Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(535,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.535");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.e (of order \(2\), degree \(1\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 535.17 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.b.535.18 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.219472 | − | 1.39708i | 0.155190 | − | 0.987885i | ||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | −1.90366 | − | 0.613241i | −0.951832 | − | 0.306620i | ||||
\(5\) | − | 3.15947i | − | 1.41296i | −0.707735 | − | 0.706478i | \(-0.750283\pi\) | ||
0.707735 | − | 0.706478i | \(-0.249717\pi\) | |||||||
\(6\) | 0.219472 | − | 1.39708i | 0.0895992 | − | 0.570355i | ||||
\(7\) | −0.761043 | −0.287647 | −0.143824 | − | 0.989603i | \(-0.545940\pi\) | ||||
−0.143824 | + | 0.989603i | \(0.545940\pi\) | |||||||
\(8\) | −1.27455 | + | 2.52498i | −0.450621 | + | 0.892715i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −4.41403 | − | 0.693416i | −1.39584 | − | 0.219277i | ||||
\(11\) | −5.14871 | −1.55239 | −0.776197 | − | 0.630490i | \(-0.782854\pi\) | ||||
−0.776197 | + | 0.630490i | \(0.782854\pi\) | |||||||
\(12\) | −1.90366 | − | 0.613241i | −0.549540 | − | 0.177027i | ||||
\(13\) | − | 4.67319i | − | 1.29611i | −0.761594 | − | 0.648055i | \(-0.775583\pi\) | ||
0.761594 | − | 0.648055i | \(-0.224417\pi\) | |||||||
\(14\) | −0.167028 | + | 1.06324i | −0.0446401 | + | 0.284162i | ||||
\(15\) | − | 3.15947i | − | 0.815771i | ||||||
\(16\) | 3.24787 | + | 2.33481i | 0.811968 | + | 0.583702i | ||||
\(17\) | 1.78889 | 0.433869 | 0.216934 | − | 0.976186i | \(-0.430394\pi\) | ||||
0.216934 | + | 0.976186i | \(0.430394\pi\) | |||||||
\(18\) | 0.219472 | − | 1.39708i | 0.0517301 | − | 0.329295i | ||||
\(19\) | 5.49920i | 1.26160i | 0.775945 | + | 0.630801i | \(0.217274\pi\) | ||||
−0.775945 | + | 0.630801i | \(0.782726\pi\) | |||||||
\(20\) | −1.93751 | + | 6.01456i | −0.433241 | + | 1.34490i | ||||
\(21\) | −0.761043 | −0.166073 | ||||||||
\(22\) | −1.13000 | + | 7.19316i | −0.240917 | + | 1.53359i | ||||
\(23\) | − | 2.96158i | − | 0.617532i | −0.951138 | − | 0.308766i | \(-0.900084\pi\) | ||
0.951138 | − | 0.308766i | \(-0.0999160\pi\) | |||||||
\(24\) | −1.27455 | + | 2.52498i | −0.260166 | + | 0.515410i | ||||
\(25\) | −4.98223 | −0.996445 | ||||||||
\(26\) | −6.52882 | − | 1.02564i | −1.28041 | − | 0.201144i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 1.44877 | + | 0.466703i | 0.273792 | + | 0.0881985i | ||||
\(29\) | −9.79158 | −1.81825 | −0.909125 | − | 0.416523i | \(-0.863249\pi\) | ||||
−0.909125 | + | 0.416523i | \(0.863249\pi\) | |||||||
\(30\) | −4.41403 | − | 0.693416i | −0.805887 | − | 0.126600i | ||||
\(31\) | −3.67432 | −0.659927 | −0.329963 | − | 0.943994i | \(-0.607036\pi\) | ||||
−0.329963 | + | 0.943994i | \(0.607036\pi\) | |||||||
\(32\) | 3.97473 | − | 4.02511i | 0.702640 | − | 0.711546i | ||||
\(33\) | −5.14871 | −0.896276 | ||||||||
\(34\) | 0.392611 | − | 2.49922i | 0.0673323 | − | 0.428612i | ||||
\(35\) | 2.40449i | 0.406433i | ||||||||
\(36\) | −1.90366 | − | 0.613241i | −0.317277 | − | 0.102207i | ||||
\(37\) | 8.38084 | 1.37780 | 0.688901 | − | 0.724856i | \(-0.258094\pi\) | ||||
0.688901 | + | 0.724856i | \(0.258094\pi\) | |||||||
\(38\) | 7.68282 | + | 1.20692i | 1.24632 | + | 0.195789i | ||||
\(39\) | − | 4.67319i | − | 0.748309i | ||||||
\(40\) | 7.97759 | + | 4.02689i | 1.26137 | + | 0.636707i | ||||
\(41\) | 1.00221i | 0.156518i | 0.996933 | + | 0.0782591i | \(0.0249361\pi\) | ||||
−0.996933 | + | 0.0782591i | \(0.975064\pi\) | |||||||
\(42\) | −0.167028 | + | 1.06324i | −0.0257730 | + | 0.164061i | ||||
\(43\) | 7.22273 | 1.10146 | 0.550728 | − | 0.834685i | \(-0.314350\pi\) | ||||
0.550728 | + | 0.834685i | \(0.314350\pi\) | |||||||
\(44\) | 9.80142 | + | 3.15740i | 1.47762 | + | 0.475996i | ||||
\(45\) | − | 3.15947i | − | 0.470985i | ||||||
\(46\) | −4.13756 | − | 0.649985i | −0.610050 | − | 0.0958350i | ||||
\(47\) | − | 11.6884i | − | 1.70493i | −0.522781 | − | 0.852467i | \(-0.675106\pi\) | ||
0.522781 | − | 0.852467i | \(-0.324894\pi\) | |||||||
\(48\) | 3.24787 | + | 2.33481i | 0.468790 | + | 0.337001i | ||||
\(49\) | −6.42081 | −0.917259 | ||||||||
\(50\) | −1.09346 | + | 6.96057i | −0.154639 | + | 0.984373i | ||||
\(51\) | 1.78889 | 0.250494 | ||||||||
\(52\) | −2.86579 | + | 8.89618i | −0.397414 | + | 1.23368i | ||||
\(53\) | − | 9.25172i | − | 1.27082i | −0.772174 | − | 0.635411i | \(-0.780831\pi\) | ||
0.772174 | − | 0.635411i | \(-0.219169\pi\) | |||||||
\(54\) | 0.219472 | − | 1.39708i | 0.0298664 | − | 0.190118i | ||||
\(55\) | 16.2672i | 2.19347i | ||||||||
\(56\) | 0.969986 | − | 1.92162i | 0.129620 | − | 0.256787i | ||||
\(57\) | 5.49920i | 0.728386i | ||||||||
\(58\) | −2.14898 | + | 13.6796i | −0.282175 | + | 1.79622i | ||||
\(59\) | − | 0.539474i | − | 0.0702335i | −0.999383 | − | 0.0351168i | \(-0.988820\pi\) | ||
0.999383 | − | 0.0351168i | \(-0.0111803\pi\) | |||||||
\(60\) | −1.93751 | + | 6.01456i | −0.250132 | + | 0.776477i | ||||
\(61\) | − | 2.35281i | − | 0.301247i | −0.988591 | − | 0.150624i | \(-0.951872\pi\) | ||
0.988591 | − | 0.150624i | \(-0.0481281\pi\) | |||||||
\(62\) | −0.806411 | + | 5.13332i | −0.102414 | + | 0.651932i | ||||
\(63\) | −0.761043 | −0.0958824 | ||||||||
\(64\) | −4.75105 | − | 6.43642i | −0.593882 | − | 0.804552i | ||||
\(65\) | −14.7648 | −1.83135 | ||||||||
\(66\) | −1.13000 | + | 7.19316i | −0.139093 | + | 0.885417i | ||||
\(67\) | 8.09955 | + | 1.18208i | 0.989517 | + | 0.144415i | ||||
\(68\) | −3.40544 | − | 1.09702i | −0.412970 | − | 0.133033i | ||||
\(69\) | − | 2.96158i | − | 0.356532i | ||||||
\(70\) | 3.35927 | + | 0.527719i | 0.401509 | + | 0.0630745i | ||||
\(71\) | 11.8375i | 1.40486i | 0.711754 | + | 0.702429i | \(0.247901\pi\) | ||||
−0.711754 | + | 0.702429i | \(0.752099\pi\) | |||||||
\(72\) | −1.27455 | + | 2.52498i | −0.150207 | + | 0.297572i | ||||
\(73\) | −7.50732 | −0.878665 | −0.439333 | − | 0.898324i | \(-0.644785\pi\) | ||||
−0.439333 | + | 0.898324i | \(0.644785\pi\) | |||||||
\(74\) | 1.83936 | − | 11.7087i | 0.213822 | − | 1.36111i | ||||
\(75\) | −4.98223 | −0.575298 | ||||||||
\(76\) | 3.37233 | − | 10.4686i | 0.386833 | − | 1.20083i | ||||
\(77\) | 3.91839 | 0.446542 | ||||||||
\(78\) | −6.52882 | − | 1.02564i | −0.739243 | − | 0.116130i | ||||
\(79\) | −4.41239 | −0.496432 | −0.248216 | − | 0.968705i | \(-0.579844\pi\) | ||||
−0.248216 | + | 0.968705i | \(0.579844\pi\) | |||||||
\(80\) | 7.37675 | − | 10.2615i | 0.824746 | − | 1.14728i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 1.40016 | + | 0.219956i | 0.154622 | + | 0.0242901i | ||||
\(83\) | − | 8.49721i | − | 0.932689i | −0.884603 | − | 0.466345i | \(-0.845571\pi\) | ||
0.884603 | − | 0.466345i | \(-0.154429\pi\) | |||||||
\(84\) | 1.44877 | + | 0.466703i | 0.158074 | + | 0.0509215i | ||||
\(85\) | − | 5.65193i | − | 0.613038i | ||||||
\(86\) | 1.58519 | − | 10.0907i | 0.170935 | − | 1.08811i | ||||
\(87\) | −9.79158 | −1.04977 | ||||||||
\(88\) | 6.56228 | − | 13.0004i | 0.699541 | − | 1.38585i | ||||
\(89\) | 13.5366 | 1.43488 | 0.717439 | − | 0.696622i | \(-0.245314\pi\) | ||||
0.717439 | + | 0.696622i | \(0.245314\pi\) | |||||||
\(90\) | −4.41403 | − | 0.693416i | −0.465279 | − | 0.0730924i | ||||
\(91\) | 3.55650i | 0.372823i | ||||||||
\(92\) | −1.81616 | + | 5.63785i | −0.189348 | + | 0.587786i | ||||
\(93\) | −3.67432 | −0.381009 | ||||||||
\(94\) | −16.3297 | − | 2.56529i | −1.68428 | − | 0.264589i | ||||
\(95\) | 17.3745 | 1.78259 | ||||||||
\(96\) | 3.97473 | − | 4.02511i | 0.405669 | − | 0.410811i | ||||
\(97\) | − | 8.80067i | − | 0.893572i | −0.894641 | − | 0.446786i | \(-0.852569\pi\) | ||
0.894641 | − | 0.446786i | \(-0.147431\pi\) | |||||||
\(98\) | −1.40919 | + | 8.97039i | −0.142350 | + | 0.906146i | ||||
\(99\) | −5.14871 | −0.517465 | ||||||||
\(100\) | 9.48449 | + | 3.05531i | 0.948449 | + | 0.305531i | ||||
\(101\) | − | 2.11655i | − | 0.210604i | −0.994440 | − | 0.105302i | \(-0.966419\pi\) | ||
0.994440 | − | 0.105302i | \(-0.0335810\pi\) | |||||||
\(102\) | 0.392611 | − | 2.49922i | 0.0388743 | − | 0.247459i | ||||
\(103\) | 3.03894i | 0.299436i | 0.988729 | + | 0.149718i | \(0.0478366\pi\) | ||||
−0.988729 | + | 0.149718i | \(0.952163\pi\) | |||||||
\(104\) | 11.7997 | + | 5.95621i | 1.15706 | + | 0.584054i | ||||
\(105\) | 2.40449i | 0.234654i | ||||||||
\(106\) | −12.9254 | − | 2.03050i | −1.25542 | − | 0.197219i | ||||
\(107\) | − | 0.802128i | − | 0.0775447i | −0.999248 | − | 0.0387723i | \(-0.987655\pi\) | ||
0.999248 | − | 0.0387723i | \(-0.0123447\pi\) | |||||||
\(108\) | −1.90366 | − | 0.613241i | −0.183180 | − | 0.0590091i | ||||
\(109\) | − | 3.94940i | − | 0.378284i | −0.981950 | − | 0.189142i | \(-0.939429\pi\) | ||
0.981950 | − | 0.189142i | \(-0.0605707\pi\) | |||||||
\(110\) | 22.7265 | + | 3.57020i | 2.16689 | + | 0.340405i | ||||
\(111\) | 8.38084 | 0.795474 | ||||||||
\(112\) | −2.47177 | − | 1.77689i | −0.233560 | − | 0.167900i | ||||
\(113\) | 5.98304i | 0.562837i | 0.959585 | + | 0.281419i | \(0.0908050\pi\) | ||||
−0.959585 | + | 0.281419i | \(0.909195\pi\) | |||||||
\(114\) | 7.68282 | + | 1.20692i | 0.719562 | + | 0.113039i | ||||
\(115\) | −9.35701 | −0.872545 | ||||||||
\(116\) | 18.6399 | + | 6.00460i | 1.73067 | + | 0.557513i | ||||
\(117\) | − | 4.67319i | − | 0.432037i | ||||||
\(118\) | −0.753688 | − | 0.118400i | −0.0693826 | − | 0.0108996i | ||||
\(119\) | −1.36142 | −0.124801 | ||||||||
\(120\) | 7.97759 | + | 4.02689i | 0.728251 | + | 0.367603i | ||||
\(121\) | 15.5092 | 1.40993 | ||||||||
\(122\) | −3.28707 | − | 0.516378i | −0.297597 | − | 0.0467507i | ||||
\(123\) | 1.00221i | 0.0903658i | ||||||||
\(124\) | 6.99467 | + | 2.25324i | 0.628140 | + | 0.202347i | ||||
\(125\) | − | 0.0561519i | − | 0.00502238i | ||||||
\(126\) | −0.167028 | + | 1.06324i | −0.0148800 | + | 0.0947208i | ||||
\(127\) | − | 3.50210i | − | 0.310761i | −0.987855 | − | 0.155381i | \(-0.950340\pi\) | ||
0.987855 | − | 0.155381i | \(-0.0496604\pi\) | |||||||
\(128\) | −10.0349 | + | 5.22499i | −0.886970 | + | 0.461828i | ||||
\(129\) | 7.22273 | 0.635926 | ||||||||
\(130\) | −3.24046 | + | 20.6276i | −0.284207 | + | 1.80916i | ||||
\(131\) | − | 16.7878i | − | 1.46676i | −0.679820 | − | 0.733379i | \(-0.737942\pi\) | ||
0.679820 | − | 0.733379i | \(-0.262058\pi\) | |||||||
\(132\) | 9.80142 | + | 3.15740i | 0.853104 | + | 0.274816i | ||||
\(133\) | − | 4.18513i | − | 0.362896i | ||||||
\(134\) | 3.42909 | − | 11.0563i | 0.296229 | − | 0.955117i | ||||
\(135\) | − | 3.15947i | − | 0.271924i | ||||||
\(136\) | −2.28002 | + | 4.51690i | −0.195510 | + | 0.387321i | ||||
\(137\) | − | 3.76333i | − | 0.321523i | −0.986993 | − | 0.160762i | \(-0.948605\pi\) | ||
0.986993 | − | 0.160762i | \(-0.0513950\pi\) | |||||||
\(138\) | −4.13756 | − | 0.649985i | −0.352213 | − | 0.0553304i | ||||
\(139\) | −11.5820 | −0.982371 | −0.491186 | − | 0.871055i | \(-0.663436\pi\) | ||||
−0.491186 | + | 0.871055i | \(0.663436\pi\) | |||||||
\(140\) | 1.47453 | − | 4.57734i | 0.124621 | − | 0.386856i | ||||
\(141\) | − | 11.6884i | − | 0.984344i | ||||||
\(142\) | 16.5380 | + | 2.59801i | 1.38784 | + | 0.218020i | ||||
\(143\) | 24.0609i | 2.01207i | ||||||||
\(144\) | 3.24787 | + | 2.33481i | 0.270656 | + | 0.194567i | ||||
\(145\) | 30.9362i | 2.56911i | ||||||||
\(146\) | −1.64765 | + | 10.4883i | −0.136360 | + | 0.868020i | ||||
\(147\) | −6.42081 | −0.529580 | ||||||||
\(148\) | −15.9543 | − | 5.13947i | −1.31144 | − | 0.422462i | ||||
\(149\) | −1.02591 | −0.0840456 | −0.0420228 | − | 0.999117i | \(-0.513380\pi\) | ||||
−0.0420228 | + | 0.999117i | \(0.513380\pi\) | |||||||
\(150\) | −1.09346 | + | 6.96057i | −0.0892807 | + | 0.568328i | ||||
\(151\) | 5.39710i | 0.439210i | 0.975589 | + | 0.219605i | \(0.0704768\pi\) | ||||
−0.975589 | + | 0.219605i | \(0.929523\pi\) | |||||||
\(152\) | −13.8854 | − | 7.00899i | −1.12625 | − | 0.568504i | ||||
\(153\) | 1.78889 | 0.144623 | ||||||||
\(154\) | 0.859979 | − | 5.47431i | 0.0692991 | − | 0.441132i | ||||
\(155\) | 11.6089i | 0.932448i | ||||||||
\(156\) | −2.86579 | + | 8.89618i | −0.229447 | + | 0.712265i | ||||
\(157\) | 21.7154 | 1.73308 | 0.866540 | − | 0.499107i | \(-0.166339\pi\) | ||||
0.866540 | + | 0.499107i | \(0.166339\pi\) | |||||||
\(158\) | −0.968397 | + | 6.16446i | −0.0770415 | + | 0.490418i | ||||
\(159\) | − | 9.25172i | − | 0.733709i | ||||||
\(160\) | −12.7172 | − | 12.5580i | −1.00538 | − | 0.992800i | ||||
\(161\) | 2.25389i | 0.177631i | ||||||||
\(162\) | 0.219472 | − | 1.39708i | 0.0172434 | − | 0.109765i | ||||
\(163\) | − | 12.4095i | − | 0.971985i | −0.873963 | − | 0.485992i | \(-0.838458\pi\) | ||
0.873963 | − | 0.485992i | \(-0.161542\pi\) | |||||||
\(164\) | 0.614593 | − | 1.90786i | 0.0479917 | − | 0.148979i | ||||
\(165\) | 16.2672i | 1.26640i | ||||||||
\(166\) | −11.8713 | − | 1.86490i | −0.921390 | − | 0.144744i | ||||
\(167\) | − | 23.7645i | − | 1.83895i | −0.393147 | − | 0.919476i | \(-0.628614\pi\) | ||
0.393147 | − | 0.919476i | \(-0.371386\pi\) | |||||||
\(168\) | 0.969986 | − | 1.92162i | 0.0748361 | − | 0.148256i | ||||
\(169\) | −8.83872 | −0.679901 | ||||||||
\(170\) | −7.89619 | − | 1.24044i | −0.605610 | − | 0.0951375i | ||||
\(171\) | 5.49920i | 0.420534i | ||||||||
\(172\) | −13.7497 | − | 4.42927i | −1.04840 | − | 0.337729i | ||||
\(173\) | 21.5848 | 1.64106 | 0.820529 | − | 0.571604i | \(-0.193679\pi\) | ||||
0.820529 | + | 0.571604i | \(0.193679\pi\) | |||||||
\(174\) | −2.14898 | + | 13.6796i | −0.162914 | + | 1.03705i | ||||
\(175\) | 3.79169 | 0.286625 | ||||||||
\(176\) | −16.7224 | − | 12.0213i | −1.26049 | − | 0.906136i | ||||
\(177\) | − | 0.539474i | − | 0.0405494i | ||||||
\(178\) | 2.97091 | − | 18.9117i | 0.222679 | − | 1.41749i | ||||
\(179\) | 25.0137 | 1.86961 | 0.934806 | − | 0.355159i | \(-0.115573\pi\) | ||||
0.934806 | + | 0.355159i | \(0.115573\pi\) | |||||||
\(180\) | −1.93751 | + | 6.01456i | −0.144414 | + | 0.448299i | ||||
\(181\) | 7.26648 | 0.540113 | 0.270057 | − | 0.962844i | \(-0.412958\pi\) | ||||
0.270057 | + | 0.962844i | \(0.412958\pi\) | |||||||
\(182\) | 4.96872 | + | 0.780554i | 0.368306 | + | 0.0578585i | ||||
\(183\) | − | 2.35281i | − | 0.173925i | ||||||
\(184\) | 7.47793 | + | 3.77467i | 0.551280 | + | 0.278273i | ||||
\(185\) | − | 26.4790i | − | 1.94677i | ||||||
\(186\) | −0.806411 | + | 5.13332i | −0.0591289 | + | 0.376393i | ||||
\(187\) | −9.21046 | −0.673536 | ||||||||
\(188\) | −7.16783 | + | 22.2509i | −0.522767 | + | 1.62281i | ||||
\(189\) | −0.761043 | −0.0553578 | ||||||||
\(190\) | 3.81323 | − | 24.2736i | 0.276641 | − | 1.76099i | ||||
\(191\) | 15.0240 | 1.08710 | 0.543548 | − | 0.839378i | \(-0.317081\pi\) | ||||
0.543548 | + | 0.839378i | \(0.317081\pi\) | |||||||
\(192\) | −4.75105 | − | 6.43642i | −0.342878 | − | 0.464508i | ||||
\(193\) | −7.14965 | −0.514643 | −0.257322 | − | 0.966326i | \(-0.582840\pi\) | ||||
−0.257322 | + | 0.966326i | \(0.582840\pi\) | |||||||
\(194\) | −12.2952 | − | 1.93150i | −0.882746 | − | 0.138674i | ||||
\(195\) | −14.7648 | −1.05733 | ||||||||
\(196\) | 12.2231 | + | 3.93750i | 0.873076 | + | 0.281250i | ||||
\(197\) | − | 0.740496i | − | 0.0527582i | −0.999652 | − | 0.0263791i | \(-0.991602\pi\) | ||
0.999652 | − | 0.0263791i | \(-0.00839770\pi\) | |||||||
\(198\) | −1.13000 | + | 7.19316i | −0.0803056 | + | 0.511196i | ||||
\(199\) | 13.5738i | 0.962219i | 0.876660 | + | 0.481110i | \(0.159766\pi\) | ||||
−0.876660 | + | 0.481110i | \(0.840234\pi\) | |||||||
\(200\) | 6.35009 | − | 12.5800i | 0.449019 | − | 0.889542i | ||||
\(201\) | 8.09955 | + | 1.18208i | 0.571298 | + | 0.0833778i | ||||
\(202\) | −2.95699 | − | 0.464524i | −0.208053 | − | 0.0326838i | ||||
\(203\) | 7.45181 | 0.523015 | ||||||||
\(204\) | −3.40544 | − | 1.09702i | −0.238428 | − | 0.0768066i | ||||
\(205\) | 3.16643 | 0.221153 | ||||||||
\(206\) | 4.24565 | + | 0.666964i | 0.295808 | + | 0.0464696i | ||||
\(207\) | − | 2.96158i | − | 0.205844i | ||||||
\(208\) | 10.9110 | − | 15.1779i | 0.756542 | − | 1.05240i | ||||
\(209\) | − | 28.3138i | − | 1.95850i | ||||||
\(210\) | 3.35927 | + | 0.527719i | 0.231811 | + | 0.0364161i | ||||
\(211\) | 26.1007i | 1.79685i | 0.439131 | + | 0.898423i | \(0.355286\pi\) | ||||
−0.439131 | + | 0.898423i | \(0.644714\pi\) | |||||||
\(212\) | −5.67353 | + | 17.6122i | −0.389660 | + | 1.20961i | ||||
\(213\) | 11.8375i | 0.811095i | ||||||||
\(214\) | −1.12064 | − | 0.176045i | −0.0766052 | − | 0.0120342i | ||||
\(215\) | − | 22.8200i | − | 1.55631i | ||||||
\(216\) | −1.27455 | + | 2.52498i | −0.0867220 | + | 0.171803i | ||||
\(217\) | 2.79632 | 0.189826 | ||||||||
\(218\) | −5.51763 | − | 0.866785i | −0.373701 | − | 0.0587061i | ||||
\(219\) | −7.50732 | −0.507298 | ||||||||
\(220\) | 9.97570 | − | 30.9672i | 0.672562 | − | 2.08781i | ||||
\(221\) | − | 8.35981i | − | 0.562342i | ||||||
\(222\) | 1.83936 | − | 11.7087i | 0.123450 | − | 0.785836i | ||||
\(223\) | 12.4915i | 0.836490i | 0.908334 | + | 0.418245i | \(0.137355\pi\) | ||||
−0.908334 | + | 0.418245i | \(0.862645\pi\) | |||||||
\(224\) | −3.02494 | + | 3.06328i | −0.202113 | + | 0.204674i | ||||
\(225\) | −4.98223 | −0.332148 | ||||||||
\(226\) | 8.35879 | + | 1.31311i | 0.556018 | + | 0.0873469i | ||||
\(227\) | − | 19.5880i | − | 1.30010i | −0.759892 | − | 0.650050i | \(-0.774748\pi\) | ||
0.759892 | − | 0.650050i | \(-0.225252\pi\) | |||||||
\(228\) | 3.37233 | − | 10.4686i | 0.223338 | − | 0.693301i | ||||
\(229\) | − | 20.1069i | − | 1.32870i | −0.747421 | − | 0.664351i | \(-0.768708\pi\) | ||
0.747421 | − | 0.664351i | \(-0.231292\pi\) | |||||||
\(230\) | −2.05360 | + | 13.0725i | −0.135411 | + | 0.861974i | ||||
\(231\) | 3.91839 | 0.257811 | ||||||||
\(232\) | 12.4798 | − | 24.7235i | 0.819341 | − | 1.62318i | ||||
\(233\) | 10.1151i | 0.662662i | 0.943515 | + | 0.331331i | \(0.107498\pi\) | ||||
−0.943515 | + | 0.331331i | \(0.892502\pi\) | |||||||
\(234\) | −6.52882 | − | 1.02564i | −0.426802 | − | 0.0670479i | ||||
\(235\) | −36.9292 | −2.40900 | ||||||||
\(236\) | −0.330828 | + | 1.02698i | −0.0215350 | + | 0.0668505i | ||||
\(237\) | −4.41239 | −0.286615 | ||||||||
\(238\) | −0.298794 | + | 1.90201i | −0.0193679 | + | 0.123289i | ||||
\(239\) | −10.4706 | −0.677286 | −0.338643 | − | 0.940915i | \(-0.609968\pi\) | ||||
−0.338643 | + | 0.940915i | \(0.609968\pi\) | |||||||
\(240\) | 7.37675 | − | 10.2615i | 0.476167 | − | 0.662380i | ||||
\(241\) | 12.9470 | 0.833989 | 0.416994 | − | 0.908909i | \(-0.363083\pi\) | ||||
0.416994 | + | 0.908909i | \(0.363083\pi\) | |||||||
\(242\) | 3.40385 | − | 21.6676i | 0.218808 | − | 1.39285i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −1.44284 | + | 4.47897i | −0.0923685 | + | 0.286737i | ||||
\(245\) | 20.2863i | 1.29605i | ||||||||
\(246\) | 1.40016 | + | 0.219956i | 0.0892710 | + | 0.0140239i | ||||
\(247\) | 25.6988 | 1.63518 | ||||||||
\(248\) | 4.68309 | − | 9.27758i | 0.297377 | − | 0.589127i | ||||
\(249\) | − | 8.49721i | − | 0.538489i | ||||||
\(250\) | −0.0784487 | − | 0.0123238i | −0.00496153 | − | 0.000779425i | ||||
\(251\) | −16.0783 | −1.01485 | −0.507425 | − | 0.861696i | \(-0.669403\pi\) | ||||
−0.507425 | + | 0.861696i | \(0.669403\pi\) | |||||||
\(252\) | 1.44877 | + | 0.466703i | 0.0912640 | + | 0.0293995i | ||||
\(253\) | 15.2483i | 0.958653i | ||||||||
\(254\) | −4.89272 | − | 0.768615i | −0.306996 | − | 0.0482272i | ||||
\(255\) | − | 5.65193i | − | 0.353937i | ||||||
\(256\) | 5.09734 | + | 15.1663i | 0.318584 | + | 0.947895i | ||||
\(257\) | −8.88242 | −0.554070 | −0.277035 | − | 0.960860i | \(-0.589352\pi\) | ||||
−0.277035 | + | 0.960860i | \(0.589352\pi\) | |||||||
\(258\) | 1.58519 | − | 10.0907i | 0.0986896 | − | 0.628222i | ||||
\(259\) | −6.37818 | −0.396321 | ||||||||
\(260\) | 28.1072 | + | 9.05437i | 1.74313 | + | 0.561528i | ||||
\(261\) | −9.79158 | −0.606083 | ||||||||
\(262\) | −23.4539 | − | 3.68446i | −1.44899 | − | 0.227627i | ||||
\(263\) | 13.4038i | 0.826517i | 0.910614 | + | 0.413258i | \(0.135609\pi\) | ||||
−0.910614 | + | 0.413258i | \(0.864391\pi\) | |||||||
\(264\) | 6.56228 | − | 13.0004i | 0.403880 | − | 0.800119i | ||||
\(265\) | −29.2305 | −1.79561 | ||||||||
\(266\) | −5.84696 | − | 0.918520i | −0.358500 | − | 0.0563181i | ||||
\(267\) | 13.5366 | 0.828427 | ||||||||
\(268\) | −14.6939 | − | 7.21727i | −0.897574 | − | 0.440865i | ||||
\(269\) | 2.97179 | 0.181193 | 0.0905967 | − | 0.995888i | \(-0.471123\pi\) | ||||
0.0905967 | + | 0.995888i | \(0.471123\pi\) | |||||||
\(270\) | −4.41403 | − | 0.693416i | −0.268629 | − | 0.0421999i | ||||
\(271\) | −3.46516 | −0.210494 | −0.105247 | − | 0.994446i | \(-0.533563\pi\) | ||||
−0.105247 | + | 0.994446i | \(0.533563\pi\) | |||||||
\(272\) | 5.81007 | + | 4.17671i | 0.352287 | + | 0.253250i | ||||
\(273\) | 3.55650i | 0.215249i | ||||||||
\(274\) | −5.25768 | − | 0.825948i | −0.317628 | − | 0.0498973i | ||||
\(275\) | 25.6521 | 1.54688 | ||||||||
\(276\) | −1.81616 | + | 5.63785i | −0.109320 | + | 0.339359i | ||||
\(277\) | 16.7532 | 1.00660 | 0.503302 | − | 0.864111i | \(-0.332118\pi\) | ||||
0.503302 | + | 0.864111i | \(0.332118\pi\) | |||||||
\(278\) | −2.54193 | + | 16.1810i | −0.152455 | + | 0.970469i | ||||
\(279\) | −3.67432 | −0.219976 | ||||||||
\(280\) | −6.07129 | − | 3.06464i | −0.362829 | − | 0.183147i | ||||
\(281\) | 30.6334i | 1.82743i | 0.406351 | + | 0.913717i | \(0.366801\pi\) | ||||
−0.406351 | + | 0.913717i | \(0.633199\pi\) | |||||||
\(282\) | −16.3297 | − | 2.56529i | −0.972418 | − | 0.152761i | ||||
\(283\) | − | 19.2949i | − | 1.14696i | −0.819218 | − | 0.573482i | \(-0.805592\pi\) | ||
0.819218 | − | 0.573482i | \(-0.194408\pi\) | |||||||
\(284\) | 7.25926 | − | 22.5347i | 0.430758 | − | 1.33719i | ||||
\(285\) | 17.3745 | 1.02918 | ||||||||
\(286\) | 33.6150 | + | 5.28071i | 1.98770 | + | 0.312255i | ||||
\(287\) | − | 0.762722i | − | 0.0450220i | ||||||
\(288\) | 3.97473 | − | 4.02511i | 0.234213 | − | 0.237182i | ||||
\(289\) | −13.7999 | −0.811758 | ||||||||
\(290\) | 43.2203 | + | 6.78963i | 2.53798 | + | 0.398701i | ||||
\(291\) | − | 8.80067i | − | 0.515904i | ||||||
\(292\) | 14.2914 | + | 4.60380i | 0.836342 | + | 0.269417i | ||||
\(293\) | −32.3179 | −1.88803 | −0.944017 | − | 0.329898i | \(-0.892986\pi\) | ||||
−0.944017 | + | 0.329898i | \(0.892986\pi\) | |||||||
\(294\) | −1.40919 | + | 8.97039i | −0.0821857 | + | 0.523164i | ||||
\(295\) | −1.70445 | −0.0992369 | ||||||||
\(296\) | −10.6818 | + | 21.1615i | −0.620866 | + | 1.22998i | ||||
\(297\) | −5.14871 | −0.298759 | ||||||||
\(298\) | −0.225158 | + | 1.43327i | −0.0130431 | + | 0.0830274i | ||||
\(299\) | −13.8400 | −0.800389 | ||||||||
\(300\) | 9.48449 | + | 3.05531i | 0.547587 | + | 0.176398i | ||||
\(301\) | −5.49681 | −0.316831 | ||||||||
\(302\) | 7.54018 | + | 1.18451i | 0.433889 | + | 0.0681611i | ||||
\(303\) | − | 2.11655i | − | 0.121593i | ||||||
\(304\) | −12.8396 | + | 17.8607i | −0.736400 | + | 1.02438i | ||||
\(305\) | −7.43364 | −0.425649 | ||||||||
\(306\) | 0.392611 | − | 2.49922i | 0.0224441 | − | 0.142871i | ||||
\(307\) | − | 4.06916i | − | 0.232239i | −0.993235 | − | 0.116120i | \(-0.962954\pi\) | ||
0.993235 | − | 0.116120i | \(-0.0370456\pi\) | |||||||
\(308\) | −7.45930 | − | 2.40292i | −0.425033 | − | 0.136919i | ||||
\(309\) | 3.03894i | 0.172880i | ||||||||
\(310\) | 16.2185 | + | 2.54783i | 0.921151 | + | 0.144707i | ||||
\(311\) | −22.5473 | −1.27854 | −0.639270 | − | 0.768982i | \(-0.720763\pi\) | ||||
−0.639270 | + | 0.768982i | \(0.720763\pi\) | |||||||
\(312\) | 11.7997 | + | 5.95621i | 0.668027 | + | 0.337204i | ||||
\(313\) | 20.6491i | 1.16716i | 0.812057 | + | 0.583578i | \(0.198348\pi\) | ||||
−0.812057 | + | 0.583578i | \(0.801652\pi\) | |||||||
\(314\) | 4.76594 | − | 30.3382i | 0.268957 | − | 1.71208i | ||||
\(315\) | 2.40449i | 0.135478i | ||||||||
\(316\) | 8.39970 | + | 2.70586i | 0.472520 | + | 0.152216i | ||||
\(317\) | 13.8868 | 0.779962 | 0.389981 | − | 0.920823i | \(-0.372482\pi\) | ||||
0.389981 | + | 0.920823i | \(0.372482\pi\) | |||||||
\(318\) | −12.9254 | − | 2.03050i | −0.724820 | − | 0.113865i | ||||
\(319\) | 50.4140 | 2.82264 | ||||||||
\(320\) | −20.3356 | + | 15.0108i | −1.13680 | + | 0.839129i | ||||
\(321\) | − | 0.802128i | − | 0.0447704i | ||||||
\(322\) | 3.14886 | + | 0.494666i | 0.175479 | + | 0.0275667i | ||||
\(323\) | 9.83744i | 0.547370i | ||||||||
\(324\) | −1.90366 | − | 0.613241i | −0.105759 | − | 0.0340689i | ||||
\(325\) | 23.2829i | 1.29150i | ||||||||
\(326\) | −17.3370 | − | 2.72354i | −0.960209 | − | 0.150843i | ||||
\(327\) | − | 3.94940i | − | 0.218402i | ||||||
\(328\) | −2.53055 | − | 1.27736i | −0.139726 | − | 0.0705303i | ||||
\(329\) | 8.89541i | 0.490420i | ||||||||
\(330\) | 22.7265 | + | 3.57020i | 1.25106 | + | 0.196533i | ||||
\(331\) | 6.20476 | 0.341044 | 0.170522 | − | 0.985354i | \(-0.445455\pi\) | ||||
0.170522 | + | 0.985354i | \(0.445455\pi\) | |||||||
\(332\) | −5.21083 | + | 16.1758i | −0.285982 | + | 0.887764i | ||||
\(333\) | 8.38084 | 0.459267 | ||||||||
\(334\) | −33.2009 | − | 5.21565i | −1.81667 | − | 0.285388i | ||||
\(335\) | 3.73476 | − | 25.5902i | 0.204052 | − | 1.39814i | ||||
\(336\) | −2.47177 | − | 1.77689i | −0.134846 | − | 0.0969373i | ||||
\(337\) | − | 17.2073i | − | 0.937343i | −0.883373 | − | 0.468672i | \(-0.844733\pi\) | ||
0.883373 | − | 0.468672i | \(-0.155267\pi\) | |||||||
\(338\) | −1.93985 | + | 12.3484i | −0.105514 | + | 0.671664i | ||||
\(339\) | 5.98304i | 0.324954i | ||||||||
\(340\) | −3.46599 | + | 10.7594i | −0.187970 | + | 0.583509i | ||||
\(341\) | 18.9180 | 1.02447 | ||||||||
\(342\) | 7.68282 | + | 1.20692i | 0.415439 | + | 0.0652628i | ||||
\(343\) | 10.2138 | 0.551494 | ||||||||
\(344\) | −9.20572 | + | 18.2373i | −0.496339 | + | 0.983287i | ||||
\(345\) | −9.35701 | −0.503764 | ||||||||
\(346\) | 4.73726 | − | 30.1556i | 0.254677 | − | 1.62118i | ||||
\(347\) | −1.25418 | −0.0673279 | −0.0336639 | − | 0.999433i | \(-0.510718\pi\) | ||||
−0.0336639 | + | 0.999433i | \(0.510718\pi\) | |||||||
\(348\) | 18.6399 | + | 6.00460i | 0.999202 | + | 0.321880i | ||||
\(349\) | −20.6929 | −1.10767 | −0.553833 | − | 0.832628i | \(-0.686835\pi\) | ||||
−0.553833 | + | 0.832628i | \(0.686835\pi\) | |||||||
\(350\) | 0.832171 | − | 5.29729i | 0.0444814 | − | 0.283152i | ||||
\(351\) | − | 4.67319i | − | 0.249436i | ||||||
\(352\) | −20.4647 | + | 20.7241i | −1.09077 | + | 1.10460i | ||||
\(353\) | 12.0262i | 0.640089i | 0.947403 | + | 0.320044i | \(0.103698\pi\) | ||||
−0.947403 | + | 0.320044i | \(0.896302\pi\) | |||||||
\(354\) | −0.753688 | − | 0.118400i | −0.0400581 | − | 0.00629287i | ||||
\(355\) | 37.4003 | 1.98500 | ||||||||
\(356\) | −25.7691 | − | 8.30120i | −1.36576 | − | 0.439963i | ||||
\(357\) | −1.36142 | −0.0720540 | ||||||||
\(358\) | 5.48982 | − | 34.9461i | 0.290146 | − | 1.84696i | ||||
\(359\) | 11.0056i | 0.580854i | 0.956897 | + | 0.290427i | \(0.0937973\pi\) | ||||
−0.956897 | + | 0.290427i | \(0.906203\pi\) | |||||||
\(360\) | 7.97759 | + | 4.02689i | 0.420456 | + | 0.212236i | ||||
\(361\) | −11.2412 | −0.591640 | ||||||||
\(362\) | 1.59479 | − | 10.1519i | 0.0838204 | − | 0.533570i | ||||
\(363\) | 15.5092 | 0.814024 | ||||||||
\(364\) | 2.18099 | − | 6.77038i | 0.114315 | − | 0.354864i | ||||
\(365\) | 23.7191i | 1.24152i | ||||||||
\(366\) | −3.28707 | − | 0.516378i | −0.171818 | − | 0.0269915i | ||||
\(367\) | 13.4477 | 0.701965 | 0.350982 | − | 0.936382i | \(-0.385848\pi\) | ||||
0.350982 | + | 0.936382i | \(0.385848\pi\) | |||||||
\(368\) | 6.91472 | − | 9.61883i | 0.360455 | − | 0.501416i | ||||
\(369\) | 1.00221i | 0.0521727i | ||||||||
\(370\) | −36.9932 | − | 5.81140i | −1.92319 | − | 0.302120i | ||||
\(371\) | 7.04096i | 0.365548i | ||||||||
\(372\) | 6.99467 | + | 2.25324i | 0.362657 | + | 0.116825i | ||||
\(373\) | 35.9353i | 1.86066i | 0.366725 | + | 0.930329i | \(0.380479\pi\) | ||||
−0.366725 | + | 0.930329i | \(0.619521\pi\) | |||||||
\(374\) | −2.02144 | + | 12.8677i | −0.104526 | + | 0.665375i | ||||
\(375\) | − | 0.0561519i | − | 0.00289967i | ||||||
\(376\) | 29.5131 | + | 14.8975i | 1.52202 | + | 0.768278i | ||||
\(377\) | 45.7579i | 2.35665i | ||||||||
\(378\) | −0.167028 | + | 1.06324i | −0.00859099 | + | 0.0546871i | ||||
\(379\) | −29.3622 | −1.50824 | −0.754118 | − | 0.656739i | \(-0.771935\pi\) | ||||
−0.754118 | + | 0.656739i | \(0.771935\pi\) | |||||||
\(380\) | −33.0753 | − | 10.6548i | −1.69672 | − | 0.546578i | ||||
\(381\) | − | 3.50210i | − | 0.179418i | ||||||
\(382\) | 3.29734 | − | 20.9897i | 0.168707 | − | 1.07393i | ||||
\(383\) | −22.1970 | −1.13421 | −0.567107 | − | 0.823644i | \(-0.691937\pi\) | ||||
−0.567107 | + | 0.823644i | \(0.691937\pi\) | |||||||
\(384\) | −10.0349 | + | 5.22499i | −0.512092 | + | 0.266636i | ||||
\(385\) | − | 12.3800i | − | 0.630945i | ||||||
\(386\) | −1.56915 | + | 9.98863i | −0.0798677 | + | 0.508408i | ||||
\(387\) | 7.22273 | 0.367152 | ||||||||
\(388\) | −5.39693 | + | 16.7535i | −0.273987 | + | 0.850530i | ||||
\(389\) | −6.29515 | −0.319177 | −0.159588 | − | 0.987184i | \(-0.551017\pi\) | ||||
−0.159588 | + | 0.987184i | \(0.551017\pi\) | |||||||
\(390\) | −3.24046 | + | 20.6276i | −0.164087 | + | 1.04452i | ||||
\(391\) | − | 5.29793i | − | 0.267928i | ||||||
\(392\) | 8.18363 | − | 16.2124i | 0.413336 | − | 0.818851i | ||||
\(393\) | − | 16.7878i | − | 0.846833i | ||||||
\(394\) | −1.03453 | − | 0.162518i | −0.0521190 | − | 0.00818756i | ||||
\(395\) | 13.9408i | 0.701437i | ||||||||
\(396\) | 9.80142 | + | 3.15740i | 0.492540 | + | 0.158665i | ||||
\(397\) | 24.8494 | 1.24716 | 0.623579 | − | 0.781761i | \(-0.285678\pi\) | ||||
0.623579 | + | 0.781761i | \(0.285678\pi\) | |||||||
\(398\) | 18.9636 | + | 2.97907i | 0.950562 | + | 0.149327i | ||||
\(399\) | − | 4.18513i | − | 0.209518i | ||||||
\(400\) | −16.1816 | − | 11.6325i | −0.809082 | − | 0.581627i | ||||
\(401\) | 22.5349i | 1.12534i | 0.826683 | + | 0.562668i | \(0.190225\pi\) | ||||
−0.826683 | + | 0.562668i | \(0.809775\pi\) | |||||||
\(402\) | 3.42909 | − | 11.0563i | 0.171028 | − | 0.551437i | ||||
\(403\) | 17.1708i | 0.855338i | ||||||||
\(404\) | −1.29795 | + | 4.02920i | −0.0645756 | + | 0.200460i | ||||
\(405\) | − | 3.15947i | − | 0.156995i | ||||||
\(406\) | 1.63547 | − | 10.4108i | 0.0811669 | − | 0.516678i | ||||
\(407\) | −43.1505 | −2.13889 | ||||||||
\(408\) | −2.28002 | + | 4.51690i | −0.112878 | + | 0.223620i | ||||
\(409\) | 16.8732i | 0.834328i | 0.908831 | + | 0.417164i | \(0.136976\pi\) | ||||
−0.908831 | + | 0.417164i | \(0.863024\pi\) | |||||||
\(410\) | 0.694945 | − | 4.42376i | 0.0343209 | − | 0.218474i | ||||
\(411\) | − | 3.76333i | − | 0.185631i | ||||||
\(412\) | 1.86360 | − | 5.78513i | 0.0918132 | − | 0.285013i | ||||
\(413\) | 0.410563i | 0.0202025i | ||||||||
\(414\) | −4.13756 | − | 0.649985i | −0.203350 | − | 0.0319450i | ||||
\(415\) | −26.8466 | −1.31785 | ||||||||
\(416\) | −18.8101 | − | 18.5747i | −0.922241 | − | 0.910699i | ||||
\(417\) | −11.5820 | −0.567172 | ||||||||
\(418\) | −39.5566 | − | 6.21409i | −1.93478 | − | 0.303941i | ||||
\(419\) | 17.8232i | 0.870720i | 0.900256 | + | 0.435360i | \(0.143379\pi\) | ||||
−0.900256 | + | 0.435360i | \(0.856621\pi\) | |||||||
\(420\) | 1.47453 | − | 4.57734i | 0.0719498 | − | 0.223351i | ||||
\(421\) | 11.6776 | 0.569133 | 0.284567 | − | 0.958656i | \(-0.408150\pi\) | ||||
0.284567 | + | 0.958656i | \(0.408150\pi\) | |||||||
\(422\) | 36.4647 | + | 5.72838i | 1.77508 | + | 0.278853i | ||||
\(423\) | − | 11.6884i | − | 0.568311i | ||||||
\(424\) | 23.3604 | + | 11.7918i | 1.13448 | + | 0.572658i | ||||
\(425\) | −8.91264 | −0.432327 | ||||||||
\(426\) | 16.5380 | + | 2.59801i | 0.801268 | + | 0.125874i | ||||
\(427\) | 1.79059i | 0.0866529i | ||||||||
\(428\) | −0.491898 | + | 1.52698i | −0.0237768 | + | 0.0738095i | ||||
\(429\) | 24.0609i | 1.16167i | ||||||||
\(430\) | −31.8813 | − | 5.00836i | −1.53745 | − | 0.241524i | ||||
\(431\) | − | 12.4402i | − | 0.599222i | −0.954061 | − | 0.299611i | \(-0.903143\pi\) | ||
0.954061 | − | 0.299611i | \(-0.0968570\pi\) | |||||||
\(432\) | 3.24787 | + | 2.33481i | 0.156263 | + | 0.112334i | ||||
\(433\) | 1.55511i | 0.0747338i | 0.999302 | + | 0.0373669i | \(0.0118970\pi\) | ||||
−0.999302 | + | 0.0373669i | \(0.988103\pi\) | |||||||
\(434\) | 0.613714 | − | 3.90668i | 0.0294592 | − | 0.187526i | ||||
\(435\) | 30.9362i | 1.48328i | ||||||||
\(436\) | −2.42193 | + | 7.51833i | −0.115990 | + | 0.360063i | ||||
\(437\) | 16.2863 | 0.779079 | ||||||||
\(438\) | −1.64765 | + | 10.4883i | −0.0787277 | + | 0.501152i | ||||
\(439\) | 34.3737i | 1.64057i | 0.571958 | + | 0.820283i | \(0.306184\pi\) | ||||
−0.571958 | + | 0.820283i | \(0.693816\pi\) | |||||||
\(440\) | −41.0743 | − | 20.7333i | −1.95814 | − | 0.988421i | ||||
\(441\) | −6.42081 | −0.305753 | ||||||||
\(442\) | −11.6793 | − | 1.83475i | −0.555529 | − | 0.0872700i | ||||
\(443\) | −12.2786 | −0.583373 | −0.291687 | − | 0.956514i | \(-0.594216\pi\) | ||||
−0.291687 | + | 0.956514i | \(0.594216\pi\) | |||||||
\(444\) | −15.9543 | − | 5.13947i | −0.757157 | − | 0.243909i | ||||
\(445\) | − | 42.7685i | − | 2.02742i | ||||||
\(446\) | 17.4516 | + | 2.74153i | 0.826356 | + | 0.129815i | ||||
\(447\) | −1.02591 | −0.0485238 | ||||||||
\(448\) | 3.61576 | + | 4.89839i | 0.170829 | + | 0.231427i | ||||
\(449\) | 6.05108 | 0.285568 | 0.142784 | − | 0.989754i | \(-0.454395\pi\) | ||||
0.142784 | + | 0.989754i | \(0.454395\pi\) | |||||||
\(450\) | −1.09346 | + | 6.96057i | −0.0515463 | + | 0.328124i | ||||
\(451\) | − | 5.16007i | − | 0.242978i | ||||||
\(452\) | 3.66905 | − | 11.3897i | 0.172577 | − | 0.535726i | ||||
\(453\) | 5.39710i | 0.253578i | ||||||||
\(454\) | −27.3660 | − | 4.29902i | −1.28435 | − | 0.201763i | ||||
\(455\) | 11.2366 | 0.526782 | ||||||||
\(456\) | −13.8854 | − | 7.00899i | −0.650242 | − | 0.328226i | ||||
\(457\) | −10.5677 | −0.494337 | −0.247169 | − | 0.968972i | \(-0.579500\pi\) | ||||
−0.247169 | + | 0.968972i | \(0.579500\pi\) | |||||||
\(458\) | −28.0910 | − | 4.41291i | −1.31260 | − | 0.206202i | ||||
\(459\) | 1.78889 | 0.0834981 | ||||||||
\(460\) | 17.8126 | + | 5.73810i | 0.830516 | + | 0.267540i | ||||
\(461\) | 9.54057 | 0.444349 | 0.222174 | − | 0.975007i | \(-0.428685\pi\) | ||||
0.222174 | + | 0.975007i | \(0.428685\pi\) | |||||||
\(462\) | 0.859979 | − | 5.47431i | 0.0400098 | − | 0.254688i | ||||
\(463\) | 19.5832 | 0.910110 | 0.455055 | − | 0.890463i | \(-0.349620\pi\) | ||||
0.455055 | + | 0.890463i | \(0.349620\pi\) | |||||||
\(464\) | −31.8018 | − | 22.8615i | −1.47636 | − | 1.06132i | ||||
\(465\) | 11.6089i | 0.538349i | ||||||||
\(466\) | 14.1316 | + | 2.21998i | 0.654633 | + | 0.102839i | ||||
\(467\) | 3.05326i | 0.141288i | 0.997502 | + | 0.0706439i | \(0.0225054\pi\) | ||||
−0.997502 | + | 0.0706439i | \(0.977495\pi\) | |||||||
\(468\) | −2.86579 | + | 8.89618i | −0.132471 | + | 0.411226i | ||||
\(469\) | −6.16411 | − | 0.899618i | −0.284632 | − | 0.0415405i | ||||
\(470\) | −8.10494 | + | 51.5931i | −0.373853 | + | 2.37981i | ||||
\(471\) | 21.7154 | 1.00059 | ||||||||
\(472\) | 1.36216 | + | 0.687586i | 0.0626986 | + | 0.0316487i | ||||
\(473\) | −37.1878 | −1.70990 | ||||||||
\(474\) | −0.968397 | + | 6.16446i | −0.0444800 | + | 0.283143i | ||||
\(475\) | − | 27.3982i | − | 1.25712i | ||||||
\(476\) | 2.59169 | + | 0.834878i | 0.118790 | + | 0.0382666i | ||||
\(477\) | − | 9.25172i | − | 0.423607i | ||||||
\(478\) | −2.29801 | + | 14.6283i | −0.105108 | + | 0.669081i | ||||
\(479\) | 19.4898i | 0.890512i | 0.895403 | + | 0.445256i | \(0.146887\pi\) | ||||
−0.895403 | + | 0.445256i | \(0.853113\pi\) | |||||||
\(480\) | −12.7172 | − | 12.5580i | −0.580458 | − | 0.573193i | ||||
\(481\) | − | 39.1653i | − | 1.78578i | ||||||
\(482\) | 2.84151 | − | 18.0880i | 0.129427 | − | 0.823885i | ||||
\(483\) | 2.25389i | 0.102556i | ||||||||
\(484\) | −29.5244 | − | 9.51089i | −1.34202 | − | 0.432313i | ||||
\(485\) | −27.8054 | −1.26258 | ||||||||
\(486\) | 0.219472 | − | 1.39708i | 0.00995547 | − | 0.0633728i | ||||
\(487\) | −18.0005 | −0.815682 | −0.407841 | − | 0.913053i | \(-0.633718\pi\) | ||||
−0.407841 | + | 0.913053i | \(0.633718\pi\) | |||||||
\(488\) | 5.94081 | + | 2.99878i | 0.268928 | + | 0.135748i | ||||
\(489\) | − | 12.4095i | − | 0.561176i | ||||||
\(490\) | 28.3416 | + | 4.45229i | 1.28034 | + | 0.201134i | ||||
\(491\) | 24.6443i | 1.11218i | 0.831121 | + | 0.556091i | \(0.187700\pi\) | ||||
−0.831121 | + | 0.556091i | \(0.812300\pi\) | |||||||
\(492\) | 0.614593 | − | 1.90786i | 0.0277080 | − | 0.0860130i | ||||
\(493\) | −17.5160 | −0.788882 | ||||||||
\(494\) | 5.64018 | − | 35.9033i | 0.253763 | − | 1.61536i | ||||
\(495\) | 16.2672i | 0.731155i | ||||||||
\(496\) | −11.9337 | − | 8.57883i | −0.535839 | − | 0.385201i | ||||
\(497\) | − | 9.00888i | − | 0.404104i | ||||||
\(498\) | −11.8713 | − | 1.86490i | −0.531965 | − | 0.0835683i | ||||
\(499\) | 18.2260 | 0.815907 | 0.407953 | − | 0.913003i | \(-0.366243\pi\) | ||||
0.407953 | + | 0.913003i | \(0.366243\pi\) | |||||||
\(500\) | −0.0344347 | + | 0.106894i | −0.00153996 | + | 0.00478046i | ||||
\(501\) | − | 23.7645i | − | 1.06172i | ||||||
\(502\) | −3.52873 | + | 22.4626i | −0.157495 | + | 1.00256i | ||||
\(503\) | −18.5070 | −0.825187 | −0.412594 | − | 0.910915i | \(-0.635377\pi\) | ||||
−0.412594 | + | 0.910915i | \(0.635377\pi\) | |||||||
\(504\) | 0.969986 | − | 1.92162i | 0.0432066 | − | 0.0855957i | ||||
\(505\) | −6.68716 | −0.297575 | ||||||||
\(506\) | 21.3031 | + | 3.34658i | 0.947039 | + | 0.148774i | ||||
\(507\) | −8.83872 | −0.392541 | ||||||||
\(508\) | −2.14763 | + | 6.66682i | −0.0952858 | + | 0.295792i | ||||
\(509\) | 38.4081 | 1.70241 | 0.851205 | − | 0.524833i | \(-0.175872\pi\) | ||||
0.851205 | + | 0.524833i | \(0.175872\pi\) | |||||||
\(510\) | −7.89619 | − | 1.24044i | −0.349649 | − | 0.0549277i | ||||
\(511\) | 5.71340 | 0.252746 | ||||||||
\(512\) | 22.3073 | − | 3.79280i | 0.985852 | − | 0.167620i | ||||
\(513\) | 5.49920i | 0.242795i | ||||||||
\(514\) | −1.94945 | + | 12.4094i | −0.0859864 | + | 0.547357i | ||||
\(515\) | 9.60144 | 0.423090 | ||||||||
\(516\) | −13.7497 | − | 4.42927i | −0.605295 | − | 0.194988i | ||||
\(517\) | 60.1804i | 2.64673i | ||||||||
\(518\) | −1.39983 | + | 8.91083i | −0.0615052 | + | 0.391519i | ||||
\(519\) | 21.5848 | 0.947466 | ||||||||
\(520\) | 18.8184 | − | 37.2808i | 0.825243 | − | 1.63487i | ||||
\(521\) | − | 23.3284i | − | 1.02203i | −0.859571 | − | 0.511017i | \(-0.829269\pi\) | ||
0.859571 | − | 0.511017i | \(-0.170731\pi\) | |||||||
\(522\) | −2.14898 | + | 13.6796i | −0.0940583 | + | 0.598741i | ||||
\(523\) | − | 1.12071i | − | 0.0490051i | −0.999700 | − | 0.0245025i | \(-0.992200\pi\) | ||
0.999700 | − | 0.0245025i | \(-0.00780018\pi\) | |||||||
\(524\) | −10.2950 | + | 31.9583i | −0.449738 | + | 1.39611i | ||||
\(525\) | 3.79169 | 0.165483 | ||||||||
\(526\) | 18.7262 | + | 2.94177i | 0.816503 | + | 0.128267i | ||||
\(527\) | −6.57294 | −0.286322 | ||||||||
\(528\) | −16.7224 | − | 12.0213i | −0.727747 | − | 0.523158i | ||||
\(529\) | 14.2291 | 0.618655 | ||||||||
\(530\) | −6.41528 | + | 40.8373i | −0.278662 | + | 1.77386i | ||||
\(531\) | − | 0.539474i | − | 0.0234112i | ||||||
\(532\) | −2.56649 | + | 7.96707i | −0.111271 | + | 0.345416i | ||||
\(533\) | 4.68350 | 0.202865 | ||||||||
\(534\) | 2.97091 | − | 18.9117i | 0.128564 | − | 0.818390i | ||||
\(535\) | −2.53430 | −0.109567 | ||||||||
\(536\) | −13.3080 | + | 18.9446i | −0.574818 | + | 0.818281i | ||||
\(537\) | 25.0137 | 1.07942 | ||||||||
\(538\) | 0.652227 | − | 4.15183i | 0.0281195 | − | 0.178998i | ||||
\(539\) | 33.0589 | 1.42395 | ||||||||
\(540\) | −1.93751 | + | 6.01456i | −0.0833773 | + | 0.258826i | ||||
\(541\) | − | 2.12087i | − | 0.0911831i | −0.998960 | − | 0.0455916i | \(-0.985483\pi\) | ||
0.998960 | − | 0.0455916i | \(-0.0145173\pi\) | |||||||
\(542\) | −0.760507 | + | 4.84111i | −0.0326666 | + | 0.207943i | ||||
\(543\) | 7.26648 | 0.311835 | ||||||||
\(544\) | 7.11034 | − | 7.20046i | 0.304854 | − | 0.308717i | ||||
\(545\) | −12.4780 | −0.534499 | ||||||||
\(546\) | 4.96872 | + | 0.780554i | 0.212641 | + | 0.0334046i | ||||
\(547\) | 18.3469 | 0.784458 | 0.392229 | − | 0.919868i | \(-0.371704\pi\) | ||||
0.392229 | + | 0.919868i | \(0.371704\pi\) | |||||||
\(548\) | −2.30783 | + | 7.16412i | −0.0985856 | + | 0.306036i | ||||
\(549\) | − | 2.35281i | − | 0.100416i | ||||||
\(550\) | 5.62992 | − | 35.8380i | 0.240060 | − | 1.52814i | ||||
\(551\) | − | 53.8458i | − | 2.29391i | ||||||
\(552\) | 7.47793 | + | 3.77467i | 0.318282 | + | 0.160661i | ||||
\(553\) | 3.35802 | 0.142797 | ||||||||
\(554\) | 3.67687 | − | 23.4056i | 0.156215 | − | 0.994408i | ||||
\(555\) | − | 26.4790i | − | 1.12397i | ||||||
\(556\) | 22.0482 | + | 7.10255i | 0.935052 | + | 0.301215i | ||||
\(557\) | −17.1789 | −0.727891 | −0.363946 | − | 0.931420i | \(-0.618571\pi\) | ||||
−0.363946 | + | 0.931420i | \(0.618571\pi\) | |||||||
\(558\) | −0.806411 | + | 5.13332i | −0.0341381 | + | 0.217311i | ||||
\(559\) | − | 33.7532i | − | 1.42761i | ||||||
\(560\) | −5.61403 | + | 7.80948i | −0.237236 | + | 0.330011i | ||||
\(561\) | −9.21046 | −0.388866 | ||||||||
\(562\) | 42.7973 | + | 6.72318i | 1.80529 | + | 0.283600i | ||||
\(563\) | −5.23605 | −0.220673 | −0.110337 | − | 0.993894i | \(-0.535193\pi\) | ||||
−0.110337 | + | 0.993894i | \(0.535193\pi\) | |||||||
\(564\) | −7.16783 | + | 22.2509i | −0.301820 | + | 0.936930i | ||||
\(565\) | 18.9032 | 0.795264 | ||||||||
\(566\) | −26.9565 | − | 4.23470i | −1.13307 | − | 0.177998i | ||||
\(567\) | −0.761043 | −0.0319608 | ||||||||
\(568\) | −29.8896 | − | 15.0875i | −1.25414 | − | 0.633058i | ||||
\(569\) | 38.0114 | 1.59352 | 0.796761 | − | 0.604295i | \(-0.206545\pi\) | ||||
0.796761 | + | 0.604295i | \(0.206545\pi\) | |||||||
\(570\) | 3.81323 | − | 24.2736i | 0.159719 | − | 1.01671i | ||||
\(571\) | − | 17.6369i | − | 0.738081i | −0.929413 | − | 0.369041i | \(-0.879686\pi\) | ||
0.929413 | − | 0.369041i | \(-0.120314\pi\) | |||||||
\(572\) | 14.7551 | − | 45.8039i | 0.616943 | − | 1.91516i | ||||
\(573\) | 15.0240 | 0.627635 | ||||||||
\(574\) | −1.06558 | − | 0.167396i | −0.0444766 | − | 0.00698699i | ||||
\(575\) | 14.7553i | 0.615337i | ||||||||
\(576\) | −4.75105 | − | 6.43642i | −0.197961 | − | 0.268184i | ||||
\(577\) | − | 5.54549i | − | 0.230862i | −0.993316 | − | 0.115431i | \(-0.963175\pi\) | ||
0.993316 | − | 0.115431i | \(-0.0368249\pi\) | |||||||
\(578\) | −3.02869 | + | 19.2795i | −0.125977 | + | 0.801923i | ||||
\(579\) | −7.14965 | −0.297129 | ||||||||
\(580\) | 18.9713 | − | 58.8920i | 0.787741 | − | 2.44536i | ||||
\(581\) | 6.46674i | 0.268286i | ||||||||
\(582\) | −12.2952 | − | 1.93150i | −0.509654 | − | 0.0800634i | ||||
\(583\) | 47.6344i | 1.97282i | ||||||||
\(584\) | 9.56844 | − | 18.9558i | 0.395945 | − | 0.784398i | ||||
\(585\) | −14.7648 | −0.610449 | ||||||||
\(586\) | −7.09289 | + | 45.1507i | −0.293005 | + | 1.86516i | ||||
\(587\) | 39.7801 | 1.64190 | 0.820950 | − | 0.571000i | \(-0.193445\pi\) | ||||
0.820950 | + | 0.571000i | \(0.193445\pi\) | |||||||
\(588\) | 12.2231 | + | 3.93750i | 0.504071 | + | 0.162380i | ||||
\(589\) | − | 20.2058i | − | 0.832565i | ||||||
\(590\) | −0.374080 | + | 2.38125i | −0.0154006 | + | 0.0980346i | ||||
\(591\) | − | 0.740496i | − | 0.0304599i | ||||||
\(592\) | 27.2199 | + | 19.5677i | 1.11873 | + | 0.804226i | ||||
\(593\) | − | 36.6042i | − | 1.50315i | −0.659646 | − | 0.751576i | \(-0.729294\pi\) | ||
0.659646 | − | 0.751576i | \(-0.270706\pi\) | |||||||
\(594\) | −1.13000 | + | 7.19316i | −0.0463645 | + | 0.295139i | ||||
\(595\) | 4.30136i | 0.176339i | ||||||||
\(596\) | 1.95298 | + | 0.629128i | 0.0799973 | + | 0.0257701i | ||||
\(597\) | 13.5738i | 0.555538i | ||||||||
\(598\) | −3.03750 | + | 19.3356i | −0.124213 | + | 0.790692i | ||||
\(599\) | −41.8300 | −1.70913 | −0.854563 | − | 0.519348i | \(-0.826175\pi\) | ||||
−0.854563 | + | 0.519348i | \(0.826175\pi\) | |||||||
\(600\) | 6.35009 | − | 12.5800i | 0.259241 | − | 0.513577i | ||||
\(601\) | 9.98958 | 0.407484 | 0.203742 | − | 0.979025i | \(-0.434690\pi\) | ||||
0.203742 | + | 0.979025i | \(0.434690\pi\) | |||||||
\(602\) | −1.20640 | + | 7.67948i | −0.0491691 | + | 0.312992i | ||||
\(603\) | 8.09955 | + | 1.18208i | 0.329839 | + | 0.0481382i | ||||
\(604\) | 3.30972 | − | 10.2743i | 0.134671 | − | 0.418054i | ||||
\(605\) | − | 49.0009i | − | 1.99217i | ||||||
\(606\) | −2.95699 | − | 0.464524i | −0.120119 | − | 0.0188700i | ||||
\(607\) | 13.8115i | 0.560593i | 0.959914 | + | 0.280296i | \(0.0904327\pi\) | ||||
−0.959914 | + | 0.280296i | \(0.909567\pi\) | |||||||
\(608\) | 22.1349 | + | 21.8578i | 0.897687 | + | 0.886452i | ||||
\(609\) | 7.45181 | 0.301963 | ||||||||
\(610\) | −1.63148 | + | 10.3854i | −0.0660566 | + | 0.420492i | ||||
\(611\) | −54.6223 | −2.20978 | ||||||||
\(612\) | −3.40544 | − | 1.09702i | −0.137657 | − | 0.0443443i | ||||
\(613\) | 30.6329 | 1.23725 | 0.618625 | − | 0.785686i | \(-0.287690\pi\) | ||||
0.618625 | + | 0.785686i | \(0.287690\pi\) | |||||||
\(614\) | −5.68495 | − | 0.893069i | −0.229426 | − | 0.0360413i | ||||
\(615\) | 3.16643 | 0.127683 | ||||||||
\(616\) | −4.99418 | + | 9.89387i | −0.201221 | + | 0.398635i | ||||
\(617\) | 2.14651 | 0.0864153 | 0.0432076 | − | 0.999066i | \(-0.486242\pi\) | ||||
0.0432076 | + | 0.999066i | \(0.486242\pi\) | |||||||
\(618\) | 4.24565 | + | 0.666964i | 0.170785 | + | 0.0268292i | ||||
\(619\) | − | 37.2149i | − | 1.49579i | −0.663815 | − | 0.747897i | \(-0.731064\pi\) | ||
0.663815 | − | 0.747897i | \(-0.268936\pi\) | |||||||
\(620\) | 7.11904 | − | 22.0994i | 0.285908 | − | 0.887534i | ||||
\(621\) | − | 2.96158i | − | 0.118844i | ||||||
\(622\) | −4.94851 | + | 31.5004i | −0.198417 | + | 1.26305i | ||||
\(623\) | −10.3019 | −0.412739 | ||||||||
\(624\) | 10.9110 | − | 15.1779i | 0.436790 | − | 0.607603i | ||||
\(625\) | −25.0885 | −1.00354 | ||||||||
\(626\) | 28.8484 | + | 4.53191i | 1.15302 | + | 0.181131i | ||||
\(627\) | − | 28.3138i | − | 1.13074i | ||||||
\(628\) | −41.3389 | − | 13.3168i | −1.64960 | − | 0.531398i | ||||
\(629\) | 14.9924 | 0.597785 | ||||||||
\(630\) | 3.35927 | + | 0.527719i | 0.133836 | + | 0.0210248i | ||||
\(631\) | −33.0047 | −1.31390 | −0.656948 | − | 0.753936i | \(-0.728153\pi\) | ||||
−0.656948 | + | 0.753936i | \(0.728153\pi\) | |||||||
\(632\) | 5.62380 | − | 11.1412i | 0.223703 | − | 0.443173i | ||||
\(633\) | 26.1007i | 1.03741i | ||||||||
\(634\) | 3.04778 | − | 19.4010i | 0.121043 | − | 0.770513i | ||||
\(635\) | −11.0648 | −0.439092 | ||||||||
\(636\) | −5.67353 | + | 17.6122i | −0.224970 | + | 0.698368i | ||||
\(637\) | 30.0057i | 1.18887i | ||||||||
\(638\) | 11.0645 | − | 70.4324i | 0.438047 | − | 2.78845i | ||||
\(639\) | 11.8375i | 0.468286i | ||||||||
\(640\) | 16.5082 | + | 31.7050i | 0.652543 | + | 1.25325i | ||||
\(641\) | − | 5.64568i | − | 0.222991i | −0.993765 | − | 0.111495i | \(-0.964436\pi\) | ||
0.993765 | − | 0.111495i | \(-0.0355640\pi\) | |||||||
\(642\) | −1.12064 | − | 0.176045i | −0.0442280 | − | 0.00694794i | ||||
\(643\) | 18.7677i | 0.740125i | 0.929007 | + | 0.370063i | \(0.120664\pi\) | ||||
−0.929007 | + | 0.370063i | \(0.879336\pi\) | |||||||
\(644\) | 1.38218 | − | 4.29065i | 0.0544654 | − | 0.169075i | ||||
\(645\) | − | 22.8200i | − | 0.898536i | ||||||
\(646\) | 13.7437 | + | 2.15905i | 0.540738 | + | 0.0849465i | ||||
\(647\) | 19.8431 | 0.780112 | 0.390056 | − | 0.920791i | \(-0.372456\pi\) | ||||
0.390056 | + | 0.920791i | \(0.372456\pi\) | |||||||
\(648\) | −1.27455 | + | 2.52498i | −0.0500690 | + | 0.0991906i | ||||
\(649\) | 2.77760i | 0.109030i | ||||||||
\(650\) | 32.5281 | + | 5.10995i | 1.27586 | + | 0.200429i | ||||
\(651\) | 2.79632 | 0.109596 | ||||||||
\(652\) | −7.61000 | + | 23.6235i | −0.298030 | + | 0.925166i | ||||
\(653\) | − | 20.8367i | − | 0.815402i | −0.913116 | − | 0.407701i | \(-0.866331\pi\) | ||
0.913116 | − | 0.407701i | \(-0.133669\pi\) | |||||||
\(654\) | −5.51763 | − | 0.866785i | −0.215756 | − | 0.0338940i | ||||
\(655\) | −53.0405 | −2.07246 | ||||||||
\(656\) | −2.33996 | + | 3.25503i | −0.0913600 | + | 0.127088i | ||||
\(657\) | −7.50732 | −0.292888 | ||||||||
\(658\) | 12.4276 | + | 1.95230i | 0.484478 | + | 0.0761084i | ||||
\(659\) | − | 36.4813i | − | 1.42111i | −0.703641 | − | 0.710555i | \(-0.748444\pi\) | ||
0.703641 | − | 0.710555i | \(-0.251556\pi\) | |||||||
\(660\) | 9.97570 | − | 30.9672i | 0.388304 | − | 1.20540i | ||||
\(661\) | − | 26.5119i | − | 1.03119i | −0.856832 | − | 0.515596i | \(-0.827571\pi\) | ||
0.856832 | − | 0.515596i | \(-0.172429\pi\) | |||||||
\(662\) | 1.36177 | − | 8.66854i | 0.0529268 | − | 0.336912i | ||||
\(663\) | − | 8.35981i | − | 0.324668i | ||||||
\(664\) | 21.4553 | + | 10.8301i | 0.832626 | + | 0.420289i | ||||
\(665\) | −13.2228 | −0.512757 | ||||||||
\(666\) | 1.83936 | − | 11.7087i | 0.0712738 | − | 0.453703i | ||||
\(667\) | 28.9985i | 1.12283i | ||||||||
\(668\) | −14.5734 | + | 45.2396i | −0.563860 | + | 1.75037i | ||||
\(669\) | 12.4915i | 0.482948i | ||||||||
\(670\) | −34.9319 | − | 10.8341i | −1.34954 | − | 0.418558i | ||||
\(671\) | 12.1140i | 0.467654i | ||||||||
\(672\) | −3.02494 | + | 3.06328i | −0.116690 | + | 0.118169i | ||||
\(673\) | − | 22.4998i | − | 0.867303i | −0.901081 | − | 0.433651i | \(-0.857225\pi\) | ||
0.901081 | − | 0.433651i | \(-0.142775\pi\) | |||||||
\(674\) | −24.0400 | − | 3.77653i | −0.925987 | − | 0.145467i | ||||
\(675\) | −4.98223 | −0.191766 | ||||||||
\(676\) | 16.8259 | + | 5.42026i | 0.647152 | + | 0.208472i | ||||
\(677\) | 20.4581i | 0.786269i | 0.919481 | + | 0.393135i | \(0.128609\pi\) | ||||
−0.919481 | + | 0.393135i | \(0.871391\pi\) | |||||||
\(678\) | 8.35879 | + | 1.31311i | 0.321017 | + | 0.0504298i | ||||
\(679\) | 6.69769i | 0.257034i | ||||||||
\(680\) | 14.2710 | + | 7.20365i | 0.547268 | + | 0.276247i | ||||
\(681\) | − | 19.5880i | − | 0.750613i | ||||||
\(682\) | 4.15198 | − | 26.4300i | 0.158988 | − | 1.01206i | ||||
\(683\) | −35.4929 | −1.35810 | −0.679049 | − | 0.734093i | \(-0.737608\pi\) | ||||
−0.679049 | + | 0.734093i | \(0.737608\pi\) | |||||||
\(684\) | 3.37233 | − | 10.4686i | 0.128944 | − | 0.400278i | ||||
\(685\) | −11.8901 | −0.454298 | ||||||||
\(686\) | 2.24165 | − | 14.2695i | 0.0855866 | − | 0.544813i | ||||
\(687\) | − | 20.1069i | − | 0.767127i | ||||||
\(688\) | 23.4585 | + | 16.8637i | 0.894347 | + | 0.642922i | ||||
\(689\) | −43.2350 | −1.64712 | ||||||||
\(690\) | −2.05360 | + | 13.0725i | −0.0781794 | + | 0.497661i | ||||
\(691\) | − | 30.7924i | − | 1.17140i | −0.810529 | − | 0.585698i | \(-0.800820\pi\) | ||
0.810529 | − | 0.585698i | \(-0.199180\pi\) | |||||||
\(692\) | −41.0901 | − | 13.2367i | −1.56201 | − | 0.503182i | ||||
\(693\) | 3.91839 | 0.148847 | ||||||||
\(694\) | −0.275258 | + | 1.75219i | −0.0104486 | + | 0.0665122i | ||||
\(695\) | 36.5929i | 1.38805i | ||||||||
\(696\) | 12.4798 | − | 24.7235i | 0.473047 | − | 0.937144i | ||||
\(697\) | 1.79283i | 0.0679083i | ||||||||
\(698\) | −4.54152 | + | 28.9096i | −0.171899 | + | 1.09425i | ||||
\(699\) | 10.1151i | 0.382588i | ||||||||
\(700\) | −7.21810 | − | 2.32522i | −0.272819 | − | 0.0878850i | ||||
\(701\) | 21.7224i | 0.820442i | 0.911986 | + | 0.410221i | \(0.134548\pi\) | ||||
−0.911986 | + | 0.410221i | \(0.865452\pi\) | |||||||
\(702\) | −6.52882 | − | 1.02564i | −0.246414 | − | 0.0387102i | ||||
\(703\) | 46.0879i | 1.73824i | ||||||||
\(704\) | 24.4618 | + | 33.1393i | 0.921939 | + | 1.24898i | ||||
\(705\) | −36.9292 | −1.39083 | ||||||||
\(706\) | 16.8015 | + | 2.63941i | 0.632334 | + | 0.0993357i | ||||
\(707\) | 1.61079i | 0.0605798i | ||||||||
\(708\) | −0.330828 | + | 1.02698i | −0.0124333 | + | 0.0385962i | ||||
\(709\) | 10.8581 | 0.407786 | 0.203893 | − | 0.978993i | \(-0.434641\pi\) | ||||
0.203893 | + | 0.978993i | \(0.434641\pi\) | |||||||
\(710\) | 8.20834 | − | 52.2512i | 0.308053 | − | 1.96095i | ||||
\(711\) | −4.41239 | −0.165477 | ||||||||
\(712\) | −17.2531 | + | 34.1797i | −0.646586 | + | 1.28094i | ||||
\(713\) | 10.8818i | 0.407526i | ||||||||
\(714\) | −0.298794 | + | 1.90201i | −0.0111821 | + | 0.0711810i | ||||
\(715\) | 76.0196 | 2.84297 | ||||||||
\(716\) | −47.6177 | − | 15.3394i | −1.77956 | − | 0.573261i | ||||
\(717\) | −10.4706 | −0.391031 | ||||||||
\(718\) | 15.3757 | + | 2.41543i | 0.573817 | + | 0.0901430i | ||||
\(719\) | 10.3815i | 0.387163i | 0.981084 | + | 0.193581i | \(0.0620104\pi\) | ||||
−0.981084 | + | 0.193581i | \(0.937990\pi\) | |||||||
\(720\) | 7.37675 | − | 10.2615i | 0.274915 | − | 0.382425i | ||||
\(721\) | − | 2.31277i | − | 0.0861320i | ||||||
\(722\) | −2.46712 | + | 15.7048i | −0.0918168 | + | 0.584472i | ||||
\(723\) | 12.9470 | 0.481504 | ||||||||
\(724\) | −13.8329 | − | 4.45610i | −0.514097 | − | 0.165610i | ||||
\(725\) | 48.7839 | 1.81179 | ||||||||
\(726\) | 3.40385 | − | 21.6676i | 0.126329 | − | 0.804161i | ||||
\(727\) | 52.6865 | 1.95403 | 0.977017 | − | 0.213160i | \(-0.0683756\pi\) | ||||
0.977017 | + | 0.213160i | \(0.0683756\pi\) | |||||||
\(728\) | −8.98010 | − | 4.53293i | −0.332824 | − | 0.168002i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 33.1375 | + | 5.20569i | 1.22647 | + | 0.192671i | ||||
\(731\) | 12.9206 | 0.477887 | ||||||||
\(732\) | −1.44284 | + | 4.47897i | −0.0533290 | + | 0.165547i | ||||
\(733\) | 3.17334i | 0.117210i | 0.998281 | + | 0.0586050i | \(0.0186652\pi\) | ||||
−0.998281 | + | 0.0586050i | \(0.981335\pi\) | |||||||
\(734\) | 2.95140 | − | 18.7875i | 0.108938 | − | 0.693460i | ||||
\(735\) | 20.2863i | 0.748273i | ||||||||
\(736\) | −11.9207 | − | 11.7715i | −0.439402 | − | 0.433903i | ||||
\(737\) | −41.7022 | − | 6.08621i | −1.53612 | − | 0.224189i | ||||
\(738\) | 1.40016 | + | 0.219956i | 0.0515406 | + | 0.00809671i | ||||
\(739\) | 24.0808 | 0.885826 | 0.442913 | − | 0.896565i | \(-0.353945\pi\) | ||||
0.442913 | + | 0.896565i | \(0.353945\pi\) | |||||||
\(740\) | −16.2380 | + | 50.4071i | −0.596920 | + | 1.85300i | ||||
\(741\) | 25.6988 | 0.944069 | ||||||||
\(742\) | 9.83678 | + | 1.54530i | 0.361120 | + | 0.0567296i | ||||
\(743\) | − | 49.0043i | − | 1.79779i | −0.438160 | − | 0.898897i | \(-0.644370\pi\) | ||
0.438160 | − | 0.898897i | \(-0.355630\pi\) | |||||||
\(744\) | 4.68309 | − | 9.27758i | 0.171691 | − | 0.340133i | ||||
\(745\) | 3.24132i | 0.118753i | ||||||||
\(746\) | 50.2045 | + | 7.88680i | 1.83812 | + | 0.288756i | ||||
\(747\) | − | 8.49721i | − | 0.310896i | ||||||
\(748\) | 17.5336 | + | 5.64823i | 0.641093 | + | 0.206520i | ||||
\(749\) | 0.610454i | 0.0223055i | ||||||||
\(750\) | −0.0784487 | − | 0.0123238i | −0.00286454 | − | 0.000450001i | ||||
\(751\) | 7.55434i | 0.275662i | 0.990456 | + | 0.137831i | \(0.0440130\pi\) | ||||
−0.990456 | + | 0.137831i | \(0.955987\pi\) | |||||||
\(752\) | 27.2903 | − | 37.9625i | 0.995173 | − | 1.38435i | ||||
\(753\) | −16.0783 | −0.585924 | ||||||||
\(754\) | 63.9275 | + | 10.0426i | 2.32810 | + | 0.365730i | ||||
\(755\) | 17.0520 | 0.620584 | ||||||||
\(756\) | 1.44877 | + | 0.466703i | 0.0526913 | + | 0.0169738i | ||||
\(757\) | − | 15.3960i | − | 0.559576i | −0.960062 | − | 0.279788i | \(-0.909736\pi\) | ||
0.960062 | − | 0.279788i | \(-0.0902642\pi\) | |||||||
\(758\) | −6.44420 | + | 41.0214i | −0.234064 | + | 1.48996i | ||||
\(759\) | 15.2483i | 0.553479i | ||||||||
\(760\) | −22.1447 | + | 43.8703i | −0.803271 | + | 1.59134i | ||||
\(761\) | −4.51530 | −0.163680 | −0.0818398 | − | 0.996646i | \(-0.526080\pi\) | ||||
−0.0818398 | + | 0.996646i | \(0.526080\pi\) | |||||||
\(762\) | −4.89272 | − | 0.768615i | −0.177244 | − | 0.0278440i | ||||
\(763\) | 3.00567i | 0.108812i | ||||||||
\(764\) | −28.6006 | − | 9.21331i | −1.03473 | − | 0.333326i | ||||
\(765\) | − | 5.65193i | − | 0.204346i | ||||||
\(766\) | −4.87163 | + | 31.0110i | −0.176019 | + | 1.12047i | ||||
\(767\) | −2.52107 | −0.0910304 | ||||||||
\(768\) | 5.09734 | + | 15.1663i | 0.183934 | + | 0.547267i | ||||
\(769\) | 7.38615i | 0.266351i | 0.991092 | + | 0.133176i | \(0.0425174\pi\) | ||||
−0.991092 | + | 0.133176i | \(0.957483\pi\) | |||||||
\(770\) | −17.2959 | − | 2.71707i | −0.623301 | − | 0.0979166i | ||||
\(771\) | −8.88242 | −0.319893 | ||||||||
\(772\) | 13.6105 | + | 4.38446i | 0.489854 | + | 0.157800i | ||||
\(773\) | −24.3889 | −0.877206 | −0.438603 | − | 0.898681i | \(-0.644527\pi\) | ||||
−0.438603 | + | 0.898681i | \(0.644527\pi\) | |||||||
\(774\) | 1.58519 | − | 10.0907i | 0.0569785 | − | 0.362704i | ||||
\(775\) | 18.3063 | 0.657581 | ||||||||
\(776\) | 22.2215 | + | 11.2169i | 0.797706 | + | 0.402662i | ||||
\(777\) | −6.37818 | −0.228816 | ||||||||
\(778\) | −1.38161 | + | 8.79483i | −0.0495332 | + | 0.315310i | ||||
\(779\) | −5.51132 | −0.197464 | ||||||||
\(780\) | 28.1072 | + | 9.05437i | 1.00640 | + | 0.324199i | ||||
\(781\) | − | 60.9481i | − | 2.18089i | ||||||
\(782\) | −7.40163 | − | 1.16275i | −0.264682 | − | 0.0415798i | ||||
\(783\) | −9.79158 | −0.349922 | ||||||||
\(784\) | −20.8540 | − | 14.9914i | −0.744785 | − | 0.535406i | ||||
\(785\) | − | 68.6092i | − | 2.44877i | ||||||
\(786\) | −23.4539 | − | 3.68446i | −0.836573 | − | 0.131420i | ||||
\(787\) | −35.2246 | −1.25562 | −0.627810 | − | 0.778366i | \(-0.716049\pi\) | ||||
−0.627810 | + | 0.778366i | \(0.716049\pi\) | |||||||
\(788\) | −0.454102 | + | 1.40966i | −0.0161767 | + | 0.0502169i | ||||
\(789\) | 13.4038i | 0.477190i | ||||||||
\(790\) | 19.4764 | + | 3.05962i | 0.692939 | + | 0.108856i | ||||
\(791\) | − | 4.55335i | − | 0.161899i | ||||||
\(792\) | 6.56228 | − | 13.0004i | 0.233180 | − | 0.461949i | ||||
\(793\) | −10.9952 | −0.390449 | ||||||||
\(794\) | 5.45376 | − | 34.7166i | 0.193547 | − | 1.23205i | ||||
\(795\) | −29.2305 | −1.03670 | ||||||||
\(796\) | 8.32399 | − | 25.8399i | 0.295036 | − | 0.915871i | ||||
\(797\) | 16.2956 | 0.577219 | 0.288610 | − | 0.957447i | \(-0.406807\pi\) | ||||
0.288610 | + | 0.957447i | \(0.406807\pi\) | |||||||
\(798\) | −5.84696 | − | 0.918520i | −0.206980 | − | 0.0325152i | ||||
\(799\) | − | 20.9093i | − | 0.739717i | ||||||
\(800\) | −19.8030 | + | 20.0540i | −0.700142 | + | 0.709016i | ||||
\(801\) | 13.5366 | 0.478292 | ||||||||
\(802\) | 31.4830 | + | 4.94578i | 1.11170 | + | 0.174642i | ||||
\(803\) | 38.6530 | 1.36404 | ||||||||
\(804\) | −14.6939 | − | 7.21727i | −0.518214 | − | 0.254533i | ||||
\(805\) | 7.12109 | 0.250985 | ||||||||
\(806\) | 23.9890 | + | 3.76851i | 0.844975 | + | 0.132740i | ||||
\(807\) | 2.97179 | 0.104612 | ||||||||
\(808\) | 5.34424 | + | 2.69764i | 0.188010 | + | 0.0949027i | ||||
\(809\) | − | 25.9833i | − | 0.913524i | −0.889589 | − | 0.456762i | \(-0.849009\pi\) | ||
0.889589 | − | 0.456762i | \(-0.150991\pi\) | |||||||
\(810\) | −4.41403 | − | 0.693416i | −0.155093 | − | 0.0243641i | ||||
\(811\) | −34.0304 | −1.19497 | −0.597484 | − | 0.801881i | \(-0.703833\pi\) | ||||
−0.597484 | + | 0.801881i | \(0.703833\pi\) | |||||||
\(812\) | −14.1858 | − | 4.56976i | −0.497822 | − | 0.160367i | ||||
\(813\) | −3.46516 | −0.121529 | ||||||||
\(814\) | −9.47035 | + | 60.2847i | −0.331935 | + | 2.11298i | ||||
\(815\) | −39.2073 | −1.37337 | ||||||||
\(816\) | 5.81007 | + | 4.17671i | 0.203393 | + | 0.146214i | ||||
\(817\) | 39.7192i | 1.38960i | ||||||||
\(818\) | 23.5733 | + | 3.70321i | 0.824220 | + | 0.129480i | ||||
\(819\) | 3.55650i | 0.124274i | ||||||||
\(820\) | −6.02782 | − | 1.94179i | −0.210501 | − | 0.0678101i | ||||
\(821\) | −10.3445 | −0.361027 | −0.180513 | − | 0.983573i | \(-0.557776\pi\) | ||||
−0.180513 | + | 0.983573i | \(0.557776\pi\) | |||||||
\(822\) | −5.25768 | − | 0.825948i | −0.183382 | − | 0.0288082i | ||||
\(823\) | − | 47.5724i | − | 1.65827i | −0.559050 | − | 0.829134i | \(-0.688834\pi\) | ||
0.559050 | − | 0.829134i | \(-0.311166\pi\) | |||||||
\(824\) | −7.67328 | − | 3.87328i | −0.267311 | − | 0.134932i | ||||
\(825\) | 25.6521 | 0.893090 | ||||||||
\(826\) | 0.573589 | + | 0.0901073i | 0.0199577 | + | 0.00313523i | ||||
\(827\) | 16.7232i | 0.581523i | 0.956796 | + | 0.290762i | \(0.0939087\pi\) | ||||
−0.956796 | + | 0.290762i | \(0.906091\pi\) | |||||||
\(828\) | −1.81616 | + | 5.63785i | −0.0631159 | + | 0.195929i | ||||
\(829\) | 34.6867 | 1.20472 | 0.602359 | − | 0.798226i | \(-0.294228\pi\) | ||||
0.602359 | + | 0.798226i | \(0.294228\pi\) | |||||||
\(830\) | −5.89209 | + | 37.5069i | −0.204518 | + | 1.30188i | ||||
\(831\) | 16.7532 | 0.581163 | ||||||||
\(832\) | −30.0786 | + | 22.2026i | −1.04279 | + | 0.769736i | ||||
\(833\) | −11.4861 | −0.397970 | ||||||||
\(834\) | −2.54193 | + | 16.1810i | −0.0880197 | + | 0.560301i | ||||
\(835\) | −75.0831 | −2.59836 | ||||||||
\(836\) | −17.3632 | + | 53.8999i | −0.600518 | + | 1.86417i | ||||
\(837\) | −3.67432 | −0.127003 | ||||||||
\(838\) | 24.9004 | + | 3.91170i | 0.860171 | + | 0.135127i | ||||
\(839\) | − | 8.59696i | − | 0.296800i | −0.988927 | − | 0.148400i | \(-0.952588\pi\) | ||
0.988927 | − | 0.148400i | \(-0.0474123\pi\) | |||||||
\(840\) | −6.07129 | − | 3.06464i | −0.209479 | − | 0.105740i | ||||
\(841\) | 66.8750 | 2.30603 | ||||||||
\(842\) | 2.56292 | − | 16.3146i | 0.0883240 | − | 0.562238i | ||||
\(843\) | 30.6334i | 1.05507i | ||||||||
\(844\) | 16.0060 | − | 49.6869i | 0.550950 | − | 1.71029i | ||||
\(845\) | 27.9256i | 0.960671i | ||||||||
\(846\) | −16.3297 | − | 2.56529i | −0.561426 | − | 0.0881964i | ||||
\(847\) | −11.8032 | −0.405563 | ||||||||
\(848\) | 21.6010 | − | 30.0484i | 0.741781 | − | 1.03187i | ||||
\(849\) | − | 19.2949i | − | 0.662200i | ||||||
\(850\) | −1.95608 | + | 12.4517i | −0.0670929 | + | 0.427089i | ||||
\(851\) | − | 24.8205i | − | 0.850836i | ||||||
\(852\) | 7.25926 | − | 22.5347i | 0.248698 | − | 0.772026i | ||||
\(853\) | −35.6459 | −1.22049 | −0.610247 | − | 0.792211i | \(-0.708930\pi\) | ||||
−0.610247 | + | 0.792211i | \(0.708930\pi\) | |||||||
\(854\) | 2.50160 | + | 0.392986i | 0.0856031 | + | 0.0134477i | ||||
\(855\) | 17.3745 | 0.594196 | ||||||||
\(856\) | 2.02536 | + | 1.02235i | 0.0692253 | + | 0.0349432i | ||||
\(857\) | 33.1171i | 1.13126i | 0.824660 | + | 0.565629i | \(0.191367\pi\) | ||||
−0.824660 | + | 0.565629i | \(0.808633\pi\) | |||||||
\(858\) | 33.6150 | + | 5.28071i | 1.14760 | + | 0.180280i | ||||
\(859\) | 2.72132i | 0.0928504i | 0.998922 | + | 0.0464252i | \(0.0147829\pi\) | ||||
−0.998922 | + | 0.0464252i | \(0.985217\pi\) | |||||||
\(860\) | −13.9941 | + | 43.4416i | −0.477196 | + | 1.48135i | ||||
\(861\) | − | 0.762722i | − | 0.0259935i | ||||||
\(862\) | −17.3799 | − | 2.73028i | −0.591963 | − | 0.0929936i | ||||
\(863\) | 7.88270i | 0.268330i | 0.990959 | + | 0.134165i | \(0.0428352\pi\) | ||||
−0.990959 | + | 0.134165i | \(0.957165\pi\) | |||||||
\(864\) | 3.97473 | − | 4.02511i | 0.135223 | − | 0.136937i | ||||
\(865\) | − | 68.1963i | − | 2.31874i | ||||||
\(866\) | 2.17261 | + | 0.341304i | 0.0738284 | + | 0.0115980i | ||||
\(867\) | −13.7999 | −0.468669 | ||||||||
\(868\) | −5.32324 | − | 1.71481i | −0.180683 | − | 0.0582046i | ||||
\(869\) | 22.7181 | 0.770659 | ||||||||
\(870\) | 43.2203 | + | 6.78963i | 1.46530 | + | 0.230190i | ||||
\(871\) | 5.52411 | − | 37.8507i | 0.187177 | − | 1.28252i | ||||
\(872\) | 9.97216 | + | 5.03370i | 0.337700 | + | 0.170463i | ||||
\(873\) | − | 8.80067i | − | 0.297857i | ||||||
\(874\) | 3.57439 | − | 22.7533i | 0.120906 | − | 0.769640i | ||||
\(875\) | 0.0427340i | 0.00144467i | ||||||||
\(876\) | 14.2914 | + | 4.60380i | 0.482862 | + | 0.155548i | ||||
\(877\) | −17.9775 | −0.607058 | −0.303529 | − | 0.952822i | \(-0.598165\pi\) | ||||
−0.303529 | + | 0.952822i | \(0.598165\pi\) | |||||||
\(878\) | 48.0227 | + | 7.54407i | 1.62069 | + | 0.254600i | ||||
\(879\) | −32.3179 | −1.09006 | ||||||||
\(880\) | −37.9808 | + | 52.8337i | −1.28033 | + | 1.78102i | ||||
\(881\) | 31.0253 | 1.04527 | 0.522634 | − | 0.852557i | \(-0.324949\pi\) | ||||
0.522634 | + | 0.852557i | \(0.324949\pi\) | |||||||
\(882\) | −1.40919 | + | 8.97039i | −0.0474499 | + | 0.302049i | ||||
\(883\) | 34.7113 | 1.16813 | 0.584065 | − | 0.811707i | \(-0.301461\pi\) | ||||
0.584065 | + | 0.811707i | \(0.301461\pi\) | |||||||
\(884\) | −5.12658 | + | 15.9143i | −0.172425 | + | 0.535255i | ||||
\(885\) | −1.70445 | −0.0572945 | ||||||||
\(886\) | −2.69481 | + | 17.1542i | −0.0905339 | + | 0.576305i | ||||
\(887\) | − | 14.8905i | − | 0.499973i | −0.968249 | − | 0.249987i | \(-0.919574\pi\) | ||
0.968249 | − | 0.249987i | \(-0.0804262\pi\) | |||||||
\(888\) | −10.6818 | + | 21.1615i | −0.358457 | + | 0.710132i | ||||
\(889\) | 2.66525i | 0.0893896i | ||||||||
\(890\) | −59.7509 | − | 9.38649i | −2.00286 | − | 0.314636i | ||||
\(891\) | −5.14871 | −0.172488 | ||||||||
\(892\) | 7.66027 | − | 23.7795i | 0.256485 | − | 0.796198i | ||||
\(893\) | 64.2770 | 2.15095 | ||||||||
\(894\) | −0.225158 | + | 1.43327i | −0.00753042 | + | 0.0479359i | ||||
\(895\) | − | 79.0300i | − | 2.64168i | ||||||
\(896\) | 7.63700 | − | 3.97644i | 0.255134 | − | 0.132844i | ||||
\(897\) | −13.8400 | −0.462105 | ||||||||
\(898\) | 1.32805 | − | 8.45384i | 0.0443174 | − | 0.282108i | ||||
\(899\) | 35.9774 | 1.19991 | ||||||||
\(900\) | 9.48449 | + | 3.05531i | 0.316150 | + | 0.101844i | ||||
\(901\) | − | 16.5503i | − | 0.551369i | ||||||
\(902\) | −7.20902 | − | 1.13249i | −0.240034 | − | 0.0377079i | ||||
\(903\) | −5.49681 | −0.182922 | ||||||||
\(904\) | −15.1071 | − | 7.62567i | −0.502454 | − | 0.253626i | ||||
\(905\) | − | 22.9582i | − | 0.763157i | ||||||
\(906\) | 7.54018 | + | 1.18451i | 0.250506 | + | 0.0393529i | ||||
\(907\) | − | 10.0868i | − | 0.334925i | −0.985878 | − | 0.167463i | \(-0.946443\pi\) | ||
0.985878 | − | 0.167463i | \(-0.0535573\pi\) | |||||||
\(908\) | −12.0121 | + | 37.2889i | −0.398637 | + | 1.23748i | ||||
\(909\) | − | 2.11655i | − | 0.0702015i | ||||||
\(910\) | 2.46613 | − | 15.6985i | 0.0817515 | − | 0.520400i | ||||
\(911\) | 50.7500i | 1.68142i | 0.541483 | + | 0.840712i | \(0.317863\pi\) | ||||
−0.541483 | + | 0.840712i | \(0.682137\pi\) | |||||||
\(912\) | −12.8396 | + | 17.8607i | −0.425161 | + | 0.591426i | ||||
\(913\) | 43.7497i | 1.44790i | ||||||||
\(914\) | −2.31932 | + | 14.7639i | −0.0767164 | + | 0.488348i | ||||
\(915\) | −7.43364 | −0.245749 | ||||||||
\(916\) | −12.3304 | + | 38.2768i | −0.407407 | + | 1.26470i | ||||
\(917\) | 12.7762i | 0.421909i | ||||||||
\(918\) | 0.392611 | − | 2.49922i | 0.0129581 | − | 0.0824865i | ||||
\(919\) | −43.3546 | −1.43014 | −0.715068 | − | 0.699055i | \(-0.753604\pi\) | ||||
−0.715068 | + | 0.699055i | \(0.753604\pi\) | |||||||
\(920\) | 11.9260 | − | 23.6263i | 0.393187 | − | 0.778935i | ||||
\(921\) | − | 4.06916i | − | 0.134083i | ||||||
\(922\) | 2.09389 | − | 13.3289i | 0.0689587 | − | 0.438965i | ||||
\(923\) | 55.3191 | 1.82085 | ||||||||
\(924\) | −7.45930 | − | 2.40292i | −0.245393 | − | 0.0790502i | ||||
\(925\) | −41.7552 | −1.37290 | ||||||||
\(926\) | 4.29798 | − | 27.3593i | 0.141240 | − | 0.899084i | ||||
\(927\) | 3.03894i | 0.0998120i | ||||||||
\(928\) | −38.9189 | + | 39.4122i | −1.27758 | + | 1.29377i | ||||
\(929\) | 30.2431i | 0.992243i | 0.868253 | + | 0.496122i | \(0.165243\pi\) | ||||
−0.868253 | + | 0.496122i | \(0.834757\pi\) | |||||||
\(930\) | 16.2185 | + | 2.54783i | 0.531827 | + | 0.0835466i | ||||
\(931\) | − | 35.3093i | − | 1.15722i | ||||||
\(932\) | 6.20299 | − | 19.2557i | 0.203186 | − | 0.630742i | ||||
\(933\) | −22.5473 | −0.738166 | ||||||||
\(934\) | 4.26564 | + | 0.670105i | 0.139576 | + | 0.0219265i | ||||
\(935\) | 29.1001i | 0.951676i | ||||||||
\(936\) | 11.7997 | + | 5.95621i | 0.385686 | + | 0.194685i | ||||
\(937\) | − | 45.3233i | − | 1.48065i | −0.672251 | − | 0.740324i | \(-0.734672\pi\) | ||
0.672251 | − | 0.740324i | \(-0.265328\pi\) | |||||||
\(938\) | −2.60969 | + | 8.41431i | −0.0852094 | + | 0.274737i | ||||
\(939\) | 20.6491i | 0.673858i | ||||||||
\(940\) | 70.3008 | + | 22.6465i | 2.29296 | + | 0.738648i | ||||
\(941\) | − | 23.7609i | − | 0.774583i | −0.921957 | − | 0.387292i | \(-0.873411\pi\) | ||
0.921957 | − | 0.387292i | \(-0.126589\pi\) | |||||||
\(942\) | 4.76594 | − | 30.3382i | 0.155283 | − | 0.988472i | ||||
\(943\) | 2.96811 | 0.0966549 | ||||||||
\(944\) | 1.25957 | − | 1.75214i | 0.0409955 | − | 0.0570274i | ||||
\(945\) | 2.40449i | 0.0782181i | ||||||||
\(946\) | −8.16169 | + | 51.9543i | −0.265359 | + | 1.68918i | ||||
\(947\) | 10.2912i | 0.334419i | 0.985921 | + | 0.167209i | \(0.0534756\pi\) | ||||
−0.985921 | + | 0.167209i | \(0.946524\pi\) | |||||||
\(948\) | 8.39970 | + | 2.70586i | 0.272810 | + | 0.0878821i | ||||
\(949\) | 35.0831i | 1.13885i | ||||||||
\(950\) | −38.2775 | − | 6.01316i | −1.24189 | − | 0.195093i | ||||
\(951\) | 13.8868 | 0.450311 | ||||||||
\(952\) | 1.73520 | − | 3.43756i | 0.0562380 | − | 0.111412i | ||||
\(953\) | 55.6027 | 1.80115 | 0.900575 | − | 0.434702i | \(-0.143146\pi\) | ||||
0.900575 | + | 0.434702i | \(0.143146\pi\) | |||||||
\(954\) | −12.9254 | − | 2.03050i | −0.418475 | − | 0.0657397i | ||||
\(955\) | − | 47.4677i | − | 1.53602i | ||||||
\(956\) | 19.9325 | + | 6.42100i | 0.644663 | + | 0.207670i | ||||
\(957\) | 50.4140 | 1.62965 | ||||||||
\(958\) | 27.2288 | + | 4.27747i | 0.879723 | + | 0.138199i | ||||
\(959\) | 2.86406i | 0.0924853i | ||||||||
\(960\) | −20.3356 | + | 15.0108i | −0.656330 | + | 0.484471i | ||||
\(961\) | −17.4994 | −0.564496 | ||||||||
\(962\) | −54.7170 | − | 8.59569i | −1.76415 | − | 0.277136i | ||||
\(963\) | − | 0.802128i | − | 0.0258482i | ||||||
\(964\) | −24.6467 | − | 7.93962i | −0.793817 | − | 0.255718i | ||||
\(965\) | 22.5891i | 0.727168i | ||||||||
\(966\) | 3.14886 | + | 0.494666i | 0.101313 | + | 0.0159156i | ||||
\(967\) | − | 17.7360i | − | 0.570351i | −0.958475 | − | 0.285176i | \(-0.907948\pi\) | ||
0.958475 | − | 0.285176i | \(-0.0920519\pi\) | |||||||
\(968\) | −19.7673 | + | 39.1605i | −0.635344 | + | 1.25867i | ||||
\(969\) | 9.83744i | 0.316024i | ||||||||
\(970\) | −6.10252 | + | 38.8464i | −0.195940 | + | 1.24728i | ||||
\(971\) | 22.1875i | 0.712032i | 0.934480 | + | 0.356016i | \(0.115865\pi\) | ||||
−0.934480 | + | 0.356016i | \(0.884135\pi\) | |||||||
\(972\) | −1.90366 | − | 0.613241i | −0.0610600 | − | 0.0196697i | ||||
\(973\) | 8.81439 | 0.282576 | ||||||||
\(974\) | −3.95062 | + | 25.1482i | −0.126586 | + | 0.805800i | ||||
\(975\) | 23.2829i | 0.745650i | ||||||||
\(976\) | 5.49337 | − | 7.64164i | 0.175839 | − | 0.244603i | ||||
\(977\) | −21.9267 | −0.701496 | −0.350748 | − | 0.936470i | \(-0.614073\pi\) | ||||
−0.350748 | + | 0.936470i | \(0.614073\pi\) | |||||||
\(978\) | −17.3370 | − | 2.72354i | −0.554377 | − | 0.0870891i | ||||
\(979\) | −69.6961 | −2.22750 | ||||||||
\(980\) | 12.4404 | − | 38.6184i | 0.397394 | − | 1.23362i | ||||
\(981\) | − | 3.94940i | − | 0.126095i | ||||||
\(982\) | 34.4301 | + | 5.40875i | 1.09871 | + | 0.172600i | ||||
\(983\) | −41.1149 | −1.31136 | −0.655681 | − | 0.755038i | \(-0.727618\pi\) | ||||
−0.655681 | + | 0.755038i | \(0.727618\pi\) | |||||||
\(984\) | −2.53055 | − | 1.27736i | −0.0806709 | − | 0.0407207i | ||||
\(985\) | −2.33957 | −0.0745450 | ||||||||
\(986\) | −3.84428 | + | 24.4713i | −0.122427 | + | 0.779324i | ||||
\(987\) | 8.89541i | 0.283144i | ||||||||
\(988\) | −48.9219 | − | 15.7595i | −1.55641 | − | 0.501378i | ||||
\(989\) | − | 21.3907i | − | 0.680184i | ||||||
\(990\) | 22.7265 | + | 3.57020i | 0.722297 | + | 0.113468i | ||||
\(991\) | 38.7393 | 1.23060 | 0.615298 | − | 0.788295i | \(-0.289036\pi\) | ||||
0.615298 | + | 0.788295i | \(0.289036\pi\) | |||||||
\(992\) | −14.6044 | + | 14.7895i | −0.463691 | + | 0.469568i | ||||
\(993\) | 6.20476 | 0.196902 | ||||||||
\(994\) | −12.5861 | − | 1.97720i | −0.399208 | − | 0.0627130i | ||||
\(995\) | 42.8859 | 1.35957 | ||||||||
\(996\) | −5.21083 | + | 16.1758i | −0.165112 | + | 0.512551i | ||||
\(997\) | 22.3693 | 0.708443 | 0.354221 | − | 0.935162i | \(-0.384746\pi\) | ||||
0.354221 | + | 0.935162i | \(0.384746\pi\) | |||||||
\(998\) | 4.00010 | − | 25.4631i | 0.126621 | − | 0.806022i | ||||
\(999\) | 8.38084 | 0.265158 |
(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 | 804.2.e.b.535.17 | yes | 34 | |
4.3 | odd | 2 | 804.2.e.a.535.17 | ✓ | 34 | ||
67.66 | odd | 2 | 804.2.e.a.535.18 | yes | 34 | ||
268.267 | even | 2 | inner | 804.2.e.b.535.18 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.17 | ✓ | 34 | 4.3 | odd | 2 | ||
804.2.e.a.535.18 | yes | 34 | 67.66 | odd | 2 | ||
804.2.e.b.535.17 | yes | 34 | 1.1 | even | 1 | trivial | |
804.2.e.b.535.18 | yes | 34 | 268.267 | even | 2 | inner |