Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,3,Mod(29,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.29");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.i (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.08720396540\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.10 | ||
Character | \(\chi\) | \(=\) | 150.29 |
Dual form | 150.3.i.a.119.10 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.437016 | + | 1.34500i | −0.218508 | + | 0.672499i | ||||
\(3\) | 2.92672 | − | 0.659017i | 0.975574 | − | 0.219672i | ||||
\(4\) | −1.61803 | − | 1.17557i | −0.404508 | − | 0.293893i | ||||
\(5\) | −4.08750 | − | 2.87964i | −0.817500 | − | 0.575928i | ||||
\(6\) | −0.392649 | + | 4.22443i | −0.0654414 | + | 0.704072i | ||||
\(7\) | − | 12.3067i | − | 1.75810i | −0.476732 | − | 0.879049i | \(-0.658179\pi\) | ||
0.476732 | − | 0.879049i | \(-0.341821\pi\) | |||||||
\(8\) | 2.28825 | − | 1.66251i | 0.286031 | − | 0.207813i | ||||
\(9\) | 8.13139 | − | 3.85752i | 0.903488 | − | 0.428613i | ||||
\(10\) | 5.65941 | − | 4.23923i | 0.565941 | − | 0.423923i | ||||
\(11\) | 0.160129 | + | 0.0520290i | 0.0145572 | + | 0.00472991i | 0.316287 | − | 0.948664i | \(-0.397564\pi\) |
−0.301729 | + | 0.953394i | \(0.597564\pi\) | |||||||
\(12\) | −5.51025 | − | 2.37426i | −0.459188 | − | 0.197855i | ||||
\(13\) | 3.28958 | − | 1.06885i | 0.253044 | − | 0.0822191i | −0.179748 | − | 0.983713i | \(-0.557528\pi\) |
0.432792 | + | 0.901494i | \(0.357528\pi\) | |||||||
\(14\) | 16.5524 | + | 5.37822i | 1.18232 | + | 0.384158i | ||||
\(15\) | −13.8607 | − | 5.73418i | −0.924047 | − | 0.382279i | ||||
\(16\) | 1.23607 | + | 3.80423i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 5.09181 | − | 3.69941i | 0.299518 | − | 0.217613i | −0.427868 | − | 0.903841i | \(-0.640735\pi\) |
0.727386 | + | 0.686229i | \(0.240735\pi\) | |||||||
\(18\) | 1.63480 | + | 12.6225i | 0.0908221 | + | 0.701250i | ||||
\(19\) | −10.0004 | + | 7.26573i | −0.526338 | + | 0.382407i | −0.818986 | − | 0.573813i | \(-0.805464\pi\) |
0.292648 | + | 0.956220i | \(0.405464\pi\) | |||||||
\(20\) | 3.22849 | + | 9.46450i | 0.161425 | + | 0.473225i | ||||
\(21\) | −8.11031 | − | 36.0182i | −0.386205 | − | 1.71515i | ||||
\(22\) | −0.139958 | + | 0.192635i | −0.00636171 | + | 0.00875614i | ||||
\(23\) | −8.44200 | + | 25.9818i | −0.367044 | + | 1.12964i | 0.581648 | + | 0.813441i | \(0.302408\pi\) |
−0.948691 | + | 0.316203i | \(0.897592\pi\) | |||||||
\(24\) | 5.60144 | − | 6.37369i | 0.233393 | − | 0.265570i | ||||
\(25\) | 8.41532 | + | 23.5411i | 0.336613 | + | 0.941643i | ||||
\(26\) | 4.89157i | 0.188137i | ||||||||
\(27\) | 21.2562 | − | 16.6486i | 0.787265 | − | 0.616615i | ||||
\(28\) | −14.4674 | + | 19.9126i | −0.516692 | + | 0.711165i | ||||
\(29\) | 12.7605 | − | 17.5633i | 0.440018 | − | 0.605632i | −0.530199 | − | 0.847874i | \(-0.677883\pi\) |
0.970216 | + | 0.242241i | \(0.0778826\pi\) | |||||||
\(30\) | 13.7698 | − | 16.1367i | 0.458994 | − | 0.537889i | ||||
\(31\) | 35.5750 | − | 25.8467i | 1.14758 | − | 0.833765i | 0.159422 | − | 0.987210i | \(-0.449037\pi\) |
0.988157 | + | 0.153445i | \(0.0490369\pi\) | |||||||
\(32\) | −5.65685 | −0.176777 | ||||||||
\(33\) | 0.502940 | + | 0.0467468i | 0.0152406 | + | 0.00141657i | ||||
\(34\) | 2.75050 | + | 8.46517i | 0.0808971 | + | 0.248976i | ||||
\(35\) | −35.4388 | + | 50.3036i | −1.01254 | + | 1.43724i | ||||
\(36\) | −17.6917 | − | 3.31743i | −0.491435 | − | 0.0921510i | ||||
\(37\) | 61.6178 | − | 20.0208i | 1.66535 | − | 0.541104i | 0.683364 | − | 0.730078i | \(-0.260516\pi\) |
0.981982 | + | 0.188974i | \(0.0605163\pi\) | |||||||
\(38\) | −5.40204 | − | 16.6258i | −0.142159 | − | 0.437520i | ||||
\(39\) | 8.92328 | − | 5.29611i | 0.228802 | − | 0.135798i | ||||
\(40\) | −14.1406 | + | 0.206172i | −0.353516 | + | 0.00515430i | ||||
\(41\) | −68.9685 | + | 22.4092i | −1.68216 | + | 0.546566i | −0.985328 | − | 0.170671i | \(-0.945407\pi\) |
−0.696829 | + | 0.717237i | \(0.745407\pi\) | |||||||
\(42\) | 51.9887 | + | 4.83220i | 1.23783 | + | 0.115052i | ||||
\(43\) | 41.4339i | 0.963580i | 0.876287 | + | 0.481790i | \(0.160013\pi\) | ||||
−0.876287 | + | 0.481790i | \(0.839987\pi\) | |||||||
\(44\) | −0.197930 | − | 0.272427i | −0.00449841 | − | 0.00619153i | ||||
\(45\) | −44.3453 | − | 7.64791i | −0.985452 | − | 0.169954i | ||||
\(46\) | −31.2562 | − | 22.7089i | −0.679482 | − | 0.493672i | ||||
\(47\) | −28.7978 | − | 20.9228i | −0.612719 | − | 0.445167i | 0.237652 | − | 0.971350i | \(-0.423622\pi\) |
−0.850371 | + | 0.526184i | \(0.823622\pi\) | |||||||
\(48\) | 6.12467 | + | 10.3193i | 0.127597 | + | 0.214986i | ||||
\(49\) | −102.454 | −2.09091 | ||||||||
\(50\) | −35.3403 | + | 1.03075i | −0.706806 | + | 0.0206150i | ||||
\(51\) | 12.4643 | − | 14.1827i | 0.244398 | − | 0.278093i | ||||
\(52\) | −6.57915 | − | 2.13770i | −0.126522 | − | 0.0411095i | ||||
\(53\) | 36.8365 | + | 26.7633i | 0.695028 | + | 0.504968i | 0.878309 | − | 0.478093i | \(-0.158672\pi\) |
−0.183281 | + | 0.983061i | \(0.558672\pi\) | |||||||
\(54\) | 13.1030 | + | 35.8652i | 0.242649 | + | 0.664170i | ||||
\(55\) | −0.504701 | − | 0.673782i | −0.00917639 | − | 0.0122506i | ||||
\(56\) | −20.4600 | − | 28.1607i | −0.365356 | − | 0.502870i | ||||
\(57\) | −24.4802 | + | 27.8552i | −0.429477 | + | 0.488688i | ||||
\(58\) | 18.0461 | + | 24.8383i | 0.311139 | + | 0.428247i | ||||
\(59\) | −21.3044 | + | 6.92223i | −0.361092 | + | 0.117326i | −0.483944 | − | 0.875099i | \(-0.660796\pi\) |
0.122852 | + | 0.992425i | \(0.460796\pi\) | |||||||
\(60\) | 15.6862 | + | 25.5723i | 0.261436 | + | 0.426206i | ||||
\(61\) | −14.7526 | + | 45.4038i | −0.241846 | + | 0.744325i | 0.754293 | + | 0.656537i | \(0.227980\pi\) |
−0.996139 | + | 0.0877874i | \(0.972020\pi\) | |||||||
\(62\) | 19.2169 | + | 59.1436i | 0.309951 | + | 0.953930i | ||||
\(63\) | −47.4732 | − | 100.070i | −0.753543 | − | 1.58842i | ||||
\(64\) | 2.47214 | − | 7.60845i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −16.5240 | − | 5.10389i | −0.254216 | − | 0.0785213i | ||||
\(66\) | −0.282667 | + | 0.656024i | −0.00428284 | + | 0.00993975i | ||||
\(67\) | −4.37953 | − | 6.02791i | −0.0653661 | − | 0.0899688i | 0.775082 | − | 0.631860i | \(-0.217708\pi\) |
−0.840448 | + | 0.541892i | \(0.817708\pi\) | |||||||
\(68\) | −12.5876 | −0.185112 | ||||||||
\(69\) | −7.58494 | + | 81.6049i | −0.109927 | + | 1.18268i | ||||
\(70\) | −52.1708 | − | 69.6486i | −0.745297 | − | 0.994980i | ||||
\(71\) | 15.1899 | − | 20.9071i | 0.213943 | − | 0.294467i | −0.688535 | − | 0.725203i | \(-0.741746\pi\) |
0.902478 | + | 0.430736i | \(0.141746\pi\) | |||||||
\(72\) | 12.1935 | − | 22.3455i | 0.169354 | − | 0.310353i | ||||
\(73\) | 124.342 | + | 40.4011i | 1.70331 | + | 0.553440i | 0.989198 | − | 0.146589i | \(-0.0468294\pi\) |
0.714115 | + | 0.700028i | \(0.246829\pi\) | |||||||
\(74\) | 91.6252i | 1.23818i | ||||||||
\(75\) | 40.1433 | + | 63.3523i | 0.535243 | + | 0.844698i | ||||
\(76\) | 24.7224 | 0.325295 | ||||||||
\(77\) | 0.640304 | − | 1.97065i | 0.00831564 | − | 0.0255929i | ||||
\(78\) | 3.22363 | + | 14.3163i | 0.0413286 | + | 0.183542i | ||||
\(79\) | −29.4713 | − | 21.4122i | −0.373055 | − | 0.271040i | 0.385422 | − | 0.922740i | \(-0.374056\pi\) |
−0.758476 | + | 0.651700i | \(0.774056\pi\) | |||||||
\(80\) | 5.90238 | − | 19.1092i | 0.0737798 | − | 0.238865i | ||||
\(81\) | 51.2391 | − | 62.7340i | 0.632582 | − | 0.774493i | ||||
\(82\) | − | 102.556i | − | 1.25068i | ||||||
\(83\) | 117.962 | − | 85.7042i | 1.42123 | − | 1.03258i | 0.429657 | − | 0.902992i | \(-0.358634\pi\) |
0.991568 | − | 0.129588i | \(-0.0413656\pi\) | |||||||
\(84\) | −29.2192 | + | 67.8129i | −0.347848 | + | 0.807297i | ||||
\(85\) | −31.4658 | + | 0.458774i | −0.370185 | + | 0.00539734i | ||||
\(86\) | −55.7285 | − | 18.1073i | −0.648006 | − | 0.210550i | ||||
\(87\) | 25.7719 | − | 59.8124i | 0.296229 | − | 0.687498i | ||||
\(88\) | 0.452912 | − | 0.147160i | 0.00514673 | − | 0.00167227i | ||||
\(89\) | 65.7244 | + | 21.3551i | 0.738476 | + | 0.239945i | 0.654015 | − | 0.756481i | \(-0.273083\pi\) |
0.0844608 | + | 0.996427i | \(0.473083\pi\) | |||||||
\(90\) | 29.6660 | − | 56.3021i | 0.329623 | − | 0.625579i | ||||
\(91\) | −13.1540 | − | 40.4838i | −0.144549 | − | 0.444877i | ||||
\(92\) | 44.2029 | − | 32.1153i | 0.480466 | − | 0.349079i | ||||
\(93\) | 87.0846 | − | 99.0906i | 0.936393 | − | 1.06549i | ||||
\(94\) | 40.7262 | − | 29.5894i | 0.433258 | − | 0.314780i | ||||
\(95\) | 61.7994 | − | 0.901042i | 0.650520 | − | 0.00948465i | ||||
\(96\) | −16.5560 | + | 3.72796i | −0.172459 | + | 0.0388329i | ||||
\(97\) | −83.8167 | + | 115.364i | −0.864090 | + | 1.18932i | 0.116489 | + | 0.993192i | \(0.462836\pi\) |
−0.980579 | + | 0.196126i | \(0.937164\pi\) | |||||||
\(98\) | 44.7742 | − | 137.801i | 0.456880 | − | 1.40613i | ||||
\(99\) | 1.50277 | − | 0.194631i | 0.0151795 | − | 0.00196597i | ||||
\(100\) | 14.0579 | − | 47.9831i | 0.140579 | − | 0.479831i | ||||
\(101\) | 38.9016i | 0.385164i | 0.981281 | + | 0.192582i | \(0.0616861\pi\) | ||||
−0.981281 | + | 0.192582i | \(0.938314\pi\) | |||||||
\(102\) | 13.6286 | + | 22.9626i | 0.133614 | + | 0.225123i | ||||
\(103\) | −29.0574 | + | 39.9941i | −0.282111 | + | 0.388292i | −0.926432 | − | 0.376463i | \(-0.877140\pi\) |
0.644321 | + | 0.764755i | \(0.277140\pi\) | |||||||
\(104\) | 5.75039 | − | 7.91473i | 0.0552922 | − | 0.0761032i | ||||
\(105\) | −70.5687 | + | 170.579i | −0.672083 | + | 1.62456i | ||||
\(106\) | −52.0947 | + | 37.8490i | −0.491459 | + | 0.357066i | ||||
\(107\) | 31.8817 | 0.297960 | 0.148980 | − | 0.988840i | \(-0.452401\pi\) | ||||
0.148980 | + | 0.988840i | \(0.452401\pi\) | |||||||
\(108\) | −53.9648 | + | 1.94989i | −0.499674 | + | 0.0180545i | ||||
\(109\) | 32.8847 | + | 101.209i | 0.301695 | + | 0.928521i | 0.980890 | + | 0.194563i | \(0.0623289\pi\) |
−0.679195 | + | 0.733958i | \(0.737671\pi\) | |||||||
\(110\) | 1.12680 | − | 0.384368i | 0.0102436 | − | 0.00349426i | ||||
\(111\) | 167.144 | − | 99.2026i | 1.50580 | − | 0.893717i | ||||
\(112\) | 46.8174 | − | 15.2119i | 0.418012 | − | 0.135820i | ||||
\(113\) | 56.5948 | + | 174.181i | 0.500839 | + | 1.54142i | 0.807656 | + | 0.589654i | \(0.200736\pi\) |
−0.306817 | + | 0.951768i | \(0.599264\pi\) | |||||||
\(114\) | −26.7669 | − | 45.0990i | −0.234798 | − | 0.395605i | ||||
\(115\) | 109.325 | − | 81.8907i | 0.950652 | − | 0.712093i | ||||
\(116\) | −41.2939 | + | 13.4172i | −0.355982 | + | 0.115665i | ||||
\(117\) | 22.6257 | − | 21.3808i | 0.193382 | − | 0.182742i | ||||
\(118\) | − | 31.6795i | − | 0.268471i | ||||||
\(119\) | −45.5275 | − | 62.6632i | −0.382584 | − | 0.526582i | ||||
\(120\) | −41.2498 | + | 9.92232i | −0.343748 | + | 0.0826860i | ||||
\(121\) | −97.8681 | − | 71.1054i | −0.808827 | − | 0.587648i | ||||
\(122\) | −54.6209 | − | 39.6844i | −0.447712 | − | 0.325282i | ||||
\(123\) | −187.083 | + | 111.037i | −1.52100 | + | 0.902739i | ||||
\(124\) | −87.9461 | −0.709243 | ||||||||
\(125\) | 33.3923 | − | 120.457i | 0.267138 | − | 0.963658i | ||||
\(126\) | 155.341 | − | 20.1189i | 1.23287 | − | 0.159674i | ||||
\(127\) | 41.7846 | + | 13.5766i | 0.329013 | + | 0.106903i | 0.468865 | − | 0.883270i | \(-0.344663\pi\) |
−0.139853 | + | 0.990172i | \(0.544663\pi\) | |||||||
\(128\) | 9.15298 | + | 6.65003i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | 27.3057 | + | 121.266i | 0.211672 | + | 0.940043i | ||||
\(130\) | 14.0860 | − | 19.9943i | 0.108354 | − | 0.153802i | ||||
\(131\) | −81.2357 | − | 111.811i | −0.620120 | − | 0.853522i | 0.377242 | − | 0.926115i | \(-0.376873\pi\) |
−0.997362 | + | 0.0725932i | \(0.976873\pi\) | |||||||
\(132\) | −0.758820 | − | 0.666879i | −0.00574864 | − | 0.00505212i | ||||
\(133\) | 89.4170 | + | 123.072i | 0.672309 | + | 0.925353i | ||||
\(134\) | 10.0214 | − | 3.25616i | 0.0747869 | − | 0.0242997i | ||||
\(135\) | −134.827 | + | 6.84103i | −0.998715 | + | 0.0506743i | ||||
\(136\) | 5.50100 | − | 16.9303i | 0.0404485 | − | 0.124488i | ||||
\(137\) | −2.42349 | − | 7.45874i | −0.0176897 | − | 0.0544434i | 0.941822 | − | 0.336112i | \(-0.109112\pi\) |
−0.959512 | + | 0.281669i | \(0.909112\pi\) | |||||||
\(138\) | −106.444 | − | 45.8644i | −0.771331 | − | 0.332351i | ||||
\(139\) | 43.9353 | − | 135.219i | 0.316081 | − | 0.972798i | −0.659226 | − | 0.751945i | \(-0.729116\pi\) |
0.975307 | − | 0.220853i | \(-0.0708842\pi\) | |||||||
\(140\) | 116.477 | − | 39.7320i | 0.831976 | − | 0.283800i | ||||
\(141\) | −98.0716 | − | 42.2571i | −0.695544 | − | 0.299695i | ||||
\(142\) | 21.4818 | + | 29.5671i | 0.151280 | + | 0.208219i | ||||
\(143\) | 0.582367 | 0.00407249 | ||||||||
\(144\) | 24.7258 | + | 26.1655i | 0.171707 | + | 0.181705i | ||||
\(145\) | −102.735 | + | 35.0444i | −0.708515 | + | 0.241686i | ||||
\(146\) | −108.679 | + | 149.583i | −0.744375 | + | 1.02454i | ||||
\(147\) | −299.855 | + | 67.5192i | −2.03983 | + | 0.459314i | ||||
\(148\) | −123.236 | − | 40.0417i | −0.832673 | − | 0.270552i | ||||
\(149\) | − | 164.327i | − | 1.10287i | −0.834219 | − | 0.551433i | \(-0.814081\pi\) | ||
0.834219 | − | 0.551433i | \(-0.185919\pi\) | |||||||
\(150\) | −102.752 | + | 26.3066i | −0.685013 | + | 0.175377i | ||||
\(151\) | 111.586 | 0.738977 | 0.369489 | − | 0.929235i | \(-0.379533\pi\) | ||||
0.369489 | + | 0.929235i | \(0.379533\pi\) | |||||||
\(152\) | −10.8041 | + | 33.2516i | −0.0710795 | + | 0.218760i | ||||
\(153\) | 27.1329 | − | 49.7231i | 0.177339 | − | 0.324988i | ||||
\(154\) | 2.37070 | + | 1.72241i | 0.0153941 | + | 0.0111845i | ||||
\(155\) | −219.842 | + | 3.20532i | −1.41834 | + | 0.0206795i | ||||
\(156\) | −20.6641 | − | 1.92067i | −0.132462 | − | 0.0123120i | ||||
\(157\) | − | 90.5710i | − | 0.576886i | −0.957497 | − | 0.288443i | \(-0.906862\pi\) | ||
0.957497 | − | 0.288443i | \(-0.0931375\pi\) | |||||||
\(158\) | 41.6787 | − | 30.2814i | 0.263789 | − | 0.191654i | ||||
\(159\) | 125.448 | + | 54.0528i | 0.788979 | + | 0.339955i | ||||
\(160\) | 23.1224 | + | 16.2897i | 0.144515 | + | 0.101811i | ||||
\(161\) | 319.750 | + | 103.893i | 1.98602 | + | 0.645298i | ||||
\(162\) | 61.9847 | + | 96.3322i | 0.382621 | + | 0.594643i | ||||
\(163\) | 191.893 | − | 62.3498i | 1.17726 | − | 0.382514i | 0.345910 | − | 0.938268i | \(-0.387570\pi\) |
0.831347 | + | 0.555754i | \(0.187570\pi\) | |||||||
\(164\) | 137.937 | + | 44.8184i | 0.841079 | + | 0.273283i | ||||
\(165\) | −1.92115 | − | 1.63936i | −0.0116434 | − | 0.00993555i | ||||
\(166\) | 63.7207 | + | 196.112i | 0.383860 | + | 1.18140i | ||||
\(167\) | −37.7399 | + | 27.4196i | −0.225987 | + | 0.164189i | −0.695018 | − | 0.718993i | \(-0.744604\pi\) |
0.469030 | + | 0.883182i | \(0.344604\pi\) | |||||||
\(168\) | −78.4390 | − | 68.9351i | −0.466899 | − | 0.410328i | ||||
\(169\) | −127.045 | + | 92.3036i | −0.751746 | + | 0.546175i | ||||
\(170\) | 13.1340 | − | 42.5218i | 0.0772588 | − | 0.250128i | ||||
\(171\) | −53.2897 | + | 97.6573i | −0.311636 | + | 0.571095i | ||||
\(172\) | 48.7085 | − | 67.0415i | 0.283189 | − | 0.389776i | ||||
\(173\) | −39.8026 | + | 122.500i | −0.230073 | + | 0.708091i | 0.767664 | + | 0.640852i | \(0.221419\pi\) |
−0.997737 | + | 0.0672387i | \(0.978581\pi\) | |||||||
\(174\) | 69.1847 | + | 60.8021i | 0.397613 | + | 0.349437i | ||||
\(175\) | 289.713 | − | 103.565i | 1.65550 | − | 0.591798i | ||||
\(176\) | 0.673477i | 0.00382657i | ||||||||
\(177\) | −57.7903 | + | 34.2994i | −0.326499 | + | 0.193782i | ||||
\(178\) | −57.4452 | + | 79.0665i | −0.322726 | + | 0.444194i | ||||
\(179\) | 48.1237 | − | 66.2365i | 0.268847 | − | 0.370036i | −0.653153 | − | 0.757226i | \(-0.726554\pi\) |
0.922000 | + | 0.387190i | \(0.126554\pi\) | |||||||
\(180\) | 62.7616 | + | 64.5057i | 0.348676 | + | 0.358365i | ||||
\(181\) | −230.363 | + | 167.368i | −1.27272 | + | 0.924687i | −0.999307 | − | 0.0372096i | \(-0.988153\pi\) |
−0.273415 | + | 0.961896i | \(0.588153\pi\) | |||||||
\(182\) | 60.1990 | 0.330764 | ||||||||
\(183\) | −13.2549 | + | 142.607i | −0.0724309 | + | 0.779271i | ||||
\(184\) | 23.8776 | + | 73.4876i | 0.129769 | + | 0.399389i | ||||
\(185\) | −309.516 | − | 95.6021i | −1.67306 | − | 0.516768i | ||||
\(186\) | 95.2193 | + | 160.433i | 0.511932 | + | 0.862541i | ||||
\(187\) | 1.00782 | − | 0.327461i | 0.00538942 | − | 0.00175113i | ||||
\(188\) | 21.9996 | + | 67.7077i | 0.117019 | + | 0.360147i | ||||
\(189\) | −204.889 | − | 261.593i | −1.08407 | − | 1.38409i | ||||
\(190\) | −25.7954 | + | 83.5138i | −0.135765 | + | 0.439546i | ||||
\(191\) | 297.855 | − | 96.7790i | 1.55945 | − | 0.506696i | 0.602790 | − | 0.797900i | \(-0.294056\pi\) |
0.956661 | + | 0.291204i | \(0.0940558\pi\) | |||||||
\(192\) | 2.22116 | − | 23.8970i | 0.0115685 | − | 0.124464i | ||||
\(193\) | − | 53.3539i | − | 0.276445i | −0.990401 | − | 0.138222i | \(-0.955861\pi\) | ||
0.990401 | − | 0.138222i | \(-0.0441389\pi\) | |||||||
\(194\) | −118.535 | − | 163.149i | −0.611004 | − | 0.840975i | ||||
\(195\) | −51.7248 | − | 4.04803i | −0.265255 | − | 0.0207591i | ||||
\(196\) | 165.775 | + | 120.442i | 0.845789 | + | 0.614502i | ||||
\(197\) | −143.005 | − | 103.899i | −0.725915 | − | 0.527408i | 0.162353 | − | 0.986733i | \(-0.448092\pi\) |
−0.888269 | + | 0.459324i | \(0.848092\pi\) | |||||||
\(198\) | −0.394957 | + | 2.10628i | −0.00199473 | + | 0.0106378i | ||||
\(199\) | −128.527 | −0.645864 | −0.322932 | − | 0.946422i | \(-0.604668\pi\) | ||||
−0.322932 | + | 0.946422i | \(0.604668\pi\) | |||||||
\(200\) | 58.3935 | + | 39.8772i | 0.291968 | + | 0.199386i | ||||
\(201\) | −16.7902 | − | 14.7558i | −0.0835331 | − | 0.0734120i | ||||
\(202\) | −52.3225 | − | 17.0006i | −0.259022 | − | 0.0841614i | ||||
\(203\) | −216.146 | − | 157.039i | −1.06476 | − | 0.773594i | ||||
\(204\) | −36.8405 | + | 8.29546i | −0.180591 | + | 0.0406640i | ||||
\(205\) | 346.439 | + | 107.007i | 1.68995 | + | 0.521985i | ||||
\(206\) | −41.0934 | − | 56.5601i | −0.199482 | − | 0.274564i | ||||
\(207\) | 31.5800 | + | 243.833i | 0.152560 | + | 1.17794i | ||||
\(208\) | 8.13228 | + | 11.1931i | 0.0390975 | + | 0.0538131i | ||||
\(209\) | −1.97938 | + | 0.643140i | −0.00947073 | + | 0.00307723i | ||||
\(210\) | −198.589 | − | 169.461i | −0.945662 | − | 0.806955i | ||||
\(211\) | −74.8193 | + | 230.270i | −0.354594 | + | 1.09133i | 0.601650 | + | 0.798760i | \(0.294510\pi\) |
−0.956244 | + | 0.292569i | \(0.905490\pi\) | |||||||
\(212\) | −28.1406 | − | 86.6078i | −0.132739 | − | 0.408527i | ||||
\(213\) | 30.6785 | − | 71.1997i | 0.144031 | − | 0.334271i | ||||
\(214\) | −13.9328 | + | 42.8808i | −0.0651066 | + | 0.200378i | ||||
\(215\) | 119.315 | − | 169.361i | 0.554953 | − | 0.787727i | ||||
\(216\) | 20.9609 | − | 73.4346i | 0.0970411 | − | 0.339975i | ||||
\(217\) | −318.087 | − | 437.810i | −1.46584 | − | 2.01756i | ||||
\(218\) | −150.497 | −0.690351 | ||||||||
\(219\) | 390.539 | + | 36.2994i | 1.78328 | + | 0.165751i | ||||
\(220\) | 0.0245458 | + | 1.68351i | 0.000111572 | + | 0.00765234i | ||||
\(221\) | 12.7958 | − | 17.6119i | 0.0578994 | − | 0.0796917i | ||||
\(222\) | 60.3825 | + | 268.161i | 0.271993 | + | 1.20793i | ||||
\(223\) | −212.340 | − | 68.9935i | −0.952198 | − | 0.309388i | −0.208589 | − | 0.978003i | \(-0.566887\pi\) |
−0.743608 | + | 0.668616i | \(0.766887\pi\) | |||||||
\(224\) | 69.6171i | 0.310791i | ||||||||
\(225\) | 159.238 | + | 158.960i | 0.707726 | + | 0.706487i | ||||
\(226\) | −259.005 | −1.14604 | ||||||||
\(227\) | −95.7230 | + | 294.605i | −0.421687 | + | 1.29782i | 0.484443 | + | 0.874823i | \(0.339022\pi\) |
−0.906131 | + | 0.422998i | \(0.860978\pi\) | |||||||
\(228\) | 72.3556 | − | 16.2925i | 0.317349 | − | 0.0714582i | ||||
\(229\) | 40.9723 | + | 29.7681i | 0.178918 | + | 0.129992i | 0.673640 | − | 0.739060i | \(-0.264730\pi\) |
−0.494721 | + | 0.869052i | \(0.664730\pi\) | |||||||
\(230\) | 62.3660 | + | 182.829i | 0.271156 | + | 0.794910i | ||||
\(231\) | 0.575298 | − | 6.18952i | 0.00249047 | − | 0.0267945i | ||||
\(232\) | − | 61.4037i | − | 0.264671i | ||||||
\(233\) | −190.932 | + | 138.720i | −0.819449 | + | 0.595364i | −0.916555 | − | 0.399910i | \(-0.869041\pi\) |
0.0971058 | + | 0.995274i | \(0.469041\pi\) | |||||||
\(234\) | 18.8693 | + | 39.7753i | 0.0806382 | + | 0.169980i | ||||
\(235\) | 57.4608 | + | 168.449i | 0.244514 | + | 0.716806i | ||||
\(236\) | 42.6089 | + | 13.8445i | 0.180546 | + | 0.0586630i | ||||
\(237\) | −100.365 | − | 43.2453i | −0.423482 | − | 0.182470i | ||||
\(238\) | 104.178 | − | 33.8495i | 0.437723 | − | 0.142225i | ||||
\(239\) | −138.660 | − | 45.0532i | −0.580166 | − | 0.188507i | 0.00420922 | − | 0.999991i | \(-0.498660\pi\) |
−0.584375 | + | 0.811484i | \(0.698660\pi\) | |||||||
\(240\) | 4.68134 | − | 59.8171i | 0.0195056 | − | 0.249238i | ||||
\(241\) | 57.2582 | + | 176.223i | 0.237586 | + | 0.731214i | 0.996768 | + | 0.0803357i | \(0.0255992\pi\) |
−0.759182 | + | 0.650878i | \(0.774401\pi\) | |||||||
\(242\) | 138.406 | − | 100.558i | 0.571927 | − | 0.415530i | ||||
\(243\) | 108.620 | − | 217.372i | 0.446996 | − | 0.894536i | ||||
\(244\) | 77.2456 | − | 56.1222i | 0.316580 | − | 0.230009i | ||||
\(245\) | 418.782 | + | 295.032i | 1.70932 | + | 1.20421i | ||||
\(246\) | −67.5858 | − | 300.152i | −0.274739 | − | 1.22013i | ||||
\(247\) | −25.1312 | + | 34.5901i | −0.101746 | + | 0.140041i | ||||
\(248\) | 38.4339 | − | 118.287i | 0.154975 | − | 0.476965i | ||||
\(249\) | 288.760 | − | 328.571i | 1.15968 | − | 1.31956i | ||||
\(250\) | 147.422 | + | 97.5543i | 0.589687 | + | 0.390217i | ||||
\(251\) | 75.8075i | 0.302022i | 0.988532 | + | 0.151011i | \(0.0482529\pi\) | ||||
−0.988532 | + | 0.151011i | \(0.951747\pi\) | |||||||
\(252\) | −40.8266 | + | 217.726i | −0.162010 | + | 0.863990i | ||||
\(253\) | −2.70361 | + | 3.72120i | −0.0106862 | + | 0.0147083i | ||||
\(254\) | −36.5211 | + | 50.2670i | −0.143784 | + | 0.197901i | ||||
\(255\) | −91.7891 | + | 22.0792i | −0.359957 | + | 0.0865849i | ||||
\(256\) | −12.9443 | + | 9.40456i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 231.487 | 0.900726 | 0.450363 | − | 0.892845i | \(-0.351295\pi\) | ||||
0.450363 | + | 0.892845i | \(0.351295\pi\) | |||||||
\(258\) | −175.035 | − | 16.2690i | −0.678430 | − | 0.0630580i | ||||
\(259\) | −246.390 | − | 758.311i | −0.951313 | − | 2.92784i | ||||
\(260\) | 20.7365 | + | 27.6834i | 0.0797557 | + | 0.106475i | ||||
\(261\) | 36.0099 | − | 192.038i | 0.137969 | − | 0.735779i | ||||
\(262\) | 185.887 | − | 60.3984i | 0.709493 | − | 0.230528i | ||||
\(263\) | −14.5008 | − | 44.6289i | −0.0551362 | − | 0.169692i | 0.919696 | − | 0.392631i | \(-0.128435\pi\) |
−0.974832 | + | 0.222939i | \(0.928435\pi\) | |||||||
\(264\) | 1.22857 | − | 0.729174i | 0.00465366 | − | 0.00276202i | ||||
\(265\) | −73.5005 | − | 215.471i | −0.277361 | − | 0.813098i | ||||
\(266\) | −204.608 | + | 66.4812i | −0.769204 | + | 0.249929i | ||||
\(267\) | 206.430 | + | 19.1871i | 0.773147 | + | 0.0718617i | ||||
\(268\) | 14.9018i | 0.0556038i | ||||||||
\(269\) | −59.2624 | − | 81.5677i | −0.220306 | − | 0.303226i | 0.684530 | − | 0.728984i | \(-0.260007\pi\) |
−0.904837 | + | 0.425759i | \(0.860007\pi\) | |||||||
\(270\) | 49.7202 | − | 184.331i | 0.184149 | − | 0.682707i | ||||
\(271\) | −350.828 | − | 254.891i | −1.29457 | − | 0.940558i | −0.294680 | − | 0.955596i | \(-0.595213\pi\) |
−0.999887 | + | 0.0150377i | \(0.995213\pi\) | |||||||
\(272\) | 20.3672 | + | 14.7977i | 0.0748795 | + | 0.0544031i | ||||
\(273\) | −65.1775 | − | 109.816i | −0.238745 | − | 0.402256i | ||||
\(274\) | 11.0911 | 0.0404784 | ||||||||
\(275\) | 0.122716 | + | 4.20744i | 0.000446240 | + | 0.0152998i | ||||
\(276\) | 108.205 | − | 123.123i | 0.392047 | − | 0.446098i | ||||
\(277\) | 200.495 | + | 65.1448i | 0.723809 | + | 0.235180i | 0.647674 | − | 0.761918i | \(-0.275742\pi\) |
0.0761353 | + | 0.997097i | \(0.475742\pi\) | |||||||
\(278\) | 162.669 | + | 118.186i | 0.585139 | + | 0.425128i | ||||
\(279\) | 189.570 | − | 347.401i | 0.679462 | − | 1.24516i | ||||
\(280\) | 2.53729 | + | 174.024i | 0.00906175 | + | 0.621515i | ||||
\(281\) | −114.321 | − | 157.349i | −0.406836 | − | 0.559962i | 0.555607 | − | 0.831445i | \(-0.312486\pi\) |
−0.962443 | + | 0.271483i | \(0.912486\pi\) | |||||||
\(282\) | 99.6945 | − | 113.439i | 0.353527 | − | 0.402266i | ||||
\(283\) | −255.556 | − | 351.743i | −0.903026 | − | 1.24291i | −0.969493 | − | 0.245120i | \(-0.921173\pi\) |
0.0664670 | − | 0.997789i | \(-0.478827\pi\) | |||||||
\(284\) | −49.1556 | + | 15.9716i | −0.173083 | + | 0.0562381i | ||||
\(285\) | 180.276 | − | 43.3640i | 0.632547 | − | 0.152154i | ||||
\(286\) | −0.254504 | + | 0.783281i | −0.000889873 | + | 0.00273875i | ||||
\(287\) | 275.783 | + | 848.773i | 0.960916 | + | 2.95740i | ||||
\(288\) | −45.9981 | + | 21.8214i | −0.159716 | + | 0.0757688i | ||||
\(289\) | −77.0651 | + | 237.182i | −0.266661 | + | 0.820699i | ||||
\(290\) | −2.23794 | − | 153.493i | −0.00771704 | − | 0.529286i | ||||
\(291\) | −169.282 | + | 392.874i | −0.581723 | + | 1.35008i | ||||
\(292\) | −153.695 | − | 211.543i | −0.526353 | − | 0.724462i | ||||
\(293\) | −327.485 | −1.11770 | −0.558849 | − | 0.829270i | \(-0.688757\pi\) | ||||
−0.558849 | + | 0.829270i | \(0.688757\pi\) | |||||||
\(294\) | 40.2286 | − | 432.812i | 0.136832 | − | 1.47215i | ||||
\(295\) | 107.015 | + | 33.0546i | 0.362764 | + | 0.112049i | ||||
\(296\) | 107.712 | − | 148.253i | 0.363891 | − | 0.500854i | ||||
\(297\) | 4.26993 | − | 1.55998i | 0.0143769 | − | 0.00525247i | ||||
\(298\) | 221.020 | + | 71.8136i | 0.741676 | + | 0.240985i | ||||
\(299\) | 94.4924i | 0.316028i | ||||||||
\(300\) | 9.52199 | − | 149.697i | 0.0317400 | − | 0.498992i | ||||
\(301\) | 509.914 | 1.69407 | ||||||||
\(302\) | −48.7647 | + | 150.082i | −0.161472 | + | 0.496961i | ||||
\(303\) | 25.6368 | + | 113.854i | 0.0846098 | + | 0.375756i | ||||
\(304\) | −40.0017 | − | 29.0629i | −0.131584 | − | 0.0956017i | ||||
\(305\) | 191.048 | − | 143.106i | 0.626387 | − | 0.469200i | ||||
\(306\) | 55.0199 | + | 58.2235i | 0.179804 | + | 0.190273i | ||||
\(307\) | − | 171.592i | − | 0.558932i | −0.960156 | − | 0.279466i | \(-0.909843\pi\) | ||
0.960156 | − | 0.279466i | \(-0.0901574\pi\) | |||||||
\(308\) | −3.35267 | + | 2.43586i | −0.0108853 | + | 0.00790864i | ||||
\(309\) | −58.6861 | + | 136.201i | −0.189923 | + | 0.440779i | ||||
\(310\) | 91.7633 | − | 297.088i | 0.296011 | − | 0.958347i | ||||
\(311\) | −16.2871 | − | 5.29200i | −0.0523701 | − | 0.0170161i | 0.282715 | − | 0.959204i | \(-0.408765\pi\) |
−0.335085 | + | 0.942188i | \(0.608765\pi\) | |||||||
\(312\) | 11.6138 | − | 26.9538i | 0.0372239 | − | 0.0863905i | ||||
\(313\) | 81.0937 | − | 26.3489i | 0.259085 | − | 0.0841819i | −0.176594 | − | 0.984284i | \(-0.556508\pi\) |
0.435680 | + | 0.900102i | \(0.356508\pi\) | |||||||
\(314\) | 121.818 | + | 39.5810i | 0.387955 | + | 0.126054i | ||||
\(315\) | −94.1204 | + | 545.744i | −0.298795 | + | 1.73252i | ||||
\(316\) | 22.5141 | + | 69.2912i | 0.0712471 | + | 0.219276i | ||||
\(317\) | 310.457 | − | 225.560i | 0.979359 | − | 0.711546i | 0.0217940 | − | 0.999762i | \(-0.493062\pi\) |
0.957565 | + | 0.288216i | \(0.0930622\pi\) | |||||||
\(318\) | −127.524 | + | 145.105i | −0.401017 | + | 0.456304i | ||||
\(319\) | 2.95713 | − | 2.14848i | 0.00926999 | − | 0.00673504i | ||||
\(320\) | −32.0145 | + | 23.9807i | −0.100045 | + | 0.0749396i | ||||
\(321\) | 93.3088 | − | 21.0106i | 0.290682 | − | 0.0654535i | ||||
\(322\) | −279.472 | + | 384.660i | −0.867924 | + | 1.19460i | ||||
\(323\) | −24.0413 | + | 73.9914i | −0.0744312 | + | 0.229076i | ||||
\(324\) | −156.655 | + | 41.2705i | −0.483503 | + | 0.127378i | ||||
\(325\) | 52.8447 | + | 68.4455i | 0.162599 | + | 0.210601i | ||||
\(326\) | 285.343i | 0.875286i | ||||||||
\(327\) | 162.943 | + | 274.538i | 0.498296 | + | 0.839566i | ||||
\(328\) | −120.561 | + | 165.938i | −0.367565 | + | 0.505910i | ||||
\(329\) | −257.491 | + | 354.405i | −0.782646 | + | 1.07722i | ||||
\(330\) | 3.04452 | − | 1.86752i | 0.00922581 | − | 0.00565914i | ||||
\(331\) | −271.197 | + | 197.036i | −0.819327 | + | 0.595276i | −0.916520 | − | 0.399989i | \(-0.869014\pi\) |
0.0971923 | + | 0.995266i | \(0.469014\pi\) | |||||||
\(332\) | −291.617 | −0.878365 | ||||||||
\(333\) | 423.808 | − | 400.489i | 1.27270 | − | 1.20267i | ||||
\(334\) | −20.3864 | − | 62.7429i | −0.0610371 | − | 0.187853i | ||||
\(335\) | 0.543117 | + | 37.2506i | 0.00162124 | + | 0.111196i | ||||
\(336\) | 126.997 | − | 75.3744i | 0.377966 | − | 0.224329i | ||||
\(337\) | −306.928 | + | 99.7271i | −0.910767 | + | 0.295926i | −0.726674 | − | 0.686983i | \(-0.758935\pi\) |
−0.184093 | + | 0.982909i | \(0.558935\pi\) | |||||||
\(338\) | −68.6274 | − | 211.213i | −0.203040 | − | 0.624891i | ||||
\(339\) | 280.425 | + | 472.482i | 0.827213 | + | 1.39375i | ||||
\(340\) | 51.4520 | + | 36.2479i | 0.151329 | + | 0.106611i | ||||
\(341\) | 7.04135 | − | 2.28787i | 0.0206491 | − | 0.00670931i | ||||
\(342\) | −108.060 | − | 114.352i | −0.315966 | − | 0.334363i | ||||
\(343\) | 657.846i | 1.91792i | ||||||||
\(344\) | 68.8842 | + | 94.8110i | 0.200245 | + | 0.275613i | ||||
\(345\) | 265.996 | − | 311.718i | 0.771004 | − | 0.903531i | ||||
\(346\) | −147.367 | − | 107.069i | −0.425917 | − | 0.309447i | ||||
\(347\) | −394.723 | − | 286.783i | −1.13753 | − | 0.826464i | −0.150757 | − | 0.988571i | \(-0.548171\pi\) |
−0.986773 | + | 0.162107i | \(0.948171\pi\) | |||||||
\(348\) | −112.013 | + | 66.4817i | −0.321878 | + | 0.191039i | ||||
\(349\) | 174.366 | 0.499615 | 0.249808 | − | 0.968296i | \(-0.419633\pi\) | ||||
0.249808 | + | 0.968296i | \(0.419633\pi\) | |||||||
\(350\) | 12.6851 | + | 434.922i | 0.0362432 | + | 1.24263i | ||||
\(351\) | 52.1289 | − | 77.4864i | 0.148515 | − | 0.220759i | ||||
\(352\) | −0.905825 | − | 0.294320i | −0.00257337 | − | 0.000836137i | ||||
\(353\) | 46.9432 | + | 34.1063i | 0.132984 | + | 0.0966183i | 0.652289 | − | 0.757971i | \(-0.273809\pi\) |
−0.519305 | + | 0.854589i | \(0.673809\pi\) | |||||||
\(354\) | −20.8773 | − | 92.7172i | −0.0589756 | − | 0.261913i | ||||
\(355\) | −122.294 | + | 41.7164i | −0.344490 | + | 0.117511i | ||||
\(356\) | −81.2398 | − | 111.817i | −0.228202 | − | 0.314093i | ||||
\(357\) | −174.542 | − | 153.394i | −0.488914 | − | 0.429676i | ||||
\(358\) | 68.0571 | + | 93.6726i | 0.190104 | + | 0.261655i | ||||
\(359\) | −294.746 | + | 95.7687i | −0.821019 | + | 0.266765i | −0.689258 | − | 0.724516i | \(-0.742063\pi\) |
−0.131761 | + | 0.991281i | \(0.542063\pi\) | |||||||
\(360\) | −114.188 | + | 56.2242i | −0.317188 | + | 0.156178i | ||||
\(361\) | −64.3376 | + | 198.011i | −0.178220 | + | 0.548506i | ||||
\(362\) | −124.438 | − | 382.980i | −0.343750 | − | 1.05796i | ||||
\(363\) | −333.292 | − | 143.609i | −0.918161 | − | 0.395617i | ||||
\(364\) | −26.3079 | + | 80.9675i | −0.0722746 | + | 0.222438i | ||||
\(365\) | −391.906 | − | 523.199i | −1.07372 | − | 1.43342i | ||||
\(366\) | −186.013 | − | 80.1491i | −0.508232 | − | 0.218987i | ||||
\(367\) | −142.483 | − | 196.111i | −0.388237 | − | 0.534363i | 0.569506 | − | 0.821987i | \(-0.307135\pi\) |
−0.957743 | + | 0.287624i | \(0.907135\pi\) | |||||||
\(368\) | −109.276 | −0.296944 | ||||||||
\(369\) | −474.366 | + | 448.265i | −1.28554 | + | 1.21481i | ||||
\(370\) | 263.848 | − | 374.518i | 0.713102 | − | 1.01221i | ||||
\(371\) | 329.367 | − | 453.335i | 0.887782 | − | 1.22193i | ||||
\(372\) | −257.394 | + | 57.9580i | −0.691919 | + | 0.155801i | ||||
\(373\) | 489.371 | + | 159.006i | 1.31199 | + | 0.426290i | 0.879735 | − | 0.475464i | \(-0.157720\pi\) |
0.432250 | + | 0.901754i | \(0.357720\pi\) | |||||||
\(374\) | 1.49862i | 0.00400701i | ||||||||
\(375\) | 18.3465 | − | 374.551i | 0.0489240 | − | 0.998803i | ||||
\(376\) | −100.681 | −0.267768 | ||||||||
\(377\) | 23.2041 | − | 71.4150i | 0.0615494 | − | 0.189430i | ||||
\(378\) | 441.381 | − | 161.255i | 1.16768 | − | 0.426600i | ||||
\(379\) | 231.798 | + | 168.411i | 0.611603 | + | 0.444356i | 0.849978 | − | 0.526818i | \(-0.176615\pi\) |
−0.238375 | + | 0.971173i | \(0.576615\pi\) | |||||||
\(380\) | −101.053 | − | 71.1917i | −0.265928 | − | 0.187347i | ||||
\(381\) | 131.239 | + | 12.1983i | 0.344460 | + | 0.0320165i | ||||
\(382\) | 442.908i | 1.15945i | ||||||||
\(383\) | −214.155 | + | 155.592i | −0.559150 | + | 0.406247i | −0.831148 | − | 0.556051i | \(-0.812316\pi\) |
0.271997 | + | 0.962298i | \(0.412316\pi\) | |||||||
\(384\) | 31.1707 | + | 13.4308i | 0.0811737 | + | 0.0349761i | ||||
\(385\) | −8.29202 | + | 6.21120i | −0.0215377 | + | 0.0161330i | ||||
\(386\) | 71.7608 | + | 23.3165i | 0.185909 | + | 0.0604054i | ||||
\(387\) | 159.832 | + | 336.916i | 0.413003 | + | 0.870583i | ||||
\(388\) | 271.237 | − | 88.1301i | 0.699064 | − | 0.227140i | ||||
\(389\) | −464.344 | − | 150.875i | −1.19369 | − | 0.387852i | −0.356252 | − | 0.934390i | \(-0.615946\pi\) |
−0.837435 | + | 0.546537i | \(0.815946\pi\) | |||||||
\(390\) | 28.0492 | − | 67.8007i | 0.0719209 | − | 0.173848i | ||||
\(391\) | 53.1324 | + | 163.525i | 0.135889 | + | 0.418222i | ||||
\(392\) | −234.441 | + | 170.331i | −0.598063 | + | 0.434518i | ||||
\(393\) | −311.440 | − | 273.705i | −0.792467 | − | 0.696450i | ||||
\(394\) | 202.240 | − | 146.936i | 0.513300 | − | 0.372934i | ||||
\(395\) | 58.8046 | + | 172.389i | 0.148873 | + | 0.436428i | ||||
\(396\) | −2.66034 | − | 1.45169i | −0.00671803 | − | 0.00366590i | ||||
\(397\) | 145.500 | − | 200.263i | 0.366498 | − | 0.504441i | −0.585447 | − | 0.810711i | \(-0.699081\pi\) |
0.951945 | + | 0.306270i | \(0.0990809\pi\) | |||||||
\(398\) | 56.1683 | − | 172.868i | 0.141126 | − | 0.434342i | ||||
\(399\) | 342.805 | + | 301.270i | 0.859161 | + | 0.755063i | ||||
\(400\) | −79.1537 | + | 61.1121i | −0.197884 | + | 0.152780i | ||||
\(401\) | 630.806i | 1.57308i | 0.617538 | + | 0.786541i | \(0.288130\pi\) | ||||
−0.617538 | + | 0.786541i | \(0.711870\pi\) | |||||||
\(402\) | 27.1841 | − | 16.1342i | 0.0676221 | − | 0.0401348i | ||||
\(403\) | 89.4003 | − | 123.049i | 0.221837 | − | 0.305333i | ||||
\(404\) | 45.7315 | − | 62.9440i | 0.113197 | − | 0.155802i | ||||
\(405\) | −390.091 | + | 108.875i | −0.963189 | + | 0.268827i | ||||
\(406\) | 305.677 | − | 222.087i | 0.752899 | − | 0.547013i | ||||
\(407\) | 10.9084 | 0.0268021 | ||||||||
\(408\) | 4.94252 | − | 53.1756i | 0.0121140 | − | 0.130332i | ||||
\(409\) | −16.6027 | − | 51.0979i | −0.0405935 | − | 0.124934i | 0.928706 | − | 0.370817i | \(-0.120922\pi\) |
−0.969300 | + | 0.245883i | \(0.920922\pi\) | |||||||
\(410\) | −295.323 | + | 419.196i | −0.720301 | + | 1.02243i | ||||
\(411\) | −12.0083 | − | 20.2325i | −0.0292173 | − | 0.0492276i | ||||
\(412\) | 94.0317 | − | 30.5527i | 0.228232 | − | 0.0741571i | ||||
\(413\) | 85.1897 | + | 262.187i | 0.206271 | + | 0.634835i | ||||
\(414\) | −341.756 | − | 64.0841i | −0.825498 | − | 0.154793i | ||||
\(415\) | −728.966 | + | 10.6284i | −1.75654 | + | 0.0256106i | ||||
\(416\) | −18.6087 | + | 6.04632i | −0.0447323 | + | 0.0145344i | ||||
\(417\) | 39.4748 | − | 424.702i | 0.0946639 | − | 1.01847i | ||||
\(418\) | − | 2.94333i | − | 0.00704145i | ||||||
\(419\) | 316.102 | + | 435.077i | 0.754420 | + | 1.03837i | 0.997658 | + | 0.0684034i | \(0.0217905\pi\) |
−0.243238 | + | 0.969967i | \(0.578210\pi\) | |||||||
\(420\) | 314.711 | − | 193.045i | 0.749311 | − | 0.459630i | ||||
\(421\) | 6.02709 | + | 4.37894i | 0.0143161 | + | 0.0104013i | 0.594920 | − | 0.803785i | \(-0.297184\pi\) |
−0.580604 | + | 0.814186i | \(0.697184\pi\) | |||||||
\(422\) | −277.016 | − | 201.264i | −0.656435 | − | 0.476928i | ||||
\(423\) | −314.876 | − | 59.0438i | −0.744389 | − | 0.139583i | ||||
\(424\) | 128.785 | 0.303739 | ||||||||
\(425\) | 129.937 | + | 88.7349i | 0.305735 | + | 0.208788i | ||||
\(426\) | 82.3564 | + | 72.3779i | 0.193325 | + | 0.169901i | ||||
\(427\) | 558.770 | + | 181.555i | 1.30860 | + | 0.425188i | ||||
\(428\) | −51.5857 | − | 37.4792i | −0.120527 | − | 0.0875682i | ||||
\(429\) | 1.70442 | − | 0.383789i | 0.00397302 | − | 0.000894614i | ||||
\(430\) | 175.648 | + | 234.492i | 0.408483 | + | 0.545330i | ||||
\(431\) | 155.107 | + | 213.487i | 0.359878 | + | 0.495329i | 0.950115 | − | 0.311901i | \(-0.100966\pi\) |
−0.590237 | + | 0.807230i | \(0.700966\pi\) | |||||||
\(432\) | 89.6091 | + | 60.2844i | 0.207428 | + | 0.139547i | ||||
\(433\) | −91.5103 | − | 125.953i | −0.211340 | − | 0.290885i | 0.690166 | − | 0.723651i | \(-0.257538\pi\) |
−0.901506 | + | 0.432766i | \(0.857538\pi\) | |||||||
\(434\) | 727.862 | − | 236.497i | 1.67710 | − | 0.544923i | ||||
\(435\) | −277.581 | + | 170.269i | −0.638117 | + | 0.391423i | ||||
\(436\) | 65.7694 | − | 202.417i | 0.150847 | − | 0.464260i | ||||
\(437\) | −104.353 | − | 321.166i | −0.238795 | − | 0.734934i | ||||
\(438\) | −219.494 | + | 509.410i | −0.501129 | + | 1.16304i | ||||
\(439\) | −118.865 | + | 365.829i | −0.270763 | + | 0.833323i | 0.719546 | + | 0.694444i | \(0.244350\pi\) |
−0.990309 | + | 0.138879i | \(0.955650\pi\) | |||||||
\(440\) | −2.27505 | − | 0.702709i | −0.00517056 | − | 0.00159706i | ||||
\(441\) | −833.097 | + | 395.219i | −1.88911 | + | 0.896189i | ||||
\(442\) | 18.0960 | + | 24.9070i | 0.0409411 | + | 0.0563506i | ||||
\(443\) | 852.035 | 1.92333 | 0.961664 | − | 0.274229i | \(-0.0884227\pi\) | ||||
0.961664 | + | 0.274229i | \(0.0884227\pi\) | |||||||
\(444\) | −387.064 | − | 35.9765i | −0.871767 | − | 0.0810281i | ||||
\(445\) | −207.153 | − | 276.552i | −0.465513 | − | 0.621465i | ||||
\(446\) | 185.592 | − | 255.445i | 0.416126 | − | 0.572748i | ||||
\(447\) | −108.294 | − | 480.940i | −0.242269 | − | 1.07593i | ||||
\(448\) | −93.6348 | − | 30.4238i | −0.209006 | − | 0.0679102i | ||||
\(449\) | − | 285.957i | − | 0.636875i | −0.947944 | − | 0.318438i | \(-0.896842\pi\) | ||
0.947944 | − | 0.318438i | \(-0.103158\pi\) | |||||||
\(450\) | −283.390 | + | 144.707i | −0.629755 | + | 0.321572i | ||||
\(451\) | −12.2098 | −0.0270726 | ||||||||
\(452\) | 113.190 | − | 348.362i | 0.250419 | − | 0.770711i | ||||
\(453\) | 326.580 | − | 73.5367i | 0.720927 | − | 0.162333i | ||||
\(454\) | −354.411 | − | 257.494i | −0.780640 | − | 0.567168i | ||||
\(455\) | −62.8119 | + | 203.356i | −0.138048 | + | 0.446937i | ||||
\(456\) | −9.70721 | + | 104.438i | −0.0212878 | + | 0.229031i | ||||
\(457\) | 439.852i | 0.962478i | 0.876589 | + | 0.481239i | \(0.159813\pi\) | ||||
−0.876589 | + | 0.481239i | \(0.840187\pi\) | |||||||
\(458\) | −57.9436 | + | 42.0985i | −0.126514 | + | 0.0919181i | ||||
\(459\) | 46.6422 | − | 163.407i | 0.101617 | − | 0.356006i | ||||
\(460\) | −273.160 | + | 3.98270i | −0.593826 | + | 0.00865804i | ||||
\(461\) | −376.113 | − | 122.207i | −0.815864 | − | 0.265090i | −0.128784 | − | 0.991673i | \(-0.541108\pi\) |
−0.687079 | + | 0.726582i | \(0.741108\pi\) | |||||||
\(462\) | 8.07347 | + | 3.47869i | 0.0174751 | + | 0.00752964i | ||||
\(463\) | −283.309 | + | 92.0526i | −0.611898 | + | 0.198818i | −0.598540 | − | 0.801093i | \(-0.704252\pi\) |
−0.0133582 | + | 0.999911i | \(0.504252\pi\) | |||||||
\(464\) | 82.5877 | + | 26.8344i | 0.177991 | + | 0.0578327i | ||||
\(465\) | −641.304 | + | 154.261i | −1.37915 | + | 0.331743i | ||||
\(466\) | −103.138 | − | 317.425i | −0.221326 | − | 0.681170i | ||||
\(467\) | 686.511 | − | 498.779i | 1.47004 | − | 1.06805i | 0.489444 | − | 0.872035i | \(-0.337200\pi\) |
0.980601 | − | 0.196015i | \(-0.0628002\pi\) | |||||||
\(468\) | −61.7439 | + | 7.99674i | −0.131931 | + | 0.0170870i | ||||
\(469\) | −74.1835 | + | 53.8975i | −0.158174 | + | 0.114920i | ||||
\(470\) | −251.675 | + | 3.66945i | −0.535479 | + | 0.00780734i | ||||
\(471\) | −59.6878 | − | 265.076i | −0.126726 | − | 0.562794i | ||||
\(472\) | −37.2415 | + | 51.2586i | −0.0789016 | + | 0.108599i | ||||
\(473\) | −2.15576 | + | 6.63476i | −0.00455764 | + | 0.0140270i | ||||
\(474\) | 102.026 | − | 116.092i | 0.215245 | − | 0.244920i | ||||
\(475\) | −255.200 | − | 174.277i | −0.537263 | − | 0.366899i | ||||
\(476\) | 154.912i | 0.325445i | ||||||||
\(477\) | 402.772 | + | 75.5254i | 0.844386 | + | 0.158334i | ||||
\(478\) | 121.193 | − | 166.808i | 0.253542 | − | 0.348970i | ||||
\(479\) | −61.3440 | + | 84.4327i | −0.128067 | + | 0.176269i | −0.868235 | − | 0.496153i | \(-0.834746\pi\) |
0.740169 | + | 0.672421i | \(0.234746\pi\) | |||||||
\(480\) | 78.4080 | + | 32.4374i | 0.163350 | + | 0.0675780i | ||||
\(481\) | 181.297 | − | 131.720i | 0.376917 | − | 0.273846i | ||||
\(482\) | −262.042 | −0.543655 | ||||||||
\(483\) | 1004.29 | + | 93.3454i | 2.07927 | + | 0.193262i | ||||
\(484\) | 74.7646 | + | 230.102i | 0.154472 | + | 0.475417i | ||||
\(485\) | 674.808 | − | 230.188i | 1.39136 | − | 0.474613i | ||||
\(486\) | 244.896 | + | 241.089i | 0.503902 | + | 0.496067i | ||||
\(487\) | 262.906 | − | 85.4233i | 0.539848 | − | 0.175407i | −0.0263859 | − | 0.999652i | \(-0.508400\pi\) |
0.566234 | + | 0.824245i | \(0.308400\pi\) | |||||||
\(488\) | 41.7266 | + | 128.421i | 0.0855054 | + | 0.263159i | ||||
\(489\) | 520.528 | − | 308.941i | 1.06447 | − | 0.631781i | ||||
\(490\) | −579.832 | + | 434.327i | −1.18333 | + | 0.886382i | ||||
\(491\) | 228.944 | − | 74.3885i | 0.466282 | − | 0.151504i | −0.0664473 | − | 0.997790i | \(-0.521166\pi\) |
0.532729 | + | 0.846286i | \(0.321166\pi\) | |||||||
\(492\) | 433.239 | + | 40.2683i | 0.880567 | + | 0.0818461i | ||||
\(493\) | − | 136.635i | − | 0.277151i | ||||||
\(494\) | −35.5409 | − | 48.9178i | −0.0719451 | − | 0.0990239i | ||||
\(495\) | −6.70305 | − | 3.53189i | −0.0135415 | − | 0.00713514i | ||||
\(496\) | 142.300 | + | 103.387i | 0.286895 | + | 0.208441i | ||||
\(497\) | −257.297 | − | 186.937i | −0.517701 | − | 0.376132i | ||||
\(498\) | 315.734 | + | 531.973i | 0.634004 | + | 1.06822i | ||||
\(499\) | 582.337 | 1.16701 | 0.583504 | − | 0.812110i | \(-0.301681\pi\) | ||||
0.583504 | + | 0.812110i | \(0.301681\pi\) | |||||||
\(500\) | −195.636 | + | 155.649i | −0.391272 | + | 0.311298i | ||||
\(501\) | −92.3842 | + | 105.121i | −0.184400 | + | 0.209822i | ||||
\(502\) | −101.961 | − | 33.1291i | −0.203109 | − | 0.0659942i | ||||
\(503\) | −561.192 | − | 407.730i | −1.11569 | − | 0.810596i | −0.132139 | − | 0.991231i | \(-0.542185\pi\) |
−0.983550 | + | 0.180635i | \(0.942185\pi\) | |||||||
\(504\) | −274.998 | − | 150.061i | −0.545632 | − | 0.297741i | ||||
\(505\) | 112.023 | − | 159.010i | 0.221827 | − | 0.314872i | ||||
\(506\) | −3.82349 | − | 5.26258i | −0.00755630 | − | 0.0104004i | ||||
\(507\) | −310.996 | + | 353.872i | −0.613404 | + | 0.697972i | ||||
\(508\) | −51.6486 | − | 71.0882i | −0.101670 | − | 0.139937i | ||||
\(509\) | 61.0814 | − | 19.8465i | 0.120003 | − | 0.0389912i | −0.248400 | − | 0.968658i | \(-0.579905\pi\) |
0.368403 | + | 0.929666i | \(0.379905\pi\) | |||||||
\(510\) | 10.4169 | − | 133.105i | 0.0204253 | − | 0.260990i | ||||
\(511\) | 497.203 | − | 1530.23i | 0.973001 | − | 2.99459i | ||||
\(512\) | −6.99226 | − | 21.5200i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | −91.6063 | + | 320.935i | −0.178570 | + | 0.625603i | ||||
\(514\) | −101.163 | + | 311.349i | −0.196816 | + | 0.605737i | ||||
\(515\) | 233.941 | − | 79.8009i | 0.454254 | − | 0.154953i | ||||
\(516\) | 98.3748 | − | 228.312i | 0.190649 | − | 0.442464i | ||||
\(517\) | −3.52276 | − | 4.84867i | −0.00681385 | − | 0.00937846i | ||||
\(518\) | 1127.60 | 2.17684 | ||||||||
\(519\) | −35.7617 | + | 384.753i | −0.0689050 | + | 0.741336i | ||||
\(520\) | −46.2963 | + | 15.7924i | −0.0890314 | + | 0.0303700i | ||||
\(521\) | −118.066 | + | 162.503i | −0.226613 | + | 0.311907i | −0.907150 | − | 0.420808i | \(-0.861747\pi\) |
0.680537 | + | 0.732714i | \(0.261747\pi\) | |||||||
\(522\) | 242.554 | + | 132.357i | 0.464663 | + | 0.253557i | ||||
\(523\) | −319.711 | − | 103.880i | −0.611302 | − | 0.198624i | −0.0130271 | − | 0.999915i | \(-0.504147\pi\) |
−0.598275 | + | 0.801291i | \(0.704147\pi\) | |||||||
\(524\) | 276.413i | 0.527505i | ||||||||
\(525\) | 779.657 | − | 494.030i | 1.48506 | − | 0.941010i | ||||
\(526\) | 66.3629 | 0.126165 | ||||||||
\(527\) | 85.5231 | − | 263.213i | 0.162283 | − | 0.499455i | ||||
\(528\) | 0.443833 | + | 1.97108i | 0.000840592 | + | 0.00373311i | ||||
\(529\) | −175.817 | − | 127.738i | −0.332357 | − | 0.241472i | ||||
\(530\) | 321.929 | − | 4.69375i | 0.607413 | − | 0.00885614i | ||||
\(531\) | −146.532 | + | 138.470i | −0.275955 | + | 0.260771i | ||||
\(532\) | − | 304.251i | − | 0.571900i | ||||||
\(533\) | −202.925 | + | 147.434i | −0.380722 | + | 0.276611i | ||||
\(534\) | −116.020 | + | 269.263i | −0.217266 | + | 0.504238i | ||||
\(535\) | −130.316 | − | 91.8079i | −0.243582 | − | 0.171604i | ||||
\(536\) | −20.0429 | − | 6.51233i | −0.0373934 | − | 0.0121499i | ||||
\(537\) | 97.1935 | − | 225.570i | 0.180994 | − | 0.420056i | ||||
\(538\) | 135.607 | − | 44.0614i | 0.252058 | − | 0.0818985i | ||||
\(539\) | −16.4059 | − | 5.33060i | −0.0304376 | − | 0.00988979i | ||||
\(540\) | 226.196 | + | 147.429i | 0.418882 | + | 0.273017i | ||||
\(541\) | 117.534 | + | 361.734i | 0.217254 | + | 0.668639i | 0.998986 | + | 0.0450245i | \(0.0143366\pi\) |
−0.781732 | + | 0.623615i | \(0.785663\pi\) | |||||||
\(542\) | 496.145 | − | 360.471i | 0.915397 | − | 0.665075i | ||||
\(543\) | −563.909 | + | 641.653i | −1.03851 | + | 1.18168i | ||||
\(544\) | −28.8036 | + | 20.9270i | −0.0529478 | + | 0.0384688i | ||||
\(545\) | 157.029 | − | 508.387i | 0.288126 | − | 0.932820i | ||||
\(546\) | 176.186 | − | 39.6722i | 0.322685 | − | 0.0726597i | ||||
\(547\) | 17.2230 | − | 23.7054i | 0.0314862 | − | 0.0433371i | −0.792984 | − | 0.609243i | \(-0.791473\pi\) |
0.824470 | + | 0.565906i | \(0.191473\pi\) | |||||||
\(548\) | −4.84698 | + | 14.9175i | −0.00884486 | + | 0.0272217i | ||||
\(549\) | 55.1868 | + | 426.105i | 0.100522 | + | 0.776147i | ||||
\(550\) | −5.71263 | − | 1.67367i | −0.0103866 | − | 0.00304303i | ||||
\(551\) | 268.355i | 0.487033i | ||||||||
\(552\) | 118.313 | + | 199.342i | 0.214334 | + | 0.361127i | ||||
\(553\) | −263.513 | + | 362.694i | −0.476515 | + | 0.655866i | ||||
\(554\) | −175.239 | + | 241.196i | −0.316316 | + | 0.435372i | ||||
\(555\) | −968.869 | − | 75.8246i | −1.74571 | − | 0.136621i | ||||
\(556\) | −230.048 | + | 167.140i | −0.413756 | + | 0.300611i | ||||
\(557\) | 535.245 | 0.960942 | 0.480471 | − | 0.877011i | \(-0.340466\pi\) | ||||
0.480471 | + | 0.877011i | \(0.340466\pi\) | |||||||
\(558\) | 384.408 | + | 406.791i | 0.688903 | + | 0.729015i | ||||
\(559\) | 44.2866 | + | 136.300i | 0.0792247 | + | 0.243828i | ||||
\(560\) | −235.171 | − | 72.6387i | −0.419948 | − | 0.129712i | ||||
\(561\) | 2.73381 | − | 1.62256i | 0.00487310 | − | 0.00289226i | ||||
\(562\) | 261.594 | − | 84.9971i | 0.465470 | − | 0.151240i | ||||
\(563\) | −265.173 | − | 816.117i | −0.470999 | − | 1.44959i | −0.851278 | − | 0.524715i | \(-0.824172\pi\) |
0.380279 | − | 0.924872i | \(-0.375828\pi\) | |||||||
\(564\) | 109.007 | + | 183.663i | 0.193275 | + | 0.325644i | ||||
\(565\) | 270.247 | − | 874.937i | 0.478314 | − | 1.54856i | ||||
\(566\) | 584.776 | − | 190.005i | 1.03317 | − | 0.335698i | ||||
\(567\) | −772.047 | − | 630.584i | −1.36163 | − | 1.11214i | ||||
\(568\) | − | 73.0940i | − | 0.128687i | ||||||
\(569\) | 270.482 | + | 372.286i | 0.475364 | + | 0.654282i | 0.977606 | − | 0.210445i | \(-0.0674914\pi\) |
−0.502242 | + | 0.864727i | \(0.667491\pi\) | |||||||
\(570\) | −20.4591 | + | 261.421i | −0.0358931 | + | 0.458634i | ||||
\(571\) | 174.198 | + | 126.562i | 0.305075 | + | 0.221650i | 0.729780 | − | 0.683682i | \(-0.239622\pi\) |
−0.424705 | + | 0.905332i | \(0.639622\pi\) | |||||||
\(572\) | −0.942289 | − | 0.684613i | −0.00164736 | − | 0.00119688i | ||||
\(573\) | 807.960 | − | 479.537i | 1.41005 | − | 0.836888i | ||||
\(574\) | −1262.12 | −2.19881 | ||||||||
\(575\) | −682.682 | + | 19.9114i | −1.18727 | + | 0.0346285i | ||||
\(576\) | −9.24782 | − | 71.4036i | −0.0160552 | − | 0.123965i | ||||
\(577\) | 499.373 | + | 162.256i | 0.865464 | + | 0.281206i | 0.707909 | − | 0.706304i | \(-0.249639\pi\) |
0.157555 | + | 0.987510i | \(0.449639\pi\) | |||||||
\(578\) | −285.330 | − | 207.305i | −0.493651 | − | 0.358658i | ||||
\(579\) | −35.1611 | − | 156.152i | −0.0607273 | − | 0.269692i | ||||
\(580\) | 207.425 | + | 64.0688i | 0.357630 | + | 0.110463i | ||||
\(581\) | −1054.73 | − | 1451.72i | −1.81538 | − | 2.49865i | ||||
\(582\) | −454.436 | − | 399.376i | −0.780818 | − | 0.686212i | ||||
\(583\) | 4.50612 | + | 6.20214i | 0.00772919 | + | 0.0106383i | ||||
\(584\) | 351.692 | − | 114.272i | 0.602212 | − | 0.195671i | ||||
\(585\) | −154.052 | + | 22.2401i | −0.263337 | + | 0.0380172i | ||||
\(586\) | 143.116 | − | 440.467i | 0.244226 | − | 0.751650i | ||||
\(587\) | 187.295 | + | 576.435i | 0.319072 | + | 0.982002i | 0.974046 | + | 0.226351i | \(0.0726796\pi\) |
−0.654974 | + | 0.755651i | \(0.727320\pi\) | |||||||
\(588\) | 564.550 | + | 243.253i | 0.960119 | + | 0.413695i | ||||
\(589\) | −167.969 | + | 516.956i | −0.285177 | + | 0.877685i | ||||
\(590\) | −91.2258 | + | 129.490i | −0.154620 | + | 0.219475i | ||||
\(591\) | −487.008 | − | 209.842i | −0.824041 | − | 0.355062i | ||||
\(592\) | 152.328 | + | 209.661i | 0.257310 | + | 0.354157i | ||||
\(593\) | 713.586 | 1.20335 | 0.601675 | − | 0.798741i | \(-0.294500\pi\) | ||||
0.601675 | + | 0.798741i | \(0.294500\pi\) | |||||||
\(594\) | 0.232144 | + | 6.42478i | 0.000390815 | + | 0.0108161i | ||||
\(595\) | 5.64598 | + | 387.239i | 0.00948905 | + | 0.650822i | ||||
\(596\) | −193.178 | + | 265.887i | −0.324124 | + | 0.446119i | ||||
\(597\) | −376.162 | + | 84.7014i | −0.630088 | + | 0.141878i | ||||
\(598\) | −127.092 | − | 41.2947i | −0.212528 | − | 0.0690546i | ||||
\(599\) | 207.616i | 0.346604i | 0.984869 | + | 0.173302i | \(0.0554437\pi\) | ||||
−0.984869 | + | 0.173302i | \(0.944556\pi\) | |||||||
\(600\) | 197.181 | + | 78.2272i | 0.328636 | + | 0.130379i | ||||
\(601\) | 176.116 | 0.293038 | 0.146519 | − | 0.989208i | \(-0.453193\pi\) | ||||
0.146519 | + | 0.989208i | \(0.453193\pi\) | |||||||
\(602\) | −222.841 | + | 685.833i | −0.370167 | + | 1.13926i | ||||
\(603\) | −58.8644 | − | 32.1212i | −0.0976193 | − | 0.0532689i | ||||
\(604\) | −180.549 | − | 131.177i | −0.298922 | − | 0.217180i | ||||
\(605\) | 195.278 | + | 572.468i | 0.322774 | + | 0.946229i | ||||
\(606\) | −164.337 | − | 15.2746i | −0.271183 | − | 0.0252057i | ||||
\(607\) | − | 473.843i | − | 0.780631i | −0.920681 | − | 0.390315i | \(-0.872366\pi\) | ||
0.920681 | − | 0.390315i | \(-0.127634\pi\) | |||||||
\(608\) | 56.5709 | − | 41.1012i | 0.0930443 | − | 0.0676006i | ||||
\(609\) | −736.092 | − | 317.167i | −1.20869 | − | 0.520799i | ||||
\(610\) | 108.986 | + | 319.499i | 0.178666 | + | 0.523768i | ||||
\(611\) | −117.096 | − | 38.0468i | −0.191646 | − | 0.0622697i | ||||
\(612\) | −102.355 | + | 48.5570i | −0.167247 | + | 0.0793415i | ||||
\(613\) | −346.131 | + | 112.465i | −0.564650 | + | 0.183466i | −0.577413 | − | 0.816453i | \(-0.695938\pi\) |
0.0127622 | + | 0.999919i | \(0.495938\pi\) | |||||||
\(614\) | 230.791 | + | 74.9885i | 0.375881 | + | 0.122131i | ||||
\(615\) | 1084.45 | + | 84.8700i | 1.76333 | + | 0.138000i | ||||
\(616\) | −1.81105 | − | 5.57385i | −0.00294002 | − | 0.00904845i | ||||
\(617\) | −937.652 | + | 681.244i | −1.51970 | + | 1.10412i | −0.558057 | + | 0.829803i | \(0.688453\pi\) |
−0.961638 | + | 0.274320i | \(0.911547\pi\) | |||||||
\(618\) | −157.543 | − | 138.455i | −0.254924 | − | 0.224037i | ||||
\(619\) | −54.9365 | + | 39.9137i | −0.0887504 | + | 0.0644810i | −0.631276 | − | 0.775559i | \(-0.717468\pi\) |
0.542525 | + | 0.840040i | \(0.317468\pi\) | |||||||
\(620\) | 359.480 | + | 253.253i | 0.579806 | + | 0.408473i | ||||
\(621\) | 253.116 | + | 692.821i | 0.407595 | + | 1.11565i | ||||
\(622\) | 14.2354 | − | 19.5934i | 0.0228866 | − | 0.0315006i | ||||
\(623\) | 262.811 | − | 808.849i | 0.421847 | − | 1.29831i | ||||
\(624\) | 31.1774 | + | 27.3998i | 0.0499637 | + | 0.0439100i | ||||
\(625\) | −483.365 | + | 396.211i | −0.773384 | + | 0.633938i | ||||
\(626\) | 120.586i | 0.192629i | ||||||||
\(627\) | −5.36926 | + | 3.18674i | −0.00856342 | + | 0.00508252i | ||||
\(628\) | −106.473 | + | 146.547i | −0.169542 | + | 0.233355i | ||||
\(629\) | 239.681 | − | 329.892i | 0.381050 | − | 0.524471i | ||||
\(630\) | −692.892 | − | 365.090i | −1.09983 | − | 0.579509i | ||||
\(631\) | −264.699 | + | 192.315i | −0.419491 | + | 0.304778i | −0.777433 | − | 0.628966i | \(-0.783479\pi\) |
0.357942 | + | 0.933744i | \(0.383479\pi\) | |||||||
\(632\) | −103.036 | −0.163031 | ||||||||
\(633\) | −67.2234 | + | 723.244i | −0.106198 | + | 1.14257i | ||||
\(634\) | 167.703 | + | 516.137i | 0.264516 | + | 0.814096i | ||||
\(635\) | −131.699 | − | 175.819i | −0.207400 | − | 0.276881i | ||||
\(636\) | −139.436 | − | 234.932i | −0.219238 | − | 0.369390i | ||||
\(637\) | −337.032 | + | 109.508i | −0.529092 | + | 0.171912i | ||||
\(638\) | 1.59738 | + | 4.91624i | 0.00250374 | + | 0.00770571i | ||||
\(639\) | 42.8656 | − | 228.599i | 0.0670823 | − | 0.357746i | ||||
\(640\) | −18.2631 | − | 53.5393i | −0.0285361 | − | 0.0836552i | ||||
\(641\) | −331.108 | + | 107.584i | −0.516550 | + | 0.167837i | −0.555679 | − | 0.831397i | \(-0.687542\pi\) |
0.0391292 | + | 0.999234i | \(0.487542\pi\) | |||||||
\(642\) | −12.5183 | + | 134.682i | −0.0194989 | + | 0.209785i | ||||
\(643\) | − | 54.8509i | − | 0.0853047i | −0.999090 | − | 0.0426523i | \(-0.986419\pi\) | ||
0.999090 | − | 0.0426523i | \(-0.0135808\pi\) | |||||||
\(644\) | −395.232 | − | 543.991i | −0.613715 | − | 0.844706i | ||||
\(645\) | 237.590 | − | 574.304i | 0.368356 | − | 0.890393i | ||||
\(646\) | −89.0118 | − | 64.6709i | −0.137789 | − | 0.100110i | ||||
\(647\) | 409.770 | + | 297.715i | 0.633338 | + | 0.460147i | 0.857555 | − | 0.514392i | \(-0.171983\pi\) |
−0.224217 | + | 0.974539i | \(0.571983\pi\) | |||||||
\(648\) | 12.9520 | − | 228.736i | 0.0199877 | − | 0.352988i | ||||
\(649\) | −3.77161 | −0.00581142 | ||||||||
\(650\) | −115.153 | + | 41.1642i | −0.177158 | + | 0.0633295i | ||||
\(651\) | −1219.48 | − | 1071.72i | −1.87324 | − | 1.64627i | ||||
\(652\) | −383.786 | − | 124.700i | −0.588629 | − | 0.191257i | ||||
\(653\) | 246.110 | + | 178.809i | 0.376891 | + | 0.273827i | 0.760062 | − | 0.649850i | \(-0.225168\pi\) |
−0.383172 | + | 0.923677i | \(0.625168\pi\) | |||||||
\(654\) | −440.462 | + | 99.1798i | −0.673489 | + | 0.151651i | ||||
\(655\) | 10.0742 | + | 690.959i | 0.0153805 | + | 1.05490i | ||||
\(656\) | −170.499 | − | 234.672i | −0.259908 | − | 0.357732i | ||||
\(657\) | 1166.92 | − | 151.133i | 1.77613 | − | 0.230035i | ||||
\(658\) | −364.147 | − | 501.205i | −0.553414 | − | 0.761710i | ||||
\(659\) | −585.917 | + | 190.376i | −0.889101 | + | 0.288886i | −0.717731 | − | 0.696321i | \(-0.754819\pi\) |
−0.171370 | + | 0.985207i | \(0.554819\pi\) | |||||||
\(660\) | 1.18130 | + | 4.91100i | 0.00178985 | + | 0.00744091i | ||||
\(661\) | −75.8809 | + | 233.537i | −0.114797 | + | 0.353309i | −0.991905 | − | 0.126985i | \(-0.959470\pi\) |
0.877107 | + | 0.480294i | \(0.159470\pi\) | |||||||
\(662\) | −146.496 | − | 450.868i | −0.221293 | − | 0.681069i | ||||
\(663\) | 25.8431 | − | 59.9777i | 0.0389791 | − | 0.0904641i | ||||
\(664\) | 127.441 | − | 392.224i | 0.191930 | − | 0.590699i | ||||
\(665\) | −11.0888 | − | 760.546i | −0.0166749 | − | 1.14368i | ||||
\(666\) | 353.446 | + | 745.040i | 0.530699 | + | 1.11868i | ||||
\(667\) | 348.603 | + | 479.811i | 0.522643 | + | 0.719356i | ||||
\(668\) | 93.2982 | 0.139668 | ||||||||
\(669\) | −666.928 | − | 61.9890i | −0.996903 | − | 0.0926592i | ||||
\(670\) | −50.3392 | − | 15.5486i | −0.0751332 | − | 0.0232069i | ||||
\(671\) | −4.72463 | + | 6.50289i | −0.00704117 | + | 0.00969134i | ||||
\(672\) | 45.8788 | + | 203.750i | 0.0682721 | + | 0.303199i | ||||
\(673\) | 373.337 | + | 121.304i | 0.554735 | + | 0.180244i | 0.572951 | − | 0.819590i | \(-0.305799\pi\) |
−0.0182157 | + | 0.999834i | \(0.505799\pi\) | |||||||
\(674\) | − | 456.400i | − | 0.677152i | ||||||
\(675\) | 570.803 | + | 360.290i | 0.845635 | + | 0.533762i | ||||
\(676\) | 314.072 | 0.464604 | ||||||||
\(677\) | −107.038 | + | 329.430i | −0.158107 | + | 0.486602i | −0.998462 | − | 0.0554329i | \(-0.982346\pi\) |
0.840356 | + | 0.542035i | \(0.182346\pi\) | |||||||
\(678\) | −758.037 | + | 170.689i | −1.11805 | + | 0.251754i | ||||
\(679\) | 1419.75 | + | 1031.51i | 2.09094 | + | 1.51915i | ||||
\(680\) | −71.2387 | + | 53.3618i | −0.104763 | + | 0.0784733i | ||||
\(681\) | −86.0049 | + | 925.310i | −0.126292 | + | 1.35875i | ||||
\(682\) | 10.4704i | 0.0153525i | ||||||||
\(683\) | −930.984 | + | 676.399i | −1.36308 | + | 0.990336i | −0.364838 | + | 0.931071i | \(0.618876\pi\) |
−0.998242 | + | 0.0592644i | \(0.981124\pi\) | |||||||
\(684\) | 201.028 | − | 95.3671i | 0.293900 | − | 0.139426i | ||||
\(685\) | −11.5725 | + | 37.4664i | −0.0168941 | + | 0.0546955i | ||||
\(686\) | −884.801 | − | 287.489i | −1.28980 | − | 0.419081i | ||||
\(687\) | 139.532 | + | 60.1216i | 0.203104 | + | 0.0875132i | ||||
\(688\) | −157.624 | + | 51.2152i | −0.229105 | + | 0.0744406i | ||||
\(689\) | 149.782 | + | 48.6673i | 0.217391 | + | 0.0706346i | ||||
\(690\) | 303.015 | + | 493.990i | 0.439153 | + | 0.715928i | ||||
\(691\) | −282.154 | − | 868.380i | −0.408327 | − | 1.25670i | −0.918085 | − | 0.396383i | \(-0.870265\pi\) |
0.509758 | − | 0.860318i | \(-0.329735\pi\) | |||||||
\(692\) | 208.409 | − | 151.418i | 0.301169 | − | 0.218812i | ||||
\(693\) | −2.39526 | − | 18.4941i | −0.00345637 | − | 0.0266871i | ||||
\(694\) | 558.223 | − | 405.572i | 0.804355 | − | 0.584398i | ||||
\(695\) | −568.968 | + | 426.190i | −0.818659 | + | 0.613222i | ||||
\(696\) | −40.4660 | − | 179.711i | −0.0581409 | − | 0.258206i | ||||
\(697\) | −268.273 | + | 369.246i | −0.384897 | + | 0.529765i | ||||
\(698\) | −76.2006 | + | 234.521i | −0.109170 | + | 0.335990i | ||||
\(699\) | −467.385 | + | 531.822i | −0.668648 | + | 0.760832i | ||||
\(700\) | −590.512 | − | 173.006i | −0.843589 | − | 0.247152i | ||||
\(701\) | 106.480i | 0.151897i | 0.997112 | + | 0.0759487i | \(0.0241985\pi\) | ||||
−0.997112 | + | 0.0759487i | \(0.975801\pi\) | |||||||
\(702\) | 81.4379 | + | 103.976i | 0.116008 | + | 0.148114i | ||||
\(703\) | −470.738 | + | 647.915i | −0.669613 | + | 0.921643i | ||||
\(704\) | 0.791720 | − | 1.08971i | 0.00112460 | − | 0.00154788i | ||||
\(705\) | 279.183 | + | 455.137i | 0.396004 | + | 0.645584i | ||||
\(706\) | −66.3878 | + | 48.2335i | −0.0940337 | + | 0.0683195i | ||||
\(707\) | 478.749 | 0.677156 | ||||||||
\(708\) | 133.828 | + | 12.4389i | 0.189023 | + | 0.0175691i | ||||
\(709\) | 19.4886 | + | 59.9797i | 0.0274874 | + | 0.0845977i | 0.963859 | − | 0.266412i | \(-0.0858383\pi\) |
−0.936372 | + | 0.351010i | \(0.885838\pi\) | |||||||
\(710\) | −2.66401 | − | 182.716i | −0.00375213 | − | 0.257346i | ||||
\(711\) | −322.241 | − | 60.4247i | −0.453222 | − | 0.0849855i | ||||
\(712\) | 185.897 | − | 60.4015i | 0.261091 | − | 0.0848335i | ||||
\(713\) | 371.221 | + | 1142.50i | 0.520646 | + | 1.60238i | ||||
\(714\) | 282.593 | − | 167.723i | 0.395788 | − | 0.234907i | ||||
\(715\) | −2.38042 | − | 1.67701i | −0.00332926 | − | 0.00234547i | ||||
\(716\) | −155.731 | + | 50.6002i | −0.217502 | + | 0.0706707i | ||||
\(717\) | −435.509 | − | 40.4793i | −0.607404 | − | 0.0564564i | ||||
\(718\) | − | 438.285i | − | 0.610424i | ||||||
\(719\) | 26.7441 | + | 36.8101i | 0.0371962 | + | 0.0511962i | 0.827210 | − | 0.561893i | \(-0.189927\pi\) |
−0.790014 | + | 0.613089i | \(0.789927\pi\) | |||||||
\(720\) | −25.7195 | − | 178.153i | −0.0357215 | − | 0.247435i | ||||
\(721\) | 492.194 | + | 357.600i | 0.682655 | + | 0.495978i | ||||
\(722\) | −238.207 | − | 173.068i | −0.329927 | − | 0.239706i | ||||
\(723\) | 283.712 | + | 478.020i | 0.392410 | + | 0.661162i | ||||
\(724\) | 569.488 | 0.786585 | ||||||||
\(725\) | 520.844 | + | 152.595i | 0.718405 | + | 0.210476i | ||||
\(726\) | 338.808 | − | 385.518i | 0.466677 | − | 0.531016i | ||||
\(727\) | 136.109 | + | 44.2246i | 0.187221 | + | 0.0608317i | 0.401127 | − | 0.916023i | \(-0.368619\pi\) |
−0.213906 | + | 0.976854i | \(0.568619\pi\) | |||||||
\(728\) | −97.4041 | − | 70.7682i | −0.133797 | − | 0.0972091i | ||||
\(729\) | 174.648 | − | 707.770i | 0.239572 | − | 0.970879i | ||||
\(730\) | 874.971 | − | 298.466i | 1.19859 | − | 0.408858i | ||||
\(731\) | 153.281 | + | 210.974i | 0.209687 | + | 0.288610i | ||||
\(732\) | 189.091 | − | 215.160i | 0.258321 | − | 0.293935i | ||||
\(733\) | −744.799 | − | 1025.13i | −1.01610 | − | 1.39854i | −0.914904 | − | 0.403670i | \(-0.867734\pi\) |
−0.101192 | − | 0.994867i | \(-0.532266\pi\) | |||||||
\(734\) | 326.036 | − | 105.936i | 0.444191 | − | 0.144326i | ||||
\(735\) | 1420.09 | + | 587.492i | 1.93210 | + | 0.799309i | ||||
\(736\) | 47.7552 | − | 146.975i | 0.0648847 | − | 0.199695i | ||||
\(737\) | −0.387663 | − | 1.19310i | −0.000526001 | − | 0.00161886i | ||||
\(738\) | −395.610 | − | 833.920i | −0.536057 | − | 1.12997i | ||||
\(739\) | 359.861 | − | 1107.54i | 0.486957 | − | 1.49870i | −0.342169 | − | 0.939639i | \(-0.611161\pi\) |
0.829126 | − | 0.559062i | \(-0.188839\pi\) | |||||||
\(740\) | 388.420 | + | 518.545i | 0.524892 | + | 0.700736i | ||||
\(741\) | −50.7565 | + | 117.797i | −0.0684973 | + | 0.158971i | ||||
\(742\) | 465.796 | + | 641.113i | 0.627757 | + | 0.864033i | ||||
\(743\) | −363.494 | −0.489224 | −0.244612 | − | 0.969621i | \(-0.578661\pi\) | ||||
−0.244612 | + | 0.969621i | \(0.578661\pi\) | |||||||
\(744\) | 34.5319 | − | 371.522i | 0.0464139 | − | 0.499358i | ||||
\(745\) | −473.203 | + | 671.687i | −0.635172 | + | 0.901594i | ||||
\(746\) | −427.726 | + | 588.714i | −0.573359 | + | 0.789161i | ||||
\(747\) | 628.588 | − | 1151.93i | 0.841483 | − | 1.54208i | ||||
\(748\) | −2.01564 | − | 0.654922i | −0.00269471 | − | 0.000875564i | ||||
\(749\) | − | 392.358i | − | 0.523842i | ||||||
\(750\) | 495.752 | + | 188.361i | 0.661003 | + | 0.251148i | ||||
\(751\) | −796.862 | −1.06107 | −0.530534 | − | 0.847664i | \(-0.678009\pi\) | ||||
−0.530534 | + | 0.847664i | \(0.678009\pi\) | |||||||
\(752\) | 43.9991 | − | 135.415i | 0.0585095 | − | 0.180074i | ||||
\(753\) | 49.9584 | + | 221.867i | 0.0663458 | + | 0.294645i | ||||
\(754\) | 85.9123 | + | 62.4190i | 0.113942 | + | 0.0827838i | ||||
\(755\) | −456.106 | − | 321.326i | −0.604114 | − | 0.425598i | ||||
\(756\) | 23.9967 | + | 664.127i | 0.0317416 | + | 0.878475i | ||||
\(757\) | 1067.66i | 1.41038i | 0.709020 | + | 0.705188i | \(0.249138\pi\) | ||||
−0.709020 | + | 0.705188i | \(0.750862\pi\) | |||||||
\(758\) | −327.811 | + | 238.169i | −0.432469 | + | 0.314207i | ||||
\(759\) | −5.46039 | + | 12.6727i | −0.00719418 | + | 0.0166965i | ||||
\(760\) | 139.914 | − | 104.804i | 0.184098 | − | 0.137900i | ||||
\(761\) | 187.713 | + | 60.9917i | 0.246666 | + | 0.0801468i | 0.429741 | − | 0.902952i | \(-0.358605\pi\) |
−0.183074 | + | 0.983099i | \(0.558605\pi\) | |||||||
\(762\) | −73.7603 | + | 171.185i | −0.0967982 | + | 0.224653i | ||||
\(763\) | 1245.54 | − | 404.702i | 1.63243 | − | 0.530409i | ||||
\(764\) | −595.710 | − | 193.558i | −0.779725 | − | 0.253348i | ||||
\(765\) | −254.091 | + | 125.110i | −0.332145 | + | 0.163543i | ||||
\(766\) | −115.682 | − | 356.034i | −0.151021 | − | 0.464796i | ||||
\(767\) | −62.6838 | + | 45.5424i | −0.0817259 | + | 0.0593774i | ||||
\(768\) | −31.6865 | + | 36.0550i | −0.0412585 | + | 0.0469467i | ||||
\(769\) | 315.973 | − | 229.568i | 0.410888 | − | 0.298528i | −0.363073 | − | 0.931761i | \(-0.618272\pi\) |
0.773961 | + | 0.633233i | \(0.218272\pi\) | |||||||
\(770\) | −4.73030 | − | 13.8671i | −0.00614324 | − | 0.0180093i | ||||
\(771\) | 677.497 | − | 152.554i | 0.878725 | − | 0.197865i | ||||
\(772\) | −62.7213 | + | 86.3284i | −0.0812451 | + | 0.111824i | ||||
\(773\) | 81.0538 | − | 249.458i | 0.104856 | − | 0.322714i | −0.884840 | − | 0.465894i | \(-0.845733\pi\) |
0.989697 | + | 0.143180i | \(0.0457328\pi\) | |||||||
\(774\) | −523.000 | + | 67.7361i | −0.675710 | + | 0.0875144i | ||||
\(775\) | 907.834 | + | 619.965i | 1.17140 | + | 0.799954i | ||||
\(776\) | 403.327i | 0.519751i | ||||||||
\(777\) | −1220.85 | − | 2056.99i | −1.57124 | − | 2.64735i | ||||
\(778\) | 405.852 | − | 558.607i | 0.521660 | − | 0.718004i | ||||
\(779\) | 526.894 | − | 725.208i | 0.676373 | − | 0.930947i | ||||
\(780\) | 78.9338 | + | 67.3560i | 0.101197 | + | 0.0863539i | ||||
\(781\) | 3.52012 | − | 2.55752i | 0.00450719 | − | 0.00327467i | ||||
\(782\) | −243.160 | −0.310946 | ||||||||
\(783\) | −21.1655 | − | 585.773i | −0.0270313 | − | 0.748114i | ||||
\(784\) | −126.641 | − | 389.760i | −0.161531 | − | 0.497142i | ||||
\(785\) | −260.812 | + | 370.209i | −0.332245 | + | 0.471604i | ||||
\(786\) | 504.236 | − | 299.272i | 0.641522 | − | 0.380753i | ||||
\(787\) | 522.837 | − | 169.880i | 0.664341 | − | 0.215858i | 0.0426143 | − | 0.999092i | \(-0.486431\pi\) |
0.621727 | + | 0.783234i | \(0.286431\pi\) | |||||||
\(788\) | 109.246 | + | 336.226i | 0.138637 | + | 0.426682i | ||||
\(789\) | −71.8511 | − | 121.060i | −0.0910660 | − | 0.153435i | ||||
\(790\) | −257.561 | + | 3.75527i | −0.326027 | + | 0.00475351i | ||||
\(791\) | 2143.59 | − | 696.494i | 2.70997 | − | 0.880523i | ||||
\(792\) | 3.11514 | − | 2.94373i | 0.00393325 | − | 0.00371684i | ||||
\(793\) | 165.128i | 0.208232i | ||||||||
\(794\) | 205.768 | + | 283.215i | 0.259153 | + | 0.356694i | ||||
\(795\) | −357.115 | − | 582.185i | −0.449201 | − | 0.732308i | ||||
\(796\) | 207.961 | + | 151.092i | 0.261257 | + | 0.189815i | ||||
\(797\) | 1093.60 | + | 794.546i | 1.37214 | + | 0.996920i | 0.997566 | + | 0.0697247i | \(0.0222121\pi\) |
0.374577 | + | 0.927196i | \(0.377788\pi\) | |||||||
\(798\) | −555.019 | + | 329.412i | −0.695512 | + | 0.412797i | ||||
\(799\) | −224.035 | −0.280394 | ||||||||
\(800\) | −47.6042 | − | 133.168i | −0.0595053 | − | 0.166461i | ||||
\(801\) | 616.808 | − | 79.8857i | 0.770048 | − | 0.0997325i | ||||
\(802\) | −848.432 | − | 275.672i | −1.05790 | − | 0.343731i | ||||
\(803\) | 17.8087 | + | 12.9388i | 0.0221777 | + | 0.0161130i | ||||
\(804\) | 9.82054 | + | 43.6134i | 0.0122146 | + | 0.0542456i | ||||
\(805\) | −1007.80 | − | 1345.43i | −1.25193 | − | 1.67134i | ||||
\(806\) | 126.431 | + | 174.018i | 0.156862 | + | 0.215903i | ||||
\(807\) | −227.199 | − | 199.671i | −0.281535 | − | 0.247424i | ||||
\(808\) | 64.6741 | + | 89.0163i | 0.0800423 | + | 0.110169i | ||||
\(809\) | −758.745 | + | 246.531i | −0.937879 | + | 0.304736i | −0.737781 | − | 0.675040i | \(-0.764126\pi\) |
−0.200099 | + | 0.979776i | \(0.564126\pi\) | |||||||
\(810\) | 24.0400 | − | 572.252i | 0.0296790 | − | 0.706484i | ||||
\(811\) | −83.3884 | + | 256.643i | −0.102822 | + | 0.316453i | −0.989213 | − | 0.146484i | \(-0.953204\pi\) |
0.886391 | + | 0.462937i | \(0.153204\pi\) | |||||||
\(812\) | 165.121 | + | 508.190i | 0.203351 | + | 0.625850i | ||||
\(813\) | −1194.75 | − | 514.794i | −1.46956 | − | 0.633203i | ||||
\(814\) | −4.76716 | + | 14.6718i | −0.00585647 | + | 0.0180244i | ||||
\(815\) | −963.908 | − | 297.728i | −1.18271 | − | 0.365311i | ||||
\(816\) | 69.3611 | + | 29.8863i | 0.0850013 | + | 0.0366253i | ||||
\(817\) | −301.048 | − | 414.357i | −0.368480 | − | 0.507169i | ||||
\(818\) | 75.9822 | 0.0928878 | ||||||||
\(819\) | −263.127 | − | 278.448i | −0.321278 | − | 0.339985i | ||||
\(820\) | −434.756 | − | 580.404i | −0.530190 | − | 0.707810i | ||||
\(821\) | 277.806 | − | 382.367i | 0.338375 | − | 0.465733i | −0.605591 | − | 0.795776i | \(-0.707063\pi\) |
0.943966 | + | 0.330043i | \(0.107063\pi\) | |||||||
\(822\) | 32.4605 | − | 7.30921i | 0.0394897 | − | 0.00889199i | ||||
\(823\) | −428.735 | − | 139.304i | −0.520941 | − | 0.169264i | 0.0367313 | − | 0.999325i | \(-0.488305\pi\) |
−0.557672 | + | 0.830061i | \(0.688305\pi\) | |||||||
\(824\) | 139.824i | 0.169690i | ||||||||
\(825\) | 3.13193 | + | 12.2331i | 0.00379628 | + | 0.0148280i | ||||
\(826\) | −389.870 | −0.471998 | ||||||||
\(827\) | −299.349 | + | 921.300i | −0.361969 | + | 1.11403i | 0.589888 | + | 0.807485i | \(0.299172\pi\) |
−0.951857 | + | 0.306542i | \(0.900828\pi\) | |||||||
\(828\) | 235.546 | − | 431.655i | 0.284476 | − | 0.521323i | ||||
\(829\) | 238.901 | + | 173.571i | 0.288179 | + | 0.209375i | 0.722477 | − | 0.691395i | \(-0.243003\pi\) |
−0.434298 | + | 0.900769i | \(0.643003\pi\) | |||||||
\(830\) | 304.275 | − | 985.102i | 0.366596 | − | 1.18687i | ||||
\(831\) | 629.725 | + | 58.5311i | 0.757792 | + | 0.0704345i | ||||
\(832\) | − | 27.6709i | − | 0.0332583i | ||||||
\(833\) | −521.678 | + | 379.021i | −0.626264 | + | 0.455007i | ||||
\(834\) | 553.972 | + | 238.695i | 0.664235 | + | 0.286205i | ||||
\(835\) | 233.221 | − | 3.40038i | 0.279306 | − | 0.00407231i | ||||
\(836\) | 3.95877 | + | 1.28628i | 0.00473537 | + | 0.00153861i | ||||
\(837\) | 325.875 | − | 1141.68i | 0.389337 | − | 1.36401i | ||||
\(838\) | −723.319 | + | 235.021i | −0.863149 | + | 0.280454i | ||||
\(839\) | 871.238 | + | 283.082i | 1.03842 | + | 0.337404i | 0.778116 | − | 0.628121i | \(-0.216176\pi\) |
0.260308 | + | 0.965525i | \(0.416176\pi\) | |||||||
\(840\) | 122.111 | + | 507.648i | 0.145370 | + | 0.604343i | ||||
\(841\) | 114.243 | + | 351.604i | 0.135842 | + | 0.418079i | ||||
\(842\) | −8.52359 | + | 6.19275i | −0.0101230 | + | 0.00735481i | ||||
\(843\) | −438.281 | − | 385.178i | −0.519906 | − | 0.456913i | ||||
\(844\) | 391.759 | − | 284.630i | 0.464170 | − | 0.337239i | ||||
\(845\) | 785.098 | − | 11.4468i | 0.929110 | − | 0.0135465i | ||||
\(846\) | 217.020 | − | 397.705i | 0.256525 | − | 0.470100i | ||||
\(847\) | −875.071 | + | 1204.43i | −1.03314 | + | 1.42200i | ||||
\(848\) | −56.2812 | + | 173.216i | −0.0663693 | + | 0.204264i | ||||
\(849\) | −979.747 | − | 861.038i | −1.15400 | − | 1.01418i | ||||
\(850\) | −176.133 | + | 135.987i | −0.207215 | + | 0.159984i | ||||
\(851\) | 1769.96i | 2.07986i | ||||||||
\(852\) | −133.339 | + | 79.1389i | −0.156501 | + | 0.0928860i | ||||
\(853\) | 762.719 | − | 1049.79i | 0.894160 | − | 1.23071i | −0.0781336 | − | 0.996943i | \(-0.524896\pi\) |
0.972294 | − | 0.233763i | \(-0.0751039\pi\) | |||||||
\(854\) | −488.383 | + | 672.202i | −0.571877 | + | 0.787121i | ||||
\(855\) | 499.040 | − | 245.719i | 0.583672 | − | 0.287391i | ||||
\(856\) | 72.9531 | − | 53.0036i | 0.0852256 | − | 0.0619201i | ||||
\(857\) | −804.895 | −0.939201 | −0.469600 | − | 0.882879i | \(-0.655602\pi\) | ||||
−0.469600 | + | 0.882879i | \(0.655602\pi\) | |||||||
\(858\) | −0.228665 | + | 2.46017i | −0.000266510 | + | 0.00286733i | ||||
\(859\) | −122.753 | − | 377.795i | −0.142902 | − | 0.439808i | 0.853833 | − | 0.520547i | \(-0.174272\pi\) |
−0.996735 | + | 0.0807393i | \(0.974272\pi\) | |||||||
\(860\) | −392.152 | + | 133.769i | −0.455990 | + | 0.155545i | ||||
\(861\) | 1366.50 | + | 2302.38i | 1.58710 | + | 2.67407i | ||||
\(862\) | −354.924 | + | 115.322i | −0.411744 | + | 0.133784i | ||||
\(863\) | 76.7061 | + | 236.077i | 0.0888831 | + | 0.273554i | 0.985611 | − | 0.169028i | \(-0.0540627\pi\) |
−0.896728 | + | 0.442582i | \(0.854063\pi\) | |||||||
\(864\) | −120.243 | + | 94.1787i | −0.139170 | + | 0.109003i | ||||
\(865\) | 515.449 | − | 386.101i | 0.595894 | − | 0.446359i | ||||
\(866\) | 209.398 | − | 68.0376i | 0.241799 | − | 0.0785653i | ||||
\(867\) | −69.2411 | + | 744.953i | −0.0798629 | + | 0.859230i | ||||
\(868\) | 1082.33i | 1.24692i | ||||||||
\(869\) | −3.60515 | − | 4.96206i | −0.00414862 | − | 0.00571009i | ||||
\(870\) | −107.704 | − | 447.756i | −0.123798 | − | 0.514662i | ||||
\(871\) | −20.8497 | − | 15.1482i | −0.0239377 | − | 0.0173917i | ||||
\(872\) | 243.509 | + | 176.919i | 0.279253 | + | 0.202889i | ||||
\(873\) | −236.529 | + | 1261.39i | −0.270938 | + | 1.44489i | ||||
\(874\) | 477.572 | 0.546421 | ||||||||
\(875\) | −1482.43 | − | 410.948i | −1.69420 | − | 0.469655i | ||||
\(876\) | −589.233 | − | 517.840i | −0.672640 | − | 0.591141i | ||||
\(877\) | −304.629 | − | 98.9801i | −0.347354 | − | 0.112862i | 0.130144 | − | 0.991495i | \(-0.458456\pi\) |
−0.477498 | + | 0.878633i | \(0.658456\pi\) | |||||||
\(878\) | −440.093 | − | 319.746i | −0.501245 | − | 0.364176i | ||||
\(879\) | −958.458 | + | 215.818i | −1.09040 | + | 0.245527i | ||||
\(880\) | 1.93937 | − | 2.75284i | 0.00220383 | − | 0.00312822i | ||||
\(881\) | 913.657 | + | 1257.54i | 1.03707 | + | 1.42740i | 0.899506 | + | 0.436909i | \(0.143927\pi\) |
0.137563 | + | 0.990493i | \(0.456073\pi\) | |||||||
\(882\) | −167.492 | − | 1293.23i | −0.189901 | − | 1.46625i | ||||
\(883\) | −275.497 | − | 379.189i | −0.312001 | − | 0.429432i | 0.624003 | − | 0.781422i | \(-0.285505\pi\) |
−0.936004 | + | 0.351990i | \(0.885505\pi\) | |||||||
\(884\) | −41.4080 | + | 13.4543i | −0.0468416 | + | 0.0152198i | ||||
\(885\) | 334.988 | + | 26.2165i | 0.378518 | + | 0.0296231i | ||||
\(886\) | −372.353 | + | 1145.98i | −0.420263 | + | 1.29344i | ||||
\(887\) | −353.812 | − | 1088.92i | −0.398887 | − | 1.22765i | −0.925893 | − | 0.377785i | \(-0.876686\pi\) |
0.527007 | − | 0.849861i | \(-0.323314\pi\) | |||||||
\(888\) | 217.542 | − | 504.878i | 0.244979 | − | 0.568556i | ||||
\(889\) | 167.083 | − | 514.230i | 0.187945 | − | 0.578436i | ||||
\(890\) | 462.491 | − | 157.763i | 0.519652 | − | 0.177262i | ||||
\(891\) | 11.4688 | − | 7.37959i | 0.0128719 | − | 0.00828237i | ||||
\(892\) | 262.467 | + | 361.254i | 0.294245 | + | 0.404994i | ||||
\(893\) | 440.010 | 0.492732 | ||||||||
\(894\) | 694.189 | + | 64.5228i | 0.776498 | + | 0.0721732i | ||||
\(895\) | −387.443 | + | 132.163i | −0.432897 | + | 0.147668i | ||||
\(896\) | 81.8398 | − | 112.643i | 0.0913391 | − | 0.125717i | ||||
\(897\) | 62.2720 | + | 276.553i | 0.0694226 | + | 0.308309i | ||||
\(898\) | 384.611 | + | 124.968i | 0.428298 | + | 0.139162i | ||||
\(899\) | − | 954.632i | − | 1.06188i | ||||||
\(900\) | −70.7849 | − | 444.398i | −0.0786499 | − | 0.493775i | ||||
\(901\) | 286.573 | 0.318061 | ||||||||
\(902\) | 5.33586 | − | 16.4221i | 0.00591559 | − | 0.0182063i | ||||
\(903\) | 1492.38 | − | 336.042i | 1.65269 | − | 0.372140i | ||||
\(904\) | 419.080 | + | 304.479i | 0.463584 | + | 0.336813i | ||||
\(905\) | 1423.57 | − | 20.7558i | 1.57300 | − | 0.0229346i | ||||
\(906\) | −43.8139 | + | 471.385i | −0.0483597 | + | 0.520293i | ||||
\(907\) | 25.5164i | 0.0281327i | 0.999901 | + | 0.0140664i | \(0.00447761\pi\) | ||||
−0.999901 | + | 0.0140664i | \(0.995522\pi\) | |||||||
\(908\) | 501.212 | − | 364.152i | 0.551996 | − | 0.401049i | ||||
\(909\) | 150.063 | + | 316.324i | 0.165086 | + | 0.347991i | ||||
\(910\) | −246.064 | − | 173.352i | −0.270400 | − | 0.190496i | ||||
\(911\) | −1527.90 | − | 496.446i | −1.67717 | − | 0.544946i | −0.692812 | − | 0.721118i | \(-0.743629\pi\) |
−0.984359 | + | 0.176172i | \(0.943629\pi\) | |||||||
\(912\) | −136.227 | − | 58.6973i | −0.149371 | − | 0.0643611i | ||||
\(913\) | 23.3482 | − | 7.58627i | 0.0255730 | − | 0.00830917i | ||||
\(914\) | −591.600 | − | 192.223i | −0.647265 | − | 0.210309i | ||||
\(915\) | 464.835 | − | 544.735i | 0.508016 | − | 0.595339i | ||||
\(916\) | −31.3001 | − | 96.3317i | −0.0341704 | − | 0.105166i | ||||
\(917\) | −1376.03 | + | 999.742i | −1.50057 | + | 1.09023i | ||||
\(918\) | 199.398 | + | 134.145i | 0.217209 | + | 0.146127i | ||||
\(919\) | −290.444 | + | 211.020i | −0.316043 | + | 0.229619i | −0.734485 | − | 0.678625i | \(-0.762576\pi\) |
0.418442 | + | 0.908243i | \(0.362576\pi\) | |||||||
\(920\) | 114.019 | − | 369.140i | 0.123933 | − | 0.401239i | ||||
\(921\) | −113.082 | − | 502.202i | −0.122782 | − | 0.545279i | ||||
\(922\) | 328.735 | − | 452.465i | 0.356546 | − | 0.490743i | ||||
\(923\) | 27.6219 | − | 85.0113i | 0.0299262 | − | 0.0921033i | ||||
\(924\) | −8.20707 | + | 9.33855i | −0.00888211 | + | 0.0101067i | ||||
\(925\) | 989.846 | + | 1282.07i | 1.07010 | + | 1.38602i | ||||
\(926\) | − | 421.278i | − | 0.454944i | ||||||
\(927\) | −81.9993 | + | 437.297i | −0.0884566 | + | 0.471733i | ||||
\(928\) | −72.1843 | + | 99.3532i | −0.0777848 | + | 0.107062i | ||||
\(929\) | 594.325 | − | 818.018i | 0.639747 | − | 0.880536i | −0.358856 | − | 0.933393i | \(-0.616833\pi\) |
0.998602 | + | 0.0528575i | \(0.0168329\pi\) | |||||||
\(930\) | 72.7800 | − | 929.966i | 0.0782580 | − | 0.999964i | ||||
\(931\) | 1024.59 | − | 744.406i | 1.10052 | − | 0.799577i | ||||
\(932\) | 472.009 | 0.506447 | ||||||||
\(933\) | −51.1553 | − | 4.75473i | −0.0548288 | − | 0.00509618i | ||||
\(934\) | 370.840 | + | 1141.33i | 0.397045 | + | 1.22198i | ||||
\(935\) | −5.06244 | − | 1.56367i | −0.00541437 | − | 0.00167237i | ||||
\(936\) | 16.2275 | − | 86.5400i | 0.0173370 | − | 0.0924573i | ||||
\(937\) | −1349.07 | + | 438.338i | −1.43977 | + | 0.467810i | −0.921826 | − | 0.387604i | \(-0.873303\pi\) |
−0.517945 | + | 0.855414i | \(0.673303\pi\) | |||||||
\(938\) | −40.0726 | − | 123.331i | −0.0427213 | − | 0.131483i | ||||
\(939\) | 219.974 | − | 130.558i | 0.234264 | − | 0.139039i | ||||
\(940\) | 105.051 | − | 340.106i | 0.111756 | − | 0.361815i | ||||
\(941\) | −53.3869 | + | 17.3464i | −0.0567342 | + | 0.0184341i | −0.337247 | − | 0.941416i | \(-0.609496\pi\) |
0.280512 | + | 0.959850i | \(0.409496\pi\) | |||||||
\(942\) | 382.611 | + | 35.5626i | 0.406169 | + | 0.0377522i | ||||
\(943\) | − | 1981.10i | − | 2.10085i | ||||||
\(944\) | −52.6675 | − | 72.4906i | −0.0557918 | − | 0.0767909i | ||||
\(945\) | 84.1904 | + | 1659.27i | 0.0890903 | + | 1.75584i | ||||
\(946\) | −7.98163 | − | 5.79899i | −0.00843724 | − | 0.00613002i | ||||
\(947\) | −538.589 | − | 391.308i | −0.568732 | − | 0.413208i | 0.265913 | − | 0.963997i | \(-0.414327\pi\) |
−0.834644 | + | 0.550789i | \(0.814327\pi\) | |||||||
\(948\) | 111.557 | + | 187.959i | 0.117676 | + | 0.198269i | ||||
\(949\) | 452.215 | 0.476517 | ||||||||
\(950\) | 345.929 | − | 267.081i | 0.364136 | − | 0.281138i | ||||
\(951\) | 759.973 | − | 864.748i | 0.799130 | − | 0.909304i | ||||
\(952\) | −208.356 | − | 67.6990i | −0.218862 | − | 0.0711124i | ||||
\(953\) | −302.182 | − | 219.548i | −0.317085 | − | 0.230376i | 0.417846 | − | 0.908518i | \(-0.362785\pi\) |
−0.734931 | + | 0.678142i | \(0.762785\pi\) | |||||||
\(954\) | −277.599 | + | 508.721i | −0.290985 | + | 0.533251i | ||||
\(955\) | −1496.17 | − | 462.132i | −1.56667 | − | 0.483908i | ||||
\(956\) | 171.393 | + | 235.902i | 0.179281 | + | 0.246759i | ||||
\(957\) | 7.23880 | − | 8.23679i | 0.00756405 | − | 0.00860689i | ||||
\(958\) | −86.7535 | − | 119.406i | −0.0905569 | − | 0.124641i | ||||
\(959\) | −91.7924 | + | 29.8251i | −0.0957167 | + | 0.0311003i | ||||
\(960\) | −77.8938 | + | 91.2829i | −0.0811394 | + | 0.0950863i | ||||
\(961\) | 300.559 | − | 925.027i | 0.312757 | − | 0.962567i | ||||
\(962\) | 97.9334 | + | 301.408i | 0.101802 | + | 0.313314i | ||||
\(963\) | 259.243 | − | 122.984i | 0.269203 | − | 0.127709i | ||||
\(964\) | 114.516 | − | 352.445i | 0.118793 | − | 0.365607i | ||||
\(965\) | −153.640 | + | 218.084i | −0.159213 | + | 0.225994i | ||||
\(966\) | −564.438 | + | 1309.97i | −0.584305 | + | 1.35607i | ||||
\(967\) | 238.229 | + | 327.894i | 0.246359 | + | 0.339083i | 0.914232 | − | 0.405192i | \(-0.132795\pi\) |
−0.667873 | + | 0.744275i | \(0.732795\pi\) | |||||||
\(968\) | −342.160 | −0.353471 | ||||||||
\(969\) | −21.6005 | + | 232.396i | −0.0222915 | + | 0.239831i | ||||
\(970\) | 14.6998 | + | 1008.21i | 0.0151544 | + | 1.03939i | ||||
\(971\) | −456.401 | + | 628.183i | −0.470032 | + | 0.646944i | −0.976551 | − | 0.215285i | \(-0.930932\pi\) |
0.506519 | + | 0.862229i | \(0.330932\pi\) | |||||||
\(972\) | −431.287 | + | 224.025i | −0.443711 | + | 0.230479i | ||||
\(973\) | −1664.10 | − | 540.698i | −1.71027 | − | 0.555702i | ||||
\(974\) | 390.939i | 0.401375i | ||||||||
\(975\) | 199.768 | + | 165.495i | 0.204891 | + | 0.169739i | ||||
\(976\) | −190.962 | −0.195657 | ||||||||
\(977\) | 323.009 | − | 994.119i | 0.330613 | − | 1.01752i | −0.638230 | − | 0.769846i | \(-0.720333\pi\) |
0.968843 | − | 0.247676i | \(-0.0796669\pi\) | |||||||
\(978\) | 188.046 | + | 835.120i | 0.192276 | + | 0.853906i | ||||
\(979\) | 9.41327 | + | 6.83914i | 0.00961519 | + | 0.00698584i | ||||
\(980\) | −330.773 | − | 969.680i | −0.337524 | − | 0.989469i | ||||
\(981\) | 657.813 | + | 696.115i | 0.670553 | + | 0.709597i | ||||
\(982\) | 340.439i | 0.346679i | ||||||||
\(983\) | 936.993 | − | 680.765i | 0.953197 | − | 0.692538i | 0.00163645 | − | 0.999999i | \(-0.499479\pi\) |
0.951561 | + | 0.307460i | \(0.0994791\pi\) | |||||||
\(984\) | −243.493 | + | 565.107i | −0.247452 | + | 0.574296i | ||||
\(985\) | 285.341 | + | 836.493i | 0.289686 | + | 0.849232i | ||||
\(986\) | 183.774 | + | 59.7119i | 0.186384 | + | 0.0605597i | ||||
\(987\) | −520.044 | + | 1206.94i | −0.526894 | + | 1.22283i | ||||
\(988\) | 81.3262 | − | 26.4245i | 0.0823140 | − | 0.0267454i | ||||
\(989\) | −1076.53 | − | 349.785i | −1.08850 | − | 0.353676i | ||||
\(990\) | 7.67972 | − | 7.47209i | 0.00775730 | − | 0.00754756i | ||||
\(991\) | 427.753 | + | 1316.49i | 0.431638 | + | 1.32845i | 0.896493 | + | 0.443059i | \(0.146107\pi\) |
−0.464854 | + | 0.885387i | \(0.653893\pi\) | |||||||
\(992\) | −201.242 | + | 146.211i | −0.202865 | + | 0.147390i | ||||
\(993\) | −663.869 | + | 755.394i | −0.668549 | + | 0.760719i | ||||
\(994\) | 363.873 | − | 264.370i | 0.366070 | − | 0.265965i | ||||
\(995\) | 525.354 | + | 370.111i | 0.527994 | + | 0.371971i | ||||
\(996\) | −853.483 | + | 192.181i | −0.856910 | + | 0.192952i | ||||
\(997\) | 74.8515 | − | 103.024i | 0.0750768 | − | 0.103334i | −0.769827 | − | 0.638253i | \(-0.779658\pi\) |
0.844904 | + | 0.534918i | \(0.179658\pi\) | |||||||
\(998\) | −254.491 | + | 783.242i | −0.255001 | + | 0.784811i | ||||
\(999\) | 976.439 | − | 1451.42i | 0.977416 | − | 1.45287i |
(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 | 150.3.i.a.29.10 | ✓ | 80 | |
3.2 | odd | 2 | inner | 150.3.i.a.29.15 | yes | 80 | |
25.19 | even | 10 | inner | 150.3.i.a.119.15 | yes | 80 | |
75.44 | odd | 10 | inner | 150.3.i.a.119.10 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.3.i.a.29.10 | ✓ | 80 | 1.1 | even | 1 | trivial | |
150.3.i.a.29.15 | yes | 80 | 3.2 | odd | 2 | inner | |
150.3.i.a.119.10 | yes | 80 | 75.44 | odd | 10 | inner | |
150.3.i.a.119.15 | yes | 80 | 25.19 | even | 10 | inner |