Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,3,Mod(3,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.l (of order \(32\), degree \(16\), 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: | \(3.48774738381\) |
Analytic rank: | \(0\) |
Dimension: | \(496\) |
Relative dimension: | \(31\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 43.6 | ||
Character | \(\chi\) | \(=\) | 128.43 |
Dual form | 128.3.l.a.3.6 |
$q$-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 \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{29}{32}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.77728 | − | 0.917214i | −0.888639 | − | 0.458607i | ||||
\(3\) | −4.35347 | − | 3.57280i | −1.45116 | − | 1.19093i | −0.944380 | − | 0.328857i | \(-0.893337\pi\) |
−0.506777 | − | 0.862077i | \(-0.669163\pi\) | |||||||
\(4\) | 2.31744 | + | 3.26029i | 0.579360 | + | 0.815072i | ||||
\(5\) | −6.55995 | + | 1.98994i | −1.31199 | + | 0.397988i | −0.867340 | − | 0.497716i | \(-0.834172\pi\) |
−0.444651 | + | 0.895704i | \(0.646672\pi\) | |||||||
\(6\) | 4.46031 | + | 10.3429i | 0.743385 | + | 1.72382i | ||||
\(7\) | −0.342193 | + | 1.72032i | −0.0488847 | + | 0.245760i | −0.997500 | − | 0.0706730i | \(-0.977485\pi\) |
0.948615 | + | 0.316433i | \(0.102485\pi\) | |||||||
\(8\) | −1.12835 | − | 7.92003i | −0.141044 | − | 0.990003i | ||||
\(9\) | 4.43199 | + | 22.2811i | 0.492443 | + | 2.47568i | ||||
\(10\) | 13.4841 | + | 2.48020i | 1.34841 | + | 0.248020i | ||||
\(11\) | 1.65213 | − | 16.7744i | 0.150194 | − | 1.52494i | −0.564457 | − | 0.825462i | \(-0.690914\pi\) |
0.714651 | − | 0.699481i | \(-0.246586\pi\) | |||||||
\(12\) | 1.55946 | − | 22.4733i | 0.129955 | − | 1.87278i | ||||
\(13\) | 1.07066 | − | 3.52949i | 0.0823583 | − | 0.271499i | −0.906084 | − | 0.423099i | \(-0.860942\pi\) |
0.988442 | + | 0.151600i | \(0.0484424\pi\) | |||||||
\(14\) | 2.18607 | − | 2.74363i | 0.156148 | − | 0.195973i | ||||
\(15\) | 35.6682 | + | 14.7743i | 2.37788 | + | 0.984951i | ||||
\(16\) | −5.25896 | + | 15.1110i | −0.328685 | + | 0.944440i | ||||
\(17\) | −1.32056 | − | 3.18812i | −0.0776800 | − | 0.187536i | 0.880269 | − | 0.474475i | \(-0.157362\pi\) |
−0.957949 | + | 0.286939i | \(0.907362\pi\) | |||||||
\(18\) | 12.5597 | − | 43.6648i | 0.697759 | − | 2.42582i | ||||
\(19\) | 10.9489 | + | 20.4839i | 0.576257 | + | 1.07810i | 0.986133 | + | 0.165959i | \(0.0530720\pi\) |
−0.409876 | + | 0.912141i | \(0.634428\pi\) | |||||||
\(20\) | −21.6901 | − | 16.7758i | −1.08450 | − | 0.838789i | ||||
\(21\) | 7.63609 | − | 6.26678i | 0.363623 | − | 0.298418i | ||||
\(22\) | −18.3220 | + | 28.2974i | −0.832818 | + | 1.28625i | ||||
\(23\) | 18.6476 | + | 12.4599i | 0.810766 | + | 0.541737i | 0.890449 | − | 0.455084i | \(-0.150391\pi\) |
−0.0796825 | + | 0.996820i | \(0.525391\pi\) | |||||||
\(24\) | −23.3844 | + | 38.5110i | −0.974351 | + | 1.60462i | ||||
\(25\) | 18.2864 | − | 12.2186i | 0.731456 | − | 0.488743i | ||||
\(26\) | −5.14015 | + | 5.29086i | −0.197698 | + | 0.203495i | ||||
\(27\) | 36.4180 | − | 68.1332i | 1.34881 | − | 2.52345i | ||||
\(28\) | −6.40175 | + | 2.87109i | −0.228634 | + | 0.102539i | ||||
\(29\) | 4.01692 | + | 40.7844i | 0.138514 | + | 1.40636i | 0.773481 | + | 0.633820i | \(0.218514\pi\) |
−0.634966 | + | 0.772540i | \(0.718986\pi\) | |||||||
\(30\) | −49.8412 | − | 58.9734i | −1.66137 | − | 1.96578i | ||||
\(31\) | −20.9177 | + | 20.9177i | −0.674764 | + | 0.674764i | −0.958811 | − | 0.284046i | \(-0.908323\pi\) |
0.284046 | + | 0.958811i | \(0.408323\pi\) | |||||||
\(32\) | 23.2067 | − | 22.0329i | 0.725209 | − | 0.688529i | ||||
\(33\) | −67.1240 | + | 67.1240i | −2.03406 | + | 2.03406i | ||||
\(34\) | −0.577179 | + | 6.87741i | −0.0169758 | + | 0.202277i | ||||
\(35\) | −1.17856 | − | 11.9662i | −0.0336733 | − | 0.341891i | ||||
\(36\) | −62.3720 | + | 66.0846i | −1.73255 | + | 1.83568i | ||||
\(37\) | −12.4189 | + | 23.2341i | −0.335645 | + | 0.627948i | −0.991962 | − | 0.126537i | \(-0.959614\pi\) |
0.656316 | + | 0.754486i | \(0.272114\pi\) | |||||||
\(38\) | −0.671085 | − | 46.4481i | −0.0176601 | − | 1.22232i | ||||
\(39\) | −17.2712 | + | 11.5403i | −0.442852 | + | 0.295904i | ||||
\(40\) | 23.1623 | + | 49.7097i | 0.579058 | + | 1.24274i | ||||
\(41\) | −17.4220 | − | 11.6410i | −0.424927 | − | 0.283927i | 0.324663 | − | 0.945830i | \(-0.394749\pi\) |
−0.749590 | + | 0.661903i | \(0.769749\pi\) | |||||||
\(42\) | −19.3194 | + | 4.13388i | −0.459987 | + | 0.0984258i | ||||
\(43\) | 36.4241 | − | 29.8925i | 0.847071 | − | 0.695173i | −0.107161 | − | 0.994242i | \(-0.534176\pi\) |
0.954232 | + | 0.299068i | \(0.0966759\pi\) | |||||||
\(44\) | 58.5180 | − | 33.4872i | 1.32996 | − | 0.761072i | ||||
\(45\) | −73.4117 | − | 137.344i | −1.63137 | − | 3.05208i | ||||
\(46\) | −21.7136 | − | 39.2486i | −0.472035 | − | 0.853231i | ||||
\(47\) | −12.8560 | − | 31.0372i | −0.273532 | − | 0.660365i | 0.726097 | − | 0.687592i | \(-0.241332\pi\) |
−0.999629 | + | 0.0272271i | \(0.991332\pi\) | |||||||
\(48\) | 76.8834 | − | 46.9962i | 1.60174 | − | 0.979088i | ||||
\(49\) | 42.4277 | + | 17.5741i | 0.865871 | + | 0.358656i | ||||
\(50\) | −43.7071 | + | 4.94329i | −0.874141 | + | 0.0988657i | ||||
\(51\) | −5.64148 | + | 18.5975i | −0.110617 | + | 0.364656i | ||||
\(52\) | 13.9883 | − | 4.68872i | 0.269006 | − | 0.0901676i | ||||
\(53\) | −5.83347 | + | 59.2282i | −0.110065 | + | 1.11751i | 0.768487 | + | 0.639866i | \(0.221010\pi\) |
−0.878552 | + | 0.477647i | \(0.841490\pi\) | |||||||
\(54\) | −127.218 | + | 87.6886i | −2.35588 | + | 1.62386i | ||||
\(55\) | 22.5421 | + | 113.327i | 0.409856 | + | 2.06049i | ||||
\(56\) | 14.0111 | + | 0.769050i | 0.250198 | + | 0.0137330i | ||||
\(57\) | 25.5193 | − | 128.294i | 0.447707 | − | 2.25078i | ||||
\(58\) | 30.2689 | − | 76.1697i | 0.521877 | − | 1.31327i | ||||
\(59\) | −73.1459 | + | 22.1886i | −1.23976 | + | 0.376078i | −0.841029 | − | 0.540990i | \(-0.818050\pi\) |
−0.398733 | + | 0.917067i | \(0.630550\pi\) | |||||||
\(60\) | 34.4906 | + | 150.527i | 0.574843 | + | 2.50879i | ||||
\(61\) | 23.6854 | + | 19.4381i | 0.388285 | + | 0.318657i | 0.808202 | − | 0.588905i | \(-0.200441\pi\) |
−0.419917 | + | 0.907562i | \(0.637941\pi\) | |||||||
\(62\) | 56.3626 | − | 17.9906i | 0.909074 | − | 0.290171i | ||||
\(63\) | −39.8472 | −0.632496 | ||||||||
\(64\) | −61.4536 | + | 17.8732i | −0.960213 | + | 0.279268i | ||||
\(65\) | 25.2838i | 0.388982i | ||||||||
\(66\) | 180.865 | − | 57.7310i | 2.74038 | − | 0.874713i | ||||
\(67\) | −15.2193 | + | 18.5447i | −0.227153 | + | 0.276787i | −0.874098 | − | 0.485750i | \(-0.838547\pi\) |
0.646944 | + | 0.762537i | \(0.276047\pi\) | |||||||
\(68\) | 7.33386 | − | 11.6937i | 0.107851 | − | 0.171966i | ||||
\(69\) | −36.6650 | − | 120.868i | −0.531377 | − | 1.75171i | ||||
\(70\) | −8.88090 | + | 22.3482i | −0.126870 | + | 0.319260i | ||||
\(71\) | 102.045 | + | 20.2981i | 1.43726 | + | 0.285888i | 0.851396 | − | 0.524523i | \(-0.175756\pi\) |
0.585861 | + | 0.810412i | \(0.300756\pi\) | |||||||
\(72\) | 171.466 | − | 60.2424i | 2.38147 | − | 0.836700i | ||||
\(73\) | 32.6721 | − | 6.49889i | 0.447563 | − | 0.0890259i | 0.0338373 | − | 0.999427i | \(-0.489227\pi\) |
0.413726 | + | 0.910401i | \(0.364227\pi\) | |||||||
\(74\) | 43.3824 | − | 29.9027i | 0.586249 | − | 0.404090i | ||||
\(75\) | −123.264 | − | 12.1404i | −1.64352 | − | 0.161872i | ||||
\(76\) | −41.4101 | + | 83.1667i | −0.544870 | + | 1.09430i | ||||
\(77\) | 28.2920 | + | 8.58228i | 0.367428 | + | 0.111458i | ||||
\(78\) | 41.2807 | − | 4.66886i | 0.529240 | − | 0.0598572i | ||||
\(79\) | 12.5226 | − | 30.2321i | 0.158513 | − | 0.382685i | −0.824591 | − | 0.565729i | \(-0.808595\pi\) |
0.983105 | + | 0.183044i | \(0.0585949\pi\) | |||||||
\(80\) | 4.42848 | − | 109.593i | 0.0553559 | − | 1.36991i | ||||
\(81\) | −213.076 | + | 88.2589i | −2.63057 | + | 1.08962i | ||||
\(82\) | 20.2865 | + | 36.6690i | 0.247396 | + | 0.447183i | ||||
\(83\) | −112.213 | + | 59.9792i | −1.35197 | + | 0.722641i | −0.978741 | − | 0.205099i | \(-0.934248\pi\) |
−0.373225 | + | 0.927741i | \(0.621748\pi\) | |||||||
\(84\) | 38.1277 | + | 10.3730i | 0.453901 | + | 0.123488i | ||||
\(85\) | 15.0070 | + | 18.2861i | 0.176553 | + | 0.215130i | ||||
\(86\) | −92.1535 | + | 19.7186i | −1.07155 | + | 0.229286i | ||||
\(87\) | 128.227 | − | 191.905i | 1.47388 | − | 2.20581i | ||||
\(88\) | −134.718 | + | 5.84249i | −1.53088 | + | 0.0663919i | ||||
\(89\) | 45.5953 | + | 68.2382i | 0.512307 | + | 0.766721i | 0.993972 | − | 0.109634i | \(-0.0349678\pi\) |
−0.481665 | + | 0.876355i | \(0.659968\pi\) | |||||||
\(90\) | 4.49959 | + | 311.432i | 0.0499955 | + | 3.46036i | ||||
\(91\) | 5.70548 | + | 3.04964i | 0.0626976 | + | 0.0335126i | ||||
\(92\) | 2.59171 | + | 89.6718i | 0.0281707 | + | 0.974693i | ||||
\(93\) | 165.799 | − | 16.3298i | 1.78279 | − | 0.175589i | ||||
\(94\) | −5.61899 | + | 66.9534i | −0.0597765 | + | 0.712270i | ||||
\(95\) | −112.586 | − | 112.586i | −1.18511 | − | 1.18511i | ||||
\(96\) | −179.749 | + | 13.0068i | −1.87238 | + | 0.135488i | ||||
\(97\) | −11.4769 | − | 11.4769i | −0.118319 | − | 0.118319i | 0.645468 | − | 0.763787i | \(-0.276662\pi\) |
−0.763787 | + | 0.645468i | \(0.776662\pi\) | |||||||
\(98\) | −59.2866 | − | 70.1494i | −0.604965 | − | 0.715810i | ||||
\(99\) | 381.074 | − | 37.5325i | 3.84923 | − | 0.379116i | ||||
\(100\) | 82.2137 | + | 31.3031i | 0.822137 | + | 0.313031i | ||||
\(101\) | 57.4950 | + | 30.7317i | 0.569258 | + | 0.304275i | 0.730801 | − | 0.682591i | \(-0.239147\pi\) |
−0.161543 | + | 0.986866i | \(0.551647\pi\) | |||||||
\(102\) | 27.0843 | − | 27.8784i | 0.265533 | − | 0.273318i | ||||
\(103\) | 6.89656 | + | 10.3214i | 0.0669569 | + | 0.100208i | 0.863437 | − | 0.504457i | \(-0.168307\pi\) |
−0.796480 | + | 0.604665i | \(0.793307\pi\) | |||||||
\(104\) | −29.1617 | − | 4.49714i | −0.280401 | − | 0.0432417i | ||||
\(105\) | −37.6219 | + | 56.3052i | −0.358304 | + | 0.536240i | ||||
\(106\) | 64.6926 | − | 99.9144i | 0.610307 | − | 0.942589i | ||||
\(107\) | −86.1056 | − | 104.920i | −0.804725 | − | 0.980560i | 0.195275 | − | 0.980749i | \(-0.437440\pi\) |
−1.00000 | 0.000188102i | \(0.999940\pi\) | ||||||||
\(108\) | 306.530 | − | 39.1615i | 2.83824 | − | 0.362606i | ||||
\(109\) | 45.4206 | − | 24.2778i | 0.416703 | − | 0.222732i | −0.249701 | − | 0.968323i | \(-0.580332\pi\) |
0.666404 | + | 0.745590i | \(0.267832\pi\) | |||||||
\(110\) | 63.8813 | − | 222.089i | 0.580739 | − | 2.01899i | ||||
\(111\) | 137.076 | − | 56.7787i | 1.23492 | − | 0.511520i | ||||
\(112\) | −24.1962 | − | 14.2180i | −0.216038 | − | 0.126946i | ||||
\(113\) | 3.18427 | − | 7.68751i | 0.0281794 | − | 0.0680310i | −0.909163 | − | 0.416439i | \(-0.863278\pi\) |
0.937343 | + | 0.348408i | \(0.113278\pi\) | |||||||
\(114\) | −163.028 | + | 204.608i | −1.43007 | + | 1.79481i | ||||
\(115\) | −147.122 | − | 44.6290i | −1.27932 | − | 0.388078i | ||||
\(116\) | −123.660 | + | 107.612i | −1.06603 | + | 0.927687i | ||||
\(117\) | 83.3860 | + | 8.21281i | 0.712701 | + | 0.0701949i | ||||
\(118\) | 150.352 | + | 27.6552i | 1.27417 | + | 0.234366i | ||||
\(119\) | 5.93647 | − | 1.18084i | 0.0498863 | − | 0.00992300i | ||||
\(120\) | 76.7662 | − | 299.164i | 0.639719 | − | 2.49303i | ||||
\(121\) | −159.975 | − | 31.8211i | −1.32211 | − | 0.262984i | ||||
\(122\) | −24.2666 | − | 56.2714i | −0.198907 | − | 0.461241i | ||||
\(123\) | 34.2552 | + | 112.924i | 0.278497 | + | 0.918083i | ||||
\(124\) | −116.673 | − | 19.7222i | −0.940913 | − | 0.159050i | ||||
\(125\) | 13.0776 | − | 15.9351i | 0.104621 | − | 0.127481i | ||||
\(126\) | 70.8197 | + | 36.5484i | 0.562061 | + | 0.290067i | ||||
\(127\) | 101.346i | 0.797998i | 0.916951 | + | 0.398999i | \(0.130642\pi\) | ||||
−0.916951 | + | 0.398999i | \(0.869358\pi\) | |||||||
\(128\) | 125.614 | + | 24.6005i | 0.981357 | + | 0.192192i | ||||
\(129\) | −265.371 | −2.05714 | ||||||||
\(130\) | 23.1907 | − | 44.9364i | 0.178390 | − | 0.345665i | ||||
\(131\) | −19.4866 | − | 15.9922i | −0.148753 | − | 0.122078i | 0.557074 | − | 0.830463i | \(-0.311924\pi\) |
−0.705826 | + | 0.708385i | \(0.749424\pi\) | |||||||
\(132\) | −374.400 | − | 63.2879i | −2.83636 | − | 0.479454i | ||||
\(133\) | −38.9855 | + | 11.8261i | −0.293124 | + | 0.0889183i | ||||
\(134\) | 44.0584 | − | 18.9998i | 0.328794 | − | 0.141790i | ||||
\(135\) | −103.319 | + | 519.420i | −0.765327 | + | 3.84756i | ||||
\(136\) | −23.7599 | + | 14.0562i | −0.174705 | + | 0.103354i | ||||
\(137\) | 34.0386 | + | 171.123i | 0.248457 | + | 1.24908i | 0.880464 | + | 0.474113i | \(0.157231\pi\) |
−0.632007 | + | 0.774963i | \(0.717769\pi\) | |||||||
\(138\) | −45.6981 | + | 248.446i | −0.331146 | + | 1.80033i | ||||
\(139\) | −0.659416 | + | 6.69517i | −0.00474400 | + | 0.0481667i | −0.997265 | − | 0.0739051i | \(-0.976454\pi\) |
0.992521 | + | 0.122072i | \(0.0389538\pi\) | |||||||
\(140\) | 36.2819 | − | 31.5733i | 0.259157 | − | 0.225524i | ||||
\(141\) | −54.9213 | + | 181.051i | −0.389513 | + | 1.28405i | ||||
\(142\) | −162.745 | − | 129.673i | −1.14609 | − | 0.913187i | ||||
\(143\) | −57.4361 | − | 23.7908i | −0.401651 | − | 0.166369i | ||||
\(144\) | −359.998 | − | 50.2035i | −2.49999 | − | 0.348636i | ||||
\(145\) | −107.509 | − | 259.551i | −0.741444 | − | 1.79000i | ||||
\(146\) | −64.0283 | − | 18.4170i | −0.438550 | − | 0.126144i | ||||
\(147\) | −121.919 | − | 228.094i | −0.829380 | − | 1.55166i | ||||
\(148\) | −104.530 | + | 13.3544i | −0.706283 | + | 0.0902327i | ||||
\(149\) | 68.5988 | − | 56.2976i | 0.460395 | − | 0.377836i | −0.375414 | − | 0.926857i | \(-0.622499\pi\) |
0.835808 | + | 0.549021i | \(0.184999\pi\) | |||||||
\(150\) | 207.939 | + | 134.636i | 1.38626 | + | 0.897575i | ||||
\(151\) | −166.915 | − | 111.529i | −1.10540 | − | 0.738605i | −0.137641 | − | 0.990482i | \(-0.543952\pi\) |
−0.967759 | + | 0.251877i | \(0.918952\pi\) | |||||||
\(152\) | 149.879 | − | 109.828i | 0.986046 | − | 0.722556i | ||||
\(153\) | 65.1820 | − | 43.5532i | 0.426026 | − | 0.284662i | ||||
\(154\) | −42.4109 | − | 41.2029i | −0.275396 | − | 0.267551i | ||||
\(155\) | 95.5941 | − | 178.844i | 0.616736 | − | 1.15383i | ||||
\(156\) | −77.6496 | − | 29.5653i | −0.497754 | − | 0.189521i | ||||
\(157\) | 25.4145 | + | 258.038i | 0.161876 | + | 1.64355i | 0.642254 | + | 0.766492i | \(0.277999\pi\) |
−0.480378 | + | 0.877062i | \(0.659501\pi\) | |||||||
\(158\) | −49.9854 | + | 42.2451i | −0.316363 | + | 0.267374i | ||||
\(159\) | 237.006 | − | 237.006i | 1.49061 | − | 1.49061i | ||||
\(160\) | −108.391 | + | 190.715i | −0.677441 | + | 1.19197i | ||||
\(161\) | −27.8162 | + | 27.8162i | −0.172771 | + | 0.172771i | ||||
\(162\) | 459.647 | + | 38.5754i | 2.83733 | + | 0.238120i | ||||
\(163\) | 8.44535 | + | 85.7470i | 0.0518119 | + | 0.526055i | 0.985702 | + | 0.168496i | \(0.0538910\pi\) |
−0.933890 | + | 0.357559i | \(0.883609\pi\) | |||||||
\(164\) | −2.42137 | − | 83.7781i | −0.0147645 | − | 0.510842i | ||||
\(165\) | 306.758 | − | 573.903i | 1.85914 | − | 3.47820i | ||||
\(166\) | 254.448 | − | 3.67628i | 1.53282 | − | 0.0221463i | ||||
\(167\) | −181.379 | + | 121.194i | −1.08610 | + | 0.725711i | −0.963758 | − | 0.266777i | \(-0.914041\pi\) |
−0.122345 | + | 0.992488i | \(0.539041\pi\) | |||||||
\(168\) | −58.2493 | − | 53.4069i | −0.346722 | − | 0.317898i | ||||
\(169\) | 129.207 | + | 86.3336i | 0.764541 | + | 0.510850i | ||||
\(170\) | −9.89936 | − | 46.2640i | −0.0582315 | − | 0.272141i | ||||
\(171\) | −407.879 | + | 334.738i | −2.38526 | + | 1.95753i | ||||
\(172\) | 181.869 | + | 49.4790i | 1.05738 | + | 0.287669i | ||||
\(173\) | −33.7720 | − | 63.1830i | −0.195214 | − | 0.365220i | 0.765202 | − | 0.643791i | \(-0.222639\pi\) |
−0.960416 | + | 0.278571i | \(0.910139\pi\) | |||||||
\(174\) | −403.914 | + | 223.458i | −2.32134 | + | 1.28424i | ||||
\(175\) | 14.7624 | + | 35.6396i | 0.0843566 | + | 0.203655i | ||||
\(176\) | 244.790 | + | 113.181i | 1.39085 | + | 0.643075i | ||||
\(177\) | 397.714 | + | 164.739i | 2.24697 | + | 0.930727i | ||||
\(178\) | −18.4466 | − | 163.099i | −0.103632 | − | 0.916286i | ||||
\(179\) | −80.8984 | + | 266.686i | −0.451946 | + | 1.48987i | 0.374701 | + | 0.927146i | \(0.377746\pi\) |
−0.826647 | + | 0.562721i | \(0.809754\pi\) | |||||||
\(180\) | 277.653 | − | 557.629i | 1.54252 | − | 3.09794i | ||||
\(181\) | 2.43462 | − | 24.7191i | 0.0134509 | − | 0.136570i | −0.986114 | − | 0.166071i | \(-0.946892\pi\) |
0.999565 | + | 0.0295013i | \(0.00939190\pi\) | |||||||
\(182\) | −7.34305 | − | 10.6532i | −0.0403464 | − | 0.0585341i | ||||
\(183\) | −33.6652 | − | 169.246i | −0.183963 | − | 0.924843i | ||||
\(184\) | 77.6420 | − | 161.749i | 0.421967 | − | 0.879070i | ||||
\(185\) | 35.2328 | − | 177.127i | 0.190448 | − | 0.957445i | ||||
\(186\) | −309.650 | − | 123.051i | −1.66478 | − | 0.661563i | ||||
\(187\) | −55.6604 | + | 16.8844i | −0.297649 | + | 0.0902909i | ||||
\(188\) | 71.3971 | − | 113.841i | 0.379772 | − | 0.605537i | ||||
\(189\) | 104.749 | + | 85.9653i | 0.554228 | + | 0.454843i | ||||
\(190\) | 96.8312 | + | 303.362i | 0.509638 | + | 1.59664i | ||||
\(191\) | 99.9901 | 0.523508 | 0.261754 | − | 0.965135i | \(-0.415699\pi\) | ||||
0.261754 | + | 0.965135i | \(0.415699\pi\) | |||||||
\(192\) | 331.394 | + | 141.751i | 1.72601 | + | 0.738288i | ||||
\(193\) | − | 13.4673i | − | 0.0697786i | −0.999391 | − | 0.0348893i | \(-0.988892\pi\) | ||
0.999391 | − | 0.0348893i | \(-0.0111079\pi\) | |||||||
\(194\) | 9.87090 | + | 30.9245i | 0.0508809 | + | 0.159405i | ||||
\(195\) | 90.3341 | − | 110.072i | 0.463252 | − | 0.564474i | ||||
\(196\) | 41.0268 | + | 179.053i | 0.209321 | + | 0.913538i | ||||
\(197\) | 104.986 | + | 346.092i | 0.532923 | + | 1.75681i | 0.646118 | + | 0.763238i | \(0.276391\pi\) |
−0.113195 | + | 0.993573i | \(0.536109\pi\) | |||||||
\(198\) | −711.700 | − | 282.821i | −3.59444 | − | 1.42839i | ||||
\(199\) | 169.848 | + | 33.7849i | 0.853509 | + | 0.169773i | 0.602409 | − | 0.798188i | \(-0.294208\pi\) |
0.251100 | + | 0.967961i | \(0.419208\pi\) | |||||||
\(200\) | −117.405 | − | 131.042i | −0.587025 | − | 0.655209i | ||||
\(201\) | 132.513 | − | 26.3585i | 0.659270 | − | 0.131137i | ||||
\(202\) | −73.9971 | − | 107.354i | −0.366322 | − | 0.531456i | ||||
\(203\) | −71.5369 | − | 7.04577i | −0.352398 | − | 0.0347082i | ||||
\(204\) | −73.7069 | + | 24.7056i | −0.361308 | + | 0.121106i | ||||
\(205\) | 137.453 | + | 41.6958i | 0.670500 | + | 0.203394i | ||||
\(206\) | −2.79015 | − | 24.6697i | −0.0135444 | − | 0.119756i | ||||
\(207\) | −194.975 | + | 470.712i | −0.941910 | + | 2.27397i | ||||
\(208\) | 47.7037 | + | 34.7402i | 0.229345 | + | 0.167020i | ||||
\(209\) | 361.694 | − | 149.819i | 1.73059 | − | 0.716835i | ||||
\(210\) | 118.508 | − | 65.5626i | 0.564326 | − | 0.312203i | ||||
\(211\) | 230.413 | − | 123.158i | 1.09200 | − | 0.583688i | 0.175810 | − | 0.984424i | \(-0.443746\pi\) |
0.916193 | + | 0.400736i | \(0.131246\pi\) | |||||||
\(212\) | −206.620 | + | 118.239i | −0.974621 | + | 0.557730i | ||||
\(213\) | −371.730 | − | 452.954i | −1.74521 | − | 2.12655i | ||||
\(214\) | 56.7996 | + | 265.449i | 0.265419 | + | 1.24042i | ||||
\(215\) | −179.456 | + | 268.575i | −0.834679 | + | 1.24919i | ||||
\(216\) | −580.709 | − | 211.553i | −2.68847 | − | 0.979412i | ||||
\(217\) | −28.8273 | − | 43.1430i | −0.132844 | − | 0.198816i | ||||
\(218\) | −102.993 | + | 1.48805i | −0.472445 | + | 0.00682592i | ||||
\(219\) | −165.456 | − | 88.4383i | −0.755508 | − | 0.403828i | ||||
\(220\) | −317.238 | + | 336.122i | −1.44199 | + | 1.52783i | ||||
\(221\) | −12.6663 | + | 1.24752i | −0.0573135 | + | 0.00564489i | ||||
\(222\) | −295.701 | − | 24.8163i | −1.33198 | − | 0.111785i | ||||
\(223\) | 32.7400 | + | 32.7400i | 0.146816 | + | 0.146816i | 0.776694 | − | 0.629878i | \(-0.216895\pi\) |
−0.629878 | + | 0.776694i | \(0.716895\pi\) | |||||||
\(224\) | 29.9625 | + | 47.4625i | 0.133761 | + | 0.211886i | ||||
\(225\) | 353.289 | + | 353.289i | 1.57017 | + | 1.57017i | ||||
\(226\) | −12.7104 | + | 10.7422i | −0.0562408 | + | 0.0475318i | ||||
\(227\) | 127.531 | − | 12.5607i | 0.561812 | − | 0.0553337i | 0.186875 | − | 0.982384i | \(-0.440164\pi\) |
0.374937 | + | 0.927050i | \(0.377664\pi\) | |||||||
\(228\) | 477.416 | − | 214.114i | 2.09393 | − | 0.939095i | ||||
\(229\) | −224.007 | − | 119.734i | −0.978199 | − | 0.522858i | −0.0968369 | − | 0.995300i | \(-0.530873\pi\) |
−0.881362 | + | 0.472442i | \(0.843373\pi\) | |||||||
\(230\) | 220.543 | + | 214.261i | 0.958881 | + | 0.931568i | ||||
\(231\) | −92.5055 | − | 138.444i | −0.400457 | − | 0.599326i | ||||
\(232\) | 318.481 | − | 77.8333i | 1.37276 | − | 0.335488i | ||||
\(233\) | −61.7339 | + | 92.3913i | −0.264952 | + | 0.396529i | −0.939962 | − | 0.341280i | \(-0.889140\pi\) |
0.675009 | + | 0.737809i | \(0.264140\pi\) | |||||||
\(234\) | −140.667 | − | 91.0793i | −0.601142 | − | 0.389228i | ||||
\(235\) | 146.097 | + | 178.020i | 0.621689 | + | 0.757530i | ||||
\(236\) | −241.852 | − | 187.056i | −1.02480 | − | 0.792611i | ||||
\(237\) | −162.530 | + | 86.8741i | −0.685780 | + | 0.366557i | ||||
\(238\) | −11.6338 | − | 3.34633i | −0.0488817 | − | 0.0140602i | ||||
\(239\) | 249.701 | − | 103.430i | 1.04477 | − | 0.432760i | 0.206750 | − | 0.978394i | \(-0.433711\pi\) |
0.838023 | + | 0.545634i | \(0.183711\pi\) | |||||||
\(240\) | −410.832 | + | 461.287i | −1.71180 | + | 1.92203i | ||||
\(241\) | 39.2370 | − | 94.7264i | 0.162809 | − | 0.393056i | −0.821330 | − | 0.570453i | \(-0.806768\pi\) |
0.984139 | + | 0.177397i | \(0.0567677\pi\) | |||||||
\(242\) | 255.134 | + | 203.286i | 1.05427 | + | 0.840027i | ||||
\(243\) | 577.592 | + | 175.210i | 2.37692 | + | 0.721031i | ||||
\(244\) | −8.48436 | + | 122.268i | −0.0347720 | + | 0.501097i | ||||
\(245\) | −313.295 | − | 30.8569i | −1.27876 | − | 0.125946i | ||||
\(246\) | 42.6946 | − | 232.117i | 0.173555 | − | 0.943566i | ||||
\(247\) | 84.0202 | − | 16.7127i | 0.340163 | − | 0.0676626i | ||||
\(248\) | 189.271 | + | 142.066i | 0.763190 | + | 0.572847i | ||||
\(249\) | 702.811 | + | 139.798i | 2.82253 | + | 0.561437i | ||||
\(250\) | −37.8584 | + | 16.3262i | −0.151434 | + | 0.0653046i | ||||
\(251\) | 87.3112 | + | 287.826i | 0.347853 | + | 1.14672i | 0.940082 | + | 0.340949i | \(0.110748\pi\) |
−0.592229 | + | 0.805770i | \(0.701752\pi\) | |||||||
\(252\) | −92.3435 | − | 129.914i | −0.366443 | − | 0.515530i | ||||
\(253\) | 239.816 | − | 292.217i | 0.947890 | − | 1.15501i | ||||
\(254\) | 92.9557 | − | 180.120i | 0.365967 | − | 0.709133i | ||||
\(255\) | − | 133.225i | − | 0.522450i | ||||||
\(256\) | −200.687 | − | 158.937i | −0.783932 | − | 0.620846i | ||||
\(257\) | −353.866 | −1.37691 | −0.688455 | − | 0.725279i | \(-0.741711\pi\) | ||||
−0.688455 | + | 0.725279i | \(0.741711\pi\) | |||||||
\(258\) | 471.638 | + | 243.402i | 1.82805 | + | 0.943418i | ||||
\(259\) | −35.7204 | − | 29.3150i | −0.137917 | − | 0.113185i | ||||
\(260\) | −82.4326 | + | 58.5937i | −0.317048 | + | 0.225360i | ||||
\(261\) | −890.919 | + | 270.257i | −3.41348 | + | 1.03547i | ||||
\(262\) | 19.9648 | + | 46.2960i | 0.0762016 | + | 0.176702i | ||||
\(263\) | −48.8138 | + | 245.404i | −0.185604 | + | 0.933093i | 0.769911 | + | 0.638151i | \(0.220300\pi\) |
−0.955515 | + | 0.294942i | \(0.904700\pi\) | |||||||
\(264\) | 607.364 | + | 455.885i | 2.30062 | + | 1.72684i | ||||
\(265\) | −79.5933 | − | 400.142i | −0.300352 | − | 1.50997i | ||||
\(266\) | 80.1352 | + | 14.7397i | 0.301260 | + | 0.0554125i | ||||
\(267\) | 45.3037 | − | 459.976i | 0.169677 | − | 1.72276i | ||||
\(268\) | −95.7309 | − | 6.64293i | −0.357205 | − | 0.0247871i | ||||
\(269\) | 21.9096 | − | 72.2261i | 0.0814482 | − | 0.268499i | −0.906753 | − | 0.421663i | \(-0.861446\pi\) |
0.988201 | + | 0.153165i | \(0.0489465\pi\) | |||||||
\(270\) | 660.046 | − | 828.389i | 2.44462 | − | 3.06811i | ||||
\(271\) | −461.216 | − | 191.042i | −1.70191 | − | 0.704952i | −0.701932 | − | 0.712244i | \(-0.747679\pi\) |
−0.999973 | + | 0.00729201i | \(0.997679\pi\) | |||||||
\(272\) | 55.1205 | − | 3.18887i | 0.202649 | − | 0.0117238i | ||||
\(273\) | −13.9429 | − | 33.6611i | −0.0510728 | − | 0.123301i | ||||
\(274\) | 96.4607 | − | 335.355i | 0.352046 | − | 1.22392i | ||||
\(275\) | −174.748 | − | 326.930i | −0.635446 | − | 1.18884i | ||||
\(276\) | 309.097 | − | 399.643i | 1.11991 | − | 1.44798i | ||||
\(277\) | 66.9515 | − | 54.9457i | 0.241702 | − | 0.198360i | −0.505741 | − | 0.862685i | \(-0.668781\pi\) |
0.747444 | + | 0.664325i | \(0.231281\pi\) | |||||||
\(278\) | 7.31287 | − | 11.2944i | 0.0263053 | − | 0.0406272i | ||||
\(279\) | −558.776 | − | 373.362i | −2.00278 | − | 1.33822i | ||||
\(280\) | −93.4425 | + | 22.8363i | −0.333723 | + | 0.0815583i | ||||
\(281\) | −170.163 | + | 113.699i | −0.605561 | + | 0.404623i | −0.820205 | − | 0.572069i | \(-0.806141\pi\) |
0.214644 | + | 0.976692i | \(0.431141\pi\) | |||||||
\(282\) | 263.673 | − | 271.404i | 0.935011 | − | 0.962426i | ||||
\(283\) | −57.5249 | + | 107.622i | −0.203268 | + | 0.380288i | −0.962814 | − | 0.270166i | \(-0.912921\pi\) |
0.759546 | + | 0.650454i | \(0.225421\pi\) | |||||||
\(284\) | 170.306 | + | 379.736i | 0.599669 | + | 1.33710i | ||||
\(285\) | 87.8924 | + | 892.387i | 0.308394 | + | 3.13118i | ||||
\(286\) | 80.2587 | + | 94.9641i | 0.280625 | + | 0.332042i | ||||
\(287\) | 25.9880 | − | 25.9880i | 0.0905505 | − | 0.0905505i | ||||
\(288\) | 593.770 | + | 419.421i | 2.06170 | + | 1.45632i | ||||
\(289\) | 195.934 | − | 195.934i | 0.677971 | − | 0.677971i | ||||
\(290\) | −46.9892 | + | 559.903i | −0.162032 | + | 1.93070i | ||||
\(291\) | 8.95969 | + | 90.9692i | 0.0307893 | + | 0.312609i | ||||
\(292\) | 96.9039 | + | 91.4597i | 0.331863 | + | 0.313218i | ||||
\(293\) | −197.993 | + | 370.419i | −0.675744 | + | 1.26423i | 0.277122 | + | 0.960835i | \(0.410619\pi\) |
−0.952866 | + | 0.303393i | \(0.901881\pi\) | |||||||
\(294\) | 7.47272 | + | 517.212i | 0.0254174 | + | 1.75923i | ||||
\(295\) | 435.680 | − | 291.112i | 1.47688 | − | 0.986821i | ||||
\(296\) | 198.027 | + | 72.1416i | 0.669012 | + | 0.243722i | ||||
\(297\) | −1082.73 | − | 723.454i | −3.64554 | − | 2.43587i | ||||
\(298\) | −173.556 | + | 37.1367i | −0.582403 | + | 0.124620i | ||||
\(299\) | 63.9425 | − | 52.4762i | 0.213854 | − | 0.175506i | ||||
\(300\) | −246.075 | − | 430.010i | −0.820250 | − | 1.43337i | ||||
\(301\) | 38.9605 | + | 72.8901i | 0.129437 | + | 0.242160i | ||||
\(302\) | 194.359 | + | 351.316i | 0.643573 | + | 1.16330i | ||||
\(303\) | −140.505 | − | 339.208i | −0.463711 | − | 1.11950i | ||||
\(304\) | −367.113 | + | 57.7248i | −1.20761 | + | 0.189884i | ||||
\(305\) | −194.056 | − | 80.3805i | −0.636248 | − | 0.263543i | ||||
\(306\) | −155.794 | + | 17.6204i | −0.509132 | + | 0.0575830i | ||||
\(307\) | 95.2749 | − | 314.079i | 0.310342 | − | 1.02306i | −0.653576 | − | 0.756861i | \(-0.726732\pi\) |
0.963918 | − | 0.266199i | \(-0.0857679\pi\) | |||||||
\(308\) | 37.5842 | + | 112.129i | 0.122027 | + | 0.364055i | ||||
\(309\) | 6.85245 | − | 69.5741i | 0.0221762 | − | 0.225159i | ||||
\(310\) | −333.936 | + | 230.175i | −1.07721 | + | 0.742502i | ||||
\(311\) | 13.9996 | + | 70.3809i | 0.0450149 | + | 0.226305i | 0.996744 | − | 0.0806351i | \(-0.0256948\pi\) |
−0.951729 | + | 0.306940i | \(0.900695\pi\) | |||||||
\(312\) | 110.887 | + | 123.767i | 0.355408 | + | 0.396690i | ||||
\(313\) | 65.5936 | − | 329.761i | 0.209564 | − | 1.05355i | −0.722531 | − | 0.691338i | \(-0.757021\pi\) |
0.932096 | − | 0.362213i | \(-0.117979\pi\) | |||||||
\(314\) | 191.507 | − | 481.916i | 0.609896 | − | 1.53476i | ||||
\(315\) | 261.396 | − | 79.2936i | 0.829829 | − | 0.251726i | ||||
\(316\) | 127.586 | − | 29.2339i | 0.403752 | − | 0.0925125i | ||||
\(317\) | 78.9480 | + | 64.7910i | 0.249047 | + | 0.204388i | 0.750632 | − | 0.660721i | \(-0.229749\pi\) |
−0.501584 | + | 0.865109i | \(0.667249\pi\) | |||||||
\(318\) | −638.612 | + | 203.841i | −2.00821 | + | 0.641009i | ||||
\(319\) | 690.770 | 2.16542 | ||||||||
\(320\) | 367.567 | − | 239.536i | 1.14865 | − | 0.748551i | ||||
\(321\) | 764.404i | 2.38132i | ||||||||
\(322\) | 74.9505 | − | 23.9237i | 0.232766 | − | 0.0742973i | ||||
\(323\) | 50.8464 | − | 61.9565i | 0.157419 | − | 0.191816i | ||||
\(324\) | −781.540 | − | 490.154i | −2.41216 | − | 1.51282i | ||||
\(325\) | −23.5468 | − | 77.6235i | −0.0724518 | − | 0.238842i | ||||
\(326\) | 63.6386 | − | 160.143i | 0.195210 | − | 0.491235i | ||||
\(327\) | −284.477 | − | 56.5861i | −0.869961 | − | 0.173046i | ||||
\(328\) | −72.5390 | + | 151.118i | −0.221155 | + | 0.460726i | ||||
\(329\) | 57.7931 | − | 11.4958i | 0.175663 | − | 0.0349415i | ||||
\(330\) | −1071.59 | + | 738.624i | −3.24723 | + | 2.23825i | ||||
\(331\) | 17.3922 | + | 1.71298i | 0.0525443 | + | 0.00517516i | 0.124255 | − | 0.992250i | \(-0.460346\pi\) |
−0.0717108 | + | 0.997425i | \(0.522846\pi\) | |||||||
\(332\) | −455.597 | − | 226.849i | −1.37228 | − | 0.683281i | ||||
\(333\) | −572.722 | − | 173.733i | −1.71988 | − | 0.521721i | ||||
\(334\) | 433.522 | − | 49.0315i | 1.29797 | − | 0.146801i | ||||
\(335\) | 62.9348 | − | 151.938i | 0.187865 | − | 0.453547i | ||||
\(336\) | 54.5396 | + | 148.346i | 0.162320 | + | 0.441506i | ||||
\(337\) | −342.021 | + | 141.670i | −1.01490 | + | 0.420385i | −0.827240 | − | 0.561849i | \(-0.810090\pi\) |
−0.187660 | + | 0.982234i | \(0.560090\pi\) | |||||||
\(338\) | −150.451 | − | 271.950i | −0.445122 | − | 0.804585i | ||||
\(339\) | −41.3286 | + | 22.0906i | −0.121913 | + | 0.0651639i | ||||
\(340\) | −24.8401 | + | 91.3039i | −0.0730590 | + | 0.268541i | ||||
\(341\) | 316.323 | + | 385.440i | 0.927632 | + | 1.13032i | ||||
\(342\) | 1031.94 | − | 220.810i | 3.01737 | − | 0.645643i | ||||
\(343\) | −92.5013 | + | 138.438i | −0.269683 | + | 0.403609i | ||||
\(344\) | −277.848 | − | 254.750i | −0.807698 | − | 0.740553i | ||||
\(345\) | 481.041 | + | 719.929i | 1.39432 | + | 2.08675i | ||||
\(346\) | 2.06997 | + | 143.270i | 0.00598258 | + | 0.414075i | ||||
\(347\) | −446.702 | − | 238.767i | −1.28733 | − | 0.688091i | −0.321409 | − | 0.946940i | \(-0.604157\pi\) |
−0.965918 | + | 0.258850i | \(0.916657\pi\) | |||||||
\(348\) | 922.826 | − | 26.6717i | 2.65180 | − | 0.0766427i | ||||
\(349\) | −222.582 | + | 21.9224i | −0.637771 | + | 0.0628149i | −0.411734 | − | 0.911304i | \(-0.635077\pi\) |
−0.226036 | + | 0.974119i | \(0.572577\pi\) | |||||||
\(350\) | 6.45222 | − | 76.8817i | 0.0184349 | − | 0.219662i | ||||
\(351\) | −201.484 | − | 201.484i | −0.574029 | − | 0.574029i | ||||
\(352\) | −331.248 | − | 425.679i | −0.941046 | − | 1.20932i | ||||
\(353\) | −37.7177 | − | 37.7177i | −0.106849 | − | 0.106849i | 0.651661 | − | 0.758510i | \(-0.274072\pi\) |
−0.758510 | + | 0.651661i | \(0.774072\pi\) | |||||||
\(354\) | −555.748 | − | 657.575i | −1.56991 | − | 1.85756i | ||||
\(355\) | −709.804 | + | 69.9096i | −1.99945 | + | 0.196928i | ||||
\(356\) | −116.812 | + | 306.792i | −0.328123 | + | 0.861774i | ||||
\(357\) | −30.0631 | − | 16.0691i | −0.0842105 | − | 0.0450114i | ||||
\(358\) | 388.387 | − | 399.775i | 1.08488 | − | 1.11669i | ||||
\(359\) | −79.3184 | − | 118.708i | −0.220943 | − | 0.330664i | 0.704395 | − | 0.709808i | \(-0.251218\pi\) |
−0.925338 | + | 0.379144i | \(0.876218\pi\) | |||||||
\(360\) | −1004.93 | + | 736.395i | −2.79148 | + | 2.04554i | ||||
\(361\) | −99.1518 | + | 148.391i | −0.274659 | + | 0.411056i | ||||
\(362\) | −26.9997 | + | 41.6997i | −0.0745849 | + | 0.115193i | ||||
\(363\) | 582.758 | + | 710.092i | 1.60539 | + | 1.95618i | ||||
\(364\) | 3.27938 | + | 25.6689i | 0.00900930 | + | 0.0705189i | ||||
\(365\) | −201.395 | + | 107.648i | −0.551768 | + | 0.294926i | ||||
\(366\) | −95.4026 | + | 331.676i | −0.260663 | + | 0.906218i | ||||
\(367\) | 30.4420 | − | 12.6095i | 0.0829482 | − | 0.0343583i | −0.340824 | − | 0.940127i | \(-0.610706\pi\) |
0.423772 | + | 0.905769i | \(0.360706\pi\) | |||||||
\(368\) | −286.350 | + | 216.259i | −0.778124 | + | 0.587659i | ||||
\(369\) | 182.161 | − | 439.775i | 0.493660 | − | 1.19180i | ||||
\(370\) | −225.082 | + | 282.489i | −0.608330 | + | 0.763483i | ||||
\(371\) | −99.8953 | − | 30.3029i | −0.269260 | − | 0.0816790i | ||||
\(372\) | 437.470 | + | 502.710i | 1.17599 | + | 1.35137i | ||||
\(373\) | −247.069 | − | 24.3341i | −0.662382 | − | 0.0652390i | −0.238761 | − | 0.971078i | \(-0.576741\pi\) |
−0.423621 | + | 0.905839i | \(0.639241\pi\) | |||||||
\(374\) | 114.411 | + | 21.0442i | 0.305911 | + | 0.0562679i | ||||
\(375\) | −113.866 | + | 22.6493i | −0.303642 | + | 0.0603982i | ||||
\(376\) | −231.309 | + | 136.841i | −0.615183 | + | 0.363938i | ||||
\(377\) | 148.249 | + | 29.4885i | 0.393233 | + | 0.0782189i | ||||
\(378\) | −107.320 | − | 248.861i | −0.283914 | − | 0.658364i | ||||
\(379\) | 36.4531 | + | 120.170i | 0.0961824 | + | 0.317071i | 0.991808 | − | 0.127738i | \(-0.0407716\pi\) |
−0.895626 | + | 0.444809i | \(0.853272\pi\) | |||||||
\(380\) | 106.152 | − | 627.973i | 0.279346 | − | 1.65256i | ||||
\(381\) | 362.088 | − | 441.206i | 0.950363 | − | 1.15802i | ||||
\(382\) | −177.710 | − | 91.7123i | −0.465210 | − | 0.240085i | ||||
\(383\) | 316.056i | 0.825212i | 0.910909 | + | 0.412606i | \(0.135381\pi\) | ||||
−0.910909 | + | 0.412606i | \(0.864619\pi\) | |||||||
\(384\) | −458.963 | − | 555.891i | −1.19522 | − | 1.44763i | ||||
\(385\) | −202.672 | −0.526421 | ||||||||
\(386\) | −12.3524 | + | 23.9351i | −0.0320009 | + | 0.0620080i | ||||
\(387\) | 827.468 | + | 679.085i | 2.13816 | + | 1.75474i | ||||
\(388\) | 10.8210 | − | 64.0151i | 0.0278892 | − | 0.164987i | ||||
\(389\) | 428.916 | − | 130.110i | 1.10261 | − | 0.334473i | 0.314035 | − | 0.949411i | \(-0.398319\pi\) |
0.788575 | + | 0.614938i | \(0.210819\pi\) | |||||||
\(390\) | −261.509 | + | 112.774i | −0.670535 | + | 0.289163i | ||||
\(391\) | 15.0984 | − | 75.9049i | 0.0386149 | − | 0.194130i | ||||
\(392\) | 91.3141 | − | 355.858i | 0.232944 | − | 0.907802i | ||||
\(393\) | 27.6972 | + | 139.243i | 0.0704764 | + | 0.354309i | ||||
\(394\) | 130.851 | − | 711.396i | 0.332109 | − | 1.80557i | ||||
\(395\) | −21.9873 | + | 223.241i | −0.0556640 | + | 0.565166i | ||||
\(396\) | 1005.48 | + | 1155.43i | 2.53910 | + | 2.91776i | ||||
\(397\) | 108.543 | − | 357.818i | 0.273408 | − | 0.901304i | −0.707481 | − | 0.706733i | \(-0.750168\pi\) |
0.980888 | − | 0.194572i | \(-0.0623316\pi\) | |||||||
\(398\) | −270.880 | − | 215.832i | −0.680602 | − | 0.542292i | ||||
\(399\) | 211.975 | + | 87.8028i | 0.531265 | + | 0.220057i | ||||
\(400\) | 88.4680 | + | 340.583i | 0.221170 | + | 0.851458i | ||||
\(401\) | −222.332 | − | 536.756i | −0.554443 | − | 1.33854i | −0.914111 | − | 0.405464i | \(-0.867110\pi\) |
0.359668 | − | 0.933080i | \(-0.382890\pi\) | |||||||
\(402\) | −259.690 | − | 74.6966i | −0.645994 | − | 0.185812i | ||||
\(403\) | 51.4330 | + | 96.2244i | 0.127625 | + | 0.238770i | ||||
\(404\) | 33.0469 | + | 258.669i | 0.0817992 | + | 0.640271i | ||||
\(405\) | 1222.14 | − | 1002.98i | 3.01762 | − | 2.47650i | ||||
\(406\) | 120.678 | + | 78.1369i | 0.297238 | + | 0.192455i | ||||
\(407\) | 369.220 | + | 246.705i | 0.907174 | + | 0.606154i | ||||
\(408\) | 153.658 | + | 23.6962i | 0.376613 | + | 0.0580789i | ||||
\(409\) | 211.095 | − | 141.049i | 0.516126 | − | 0.344864i | −0.270071 | − | 0.962840i | \(-0.587047\pi\) |
0.786197 | + | 0.617976i | \(0.212047\pi\) | |||||||
\(410\) | −206.048 | − | 200.178i | −0.502555 | − | 0.488240i | ||||
\(411\) | 463.204 | − | 866.594i | 1.12702 | − | 2.10850i | ||||
\(412\) | −17.6685 | + | 46.4041i | −0.0428847 | + | 0.112631i | ||||
\(413\) | −13.1414 | − | 133.427i | −0.0318195 | − | 0.323068i | ||||
\(414\) | 778.269 | − | 657.752i | 1.87988 | − | 1.58877i | ||||
\(415\) | 616.759 | − | 616.759i | 1.48617 | − | 1.48617i | ||||
\(416\) | −52.9185 | − | 105.497i | −0.127208 | − | 0.253600i | ||||
\(417\) | 26.7913 | − | 26.7913i | 0.0642476 | − | 0.0642476i | ||||
\(418\) | −780.247 | − | 65.4813i | −1.86662 | − | 0.156654i | ||||
\(419\) | 27.3203 | + | 277.388i | 0.0652035 | + | 0.662023i | 0.971124 | + | 0.238575i | \(0.0766803\pi\) |
−0.905921 | + | 0.423448i | \(0.860820\pi\) | |||||||
\(420\) | −270.757 | + | 7.82548i | −0.644661 | + | 0.0186321i | ||||
\(421\) | −247.335 | + | 462.731i | −0.587493 | + | 1.09912i | 0.396013 | + | 0.918245i | \(0.370394\pi\) |
−0.983506 | + | 0.180877i | \(0.942106\pi\) | |||||||
\(422\) | −522.470 | + | 7.54868i | −1.23808 | + | 0.0178879i | ||||
\(423\) | 634.564 | − | 424.002i | 1.50015 | − | 1.00237i | ||||
\(424\) | 475.671 | − | 20.6291i | 1.12187 | − | 0.0486534i | ||||
\(425\) | −63.1025 | − | 42.1638i | −0.148477 | − | 0.0992089i | ||||
\(426\) | 245.212 | + | 1145.98i | 0.575615 | + | 2.69010i | ||||
\(427\) | −41.5447 | + | 34.0949i | −0.0972944 | + | 0.0798475i | ||||
\(428\) | 142.525 | − | 523.875i | 0.333002 | − | 1.22401i | ||||
\(429\) | 165.047 | + | 308.780i | 0.384724 | + | 0.719768i | ||||
\(430\) | 565.284 | − | 312.733i | 1.31461 | − | 0.727286i | ||||
\(431\) | −184.234 | − | 444.781i | −0.427458 | − | 1.03197i | −0.980091 | − | 0.198550i | \(-0.936377\pi\) |
0.552633 | − | 0.833425i | \(-0.313623\pi\) | |||||||
\(432\) | 838.043 | + | 908.623i | 1.93991 | + | 2.10329i | ||||
\(433\) | −238.337 | − | 98.7226i | −0.550433 | − | 0.227997i | 0.0900931 | − | 0.995933i | \(-0.471284\pi\) |
−0.640526 | + | 0.767937i | \(0.721284\pi\) | |||||||
\(434\) | 11.6627 | + | 103.118i | 0.0268725 | + | 0.237599i | ||||
\(435\) | −459.284 | + | 1514.06i | −1.05582 | + | 3.48059i | ||||
\(436\) | 184.412 | + | 91.8220i | 0.422964 | + | 0.210601i | ||||
\(437\) | −51.0578 | + | 518.399i | −0.116837 | + | 1.18627i | ||||
\(438\) | 212.945 | + | 308.938i | 0.486176 | + | 0.705338i | ||||
\(439\) | 15.7101 | + | 78.9799i | 0.0357861 | + | 0.179909i | 0.994544 | − | 0.104314i | \(-0.0332646\pi\) |
−0.958758 | + | 0.284222i | \(0.908265\pi\) | |||||||
\(440\) | 872.116 | − | 306.407i | 1.98208 | − | 0.696379i | ||||
\(441\) | −203.532 | + | 1023.22i | −0.461524 | + | 2.32024i | ||||
\(442\) | 23.6558 | + | 9.40050i | 0.0535198 | + | 0.0212681i | ||||
\(443\) | −176.464 | + | 53.5299i | −0.398339 | + | 0.120835i | −0.483097 | − | 0.875567i | \(-0.660488\pi\) |
0.0847580 | + | 0.996402i | \(0.472988\pi\) | |||||||
\(444\) | 502.780 | + | 315.326i | 1.13239 | + | 0.710194i | ||||
\(445\) | −434.893 | − | 356.908i | −0.977288 | − | 0.802040i | ||||
\(446\) | −28.1585 | − | 88.2176i | −0.0631356 | − | 0.197797i | ||||
\(447\) | −499.783 | −1.11808 | ||||||||
\(448\) | −9.71857 | − | 111.836i | −0.0216932 | − | 0.249634i | ||||
\(449\) | − | 592.191i | − | 1.31891i | −0.751744 | − | 0.659455i | \(-0.770787\pi\) | ||
0.751744 | − | 0.659455i | \(-0.229213\pi\) | |||||||
\(450\) | −303.851 | − | 951.933i | −0.675225 | − | 2.11541i | ||||
\(451\) | −224.054 | + | 273.011i | −0.496795 | + | 0.605346i | ||||
\(452\) | 32.4428 | − | 7.43368i | 0.0717762 | − | 0.0164462i | ||||
\(453\) | 328.189 | + | 1081.90i | 0.724480 | + | 2.38829i | ||||
\(454\) | −238.180 | − | 94.6495i | −0.524625 | − | 0.208479i | ||||
\(455\) | −43.4963 | − | 8.65195i | −0.0955962 | − | 0.0190153i | ||||
\(456\) | −1044.89 | − | 57.3525i | −2.29142 | − | 0.125773i | ||||
\(457\) | 781.639 | − | 155.478i | 1.71037 | − | 0.340214i | 0.759666 | − | 0.650313i | \(-0.225362\pi\) |
0.950704 | + | 0.310100i | \(0.100362\pi\) | |||||||
\(458\) | 288.302 | + | 418.264i | 0.629479 | + | 0.913241i | ||||
\(459\) | −265.309 | − | 26.1306i | −0.578015 | − | 0.0569295i | ||||
\(460\) | −195.443 | − | 583.085i | −0.424876 | − | 1.26758i | ||||
\(461\) | 448.143 | + | 135.943i | 0.972111 | + | 0.294887i | 0.736107 | − | 0.676866i | \(-0.236662\pi\) |
0.236004 | + | 0.971752i | \(0.424162\pi\) | |||||||
\(462\) | 37.4251 | + | 330.901i | 0.0810067 | + | 0.716237i | ||||
\(463\) | −324.468 | + | 783.335i | −0.700795 | + | 1.69187i | 0.0210180 | + | 0.999779i | \(0.493309\pi\) |
−0.721813 | + | 0.692089i | \(0.756691\pi\) | |||||||
\(464\) | −637.420 | − | 153.784i | −1.37375 | − | 0.331431i | ||||
\(465\) | −1055.14 | + | 437.054i | −2.26912 | + | 0.939900i | ||||
\(466\) | 194.461 | − | 107.582i | 0.417298 | − | 0.230863i | ||||
\(467\) | 482.590 | − | 257.949i | 1.03338 | − | 0.552354i | 0.134669 | − | 0.990891i | \(-0.457003\pi\) |
0.898713 | + | 0.438536i | \(0.144503\pi\) | |||||||
\(468\) | 166.466 | + | 290.895i | 0.355696 | + | 0.621571i | ||||
\(469\) | −26.6950 | − | 32.5279i | −0.0569189 | − | 0.0693559i | ||||
\(470\) | −96.3729 | − | 450.393i | −0.205049 | − | 0.958282i | ||||
\(471\) | 811.277 | − | 1214.16i | 1.72246 | − | 2.57784i | ||||
\(472\) | 258.269 | + | 554.281i | 0.547179 | + | 1.17432i | ||||
\(473\) | −441.250 | − | 660.377i | −0.932875 | − | 1.39615i | ||||
\(474\) | 368.543 | − | 5.32474i | 0.777517 | − | 0.0112336i | ||||
\(475\) | 450.500 | + | 240.797i | 0.948421 | + | 0.506941i | ||||
\(476\) | 17.6073 | + | 16.6181i | 0.0369901 | + | 0.0349119i | ||||
\(477\) | −1345.52 | + | 132.522i | −2.82080 | + | 0.277825i | ||||
\(478\) | −538.655 | − | 45.2060i | −1.12689 | − | 0.0945733i | ||||
\(479\) | −23.9591 | − | 23.9591i | −0.0500190 | − | 0.0500190i | 0.681655 | − | 0.731674i | \(-0.261261\pi\) |
−0.731674 | + | 0.681655i | \(0.761261\pi\) | |||||||
\(480\) | 1153.26 | − | 443.014i | 2.40263 | − | 0.922946i | ||||
\(481\) | 68.7081 | + | 68.7081i | 0.142844 | + | 0.142844i | ||||
\(482\) | −156.619 | + | 132.367i | −0.324936 | + | 0.274619i | ||||
\(483\) | 220.479 | − | 21.7153i | 0.456478 | − | 0.0449591i | ||||
\(484\) | −266.987 | − | 595.309i | −0.551626 | − | 1.22998i | ||||
\(485\) | 98.1265 | + | 52.4497i | 0.202323 | + | 0.108144i | ||||
\(486\) | −865.836 | − | 841.173i | −1.78156 | − | 1.73081i | ||||
\(487\) | 212.376 | + | 317.844i | 0.436091 | + | 0.652656i | 0.982801 | − | 0.184665i | \(-0.0591201\pi\) |
−0.546710 | + | 0.837322i | \(0.684120\pi\) | |||||||
\(488\) | 127.225 | − | 209.522i | 0.260706 | − | 0.429348i | ||||
\(489\) | 269.591 | − | 403.471i | 0.551310 | − | 0.825094i | ||||
\(490\) | 528.510 | + | 342.200i | 1.07859 | + | 0.698367i | ||||
\(491\) | 138.973 | + | 169.339i | 0.283040 | + | 0.344885i | 0.895051 | − | 0.445964i | \(-0.147139\pi\) |
−0.612011 | + | 0.790849i | \(0.709639\pi\) | |||||||
\(492\) | −288.781 | + | 373.377i | −0.586954 | + | 0.758896i | ||||
\(493\) | 124.721 | − | 66.6647i | 0.252984 | − | 0.135223i | ||||
\(494\) | −164.656 | − | 47.3614i | −0.333313 | − | 0.0958734i | ||||
\(495\) | −2425.14 | + | 1004.53i | −4.89927 | + | 2.02935i | ||||
\(496\) | −206.083 | − | 426.093i | −0.415489 | − | 0.859059i | ||||
\(497\) | −69.8384 | + | 168.605i | −0.140520 | + | 0.339245i | ||||
\(498\) | −1120.87 | − | 893.087i | −2.25074 | − | 1.79335i | ||||
\(499\) | −13.4521 | − | 4.08066i | −0.0269582 | − | 0.00817768i | 0.276777 | − | 0.960934i | \(-0.410734\pi\) |
−0.303735 | + | 0.952757i | \(0.598234\pi\) | |||||||
\(500\) | 82.2596 | + | 5.70813i | 0.164519 | + | 0.0114163i | ||||
\(501\) | 1222.63 | + | 120.419i | 2.44038 | + | 0.240356i | ||||
\(502\) | 108.822 | − | 591.631i | 0.216777 | − | 1.17855i | ||||
\(503\) | 48.7659 | − | 9.70014i | 0.0969500 | − | 0.0192846i | −0.146377 | − | 0.989229i | \(-0.546761\pi\) |
0.243327 | + | 0.969944i | \(0.421761\pi\) | |||||||
\(504\) | 44.9617 | + | 315.591i | 0.0892098 | + | 0.626173i | ||||
\(505\) | −438.319 | − | 87.1871i | −0.867959 | − | 0.172648i | ||||
\(506\) | −694.245 | + | 299.388i | −1.37203 | + | 0.591676i | ||||
\(507\) | −254.048 | − | 837.483i | −0.501080 | − | 1.65184i | ||||
\(508\) | −330.416 | + | 234.863i | −0.650426 | + | 0.462328i | ||||
\(509\) | −222.285 | + | 270.855i | −0.436709 | + | 0.532131i | −0.944133 | − | 0.329565i | \(-0.893098\pi\) |
0.507424 | + | 0.861697i | \(0.330598\pi\) | |||||||
\(510\) | −122.196 | + | 236.777i | −0.239599 | + | 0.464270i | ||||
\(511\) | 58.4304i | 0.114345i | ||||||||
\(512\) | 210.897 | + | 466.547i | 0.411909 | + | 0.911225i | ||||
\(513\) | 1794.37 | 3.49780 | ||||||||
\(514\) | 628.918 | + | 324.570i | 1.22358 | + | 0.631460i | ||||
\(515\) | −65.7802 | − | 53.9844i | −0.127729 | − | 0.104824i | ||||
\(516\) | −614.981 | − | 865.186i | −1.19182 | − | 1.67672i | ||||
\(517\) | −541.869 | + | 164.374i | −1.04810 | + | 0.317938i | ||||
\(518\) | 36.5970 | + | 84.8642i | 0.0706507 | + | 0.163830i | ||||
\(519\) | −78.7148 | + | 395.726i | −0.151666 | + | 0.762478i | ||||
\(520\) | 200.249 | − | 28.5291i | 0.385093 | − | 0.0548636i | ||||
\(521\) | 9.93964 | + | 49.9699i | 0.0190780 | + | 0.0959116i | 0.989151 | − | 0.146901i | \(-0.0469299\pi\) |
−0.970073 | + | 0.242813i | \(0.921930\pi\) | |||||||
\(522\) | 1831.30 | + | 336.841i | 3.50823 | + | 0.645288i | ||||
\(523\) | −52.0235 | + | 528.203i | −0.0994712 | + | 1.00995i | 0.807815 | + | 0.589436i | \(0.200650\pi\) |
−0.907287 | + | 0.420513i | \(0.861850\pi\) | |||||||
\(524\) | 6.98031 | − | 100.593i | 0.0133212 | − | 0.191971i | ||||
\(525\) | 63.0655 | − | 207.899i | 0.120125 | − | 0.395998i | ||||
\(526\) | 311.843 | − | 391.378i | 0.592858 | − | 0.744064i | ||||
\(527\) | 94.3111 | + | 39.0649i | 0.178958 | + | 0.0741270i | ||||
\(528\) | −661.311 | − | 1367.32i | −1.25248 | − | 2.58961i | ||||
\(529\) | −9.95589 | − | 24.0356i | −0.0188202 | − | 0.0454360i | ||||
\(530\) | −225.557 | + | 784.168i | −0.425579 | + | 1.47956i | ||||
\(531\) | −818.568 | − | 1531.43i | −1.54156 | − | 2.88405i | ||||
\(532\) | −128.903 | − | 99.6977i | −0.242299 | − | 0.187402i | ||||
\(533\) | −59.7399 | + | 49.0272i | −0.112082 | + | 0.0919836i | ||||
\(534\) | −502.414 | + | 775.952i | −0.940849 | + | 1.45309i | ||||
\(535\) | 773.633 | + | 516.925i | 1.44604 | + | 0.966215i | ||||
\(536\) | 164.048 | + | 99.6121i | 0.306059 | + | 0.185843i | ||||
\(537\) | 1305.01 | − | 871.977i | 2.43018 | − | 1.62379i | ||||
\(538\) | −105.186 | + | 108.270i | −0.195513 | + | 0.201246i | ||||
\(539\) | 364.891 | − | 682.663i | 0.676978 | − | 1.26654i | ||||
\(540\) | −1932.90 | + | 866.874i | −3.57944 | + | 1.60532i | ||||
\(541\) | −41.1640 | − | 417.945i | −0.0760887 | − | 0.772541i | −0.955207 | − | 0.295938i | \(-0.904368\pi\) |
0.879118 | − | 0.476603i | \(-0.158132\pi\) | |||||||
\(542\) | 644.483 | + | 762.569i | 1.18908 | + | 1.40695i | ||||
\(543\) | −98.9156 | + | 98.9156i | −0.182165 | + | 0.182165i | ||||
\(544\) | −100.889 | − | 44.8898i | −0.185458 | − | 0.0825179i | ||||
\(545\) | −249.646 | + | 249.646i | −0.458066 | + | 0.458066i | ||||
\(546\) | −6.09403 | + | 72.6137i | −0.0111612 | + | 0.132992i | ||||
\(547\) | 37.9178 | + | 384.986i | 0.0693196 | + | 0.703814i | 0.965549 | + | 0.260223i | \(0.0837959\pi\) |
−0.896229 | + | 0.443592i | \(0.853704\pi\) | |||||||
\(548\) | −479.029 | + | 507.543i | −0.874141 | + | 0.926174i | ||||
\(549\) | −328.129 | + | 613.886i | −0.597684 | + | 1.11819i | ||||
\(550\) | 10.7107 | + | 741.326i | 0.0194741 | + | 1.34787i | ||||
\(551\) | −791.444 | + | 528.826i | −1.43638 | + | 0.959757i | ||||
\(552\) | −915.909 | + | 426.770i | −1.65925 | + | 0.773133i | ||||
\(553\) | 47.7238 | + | 31.8880i | 0.0862999 | + | 0.0576637i | ||||
\(554\) | −169.388 | + | 36.2449i | −0.305755 | + | 0.0654241i | ||||
\(555\) | −786.226 | + | 645.239i | −1.41662 | + | 1.16259i | ||||
\(556\) | −23.3563 | + | 13.3658i | −0.0420078 | + | 0.0240391i | ||||
\(557\) | −166.570 | − | 311.631i | −0.299048 | − | 0.559480i | 0.686855 | − | 0.726794i | \(-0.258991\pi\) |
−0.985904 | + | 0.167314i | \(0.946491\pi\) | |||||||
\(558\) | 650.648 | + | 1176.09i | 1.16604 | + | 2.10768i | ||||
\(559\) | −66.5073 | − | 160.563i | −0.118976 | − | 0.287232i | ||||
\(560\) | 187.019 | + | 45.1203i | 0.333963 | + | 0.0805719i | ||||
\(561\) | 302.641 | + | 125.358i | 0.539466 | + | 0.223454i | ||||
\(562\) | 406.713 | − | 45.9994i | 0.723688 | − | 0.0818494i | ||||
\(563\) | 278.971 | − | 919.645i | 0.495508 | − | 1.63347i | −0.250921 | − | 0.968008i | \(-0.580733\pi\) |
0.746429 | − | 0.665465i | \(-0.231767\pi\) | |||||||
\(564\) | −717.556 | + | 240.516i | −1.27226 | + | 0.426447i | ||||
\(565\) | −5.59098 | + | 56.7662i | −0.00989554 | + | 0.100471i | ||||
\(566\) | 200.950 | − | 138.511i | 0.355035 | − | 0.244719i | ||||
\(567\) | −78.9206 | − | 396.760i | −0.139190 | − | 0.699754i | ||||
\(568\) | 45.6182 | − | 831.105i | 0.0803137 | − | 1.46321i | ||||
\(569\) | −192.333 | + | 966.924i | −0.338020 | + | 1.69934i | 0.320889 | + | 0.947117i | \(0.396018\pi\) |
−0.658909 | + | 0.752223i | \(0.728982\pi\) | |||||||
\(570\) | 662.300 | − | 1666.64i | 1.16193 | − | 2.92392i | ||||
\(571\) | 469.490 | − | 142.418i | 0.822224 | − | 0.249419i | 0.148981 | − | 0.988840i | \(-0.452401\pi\) |
0.673243 | + | 0.739421i | \(0.264901\pi\) | |||||||
\(572\) | −55.5397 | − | 242.392i | −0.0970974 | − | 0.423762i | ||||
\(573\) | −435.304 | − | 357.245i | −0.759693 | − | 0.623464i | ||||
\(574\) | −70.0244 | + | 22.3514i | −0.121994 | + | 0.0389396i | ||||
\(575\) | 493.241 | 0.857810 | ||||||||
\(576\) | −670.596 | − | 1290.04i | −1.16423 | − | 2.23966i | ||||
\(577\) | − | 163.233i | − | 0.282899i | −0.989945 | − | 0.141449i | \(-0.954824\pi\) | ||
0.989945 | − | 0.141449i | \(-0.0451763\pi\) | |||||||
\(578\) | −527.942 | + | 168.516i | −0.913394 | + | 0.291550i | ||||
\(579\) | −48.1159 | + | 58.6293i | −0.0831016 | + | 0.101260i | ||||
\(580\) | 597.063 | − | 952.004i | 1.02942 | − | 1.64139i | ||||
\(581\) | −64.7849 | − | 213.567i | −0.111506 | − | 0.367586i | ||||
\(582\) | 67.5144 | − | 169.896i | 0.116004 | − | 0.291917i | ||||
\(583\) | 983.878 | + | 195.706i | 1.68761 | + | 0.335687i | ||||
\(584\) | −88.3370 | − | 251.431i | −0.151262 | − | 0.430532i | ||||
\(585\) | −563.352 | + | 112.058i | −0.962994 | + | 0.191551i | ||||
\(586\) | 691.642 | − | 476.735i | 1.18028 | − | 0.813542i | ||||
\(587\) | 636.586 | + | 62.6982i | 1.08447 | + | 0.106811i | 0.624427 | − | 0.781083i | \(-0.285333\pi\) |
0.460047 | + | 0.887895i | \(0.347833\pi\) | |||||||
\(588\) | 461.113 | − | 926.085i | 0.784206 | − | 1.57497i | ||||
\(589\) | −657.501 | − | 199.451i | −1.11630 | − | 0.338626i | ||||
\(590\) | −1041.34 | + | 117.776i | −1.76498 | + | 0.199620i | ||||
\(591\) | 779.464 | − | 1881.79i | 1.31889 | − | 3.18408i | ||||
\(592\) | −285.781 | − | 309.849i | −0.482738 | − | 0.523394i | ||||
\(593\) | 747.249 | − | 309.521i | 1.26012 | − | 0.521957i | 0.350171 | − | 0.936686i | \(-0.386123\pi\) |
0.909945 | + | 0.414729i | \(0.136123\pi\) | |||||||
\(594\) | 1260.74 | + | 2278.87i | 2.12246 | + | 3.83648i | ||||
\(595\) | −36.5932 | + | 19.5595i | −0.0615011 | + | 0.0328730i | ||||
\(596\) | 342.520 | + | 93.1857i | 0.574698 | + | 0.156352i | ||||
\(597\) | −618.723 | − | 753.916i | −1.03639 | − | 1.26284i | ||||
\(598\) | −161.775 | + | 34.6160i | −0.270528 | + | 0.0578862i | ||||
\(599\) | −643.385 | + | 962.894i | −1.07410 | + | 1.60750i | −0.324151 | + | 0.946005i | \(0.605079\pi\) |
−0.749948 | + | 0.661497i | \(0.769921\pi\) | |||||||
\(600\) | 42.9326 | + | 989.952i | 0.0715543 | + | 1.64992i | ||||
\(601\) | 266.315 | + | 398.568i | 0.443119 | + | 0.663175i | 0.984050 | − | 0.177892i | \(-0.0569278\pi\) |
−0.540931 | + | 0.841067i | \(0.681928\pi\) | |||||||
\(602\) | −2.38799 | − | 165.281i | −0.00396676 | − | 0.274553i | ||||
\(603\) | −480.649 | − | 256.912i | −0.797096 | − | 0.426057i | ||||
\(604\) | −23.1985 | − | 802.655i | −0.0384081 | − | 1.32890i | ||||
\(605\) | 1112.75 | − | 109.597i | 1.83926 | − | 0.181151i | ||||
\(606\) | −61.4105 | + | 731.740i | −0.101337 | + | 1.20749i | ||||
\(607\) | −112.042 | − | 112.042i | −0.184583 | − | 0.184583i | 0.608766 | − | 0.793349i | \(-0.291665\pi\) |
−0.793349 | + | 0.608766i | \(0.791665\pi\) | |||||||
\(608\) | 705.408 | + | 234.128i | 1.16021 | + | 0.385079i | ||||
\(609\) | 286.261 | + | 286.261i | 0.470050 | + | 0.470050i | ||||
\(610\) | 271.165 | + | 320.849i | 0.444532 | + | 0.525982i | ||||
\(611\) | −123.310 | + | 12.1449i | −0.201816 | + | 0.0198772i | ||||
\(612\) | 293.051 | + | 111.580i | 0.478842 | + | 0.182321i | ||||
\(613\) | −713.923 | − | 381.600i | −1.16464 | − | 0.622512i | −0.228292 | − | 0.973593i | \(-0.573314\pi\) |
−0.936345 | + | 0.351081i | \(0.885814\pi\) | |||||||
\(614\) | −457.408 | + | 470.819i | −0.744964 | + | 0.766806i | ||||
\(615\) | −449.425 | − | 672.612i | −0.730772 | − | 1.09368i | ||||
\(616\) | 36.0485 | − | 233.757i | 0.0585203 | − | 0.379476i | ||||
\(617\) | −219.901 | + | 329.104i | −0.356403 | + | 0.533394i | −0.965738 | − | 0.259518i | \(-0.916436\pi\) |
0.609335 | + | 0.792913i | \(0.291436\pi\) | |||||||
\(618\) | −75.9931 | + | 117.367i | −0.122966 | + | 0.189915i | ||||
\(619\) | 307.595 | + | 374.805i | 0.496922 | + | 0.605501i | 0.959718 | − | 0.280964i | \(-0.0906540\pi\) |
−0.462797 | + | 0.886464i | \(0.653154\pi\) | |||||||
\(620\) | 804.617 | − | 102.796i | 1.29777 | − | 0.165799i | ||||
\(621\) | 1528.04 | − | 816.757i | 2.46062 | − | 1.31523i | ||||
\(622\) | 39.6731 | − | 137.927i | 0.0637831 | − | 0.221748i | ||||
\(623\) | −132.994 | + | 55.0879i | −0.213474 | + | 0.0884236i | ||||
\(624\) | −83.5567 | − | 321.676i | −0.133905 | − | 0.515507i | ||||
\(625\) | −264.486 | + | 638.526i | −0.423178 | + | 1.02164i | ||||
\(626\) | −419.040 | + | 525.915i | −0.669393 | + | 0.840119i | ||||
\(627\) | −2109.90 | − | 640.030i | −3.36507 | − | 1.02078i | ||||
\(628\) | −782.381 | + | 680.846i | −1.24583 | + | 1.08415i | ||||
\(629\) | 90.4728 | + | 8.91080i | 0.143836 | + | 0.0141666i | ||||
\(630\) | −537.303 | − | 98.8292i | −0.852862 | − | 0.156872i | ||||
\(631\) | −785.604 | + | 156.266i | −1.24501 | + | 0.247649i | −0.773264 | − | 0.634084i | \(-0.781377\pi\) |
−0.471749 | + | 0.881733i | \(0.656377\pi\) | |||||||
\(632\) | −253.569 | − | 65.0665i | −0.401217 | − | 0.102953i | ||||
\(633\) | −1443.11 | − | 287.053i | −2.27980 | − | 0.453481i | ||||
\(634\) | −80.8855 | − | 187.564i | −0.127580 | − | 0.295842i | ||||
\(635\) | −201.672 | − | 664.824i | −0.317594 | − | 1.04697i | ||||
\(636\) | 1321.96 | + | 223.461i | 2.07855 | + | 0.351354i | ||||
\(637\) | 107.453 | − | 130.932i | 0.168686 | − | 0.205545i | ||||
\(638\) | −1227.69 | − | 633.584i | −1.92428 | − | 0.993078i | ||||
\(639\) | 2363.64i | 3.69897i | ||||||||
\(640\) | −872.974 | + | 88.5856i | −1.36402 | + | 0.138415i | ||||
\(641\) | −474.650 | −0.740483 | −0.370242 | − | 0.928935i | \(-0.620725\pi\) | ||||
−0.370242 | + | 0.928935i | \(0.620725\pi\) | |||||||
\(642\) | 701.122 | − | 1358.56i | 1.09209 | − | 2.11614i | ||||
\(643\) | −389.958 | − | 320.030i | −0.606466 | − | 0.497714i | 0.280312 | − | 0.959909i | \(-0.409562\pi\) |
−0.886778 | + | 0.462195i | \(0.847062\pi\) | |||||||
\(644\) | −155.151 | − | 26.2265i | −0.240918 | − | 0.0407244i | ||||
\(645\) | 1740.82 | − | 528.072i | 2.69895 | − | 0.818717i | ||||
\(646\) | −147.196 | + | 63.4770i | −0.227857 | + | 0.0982616i | ||||
\(647\) | 159.346 | − | 801.086i | 0.246284 | − | 1.23815i | −0.637570 | − | 0.770392i | \(-0.720060\pi\) |
0.883855 | − | 0.467762i | \(-0.154940\pi\) | |||||||
\(648\) | 939.438 | + | 1587.98i | 1.44975 | + | 2.45059i | ||||
\(649\) | 251.353 | + | 1263.64i | 0.387293 | + | 1.94705i | ||||
\(650\) | −29.3481 | + | 159.556i | −0.0451509 | + | 0.245471i | ||||
\(651\) | −28.6429 | + | 290.816i | −0.0439983 | + | 0.446722i | ||||
\(652\) | −259.988 | + | 226.248i | −0.398755 | + | 0.347006i | ||||
\(653\) | −217.778 | + | 717.917i | −0.333503 | + | 1.09941i | 0.616548 | + | 0.787318i | \(0.288531\pi\) |
−0.950051 | + | 0.312095i | \(0.898969\pi\) | |||||||
\(654\) | 453.694 | + | 361.496i | 0.693722 | + | 0.552746i | ||||
\(655\) | 159.655 | + | 66.1312i | 0.243748 | + | 0.100964i | ||||
\(656\) | 267.529 | − | 202.045i | 0.407819 | − | 0.307995i | ||||
\(657\) | 289.605 | + | 699.168i | 0.440799 | + | 1.06418i | ||||
\(658\) | −113.259 | − | 32.5774i | −0.172125 | − | 0.0495098i | ||||
\(659\) | 144.079 | + | 269.553i | 0.218633 | + | 0.409034i | 0.967196 | − | 0.254029i | \(-0.0817560\pi\) |
−0.748563 | + | 0.663063i | \(0.769256\pi\) | |||||||
\(660\) | 2581.98 | − | 329.867i | 3.91210 | − | 0.499799i | ||||
\(661\) | −782.050 | + | 641.811i | −1.18313 | + | 0.970970i | −0.999927 | − | 0.0121045i | \(-0.996147\pi\) |
−0.183204 | + | 0.983075i | \(0.558647\pi\) | |||||||
\(662\) | −29.3395 | − | 18.9968i | −0.0443195 | − | 0.0286960i | ||||
\(663\) | 59.5994 | + | 39.8231i | 0.0898936 | + | 0.0600650i | ||||
\(664\) | 601.653 | + | 821.054i | 0.906104 | + | 1.23653i | ||||
\(665\) | 232.210 | − | 155.158i | 0.349188 | − | 0.233320i | ||||
\(666\) | 858.535 | + | 834.080i | 1.28909 | + | 1.25237i | ||||
\(667\) | −433.266 | + | 810.583i | −0.649574 | + | 1.21527i | ||||
\(668\) | −815.461 | − | 310.489i | −1.22075 | − | 0.464805i | ||||
\(669\) | −25.5591 | − | 259.506i | −0.0382049 | − | 0.387901i | ||||
\(670\) | −251.212 | + | 212.312i | −0.374944 | + | 0.316883i | ||||
\(671\) | 365.193 | − | 365.193i | 0.544252 | − | 0.544252i | ||||
\(672\) | 39.1329 | − | 313.677i | 0.0582334 | − | 0.466781i | ||||
\(673\) | 160.069 | − | 160.069i | 0.237844 | − | 0.237844i | −0.578113 | − | 0.815957i | \(-0.696211\pi\) |
0.815957 | + | 0.578113i | \(0.196211\pi\) | |||||||
\(674\) | 737.808 | + | 61.9198i | 1.09467 | + | 0.0918691i | ||||
\(675\) | −166.538 | − | 1690.89i | −0.246723 | − | 2.50502i | ||||
\(676\) | 17.9577 | + | 621.326i | 0.0265646 | + | 0.919122i | ||||
\(677\) | 88.1691 | − | 164.953i | 0.130235 | − | 0.243653i | −0.808349 | − | 0.588704i | \(-0.799638\pi\) |
0.938584 | + | 0.345051i | \(0.112138\pi\) | |||||||
\(678\) | 93.7141 | − | 1.35399i | 0.138221 | − | 0.00199703i | ||||
\(679\) | 23.6713 | − | 15.8167i | 0.0348620 | − | 0.0232941i | ||||
\(680\) | 127.893 | − | 139.489i | 0.188078 | − | 0.205131i | ||||
\(681\) | −600.081 | − | 400.961i | −0.881176 | − | 0.588783i | ||||
\(682\) | −208.662 | − | 975.170i | −0.305957 | − | 1.42987i | ||||
\(683\) | 706.270 | − | 579.621i | 1.03407 | − | 0.848639i | 0.0454337 | − | 0.998967i | \(-0.485533\pi\) |
0.988636 | + | 0.150328i | \(0.0480330\pi\) | |||||||
\(684\) | −2036.58 | − | 554.069i | −2.97745 | − | 0.810043i | ||||
\(685\) | −563.817 | − | 1054.83i | −0.823090 | − | 1.53989i | ||||
\(686\) | 291.378 | − | 161.199i | 0.424749 | − | 0.234985i | ||||
\(687\) | 547.423 | + | 1321.59i | 0.796830 | + | 1.92372i | ||||
\(688\) | 260.153 | + | 707.608i | 0.378130 | + | 1.02850i | ||||
\(689\) | 202.799 | + | 84.0023i | 0.294339 | + | 0.121919i | ||||
\(690\) | −194.616 | − | 1720.73i | −0.282051 | − | 2.49381i | ||||
\(691\) | −84.0978 | + | 277.233i | −0.121704 | + | 0.401206i | −0.996530 | − | 0.0832319i | \(-0.973476\pi\) |
0.874826 | + | 0.484438i | \(0.160976\pi\) | |||||||
\(692\) | 127.730 | − | 256.529i | 0.184581 | − | 0.370707i | ||||
\(693\) | −65.8329 | + | 668.413i | −0.0949970 | + | 0.964521i | ||||
\(694\) | 574.914 | + | 834.078i | 0.828406 | + | 1.20184i | ||||
\(695\) | −8.99724 | − | 45.2322i | −0.0129457 | − | 0.0650823i | ||||
\(696\) | −1664.58 | − | 799.025i | −2.39164 | − | 1.14802i | ||||
\(697\) | −14.1061 | + | 70.9161i | −0.0202383 | + | 0.101745i | ||||
\(698\) | 415.698 | + | 165.193i | 0.595556 | + | 0.236666i | ||||
\(699\) | 598.853 | − | 181.660i | 0.856728 | − | 0.259886i | ||||
\(700\) | −81.9844 | + | 130.722i | −0.117121 | + | 0.186746i | ||||
\(701\) | 919.934 | + | 754.970i | 1.31232 | + | 1.07699i | 0.991535 | + | 0.129837i | \(0.0414454\pi\) |
0.320781 | + | 0.947153i | \(0.396055\pi\) | |||||||
\(702\) | 173.289 | + | 542.897i | 0.246851 | + | 0.773358i | ||||
\(703\) | −611.898 | −0.870409 | ||||||||
\(704\) | 198.282 | + | 1060.38i | 0.281650 | + | 1.50622i | ||||
\(705\) | − | 1296.98i | − | 1.83969i | ||||||
\(706\) | 32.4396 | + | 101.630i | 0.0459485 | + | 0.143952i | ||||
\(707\) | −72.5429 | + | 88.3937i | −0.102607 | + | 0.125026i | ||||
\(708\) | 384.583 | + | 1678.43i | 0.543196 | + | 2.37067i | ||||
\(709\) | −334.295 | − | 1102.02i | −0.471503 | − | 1.55434i | −0.794093 | − | 0.607797i | \(-0.792054\pi\) |
0.322590 | − | 0.946539i | \(-0.395446\pi\) | |||||||
\(710\) | 1325.64 | + | 526.793i | 1.86710 | + | 0.741962i | ||||
\(711\) | 729.105 | + | 145.028i | 1.02546 | + | 0.203978i | ||||
\(712\) | 489.001 | − | 438.113i | 0.686799 | − | 0.615327i | ||||
\(713\) | −650.698 | + | 129.432i | −0.912621 | + | 0.181532i | ||||
\(714\) | 38.6918 | + | 56.1336i | 0.0541902 | + | 0.0786184i | ||||
\(715\) | 424.121 | + | 41.7722i | 0.593176 | + | 0.0584227i | ||||
\(716\) | −1056.95 | + | 354.277i | −1.47619 | + | 0.494800i | ||||
\(717\) | −1456.60 | − | 441.855i | −2.03152 | − | 0.616255i | ||||
\(718\) | 32.0899 | + | 283.730i | 0.0446935 | + | 0.395167i | ||||
\(719\) | −347.165 | + | 838.131i | −0.482844 | + | 1.16569i | 0.475408 | + | 0.879766i | \(0.342301\pi\) |
−0.958252 | + | 0.285924i | \(0.907699\pi\) | |||||||
\(720\) | 2461.47 | − | 387.042i | 3.41871 | − | 0.537559i | ||||
\(721\) | −20.1161 | + | 8.33238i | −0.0279003 | + | 0.0115567i | ||||
\(722\) | 312.327 | − | 172.789i | 0.432586 | − | 0.239320i | ||||
\(723\) | −509.256 | + | 272.203i | −0.704365 | + | 0.376491i | ||||
\(724\) | 86.2336 | − | 49.3475i | 0.119107 | − | 0.0681595i | ||||
\(725\) | 571.783 | + | 696.719i | 0.788666 | + | 0.960992i | ||||
\(726\) | −384.416 | − | 1796.54i | −0.529499 | − | 2.47458i | ||||
\(727\) | 245.100 | − | 366.818i | 0.337139 | − | 0.504564i | −0.623703 | − | 0.781661i | \(-0.714373\pi\) |
0.960842 | + | 0.277098i | \(0.0893726\pi\) | |||||||
\(728\) | 17.7155 | − | 48.6286i | 0.0243344 | − | 0.0667976i | ||||
\(729\) | −735.347 | − | 1100.52i | −1.00871 | − | 1.50964i | ||||
\(730\) | 456.671 | − | 6.59802i | 0.625577 | − | 0.00903839i | ||||
\(731\) | −143.401 | − | 76.6493i | −0.196171 | − | 0.104855i | ||||
\(732\) | 473.775 | − | 501.976i | 0.647233 | − | 0.685760i | ||||
\(733\) | 687.239 | − | 67.6871i | 0.937570 | − | 0.0923426i | 0.382324 | − | 0.924028i | \(-0.375124\pi\) |
0.555246 | + | 0.831686i | \(0.312624\pi\) | |||||||
\(734\) | −65.6695 | − | 5.51124i | −0.0894680 | − | 0.00750850i | ||||
\(735\) | 1253.68 | + | 1253.68i | 1.70568 | + | 1.70568i | ||||
\(736\) | 707.278 | − | 121.708i | 0.960976 | − | 0.165364i | ||||
\(737\) | 285.932 | + | 285.932i | 0.387968 | + | 0.387968i | ||||
\(738\) | −727.117 | + | 614.522i | −0.985254 | + | 0.832685i | ||||
\(739\) | −1272.74 | + | 125.354i | −1.72225 | + | 0.169627i | −0.910258 | − | 0.414041i | \(-0.864117\pi\) |
−0.811993 | + | 0.583668i | \(0.801617\pi\) | |||||||
\(740\) | 659.136 | − | 295.613i | 0.890725 | − | 0.399477i | ||||
\(741\) | −425.491 | − | 227.429i | −0.574211 | − | 0.306922i | ||||
\(742\) | 149.748 | + | 145.482i | 0.201816 | + | 0.196067i | ||||
\(743\) | −555.598 | − | 831.511i | −0.747776 | − | 1.11913i | −0.988893 | − | 0.148630i | \(-0.952514\pi\) |
0.241117 | − | 0.970496i | \(-0.422486\pi\) | |||||||
\(744\) | −316.413 | − | 1294.71i | −0.425286 | − | 1.74020i | ||||
\(745\) | −337.976 | + | 505.817i | −0.453659 | + | 0.678949i | ||||
\(746\) | 416.790 | + | 269.863i | 0.558700 | + | 0.361747i | ||||
\(747\) | −1833.73 | − | 2234.41i | −2.45479 | − | 2.99118i | ||||
\(748\) | −184.038 | − | 142.340i | −0.246040 | − | 0.190295i | ||||
\(749\) | 209.961 | − | 112.226i | 0.280321 | − | 0.149835i | ||||
\(750\) | 223.146 | + | 64.1852i | 0.297528 | + | 0.0855802i | ||||
\(751\) | −416.012 | + | 172.318i | −0.553944 | + | 0.229451i | −0.642054 | − | 0.766660i | \(-0.721917\pi\) |
0.0881095 | + | 0.996111i | \(0.471917\pi\) | |||||||
\(752\) | 536.613 | − | 31.0445i | 0.713581 | − | 0.0412826i | ||||
\(753\) | 648.240 | − | 1564.99i | 0.860876 | − | 2.07834i | ||||
\(754\) | −236.432 | − | 188.385i | −0.313571 | − | 0.249848i | ||||
\(755\) | 1316.89 | + | 399.476i | 1.74423 | + | 0.529107i | ||||
\(756\) | −37.5223 | + | 540.731i | −0.0496326 | + | 0.715253i | ||||
\(757\) | 391.831 | + | 38.5919i | 0.517610 | + | 0.0509801i | 0.353450 | − | 0.935454i | \(-0.385009\pi\) |
0.164160 | + | 0.986434i | \(0.447509\pi\) | |||||||
\(758\) | 45.4341 | − | 247.011i | 0.0599394 | − | 0.325871i | ||||
\(759\) | −2088.07 | + | 415.342i | −2.75107 | + | 0.547223i | ||||
\(760\) | −764.647 | + | 1018.72i | −1.00611 | + | 1.34042i | ||||
\(761\) | 545.582 | + | 108.523i | 0.716928 | + | 0.142606i | 0.540057 | − | 0.841628i | \(-0.318403\pi\) |
0.176871 | + | 0.984234i | \(0.443403\pi\) | |||||||
\(762\) | −1048.21 | + | 452.033i | −1.37561 | + | 0.593220i | ||||
\(763\) | 26.2230 | + | 86.4458i | 0.0343683 | + | 0.113297i | ||||
\(764\) | 231.721 | + | 325.997i | 0.303300 | + | 0.426697i | ||||
\(765\) | −340.923 | + | 415.416i | −0.445651 | + | 0.543027i | ||||
\(766\) | 289.891 | − | 561.720i | 0.378448 | − | 0.733316i | ||||
\(767\) | 281.924i | 0.367567i | ||||||||
\(768\) | 305.835 | + | 1408.94i | 0.398222 | + | 1.83456i | ||||
\(769\) | −15.0748 | −0.0196031 | −0.00980157 | − | 0.999952i | \(-0.503120\pi\) | ||||
−0.00980157 | + | 0.999952i | \(0.503120\pi\) | |||||||
\(770\) | 360.205 | + | 185.894i | 0.467799 | + | 0.241420i | ||||
\(771\) | 1540.54 | + | 1264.29i | 1.99811 | + | 1.63981i | ||||
\(772\) | 43.9072 | − | 31.2095i | 0.0568746 | − | 0.0404269i | ||||
\(773\) | 533.676 | − | 161.889i | 0.690395 | − | 0.209429i | 0.0744578 | − | 0.997224i | \(-0.476277\pi\) |
0.615937 | + | 0.787795i | \(0.288777\pi\) | |||||||
\(774\) | −847.775 | − | 1965.89i | −1.09532 | − | 2.53991i | ||||
\(775\) | −126.925 | + | 638.094i | −0.163774 | + | 0.823347i | ||||
\(776\) | −77.9475 | + | 103.848i | −0.100448 | + | 0.133824i | ||||
\(777\) | 50.7712 | + | 255.244i | 0.0653426 | + | 0.328499i | ||||
\(778\) | −881.641 | − | 162.165i | −1.13321 | − | 0.208439i | ||||
\(779\) | 47.7021 | − | 484.327i | 0.0612350 | − | 0.621729i | ||||
\(780\) | 568.211 | + | 39.4292i | 0.728476 | + | 0.0505502i | ||||
\(781\) | 509.080 | − | 1678.21i | 0.651831 | − | 2.14880i | ||||
\(782\) | −96.4551 | + | 121.056i | −0.123344 | + | 0.154803i | ||||
\(783\) | 2925.06 | + | 1211.60i | 3.73571 | + | 1.54738i | ||||
\(784\) | −488.689 | + | 548.705i | −0.623327 | + | 0.699878i | ||||
\(785\) | −680.198 | − | 1642.14i | −0.866494 | − | 2.09190i | ||||
\(786\) | 78.4903 | − | 272.879i | 0.0998604 | − | 0.347174i | ||||
\(787\) | 384.700 | + | 719.723i | 0.488818 | + | 0.914514i | 0.998532 | + | 0.0541700i | \(0.0172513\pi\) |
−0.509714 | + | 0.860344i | \(0.670249\pi\) | |||||||
\(788\) | −885.060 | + | 1144.33i | −1.12317 | + | 1.45220i | ||||
\(789\) | 1089.29 | − | 893.955i | 1.38059 | − | 1.13302i | ||||
\(790\) | 243.837 | − | 376.594i | 0.308654 | − | 0.476701i | ||||
\(791\) | 12.1353 | + | 8.10858i | 0.0153418 | + | 0.0102510i | ||||
\(792\) | −727.244 | − | 2975.77i | −0.918238 | − | 3.75728i | ||||
\(793\) | 93.9654 | − | 62.7857i | 0.118494 | − | 0.0791749i | ||||
\(794\) | −521.106 | + | 536.385i | −0.656305 | + | 0.675548i | ||||
\(795\) | −1083.12 | + | 2026.38i | −1.36242 | + | 2.54890i | ||||
\(796\) | 283.464 | + | 632.049i | 0.356111 | + | 0.794031i | ||||
\(797\) | 32.1219 | + | 326.140i | 0.0403036 | + | 0.409209i | 0.994077 | + | 0.108681i | \(0.0346628\pi\) |
−0.953773 | + | 0.300528i | \(0.902837\pi\) | |||||||
\(798\) | −296.204 | − | 350.476i | −0.371183 | − | 0.439193i | ||||
\(799\) | −81.9729 | + | 81.9729i | −0.102594 | + | 0.102594i | ||||
\(800\) | 155.155 | − | 686.456i | 0.193944 | − | 0.858069i | ||||
\(801\) | −1318.34 | + | 1318.34i | −1.64587 | + | 1.64587i | ||||
\(802\) | −97.1747 | + | 1157.89i | −0.121166 | + | 1.44375i | ||||
\(803\) | −55.0362 | − | 558.792i | −0.0685382 | − | 0.695880i | ||||
\(804\) | 393.028 | + | 370.947i | 0.488841 | + | 0.461377i | ||||
\(805\) | 127.120 | − | 237.825i | 0.157913 | − | 0.295435i | ||||
\(806\) | −3.15246 | − | 218.193i | −0.00391124 | − | 0.270711i | ||||
\(807\) | −353.432 | + | 236.156i | −0.437958 | + | 0.292634i | ||||
\(808\) | 178.521 | − | 490.038i | 0.220942 | − | 0.606483i | ||||
\(809\) | −530.906 | − | 354.740i | −0.656250 | − | 0.438492i | 0.182354 | − | 0.983233i | \(-0.441628\pi\) |
−0.838605 | + | 0.544740i | \(0.816628\pi\) | |||||||
\(810\) | −3092.03 | + | 661.618i | −3.81732 | + | 0.816812i | ||||
\(811\) | 139.494 | − | 114.480i | 0.172002 | − | 0.141159i | −0.544454 | − | 0.838791i | \(-0.683263\pi\) |
0.716456 | + | 0.697632i | \(0.245763\pi\) | |||||||
\(812\) | −142.811 | − | 249.559i | −0.175876 | − | 0.307339i | ||||
\(813\) | 1325.34 | + | 2479.53i | 1.63018 | + | 3.04985i | ||||
\(814\) | −429.925 | − | 777.117i | −0.528164 | − | 0.954689i | ||||
\(815\) | −226.033 | − | 545.691i | −0.277341 | − | 0.669559i | ||||
\(816\) | −251.359 | − | 183.052i | −0.308038 | − | 0.224328i | ||||
\(817\) | 1011.12 | + | 418.818i | 1.23760 | + | 0.512630i | ||||
\(818\) | −504.548 | + | 57.0646i | −0.616807 | + | 0.0697611i | ||||
\(819\) | −42.6628 | + | 140.640i | −0.0520913 | + | 0.171722i | ||||
\(820\) | 182.598 | + | 544.762i | 0.222680 | + | 0.664344i | ||||
\(821\) | 142.051 | − | 1442.26i | 0.173021 | − | 1.75672i | −0.381336 | − | 0.924436i | \(-0.624536\pi\) |
0.554357 | − | 0.832279i | \(-0.312964\pi\) | |||||||
\(822\) | −1618.09 | + | 1115.32i | −1.96848 | + | 1.35684i | ||||
\(823\) | −72.1289 | − | 362.616i | −0.0876414 | − | 0.440603i | −0.999544 | − | 0.0301964i | \(-0.990387\pi\) |
0.911903 | − | 0.410407i | \(-0.134613\pi\) | |||||||
\(824\) | 73.9643 | − | 66.2672i | 0.0897625 | − | 0.0804214i | ||||
\(825\) | −407.296 | + | 2047.62i | −0.493693 | + | 2.48196i | ||||
\(826\) | −99.0253 | + | 249.191i | −0.119885 | + | 0.301684i | ||||
\(827\) | 1279.30 | − | 388.071i | 1.54691 | − | 0.469251i | 0.602530 | − | 0.798096i | \(-0.294160\pi\) |
0.944384 | + | 0.328845i | \(0.106660\pi\) | |||||||
\(828\) | −1986.50 | + | 455.170i | −2.39915 | + | 0.549723i | ||||
\(829\) | 1154.90 | + | 947.800i | 1.39312 | + | 1.14331i | 0.971639 | + | 0.236468i | \(0.0759900\pi\) |
0.421482 | + | 0.906837i | \(0.361510\pi\) | |||||||
\(830\) | −1661.85 | + | 530.452i | −2.00223 | + | 0.639099i | ||||
\(831\) | −487.781 | −0.586981 | ||||||||
\(832\) | −2.71274 | + | 236.036i | −0.00326050 | + | 0.283697i | ||||
\(833\) | − | 158.472i | − | 0.190243i | ||||||
\(834\) | −72.1888 | + | 23.0422i | −0.0865573 | + | 0.0276286i | ||||
\(835\) | 948.671 | − | 1155.96i | 1.13613 | − | 1.38438i | ||||
\(836\) | 1326.66 | + | 832.031i | 1.58691 | + | 0.995253i | ||||
\(837\) | 663.410 | + | 2186.97i | 0.792604 | + | 2.61287i | ||||
\(838\) | 205.868 | − | 518.053i | 0.245666 | − | 0.618202i | ||||
\(839\) | −1275.67 | − | 253.747i | −1.52046 | − | 0.302439i | −0.636973 | − | 0.770886i | \(-0.719814\pi\) |
−0.883492 | + | 0.468447i | \(0.844814\pi\) | |||||||
\(840\) | 488.389 | + | 234.434i | 0.581416 | + | 0.279089i | ||||
\(841\) | −822.393 | + | 163.584i | −0.977876 | + | 0.194512i | ||||
\(842\) | 864.005 | − | 595.542i | 1.02613 | − | 0.707295i | ||||
\(843\) | 1147.02 | + | 112.972i | 1.36064 | + | 0.134012i | ||||
\(844\) | 935.498 | + | 465.800i | 1.10841 | + | 0.551896i | ||||
\(845\) | −1019.39 | − | 309.230i | −1.20638 | − | 0.365952i | ||||
\(846\) | −1516.70 | + | 171.539i | −1.79279 | + | 0.202765i | ||||
\(847\) | 109.485 | − | 264.320i | 0.129262 | − | 0.312066i | ||||
\(848\) | −864.321 | − | 399.628i | −1.01925 | − | 0.471260i | ||||
\(849\) | 634.943 | − | 263.002i | 0.747872 | − | 0.309779i | ||||
\(850\) | 73.4776 | + | 132.815i | 0.0864442 | + | 0.156253i | ||||
\(851\) | −521.078 | + | 278.522i | −0.612313 | + | 0.327288i | ||||
\(852\) | 615.300 | − | 2261.64i | 0.722184 | − | 2.65451i | ||||
\(853\) | 772.535 | + | 941.336i | 0.905668 | + | 1.10356i | 0.994207 | + | 0.107487i | \(0.0342803\pi\) |
−0.0885386 | + | 0.996073i | \(0.528220\pi\) | |||||||
\(854\) | 105.109 | − | 22.4907i | 0.123078 | − | 0.0263357i | ||||
\(855\) | 2009.56 | − | 3007.52i | 2.35036 | − | 3.51756i | ||||
\(856\) | −733.811 | + | 800.345i | −0.857256 | + | 0.934983i | ||||
\(857\) | 25.8111 | + | 38.6291i | 0.0301180 | + | 0.0450747i | 0.846223 | − | 0.532829i | \(-0.178871\pi\) |
−0.816105 | + | 0.577903i | \(0.803871\pi\) | |||||||
\(858\) | −10.1161 | − | 700.172i | −0.0117904 | − | 0.816051i | ||||
\(859\) | 95.1406 | + | 50.8537i | 0.110757 | + | 0.0592011i | 0.525845 | − | 0.850580i | \(-0.323749\pi\) |
−0.415088 | + | 0.909781i | \(0.636249\pi\) | |||||||
\(860\) | −1291.51 | + | 37.3274i | −1.50176 | + | 0.0434040i | ||||
\(861\) | −205.988 | + | 20.2880i | −0.239243 | + | 0.0235633i | ||||
\(862\) | −80.5235 | + | 959.482i | −0.0934147 | + | 1.11309i | ||||
\(863\) | −1122.09 | − | 1122.09i | −1.30021 | − | 1.30021i | −0.928245 | − | 0.371969i | \(-0.878683\pi\) |
−0.371969 | − | 0.928245i | \(-0.621317\pi\) | |||||||
\(864\) | −656.034 | − | 2383.54i | −0.759299 | − | 2.75873i | ||||
\(865\) | 347.273 | + | 347.273i | 0.401472 | + | 0.401472i | ||||
\(866\) | 333.042 | + | 394.064i | 0.384575 | + | 0.455039i | ||||
\(867\) | −1553.02 | + | 152.959i | −1.79126 | + | 0.176424i | ||||
\(868\) | 73.8533 | − | 193.966i | 0.0850845 | − | 0.223464i | ||||
\(869\) | −486.436 | − | 260.006i | −0.559766 | − | 0.299201i | ||||
\(870\) | 2204.99 | − | 2269.64i | 2.53447 | − | 2.60878i | ||||
\(871\) | 49.1588 | + | 73.5713i | 0.0564395 | + | 0.0844677i | ||||
\(872\) | −243.532 | − | 332.339i | −0.279279 | − | 0.381122i | ||||
\(873\) | 204.853 | − | 306.584i | 0.234654 | − | 0.351185i | ||||
\(874\) | 566.226 | − | 874.508i | 0.647856 | − | 1.00058i | ||||
\(875\) | 22.9384 | + | 27.9505i | 0.0262153 | + | 0.0319435i | ||||
\(876\) | −95.1006 | − | 744.386i | −0.108562 | − | 0.849755i | ||||
\(877\) | −104.460 | + | 55.8352i | −0.119111 | + | 0.0636661i | −0.529876 | − | 0.848075i | \(-0.677762\pi\) |
0.410765 | + | 0.911741i | \(0.365262\pi\) | |||||||
\(878\) | 44.5203 | − | 154.779i | 0.0507065 | − | 0.176286i | ||||
\(879\) | 2185.39 | − | 905.218i | 2.48622 | − | 1.02983i | ||||
\(880\) | −1831.03 | − | 255.347i | −2.08072 | − | 0.290167i | ||||
\(881\) | 225.655 | − | 544.779i | 0.256135 | − | 0.618365i | −0.742541 | − | 0.669800i | \(-0.766380\pi\) |
0.998676 | + | 0.0514356i | \(0.0163797\pi\) | |||||||
\(882\) | 1300.25 | − | 1631.87i | 1.47420 | − | 1.85020i | ||||
\(883\) | −1117.35 | − | 338.945i | −1.26541 | − | 0.383857i | −0.414921 | − | 0.909857i | \(-0.636191\pi\) |
−0.850484 | + | 0.526001i | \(0.823691\pi\) | |||||||
\(884\) | −33.4206 | − | 38.4047i | −0.0378061 | − | 0.0434442i | ||||
\(885\) | −2936.81 | − | 289.250i | −3.31843 | − | 0.326836i | ||||
\(886\) | 362.725 | + | 66.7180i | 0.409396 | + | 0.0753025i | ||||
\(887\) | 1123.77 | − | 223.532i | 1.26693 | − | 0.252009i | 0.484527 | − | 0.874776i | \(-0.338992\pi\) |
0.782407 | + | 0.622767i | \(0.213992\pi\) | |||||||
\(888\) | −604.359 | − | 1021.58i | −0.680585 | − | 1.15043i | ||||
\(889\) | −174.347 | − | 34.6798i | −0.196116 | − | 0.0390099i | ||||
\(890\) | 445.566 | + | 1033.21i | 0.500636 | + | 1.16091i | ||||
\(891\) | 1128.46 | + | 3720.03i | 1.26651 | + | 4.17512i | ||||
\(892\) | −30.8689 | + | 182.615i | −0.0346064 | + | 0.204725i | ||||
\(893\) | 495.003 | − | 603.163i | 0.554315 | − | 0.675435i | ||||
\(894\) | 888.254 | + | 458.408i | 0.993573 | + | 0.512761i | ||||
\(895\) | − | 1910.43i | − | 2.13456i | ||||||
\(896\) | −85.3049 | + | 207.678i | −0.0952064 | + | 0.231783i | ||||
\(897\) | −465.859 | −0.519352 | ||||||||
\(898\) | −543.166 | + | 1052.49i | −0.604861 | + | 1.17204i | ||||
\(899\) | −937.141 | − | 769.091i | −1.04243 | − | 0.855497i | ||||
\(900\) | −333.098 | + | 1970.55i | −0.370109 | + | 2.18950i | ||||
\(901\) | 196.530 | − | 59.6166i | 0.218124 | − | 0.0661672i | ||||
\(902\) | 648.616 | − | 279.711i | 0.719087 | − | 0.310101i | ||||
\(903\) | 90.8081 | − | 456.523i | 0.100563 | − | 0.505563i | ||||
\(904\) | −64.4782 | − | 16.5453i | −0.0713255 | − | 0.0183023i | ||||
\(905\) | 33.2186 | + | 167.001i | 0.0367056 | + | 0.184532i | ||||
\(906\) | 409.045 | − | 2223.85i | 0.451485 | − | 2.45458i | ||||
\(907\) | −20.4180 | + | 207.307i | −0.0225115 | + | 0.228564i | 0.977345 | + | 0.211650i | \(0.0678839\pi\) |
−0.999857 | + | 0.0169131i | \(0.994616\pi\) | |||||||
\(908\) | 336.498 | + | 386.680i | 0.370592 | + | 0.425859i | ||||
\(909\) | −429.920 | + | 1417.26i | −0.472959 | + | 1.55914i | ||||
\(910\) | 69.3693 | + | 55.2723i | 0.0762300 | + | 0.0607388i | ||||
\(911\) | 1105.40 | + | 457.871i | 1.21339 | + | 0.502602i | 0.895302 | − | 0.445459i | \(-0.146960\pi\) |
0.318087 | + | 0.948062i | \(0.396960\pi\) | |||||||
\(912\) | 1804.45 | + | 1060.32i | 1.97857 | + | 1.16263i | ||||
\(913\) | 820.723 | + | 1981.40i | 0.898930 | + | 2.17021i | ||||
\(914\) | −1531.80 | − | 440.603i | −1.67593 | − | 0.482060i | ||||
\(915\) | 557.632 | + | 1043.26i | 0.609434 | + | 1.14017i | ||||
\(916\) | −128.755 | − | 1007.81i | −0.140562 | − | 1.10023i | ||||
\(917\) | 34.1800 | − | 28.0508i | 0.0372737 | − | 0.0305897i | ||||
\(918\) | 447.560 | + | 289.786i | 0.487538 | + | 0.315671i | ||||
\(919\) | 298.334 | + | 199.340i | 0.324629 | + | 0.216910i | 0.707196 | − | 0.707018i | \(-0.249960\pi\) |
−0.382567 | + | 0.923928i | \(0.624960\pi\) | |||||||
\(920\) | −187.457 | + | 1215.57i | −0.203758 | + | 1.32127i | ||||
\(921\) | −1536.92 | + | 1026.94i | −1.66875 | + | 1.11502i | ||||
\(922\) | −671.786 | − | 652.651i | −0.728619 | − | 0.707864i | ||||
\(923\) | 180.897 | − | 338.435i | 0.195988 | − | 0.366669i | ||||
\(924\) | 236.992 | − | 622.431i | 0.256485 | − | 0.673626i | ||||
\(925\) | 56.7910 | + | 576.609i | 0.0613957 | + | 0.623361i | ||||
\(926\) | 1295.16 | − | 1094.60i | 1.39866 | − | 1.18207i | ||||
\(927\) | −199.408 | + | 199.408i | −0.215111 | + | 0.215111i | ||||
\(928\) | 991.820 | + | 857.967i | 1.06877 | + | 0.924533i | ||||
\(929\) | −1078.91 | + | 1078.91i | −1.16137 | + | 1.16137i | −0.177189 | + | 0.984177i | \(0.556700\pi\) |
−0.984177 | + | 0.177189i | \(0.943300\pi\) | |||||||
\(930\) | 2276.15 | + | 191.023i | 2.44747 | + | 0.205402i | ||||
\(931\) | 104.549 | + | 1061.50i | 0.112297 | + | 1.14017i | ||||
\(932\) | −444.287 | + | 12.8409i | −0.476703 | + | 0.0137777i | ||||
\(933\) | 190.510 | − | 356.419i | 0.204191 | − | 0.382014i | ||||
\(934\) | −1094.29 | + | 15.8104i | −1.17162 | + | 0.0169276i | ||||
\(935\) | 331.531 | − | 221.522i | 0.354578 | − | 0.236922i | ||||
\(936\) | −29.0432 | − | 669.687i | −0.0310291 | − | 0.715477i | ||||
\(937\) | −208.881 | − | 139.569i | −0.222925 | − | 0.148954i | 0.439093 | − | 0.898442i | \(-0.355300\pi\) |
−0.662018 | + | 0.749488i | \(0.730300\pi\) | |||||||
\(938\) | 17.6094 | + | 82.2962i | 0.0187733 | + | 0.0877358i | ||||
\(939\) | −1463.73 | + | 1201.25i | −1.55882 | + | 1.27929i | ||||
\(940\) | −241.825 | + | 888.868i | −0.257260 | + | 0.945604i | ||||
\(941\) | −0.227555 | − | 0.425725i | −0.000241822 | − | 0.000452417i | 0.881800 | − | 0.471623i | \(-0.156332\pi\) |
−0.882042 | + | 0.471171i | \(0.843832\pi\) | |||||||
\(942\) | −2555.51 | + | 1413.79i | −2.71286 | + | 1.50084i | ||||
\(943\) | −179.833 | − | 434.155i | −0.190703 | − | 0.460397i | ||||
\(944\) | 49.3792 | − | 1222.00i | 0.0523084 | − | 1.29449i | ||||
\(945\) | −858.214 | − | 355.484i | −0.908163 | − | 0.376174i | ||||
\(946\) | 178.517 | + | 1578.39i | 0.188707 | + | 1.66849i | ||||
\(947\) | 251.711 | − | 829.780i | 0.265798 | − | 0.876220i | −0.717862 | − | 0.696186i | \(-0.754879\pi\) |
0.983660 | − | 0.180034i | \(-0.0576209\pi\) | |||||||
\(948\) | −659.888 | − | 328.569i | −0.696084 | − | 0.346592i | ||||
\(949\) | 12.0429 | − | 122.274i | 0.0126901 | − | 0.128845i | ||||
\(950\) | −579.801 | − | 841.168i | −0.610317 | − | 0.885440i | ||||
\(951\) | −112.213 | − | 564.131i | −0.117994 | − | 0.593198i | ||||
\(952\) | −16.0507 | − | 45.6846i | −0.0168600 | − | 0.0479880i | ||||
\(953\) | 159.358 | − | 801.149i | 0.167218 | − | 0.840660i | −0.802542 | − | 0.596596i | \(-0.796519\pi\) |
0.969759 | − | 0.244064i | \(-0.0784806\pi\) | |||||||
\(954\) | 2512.92 | + | 998.603i | 2.63409 | + | 1.04675i | ||||
\(955\) | −655.931 | + | 198.974i | −0.686838 | + | 0.208350i | ||||
\(956\) | 915.877 | + | 574.406i | 0.958030 | + | 0.600843i | ||||
\(957\) | −3007.25 | − | 2467.98i | −3.14237 | − | 2.57888i | ||||
\(958\) | 20.6064 | + | 64.5577i | 0.0215098 | + | 0.0673880i | ||||
\(959\) | −306.035 | −0.319119 | ||||||||
\(960\) | −2456.01 | − | 270.428i | −2.55834 | − | 0.281696i | ||||
\(961\) | 85.9003i | 0.0893864i | ||||||||
\(962\) | −59.0934 | − | 185.133i | −0.0614276 | − | 0.192446i | ||||
\(963\) | 1956.11 | − | 2383.53i | 2.03127 | − | 2.47511i | ||||
\(964\) | 399.765 | − | 91.5988i | 0.414694 | − | 0.0950195i | ||||
\(965\) | 26.7990 | + | 88.3446i | 0.0277710 | + | 0.0915488i | ||||
\(966\) | −411.770 | − | 163.632i | −0.426262 | − | 0.169391i | ||||
\(967\) | −90.4381 | − | 17.9893i | −0.0935244 | − | 0.0186032i | 0.148106 | − | 0.988971i | \(-0.452682\pi\) |
−0.241631 | + | 0.970368i | \(0.577682\pi\) | |||||||
\(968\) | −71.5151 | + | 1302.91i | −0.0738793 | + | 1.34599i | ||||
\(969\) | −442.717 | + | 88.0618i | −0.456880 | + | 0.0908791i | ||||
\(970\) | −126.291 | − | 183.221i | −0.130196 | − | 0.188887i | ||||
\(971\) | 1113.50 | + | 109.670i | 1.14676 | + | 0.112946i | 0.653493 | − | 0.756933i | \(-0.273303\pi\) |
0.493266 | + | 0.869878i | \(0.335803\pi\) | |||||||
\(972\) | 767.296 | + | 2289.15i | 0.789399 | + | 2.35510i | ||||
\(973\) | −11.2922 | − | 3.42545i | −0.0116055 | − | 0.00352050i | ||||
\(974\) | −85.9214 | − | 759.691i | −0.0882150 | − | 0.779970i | ||||
\(975\) | −174.823 | + | 422.060i | −0.179306 | + | 0.432882i | ||||
\(976\) | −418.290 | + | 255.686i | −0.428576 | + | 0.261974i | ||||
\(977\) | 235.743 | − | 97.6478i | 0.241292 | − | 0.0999466i | −0.258760 | − | 0.965942i | \(-0.583314\pi\) |
0.500053 | + | 0.865995i | \(0.333314\pi\) | |||||||
\(978\) | −849.206 | + | 469.808i | −0.868309 | + | 0.480376i | ||||
\(979\) | 1219.98 | − | 652.095i | 1.24615 | − | 0.666082i | ||||
\(980\) | −625.440 | − | 1092.94i | −0.638204 | − | 1.11525i | ||||
\(981\) | 742.241 | + | 904.423i | 0.756616 | + | 0.921940i | ||||
\(982\) | −91.6734 | − | 428.430i | −0.0933537 | − | 0.436283i | ||||
\(983\) | −1000.11 | + | 1496.77i | −1.01741 | + | 1.52266i | −0.174459 | + | 0.984664i | \(0.555818\pi\) |
−0.842949 | + | 0.537994i | \(0.819182\pi\) | |||||||
\(984\) | 855.711 | − | 398.720i | 0.869625 | − | 0.405204i | ||||
\(985\) | −1377.40 | − | 2061.43i | −1.39838 | − | 2.09282i | ||||
\(986\) | −282.810 | + | 4.08605i | −0.286825 | + | 0.00414407i | ||||
\(987\) | −292.673 | − | 156.437i | −0.296528 | − | 0.158497i | ||||
\(988\) | 249.200 | + | 235.200i | 0.252226 | + | 0.238056i | ||||
\(989\) | 1051.68 | − | 103.581i | 1.06338 | − | 0.104734i | ||||
\(990\) | 5231.52 | + | 439.049i | 5.28436 | + | 0.443484i | ||||
\(991\) | −356.770 | − | 356.770i | −0.360011 | − | 0.360011i | 0.503806 | − | 0.863817i | \(-0.331933\pi\) |
−0.863817 | + | 0.503806i | \(0.831933\pi\) | |||||||
\(992\) | −24.5522 | + | 946.308i | −0.0247502 | + | 0.953940i | ||||
\(993\) | −69.5961 | − | 69.5961i | −0.0700867 | − | 0.0700867i | ||||
\(994\) | 278.769 | − | 235.601i | 0.280451 | − | 0.237023i | ||||
\(995\) | −1181.43 | + | 116.360i | −1.18736 | + | 0.116945i | ||||
\(996\) | 1172.94 | + | 2615.34i | 1.17765 | + | 2.62584i | ||||
\(997\) | −564.978 | − | 301.987i | −0.566678 | − | 0.302896i | 0.163067 | − | 0.986615i | \(-0.447861\pi\) |
−0.729745 | + | 0.683719i | \(0.760361\pi\) | |||||||
\(998\) | 20.1654 | + | 19.5910i | 0.0202058 | + | 0.0196302i | ||||
\(999\) | 1130.74 | + | 1692.28i | 1.13187 | + | 1.69397i |
(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 | 128.3.l.a.43.6 | yes | 496 | |
128.3 | odd | 32 | inner | 128.3.l.a.3.6 | ✓ | 496 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.3.l.a.3.6 | ✓ | 496 | 128.3 | odd | 32 | inner | |
128.3.l.a.43.6 | yes | 496 | 1.1 | even | 1 | trivial |