Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(25,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.p (of order \(26\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{26})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{26}]$ |
Embedding invariants
Embedding label | 64.4 | ||
Character | \(\chi\) | \(=\) | 507.64 |
Dual form | 507.2.p.b.103.4 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{26}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.61341 | − | 0.195904i | −1.14085 | − | 0.138525i | −0.471777 | − | 0.881718i | \(-0.656387\pi\) |
−0.669077 | + | 0.743193i | \(0.733310\pi\) | |||||||
\(3\) | 0.748511 | − | 0.663123i | 0.432153 | − | 0.382854i | ||||
\(4\) | 0.622835 | + | 0.153515i | 0.311417 | + | 0.0767575i | ||||
\(5\) | −1.54944 | − | 2.95221i | −0.692929 | − | 1.32027i | −0.936597 | − | 0.350408i | \(-0.886043\pi\) |
0.243668 | − | 0.969859i | \(-0.421649\pi\) | |||||||
\(6\) | −1.33756 | + | 0.923254i | −0.546058 | + | 0.376917i | ||||
\(7\) | −1.00058 | − | 0.379471i | −0.378185 | − | 0.143427i | 0.158185 | − | 0.987409i | \(-0.449436\pi\) |
−0.536370 | + | 0.843983i | \(0.680205\pi\) | |||||||
\(8\) | 2.06448 | + | 0.782953i | 0.729903 | + | 0.276816i | ||||
\(9\) | 0.120537 | − | 0.992709i | 0.0401789 | − | 0.330903i | ||||
\(10\) | 1.92153 | + | 5.06666i | 0.607642 | + | 1.60222i | ||||
\(11\) | 4.69529 | − | 0.570112i | 1.41568 | − | 0.171895i | 0.623331 | − | 0.781958i | \(-0.285779\pi\) |
0.792353 | + | 0.610063i | \(0.208856\pi\) | |||||||
\(12\) | 0.567998 | − | 0.298108i | 0.163967 | − | 0.0860564i | ||||
\(13\) | −1.22711 | − | 3.39031i | −0.340340 | − | 0.940302i | ||||
\(14\) | 1.54001 | + | 0.808261i | 0.411586 | + | 0.216017i | ||||
\(15\) | −3.11745 | − | 1.18229i | −0.804921 | − | 0.305266i | ||||
\(16\) | −4.31346 | − | 2.26388i | −1.07837 | − | 0.565970i | ||||
\(17\) | 2.33208 | − | 6.14919i | 0.565613 | − | 1.49140i | −0.281276 | − | 0.959627i | \(-0.590758\pi\) |
0.846888 | − | 0.531771i | \(-0.178473\pi\) | |||||||
\(18\) | −0.388951 | + | 1.57803i | −0.0916765 | + | 0.371946i | ||||
\(19\) | 6.34907i | 1.45658i | 0.685271 | + | 0.728288i | \(0.259684\pi\) | ||||
−0.685271 | + | 0.728288i | \(0.740316\pi\) | |||||||
\(20\) | −0.511836 | − | 2.07660i | −0.114450 | − | 0.464342i | ||||
\(21\) | −1.00058 | + | 0.379471i | −0.218345 | + | 0.0828074i | ||||
\(22\) | −7.68713 | −1.63890 | ||||||||
\(23\) | −8.59360 | −1.79189 | −0.895945 | − | 0.444166i | \(-0.853500\pi\) | ||||
−0.895945 | + | 0.444166i | \(0.853500\pi\) | |||||||
\(24\) | 2.06448 | − | 0.782953i | 0.421410 | − | 0.159820i | ||||
\(25\) | −3.47444 | + | 5.03360i | −0.694888 | + | 1.00672i | ||||
\(26\) | 1.31566 | + | 5.71036i | 0.258023 | + | 1.11989i | ||||
\(27\) | −0.568065 | − | 0.822984i | −0.109324 | − | 0.158383i | ||||
\(28\) | −0.564944 | − | 0.389953i | −0.106764 | − | 0.0736941i | ||||
\(29\) | 0.573975 | − | 4.72711i | 0.106584 | − | 0.877802i | −0.837122 | − | 0.547017i | \(-0.815763\pi\) |
0.943706 | − | 0.330785i | \(-0.107314\pi\) | |||||||
\(30\) | 4.79811 | + | 2.51824i | 0.876011 | + | 0.459766i | ||||
\(31\) | −7.82885 | + | 5.40386i | −1.40610 | + | 0.970563i | −0.407756 | + | 0.913091i | \(0.633688\pi\) |
−0.998347 | + | 0.0574715i | \(0.981696\pi\) | |||||||
\(32\) | 2.88166 | + | 1.98907i | 0.509410 | + | 0.351621i | ||||
\(33\) | 3.13642 | − | 3.54029i | 0.545981 | − | 0.616285i | ||||
\(34\) | −4.96725 | + | 9.46431i | −0.851877 | + | 1.62312i | ||||
\(35\) | 0.430064 | + | 3.54190i | 0.0726941 | + | 0.598690i | ||||
\(36\) | 0.227470 | − | 0.599789i | 0.0379117 | − | 0.0999649i | ||||
\(37\) | 2.46938 | − | 1.70449i | 0.405963 | − | 0.280216i | −0.347534 | − | 0.937667i | \(-0.612981\pi\) |
0.753497 | + | 0.657451i | \(0.228365\pi\) | |||||||
\(38\) | 1.24381 | − | 10.2437i | 0.201772 | − | 1.66174i | ||||
\(39\) | −3.16670 | − | 1.72396i | −0.507077 | − | 0.276054i | ||||
\(40\) | −0.887340 | − | 7.30790i | −0.140301 | − | 1.15548i | ||||
\(41\) | 4.53046 | + | 5.11383i | 0.707538 | + | 0.798646i | 0.986864 | − | 0.161551i | \(-0.0516495\pi\) |
−0.279326 | + | 0.960196i | \(0.590111\pi\) | |||||||
\(42\) | 1.68869 | − | 0.416225i | 0.260571 | − | 0.0642250i | ||||
\(43\) | −2.12214 | + | 3.07445i | −0.323623 | + | 0.468849i | −0.950702 | − | 0.310107i | \(-0.899635\pi\) |
0.627079 | + | 0.778956i | \(0.284250\pi\) | |||||||
\(44\) | 3.01191 | + | 0.365712i | 0.454063 | + | 0.0551332i | ||||
\(45\) | −3.11745 | + | 1.18229i | −0.464721 | + | 0.176246i | ||||
\(46\) | 13.8650 | + | 1.68352i | 2.04428 | + | 0.248221i | ||||
\(47\) | −0.586369 | − | 2.37899i | −0.0855306 | − | 0.347011i | 0.912548 | − | 0.408969i | \(-0.134112\pi\) |
−0.998079 | + | 0.0619579i | \(0.980266\pi\) | |||||||
\(48\) | −4.72990 | + | 1.16582i | −0.682703 | + | 0.168271i | ||||
\(49\) | −4.38241 | − | 3.88247i | −0.626058 | − | 0.554639i | ||||
\(50\) | 6.59181 | − | 7.44061i | 0.932222 | − | 1.05226i | ||||
\(51\) | −2.33208 | − | 6.14919i | −0.326557 | − | 0.861059i | ||||
\(52\) | −0.243826 | − | 2.29998i | −0.0338125 | − | 0.318950i | ||||
\(53\) | −2.26375 | + | 5.96901i | −0.310950 | + | 0.819907i | 0.684878 | + | 0.728657i | \(0.259855\pi\) |
−0.995828 | + | 0.0912495i | \(0.970914\pi\) | |||||||
\(54\) | 0.755297 | + | 1.43910i | 0.102783 | + | 0.195836i | ||||
\(55\) | −8.95815 | − | 12.9781i | −1.20792 | − | 1.74997i | ||||
\(56\) | −1.76857 | − | 1.56682i | −0.236336 | − | 0.209375i | ||||
\(57\) | 4.21021 | + | 4.75234i | 0.557656 | + | 0.629463i | ||||
\(58\) | −1.85212 | + | 7.51433i | −0.243195 | + | 0.986680i | ||||
\(59\) | 0.121083 | + | 0.230704i | 0.0157636 | + | 0.0300351i | 0.893210 | − | 0.449639i | \(-0.148447\pi\) |
−0.877447 | + | 0.479674i | \(0.840755\pi\) | |||||||
\(60\) | −1.76015 | − | 1.21495i | −0.227235 | − | 0.156849i | ||||
\(61\) | −1.03138 | − | 2.71952i | −0.132054 | − | 0.348199i | 0.852638 | − | 0.522503i | \(-0.175002\pi\) |
−0.984692 | + | 0.174304i | \(0.944232\pi\) | |||||||
\(62\) | 13.6898 | − | 7.18496i | 1.73861 | − | 0.912490i | ||||
\(63\) | −0.497312 | + | 0.947548i | −0.0626554 | + | 0.119380i | ||||
\(64\) | 3.03304 | + | 2.68704i | 0.379130 | + | 0.335880i | ||||
\(65\) | −8.10756 | + | 8.87576i | −1.00562 | + | 1.10090i | ||||
\(66\) | −5.75390 | + | 5.09751i | −0.708256 | + | 0.627460i | ||||
\(67\) | −0.568943 | − | 2.30829i | −0.0695075 | − | 0.282003i | 0.925895 | − | 0.377780i | \(-0.123312\pi\) |
−0.995403 | + | 0.0957773i | \(0.969466\pi\) | |||||||
\(68\) | 2.39649 | − | 3.47192i | 0.290618 | − | 0.421032i | ||||
\(69\) | −6.43240 | + | 5.69861i | −0.774370 | + | 0.686032i | ||||
\(70\) | − | 5.79879i | − | 0.693088i | ||||||
\(71\) | −6.72474 | − | 7.59066i | −0.798079 | − | 0.900845i | 0.198779 | − | 0.980044i | \(-0.436302\pi\) |
−0.996859 | + | 0.0791988i | \(0.974764\pi\) | |||||||
\(72\) | 1.02609 | − | 1.95505i | 0.120926 | − | 0.230405i | ||||
\(73\) | 6.68698 | − | 0.811946i | 0.782651 | − | 0.0950311i | 0.280550 | − | 0.959840i | \(-0.409483\pi\) |
0.502102 | + | 0.864808i | \(0.332560\pi\) | |||||||
\(74\) | −4.31804 | + | 2.26628i | −0.501962 | + | 0.263450i | ||||
\(75\) | 0.737236 | + | 6.07168i | 0.0851287 | + | 0.701098i | ||||
\(76\) | −0.974677 | + | 3.95442i | −0.111803 | + | 0.453603i | ||||
\(77\) | −4.91437 | − | 1.21128i | −0.560045 | − | 0.138039i | ||||
\(78\) | 4.77146 | + | 3.40182i | 0.540261 | + | 0.385180i | ||||
\(79\) | 1.37301 | − | 0.338416i | 0.154475 | − | 0.0380748i | −0.161320 | − | 0.986902i | \(-0.551575\pi\) |
0.315795 | + | 0.948827i | \(0.397729\pi\) | |||||||
\(80\) | 16.2420i | 1.81591i | ||||||||
\(81\) | −0.970942 | − | 0.239316i | −0.107882 | − | 0.0265906i | ||||
\(82\) | −6.30767 | − | 9.13824i | −0.696566 | − | 1.00915i | ||||
\(83\) | −7.84069 | + | 8.85031i | −0.860628 | + | 0.971448i | −0.999823 | − | 0.0188171i | \(-0.994010\pi\) |
0.139195 | + | 0.990265i | \(0.455548\pi\) | |||||||
\(84\) | −0.681453 | + | 0.0827434i | −0.0743526 | + | 0.00902804i | ||||
\(85\) | −21.7671 | + | 2.64300i | −2.36097 | + | 0.286674i | ||||
\(86\) | 4.02618 | − | 4.54461i | 0.434154 | − | 0.490058i | ||||
\(87\) | −2.70503 | − | 3.91891i | −0.290009 | − | 0.420151i | ||||
\(88\) | 10.1397 | + | 2.49921i | 1.08089 | + | 0.266417i | ||||
\(89\) | − | 6.42759i | − | 0.681323i | −0.940186 | − | 0.340661i | \(-0.889349\pi\) | ||
0.940186 | − | 0.340661i | \(-0.110651\pi\) | |||||||
\(90\) | 5.26134 | − | 1.29680i | 0.554594 | − | 0.136695i | ||||
\(91\) | −0.0586956 | + | 3.85794i | −0.00615297 | + | 0.404422i | ||||
\(92\) | −5.35239 | − | 1.31925i | −0.558025 | − | 0.137541i | ||||
\(93\) | −2.27655 | + | 9.23634i | −0.236068 | + | 0.957764i | ||||
\(94\) | 0.480001 | + | 3.95316i | 0.0495083 | + | 0.407738i | ||||
\(95\) | 18.7438 | − | 9.83748i | 1.92307 | − | 1.00930i | ||||
\(96\) | 3.47595 | − | 0.422057i | 0.354763 | − | 0.0430760i | ||||
\(97\) | 7.11346 | − | 13.5536i | 0.722262 | − | 1.37616i | −0.196167 | − | 0.980570i | \(-0.562849\pi\) |
0.918429 | − | 0.395585i | \(-0.129458\pi\) | |||||||
\(98\) | 6.31003 | + | 7.12256i | 0.637410 | + | 0.719487i | ||||
\(99\) | − | 4.72978i | − | 0.475361i | ||||||
\(100\) | −2.93674 | + | 2.60172i | −0.293674 | + | 0.260172i | ||||
\(101\) | 7.00987 | − | 10.1555i | 0.697508 | − | 1.01051i | −0.300875 | − | 0.953664i | \(-0.597279\pi\) |
0.998383 | − | 0.0568510i | \(-0.0181060\pi\) | |||||||
\(102\) | 2.55796 | + | 10.3780i | 0.253275 | + | 1.02758i | ||||
\(103\) | 1.25453 | − | 1.11141i | 0.123612 | − | 0.109511i | −0.599052 | − | 0.800710i | \(-0.704456\pi\) |
0.722664 | + | 0.691199i | \(0.242917\pi\) | |||||||
\(104\) | 0.121105 | − | 7.95999i | 0.0118753 | − | 0.780541i | ||||
\(105\) | 2.67062 | + | 2.36596i | 0.260626 | + | 0.230894i | ||||
\(106\) | 4.82171 | − | 9.18700i | 0.468326 | − | 0.892320i | ||||
\(107\) | 16.8554 | − | 8.84640i | 1.62947 | − | 0.855213i | 0.632747 | − | 0.774359i | \(-0.281927\pi\) |
0.996726 | − | 0.0808546i | \(-0.0257650\pi\) | |||||||
\(108\) | −0.227470 | − | 0.599789i | −0.0218883 | − | 0.0577148i | ||||
\(109\) | 15.0845 | + | 10.4121i | 1.44483 | + | 0.997295i | 0.994534 | + | 0.104417i | \(0.0332975\pi\) |
0.450298 | + | 0.892878i | \(0.351318\pi\) | |||||||
\(110\) | 11.9107 | + | 22.6940i | 1.13564 | + | 2.16379i | ||||
\(111\) | 0.718071 | − | 2.91333i | 0.0681563 | − | 0.276521i | ||||
\(112\) | 3.45690 | + | 3.90204i | 0.326647 | + | 0.368708i | ||||
\(113\) | −7.28821 | − | 6.45679i | −0.685617 | − | 0.607404i | 0.246680 | − | 0.969097i | \(-0.420660\pi\) |
−0.932297 | + | 0.361693i | \(0.882199\pi\) | |||||||
\(114\) | −5.86180 | − | 8.49228i | −0.549008 | − | 0.795375i | ||||
\(115\) | 13.3152 | + | 25.3701i | 1.24165 | + | 2.36577i | ||||
\(116\) | 1.08317 | − | 2.85609i | 0.100570 | − | 0.265182i | ||||
\(117\) | −3.51350 | + | 0.809510i | −0.324823 | + | 0.0748392i | ||||
\(118\) | −0.150161 | − | 0.395941i | −0.0138234 | − | 0.0364493i | ||||
\(119\) | −4.66688 | + | 5.26782i | −0.427813 | + | 0.482901i | ||||
\(120\) | −5.51022 | − | 4.88163i | −0.503012 | − | 0.445629i | ||||
\(121\) | 11.0404 | − | 2.72121i | 1.00367 | − | 0.247383i | ||||
\(122\) | 1.13127 | + | 4.58975i | 0.102421 | + | 0.415537i | ||||
\(123\) | 6.78219 | + | 0.823507i | 0.611529 | + | 0.0742531i | ||||
\(124\) | −5.70565 | + | 2.16387i | −0.512383 | + | 0.194321i | ||||
\(125\) | 3.69466 | + | 0.448613i | 0.330460 | + | 0.0401251i | ||||
\(126\) | 0.987996 | − | 1.43136i | 0.0880177 | − | 0.127516i | ||||
\(127\) | −1.25732 | + | 0.309902i | −0.111569 | + | 0.0274993i | −0.294705 | − | 0.955588i | \(-0.595221\pi\) |
0.183136 | + | 0.983088i | \(0.441375\pi\) | |||||||
\(128\) | −9.01096 | − | 10.1713i | −0.796464 | − | 0.899022i | ||||
\(129\) | 0.450293 | + | 3.70849i | 0.0396461 | + | 0.326515i | ||||
\(130\) | 14.8196 | − | 12.7320i | 1.29977 | − | 1.11667i | ||||
\(131\) | −0.717239 | + | 5.90699i | −0.0626655 | + | 0.516097i | 0.927251 | + | 0.374441i | \(0.122165\pi\) |
−0.989916 | + | 0.141655i | \(0.954758\pi\) | |||||||
\(132\) | 2.49696 | − | 1.72353i | 0.217333 | − | 0.150014i | ||||
\(133\) | 2.40929 | − | 6.35277i | 0.208912 | − | 0.550855i | ||||
\(134\) | 0.465736 | + | 3.83568i | 0.0402335 | + | 0.331353i | ||||
\(135\) | −1.54944 | + | 2.95221i | −0.133354 | + | 0.254085i | ||||
\(136\) | 9.62905 | − | 10.8690i | 0.825685 | − | 0.932005i | ||||
\(137\) | 10.7905 | + | 7.44813i | 0.921893 | + | 0.636337i | 0.931549 | − | 0.363616i | \(-0.118458\pi\) |
−0.00965537 | + | 0.999953i | \(0.503073\pi\) | |||||||
\(138\) | 11.4945 | − | 7.93407i | 0.978476 | − | 0.675393i | ||||
\(139\) | −6.69754 | − | 3.51514i | −0.568078 | − | 0.298150i | 0.156125 | − | 0.987737i | \(-0.450100\pi\) |
−0.724203 | + | 0.689587i | \(0.757792\pi\) | |||||||
\(140\) | −0.275875 | + | 2.27204i | −0.0233157 | + | 0.192022i | ||||
\(141\) | −2.01647 | − | 1.39187i | −0.169817 | − | 0.117216i | ||||
\(142\) | 9.36273 | + | 13.5643i | 0.785703 | + | 1.13829i | ||||
\(143\) | −7.69451 | − | 15.2189i | −0.643447 | − | 1.27267i | ||||
\(144\) | −2.76730 | + | 4.00913i | −0.230609 | + | 0.334094i | ||||
\(145\) | −14.8447 | + | 5.62987i | −1.23279 | + | 0.467535i | ||||
\(146\) | −10.9479 | −0.906055 | ||||||||
\(147\) | −5.85483 | −0.482899 | ||||||||
\(148\) | 1.79968 | − | 0.682528i | 0.147933 | − | 0.0561035i | ||||
\(149\) | −0.798152 | − | 3.23823i | −0.0653872 | − | 0.265286i | 0.929145 | − | 0.369715i | \(-0.120545\pi\) |
−0.994532 | + | 0.104429i | \(0.966699\pi\) | |||||||
\(150\) | − | 9.94055i | − | 0.811643i | ||||||
\(151\) | −4.73734 | + | 19.2201i | −0.385519 | + | 1.56411i | 0.382667 | + | 0.923887i | \(0.375006\pi\) |
−0.768186 | + | 0.640227i | \(0.778840\pi\) | |||||||
\(152\) | −4.97102 | + | 13.1075i | −0.403203 | + | 1.06316i | ||||
\(153\) | −5.82326 | − | 3.05628i | −0.470782 | − | 0.247086i | ||||
\(154\) | 7.69161 | + | 2.91704i | 0.619808 | + | 0.235062i | ||||
\(155\) | 28.0836 | + | 14.7394i | 2.25573 | + | 1.18390i | ||||
\(156\) | −1.70768 | − | 1.55988i | −0.136724 | − | 0.124890i | ||||
\(157\) | 19.5786 | − | 10.2757i | 1.56254 | − | 0.820087i | 0.562567 | − | 0.826752i | \(-0.309814\pi\) |
0.999978 | + | 0.00666515i | \(0.00212160\pi\) | |||||||
\(158\) | −2.28152 | + | 0.277027i | −0.181508 | + | 0.0220391i | ||||
\(159\) | 2.26375 | + | 5.96901i | 0.179527 | + | 0.473374i | ||||
\(160\) | 1.40718 | − | 11.5892i | 0.111248 | − | 0.916206i | ||||
\(161\) | 8.59862 | + | 3.26102i | 0.677666 | + | 0.257005i | ||||
\(162\) | 1.51965 | + | 0.576326i | 0.119395 | + | 0.0452804i | ||||
\(163\) | −0.263892 | + | 0.182152i | −0.0206697 | + | 0.0142672i | −0.578355 | − | 0.815785i | \(-0.696305\pi\) |
0.557685 | + | 0.830053i | \(0.311690\pi\) | |||||||
\(164\) | 2.03668 | + | 3.88056i | 0.159038 | + | 0.303021i | ||||
\(165\) | −15.3114 | − | 3.77391i | −1.19199 | − | 0.293798i | ||||
\(166\) | 14.3841 | − | 12.7432i | 1.11642 | − | 0.989062i | ||||
\(167\) | 8.02971 | + | 0.974983i | 0.621358 | + | 0.0754465i | 0.425160 | − | 0.905118i | \(-0.360218\pi\) |
0.196197 | + | 0.980564i | \(0.437141\pi\) | |||||||
\(168\) | −2.36279 | −0.182293 | ||||||||
\(169\) | −9.98839 | + | 8.32058i | −0.768337 | + | 0.640045i | ||||
\(170\) | 35.6371 | 2.73324 | ||||||||
\(171\) | 6.30277 | + | 0.765295i | 0.481985 | + | 0.0585236i | ||||
\(172\) | −1.79371 | + | 1.58909i | −0.136769 | + | 0.121167i | ||||
\(173\) | −12.3485 | − | 3.04364i | −0.938842 | − | 0.231404i | −0.259934 | − | 0.965627i | \(-0.583701\pi\) |
−0.678909 | + | 0.734223i | \(0.737547\pi\) | |||||||
\(174\) | 3.59659 | + | 6.85274i | 0.272657 | + | 0.519505i | ||||
\(175\) | 5.38658 | − | 3.71809i | 0.407187 | − | 0.281061i | ||||
\(176\) | −21.5436 | − | 8.17042i | −1.62391 | − | 0.615869i | ||||
\(177\) | 0.243617 | + | 0.0923917i | 0.0183114 | + | 0.00694459i | ||||
\(178\) | −1.25919 | + | 10.3703i | −0.0943801 | + | 0.777290i | ||||
\(179\) | −3.23604 | − | 8.53275i | −0.241873 | − | 0.637768i | 0.758022 | − | 0.652229i | \(-0.226166\pi\) |
−0.999895 | + | 0.0144613i | \(0.995397\pi\) | |||||||
\(180\) | −2.12315 | + | 0.257797i | −0.158250 | + | 0.0192151i | ||||
\(181\) | 2.57715 | − | 1.35259i | 0.191558 | − | 0.100538i | −0.366217 | − | 0.930529i | \(-0.619347\pi\) |
0.557776 | + | 0.829992i | \(0.311655\pi\) | |||||||
\(182\) | 0.850485 | − | 6.21295i | 0.0630421 | − | 0.460534i | ||||
\(183\) | −2.57537 | − | 1.35166i | −0.190377 | − | 0.0999175i | ||||
\(184\) | −17.7413 | − | 6.72838i | −1.30791 | − | 0.496023i | ||||
\(185\) | −8.85815 | − | 4.64912i | −0.651264 | − | 0.341810i | ||||
\(186\) | 5.48245 | − | 14.4560i | 0.401993 | − | 1.05997i | ||||
\(187\) | 7.44407 | − | 30.2018i | 0.544365 | − | 2.20857i | ||||
\(188\) | − | 1.57173i | − | 0.114631i | ||||||
\(189\) | 0.256098 | + | 1.03903i | 0.0186284 | + | 0.0755782i | ||||
\(190\) | −32.1686 | + | 12.1999i | −2.33375 | + | 0.885076i | ||||
\(191\) | 5.91276 | 0.427832 | 0.213916 | − | 0.976852i | \(-0.431378\pi\) | ||||
0.213916 | + | 0.976852i | \(0.431378\pi\) | |||||||
\(192\) | 4.05210 | 0.292435 | ||||||||
\(193\) | 5.73433 | − | 2.17474i | 0.412766 | − | 0.156542i | −0.139476 | − | 0.990225i | \(-0.544542\pi\) |
0.552242 | + | 0.833684i | \(0.313773\pi\) | |||||||
\(194\) | −14.1321 | + | 20.4739i | −1.01463 | + | 1.46994i | ||||
\(195\) | −0.182874 | + | 12.0199i | −0.0130959 | + | 0.860763i | ||||
\(196\) | −2.13350 | − | 3.09090i | −0.152393 | − | 0.220779i | ||||
\(197\) | −19.8978 | − | 13.7345i | −1.41766 | − | 0.978541i | −0.997469 | − | 0.0711066i | \(-0.977347\pi\) |
−0.420193 | − | 0.907435i | \(-0.638038\pi\) | |||||||
\(198\) | −0.926581 | + | 7.63108i | −0.0658492 | + | 0.542317i | ||||
\(199\) | 7.63991 | + | 4.00973i | 0.541579 | + | 0.284242i | 0.713247 | − | 0.700912i | \(-0.247224\pi\) |
−0.171669 | + | 0.985155i | \(0.554916\pi\) | |||||||
\(200\) | −11.1140 | + | 7.67142i | −0.785877 | + | 0.542452i | ||||
\(201\) | −1.95654 | − | 1.35050i | −0.138004 | − | 0.0952571i | ||||
\(202\) | −13.2993 | + | 15.0118i | −0.935736 | + | 1.05623i | ||||
\(203\) | −2.36811 | + | 4.51206i | −0.166209 | + | 0.316685i | ||||
\(204\) | −0.508508 | − | 4.18794i | −0.0356027 | − | 0.293214i | ||||
\(205\) | 8.07742 | − | 21.2984i | 0.564151 | − | 1.48754i | ||||
\(206\) | −2.24180 | + | 1.54740i | −0.156193 | + | 0.107813i | ||||
\(207\) | −1.03584 | + | 8.53094i | −0.0719961 | + | 0.592941i | ||||
\(208\) | −2.38215 | + | 17.4020i | −0.165172 | + | 1.20661i | ||||
\(209\) | 3.61968 | + | 29.8107i | 0.250378 | + | 2.06205i | ||||
\(210\) | −3.84531 | − | 4.34046i | −0.265351 | − | 0.299520i | ||||
\(211\) | −17.2514 | + | 4.25208i | −1.18763 | + | 0.292725i | −0.783157 | − | 0.621823i | \(-0.786392\pi\) |
−0.404476 | + | 0.914549i | \(0.632546\pi\) | |||||||
\(212\) | −2.32627 | + | 3.37019i | −0.159769 | + | 0.231466i | ||||
\(213\) | −10.0671 | − | 1.22236i | −0.689785 | − | 0.0837550i | ||||
\(214\) | −28.9277 | + | 10.9708i | −1.97746 | + | 0.749951i | ||||
\(215\) | 12.3645 | + | 1.50132i | 0.843253 | + | 0.102389i | ||||
\(216\) | −0.528399 | − | 2.14380i | −0.0359530 | − | 0.145867i | ||||
\(217\) | 9.88403 | − | 2.43619i | 0.670972 | − | 0.165380i | ||||
\(218\) | −22.2977 | − | 19.7541i | −1.51019 | − | 1.33791i | ||||
\(219\) | 4.46685 | − | 5.04204i | 0.301842 | − | 0.340709i | ||||
\(220\) | −3.58711 | − | 9.45843i | −0.241843 | − | 0.637687i | ||||
\(221\) | −23.7094 | − | 0.360720i | −1.59487 | − | 0.0242647i | ||||
\(222\) | −1.72928 | + | 4.55973i | −0.116061 | + | 0.306029i | ||||
\(223\) | 2.69212 | + | 5.12941i | 0.180278 | + | 0.343491i | 0.958779 | − | 0.284152i | \(-0.0917121\pi\) |
−0.778501 | + | 0.627643i | \(0.784020\pi\) | |||||||
\(224\) | −2.12855 | − | 3.08374i | −0.142220 | − | 0.206041i | ||||
\(225\) | 4.57810 | + | 4.05584i | 0.305207 | + | 0.270390i | ||||
\(226\) | 10.4940 | + | 11.8452i | 0.698049 | + | 0.787934i | ||||
\(227\) | 5.10663 | − | 20.7184i | 0.338939 | − | 1.37513i | −0.516083 | − | 0.856539i | \(-0.672610\pi\) |
0.855022 | − | 0.518592i | \(-0.173544\pi\) | |||||||
\(228\) | 1.89271 | + | 3.60626i | 0.125348 | + | 0.238830i | ||||
\(229\) | 15.0028 | + | 10.3557i | 0.991411 | + | 0.684321i | 0.949163 | − | 0.314786i | \(-0.101933\pi\) |
0.0422480 | + | 0.999107i | \(0.486548\pi\) | |||||||
\(230\) | −16.5129 | − | 43.5409i | −1.08883 | − | 2.87100i | ||||
\(231\) | −4.48169 | + | 2.35217i | −0.294874 | + | 0.154762i | ||||
\(232\) | 4.88606 | − | 9.30961i | 0.320786 | − | 0.611206i | ||||
\(233\) | −3.75569 | − | 3.32725i | −0.246043 | − | 0.217975i | 0.531083 | − | 0.847320i | \(-0.321785\pi\) |
−0.777127 | + | 0.629344i | \(0.783324\pi\) | |||||||
\(234\) | 5.82731 | − | 0.617764i | 0.380943 | − | 0.0403845i | ||||
\(235\) | −6.11473 | + | 5.41718i | −0.398881 | + | 0.353378i | ||||
\(236\) | 0.0399981 | + | 0.162279i | 0.00260365 | + | 0.0105634i | ||||
\(237\) | 0.803299 | − | 1.16378i | 0.0521799 | − | 0.0755956i | ||||
\(238\) | 8.56159 | − | 7.58491i | 0.554965 | − | 0.491656i | ||||
\(239\) | − | 16.2020i | − | 1.04802i | −0.851711 | − | 0.524012i | \(-0.824435\pi\) | ||
0.851711 | − | 0.524012i | \(-0.175565\pi\) | |||||||
\(240\) | 10.7704 | + | 12.1573i | 0.695228 | + | 0.784750i | ||||
\(241\) | 3.27560 | − | 6.24114i | 0.211000 | − | 0.402027i | −0.756837 | − | 0.653603i | \(-0.773257\pi\) |
0.967838 | + | 0.251576i | \(0.0809488\pi\) | |||||||
\(242\) | −18.3458 | + | 2.22758i | −1.17931 | + | 0.143194i | ||||
\(243\) | −0.885456 | + | 0.464723i | −0.0568020 | + | 0.0298120i | ||||
\(244\) | −0.224891 | − | 1.85214i | −0.0143972 | − | 0.118571i | ||||
\(245\) | −4.67160 | + | 18.9534i | −0.298457 | + | 1.21089i | ||||
\(246\) | −10.7811 | − | 2.65731i | −0.687380 | − | 0.169424i | ||||
\(247\) | 21.5253 | − | 7.79102i | 1.36962 | − | 0.495731i | ||||
\(248\) | −20.3935 | + | 5.02653i | −1.29499 | + | 0.319185i | ||||
\(249\) | 11.8239i | 0.749309i | ||||||||
\(250\) | −5.87312 | − | 1.44759i | −0.371449 | − | 0.0915538i | ||||
\(251\) | 7.48213 | + | 10.8397i | 0.472268 | + | 0.684198i | 0.984646 | − | 0.174562i | \(-0.0558509\pi\) |
−0.512378 | + | 0.858760i | \(0.671235\pi\) | |||||||
\(252\) | −0.455206 | + | 0.513821i | −0.0286753 | + | 0.0323677i | ||||
\(253\) | −40.3495 | + | 4.89931i | −2.53675 | + | 0.308017i | ||||
\(254\) | 2.08929 | − | 0.253685i | 0.131093 | − | 0.0159176i | ||||
\(255\) | −14.5403 | + | 16.4126i | −0.910547 | + | 1.02780i | ||||
\(256\) | 7.94209 | + | 11.5061i | 0.496381 | + | 0.719131i | ||||
\(257\) | 12.0394 | + | 2.96746i | 0.751000 | + | 0.185105i | 0.596194 | − | 0.802840i | \(-0.296679\pi\) |
0.154805 | + | 0.987945i | \(0.450525\pi\) | |||||||
\(258\) | − | 6.07154i | − | 0.377998i | ||||||
\(259\) | −3.11763 | + | 0.768426i | −0.193720 | + | 0.0477476i | ||||
\(260\) | −6.41223 | + | 4.28350i | −0.397670 | + | 0.265652i | ||||
\(261\) | −4.62346 | − | 1.13958i | −0.286185 | − | 0.0705382i | ||||
\(262\) | 2.31440 | − | 9.38990i | 0.142984 | − | 0.580110i | ||||
\(263\) | 0.456549 | + | 3.76002i | 0.0281520 | + | 0.231853i | 0.999993 | − | 0.00378556i | \(-0.00120498\pi\) |
−0.971841 | + | 0.235638i | \(0.924282\pi\) | |||||||
\(264\) | 9.24695 | − | 4.85317i | 0.569111 | − | 0.298692i | ||||
\(265\) | 21.1293 | − | 2.56556i | 1.29796 | − | 0.157601i | ||||
\(266\) | −5.13171 | + | 9.77765i | −0.314645 | + | 0.599506i | ||||
\(267\) | −4.26228 | − | 4.81112i | −0.260847 | − | 0.294436i | ||||
\(268\) | − | 1.52503i | − | 0.0931558i | ||||||
\(269\) | −0.289054 | + | 0.256079i | −0.0176239 | + | 0.0156134i | −0.671889 | − | 0.740652i | \(-0.734517\pi\) |
0.654265 | + | 0.756266i | \(0.272978\pi\) | |||||||
\(270\) | 3.07823 | − | 4.45958i | 0.187335 | − | 0.271402i | ||||
\(271\) | −1.04590 | − | 4.24339i | −0.0635341 | − | 0.257768i | 0.930583 | − | 0.366082i | \(-0.119301\pi\) |
−0.994117 | + | 0.108314i | \(0.965455\pi\) | |||||||
\(272\) | −23.9804 | + | 21.2448i | −1.45402 | + | 1.28815i | ||||
\(273\) | 2.51435 | + | 2.92663i | 0.152176 | + | 0.177128i | ||||
\(274\) | −15.9504 | − | 14.1308i | −0.963598 | − | 0.853673i | ||||
\(275\) | −13.4438 | + | 25.6150i | −0.810692 | + | 1.54464i | ||||
\(276\) | −4.88115 | + | 2.56182i | −0.293810 | + | 0.154204i | ||||
\(277\) | −5.02506 | − | 13.2500i | −0.301926 | − | 0.796115i | −0.997016 | − | 0.0771917i | \(-0.975405\pi\) |
0.695090 | − | 0.718923i | \(-0.255365\pi\) | |||||||
\(278\) | 10.1173 | + | 6.98344i | 0.606793 | + | 0.418839i | ||||
\(279\) | 4.42080 | + | 8.42313i | 0.264666 | + | 0.504280i | ||||
\(280\) | −1.88528 | + | 7.64888i | −0.112667 | + | 0.457108i | ||||
\(281\) | −13.5367 | − | 15.2798i | −0.807532 | − | 0.911515i | 0.189996 | − | 0.981785i | \(-0.439152\pi\) |
−0.997528 | + | 0.0702701i | \(0.977614\pi\) | |||||||
\(282\) | 2.98072 | + | 2.64069i | 0.177499 | + | 0.157251i | ||||
\(283\) | −12.2634 | − | 17.7666i | −0.728983 | − | 1.05611i | −0.995727 | − | 0.0923462i | \(-0.970563\pi\) |
0.266744 | − | 0.963767i | \(-0.414052\pi\) | |||||||
\(284\) | −3.02312 | − | 5.76007i | −0.179389 | − | 0.341798i | ||||
\(285\) | 7.50644 | − | 19.7929i | 0.444643 | − | 1.17243i | ||||
\(286\) | 9.43297 | + | 26.0617i | 0.557783 | + | 1.54106i | ||||
\(287\) | −2.59255 | − | 6.83599i | −0.153033 | − | 0.403516i | ||||
\(288\) | 2.32191 | − | 2.62089i | 0.136820 | − | 0.154438i | ||||
\(289\) | −19.6493 | − | 17.4077i | −1.15584 | − | 1.02398i | ||||
\(290\) | 25.0536 | − | 6.17515i | 1.47120 | − | 0.362618i | ||||
\(291\) | −3.66317 | − | 14.8621i | −0.214739 | − | 0.871231i | ||||
\(292\) | 4.28953 | + | 0.520843i | 0.251026 | + | 0.0304800i | ||||
\(293\) | 1.45878 | − | 0.553241i | 0.0852226 | − | 0.0323207i | −0.311625 | − | 0.950205i | \(-0.600873\pi\) |
0.396848 | + | 0.917884i | \(0.370104\pi\) | |||||||
\(294\) | 9.44626 | + | 1.14698i | 0.550917 | + | 0.0668934i | ||||
\(295\) | 0.493476 | − | 0.714923i | 0.0287313 | − | 0.0416244i | ||||
\(296\) | 6.43251 | − | 1.58547i | 0.373882 | − | 0.0921537i | ||||
\(297\) | −3.13642 | − | 3.54029i | −0.181994 | − | 0.205428i | ||||
\(298\) | 0.653367 | + | 5.38096i | 0.0378485 | + | 0.311711i | ||||
\(299\) | 10.5453 | + | 29.1350i | 0.609851 | + | 1.68492i | ||||
\(300\) | −0.472918 | + | 3.89483i | −0.0273040 | + | 0.224868i | ||||
\(301\) | 3.29004 | − | 2.27095i | 0.189635 | − | 0.130895i | ||||
\(302\) | 11.4086 | − | 30.0819i | 0.656490 | − | 1.73102i | ||||
\(303\) | −1.48741 | − | 12.2499i | −0.0854496 | − | 0.703741i | ||||
\(304\) | 14.3735 | − | 27.3865i | 0.824378 | − | 1.57072i | ||||
\(305\) | −6.43053 | + | 7.25856i | −0.368211 | + | 0.415624i | ||||
\(306\) | 8.79657 | + | 6.07183i | 0.502866 | + | 0.347104i | ||||
\(307\) | 0.874657 | − | 0.603732i | 0.0499193 | − | 0.0344568i | −0.542844 | − | 0.839834i | \(-0.682652\pi\) |
0.592763 | + | 0.805377i | \(0.298037\pi\) | |||||||
\(308\) | −2.87489 | − | 1.50886i | −0.163812 | − | 0.0859753i | ||||
\(309\) | 0.202023 | − | 1.66381i | 0.0114927 | − | 0.0946508i | ||||
\(310\) | −42.4229 | − | 29.2824i | −2.40946 | − | 1.66313i | ||||
\(311\) | 7.92253 | + | 11.4778i | 0.449245 | + | 0.650844i | 0.980535 | − | 0.196346i | \(-0.0629076\pi\) |
−0.531289 | + | 0.847190i | \(0.678292\pi\) | |||||||
\(312\) | −5.18780 | − | 6.03844i | −0.293701 | − | 0.341860i | ||||
\(313\) | 15.7580 | − | 22.8294i | 0.890695 | − | 1.29039i | −0.0655569 | − | 0.997849i | \(-0.520882\pi\) |
0.956252 | − | 0.292545i | \(-0.0945022\pi\) | |||||||
\(314\) | −33.6014 | + | 12.7433i | −1.89624 | + | 0.719148i | ||||
\(315\) | 3.56791 | 0.201029 | ||||||||
\(316\) | 0.907108 | 0.0510288 | ||||||||
\(317\) | −1.88097 | + | 0.713356i | −0.105646 | + | 0.0400661i | −0.406861 | − | 0.913490i | \(-0.633377\pi\) |
0.301216 | + | 0.953556i | \(0.402608\pi\) | |||||||
\(318\) | −2.48301 | − | 10.0740i | −0.139240 | − | 0.564919i | ||||
\(319\) | − | 22.5224i | − | 1.26101i | ||||||
\(320\) | 3.23319 | − | 13.1176i | 0.180741 | − | 0.733294i | ||||
\(321\) | 6.75020 | − | 17.7988i | 0.376759 | − | 0.993433i | ||||
\(322\) | −13.2343 | − | 6.94587i | −0.737516 | − | 0.387078i | ||||
\(323\) | 39.0416 | + | 14.8065i | 2.17233 | + | 0.823858i | ||||
\(324\) | −0.567998 | − | 0.298108i | −0.0315554 | − | 0.0165616i | ||||
\(325\) | 21.3290 | + | 5.60264i | 1.18312 | + | 0.310778i | ||||
\(326\) | 0.461451 | − | 0.242188i | 0.0255574 | − | 0.0134136i | ||||
\(327\) | 18.1954 | − | 2.20932i | 1.00621 | − | 0.122176i | ||||
\(328\) | 5.34914 | + | 14.1045i | 0.295357 | + | 0.778791i | ||||
\(329\) | −0.316048 | + | 2.60289i | −0.0174243 | + | 0.143502i | ||||
\(330\) | 23.9642 | + | 9.08842i | 1.31919 | + | 0.500301i | ||||
\(331\) | −10.0492 | − | 3.81116i | −0.552355 | − | 0.209481i | 0.0626059 | − | 0.998038i | \(-0.480059\pi\) |
−0.614961 | + | 0.788558i | \(0.710828\pi\) | |||||||
\(332\) | −6.24211 | + | 4.30862i | −0.342580 | + | 0.236466i | ||||
\(333\) | −1.39441 | − | 2.65683i | −0.0764132 | − | 0.145593i | ||||
\(334\) | −12.7642 | − | 3.14610i | −0.698427 | − | 0.172147i | ||||
\(335\) | −5.93301 | + | 5.25619i | −0.324155 | + | 0.287176i | ||||
\(336\) | 5.17506 | + | 0.628366i | 0.282323 | + | 0.0342802i | ||||
\(337\) | −1.78425 | −0.0971945 | −0.0485972 | − | 0.998818i | \(-0.515475\pi\) | ||||
−0.0485972 | + | 0.998818i | \(0.515475\pi\) | |||||||
\(338\) | 17.7454 | − | 11.4678i | 0.965223 | − | 0.623764i | ||||
\(339\) | −9.73695 | −0.528838 | ||||||||
\(340\) | −13.9630 | − | 1.69542i | −0.757252 | − | 0.0919471i | ||||
\(341\) | −33.6779 | + | 29.8360i | −1.82376 | + | 1.61571i | ||||
\(342\) | −10.0190 | − | 2.46947i | −0.541768 | − | 0.133534i | ||||
\(343\) | 6.39286 | + | 12.1806i | 0.345182 | + | 0.657689i | ||||
\(344\) | −6.78825 | + | 4.68559i | −0.365998 | + | 0.252630i | ||||
\(345\) | 26.7901 | + | 10.1601i | 1.44233 | + | 0.547003i | ||||
\(346\) | 19.3270 | + | 7.32977i | 1.03903 | + | 0.394051i | ||||
\(347\) | 1.61913 | − | 13.3347i | 0.0869195 | − | 0.715847i | −0.882479 | − | 0.470353i | \(-0.844127\pi\) |
0.969398 | − | 0.245494i | \(-0.0789502\pi\) | |||||||
\(348\) | −1.08317 | − | 2.85609i | −0.0580642 | − | 0.153103i | ||||
\(349\) | 1.69753 | − | 0.206117i | 0.0908667 | − | 0.0110332i | −0.0749770 | − | 0.997185i | \(-0.523888\pi\) |
0.165844 | + | 0.986152i | \(0.446965\pi\) | |||||||
\(350\) | −9.41915 | + | 4.94355i | −0.503475 | + | 0.264244i | ||||
\(351\) | −2.09309 | + | 2.93581i | −0.111721 | + | 0.156702i | ||||
\(352\) | 14.6642 | + | 7.69638i | 0.781606 | + | 0.410218i | ||||
\(353\) | 18.1669 | + | 6.88981i | 0.966929 | + | 0.366708i | 0.786987 | − | 0.616970i | \(-0.211640\pi\) |
0.179942 | + | 0.983677i | \(0.442409\pi\) | |||||||
\(354\) | −0.374955 | − | 0.196791i | −0.0199286 | − | 0.0104593i | ||||
\(355\) | −11.9896 | + | 31.6141i | −0.636344 | + | 1.67790i | ||||
\(356\) | 0.986731 | − | 4.00333i | 0.0522966 | − | 0.212176i | ||||
\(357\) | 7.03774i | 0.372477i | ||||||||
\(358\) | 3.54948 | + | 14.4008i | 0.187596 | + | 0.761105i | ||||
\(359\) | −17.5019 | + | 6.63759i | −0.923714 | + | 0.350319i | −0.770181 | − | 0.637825i | \(-0.779834\pi\) |
−0.153533 | + | 0.988144i | \(0.549065\pi\) | |||||||
\(360\) | −7.36157 | −0.387989 | ||||||||
\(361\) | −21.3106 | −1.12161 | ||||||||
\(362\) | −4.42299 | + | 1.67742i | −0.232467 | + | 0.0881631i | ||||
\(363\) | 6.45935 | − | 9.35798i | 0.339028 | − | 0.491167i | ||||
\(364\) | −0.628810 | + | 2.39385i | −0.0329586 | + | 0.125472i | ||||
\(365\) | −12.7581 | − | 18.4833i | −0.667789 | − | 0.967459i | ||||
\(366\) | 3.89034 | + | 2.68531i | 0.203351 | + | 0.140363i | ||||
\(367\) | 0.768625 | − | 6.33020i | 0.0401219 | − | 0.330434i | −0.958803 | − | 0.284072i | \(-0.908314\pi\) |
0.998925 | − | 0.0463612i | \(-0.0147625\pi\) | |||||||
\(368\) | 37.0682 | + | 19.4549i | 1.93231 | + | 1.01416i | ||||
\(369\) | 5.62263 | − | 3.88102i | 0.292702 | − | 0.202038i | ||||
\(370\) | 13.3811 | + | 9.23628i | 0.695648 | + | 0.480171i | ||||
\(371\) | 4.53014 | − | 5.11347i | 0.235193 | − | 0.265478i | ||||
\(372\) | −2.83583 | + | 5.40323i | −0.147031 | + | 0.280144i | ||||
\(373\) | −0.0830999 | − | 0.684390i | −0.00430275 | − | 0.0354363i | 0.990399 | − | 0.138236i | \(-0.0441431\pi\) |
−0.994702 | + | 0.102799i | \(0.967220\pi\) | |||||||
\(374\) | −17.9270 | + | 47.2696i | −0.926983 | + | 2.44425i | ||||
\(375\) | 3.06298 | − | 2.11422i | 0.158171 | − | 0.109178i | ||||
\(376\) | 0.652093 | − | 5.37047i | 0.0336291 | − | 0.276961i | ||||
\(377\) | −16.7307 | + | 3.85475i | −0.861674 | + | 0.198529i | ||||
\(378\) | −0.209641 | − | 1.72655i | −0.0107828 | − | 0.0888042i | ||||
\(379\) | −3.85506 | − | 4.35147i | −0.198021 | − | 0.223520i | 0.641110 | − | 0.767449i | \(-0.278474\pi\) |
−0.839131 | + | 0.543929i | \(0.816936\pi\) | |||||||
\(380\) | 13.1845 | − | 3.24968i | 0.676349 | − | 0.166705i | ||||
\(381\) | −0.735615 | + | 1.06572i | −0.0376867 | + | 0.0545986i | ||||
\(382\) | −9.53971 | − | 1.15833i | −0.488094 | − | 0.0592654i | ||||
\(383\) | 34.8908 | − | 13.2323i | 1.78284 | − | 0.676141i | 0.784400 | − | 0.620256i | \(-0.212971\pi\) |
0.998437 | − | 0.0558850i | \(-0.0177980\pi\) | |||||||
\(384\) | −13.4896 | − | 1.63793i | −0.688388 | − | 0.0835855i | ||||
\(385\) | 4.03855 | + | 16.3851i | 0.205824 | + | 0.835060i | ||||
\(386\) | −9.67787 | + | 2.38538i | −0.492591 | + | 0.121413i | ||||
\(387\) | 2.79623 | + | 2.47725i | 0.142141 | + | 0.125926i | ||||
\(388\) | 6.51118 | − | 7.34961i | 0.330555 | − | 0.373120i | ||||
\(389\) | 10.2056 | + | 26.9099i | 0.517443 | + | 1.36438i | 0.898150 | + | 0.439689i | \(0.144911\pi\) |
−0.380708 | + | 0.924695i | \(0.624320\pi\) | |||||||
\(390\) | 2.64979 | − | 19.3572i | 0.134178 | − | 0.980192i | ||||
\(391\) | −20.0410 | + | 52.8437i | −1.01352 | + | 2.67242i | ||||
\(392\) | −6.00758 | − | 11.4465i | −0.303429 | − | 0.578135i | ||||
\(393\) | 3.38020 | + | 4.89707i | 0.170509 | + | 0.247024i | ||||
\(394\) | 29.4128 | + | 26.0574i | 1.48179 | + | 1.31275i | ||||
\(395\) | −3.12646 | − | 3.52905i | −0.157309 | − | 0.177566i | ||||
\(396\) | 0.726092 | − | 2.94587i | 0.0364875 | − | 0.148036i | ||||
\(397\) | 6.48866 | + | 12.3631i | 0.325657 | + | 0.620487i | 0.992154 | − | 0.125020i | \(-0.0398996\pi\) |
−0.666498 | + | 0.745507i | \(0.732207\pi\) | |||||||
\(398\) | −11.5408 | − | 7.96604i | −0.578488 | − | 0.399301i | ||||
\(399\) | −2.40929 | − | 6.35277i | −0.120615 | − | 0.318036i | ||||
\(400\) | 26.3823 | − | 13.8465i | 1.31912 | − | 0.692326i | ||||
\(401\) | 14.2812 | − | 27.2105i | 0.713168 | − | 1.35883i | −0.211244 | − | 0.977433i | \(-0.567751\pi\) |
0.924412 | − | 0.381395i | \(-0.124556\pi\) | |||||||
\(402\) | 2.89214 | + | 2.56221i | 0.144247 | + | 0.127791i | ||||
\(403\) | 27.9277 | + | 19.9111i | 1.39118 | + | 0.991841i | ||||
\(404\) | 5.92502 | − | 5.24911i | 0.294781 | − | 0.261153i | ||||
\(405\) | 0.797904 | + | 3.23723i | 0.0396482 | + | 0.160859i | ||||
\(406\) | 4.70467 | − | 6.81589i | 0.233489 | − | 0.338267i | ||||
\(407\) | 10.6227 | − | 9.41090i | 0.526548 | − | 0.466481i | ||||
\(408\) | − | 14.5208i | − | 0.718885i | ||||||
\(409\) | −8.20601 | − | 9.26268i | −0.405761 | − | 0.458010i | 0.509738 | − | 0.860330i | \(-0.329742\pi\) |
−0.915499 | + | 0.402320i | \(0.868204\pi\) | |||||||
\(410\) | −17.2046 | + | 32.7807i | −0.849676 | + | 1.61892i | ||||
\(411\) | 13.0158 | − | 1.58041i | 0.642023 | − | 0.0779557i | ||||
\(412\) | 0.951981 | − | 0.499638i | 0.0469008 | − | 0.0246154i | ||||
\(413\) | −0.0336079 | − | 0.276786i | −0.00165374 | − | 0.0136198i | ||||
\(414\) | 3.34248 | − | 13.5610i | 0.164274 | − | 0.666487i | ||||
\(415\) | 38.2766 | + | 9.43434i | 1.87892 | + | 0.463113i | ||||
\(416\) | 3.20743 | − | 12.2105i | 0.157257 | − | 0.598670i | ||||
\(417\) | −7.34415 | + | 1.81017i | −0.359644 | + | 0.0886444i | ||||
\(418\) | − | 48.8061i | − | 2.38718i | ||||||
\(419\) | 2.34856 | + | 0.578869i | 0.114735 | + | 0.0282796i | 0.296265 | − | 0.955106i | \(-0.404259\pi\) |
−0.181530 | + | 0.983385i | \(0.558105\pi\) | |||||||
\(420\) | 1.30014 | + | 1.88358i | 0.0634405 | + | 0.0919095i | ||||
\(421\) | −6.06844 | + | 6.84985i | −0.295757 | + | 0.333841i | −0.877540 | − | 0.479503i | \(-0.840817\pi\) |
0.581783 | + | 0.813344i | \(0.302355\pi\) | |||||||
\(422\) | 28.6666 | − | 3.48075i | 1.39547 | − | 0.169440i | ||||
\(423\) | −2.43232 | + | 0.295338i | −0.118264 | + | 0.0143598i | ||||
\(424\) | −9.34691 | + | 10.5505i | −0.453926 | + | 0.512377i | ||||
\(425\) | 22.8499 | + | 33.1038i | 1.10838 | + | 1.60577i | ||||
\(426\) | 16.0029 | + | 3.94435i | 0.775342 | + | 0.191105i | ||||
\(427\) | 3.11248i | 0.150624i | ||||||||
\(428\) | 11.8562 | − | 2.92229i | 0.573090 | − | 0.141254i | ||||
\(429\) | −15.8514 | − | 6.28911i | −0.765314 | − | 0.303641i | ||||
\(430\) | −19.6549 | − | 4.84451i | −0.947845 | − | 0.233623i | ||||
\(431\) | 9.69639 | − | 39.3398i | 0.467059 | − | 1.89493i | 0.0213123 | − | 0.999773i | \(-0.493216\pi\) |
0.445747 | − | 0.895159i | \(-0.352938\pi\) | |||||||
\(432\) | 0.587190 | + | 4.83594i | 0.0282512 | + | 0.232669i | ||||
\(433\) | −5.64710 | + | 2.96383i | −0.271382 | + | 0.142432i | −0.594925 | − | 0.803781i | \(-0.702818\pi\) |
0.323543 | + | 0.946214i | \(0.395126\pi\) | |||||||
\(434\) | −16.4243 | + | 1.99427i | −0.788390 | + | 0.0957279i | ||||
\(435\) | −7.37815 | + | 14.0579i | −0.353755 | + | 0.674025i | ||||
\(436\) | 7.79673 | + | 8.80069i | 0.373396 | + | 0.421477i | ||||
\(437\) | − | 54.5613i | − | 2.61002i | ||||||
\(438\) | −8.19463 | + | 7.25981i | −0.391554 | + | 0.346887i | ||||
\(439\) | 7.23959 | − | 10.4884i | 0.345527 | − | 0.500582i | −0.611237 | − | 0.791447i | \(-0.709328\pi\) |
0.956764 | + | 0.290866i | \(0.0939433\pi\) | |||||||
\(440\) | −8.33264 | − | 33.8068i | −0.397243 | − | 1.61168i | ||||
\(441\) | −4.38241 | + | 3.88247i | −0.208686 | + | 0.184880i | ||||
\(442\) | 38.1823 | + | 5.22674i | 1.81615 | + | 0.248611i | ||||
\(443\) | −14.1914 | − | 12.5725i | −0.674256 | − | 0.597339i | 0.254926 | − | 0.966961i | \(-0.417949\pi\) |
−0.929182 | + | 0.369622i | \(0.879487\pi\) | |||||||
\(444\) | 0.894479 | − | 1.70429i | 0.0424501 | − | 0.0808819i | ||||
\(445\) | −18.9756 | + | 9.95914i | −0.899528 | + | 0.472109i | ||||
\(446\) | −3.33863 | − | 8.80325i | −0.158089 | − | 0.416846i | ||||
\(447\) | −2.74477 | − | 1.89458i | −0.129823 | − | 0.0896105i | ||||
\(448\) | −2.01516 | − | 3.83956i | −0.0952072 | − | 0.181402i | ||||
\(449\) | −0.759341 | + | 3.08077i | −0.0358355 | + | 0.145390i | −0.986134 | − | 0.165949i | \(-0.946931\pi\) |
0.950299 | + | 0.311339i | \(0.100778\pi\) | |||||||
\(450\) | −6.59181 | − | 7.44061i | −0.310741 | − | 0.350754i | ||||
\(451\) | 24.1873 | + | 21.4280i | 1.13893 | + | 1.00901i | ||||
\(452\) | −3.54814 | − | 5.14036i | −0.166890 | − | 0.241782i | ||||
\(453\) | 9.19936 | + | 17.5279i | 0.432224 | + | 0.823534i | ||||
\(454\) | −12.2979 | + | 32.4269i | −0.577170 | + | 1.52187i | ||||
\(455\) | 11.4804 | − | 5.80436i | 0.538209 | − | 0.272113i | ||||
\(456\) | 4.97102 | + | 13.1075i | 0.232789 | + | 0.613815i | ||||
\(457\) | −23.8133 | + | 26.8797i | −1.11394 | + | 1.25738i | −0.150744 | + | 0.988573i | \(0.548167\pi\) |
−0.963195 | + | 0.268804i | \(0.913372\pi\) | |||||||
\(458\) | −22.1769 | − | 19.6470i | −1.03626 | − | 0.918046i | ||||
\(459\) | −6.38546 | + | 1.57387i | −0.298048 | + | 0.0734621i | ||||
\(460\) | 4.39851 | + | 17.8455i | 0.205082 | + | 0.832049i | ||||
\(461\) | 36.4883 | + | 4.43048i | 1.69943 | + | 0.206348i | 0.912038 | − | 0.410106i | \(-0.134508\pi\) |
0.787391 | + | 0.616454i | \(0.211431\pi\) | |||||||
\(462\) | 7.69161 | − | 2.91704i | 0.357846 | − | 0.135713i | ||||
\(463\) | 10.6312 | + | 1.29086i | 0.494075 | + | 0.0599916i | 0.363782 | − | 0.931484i | \(-0.381485\pi\) |
0.130293 | + | 0.991476i | \(0.458408\pi\) | |||||||
\(464\) | −13.1774 | + | 19.0908i | −0.611747 | + | 0.886268i | ||||
\(465\) | 30.7949 | − | 7.59027i | 1.42808 | − | 0.351990i | ||||
\(466\) | 5.40765 | + | 6.10397i | 0.250505 | + | 0.282761i | ||||
\(467\) | −3.00412 | − | 24.7412i | −0.139014 | − | 1.14489i | −0.880544 | − | 0.473965i | \(-0.842822\pi\) |
0.741529 | − | 0.670920i | \(-0.234101\pi\) | |||||||
\(468\) | −2.31260 | − | 0.0351845i | −0.106900 | − | 0.00162640i | ||||
\(469\) | −0.306656 | + | 2.52554i | −0.0141600 | + | 0.116618i | ||||
\(470\) | 10.9268 | − | 7.54224i | 0.504017 | − | 0.347898i | ||||
\(471\) | 7.84079 | − | 20.6745i | 0.361285 | − | 0.952629i | ||||
\(472\) | 0.0693423 | + | 0.571086i | 0.00319174 | + | 0.0262863i | ||||
\(473\) | −8.21128 | + | 15.6453i | −0.377555 | + | 0.719371i | ||||
\(474\) | −1.52404 | + | 1.72029i | −0.0700015 | + | 0.0790154i | ||||
\(475\) | −31.9587 | − | 22.0595i | −1.46636 | − | 1.01216i | ||||
\(476\) | −3.71539 | + | 2.56455i | −0.170294 | + | 0.117546i | ||||
\(477\) | 5.65263 | + | 2.96673i | 0.258816 | + | 0.135837i | ||||
\(478\) | −3.17404 | + | 26.1406i | −0.145177 | + | 1.19564i | ||||
\(479\) | 19.6571 | + | 13.5683i | 0.898155 | + | 0.619951i | 0.925116 | − | 0.379685i | \(-0.123968\pi\) |
−0.0269612 | + | 0.999636i | \(0.508583\pi\) | |||||||
\(480\) | −6.63176 | − | 9.60777i | −0.302697 | − | 0.438533i | ||||
\(481\) | −8.80895 | − | 6.28036i | −0.401654 | − | 0.286360i | ||||
\(482\) | −6.50756 | + | 9.42783i | −0.296411 | + | 0.429426i | ||||
\(483\) | 8.59862 | − | 3.26102i | 0.391251 | − | 0.148382i | ||||
\(484\) | 7.29408 | 0.331549 | ||||||||
\(485\) | −51.0348 | −2.31737 | ||||||||
\(486\) | 1.51965 | − | 0.576326i | 0.0689325 | − | 0.0261427i | ||||
\(487\) | −0.408555 | − | 1.65757i | −0.0185134 | − | 0.0751118i | 0.960959 | − | 0.276692i | \(-0.0892383\pi\) |
−0.979472 | + | 0.201581i | \(0.935392\pi\) | |||||||
\(488\) | − | 6.42190i | − | 0.290706i | ||||||
\(489\) | −0.0767374 | + | 0.311336i | −0.00347018 | + | 0.0140791i | ||||
\(490\) | 11.2503 | − | 29.6645i | 0.508235 | − | 1.34010i | ||||
\(491\) | −15.8628 | − | 8.32546i | −0.715880 | − | 0.375723i | 0.0671196 | − | 0.997745i | \(-0.478619\pi\) |
−0.783000 | + | 0.622022i | \(0.786311\pi\) | |||||||
\(492\) | 4.09776 | + | 1.55408i | 0.184741 | + | 0.0700632i | ||||
\(493\) | −27.7293 | − | 14.5535i | −1.24887 | − | 0.655456i | ||||
\(494\) | −36.2554 | + | 8.35324i | −1.63121 | + | 0.375830i | ||||
\(495\) | −13.9633 | + | 7.32849i | −0.627603 | + | 0.329391i | ||||
\(496\) | 46.0032 | − | 5.58579i | 2.06560 | − | 0.250810i | ||||
\(497\) | 3.84822 | + | 10.1469i | 0.172616 | + | 0.455152i | ||||
\(498\) | 2.31634 | − | 19.0768i | 0.103798 | − | 0.854852i | ||||
\(499\) | 0.0732316 | + | 0.0277731i | 0.00327830 | + | 0.00124329i | 0.356243 | − | 0.934393i | \(-0.384057\pi\) |
−0.352965 | + | 0.935636i | \(0.614827\pi\) | |||||||
\(500\) | 2.23229 | + | 0.846597i | 0.0998311 | + | 0.0378610i | ||||
\(501\) | 6.65686 | − | 4.59490i | 0.297406 | − | 0.205285i | ||||
\(502\) | −9.94821 | − | 18.9547i | −0.444010 | − | 0.845991i | ||||
\(503\) | 12.2680 | + | 3.02379i | 0.547002 | + | 0.134824i | 0.503126 | − | 0.864213i | \(-0.332183\pi\) |
0.0438763 | + | 0.999037i | \(0.486029\pi\) | |||||||
\(504\) | −1.76857 | + | 1.56682i | −0.0787785 | + | 0.0697917i | ||||
\(505\) | −40.8426 | − | 4.95919i | −1.81747 | − | 0.220681i | ||||
\(506\) | 66.0601 | 2.93673 | ||||||||
\(507\) | −1.95885 | + | 12.8516i | −0.0869954 | + | 0.570758i | ||||
\(508\) | −0.830677 | −0.0368553 | ||||||||
\(509\) | 10.2338 | + | 1.24261i | 0.453606 | + | 0.0550777i | 0.344151 | − | 0.938914i | \(-0.388167\pi\) |
0.109454 | + | 0.993992i | \(0.465090\pi\) | |||||||
\(510\) | 26.6747 | − | 23.6317i | 1.18118 | − | 1.04643i | ||||
\(511\) | −6.99899 | − | 1.72510i | −0.309617 | − | 0.0763138i | ||||
\(512\) | 2.07018 | + | 3.94440i | 0.0914899 | + | 0.174319i | ||||
\(513\) | 5.22518 | − | 3.60668i | 0.230697 | − | 0.159239i | ||||
\(514\) | −18.8432 | − | 7.14630i | −0.831140 | − | 0.315210i | ||||
\(515\) | −5.22493 | − | 1.98156i | −0.230238 | − | 0.0873178i | ||||
\(516\) | −0.288851 | + | 2.37891i | −0.0127160 | + | 0.104725i | ||||
\(517\) | −4.10946 | − | 10.8358i | −0.180734 | − | 0.476556i | ||||
\(518\) | 5.18055 | − | 0.629033i | 0.227620 | − | 0.0276381i | ||||
\(519\) | −11.2613 | + | 5.91040i | −0.494317 | + | 0.259438i | ||||
\(520\) | −23.6872 | + | 11.9760i | −1.03875 | + | 0.525181i | ||||
\(521\) | 7.67921 | + | 4.03036i | 0.336432 | + | 0.176573i | 0.624476 | − | 0.781044i | \(-0.285313\pi\) |
−0.288044 | + | 0.957617i | \(0.593005\pi\) | |||||||
\(522\) | 7.23629 | + | 2.74436i | 0.316724 | + | 0.120118i | ||||
\(523\) | 25.5471 | + | 13.4081i | 1.11709 | + | 0.586297i | 0.919147 | − | 0.393916i | \(-0.128880\pi\) |
0.197948 | + | 0.980212i | \(0.436572\pi\) | |||||||
\(524\) | −1.35353 | + | 3.56897i | −0.0591294 | + | 0.155911i | ||||
\(525\) | 1.56636 | − | 6.35499i | 0.0683617 | − | 0.277354i | ||||
\(526\) | − | 6.15590i | − | 0.268410i | ||||||
\(527\) | 14.9719 | + | 60.7433i | 0.652186 | + | 2.64602i | ||||
\(528\) | −21.5436 | + | 8.17042i | −0.937566 | + | 0.355572i | ||||
\(529\) | 50.8499 | 2.21087 | ||||||||
\(530\) | −34.5928 | −1.50262 | ||||||||
\(531\) | 0.243617 | − | 0.0923917i | 0.0105721 | − | 0.00400946i | ||||
\(532\) | 2.47583 | − | 3.58687i | 0.107341 | − | 0.155510i | ||||
\(533\) | 11.7781 | − | 21.6349i | 0.510165 | − | 0.937111i | ||||
\(534\) | 5.93429 | + | 8.59731i | 0.256802 | + | 0.372042i | ||||
\(535\) | −52.2328 | − | 36.0537i | −2.25822 | − | 1.55874i | ||||
\(536\) | 0.632715 | − | 5.21087i | 0.0273291 | − | 0.225075i | ||||
\(537\) | −8.08047 | − | 4.24096i | −0.348698 | − | 0.183011i | ||||
\(538\) | 0.516529 | − | 0.356534i | 0.0222692 | − | 0.0153713i | ||||
\(539\) | −22.7901 | − | 15.7309i | −0.981640 | − | 0.677577i | ||||
\(540\) | −1.41825 | + | 1.60087i | −0.0610318 | + | 0.0688907i | ||||
\(541\) | −18.0472 | + | 34.3861i | −0.775910 | + | 1.47837i | 0.0995231 | + | 0.995035i | \(0.468268\pi\) |
−0.875434 | + | 0.483339i | \(0.839424\pi\) | |||||||
\(542\) | 0.856175 | + | 7.05124i | 0.0367759 | + | 0.302877i | ||||
\(543\) | 1.03209 | − | 2.72140i | 0.0442913 | − | 0.116786i | ||||
\(544\) | 18.9514 | − | 13.0812i | 0.812535 | − | 0.560853i | ||||
\(545\) | 7.36611 | − | 60.6653i | 0.315529 | − | 2.59862i | ||||
\(546\) | −3.48335 | − | 5.21444i | −0.149074 | − | 0.223157i | ||||
\(547\) | −0.0967590 | − | 0.796882i | −0.00413712 | − | 0.0340722i | 0.990494 | − | 0.137555i | \(-0.0439244\pi\) |
−0.994631 | + | 0.103483i | \(0.967001\pi\) | |||||||
\(548\) | 5.57729 | + | 6.29546i | 0.238250 | + | 0.268929i | ||||
\(549\) | −2.82401 | + | 0.696056i | −0.120526 | + | 0.0297069i | ||||
\(550\) | 26.7085 | − | 38.6939i | 1.13885 | − | 1.64991i | ||||
\(551\) | 30.0127 | + | 3.64420i | 1.27859 | + | 0.155248i | ||||
\(552\) | −17.7413 | + | 6.72838i | −0.755119 | + | 0.286379i | ||||
\(553\) | −1.50223 | − | 0.182403i | −0.0638812 | − | 0.00775658i | ||||
\(554\) | 5.51176 | + | 22.3621i | 0.234172 | + | 0.950075i | ||||
\(555\) | −9.71336 | + | 2.39413i | −0.412309 | + | 0.101625i | ||||
\(556\) | −3.63183 | − | 3.21752i | −0.154024 | − | 0.136453i | ||||
\(557\) | −14.3994 | + | 16.2536i | −0.610123 | + | 0.688687i | −0.969664 | − | 0.244443i | \(-0.921395\pi\) |
0.359540 | + | 0.933130i | \(0.382933\pi\) | |||||||
\(558\) | −5.48245 | − | 14.4560i | −0.232091 | − | 0.611972i | ||||
\(559\) | 13.0274 | + | 3.42201i | 0.551001 | + | 0.144735i | ||||
\(560\) | 6.16336 | − | 16.2515i | 0.260450 | − | 0.686749i | ||||
\(561\) | −14.4555 | − | 27.5427i | −0.610313 | − | 1.16285i | ||||
\(562\) | 18.8469 | + | 27.3044i | 0.795008 | + | 1.15177i | ||||
\(563\) | −20.1835 | − | 17.8810i | −0.850634 | − | 0.753596i | 0.120352 | − | 0.992731i | \(-0.461598\pi\) |
−0.970986 | + | 0.239135i | \(0.923136\pi\) | |||||||
\(564\) | −1.04225 | − | 1.17646i | −0.0438868 | − | 0.0495379i | ||||
\(565\) | −7.76915 | + | 31.5207i | −0.326851 | + | 1.32609i | ||||
\(566\) | 16.3053 | + | 31.0672i | 0.685365 | + | 1.30585i | ||||
\(567\) | 0.880695 | + | 0.607900i | 0.0369857 | + | 0.0255294i | ||||
\(568\) | −7.93994 | − | 20.9359i | −0.333152 | − | 0.878451i | ||||
\(569\) | −18.4385 | + | 9.67726i | −0.772981 | + | 0.405692i | −0.804607 | − | 0.593808i | \(-0.797624\pi\) |
0.0316254 | + | 0.999500i | \(0.489932\pi\) | |||||||
\(570\) | −15.9885 | + | 30.4635i | −0.669684 | + | 1.27598i | ||||
\(571\) | 18.3510 | + | 16.2575i | 0.767964 | + | 0.680357i | 0.953201 | − | 0.302337i | \(-0.0977668\pi\) |
−0.185237 | + | 0.982694i | \(0.559305\pi\) | |||||||
\(572\) | −2.45608 | − | 10.6601i | −0.102694 | − | 0.445720i | ||||
\(573\) | 4.42576 | − | 3.92088i | 0.184889 | − | 0.163797i | ||||
\(574\) | 2.84365 | + | 11.5372i | 0.118692 | + | 0.481552i | ||||
\(575\) | 29.8580 | − | 43.2567i | 1.24516 | − | 1.80393i | ||||
\(576\) | 3.03304 | − | 2.68704i | 0.126377 | − | 0.111960i | ||||
\(577\) | 2.38394i | 0.0992445i | 0.998768 | + | 0.0496223i | \(0.0158017\pi\) | ||||
−0.998768 | + | 0.0496223i | \(0.984198\pi\) | |||||||
\(578\) | 28.2921 | + | 31.9352i | 1.17680 | + | 1.32833i | ||||
\(579\) | 2.85009 | − | 5.43038i | 0.118445 | − | 0.225679i | ||||
\(580\) | −10.1101 | + | 1.22759i | −0.419799 | + | 0.0509728i | ||||
\(581\) | 11.2037 | − | 5.88016i | 0.464808 | − | 0.243950i | ||||
\(582\) | 2.99867 | + | 24.6963i | 0.124299 | + | 1.02369i | ||||
\(583\) | −7.22595 | + | 29.3168i | −0.299268 | + | 1.21418i | ||||
\(584\) | 14.4408 | + | 3.55934i | 0.597566 | + | 0.147287i | ||||
\(585\) | 7.83379 | + | 9.11830i | 0.323887 | + | 0.376995i | ||||
\(586\) | −2.46199 | + | 0.606826i | −0.101704 | + | 0.0250677i | ||||
\(587\) | − | 3.45848i | − | 0.142747i | −0.997450 | − | 0.0713734i | \(-0.977262\pi\) | ||
0.997450 | − | 0.0713734i | \(-0.0227382\pi\) | |||||||
\(588\) | −3.64659 | − | 0.898805i | −0.150383 | − | 0.0370661i | ||||
\(589\) | −34.3095 | − | 49.7059i | −1.41370 | − | 2.04810i | ||||
\(590\) | −0.936236 | + | 1.05679i | −0.0385442 | + | 0.0435074i | ||||
\(591\) | −24.0014 | + | 2.91430i | −0.987285 | + | 0.119878i | ||||
\(592\) | −14.5103 | + | 1.76187i | −0.596371 | + | 0.0724126i | ||||
\(593\) | −12.6018 | + | 14.2245i | −0.517495 | + | 0.584131i | −0.947925 | − | 0.318493i | \(-0.896823\pi\) |
0.430431 | + | 0.902624i | \(0.358362\pi\) | |||||||
\(594\) | 4.36678 | + | 6.32638i | 0.179171 | + | 0.259575i | ||||
\(595\) | 22.7827 | + | 5.61544i | 0.934001 | + | 0.230211i | ||||
\(596\) | − | 2.13941i | − | 0.0876337i | ||||||
\(597\) | 8.37750 | − | 2.06487i | 0.342868 | − | 0.0845094i | ||||
\(598\) | −11.3063 | − | 49.0725i | −0.462349 | − | 2.00673i | ||||
\(599\) | 21.9100 | + | 5.40034i | 0.895220 | + | 0.220652i | 0.659978 | − | 0.751285i | \(-0.270566\pi\) |
0.235242 | + | 0.971937i | \(0.424412\pi\) | |||||||
\(600\) | −3.23184 | + | 13.1121i | −0.131939 | + | 0.535298i | ||||
\(601\) | −1.50593 | − | 12.4024i | −0.0614280 | − | 0.505905i | −0.990655 | − | 0.136395i | \(-0.956448\pi\) |
0.929227 | − | 0.369510i | \(-0.120475\pi\) | |||||||
\(602\) | −5.75308 | + | 3.01945i | −0.234478 | + | 0.123063i | ||||
\(603\) | −2.36004 | + | 0.286561i | −0.0961083 | + | 0.0116697i | ||||
\(604\) | −5.90116 | + | 11.2437i | −0.240115 | + | 0.457501i | ||||
\(605\) | −25.1399 | − | 28.3771i | −1.02208 | − | 1.15369i | ||||
\(606\) | 20.0556i | 0.814702i | ||||||||
\(607\) | 0.496947 | − | 0.440256i | 0.0201704 | − | 0.0178695i | −0.652977 | − | 0.757378i | \(-0.726480\pi\) |
0.673148 | + | 0.739508i | \(0.264942\pi\) | |||||||
\(608\) | −12.6287 | + | 18.2959i | −0.512162 | + | 0.741995i | ||||
\(609\) | 1.21949 | + | 4.94768i | 0.0494163 | + | 0.200490i | ||||
\(610\) | 11.7971 | − | 10.4513i | 0.477649 | − | 0.423160i | ||||
\(611\) | −7.34597 | + | 4.90726i | −0.297186 | + | 0.198527i | ||||
\(612\) | −3.15774 | − | 2.79751i | −0.127644 | − | 0.113083i | ||||
\(613\) | 9.82857 | − | 18.7268i | 0.396972 | − | 0.756368i | −0.602144 | − | 0.798387i | \(-0.705687\pi\) |
0.999117 | + | 0.0420196i | \(0.0133792\pi\) | |||||||
\(614\) | −1.52946 | + | 0.802720i | −0.0617238 | + | 0.0323952i | ||||
\(615\) | −8.07742 | − | 21.2984i | −0.325713 | − | 0.858834i | ||||
\(616\) | −9.19723 | − | 6.34839i | −0.370567 | − | 0.255784i | ||||
\(617\) | 8.31507 | + | 15.8430i | 0.334752 | + | 0.637817i | 0.993409 | − | 0.114627i | \(-0.0365673\pi\) |
−0.658657 | + | 0.752444i | \(0.728875\pi\) | |||||||
\(618\) | −0.651893 | + | 2.64483i | −0.0262230 | + | 0.106391i | ||||
\(619\) | −8.20847 | − | 9.26545i | −0.329926 | − | 0.372410i | 0.560017 | − | 0.828481i | \(-0.310795\pi\) |
−0.889943 | + | 0.456071i | \(0.849256\pi\) | |||||||
\(620\) | 15.2287 | + | 13.4915i | 0.611601 | + | 0.541831i | ||||
\(621\) | 4.88172 | + | 7.07239i | 0.195897 | + | 0.283805i | ||||
\(622\) | −10.5338 | − | 20.0704i | −0.422365 | − | 0.804750i | ||||
\(623\) | −2.43909 | + | 6.43134i | −0.0977199 | + | 0.257666i | ||||
\(624\) | 9.75661 | + | 14.6052i | 0.390577 | + | 0.584678i | ||||
\(625\) | 6.44407 | + | 16.9916i | 0.257763 | + | 0.679664i | ||||
\(626\) | −29.8965 | + | 33.7462i | −1.19490 | + | 1.34877i | ||||
\(627\) | 22.4775 | + | 19.9134i | 0.897666 | + | 0.795263i | ||||
\(628\) | 13.7717 | − | 3.39442i | 0.549551 | − | 0.135452i | ||||
\(629\) | −4.72244 | − | 19.1597i | −0.188296 | − | 0.763947i | ||||
\(630\) | −5.75651 | − | 0.698967i | −0.229345 | − | 0.0278475i | ||||
\(631\) | 19.5705 | − | 7.42213i | 0.779091 | − | 0.295470i | 0.0671810 | − | 0.997741i | \(-0.478600\pi\) |
0.711910 | + | 0.702270i | \(0.247830\pi\) | |||||||
\(632\) | 3.09951 | + | 0.376348i | 0.123292 | + | 0.0149703i | ||||
\(633\) | −10.0932 | + | 14.6225i | −0.401168 | + | 0.581192i | ||||
\(634\) | 3.17452 | − | 0.782449i | 0.126076 | − | 0.0310750i | ||||
\(635\) | 2.86303 | + | 3.23170i | 0.113616 | + | 0.128246i | ||||
\(636\) | 0.493608 | + | 4.06523i | 0.0195728 | + | 0.161197i | ||||
\(637\) | −7.78507 | + | 19.6219i | −0.308456 | + | 0.777450i | ||||
\(638\) | −4.41222 | + | 36.3379i | −0.174681 | + | 1.43863i | ||||
\(639\) | −8.34589 | + | 5.76075i | −0.330158 | + | 0.227892i | ||||
\(640\) | −16.0658 | + | 42.3620i | −0.635056 | + | 1.67450i | ||||
\(641\) | 0.450225 | + | 3.70794i | 0.0177828 | + | 0.146455i | 0.998896 | − | 0.0469809i | \(-0.0149600\pi\) |
−0.981113 | + | 0.193436i | \(0.938037\pi\) | |||||||
\(642\) | −14.3777 | + | 27.3944i | −0.567443 | + | 1.08117i | ||||
\(643\) | 0.802422 | − | 0.905748i | 0.0316445 | − | 0.0357192i | −0.732475 | − | 0.680793i | \(-0.761635\pi\) |
0.764120 | + | 0.645074i | \(0.223174\pi\) | |||||||
\(644\) | 4.85490 | + | 3.35110i | 0.191310 | + | 0.132052i | ||||
\(645\) | 10.2505 | − | 7.07543i | 0.403614 | − | 0.278595i | ||||
\(646\) | −60.0896 | − | 31.5374i | −2.36419 | − | 1.24082i | ||||
\(647\) | −3.45241 | + | 28.4331i | −0.135728 | + | 1.11782i | 0.752556 | + | 0.658528i | \(0.228821\pi\) |
−0.888284 | + | 0.459294i | \(0.848102\pi\) | |||||||
\(648\) | −1.81711 | − | 1.25426i | −0.0713830 | − | 0.0492721i | ||||
\(649\) | 0.700047 | + | 1.01419i | 0.0274792 | + | 0.0398105i | ||||
\(650\) | −33.3149 | − | 13.2178i | −1.30672 | − | 0.518444i | ||||
\(651\) | 5.78281 | − | 8.37784i | 0.226646 | − | 0.328354i | ||||
\(652\) | −0.192324 | + | 0.0729390i | −0.00753201 | + | 0.00285651i | ||||
\(653\) | −6.91537 | −0.270619 | −0.135310 | − | 0.990803i | \(-0.543203\pi\) | ||||
−0.135310 | + | 0.990803i | \(0.543203\pi\) | |||||||
\(654\) | −29.7894 | −1.16486 | ||||||||
\(655\) | 18.5500 | − | 7.03508i | 0.724808 | − | 0.274883i | ||||
\(656\) | −7.96486 | − | 32.3147i | −0.310976 | − | 1.26168i | ||||
\(657\) | − | 6.73609i | − | 0.262800i | ||||||
\(658\) | 1.01983 | − | 4.13762i | 0.0397572 | − | 0.161301i | ||||
\(659\) | −8.12451 | + | 21.4226i | −0.316486 | + | 0.834505i | 0.678510 | + | 0.734591i | \(0.262626\pi\) |
−0.994996 | + | 0.0999138i | \(0.968143\pi\) | |||||||
\(660\) | −8.95709 | − | 4.70104i | −0.348654 | − | 0.182988i | ||||
\(661\) | −13.7233 | − | 5.20455i | −0.533774 | − | 0.202434i | 0.0729658 | − | 0.997334i | \(-0.476754\pi\) |
−0.606739 | + | 0.794901i | \(0.707523\pi\) | |||||||
\(662\) | 15.4669 | + | 8.11765i | 0.601138 | + | 0.315502i | ||||
\(663\) | −17.9859 | + | 15.4522i | −0.698516 | + | 0.600115i | ||||
\(664\) | −23.1163 | + | 12.1324i | −0.897087 | + | 0.470827i | ||||
\(665\) | −22.4877 | + | 2.73051i | −0.872037 | + | 0.105884i | ||||
\(666\) | 1.72928 | + | 4.55973i | 0.0670081 | + | 0.176686i | ||||
\(667\) | −4.93251 | + | 40.6229i | −0.190988 | + | 1.57292i | ||||
\(668\) | 4.85151 | + | 1.83993i | 0.187710 | + | 0.0711892i | ||||
\(669\) | 5.41651 | + | 2.05421i | 0.209414 | + | 0.0794204i | ||||
\(670\) | 10.6021 | − | 7.31810i | 0.409595 | − | 0.282723i | ||||
\(671\) | −6.39305 | − | 12.1809i | −0.246801 | − | 0.470240i | ||||
\(672\) | −3.63814 | − | 0.896720i | −0.140344 | − | 0.0345917i | ||||
\(673\) | 25.2847 | − | 22.4003i | 0.974655 | − | 0.863469i | −0.0159988 | − | 0.999872i | \(-0.505093\pi\) |
0.990653 | + | 0.136403i | \(0.0435543\pi\) | |||||||
\(674\) | 2.87873 | + | 0.349542i | 0.110885 | + | 0.0134638i | ||||
\(675\) | 6.11628 | 0.235416 | ||||||||
\(676\) | −7.49845 | + | 3.64898i | −0.288402 | + | 0.140345i | ||||
\(677\) | −30.9158 | −1.18819 | −0.594096 | − | 0.804394i | \(-0.702490\pi\) | ||||
−0.594096 | + | 0.804394i | \(0.702490\pi\) | |||||||
\(678\) | 15.7097 | + | 1.90750i | 0.603328 | + | 0.0732572i | ||||
\(679\) | −12.2608 | + | 10.8621i | −0.470526 | + | 0.416850i | ||||
\(680\) | −47.0070 | − | 11.5862i | −1.80264 | − | 0.444310i | ||||
\(681\) | −9.91649 | − | 18.8943i | −0.380001 | − | 0.724031i | ||||
\(682\) | 60.1813 | − | 41.5402i | 2.30446 | − | 1.59066i | ||||
\(683\) | −7.39741 | − | 2.80547i | −0.283054 | − | 0.107348i | 0.208992 | − | 0.977917i | \(-0.432982\pi\) |
−0.492046 | + | 0.870569i | \(0.663751\pi\) | |||||||
\(684\) | 3.80810 | + | 1.44422i | 0.145606 | + | 0.0552212i | ||||
\(685\) | 5.26925 | − | 43.3962i | 0.201328 | − | 1.65808i | ||||
\(686\) | −7.92809 | − | 20.9047i | −0.302696 | − | 0.798144i | ||||
\(687\) | 18.0968 | − | 2.19735i | 0.690436 | − | 0.0838341i | ||||
\(688\) | 16.1139 | − | 8.45725i | 0.614338 | − | 0.322430i | ||||
\(689\) | 23.0147 | + | 0.350151i | 0.876789 | + | 0.0133397i | ||||
\(690\) | −41.2330 | − | 21.6408i | −1.56971 | − | 0.823849i | ||||
\(691\) | 22.8385 | + | 8.66152i | 0.868819 | + | 0.329500i | 0.748419 | − | 0.663226i | \(-0.230813\pi\) |
0.120400 | + | 0.992725i | \(0.461582\pi\) | |||||||
\(692\) | −7.22386 | − | 3.79137i | −0.274610 | − | 0.144126i | ||||
\(693\) | −1.79482 | + | 4.73254i | −0.0681794 | + | 0.179774i | ||||
\(694\) | −5.22465 | + | 21.1972i | −0.198325 | + | 0.804636i | ||||
\(695\) | 25.2190i | 0.956611i | ||||||||
\(696\) | −2.51615 | − | 10.2084i | −0.0953742 | − | 0.386949i | ||||
\(697\) | 42.0113 | − | 15.9328i | 1.59129 | − | 0.603497i | ||||
\(698\) | −2.77919 | −0.105194 | ||||||||
\(699\) | −5.01755 | −0.189781 | ||||||||
\(700\) | 3.92573 | − | 1.48883i | 0.148379 | − | 0.0562726i | ||||
\(701\) | 15.6444 | − | 22.6649i | 0.590882 | − | 0.856041i | −0.407482 | − | 0.913213i | \(-0.633593\pi\) |
0.998364 | + | 0.0571723i | \(0.0182084\pi\) | |||||||
\(702\) | 3.95215 | − | 4.32662i | 0.149164 | − | 0.163298i | ||||
\(703\) | 10.8219 | + | 15.6782i | 0.408156 | + | 0.591316i | ||||
\(704\) | 15.7729 | + | 10.8873i | 0.594465 | + | 0.410329i | ||||
\(705\) | −0.984688 | + | 8.10963i | −0.0370855 | + | 0.305426i | ||||
\(706\) | −27.9610 | − | 14.6751i | −1.05233 | − | 0.552304i | ||||
\(707\) | −10.8677 | + | 7.50143i | −0.408722 | + | 0.282120i | ||||
\(708\) | 0.137550 | + | 0.0949436i | 0.00516943 | + | 0.00356820i | ||||
\(709\) | −12.1372 | + | 13.7000i | −0.455821 | + | 0.514516i | −0.930824 | − | 0.365469i | \(-0.880909\pi\) |
0.475003 | + | 0.879984i | \(0.342447\pi\) | |||||||
\(710\) | 25.5375 | − | 48.6577i | 0.958406 | − | 1.82609i | ||||
\(711\) | −0.170451 | − | 1.40379i | −0.00639240 | − | 0.0526462i | ||||
\(712\) | 5.03250 | − | 13.2696i | 0.188601 | − | 0.497300i | ||||
\(713\) | 67.2780 | − | 46.4386i | 2.51958 | − | 1.73914i | ||||
\(714\) | 1.37872 | − | 11.3548i | 0.0515972 | − | 0.424942i | ||||
\(715\) | −33.0072 | + | 46.2965i | −1.23440 | + | 1.73139i | ||||
\(716\) | −0.705616 | − | 5.81127i | −0.0263701 | − | 0.217178i | ||||
\(717\) | −10.7439 | − | 12.1274i | −0.401240 | − | 0.452906i | ||||
\(718\) | 29.5381 | − | 7.28048i | 1.10235 | − | 0.271705i | ||||
\(719\) | −19.2164 | + | 27.8398i | −0.716652 | + | 1.03825i | 0.280276 | + | 0.959920i | \(0.409574\pi\) |
−0.996928 | + | 0.0783298i | \(0.975041\pi\) | |||||||
\(720\) | 16.1236 | + | 1.95775i | 0.600889 | + | 0.0729612i | ||||
\(721\) | −1.67701 | + | 0.636005i | −0.0624551 | + | 0.0236861i | ||||
\(722\) | 34.3828 | + | 4.17483i | 1.27960 | + | 0.155371i | ||||
\(723\) | −1.68682 | − | 6.84369i | −0.0627334 | − | 0.254520i | ||||
\(724\) | 1.81278 | − | 0.446811i | 0.0673716 | − | 0.0166056i | ||||
\(725\) | 21.8001 | + | 19.3132i | 0.809636 | + | 0.717275i | ||||
\(726\) | −12.2548 | + | 13.8329i | −0.454820 | + | 0.513386i | ||||
\(727\) | −9.31031 | − | 24.5493i | −0.345300 | − | 0.910482i | −0.989358 | − | 0.145505i | \(-0.953519\pi\) |
0.644057 | − | 0.764977i | \(-0.277250\pi\) | |||||||
\(728\) | −3.14176 | + | 7.91868i | −0.116441 | + | 0.293486i | ||||
\(729\) | −0.354605 | + | 0.935016i | −0.0131335 | + | 0.0346302i | ||||
\(730\) | 16.9631 | + | 32.3205i | 0.627832 | + | 1.19623i | ||||
\(731\) | 13.9564 | + | 20.2193i | 0.516195 | + | 0.747837i | ||||
\(732\) | −1.39653 | − | 1.23722i | −0.0516173 | − | 0.0457289i | ||||
\(733\) | 31.6497 | + | 35.7251i | 1.16901 | + | 1.31954i | 0.938020 | + | 0.346582i | \(0.112658\pi\) |
0.230990 | + | 0.972956i | \(0.425804\pi\) | |||||||
\(734\) | −2.48022 | + | 10.0626i | −0.0915465 | + | 0.371419i | ||||
\(735\) | 9.07170 | + | 17.2847i | 0.334615 | + | 0.637555i | ||||
\(736\) | −24.7638 | − | 17.0932i | −0.912807 | − | 0.630065i | ||||
\(737\) | −3.98734 | − | 10.5137i | −0.146875 | − | 0.387279i | ||||
\(738\) | −9.83192 | + | 5.16019i | −0.361918 | + | 0.189949i | ||||
\(739\) | −2.68955 | + | 5.12450i | −0.0989365 | + | 0.188508i | −0.929893 | − | 0.367829i | \(-0.880101\pi\) |
0.830957 | + | 0.556337i | \(0.187794\pi\) | |||||||
\(740\) | −4.80346 | − | 4.25549i | −0.176579 | − | 0.156435i | ||||
\(741\) | 10.9455 | − | 20.1056i | 0.402093 | − | 0.738597i | ||||
\(742\) | −8.31072 | + | 7.36266i | −0.305096 | + | 0.270292i | ||||
\(743\) | 2.14702 | + | 8.71082i | 0.0787666 | + | 0.319569i | 0.997087 | − | 0.0762684i | \(-0.0243006\pi\) |
−0.918321 | + | 0.395837i | \(0.870454\pi\) | |||||||
\(744\) | −11.9315 | + | 17.2858i | −0.437430 | + | 0.633727i | ||||
\(745\) | −8.32324 | + | 7.37375i | −0.304940 | + | 0.270153i | ||||
\(746\) | 1.12048i | 0.0410237i | ||||||||
\(747\) | 7.84069 | + | 8.85031i | 0.286876 | + | 0.323816i | ||||
\(748\) | 9.27286 | − | 17.6680i | 0.339049 | − | 0.646004i | ||||
\(749\) | −20.2222 | + | 2.45542i | −0.738903 | + | 0.0897190i | ||||
\(750\) | −5.35602 | + | 2.81106i | −0.195574 | + | 0.102645i | ||||
\(751\) | 1.29105 | + | 10.6328i | 0.0471113 | + | 0.387996i | 0.997124 | + | 0.0757854i | \(0.0241464\pi\) |
−0.950013 | + | 0.312211i | \(0.898931\pi\) | |||||||
\(752\) | −2.85647 | + | 11.5892i | −0.104165 | + | 0.422613i | ||||
\(753\) | 12.7885 | + | 3.15209i | 0.466040 | + | 0.114869i | ||||
\(754\) | 27.7486 | − | 2.94169i | 1.01055 | − | 0.107130i | ||||
\(755\) | 64.0821 | − | 15.7948i | 2.33218 | − | 0.574832i | ||||
\(756\) | 0.686458i | 0.0249662i | ||||||||
\(757\) | 11.8558 | + | 2.92218i | 0.430905 | + | 0.106209i | 0.448802 | − | 0.893631i | \(-0.351851\pi\) |
−0.0178969 | + | 0.999840i | \(0.505697\pi\) | |||||||
\(758\) | 5.36734 | + | 7.77593i | 0.194950 | + | 0.282434i | ||||
\(759\) | −26.9532 | + | 30.4238i | −0.978338 | + | 1.10431i | ||||
\(760\) | 46.3983 | − | 5.63378i | 1.68304 | − | 0.204359i | ||||
\(761\) | 22.6846 | − | 2.75441i | 0.822316 | − | 0.0998472i | 0.301446 | − | 0.953483i | \(-0.402531\pi\) |
0.520870 | + | 0.853636i | \(0.325608\pi\) | |||||||
\(762\) | 1.39563 | − | 1.57534i | 0.0505583 | − | 0.0570685i | ||||
\(763\) | −11.1422 | − | 16.1423i | −0.403375 | − | 0.584390i | ||||
\(764\) | 3.68267 | + | 0.907697i | 0.133234 | + | 0.0328393i | ||||
\(765\) | 21.9270i | 0.792771i | ||||||||
\(766\) | −58.8855 | + | 14.5140i | −2.12762 | + | 0.524411i | ||||
\(767\) | 0.633576 | − | 0.693608i | 0.0228771 | − | 0.0250447i | ||||
\(768\) | 13.5747 | + | 3.34586i | 0.489835 | + | 0.120733i | ||||
\(769\) | −2.93233 | + | 11.8969i | −0.105743 | + | 0.429015i | −0.999821 | − | 0.0188948i | \(-0.993985\pi\) |
0.894079 | + | 0.447910i | \(0.147831\pi\) | |||||||
\(770\) | −3.30596 | − | 27.2270i | −0.119138 | − | 0.981193i | ||||
\(771\) | 10.9794 | − | 5.76245i | 0.395415 | − | 0.207530i | ||||
\(772\) | 3.90540 | − | 0.474201i | 0.140558 | − | 0.0170669i | ||||
\(773\) | 10.1981 | − | 19.4309i | 0.366802 | − | 0.698882i | −0.630186 | − | 0.776444i | \(-0.717021\pi\) |
0.996988 | + | 0.0775621i | \(0.0247136\pi\) | |||||||
\(774\) | −4.02618 | − | 4.54461i | −0.144718 | − | 0.163353i | ||||
\(775\) | − | 58.1827i | − | 2.08998i | ||||||
\(776\) | 25.2974 | − | 22.4115i | 0.908123 | − | 0.804527i | ||||
\(777\) | −1.82402 | + | 2.64254i | −0.0654362 | + | 0.0948007i | ||||
\(778\) | −11.1940 | − | 45.4160i | −0.401326 | − | 1.62824i | ||||
\(779\) | −32.4680 | + | 28.7642i | −1.16329 | + | 1.03058i | ||||
\(780\) | −1.95914 | + | 7.45834i | −0.0701483 | + | 0.267052i | ||||
\(781\) | −35.9021 | − | 31.8065i | −1.28468 | − | 1.13813i | ||||
\(782\) | 42.6866 | − | 81.3325i | 1.52647 | − | 2.90844i | ||||
\(783\) | −4.21639 | + | 2.21293i | −0.150681 | + | 0.0790837i | ||||
\(784\) | 10.1139 | + | 26.6681i | 0.361211 | + | 0.952434i | ||||
\(785\) | −60.6717 | − | 41.8787i | −2.16547 | − | 1.49471i | ||||
\(786\) | −4.49430 | − | 8.56318i | −0.160306 | − | 0.305438i | ||||
\(787\) | −2.98568 | + | 12.1134i | −0.106428 | + | 0.431795i | −0.999848 | − | 0.0174270i | \(-0.994453\pi\) |
0.893420 | + | 0.449222i | \(0.148299\pi\) | |||||||
\(788\) | −10.2846 | − | 11.6089i | −0.366374 | − | 0.413551i | ||||
\(789\) | 2.83509 | + | 2.51167i | 0.100932 | + | 0.0894178i | ||||
\(790\) | 4.35292 | + | 6.30629i | 0.154870 | + | 0.224368i | ||||
\(791\) | 4.84230 | + | 9.22623i | 0.172172 | + | 0.328047i | ||||
\(792\) | 3.70319 | − | 9.76452i | 0.131587 | − | 0.346967i | ||||
\(793\) | −7.95439 | + | 6.83384i | −0.282469 | + | 0.242677i | ||||
\(794\) | −8.04690 | − | 21.2179i | −0.285574 | − | 0.752997i | ||||
\(795\) | 14.1142 | − | 15.9317i | 0.500580 | − | 0.565038i | ||||
\(796\) | 4.14285 | + | 3.67024i | 0.146839 | + | 0.130088i | ||||
\(797\) | 20.6505 | − | 5.08989i | 0.731478 | − | 0.180293i | 0.144051 | − | 0.989570i | \(-0.453987\pi\) |
0.587427 | + | 0.809277i | \(0.300141\pi\) | |||||||
\(798\) | 2.64264 | + | 10.7216i | 0.0935486 | + | 0.379541i | ||||
\(799\) | −15.9963 | − | 1.94231i | −0.565909 | − | 0.0687138i | ||||
\(800\) | −20.0243 | + | 7.59422i | −0.707967 | + | 0.268496i | ||||
\(801\) | −6.38072 | − | 0.774760i | −0.225452 | − | 0.0273748i | ||||
\(802\) | −28.3721 | + | 41.1040i | −1.00185 | + | 1.45143i | ||||
\(803\) | 30.9344 | − | 7.62465i | 1.09165 | − | 0.269068i | ||||
\(804\) | −1.01128 | − | 1.14150i | −0.0356651 | − | 0.0402575i | ||||
\(805\) | −3.69580 | − | 30.4376i | −0.130260 | − | 1.07279i | ||||
\(806\) | −41.1581 | − | 37.5959i | −1.44973 | − | 1.32426i | ||||
\(807\) | −0.0465479 | + | 0.383356i | −0.00163856 | + | 0.0134948i | ||||
\(808\) | 22.4230 | − | 15.4775i | 0.788839 | − | 0.544496i | ||||
\(809\) | 5.87442 | − | 15.4896i | 0.206533 | − | 0.544584i | −0.791223 | − | 0.611527i | \(-0.790555\pi\) |
0.997757 | + | 0.0669433i | \(0.0213247\pi\) | |||||||
\(810\) | −0.653164 | − | 5.37929i | −0.0229498 | − | 0.189009i | ||||
\(811\) | 13.3133 | − | 25.3663i | 0.467492 | − | 0.890731i | −0.531553 | − | 0.847025i | \(-0.678391\pi\) |
0.999044 | − | 0.0437058i | \(-0.0139164\pi\) | |||||||
\(812\) | −2.16761 | + | 2.44673i | −0.0760683 | + | 0.0858633i | ||||
\(813\) | −3.59676 | − | 2.48266i | −0.126144 | − | 0.0870708i | ||||
\(814\) | −18.9824 | + | 13.1026i | −0.665334 | + | 0.459247i | ||||
\(815\) | 0.946635 | + | 0.496832i | 0.0331592 | + | 0.0174033i | ||||
\(816\) | −3.86169 | + | 31.8039i | −0.135186 | + | 1.11336i | ||||
\(817\) | −19.5199 | − | 13.4736i | −0.682914 | − | 0.471381i | ||||
\(818\) | 11.4251 | + | 16.5521i | 0.399469 | + | 0.578730i | ||||
\(819\) | 3.82274 | + | 0.523291i | 0.133577 | + | 0.0182853i | ||||
\(820\) | 8.30052 | − | 12.0254i | 0.289867 | − | 0.419944i | ||||
\(821\) | −29.1884 | + | 11.0697i | −1.01868 | + | 0.386336i | −0.806715 | − | 0.590941i | \(-0.798757\pi\) |
−0.211969 | + | 0.977276i | \(0.567987\pi\) | |||||||
\(822\) | −21.3095 | −0.743254 | ||||||||
\(823\) | 11.7694 | 0.410254 | 0.205127 | − | 0.978735i | \(-0.434239\pi\) | ||||
0.205127 | + | 0.978735i | \(0.434239\pi\) | |||||||
\(824\) | 3.46013 | − | 1.31225i | 0.120539 | − | 0.0457145i | ||||
\(825\) | 6.92308 | + | 28.0880i | 0.241031 | + | 0.977899i | ||||
\(826\) | 0.453154i | 0.0157672i | ||||||||
\(827\) | 0.178335 | − | 0.723533i | 0.00620131 | − | 0.0251597i | −0.967760 | − | 0.251875i | \(-0.918953\pi\) |
0.973961 | + | 0.226716i | \(0.0727988\pi\) | |||||||
\(828\) | −1.95479 | + | 5.15435i | −0.0679335 | + | 0.179126i | ||||
\(829\) | 14.2817 | + | 7.49561i | 0.496024 | + | 0.260333i | 0.694133 | − | 0.719847i | \(-0.255788\pi\) |
−0.198109 | + | 0.980180i | \(0.563480\pi\) | |||||||
\(830\) | −59.9077 | − | 22.7200i | −2.07943 | − | 0.788622i | ||||
\(831\) | −12.5477 | − | 6.58553i | −0.435274 | − | 0.228449i | ||||
\(832\) | 5.38801 | − | 13.5802i | 0.186796 | − | 0.470810i | ||||
\(833\) | −34.0942 | + | 17.8940i | −1.18129 | + | 0.619991i | ||||
\(834\) | 12.2038 | − | 1.48180i | 0.422581 | − | 0.0513107i | ||||
\(835\) | −9.56318 | − | 25.2160i | −0.330948 | − | 0.872637i | ||||
\(836\) | −2.32193 | + | 19.1228i | −0.0803057 | + | 0.661377i | ||||
\(837\) | 8.89459 | + | 3.37327i | 0.307442 | + | 0.116597i | ||||
\(838\) | −3.67579 | − | 1.39404i | −0.126978 | − | 0.0481565i | ||||
\(839\) | −24.8669 | + | 17.1643i | −0.858499 | + | 0.592579i | −0.913925 | − | 0.405884i | \(-0.866964\pi\) |
0.0554257 | + | 0.998463i | \(0.482348\pi\) | |||||||
\(840\) | 3.66100 | + | 6.97544i | 0.126316 | + | 0.240676i | ||||
\(841\) | 6.14120 | + | 1.51367i | 0.211766 | + | 0.0521955i | ||||
\(842\) | 11.1328 | − | 9.86279i | 0.383661 | − | 0.339894i | ||||
\(843\) | −20.2647 | − | 2.46058i | −0.697954 | − | 0.0847470i | ||||
\(844\) | −11.3975 | −0.392318 | ||||||||
\(845\) | 40.0405 | + | 16.5956i | 1.37743 | + | 0.570904i | ||||
\(846\) | 3.98220 | 0.136911 | ||||||||
\(847\) | −12.0794 | − | 1.46671i | −0.415055 | − | 0.0503968i | ||||
\(848\) | 23.2777 | − | 20.6223i | 0.799360 | − | 0.708171i | ||||
\(849\) | −20.9607 | − | 5.16635i | −0.719369 | − | 0.177309i | ||||
\(850\) | −30.3811 | − | 57.8864i | −1.04206 | − | 1.98549i | ||||
\(851\) | −21.2209 | + | 14.6477i | −0.727441 | + | 0.502117i | ||||
\(852\) | −6.08247 | − | 2.30678i | −0.208382 | − | 0.0790289i | ||||
\(853\) | −29.8196 | − | 11.3091i | −1.02100 | − | 0.387216i | −0.213415 | − | 0.976962i | \(-0.568459\pi\) |
−0.807589 | + | 0.589746i | \(0.799228\pi\) | |||||||
\(854\) | 0.609747 | − | 5.02172i | 0.0208651 | − | 0.171840i | ||||
\(855\) | −7.50644 | − | 19.7929i | −0.256715 | − | 0.676902i | ||||
\(856\) | 41.7239 | − | 5.06620i | 1.42609 | − | 0.173159i | ||||
\(857\) | 21.0465 | − | 11.0460i | 0.718933 | − | 0.377325i | −0.0652379 | − | 0.997870i | \(-0.520781\pi\) |
0.784171 | + | 0.620544i | \(0.213088\pi\) | |||||||
\(858\) | 24.3428 | + | 13.2523i | 0.831050 | + | 0.452425i | ||||
\(859\) | −24.7695 | − | 13.0000i | −0.845124 | − | 0.443555i | −0.0141718 | − | 0.999900i | \(-0.504511\pi\) |
−0.830952 | + | 0.556345i | \(0.812203\pi\) | |||||||
\(860\) | 7.47058 | + | 2.83322i | 0.254745 | + | 0.0966119i | ||||
\(861\) | −6.47365 | − | 3.39763i | −0.220621 | − | 0.115791i | ||||
\(862\) | −23.3511 | + | 61.5717i | −0.795341 | + | 2.09714i | ||||
\(863\) | 4.38368 | − | 17.7853i | 0.149222 | − | 0.605419i | −0.847937 | − | 0.530097i | \(-0.822155\pi\) |
0.997159 | − | 0.0753217i | \(-0.0239984\pi\) | |||||||
\(864\) | − | 3.50148i | − | 0.119123i | ||||||
\(865\) | 10.1478 | + | 41.1714i | 0.345037 | + | 1.39987i | ||||
\(866\) | 9.69172 | − | 3.67558i | 0.329338 | − | 0.124901i | ||||
\(867\) | −26.2512 | −0.891536 | ||||||||
\(868\) | 6.53011 | 0.221646 | ||||||||
\(869\) | 6.25373 | − | 2.37173i | 0.212143 | − | 0.0804554i | ||||
\(870\) | 14.6580 | − | 21.2358i | 0.496952 | − | 0.719960i | ||||
\(871\) | −7.12767 | + | 4.76143i | −0.241512 | + | 0.161335i | ||||
\(872\) | 22.9894 | + | 33.3059i | 0.778520 | + | 1.12788i | ||||
\(873\) | −12.5973 | − | 8.69529i | −0.426354 | − | 0.294291i | ||||
\(874\) | −10.6888 | + | 88.0299i | −0.361553 | + | 2.97765i | ||||
\(875\) | −3.52658 | − | 1.85089i | −0.119220 | − | 0.0625715i | ||||
\(876\) | 3.55614 | − | 2.45463i | 0.120151 | − | 0.0829341i | ||||
\(877\) | 13.3187 | + | 9.19326i | 0.449742 | + | 0.310434i | 0.771319 | − | 0.636449i | \(-0.219597\pi\) |
−0.321577 | + | 0.946883i | \(0.604213\pi\) | |||||||
\(878\) | −13.7351 | + | 15.5038i | −0.463538 | + | 0.523227i | ||||
\(879\) | 0.725043 | − | 1.38145i | 0.0244551 | − | 0.0465953i | ||||
\(880\) | 9.25974 | + | 76.2608i | 0.312146 | + | 2.57075i | ||||
\(881\) | −14.1167 | + | 37.2227i | −0.475605 | + | 1.25407i | 0.455801 | + | 0.890082i | \(0.349353\pi\) |
−0.931405 | + | 0.363984i | \(0.881416\pi\) | |||||||
\(882\) | 7.83121 | − | 5.40550i | 0.263691 | − | 0.182013i | ||||
\(883\) | −3.88528 | + | 31.9981i | −0.130750 | + | 1.07682i | 0.768642 | + | 0.639680i | \(0.220933\pi\) |
−0.899392 | + | 0.437144i | \(0.855990\pi\) | |||||||
\(884\) | −14.7117 | − | 3.86441i | −0.494806 | − | 0.129974i | ||||
\(885\) | −0.104710 | − | 0.862363i | −0.00351978 | − | 0.0289880i | ||||
\(886\) | 20.4336 | + | 23.0648i | 0.686482 | + | 0.774878i | ||||
\(887\) | 47.3193 | − | 11.6632i | 1.58883 | − | 0.391610i | 0.656818 | − | 0.754049i | \(-0.271902\pi\) |
0.932008 | + | 0.362439i | \(0.118056\pi\) | |||||||
\(888\) | 3.76344 | − | 5.45229i | 0.126293 | − | 0.182967i | ||||
\(889\) | 1.37565 | + | 0.167034i | 0.0461379 | + | 0.00560216i | ||||
\(890\) | 32.5664 | − | 12.3508i | 1.09163 | − | 0.414000i | ||||
\(891\) | −4.69529 | − | 0.570112i | −0.157298 | − | 0.0190995i | ||||
\(892\) | 0.889306 | + | 3.60806i | 0.0297762 | + | 0.120807i | ||||
\(893\) | 15.1044 | − | 3.72289i | 0.505448 | − | 0.124582i | ||||
\(894\) | 4.05729 | + | 3.59444i | 0.135696 | + | 0.120216i | ||||
\(895\) | −20.1764 | + | 22.7744i | −0.674422 | + | 0.761265i | ||||
\(896\) | 5.15652 | + | 13.5966i | 0.172267 | + | 0.454231i | ||||
\(897\) | 27.2133 | + | 14.8150i | 0.908627 | + | 0.494658i | ||||
\(898\) | 1.82866 | − | 4.82179i | 0.0610233 | − | 0.160905i | ||||
\(899\) | 21.0511 | + | 40.1095i | 0.702093 | + | 1.33773i | ||||
\(900\) | 2.22877 | + | 3.22893i | 0.0742922 | + | 0.107631i | ||||
\(901\) | 31.4254 | + | 27.8404i | 1.04693 | + | 0.927499i | ||||
\(902\) | −34.8262 | − | 39.3106i | −1.15958 | − | 1.30890i | ||||
\(903\) | 0.956711 | − | 3.88153i | 0.0318374 | − | 0.129169i | ||||
\(904\) | −9.99098 | − | 19.0362i | −0.332295 | − | 0.633135i | ||||
\(905\) | −7.98628 | − | 5.51253i | −0.265473 | − | 0.183243i | ||||
\(906\) | −11.4086 | − | 30.0819i | −0.379025 | − | 0.999406i | ||||
\(907\) | −41.0168 | + | 21.5273i | −1.36194 | + | 0.714801i | −0.978009 | − | 0.208561i | \(-0.933122\pi\) |
−0.383931 | + | 0.923362i | \(0.625430\pi\) | |||||||
\(908\) | 6.36118 | − | 12.1202i | 0.211103 | − | 0.402223i | ||||
\(909\) | −9.23656 | − | 8.18287i | −0.306357 | − | 0.271409i | ||||
\(910\) | −19.6597 | + | 7.11577i | −0.651712 | + | 0.235885i | ||||
\(911\) | −26.7387 | + | 23.6884i | −0.885893 | + | 0.784833i | −0.977494 | − | 0.210963i | \(-0.932340\pi\) |
0.0916011 | + | 0.995796i | \(0.470802\pi\) | |||||||
\(912\) | −7.40185 | − | 30.0305i | −0.245100 | − | 0.994408i | ||||
\(913\) | −31.7687 | + | 46.0249i | −1.05139 | + | 1.52320i | ||||
\(914\) | 43.6865 | − | 38.7028i | 1.44502 | − | 1.28018i | ||||
\(915\) | 9.69734i | 0.320584i | ||||||||
\(916\) | 7.75450 | + | 8.75302i | 0.256216 | + | 0.289208i | ||||
\(917\) | 2.95919 | − | 5.63827i | 0.0977212 | − | 0.186192i | ||||
\(918\) | 10.6107 | − | 1.28837i | 0.350205 | − | 0.0425226i | ||||
\(919\) | 33.9209 | − | 17.8030i | 1.11895 | − | 0.587268i | 0.199270 | − | 0.979945i | \(-0.436143\pi\) |
0.919677 | + | 0.392676i | \(0.128451\pi\) | |||||||
\(920\) | 7.62544 | + | 62.8012i | 0.251403 | + | 2.07049i | ||||
\(921\) | 0.254342 | − | 1.03191i | 0.00838085 | − | 0.0340024i | ||||
\(922\) | −58.0027 | − | 14.2964i | −1.91022 | − | 0.470826i | ||||
\(923\) | −17.4827 | + | 32.1135i | −0.575449 | + | 1.05703i | ||||
\(924\) | −3.15245 | + | 0.777008i | −0.103708 | + | 0.0255617i | ||||
\(925\) | 18.3520i | 0.603410i | ||||||||
\(926\) | −16.8997 | − | 4.16539i | −0.555357 | − | 0.136883i | ||||
\(927\) | −0.952094 | − | 1.37935i | −0.0312709 | − | 0.0453037i | ||||
\(928\) | 11.0565 | − | 12.4802i | 0.362949 | − | 0.409684i | ||||
\(929\) | −0.522598 | + | 0.0634548i | −0.0171459 | + | 0.00208189i | −0.129105 | − | 0.991631i | \(-0.541210\pi\) |
0.111959 | + | 0.993713i | \(0.464287\pi\) | |||||||
\(930\) | −51.1719 | + | 6.21339i | −1.67799 | + | 0.203745i | ||||
\(931\) | 24.6501 | − | 27.8242i | 0.807874 | − | 0.911901i | ||||
\(932\) | −1.82839 | − | 2.64888i | −0.0598909 | − | 0.0867670i | ||||
\(933\) | 13.5413 | + | 3.33762i | 0.443321 | + | 0.109269i | ||||
\(934\) | 40.5062i | 1.32540i | ||||||||
\(935\) | −100.696 | + | 24.8193i | −3.29311 | + | 0.811680i | ||||
\(936\) | −7.88735 | − | 1.07969i | −0.257806 | − | 0.0352909i | ||||
\(937\) | −11.5454 | − | 2.84569i | −0.377172 | − | 0.0929646i | 0.0461720 | − | 0.998934i | \(-0.485298\pi\) |
−0.423344 | + | 0.905969i | \(0.639144\pi\) | |||||||
\(938\) | 0.989524 | − | 4.01466i | 0.0323091 | − | 0.131083i | ||||
\(939\) | −3.34366 | − | 27.5375i | −0.109116 | − | 0.898654i | ||||
\(940\) | −4.64008 | + | 2.43530i | −0.151343 | + | 0.0794309i | ||||
\(941\) | −6.21330 | + | 0.754431i | −0.202548 | + | 0.0245938i | −0.221182 | − | 0.975233i | \(-0.570991\pi\) |
0.0186339 | + | 0.999826i | \(0.494068\pi\) | |||||||
\(942\) | −16.7006 | + | 31.8204i | −0.544136 | + | 1.03676i | ||||
\(943\) | −38.9329 | − | 43.9462i | −1.26783 | − | 1.43108i | ||||
\(944\) | − | 1.26925i | − | 0.0413106i | ||||||
\(945\) | 2.67062 | − | 2.36596i | 0.0868753 | − | 0.0769648i | ||||
\(946\) | 16.3131 | − | 23.6337i | 0.530386 | − | 0.768396i | ||||
\(947\) | −10.4488 | − | 42.3923i | −0.339539 | − | 1.37756i | −0.854100 | − | 0.520110i | \(-0.825891\pi\) |
0.514561 | − | 0.857454i | \(-0.327955\pi\) | |||||||
\(948\) | 0.678980 | − | 0.601524i | 0.0220523 | − | 0.0195366i | ||||
\(949\) | −10.9584 | − | 21.6746i | −0.355725 | − | 0.703586i | ||||
\(950\) | 47.2409 | + | 41.8518i | 1.53270 | + | 1.35785i | ||||
\(951\) | −0.934880 | + | 1.78127i | −0.0303156 | + | 0.0577615i | ||||
\(952\) | −13.7591 | + | 7.22135i | −0.445936 | + | 0.234045i | ||||
\(953\) | 9.46784 | + | 24.9646i | 0.306693 | + | 0.808684i | 0.996414 | + | 0.0846087i | \(0.0269640\pi\) |
−0.689721 | + | 0.724075i | \(0.742267\pi\) | |||||||
\(954\) | −8.53882 | − | 5.89392i | −0.276455 | − | 0.190823i | ||||
\(955\) | −9.16145 | − | 17.4557i | −0.296458 | − | 0.564853i | ||||
\(956\) | 2.48726 | − | 10.0912i | 0.0804437 | − | 0.326373i | ||||
\(957\) | −14.9351 | − | 16.8582i | −0.482783 | − | 0.544950i | ||||
\(958\) | −29.0569 | − | 25.7421i | −0.938785 | − | 0.831691i | ||||
\(959\) | −7.97043 | − | 11.5472i | −0.257379 | − | 0.372877i | ||||
\(960\) | −6.27848 | − | 11.9626i | −0.202637 | − | 0.386092i | ||||
\(961\) | 21.0964 | − | 55.6266i | 0.680528 | − | 1.79441i | ||||
\(962\) | 12.9821 | + | 11.8585i | 0.418560 | + | 0.382333i | ||||
\(963\) | −6.75020 | − | 17.7988i | −0.217522 | − | 0.573559i | ||||
\(964\) | 2.99827 | − | 3.38435i | 0.0965677 | − | 0.109002i | ||||
\(965\) | −15.3053 | − | 13.5593i | −0.492694 | − | 0.436489i | ||||
\(966\) | −14.5120 | + | 3.57687i | −0.466914 | + | 0.115084i | ||||
\(967\) | 0.224464 | + | 0.910687i | 0.00721828 | + | 0.0292857i | 0.974441 | − | 0.224646i | \(-0.0721224\pi\) |
−0.967222 | + | 0.253931i | \(0.918276\pi\) | |||||||
\(968\) | 24.9232 | + | 3.02622i | 0.801062 | + | 0.0972665i | ||||
\(969\) | 39.0416 | − | 14.8065i | 1.25420 | − | 0.475654i | ||||
\(970\) | 82.3401 | + | 9.99790i | 2.64378 | + | 0.321013i | ||||
\(971\) | 11.2175 | − | 16.2514i | 0.359987 | − | 0.521531i | −0.600586 | − | 0.799560i | \(-0.705066\pi\) |
0.960573 | + | 0.278030i | \(0.0896813\pi\) | |||||||
\(972\) | −0.622835 | + | 0.153515i | −0.0199774 | + | 0.00492400i | ||||
\(973\) | 5.36755 | + | 6.05872i | 0.172076 | + | 0.194233i | ||||
\(974\) | 0.334443 | + | 2.75438i | 0.0107162 | + | 0.0882562i | ||||
\(975\) | 19.6802 | − | 9.95010i | 0.630271 | − | 0.318658i | ||||
\(976\) | −1.70786 | + | 14.0655i | −0.0546671 | + | 0.450224i | ||||
\(977\) | −30.5673 | + | 21.0991i | −0.977936 | + | 0.675020i | −0.945897 | − | 0.324466i | \(-0.894815\pi\) |
−0.0320386 | + | 0.999487i | \(0.510200\pi\) | |||||||
\(978\) | 0.184801 | − | 0.487279i | 0.00590928 | − | 0.0155815i | ||||
\(979\) | −3.66444 | − | 30.1794i | −0.117116 | − | 0.964538i | ||||
\(980\) | −5.81927 | + | 11.0877i | −0.185890 | + | 0.354183i | ||||
\(981\) | 12.1544 | − | 13.7195i | 0.388060 | − | 0.438029i | ||||
\(982\) | 23.9623 | + | 16.5400i | 0.764668 | + | 0.527812i | ||||
\(983\) | 13.5863 | − | 9.37794i | 0.433336 | − | 0.299110i | −0.331357 | − | 0.943506i | \(-0.607506\pi\) |
0.764692 | + | 0.644396i | \(0.222891\pi\) | |||||||
\(984\) | 13.3569 | + | 7.01025i | 0.425803 | + | 0.223478i | ||||
\(985\) | −9.71658 | + | 80.0232i | −0.309596 | + | 2.54975i | ||||
\(986\) | 41.8878 | + | 28.9130i | 1.33398 | + | 0.920779i | ||||
\(987\) | 1.48947 | + | 2.15787i | 0.0474103 | + | 0.0686857i | ||||
\(988\) | 14.6027 | − | 1.54806i | 0.464575 | − | 0.0492505i | ||||
\(989\) | 18.2368 | − | 26.4206i | 0.579896 | − | 0.840125i | ||||
\(990\) | 23.9642 | − | 9.08842i | 0.761632 | − | 0.288849i | ||||
\(991\) | 19.2056 | 0.610086 | 0.305043 | − | 0.952339i | \(-0.401329\pi\) | ||||
0.305043 | + | 0.952339i | \(0.401329\pi\) | |||||||
\(992\) | −33.3087 | −1.05755 | ||||||||
\(993\) | −10.0492 | + | 3.81116i | −0.318902 | + | 0.120944i | ||||
\(994\) | −4.22095 | − | 17.1251i | −0.133880 | − | 0.543174i | ||||
\(995\) | − | 28.7674i | − | 0.911988i | ||||||
\(996\) | −1.81514 | + | 7.36433i | −0.0575151 | + | 0.233348i | ||||
\(997\) | 7.30908 | − | 19.2724i | 0.231481 | − | 0.610365i | −0.768069 | − | 0.640367i | \(-0.778782\pi\) |
0.999550 | + | 0.0300024i | \(0.00955151\pi\) | |||||||
\(998\) | −0.112712 | − | 0.0591557i | −0.00356783 | − | 0.00187254i | ||||
\(999\) | −2.80553 | − | 1.06400i | −0.0887632 | − | 0.0336634i |
(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 | 507.2.p.b.64.4 | ✓ | 192 | |
169.103 | even | 26 | inner | 507.2.p.b.103.4 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.p.b.64.4 | ✓ | 192 | 1.1 | even | 1 | trivial | |
507.2.p.b.103.4 | yes | 192 | 169.103 | even | 26 | inner |