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 | 41.2 | ||
Character | \(\chi\) | \(=\) | 57.41 |
Dual form | 57.2.j.b.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 \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(40\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 | 0.339866 | − | 0.940474i | \(-0.389618\pi\) |
−0.867169 | + | 0.498014i | \(0.834063\pi\) | |||||||
\(3\) | 0.0227926 | + | 1.73190i | 0.0131593 | + | 0.999913i | ||||
\(4\) | −0.182741 | − | 1.03637i | −0.0913703 | − | 0.518187i | ||||
\(5\) | 3.79113 | + | 0.668479i | 1.69545 | + | 0.298953i | 0.936100 | − | 0.351734i | \(-0.114408\pi\) |
0.759346 | + | 0.650687i | \(0.225519\pi\) | |||||||
\(6\) | 1.06671 | − | 1.30577i | 0.435483 | − | 0.533080i | ||||
\(7\) | −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 | ||||
\(9\) | −2.99896 | + | 0.0789491i | −0.999654 | + | 0.0263164i | ||||
\(10\) | −2.40883 | − | 2.87073i | −0.761739 | − | 0.907805i | ||||
\(11\) | −3.44730 | − | 1.99030i | −1.03940 | − | 0.600098i | −0.119736 | − | 0.992806i | \(-0.538205\pi\) |
−0.919663 | + | 0.392708i | \(0.871538\pi\) | |||||||
\(12\) | 1.79073 | − | 0.340110i | 0.516939 | − | 0.0981814i | ||||
\(13\) | −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 | ||||
\(15\) | −1.07133 | + | 6.58110i | −0.276616 | + | 1.69923i | ||||
\(16\) | 0.740303 | − | 0.269448i | 0.185076 | − | 0.0673620i | ||||
\(17\) | 0.804427 | − | 0.958678i | 0.195102 | − | 0.232514i | −0.659620 | − | 0.751599i | \(-0.729283\pi\) |
0.854722 | + | 0.519085i | \(0.173727\pi\) | |||||||
\(18\) | 2.28578 | + | 1.81767i | 0.538764 | + | 0.428430i | ||||
\(19\) | −4.22014 | − | 1.09106i | −0.968167 | − | 0.250306i | ||||
\(20\) | − | 4.05119i | − | 0.905873i | ||||||
\(21\) | 1.39906 | − | 0.832483i | 0.305299 | − | 0.181663i | ||||
\(22\) | 1.32532 | + | 3.64129i | 0.282560 | + | 0.776326i | ||||
\(23\) | 0.477922 | − | 0.0842705i | 0.0996536 | − | 0.0175716i | −0.123599 | − | 0.992332i | \(-0.539444\pi\) |
0.223253 | + | 0.974761i | \(0.428333\pi\) | |||||||
\(24\) | −4.49054 | − | 2.51441i | −0.916627 | − | 0.513252i | ||||
\(25\) | 9.22735 | + | 3.35848i | 1.84547 | + | 0.671696i | ||||
\(26\) | 0.870616 | − | 0.502651i | 0.170742 | − | 0.0985779i | ||||
\(27\) | −0.205086 | − | 5.19210i | −0.0394688 | − | 0.999221i | ||||
\(28\) | −0.757727 | + | 0.635808i | −0.143197 | + | 0.120156i | ||||
\(29\) | −3.32571 | + | 2.79060i | −0.617568 | + | 0.518201i | −0.897038 | − | 0.441953i | \(-0.854286\pi\) |
0.279470 | + | 0.960155i | \(0.409841\pi\) | |||||||
\(30\) | 4.91692 | − | 4.23729i | 0.897703 | − | 0.773619i | ||||
\(31\) | 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 | ||||
\(33\) | 3.36843 | − | 6.01574i | 0.586368 | − | 1.04721i | ||||
\(34\) | −1.19975 | + | 0.211549i | −0.205756 | + | 0.0362803i | ||||
\(35\) | −1.23755 | − | 3.40014i | −0.209184 | − | 0.574729i | ||||
\(36\) | 0.629853 | + | 3.09362i | 0.104975 | + | 0.515603i | ||||
\(37\) | 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 | −0.496930 | − | 0.867791i | \(-0.665539\pi\) |
0.177135 | + | 0.984187i | \(0.443317\pi\) | |||||||
\(42\) | −1.56421 | − | 0.254637i | −0.241363 | − | 0.0392913i | ||||
\(43\) | −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 | ||||
\(45\) | −11.4222 | − | 1.70544i | −1.70273 | − | 0.254231i | ||||
\(46\) | −0.409126 | − | 0.236209i | −0.0603224 | − | 0.0348271i | ||||
\(47\) | 4.96510 | + | 5.91718i | 0.724235 | + | 0.863110i | 0.995035 | − | 0.0995260i | \(-0.0317326\pi\) |
−0.270800 | + | 0.962636i | \(0.587288\pi\) | |||||||
\(48\) | 0.483531 | + | 1.27599i | 0.0697917 | + | 0.184173i | ||||
\(49\) | 3.05827 | − | 5.29708i | 0.436896 | − | 0.756725i | ||||
\(50\) | −4.77950 | − | 8.27834i | −0.675924 | − | 1.17073i | ||||
\(51\) | 1.67867 | + | 1.37134i | 0.235061 | + | 0.192025i | ||||
\(52\) | 1.07026 | + | 0.188716i | 0.148419 | + | 0.0261703i | ||||
\(53\) | −1.34079 | − | 7.60399i | −0.184172 | − | 1.04449i | −0.927015 | − | 0.375024i | \(-0.877635\pi\) |
0.742844 | − | 0.669465i | \(-0.233477\pi\) | |||||||
\(54\) | −3.09593 | + | 4.00018i | −0.421303 | + | 0.544356i | ||||
\(55\) | −11.7387 | − | 9.84993i | −1.58284 | − | 1.32816i | ||||
\(56\) | 2.79287 | 0.373213 | ||||||||
\(57\) | 1.79342 | − | 7.33373i | 0.237544 | − | 0.971377i | ||||
\(58\) | 4.22621 | 0.554929 | ||||||||
\(59\) | 5.26126 | + | 4.41472i | 0.684958 | + | 0.574748i | 0.917450 | − | 0.397850i | \(-0.130244\pi\) |
−0.232493 | + | 0.972598i | \(0.574688\pi\) | |||||||
\(60\) | 7.01625 | − | 0.0923371i | 0.905794 | − | 0.0119207i | ||||
\(61\) | 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 | ||||
\(63\) | 1.47367 | + | 2.40405i | 0.185664 | + | 0.302882i | ||||
\(64\) | −3.30707 | − | 5.72801i | −0.413384 | − | 0.716001i | ||||
\(65\) | −1.98775 | + | 3.44289i | −0.246550 | + | 0.427038i | ||||
\(66\) | −6.27615 | + | 2.37832i | −0.772541 | + | 0.292751i | ||||
\(67\) | 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 | ||||
\(69\) | 0.156841 | + | 0.825793i | 0.0188815 | + | 0.0994137i | ||||
\(70\) | −1.20471 | + | 3.30993i | −0.143991 | + | 0.395612i | ||||
\(71\) | −0.438181 | + | 2.48505i | −0.0520026 | + | 0.294921i | −0.999706 | − | 0.0242299i | \(-0.992287\pi\) |
0.947704 | + | 0.319151i | \(0.103398\pi\) | |||||||
\(72\) | 4.25236 | − | 7.83448i | 0.501145 | − | 0.923302i | ||||
\(73\) | 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 | ||||||||
\(78\) | 0.890385 | + | 1.49636i | 0.100816 | + | 0.169430i | ||||
\(79\) | −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 | ||||
\(81\) | 8.98753 | − | 0.473530i | 0.998615 | − | 0.0526145i | ||||
\(82\) | 1.99336 | + | 0.725523i | 0.220130 | + | 0.0801206i | ||||
\(83\) | 3.66720 | − | 2.11726i | 0.402527 | − | 0.232399i | −0.285047 | − | 0.958514i | \(-0.592009\pi\) |
0.687574 | + | 0.726114i | \(0.258676\pi\) | |||||||
\(84\) | −1.11843 | − | 1.29782i | −0.122030 | − | 0.141603i | ||||
\(85\) | 3.69054 | − | 3.09673i | 0.400296 | − | 0.335888i | ||||
\(86\) | 4.30799 | − | 3.61483i | 0.464542 | − | 0.389797i | ||||
\(87\) | −4.90884 | − | 5.69619i | −0.526283 | − | 0.610696i | ||||
\(88\) | 10.2432 | − | 5.91392i | 1.09193 | − | 0.630426i | ||||
\(89\) | −7.56260 | − | 2.75256i | −0.801634 | − | 0.291771i | −0.0914708 | − | 0.995808i | \(-0.529157\pi\) |
−0.710164 | + | 0.704037i | \(0.751379\pi\) | |||||||
\(90\) | 7.45063 | + | 8.41904i | 0.785366 | + | 0.887445i | ||||
\(91\) | 0.955916 | − | 0.168554i | 0.100207 | − | 0.0176692i | ||||
\(92\) | −0.174671 | − | 0.479906i | −0.0182108 | − | 0.0500336i | ||||
\(93\) | 4.36485 | + | 7.33548i | 0.452614 | + | 0.760654i | ||||
\(94\) | − | 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 | ||||
\(99\) | 10.4954 | + | 5.69667i | 1.05483 | + | 0.572537i | ||||
\(100\) | 1.79443 | − | 10.1767i | 0.179443 | − | 1.01767i | ||||
\(101\) | 5.98720 | − | 16.4497i | 0.595749 | − | 1.63681i | −0.163904 | − | 0.986476i | \(-0.552409\pi\) |
0.759652 | − | 0.650329i | \(-0.225369\pi\) | |||||||
\(102\) | −0.393727 | − | 2.07303i | −0.0389848 | − | 0.205261i | ||||
\(103\) | −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 | ||||
\(105\) | 5.86050 | − | 2.22081i | 0.571926 | − | 0.216729i | ||||
\(106\) | −3.75822 | + | 6.50942i | −0.365030 | + | 0.632251i | ||||
\(107\) | 5.43705 | + | 9.41724i | 0.525619 | + | 0.910399i | 0.999555 | + | 0.0298397i | \(0.00949967\pi\) |
−0.473935 | + | 0.880560i | \(0.657167\pi\) | |||||||
\(108\) | −5.34348 | + | 1.16135i | −0.514177 | + | 0.111751i | ||||
\(109\) | −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 | ||||
\(111\) | −1.90954 | + | 0.0251304i | −0.181245 | + | 0.00238527i | ||||
\(112\) | −0.567246 | − | 0.475976i | −0.0535997 | − | 0.0449755i | ||||
\(113\) | 9.69889 | 0.912395 | 0.456198 | − | 0.889879i | \(-0.349211\pi\) | ||||
0.456198 | + | 0.889879i | \(0.349211\pi\) | |||||||
\(114\) | −5.92634 | + | 4.34671i | −0.555053 | + | 0.407107i | ||||
\(115\) | 1.86820 | 0.174210 | ||||||||
\(116\) | 3.49985 | + | 2.93672i | 0.324953 | + | 0.272668i | ||||
\(117\) | 0.982633 | − | 2.93814i | 0.0908445 | − | 0.271631i | ||||
\(118\) | −1.16099 | − | 6.58429i | −0.106878 | − | 0.606133i | ||||
\(119\) | −1.15841 | − | 0.204260i | −0.106192 | − | 0.0187245i | ||||
\(120\) | −15.3434 | − | 12.5343i | −1.40065 | − | 1.14422i | ||||
\(121\) | 2.42258 | + | 4.19603i | 0.220234 | + | 0.381457i | ||||
\(122\) | 2.07470 | − | 3.59348i | 0.187834 | − | 0.325338i | ||||
\(123\) | −1.33745 | − | 3.52941i | −0.120594 | − | 0.318236i | ||||
\(124\) | −3.33365 | − | 3.97289i | −0.299371 | − | 0.356776i | ||||
\(125\) | 16.0677 | + | 9.27670i | 1.43714 | + | 0.829733i | ||||
\(126\) | 0.405353 | − | 2.71487i | 0.0361117 | − | 0.241860i | ||||
\(127\) | −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 | ||||
\(129\) | −9.87598 | − | 1.60770i | −0.869531 | − | 0.141550i | ||||
\(130\) | 3.63663 | − | 1.32363i | 0.318954 | − | 0.116090i | ||||
\(131\) | −10.7966 | + | 12.8668i | −0.943299 | + | 1.12418i | 0.0488102 | + | 0.998808i | \(0.484457\pi\) |
−0.992110 | + | 0.125372i | \(0.959987\pi\) | |||||||
\(132\) | −6.85010 | − | 2.39163i | −0.596225 | − | 0.208164i | ||||
\(133\) | 1.09519 | + | 3.94795i | 0.0949650 | + | 0.342331i | ||||
\(134\) | − | 1.39116i | − | 0.120178i | ||||||
\(135\) | 2.69330 | − | 19.8210i | 0.231803 | − | 1.70592i | ||||
\(136\) | 1.27183 | + | 3.49432i | 0.109058 | + | 0.299635i | ||||
\(137\) | −21.0716 | + | 3.71550i | −1.80027 | + | 0.317436i | −0.970579 | − | 0.240784i | \(-0.922595\pi\) |
−0.829693 | + | 0.558221i | \(0.811484\pi\) | |||||||
\(138\) | 0.399766 | − | 0.713950i | 0.0340303 | − | 0.0607755i | ||||
\(139\) | 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 | ||||
\(141\) | −10.1348 | + | 8.73394i | −0.853504 | + | 0.735530i | ||||
\(142\) | 1.88174 | − | 1.57897i | 0.157912 | − | 0.132504i | ||||
\(143\) | 3.14903 | − | 2.64235i | 0.263335 | − | 0.220964i | ||||
\(144\) | −2.19887 | + | 0.866511i | −0.183239 | + | 0.0722092i | ||||
\(145\) | −14.4737 | + | 8.35637i | −1.20197 | + | 0.693959i | ||||
\(146\) | −8.06232 | − | 2.93444i | −0.667242 | − | 0.242856i | ||||
\(147\) | 9.24372 | + | 5.17589i | 0.762409 | + | 0.426900i | ||||
\(148\) | 1.14267 | − | 0.201484i | 0.0939269 | − | 0.0165619i | ||||
\(149\) | 2.02439 | + | 5.56197i | 0.165845 | + | 0.455655i | 0.994579 | − | 0.103988i | \(-0.0331605\pi\) |
−0.828734 | + | 0.559643i | \(0.810938\pi\) | |||||||
\(150\) | 14.2283 | − | 8.46631i | 1.16174 | − | 0.691271i | ||||
\(151\) | − | 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 | ||||
\(156\) | −0.302444 | + | 1.85789i | −0.0242149 | + | 0.148750i | ||||
\(157\) | −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 | ||||
\(159\) | 13.1388 | − | 2.49543i | 1.04197 | − | 0.197900i | ||||
\(160\) | 17.2555 | + | 9.96249i | 1.36417 | + | 0.787604i | ||||
\(161\) | −0.293202 | − | 0.349424i | −0.0231075 | − | 0.0275385i | ||||
\(162\) | −6.99848 | − | 5.27067i | −0.549853 | − | 0.414103i | ||||
\(163\) | −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 | ||||
\(165\) | 16.7915 | − | 20.5548i | 1.30722 | − | 1.60019i | ||||
\(166\) | −4.05954 | − | 0.715806i | −0.315081 | − | 0.0555573i | ||||
\(167\) | −1.25909 | − | 7.14068i | −0.0974316 | − | 0.552562i | −0.993975 | − | 0.109606i | \(-0.965041\pi\) |
0.896543 | − | 0.442956i | \(-0.146070\pi\) | |||||||
\(168\) | 0.0636568 | + | 4.83698i | 0.00491123 | + | 0.373181i | ||||
\(169\) | 9.14161 | + | 7.67072i | 0.703201 | + | 0.590056i | ||||
\(170\) | −4.68984 | −0.359694 | ||||||||
\(171\) | 12.7422 | + | 2.93886i | 0.974419 | + | 0.224740i | ||||
\(172\) | 6.07944 | 0.463553 | ||||||||
\(173\) | −11.9969 | − | 10.0666i | −0.912110 | − | 0.765351i | 0.0604095 | − | 0.998174i | \(-0.480759\pi\) |
−0.972519 | + | 0.232823i | \(0.925204\pi\) | |||||||
\(174\) | 0.0963264 | + | 7.31938i | 0.00730249 | + | 0.554881i | ||||
\(175\) | −1.60271 | − | 9.08943i | −0.121154 | − | 0.687096i | ||||
\(176\) | −3.08833 | − | 0.544555i | −0.232791 | − | 0.0410474i | ||||
\(177\) | −7.52594 | + | 9.21260i | −0.565684 | + | 0.692462i | ||||
\(178\) | 3.91721 | + | 6.78481i | 0.293607 | + | 0.508543i | ||||
\(179\) | 6.47528 | − | 11.2155i | 0.483985 | − | 0.838287i | −0.515845 | − | 0.856682i | \(-0.672522\pi\) |
0.999831 | + | 0.0183944i | \(0.00585546\pi\) | |||||||
\(180\) | 0.319837 | + | 12.1494i | 0.0238393 | + | 0.905559i | ||||
\(181\) | 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 | ||||
\(183\) | −7.25318 | + | 1.37758i | −0.536171 | + | 0.101834i | ||||
\(184\) | −0.493190 | + | 1.35503i | −0.0363585 | + | 0.0998941i | ||||
\(185\) | −0.737042 | + | 4.17997i | −0.0541884 | + | 0.307318i | ||||
\(186\) | 1.33510 | − | 8.20144i | 0.0978944 | − | 0.601359i | ||||
\(187\) | −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 | \(-0.805064\pi\) | ||
0.818266 | − | 0.574840i | \(-0.194936\pi\) | |||||||
\(192\) | 9.84497 | − | 5.85807i | 0.710499 | − | 0.422770i | ||||
\(193\) | −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 | ||||
\(195\) | −6.00805 | − | 3.36412i | −0.430245 | − | 0.240909i | ||||
\(196\) | −6.04862 | − | 2.20152i | −0.432044 | − | 0.157251i | ||||
\(197\) | −3.60442 | + | 2.08101i | −0.256804 | + | 0.148266i | −0.622876 | − | 0.782321i | \(-0.714036\pi\) |
0.366072 | + | 0.930587i | \(0.380703\pi\) | |||||||
\(198\) | −4.26207 | − | 10.8155i | −0.302892 | − | 0.768621i | ||||
\(199\) | 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 | ||||
\(201\) | −1.87504 | + | 1.61587i | −0.132255 | + | 0.113975i | ||||
\(202\) | −14.7579 | + | 8.52047i | −1.03836 | + | 0.599498i | ||||
\(203\) | 3.83451 | + | 1.39565i | 0.269130 | + | 0.0979552i | ||||
\(204\) | 1.11446 | − | 1.99033i | 0.0780275 | − | 0.139351i | ||||
\(205\) | −8.26127 | + | 1.45669i | −0.576992 | + | 0.101739i | ||||
\(206\) | 0.507844 | + | 1.39529i | 0.0353831 | + | 0.0972144i | ||||
\(207\) | −1.42662 | + | 0.290455i | −0.0991567 | + | 0.0201881i | ||||
\(208\) | 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 | ||||
\(213\) | −4.31385 | − | 0.702246i | −0.295580 | − | 0.0481171i | ||||
\(214\) | 1.83817 | − | 10.4248i | 0.125654 | − | 0.712622i | ||||
\(215\) | −7.60621 | + | 20.8979i | −0.518739 | + | 1.42522i | ||||
\(216\) | 13.6655 | + | 7.18610i | 0.929817 | + | 0.488952i | ||||
\(217\) | −4.01155 | − | 2.31607i | −0.272322 | − | 0.157225i | ||||
\(218\) | 8.60601 | + | 10.2562i | 0.582873 | + | 0.694641i | ||||
\(219\) | 5.40945 | + | 14.2750i | 0.365537 | + | 0.964615i | ||||
\(220\) | −8.06307 | + | 13.9656i | −0.543612 | + | 0.941564i | ||||
\(221\) | 0.646195 | + | 1.11924i | 0.0434678 | + | 0.0752884i | ||||
\(222\) | 1.43970 | + | 1.17612i | 0.0966265 | + | 0.0789359i | ||||
\(223\) | −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 | ||||
\(225\) | −27.9376 | − | 9.34347i | −1.86251 | − | 0.622898i | ||||
\(226\) | −7.23265 | − | 6.06892i | −0.481109 | − | 0.403698i | ||||
\(227\) | −8.03209 | −0.533109 | −0.266554 | − | 0.963820i | \(-0.585885\pi\) | ||||
−0.266554 | + | 0.963820i | \(0.585885\pi\) | |||||||
\(228\) | −7.92822 | − | 0.518477i | −0.525059 | − | 0.0343370i | ||||
\(229\) | −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 | ||||
\(231\) | −6.47985 | + | 0.0852778i | −0.426343 | + | 0.00561087i | ||||
\(232\) | −2.24005 | − | 12.7040i | −0.147066 | − | 0.834055i | ||||
\(233\) | −4.41323 | − | 0.778172i | −0.289120 | − | 0.0509797i | 0.0272070 | − | 0.999630i | \(-0.491339\pi\) |
−0.316327 | + | 0.948650i | \(0.602450\pi\) | |||||||
\(234\) | −2.57126 | + | 1.57616i | −0.168089 | + | 0.103037i | ||||
\(235\) | 14.8679 | + | 25.7519i | 0.969872 | + | 1.67987i | ||||
\(236\) | 3.61385 | − | 6.25938i | 0.235242 | − | 0.407451i | ||||
\(237\) | 7.10539 | − | 2.69256i | 0.461545 | − | 0.174900i | ||||
\(238\) | 0.736040 | + | 0.877179i | 0.0477104 | + | 0.0568590i | ||||
\(239\) | −6.74189 | − | 3.89243i | −0.436096 | − | 0.251780i | 0.265844 | − | 0.964016i | \(-0.414349\pi\) |
−0.701940 | + | 0.712236i | \(0.747683\pi\) | |||||||
\(240\) | 0.980157 | + | 5.16067i | 0.0632689 | + | 0.333120i | ||||
\(241\) | 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 | ||||
\(243\) | 1.02496 | + | 15.5547i | 0.0657510 | + | 0.997836i | ||||
\(244\) | 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 | ||||||||
\(249\) | 3.75047 | + | 6.30297i | 0.237676 | + | 0.399434i | ||||
\(250\) | −6.17727 | − | 16.9719i | −0.390685 | − | 1.07340i | ||||
\(251\) | 8.62554 | − | 1.52092i | 0.544439 | − | 0.0959994i | 0.105337 | − | 0.994437i | \(-0.466408\pi\) |
0.439102 | + | 0.898437i | \(0.355297\pi\) | |||||||
\(252\) | 2.22220 | − | 1.96659i | 0.139985 | − | 0.123883i | ||||
\(253\) | −1.81526 | − | 0.660702i | −0.114125 | − | 0.0415380i | ||||
\(254\) | 8.02678 | − | 4.63426i | 0.503645 | − | 0.290779i | ||||
\(255\) | 5.44735 | + | 6.32107i | 0.341126 | + | 0.395841i | ||||
\(256\) | −13.0515 | + | 10.9515i | −0.815717 | + | 0.684468i | ||||
\(257\) | 18.4633 | − | 15.4925i | 1.15171 | − | 0.966398i | 0.151950 | − | 0.988388i | \(-0.451445\pi\) |
0.999758 | + | 0.0219902i | \(0.00700027\pi\) | |||||||
\(258\) | 6.35872 | + | 7.37862i | 0.395876 | + | 0.459373i | ||||
\(259\) | 0.897489 | − | 0.518165i | 0.0557672 | − | 0.0321972i | ||||
\(260\) | 3.93136 | + | 1.43090i | 0.243813 | + | 0.0887405i | ||||
\(261\) | 9.75335 | − | 8.63146i | 0.603717 | − | 0.534274i | ||||
\(262\) | 16.1024 | − | 2.83929i | 0.994810 | − | 0.175412i | ||||
\(263\) | 4.76306 | + | 13.0864i | 0.293703 | + | 0.806941i | 0.995517 | + | 0.0945816i | \(0.0301513\pi\) |
−0.701814 | + | 0.712360i | \(0.747626\pi\) | |||||||
\(264\) | 10.4758 | + | 17.6054i | 0.644741 | + | 1.08354i | ||||
\(265\) | − | 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 | −0.857757 | − | 0.514055i | \(-0.828143\pi\) |
−0.326652 | + | 0.945145i | \(0.605920\pi\) | |||||||
\(270\) | −14.4111 | + | 13.0956i | −0.877033 | + | 0.796976i | ||||
\(271\) | 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 | ||||
\(273\) | 0.313706 | + | 1.65171i | 0.0189864 | + | 0.0999661i | ||||
\(274\) | 18.0384 | + | 10.4145i | 1.08974 | + | 0.629163i | ||||
\(275\) | −25.1251 | − | 29.9429i | −1.51510 | − | 1.80562i | ||||
\(276\) | 0.827168 | − | 0.313452i | 0.0497897 | − | 0.0188676i | ||||
\(277\) | −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 | ||||
\(279\) | −12.6048 | + | 7.72668i | −0.754632 | + | 0.462584i | ||||
\(280\) | 10.5881 | + | 1.86698i | 0.632763 | + | 0.111573i | ||||
\(281\) | 3.26188 | + | 18.4991i | 0.194588 | + | 1.10356i | 0.913005 | + | 0.407949i | \(0.133756\pi\) |
−0.718417 | + | 0.695613i | \(0.755133\pi\) | |||||||
\(282\) | 13.0228 | − | 0.171386i | 0.775498 | − | 0.0102059i | ||||
\(283\) | −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 | ||||||||
\(285\) | 11.7015 | − | 26.6043i | 0.693138 | − | 1.57590i | ||||
\(286\) | −4.00170 | −0.236625 | ||||||||
\(287\) | 1.56901 | + | 1.31656i | 0.0926158 | + | 0.0777138i | ||||
\(288\) | −14.7258 | − | 4.92490i | −0.867726 | − | 0.290202i | ||||
\(289\) | 2.68006 | + | 15.1994i | 0.157650 | + | 0.894080i | ||||
\(290\) | 16.0221 | + | 2.82513i | 0.940852 | + | 0.165898i | ||||
\(291\) | −14.4306 | − | 11.7886i | −0.845938 | − | 0.691062i | ||||
\(292\) | −4.63754 | − | 8.03245i | −0.271391 | − | 0.470064i | ||||
\(293\) | −11.4509 | + | 19.8336i | −0.668970 | + | 1.15869i | 0.309222 | + | 0.950990i | \(0.399931\pi\) |
−0.978192 | + | 0.207701i | \(0.933402\pi\) | |||||||
\(294\) | −3.65450 | − | 9.64386i | −0.213135 | − | 0.562441i | ||||
\(295\) | 16.9950 | + | 20.2538i | 0.989486 | + | 1.17922i | ||||
\(296\) | −2.83722 | − | 1.63807i | −0.164910 | − | 0.0952108i | ||||
\(297\) | −9.62684 | + | 18.3069i | −0.558606 | + | 1.06227i | ||||
\(298\) | 1.97068 | − | 5.41440i | 0.114158 | − | 0.313648i | ||||
\(299\) | −0.0870263 | + | 0.493551i | −0.00503286 | + | 0.0285428i | ||||
\(300\) | 17.6660 | + | 2.87582i | 1.01994 | + | 0.166036i | ||||
\(301\) | 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 | ||||||||
\(306\) | 3.58131 | − | 0.729146i | 0.204730 | − | 0.0416825i | ||||
\(307\) | 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 | ||||
\(309\) | 1.29073 | − | 2.30514i | 0.0734271 | − | 0.131135i | ||||
\(310\) | −17.3545 | − | 6.31652i | −0.985670 | − | 0.358754i | ||||
\(311\) | −6.19121 | + | 3.57450i | −0.351071 | + | 0.202691i | −0.665157 | − | 0.746704i | \(-0.731635\pi\) |
0.314086 | + | 0.949395i | \(0.398302\pi\) | |||||||
\(312\) | 4.02612 | − | 3.46961i | 0.227934 | − | 0.196428i | ||||
\(313\) | 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 | ||||
\(315\) | 3.97980 | + | 10.0992i | 0.224236 | + | 0.569025i | ||||
\(316\) | −3.99816 | + | 2.30834i | −0.224914 | + | 0.129854i | ||||
\(317\) | 10.4058 | + | 3.78740i | 0.584448 | + | 0.212722i | 0.617286 | − | 0.786739i | \(-0.288232\pi\) |
−0.0328380 | + | 0.999461i | \(0.510455\pi\) | |||||||
\(318\) | −11.3593 | − | 6.36049i | −0.637000 | − | 0.356679i | ||||
\(319\) | 17.0188 | − | 3.00088i | 0.952872 | − | 0.168017i | ||||
\(320\) | −8.70848 | − | 23.9263i | −0.486819 | − | 1.33752i | ||||
\(321\) | −16.1858 | + | 9.63107i | −0.903404 | + | 0.537554i | ||||
\(322\) | 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 | ||||
\(327\) | 3.82753 | − | 23.5123i | 0.211663 | − | 1.30023i | ||||
\(328\) | 1.12436 | − | 6.37657i | 0.0620824 | − | 0.352087i | ||||
\(329\) | 2.48317 | − | 6.82245i | 0.136902 | − | 0.376134i | ||||
\(330\) | −25.3836 | + | 4.82105i | −1.39732 | + | 0.265390i | ||||
\(331\) | −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 | ||||
\(333\) | −0.0870466 | − | 3.30655i | −0.00477012 | − | 0.181198i | ||||
\(334\) | −3.52923 | + | 6.11280i | −0.193111 | + | 0.334477i | ||||
\(335\) | 2.75071 | + | 4.76436i | 0.150287 | + | 0.260305i | ||||
\(336\) | 0.811414 | − | 0.993262i | 0.0442662 | − | 0.0541869i | ||||
\(337\) | 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 | ||||
\(339\) | 0.221063 | + | 16.7975i | 0.0120065 | + | 0.912316i | ||||
\(340\) | −3.88378 | − | 3.25888i | −0.210628 | − | 0.176738i | ||||
\(341\) | −19.6171 | −1.06233 | ||||||||
\(342\) | −7.66315 | − | 10.1648i | −0.414375 | − | 0.549648i | ||||
\(343\) | −12.3286 | −0.665681 | ||||||||
\(344\) | −13.1495 | − | 11.0338i | −0.708975 | − | 0.594901i | ||||
\(345\) | 0.0425811 | + | 3.23553i | 0.00229249 | + | 0.174195i | ||||
\(346\) | 2.64733 | + | 15.0137i | 0.142321 | + | 0.807144i | ||||
\(347\) | 20.4261 | + | 3.60168i | 1.09653 | + | 0.193348i | 0.692516 | − | 0.721403i | \(-0.256502\pi\) |
0.404017 | + | 0.914751i | \(0.367613\pi\) | |||||||
\(348\) | −5.00634 | + | 6.12832i | −0.268368 | + | 0.328513i | ||||
\(349\) | −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 | ||||
\(351\) | 5.11097 | + | 1.63486i | 0.272803 | + | 0.0872621i | ||||
\(352\) | −13.2433 | − | 15.7828i | −0.705871 | − | 0.841224i | ||||
\(353\) | −20.0695 | − | 11.5871i | −1.06819 | − | 0.616721i | −0.140505 | − | 0.990080i | \(-0.544873\pi\) |
−0.927687 | + | 0.373359i | \(0.878206\pi\) | |||||||
\(354\) | 11.3769 | − | 2.16079i | 0.604674 | − | 0.114845i | ||||
\(355\) | −3.32241 | + | 9.12824i | −0.176335 | + | 0.484477i | ||||
\(356\) | −1.47069 | + | 8.34069i | −0.0779463 | + | 0.442055i | ||||
\(357\) | 0.327354 | − | 2.01092i | 0.0173254 | − | 0.106429i | ||||
\(358\) | −11.8467 | + | 4.31183i | −0.626116 | + | 0.227887i | ||||
\(359\) | 4.97359 | − | 5.92729i | 0.262496 | − | 0.312831i | −0.618658 | − | 0.785661i | \(-0.712323\pi\) |
0.881154 | + | 0.472830i | \(0.156768\pi\) | |||||||
\(360\) | 21.3584 | − | 26.8589i | 1.12569 | − | 1.41559i | ||||
\(361\) | 16.6192 | + | 9.20883i | 0.874694 | + | 0.484675i | ||||
\(362\) | − | 3.85252i | − | 0.202484i | ||||||
\(363\) | −7.21189 | + | 4.29130i | −0.378526 | + | 0.225235i | ||||
\(364\) | −0.349369 | − | 0.959885i | −0.0183119 | − | 0.0503116i | ||||
\(365\) | 33.4135 | − | 5.89170i | 1.74894 | − | 0.308385i | ||||
\(366\) | 6.27084 | + | 3.51126i | 0.327782 | + | 0.183537i | ||||
\(367\) | −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 | ||||
\(369\) | 6.08210 | − | 2.39678i | 0.316621 | − | 0.124771i | ||||
\(370\) | 3.16517 | − | 2.65590i | 0.164550 | − | 0.138073i | ||||
\(371\) | −5.55953 | + | 4.66500i | −0.288636 | + | 0.242195i | ||||
\(372\) | 6.80467 | − | 5.86410i | 0.352805 | − | 0.304040i | ||||
\(373\) | 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 | ||||
\(375\) | −15.7001 | + | 28.0391i | −0.810749 | + | 1.44793i | ||||
\(376\) | −22.6032 | + | 3.98555i | −1.16567 | + | 0.205539i | ||||
\(377\) | −1.53340 | − | 4.21299i | −0.0789743 | − | 0.216980i | ||||
\(378\) | 4.71112 | + | 0.640152i | 0.242314 | + | 0.0329259i | ||||
\(379\) | 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 | −0.362001 | − | 0.932178i | \(-0.617906\pi\) |
0.321883 | + | 0.946779i | \(0.395684\pi\) | |||||||
\(384\) | 6.68951 | + | 1.08898i | 0.341372 | + | 0.0555716i | ||||
\(385\) | −2.50109 | + | 14.1844i | −0.127467 | + | 0.722904i | ||||
\(386\) | −5.24998 | + | 14.4242i | −0.267217 | + | 0.734172i | ||||
\(387\) | 2.55927 | − | 17.1409i | 0.130095 | − | 0.871319i | ||||
\(388\) | 9.80469 | + | 5.66074i | 0.497758 | + | 0.287381i | ||||
\(389\) | −2.71775 | − | 3.23889i | −0.137795 | − | 0.164218i | 0.692734 | − | 0.721194i | \(-0.256406\pi\) |
−0.830529 | + | 0.556975i | \(0.811962\pi\) | |||||||
\(390\) | 2.37528 | + | 6.26812i | 0.120277 | + | 0.317398i | ||||
\(391\) | 0.303665 | − | 0.525963i | 0.0153570 | − | 0.0265991i | ||||
\(392\) | 9.08726 | + | 15.7396i | 0.458976 | + | 0.794970i | ||||
\(393\) | −22.5302 | − | 18.4053i | −1.13650 | − | 0.928424i | ||||
\(394\) | 3.99005 | + | 0.703553i | 0.201016 | + | 0.0354445i | ||||
\(395\) | −2.93259 | − | 16.6316i | −0.147555 | − | 0.836825i | ||||
\(396\) | 3.98593 | − | 11.9182i | 0.200301 | − | 0.598913i | ||||
\(397\) | 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 | ||||||||
\(399\) | −6.81250 | + | 1.98674i | −0.341051 | + | 0.0994616i | ||||
\(400\) | 7.73597 | 0.386799 | ||||||||
\(401\) | 18.0223 | + | 15.1225i | 0.899990 | + | 0.755181i | 0.970188 | − | 0.242352i | \(-0.0779189\pi\) |
−0.0701986 | + | 0.997533i | \(0.522363\pi\) | |||||||
\(402\) | 2.40936 | − | 0.0317082i | 0.120168 | − | 0.00158146i | ||||
\(403\) | 0.883756 | + | 5.01203i | 0.0440230 | + | 0.249667i | ||||
\(404\) | −18.1421 | − | 3.19895i | −0.902605 | − | 0.159154i | ||||
\(405\) | 34.3895 | + | 4.21276i | 1.70883 | + | 0.209334i | ||||
\(406\) | −1.98616 | − | 3.44014i | −0.0985717 | − | 0.170731i | ||||
\(407\) | 2.19444 | − | 3.80087i | 0.108774 | − | 0.188402i | ||||
\(408\) | −6.02282 | + | 2.28232i | −0.298174 | + | 0.112992i | ||||
\(409\) | −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 | ||||
\(411\) | −6.91515 | − | 36.4093i | −0.341099 | − | 1.79594i | ||||
\(412\) | −0.549001 | + | 1.50837i | −0.0270474 | + | 0.0743120i | ||||
\(413\) | 1.12098 | − | 6.35742i | 0.0551601 | − | 0.312828i | ||||
\(414\) | 1.24560 | + | 0.676082i | 0.0612180 | + | 0.0332276i | ||||
\(415\) | 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 | \(0.122128\pi\) | ||||
−0.927294 | + | 0.374333i | \(0.877872\pi\) | |||||||
\(420\) | −3.37254 | − | 5.66783i | −0.164563 | − | 0.276562i | ||||
\(421\) | −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 | ||||
\(423\) | −15.3573 | − | 17.3534i | −0.746698 | − | 0.843751i | ||||
\(424\) | 21.5592 | + | 7.84692i | 1.04701 | + | 0.381080i | ||||
\(425\) | 10.6424 | − | 6.14441i | 0.516234 | − | 0.298048i | ||||
\(426\) | 2.77750 | + | 3.22299i | 0.134570 | + | 0.156155i | ||||
\(427\) | 3.06910 | − | 2.57528i | 0.148524 | − | 0.124627i | ||||
\(428\) | 8.76621 | − | 7.35572i | 0.423731 | − | 0.355552i | ||||
\(429\) | 4.64806 | + | 5.39358i | 0.224411 | + | 0.260405i | ||||
\(430\) | 18.7486 | − | 10.8245i | 0.904137 | − | 0.522004i | ||||
\(431\) | 21.0743 | + | 7.67041i | 1.01511 | + | 0.369471i | 0.795394 | − | 0.606093i | \(-0.207264\pi\) |
0.219719 | + | 0.975563i | \(0.429486\pi\) | |||||||
\(432\) | −1.55083 | − | 3.78847i | −0.0746143 | − | 0.182273i | ||||
\(433\) | 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 | ||||
\(435\) | −14.8023 | − | 24.8765i | −0.709716 | − | 1.19274i | ||||
\(436\) | 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 | ||||
\(441\) | −8.75343 | + | 16.1272i | −0.416830 | + | 0.767961i | ||||
\(442\) | 0.218467 | − | 1.23899i | 0.0103914 | − | 0.0589326i | ||||
\(443\) | −0.466572 | + | 1.28190i | −0.0221675 | + | 0.0609047i | −0.950283 | − | 0.311388i | \(-0.899206\pi\) |
0.928115 | + | 0.372293i | \(0.121428\pi\) | |||||||
\(444\) | 0.374994 | + | 1.97440i | 0.0177964 | + | 0.0937008i | ||||
\(445\) | −26.8308 | − | 15.4908i | −1.27190 | − | 0.734333i | ||||
\(446\) | 15.9308 | + | 18.9856i | 0.754345 | + | 0.898993i | ||||
\(447\) | −9.58664 | + | 3.63282i | −0.453433 | + | 0.171826i | ||||
\(448\) | −3.10840 | + | 5.38391i | −0.146858 | + | 0.254366i | ||||
\(449\) | −12.5605 | − | 21.7554i | −0.592767 | − | 1.02670i | −0.993858 | − | 0.110664i | \(-0.964702\pi\) |
0.401091 | − | 0.916038i | \(-0.368631\pi\) | |||||||
\(450\) | 14.9871 | + | 24.4491i | 0.706499 | + | 1.15254i | ||||
\(451\) | 8.54236 | + | 1.50625i | 0.402244 | + | 0.0709265i | ||||
\(452\) | −1.77238 | − | 10.0517i | −0.0833658 | − | 0.472791i | ||||
\(453\) | 28.0907 | − | 0.369686i | 1.31981 | − | 0.0173694i | ||||
\(454\) | 5.98969 | + | 5.02594i | 0.281110 | + | 0.235879i | ||||
\(455\) | 3.73668 | 0.175178 | ||||||||
\(456\) | 16.2073 | + | 15.5106i | 0.758978 | + | 0.726351i | ||||
\(457\) | 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 | ||||
\(459\) | −5.14253 | − | 3.98005i | −0.240033 | − | 0.185773i | ||||
\(460\) | −0.341396 | − | 1.93615i | −0.0159177 | − | 0.0902735i | ||||
\(461\) | −24.2759 | − | 4.28049i | −1.13064 | − | 0.199362i | −0.423132 | − | 0.906068i | \(-0.639069\pi\) |
−0.707508 | + | 0.706706i | \(0.750181\pi\) | |||||||
\(462\) | 4.88551 | + | 3.99106i | 0.227295 | + | 0.185681i | ||||
\(463\) | −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 | ||||
\(465\) | 11.6441 | + | 30.7276i | 0.539982 | + | 1.42496i | ||||
\(466\) | 2.80410 | + | 3.34180i | 0.129898 | + | 0.154806i | ||||
\(467\) | 2.55047 | + | 1.47252i | 0.118022 | + | 0.0681399i | 0.557849 | − | 0.829943i | \(-0.311627\pi\) |
−0.439827 | + | 0.898083i | \(0.644960\pi\) | |||||||
\(468\) | −3.22458 | − | 0.481457i | −0.149056 | − | 0.0222554i | ||||
\(469\) | 0.459412 | − | 1.26222i | 0.0212137 | − | 0.0582841i | ||||
\(470\) | 5.02655 | − | 28.5070i | 0.231857 | − | 1.31493i | ||||
\(471\) | −38.9224 | − | 6.33614i | −1.79345 | − | 0.291954i | ||||
\(472\) | −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 | ||||||||
\(477\) | 4.62130 | + | 22.6982i | 0.211595 | + | 1.03928i | ||||
\(478\) | 2.59193 | + | 7.12128i | 0.118552 | + | 0.325720i | ||||
\(479\) | −37.3421 | + | 6.58442i | −1.70620 | + | 0.300850i | −0.939855 | − | 0.341574i | \(-0.889040\pi\) |
−0.766350 | + | 0.642424i | \(0.777929\pi\) | |||||||
\(480\) | −16.8608 | + | 30.1120i | −0.769585 | + | 1.37442i | ||||
\(481\) | −1.06995 | − | 0.389432i | −0.0487857 | − | 0.0177565i | ||||
\(482\) | −14.5708 | + | 8.41247i | −0.663683 | + | 0.383177i | ||||
\(483\) | 0.598485 | − | 0.515761i | 0.0272320 | − | 0.0234679i | ||||
\(484\) | 3.90595 | − | 3.27748i | 0.177543 | − | 0.148976i | ||||
\(485\) | −31.7256 | + | 26.6209i | −1.44059 | + | 1.20879i | ||||
\(486\) | 8.96877 | − | 12.2408i | 0.406832 | − | 0.555254i | ||||
\(487\) | −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 | ||||
\(489\) | −5.32044 | − | 2.97910i | −0.240599 | − | 0.134720i | ||||
\(490\) | −22.5734 | + | 3.98029i | −1.01976 | + | 0.179811i | ||||
\(491\) | 0.192209 | + | 0.528090i | 0.00867427 | + | 0.0238324i | 0.943954 | − | 0.330076i | \(-0.107075\pi\) |
−0.935280 | + | 0.353909i | \(0.884852\pi\) | |||||||
\(492\) | −3.41338 | + | 2.03107i | −0.153887 | + | 0.0915676i | ||||
\(493\) | 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 | ||||
\(498\) | 1.14718 | − | 7.04703i | 0.0514063 | − | 0.315785i | ||||
\(499\) | 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 | ||||
\(501\) | 12.3383 | − | 2.34338i | 0.551232 | − | 0.104695i | ||||
\(502\) | −7.38392 | − | 4.26311i | −0.329560 | − | 0.190272i | ||||
\(503\) | 15.8601 | + | 18.9014i | 0.707168 | + | 0.842770i | 0.993317 | − | 0.115415i | \(-0.0368199\pi\) |
−0.286150 | + | 0.958185i | \(0.592375\pi\) | |||||||
\(504\) | −8.37571 | + | 0.220495i | −0.373084 | + | 0.00982161i | ||||
\(505\) | 33.6945 | − | 58.3606i | 1.49939 | − | 2.59701i | ||||
\(506\) | 0.940254 | + | 1.62857i | 0.0417994 | + | 0.0723987i | ||||
\(507\) | −13.0766 | + | 16.0072i | −0.580751 | + | 0.710905i | ||||
\(508\) | 9.86746 | + | 1.73990i | 0.437798 | + | 0.0771956i | ||||
\(509\) | 4.61747 | + | 26.1870i | 0.204666 | + | 1.16072i | 0.897965 | + | 0.440067i | \(0.145045\pi\) |
−0.693299 | + | 0.720650i | \(0.743844\pi\) | |||||||
\(510\) | −0.106894 | − | 8.12233i | −0.00473333 | − | 0.359663i | ||||
\(511\) | −6.34600 | − | 5.32493i | −0.280731 | − | 0.235561i | ||||
\(512\) | 8.75937 | 0.387113 | ||||||||
\(513\) | −4.79939 | + | 22.1352i | −0.211898 | + | 0.977292i | ||||
\(514\) | −23.4626 | −1.03489 | ||||||||
\(515\) | −4.49809 | − | 3.77435i | −0.198210 | − | 0.166318i | ||||
\(516\) | 0.138566 | + | 10.5290i | 0.00610004 | + | 0.463513i | ||||
\(517\) | −5.33924 | − | 30.2803i | −0.234819 | − | 1.33173i | ||||
\(518\) | −0.993508 | − | 0.175182i | −0.0436522 | − | 0.00769706i | ||||
\(519\) | 17.1609 | − | 21.0069i | 0.753282 | − | 0.922102i | ||||
\(520\) | −5.90635 | − | 10.2301i | −0.259011 | − | 0.448620i | ||||
\(521\) | 22.0694 | − | 38.2253i | 0.966878 | − | 1.67468i | 0.262396 | − | 0.964960i | \(-0.415487\pi\) |
0.704482 | − | 0.709722i | \(-0.251179\pi\) | |||||||
\(522\) | −12.6743 | + | 0.333656i | −0.554737 | + | 0.0146037i | ||||
\(523\) | −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 | ||||
\(525\) | 15.7055 | − | 2.98291i | 0.685442 | − | 0.130185i | ||||
\(526\) | 4.63668 | − | 12.7392i | 0.202169 | − | 0.555454i | ||||
\(527\) | 1.07097 | − | 6.07376i | 0.0466521 | − | 0.264577i | ||||
\(528\) | 0.872725 | − | 5.36109i | 0.0379805 | − | 0.233311i | ||||
\(529\) | −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 | ||||||
\(534\) | −11.6613 | + | 6.93886i | −0.504635 | + | 0.300274i | ||||
\(535\) | 14.3173 | + | 39.3366i | 0.618992 | + | 1.70067i | ||||
\(536\) | −4.18182 | + | 0.737368i | −0.180627 | + | 0.0318495i | ||||
\(537\) | 19.5718 | + | 10.9589i | 0.844584 | + | 0.472912i | ||||
\(538\) | 18.9103 | + | 6.88280i | 0.815282 | + | 0.296738i | ||||
\(539\) | −21.0855 | + | 12.1737i | −0.908218 | + | 0.524360i | ||||
\(540\) | −21.0342 | + | 0.830842i | −0.905167 | + | 0.0357537i | ||||
\(541\) | −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 | ||||
\(543\) | −5.19252 | + | 4.47480i | −0.222833 | + | 0.192032i | ||||
\(544\) | 5.60958 | − | 3.23869i | 0.240509 | − | 0.138858i | ||||
\(545\) | −49.7527 | − | 18.1085i | −2.13117 | − | 0.775682i | ||||
\(546\) | 0.799593 | − | 1.42801i | 0.0342194 | − | 0.0611131i | ||||
\(547\) | 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 | ||||
\(549\) | −2.55116 | − | 12.5304i | −0.108881 | − | 0.534784i | ||||
\(550\) | 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 | ||||
\(555\) | −7.25610 | − | 1.18121i | −0.308004 | − | 0.0501396i | ||||
\(556\) | 1.29149 | − | 7.32441i | 0.0547714 | − | 0.310624i | ||||
\(557\) | 9.69201 | − | 26.6286i | 0.410664 | − | 1.12829i | −0.546175 | − | 0.837671i | \(-0.683917\pi\) |
0.956839 | − | 0.290619i | \(-0.0938611\pi\) | |||||||
\(558\) | 14.2345 | + | 2.12533i | 0.602595 | + | 0.0899725i | ||||
\(559\) | −5.16659 | − | 2.98293i | −0.218524 | − | 0.126165i | ||||
\(560\) | −1.83232 | − | 2.18368i | −0.0774298 | − | 0.0922772i | ||||
\(561\) | −3.05751 | − | 8.06846i | −0.129088 | − | 0.340651i | ||||
\(562\) | 9.14302 | − | 15.8362i | 0.385675 | − | 0.668009i | ||||
\(563\) | 7.48478 | + | 12.9640i | 0.315446 | + | 0.546368i | 0.979532 | − | 0.201288i | \(-0.0645126\pi\) |
−0.664086 | + | 0.747656i | \(0.731179\pi\) | |||||||
\(564\) | 10.9037 | + | 8.90740i | 0.459127 | + | 0.375069i | ||||
\(565\) | 36.7698 | + | 6.48350i | 1.54692 | + | 0.272763i | ||||
\(566\) | 1.86070 | + | 10.5525i | 0.0782109 | + | 0.443556i | ||||
\(567\) | −4.60926 | − | 7.09331i | −0.193571 | − | 0.297891i | ||||
\(568\) | −5.74374 | − | 4.81957i | −0.241002 | − | 0.202225i | ||||
\(569\) | 32.6749 | 1.36980 | 0.684901 | − | 0.728636i | \(-0.259845\pi\) | ||||
0.684901 | + | 0.728636i | \(0.259845\pi\) | |||||||
\(570\) | −25.3732 | + | 12.5173i | −1.06277 | + | 0.524292i | ||||
\(571\) | 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 | ||||
\(573\) | 27.5180 | − | 0.362149i | 1.14958 | − | 0.0151290i | ||||
\(574\) | −0.346229 | − | 1.96356i | −0.0144513 | − | 0.0819575i | ||||
\(575\) | 4.69297 | + | 0.827498i | 0.195711 | + | 0.0345091i | ||||
\(576\) | 10.3700 | + | 16.9170i | 0.432083 | + | 0.704875i | ||||
\(577\) | −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 | ||||
\(579\) | 25.5392 | − | 9.67798i | 1.06137 | − | 0.402203i | ||||
\(580\) | 11.3052 | + | 13.4731i | 0.469425 | + | 0.559438i | ||||
\(581\) | −3.44690 | − | 1.99007i | −0.143001 | − | 0.0825618i | ||||
\(582\) | 3.38466 | + | 17.8207i | 0.140299 | + | 0.738693i | ||||
\(583\) | −10.5121 | + | 28.8818i | −0.435367 | + | 1.19616i | ||||
\(584\) | −4.54758 | + | 25.7906i | −0.188180 | + | 1.06722i | ||||
\(585\) | 5.68938 | − | 10.4820i | 0.235227 | − | 0.433378i | ||||
\(586\) | 20.9497 | − | 7.62507i | 0.865424 | − | 0.314989i | ||||
\(587\) | −11.5736 | + | 13.7929i | −0.477695 | + | 0.569295i | −0.950044 | − | 0.312117i | \(-0.898962\pi\) |
0.472349 | + | 0.881412i | \(0.343406\pi\) | |||||||
\(588\) | 3.67495 | − | 10.5258i | 0.151552 | − | 0.434076i | ||||
\(589\) | −20.6998 | + | 5.74227i | −0.852919 | + | 0.236606i | ||||
\(590\) | − | 25.7380i | − | 1.05962i | ||||||
\(591\) | −3.68626 | − | 6.19507i | −0.151633 | − | 0.254831i | ||||
\(592\) | 0.297084 | + | 0.816233i | 0.0122101 | + | 0.0335470i | ||||
\(593\) | 22.7215 | − | 4.00642i | 0.933062 | − | 0.164524i | 0.313604 | − | 0.949554i | \(-0.398464\pi\) |
0.619458 | + | 0.785030i | \(0.287352\pi\) | |||||||
\(594\) | 18.6342 | − | 7.62799i | 0.764569 | − | 0.312980i | ||||
\(595\) | −4.25516 | − | 1.54875i | −0.174445 | − | 0.0634926i | ||||
\(596\) | 5.39434 | − | 3.11443i | 0.220961 | − | 0.127572i | ||||
\(597\) | 25.1644 | + | 29.2006i | 1.02991 | + | 1.19510i | ||||
\(598\) | 0.373728 | − | 0.313595i | 0.0152829 | − | 0.0128239i | ||||
\(599\) | 16.7485 | − | 14.0536i | 0.684323 | − | 0.574216i | −0.232943 | − | 0.972490i | \(-0.574835\pi\) |
0.917266 | + | 0.398275i | \(0.130391\pi\) | |||||||
\(600\) | −32.9912 | − | 38.2827i | −1.34686 | − | 1.56289i | ||||
\(601\) | 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 | ||||
\(603\) | −2.84126 | − | 3.21056i | −0.115705 | − | 0.130744i | ||||
\(604\) | −16.8095 | + | 2.96397i | −0.683969 | + | 0.120602i | ||||
\(605\) | 6.37936 | + | 17.5271i | 0.259358 | + | 0.712580i | ||||
\(606\) | −15.0930 | − | 25.3650i | −0.613110 | − | 1.03038i | ||||
\(607\) | 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 | ||||
\(612\) | 3.47245 | + | 1.88476i | 0.140366 | + | 0.0761870i | ||||
\(613\) | −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 | ||||
\(615\) | −2.71113 | − | 14.2745i | −0.109323 | − | 0.575604i | ||||
\(616\) | −9.62786 | − | 5.55865i | −0.387918 | − | 0.223964i | ||||
\(617\) | −19.4518 | − | 23.1818i | −0.783102 | − | 0.933264i | 0.215967 | − | 0.976401i | \(-0.430710\pi\) |
−0.999069 | + | 0.0431361i | \(0.986265\pi\) | |||||||
\(618\) | −2.40493 | + | 0.911337i | −0.0967404 | + | 0.0366594i | ||||
\(619\) | −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 | ||||
\(621\) | −0.535556 | − | 2.46414i | −0.0214911 | − | 0.0988824i | ||||
\(622\) | 6.85358 | + | 1.20847i | 0.274804 | + | 0.0484553i | ||||
\(623\) | 1.31356 | + | 7.44956i | 0.0526266 | + | 0.298460i | ||||
\(624\) | −1.40903 | + | 0.0185435i | −0.0564065 | + | 0.000742335i | ||||
\(625\) | 17.1025 | + | 14.3507i | 0.684100 | + | 0.574028i | ||||
\(626\) | −4.36982 | −0.174653 | ||||||||
\(627\) | −20.7788 | + | 21.7121i | −0.829824 | + | 0.867099i | ||||
\(628\) | 23.9598 | 0.956102 | ||||||||
\(629\) | 1.05701 | + | 0.886934i | 0.0421456 | + | 0.0353644i | ||||
\(630\) | 3.35158 | − | 10.0215i | 0.133530 | − | 0.399264i | ||||
\(631\) | 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 | ||||
\(633\) | 24.6486 | + | 20.1359i | 0.979693 | + | 0.800329i | ||||
\(634\) | −5.38990 | − | 9.33558i | −0.214060 | − | 0.370763i | ||||
\(635\) | −18.3264 | + | 31.7422i | −0.727260 | + | 1.25965i | ||||
\(636\) | −4.98719 | − | 13.1607i | −0.197755 | − | 0.521855i | ||||
\(637\) | 4.06021 | + | 4.83876i | 0.160871 | + | 0.191719i | ||||
\(638\) | −14.5690 | − | 8.41143i | −0.576793 | − | 0.333012i | ||||
\(639\) | 1.11790 | − | 7.48716i | 0.0442233 | − | 0.296188i | ||||
\(640\) | 5.15207 | − | 14.1552i | 0.203654 | − | 0.559534i | ||||
\(641\) | −6.23658 | + | 35.3694i | −0.246330 | + | 1.39701i | 0.571054 | + | 0.820913i | \(0.306535\pi\) |
−0.817384 | + | 0.576094i | \(0.804576\pi\) | |||||||
\(642\) | 18.0965 | + | 2.94591i | 0.714214 | + | 0.116266i | ||||
\(643\) | −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 | \(-0.891566\pi\) | ||
0.942536 | − | 0.334106i | \(-0.108434\pi\) | |||||||
\(648\) | −12.1341 | + | 23.8310i | −0.476674 | + | 0.936170i | ||||
\(649\) | −9.35052 | − | 25.6903i | −0.367040 | − | 1.00843i | ||||
\(650\) | 9.72163 | − | 1.71419i | 0.381314 | − | 0.0672359i | ||||
\(651\) | 3.91977 | − | 7.00039i | 0.153628 | − | 0.274367i | ||||
\(652\) | 3.48143 | + | 1.26714i | 0.136343 | + | 0.0496249i | ||||
\(653\) | −4.58433 | + | 2.64676i | −0.179399 | + | 0.103576i | −0.587010 | − | 0.809580i | \(-0.699695\pi\) |
0.407611 | + | 0.913155i | \(0.366362\pi\) | |||||||
\(654\) | −17.5667 | + | 15.1385i | −0.686910 | + | 0.591963i | ||||
\(655\) | −49.5324 | + | 41.5626i | −1.93539 | + | 1.62399i | ||||
\(656\) | −1.31509 | + | 1.10349i | −0.0513457 | + | 0.0430841i | ||||
\(657\) | −24.5996 | + | 9.69400i | −0.959722 | + | 0.378199i | ||||
\(658\) | −6.12078 | + | 3.53383i | −0.238613 | + | 0.137763i | ||||
\(659\) | 24.0269 | + | 8.74509i | 0.935956 | + | 0.340660i | 0.764568 | − | 0.644543i | \(-0.222952\pi\) |
0.171388 | + | 0.985204i | \(0.445175\pi\) | |||||||
\(660\) | −24.3709 | − | 13.6461i | −0.948636 | − | 0.531175i | ||||
\(661\) | −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 | ||||
\(663\) | −1.92369 | + | 1.14466i | −0.0747099 | + | 0.0444548i | ||||
\(664\) | 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 | ||||
\(669\) | 7.08523 | − | 43.5241i | 0.273931 | − | 1.68274i | ||||
\(670\) | 0.929964 | − | 5.27409i | 0.0359276 | − | 0.203756i | ||||
\(671\) | 5.80314 | − | 15.9440i | 0.224028 | − | 0.615511i | ||||
\(672\) | 8.27827 | − | 1.57228i | 0.319341 | − | 0.0606519i | ||||
\(673\) | 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 | ||||
\(675\) | 15.5452 | − | 48.5982i | 0.598334 | − | 1.87054i | ||||
\(676\) | 6.27919 | − | 10.8759i | 0.241507 | − | 0.418303i | ||||
\(677\) | −4.46701 | − | 7.73710i | −0.171681 | − | 0.297361i | 0.767326 | − | 0.641257i | \(-0.221587\pi\) |
−0.939008 | + | 0.343896i | \(0.888253\pi\) | |||||||
\(678\) | 10.3459 | − | 12.6646i | 0.397332 | − | 0.486380i | ||||
\(679\) | 9.95826 | + | 1.75591i | 0.382163 | + | 0.0673857i | ||||
\(680\) | 2.48579 | + | 14.0976i | 0.0953256 | + | 0.540618i | ||||
\(681\) | −0.183072 | − | 13.9108i | −0.00701535 | − | 0.533063i | ||||
\(682\) | 14.6289 | + | 12.2751i | 0.560169 | + | 0.470038i | ||||
\(683\) | 44.5537 | 1.70480 | 0.852400 | − | 0.522890i | \(-0.175146\pi\) | ||||
0.852400 | + | 0.522890i | \(0.175146\pi\) | |||||||
\(684\) | 0.717246 | − | 13.7427i | 0.0274246 | − | 0.525465i | ||||
\(685\) | −82.3691 | −3.14716 | ||||||||
\(686\) | 9.19366 | + | 7.71440i | 0.351015 | + | 0.294537i | ||||
\(687\) | −0.121816 | − | 9.25618i | −0.00464755 | − | 0.353145i | ||||
\(688\) | 0.790301 | + | 4.48202i | 0.0301300 | + | 0.170875i | ||||
\(689\) | 7.85265 | + | 1.38463i | 0.299162 | + | 0.0527504i | ||||
\(690\) | 1.99283 | − | 2.43944i | 0.0758656 | − | 0.0928680i | ||||
\(691\) | −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 | ||||
\(693\) | −0.295385 | − | 11.2205i | −0.0112208 | − | 0.426232i | ||||
\(694\) | −12.9785 | − | 15.4672i | −0.492656 | − | 0.587125i | ||||
\(695\) | 23.5616 | + | 13.6033i | 0.893742 | + | 0.516002i | ||||
\(696\) | 21.9509 | − | 4.16910i | 0.832048 | − | 0.158029i | ||||
\(697\) | −0.932715 | + | 2.56261i | −0.0353291 | + | 0.0970659i | ||||
\(698\) | −1.34755 | + | 7.64234i | −0.0510055 | + | 0.289267i | ||||
\(699\) | 1.24713 | − | 7.66102i | 0.0471707 | − | 0.289766i | ||||
\(700\) | −9.12716 | + | 3.32201i | −0.344974 | + | 0.125560i | ||||
\(701\) | −10.2378 | + | 12.2010i | −0.386677 | + | 0.460824i | −0.923910 | − | 0.382610i | \(-0.875025\pi\) |
0.537233 | + | 0.843434i | \(0.319470\pi\) | |||||||
\(702\) | −2.78836 | − | 4.41724i | −0.105240 | − | 0.166718i | ||||
\(703\) | 1.20296 | − | 4.65299i | 0.0453706 | − | 0.175491i | ||||
\(704\) | 26.3282i | 0.992282i | ||||||||
\(705\) | −44.2608 | + | 26.3366i | −1.66696 | + | 0.991894i | ||||
\(706\) | 7.71577 | + | 21.1989i | 0.290387 | + | 0.797831i | ||||
\(707\) | −16.2038 | + | 2.85717i | −0.609407 | + | 0.107455i | ||||
\(708\) | 10.9230 | + | 6.11617i | 0.410511 | + | 0.229860i | ||||
\(709\) | −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 | ||||
\(711\) | 4.82519 | + | 12.2445i | 0.180959 | + | 0.459203i | ||||
\(712\) | 18.3188 | − | 15.3713i | 0.686526 | − | 0.576063i | ||||
\(713\) | 1.83209 | − | 1.53731i | 0.0686123 | − | 0.0575726i | ||||
\(714\) | −1.50241 | + | 1.29474i | −0.0562263 | + | 0.0484545i | ||||
\(715\) | 13.7047 | − | 7.91244i | 0.512529 | − | 0.295908i | ||||
\(716\) | −12.8068 | − | 4.66128i | −0.478611 | − | 0.174200i | ||||
\(717\) | 6.58764 | − | 11.7650i | 0.246020 | − | 0.439372i | ||||
\(718\) | −7.41780 | + | 1.30796i | −0.276830 | + | 0.0488126i | ||||
\(719\) | −16.7833 | − | 46.1117i | −0.625911 | − | 1.71968i | −0.692034 | − | 0.721865i | \(-0.743285\pi\) |
0.0661225 | − | 0.997812i | \(-0.478937\pi\) | |||||||
\(720\) | −8.91543 | + | 1.81516i | −0.332259 | + | 0.0676470i | ||||
\(721\) | 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 | ||||
\(726\) | 8.06325 | + | 1.31261i | 0.299255 | + | 0.0487154i | ||||
\(727\) | 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 | ||||
\(729\) | −26.9159 | + | 2.12966i | −0.996884 | + | 0.0788762i | ||||
\(730\) | −28.6037 | − | 16.5144i | −1.05867 | − | 0.611224i | ||||
\(731\) | 4.64714 | + | 5.53824i | 0.171881 | + | 0.204839i | ||||
\(732\) | 2.75314 | + | 7.26527i | 0.101759 | + | 0.268532i | ||||
\(733\) | −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 | ||||
\(735\) | 31.5842 | + | 25.8017i | 1.16500 | + | 0.951710i | ||||
\(736\) | 2.47365 | + | 0.436170i | 0.0911798 | + | 0.0160775i | ||||
\(737\) | −0.987815 | − | 5.60217i | −0.0363866 | − | 0.206359i | ||||
\(738\) | −6.03528 | − | 2.01844i | −0.222162 | − | 0.0742999i | ||||
\(739\) | −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 | ||||||||
\(741\) | 6.48337 | + | 4.33068i | 0.238173 | + | 0.159091i | ||||
\(742\) | 7.06489 | 0.259360 | ||||||||
\(743\) | −26.3387 | − | 22.1008i | −0.966272 | − | 0.810799i | 0.0156896 | − | 0.999877i | \(-0.495006\pi\) |
−0.981962 | + | 0.189078i | \(0.939450\pi\) | |||||||
\(744\) | −25.3611 | + | 0.333763i | −0.929783 | + | 0.0122364i | ||||
\(745\) | 3.95668 | + | 22.4394i | 0.144961 | + | 0.822117i | ||||
\(746\) | −14.0692 | − | 2.48077i | −0.515108 | − | 0.0908275i | ||||
\(747\) | −10.8306 | + | 6.63910i | −0.396272 | + | 0.242912i | ||||
\(748\) | 2.62121 | + | 4.54007i | 0.0958410 | + | 0.166001i | ||||
\(749\) | 5.11042 | − | 8.85151i | 0.186731 | − | 0.323427i | ||||
\(750\) | 29.2529 | − | 11.0853i | 1.06816 | − | 0.404776i | ||||
\(751\) | 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 | ||||
\(753\) | 2.83067 | + | 14.9039i | 0.103155 | + | 0.543129i | ||||
\(754\) | −1.49272 | + | 4.10121i | −0.0543616 | + | 0.149357i | ||||
\(755\) | 10.8424 | − | 61.4905i | 0.394596 | − | 2.23787i | ||||
\(756\) | 3.45658 | + | 3.80380i | 0.125715 | + | 0.138343i | ||||
\(757\) | 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 | \(-0.808832\pi\) | ||
0.825012 | − | 0.565116i | \(-0.191168\pi\) | |||||||
\(762\) | 8.20903 | + | 13.7960i | 0.297382 | + | 0.499775i | ||||
\(763\) | 4.42139 | + | 12.1477i | 0.160065 | + | 0.439775i | ||||
\(764\) | −16.4668 | + | 2.90355i | −0.595749 | + | 0.105047i | ||||
\(765\) | −10.8233 | + | 9.57835i | −0.391318 | + | 0.346306i | ||||
\(766\) | 0.764288 | + | 0.278178i | 0.0276149 | + | 0.0100510i | ||||
\(767\) | −6.14244 | + | 3.54634i | −0.221791 | + | 0.128051i | ||||
\(768\) | −19.2644 | − | 22.3542i | −0.695143 | − | 0.806639i | ||||
\(769\) | −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 | ||||
\(771\) | 27.2524 | + | 31.6235i | 0.981470 | + | 1.13889i | ||||
\(772\) | −14.3708 | + | 8.29696i | −0.517215 | + | 0.298614i | ||||
\(773\) | 40.7594 | + | 14.8352i | 1.46601 | + | 0.533585i | 0.947015 | − | 0.321190i | \(-0.104083\pi\) |
0.518998 | + | 0.854775i | \(0.326305\pi\) | |||||||
\(774\) | −12.6341 | + | 11.1808i | −0.454123 | + | 0.401887i | ||||
\(775\) | 47.6574 | − | 8.40329i | 1.71190 | − | 0.301855i | ||||
\(776\) | −10.9332 | − | 30.0387i | −0.392479 | − | 1.07833i | ||||
\(777\) | 0.917867 | + | 1.54255i | 0.0329283 | + | 0.0553387i | ||||
\(778\) | 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 | ||||
\(783\) | 15.1711 | + | 16.6951i | 0.542172 | + | 0.596634i | ||||
\(784\) | 0.836757 | − | 4.74549i | 0.0298842 | − | 0.169482i | ||||
\(785\) | −29.9770 | + | 82.3611i | −1.06992 | + | 2.93959i | ||||
\(786\) | 5.28438 | + | 27.8230i | 0.188488 | + | 0.992415i | ||||
\(787\) | 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 | ||||
\(789\) | −22.5558 | + | 8.54741i | −0.803007 | + | 0.304296i | ||||
\(790\) | −8.22003 | + | 14.2375i | −0.292455 | + | 0.506548i | ||||
\(791\) | −4.55812 | − | 7.89490i | −0.162068 | − | 0.280710i | ||||
\(792\) | −30.2521 | + | 18.5443i | −1.07496 | + | 0.658944i | ||||
\(793\) | −4.33500 | − | 0.764378i | −0.153940 | − | 0.0271439i | ||||
\(794\) | −4.19511 | − | 23.7917i | −0.148879 | − | 0.844334i | ||||
\(795\) | 51.4791 | − | 0.677488i | 1.82577 | − | 0.0240280i | ||||
\(796\) | −17.9414 | − | 15.0546i | −0.635916 | − | 0.533597i | ||||
\(797\) | −3.78719 | −0.134149 | −0.0670746 | − | 0.997748i | \(-0.521367\pi\) | ||||
−0.0670746 | + | 0.997748i | \(0.521367\pi\) | |||||||
\(798\) | 6.32338 | + | 2.78125i | 0.223845 | + | 0.0984552i | ||||
\(799\) | 9.66674 | 0.341985 | ||||||||
\(800\) | 38.9337 | + | 32.6693i | 1.37651 | + | 1.15503i | ||||
\(801\) | 22.8973 | + | 7.65777i | 0.809035 | + | 0.270574i | ||||
\(802\) | −3.97693 | − | 22.5543i | −0.140430 | − | 0.796419i | ||||
\(803\) | −34.5503 | − | 6.09216i | −1.21926 | − | 0.214988i | ||||
\(804\) | 2.01729 | + | 1.64796i | 0.0711443 | + | 0.0581191i | ||||
\(805\) | −0.877984 | − | 1.52071i | −0.0309449 | − | 0.0535981i | ||||
\(806\) | 2.47716 | − | 4.29056i | 0.0872542 | − | 0.151129i | ||||
\(807\) | −12.6880 | − | 33.4823i | −0.446638 | − | 1.17863i | ||||
\(808\) | 33.4347 | + | 39.8459i | 1.17623 | + | 1.40177i | ||||
\(809\) | −9.92215 | − | 5.72856i | −0.348844 | − | 0.201405i | 0.315332 | − | 0.948981i | \(-0.397884\pi\) |
−0.664176 | + | 0.747576i | \(0.731217\pi\) | |||||||
\(810\) | −23.0088 | − | 24.6602i | −0.808448 | − | 0.866470i | ||||
\(811\) | 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 | ||||
\(813\) | 7.16255 | + | 1.16598i | 0.251202 | + | 0.0408928i | ||||
\(814\) | −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 | ||||||||
\(819\) | −2.85345 | + | 0.580955i | −0.0997076 | + | 0.0203002i | ||||
\(820\) | 3.01934 | + | 8.29557i | 0.105440 | + | 0.289694i | ||||
\(821\) | 34.6702 | − | 6.11330i | 1.21000 | − | 0.213356i | 0.467983 | − | 0.883737i | \(-0.344981\pi\) |
0.742016 | + | 0.670382i | \(0.233870\pi\) | |||||||
\(822\) | −17.6257 | + | 31.4782i | −0.614768 | + | 1.09793i | ||||
\(823\) | −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 | ||||
\(825\) | 51.2854 | − | 44.1966i | 1.78553 | − | 1.53873i | ||||
\(826\) | −4.81399 | + | 4.03941i | −0.167500 | + | 0.140549i | ||||
\(827\) | −36.3149 | + | 30.4719i | −1.26279 | + | 1.05961i | −0.267416 | + | 0.963581i | \(0.586170\pi\) |
−0.995379 | + | 0.0960290i | \(0.969386\pi\) | |||||||
\(828\) | 0.561721 | + | 1.42543i | 0.0195212 | + | 0.0495371i | ||||
\(829\) | −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 | ||||
\(831\) | −7.83701 | − | 4.38822i | −0.271863 | − | 0.152226i | ||||
\(832\) | 6.72666 | − | 1.18609i | 0.233205 | − | 0.0411203i | ||||
\(833\) | −2.61804 | − | 7.19301i | −0.0907097 | − | 0.249223i | ||||
\(834\) | 10.2405 | − | 6.09339i | 0.354598 | − | 0.210997i | ||||
\(835\) | − | 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 | −0.310653 | − | 0.950523i | \(-0.600548\pi\) |
0.373010 | + | 0.927827i | \(0.378326\pi\) | |||||||
\(840\) | −2.99209 | + | 18.3802i | −0.103237 | + | 0.634176i | ||||
\(841\) | −1.76291 | + | 9.99798i | −0.0607901 | + | 0.344758i | ||||
\(842\) | −2.46232 | + | 6.76518i | −0.0848573 | + | 0.233143i | ||||
\(843\) | −31.9642 | + | 6.07090i | −1.10091 | + | 0.209093i | ||||
\(844\) | −16.7471 | − | 9.66896i | −0.576460 | − | 0.332819i | ||||
\(845\) | 29.5293 | + | 35.1917i | 1.01584 | + | 1.21063i | ||||
\(846\) | 0.593648 | + | 22.5503i | 0.0204101 | + | 0.775297i | ||||
\(847\) | 2.27704 | − | 3.94396i | 0.0782402 | − | 0.135516i | ||||
\(848\) | −3.04147 | − | 5.26798i | −0.104445 | − | 0.180903i | ||||
\(849\) | 12.0617 | − | 14.7649i | 0.413957 | − | 0.506730i | ||||
\(850\) | −11.7810 | − | 2.07731i | −0.404086 | − | 0.0712512i | ||||
\(851\) | 0.0929138 | + | 0.526940i | 0.00318504 | + | 0.0180633i | ||||
\(852\) | 0.0605261 | + | 4.59909i | 0.00207359 | + | 0.157562i | ||||
\(853\) | 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 | ||||||||
\(855\) | 46.3427 | + | 19.6595i | 1.58489 | + | 0.672340i | ||||
\(856\) | −32.3110 | −1.10437 | ||||||||
\(857\) | 26.1095 | + | 21.9085i | 0.891884 | + | 0.748379i | 0.968587 | − | 0.248675i | \(-0.0799949\pi\) |
−0.0767032 | + | 0.997054i | \(0.524439\pi\) | |||||||
\(858\) | −0.0912091 | − | 6.93055i | −0.00311383 | − | 0.236605i | ||||
\(859\) | −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 | ||||
\(861\) | −2.24438 | + | 2.74738i | −0.0764884 | + | 0.0936304i | ||||
\(862\) | −10.9159 | − | 18.9068i | −0.371796 | − | 0.643970i | ||||
\(863\) | −5.52979 | + | 9.57787i | −0.188236 | + | 0.326035i | −0.944662 | − | 0.328045i | \(-0.893610\pi\) |
0.756426 | + | 0.654079i | \(0.226944\pi\) | |||||||
\(864\) | 8.19380 | − | 25.6159i | 0.278759 | − | 0.871469i | ||||
\(865\) | −38.7526 | − | 46.1836i | −1.31763 | − | 1.57029i | ||||
\(866\) | −4.25627 | − | 2.45736i | −0.144634 | − | 0.0835045i | ||||
\(867\) | −26.2627 | + | 4.98803i | −0.891928 | + | 0.169402i | ||||
\(868\) | −1.66724 | + | 4.58070i | −0.0565898 | + | 0.155479i | ||||
\(869\) | −3.03237 | + | 17.1974i | −0.102866 | + | 0.583383i | ||||
\(870\) | −4.52767 | + | 27.8131i | −0.153502 | + | 0.942954i | ||||
\(871\) | −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 | ||||||
\(876\) | 13.8057 | − | 8.21484i | 0.466452 | − | 0.277554i | ||||
\(877\) | −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 | ||||
\(879\) | −34.6108 | − | 19.3798i | −1.16739 | − | 0.653665i | ||||
\(880\) | −11.3442 | − | 4.12896i | −0.382414 | − | 0.139187i | ||||
\(881\) | 15.8937 | − | 9.17623i | 0.535472 | − | 0.309155i | −0.207770 | − | 0.978178i | \(-0.566620\pi\) |
0.743242 | + | 0.669023i | \(0.233287\pi\) | |||||||
\(882\) | 16.6189 | − | 6.54904i | 0.559588 | − | 0.220518i | ||||
\(883\) | 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 | ||||
\(885\) | −34.6903 | + | 29.8953i | −1.16610 | + | 1.00492i | ||||
\(886\) | 1.15006 | − | 0.663985i | 0.0386369 | − | 0.0223070i | ||||
\(887\) | 19.3286 | + | 7.03503i | 0.648991 | + | 0.236213i | 0.645476 | − | 0.763781i | \(-0.276659\pi\) |
0.00351460 | + | 0.999994i | \(0.498881\pi\) | |||||||
\(888\) | 2.77230 | − | 4.95112i | 0.0930324 | − | 0.166149i | ||||
\(889\) | 8.81321 | − | 1.55401i | 0.295586 | − | 0.0521197i | ||||
\(890\) | 10.3152 | + | 28.3407i | 0.345765 | + | 0.949981i | ||||
\(891\) | −31.9252 | − | 16.2555i | −1.06953 | − | 0.544579i | ||||
\(892\) | 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 | ||||
\(897\) | −0.856764 | − | 0.139472i | −0.0286065 | − | 0.00465682i | ||||
\(898\) | −4.24648 | + | 24.0830i | −0.141707 | + | 0.803659i | ||||
\(899\) | −7.31761 | + | 20.1050i | −0.244056 | + | 0.670538i | ||||
\(900\) | −4.57798 | + | 30.6612i | −0.152599 | + | 1.02204i | ||||
\(901\) | −8.36835 | − | 4.83147i | −0.278790 | − | 0.160960i | ||||
\(902\) | −5.42769 | − | 6.46847i | −0.180722 | − | 0.215377i | ||||
\(903\) | 3.33268 | + | 8.79460i | 0.110905 | + | 0.292666i | ||||
\(904\) | −14.4095 | + | 24.9580i | −0.479254 | + | 0.830091i | ||||
\(905\) | 7.61748 | + | 13.1939i | 0.253214 | + | 0.438579i | ||||
\(906\) | −21.1791 | − | 17.3016i | −0.703627 | − | 0.574806i | ||||
\(907\) | −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 | ||||
\(909\) | −16.6567 | + | 49.8047i | −0.552467 | + | 1.65192i | ||||
\(910\) | −2.78651 | − | 2.33816i | −0.0923720 | − | 0.0775093i | ||||
\(911\) | −50.6401 | −1.67778 | −0.838891 | − | 0.544299i | \(-0.816796\pi\) | ||||
−0.838891 | + | 0.544299i | \(0.816796\pi\) | |||||||
\(912\) | −0.648391 | − | 5.91242i | −0.0214704 | − | 0.195780i | ||||
\(913\) | −16.8559 | −0.557849 | ||||||||
\(914\) | −13.7319 | − | 11.5224i | −0.454211 | − | 0.381128i | ||||
\(915\) | −28.4187 | + | 0.374002i | −0.939492 | + | 0.0123641i | ||||
\(916\) | 0.976661 | + | 5.53892i | 0.0322698 | + | 0.183011i | ||||
\(917\) | 15.5476 | + | 2.74146i | 0.513426 | + | 0.0905309i | ||||
\(918\) | 1.34444 | + | 6.18586i | 0.0443730 | + | 0.204164i | ||||
\(919\) | 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 | ||||
\(921\) | −34.8204 | + | 13.1950i | −1.14737 | + | 0.434792i | ||||
\(922\) | 15.4245 | + | 18.3822i | 0.507980 | + | 0.605387i | ||||
\(923\) | −2.25678 | − | 1.30295i | −0.0742828 | − | 0.0428872i | ||||
\(924\) | 1.27251 | + | 6.69996i | 0.0418626 | + | 0.220413i | ||||
\(925\) | −3.70295 | + | 10.1738i | −0.121752 | + | 0.334511i | ||||
\(926\) | −0.861001 | + | 4.88298i | −0.0282943 | + | 0.160465i | ||||
\(927\) | 4.02170 | + | 2.18288i | 0.132090 | + | 0.0716951i | ||||
\(928\) | −21.1153 | + | 7.68533i | −0.693143 | + | 0.252283i | ||||
\(929\) | 7.33625 | − | 8.74300i | 0.240695 | − | 0.286849i | −0.632151 | − | 0.774845i | \(-0.717828\pi\) |
0.872845 | + | 0.487997i | \(0.162272\pi\) | |||||||
\(930\) | 10.5440 | − | 30.2003i | 0.345753 | − | 0.990305i | ||||
\(931\) | −18.6857 | + | 19.0177i | −0.612401 | + | 0.623279i | ||||
\(932\) | 4.71596i | 0.154476i | ||||||||
\(933\) | −6.33179 | − | 10.6411i | −0.207293 | − | 0.348374i | ||||
\(934\) | −0.980535 | − | 2.69400i | −0.0320841 | − | 0.0881503i | ||||
\(935\) | −18.8858 | + | 3.33008i | −0.617633 | + | 0.108905i | ||||
\(936\) | 6.10079 | + | 6.89376i | 0.199411 | + | 0.225329i | ||||
\(937\) | −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 | ||||
\(939\) | 5.07565 | + | 5.88975i | 0.165638 | + | 0.192205i | ||||
\(940\) | 23.9716 | − | 20.1146i | 0.781868 | − | 0.656065i | ||||
\(941\) | 2.17650 | − | 1.82630i | 0.0709518 | − | 0.0595356i | −0.606622 | − | 0.794990i | \(-0.707476\pi\) |
0.677574 | + | 0.735455i | \(0.263031\pi\) | |||||||
\(942\) | 25.0605 | + | 29.0800i | 0.816515 | + | 0.947479i | ||||
\(943\) | −0.915829 | + | 0.528754i | −0.0298235 | + | 0.0172186i | ||||
\(944\) | 5.08446 | + | 1.85059i | 0.165485 | + | 0.0602317i | ||||
\(945\) | −17.4001 | + | 7.12281i | −0.566025 | + | 0.231705i | ||||
\(946\) | −22.0455 | + | 3.88722i | −0.716761 | + | 0.126384i | ||||
\(947\) | −10.4821 | − | 28.7992i | −0.340621 | − | 0.935848i | −0.985215 | − | 0.171323i | \(-0.945196\pi\) |
0.644594 | − | 0.764525i | \(-0.277026\pi\) | |||||||
\(948\) | −4.08894 | − | 6.87180i | −0.132803 | − | 0.223186i | ||||
\(949\) | 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 | −0.250158 | − | 0.968205i | \(-0.580483\pi\) |
0.430718 | + | 0.902486i | \(0.358260\pi\) | |||||||
\(954\) | 10.7568 | − | 19.8182i | 0.348265 | − | 0.641638i | ||||
\(955\) | 10.6214 | − | 60.2369i | 0.343700 | − | 1.94922i | ||||
\(956\) | −2.80199 | + | 7.69842i | −0.0906230 | + | 0.248985i | ||||
\(957\) | 5.58513 | + | 29.4065i | 0.180542 | + | 0.950578i | ||||
\(958\) | 31.9668 | + | 18.4561i | 1.03280 | + | 0.596288i | ||||
\(959\) | 12.9273 | + | 15.4062i | 0.417444 | + | 0.497491i | ||||
\(960\) | 41.2396 | − | 15.6276i | 1.33100 | − | 0.504377i | ||||
\(961\) | −3.35647 | + | 5.81357i | −0.108273 | + | 0.187534i | ||||
\(962\) | 0.554205 | + | 0.959912i | 0.0178683 | + | 0.0309488i | ||||
\(963\) | −17.0490 | − | 27.8127i | −0.549396 | − | 0.896252i | ||||
\(964\) | −17.9122 | − | 3.15840i | −0.576912 | − | 0.101725i | ||||
\(965\) | −10.5408 | − | 59.7796i | −0.339319 | − | 1.92437i | ||||
\(966\) | −0.769031 | + | 0.0101208i | −0.0247432 | + | 0.000325631i | ||||
\(967\) | 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 | ||||||||
\(969\) | −5.58802 | − | 7.61876i | −0.179513 | − | 0.244750i | ||||
\(970\) | 40.3160 | 1.29447 | ||||||||
\(971\) | −24.0894 | − | 20.2134i | −0.773065 | − | 0.648679i | 0.168427 | − | 0.985714i | \(-0.446131\pi\) |
−0.941492 | + | 0.337036i | \(0.890576\pi\) | |||||||
\(972\) | 15.9332 | − | 3.90472i | 0.511058 | − | 0.125244i | ||||
\(973\) | −1.15351 | − | 6.54187i | −0.0369798 | − | 0.209723i | ||||
\(974\) | 22.5189 | + | 3.97070i | 0.721554 | + | 0.127229i | ||||
\(975\) | −13.6023 | − | 11.1120i | −0.435623 | − | 0.355868i | ||||
\(976\) | 1.67902 | + | 2.90815i | 0.0537442 | + | 0.0930877i | ||||
\(977\) | −5.65819 | + | 9.80028i | −0.181022 | + | 0.313539i | −0.942229 | − | 0.334970i | \(-0.891274\pi\) |
0.761207 | + | 0.648509i | \(0.224607\pi\) | |||||||
\(978\) | 2.10343 | + | 5.55075i | 0.0672604 | + | 0.177494i | ||||
\(979\) | 20.5921 | + | 24.5407i | 0.658127 | + | 0.784326i | ||||
\(980\) | −21.4595 | − | 12.3896i | −0.685497 | − | 0.395772i | ||||
\(981\) | 40.8081 | + | 6.09300i | 1.30290 | + | 0.194534i | ||||
\(982\) | 0.187109 | − | 0.514078i | 0.00597089 | − | 0.0164049i | ||||
\(983\) | −2.53074 | + | 14.3526i | −0.0807181 | + | 0.457775i | 0.917481 | + | 0.397781i | \(0.130219\pi\) |
−0.998199 | + | 0.0599947i | \(0.980892\pi\) | |||||||
\(984\) | 11.0692 | + | 1.80194i | 0.352874 | + | 0.0574438i | ||||
\(985\) | −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 | ||||||||
\(990\) | −8.92815 | − | 43.8519i | −0.283755 | − | 1.39371i | ||||
\(991\) | 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 | ||||
\(993\) | 17.0651 | − | 30.4770i | 0.541546 | − | 0.967158i | ||||
\(994\) | −2.16962 | − | 0.789679i | −0.0688163 | − | 0.0250471i | ||||
\(995\) | 74.1969 | − | 42.8376i | 2.35220 | − | 1.35804i | ||||
\(996\) | 5.84686 | − | 5.03869i | 0.185265 | − | 0.159657i | ||||
\(997\) | 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 | ||||
\(999\) | 5.72464 | − | 0.226121i | 0.181120 | − | 0.00715415i |
(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.41.2 | yes | 24 | |
3.2 | odd | 2 | inner | 57.2.j.b.41.3 | yes | 24 | |
4.3 | odd | 2 | 912.2.cc.e.497.3 | 24 | |||
12.11 | even | 2 | 912.2.cc.e.497.2 | 24 | |||
19.5 | even | 9 | 1083.2.d.d.1082.10 | 24 | |||
19.13 | odd | 18 | inner | 57.2.j.b.32.3 | yes | 24 | |
19.14 | odd | 18 | 1083.2.d.d.1082.16 | 24 | |||
57.5 | odd | 18 | 1083.2.d.d.1082.15 | 24 | |||
57.14 | even | 18 | 1083.2.d.d.1082.9 | 24 | |||
57.32 | even | 18 | inner | 57.2.j.b.32.2 | ✓ | 24 | |
76.51 | even | 18 | 912.2.cc.e.545.2 | 24 | |||
228.203 | odd | 18 | 912.2.cc.e.545.3 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
57.2.j.b.32.2 | ✓ | 24 | 57.32 | even | 18 | inner | |
57.2.j.b.32.3 | yes | 24 | 19.13 | odd | 18 | inner | |
57.2.j.b.41.2 | yes | 24 | 1.1 | even | 1 | trivial | |
57.2.j.b.41.3 | yes | 24 | 3.2 | odd | 2 | inner | |
912.2.cc.e.497.2 | 24 | 12.11 | even | 2 | |||
912.2.cc.e.497.3 | 24 | 4.3 | odd | 2 | |||
912.2.cc.e.545.2 | 24 | 76.51 | even | 18 | |||
912.2.cc.e.545.3 | 24 | 228.203 | odd | 18 | |||
1083.2.d.d.1082.9 | 24 | 57.14 | even | 18 | |||
1083.2.d.d.1082.10 | 24 | 19.5 | even | 9 | |||
1083.2.d.d.1082.15 | 24 | 57.5 | odd | 18 | |||
1083.2.d.d.1082.16 | 24 | 19.14 | odd | 18 |