Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [57,2,Mod(2,57)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(57, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("57.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 57 = 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 57.j (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: | \(0.455147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 41.3 | ||
Character | \(\chi\) | \(=\) | 57.41 |
Dual form | 57.2.j.b.32.3 |
$q$-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 \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(40\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.745719 | + | 0.625733i | 0.527303 | + | 0.442460i | 0.867169 | − | 0.498014i | \(-0.165937\pi\) |
−0.339866 | + | 0.940474i | \(0.610382\pi\) | |||||||
\(3\) | 1.09578 | + | 1.34136i | 0.632651 | + | 0.774437i | ||||
\(4\) | −0.182741 | − | 1.03637i | −0.0913703 | − | 0.518187i | ||||
\(5\) | −3.79113 | − | 0.668479i | −1.69545 | − | 0.298953i | −0.759346 | − | 0.650687i | \(-0.774481\pi\) |
−0.936100 | + | 0.351734i | \(0.885592\pi\) | |||||||
\(6\) | −0.0221879 | + | 1.68595i | −0.00905815 | + | 0.688286i | ||||
\(7\) | −0.469963 | − | 0.814000i | −0.177629 | − | 0.307663i | 0.763439 | − | 0.645880i | \(-0.223509\pi\) |
−0.941068 | + | 0.338217i | \(0.890176\pi\) | |||||||
\(8\) | 1.48569 | − | 2.57329i | 0.525270 | − | 0.909794i | ||||
\(9\) | −0.598514 | + | 2.93969i | −0.199505 | + | 0.979897i | ||||
\(10\) | −2.40883 | − | 2.87073i | −0.761739 | − | 0.907805i | ||||
\(11\) | 3.44730 | + | 1.99030i | 1.03940 | + | 0.600098i | 0.919663 | − | 0.392708i | \(-0.128462\pi\) |
0.119736 | + | 0.992806i | \(0.461795\pi\) | |||||||
\(12\) | 1.18991 | − | 1.38076i | 0.343497 | − | 0.398592i | ||||
\(13\) | −0.353205 | + | 0.970422i | −0.0979613 | + | 0.269147i | −0.978987 | − | 0.203921i | \(-0.934631\pi\) |
0.881026 | + | 0.473068i | \(0.156854\pi\) | |||||||
\(14\) | 0.158886 | − | 0.901087i | 0.0424640 | − | 0.240826i | ||||
\(15\) | −3.25759 | − | 5.81780i | −0.841106 | − | 1.50215i | ||||
\(16\) | 0.740303 | − | 0.269448i | 0.185076 | − | 0.0673620i | ||||
\(17\) | −0.804427 | + | 0.958678i | −0.195102 | + | 0.232514i | −0.854722 | − | 0.519085i | \(-0.826273\pi\) |
0.659620 | + | 0.751599i | \(0.270717\pi\) | |||||||
\(18\) | −2.28578 | + | 1.81767i | −0.538764 | + | 0.428430i | ||||
\(19\) | −4.22014 | − | 1.09106i | −0.968167 | − | 0.250306i | ||||
\(20\) | 4.05119i | 0.905873i | ||||||||
\(21\) | 0.576892 | − | 1.52236i | 0.125888 | − | 0.332206i | ||||
\(22\) | 1.32532 | + | 3.64129i | 0.282560 | + | 0.776326i | ||||
\(23\) | −0.477922 | + | 0.0842705i | −0.0996536 | + | 0.0175716i | −0.223253 | − | 0.974761i | \(-0.571667\pi\) |
0.123599 | + | 0.992332i | \(0.460556\pi\) | |||||||
\(24\) | 5.07970 | − | 0.826919i | 1.03689 | − | 0.168794i | ||||
\(25\) | 9.22735 | + | 3.35848i | 1.84547 | + | 0.671696i | ||||
\(26\) | −0.870616 | + | 0.502651i | −0.170742 | + | 0.0985779i | ||||
\(27\) | −4.59904 | + | 2.41844i | −0.885085 | + | 0.465429i | ||||
\(28\) | −0.757727 | + | 0.635808i | −0.143197 | + | 0.120156i | ||||
\(29\) | 3.32571 | − | 2.79060i | 0.617568 | − | 0.518201i | −0.279470 | − | 0.960155i | \(-0.590159\pi\) |
0.897038 | + | 0.441953i | \(0.145714\pi\) | |||||||
\(30\) | 1.21114 | − | 6.37682i | 0.221123 | − | 1.16424i | ||||
\(31\) | 4.26794 | − | 2.46410i | 0.766544 | − | 0.442565i | −0.0650961 | − | 0.997879i | \(-0.520735\pi\) |
0.831641 | + | 0.555314i | \(0.187402\pi\) | |||||||
\(32\) | −4.86370 | − | 1.77024i | −0.859788 | − | 0.312937i | ||||
\(33\) | 1.10778 | + | 6.80502i | 0.192840 | + | 1.18460i | ||||
\(34\) | −1.19975 | + | 0.211549i | −0.205756 | + | 0.0362803i | ||||
\(35\) | 1.23755 | + | 3.40014i | 0.209184 | + | 0.574729i | ||||
\(36\) | 3.15599 | + | 0.0830829i | 0.525998 | + | 0.0138472i | ||||
\(37\) | 1.10257i | 0.181261i | 0.995885 | + | 0.0906304i | \(0.0288882\pi\) | ||||
−0.995885 | + | 0.0906304i | \(0.971112\pi\) | |||||||
\(38\) | −2.46433 | − | 3.45430i | −0.399767 | − | 0.560362i | ||||
\(39\) | −1.68872 | + | 0.589597i | −0.270412 | + | 0.0944111i | ||||
\(40\) | −7.35262 | + | 8.76251i | −1.16255 | + | 1.38548i | ||||
\(41\) | 2.04769 | − | 0.745298i | 0.319795 | − | 0.116396i | −0.177135 | − | 0.984187i | \(-0.556683\pi\) |
0.496930 | + | 0.867791i | \(0.334461\pi\) | |||||||
\(42\) | 1.38279 | − | 0.774273i | 0.213369 | − | 0.119473i | ||||
\(43\) | −1.00316 | + | 5.68919i | −0.152980 | + | 0.867593i | 0.807629 | + | 0.589691i | \(0.200750\pi\) |
−0.960609 | + | 0.277903i | \(0.910361\pi\) | |||||||
\(44\) | 1.43273 | − | 3.93640i | 0.215992 | − | 0.593434i | ||||
\(45\) | 4.23417 | − | 10.7447i | 0.631192 | − | 1.60172i | ||||
\(46\) | −0.409126 | − | 0.236209i | −0.0603224 | − | 0.0348271i | ||||
\(47\) | −4.96510 | − | 5.91718i | −0.724235 | − | 0.863110i | 0.270800 | − | 0.962636i | \(-0.412712\pi\) |
−0.995035 | + | 0.0995260i | \(0.968267\pi\) | |||||||
\(48\) | 1.17264 | + | 0.697758i | 0.169256 | + | 0.100713i | ||||
\(49\) | 3.05827 | − | 5.29708i | 0.436896 | − | 0.756725i | ||||
\(50\) | 4.77950 | + | 8.27834i | 0.675924 | + | 1.17073i | ||||
\(51\) | −2.16741 | − | 0.0285242i | −0.303499 | − | 0.00399418i | ||||
\(52\) | 1.07026 | + | 0.188716i | 0.148419 | + | 0.0261703i | ||||
\(53\) | 1.34079 | + | 7.60399i | 0.184172 | + | 1.04449i | 0.927015 | + | 0.375024i | \(0.122365\pi\) |
−0.742844 | + | 0.669465i | \(0.766523\pi\) | |||||||
\(54\) | −4.94289 | − | 1.07429i | −0.672642 | − | 0.146192i | ||||
\(55\) | −11.7387 | − | 9.84993i | −1.58284 | − | 1.32816i | ||||
\(56\) | −2.79287 | −0.373213 | ||||||||
\(57\) | −3.16086 | − | 6.85631i | −0.418666 | − | 0.908140i | ||||
\(58\) | 4.22621 | 0.554929 | ||||||||
\(59\) | −5.26126 | − | 4.41472i | −0.684958 | − | 0.574748i | 0.232493 | − | 0.972598i | \(-0.425312\pi\) |
−0.917450 | + | 0.397850i | \(0.869756\pi\) | |||||||
\(60\) | −5.43411 | + | 4.43923i | −0.701541 | + | 0.573102i | ||||
\(61\) | 0.740173 | + | 4.19773i | 0.0947695 | + | 0.537464i | 0.994818 | + | 0.101674i | \(0.0324199\pi\) |
−0.900048 | + | 0.435790i | \(0.856469\pi\) | |||||||
\(62\) | 4.72455 | + | 0.833066i | 0.600018 | + | 0.105799i | ||||
\(63\) | 2.67419 | − | 0.894356i | 0.336916 | − | 0.112678i | ||||
\(64\) | −3.30707 | − | 5.72801i | −0.413384 | − | 0.716001i | ||||
\(65\) | 1.98775 | − | 3.44289i | 0.246550 | − | 0.427038i | ||||
\(66\) | −3.43203 | + | 5.76781i | −0.422454 | + | 0.709968i | ||||
\(67\) | 0.918596 | + | 1.09474i | 0.112224 | + | 0.133744i | 0.819232 | − | 0.573462i | \(-0.194400\pi\) |
−0.707008 | + | 0.707206i | \(0.749955\pi\) | |||||||
\(68\) | 1.14055 | + | 0.658497i | 0.138312 | + | 0.0798545i | ||||
\(69\) | −0.636737 | − | 0.548725i | −0.0766541 | − | 0.0660587i | ||||
\(70\) | −1.20471 | + | 3.30993i | −0.143991 | + | 0.395612i | ||||
\(71\) | 0.438181 | − | 2.48505i | 0.0520026 | − | 0.294921i | −0.947704 | − | 0.319151i | \(-0.896602\pi\) |
0.999706 | + | 0.0242299i | \(0.00771337\pi\) | |||||||
\(72\) | 6.67546 | + | 5.90761i | 0.786710 | + | 0.696218i | ||||
\(73\) | 8.28206 | − | 3.01442i | 0.969342 | − | 0.352812i | 0.191654 | − | 0.981462i | \(-0.438615\pi\) |
0.777688 | + | 0.628651i | \(0.216393\pi\) | |||||||
\(74\) | −0.689912 | + | 0.822205i | −0.0802006 | + | 0.0955794i | ||||
\(75\) | 5.60624 | + | 16.0574i | 0.647353 | + | 1.85415i | ||||
\(76\) | −0.359552 | + | 4.57302i | −0.0412434 | + | 0.524562i | ||||
\(77\) | − | 3.74147i | − | 0.426380i | ||||||
\(78\) | −1.62824 | − | 0.617017i | −0.184362 | − | 0.0698634i | ||||
\(79\) | −1.50043 | − | 4.12240i | −0.168812 | − | 0.463806i | 0.826222 | − | 0.563345i | \(-0.190486\pi\) |
−0.995034 | + | 0.0995383i | \(0.968263\pi\) | |||||||
\(80\) | −2.98671 | + | 0.526637i | −0.333924 | + | 0.0588798i | ||||
\(81\) | −8.28356 | − | 3.51889i | −0.920396 | − | 0.390988i | ||||
\(82\) | 1.99336 | + | 0.725523i | 0.220130 | + | 0.0801206i | ||||
\(83\) | −3.66720 | + | 2.11726i | −0.402527 | + | 0.232399i | −0.687574 | − | 0.726114i | \(-0.741324\pi\) |
0.285047 | + | 0.958514i | \(0.407991\pi\) | |||||||
\(84\) | −1.68315 | − | 0.319678i | −0.183647 | − | 0.0348798i | ||||
\(85\) | 3.69054 | − | 3.09673i | 0.400296 | − | 0.335888i | ||||
\(86\) | −4.30799 | + | 3.61483i | −0.464542 | + | 0.389797i | ||||
\(87\) | 7.38747 | + | 1.40309i | 0.792020 | + | 0.150427i | ||||
\(88\) | 10.2432 | − | 5.91392i | 1.09193 | − | 0.630426i | ||||
\(89\) | 7.56260 | + | 2.75256i | 0.801634 | + | 0.291771i | 0.710164 | − | 0.704037i | \(-0.248621\pi\) |
0.0914708 | + | 0.995808i | \(0.470843\pi\) | |||||||
\(90\) | 9.88079 | − | 5.36304i | 1.04153 | − | 0.565315i | ||||
\(91\) | 0.955916 | − | 0.168554i | 0.100207 | − | 0.0176692i | ||||
\(92\) | 0.174671 | + | 0.479906i | 0.0182108 | + | 0.0500336i | ||||
\(93\) | 7.98199 | + | 3.02474i | 0.827694 | + | 0.313651i | ||||
\(94\) | − | 7.51939i | − | 0.775565i | ||||||
\(95\) | 15.2698 | + | 6.95742i | 1.56664 | + | 0.713816i | ||||
\(96\) | −2.95502 | − | 8.46379i | −0.301596 | − | 0.863832i | ||||
\(97\) | −6.91522 | + | 8.24124i | −0.702134 | + | 0.836771i | −0.992766 | − | 0.120064i | \(-0.961690\pi\) |
0.290632 | + | 0.956835i | \(0.406134\pi\) | |||||||
\(98\) | 5.59517 | − | 2.03647i | 0.565197 | − | 0.205715i | ||||
\(99\) | −7.91412 | + | 8.94277i | −0.795399 | + | 0.898782i | ||||
\(100\) | 1.79443 | − | 10.1767i | 0.179443 | − | 1.01767i | ||||
\(101\) | −5.98720 | + | 16.4497i | −0.595749 | + | 1.63681i | 0.163904 | + | 0.986476i | \(0.447591\pi\) |
−0.759652 | + | 0.650329i | \(0.774631\pi\) | |||||||
\(102\) | −1.59843 | − | 1.37749i | −0.158269 | − | 0.136392i | ||||
\(103\) | −1.32095 | − | 0.762653i | −0.130157 | − | 0.0751464i | 0.433508 | − | 0.901150i | \(-0.357276\pi\) |
−0.563665 | + | 0.826004i | \(0.690609\pi\) | |||||||
\(104\) | 1.97242 | + | 2.35064i | 0.193412 | + | 0.230499i | ||||
\(105\) | −3.20474 | + | 5.38583i | −0.312750 | + | 0.525603i | ||||
\(106\) | −3.75822 | + | 6.50942i | −0.365030 | + | 0.632251i | ||||
\(107\) | −5.43705 | − | 9.41724i | −0.525619 | − | 0.910399i | −0.999555 | − | 0.0298397i | \(-0.990500\pi\) |
0.473935 | − | 0.880560i | \(-0.342833\pi\) | |||||||
\(108\) | 3.34684 | + | 4.32437i | 0.322050 | + | 0.416113i | ||||
\(109\) | −13.5446 | − | 2.38827i | −1.29733 | − | 0.228755i | −0.518008 | − | 0.855376i | \(-0.673326\pi\) |
−0.779324 | + | 0.626621i | \(0.784438\pi\) | |||||||
\(110\) | −2.59034 | − | 14.6906i | −0.246980 | − | 1.40069i | ||||
\(111\) | −1.47894 | + | 1.20817i | −0.140375 | + | 0.114675i | ||||
\(112\) | −0.567246 | − | 0.475976i | −0.0535997 | − | 0.0449755i | ||||
\(113\) | −9.69889 | −0.912395 | −0.456198 | − | 0.889879i | \(-0.650789\pi\) | ||||
−0.456198 | + | 0.889879i | \(0.650789\pi\) | |||||||
\(114\) | 1.93310 | − | 7.09074i | 0.181052 | − | 0.664108i | ||||
\(115\) | 1.86820 | 0.174210 | ||||||||
\(116\) | −3.49985 | − | 2.93672i | −0.324953 | − | 0.272668i | ||||
\(117\) | −2.64134 | − | 1.61912i | −0.244192 | − | 0.149688i | ||||
\(118\) | −1.16099 | − | 6.58429i | −0.106878 | − | 0.606133i | ||||
\(119\) | 1.15841 | + | 0.204260i | 0.106192 | + | 0.0187245i | ||||
\(120\) | −19.8106 | − | 0.260717i | −1.80845 | − | 0.0238001i | ||||
\(121\) | 2.42258 | + | 4.19603i | 0.220234 | + | 0.381457i | ||||
\(122\) | −2.07470 | + | 3.59348i | −0.187834 | + | 0.325338i | ||||
\(123\) | 3.24354 | + | 1.93001i | 0.292460 | + | 0.174023i | ||||
\(124\) | −3.33365 | − | 3.97289i | −0.299371 | − | 0.356776i | ||||
\(125\) | −16.0677 | − | 9.27670i | −1.43714 | − | 0.829733i | ||||
\(126\) | 2.55382 | + | 1.00639i | 0.227512 | + | 0.0896562i | ||||
\(127\) | −3.25642 | + | 8.94695i | −0.288961 | + | 0.793913i | 0.707252 | + | 0.706962i | \(0.249935\pi\) |
−0.996213 | + | 0.0869515i | \(0.972287\pi\) | |||||||
\(128\) | −0.679490 | + | 3.85358i | −0.0600590 | + | 0.340612i | ||||
\(129\) | −8.73052 | + | 4.88853i | −0.768679 | + | 0.430411i | ||||
\(130\) | 3.63663 | − | 1.32363i | 0.318954 | − | 0.116090i | ||||
\(131\) | 10.7966 | − | 12.8668i | 0.943299 | − | 1.12418i | −0.0488102 | − | 0.998808i | \(-0.515543\pi\) |
0.992110 | − | 0.125372i | \(-0.0400126\pi\) | |||||||
\(132\) | 6.85010 | − | 2.39163i | 0.596225 | − | 0.208164i | ||||
\(133\) | 1.09519 | + | 3.94795i | 0.0949650 | + | 0.342331i | ||||
\(134\) | 1.39116i | 0.120178i | ||||||||
\(135\) | 19.0522 | − | 6.09427i | 1.63975 | − | 0.524512i | ||||
\(136\) | 1.27183 | + | 3.49432i | 0.109058 | + | 0.299635i | ||||
\(137\) | 21.0716 | − | 3.71550i | 1.80027 | − | 0.317436i | 0.829693 | − | 0.558221i | \(-0.188516\pi\) |
0.970579 | + | 0.240784i | \(0.0774046\pi\) | |||||||
\(138\) | −0.131472 | − | 0.807622i | −0.0111916 | − | 0.0687493i | ||||
\(139\) | 6.64113 | + | 2.41718i | 0.563294 | + | 0.205022i | 0.607943 | − | 0.793981i | \(-0.291995\pi\) |
−0.0446494 | + | 0.999003i | \(0.514217\pi\) | |||||||
\(140\) | 3.29767 | − | 1.90391i | 0.278704 | − | 0.160910i | ||||
\(141\) | 2.49641 | − | 13.1440i | 0.210236 | − | 1.10692i | ||||
\(142\) | 1.88174 | − | 1.57897i | 0.157912 | − | 0.132504i | ||||
\(143\) | −3.14903 | + | 2.64235i | −0.263335 | + | 0.220964i | ||||
\(144\) | 0.349013 | + | 2.33753i | 0.0290844 | + | 0.194794i | ||||
\(145\) | −14.4737 | + | 8.35637i | −1.20197 | + | 0.693959i | ||||
\(146\) | 8.06232 | + | 2.93444i | 0.667242 | + | 0.242856i | ||||
\(147\) | 10.4565 | − | 1.70220i | 0.862439 | − | 0.140395i | ||||
\(148\) | 1.14267 | − | 0.201484i | 0.0939269 | − | 0.0165619i | ||||
\(149\) | −2.02439 | − | 5.56197i | −0.165845 | − | 0.455655i | 0.828734 | − | 0.559643i | \(-0.189062\pi\) |
−0.994579 | + | 0.103988i | \(0.966840\pi\) | |||||||
\(150\) | −5.86696 | + | 15.4823i | −0.479036 | + | 1.26413i | ||||
\(151\) | − | 16.2196i | − | 1.31993i | −0.751297 | − | 0.659964i | \(-0.770571\pi\) | ||
0.751297 | − | 0.659964i | \(-0.229429\pi\) | |||||||
\(152\) | −9.07741 | + | 9.23866i | −0.736275 | + | 0.749354i | ||||
\(153\) | −2.33676 | − | 2.93855i | −0.188916 | − | 0.237567i | ||||
\(154\) | 2.34116 | − | 2.79008i | 0.188656 | − | 0.224831i | ||||
\(155\) | −17.8275 | + | 6.48868i | −1.43194 | + | 0.521184i | ||||
\(156\) | 0.919641 | + | 1.64241i | 0.0736302 | + | 0.131498i | ||||
\(157\) | −3.95357 | + | 22.4218i | −0.315529 | + | 1.78945i | 0.253708 | + | 0.967281i | \(0.418350\pi\) |
−0.569237 | + | 0.822174i | \(0.692761\pi\) | |||||||
\(158\) | 1.46062 | − | 4.01302i | 0.116201 | − | 0.319259i | ||||
\(159\) | −8.73051 | + | 10.1308i | −0.692374 | + | 0.803426i | ||||
\(160\) | 17.2555 | + | 9.96249i | 1.36417 | + | 0.787604i | ||||
\(161\) | 0.293202 | + | 0.349424i | 0.0231075 | + | 0.0275385i | ||||
\(162\) | −3.97533 | − | 7.80740i | −0.312331 | − | 0.613407i | ||||
\(163\) | −1.76026 | + | 3.04886i | −0.137874 | + | 0.238805i | −0.926692 | − | 0.375822i | \(-0.877360\pi\) |
0.788818 | + | 0.614627i | \(0.210694\pi\) | |||||||
\(164\) | −1.14660 | − | 1.98597i | −0.0895346 | − | 0.155079i | ||||
\(165\) | 0.349269 | − | 26.5393i | 0.0271905 | − | 2.06608i | ||||
\(166\) | −4.05954 | − | 0.715806i | −0.315081 | − | 0.0555573i | ||||
\(167\) | 1.25909 | + | 7.14068i | 0.0974316 | + | 0.552562i | 0.993975 | + | 0.109606i | \(0.0349591\pi\) |
−0.896543 | + | 0.442956i | \(0.853930\pi\) | |||||||
\(168\) | −3.06039 | − | 3.74626i | −0.236114 | − | 0.289030i | ||||
\(169\) | 9.14161 | + | 7.67072i | 0.703201 | + | 0.590056i | ||||
\(170\) | 4.68984 | 0.359694 | ||||||||
\(171\) | 5.73318 | − | 11.7529i | 0.438428 | − | 0.898767i | ||||
\(172\) | 6.07944 | 0.463553 | ||||||||
\(173\) | 11.9969 | + | 10.0666i | 0.912110 | + | 0.765351i | 0.972519 | − | 0.232823i | \(-0.0747962\pi\) |
−0.0604095 | + | 0.998174i | \(0.519241\pi\) | |||||||
\(174\) | 4.63102 | + | 5.66889i | 0.351077 | + | 0.429758i | ||||
\(175\) | −1.60271 | − | 9.08943i | −0.121154 | − | 0.687096i | ||||
\(176\) | 3.08833 | + | 0.544555i | 0.232791 | + | 0.0410474i | ||||
\(177\) | 0.156542 | − | 11.8948i | 0.0117664 | − | 0.894071i | ||||
\(178\) | 3.91721 | + | 6.78481i | 0.293607 | + | 0.508543i | ||||
\(179\) | −6.47528 | + | 11.2155i | −0.483985 | + | 0.838287i | −0.999831 | − | 0.0183944i | \(-0.994145\pi\) |
0.515845 | + | 0.856682i | \(0.327478\pi\) | |||||||
\(180\) | −11.9092 | − | 2.42469i | −0.887662 | − | 0.180726i | ||||
\(181\) | 2.54385 | + | 3.03164i | 0.189083 | + | 0.225340i | 0.852255 | − | 0.523127i | \(-0.175235\pi\) |
−0.663172 | + | 0.748467i | \(0.730790\pi\) | |||||||
\(182\) | 0.818315 | + | 0.472454i | 0.0606575 | + | 0.0350206i | ||||
\(183\) | −4.81961 | + | 5.59265i | −0.356276 | + | 0.413421i | ||||
\(184\) | −0.493190 | + | 1.35503i | −0.0363585 | + | 0.0998941i | ||||
\(185\) | 0.737042 | − | 4.17997i | 0.0541884 | − | 0.307318i | ||||
\(186\) | 4.05964 | + | 7.25020i | 0.297667 | + | 0.531610i | ||||
\(187\) | −4.68115 | + | 1.70380i | −0.342320 | + | 0.124594i | ||||
\(188\) | −5.22508 | + | 6.22701i | −0.381078 | + | 0.454152i | ||||
\(189\) | 4.12999 | + | 2.60704i | 0.300412 | + | 0.189634i | ||||
\(190\) | 7.03347 | + | 14.7431i | 0.510262 | + | 1.06957i | ||||
\(191\) | 15.8889i | 1.14968i | 0.818266 | + | 0.574840i | \(0.194936\pi\) | ||||
−0.818266 | + | 0.574840i | \(0.805064\pi\) | |||||||
\(192\) | 4.05951 | − | 10.7126i | 0.292970 | − | 0.773119i | ||||
\(193\) | −5.39307 | − | 14.8173i | −0.388202 | − | 1.06657i | −0.967810 | − | 0.251680i | \(-0.919017\pi\) |
0.579609 | − | 0.814895i | \(-0.303205\pi\) | |||||||
\(194\) | −10.3136 | + | 1.81857i | −0.740475 | + | 0.130566i | ||||
\(195\) | 6.79631 | − | 1.10636i | 0.486694 | − | 0.0792283i | ||||
\(196\) | −6.04862 | − | 2.20152i | −0.432044 | − | 0.157251i | ||||
\(197\) | 3.60442 | − | 2.08101i | 0.256804 | − | 0.148266i | −0.366072 | − | 0.930587i | \(-0.619297\pi\) |
0.622876 | + | 0.782321i | \(0.285964\pi\) | |||||||
\(198\) | −11.4975 | + | 1.71667i | −0.817091 | + | 0.121999i | ||||
\(199\) | 17.0487 | − | 14.3056i | 1.20855 | − | 1.01410i | 0.209208 | − | 0.977871i | \(-0.432912\pi\) |
0.999344 | − | 0.0362239i | \(-0.0115329\pi\) | |||||||
\(200\) | 22.3513 | − | 18.7550i | 1.58047 | − | 1.32618i | ||||
\(201\) | −0.461862 | + | 2.43177i | −0.0325772 | + | 0.171524i | ||||
\(202\) | −14.7579 | + | 8.52047i | −1.03836 | + | 0.599498i | ||||
\(203\) | −3.83451 | − | 1.39565i | −0.269130 | − | 0.0979552i | ||||
\(204\) | 0.366513 | + | 2.25146i | 0.0256610 | + | 0.157634i | ||||
\(205\) | −8.26127 | + | 1.45669i | −0.576992 | + | 0.101739i | ||||
\(206\) | −0.507844 | − | 1.39529i | −0.0353831 | − | 0.0972144i | ||||
\(207\) | 0.0383135 | − | 1.45538i | 0.00266298 | − | 0.101156i | ||||
\(208\) | 0.813576i | 0.0564114i | ||||||||
\(209\) | −12.3766 | − | 12.1605i | −0.856104 | − | 0.841162i | ||||
\(210\) | −5.75992 | + | 2.01100i | −0.397472 | + | 0.138773i | ||||
\(211\) | 11.8117 | − | 14.0766i | 0.813151 | − | 0.969076i | −0.186760 | − | 0.982406i | \(-0.559799\pi\) |
0.999911 | + | 0.0133296i | \(0.00424307\pi\) | |||||||
\(212\) | 7.63556 | − | 2.77912i | 0.524412 | − | 0.190871i | ||||
\(213\) | 3.81351 | − | 2.13532i | 0.261297 | − | 0.146310i | ||||
\(214\) | 1.83817 | − | 10.4248i | 0.125654 | − | 0.712622i | ||||
\(215\) | 7.60621 | − | 20.8979i | 0.518739 | − | 1.42522i | ||||
\(216\) | −0.609387 | + | 15.4277i | −0.0414636 | + | 1.04972i | ||||
\(217\) | −4.01155 | − | 2.31607i | −0.272322 | − | 0.157225i | ||||
\(218\) | −8.60601 | − | 10.2562i | −0.582873 | − | 0.694641i | ||||
\(219\) | 13.1188 | + | 7.80610i | 0.886486 | + | 0.527487i | ||||
\(220\) | −8.06307 | + | 13.9656i | −0.543612 | + | 0.941564i | ||||
\(221\) | −0.646195 | − | 1.11924i | −0.0434678 | − | 0.0752884i | ||||
\(222\) | −1.85887 | − | 0.0244636i | −0.124759 | − | 0.00164189i | ||||
\(223\) | −25.0726 | − | 4.42098i | −1.67899 | − | 0.296051i | −0.748708 | − | 0.662900i | \(-0.769325\pi\) |
−0.930280 | + | 0.366849i | \(0.880436\pi\) | |||||||
\(224\) | 0.844782 | + | 4.79100i | 0.0564444 | + | 0.320112i | ||||
\(225\) | −15.3956 | + | 25.1155i | −1.02637 | + | 1.67436i | ||||
\(226\) | −7.23265 | − | 6.06892i | −0.481109 | − | 0.403698i | ||||
\(227\) | 8.03209 | 0.533109 | 0.266554 | − | 0.963820i | \(-0.414115\pi\) | ||||
0.266554 | + | 0.963820i | \(0.414115\pi\) | |||||||
\(228\) | −6.52808 | + | 4.52876i | −0.432333 | + | 0.299924i | ||||
\(229\) | −5.34452 | −0.353176 | −0.176588 | − | 0.984285i | \(-0.556506\pi\) | ||||
−0.176588 | + | 0.984285i | \(0.556506\pi\) | |||||||
\(230\) | 1.39315 | + | 1.16899i | 0.0918617 | + | 0.0770811i | ||||
\(231\) | 5.01867 | − | 4.09984i | 0.330204 | − | 0.269750i | ||||
\(232\) | −2.24005 | − | 12.7040i | −0.147066 | − | 0.834055i | ||||
\(233\) | 4.41323 | + | 0.778172i | 0.289120 | + | 0.0509797i | 0.316327 | − | 0.948650i | \(-0.397550\pi\) |
−0.0272070 | + | 0.999630i | \(0.508661\pi\) | |||||||
\(234\) | −0.956561 | − | 2.86019i | −0.0625324 | − | 0.186976i | ||||
\(235\) | 14.8679 | + | 25.7519i | 0.969872 | + | 1.67987i | ||||
\(236\) | −3.61385 | + | 6.25938i | −0.235242 | + | 0.407451i | ||||
\(237\) | 3.88549 | − | 6.52988i | 0.252390 | − | 0.424162i | ||||
\(238\) | 0.736040 | + | 0.877179i | 0.0477104 | + | 0.0568590i | ||||
\(239\) | 6.74189 | + | 3.89243i | 0.436096 | + | 0.251780i | 0.701940 | − | 0.712236i | \(-0.252317\pi\) |
−0.265844 | + | 0.964016i | \(0.585651\pi\) | |||||||
\(240\) | −3.97920 | − | 3.42918i | −0.256856 | − | 0.221352i | ||||
\(241\) | 5.91131 | − | 16.2412i | 0.380781 | − | 1.04619i | −0.590247 | − | 0.807222i | \(-0.700970\pi\) |
0.971028 | − | 0.238964i | \(-0.0768079\pi\) | |||||||
\(242\) | −0.819029 | + | 4.64495i | −0.0526492 | + | 0.298588i | ||||
\(243\) | −4.35688 | − | 14.9672i | −0.279494 | − | 0.960147i | ||||
\(244\) | 4.21516 | − | 1.53419i | 0.269848 | − | 0.0982166i | ||||
\(245\) | −15.1353 | + | 18.0375i | −0.966958 | + | 1.15238i | ||||
\(246\) | 1.21110 | + | 3.46884i | 0.0772169 | + | 0.221165i | ||||
\(247\) | 2.54936 | − | 3.70995i | 0.162212 | − | 0.236059i | ||||
\(248\) | − | 14.6435i | − | 0.929863i | ||||||
\(249\) | −6.85847 | − | 2.59899i | −0.434638 | − | 0.164704i | ||||
\(250\) | −6.17727 | − | 16.9719i | −0.390685 | − | 1.07340i | ||||
\(251\) | −8.62554 | + | 1.52092i | −0.544439 | + | 0.0959994i | −0.439102 | − | 0.898437i | \(-0.644703\pi\) |
−0.105337 | + | 0.994437i | \(0.533592\pi\) | |||||||
\(252\) | −1.41557 | − | 2.60802i | −0.0891725 | − | 0.164290i | ||||
\(253\) | −1.81526 | − | 0.660702i | −0.114125 | − | 0.0415380i | ||||
\(254\) | −8.02678 | + | 4.63426i | −0.503645 | + | 0.290779i | ||||
\(255\) | 8.19789 | + | 1.55701i | 0.513371 | + | 0.0975037i | ||||
\(256\) | −13.0515 | + | 10.9515i | −0.815717 | + | 0.684468i | ||||
\(257\) | −18.4633 | + | 15.4925i | −1.15171 | + | 0.966398i | −0.999758 | − | 0.0219902i | \(-0.993000\pi\) |
−0.151950 | + | 0.988388i | \(0.548555\pi\) | |||||||
\(258\) | −9.56943 | − | 1.81750i | −0.595767 | − | 0.113153i | ||||
\(259\) | 0.897489 | − | 0.518165i | 0.0557672 | − | 0.0321972i | ||||
\(260\) | −3.93136 | − | 1.43090i | −0.243813 | − | 0.0887405i | ||||
\(261\) | 6.21302 | + | 11.4468i | 0.384576 | + | 0.708537i | ||||
\(262\) | 16.1024 | − | 2.83929i | 0.994810 | − | 0.175412i | ||||
\(263\) | −4.76306 | − | 13.0864i | −0.293703 | − | 0.806941i | −0.995517 | − | 0.0945816i | \(-0.969849\pi\) |
0.701814 | − | 0.712360i | \(-0.252374\pi\) | |||||||
\(264\) | 19.1571 | + | 7.25949i | 1.17904 | + | 0.446791i | ||||
\(265\) | − | 29.7240i | − | 1.82593i | ||||||
\(266\) | −1.65366 | + | 3.62936i | −0.101392 | + | 0.222530i | ||||
\(267\) | 4.59479 | + | 13.1604i | 0.281197 | + | 0.805404i | ||||
\(268\) | 0.966694 | − | 1.15206i | 0.0590503 | − | 0.0703734i | ||||
\(269\) | 19.4257 | − | 7.07039i | 1.18441 | − | 0.431089i | 0.326652 | − | 0.945145i | \(-0.394080\pi\) |
0.857757 | + | 0.514055i | \(0.171857\pi\) | |||||||
\(270\) | 18.0210 | + | 7.37699i | 1.09672 | + | 0.448949i | ||||
\(271\) | 0.727540 | − | 4.12608i | 0.0441949 | − | 0.250642i | −0.954704 | − | 0.297557i | \(-0.903828\pi\) |
0.998899 | + | 0.0469156i | \(0.0149392\pi\) | |||||||
\(272\) | −0.337205 | + | 0.926463i | −0.0204461 | + | 0.0561751i | ||||
\(273\) | 1.27357 | + | 1.09753i | 0.0770800 | + | 0.0664257i | ||||
\(274\) | 18.0384 | + | 10.4145i | 1.08974 | + | 0.629163i | ||||
\(275\) | 25.1251 | + | 29.9429i | 1.51510 | + | 1.80562i | ||||
\(276\) | −0.452326 | + | 0.760171i | −0.0272268 | + | 0.0457569i | ||||
\(277\) | −2.59286 | + | 4.49097i | −0.155790 | + | 0.269836i | −0.933346 | − | 0.358977i | \(-0.883126\pi\) |
0.777556 | + | 0.628813i | \(0.216459\pi\) | |||||||
\(278\) | 3.43992 | + | 5.95811i | 0.206312 | + | 0.357344i | ||||
\(279\) | 4.68926 | + | 14.0212i | 0.280739 | + | 0.839428i | ||||
\(280\) | 10.5881 | + | 1.86698i | 0.632763 | + | 0.111573i | ||||
\(281\) | −3.26188 | − | 18.4991i | −0.194588 | − | 1.10356i | −0.913005 | − | 0.407949i | \(-0.866244\pi\) |
0.718417 | − | 0.695613i | \(-0.244867\pi\) | |||||||
\(282\) | 10.0862 | − | 8.23962i | 0.600626 | − | 0.490662i | ||||
\(283\) | −8.43214 | − | 7.07541i | −0.501239 | − | 0.420589i | 0.356795 | − | 0.934183i | \(-0.383870\pi\) |
−0.858034 | + | 0.513593i | \(0.828314\pi\) | |||||||
\(284\) | −2.65551 | −0.157576 | ||||||||
\(285\) | 7.39994 | + | 28.1061i | 0.438335 | + | 1.66486i | ||||
\(286\) | −4.00170 | −0.236625 | ||||||||
\(287\) | −1.56901 | − | 1.31656i | −0.0926158 | − | 0.0777138i | ||||
\(288\) | 8.11495 | − | 13.2382i | 0.478178 | − | 0.780071i | ||||
\(289\) | 2.68006 | + | 15.1994i | 0.157650 | + | 0.894080i | ||||
\(290\) | −16.0221 | − | 2.82513i | −0.940852 | − | 0.165898i | ||||
\(291\) | −18.6321 | − | 0.245207i | −1.09223 | − | 0.0143743i | ||||
\(292\) | −4.63754 | − | 8.03245i | −0.271391 | − | 0.470064i | ||||
\(293\) | 11.4509 | − | 19.8336i | 0.668970 | − | 1.15869i | −0.309222 | − | 0.950990i | \(-0.600069\pi\) |
0.978192 | − | 0.207701i | \(-0.0665980\pi\) | |||||||
\(294\) | 8.86275 | + | 5.27362i | 0.516886 | + | 0.307564i | ||||
\(295\) | 16.9950 | + | 20.2538i | 0.989486 | + | 1.17922i | ||||
\(296\) | 2.83722 | + | 1.63807i | 0.164910 | + | 0.0952108i | ||||
\(297\) | −20.6677 | − | 0.816365i | −1.19926 | − | 0.0473703i | ||||
\(298\) | 1.97068 | − | 5.41440i | 0.114158 | − | 0.313648i | ||||
\(299\) | 0.0870263 | − | 0.493551i | 0.00503286 | − | 0.0285428i | ||||
\(300\) | 15.6170 | − | 8.74450i | 0.901647 | − | 0.504864i | ||||
\(301\) | 5.10245 | − | 1.85714i | 0.294100 | − | 0.107044i | ||||
\(302\) | 10.1491 | − | 12.0952i | 0.584015 | − | 0.696002i | ||||
\(303\) | −28.6257 | + | 9.99430i | −1.64450 | + | 0.574158i | ||||
\(304\) | −3.41817 | + | 0.329397i | −0.196045 | + | 0.0188922i | ||||
\(305\) | − | 16.4089i | − | 0.939573i | ||||||
\(306\) | 0.0961806 | − | 3.65352i | 0.00549828 | − | 0.208858i | ||||
\(307\) | 7.35296 | + | 20.2021i | 0.419655 | + | 1.15299i | 0.951902 | + | 0.306404i | \(0.0991259\pi\) |
−0.532246 | + | 0.846590i | \(0.678652\pi\) | |||||||
\(308\) | −3.87756 | + | 0.683718i | −0.220944 | + | 0.0389584i | ||||
\(309\) | −0.424485 | − | 2.60758i | −0.0241481 | − | 0.148340i | ||||
\(310\) | −17.3545 | − | 6.31652i | −0.985670 | − | 0.358754i | ||||
\(311\) | 6.19121 | − | 3.57450i | 0.351071 | − | 0.202691i | −0.314086 | − | 0.949395i | \(-0.601698\pi\) |
0.665157 | + | 0.746704i | \(0.268365\pi\) | |||||||
\(312\) | −0.991715 | + | 5.22153i | −0.0561448 | + | 0.295611i | ||||
\(313\) | 3.43872 | − | 2.88543i | 0.194368 | − | 0.163094i | −0.540410 | − | 0.841402i | \(-0.681731\pi\) |
0.734778 | + | 0.678308i | \(0.237286\pi\) | |||||||
\(314\) | −16.9783 | + | 14.2465i | −0.958141 | + | 0.803976i | ||||
\(315\) | −10.7361 | + | 1.60298i | −0.604908 | + | 0.0903179i | ||||
\(316\) | −3.99816 | + | 2.30834i | −0.224914 | + | 0.129854i | ||||
\(317\) | −10.4058 | − | 3.78740i | −0.584448 | − | 0.212722i | 0.0328380 | − | 0.999461i | \(-0.489545\pi\) |
−0.617286 | + | 0.786739i | \(0.711768\pi\) | |||||||
\(318\) | −12.8497 | + | 2.09179i | −0.720575 | + | 0.117302i | ||||
\(319\) | 17.0188 | − | 3.00088i | 0.952872 | − | 0.168017i | ||||
\(320\) | 8.70848 | + | 23.9263i | 0.486819 | + | 1.33752i | ||||
\(321\) | 6.67412 | − | 17.6123i | 0.372513 | − | 0.983024i | ||||
\(322\) | 0.444038i | 0.0247453i | ||||||||
\(323\) | 4.44077 | − | 3.16808i | 0.247091 | − | 0.176277i | ||||
\(324\) | −2.13314 | + | 9.22791i | −0.118508 | + | 0.512662i | ||||
\(325\) | −6.51829 | + | 7.76819i | −0.361570 | + | 0.430902i | ||||
\(326\) | −3.22043 | + | 1.17214i | −0.178363 | + | 0.0649189i | ||||
\(327\) | −11.6384 | − | 20.7852i | −0.643603 | − | 1.14942i | ||||
\(328\) | 1.12436 | − | 6.37657i | 0.0620824 | − | 0.352087i | ||||
\(329\) | −2.48317 | + | 6.82245i | −0.136902 | + | 0.376134i | ||||
\(330\) | 16.8669 | − | 19.5723i | 0.928494 | − | 1.07742i | ||||
\(331\) | −17.4647 | − | 10.0833i | −0.959948 | − | 0.554226i | −0.0637910 | − | 0.997963i | \(-0.520319\pi\) |
−0.896157 | + | 0.443737i | \(0.853652\pi\) | |||||||
\(332\) | 2.86442 | + | 3.41368i | 0.157205 | + | 0.187350i | ||||
\(333\) | −3.24120 | − | 0.659901i | −0.177617 | − | 0.0361624i | ||||
\(334\) | −3.52923 | + | 6.11280i | −0.193111 | + | 0.334477i | ||||
\(335\) | −2.75071 | − | 4.76436i | −0.150287 | − | 0.260305i | ||||
\(336\) | 0.0168776 | − | 1.28245i | 0.000920749 | − | 0.0699633i | ||||
\(337\) | 7.33303 | + | 1.29301i | 0.399455 | + | 0.0704348i | 0.369767 | − | 0.929124i | \(-0.379437\pi\) |
0.0296882 | + | 0.999559i | \(0.490549\pi\) | |||||||
\(338\) | 2.01725 | + | 11.4404i | 0.109724 | + | 0.622276i | ||||
\(339\) | −10.6279 | − | 13.0097i | −0.577228 | − | 0.706592i | ||||
\(340\) | −3.88378 | − | 3.25888i | −0.210628 | − | 0.176738i | ||||
\(341\) | 19.6171 | 1.06233 | ||||||||
\(342\) | 11.6295 | − | 5.17692i | 0.628852 | − | 0.279936i | ||||
\(343\) | −12.3286 | −0.665681 | ||||||||
\(344\) | 13.1495 | + | 11.0338i | 0.708975 | + | 0.594901i | ||||
\(345\) | 2.04714 | + | 2.50593i | 0.110214 | + | 0.134915i | ||||
\(346\) | 2.64733 | + | 15.0137i | 0.142321 | + | 0.807144i | ||||
\(347\) | −20.4261 | − | 3.60168i | −1.09653 | − | 0.193348i | −0.404017 | − | 0.914751i | \(-0.632387\pi\) |
−0.692516 | + | 0.721403i | \(0.743498\pi\) | |||||||
\(348\) | 0.104133 | − | 7.91258i | 0.00558212 | − | 0.424159i | ||||
\(349\) | −3.98587 | − | 6.90373i | −0.213359 | − | 0.369548i | 0.739405 | − | 0.673261i | \(-0.235107\pi\) |
−0.952764 | + | 0.303713i | \(0.901774\pi\) | |||||||
\(350\) | 4.49238 | − | 7.78103i | 0.240128 | − | 0.415914i | ||||
\(351\) | −0.722508 | − | 5.31721i | −0.0385646 | − | 0.283812i | ||||
\(352\) | −13.2433 | − | 15.7828i | −0.705871 | − | 0.841224i | ||||
\(353\) | 20.0695 | + | 11.5871i | 1.06819 | + | 0.616721i | 0.927687 | − | 0.373359i | \(-0.121794\pi\) |
0.140505 | + | 0.990080i | \(0.455127\pi\) | |||||||
\(354\) | 7.55973 | − | 8.77226i | 0.401795 | − | 0.466241i | ||||
\(355\) | −3.32241 | + | 9.12824i | −0.176335 | + | 0.484477i | ||||
\(356\) | 1.47069 | − | 8.34069i | 0.0779463 | − | 0.442055i | ||||
\(357\) | 0.995386 | + | 1.77768i | 0.0526814 | + | 0.0940848i | ||||
\(358\) | −11.8467 | + | 4.31183i | −0.626116 | + | 0.227887i | ||||
\(359\) | −4.97359 | + | 5.92729i | −0.262496 | + | 0.312831i | −0.881154 | − | 0.472830i | \(-0.843232\pi\) |
0.618658 | + | 0.785661i | \(0.287677\pi\) | |||||||
\(360\) | −21.3584 | − | 26.8589i | −1.12569 | − | 1.41559i | ||||
\(361\) | 16.6192 | + | 9.20883i | 0.874694 | + | 0.484675i | ||||
\(362\) | 3.85252i | 0.202484i | ||||||||
\(363\) | −2.97378 | + | 7.84750i | −0.156083 | + | 0.411887i | ||||
\(364\) | −0.349369 | − | 0.959885i | −0.0183119 | − | 0.0503116i | ||||
\(365\) | −33.4135 | + | 5.89170i | −1.74894 | + | 0.308385i | ||||
\(366\) | −7.09358 | + | 1.15476i | −0.370788 | + | 0.0603600i | ||||
\(367\) | −8.07339 | − | 2.93847i | −0.421427 | − | 0.153387i | 0.122597 | − | 0.992457i | \(-0.460878\pi\) |
−0.544024 | + | 0.839070i | \(0.683100\pi\) | |||||||
\(368\) | −0.331100 | + | 0.191161i | −0.0172598 | + | 0.00996495i | ||||
\(369\) | 0.965375 | + | 6.46564i | 0.0502554 | + | 0.336588i | ||||
\(370\) | 3.16517 | − | 2.65590i | 0.164550 | − | 0.138073i | ||||
\(371\) | 5.55953 | − | 4.66500i | 0.288636 | − | 0.242195i | ||||
\(372\) | 1.67613 | − | 8.82506i | 0.0869032 | − | 0.457558i | ||||
\(373\) | 12.7094 | − | 7.33779i | 0.658069 | − | 0.379936i | −0.133472 | − | 0.991053i | \(-0.542613\pi\) |
0.791541 | + | 0.611116i | \(0.209279\pi\) | |||||||
\(374\) | −4.55695 | − | 1.65859i | −0.235634 | − | 0.0857639i | ||||
\(375\) | −5.16332 | − | 31.7179i | −0.266633 | − | 1.63791i | ||||
\(376\) | −22.6032 | + | 3.98555i | −1.16567 | + | 0.205539i | ||||
\(377\) | 1.53340 | + | 4.21299i | 0.0789743 | + | 0.216980i | ||||
\(378\) | 1.44850 | + | 4.52839i | 0.0745030 | + | 0.232915i | ||||
\(379\) | 24.4001i | 1.25335i | 0.779282 | + | 0.626674i | \(0.215584\pi\) | ||||
−0.779282 | + | 0.626674i | \(0.784416\pi\) | |||||||
\(380\) | 4.42008 | − | 17.0966i | 0.226745 | − | 0.877036i | ||||
\(381\) | −15.5694 | + | 5.43588i | −0.797647 | + | 0.278488i | ||||
\(382\) | −9.94220 | + | 11.8487i | −0.508687 | + | 0.606230i | ||||
\(383\) | 0.785119 | − | 0.285760i | 0.0401177 | − | 0.0146017i | −0.321883 | − | 0.946779i | \(-0.604316\pi\) |
0.362001 | + | 0.932178i | \(0.382094\pi\) | |||||||
\(384\) | −5.91363 | + | 3.31125i | −0.301779 | + | 0.168976i | ||||
\(385\) | −2.50109 | + | 14.1844i | −0.127467 | + | 0.722904i | ||||
\(386\) | 5.24998 | − | 14.4242i | 0.267217 | − | 0.734172i | ||||
\(387\) | −16.1241 | − | 6.35403i | −0.819632 | − | 0.322994i | ||||
\(388\) | 9.80469 | + | 5.66074i | 0.497758 | + | 0.287381i | ||||
\(389\) | 2.71775 | + | 3.23889i | 0.137795 | + | 0.164218i | 0.830529 | − | 0.556975i | \(-0.188038\pi\) |
−0.692734 | + | 0.721194i | \(0.743594\pi\) | |||||||
\(390\) | 5.76043 | + | 3.42764i | 0.291691 | + | 0.173565i | ||||
\(391\) | 0.303665 | − | 0.525963i | 0.0153570 | − | 0.0265991i | ||||
\(392\) | −9.08726 | − | 15.7396i | −0.458976 | − | 0.794970i | ||||
\(393\) | 29.0898 | + | 0.382835i | 1.46739 | + | 0.0193115i | ||||
\(394\) | 3.99005 | + | 0.703553i | 0.201016 | + | 0.0354445i | ||||
\(395\) | 2.93259 | + | 16.6316i | 0.147555 | + | 0.836825i | ||||
\(396\) | 10.7143 | + | 6.56777i | 0.538413 | + | 0.330043i | ||||
\(397\) | 19.0110 | + | 15.9522i | 0.954137 | + | 0.800616i | 0.979989 | − | 0.199050i | \(-0.0637857\pi\) |
−0.0258527 | + | 0.999666i | \(0.508230\pi\) | |||||||
\(398\) | 21.6650 | 1.08597 | ||||||||
\(399\) | −4.09555 | + | 5.79515i | −0.205034 | + | 0.290120i | ||||
\(400\) | 7.73597 | 0.386799 | ||||||||
\(401\) | −18.0223 | − | 15.1225i | −0.899990 | − | 0.755181i | 0.0701986 | − | 0.997533i | \(-0.477637\pi\) |
−0.970188 | + | 0.242352i | \(0.922081\pi\) | |||||||
\(402\) | −1.86606 | + | 1.52442i | −0.0930705 | + | 0.0760309i | ||||
\(403\) | 0.883756 | + | 5.01203i | 0.0440230 | + | 0.249667i | ||||
\(404\) | 18.1421 | + | 3.19895i | 0.902605 | + | 0.159154i | ||||
\(405\) | 29.0518 | + | 18.8780i | 1.44359 | + | 0.938054i | ||||
\(406\) | −1.98616 | − | 3.44014i | −0.0985717 | − | 0.170731i | ||||
\(407\) | −2.19444 | + | 3.80087i | −0.108774 | + | 0.188402i | ||||
\(408\) | −3.29350 | + | 5.53500i | −0.163053 | + | 0.274023i | ||||
\(409\) | −3.18484 | − | 3.79554i | −0.157480 | − | 0.187677i | 0.681535 | − | 0.731785i | \(-0.261313\pi\) |
−0.839015 | + | 0.544108i | \(0.816868\pi\) | |||||||
\(410\) | −7.07209 | − | 4.08307i | −0.349266 | − | 0.201649i | ||||
\(411\) | 28.0738 | + | 24.1933i | 1.38478 | + | 1.19337i | ||||
\(412\) | −0.549001 | + | 1.50837i | −0.0270474 | + | 0.0743120i | ||||
\(413\) | −1.12098 | + | 6.35742i | −0.0551601 | + | 0.312828i | ||||
\(414\) | 0.939250 | − | 1.06133i | 0.0461616 | − | 0.0521615i | ||||
\(415\) | 15.3182 | − | 5.57536i | 0.751940 | − | 0.273684i | ||||
\(416\) | 3.43576 | − | 4.09458i | 0.168452 | − | 0.200753i | ||||
\(417\) | 4.03494 | + | 11.5569i | 0.197592 | + | 0.565943i | ||||
\(418\) | −1.62019 | − | 16.8128i | −0.0792460 | − | 0.822339i | ||||
\(419\) | − | 15.3248i | − | 0.748666i | −0.927294 | − | 0.374333i | \(-0.877872\pi\) | ||
0.927294 | − | 0.374333i | \(-0.122128\pi\) | |||||||
\(420\) | 6.16736 | + | 2.33710i | 0.300936 | + | 0.114039i | ||||
\(421\) | −2.52944 | − | 6.94957i | −0.123277 | − | 0.338701i | 0.862668 | − | 0.505771i | \(-0.168792\pi\) |
−0.985945 | + | 0.167069i | \(0.946570\pi\) | |||||||
\(422\) | 17.6164 | − | 3.10625i | 0.857555 | − | 0.151210i | ||||
\(423\) | 20.3664 | − | 11.0544i | 0.990247 | − | 0.537481i | ||||
\(424\) | 21.5592 | + | 7.84692i | 1.04701 | + | 0.381080i | ||||
\(425\) | −10.6424 | + | 6.14441i | −0.516234 | + | 0.298048i | ||||
\(426\) | 4.17995 | + | 0.793889i | 0.202519 | + | 0.0384641i | ||||
\(427\) | 3.06910 | − | 2.57528i | 0.148524 | − | 0.124627i | ||||
\(428\) | −8.76621 | + | 7.35572i | −0.423731 | + | 0.355552i | ||||
\(429\) | −6.99501 | − | 1.32855i | −0.337722 | − | 0.0641430i | ||||
\(430\) | 18.7486 | − | 10.8245i | 0.904137 | − | 0.522004i | ||||
\(431\) | −21.0743 | − | 7.67041i | −1.01511 | − | 0.369471i | −0.219719 | − | 0.975563i | \(-0.570514\pi\) |
−0.795394 | + | 0.606093i | \(0.792736\pi\) | |||||||
\(432\) | −2.75303 | + | 3.02958i | −0.132455 | + | 0.145761i | ||||
\(433\) | 4.97197 | − | 0.876693i | 0.238938 | − | 0.0421312i | −0.0528968 | − | 0.998600i | \(-0.516845\pi\) |
0.291835 | + | 0.956469i | \(0.405734\pi\) | |||||||
\(434\) | −1.54225 | − | 4.23729i | −0.0740303 | − | 0.203397i | ||||
\(435\) | −27.0689 | − | 10.2577i | −1.29786 | − | 0.491817i | ||||
\(436\) | 14.4736i | 0.693162i | ||||||||
\(437\) | 2.10884 | + | 0.165807i | 0.100880 | + | 0.00793161i | ||||
\(438\) | 4.89840 | + | 14.0300i | 0.234055 | + | 0.670380i | ||||
\(439\) | 6.97583 | − | 8.31347i | 0.332938 | − | 0.396780i | −0.573440 | − | 0.819248i | \(-0.694391\pi\) |
0.906378 | + | 0.422467i | \(0.138836\pi\) | |||||||
\(440\) | −42.7867 | + | 15.5731i | −2.03978 | + | 0.742418i | ||||
\(441\) | 13.7414 | + | 12.1607i | 0.654350 | + | 0.579083i | ||||
\(442\) | 0.218467 | − | 1.23899i | 0.0103914 | − | 0.0589326i | ||||
\(443\) | 0.466572 | − | 1.28190i | 0.0221675 | − | 0.0609047i | −0.928115 | − | 0.372293i | \(-0.878572\pi\) |
0.950283 | + | 0.311388i | \(0.100794\pi\) | |||||||
\(444\) | 1.52238 | + | 1.31195i | 0.0722491 | + | 0.0622626i | ||||
\(445\) | −26.8308 | − | 15.4908i | −1.27190 | − | 0.734333i | ||||
\(446\) | −15.9308 | − | 18.9856i | −0.754345 | − | 0.898993i | ||||
\(447\) | 5.24233 | − | 8.81017i | 0.247954 | − | 0.416707i | ||||
\(448\) | −3.10840 | + | 5.38391i | −0.146858 | + | 0.254366i | ||||
\(449\) | 12.5605 | + | 21.7554i | 0.592767 | + | 1.02670i | 0.993858 | + | 0.110664i | \(0.0352977\pi\) |
−0.401091 | + | 0.916038i | \(0.631369\pi\) | |||||||
\(450\) | −27.1964 | + | 9.09556i | −1.28205 | + | 0.428769i | ||||
\(451\) | 8.54236 | + | 1.50625i | 0.402244 | + | 0.0709265i | ||||
\(452\) | 1.77238 | + | 10.0517i | 0.0833658 | + | 0.472791i | ||||
\(453\) | 21.7563 | − | 17.7731i | 1.02220 | − | 0.835054i | ||||
\(454\) | 5.98969 | + | 5.02594i | 0.281110 | + | 0.235879i | ||||
\(455\) | −3.73668 | −0.175178 | ||||||||
\(456\) | −22.3393 | − | 2.05253i | −1.04613 | − | 0.0961187i | ||||
\(457\) | 18.4143 | 0.861385 | 0.430692 | − | 0.902499i | \(-0.358269\pi\) | ||||
0.430692 | + | 0.902499i | \(0.358269\pi\) | |||||||
\(458\) | −3.98551 | − | 3.34424i | −0.186231 | − | 0.156266i | ||||
\(459\) | 1.38108 | − | 6.35446i | 0.0644633 | − | 0.296601i | ||||
\(460\) | −0.341396 | − | 1.93615i | −0.0159177 | − | 0.0902735i | ||||
\(461\) | 24.2759 | + | 4.28049i | 1.13064 | + | 0.199362i | 0.707508 | − | 0.706706i | \(-0.249819\pi\) |
0.423132 | + | 0.906068i | \(0.360931\pi\) | |||||||
\(462\) | 6.30792 | + | 0.0830151i | 0.293471 | + | 0.00386221i | ||||
\(463\) | −2.54672 | − | 4.41106i | −0.118356 | − | 0.204999i | 0.800760 | − | 0.598985i | \(-0.204429\pi\) |
−0.919116 | + | 0.393986i | \(0.871096\pi\) | |||||||
\(464\) | 1.71011 | − | 2.96199i | 0.0793898 | − | 0.137507i | ||||
\(465\) | −28.2388 | − | 16.8030i | −1.30954 | − | 0.779220i | ||||
\(466\) | 2.80410 | + | 3.34180i | 0.129898 | + | 0.154806i | ||||
\(467\) | −2.55047 | − | 1.47252i | −0.118022 | − | 0.0681399i | 0.439827 | − | 0.898083i | \(-0.355040\pi\) |
−0.557849 | + | 0.829943i | \(0.688373\pi\) | |||||||
\(468\) | −1.19534 | + | 3.03330i | −0.0552544 | + | 0.140214i | ||||
\(469\) | 0.459412 | − | 1.26222i | 0.0212137 | − | 0.0582841i | ||||
\(470\) | −5.02655 | + | 28.5070i | −0.231857 | + | 1.31493i | ||||
\(471\) | −34.4080 | + | 19.2663i | −1.58544 | + | 0.887743i | ||||
\(472\) | −19.1769 | + | 6.97983i | −0.882690 | + | 0.321273i | ||||
\(473\) | −14.7814 | + | 17.6158i | −0.679648 | + | 0.809973i | ||||
\(474\) | 6.98345 | − | 2.43818i | 0.320760 | − | 0.111989i | ||||
\(475\) | −35.2764 | − | 24.2408i | −1.61859 | − | 1.11225i | ||||
\(476\) | − | 1.23788i | − | 0.0567380i | ||||||
\(477\) | −23.1559 | − | 0.609589i | −1.06023 | − | 0.0279112i | ||||
\(478\) | 2.59193 | + | 7.12128i | 0.118552 | + | 0.325720i | ||||
\(479\) | 37.3421 | − | 6.58442i | 1.70620 | − | 0.300850i | 0.766350 | − | 0.642424i | \(-0.222071\pi\) |
0.939855 | + | 0.341574i | \(0.110960\pi\) | |||||||
\(480\) | 5.54503 | + | 34.0627i | 0.253095 | + | 1.55474i | ||||
\(481\) | −1.06995 | − | 0.389432i | −0.0487857 | − | 0.0177565i | ||||
\(482\) | 14.5708 | − | 8.41247i | 0.663683 | − | 0.383177i | ||||
\(483\) | −0.147419 | + | 0.776184i | −0.00670781 | + | 0.0353176i | ||||
\(484\) | 3.90595 | − | 3.27748i | 0.177543 | − | 0.148976i | ||||
\(485\) | 31.7256 | − | 26.6209i | 1.44059 | − | 1.20879i | ||||
\(486\) | 6.11646 | − | 13.8876i | 0.277448 | − | 0.629954i | ||||
\(487\) | −20.3426 | + | 11.7448i | −0.921810 | + | 0.532207i | −0.884212 | − | 0.467086i | \(-0.845304\pi\) |
−0.0375979 | + | 0.999293i | \(0.511971\pi\) | |||||||
\(488\) | 11.9016 | + | 4.33184i | 0.538761 | + | 0.196093i | ||||
\(489\) | −6.01850 | + | 0.979744i | −0.272166 | + | 0.0443055i | ||||
\(490\) | −22.5734 | + | 3.98029i | −1.01976 | + | 0.179811i | ||||
\(491\) | −0.192209 | − | 0.528090i | −0.00867427 | − | 0.0238324i | 0.935280 | − | 0.353909i | \(-0.115148\pi\) |
−0.943954 | + | 0.330076i | \(0.892925\pi\) | |||||||
\(492\) | 1.40748 | − | 3.71421i | 0.0634543 | − | 0.167450i | ||||
\(493\) | 5.43312i | 0.244695i | ||||||||
\(494\) | 4.22254 | − | 1.17136i | 0.189981 | − | 0.0527022i | ||||
\(495\) | 35.9815 | − | 28.6128i | 1.61725 | − | 1.28605i | ||||
\(496\) | 2.49562 | − | 2.97416i | 0.112057 | − | 0.133544i | ||||
\(497\) | −2.22876 | + | 0.811202i | −0.0999735 | + | 0.0363874i | ||||
\(498\) | −3.48822 | − | 6.22969i | −0.156311 | − | 0.279159i | ||||
\(499\) | 0.766881 | − | 4.34920i | 0.0343303 | − | 0.194697i | −0.962819 | − | 0.270146i | \(-0.912928\pi\) |
0.997150 | + | 0.0754493i | \(0.0240391\pi\) | |||||||
\(500\) | −6.67790 | + | 18.3474i | −0.298645 | + | 0.820520i | ||||
\(501\) | −8.19855 | + | 9.51355i | −0.366284 | + | 0.425034i | ||||
\(502\) | −7.38392 | − | 4.26311i | −0.329560 | − | 0.190272i | ||||
\(503\) | −15.8601 | − | 18.9014i | −0.707168 | − | 0.842770i | 0.286150 | − | 0.958185i | \(-0.407625\pi\) |
−0.993317 | + | 0.115415i | \(0.963180\pi\) | |||||||
\(504\) | 1.67157 | − | 8.21018i | 0.0744578 | − | 0.365710i | ||||
\(505\) | 33.6945 | − | 58.3606i | 1.49939 | − | 2.59701i | ||||
\(506\) | −0.940254 | − | 1.62857i | −0.0417994 | − | 0.0723987i | ||||
\(507\) | −0.271996 | + | 20.6677i | −0.0120798 | + | 0.917884i | ||||
\(508\) | 9.86746 | + | 1.73990i | 0.437798 | + | 0.0771956i | ||||
\(509\) | −4.61747 | − | 26.1870i | −0.204666 | − | 1.16072i | −0.897965 | − | 0.440067i | \(-0.854955\pi\) |
0.693299 | − | 0.720650i | \(-0.256156\pi\) | |||||||
\(510\) | 5.13905 | + | 6.29078i | 0.227561 | + | 0.278560i | ||||
\(511\) | −6.34600 | − | 5.32493i | −0.280731 | − | 0.235561i | ||||
\(512\) | −8.75937 | −0.387113 | ||||||||
\(513\) | 22.0472 | − | 5.18835i | 0.973410 | − | 0.229071i | ||||
\(514\) | −23.4626 | −1.03489 | ||||||||
\(515\) | 4.49809 | + | 3.77435i | 0.198210 | + | 0.166318i | ||||
\(516\) | 6.66176 | + | 8.15475i | 0.293268 | + | 0.358993i | ||||
\(517\) | −5.33924 | − | 30.2803i | −0.234819 | − | 1.33173i | ||||
\(518\) | 0.993508 | + | 0.175182i | 0.0436522 | + | 0.00769706i | ||||
\(519\) | −0.356952 | + | 27.1231i | −0.0156685 | + | 1.19057i | ||||
\(520\) | −5.90635 | − | 10.2301i | −0.259011 | − | 0.448620i | ||||
\(521\) | −22.0694 | + | 38.2253i | −0.966878 | + | 1.67468i | −0.262396 | + | 0.964960i | \(0.584513\pi\) |
−0.704482 | + | 0.709722i | \(0.748821\pi\) | |||||||
\(522\) | −2.52945 | + | 12.4238i | −0.110711 | + | 0.543773i | ||||
\(523\) | −25.4961 | − | 30.3850i | −1.11486 | − | 1.32864i | −0.938877 | − | 0.344252i | \(-0.888133\pi\) |
−0.175987 | − | 0.984392i | \(-0.556312\pi\) | |||||||
\(524\) | −15.3078 | − | 8.83797i | −0.668725 | − | 0.386089i | ||||
\(525\) | 10.4360 | − | 12.1099i | 0.455464 | − | 0.528518i | ||||
\(526\) | 4.63668 | − | 12.7392i | 0.202169 | − | 0.555454i | ||||
\(527\) | −1.07097 | + | 6.07376i | −0.0466521 | + | 0.264577i | ||||
\(528\) | 2.65369 | + | 4.73928i | 0.115487 | + | 0.206251i | ||||
\(529\) | −21.3916 | + | 7.78591i | −0.930071 | + | 0.338518i | ||||
\(530\) | 18.5993 | − | 22.1658i | 0.807902 | − | 0.962820i | ||||
\(531\) | 16.1269 | − | 12.8242i | 0.699846 | − | 0.556523i | ||||
\(532\) | 3.89142 | − | 1.85648i | 0.168714 | − | 0.0804885i | ||||
\(533\) | 2.25036i | 0.0974741i | ||||||||
\(534\) | −4.80848 | + | 12.6891i | −0.208083 | + | 0.549111i | ||||
\(535\) | 14.3173 | + | 39.3366i | 0.618992 | + | 1.70067i | ||||
\(536\) | 4.18182 | − | 0.737368i | 0.180627 | − | 0.0318495i | ||||
\(537\) | −22.1396 | + | 3.60408i | −0.955394 | + | 0.155527i | ||||
\(538\) | 18.9103 | + | 6.88280i | 0.815282 | + | 0.296738i | ||||
\(539\) | 21.0855 | − | 12.1737i | 0.908218 | − | 0.524360i | ||||
\(540\) | −9.79756 | − | 18.6316i | −0.421620 | − | 0.801774i | ||||
\(541\) | −27.6522 | + | 23.2029i | −1.18886 | + | 0.997573i | −0.188982 | + | 0.981980i | \(0.560519\pi\) |
−0.999878 | + | 0.0155921i | \(0.995037\pi\) | |||||||
\(542\) | 3.12437 | − | 2.62165i | 0.134203 | − | 0.112610i | ||||
\(543\) | −1.27902 | + | 6.73425i | −0.0548882 | + | 0.288995i | ||||
\(544\) | 5.60958 | − | 3.23869i | 0.240509 | − | 0.138858i | ||||
\(545\) | 49.7527 | + | 18.1085i | 2.13117 | + | 0.775682i | ||||
\(546\) | 0.262963 | + | 1.61537i | 0.0112538 | + | 0.0691313i | ||||
\(547\) | 19.9934 | − | 3.52537i | 0.854855 | − | 0.150734i | 0.270988 | − | 0.962583i | \(-0.412650\pi\) |
0.583868 | + | 0.811849i | \(0.301539\pi\) | |||||||
\(548\) | −7.70129 | − | 21.1591i | −0.328983 | − | 0.903872i | ||||
\(549\) | −12.7830 | − | 0.336519i | −0.545567 | − | 0.0143623i | ||||
\(550\) | 38.0506i | 1.62248i | ||||||||
\(551\) | −17.0797 | + | 8.14819i | −0.727618 | + | 0.347125i | ||||
\(552\) | −2.35802 | + | 0.823272i | −0.100364 | + | 0.0350408i | ||||
\(553\) | −2.65049 | + | 3.15873i | −0.112710 | + | 0.134323i | ||||
\(554\) | −4.74369 | + | 1.72656i | −0.201540 | + | 0.0733547i | ||||
\(555\) | 6.41450 | − | 3.59171i | 0.272281 | − | 0.152459i | ||||
\(556\) | 1.29149 | − | 7.32441i | 0.0547714 | − | 0.310624i | ||||
\(557\) | −9.69201 | + | 26.6286i | −0.410664 | + | 1.12829i | 0.546175 | + | 0.837671i | \(0.316083\pi\) |
−0.956839 | + | 0.290619i | \(0.906139\pi\) | |||||||
\(558\) | −5.27666 | + | 13.3901i | −0.223379 | + | 0.566849i | ||||
\(559\) | −5.16659 | − | 2.98293i | −0.218524 | − | 0.126165i | ||||
\(560\) | 1.83232 | + | 2.18368i | 0.0774298 | + | 0.0922772i | ||||
\(561\) | −7.41495 | − | 4.41213i | −0.313060 | − | 0.186280i | ||||
\(562\) | 9.14302 | − | 15.8362i | 0.385675 | − | 0.668009i | ||||
\(563\) | −7.48478 | − | 12.9640i | −0.315446 | − | 0.546368i | 0.664086 | − | 0.747656i | \(-0.268821\pi\) |
−0.979532 | + | 0.201288i | \(0.935487\pi\) | |||||||
\(564\) | −14.0783 | − | 0.185276i | −0.592801 | − | 0.00780154i | ||||
\(565\) | 36.7698 | + | 6.48350i | 1.54692 | + | 0.272763i | ||||
\(566\) | −1.86070 | − | 10.5525i | −0.0782109 | − | 0.443556i | ||||
\(567\) | 1.02859 | + | 8.39657i | 0.0431968 | + | 0.352623i | ||||
\(568\) | −5.74374 | − | 4.81957i | −0.241002 | − | 0.202225i | ||||
\(569\) | −32.6749 | −1.36980 | −0.684901 | − | 0.728636i | \(-0.740155\pi\) | ||||
−0.684901 | + | 0.728636i | \(0.740155\pi\) | |||||||
\(570\) | −12.0687 | + | 25.5897i | −0.505500 | + | 1.07183i | ||||
\(571\) | 29.9468 | 1.25324 | 0.626618 | − | 0.779327i | \(-0.284439\pi\) | ||||
0.626618 | + | 0.779327i | \(0.284439\pi\) | |||||||
\(572\) | 3.31392 | + | 2.78071i | 0.138562 | + | 0.116267i | ||||
\(573\) | −21.3128 | + | 17.4108i | −0.890355 | + | 0.727347i | ||||
\(574\) | −0.346229 | − | 1.96356i | −0.0144513 | − | 0.0819575i | ||||
\(575\) | −4.69297 | − | 0.827498i | −0.195711 | − | 0.0345091i | ||||
\(576\) | 18.8179 | − | 6.29346i | 0.784079 | − | 0.262228i | ||||
\(577\) | −13.5840 | − | 23.5283i | −0.565511 | − | 0.979494i | −0.997002 | − | 0.0773769i | \(-0.975346\pi\) |
0.431491 | − | 0.902117i | \(-0.357988\pi\) | |||||||
\(578\) | −7.51217 | + | 13.0115i | −0.312465 | + | 0.541205i | ||||
\(579\) | 13.9658 | − | 23.4707i | 0.580399 | − | 0.975408i | ||||
\(580\) | 11.3052 | + | 13.4731i | 0.469425 | + | 0.559438i | ||||
\(581\) | 3.44690 | + | 1.99007i | 0.143001 | + | 0.0825618i | ||||
\(582\) | −13.7409 | − | 11.8416i | −0.569577 | − | 0.490849i | ||||
\(583\) | −10.5121 | + | 28.8818i | −0.435367 | + | 1.19616i | ||||
\(584\) | 4.54758 | − | 25.7906i | 0.188180 | − | 1.06722i | ||||
\(585\) | 8.93133 | + | 7.90399i | 0.369265 | + | 0.326790i | ||||
\(586\) | 20.9497 | − | 7.62507i | 0.865424 | − | 0.314989i | ||||
\(587\) | 11.5736 | − | 13.7929i | 0.477695 | − | 0.569295i | −0.472349 | − | 0.881412i | \(-0.656594\pi\) |
0.950044 | + | 0.312117i | \(0.101038\pi\) | |||||||
\(588\) | −3.67495 | − | 10.5258i | −0.151552 | − | 0.434076i | ||||
\(589\) | −20.6998 | + | 5.74227i | −0.852919 | + | 0.236606i | ||||
\(590\) | 25.7380i | 1.05962i | ||||||||
\(591\) | 6.74107 | + | 2.55450i | 0.277290 | + | 0.105078i | ||||
\(592\) | 0.297084 | + | 0.816233i | 0.0122101 | + | 0.0335470i | ||||
\(593\) | −22.7215 | + | 4.00642i | −0.933062 | + | 0.164524i | −0.619458 | − | 0.785030i | \(-0.712648\pi\) |
−0.313604 | + | 0.949554i | \(0.601536\pi\) | |||||||
\(594\) | −14.9015 | − | 13.5412i | −0.611414 | − | 0.555603i | ||||
\(595\) | −4.25516 | − | 1.54875i | −0.174445 | − | 0.0634926i | ||||
\(596\) | −5.39434 | + | 3.11443i | −0.220961 | + | 0.127572i | ||||
\(597\) | 37.8707 | + | 7.19271i | 1.54994 | + | 0.294378i | ||||
\(598\) | 0.373728 | − | 0.313595i | 0.0152829 | − | 0.0128239i | ||||
\(599\) | −16.7485 | + | 14.0536i | −0.684323 | + | 0.574216i | −0.917266 | − | 0.398275i | \(-0.869609\pi\) |
0.232943 | + | 0.972490i | \(0.425165\pi\) | |||||||
\(600\) | 49.6494 | + | 9.42982i | 2.02693 | + | 0.384971i | ||||
\(601\) | 34.1830 | − | 19.7356i | 1.39435 | − | 0.805031i | 0.400561 | − | 0.916270i | \(-0.368815\pi\) |
0.993794 | + | 0.111239i | \(0.0354818\pi\) | |||||||
\(602\) | 4.96707 | + | 1.80786i | 0.202443 | + | 0.0736830i | ||||
\(603\) | −3.76799 | + | 2.04517i | −0.153444 | + | 0.0832858i | ||||
\(604\) | −16.8095 | + | 2.96397i | −0.683969 | + | 0.120602i | ||||
\(605\) | −6.37936 | − | 17.5271i | −0.259358 | − | 0.712580i | ||||
\(606\) | −27.6005 | − | 10.4591i | −1.12119 | − | 0.424872i | ||||
\(607\) | 19.6240i | 0.796513i | 0.917274 | + | 0.398257i | \(0.130385\pi\) | ||||
−0.917274 | + | 0.398257i | \(0.869615\pi\) | |||||||
\(608\) | 18.5941 | + | 12.7772i | 0.754088 | + | 0.518185i | ||||
\(609\) | −2.32972 | − | 6.67280i | −0.0944052 | − | 0.270395i | ||||
\(610\) | 10.2676 | − | 12.2365i | 0.415723 | − | 0.495440i | ||||
\(611\) | 7.49586 | − | 2.72827i | 0.303250 | − | 0.110374i | ||||
\(612\) | −2.61841 | + | 2.95875i | −0.105843 | + | 0.119600i | ||||
\(613\) | −1.42980 | + | 8.10881i | −0.0577492 | + | 0.327512i | −0.999972 | − | 0.00747482i | \(-0.997621\pi\) |
0.942223 | + | 0.334987i | \(0.108732\pi\) | |||||||
\(614\) | −7.15786 | + | 19.6661i | −0.288868 | + | 0.793658i | ||||
\(615\) | −11.0065 | − | 9.48516i | −0.443826 | − | 0.382479i | ||||
\(616\) | −9.62786 | − | 5.55865i | −0.387918 | − | 0.223964i | ||||
\(617\) | 19.4518 | + | 23.1818i | 0.783102 | + | 0.933264i | 0.999069 | − | 0.0431361i | \(-0.0137349\pi\) |
−0.215967 | + | 0.976401i | \(0.569290\pi\) | |||||||
\(618\) | 1.31510 | − | 2.21014i | 0.0529012 | − | 0.0889048i | ||||
\(619\) | −1.78524 | + | 3.09212i | −0.0717547 | + | 0.124283i | −0.899670 | − | 0.436570i | \(-0.856193\pi\) |
0.827916 | + | 0.560853i | \(0.189527\pi\) | |||||||
\(620\) | 9.98251 | + | 17.2902i | 0.400907 | + | 0.694392i | ||||
\(621\) | 1.99418 | − | 1.54339i | 0.0800236 | − | 0.0619341i | ||||
\(622\) | 6.85358 | + | 1.20847i | 0.274804 | + | 0.0484553i | ||||
\(623\) | −1.31356 | − | 7.44956i | −0.0526266 | − | 0.298460i | ||||
\(624\) | −1.09130 | + | 0.891504i | −0.0436870 | + | 0.0356887i | ||||
\(625\) | 17.1025 | + | 14.3507i | 0.684100 | + | 0.574028i | ||||
\(626\) | 4.36982 | 0.174653 | ||||||||
\(627\) | 2.74968 | − | 29.9268i | 0.109811 | − | 1.19516i | ||||
\(628\) | 23.9598 | 0.956102 | ||||||||
\(629\) | −1.05701 | − | 0.886934i | −0.0421456 | − | 0.0353644i | ||||
\(630\) | −9.00912 | − | 5.52253i | −0.358932 | − | 0.220023i | ||||
\(631\) | 7.66474 | + | 43.4689i | 0.305128 | + | 1.73047i | 0.622900 | + | 0.782302i | \(0.285954\pi\) |
−0.317771 | + | 0.948167i | \(0.602934\pi\) | |||||||
\(632\) | −12.8373 | − | 2.26356i | −0.510640 | − | 0.0900396i | ||||
\(633\) | 31.8250 | + | 0.418831i | 1.26493 | + | 0.0166470i | ||||
\(634\) | −5.38990 | − | 9.33558i | −0.214060 | − | 0.370763i | ||||
\(635\) | 18.3264 | − | 31.7422i | 0.727260 | − | 1.25965i | ||||
\(636\) | 12.0947 | + | 7.19675i | 0.479587 | + | 0.285370i | ||||
\(637\) | 4.06021 | + | 4.83876i | 0.160871 | + | 0.191719i | ||||
\(638\) | 14.5690 | + | 8.41143i | 0.576793 | + | 0.333012i | ||||
\(639\) | 7.04302 | + | 2.77545i | 0.278618 | + | 0.109795i | ||||
\(640\) | 5.15207 | − | 14.1552i | 0.203654 | − | 0.559534i | ||||
\(641\) | 6.23658 | − | 35.3694i | 0.246330 | − | 1.39701i | −0.571054 | − | 0.820913i | \(-0.693465\pi\) |
0.817384 | − | 0.576094i | \(-0.195424\pi\) | |||||||
\(642\) | 15.9976 | − | 8.95764i | 0.631376 | − | 0.353530i | ||||
\(643\) | −14.3616 | + | 5.22718i | −0.566365 | + | 0.206140i | −0.609303 | − | 0.792938i | \(-0.708551\pi\) |
0.0429378 | + | 0.999078i | \(0.486328\pi\) | |||||||
\(644\) | 0.308554 | − | 0.367721i | 0.0121587 | − | 0.0144902i | ||||
\(645\) | 36.3664 | − | 12.6969i | 1.43193 | − | 0.499939i | ||||
\(646\) | 5.29394 | + | 0.416233i | 0.208287 | + | 0.0163765i | ||||
\(647\) | 16.9968i | 0.668212i | 0.942536 | + | 0.334106i | \(0.108434\pi\) | ||||
−0.942536 | + | 0.334106i | \(0.891566\pi\) | |||||||
\(648\) | −21.3619 | + | 16.0880i | −0.839174 | + | 0.631996i | ||||
\(649\) | −9.35052 | − | 25.6903i | −0.367040 | − | 1.00843i | ||||
\(650\) | −9.72163 | + | 1.71419i | −0.381314 | + | 0.0672359i | ||||
\(651\) | −1.28910 | − | 7.91885i | −0.0505238 | − | 0.310364i | ||||
\(652\) | 3.48143 | + | 1.26714i | 0.136343 | + | 0.0496249i | ||||
\(653\) | 4.58433 | − | 2.64676i | 0.179399 | − | 0.103576i | −0.407611 | − | 0.913155i | \(-0.633638\pi\) |
0.587010 | + | 0.809580i | \(0.300305\pi\) | |||||||
\(654\) | 4.32703 | − | 22.7824i | 0.169200 | − | 0.890864i | ||||
\(655\) | −49.5324 | + | 41.5626i | −1.93539 | + | 1.62399i | ||||
\(656\) | 1.31509 | − | 1.10349i | 0.0513457 | − | 0.0430841i | ||||
\(657\) | 3.90455 | + | 26.1509i | 0.152331 | + | 1.02024i | ||||
\(658\) | −6.12078 | + | 3.53383i | −0.238613 | + | 0.137763i | ||||
\(659\) | −24.0269 | − | 8.74509i | −0.935956 | − | 0.340660i | −0.171388 | − | 0.985204i | \(-0.554825\pi\) |
−0.764568 | + | 0.644543i | \(0.777048\pi\) | |||||||
\(660\) | −27.5684 | + | 4.48783i | −1.07310 | + | 0.174688i | ||||
\(661\) | −23.7023 | + | 4.17936i | −0.921913 | + | 0.162558i | −0.614408 | − | 0.788988i | \(-0.710605\pi\) |
−0.307505 | + | 0.951546i | \(0.599494\pi\) | |||||||
\(662\) | −6.71435 | − | 18.4475i | −0.260961 | − | 0.716984i | ||||
\(663\) | 0.793221 | − | 2.09323i | 0.0308062 | − | 0.0812944i | ||||
\(664\) | 12.5823i | 0.488289i | ||||||||
\(665\) | −1.51289 | − | 15.6993i | −0.0586673 | − | 0.608793i | ||||
\(666\) | −2.00411 | − | 2.52023i | −0.0776575 | − | 0.0976569i | ||||
\(667\) | −1.35426 | + | 1.61395i | −0.0524373 | + | 0.0624923i | ||||
\(668\) | 7.17032 | − | 2.60978i | 0.277428 | − | 0.100976i | ||||
\(669\) | −21.5441 | − | 38.4760i | −0.832941 | − | 1.48757i | ||||
\(670\) | 0.929964 | − | 5.27409i | 0.0359276 | − | 0.203756i | ||||
\(671\) | −5.80314 | + | 15.9440i | −0.224028 | + | 0.615511i | ||||
\(672\) | −5.50077 | + | 6.38306i | −0.212197 | + | 0.246232i | ||||
\(673\) | 26.8141 | + | 15.4811i | 1.03361 | + | 0.596754i | 0.918016 | − | 0.396543i | \(-0.129790\pi\) |
0.115591 | + | 0.993297i | \(0.463124\pi\) | |||||||
\(674\) | 4.65930 | + | 5.55274i | 0.179470 | + | 0.213883i | ||||
\(675\) | −50.5592 | + | 6.87004i | −1.94603 | + | 0.264428i | ||||
\(676\) | 6.27919 | − | 10.8759i | 0.241507 | − | 0.418303i | ||||
\(677\) | 4.46701 | + | 7.73710i | 0.171681 | + | 0.297361i | 0.939008 | − | 0.343896i | \(-0.111747\pi\) |
−0.767326 | + | 0.641257i | \(0.778413\pi\) | |||||||
\(678\) | 0.215198 | − | 16.3518i | 0.00826462 | − | 0.627989i | ||||
\(679\) | 9.95826 | + | 1.75591i | 0.382163 | + | 0.0673857i | ||||
\(680\) | −2.48579 | − | 14.0976i | −0.0953256 | − | 0.540618i | ||||
\(681\) | 8.80144 | + | 10.7740i | 0.337272 | + | 0.412859i | ||||
\(682\) | 14.6289 | + | 12.2751i | 0.560169 | + | 0.470038i | ||||
\(683\) | −44.5537 | −1.70480 | −0.852400 | − | 0.522890i | \(-0.824854\pi\) | ||||
−0.852400 | + | 0.522890i | \(0.824854\pi\) | |||||||
\(684\) | −13.2281 | − | 3.79399i | −0.505788 | − | 0.145067i | ||||
\(685\) | −82.3691 | −3.14716 | ||||||||
\(686\) | −9.19366 | − | 7.71440i | −0.351015 | − | 0.294537i | ||||
\(687\) | −5.85644 | − | 7.16895i | −0.223437 | − | 0.273512i | ||||
\(688\) | 0.790301 | + | 4.48202i | 0.0301300 | + | 0.170875i | ||||
\(689\) | −7.85265 | − | 1.38463i | −0.299162 | − | 0.0527504i | ||||
\(690\) | −0.0414513 | + | 3.14969i | −0.00157802 | + | 0.119907i | ||||
\(691\) | −1.53979 | − | 2.66699i | −0.0585763 | − | 0.101457i | 0.835250 | − | 0.549870i | \(-0.185323\pi\) |
−0.893827 | + | 0.448413i | \(0.851989\pi\) | |||||||
\(692\) | 8.24045 | − | 14.2729i | 0.313255 | − | 0.542573i | ||||
\(693\) | 10.9988 | + | 2.23932i | 0.417808 | + | 0.0850647i | ||||
\(694\) | −12.9785 | − | 15.4672i | −0.492656 | − | 0.587125i | ||||
\(695\) | −23.5616 | − | 13.6033i | −0.893742 | − | 0.516002i | ||||
\(696\) | 14.5860 | − | 16.9255i | 0.552881 | − | 0.641560i | ||||
\(697\) | −0.932715 | + | 2.56261i | −0.0353291 | + | 0.0970659i | ||||
\(698\) | 1.34755 | − | 7.64234i | 0.0510055 | − | 0.289267i | ||||
\(699\) | 3.79214 | + | 6.77246i | 0.143432 | + | 0.256158i | ||||
\(700\) | −9.12716 | + | 3.32201i | −0.344974 | + | 0.125560i | ||||
\(701\) | 10.2378 | − | 12.2010i | 0.386677 | − | 0.460824i | −0.537233 | − | 0.843434i | \(-0.680530\pi\) |
0.923910 | + | 0.382610i | \(0.124975\pi\) | |||||||
\(702\) | 2.78836 | − | 4.41724i | 0.105240 | − | 0.166718i | ||||
\(703\) | 1.20296 | − | 4.65299i | 0.0453706 | − | 0.175491i | ||||
\(704\) | − | 26.3282i | − | 0.992282i | ||||||
\(705\) | −18.2507 | + | 48.1617i | −0.687360 | + | 1.81387i | ||||
\(706\) | 7.71577 | + | 21.1989i | 0.290387 | + | 0.797831i | ||||
\(707\) | 16.2038 | − | 2.85717i | 0.609407 | − | 0.107455i | ||||
\(708\) | −12.3561 | + | 2.01144i | −0.464371 | + | 0.0755944i | ||||
\(709\) | −22.5919 | − | 8.22277i | −0.848456 | − | 0.308813i | −0.119045 | − | 0.992889i | \(-0.537983\pi\) |
−0.729411 | + | 0.684076i | \(0.760206\pi\) | |||||||
\(710\) | −8.18942 | + | 4.72816i | −0.307343 | + | 0.177445i | ||||
\(711\) | 13.0166 | − | 1.94349i | 0.488161 | − | 0.0728866i | ||||
\(712\) | 18.3188 | − | 15.3713i | 0.686526 | − | 0.576063i | ||||
\(713\) | −1.83209 | + | 1.53731i | −0.0686123 | + | 0.0575726i | ||||
\(714\) | −0.370074 | + | 1.94850i | −0.0138497 | + | 0.0729206i | ||||
\(715\) | 13.7047 | − | 7.91244i | 0.512529 | − | 0.295908i | ||||
\(716\) | 12.8068 | + | 4.66128i | 0.478611 | + | 0.174200i | ||||
\(717\) | 2.16649 | + | 13.3086i | 0.0809090 | + | 0.497018i | ||||
\(718\) | −7.41780 | + | 1.30796i | −0.276830 | + | 0.0488126i | ||||
\(719\) | 16.7833 | + | 46.1117i | 0.625911 | + | 1.71968i | 0.692034 | + | 0.721865i | \(0.256715\pi\) |
−0.0661225 | + | 0.997812i | \(0.521063\pi\) | |||||||
\(720\) | 0.239435 | − | 9.09519i | 0.00892322 | − | 0.338958i | ||||
\(721\) | 1.43367i | 0.0533928i | ||||||||
\(722\) | 6.63098 | + | 17.2664i | 0.246780 | + | 0.642588i | ||||
\(723\) | 28.2629 | − | 9.86762i | 1.05111 | − | 0.366981i | ||||
\(724\) | 2.67705 | − | 3.19038i | 0.0994917 | − | 0.118570i | ||||
\(725\) | 40.0597 | − | 14.5805i | 1.48778 | − | 0.541507i | ||||
\(726\) | −7.12804 | + | 3.99124i | −0.264546 | + | 0.148129i | ||||
\(727\) | 4.87540 | − | 27.6498i | 0.180819 | − | 1.02547i | −0.750393 | − | 0.660993i | \(-0.770135\pi\) |
0.931211 | − | 0.364480i | \(-0.118753\pi\) | |||||||
\(728\) | 0.986455 | − | 2.71026i | 0.0365605 | − | 0.100449i | ||||
\(729\) | 15.3023 | − | 22.2450i | 0.566751 | − | 0.823889i | ||||
\(730\) | −28.6037 | − | 16.5144i | −1.05867 | − | 0.611224i | ||||
\(731\) | −4.64714 | − | 5.53824i | −0.171881 | − | 0.204839i | ||||
\(732\) | 6.67681 | + | 3.97292i | 0.246782 | + | 0.146843i | ||||
\(733\) | −0.671595 | + | 1.16324i | −0.0248059 | + | 0.0429651i | −0.878162 | − | 0.478364i | \(-0.841230\pi\) |
0.853356 | + | 0.521329i | \(0.174563\pi\) | |||||||
\(734\) | −4.18178 | − | 7.24306i | −0.154352 | − | 0.267346i | ||||
\(735\) | −40.7799 | − | 0.536682i | −1.50419 | − | 0.0197958i | ||||
\(736\) | 2.47365 | + | 0.436170i | 0.0911798 | + | 0.0160775i | ||||
\(737\) | 0.987815 | + | 5.60217i | 0.0363866 | + | 0.206359i | ||||
\(738\) | −3.32587 | + | 5.42562i | −0.122427 | + | 0.199720i | ||||
\(739\) | −0.414289 | − | 0.347630i | −0.0152399 | − | 0.0127878i | 0.635136 | − | 0.772400i | \(-0.280944\pi\) |
−0.650376 | + | 0.759613i | \(0.725389\pi\) | |||||||
\(740\) | −4.46670 | −0.164199 | ||||||||
\(741\) | 7.76994 | − | 0.645687i | 0.285436 | − | 0.0237199i | ||||
\(742\) | 7.06489 | 0.259360 | ||||||||
\(743\) | 26.3387 | + | 22.1008i | 0.966272 | + | 0.810799i | 0.981962 | − | 0.189078i | \(-0.0605499\pi\) |
−0.0156896 | + | 0.999877i | \(0.504994\pi\) | |||||||
\(744\) | 19.6423 | − | 16.0461i | 0.720120 | − | 0.588279i | ||||
\(745\) | 3.95668 | + | 22.4394i | 0.144961 | + | 0.822117i | ||||
\(746\) | 14.0692 | + | 2.48077i | 0.515108 | + | 0.0908275i | ||||
\(747\) | −4.02921 | − | 12.0476i | −0.147421 | − | 0.440800i | ||||
\(748\) | 2.62121 | + | 4.54007i | 0.0958410 | + | 0.166001i | ||||
\(749\) | −5.11042 | + | 8.85151i | −0.186731 | + | 0.323427i | ||||
\(750\) | 15.9965 | − | 26.8835i | 0.584111 | − | 0.981647i | ||||
\(751\) | 26.1379 | + | 31.1499i | 0.953784 | + | 1.13668i | 0.990523 | + | 0.137351i | \(0.0438587\pi\) |
−0.0367385 | + | 0.999325i | \(0.511697\pi\) | |||||||
\(752\) | −5.27005 | − | 3.04267i | −0.192179 | − | 0.110955i | ||||
\(753\) | −11.4918 | − | 9.90339i | −0.418786 | − | 0.360900i | ||||
\(754\) | −1.49272 | + | 4.10121i | −0.0543616 | + | 0.149357i | ||||
\(755\) | −10.8424 | + | 61.4905i | −0.394596 | + | 2.23787i | ||||
\(756\) | 1.94715 | − | 4.75662i | 0.0708171 | − | 0.172997i | ||||
\(757\) | 16.1453 | − | 5.87639i | 0.586809 | − | 0.213581i | −0.0315162 | − | 0.999503i | \(-0.510034\pi\) |
0.618325 | + | 0.785922i | \(0.287811\pi\) | |||||||
\(758\) | −15.2679 | + | 18.1956i | −0.554556 | + | 0.660894i | ||||
\(759\) | −1.10290 | − | 3.15891i | −0.0400326 | − | 0.114661i | ||||
\(760\) | 40.5895 | − | 28.9569i | 1.47234 | − | 1.05038i | ||||
\(761\) | 31.1788i | 1.13023i | 0.825012 | + | 0.565116i | \(0.191168\pi\) | ||||
−0.825012 | + | 0.565116i | \(0.808832\pi\) | |||||||
\(762\) | −15.0118 | − | 5.68868i | −0.543822 | − | 0.206079i | ||||
\(763\) | 4.42139 | + | 12.1477i | 0.160065 | + | 0.439775i | ||||
\(764\) | 16.4668 | − | 2.90355i | 0.595749 | − | 0.105047i | ||||
\(765\) | 6.89460 | + | 12.7025i | 0.249275 | + | 0.459260i | ||||
\(766\) | 0.764288 | + | 0.278178i | 0.0276149 | + | 0.0100510i | ||||
\(767\) | 6.14244 | − | 3.54634i | 0.221791 | − | 0.128051i | ||||
\(768\) | −28.9915 | − | 5.50630i | −1.04614 | − | 0.198692i | ||||
\(769\) | −14.5474 | + | 12.2068i | −0.524594 | + | 0.440187i | −0.866230 | − | 0.499646i | \(-0.833464\pi\) |
0.341636 | + | 0.939832i | \(0.389019\pi\) | |||||||
\(770\) | −10.7408 | + | 9.01256i | −0.387070 | + | 0.324790i | ||||
\(771\) | −41.0129 | − | 7.78951i | −1.47704 | − | 0.280532i | ||||
\(772\) | −14.3708 | + | 8.29696i | −0.517215 | + | 0.298614i | ||||
\(773\) | −40.7594 | − | 14.8352i | −1.46601 | − | 0.533585i | −0.518998 | − | 0.854775i | \(-0.673695\pi\) |
−0.947015 | + | 0.321190i | \(0.895917\pi\) | |||||||
\(774\) | −8.04809 | − | 14.8277i | −0.289283 | − | 0.532970i | ||||
\(775\) | 47.6574 | − | 8.40329i | 1.71190 | − | 0.301855i | ||||
\(776\) | 10.9332 | + | 30.0387i | 0.392479 | + | 1.07833i | ||||
\(777\) | 1.67850 | + | 0.636061i | 0.0602159 | + | 0.0228186i | ||||
\(778\) | 4.11588i | 0.147562i | ||||||||
\(779\) | −9.45470 | + | 0.911116i | −0.338750 | + | 0.0326441i | ||||
\(780\) | −2.38857 | − | 6.84134i | −0.0855244 | − | 0.244959i | ||||
\(781\) | 6.45653 | − | 7.69460i | 0.231033 | − | 0.275334i | ||||
\(782\) | 0.555561 | − | 0.202208i | 0.0198668 | − | 0.00723093i | ||||
\(783\) | −8.54615 | + | 20.8771i | −0.305414 | + | 0.746087i | ||||
\(784\) | 0.836757 | − | 4.74549i | 0.0298842 | − | 0.169482i | ||||
\(785\) | 29.9770 | − | 82.3611i | 1.06992 | − | 2.93959i | ||||
\(786\) | 21.4533 | + | 18.4879i | 0.765213 | + | 0.659443i | ||||
\(787\) | 4.96475 | + | 2.86640i | 0.176974 | + | 0.102176i | 0.585870 | − | 0.810405i | \(-0.300753\pi\) |
−0.408896 | + | 0.912581i | \(0.634086\pi\) | |||||||
\(788\) | −2.81538 | − | 3.35524i | −0.100294 | − | 0.119526i | ||||
\(789\) | 12.3343 | − | 20.7289i | 0.439114 | − | 0.737967i | ||||
\(790\) | −8.22003 | + | 14.2375i | −0.292455 | + | 0.506548i | ||||
\(791\) | 4.55812 | + | 7.89490i | 0.162068 | + | 0.280710i | ||||
\(792\) | 11.2544 | + | 33.6514i | 0.399908 | + | 1.19575i | ||||
\(793\) | −4.33500 | − | 0.764378i | −0.153940 | − | 0.0271439i | ||||
\(794\) | 4.19511 | + | 23.7917i | 0.148879 | + | 0.844334i | ||||
\(795\) | 39.8707 | − | 32.5711i | 1.41407 | − | 1.15518i | ||||
\(796\) | −17.9414 | − | 15.0546i | −0.635916 | − | 0.533597i | ||||
\(797\) | 3.78719 | 0.134149 | 0.0670746 | − | 0.997748i | \(-0.478633\pi\) | ||||
0.0670746 | + | 0.997748i | \(0.478633\pi\) | |||||||
\(798\) | −6.68034 | + | 1.75884i | −0.236482 | + | 0.0622622i | ||||
\(799\) | 9.66674 | 0.341985 | ||||||||
\(800\) | −38.9337 | − | 32.6693i | −1.37651 | − | 1.15503i | ||||
\(801\) | −12.6180 | + | 20.5843i | −0.445835 | + | 0.727309i | ||||
\(802\) | −3.97693 | − | 22.5543i | −0.140430 | − | 0.796419i | ||||
\(803\) | 34.5503 | + | 6.09216i | 1.21926 | + | 0.214988i | ||||
\(804\) | 2.60462 | + | 0.0342780i | 0.0918579 | + | 0.00120889i | ||||
\(805\) | −0.877984 | − | 1.52071i | −0.0309449 | − | 0.0535981i | ||||
\(806\) | −2.47716 | + | 4.29056i | −0.0872542 | + | 0.151129i | ||||
\(807\) | 30.7704 | + | 18.3094i | 1.08317 | + | 0.644520i | ||||
\(808\) | 33.4347 | + | 39.8459i | 1.17623 | + | 1.40177i | ||||
\(809\) | 9.92215 | + | 5.72856i | 0.348844 | + | 0.201405i | 0.664176 | − | 0.747576i | \(-0.268783\pi\) |
−0.315332 | + | 0.948981i | \(0.602116\pi\) | |||||||
\(810\) | 9.85191 | + | 32.2563i | 0.346161 | + | 1.13337i | ||||
\(811\) | 13.9130 | − | 38.2257i | 0.488552 | − | 1.34229i | −0.413439 | − | 0.910532i | \(-0.635672\pi\) |
0.901991 | − | 0.431755i | \(-0.142105\pi\) | |||||||
\(812\) | −0.745691 | + | 4.22902i | −0.0261686 | + | 0.148410i | ||||
\(813\) | 6.33181 | − | 3.54540i | 0.222066 | − | 0.124343i | ||||
\(814\) | −4.01477 | + | 1.46126i | −0.140717 | + | 0.0512170i | ||||
\(815\) | 8.71148 | − | 10.3819i | 0.305150 | − | 0.363663i | ||||
\(816\) | −1.61223 | + | 0.562889i | −0.0564393 | + | 0.0197051i | ||||
\(817\) | 10.4407 | − | 22.9147i | 0.365274 | − | 0.801683i | ||||
\(818\) | − | 4.82327i | − | 0.168642i | ||||||
\(819\) | −0.0766329 | + | 2.91098i | −0.00267777 | + | 0.101718i | ||||
\(820\) | 3.01934 | + | 8.29557i | 0.105440 | + | 0.289694i | ||||
\(821\) | −34.6702 | + | 6.11330i | −1.21000 | + | 0.213356i | −0.742016 | − | 0.670382i | \(-0.766130\pi\) |
−0.467983 | + | 0.883737i | \(0.655019\pi\) | |||||||
\(822\) | 5.79661 | + | 35.6081i | 0.202180 | + | 1.24198i | ||||
\(823\) | −22.3227 | − | 8.12480i | −0.778121 | − | 0.283213i | −0.0777319 | − | 0.996974i | \(-0.524768\pi\) |
−0.700389 | + | 0.713762i | \(0.746990\pi\) | |||||||
\(824\) | −3.92505 | + | 2.26613i | −0.136736 | + | 0.0789443i | ||||
\(825\) | −12.6327 | + | 66.5128i | −0.439812 | + | 2.31568i | ||||
\(826\) | −4.81399 | + | 4.03941i | −0.167500 | + | 0.140549i | ||||
\(827\) | 36.3149 | − | 30.4719i | 1.26279 | − | 1.05961i | 0.267416 | − | 0.963581i | \(-0.413830\pi\) |
0.995379 | − | 0.0960290i | \(-0.0306142\pi\) | |||||||
\(828\) | −1.51532 | + | 0.226250i | −0.0526609 | + | 0.00786272i | ||||
\(829\) | −21.9960 | + | 12.6994i | −0.763951 | + | 0.441067i | −0.830713 | − | 0.556702i | \(-0.812067\pi\) |
0.0667615 | + | 0.997769i | \(0.478733\pi\) | |||||||
\(830\) | 14.9117 | + | 5.42743i | 0.517594 | + | 0.188389i | ||||
\(831\) | −8.86524 | + | 1.44316i | −0.307532 | + | 0.0500627i | ||||
\(832\) | 6.72666 | − | 1.18609i | 0.233205 | − | 0.0411203i | ||||
\(833\) | 2.61804 | + | 7.19301i | 0.0907097 | + | 0.249223i | ||||
\(834\) | −4.22259 | + | 11.1430i | −0.146216 | + | 0.385850i | ||||
\(835\) | − | 27.9129i | − | 0.965967i | ||||||
\(836\) | −10.3412 | + | 15.0490i | −0.357657 | + | 0.520479i | ||||
\(837\) | −13.6691 | + | 21.6542i | −0.472474 | + | 0.748480i | ||||
\(838\) | 9.58924 | − | 11.4280i | 0.331255 | − | 0.394774i | ||||
\(839\) | −1.80620 | + | 0.657403i | −0.0623570 | + | 0.0226961i | −0.373010 | − | 0.927827i | \(-0.621674\pi\) |
0.310653 | + | 0.950523i | \(0.399452\pi\) | |||||||
\(840\) | 9.09803 | + | 16.2484i | 0.313912 | + | 0.560622i | ||||
\(841\) | −1.76291 | + | 9.99798i | −0.0607901 | + | 0.344758i | ||||
\(842\) | 2.46232 | − | 6.76518i | 0.0848573 | − | 0.233143i | ||||
\(843\) | 21.2397 | − | 24.6464i | 0.731533 | − | 0.848866i | ||||
\(844\) | −16.7471 | − | 9.66896i | −0.576460 | − | 0.332819i | ||||
\(845\) | −29.5293 | − | 35.1917i | −1.01584 | − | 1.21063i | ||||
\(846\) | 22.1047 | + | 4.50046i | 0.759974 | + | 0.154729i | ||||
\(847\) | 2.27704 | − | 3.94396i | 0.0782402 | − | 0.135516i | ||||
\(848\) | 3.04147 | + | 5.26798i | 0.104445 | + | 0.180903i | ||||
\(849\) | 0.250887 | − | 19.0637i | 0.00861042 | − | 0.654264i | ||||
\(850\) | −11.7810 | − | 2.07731i | −0.404086 | − | 0.0712512i | ||||
\(851\) | −0.0929138 | − | 0.526940i | −0.00318504 | − | 0.0180633i | ||||
\(852\) | −2.90987 | − | 3.56201i | −0.0996905 | − | 0.122032i | ||||
\(853\) | 26.9920 | + | 22.6489i | 0.924187 | + | 0.775485i | 0.974765 | − | 0.223235i | \(-0.0716617\pi\) |
−0.0505775 | + | 0.998720i | \(0.516106\pi\) | |||||||
\(854\) | 3.90012 | 0.133459 | ||||||||
\(855\) | −29.5918 | + | 40.7243i | −1.01202 | + | 1.39274i | ||||
\(856\) | −32.3110 | −1.10437 | ||||||||
\(857\) | −26.1095 | − | 21.9085i | −0.891884 | − | 0.748379i | 0.0767032 | − | 0.997054i | \(-0.475561\pi\) |
−0.968587 | + | 0.248675i | \(0.920005\pi\) | |||||||
\(858\) | −4.38500 | − | 5.36773i | −0.149701 | − | 0.183251i | ||||
\(859\) | −1.10970 | − | 6.29342i | −0.0378624 | − | 0.214729i | 0.960007 | − | 0.279977i | \(-0.0903270\pi\) |
−0.997869 | + | 0.0652488i | \(0.979216\pi\) | |||||||
\(860\) | −23.0480 | − | 4.06398i | −0.785929 | − | 0.138581i | ||||
\(861\) | 0.0466838 | − | 3.54728i | 0.00159098 | − | 0.120891i | ||||
\(862\) | −10.9159 | − | 18.9068i | −0.371796 | − | 0.643970i | ||||
\(863\) | 5.52979 | − | 9.57787i | 0.188236 | − | 0.326035i | −0.756426 | − | 0.654079i | \(-0.773056\pi\) |
0.944662 | + | 0.328045i | \(0.106390\pi\) | |||||||
\(864\) | 26.6495 | − | 3.62117i | 0.906636 | − | 0.123195i | ||||
\(865\) | −38.7526 | − | 46.1836i | −1.31763 | − | 1.57029i | ||||
\(866\) | 4.25627 | + | 2.45736i | 0.144634 | + | 0.0835045i | ||||
\(867\) | −17.4511 | + | 20.2502i | −0.592671 | + | 0.687731i | ||||
\(868\) | −1.66724 | + | 4.58070i | −0.0565898 | + | 0.155479i | ||||
\(869\) | 3.03237 | − | 17.1974i | 0.102866 | − | 0.583383i | ||||
\(870\) | −13.7673 | − | 24.5873i | −0.466754 | − | 0.833586i | ||||
\(871\) | −1.38681 | + | 0.504758i | −0.0469903 | + | 0.0171031i | ||||
\(872\) | −26.2687 | + | 31.3058i | −0.889569 | + | 1.06015i | ||||
\(873\) | −20.0878 | − | 25.2611i | −0.679870 | − | 0.854959i | ||||
\(874\) | 1.46885 | + | 1.44322i | 0.0496847 | + | 0.0488175i | ||||
\(875\) | 17.4388i | 0.589540i | ||||||||
\(876\) | 5.69270 | − | 15.0225i | 0.192338 | − | 0.507562i | ||||
\(877\) | −16.3756 | − | 44.9915i | −0.552963 | − | 1.51925i | −0.829645 | − | 0.558292i | \(-0.811457\pi\) |
0.276682 | − | 0.960962i | \(-0.410765\pi\) | |||||||
\(878\) | 10.4040 | − | 1.83451i | 0.351119 | − | 0.0619117i | ||||
\(879\) | 39.1518 | − | 6.37347i | 1.32056 | − | 0.214972i | ||||
\(880\) | −11.3442 | − | 4.12896i | −0.382414 | − | 0.139187i | ||||
\(881\) | −15.8937 | + | 9.17623i | −0.535472 | + | 0.309155i | −0.743242 | − | 0.669023i | \(-0.766713\pi\) |
0.207770 | + | 0.978178i | \(0.433380\pi\) | |||||||
\(882\) | 2.63782 | + | 17.6669i | 0.0888200 | + | 0.594876i | ||||
\(883\) | 15.9103 | − | 13.3504i | 0.535425 | − | 0.449275i | −0.334545 | − | 0.942380i | \(-0.608583\pi\) |
0.869970 | + | 0.493105i | \(0.164138\pi\) | |||||||
\(884\) | −1.04187 | + | 0.874231i | −0.0350418 | + | 0.0294036i | ||||
\(885\) | −8.54492 | + | 44.9903i | −0.287234 | + | 1.51233i | ||||
\(886\) | 1.15006 | − | 0.663985i | 0.0386369 | − | 0.0223070i | ||||
\(887\) | −19.3286 | − | 7.03503i | −0.648991 | − | 0.236213i | −0.00351460 | − | 0.999994i | \(-0.501119\pi\) |
−0.645476 | + | 0.763781i | \(0.723341\pi\) | |||||||
\(888\) | 0.911733 | + | 5.60071i | 0.0305957 | + | 0.187948i | ||||
\(889\) | 8.81321 | − | 1.55401i | 0.295586 | − | 0.0521197i | ||||
\(890\) | −10.3152 | − | 28.3407i | −0.345765 | − | 0.949981i | ||||
\(891\) | −21.5523 | − | 28.6174i | −0.722028 | − | 0.958720i | ||||
\(892\) | 26.7925i | 0.897080i | ||||||||
\(893\) | 14.4975 | + | 30.3886i | 0.485139 | + | 1.01691i | ||||
\(894\) | 9.42212 | − | 3.28961i | 0.315123 | − | 0.110021i | ||||
\(895\) | 32.0460 | − | 38.1909i | 1.07118 | − | 1.27658i | ||||
\(896\) | 3.45615 | − | 1.25794i | 0.115462 | − | 0.0420247i | ||||
\(897\) | 0.757393 | − | 0.424091i | 0.0252886 | − | 0.0141600i | ||||
\(898\) | −4.24648 | + | 24.0830i | −0.141707 | + | 0.803659i | ||||
\(899\) | 7.31761 | − | 20.1050i | 0.244056 | − | 0.670538i | ||||
\(900\) | 28.8424 | + | 11.3660i | 0.961413 | + | 0.378866i | ||||
\(901\) | −8.36835 | − | 4.83147i | −0.278790 | − | 0.160960i | ||||
\(902\) | 5.42769 | + | 6.46847i | 0.180722 | + | 0.215377i | ||||
\(903\) | 8.08228 | + | 4.80921i | 0.268961 | + | 0.160041i | ||||
\(904\) | −14.4095 | + | 24.9580i | −0.479254 | + | 0.830091i | ||||
\(905\) | −7.61748 | − | 13.1939i | −0.253214 | − | 0.438579i | ||||
\(906\) | 27.3453 | + | 0.359877i | 0.908488 | + | 0.0119561i | ||||
\(907\) | −17.2346 | − | 3.03893i | −0.572266 | − | 0.100906i | −0.119976 | − | 0.992777i | \(-0.538282\pi\) |
−0.452290 | + | 0.891871i | \(0.649393\pi\) | |||||||
\(908\) | −1.46779 | − | 8.32425i | −0.0487103 | − | 0.276250i | ||||
\(909\) | −44.7736 | − | 27.4459i | −1.48505 | − | 0.910322i | ||||
\(910\) | −2.78651 | − | 2.33816i | −0.0923720 | − | 0.0775093i | ||||
\(911\) | 50.6401 | 1.67778 | 0.838891 | − | 0.544299i | \(-0.183204\pi\) | ||||
0.838891 | + | 0.544299i | \(0.183204\pi\) | |||||||
\(912\) | −4.18741 | − | 4.22406i | −0.138659 | − | 0.139872i | ||||
\(913\) | −16.8559 | −0.557849 | ||||||||
\(914\) | 13.7319 | + | 11.5224i | 0.454211 | + | 0.381128i | ||||
\(915\) | 22.0104 | − | 17.9807i | 0.727640 | − | 0.594422i | ||||
\(916\) | 0.976661 | + | 5.53892i | 0.0322698 | + | 0.183011i | ||||
\(917\) | −15.5476 | − | 2.74146i | −0.513426 | − | 0.0905309i | ||||
\(918\) | 5.00609 | − | 3.87445i | 0.165226 | − | 0.127876i | ||||
\(919\) | 13.7532 | + | 23.8213i | 0.453677 | + | 0.785792i | 0.998611 | − | 0.0526868i | \(-0.0167785\pi\) |
−0.544934 | + | 0.838479i | \(0.683445\pi\) | |||||||
\(920\) | 2.77556 | − | 4.80741i | 0.0915074 | − | 0.158495i | ||||
\(921\) | −19.0411 | + | 32.0001i | −0.627425 | + | 1.05444i | ||||
\(922\) | 15.4245 | + | 18.3822i | 0.507980 | + | 0.605387i | ||||
\(923\) | 2.25678 | + | 1.30295i | 0.0742828 | + | 0.0428872i | ||||
\(924\) | −5.16608 | − | 4.45201i | −0.169952 | − | 0.146460i | ||||
\(925\) | −3.70295 | + | 10.1738i | −0.121752 | + | 0.334511i | ||||
\(926\) | 0.861001 | − | 4.88298i | 0.0282943 | − | 0.160465i | ||||
\(927\) | 3.03257 | − | 3.42674i | 0.0996028 | − | 0.112549i | ||||
\(928\) | −21.1153 | + | 7.68533i | −0.693143 | + | 0.252283i | ||||
\(929\) | −7.33625 | + | 8.74300i | −0.240695 | + | 0.286849i | −0.872845 | − | 0.487997i | \(-0.837728\pi\) |
0.632151 | + | 0.774845i | \(0.282172\pi\) | |||||||
\(930\) | −10.5440 | − | 30.2003i | −0.345753 | − | 0.990305i | ||||
\(931\) | −18.6857 | + | 19.0177i | −0.612401 | + | 0.623279i | ||||
\(932\) | − | 4.71596i | − | 0.154476i | ||||||
\(933\) | 11.5789 | + | 4.38779i | 0.379077 | + | 0.143650i | ||||
\(934\) | −0.980535 | − | 2.69400i | −0.0320841 | − | 0.0881503i | ||||
\(935\) | 18.8858 | − | 3.33008i | 0.617633 | − | 0.108905i | ||||
\(936\) | −8.09067 | + | 4.39142i | −0.264452 | + | 0.143538i | ||||
\(937\) | −28.9100 | − | 10.5224i | −0.944448 | − | 0.343751i | −0.176527 | − | 0.984296i | \(-0.556486\pi\) |
−0.767921 | + | 0.640545i | \(0.778709\pi\) | |||||||
\(938\) | 1.13241 | − | 0.653796i | 0.0369744 | − | 0.0213472i | ||||
\(939\) | 7.63850 | + | 1.45077i | 0.249273 | + | 0.0473440i | ||||
\(940\) | 23.9716 | − | 20.1146i | 0.781868 | − | 0.656065i | ||||
\(941\) | −2.17650 | + | 1.82630i | −0.0709518 | + | 0.0595356i | −0.677574 | − | 0.735455i | \(-0.736969\pi\) |
0.606622 | + | 0.794990i | \(0.292524\pi\) | |||||||
\(942\) | −37.7143 | − | 7.16301i | −1.22880 | − | 0.233383i | ||||
\(943\) | −0.915829 | + | 0.528754i | −0.0298235 | + | 0.0172186i | ||||
\(944\) | −5.08446 | − | 1.85059i | −0.165485 | − | 0.0602317i | ||||
\(945\) | −13.9146 | − | 12.6444i | −0.452641 | − | 0.411323i | ||||
\(946\) | −22.0455 | + | 3.88722i | −0.716761 | + | 0.126384i | ||||
\(947\) | 10.4821 | + | 28.7992i | 0.340621 | + | 0.935848i | 0.985215 | + | 0.171323i | \(0.0548043\pi\) |
−0.644594 | + | 0.764525i | \(0.722974\pi\) | |||||||
\(948\) | −7.47744 | − | 2.83354i | −0.242856 | − | 0.0920292i | ||||
\(949\) | 9.10180i | 0.295457i | ||||||||
\(950\) | −11.1380 | − | 40.1505i | −0.361365 | − | 1.30265i | ||||
\(951\) | −6.32222 | − | 18.1081i | −0.205012 | − | 0.587196i | ||||
\(952\) | 2.24666 | − | 2.67747i | 0.0728147 | − | 0.0867772i | ||||
\(953\) | −5.57402 | + | 2.02878i | −0.180560 | + | 0.0657186i | −0.430718 | − | 0.902486i | \(-0.641740\pi\) |
0.250158 | + | 0.968205i | \(0.419517\pi\) | |||||||
\(954\) | −16.8863 | − | 14.9440i | −0.546715 | − | 0.483829i | ||||
\(955\) | 10.6214 | − | 60.2369i | 0.343700 | − | 1.94922i | ||||
\(956\) | 2.80199 | − | 7.69842i | 0.0906230 | − | 0.248985i | ||||
\(957\) | 22.6742 | + | 19.5401i | 0.732954 | + | 0.631643i | ||||
\(958\) | 31.9668 | + | 18.4561i | 1.03280 | + | 0.596288i | ||||
\(959\) | −12.9273 | − | 15.4062i | −0.417444 | − | 0.497491i | ||||
\(960\) | −22.5513 | + | 37.8994i | −0.727841 | + | 1.22320i | ||||
\(961\) | −3.35647 | + | 5.81357i | −0.108273 | + | 0.187534i | ||||
\(962\) | −0.554205 | − | 0.959912i | −0.0178683 | − | 0.0309488i | ||||
\(963\) | 30.9379 | − | 10.3469i | 0.996961 | − | 0.333424i | ||||
\(964\) | −17.9122 | − | 3.15840i | −0.576912 | − | 0.101725i | ||||
\(965\) | 10.5408 | + | 59.7796i | 0.339319 | + | 1.92437i | ||||
\(966\) | −0.595617 | + | 0.486570i | −0.0191637 | + | 0.0156551i | ||||
\(967\) | 38.7529 | + | 32.5176i | 1.24621 | + | 1.04570i | 0.997012 | + | 0.0772426i | \(0.0246116\pi\) |
0.249198 | + | 0.968452i | \(0.419833\pi\) | |||||||
\(968\) | 14.3968 | 0.462730 | ||||||||
\(969\) | 9.11567 | + | 2.48515i | 0.292838 | + | 0.0798345i | ||||
\(970\) | 40.3160 | 1.29447 | ||||||||
\(971\) | 24.0894 | + | 20.2134i | 0.773065 | + | 0.648679i | 0.941492 | − | 0.337036i | \(-0.109424\pi\) |
−0.168427 | + | 0.985714i | \(0.553869\pi\) | |||||||
\(972\) | −14.7154 | + | 7.25048i | −0.471998 | + | 0.232559i | ||||
\(973\) | −1.15351 | − | 6.54187i | −0.0369798 | − | 0.209723i | ||||
\(974\) | −22.5189 | − | 3.97070i | −0.721554 | − | 0.127229i | ||||
\(975\) | −17.5626 | − | 0.231132i | −0.562454 | − | 0.00740215i | ||||
\(976\) | 1.67902 | + | 2.90815i | 0.0537442 | + | 0.0930877i | ||||
\(977\) | 5.65819 | − | 9.80028i | 0.181022 | − | 0.313539i | −0.761207 | − | 0.648509i | \(-0.775393\pi\) |
0.942229 | + | 0.334970i | \(0.108726\pi\) | |||||||
\(978\) | −5.10117 | − | 3.03536i | −0.163117 | − | 0.0970600i | ||||
\(979\) | 20.5921 | + | 24.5407i | 0.658127 | + | 0.784326i | ||||
\(980\) | 21.4595 | + | 12.3896i | 0.685497 | + | 0.395772i | ||||
\(981\) | 15.1274 | − | 38.3874i | 0.482980 | − | 1.22561i | ||||
\(982\) | 0.187109 | − | 0.514078i | 0.00597089 | − | 0.0164049i | ||||
\(983\) | 2.53074 | − | 14.3526i | 0.0807181 | − | 0.457775i | −0.917481 | − | 0.397781i | \(-0.869781\pi\) |
0.998199 | − | 0.0599947i | \(-0.0191084\pi\) | |||||||
\(984\) | 9.78535 | − | 5.47917i | 0.311946 | − | 0.174669i | ||||
\(985\) | −15.0560 | + | 5.47992i | −0.479723 | + | 0.174605i | ||||
\(986\) | −3.39968 | + | 4.05158i | −0.108268 | + | 0.129029i | ||||
\(987\) | −11.8724 | + | 4.14510i | −0.377903 | + | 0.131940i | ||||
\(988\) | −4.31077 | − | 1.96413i | −0.137144 | − | 0.0624873i | ||||
\(989\) | − | 2.80353i | − | 0.0891469i | ||||||
\(990\) | 44.7361 | + | 1.17770i | 1.42181 | + | 0.0374297i | ||||
\(991\) | 9.66800 | + | 26.5626i | 0.307114 | + | 0.843789i | 0.993216 | + | 0.116284i | \(0.0370981\pi\) |
−0.686102 | + | 0.727505i | \(0.740680\pi\) | |||||||
\(992\) | −25.1200 | + | 4.42933i | −0.797561 | + | 0.140631i | ||||
\(993\) | −5.61225 | − | 34.4756i | −0.178099 | − | 1.09405i | ||||
\(994\) | −2.16962 | − | 0.789679i | −0.0688163 | − | 0.0250471i | ||||
\(995\) | −74.1969 | + | 42.8376i | −2.35220 | + | 1.35804i | ||||
\(996\) | −1.44020 | + | 7.58288i | −0.0456346 | + | 0.240273i | ||||
\(997\) | 29.1031 | − | 24.4204i | 0.921704 | − | 0.773401i | −0.0526054 | − | 0.998615i | \(-0.516753\pi\) |
0.974309 | + | 0.225214i | \(0.0723081\pi\) | |||||||
\(998\) | 3.29331 | − | 2.76342i | 0.104248 | − | 0.0874745i | ||||
\(999\) | −2.66649 | − | 5.07074i | −0.0843641 | − | 0.160431i |
(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 | 57.2.j.b.41.3 | yes | 24 | |
3.2 | odd | 2 | inner | 57.2.j.b.41.2 | yes | 24 | |
4.3 | odd | 2 | 912.2.cc.e.497.2 | 24 | |||
12.11 | even | 2 | 912.2.cc.e.497.3 | 24 | |||
19.5 | even | 9 | 1083.2.d.d.1082.15 | 24 | |||
19.13 | odd | 18 | inner | 57.2.j.b.32.2 | ✓ | 24 | |
19.14 | odd | 18 | 1083.2.d.d.1082.9 | 24 | |||
57.5 | odd | 18 | 1083.2.d.d.1082.10 | 24 | |||
57.14 | even | 18 | 1083.2.d.d.1082.16 | 24 | |||
57.32 | even | 18 | inner | 57.2.j.b.32.3 | yes | 24 | |
76.51 | even | 18 | 912.2.cc.e.545.3 | 24 | |||
228.203 | odd | 18 | 912.2.cc.e.545.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
57.2.j.b.32.2 | ✓ | 24 | 19.13 | odd | 18 | inner | |
57.2.j.b.32.3 | yes | 24 | 57.32 | even | 18 | inner | |
57.2.j.b.41.2 | yes | 24 | 3.2 | odd | 2 | inner | |
57.2.j.b.41.3 | yes | 24 | 1.1 | even | 1 | trivial | |
912.2.cc.e.497.2 | 24 | 4.3 | odd | 2 | |||
912.2.cc.e.497.3 | 24 | 12.11 | even | 2 | |||
912.2.cc.e.545.2 | 24 | 228.203 | odd | 18 | |||
912.2.cc.e.545.3 | 24 | 76.51 | even | 18 | |||
1083.2.d.d.1082.9 | 24 | 19.14 | odd | 18 | |||
1083.2.d.d.1082.10 | 24 | 57.5 | odd | 18 | |||
1083.2.d.d.1082.15 | 24 | 19.5 | even | 9 | |||
1083.2.d.d.1082.16 | 24 | 57.14 | even | 18 |