Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,4,Mod(8,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([12]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.8");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.e (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.89109359028\) |
Analytic rank: | \(0\) |
Dimension: | \(78\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 43.8 | ||
Character | \(\chi\) | \(=\) | 49.43 |
Dual form | 49.4.e.a.8.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.521845 | − | 0.654373i | 0.184500 | − | 0.231356i | −0.680976 | − | 0.732305i | \(-0.738444\pi\) |
0.865476 | + | 0.500950i | \(0.167016\pi\) | |||||||
\(3\) | 5.78023 | + | 2.78361i | 1.11241 | + | 0.535707i | 0.897538 | − | 0.440937i | \(-0.145354\pi\) |
0.214868 | + | 0.976643i | \(0.431068\pi\) | |||||||
\(4\) | 1.62429 | + | 7.11646i | 0.203036 | + | 0.889558i | ||||
\(5\) | −1.28950 | − | 0.620991i | −0.115336 | − | 0.0555431i | 0.375326 | − | 0.926893i | \(-0.377531\pi\) |
−0.490662 | + | 0.871350i | \(0.663245\pi\) | |||||||
\(6\) | 4.83790 | − | 2.32981i | 0.329178 | − | 0.158524i | ||||
\(7\) | −17.3557 | + | 6.46381i | −0.937118 | + | 0.349013i | ||||
\(8\) | 11.5371 | + | 5.55599i | 0.509874 | + | 0.245543i | ||||
\(9\) | 8.82835 | + | 11.0704i | 0.326976 | + | 0.410015i | ||||
\(10\) | −1.07928 | + | 0.519753i | −0.0341298 | + | 0.0164360i | ||||
\(11\) | 33.8930 | − | 42.5005i | 0.929012 | − | 1.16494i | −0.0570176 | − | 0.998373i | \(-0.518159\pi\) |
0.986029 | − | 0.166571i | \(-0.0532694\pi\) | |||||||
\(12\) | −10.4207 | + | 45.6562i | −0.250684 | + | 1.09832i | ||||
\(13\) | 41.8811 | − | 52.5173i | 0.893518 | − | 1.12044i | −0.0985995 | − | 0.995127i | \(-0.531436\pi\) |
0.992118 | − | 0.125309i | \(-0.0399923\pi\) | |||||||
\(14\) | −4.82722 | + | 14.7302i | −0.0921520 | + | 0.281200i | ||||
\(15\) | −5.72501 | − | 7.17894i | −0.0985461 | − | 0.123573i | ||||
\(16\) | −42.9565 | + | 20.6868i | −0.671195 | + | 0.323231i | ||||
\(17\) | −4.21013 | + | 18.4458i | −0.0600651 | + | 0.263163i | −0.996040 | − | 0.0889037i | \(-0.971664\pi\) |
0.935975 | + | 0.352066i | \(0.114521\pi\) | |||||||
\(18\) | 11.8512 | 0.155186 | ||||||||
\(19\) | −58.6213 | −0.707823 | −0.353912 | − | 0.935279i | \(-0.615149\pi\) | ||||
−0.353912 | + | 0.935279i | \(0.615149\pi\) | |||||||
\(20\) | 2.32474 | − | 10.1853i | 0.0259914 | − | 0.113876i | ||||
\(21\) | −118.313 | − | 10.9491i | −1.22942 | − | 0.113776i | ||||
\(22\) | −10.1243 | − | 44.3573i | −0.0981137 | − | 0.429864i | ||||
\(23\) | −4.27322 | − | 18.7222i | −0.0387403 | − | 0.169732i | 0.951857 | − | 0.306542i | \(-0.0991722\pi\) |
−0.990597 | + | 0.136810i | \(0.956315\pi\) | |||||||
\(24\) | 51.2216 | + | 64.2299i | 0.435649 | + | 0.546286i | ||||
\(25\) | −76.6590 | − | 96.1274i | −0.613272 | − | 0.769019i | ||||
\(26\) | −12.5104 | − | 54.8117i | −0.0943652 | − | 0.413441i | ||||
\(27\) | −18.3310 | − | 80.3133i | −0.130659 | − | 0.572455i | ||||
\(28\) | −74.1900 | − | 113.012i | −0.500736 | − | 0.762758i | ||||
\(29\) | −50.8862 | + | 222.947i | −0.325839 | + | 1.42759i | 0.501142 | + | 0.865365i | \(0.332913\pi\) |
−0.826981 | + | 0.562229i | \(0.809944\pi\) | |||||||
\(30\) | −7.68527 | −0.0467711 | ||||||||
\(31\) | 165.221 | 0.957244 | 0.478622 | − | 0.878021i | \(-0.341136\pi\) | ||||
0.478622 | + | 0.878021i | \(0.341136\pi\) | |||||||
\(32\) | −31.6753 | + | 138.778i | −0.174983 | + | 0.766650i | ||||
\(33\) | 314.214 | − | 151.318i | 1.65751 | − | 0.798213i | ||||
\(34\) | 9.87339 | + | 12.3808i | 0.0498021 | + | 0.0624499i | ||||
\(35\) | 26.3941 | + | 2.44262i | 0.127469 | + | 0.0117965i | ||||
\(36\) | −64.4423 | + | 80.8081i | −0.298344 | + | 0.374112i | ||||
\(37\) | −53.1486 | + | 232.859i | −0.236151 | + | 1.03464i | 0.708280 | + | 0.705932i | \(0.249472\pi\) |
−0.944430 | + | 0.328711i | \(0.893386\pi\) | |||||||
\(38\) | −30.5912 | + | 38.3601i | −0.130593 | + | 0.163759i | ||||
\(39\) | 388.270 | − | 186.981i | 1.59418 | − | 0.767717i | ||||
\(40\) | −11.4269 | − | 14.3289i | −0.0451689 | − | 0.0566400i | ||||
\(41\) | −174.801 | − | 84.1798i | −0.665838 | − | 0.320651i | 0.0702570 | − | 0.997529i | \(-0.477618\pi\) |
−0.736095 | + | 0.676878i | \(0.763332\pi\) | |||||||
\(42\) | −68.9056 | + | 71.7067i | −0.253151 | + | 0.263443i | ||||
\(43\) | −206.174 | + | 99.2879i | −0.731190 | + | 0.352123i | −0.762152 | − | 0.647398i | \(-0.775857\pi\) |
0.0309621 | + | 0.999521i | \(0.490143\pi\) | |||||||
\(44\) | 357.505 | + | 172.165i | 1.22491 | + | 0.589884i | ||||
\(45\) | −4.50955 | − | 19.7576i | −0.0149387 | − | 0.0654509i | ||||
\(46\) | −14.4812 | − | 6.97380i | −0.0464161 | − | 0.0223528i | ||||
\(47\) | 153.504 | − | 192.488i | 0.476402 | − | 0.597389i | −0.484324 | − | 0.874889i | \(-0.660934\pi\) |
0.960726 | + | 0.277500i | \(0.0895059\pi\) | |||||||
\(48\) | −305.882 | −0.919799 | ||||||||
\(49\) | 259.438 | − | 224.368i | 0.756380 | − | 0.654133i | ||||
\(50\) | −102.907 | −0.291066 | ||||||||
\(51\) | −75.6815 | + | 94.9016i | −0.207795 | + | 0.260566i | ||||
\(52\) | 441.764 | + | 212.742i | 1.17811 | + | 0.567347i | ||||
\(53\) | 118.302 | + | 518.313i | 0.306603 | + | 1.34332i | 0.859955 | + | 0.510370i | \(0.170491\pi\) |
−0.553352 | + | 0.832948i | \(0.686651\pi\) | |||||||
\(54\) | −62.1207 | − | 29.9158i | −0.156547 | − | 0.0753893i | ||||
\(55\) | −70.0975 | + | 33.7572i | −0.171854 | + | 0.0827603i | ||||
\(56\) | −236.148 | − | 21.8540i | −0.563510 | − | 0.0521495i | ||||
\(57\) | −338.844 | − | 163.179i | −0.787387 | − | 0.379185i | ||||
\(58\) | 119.336 | + | 149.642i | 0.270165 | + | 0.338776i | ||||
\(59\) | −150.933 | + | 72.6854i | −0.333047 | + | 0.160387i | −0.592932 | − | 0.805253i | \(-0.702030\pi\) |
0.259885 | + | 0.965640i | \(0.416315\pi\) | |||||||
\(60\) | 41.7896 | − | 52.4025i | 0.0899169 | − | 0.112752i | ||||
\(61\) | 100.825 | − | 441.743i | 0.211628 | − | 0.927203i | −0.751833 | − | 0.659354i | \(-0.770830\pi\) |
0.963461 | − | 0.267849i | \(-0.0863129\pi\) | |||||||
\(62\) | 86.2197 | − | 108.116i | 0.176612 | − | 0.221464i | ||||
\(63\) | −224.779 | − | 135.069i | −0.449516 | − | 0.270113i | ||||
\(64\) | −163.531 | − | 205.062i | −0.319397 | − | 0.400511i | ||||
\(65\) | −86.6185 | + | 41.7133i | −0.165288 | + | 0.0795984i | ||||
\(66\) | 64.9530 | − | 284.578i | 0.121139 | − | 0.530744i | ||||
\(67\) | 153.689 | 0.280239 | 0.140120 | − | 0.990135i | \(-0.455251\pi\) | ||||
0.140120 | + | 0.990135i | \(0.455251\pi\) | |||||||
\(68\) | −138.107 | −0.246294 | ||||||||
\(69\) | 27.4151 | − | 120.114i | 0.0478318 | − | 0.209565i | ||||
\(70\) | 15.3720 | − | 15.9969i | 0.0262472 | − | 0.0273142i | ||||
\(71\) | 137.788 | + | 603.690i | 0.230316 | + | 1.00908i | 0.949378 | + | 0.314135i | \(0.101715\pi\) |
−0.719062 | + | 0.694946i | \(0.755428\pi\) | |||||||
\(72\) | 40.3468 | + | 176.771i | 0.0660406 | + | 0.289343i | ||||
\(73\) | −247.285 | − | 310.085i | −0.396473 | − | 0.497161i | 0.543025 | − | 0.839717i | \(-0.317279\pi\) |
−0.939498 | + | 0.342556i | \(0.888707\pi\) | |||||||
\(74\) | 124.641 | + | 156.295i | 0.195801 | + | 0.245526i | ||||
\(75\) | −175.526 | − | 769.028i | −0.270239 | − | 1.18400i | ||||
\(76\) | −95.2177 | − | 417.176i | −0.143713 | − | 0.629650i | ||||
\(77\) | −313.521 | + | 956.703i | −0.464013 | + | 1.41593i | ||||
\(78\) | 80.2615 | − | 351.649i | 0.116511 | − | 0.510466i | ||||
\(79\) | −981.604 | −1.39796 | −0.698982 | − | 0.715139i | \(-0.746363\pi\) | ||||
−0.698982 | + | 0.715139i | \(0.746363\pi\) | |||||||
\(80\) | 68.2387 | 0.0953665 | ||||||||
\(81\) | 202.675 | − | 887.979i | 0.278018 | − | 1.21808i | ||||
\(82\) | −146.304 | + | 70.4563i | −0.197031 | + | 0.0948853i | ||||
\(83\) | −258.066 | − | 323.604i | −0.341282 | − | 0.427954i | 0.581339 | − | 0.813661i | \(-0.302529\pi\) |
−0.922621 | + | 0.385707i | \(0.873957\pi\) | |||||||
\(84\) | −114.254 | − | 859.751i | −0.148407 | − | 1.11674i | ||||
\(85\) | 16.8836 | − | 21.1714i | 0.0215446 | − | 0.0270160i | ||||
\(86\) | −42.6193 | + | 186.727i | −0.0534390 | + | 0.234132i | ||||
\(87\) | −914.732 | + | 1147.04i | −1.12724 | + | 1.41351i | ||||
\(88\) | 627.161 | − | 302.025i | 0.759723 | − | 0.365863i | ||||
\(89\) | 833.012 | + | 1044.56i | 0.992125 | + | 1.24409i | 0.969690 | + | 0.244337i | \(0.0785704\pi\) |
0.0224347 | + | 0.999748i | \(0.492858\pi\) | |||||||
\(90\) | −15.2821 | − | 7.35948i | −0.0178986 | − | 0.00861953i | ||||
\(91\) | −387.413 | + | 1182.18i | −0.446285 | + | 1.36183i | ||||
\(92\) | 126.295 | − | 60.8204i | 0.143121 | − | 0.0689235i | ||||
\(93\) | 955.016 | + | 459.911i | 1.06484 | + | 0.512802i | ||||
\(94\) | −45.8536 | − | 200.898i | −0.0503132 | − | 0.220436i | ||||
\(95\) | 75.5921 | + | 36.4033i | 0.0816378 | + | 0.0393147i | ||||
\(96\) | −569.396 | + | 714.000i | −0.605352 | + | 0.759087i | ||||
\(97\) | 1061.38 | 1.11100 | 0.555501 | − | 0.831516i | \(-0.312527\pi\) | ||||
0.555501 | + | 0.831516i | \(0.312527\pi\) | |||||||
\(98\) | −11.4335 | − | 286.854i | −0.0117853 | − | 0.295680i | ||||
\(99\) | 769.717 | 0.781409 | ||||||||
\(100\) | 559.571 | − | 701.680i | 0.559571 | − | 0.701680i | ||||
\(101\) | 1790.60 | + | 862.309i | 1.76408 | + | 0.849534i | 0.970514 | + | 0.241043i | \(0.0774895\pi\) |
0.793561 | + | 0.608491i | \(0.208225\pi\) | |||||||
\(102\) | 22.6070 | + | 99.0478i | 0.0219454 | + | 0.0961490i | ||||
\(103\) | −842.671 | − | 405.809i | −0.806125 | − | 0.388209i | −0.0150180 | − | 0.999887i | \(-0.504781\pi\) |
−0.791107 | + | 0.611678i | \(0.790495\pi\) | |||||||
\(104\) | 774.974 | − | 373.208i | 0.730697 | − | 0.351885i | ||||
\(105\) | 145.765 | + | 87.5899i | 0.135478 | + | 0.0814085i | ||||
\(106\) | 400.905 | + | 193.066i | 0.367352 | + | 0.176908i | ||||
\(107\) | −790.337 | − | 991.051i | −0.714063 | − | 0.895406i | 0.283923 | − | 0.958847i | \(-0.408364\pi\) |
−0.997986 | + | 0.0634407i | \(0.979793\pi\) | |||||||
\(108\) | 541.772 | − | 260.903i | 0.482704 | − | 0.232458i | ||||
\(109\) | −447.179 | + | 560.745i | −0.392954 | + | 0.492749i | −0.938474 | − | 0.345349i | \(-0.887761\pi\) |
0.545520 | + | 0.838098i | \(0.316332\pi\) | |||||||
\(110\) | −14.4902 | + | 63.4859i | −0.0125599 | + | 0.0550286i | ||||
\(111\) | −955.401 | + | 1198.03i | −0.816961 | + | 1.02444i | ||||
\(112\) | 611.823 | − | 636.695i | 0.516177 | − | 0.537161i | ||||
\(113\) | 249.253 | + | 312.553i | 0.207502 | + | 0.260200i | 0.874682 | − | 0.484697i | \(-0.161070\pi\) |
−0.667180 | + | 0.744897i | \(0.732499\pi\) | |||||||
\(114\) | −283.604 | + | 136.576i | −0.233000 | + | 0.112207i | ||||
\(115\) | −6.11599 | + | 26.7959i | −0.00495930 | + | 0.0217281i | ||||
\(116\) | −1669.25 | −1.33608 | ||||||||
\(117\) | 951.129 | 0.751555 | ||||||||
\(118\) | −31.2001 | + | 136.697i | −0.0243407 | + | 0.106644i | ||||
\(119\) | −46.1606 | − | 347.353i | −0.0355591 | − | 0.267578i | ||||
\(120\) | −26.1641 | − | 114.633i | −0.0199037 | − | 0.0872040i | ||||
\(121\) | −361.381 | − | 1583.31i | −0.271511 | − | 1.18957i | ||||
\(122\) | −236.449 | − | 296.498i | −0.175468 | − | 0.220030i | ||||
\(123\) | −776.067 | − | 973.158i | −0.568908 | − | 0.713388i | ||||
\(124\) | 268.366 | + | 1175.79i | 0.194355 | + | 0.851524i | ||||
\(125\) | 78.9677 | + | 345.980i | 0.0565047 | + | 0.247563i | ||||
\(126\) | −205.685 | + | 76.6039i | −0.145428 | + | 0.0541621i | ||||
\(127\) | 41.7539 | − | 182.936i | 0.0291737 | − | 0.127818i | −0.958244 | − | 0.285952i | \(-0.907690\pi\) |
0.987418 | + | 0.158133i | \(0.0505475\pi\) | |||||||
\(128\) | −1358.30 | −0.937955 | ||||||||
\(129\) | −1468.11 | −1.00201 | ||||||||
\(130\) | −17.9054 | + | 78.4486i | −0.0120800 | + | 0.0529261i | ||||
\(131\) | −426.891 | + | 205.580i | −0.284715 | + | 0.137111i | −0.570791 | − | 0.821095i | \(-0.693363\pi\) |
0.286076 | + | 0.958207i | \(0.407649\pi\) | |||||||
\(132\) | 1587.22 | + | 1990.31i | 1.04659 | + | 1.31238i | ||||
\(133\) | 1017.41 | − | 378.917i | 0.663314 | − | 0.247040i | ||||
\(134\) | 80.2016 | − | 100.570i | 0.0517042 | − | 0.0648350i | ||||
\(135\) | −26.2360 | + | 114.947i | −0.0167262 | + | 0.0732822i | ||||
\(136\) | −151.058 | + | 189.420i | −0.0952433 | + | 0.119431i | ||||
\(137\) | −468.430 | + | 225.584i | −0.292122 | + | 0.140679i | −0.574205 | − | 0.818711i | \(-0.694689\pi\) |
0.282083 | + | 0.959390i | \(0.408975\pi\) | |||||||
\(138\) | −64.2926 | − | 80.6203i | −0.0396590 | − | 0.0497309i | ||||
\(139\) | −1733.93 | − | 835.018i | −1.05806 | − | 0.509535i | −0.177820 | − | 0.984063i | \(-0.556904\pi\) |
−0.880240 | + | 0.474528i | \(0.842619\pi\) | |||||||
\(140\) | 25.4888 | + | 191.800i | 0.0153871 | + | 0.115786i | ||||
\(141\) | 1423.10 | − | 685.329i | 0.849977 | − | 0.409327i | ||||
\(142\) | 466.942 | + | 224.867i | 0.275950 | + | 0.132891i | ||||
\(143\) | −812.533 | − | 3559.94i | −0.475157 | − | 2.08180i | ||||
\(144\) | −608.246 | − | 292.916i | −0.351994 | − | 0.169511i | ||||
\(145\) | 204.066 | − | 255.890i | 0.116874 | − | 0.146555i | ||||
\(146\) | −331.956 | −0.188170 | ||||||||
\(147\) | 2124.17 | − | 574.721i | 1.19182 | − | 0.322464i | ||||
\(148\) | −1743.46 | −0.968322 | ||||||||
\(149\) | 2044.84 | − | 2564.15i | 1.12429 | − | 1.40982i | 0.223973 | − | 0.974595i | \(-0.428097\pi\) |
0.900322 | − | 0.435225i | \(-0.143331\pi\) | |||||||
\(150\) | −594.828 | − | 286.454i | −0.323783 | − | 0.155926i | ||||
\(151\) | 486.589 | + | 2131.89i | 0.262239 | + | 1.14894i | 0.918817 | + | 0.394685i | \(0.129146\pi\) |
−0.656578 | + | 0.754258i | \(0.727997\pi\) | |||||||
\(152\) | −676.322 | − | 325.699i | −0.360901 | − | 0.173801i | ||||
\(153\) | −241.371 | + | 116.238i | −0.127540 | + | 0.0614202i | ||||
\(154\) | 462.431 | + | 704.410i | 0.241972 | + | 0.368591i | ||||
\(155\) | −213.053 | − | 102.601i | −0.110405 | − | 0.0531683i | ||||
\(156\) | 1961.31 | + | 2459.40i | 1.00660 | + | 1.26224i | ||||
\(157\) | −1798.65 | + | 866.185i | −0.914318 | + | 0.440313i | −0.831039 | − | 0.556214i | \(-0.812254\pi\) |
−0.0832791 | + | 0.996526i | \(0.526539\pi\) | |||||||
\(158\) | −512.245 | + | 642.335i | −0.257924 | + | 0.323427i | ||||
\(159\) | −758.973 | + | 3325.28i | −0.378556 | + | 1.65856i | ||||
\(160\) | 127.025 | − | 159.285i | 0.0627640 | − | 0.0787036i | ||||
\(161\) | 195.181 | + | 297.315i | 0.0955431 | + | 0.145538i | ||||
\(162\) | −475.304 | − | 596.012i | −0.230515 | − | 0.289056i | ||||
\(163\) | −233.613 | + | 112.502i | −0.112258 | + | 0.0540604i | −0.489170 | − | 0.872189i | \(-0.662700\pi\) |
0.376912 | + | 0.926249i | \(0.376986\pi\) | |||||||
\(164\) | 315.135 | − | 1380.70i | 0.150048 | − | 0.657405i | ||||
\(165\) | −499.147 | −0.235506 | ||||||||
\(166\) | −346.428 | −0.161976 | ||||||||
\(167\) | 125.964 | − | 551.883i | 0.0583674 | − | 0.255724i | −0.937323 | − | 0.348461i | \(-0.886704\pi\) |
0.995691 | + | 0.0927367i | \(0.0295615\pi\) | |||||||
\(168\) | −1304.16 | − | 783.665i | −0.598915 | − | 0.359887i | ||||
\(169\) | −515.157 | − | 2257.05i | −0.234482 | − | 1.02733i | ||||
\(170\) | −5.04335 | − | 22.0964i | −0.00227534 | − | 0.00996891i | ||||
\(171\) | −517.529 | − | 648.961i | −0.231441 | − | 0.290218i | ||||
\(172\) | −1041.46 | − | 1305.95i | −0.461691 | − | 0.578942i | ||||
\(173\) | −751.152 | − | 3291.01i | −0.330110 | − | 1.44631i | −0.818916 | − | 0.573914i | \(-0.805424\pi\) |
0.488806 | − | 0.872393i | \(-0.337433\pi\) | |||||||
\(174\) | 273.242 | + | 1197.15i | 0.119048 | + | 0.521585i | ||||
\(175\) | 1951.82 | + | 1172.85i | 0.843106 | + | 0.506621i | ||||
\(176\) | −576.728 | + | 2526.81i | −0.247003 | + | 1.08219i | ||||
\(177\) | −1074.75 | −0.456404 | ||||||||
\(178\) | 1118.24 | 0.470873 | ||||||||
\(179\) | −609.189 | + | 2669.03i | −0.254374 | + | 1.11449i | 0.672791 | + | 0.739832i | \(0.265095\pi\) |
−0.927165 | + | 0.374653i | \(0.877762\pi\) | |||||||
\(180\) | 133.280 | − | 64.1840i | 0.0551893 | − | 0.0265777i | ||||
\(181\) | 2149.24 | + | 2695.06i | 0.882607 | + | 1.10675i | 0.993603 | + | 0.112933i | \(0.0360246\pi\) |
−0.110996 | + | 0.993821i | \(0.535404\pi\) | |||||||
\(182\) | 571.420 | + | 870.429i | 0.232728 | + | 0.354508i | ||||
\(183\) | 1812.43 | − | 2272.72i | 0.732125 | − | 0.918056i | ||||
\(184\) | 54.7197 | − | 239.743i | 0.0219238 | − | 0.0960546i | ||||
\(185\) | 213.138 | − | 267.267i | 0.0847041 | − | 0.106216i | ||||
\(186\) | 799.323 | − | 384.934i | 0.315103 | − | 0.151746i | ||||
\(187\) | 641.262 | + | 804.117i | 0.250768 | + | 0.314454i | ||||
\(188\) | 1619.17 | + | 779.750i | 0.628138 | + | 0.302495i | ||||
\(189\) | 837.276 | + | 1275.40i | 0.322238 | + | 0.490856i | ||||
\(190\) | 63.2687 | − | 30.4686i | 0.0241578 | − | 0.0116338i | ||||
\(191\) | 1298.60 | + | 625.375i | 0.491957 | + | 0.236914i | 0.663379 | − | 0.748284i | \(-0.269122\pi\) |
−0.171422 | + | 0.985198i | \(0.554836\pi\) | |||||||
\(192\) | −374.436 | − | 1640.51i | −0.140743 | − | 0.616634i | ||||
\(193\) | 1570.65 | + | 756.386i | 0.585792 | + | 0.282103i | 0.703213 | − | 0.710980i | \(-0.251748\pi\) |
−0.117420 | + | 0.993082i | \(0.537462\pi\) | |||||||
\(194\) | 553.877 | − | 694.540i | 0.204980 | − | 0.257036i | ||||
\(195\) | −616.789 | −0.226508 | ||||||||
\(196\) | 2018.11 | + | 1481.84i | 0.735461 | + | 0.540031i | ||||
\(197\) | 2819.62 | 1.01974 | 0.509872 | − | 0.860250i | \(-0.329693\pi\) | ||||
0.509872 | + | 0.860250i | \(0.329693\pi\) | |||||||
\(198\) | 401.673 | − | 503.682i | 0.144170 | − | 0.180783i | ||||
\(199\) | −768.184 | − | 369.938i | −0.273644 | − | 0.131780i | 0.292030 | − | 0.956409i | \(-0.405669\pi\) |
−0.565673 | + | 0.824629i | \(0.691384\pi\) | |||||||
\(200\) | −350.343 | − | 1534.95i | −0.123865 | − | 0.542688i | ||||
\(201\) | 888.355 | + | 427.809i | 0.311740 | + | 0.150126i | ||||
\(202\) | 1498.69 | − | 721.730i | 0.522016 | − | 0.251390i | ||||
\(203\) | −557.924 | − | 4198.31i | −0.192900 | − | 1.45155i | ||||
\(204\) | −798.292 | − | 384.437i | −0.273979 | − | 0.131941i | ||||
\(205\) | 173.131 | + | 217.100i | 0.0589854 | + | 0.0739654i | ||||
\(206\) | −705.294 | + | 339.652i | −0.238544 | + | 0.114877i | ||||
\(207\) | 169.537 | − | 212.592i | 0.0569257 | − | 0.0713825i | ||||
\(208\) | −712.655 | + | 3122.34i | −0.237566 | + | 1.04084i | ||||
\(209\) | −1986.85 | + | 2491.43i | −0.657576 | + | 0.824574i | ||||
\(210\) | 133.383 | − | 49.6762i | 0.0438300 | − | 0.0163237i | ||||
\(211\) | 584.828 | + | 733.351i | 0.190811 | + | 0.239270i | 0.868030 | − | 0.496512i | \(-0.165386\pi\) |
−0.677218 | + | 0.735782i | \(0.736815\pi\) | |||||||
\(212\) | −3496.40 | + | 1683.78i | −1.13271 | + | 0.545483i | ||||
\(213\) | −883.991 | + | 3873.02i | −0.284366 | + | 1.24589i | ||||
\(214\) | −1060.95 | −0.338902 | ||||||||
\(215\) | 327.518 | 0.103891 | ||||||||
\(216\) | 234.733 | − | 1028.43i | 0.0739424 | − | 0.323963i | ||||
\(217\) | −2867.52 | + | 1067.96i | −0.897051 | + | 0.334091i | ||||
\(218\) | 133.578 | + | 585.244i | 0.0415002 | + | 0.181824i | ||||
\(219\) | −566.206 | − | 2480.71i | −0.174706 | − | 0.765438i | ||||
\(220\) | −354.090 | − | 444.015i | −0.108512 | − | 0.136070i | ||||
\(221\) | 792.398 | + | 993.636i | 0.241188 | + | 0.302440i | ||||
\(222\) | 285.390 | + | 1250.38i | 0.0862799 | + | 0.378017i | ||||
\(223\) | −1103.05 | − | 4832.79i | −0.331237 | − | 1.45124i | −0.816738 | − | 0.577008i | \(-0.804220\pi\) |
0.485501 | − | 0.874236i | \(-0.338637\pi\) | |||||||
\(224\) | −347.293 | − | 2613.34i | −0.103591 | − | 0.779513i | ||||
\(225\) | 387.396 | − | 1697.29i | 0.114784 | − | 0.502902i | ||||
\(226\) | 334.598 | 0.0984828 | ||||||||
\(227\) | 1929.91 | 0.564285 | 0.282143 | − | 0.959373i | \(-0.408955\pi\) | ||||
0.282143 | + | 0.959373i | \(0.408955\pi\) | |||||||
\(228\) | 610.876 | − | 2676.42i | 0.177440 | − | 0.777414i | ||||
\(229\) | −4558.51 | + | 2195.26i | −1.31544 | + | 0.633481i | −0.954249 | − | 0.299013i | \(-0.903343\pi\) |
−0.361187 | + | 0.932493i | \(0.617628\pi\) | |||||||
\(230\) | 14.3429 | + | 17.9854i | 0.00411193 | + | 0.00515619i | ||||
\(231\) | −4475.31 | + | 4657.24i | −1.27469 | + | 1.32651i | ||||
\(232\) | −1825.77 | + | 2289.45i | −0.516672 | + | 0.647886i | ||||
\(233\) | 1514.32 | − | 6634.65i | 0.425777 | − | 1.86545i | −0.0708490 | − | 0.997487i | \(-0.522571\pi\) |
0.496626 | − | 0.867965i | \(-0.334572\pi\) | |||||||
\(234\) | 496.342 | − | 622.393i | 0.138662 | − | 0.173876i | ||||
\(235\) | −317.477 | + | 152.889i | −0.0881273 | + | 0.0424399i | ||||
\(236\) | −762.421 | − | 956.045i | −0.210294 | − | 0.263700i | ||||
\(237\) | −5673.90 | − | 2732.41i | −1.55510 | − | 0.748898i | ||||
\(238\) | −251.387 | − | 151.058i | −0.0684663 | − | 0.0411413i | ||||
\(239\) | 2342.66 | − | 1128.17i | 0.634034 | − | 0.305334i | −0.0891209 | − | 0.996021i | \(-0.528406\pi\) |
0.723154 | + | 0.690686i | \(0.242691\pi\) | |||||||
\(240\) | 394.436 | + | 189.950i | 0.106086 | + | 0.0510885i | ||||
\(241\) | 1238.43 | + | 5425.91i | 0.331013 | + | 1.45026i | 0.817173 | + | 0.576393i | \(0.195540\pi\) |
−0.486160 | + | 0.873870i | \(0.661603\pi\) | |||||||
\(242\) | −1224.66 | − | 589.765i | −0.325306 | − | 0.156659i | ||||
\(243\) | 2256.52 | − | 2829.59i | 0.595703 | − | 0.746988i | ||||
\(244\) | 3307.41 | 0.867769 | ||||||||
\(245\) | −473.876 | + | 128.213i | −0.123571 | + | 0.0334337i | ||||
\(246\) | −1041.79 | −0.270010 | ||||||||
\(247\) | −2455.13 | + | 3078.63i | −0.632453 | + | 0.793071i | ||||
\(248\) | 1906.18 | + | 917.967i | 0.488074 | + | 0.235044i | ||||
\(249\) | −590.891 | − | 2588.86i | −0.150386 | − | 0.658885i | ||||
\(250\) | 267.609 | + | 128.874i | 0.0677003 | + | 0.0326027i | ||||
\(251\) | 1018.98 | − | 490.713i | 0.256244 | − | 0.123401i | −0.301352 | − | 0.953513i | \(-0.597438\pi\) |
0.557596 | + | 0.830112i | \(0.311724\pi\) | |||||||
\(252\) | 596.111 | − | 1819.02i | 0.149014 | − | 0.454713i | ||||
\(253\) | −940.535 | − | 452.938i | −0.233719 | − | 0.112553i | ||||
\(254\) | −97.9192 | − | 122.787i | −0.0241890 | − | 0.0303320i | ||||
\(255\) | 156.524 | − | 75.3782i | 0.0384390 | − | 0.0185112i | ||||
\(256\) | 599.427 | − | 751.657i | 0.146344 | − | 0.183510i | ||||
\(257\) | 1402.93 | − | 6146.65i | 0.340516 | − | 1.49190i | −0.457472 | − | 0.889224i | \(-0.651245\pi\) |
0.797988 | − | 0.602673i | \(-0.205898\pi\) | |||||||
\(258\) | −766.125 | + | 960.691i | −0.184872 | + | 0.231822i | ||||
\(259\) | −582.729 | − | 4384.97i | −0.139803 | − | 1.05200i | ||||
\(260\) | −437.544 | − | 548.663i | −0.104367 | − | 0.130872i | ||||
\(261\) | −2917.36 | + | 1404.92i | −0.691876 | + | 0.333190i | ||||
\(262\) | −88.2450 | + | 386.627i | −0.0208084 | + | 0.0911675i | ||||
\(263\) | 4800.80 | 1.12559 | 0.562794 | − | 0.826597i | \(-0.309726\pi\) | ||||
0.562794 | + | 0.826597i | \(0.309726\pi\) | |||||||
\(264\) | 4465.86 | 1.04112 | ||||||||
\(265\) | 169.318 | − | 741.829i | 0.0392495 | − | 0.171963i | ||||
\(266\) | 282.978 | − | 863.502i | 0.0652274 | − | 0.199040i | ||||
\(267\) | 1907.34 | + | 8356.61i | 0.437181 | + | 1.91542i | ||||
\(268\) | 249.634 | + | 1093.72i | 0.0568986 | + | 0.249289i | ||||
\(269\) | 4118.44 | + | 5164.36i | 0.933478 | + | 1.17054i | 0.985118 | + | 0.171879i | \(0.0549837\pi\) |
−0.0516401 | + | 0.998666i | \(0.516445\pi\) | |||||||
\(270\) | 61.5273 | + | 77.1528i | 0.0138683 | + | 0.0173903i | ||||
\(271\) | −366.708 | − | 1606.65i | −0.0821991 | − | 0.360138i | 0.917055 | − | 0.398761i | \(-0.130560\pi\) |
−0.999254 | + | 0.0386236i | \(0.987703\pi\) | |||||||
\(272\) | −200.731 | − | 879.461i | −0.0447468 | − | 0.196048i | ||||
\(273\) | −5530.08 | + | 5754.89i | −1.22599 | + | 1.27583i | ||||
\(274\) | −96.8318 | + | 424.248i | −0.0213497 | + | 0.0935392i | ||||
\(275\) | −6683.67 | −1.46560 | ||||||||
\(276\) | 899.314 | 0.196132 | ||||||||
\(277\) | 834.020 | − | 3654.08i | 0.180908 | − | 0.792608i | −0.800292 | − | 0.599611i | \(-0.795322\pi\) |
0.981199 | − | 0.192997i | \(-0.0618209\pi\) | |||||||
\(278\) | −1451.26 | + | 698.889i | −0.313096 | + | 0.150779i | ||||
\(279\) | 1458.63 | + | 1829.06i | 0.312996 | + | 0.392484i | ||||
\(280\) | 290.941 | + | 174.826i | 0.0620967 | + | 0.0373138i | ||||
\(281\) | −2808.44 | + | 3521.67i | −0.596219 | + | 0.747635i | −0.984783 | − | 0.173786i | \(-0.944400\pi\) |
0.388564 | + | 0.921422i | \(0.372971\pi\) | |||||||
\(282\) | 294.177 | − | 1288.87i | 0.0621205 | − | 0.272168i | ||||
\(283\) | 2515.54 | − | 3154.38i | 0.528386 | − | 0.662575i | −0.443980 | − | 0.896037i | \(-0.646434\pi\) |
0.972366 | + | 0.233462i | \(0.0750054\pi\) | |||||||
\(284\) | −4072.33 | + | 1961.13i | −0.850874 | + | 0.409759i | ||||
\(285\) | 335.608 | + | 420.839i | 0.0697532 | + | 0.0874678i | ||||
\(286\) | −2753.54 | − | 1326.04i | −0.569302 | − | 0.274161i | ||||
\(287\) | 3577.91 | + | 331.114i | 0.735880 | + | 0.0681013i | ||||
\(288\) | −1815.97 | + | 874.527i | −0.371553 | + | 0.178931i | ||||
\(289\) | 4103.94 | + | 1976.35i | 0.835322 | + | 0.402270i | ||||
\(290\) | −60.9570 | − | 267.070i | −0.0123432 | − | 0.0540790i | ||||
\(291\) | 6135.04 | + | 2954.48i | 1.23588 | + | 0.595171i | ||||
\(292\) | 1805.05 | − | 2263.46i | 0.361755 | − | 0.453627i | ||||
\(293\) | −2875.42 | −0.573323 | −0.286661 | − | 0.958032i | \(-0.592545\pi\) | ||||
−0.286661 | + | 0.958032i | \(0.592545\pi\) | |||||||
\(294\) | 732.403 | − | 1689.91i | 0.145288 | − | 0.335230i | ||||
\(295\) | 239.765 | 0.0473208 | ||||||||
\(296\) | −1906.95 | + | 2391.24i | −0.374456 | + | 0.469553i | ||||
\(297\) | −4034.65 | − | 1942.98i | −0.788262 | − | 0.379607i | ||||
\(298\) | −610.819 | − | 2676.18i | −0.118738 | − | 0.520224i | ||||
\(299\) | −1162.21 | − | 559.689i | −0.224790 | − | 0.108253i | ||||
\(300\) | 5187.65 | − | 2498.24i | 0.998364 | − | 0.480787i | ||||
\(301\) | 2936.50 | − | 3055.88i | 0.562316 | − | 0.585175i | ||||
\(302\) | 1648.97 | + | 794.103i | 0.314198 | + | 0.151310i | ||||
\(303\) | 7949.76 | + | 9968.69i | 1.50727 | + | 1.89005i | ||||
\(304\) | 2518.16 | − | 1212.68i | 0.475088 | − | 0.228790i | ||||
\(305\) | −404.332 | + | 507.016i | −0.0759081 | + | 0.0951858i | ||||
\(306\) | −49.8951 | + | 218.605i | −0.00932129 | + | 0.0408392i | ||||
\(307\) | −1754.72 | + | 2200.35i | −0.326213 | + | 0.409058i | −0.917711 | − | 0.397248i | \(-0.869965\pi\) |
0.591499 | + | 0.806306i | \(0.298537\pi\) | |||||||
\(308\) | −7317.59 | − | 677.198i | −1.35376 | − | 0.125282i | ||||
\(309\) | −3741.22 | − | 4691.34i | −0.688772 | − | 0.863693i | ||||
\(310\) | −178.319 | + | 85.8741i | −0.0326705 | + | 0.0157333i | ||||
\(311\) | −269.070 | + | 1178.87i | −0.0490597 | + | 0.214944i | −0.993516 | − | 0.113693i | \(-0.963732\pi\) |
0.944456 | + | 0.328637i | \(0.106589\pi\) | |||||||
\(312\) | 5518.40 | 1.00134 | ||||||||
\(313\) | 5256.27 | 0.949208 | 0.474604 | − | 0.880200i | \(-0.342591\pi\) | ||||
0.474604 | + | 0.880200i | \(0.342591\pi\) | |||||||
\(314\) | −371.809 | + | 1629.00i | −0.0668229 | + | 0.292770i | ||||
\(315\) | 205.976 | + | 313.758i | 0.0368426 | + | 0.0561214i | ||||
\(316\) | −1594.41 | − | 6985.55i | −0.283837 | − | 1.24357i | ||||
\(317\) | 1977.13 | + | 8662.36i | 0.350304 | + | 1.53478i | 0.776479 | + | 0.630143i | \(0.217004\pi\) |
−0.426175 | + | 0.904641i | \(0.640139\pi\) | |||||||
\(318\) | 1779.90 | + | 2231.93i | 0.313874 | + | 0.393586i | ||||
\(319\) | 7750.67 | + | 9719.04i | 1.36036 | + | 1.70584i | ||||
\(320\) | 83.5323 | + | 365.979i | 0.0145925 | + | 0.0639339i | ||||
\(321\) | −1809.63 | − | 7928.49i | −0.314653 | − | 1.37858i | ||||
\(322\) | 296.409 | + | 27.4309i | 0.0512988 | + | 0.00474740i | ||||
\(323\) | 246.803 | − | 1081.32i | 0.0425155 | − | 0.186273i | ||||
\(324\) | 6648.47 | 1.14000 | ||||||||
\(325\) | −8258.92 | −1.40961 | ||||||||
\(326\) | −48.2914 | + | 211.579i | −0.00820434 | + | 0.0359456i | ||||
\(327\) | −4145.70 | + | 1996.46i | −0.701094 | + | 0.337629i | ||||
\(328\) | −1549.00 | − | 1942.39i | −0.260760 | − | 0.326983i | ||||
\(329\) | −1419.96 | + | 4332.98i | −0.237948 | + | 0.726094i | ||||
\(330\) | −260.477 | + | 326.628i | −0.0434509 | + | 0.0544857i | ||||
\(331\) | 2353.14 | − | 10309.8i | 0.390756 | − | 1.71201i | −0.271244 | − | 0.962511i | \(-0.587435\pi\) |
0.662000 | − | 0.749504i | \(-0.269708\pi\) | |||||||
\(332\) | 1883.74 | − | 2362.14i | 0.311397 | − | 0.390480i | ||||
\(333\) | −3047.06 | + | 1467.39i | −0.501435 | + | 0.241478i | ||||
\(334\) | −295.404 | − | 370.424i | −0.0483945 | − | 0.0606848i | ||||
\(335\) | −198.181 | − | 95.4391i | −0.0323218 | − | 0.0155654i | ||||
\(336\) | 5308.79 | − | 1977.17i | 0.861960 | − | 0.321022i | ||||
\(337\) | −7446.34 | + | 3585.97i | −1.20364 | + | 0.579645i | −0.924712 | − | 0.380666i | \(-0.875695\pi\) |
−0.278932 | + | 0.960311i | \(0.589980\pi\) | |||||||
\(338\) | −1745.78 | − | 840.725i | −0.280941 | − | 0.135294i | ||||
\(339\) | 570.712 | + | 2500.45i | 0.0914361 | + | 0.400608i | ||||
\(340\) | 178.089 | + | 85.7633i | 0.0284066 | + | 0.0136799i | ||||
\(341\) | 5599.84 | − | 7021.98i | 0.889291 | − | 1.11514i | ||||
\(342\) | −694.732 | −0.109844 | ||||||||
\(343\) | −3052.45 | + | 5571.01i | −0.480516 | + | 0.876986i | ||||
\(344\) | −2930.30 | −0.459276 | ||||||||
\(345\) | −109.941 | + | 137.862i | −0.0171566 | + | 0.0215137i | ||||
\(346\) | −2545.53 | − | 1225.86i | −0.395516 | − | 0.190471i | ||||
\(347\) | −1371.57 | − | 6009.23i | −0.212189 | − | 0.929662i | −0.963076 | − | 0.269230i | \(-0.913231\pi\) |
0.750887 | − | 0.660431i | \(-0.229626\pi\) | |||||||
\(348\) | −9648.64 | − | 4646.54i | −1.48627 | − | 0.715749i | ||||
\(349\) | 1390.53 | − | 669.642i | 0.213276 | − | 0.102708i | −0.324196 | − | 0.945990i | \(-0.605094\pi\) |
0.537472 | + | 0.843282i | \(0.319379\pi\) | |||||||
\(350\) | 1786.02 | − | 665.173i | 0.272763 | − | 0.101586i | ||||
\(351\) | −4985.56 | − | 2400.92i | −0.758146 | − | 0.365104i | ||||
\(352\) | 4824.59 | + | 6049.84i | 0.730543 | + | 0.916072i | ||||
\(353\) | 8630.77 | − | 4156.36i | 1.30133 | − | 0.626687i | 0.350547 | − | 0.936545i | \(-0.385996\pi\) |
0.950783 | + | 0.309858i | \(0.100281\pi\) | |||||||
\(354\) | −560.855 | + | 703.290i | −0.0842065 | + | 0.105592i | ||||
\(355\) | 197.208 | − | 864.023i | 0.0294837 | − | 0.129176i | ||||
\(356\) | −6080.55 | + | 7624.77i | −0.905249 | + | 1.13515i | ||||
\(357\) | 700.077 | − | 2136.27i | 0.103787 | − | 0.316704i | ||||
\(358\) | 1428.64 | + | 1791.46i | 0.210910 | + | 0.264473i | ||||
\(359\) | −9744.76 | + | 4692.83i | −1.43262 | + | 0.689911i | −0.979482 | − | 0.201532i | \(-0.935408\pi\) |
−0.453133 | + | 0.891443i | \(0.649694\pi\) | |||||||
\(360\) | 57.7459 | − | 253.001i | 0.00845410 | − | 0.0370398i | ||||
\(361\) | −3422.55 | −0.498986 | ||||||||
\(362\) | 2885.15 | 0.418895 | ||||||||
\(363\) | 2318.46 | − | 10157.9i | 0.335228 | − | 1.46873i | ||||
\(364\) | −9042.24 | − | 836.805i | −1.30204 | − | 0.120496i | ||||
\(365\) | 126.314 | + | 553.417i | 0.0181139 | + | 0.0793621i | ||||
\(366\) | −541.396 | − | 2372.01i | −0.0773203 | − | 0.338763i | ||||
\(367\) | −6467.18 | − | 8109.59i | −0.919848 | − | 1.15345i | −0.987794 | − | 0.155764i | \(-0.950216\pi\) |
0.0679461 | − | 0.997689i | \(-0.478355\pi\) | |||||||
\(368\) | 570.864 | + | 715.841i | 0.0808651 | + | 0.101402i | ||||
\(369\) | −611.302 | − | 2678.29i | −0.0862415 | − | 0.377849i | ||||
\(370\) | −63.6671 | − | 278.944i | −0.00894567 | − | 0.0391935i | ||||
\(371\) | −5403.48 | − | 8230.99i | −0.756159 | − | 1.15184i | ||||
\(372\) | −1721.72 | + | 7543.36i | −0.239965 | + | 1.05136i | ||||
\(373\) | −1084.71 | −0.150574 | −0.0752871 | − | 0.997162i | \(-0.523987\pi\) | ||||
−0.0752871 | + | 0.997162i | \(0.523987\pi\) | |||||||
\(374\) | 860.831 | 0.119017 | ||||||||
\(375\) | −506.623 | + | 2219.66i | −0.0697651 | + | 0.305661i | ||||
\(376\) | 2840.46 | − | 1367.89i | 0.389589 | − | 0.187616i | ||||
\(377\) | 9577.40 | + | 12009.7i | 1.30839 | + | 1.64066i | ||||
\(378\) | 1271.52 | + | 117.671i | 0.173015 | + | 0.0160115i | ||||
\(379\) | 3423.62 | − | 4293.09i | 0.464010 | − | 0.581850i | −0.493683 | − | 0.869642i | \(-0.664350\pi\) |
0.957693 | + | 0.287792i | \(0.0929212\pi\) | |||||||
\(380\) | −136.279 | + | 597.078i | −0.0183973 | + | 0.0806038i | ||||
\(381\) | 750.570 | − | 941.186i | 0.100926 | − | 0.126557i | ||||
\(382\) | 1086.90 | − | 523.423i | 0.145577 | − | 0.0701064i | ||||
\(383\) | 2550.00 | + | 3197.59i | 0.340205 | + | 0.426604i | 0.922275 | − | 0.386535i | \(-0.126328\pi\) |
−0.582069 | + | 0.813139i | \(0.697757\pi\) | |||||||
\(384\) | −7851.31 | − | 3780.99i | −1.04339 | − | 0.502469i | ||||
\(385\) | 998.388 | − | 1038.98i | 0.132163 | − | 0.137535i | ||||
\(386\) | 1314.59 | − | 633.075i | 0.173345 | − | 0.0834784i | ||||
\(387\) | −2919.33 | − | 1405.88i | −0.383457 | − | 0.184663i | ||||
\(388\) | 1723.99 | + | 7553.29i | 0.225573 | + | 0.988299i | ||||
\(389\) | −7987.39 | − | 3846.53i | −1.04107 | − | 0.501354i | −0.166394 | − | 0.986059i | \(-0.553212\pi\) |
−0.874677 | + | 0.484706i | \(0.838927\pi\) | |||||||
\(390\) | −321.868 | + | 403.610i | −0.0417908 | + | 0.0524040i | ||||
\(391\) | 363.337 | 0.0469942 | ||||||||
\(392\) | 4239.76 | − | 1147.12i | 0.546276 | − | 0.147802i | ||||
\(393\) | −3039.79 | −0.390170 | ||||||||
\(394\) | 1471.40 | − | 1845.08i | 0.188143 | − | 0.235924i | ||||
\(395\) | 1265.78 | + | 609.567i | 0.161236 | + | 0.0776472i | ||||
\(396\) | 1250.24 | + | 5477.66i | 0.158654 | + | 0.695108i | ||||
\(397\) | 2196.93 | + | 1057.98i | 0.277734 | + | 0.133750i | 0.567566 | − | 0.823328i | \(-0.307885\pi\) |
−0.289832 | + | 0.957078i | \(0.593599\pi\) | |||||||
\(398\) | −642.950 | + | 309.629i | −0.0809754 | + | 0.0389957i | ||||
\(399\) | 6935.63 | + | 641.851i | 0.870215 | + | 0.0805331i | ||||
\(400\) | 5281.57 | + | 2543.47i | 0.660196 | + | 0.317934i | ||||
\(401\) | 459.549 | + | 576.257i | 0.0572289 | + | 0.0717628i | 0.809622 | − | 0.586951i | \(-0.199672\pi\) |
−0.752393 | + | 0.658714i | \(0.771101\pi\) | |||||||
\(402\) | 743.530 | − | 358.065i | 0.0922486 | − | 0.0444246i | ||||
\(403\) | 6919.64 | − | 8676.96i | 0.855315 | − | 1.07253i | ||||
\(404\) | −3228.14 | + | 14143.4i | −0.397539 | + | 1.74173i | ||||
\(405\) | −812.777 | + | 1019.19i | −0.0997215 | + | 0.125047i | ||||
\(406\) | −3038.41 | − | 1825.78i | −0.371413 | − | 0.223182i | ||||
\(407\) | 8095.26 | + | 10151.1i | 0.985915 | + | 1.23630i | ||||
\(408\) | −1400.42 | + | 674.407i | −0.169929 | + | 0.0818337i | ||||
\(409\) | −495.846 | + | 2172.44i | −0.0599463 | + | 0.262642i | −0.996016 | − | 0.0891722i | \(-0.971578\pi\) |
0.936070 | + | 0.351814i | \(0.114435\pi\) | |||||||
\(410\) | 232.412 | 0.0279951 | ||||||||
\(411\) | −3335.57 | −0.400321 | ||||||||
\(412\) | 1519.19 | − | 6655.99i | 0.181662 | − | 0.795915i | ||||
\(413\) | 2149.71 | − | 2237.10i | 0.256127 | − | 0.266539i | ||||
\(414\) | −50.6427 | − | 221.880i | −0.00601197 | − | 0.0263402i | ||||
\(415\) | 131.821 | + | 577.544i | 0.0155923 | + | 0.0683145i | ||||
\(416\) | 5961.67 | + | 7475.70i | 0.702632 | + | 0.881073i | ||||
\(417\) | −7698.17 | − | 9653.20i | −0.904031 | − | 1.13362i | ||||
\(418\) | 593.498 | + | 2600.28i | 0.0694472 | + | 0.304268i | ||||
\(419\) | 2521.32 | + | 11046.6i | 0.293972 | + | 1.28798i | 0.878945 | + | 0.476923i | \(0.158248\pi\) |
−0.584973 | + | 0.811053i | \(0.698895\pi\) | |||||||
\(420\) | −386.566 | + | 1179.60i | −0.0449107 | + | 0.137044i | ||||
\(421\) | 1411.48 | − | 6184.11i | 0.163400 | − | 0.715903i | −0.825138 | − | 0.564931i | \(-0.808903\pi\) |
0.988538 | − | 0.150972i | \(-0.0482402\pi\) | |||||||
\(422\) | 785.074 | 0.0905611 | ||||||||
\(423\) | 3486.11 | 0.400710 | ||||||||
\(424\) | −1514.88 | + | 6637.14i | −0.173512 | + | 0.760207i | ||||
\(425\) | 2095.89 | − | 1009.33i | 0.239213 | − | 0.115199i | ||||
\(426\) | 2073.09 | + | 2599.57i | 0.235778 | + | 0.295657i | ||||
\(427\) | 1105.46 | + | 8318.46i | 0.125286 | + | 0.942759i | ||||
\(428\) | 5769.04 | − | 7234.15i | 0.651535 | − | 0.817000i | ||||
\(429\) | 5212.86 | − | 22839.0i | 0.586665 | − | 2.57035i | ||||
\(430\) | 170.913 | − | 214.319i | 0.0191679 | − | 0.0240357i | ||||
\(431\) | −1003.19 | + | 483.112i | −0.112116 | + | 0.0539923i | −0.489101 | − | 0.872227i | \(-0.662675\pi\) |
0.376985 | + | 0.926219i | \(0.376961\pi\) | |||||||
\(432\) | 2448.86 | + | 3070.77i | 0.272733 | + | 0.341996i | ||||
\(433\) | −4194.01 | − | 2019.73i | −0.465476 | − | 0.224162i | 0.186419 | − | 0.982470i | \(-0.440312\pi\) |
−0.651896 | + | 0.758309i | \(0.726026\pi\) | |||||||
\(434\) | −797.558 | + | 2433.73i | −0.0882120 | + | 0.269177i | ||||
\(435\) | 1891.85 | − | 911.066i | 0.208522 | − | 0.100419i | ||||
\(436\) | −4716.87 | − | 2271.52i | −0.518112 | − | 0.249510i | ||||
\(437\) | 250.501 | + | 1097.52i | 0.0274213 | + | 0.120141i | ||||
\(438\) | −1918.78 | − | 924.036i | −0.209322 | − | 0.100804i | ||||
\(439\) | −2663.20 | + | 3339.55i | −0.289539 | + | 0.363071i | −0.905234 | − | 0.424914i | \(-0.860304\pi\) |
0.615694 | + | 0.787985i | \(0.288876\pi\) | |||||||
\(440\) | −996.279 | −0.107945 | ||||||||
\(441\) | 4774.25 | + | 891.290i | 0.515522 | + | 0.0962412i | ||||
\(442\) | 1063.72 | 0.114470 | ||||||||
\(443\) | −2025.57 | + | 2539.98i | −0.217240 | + | 0.272411i | −0.878496 | − | 0.477750i | \(-0.841453\pi\) |
0.661255 | + | 0.750161i | \(0.270024\pi\) | |||||||
\(444\) | −10077.6 | − | 4853.12i | −1.07717 | − | 0.518736i | ||||
\(445\) | −425.505 | − | 1864.26i | −0.0453278 | − | 0.198594i | ||||
\(446\) | −3738.07 | − | 1800.16i | −0.396867 | − | 0.191121i | ||||
\(447\) | 18957.2 | − | 9129.33i | 2.00592 | − | 0.966001i | ||||
\(448\) | 4163.68 | + | 2501.95i | 0.439096 | + | 0.263853i | ||||
\(449\) | 6674.49 | + | 3214.27i | 0.701534 | + | 0.337841i | 0.750418 | − | 0.660963i | \(-0.229852\pi\) |
−0.0488840 | + | 0.998804i | \(0.515566\pi\) | |||||||
\(450\) | −908.501 | − | 1139.22i | −0.0951715 | − | 0.119341i | ||||
\(451\) | −9502.23 | + | 4576.03i | −0.992112 | + | 0.477776i | ||||
\(452\) | −1819.42 | + | 2281.48i | −0.189332 | + | 0.237415i | ||||
\(453\) | −3121.75 | + | 13677.3i | −0.323780 | + | 1.41857i | ||||
\(454\) | 1007.11 | − | 1262.88i | 0.104111 | − | 0.130551i | ||||
\(455\) | 1233.69 | − | 1283.85i | 0.127113 | − | 0.132281i | ||||
\(456\) | −3002.68 | − | 3765.24i | −0.308362 | − | 0.386674i | ||||
\(457\) | 666.199 | − | 320.824i | 0.0681914 | − | 0.0328392i | −0.399477 | − | 0.916743i | \(-0.630808\pi\) |
0.467669 | + | 0.883904i | \(0.345094\pi\) | |||||||
\(458\) | −942.315 | + | 4128.55i | −0.0961386 | + | 0.421211i | ||||
\(459\) | 1558.62 | 0.158497 | ||||||||
\(460\) | −200.626 | −0.0203353 | ||||||||
\(461\) | −602.522 | + | 2639.82i | −0.0608725 | + | 0.266700i | −0.996201 | − | 0.0870796i | \(-0.972247\pi\) |
0.935329 | + | 0.353780i | \(0.115104\pi\) | |||||||
\(462\) | 712.155 | + | 5358.88i | 0.0717152 | + | 0.539649i | ||||
\(463\) | 276.058 | + | 1209.49i | 0.0277095 | + | 0.121403i | 0.986891 | − | 0.161387i | \(-0.0515969\pi\) |
−0.959182 | + | 0.282791i | \(0.908740\pi\) | |||||||
\(464\) | −2426.16 | − | 10629.7i | −0.242741 | − | 1.06352i | ||||
\(465\) | −945.892 | − | 1186.11i | −0.0943327 | − | 0.118289i | ||||
\(466\) | −3551.29 | − | 4453.18i | −0.353027 | − | 0.442682i | ||||
\(467\) | −2909.77 | − | 12748.5i | −0.288326 | − | 1.26324i | −0.886822 | − | 0.462112i | \(-0.847092\pi\) |
0.598496 | − | 0.801126i | \(-0.295765\pi\) | |||||||
\(468\) | 1544.91 | + | 6768.67i | 0.152592 | + | 0.668551i | ||||
\(469\) | −2667.37 | + | 993.414i | −0.262617 | + | 0.0978073i | ||||
\(470\) | −65.6274 | + | 287.532i | −0.00644078 | + | 0.0282189i | ||||
\(471\) | −12807.7 | −1.25297 | ||||||||
\(472\) | −2145.17 | −0.209194 | ||||||||
\(473\) | −2768.06 | + | 12127.6i | −0.269081 | + | 1.17892i | ||||
\(474\) | −4748.91 | + | 2286.95i | −0.460178 | + | 0.221610i | ||||
\(475\) | 4493.85 | + | 5635.11i | 0.434088 | + | 0.544330i | ||||
\(476\) | 2396.94 | − | 892.700i | 0.230806 | − | 0.0859597i | ||||
\(477\) | −4693.53 | + | 5885.50i | −0.450528 | + | 0.564944i | ||||
\(478\) | 484.264 | − | 2121.70i | 0.0463383 | − | 0.203021i | ||||
\(479\) | 6873.82 | − | 8619.50i | 0.655684 | − | 0.822202i | −0.337181 | − | 0.941440i | \(-0.609474\pi\) |
0.992866 | + | 0.119237i | \(0.0380450\pi\) | |||||||
\(480\) | 1177.62 | − | 567.114i | 0.111981 | − | 0.0539273i | ||||
\(481\) | 10003.2 | + | 12543.6i | 0.948247 | + | 1.18906i | ||||
\(482\) | 4196.83 | + | 2021.09i | 0.396598 | + | 0.190992i | ||||
\(483\) | 300.584 | + | 2261.86i | 0.0283168 | + | 0.213081i | ||||
\(484\) | 10680.6 | − | 5143.50i | 1.00306 | − | 0.483049i | ||||
\(485\) | −1368.65 | − | 659.109i | −0.128139 | − | 0.0617084i | ||||
\(486\) | −674.051 | − | 2953.21i | −0.0629127 | − | 0.275638i | ||||
\(487\) | −13591.8 | − | 6545.49i | −1.26469 | − | 0.609044i | −0.323280 | − | 0.946303i | \(-0.604786\pi\) |
−0.941412 | + | 0.337260i | \(0.890500\pi\) | |||||||
\(488\) | 3617.55 | − | 4536.27i | 0.335572 | − | 0.420793i | ||||
\(489\) | −1663.50 | −0.153836 | ||||||||
\(490\) | −163.390 | + | 376.999i | −0.0150637 | + | 0.0347573i | ||||
\(491\) | 14530.5 | 1.33555 | 0.667774 | − | 0.744364i | \(-0.267247\pi\) | ||||
0.667774 | + | 0.744364i | \(0.267247\pi\) | |||||||
\(492\) | 5664.88 | − | 7103.54i | 0.519091 | − | 0.650919i | ||||
\(493\) | −3898.20 | − | 1877.27i | −0.356118 | − | 0.171497i | ||||
\(494\) | 733.377 | + | 3213.13i | 0.0667939 | + | 0.292643i | ||||
\(495\) | −992.551 | − | 477.987i | −0.0901249 | − | 0.0434019i | ||||
\(496\) | −7097.32 | + | 3417.89i | −0.642498 | + | 0.309411i | ||||
\(497\) | −6293.54 | − | 9586.80i | −0.568016 | − | 0.865245i | ||||
\(498\) | −2002.43 | − | 964.321i | −0.180183 | − | 0.0867716i | ||||
\(499\) | 6113.75 | + | 7666.40i | 0.548475 | + | 0.687766i | 0.976381 | − | 0.216058i | \(-0.0693199\pi\) |
−0.427906 | + | 0.903823i | \(0.640748\pi\) | |||||||
\(500\) | −2333.89 | + | 1123.94i | −0.208749 | + | 0.100528i | ||||
\(501\) | 2264.33 | − | 2839.38i | 0.201922 | − | 0.253202i | ||||
\(502\) | 210.638 | − | 922.867i | 0.0187276 | − | 0.0820509i | ||||
\(503\) | −13414.5 | + | 16821.2i | −1.18911 | + | 1.49110i | −0.359143 | + | 0.933283i | \(0.616931\pi\) |
−0.829967 | + | 0.557813i | \(0.811641\pi\) | |||||||
\(504\) | −1842.86 | − | 2807.19i | −0.162872 | − | 0.248099i | ||||
\(505\) | −1773.50 | − | 2223.89i | −0.156276 | − | 0.195964i | ||||
\(506\) | −787.203 | + | 379.097i | −0.0691610 | + | 0.0333062i | ||||
\(507\) | 3305.03 | − | 14480.3i | 0.289510 | − | 1.26843i | ||||
\(508\) | 1369.68 | 0.119625 | ||||||||
\(509\) | −5022.03 | −0.437324 | −0.218662 | − | 0.975801i | \(-0.570169\pi\) | ||||
−0.218662 | + | 0.975801i | \(0.570169\pi\) | |||||||
\(510\) | 32.3560 | − | 141.761i | 0.00280931 | − | 0.0123084i | ||||
\(511\) | 6296.13 | + | 3783.34i | 0.545057 | + | 0.327524i | ||||
\(512\) | −2597.07 | − | 11378.5i | −0.224170 | − | 0.982154i | ||||
\(513\) | 1074.59 | + | 4708.07i | 0.0924836 | + | 0.405197i | ||||
\(514\) | −3290.09 | − | 4125.64i | −0.282334 | − | 0.354035i | ||||
\(515\) | 834.621 | + | 1046.58i | 0.0714132 | + | 0.0895493i | ||||
\(516\) | −2384.63 | − | 10447.7i | −0.203445 | − | 0.891350i | ||||
\(517\) | −2978.12 | − | 13048.0i | −0.253342 | − | 1.10996i | ||||
\(518\) | −3173.50 | − | 1906.95i | −0.269180 | − | 0.161750i | ||||
\(519\) | 4819.07 | − | 21113.7i | 0.407579 | − | 1.78572i | ||||
\(520\) | −1231.09 | −0.103821 | ||||||||
\(521\) | −9059.77 | −0.761834 | −0.380917 | − | 0.924609i | \(-0.624392\pi\) | ||||
−0.380917 | + | 0.924609i | \(0.624392\pi\) | |||||||
\(522\) | −603.063 | + | 2642.19i | −0.0505658 | + | 0.221543i | ||||
\(523\) | −17635.6 | + | 8492.88i | −1.47448 | + | 0.710072i | −0.986648 | − | 0.162866i | \(-0.947926\pi\) |
−0.487831 | + | 0.872938i | \(0.662212\pi\) | |||||||
\(524\) | −2156.40 | − | 2704.03i | −0.179776 | − | 0.225432i | ||||
\(525\) | 8017.22 | + | 12212.4i | 0.666476 | + | 1.01523i | ||||
\(526\) | 2505.27 | − | 3141.51i | 0.207671 | − | 0.260411i | ||||
\(527\) | −695.602 | + | 3047.63i | −0.0574970 | + | 0.251911i | ||||
\(528\) | −10367.3 | + | 13000.2i | −0.854504 | + | 1.07151i | ||||
\(529\) | 10629.8 | − | 5119.06i | 0.873661 | − | 0.420733i | ||||
\(530\) | −397.075 | − | 497.917i | −0.0325431 | − | 0.0408078i | ||||
\(531\) | −2137.14 | − | 1029.19i | −0.174659 | − | 0.0841116i | ||||
\(532\) | 4349.11 | + | 6624.90i | 0.354432 | + | 0.539898i | ||||
\(533\) | −11741.8 | + | 5654.54i | −0.954207 | + | 0.459522i | ||||
\(534\) | 6463.67 | + | 3112.74i | 0.523802 | + | 0.252250i | ||||
\(535\) | 403.706 | + | 1768.75i | 0.0326238 | + | 0.142934i | ||||
\(536\) | 1773.13 | + | 853.893i | 0.142887 | + | 0.0688107i | ||||
\(537\) | −10950.8 | + | 13731.9i | −0.880004 | + | 1.10349i | ||||
\(538\) | 5528.60 | 0.443039 | ||||||||
\(539\) | −742.591 | − | 18630.8i | −0.0593426 | − | 1.48884i | ||||
\(540\) | −860.633 | −0.0685847 | ||||||||
\(541\) | 4642.48 | − | 5821.49i | 0.368939 | − | 0.462635i | −0.562359 | − | 0.826893i | \(-0.690106\pi\) |
0.931298 | + | 0.364258i | \(0.118678\pi\) | |||||||
\(542\) | −1242.72 | − | 598.460i | −0.0984856 | − | 0.0474282i | ||||
\(543\) | 4921.10 | + | 21560.7i | 0.388922 | + | 1.70398i | ||||
\(544\) | −2426.52 | − | 1168.55i | −0.191243 | − | 0.0920979i | ||||
\(545\) | 924.855 | − | 445.387i | 0.0726907 | − | 0.0350060i | ||||
\(546\) | 880.000 | + | 6621.89i | 0.0689753 | + | 0.519031i | ||||
\(547\) | −15117.9 | − | 7280.40i | −1.18171 | − | 0.569081i | −0.263301 | − | 0.964714i | \(-0.584811\pi\) |
−0.918409 | + | 0.395633i | \(0.870525\pi\) | |||||||
\(548\) | −2366.23 | − | 2967.15i | −0.184453 | − | 0.231297i | ||||
\(549\) | 5780.39 | − | 2783.69i | 0.449364 | − | 0.216402i | ||||
\(550\) | −3487.84 | + | 4373.61i | −0.270403 | + | 0.339075i | ||||
\(551\) | 2983.01 | − | 13069.4i | 0.230636 | − | 1.01048i | ||||
\(552\) | 983.643 | − | 1233.45i | 0.0758453 | − | 0.0951070i | ||||
\(553\) | 17036.4 | − | 6344.91i | 1.31006 | − | 0.487908i | ||||
\(554\) | −1955.90 | − | 2452.62i | −0.149997 | − | 0.188090i | ||||
\(555\) | 1975.96 | − | 951.571i | 0.151126 | − | 0.0727783i | ||||
\(556\) | 3125.97 | − | 13695.8i | 0.238437 | − | 1.04466i | ||||
\(557\) | −19923.1 | −1.51557 | −0.757783 | − | 0.652506i | \(-0.773718\pi\) | ||||
−0.757783 | + | 0.652506i | \(0.773718\pi\) | |||||||
\(558\) | 1958.07 | 0.148551 | ||||||||
\(559\) | −3420.45 | + | 14986.0i | −0.258801 | + | 1.13388i | ||||
\(560\) | −1184.33 | + | 441.082i | −0.0893697 | + | 0.0332842i | ||||
\(561\) | 1468.29 | + | 6433.00i | 0.110501 | + | 0.484138i | ||||
\(562\) | 838.917 | + | 3675.54i | 0.0629672 | + | 0.275877i | ||||
\(563\) | −12713.0 | − | 15941.6i | −0.951666 | − | 1.19335i | −0.981044 | − | 0.193783i | \(-0.937924\pi\) |
0.0293786 | − | 0.999568i | \(-0.490647\pi\) | |||||||
\(564\) | 7188.64 | + | 9014.27i | 0.536696 | + | 0.672995i | ||||
\(565\) | −127.319 | − | 557.822i | −0.00948028 | − | 0.0415358i | ||||
\(566\) | −751.422 | − | 3292.20i | −0.0558032 | − | 0.244490i | ||||
\(567\) | 2222.16 | + | 16721.5i | 0.164589 | + | 1.23851i | ||||
\(568\) | −1764.41 | + | 7730.41i | −0.130340 | + | 0.571057i | ||||
\(569\) | 826.351 | 0.0608830 | 0.0304415 | − | 0.999537i | \(-0.490309\pi\) | ||||
0.0304415 | + | 0.999537i | \(0.490309\pi\) | |||||||
\(570\) | 450.520 | 0.0331056 | ||||||||
\(571\) | 2876.66 | − | 12603.5i | 0.210831 | − | 0.923710i | −0.753173 | − | 0.657822i | \(-0.771478\pi\) |
0.964004 | − | 0.265888i | \(-0.0856650\pi\) | |||||||
\(572\) | 24014.4 | − | 11564.7i | 1.75541 | − | 0.845359i | ||||
\(573\) | 5765.43 | + | 7229.63i | 0.420339 | + | 0.527089i | ||||
\(574\) | 2083.79 | − | 2168.50i | 0.151525 | − | 0.157685i | ||||
\(575\) | −1472.13 | + | 1846.00i | −0.106769 | + | 0.133884i | ||||
\(576\) | 826.405 | − | 3620.72i | 0.0597804 | − | 0.261915i | ||||
\(577\) | −10156.9 | + | 12736.4i | −0.732821 | + | 0.918928i | −0.998987 | − | 0.0449988i | \(-0.985672\pi\) |
0.266166 | + | 0.963927i | \(0.414243\pi\) | |||||||
\(578\) | 3434.89 | − | 1654.16i | 0.247184 | − | 0.119038i | ||||
\(579\) | 6973.24 | + | 8744.17i | 0.500515 | + | 0.627626i | ||||
\(580\) | 2152.50 | + | 1036.59i | 0.154099 | + | 0.0742103i | ||||
\(581\) | 6570.62 | + | 3948.28i | 0.469183 | + | 0.281931i | ||||
\(582\) | 5134.87 | − | 2472.82i | 0.365717 | − | 0.176120i | ||||
\(583\) | 26038.2 | + | 12539.3i | 1.84973 | + | 0.890782i | ||||
\(584\) | −1130.13 | − | 4951.41i | −0.0800771 | − | 0.350841i | ||||
\(585\) | −1226.48 | − | 590.642i | −0.0866816 | − | 0.0417437i | ||||
\(586\) | −1500.52 | + | 1881.59i | −0.105778 | + | 0.132641i | ||||
\(587\) | 14432.0 | 1.01477 | 0.507386 | − | 0.861719i | \(-0.330612\pi\) | ||||
0.507386 | + | 0.861719i | \(0.330612\pi\) | |||||||
\(588\) | 7540.23 | + | 14183.0i | 0.528833 | + | 0.994725i | ||||
\(589\) | −9685.46 | −0.677560 | ||||||||
\(590\) | 125.120 | − | 156.896i | 0.00873069 | − | 0.0109479i | ||||
\(591\) | 16298.1 | + | 7848.73i | 1.13437 | + | 0.546284i | ||||
\(592\) | −2534.02 | − | 11102.3i | −0.175925 | − | 0.770779i | ||||
\(593\) | 9972.84 | + | 4802.67i | 0.690616 | + | 0.332583i | 0.746060 | − | 0.665878i | \(-0.231943\pi\) |
−0.0554438 | + | 0.998462i | \(0.517657\pi\) | |||||||
\(594\) | −3376.89 | + | 1626.23i | −0.233259 | + | 0.112331i | ||||
\(595\) | −156.179 | + | 476.577i | −0.0107608 | + | 0.0328365i | ||||
\(596\) | 21569.1 | + | 10387.1i | 1.48239 | + | 0.713881i | ||||
\(597\) | −3410.52 | − | 4276.66i | −0.233808 | − | 0.293186i | ||||
\(598\) | −972.736 | + | 468.445i | −0.0665186 | + | 0.0320337i | ||||
\(599\) | −11649.1 | + | 14607.5i | −0.794609 | + | 0.996408i | 0.205235 | + | 0.978713i | \(0.434204\pi\) |
−0.999843 | + | 0.0176950i | \(0.994367\pi\) | |||||||
\(600\) | 2247.65 | − | 9847.60i | 0.152933 | − | 0.670044i | ||||
\(601\) | −1364.21 | + | 1710.66i | −0.0925909 | + | 0.116105i | −0.825969 | − | 0.563716i | \(-0.809371\pi\) |
0.733378 | + | 0.679821i | \(0.237943\pi\) | |||||||
\(602\) | −467.284 | − | 3516.26i | −0.0316363 | − | 0.238060i | ||||
\(603\) | 1356.82 | + | 1701.39i | 0.0916316 | + | 0.114902i | ||||
\(604\) | −14381.1 | + | 6925.58i | −0.968807 | + | 0.466553i | ||||
\(605\) | −517.222 | + | 2266.10i | −0.0347571 | + | 0.152281i | ||||
\(606\) | 10671.8 | 0.715365 | ||||||||
\(607\) | 6041.06 | 0.403953 | 0.201976 | − | 0.979390i | \(-0.435264\pi\) | ||||
0.201976 | + | 0.979390i | \(0.435264\pi\) | |||||||
\(608\) | 1856.85 | − | 8135.37i | 0.123857 | − | 0.542653i | ||||
\(609\) | 8461.55 | − | 25820.3i | 0.563020 | − | 1.71805i | ||||
\(610\) | 120.779 | + | 529.168i | 0.00801672 | + | 0.0351236i | ||||
\(611\) | −3680.02 | − | 16123.2i | −0.243663 | − | 1.06756i | ||||
\(612\) | −1219.26 | − | 1528.90i | −0.0805321 | − | 0.100984i | ||||
\(613\) | 276.479 | + | 346.693i | 0.0182168 | + | 0.0228431i | 0.790856 | − | 0.612002i | \(-0.209635\pi\) |
−0.772640 | + | 0.634845i | \(0.781064\pi\) | |||||||
\(614\) | 524.157 | + | 2296.48i | 0.0344516 | + | 0.150942i | ||||
\(615\) | 396.417 | + | 1736.82i | 0.0259920 | + | 0.113878i | ||||
\(616\) | −8932.57 | + | 9295.70i | −0.584259 | + | 0.608010i | ||||
\(617\) | −1632.86 | + | 7154.03i | −0.106542 | + | 0.466792i | 0.893307 | + | 0.449446i | \(0.148379\pi\) |
−0.999850 | + | 0.0173455i | \(0.994478\pi\) | |||||||
\(618\) | −5022.22 | −0.326899 | ||||||||
\(619\) | 17256.5 | 1.12051 | 0.560256 | − | 0.828319i | \(-0.310703\pi\) | ||||
0.560256 | + | 0.828319i | \(0.310703\pi\) | |||||||
\(620\) | 384.096 | − | 1682.83i | 0.0248801 | − | 0.109007i | ||||
\(621\) | −1425.31 | + | 686.392i | −0.0921025 | + | 0.0443542i | ||||
\(622\) | 631.009 | + | 791.260i | 0.0406771 | + | 0.0510075i | ||||
\(623\) | −21209.4 | − | 12744.7i | −1.36394 | − | 0.819590i | ||||
\(624\) | −12810.7 | + | 16064.1i | −0.821857 | + | 1.03058i | ||||
\(625\) | −3306.89 | + | 14488.4i | −0.211641 | + | 0.927260i | ||||
\(626\) | 2742.96 | − | 3439.56i | 0.175129 | − | 0.219605i | ||||
\(627\) | −18419.6 | + | 8870.44i | −1.17322 | + | 0.564994i | ||||
\(628\) | −9085.69 | − | 11393.1i | −0.577323 | − | 0.723940i | ||||
\(629\) | −4071.51 | − | 1960.74i | −0.258095 | − | 0.124292i | ||||
\(630\) | 312.802 | + | 28.9479i | 0.0197815 | + | 0.00183065i | ||||
\(631\) | −4010.27 | + | 1931.24i | −0.253005 | + | 0.121841i | −0.556088 | − | 0.831123i | \(-0.687698\pi\) |
0.303083 | + | 0.952964i | \(0.401984\pi\) | |||||||
\(632\) | −11324.9 | − | 5453.79i | −0.712786 | − | 0.343260i | ||||
\(633\) | 1339.07 | + | 5866.87i | 0.0840813 | + | 0.368384i | ||||
\(634\) | 6700.16 | + | 3226.63i | 0.419712 | + | 0.202123i | ||||
\(635\) | −167.443 | + | 209.967i | −0.0104642 | + | 0.0131217i | ||||
\(636\) | −24897.0 | −1.55225 | ||||||||
\(637\) | −917.609 | − | 23021.8i | −0.0570753 | − | 1.43196i | ||||
\(638\) | 10404.5 | 0.645641 | ||||||||
\(639\) | −5466.65 | + | 6854.96i | −0.338431 | + | 0.424379i | ||||
\(640\) | 1751.53 | + | 843.494i | 0.108180 | + | 0.0520969i | ||||
\(641\) | −342.669 | − | 1501.33i | −0.0211148 | − | 0.0925101i | 0.963273 | − | 0.268525i | \(-0.0865363\pi\) |
−0.984387 | + | 0.176015i | \(0.943679\pi\) | |||||||
\(642\) | −6132.53 | − | 2953.27i | −0.376997 | − | 0.181552i | ||||
\(643\) | −1555.54 | + | 749.107i | −0.0954034 | + | 0.0459438i | −0.480977 | − | 0.876733i | \(-0.659718\pi\) |
0.385574 | + | 0.922677i | \(0.374004\pi\) | |||||||
\(644\) | −1798.80 | + | 1871.92i | −0.110066 | + | 0.114541i | ||||
\(645\) | 1893.13 | + | 911.683i | 0.115569 | + | 0.0556550i | ||||
\(646\) | −578.791 | − | 725.780i | −0.0352511 | − | 0.0442035i | ||||
\(647\) | 2900.27 | − | 1396.70i | 0.176231 | − | 0.0848683i | −0.343688 | − | 0.939084i | \(-0.611676\pi\) |
0.519919 | + | 0.854216i | \(0.325962\pi\) | |||||||
\(648\) | 7271.90 | − | 9118.68i | 0.440845 | − | 0.552802i | ||||
\(649\) | −2026.40 | + | 8878.25i | −0.122563 | + | 0.536983i | ||||
\(650\) | −4309.87 | + | 5404.41i | −0.260072 | + | 0.326121i | ||||
\(651\) | −19547.7 | − | 1809.02i | −1.17686 | − | 0.108911i | ||||
\(652\) | −1180.07 | − | 1479.76i | −0.0708821 | − | 0.0888834i | ||||
\(653\) | 4967.66 | − | 2392.30i | 0.297702 | − | 0.143366i | −0.279070 | − | 0.960271i | \(-0.590026\pi\) |
0.576772 | + | 0.816905i | \(0.304312\pi\) | |||||||
\(654\) | −856.980 | + | 3754.67i | −0.0512394 | + | 0.224494i | ||||
\(655\) | 678.140 | 0.0404536 | ||||||||
\(656\) | 9250.26 | 0.550552 | ||||||||
\(657\) | 1249.65 | − | 5475.09i | 0.0742064 | − | 0.325119i | ||||
\(658\) | 2094.39 | + | 3190.32i | 0.124085 | + | 0.189015i | ||||
\(659\) | −1123.04 | − | 4920.35i | −0.0663844 | − | 0.290849i | 0.930829 | − | 0.365456i | \(-0.119087\pi\) |
−0.997213 | + | 0.0746069i | \(0.976230\pi\) | |||||||
\(660\) | −810.757 | − | 3552.16i | −0.0478162 | − | 0.209496i | ||||
\(661\) | 15497.5 | + | 19433.2i | 0.911925 | + | 1.14352i | 0.989209 | + | 0.146509i | \(0.0468038\pi\) |
−0.0772839 | + | 0.997009i | \(0.524625\pi\) | |||||||
\(662\) | −5518.46 | − | 6919.93i | −0.323990 | − | 0.406270i | ||||
\(663\) | 1814.35 | + | 7949.17i | 0.106280 | + | 0.465642i | ||||
\(664\) | −1179.40 | − | 5167.28i | −0.0689300 | − | 0.302002i | ||||
\(665\) | −1547.26 | − | 143.189i | −0.0902256 | − | 0.00834983i | ||||
\(666\) | −629.874 | + | 2759.66i | −0.0366473 | + | 0.160562i | ||||
\(667\) | 4391.50 | 0.254932 | ||||||||
\(668\) | 4132.05 | 0.239332 | ||||||||
\(669\) | 7076.72 | − | 31005.1i | 0.408971 | − | 1.79182i | ||||
\(670\) | −165.873 | + | 79.8801i | −0.00956451 | + | 0.00460603i | ||||
\(671\) | −15357.0 | − | 19257.1i | −0.883535 | − | 1.10792i | ||||
\(672\) | 5267.08 | − | 16072.4i | 0.302354 | − | 0.922629i | ||||
\(673\) | 1677.84 | − | 2103.94i | 0.0961010 | − | 0.120507i | −0.731456 | − | 0.681889i | \(-0.761159\pi\) |
0.827557 | + | 0.561382i | \(0.189730\pi\) | |||||||
\(674\) | −1539.27 | + | 6744.00i | −0.0879683 | + | 0.385414i | ||||
\(675\) | −6315.07 | + | 7918.85i | −0.360100 | + | 0.451550i | ||||
\(676\) | 15225.5 | − | 7332.19i | 0.866264 | − | 0.417171i | ||||
\(677\) | −1177.99 | − | 1477.16i | −0.0668745 | − | 0.0838579i | 0.747269 | − | 0.664522i | \(-0.231365\pi\) |
−0.814144 | + | 0.580664i | \(0.802793\pi\) | |||||||
\(678\) | 1934.05 | + | 931.390i | 0.109553 | + | 0.0527579i | ||||
\(679\) | −18421.0 | + | 6860.58i | −1.04114 | + | 0.387754i | ||||
\(680\) | 312.417 | − | 150.452i | 0.0176186 | − | 0.00848467i | ||||
\(681\) | 11155.3 | + | 5372.13i | 0.627714 | + | 0.302291i | ||||
\(682\) | −1672.74 | − | 7328.76i | −0.0939188 | − | 0.411485i | ||||
\(683\) | 8673.07 | + | 4176.73i | 0.485894 | + | 0.233994i | 0.660759 | − | 0.750598i | \(-0.270235\pi\) |
−0.174865 | + | 0.984592i | \(0.555949\pi\) | |||||||
\(684\) | 3777.69 | − | 4737.07i | 0.211175 | − | 0.264805i | ||||
\(685\) | 744.127 | 0.0415060 | ||||||||
\(686\) | 2052.61 | + | 4904.64i | 0.114241 | + | 0.272974i | ||||
\(687\) | −32460.0 | −1.80266 | ||||||||
\(688\) | 6802.55 | − | 8530.13i | 0.376955 | − | 0.472686i | ||||
\(689\) | 32175.0 | + | 15494.7i | 1.77906 | + | 0.856749i | ||||
\(690\) | 32.8408 | + | 143.885i | 0.00181193 | + | 0.00793857i | ||||
\(691\) | −19468.2 | − | 9375.40i | −1.07179 | − | 0.516146i | −0.187106 | − | 0.982340i | \(-0.559911\pi\) |
−0.884683 | + | 0.466194i | \(0.845625\pi\) | |||||||
\(692\) | 22200.3 | − | 10691.1i | 1.21955 | − | 0.587304i | ||||
\(693\) | −13359.0 | + | 4975.31i | −0.732272 | + | 0.272722i | ||||
\(694\) | −4648.02 | − | 2238.37i | −0.254231 | − | 0.122431i | ||||
\(695\) | 1717.37 | + | 2153.51i | 0.0937317 | + | 0.117536i | ||||
\(696\) | −16926.3 | + | 8151.29i | −0.921826 | + | 0.443928i | ||||
\(697\) | 2288.70 | − | 2869.94i | 0.124377 | − | 0.155964i | ||||
\(698\) | 287.443 | − | 1259.37i | 0.0155872 | − | 0.0682921i | ||||
\(699\) | 27221.4 | − | 34134.5i | 1.47297 | − | 1.84705i | ||||
\(700\) | −5176.20 | + | 15795.1i | −0.279488 | + | 0.852854i | ||||
\(701\) | 8988.48 | + | 11271.2i | 0.484294 | + | 0.607286i | 0.962606 | − | 0.270904i | \(-0.0873226\pi\) |
−0.478312 | + | 0.878190i | \(0.658751\pi\) | |||||||
\(702\) | −4172.78 | + | 2009.51i | −0.224347 | + | 0.108040i | ||||
\(703\) | 3115.64 | − | 13650.5i | 0.167153 | − | 0.732344i | ||||
\(704\) | −14257.8 | −0.763297 | ||||||||
\(705\) | −2260.67 | −0.120769 | ||||||||
\(706\) | 1784.11 | − | 7816.71i | 0.0951076 | − | 0.416694i | ||||
\(707\) | −36650.9 | − | 3391.82i | −1.94964 | − | 0.180428i | ||||
\(708\) | −1745.71 | − | 7648.45i | −0.0926663 | − | 0.405998i | ||||
\(709\) | −219.629 | − | 962.259i | −0.0116338 | − | 0.0509709i | 0.968778 | − | 0.247930i | \(-0.0797504\pi\) |
−0.980412 | + | 0.196959i | \(0.936893\pi\) | |||||||
\(710\) | −462.481 | − | 579.933i | −0.0244459 | − | 0.0306542i | ||||
\(711\) | −8665.95 | − | 10866.8i | −0.457101 | − | 0.573186i | ||||
\(712\) | 3806.99 | + | 16679.5i | 0.200383 | + | 0.877936i | ||||
\(713\) | −706.025 | − | 3093.30i | −0.0370839 | − | 0.162475i | ||||
\(714\) | −1032.59 | − | 1572.91i | −0.0541227 | − | 0.0824437i | ||||
\(715\) | −1162.93 | + | 5095.12i | −0.0608266 | + | 0.266499i | ||||
\(716\) | −19983.6 | −1.04305 | ||||||||
\(717\) | 16681.5 | 0.868873 | ||||||||
\(718\) | −2014.39 | + | 8825.63i | −0.104703 | + | 0.458732i | ||||
\(719\) | −972.630 | + | 468.394i | −0.0504492 | + | 0.0242951i | −0.458938 | − | 0.888468i | \(-0.651770\pi\) |
0.408489 | + | 0.912763i | \(0.366056\pi\) | |||||||
\(720\) | 602.435 | + | 755.430i | 0.0311826 | + | 0.0391017i | ||||
\(721\) | 17248.2 | + | 1596.22i | 0.890924 | + | 0.0824496i | ||||
\(722\) | −1786.04 | + | 2239.62i | −0.0920630 | + | 0.115443i | ||||
\(723\) | −7945.22 | + | 34810.3i | −0.408694 | + | 1.79061i | ||||
\(724\) | −15688.3 | + | 19672.5i | −0.805321 | + | 1.00984i | ||||
\(725\) | 25332.2 | − | 12199.3i | 1.29768 | − | 0.624927i | ||||
\(726\) | −5437.14 | − | 6817.96i | −0.277949 | − | 0.348538i | ||||
\(727\) | 15295.5 | + | 7365.92i | 0.780300 | + | 0.375773i | 0.781243 | − | 0.624227i | \(-0.214586\pi\) |
−0.000942846 | 1.00000i | \(0.500300\pi\) | ||||||||
\(728\) | −11037.8 | + | 11486.6i | −0.561937 | + | 0.584781i | ||||
\(729\) | −1236.96 | + | 595.687i | −0.0628439 | + | 0.0302640i | ||||
\(730\) | 428.057 | + | 206.141i | 0.0217029 | + | 0.0104516i | ||||
\(731\) | −963.427 | − | 4221.05i | −0.0487464 | − | 0.213572i | ||||
\(732\) | 19117.6 | + | 9206.56i | 0.965311 | + | 0.464869i | ||||
\(733\) | 5973.64 | − | 7490.71i | 0.301012 | − | 0.377457i | −0.608205 | − | 0.793780i | \(-0.708110\pi\) |
0.909217 | + | 0.416323i | \(0.136682\pi\) | |||||||
\(734\) | −8681.56 | −0.436570 | ||||||||
\(735\) | −3096.01 | − | 577.984i | −0.155371 | − | 0.0290058i | ||||
\(736\) | 2733.59 | 0.136904 | ||||||||
\(737\) | 5208.97 | − | 6531.84i | 0.260346 | − | 0.326463i | ||||
\(738\) | −2071.60 | − | 997.632i | −0.103329 | − | 0.0497606i | ||||
\(739\) | −709.526 | − | 3108.64i | −0.0353185 | − | 0.154740i | 0.954194 | − | 0.299189i | \(-0.0967162\pi\) |
−0.989512 | + | 0.144449i | \(0.953859\pi\) | |||||||
\(740\) | 2248.19 | + | 1082.67i | 0.111683 | + | 0.0537836i | ||||
\(741\) | −22760.9 | + | 10961.1i | −1.12840 | + | 0.543408i | ||||
\(742\) | −8205.92 | − | 759.408i | −0.405995 | − | 0.0375724i | ||||
\(743\) | −6526.63 | − | 3143.06i | −0.322260 | − | 0.155192i | 0.265759 | − | 0.964040i | \(-0.414377\pi\) |
−0.588018 | + | 0.808847i | \(0.700092\pi\) | |||||||
\(744\) | 8462.89 | + | 10612.1i | 0.417022 | + | 0.522929i | ||||
\(745\) | −4229.14 | + | 2036.64i | −0.207978 | + | 0.100157i | ||||
\(746\) | −566.050 | + | 709.805i | −0.0277809 | + | 0.0348362i | ||||
\(747\) | 1304.13 | − | 5713.78i | 0.0638765 | − | 0.279861i | ||||
\(748\) | −4680.87 | + | 5869.63i | −0.228810 | + | 0.286918i | ||||
\(749\) | 20122.8 | + | 12091.8i | 0.981670 | + | 0.589884i | ||||
\(750\) | 1188.11 | + | 1489.84i | 0.0578447 | + | 0.0725349i | ||||
\(751\) | −466.852 | + | 224.824i | −0.0226840 | + | 0.0109240i | −0.445191 | − | 0.895435i | \(-0.646864\pi\) |
0.422507 | + | 0.906359i | \(0.361150\pi\) | |||||||
\(752\) | −2612.04 | + | 11444.1i | −0.126664 | + | 0.554952i | ||||
\(753\) | 7255.88 | 0.351154 | ||||||||
\(754\) | 12856.7 | 0.620974 | ||||||||
\(755\) | 696.425 | − | 3051.24i | 0.0335702 | − | 0.147081i | ||||
\(756\) | −7716.37 | + | 8030.06i | −0.371219 | + | 0.386310i | ||||
\(757\) | 5596.74 | + | 24520.9i | 0.268715 | + | 1.17732i | 0.911510 | + | 0.411278i | \(0.134918\pi\) |
−0.642795 | + | 0.766038i | \(0.722225\pi\) | |||||||
\(758\) | −1022.68 | − | 4480.65i | −0.0490044 | − | 0.214703i | ||||
\(759\) | −4175.71 | − | 5236.17i | −0.199695 | − | 0.250410i | ||||
\(760\) | 669.861 | + | 839.979i | 0.0319716 | + | 0.0400911i | ||||
\(761\) | −1030.95 | − | 4516.90i | −0.0491090 | − | 0.215161i | 0.944420 | − | 0.328742i | \(-0.106625\pi\) |
−0.993529 | + | 0.113582i | \(0.963768\pi\) | |||||||
\(762\) | −224.205 | − | 982.306i | −0.0106589 | − | 0.0466997i | ||||
\(763\) | 4136.54 | − | 12622.6i | 0.196269 | − | 0.598910i | ||||
\(764\) | −2341.15 | + | 10257.3i | −0.110864 | + | 0.485726i | ||||
\(765\) | 383.431 | 0.0181215 | ||||||||
\(766\) | 3423.12 | 0.161465 | ||||||||
\(767\) | −2504.00 | + | 10970.7i | −0.117880 |