Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,8,Mod(7,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.7");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.f (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.5582459429\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.8 | ||
Character | \(\chi\) | \(=\) | 37.7 |
Dual form | 37.8.f.a.16.8 |
$q$-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 \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.31992 | + | 1.93629i | −0.470219 | + | 0.171146i | −0.566252 | − | 0.824232i | \(-0.691607\pi\) |
0.0960325 | + | 0.995378i | \(0.469385\pi\) | |||||||
\(3\) | 16.2628 | + | 5.91916i | 0.347752 | + | 0.126571i | 0.509990 | − | 0.860180i | \(-0.329649\pi\) |
−0.162238 | + | 0.986752i | \(0.551871\pi\) | |||||||
\(4\) | −73.5013 | + | 61.6750i | −0.574229 | + | 0.481836i | ||||
\(5\) | 5.57004 | + | 31.5893i | 0.0199280 | + | 0.113017i | 0.993149 | − | 0.116854i | \(-0.0372808\pi\) |
−0.973221 | + | 0.229871i | \(0.926170\pi\) | |||||||
\(6\) | −97.9779 | −0.185182 | ||||||||
\(7\) | 125.391 | + | 711.126i | 0.138173 | + | 0.783616i | 0.972598 | + | 0.232495i | \(0.0746888\pi\) |
−0.834425 | + | 0.551122i | \(0.814200\pi\) | |||||||
\(8\) | 633.927 | − | 1097.99i | 0.437748 | − | 0.758202i | ||||
\(9\) | −1445.90 | − | 1213.25i | −0.661133 | − | 0.554757i | ||||
\(10\) | −90.7982 | − | 157.267i | −0.0287129 | − | 0.0497322i | ||||
\(11\) | −1429.88 | + | 2476.62i | −0.323911 | + | 0.561030i | −0.981291 | − | 0.192529i | \(-0.938331\pi\) |
0.657381 | + | 0.753559i | \(0.271664\pi\) | |||||||
\(12\) | −1560.40 | + | 567.939i | −0.260676 | + | 0.0948784i | ||||
\(13\) | 4088.44 | − | 3430.61i | 0.516126 | − | 0.433081i | −0.347153 | − | 0.937809i | \(-0.612851\pi\) |
0.863279 | + | 0.504727i | \(0.168407\pi\) | |||||||
\(14\) | −2044.02 | − | 3540.34i | −0.199084 | − | 0.344824i | ||||
\(15\) | −96.3977 | + | 546.699i | −0.00737475 | + | 0.0418243i | ||||
\(16\) | 886.256 | − | 5026.21i | 0.0540928 | − | 0.306775i | ||||
\(17\) | −16632.8 | − | 13956.6i | −0.821095 | − | 0.688981i | 0.132133 | − | 0.991232i | \(-0.457817\pi\) |
−0.953228 | + | 0.302251i | \(0.902262\pi\) | |||||||
\(18\) | 10041.3 | + | 3654.73i | 0.405822 | + | 0.147707i | ||||
\(19\) | −48474.3 | − | 17643.2i | −1.62134 | − | 0.590120i | −0.637704 | − | 0.770282i | \(-0.720116\pi\) |
−0.983637 | + | 0.180162i | \(0.942338\pi\) | |||||||
\(20\) | −2357.67 | − | 1978.32i | −0.0658989 | − | 0.0552957i | ||||
\(21\) | −2170.07 | + | 12307.1i | −0.0511336 | + | 0.289993i | ||||
\(22\) | 2811.38 | − | 15944.1i | 0.0562911 | − | 0.319243i | ||||
\(23\) | −54890.2 | − | 95072.6i | −0.940692 | − | 1.62933i | −0.764156 | − | 0.645032i | \(-0.776844\pi\) |
−0.176536 | − | 0.984294i | \(-0.556489\pi\) | |||||||
\(24\) | 16808.6 | − | 14104.1i | 0.248195 | − | 0.208260i | ||||
\(25\) | 72446.6 | − | 26368.4i | 0.927317 | − | 0.337516i | ||||
\(26\) | −15107.5 | + | 26167.0i | −0.168572 | + | 0.291976i | ||||
\(27\) | −35257.5 | − | 61067.8i | −0.344729 | − | 0.597089i | ||||
\(28\) | −53075.0 | − | 44535.3i | −0.456917 | − | 0.383399i | ||||
\(29\) | −107242. | + | 185749.i | −0.816532 | + | 1.41428i | 0.0916904 | + | 0.995788i | \(0.470773\pi\) |
−0.908223 | + | 0.418488i | \(0.862560\pi\) | |||||||
\(30\) | −545.741 | − | 3095.05i | −0.00369030 | − | 0.0209287i | ||||
\(31\) | 206272. | 1.24358 | 0.621792 | − | 0.783182i | \(-0.286405\pi\) | ||||
0.621792 | + | 0.783182i | \(0.286405\pi\) | |||||||
\(32\) | 33197.9 | + | 188275.i | 0.179096 | + | 1.01570i | ||||
\(33\) | −37913.4 | + | 31813.1i | −0.183651 | + | 0.154102i | ||||
\(34\) | 115509. | + | 42041.9i | 0.504011 | + | 0.183445i | ||||
\(35\) | −21765.5 | + | 7922.00i | −0.0858086 | + | 0.0312318i | ||||
\(36\) | 181103. | 0.646943 | ||||||||
\(37\) | −93172.5 | + | 293685.i | −0.302400 | + | 0.953181i | ||||
\(38\) | 292042. | 0.863382 | ||||||||
\(39\) | 86795.7 | − | 31591.1i | 0.234300 | − | 0.0852782i | ||||
\(40\) | 38215.8 | + | 13909.4i | 0.0944132 | + | 0.0343636i | ||||
\(41\) | 55805.3 | − | 46826.2i | 0.126454 | − | 0.106107i | −0.577368 | − | 0.816484i | \(-0.695920\pi\) |
0.703821 | + | 0.710377i | \(0.251476\pi\) | |||||||
\(42\) | −12285.5 | − | 69674.6i | −0.0255871 | − | 0.145112i | ||||
\(43\) | −643506. | −1.23428 | −0.617139 | − | 0.786854i | \(-0.711708\pi\) | ||||
−0.617139 | + | 0.786854i | \(0.711708\pi\) | |||||||
\(44\) | −47647.6 | − | 270223.i | −0.0843251 | − | 0.478231i | ||||
\(45\) | 30272.0 | − | 52432.7i | 0.0495220 | − | 0.0857745i | ||||
\(46\) | 476100. | + | 399495.i | 0.721184 | + | 0.605145i | ||||
\(47\) | 261769. | + | 453398.i | 0.367770 | + | 0.636997i | 0.989217 | − | 0.146460i | \(-0.0467880\pi\) |
−0.621446 | + | 0.783457i | \(0.713455\pi\) | |||||||
\(48\) | 44163.9 | − | 76494.1i | 0.0576399 | − | 0.0998352i | ||||
\(49\) | 283900. | − | 103331.i | 0.344730 | − | 0.125471i | ||||
\(50\) | −334353. | + | 280556.i | −0.378278 | + | 0.317413i | ||||
\(51\) | −187884. | − | 325424.i | −0.198333 | − | 0.343522i | ||||
\(52\) | −88923.3 | + | 504309.i | −0.0877008 | + | 0.497376i | ||||
\(53\) | 132873. | − | 753559.i | 0.122594 | − | 0.695268i | −0.860113 | − | 0.510103i | \(-0.829607\pi\) |
0.982708 | − | 0.185164i | \(-0.0592817\pi\) | |||||||
\(54\) | 305812. | + | 256607.i | 0.264288 | + | 0.221764i | ||||
\(55\) | −86199.2 | − | 31373.9i | −0.0698608 | − | 0.0254273i | ||||
\(56\) | 860300. | + | 313124.i | 0.654624 | + | 0.238264i | ||||
\(57\) | −683894. | − | 573855.i | −0.489133 | − | 0.410431i | ||||
\(58\) | 210856. | − | 1.19582e6i | 0.141902 | − | 0.804765i | ||||
\(59\) | −6375.21 | + | 36155.6i | −0.00404122 | + | 0.0229189i | −0.986762 | − | 0.162177i | \(-0.948148\pi\) |
0.982720 | + | 0.185096i | \(0.0592596\pi\) | |||||||
\(60\) | −26632.2 | − | 46128.4i | −0.0159176 | − | 0.0275701i | ||||
\(61\) | −2.25082e6 | + | 1.88867e6i | −1.26966 | + | 1.06537i | −0.275076 | + | 0.961423i | \(0.588703\pi\) |
−0.994583 | + | 0.103948i | \(0.966853\pi\) | |||||||
\(62\) | −1.09735e6 | + | 399404.i | −0.584757 | + | 0.212834i | ||||
\(63\) | 681473. | − | 1.18035e6i | 0.343366 | − | 0.594727i | ||||
\(64\) | −214526. | − | 371570.i | −0.102294 | − | 0.177178i | ||||
\(65\) | 131143. | + | 110042.i | 0.0592310 | + | 0.0497007i | ||||
\(66\) | 140097. | − | 242654.i | 0.0599824 | − | 0.103893i | ||||
\(67\) | −290423. | − | 1.64707e6i | −0.117969 | − | 0.669037i | −0.985237 | − | 0.171195i | \(-0.945237\pi\) |
0.867268 | − | 0.497842i | \(-0.165874\pi\) | |||||||
\(68\) | 2.08330e6 | 0.803472 | ||||||||
\(69\) | −329916. | − | 1.87105e6i | −0.120902 | − | 0.685667i | ||||
\(70\) | 100451. | − | 84288.8i | 0.0350036 | − | 0.0293715i | ||||
\(71\) | −3.58024e6 | − | 1.30310e6i | −1.18716 | − | 0.432089i | −0.328431 | − | 0.944528i | \(-0.606520\pi\) |
−0.858724 | + | 0.512439i | \(0.828742\pi\) | |||||||
\(72\) | −2.24874e6 | + | 818473.i | −0.710027 | + | 0.258429i | ||||
\(73\) | −1.40379e6 | −0.422350 | −0.211175 | − | 0.977448i | \(-0.567729\pi\) | ||||
−0.211175 | + | 0.977448i | \(0.567729\pi\) | |||||||
\(74\) | −72989.6 | − | 1.74279e6i | −0.0209387 | − | 0.499959i | ||||
\(75\) | 1.33426e6 | 0.365196 | ||||||||
\(76\) | 4.65107e6 | − | 1.69285e6i | 1.21536 | − | 0.442356i | ||||
\(77\) | −1.94049e6 | − | 706279.i | −0.484388 | − | 0.176303i | ||||
\(78\) | −400577. | + | 336124.i | −0.0955773 | + | 0.0801989i | ||||
\(79\) | 1.44584e6 | + | 8.19976e6i | 0.329933 | + | 1.87114i | 0.472464 | + | 0.881350i | \(0.343365\pi\) |
−0.142531 | + | 0.989790i | \(0.545524\pi\) | |||||||
\(80\) | 163711. | 0.0357488 | ||||||||
\(81\) | 504894. | + | 2.86339e6i | 0.105561 | + | 0.598664i | ||||
\(82\) | −206211. | + | 357167.i | −0.0413012 | + | 0.0715357i | ||||
\(83\) | −5.26463e6 | − | 4.41755e6i | −1.01064 | − | 0.848024i | −0.0222132 | − | 0.999753i | \(-0.507071\pi\) |
−0.988422 | + | 0.151730i | \(0.951516\pi\) | |||||||
\(84\) | −599536. | − | 1.03843e6i | −0.110367 | − | 0.191161i | ||||
\(85\) | 348232. | − | 603156.i | 0.0615039 | − | 0.106528i | ||||
\(86\) | 3.42340e6 | − | 1.24602e6i | 0.580381 | − | 0.211241i | ||||
\(87\) | −2.84354e6 | + | 2.38601e6i | −0.462958 | + | 0.388468i | ||||
\(88\) | 1.81288e6 | + | 3.14000e6i | 0.283582 | + | 0.491179i | ||||
\(89\) | 1.42361e6 | − | 8.07368e6i | 0.214055 | − | 1.21397i | −0.668484 | − | 0.743726i | \(-0.733057\pi\) |
0.882539 | − | 0.470239i | \(-0.155832\pi\) | |||||||
\(90\) | −59519.8 | + | 337553.i | −0.00860622 | + | 0.0488083i | ||||
\(91\) | 2.95225e6 | + | 2.47723e6i | 0.410684 | + | 0.344605i | ||||
\(92\) | 9.89810e6 | + | 3.60261e6i | 1.32524 | + | 0.482348i | ||||
\(93\) | 3.35456e6 | + | 1.22096e6i | 0.432459 | + | 0.157402i | ||||
\(94\) | −2.27050e6 | − | 1.90518e6i | −0.281952 | − | 0.236586i | ||||
\(95\) | 287332. | − | 1.62954e6i | 0.0343836 | − | 0.194999i | ||||
\(96\) | −574539. | + | 3.25837e6i | −0.0662781 | + | 0.375882i | ||||
\(97\) | −2.13755e6 | − | 3.70235e6i | −0.237802 | − | 0.411886i | 0.722281 | − | 0.691600i | \(-0.243094\pi\) |
−0.960083 | + | 0.279714i | \(0.909760\pi\) | |||||||
\(98\) | −1.31025e6 | + | 1.09943e6i | −0.140625 | + | 0.117998i | ||||
\(99\) | 5.07223e6 | − | 1.84614e6i | 0.525383 | − | 0.191224i | ||||
\(100\) | −3.69865e6 | + | 6.40626e6i | −0.369865 | + | 0.640626i | ||||
\(101\) | 6.97019e6 | + | 1.20727e7i | 0.673162 | + | 1.16595i | 0.977002 | + | 0.213228i | \(0.0683979\pi\) |
−0.303840 | + | 0.952723i | \(0.598269\pi\) | |||||||
\(102\) | 1.62964e6 | + | 1.36743e6i | 0.152052 | + | 0.127587i | ||||
\(103\) | −7.93151e6 | + | 1.37378e7i | −0.715197 | + | 1.23876i | 0.247687 | + | 0.968840i | \(0.420329\pi\) |
−0.962884 | + | 0.269917i | \(0.913004\pi\) | |||||||
\(104\) | −1.17501e6 | − | 6.66383e6i | −0.102430 | − | 0.580908i | ||||
\(105\) | −400859. | −0.0337932 | ||||||||
\(106\) | 752239. | + | 4.26616e6i | 0.0613459 | + | 0.347910i | ||||
\(107\) | 7.71045e6 | − | 6.46983e6i | 0.608466 | − | 0.510564i | −0.285688 | − | 0.958323i | \(-0.592222\pi\) |
0.894154 | + | 0.447759i | \(0.147778\pi\) | |||||||
\(108\) | 6.35783e6 | + | 2.31406e6i | 0.485652 | + | 0.176763i | ||||
\(109\) | −7.24400e6 | + | 2.63660e6i | −0.535779 | + | 0.195007i | −0.595717 | − | 0.803195i | \(-0.703132\pi\) |
0.0599381 | + | 0.998202i | \(0.480910\pi\) | |||||||
\(110\) | 519322. | 0.0372017 | ||||||||
\(111\) | −3.25361e6 | + | 4.22462e6i | −0.225806 | + | 0.293196i | ||||
\(112\) | 3.68539e6 | 0.247868 | ||||||||
\(113\) | −9.17790e6 | + | 3.34048e6i | −0.598369 | + | 0.217788i | −0.623406 | − | 0.781898i | \(-0.714252\pi\) |
0.0250375 | + | 0.999687i | \(0.492029\pi\) | |||||||
\(114\) | 4.74941e6 | + | 1.72865e6i | 0.300243 | + | 0.109280i | ||||
\(115\) | 2.69753e6 | − | 2.26350e6i | 0.165396 | − | 0.138783i | ||||
\(116\) | −3.57362e6 | − | 2.02670e7i | −0.212571 | − | 1.20555i | ||||
\(117\) | −1.00737e7 | −0.581483 | ||||||||
\(118\) | −36092.2 | − | 204689.i | −0.00202221 | − | 0.0114685i | ||||
\(119\) | 7.83928e6 | − | 1.35780e7i | 0.426444 | − | 0.738622i | ||||
\(120\) | 539162. | + | 452411.i | 0.0284830 | + | 0.0239000i | ||||
\(121\) | 5.65447e6 | + | 9.79383e6i | 0.290164 | + | 0.502578i | ||||
\(122\) | 8.31720e6 | − | 1.44058e7i | 0.414684 | − | 0.718254i | ||||
\(123\) | 1.18472e6 | − | 431203.i | 0.0574048 | − | 0.0208936i | ||||
\(124\) | −1.51613e7 | + | 1.27218e7i | −0.714103 | + | 0.599203i | ||||
\(125\) | 2.48948e6 | + | 4.31191e6i | 0.114005 | + | 0.197462i | ||||
\(126\) | −1.33989e6 | + | 7.59888e6i | −0.0596721 | + | 0.338418i | ||||
\(127\) | 2.60818e6 | − | 1.47917e7i | 0.112986 | − | 0.640776i | −0.874742 | − | 0.484590i | \(-0.838969\pi\) |
0.987728 | − | 0.156186i | \(-0.0499200\pi\) | |||||||
\(128\) | −1.68851e7 | − | 1.41683e7i | −0.711654 | − | 0.597148i | ||||
\(129\) | −1.04652e7 | − | 3.80902e6i | −0.429223 | − | 0.156224i | ||||
\(130\) | −910745. | − | 331484.i | −0.0363576 | − | 0.0132331i | ||||
\(131\) | −3.07698e7 | − | 2.58190e7i | −1.19585 | − | 1.00343i | −0.999739 | − | 0.0228524i | \(-0.992725\pi\) |
−0.196108 | − | 0.980582i | \(-0.562830\pi\) | |||||||
\(132\) | 824612. | − | 4.67661e6i | 0.0312062 | − | 0.176979i | ||||
\(133\) | 6.46832e6 | − | 3.66837e7i | 0.238402 | − | 1.35205i | ||||
\(134\) | 4.73423e6 | + | 8.19993e6i | 0.169974 | + | 0.294404i | ||||
\(135\) | 1.73270e6 | − | 1.45391e6i | 0.0606115 | − | 0.0508591i | ||||
\(136\) | −2.58682e7 | + | 9.41524e6i | −0.881819 | + | 0.320956i | ||||
\(137\) | 5.27398e6 | − | 9.13480e6i | 0.175233 | − | 0.303513i | −0.765009 | − | 0.644020i | \(-0.777265\pi\) |
0.940242 | + | 0.340507i | \(0.110599\pi\) | |||||||
\(138\) | 5.37803e6 | + | 9.31501e6i | 0.174199 | + | 0.301722i | ||||
\(139\) | −1.03091e7 | − | 8.65035e6i | −0.325588 | − | 0.273201i | 0.465311 | − | 0.885147i | \(-0.345942\pi\) |
−0.790899 | + | 0.611946i | \(0.790387\pi\) | |||||||
\(140\) | 1.11121e6 | − | 1.92466e6i | 0.0342252 | − | 0.0592798i | ||||
\(141\) | 1.57336e6 | + | 8.92296e6i | 0.0472673 | + | 0.268066i | ||||
\(142\) | 2.15698e7 | 0.632173 | ||||||||
\(143\) | 2.65035e6 | + | 1.50309e7i | 0.0757927 | + | 0.429842i | ||||
\(144\) | −7.37949e6 | + | 6.19213e6i | −0.205948 | + | 0.172811i | ||||
\(145\) | −6.46502e6 | − | 2.35308e6i | −0.176109 | − | 0.0640985i | ||||
\(146\) | 7.46807e6 | − | 2.71815e6i | 0.198597 | − | 0.0722835i | ||||
\(147\) | 5.22863e6 | 0.135762 | ||||||||
\(148\) | −1.12647e7 | − | 2.73326e7i | −0.285630 | − | 0.693052i | ||||
\(149\) | 341439. | 0.00845593 | 0.00422796 | − | 0.999991i | \(-0.498654\pi\) | ||||
0.00422796 | + | 0.999991i | \(0.498654\pi\) | |||||||
\(150\) | −7.09817e6 | + | 2.58352e6i | −0.171722 | + | 0.0625018i | ||||
\(151\) | 3.35676e7 | + | 1.22176e7i | 0.793416 | + | 0.288780i | 0.706755 | − | 0.707458i | \(-0.250158\pi\) |
0.0866608 | + | 0.996238i | \(0.472380\pi\) | |||||||
\(152\) | −5.01013e7 | + | 4.20400e7i | −1.15717 | + | 0.970979i | ||||
\(153\) | 7.11647e6 | + | 4.03595e7i | 0.160637 | + | 0.911016i | ||||
\(154\) | 1.16908e7 | 0.257942 | ||||||||
\(155\) | 1.14895e6 | + | 6.51599e6i | 0.0247821 | + | 0.140546i | ||||
\(156\) | −4.43122e6 | + | 7.67511e6i | −0.0934518 | + | 0.161863i | ||||
\(157\) | 4.32435e7 | + | 3.62856e7i | 0.891809 | + | 0.748316i | 0.968572 | − | 0.248733i | \(-0.0800141\pi\) |
−0.0767633 | + | 0.997049i | \(0.524459\pi\) | |||||||
\(158\) | −2.35689e7 | − | 4.08225e7i | −0.475378 | − | 0.823379i | ||||
\(159\) | 6.62132e6 | − | 1.14685e7i | 0.130634 | − | 0.226264i | ||||
\(160\) | −5.76255e6 | + | 2.09740e6i | −0.111223 | + | 0.0404819i | ||||
\(161\) | 6.07259e7 | − | 5.09551e7i | 1.14679 | − | 0.962270i | ||||
\(162\) | −8.23036e6 | − | 1.42554e7i | −0.152096 | − | 0.263437i | ||||
\(163\) | −8.76818e6 | + | 4.97268e7i | −0.158582 | + | 0.899361i | 0.796856 | + | 0.604169i | \(0.206495\pi\) |
−0.955438 | + | 0.295192i | \(0.904616\pi\) | |||||||
\(164\) | −1.21376e6 | + | 6.88358e6i | −0.0214872 | + | 0.121860i | ||||
\(165\) | −1.21613e6 | − | 1.02045e6i | −0.0210759 | − | 0.0176848i | ||||
\(166\) | 3.65611e7 | + | 1.33071e7i | 0.620356 | + | 0.225791i | ||||
\(167\) | −4.03736e7 | − | 1.46948e7i | −0.670795 | − | 0.244149i | −0.0159050 | − | 0.999874i | \(-0.505063\pi\) |
−0.654890 | + | 0.755724i | \(0.727285\pi\) | |||||||
\(168\) | 1.21374e7 | + | 1.01845e7i | 0.197490 | + | 0.165713i | ||||
\(169\) | −5.94990e6 | + | 3.37435e7i | −0.0948213 | + | 0.537758i | ||||
\(170\) | −684681. | + | 3.88302e6i | −0.0106885 | + | 0.0606176i | ||||
\(171\) | 4.86833e7 | + | 8.43219e7i | 0.744549 | + | 1.28960i | ||||
\(172\) | 4.72986e7 | − | 3.96882e7i | 0.708759 | − | 0.594719i | ||||
\(173\) | 7.81454e7 | − | 2.84426e7i | 1.14747 | − | 0.417645i | 0.302865 | − | 0.953033i | \(-0.402057\pi\) |
0.844606 | + | 0.535388i | \(0.179835\pi\) | |||||||
\(174\) | 1.05074e7 | − | 1.81993e7i | 0.151207 | − | 0.261898i | ||||
\(175\) | 2.78354e7 | + | 4.82123e7i | 0.392613 | + | 0.680025i | ||||
\(176\) | 1.11808e7 | + | 9.38180e6i | 0.154589 | + | 0.129715i | ||||
\(177\) | −317689. | + | 550254.i | −0.00430622 | + | 0.00745859i | ||||
\(178\) | 8.05953e6 | + | 4.57078e7i | 0.107112 | + | 0.607464i | ||||
\(179\) | −7.75238e7 | −1.01030 | −0.505149 | − | 0.863032i | \(-0.668562\pi\) | ||||
−0.505149 | + | 0.863032i | \(0.668562\pi\) | |||||||
\(180\) | 1.00875e6 | + | 5.72090e6i | 0.0128923 | + | 0.0731157i | ||||
\(181\) | 4.14142e6 | − | 3.47507e6i | 0.0519128 | − | 0.0435600i | −0.616462 | − | 0.787385i | \(-0.711435\pi\) |
0.668375 | + | 0.743825i | \(0.266990\pi\) | |||||||
\(182\) | −2.05024e7 | − | 7.46225e6i | −0.252089 | − | 0.0917530i | ||||
\(183\) | −4.77839e7 | + | 1.73919e7i | −0.576372 | + | 0.209782i | ||||
\(184\) | −1.39185e8 | −1.64714 | ||||||||
\(185\) | −9.79626e6 | − | 1.30741e6i | −0.113752 | − | 0.0151814i | ||||
\(186\) | −2.02101e7 | −0.230289 | ||||||||
\(187\) | 5.83480e7 | − | 2.12369e7i | 0.652500 | − | 0.237491i | ||||
\(188\) | −4.72037e7 | − | 1.71807e7i | −0.518112 | − | 0.188577i | ||||
\(189\) | 3.90059e7 | − | 3.27299e7i | 0.420256 | − | 0.352637i | ||||
\(190\) | 1.62669e6 | + | 9.22539e6i | 0.0172054 | + | 0.0975770i | ||||
\(191\) | 7.86929e7 | 0.817182 | 0.408591 | − | 0.912718i | \(-0.366020\pi\) | ||||
0.408591 | + | 0.912718i | \(0.366020\pi\) | |||||||
\(192\) | −1.28940e6 | − | 7.31257e6i | −0.0131472 | − | 0.0745617i | ||||
\(193\) | −1.21539e6 | + | 2.10512e6i | −0.0121693 | + | 0.0210778i | −0.872046 | − | 0.489424i | \(-0.837207\pi\) |
0.859877 | + | 0.510502i | \(0.170540\pi\) | |||||||
\(194\) | 1.85405e7 | + | 1.55573e7i | 0.182312 | + | 0.152978i | ||||
\(195\) | 1.48139e6 | + | 2.56585e6i | 0.0143070 | + | 0.0247805i | ||||
\(196\) | −1.44941e7 | + | 2.51045e7i | −0.137497 | + | 0.238153i | ||||
\(197\) | 9.30202e7 | − | 3.38566e7i | 0.866853 | − | 0.315509i | 0.129961 | − | 0.991519i | \(-0.458515\pi\) |
0.736892 | + | 0.676010i | \(0.236292\pi\) | |||||||
\(198\) | −2.34092e7 | + | 1.96427e7i | −0.214318 | + | 0.179834i | ||||
\(199\) | −8.19265e7 | − | 1.41901e8i | −0.736951 | − | 1.27644i | −0.953862 | − | 0.300246i | \(-0.902931\pi\) |
0.216910 | − | 0.976192i | \(-0.430402\pi\) | |||||||
\(200\) | 1.69735e7 | − | 9.62615e7i | 0.150026 | − | 0.850840i | ||||
\(201\) | 5.02619e6 | − | 2.85050e7i | 0.0436569 | − | 0.247591i | ||||
\(202\) | −6.04572e7 | − | 5.07296e7i | −0.516082 | − | 0.433044i | ||||
\(203\) | −1.45538e8 | − | 5.29716e7i | −1.22107 | − | 0.444434i | ||||
\(204\) | 3.38803e7 | + | 1.23314e7i | 0.279409 | + | 0.101697i | ||||
\(205\) | 1.79004e6 | + | 1.50202e6i | 0.0145119 | + | 0.0121769i | ||||
\(206\) | 1.55946e7 | − | 8.84416e7i | 0.124291 | − | 0.704890i | ||||
\(207\) | −3.59815e7 | + | 2.04061e8i | −0.281957 | + | 1.59906i | ||||
\(208\) | −1.36195e7 | − | 2.35897e7i | −0.104940 | − | 0.181761i | ||||
\(209\) | 1.13008e8 | − | 9.48251e7i | 0.856244 | − | 0.718474i | ||||
\(210\) | 2.13254e6 | − | 776181.i | 0.0158902 | − | 0.00578356i | ||||
\(211\) | −2.21739e7 | + | 3.84063e7i | −0.162500 | + | 0.281458i | −0.935765 | − | 0.352625i | \(-0.885289\pi\) |
0.773265 | + | 0.634083i | \(0.218622\pi\) | |||||||
\(212\) | 3.67094e7 | + | 6.35826e7i | 0.264607 | + | 0.458313i | ||||
\(213\) | −5.05113e7 | − | 4.23840e7i | −0.358146 | − | 0.300520i | ||||
\(214\) | −2.84915e7 | + | 4.93487e7i | −0.198732 | + | 0.344213i | ||||
\(215\) | −3.58435e6 | − | 2.03279e7i | −0.0245967 | − | 0.139495i | ||||
\(216\) | −8.94027e7 | −0.603618 | ||||||||
\(217\) | 2.58647e7 | + | 1.46686e8i | 0.171829 | + | 0.974493i | ||||
\(218\) | 3.34323e7 | − | 2.80530e7i | 0.218559 | − | 0.183393i | ||||
\(219\) | −2.28295e7 | − | 8.30928e6i | −0.146873 | − | 0.0534575i | ||||
\(220\) | 8.27074e6 | − | 3.01030e6i | 0.0523679 | − | 0.0190604i | ||||
\(221\) | −1.15882e8 | −0.722174 | ||||||||
\(222\) | 9.12884e6 | − | 2.87746e7i | 0.0559990 | − | 0.176512i | ||||
\(223\) | 1.37437e8 | 0.829923 | 0.414961 | − | 0.909839i | \(-0.363795\pi\) | ||||
0.414961 | + | 0.909839i | \(0.363795\pi\) | |||||||
\(224\) | −1.29724e8 | + | 4.72158e7i | −0.771176 | + | 0.280685i | ||||
\(225\) | −1.36742e8 | − | 4.97700e7i | −0.800319 | − | 0.291292i | ||||
\(226\) | 4.23576e7 | − | 3.55422e7i | 0.244091 | − | 0.204817i | ||||
\(227\) | −1.12280e7 | − | 6.36774e7i | −0.0637109 | − | 0.361322i | −0.999950 | − | 0.00995990i | \(-0.996830\pi\) |
0.936240 | − | 0.351362i | \(-0.114281\pi\) | |||||||
\(228\) | 8.56596e7 | 0.478635 | ||||||||
\(229\) | −1.63483e7 | − | 9.27161e7i | −0.0899600 | − | 0.510189i | −0.996176 | − | 0.0873729i | \(-0.972153\pi\) |
0.906216 | − | 0.422816i | \(-0.138958\pi\) | |||||||
\(230\) | −9.96786e6 | + | 1.72648e7i | −0.0540200 | + | 0.0935654i | ||||
\(231\) | −2.73771e7 | − | 2.29721e7i | −0.146132 | − | 0.122619i | ||||
\(232\) | 1.35968e8 | + | 2.35503e8i | 0.714870 | + | 1.23819i | ||||
\(233\) | 1.34690e8 | − | 2.33290e8i | 0.697574 | − | 1.20823i | −0.271732 | − | 0.962373i | \(-0.587596\pi\) |
0.969305 | − | 0.245860i | \(-0.0790703\pi\) | |||||||
\(234\) | 5.35911e7 | − | 1.95056e7i | 0.273424 | − | 0.0995183i | ||||
\(235\) | −1.28644e7 | + | 1.07945e7i | −0.0646626 | + | 0.0542584i | ||||
\(236\) | −1.76131e6 | − | 3.05067e6i | −0.00872255 | − | 0.0151079i | ||||
\(237\) | −2.50224e7 | + | 1.41909e8i | −0.122098 | + | 0.692453i | ||||
\(238\) | −1.54133e7 | + | 8.74132e7i | −0.0741099 | + | 0.420298i | ||||
\(239\) | 1.11336e8 | + | 9.34222e7i | 0.527526 | + | 0.442647i | 0.867246 | − | 0.497880i | \(-0.165888\pi\) |
−0.339720 | + | 0.940527i | \(0.610332\pi\) | |||||||
\(240\) | 2.66239e6 | + | 969030.i | 0.0124317 | + | 0.00452478i | ||||
\(241\) | −2.69367e8 | − | 9.80414e7i | −1.23961 | − | 0.451180i | −0.362730 | − | 0.931894i | \(-0.618155\pi\) |
−0.876877 | + | 0.480714i | \(0.840377\pi\) | |||||||
\(242\) | −4.90451e7 | − | 4.11537e7i | −0.222455 | − | 0.186662i | ||||
\(243\) | −3.55173e7 | + | 2.01429e8i | −0.158788 | + | 0.900532i | ||||
\(244\) | 4.89552e7 | − | 2.77639e8i | 0.215742 | − | 1.22353i | ||||
\(245\) | 4.84549e6 | + | 8.39263e6i | 0.0210502 | + | 0.0364600i | ||||
\(246\) | −5.46768e6 | + | 4.58793e6i | −0.0234170 | + | 0.0196492i | ||||
\(247\) | −2.58711e8 | + | 9.41633e7i | −1.09239 | + | 0.397596i | ||||
\(248\) | 1.30762e8 | − | 2.26486e8i | 0.544377 | − | 0.942888i | ||||
\(249\) | −5.94692e7 | − | 1.03004e8i | −0.244115 | − | 0.422820i | ||||
\(250\) | −2.15930e7 | − | 1.81186e7i | −0.0874021 | − | 0.0733391i | ||||
\(251\) | 5.89381e6 | − | 1.02084e7i | 0.0235255 | − | 0.0407473i | −0.854023 | − | 0.520235i | \(-0.825844\pi\) |
0.877548 | + | 0.479488i | \(0.159178\pi\) | |||||||
\(252\) | 2.27086e7 | + | 1.28787e8i | 0.0893899 | + | 0.506955i | ||||
\(253\) | 3.13946e8 | 1.21880 | ||||||||
\(254\) | 1.47658e7 | + | 8.37411e7i | 0.0565379 | + | 0.320642i | ||||
\(255\) | 9.23339e6 | − | 7.74774e6i | 0.0348715 | − | 0.0292607i | ||||
\(256\) | 1.68868e8 | + | 6.14629e7i | 0.629083 | + | 0.228967i | ||||
\(257\) | 2.90726e7 | − | 1.05816e7i | 0.106836 | − | 0.0388852i | −0.288049 | − | 0.957616i | \(-0.593007\pi\) |
0.394885 | + | 0.918730i | \(0.370784\pi\) | |||||||
\(258\) | 6.30494e7 | 0.228566 | ||||||||
\(259\) | −2.20530e8 | − | 2.94320e7i | −0.788712 | − | 0.105262i | ||||
\(260\) | −1.64260e7 | −0.0579597 | ||||||||
\(261\) | 3.80422e8 | − | 1.38462e8i | 1.32441 | − | 0.482048i | ||||
\(262\) | 2.13686e8 | + | 7.77754e7i | 0.734044 | + | 0.267170i | ||||
\(263\) | −2.84960e8 | + | 2.39110e8i | −0.965914 | + | 0.810498i | −0.981905 | − | 0.189374i | \(-0.939354\pi\) |
0.0159913 | + | 0.999872i | \(0.494910\pi\) | |||||||
\(264\) | 1.08963e7 | + | 6.17958e7i | 0.0364472 | + | 0.206702i | ||||
\(265\) | 2.45445e7 | 0.0810202 | ||||||||
\(266\) | 3.66194e7 | + | 2.07679e8i | 0.119296 | + | 0.676560i | ||||
\(267\) | 7.09412e7 | − | 1.22874e8i | 0.228091 | − | 0.395066i | ||||
\(268\) | 1.22929e8 | + | 1.03150e8i | 0.390107 | + | 0.327339i | ||||
\(269\) | 9.62426e7 | + | 1.66697e8i | 0.301463 | + | 0.522150i | 0.976468 | − | 0.215664i | \(-0.0691916\pi\) |
−0.675004 | + | 0.737814i | \(0.735858\pi\) | |||||||
\(270\) | −6.40264e6 | + | 1.10897e7i | −0.0197964 | + | 0.0342883i | ||||
\(271\) | −2.57447e8 | + | 9.37030e7i | −0.785769 | + | 0.285997i | −0.703576 | − | 0.710620i | \(-0.748415\pi\) |
−0.0821930 | + | 0.996616i | \(0.526192\pi\) | |||||||
\(272\) | −8.48895e7 | + | 7.12307e7i | −0.255778 | + | 0.214623i | ||||
\(273\) | 3.33486e7 | + | 5.77615e7i | 0.0991992 | + | 0.171818i | ||||
\(274\) | −1.03695e7 | + | 5.88084e7i | −0.0304531 | + | 0.172708i | ||||
\(275\) | −3.82853e7 | + | 2.17127e8i | −0.111011 | + | 0.629577i | ||||
\(276\) | 1.39646e8 | + | 1.17177e8i | 0.399804 | + | 0.335475i | ||||
\(277\) | 4.15917e8 | + | 1.51381e8i | 1.17578 | + | 0.427950i | 0.854711 | − | 0.519105i | \(-0.173734\pi\) |
0.321072 | + | 0.947055i | \(0.395957\pi\) | |||||||
\(278\) | 7.15931e7 | + | 2.60578e7i | 0.199855 | + | 0.0727412i | ||||
\(279\) | −2.98249e8 | − | 2.50261e8i | −0.822175 | − | 0.689887i | ||||
\(280\) | −5.09944e6 | + | 2.89203e7i | −0.0138825 | + | 0.0787318i | ||||
\(281\) | 1.74204e6 | − | 9.87962e6i | 0.00468368 | − | 0.0265624i | −0.982376 | − | 0.186914i | \(-0.940152\pi\) |
0.987060 | + | 0.160351i | \(0.0512627\pi\) | |||||||
\(282\) | −2.56476e7 | − | 4.44230e7i | −0.0681044 | − | 0.117960i | ||||
\(283\) | −2.45717e8 | + | 2.06181e8i | −0.644441 | + | 0.540750i | −0.905379 | − | 0.424605i | \(-0.860413\pi\) |
0.260937 | + | 0.965356i | \(0.415968\pi\) | |||||||
\(284\) | 3.43521e8 | − | 1.25031e8i | 0.889895 | − | 0.323895i | ||||
\(285\) | 1.43183e7 | − | 2.48001e7i | 0.0366383 | − | 0.0634594i | ||||
\(286\) | −4.32039e7 | − | 7.48313e7i | −0.109205 | − | 0.189148i | ||||
\(287\) | 4.02968e7 | + | 3.38130e7i | 0.100620 | + | 0.0844301i | ||||
\(288\) | 1.80424e8 | − | 3.12504e8i | 0.445062 | − | 0.770871i | ||||
\(289\) | 1.06093e7 | + | 6.01681e7i | 0.0258549 | + | 0.146630i | ||||
\(290\) | 3.89497e7 | 0.0937801 | ||||||||
\(291\) | −1.28477e7 | − | 7.28631e7i | −0.0305633 | − | 0.173333i | ||||
\(292\) | 1.03181e8 | − | 8.65788e7i | 0.242526 | − | 0.203503i | ||||
\(293\) | −7.07228e8 | − | 2.57410e8i | −1.64257 | − | 0.597845i | −0.655082 | − | 0.755558i | \(-0.727366\pi\) |
−0.987485 | + | 0.157713i | \(0.949588\pi\) | |||||||
\(294\) | −2.78159e7 | + | 1.01242e7i | −0.0638378 | + | 0.0232350i | ||||
\(295\) | −1.17764e6 | −0.00267076 | ||||||||
\(296\) | 2.63399e8 | + | 2.88477e8i | 0.590329 | + | 0.646533i | ||||
\(297\) | 2.01656e8 | 0.446646 | ||||||||
\(298\) | −1.81643e6 | + | 661126.i | −0.00397614 | + | 0.00144720i | ||||
\(299\) | −5.50572e8 | − | 2.00392e8i | −1.19115 | − | 0.433542i | ||||
\(300\) | −9.80700e7 | + | 8.22905e7i | −0.209707 | + | 0.175965i | ||||
\(301\) | −8.06897e7 | − | 4.57614e8i | −0.170544 | − | 0.967200i | ||||
\(302\) | −2.02234e8 | −0.422503 | ||||||||
\(303\) | 4.18942e7 | + | 2.37594e8i | 0.0865176 | + | 0.490666i | ||||
\(304\) | −1.31639e8 | + | 2.28006e8i | −0.268737 | + | 0.465466i | ||||
\(305\) | −7.21987e7 | − | 6.05819e7i | −0.145707 | − | 0.122263i | ||||
\(306\) | −1.16007e8 | − | 2.00930e8i | −0.231451 | − | 0.400885i | ||||
\(307\) | 1.49744e8 | − | 2.59364e8i | 0.295369 | − | 0.511595i | −0.679701 | − | 0.733489i | \(-0.737891\pi\) |
0.975071 | + | 0.221894i | \(0.0712239\pi\) | |||||||
\(308\) | 1.86188e8 | − | 6.77669e7i | 0.363098 | − | 0.132157i | ||||
\(309\) | −2.10304e8 | + | 1.76466e8i | −0.405503 | + | 0.340257i | ||||
\(310\) | −1.87292e7 | − | 3.24399e7i | −0.0357069 | − | 0.0618462i | ||||
\(311\) | 1.32439e8 | − | 7.51099e8i | 0.249663 | − | 1.41591i | −0.559745 | − | 0.828665i | \(-0.689101\pi\) |
0.809409 | − | 0.587246i | \(-0.199788\pi\) | |||||||
\(312\) | 2.03353e7 | − | 1.15327e8i | 0.0379062 | − | 0.214977i | ||||
\(313\) | 1.10896e8 | + | 9.30531e7i | 0.204415 | + | 0.171524i | 0.739248 | − | 0.673433i | \(-0.235181\pi\) |
−0.534833 | + | 0.844958i | \(0.679626\pi\) | |||||||
\(314\) | −3.00311e8 | − | 1.09304e8i | −0.547417 | − | 0.199243i | ||||
\(315\) | 4.10821e7 | + | 1.49527e7i | 0.0740569 | + | 0.0269545i | ||||
\(316\) | −6.11991e8 | − | 5.13521e8i | −1.09104 | − | 0.915490i | ||||
\(317\) | −4.26091e6 | + | 2.41648e7i | −0.00751268 | + | 0.0426065i | −0.988334 | − | 0.152304i | \(-0.951331\pi\) |
0.980821 | + | 0.194911i | \(0.0624417\pi\) | |||||||
\(318\) | −1.30186e7 | + | 7.38322e7i | −0.0227023 | + | 0.128751i | ||||
\(319\) | −3.06687e8 | − | 5.31198e8i | −0.528967 | − | 0.916197i | ||||
\(320\) | 1.05427e7 | − | 8.84638e6i | 0.0179857 | − | 0.0150918i | ||||
\(321\) | 1.63689e8 | − | 5.95780e7i | 0.276218 | − | 0.100535i | ||||
\(322\) | −2.24393e8 | + | 3.88660e8i | −0.374553 | + | 0.648746i | ||||
\(323\) | 5.60024e8 | + | 9.69991e8i | 0.924694 | + | 1.60162i | ||||
\(324\) | −2.13710e8 | − | 1.79324e8i | −0.349074 | − | 0.292908i | ||||
\(325\) | 2.05734e8 | − | 3.56342e8i | 0.332441 | − | 0.575804i | ||||
\(326\) | −4.96397e7 | − | 2.81521e8i | −0.0793537 | − | 0.450037i | ||||
\(327\) | −1.33414e8 | −0.211001 | ||||||||
\(328\) | −1.60384e7 | − | 9.09582e7i | −0.0250959 | − | 0.142326i | ||||
\(329\) | −2.89600e8 | + | 2.43003e8i | −0.448345 | + | 0.376206i | ||||
\(330\) | 8.44562e6 | + | 3.07395e6i | 0.0129370 | + | 0.00470867i | ||||
\(331\) | −7.31013e8 | + | 2.66067e8i | −1.10797 | + | 0.403267i | −0.830247 | − | 0.557395i | \(-0.811801\pi\) |
−0.277720 | + | 0.960662i | \(0.589579\pi\) | |||||||
\(332\) | 6.59409e8 | 0.988944 | ||||||||
\(333\) | 4.91032e8 | − | 3.11597e8i | 0.728710 | − | 0.462421i | ||||
\(334\) | 2.43238e8 | 0.357206 | ||||||||
\(335\) | 5.04120e7 | − | 1.83485e7i | 0.0732617 | − | 0.0266651i | ||||
\(336\) | 5.99347e7 | + | 2.18145e7i | 0.0861968 | + | 0.0313731i | ||||
\(337\) | 3.87298e8 | − | 3.24982e8i | 0.551241 | − | 0.462546i | −0.324120 | − | 0.946016i | \(-0.605068\pi\) |
0.875361 | + | 0.483470i | \(0.160624\pi\) | |||||||
\(338\) | −3.36844e7 | − | 1.91034e8i | −0.0474483 | − | 0.269093i | ||||
\(339\) | −1.69031e8 | −0.235650 | ||||||||
\(340\) | 1.16041e7 | + | 6.58099e7i | 0.0160116 | + | 0.0908062i | ||||
\(341\) | −2.94945e8 | + | 5.10860e8i | −0.402810 | + | 0.697688i | ||||
\(342\) | −4.22263e8 | − | 3.54321e8i | −0.570810 | − | 0.478967i | ||||
\(343\) | 4.06419e8 | + | 7.03938e8i | 0.543806 | + | 0.941900i | ||||
\(344\) | −4.07936e8 | + | 7.06565e8i | −0.540303 | + | 0.935832i | ||||
\(345\) | 5.72673e7 | − | 2.08436e7i | 0.0750828 | − | 0.0273279i | ||||
\(346\) | −3.60654e8 | + | 3.02625e8i | −0.468085 | + | 0.392770i | ||||
\(347\) | 1.11768e8 | + | 1.93588e8i | 0.143603 | + | 0.248728i | 0.928851 | − | 0.370453i | \(-0.120798\pi\) |
−0.785248 | + | 0.619182i | \(0.787464\pi\) | |||||||
\(348\) | 6.18467e7 | − | 3.50750e8i | 0.0786664 | − | 0.446139i | ||||
\(349\) | 2.56194e8 | − | 1.45295e9i | 0.322611 | − | 1.82962i | −0.203344 | − | 0.979107i | \(-0.565181\pi\) |
0.525956 | − | 0.850512i | \(-0.323708\pi\) | |||||||
\(350\) | −2.41435e8 | − | 2.02588e8i | −0.300997 | − | 0.252567i | ||||
\(351\) | −3.53648e8 | − | 1.28717e8i | −0.436512 | − | 0.158877i | ||||
\(352\) | −5.13755e8 | − | 1.86992e8i | −0.627851 | − | 0.228519i | ||||
\(353\) | 1.14706e9 | + | 9.62499e8i | 1.38795 | + | 1.16463i | 0.966161 | + | 0.257941i | \(0.0830439\pi\) |
0.421794 | + | 0.906692i | \(0.361400\pi\) | |||||||
\(354\) | 624629. | − | 3.54245e6i | 0.000748361 | − | 0.00424416i | ||||
\(355\) | 2.12219e7 | − | 1.20355e8i | 0.0251759 | − | 0.142780i | ||||
\(356\) | 3.93307e8 | + | 6.81227e8i | 0.462015 | + | 0.800234i | ||||
\(357\) | 2.07859e8 | − | 1.74414e8i | 0.241785 | − | 0.202882i | ||||
\(358\) | 4.12420e8 | − | 1.50109e8i | 0.475061 | − | 0.172908i | ||||
\(359\) | −6.68137e7 | + | 1.15725e8i | −0.0762140 | + | 0.132007i | −0.901614 | − | 0.432542i | \(-0.857617\pi\) |
0.825400 | + | 0.564549i | \(0.190950\pi\) | |||||||
\(360\) | −3.83805e7 | − | 6.64770e7i | −0.0433563 | − | 0.0750952i | ||||
\(361\) | 1.35373e9 | + | 1.13592e9i | 1.51446 | + | 1.27078i | ||||
\(362\) | −1.53033e7 | + | 2.65061e7i | −0.0169553 | + | 0.0293674i | ||||
\(363\) | 3.39861e7 | + | 1.92745e8i | 0.0372930 | + | 0.211499i | ||||
\(364\) | −3.69777e8 | −0.401870 | ||||||||
\(365\) | −7.81918e6 | − | 4.43447e7i | −0.00841659 | − | 0.0477328i | ||||
\(366\) | 2.20531e8 | − | 1.85047e8i | 0.235118 | − | 0.197287i | ||||
\(367\) | −3.72463e8 | − | 1.35565e8i | −0.393325 | − | 0.143159i | 0.137783 | − | 0.990462i | \(-0.456002\pi\) |
−0.531109 | + | 0.847304i | \(0.678224\pi\) | |||||||
\(368\) | −5.26501e8 | + | 1.91631e8i | −0.550722 | + | 0.200446i | ||||
\(369\) | −1.37501e8 | −0.142466 | ||||||||
\(370\) | 5.46469e7 | − | 1.20131e7i | 0.0560866 | − | 0.0123296i | ||||
\(371\) | 5.52537e8 | 0.561762 | ||||||||
\(372\) | −3.21867e8 | + | 1.17150e8i | −0.324173 | + | 0.117989i | ||||
\(373\) | 1.96803e8 | + | 7.16305e7i | 0.196359 | + | 0.0714689i | 0.438328 | − | 0.898815i | \(-0.355571\pi\) |
−0.241969 | + | 0.970284i | \(0.577793\pi\) | |||||||
\(374\) | −2.69286e8 | + | 2.25958e8i | −0.266173 | + | 0.223345i | ||||
\(375\) | 1.49630e7 | + | 8.48592e7i | 0.0146524 | + | 0.0830977i | ||||
\(376\) | 6.63770e8 | 0.643962 | ||||||||
\(377\) | 1.98779e8 | + | 1.12733e9i | 0.191063 | + | 1.08357i | ||||
\(378\) | −1.44134e8 | + | 2.49647e8i | −0.137260 | + | 0.237742i | ||||
\(379\) | 3.65492e8 | + | 3.06684e8i | 0.344858 | + | 0.289370i | 0.798721 | − | 0.601701i | \(-0.205510\pi\) |
−0.453863 | + | 0.891071i | \(0.649955\pi\) | |||||||
\(380\) | 7.93826e7 | + | 1.37495e8i | 0.0742135 | + | 0.128541i | ||||
\(381\) | 1.29971e8 | − | 2.25116e8i | 0.120395 | − | 0.208530i | ||||
\(382\) | −4.18640e8 | + | 1.52373e8i | −0.384255 | + | 0.139857i | ||||
\(383\) | 4.93428e8 | − | 4.14035e8i | 0.448774 | − | 0.376566i | −0.390206 | − | 0.920727i | \(-0.627596\pi\) |
0.838981 | + | 0.544161i | \(0.183152\pi\) | |||||||
\(384\) | −1.90734e8 | − | 3.30361e8i | −0.171897 | − | 0.297735i | ||||
\(385\) | 1.15022e7 | − | 6.52325e7i | 0.0102724 | − | 0.0582574i | ||||
\(386\) | 2.38966e6 | − | 1.35524e7i | 0.00211485 | − | 0.0119939i | ||||
\(387\) | 9.30444e8 | + | 7.80735e8i | 0.816022 | + | 0.684724i | ||||
\(388\) | 3.85456e8 | + | 1.40294e8i | 0.335014 | + | 0.121935i | ||||
\(389\) | −8.25960e8 | − | 3.00625e8i | −0.711435 | − | 0.258941i | −0.0391497 | − | 0.999233i | \(-0.512465\pi\) |
−0.672285 | + | 0.740292i | \(0.734687\pi\) | |||||||
\(390\) | −1.28491e7 | − | 1.07817e7i | −0.0109685 | − | 0.00920367i | ||||
\(391\) | −4.13910e8 | + | 2.34740e9i | −0.350177 | + | 1.98595i | ||||
\(392\) | 6.65149e7 | − | 3.77225e8i | 0.0557722 | − | 0.316300i | ||||
\(393\) | −3.47576e8 | − | 6.02019e8i | −0.288852 | − | 0.500307i | ||||
\(394\) | −4.29304e8 | + | 3.60229e8i | −0.353613 | + | 0.296717i | ||||
\(395\) | −2.50971e8 | + | 9.13459e7i | −0.204896 | + | 0.0745761i | ||||
\(396\) | −2.58955e8 | + | 4.48524e8i | −0.209552 | + | 0.362954i | ||||
\(397\) | −8.42399e8 | − | 1.45908e9i | −0.675695 | − | 1.17034i | −0.976265 | − | 0.216579i | \(-0.930510\pi\) |
0.300570 | − | 0.953760i | \(-0.402823\pi\) | |||||||
\(398\) | 7.10605e8 | + | 5.96268e8i | 0.564986 | + | 0.474079i | ||||
\(399\) | 3.22329e8 | − | 5.58291e8i | 0.254036 | − | 0.440003i | ||||
\(400\) | −6.83269e7 | − | 3.87501e8i | −0.0533804 | − | 0.302735i | ||||
\(401\) | 2.25684e9 | 1.74781 | 0.873907 | − | 0.486094i | \(-0.161579\pi\) | ||||
0.873907 | + | 0.486094i | \(0.161579\pi\) | |||||||
\(402\) | 2.84550e7 | + | 1.61376e8i | 0.0218458 | + | 0.123894i | ||||
\(403\) | 8.43333e8 | − | 7.07640e8i | 0.641847 | − | 0.538573i | ||||
\(404\) | −1.25690e9 | − | 4.57475e8i | −0.948346 | − | 0.345170i | ||||
\(405\) | −8.76402e7 | + | 3.18984e7i | −0.0655557 | + | 0.0238603i | ||||
\(406\) | 8.76821e8 | 0.650234 | ||||||||
\(407\) | −5.94122e8 | − | 6.50687e8i | −0.436812 | − | 0.478401i | ||||
\(408\) | −4.76418e8 | −0.347279 | ||||||||
\(409\) | −5.84788e7 | + | 2.12845e7i | −0.0422636 | + | 0.0153827i | −0.363065 | − | 0.931764i | \(-0.618270\pi\) |
0.320802 | + | 0.947146i | \(0.396048\pi\) | |||||||
\(410\) | −1.24312e7 | − | 4.52460e6i | −0.00890781 | − | 0.00324218i | ||||
\(411\) | 1.39840e8 | − | 1.17340e8i | 0.0993539 | − | 0.0833678i | ||||
\(412\) | −2.64300e8 | − | 1.49892e9i | −0.186190 | − | 1.05594i | ||||
\(413\) | −2.65106e7 | −0.0185180 | ||||||||
\(414\) | −2.03703e8 | − | 1.15526e9i | −0.141090 | − | 0.800163i | ||||
\(415\) | 1.10223e8 | − | 1.90912e8i | 0.0757013 | − | 0.131118i | ||||
\(416\) | 7.81625e8 | + | 6.55861e8i | 0.532319 | + | 0.446669i | ||||
\(417\) | −1.16451e8 | − | 2.01700e8i | −0.0786445 | − | 0.136216i | ||||
\(418\) | −4.17585e8 | + | 7.23279e8i | −0.279659 | + | 0.484383i | ||||
\(419\) | −1.08093e9 | + | 3.93427e8i | −0.717876 | + | 0.261285i | −0.675024 | − | 0.737796i | \(-0.735867\pi\) |
−0.0428519 | + | 0.999081i | \(0.513644\pi\) | |||||||
\(420\) | 2.94637e7 | − | 2.47230e7i | 0.0194050 | − | 0.0162828i | ||||
\(421\) | −9.42356e8 | − | 1.63221e9i | −0.615499 | − | 1.06608i | −0.990297 | − | 0.138969i | \(-0.955621\pi\) |
0.374798 | − | 0.927107i | \(-0.377712\pi\) | |||||||
\(422\) | 4.35975e7 | − | 2.47253e8i | 0.0282402 | − | 0.160158i | ||||
\(423\) | 1.71594e8 | − | 9.73160e8i | 0.110233 | − | 0.625162i | ||||
\(424\) | −7.43171e8 | − | 6.23595e8i | −0.473487 | − | 0.397303i | ||||
\(425\) | −1.57300e9 | − | 5.72526e8i | −0.993957 | − | 0.361771i | ||||
\(426\) | 3.50784e8 | + | 1.27675e8i | 0.219840 | + | 0.0800151i | ||||
\(427\) | −1.62531e9 | − | 1.36380e9i | −1.01027 | − | 0.847720i | ||||
\(428\) | −1.67702e8 | + | 9.51083e8i | −0.103391 | + | 0.586361i | ||||
\(429\) | −4.58683e7 | + | 2.60132e8i | −0.0280486 | + | 0.159072i | ||||
\(430\) | 5.84292e7 | + | 1.01202e8i | 0.0354397 | + | 0.0613834i | ||||
\(431\) | −5.02712e8 | + | 4.21826e8i | −0.302447 | + | 0.253783i | −0.781362 | − | 0.624078i | \(-0.785475\pi\) |
0.478915 | + | 0.877861i | \(0.341030\pi\) | |||||||
\(432\) | −3.38186e8 | + | 1.23090e8i | −0.201819 | + | 0.0734563i | ||||
\(433\) | 4.70667e8 | − | 8.15219e8i | 0.278616 | − | 0.482577i | −0.692425 | − | 0.721490i | \(-0.743458\pi\) |
0.971041 | + | 0.238913i | \(0.0767911\pi\) | |||||||
\(434\) | −4.21625e8 | − | 7.30275e8i | −0.247578 | − | 0.428817i | ||||
\(435\) | −9.12109e7 | − | 7.65350e7i | −0.0531293 | − | 0.0445808i | ||||
\(436\) | 3.69831e8 | − | 6.40567e8i | 0.213698 | − | 0.370136i | ||||
\(437\) | 9.83379e8 | + | 5.57702e9i | 0.563684 | + | 3.19681i | ||||
\(438\) | 1.37541e8 | 0.0782117 | ||||||||
\(439\) | −7.09091e6 | − | 4.02146e7i | −0.00400015 | − | 0.0226860i | 0.982742 | − | 0.184980i | \(-0.0592219\pi\) |
−0.986743 | + | 0.162294i | \(0.948111\pi\) | |||||||
\(440\) | −8.90923e7 | + | 7.47574e7i | −0.0498604 | + | 0.0418379i | ||||
\(441\) | −5.35857e8 | − | 1.95036e8i | −0.297518 | − | 0.108288i | ||||
\(442\) | 6.16481e8 | − | 2.24381e8i | 0.339580 | − | 0.123597i | ||||
\(443\) | −6.82268e7 | −0.0372857 | −0.0186428 | − | 0.999826i | \(-0.505935\pi\) | ||||
−0.0186428 | + | 0.999826i | \(0.505935\pi\) | |||||||
\(444\) | −2.14088e7 | − | 5.11182e8i | −0.0116078 | − | 0.277163i | ||||
\(445\) | 2.62971e8 | 0.141465 | ||||||||
\(446\) | −7.31156e8 | + | 2.66119e8i | −0.390246 | + | 0.142038i | ||||
\(447\) | 5.55274e6 | + | 2.02103e6i | 0.00294057 | + | 0.00107028i | ||||
\(448\) | 2.37334e8 | − | 1.99147e8i | 0.124706 | − | 0.104640i | ||||
\(449\) | −5.47237e8 | − | 3.10354e9i | −0.285308 | − | 1.61806i | −0.704184 | − | 0.710017i | \(-0.748687\pi\) |
0.418877 | − | 0.908043i | \(-0.362424\pi\) | |||||||
\(450\) | 8.23826e8 | 0.426179 | ||||||||
\(451\) | 3.61760e7 | + | 2.05165e8i | 0.0185696 | + | 0.105314i | ||||
\(452\) | 4.68564e8 | − | 8.11577e8i | 0.238663 | − | 0.413376i | ||||
\(453\) | 4.73584e8 | + | 3.97384e8i | 0.239361 | + | 0.200848i | ||||
\(454\) | 1.83030e8 | + | 3.17018e8i | 0.0917969 | + | 0.158997i | ||||
\(455\) | −6.18097e7 | + | 1.07058e8i | −0.0307622 | + | 0.0532816i | ||||
\(456\) | −1.06363e9 | + | 3.87129e8i | −0.525306 | + | 0.191196i | ||||
\(457\) | 2.88640e8 | − | 2.42197e8i | 0.141465 | − | 0.118703i | −0.569309 | − | 0.822124i | \(-0.692789\pi\) |
0.710774 | + | 0.703420i | \(0.248345\pi\) | |||||||
\(458\) | 2.66497e8 | + | 4.61587e8i | 0.129618 | + | 0.224504i | ||||
\(459\) | −2.65866e8 | + | 1.50780e9i | −0.128327 | + | 0.727779i | ||||
\(460\) | −5.86711e7 | + | 3.32740e8i | −0.0281042 | + | 0.159387i | ||||
\(461\) | −1.70644e8 | − | 1.43187e8i | −0.0811217 | − | 0.0680692i | 0.601325 | − | 0.799004i | \(-0.294640\pi\) |
−0.682447 | + | 0.730935i | \(0.739084\pi\) | |||||||
\(462\) | 1.90125e8 | + | 6.91997e7i | 0.0896998 | + | 0.0326481i | ||||
\(463\) | 8.94426e8 | + | 3.25544e8i | 0.418804 | + | 0.152432i | 0.542822 | − | 0.839848i | \(-0.317356\pi\) |
−0.124018 | + | 0.992280i | \(0.539578\pi\) | |||||||
\(464\) | 8.38570e8 | + | 7.03643e8i | 0.389696 | + | 0.326994i | ||||
\(465\) | −1.98842e7 | + | 1.12769e8i | −0.00917113 | + | 0.0520120i | ||||
\(466\) | −2.64823e8 | + | 1.50188e9i | −0.121228 | + | 0.687521i | ||||
\(467\) | −1.33328e9 | − | 2.30932e9i | −0.605778 | − | 1.04924i | −0.991928 | − | 0.126803i | \(-0.959528\pi\) |
0.386150 | − | 0.922436i | \(-0.373805\pi\) | |||||||
\(468\) | 7.40428e8 | − | 6.21293e8i | 0.333905 | − | 0.280179i | ||||
\(469\) | 1.13486e9 | − | 4.13054e8i | 0.507968 | − | 0.184885i | ||||
\(470\) | 4.75364e7 | − | 8.23355e7i | 0.0211195 | − | 0.0365801i | ||||
\(471\) | 4.88478e8 | + | 8.46069e8i | 0.215413 | + | 0.373106i | ||||
\(472\) | 3.56572e7 | + | 2.99199e7i | 0.0156081 | + | 0.0130967i | ||||
\(473\) | 9.20136e8 | − | 1.59372e9i | 0.399796 | − | 0.692467i | ||||
\(474\) | −1.41660e8 | − | 8.03395e8i | −0.0610976 | − | 0.346501i | ||||
\(475\) | −3.97703e9 | −1.70267 | ||||||||
\(476\) | 2.61227e8 | + | 1.48149e9i | 0.111018 | + | 0.629614i | ||||
\(477\) | −1.10638e9 | + | 9.28362e8i | −0.466755 | + | 0.391654i | ||||
\(478\) | −7.73193e8 | − | 2.81419e8i | −0.323810 | − | 0.117857i | ||||
\(479\) | −1.85874e9 | + | 6.76526e8i | −0.772760 | + | 0.281262i | −0.698150 | − | 0.715951i | \(-0.745993\pi\) |
−0.0746096 | + | 0.997213i | \(0.523771\pi\) | |||||||
\(480\) | −1.06130e8 | −0.0438019 | ||||||||
\(481\) | 6.26588e8 | + | 1.52035e9i | 0.256728 | + | 0.622926i | ||||
\(482\) | 1.62285e9 | 0.660105 | ||||||||
\(483\) | 1.28918e9 | − | 4.69224e8i | 0.520594 | − | 0.189481i | ||||
\(484\) | −1.01965e9 | − | 3.71121e8i | −0.408781 | − | 0.148784i | ||||
\(485\) | 1.05048e8 | − | 8.81460e7i | 0.0418112 | − | 0.0350838i | ||||
\(486\) | −2.01076e8 | − | 1.14036e9i | −0.0794571 | − | 0.450623i | ||||
\(487\) | 4.18747e9 | 1.64286 | 0.821430 | − | 0.570309i | \(-0.193177\pi\) | ||||
0.821430 | + | 0.570309i | \(0.193177\pi\) | |||||||
\(488\) | 6.46884e8 | + | 3.66866e9i | 0.251975 | + | 1.42902i | ||||
\(489\) | −4.36936e8 | + | 7.56795e8i | −0.168981 | + | 0.292683i | ||||
\(490\) | −4.20282e7 | − | 3.52658e7i | −0.0161382 | − | 0.0135415i | ||||
\(491\) | 1.04876e9 | + | 1.81651e9i | 0.399846 | + | 0.692553i | 0.993707 | − | 0.112015i | \(-0.0357304\pi\) |
−0.593861 | + | 0.804568i | \(0.702397\pi\) | |||||||
\(492\) | −6.04841e7 | + | 1.04762e8i | −0.0228962 | + | 0.0396574i | ||||
\(493\) | 4.37616e9 | − | 1.59279e9i | 1.64486 | − | 0.598680i | ||||
\(494\) | 1.19400e9 | − | 1.00188e9i | 0.445614 | − | 0.373915i | ||||
\(495\) | 8.65707e7 | + | 1.49945e8i | 0.0320814 | + | 0.0555666i | ||||
\(496\) | 1.82810e8 | − | 1.03677e9i | 0.0672689 | − | 0.381501i | ||||
\(497\) | 4.77740e8 | − | 2.70940e9i | 0.174560 | − | 0.989977i | ||||
\(498\) | 5.15817e8 | + | 4.32822e8i | 0.187151 | + | 0.157039i | ||||
\(499\) | −3.69142e8 | − | 1.34357e8i | −0.132997 | − | 0.0484069i | 0.274664 | − | 0.961540i | \(-0.411433\pi\) |
−0.407661 | + | 0.913133i | \(0.633656\pi\) | |||||||
\(500\) | −4.48917e8 | − | 1.63392e8i | −0.160609 | − | 0.0584570i | ||||
\(501\) | −5.69606e8 | − | 4.77956e8i | −0.202368 | − | 0.169807i | ||||
\(502\) | −1.15882e7 | + | 6.57200e7i | −0.00408840 | + | 0.0231865i | ||||
\(503\) | −6.70002e8 | + | 3.79977e9i | −0.234741 | + | 1.33128i | 0.608418 | + | 0.793616i | \(0.291804\pi\) |
−0.843159 | + | 0.537664i | \(0.819307\pi\) | |||||||
\(504\) | −8.64008e8 | − | 1.49651e9i | −0.300615 | − | 0.520681i | ||||
\(505\) | −3.42544e8 | + | 2.87429e8i | −0.118358 | + | 0.0993139i | ||||
\(506\) | −1.67017e9 | + | 6.07891e8i | −0.573103 | + | 0.208593i | ||||
\(507\) | −2.96495e8 | + | 5.13545e8i | −0.101039 | + | 0.175005i | ||||
\(508\) | 7.20575e8 | + | 1.24807e9i | 0.243869 | + | 0.422393i | ||||
\(509\) | −2.20066e9 | − | 1.84657e9i | −0.739673 | − | 0.620659i | 0.193077 | − | 0.981184i | \(-0.438153\pi\) |
−0.932750 | + | 0.360524i | \(0.882598\pi\) | |||||||
\(510\) | −3.41190e7 | + | 5.90959e7i | −0.0113894 | + | 0.0197270i | ||||
\(511\) | −1.76023e8 | − | 9.98273e8i | −0.0583573 | − | 0.330961i | ||||
\(512\) | 1.80399e9 | 0.594005 | ||||||||
\(513\) | 6.31652e8 | + | 3.58228e9i | 0.206570 | + | 1.17152i | ||||
\(514\) | −1.34175e8 | + | 1.12586e8i | −0.0435814 | + | 0.0365691i | ||||
\(515\) | −4.78145e8 | − | 1.74030e8i | −0.154253 | − | 0.0561436i | ||||
\(516\) | 1.00413e9 | − | 3.65472e8i | 0.321747 | − | 0.117106i | ||||
\(517\) | −1.49720e9 | −0.476499 | ||||||||
\(518\) | 1.23019e9 | − | 2.70434e8i | 0.388882 | − | 0.0854885i | ||||
\(519\) | 1.43922e9 | 0.451898 | ||||||||
\(520\) | 2.03961e8 | − | 7.42356e7i | 0.0636114 | − | 0.0231526i | ||||
\(521\) | −4.20191e8 | − | 1.52937e8i | −0.130171 | − | 0.0473785i | 0.276113 | − | 0.961125i | \(-0.410954\pi\) |
−0.406284 | + | 0.913747i | \(0.633176\pi\) | |||||||
\(522\) | −1.75571e9 | + | 1.47322e9i | −0.540265 | + | 0.453336i | ||||
\(523\) | 2.64434e7 | + | 1.49968e8i | 0.00808278 | + | 0.0458397i | 0.988582 | − | 0.150681i | \(-0.0481467\pi\) |
−0.980500 | + | 0.196521i | \(0.937036\pi\) | |||||||
\(524\) | 3.85401e9 | 1.17018 | ||||||||
\(525\) | 1.67304e8 | + | 9.48828e8i | 0.0504602 | + | 0.286174i | ||||
\(526\) | 1.05298e9 | − | 1.82381e9i | 0.315478 | − | 0.546424i | ||||
\(527\) | −3.43088e9 | − | 2.87885e9i | −1.02110 | − | 0.856806i | ||||
\(528\) | 1.26298e8 | + | 2.18755e8i | 0.0373403 | + | 0.0646754i | ||||
\(529\) | −4.32345e9 | + | 7.48844e9i | −1.26980 | + | 2.19936i | ||||
\(530\) | −1.30575e8 | + | 4.75253e7i | −0.0380973 | + | 0.0138663i | ||||
\(531\) | 5.30838e7 | − | 4.45426e7i | 0.0153862 | − | 0.0129105i | ||||
\(532\) | 1.78703e9 | + | 3.09523e9i | 0.514567 | + | 0.891256i | ||||
\(533\) | 6.75142e7 | − | 3.82892e8i | 0.0193130 | − | 0.109530i | ||||
\(534\) | −1.39482e8 | + | 7.91042e8i | −0.0396391 | + | 0.224805i | ||||
\(535\) | 2.47325e8 | + | 2.07530e8i | 0.0698279 | + | 0.0585926i | ||||
\(536\) | −1.99258e9 | − | 7.25239e8i | −0.558905 | − | 0.203425i | ||||
\(537\) | −1.26075e9 | − | 4.58876e8i | −0.351333 | − | 0.127875i | ||||
\(538\) | −8.34778e8 | − | 7.00462e8i | −0.231118 | − | 0.193931i | ||||
\(539\) | −1.50030e8 | + | 8.50865e8i | −0.0412685 | + | 0.234045i | ||||
\(540\) | −3.76861e7 | + | 2.13728e8i | −0.0102992 | + | 0.0584096i | ||||
\(541\) | −1.87717e8 | − | 3.25135e8i | −0.0509698 | − | 0.0882823i | 0.839415 | − | 0.543491i | \(-0.182898\pi\) |
−0.890385 | + | 0.455209i | \(0.849565\pi\) | |||||||
\(542\) | 1.18816e9 | − | 9.96985e8i | 0.320537 | − | 0.268962i | ||||
\(543\) | 8.79205e7 | − | 3.20004e7i | 0.0235663 | − | 0.00857741i | ||||
\(544\) | 2.07549e9 | − | 3.59486e9i | 0.552746 | − | 0.957384i | ||||
\(545\) | −1.23637e8 | − | 2.14146e8i | −0.0327162 | − | 0.0566661i | ||||
\(546\) | −2.89255e8 | − | 2.42714e8i | −0.0760513 | − | 0.0638146i | ||||
\(547\) | 2.59646e9 | − | 4.49720e9i | 0.678307 | − | 1.17486i | −0.297184 | − | 0.954820i | \(-0.596047\pi\) |
0.975491 | − | 0.220041i | \(-0.0706192\pi\) | |||||||
\(548\) | 1.75744e8 | + | 9.96693e8i | 0.0456192 | + | 0.258720i | ||||
\(549\) | 5.54589e9 | 1.43043 | ||||||||
\(550\) | −2.16746e8 | − | 1.22923e9i | −0.0555498 | − | 0.315038i | ||||
\(551\) | 8.47571e9 | − | 7.11197e9i | 2.15847 | − | 1.81117i | ||||
\(552\) | −2.26354e9 | − | 8.23861e8i | −0.572798 | − | 0.208481i | ||||
\(553\) | −5.64977e9 | + | 2.05635e9i | −1.42067 | + | 0.517081i | ||||
\(554\) | −2.50576e9 | −0.626118 | ||||||||
\(555\) | −1.51575e8 | − | 7.92478e7i | −0.0376360 | − | 0.0196771i | ||||
\(556\) | 1.29124e9 | 0.318600 | ||||||||
\(557\) | −3.97691e9 | + | 1.44748e9i | −0.975108 | + | 0.354910i | −0.779936 | − | 0.625859i | \(-0.784749\pi\) |
−0.195171 | + | 0.980769i | \(0.562526\pi\) | |||||||
\(558\) | 2.07124e9 | + | 7.53870e8i | 0.504674 | + | 0.183686i | ||||
\(559\) | −2.63094e9 | + | 2.20762e9i | −0.637043 | + | 0.534543i | ||||
\(560\) | 2.05278e7 | + | 1.16419e8i | 0.00493951 | + | 0.0280134i | ||||
\(561\) | 1.07461e9 | 0.256968 | ||||||||
\(562\) | 9.86231e6 | + | 5.59319e7i | 0.00234370 | + | 0.0132918i | ||||
\(563\) | 8.55486e8 | − | 1.48174e9i | 0.202038 | − | 0.349940i | −0.747147 | − | 0.664659i | \(-0.768577\pi\) |
0.949185 | + | 0.314719i | \(0.101910\pi\) | |||||||
\(564\) | −6.65967e8 | − | 5.58813e8i | −0.156306 | − | 0.131156i | ||||
\(565\) | −1.56645e8 | − | 2.71316e8i | −0.0365381 | − | 0.0632858i | ||||
\(566\) | 9.07970e8 | − | 1.57265e9i | 0.210481 | − | 0.364565i | ||||
\(567\) | −1.97292e9 | + | 7.18086e8i | −0.454538 | + | 0.165438i | ||||
\(568\) | −3.70040e9 | + | 3.10501e9i | −0.847285 | + | 0.710957i | ||||
\(569\) | −2.94503e9 | − | 5.10094e9i | −0.670188 | − | 1.16080i | −0.977851 | − | 0.209304i | \(-0.932880\pi\) |
0.307662 | − | 0.951496i | \(-0.400453\pi\) | |||||||
\(570\) | −2.81522e7 | + | 1.59659e8i | −0.00636723 | + | 0.0361103i | ||||
\(571\) | −7.34723e8 | + | 4.16682e9i | −0.165157 | + | 0.936653i | 0.783745 | + | 0.621083i | \(0.213307\pi\) |
−0.948902 | + | 0.315570i | \(0.897804\pi\) | |||||||
\(572\) | −1.12183e9 | − | 9.41331e8i | −0.250635 | − | 0.210308i | ||||
\(573\) | 1.27976e9 | + | 4.65796e8i | 0.284177 | + | 0.103432i | ||||
\(574\) | −2.79848e8 | − | 1.01856e8i | −0.0617632 | − | 0.0224800i | ||||
\(575\) | −6.48352e9 | − | 5.44032e9i | −1.42224 | − | 1.19340i | ||||
\(576\) | −1.40625e8 | + | 7.97527e8i | −0.0306609 | + | 0.173887i | ||||
\(577\) | −8.81392e8 | + | 4.99862e9i | −0.191009 | + | 1.08327i | 0.726980 | + | 0.686659i | \(0.240923\pi\) |
−0.917989 | + | 0.396606i | \(0.870188\pi\) | |||||||
\(578\) | −1.72943e8 | − | 2.99547e8i | −0.0372526 | − | 0.0645234i | ||||
\(579\) | −3.22261e7 | + | 2.70409e7i | −0.00689975 | + | 0.00578958i | ||||
\(580\) | 6.20314e8 | − | 2.25776e8i | 0.132012 | − | 0.0480484i | ||||
\(581\) | 2.48130e9 | − | 4.29773e9i | 0.524883 | − | 0.909124i | ||||
\(582\) | 2.09433e8 | + | 3.62749e8i | 0.0440367 | + | 0.0762738i | ||||
\(583\) | 1.67629e9 | + | 1.40658e9i | 0.350356 | + | 0.293984i | ||||
\(584\) | −8.89901e8 | + | 1.54135e9i | −0.184883 | + | 0.320227i | ||||
\(585\) | −5.61107e7 | − | 3.18220e8i | −0.0115878 | − | 0.0657175i | ||||
\(586\) | 4.26082e9 | 0.874685 | ||||||||
\(587\) | −2.02685e8 | − | 1.14949e9i | −0.0413608 | − | 0.234569i | 0.957119 | − | 0.289697i | \(-0.0935544\pi\) |
−0.998479 | + | 0.0551280i | \(0.982443\pi\) | |||||||
\(588\) | −3.84311e8 | + | 3.22476e8i | −0.0779584 | + | 0.0654148i | ||||
\(589\) | −9.99892e9 | − | 3.63931e9i | −2.01627 | − | 0.733864i | ||||
\(590\) | 6.26494e6 | − | 2.28025e6i | 0.00125584 | − | 0.000457089i | ||||
\(591\) | 1.71317e9 | 0.341385 | ||||||||
\(592\) | 1.39355e9 | + | 7.28584e8i | 0.276055 | + | 0.144329i | ||||
\(593\) | −5.69145e8 | −0.112081 | −0.0560404 | − | 0.998428i | \(-0.517848\pi\) | ||||
−0.0560404 | + | 0.998428i | \(0.517848\pi\) | |||||||
\(594\) | −1.07279e9 | + | 3.90465e8i | −0.210022 | + | 0.0764416i | ||||
\(595\) | 4.72585e8 | + | 1.72007e8i | 0.0919751 | + | 0.0334762i | ||||
\(596\) | −2.50962e7 | + | 2.10582e7i | −0.00485564 | + | 0.00407437i | ||||
\(597\) | −4.92418e8 | − | 2.79264e9i | −0.0947160 | − | 0.537161i | ||||
\(598\) | 3.31702e9 | 0.634299 | ||||||||
\(599\) | −9.64510e8 | − | 5.47001e9i | −0.183363 | − | 1.03991i | −0.928040 | − | 0.372480i | \(-0.878507\pi\) |
0.744677 | − | 0.667425i | \(-0.232604\pi\) | |||||||
\(600\) | 8.45824e8 | − | 1.46501e9i | 0.159864 | − | 0.276893i | ||||
\(601\) | 3.52317e9 | + | 2.95629e9i | 0.662022 | + | 0.555503i | 0.910692 | − | 0.413086i | \(-0.135549\pi\) |
−0.248670 | + | 0.968588i | \(0.579993\pi\) | |||||||
\(602\) | 1.31534e9 | + | 2.27823e9i | 0.245725 | + | 0.425608i | ||||
\(603\) | −1.57839e9 | + | 2.73385e9i | −0.293159 | + | 0.507766i | ||||
\(604\) | −3.22078e9 | + | 1.17227e9i | −0.594747 | + | 0.216470i | ||||
\(605\) | −2.77884e8 | + | 2.33173e8i | −0.0510176 | + | 0.0428089i | ||||
\(606\) | −6.82925e8 | − | 1.18286e9i | −0.124658 | − | 0.215913i | ||||
\(607\) | −8.37403e7 | + | 4.74915e8i | −0.0151976 | + | 0.0861897i | −0.991463 | − | 0.130387i | \(-0.958378\pi\) |
0.976266 | + | 0.216577i | \(0.0694891\pi\) | |||||||
\(608\) | 1.71253e9 | − | 9.71221e9i | 0.309011 | − | 1.75249i | ||||
\(609\) | −2.05331e9 | − | 1.72293e9i | −0.368378 | − | 0.309106i | ||||
\(610\) | 5.01396e8 | + | 1.82493e8i | 0.0894388 | + | 0.0325531i | ||||
\(611\) | 2.62566e9 | + | 9.55662e8i | 0.465687 | + | 0.169496i | ||||
\(612\) | −3.01224e9 | − | 2.52757e9i | −0.531202 | − | 0.445732i | ||||
\(613\) | 3.65117e8 | − | 2.07068e9i | 0.0640207 | − | 0.363080i | −0.935920 | − | 0.352212i | \(-0.885430\pi\) |
0.999941 | − | 0.0108675i | \(-0.00345929\pi\) | |||||||
\(614\) | −2.94422e8 | + | 1.66975e9i | −0.0513311 | + | 0.291113i | ||||
\(615\) | 2.02203e7 | + | 3.50226e7i | 0.00350530 | + | 0.00607135i | ||||
\(616\) | −2.00562e9 | + | 1.68291e9i | −0.345713 | + | 0.290087i | ||||
\(617\) | −2.06184e9 | + | 7.50448e8i | −0.353392 | + | 0.128624i | −0.512615 | − | 0.858618i | \(-0.671323\pi\) |
0.159223 | + | 0.987243i | \(0.449101\pi\) | |||||||
\(618\) | 7.77112e8 | − | 1.34600e9i | 0.132442 | − | 0.229395i | ||||
\(619\) | 2.11763e9 | + | 3.66785e9i | 0.358867 | + | 0.621576i | 0.987772 | − | 0.155906i | \(-0.0498298\pi\) |
−0.628905 | + | 0.777482i | \(0.716496\pi\) | |||||||
\(620\) | −4.86323e8 | − | 4.08073e8i | −0.0819509 | − | 0.0687649i | ||||
\(621\) | −3.87058e9 | + | 6.70404e9i | −0.648568 | + | 1.12335i | ||||
\(622\) | 7.49783e8 | + | 4.25223e9i | 0.124931 | + | 0.708517i | ||||
\(623\) | 5.91991e9 | 0.980859 | ||||||||
\(624\) | −8.18600e7 | − | 4.64251e8i | −0.0134873 | − | 0.0764904i | ||||
\(625\) | 4.49164e9 | − | 3.76894e9i | 0.735911 | − | 0.617503i | ||||
\(626\) | −7.70138e8 | − | 2.80307e8i | −0.125475 | − | 0.0456693i | ||||
\(627\) | 2.39911e9 | − | 8.73204e8i | 0.388699 | − | 0.141475i | ||||
\(628\) | −5.41637e9 | −0.872668 | ||||||||
\(629\) | 5.64855e9 | − | 3.58443e9i | 0.905023 | − | 0.574305i | ||||
\(630\) | −2.47506e8 | −0.0394361 | ||||||||
\(631\) | −3.69151e9 | + | 1.34360e9i | −0.584927 | + | 0.212896i | −0.617497 | − | 0.786573i | \(-0.711853\pi\) |
0.0325696 | + | 0.999469i | \(0.489631\pi\) | |||||||
\(632\) | 9.91984e9 | + | 3.61053e9i | 1.56313 | + | 0.568932i | ||||
\(633\) | −5.87941e8 | + | 4.93341e8i | −0.0921342 | + | 0.0773098i | ||||
\(634\) | −2.41225e7 | − | 1.36805e8i | −0.00375932 | − | 0.0213202i | ||||
\(635\) | 4.81788e8 | 0.0746702 | ||||||||
\(636\) | 2.20641e8 | + | 1.25132e9i | 0.0340084 | + | 0.192871i | ||||
\(637\) | 8.06219e8 | − | 1.39641e9i | 0.123585 | − | 0.214055i | ||||
\(638\) | 2.66011e9 | + | 2.23210e9i | 0.405534 | + | 0.340283i | ||||
\(639\) | 3.59567e9 | + | 6.22788e9i | 0.545163 | + | 0.944250i | ||||
\(640\) | 3.53515e8 | − | 6.12306e8i | 0.0533062 | − | 0.0923290i | ||||
\(641\) | −2.17706e9 | + | 7.92385e8i | −0.326488 | + | 0.118832i | −0.500064 | − | 0.865989i | \(-0.666690\pi\) |
0.173576 | + | 0.984821i | \(0.444468\pi\) | |||||||
\(642\) | −7.55453e8 | + | 6.33901e8i | −0.112677 | + | 0.0945472i | ||||
\(643\) | 4.34254e9 | + | 7.52150e9i | 0.644177 | + | 1.11575i | 0.984491 | + | 0.175436i | \(0.0561334\pi\) |
−0.340314 | + | 0.940312i | \(0.610533\pi\) | |||||||
\(644\) | −1.32078e9 | + | 7.49053e9i | −0.194864 | + | 1.10513i | ||||
\(645\) | 6.20325e7 | − | 3.51804e8i | 0.00910249 | − | 0.0516228i | ||||
\(646\) | −4.85747e9 | − | 4.07590e9i | −0.708919 | − | 0.594854i | ||||
\(647\) | 1.88918e9 | + | 6.87604e8i | 0.274225 | + | 0.0998098i | 0.475472 | − | 0.879731i | \(-0.342277\pi\) |
−0.201247 | + | 0.979541i | \(0.564499\pi\) | |||||||
\(648\) | 3.46405e9 | + | 1.26081e9i | 0.500117 | + | 0.182028i | ||||
\(649\) | −8.04280e7 | − | 6.74871e7i | −0.0115492 | − | 0.00969091i | ||||
\(650\) | −4.04507e8 | + | 2.29407e9i | −0.0577736 | + | 0.327650i | ||||
\(651\) | −4.47626e8 | + | 2.53861e9i | −0.0635890 | + | 0.360631i | ||||
\(652\) | −2.42243e9 | − | 4.19576e9i | −0.342282 | − | 0.592850i | ||||
\(653\) | −3.06716e9 | + | 2.57365e9i | −0.431063 | + | 0.361704i | −0.832352 | − | 0.554247i | \(-0.813006\pi\) |
0.401290 | + | 0.915951i | \(0.368562\pi\) | |||||||
\(654\) | 7.09751e8 | − | 2.58328e8i | 0.0992166 | − | 0.0361119i | ||||
\(655\) | 6.44212e8 | − | 1.11581e9i | 0.0895745 | − | 0.155148i | ||||
\(656\) | −1.85900e8 | − | 3.21989e8i | −0.0257109 | − | 0.0445325i | ||||
\(657\) | 2.02974e9 | + | 1.70315e9i | 0.279230 | + | 0.234302i | ||||
\(658\) | 1.07012e9 | − | 1.85351e9i | 0.146434 | − | 0.253632i | ||||
\(659\) | 1.10247e8 | + | 6.25243e8i | 0.0150061 | + | 0.0851040i | 0.991391 | − | 0.130934i | \(-0.0417976\pi\) |
−0.976385 | + | 0.216038i | \(0.930686\pi\) | |||||||
\(660\) | 1.52324e8 | 0.0206236 | ||||||||
\(661\) | 2.31466e9 | + | 1.31271e10i | 0.311732 | + | 1.76792i | 0.589985 | + | 0.807414i | \(0.299134\pi\) |
−0.278253 | + | 0.960508i | \(0.589755\pi\) | |||||||
\(662\) | 3.37375e9 | − | 2.83091e9i | 0.451970 | − | 0.379248i | ||||
\(663\) | −1.88456e9 | − | 6.85922e8i | −0.251138 | − | 0.0914066i | ||||
\(664\) | −8.18783e9 | + | 2.98013e9i | −1.08538 | + | 0.395045i | ||||
\(665\) | 1.19484e9 | 0.157555 | ||||||||
\(666\) | −2.00891e9 | + | 2.60845e9i | −0.263512 | + | 0.342155i | ||||
\(667\) | 2.35462e10 | 3.07242 | ||||||||
\(668\) | 3.87382e9 | − | 1.40995e9i | 0.502830 | − | 0.183015i | ||||
\(669\) | 2.23511e9 | + | 8.13514e8i | 0.288608 | + | 0.105045i | ||||
\(670\) | −2.32660e8 | + | 1.95225e8i | −0.0298854 | + | 0.0250769i | ||||
\(671\) | −1.45911e9 | − | 8.27501e9i | −0.186448 | − | 1.05740i | ||||
\(672\) | −2.38916e9 | −0.303705 | ||||||||
\(673\) | 1.53291e9 | + | 8.69359e9i | 0.193850 | + | 1.09938i | 0.914047 | + | 0.405608i | \(0.132940\pi\) |
−0.720198 | + | 0.693769i | \(0.755949\pi\) | |||||||
\(674\) | −1.43114e9 | + | 2.47880e9i | −0.180041 | + | 0.311840i | ||||
\(675\) | −4.16455e9 | − | 3.49447e9i | −0.521200 | − | 0.437339i | ||||
\(676\) | −1.64381e9 | − | 2.84715e9i | −0.204662 | − | 0.354485i | ||||
\(677\) | −2.48929e9 | + | 4.31157e9i | −0.308329 | + | 0.534042i | −0.977997 | − | 0.208619i | \(-0.933103\pi\) |
0.669668 | + | 0.742661i | \(0.266437\pi\) | |||||||
\(678\) | 8.99232e8 | − | 3.27294e8i | 0.110807 | − | 0.0403305i | ||||
\(679\) | 2.36481e9 | − | 1.98431e9i | 0.289903 | − | 0.243257i | ||||
\(680\) | −4.41507e8 | − | 7.64713e8i | −0.0538464 | − | 0.0932647i | ||||
\(681\) | 1.94318e8 | − | 1.10203e9i | 0.0235775 | − | 0.133715i | ||||
\(682\) | 5.79910e8 | − | 3.28883e9i | 0.0700028 | − | 0.397005i | ||||
\(683\) | −9.92102e9 | − | 8.32472e9i | −1.19147 | − | 0.999764i | −0.999833 | − | 0.0182982i | \(-0.994175\pi\) |
−0.191639 | − | 0.981465i | \(-0.561380\pi\) | |||||||
\(684\) | −8.77884e9 | − | 3.19523e9i | −1.04892 | − | 0.381774i | ||||
\(685\) | 3.17938e8 | + | 1.15720e8i | 0.0377942 | + | 0.0137560i | ||||
\(686\) | −3.52514e9 | − | 2.95795e9i | −0.416910 | − | 0.349829i | ||||
\(687\) | 2.82932e8 | − | 1.60459e9i | 0.0332915 | − | 0.188806i | ||||
\(688\) | −5.70311e8 | + | 3.23439e9i | −0.0667655 | + | 0.378646i | ||||
\(689\) | −2.04193e9 | − | 3.53672e9i | −0.237833 | − | 0.411939i | ||||
\(690\) | −2.64298e8 | + | 2.21773e8i | −0.0306283 | + | 0.0257002i | ||||
\(691\) | 7.27367e9 | − | 2.64740e9i | 0.838649 | − | 0.305243i | 0.113246 | − | 0.993567i | \(-0.463875\pi\) |
0.725404 | + | 0.688324i | \(0.241653\pi\) | |||||||
\(692\) | −3.98959e9 | + | 6.91018e9i | −0.457675 | + | 0.792717i | ||||
\(693\) | 1.94885e9 | + | 3.37551e9i | 0.222440 | + | 0.385277i | ||||
\(694\) | −9.69441e8 | − | 8.13457e8i | −0.110094 | − | 0.0923797i | ||||
\(695\) | 2.15836e8 | − | 3.73839e8i | 0.0243880 | − | 0.0422413i | ||||
\(696\) | 8.17230e8 | + | 4.63474e9i | 0.0918780 | + | 0.521066i | ||||
\(697\) | −1.58173e9 | −0.176937 | ||||||||
\(698\) | 1.45040e9 | + | 8.22563e9i | 0.161434 | + | 0.915536i | ||||
\(699\) | 3.57132e9 | − | 2.99669e9i | 0.395511 | − | 0.331873i | ||||
\(700\) | −5.01943e9 | − | 1.82692e9i | −0.553110 | − | 0.201316i | ||||
\(701\) | −6.10531e9 | + | 2.22215e9i | −0.669413 | + | 0.243647i | −0.654295 | − | 0.756239i | \(-0.727035\pi\) |
−0.0151181 | + | 0.999886i | \(0.504812\pi\) | |||||||
\(702\) | 2.13061e9 | 0.232447 | ||||||||
\(703\) | 9.69802e9 | − | 1.25923e10i | 1.05278 | − | 1.36698i | ||||
\(704\) | 1.22699e9 | 0.132536 | ||||||||
\(705\) | −2.73106e8 | + | 9.94025e7i | −0.0293541 | + | 0.0106840i | ||||
\(706\) | −7.96596e9 | − | 2.89937e9i | −0.851965 | − | 0.310090i | ||||
\(707\) | −7.71123e9 | + | 6.47049e9i | −0.820646 | + | 0.688604i | ||||
\(708\) | −1.05863e7 | − | 6.00379e7i | −0.00112106 | − | 0.00635783i | ||||
\(709\) | 7.79544e9 | 0.821446 | 0.410723 | − | 0.911760i | \(-0.365276\pi\) | ||||
0.410723 | + | 0.911760i | \(0.365276\pi\) | |||||||
\(710\) | 1.20144e8 | + | 6.81373e8i | 0.0125979 | + | 0.0714464i | ||||
\(711\) | 7.85784e9 | − | 1.36102e10i | 0.819898 | − | 1.42011i | ||||
\(712\) | −7.96238e9 | − | 6.68123e9i | −0.826728 | − | 0.693707i | ||||
\(713\) | −1.13223e10 | − | 1.96109e10i | −1.16983 | − | 2.02620i | ||||
\(714\) | −7.68076e8 | + | 1.33035e9i | −0.0789697 | + | 0.136779i | ||||
\(715\) | −4.60052e8 | + | 1.67445e8i | −0.0470691 | + | 0.0171318i | ||||
\(716\) | 5.69810e9 | − | 4.78128e9i | 0.580142 | − | 0.486797i | ||||
\(717\) | 1.25765e9 | + | 2.17832e9i | 0.127422 | + | 0.220701i | ||||
\(718\) | 1.31367e8 | − | 7.45018e8i | 0.0132449 | − | 0.0751157i | ||||
\(719\) | 2.17138e9 | − | 1.23145e10i | 0.217863 | − | 1.23556i | −0.658005 | − | 0.753014i | \(-0.728599\pi\) |
0.875868 | − | 0.482551i | \(-0.160290\pi\) | |||||||
\(720\) | −2.36709e8 | − | 1.98622e8i | −0.0236347 | − | 0.0198319i | ||||
\(721\) | −1.07638e10 | − | 3.91771e9i | −1.06953 | − | 0.389277i | ||||
\(722\) | −9.40122e9 | − | 3.42176e9i | −0.929617 | − | 0.338353i | ||||
\(723\) | −3.80032e9 | − | 3.18885e9i | −0.373970 | − | 0.313798i | ||||
\(724\) | −9.00756e7 | + | 5.10844e8i | −0.00882109 | + | 0.0500269i | ||||
\(725\) | −2.87143e9 | + | 1.62847e10i | −0.279844 | + | 1.58707i | ||||
\(726\) | −5.54013e8 | − | 9.59579e8i | −0.0537331 | − | 0.0930685i | ||||
\(727\) | −6.80669e9 | + | 5.71149e9i | −0.657000 | + | 0.551288i | −0.909186 | − | 0.416390i | \(-0.863295\pi\) |
0.252186 | + | 0.967679i | \(0.418851\pi\) | |||||||
\(728\) | 4.59149e9 | − | 1.67117e9i | 0.441056 | − | 0.160531i | ||||
\(729\) | 1.40952e9 | − | 2.44137e9i | 0.134749 | − | 0.233393i | ||||
\(730\) | 1.27462e8 | + | 2.20770e8i | 0.0121269 | + | 0.0210044i | ||||
\(731\) | 1.07033e10 | + | 8.98113e9i | 1.01346 | + | 0.850394i | ||||
\(732\) | 2.43954e9 | − | 4.22540e9i | 0.229889 | − | 0.398180i | ||||
\(733\) | 1.51314e9 | + | 8.58143e9i | 0.141910 | + | 0.804814i | 0.969796 | + | 0.243917i | \(0.0784325\pi\) |
−0.827886 | + | 0.560897i | \(0.810456\pi\) | |||||||
\(734\) | 2.24397e9 | 0.209450 | ||||||||
\(735\) | 2.91237e7 | + | 1.65169e8i | 0.00270546 | + | 0.0153434i | ||||
\(736\) | 1.60775e10 | − | 1.34907e10i | 1.48644 | − | 1.24727i | ||||
\(737\) | 4.49444e9 | + | 1.63584e9i | 0.413561 | + | 0.150524i | ||||
\(738\) | 7.31493e8 | − | 2.66242e8i | 0.0669905 | − | 0.0243825i | ||||
\(739\) | −1.71327e10 | −1.56160 | −0.780801 | − | 0.624780i | \(-0.785189\pi\) | ||||
−0.780801 | + | 0.624780i | \(0.785189\pi\) | |||||||
\(740\) | 8.00673e8 | − | 5.08087e8i | 0.0726347 | − | 0.0460922i | ||||
\(741\) | −4.76473e9 | −0.430204 | ||||||||
\(742\) | −2.93945e9 | + | 1.06987e9i | −0.264151 | + | 0.0961432i | ||||
\(743\) | 3.21319e9 | + | 1.16951e9i | 0.287393 | + | 0.104602i | 0.481694 | − | 0.876339i | \(-0.340022\pi\) |
−0.194301 | + | 0.980942i | \(0.562244\pi\) | |||||||
\(744\) | 3.46715e9 | − | 2.90929e9i | 0.308651 | − | 0.258989i | ||||
\(745\) | 1.90183e6 | + | 1.07858e7i | 0.000168509 | + | 0.000955665i | ||||
\(746\) | −1.18568e9 | −0.104563 | ||||||||
\(747\) | 2.25252e9 | + | 1.27746e10i | 0.197718 | + | 1.12131i | ||||
\(748\) | −2.97887e9 | + | 5.15956e9i | −0.260253 | + | 0.450772i | ||||
\(749\) | 5.56769e9 | + | 4.67184e9i | 0.484159 | + | 0.406258i | ||||
\(750\) | −2.43914e8 | − | 4.22471e8i | −0.0211117 | − | 0.0365665i | ||||
\(751\) | −6.96888e9 | + | 1.20705e10i | −0.600376 | + | 1.03988i | 0.392388 | + | 0.919800i | \(0.371649\pi\) |
−0.992764 | + | 0.120082i | \(0.961684\pi\) | |||||||
\(752\) | 2.51087e9 | − | 9.13881e8i | 0.215309 | − | 0.0783659i | ||||
\(753\) | 1.56275e8 | − | 1.31130e8i | 0.0133385 | − | 0.0111923i | ||||
\(754\) | −3.24033e9 | − | 5.61242e9i | −0.275290 | − | 0.476816i | ||||
\(755\) | −1.98972e8 | + | 1.12843e9i | −0.0168259 | + | 0.0954244i | ||||
\(756\) | −8.48375e8 | + | 4.81138e9i | −0.0714105 | + | 0.404989i | ||||
\(757\) | −1.44409e10 | − | 1.21174e10i | −1.20993 | − | 1.01525i | −0.999290 | − | 0.0376873i | \(-0.988001\pi\) |
−0.210640 | − | 0.977564i | \(-0.567555\pi\) | |||||||
\(758\) | −2.53822e9 | − | 9.23835e8i | −0.211683 | − | 0.0770464i | ||||
\(759\) | 5.10562e9 | + | 1.85829e9i | 0.423841 | + | 0.154265i | ||||
\(760\) | −1.60708e9 | − | 1.34850e9i | −0.132797 | − | 0.111430i | ||||
\(761\) | −2.11107e9 | + | 1.19725e10i | −0.173643 | + | 0.984778i | 0.766055 | + | 0.642774i | \(0.222217\pi\) |
−0.939698 | + | 0.342004i | \(0.888894\pi\) | |||||||
\(762\) | −2.55544e8 | + | 1.44926e9i | −0.0209230 | + | 0.118660i | ||||
\(763\) | −2.78328e9 | − | 4.82079e9i | −0.226841 | − | 0.392900i | ||||
\(764\) | −5.78404e9 | + | 4.85338e9i | −0.469250 | + | 0.393748i | ||||
\(765\) | −1.23529e9 | + | 4.49608e8i | −0.0997593 | + | 0.0363094i | ||||
\(766\) | −1.82330e9 | + | 3.15806e9i | −0.146575 | + | 0.253875i | ||||
\(767\) | 9.79710e7 | + | 1.69691e8i | 0.00783996 | + | 0.0135792i | ||||
\(768\) | 2.38245e9 | + | 1.99912e9i | 0.189784 | + | 0.159248i | ||||
\(769\) | 1.04174e10 | − | 1.80435e10i | 0.826070 | − | 1.43080i | −0.0750285 | − | 0.997181i | \(-0.523905\pi\) |
0.901099 | − | 0.433614i | \(-0.142762\pi\) | |||||||
\(770\) | 6.51182e7 | + | 3.69304e8i | 0.00514026 | + | 0.0291518i | ||||
\(771\) | 5.35436e8 | 0.0420743 | ||||||||
\(772\) | −4.05002e7 | − | 2.29688e8i | −0.00316808 | − | 0.0179671i | ||||
\(773\) | 4.79500e9 | − | 4.02348e9i | 0.373388 | − | 0.313309i | −0.436712 | − | 0.899601i | \(-0.643857\pi\) |
0.810100 | + | 0.586292i | \(0.199413\pi\) | |||||||
\(774\) | −6.46162e9 | − | 2.35184e9i | −0.500897 | − | 0.182312i | ||||
\(775\) | 1.49437e10 | − | 5.43908e9i | 1.15320 | − | 0.419729i | ||||
\(776\) | −5.42021e9 | −0.416390 | ||||||||
\(777\) | −3.41221e9 | − | 1.78400e9i | −0.260953 | − | 0.136433i | ||||
\(778\) | 4.97614e9 | 0.378847 | ||||||||
\(779\) | −3.53129e9 | + | 1.28528e9i | −0.267641 | + | 0.0974132i | ||||
\(780\) | −2.67133e8 | − | 9.72284e7i | −0.0201556 | − | 0.00733605i | ||||
\(781\) | 8.34660e9 | − | 7.00363e9i | 0.626947 | − | 0.526071i | ||||
\(782\) | −2.34329e9 | − | 1.32894e10i | −0.175227 | − | 0.993763i | ||||
\(783\) | 1.51244e10 | 1.12593 | ||||||||
\(784\) | −2.67756e8 | − | 1.51852e9i | −0.0198441 | − | 0.112542i | ||||
\(785\) | −9.05367e8 | + | 1.56814e9i | −0.0668006 | + | 0.115702i | ||||
\(786\) | 3.01476e9 | + | 2.52969e9i | 0.221449 | + | 0.185818i | ||||
\(787\) | 7.59790e9 | + | 1.31600e10i | 0.555625 | + | 0.962371i | 0.997855 | + | 0.0654693i | \(0.0208544\pi\) |
−0.442229 | + | 0.896902i | \(0.645812\pi\) | |||||||
\(788\) | −4.74901e9 | + | 8.22552e9i | −0.345749 | + | 0.598855i | ||||
\(789\) | −6.04956e9 | + | 2.20186e9i | −0.438485 | + | 0.159595i | ||||
\(790\) | 1.15827e9 | − | 9.71907e8i | 0.0835827 | − | 0.0701342i | ||||
\(791\) | −3.52633e9 | − | 6.10778e9i | −0.253341 | − | 0.438799i | ||||
\(792\) | 1.18837e9 | − | 6.73959e9i | 0.0849991 | − | 0.482054i | ||||
\(793\) | −2.72309e9 | + | 1.54434e10i | −0.193912 | + | 1.09973i | ||||
\(794\) | 7.30670e9 | + | 6.13105e9i | 0.518023 | + | 0.434673i | ||||
\(795\) | 3.99161e8 | + | 1.45283e8i | 0.0281750 | + | 0.0102548i | ||||
\(796\) | 1.47734e10 | + | 5.37709e9i | 1.03821 | + | 0.377878i | ||||
\(797\) | −8.58385e9 | − | 7.20270e9i | −0.600590 | − | 0.503955i | 0.291046 | − | 0.956709i | \(-0.405997\pi\) |
−0.891635 | + | 0.452755i | \(0.850441\pi\) | |||||||
\(798\) | −6.33752e8 | + | 3.59419e9i | −0.0441478 | + | 0.250375i | ||||
\(799\) | 1.97392e9 | − | 1.11947e10i | 0.136904 | − | 0.776421i | ||||
\(800\) | 7.36959e9 | + | 1.27645e10i | 0.508895 | + | 0.881432i | ||||
\(801\) | −1.18538e10 | + | 9.94652e9i | −0.814974 | + | 0.683844i | ||||
\(802\) | −1.20062e10 | + | 4.36990e9i | −0.821855 | + | 0.299131i | ||||
\(803\) | 2.00725e9 | − | 3.47667e9i | 0.136804 | − | 0.236951i | ||||
\(804\) | 1.38861e9 | + | 2.40514e9i | 0.0942289 | + | 0.163209i | ||||
\(805\) | 1.94788e9 | + | 1.63446e9i | 0.131606 | + | 0.110431i | ||||
\(806\) | −3.11627e9 | + | 5.39753e9i | −0.209634 | + | 0.363097i | ||||
\(807\) | 5.78464e8 | + | 3.28063e9i | 0.0387453 | + | 0.219735i | ||||
\(808\) | 1.76744e10 | 1.17870 | ||||||||
\(809\) | 2.16837e9 | + | 1.22975e10i | 0.143984 | + | 0.816574i | 0.968177 | + | 0.250266i | \(0.0805179\pi\) |
−0.824193 | + | 0.566309i | \(0.808371\pi\) | |||||||
\(810\) | 4.04474e8 | − | 3.39394e8i | 0.0267420 | − | 0.0224392i | ||||
\(811\) | −1.86185e10 | − | 6.77659e9i | −1.22567 | − | 0.446106i | −0.353556 | − | 0.935413i | \(-0.615028\pi\) |
−0.872112 | + | 0.489307i | \(0.837250\pi\) | |||||||
\(812\) | 1.39643e10 | − | 5.08258e9i | 0.915319 | − | 0.333149i | ||||
\(813\) | −4.74144e9 | −0.309452 | ||||||||
\(814\) | 4.42060e9 | + | 2.31121e9i | 0.287274 | + | 0.150195i | ||||
\(815\) | −1.61967e9 | −0.104803 | ||||||||
\(816\) | −1.80216e9 | + | 6.55934e8i | −0.116112 | + | 0.0422615i | ||||
\(817\) | 3.11935e10 | + | 1.13535e10i | 2.00119 | + | 0.728372i | ||||
\(818\) | 2.69889e8 | − | 2.26464e8i | 0.0172405 | − | 0.0144665i | ||||
\(819\) | −1.26314e9 | − | 7.16364e9i | −0.0803451 | − | 0.455659i | ||||
\(820\) | −2.24208e8 | −0.0142004 | ||||||||
\(821\) | 1.36645e9 | + | 7.74953e9i | 0.0861773 | + | 0.488736i | 0.997096 | + | 0.0761506i | \(0.0242630\pi\) |
−0.910919 | + | 0.412585i | \(0.864626\pi\) | |||||||
\(822\) | −5.16734e8 | + | 8.95009e8i | −0.0324500 | + | 0.0562051i | ||||
\(823\) | −9.87539e9 | − | 8.28643e9i | −0.617525 | − | 0.518165i | 0.279499 | − | 0.960146i | \(-0.409832\pi\) |
−0.897025 | + | 0.441981i | \(0.854276\pi\) | |||||||
\(824\) | 1.00560e10 | + | 1.74175e10i | 0.626152 | + | 1.08453i | ||||
\(825\) | −1.90783e9 | + | 3.30447e9i | −0.118291 | + | 0.204886i | ||||
\(826\) | 1.41034e8 | − | 5.13322e7i | 0.00870751 | − | 0.00316928i | ||||
\(827\) | −6.50504e9 | + | 5.45838e9i | −0.399927 | + | 0.335579i | −0.820465 | − | 0.571696i | \(-0.806286\pi\) |
0.420538 | + | 0.907275i | \(0.361841\pi\) | |||||||
\(828\) | −9.94076e9 | − | 1.72179e10i | −0.608574 | − | 1.05408i | ||||
\(829\) | −1.59870e9 | + | 9.06668e9i | −0.0974600 | + | 0.552723i | 0.896506 | + | 0.443032i | \(0.146097\pi\) |
−0.993966 | + | 0.109691i | \(0.965014\pi\) | |||||||
\(830\) | −2.16716e8 | + | 1.22906e9i | −0.0131558 | + | 0.0746104i | ||||
\(831\) | 5.86791e9 | + | 4.92376e9i | 0.354715 | + | 0.297641i | ||||
\(832\) | −2.15179e9 | − | 7.83187e8i | −0.129529 | − | 0.0471448i | ||||
\(833\) | −6.16419e9 | − | 2.24358e9i | −0.369504 | − | 0.134488i | ||||
\(834\) | 1.01006e9 | + | 8.47543e8i | 0.0602930 | + | 0.0505918i | ||||
\(835\) | 2.39315e8 | − | 1.35722e9i | 0.0142255 | − | 0.0806768i | ||||
\(836\) | −2.45792e9 | + | 1.39395e10i | −0.145494 | + | 0.825138i | ||||
\(837\) | −7.27265e9 | − | 1.25966e10i | −0.428700 | − | 0.742530i | ||||
\(838\) | 4.98868e9 | − | 4.18600e9i | 0.292841 | − | 0.245723i | ||||
\(839\) | 1.08760e10 | − | 3.95855e9i | 0.635774 | − | 0.231403i | −0.00396829 | − | 0.999992i | \(-0.501263\pi\) |
0.639743 | + | 0.768589i | \(0.279041\pi\) | |||||||
\(840\) | −2.54115e8 | + | 4.40140e8i | −0.0147929 | + | 0.0256220i | ||||
\(841\) | −1.43769e10 | − | 2.49015e10i | −0.833449 | − | 1.44358i | ||||
\(842\) | 8.17369e9 | + | 6.85854e9i | 0.471874 | + | 0.395949i | ||||
\(843\) | 8.68095e7 | − | 1.50359e8i | 0.00499081 | − | 0.00864433i | ||||
\(844\) | −7.38895e8 | − | 4.19048e9i | −0.0423043 | − | 0.239920i | ||||
\(845\) | −1.09907e9 | −0.0626655 | ||||||||
\(846\) | 9.71454e8 | + | 5.50939e9i | 0.0551602 | + | 0.312829i | ||||
\(847\) | −6.25563e9 | + | 5.24910e9i | −0.353736 | + | 0.296820i | ||||
\(848\) | −3.66979e9 | − | 1.33569e9i | −0.206659 | − | 0.0752179i | ||||
\(849\) | −5.21646e9 | + | 1.89864e9i | −0.292550 | + | 0.106479i | ||||
\(850\) | 9.47682e9 | 0.529293 | ||||||||
\(851\) | 3.30356e10 | − | 7.26227e9i | 1.83751 | − | 0.403942i | ||||
\(852\) | 6.32668e9 | 0.350459 | ||||||||
\(853\) | −1.04384e10 | + | 3.79928e9i | −0.575856 | + | 0.209594i | −0.613497 | − | 0.789697i | \(-0.710238\pi\) |
0.0376413 | + | 0.999291i | \(0.488016\pi\) | |||||||
\(854\) | 1.12872e10 | + | 4.10822e9i | 0.620134 | + | 0.225710i | ||||
\(855\) | −2.39250e9 | + | 2.00754e9i | −0.130909 | + | 0.109846i | ||||
\(856\) | −2.21598e9 | − | 1.25674e10i | −0.120755 | − | 0.684838i | ||||
\(857\) | 2.70255e10 | 1.46670 | 0.733350 | − | 0.679851i | \(-0.237956\pi\) | ||||
0.733350 | + | 0.679851i | \(0.237956\pi\) | |||||||
\(858\) | −2.59676e8 | − | 1.47270e9i | −0.0140354 | − | 0.0795990i | ||||
\(859\) | −2.30492e9 | + | 3.99224e9i | −0.124074 | + | 0.214902i | −0.921370 | − | 0.388686i | \(-0.872929\pi\) |
0.797297 | + | 0.603587i | \(0.206263\pi\) | |||||||
\(860\) | 1.51718e9 | + | 1.27306e9i | 0.0813376 | + | 0.0682503i | ||||
\(861\) | 4.55192e8 | + | 7.88416e8i | 0.0243043 | + | 0.0420964i | ||||
\(862\) | 1.85761e9 | − | 3.21748e9i | 0.0987824 | − | 0.171096i | ||||
\(863\) | −3.11542e10 | + | 1.13392e10i | −1.64998 | + | 0.600543i | −0.988741 | − | 0.149634i | \(-0.952190\pi\) |
−0.661237 | + | 0.750177i | \(0.729968\pi\) | |||||||
\(864\) | 1.03270e10 | − | 8.66542e9i | 0.544726 | − | 0.457079i | ||||
\(865\) | 1.33375e9 | + | 2.31013e9i | 0.0700679 | + | 0.121361i | ||||
\(866\) | −9.25408e8 | + | 5.24825e9i | −0.0484195 | + | 0.274601i | ||||
\(867\) | −1.83609e8 | + | 1.04130e9i | −0.00956812 | + | 0.0542635i | ||||
\(868\) | −1.09479e10 | − | 9.18640e9i | −0.568215 | − | 0.476789i | ||||
\(869\) | −2.23751e10 | − | 8.14387e9i | −1.15663 | − | 0.420980i | ||||
\(870\) | 6.33429e8 | + | 2.30549e8i | 0.0326122 | + | 0.0118699i | ||||
\(871\) | −6.83782e9 | − | 5.73762e9i | −0.350634 | − | 0.294217i | ||||
\(872\) | −1.69719e9 | + | 9.62527e9i | −0.0866810 | + | 0.491592i | ||||
\(873\) | −1.40120e9 | + | 7.94662e9i | −0.0712773 | + | 0.404234i | ||||
\(874\) | −1.60302e10 | − | 2.77652e10i | −0.812176 | − | 1.40673i | ||||
\(875\) | −2.75415e9 | + | 2.31101e9i | −0.138982 | + | 0.116620i | ||||
\(876\) | 2.19048e9 | − | 7.97268e8i | 0.110097 | − | 0.0400719i | ||||
\(877\) | 4.27541e9 | − | 7.40524e9i | 0.214032 | − | 0.370715i | −0.738940 | − | 0.673771i | \(-0.764673\pi\) |
0.952973 | + | 0.303056i | \(0.0980068\pi\) | |||||||
\(878\) | 1.15590e8 | + | 2.00208e8i | 0.00576356 | + | 0.00998277i | ||||
\(879\) | −9.97784e9 | − | 8.37240e9i | −0.495536 | − | 0.415804i | ||||
\(880\) | −2.34086e8 | + | 4.05450e8i | −0.0115794 | + | 0.0200562i | ||||
\(881\) | −2.33516e9 | − | 1.32434e10i | −0.115054 | − | 0.652504i | −0.986723 | − | 0.162409i | \(-0.948073\pi\) |
0.871669 | − | 0.490094i | \(-0.163038\pi\) | |||||||
\(882\) | 3.22837e9 | 0.158432 | ||||||||
\(883\) | 3.43002e9 | + | 1.94526e10i | 0.167662 | + | 0.950856i | 0.946278 | + | 0.323356i | \(0.104811\pi\) |
−0.778616 | + | 0.627501i | \(0.784078\pi\) | |||||||
\(884\) | 8.51746e9 | − | 7.14699e9i | 0.414693 | − | 0.347969i | ||||
\(885\) | −1.91517e7 | − | 6.97063e6i | −0.000928763 | − | 0.000338042i | ||||
\(886\) | 3.62961e8 | − | 1.32107e8i | 0.0175324 | − | 0.00638129i | ||||
\(887\) | −1.69113e10 | −0.813663 | −0.406831 | − | 0.913503i | \(-0.633366\pi\) | ||||
−0.406831 | + | 0.913503i | \(0.633366\pi\) | |||||||
\(888\) | 2.57606e9 | + | 6.25054e9i | 0.123455 | + | 0.299552i | ||||
\(889\) | 1.08458e10 | 0.517734 | ||||||||
\(890\) | −1.39898e9 | + | 5.09189e8i | −0.0665193 | + | 0.0242111i | ||||
\(891\) | −7.81349e9 | − | 2.84388e9i | −0.370061 | − | 0.134691i | ||||
\(892\) | −1.01018e10 | + | 8.47644e9i | −0.476566 | + | 0.399886i | ||||
\(893\) | −4.68970e9 | − | 2.65966e10i | −0.220376 | − | 1.24982i | ||||
\(894\) | −3.34535e7 | −0.00156589 | ||||||||
\(895\) | −4.31810e8 | − | 2.44892e9i | −0.0201332 | − | 0.114181i | ||||
\(896\) | 7.95820e9 | − | 1.37840e10i | 0.369604 | − | 0.640173i | ||||
\(897\) | −7.76768e9 | − | 6.51785e9i | −0.359350 | − | 0.301530i | ||||
\(898\) | 8.92062e9 | + | 1.54510e10i | 0.411081 | + | 0.712014i | ||||
\(899\) | −2.21211e10 | + | 3.83149e10i | −1.01543 | + | 1.75877i | ||||
\(900\) | 1.31203e10 | − | 4.77539e9i | 0.599922 | − | 0.218354i | ||||
\(901\) | −1.27271e10 | + | 1.06793e10i | −0.579688 | + | 0.486416i | ||||
\(902\) | −5.89713e8 | − | 1.02141e9i | −0.0267558 | − | 0.0463424i | ||||
\(903\) | 1.39645e9 | − | 7.91968e9i | 0.0631131 | − | 0.357932i | ||||
\(904\) | −2.15029e9 | + | 1.21949e10i | −0.0968071 | + | 0.549021i | ||||
\(905\) | 1.32843e8 | + | 1.11468e8i | 0.00595754 | + | 0.00499897i | ||||
\(906\) | −3.28888e9 | − | 1.19706e9i | −0.146926 | − | 0.0534768i | ||||
\(907\) | −3.64079e10 | − | 1.32514e10i | −1.62020 | − | 0.589706i | −0.636783 | − | 0.771043i | \(-0.719735\pi\) |
−0.983421 | + | 0.181337i | \(0.941958\pi\) | |||||||
\(908\) | 4.75258e9 | + | 3.98789e9i | 0.210683 | + | 0.176784i | ||||
\(909\) | 4.56908e9 | − | 2.59125e10i | 0.201769 | − | 1.14429i | ||||
\(910\) | 1.21528e8 | − | 6.89220e8i | 0.00534603 | − | 0.0303189i | ||||
\(911\) | 4.25932e9 | + | 7.37737e9i | 0.186649 | + | 0.323286i | 0.944131 | − | 0.329570i | \(-0.106904\pi\) |
−0.757482 | + | 0.652856i | \(0.773571\pi\) | |||||||
\(912\) | −3.49042e9 | + | 2.92881e9i | −0.152369 | + | 0.127852i | ||||
\(913\) | 1.84684e10 | − | 6.72195e9i | 0.803122 | − | 0.292312i | ||||
\(914\) | −1.06657e9 | + | 1.84736e9i | −0.0462040 | + | 0.0800277i | ||||
\(915\) | −8.15556e8 | − | 1.41258e9i | −0.0351949 | − | 0.0609594i | ||||
\(916\) | 6.91989e9 | + | 5.80647e9i | 0.297485 | + | 0.249619i | ||||
\(917\) | 1.45023e10 | − | 2.51187e10i | 0.621074 | − | 1.07573i | ||||
\(918\) | −1.50516e9 | − | 8.53617e9i | −0.0642144 | − | 0.364178i | ||||
\(919\) | 3.27089e10 | 1.39015 | 0.695075 | − | 0.718937i | \(-0.255371\pi\) | ||||
0.695075 | + | 0.718937i | \(0.255371\pi\) | |||||||
\(920\) | −7.75268e8 | − | 4.39676e9i | −0.0328242 | − | 0.186155i | ||||
\(921\) | 3.97048e9 | − | 3.33162e9i | 0.167469 | − | 0.140523i | ||||
\(922\) | 1.18506e9 | + | 4.31328e8i | 0.0497948 | + | 0.0181238i | ||||
\(923\) | −1.91080e10 | + | 6.95475e9i | −0.799852 | + | 0.291122i | ||||
\(924\) | 3.42906e9 | 0.142996 | ||||||||
\(925\) | 9.93972e8 | + | 2.37333e10i | 0.0412931 | + | 0.985966i | ||||
\(926\) | −5.38863e9 | −0.223018 | ||||||||
\(927\) | 2.81355e10 | − | 1.02405e10i | 1.16005 | − | 0.422223i | ||||
\(928\) | −3.85321e10 | − | 1.40245e10i | −1.58272 | − | 0.576064i | ||||
\(929\) | −3.24920e9 | + | 2.72640e9i | −0.132960 | + | 0.111567i | −0.706842 | − | 0.707371i | \(-0.749881\pi\) |
0.573883 | + | 0.818938i | \(0.305437\pi\) | |||||||
\(930\) | −1.12571e8 | − | 6.38423e8i | −0.00458920 | − | 0.0260267i | ||||
\(931\) | −1.55850e10 | −0.632968 | ||||||||
\(932\) | 4.48825e9 | + | 2.54541e10i | 0.181602 | + | 1.02992i | ||||
\(933\) | 6.59970e9 | − | 1.14310e10i | 0.266035 | − | 0.460786i | ||||
\(934\) | 1.15645e10 | + | 9.70376e9i | 0.464421 | + | 0.389696i | ||||
\(935\) | 9.95860e8 | + | 1.72488e9i | 0.0398435 | + | 0.0690110i | ||||
\(936\) | −6.38596e9 | + | 1.10608e10i | −0.254543 | + | 0.440881i | ||||
\(937\) | 5.45031e9 | − | 1.98375e9i | 0.216438 | − | 0.0787769i | −0.231526 | − | 0.972829i | \(-0.574372\pi\) |
0.447963 | + | 0.894052i | \(0.352150\pi\) | |||||||
\(938\) | −5.23756e9 | + | 4.39483e9i | −0.207214 | + | 0.173873i | ||||
\(939\) | 1.25269e9 | + | 2.16972e9i | 0.0493756 | + | 0.0855211i | ||||
\(940\) | 2.79800e8 | − | 1.58683e9i | 0.0109875 | − | 0.0623135i | ||||
\(941\) | 2.87822e9 | − | 1.63232e10i | 0.112606 | − | 0.638619i | −0.875302 | − | 0.483576i | \(-0.839338\pi\) |
0.987908 | − | 0.155042i | \(-0.0495513\pi\) | |||||||
\(942\) | −4.23690e9 | − | 3.55519e9i | −0.165147 | − | 0.138575i | ||||
\(943\) | −7.51505e9 | − | 2.73525e9i | −0.291837 | − | 0.106220i | ||||
\(944\) | 1.76075e8 | + | 6.40862e7i | 0.00681235 | + | 0.00247949i | ||||
\(945\) | 1.25118e9 | + | 1.04986e9i | 0.0482289 | + | 0.0404688i | ||||
\(946\) | −1.80914e9 | + | 1.02601e10i | −0.0694789 | + | 0.394034i | ||||
\(947\) | −4.43954e9 | + | 2.51779e10i | −0.169869 | + | 0.963374i | 0.774033 | + | 0.633146i | \(0.218237\pi\) |
−0.943901 | + | 0.330228i | \(0.892874\pi\) | |||||||
\(948\) | −6.91305e9 | − | 1.19738e10i | −0.263536 | − | 0.456458i | ||||
\(949\) | −5.73932e9 | + | 4.81586e9i | −0.217986 | + | 0.182912i | ||||
\(950\) | 2.11575e10 | − | 7.70069e9i | 0.800629 | − | 0.291405i | ||||
\(951\) | −2.12330e8 | + | 3.67766e8i | −0.00800533 | + | 0.0138656i | ||||
\(952\) | −9.93905e9 | − | 1.72149e10i | −0.373350 | − | 0.646660i | ||||
\(953\) | −4.54272e9 | − | 3.81180e9i | −0.170016 | − | 0.142661i | 0.553809 | − | 0.832644i | \(-0.313174\pi\) |
−0.723826 | + | 0.689983i | \(0.757618\pi\) | |||||||
\(954\) | 4.08827e9 | − | 7.08109e9i | 0.152447 | − | 0.264047i | ||||
\(955\) | 4.38323e8 | + | 2.48585e9i | 0.0162848 | + | 0.0923556i | ||||
\(956\) | −1.39452e10 | −0.516204 | ||||||||
\(957\) | −1.84334e9 | − | 1.04541e10i | −0.0679850 | − | 0.385562i | ||||
\(958\) | 8.57840e9 | − | 7.19814e9i | 0.315230 | − | 0.264509i | ||||
\(959\) | 7.15730e9 | + | 2.60505e9i | 0.262050 | + | 0.0953784i | ||||
\(960\) | 2.23817e8 | − | 8.14626e7i | 0.00816475 | − | 0.00297173i | ||||
\(961\) | 1.50357e10 | 0.546503 | ||||||||
\(962\) | −6.27724e9 | − | 6.87489e9i | −0.227330 | − | 0.248974i | ||||
\(963\) | −1.89981e10 | −0.685516 | ||||||||
\(964\) | 2.58455e10 | − | 9.40699e9i | 0.929213 | − | 0.338206i | ||||
\(965\) | −7.32689e7 | − | 2.66677e7i | −0.00262466 | − | 0.000955300i | ||||
\(966\) | −5.94979e9 | + | 4.99247e9i | −0.212365 | + | 0.178195i | ||||
\(967\) | −2.96772e8 | − | 1.68308e9i | −0.0105543 | − | 0.0598565i | 0.979076 | − | 0.203496i | \(-0.0652305\pi\) |
−0.989630 | + | 0.143640i | \(0.954119\pi\) | |||||||
\(968\) | 1.43381e10 | 0.508074 | ||||||||
\(969\) | 3.36601e9 | + | 1.90896e10i | 0.118845 | + | 0.674006i | ||||
\(970\) | −3.88172e8 | + | 6.72334e8i | −0.0136560 | + | 0.0236529i | ||||
\(971\) | −9.70408e9 | − | 8.14269e9i | −0.340163 | − | 0.285431i | 0.456663 | − | 0.889640i | \(-0.349045\pi\) |
−0.796826 | + | 0.604209i | \(0.793489\pi\) | |||||||
\(972\) | −9.81253e9 | − | 1.69958e10i | −0.342728 | − | 0.593622i | ||||
\(973\) | 4.85882e9 | − | 8.41573e9i | 0.169097 | − | 0.292885i | ||||
\(974\) | −2.22770e10 | + | 8.10817e9i | −0.772504 | + | 0.281169i | ||||
\(975\) | 5.45505e9 | − | 4.57733e9i | 0.188488 | − | 0.158160i | ||||
\(976\) | 7.49802e9 | + | 1.29869e10i | 0.258150 | + | 0.447129i | ||||
\(977\) | 5.28907e8 | − | 2.99958e9i | 0.0181446 | − | 0.102903i | −0.974390 | − | 0.224863i | \(-0.927807\pi\) |
0.992535 | + | 0.121959i | \(0.0389178\pi\) | |||||||
\(978\) | 8.59088e8 | − | 4.87213e9i | 0.0293665 | − | 0.166545i | ||||
\(979\) | 1.79599e10 | + | 1.50701e10i | 0.611736 | + | 0.513307i | ||||
\(980\) | −8.73765e8 | − | 3.18024e8i | −0.0296554 | − | 0.0107937i | ||||
\(981\) | 1.36729e10 | + | 4.97654e9i | 0.462403 | + | 0.168301i | ||||
\(982\) | −9.09664e9 | − | 7.63299e9i | −0.306543 | − | 0.257220i | ||||
\(983\) | 2.21426e9 | − | 1.25577e10i | 0.0743517 | − | 0.421669i | −0.924799 | − | 0.380457i | \(-0.875767\pi\) |
0.999150 | − | 0.0412126i | \(-0.0131221\pi\) | |||||||
\(984\) | 2.77568e8 | − | 1.57417e9i | 0.00928723 | − | 0.0526705i | ||||
\(985\) | 1.58763e9 | + | 2.74986e9i | 0.0529325 | + | 0.0916818i | ||||
\(986\) | −2.01967e10 | + | 1.69471e10i | −0.670983 | + | 0.563021i | ||||
\(987\) | −6.14807e9 | + | 2.23771e9i | −0.203530 | + | 0.0740789i | ||||
\(988\) | 1.32081e10 | − | 2.28771e10i | 0.435704 | − | 0.754662i | ||||
\(989\) | 3.53222e10 | + | 6.11798e10i | 1.16108 | + | 2.01104i | ||||
\(990\) | −7.50887e8 | − | 6.30069e8i | −0.0245953 | − | 0.0206379i | ||||
\(991\) | 6.68565e9 | − | 1.15799e10i | 0.218216 | − | 0.377961i | −0.736047 | − | 0.676931i | \(-0.763310\pi\) |
0.954263 | + | 0.298970i | \(0.0966430\pi\) | |||||||
\(992\) | 6.84782e9 | + | 3.88359e10i | 0.222721 | + | 1.26311i | ||||
\(993\) | −1.34632e10 | −0.436340 | ||||||||
\(994\) | 2.70465e9 | + | 1.53388e10i | 0.0873491 | + | 0.495381i | ||||
\(995\) | 4.02621e9 | − | 3.37839e9i | 0.129573 | − | 0.108725i | ||||
\(996\) | 1.07238e10 | + | 3.90315e9i | 0.343908 | + | 0.125172i | ||||
\(997\) | 1.84216e10 | − | 6.70492e9i | 0.588701 | − | 0.214270i | −0.0304570 | − | 0.999536i | \(-0.509696\pi\) |
0.619158 | + | 0.785266i | \(0.287474\pi\) | |||||||
\(998\) | 2.22396e9 | 0.0708223 | ||||||||
\(999\) | 2.12197e10 | − | 4.66475e9i | 0.673380 | − | 0.148030i |
(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 | 37.8.f.a.7.8 | ✓ | 132 | |
37.16 | even | 9 | inner | 37.8.f.a.16.8 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.8.f.a.7.8 | ✓ | 132 | 1.1 | even | 1 | trivial | |
37.8.f.a.16.8 | yes | 132 | 37.16 | even | 9 | inner |