Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), degree \(6\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 29.40 | ||
Character | \(\chi\) | \(=\) | 570.29 |
Dual form | 570.2.bf.a.59.40 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.984808 | − | 0.173648i | 0.696364 | − | 0.122788i | ||||
\(3\) | 1.70539 | + | 0.302753i | 0.984605 | + | 0.174795i | ||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | 1.23914 | − | 1.86133i | 0.554160 | − | 0.832410i | ||||
\(6\) | 1.73205 | + | 0.00201678i | 0.707106 | + | 0.000823347i | ||||
\(7\) | −4.20953 | − | 2.43037i | −1.59105 | − | 0.918594i | −0.993127 | − | 0.117042i | \(-0.962659\pi\) |
−0.597925 | − | 0.801552i | \(-0.704008\pi\) | |||||||
\(8\) | 0.866025 | − | 0.500000i | 0.306186 | − | 0.176777i | ||||
\(9\) | 2.81668 | + | 1.03262i | 0.938894 | + | 0.344208i | ||||
\(10\) | 0.897098 | − | 2.04822i | 0.283687 | − | 0.647705i | ||||
\(11\) | −0.466984 | + | 0.269614i | −0.140801 | + | 0.0812915i | −0.568746 | − | 0.822513i | \(-0.692571\pi\) |
0.427945 | + | 0.903805i | \(0.359238\pi\) | |||||||
\(12\) | 1.70609 | − | 0.298781i | 0.492505 | − | 0.0862507i | ||||
\(13\) | 3.83469 | + | 3.21768i | 1.06355 | + | 0.892425i | 0.994453 | − | 0.105185i | \(-0.0335434\pi\) |
0.0690982 | + | 0.997610i | \(0.477988\pi\) | |||||||
\(14\) | −4.56760 | − | 1.66247i | −1.22074 | − | 0.444314i | ||||
\(15\) | 2.67673 | − | 2.79912i | 0.691130 | − | 0.722731i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | −0.787939 | − | 4.46862i | −0.191103 | − | 1.08380i | −0.917860 | − | 0.396905i | \(-0.870084\pi\) |
0.726757 | − | 0.686895i | \(-0.241027\pi\) | |||||||
\(18\) | 2.95320 | + | 0.527823i | 0.696076 | + | 0.124409i | ||||
\(19\) | 2.88507 | + | 3.26747i | 0.661881 | + | 0.749609i | ||||
\(20\) | 0.527799 | − | 2.17288i | 0.118019 | − | 0.485872i | ||||
\(21\) | −6.44306 | − | 5.41917i | −1.40599 | − | 1.18256i | ||||
\(22\) | −0.413072 | + | 0.346608i | −0.0880672 | + | 0.0738972i | ||||
\(23\) | −3.77516 | + | 1.37404i | −0.787175 | + | 0.286508i | −0.704161 | − | 0.710040i | \(-0.748677\pi\) |
−0.0830135 | + | 0.996548i | \(0.526454\pi\) | |||||||
\(24\) | 1.62828 | − | 0.590501i | 0.332372 | − | 0.120535i | ||||
\(25\) | −1.92907 | − | 4.61288i | −0.385813 | − | 0.922577i | ||||
\(26\) | 4.33517 | + | 2.50291i | 0.850198 | + | 0.490862i | ||||
\(27\) | 4.49090 | + | 2.61378i | 0.864274 | + | 0.503022i | ||||
\(28\) | −4.78690 | − | 0.844059i | −0.904639 | − | 0.159512i | ||||
\(29\) | 0.161138 | − | 0.913858i | 0.0299225 | − | 0.169699i | −0.966184 | − | 0.257852i | \(-0.916985\pi\) |
0.996107 | + | 0.0881529i | \(0.0280964\pi\) | |||||||
\(30\) | 2.15000 | − | 3.22141i | 0.392535 | − | 0.588146i | ||||
\(31\) | 4.96339 | + | 2.86561i | 0.891450 | + | 0.514679i | 0.874417 | − | 0.485176i | \(-0.161244\pi\) |
0.0170338 | + | 0.999855i | \(0.494578\pi\) | |||||||
\(32\) | 0.642788 | − | 0.766044i | 0.113630 | − | 0.135419i | ||||
\(33\) | −0.878015 | + | 0.318414i | −0.152843 | + | 0.0554288i | ||||
\(34\) | −1.55194 | − | 4.26391i | −0.266155 | − | 0.731254i | ||||
\(35\) | −9.73990 | + | 4.82373i | −1.64634 | + | 0.815360i | ||||
\(36\) | 2.99999 | + | 0.00698632i | 0.499999 | + | 0.00116439i | ||||
\(37\) | −8.71474 | −1.43269 | −0.716347 | − | 0.697744i | \(-0.754187\pi\) | ||||
−0.716347 | + | 0.697744i | \(0.754187\pi\) | |||||||
\(38\) | 3.40863 | + | 2.71684i | 0.552953 | + | 0.440730i | ||||
\(39\) | 5.56546 | + | 6.64836i | 0.891186 | + | 1.06459i | ||||
\(40\) | 0.142463 | − | 2.23153i | 0.0225254 | − | 0.352835i | ||||
\(41\) | 0.823031 | − | 0.690605i | 0.128536 | − | 0.107854i | −0.576254 | − | 0.817271i | \(-0.695486\pi\) |
0.704789 | + | 0.709417i | \(0.251041\pi\) | |||||||
\(42\) | −7.28621 | − | 4.21801i | −1.12429 | − | 0.650854i | ||||
\(43\) | −4.14232 | + | 11.3809i | −0.631697 | + | 1.73557i | 0.0446626 | + | 0.999002i | \(0.485779\pi\) |
−0.676360 | + | 0.736571i | \(0.736443\pi\) | |||||||
\(44\) | −0.346608 | + | 0.413072i | −0.0522532 | + | 0.0622729i | ||||
\(45\) | 5.41231 | − | 3.96320i | 0.806819 | − | 0.590799i | ||||
\(46\) | −3.47920 | + | 2.00872i | −0.512981 | + | 0.296169i | ||||
\(47\) | −1.74721 | + | 9.90889i | −0.254856 | + | 1.44536i | 0.541586 | + | 0.840645i | \(0.317824\pi\) |
−0.796442 | + | 0.604715i | \(0.793287\pi\) | |||||||
\(48\) | 1.50101 | − | 0.864278i | 0.216652 | − | 0.124748i | ||||
\(49\) | 8.31341 | + | 14.3993i | 1.18763 | + | 2.05704i | ||||
\(50\) | −2.70078 | − | 4.20783i | −0.381948 | − | 0.595076i | ||||
\(51\) | 0.00915125 | − | 7.85927i | 0.00128143 | − | 1.10052i | ||||
\(52\) | 4.70394 | + | 1.71209i | 0.652319 | + | 0.237425i | ||||
\(53\) | −3.29753 | − | 9.05989i | −0.452950 | − | 1.24447i | −0.930638 | − | 0.365941i | \(-0.880747\pi\) |
0.477687 | − | 0.878530i | \(-0.341475\pi\) | |||||||
\(54\) | 4.87655 | + | 1.79423i | 0.663614 | + | 0.244164i | ||||
\(55\) | −0.0768201 | + | 1.20330i | −0.0103584 | + | 0.162253i | ||||
\(56\) | −4.86074 | −0.649544 | ||||||||
\(57\) | 3.93092 | + | 6.44576i | 0.520663 | + | 0.853762i | ||||
\(58\) | − | 0.927955i | − | 0.121847i | ||||||
\(59\) | −0.0388901 | − | 0.220557i | −0.00506306 | − | 0.0287141i | 0.982172 | − | 0.187987i | \(-0.0601962\pi\) |
−0.987235 | + | 0.159273i | \(0.949085\pi\) | |||||||
\(60\) | 1.55795 | − | 3.54581i | 0.201130 | − | 0.457763i | ||||
\(61\) | −2.38006 | + | 0.866272i | −0.304736 | + | 0.110915i | −0.489862 | − | 0.871800i | \(-0.662953\pi\) |
0.185126 | + | 0.982715i | \(0.440731\pi\) | |||||||
\(62\) | 5.38559 | + | 1.96019i | 0.683971 | + | 0.248945i | ||||
\(63\) | −9.34724 | − | 11.1924i | −1.17764 | − | 1.41011i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 10.7409 | − | 3.15044i | 1.33224 | − | 0.390764i | ||||
\(66\) | −0.809384 | + | 0.466042i | −0.0996283 | + | 0.0573658i | ||||
\(67\) | −0.877212 | + | 4.97491i | −0.107168 | + | 0.607783i | 0.883164 | + | 0.469065i | \(0.155409\pi\) |
−0.990332 | + | 0.138717i | \(0.955702\pi\) | |||||||
\(68\) | −2.26878 | − | 3.92964i | −0.275130 | − | 0.476539i | ||||
\(69\) | −6.85409 | + | 1.20033i | −0.825136 | + | 0.144503i | ||||
\(70\) | −8.75430 | + | 6.44177i | −1.04634 | + | 0.769938i | ||||
\(71\) | 3.58325 | + | 1.30419i | 0.425253 | + | 0.154779i | 0.545776 | − | 0.837931i | \(-0.316235\pi\) |
−0.120523 | + | 0.992711i | \(0.538457\pi\) | |||||||
\(72\) | 2.95563 | − | 0.514063i | 0.348324 | − | 0.0605829i | ||||
\(73\) | −0.384508 | − | 0.458239i | −0.0450033 | − | 0.0536328i | 0.743073 | − | 0.669210i | \(-0.233367\pi\) |
−0.788077 | + | 0.615577i | \(0.788923\pi\) | |||||||
\(74\) | −8.58235 | + | 1.51330i | −0.997678 | + | 0.175917i | ||||
\(75\) | −1.89324 | − | 8.45078i | −0.218612 | − | 0.975812i | ||||
\(76\) | 3.82862 | + | 2.08366i | 0.439173 | + | 0.239013i | ||||
\(77\) | 2.62104 | 0.298696 | ||||||||
\(78\) | 6.63538 | + | 5.58092i | 0.751309 | + | 0.631915i | ||||
\(79\) | −3.29052 | − | 3.92149i | −0.370213 | − | 0.441202i | 0.548487 | − | 0.836159i | \(-0.315204\pi\) |
−0.918700 | + | 0.394957i | \(0.870760\pi\) | |||||||
\(80\) | −0.247201 | − | 2.22236i | −0.0276379 | − | 0.248468i | ||||
\(81\) | 6.86738 | + | 5.81714i | 0.763042 | + | 0.646349i | ||||
\(82\) | 0.690605 | − | 0.823031i | 0.0762646 | − | 0.0908886i | ||||
\(83\) | 3.89026 | − | 6.73813i | 0.427012 | − | 0.739606i | −0.569594 | − | 0.821926i | \(-0.692900\pi\) |
0.996606 | + | 0.0823202i | \(0.0262330\pi\) | |||||||
\(84\) | −7.90797 | − | 2.88870i | −0.862830 | − | 0.315183i | ||||
\(85\) | −9.29393 | − | 4.07063i | −1.00807 | − | 0.441522i | ||||
\(86\) | −2.10311 | + | 11.9273i | −0.226784 | + | 1.28616i | ||||
\(87\) | 0.551475 | − | 1.50969i | 0.0591244 | − | 0.161856i | ||||
\(88\) | −0.269614 | + | 0.466984i | −0.0287409 | + | 0.0497807i | ||||
\(89\) | −3.04459 | − | 2.55472i | −0.322726 | − | 0.270799i | 0.467002 | − | 0.884256i | \(-0.345334\pi\) |
−0.789728 | + | 0.613457i | \(0.789778\pi\) | |||||||
\(90\) | 4.64188 | − | 4.84282i | 0.489297 | − | 0.510479i | ||||
\(91\) | −8.32205 | − | 22.8646i | −0.872388 | − | 2.39687i | ||||
\(92\) | −3.07754 | + | 2.58236i | −0.320855 | + | 0.269230i | ||||
\(93\) | 7.59691 | + | 6.38966i | 0.787763 | + | 0.662576i | ||||
\(94\) | 10.0618i | 1.03779i | ||||||||
\(95\) | 9.65683 | − | 1.32121i | 0.990770 | − | 0.135553i | ||||
\(96\) | 1.32812 | − | 1.11180i | 0.135551 | − | 0.113472i | ||||
\(97\) | 1.78915 | + | 10.1468i | 0.181661 | + | 1.03025i | 0.930171 | + | 0.367126i | \(0.119658\pi\) |
−0.748510 | + | 0.663123i | \(0.769231\pi\) | |||||||
\(98\) | 10.6875 | + | 12.7369i | 1.07960 | + | 1.28662i | ||||
\(99\) | −1.59375 | + | 0.277197i | −0.160178 | + | 0.0278593i | ||||
\(100\) | −3.39043 | − | 3.67491i | −0.339043 | − | 0.367491i | ||||
\(101\) | 6.78906 | − | 8.09089i | 0.675537 | − | 0.805073i | −0.313990 | − | 0.949426i | \(-0.601666\pi\) |
0.989526 | + | 0.144353i | \(0.0461102\pi\) | |||||||
\(102\) | −1.35574 | − | 7.74146i | −0.134238 | − | 0.766519i | ||||
\(103\) | −0.593156 | − | 1.02738i | −0.0584454 | − | 0.101230i | 0.835322 | − | 0.549760i | \(-0.185281\pi\) |
−0.893768 | + | 0.448530i | \(0.851948\pi\) | |||||||
\(104\) | 4.92978 | + | 0.869253i | 0.483405 | + | 0.0852373i | ||||
\(105\) | −18.0707 | + | 5.27753i | −1.76352 | + | 0.515035i | ||||
\(106\) | −4.82066 | − | 8.34964i | −0.468224 | − | 0.810988i | ||||
\(107\) | −4.66124 | − | 2.69117i | −0.450619 | − | 0.260165i | 0.257473 | − | 0.966286i | \(-0.417110\pi\) |
−0.708092 | + | 0.706121i | \(0.750444\pi\) | |||||||
\(108\) | 5.11403 | + | 0.920172i | 0.492098 | + | 0.0885436i | ||||
\(109\) | 2.57506 | − | 7.07493i | 0.246646 | − | 0.677655i | −0.753157 | − | 0.657840i | \(-0.771470\pi\) |
0.999804 | − | 0.0198148i | \(-0.00630766\pi\) | |||||||
\(110\) | 0.133298 | + | 1.19836i | 0.0127094 | + | 0.114259i | ||||
\(111\) | −14.8620 | − | 2.63842i | −1.41064 | − | 0.250428i | ||||
\(112\) | −4.78690 | + | 0.844059i | −0.452319 | + | 0.0797561i | ||||
\(113\) | 8.06127i | 0.758341i | 0.925327 | + | 0.379170i | \(0.123791\pi\) | ||||
−0.925327 | + | 0.379170i | \(0.876209\pi\) | |||||||
\(114\) | 4.99050 | + | 5.66524i | 0.467403 | + | 0.530598i | ||||
\(115\) | −2.12040 | + | 8.72943i | −0.197728 | + | 0.814023i | ||||
\(116\) | −0.161138 | − | 0.913858i | −0.0149613 | − | 0.0848495i | ||||
\(117\) | 7.47844 | + | 13.0230i | 0.691382 | + | 1.20397i | ||||
\(118\) | −0.0765986 | − | 0.210453i | −0.00705147 | − | 0.0193738i | ||||
\(119\) | −7.54356 | + | 20.7258i | −0.691517 | + | 1.89993i | ||||
\(120\) | 0.918557 | − | 3.76248i | 0.0838524 | − | 0.343466i | ||||
\(121\) | −5.35462 | + | 9.27447i | −0.486783 | + | 0.843134i | ||||
\(122\) | −2.19348 | + | 1.26640i | −0.198588 | + | 0.114655i | ||||
\(123\) | 1.61267 | − | 0.928572i | 0.145409 | − | 0.0837266i | ||||
\(124\) | 5.64415 | + | 0.995217i | 0.506860 | + | 0.0893731i | ||||
\(125\) | −10.9765 | − | 2.12538i | −0.981765 | − | 0.190100i | ||||
\(126\) | −11.1488 | − | 9.39927i | −0.993212 | − | 0.837353i | ||||
\(127\) | −6.35838 | − | 5.33532i | −0.564215 | − | 0.473433i | 0.315505 | − | 0.948924i | \(-0.397826\pi\) |
−0.879721 | + | 0.475491i | \(0.842270\pi\) | |||||||
\(128\) | 0.342020 | − | 0.939693i | 0.0302306 | − | 0.0830579i | ||||
\(129\) | −10.5099 | + | 18.1548i | −0.925341 | + | 1.59844i | ||||
\(130\) | 10.0306 | − | 4.96771i | 0.879744 | − | 0.435697i | ||||
\(131\) | −9.56309 | + | 1.68623i | −0.835531 | + | 0.147327i | −0.575015 | − | 0.818143i | \(-0.695004\pi\) |
−0.260516 | + | 0.965470i | \(0.583893\pi\) | |||||||
\(132\) | −0.716160 | + | 0.599510i | −0.0623337 | + | 0.0521807i | ||||
\(133\) | −4.20362 | − | 20.7663i | −0.364500 | − | 1.80067i | ||||
\(134\) | 5.05166i | 0.436397i | ||||||||
\(135\) | 10.4299 | − | 5.12019i | 0.897667 | − | 0.440675i | ||||
\(136\) | −2.91669 | − | 3.47597i | −0.250104 | − | 0.298062i | ||||
\(137\) | 15.6459 | − | 5.69464i | 1.33672 | − | 0.486526i | 0.427941 | − | 0.903807i | \(-0.359239\pi\) |
0.908778 | + | 0.417281i | \(0.137017\pi\) | |||||||
\(138\) | −6.54153 | + | 2.37230i | −0.556852 | + | 0.201944i | ||||
\(139\) | 5.63695 | + | 4.72996i | 0.478120 | + | 0.401190i | 0.849746 | − | 0.527192i | \(-0.176755\pi\) |
−0.371626 | + | 0.928383i | \(0.621200\pi\) | |||||||
\(140\) | −7.50270 | + | 7.86407i | −0.634094 | + | 0.664635i | ||||
\(141\) | −5.97961 | + | 16.3695i | −0.503574 | + | 1.37856i | ||||
\(142\) | 3.75528 | + | 0.662157i | 0.315136 | + | 0.0555670i | ||||
\(143\) | −2.65827 | − | 0.468725i | −0.222296 | − | 0.0391967i | ||||
\(144\) | 2.82146 | − | 1.01949i | 0.235122 | − | 0.0849577i | ||||
\(145\) | −1.50131 | − | 1.43233i | −0.124677 | − | 0.118948i | ||||
\(146\) | −0.458239 | − | 0.384508i | −0.0379241 | − | 0.0318221i | ||||
\(147\) | 9.81815 | + | 27.0732i | 0.809788 | + | 2.23296i | ||||
\(148\) | −8.18918 | + | 2.98062i | −0.673146 | + | 0.245005i | ||||
\(149\) | −3.94833 | − | 4.70544i | −0.323460 | − | 0.385484i | 0.579671 | − | 0.814851i | \(-0.303181\pi\) |
−0.903130 | + | 0.429367i | \(0.858737\pi\) | |||||||
\(150\) | −3.33194 | − | 7.99363i | −0.272052 | − | 0.652678i | ||||
\(151\) | − | 14.0203i | − | 1.14095i | −0.821313 | − | 0.570477i | \(-0.806758\pi\) | ||
0.821313 | − | 0.570477i | \(-0.193242\pi\) | |||||||
\(152\) | 4.13228 | + | 1.38718i | 0.335172 | + | 0.112515i | ||||
\(153\) | 2.39503 | − | 13.4003i | 0.193627 | − | 1.08335i | ||||
\(154\) | 2.58122 | − | 0.455140i | 0.208001 | − | 0.0366762i | ||||
\(155\) | 11.4842 | − | 5.68758i | 0.922430 | − | 0.456838i | ||||
\(156\) | 7.50369 | + | 4.34391i | 0.600776 | + | 0.347792i | ||||
\(157\) | 1.49550 | − | 4.10885i | 0.119354 | − | 0.327922i | −0.865601 | − | 0.500735i | \(-0.833063\pi\) |
0.984955 | + | 0.172813i | \(0.0552855\pi\) | |||||||
\(158\) | −3.92149 | − | 3.29052i | −0.311977 | − | 0.261780i | ||||
\(159\) | −2.88065 | − | 16.4489i | −0.228450 | − | 1.30449i | ||||
\(160\) | −0.629355 | − | 2.14567i | −0.0497549 | − | 0.169630i | ||||
\(161\) | 19.2311 | + | 3.39096i | 1.51562 | + | 0.267245i | ||||
\(162\) | 7.77319 | + | 4.53625i | 0.610719 | + | 0.356402i | ||||
\(163\) | 2.67537 | − | 1.54463i | 0.209551 | − | 0.120985i | −0.391552 | − | 0.920156i | \(-0.628062\pi\) |
0.601103 | + | 0.799172i | \(0.294728\pi\) | |||||||
\(164\) | 0.537195 | − | 0.930450i | 0.0419479 | − | 0.0726559i | ||||
\(165\) | −0.495311 | + | 2.02883i | −0.0385599 | + | 0.157944i | ||||
\(166\) | 2.66109 | − | 7.31130i | 0.206541 | − | 0.567467i | ||||
\(167\) | −5.83488 | − | 16.0312i | −0.451517 | − | 1.24053i | −0.931657 | − | 0.363340i | \(-0.881636\pi\) |
0.480140 | − | 0.877192i | \(-0.340586\pi\) | |||||||
\(168\) | −8.28944 | − | 1.47161i | −0.639544 | − | 0.113537i | ||||
\(169\) | 2.09391 | + | 11.8751i | 0.161070 | + | 0.913471i | ||||
\(170\) | −9.85959 | − | 2.39492i | −0.756196 | − | 0.183682i | ||||
\(171\) | 4.75226 | + | 12.1826i | 0.363415 | + | 0.931627i | ||||
\(172\) | 12.1113i | 0.923479i | ||||||||
\(173\) | 5.14940 | − | 0.907978i | 0.391502 | − | 0.0690323i | 0.0255677 | − | 0.999673i | \(-0.491861\pi\) |
0.365934 | + | 0.930641i | \(0.380750\pi\) | |||||||
\(174\) | 0.280942 | − | 1.58252i | 0.0212981 | − | 0.119971i | ||||
\(175\) | −3.09056 | + | 24.1064i | −0.233625 | + | 1.82227i | ||||
\(176\) | −0.184427 | + | 0.506708i | −0.0139017 | + | 0.0381945i | ||||
\(177\) | 0.000451677 | − | 0.387909i | 3.39501e−5 | − | 0.0291570i | ||||
\(178\) | −3.44196 | − | 1.98722i | −0.257986 | − | 0.148948i | ||||
\(179\) | 10.6381 | + | 18.4257i | 0.795127 | + | 1.37720i | 0.922759 | + | 0.385378i | \(0.125929\pi\) |
−0.127632 | + | 0.991822i | \(0.540738\pi\) | |||||||
\(180\) | 3.73041 | − | 5.57531i | 0.278048 | − | 0.415559i | ||||
\(181\) | −2.70329 | − | 0.476664i | −0.200934 | − | 0.0354301i | 0.0722751 | − | 0.997385i | \(-0.476974\pi\) |
−0.273209 | + | 0.961955i | \(0.588085\pi\) | |||||||
\(182\) | −12.1660 | − | 21.0722i | −0.901806 | − | 1.56197i | ||||
\(183\) | −4.32119 | + | 0.756756i | −0.319432 | + | 0.0559410i | ||||
\(184\) | −2.58236 | + | 3.07754i | −0.190374 | + | 0.226879i | ||||
\(185\) | −10.7988 | + | 16.2210i | −0.793942 | + | 1.19259i | ||||
\(186\) | 8.59105 | + | 4.97339i | 0.629926 | + | 0.364667i | ||||
\(187\) | 1.57276 | + | 1.87434i | 0.115011 | + | 0.137065i | ||||
\(188\) | 1.74721 | + | 9.90889i | 0.127428 | + | 0.722680i | ||||
\(189\) | −12.5521 | − | 21.9173i | −0.913031 | − | 1.59425i | ||||
\(190\) | 9.28070 | − | 2.97803i | 0.673293 | − | 0.216049i | ||||
\(191\) | − | 3.59987i | − | 0.260477i | −0.991483 | − | 0.130239i | \(-0.958426\pi\) | ||
0.991483 | − | 0.130239i | \(-0.0415743\pi\) | |||||||
\(192\) | 1.11488 | − | 1.32553i | 0.0804599 | − | 0.0956619i | ||||
\(193\) | 15.4785 | − | 12.9880i | 1.11417 | − | 0.934896i | 0.115870 | − | 0.993264i | \(-0.463034\pi\) |
0.998295 | + | 0.0583686i | \(0.0185899\pi\) | |||||||
\(194\) | 3.52394 | + | 9.68194i | 0.253004 | + | 0.695123i | ||||
\(195\) | 19.2711 | − | 2.12088i | 1.38003 | − | 0.151880i | ||||
\(196\) | 12.7369 | + | 10.6875i | 0.909778 | + | 0.763394i | ||||
\(197\) | 0.740333 | − | 1.28229i | 0.0527465 | − | 0.0913597i | −0.838447 | − | 0.544984i | \(-0.816536\pi\) |
0.891193 | + | 0.453624i | \(0.149869\pi\) | |||||||
\(198\) | −1.52141 | + | 0.549738i | −0.108122 | + | 0.0390682i | ||||
\(199\) | −1.87199 | + | 10.6166i | −0.132702 | + | 0.752588i | 0.843731 | + | 0.536766i | \(0.180354\pi\) |
−0.976433 | + | 0.215822i | \(0.930757\pi\) | |||||||
\(200\) | −3.97706 | − | 3.03034i | −0.281221 | − | 0.214277i | ||||
\(201\) | −3.00216 | + | 8.21857i | −0.211756 | + | 0.579693i | ||||
\(202\) | 5.28095 | − | 9.14687i | 0.371566 | − | 0.643572i | ||||
\(203\) | −2.89933 | + | 3.45528i | −0.203493 | + | 0.242513i | ||||
\(204\) | −2.67943 | − | 7.38843i | −0.187598 | − | 0.517294i | ||||
\(205\) | −0.265591 | − | 2.38768i | −0.0185497 | − | 0.166763i | ||||
\(206\) | −0.762546 | − | 0.908767i | −0.0531291 | − | 0.0633168i | ||||
\(207\) | −12.0523 | − | 0.0280671i | −0.837691 | − | 0.00195080i | ||||
\(208\) | 5.00583 | 0.347092 | ||||||||
\(209\) | −2.22824 | − | 0.748003i | −0.154130 | − | 0.0517404i | ||||
\(210\) | −16.8797 | + | 8.33530i | −1.16481 | + | 0.575190i | ||||
\(211\) | −9.77676 | + | 1.72391i | −0.673060 | + | 0.118679i | −0.499725 | − | 0.866184i | \(-0.666566\pi\) |
−0.173335 | + | 0.984863i | \(0.555454\pi\) | |||||||
\(212\) | −6.19733 | − | 7.38569i | −0.425634 | − | 0.507251i | ||||
\(213\) | 5.71597 | + | 3.30899i | 0.391652 | + | 0.226729i | ||||
\(214\) | −5.05774 | − | 1.84087i | −0.345740 | − | 0.125839i | ||||
\(215\) | 16.0507 | + | 21.8127i | 1.09465 | + | 1.48762i | ||||
\(216\) | 5.19612 | + | 0.0181510i | 0.353551 | + | 0.00123502i | ||||
\(217\) | −13.9290 | − | 24.1257i | −0.945562 | − | 1.63776i | ||||
\(218\) | 1.30739 | − | 7.41460i | 0.0885479 | − | 0.502180i | ||||
\(219\) | −0.517002 | − | 0.897886i | −0.0349357 | − | 0.0606735i | ||||
\(220\) | 0.339365 | + | 1.15700i | 0.0228800 | + | 0.0780053i | ||||
\(221\) | 11.3571 | − | 19.6711i | 0.763962 | − | 1.32322i | ||||
\(222\) | −15.0944 | − | 0.0175757i | −1.01307 | − | 0.00117960i | ||||
\(223\) | −14.2315 | − | 5.17985i | −0.953014 | − | 0.346869i | −0.181722 | − | 0.983350i | \(-0.558167\pi\) |
−0.771292 | + | 0.636481i | \(0.780389\pi\) | |||||||
\(224\) | −4.56760 | + | 1.66247i | −0.305186 | + | 0.111079i | ||||
\(225\) | −0.670198 | − | 14.9850i | −0.0446798 | − | 0.999001i | ||||
\(226\) | 1.39983 | + | 7.93881i | 0.0931150 | + | 0.528082i | ||||
\(227\) | − | 20.9974i | − | 1.39365i | −0.717243 | − | 0.696823i | \(-0.754596\pi\) | ||
0.717243 | − | 0.696823i | \(-0.245404\pi\) | |||||||
\(228\) | 5.89844 | + | 4.71258i | 0.390634 | + | 0.312098i | ||||
\(229\) | −24.8343 | −1.64110 | −0.820549 | − | 0.571577i | \(-0.806332\pi\) | ||||
−0.820549 | + | 0.571577i | \(0.806332\pi\) | |||||||
\(230\) | −0.572338 | + | 8.96501i | −0.0377388 | + | 0.591135i | ||||
\(231\) | 4.46989 | + | 0.793530i | 0.294097 | + | 0.0522104i | ||||
\(232\) | −0.317379 | − | 0.871993i | −0.0208370 | − | 0.0572491i | ||||
\(233\) | −27.2033 | − | 9.90120i | −1.78215 | − | 0.648649i | −0.999662 | − | 0.0259809i | \(-0.991729\pi\) |
−0.782486 | − | 0.622668i | \(-0.786049\pi\) | |||||||
\(234\) | 9.62624 | + | 11.5265i | 0.629287 | + | 0.753512i | ||||
\(235\) | 16.2786 | + | 15.5306i | 1.06190 | + | 1.01311i | ||||
\(236\) | −0.111980 | − | 0.193954i | −0.00728926 | − | 0.0126254i | ||||
\(237\) | −4.42436 | − | 7.68387i | −0.287393 | − | 0.499121i | ||||
\(238\) | −3.82997 | + | 21.7208i | −0.248260 | + | 1.40795i | ||||
\(239\) | 21.5476 | − | 12.4405i | 1.39380 | − | 0.804711i | 0.400066 | − | 0.916486i | \(-0.368987\pi\) |
0.993733 | + | 0.111776i | \(0.0356538\pi\) | |||||||
\(240\) | 0.251254 | − | 3.86482i | 0.0162184 | − | 0.249473i | ||||
\(241\) | 1.69599 | − | 2.02121i | 0.109248 | − | 0.130197i | −0.708649 | − | 0.705561i | \(-0.750695\pi\) |
0.817898 | + | 0.575364i | \(0.195140\pi\) | |||||||
\(242\) | −3.66277 | + | 10.0634i | −0.235452 | + | 0.646899i | ||||
\(243\) | 9.95038 | + | 11.9996i | 0.638317 | + | 0.769774i | ||||
\(244\) | −1.94024 | + | 1.62806i | −0.124211 | + | 0.104226i | ||||
\(245\) | 37.1032 | + | 2.36871i | 2.37044 | + | 0.151332i | ||||
\(246\) | 1.42692 | − | 1.19450i | 0.0909773 | − | 0.0761587i | ||||
\(247\) | 0.549661 | + | 21.8130i | 0.0349741 | + | 1.38793i | ||||
\(248\) | 5.73122 | 0.363933 | ||||||||
\(249\) | 8.67439 | − | 10.3133i | 0.549717 | − | 0.653580i | ||||
\(250\) | −11.1788 | − | 0.187052i | −0.707008 | − | 0.0118302i | ||||
\(251\) | −8.08613 | − | 22.2164i | −0.510392 | − | 1.40229i | −0.880830 | − | 0.473433i | \(-0.843015\pi\) |
0.370438 | − | 0.928857i | \(-0.379207\pi\) | |||||||
\(252\) | −12.6116 | − | 7.32050i | −0.794454 | − | 0.461148i | ||||
\(253\) | 1.39248 | − | 1.65949i | 0.0875443 | − | 0.104331i | ||||
\(254\) | −7.18825 | − | 4.15014i | −0.451031 | − | 0.260403i | ||||
\(255\) | −14.6173 | − | 9.75577i | −0.915373 | − | 0.610930i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 22.7974 | + | 4.01980i | 1.42206 | + | 0.250748i | 0.831178 | − | 0.556006i | \(-0.187667\pi\) |
0.590887 | + | 0.806755i | \(0.298778\pi\) | |||||||
\(258\) | −7.19765 | + | 19.7040i | −0.448106 | + | 1.22671i | ||||
\(259\) | 36.6849 | + | 21.1801i | 2.27949 | + | 1.31607i | ||||
\(260\) | 9.01560 | − | 6.63404i | 0.559124 | − | 0.411426i | ||||
\(261\) | 1.39754 | − | 2.40765i | 0.0865058 | − | 0.149030i | ||||
\(262\) | −9.12499 | + | 3.32123i | −0.563744 | + | 0.205186i | ||||
\(263\) | −17.4891 | + | 14.6751i | −1.07842 | + | 0.904903i | −0.995789 | − | 0.0916768i | \(-0.970777\pi\) |
−0.0826329 | + | 0.996580i | \(0.526333\pi\) | |||||||
\(264\) | −0.601176 | + | 0.714762i | −0.0369998 | + | 0.0439906i | ||||
\(265\) | −20.9495 | − | 5.08869i | −1.28692 | − | 0.312596i | ||||
\(266\) | −7.74579 | − | 19.7209i | −0.474925 | − | 1.20916i | ||||
\(267\) | −4.41875 | − | 5.27854i | −0.270423 | − | 0.323041i | ||||
\(268\) | 0.877212 | + | 4.97491i | 0.0535842 | + | 0.303891i | ||||
\(269\) | −15.2597 | + | 12.8044i | −0.930401 | + | 0.780699i | −0.975889 | − | 0.218265i | \(-0.929960\pi\) |
0.0454880 | + | 0.998965i | \(0.485516\pi\) | |||||||
\(270\) | 9.38238 | − | 6.85354i | 0.570993 | − | 0.417093i | ||||
\(271\) | −4.43514 | − | 1.61426i | −0.269415 | − | 0.0980592i | 0.203780 | − | 0.979017i | \(-0.434677\pi\) |
−0.473195 | + | 0.880958i | \(0.656900\pi\) | |||||||
\(272\) | −3.47597 | − | 2.91669i | −0.210762 | − | 0.176850i | ||||
\(273\) | −7.26996 | − | 41.5126i | −0.439998 | − | 2.51245i | ||||
\(274\) | 14.4193 | − | 8.32501i | 0.871104 | − | 0.502932i | ||||
\(275\) | 2.14454 | + | 1.63404i | 0.129321 | + | 0.0985364i | ||||
\(276\) | −6.03020 | + | 3.47218i | −0.362976 | + | 0.209001i | ||||
\(277\) | 11.5083 | − | 6.64433i | 0.691467 | − | 0.399219i | −0.112694 | − | 0.993630i | \(-0.535948\pi\) |
0.804161 | + | 0.594411i | \(0.202615\pi\) | |||||||
\(278\) | 6.37266 | + | 3.67926i | 0.382207 | + | 0.220667i | ||||
\(279\) | 11.0212 | + | 13.1968i | 0.659821 | + | 0.790073i | ||||
\(280\) | −6.02314 | + | 9.04743i | −0.359951 | + | 0.540687i | ||||
\(281\) | 1.15739 | − | 0.421254i | 0.0690439 | − | 0.0251299i | −0.307267 | − | 0.951623i | \(-0.599415\pi\) |
0.376311 | + | 0.926493i | \(0.377192\pi\) | |||||||
\(282\) | −3.04623 | + | 17.1592i | −0.181400 | + | 1.02181i | ||||
\(283\) | 2.92788 | − | 0.516264i | 0.174044 | − | 0.0306887i | −0.0859467 | − | 0.996300i | \(-0.527391\pi\) |
0.259991 | + | 0.965611i | \(0.416280\pi\) | |||||||
\(284\) | 3.81321 | 0.226272 | ||||||||
\(285\) | 16.8686 | + | 0.670469i | 0.999211 | + | 0.0397152i | ||||
\(286\) | −2.69928 | −0.159612 | ||||||||
\(287\) | −5.14300 | + | 0.906849i | −0.303582 | + | 0.0535296i | ||||
\(288\) | 2.60156 | − | 1.49395i | 0.153299 | − | 0.0880316i | ||||
\(289\) | −3.37296 | + | 1.22766i | −0.198409 | + | 0.0722150i | ||||
\(290\) | −1.72723 | − | 1.14987i | −0.101426 | − | 0.0675225i | ||||
\(291\) | −0.0207795 | + | 17.8458i | −0.00121812 | + | 1.04614i | ||||
\(292\) | −0.518047 | − | 0.299094i | −0.0303164 | − | 0.0175032i | ||||
\(293\) | 0.268843 | − | 0.155217i | 0.0157060 | − | 0.00906785i | −0.492126 | − | 0.870524i | \(-0.663780\pi\) |
0.507832 | + | 0.861456i | \(0.330447\pi\) | |||||||
\(294\) | 14.3702 | + | 24.9570i | 0.838087 | + | 1.45552i | ||||
\(295\) | −0.458719 | − | 0.200914i | −0.0267076 | − | 0.0116976i | ||||
\(296\) | −7.54719 | + | 4.35737i | −0.438671 | + | 0.253267i | ||||
\(297\) | −2.80189 | − | 0.00978750i | −0.162582 | − | 0.000567928i | ||||
\(298\) | −4.70544 | − | 3.94833i | −0.272579 | − | 0.228721i | ||||
\(299\) | −18.8978 | − | 6.87823i | −1.09289 | − | 0.397778i | ||||
\(300\) | −4.66940 | − | 7.29361i | −0.269588 | − | 0.421097i | ||||
\(301\) | 45.0970 | − | 37.8409i | 2.59935 | − | 2.18111i | ||||
\(302\) | −2.43460 | − | 13.8073i | −0.140095 | − | 0.794520i | ||||
\(303\) | 14.0275 | − | 11.7427i | 0.805859 | − | 0.674599i | ||||
\(304\) | 4.31038 | + | 0.648539i | 0.247217 | + | 0.0371962i | ||||
\(305\) | −1.33681 | + | 5.50350i | −0.0765458 | + | 0.315130i | ||||
\(306\) | 0.0317008 | − | 13.6126i | 0.00181222 | − | 0.778183i | ||||
\(307\) | 11.1256 | − | 9.33548i | 0.634971 | − | 0.532804i | −0.267498 | − | 0.963558i | \(-0.586197\pi\) |
0.902469 | + | 0.430755i | \(0.141753\pi\) | |||||||
\(308\) | 2.46298 | − | 0.896450i | 0.140341 | − | 0.0510800i | ||||
\(309\) | −0.700518 | − | 1.93165i | −0.0398510 | − | 0.109888i | ||||
\(310\) | 10.3221 | − | 7.59538i | 0.586253 | − | 0.431389i | ||||
\(311\) | −17.3043 | − | 9.99063i | −0.981236 | − | 0.566517i | −0.0785927 | − | 0.996907i | \(-0.525043\pi\) |
−0.902643 | + | 0.430390i | \(0.858376\pi\) | |||||||
\(312\) | 8.14400 | + | 2.97492i | 0.461063 | + | 0.168422i | ||||
\(313\) | 26.9946 | + | 4.75988i | 1.52583 | + | 0.269044i | 0.872720 | − | 0.488221i | \(-0.162354\pi\) |
0.653107 | + | 0.757266i | \(0.273465\pi\) | |||||||
\(314\) | 0.759285 | − | 4.30612i | 0.0428489 | − | 0.243008i | ||||
\(315\) | −32.4153 | + | 3.52927i | −1.82640 | + | 0.198852i | ||||
\(316\) | −4.43331 | − | 2.55957i | −0.249393 | − | 0.143987i | ||||
\(317\) | 8.51418 | − | 10.1468i | 0.478204 | − | 0.569901i | −0.471973 | − | 0.881613i | \(-0.656458\pi\) |
0.950177 | + | 0.311712i | \(0.100902\pi\) | |||||||
\(318\) | −5.69321 | − | 15.6988i | −0.319259 | − | 0.880346i | ||||
\(319\) | 0.171140 | + | 0.470202i | 0.00958198 | + | 0.0263263i | ||||
\(320\) | −0.992386 | − | 2.00379i | −0.0554760 | − | 0.112015i | ||||
\(321\) | −7.13445 | − | 6.00069i | −0.398206 | − | 0.334926i | ||||
\(322\) | 19.5277 | 1.08824 | ||||||||
\(323\) | 12.3278 | − | 15.4669i | 0.685939 | − | 0.860599i | ||||
\(324\) | 8.44281 | + | 3.11754i | 0.469045 | + | 0.173197i | ||||
\(325\) | 7.44544 | − | 23.8961i | 0.412999 | − | 1.32552i | ||||
\(326\) | 2.36651 | − | 1.98573i | 0.131069 | − | 0.109980i | ||||
\(327\) | 6.53343 | − | 11.2859i | 0.361300 | − | 0.624110i | ||||
\(328\) | 0.367463 | − | 1.00960i | 0.0202898 | − | 0.0557457i | ||||
\(329\) | 31.4372 | − | 37.4654i | 1.73319 | − | 2.06553i | ||||
\(330\) | −0.135483 | + | 2.08402i | −0.00745809 | + | 0.114721i | ||||
\(331\) | −2.64266 | + | 1.52574i | −0.145254 | + | 0.0838622i | −0.570865 | − | 0.821044i | \(-0.693392\pi\) |
0.425612 | + | 0.904906i | \(0.360059\pi\) | |||||||
\(332\) | 1.35107 | − | 7.66232i | 0.0741498 | − | 0.420524i | ||||
\(333\) | −24.5466 | − | 8.99904i | −1.34515 | − | 0.493144i | ||||
\(334\) | −8.53002 | − | 14.7744i | −0.466742 | − | 0.808421i | ||||
\(335\) | 8.17295 | + | 7.79739i | 0.446536 | + | 0.426017i | ||||
\(336\) | −8.41905 | − | 0.00980305i | −0.459297 | − | 0.000534800i | ||||
\(337\) | 19.9154 | + | 7.24861i | 1.08486 | + | 0.394857i | 0.821715 | − | 0.569899i | \(-0.193018\pi\) |
0.263146 | + | 0.964756i | \(0.415240\pi\) | |||||||
\(338\) | 4.12419 | + | 11.3311i | 0.224326 | + | 0.616331i | ||||
\(339\) | −2.44058 | + | 13.7476i | −0.132554 | + | 0.746666i | ||||
\(340\) | −10.1257 | − | 0.646435i | −0.549142 | − | 0.0350579i | ||||
\(341\) | −3.09043 | −0.167356 | ||||||||
\(342\) | 6.79555 | + | 11.1723i | 0.367461 | + | 0.604129i | ||||
\(343\) | − | 46.7935i | − | 2.52661i | ||||||
\(344\) | 2.10311 | + | 11.9273i | 0.113392 | + | 0.643078i | ||||
\(345\) | −6.25897 | + | 14.2451i | −0.336971 | + | 0.766930i | ||||
\(346\) | 4.91350 | − | 1.78837i | 0.264152 | − | 0.0961433i | ||||
\(347\) | −28.5211 | − | 10.3808i | −1.53109 | − | 0.557272i | −0.567204 | − | 0.823578i | \(-0.691975\pi\) |
−0.963889 | + | 0.266305i | \(0.914197\pi\) | |||||||
\(348\) | 0.00187148 | − | 1.60726i | 0.000100322 | − | 0.0861584i | ||||
\(349\) | 5.84357 | − | 10.1214i | 0.312799 | − | 0.541784i | −0.666168 | − | 0.745802i | \(-0.732067\pi\) |
0.978967 | + | 0.204018i | \(0.0654001\pi\) | |||||||
\(350\) | 1.14242 | + | 24.2769i | 0.0610652 | + | 1.29765i | ||||
\(351\) | 8.81087 | + | 24.4733i | 0.470289 | + | 1.30629i | ||||
\(352\) | −0.0936358 | + | 0.531035i | −0.00499080 | + | 0.0283043i | ||||
\(353\) | 12.4926 | + | 21.6378i | 0.664913 | + | 1.15166i | 0.979309 | + | 0.202371i | \(0.0648645\pi\) |
−0.314396 | + | 0.949292i | \(0.601802\pi\) | |||||||
\(354\) | −0.0669148 | − | 0.382094i | −0.00355648 | − | 0.0203081i | ||||
\(355\) | 6.86767 | − | 5.05351i | 0.364498 | − | 0.268212i | ||||
\(356\) | −3.73474 | − | 1.35934i | −0.197941 | − | 0.0720447i | ||||
\(357\) | −19.1395 | + | 33.0616i | −1.01297 | + | 1.74980i | ||||
\(358\) | 13.6760 | + | 16.2985i | 0.722801 | + | 0.861401i | ||||
\(359\) | 5.72944 | − | 1.01026i | 0.302388 | − | 0.0533192i | −0.0203953 | − | 0.999792i | \(-0.506492\pi\) |
0.322784 | + | 0.946473i | \(0.395381\pi\) | |||||||
\(360\) | 2.70560 | − | 6.13838i | 0.142597 | − | 0.323521i | ||||
\(361\) | −2.35272 | + | 18.8538i | −0.123827 | + | 0.992304i | ||||
\(362\) | −2.74500 | −0.144274 | ||||||||
\(363\) | −11.9396 | + | 14.1954i | −0.626665 | + | 0.745066i | ||||
\(364\) | −15.6403 | − | 18.6394i | −0.819777 | − | 0.976972i | ||||
\(365\) | −1.32939 | + | 0.147873i | −0.0695836 | + | 0.00774003i | ||||
\(366\) | −4.12413 | + | 1.49563i | −0.215572 | + | 0.0781776i | ||||
\(367\) | 14.1622 | − | 16.8778i | 0.739259 | − | 0.881014i | −0.257090 | − | 0.966387i | \(-0.582764\pi\) |
0.996349 | + | 0.0853731i | \(0.0272082\pi\) | |||||||
\(368\) | −2.00872 | + | 3.47920i | −0.104712 | + | 0.181366i | ||||
\(369\) | 3.03135 | − | 1.09533i | 0.157806 | − | 0.0570208i | ||||
\(370\) | −7.81798 | + | 17.8497i | −0.406437 | + | 0.927963i | ||||
\(371\) | −8.13785 | + | 46.1521i | −0.422496 | + | 2.39610i | ||||
\(372\) | 9.32415 | + | 3.40602i | 0.483435 | + | 0.176594i | ||||
\(373\) | −5.96781 | + | 10.3366i | −0.309002 | + | 0.535207i | −0.978144 | − | 0.207927i | \(-0.933328\pi\) |
0.669143 | + | 0.743134i | \(0.266662\pi\) | |||||||
\(374\) | 1.87434 | + | 1.57276i | 0.0969197 | + | 0.0813253i | ||||
\(375\) | −18.0756 | − | 6.94776i | −0.933422 | − | 0.358781i | ||||
\(376\) | 3.44132 | + | 9.45496i | 0.177473 | + | 0.487602i | ||||
\(377\) | 3.55842 | − | 2.98587i | 0.183268 | − | 0.153780i | ||||
\(378\) | −16.1673 | − | 19.4047i | −0.831557 | − | 0.998070i | ||||
\(379\) | 5.88480i | 0.302282i | 0.988512 | + | 0.151141i | \(0.0482947\pi\) | ||||
−0.988512 | + | 0.151141i | \(0.951705\pi\) | |||||||
\(380\) | 8.62257 | − | 4.54436i | 0.442329 | − | 0.233121i | ||||
\(381\) | −9.22821 | − | 11.0238i | −0.472776 | − | 0.564766i | ||||
\(382\) | −0.625110 | − | 3.54518i | −0.0319834 | − | 0.181387i | ||||
\(383\) | 21.5007 | + | 25.6235i | 1.09863 | + | 1.30930i | 0.947133 | + | 0.320841i | \(0.103966\pi\) |
0.151499 | + | 0.988457i | \(0.451590\pi\) | |||||||
\(384\) | 0.867771 | − | 1.49899i | 0.0442833 | − | 0.0764950i | ||||
\(385\) | 3.24784 | − | 4.87862i | 0.165525 | − | 0.248637i | ||||
\(386\) | 12.9880 | − | 15.4785i | 0.661071 | − | 0.787834i | ||||
\(387\) | −23.4198 | + | 27.7790i | −1.19049 | + | 1.41208i | ||||
\(388\) | 5.15165 | + | 8.92293i | 0.261536 | + | 0.452993i | ||||
\(389\) | −23.6912 | − | 4.17740i | −1.20119 | − | 0.211803i | −0.462978 | − | 0.886370i | \(-0.653219\pi\) |
−0.738214 | + | 0.674567i | \(0.764330\pi\) | |||||||
\(390\) | 18.6101 | − | 5.43506i | 0.942358 | − | 0.275215i | ||||
\(391\) | 9.11468 | + | 15.7871i | 0.460949 | + | 0.798387i | ||||
\(392\) | 14.3993 | + | 8.31341i | 0.727272 | + | 0.419891i | ||||
\(393\) | −16.8193 | − | 0.0195842i | −0.848420 | − | 0.000987890i | ||||
\(394\) | 0.506418 | − | 1.39137i | 0.0255129 | − | 0.0700962i | ||||
\(395\) | −11.3766 | + | 1.26546i | −0.572418 | + | 0.0636721i | ||||
\(396\) | −1.40283 | + | 0.805576i | −0.0704950 | + | 0.0404817i | ||||
\(397\) | 12.6978 | − | 2.23897i | 0.637285 | − | 0.112370i | 0.154335 | − | 0.988019i | \(-0.450677\pi\) |
0.482950 | + | 0.875648i | \(0.339565\pi\) | |||||||
\(398\) | 10.7803i | 0.540370i | ||||||||
\(399\) | −0.881730 | − | 36.6872i | −0.0441417 | − | 1.83666i | ||||
\(400\) | −4.44286 | − | 2.29369i | −0.222143 | − | 0.114685i | ||||
\(401\) | 0.169356 | + | 0.960468i | 0.00845726 | + | 0.0479635i | 0.988744 | − | 0.149615i | \(-0.0478034\pi\) |
−0.980287 | + | 0.197578i | \(0.936692\pi\) | |||||||
\(402\) | −1.52941 | + | 8.61503i | −0.0762799 | + | 0.429679i | ||||
\(403\) | 9.81240 | + | 26.9593i | 0.488790 | + | 1.34294i | ||||
\(404\) | 3.61238 | − | 9.92494i | 0.179723 | − | 0.493784i | ||||
\(405\) | 19.3372 | − | 5.57419i | 0.960875 | − | 0.276984i | ||||
\(406\) | −2.25528 | + | 3.90625i | −0.111927 | + | 0.193864i | ||||
\(407\) | 4.06965 | − | 2.34961i | 0.201725 | − | 0.116466i | ||||
\(408\) | −3.92171 | − | 6.81091i | −0.194154 | − | 0.337190i | ||||
\(409\) | −25.6614 | − | 4.52480i | −1.26888 | − | 0.223737i | −0.501626 | − | 0.865085i | \(-0.667264\pi\) |
−0.767250 | + | 0.641348i | \(0.778376\pi\) | |||||||
\(410\) | −0.676173 | − | 2.30529i | −0.0333938 | − | 0.113850i | ||||
\(411\) | 28.4064 | − | 4.97471i | 1.40118 | − | 0.245384i | ||||
\(412\) | −0.908767 | − | 0.762546i | −0.0447717 | − | 0.0375679i | ||||
\(413\) | −0.372326 | + | 1.02296i | −0.0183210 | + | 0.0503365i | ||||
\(414\) | −11.8741 | + | 2.06522i | −0.583578 | + | 0.101500i | ||||
\(415\) | −7.72128 | − | 15.5905i | −0.379023 | − | 0.765309i | ||||
\(416\) | 4.92978 | − | 0.869253i | 0.241702 | − | 0.0426186i | ||||
\(417\) | 8.18116 | + | 9.77302i | 0.400633 | + | 0.478587i | ||||
\(418\) | −2.32428 | − | 0.349710i | −0.113684 | − | 0.0171049i | ||||
\(419\) | 9.76360i | 0.476983i | 0.971145 | + | 0.238491i | \(0.0766529\pi\) | ||||
−0.971145 | + | 0.238491i | \(0.923347\pi\) | |||||||
\(420\) | −15.1759 | + | 11.1398i | −0.740507 | + | 0.543567i | ||||
\(421\) | 7.60520 | + | 9.06353i | 0.370655 | + | 0.441729i | 0.918842 | − | 0.394627i | \(-0.129126\pi\) |
−0.548187 | + | 0.836356i | \(0.684682\pi\) | |||||||
\(422\) | −9.32888 | + | 3.39543i | −0.454123 | + | 0.165287i | ||||
\(423\) | −15.1535 | + | 26.1060i | −0.736787 | + | 1.26932i | ||||
\(424\) | −7.38569 | − | 6.19733i | −0.358681 | − | 0.300969i | ||||
\(425\) | −19.0932 | + | 12.2549i | −0.926158 | + | 0.594452i | ||||
\(426\) | 6.20373 | + | 2.26616i | 0.300572 | + | 0.109796i | ||||
\(427\) | 12.1243 | + | 2.13784i | 0.586736 | + | 0.103457i | ||||
\(428\) | −5.30057 | − | 0.934633i | −0.256213 | − | 0.0451772i | ||||
\(429\) | −4.39147 | − | 1.60416i | −0.212022 | − | 0.0774494i | ||||
\(430\) | 19.5946 | + | 18.6942i | 0.944935 | + | 0.901514i | ||||
\(431\) | 12.0700 | + | 10.1280i | 0.581394 | + | 0.487847i | 0.885405 | − | 0.464821i | \(-0.153881\pi\) |
−0.304011 | + | 0.952669i | \(0.598326\pi\) | |||||||
\(432\) | 5.12033 | − | 0.884422i | 0.246352 | − | 0.0425518i | ||||
\(433\) | −4.70348 | + | 1.71193i | −0.226035 | + | 0.0822700i | −0.452555 | − | 0.891737i | \(-0.649487\pi\) |
0.226520 | + | 0.974007i | \(0.427265\pi\) | |||||||
\(434\) | −17.9068 | − | 21.3405i | −0.859553 | − | 1.02438i | ||||
\(435\) | −2.12668 | − | 2.89720i | −0.101966 | − | 0.138910i | ||||
\(436\) | − | 7.52898i | − | 0.360573i | ||||||
\(437\) | −15.3812 | − | 8.37099i | −0.735785 | − | 0.400439i | ||||
\(438\) | −0.665063 | − | 0.794469i | −0.0317780 | − | 0.0379612i | ||||
\(439\) | 5.31334 | − | 0.936885i | 0.253592 | − | 0.0447151i | −0.0454070 | − | 0.998969i | \(-0.514458\pi\) |
0.298999 | + | 0.954254i | \(0.403347\pi\) | |||||||
\(440\) | 0.535121 | + | 1.08050i | 0.0255109 | + | 0.0515107i | ||||
\(441\) | 8.54723 | + | 49.1427i | 0.407011 | + | 2.34013i | ||||
\(442\) | 7.76873 | − | 21.3444i | 0.369521 | − | 1.01525i | ||||
\(443\) | −12.2783 | − | 10.3027i | −0.583361 | − | 0.489498i | 0.302688 | − | 0.953090i | \(-0.402116\pi\) |
−0.886049 | + | 0.463592i | \(0.846561\pi\) | |||||||
\(444\) | −14.8681 | + | 2.60380i | −0.705609 | + | 0.123571i | ||||
\(445\) | −8.52783 | + | 2.50133i | −0.404258 | + | 0.118574i | ||||
\(446\) | −14.9148 | − | 2.62988i | −0.706236 | − | 0.124528i | ||||
\(447\) | −5.30884 | − | 9.21995i | −0.251099 | − | 0.436089i | ||||
\(448\) | −4.20953 | + | 2.43037i | −0.198881 | + | 0.114824i | ||||
\(449\) | 18.7328 | − | 32.4461i | 0.884055 | − | 1.53123i | 0.0372619 | − | 0.999306i | \(-0.488136\pi\) |
0.846793 | − | 0.531923i | \(-0.178530\pi\) | |||||||
\(450\) | −3.26214 | − | 14.6410i | −0.153779 | − | 0.690183i | ||||
\(451\) | −0.198146 | + | 0.544402i | −0.00933034 | + | 0.0256349i | ||||
\(452\) | 2.75712 | + | 7.57512i | 0.129684 | + | 0.356304i | ||||
\(453\) | 4.24469 | − | 23.9100i | 0.199433 | − | 1.12339i | ||||
\(454\) | −3.64616 | − | 20.6784i | −0.171123 | − | 0.970485i | ||||
\(455\) | −52.8707 | − | 12.8424i | −2.47862 | − | 0.602063i | ||||
\(456\) | 6.62716 | + | 3.61673i | 0.310345 | + | 0.169369i | ||||
\(457\) | 35.8059i | 1.67493i | 0.546490 | + | 0.837465i | \(0.315964\pi\) | ||||
−0.546490 | + | 0.837465i | \(0.684036\pi\) | |||||||
\(458\) | −24.4570 | + | 4.31243i | −1.14280 | + | 0.201507i | ||||
\(459\) | 8.14144 | − | 22.1276i | 0.380010 | − | 1.03283i | ||||
\(460\) | 0.993116 | + | 8.92820i | 0.0463043 | + | 0.416279i | ||||
\(461\) | −6.07727 | + | 16.6971i | −0.283046 | + | 0.777664i | 0.713949 | + | 0.700198i | \(0.246905\pi\) |
−0.996995 | + | 0.0774656i | \(0.975317\pi\) | |||||||
\(462\) | 4.53978 | + | 0.00528607i | 0.211210 | + | 0.000245930i | ||||
\(463\) | 2.84031 | + | 1.63985i | 0.132000 | + | 0.0762104i | 0.564546 | − | 0.825402i | \(-0.309051\pi\) |
−0.432546 | + | 0.901612i | \(0.642385\pi\) | |||||||
\(464\) | −0.463978 | − | 0.803633i | −0.0215396 | − | 0.0373077i | ||||
\(465\) | 21.3069 | − | 6.22266i | 0.988082 | − | 0.288569i | ||||
\(466\) | −28.5094 | − | 5.02697i | −1.32067 | − | 0.232870i | ||||
\(467\) | −0.909499 | − | 1.57530i | −0.0420866 | − | 0.0728961i | 0.844215 | − | 0.536005i | \(-0.180067\pi\) |
−0.886301 | + | 0.463109i | \(0.846734\pi\) | |||||||
\(468\) | 11.4816 | + | 9.67982i | 0.530735 | + | 0.447450i | ||||
\(469\) | 15.7835 | − | 18.8101i | 0.728816 | − | 0.868569i | ||||
\(470\) | 18.7282 | + | 12.4679i | 0.863867 | + | 0.575102i | ||||
\(471\) | 3.79437 | − | 6.55441i | 0.174836 | − | 0.302011i | ||||
\(472\) | −0.143958 | − | 0.171563i | −0.00662622 | − | 0.00789682i | ||||
\(473\) | −1.13405 | − | 6.43153i | −0.0521438 | − | 0.295722i | ||||
\(474\) | −5.69144 | − | 6.79885i | −0.261416 | − | 0.312282i | ||||
\(475\) | 9.50696 | − | 19.6117i | 0.436209 | − | 0.899845i | ||||
\(476\) | 22.0559i | 1.01093i | ||||||||
\(477\) | 0.0673574 | − | 28.9239i | 0.00308409 | − | 1.32433i | ||||
\(478\) | 19.0600 | − | 15.9932i | 0.871784 | − | 0.731513i | ||||
\(479\) | 9.59031 | + | 26.3492i | 0.438192 | + | 1.20392i | 0.940667 | + | 0.339332i | \(0.110201\pi\) |
−0.502474 | + | 0.864592i | \(0.667577\pi\) | |||||||
\(480\) | −0.423683 | − | 3.84974i | −0.0193384 | − | 0.175716i | ||||
\(481\) | −33.4183 | − | 28.0413i | −1.52374 | − | 1.27857i | ||||
\(482\) | 1.31925 | − | 2.28500i | 0.0600901 | − | 0.104079i | ||||
\(483\) | 31.7698 | + | 11.6052i | 1.44557 | + | 0.528053i | ||||
\(484\) | −1.85964 | + | 10.5465i | −0.0845290 | + | 0.479388i | ||||
\(485\) | 21.1035 | + | 9.24308i | 0.958259 | + | 0.419707i | ||||
\(486\) | 11.8829 | + | 10.0894i | 0.539020 | + | 0.457665i | ||||
\(487\) | 2.70410 | − | 4.68364i | 0.122534 | − | 0.212236i | −0.798232 | − | 0.602350i | \(-0.794231\pi\) |
0.920766 | + | 0.390114i | \(0.127564\pi\) | |||||||
\(488\) | −1.62806 | + | 1.94024i | −0.0736987 | + | 0.0878307i | ||||
\(489\) | 5.03018 | − | 1.82421i | 0.227473 | − | 0.0824935i | ||||
\(490\) | 36.9508 | − | 4.11017i | 1.66927 | − | 0.185679i | ||||
\(491\) | 0.972454 | + | 1.15893i | 0.0438862 | + | 0.0523016i | 0.787541 | − | 0.616262i | \(-0.211354\pi\) |
−0.743655 | + | 0.668564i | \(0.766909\pi\) | |||||||
\(492\) | 1.19782 | − | 1.42414i | 0.0540020 | − | 0.0642051i | ||||
\(493\) | −4.21065 | −0.189638 | ||||||||
\(494\) | 4.32909 | + | 21.3861i | 0.194775 | + | 0.962208i | ||||
\(495\) | −1.45893 | + | 3.30998i | −0.0655741 | + | 0.148773i | ||||
\(496\) | 5.64415 | − | 0.995217i | 0.253430 | − | 0.0446865i | ||||
\(497\) | −11.9141 | − | 14.1987i | −0.534420 | − | 0.636897i | ||||
\(498\) | 6.75171 | − | 11.6629i | 0.302552 | − | 0.522628i | ||||
\(499\) | −23.4835 | − | 8.54730i | −1.05127 | − | 0.382630i | −0.242126 | − | 0.970245i | \(-0.577845\pi\) |
−0.809140 | + | 0.587615i | \(0.800067\pi\) | |||||||
\(500\) | −11.0414 | + | 1.75696i | −0.493788 | + | 0.0785738i | ||||
\(501\) | −5.09722 | − | 29.1059i | −0.227727 | − | 1.30036i | ||||
\(502\) | −11.8211 | − | 20.4748i | −0.527603 | − | 0.913835i | ||||
\(503\) | 1.52911 | − | 8.67202i | 0.0681797 | − | 0.386666i | −0.931554 | − | 0.363602i | \(-0.881547\pi\) |
0.999734 | − | 0.0230641i | \(-0.00734218\pi\) | |||||||
\(504\) | −13.6912 | − | 5.01931i | −0.609853 | − | 0.223578i | ||||
\(505\) | −6.64718 | − | 22.6624i | −0.295796 | − | 1.00846i | ||||
\(506\) | 1.08316 | − | 1.87608i | 0.0481521 | − | 0.0834020i | ||||
\(507\) | −0.0243190 | + | 20.8856i | −0.00108004 | + | 0.927562i | ||||
\(508\) | −7.79971 | − | 2.83886i | −0.346056 | − | 0.125954i | ||||
\(509\) | 1.51623 | − | 0.551862i | 0.0672056 | − | 0.0244609i | −0.308199 | − | 0.951322i | \(-0.599726\pi\) |
0.375404 | + | 0.926861i | \(0.377504\pi\) | |||||||
\(510\) | −16.0893 | − | 7.06928i | −0.712448 | − | 0.313033i | ||||
\(511\) | 0.504907 | + | 2.86347i | 0.0223358 | + | 0.126672i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 4.41612 | + | 22.2148i | 0.194976 | + | 0.980808i | ||||
\(514\) | 23.1491 | 1.02106 | ||||||||
\(515\) | −2.64728 | − | 0.169006i | −0.116653 | − | 0.00744729i | ||||
\(516\) | −3.66674 | + | 20.6545i | −0.161419 | + | 0.909262i | ||||
\(517\) | −1.85565 | − | 5.09837i | −0.0816116 | − | 0.224226i | ||||
\(518\) | 39.8055 | + | 14.4880i | 1.74895 | + | 0.636567i | ||||
\(519\) | 9.05661 | + | 0.0105454i | 0.397541 | + | 0.000462892i | ||||
\(520\) | 7.72665 | − | 8.09880i | 0.338836 | − | 0.355156i | ||||
\(521\) | 6.81796 | + | 11.8091i | 0.298700 | + | 0.517364i | 0.975839 | − | 0.218491i | \(-0.0701136\pi\) |
−0.677139 | + | 0.735855i | \(0.736780\pi\) | |||||||
\(522\) | 0.958228 | − | 2.61375i | 0.0419405 | − | 0.114401i | ||||
\(523\) | −0.760544 | + | 4.31326i | −0.0332563 | + | 0.188606i | −0.996910 | − | 0.0785474i | \(-0.974972\pi\) |
0.963654 | + | 0.267153i | \(0.0860829\pi\) | |||||||
\(524\) | −8.40964 | + | 4.85531i | −0.367377 | + | 0.212105i | ||||
\(525\) | −12.5689 | + | 40.1751i | −0.548552 | + | 1.75338i | ||||
\(526\) | −14.6751 | + | 17.4891i | −0.639863 | + | 0.762559i | ||||
\(527\) | 8.89449 | − | 24.4374i | 0.387450 | − | 1.06451i | ||||
\(528\) | −0.467926 | + | 0.808296i | −0.0203639 | + | 0.0351766i | ||||
\(529\) | −5.25521 | + | 4.40965i | −0.228488 | + | 0.191724i | ||||
\(530\) | −21.5149 | − | 1.37354i | −0.934546 | − | 0.0596626i | ||||
\(531\) | 0.118211 | − | 0.661397i | 0.00512992 | − | 0.0287022i | ||||
\(532\) | −11.0526 | − | 18.0762i | −0.479191 | − | 0.783703i | ||||
\(533\) | 5.37822 | 0.232956 | ||||||||
\(534\) | −5.26823 | − | 4.43103i | −0.227979 | − | 0.191750i | ||||
\(535\) | −10.7851 | + | 5.34135i | −0.466279 | + | 0.230927i | ||||
\(536\) | 1.72777 | + | 4.74701i | 0.0746283 | + | 0.205040i | ||||
\(537\) | 12.5636 | + | 34.6436i | 0.542158 | + | 1.49498i | ||||
\(538\) | −12.8044 | + | 15.2597i | −0.552038 | + | 0.657893i | ||||
\(539\) | −7.76447 | − | 4.48282i | −0.334439 | − | 0.193089i | ||||
\(540\) | 8.04973 | − | 8.37865i | 0.346405 | − | 0.360560i | ||||
\(541\) | −3.78990 | + | 21.4936i | −0.162941 | + | 0.924082i | 0.788222 | + | 0.615391i | \(0.211002\pi\) |
−0.951162 | + | 0.308691i | \(0.900109\pi\) | |||||||
\(542\) | −4.64807 | − | 0.819580i | −0.199652 | − | 0.0352040i | ||||
\(543\) | −4.46585 | − | 1.63133i | −0.191648 | − | 0.0700069i | ||||
\(544\) | −3.92964 | − | 2.26878i | −0.168482 | − | 0.0972731i | ||||
\(545\) | −9.97788 | − | 13.5599i | −0.427406 | − | 0.580840i | ||||
\(546\) | −14.3681 | − | 39.6195i | −0.614898 | − | 1.69556i | ||||
\(547\) | −4.51375 | + | 1.64287i | −0.192994 | + | 0.0702440i | −0.436709 | − | 0.899603i | \(-0.643856\pi\) |
0.243715 | + | 0.969847i | \(0.421634\pi\) | |||||||
\(548\) | 12.7546 | − | 10.7024i | 0.544852 | − | 0.457185i | ||||
\(549\) | −7.59841 | − | 0.0176950i | −0.324292 | − | 0.000755205i | ||||
\(550\) | 2.39571 | + | 1.23682i | 0.102153 | + | 0.0527383i | ||||
\(551\) | 3.45090 | − | 2.11003i | 0.147013 | − | 0.0898904i | ||||
\(552\) | −5.33565 | + | 4.46657i | −0.227100 | + | 0.190110i | ||||
\(553\) | 4.32086 | + | 24.5048i | 0.183742 | + | 1.04205i | ||||
\(554\) | 10.1797 | − | 8.54178i | 0.432494 | − | 0.362905i | ||||
\(555\) | −23.3270 | + | 24.3937i | −0.990178 | + | 1.03545i | ||||
\(556\) | 6.91475 | + | 2.51676i | 0.293251 | + | 0.106734i | ||||
\(557\) | 18.9752 | + | 15.9220i | 0.804003 | + | 0.674639i | 0.949168 | − | 0.314769i | \(-0.101927\pi\) |
−0.145165 | + | 0.989407i | \(0.546371\pi\) | |||||||
\(558\) | 13.1453 | + | 11.0825i | 0.556487 | + | 0.469161i | ||||
\(559\) | −52.5047 | + | 30.3136i | −2.22071 | + | 1.28213i | ||||
\(560\) | −4.36056 | + | 9.95588i | −0.184267 | + | 0.420713i | ||||
\(561\) | 2.11469 | + | 3.67263i | 0.0892824 | + | 0.155058i | ||||
\(562\) | 1.06665 | − | 0.615832i | 0.0449940 | − | 0.0259773i | ||||
\(563\) | −25.6777 | − | 14.8250i | −1.08219 | − | 0.624800i | −0.150700 | − | 0.988579i | \(-0.548153\pi\) |
−0.931485 | + | 0.363779i | \(0.881486\pi\) | |||||||
\(564\) | −0.0202923 | + | 17.4275i | −0.000854461 | + | 0.733828i | ||||
\(565\) | 15.0047 | + | 9.98904i | 0.631251 | + | 0.420242i | ||||
\(566\) | 2.79375 | − | 1.01684i | 0.117430 | − | 0.0427410i | ||||
\(567\) | −14.7706 | − | 41.1777i | −0.620308 | − | 1.72930i | ||||
\(568\) | 3.75528 | − | 0.662157i | 0.157568 | − | 0.0277835i | ||||
\(569\) | −27.0667 | −1.13469 | −0.567347 | − | 0.823479i | \(-0.692030\pi\) | ||||
−0.567347 | + | 0.823479i | \(0.692030\pi\) | |||||||
\(570\) | 16.7288 | − | 2.26892i | 0.700691 | − | 0.0950347i | ||||
\(571\) | −15.1156 | −0.632567 | −0.316284 | − | 0.948665i | \(-0.602435\pi\) | ||||
−0.316284 | + | 0.948665i | \(0.602435\pi\) | |||||||
\(572\) | −2.65827 | + | 0.468725i | −0.111148 | + | 0.0195984i | ||||
\(573\) | 1.08987 | − | 6.13916i | 0.0455301 | − | 0.256467i | ||||
\(574\) | −4.90739 | + | 1.78614i | −0.204831 | + | 0.0745522i | ||||
\(575\) | 13.6208 | + | 14.7637i | 0.568028 | + | 0.615690i | ||||
\(576\) | 2.30262 | − | 1.92301i | 0.0959424 | − | 0.0801252i | ||||
\(577\) | −17.8586 | − | 10.3107i | −0.743465 | − | 0.429240i | 0.0798627 | − | 0.996806i | \(-0.474552\pi\) |
−0.823328 | + | 0.567566i | \(0.807885\pi\) | |||||||
\(578\) | −3.10853 | + | 1.79471i | −0.129298 | + | 0.0746502i | ||||
\(579\) | 30.3289 | − | 17.4634i | 1.26043 | − | 0.725753i | ||||
\(580\) | −1.90066 | − | 0.832467i | −0.0789206 | − | 0.0345663i | ||||
\(581\) | −32.7523 | + | 18.9096i | −1.35880 | + | 0.784501i | ||||
\(582\) | 3.07843 | + | 17.5783i | 0.127605 | + | 0.728645i | ||||
\(583\) | 3.98256 | + | 3.34177i | 0.164941 | + | 0.138402i | ||||
\(584\) | −0.562114 | − | 0.204593i | −0.0232604 | − | 0.00846610i | ||||
\(585\) | 33.5068 | + | 2.21748i | 1.38534 | + | 0.0916814i | ||||
\(586\) | 0.237806 | − | 0.199543i | 0.00982366 | − | 0.00824303i | ||||
\(587\) | 2.82242 | + | 16.0067i | 0.116494 | + | 0.660668i | 0.986000 | + | 0.166746i | \(0.0533261\pi\) |
−0.869506 | + | 0.493922i | \(0.835563\pi\) | |||||||
\(588\) | 18.4856 | + | 22.0825i | 0.762334 | + | 0.910666i | ||||
\(589\) | 4.95642 | + | 24.4852i | 0.204226 | + | 1.00890i | ||||
\(590\) | −0.486638 | − | 0.118206i | −0.0200346 | − | 0.00486645i | ||||
\(591\) | 1.65077 | − | 1.96267i | 0.0679037 | − | 0.0807334i | ||||
\(592\) | −6.67588 | + | 5.60173i | −0.274377 | + | 0.230230i | ||||
\(593\) | −23.4379 | + | 8.53068i | −0.962477 | + | 0.350313i | −0.775004 | − | 0.631957i | \(-0.782252\pi\) |
−0.187474 | + | 0.982270i | \(0.560030\pi\) | |||||||
\(594\) | −2.76102 | + | 0.476904i | −0.113286 | + | 0.0195676i | ||||
\(595\) | 29.2299 | + | 39.7231i | 1.19831 | + | 1.62849i | ||||
\(596\) | −5.31957 | − | 3.07125i | −0.217898 | − | 0.125804i | ||||
\(597\) | −6.40666 | + | 17.5386i | −0.262207 | + | 0.717807i | ||||
\(598\) | −19.8051 | − | 3.49217i | −0.809890 | − | 0.142805i | ||||
\(599\) | −1.40992 | + | 7.99608i | −0.0576080 | + | 0.326711i | −0.999969 | − | 0.00788708i | \(-0.997489\pi\) |
0.942361 | + | 0.334598i | \(0.108601\pi\) | |||||||
\(600\) | −5.86498 | − | 6.37197i | −0.239437 | − | 0.260135i | ||||
\(601\) | −13.7278 | − | 7.92576i | −0.559969 | − | 0.323299i | 0.193164 | − | 0.981167i | \(-0.438125\pi\) |
−0.753133 | + | 0.657868i | \(0.771458\pi\) | |||||||
\(602\) | 37.8409 | − | 45.0970i | 1.54228 | − | 1.83802i | ||||
\(603\) | −7.60803 | + | 13.1069i | −0.309823 | + | 0.533755i | ||||
\(604\) | −4.79522 | − | 13.1748i | −0.195115 | − | 0.536073i | ||||
\(605\) | 10.6277 | + | 21.4590i | 0.432077 | + | 0.872434i | ||||
\(606\) | 11.7753 | − | 14.0001i | 0.478339 | − | 0.568716i | ||||
\(607\) | −26.7979 | −1.08769 | −0.543847 | − | 0.839184i | \(-0.683033\pi\) | ||||
−0.543847 | + | 0.839184i | \(0.683033\pi\) | |||||||
\(608\) | 4.35752 | − | 0.109804i | 0.176721 | − | 0.00445315i | ||||
\(609\) | −5.99057 | + | 5.01481i | −0.242750 | + | 0.203210i | ||||
\(610\) | −0.360832 | + | 5.65203i | −0.0146097 | + | 0.228844i | ||||
\(611\) | −38.5837 | + | 32.3755i | −1.56093 | + | 1.30977i | ||||
\(612\) | −2.33259 | − | 13.4113i | −0.0942894 | − | 0.542121i | ||||
\(613\) | −4.39087 | + | 12.0638i | −0.177345 | + | 0.487252i | −0.996235 | − | 0.0866993i | \(-0.972368\pi\) |
0.818889 | + | 0.573952i | \(0.194590\pi\) | |||||||
\(614\) | 9.33548 | − | 11.1256i | 0.376749 | − | 0.448992i | ||||
\(615\) | 0.269945 | − | 4.15233i | 0.0108852 | − | 0.167438i | ||||
\(616\) | 2.26989 | − | 1.31052i | 0.0914565 | − | 0.0528024i | ||||
\(617\) | 3.32232 | − | 18.8418i | 0.133751 | − | 0.758542i | −0.841970 | − | 0.539525i | \(-0.818604\pi\) |
0.975721 | − | 0.219017i | \(-0.0702850\pi\) | |||||||
\(618\) | −1.02530 | − | 1.78066i | −0.0412437 | − | 0.0716287i | ||||
\(619\) | −21.2002 | − | 36.7199i | −0.852109 | − | 1.47590i | −0.879301 | − | 0.476266i | \(-0.841990\pi\) |
0.0271922 | − | 0.999630i | \(-0.491343\pi\) | |||||||
\(620\) | 8.84632 | − | 9.27240i | 0.355277 | − | 0.372388i | ||||
\(621\) | −20.5453 | − | 3.69673i | −0.824454 | − | 0.148345i | ||||
\(622\) | −18.7762 | − | 6.83399i | −0.752859 | − | 0.274018i | ||||
\(623\) | 6.60738 | + | 18.1536i | 0.264719 | + | 0.727310i | ||||
\(624\) | 8.53687 | + | 1.51553i | 0.341748 | + | 0.0606698i | ||||
\(625\) | −17.5574 | + | 17.7971i | −0.702296 | + | 0.711885i | ||||
\(626\) | 27.4111 | 1.09557 | ||||||||
\(627\) | −3.57354 | − | 1.95024i | −0.142714 | − | 0.0778851i | ||||
\(628\) | − | 4.37255i | − | 0.174484i | ||||||
\(629\) | 6.86668 | + | 38.9429i | 0.273793 | + | 1.55275i | ||||
\(630\) | −31.3100 | + | 9.10451i | −1.24742 | + | 0.362732i | ||||
\(631\) | 28.9041 | − | 10.5202i | 1.15065 | − | 0.418803i | 0.304903 | − | 0.952383i | \(-0.401376\pi\) |
0.845749 | + | 0.533580i | \(0.179154\pi\) | |||||||
\(632\) | −4.81042 | − | 1.75085i | −0.191348 | − | 0.0696451i | ||||
\(633\) | −17.1951 | − | 0.0200217i | −0.683443 | − | 0.000795793i | ||||
\(634\) | 6.62285 | − | 11.4711i | 0.263027 | − | 0.455576i | ||||
\(635\) | −17.8097 | + | 5.22382i | −0.706756 | + | 0.207301i | ||||
\(636\) | −8.33279 | − | 14.4717i | −0.330417 | − | 0.573841i | ||||
\(637\) | −14.4529 | + | 81.9666i | −0.572645 | + | 3.24763i | ||||
\(638\) | 0.250189 | + | 0.433341i | 0.00990509 | + | 0.0171561i | ||||
\(639\) | 8.74612 | + | 7.37364i | 0.345991 | + | 0.291697i | ||||
\(640\) | −1.32526 | − | 1.80102i | −0.0523856 | − | 0.0711916i | ||||
\(641\) | 20.2952 | + | 7.38683i | 0.801610 | + | 0.291762i | 0.710154 | − | 0.704047i | \(-0.248625\pi\) |
0.0914568 | + | 0.995809i | \(0.470848\pi\) | |||||||
\(642\) | −8.06807 | − | 4.67064i | −0.318421 | − | 0.184335i | ||||
\(643\) | 3.40630 | + | 4.05947i | 0.134332 | + | 0.160090i | 0.829017 | − | 0.559224i | \(-0.188901\pi\) |
−0.694685 | + | 0.719314i | \(0.744456\pi\) | |||||||
\(644\) | 19.2311 | − | 3.39096i | 0.757810 | − | 0.133622i | ||||
\(645\) | 20.7687 | + | 42.0585i | 0.817768 | + | 1.65605i | ||||
\(646\) | 9.45475 | − | 17.3726i | 0.371992 | − | 0.683515i | ||||
\(647\) | 38.0110 | 1.49437 | 0.747184 | − | 0.664618i | \(-0.231406\pi\) | ||||
0.747184 | + | 0.664618i | \(0.231406\pi\) | |||||||
\(648\) | 8.85589 | + | 1.60410i | 0.347892 | + | 0.0630149i | ||||
\(649\) | 0.0776262 | + | 0.0925113i | 0.00304710 | + | 0.00363139i | ||||
\(650\) | 3.18281 | − | 24.8259i | 0.124840 | − | 0.973754i | ||||
\(651\) | −16.4502 | − | 45.3608i | −0.644733 | − | 1.77783i | ||||
\(652\) | 1.98573 | − | 2.36651i | 0.0777674 | − | 0.0926795i | ||||
\(653\) | 0.354102 | − | 0.613323i | 0.0138571 | − | 0.0240012i | −0.859014 | − | 0.511953i | \(-0.828922\pi\) |
0.872871 | + | 0.487951i | \(0.162256\pi\) | |||||||
\(654\) | 4.47441 | − | 12.2489i | 0.174963 | − | 0.478971i | ||||
\(655\) | −8.71137 | + | 19.8895i | −0.340382 | + | 0.777147i | ||||
\(656\) | 0.186566 | − | 1.05807i | 0.00728418 | − | 0.0413106i | ||||
\(657\) | −0.609849 | − | 1.68777i | −0.0237925 | − | 0.0658460i | ||||
\(658\) | 24.4538 | − | 42.3552i | 0.953308 | − | 1.65118i | ||||
\(659\) | 10.8393 | + | 9.09528i | 0.422240 | + | 0.354302i | 0.829015 | − | 0.559227i | \(-0.188902\pi\) |
−0.406774 | + | 0.913529i | \(0.633346\pi\) | |||||||
\(660\) | 0.228461 | + | 2.07588i | 0.00889284 | + | 0.0808037i | ||||
\(661\) | 11.7136 | + | 32.1828i | 0.455605 | + | 1.25177i | 0.928726 | + | 0.370767i | \(0.120905\pi\) |
−0.473121 | + | 0.880998i | \(0.656872\pi\) | |||||||
\(662\) | −2.33757 | + | 1.96145i | −0.0908521 | + | 0.0762340i | ||||
\(663\) | 25.3238 | − | 30.1084i | 0.983493 | − | 1.16931i | ||||
\(664\) | − | 7.78052i | − | 0.301943i | ||||||
\(665\) | −43.8617 | − | 17.9080i | −1.70088 | − | 0.694444i | ||||
\(666\) | −25.7364 | − | 4.59984i | −0.997265 | − | 0.178240i | ||||
\(667\) | 0.647361 | + | 3.67137i | 0.0250659 | + | 0.142156i | ||||
\(668\) | −10.9660 | − | 13.0688i | −0.424287 | − | 0.505645i | ||||
\(669\) | −22.7020 | − | 13.1423i | −0.877711 | − | 0.508110i | ||||
\(670\) | 9.40279 | + | 6.25971i | 0.363261 | + | 0.241834i | ||||
\(671\) | 0.877893 | − | 1.04623i | 0.0338907 | − | 0.0403893i | ||||
\(672\) | −8.29285 | + | 1.45230i | −0.319904 | + | 0.0560236i | ||||
\(673\) | 0.579758 | + | 1.00417i | 0.0223480 | + | 0.0387079i | 0.876983 | − | 0.480521i | \(-0.159552\pi\) |
−0.854635 | + | 0.519229i | \(0.826219\pi\) | |||||||
\(674\) | 20.8715 | + | 3.68022i | 0.803942 | + | 0.141757i | ||||
\(675\) | 3.39382 | − | 25.7581i | 0.130628 | − | 0.991431i | ||||
\(676\) | 6.02916 | + | 10.4428i | 0.231891 | + | 0.401647i | ||||
\(677\) | −19.6923 | − | 11.3693i | −0.756836 | − | 0.436959i | 0.0713228 | − | 0.997453i | \(-0.477278\pi\) |
−0.828158 | + | 0.560494i | \(0.810611\pi\) | |||||||
\(678\) | −0.0162578 | + | 13.9625i | −0.000624377 | + | 0.536228i | ||||
\(679\) | 17.1290 | − | 47.0614i | 0.657349 | − | 1.80605i | ||||
\(680\) | −10.0841 | + | 1.12169i | −0.386707 | + | 0.0430148i | ||||
\(681\) | 6.35703 | − | 35.8086i | 0.243602 | − | 1.37219i | ||||
\(682\) | −3.04348 | + | 0.536648i | −0.116541 | + | 0.0205493i | ||||
\(683\) | 44.0729i | 1.68640i | 0.537597 | + | 0.843202i | \(0.319332\pi\) | ||||
−0.537597 | + | 0.843202i | \(0.680668\pi\) | |||||||
\(684\) | 8.63237 | + | 9.82254i | 0.330067 | + | 0.375574i | ||||
\(685\) | 8.78786 | − | 36.1786i | 0.335767 | − | 1.38231i | ||||
\(686\) | −8.12561 | − | 46.0826i | −0.310237 | − | 1.75944i | ||||
\(687\) | −42.3521 | − | 7.51867i | −1.61583 | − | 0.286855i | ||||
\(688\) | 4.14232 | + | 11.3809i | 0.157924 | + | 0.433893i | ||||
\(689\) | 16.5069 | − | 45.3522i | 0.628861 | − | 1.72778i | ||||
\(690\) | −3.69024 | + | 15.1155i | −0.140485 | + | 0.575438i | ||||
\(691\) | 9.58267 | − | 16.5977i | 0.364542 | − | 0.631405i | −0.624161 | − | 0.781296i | \(-0.714559\pi\) |
0.988703 | + | 0.149891i | \(0.0478923\pi\) | |||||||
\(692\) | 4.52831 | − | 2.61442i | 0.172140 | − | 0.0993853i | ||||
\(693\) | 7.38265 | + | 2.70655i | 0.280444 | + | 0.102813i | ||||
\(694\) | −29.8904 | − | 5.27048i | −1.13462 | − | 0.200065i | ||||
\(695\) | 15.7890 | − | 4.63112i | 0.598910 | − | 0.175668i | ||||
\(696\) | −0.277256 | − | 1.58317i | −0.0105093 | − | 0.0600100i | ||||
\(697\) | −3.73455 | − | 3.13366i | −0.141456 | − | 0.118696i | ||||
\(698\) | 3.99724 | − | 10.9823i | 0.151298 | − | 0.415687i | ||||
\(699\) | −43.3945 | − | 25.1213i | −1.64133 | − | 0.950173i | ||||
\(700\) | 5.34070 | + | 23.7097i | 0.201859 | + | 0.896141i | ||||
\(701\) | −22.7004 | + | 4.00269i | −0.857382 | + | 0.151180i | −0.585023 | − | 0.811016i | \(-0.698915\pi\) |
−0.272358 | + | 0.962196i | \(0.587804\pi\) | |||||||
\(702\) | 12.9268 | + | 22.5715i | 0.487889 | + | 0.851907i | ||||
\(703\) | −25.1427 | − | 28.4752i | −0.948273 | − | 1.07396i | ||||
\(704\) | 0.539227i | 0.0203229i | ||||||||
\(705\) | 23.0594 | + | 31.4141i | 0.868468 | + | 1.18312i | ||||
\(706\) | 16.0601 | + | 19.1397i | 0.604431 | + | 0.720333i | ||||
\(707\) | −48.2426 | + | 17.5589i | −1.81435 | + | 0.660369i | ||||
\(708\) | −0.132248 | − | 0.364669i | −0.00497019 | − | 0.0137051i | ||||
\(709\) | 6.81911 | + | 5.72191i | 0.256097 | + | 0.214891i | 0.761792 | − | 0.647821i | \(-0.224320\pi\) |
−0.505695 | + | 0.862712i | \(0.668764\pi\) | |||||||
\(710\) | 5.88580 | − | 6.16929i | 0.220890 | − | 0.231529i | ||||
\(711\) | −5.21893 | − | 14.4435i | −0.195725 | − | 0.541672i | ||||
\(712\) | −3.91405 | − | 0.690153i | −0.146685 | − | 0.0258646i | ||||
\(713\) | −22.6750 | − | 3.99822i | −0.849187 | − | 0.149735i | ||||
\(714\) | −13.1076 | + | 35.8828i | −0.490540 | + | 1.34288i | ||||
\(715\) | −4.16642 | + | 4.36709i | −0.155815 | + | 0.163320i | ||||
\(716\) | 16.2985 | + | 13.6760i | 0.609102 | + | 0.511097i | ||||
\(717\) | 40.5134 | − | 14.6923i | 1.51300 | − | 0.548693i | ||||
\(718\) | 5.46697 | − | 1.98981i | 0.204026 | − | 0.0742592i | ||||
\(719\) | −32.7998 | − | 39.0893i | −1.22323 | − | 1.45778i | −0.847283 | − | 0.531141i | \(-0.821763\pi\) |
−0.375943 | − | 0.926643i | \(-0.622681\pi\) | |||||||
\(720\) | 1.59857 | − | 6.51495i | 0.0595753 | − | 0.242798i | ||||
\(721\) | 5.76635i | 0.214750i | ||||||||
\(722\) | 0.956948 | + | 18.9759i | 0.0356139 | + | 0.706209i | ||||
\(723\) | 3.50425 | − | 2.93347i | 0.130324 | − | 0.109097i | ||||
\(724\) | −2.70329 | + | 0.476664i | −0.100467 | + | 0.0177151i | ||||
\(725\) | −4.52636 | + | 1.01958i | −0.168105 | + | 0.0378664i | ||||
\(726\) | −9.29317 | + | 16.0530i | −0.344902 | + | 0.595784i | ||||
\(727\) | 2.70548 | − | 7.43324i | 0.100341 | − | 0.275683i | −0.879357 | − | 0.476162i | \(-0.842028\pi\) |
0.979698 | + | 0.200479i | \(0.0642497\pi\) | |||||||
\(728\) | −18.6394 | − | 15.6403i | −0.690823 | − | 0.579670i | ||||
\(729\) | 13.3363 | + | 23.4764i | 0.493938 | + | 0.869497i | ||||
\(730\) | −1.28352 | + | 0.376473i | −0.0475051 | + | 0.0139339i | ||||
\(731\) | 54.1209 | + | 9.54297i | 2.00173 | + | 0.352960i | ||||
\(732\) | −3.80177 | + | 2.18905i | −0.140517 | + | 0.0809097i | ||||
\(733\) | 28.2098 | − | 16.2869i | 1.04195 | − | 0.601571i | 0.121566 | − | 0.992583i | \(-0.461208\pi\) |
0.920386 | + | 0.391012i | \(0.127875\pi\) | |||||||
\(734\) | 11.0162 | − | 19.0806i | 0.406616 | − | 0.704279i | ||||
\(735\) | 62.5581 | + | 15.2727i | 2.30749 | + | 0.563341i | ||||
\(736\) | −1.37404 | + | 3.77516i | −0.0506480 | + | 0.139154i | ||||
\(737\) | −0.931660 | − | 2.55972i | −0.0343181 | − | 0.0942883i | ||||
\(738\) | 2.79509 | − | 1.60508i | 0.102889 | − | 0.0590839i | ||||
\(739\) | 3.49358 | + | 19.8131i | 0.128513 | + | 0.728835i | 0.979159 | + | 0.203096i | \(0.0651002\pi\) |
−0.850646 | + | 0.525740i | \(0.823789\pi\) | |||||||
\(740\) | −4.59963 | + | 18.9361i | −0.169086 | + | 0.696106i | ||||
\(741\) | −5.66657 | + | 37.3660i | −0.208167 | + | 1.37267i | ||||
\(742\) | 46.8640i | 1.72043i | ||||||||
\(743\) | 27.6302 | − | 4.87195i | 1.01365 | − | 0.178735i | 0.357940 | − | 0.933744i | \(-0.383479\pi\) |
0.655713 | + | 0.755010i | \(0.272368\pi\) | |||||||
\(744\) | 9.77395 | + | 1.73515i | 0.358330 | + | 0.0636136i | ||||
\(745\) | −13.6509 | + | 1.51844i | −0.500130 | + | 0.0556312i | ||||
\(746\) | −4.08222 | + | 11.2158i | −0.149461 | + | 0.410640i | ||||
\(747\) | 17.9156 | − | 14.9620i | 0.655496 | − | 0.547430i | ||||
\(748\) | 2.11897 | + | 1.22339i | 0.0774771 | + | 0.0447315i | ||||
\(749\) | 13.0811 | + | 22.6571i | 0.477972 | + | 0.827872i | ||||
\(750\) | −19.0075 | − | 3.70341i | −0.694055 | − | 0.135229i | ||||
\(751\) | −0.304362 | − | 0.0536673i | −0.0111063 | − | 0.00195835i | 0.168092 | − | 0.985771i | \(-0.446239\pi\) |
−0.179199 | + | 0.983813i | \(0.557350\pi\) | |||||||
\(752\) | 5.03088 | + | 8.71373i | 0.183457 | + | 0.317757i | ||||
\(753\) | −7.06386 | − | 40.3357i | −0.257421 | − | 1.46992i | ||||
\(754\) | 2.98587 | − | 3.55842i | 0.108739 | − | 0.129590i | ||||
\(755\) | −26.0963 | − | 17.3731i | −0.949742 | − | 0.632271i | ||||
\(756\) | −19.2913 | − | 16.3025i | −0.701617 | − | 0.592915i | ||||
\(757\) | 2.59295 | + | 3.09015i | 0.0942422 | + | 0.112313i | 0.811104 | − | 0.584901i | \(-0.198867\pi\) |
−0.716862 | + | 0.697215i | \(0.754422\pi\) | |||||||
\(758\) | 1.02188 | + | 5.79539i | 0.0371165 | + | 0.210498i | ||||
\(759\) | 2.87713 | − | 2.40849i | 0.104433 | − | 0.0874228i | ||||
\(760\) | 7.70246 | − | 5.97262i | 0.279398 | − | 0.216650i | ||||
\(761\) | − | 14.3401i | − | 0.519829i | −0.965632 | − | 0.259914i | \(-0.916306\pi\) | ||
0.965632 | − | 0.259914i | \(-0.0836943\pi\) | |||||||
\(762\) | −11.0023 | − | 9.25386i | −0.398570 | − | 0.335232i | ||||
\(763\) | −28.0345 | + | 23.5237i | −1.01492 | + | 0.851617i | ||||
\(764\) | −1.23123 | − | 3.38277i | −0.0445442 | − | 0.122384i | ||||
\(765\) | −21.9746 | − | 21.0628i | −0.794493 | − | 0.761527i | ||||
\(766\) | 25.6235 | + | 21.5007i | 0.925814 | + | 0.776850i | ||||
\(767\) | 0.560551 | − | 0.970903i | 0.0202403 | − | 0.0350573i | ||||
\(768\) | 0.594291 | − | 1.62690i | 0.0214446 | − | 0.0587059i | ||||
\(769\) | 2.10898 | − | 11.9606i | 0.0760518 | − | 0.431311i | −0.922879 | − | 0.385089i | \(-0.874171\pi\) |
0.998931 | − | 0.0462222i | \(-0.0147182\pi\) | |||||||
\(770\) | 2.35133 | − | 5.36848i | 0.0847362 | − | 0.193467i | ||||
\(771\) | 37.6614 | + | 13.7573i | 1.35634 | + | 0.495458i | ||||
\(772\) | 10.1029 | − | 17.4987i | 0.363610 | − | 0.629791i | ||||
\(773\) | −21.5467 | + | 25.6784i | −0.774982 | + | 0.923588i | −0.998695 | − | 0.0510670i | \(-0.983738\pi\) |
0.223713 | + | 0.974655i | \(0.428182\pi\) | |||||||
\(774\) | −18.2402 | + | 31.4237i | −0.655631 | + | 1.12950i | ||||
\(775\) | 3.64403 | − | 28.4235i | 0.130898 | − | 1.02100i | ||||
\(776\) | 6.62284 | + | 7.89279i | 0.237746 | + | 0.283335i | ||||
\(777\) | 56.1496 | + | 47.2267i | 2.01436 | + | 1.69425i | ||||
\(778\) | −24.0567 | −0.862474 | ||||||||
\(779\) | 4.63103 | + | 0.696784i | 0.165924 | + | 0.0249649i | ||||
\(780\) | 17.3836 | − | 8.58410i | 0.622431 | − | 0.307360i | ||||
\(781\) | −2.02495 | + | 0.357053i | −0.0724583 | + | 0.0127764i | ||||
\(782\) | 11.7176 | + | 13.9645i | 0.419021 | + | 0.499369i | ||||
\(783\) | 3.11228 | − | 3.68286i | 0.111224 | − | 0.131615i | ||||
\(784\) | 15.6241 | + | 5.68671i | 0.558004 | + | 0.203097i | ||||
\(785\) | −5.79478 | − | 7.87505i | −0.206825 | − | 0.281073i | ||||
\(786\) | −16.5671 | + | 2.90135i | −0.590930 | + | 0.103488i | ||||
\(787\) | −13.7716 | − | 23.8531i | −0.490903 | − | 0.850270i | 0.509042 | − | 0.860742i | \(-0.330000\pi\) |
−0.999945 | + | 0.0104722i | \(0.996667\pi\) | |||||||
\(788\) | 0.257115 | − | 1.45817i | 0.00915934 | − | 0.0519452i | ||||
\(789\) | −34.2685 | + | 19.7318i | −1.21999 | + | 0.702470i | ||||
\(790\) | −10.9840 | + | 3.22176i | −0.390793 | + | 0.114625i | ||||
\(791\) | 19.5919 | − | 33.9342i | 0.696608 | − | 1.20656i | ||||
\(792\) | −1.24163 | + | 1.03694i | −0.0441195 | + | 0.0368459i | ||||
\(793\) | −11.9142 | − | 4.33641i | −0.423085 | − | 0.153990i | ||||
\(794\) | 12.1161 | − | 4.40990i | 0.429984 | − | 0.156502i | ||||
\(795\) | −34.1864 | − | 15.0207i | −1.21247 | − | 0.532730i | ||||
\(796\) | 1.87199 | + | 10.6166i | 0.0663508 | + | 0.376294i | ||||
\(797\) | 27.0148i | 0.956912i | 0.878112 | + | 0.478456i | \(0.158803\pi\) | ||||
−0.878112 | + | 0.478456i | \(0.841197\pi\) | |||||||
\(798\) | −7.23900 | − | 35.9767i | −0.256258 | − | 1.27356i | ||||
\(799\) | 45.6558 | 1.61519 | ||||||||
\(800\) | −4.77365 | − | 1.48735i | −0.168774 | − | 0.0525859i | ||||
\(801\) | −5.93758 | − | 10.3397i | −0.209794 | − | 0.365336i | ||||
\(802\) | 0.333567 | + | 0.916468i | 0.0117787 | + | 0.0323616i | ||||
\(803\) | 0.303107 | + | 0.110322i | 0.0106964 | + | 0.00389317i | ||||
\(804\) | −0.0101881 | + | 8.74973i | −0.000359306 | + | 0.308579i | ||||
\(805\) | 30.1416 | − | 31.5934i | 1.06235 | − | 1.11352i | ||||
\(806\) | 14.3448 | + | 24.8459i | 0.505273 | + | 0.875158i | ||||
\(807\) | −29.9003 | + | 17.2165i | −1.05254 | + | 0.606051i | ||||
\(808\) | 1.83405 | − | 10.4014i | 0.0645218 | − | 0.365921i | ||||
\(809\) | 44.4456 | − | 25.6607i | 1.56262 | − | 0.902181i | 0.565632 | − | 0.824658i | \(-0.308632\pi\) |
0.996991 | − | 0.0775227i | \(-0.0247010\pi\) | |||||||
\(810\) | 18.0755 | − | 8.84738i | 0.635108 | − | 0.310865i | ||||
\(811\) | 26.1321 | − | 31.1430i | 0.917621 | − | 1.09358i | −0.0777018 | − | 0.996977i | \(-0.524758\pi\) |
0.995323 | − | 0.0966018i | \(-0.0307973\pi\) | |||||||
\(812\) | −1.54270 | + | 4.23853i | −0.0541382 | + | 0.148743i | ||||
\(813\) | −7.07489 | − | 4.09568i | −0.248127 | − | 0.143642i | ||||
\(814\) | 3.59982 | − | 3.02060i | 0.126173 | − | 0.105872i | ||||
\(815\) | 0.440105 | − | 6.89375i | 0.0154162 | − | 0.241477i | ||||
\(816\) | −5.04483 | − | 6.02644i | −0.176605 | − | 0.210967i | ||||
\(817\) | −49.1377 | + | 19.2999i | −1.71911 | + | 0.675217i | ||||
\(818\) | −26.0573 | −0.911072 | ||||||||
\(819\) | 0.169992 | − | 72.9959i | 0.00593999 | − | 2.55068i | ||||
\(820\) | −1.06621 | − | 2.15285i | −0.0372337 | − | 0.0751809i | ||||
\(821\) | −1.08607 | − | 2.98396i | −0.0379042 | − | 0.104141i | 0.919297 | − | 0.393565i | \(-0.128758\pi\) |
−0.957201 | + | 0.289424i | \(0.906536\pi\) | |||||||
\(822\) | 27.1109 | − | 9.83184i | 0.945603 | − | 0.342925i | ||||
\(823\) | 5.30044 | − | 6.31682i | 0.184762 | − | 0.220190i | −0.665711 | − | 0.746210i | \(-0.731872\pi\) |
0.850473 | + | 0.526019i | \(0.176316\pi\) | |||||||
\(824\) | −1.02738 | − | 0.593156i | −0.0357903 | − | 0.0206636i | ||||
\(825\) | 3.16256 | + | 3.43594i | 0.110106 | + | 0.119624i | ||||
\(826\) | −0.189035 | + | 1.07207i | −0.00657737 | + | 0.0373021i | ||||
\(827\) | 16.7668 | + | 2.95643i | 0.583038 | + | 0.102805i | 0.457385 | − | 0.889269i | \(-0.348786\pi\) |
0.125653 | + | 0.992074i | \(0.459897\pi\) | |||||||
\(828\) | −11.3350 | + | 4.09575i | −0.393920 | + | 0.142337i | ||||
\(829\) | −11.3528 | − | 6.55456i | −0.394300 | − | 0.227649i | 0.289721 | − | 0.957111i | \(-0.406437\pi\) |
−0.684022 | + | 0.729462i | \(0.739771\pi\) | |||||||
\(830\) | −10.3112 | − | 14.0129i | −0.357908 | − | 0.486394i | ||||
\(831\) | 21.6377 | − | 7.84696i | 0.750603 | − | 0.272208i | ||||
\(832\) | 4.70394 | − | 1.71209i | 0.163080 | − | 0.0593562i | ||||
\(833\) | 57.7944 | − | 48.4952i | 2.00246 | − | 1.68026i | ||||
\(834\) | 9.75394 | + | 8.20390i | 0.337751 | + | 0.284078i | ||||
\(835\) | −37.0695 | − | 9.00428i | −1.28284 | − | 0.311606i | ||||
\(836\) | −2.34969 | + | 0.0592094i | −0.0812657 | + | 0.00204780i | ||||
\(837\) | 14.8000 | + | 25.8424i | 0.511562 | + | 0.893243i | ||||
\(838\) | 1.69543 | + | 9.61526i | 0.0585677 | + | 0.332154i | ||||
\(839\) | −11.5360 | + | 9.67985i | −0.398267 | + | 0.334185i | −0.819823 | − | 0.572617i | \(-0.805928\pi\) |
0.421557 | + | 0.906802i | \(0.361484\pi\) | |||||||
\(840\) | −13.0109 | + | 13.6058i | −0.448919 | + | 0.469446i | ||||
\(841\) | 26.4419 | + | 9.62407i | 0.911790 | + | 0.331864i | ||||
\(842\) | 9.06353 | + | 7.60520i | 0.312350 | + | 0.262093i | ||||
\(843\) | 2.10133 | − | 0.367998i | 0.0723735 | − | 0.0126745i | ||||
\(844\) | −8.59754 | + | 4.96379i | −0.295940 | + | 0.170861i | ||||
\(845\) | 24.6981 | + | 10.8175i | 0.849641 | + | 0.372133i | ||||
\(846\) | −10.3900 | + | 28.3407i | −0.357215 | + | 0.974375i | ||||
\(847\) | 45.0808 | − | 26.0274i | 1.54900 | − | 0.894313i | ||||
\(848\) | −8.34964 | − | 4.82066i | −0.286728 | − | 0.165542i | ||||
\(849\) | 5.14946 | + | 0.00599598i | 0.176729 | + | 0.000205781i | ||||
\(850\) | −16.6751 | + | 15.3843i | −0.571952 | + | 0.527676i | ||||
\(851\) | 32.8995 | − | 11.9744i | 1.12778 | − | 0.410479i | ||||
\(852\) | 6.50299 | + | 1.15446i | 0.222789 | + | 0.0395512i | ||||
\(853\) | −28.2863 | + | 4.98764i | −0.968504 | + | 0.170773i | −0.635457 | − | 0.772136i | \(-0.719188\pi\) |
−0.333048 | + | 0.942910i | \(0.608077\pi\) | |||||||
\(854\) | 12.3113 | 0.421285 | ||||||||
\(855\) | 28.5645 | + | 6.25044i | 0.976886 | + | 0.213761i | ||||
\(856\) | −5.38234 | −0.183964 | ||||||||
\(857\) | 5.43157 | − | 0.957732i | 0.185539 | − | 0.0327155i | −0.0801066 | − | 0.996786i | \(-0.525526\pi\) |
0.265645 | + | 0.964071i | \(0.414415\pi\) | |||||||
\(858\) | −4.60331 | − | 0.817216i | −0.157154 | − | 0.0278993i | ||||
\(859\) | 5.61825 | − | 2.04487i | 0.191692 | − | 0.0697702i | −0.244390 | − | 0.969677i | \(-0.578588\pi\) |
0.436082 | + | 0.899907i | \(0.356366\pi\) | |||||||
\(860\) | 22.5431 | + | 15.0076i | 0.768714 | + | 0.511755i | ||||
\(861\) | −9.04535 | − | 0.0105323i | −0.308265 | − | 0.000358940i | ||||
\(862\) | 13.6454 | + | 7.87817i | 0.464764 | + | 0.268331i | ||||
\(863\) | 38.2495 | − | 22.0833i | 1.30203 | − | 0.751726i | 0.321275 | − | 0.946986i | \(-0.395888\pi\) |
0.980751 | + | 0.195260i | \(0.0625551\pi\) | |||||||
\(864\) | 4.88896 | − | 1.76012i | 0.166326 | − | 0.0598806i | ||||
\(865\) | 4.69078 | − | 10.7098i | 0.159491 | − | 0.364145i | ||||
\(866\) | −4.33475 | + | 2.50267i | −0.147301 | + | 0.0850442i | ||||
\(867\) | −6.12387 | + | 1.07245i | −0.207977 | + | 0.0364224i | ||||
\(868\) | −21.3405 | − | 17.9068i | −0.724343 | − | 0.607796i | ||||
\(869\) | 2.59391 | + | 0.944106i | 0.0879924 | + | 0.0320266i | ||||
\(870\) | −2.59746 | − | 2.48389i | −0.0880622 | − | 0.0842117i | ||||
\(871\) | −19.3715 | + | 16.2547i | −0.656380 | + | 0.550768i | ||||
\(872\) | −1.30739 | − | 7.41460i | −0.0442739 | − | 0.251090i | ||||
\(873\) | −5.43833 | + | 30.4277i | −0.184059 | + | 1.02982i | ||||
\(874\) | −16.6012 | − | 5.57289i | −0.561543 | − | 0.188506i | ||||
\(875\) | 41.0402 | + | 35.6237i | 1.38741 | + | 1.20430i | ||||
\(876\) | −0.792918 | − | 0.666912i | −0.0267902 | − | 0.0225329i | ||||
\(877\) | 12.9028 | − | 10.8268i | 0.435698 | − | 0.365594i | −0.398399 | − | 0.917212i | \(-0.630434\pi\) |
0.834097 | + | 0.551618i | \(0.185989\pi\) | |||||||
\(878\) | 5.06993 | − | 1.84530i | 0.171102 | − | 0.0622759i | ||||
\(879\) | 0.505473 | − | 0.183311i | 0.0170492 | − | 0.00618293i | ||||
\(880\) | 0.714618 | + | 0.971159i | 0.0240898 | + | 0.0327378i | ||||
\(881\) | −20.7022 | − | 11.9524i | −0.697476 | − | 0.402688i | 0.108931 | − | 0.994049i | \(-0.465257\pi\) |
−0.806407 | + | 0.591361i | \(0.798591\pi\) | |||||||
\(882\) | 16.9509 | + | 46.9119i | 0.570767 | + | 1.57961i | ||||
\(883\) | 2.19282 | + | 0.386653i | 0.0737942 | + | 0.0130119i | 0.210423 | − | 0.977610i | \(-0.432516\pi\) |
−0.136629 | + | 0.990622i | \(0.543627\pi\) | |||||||
\(884\) | 3.94429 | − | 22.3692i | 0.132661 | − | 0.752356i | ||||
\(885\) | −0.721465 | − | 0.481514i | −0.0242518 | − | 0.0161859i | ||||
\(886\) | −13.8809 | − | 8.01411i | −0.466336 | − | 0.269239i | ||||
\(887\) | −21.8578 | + | 26.0492i | −0.733915 | + | 0.874645i | −0.995903 | − | 0.0904256i | \(-0.971177\pi\) |
0.261989 | + | 0.965071i | \(0.415622\pi\) | |||||||
\(888\) | −14.1901 | + | 5.14606i | −0.476188 | + | 0.172691i | ||||
\(889\) | 13.7990 | + | 37.9124i | 0.462803 | + | 1.27154i | ||||
\(890\) | −7.96392 | + | 3.94417i | −0.266951 | + | 0.132209i | ||||
\(891\) | −4.77534 | − | 0.864973i | −0.159980 | − | 0.0289777i | ||||
\(892\) | −15.1449 | −0.507088 | ||||||||
\(893\) | −37.4178 | + | 22.8789i | −1.25214 | + | 0.765614i | ||||
\(894\) | −6.82921 | − | 8.15801i | −0.228403 | − | 0.272845i | ||||
\(895\) | 47.4782 | + | 3.03107i | 1.58702 | + | 0.101317i | ||||
\(896\) | −3.72355 | + | 3.12443i | −0.124395 | + | 0.104380i | ||||
\(897\) | −30.1456 | − | 17.4514i | −1.00653 | − | 0.582686i | ||||
\(898\) | 12.8140 | − | 35.2061i | 0.427608 | − | 1.17484i | ||||
\(899\) | 3.41855 | − | 4.07407i | 0.114015 | − | 0.135878i | ||||
\(900\) | −5.75496 | − | 13.8521i | −0.191832 | − | 0.461736i | ||||
\(901\) | −37.8870 | + | 21.8740i | −1.26220 | + | 0.728730i | ||||
\(902\) | −0.100601 | + | 0.570539i | −0.00334966 | + | 0.0189969i | ||||
\(903\) | 88.3643 | − | 50.8801i | 2.94058 | − | 1.69318i | ||||
\(904\) | 4.03064 | + | 6.98127i | 0.134057 | + | 0.232194i | ||||
\(905\) | −4.23698 | + | 4.44106i | −0.140842 | + | 0.147626i | ||||
\(906\) | 0.0282758 | − | 24.2838i | 0.000939401 | − | 0.806776i | ||||
\(907\) | 1.04456 | + | 0.380189i | 0.0346840 | + | 0.0126240i | 0.359304 | − | 0.933221i | \(-0.383014\pi\) |
−0.324620 | + | 0.945845i | \(0.605236\pi\) | |||||||
\(908\) | −7.18153 | − | 19.7311i | −0.238327 | − | 0.654799i | ||||
\(909\) | 27.4774 | − | 15.7789i | 0.911369 | − | 0.523353i | ||||
\(910\) | −54.2976 | − | 3.46642i | −1.79995 | − | 0.114911i | ||||
\(911\) | −29.2478 | −0.969023 | −0.484512 | − | 0.874785i | \(-0.661003\pi\) | ||||
−0.484512 | + | 0.874785i | \(0.661003\pi\) | |||||||
\(912\) | 7.15452 | + | 2.41099i | 0.236910 | + | 0.0798359i | ||||
\(913\) | 4.19547i | 0.138850i | ||||||||
\(914\) | 6.21763 | + | 35.2620i | 0.205661 | + | 1.16636i | ||||
\(915\) | −3.94599 | + | 8.98087i | −0.130450 | + | 0.296898i | ||||
\(916\) | −23.3366 | + | 8.49383i | −0.771064 | + | 0.280644i | ||||
\(917\) | 44.3542 | + | 16.1436i | 1.46471 | + | 0.533109i | ||||
\(918\) | 4.17533 | − | 23.2052i | 0.137807 | − | 0.765886i | ||||
\(919\) | 4.26983 | − | 7.39556i | 0.140849 | − | 0.243957i | −0.786968 | − | 0.616994i | \(-0.788350\pi\) |
0.927816 | + | 0.373037i | \(0.121684\pi\) | |||||||
\(920\) | 2.52839 | + | 8.62011i | 0.0833587 | + | 0.284197i | ||||
\(921\) | 21.7998 | − | 12.5523i | 0.718327 | − | 0.413612i | ||||
\(922\) | −3.08551 | + | 17.4988i | −0.101616 | + | 0.576292i | ||||
\(923\) | 9.54414 | + | 16.5309i | 0.314149 | + | 0.544122i | ||||
\(924\) | 4.47173 | − | 0.783119i | 0.147109 | − | 0.0257627i | ||||
\(925\) | 16.8113 | + | 40.2001i | 0.552753 | + | 1.32177i | ||||
\(926\) | 3.08191 | + | 1.12172i | 0.101278 | + | 0.0368622i | ||||
\(927\) | −0.609839 | − | 3.50629i | −0.0200297 | − | 0.115162i | ||||
\(928\) | −0.596478 | − | 0.710855i | −0.0195804 | − | 0.0233350i | ||||
\(929\) | −10.8179 | + | 1.90750i | −0.354925 | + | 0.0625829i | −0.348268 | − | 0.937395i | \(-0.613230\pi\) |
−0.00665716 | + | 0.999978i | \(0.502119\pi\) | |||||||
\(930\) | 19.9026 | − | 9.82802i | 0.652632 | − | 0.322273i | ||||
\(931\) | −23.0643 | + | 68.7067i | −0.755903 | + | 2.25177i | ||||
\(932\) | −28.9492 | −0.948261 | ||||||||
\(933\) | −26.4858 | − | 22.2768i | −0.867105 | − | 0.729310i | ||||
\(934\) | −1.16923 | − | 1.39343i | −0.0382583 | − | 0.0455945i | ||||
\(935\) | 5.43762 | − | 0.604846i | 0.177829 | − | 0.0197806i | ||||
\(936\) | 12.9880 | + | 7.53901i | 0.424526 | + | 0.246420i | ||||
\(937\) | 10.1941 | − | 12.1489i | 0.333028 | − | 0.396887i | −0.573381 | − | 0.819289i | \(-0.694368\pi\) |
0.906409 | + | 0.422402i | \(0.138813\pi\) | |||||||
\(938\) | 12.2774 | − | 21.2651i | 0.400872 | − | 0.694330i | ||||
\(939\) | 44.5952 | + | 16.2901i | 1.45531 | + | 0.531609i | ||||
\(940\) | 20.6087 | + | 9.02638i | 0.672182 | + | 0.294408i | ||||
\(941\) | 6.61918 | − | 37.5393i | 0.215779 | − | 1.22374i | −0.663770 | − | 0.747937i | \(-0.731045\pi\) |
0.879549 | − | 0.475808i | \(-0.157844\pi\) | |||||||
\(942\) | 2.59857 | − | 7.11372i | 0.0846659 | − | 0.231778i | ||||
\(943\) | −2.15815 | + | 3.73802i | −0.0702790 | + | 0.121727i | ||||
\(944\) | −0.171563 | − | 0.143958i | −0.00558389 | − | 0.00468544i | ||||
\(945\) | −56.3491 | − | 3.79508i | −1.83304 | − | 0.123454i | ||||
\(946\) | −2.23365 | − | 6.13690i | −0.0726222 | − | 0.199528i | ||||
\(947\) | 0.356205 | − | 0.298891i | 0.0115751 | − | 0.00971266i | −0.636982 | − | 0.770879i | \(-0.719817\pi\) |
0.648557 | + | 0.761166i | \(0.275373\pi\) | |||||||
\(948\) | −6.78558 | − | 5.70726i | −0.220385 | − | 0.185363i | ||||
\(949\) | − | 2.99443i | − | 0.0972033i | ||||||
\(950\) | 5.95700 | − | 20.9646i | 0.193271 | − | 0.680181i | ||||
\(951\) | 17.5919 | − | 14.7265i | 0.570458 | − | 0.477540i | ||||
\(952\) | 3.82997 | + | 21.7208i | 0.124130 | + | 0.703976i | ||||
\(953\) | −37.7058 | − | 44.9360i | −1.22141 | − | 1.45562i | −0.849696 | − | 0.527272i | \(-0.823215\pi\) |
−0.371713 | − | 0.928348i | \(-0.621230\pi\) | |||||||
\(954\) | −4.95625 | − | 28.4962i | −0.160465 | − | 0.922598i | ||||
\(955\) | −6.70052 | − | 4.46074i | −0.216824 | − | 0.144346i | ||||
\(956\) | 15.9932 | − | 19.0600i | 0.517258 | − | 0.616444i | ||||
\(957\) | 0.149504 | + | 0.853689i | 0.00483277 | + | 0.0275958i | ||||
\(958\) | 14.0201 | + | 24.2835i | 0.452969 | + | 0.784565i | ||||
\(959\) | −79.7019 | − | 14.0536i | −2.57371 | − | 0.453814i | ||||
\(960\) | −1.08575 | − | 3.71768i | −0.0350423 | − | 0.119988i | ||||
\(961\) | 0.923466 | + | 1.59949i | 0.0297892 | + | 0.0515964i | ||||
\(962\) | −37.7799 | − | 21.8123i | −1.21807 | − | 0.703255i | ||||
\(963\) | −10.3503 | − | 12.3935i | −0.333533 | − | 0.399374i | ||||
\(964\) | 0.902419 | − | 2.47938i | 0.0290650 | − | 0.0798553i | ||||
\(965\) | −4.99488 | − | 44.9044i | −0.160791 | − | 1.44552i | ||||
\(966\) | 33.3023 | + | 5.91209i | 1.07148 | + | 0.190218i | ||||
\(967\) | 20.6785 | − | 3.64617i | 0.664975 | − | 0.117253i | 0.169035 | − | 0.985610i | \(-0.445935\pi\) |
0.495940 | + | 0.868357i | \(0.334824\pi\) | |||||||
\(968\) | 10.7092i | 0.344208i | ||||||||
\(969\) | 25.7063 | − | 22.6447i | 0.825807 | − | 0.727452i | ||||
\(970\) | 22.3879 | + | 5.43808i | 0.718832 | + | 0.174606i | ||||
\(971\) | −3.79379 | − | 21.5157i | −0.121749 | − | 0.690470i | −0.983186 | − | 0.182607i | \(-0.941546\pi\) |
0.861437 | − | 0.507864i | \(-0.169565\pi\) | |||||||
\(972\) | 13.4544 | + | 7.87269i | 0.431550 | + | 0.252517i | ||||
\(973\) | −12.2333 | − | 33.6108i | −0.392183 | − | 1.07751i | ||||
\(974\) | 1.84971 | − | 5.08204i | 0.0592686 | − | 0.162839i | ||||
\(975\) | 19.9320 | − | 38.4979i | 0.638334 | − | 1.23292i | ||||
\(976\) | −1.26640 | + | 2.19348i | −0.0405366 | + | 0.0702115i | ||||
\(977\) | 12.2796 | − | 7.08961i | 0.392858 | − | 0.226817i | −0.290540 | − | 0.956863i | \(-0.593835\pi\) |
0.683398 | + | 0.730046i | \(0.260501\pi\) | |||||||
\(978\) | 4.63699 | − | 2.66998i | 0.148275 | − | 0.0853764i | ||||
\(979\) | 2.11056 | + | 0.372149i | 0.0674539 | + | 0.0118939i | ||||
\(980\) | 35.6757 | − | 10.4642i | 1.13962 | − | 0.334266i | ||||
\(981\) | 14.5589 | − | 17.2687i | 0.464829 | − | 0.551349i | ||||
\(982\) | 1.15893 | + | 0.972454i | 0.0369828 | + | 0.0310322i | ||||
\(983\) | 11.2172 | − | 30.8191i | 0.357774 | − | 0.982977i | −0.622026 | − | 0.782997i | \(-0.713690\pi\) |
0.979800 | − | 0.199980i | \(-0.0640877\pi\) | |||||||
\(984\) | 0.932325 | − | 1.61050i | 0.0297214 | − | 0.0513409i | ||||
\(985\) | −1.46939 | − | 2.96694i | −0.0468187 | − | 0.0945346i | ||||
\(986\) | −4.14668 | + | 0.731172i | −0.132057 | + | 0.0232853i | ||||
\(987\) | 64.9553 | − | 54.3752i | 2.06755 | − | 1.73078i | ||||
\(988\) | 7.97699 | + | 20.3095i | 0.253782 | + | 0.646131i | ||||
\(989\) | − | 48.6565i | − | 1.54719i | ||||||
\(990\) | −0.861994 | + | 3.51304i | −0.0273960 | + | 0.111652i | ||||
\(991\) | −3.14141 | − | 3.74379i | −0.0997902 | − | 0.118925i | 0.713838 | − | 0.700311i | \(-0.246955\pi\) |
−0.813628 | + | 0.581386i | \(0.802511\pi\) | |||||||
\(992\) | 5.38559 | − | 1.96019i | 0.170993 | − | 0.0622362i | ||||
\(993\) | −4.96867 | + | 1.80190i | −0.157676 | + | 0.0571815i | ||||
\(994\) | −14.1987 | − | 11.9141i | −0.450354 | − | 0.377892i | ||||
\(995\) | 17.4412 | + | 16.6398i | 0.552924 | + | 0.527516i | ||||
\(996\) | 4.62389 | − | 12.6582i | 0.146514 | − | 0.401089i | ||||
\(997\) | −18.7501 | − | 3.30614i | −0.593821 | − | 0.104707i | −0.131342 | − | 0.991337i | \(-0.541929\pi\) |
−0.462479 | + | 0.886630i | \(0.653040\pi\) | |||||||
\(998\) | −24.6110 | − | 4.33958i | −0.779046 | − | 0.137367i | ||||
\(999\) | −39.1370 | − | 22.7784i | −1.23824 | − | 0.720677i |
(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 | 570.2.bf.a.29.40 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.29.10 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.29.1 | ✓ | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.29.31 | yes | 240 | |
19.2 | odd | 18 | inner | 570.2.bf.a.59.31 | yes | 240 | |
57.2 | even | 18 | inner | 570.2.bf.a.59.1 | yes | 240 | |
95.59 | odd | 18 | inner | 570.2.bf.a.59.10 | yes | 240 | |
285.59 | even | 18 | inner | 570.2.bf.a.59.40 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.29.1 | ✓ | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.29.10 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.29.31 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.29.40 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.59.1 | yes | 240 | 57.2 | even | 18 | inner | |
570.2.bf.a.59.10 | yes | 240 | 95.59 | odd | 18 | inner | |
570.2.bf.a.59.31 | yes | 240 | 19.2 | odd | 18 | inner | |
570.2.bf.a.59.40 | yes | 240 | 285.59 | even | 18 | inner |