Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,4,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(10.4433380710\) |
Analytic rank: | \(0\) |
Dimension: | \(420\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 133.14 | ||
Character | \(\chi\) | \(=\) | 177.133 |
Dual form | 177.4.e.a.4.14 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{28}{29}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.44507 | − | 0.483430i | 1.57157 | − | 0.170918i | 0.719554 | − | 0.694436i | \(-0.244346\pi\) |
0.852015 | + | 0.523518i | \(0.175381\pi\) | |||||||
\(3\) | −1.94216 | − | 2.28649i | −0.373769 | − | 0.440034i | ||||
\(4\) | 11.7120 | − | 2.57800i | 1.46400 | − | 0.322250i | ||||
\(5\) | 8.85655 | − | 6.73258i | 0.792154 | − | 0.602180i | −0.128881 | − | 0.991660i | \(-0.541138\pi\) |
0.921035 | + | 0.389480i | \(0.127345\pi\) | |||||||
\(6\) | −9.73839 | − | 9.22469i | −0.662613 | − | 0.627661i | ||||
\(7\) | −9.70013 | − | 24.3455i | −0.523758 | − | 1.31453i | −0.918384 | − | 0.395691i | \(-0.870505\pi\) |
0.394626 | − | 0.918842i | \(-0.370874\pi\) | |||||||
\(8\) | 16.9165 | − | 5.69982i | 0.747609 | − | 0.251899i | ||||
\(9\) | −1.45604 | + | 8.88144i | −0.0539273 | + | 0.328942i | ||||
\(10\) | 36.1133 | − | 34.2083i | 1.14200 | − | 1.08176i | ||||
\(11\) | 1.10339 | + | 0.510481i | 0.0302440 | + | 0.0139923i | 0.434953 | − | 0.900453i | \(-0.356765\pi\) |
−0.404709 | + | 0.914446i | \(0.632627\pi\) | |||||||
\(12\) | −28.6411 | − | 21.7724i | −0.688997 | − | 0.523762i | ||||
\(13\) | 7.69977 | + | 46.9665i | 0.164272 | + | 1.00201i | 0.932324 | + | 0.361625i | \(0.117778\pi\) |
−0.768052 | + | 0.640388i | \(0.778774\pi\) | |||||||
\(14\) | −54.8871 | − | 103.528i | −1.04780 | − | 1.97636i | ||||
\(15\) | −32.5948 | − | 7.17465i | −0.561062 | − | 0.123499i | ||||
\(16\) | −14.6323 | + | 6.76963i | −0.228630 | + | 0.105775i | ||||
\(17\) | 38.0786 | − | 95.5702i | 0.543260 | − | 1.36348i | −0.359423 | − | 0.933175i | \(-0.617026\pi\) |
0.902683 | − | 0.430306i | \(-0.141594\pi\) | |||||||
\(18\) | −2.17863 | + | 40.1825i | −0.0285282 | + | 0.526173i | ||||
\(19\) | 41.8049 | − | 61.6577i | 0.504774 | − | 0.744486i | −0.486872 | − | 0.873473i | \(-0.661862\pi\) |
0.991646 | + | 0.128987i | \(0.0411726\pi\) | |||||||
\(20\) | 86.3711 | − | 101.684i | 0.965658 | − | 1.13686i | ||||
\(21\) | −36.8264 | + | 69.4620i | −0.382676 | + | 0.721803i | ||||
\(22\) | 5.15141 | + | 1.73571i | 0.0499220 | + | 0.0168207i | ||||
\(23\) | 4.13809 | + | 76.3226i | 0.0375153 | + | 0.691928i | 0.955442 | + | 0.295179i | \(0.0953792\pi\) |
−0.917927 | + | 0.396750i | \(0.870138\pi\) | |||||||
\(24\) | −45.8870 | − | 27.6093i | −0.390277 | − | 0.234822i | ||||
\(25\) | −0.330111 | + | 1.18895i | −0.00264089 | + | 0.00951162i | ||||
\(26\) | 56.9310 | + | 205.047i | 0.429427 | + | 1.54666i | ||||
\(27\) | 23.1351 | − | 13.9200i | 0.164902 | − | 0.0992184i | ||||
\(28\) | −176.370 | − | 260.127i | −1.19039 | − | 1.75569i | ||||
\(29\) | 272.492 | + | 29.6353i | 1.74485 | + | 0.189764i | 0.924261 | − | 0.381760i | \(-0.124682\pi\) |
0.820585 | + | 0.571524i | \(0.193648\pi\) | |||||||
\(30\) | −148.354 | − | 16.1345i | −0.902856 | − | 0.0981916i | ||||
\(31\) | 88.3519 | + | 130.309i | 0.511886 | + | 0.754975i | 0.992538 | − | 0.121936i | \(-0.0389103\pi\) |
−0.480652 | + | 0.876911i | \(0.659600\pi\) | |||||||
\(32\) | −184.134 | + | 110.790i | −1.01721 | + | 0.612034i | ||||
\(33\) | −0.975744 | − | 3.51431i | −0.00514713 | − | 0.0185383i | ||||
\(34\) | 123.061 | − | 443.224i | 0.620727 | − | 2.23566i | ||||
\(35\) | −249.818 | − | 150.310i | −1.20648 | − | 0.725916i | ||||
\(36\) | 5.84327 | + | 107.773i | 0.0270522 | + | 0.498948i | ||||
\(37\) | 32.6396 | + | 10.9975i | 0.145025 | + | 0.0488645i | 0.390878 | − | 0.920443i | \(-0.372172\pi\) |
−0.245853 | + | 0.969307i | \(0.579068\pi\) | |||||||
\(38\) | 156.019 | − | 294.282i | 0.666041 | − | 1.25629i | ||||
\(39\) | 92.4341 | − | 108.822i | 0.379521 | − | 0.446806i | ||||
\(40\) | 111.447 | − | 164.372i | 0.440533 | − | 0.649738i | ||||
\(41\) | 4.51531 | − | 83.2800i | 0.0171993 | − | 0.317223i | −0.977256 | − | 0.212063i | \(-0.931982\pi\) |
0.994455 | − | 0.105160i | \(-0.0335355\pi\) | |||||||
\(42\) | −130.116 | + | 326.567i | −0.478032 | + | 1.19977i | ||||
\(43\) | −269.710 | + | 124.781i | −0.956520 | + | 0.442533i | −0.835118 | − | 0.550070i | \(-0.814601\pi\) |
−0.121401 | + | 0.992603i | \(0.538739\pi\) | |||||||
\(44\) | 14.2388 | + | 3.13421i | 0.0487861 | + | 0.0107386i | ||||
\(45\) | 46.8995 | + | 88.4618i | 0.155364 | + | 0.293047i | ||||
\(46\) | 55.2907 | + | 337.259i | 0.177221 | + | 1.08100i | ||||
\(47\) | −41.1233 | − | 31.2611i | −0.127627 | − | 0.0970193i | 0.539414 | − | 0.842041i | \(-0.318646\pi\) |
−0.667040 | + | 0.745022i | \(0.732439\pi\) | |||||||
\(48\) | 43.8969 | + | 20.3089i | 0.131999 | + | 0.0610695i | ||||
\(49\) | −249.594 | + | 236.428i | −0.727679 | + | 0.689294i | ||||
\(50\) | −0.892591 | + | 5.44456i | −0.00252463 | + | 0.0153995i | ||||
\(51\) | −292.475 | + | 98.5462i | −0.803032 | + | 0.270573i | ||||
\(52\) | 211.259 | + | 530.220i | 0.563392 | + | 1.41401i | ||||
\(53\) | 437.551 | + | 414.470i | 1.13400 | + | 1.07419i | 0.996492 | + | 0.0836849i | \(0.0266689\pi\) |
0.137511 | + | 0.990500i | \(0.456090\pi\) | |||||||
\(54\) | 96.1080 | − | 73.0594i | 0.242197 | − | 0.184113i | ||||
\(55\) | 13.2090 | − | 2.90753i | 0.0323838 | − | 0.00712821i | ||||
\(56\) | −302.857 | − | 356.550i | −0.722695 | − | 0.850822i | ||||
\(57\) | −222.171 | + | 24.1626i | −0.516268 | + | 0.0561476i | ||||
\(58\) | 1225.57 | 2.77458 | ||||||||
\(59\) | −361.767 | + | 272.953i | −0.798273 | + | 0.602296i | ||||
\(60\) | −400.245 | −0.861191 | ||||||||
\(61\) | −226.915 | + | 24.6785i | −0.476287 | + | 0.0517993i | −0.343115 | − | 0.939294i | \(-0.611482\pi\) |
−0.133172 | + | 0.991093i | \(0.542516\pi\) | |||||||
\(62\) | 455.726 | + | 536.522i | 0.933504 | + | 1.09901i | ||||
\(63\) | 230.347 | − | 50.7031i | 0.460650 | − | 0.101397i | ||||
\(64\) | −662.251 | + | 503.430i | −1.29346 | + | 0.983262i | ||||
\(65\) | 384.399 | + | 364.122i | 0.733520 | + | 0.694827i | ||||
\(66\) | −6.03618 | − | 15.1497i | −0.0112576 | − | 0.0282545i | ||||
\(67\) | −275.393 | + | 92.7907i | −0.502158 | + | 0.169197i | −0.558970 | − | 0.829188i | \(-0.688803\pi\) |
0.0568113 | + | 0.998385i | \(0.481907\pi\) | |||||||
\(68\) | 199.596 | − | 1217.48i | 0.355950 | − | 2.17120i | ||||
\(69\) | 166.474 | − | 157.692i | 0.290450 | − | 0.275129i | ||||
\(70\) | −1183.12 | − | 547.370i | −2.02014 | − | 0.934617i | ||||
\(71\) | 96.3412 | + | 73.2367i | 0.161037 | + | 0.122417i | 0.682589 | − | 0.730802i | \(-0.260854\pi\) |
−0.521553 | + | 0.853219i | \(0.674647\pi\) | |||||||
\(72\) | 25.9916 | + | 158.542i | 0.0425436 | + | 0.259504i | ||||
\(73\) | 486.250 | + | 917.165i | 0.779607 | + | 1.47049i | 0.879707 | + | 0.475517i | \(0.157739\pi\) |
−0.100100 | + | 0.994977i | \(0.531916\pi\) | |||||||
\(74\) | 150.402 | + | 33.1059i | 0.236268 | + | 0.0520065i | ||||
\(75\) | 3.35965 | − | 1.55434i | 0.00517252 | − | 0.00239306i | ||||
\(76\) | 330.665 | − | 829.906i | 0.499077 | − | 1.25259i | ||||
\(77\) | 1.72492 | − | 31.8142i | 0.00255289 | − | 0.0470853i | ||||
\(78\) | 358.268 | − | 528.406i | 0.520075 | − | 0.767054i | ||||
\(79\) | 507.083 | − | 596.984i | 0.722168 | − | 0.850202i | −0.271514 | − | 0.962435i | \(-0.587524\pi\) |
0.993682 | + | 0.112233i | \(0.0358002\pi\) | |||||||
\(80\) | −84.0148 | + | 158.469i | −0.117414 | + | 0.221467i | ||||
\(81\) | −76.7599 | − | 25.8634i | −0.105295 | − | 0.0354779i | ||||
\(82\) | −20.1892 | − | 372.368i | −0.0271894 | − | 0.501478i | ||||
\(83\) | −841.508 | − | 506.319i | −1.11286 | − | 0.669587i | −0.164373 | − | 0.986398i | \(-0.552560\pi\) |
−0.948489 | + | 0.316812i | \(0.897388\pi\) | |||||||
\(84\) | −252.237 | + | 908.476i | −0.327635 | + | 1.18003i | ||||
\(85\) | −306.188 | − | 1102.79i | −0.390715 | − | 1.40723i | ||||
\(86\) | −1138.56 | + | 685.046i | −1.42760 | + | 0.858959i | ||||
\(87\) | −461.463 | − | 680.606i | −0.568666 | − | 0.838720i | ||||
\(88\) | 21.5750 | + | 2.34643i | 0.0261353 | + | 0.00284239i | ||||
\(89\) | 350.472 | + | 38.1162i | 0.417416 | + | 0.0453967i | 0.314417 | − | 0.949285i | \(-0.398191\pi\) |
0.102998 | + | 0.994682i | \(0.467156\pi\) | |||||||
\(90\) | 251.237 | + | 370.546i | 0.294252 | + | 0.433989i | ||||
\(91\) | 1068.73 | − | 643.036i | 1.23114 | − | 0.740752i | ||||
\(92\) | 245.225 | + | 883.220i | 0.277896 | + | 1.00089i | ||||
\(93\) | 126.357 | − | 455.097i | 0.140888 | − | 0.507434i | ||||
\(94\) | −197.909 | − | 119.078i | −0.217157 | − | 0.130659i | ||||
\(95\) | −44.8673 | − | 827.529i | −0.0484557 | − | 0.893712i | ||||
\(96\) | 610.938 | + | 205.849i | 0.649516 | + | 0.218848i | ||||
\(97\) | 409.148 | − | 771.735i | 0.428275 | − | 0.807813i | −0.571644 | − | 0.820502i | \(-0.693694\pi\) |
0.999919 | + | 0.0126887i | \(0.00403906\pi\) | |||||||
\(98\) | −995.166 | + | 1171.60i | −1.02578 | + | 1.20765i | ||||
\(99\) | −6.14038 | + | 9.05638i | −0.00623365 | + | 0.00919394i | ||||
\(100\) | −0.801132 | + | 14.7760i | −0.000801132 | + | 0.0147760i | ||||
\(101\) | −189.140 | + | 474.706i | −0.186338 | + | 0.467674i | −0.992234 | − | 0.124383i | \(-0.960305\pi\) |
0.805896 | + | 0.592057i | \(0.201684\pi\) | |||||||
\(102\) | −1252.43 | + | 579.436i | −1.21577 | + | 0.562477i | ||||
\(103\) | 1489.56 | + | 327.876i | 1.42495 | + | 0.313656i | 0.859505 | − | 0.511127i | \(-0.170772\pi\) |
0.565449 | + | 0.824783i | \(0.308703\pi\) | |||||||
\(104\) | 397.953 | + | 750.620i | 0.375217 | + | 0.707734i | ||||
\(105\) | 141.503 | + | 863.131i | 0.131517 | + | 0.802218i | ||||
\(106\) | 2145.31 | + | 1630.82i | 1.96576 | + | 1.49433i | ||||
\(107\) | −1042.68 | − | 482.396i | −0.942055 | − | 0.435841i | −0.112116 | − | 0.993695i | \(-0.535763\pi\) |
−0.829939 | + | 0.557854i | \(0.811625\pi\) | |||||||
\(108\) | 235.072 | − | 222.672i | 0.209443 | − | 0.198395i | ||||
\(109\) | 261.702 | − | 1596.31i | 0.229968 | − | 1.40274i | −0.579211 | − | 0.815178i | \(-0.696639\pi\) |
0.809178 | − | 0.587563i | \(-0.199913\pi\) | |||||||
\(110\) | 57.3096 | − | 19.3098i | 0.0496750 | − | 0.0167375i | ||||
\(111\) | −38.2455 | − | 95.9889i | −0.0327036 | − | 0.0820798i | ||||
\(112\) | 306.745 | + | 290.564i | 0.258792 | + | 0.245141i | ||||
\(113\) | −1776.65 | + | 1350.58i | −1.47906 | + | 1.12435i | −0.515486 | + | 0.856898i | \(0.672389\pi\) |
−0.963571 | + | 0.267453i | \(0.913818\pi\) | |||||||
\(114\) | −975.885 | + | 214.809i | −0.801755 | + | 0.176480i | ||||
\(115\) | 550.497 | + | 648.095i | 0.446383 | + | 0.525523i | ||||
\(116\) | 3267.82 | − | 355.397i | 2.61560 | − | 0.284464i | ||||
\(117\) | −428.341 | −0.338463 | ||||||||
\(118\) | −1476.13 | + | 1388.18i | −1.15160 | + | 1.08299i | ||||
\(119\) | −2696.07 | −2.07688 | ||||||||
\(120\) | −592.282 | + | 64.4146i | −0.450564 | + | 0.0490018i | ||||
\(121\) | −860.714 | − | 1013.31i | −0.646667 | − | 0.761316i | ||||
\(122\) | −996.723 | + | 219.395i | −0.739665 | + | 0.162812i | ||||
\(123\) | −199.188 | + | 151.419i | −0.146018 | + | 0.111000i | ||||
\(124\) | 1370.71 | + | 1298.41i | 0.992690 | + | 0.940326i | ||||
\(125\) | 519.805 | + | 1304.61i | 0.371942 | + | 0.933505i | ||||
\(126\) | 999.396 | − | 336.736i | 0.706613 | − | 0.238086i | ||||
\(127\) | 143.867 | − | 877.551i | 0.100521 | − | 0.613150i | −0.887737 | − | 0.460352i | \(-0.847723\pi\) |
0.988257 | − | 0.152798i | \(-0.0488284\pi\) | |||||||
\(128\) | −1452.28 | + | 1375.67i | −1.00285 | + | 0.949946i | ||||
\(129\) | 809.129 | + | 374.343i | 0.552247 | + | 0.255497i | ||||
\(130\) | 1884.71 | + | 1432.72i | 1.27154 | + | 0.966597i | ||||
\(131\) | −107.955 | − | 658.498i | −0.0720007 | − | 0.439185i | −0.998084 | − | 0.0618668i | \(-0.980295\pi\) |
0.926084 | − | 0.377318i | \(-0.123154\pi\) | |||||||
\(132\) | −20.4878 | − | 38.6441i | −0.0135093 | − | 0.0254813i | ||||
\(133\) | −1906.60 | − | 419.674i | −1.24303 | − | 0.273612i | ||||
\(134\) | −1179.28 | + | 545.594i | −0.760258 | + | 0.351733i | ||||
\(135\) | 111.180 | − | 279.042i | 0.0708807 | − | 0.177897i | ||||
\(136\) | 99.4230 | − | 1833.75i | 0.0626872 | − | 1.15620i | ||||
\(137\) | 49.0505 | − | 72.3441i | 0.0305888 | − | 0.0451151i | −0.812087 | − | 0.583536i | \(-0.801669\pi\) |
0.842676 | + | 0.538421i | \(0.180979\pi\) | |||||||
\(138\) | 663.754 | − | 781.431i | 0.409438 | − | 0.482028i | ||||
\(139\) | 302.199 | − | 570.008i | 0.184404 | − | 0.347823i | −0.774024 | − | 0.633156i | \(-0.781759\pi\) |
0.958429 | + | 0.285333i | \(0.0921041\pi\) | |||||||
\(140\) | −3313.36 | − | 1116.40i | −2.00021 | − | 0.673950i | ||||
\(141\) | 8.38987 | + | 154.742i | 0.00501102 | + | 0.0924229i | ||||
\(142\) | 463.648 | + | 278.968i | 0.274003 | + | 0.164862i | ||||
\(143\) | −15.4797 | + | 55.7528i | −0.00905228 | + | 0.0326034i | ||||
\(144\) | −38.8188 | − | 139.813i | −0.0224646 | − | 0.0809102i | ||||
\(145\) | 2612.86 | − | 1572.11i | 1.49646 | − | 0.900390i | ||||
\(146\) | 2604.80 | + | 3841.79i | 1.47654 | + | 2.17773i | ||||
\(147\) | 1025.34 | + | 111.512i | 0.575297 | + | 0.0625673i | ||||
\(148\) | 410.625 | + | 44.6582i | 0.228062 | + | 0.0248032i | ||||
\(149\) | −794.997 | − | 1172.53i | −0.437105 | − | 0.644682i | 0.543789 | − | 0.839222i | \(-0.316989\pi\) |
−0.980895 | + | 0.194540i | \(0.937679\pi\) | |||||||
\(150\) | 14.1825 | − | 8.53331i | 0.00771996 | − | 0.00464494i | ||||
\(151\) | −617.169 | − | 2222.84i | −0.332613 | − | 1.19796i | −0.921058 | − | 0.389426i | \(-0.872674\pi\) |
0.588445 | − | 0.808537i | \(-0.299740\pi\) | |||||||
\(152\) | 355.754 | − | 1281.31i | 0.189838 | − | 0.683736i | ||||
\(153\) | 793.357 | + | 477.347i | 0.419210 | + | 0.252230i | ||||
\(154\) | −7.71258 | − | 142.250i | −0.00403570 | − | 0.0744341i | ||||
\(155\) | 1659.81 | + | 559.255i | 0.860123 | + | 0.289809i | ||||
\(156\) | 802.043 | − | 1512.81i | 0.411633 | − | 0.776423i | ||||
\(157\) | −1005.40 | + | 1183.65i | −0.511082 | + | 0.601693i | −0.955814 | − | 0.293971i | \(-0.905023\pi\) |
0.444732 | + | 0.895664i | \(0.353299\pi\) | |||||||
\(158\) | 1965.42 | − | 2898.77i | 0.989622 | − | 1.45958i | ||||
\(159\) | 97.8870 | − | 1805.42i | 0.0488235 | − | 0.900497i | ||||
\(160\) | −884.893 | + | 2220.91i | −0.437231 | + | 1.09737i | ||||
\(161\) | 1817.97 | − | 841.083i | 0.889914 | − | 0.411718i | ||||
\(162\) | −353.706 | − | 77.8566i | −0.171542 | − | 0.0377592i | ||||
\(163\) | −782.046 | − | 1475.10i | −0.375795 | − | 0.708824i | 0.621414 | − | 0.783482i | \(-0.286558\pi\) |
−0.997209 | + | 0.0746577i | \(0.976214\pi\) | |||||||
\(164\) | −161.813 | − | 987.014i | −0.0770454 | − | 0.469956i | ||||
\(165\) | −32.3021 | − | 24.5554i | −0.0152407 | − | 0.0115857i | ||||
\(166\) | −3985.33 | − | 1843.81i | −1.86338 | − | 0.862093i | ||||
\(167\) | 1704.39 | − | 1614.49i | 0.789760 | − | 0.748100i | −0.182196 | − | 0.983262i | \(-0.558321\pi\) |
0.971956 | + | 0.235162i | \(0.0755620\pi\) | |||||||
\(168\) | −227.052 | + | 1384.96i | −0.104270 | + | 0.636022i | ||||
\(169\) | −64.5723 | + | 21.7569i | −0.0293911 | + | 0.00990302i | ||||
\(170\) | −1894.15 | − | 4753.96i | −0.854556 | − | 2.14477i | ||||
\(171\) | 486.739 | + | 461.064i | 0.217672 | + | 0.206190i | ||||
\(172\) | −2837.15 | + | 2156.74i | −1.25774 | + | 0.956106i | ||||
\(173\) | −3333.01 | + | 733.651i | −1.46476 | + | 0.322419i | −0.874592 | − | 0.484859i | \(-0.838871\pi\) |
−0.590171 | + | 0.807278i | \(0.700940\pi\) | |||||||
\(174\) | −2380.26 | − | 2802.26i | −1.03705 | − | 1.22091i | ||||
\(175\) | 32.1477 | − | 3.49628i | 0.0138865 | − | 0.00151025i | ||||
\(176\) | −19.6009 | −0.00839472 | ||||||||
\(177\) | 1326.71 | + | 297.058i | 0.563400 | + | 0.126148i | ||||
\(178\) | 1576.30 | 0.663757 | ||||||||
\(179\) | −2731.69 | + | 297.089i | −1.14065 | + | 0.124053i | −0.658881 | − | 0.752247i | \(-0.728970\pi\) |
−0.481766 | + | 0.876300i | \(0.660004\pi\) | |||||||
\(180\) | 777.340 | + | 915.155i | 0.321886 | + | 0.378954i | ||||
\(181\) | 2693.94 | − | 592.981i | 1.10629 | − | 0.243514i | 0.375981 | − | 0.926627i | \(-0.377306\pi\) |
0.730312 | + | 0.683114i | \(0.239375\pi\) | |||||||
\(182\) | 4439.73 | − | 3375.00i | 1.80821 | − | 1.37457i | ||||
\(183\) | 497.132 | + | 470.909i | 0.200815 | + | 0.190222i | ||||
\(184\) | 505.027 | + | 1267.52i | 0.202343 | + | 0.507842i | ||||
\(185\) | 363.116 | − | 122.348i | 0.144307 | − | 0.0486227i | ||||
\(186\) | 341.658 | − | 2084.02i | 0.134686 | − | 0.821547i | ||||
\(187\) | 90.8022 | − | 86.0124i | 0.0355086 | − | 0.0336356i | ||||
\(188\) | −562.226 | − | 260.114i | −0.218109 | − | 0.100908i | ||||
\(189\) | −563.302 | − | 428.211i | −0.216795 | − | 0.164803i | ||||
\(190\) | −599.491 | − | 3656.73i | −0.228903 | − | 1.39625i | ||||
\(191\) | 938.470 | + | 1770.14i | 0.355525 | + | 0.670592i | 0.995179 | − | 0.0980712i | \(-0.0312673\pi\) |
−0.639654 | + | 0.768663i | \(0.720922\pi\) | |||||||
\(192\) | 2437.28 | + | 536.486i | 0.916124 | + | 0.201654i | ||||
\(193\) | −1604.13 | + | 742.149i | −0.598279 | + | 0.276793i | −0.695565 | − | 0.718463i | \(-0.744846\pi\) |
0.0972863 | + | 0.995256i | \(0.468984\pi\) | |||||||
\(194\) | 1445.61 | − | 3628.21i | 0.534994 | − | 1.34273i | ||||
\(195\) | 85.9961 | − | 1586.11i | 0.0315811 | − | 0.582479i | ||||
\(196\) | −2313.73 | + | 3412.49i | −0.843194 | + | 1.24362i | ||||
\(197\) | −1944.63 | + | 2289.39i | −0.703294 | + | 0.827982i | −0.991571 | − | 0.129565i | \(-0.958642\pi\) |
0.288277 | + | 0.957547i | \(0.406918\pi\) | |||||||
\(198\) | −22.9163 | + | 43.2247i | −0.00822520 | + | 0.0155144i | ||||
\(199\) | −608.015 | − | 204.864i | −0.216588 | − | 0.0729770i | 0.208916 | − | 0.977934i | \(-0.433007\pi\) |
−0.425504 | + | 0.904957i | \(0.639903\pi\) | |||||||
\(200\) | 1.19250 | + | 21.9944i | 0.000421614 | + | 0.00777621i | ||||
\(201\) | 747.022 | + | 449.468i | 0.262144 | + | 0.157727i | ||||
\(202\) | −611.254 | + | 2201.54i | −0.212909 | + | 0.766830i | ||||
\(203\) | −1921.72 | − | 6921.43i | −0.664427 | − | 2.39305i | ||||
\(204\) | −3171.40 | + | 1908.17i | −1.08844 | + | 0.654895i | ||||
\(205\) | −520.699 | − | 767.973i | −0.177401 | − | 0.261647i | ||||
\(206\) | 6779.68 | + | 737.335i | 2.29302 | + | 0.249381i | ||||
\(207\) | −683.879 | − | 74.3764i | −0.229628 | − | 0.0249735i | ||||
\(208\) | −430.611 | − | 635.104i | −0.143546 | − | 0.211714i | ||||
\(209\) | 77.6020 | − | 46.6916i | 0.0256835 | − | 0.0154532i | ||||
\(210\) | 1046.25 | + | 3768.27i | 0.343802 | + | 1.23826i | ||||
\(211\) | 270.273 | − | 973.436i | 0.0881818 | − | 0.317602i | −0.906283 | − | 0.422671i | \(-0.861093\pi\) |
0.994465 | + | 0.105069i | \(0.0335063\pi\) | |||||||
\(212\) | 6193.08 | + | 3726.25i | 2.00633 | + | 1.20717i | ||||
\(213\) | −19.6553 | − | 362.520i | −0.00632280 | − | 0.116617i | ||||
\(214\) | −4868.00 | − | 1640.22i | −1.55500 | − | 0.523940i | ||||
\(215\) | −1548.60 | + | 2920.97i | −0.491226 | + | 0.926551i | ||||
\(216\) | 312.023 | − | 367.342i | 0.0982894 | − | 0.115715i | ||||
\(217\) | 2315.42 | − | 3414.99i | 0.724336 | − | 1.06832i | ||||
\(218\) | 391.577 | − | 7222.22i | 0.121656 | − | 2.24381i | ||||
\(219\) | 1152.71 | − | 2893.08i | 0.355676 | − | 0.892678i | ||||
\(220\) | 147.208 | − | 68.1059i | 0.0451127 | − | 0.0208713i | ||||
\(221\) | 4781.79 | + | 1052.55i | 1.45547 | + | 0.320373i | ||||
\(222\) | −216.408 | − | 408.188i | −0.0654249 | − | 0.123404i | ||||
\(223\) | 690.282 | + | 4210.54i | 0.207286 | + | 1.26439i | 0.861375 | + | 0.507970i | \(0.169604\pi\) |
−0.654089 | + | 0.756418i | \(0.726948\pi\) | |||||||
\(224\) | 4483.36 | + | 3408.16i | 1.33731 | + | 1.01660i | ||||
\(225\) | −10.0790 | − | 4.66302i | −0.00298636 | − | 0.00138164i | ||||
\(226\) | −7244.44 | + | 6862.30i | −2.13227 | + | 2.01979i | ||||
\(227\) | −1019.58 | + | 6219.18i | −0.298115 | + | 1.81842i | 0.234560 | + | 0.972102i | \(0.424635\pi\) |
−0.532675 | + | 0.846320i | \(0.678813\pi\) | |||||||
\(228\) | −2539.77 | + | 855.749i | −0.737721 | + | 0.248567i | ||||
\(229\) | 1639.61 | + | 4115.10i | 0.473136 | + | 1.18748i | 0.951039 | + | 0.309069i | \(0.100018\pi\) |
−0.477903 | + | 0.878412i | \(0.658603\pi\) | |||||||
\(230\) | 2760.30 | + | 2614.70i | 0.791344 | + | 0.749601i | ||||
\(231\) | −76.0928 | + | 57.8443i | −0.0216733 | + | 0.0164756i | ||||
\(232\) | 4778.52 | − | 1051.83i | 1.35226 | − | 0.297656i | ||||
\(233\) | 711.804 | + | 838.000i | 0.200137 | + | 0.235619i | 0.853070 | − | 0.521796i | \(-0.174738\pi\) |
−0.652934 | + | 0.757415i | \(0.726462\pi\) | |||||||
\(234\) | −1904.01 | + | 207.073i | −0.531918 | + | 0.0578496i | ||||
\(235\) | −574.679 | −0.159523 | ||||||||
\(236\) | −3533.34 | + | 4129.45i | −0.974579 | + | 1.13900i | ||||
\(237\) | −2349.83 | −0.644042 | ||||||||
\(238\) | −11984.2 | + | 1303.36i | −3.26396 | + | 0.354977i | ||||
\(239\) | 1187.10 | + | 1397.57i | 0.321286 | + | 0.378247i | 0.898968 | − | 0.438015i | \(-0.144318\pi\) |
−0.577682 | + | 0.816262i | \(0.696042\pi\) | |||||||
\(240\) | 525.506 | − | 115.673i | 0.141339 | − | 0.0311110i | ||||
\(241\) | −2282.61 | + | 1735.19i | −0.610107 | + | 0.463791i | −0.864035 | − | 0.503432i | \(-0.832070\pi\) |
0.253928 | + | 0.967223i | \(0.418277\pi\) | |||||||
\(242\) | −4315.80 | − | 4088.14i | −1.14641 | − | 1.08593i | ||||
\(243\) | 89.9436 | + | 225.741i | 0.0237444 | + | 0.0595939i | ||||
\(244\) | −2594.00 | + | 874.021i | −0.680590 | + | 0.229317i | ||||
\(245\) | −618.773 | + | 3774.35i | −0.161355 | + | 0.984221i | ||||
\(246\) | −812.204 | + | 769.361i | −0.210505 | + | 0.199401i | ||||
\(247\) | 3217.73 | + | 1488.68i | 0.828905 | + | 0.383492i | ||||
\(248\) | 2237.34 | + | 1700.78i | 0.572868 | + | 0.435483i | ||||
\(249\) | 476.652 | + | 2907.45i | 0.121312 | + | 0.739968i | ||||
\(250\) | 2941.26 | + | 5547.81i | 0.744087 | + | 1.40350i | ||||
\(251\) | 5086.57 | + | 1119.64i | 1.27913 | + | 0.281558i | 0.802026 | − | 0.597289i | \(-0.203756\pi\) |
0.477104 | + | 0.878847i | \(0.341687\pi\) | |||||||
\(252\) | 2567.10 | − | 1187.67i | 0.641715 | − | 0.296889i | ||||
\(253\) | −34.3953 | + | 86.3257i | −0.00854709 | + | 0.0214516i | ||||
\(254\) | 215.265 | − | 3970.32i | 0.0531768 | − | 0.980788i | ||||
\(255\) | −1926.85 | + | 2841.89i | −0.473192 | + | 0.697905i | ||||
\(256\) | −1482.06 | + | 1744.82i | −0.361832 | + | 0.425981i | ||||
\(257\) | 3374.21 | − | 6364.43i | 0.818977 | − | 1.54476i | −0.0194940 | − | 0.999810i | \(-0.506206\pi\) |
0.838472 | − | 0.544945i | \(-0.183450\pi\) | |||||||
\(258\) | 3777.60 | + | 1272.82i | 0.911564 | + | 0.307142i | ||||
\(259\) | −48.8673 | − | 901.304i | −0.0117238 | − | 0.216233i | ||||
\(260\) | 5440.78 | + | 3273.61i | 1.29778 | + | 0.780848i | ||||
\(261\) | −659.963 | + | 2376.97i | −0.156516 | + | 0.563720i | ||||
\(262\) | −798.206 | − | 2874.88i | −0.188219 | − | 0.677903i | ||||
\(263\) | −3707.80 | + | 2230.91i | −0.869327 | + | 0.523056i | −0.878959 | − | 0.476897i | \(-0.841761\pi\) |
0.00963252 | + | 0.999954i | \(0.496934\pi\) | |||||||
\(264\) | −36.5371 | − | 53.8882i | −0.00851781 | − | 0.0125628i | ||||
\(265\) | 6665.64 | + | 724.932i | 1.54516 | + | 0.168046i | ||||
\(266\) | −8677.85 | − | 943.773i | −2.00027 | − | 0.217543i | ||||
\(267\) | −593.521 | − | 875.378i | −0.136041 | − | 0.200645i | ||||
\(268\) | −2986.18 | + | 1796.73i | −0.680634 | + | 0.409524i | ||||
\(269\) | −352.182 | − | 1268.45i | −0.0798250 | − | 0.287504i | 0.912854 | − | 0.408286i | \(-0.133873\pi\) |
−0.992679 | + | 0.120783i | \(0.961460\pi\) | |||||||
\(270\) | 359.307 | − | 1294.11i | 0.0809880 | − | 0.291692i | ||||
\(271\) | −5683.00 | − | 3419.35i | −1.27387 | − | 0.766459i | −0.292069 | − | 0.956397i | \(-0.594344\pi\) |
−0.981796 | + | 0.189938i | \(0.939171\pi\) | |||||||
\(272\) | 89.7960 | + | 1656.19i | 0.0200172 | + | 0.369196i | ||||
\(273\) | −3545.94 | − | 1194.77i | −0.786118 | − | 0.264874i | ||||
\(274\) | 183.059 | − | 345.287i | 0.0403614 | − | 0.0761297i | ||||
\(275\) | −0.971177 | + | 1.14336i | −0.000212961 | + | 0.000250717i | ||||
\(276\) | 1543.20 | − | 2276.06i | 0.336558 | − | 0.496386i | ||||
\(277\) | 14.1939 | − | 261.792i | 0.00307881 | − | 0.0567854i | −0.996590 | − | 0.0825097i | \(-0.973706\pi\) |
0.999669 | + | 0.0257243i | \(0.00818921\pi\) | |||||||
\(278\) | 1067.74 | − | 2679.82i | 0.230355 | − | 0.578146i | ||||
\(279\) | −1285.98 | + | 594.957i | −0.275948 | + | 0.127667i | ||||
\(280\) | −5082.77 | − | 1118.80i | −1.08483 | − | 0.238790i | ||||
\(281\) | 60.7840 | + | 114.651i | 0.0129042 | + | 0.0243398i | 0.889880 | − | 0.456194i | \(-0.150788\pi\) |
−0.876976 | + | 0.480534i | \(0.840443\pi\) | |||||||
\(282\) | 112.101 | + | 683.783i | 0.0236720 | + | 0.144393i | ||||
\(283\) | 3091.89 | + | 2350.40i | 0.649449 | + | 0.493698i | 0.877265 | − | 0.480006i | \(-0.159366\pi\) |
−0.227817 | + | 0.973704i | \(0.573159\pi\) | |||||||
\(284\) | 1317.15 | + | 609.378i | 0.275206 | + | 0.127324i | ||||
\(285\) | −1804.99 | + | 1709.78i | −0.375153 | + | 0.355364i | ||||
\(286\) | −41.8557 | + | 255.308i | −0.00865377 | + | 0.0527857i | ||||
\(287\) | −2071.29 | + | 697.900i | −0.426009 | + | 0.143539i | ||||
\(288\) | −715.868 | − | 1796.69i | −0.146468 | − | 0.367608i | ||||
\(289\) | −4116.86 | − | 3899.70i | −0.837953 | − | 0.793751i | ||||
\(290\) | 10854.4 | − | 8251.27i | 2.19790 | − | 1.67080i | ||||
\(291\) | −2559.19 | + | 563.321i | −0.515541 | + | 0.113479i | ||||
\(292\) | 8059.40 | + | 9488.26i | 1.61521 | + | 1.90157i | ||||
\(293\) | −6048.19 | + | 657.781i | −1.20594 | + | 0.131153i | −0.688930 | − | 0.724828i | \(-0.741919\pi\) |
−0.517006 | + | 0.855982i | \(0.672954\pi\) | |||||||
\(294\) | 4611.62 | 0.914813 | ||||||||
\(295\) | −1366.34 | + | 4853.05i | −0.269665 | + | 0.957815i | ||||
\(296\) | 614.830 | 0.120731 | ||||||||
\(297\) | 32.6329 | − | 3.54904i | 0.00637559 | − | 0.000693388i | ||||
\(298\) | −4100.66 | − | 4827.67i | −0.797130 | − | 0.938454i | ||||
\(299\) | −3552.74 | + | 782.018i | −0.687158 | + | 0.151255i | ||||
\(300\) | 35.3410 | − | 26.8656i | 0.00680139 | − | 0.00517028i | ||||
\(301\) | 5654.07 | + | 5355.82i | 1.08271 | + | 1.02560i | ||||
\(302\) | −3817.95 | − | 9582.33i | −0.727478 | − | 1.82583i | ||||
\(303\) | 1452.75 | − | 489.489i | 0.275440 | − | 0.0928065i | ||||
\(304\) | −194.303 | + | 1185.20i | −0.0366581 | + | 0.223604i | ||||
\(305\) | −1843.54 | + | 1746.29i | −0.346100 | + | 0.327843i | ||||
\(306\) | 3757.29 | + | 1738.31i | 0.701928 | + | 0.324746i | ||||
\(307\) | 4623.25 | + | 3514.51i | 0.859489 | + | 0.653366i | 0.939169 | − | 0.343454i | \(-0.111597\pi\) |
−0.0796808 | + | 0.996820i | \(0.525390\pi\) | |||||||
\(308\) | −61.8149 | − | 377.054i | −0.0114358 | − | 0.0697553i | ||||
\(309\) | −2143.27 | − | 4042.64i | −0.394584 | − | 0.744264i | ||||
\(310\) | 7648.33 | + | 1683.52i | 1.40128 | + | 0.308444i | ||||
\(311\) | −3077.16 | + | 1423.65i | −0.561060 | + | 0.259574i | −0.679857 | − | 0.733345i | \(-0.737958\pi\) |
0.118797 | + | 0.992919i | \(0.462096\pi\) | |||||||
\(312\) | 943.393 | − | 2367.74i | 0.171183 | − | 0.429637i | ||||
\(313\) | −485.614 | + | 8956.63i | −0.0876950 | + | 1.61744i | 0.541850 | + | 0.840475i | \(0.317724\pi\) |
−0.629545 | + | 0.776964i | \(0.716759\pi\) | |||||||
\(314\) | −3896.87 | + | 5747.46i | −0.700361 | + | 1.03295i | ||||
\(315\) | 1698.71 | − | 1999.88i | 0.303847 | − | 0.357716i | ||||
\(316\) | 4399.91 | − | 8299.12i | 0.783274 | − | 1.47741i | ||||
\(317\) | 6685.76 | + | 2252.70i | 1.18457 | + | 0.399129i | 0.841540 | − | 0.540194i | \(-0.181649\pi\) |
0.343033 | + | 0.939323i | \(0.388546\pi\) | |||||||
\(318\) | −437.680 | − | 8072.54i | −0.0771820 | − | 1.42354i | ||||
\(319\) | 285.536 | + | 171.801i | 0.0501158 | + | 0.0301537i | ||||
\(320\) | −2475.88 | + | 8917.31i | −0.432518 | + | 1.55779i | ||||
\(321\) | 922.062 | + | 3320.97i | 0.160326 | + | 0.577440i | ||||
\(322\) | 7674.40 | − | 4617.53i | 1.32819 | − | 0.799146i | ||||
\(323\) | −4300.76 | − | 6343.14i | −0.740869 | − | 1.09270i | ||||
\(324\) | −965.686 | − | 105.025i | −0.165584 | − | 0.0180083i | ||||
\(325\) | −58.3827 | − | 6.34950i | −0.00996459 | − | 0.00108371i | ||||
\(326\) | −4189.35 | − | 6178.84i | −0.711739 | − | 1.04974i | ||||
\(327\) | −4158.21 | + | 2501.91i | −0.703209 | + | 0.423107i | ||||
\(328\) | −398.298 | − | 1434.54i | −0.0670498 | − | 0.241491i | ||||
\(329\) | −362.166 | + | 1304.40i | −0.0606896 | + | 0.218584i | ||||
\(330\) | −155.456 | − | 93.5347i | −0.0259320 | − | 0.0156028i | ||||
\(331\) | −576.098 | − | 10625.5i | −0.0956653 | − | 1.76444i | −0.515545 | − | 0.856862i | \(-0.672411\pi\) |
0.419880 | − | 0.907580i | \(-0.362072\pi\) | |||||||
\(332\) | −11161.0 | − | 3760.58i | −1.84500 | − | 0.621653i | ||||
\(333\) | −145.198 | + | 273.873i | −0.0238944 | + | 0.0450696i | ||||
\(334\) | 6795.65 | − | 8000.46i | 1.11330 | − | 1.31068i | ||||
\(335\) | −1814.31 | + | 2675.91i | −0.295900 | + | 0.436420i | ||||
\(336\) | 68.6238 | − | 1265.69i | 0.0111421 | − | 0.205503i | ||||
\(337\) | 1598.56 | − | 4012.09i | 0.258396 | − | 0.648524i | −0.741349 | − | 0.671120i | \(-0.765814\pi\) |
0.999745 | + | 0.0225956i | \(0.00719301\pi\) | |||||||
\(338\) | −276.510 | + | 127.927i | −0.0444976 | + | 0.0205868i | ||||
\(339\) | 6538.62 | + | 1439.26i | 1.04758 | + | 0.230589i | ||||
\(340\) | −6429.06 | − | 12126.5i | −1.02548 | − | 1.93427i | ||||
\(341\) | 30.9659 | + | 188.883i | 0.00491758 | + | 0.0299959i | ||||
\(342\) | 2386.48 | + | 1814.16i | 0.377328 | + | 0.286837i | ||||
\(343\) | 18.9175 | + | 8.75217i | 0.00297799 | + | 0.00137776i | ||||
\(344\) | −3851.30 | + | 3648.15i | −0.603629 | + | 0.571788i | ||||
\(345\) | 412.708 | − | 2517.41i | 0.0644042 | − | 0.392848i | ||||
\(346\) | −14460.8 | + | 4872.41i | −2.24687 | + | 0.757059i | ||||
\(347\) | 925.489 | + | 2322.80i | 0.143178 | + | 0.359351i | 0.983025 | − | 0.183474i | \(-0.0587343\pi\) |
−0.839846 | + | 0.542824i | \(0.817355\pi\) | |||||||
\(348\) | −7159.24 | − | 6781.59i | −1.10280 | − | 1.04463i | ||||
\(349\) | 7512.74 | − | 5711.03i | 1.15229 | − | 0.875945i | 0.158511 | − | 0.987357i | \(-0.449331\pi\) |
0.993774 | + | 0.111413i | \(0.0355375\pi\) | |||||||
\(350\) | 141.209 | − | 31.0824i | 0.0215655 | − | 0.00474693i | ||||
\(351\) | 831.907 | + | 979.396i | 0.126507 | + | 0.148935i | ||||
\(352\) | −259.727 | + | 28.2471i | −0.0393282 | + | 0.00427720i | ||||
\(353\) | −858.428 | −0.129432 | −0.0647160 | − | 0.997904i | \(-0.520614\pi\) | ||||
−0.0647160 | + | 0.997904i | \(0.520614\pi\) | |||||||
\(354\) | 6040.94 | + | 679.071i | 0.906984 | + | 0.101955i | ||||
\(355\) | 1346.32 | 0.201283 | ||||||||
\(356\) | 4202.99 | − | 457.102i | 0.625724 | − | 0.0680516i | ||||
\(357\) | 5236.20 | + | 6164.53i | 0.776272 | + | 0.913898i | ||||
\(358\) | −11998.9 | + | 2641.16i | −1.77140 | + | 0.389915i | ||||
\(359\) | −3161.21 | + | 2403.09i | −0.464742 | + | 0.353288i | −0.811191 | − | 0.584781i | \(-0.801180\pi\) |
0.346449 | + | 0.938069i | \(0.387387\pi\) | |||||||
\(360\) | 1297.59 | + | 1229.14i | 0.189969 | + | 0.179948i | ||||
\(361\) | 484.763 | + | 1216.66i | 0.0706755 | + | 0.177382i | ||||
\(362\) | 11688.1 | − | 3938.18i | 1.69700 | − | 0.571784i | ||||
\(363\) | −645.278 | + | 3936.02i | −0.0933012 | + | 0.569112i | ||||
\(364\) | 10859.2 | − | 10286.4i | 1.56368 | − | 1.48119i | ||||
\(365\) | 10481.4 | + | 4849.20i | 1.50307 | + | 0.695394i | ||||
\(366\) | 2437.44 | + | 1852.89i | 0.348107 | + | 0.264624i | ||||
\(367\) | −1302.52 | − | 7945.01i | −0.185261 | − | 1.13004i | −0.901690 | − | 0.432384i | \(-0.857673\pi\) |
0.716428 | − | 0.697661i | \(-0.245776\pi\) | |||||||
\(368\) | −577.225 | − | 1088.76i | −0.0817661 | − | 0.154227i | ||||
\(369\) | 733.072 | + | 161.361i | 0.103421 | + | 0.0227646i | ||||
\(370\) | 1554.93 | − | 719.386i | 0.218478 | − | 0.101079i | ||||
\(371\) | 5846.17 | − | 14672.8i | 0.818109 | − | 2.05330i | ||||
\(372\) | 306.650 | − | 5655.83i | 0.0427394 | − | 0.788282i | ||||
\(373\) | −4466.85 | + | 6588.11i | −0.620066 | + | 0.914529i | −0.999945 | − | 0.0105074i | \(-0.996655\pi\) |
0.379879 | + | 0.925036i | \(0.375966\pi\) | |||||||
\(374\) | 362.041 | − | 426.228i | 0.0500553 | − | 0.0589297i | ||||
\(375\) | 1973.44 | − | 3722.29i | 0.271754 | − | 0.512582i | ||||
\(376\) | −873.844 | − | 294.432i | −0.119854 | − | 0.0403835i | ||||
\(377\) | 706.260 | + | 13026.2i | 0.0964834 | + | 1.77953i | ||||
\(378\) | −2710.93 | − | 1631.11i | −0.368876 | − | 0.221945i | ||||
\(379\) | 1255.88 | − | 4523.26i | 0.170211 | − | 0.613046i | −0.828389 | − | 0.560154i | \(-0.810742\pi\) |
0.998600 | − | 0.0528926i | \(-0.0168441\pi\) | |||||||
\(380\) | −2658.85 | − | 9576.33i | −0.358938 | − | 1.29278i | ||||
\(381\) | −2285.92 | + | 1375.39i | −0.307379 | + | 0.184944i | ||||
\(382\) | 5027.30 | + | 7414.72i | 0.673349 | + | 0.993115i | ||||
\(383\) | 2573.99 | + | 279.938i | 0.343407 | + | 0.0373477i | 0.278197 | − | 0.960524i | \(-0.410263\pi\) |
0.0652091 | + | 0.997872i | \(0.479229\pi\) | |||||||
\(384\) | 5966.00 | + | 648.841i | 0.792841 | + | 0.0862267i | ||||
\(385\) | −198.915 | − | 293.377i | −0.0263315 | − | 0.0388361i | ||||
\(386\) | −6771.69 | + | 4074.39i | −0.892927 | + | 0.537256i | ||||
\(387\) | −715.527 | − | 2577.10i | −0.0939853 | − | 0.338504i | ||||
\(388\) | 2802.40 | − | 10093.3i | 0.366676 | − | 1.32065i | ||||
\(389\) | −6297.81 | − | 3789.27i | −0.820853 | − | 0.493891i | 0.0421370 | − | 0.999112i | \(-0.486583\pi\) |
−0.862990 | + | 0.505221i | \(0.831411\pi\) | |||||||
\(390\) | −384.513 | − | 7091.92i | −0.0499245 | − | 0.920804i | ||||
\(391\) | 7451.73 | + | 2510.78i | 0.963812 | + | 0.324746i | ||||
\(392\) | −2874.65 | + | 5422.16i | −0.370387 | + | 0.698624i | ||||
\(393\) | −1295.98 | + | 1525.75i | −0.166345 | + | 0.195836i | ||||
\(394\) | −7537.24 | + | 11116.6i | −0.963758 | + | 1.42144i | ||||
\(395\) | 471.765 | − | 8701.19i | 0.0600939 | − | 1.10837i | ||||
\(396\) | −48.5686 | + | 121.898i | −0.00616329 | + | 0.0154687i | ||||
\(397\) | −9918.63 | + | 4588.85i | −1.25391 | + | 0.580120i | −0.930553 | − | 0.366158i | \(-0.880673\pi\) |
−0.323356 | + | 0.946278i | \(0.604811\pi\) | |||||||
\(398\) | −2801.70 | − | 616.702i | −0.352856 | − | 0.0776695i | ||||
\(399\) | 2743.34 | + | 5174.49i | 0.344207 | + | 0.649244i | ||||
\(400\) | −3.21848 | − | 19.6318i | −0.000402310 | − | 0.00245398i | ||||
\(401\) | 2304.97 | + | 1752.19i | 0.287044 | + | 0.218205i | 0.738780 | − | 0.673947i | \(-0.235402\pi\) |
−0.451737 | + | 0.892151i | \(0.649195\pi\) | |||||||
\(402\) | 3537.85 | + | 1636.78i | 0.438935 | + | 0.203073i | ||||
\(403\) | −5439.88 | + | 5152.93i | −0.672407 | + | 0.636937i | ||||
\(404\) | −991.413 | + | 6047.35i | −0.122091 | + | 0.744720i | ||||
\(405\) | −853.956 | + | 287.731i | −0.104774 | + | 0.0353024i | ||||
\(406\) | −11888.2 | − | 29837.2i | −1.45321 | − | 3.64728i | ||||
\(407\) | 30.4000 | + | 28.7964i | 0.00370239 | + | 0.00350709i | ||||
\(408\) | −4385.94 | + | 3334.10i | −0.532197 | + | 0.404566i | ||||
\(409\) | −8236.49 | + | 1812.99i | −0.995766 | + | 0.219185i | −0.682820 | − | 0.730586i | \(-0.739247\pi\) |
−0.312946 | + | 0.949771i | \(0.601316\pi\) | |||||||
\(410\) | −2685.80 | − | 3161.97i | −0.323518 | − | 0.380875i | ||||
\(411\) | −260.678 | + | 28.3504i | −0.0312853 | + | 0.00340249i | ||||
\(412\) | 18290.9 | 2.18720 | ||||||||
\(413\) | 10154.4 | + | 6159.73i | 1.20984 | + | 0.733899i | ||||
\(414\) | −3075.85 | −0.365144 | ||||||||
\(415\) | −10861.7 | + | 1181.28i | −1.28477 | + | 0.139727i | ||||
\(416\) | −6621.21 | − | 7795.09i | −0.780364 | − | 0.918716i | ||||
\(417\) | −1890.23 | + | 416.072i | −0.221979 | + | 0.0488612i | ||||
\(418\) | 322.374 | − | 245.063i | 0.0377221 | − | 0.0286756i | ||||
\(419\) | 3942.98 | + | 3734.99i | 0.459730 | + | 0.435480i | 0.882184 | − | 0.470905i | \(-0.156072\pi\) |
−0.422454 | + | 0.906385i | \(0.638831\pi\) | |||||||
\(420\) | 3882.43 | + | 9744.17i | 0.451055 | + | 1.13206i | ||||
\(421\) | 1248.51 | − | 420.671i | 0.144533 | − | 0.0486989i | −0.246105 | − | 0.969243i | \(-0.579151\pi\) |
0.390638 | + | 0.920544i | \(0.372254\pi\) | |||||||
\(422\) | 730.794 | − | 4457.65i | 0.0842998 | − | 0.514206i | ||||
\(423\) | 337.521 | − | 319.717i | 0.0387963 | − | 0.0367498i | ||||
\(424\) | 9764.21 | + | 4517.40i | 1.11838 | + | 0.517416i | ||||
\(425\) | 101.058 | + | 76.8225i | 0.0115342 | + | 0.00876809i | ||||
\(426\) | −262.622 | − | 1601.92i | −0.0298688 | − | 0.182191i | ||||
\(427\) | 2801.92 | + | 5284.98i | 0.317551 | + | 0.598965i | ||||
\(428\) | −13455.5 | − | 2961.78i | −1.51961 | − | 0.334493i | ||||
\(429\) | 157.542 | − | 72.8867i | 0.0177301 | − | 0.00820280i | ||||
\(430\) | −5471.55 | + | 13732.6i | −0.613632 | + | 1.54010i | ||||
\(431\) | −477.478 | + | 8806.56i | −0.0533626 | + | 0.984216i | 0.842168 | + | 0.539216i | \(0.181279\pi\) |
−0.895530 | + | 0.445000i | \(0.853204\pi\) | |||||||
\(432\) | −244.288 | + | 360.297i | −0.0272067 | + | 0.0401269i | ||||
\(433\) | 3879.75 | − | 4567.59i | 0.430598 | − | 0.506939i | −0.503481 | − | 0.864006i | \(-0.667948\pi\) |
0.934079 | + | 0.357068i | \(0.116223\pi\) | |||||||
\(434\) | 8641.29 | − | 16299.2i | 0.955749 | − | 1.80273i | ||||
\(435\) | −8669.20 | − | 2920.99i | −0.955532 | − | 0.321956i | ||||
\(436\) | −1050.24 | − | 19370.6i | −0.115361 | − | 2.12771i | ||||
\(437\) | 4878.86 | + | 2935.51i | 0.534068 | + | 0.321338i | ||||
\(438\) | 3725.27 | − | 13417.2i | 0.406394 | − | 1.46370i | ||||
\(439\) | −3181.02 | − | 11457.0i | −0.345836 | − | 1.24559i | −0.908143 | − | 0.418659i | \(-0.862500\pi\) |
0.562308 | − | 0.826928i | \(-0.309914\pi\) | |||||||
\(440\) | 206.878 | − | 124.474i | 0.0224148 | − | 0.0134865i | ||||
\(441\) | −1736.40 | − | 2561.00i | −0.187496 | − | 0.276536i | ||||
\(442\) | 21764.2 | + | 2367.00i | 2.34213 | + | 0.254721i | ||||
\(443\) | −7650.73 | − | 832.067i | −0.820535 | − | 0.0892386i | −0.311785 | − | 0.950153i | \(-0.600927\pi\) |
−0.508750 | + | 0.860914i | \(0.669892\pi\) | |||||||
\(444\) | −695.389 | − | 1025.62i | −0.0743282 | − | 0.109626i | ||||
\(445\) | 3360.60 | − | 2022.00i | 0.357995 | − | 0.215398i | ||||
\(446\) | 5103.85 | + | 18382.4i | 0.541871 | + | 1.95164i | ||||
\(447\) | −1136.97 | + | 4095.00i | −0.120306 | + | 0.433304i | ||||
\(448\) | 18680.2 | + | 11239.5i | 1.96999 | + | 1.18530i | ||||
\(449\) | 1013.24 | + | 18688.0i | 0.106498 | + | 1.96424i | 0.233555 | + | 0.972344i | \(0.424964\pi\) |
−0.127057 | + | 0.991895i | \(0.540553\pi\) | |||||||
\(450\) | −47.0559 | − | 15.8550i | −0.00492941 | − | 0.00166091i | ||||
\(451\) | 47.4950 | − | 89.5851i | 0.00495887 | − | 0.00935343i | ||||
\(452\) | −17326.3 | + | 20398.1i | −1.80301 | + | 2.12267i | ||||
\(453\) | −3883.86 | + | 5728.26i | −0.402825 | + | 0.594122i | ||||
\(454\) | −1525.58 | + | 28137.6i | −0.157707 | + | 2.90873i | ||||
\(455\) | 5136.01 | − | 12890.4i | 0.529186 | − | 1.32816i | ||||
\(456\) | −3620.63 | + | 1675.08i | −0.371823 | + | 0.172024i | ||||
\(457\) | −3718.10 | − | 818.417i | −0.380581 | − | 0.0837722i | 0.0205597 | − | 0.999789i | \(-0.493455\pi\) |
−0.401141 | + | 0.916016i | \(0.631386\pi\) | |||||||
\(458\) | 9277.52 | + | 17499.3i | 0.946529 | + | 1.78534i | ||||
\(459\) | −449.378 | − | 2741.08i | −0.0456975 | − | 0.278742i | ||||
\(460\) | 8118.19 | + | 6171.29i | 0.822853 | + | 0.625517i | ||||
\(461\) | −13640.2 | − | 6310.65i | −1.37807 | − | 0.637562i | −0.415748 | − | 0.909480i | \(-0.636480\pi\) |
−0.962320 | + | 0.271918i | \(0.912342\pi\) | |||||||
\(462\) | −310.274 | + | 293.907i | −0.0312452 | + | 0.0295970i | ||||
\(463\) | −335.207 | + | 2044.67i | −0.0336466 | + | 0.205235i | −0.998300 | − | 0.0582873i | \(-0.981436\pi\) |
0.964653 | + | 0.263523i | \(0.0848843\pi\) | |||||||
\(464\) | −4187.81 | + | 1411.04i | −0.418996 | + | 0.141176i | ||||
\(465\) | −1944.89 | − | 4881.29i | −0.193961 | − | 0.486806i | ||||
\(466\) | 3569.13 | + | 3380.86i | 0.354800 | + | 0.336085i | ||||
\(467\) | 5307.71 | − | 4034.81i | 0.525935 | − | 0.399805i | −0.308237 | − | 0.951309i | \(-0.599739\pi\) |
0.834172 | + | 0.551504i | \(0.185946\pi\) | |||||||
\(468\) | −5016.72 | + | 1104.26i | −0.495509 | + | 0.109070i | ||||
\(469\) | 4930.38 | + | 5804.50i | 0.485424 | + | 0.571486i | ||||
\(470\) | −2554.49 | + | 277.817i | −0.250702 | + | 0.0272654i | ||||
\(471\) | 4659.06 | 0.455792 | ||||||||
\(472\) | −4564.04 | + | 6679.41i | −0.445078 | + | 0.651366i | ||||
\(473\) | −361.292 | −0.0351210 | ||||||||
\(474\) | −10445.2 | + | 1135.98i | −1.01216 | + | 0.110079i | ||||
\(475\) | 59.5077 | + | 70.0579i | 0.00574822 | + | 0.00676732i | ||||
\(476\) | −31576.3 | + | 6950.47i | −3.04054 | + | 0.669274i | ||||
\(477\) | −4318.18 | + | 3282.59i | −0.414499 | + | 0.315094i | ||||
\(478\) | 5952.38 | + | 5638.40i | 0.569573 | + | 0.539528i | ||||
\(479\) | −6912.00 | − | 17347.8i | −0.659327 | − | 1.65479i | −0.752060 | − | 0.659094i | \(-0.770940\pi\) |
0.0927338 | − | 0.995691i | \(-0.470439\pi\) | |||||||
\(480\) | 6796.69 | − | 2290.07i | 0.646303 | − | 0.217765i | ||||
\(481\) | −265.199 | + | 1617.64i | −0.0251394 | + | 0.153344i | ||||
\(482\) | −9307.50 | + | 8816.54i | −0.879554 | + | 0.833158i | ||||
\(483\) | −5453.91 | − | 2523.25i | −0.513792 | − | 0.237705i | ||||
\(484\) | −12693.0 | − | 9648.95i | −1.19205 | − | 0.906175i | ||||
\(485\) | −1572.12 | − | 9589.53i | −0.147189 | − | 0.897811i | ||||
\(486\) | 508.936 | + | 959.954i | 0.0475016 | + | 0.0895976i | ||||
\(487\) | −11807.0 | − | 2598.93i | −1.09862 | − | 0.241825i | −0.371567 | − | 0.928406i | \(-0.621180\pi\) |
−0.727053 | + | 0.686581i | \(0.759111\pi\) | |||||||
\(488\) | −3697.94 | + | 1710.85i | −0.343028 | + | 0.158702i | ||||
\(489\) | −1853.93 | + | 4653.01i | −0.171447 | + | 0.430299i | ||||
\(490\) | −925.853 | + | 17076.4i | −0.0853588 | + | 1.57435i | ||||
\(491\) | −9077.75 | + | 13388.7i | −0.834365 | + | 1.23060i | 0.136421 | + | 0.990651i | \(0.456440\pi\) |
−0.970786 | + | 0.239946i | \(0.922870\pi\) | |||||||
\(492\) | −1942.53 | + | 2286.92i | −0.178000 | + | 0.209558i | ||||
\(493\) | 13208.4 | − | 24913.7i | 1.20665 | − | 2.27597i | ||||
\(494\) | 15022.7 | + | 5061.74i | 1.36823 | + | 0.461009i | ||||
\(495\) | 6.59019 | + | 121.549i | 0.000598398 | + | 0.0110368i | ||||
\(496\) | −2174.94 | − | 1308.62i | −0.196890 | − | 0.118465i | ||||
\(497\) | 848.461 | − | 3055.88i | 0.0765768 | − | 0.275805i | ||||
\(498\) | 3524.30 | + | 12693.4i | 0.317124 | + | 1.14218i | ||||
\(499\) | −10837.4 | + | 6520.63i | −0.972239 | + | 0.584977i | −0.910674 | − | 0.413126i | \(-0.864437\pi\) |
−0.0615655 | + | 0.998103i | \(0.519609\pi\) | |||||||
\(500\) | 9451.24 | + | 13939.5i | 0.845344 | + | 1.24679i | ||||
\(501\) | −7001.70 | − | 761.481i | −0.624377 | − | 0.0679051i | ||||
\(502\) | 23151.4 | + | 2517.87i | 2.05836 | + | 0.223861i | ||||
\(503\) | −1257.29 | − | 1854.37i | −0.111451 | − | 0.164378i | 0.767873 | − | 0.640603i | \(-0.221315\pi\) |
−0.879324 | + | 0.476224i | \(0.842005\pi\) | |||||||
\(504\) | 3607.65 | − | 2170.65i | 0.318844 | − | 0.191842i | ||||
\(505\) | 1520.87 | + | 5477.66i | 0.134015 | + | 0.482679i | ||||
\(506\) | −111.157 | + | 400.351i | −0.00976588 | + | 0.0351735i | ||||
\(507\) | 175.157 | + | 105.388i | 0.0153432 | + | 0.00923167i | ||||
\(508\) | −577.358 | − | 10648.7i | −0.0504254 | − | 0.930042i | ||||
\(509\) | 8764.04 | + | 2952.95i | 0.763182 | + | 0.257146i | 0.673862 | − | 0.738857i | \(-0.264634\pi\) |
0.0893196 | + | 0.996003i | \(0.471531\pi\) | |||||||
\(510\) | −7191.12 | + | 13563.9i | −0.624368 | + | 1.17768i | ||||
\(511\) | 17612.1 | − | 20734.6i | 1.52469 | − | 1.79500i | ||||
\(512\) | 3236.38 | − | 4773.30i | 0.279354 | − | 0.412016i | ||||
\(513\) | 108.891 | − | 2008.38i | 0.00937167 | − | 0.172850i | ||||
\(514\) | 11921.8 | − | 29921.5i | 1.02305 | − | 2.56767i | ||||
\(515\) | 15399.8 | − | 7124.69i | 1.31766 | − | 0.609615i | ||||
\(516\) | 10441.6 | + | 2298.36i | 0.890821 | + | 0.196085i | ||||
\(517\) | −29.4167 | − | 55.4858i | −0.00250241 | − | 0.00472004i | ||||
\(518\) | −652.936 | − | 3982.73i | −0.0553829 | − | 0.337821i | ||||
\(519\) | 8150.72 | + | 6196.02i | 0.689358 | + | 0.524036i | ||||
\(520\) | 8578.10 | + | 3968.65i | 0.723412 | + | 0.334686i | ||||
\(521\) | 1107.63 | − | 1049.20i | 0.0931402 | − | 0.0882271i | −0.639713 | − | 0.768614i | \(-0.720947\pi\) |
0.732853 | + | 0.680387i | \(0.238188\pi\) | |||||||
\(522\) | −1784.48 | + | 10884.9i | −0.149626 | + | 0.912677i | ||||
\(523\) | 14008.7 | − | 4720.07i | 1.17123 | − | 0.394635i | 0.334581 | − | 0.942367i | \(-0.391405\pi\) |
0.836654 | + | 0.547732i | \(0.184509\pi\) | |||||||
\(524\) | −2961.98 | − | 7434.00i | −0.246936 | − | 0.619763i | ||||
\(525\) | −70.4302 | − | 66.7151i | −0.00585491 | − | 0.00554606i | ||||
\(526\) | −15402.9 | + | 11709.0i | −1.27681 | + | 0.970603i | ||||
\(527\) | 15818.0 | − | 3481.81i | 1.30748 | − | 0.287799i | ||||
\(528\) | 38.0680 | + | 44.8171i | 0.00313768 | + | 0.00369396i | ||||
\(529\) | 6287.67 | − | 683.825i | 0.516780 | − | 0.0562032i | ||||
\(530\) | 29979.7 | 2.45705 | ||||||||
\(531\) | −1897.47 | − | 3610.45i | −0.155072 | − | 0.295066i | ||||
\(532\) | −23412.0 | −1.90796 | ||||||||
\(533\) | 3946.14 | − | 429.168i | 0.320687 | − | 0.0348768i | ||||
\(534\) | −3061.43 | − | 3604.19i | −0.248092 | − | 0.292076i | ||||
\(535\) | −12482.3 | + | 2747.57i | −1.00871 | + | 0.222033i | ||||
\(536\) | −4129.78 | + | 3139.38i | −0.332798 | + | 0.252986i | ||||
\(537\) | 5984.66 | + | 5668.97i | 0.480925 | + | 0.455557i | ||||
\(538\) | −2178.68 | − | 5468.07i | −0.174590 | − | 0.438188i | ||||
\(539\) | −396.090 | + | 133.458i | −0.0316527 | + | 0.0106650i | ||||
\(540\) | 582.772 | − | 3554.75i | 0.0464417 | − | 0.283282i | ||||
\(541\) | 11596.1 | − | 10984.4i | 0.921545 | − | 0.872934i | −0.0706660 | − | 0.997500i | \(-0.522512\pi\) |
0.992211 | + | 0.124566i | \(0.0397538\pi\) | |||||||
\(542\) | −26914.3 | − | 12451.9i | −2.13297 | − | 0.986817i | ||||
\(543\) | −6587.91 | − | 5008.00i | −0.520652 | − | 0.395789i | ||||
\(544\) | 3576.63 | + | 21816.5i | 0.281887 | + | 1.71944i | ||||
\(545\) | −8429.50 | − | 15899.7i | −0.662532 | − | 1.24967i | ||||
\(546\) | −16339.6 | − | 3596.61i | −1.28071 | − | 0.281906i | ||||
\(547\) | 11128.9 | − | 5148.79i | 0.869906 | − | 0.402461i | 0.0664246 | − | 0.997791i | \(-0.478841\pi\) |
0.803481 | + | 0.595330i | \(0.202979\pi\) | |||||||
\(548\) | 387.975 | − | 973.744i | 0.0302436 | − | 0.0759056i | ||||
\(549\) | 111.216 | − | 2051.27i | 0.00864590 | − | 0.159464i | ||||
\(550\) | −3.76422 | + | 5.55180i | −0.000291830 | + | 0.000430418i | ||||
\(551\) | 13218.8 | − | 15562.3i | 1.02203 | − | 1.20323i | ||||
\(552\) | 1917.33 | − | 3616.46i | 0.147839 | − | 0.278853i | ||||
\(553\) | −19452.6 | − | 6554.36i | −1.49586 | − | 0.504014i | ||||
\(554\) | −63.4651 | − | 1170.54i | −0.00486710 | − | 0.0897684i | ||||
\(555\) | −984.975 | − | 592.640i | −0.0753331 | − | 0.0453264i | ||||
\(556\) | 2069.87 | − | 7454.98i | 0.157881 | − | 0.568636i | ||||
\(557\) | −6062.98 | − | 21836.9i | −0.461215 | − | 1.66115i | −0.719051 | − | 0.694958i | \(-0.755423\pi\) |
0.257836 | − | 0.966189i | \(-0.416991\pi\) | |||||||
\(558\) | −5428.64 | + | 3266.30i | −0.411851 | + | 0.247802i | ||||
\(559\) | −7937.23 | − | 11706.5i | −0.600553 | − | 0.885749i | ||||
\(560\) | 4672.95 | + | 508.214i | 0.352622 | + | 0.0383499i | ||||
\(561\) | −373.019 | − | 40.5682i | −0.0280728 | − | 0.00305310i | ||||
\(562\) | 325.615 | + | 480.245i | 0.0244399 | + | 0.0360461i | ||||
\(563\) | −4737.55 | + | 2850.49i | −0.354643 | + | 0.213381i | −0.681715 | − | 0.731618i | \(-0.738766\pi\) |
0.327072 | + | 0.944999i | \(0.393938\pi\) | |||||||
\(564\) | 497.187 | + | 1790.70i | 0.0371194 | + | 0.133692i | ||||
\(565\) | −6642.16 | + | 23922.9i | −0.494580 | + | 1.78132i | ||||
\(566\) | 14879.9 | + | 8952.96i | 1.10504 | + | 0.664878i | ||||
\(567\) | 114.923 | + | 2119.64i | 0.00851204 | + | 0.156995i | ||||
\(568\) | 2047.19 | + | 689.778i | 0.151229 | + | 0.0509550i | ||||
\(569\) | 8523.13 | − | 16076.3i | 0.627958 | − | 1.18445i | −0.341658 | − | 0.939824i | \(-0.610989\pi\) |
0.969616 | − | 0.244630i | \(-0.0786666\pi\) | |||||||
\(570\) | −7196.76 | + | 8472.68i | −0.528841 | + | 0.622600i | ||||
\(571\) | 14057.6 | − | 20733.4i | 1.03028 | − | 1.51955i | 0.186797 | − | 0.982399i | \(-0.440189\pi\) |
0.843485 | − | 0.537153i | \(-0.180500\pi\) | |||||||
\(572\) | −37.5670 | + | 692.882i | −0.00274607 | + | 0.0506483i | ||||
\(573\) | 2224.75 | − | 5583.70i | 0.162199 | − | 0.407089i | ||||
\(574\) | −8869.65 | + | 4103.54i | −0.644969 | + | 0.298394i | ||||
\(575\) | −92.1099 | − | 20.2749i | −0.00668043 | − | 0.00147047i | ||||
\(576\) | −3506.92 | − | 6614.76i | −0.253684 | − | 0.478498i | ||||
\(577\) | 3669.57 | + | 22383.4i | 0.264759 | + | 1.61496i | 0.699656 | + | 0.714480i | \(0.253337\pi\) |
−0.434897 | + | 0.900480i | \(0.643215\pi\) | |||||||
\(578\) | −20185.0 | − | 15344.2i | −1.45257 | − | 1.10421i | ||||
\(579\) | 4812.39 | + | 2226.45i | 0.345416 | + | 0.159807i | ||||
\(580\) | 26548.9 | − | 25148.4i | 1.90066 | − | 1.80040i | ||||
\(581\) | −4163.84 | + | 25398.3i | −0.297324 | + | 1.81359i | ||||
\(582\) | −11103.5 | + | 3741.19i | −0.790813 | + | 0.266456i | ||||
\(583\) | 271.208 | + | 680.682i | 0.0192664 | + | 0.0483550i | ||||
\(584\) | 13453.3 | + | 12743.6i | 0.953256 | + | 0.902972i | ||||
\(585\) | −3793.63 | + | 2883.84i | −0.268115 | + | 0.203816i | ||||
\(586\) | −26566.6 | + | 5847.76i | −1.87279 | + | 0.412233i | ||||
\(587\) | 13803.0 | + | 16250.2i | 0.970549 | + | 1.14262i | 0.989751 | + | 0.142804i | \(0.0456117\pi\) |
−0.0192016 | + | 0.999816i | \(0.506112\pi\) | |||||||
\(588\) | 12296.2 | − | 1337.30i | 0.862395 | − | 0.0937911i | ||||
\(589\) | 11728.1 | 0.820455 | ||||||||
\(590\) | −3727.34 | + | 22232.7i | −0.260089 | + | 1.55136i | ||||
\(591\) | 9011.44 | 0.627210 | ||||||||
\(592\) | −552.041 | + | 60.0381i | −0.0383256 | + | 0.00416816i | ||||
\(593\) | −9156.20 | − | 10779.5i | −0.634064 | − | 0.746478i | 0.347486 | − | 0.937685i | \(-0.387036\pi\) |
−0.981550 | + | 0.191208i | \(0.938760\pi\) | |||||||
\(594\) | 143.340 | − | 31.5514i | 0.00990118 | − | 0.00217941i | ||||
\(595\) | −23877.9 | + | 18151.5i | −1.64521 | + | 1.25065i | ||||
\(596\) | −12333.8 | − | 11683.2i | −0.847670 | − | 0.802955i | ||||
\(597\) | 712.442 | + | 1788.10i | 0.0488414 | + | 0.122583i | ||||
\(598\) | −15414.1 | + | 5193.63i | −1.05406 | + | 0.355156i | ||||
\(599\) | 1173.20 | − | 7156.20i | 0.0800261 | − | 0.488137i | −0.916155 | − | 0.400824i | \(-0.868724\pi\) |
0.996181 | − | 0.0873129i | \(-0.0278280\pi\) | |||||||
\(600\) | 47.9739 | − | 45.4433i | 0.00326421 | − | 0.00309203i | ||||
\(601\) | −19172.7 | − | 8870.24i | −1.30128 | − | 0.602038i | −0.357906 | − | 0.933758i | \(-0.616509\pi\) |
−0.943378 | + | 0.331720i | \(0.892371\pi\) | |||||||
\(602\) | 27721.9 | + | 21073.7i | 1.87685 | + | 1.42674i | ||||
\(603\) | −423.132 | − | 2580.99i | −0.0285759 | − | 0.174305i | ||||
\(604\) | −12958.8 | − | 24442.8i | −0.872987 | − | 1.64663i | ||||
\(605\) | −14445.2 | − | 3179.62i | −0.970709 | − | 0.213669i | ||||
\(606\) | 6220.94 | − | 2878.11i | 0.417011 | − | 0.192930i | ||||
\(607\) | −5725.32 | + | 14369.5i | −0.382840 | + | 0.960855i | 0.603682 | + | 0.797225i | \(0.293700\pi\) |
−0.986522 | + | 0.163630i | \(0.947680\pi\) | |||||||
\(608\) | −866.674 | + | 15984.9i | −0.0578096 | + | 1.06624i | ||||
\(609\) | −12093.4 | + | 17836.5i | −0.804682 | + | 1.18682i | ||||
\(610\) | −7350.43 | + | 8653.60i | −0.487886 | + | 0.574384i | ||||
\(611\) | 1151.59 | − | 2172.12i | 0.0762491 | − | 0.143821i | ||||
\(612\) | 10522.4 | + | 3545.40i | 0.695003 | + | 0.234174i | ||||
\(613\) | 1248.21 | + | 23021.9i | 0.0822428 | + | 1.51688i | 0.690612 | + | 0.723226i | \(0.257341\pi\) |
−0.608369 | + | 0.793654i | \(0.708176\pi\) | |||||||
\(614\) | 22249.7 | + | 13387.2i | 1.46242 | + | 0.879908i | ||||
\(615\) | −744.681 | + | 2682.10i | −0.0488267 | + | 0.175858i | ||||
\(616\) | −152.156 | − | 548.015i | −0.00995216 | − | 0.0358444i | ||||
\(617\) | 10503.6 | − | 6319.78i | 0.685344 | − | 0.412358i | −0.129859 | − | 0.991532i | \(-0.541453\pi\) |
0.815204 | + | 0.579174i | \(0.196625\pi\) | |||||||
\(618\) | −11481.3 | − | 16933.7i | −0.747324 | − | 1.10222i | ||||
\(619\) | 13291.9 | + | 1445.58i | 0.863082 | + | 0.0938658i | 0.528942 | − | 0.848658i | \(-0.322589\pi\) |
0.334139 | + | 0.942524i | \(0.391554\pi\) | |||||||
\(620\) | 20881.4 | + | 2270.99i | 1.35261 | + | 0.147105i | ||||
\(621\) | 1158.14 | + | 1708.13i | 0.0748384 | + | 0.110378i | ||||
\(622\) | −12990.0 | + | 7815.80i | −0.837379 | + | 0.503834i | ||||
\(623\) | −2471.67 | − | 8902.15i | −0.158949 | − | 0.572484i | ||||
\(624\) | −615.841 | + | 2218.06i | −0.0395086 | + | 0.142297i | ||||
\(625\) | 13254.9 | + | 7975.22i | 0.848315 | + | 0.510414i | ||||
\(626\) | 2171.32 | + | 40047.6i | 0.138631 | + | 2.55691i | ||||
\(627\) | −257.475 | − | 86.7535i | −0.0163996 | − | 0.00552568i | ||||
\(628\) | −8723.80 | + | 16454.8i | −0.554327 | + | 1.04557i | ||||
\(629\) | 2293.91 | − | 2700.60i | 0.145412 | − | 0.171192i | ||||
\(630\) | 6584.10 | − | 9710.82i | 0.416376 | − | 0.614109i | ||||
\(631\) | 1216.17 | − | 22430.9i | 0.0767274 | − | 1.41515i | −0.666196 | − | 0.745777i | \(-0.732079\pi\) |
0.742924 | − | 0.669376i | \(-0.233439\pi\) | |||||||
\(632\) | 5175.34 | − | 12989.1i | 0.325734 | − | 0.817532i | ||||
\(633\) | −2750.66 | + | 1272.59i | −0.172716 | + | 0.0799067i | ||||
\(634\) | 30807.7 | + | 6781.29i | 1.92986 | + | 0.424794i | ||||
\(635\) | −4634.01 | − | 8740.67i | −0.289598 | − | 0.546241i | ||||
\(636\) | −3507.92 | − | 21397.4i | −0.218708 | − | 1.33406i | ||||
\(637\) | −13026.0 | − | 9902.11i | −0.810219 | − | 0.615912i | ||||
\(638\) | 1352.28 | + | 625.632i | 0.0839143 | + | 0.0388229i | ||||
\(639\) | −790.723 | + | 749.013i | −0.0489523 | + | 0.0463701i | ||||
\(640\) | −3600.36 | + | 21961.2i | −0.222370 | + | 1.35640i | ||||
\(641\) | −9606.52 | + | 3236.81i | −0.591942 | + | 0.199449i | −0.599300 | − | 0.800524i | \(-0.704554\pi\) |
0.00735804 | + | 0.999973i | \(0.497658\pi\) | |||||||
\(642\) | 5704.09 | + | 14316.2i | 0.350658 | + | 0.880085i | ||||
\(643\) | 7045.59 | + | 6673.94i | 0.432116 | + | 0.409322i | 0.872598 | − | 0.488439i | \(-0.162434\pi\) |
−0.440481 | + | 0.897762i | \(0.645192\pi\) | |||||||
\(644\) | 19123.7 | − | 14537.5i | 1.17015 | − | 0.889528i | ||||
\(645\) | 9686.39 | − | 2132.14i | 0.591320 | − | 0.130159i | ||||
\(646\) | −22183.6 | − | 26116.6i | −1.35109 | − | 1.59063i | ||||
\(647\) | 8333.19 | − | 906.289i | 0.506355 | − | 0.0550694i | 0.148623 | − | 0.988894i | \(-0.452516\pi\) |
0.357732 | + | 0.933824i | \(0.383550\pi\) | |||||||
\(648\) | −1445.92 | −0.0876562 | ||||||||
\(649\) | −538.507 | + | 116.497i | −0.0325705 | + | 0.00704610i | ||||
\(650\) | −262.585 | −0.0158453 | ||||||||
\(651\) | −12305.2 | + | 1338.27i | −0.740829 | + | 0.0805701i | ||||
\(652\) | −12962.1 | − | 15260.2i | −0.778581 | − | 0.916616i | ||||
\(653\) | −1660.36 | + | 365.474i | −0.0995024 | + | 0.0219021i | −0.264443 | − | 0.964401i | \(-0.585188\pi\) |
0.164940 | + | 0.986304i | \(0.447257\pi\) | |||||||
\(654\) | −17274.0 | + | 13131.4i | −1.03282 | + | 0.785133i | ||||
\(655\) | −5389.50 | − | 5105.20i | −0.321504 | − | 0.304545i | ||||
\(656\) | 497.705 | + | 1249.15i | 0.0296221 | + | 0.0743460i | ||||
\(657\) | −8853.74 | + | 2983.17i | −0.525750 | + | 0.177146i | ||||
\(658\) | −979.265 | + | 5973.25i | −0.0580178 | + | 0.353893i | ||||
\(659\) | −8756.21 | + | 8294.32i | −0.517593 | + | 0.490290i | −0.901318 | − | 0.433157i | \(-0.857399\pi\) |
0.383726 | + | 0.923447i | \(0.374641\pi\) | |||||||
\(660\) | −441.625 | − | 204.318i | −0.0260458 | − | 0.0120501i | ||||
\(661\) | 18412.2 | + | 13996.6i | 1.08344 | + | 0.823609i | 0.985175 | − | 0.171551i | \(-0.0548780\pi\) |
0.0982640 | + | 0.995160i | \(0.468671\pi\) | |||||||
\(662\) | −7697.48 | − | 46952.6i | −0.451920 | − | 2.75659i | ||||
\(663\) | −6880.36 | − | 12977.7i | −0.403033 | − | 0.760201i | ||||
\(664\) | −17121.3 | − | 3768.67i | −1.00065 | − | 0.220260i | ||||
\(665\) | −19711.4 | + | 9119.46i | −1.14944 | + | 0.531785i | ||||
\(666\) | −513.019 | + | 1287.58i | −0.0298484 | + | 0.0749140i | ||||
\(667\) | −1134.25 | + | 20919.9i | −0.0658444 | + | 1.21443i | ||||
\(668\) | 15799.7 | − | 23302.7i | 0.915130 | − | 1.34972i | ||||
\(669\) | 8286.70 | − | 9755.85i | 0.478897 | − | 0.563801i | ||||
\(670\) | −6771.13 | + | 12771.7i | −0.390435 | + | 0.736438i | ||||
\(671\) | −262.973 | − | 88.6059i | −0.0151296 | − | 0.00509775i | ||||
\(672\) | −914.683 | − | 16870.3i | −0.0525070 | − | 0.968434i | ||||
\(673\) | 1958.35 | + | 1178.30i | 0.112167 | + | 0.0674889i | 0.570532 | − | 0.821275i | \(-0.306737\pi\) |
−0.458365 | + | 0.888764i | \(0.651565\pi\) | |||||||
\(674\) | 5166.16 | − | 18606.8i | 0.295242 | − | 1.06336i | ||||
\(675\) | 8.91300 | + | 32.1017i | 0.000508239 | + | 0.00183051i | ||||
\(676\) | −700.179 | + | 421.284i | −0.0398372 | + | 0.0239693i | ||||
\(677\) | −1589.27 | − | 2344.00i | −0.0902226 | − | 0.133068i | 0.779899 | − | 0.625905i | \(-0.215270\pi\) |
−0.870122 | + | 0.492837i | \(0.835960\pi\) | |||||||
\(678\) | 29760.4 | + | 3236.64i | 1.68575 | + | 0.183337i | ||||
\(679\) | −22757.1 | − | 2474.98i | −1.28621 | − | 0.139884i | ||||
\(680\) | −11465.3 | − | 16910.1i | −0.646581 | − | 0.953635i | ||||
\(681\) | 16200.3 | − | 9747.38i | 0.911594 | − | 0.548488i | ||||
\(682\) | 228.957 | + | 824.630i | 0.0128552 | + | 0.0463002i | ||||
\(683\) | 7545.66 | − | 27177.0i | 0.422733 | − | 1.52255i | −0.379304 | − | 0.925272i | \(-0.623836\pi\) |
0.802037 | − | 0.597275i | \(-0.203750\pi\) | |||||||
\(684\) | 6889.30 | + | 4145.15i | 0.385115 | + | 0.231716i | ||||
\(685\) | −52.6436 | − | 970.955i | −0.00293637 | − | 0.0541581i | ||||
\(686\) | 88.3207 | + | 29.7587i | 0.00491560 | + | 0.00165626i | ||||
\(687\) | 6224.74 | − | 11741.1i | 0.345690 | − | 0.652040i | ||||
\(688\) | 3101.76 | − | 3651.67i | 0.171880 | − | 0.202353i | ||||
\(689\) | −16097.2 | + | 23741.5i | −0.890063 | + | 1.31274i | ||||
\(690\) | 617.524 | − | 11389.6i | 0.0340706 | − | 0.628396i | ||||
\(691\) | −10710.0 | + | 26880.1i | −0.589620 | + | 1.47984i | 0.266901 | + | 0.963724i | \(0.414000\pi\) |
−0.856521 | + | 0.516112i | \(0.827379\pi\) | |||||||
\(692\) | −37144.8 | + | 17185.0i | −2.04051 | + | 0.944040i | ||||
\(693\) | 280.044 | + | 61.6424i | 0.0153507 | + | 0.00337894i | ||||
\(694\) | 5236.78 | + | 9877.61i | 0.286434 | + | 0.540272i | ||||
\(695\) | −1161.18 | − | 7082.88i | −0.0633756 | − | 0.386574i | ||||
\(696\) | −11685.6 | − | 8883.20i | −0.636413 | − | 0.483788i | ||||
\(697\) | −7787.15 | − | 3602.72i | −0.423184 | − | 0.195786i | ||||
\(698\) | 30633.8 | − | 29017.8i | 1.66118 | − | 1.57355i | ||||
\(699\) | 533.640 | − | 3255.06i | 0.0288757 | − | 0.176134i | ||||
\(700\) | 367.500 | − | 123.825i | 0.0198431 | − | 0.00668593i | ||||
\(701\) | 5501.06 | + | 13806.6i | 0.296394 | + | 0.743892i | 0.999463 | + | 0.0327709i | \(0.0104332\pi\) |
−0.703069 | + | 0.711122i | \(0.748188\pi\) | |||||||
\(702\) | 4171.35 | + | 3951.32i | 0.224270 | + | 0.212440i | ||||
\(703\) | 2042.58 | − | 1552.73i | 0.109584 | − | 0.0833033i | ||||
\(704\) | −987.710 | + | 217.411i | −0.0528775 | + | 0.0116392i | ||||
\(705\) | 1116.12 | + | 1314.00i | 0.0596247 | + | 0.0701956i | ||||
\(706\) | −3815.77 | + | 414.990i | −0.203411 | + | 0.0221223i | ||||
\(707\) | 13391.6 | 0.712369 | ||||||||
\(708\) | 16304.2 | + | 58.8714i | 0.865467 | + | 0.00312503i | ||||
\(709\) | 27996.0 | 1.48295 | 0.741474 | − | 0.670981i | \(-0.234127\pi\) | ||||
0.741474 | + | 0.670981i | \(0.234127\pi\) | |||||||
\(710\) | 5984.49 | − | 650.853i | 0.316330 | − | 0.0344029i | ||||
\(711\) | 4563.75 | + | 5372.86i | 0.240723 | + | 0.283401i | ||||
\(712\) | 6146.01 | − | 1352.84i | 0.323499 | − | 0.0712075i | ||||
\(713\) | −9579.93 | + | 7282.47i | −0.503185 | + | 0.382512i | ||||
\(714\) | 26255.4 | + | 24870.4i | 1.37617 | + | 1.30357i | ||||
\(715\) | 238.263 | + | 597.996i | 0.0124623 | + | 0.0312780i | ||||
\(716\) | −31227.5 | + | 10521.8i | −1.62993 | + | 0.549186i | ||||
\(717\) | 889.972 | − | 5428.59i | 0.0463551 | − | 0.282754i | ||||
\(718\) | −12890.1 | + | 12210.1i | −0.669991 | + | 0.634649i | ||||
\(719\) | −10159.4 | − | 4700.25i | −0.526958 | − | 0.243797i | 0.138327 | − | 0.990387i | \(-0.455828\pi\) |
−0.665284 | + | 0.746590i | \(0.731690\pi\) | |||||||
\(720\) | −1285.10 | − | 976.908i | −0.0665179 | − | 0.0505656i | ||||
\(721\) | −6466.58 | − | 39444.4i | −0.334020 | − | 2.03743i | ||||
\(722\) | 2742.98 | + | 5173.81i | 0.141389 | + | 0.266689i | ||||
\(723\) | 8400.68 | + | 1849.13i | 0.432123 | + | 0.0951174i | ||||
\(724\) | 30022.7 | − | 13890.0i | 1.54114 | − | 0.713006i | ||||
\(725\) | −125.188 | + | 314.197i | −0.00641290 | + | 0.0160952i | ||||
\(726\) | −965.513 | + | 17807.8i | −0.0493575 | + | 0.910346i | ||||
\(727\) | 4132.28 | − | 6094.66i | 0.210809 | − | 0.310919i | −0.707554 | − | 0.706659i | \(-0.750201\pi\) |
0.918363 | + | 0.395740i | \(0.129512\pi\) | |||||||
\(728\) | 14414.0 | − | 16969.5i | 0.733817 | − | 0.863916i | ||||
\(729\) | 341.470 | − | 644.080i | 0.0173485 | − | 0.0327227i | ||||
\(730\) | 48934.7 | + | 16488.0i | 2.48103 | + | 0.835958i | ||||
\(731\) | 1655.16 | + | 30527.7i | 0.0837462 | + | 1.54461i | ||||
\(732\) | 7036.40 | + | 4233.66i | 0.355291 | + | 0.213771i | ||||
\(733\) | 8288.68 | − | 29853.1i | 0.417666 | − | 1.50430i | −0.393413 | − | 0.919362i | \(-0.628706\pi\) |
0.811079 | − | 0.584936i | \(-0.198881\pi\) | |||||||
\(734\) | −9630.64 | − | 34686.4i | −0.484296 | − | 1.74428i | ||||
\(735\) | 9831.74 | − | 5915.56i | 0.493400 | − | 0.296869i | ||||
\(736\) | −9217.74 | − | 13595.1i | −0.461644 | − | 0.680875i | ||||
\(737\) | −351.233 | − | 38.1989i | −0.0175547 | − | 0.00190919i | ||||
\(738\) | 3336.56 | + | 362.873i | 0.166424 | + | 0.0180996i | ||||
\(739\) | 2457.12 | + | 3623.98i | 0.122309 | + | 0.180393i | 0.883914 | − | 0.467649i | \(-0.154899\pi\) |
−0.761605 | + | 0.648041i | \(0.775588\pi\) | |||||||
\(740\) | 3937.39 | − | 2369.05i | 0.195596 | − | 0.117686i | ||||
\(741\) | −2845.50 | − | 10248.6i | −0.141069 | − | 0.508084i | ||||
\(742\) | 18893.4 | − | 68047.8i | 0.934768 | − | 3.36673i | ||||
\(743\) | 16733.1 | + | 10068.0i | 0.826217 | + | 0.497118i | 0.864788 | − | 0.502138i | \(-0.167453\pi\) |
−0.0385708 | + | 0.999256i | \(0.512280\pi\) | |||||||
\(744\) | −456.456 | − | 8418.83i | −0.0224926 | − | 0.414851i | ||||
\(745\) | −14935.1 | − | 5032.22i | −0.734470 | − | 0.247472i | ||||
\(746\) | −16670.6 | + | 31444.0i | −0.818167 | + | 1.54323i | ||||
\(747\) | 5722.11 | − | 6736.58i | 0.280269 | − | 0.329958i | ||||
\(748\) | 841.733 | − | 1241.46i | 0.0411455 | − | 0.0606850i | ||||
\(749\) | −1630.02 | + | 30063.9i | −0.0795188 | + | 1.46664i | ||||
\(750\) | 6972.59 | − | 17499.9i | 0.339470 | − | 0.852007i | ||||
\(751\) | −29991.1 | + | 13875.3i | −1.45724 | + | 0.674192i | −0.978967 | − | 0.204018i | \(-0.934600\pi\) |
−0.478275 | + | 0.878210i | \(0.658738\pi\) | |||||||
\(752\) | 813.355 | + | 179.033i | 0.0394415 | + | 0.00868173i | ||||
\(753\) | −7318.89 | − | 13804.9i | −0.354203 | − | 0.668098i | ||||
\(754\) | 9436.63 | + | 57560.9i | 0.455785 | + | 2.78017i | ||||
\(755\) | −20431.4 | − | 15531.6i | −0.984869 | − | 0.748678i | ||||
\(756\) | −7701.30 | − | 3563.00i | −0.370494 | − | 0.171409i | ||||
\(757\) | −5771.54 | + | 5467.10i | −0.277107 | + | 0.262490i | −0.813613 | − | 0.581407i | \(-0.802503\pi\) |
0.536506 | + | 0.843897i | \(0.319744\pi\) | |||||||
\(758\) | 3395.78 | − | 20713.4i | 0.162718 | − | 0.992537i | ||||
\(759\) | 264.184 | − | 89.0138i | 0.0126341 | − | 0.00425691i | ||||
\(760\) | −5475.76 | − | 13743.1i | −0.261351 | − | 0.655941i | ||||
\(761\) | 10709.5 | + | 10144.6i | 0.510145 | + | 0.483235i | 0.898929 | − | 0.438093i | \(-0.144346\pi\) |
−0.388784 | + | 0.921329i | \(0.627105\pi\) | |||||||
\(762\) | −9496.17 | + | 7218.80i | −0.451456 | + | 0.343188i | ||||
\(763\) | −41401.5 | + | 9113.16i | −1.96440 | + | 0.432396i | ||||
\(764\) | 15554.8 | + | 18312.5i | 0.736586 | + | 0.867176i | ||||
\(765\) | 10240.2 | − | 1113.69i | 0.483967 | − | 0.0526345i | ||||
\(766\) | 11576.9 | 0.546071 | ||||||||
\(767\) | −15605.2 | − | 14889.3i | −0.734642 | − | 0.700940i | ||||
\(768\) | 6867.91 | 0.322688 | ||||||||
\(769\) | 29808.0 | − | 3241.81i | 1.39779 | − | 0.152019i | 0.622005 | − | 0.783013i | \(-0.286318\pi\) |
0.775788 | + | 0.630994i | \(0.217353\pi\) | |||||||
\(770\) | −1026.02 | − | 1207.92i | −0.0480196 | − | 0.0565331i | ||||
\(771\) | −21105.4 | + | 4645.65i | −0.985854 | + | 0.217003i | ||||
\(772\) | −16874.3 | + | 12827.5i | −0.786681 | + | 0.598019i | ||||
\(773\) | 1347.57 | + | 1276.49i | 0.0627022 | + | 0.0593947i | 0.718409 | − | 0.695621i | \(-0.244871\pi\) |
−0.655707 | + | 0.755016i | \(0.727629\pi\) | |||||||
\(774\) | −4426.42 | − | 11109.5i | −0.205561 | − | 0.515919i | ||||
\(775\) | −184.097 | + | 62.0297i | −0.00853287 | + | 0.00287506i | ||||
\(776\) | 2522.59 | − | 15387.1i | 0.116695 | − | 0.711810i | ||||
\(777\) | −1965.91 | + | 1862.21i | −0.0907679 | + | 0.0859799i | ||||
\(778\) | −29826.1 | − | 13799.0i | −1.37444 | − | 0.635885i | ||||
\(779\) | −4946.09 | − | 3759.92i | −0.227487 | − | 0.172931i | ||||
\(780\) | −3081.80 | − | 18798.1i | −0.141469 | − | 0.862924i | ||||
\(781\) | 68.9156 | + | 129.989i | 0.00315748 | + | 0.00595565i | ||||
\(782\) | 34337.3 | + | 7558.20i | 1.57020 | + | 0.345628i | ||||
\(783\) | 6716.67 | − | 3107.46i | 0.306557 | − | 0.141828i | ||||
\(784\) | 2051.61 | − | 5149.14i | 0.0934587 | − | 0.234564i | ||||
\(785\) | −935.378 | + | 17252.0i | −0.0425288 | + | 0.784397i | ||||
\(786\) | −5023.13 | + | 7408.56i | −0.227950 | + | 0.336202i | ||||
\(787\) | −8816.13 | + | 10379.1i | −0.399315 | + | 0.470110i | −0.924668 | − | 0.380774i | \(-0.875657\pi\) |
0.525353 | + | 0.850884i | \(0.323933\pi\) | |||||||
\(788\) | −16873.4 | + | 31826.5i | −0.762803 | + | 1.43880i | ||||
\(789\) | 12302.1 | + | 4145.06i | 0.555090 | + | 0.187032i | ||||
\(790\) | −2109.39 | − | 38905.5i | −0.0949985 | − | 1.75215i | ||||
\(791\) | 50114.2 | + | 30152.7i | 2.25266 | + | 1.35538i | ||||
\(792\) | −52.2537 | + | 188.201i | −0.00234439 | + | 0.00844372i | ||||
\(793\) | −2906.26 | − | 10467.4i | −0.130144 | − | 0.468736i | ||||
\(794\) | −41870.6 | + | 25192.7i | −1.87145 | + | 1.12601i | ||||
\(795\) | −11288.2 | − | 16648.8i | −0.503586 | − | 0.742733i | ||||
\(796\) | −7649.19 | − | 831.899i | −0.340601 | − | 0.0370426i | ||||
\(797\) | −18943.0 | − | 2060.18i | −0.841902 | − | 0.0915623i | −0.323003 | − | 0.946398i | \(-0.604692\pi\) |
−0.518899 | + | 0.854836i | \(0.673658\pi\) | |||||||
\(798\) | 14695.8 | + | 21674.7i | 0.651913 | + | 0.961500i | ||||
\(799\) | −4553.55 | + | 2739.78i | −0.201618 | + | 0.121310i | ||||
\(800\) | −70.9392 | − | 255.500i | −0.00313510 | − | 0.0112916i | ||||
\(801\) | −848.828 | + | 3057.20i | −0.0374430 | + | 0.134858i | ||||
\(802\) | 11092.8 | + | 6674.31i | 0.488404 | + | 0.293863i | ||||
\(803\) | 68.3265 | + | 1260.21i | 0.00300273 | + | 0.0553821i | ||||
\(804\) | 9907.82 | + | 3338.33i | 0.434605 | + | 0.146435i | ||||
\(805\) | 10438.3 | − | 19688.7i | 0.457021 | − | 0.862032i | ||||
\(806\) | −21689.6 | + | 25534.9i | −0.947869 | + | 1.11592i | ||||
\(807\) | −2216.29 | + | 3268.78i | −0.0966754 | + | 0.142586i | ||||
\(808\) | −493.844 | + | 9108.42i | −0.0215017 | + | 0.396575i | ||||
\(809\) | 12980.8 | − | 32579.3i | 0.564128 | − | 1.41585i | −0.319465 | − | 0.947598i | \(-0.603503\pi\) |
0.883593 | − | 0.468256i | \(-0.155118\pi\) | |||||||
\(810\) | −3656.79 | + | 1691.81i | −0.158625 | + | 0.0733880i | ||||
\(811\) | 13403.0 | + | 2950.22i | 0.580323 | + | 0.127739i | 0.495425 | − | 0.868651i | \(-0.335012\pi\) |
0.0848984 | + | 0.996390i | \(0.472943\pi\) | |||||||
\(812\) | −40350.6 | − | 76109.3i | −1.74388 | − | 3.28930i | ||||
\(813\) | 3219.00 | + | 19635.0i | 0.138862 | + | 0.847023i | ||||
\(814\) | 149.051 | + | 113.306i | 0.00641799 | + | 0.00487883i | ||||
\(815\) | −16857.4 | − | 7799.07i | −0.724527 | − | 0.335202i | ||||
\(816\) | 3612.46 | − | 3421.90i | 0.154977 | − | 0.146802i | ||||
\(817\) | −3581.49 | + | 21846.1i | −0.153367 | + | 0.935495i | ||||
\(818\) | −35735.3 | + | 12040.6i | −1.52745 | + | 0.514659i | ||||
\(819\) | 4154.97 | + | 10428.2i | 0.177273 | + | 0.444921i | ||||
\(820\) | −8078.25 | − | 7652.12i | −0.344030 | − | 0.325883i | ||||
\(821\) | 7815.53 | − | 5941.21i | 0.332234 | − | 0.252558i | −0.425736 | − | 0.904848i | \(-0.639985\pi\) |
0.757970 | + | 0.652290i | \(0.226192\pi\) | |||||||
\(822\) | −1145.02 | + | 252.039i | −0.0485855 | + | 0.0106945i | ||||
\(823\) | 4839.60 | + | 5697.62i | 0.204979 | + | 0.241320i | 0.855040 | − | 0.518562i | \(-0.173532\pi\) |
−0.650061 | + | 0.759882i | \(0.725257\pi\) | |||||||
\(824\) | 27066.8 | − | 2943.70i | 1.14432 | − | 0.124452i | ||||
\(825\) | 4.50045 | 0.000189922 | ||||||||
\(826\) | 48114.7 | + | 22471.5i | 2.02678 | + | 0.946589i | ||||
\(827\) | −32276.2 | −1.35714 | −0.678569 | − | 0.734537i | \(-0.737400\pi\) | ||||
−0.678569 | + | 0.734537i | \(0.737400\pi\) | |||||||
\(828\) | −8201.32 | + | 891.947i | −0.344222 | + | 0.0374364i | ||||
\(829\) | −6931.31 | − | 8160.17i | −0.290391 | − | 0.341875i | 0.597550 | − | 0.801831i | \(-0.296141\pi\) |
−0.887941 | + | 0.459957i | \(0.847865\pi\) | |||||||
\(830\) | −47709.9 | + | 10501.7i | −1.99522 | + | 0.439182i | ||||
\(831\) | −626.151 | + | 475.987i | −0.0261383 | + | 0.0198698i | ||||
\(832\) | −28743.5 | − | 27227.3i | −1.19772 | − | 1.13454i | ||||
\(833\) | 13091.3 | + | 32856.6i | 0.544520 | + | 1.36664i | ||||
\(834\) | −8201.07 | + | 2763.26i | −0.340504 | + | 0.114729i | ||||
\(835\) | 4225.39 | − | 25773.7i | 0.175121 | − | 1.06819i | ||||
\(836\) | 788.502 | − | 746.909i | 0.0326207 | − | 0.0309000i | ||||
\(837\) | 3857.93 | + | 1784.87i | 0.159319 | + | 0.0737086i | ||||
\(838\) | 19332.4 | + | 14696.1i | 0.796930 | + | 0.605810i | ||||
\(839\) | 212.199 | + | 1294.36i | 0.00873174 | + | 0.0532613i | 0.990833 | − | 0.135092i | \(-0.0431331\pi\) |
−0.982101 | + | 0.188354i | \(0.939685\pi\) | |||||||
\(840\) | 7313.42 | + | 13794.6i | 0.300401 | + | 0.566617i | ||||
\(841\) | 49555.0 | + | 10907.9i | 2.03186 | + | 0.447246i | ||||
\(842\) | 5346.34 | − | 2473.48i | 0.218821 | − | 0.101237i | ||||
\(843\) | 144.095 | − | 361.652i | 0.00588719 | − | 0.0147757i | ||||
\(844\) | 655.914 | − | 12097.6i | 0.0267506 | − | 0.493385i | ||||
\(845\) | −425.408 | + | 627.429i | −0.0173189 | + | 0.0255435i | ||||
\(846\) | 1345.74 | − | 1584.33i | 0.0546899 | − | 0.0643859i | ||||
\(847\) | −16320.5 | + | 30783.8i | −0.662077 | + | 1.24881i | ||||
\(848\) | −9208.18 | − | 3102.60i | −0.372889 | − | 0.125641i | ||||
\(849\) | −630.799 | − | 11634.4i | −0.0254994 | − | 0.470309i | ||||
\(850\) | 486.349 | + | 292.627i | 0.0196255 | + | 0.0118082i | ||||
\(851\) | −704.296 | + | 2536.64i | −0.0283701 | + | 0.102180i | ||||
\(852\) | −1164.78 | − | 4195.15i | −0.0468364 | − | 0.168690i | ||||
\(853\) | 29418.7 | − | 17700.6i | 1.18086 | − | 0.710502i | 0.216810 | − | 0.976214i | \(-0.430435\pi\) |
0.964052 | + | 0.265712i | \(0.0856071\pi\) | |||||||
\(854\) | 15009.6 | + | 22137.5i | 0.601427 | + | 0.887039i | ||||
\(855\) | 7414.98 | + | 806.427i | 0.296593 | + | 0.0322564i | ||||
\(856\) | −20388.1 | − | 2217.33i | −0.814076 | − | 0.0885361i | ||||
\(857\) | −13418.1 | − | 19790.2i | −0.534834 | − | 0.788822i | 0.460257 | − | 0.887786i | \(-0.347757\pi\) |
−0.995091 | + | 0.0989643i | \(0.968447\pi\) | |||||||
\(858\) | 665.049 | − | 400.147i | 0.0264620 | − | 0.0159217i | ||||
\(859\) | 9787.56 | + | 35251.6i | 0.388763 | + | 1.40020i | 0.856417 | + | 0.516285i | \(0.172685\pi\) |
−0.467654 | + | 0.883912i | \(0.654901\pi\) | |||||||
\(860\) | −10606.9 | + | 38202.6i | −0.420573 | + | 1.51477i | ||||
\(861\) | 5618.52 | + | 3380.55i | 0.222391 | + | 0.133808i | ||||
\(862\) | 2134.94 | + | 39376.6i | 0.0843576 | + | 1.55588i | ||||
\(863\) | −33840.7 | − | 11402.3i | −1.33482 | − | 0.449753i | −0.440730 | − | 0.897640i | \(-0.645280\pi\) |
−0.894091 | + | 0.447886i | \(0.852177\pi\) | |||||||
\(864\) | −2717.78 | + | 5126.28i | −0.107015 | + | 0.201851i | ||||
\(865\) | −24579.6 | + | 28937.4i | −0.966164 | + | 1.13746i | ||||
\(866\) | 15037.6 | − | 22178.9i | 0.590069 | − | 0.870287i | ||||
\(867\) | −921.007 | + | 16987.0i | −0.0360773 | + | 0.665407i | ||||
\(868\) | 18314.3 | − | 45965.4i | 0.716160 | − | 1.79743i | ||||
\(869\) | 864.257 | − | 399.848i | 0.0337375 | − | 0.0156086i | ||||
\(870\) | −39947.3 | − | 8793.06i | −1.55671 | − | 0.342658i | ||||
\(871\) | −6478.52 | − | 12219.8i | −0.252028 | − | 0.475375i | ||||
\(872\) | −4671.61 | − | 28495.6i | −0.181423 | − | 1.10663i | ||||
\(873\) | 6258.38 | + | 4757.50i | 0.242628 | + | 0.184441i | ||||
\(874\) | 23106.0 | + | 10690.0i | 0.894247 | + | 0.413723i | ||||
\(875\) | 26719.3 | − | 25309.8i | 1.03232 | − | 0.977861i | ||||
\(876\) | 6042.14 | − | 36855.4i | 0.233042 | − | 1.42149i | ||||
\(877\) | 14654.5 | − | 4937.66i | 0.564248 | − | 0.190117i | −0.0226993 | − | 0.999742i | \(-0.507226\pi\) |
0.586948 | + | 0.809625i | \(0.300329\pi\) | |||||||
\(878\) | −19678.5 | − | 49389.4i | −0.756399 | − | 1.89842i | ||||
\(879\) | 13250.6 | + | 12551.6i | 0.508453 | + | 0.481632i | ||||
\(880\) | −173.596 | + | 131.964i | −0.00664991 | + | 0.00505513i | ||||
\(881\) | 12015.7 | − | 2644.86i | 0.459500 | − | 0.101144i | 0.0208126 | − | 0.999783i | \(-0.493375\pi\) |
0.438687 | + | 0.898640i | \(0.355444\pi\) | |||||||
\(882\) | −8956.49 | − | 10544.4i | −0.341928 | − | 0.402549i | ||||
\(883\) | −21805.9 | + | 2371.54i | −0.831062 | + | 0.0903835i | −0.513752 | − | 0.857938i | \(-0.671745\pi\) |
−0.317310 | + | 0.948322i | \(0.602779\pi\) | |||||||
\(884\) | 58717.7 | 2.23404 | ||||||||
\(885\) | 13750.1 | − | 6301.28i | 0.522264 | − | 0.239339i | ||||
\(886\) | −34410.3 | −1.30478 | ||||||||
\(887\) | −20132.3 | + | 2189.52i | −0.762094 | + | 0.0828827i | −0.480908 | − | 0.876771i | \(-0.659693\pi\) |
−0.281185 | + | 0.959653i | \(0.590728\pi\) | |||||||
\(888\) | −1194.10 | − | 1405.80i | −0.0451253 | − | 0.0531256i | ||||
\(889\) | −22759.9 | + | 5009.84i | −0.858654 | + | 0.189004i | ||||
\(890\) | 13960.6 | − | 10612.6i | 0.525798 | − | 0.399701i | ||||
\(891\) | −71.4931 | − | 67.7218i | −0.00268811 | − | 0.00254631i | ||||
\(892\) | 18939.3 | + | 47534.1i | 0.710914 | + | 1.78426i | ||||
\(893\) | −3646.65 | + | 1228.70i | −0.136652 | + | 0.0460435i | ||||
\(894\) | −3074.27 | + | 18752.2i | −0.115010 | + | 0.701529i | ||||
\(895\) | −22193.1 | + | 21022.5i | −0.828866 | + | 0.785143i | ||||
\(896\) | 47578.6 | + | 22012.2i | 1.77398 | + | 0.820732i | ||||
\(897\) | 8688.06 | + | 6604.49i | 0.323396 | + | 0.245839i | ||||
\(898\) | 13538.3 | + | 82579.8i | 0.503094 | + | 3.06874i | ||||
\(899\) | 20213.5 | + | 38126.6i | 0.749896 | + | 1.41445i | ||||
\(900\) | −130.066 | − | 28.6296i | −0.00481725 | − | 0.00106036i | ||||
\(901\) | 56272.3 | − | 26034.3i | 2.08069 | − | 0.962630i | ||||
\(902\) | 167.810 | − | 421.172i | 0.00619454 | − | 0.0155471i | ||||
\(903\) | 1264.91 | − | 23329.8i | 0.0466151 | − | 0.859765i | ||||
\(904\) | −22356.6 | + | 32973.6i | −0.822534 | + | 1.21315i | ||||
\(905\) | 19866.7 | − | 23388.9i | 0.729716 | − | 0.859088i | ||||
\(906\) | −14494.8 | + | 27340.1i | −0.531520 | + | 1.00255i | ||||
\(907\) | 3047.77 | + | 1026.91i | 0.111576 | + | 0.0375944i | 0.374536 | − | 0.927212i | \(-0.377802\pi\) |
−0.262960 | + | 0.964807i | \(0.584699\pi\) | |||||||
\(908\) | 4091.72 | + | 75467.4i | 0.149547 | + | 2.75823i | ||||
\(909\) | −3940.68 | − | 2371.03i | −0.143789 | − | 0.0865149i | ||||
\(910\) | 16598.3 | − | 59781.7i | 0.604646 | − | 2.17774i | ||||
\(911\) | 12960.7 | + | 46680.1i | 0.471357 | + | 1.69767i | 0.691644 | + | 0.722239i | \(0.256887\pi\) |
−0.220287 | + | 0.975435i | \(0.570699\pi\) | |||||||
\(912\) | 3087.31 | − | 1857.57i | 0.112095 | − | 0.0674455i | ||||
\(913\) | −670.043 | − | 988.239i | −0.0242883 | − | 0.0358225i | ||||
\(914\) | −16922.9 | − | 1840.47i | −0.612428 | − | 0.0666055i | ||||
\(915\) | 7573.31 | + | 823.647i | 0.273624 | + | 0.0297584i | ||||
\(916\) | 29811.7 | + | 43969.0i | 1.07534 | + | 1.58600i | ||||
\(917\) | −14984.3 | + | 9015.74i | −0.539612 | + | 0.324674i | ||||
\(918\) | −3322.64 | − | 11967.1i | −0.119459 | − | 0.430253i | ||||
\(919\) | −10634.7 | + | 38302.6i | −0.381725 | + | 1.37485i | 0.484324 | + | 0.874889i | \(0.339066\pi\) |
−0.866049 | + | 0.499960i | \(0.833348\pi\) | |||||||
\(920\) | 13006.5 | + | 7825.74i | 0.466099 | + | 0.280442i | ||||
\(921\) | −943.223 | − | 17396.7i | −0.0337462 | − | 0.622412i | ||||
\(922\) | −63682.6 | − | 21457.2i | −2.27470 | − | 0.766436i | ||||
\(923\) | −2697.87 | + | 5088.71i | −0.0962095 | + | 0.181470i | ||||
\(924\) | −742.074 | + | 873.638i | −0.0264204 | + | 0.0311045i | ||||
\(925\) | −23.8502 | + | 35.1765i | −0.000847774 | + | 0.00125037i | ||||
\(926\) | −501.561 | + | 9250.75i | −0.0177995 | + | 0.328292i | ||||
\(927\) | −5080.86 | + | 12752.0i | −0.180019 | + | 0.451813i | ||||
\(928\) | −53458.5 | + | 24732.5i | −1.89101 | + | 0.874876i | ||||
\(929\) | 39278.2 | + | 8645.78i | 1.38716 | + | 0.305338i | 0.844924 | − | 0.534887i | \(-0.179646\pi\) |
0.542239 | + | 0.840224i | \(0.317577\pi\) | |||||||
\(930\) | −11004.9 | − | 20757.5i | −0.388027 | − | 0.731897i | ||||
\(931\) | 4143.33 | + | 25273.2i | 0.145856 | + | 0.889685i | ||||
\(932\) | 10497.0 | + | 7979.61i | 0.368927 | + | 0.280451i | ||||
\(933\) | 9231.48 | + | 4270.94i | 0.323928 | + | 0.149865i | ||||
\(934\) | 21642.6 | − | 20500.9i | 0.758208 | − | 0.718213i | ||||
\(935\) | 225.109 | − | 1373.11i | 0.00787365 | − | 0.0480271i | ||||
\(936\) | −7246.02 | + | 2441.47i | −0.253038 | + | 0.0852584i | ||||
\(937\) | −16122.3 | − | 40463.8i | −0.562104 | − | 1.41077i | −0.885557 | − | 0.464530i | \(-0.846223\pi\) |
0.323454 | − | 0.946244i | \(-0.395156\pi\) | |||||||
\(938\) | 24722.0 | + | 23417.9i | 0.860555 | + | 0.815161i | ||||
\(939\) | 21422.3 | − | 16284.8i | 0.744507 | − | 0.565959i | ||||
\(940\) | −6730.62 | + | 1481.52i | −0.233541 | + | 0.0514063i | ||||
\(941\) | 25795.9 | + | 30369.3i | 0.893647 | + | 1.05208i | 0.998341 | + | 0.0575777i | \(0.0183377\pi\) |
−0.104694 | + | 0.994504i | \(0.533386\pi\) | |||||||
\(942\) | 20709.8 | − | 2252.33i | 0.716309 | − | 0.0779033i | ||||
\(943\) | 6374.83 | 0.220141 | ||||||||
\(944\) | 3445.70 | − | 6442.96i | 0.118801 | − | 0.222140i | ||||
\(945\) | −7871.88 | −0.270976 | ||||||||
\(946\) | −1605.97 | + | 174.660i | −0.0551951 | + | 0.00600283i | ||||
\(947\) | −12284.4 | − | 14462.3i | −0.421530 | − | 0.496264i | 0.509875 | − | 0.860249i | \(-0.329692\pi\) |
−0.931405 | + | 0.363985i | \(0.881416\pi\) | |||||||
\(948\) | −27521.2 | + | 6057.86i | −0.942875 | + | 0.207542i | ||||
\(949\) | −39332.0 | + | 29899.4i | −1.34539 | + | 1.02274i | ||||
\(950\) | 298.384 | + | 282.645i | 0.0101904 | + | 0.00965284i | ||||
\(951\) | −7834.05 | − | 19662.0i | −0.267126 | − | 0.670435i | ||||
\(952\) | −45608.0 | + | 15367.1i | −1.55269 | + | 0.523163i | ||||
\(953\) | 1606.19 | − | 9797.31i | 0.0545955 | − | 0.333018i | −0.945380 | − | 0.325971i | \(-0.894309\pi\) |
0.999975 | − | 0.00704654i | \(-0.00224300\pi\) | |||||||
\(954\) | −17607.7 | + | 16678.9i | −0.597558 | + | 0.566037i | ||||
\(955\) | 20229.2 | + | 9359.04i | 0.685447 | + | 0.317122i | ||||
\(956\) | 17506.2 | + | 13307.9i | 0.592252 | + | 0.450218i | ||||
\(957\) | −161.735 | − | 986.540i | −0.00546306 | − | 0.0333232i | ||||
\(958\) | −39110.8 | − | 73770.8i | −1.31901 | − | 2.48792i | ||||
\(959\) | −2237.05 | − | 492.411i | −0.0753264 | − | 0.0165806i | ||||
\(960\) | 25197.9 | − | 11657.8i | 0.847143 | − | 0.391930i | ||||
\(961\) | 1852.33 | − | 4649.01i | 0.0621776 | − | 0.156054i | ||||
\(962\) | −396.811 | + | 7318.75i | −0.0132991 | + | 0.245287i | ||||
\(963\) | 5802.56 | − | 8558.13i | 0.194169 | − | 0.286378i | ||||
\(964\) | −22260.5 | + | 26207.1i | −0.743737 | + | 0.875595i | ||||
\(965\) | −9210.48 | + | 17372.8i | −0.307250 | + | 0.579534i | ||||
\(966\) | −25462.8 | − | 8579.42i | −0.848088 | − | 0.285754i | ||||
\(967\) | −1742.95 | − | 32146.8i | −0.0579623 | − | 1.06905i | −0.872398 | − | 0.488797i | \(-0.837436\pi\) |
0.814435 | − | 0.580254i | \(-0.197047\pi\) | |||||||
\(968\) | −20335.9 | − | 12235.7i | −0.675229 | − | 0.406272i | ||||
\(969\) | −6150.76 | + | 22153.0i | −0.203912 | + | 0.734425i | ||||
\(970\) | −11624.1 | − | 41866.1i | −0.384770 | − | 1.38581i | ||||
\(971\) | −6660.84 | + | 4007.69i | −0.220140 | + | 0.132454i | −0.621353 | − | 0.783531i | \(-0.713417\pi\) |
0.401212 | + | 0.915985i | \(0.368589\pi\) | |||||||
\(972\) | 1635.38 | + | 2412.00i | 0.0539658 | + | 0.0795936i | ||||
\(973\) | −16808.5 | − | 1828.03i | −0.553808 | − | 0.0602303i | ||||
\(974\) | −53739.5 | − | 5844.52i | −1.76789 | − | 0.192270i | ||||
\(975\) | 98.8705 | + | 145.823i | 0.00324758 | + | 0.00478982i | ||||
\(976\) | 3153.23 | − | 1897.23i | 0.103414 | − | 0.0622223i | ||||
\(977\) | −9420.16 | − | 33928.3i | −0.308472 | − | 1.11102i | −0.941535 | − | 0.336916i | \(-0.890616\pi\) |
0.633062 | − | 0.774101i | \(-0.281798\pi\) | |||||||
\(978\) | −5991.43 | + | 21579.2i | −0.195895 | + | 0.705548i | ||||
\(979\) | 367.249 | + | 220.966i | 0.0119891 | + | 0.00721360i | ||||
\(980\) | 2483.22 | + | 45800.2i | 0.0809423 | + | 1.49289i | ||||
\(981\) | 13796.5 | + | 4648.58i | 0.449019 | + | 0.151292i | ||||
\(982\) | −33878.7 | + | 63902.1i | −1.10093 | + | 2.07658i | ||||
\(983\) | 15486.6 | − | 18232.2i | 0.502487 | − | 0.591573i | −0.451182 | − | 0.892432i | \(-0.648998\pi\) |
0.953669 | + | 0.300859i | \(0.0972734\pi\) | |||||||
\(984\) | −2506.50 | + | 3696.81i | −0.0812034 | + | 0.119766i | ||||
\(985\) | −1809.19 | + | 33368.5i | −0.0585233 | + | 1.07940i | ||||
\(986\) | 46668.2 | − | 117128.i | 1.50732 | − | 3.78309i | ||||
\(987\) | 3685.89 | − | 1705.27i | 0.118868 | − | 0.0549944i | ||||
\(988\) | 41523.8 | + | 9140.08i | 1.33709 | + | 0.294317i | ||||
\(989\) | −10639.7 | − | 20068.6i | −0.342085 | − | 0.645242i | ||||
\(990\) | 88.0542 | + | 537.107i | 0.00282682 | + | 0.0172428i | ||||
\(991\) | −12396.1 | − | 9423.29i | −0.397352 | − | 0.302059i | 0.387349 | − | 0.921933i | \(-0.373391\pi\) |
−0.784702 | + | 0.619874i | \(0.787184\pi\) | |||||||
\(992\) | −30705.6 | − | 14205.9i | −0.982765 | − | 0.454675i | ||||
\(993\) | −23176.2 | + | 21953.6i | −0.740659 | + | 0.701589i | ||||
\(994\) | 2294.16 | − | 13993.8i | 0.0732056 | − | 0.446534i | ||||
\(995\) | −6764.17 | + | 2279.12i | −0.215516 | + | 0.0726159i | ||||
\(996\) | 13077.9 | + | 32823.1i | 0.416054 | + | 1.04422i | ||||
\(997\) | −11907.6 | − | 11279.5i | −0.378254 | − | 0.358301i | 0.474828 | − | 0.880079i | \(-0.342510\pi\) |
−0.853081 | + | 0.521778i | \(0.825269\pi\) | |||||||
\(998\) | −45020.6 | + | 34223.8i | −1.42796 | + | 1.08551i | ||||
\(999\) | 908.206 | − | 199.911i | 0.0287631 | − | 0.00633125i |
(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 | 177.4.e.a.133.14 | yes | 420 | |
59.4 | even | 29 | inner | 177.4.e.a.4.14 | ✓ | 420 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.e.a.4.14 | ✓ | 420 | 59.4 | even | 29 | inner | |
177.4.e.a.133.14 | yes | 420 | 1.1 | even | 1 | trivial |