0155i | 0.733281 | − | 0.423360i | −0.0863404 | − | 0.996266i | \(-0.527517\pi\) |
0.819621 | + | 0.572906i | \(0.194184\pi\) | |||||||
\(678\) | −6.15268 | − | 8.13035i | −0.236292 | − | 0.312244i | ||||
\(679\) | 33.5566 | + | 8.30142i | 1.28779 | + | 0.318579i | ||||
\(680\) | 8.06360 | − | 16.6577i | 0.309225 | − | 0.638793i | ||||
\(681\) | −8.23259 | − | 14.2593i | −0.315474 | − | 0.546416i | ||||
\(682\) | −0.796165 | − | 6.37678i | −0.0304867 | − | 0.244180i | ||||
\(683\) | −1.35827 | − | 0.784199i | −0.0519728 | − | 0.0300065i | 0.473788 | − | 0.880639i | \(-0.342886\pi\) |
−0.525761 | + | 0.850632i | \(0.676219\pi\) | |||||||
\(684\) | 0.246457 | + | 0.971598i | 0.00942353 | + | 0.0371500i | ||||
\(685\) | 23.7515 | − | 22.0089i | 0.907498 | − | 0.840916i | ||||
\(686\) | −11.2474 | − | 23.6537i | −0.429429 | − | 0.903101i | ||||
\(687\) | 5.59887 | 0.213610 | ||||||||
\(688\) | −38.0870 | − | 1.01925i | −1.45205 | − | 0.0388586i | ||||
\(689\) | −38.1424 | − | 22.0215i | −1.45311 | − | 0.838954i | ||||
\(690\) | −6.42401 | + | 7.63847i | −0.244558 | + | 0.290792i | ||||
\(691\) | −36.1431 | + | 20.8673i | −1.37495 | + | 0.793828i | −0.991546 | − | 0.129753i | \(-0.958581\pi\) |
−0.383404 | + | 0.923581i | \(0.625248\pi\) | |||||||
\(692\) | 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 | ||||
\(696\) | −1.74919 | + | 11.4985i | −0.0663030 | + | 0.435851i | ||||
\(697\) | −9.40347 | − | 5.42910i | −0.356182 | − | 0.205642i | ||||
\(698\) | 28.9795 | + | 12.2314i | 1.09689 | + | 0.462966i | ||||
\(699\) | 33.1291i | 1.25306i | ||||||||
\(700\) | 1.85633 | − | 26.3923i | 0.0701629 | − | 0.997536i | ||||
\(701\) | − | 39.2592i | − | 1.48280i | −0.671065 | − | 0.741399i | \(-0.734163\pi\) | ||
0.671065 | − | 0.741399i | \(-0.265837\pi\) | |||||||
\(702\) | 20.2079 | − | 47.8779i | 0.762698 | − | 1.80703i | ||||
\(703\) | −10.1914 | − | 5.88402i | −0.384377 | − | 0.221920i | ||||
\(704\) | −1.39063 | − | 6.17040i | −0.0524112 | − | 0.232556i | ||||
\(705\) | −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 | \(-0.719190\pi\) |
0.350956 | + | 0.936392i | \(0.385857\pi\) | |||||||
\(710\) | 10.6692 | + | 8.97291i | 0.400409 | + | 0.336747i | ||||
\(711\) | −1.15873 | − | 0.668993i | −0.0434558 | − | 0.0250892i | ||||
\(712\) | 25.1682 | + | 20.1273i | 0.943218 | + | 0.754302i | ||||
\(713\) | −10.8807 | −0.407484 | ||||||||
\(714\) | −2.15439 | + | 18.1254i | −0.0806260 | + | 0.678326i | ||||
\(715\) | 8.87505 | − | 8.22389i | 0.331908 | − | 0.307556i | ||||
\(716\) | 37.6294 | − | 9.54515i | 1.40628 | − | 0.356719i | ||||
\(717\) | −9.73798 | − | 5.62223i | −0.363672 | − | 0.209966i | ||||
\(718\) | −46.0191 | + | 5.74566i | −1.71742 | + | 0.214426i | ||||
\(719\) | −1.13078 | − | 1.95857i | −0.0421709 | − | 0.0730422i | 0.844170 | − | 0.536076i | \(-0.180094\pi\) |
−0.886340 | + | 0.463034i | \(0.846761\pi\) | |||||||
\(720\) | −0.386296 | − | 1.93565i | −0.0143964 | − | 0.0721372i | ||||
\(721\) | 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 | ||||
\(724\) | 23.4401 | + | 24.0758i | 0.871144 | + | 0.894769i | ||||
\(725\) | −6.96089 | + | 10.1807i | −0.258521 | + | 0.378102i | ||||
\(726\) | −22.5356 | − | 9.51162i | −0.836373 | − | 0.353009i | ||||
\(727\) | − | 14.0073i | − | 0.519502i | −0.965676 | − | 0.259751i | \(-0.916359\pi\) | ||
0.965676 | − | 0.259751i | \(-0.0836406\pi\) | |||||||
\(728\) | 50.7820 | − | 6.64513i | 1.88211 | − | 0.246285i | ||||
\(729\) | 28.6832 | 1.06234 | ||||||||
\(730\) | −6.86536 | − | 18.9283i | −0.254098 | − | 0.700567i | ||||
\(731\) | 24.1381 | + | 13.9361i | 0.892780 | + | 0.515447i | ||||
\(732\) | −27.3506 | − | 28.0923i | −1.01091 | − | 1.03832i | ||||
\(733\) | 0.730569 | − | 0.421794i | 0.0269842 | − | 0.0155793i | −0.486447 | − | 0.873710i | \(-0.661707\pi\) |
0.513431 | + | 0.858131i | \(0.328374\pi\) | |||||||
\(734\) | −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 | ||||
\(738\) | −1.14915 | + | 0.143475i | −0.0423006 | + | 0.00528139i | ||||
\(739\) | −24.2171 | + | 41.9452i | −0.890840 | + | 1.54298i | −0.0519693 | + | 0.998649i | \(0.516550\pi\) |
−0.838870 | + | 0.544331i | \(0.816784\pi\) | |||||||
\(740\) | 19.4461 | + | 12.6031i | 0.714854 | + | 0.463298i | ||||
\(741\) | 25.9124 | 0.951916 | ||||||||
\(742\) | 22.1283 | − | 9.49409i | 0.812356 | − | 0.348539i | ||||
\(743\) | −23.9932 | −0.880226 | −0.440113 | − | 0.897942i | \(-0.645062\pi\) | ||||
−0.440113 | + | 0.897942i | \(0.645062\pi\) | |||||||
\(744\) | −16.9259 | + | 21.1650i | −0.620532 | + | 0.775945i | ||||
\(745\) | −7.32092 | − | 32.1734i | −0.268218 | − | 1.17874i | ||||
\(746\) | 6.16125 | + | 49.3477i | 0.225579 | + | 1.80675i | ||||
\(747\) | −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 | ||||
\(750\) | −6.56687 | + | 25.5285i | −0.239788 | + | 0.932170i | ||||
\(751\) | 15.5172 | − | 8.95889i | 0.566232 | − | 0.326914i | −0.189411 | − | 0.981898i | \(-0.560658\pi\) |
0.755643 | + | 0.654983i | \(0.227324\pi\) | |||||||
\(752\) | −0.407525 | − | 0.751597i | −0.0148609 | − | 0.0274079i | ||||
\(753\) | 22.3116 | + | 12.8816i | 0.813078 | + | 0.469431i | ||||
\(754\) | −21.9945 | − | 9.28325i | −0.800992 | − | 0.338076i | ||||
\(755\) | 25.9046 | − | 24.0040i | 0.942766 | − | 0.873596i | ||||
\(756\) | 14.3509 | + | 24.5208i | 0.521936 | + | 0.891815i | ||||
\(757\) | −9.11215 | −0.331187 | −0.165593 | − | 0.986194i | \(-0.552954\pi\) | ||||
−0.165593 | + | 0.986194i | \(0.552954\pi\) | |||||||
\(758\) | −22.5791 | − | 9.52998i | −0.820108 | − | 0.346145i | ||||
\(759\) | 1.24770 | − | 2.16109i | 0.0452888 | − | 0.0784425i | ||||
\(760\) | 11.8842 | − | 8.06726i | 0.431087 | − | 0.292630i | ||||
\(761\) | −0.873293 | + | 0.504196i | −0.0316568 | + | 0.0182771i | −0.515745 | − | 0.856742i | \(-0.672485\pi\) |
0.484088 | + | 0.875019i | \(0.339151\pi\) | |||||||
\(762\) | 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 | ||||
\(766\) | 9.51445 | − | 1.18791i | 0.343771 | − | 0.0429211i | ||||
\(767\) | −1.70298 | + | 2.94965i | −0.0614911 | + | 0.106506i | ||||
\(768\) | −14.5534 | + | 22.3540i | −0.525152 | + | 0.806632i | ||||
\(769\) | − | 11.3063i | − | 0.407716i | −0.979000 | − | 0.203858i | \(-0.934652\pi\) | ||
0.979000 | − | 0.203858i | \(-0.0653481\pi\) | |||||||
\(770\) | 0.696136 | + | 6.57828i | 0.0250870 | + | 0.237065i | ||||
\(771\) | 41.7351 | 1.50305 | ||||||||
\(772\) | −1.30619 | − | 5.14936i | −0.0470110 | − | 0.185329i | ||||
\(773\) | 17.9809 | + | 10.3813i | 0.646729 | + | 0.373389i | 0.787202 | − | 0.616695i | \(-0.211529\pi\) |
−0.140473 | + | 0.990085i | \(0.544862\pi\) | |||||||
\(774\) | 2.94978 | − | 0.368291i | 0.106028 | − | 0.0132380i | ||||
\(775\) | −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 | ||||
\(780\) | −50.9579 | − | 2.62362i | −1.82459 | − | 0.0939406i | ||||
\(781\) | −3.01856 | − | 1.74277i | −0.108013 | − | 0.0623611i | ||||
\(782\) | 7.21784 | + | 3.04645i | 0.258109 | + | 0.108941i | ||||
\(783\) | − | 13.2438i | − | 0.473295i | ||||||
\(784\) | −13.7126 | + | 24.4124i | −0.489736 | + | 0.871871i | ||||
\(785\) | 15.4527 | − | 14.3190i | 0.551532 | − | 0.511067i | ||||
\(786\) | −14.2025 | + | 33.6495i | −0.506587 | + | 1.20024i | ||||
\(787\) | −1.98158 | + | 3.43220i | −0.0706357 | + | 0.122345i | −0.899180 | − | 0.437579i | \(-0.855836\pi\) |
0.828544 | + | 0.559923i | \(0.189169\pi\) | |||||||
\(788\) | 13.9090 | + | 14.2862i | 0.495489 | + | 0.508926i | ||||
\(789\) | 23.5995 | + | 40.8756i | 0.840165 | + | 1.45521i | ||||
\(790\) | −3.35048 | + | 18.8780i | −0.119205 | + | 0.671648i | ||||
\(791\) | −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 | ||||
\(794\) | 6.48190 | − | 0.809290i | 0.230034 | − | 0.0287206i | ||||
\(795\) | −23.3920 | + | 5.32276i | −0.829630 | + | 0.188779i | ||||
\(796\) | −1.44995 | + | 0.367798i | −0.0513922 | + | 0.0130362i | ||||
\(797\) | 21.7688i | 0.771090i | 0.922689 | + | 0.385545i | \(0.125987\pi\) | ||||
−0.922689 | + | 0.385545i | \(0.874013\pi\) | |||||||
\(798\) | −8.48192 | + | 11.3469i | −0.300257 | + | 0.401677i | ||||
\(799\) | 0.625448i | 0.0221268i | ||||||||
\(800\) | −24.1877 | + | 14.6614i | −0.855164 | + | 0.518357i | ||||
\(801\) | −2.17751 | − | 1.25719i | −0.0769385 | − | 0.0444205i | ||||
\(802\) | −2.90646 | − | 23.2789i | −0.102631 | − | 0.822006i | ||||
\(803\) | 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 | ||||
\(808\) | 28.8932 | + | 4.39532i | 1.01646 | + | 0.154627i | ||||
\(809\) | 13.0987 | − | 22.6876i | 0.460525 | − | 0.797652i | −0.538462 | − | 0.842649i | \(-0.680995\pi\) |
0.998987 | + | 0.0449975i | \(0.0143280\pi\) | |||||||
\(810\) | −8.93780 | − | 24.6421i | −0.314042 | − | 0.865836i | ||||
\(811\) | − | 35.2550i | − | 1.23797i | −0.785403 | − | 0.618985i | \(-0.787544\pi\) | ||
0.785403 | − | 0.618985i | \(-0.212456\pi\) | |||||||
\(812\) | 11.2646 | − | 6.59261i | 0.395309 | − | 0.231355i | ||||
\(813\) | 1.27696 | 0.0447850 | ||||||||
\(814\) | −5.33783 | − | 2.25295i | −0.187091 | − | 0.0789658i | ||||
\(815\) | −2.40581 | − | 10.5729i | −0.0842719 | − | 0.370351i | ||||
\(816\) | 17.1539 | − | 9.30106i | 0.600508 | − | 0.325602i | ||||
\(817\) | 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 | ||||
\(820\) | 7.54748 | + | 14.7792i | 0.263569 | + | 0.516110i | ||||
\(821\) | −15.6779 | + | 9.05167i | −0.547164 | + | 0.315905i | −0.747977 | − | 0.663724i | \(-0.768975\pi\) |
0.200813 | + | 0.979630i | \(0.435642\pi\) | |||||||
\(822\) | 33.8789 | − | 4.22991i | 1.18166 | − | 0.147535i | ||||
\(823\) | −5.91819 | + | 10.2506i | −0.206295 | + | 0.357314i | −0.950545 | − | 0.310588i | \(-0.899474\pi\) |
0.744249 | + | 0.667902i | \(0.232807\pi\) | |||||||
\(824\) | −43.8683 | − | 35.0820i | −1.52822 | − | 1.22214i | ||||
\(825\) | 0.501229 | − | 6.57145i | 0.0174506 | − | 0.228788i | ||||
\(826\) | −0.734202 | − | 1.71124i | −0.0255462 | − | 0.0595416i | ||||
\(827\) | − | 36.3034i | − | 1.26239i | −0.775623 | − | 0.631196i | \(-0.782564\pi\) | ||
0.775623 | − | 0.631196i | \(-0.217436\pi\) | |||||||
\(828\) | 0.809919 | − | 0.205445i | 0.0281466 | − | 0.00713972i | ||||
\(829\) | −12.1073 | + | 20.9704i | −0.420502 | + | 0.728331i | −0.995989 | − | 0.0894800i | \(-0.971479\pi\) |
0.575486 | + | 0.817811i | \(0.304813\pi\) | |||||||
\(830\) | −27.5653 | + | 32.7765i | −0.956805 | + | 1.13769i | ||||
\(831\) | −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 | ||||
\(836\) | −2.57315 | + | 2.50521i | −0.0889943 | + | 0.0866446i | ||||
\(837\) | 15.4295 | − | 26.7246i | 0.533320 | − | 0.923738i | ||||
\(838\) | 14.0296 | − | 33.2398i | 0.484644 | − | 1.14825i | ||||
\(839\) | 9.71534 | 0.335411 | 0.167705 | − | 0.985837i | \(-0.446364\pi\) | ||||
0.167705 | + | 0.985837i | \(0.446364\pi\) | |||||||
\(840\) | 17.8290 | − | 21.4555i | 0.615158 | − | 0.740285i | ||||
\(841\) | 22.9160 | 0.790206 | ||||||||
\(842\) | −3.11190 | + | 7.37292i | −0.107243 | + | 0.254088i | ||||
\(843\) | −6.00205 | + | 10.3959i | −0.206722 | + | 0.358052i | ||||
\(844\) | −18.2451 | − | 18.7399i | −0.628022 | − | 0.645053i | ||||
\(845\) | 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 | ||||
\(850\) | 20.6673 | − | 0.994545i | 0.708881 | − | 0.0341126i | ||||
\(851\) | −4.90488 | + | 8.49551i | −0.168137 | + | 0.291222i | ||||
\(852\) | 3.61411 | + | 14.2477i | 0.123817 | + | 0.488119i | ||||
\(853\) | 30.1601i | 1.03266i | 0.856389 | + | 0.516331i | \(0.172703\pi\) | ||||
−0.856389 | + | 0.516331i | \(0.827297\pi\) | |||||||
\(854\) | −5.19308 | + | 43.6907i | −0.177704 | + | 1.49506i | ||||
\(855\) | −0.822024 | + | 0.761713i | −0.0281126 | + | 0.0260500i | ||||
\(856\) | −35.6060 | − | 28.4745i | −1.21699 | − | 0.973237i | ||||
\(857\) | −13.3793 | + | 23.1737i | −0.457029 | + | 0.791597i | −0.998802 | − | 0.0489275i | \(-0.984420\pi\) |
0.541774 | + | 0.840524i | \(0.317753\pi\) | |||||||
\(858\) | 12.6593 | − | 1.58056i | 0.432181 | − | 0.0539594i | ||||
\(859\) | 24.3388 | − | 14.0520i | 0.830428 | − | 0.479448i | −0.0235714 | − | 0.999722i | \(-0.507504\pi\) |
0.853999 | + | 0.520274i | \(0.174170\pi\) | |||||||
\(860\) | −19.3739 | − | 37.9371i | −0.660644 | − | 1.29364i | ||||
\(861\) | −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 | 0.949943 | + | 0.312424i | \(0.101141\pi\) |
−0.204404 | + | 0.978887i | \(0.565526\pi\) | |||||||
\(864\) | 12.5551 | − | 27.6569i | 0.427135 | − | 0.940907i | ||||
\(865\) | 5.75625 | + | 25.2971i | 0.195718 | + | 0.860127i | ||||
\(866\) | −3.11867 | − | 1.31630i | −0.105977 | − | 0.0447298i | ||||
\(867\) | 14.0664 | 0.477720 | ||||||||
\(868\) | 30.4113 | − | 0.179605i | 1.03223 | − | 0.00609619i | ||||
\(869\) | − | 4.79371i | − | 0.162615i | ||||||
\(870\) | −12.2244 | + | 4.43384i | −0.414446 | + | 0.150321i | ||||
\(871\) | 11.1992 | − | 19.3976i | 0.379470 | − | 0.657262i | ||||
\(872\) | −6.30985 | + | 41.4785i | −0.213678 | + | 1.40464i | ||||
\(873\) | 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 | 0.993053 | + | 0.117670i | \(0.0375424\pi\) |
−0.394622 | + | 0.918844i | \(0.629124\pi\) | |||||||
\(878\) | −6.22830 | − | 49.8848i | −0.210195 | − | 1.68353i | ||||
\(879\) | 17.1613 | + | 9.90808i | 0.578836 | + | 0.334191i | ||||
\(880\) | 5.31387 | − | 4.66608i | 0.179130 | − | 0.157294i | ||||
\(881\) | 11.0583i | 0.372564i | 0.982496 | + | 0.186282i | \(0.0596438\pi\) | ||||
−0.982496 | + | 0.186282i | \(0.940356\pi\) | |||||||
\(882\) | 0.771262 | − | 2.04394i | 0.0259697 | − | 0.0688230i | ||||
\(883\) | 18.2084i | 0.612760i | 0.951909 | + | 0.306380i | \(0.0991178\pi\) | ||||
−0.951909 | + | 0.306380i | \(0.900882\pi\) | |||||||
\(884\) | 9.84797 | + | 38.8232i | 0.331223 | + | 1.30577i | ||||
\(885\) | 0.411622 | + | 1.80896i | 0.0138365 | + | 0.0608077i | ||||
\(886\) | 17.0881 | − | 2.13352i | 0.574086 | − | 0.0716768i | ||||
\(887\) | −24.4553 | + | 14.1193i | −0.821128 | + | 0.474078i | −0.850805 | − | 0.525481i | \(-0.823885\pi\) |
0.0296774 | + | 0.999560i | \(0.490552\pi\) | |||||||
\(888\) | 8.89541 | + | 22.7565i | 0.298510 | + | 0.763658i | ||||
\(889\) | −11.9956 | − | 2.96752i | −0.402318 | − | 0.0995276i | ||||
\(890\) | −6.29628 | + | 35.4759i | −0.211052 | + | 1.18915i | ||||
\(891\) | 3.27693 | + | 5.67581i | 0.109781 | + | 0.190147i | ||||
\(892\) | 5.86939 | − | 5.71442i | 0.196522 | − | 0.191333i | ||||
\(893\) | −0.242715 | + | 0.420395i | −0.00812216 | + | 0.0140680i | ||||
\(894\) | 13.5283 | − | 32.0522i | 0.452456 | − | 1.07199i | ||||
\(895\) | 29.5007 | + | 31.8365i | 0.986100 | + | 1.06418i | ||||
\(896\) | 29.7735 | − | 3.08846i | 0.994663 | − | 0.103178i | ||||
\(897\) | − | 21.6005i | − | 0.721218i | ||||||
\(898\) | −7.36384 | − | 3.10807i | −0.245734 | − | 0.103718i | ||||
\(899\) | −12.2769 | − | 7.08810i | −0.409459 | − | 0.236401i | ||||
\(900\) | 1.69367 | − | 1.41471i | 0.0564557 | − | 0.0471571i | ||||
\(901\) | 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 | ||||
\(906\) | 36.9501 | − | 4.61337i | 1.22759 | − | 0.153269i | ||||
\(907\) | 28.3649 | + | 16.3765i | 0.941840 | + | 0.543771i | 0.890536 | − | 0.454912i | \(-0.150329\pi\) |
0.0513031 | + | 0.998683i | \(0.483663\pi\) | |||||||
\(908\) | 19.1464 | − | 4.85670i | 0.635394 | − | 0.161175i | ||||
\(909\) | −2.28024 | −0.0756307 | ||||||||
\(910\) | 33.6895 | + | 46.3004i | 1.11680 | + | 1.53484i | ||||
\(911\) | 6.20517i | 0.205587i | 0.994703 | + | 0.102793i | \(0.0327780\pi\) | ||||
−0.994703 | + | 0.102793i | \(0.967222\pi\) | |||||||
\(912\) | 15.1394 | + | 0.405149i | 0.501317 | + | 0.0134158i | ||||
\(913\) | 5.35387 | − | 9.27318i | 0.177187 | − | 0.306897i | ||||
\(914\) | 28.8738 | − | 3.60501i | 0.955061 | − | 0.119243i | ||||
\(915\) | 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 | \(-0.967058\pi\) |
−0.407861 | + | 0.913044i | \(0.633725\pi\) | |||||||
\(920\) | −6.72482 | − | 9.90664i | −0.221711 | − | 0.326612i | ||||
\(921\) | −15.2950 | + | 26.4918i | −0.503988 | + | 0.872934i | ||||
\(922\) | −1.36267 | − | 0.575143i | −0.0448770 | − | 0.0189413i | ||||
\(923\) | −30.1710 | −0.993091 | ||||||||
\(924\) | −3.45165 | + | 6.06082i | −0.113551 | + | 0.199386i | ||||
\(925\) | −1.97039 | + | 25.8332i | −0.0647862 | + | 0.849390i | ||||
\(926\) | −20.0029 | − | 8.44266i | −0.657336 | − | 0.277443i | ||||
\(927\) | 3.79541 | + | 2.19128i | 0.124658 | + | 0.0719711i | ||||
\(928\) | −12.7052 | − | 5.76767i | −0.417070 | − | 0.189333i | ||||
\(929\) | 16.5181 | − | 9.53671i | 0.541940 | − | 0.312889i | −0.203925 | − | 0.978987i | \(-0.565370\pi\) |
0.745865 | + | 0.666097i | \(0.232036\pi\) | |||||||
\(930\) | −29.8331 | − | 5.29480i | −0.978267 | − | 0.173623i | ||||
\(931\) | 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 | ||||
\(934\) | −2.81135 | − | 22.5171i | −0.0919901 | − | 0.736783i | ||||
\(935\) | −5.04435 | + | 1.14782i | −0.164968 | + | 0.0375377i | ||||
\(936\) | 3.33617 | + | 2.66797i | 0.109046 | + | 0.0872054i | ||||
\(937\) | −4.46637 | −0.145910 | −0.0729549 | − | 0.997335i | \(-0.523243\pi\) | ||||
−0.0729549 | + | 0.997335i | \(0.523243\pi\) | |||||||
\(938\) | 4.82828 | + | 11.2535i | 0.157649 | + | 0.367440i | ||||
\(939\) | −28.6325 | −0.934388 | ||||||||
\(940\) | 0.519876 | − | 0.802152i | 0.0169565 | − | 0.0261633i | ||||
\(941\) | −12.8629 | + | 22.2793i | −0.419320 | + | 0.726283i | −0.995871 | − | 0.0907779i | \(-0.971065\pi\) |
0.576552 | + | 0.817061i | \(0.304398\pi\) | |||||||
\(942\) | 22.0417 | − | 2.75198i | 0.718156 | − | 0.0896645i | ||||
\(943\) | −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 | −0.246665 | − | 0.969101i | \(-0.579335\pi\) |
0.715934 | + | 0.698168i | \(0.246001\pi\) | |||||||
\(948\) | −14.4846 | + | 14.1022i | −0.470438 | + | 0.458017i | ||||
\(949\) | 37.7383 | + | 21.7882i | 1.22504 | + | 0.707275i | ||||
\(950\) | 14.2775 | + | 7.35178i | 0.463222 | + | 0.238523i | ||||
\(951\) | 32.5874 | 1.05672 | ||||||||
\(952\) | −20.2241 | − | 8.39564i | −0.655466 | − | 0.272104i | ||||
\(953\) | − | 13.1368i | − | 0.425544i | −0.977102 | − | 0.212772i | \(-0.931751\pi\) | ||
0.977102 | − | 0.212772i | \(-0.0682492\pi\) | |||||||
\(954\) | 1.85034 | + | 0.780978i | 0.0599071 | + | 0.0252851i | ||||
\(955\) | 5.49246 | + | 24.1378i | 0.177732 | + | 0.781081i | ||||
\(956\) | 9.66533 | − | 9.41013i | 0.312599 | − | 0.304345i | ||||
\(957\) | 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 | ||||
\(960\) | −29.7314 | − | 2.32961i | −0.959576 | − | 0.0751877i | ||||
\(961\) | −1.01574 | − | 1.75931i | −0.0327657 | − | 0.0567519i | ||||
\(962\) | −49.7653 | + | 6.21338i | −1.60450 | + | 0.200327i | ||||
\(963\) | 3.08057 | + | 1.77857i | 0.0992699 | + | 0.0573135i | ||||
\(964\) | −0.672042 | − | 2.64936i | −0.0216450 | − | 0.0853302i | ||||
\(965\) | 4.35663 | − | 4.03699i | 0.140245 | − | 0.129955i | ||||
\(966\) | 9.45875 | + | 7.07049i | 0.304330 | + | 0.227489i | ||||
\(967\) | −34.0366 | −1.09454 | −0.547272 | − | 0.836955i | \(-0.684334\pi\) | ||||
−0.547272 | + | 0.836955i | \(0.684334\pi\) | |||||||
\(968\) | 18.3274 | − | 22.9175i | 0.589064 | − | 0.736597i | ||||
\(969\) | −9.59481 | − | 5.53957i | −0.308230 | − | 0.177957i | ||||
\(970\) | 26.5934 | − | 31.6209i | 0.853863 | − | 1.01529i | ||||
\(971\) | 31.6711 | − | 18.2853i | 1.01637 | − | 0.586804i | 0.103323 | − | 0.994648i | \(-0.467052\pi\) |
0.913052 | + | 0.407844i | \(0.133719\pi\) | |||||||
\(972\) | −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 | ||||
\(976\) | 41.3490 | − | 22.4199i | 1.32355 | − | 0.717643i | ||||
\(977\) | 21.9380 | + | 12.6659i | 0.701859 | + | 0.405218i | 0.808039 | − | 0.589128i | \(-0.200529\pi\) |
−0.106180 | + | 0.994347i | \(0.533862\pi\) | |||||||
\(978\) | 4.44571 | − | 10.5331i | 0.142158 | − | 0.336810i | ||||
\(979\) | − | 9.00843i | − | 0.287911i | ||||||
\(980\) | −31.3024 | − | 0.403015i | −0.999917 | − | 0.0128739i | ||||
\(981\) | − | 3.27347i | − | 0.104514i | ||||||
\(982\) | −17.7575 | − | 7.49493i | −0.566664 | − | 0.239173i | ||||
\(983\) | −39.3227 | − | 22.7030i | −1.25420 | − | 0.724113i | −0.282259 | − | 0.959338i | \(-0.591084\pi\) |
−0.971941 | + | 0.235225i | \(0.924417\pi\) | |||||||
\(984\) | −2.63148 | + | 17.2983i | −0.0838884 | + | 0.551450i | ||||
\(985\) | −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 | ||||
\(990\) | −0.355131 | + | 0.422269i | −0.0112868 | + | 0.0134206i | ||||
\(991\) | 13.6639 | + | 7.88884i | 0.434047 | + | 0.250597i | 0.701069 | − | 0.713093i | \(-0.252706\pi\) |
−0.267022 | + | 0.963690i | \(0.586040\pi\) | |||||||
\(992\) | −18.9183 | − | 26.4406i | −0.600657 | − | 0.839489i | ||||
\(993\) | −3.61677 | −0.114775 | ||||||||
\(994\) | 9.87590 | − | 13.2118i | 0.313244 | − | 0.419052i | ||||
\(995\) | −1.13673 | − | 1.22674i | −0.0360369 | − | 0.0388902i | ||||
\(996\) | −43.7698 | + | 11.1027i | −1.38690 | + | 0.351803i | ||||
\(997\) | 1.31350 | + | 0.758348i | 0.0415989 | + | 0.0240171i | 0.520655 | − | 0.853767i | \(-0.325688\pi\) |
−0.479056 | + | 0.877784i | \(0.659021\pi\) | |||||||
\(998\) | 2.61699 | + | 20.9605i | 0.0828394 | + | 0.663492i | ||||
\(999\) | −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.59.6 | yes | 80 | |
4.3 | odd | 2 | 1120.2.bq.b.1039.12 | 80 | |||
5.4 | even | 2 | inner | 280.2.ba.b.59.35 | yes | 80 | |
7.5 | odd | 6 | inner | 280.2.ba.b.19.22 | yes | 80 | |
8.3 | odd | 2 | inner | 280.2.ba.b.59.19 | yes | 80 | |
8.5 | even | 2 | 1120.2.bq.b.1039.11 | 80 | |||
20.19 | odd | 2 | 1120.2.bq.b.1039.30 | 80 | |||
28.19 | even | 6 | 1120.2.bq.b.719.29 | 80 | |||
35.19 | odd | 6 | inner | 280.2.ba.b.19.19 | yes | 80 | |
40.19 | odd | 2 | inner | 280.2.ba.b.59.22 | yes | 80 | |
40.29 | even | 2 | 1120.2.bq.b.1039.29 | 80 | |||
56.5 | odd | 6 | 1120.2.bq.b.719.30 | 80 | |||
56.19 | even | 6 | inner | 280.2.ba.b.19.35 | yes | 80 | |
140.19 | even | 6 | 1120.2.bq.b.719.11 | 80 | |||
280.19 | even | 6 | inner | 280.2.ba.b.19.6 | ✓ | 80 | |
280.229 | odd | 6 | 1120.2.bq.b.719.12 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.ba.b.19.6 | ✓ | 80 | 280.19 | even | 6 | inner | |
280.2.ba.b.19.19 | yes | 80 | 35.19 | odd | 6 | inner | |
280.2.ba.b.19.22 | yes | 80 | 7.5 | odd | 6 | inner | |
280.2.ba.b.19.35 | yes | 80 | 56.19 | even | 6 | inner | |
280.2.ba.b.59.6 | yes | 80 | 1.1 | even | 1 | trivial | |
280.2.ba.b.59.19 | yes | 80 | 8.3 | odd | 2 | inner | |
280.2.ba.b.59.22 | yes | 80 | 40.19 | odd | 2 | inner | |
280.2.ba.b.59.35 | yes | 80 | 5.4 | even | 2 | inner | |
1120.2.bq.b.719.11 | 80 | 140.19 | even | 6 | |||
1120.2.bq.b.719.12 | 80 | 280.229 | odd | 6 | |||
1120.2.bq.b.719.29 | 80 | 28.19 | even | 6 | |||
1120.2.bq.b.719.30 | 80 | 56.5 | odd | 6 | |||
1120.2.bq.b.1039.11 | 80 | 8.5 | even | 2 | |||
1120.2.bq.b.1039.12 | 80 | 4.3 | odd | 2 | |||
1120.2.bq.b.1039.29 | 80 | 40.29 | even | 2 | |||
1120.2.bq.b.1039.30 | 80 | 20.19 | odd | 2 |