Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 83.2 | ||
Character | \(\chi\) | \(=\) | 177.83 |
Dual form | 177.2.f.a.32.2 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{53}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.660709 | − | 2.37966i | −0.467192 | − | 1.68267i | −0.703257 | − | 0.710935i | \(-0.748272\pi\) |
0.236066 | − | 0.971737i | \(-0.424142\pi\) | |||||||
\(3\) | −1.11645 | − | 1.32421i | −0.644584 | − | 0.764534i | ||||
\(4\) | −3.51252 | + | 2.11341i | −1.75626 | + | 1.05671i | ||||
\(5\) | −0.952806 | + | 0.0516596i | −0.426108 | + | 0.0231029i | −0.265946 | − | 0.963988i | \(-0.585684\pi\) |
−0.160162 | + | 0.987091i | \(0.551202\pi\) | |||||||
\(6\) | −2.41352 | + | 3.53169i | −0.985315 | + | 1.44181i | ||||
\(7\) | −0.387617 | − | 2.36436i | −0.146505 | − | 0.893644i | −0.953126 | − | 0.302574i | \(-0.902154\pi\) |
0.806620 | − | 0.591070i | \(-0.201294\pi\) | |||||||
\(8\) | 3.76401 | + | 3.56546i | 1.33078 | + | 1.26058i | ||||
\(9\) | −0.507069 | + | 2.95684i | −0.169023 | + | 0.985612i | ||||
\(10\) | 0.752460 | + | 2.23322i | 0.237949 | + | 0.706206i | ||||
\(11\) | 1.09001 | + | 2.05597i | 0.328650 | + | 0.619900i | 0.991685 | − | 0.128689i | \(-0.0410768\pi\) |
−0.663035 | + | 0.748588i | \(0.730732\pi\) | |||||||
\(12\) | 6.72017 | + | 2.29179i | 1.93995 | + | 0.661584i | ||||
\(13\) | −4.15091 | − | 1.65387i | −1.15126 | − | 0.458702i | −0.285110 | − | 0.958495i | \(-0.592030\pi\) |
−0.866145 | + | 0.499792i | \(0.833410\pi\) | |||||||
\(14\) | −5.37027 | + | 2.48455i | −1.43526 | + | 0.664024i | ||||
\(15\) | 1.13217 | + | 1.20404i | 0.292325 | + | 0.310882i | ||||
\(16\) | 2.15736 | − | 4.06921i | 0.539339 | − | 1.01730i | ||||
\(17\) | 1.79831 | + | 0.294817i | 0.436153 | + | 0.0715037i | 0.375859 | − | 0.926677i | \(-0.377348\pi\) |
0.0602944 | + | 0.998181i | \(0.480796\pi\) | |||||||
\(18\) | 7.37128 | − | 0.746957i | 1.73743 | − | 0.176060i | ||||
\(19\) | 3.93302 | − | 4.63031i | 0.902296 | − | 1.06226i | −0.0954683 | − | 0.995432i | \(-0.530435\pi\) |
0.997764 | − | 0.0668324i | \(-0.0212893\pi\) | |||||||
\(20\) | 3.23757 | − | 2.19513i | 0.723944 | − | 0.490846i | ||||
\(21\) | −2.69815 | + | 3.15298i | −0.588786 | + | 0.688037i | ||||
\(22\) | 4.17234 | − | 3.95225i | 0.889546 | − | 0.842622i | ||||
\(23\) | −4.81067 | − | 3.65697i | −1.00309 | − | 0.762532i | −0.0315765 | − | 0.999501i | \(-0.510053\pi\) |
−0.971517 | + | 0.236969i | \(0.923846\pi\) | |||||||
\(24\) | 0.519083 | − | 8.96501i | 0.105957 | − | 1.82997i | ||||
\(25\) | −4.06552 | + | 0.442152i | −0.813104 | + | 0.0884304i | ||||
\(26\) | −1.19311 | + | 10.9705i | −0.233988 | + | 2.15149i | ||||
\(27\) | 4.48159 | − | 2.62970i | 0.862483 | − | 0.506086i | ||||
\(28\) | 6.35839 | + | 7.48567i | 1.20162 | + | 1.41466i | ||||
\(29\) | −2.94190 | − | 0.816813i | −0.546296 | − | 0.151678i | −0.0165944 | − | 0.999862i | \(-0.505282\pi\) |
−0.529702 | + | 0.848184i | \(0.677696\pi\) | |||||||
\(30\) | 2.11717 | − | 3.48970i | 0.386541 | − | 0.637129i | ||||
\(31\) | −7.25288 | + | 6.16066i | −1.30266 | + | 1.10649i | −0.315127 | + | 0.949049i | \(0.602047\pi\) |
−0.987529 | + | 0.157437i | \(0.949677\pi\) | |||||||
\(32\) | −0.981901 | − | 0.216133i | −0.173577 | − | 0.0382072i | ||||
\(33\) | 1.50560 | − | 3.73880i | 0.262092 | − | 0.650841i | ||||
\(34\) | −0.486592 | − | 4.47414i | −0.0834499 | − | 0.767309i | ||||
\(35\) | 0.491466 | + | 2.23275i | 0.0830729 | + | 0.377404i | ||||
\(36\) | −4.46793 | − | 11.4576i | −0.744655 | − | 1.90960i | ||||
\(37\) | −5.20883 | − | 5.49890i | −0.856327 | − | 0.904013i | 0.139956 | − | 0.990158i | \(-0.455304\pi\) |
−0.996283 | + | 0.0861445i | \(0.972545\pi\) | |||||||
\(38\) | −13.6171 | − | 6.29995i | −2.20899 | − | 1.02199i | ||||
\(39\) | 2.44422 | + | 7.34315i | 0.391388 | + | 1.17585i | ||||
\(40\) | −3.77056 | − | 3.20274i | −0.596178 | − | 0.506398i | ||||
\(41\) | −3.48062 | − | 4.57867i | −0.543581 | − | 0.715068i | 0.439500 | − | 0.898243i | \(-0.355156\pi\) |
−0.983080 | + | 0.183174i | \(0.941363\pi\) | |||||||
\(42\) | 9.28571 | + | 4.33748i | 1.43282 | + | 0.669288i | ||||
\(43\) | 7.16569 | + | 3.79901i | 1.09276 | + | 0.579343i | 0.914477 | − | 0.404637i | \(-0.132602\pi\) |
0.178279 | + | 0.983980i | \(0.442947\pi\) | |||||||
\(44\) | −8.17381 | − | 4.91802i | −1.23225 | − | 0.741419i | ||||
\(45\) | 0.330389 | − | 2.84349i | 0.0492515 | − | 0.423882i | ||||
\(46\) | −5.52390 | + | 13.8639i | −0.814454 | + | 2.04413i | ||||
\(47\) | 0.235486 | − | 4.34329i | 0.0343492 | − | 0.633534i | −0.929782 | − | 0.368110i | \(-0.880005\pi\) |
0.964132 | − | 0.265425i | \(-0.0855121\pi\) | |||||||
\(48\) | −7.79708 | + | 1.68628i | −1.12541 | + | 0.243394i | ||||
\(49\) | 1.19362 | − | 0.402178i | 0.170518 | − | 0.0574540i | ||||
\(50\) | 3.73829 | + | 9.38241i | 0.528675 | + | 1.32687i | ||||
\(51\) | −1.61732 | − | 2.71049i | −0.226470 | − | 0.379544i | ||||
\(52\) | 18.0755 | − | 2.96333i | 2.50662 | − | 0.410939i | ||||
\(53\) | −0.628327 | + | 1.86481i | −0.0863074 | + | 0.256151i | −0.982112 | − | 0.188296i | \(-0.939703\pi\) |
0.895805 | + | 0.444448i | \(0.146600\pi\) | |||||||
\(54\) | −9.21882 | − | 8.92719i | −1.25452 | − | 1.21484i | ||||
\(55\) | −1.14478 | − | 1.90264i | −0.154362 | − | 0.256551i | ||||
\(56\) | 6.97103 | − | 10.2815i | 0.931544 | − | 1.37392i | ||||
\(57\) | −10.5225 | − | 0.0386289i | −1.39374 | − | 0.00511652i | ||||
\(58\) | 7.54038i | 0.990101i | ||||||||
\(59\) | 1.00544 | − | 7.61506i | 0.130897 | − | 0.991396i | ||||
\(60\) | −6.52141 | − | 1.83647i | −0.841911 | − | 0.237088i | ||||
\(61\) | 5.01281 | − | 1.39180i | 0.641824 | − | 0.178202i | 0.0686573 | − | 0.997640i | \(-0.478129\pi\) |
0.573167 | + | 0.819439i | \(0.305715\pi\) | |||||||
\(62\) | 19.4523 | + | 13.1890i | 2.47044 | + | 1.67500i | ||||
\(63\) | 7.18757 | + | 0.0527728i | 0.905549 | + | 0.00664875i | ||||
\(64\) | −0.364269 | − | 6.71854i | −0.0455336 | − | 0.839817i | ||||
\(65\) | 4.04045 | + | 1.36139i | 0.501156 | + | 0.168859i | ||||
\(66\) | −9.89183 | − | 1.11256i | −1.21760 | − | 0.136947i | ||||
\(67\) | 5.10185 | − | 5.38596i | 0.623290 | − | 0.658000i | −0.335524 | − | 0.942031i | \(-0.608914\pi\) |
0.958815 | + | 0.284032i | \(0.0916721\pi\) | |||||||
\(68\) | −6.93966 | + | 2.76501i | −0.841557 | + | 0.335307i | ||||
\(69\) | 0.528275 | + | 10.4532i | 0.0635969 | + | 1.25841i | ||||
\(70\) | 4.98847 | − | 2.64472i | 0.596236 | − | 0.316104i | ||||
\(71\) | 12.6256 | + | 0.684540i | 1.49838 | + | 0.0812400i | 0.784983 | − | 0.619517i | \(-0.212672\pi\) |
0.713400 | + | 0.700757i | \(0.247154\pi\) | |||||||
\(72\) | −12.4511 | + | 9.32163i | −1.46738 | + | 1.09856i | ||||
\(73\) | −4.73922 | − | 10.2437i | −0.554684 | − | 1.19893i | −0.958763 | − | 0.284206i | \(-0.908270\pi\) |
0.404079 | − | 0.914724i | \(-0.367592\pi\) | |||||||
\(74\) | −9.64398 | + | 16.0284i | −1.12109 | + | 1.86327i | ||||
\(75\) | 5.12446 | + | 4.88996i | 0.591722 | + | 0.564644i | ||||
\(76\) | −4.02906 | + | 24.5761i | −0.462164 | + | 2.81908i | ||||
\(77\) | 4.43856 | − | 3.37410i | 0.505821 | − | 0.384515i | ||||
\(78\) | 15.8593 | − | 10.6681i | 1.79571 | − | 1.20792i | ||||
\(79\) | −3.58394 | − | 5.28592i | −0.403225 | − | 0.594713i | 0.570817 | − | 0.821077i | \(-0.306626\pi\) |
−0.974043 | + | 0.226364i | \(0.927316\pi\) | |||||||
\(80\) | −1.84533 | + | 3.98861i | −0.206314 | + | 0.445941i | ||||
\(81\) | −8.48576 | − | 2.99864i | −0.942862 | − | 0.333182i | ||||
\(82\) | −8.59600 | + | 11.3078i | −0.949269 | + | 1.24874i | ||||
\(83\) | 13.7216 | − | 3.02036i | 1.50614 | − | 0.331527i | 0.616198 | − | 0.787592i | \(-0.288672\pi\) |
0.889947 | + | 0.456064i | \(0.150741\pi\) | |||||||
\(84\) | 2.81377 | − | 16.7772i | 0.307008 | − | 1.83055i | ||||
\(85\) | −1.72867 | − | 0.188004i | −0.187500 | − | 0.0203919i | ||||
\(86\) | 4.30590 | − | 19.5619i | 0.464318 | − | 2.10942i | ||||
\(87\) | 2.20285 | + | 4.80762i | 0.236171 | + | 0.515431i | ||||
\(88\) | −3.22769 | + | 11.6251i | −0.344073 | + | 1.23924i | ||||
\(89\) | −0.970051 | + | 3.49381i | −0.102825 | + | 0.370343i | −0.997002 | − | 0.0773702i | \(-0.975348\pi\) |
0.894177 | + | 0.447713i | \(0.147761\pi\) | |||||||
\(90\) | −6.98482 | + | 1.09250i | −0.736264 | + | 0.115160i | ||||
\(91\) | −2.30139 | + | 10.4553i | −0.241251 | + | 1.09602i | ||||
\(92\) | 24.6263 | + | 2.67827i | 2.56747 | + | 0.279229i | ||||
\(93\) | 16.2555 | + | 2.72627i | 1.68562 | + | 0.282701i | ||||
\(94\) | −10.4911 | + | 2.30927i | −1.08208 | + | 0.238183i | ||||
\(95\) | −3.50820 | + | 4.61496i | −0.359934 | + | 0.473485i | ||||
\(96\) | 0.810040 | + | 1.54155i | 0.0826744 | + | 0.157333i | ||||
\(97\) | −0.0787672 | + | 0.170253i | −0.00799760 | + | 0.0172865i | −0.911533 | − | 0.411227i | \(-0.865100\pi\) |
0.903535 | + | 0.428513i | \(0.140962\pi\) | |||||||
\(98\) | −1.74568 | − | 2.57469i | −0.176341 | − | 0.260083i | ||||
\(99\) | −6.63189 | + | 2.18046i | −0.666530 | + | 0.219144i | ||||
\(100\) | 13.3458 | − | 10.1452i | 1.33458 | − | 1.01452i | ||||
\(101\) | 0.219029 | − | 1.33602i | 0.0217942 | − | 0.132939i | −0.973688 | − | 0.227884i | \(-0.926819\pi\) |
0.995483 | + | 0.0949451i | \(0.0302676\pi\) | |||||||
\(102\) | −5.38145 | + | 5.63952i | −0.532843 | + | 0.558395i | ||||
\(103\) | −5.59170 | + | 9.29349i | −0.550967 | + | 0.915714i | 0.448789 | + | 0.893638i | \(0.351855\pi\) |
−0.999756 | + | 0.0220767i | \(0.992972\pi\) | |||||||
\(104\) | −9.72725 | − | 21.0251i | −0.953835 | − | 2.06168i | ||||
\(105\) | 2.40794 | − | 3.14357i | 0.234991 | − | 0.306781i | ||||
\(106\) | 4.85275 | + | 0.263108i | 0.471340 | + | 0.0255553i | ||||
\(107\) | −14.7391 | + | 7.81417i | −1.42488 | + | 0.755424i | −0.989460 | − | 0.144803i | \(-0.953745\pi\) |
−0.435420 | + | 0.900227i | \(0.643400\pi\) | |||||||
\(108\) | −10.1840 | + | 18.7083i | −0.979961 | + | 1.80021i | ||||
\(109\) | 0.697432 | − | 0.277882i | 0.0668019 | − | 0.0266163i | −0.336498 | − | 0.941684i | \(-0.609242\pi\) |
0.403300 | + | 0.915068i | \(0.367863\pi\) | |||||||
\(110\) | −3.77126 | + | 3.98127i | −0.359575 | + | 0.379599i | ||||
\(111\) | −1.46629 | + | 13.0369i | −0.139174 | + | 1.23740i | ||||
\(112\) | −10.4573 | − | 3.52347i | −0.988122 | − | 0.332937i | ||||
\(113\) | 0.781931 | + | 14.4219i | 0.0735579 | + | 1.35670i | 0.769522 | + | 0.638620i | \(0.220494\pi\) |
−0.695964 | + | 0.718076i | \(0.745023\pi\) | |||||||
\(114\) | 6.86040 | + | 25.0655i | 0.642536 | + | 2.34760i | ||||
\(115\) | 4.77255 | + | 3.23587i | 0.445043 | + | 0.301746i | ||||
\(116\) | 12.0597 | − | 3.34837i | 1.11972 | − | 0.310888i | ||||
\(117\) | 6.99503 | − | 11.4349i | 0.646691 | − | 1.05716i | ||||
\(118\) | −18.7855 | + | 2.63874i | −1.72935 | + | 0.242916i | ||||
\(119\) | − | 4.36612i | − | 0.400241i | ||||||
\(120\) | −0.0314564 | + | 8.56873i | −0.00287156 | + | 0.782214i | ||||
\(121\) | 3.13414 | − | 4.62252i | 0.284922 | − | 0.420229i | ||||
\(122\) | −6.62401 | − | 11.0092i | −0.599710 | − | 0.996725i | ||||
\(123\) | −2.17719 | + | 9.72094i | −0.196310 | + | 0.876507i | ||||
\(124\) | 12.4559 | − | 36.9678i | 1.11857 | − | 3.31981i | ||||
\(125\) | 8.55899 | − | 1.40317i | 0.765539 | − | 0.125504i | ||||
\(126\) | −4.62331 | − | 17.1388i | −0.411877 | − | 1.52685i | ||||
\(127\) | 0.266397 | + | 0.668605i | 0.0236389 | + | 0.0593291i | 0.940322 | − | 0.340285i | \(-0.110523\pi\) |
−0.916684 | + | 0.399614i | \(0.869144\pi\) | |||||||
\(128\) | −17.6527 | + | 5.94789i | −1.56029 | + | 0.525724i | ||||
\(129\) | −2.96946 | − | 13.7303i | −0.261446 | − | 1.20888i | ||||
\(130\) | 0.570073 | − | 10.5144i | 0.0499987 | − | 0.922172i | ||||
\(131\) | 4.77700 | − | 11.9894i | 0.417368 | − | 1.04752i | −0.558568 | − | 0.829459i | \(-0.688649\pi\) |
0.975936 | − | 0.218057i | \(-0.0699718\pi\) | |||||||
\(132\) | 2.61317 | + | 16.3146i | 0.227448 | + | 1.42000i | ||||
\(133\) | −12.4722 | − | 7.50428i | −1.08148 | − | 0.650704i | ||||
\(134\) | −16.1876 | − | 8.58211i | −1.39839 | − | 0.741382i | ||||
\(135\) | −4.13424 | + | 2.73711i | −0.355819 | + | 0.235573i | ||||
\(136\) | 5.71768 | + | 7.52148i | 0.490287 | + | 0.644962i | ||||
\(137\) | −10.8246 | − | 9.19447i | −0.924806 | − | 0.785537i | 0.0522252 | − | 0.998635i | \(-0.483369\pi\) |
−0.977031 | + | 0.213098i | \(0.931645\pi\) | |||||||
\(138\) | 24.5260 | − | 8.16362i | 2.08779 | − | 0.694934i | ||||
\(139\) | 16.8171 | + | 7.78043i | 1.42641 | + | 0.659927i | 0.972879 | − | 0.231314i | \(-0.0743024\pi\) |
0.453530 | + | 0.891241i | \(0.350164\pi\) | |||||||
\(140\) | −6.44502 | − | 6.80392i | −0.544703 | − | 0.575036i | ||||
\(141\) | −6.01434 | + | 4.53724i | −0.506499 | + | 0.382105i | ||||
\(142\) | −6.71288 | − | 30.4969i | −0.563332 | − | 2.55924i | ||||
\(143\) | −1.12421 | − | 10.3369i | −0.0940109 | − | 0.864416i | ||||
\(144\) | 10.9381 | + | 8.44232i | 0.911505 | + | 0.703527i | ||||
\(145\) | 2.84525 | + | 0.626287i | 0.236285 | + | 0.0520103i | ||||
\(146\) | −21.2452 | + | 18.0458i | −1.75826 | + | 1.49348i | ||||
\(147\) | −1.86519 | − | 1.13160i | −0.153838 | − | 0.0933324i | ||||
\(148\) | 29.9176 | + | 8.30658i | 2.45921 | + | 0.682797i | ||||
\(149\) | 5.42710 | + | 6.38928i | 0.444606 | + | 0.523430i | 0.938121 | − | 0.346307i | \(-0.112564\pi\) |
−0.493516 | + | 0.869737i | \(0.664288\pi\) | |||||||
\(150\) | 8.25066 | − | 15.4253i | 0.673664 | − | 1.25947i | ||||
\(151\) | −1.11378 | + | 10.2411i | −0.0906383 | + | 0.833406i | 0.857271 | + | 0.514865i | \(0.172158\pi\) |
−0.947909 | + | 0.318540i | \(0.896807\pi\) | |||||||
\(152\) | 31.3131 | − | 3.40550i | 2.53983 | − | 0.276223i | ||||
\(153\) | −1.78359 | + | 5.16780i | −0.144195 | + | 0.417792i | ||||
\(154\) | −10.9618 | − | 8.33295i | −0.883328 | − | 0.671488i | ||||
\(155\) | 6.59233 | − | 6.24459i | 0.529509 | − | 0.501578i | ||||
\(156\) | −24.1045 | − | 20.6274i | −1.92990 | − | 1.65151i | ||||
\(157\) | 0.795578 | − | 0.539415i | 0.0634940 | − | 0.0430500i | −0.529027 | − | 0.848605i | \(-0.677443\pi\) |
0.592521 | + | 0.805555i | \(0.298133\pi\) | |||||||
\(158\) | −10.2107 | + | 12.0210i | −0.812323 | + | 0.956341i | ||||
\(159\) | 3.17090 | − | 1.24993i | 0.251468 | − | 0.0991260i | ||||
\(160\) | 0.946726 | + | 0.155208i | 0.0748453 | + | 0.0122703i | ||||
\(161\) | −6.78171 | + | 12.7917i | −0.534473 | + | 1.00812i | ||||
\(162\) | −1.52912 | + | 22.1744i | −0.120139 | + | 1.74219i | ||||
\(163\) | −1.05094 | + | 0.486215i | −0.0823157 | + | 0.0380833i | −0.460615 | − | 0.887600i | \(-0.652371\pi\) |
0.378299 | + | 0.925683i | \(0.376509\pi\) | |||||||
\(164\) | 21.9024 | + | 8.72670i | 1.71029 | + | 0.681441i | ||||
\(165\) | −1.24140 | + | 3.64013i | −0.0966429 | + | 0.283384i | ||||
\(166\) | −16.2534 | − | 30.6572i | −1.26151 | − | 2.37946i | ||||
\(167\) | −0.695340 | − | 2.06370i | −0.0538071 | − | 0.159694i | 0.917380 | − | 0.398013i | \(-0.130300\pi\) |
−0.971187 | + | 0.238319i | \(0.923404\pi\) | |||||||
\(168\) | −21.3977 | + | 2.24769i | −1.65087 | + | 0.173413i | ||||
\(169\) | 5.05682 | + | 4.79008i | 0.388986 | + | 0.368467i | ||||
\(170\) | 0.694760 | + | 4.23785i | 0.0532857 | + | 0.325028i | ||||
\(171\) | 11.6967 | + | 13.9772i | 0.894472 | + | 1.06886i | ||||
\(172\) | −33.1985 | + | 1.79997i | −2.53136 | + | 0.137247i | ||||
\(173\) | −1.39762 | + | 0.840918i | −0.106259 | + | 0.0639338i | −0.567691 | − | 0.823242i | \(-0.692163\pi\) |
0.461432 | + | 0.887175i | \(0.347336\pi\) | |||||||
\(174\) | 9.98506 | − | 8.41848i | 0.756965 | − | 0.638203i | ||||
\(175\) | 2.62127 | + | 9.44096i | 0.198149 | + | 0.713670i | ||||
\(176\) | 10.7177 | 0.807879 | ||||||||
\(177\) | −11.2065 | + | 7.17044i | −0.842329 | + | 0.538963i | ||||
\(178\) | 8.95499 | 0.671205 | ||||||||
\(179\) | −6.53444 | − | 23.5349i | −0.488407 | − | 1.75908i | −0.637695 | − | 0.770289i | \(-0.720112\pi\) |
0.149289 | − | 0.988794i | \(-0.452302\pi\) | |||||||
\(180\) | 4.84897 | + | 10.6861i | 0.361421 | + | 0.796492i | ||||
\(181\) | −6.18025 | + | 3.71853i | −0.459374 | + | 0.276396i | −0.726373 | − | 0.687300i | \(-0.758796\pi\) |
0.266999 | + | 0.963697i | \(0.413968\pi\) | |||||||
\(182\) | 26.4006 | − | 1.43140i | 1.95694 | − | 0.106102i | ||||
\(183\) | −7.43959 | − | 5.08414i | −0.549951 | − | 0.375830i | ||||
\(184\) | −5.06861 | − | 30.9171i | −0.373663 | − | 2.27924i | ||||
\(185\) | 5.24708 | + | 4.97030i | 0.385773 | + | 0.365423i | ||||
\(186\) | −4.25256 | − | 40.4838i | −0.311813 | − | 2.96842i | ||||
\(187\) | 1.35403 | + | 4.01862i | 0.0990166 | + | 0.293871i | ||||
\(188\) | 8.35202 | + | 15.7536i | 0.609134 | + | 1.14895i | ||||
\(189\) | −7.95470 | − | 9.57678i | −0.578619 | − | 0.696608i | ||||
\(190\) | 13.2999 | + | 5.29918i | 0.964878 | + | 0.384443i | ||||
\(191\) | −13.7878 | + | 6.37891i | −0.997649 | + | 0.461562i | −0.849605 | − | 0.527419i | \(-0.823160\pi\) |
−0.148044 | + | 0.988981i | \(0.547298\pi\) | |||||||
\(192\) | −8.49007 | + | 7.98330i | −0.612718 | + | 0.576145i | ||||
\(193\) | −3.87484 | + | 7.30872i | −0.278917 | + | 0.526093i | −0.982904 | − | 0.184120i | \(-0.941057\pi\) |
0.703987 | + | 0.710213i | \(0.251401\pi\) | |||||||
\(194\) | 0.457185 | + | 0.0749517i | 0.0328240 | + | 0.00538122i | ||||
\(195\) | −2.70821 | − | 6.87033i | −0.193939 | − | 0.491995i | ||||
\(196\) | −3.34266 | + | 3.93528i | −0.238761 | + | 0.281091i | ||||
\(197\) | 5.63030 | − | 3.81744i | 0.401142 | − | 0.271981i | −0.343890 | − | 0.939010i | \(-0.611745\pi\) |
0.745032 | + | 0.667029i | \(0.232434\pi\) | |||||||
\(198\) | 9.57049 | + | 14.3410i | 0.680145 | + | 1.01917i | ||||
\(199\) | 16.5630 | − | 15.6893i | 1.17412 | − | 1.11219i | 0.182473 | − | 0.983211i | \(-0.441590\pi\) |
0.991648 | − | 0.128976i | \(-0.0411690\pi\) | |||||||
\(200\) | −16.8791 | − | 12.8312i | −1.19353 | − | 0.907301i | ||||
\(201\) | −12.8281 | − | 0.742761i | −0.904826 | − | 0.0523903i | ||||
\(202\) | −3.32398 | + | 0.361505i | −0.233875 | + | 0.0254354i | ||||
\(203\) | −0.790911 | + | 7.27231i | −0.0555111 | + | 0.510416i | ||||
\(204\) | 11.4093 | + | 6.10257i | 0.798808 | + | 0.427265i | ||||
\(205\) | 3.55288 | + | 4.18278i | 0.248144 | + | 0.292138i | ||||
\(206\) | 25.8098 | + | 7.16606i | 1.79825 | + | 0.499283i | ||||
\(207\) | 13.2524 | − | 12.3700i | 0.921107 | − | 0.859776i | ||||
\(208\) | −15.6850 | + | 13.3229i | −1.08756 | + | 0.923779i | ||||
\(209\) | 13.8068 | + | 3.03911i | 0.955037 | + | 0.210220i | ||||
\(210\) | −9.07156 | − | 3.65308i | −0.625997 | − | 0.252087i | ||||
\(211\) | 0.783194 | + | 7.20135i | 0.0539173 | + | 0.495762i | 0.989697 | + | 0.143177i | \(0.0457317\pi\) |
−0.935780 | + | 0.352585i | \(0.885303\pi\) | |||||||
\(212\) | −1.73410 | − | 7.87810i | −0.119098 | − | 0.541070i | ||||
\(213\) | −13.1894 | − | 17.4832i | −0.903723 | − | 1.19793i | ||||
\(214\) | 28.3333 | + | 29.9111i | 1.93682 | + | 2.04468i | ||||
\(215\) | −7.02376 | − | 3.24954i | −0.479017 | − | 0.221617i | ||||
\(216\) | 26.2448 | + | 6.08072i | 1.78574 | + | 0.413741i | ||||
\(217\) | 17.3773 | + | 14.7605i | 1.17965 | + | 1.00200i | ||||
\(218\) | −1.12206 | − | 1.47605i | −0.0759958 | − | 0.0999708i | ||||
\(219\) | −8.27365 | + | 17.7123i | −0.559082 | + | 1.19689i | ||||
\(220\) | 8.04212 | + | 4.26366i | 0.542199 | + | 0.287456i | ||||
\(221\) | −6.97702 | − | 4.19793i | −0.469325 | − | 0.282383i | ||||
\(222\) | 31.9920 | − | 5.12430i | 2.14716 | − | 0.343920i | ||||
\(223\) | 3.57300 | − | 8.96755i | 0.239266 | − | 0.600512i | −0.759483 | − | 0.650527i | \(-0.774548\pi\) |
0.998748 | + | 0.0500159i | \(0.0159272\pi\) | |||||||
\(224\) | −0.130414 | + | 2.40534i | −0.00871365 | + | 0.160714i | ||||
\(225\) | 0.754127 | − | 12.2453i | 0.0502752 | − | 0.816352i | ||||
\(226\) | 33.8025 | − | 11.3894i | 2.24851 | − | 0.757611i | ||||
\(227\) | 3.28663 | + | 8.24882i | 0.218141 | + | 0.547493i | 0.996798 | − | 0.0799564i | \(-0.0254781\pi\) |
−0.778657 | + | 0.627450i | \(0.784099\pi\) | |||||||
\(228\) | 37.0423 | − | 22.1028i | 2.45318 | − | 1.46379i | ||||
\(229\) | −12.8777 | + | 2.11119i | −0.850980 | + | 0.139511i | −0.571461 | − | 0.820629i | \(-0.693623\pi\) |
−0.279519 | + | 0.960140i | \(0.590175\pi\) | |||||||
\(230\) | 4.54700 | − | 13.4950i | 0.299820 | − | 0.889835i | ||||
\(231\) | −9.42346 | − | 2.11056i | −0.620018 | − | 0.138865i | ||||
\(232\) | −8.16101 | − | 13.5637i | −0.535797 | − | 0.890501i | ||||
\(233\) | −5.14162 | + | 7.58333i | −0.336839 | + | 0.496800i | −0.957955 | − | 0.286918i | \(-0.907369\pi\) |
0.621116 | + | 0.783719i | \(0.286680\pi\) | |||||||
\(234\) | −31.8329 | − | 9.09062i | −2.08098 | − | 0.594273i | ||||
\(235\) | 4.15048i | 0.270747i | ||||||||
\(236\) | 12.5622 | + | 28.8730i | 0.817726 | + | 1.87947i | ||||
\(237\) | −2.99837 | + | 10.6474i | −0.194765 | + | 0.691621i | ||||
\(238\) | −10.3899 | + | 2.88473i | −0.673475 | + | 0.186989i | ||||
\(239\) | −12.1863 | − | 8.26253i | −0.788267 | − | 0.534459i | 0.0993431 | − | 0.995053i | \(-0.468326\pi\) |
−0.887611 | + | 0.460595i | \(0.847636\pi\) | |||||||
\(240\) | 7.34199 | − | 2.00949i | 0.473923 | − | 0.129712i | ||||
\(241\) | 0.608708 | + | 11.2270i | 0.0392104 | + | 0.723193i | 0.950367 | + | 0.311132i | \(0.100708\pi\) |
−0.911156 | + | 0.412061i | \(0.864809\pi\) | |||||||
\(242\) | −13.0708 | − | 4.40405i | −0.840221 | − | 0.283103i | ||||
\(243\) | 5.50312 | + | 14.5848i | 0.353025 | + | 0.935614i | ||||
\(244\) | −14.6661 | + | 15.4829i | −0.938904 | + | 0.991189i | ||||
\(245\) | −1.11651 | + | 0.444860i | −0.0713315 | + | 0.0284211i | ||||
\(246\) | 24.5710 | − | 1.24175i | 1.56659 | − | 0.0791712i | ||||
\(247\) | −23.9835 | + | 12.7153i | −1.52604 | + | 0.809053i | ||||
\(248\) | −49.2655 | − | 2.67110i | −3.12836 | − | 0.169615i | ||||
\(249\) | −19.3191 | − | 14.7982i | −1.22430 | − | 0.937801i | ||||
\(250\) | −8.99407 | − | 19.4404i | −0.568835 | − | 1.22952i | ||||
\(251\) | 8.67193 | − | 14.4129i | 0.547367 | − | 0.909731i | −0.452472 | − | 0.891779i | \(-0.649458\pi\) |
0.999839 | − | 0.0179526i | \(-0.00571479\pi\) | |||||||
\(252\) | −25.3580 | + | 15.0050i | −1.59741 | + | 0.945223i | ||||
\(253\) | 2.27498 | − | 13.8767i | 0.143027 | − | 0.872424i | ||||
\(254\) | 1.41504 | − | 1.07569i | 0.0887876 | − | 0.0674946i | ||||
\(255\) | 1.68102 | + | 2.49902i | 0.105269 | + | 0.156494i | ||||
\(256\) | 18.2655 | + | 26.9395i | 1.14159 | + | 1.68372i | ||||
\(257\) | −6.71439 | + | 14.5129i | −0.418832 | + | 0.905290i | 0.577226 | + | 0.816584i | \(0.304135\pi\) |
−0.996058 | + | 0.0887058i | \(0.971727\pi\) | |||||||
\(258\) | −30.7114 | + | 16.1380i | −1.91201 | + | 1.00471i | ||||
\(259\) | −10.9823 | + | 14.4470i | −0.682409 | + | 0.897694i | ||||
\(260\) | −17.0694 | + | 3.75725i | −1.05860 | + | 0.233015i | ||||
\(261\) | 3.90693 | − | 8.28452i | 0.241833 | − | 0.512799i | ||||
\(262\) | −31.6868 | − | 3.44615i | −1.95762 | − | 0.212904i | ||||
\(263\) | −1.72329 | + | 7.82898i | −0.106262 | + | 0.482755i | 0.893190 | + | 0.449679i | \(0.148462\pi\) |
−0.999453 | + | 0.0330765i | \(0.989469\pi\) | |||||||
\(264\) | 18.9976 | − | 8.70472i | 1.16922 | − | 0.535738i | ||||
\(265\) | 0.502338 | − | 1.80926i | 0.0308584 | − | 0.111142i | ||||
\(266\) | −9.61712 | + | 34.6377i | −0.589664 | + | 2.12378i | ||||
\(267\) | 5.70956 | − | 2.61612i | 0.349419 | − | 0.160104i | ||||
\(268\) | −6.53760 | + | 29.7006i | −0.399348 | + | 1.81425i | ||||
\(269\) | −3.48316 | − | 0.378816i | −0.212372 | − | 0.0230968i | 0.00131459 | − | 0.999999i | \(-0.499582\pi\) |
−0.213686 | + | 0.976902i | \(0.568547\pi\) | |||||||
\(270\) | 9.24492 | + | 8.02964i | 0.562628 | + | 0.488669i | ||||
\(271\) | 23.3258 | − | 5.13439i | 1.41694 | − | 0.311892i | 0.560507 | − | 0.828150i | \(-0.310606\pi\) |
0.856433 | + | 0.516258i | \(0.172675\pi\) | |||||||
\(272\) | 5.07926 | − | 6.68165i | 0.307975 | − | 0.405135i | ||||
\(273\) | 16.4144 | − | 8.62534i | 0.993447 | − | 0.522029i | ||||
\(274\) | −14.7278 | + | 31.8337i | −0.889740 | + | 1.92314i | ||||
\(275\) | −5.34050 | − | 7.87666i | −0.322045 | − | 0.474980i | ||||
\(276\) | −23.9475 | − | 35.6006i | −1.44147 | − | 2.14290i | ||||
\(277\) | 7.51968 | − | 5.71631i | 0.451814 | − | 0.343460i | −0.354390 | − | 0.935098i | \(-0.615311\pi\) |
0.806204 | + | 0.591638i | \(0.201518\pi\) | |||||||
\(278\) | 7.40354 | − | 45.1596i | 0.444035 | − | 2.70849i | ||||
\(279\) | −14.5383 | − | 24.5695i | −0.870388 | − | 1.47094i | ||||
\(280\) | −6.11090 | + | 10.1564i | −0.365196 | + | 0.606961i | ||||
\(281\) | −3.44091 | − | 7.43741i | −0.205268 | − | 0.443679i | 0.777412 | − | 0.628992i | \(-0.216532\pi\) |
−0.982680 | + | 0.185313i | \(0.940670\pi\) | |||||||
\(282\) | 14.7708 | + | 11.3143i | 0.879589 | + | 0.673756i | ||||
\(283\) | 2.36440 | + | 0.128194i | 0.140549 | + | 0.00762033i | 0.124279 | − | 0.992247i | \(-0.460338\pi\) |
0.0162697 | + | 0.999868i | \(0.494821\pi\) | |||||||
\(284\) | −45.7944 | + | 24.2787i | −2.71740 | + | 1.44067i | ||||
\(285\) | 10.0279 | − | 0.506784i | 0.594003 | − | 0.0300193i | ||||
\(286\) | −23.8555 | + | 9.50491i | −1.41061 | + | 0.562037i | ||||
\(287\) | −9.47648 | + | 10.0042i | −0.559379 | + | 0.590529i | ||||
\(288\) | 1.13696 | − | 2.79373i | 0.0669960 | − | 0.164622i | ||||
\(289\) | −12.9631 | − | 4.36778i | −0.762536 | − | 0.256928i | ||||
\(290\) | −0.389533 | − | 7.18452i | −0.0228742 | − | 0.421890i | ||||
\(291\) | 0.313390 | − | 0.0857744i | 0.0183713 | − | 0.00502819i | ||||
\(292\) | 38.2957 | + | 25.9652i | 2.24109 | + | 1.51950i | ||||
\(293\) | 17.7368 | − | 4.92460i | 1.03620 | − | 0.287698i | 0.292534 | − | 0.956255i | \(-0.405501\pi\) |
0.743661 | + | 0.668557i | \(0.233088\pi\) | |||||||
\(294\) | −1.46046 | + | 5.18617i | −0.0851758 | + | 0.302464i | ||||
\(295\) | −0.564596 | + | 7.30761i | −0.0328720 | + | 0.425466i | ||||
\(296\) | − | 39.2698i | − | 2.28251i | ||||||
\(297\) | 10.2916 | + | 6.34765i | 0.597178 | + | 0.368328i | ||||
\(298\) | 11.6186 | − | 17.1361i | 0.673046 | − | 0.992668i | ||||
\(299\) | 13.9205 | + | 23.1360i | 0.805042 | + | 1.33799i | ||||
\(300\) | −28.3343 | − | 6.34600i | −1.63588 | − | 0.366386i | ||||
\(301\) | 6.20467 | − | 18.4148i | 0.357632 | − | 1.06141i | ||||
\(302\) | 25.1061 | − | 4.11594i | 1.44469 | − | 0.236846i | ||||
\(303\) | −2.01371 | + | 1.20156i | −0.115684 | + | 0.0690279i | ||||
\(304\) | −10.3568 | − | 25.9935i | −0.594001 | − | 1.49083i | ||||
\(305\) | −4.70433 | + | 1.58507i | −0.269369 | + | 0.0907611i | ||||
\(306\) | 13.4760 | + | 0.829924i | 0.770374 | + | 0.0474436i | ||||
\(307\) | 0.779228 | − | 14.3720i | 0.0444729 | − | 0.820254i | −0.888184 | − | 0.459489i | \(-0.848033\pi\) |
0.932656 | − | 0.360766i | \(-0.117485\pi\) | |||||||
\(308\) | −8.45965 | + | 21.2321i | −0.482034 | + | 1.20981i | ||||
\(309\) | 18.5494 | − | 2.97114i | 1.05524 | − | 0.169022i | ||||
\(310\) | −19.2156 | − | 11.5616i | −1.09137 | − | 0.656657i | ||||
\(311\) | 12.7806 | + | 6.77582i | 0.724719 | + | 0.384222i | 0.789560 | − | 0.613674i | \(-0.210309\pi\) |
−0.0648405 | + | 0.997896i | \(0.520654\pi\) | |||||||
\(312\) | −16.9817 | + | 36.3545i | −0.961397 | + | 2.05817i | ||||
\(313\) | 10.6700 | + | 14.0361i | 0.603102 | + | 0.793367i | 0.991773 | − | 0.128010i | \(-0.0408588\pi\) |
−0.388671 | + | 0.921377i | \(0.627066\pi\) | |||||||
\(314\) | −1.80927 | − | 1.53681i | −0.102103 | − | 0.0867271i | ||||
\(315\) | −6.85109 | + | 0.321025i | −0.386015 | + | 0.0180877i | ||||
\(316\) | 23.7600 | + | 10.9926i | 1.33661 | + | 0.618380i | ||||
\(317\) | −3.44956 | − | 3.64165i | −0.193746 | − | 0.204536i | 0.621883 | − | 0.783110i | \(-0.286368\pi\) |
−0.815630 | + | 0.578574i | \(0.803609\pi\) | |||||||
\(318\) | −5.06945 | − | 6.71981i | −0.284281 | − | 0.376828i | ||||
\(319\) | −1.52734 | − | 6.93880i | −0.0855149 | − | 0.388498i | ||||
\(320\) | 0.694155 | + | 6.38265i | 0.0388044 | + | 0.356801i | ||||
\(321\) | 26.8031 | + | 10.7935i | 1.49600 | + | 0.602435i | ||||
\(322\) | 34.9205 | + | 7.68658i | 1.94604 | + | 0.428357i | ||||
\(323\) | 8.43786 | − | 7.16718i | 0.469495 | − | 0.398793i | ||||
\(324\) | 36.1438 | − | 7.40115i | 2.00799 | − | 0.411175i | ||||
\(325\) | 17.6069 | + | 4.88852i | 0.976654 | + | 0.271167i | ||||
\(326\) | 1.85139 | + | 2.17962i | 0.102539 | + | 0.120718i | ||||
\(327\) | −1.14662 | − | 0.613305i | −0.0634085 | − | 0.0339158i | ||||
\(328\) | 3.22400 | − | 29.6442i | 0.178015 | − | 1.63682i | ||||
\(329\) | −10.3604 | + | 1.12676i | −0.571186 | + | 0.0621202i | ||||
\(330\) | 9.48247 | + | 0.549045i | 0.521993 | + | 0.0302239i | ||||
\(331\) | 0.0962364 | + | 0.0731570i | 0.00528963 | + | 0.00402107i | 0.607816 | − | 0.794078i | \(-0.292046\pi\) |
−0.602526 | + | 0.798099i | \(0.705839\pi\) | |||||||
\(332\) | −41.8143 | + | 39.6086i | −2.29486 | + | 2.17380i | ||||
\(333\) | 18.9006 | − | 12.6133i | 1.03575 | − | 0.691207i | ||||
\(334\) | −4.45148 | + | 3.01818i | −0.243574 | + | 0.165147i | ||||
\(335\) | −4.58284 | + | 5.39533i | −0.250387 | + | 0.294779i | ||||
\(336\) | 7.00925 | + | 17.7815i | 0.382386 | + | 0.970058i | ||||
\(337\) | −17.0008 | − | 2.78715i | −0.926095 | − | 0.151826i | −0.320182 | − | 0.947356i | \(-0.603744\pi\) |
−0.605913 | + | 0.795531i | \(0.707192\pi\) | |||||||
\(338\) | 8.05766 | − | 15.1984i | 0.438279 | − | 0.826682i | ||||
\(339\) | 18.2246 | − | 17.1368i | 0.989825 | − | 0.930742i | ||||
\(340\) | 6.46931 | − | 2.99302i | 0.350848 | − | 0.162319i | ||||
\(341\) | −20.5719 | − | 8.19658i | −1.11403 | − | 0.443870i | ||||
\(342\) | 25.5327 | − | 37.0691i | 1.38065 | − | 2.00447i | ||||
\(343\) | −9.26945 | − | 17.4840i | −0.500503 | − | 0.944050i | ||||
\(344\) | 13.4265 | + | 39.8485i | 0.723909 | + | 2.14848i | ||||
\(345\) | −1.04335 | − | 9.93256i | −0.0561721 | − | 0.534751i | ||||
\(346\) | 2.92452 | + | 2.77025i | 0.157223 | + | 0.148930i | ||||
\(347\) | −3.19040 | − | 19.4606i | −0.171270 | − | 1.04470i | −0.922879 | − | 0.385090i | \(-0.874170\pi\) |
0.751609 | − | 0.659609i | \(-0.229278\pi\) | |||||||
\(348\) | −17.8981 | − | 12.2313i | −0.959438 | − | 0.655669i | ||||
\(349\) | 9.17644 | − | 0.497532i | 0.491204 | − | 0.0266323i | 0.193126 | − | 0.981174i | \(-0.438137\pi\) |
0.298078 | + | 0.954542i | \(0.403655\pi\) | |||||||
\(350\) | 20.7344 | − | 12.4755i | 1.10830 | − | 0.666841i | ||||
\(351\) | −22.9519 | + | 3.50366i | −1.22508 | + | 0.187012i | ||||
\(352\) | −0.625917 | − | 2.25435i | −0.0333615 | − | 0.120157i | ||||
\(353\) | 37.0603 | 1.97252 | 0.986261 | − | 0.165194i | \(-0.0528252\pi\) | ||||
0.986261 | + | 0.165194i | \(0.0528252\pi\) | |||||||
\(354\) | 24.4674 | + | 21.9300i | 1.30043 | + | 1.16557i | ||||
\(355\) | −12.0651 | −0.640350 | ||||||||
\(356\) | −3.97654 | − | 14.3222i | −0.210756 | − | 0.759075i | ||||
\(357\) | −5.78166 | + | 4.87456i | −0.305998 | + | 0.257989i | ||||
\(358\) | −51.6877 | + | 31.0995i | −2.73178 | + | 1.64366i | ||||
\(359\) | 17.6446 | − | 0.956660i | 0.931244 | − | 0.0504906i | 0.417730 | − | 0.908571i | \(-0.362826\pi\) |
0.513515 | + | 0.858081i | \(0.328343\pi\) | |||||||
\(360\) | 11.3819 | − | 9.52492i | 0.599880 | − | 0.502007i | ||||
\(361\) | −2.89725 | − | 17.6724i | −0.152487 | − | 0.930128i | ||||
\(362\) | 12.9322 | + | 12.2500i | 0.679700 | + | 0.643846i | ||||
\(363\) | −9.62031 | + | 1.01055i | −0.504935 | + | 0.0530402i | ||||
\(364\) | −14.0127 | − | 41.5883i | −0.734467 | − | 2.17982i | ||||
\(365\) | 5.04474 | + | 9.51540i | 0.264054 | + | 0.498059i | ||||
\(366\) | −7.18310 | + | 21.0628i | −0.375467 | + | 1.10097i | ||||
\(367\) | −25.8604 | − | 10.3037i | −1.34990 | − | 0.537851i | −0.420627 | − | 0.907234i | \(-0.638190\pi\) |
−0.929277 | + | 0.369383i | \(0.879569\pi\) | |||||||
\(368\) | −25.2593 | + | 11.6862i | −1.31673 | + | 0.609186i | ||||
\(369\) | 15.3033 | − | 7.96991i | 0.796658 | − | 0.414897i | ||||
\(370\) | 8.36082 | − | 15.7702i | 0.434658 | − | 0.819852i | ||||
\(371\) | 4.65263 | + | 0.762760i | 0.241552 | + | 0.0396005i | ||||
\(372\) | −62.8596 | + | 24.7785i | −3.25912 | + | 1.28471i | ||||
\(373\) | 12.8263 | − | 15.1003i | 0.664120 | − | 0.781862i | −0.322206 | − | 0.946670i | \(-0.604424\pi\) |
0.986326 | + | 0.164807i | \(0.0527003\pi\) | |||||||
\(374\) | 8.66833 | − | 5.87727i | 0.448229 | − | 0.303907i | ||||
\(375\) | −11.4138 | − | 9.76733i | −0.589406 | − | 0.504383i | ||||
\(376\) | 16.3722 | − | 15.5086i | 0.844332 | − | 0.799794i | ||||
\(377\) | 10.8606 | + | 8.25605i | 0.559352 | + | 0.425208i | ||||
\(378\) | −17.5337 | + | 25.2569i | −0.901837 | + | 1.29908i | ||||
\(379\) | 27.5967 | − | 3.00132i | 1.41755 | − | 0.154168i | 0.632959 | − | 0.774185i | \(-0.281840\pi\) |
0.784588 | + | 0.620018i | \(0.212875\pi\) | |||||||
\(380\) | 2.56931 | − | 23.6244i | 0.131803 | − | 1.21191i | ||||
\(381\) | 0.587955 | − | 1.09923i | 0.0301219 | − | 0.0563153i | ||||
\(382\) | 24.2893 | + | 28.5956i | 1.24275 | + | 1.46308i | ||||
\(383\) | 15.5632 | + | 4.32109i | 0.795240 | + | 0.220797i | 0.641307 | − | 0.767284i | \(-0.278392\pi\) |
0.153933 | + | 0.988081i | \(0.450806\pi\) | |||||||
\(384\) | 27.5847 | + | 16.7354i | 1.40767 | + | 0.854023i | ||||
\(385\) | −4.05478 | + | 3.44416i | −0.206651 | + | 0.175531i | ||||
\(386\) | 19.9524 | + | 4.39185i | 1.01555 | + | 0.223539i | ||||
\(387\) | −14.8665 | + | 19.2614i | −0.755709 | + | 0.979112i | ||||
\(388\) | −0.0831426 | − | 0.764484i | −0.00422093 | − | 0.0388108i | ||||
\(389\) | 4.41939 | + | 20.0775i | 0.224072 | + | 1.01797i | 0.945536 | + | 0.325517i | \(0.105538\pi\) |
−0.721464 | + | 0.692452i | \(0.756531\pi\) | |||||||
\(390\) | −14.5597 | + | 10.9839i | −0.737260 | + | 0.556191i | ||||
\(391\) | −7.57291 | − | 7.99463i | −0.382979 | − | 0.404306i | ||||
\(392\) | 5.92676 | + | 2.74201i | 0.299346 | + | 0.138492i | ||||
\(393\) | −21.2097 | + | 7.05980i | −1.06989 | + | 0.356120i | ||||
\(394\) | −12.8042 | − | 10.8760i | −0.645066 | − | 0.547924i | ||||
\(395\) | 3.68787 | + | 4.85131i | 0.185557 | + | 0.244096i | ||||
\(396\) | 18.6865 | − | 21.6748i | 0.939030 | − | 1.08920i | ||||
\(397\) | 0.875760 | + | 0.464299i | 0.0439531 | + | 0.0233025i | 0.490240 | − | 0.871587i | \(-0.336909\pi\) |
−0.446287 | + | 0.894890i | \(0.647254\pi\) | |||||||
\(398\) | −48.2786 | − | 29.0482i | −2.41999 | − | 1.45606i | ||||
\(399\) | 3.98738 | + | 24.8940i | 0.199619 | + | 1.24626i | ||||
\(400\) | −6.97157 | + | 17.4973i | −0.348579 | + | 0.874866i | ||||
\(401\) | −0.892082 | + | 16.4535i | −0.0445485 | + | 0.821648i | 0.887832 | + | 0.460169i | \(0.152211\pi\) |
−0.932380 | + | 0.361480i | \(0.882272\pi\) | |||||||
\(402\) | 6.70813 | + | 31.0173i | 0.334571 | + | 1.54700i | ||||
\(403\) | 40.2950 | − | 13.5770i | 2.00724 | − | 0.676317i | ||||
\(404\) | 2.05422 | + | 5.15570i | 0.102201 | + | 0.256506i | ||||
\(405\) | 8.24019 | + | 2.41875i | 0.409459 | + | 0.120189i | ||||
\(406\) | 17.8282 | − | 2.92278i | 0.884798 | − | 0.145055i | ||||
\(407\) | 5.62792 | − | 16.7031i | 0.278966 | − | 0.827941i | ||||
\(408\) | 3.57651 | − | 15.9688i | 0.177064 | − | 0.790573i | ||||
\(409\) | −6.34977 | − | 10.5534i | −0.313976 | − | 0.521832i | 0.659178 | − | 0.751987i | \(-0.270904\pi\) |
−0.973154 | + | 0.230155i | \(0.926077\pi\) | |||||||
\(410\) | 7.60616 | − | 11.2182i | 0.375642 | − | 0.554030i | ||||
\(411\) | −0.0903053 | + | 24.5992i | −0.00445443 | + | 1.21339i | ||||
\(412\) | − | 44.4612i | − | 2.19044i | ||||||
\(413\) | −18.3945 | + | 0.574510i | −0.905132 | + | 0.0282698i | ||||
\(414\) | −38.1924 | − | 23.3632i | −1.87705 | − | 1.14824i | ||||
\(415\) | −12.9180 | + | 3.58667i | −0.634121 | + | 0.176063i | ||||
\(416\) | 3.71833 | + | 2.52109i | 0.182306 | + | 0.123607i | ||||
\(417\) | −8.47258 | − | 30.9559i | −0.414904 | − | 1.51592i | ||||
\(418\) | −1.89024 | − | 34.8635i | −0.0924548 | − | 1.70523i | ||||
\(419\) | 3.93646 | + | 1.32635i | 0.192309 | + | 0.0647964i | 0.413808 | − | 0.910364i | \(-0.364198\pi\) |
−0.221499 | + | 0.975161i | \(0.571095\pi\) | |||||||
\(420\) | −1.81427 | + | 16.1308i | −0.0885275 | + | 0.787103i | ||||
\(421\) | −19.2099 | + | 20.2796i | −0.936233 | + | 0.988369i | −0.999954 | − | 0.00959865i | \(-0.996945\pi\) |
0.0637210 | + | 0.997968i | \(0.479703\pi\) | |||||||
\(422\) | 16.6193 | − | 6.62173i | 0.809015 | − | 0.322341i | ||||
\(423\) | 12.7230 | + | 2.89864i | 0.618613 | + | 0.140937i | ||||
\(424\) | −9.01393 | + | 4.77888i | −0.437755 | + | 0.232083i | ||||
\(425\) | −7.44140 | − | 0.403461i | −0.360961 | − | 0.0195707i | ||||
\(426\) | −32.8897 | + | 42.9376i | −1.59351 | + | 2.08033i | ||||
\(427\) | −5.23376 | − | 11.3126i | −0.253279 | − | 0.547455i | ||||
\(428\) | 35.2568 | − | 58.5972i | 1.70420 | − | 2.83240i | ||||
\(429\) | −12.4331 | + | 13.0293i | −0.600277 | + | 0.629063i | ||||
\(430\) | −3.09213 | + | 18.8612i | −0.149116 | + | 0.909566i | ||||
\(431\) | −23.2497 | + | 17.6739i | −1.11990 | + | 0.851324i | −0.990121 | − | 0.140219i | \(-0.955219\pi\) |
−0.129777 | + | 0.991543i | \(0.541426\pi\) | |||||||
\(432\) | −1.03240 | − | 23.9097i | −0.0496714 | − | 1.15036i | ||||
\(433\) | −3.48730 | − | 5.14339i | −0.167589 | − | 0.247176i | 0.734616 | − | 0.678484i | \(-0.237363\pi\) |
−0.902205 | + | 0.431308i | \(0.858052\pi\) | |||||||
\(434\) | 23.6435 | − | 51.1045i | 1.13492 | − | 2.45309i | ||||
\(435\) | −2.34725 | − | 4.46693i | −0.112542 | − | 0.214173i | ||||
\(436\) | −1.86247 | + | 2.45003i | −0.0891959 | + | 0.117335i | ||||
\(437\) | −35.8533 | + | 7.89192i | −1.71510 | + | 0.377522i | ||||
\(438\) | 47.6157 | + | 7.98580i | 2.27516 | + | 0.381576i | ||||
\(439\) | −19.4510 | − | 2.11542i | −0.928344 | − | 0.100964i | −0.368562 | − | 0.929603i | \(-0.620150\pi\) |
−0.559782 | + | 0.828640i | \(0.689115\pi\) | |||||||
\(440\) | 2.47482 | − | 11.2432i | 0.117982 | − | 0.535998i | ||||
\(441\) | 0.583927 | + | 3.73328i | 0.0278060 | + | 0.177775i | ||||
\(442\) | −5.37987 | + | 19.3765i | −0.255894 | + | 0.921647i | ||||
\(443\) | 2.07366 | − | 7.46867i | 0.0985228 | − | 0.354847i | −0.897813 | − | 0.440377i | \(-0.854845\pi\) |
0.996336 | + | 0.0855304i | \(0.0272585\pi\) | |||||||
\(444\) | −22.4019 | − | 48.8911i | −1.06315 | − | 2.32027i | ||||
\(445\) | 0.743782 | − | 3.37903i | 0.0352586 | − | 0.160182i | ||||
\(446\) | −23.7004 | − | 2.57758i | −1.12225 | − | 0.122052i | ||||
\(447\) | 2.40165 | − | 14.3200i | 0.113594 | − | 0.677311i | ||||
\(448\) | −15.7438 | + | 3.46548i | −0.743827 | + | 0.163729i | ||||
\(449\) | −20.1188 | + | 26.4658i | −0.949464 | + | 1.24900i | 0.0189941 | + | 0.999820i | \(0.493954\pi\) |
−0.968458 | + | 0.249178i | \(0.919839\pi\) | |||||||
\(450\) | −29.6378 | + | 6.29600i | −1.39714 | + | 0.296796i | ||||
\(451\) | 5.61973 | − | 12.1468i | 0.264623 | − | 0.571973i | ||||
\(452\) | −33.2260 | − | 49.0046i | −1.56282 | − | 2.30498i | ||||
\(453\) | 14.8048 | − | 9.95877i | 0.695590 | − | 0.467904i | ||||
\(454\) | 17.4579 | − | 13.2711i | 0.819338 | − | 0.622845i | ||||
\(455\) | 1.65266 | − | 10.0808i | 0.0774779 | − | 0.472594i | ||||
\(456\) | −39.4692 | − | 37.6630i | −1.84831 | − | 1.76373i | ||||
\(457\) | −6.36529 | + | 10.5792i | −0.297756 | + | 0.494874i | −0.969231 | − | 0.246153i | \(-0.920833\pi\) |
0.671475 | + | 0.741027i | \(0.265661\pi\) | |||||||
\(458\) | 13.5323 | + | 29.2496i | 0.632322 | + | 1.36674i | ||||
\(459\) | 8.83455 | − | 3.40775i | 0.412362 | − | 0.159060i | ||||
\(460\) | −23.6024 | − | 1.27969i | −1.10047 | − | 0.0596657i | ||||
\(461\) | 27.0372 | − | 14.3342i | 1.25925 | − | 0.667611i | 0.301021 | − | 0.953618i | \(-0.402673\pi\) |
0.958228 | + | 0.286006i | \(0.0923277\pi\) | |||||||
\(462\) | 1.20375 | + | 23.8191i | 0.0560036 | + | 1.10816i | ||||
\(463\) | 14.6737 | − | 5.84655i | 0.681946 | − | 0.271712i | −0.00333123 | − | 0.999994i | \(-0.501060\pi\) |
0.685277 | + | 0.728282i | \(0.259681\pi\) | |||||||
\(464\) | −9.67051 | + | 10.2090i | −0.448942 | + | 0.473942i | ||||
\(465\) | −15.6292 | − | 1.75785i | −0.724786 | − | 0.0815185i | ||||
\(466\) | 21.4428 | + | 7.22493i | 0.993320 | + | 0.334689i | ||||
\(467\) | −0.416549 | − | 7.68279i | −0.0192756 | − | 0.355517i | −0.992222 | − | 0.124485i | \(-0.960272\pi\) |
0.972946 | − | 0.231033i | \(-0.0742105\pi\) | |||||||
\(468\) | −0.403447 | + | 54.9489i | −0.0186494 | + | 2.54001i | ||||
\(469\) | −14.7119 | − | 9.97492i | −0.679333 | − | 0.460599i | ||||
\(470\) | 9.87672 | − | 2.74226i | 0.455579 | − | 0.126491i | ||||
\(471\) | −1.60252 | − | 0.451282i | −0.0738404 | − | 0.0207940i | ||||
\(472\) | 30.9357 | − | 25.0783i | 1.42393 | − | 1.15432i | ||||
\(473\) | 18.8734i | 0.867801i | ||||||||
\(474\) | 27.3182 | + | 0.100287i | 1.25477 | + | 0.00460633i | ||||
\(475\) | −13.9425 | + | 20.5636i | −0.639724 | + | 0.943522i | ||||
\(476\) | 9.22742 | + | 15.3361i | 0.422938 | + | 0.702928i | ||||
\(477\) | −5.19533 | − | 2.80345i | −0.237878 | − | 0.128361i | ||||
\(478\) | −11.6104 | + | 34.4584i | −0.531047 | + | 1.57609i | ||||
\(479\) | −31.2161 | + | 5.11761i | −1.42630 | + | 0.233830i | −0.824972 | − | 0.565174i | \(-0.808809\pi\) |
−0.601326 | + | 0.799004i | \(0.705361\pi\) | |||||||
\(480\) | −0.851447 | − | 1.42695i | −0.0388631 | − | 0.0651310i | ||||
\(481\) | 12.5269 | + | 31.4402i | 0.571178 | + | 1.43355i | ||||
\(482\) | 26.3142 | − | 8.86628i | 1.19858 | − | 0.403848i | ||||
\(483\) | 24.5103 | − | 5.30086i | 1.11526 | − | 0.241198i | ||||
\(484\) | −1.23946 | + | 22.8604i | −0.0563390 | + | 1.03911i | ||||
\(485\) | 0.0662547 | − | 0.166287i | 0.00300847 | − | 0.00755069i | ||||
\(486\) | 31.0708 | − | 22.7318i | 1.40940 | − | 1.03114i | ||||
\(487\) | −20.3541 | − | 12.2466i | −0.922331 | − | 0.554948i | −0.0266498 | − | 0.999645i | \(-0.508484\pi\) |
−0.895681 | + | 0.444697i | \(0.853311\pi\) | |||||||
\(488\) | 23.8307 | + | 12.6342i | 1.07876 | + | 0.571924i | ||||
\(489\) | 1.81717 | + | 0.848826i | 0.0821753 | + | 0.0383852i | ||||
\(490\) | 1.79631 | + | 2.36300i | 0.0811488 | + | 0.106749i | ||||
\(491\) | −27.2005 | − | 23.1043i | −1.22754 | − | 1.04268i | −0.997583 | − | 0.0694843i | \(-0.977865\pi\) |
−0.229960 | − | 0.973200i | \(-0.573860\pi\) | |||||||
\(492\) | −12.8970 | − | 38.7463i | −0.581440 | − | 1.74682i | ||||
\(493\) | −5.04962 | − | 2.33620i | −0.227423 | − | 0.105217i | ||||
\(494\) | 46.1041 | + | 48.6716i | 2.07432 | + | 2.18984i | ||||
\(495\) | 6.20626 | − | 2.42015i | 0.278951 | − | 0.108778i | ||||
\(496\) | 9.42193 | + | 42.8042i | 0.423057 | + | 1.92197i | ||||
\(497\) | −3.27540 | − | 30.1168i | −0.146922 | − | 1.35092i | ||||
\(498\) | −22.4504 | + | 55.7503i | −1.00603 | + | 2.49823i | ||||
\(499\) | 24.5584 | + | 5.40572i | 1.09939 | + | 0.241993i | 0.727378 | − | 0.686237i | \(-0.240738\pi\) |
0.372008 | + | 0.928230i | \(0.378670\pi\) | |||||||
\(500\) | −27.0981 | + | 23.0174i | −1.21187 | + | 1.02937i | ||||
\(501\) | −1.95646 | + | 3.22480i | −0.0874080 | + | 0.144073i | ||||
\(502\) | −40.0273 | − | 11.1135i | −1.78651 | − | 0.496021i | ||||
\(503\) | 10.3669 | + | 12.2049i | 0.462239 | + | 0.544190i | 0.943057 | − | 0.332630i | \(-0.107936\pi\) |
−0.480818 | + | 0.876820i | \(0.659660\pi\) | |||||||
\(504\) | 26.8659 | + | 25.8256i | 1.19670 | + | 1.15037i | ||||
\(505\) | −0.139674 | + | 1.28428i | −0.00621542 | + | 0.0571498i | ||||
\(506\) | −34.5250 | + | 3.75482i | −1.53482 | + | 0.166922i | ||||
\(507\) | 0.697371 | − | 12.0442i | 0.0309713 | − | 0.534901i | ||||
\(508\) | −2.34877 | − | 1.78548i | −0.104210 | − | 0.0792181i | ||||
\(509\) | −17.0726 | + | 16.1721i | −0.756731 | + | 0.716814i | −0.965286 | − | 0.261197i | \(-0.915883\pi\) |
0.208554 | + | 0.978011i | \(0.433124\pi\) | |||||||
\(510\) | 4.83614 | − | 5.65137i | 0.214148 | − | 0.250247i | ||||
\(511\) | −22.3827 | + | 15.1758i | −0.990152 | + | 0.671340i | ||||
\(512\) | 27.9199 | − | 32.8699i | 1.23390 | − | 1.45266i | ||||
\(513\) | 5.44986 | − | 31.0938i | 0.240617 | − | 1.37282i | ||||
\(514\) | 38.9720 | + | 6.38914i | 1.71898 | + | 0.281813i | ||||
\(515\) | 4.84771 | − | 9.14375i | 0.213616 | − | 0.402922i | ||||
\(516\) | 39.4481 | + | 41.9522i | 1.73661 | + | 1.84684i | ||||
\(517\) | 9.18638 | − | 4.25007i | 0.404016 | − | 0.186918i | ||||
\(518\) | 41.6351 | + | 16.5889i | 1.82934 | + | 0.728876i | ||||
\(519\) | 2.67393 | + | 0.911895i | 0.117372 | + | 0.0400277i | ||||
\(520\) | 10.3543 | + | 19.5303i | 0.454067 | + | 0.856462i | ||||
\(521\) | −5.55522 | − | 16.4873i | −0.243378 | − | 0.722322i | −0.997822 | − | 0.0659571i | \(-0.978990\pi\) |
0.754444 | − | 0.656364i | \(-0.227907\pi\) | |||||||
\(522\) | −22.2957 | − | 3.82349i | −0.975855 | − | 0.167350i | ||||
\(523\) | −13.3215 | − | 12.6188i | −0.582507 | − | 0.551780i | 0.338679 | − | 0.940902i | \(-0.390020\pi\) |
−0.921186 | + | 0.389122i | \(0.872778\pi\) | |||||||
\(524\) | 8.55918 | + | 52.2087i | 0.373910 | + | 2.28075i | ||||
\(525\) | 9.57530 | − | 14.0115i | 0.417900 | − | 0.611512i | ||||
\(526\) | 19.7689 | − | 1.07184i | 0.861964 | − | 0.0467343i | ||||
\(527\) | −14.8592 | + | 8.94047i | −0.647276 | + | 0.389453i | ||||
\(528\) | −11.9658 | − | 14.1925i | −0.520746 | − | 0.617651i | ||||
\(529\) | 3.61591 | + | 13.0233i | 0.157214 | + | 0.566232i | ||||
\(530\) | −4.63732 | −0.201432 | ||||||||
\(531\) | 22.0067 | + | 6.83427i | 0.955007 | + | 0.296582i | ||||
\(532\) | 59.6686 | 2.58696 | ||||||||
\(533\) | 6.87518 | + | 24.7622i | 0.297797 | + | 1.07257i | ||||
\(534\) | −9.99782 | − | 11.8583i | −0.432648 | − | 0.513159i | ||||
\(535\) | 13.6398 | − | 8.20680i | 0.589700 | − | 0.354811i | ||||
\(536\) | 38.4068 | − | 2.08236i | 1.65892 | − | 0.0899442i | ||||
\(537\) | −23.8698 | + | 34.9286i | −1.03006 | + | 1.50728i | ||||
\(538\) | 1.39990 | + | 8.53901i | 0.0603540 | + | 0.368143i | ||||
\(539\) | 2.12793 | + | 2.01568i | 0.0916563 | + | 0.0868215i | ||||
\(540\) | 8.73696 | − | 18.3515i | 0.375979 | − | 0.789724i | ||||
\(541\) | 12.5980 | + | 37.3896i | 0.541631 | + | 1.60750i | 0.772841 | + | 0.634600i | \(0.218835\pi\) |
−0.231210 | + | 0.972904i | \(0.574268\pi\) | |||||||
\(542\) | −27.6296 | − | 52.1150i | −1.18679 | − | 2.23853i | ||||
\(543\) | 11.8241 | + | 4.03239i | 0.507420 | + | 0.173046i | ||||
\(544\) | −1.70204 | − | 0.678154i | −0.0729743 | − | 0.0290756i | ||||
\(545\) | −0.650162 | + | 0.300797i | −0.0278499 | + | 0.0128847i | ||||
\(546\) | −31.3705 | − | 33.3619i | −1.34253 | − | 1.42776i | ||||
\(547\) | 1.76711 | − | 3.33313i | 0.0755563 | − | 0.142514i | −0.842856 | − | 0.538140i | \(-0.819127\pi\) |
0.918412 | + | 0.395625i | \(0.129472\pi\) | |||||||
\(548\) | 57.4533 | + | 9.41899i | 2.45428 | + | 0.402359i | ||||
\(549\) | 1.57348 | + | 15.5278i | 0.0671546 | + | 0.662710i | ||||
\(550\) | −15.2152 | + | 17.9128i | −0.648780 | + | 0.763802i | ||||
\(551\) | −15.3526 | + | 10.4093i | −0.654044 | + | 0.443453i | ||||
\(552\) | −35.2819 | + | 41.2294i | −1.50170 | + | 1.75484i | ||||
\(553\) | −11.1086 | + | 10.5226i | −0.472387 | + | 0.447468i | ||||
\(554\) | −18.5712 | − | 14.1175i | −0.789014 | − | 0.599793i | ||||
\(555\) | 0.723609 | − | 12.4973i | 0.0307155 | − | 0.530482i | ||||
\(556\) | −75.5138 | + | 8.21262i | −3.20250 | + | 0.348293i | ||||
\(557\) | 1.86681 | − | 17.1651i | 0.0790994 | − | 0.727307i | −0.885689 | − | 0.464279i | \(-0.846313\pi\) |
0.964788 | − | 0.263028i | \(-0.0847211\pi\) | |||||||
\(558\) | −48.8613 | + | 50.8295i | −2.06847 | + | 2.15179i | ||||
\(559\) | −23.4610 | − | 27.6205i | −0.992297 | − | 1.16822i | ||||
\(560\) | 10.1458 | + | 2.81697i | 0.428738 | + | 0.119039i | ||||
\(561\) | 3.80979 | − | 6.27963i | 0.160850 | − | 0.265126i | ||||
\(562\) | −15.4251 | + | 13.1022i | −0.650667 | + | 0.552681i | ||||
\(563\) | −20.3244 | − | 4.47374i | −0.856572 | − | 0.188546i | −0.235089 | − | 0.971974i | \(-0.575538\pi\) |
−0.621483 | + | 0.783428i | \(0.713469\pi\) | |||||||
\(564\) | 11.5364 | − | 28.6480i | 0.485772 | − | 1.20630i | ||||
\(565\) | −1.49006 | − | 13.7009i | −0.0626872 | − | 0.576399i | ||||
\(566\) | −1.25712 | − | 5.71116i | −0.0528407 | − | 0.240058i | ||||
\(567\) | −3.80063 | + | 21.2257i | −0.159612 | + | 0.891396i | ||||
\(568\) | 45.0822 | + | 47.5927i | 1.89161 | + | 1.99694i | ||||
\(569\) | 26.8708 | + | 12.4318i | 1.12648 | + | 0.521167i | 0.892488 | − | 0.451071i | \(-0.148958\pi\) |
0.233996 | + | 0.972238i | \(0.424820\pi\) | |||||||
\(570\) | −7.83151 | − | 23.5282i | −0.328026 | − | 0.985487i | ||||
\(571\) | −5.25543 | − | 4.46400i | −0.219933 | − | 0.186813i | 0.530646 | − | 0.847594i | \(-0.321949\pi\) |
−0.750579 | + | 0.660781i | \(0.770225\pi\) | |||||||
\(572\) | 25.7950 | + | 33.9327i | 1.07854 | + | 1.41880i | ||||
\(573\) | 23.8404 | + | 11.1362i | 0.995948 | + | 0.465221i | ||||
\(574\) | 30.0678 | + | 15.9409i | 1.25500 | + | 0.665361i | ||||
\(575\) | 21.1748 | + | 12.7405i | 0.883050 | + | 0.531314i | ||||
\(576\) | 20.0503 | + | 2.32968i | 0.835431 | + | 0.0970700i | ||||
\(577\) | 9.82847 | − | 24.6676i | 0.409165 | − | 1.02693i | −0.569597 | − | 0.821924i | \(-0.692901\pi\) |
0.978762 | − | 0.205002i | \(-0.0657199\pi\) | |||||||
\(578\) | −1.82898 | + | 33.7336i | −0.0760757 | + | 1.40313i | ||||
\(579\) | 14.0044 | − | 3.02873i | 0.582001 | − | 0.125870i | ||||
\(580\) | −11.3176 | + | 3.81335i | −0.469939 | + | 0.158341i | ||||
\(581\) | −12.4600 | − | 31.2721i | −0.516926 | − | 1.29739i | ||||
\(582\) | −0.411173 | − | 0.689089i | −0.0170437 | − | 0.0285637i | ||||
\(583\) | −4.51888 | + | 0.740833i | −0.187153 | + | 0.0306822i | ||||
\(584\) | 18.6849 | − | 55.4547i | 0.773186 | − | 2.29473i | ||||
\(585\) | −6.07419 | + | 11.2566i | −0.251137 | + | 0.465405i | ||||
\(586\) | −23.4377 | − | 38.9538i | −0.968204 | − | 1.60917i | ||||
\(587\) | −3.22116 | + | 4.75085i | −0.132951 | + | 0.196089i | −0.888337 | − | 0.459192i | \(-0.848139\pi\) |
0.755386 | + | 0.655280i | \(0.227449\pi\) | |||||||
\(588\) | 8.94306 | + | 0.0328306i | 0.368806 | + | 0.00135391i | ||||
\(589\) | 57.8130i | 2.38214i | ||||||||
\(590\) | 17.7627 | − | 3.48466i | 0.731277 | − | 0.143461i | ||||
\(591\) | −11.3411 | − | 3.19372i | −0.466509 | − | 0.131372i | ||||
\(592\) | −33.6135 | + | 9.33274i | −1.38151 | + | 0.383573i | ||||
\(593\) | −7.94006 | − | 5.38349i | −0.326059 | − | 0.221074i | 0.387164 | − | 0.922011i | \(-0.373455\pi\) |
−0.713223 | + | 0.700937i | \(0.752765\pi\) | |||||||
\(594\) | 8.30549 | − | 28.6844i | 0.340778 | − | 1.17693i | ||||
\(595\) | 0.225552 | + | 4.16006i | 0.00924673 | + | 0.170546i | ||||
\(596\) | −32.5660 | − | 10.9728i | −1.33396 | − | 0.449462i | ||||
\(597\) | −39.2678 | − | 4.41655i | −1.60712 | − | 0.180757i | ||||
\(598\) | 45.8584 | − | 48.4122i | 1.87529 | − | 1.97972i | ||||
\(599\) | 25.9416 | − | 10.3361i | 1.05995 | − | 0.422321i | 0.225978 | − | 0.974133i | \(-0.427442\pi\) |
0.833969 | + | 0.551811i | \(0.186063\pi\) | |||||||
\(600\) | 1.85355 | + | 36.6769i | 0.0756710 | + | 1.49733i | ||||
\(601\) | −9.42853 | + | 4.99869i | −0.384598 | + | 0.203901i | −0.649478 | − | 0.760381i | \(-0.725012\pi\) |
0.264880 | + | 0.964281i | \(0.414668\pi\) | |||||||
\(602\) | −47.9205 | − | 2.59817i | −1.95309 | − | 0.105894i | ||||
\(603\) | 13.3384 | + | 17.8164i | 0.543182 | + | 0.725540i | ||||
\(604\) | −17.7314 | − | 38.3258i | −0.721481 | − | 1.55946i | ||||
\(605\) | −2.74743 | + | 4.56627i | −0.111699 | + | 0.185645i | ||||
\(606\) | 4.18978 | + | 3.99805i | 0.170198 | + | 0.162410i | ||||
\(607\) | 3.69832 | − | 22.5587i | 0.150110 | − | 0.915631i | −0.799148 | − | 0.601134i | \(-0.794716\pi\) |
0.949258 | − | 0.314497i | \(-0.101836\pi\) | |||||||
\(608\) | −4.86259 | + | 3.69645i | −0.197204 | + | 0.149911i | ||||
\(609\) | 10.5131 | − | 7.07185i | 0.426012 | − | 0.286566i | ||||
\(610\) | 6.88013 | + | 10.1474i | 0.278568 | + | 0.410857i | ||||
\(611\) | −8.16074 | + | 17.6392i | −0.330148 | + | 0.713604i | ||||
\(612\) | −4.65681 | − | 21.9215i | −0.188240 | − | 0.886124i | ||||
\(613\) | 0.143288 | − | 0.188492i | 0.00578733 | − | 0.00761310i | −0.793190 | − | 0.608974i | \(-0.791581\pi\) |
0.798978 | + | 0.601361i | \(0.205375\pi\) | |||||||
\(614\) | −34.7153 | + | 7.64142i | −1.40100 | + | 0.308383i | ||||
\(615\) | 1.57226 | − | 9.37464i | 0.0633995 | − | 0.378022i | ||||
\(616\) | 28.7370 | + | 3.12534i | 1.15785 | + | 0.125923i | ||||
\(617\) | −2.86016 | + | 12.9938i | −0.115146 | + | 0.523112i | 0.883371 | + | 0.468674i | \(0.155268\pi\) |
−0.998517 | + | 0.0544386i | \(0.982663\pi\) | |||||||
\(618\) | −19.3260 | − | 42.1782i | −0.777408 | − | 1.69666i | ||||
\(619\) | 1.68175 | − | 6.05711i | 0.0675952 | − | 0.243456i | −0.922032 | − | 0.387113i | \(-0.873472\pi\) |
0.989628 | + | 0.143657i | \(0.0458862\pi\) | |||||||
\(620\) | −9.95831 | + | 35.8666i | −0.399936 | + | 1.44044i | ||||
\(621\) | −31.1762 | − | 3.73846i | −1.25106 | − | 0.150019i | ||||
\(622\) | 7.67992 | − | 34.8902i | 0.307937 | − | 1.39897i | ||||
\(623\) | 8.63663 | + | 0.939290i | 0.346019 | + | 0.0376319i | ||||
\(624\) | 35.1539 | + | 5.89579i | 1.40728 | + | 0.236020i | ||||
\(625\) | 11.8868 | − | 2.61649i | 0.475474 | − | 0.104660i | ||||
\(626\) | 26.3514 | − | 34.6646i | 1.05321 | − | 1.38548i | ||||
\(627\) | −11.3902 | − | 21.6762i | −0.454882 | − | 0.865662i | ||||
\(628\) | −1.65448 | + | 3.57610i | −0.0660209 | + | 0.142702i | ||||
\(629\) | −7.74590 | − | 11.4244i | −0.308849 | − | 0.455519i | ||||
\(630\) | 5.29051 | + | 16.0911i | 0.210779 | + | 0.641087i | ||||
\(631\) | −4.72446 | + | 3.59144i | −0.188078 | + | 0.142973i | −0.694976 | − | 0.719033i | \(-0.744585\pi\) |
0.506898 | + | 0.862006i | \(0.330792\pi\) | |||||||
\(632\) | 5.35674 | − | 32.6747i | 0.213080 | − | 1.29973i | ||||
\(633\) | 8.66171 | − | 9.07708i | 0.344272 | − | 0.360782i | ||||
\(634\) | −6.38674 | + | 10.6148i | −0.253650 | + | 0.421569i | ||||
\(635\) | −0.288364 | − | 0.623289i | −0.0114434 | − | 0.0247345i | ||||
\(636\) | −8.49622 | + | 11.0918i | −0.336897 | + | 0.439820i | ||||
\(637\) | −5.61977 | − | 0.304695i | −0.222664 | − | 0.0120725i | ||||
\(638\) | −15.5028 | + | 8.21908i | −0.613763 | + | 0.325397i | ||||
\(639\) | −8.42612 | + | 36.9847i | −0.333332 | + | 1.46309i | ||||
\(640\) | 16.5123 | − | 6.57912i | 0.652708 | − | 0.260062i | ||||
\(641\) | 19.3531 | − | 20.4309i | 0.764403 | − | 0.806971i | −0.221345 | − | 0.975195i | \(-0.571045\pi\) |
0.985749 | + | 0.168225i | \(0.0538034\pi\) | |||||||
\(642\) | 7.97583 | − | 70.9136i | 0.314781 | − | 2.79873i | ||||
\(643\) | −6.61274 | − | 2.22809i | −0.260781 | − | 0.0878673i | 0.185874 | − | 0.982574i | \(-0.440488\pi\) |
−0.446655 | + | 0.894706i | \(0.647385\pi\) | |||||||
\(644\) | −3.21318 | − | 59.2635i | −0.126617 | − | 2.33531i | ||||
\(645\) | 3.53862 | + | 12.9289i | 0.139333 | + | 0.509075i | ||||
\(646\) | −22.6304 | − | 15.3438i | −0.890382 | − | 0.603694i | ||||
\(647\) | 21.1508 | − | 5.87249i | 0.831524 | − | 0.230871i | 0.174420 | − | 0.984671i | \(-0.444195\pi\) |
0.657104 | + | 0.753800i | \(0.271781\pi\) | |||||||
\(648\) | −21.2490 | − | 41.5425i | −0.834738 | − | 1.63195i | ||||
\(649\) | 16.7523 | − | 6.23333i | 0.657585 | − | 0.244679i | ||||
\(650\) | − | 45.1282i | − | 1.77007i | ||||||
\(651\) | 0.144973 | − | 39.4906i | 0.00568193 | − | 1.54776i | ||||
\(652\) | 2.66386 | − | 3.92891i | 0.104325 | − | 0.153868i | ||||
\(653\) | −2.82124 | − | 4.68894i | −0.110404 | − | 0.183493i | 0.796729 | − | 0.604336i | \(-0.206562\pi\) |
−0.907133 | + | 0.420844i | \(0.861734\pi\) | |||||||
\(654\) | −0.701871 | + | 3.13379i | −0.0274453 | + | 0.122541i | ||||
\(655\) | −3.93219 | + | 11.6703i | −0.153643 | + | 0.455997i | ||||
\(656\) | −26.1405 | + | 4.28552i | −1.02062 | + | 0.167321i | ||||
\(657\) | 32.6919 | − | 8.81886i | 1.27543 | − | 0.344057i | ||||
\(658\) | 9.52650 | + | 23.9097i | 0.371382 | + | 0.932097i | ||||
\(659\) | −30.5074 | + | 10.2791i | −1.18840 | + | 0.400418i | −0.842936 | − | 0.538014i | \(-0.819175\pi\) |
−0.345463 | + | 0.938432i | \(0.612278\pi\) | |||||||
\(660\) | −3.33265 | − | 15.4096i | −0.129723 | − | 0.599819i | ||||
\(661\) | −1.47152 | + | 27.1405i | −0.0572354 | + | 1.05564i | 0.819010 | + | 0.573779i | \(0.194523\pi\) |
−0.876245 | + | 0.481865i | \(0.839960\pi\) | |||||||
\(662\) | 0.110504 | − | 0.277345i | 0.00429488 | − | 0.0107793i | ||||
\(663\) | 2.23056 | + | 13.9258i | 0.0866277 | + | 0.540834i | ||||
\(664\) | 62.4173 | + | 37.5553i | 2.42226 | + | 1.45743i | ||||
\(665\) | 12.2713 | + | 6.50581i | 0.475859 | + | 0.252285i | ||||
\(666\) | −42.5032 | − | 36.6432i | −1.64697 | − | 1.41989i | ||||
\(667\) | 11.1654 | + | 14.6879i | 0.432327 | + | 0.568716i | ||||
\(668\) | 6.80385 | + | 5.77924i | 0.263249 | + | 0.223606i | ||||
\(669\) | −15.8640 | + | 5.28044i | −0.613338 | + | 0.204154i | ||||
\(670\) | 15.8670 | + | 7.34084i | 0.612995 | + | 0.283602i | ||||
\(671\) | 8.32551 | + | 8.78913i | 0.321403 | + | 0.339301i | ||||
\(672\) | 3.33078 | − | 2.51276i | 0.128488 | − | 0.0969317i | ||||
\(673\) | −1.99651 | − | 9.07023i | −0.0769598 | − | 0.349632i | 0.922367 | − | 0.386314i | \(-0.126252\pi\) |
−0.999327 | + | 0.0366826i | \(0.988321\pi\) | |||||||
\(674\) | 4.60015 | + | 42.2977i | 0.177191 | + | 1.62925i | ||||
\(675\) | −17.0573 | + | 12.6726i | −0.656535 | + | 0.487770i | ||||
\(676\) | −27.8856 | − | 6.13809i | −1.07252 | − | 0.236080i | ||||
\(677\) | −8.35172 | + | 7.09402i | −0.320983 | + | 0.272645i | −0.793362 | − | 0.608750i | \(-0.791671\pi\) |
0.472379 | + | 0.881395i | \(0.343395\pi\) | |||||||
\(678\) | −52.8208 | − | 32.0459i | −2.02857 | − | 1.23072i | ||||
\(679\) | 0.433070 | + | 0.120241i | 0.0166197 | + | 0.00461444i | ||||
\(680\) | −5.83640 | − | 6.87114i | −0.223816 | − | 0.263496i | ||||
\(681\) | 7.25381 | − | 13.5616i | 0.277967 | − | 0.519682i | ||||
\(682\) | −5.91304 | + | 54.3696i | −0.226422 | + | 2.08192i | ||||
\(683\) | 5.30287 | − | 0.576722i | 0.202909 | − | 0.0220677i | −0.00610012 | − | 0.999981i | \(-0.501942\pi\) |
0.209009 | + | 0.977914i | \(0.432976\pi\) | |||||||
\(684\) | −70.6246 | − | 24.3751i | −2.70040 | − | 0.932004i | ||||
\(685\) | 10.7887 | + | 8.20136i | 0.412215 | + | 0.313358i | ||||
\(686\) | −35.4816 | + | 33.6100i | −1.35470 | + | 1.28324i | ||||
\(687\) | 17.1729 | + | 14.6957i | 0.655189 | + | 0.560676i | ||||
\(688\) | 30.9179 | − | 20.9629i | 1.17873 | − | 0.799201i | ||||
\(689\) | 5.69229 | − | 6.70148i | 0.216859 | − | 0.255306i | ||||
\(690\) | −22.9467 | + | 9.04535i | −0.873568 | + | 0.344351i | ||||
\(691\) | −20.8143 | − | 3.41234i | −0.791814 | − | 0.129811i | −0.247716 | − | 0.968833i | \(-0.579680\pi\) |
−0.544099 | + | 0.839021i | \(0.683128\pi\) | |||||||
\(692\) | 3.13195 | − | 5.90749i | 0.119059 | − | 0.224569i | ||||
\(693\) | 7.72602 | + | 14.8350i | 0.293487 | + | 0.563535i | ||||
\(694\) | −44.2016 | + | 20.4498i | −1.67787 | + | 0.776266i | ||||
\(695\) | −16.4254 | − | 6.54447i | −0.623050 | − | 0.248246i | ||||
\(696\) | −8.84983 | + | 25.9501i | −0.335452 | + | 0.983637i | ||||
\(697\) | −4.90934 | − | 9.26000i | −0.185954 | − | 0.350747i | ||||
\(698\) | −7.24691 | − | 21.5081i | −0.274300 | − | 0.814093i | ||||
\(699\) | 15.7823 | − | 1.65783i | 0.596941 | − | 0.0627048i | ||||
\(700\) | −29.1599 | − | 27.6218i | −1.10214 | − | 1.04400i | ||||
\(701\) | 4.93577 | + | 30.1068i | 0.186421 | + | 1.13712i | 0.899788 | + | 0.436328i | \(0.143721\pi\) |
−0.713366 | + | 0.700791i | \(0.752830\pi\) | |||||||
\(702\) | 23.5020 | + | 52.3027i | 0.887027 | + | 1.97404i | ||||
\(703\) | −45.9480 | + | 2.49123i | −1.73296 | + | 0.0939585i | ||||
\(704\) | 13.4161 | − | 8.07220i | 0.505638 | − | 0.304232i | ||||
\(705\) | 5.49611 | − | 4.63381i | 0.206995 | − | 0.174519i | ||||
\(706\) | −24.4861 | − | 88.1909i | −0.921546 | − | 3.31911i | ||||
\(707\) | −3.24373 | −0.121993 | ||||||||
\(708\) | 24.2089 | − | 48.8702i | 0.909824 | − | 1.83666i | ||||
\(709\) | 13.9012 | 0.522070 | 0.261035 | − | 0.965329i | \(-0.415936\pi\) | ||||
0.261035 | + | 0.965329i | \(0.415936\pi\) | |||||||
\(710\) | 7.97153 | + | 28.7108i | 0.299166 | + | 1.07750i | ||||
\(711\) | 17.4469 | − | 7.91681i | 0.654310 | − | 0.296904i | ||||
\(712\) | −16.1083 | + | 9.69205i | −0.603685 | + | 0.363225i | ||||
\(713\) | 57.4206 | − | 3.11325i | 2.15042 | − | 0.116592i | ||||
\(714\) | 15.4198 | + | 10.5377i | 0.577071 | + | 0.394364i | ||||
\(715\) | 1.60515 | + | 9.79099i | 0.0600293 | + | 0.366162i | ||||
\(716\) | 72.6914 | + | 68.8570i | 2.71661 | + | 2.57331i | ||||
\(717\) | 2.66411 | + | 25.3620i | 0.0994931 | + | 0.947160i | ||||
\(718\) | −13.9344 | − | 41.3559i | −0.520029 | − | 1.54339i | ||||
\(719\) | −24.0236 | − | 45.3133i | −0.895928 | − | 1.68990i | −0.706137 | − | 0.708075i | \(-0.749564\pi\) |
−0.189791 | − | 0.981824i | \(-0.560781\pi\) | |||||||
\(720\) | −10.8580 | − | 7.47884i | −0.404653 | − | 0.278720i | ||||
\(721\) | 24.1406 | + | 9.61849i | 0.899042 | + | 0.358211i | ||||
\(722\) | −40.1401 | + | 18.5708i | −1.49386 | + | 0.691133i | ||||
\(723\) | 14.1873 | − | 13.3404i | 0.527631 | − | 0.496136i | ||||
\(724\) | 13.8495 | − | 26.1229i | 0.514711 | − | 0.970848i | ||||
\(725\) | 12.3215 | + | 2.02001i | 0.457609 | + | 0.0750211i | ||||
\(726\) | 8.76099 | + | 22.2254i | 0.325151 | + | 0.824861i | ||||
\(727\) | −6.63681 | + | 7.81346i | −0.246146 | + | 0.289785i | −0.871336 | − | 0.490687i | \(-0.836746\pi\) |
0.625190 | + | 0.780473i | \(0.285022\pi\) | |||||||
\(728\) | −45.9405 | + | 31.1484i | −1.70267 | + | 1.15444i | ||||
\(729\) | 13.1694 | − | 23.5705i | 0.487754 | − | 0.872981i | ||||
\(730\) | 19.3103 | − | 18.2917i | 0.714706 | − | 0.677005i | ||||
\(731\) | 11.7661 | + | 8.94434i | 0.435184 | + | 0.330818i | ||||
\(732\) | 36.8766 | + | 2.13519i | 1.36300 | + | 0.0789190i | ||||
\(733\) | −13.2825 | + | 1.44456i | −0.490601 | + | 0.0533561i | −0.350077 | − | 0.936721i | \(-0.613844\pi\) |
−0.140525 | + | 0.990077i | \(0.544879\pi\) | |||||||
\(734\) | −7.43316 | + | 68.3468i | −0.274363 | + | 2.52273i | ||||
\(735\) | 1.83562 | + | 0.981836i | 0.0677080 | + | 0.0362156i | ||||
\(736\) | 3.93321 | + | 4.63053i | 0.144980 | + | 0.170684i | ||||
\(737\) | 16.6345 | + | 4.61853i | 0.612738 | + | 0.170126i | ||||
\(738\) | −29.0767 | − | 31.1508i | −1.07033 | − | 1.14668i | ||||
\(739\) | −4.43109 | + | 3.76380i | −0.163000 | + | 0.138454i | −0.725175 | − | 0.688565i | \(-0.758241\pi\) |
0.562174 | + | 0.827019i | \(0.309965\pi\) | |||||||
\(740\) | −28.9348 | − | 6.36903i | −1.06366 | − | 0.234130i | ||||
\(741\) | 43.6142 | + | 17.5633i | 1.60221 | + | 0.645203i | ||||
\(742\) | −1.25893 | − | 11.5756i | −0.0462166 | − | 0.424955i | ||||
\(743\) | −0.933471 | − | 4.24080i | −0.0342457 | − | 0.155580i | 0.956395 | − | 0.292077i | \(-0.0943465\pi\) |
−0.990640 | + | 0.136497i | \(0.956415\pi\) | |||||||
\(744\) | 51.4655 | + | 68.2201i | 1.88682 | + | 2.50107i | ||||
\(745\) | −5.50104 | − | 5.80738i | −0.201543 | − | 0.212766i | ||||
\(746\) | −44.4079 | − | 20.5453i | −1.62589 | − | 0.752216i | ||||
\(747\) | 1.97290 | + | 42.1041i | 0.0721845 | + | 1.54051i | ||||
\(748\) | −13.2491 | − | 11.2539i | −0.484435 | − | 0.411483i | ||||
\(749\) | 24.1886 | + | 31.8196i | 0.883833 | + | 1.16266i | ||||
\(750\) | −15.7017 | + | 33.6143i | −0.573345 | + | 1.22742i | ||||
\(751\) | 34.2533 | + | 18.1599i | 1.24992 | + | 0.662666i | 0.956057 | − | 0.293182i | \(-0.0947140\pi\) |
0.293864 | + | 0.955847i | \(0.405059\pi\) | |||||||
\(752\) | −17.1657 | − | 10.3283i | −0.625970 | − | 0.376633i | ||||
\(753\) | −28.7675 | + | 4.60780i | −1.04834 | + | 0.167918i | ||||
\(754\) | 12.4708 | − | 31.2995i | 0.454161 | − | 1.13986i | ||||
\(755\) | 0.532169 | − | 9.81528i | 0.0193676 | − | 0.357215i | ||||
\(756\) | 48.1808 | + | 16.8271i | 1.75232 | + | 0.611995i | ||||
\(757\) | −9.95326 | + | 3.35364i | −0.361757 | + | 0.121890i | −0.494310 | − | 0.869286i | \(-0.664579\pi\) |
0.132553 | + | 0.991176i | \(0.457683\pi\) | |||||||
\(758\) | −25.3755 | − | 63.6877i | −0.921680 | − | 2.31324i | ||||
\(759\) | −20.9156 | + | 12.4802i | −0.759190 | + | 0.453002i | ||||
\(760\) | −29.6594 | + | 4.86241i | −1.07586 | + | 0.176378i | ||||
\(761\) | −7.70780 | + | 22.8759i | −0.279407 | + | 0.829252i | 0.712430 | + | 0.701743i | \(0.247595\pi\) |
−0.991837 | + | 0.127509i | \(0.959302\pi\) | |||||||
\(762\) | −3.00426 | − | 0.672861i | −0.108833 | − | 0.0243752i | ||||
\(763\) | −0.927351 | − | 1.54127i | −0.0335723 | − | 0.0557977i | ||||
\(764\) | 34.9486 | − | 51.5454i | 1.26440 | − | 1.86485i | ||||
\(765\) | 1.43245 | − | 5.01605i | 0.0517903 | − | 0.181356i | ||||
\(766\) | − | 39.8900i | − | 1.44128i | ||||||
\(767\) | −16.7678 | + | 29.9466i | −0.605451 | + | 1.08131i | ||||
\(768\) | 15.2811 | − | 54.2640i | 0.551410 | − | 1.95808i | ||||
\(769\) | 28.8734 | − | 8.01665i | 1.04120 | − | 0.289088i | 0.295482 | − | 0.955348i | \(-0.404520\pi\) |
0.745719 | + | 0.666260i | \(0.232106\pi\) | |||||||
\(770\) | 10.8750 | + | 7.37340i | 0.391906 | + | 0.265719i | ||||
\(771\) | 26.7144 | − | 7.31170i | 0.962097 | − | 0.263325i | ||||
\(772\) | −1.83590 | − | 33.8612i | −0.0660755 | − | 1.21869i | ||||
\(773\) | 24.9488 | + | 8.40622i | 0.897345 | + | 0.302351i | 0.729919 | − | 0.683534i | \(-0.239558\pi\) |
0.167426 | + | 0.985885i | \(0.446454\pi\) | |||||||
\(774\) | 55.6580 | + | 22.6511i | 2.00059 | + | 0.814177i | ||||
\(775\) | 26.7628 | − | 28.2531i | 0.961348 | − | 1.01488i | ||||
\(776\) | −0.903509 | + | 0.359991i | −0.0324341 | + | 0.0129229i | ||||
\(777\) | 31.3922 | − | 1.58648i | 1.12619 | − | 0.0569145i | ||||
\(778\) | 44.8576 | − | 23.7820i | 1.60822 | − | 0.852626i | ||||
\(779\) | −34.8900 | − | 1.89168i | −1.25006 | − | 0.0677764i | ||||
\(780\) | 24.0325 | + | 18.4086i | 0.860502 | + | 0.659135i | ||||
\(781\) | 12.3546 | + | 26.7041i | 0.442083 | + | 0.955547i | ||||
\(782\) | −14.0210 | + | 23.3031i | −0.501389 | + | 0.833316i | ||||
\(783\) | −15.3324 | + | 4.07568i | −0.547934 | + | 0.145653i | ||||
\(784\) | 0.938524 | − | 5.72474i | 0.0335187 | − | 0.204455i | ||||
\(785\) | −0.730166 | + | 0.555057i | −0.0260607 | + | 0.0198109i | ||||
\(786\) | 30.8134 | + | 45.8075i | 1.09908 | + | 1.63390i | ||||
\(787\) | −9.29727 | − | 13.7125i | −0.331412 | − | 0.488796i | 0.625078 | − | 0.780563i | \(-0.285067\pi\) |
−0.956490 | + | 0.291766i | \(0.905757\pi\) | |||||||
\(788\) | −11.7087 | + | 25.3080i | −0.417106 | + | 0.901560i | ||||
\(789\) | 12.2912 | − | 6.45868i | 0.437578 | − | 0.229935i | ||||
\(790\) | 9.10786 | − | 11.9812i | 0.324043 | − | 0.426271i | ||||
\(791\) | 33.7954 | − | 7.43893i | 1.20163 | − | 0.264498i | ||||
\(792\) | −32.7368 | − | 15.4385i | −1.16325 | − | 0.548582i | ||||
\(793\) | −23.1096 | − | 2.51332i | −0.820645 | − | 0.0892505i | ||||
\(794\) | 0.526250 | − | 2.39078i | 0.0186759 | − | 0.0848455i | ||||
\(795\) | −2.95668 | + | 1.35475i | −0.104863 | + | 0.0480480i | ||||
\(796\) | −25.0199 | + | 90.1136i | −0.886808 | + | 3.19399i | ||||
\(797\) | 4.24057 | − | 15.2731i | 0.150209 | − | 0.541002i | −0.849697 | − | 0.527271i | \(-0.823215\pi\) |
0.999906 | − | 0.0137313i | \(-0.00437094\pi\) | |||||||
\(798\) | 56.6047 | − | 25.9363i | 2.00379 | − | 0.918135i | ||||
\(799\) | 1.70395 | − | 7.74114i | 0.0602815 | − | 0.273862i | ||||
\(800\) | 4.08750 | + | 0.444542i | 0.144515 | + | 0.0157169i | ||||
\(801\) | −9.83874 | − | 4.63988i | −0.347635 | − | 0.163942i | ||||
\(802\) | 39.7431 | − | 8.74812i | 1.40338 | − | 0.308907i | ||||
\(803\) | 15.8949 | − | 20.9094i | 0.560919 | − | 0.737877i | ||||
\(804\) | 46.6288 | − | 24.5022i | 1.64447 | − | 0.864125i | ||||
\(805\) | 5.80084 | − | 12.5383i | 0.204453 | − | 0.441917i | ||||
\(806\) | −58.9318 | − | 86.9180i | −2.07579 | − | 3.06155i | ||||
\(807\) | 3.38715 | + | 5.03536i | 0.119233 | + | 0.177253i | ||||
\(808\) | 5.58795 | − | 4.24785i | 0.196583 | − | 0.149439i | ||||
\(809\) | 3.71427 | − | 22.6560i | 0.130587 | − | 0.796543i | −0.837594 | − | 0.546293i | \(-0.816039\pi\) |
0.968181 | − | 0.250251i | \(-0.0805131\pi\) | |||||||
\(810\) | 0.311429 | − | 21.2069i | 0.0109425 | − | 0.745136i | ||||
\(811\) | 23.9809 | − | 39.8566i | 0.842085 | − | 1.39956i | −0.0734423 | − | 0.997299i | \(-0.523398\pi\) |
0.915527 | − | 0.402256i | \(-0.131774\pi\) | |||||||
\(812\) | −12.5913 | − | 27.2157i | −0.441869 | − | 0.955083i | ||||
\(813\) | −32.8411 | − | 25.1559i | −1.15179 | − | 0.882258i | ||||
\(814\) | −43.4660 | − | 2.35666i | −1.52348 | − | 0.0826009i | ||||
\(815\) | 0.976221 | − | 0.517560i | 0.0341955 | − | 0.0181293i | ||||
\(816\) | −14.5187 | + | 0.733734i | −0.508255 | + | 0.0256858i | ||||
\(817\) | 45.7733 | − | 18.2378i | 1.60141 | − | 0.638058i | ||||
\(818\) | −20.9181 | + | 22.0830i | −0.731385 | + | 0.772114i | ||||
\(819\) | −29.7477 | − | 12.1064i | −1.03947 | − | 0.423032i | ||||
\(820\) | −21.3195 | − | 7.18339i | −0.744510 | − | 0.250855i | ||||
\(821\) | −0.0491090 | − | 0.905762i | −0.00171392 | − | 0.0316113i | 0.997551 | − | 0.0699378i | \(-0.0222801\pi\) |
−0.999265 | + | 0.0383265i | \(0.987797\pi\) | |||||||
\(822\) | 58.5974 | − | 16.0380i | 2.04382 | − | 0.559390i | ||||
\(823\) | −9.45729 | − | 6.41220i | −0.329660 | − | 0.223515i | 0.385116 | − | 0.922868i | \(-0.374161\pi\) |
−0.714777 | + | 0.699353i | \(0.753472\pi\) | |||||||
\(824\) | −54.1828 | + | 15.0438i | −1.88755 | + | 0.524075i | ||||
\(825\) | −4.46793 | + | 15.8659i | −0.155554 | + | 0.552378i | ||||
\(826\) | 13.5205 | + | 43.3929i | 0.470439 | + | 1.50983i | ||||
\(827\) | 30.3551i | 1.05555i | 0.849384 | + | 0.527775i | \(0.176973\pi\) | ||||
−0.849384 | + | 0.527775i | \(0.823027\pi\) | |||||||
\(828\) | −20.4064 | + | 71.4578i | −0.709172 | + | 2.48333i | ||||
\(829\) | 26.3187 | − | 38.8171i | 0.914086 | − | 1.34818i | −0.0232435 | − | 0.999730i | \(-0.507399\pi\) |
0.937329 | − | 0.348445i | \(-0.113290\pi\) | |||||||
\(830\) | 17.0701 | + | 28.3707i | 0.592512 | + | 0.984762i | ||||
\(831\) | −15.9650 | − | 3.57565i | −0.553819 | − | 0.124038i | ||||
\(832\) | −9.59957 | + | 28.4905i | −0.332805 | + | 0.987731i | ||||
\(833\) | 2.26507 | − | 0.371339i | 0.0784799 | − | 0.0128661i | ||||
\(834\) | −68.0665 | + | 40.6147i | −2.35695 | + | 1.40637i | ||||
\(835\) | 0.769134 | + | 1.93038i | 0.0266170 | + | 0.0668036i | ||||
\(836\) | −54.9196 | + | 18.5046i | −1.89944 | + | 0.639994i | ||||
\(837\) | −16.3038 | + | 46.6825i | −0.563542 | + | 1.61358i | ||||
\(838\) | 0.555401 | − | 10.2438i | 0.0191860 | − | 0.353865i | ||||
\(839\) | 10.1752 | − | 25.5379i | 0.351288 | − | 0.881667i | −0.642074 | − | 0.766642i | \(-0.721926\pi\) |
0.993363 | − | 0.115025i | \(-0.0366948\pi\) | |||||||
\(840\) | 20.2717 | − | 3.24701i | 0.699442 | − | 0.112033i | ||||
\(841\) | −16.8613 | − | 10.1451i | −0.581424 | − | 0.349831i | ||||
\(842\) | 60.9508 | + | 32.3140i | 2.10050 | + | 1.11362i | ||||
\(843\) | −6.00708 | + | 12.8600i | −0.206895 | + | 0.442922i | ||||
\(844\) | −17.9704 | − | 23.6397i | −0.618568 | − | 0.813712i | ||||
\(845\) | −5.06563 | − | 4.30278i | −0.174263 | − | 0.148020i | ||||
\(846\) | −1.50842 | − | 32.1915i | −0.0518604 | − | 1.10677i | ||||
\(847\) | −12.1441 | − | 5.61848i | −0.417278 | − | 0.193053i | ||||
\(848\) | 6.23277 | + | 6.57985i | 0.214034 | + | 0.225953i | ||||
\(849\) | −2.46998 | − | 3.27408i | −0.0847695 | − | 0.112366i | ||||
\(850\) | 3.95650 | + | 17.9746i | 0.135707 | + | 0.616522i | ||||
\(851\) | 4.94863 | + | 45.5019i | 0.169637 | + | 1.55979i | ||||
\(852\) | 83.2774 | + | 33.5355i | 2.85304 | + | 1.14891i | ||||
\(853\) | −41.9594 | − | 9.23596i | −1.43666 | − | 0.316233i | −0.572690 | − | 0.819772i | \(-0.694100\pi\) |
−0.863973 | + | 0.503539i | \(0.832031\pi\) | |||||||
\(854\) | −23.4621 | + | 19.9289i | −0.802857 | + | 0.681953i | ||||
\(855\) | −11.8668 | − | 12.7133i | −0.405835 | − | 0.434785i | ||||
\(856\) | −83.3391 | − | 23.1390i | −2.84847 | − | 0.790875i | ||||
\(857\) | 4.66560 | + | 5.49277i | 0.159374 | + | 0.187629i | 0.836053 | − | 0.548649i | \(-0.184857\pi\) |
−0.676679 | + | 0.736278i | \(0.736582\pi\) | |||||||
\(858\) | 39.2201 | + | 20.9780i | 1.33895 | + | 0.716176i | ||||
\(859\) | −3.03750 | + | 27.9294i | −0.103638 | + | 0.952938i | 0.820699 | + | 0.571361i | \(0.193584\pi\) |
−0.924337 | + | 0.381577i | \(0.875381\pi\) | |||||||
\(860\) | 31.5388 | − | 3.43005i | 1.07546 | − | 0.116964i | ||||
\(861\) | 23.8277 | + | 1.37965i | 0.812046 | + | 0.0470183i | ||||
\(862\) | 57.4192 | + | 43.6490i | 1.95571 | + | 1.48669i | ||||
\(863\) | 3.21511 | − | 3.04552i | 0.109444 | − | 0.103671i | −0.631021 | − | 0.775766i | \(-0.717364\pi\) |
0.740465 | + | 0.672095i | \(0.234605\pi\) | |||||||
\(864\) | −4.96884 | + | 1.61349i | −0.169044 | + | 0.0548919i | ||||
\(865\) | 1.28822 | − | 0.873433i | 0.0438007 | − | 0.0296976i | ||||
\(866\) | −9.93542 | + | 11.6969i | −0.337619 | + | 0.397476i | ||||
\(867\) | 8.68884 | + | 22.0423i | 0.295088 | + | 0.748597i | ||||
\(868\) | −92.2333 | − | 15.1209i | −3.13060 | − | 0.513236i | ||||
\(869\) | 6.96119 | − | 13.1302i | 0.236142 | − | 0.445412i | ||||
\(870\) | −9.07893 | + | 8.53700i | −0.307804 | + | 0.289431i | ||||
\(871\) | −30.0850 | + | 13.9188i | −1.01939 | + | 0.471621i | ||||
\(872\) | 3.61592 | + | 1.44071i | 0.122451 | + | 0.0487887i | ||||
\(873\) | −0.463469 | − | 0.319232i | −0.0156860 | − | 0.0108044i | ||||
\(874\) | 42.4687 | + | 80.1045i | 1.43653 | + | 2.70957i | ||||
\(875\) | −6.63522 | − | 19.6926i | −0.224311 | − | 0.665732i | ||||
\(876\) | −8.37202 | − | 79.7005i | −0.282864 | − | 2.69283i | ||||
\(877\) | −22.1367 | − | 20.9690i | −0.747502 | − | 0.708071i | 0.215816 | − | 0.976434i | \(-0.430759\pi\) |
−0.963318 | + | 0.268363i | \(0.913517\pi\) | |||||||
\(878\) | 7.81745 | + | 47.6843i | 0.263826 | + | 1.60927i | ||||
\(879\) | −26.3235 | − | 17.9892i | −0.887870 | − | 0.606760i | ||||
\(880\) | −10.2119 | + | 0.553674i | −0.344244 | + | 0.0186643i | ||||
\(881\) | −33.4573 | + | 20.1306i | −1.12720 | + | 0.678216i | −0.951934 | − | 0.306304i | \(-0.900908\pi\) |
−0.175270 | + | 0.984520i | \(0.556080\pi\) | |||||||
\(882\) | 8.49812 | − | 3.85616i | 0.286147 | − | 0.129844i | ||||
\(883\) | 14.4915 | + | 52.1937i | 0.487678 | + | 1.75646i | 0.640251 | + | 0.768166i | \(0.278831\pi\) |
−0.152572 | + | 0.988292i | \(0.548756\pi\) | |||||||
\(884\) | 33.3789 | 1.12265 | ||||||||
\(885\) | 10.3072 | − | 7.41096i | 0.346472 | − | 0.249117i | ||||
\(886\) | −19.1430 | −0.643120 | ||||||||
\(887\) | −2.37103 | − | 8.53969i | −0.0796115 | − | 0.286735i | 0.913019 | − | 0.407918i | \(-0.133745\pi\) |
−0.992630 | + | 0.121183i | \(0.961331\pi\) | |||||||
\(888\) | −52.0015 | + | 43.8428i | −1.74506 | + | 1.47127i | ||||
\(889\) | 1.47756 | − | 0.889021i | 0.0495559 | − | 0.0298168i | ||||
\(890\) | −8.53237 | + | 0.462612i | −0.286006 | + | 0.0155068i | ||||
\(891\) | −3.08443 | − | 20.7151i | −0.103332 | − | 0.693981i | ||||
\(892\) | 6.40191 | + | 39.0500i | 0.214352 | + | 1.30749i | ||||
\(893\) | −19.1846 | − | 18.1726i | −0.641988 | − | 0.608123i | ||||
\(894\) | −35.6634 | + | 3.74621i | −1.19276 | + | 0.125292i | ||||
\(895\) | 7.44186 | + | 22.0866i | 0.248754 | + | 0.738275i | ||||
\(896\) | 20.9054 | + | 39.4318i | 0.698402 | + | 1.31733i | ||||
\(897\) | 15.0954 | − | 44.2639i | 0.504021 | − | 1.47793i | ||||
\(898\) | 76.2722 | + | 30.3896i | 2.54524 | + | 1.01411i | ||||
\(899\) | 26.3693 | − | 12.1998i | 0.879467 | − | 0.406885i | ||||
\(900\) | 23.2305 | + | 44.6056i | 0.774349 | + | 1.48685i | ||||
\(901\) | −1.67970 | + | 3.16825i | −0.0559590 | + | 0.105550i | ||||
\(902\) | −32.6184 | − | 5.34751i | −1.08607 | − | 0.178053i | ||||
\(903\) | −31.3123 | + | 12.3430i | −1.04201 | + | 0.410748i | ||||
\(904\) | −48.4774 | + | 57.0720i | −1.61233 | + | 1.89819i | ||||
\(905\) | 5.69648 | − | 3.86231i | 0.189357 | − | 0.128388i | ||||
\(906\) | −33.4801 | − | 28.6505i | −1.11230 | − | 0.951850i | ||||
\(907\) | −11.3229 | + | 10.7256i | −0.375970 | + | 0.356138i | −0.852231 | − | 0.523166i | \(-0.824751\pi\) |
0.476260 | + | 0.879304i | \(0.341992\pi\) | |||||||
\(908\) | −28.9775 | − | 22.0281i | −0.961653 | − | 0.731030i | ||||
\(909\) | 3.83933 | + | 1.32509i | 0.127342 | + | 0.0439504i | ||||
\(910\) | −25.0807 | + | 2.72769i | −0.831418 | + | 0.0904222i | ||||
\(911\) | 6.38185 | − | 58.6802i | 0.211440 | − | 1.94416i | −0.102533 | − | 0.994730i | \(-0.532695\pi\) |
0.313974 | − | 0.949432i | \(-0.398340\pi\) | |||||||
\(912\) | −22.8580 | + | 42.7350i | −0.756905 | + | 1.41510i | ||||
\(913\) | 21.1665 | + | 24.9191i | 0.700508 | + | 0.824702i | ||||
\(914\) | 29.3805 | + | 8.15745i | 0.971820 | + | 0.269825i | ||||
\(915\) | 7.35113 | + | 4.45987i | 0.243021 | + | 0.147439i | ||||
\(916\) | 40.7713 | − | 34.6314i | 1.34712 | − | 1.14425i | ||||
\(917\) | −30.1988 | − | 6.64726i | −0.997253 | − | 0.219512i | ||||
\(918\) | −13.9464 | − | 18.7717i | −0.460298 | − | 0.619558i | ||||
\(919\) | 1.79553 | + | 16.5096i | 0.0592291 | + | 0.544603i | 0.985733 | + | 0.168317i | \(0.0538333\pi\) |
−0.926504 | + | 0.376285i | \(0.877201\pi\) | |||||||
\(920\) | 6.42657 | + | 29.1962i | 0.211878 | + | 0.962570i | ||||
\(921\) | −19.9016 | + | 15.0138i | −0.655779 | + | 0.494722i | ||||
\(922\) | −51.9743 | − | 54.8686i | −1.71168 | − | 1.80700i | ||||
\(923\) | −51.2756 | − | 23.7226i | −1.68776 | − | 0.780840i | ||||
\(924\) | 37.5606 | − | 12.5023i | 1.23565 | − | 0.411295i | ||||
\(925\) | 23.6080 | + | 20.0528i | 0.776225 | + | 0.659331i | ||||
\(926\) | −23.6078 | − | 31.0556i | −0.775802 | − | 1.02055i | ||||
\(927\) | −24.6439 | − | 21.2462i | −0.809413 | − | 0.697816i | ||||
\(928\) | 2.71211 | + | 1.43787i | 0.0890294 | + | 0.0472004i | ||||
\(929\) | −27.0072 | − | 16.2497i | −0.886077 | − | 0.533135i | −0.00174744 | − | 0.999998i | \(-0.500556\pi\) |
−0.884329 | + | 0.466864i | \(0.845384\pi\) | |||||||
\(930\) | 6.14325 | + | 38.3535i | 0.201445 | + | 1.25766i | ||||
\(931\) | 2.83233 | − | 7.10861i | 0.0928259 | − | 0.232975i | ||||
\(932\) | 2.03335 | − | 37.5030i | 0.0666047 | − | 1.22845i | ||||
\(933\) | −5.29626 | − | 24.4890i | −0.173392 | − | 0.801735i | ||||
\(934\) | −18.0072 | + | 6.06733i | −0.589214 | + | 0.198529i | ||||
\(935\) | −1.49773 | − | 3.75902i | −0.0489810 | − | 0.122933i | ||||
\(936\) | 67.1002 | − | 18.1007i | 2.19324 | − | 0.591640i | ||||
\(937\) | −47.3402 | + | 7.76103i | −1.54654 | + | 0.253542i | −0.873780 | − | 0.486322i | \(-0.838338\pi\) |
−0.672757 | + | 0.739864i | \(0.734890\pi\) | |||||||
\(938\) | −14.0166 | + | 41.5998i | −0.457659 | + | 1.35828i | ||||
\(939\) | 6.67425 | − | 29.7999i | 0.217806 | − | 0.972483i | ||||
\(940\) | −8.77168 | − | 14.5787i | −0.286101 | − | 0.475503i | ||||
\(941\) | 2.67975 | − | 3.95233i | 0.0873573 | − | 0.128842i | −0.781500 | − | 0.623906i | \(-0.785545\pi\) |
0.868857 | + | 0.495063i | \(0.164855\pi\) | |||||||
\(942\) | −0.0150941 | + | 4.11163i | −0.000491791 | + | 0.133964i | ||||
\(943\) | 34.7550i | 1.13178i | ||||||||
\(944\) | −28.8182 | − | 20.5197i | −0.937951 | − | 0.667861i | ||||
\(945\) | 8.07402 | + | 8.71388i | 0.262648 | + | 0.283462i | ||||
\(946\) | 44.9123 | − | 12.4698i | 1.46022 | − | 0.405429i | ||||
\(947\) | −10.9853 | − | 7.44822i | −0.356974 | − | 0.242035i | 0.369496 | − | 0.929232i | \(-0.379530\pi\) |
−0.726471 | + | 0.687198i | \(0.758841\pi\) | |||||||
\(948\) | −11.9705 | − | 43.7360i | −0.388783 | − | 1.42048i | ||||
\(949\) | 2.73036 | + | 50.3586i | 0.0886314 | + | 1.63471i | ||||
\(950\) | 58.1462 | + | 19.5917i | 1.88651 | + | 0.635640i | ||||
\(951\) | −0.971051 | + | 8.63367i | −0.0314885 | + | 0.279966i | ||||
\(952\) | 15.5672 | − | 16.4341i | 0.504536 | − | 0.532632i | ||||
\(953\) | −6.43435 | + | 2.56368i | −0.208429 | + | 0.0830457i | −0.472016 | − | 0.881590i | \(-0.656474\pi\) |
0.263587 | + | 0.964636i | \(0.415094\pi\) | |||||||
\(954\) | −3.23865 | + | 14.2154i | −0.104855 | + | 0.460239i | ||||
\(955\) | 12.8076 | − | 6.79013i | 0.414443 | − | 0.219724i | ||||
\(956\) | 60.2669 | + | 3.26758i | 1.94917 | + | 0.105681i | ||||
\(957\) | −7.48322 | + | 9.76936i | −0.241898 | + | 0.315799i | ||||
\(958\) | 32.8029 | + | 70.9023i | 1.05981 | + | 2.29075i | ||||
\(959\) | −17.5433 | + | 29.1571i | −0.566501 | + | 0.941532i | ||||
\(960\) | 7.67698 | − | 8.04513i | 0.247773 | − | 0.259655i | ||||
\(961\) | 9.63541 | − | 58.7734i | 0.310820 | − | 1.89592i | ||||
\(962\) | 66.5403 | − | 50.5826i | 2.14534 | − | 1.63085i | ||||
\(963\) | −15.6315 | − | 47.5434i | −0.503718 | − | 1.53206i | ||||
\(964\) | −25.8653 | − | 38.1485i | −0.833067 | − | 1.22868i | ||||
\(965\) | 3.31440 | − | 7.16397i | 0.106694 | − | 0.230616i | ||||
\(966\) | −28.8084 | − | 54.8238i | −0.926896 | − | 1.76393i | ||||
\(967\) | 12.6185 | − | 16.5993i | 0.405783 | − | 0.533799i | −0.547128 | − | 0.837049i | \(-0.684279\pi\) |
0.952911 | + | 0.303250i | \(0.0980718\pi\) | |||||||
\(968\) | 28.2783 | − | 6.22454i | 0.908901 | − | 0.200064i | ||||
\(969\) | −18.9113 | − | 3.17169i | −0.607519 | − | 0.101889i | ||||
\(970\) | −0.439481 | − | 0.0477964i | −0.0141109 | − | 0.00153465i | ||||
\(971\) | 3.64833 | − | 16.5745i | 0.117080 | − | 0.531901i | −0.881171 | − | 0.472797i | \(-0.843244\pi\) |
0.998252 | − | 0.0591045i | \(-0.0188245\pi\) | |||||||
\(972\) | −50.1535 | − | 39.5990i | −1.60867 | − | 1.27014i | ||||
\(973\) | 11.8771 | − | 42.7775i | 0.380763 | − | 1.37138i | ||||
\(974\) | −15.6947 | + | 56.5272i | −0.502891 | + | 1.81125i | ||||
\(975\) | −13.1838 | − | 28.7730i | −0.422219 | − | 0.921474i | ||||
\(976\) | 5.15090 | − | 23.4008i | 0.164876 | − | 0.749040i | ||||
\(977\) | 50.9123 | + | 5.53705i | 1.62883 | + | 0.177146i | 0.876419 | − | 0.481550i | \(-0.159926\pi\) |
0.752410 | + | 0.658695i | \(0.228891\pi\) | |||||||
\(978\) | 0.819294 | − | 4.88507i | 0.0261981 | − | 0.156207i | ||||
\(979\) | −8.24055 | + | 1.81388i | −0.263369 | + | 0.0579719i | ||||
\(980\) | 2.98161 | − | 3.92224i | 0.0952440 | − | 0.125291i | ||||
\(981\) | 0.468007 | + | 2.20310i | 0.0149423 | + | 0.0703395i | ||||
\(982\) | −37.0088 | + | 79.9932i | −1.18100 | + | 2.55269i | ||||
\(983\) | 32.5723 | + | 48.0405i | 1.03889 | + | 1.53225i | 0.832685 | + | 0.553747i | \(0.186802\pi\) |
0.206209 | + | 0.978508i | \(0.433887\pi\) | |||||||
\(984\) | −42.8546 | + | 28.8270i | −1.36615 | + | 0.918972i | ||||
\(985\) | −5.16738 | + | 3.92814i | −0.164646 | + | 0.125161i | ||||
\(986\) | −2.22303 | + | 13.5599i | −0.0707958 | + | 0.431836i | ||||
\(987\) | 13.0589 | + | 12.4614i | 0.415671 | + | 0.396649i | ||||
\(988\) | 57.3701 | − | 95.3499i | 1.82519 | − | 3.03348i | ||||
\(989\) | −20.5789 | − | 44.4805i | −0.654370 | − | 1.41440i | ||||
\(990\) | −9.85967 | − | 13.1698i | −0.313361 | − | 0.418563i | ||||
\(991\) | 52.0846 | + | 2.82394i | 1.65452 | + | 0.0897055i | 0.857579 | − | 0.514351i | \(-0.171967\pi\) |
0.796941 | + | 0.604057i | \(0.206450\pi\) | |||||||
\(992\) | 8.45313 | − | 4.48157i | 0.268387 | − | 0.142290i | ||||
\(993\) | −0.0105680 | − | 0.209114i | −0.000335366 | − | 0.00663602i | ||||
\(994\) | −69.5036 | + | 27.6928i | −2.20452 | + | 0.878361i | ||||
\(995\) | −14.9708 | + | 15.8045i | −0.474607 | + | 0.501037i | ||||
\(996\) | 99.1337 | + | 11.1498i | 3.14117 | + | 0.353296i | ||||
\(997\) | 20.9177 | + | 7.04800i | 0.662471 | + | 0.223212i | 0.630397 | − | 0.776273i | \(-0.282892\pi\) |
0.0320739 | + | 0.999485i | \(0.489789\pi\) | |||||||
\(998\) | −3.36221 | − | 62.0123i | −0.106429 | − | 1.96296i | ||||
\(999\) | −37.8043 | − | 10.9462i | −1.19608 | − | 0.346321i |
(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 | 177.2.f.a.83.2 | yes | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.83.17 | yes | 504 | |
59.32 | odd | 58 | inner | 177.2.f.a.32.17 | yes | 504 | |
177.32 | even | 58 | inner | 177.2.f.a.32.2 | ✓ | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.32.2 | ✓ | 504 | 177.32 | even | 58 | inner | |
177.2.f.a.32.17 | yes | 504 | 59.32 | odd | 58 | inner | |
177.2.f.a.83.2 | yes | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.83.17 | yes | 504 | 3.2 | odd | 2 | inner |