Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(137,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 8, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.137");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.ch (of order \(12\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 137.6 | ||
Character | \(\chi\) | \(=\) | 546.137 |
Dual form | 546.2.ch.a.275.6 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | + | 0.707107i | −0.500000 | + | 0.500000i | ||||
\(3\) | −0.975072 | + | 1.43151i | −0.562958 | + | 0.826485i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | −0.438011 | − | 0.117365i | −0.195884 | − | 0.0524871i | 0.159543 | − | 0.987191i | \(-0.448998\pi\) |
−0.355427 | + | 0.934704i | \(0.615665\pi\) | |||||||
\(6\) | −0.322754 | − | 1.70171i | −0.131764 | − | 0.694722i | ||||
\(7\) | 2.35961 | + | 1.19677i | 0.891847 | + | 0.452337i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −1.09847 | − | 2.79166i | −0.366157 | − | 0.930553i | ||||
\(10\) | 0.392710 | − | 0.226731i | 0.124186 | − | 0.0716987i | ||||
\(11\) | 1.47365 | − | 5.49975i | 0.444324 | − | 1.65824i | −0.273393 | − | 0.961902i | \(-0.588146\pi\) |
0.717716 | − | 0.696336i | \(-0.245187\pi\) | |||||||
\(12\) | 1.43151 | + | 0.975072i | 0.413243 | + | 0.281479i | ||||
\(13\) | −0.258990 | − | 3.59624i | −0.0718308 | − | 0.997417i | ||||
\(14\) | −2.51474 | + | 0.822248i | −0.672092 | + | 0.219755i | ||||
\(15\) | 0.595101 | − | 0.512580i | 0.153654 | − | 0.132348i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −0.261719 | −0.0634761 | −0.0317381 | − | 0.999496i | \(-0.510104\pi\) | ||||
−0.0317381 | + | 0.999496i | \(0.510104\pi\) | |||||||
\(18\) | 2.75074 | + | 1.19727i | 0.648355 | + | 0.282198i | ||||
\(19\) | 1.37379 | − | 0.368107i | 0.315170 | − | 0.0844495i | −0.0977665 | − | 0.995209i | \(-0.531170\pi\) |
0.412936 | + | 0.910760i | \(0.364503\pi\) | |||||||
\(20\) | −0.117365 | + | 0.438011i | −0.0262435 | + | 0.0979422i | ||||
\(21\) | −4.01398 | + | 2.21087i | −0.875922 | + | 0.482452i | ||||
\(22\) | 2.84688 | + | 4.93094i | 0.606957 | + | 1.05128i | ||||
\(23\) | 4.08940 | 0.852699 | 0.426349 | − | 0.904559i | \(-0.359799\pi\) | ||||
0.426349 | + | 0.904559i | \(0.359799\pi\) | |||||||
\(24\) | −1.70171 | + | 0.322754i | −0.347361 | + | 0.0658819i | ||||
\(25\) | −4.15205 | − | 2.39719i | −0.830410 | − | 0.479437i | ||||
\(26\) | 2.72606 | + | 2.35979i | 0.534624 | + | 0.462793i | ||||
\(27\) | 5.06739 | + | 1.14959i | 0.975220 | + | 0.221239i | ||||
\(28\) | 1.19677 | − | 2.35961i | 0.226169 | − | 0.445924i | ||||
\(29\) | 4.54507 | + | 2.62410i | 0.843998 | + | 0.487282i | 0.858621 | − | 0.512611i | \(-0.171322\pi\) |
−0.0146233 | + | 0.999893i | \(0.504655\pi\) | |||||||
\(30\) | −0.0583513 | + | 0.783249i | −0.0106534 | + | 0.143001i | ||||
\(31\) | −3.85724 | + | 1.03354i | −0.692781 | + | 0.185630i | −0.587995 | − | 0.808865i | \(-0.700082\pi\) |
−0.104786 | + | 0.994495i | \(0.533416\pi\) | |||||||
\(32\) | 0.707107 | − | 0.707107i | 0.125000 | − | 0.125000i | ||||
\(33\) | 6.43606 | + | 7.47221i | 1.12037 | + | 1.30075i | ||||
\(34\) | 0.185063 | − | 0.185063i | 0.0317381 | − | 0.0317381i | ||||
\(35\) | −0.893074 | − | 0.801133i | −0.150957 | − | 0.135416i | ||||
\(36\) | −2.79166 | + | 1.09847i | −0.465277 | + | 0.183078i | ||||
\(37\) | 6.07241 | − | 6.07241i | 0.998299 | − | 0.998299i | −0.00169975 | − | 0.999999i | \(-0.500541\pi\) |
0.999999 | + | 0.00169975i | \(0.000541048\pi\) | |||||||
\(38\) | −0.711128 | + | 1.23171i | −0.115360 | + | 0.199810i | ||||
\(39\) | 5.40060 | + | 3.13584i | 0.864788 | + | 0.502137i | ||||
\(40\) | −0.226731 | − | 0.392710i | −0.0358493 | − | 0.0620929i | ||||
\(41\) | 1.56697 | + | 5.84799i | 0.244719 | + | 0.913303i | 0.973525 | + | 0.228583i | \(0.0734091\pi\) |
−0.728806 | + | 0.684721i | \(0.759924\pi\) | |||||||
\(42\) | 1.27499 | − | 4.40164i | 0.196735 | − | 0.679187i | ||||
\(43\) | 1.19950 | − | 0.692531i | 0.182922 | − | 0.105610i | −0.405743 | − | 0.913987i | \(-0.632987\pi\) |
0.588665 | + | 0.808377i | \(0.299654\pi\) | |||||||
\(44\) | −5.49975 | − | 1.47365i | −0.829119 | − | 0.222162i | ||||
\(45\) | 0.153499 | + | 1.35170i | 0.0228823 | + | 0.201499i | ||||
\(46\) | −2.89164 | + | 2.89164i | −0.426349 | + | 0.426349i | ||||
\(47\) | 2.42896 | − | 9.06499i | 0.354300 | − | 1.32226i | −0.527064 | − | 0.849826i | \(-0.676707\pi\) |
0.881363 | − | 0.472439i | \(-0.156626\pi\) | |||||||
\(48\) | 0.975072 | − | 1.43151i | 0.140740 | − | 0.206621i | ||||
\(49\) | 4.13548 | + | 5.64782i | 0.590782 | + | 0.806831i | ||||
\(50\) | 4.63101 | − | 1.24087i | 0.654923 | − | 0.175486i | ||||
\(51\) | 0.255195 | − | 0.374654i | 0.0357344 | − | 0.0524621i | ||||
\(52\) | −3.59624 | + | 0.258990i | −0.498708 | + | 0.0359154i | ||||
\(53\) | 3.14544 | + | 1.81602i | 0.432059 | + | 0.249450i | 0.700224 | − | 0.713924i | \(-0.253084\pi\) |
−0.268164 | + | 0.963373i | \(0.586417\pi\) | |||||||
\(54\) | −4.39607 | + | 2.77030i | −0.598229 | + | 0.376990i | ||||
\(55\) | −1.29095 | + | 2.23600i | −0.174072 | + | 0.301502i | ||||
\(56\) | 0.822248 | + | 2.51474i | 0.109877 | + | 0.336046i | ||||
\(57\) | −0.812597 | + | 2.32554i | −0.107631 | + | 0.308025i | ||||
\(58\) | −5.06936 | + | 1.35833i | −0.665640 | + | 0.178358i | ||||
\(59\) | 4.19304 | + | 4.19304i | 0.545887 | + | 0.545887i | 0.925249 | − | 0.379361i | \(-0.123856\pi\) |
−0.379361 | + | 0.925249i | \(0.623856\pi\) | |||||||
\(60\) | −0.512580 | − | 0.595101i | −0.0661738 | − | 0.0768272i | ||||
\(61\) | −4.77234 | + | 8.26593i | −0.611035 | + | 1.05834i | 0.380031 | + | 0.924974i | \(0.375913\pi\) |
−0.991066 | + | 0.133370i | \(0.957420\pi\) | |||||||
\(62\) | 1.99665 | − | 3.45831i | 0.253575 | − | 0.439206i | ||||
\(63\) | 0.749023 | − | 7.90183i | 0.0943681 | − | 0.995537i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −0.308631 | + | 1.60559i | −0.0382809 | + | 0.199149i | ||||
\(66\) | −9.83463 | − | 0.732671i | −1.21056 | − | 0.0901856i | ||||
\(67\) | −0.426632 | + | 1.59221i | −0.0521214 | + | 0.194520i | −0.987077 | − | 0.160244i | \(-0.948772\pi\) |
0.934956 | + | 0.354763i | \(0.115439\pi\) | |||||||
\(68\) | 0.261719i | 0.0317381i | ||||||||
\(69\) | −3.98746 | + | 5.85404i | −0.480034 | + | 0.704743i | ||||
\(70\) | 1.19799 | − | 0.0650121i | 0.143187 | − | 0.00777043i | ||||
\(71\) | −5.85121 | − | 1.56783i | −0.694411 | − | 0.186067i | −0.105685 | − | 0.994400i | \(-0.533704\pi\) |
−0.588726 | + | 0.808333i | \(0.700370\pi\) | |||||||
\(72\) | 1.19727 | − | 2.75074i | 0.141099 | − | 0.324177i | ||||
\(73\) | 2.54220 | + | 9.48763i | 0.297542 | + | 1.11044i | 0.939177 | + | 0.343433i | \(0.111590\pi\) |
−0.641635 | + | 0.767010i | \(0.721744\pi\) | |||||||
\(74\) | 8.58769i | 0.998299i | ||||||||
\(75\) | 7.48015 | − | 3.60629i | 0.863734 | − | 0.416418i | ||||
\(76\) | −0.368107 | − | 1.37379i | −0.0422248 | − | 0.157585i | ||||
\(77\) | 10.0592 | − | 11.2136i | 1.14635 | − | 1.27791i | ||||
\(78\) | −6.03618 | + | 1.60143i | −0.683462 | + | 0.181326i | ||||
\(79\) | −8.38494 | − | 14.5231i | −0.943379 | − | 1.63398i | −0.758964 | − | 0.651132i | \(-0.774294\pi\) |
−0.184415 | − | 0.982848i | \(-0.559039\pi\) | |||||||
\(80\) | 0.438011 | + | 0.117365i | 0.0489711 | + | 0.0131218i | ||||
\(81\) | −6.58673 | + | 6.13311i | −0.731859 | + | 0.681456i | ||||
\(82\) | −5.24317 | − | 3.02714i | −0.579011 | − | 0.334292i | ||||
\(83\) | −0.0952575 | + | 0.0952575i | −0.0104559 | + | 0.0104559i | −0.712315 | − | 0.701860i | \(-0.752353\pi\) |
0.701860 | + | 0.712315i | \(0.252353\pi\) | |||||||
\(84\) | 2.21087 | + | 4.01398i | 0.241226 | + | 0.437961i | ||||
\(85\) | 0.114636 | + | 0.0307165i | 0.0124340 | + | 0.00333168i | ||||
\(86\) | −0.358481 | + | 1.33787i | −0.0386559 | + | 0.144266i | ||||
\(87\) | −8.18820 | + | 3.94765i | −0.877867 | + | 0.423232i | ||||
\(88\) | 4.93094 | − | 2.84688i | 0.525640 | − | 0.303479i | ||||
\(89\) | −1.23138 | − | 1.23138i | −0.130527 | − | 0.130527i | 0.638825 | − | 0.769352i | \(-0.279421\pi\) |
−0.769352 | + | 0.638825i | \(0.779421\pi\) | |||||||
\(90\) | −1.06434 | − | 0.847255i | −0.112191 | − | 0.0893085i | ||||
\(91\) | 3.69276 | − | 8.79565i | 0.387107 | − | 0.922035i | ||||
\(92\) | − | 4.08940i | − | 0.426349i | ||||||
\(93\) | 2.28155 | − | 6.52948i | 0.236586 | − | 0.677075i | ||||
\(94\) | 4.69238 | + | 8.12745i | 0.483983 | + | 0.838282i | ||||
\(95\) | −0.644939 | −0.0661694 | ||||||||
\(96\) | 0.322754 | + | 1.70171i | 0.0329409 | + | 0.173680i | ||||
\(97\) | 0.458897 | − | 1.71263i | 0.0465939 | − | 0.173891i | −0.938708 | − | 0.344714i | \(-0.887976\pi\) |
0.985302 | + | 0.170823i | \(0.0546426\pi\) | |||||||
\(98\) | −6.91783 | − | 1.06939i | −0.698807 | − | 0.108024i | ||||
\(99\) | −16.9722 | + | 1.92737i | −1.70577 | + | 0.193708i | ||||
\(100\) | −2.39719 | + | 4.15205i | −0.239719 | + | 0.415205i | ||||
\(101\) | −7.96445 | − | 13.7948i | −0.792492 | − | 1.37264i | −0.924419 | − | 0.381378i | \(-0.875450\pi\) |
0.131927 | − | 0.991259i | \(-0.457884\pi\) | |||||||
\(102\) | 0.0844708 | + | 0.445371i | 0.00836385 | + | 0.0440983i | ||||
\(103\) | 12.1401 | − | 7.00907i | 1.19620 | − | 0.690624i | 0.236492 | − | 0.971634i | \(-0.424002\pi\) |
0.959705 | + | 0.281009i | \(0.0906691\pi\) | |||||||
\(104\) | 2.35979 | − | 2.72606i | 0.231397 | − | 0.267312i | ||||
\(105\) | 2.01765 | − | 0.497286i | 0.196902 | − | 0.0485302i | ||||
\(106\) | −3.50828 | + | 0.940041i | −0.340754 | + | 0.0913049i | ||||
\(107\) | − | 15.2283i | − | 1.47217i | −0.676888 | − | 0.736086i | \(-0.736672\pi\) | ||
0.676888 | − | 0.736086i | \(-0.263328\pi\) | |||||||
\(108\) | 1.14959 | − | 5.06739i | 0.110620 | − | 0.487610i | ||||
\(109\) | 5.85258 | − | 1.56819i | 0.560575 | − | 0.150206i | 0.0326046 | − | 0.999468i | \(-0.489620\pi\) |
0.527971 | + | 0.849263i | \(0.322953\pi\) | |||||||
\(110\) | −0.668246 | − | 2.49393i | −0.0637148 | − | 0.237787i | ||||
\(111\) | 2.77171 | + | 14.6138i | 0.263079 | + | 1.38708i | ||||
\(112\) | −2.35961 | − | 1.19677i | −0.222962 | − | 0.113084i | ||||
\(113\) | 3.28411 | − | 1.89608i | 0.308943 | − | 0.178368i | −0.337510 | − | 0.941322i | \(-0.609585\pi\) |
0.646453 | + | 0.762954i | \(0.276251\pi\) | |||||||
\(114\) | −1.06981 | − | 2.21900i | −0.100197 | − | 0.207828i | ||||
\(115\) | −1.79120 | − | 0.479951i | −0.167030 | − | 0.0447556i | ||||
\(116\) | 2.62410 | − | 4.54507i | 0.243641 | − | 0.421999i | ||||
\(117\) | −9.75498 | + | 4.67337i | −0.901848 | + | 0.432053i | ||||
\(118\) | −5.92985 | −0.545887 | ||||||||
\(119\) | −0.617553 | − | 0.313218i | −0.0566110 | − | 0.0287126i | ||||
\(120\) | 0.783249 | + | 0.0583513i | 0.0715005 | + | 0.00532672i | ||||
\(121\) | −18.5493 | − | 10.7095i | −1.68630 | − | 0.973588i | ||||
\(122\) | −2.47034 | − | 9.21945i | −0.223654 | − | 0.834690i | ||||
\(123\) | −9.89939 | − | 3.45908i | −0.892598 | − | 0.311895i | ||||
\(124\) | 1.03354 | + | 3.85724i | 0.0928150 | + | 0.346390i | ||||
\(125\) | 3.14053 | + | 3.14053i | 0.280897 | + | 0.280897i | ||||
\(126\) | 5.05780 | + | 6.11708i | 0.450585 | + | 0.544953i | ||||
\(127\) | −7.49862 | − | 4.32933i | −0.665395 | − | 0.384166i | 0.128934 | − | 0.991653i | \(-0.458844\pi\) |
−0.794330 | + | 0.607487i | \(0.792178\pi\) | |||||||
\(128\) | −0.707107 | − | 0.707107i | −0.0625000 | − | 0.0625000i | ||||
\(129\) | −0.178229 | + | 2.39237i | −0.0156922 | + | 0.210636i | ||||
\(130\) | −0.917086 | − | 1.35356i | −0.0804338 | − | 0.118715i | ||||
\(131\) | 12.3406 | − | 7.12484i | 1.07820 | − | 0.622500i | 0.147791 | − | 0.989019i | \(-0.452784\pi\) |
0.930411 | + | 0.366519i | \(0.119450\pi\) | |||||||
\(132\) | 7.47221 | − | 6.43606i | 0.650373 | − | 0.560187i | ||||
\(133\) | 3.68215 | + | 0.775530i | 0.319283 | + | 0.0672470i | ||||
\(134\) | −0.824190 | − | 1.42754i | −0.0711991 | − | 0.123321i | ||||
\(135\) | −2.08465 | − | 1.09827i | −0.179418 | − | 0.0945237i | ||||
\(136\) | −0.185063 | − | 0.185063i | −0.0158690 | − | 0.0158690i | ||||
\(137\) | 2.57796 | + | 2.57796i | 0.220250 | + | 0.220250i | 0.808604 | − | 0.588354i | \(-0.200224\pi\) |
−0.588354 | + | 0.808604i | \(0.700224\pi\) | |||||||
\(138\) | −1.31987 | − | 6.95899i | −0.112355 | − | 0.592388i | ||||
\(139\) | 5.46197 | + | 9.46041i | 0.463278 | + | 0.802421i | 0.999122 | − | 0.0418959i | \(-0.0133398\pi\) |
−0.535844 | + | 0.844317i | \(0.680006\pi\) | |||||||
\(140\) | −0.801133 | + | 0.893074i | −0.0677081 | + | 0.0754785i | ||||
\(141\) | 10.6083 | + | 12.3161i | 0.893377 | + | 1.03720i | ||||
\(142\) | 5.24605 | − | 3.02881i | 0.440239 | − | 0.254172i | ||||
\(143\) | −20.1601 | − | 3.87523i | −1.68587 | − | 0.324063i | ||||
\(144\) | 1.09847 | + | 2.79166i | 0.0915391 | + | 0.232638i | ||||
\(145\) | −1.68281 | − | 1.68281i | −0.139750 | − | 0.139750i | ||||
\(146\) | −8.50638 | − | 4.91116i | −0.703993 | − | 0.406450i | ||||
\(147\) | −12.1173 | + | 0.412969i | −0.999420 | + | 0.0340611i | ||||
\(148\) | −6.07241 | − | 6.07241i | −0.499149 | − | 0.499149i | ||||
\(149\) | 5.10625 | + | 19.0568i | 0.418320 | + | 1.56119i | 0.778091 | + | 0.628151i | \(0.216188\pi\) |
−0.359771 | + | 0.933041i | \(0.617145\pi\) | |||||||
\(150\) | −2.73923 | + | 7.83930i | −0.223658 | + | 0.640076i | ||||
\(151\) | −0.508437 | − | 1.89751i | −0.0413760 | − | 0.154417i | 0.942147 | − | 0.335200i | \(-0.108804\pi\) |
−0.983523 | + | 0.180782i | \(0.942137\pi\) | |||||||
\(152\) | 1.23171 | + | 0.711128i | 0.0999049 | + | 0.0576801i | ||||
\(153\) | 0.287490 | + | 0.730630i | 0.0232422 | + | 0.0590679i | ||||
\(154\) | 0.816305 | + | 15.0421i | 0.0657798 | + | 1.21213i | ||||
\(155\) | 1.81081 | 0.145448 | ||||||||
\(156\) | 3.13584 | − | 5.40060i | 0.251068 | − | 0.432394i | ||||
\(157\) | −7.93738 | + | 13.7480i | −0.633472 | + | 1.09721i | 0.353365 | + | 0.935486i | \(0.385038\pi\) |
−0.986837 | + | 0.161720i | \(0.948296\pi\) | |||||||
\(158\) | 16.1985 | + | 4.34036i | 1.28868 | + | 0.345301i | ||||
\(159\) | −5.66669 | + | 2.73199i | −0.449398 | + | 0.216661i | ||||
\(160\) | −0.392710 | + | 0.226731i | −0.0310464 | + | 0.0179247i | ||||
\(161\) | 9.64937 | + | 4.89408i | 0.760477 | + | 0.385707i | ||||
\(162\) | 0.320759 | − | 8.99428i | 0.0252012 | − | 0.706658i | ||||
\(163\) | 2.70104 | + | 10.0804i | 0.211562 | + | 0.789560i | 0.987349 | + | 0.158565i | \(0.0506867\pi\) |
−0.775787 | + | 0.630995i | \(0.782647\pi\) | |||||||
\(164\) | 5.84799 | − | 1.56697i | 0.456652 | − | 0.122359i | ||||
\(165\) | −1.94209 | − | 4.02828i | −0.151191 | − | 0.313601i | ||||
\(166\) | − | 0.134715i | − | 0.0104559i | ||||||
\(167\) | −21.1909 | + | 5.67807i | −1.63980 | + | 0.439382i | −0.956731 | − | 0.290974i | \(-0.906021\pi\) |
−0.683067 | + | 0.730356i | \(0.739354\pi\) | |||||||
\(168\) | −4.40164 | − | 1.27499i | −0.339594 | − | 0.0983676i | ||||
\(169\) | −12.8658 | + | 1.86278i | −0.989681 | + | 0.143290i | ||||
\(170\) | −0.102780 | + | 0.0593398i | −0.00788283 | + | 0.00455115i | ||||
\(171\) | −2.53670 | − | 3.43081i | −0.193986 | − | 0.262361i | ||||
\(172\) | −0.692531 | − | 1.19950i | −0.0528050 | − | 0.0914610i | ||||
\(173\) | 2.20153 | − | 3.81316i | 0.167379 | − | 0.289909i | −0.770118 | − | 0.637901i | \(-0.779803\pi\) |
0.937498 | + | 0.347992i | \(0.113136\pi\) | |||||||
\(174\) | 2.99852 | − | 8.58134i | 0.227317 | − | 0.650550i | ||||
\(175\) | −6.92831 | − | 10.6255i | −0.523731 | − | 0.803210i | ||||
\(176\) | −1.47365 | + | 5.49975i | −0.111081 | + | 0.414560i | ||||
\(177\) | −10.0909 | + | 1.91388i | −0.758479 | + | 0.143856i | ||||
\(178\) | 1.74144 | 0.130527 | ||||||||
\(179\) | −10.1302 | − | 17.5460i | −0.757164 | − | 1.31145i | −0.944291 | − | 0.329111i | \(-0.893251\pi\) |
0.187127 | − | 0.982336i | \(-0.440082\pi\) | |||||||
\(180\) | 1.35170 | − | 0.153499i | 0.100750 | − | 0.0114412i | ||||
\(181\) | − | 7.49322i | − | 0.556967i | −0.960441 | − | 0.278483i | \(-0.910168\pi\) | ||
0.960441 | − | 0.278483i | \(-0.0898317\pi\) | |||||||
\(182\) | 3.60829 | + | 8.83064i | 0.267464 | + | 0.654571i | ||||
\(183\) | −7.17943 | − | 14.8916i | −0.530719 | − | 1.10082i | ||||
\(184\) | 2.89164 | + | 2.89164i | 0.213175 | + | 0.213175i | ||||
\(185\) | −3.37247 | + | 1.94710i | −0.247949 | + | 0.143153i | ||||
\(186\) | 3.00374 | + | 6.23034i | 0.220245 | + | 0.456831i | ||||
\(187\) | −0.385683 | + | 1.43939i | −0.0282039 | + | 0.105259i | ||||
\(188\) | −9.06499 | − | 2.42896i | −0.661132 | − | 0.177150i | ||||
\(189\) | 10.5812 | + | 8.77709i | 0.769672 | + | 0.638440i | ||||
\(190\) | 0.456041 | − | 0.456041i | 0.0330847 | − | 0.0330847i | ||||
\(191\) | 7.60377 | + | 4.39004i | 0.550190 | + | 0.317652i | 0.749199 | − | 0.662346i | \(-0.230439\pi\) |
−0.199009 | + | 0.979998i | \(0.563772\pi\) | |||||||
\(192\) | −1.43151 | − | 0.975072i | −0.103311 | − | 0.0703698i | ||||
\(193\) | 12.1645 | + | 3.25947i | 0.875621 | + | 0.234622i | 0.668517 | − | 0.743697i | \(-0.266929\pi\) |
0.207104 | + | 0.978319i | \(0.433596\pi\) | |||||||
\(194\) | 0.886520 | + | 1.53550i | 0.0636485 | + | 0.110242i | ||||
\(195\) | −1.99748 | − | 2.00737i | −0.143043 | − | 0.143751i | ||||
\(196\) | 5.64782 | − | 4.13548i | 0.403415 | − | 0.295391i | ||||
\(197\) | 3.55613 | + | 13.2717i | 0.253364 | + | 0.945568i | 0.968993 | + | 0.247087i | \(0.0794734\pi\) |
−0.715629 | + | 0.698480i | \(0.753860\pi\) | |||||||
\(198\) | 10.6383 | − | 13.3640i | 0.756031 | − | 0.949739i | ||||
\(199\) | 18.2312i | 1.29237i | 0.763179 | + | 0.646187i | \(0.223637\pi\) | ||||
−0.763179 | + | 0.646187i | \(0.776363\pi\) | |||||||
\(200\) | −1.24087 | − | 4.63101i | −0.0877431 | − | 0.327462i | ||||
\(201\) | −1.86328 | − | 2.16325i | −0.131426 | − | 0.152584i | ||||
\(202\) | 15.3861 | + | 4.12270i | 1.08256 | + | 0.290072i | ||||
\(203\) | 7.58412 | + | 11.6312i | 0.532301 | + | 0.816353i | ||||
\(204\) | −0.374654 | − | 0.255195i | −0.0262311 | − | 0.0178672i | ||||
\(205\) | − | 2.74539i | − | 0.191746i | ||||||
\(206\) | −3.62816 | + | 13.5405i | −0.252786 | + | 0.943411i | ||||
\(207\) | −4.49208 | − | 11.4162i | −0.312221 | − | 0.793482i | ||||
\(208\) | 0.258990 | + | 3.59624i | 0.0179577 | + | 0.249354i | ||||
\(209\) | − | 8.09799i | − | 0.560150i | ||||||
\(210\) | −1.07506 | + | 1.77833i | −0.0741859 | + | 0.122716i | ||||
\(211\) | 6.97826 | − | 12.0867i | 0.480403 | − | 0.832083i | −0.519344 | − | 0.854565i | \(-0.673824\pi\) |
0.999747 | + | 0.0224824i | \(0.00715696\pi\) | |||||||
\(212\) | 1.81602 | − | 3.14544i | 0.124725 | − | 0.216030i | ||||
\(213\) | 7.94972 | − | 6.84735i | 0.544706 | − | 0.469173i | ||||
\(214\) | 10.7680 | + | 10.7680i | 0.736086 | + | 0.736086i | ||||
\(215\) | −0.606672 | + | 0.162557i | −0.0413747 | + | 0.0110863i | ||||
\(216\) | 2.77030 | + | 4.39607i | 0.188495 | + | 0.299115i | ||||
\(217\) | −10.3385 | − | 2.17748i | −0.701822 | − | 0.147817i | ||||
\(218\) | −3.02952 | + | 5.24728i | −0.205185 | + | 0.355390i | ||||
\(219\) | −16.0605 | − | 5.61192i | −1.08527 | − | 0.379218i | ||||
\(220\) | 2.23600 | + | 1.29095i | 0.150751 | + | 0.0870360i | ||||
\(221\) | 0.0677825 | + | 0.941203i | 0.00455954 | + | 0.0633122i | ||||
\(222\) | −12.2934 | − | 8.37362i | −0.825079 | − | 0.562000i | ||||
\(223\) | 28.3691 | − | 7.60147i | 1.89973 | − | 0.509032i | 0.902869 | − | 0.429916i | \(-0.141457\pi\) |
0.996865 | − | 0.0791158i | \(-0.0252097\pi\) | |||||||
\(224\) | 2.51474 | − | 0.822248i | 0.168023 | − | 0.0549387i | ||||
\(225\) | −2.13123 | + | 14.2243i | −0.142082 | + | 0.948289i | ||||
\(226\) | −0.981484 | + | 3.66295i | −0.0652873 | + | 0.243656i | ||||
\(227\) | 3.58283 | − | 3.58283i | 0.237800 | − | 0.237800i | −0.578138 | − | 0.815939i | \(-0.696221\pi\) |
0.815939 | + | 0.578138i | \(0.196221\pi\) | |||||||
\(228\) | 2.32554 | + | 0.812597i | 0.154012 | + | 0.0538156i | ||||
\(229\) | 2.38859 | + | 0.640022i | 0.157843 | + | 0.0422938i | 0.336875 | − | 0.941549i | \(-0.390630\pi\) |
−0.179032 | + | 0.983843i | \(0.557297\pi\) | |||||||
\(230\) | 1.60595 | − | 0.927194i | 0.105893 | − | 0.0611373i | ||||
\(231\) | 6.24403 | + | 25.3340i | 0.410827 | + | 1.66685i | ||||
\(232\) | 1.35833 | + | 5.06936i | 0.0891789 | + | 0.332820i | ||||
\(233\) | 8.16384 | + | 14.1402i | 0.534831 | + | 0.926354i | 0.999172 | + | 0.0406974i | \(0.0129580\pi\) |
−0.464341 | + | 0.885657i | \(0.653709\pi\) | |||||||
\(234\) | 3.59324 | − | 10.2024i | 0.234898 | − | 0.666951i | ||||
\(235\) | −2.12782 | + | 3.68549i | −0.138804 | + | 0.240415i | ||||
\(236\) | 4.19304 | − | 4.19304i | 0.272944 | − | 0.272944i | ||||
\(237\) | 28.9660 | + | 2.15794i | 1.88154 | + | 0.140173i | ||||
\(238\) | 0.658154 | − | 0.215198i | 0.0426618 | − | 0.0139492i | ||||
\(239\) | −7.48384 | + | 7.48384i | −0.484089 | + | 0.484089i | −0.906435 | − | 0.422346i | \(-0.861207\pi\) |
0.422346 | + | 0.906435i | \(0.361207\pi\) | |||||||
\(240\) | −0.595101 | + | 0.512580i | −0.0384136 | + | 0.0330869i | ||||
\(241\) | −4.03869 | + | 4.03869i | −0.260155 | + | 0.260155i | −0.825117 | − | 0.564962i | \(-0.808891\pi\) |
0.564962 | + | 0.825117i | \(0.308891\pi\) | |||||||
\(242\) | 20.6891 | − | 5.54363i | 1.32995 | − | 0.356358i | ||||
\(243\) | −2.35710 | − | 15.4092i | −0.151208 | − | 0.988502i | ||||
\(244\) | 8.26593 | + | 4.77234i | 0.529172 | + | 0.305518i | ||||
\(245\) | −1.14853 | − | 2.95916i | −0.0733768 | − | 0.189054i | ||||
\(246\) | 9.44587 | − | 4.55399i | 0.602247 | − | 0.290352i | ||||
\(247\) | −1.67960 | − | 4.84515i | −0.106870 | − | 0.308290i | ||||
\(248\) | −3.45831 | − | 1.99665i | −0.219603 | − | 0.126788i | ||||
\(249\) | −0.0434796 | − | 0.229246i | −0.00275541 | − | 0.0145278i | ||||
\(250\) | −4.44138 | −0.280897 | ||||||||
\(251\) | 10.3108 | + | 17.8587i | 0.650809 | + | 1.12723i | 0.982927 | + | 0.183996i | \(0.0589034\pi\) |
−0.332118 | + | 0.943238i | \(0.607763\pi\) | |||||||
\(252\) | −7.90183 | − | 0.749023i | −0.497769 | − | 0.0471840i | ||||
\(253\) | 6.02636 | − | 22.4907i | 0.378874 | − | 1.41398i | ||||
\(254\) | 8.36363 | − | 2.24103i | 0.524781 | − | 0.140615i | ||||
\(255\) | −0.155749 | + | 0.134152i | −0.00975339 | + | 0.00840091i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −11.2872 | −0.704074 | −0.352037 | − | 0.935986i | \(-0.614511\pi\) | ||||
−0.352037 | + | 0.935986i | \(0.614511\pi\) | |||||||
\(258\) | −1.56563 | − | 1.81769i | −0.0974720 | − | 0.113164i | ||||
\(259\) | 21.5958 | − | 7.06121i | 1.34190 | − | 0.438762i | ||||
\(260\) | 1.60559 | + | 0.308631i | 0.0995743 | + | 0.0191405i | ||||
\(261\) | 2.33296 | − | 15.5708i | 0.144407 | − | 0.963807i | ||||
\(262\) | −3.68809 | + | 13.7641i | −0.227851 | + | 0.850351i | ||||
\(263\) | −20.6695 | + | 11.9335i | −1.27454 | + | 0.735853i | −0.975838 | − | 0.218495i | \(-0.929885\pi\) |
−0.298697 | + | 0.954348i | \(0.596552\pi\) | |||||||
\(264\) | −0.732671 | + | 9.83463i | −0.0450928 | + | 0.605280i | ||||
\(265\) | −1.16460 | − | 1.16460i | −0.0715408 | − | 0.0715408i | ||||
\(266\) | −3.15206 | + | 2.05529i | −0.193265 | + | 0.126018i | ||||
\(267\) | 2.96343 | − | 0.562057i | 0.181359 | − | 0.0343973i | ||||
\(268\) | 1.59221 | + | 0.426632i | 0.0972598 | + | 0.0260607i | ||||
\(269\) | 9.47216i | 0.577528i | 0.957400 | + | 0.288764i | \(0.0932443\pi\) | ||||
−0.957400 | + | 0.288764i | \(0.906756\pi\) | |||||||
\(270\) | 2.25066 | − | 0.697478i | 0.136971 | − | 0.0424472i | ||||
\(271\) | −3.24177 | + | 3.24177i | −0.196924 | + | 0.196924i | −0.798680 | − | 0.601756i | \(-0.794468\pi\) |
0.601756 | + | 0.798680i | \(0.294468\pi\) | |||||||
\(272\) | 0.261719 | 0.0158690 | ||||||||
\(273\) | 8.99040 | + | 13.8626i | 0.544124 | + | 0.839005i | ||||
\(274\) | −3.64578 | −0.220250 | ||||||||
\(275\) | −19.3026 | + | 19.3026i | −1.16399 | + | 1.16399i | ||||
\(276\) | 5.85404 | + | 3.98746i | 0.352372 | + | 0.240017i | ||||
\(277\) | − | 15.7090i | − | 0.943860i | −0.881636 | − | 0.471930i | \(-0.843557\pi\) | ||
0.881636 | − | 0.471930i | \(-0.156443\pi\) | |||||||
\(278\) | −10.5517 | − | 2.82732i | −0.632850 | − | 0.169572i | ||||
\(279\) | 7.12237 | + | 9.63279i | 0.426405 | + | 0.576700i | ||||
\(280\) | −0.0650121 | − | 1.19799i | −0.00388522 | − | 0.0715933i | ||||
\(281\) | −20.7309 | − | 20.7309i | −1.23670 | − | 1.23670i | −0.961341 | − | 0.275361i | \(-0.911203\pi\) |
−0.275361 | − | 0.961341i | \(-0.588797\pi\) | |||||||
\(282\) | −16.2100 | − | 1.20763i | −0.965290 | − | 0.0719132i | ||||
\(283\) | 24.3614 | − | 14.0650i | 1.44813 | − | 0.836080i | 0.449763 | − | 0.893148i | \(-0.351508\pi\) |
0.998370 | + | 0.0570679i | \(0.0181751\pi\) | |||||||
\(284\) | −1.56783 | + | 5.85121i | −0.0930334 | + | 0.347205i | ||||
\(285\) | 0.628862 | − | 0.923240i | 0.0372506 | − | 0.0546880i | ||||
\(286\) | 16.9955 | − | 11.5151i | 1.00497 | − | 0.680904i | ||||
\(287\) | −3.30129 | + | 15.6743i | −0.194869 | + | 0.925222i | ||||
\(288\) | −2.75074 | − | 1.19727i | −0.162089 | − | 0.0705496i | ||||
\(289\) | −16.9315 | −0.995971 | ||||||||
\(290\) | 2.37986 | 0.139750 | ||||||||
\(291\) | 2.00419 | + | 2.32685i | 0.117488 | + | 0.136402i | ||||
\(292\) | 9.48763 | − | 2.54220i | 0.555222 | − | 0.148771i | ||||
\(293\) | −5.34352 | + | 19.9423i | −0.312172 | + | 1.16504i | 0.614422 | + | 0.788977i | \(0.289389\pi\) |
−0.926594 | + | 0.376063i | \(0.877277\pi\) | |||||||
\(294\) | 8.27623 | − | 8.86025i | 0.482679 | − | 0.516740i | ||||
\(295\) | −1.34448 | − | 2.32871i | −0.0782787 | − | 0.135583i | ||||
\(296\) | 8.58769 | 0.499149 | ||||||||
\(297\) | 13.7901 | − | 26.1753i | 0.800180 | − | 1.51884i | ||||
\(298\) | −17.0858 | − | 9.86451i | −0.989756 | − | 0.571436i | ||||
\(299\) | −1.05911 | − | 14.7065i | −0.0612500 | − | 0.850496i | ||||
\(300\) | −3.60629 | − | 7.48015i | −0.208209 | − | 0.431867i | ||||
\(301\) | 3.65915 | − | 0.198574i | 0.210910 | − | 0.0114456i | ||||
\(302\) | 1.70126 | + | 0.982225i | 0.0978967 | + | 0.0565207i | ||||
\(303\) | 27.5134 | + | 2.04972i | 1.58060 | + | 0.117754i | ||||
\(304\) | −1.37379 | + | 0.368107i | −0.0787925 | + | 0.0211124i | ||||
\(305\) | 3.06046 | − | 3.06046i | 0.175242 | − | 0.175242i | ||||
\(306\) | −0.719920 | − | 0.313347i | −0.0411551 | − | 0.0179129i | ||||
\(307\) | −23.1047 | + | 23.1047i | −1.31865 | + | 1.31865i | −0.403809 | + | 0.914843i | \(0.632314\pi\) |
−0.914843 | + | 0.403809i | \(0.867686\pi\) | |||||||
\(308\) | −11.2136 | − | 10.0592i | −0.638955 | − | 0.573176i | ||||
\(309\) | −1.80385 | + | 24.2130i | −0.102617 | + | 1.37743i | ||||
\(310\) | −1.28044 | + | 1.28044i | −0.0727241 | + | 0.0727241i | ||||
\(311\) | −10.7534 | + | 18.6255i | −0.609772 | + | 1.05616i | 0.381506 | + | 0.924366i | \(0.375405\pi\) |
−0.991278 | + | 0.131789i | \(0.957928\pi\) | |||||||
\(312\) | 1.60143 | + | 6.03618i | 0.0906629 | + | 0.341731i | ||||
\(313\) | −3.22152 | − | 5.57984i | −0.182091 | − | 0.315391i | 0.760501 | − | 0.649336i | \(-0.224953\pi\) |
−0.942592 | + | 0.333945i | \(0.891620\pi\) | |||||||
\(314\) | −4.10869 | − | 15.3338i | −0.231867 | − | 0.865339i | ||||
\(315\) | −1.25548 | + | 3.37318i | −0.0707381 | + | 0.190057i | ||||
\(316\) | −14.5231 | + | 8.38494i | −0.816990 | + | 0.471690i | ||||
\(317\) | 10.8363 | + | 2.90357i | 0.608626 | + | 0.163081i | 0.549952 | − | 0.835196i | \(-0.314646\pi\) |
0.0586739 | + | 0.998277i | \(0.481313\pi\) | |||||||
\(318\) | 2.07514 | − | 5.93876i | 0.116368 | − | 0.333029i | ||||
\(319\) | 21.1297 | − | 21.1297i | 1.18304 | − | 1.18304i | ||||
\(320\) | 0.117365 | − | 0.438011i | 0.00656088 | − | 0.0244855i | ||||
\(321\) | 21.7995 | + | 14.8487i | 1.21673 | + | 0.828771i | ||||
\(322\) | −10.2838 | + | 3.36250i | −0.573092 | + | 0.187385i | ||||
\(323\) | −0.359548 | + | 0.0963405i | −0.0200058 | + | 0.00536053i | ||||
\(324\) | 6.13311 | + | 6.58673i | 0.340728 | + | 0.365929i | ||||
\(325\) | −7.54551 | + | 15.5526i | −0.418550 | + | 0.862703i | ||||
\(326\) | −9.03787 | − | 5.21802i | −0.500561 | − | 0.288999i | ||||
\(327\) | −3.46179 | + | 9.90715i | −0.191437 | + | 0.547867i | ||||
\(328\) | −3.02714 | + | 5.24317i | −0.167146 | + | 0.289506i | ||||
\(329\) | 16.5801 | − | 18.4829i | 0.914091 | − | 1.01900i | ||||
\(330\) | 4.22169 | + | 1.47516i | 0.232396 | + | 0.0812047i | ||||
\(331\) | 9.91429 | − | 2.65653i | 0.544939 | − | 0.146016i | 0.0241608 | − | 0.999708i | \(-0.492309\pi\) |
0.520778 | + | 0.853692i | \(0.325642\pi\) | |||||||
\(332\) | 0.0952575 | + | 0.0952575i | 0.00522794 | + | 0.00522794i | ||||
\(333\) | −23.6225 | − | 10.2818i | −1.29450 | − | 0.563437i | ||||
\(334\) | 10.9692 | − | 18.9992i | 0.600208 | − | 1.03959i | ||||
\(335\) | 0.373739 | − | 0.647335i | 0.0204195 | − | 0.0353677i | ||||
\(336\) | 4.01398 | − | 2.21087i | 0.218981 | − | 0.120613i | ||||
\(337\) | − | 31.9526i | − | 1.74057i | −0.492550 | − | 0.870284i | \(-0.663935\pi\) | ||
0.492550 | − | 0.870284i | \(-0.336065\pi\) | |||||||
\(338\) | 7.78035 | − | 10.4147i | 0.423195 | − | 0.566486i | ||||
\(339\) | −0.487974 | + | 6.55006i | −0.0265031 | + | 0.355751i | ||||
\(340\) | 0.0307165 | − | 0.114636i | 0.00166584 | − | 0.00621699i | ||||
\(341\) | 22.7370i | 1.23128i | ||||||||
\(342\) | 4.21967 | + | 0.632232i | 0.228173 | + | 0.0341872i | ||||
\(343\) | 2.99895 | + | 18.2758i | 0.161928 | + | 0.986803i | ||||
\(344\) | 1.33787 | + | 0.358481i | 0.0721330 | + | 0.0193280i | ||||
\(345\) | 2.43361 | − | 2.09614i | 0.131021 | − | 0.112853i | ||||
\(346\) | 1.13960 | + | 4.25303i | 0.0612650 | + | 0.228644i | ||||
\(347\) | − | 5.72899i | − | 0.307548i | −0.988106 | − | 0.153774i | \(-0.950857\pi\) | ||
0.988106 | − | 0.153774i | \(-0.0491428\pi\) | |||||||
\(348\) | 3.94765 | + | 8.18820i | 0.211616 | + | 0.438934i | ||||
\(349\) | 3.05898 | + | 11.4163i | 0.163743 | + | 0.611098i | 0.998197 | + | 0.0600203i | \(0.0191166\pi\) |
−0.834454 | + | 0.551078i | \(0.814217\pi\) | |||||||
\(350\) | 12.4124 | + | 2.61428i | 0.663470 | + | 0.139739i | ||||
\(351\) | 2.82181 | − | 18.5213i | 0.150617 | − | 0.988592i | ||||
\(352\) | −2.84688 | − | 4.93094i | −0.151739 | − | 0.262820i | ||||
\(353\) | −5.03707 | − | 1.34968i | −0.268096 | − | 0.0718361i | 0.122267 | − | 0.992497i | \(-0.460984\pi\) |
−0.390363 | + | 0.920661i | \(0.627650\pi\) | |||||||
\(354\) | 5.78203 | − | 8.48867i | 0.307312 | − | 0.451168i | ||||
\(355\) | 2.37889 | + | 1.37345i | 0.126258 | + | 0.0728952i | ||||
\(356\) | −1.23138 | + | 1.23138i | −0.0652633 | + | 0.0652633i | ||||
\(357\) | 1.05053 | − | 0.578627i | 0.0556002 | − | 0.0306242i | ||||
\(358\) | 19.5700 | + | 5.24376i | 1.03431 | + | 0.277141i | ||||
\(359\) | −5.52961 | + | 20.6368i | −0.291842 | + | 1.08917i | 0.651851 | + | 0.758347i | \(0.273993\pi\) |
−0.943693 | + | 0.330822i | \(0.892674\pi\) | |||||||
\(360\) | −0.847255 | + | 1.06434i | −0.0446542 | + | 0.0560954i | ||||
\(361\) | −14.7027 | + | 8.48859i | −0.773825 | + | 0.446768i | ||||
\(362\) | 5.29851 | + | 5.29851i | 0.278483 | + | 0.278483i | ||||
\(363\) | 33.4177 | − | 16.1112i | 1.75398 | − | 0.845617i | ||||
\(364\) | −8.79565 | − | 3.69276i | −0.461017 | − | 0.193553i | ||||
\(365\) | − | 4.45405i | − | 0.233136i | ||||||
\(366\) | 15.6065 | + | 5.45329i | 0.815767 | + | 0.285048i | ||||
\(367\) | −15.3314 | − | 26.5548i | −0.800293 | − | 1.38615i | −0.919423 | − | 0.393270i | \(-0.871344\pi\) |
0.119130 | − | 0.992879i | \(-0.461990\pi\) | |||||||
\(368\) | −4.08940 | −0.213175 | ||||||||
\(369\) | 14.6043 | − | 10.7983i | 0.760272 | − | 0.562136i | ||||
\(370\) | 1.00789 | − | 3.76150i | 0.0523978 | − | 0.195551i | ||||
\(371\) | 5.24863 | + | 8.04946i | 0.272496 | + | 0.417907i | ||||
\(372\) | −6.52948 | − | 2.28155i | −0.338538 | − | 0.118293i | ||||
\(373\) | −14.1624 | + | 24.5300i | −0.733301 | + | 1.27011i | 0.222164 | + | 0.975009i | \(0.428688\pi\) |
−0.955465 | + | 0.295105i | \(0.904645\pi\) | |||||||
\(374\) | −0.745083 | − | 1.29052i | −0.0385273 | − | 0.0667312i | ||||
\(375\) | −7.55795 | + | 1.43347i | −0.390291 | + | 0.0740242i | ||||
\(376\) | 8.12745 | − | 4.69238i | 0.419141 | − | 0.241991i | ||||
\(377\) | 8.25975 | − | 17.0248i | 0.425399 | − | 0.876819i | ||||
\(378\) | −13.6884 | + | 1.27572i | −0.704056 | + | 0.0656162i | ||||
\(379\) | 9.43043 | − | 2.52688i | 0.484408 | − | 0.129797i | −0.00834614 | − | 0.999965i | \(-0.502657\pi\) |
0.492755 | + | 0.870168i | \(0.335990\pi\) | |||||||
\(380\) | 0.644939i | 0.0330847i | ||||||||
\(381\) | 13.5092 | − | 6.51298i | 0.692097 | − | 0.333670i | ||||
\(382\) | −8.48091 | + | 2.27245i | −0.433921 | + | 0.116269i | ||||
\(383\) | −2.49550 | − | 9.31334i | −0.127514 | − | 0.475889i | 0.872403 | − | 0.488788i | \(-0.162561\pi\) |
−0.999917 | + | 0.0128986i | \(0.995894\pi\) | |||||||
\(384\) | 1.70171 | − | 0.322754i | 0.0868402 | − | 0.0164705i | ||||
\(385\) | −5.72212 | + | 3.73109i | −0.291626 | + | 0.190154i | ||||
\(386\) | −10.9064 | + | 6.29682i | −0.555122 | + | 0.320500i | ||||
\(387\) | −3.25092 | − | 2.58787i | −0.165254 | − | 0.131549i | ||||
\(388\) | −1.71263 | − | 0.458897i | −0.0869454 | − | 0.0232970i | ||||
\(389\) | 0.282099 | − | 0.488611i | 0.0143030 | − | 0.0247735i | −0.858785 | − | 0.512336i | \(-0.828780\pi\) |
0.873088 | + | 0.487562i | \(0.162114\pi\) | |||||||
\(390\) | 2.83186 | + | 0.00699187i | 0.143397 | + | 0.000354047i | ||||
\(391\) | −1.07027 | −0.0541260 | ||||||||
\(392\) | −1.06939 | + | 6.91783i | −0.0540122 | + | 0.349403i | ||||
\(393\) | −1.83364 | + | 24.6130i | −0.0924950 | + | 1.24156i | ||||
\(394\) | −11.8991 | − | 6.86993i | −0.599466 | − | 0.346102i | ||||
\(395\) | 1.96819 | + | 7.34539i | 0.0990304 | + | 0.369586i | ||||
\(396\) | 1.92737 | + | 16.9722i | 0.0968540 | + | 0.852885i | ||||
\(397\) | 5.51630 | + | 20.5871i | 0.276855 | + | 1.03324i | 0.954588 | + | 0.297930i | \(0.0962961\pi\) |
−0.677733 | + | 0.735309i | \(0.737037\pi\) | |||||||
\(398\) | −12.8914 | − | 12.8914i | −0.646187 | − | 0.646187i | ||||
\(399\) | −4.70054 | + | 4.51486i | −0.235322 | + | 0.226026i | ||||
\(400\) | 4.15205 | + | 2.39719i | 0.207602 | + | 0.119859i | ||||
\(401\) | −0.954975 | − | 0.954975i | −0.0476892 | − | 0.0476892i | 0.682860 | − | 0.730549i | \(-0.260736\pi\) |
−0.730549 | + | 0.682860i | \(0.760736\pi\) | |||||||
\(402\) | 2.84719 | + | 0.212113i | 0.142005 | + | 0.0105792i | ||||
\(403\) | 4.71586 | + | 13.6039i | 0.234914 | + | 0.677657i | ||||
\(404\) | −13.7948 | + | 7.96445i | −0.686318 | + | 0.396246i | ||||
\(405\) | 3.60487 | − | 1.91332i | 0.179127 | − | 0.0950735i | ||||
\(406\) | −13.5873 | − | 2.86174i | −0.674327 | − | 0.142026i | ||||
\(407\) | −24.4481 | − | 42.3454i | −1.21185 | − | 2.09898i | ||||
\(408\) | 0.445371 | − | 0.0844708i | 0.0220491 | − | 0.00418193i | ||||
\(409\) | −1.29990 | − | 1.29990i | −0.0642758 | − | 0.0642758i | 0.674238 | − | 0.738514i | \(-0.264472\pi\) |
−0.738514 | + | 0.674238i | \(0.764472\pi\) | |||||||
\(410\) | 1.94128 | + | 1.94128i | 0.0958732 | + | 0.0958732i | ||||
\(411\) | −6.20408 | + | 1.17669i | −0.306025 | + | 0.0580419i | ||||
\(412\) | −7.00907 | − | 12.1401i | −0.345312 | − | 0.598098i | ||||
\(413\) | 4.87581 | + | 14.9120i | 0.239923 | + | 0.733773i | ||||
\(414\) | 11.2489 | + | 4.89610i | 0.552851 | + | 0.240630i | ||||
\(415\) | 0.0529037 | − | 0.0305440i | 0.00259694 | − | 0.00149934i | ||||
\(416\) | −2.72606 | − | 2.35979i | −0.133656 | − | 0.115698i | ||||
\(417\) | −18.8685 | − | 1.40569i | −0.923996 | − | 0.0688368i | ||||
\(418\) | 5.72614 | + | 5.72614i | 0.280075 | + | 0.280075i | ||||
\(419\) | −4.78777 | − | 2.76422i | −0.233898 | − | 0.135041i | 0.378471 | − | 0.925613i | \(-0.376450\pi\) |
−0.612369 | + | 0.790572i | \(0.709783\pi\) | |||||||
\(420\) | −0.497286 | − | 2.01765i | −0.0242651 | − | 0.0984510i | ||||
\(421\) | 21.4872 | + | 21.4872i | 1.04722 | + | 1.04722i | 0.998828 | + | 0.0483937i | \(0.0154102\pi\) |
0.0483937 | + | 0.998828i | \(0.484590\pi\) | |||||||
\(422\) | 3.61221 | + | 13.4810i | 0.175840 | + | 0.656243i | ||||
\(423\) | −27.9745 | + | 3.17680i | −1.36017 | + | 0.154461i | ||||
\(424\) | 0.940041 | + | 3.50828i | 0.0456524 | + | 0.170377i | ||||
\(425\) | 1.08667 | + | 0.627389i | 0.0527112 | + | 0.0304328i | ||||
\(426\) | −0.779492 | + | 10.4631i | −0.0377665 | + | 0.506939i | ||||
\(427\) | −21.1533 | + | 13.7929i | −1.02368 | + | 0.667487i | ||||
\(428\) | −15.2283 | −0.736086 | ||||||||
\(429\) | 25.2050 | − | 25.0808i | 1.21691 | − | 1.21091i | ||||
\(430\) | 0.314037 | − | 0.543927i | 0.0151442 | − | 0.0262305i | ||||
\(431\) | 11.9386 | + | 3.19895i | 0.575064 | + | 0.154088i | 0.534618 | − | 0.845094i | \(-0.320456\pi\) |
0.0404457 | + | 0.999182i | \(0.487122\pi\) | |||||||
\(432\) | −5.06739 | − | 1.14959i | −0.243805 | − | 0.0553098i | ||||
\(433\) | −2.10458 | + | 1.21508i | −0.101140 | + | 0.0583931i | −0.549717 | − | 0.835351i | \(-0.685264\pi\) |
0.448577 | + | 0.893744i | \(0.351931\pi\) | |||||||
\(434\) | 8.85012 | − | 5.77070i | 0.424819 | − | 0.277003i | ||||
\(435\) | 4.04983 | − | 0.768108i | 0.194175 | − | 0.0368280i | ||||
\(436\) | −1.56819 | − | 5.85258i | −0.0751028 | − | 0.280288i | ||||
\(437\) | 5.61799 | − | 1.50534i | 0.268745 | − | 0.0720100i | ||||
\(438\) | 15.3247 | − | 7.38827i | 0.732244 | − | 0.353025i | ||||
\(439\) | − | 10.9450i | − | 0.522376i | −0.965288 | − | 0.261188i | \(-0.915886\pi\) | ||
0.965288 | − | 0.261188i | \(-0.0841142\pi\) | |||||||
\(440\) | −2.49393 | + | 0.668246i | −0.118893 | + | 0.0318574i | ||||
\(441\) | 11.2241 | − | 17.7488i | 0.534480 | − | 0.845181i | ||||
\(442\) | −0.713461 | − | 0.617602i | −0.0339359 | − | 0.0293763i | ||||
\(443\) | 19.2152 | − | 11.0939i | 0.912943 | − | 0.527088i | 0.0315659 | − | 0.999502i | \(-0.489951\pi\) |
0.881377 | + | 0.472414i | \(0.156617\pi\) | |||||||
\(444\) | 14.6138 | − | 2.77171i | 0.693540 | − | 0.131540i | ||||
\(445\) | 0.394839 | + | 0.683881i | 0.0187172 | + | 0.0324191i | ||||
\(446\) | −14.6849 | + | 25.4350i | −0.695351 | + | 1.20438i | ||||
\(447\) | −32.2590 | − | 11.2721i | −1.52580 | − | 0.533150i | ||||
\(448\) | −1.19677 | + | 2.35961i | −0.0565421 | + | 0.111481i | ||||
\(449\) | −3.03074 | + | 11.3109i | −0.143029 | + | 0.533793i | 0.856806 | + | 0.515639i | \(0.172445\pi\) |
−0.999835 | + | 0.0181537i | \(0.994221\pi\) | |||||||
\(450\) | −8.55112 | − | 11.5651i | −0.403104 | − | 0.545186i | ||||
\(451\) | 34.4717 | 1.62321 | ||||||||
\(452\) | −1.89608 | − | 3.28411i | −0.0891841 | − | 0.154471i | ||||
\(453\) | 3.21208 | + | 1.12238i | 0.150917 | + | 0.0527338i | ||||
\(454\) | 5.06688i | 0.237800i | ||||||||
\(455\) | −2.64977 | + | 3.41919i | −0.124223 | + | 0.160294i | ||||
\(456\) | −2.21900 | + | 1.06981i | −0.103914 | + | 0.0500984i | ||||
\(457\) | −0.922491 | − | 0.922491i | −0.0431523 | − | 0.0431523i | 0.685201 | − | 0.728354i | \(-0.259714\pi\) |
−0.728354 | + | 0.685201i | \(0.759714\pi\) | |||||||
\(458\) | −2.14155 | + | 1.23643i | −0.100068 | + | 0.0577744i | ||||
\(459\) | −1.32623 | − | 0.300870i | −0.0619032 | − | 0.0140434i | ||||
\(460\) | −0.479951 | + | 1.79120i | −0.0223778 | + | 0.0835152i | ||||
\(461\) | −33.6775 | − | 9.02386i | −1.56852 | − | 0.420283i | −0.633170 | − | 0.774013i | \(-0.718246\pi\) |
−0.935348 | + | 0.353730i | \(0.884913\pi\) | |||||||
\(462\) | −22.3290 | − | 13.4986i | −1.03884 | − | 0.628013i | ||||
\(463\) | −15.7649 | + | 15.7649i | −0.732657 | + | 0.732657i | −0.971145 | − | 0.238488i | \(-0.923348\pi\) |
0.238488 | + | 0.971145i | \(0.423348\pi\) | |||||||
\(464\) | −4.54507 | − | 2.62410i | −0.210999 | − | 0.121821i | ||||
\(465\) | −1.76567 | + | 2.59221i | −0.0818812 | + | 0.120211i | ||||
\(466\) | −15.7713 | − | 4.22591i | −0.730592 | − | 0.195762i | ||||
\(467\) | −8.38248 | − | 14.5189i | −0.387895 | − | 0.671854i | 0.604271 | − | 0.796779i | \(-0.293464\pi\) |
−0.992166 | + | 0.124925i | \(0.960131\pi\) | |||||||
\(468\) | 4.67337 | + | 9.75498i | 0.216027 | + | 0.450924i | ||||
\(469\) | −2.91220 | + | 3.24641i | −0.134473 | + | 0.149905i | ||||
\(470\) | −1.10144 | − | 4.11063i | −0.0508056 | − | 0.189609i | ||||
\(471\) | −11.9409 | − | 24.7677i | −0.550207 | − | 1.14124i | ||||
\(472\) | 5.92985i | 0.272944i | ||||||||
\(473\) | −2.04110 | − | 7.61750i | −0.0938500 | − | 0.350253i | ||||
\(474\) | −22.0080 | + | 18.9562i | −1.01086 | + | 0.870685i | ||||
\(475\) | −6.58648 | − | 1.76484i | −0.302208 | − | 0.0809765i | ||||
\(476\) | −0.313218 | + | 0.617553i | −0.0143563 | + | 0.0283055i | ||||
\(477\) | 1.61454 | − | 10.7758i | 0.0739247 | − | 0.493392i | ||||
\(478\) | − | 10.5837i | − | 0.484089i | ||||||
\(479\) | −6.19234 | + | 23.1101i | −0.282935 | + | 1.05593i | 0.667400 | + | 0.744700i | \(0.267407\pi\) |
−0.950335 | + | 0.311229i | \(0.899259\pi\) | |||||||
\(480\) | 0.0583513 | − | 0.783249i | 0.00266336 | − | 0.0357503i | ||||
\(481\) | −23.4105 | − | 20.2652i | −1.06743 | − | 0.924011i | ||||
\(482\) | − | 5.71157i | − | 0.260155i | ||||||
\(483\) | −16.4148 | + | 9.04114i | −0.746898 | + | 0.411386i | ||||
\(484\) | −10.7095 | + | 18.5493i | −0.486794 | + | 0.843152i | ||||
\(485\) | −0.402003 | + | 0.696290i | −0.0182540 | + | 0.0316169i | ||||
\(486\) | 12.5627 | + | 9.22924i | 0.569855 | + | 0.418647i | ||||
\(487\) | 11.6115 | + | 11.6115i | 0.526167 | + | 0.526167i | 0.919427 | − | 0.393260i | \(-0.128653\pi\) |
−0.393260 | + | 0.919427i | \(0.628653\pi\) | |||||||
\(488\) | −9.21945 | + | 2.47034i | −0.417345 | + | 0.111827i | ||||
\(489\) | −17.0640 | − | 5.96256i | −0.771661 | − | 0.269636i | ||||
\(490\) | 2.90458 | + | 1.28031i | 0.131215 | + | 0.0578386i | ||||
\(491\) | 18.2667 | − | 31.6388i | 0.824363 | − | 1.42784i | −0.0780426 | − | 0.996950i | \(-0.524867\pi\) |
0.902405 | − | 0.430888i | \(-0.141800\pi\) | |||||||
\(492\) | −3.45908 | + | 9.89939i | −0.155947 | + | 0.446299i | ||||
\(493\) | −1.18953 | − | 0.686775i | −0.0535737 | − | 0.0309308i | ||||
\(494\) | 4.61370 | + | 2.23839i | 0.207580 | + | 0.100710i | ||||
\(495\) | 7.66021 | + | 1.14773i | 0.344301 | + | 0.0515865i | ||||
\(496\) | 3.85724 | − | 1.03354i | 0.173195 | − | 0.0464075i | ||||
\(497\) | −11.9302 | − | 10.7020i | −0.535143 | − | 0.480051i | ||||
\(498\) | 0.192846 | + | 0.131356i | 0.00864163 | + | 0.00588622i | ||||
\(499\) | −2.19212 | + | 8.18110i | −0.0981327 | + | 0.366236i | −0.997476 | − | 0.0710074i | \(-0.977379\pi\) |
0.899343 | + | 0.437244i | \(0.144045\pi\) | |||||||
\(500\) | 3.14053 | − | 3.14053i | 0.140449 | − | 0.140449i | ||||
\(501\) | 12.5344 | − | 35.8716i | 0.559994 | − | 1.60262i | ||||
\(502\) | −19.9188 | − | 5.33724i | −0.889022 | − | 0.238213i | ||||
\(503\) | −1.38843 | + | 0.801610i | −0.0619070 | + | 0.0357420i | −0.530634 | − | 0.847601i | \(-0.678046\pi\) |
0.468727 | + | 0.883343i | \(0.344713\pi\) | |||||||
\(504\) | 6.11708 | − | 5.05780i | 0.272476 | − | 0.225292i | ||||
\(505\) | 1.86949 | + | 6.97703i | 0.0831912 | + | 0.310474i | ||||
\(506\) | 11.6420 | + | 20.1646i | 0.517552 | + | 0.896426i | ||||
\(507\) | 9.87854 | − | 20.2340i | 0.438721 | − | 0.898623i | ||||
\(508\) | −4.32933 | + | 7.49862i | −0.192083 | + | 0.332698i | ||||
\(509\) | −9.49727 | + | 9.49727i | −0.420959 | + | 0.420959i | −0.885534 | − | 0.464575i | \(-0.846207\pi\) |
0.464575 | + | 0.885534i | \(0.346207\pi\) | |||||||
\(510\) | 0.0152716 | − | 0.204991i | 0.000676239 | − | 0.00907715i | ||||
\(511\) | −5.35593 | + | 25.4295i | −0.236932 | + | 1.12493i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 7.38472 | − | 0.286037i | 0.326043 | − | 0.0126288i | ||||
\(514\) | 7.98124 | − | 7.98124i | 0.352037 | − | 0.352037i | ||||
\(515\) | −6.14010 | + | 1.64523i | −0.270565 | + | 0.0724977i | ||||
\(516\) | 2.39237 | + | 0.178229i | 0.105318 | + | 0.00784610i | ||||
\(517\) | −46.2758 | − | 26.7173i | −2.03521 | − | 1.17503i | ||||
\(518\) | −10.2775 | + | 20.2636i | −0.451568 | + | 0.890330i | ||||
\(519\) | 3.31195 | + | 6.86963i | 0.145378 | + | 0.301543i | ||||
\(520\) | −1.35356 | + | 0.917086i | −0.0593574 | + | 0.0402169i | ||||
\(521\) | 4.73174 | + | 2.73187i | 0.207301 | + | 0.119685i | 0.600057 | − | 0.799958i | \(-0.295145\pi\) |
−0.392755 | + | 0.919643i | \(0.628478\pi\) | |||||||
\(522\) | 9.36054 | + | 12.6599i | 0.409700 | + | 0.554107i | ||||
\(523\) | −12.0990 | −0.529054 | −0.264527 | − | 0.964378i | \(-0.585216\pi\) | ||||
−0.264527 | + | 0.964378i | \(0.585216\pi\) | |||||||
\(524\) | −7.12484 | − | 12.3406i | −0.311250 | − | 0.539101i | ||||
\(525\) | 21.9661 | + | 0.442611i | 0.958680 | + | 0.0193171i | ||||
\(526\) | 6.17725 | − | 23.0538i | 0.269341 | − | 1.00519i | ||||
\(527\) | 1.00951 | − | 0.270498i | 0.0439751 | − | 0.0117831i | ||||
\(528\) | −6.43606 | − | 7.47221i | −0.280094 | − | 0.325186i | ||||
\(529\) | −6.27681 | −0.272905 | ||||||||
\(530\) | 1.64699 | 0.0715408 | ||||||||
\(531\) | 7.09961 | − | 16.3115i | 0.308097 | − | 0.707857i | ||||
\(532\) | 0.775530 | − | 3.68215i | 0.0336235 | − | 0.159642i | ||||
\(533\) | 20.6249 | − | 7.14975i | 0.893366 | − | 0.309690i | ||||
\(534\) | −1.69803 | + | 2.49290i | −0.0734809 | + | 0.107878i | ||||
\(535\) | −1.78726 | + | 6.67015i | −0.0772700 | + | 0.288376i | ||||
\(536\) | −1.42754 | + | 0.824190i | −0.0616603 | + | 0.0355996i | ||||
\(537\) | 34.9950 | + | 2.60709i | 1.51014 | + | 0.112504i | ||||
\(538\) | −6.69783 | − | 6.69783i | −0.288764 | − | 0.288764i | ||||
\(539\) | 37.1559 | − | 14.4212i | 1.60042 | − | 0.621164i | ||||
\(540\) | −1.09827 | + | 2.08465i | −0.0472619 | + | 0.0897090i | ||||
\(541\) | −13.4904 | − | 3.61474i | −0.579998 | − | 0.155410i | −0.0431198 | − | 0.999070i | \(-0.513730\pi\) |
−0.536878 | + | 0.843660i | \(0.680396\pi\) | |||||||
\(542\) | − | 4.58456i | − | 0.196924i | ||||||
\(543\) | 10.7267 | + | 7.30643i | 0.460325 | + | 0.313549i | ||||
\(544\) | −0.185063 | + | 0.185063i | −0.00793452 | + | 0.00793452i | ||||
\(545\) | −2.74754 | −0.117692 | ||||||||
\(546\) | −16.1595 | − | 3.44519i | −0.691564 | − | 0.147441i | ||||
\(547\) | 13.7832 | 0.589326 | 0.294663 | − | 0.955601i | \(-0.404793\pi\) | ||||
0.294663 | + | 0.955601i | \(0.404793\pi\) | |||||||
\(548\) | 2.57796 | − | 2.57796i | 0.110125 | − | 0.110125i | ||||
\(549\) | 28.3179 | + | 4.24287i | 1.20858 | + | 0.181081i | ||||
\(550\) | − | 27.2980i | − | 1.16399i | ||||||
\(551\) | 7.20993 | + | 1.93190i | 0.307153 | + | 0.0823015i | ||||
\(552\) | −6.95899 | + | 1.31987i | −0.296194 | + | 0.0561774i | ||||
\(553\) | −2.40427 | − | 44.3037i | −0.102240 | − | 1.88399i | ||||
\(554\) | 11.1079 | + | 11.1079i | 0.471930 | + | 0.471930i | ||||
\(555\) | 0.501103 | − | 6.72630i | 0.0212706 | − | 0.285516i | ||||
\(556\) | 9.46041 | − | 5.46197i | 0.401211 | − | 0.231639i | ||||
\(557\) | 2.17234 | − | 8.10728i | 0.0920450 | − | 0.343517i | −0.904510 | − | 0.426453i | \(-0.859763\pi\) |
0.996555 | + | 0.0829361i | \(0.0264297\pi\) | |||||||
\(558\) | −11.8477 | − | 1.77514i | −0.501552 | − | 0.0751475i | ||||
\(559\) | −2.80116 | − | 4.13433i | −0.118477 | − | 0.174863i | ||||
\(560\) | 0.893074 | + | 0.801133i | 0.0377393 | + | 0.0338540i | ||||
\(561\) | −1.68444 | − | 1.95562i | −0.0711170 | − | 0.0825663i | ||||
\(562\) | 29.3179 | 1.23670 | ||||||||
\(563\) | 1.62164 | 0.0683438 | 0.0341719 | − | 0.999416i | \(-0.489121\pi\) | ||||
0.0341719 | + | 0.999416i | \(0.489121\pi\) | |||||||
\(564\) | 12.3161 | − | 10.6083i | 0.518602 | − | 0.446688i | ||||
\(565\) | −1.66101 | + | 0.445066i | −0.0698791 | + | 0.0187241i | ||||
\(566\) | −7.28060 | + | 27.1716i | −0.306027 | + | 1.14211i | ||||
\(567\) | −22.8820 | + | 6.58891i | −0.960954 | + | 0.276708i | ||||
\(568\) | −3.02881 | − | 5.24605i | −0.127086 | − | 0.220119i | ||||
\(569\) | −37.5849 | −1.57564 | −0.787820 | − | 0.615905i | \(-0.788790\pi\) | ||||
−0.787820 | + | 0.615905i | \(0.788790\pi\) | |||||||
\(570\) | 0.208157 | + | 1.09750i | 0.00871872 | + | 0.0459693i | ||||
\(571\) | 8.96101 | + | 5.17364i | 0.375006 | + | 0.216510i | 0.675643 | − | 0.737229i | \(-0.263866\pi\) |
−0.300637 | + | 0.953739i | \(0.597199\pi\) | |||||||
\(572\) | −3.87523 | + | 20.1601i | −0.162032 | + | 0.842935i | ||||
\(573\) | −13.6986 | + | 6.60431i | −0.572269 | + | 0.275899i | ||||
\(574\) | −8.74901 | − | 13.4177i | −0.365177 | − | 0.560046i | ||||
\(575\) | −16.9794 | − | 9.80305i | −0.708089 | − | 0.408815i | ||||
\(576\) | 2.79166 | − | 1.09847i | 0.116319 | − | 0.0457696i | ||||
\(577\) | −31.4780 | + | 8.43451i | −1.31045 | + | 0.351133i | −0.845391 | − | 0.534148i | \(-0.820633\pi\) |
−0.465056 | + | 0.885281i | \(0.653966\pi\) | |||||||
\(578\) | 11.9724 | − | 11.9724i | 0.497985 | − | 0.497985i | ||||
\(579\) | −16.5273 | + | 14.2355i | −0.686850 | + | 0.591606i | ||||
\(580\) | −1.68281 | + | 1.68281i | −0.0698750 | + | 0.0698750i | ||||
\(581\) | −0.338772 | + | 0.110769i | −0.0140546 | + | 0.00459546i | ||||
\(582\) | −3.06251 | − | 0.228154i | −0.126945 | − | 0.00945729i | ||||
\(583\) | 14.6230 | − | 14.6230i | 0.605621 | − | 0.605621i | ||||
\(584\) | −4.91116 | + | 8.50638i | −0.203225 | + | 0.351996i | ||||
\(585\) | 4.82127 | − | 0.902096i | 0.199335 | − | 0.0372971i | ||||
\(586\) | −10.3229 | − | 17.8798i | −0.426435 | − | 0.738606i | ||||
\(587\) | −9.43462 | − | 35.2105i | −0.389409 | − | 1.45329i | −0.831099 | − | 0.556125i | \(-0.812288\pi\) |
0.441690 | − | 0.897168i | \(-0.354379\pi\) | |||||||
\(588\) | 0.412969 | + | 12.1173i | 0.0170305 | + | 0.499710i | ||||
\(589\) | −4.91860 | + | 2.83975i | −0.202667 | + | 0.117010i | ||||
\(590\) | 2.59734 | + | 0.695955i | 0.106931 | + | 0.0286520i | ||||
\(591\) | −22.4661 | − | 7.85018i | −0.924131 | − | 0.322913i | ||||
\(592\) | −6.07241 | + | 6.07241i | −0.249575 | + | 0.249575i | ||||
\(593\) | 6.30048 | − | 23.5137i | 0.258730 | − | 0.965593i | −0.707247 | − | 0.706966i | \(-0.750063\pi\) |
0.965977 | − | 0.258627i | \(-0.0832700\pi\) | |||||||
\(594\) | 8.75768 | + | 28.2598i | 0.359332 | + | 1.15951i | ||||
\(595\) | 0.233734 | + | 0.209672i | 0.00958217 | + | 0.00859570i | ||||
\(596\) | 19.0568 | − | 5.10625i | 0.780596 | − | 0.209160i | ||||
\(597\) | −26.0982 | − | 17.7767i | −1.06813 | − | 0.727552i | ||||
\(598\) | 11.1479 | + | 9.65013i | 0.455873 | + | 0.394623i | ||||
\(599\) | 40.1828 | + | 23.1996i | 1.64183 | + | 0.947909i | 0.980184 | + | 0.198089i | \(0.0634735\pi\) |
0.661642 | + | 0.749820i | \(0.269860\pi\) | |||||||
\(600\) | 7.83930 | + | 2.73923i | 0.320038 | + | 0.111829i | ||||
\(601\) | −17.8843 | + | 30.9765i | −0.729515 | + | 1.26356i | 0.227573 | + | 0.973761i | \(0.426921\pi\) |
−0.957088 | + | 0.289796i | \(0.906413\pi\) | |||||||
\(602\) | −2.44699 | + | 2.72782i | −0.0997320 | + | 0.111178i | ||||
\(603\) | 4.91356 | − | 0.557985i | 0.200095 | − | 0.0227229i | ||||
\(604\) | −1.89751 | + | 0.508437i | −0.0772087 | + | 0.0206880i | ||||
\(605\) | 6.86790 | + | 6.86790i | 0.279220 | + | 0.279220i | ||||
\(606\) | −20.9043 | + | 18.0055i | −0.849179 | + | 0.731425i | ||||
\(607\) | −14.1838 | + | 24.5671i | −0.575704 | + | 0.997148i | 0.420261 | + | 0.907403i | \(0.361938\pi\) |
−0.995965 | + | 0.0897446i | \(0.971395\pi\) | |||||||
\(608\) | 0.711128 | − | 1.23171i | 0.0288400 | − | 0.0499524i | ||||
\(609\) | −24.0454 | − | 0.484508i | −0.974367 | − | 0.0196332i | ||||
\(610\) | 4.32815i | 0.175242i | ||||||||
\(611\) | −33.2289 | − | 6.38737i | −1.34430 | − | 0.258405i | ||||
\(612\) | 0.730630 | − | 0.287490i | 0.0295340 | − | 0.0116211i | ||||
\(613\) | −4.83589 | + | 18.0478i | −0.195320 | + | 0.728943i | 0.796864 | + | 0.604159i | \(0.206491\pi\) |
−0.992184 | + | 0.124785i | \(0.960176\pi\) | |||||||
\(614\) | − | 32.6749i | − | 1.31865i | ||||||
\(615\) | 3.93007 | + | 2.67695i | 0.158476 | + | 0.107945i | ||||
\(616\) | 15.0421 | − | 0.816305i | 0.606065 | − | 0.0328899i | ||||
\(617\) | 43.9291 | + | 11.7708i | 1.76852 | + | 0.473873i | 0.988415 | − | 0.151778i | \(-0.0485000\pi\) |
0.780103 | + | 0.625651i | \(0.215167\pi\) | |||||||
\(618\) | −15.8457 | − | 18.3967i | −0.637407 | − | 0.740025i | ||||
\(619\) | −7.55993 | − | 28.2140i | −0.303859 | − | 1.13402i | −0.933923 | − | 0.357474i | \(-0.883638\pi\) |
0.630064 | − | 0.776543i | \(-0.283029\pi\) | |||||||
\(620\) | − | 1.81081i | − | 0.0727241i | ||||||
\(621\) | 20.7226 | + | 4.70115i | 0.831568 | + | 0.188650i | ||||
\(622\) | −5.56639 | − | 20.7740i | −0.223192 | − | 0.832963i | ||||
\(623\) | −1.43190 | − | 4.37927i | −0.0573677 | − | 0.175452i | ||||
\(624\) | −5.40060 | − | 3.13584i | −0.216197 | − | 0.125534i | ||||
\(625\) | 10.9789 | + | 19.0161i | 0.439157 | + | 0.760643i | ||||
\(626\) | 6.22350 | + | 1.66758i | 0.248741 | + | 0.0666500i | ||||
\(627\) | 11.5924 | + | 7.89612i | 0.462956 | + | 0.315341i | ||||
\(628\) | 13.7480 | + | 7.93738i | 0.548603 | + | 0.316736i | ||||
\(629\) | −1.58927 | + | 1.58927i | −0.0633682 | + | 0.0633682i | ||||
\(630\) | −1.49744 | − | 3.27295i | −0.0596595 | − | 0.130398i | ||||
\(631\) | −6.48111 | − | 1.73661i | −0.258009 | − | 0.0691332i | 0.127496 | − | 0.991839i | \(-0.459306\pi\) |
−0.385505 | + | 0.922706i | \(0.625973\pi\) | |||||||
\(632\) | 4.34036 | − | 16.1985i | 0.172650 | − | 0.644340i | ||||
\(633\) | 10.4980 | + | 21.7749i | 0.417258 | + | 0.865474i | ||||
\(634\) | −9.71554 | + | 5.60927i | −0.385853 | + | 0.222772i | ||||
\(635\) | 2.77637 | + | 2.77637i | 0.110177 | + | 0.110177i | ||||
\(636\) | 2.73199 | + | 5.66669i | 0.108331 | + | 0.224699i | ||||
\(637\) | 19.2398 | − | 16.3349i | 0.762310 | − | 0.647212i | ||||
\(638\) | 29.8820i | 1.18304i | ||||||||
\(639\) | 2.05054 | + | 18.0568i | 0.0811180 | + | 0.714316i | ||||
\(640\) | 0.226731 | + | 0.392710i | 0.00896233 | + | 0.0155232i | ||||
\(641\) | 16.8296 | 0.664730 | 0.332365 | − | 0.943151i | \(-0.392153\pi\) | ||||
0.332365 | + | 0.943151i | \(0.392153\pi\) | |||||||
\(642\) | −25.9142 | + | 4.91499i | −1.02275 | + | 0.193979i | ||||
\(643\) | −11.9656 | + | 44.6563i | −0.471878 | + | 1.76107i | 0.161135 | + | 0.986932i | \(0.448485\pi\) |
−0.633013 | + | 0.774141i | \(0.718182\pi\) | |||||||
\(644\) | 4.89408 | − | 9.64937i | 0.192854 | − | 0.380238i | ||||
\(645\) | 0.358846 | − | 1.02697i | 0.0141295 | − | 0.0404367i | ||||
\(646\) | 0.186116 | − | 0.322362i | 0.00732262 | − | 0.0126832i | ||||
\(647\) | 7.82320 | + | 13.5502i | 0.307562 | + | 0.532712i | 0.977828 | − | 0.209408i | \(-0.0671536\pi\) |
−0.670267 | + | 0.742120i | \(0.733820\pi\) | |||||||
\(648\) | −8.99428 | − | 0.320759i | −0.353329 | − | 0.0126006i | ||||
\(649\) | 29.2398 | − | 16.8816i | 1.14776 | − | 0.662660i | ||||
\(650\) | −5.66186 | − | 16.3328i | −0.222077 | − | 0.640626i | ||||
\(651\) | 13.1979 | − | 12.6765i | 0.517265 | − | 0.496831i | ||||
\(652\) | 10.0804 | − | 2.70104i | 0.394780 | − | 0.105781i | ||||
\(653\) | 45.3019i | 1.77280i | 0.462921 | + | 0.886399i | \(0.346801\pi\) | ||||
−0.462921 | + | 0.886399i | \(0.653199\pi\) | |||||||
\(654\) | −4.55756 | − | 9.45327i | −0.178215 | − | 0.369652i | ||||
\(655\) | −6.24151 | + | 1.67241i | −0.243876 | + | 0.0653464i | ||||
\(656\) | −1.56697 | − | 5.84799i | −0.0611797 | − | 0.228326i | ||||
\(657\) | 23.6937 | − | 17.5188i | 0.924379 | − | 0.683475i | ||||
\(658\) | 1.34548 | + | 24.7933i | 0.0524522 | + | 0.966543i | ||||
\(659\) | −9.16402 | + | 5.29085i | −0.356980 | + | 0.206102i | −0.667755 | − | 0.744381i | \(-0.732745\pi\) |
0.310775 | + | 0.950483i | \(0.399411\pi\) | |||||||
\(660\) | −4.02828 | + | 1.94209i | −0.156800 | + | 0.0755957i | ||||
\(661\) | −22.0738 | − | 5.91465i | −0.858570 | − | 0.230053i | −0.197431 | − | 0.980317i | \(-0.563260\pi\) |
−0.661139 | + | 0.750264i | \(0.729927\pi\) | |||||||
\(662\) | −5.13201 | + | 8.88891i | −0.199461 | + | 0.345477i | ||||
\(663\) | −1.41344 | − | 0.820709i | −0.0548934 | − | 0.0318737i | ||||
\(664\) | −0.134715 | −0.00522794 | ||||||||
\(665\) | −1.52180 | − | 0.771845i | −0.0590130 | − | 0.0299309i | ||||
\(666\) | 23.9739 | − | 9.43332i | 0.928970 | − | 0.365534i | ||||
\(667\) | 18.5866 | + | 10.7310i | 0.719676 | + | 0.415505i | ||||
\(668\) | 5.67807 | + | 21.1909i | 0.219691 | + | 0.819899i | ||||
\(669\) | −16.7803 | + | 48.0227i | −0.648763 | + | 1.85667i | ||||
\(670\) | 0.193461 | + | 0.722008i | 0.00747407 | + | 0.0278936i | ||||
\(671\) | 38.4278 | + | 38.4278i | 1.48349 | + | 1.48349i | ||||
\(672\) | −1.27499 | + | 4.40164i | −0.0491838 | + | 0.169797i | ||||
\(673\) | 39.8433 | + | 23.0035i | 1.53585 | + | 0.886721i | 0.999075 | + | 0.0429919i | \(0.0136890\pi\) |
0.536770 | + | 0.843729i | \(0.319644\pi\) | |||||||
\(674\) | 22.5939 | + | 22.5939i | 0.870284 | + | 0.870284i | ||||
\(675\) | −18.2843 | − | 16.9206i | −0.703761 | − | 0.651276i | ||||
\(676\) | 1.86278 | + | 12.8658i | 0.0716452 | + | 0.494840i | ||||
\(677\) | 20.8682 | − | 12.0482i | 0.802028 | − | 0.463051i | −0.0421516 | − | 0.999111i | \(-0.513421\pi\) |
0.844180 | + | 0.536060i | \(0.180088\pi\) | |||||||
\(678\) | −4.28655 | − | 4.97664i | −0.164624 | − | 0.191127i | ||||
\(679\) | 3.13244 | − | 3.49193i | 0.120212 | − | 0.134008i | ||||
\(680\) | 0.0593398 | + | 0.102780i | 0.00227558 | + | 0.00394142i | ||||
\(681\) | 1.63536 | + | 8.62238i | 0.0626670 | + | 0.330410i | ||||
\(682\) | −16.0775 | − | 16.0775i | −0.615638 | − | 0.615638i | ||||
\(683\) | −7.97254 | − | 7.97254i | −0.305061 | − | 0.305061i | 0.537929 | − | 0.842990i | \(-0.319207\pi\) |
−0.842990 | + | 0.537929i | \(0.819207\pi\) | |||||||
\(684\) | −3.43081 | + | 2.53670i | −0.131180 | + | 0.0969932i | ||||
\(685\) | −0.826612 | − | 1.43173i | −0.0315832 | − | 0.0547038i | ||||
\(686\) | −15.0435 | − | 10.8024i | −0.574365 | − | 0.412437i | ||||
\(687\) | −3.24525 | + | 2.79524i | −0.123814 | + | 0.106645i | ||||
\(688\) | −1.19950 | + | 0.692531i | −0.0457305 | + | 0.0264025i | ||||
\(689\) | 5.71620 | − | 11.7821i | 0.217770 | − | 0.448861i | ||||
\(690\) | −0.238622 | + | 3.20302i | −0.00908418 | + | 0.121937i | ||||
\(691\) | 4.53400 | + | 4.53400i | 0.172482 | + | 0.172482i | 0.788069 | − | 0.615587i | \(-0.211081\pi\) |
−0.615587 | + | 0.788069i | \(0.711081\pi\) | |||||||
\(692\) | −3.81316 | − | 2.20153i | −0.144955 | − | 0.0836896i | ||||
\(693\) | −42.3543 | − | 15.7640i | −1.60891 | − | 0.598825i | ||||
\(694\) | 4.05101 | + | 4.05101i | 0.153774 | + | 0.153774i | ||||
\(695\) | −1.28208 | − | 4.78480i | −0.0486322 | − | 0.181498i | ||||
\(696\) | −8.58134 | − | 2.99852i | −0.325275 | − | 0.113659i | ||||
\(697\) | −0.410104 | − | 1.53053i | −0.0155338 | − | 0.0579730i | ||||
\(698\) | −10.2355 | − | 5.90949i | −0.387421 | − | 0.223677i | ||||
\(699\) | −28.2022 | − | 2.10104i | −1.06671 | − | 0.0794686i | ||||
\(700\) | −10.6255 | + | 6.92831i | −0.401605 | + | 0.261866i | ||||
\(701\) | −13.6748 | −0.516492 | −0.258246 | − | 0.966079i | \(-0.583144\pi\) | ||||
−0.258246 | + | 0.966079i | \(0.583144\pi\) | |||||||
\(702\) | 11.1012 | + | 15.0918i | 0.418988 | + | 0.569605i | ||||
\(703\) | 6.10695 | − | 10.5775i | 0.230328 | − | 0.398940i | ||||
\(704\) | 5.49975 | + | 1.47365i | 0.207280 | + | 0.0555404i | ||||
\(705\) | −3.20106 | − | 6.63962i | −0.120559 | − | 0.250063i | ||||
\(706\) | 4.51611 | − | 2.60738i | 0.169966 | − | 0.0981299i | ||||
\(707\) | −2.28370 | − | 42.0820i | −0.0858874 | − | 1.58266i | ||||
\(708\) | 1.91388 | + | 10.0909i | 0.0719281 | + | 0.379240i | ||||
\(709\) | 4.83553 | + | 18.0464i | 0.181602 | + | 0.677748i | 0.995332 | + | 0.0965055i | \(0.0307665\pi\) |
−0.813730 | + | 0.581242i | \(0.802567\pi\) | |||||||
\(710\) | −2.65330 | + | 0.710950i | −0.0995767 | + | 0.0266815i | ||||
\(711\) | −31.3331 | + | 39.3611i | −1.17508 | + | 1.47616i | ||||
\(712\) | − | 1.74144i | − | 0.0652633i | ||||||
\(713\) | −15.7738 | + | 4.22658i | −0.590733 | + | 0.158287i | ||||
\(714\) | −0.333689 | + | 1.15199i | −0.0124880 | + | 0.0431122i | ||||
\(715\) | 8.37552 | + | 4.06347i | 0.313227 | + | 0.151965i | ||||
\(716\) | −17.5460 | + | 10.1302i | −0.655724 | + | 0.378582i | ||||
\(717\) | −3.41595 | − | 18.0105i | −0.127571 | − | 0.672615i | ||||
\(718\) | −10.6824 | − | 18.5024i | −0.398663 | − | 0.690505i | ||||
\(719\) | 7.71621 | − | 13.3649i | 0.287766 | − | 0.498425i | −0.685510 | − | 0.728063i | \(-0.740421\pi\) |
0.973276 | + | 0.229638i | \(0.0737541\pi\) | |||||||
\(720\) | −0.153499 | − | 1.35170i | −0.00572059 | − | 0.0503748i | ||||
\(721\) | 37.0340 | − | 2.00976i | 1.37922 | − | 0.0748473i | ||||
\(722\) | 4.39402 | − | 16.3987i | 0.163528 | − | 0.610297i | ||||
\(723\) | −1.84343 | − | 9.71945i | −0.0685579 | − | 0.361470i | ||||
\(724\) | −7.49322 | −0.278483 | ||||||||
\(725\) | −12.5809 | − | 21.7907i | −0.467243 | − | 0.809288i | ||||
\(726\) | −12.2376 | + | 35.0222i | −0.454179 | + | 1.29980i | ||||
\(727\) | 4.06638i | 0.150814i | 0.997153 | + | 0.0754068i | \(0.0240255\pi\) | ||||
−0.997153 | + | 0.0754068i | \(0.975974\pi\) | |||||||
\(728\) | 8.83064 | − | 3.60829i | 0.327285 | − | 0.133732i | ||||
\(729\) | 24.3569 | + | 11.6509i | 0.902106 | + | 0.431514i | ||||
\(730\) | 3.14949 | + | 3.14949i | 0.116568 | + | 0.116568i | ||||
\(731\) | −0.313932 | + | 0.181248i | −0.0116112 | + | 0.00670372i | ||||
\(732\) | −14.8916 | + | 7.17943i | −0.550408 | + | 0.265359i | ||||
\(733\) | −9.47861 | + | 35.3747i | −0.350100 | + | 1.30659i | 0.536439 | + | 0.843939i | \(0.319769\pi\) |
−0.886539 | + | 0.462654i | \(0.846897\pi\) | |||||||
\(734\) | 29.6180 | + | 7.93612i | 1.09322 | + | 0.292928i | ||||
\(735\) | 5.35598 | + | 1.24126i | 0.197558 | + | 0.0457846i | ||||
\(736\) | 2.89164 | − | 2.89164i | 0.106587 | − | 0.106587i | ||||
\(737\) | 8.12807 | + | 4.69274i | 0.299401 | + | 0.172859i | ||||
\(738\) | −2.69130 | + | 17.9624i | −0.0990680 | + | 0.661204i | ||||
\(739\) | 36.4971 | + | 9.77936i | 1.34257 | + | 0.359740i | 0.857386 | − | 0.514674i | \(-0.172087\pi\) |
0.485181 | + | 0.874414i | \(0.338754\pi\) | |||||||
\(740\) | 1.94710 | + | 3.37247i | 0.0715767 | + | 0.123974i | ||||
\(741\) | 8.57364 | + | 2.32000i | 0.314960 | + | 0.0852274i | ||||
\(742\) | −9.40317 | − | 1.98048i | −0.345201 | − | 0.0727059i | ||||
\(743\) | 2.63477 | + | 9.83308i | 0.0966602 | + | 0.360741i | 0.997266 | − | 0.0738963i | \(-0.0235434\pi\) |
−0.900606 | + | 0.434637i | \(0.856877\pi\) | |||||||
\(744\) | 6.23034 | − | 3.00374i | 0.228415 | − | 0.110122i | ||||
\(745\) | − | 8.94636i | − | 0.327769i | ||||||
\(746\) | −7.33100 | − | 27.3596i | −0.268407 | − | 1.00171i | ||||
\(747\) | 0.370564 | + | 0.161289i | 0.0135582 | + | 0.00590126i | ||||
\(748\) | 1.43939 | + | 0.385683i | 0.0526293 | + | 0.0141020i | ||||
\(749\) | 18.2248 | − | 35.9327i | 0.665918 | − | 1.31295i | ||||
\(750\) | 4.33066 | − | 6.35790i | 0.158133 | − | 0.232158i | ||||
\(751\) | − | 1.11822i | − | 0.0408043i | −0.999792 | − | 0.0204022i | \(-0.993505\pi\) | ||
0.999792 | − | 0.0204022i | \(-0.00649466\pi\) | |||||||
\(752\) | −2.42896 | + | 9.06499i | −0.0885750 | + | 0.330566i | ||||
\(753\) | −35.6188 | − | 2.65357i | −1.29802 | − | 0.0967013i | ||||
\(754\) | 6.19780 | + | 17.8788i | 0.225710 | + | 0.651109i | ||||
\(755\) | 0.890804i | 0.0324197i | ||||||||
\(756\) | 8.77709 | − | 10.5812i | 0.319220 | − | 0.384836i | ||||
\(757\) | 17.9794 | − | 31.1411i | 0.653471 | − | 1.13184i | −0.328804 | − | 0.944398i | \(-0.606646\pi\) |
0.982275 | − | 0.187446i | \(-0.0600210\pi\) | |||||||
\(758\) | −4.88155 | + | 8.45509i | −0.177306 | + | 0.307103i | ||||
\(759\) | 26.3196 | + | 30.5569i | 0.955342 | + | 1.10914i | ||||
\(760\) | −0.456041 | − | 0.456041i | −0.0165423 | − | 0.0165423i | ||||
\(761\) | −46.9082 | + | 12.5690i | −1.70042 | + | 0.455626i | −0.973045 | − | 0.230614i | \(-0.925926\pi\) |
−0.727375 | + | 0.686240i | \(0.759260\pi\) | |||||||
\(762\) | −4.94707 | + | 14.1578i | −0.179214 | + | 0.512884i | ||||
\(763\) | 15.6865 | + | 3.30388i | 0.567891 | + | 0.119608i | ||||
\(764\) | 4.39004 | − | 7.60377i | 0.158826 | − | 0.275095i | ||||
\(765\) | −0.0401737 | − | 0.353765i | −0.00145248 | − | 0.0127904i | ||||
\(766\) | 8.35011 | + | 4.82094i | 0.301702 | + | 0.174188i | ||||
\(767\) | 13.9932 | − | 16.1651i | 0.505266 | − | 0.583689i | ||||
\(768\) | −0.975072 | + | 1.43151i | −0.0351849 | + | 0.0516553i | ||||
\(769\) | 41.5055 | − | 11.1214i | 1.49673 | − | 0.401046i | 0.584724 | − | 0.811232i | \(-0.301203\pi\) |
0.912002 | + | 0.410186i | \(0.134536\pi\) | |||||||
\(770\) | 1.40787 | − | 6.68443i | 0.0507360 | − | 0.240890i | ||||
\(771\) | 11.0058 | − | 16.1578i | 0.396364 | − | 0.581907i | ||||
\(772\) | 3.25947 | − | 12.1645i | 0.117311 | − | 0.437811i | ||||
\(773\) | 21.4904 | − | 21.4904i | 0.772955 | − | 0.772955i | −0.205667 | − | 0.978622i | \(-0.565936\pi\) |
0.978622 | + | 0.205667i | \(0.0659365\pi\) | |||||||
\(774\) | 4.12865 | − | 0.468851i | 0.148401 | − | 0.0168525i | ||||
\(775\) | 18.4930 | + | 4.95520i | 0.664290 | + | 0.177996i | ||||
\(776\) | 1.53550 | − | 0.886520i | 0.0551212 | − | 0.0318242i | ||||
\(777\) | −10.9492 | + | 37.7999i | −0.392801 | + | 1.35606i | ||||
\(778\) | 0.146025 | + | 0.544974i | 0.00523526 | + | 0.0195383i | ||||
\(779\) | 4.30537 | + | 7.45713i | 0.154256 | + | 0.267179i | ||||
\(780\) | −2.00737 | + | 1.99748i | −0.0718755 | + | 0.0715214i | ||||
\(781\) | −17.2453 | + | 29.8698i | −0.617086 | + | 1.06882i | ||||
\(782\) | 0.756797 | − | 0.756797i | 0.0270630 | − | 0.0270630i | ||||
\(783\) | 20.0150 | + | 18.5223i | 0.715277 | + | 0.661933i | ||||
\(784\) | −4.13548 | − | 5.64782i | −0.147696 | − | 0.201708i | ||||
\(785\) | 5.09018 | − | 5.09018i | 0.181676 | − | 0.181676i | ||||
\(786\) | −16.1074 | − | 18.7006i | −0.574532 | − | 0.667027i | ||||
\(787\) | 28.6252 | − | 28.6252i | 1.02038 | − | 1.02038i | 0.0205919 | − | 0.999788i | \(-0.493445\pi\) |
0.999788 | − | 0.0205919i | \(-0.00655507\pi\) | |||||||
\(788\) | 13.2717 | − | 3.55613i | 0.472784 | − | 0.126682i | ||||
\(789\) | 3.07120 | − | 41.2247i | 0.109338 | − | 1.46764i | ||||
\(790\) | −6.58569 | − | 3.80225i | −0.234308 | − | 0.135278i | ||||
\(791\) | 10.0184 | − | 0.543676i | 0.356212 | − | 0.0193309i | ||||
\(792\) | −13.3640 | − | 10.6383i | −0.474870 | − | 0.378016i | ||||
\(793\) | 30.9622 | + | 15.0217i | 1.09950 | + | 0.533435i | ||||
\(794\) | −18.4579 | − | 10.6567i | −0.655047 | − | 0.378191i | ||||
\(795\) | 2.80271 | − | 0.531573i | 0.0994019 | − | 0.0188530i | ||||
\(796\) | 18.2312 | 0.646187 | ||||||||
\(797\) | −10.9625 | − | 18.9877i | −0.388313 | − | 0.672578i | 0.603910 | − | 0.797053i | \(-0.293609\pi\) |
−0.992223 | + | 0.124475i | \(0.960275\pi\) | |||||||
\(798\) | 0.131301 | − | 6.51627i | 0.00464801 | − | 0.230674i | ||||
\(799\) | −0.635704 | + | 2.37248i | −0.0224896 | + | 0.0839323i | ||||
\(800\) | −4.63101 | + | 1.24087i | −0.163731 | + | 0.0438715i | ||||
\(801\) | −2.08497 | + | 4.79025i | −0.0736687 | + | 0.169255i | ||||
\(802\) | 1.35054 | 0.0476892 | ||||||||
\(803\) | 55.9259 | 1.97358 | ||||||||
\(804\) | −2.16325 | + | 1.86328i | −0.0762920 | + | 0.0657128i | ||||
\(805\) | −3.65214 | − | 3.27615i | −0.128721 | − | 0.115469i | ||||
\(806\) | −12.9540 | − | 6.28478i | −0.456286 | − | 0.221372i | ||||
\(807\) | −13.5595 | − | 9.23604i | −0.477318 | − | 0.325124i | ||||
\(808\) | 4.12270 | − | 15.3861i | 0.145036 | − | 0.541282i | ||||
\(809\) | −36.3891 | + | 21.0092i | −1.27937 | + | 0.738646i | −0.976733 | − | 0.214460i | \(-0.931201\pi\) |
−0.302639 | + | 0.953105i | \(0.597868\pi\) | |||||||
\(810\) | −1.19611 | + | 3.90195i | −0.0420269 | + | 0.137100i | ||||
\(811\) | −10.6439 | − | 10.6439i | −0.373758 | − | 0.373758i | 0.495086 | − | 0.868844i | \(-0.335137\pi\) |
−0.868844 | + | 0.495086i | \(0.835137\pi\) | |||||||
\(812\) | 11.6312 | − | 7.58412i | 0.408176 | − | 0.266151i | ||||
\(813\) | −1.47968 | − | 7.80161i | −0.0518948 | − | 0.273614i | ||||
\(814\) | 47.2302 | + | 12.6553i | 1.65542 | + | 0.443568i | ||||
\(815\) | − | 4.73234i | − | 0.165767i | ||||||
\(816\) | −0.255195 | + | 0.374654i | −0.00893360 | + | 0.0131155i | ||||
\(817\) | 1.39294 | − | 1.39294i | 0.0487328 | − | 0.0487328i | ||||
\(818\) | 1.83833 | 0.0642758 | ||||||||
\(819\) | −28.6109 | − | 0.647174i | −0.999744 | − | 0.0226141i | ||||
\(820\) | −2.74539 | −0.0958732 | ||||||||
\(821\) | −19.2225 | + | 19.2225i | −0.670870 | + | 0.670870i | −0.957917 | − | 0.287047i | \(-0.907327\pi\) |
0.287047 | + | 0.957917i | \(0.407327\pi\) | |||||||
\(822\) | 3.55490 | − | 5.21899i | 0.123991 | − | 0.182033i | ||||
\(823\) | − | 49.7026i | − | 1.73252i | −0.499590 | − | 0.866262i | \(-0.666516\pi\) | ||
0.499590 | − | 0.866262i | \(-0.333484\pi\) | |||||||
\(824\) | 13.5405 | + | 3.62816i | 0.471705 | + | 0.126393i | ||||
\(825\) | −8.81054 | − | 46.4534i | −0.306744 | − | 1.61730i | ||||
\(826\) | −13.9921 | − | 7.09668i | −0.486848 | − | 0.246925i | ||||
\(827\) | 39.5130 | + | 39.5130i | 1.37400 | + | 1.37400i | 0.854419 | + | 0.519584i | \(0.173913\pi\) |
0.519584 | + | 0.854419i | \(0.326087\pi\) | |||||||
\(828\) | −11.4162 | + | 4.49208i | −0.396741 | + | 0.156111i | ||||
\(829\) | 6.08826 | − | 3.51506i | 0.211454 | − | 0.122083i | −0.390533 | − | 0.920589i | \(-0.627709\pi\) |
0.601987 | + | 0.798506i | \(0.294376\pi\) | |||||||
\(830\) | −0.0158107 | + | 0.0590064i | −0.000548798 | + | 0.00204814i | ||||
\(831\) | 22.4876 | + | 15.3174i | 0.780087 | + | 0.531354i | ||||
\(832\) | 3.59624 | − | 0.258990i | 0.124677 | − | 0.00897885i | ||||
\(833\) | −1.08233 | − | 1.47814i | −0.0375006 | − | 0.0512145i | ||||
\(834\) | 14.3360 | − | 12.3481i | 0.496416 | − | 0.427579i | ||||
\(835\) | 9.94823 | 0.344273 | ||||||||
\(836\) | −8.09799 | −0.280075 | ||||||||
\(837\) | −20.7343 | + | 0.803115i | −0.716682 | + | 0.0277597i | ||||
\(838\) | 5.34006 | − | 1.43087i | 0.184469 | − | 0.0494284i | ||||
\(839\) | 5.88608 | − | 21.9672i | 0.203210 | − | 0.758390i | −0.786778 | − | 0.617237i | \(-0.788252\pi\) |
0.989988 | − | 0.141154i | \(-0.0450812\pi\) | |||||||
\(840\) | 1.77833 | + | 1.07506i | 0.0613580 | + | 0.0370930i | ||||
\(841\) | −0.728243 | − | 1.26135i | −0.0251118 | − | 0.0434950i | ||||
\(842\) | −30.3875 | −1.04722 | ||||||||
\(843\) | 49.8907 | − | 9.46247i | 1.71833 | − | 0.325905i | ||||
\(844\) | −12.0867 | − | 6.97826i | −0.416041 | − | 0.240202i | ||||
\(845\) | 5.85400 | + | 0.694080i | 0.201384 | + | 0.0238771i | ||||
\(846\) | 17.5346 | − | 22.0273i | 0.602853 | − | 0.757314i | ||||
\(847\) | −30.9524 | − | 47.4695i | −1.06354 | − | 1.63107i | ||||
\(848\) | −3.14544 | − | 1.81602i | −0.108015 | − | 0.0623624i | ||||
\(849\) | −3.61977 | + | 48.5881i | −0.124230 | + | 1.66754i | ||||
\(850\) | −1.21202 | + | 0.324760i | −0.0415720 | + | 0.0111392i | ||||
\(851\) | 24.8325 | − | 24.8325i | 0.851248 | − | 0.851248i | ||||
\(852\) | −6.84735 | − | 7.94972i | −0.234586 | − | 0.272353i | ||||
\(853\) | 23.4720 | − | 23.4720i | 0.803667 | − | 0.803667i | −0.179999 | − | 0.983667i | \(-0.557610\pi\) |
0.983667 | + | 0.179999i | \(0.0576096\pi\) | |||||||
\(854\) | 5.20454 | − | 24.7107i | 0.178096 | − | 0.845583i | ||||
\(855\) | 0.708446 | + | 1.80045i | 0.0242283 | + | 0.0615741i | ||||
\(856\) | 10.7680 | − | 10.7680i | 0.368043 | − | 0.368043i | ||||
\(857\) | −10.2906 | + | 17.8238i | −0.351519 | + | 0.608848i | −0.986516 | − | 0.163666i | \(-0.947668\pi\) |
0.634997 | + | 0.772515i | \(0.281001\pi\) | |||||||
\(858\) | −0.0877913 | + | 35.5574i | −0.00299715 | + | 1.21391i | ||||
\(859\) | −5.22372 | − | 9.04775i | −0.178231 | − | 0.308705i | 0.763044 | − | 0.646347i | \(-0.223704\pi\) |
−0.941275 | + | 0.337642i | \(0.890371\pi\) | |||||||
\(860\) | 0.162557 | + | 0.606672i | 0.00554316 | + | 0.0206874i | ||||
\(861\) | −19.2189 | − | 20.0094i | −0.654980 | − | 0.681918i | ||||
\(862\) | −10.7039 | + | 6.17989i | −0.364576 | + | 0.210488i | ||||
\(863\) | 9.91870 | + | 2.65771i | 0.337637 | + | 0.0904695i | 0.423654 | − | 0.905824i | \(-0.360747\pi\) |
−0.0860172 | + | 0.996294i | \(0.527414\pi\) | |||||||
\(864\) | 4.39607 | − | 2.77030i | 0.149557 | − | 0.0942475i | ||||
\(865\) | −1.41182 | + | 1.41182i | −0.0480034 | + | 0.0480034i | ||||
\(866\) | 0.628972 | − | 2.34736i | 0.0213734 | − | 0.0797664i | ||||
\(867\) | 16.5094 | − | 24.2377i | 0.560690 | − | 0.823155i | ||||
\(868\) | −2.17748 | + | 10.3385i | −0.0739084 | + | 0.350911i | ||||
\(869\) | −92.2302 | + | 24.7130i | −3.12869 | + | 0.838331i | ||||
\(870\) | −2.32053 | + | 3.40680i | −0.0786734 | + | 0.115501i | ||||
\(871\) | 5.83647 | + | 1.12190i | 0.197761 | + | 0.0380142i | ||||
\(872\) | 5.24728 | + | 3.02952i | 0.177695 | + | 0.102592i | ||||
\(873\) | −5.28515 | + | 0.600184i | −0.178875 | + | 0.0203132i | ||||
\(874\) | −2.90809 | + | 5.03695i | −0.0983675 | + | 0.170377i | ||||
\(875\) | 3.65191 | + | 11.1689i | 0.123457 | + | 0.377578i | ||||
\(876\) | −5.61192 | + | 16.0605i | −0.189609 | + | 0.542634i | ||||
\(877\) | −31.2419 | + | 8.37123i | −1.05496 | + | 0.282676i | −0.744301 | − | 0.667844i | \(-0.767217\pi\) |
−0.310662 | + | 0.950521i | \(0.600551\pi\) | |||||||
\(878\) | 7.73928 | + | 7.73928i | 0.261188 | + | 0.261188i | ||||
\(879\) | −23.3374 | − | 27.0945i | −0.787150 | − | 0.913874i | ||||
\(880\) | 1.29095 | − | 2.23600i | 0.0435180 | − | 0.0753754i | ||||
\(881\) | 5.58224 | − | 9.66873i | 0.188071 | − | 0.325748i | −0.756536 | − | 0.653952i | \(-0.773110\pi\) |
0.944607 | + | 0.328204i | \(0.106443\pi\) | |||||||
\(882\) | 4.61367 | + | 20.4869i | 0.155350 | + | 0.689831i | ||||
\(883\) | 33.9142i | 1.14130i | 0.821192 | + | 0.570652i | \(0.193309\pi\) | ||||
−0.821192 | + | 0.570652i | \(0.806691\pi\) | |||||||
\(884\) | 0.941203 | − | 0.0677825i | 0.0316561 | − | 0.00227977i | ||||
\(885\) | 4.64455 | + | 0.346015i | 0.156125 | + | 0.0116312i | ||||
\(886\) | −5.74263 | + | 21.4318i | −0.192927 | + | 0.720015i | ||||
\(887\) | 42.8082i | 1.43736i | 0.695341 | + | 0.718680i | \(0.255253\pi\) | ||||
−0.695341 | + | 0.718680i | \(0.744747\pi\) | |||||||
\(888\) | −8.37362 | + | 12.2934i | −0.281000 | + | 0.412540i | ||||
\(889\) | −12.5126 | − | 19.1897i | −0.419658 | − | 0.643600i | ||||
\(890\) | −0.762770 | − | 0.204384i | −0.0255681 | − | 0.00685095i | ||||
\(891\) | 24.0240 | + | 45.2635i | 0.804835 | + | 1.51638i | ||||
\(892\) | −7.60147 | − | 28.3691i | −0.254516 | − | 0.949867i | ||||
\(893\) | − | 13.3475i | − | 0.446659i | ||||||
\(894\) | 30.7811 | − | 14.8400i | 1.02947 | − | 0.496325i | ||||
\(895\) | 2.37785 | + | 8.87425i | 0.0794827 | + | 0.296633i | ||||
\(896\) | −0.822248 | − | 2.51474i | −0.0274694 | − | 0.0840115i | ||||
\(897\) | 22.0852 | + | 12.8237i | 0.737404 | + | 0.428171i | ||||
\(898\) | −5.85494 | − | 10.1410i | −0.195382 | − | 0.338411i | ||||
\(899\) | −20.2435 | − | 5.42424i | −0.675160 | − | 0.180909i | ||||
\(900\) | 14.2243 | + | 2.13123i | 0.474145 | + | 0.0710410i | ||||
\(901\) | −0.823221 | − | 0.475287i | −0.0274255 | − | 0.0158341i | ||||
\(902\) | −24.3752 | + | 24.3752i | −0.811604 | + | 0.811604i | ||||
\(903\) | −3.28367 | + | 5.43175i | −0.109274 | + | 0.180757i | ||||
\(904\) | 3.66295 | + | 0.981484i | 0.121828 | + | 0.0326437i | ||||
\(905\) | −0.879439 | + | 3.28211i | −0.0292335 | + | 0.109101i | ||||
\(906\) | −3.06492 | + | 1.47764i | −0.101825 | + | 0.0490914i | ||||
\(907\) | −24.6753 | + | 14.2463i | −0.819331 | + | 0.473041i | −0.850186 | − | 0.526483i | \(-0.823510\pi\) |
0.0308547 | + | 0.999524i | \(0.490177\pi\) | |||||||
\(908\) | −3.58283 | − | 3.58283i | −0.118900 | − | 0.118900i | ||||
\(909\) | −29.7618 | + | 37.3872i | −0.987136 | + | 1.24006i | ||||
\(910\) | −0.544065 | − | 4.29140i | −0.0180356 | − | 0.142259i | ||||
\(911\) | 11.8596i | 0.392927i | 0.980511 | + | 0.196464i | \(0.0629458\pi\) | ||||
−0.980511 | + | 0.196464i | \(0.937054\pi\) | |||||||
\(912\) | 0.812597 | − | 2.32554i | 0.0269078 | − | 0.0770062i | ||||
\(913\) | 0.383516 | + | 0.664270i | 0.0126925 | + | 0.0219841i | ||||
\(914\) | 1.30460 | 0.0431523 | ||||||||
\(915\) | 1.39693 | + | 7.36527i | 0.0461810 | + | 0.243488i | ||||
\(916\) | 0.640022 | − | 2.38859i | 0.0211469 | − | 0.0789213i | ||||
\(917\) | 37.6457 | − | 2.04295i | 1.24317 | − | 0.0674642i | ||||
\(918\) | 1.15053 | − | 0.725040i | 0.0379733 | − | 0.0239299i | ||||
\(919\) | −1.60787 | + | 2.78491i | −0.0530387 | + | 0.0918657i | −0.891326 | − | 0.453363i | \(-0.850224\pi\) |
0.838287 | + | 0.545229i | \(0.183557\pi\) | |||||||
\(920\) | −0.927194 | − | 1.60595i | −0.0305687 | − | 0.0529465i | ||||
\(921\) | −10.5460 | − | 55.6034i | −0.347501 | − | 1.83219i | ||||
\(922\) | 30.1944 | − | 17.4328i | 0.994400 | − | 0.574117i | ||||
\(923\) | −4.12288 | + | 21.4484i | −0.135706 | + | 0.705982i | ||||
\(924\) | 25.3340 | − | 6.24403i | 0.833426 | − | 0.205414i | ||||
\(925\) | −39.7697 | + | 10.6562i | −1.30762 | + | 0.350375i | ||||
\(926\) | − | 22.2949i | − | 0.732657i | ||||||
\(927\) | −32.9024 | − | 26.1917i | −1.08066 | − | 0.860248i | ||||
\(928\) | 5.06936 | − | 1.35833i | 0.166410 | − | 0.0445894i | ||||
\(929\) | −0.177628 | − | 0.662917i | −0.00582779 | − | 0.0217496i | 0.962951 | − | 0.269677i | \(-0.0869171\pi\) |
−0.968779 | + | 0.247928i | \(0.920250\pi\) | |||||||
\(930\) | −0.584448 | − | 3.08149i | −0.0191648 | − | 0.101046i | ||||
\(931\) | 7.76029 | + | 6.23664i | 0.254333 | + | 0.204398i | ||||
\(932\) | 14.1402 | − | 8.16384i | 0.463177 | − | 0.267415i | ||||
\(933\) | −16.1773 | − | 33.5549i | −0.529621 | − | 1.09854i | ||||
\(934\) | 16.1937 | + | 4.33909i | 0.529874 | + | 0.141979i | ||||
\(935\) | 0.337867 | − | 0.585202i | 0.0110494 | − | 0.0191382i | ||||
\(936\) | −10.2024 | − | 3.59324i | −0.333475 | − | 0.117449i | ||||
\(937\) | 4.02803 | 0.131590 | 0.0657949 | − | 0.997833i | \(-0.479042\pi\) | ||||
0.0657949 | + | 0.997833i | \(0.479042\pi\) | |||||||
\(938\) | −0.236325 | − | 4.35479i | −0.00771630 | − | 0.142189i | ||||
\(939\) | 11.1288 | + | 0.829088i | 0.363176 | + | 0.0270563i | ||||
\(940\) | 3.68549 | + | 2.12782i | 0.120207 | + | 0.0694018i | ||||
\(941\) | −8.67568 | − | 32.3781i | −0.282819 | − | 1.05550i | −0.950418 | − | 0.310974i | \(-0.899345\pi\) |
0.667599 | − | 0.744521i | \(-0.267322\pi\) | |||||||
\(942\) | 25.9569 | + | 9.06995i | 0.845721 | + | 0.295515i | ||||
\(943\) | 6.40795 | + | 23.9148i | 0.208671 | + | 0.778772i | ||||
\(944\) | −4.19304 | − | 4.19304i | −0.136472 | − | 0.136472i | ||||
\(945\) | −3.60458 | − | 5.08632i | −0.117257 | − | 0.165458i | ||||
\(946\) | 6.82966 | + | 3.94311i | 0.222052 | + | 0.128202i | ||||
\(947\) | 0.539541 | + | 0.539541i | 0.0175327 | + | 0.0175327i | 0.715819 | − | 0.698286i | \(-0.246054\pi\) |
−0.698286 | + | 0.715819i | \(0.746054\pi\) | |||||||
\(948\) | 2.15794 | − | 28.9660i | 0.0700866 | − | 0.940772i | ||||
\(949\) | 33.4614 | − | 11.5996i | 1.08620 | − | 0.376538i | ||||
\(950\) | 5.90528 | − | 3.40941i | 0.191592 | − | 0.110616i | ||||
\(951\) | −14.7226 | + | 12.6811i | −0.477415 | + | 0.411213i | ||||
\(952\) | −0.215198 | − | 0.658154i | −0.00697460 | − | 0.0213309i | ||||
\(953\) | 21.5625 | + | 37.3474i | 0.698479 | + | 1.20980i | 0.968994 | + | 0.247086i | \(0.0794729\pi\) |
−0.270514 | + | 0.962716i | \(0.587194\pi\) | |||||||
\(954\) | 6.47802 | + | 8.76132i | 0.209734 | + | 0.283658i | ||||
\(955\) | −2.81530 | − | 2.81530i | −0.0911009 | − | 0.0911009i | ||||
\(956\) | 7.48384 | + | 7.48384i | 0.242045 | + | 0.242045i | ||||
\(957\) | 9.64452 | + | 50.8505i | 0.311763 | + | 1.64376i | ||||
\(958\) | −11.9627 | − | 20.7200i | −0.386497 | − | 0.669432i | ||||
\(959\) | 2.99774 | + | 9.16819i | 0.0968020 | + | 0.296056i | ||||
\(960\) | 0.512580 | + | 0.595101i | 0.0165434 | + | 0.0192068i | ||||
\(961\) | −13.0367 | + | 7.52674i | −0.420538 | + | 0.242798i | ||||
\(962\) | 30.8834 | − | 2.22412i | 0.995720 | − | 0.0717086i | ||||
\(963\) | −42.5122 | + | 16.7278i | −1.36994 | + | 0.539046i | ||||
\(964\) | 4.03869 | + | 4.03869i | 0.130077 | + | 0.130077i | ||||
\(965\) | −4.94564 | − | 2.85537i | −0.159206 | − | 0.0919176i | ||||
\(966\) | 5.21394 | − | 18.0000i | 0.167756 | − | 0.579142i | ||||
\(967\) | −17.8213 | − | 17.8213i | −0.573093 | − | 0.573093i | 0.359898 | − | 0.932992i | \(-0.382811\pi\) |
−0.932992 | + | 0.359898i | \(0.882811\pi\) | |||||||
\(968\) | −5.54363 | − | 20.6891i | −0.178179 | − | 0.664973i | ||||
\(969\) | 0.212672 | − | 0.608637i | 0.00683201 | − | 0.0195522i | ||||
\(970\) | −0.208092 | − | 0.776611i | −0.00668144 | − | 0.0249355i | ||||
\(971\) | −11.7375 | − | 6.77668i | −0.376676 | − | 0.217474i | 0.299695 | − | 0.954035i | \(-0.403115\pi\) |
−0.676371 | + | 0.736561i | \(0.736448\pi\) | |||||||
\(972\) | −15.4092 | + | 2.35710i | −0.494251 | + | 0.0756040i | ||||
\(973\) | 1.56615 | + | 28.8596i | 0.0502083 | + | 0.925195i | ||||
\(974\) | −16.4211 | −0.526167 | ||||||||
\(975\) | −14.9064 | − | 25.9664i | −0.477385 | − | 0.831591i | ||||
\(976\) | 4.77234 | − | 8.26593i | 0.152759 | − | 0.264586i | ||||
\(977\) | 43.7132 | + | 11.7129i | 1.39851 | + | 0.374729i | 0.877809 | − | 0.479010i | \(-0.159004\pi\) |
0.520700 | + | 0.853740i | \(0.325671\pi\) | |||||||
\(978\) | 16.2822 | − | 7.84990i | 0.520649 | − | 0.251012i | ||||
\(979\) | −8.58695 | + | 4.95768i | −0.274440 | + | 0.158448i | ||||
\(980\) | −2.95916 | + | 1.14853i | −0.0945270 | + | 0.0366884i | ||||
\(981\) | −10.8067 | − | 14.6158i | −0.345033 | − | 0.466646i | ||||
\(982\) | 9.45552 | + | 35.2885i | 0.301738 | + | 1.12610i | ||||
\(983\) | 16.5406 | − | 4.43205i | 0.527564 | − | 0.141360i | 0.0148011 | − | 0.999890i | \(-0.495288\pi\) |
0.512763 | + | 0.858530i | \(0.328622\pi\) | |||||||
\(984\) | −4.55399 | − | 9.44587i | −0.145176 | − | 0.301123i | ||||
\(985\) | − | 6.23050i | − | 0.198520i | ||||||
\(986\) | 1.32675 | − | 0.355501i | 0.0422523 | − | 0.0113215i | ||||
\(987\) | 10.2918 | + | 41.7568i | 0.327590 | + | 1.32913i | ||||
\(988\) | −4.84515 | + | 1.67960i | −0.154145 | + | 0.0534351i | ||||
\(989\) | 4.90523 | − | 2.83204i | 0.155977 | − | 0.0900535i | ||||
\(990\) | −6.22816 | + | 4.60502i | −0.197944 | + | 0.146357i | ||||
\(991\) | 16.9016 | + | 29.2744i | 0.536896 | + | 0.929931i | 0.999069 | + | 0.0431410i | \(0.0137365\pi\) |
−0.462173 | + | 0.886790i | \(0.652930\pi\) | |||||||
\(992\) | −1.99665 | + | 3.45831i | −0.0633939 | + | 0.109801i | ||||
\(993\) | −5.86429 | + | 16.7828i | −0.186098 | + | 0.532585i | ||||
\(994\) | 16.0034 | − | 0.868471i | 0.507597 | − | 0.0275462i | ||||
\(995\) | 2.13969 | − | 7.98545i | 0.0678329 | − | 0.253156i | ||||
\(996\) | −0.229246 | + | 0.0434796i | −0.00726392 | + | 0.00137771i | ||||
\(997\) | 21.0590 | 0.666946 | 0.333473 | − | 0.942760i | \(-0.391779\pi\) | ||||
0.333473 | + | 0.942760i | \(0.391779\pi\) | |||||||
\(998\) | −4.23485 | − | 7.33497i | −0.134052 | − | 0.232185i | ||||
\(999\) | 37.7521 | − | 23.7905i | 1.19442 | − | 0.752698i |
(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 | 546.2.ch.a.137.6 | yes | 152 | |
3.2 | odd | 2 | inner | 546.2.ch.a.137.38 | yes | 152 | |
7.2 | even | 3 | 546.2.bw.a.527.26 | yes | 152 | ||
13.2 | odd | 12 | 546.2.bw.a.431.7 | ✓ | 152 | ||
21.2 | odd | 6 | 546.2.bw.a.527.7 | yes | 152 | ||
39.2 | even | 12 | 546.2.bw.a.431.26 | yes | 152 | ||
91.2 | odd | 12 | inner | 546.2.ch.a.275.38 | yes | 152 | |
273.2 | even | 12 | inner | 546.2.ch.a.275.6 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bw.a.431.7 | ✓ | 152 | 13.2 | odd | 12 | ||
546.2.bw.a.431.26 | yes | 152 | 39.2 | even | 12 | ||
546.2.bw.a.527.7 | yes | 152 | 21.2 | odd | 6 | ||
546.2.bw.a.527.26 | yes | 152 | 7.2 | even | 3 | ||
546.2.ch.a.137.6 | yes | 152 | 1.1 | even | 1 | trivial | |
546.2.ch.a.137.38 | yes | 152 | 3.2 | odd | 2 | inner | |
546.2.ch.a.275.6 | yes | 152 | 273.2 | even | 12 | inner | |
546.2.ch.a.275.38 | yes | 152 | 91.2 | odd | 12 | inner |