Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(103,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 0, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.ba (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 187.21 | ||
Character | \(\chi\) | \(=\) | 588.187 |
Dual form | 588.2.ba.b.283.21 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.978694 | − | 1.02086i | 0.692041 | − | 0.721858i | ||||
\(3\) | −0.988831 | − | 0.149042i | −0.570902 | − | 0.0860496i | ||||
\(4\) | −0.0843174 | − | 1.99822i | −0.0421587 | − | 0.999111i | ||||
\(5\) | 2.70941 | − | 1.06337i | 1.21169 | − | 0.475552i | 0.328469 | − | 0.944515i | \(-0.393467\pi\) |
0.883218 | + | 0.468963i | \(0.155372\pi\) | |||||||
\(6\) | −1.11991 | + | 0.863593i | −0.457203 | + | 0.352560i | ||||
\(7\) | −2.19729 | − | 1.47375i | −0.830496 | − | 0.557024i | ||||
\(8\) | −2.12243 | − | 1.86957i | −0.750392 | − | 0.660993i | ||||
\(9\) | 0.955573 | + | 0.294755i | 0.318524 | + | 0.0982517i | ||||
\(10\) | 1.56614 | − | 3.80665i | 0.495256 | − | 1.20377i | ||||
\(11\) | −0.192138 | − | 0.622896i | −0.0579317 | − | 0.187810i | 0.921982 | − | 0.387234i | \(-0.126569\pi\) |
−0.979913 | + | 0.199423i | \(0.936093\pi\) | |||||||
\(12\) | −0.214444 | + | 1.98847i | −0.0619046 | + | 0.574022i | ||||
\(13\) | −1.67169 | − | 0.381552i | −0.463644 | − | 0.105824i | −0.0156831 | − | 0.999877i | \(-0.504992\pi\) |
−0.447960 | + | 0.894053i | \(0.647849\pi\) | |||||||
\(14\) | −3.65496 | + | 0.800779i | −0.976830 | + | 0.214017i | ||||
\(15\) | −2.83764 | + | 0.647673i | −0.732675 | + | 0.167228i | ||||
\(16\) | −3.98578 | + | 0.336970i | −0.996445 | + | 0.0842425i | ||||
\(17\) | 1.43366 | − | 2.10279i | 0.347713 | − | 0.510002i | −0.612047 | − | 0.790821i | \(-0.709654\pi\) |
0.959761 | + | 0.280819i | \(0.0906062\pi\) | |||||||
\(18\) | 1.23612 | − | 0.687033i | 0.291356 | − | 0.161935i | ||||
\(19\) | 0.182971 | − | 0.316916i | 0.0419765 | − | 0.0727055i | −0.844274 | − | 0.535912i | \(-0.819968\pi\) |
0.886250 | + | 0.463207i | \(0.153301\pi\) | |||||||
\(20\) | −2.35329 | − | 5.32435i | −0.526212 | − | 1.19056i | ||||
\(21\) | 1.95309 | + | 1.78478i | 0.426200 | + | 0.389470i | ||||
\(22\) | −0.823934 | − | 0.413478i | −0.175663 | − | 0.0881538i | ||||
\(23\) | 2.51988 | + | 3.69599i | 0.525432 | + | 0.770667i | 0.993598 | − | 0.112973i | \(-0.0360375\pi\) |
−0.468166 | + | 0.883640i | \(0.655085\pi\) | |||||||
\(24\) | 1.82008 | + | 2.16502i | 0.371522 | + | 0.441933i | ||||
\(25\) | 2.54492 | − | 2.36134i | 0.508984 | − | 0.472268i | ||||
\(26\) | −2.02559 | + | 1.33314i | −0.397250 | + | 0.261451i | ||||
\(27\) | −0.900969 | − | 0.433884i | −0.173392 | − | 0.0835010i | ||||
\(28\) | −2.75960 | + | 4.51493i | −0.521516 | + | 0.853241i | ||||
\(29\) | 3.73489 | − | 1.79863i | 0.693551 | − | 0.333997i | −0.0536826 | − | 0.998558i | \(-0.517096\pi\) |
0.747234 | + | 0.664562i | \(0.231382\pi\) | |||||||
\(30\) | −2.11600 | + | 3.53071i | −0.386326 | + | 0.644617i | ||||
\(31\) | −3.29773 | − | 5.71184i | −0.592290 | − | 1.02588i | −0.993923 | − | 0.110076i | \(-0.964891\pi\) |
0.401633 | − | 0.915801i | \(-0.368443\pi\) | |||||||
\(32\) | −3.55686 | + | 4.39872i | −0.628770 | + | 0.777592i | ||||
\(33\) | 0.0971541 | + | 0.644575i | 0.0169124 | + | 0.112206i | ||||
\(34\) | −0.743546 | − | 3.52156i | −0.127517 | − | 0.603942i | ||||
\(35\) | −7.52049 | − | 1.65647i | −1.27120 | − | 0.279995i | ||||
\(36\) | 0.508415 | − | 1.93430i | 0.0847358 | − | 0.322383i | ||||
\(37\) | −0.0988249 | + | 1.31873i | −0.0162467 | + | 0.216797i | 0.983171 | + | 0.182686i | \(0.0584791\pi\) |
−0.999418 | + | 0.0341114i | \(0.989140\pi\) | |||||||
\(38\) | −0.144454 | − | 0.496952i | −0.0234336 | − | 0.0806163i | ||||
\(39\) | 1.59615 | + | 0.626443i | 0.255589 | + | 0.100311i | ||||
\(40\) | −7.73858 | − | 2.80852i | −1.22358 | − | 0.444066i | ||||
\(41\) | −5.90993 | − | 4.71302i | −0.922977 | − | 0.736049i | 0.0417982 | − | 0.999126i | \(-0.486691\pi\) |
−0.964775 | + | 0.263077i | \(0.915263\pi\) | |||||||
\(42\) | 3.73349 | − | 0.247091i | 0.576090 | − | 0.0381270i | ||||
\(43\) | 3.72336 | − | 2.96928i | 0.567807 | − | 0.452811i | −0.297027 | − | 0.954869i | \(-0.595995\pi\) |
0.864834 | + | 0.502058i | \(0.167424\pi\) | |||||||
\(44\) | −1.22848 | + | 0.436455i | −0.185201 | + | 0.0657981i | ||||
\(45\) | 2.90248 | − | 0.217510i | 0.432676 | − | 0.0324245i | ||||
\(46\) | 6.23929 | + | 1.04479i | 0.919933 | + | 0.154046i | ||||
\(47\) | 1.94447 | + | 1.80421i | 0.283631 | + | 0.263171i | 0.809139 | − | 0.587618i | \(-0.199934\pi\) |
−0.525508 | + | 0.850789i | \(0.676125\pi\) | |||||||
\(48\) | 3.99149 | + | 0.260844i | 0.576121 | + | 0.0376495i | ||||
\(49\) | 2.65614 | + | 6.47649i | 0.379448 | + | 0.925213i | ||||
\(50\) | 0.0800946 | − | 4.90904i | 0.0113271 | − | 0.694243i | ||||
\(51\) | −1.73105 | + | 1.86563i | −0.242396 | + | 0.261240i | ||||
\(52\) | −0.621474 | + | 3.37258i | −0.0861829 | + | 0.467693i | ||||
\(53\) | 0.210937 | + | 2.81476i | 0.0289745 | + | 0.386637i | 0.992773 | + | 0.120006i | \(0.0382915\pi\) |
−0.963799 | + | 0.266631i | \(0.914089\pi\) | |||||||
\(54\) | −1.32471 | + | 0.495125i | −0.180270 | + | 0.0673780i | ||||
\(55\) | −1.18295 | − | 1.48337i | −0.159509 | − | 0.200017i | ||||
\(56\) | 1.90831 | + | 7.23591i | 0.255009 | + | 0.966939i | ||||
\(57\) | −0.228162 | + | 0.286106i | −0.0302208 | + | 0.0378956i | ||||
\(58\) | 1.81916 | − | 5.57311i | 0.238867 | − | 0.731785i | ||||
\(59\) | −3.17717 | + | 8.09530i | −0.413632 | + | 1.05392i | 0.560543 | + | 0.828125i | \(0.310592\pi\) |
−0.974175 | + | 0.225793i | \(0.927503\pi\) | |||||||
\(60\) | 1.53346 | + | 5.61562i | 0.197968 | + | 0.724974i | ||||
\(61\) | 3.20233 | + | 0.239981i | 0.410016 | + | 0.0307264i | 0.278142 | − | 0.960540i | \(-0.410281\pi\) |
0.131874 | + | 0.991266i | \(0.457901\pi\) | |||||||
\(62\) | −9.05846 | − | 2.22361i | −1.15043 | − | 0.282399i | ||||
\(63\) | −1.66527 | − | 2.05593i | −0.209805 | − | 0.259023i | ||||
\(64\) | 1.00941 | + | 7.93606i | 0.126176 | + | 0.992008i | ||||
\(65\) | −4.93503 | + | 0.743836i | −0.612115 | + | 0.0922616i | ||||
\(66\) | 0.753106 | + | 0.531661i | 0.0927009 | + | 0.0654429i | ||||
\(67\) | 9.01042 | − | 5.20217i | 1.10080 | − | 0.635546i | 0.164367 | − | 0.986399i | \(-0.447442\pi\) |
0.936430 | + | 0.350853i | \(0.114108\pi\) | |||||||
\(68\) | −4.32273 | − | 2.68747i | −0.524207 | − | 0.325903i | ||||
\(69\) | −1.94088 | − | 4.03028i | −0.233654 | − | 0.485188i | ||||
\(70\) | −9.05129 | + | 6.05621i | −1.08184 | + | 0.723855i | ||||
\(71\) | 5.67442 | − | 11.7831i | 0.673430 | − | 1.39839i | −0.231501 | − | 0.972835i | \(-0.574364\pi\) |
0.904931 | − | 0.425558i | \(-0.139922\pi\) | |||||||
\(72\) | −1.47707 | − | 2.41211i | −0.174074 | − | 0.284270i | ||||
\(73\) | 6.46380 | + | 6.96632i | 0.756531 | + | 0.815346i | 0.987501 | − | 0.157615i | \(-0.0503804\pi\) |
−0.230970 | + | 0.972961i | \(0.574190\pi\) | |||||||
\(74\) | 1.24952 | + | 1.39152i | 0.145253 | + | 0.161760i | ||||
\(75\) | −2.86843 | + | 1.95566i | −0.331218 | + | 0.225821i | ||||
\(76\) | −0.648696 | − | 0.338896i | −0.0744105 | − | 0.0388740i | ||||
\(77\) | −0.495809 | + | 1.65184i | −0.0565026 | + | 0.188245i | ||||
\(78\) | 2.20166 | − | 1.01635i | 0.249288 | − | 0.115079i | ||||
\(79\) | 13.4287 | + | 7.75309i | 1.51085 | + | 0.872291i | 0.999920 | + | 0.0126698i | \(0.00403303\pi\) |
0.510932 | + | 0.859621i | \(0.329300\pi\) | |||||||
\(80\) | −10.4408 | + | 5.15134i | −1.16732 | + | 0.575937i | ||||
\(81\) | 0.826239 | + | 0.563320i | 0.0918043 | + | 0.0625911i | ||||
\(82\) | −10.5954 | + | 1.42063i | −1.17006 | + | 0.156882i | ||||
\(83\) | −1.33714 | − | 5.85838i | −0.146770 | − | 0.643040i | −0.993770 | − | 0.111448i | \(-0.964451\pi\) |
0.847000 | − | 0.531592i | \(-0.178406\pi\) | |||||||
\(84\) | 3.40170 | − | 4.05320i | 0.371156 | − | 0.442241i | ||||
\(85\) | 1.64834 | − | 7.22184i | 0.178787 | − | 0.783318i | ||||
\(86\) | 0.612804 | − | 6.70705i | 0.0660804 | − | 0.723240i | ||||
\(87\) | −3.96124 | + | 1.22188i | −0.424690 | + | 0.130999i | ||||
\(88\) | −0.756748 | + | 1.68127i | −0.0806696 | + | 0.179224i | ||||
\(89\) | 4.82757 | − | 15.6506i | 0.511721 | − | 1.65896i | −0.218569 | − | 0.975822i | \(-0.570139\pi\) |
0.730290 | − | 0.683138i | \(-0.239385\pi\) | |||||||
\(90\) | 2.61859 | − | 3.17590i | 0.276023 | − | 0.334770i | ||||
\(91\) | 3.11087 | + | 3.30203i | 0.326108 | + | 0.346147i | ||||
\(92\) | 7.17294 | − | 5.34692i | 0.747830 | − | 0.557455i | ||||
\(93\) | 2.40959 | + | 6.13954i | 0.249863 | + | 0.636641i | ||||
\(94\) | 3.74489 | − | 0.219272i | 0.386256 | − | 0.0226162i | ||||
\(95\) | 0.158748 | − | 1.05322i | 0.0162872 | − | 0.108058i | ||||
\(96\) | 4.17273 | − | 3.81947i | 0.425877 | − | 0.389823i | ||||
\(97\) | 11.1029i | 1.12733i | 0.826003 | + | 0.563666i | \(0.190610\pi\) | ||||
−0.826003 | + | 0.563666i | \(0.809390\pi\) | |||||||
\(98\) | 9.21115 | + | 3.62695i | 0.930466 | + | 0.366377i | ||||
\(99\) | − | 0.651856i | − | 0.0655140i | ||||||
\(100\) | −4.93306 | − | 4.88621i | −0.493306 | − | 0.488621i | ||||
\(101\) | −0.138034 | + | 0.915798i | −0.0137349 | + | 0.0911253i | −0.994648 | − | 0.103321i | \(-0.967053\pi\) |
0.980913 | + | 0.194447i | \(0.0622911\pi\) | |||||||
\(102\) | 0.210381 | + | 3.59304i | 0.0208308 | + | 0.355764i | ||||
\(103\) | −1.72009 | − | 4.38272i | −0.169485 | − | 0.431842i | 0.820743 | − | 0.571298i | \(-0.193560\pi\) |
−0.990228 | + | 0.139456i | \(0.955465\pi\) | |||||||
\(104\) | 2.83471 | + | 3.93516i | 0.277966 | + | 0.385874i | ||||
\(105\) | 7.18961 | + | 2.75884i | 0.701634 | + | 0.269235i | ||||
\(106\) | 3.07993 | + | 2.53945i | 0.299149 | + | 0.246653i | ||||
\(107\) | −5.43629 | + | 17.6240i | −0.525546 | + | 1.70378i | 0.170128 | + | 0.985422i | \(0.445582\pi\) |
−0.695675 | + | 0.718357i | \(0.744894\pi\) | |||||||
\(108\) | −0.791029 | + | 1.83692i | −0.0761168 | + | 0.176758i | ||||
\(109\) | 18.1768 | − | 5.60679i | 1.74102 | − | 0.537033i | 0.748938 | − | 0.662641i | \(-0.230564\pi\) |
0.992080 | + | 0.125608i | \(0.0400881\pi\) | |||||||
\(110\) | −2.67206 | − | 0.244138i | −0.254771 | − | 0.0232777i | ||||
\(111\) | 0.294267 | − | 1.28927i | 0.0279306 | − | 0.122372i | ||||
\(112\) | 9.25451 | + | 5.13361i | 0.874469 | + | 0.485081i | ||||
\(113\) | 0.455218 | + | 1.99444i | 0.0428233 | + | 0.187621i | 0.991816 | − | 0.127678i | \(-0.0407524\pi\) |
−0.948992 | + | 0.315299i | \(0.897895\pi\) | |||||||
\(114\) | 0.0687740 | + | 0.512931i | 0.00644127 | + | 0.0480404i | ||||
\(115\) | 10.7576 | + | 7.33441i | 1.00315 | + | 0.683937i | ||||
\(116\) | −3.90897 | − | 7.31148i | −0.362939 | − | 0.678853i | ||||
\(117\) | −1.48496 | − | 0.857341i | −0.137284 | − | 0.0792612i | ||||
\(118\) | 5.15470 | + | 11.1663i | 0.474529 | + | 1.02794i | ||||
\(119\) | −6.24914 | + | 2.50758i | −0.572858 | + | 0.229870i | ||||
\(120\) | 7.23356 | + | 3.93053i | 0.660330 | + | 0.358806i | ||||
\(121\) | 8.73754 | − | 5.95716i | 0.794322 | − | 0.541560i | ||||
\(122\) | 3.37908 | − | 3.03426i | 0.305928 | − | 0.274709i | ||||
\(123\) | 5.14149 | + | 5.54121i | 0.463592 | + | 0.499634i | ||||
\(124\) | −11.1355 | + | 7.07120i | −0.999994 | + | 0.635013i | ||||
\(125\) | −1.93007 | + | 4.00784i | −0.172631 | + | 0.358472i | ||||
\(126\) | −3.72862 | − | 0.312117i | −0.332172 | − | 0.0278056i | ||||
\(127\) | 5.39973 | + | 11.2126i | 0.479148 | + | 0.994962i | 0.990745 | + | 0.135736i | \(0.0433399\pi\) |
−0.511597 | + | 0.859226i | \(0.670946\pi\) | |||||||
\(128\) | 9.08953 | + | 6.73650i | 0.803408 | + | 0.595429i | ||||
\(129\) | −4.12432 | + | 2.38118i | −0.363126 | + | 0.209651i | ||||
\(130\) | −4.07053 | + | 5.76597i | −0.357009 | + | 0.505709i | ||||
\(131\) | 10.7142 | − | 1.61491i | 0.936104 | − | 0.141095i | 0.336764 | − | 0.941589i | \(-0.390668\pi\) |
0.599341 | + | 0.800494i | \(0.295430\pi\) | |||||||
\(132\) | 1.27981 | − | 0.248484i | 0.111393 | − | 0.0216278i | ||||
\(133\) | −0.869095 | + | 0.426701i | −0.0753601 | + | 0.0369997i | ||||
\(134\) | 3.50775 | − | 14.2897i | 0.303023 | − | 1.23444i | ||||
\(135\) | −2.90248 | − | 0.217510i | −0.249805 | − | 0.0187203i | ||||
\(136\) | −6.97415 | + | 1.78270i | −0.598029 | + | 0.152865i | ||||
\(137\) | −8.11545 | + | 20.6778i | −0.693350 | + | 1.76663i | −0.0529328 | + | 0.998598i | \(0.516857\pi\) |
−0.640417 | + | 0.768028i | \(0.721238\pi\) | |||||||
\(138\) | −6.01388 | − | 1.96304i | −0.511936 | − | 0.167105i | ||||
\(139\) | 0.695796 | − | 0.872501i | 0.0590167 | − | 0.0740045i | −0.751447 | − | 0.659793i | \(-0.770644\pi\) |
0.810464 | + | 0.585789i | \(0.199215\pi\) | |||||||
\(140\) | −2.67589 | + | 15.1673i | −0.226154 | + | 1.28187i | ||||
\(141\) | −1.65385 | − | 2.07387i | −0.139280 | − | 0.174651i | ||||
\(142\) | −6.47536 | − | 17.3248i | −0.543400 | − | 1.45387i | ||||
\(143\) | 0.0835277 | + | 1.11460i | 0.00698494 | + | 0.0932075i | ||||
\(144\) | −3.90803 | − | 0.852830i | −0.325669 | − | 0.0710692i | ||||
\(145\) | 8.20676 | − | 8.84478i | 0.681534 | − | 0.734519i | ||||
\(146\) | 13.4377 | + | 0.219247i | 1.11211 | + | 0.0181450i | ||||
\(147\) | −1.66120 | − | 6.80003i | −0.137014 | − | 0.560857i | ||||
\(148\) | 2.64344 | + | 0.0862824i | 0.217289 | + | 0.00709237i | ||||
\(149\) | −7.82263 | − | 7.25834i | −0.640855 | − | 0.594626i | 0.291324 | − | 0.956624i | \(-0.405904\pi\) |
−0.932179 | + | 0.361998i | \(0.882095\pi\) | |||||||
\(150\) | −0.810854 | + | 4.84227i | −0.0662060 | + | 0.395370i | ||||
\(151\) | 18.1084 | − | 1.35704i | 1.47364 | − | 0.110434i | 0.686465 | − | 0.727163i | \(-0.259162\pi\) |
0.787175 | + | 0.616729i | \(0.211543\pi\) | |||||||
\(152\) | −0.980840 | + | 0.330553i | −0.0795567 | + | 0.0268114i | ||||
\(153\) | 1.98977 | − | 1.58679i | 0.160864 | − | 0.128284i | ||||
\(154\) | 1.20106 | + | 2.12280i | 0.0967840 | + | 0.171060i | ||||
\(155\) | −15.0087 | − | 11.9690i | −1.20553 | − | 0.961376i | ||||
\(156\) | 1.11719 | − | 3.24229i | 0.0894467 | − | 0.259591i | ||||
\(157\) | −21.9832 | − | 8.62776i | −1.75445 | − | 0.688570i | −0.999461 | − | 0.0328303i | \(-0.989548\pi\) |
−0.754987 | − | 0.655740i | \(-0.772357\pi\) | |||||||
\(158\) | 21.0575 | − | 6.12099i | 1.67524 | − | 0.486960i | ||||
\(159\) | 0.210937 | − | 2.81476i | 0.0167284 | − | 0.223225i | ||||
\(160\) | −4.95955 | + | 15.7002i | −0.392087 | + | 1.24121i | ||||
\(161\) | −0.0899512 | − | 11.8348i | −0.00708915 | − | 0.932714i | ||||
\(162\) | 1.38371 | − | 0.292158i | 0.108714 | − | 0.0229541i | ||||
\(163\) | 0.839186 | + | 5.56763i | 0.0657301 | + | 0.436091i | 0.997356 | + | 0.0726717i | \(0.0231525\pi\) |
−0.931626 | + | 0.363419i | \(0.881609\pi\) | |||||||
\(164\) | −8.91934 | + | 12.2067i | −0.696483 | + | 0.953187i | ||||
\(165\) | 0.948650 | + | 1.64311i | 0.0738523 | + | 0.127916i | ||||
\(166\) | −7.28924 | − | 4.36853i | −0.565755 | − | 0.339063i | ||||
\(167\) | −3.27159 | + | 1.57551i | −0.253163 | + | 0.121917i | −0.556162 | − | 0.831074i | \(-0.687727\pi\) |
0.302999 | + | 0.952991i | \(0.402012\pi\) | |||||||
\(168\) | −0.808541 | − | 7.43951i | −0.0623803 | − | 0.573970i | ||||
\(169\) | −9.06363 | − | 4.36481i | −0.697202 | − | 0.335755i | ||||
\(170\) | −5.75928 | − | 8.75069i | −0.441717 | − | 0.671147i | ||||
\(171\) | 0.268255 | − | 0.248904i | 0.0205140 | − | 0.0190342i | ||||
\(172\) | −6.24723 | − | 7.18974i | −0.476347 | − | 0.548212i | ||||
\(173\) | −6.86412 | − | 10.0678i | −0.521870 | − | 0.765442i | 0.471319 | − | 0.881963i | \(-0.343778\pi\) |
−0.993188 | + | 0.116521i | \(0.962826\pi\) | |||||||
\(174\) | −2.62947 | + | 5.23973i | −0.199340 | + | 0.397223i | ||||
\(175\) | −9.07193 | + | 1.43797i | −0.685774 | + | 0.108701i | ||||
\(176\) | 0.975716 | + | 2.41798i | 0.0735474 | + | 0.182262i | ||||
\(177\) | 4.34822 | − | 7.53135i | 0.326833 | − | 0.566091i | ||||
\(178\) | −11.2524 | − | 20.2454i | −0.843401 | − | 1.51746i | ||||
\(179\) | 1.69991 | − | 2.49330i | 0.127057 | − | 0.186358i | −0.757439 | − | 0.652906i | \(-0.773550\pi\) |
0.884496 | + | 0.466547i | \(0.154502\pi\) | |||||||
\(180\) | −0.679363 | − | 5.78145i | −0.0506368 | − | 0.430924i | ||||
\(181\) | −15.3081 | + | 3.49397i | −1.13784 | + | 0.259705i | −0.749624 | − | 0.661864i | \(-0.769766\pi\) |
−0.388216 | + | 0.921568i | \(0.626909\pi\) | |||||||
\(182\) | 6.41551 | + | 0.0559055i | 0.475549 | + | 0.00414399i | ||||
\(183\) | −3.13079 | − | 0.714583i | −0.231435 | − | 0.0528235i | ||||
\(184\) | 1.56164 | − | 12.5556i | 0.115126 | − | 0.925609i | ||||
\(185\) | 1.13453 | + | 3.67806i | 0.0834125 | + | 0.270417i | ||||
\(186\) | 8.62588 | + | 3.54887i | 0.632480 | + | 0.260216i | ||||
\(187\) | −1.58528 | − | 0.488994i | −0.115927 | − | 0.0357588i | ||||
\(188\) | 3.44126 | − | 4.03762i | 0.250979 | − | 0.294474i | ||||
\(189\) | 1.34025 | + | 2.28117i | 0.0974890 | + | 0.165931i | ||||
\(190\) | −0.919829 | − | 1.19284i | −0.0667314 | − | 0.0865378i | ||||
\(191\) | −6.66548 | + | 2.61601i | −0.482297 | + | 0.189288i | −0.594018 | − | 0.804452i | \(-0.702459\pi\) |
0.111720 | + | 0.993740i | \(0.464364\pi\) | |||||||
\(192\) | 0.184672 | − | 7.99787i | 0.0133275 | − | 0.577196i | ||||
\(193\) | 3.28829 | + | 0.495630i | 0.236696 | + | 0.0356762i | 0.266319 | − | 0.963885i | \(-0.414193\pi\) |
−0.0296228 | + | 0.999561i | \(0.509431\pi\) | |||||||
\(194\) | 11.3346 | + | 10.8664i | 0.813774 | + | 0.780160i | ||||
\(195\) | 4.99078 | 0.357397 | ||||||||
\(196\) | 12.7175 | − | 5.85363i | 0.908393 | − | 0.418117i | ||||
\(197\) | 9.06822 | 0.646084 | 0.323042 | − | 0.946385i | \(-0.395295\pi\) | ||||
0.323042 | + | 0.946385i | \(0.395295\pi\) | |||||||
\(198\) | −0.665455 | − | 0.637967i | −0.0472918 | − | 0.0453383i | ||||
\(199\) | 19.9461 | + | 3.00639i | 1.41394 | + | 0.213117i | 0.811176 | − | 0.584802i | \(-0.198828\pi\) |
0.602765 | + | 0.797919i | \(0.294066\pi\) | |||||||
\(200\) | −9.81610 | + | 0.253871i | −0.694103 | + | 0.0179514i | ||||
\(201\) | −9.68512 | + | 3.80113i | −0.683136 | + | 0.268111i | ||||
\(202\) | 0.799810 | + | 1.03720i | 0.0562744 | + | 0.0729771i | ||||
\(203\) | −10.8573 | − | 1.55218i | −0.762036 | − | 0.108942i | ||||
\(204\) | 3.87390 | + | 3.30172i | 0.271227 | + | 0.231166i | ||||
\(205\) | −21.0241 | − | 6.48508i | −1.46839 | − | 0.452938i | ||||
\(206\) | −6.15759 | − | 2.53336i | −0.429020 | − | 0.176508i | ||||
\(207\) | 1.31852 | + | 4.27453i | 0.0916434 | + | 0.297101i | ||||
\(208\) | 6.79156 | + | 0.957475i | 0.470910 | + | 0.0663890i | ||||
\(209\) | −0.232561 | − | 0.0530806i | −0.0160866 | − | 0.00367166i | ||||
\(210\) | 9.85282 | − | 4.63954i | 0.679909 | − | 0.320159i | ||||
\(211\) | −14.4007 | + | 3.28686i | −0.991382 | + | 0.226277i | −0.687304 | − | 0.726370i | \(-0.741206\pi\) |
−0.304079 | + | 0.952647i | \(0.598349\pi\) | |||||||
\(212\) | 5.60673 | − | 0.658833i | 0.385072 | − | 0.0452488i | ||||
\(213\) | −7.36722 | + | 10.8057i | −0.504794 | + | 0.740396i | ||||
\(214\) | 12.6712 | + | 22.7982i | 0.866187 | + | 1.55845i | ||||
\(215\) | 6.93069 | − | 12.0043i | 0.472669 | − | 0.818687i | ||||
\(216\) | 1.10107 | + | 2.60531i | 0.0749181 | + | 0.177269i | ||||
\(217\) | −1.17174 | + | 17.4106i | −0.0795432 | + | 1.18191i | ||||
\(218\) | 12.0657 | − | 24.0433i | 0.817194 | − | 1.62842i | ||||
\(219\) | −5.35333 | − | 7.85189i | −0.361744 | − | 0.530582i | ||||
\(220\) | −2.86436 | + | 2.48887i | −0.193115 | + | 0.167799i | ||||
\(221\) | −3.19896 | + | 2.96820i | −0.215185 | + | 0.199663i | ||||
\(222\) | −1.02817 | − | 1.56220i | −0.0690061 | − | 0.104848i | ||||
\(223\) | 3.46204 | + | 1.66723i | 0.231835 | + | 0.111646i | 0.546195 | − | 0.837658i | \(-0.316076\pi\) |
−0.314360 | + | 0.949304i | \(0.601790\pi\) | |||||||
\(224\) | 14.2980 | − | 4.42334i | 0.955328 | − | 0.295547i | ||||
\(225\) | 3.12787 | − | 1.50630i | 0.208525 | − | 0.100420i | ||||
\(226\) | 2.48157 | + | 1.48723i | 0.165071 | + | 0.0989291i | ||||
\(227\) | −6.72753 | − | 11.6524i | −0.446522 | − | 0.773399i | 0.551635 | − | 0.834086i | \(-0.314004\pi\) |
−0.998157 | + | 0.0606871i | \(0.980671\pi\) | |||||||
\(228\) | 0.590941 | + | 0.431794i | 0.0391360 | + | 0.0285963i | ||||
\(229\) | 1.36439 | + | 9.05217i | 0.0901618 | + | 0.598184i | 0.987594 | + | 0.157031i | \(0.0501923\pi\) |
−0.897432 | + | 0.441153i | \(0.854570\pi\) | |||||||
\(230\) | 18.0158 | − | 3.80388i | 1.18793 | − | 0.250821i | ||||
\(231\) | 0.736465 | − | 1.55950i | 0.0484559 | − | 0.102607i | ||||
\(232\) | −11.2897 | − | 3.16518i | −0.741205 | − | 0.207804i | ||||
\(233\) | 0.428847 | − | 5.72257i | 0.0280947 | − | 0.374898i | −0.965380 | − | 0.260847i | \(-0.915998\pi\) |
0.993475 | − | 0.114051i | \(-0.0363827\pi\) | |||||||
\(234\) | −2.32854 | + | 0.676862i | −0.152222 | + | 0.0442479i | ||||
\(235\) | 7.18692 | + | 2.82066i | 0.468823 | + | 0.184000i | ||||
\(236\) | 16.4441 | + | 5.66612i | 1.07042 | + | 0.368833i | ||||
\(237\) | −12.1232 | − | 9.66795i | −0.787488 | − | 0.628001i | ||||
\(238\) | −3.55610 | + | 8.83367i | −0.230508 | + | 0.572602i | ||||
\(239\) | −16.3451 | + | 13.0348i | −1.05728 | + | 0.843151i | −0.988001 | − | 0.154447i | \(-0.950641\pi\) |
−0.0692765 | + | 0.997597i | \(0.522069\pi\) | |||||||
\(240\) | 11.0920 | − | 3.53768i | 0.715983 | − | 0.228356i | ||||
\(241\) | −22.4965 | + | 1.68588i | −1.44913 | + | 0.108597i | −0.775909 | − | 0.630844i | \(-0.782709\pi\) |
−0.673221 | + | 0.739442i | \(0.735090\pi\) | |||||||
\(242\) | 2.46995 | − | 14.7501i | 0.158774 | − | 0.948170i | ||||
\(243\) | −0.733052 | − | 0.680173i | −0.0470253 | − | 0.0436331i | ||||
\(244\) | 0.209524 | − | 6.41919i | 0.0134134 | − | 0.410947i | ||||
\(245\) | 14.0835 | + | 14.7230i | 0.899760 | + | 0.940621i | ||||
\(246\) | 10.6887 | + | 0.174395i | 0.681489 | + | 0.0111190i | ||||
\(247\) | −0.426792 | + | 0.459972i | −0.0271561 | + | 0.0292673i | ||||
\(248\) | −3.67948 | + | 18.2883i | −0.233647 | + | 1.16131i | ||||
\(249\) | 0.449056 | + | 5.99223i | 0.0284578 | + | 0.379742i | ||||
\(250\) | 2.20250 | + | 5.89278i | 0.139298 | + | 0.372692i | ||||
\(251\) | −9.51756 | − | 11.9346i | −0.600743 | − | 0.753308i | 0.384751 | − | 0.923021i | \(-0.374287\pi\) |
−0.985494 | + | 0.169713i | \(0.945716\pi\) | |||||||
\(252\) | −3.96780 | + | 3.50094i | −0.249948 | + | 0.220538i | ||||
\(253\) | 1.81805 | − | 2.27976i | 0.114300 | − | 0.143327i | ||||
\(254\) | 16.7312 | + | 5.46137i | 1.04981 | + | 0.342677i | ||||
\(255\) | −2.70629 | + | 6.89550i | −0.169474 | + | 0.431813i | ||||
\(256\) | 15.7729 | − | 2.68618i | 0.985806 | − | 0.167886i | ||||
\(257\) | −22.8510 | − | 1.71244i | −1.42541 | − | 0.106819i | −0.660434 | − | 0.750884i | \(-0.729628\pi\) |
−0.764971 | + | 0.644065i | \(0.777247\pi\) | |||||||
\(258\) | −1.60559 | + | 6.54081i | −0.0999599 | + | 0.407213i | ||||
\(259\) | 2.16062 | − | 2.75198i | 0.134254 | − | 0.171000i | ||||
\(260\) | 1.90246 | + | 9.79857i | 0.117986 | + | 0.607682i | ||||
\(261\) | 4.09911 | − | 0.617841i | 0.253729 | − | 0.0382434i | ||||
\(262\) | 8.83733 | − | 12.5182i | 0.545972 | − | 0.773378i | ||||
\(263\) | 0.346778 | − | 0.200212i | 0.0213832 | − | 0.0123456i | −0.489270 | − | 0.872132i | \(-0.662737\pi\) |
0.510654 | + | 0.859787i | \(0.329404\pi\) | |||||||
\(264\) | 0.998876 | − | 1.54970i | 0.0614766 | − | 0.0953775i | ||||
\(265\) | 3.56464 | + | 7.40205i | 0.218974 | + | 0.454705i | ||||
\(266\) | −0.414974 | + | 1.30484i | −0.0254437 | + | 0.0800046i | ||||
\(267\) | −7.10625 | + | 14.7563i | −0.434895 | + | 0.903069i | ||||
\(268\) | −11.1548 | − | 17.5662i | −0.681389 | − | 1.07303i | ||||
\(269\) | −0.611380 | − | 0.658911i | −0.0372765 | − | 0.0401745i | 0.714138 | − | 0.700005i | \(-0.246819\pi\) |
−0.751415 | + | 0.659830i | \(0.770628\pi\) | |||||||
\(270\) | −3.06268 | + | 2.75015i | −0.186389 | + | 0.167369i | ||||
\(271\) | 5.31106 | − | 3.62102i | 0.322624 | − | 0.219961i | −0.391168 | − | 0.920319i | \(-0.627929\pi\) |
0.713791 | + | 0.700358i | \(0.246976\pi\) | |||||||
\(272\) | −5.00567 | + | 8.86436i | −0.303513 | + | 0.537481i | ||||
\(273\) | −2.58398 | − | 3.72880i | −0.156390 | − | 0.225677i | ||||
\(274\) | 13.1667 | + | 28.5220i | 0.795427 | + | 1.72308i | ||||
\(275\) | −1.95984 | − | 1.13152i | −0.118183 | − | 0.0682330i | ||||
\(276\) | −7.88974 | + | 4.21813i | −0.474906 | + | 0.253902i | ||||
\(277\) | −14.8212 | − | 10.1050i | −0.890522 | − | 0.607148i | 0.0292623 | − | 0.999572i | \(-0.490684\pi\) |
−0.919784 | + | 0.392424i | \(0.871637\pi\) | |||||||
\(278\) | −0.209731 | − | 1.56422i | −0.0125789 | − | 0.0938158i | ||||
\(279\) | −1.46763 | − | 6.43010i | −0.0878646 | − | 0.384960i | ||||
\(280\) | 12.8648 | + | 17.5758i | 0.768821 | + | 1.05036i | ||||
\(281\) | 1.45854 | − | 6.39028i | 0.0870092 | − | 0.381212i | −0.912609 | − | 0.408833i | \(-0.865936\pi\) |
0.999618 | + | 0.0276206i | \(0.00879303\pi\) | |||||||
\(282\) | −3.73575 | − | 0.341324i | −0.222460 | − | 0.0203256i | ||||
\(283\) | −16.4969 | + | 5.08863i | −0.980640 | + | 0.302487i | −0.743314 | − | 0.668943i | \(-0.766747\pi\) |
−0.237326 | + | 0.971430i | \(0.576271\pi\) | |||||||
\(284\) | −24.0236 | − | 10.3452i | −1.42554 | − | 0.613877i | ||||
\(285\) | −0.313949 | + | 1.01780i | −0.0185967 | + | 0.0602892i | ||||
\(286\) | 1.21960 | + | 1.00558i | 0.0721165 | + | 0.0594613i | ||||
\(287\) | 6.04003 | + | 19.0656i | 0.356532 | + | 1.12541i | ||||
\(288\) | −4.69538 | + | 3.15490i | −0.276678 | + | 0.185904i | ||||
\(289\) | 3.84444 | + | 9.79549i | 0.226144 | + | 0.576205i | ||||
\(290\) | −0.997397 | − | 17.0343i | −0.0585692 | − | 1.00029i | ||||
\(291\) | 1.65481 | − | 10.9789i | 0.0970065 | − | 0.643596i | ||||
\(292\) | 13.3752 | − | 13.5035i | 0.782727 | − | 0.790232i | ||||
\(293\) | 27.4307i | 1.60252i | 0.598319 | + | 0.801258i | \(0.295836\pi\) | ||||
−0.598319 | + | 0.801258i | \(0.704164\pi\) | |||||||
\(294\) | −8.56770 | − | 4.95929i | −0.499678 | − | 0.289232i | ||||
\(295\) | 25.3120i | 1.47372i | ||||||||
\(296\) | 2.67520 | − | 2.61414i | 0.155493 | − | 0.151944i | ||||
\(297\) | −0.0971541 | + | 0.644575i | −0.00563745 | + | 0.0374020i | ||||
\(298\) | −15.0657 | + | 0.882133i | −0.872734 | + | 0.0511006i | ||||
\(299\) | −2.80225 | − | 7.14002i | −0.162058 | − | 0.412918i | ||||
\(300\) | 4.14971 | + | 5.56687i | 0.239584 | + | 0.321403i | ||||
\(301\) | −12.5573 | + | 1.03707i | −0.723789 | + | 0.0597757i | ||||
\(302\) | 16.3372 | − | 19.8143i | 0.940101 | − | 1.14018i | ||||
\(303\) | 0.272985 | − | 0.884996i | 0.0156826 | − | 0.0508417i | ||||
\(304\) | −0.622493 | + | 1.32481i | −0.0357024 | + | 0.0759832i | ||||
\(305\) | 8.93162 | − | 2.75504i | 0.511423 | − | 0.157753i | ||||
\(306\) | 0.327484 | − | 3.58427i | 0.0187210 | − | 0.204899i | ||||
\(307\) | 5.26503 | − | 23.0676i | 0.300491 | − | 1.31654i | −0.568897 | − | 0.822409i | \(-0.692630\pi\) |
0.869389 | − | 0.494129i | \(-0.164513\pi\) | |||||||
\(308\) | 3.34255 | + | 0.851457i | 0.190460 | + | 0.0485162i | ||||
\(309\) | 1.04767 | + | 4.59013i | 0.0595997 | + | 0.261123i | ||||
\(310\) | −26.9076 | + | 3.60778i | −1.52825 | + | 0.204908i | ||||
\(311\) | 26.7166 | + | 18.2151i | 1.51496 | + | 1.03288i | 0.982464 | + | 0.186453i | \(0.0596991\pi\) |
0.532498 | + | 0.846431i | \(0.321253\pi\) | |||||||
\(312\) | −2.21654 | − | 4.31370i | −0.125487 | − | 0.244215i | ||||
\(313\) | 23.9208 | + | 13.8107i | 1.35209 | + | 0.780627i | 0.988541 | − | 0.150950i | \(-0.0482333\pi\) |
0.363544 | + | 0.931577i | \(0.381567\pi\) | |||||||
\(314\) | −30.3225 | + | 13.9978i | −1.71120 | + | 0.789944i | ||||
\(315\) | −6.69813 | − | 3.79958i | −0.377397 | − | 0.214082i | ||||
\(316\) | 14.3601 | − | 27.4873i | 0.807820 | − | 1.54628i | ||||
\(317\) | −11.5406 | + | 7.86824i | −0.648184 | + | 0.441925i | −0.842267 | − | 0.539061i | \(-0.818779\pi\) |
0.194083 | + | 0.980985i | \(0.437827\pi\) | |||||||
\(318\) | −2.66704 | − | 2.97013i | −0.149560 | − | 0.166556i | ||||
\(319\) | −1.83797 | − | 1.98086i | −0.102907 | − | 0.110907i | ||||
\(320\) | 11.1739 | + | 20.4287i | 0.624638 | + | 1.14200i | ||||
\(321\) | 8.00230 | − | 16.6169i | 0.446645 | − | 0.927467i | ||||
\(322\) | −12.1697 | − | 11.4908i | −0.678193 | − | 0.640359i | ||||
\(323\) | −0.404089 | − | 0.839100i | −0.0224841 | − | 0.0466888i | ||||
\(324\) | 1.05597 | − | 1.69851i | 0.0586651 | − | 0.0943614i | ||||
\(325\) | −5.15529 | + | 2.97641i | −0.285964 | + | 0.165101i | ||||
\(326\) | 6.50509 | + | 4.59232i | 0.360284 | + | 0.254345i | ||||
\(327\) | −18.8094 | + | 2.83506i | −1.04016 | + | 0.156779i | ||||
\(328\) | 3.73210 | + | 21.0521i | 0.206071 | + | 1.16241i | ||||
\(329\) | −1.61362 | − | 6.83003i | −0.0889618 | − | 0.376552i | ||||
\(330\) | 2.60583 | + | 0.639661i | 0.143446 | + | 0.0352122i | ||||
\(331\) | −17.5915 | − | 1.31830i | −0.966918 | − | 0.0724605i | −0.418099 | − | 0.908402i | \(-0.637303\pi\) |
−0.548819 | + | 0.835941i | \(0.684922\pi\) | |||||||
\(332\) | −11.5936 | + | 3.16586i | −0.636281 | + | 0.173749i | ||||
\(333\) | −0.483136 | + | 1.23101i | −0.0264757 | + | 0.0674589i | ||||
\(334\) | −1.59350 | + | 4.88178i | −0.0871925 | + | 0.267119i | ||||
\(335\) | 18.8811 | − | 23.6762i | 1.03159 | − | 1.29357i | ||||
\(336\) | −8.38602 | − | 6.45559i | −0.457495 | − | 0.352181i | ||||
\(337\) | −10.1399 | − | 12.7150i | −0.552353 | − | 0.692629i | 0.424771 | − | 0.905301i | \(-0.360355\pi\) |
−0.977124 | + | 0.212672i | \(0.931783\pi\) | |||||||
\(338\) | −13.3264 | + | 4.98090i | −0.724860 | + | 0.270925i | ||||
\(339\) | −0.152878 | − | 2.04001i | −0.00830317 | − | 0.110798i | ||||
\(340\) | −14.5698 | − | 2.68482i | −0.790159 | − | 0.145605i | ||||
\(341\) | −2.92426 | + | 3.15160i | −0.158358 | + | 0.170669i | ||||
\(342\) | 0.00844263 | − | 0.517453i | 0.000456525 | − | 0.0279806i | ||||
\(343\) | 3.70841 | − | 18.1452i | 0.200235 | − | 0.979748i | ||||
\(344\) | −13.4539 | − | 0.658997i | −0.725383 | − | 0.0355307i | ||||
\(345\) | −9.54431 | − | 8.85582i | −0.513848 | − | 0.476782i | ||||
\(346\) | −16.9957 | − | 2.84599i | −0.913696 | − | 0.153001i | ||||
\(347\) | −30.4077 | + | 2.27874i | −1.63237 | + | 0.122329i | −0.859120 | − | 0.511774i | \(-0.828989\pi\) |
−0.773249 | + | 0.634103i | \(0.781370\pi\) | |||||||
\(348\) | 2.77559 | + | 7.81241i | 0.148787 | + | 0.418789i | ||||
\(349\) | −6.18010 | + | 4.92847i | −0.330813 | + | 0.263815i | −0.774783 | − | 0.632227i | \(-0.782141\pi\) |
0.443970 | + | 0.896042i | \(0.353570\pi\) | |||||||
\(350\) | −7.41067 | + | 10.6685i | −0.396117 | + | 0.570257i | ||||
\(351\) | 1.34059 | + | 1.06909i | 0.0715555 | + | 0.0570636i | ||||
\(352\) | 3.42335 | + | 1.37039i | 0.182465 | + | 0.0730421i | ||||
\(353\) | 32.8266 | + | 12.8835i | 1.74718 | + | 0.685719i | 0.999772 | + | 0.0213576i | \(0.00679884\pi\) |
0.747411 | + | 0.664361i | \(0.231296\pi\) | |||||||
\(354\) | −3.43288 | − | 11.8098i | −0.182456 | − | 0.627685i | ||||
\(355\) | 2.84465 | − | 37.9592i | 0.150978 | − | 2.01466i | ||||
\(356\) | −31.6804 | − | 8.32693i | −1.67906 | − | 0.441327i | ||||
\(357\) | 6.55308 | − | 1.54819i | 0.346826 | − | 0.0819389i | ||||
\(358\) | −0.881632 | − | 4.17555i | −0.0465957 | − | 0.220685i | ||||
\(359\) | 1.09276 | + | 7.24997i | 0.0576736 | + | 0.382639i | 0.998983 | + | 0.0450935i | \(0.0143586\pi\) |
−0.941309 | + | 0.337545i | \(0.890403\pi\) | |||||||
\(360\) | −6.56695 | − | 4.96473i | −0.346109 | − | 0.261664i | ||||
\(361\) | 9.43304 | + | 16.3385i | 0.496476 | + | 0.859922i | ||||
\(362\) | −11.4151 | + | 19.0470i | −0.599962 | + | 1.00109i | ||||
\(363\) | −9.52782 | + | 4.58836i | −0.500081 | + | 0.240826i | ||||
\(364\) | 6.33589 | − | 6.49463i | 0.332091 | − | 0.340411i | ||||
\(365\) | 24.9209 | + | 12.0013i | 1.30442 | + | 0.628175i | ||||
\(366\) | −3.79358 | + | 2.49675i | −0.198293 | + | 0.130507i | ||||
\(367\) | 0.0814429 | − | 0.0755680i | 0.00425128 | − | 0.00394462i | −0.678044 | − | 0.735021i | \(-0.737172\pi\) |
0.682296 | + | 0.731076i | \(0.260982\pi\) | |||||||
\(368\) | −11.2891 | − | 13.8823i | −0.588487 | − | 0.723664i | ||||
\(369\) | −4.25819 | − | 6.24561i | −0.221672 | − | 0.325134i | ||||
\(370\) | 4.86515 | + | 2.44150i | 0.252927 | + | 0.126927i | ||||
\(371\) | 3.68476 | − | 6.49571i | 0.191303 | − | 0.337240i | ||||
\(372\) | 12.0650 | − | 5.33257i | 0.625541 | − | 0.276481i | ||||
\(373\) | 0.800553 | − | 1.38660i | 0.0414511 | − | 0.0717954i | −0.844556 | − | 0.535468i | \(-0.820135\pi\) |
0.886007 | + | 0.463673i | \(0.153469\pi\) | |||||||
\(374\) | −2.05070 | + | 1.13978i | −0.106039 | + | 0.0589364i | ||||
\(375\) | 2.50585 | − | 3.67541i | 0.129402 | − | 0.189797i | ||||
\(376\) | −0.753914 | − | 7.46464i | −0.0388801 | − | 0.384959i | ||||
\(377\) | −6.92984 | + | 1.58169i | −0.356905 | + | 0.0814613i | ||||
\(378\) | 3.64045 | + | 0.864352i | 0.187245 | + | 0.0444575i | ||||
\(379\) | −20.7164 | − | 4.72839i | −1.06413 | − | 0.242881i | −0.345605 | − | 0.938380i | \(-0.612326\pi\) |
−0.718527 | + | 0.695499i | \(0.755183\pi\) | |||||||
\(380\) | −2.11796 | − | 0.228408i | −0.108649 | − | 0.0117171i | ||||
\(381\) | −3.66826 | − | 11.8922i | −0.187931 | − | 0.609256i | ||||
\(382\) | −3.85288 | + | 9.36481i | −0.197131 | + | 0.479145i | ||||
\(383\) | 20.2947 | + | 6.26010i | 1.03701 | + | 0.319876i | 0.766095 | − | 0.642727i | \(-0.222197\pi\) |
0.270917 | + | 0.962603i | \(0.412673\pi\) | |||||||
\(384\) | −7.98398 | − | 8.01599i | −0.407431 | − | 0.409064i | ||||
\(385\) | 0.413164 | + | 5.00275i | 0.0210568 | + | 0.254964i | ||||
\(386\) | 3.72420 | − | 2.87182i | 0.189557 | − | 0.146172i | ||||
\(387\) | 4.43315 | − | 1.73988i | 0.225350 | − | 0.0884433i | ||||
\(388\) | 22.1861 | − | 0.936171i | 1.12633 | − | 0.0475269i | ||||
\(389\) | −6.58447 | − | 0.992450i | −0.333846 | − | 0.0503192i | −0.0200197 | − | 0.999800i | \(-0.506373\pi\) |
−0.313826 | + | 0.949480i | \(0.601611\pi\) | |||||||
\(390\) | 4.88444 | − | 5.09489i | 0.247333 | − | 0.257990i | ||||
\(391\) | 11.3845 | 0.575741 | ||||||||
\(392\) | 6.47079 | − | 18.7117i | 0.326824 | − | 0.945085i | ||||
\(393\) | −10.8352 | −0.546565 | ||||||||
\(394\) | 8.87501 | − | 9.25740i | 0.447116 | − | 0.466381i | ||||
\(395\) | 44.6284 | + | 6.72665i | 2.24550 | + | 0.338455i | ||||
\(396\) | −1.30255 | + | 0.0549628i | −0.0654557 | + | 0.00276198i | ||||
\(397\) | 14.9987 | − | 5.88655i | 0.752762 | − | 0.295437i | 0.0422356 | − | 0.999108i | \(-0.486552\pi\) |
0.710527 | + | 0.703670i | \(0.248457\pi\) | |||||||
\(398\) | 22.5902 | − | 17.4199i | 1.13235 | − | 0.873179i | ||||
\(399\) | 0.922984 | − | 0.292404i | 0.0462070 | − | 0.0146385i | ||||
\(400\) | −9.34779 | + | 10.2693i | −0.467389 | + | 0.513467i | ||||
\(401\) | −21.5560 | − | 6.64916i | −1.07646 | − | 0.332043i | −0.294677 | − | 0.955597i | \(-0.595212\pi\) |
−0.781780 | + | 0.623554i | \(0.785688\pi\) | |||||||
\(402\) | −5.59834 | + | 13.6073i | −0.279220 | + | 0.678671i | ||||
\(403\) | 3.33342 | + | 10.8067i | 0.166049 | + | 0.538319i | ||||
\(404\) | 1.84161 | + | 0.198606i | 0.0916233 | + | 0.00988099i | ||||
\(405\) | 2.83764 | + | 0.647673i | 0.141003 | + | 0.0321831i | ||||
\(406\) | −12.2106 | + | 9.56473i | −0.606000 | + | 0.474690i | ||||
\(407\) | 0.840417 | − | 0.191820i | 0.0416579 | − | 0.00950815i | ||||
\(408\) | 7.16196 | − | 0.723344i | 0.354570 | − | 0.0358109i | ||||
\(409\) | 12.8619 | − | 18.8649i | 0.635980 | − | 0.932811i | −0.364019 | − | 0.931391i | \(-0.618596\pi\) |
0.999999 | − | 0.00141941i | \(-0.000451814\pi\) | |||||||
\(410\) | −27.1966 | + | 15.1158i | −1.34314 | + | 0.746517i | ||||
\(411\) | 11.1067 | − | 19.2373i | 0.547852 | − | 0.948907i | ||||
\(412\) | −8.61261 | + | 3.80666i | −0.424313 | + | 0.187541i | ||||
\(413\) | 18.9116 | − | 13.1053i | 0.930578 | − | 0.644872i | ||||
\(414\) | 5.65414 | + | 2.83743i | 0.277886 | + | 0.139452i | ||||
\(415\) | −9.85246 | − | 14.4509i | −0.483638 | − | 0.709367i | ||||
\(416\) | 7.62431 | − | 5.99617i | 0.373813 | − | 0.293987i | ||||
\(417\) | −0.818064 | + | 0.759053i | −0.0400608 | + | 0.0371710i | ||||
\(418\) | −0.281794 | + | 0.185463i | −0.0137830 | + | 0.00907130i | ||||
\(419\) | −34.0797 | − | 16.4119i | −1.66490 | − | 0.801774i | −0.998416 | − | 0.0562554i | \(-0.982084\pi\) |
−0.666485 | − | 0.745519i | \(-0.732202\pi\) | |||||||
\(420\) | 4.90657 | − | 14.5991i | 0.239416 | − | 0.712361i | ||||
\(421\) | 19.0608 | − | 9.17921i | 0.928968 | − | 0.447367i | 0.0927034 | − | 0.995694i | \(-0.470449\pi\) |
0.836264 | + | 0.548326i | \(0.184735\pi\) | |||||||
\(422\) | −10.7384 | + | 17.9179i | −0.522738 | + | 0.872230i | ||||
\(423\) | 1.32629 | + | 2.29720i | 0.0644863 | + | 0.111694i | ||||
\(424\) | 4.81470 | − | 6.36850i | 0.233822 | − | 0.309281i | ||||
\(425\) | −1.31686 | − | 8.73678i | −0.0638770 | − | 0.423796i | ||||
\(426\) | 3.82090 | + | 18.0964i | 0.185123 | + | 0.876774i | ||||
\(427\) | −6.68276 | − | 5.24673i | −0.323401 | − | 0.253907i | ||||
\(428\) | 35.6751 | + | 9.37691i | 1.72442 | + | 0.453250i | ||||
\(429\) | 0.0835277 | − | 1.11460i | 0.00403275 | − | 0.0538134i | ||||
\(430\) | −5.47172 | − | 18.8238i | −0.263870 | − | 0.907765i | ||||
\(431\) | 30.8079 | + | 12.0912i | 1.48397 | + | 0.582413i | 0.962602 | − | 0.270921i | \(-0.0873283\pi\) |
0.521364 | + | 0.853335i | \(0.325424\pi\) | |||||||
\(432\) | 3.73727 | + | 1.42577i | 0.179810 | + | 0.0685972i | ||||
\(433\) | −14.6778 | − | 11.7051i | −0.705369 | − | 0.562513i | 0.203764 | − | 0.979020i | \(-0.434683\pi\) |
−0.909132 | + | 0.416507i | \(0.863254\pi\) | |||||||
\(434\) | 16.6270 | + | 18.2358i | 0.798122 | + | 0.875346i | ||||
\(435\) | −9.43334 | + | 7.52284i | −0.452294 | + | 0.360692i | ||||
\(436\) | −12.7362 | − | 35.8484i | −0.609954 | − | 1.71683i | ||||
\(437\) | 1.63238 | − | 0.122330i | 0.0780875 | − | 0.00585185i | ||||
\(438\) | −13.2550 | − | 2.21959i | −0.633347 | − | 0.106056i | ||||
\(439\) | 12.8184 | + | 11.8937i | 0.611789 | + | 0.567657i | 0.924018 | − | 0.382350i | \(-0.124885\pi\) |
−0.312228 | + | 0.950007i | \(0.601075\pi\) | |||||||
\(440\) | −0.262541 | + | 5.35995i | −0.0125162 | + | 0.255526i | ||||
\(441\) | 0.629154 | + | 6.97167i | 0.0299597 | + | 0.331984i | ||||
\(442\) | −0.100679 | + | 6.17065i | −0.00478880 | + | 0.293508i | ||||
\(443\) | −16.5765 | + | 17.8653i | −0.787575 | + | 0.848804i | −0.991490 | − | 0.130185i | \(-0.958443\pi\) |
0.203915 | + | 0.978989i | \(0.434633\pi\) | |||||||
\(444\) | −2.60106 | − | 0.479303i | −0.123441 | − | 0.0227467i | ||||
\(445\) | −3.56244 | − | 47.5374i | −0.168876 | − | 2.25349i | ||||
\(446\) | 5.09029 | − | 1.90256i | 0.241032 | − | 0.0900887i | ||||
\(447\) | 6.65346 | + | 8.34317i | 0.314698 | + | 0.394619i | ||||
\(448\) | 9.47778 | − | 18.9254i | 0.447783 | − | 0.894142i | ||||
\(449\) | −11.6399 | + | 14.5960i | −0.549322 | + | 0.688828i | −0.976544 | − | 0.215319i | \(-0.930921\pi\) |
0.427222 | + | 0.904147i | \(0.359492\pi\) | |||||||
\(450\) | 1.52350 | − | 4.66733i | 0.0718185 | − | 0.220020i | ||||
\(451\) | −1.80019 | + | 4.58682i | −0.0847679 | + | 0.215985i | ||||
\(452\) | 3.94695 | − | 1.07779i | 0.185649 | − | 0.0506951i | ||||
\(453\) | −18.1084 | − | 1.35704i | −0.850806 | − | 0.0637591i | ||||
\(454\) | −18.4797 | − | 4.53628i | −0.867296 | − | 0.212898i | ||||
\(455\) | 11.9399 | + | 5.63857i | 0.559752 | + | 0.264340i | ||||
\(456\) | 1.01915 | − | 0.180675i | 0.0477262 | − | 0.00846087i | ||||
\(457\) | 7.15305 | − | 1.07815i | 0.334605 | − | 0.0504336i | 0.0204092 | − | 0.999792i | \(-0.493503\pi\) |
0.314196 | + | 0.949358i | \(0.398265\pi\) | |||||||
\(458\) | 10.5763 | + | 7.46644i | 0.494200 | + | 0.348884i | ||||
\(459\) | −2.20405 | + | 1.27251i | −0.102876 | + | 0.0593956i | ||||
\(460\) | 13.7487 | − | 22.1145i | 0.641037 | − | 1.03109i | ||||
\(461\) | −9.87349 | − | 20.5025i | −0.459854 | − | 0.954898i | −0.993987 | − | 0.109497i | \(-0.965076\pi\) |
0.534133 | − | 0.845401i | \(-0.320638\pi\) | |||||||
\(462\) | −0.871257 | − | 2.27810i | −0.0405345 | − | 0.105987i | ||||
\(463\) | −4.00358 | + | 8.31352i | −0.186062 | + | 0.386362i | −0.973046 | − | 0.230612i | \(-0.925927\pi\) |
0.786984 | + | 0.616974i | \(0.211642\pi\) | |||||||
\(464\) | −14.2804 | + | 8.42748i | −0.662949 | + | 0.391236i | ||||
\(465\) | 13.0572 | + | 14.0723i | 0.605512 | + | 0.652586i | ||||
\(466\) | −5.42224 | − | 6.03843i | −0.251180 | − | 0.279725i | ||||
\(467\) | 4.32942 | − | 2.95175i | 0.200342 | − | 0.136591i | −0.458994 | − | 0.888439i | \(-0.651790\pi\) |
0.659336 | + | 0.751849i | \(0.270838\pi\) | |||||||
\(468\) | −1.58795 | + | 3.03956i | −0.0734030 | + | 0.140504i | ||||
\(469\) | −27.4652 | − | 1.84843i | −1.26822 | − | 0.0853524i | ||||
\(470\) | 9.91330 | − | 4.57629i | 0.457266 | − | 0.211089i | ||||
\(471\) | 20.4517 | + | 11.8078i | 0.942366 | + | 0.544075i | ||||
\(472\) | 21.8780 | − | 11.2417i | 1.00702 | − | 0.517443i | ||||
\(473\) | −2.56495 | − | 1.74875i | −0.117937 | − | 0.0804078i | ||||
\(474\) | −21.7346 | + | 2.91417i | −0.998301 | + | 0.133852i | ||||
\(475\) | −0.282698 | − | 1.23858i | −0.0129711 | − | 0.0568301i | ||||
\(476\) | 5.53762 | + | 12.2757i | 0.253816 | + | 0.562657i | ||||
\(477\) | −0.628100 | + | 2.75189i | −0.0287587 | + | 0.126000i | ||||
\(478\) | −2.69014 | + | 29.4432i | −0.123044 | + | 1.34670i | ||||
\(479\) | 7.97506 | − | 2.45998i | 0.364390 | − | 0.112399i | −0.107153 | − | 0.994243i | \(-0.534174\pi\) |
0.471543 | + | 0.881843i | \(0.343697\pi\) | |||||||
\(480\) | 7.24415 | − | 14.7857i | 0.330649 | − | 0.674870i | ||||
\(481\) | 0.668368 | − | 2.16680i | 0.0304749 | − | 0.0987974i | ||||
\(482\) | −20.2962 | + | 24.6158i | −0.924465 | + | 1.12122i | ||||
\(483\) | −1.67494 | + | 11.7160i | −0.0762125 | + | 0.533098i | ||||
\(484\) | −12.6404 | − | 16.9573i | −0.574566 | − | 0.770785i | ||||
\(485\) | 11.8065 | + | 30.0825i | 0.536105 | + | 1.36597i | ||||
\(486\) | −1.41180 | + | 0.0826639i | −0.0640403 | + | 0.00374971i | ||||
\(487\) | −1.69136 | + | 11.2215i | −0.0766429 | + | 0.508493i | 0.917265 | + | 0.398278i | \(0.130392\pi\) |
−0.993908 | + | 0.110215i | \(0.964846\pi\) | |||||||
\(488\) | −6.34805 | − | 6.49632i | −0.287363 | − | 0.294075i | ||||
\(489\) | − | 5.63052i | − | 0.254621i | ||||||
\(490\) | 28.8136 | + | 0.0320836i | 1.30167 | + | 0.00144939i | ||||
\(491\) | 28.3147i | 1.27783i | 0.769279 | + | 0.638913i | \(0.220616\pi\) | ||||
−0.769279 | + | 0.638913i | \(0.779384\pi\) | |||||||
\(492\) | 10.6390 | − | 10.7411i | 0.479645 | − | 0.484244i | ||||
\(493\) | 1.57242 | − | 10.4323i | 0.0708181 | − | 0.469847i | ||||
\(494\) | 0.0518695 | + | 0.885867i | 0.00233372 | + | 0.0398570i | ||||
\(495\) | −0.693162 | − | 1.76615i | −0.0311553 | − | 0.0793824i | ||||
\(496\) | 15.0687 | + | 21.6549i | 0.676607 | + | 0.972333i | ||||
\(497\) | −29.8336 | + | 17.5281i | −1.33822 | + | 0.786243i | ||||
\(498\) | 6.55673 | + | 5.40614i | 0.293814 | + | 0.242255i | ||||
\(499\) | 2.25663 | − | 7.31581i | 0.101021 | − | 0.327501i | −0.890928 | − | 0.454145i | \(-0.849945\pi\) |
0.991948 | + | 0.126645i | \(0.0404209\pi\) | |||||||
\(500\) | 8.17129 | + | 3.51878i | 0.365431 | + | 0.157365i | ||||
\(501\) | 3.46987 | − | 1.07031i | 0.155022 | − | 0.0478180i | ||||
\(502\) | −21.4984 | − | 1.96425i | −0.959520 | − | 0.0876686i | ||||
\(503\) | −0.554258 | + | 2.42836i | −0.0247131 | + | 0.108275i | −0.985780 | − | 0.168040i | \(-0.946256\pi\) |
0.961067 | + | 0.276315i | \(0.0891134\pi\) | |||||||
\(504\) | −0.309291 | + | 7.47692i | −0.0137769 | + | 0.333049i | ||||
\(505\) | 0.599837 | + | 2.62806i | 0.0266924 | + | 0.116947i | ||||
\(506\) | −0.548009 | − | 4.08717i | −0.0243620 | − | 0.181697i | ||||
\(507\) | 8.31185 | + | 5.66693i | 0.369142 | + | 0.251677i | ||||
\(508\) | 21.9501 | − | 11.7353i | 0.973877 | − | 0.520669i | ||||
\(509\) | 17.3945 | + | 10.0427i | 0.771000 | + | 0.445137i | 0.833231 | − | 0.552925i | \(-0.186488\pi\) |
−0.0622315 | + | 0.998062i | \(0.519822\pi\) | |||||||
\(510\) | 4.39073 | + | 9.51133i | 0.194425 | + | 0.421169i | ||||
\(511\) | −3.93623 | − | 24.8330i | −0.174128 | − | 1.09855i | ||||
\(512\) | 12.6946 | − | 18.7309i | 0.561028 | − | 0.827797i | ||||
\(513\) | −0.302356 | + | 0.206143i | −0.0133494 | + | 0.00910143i | ||||
\(514\) | −24.1123 | + | 21.6517i | −1.06355 | + | 0.955017i | ||||
\(515\) | −9.32087 | − | 10.0455i | −0.410727 | − | 0.442658i | ||||
\(516\) | 5.10588 | + | 8.04054i | 0.224774 | + | 0.353965i | ||||
\(517\) | 0.750226 | − | 1.55786i | 0.0329949 | − | 0.0685147i | ||||
\(518\) | −0.694807 | − | 4.89903i | −0.0305281 | − | 0.215251i | ||||
\(519\) | 5.28693 | + | 10.9784i | 0.232070 | + | 0.481899i | ||||
\(520\) | 11.8649 | + | 7.64765i | 0.520311 | + | 0.335372i | ||||
\(521\) | −16.4516 | + | 9.49833i | −0.720758 | + | 0.416130i | −0.815031 | − | 0.579417i | \(-0.803280\pi\) |
0.0942739 | + | 0.995546i | \(0.469947\pi\) | |||||||
\(522\) | 3.38104 | − | 4.78930i | 0.147984 | − | 0.209622i | ||||
\(523\) | −3.62664 | + | 0.546629i | −0.158582 | + | 0.0239024i | −0.227853 | − | 0.973695i | \(-0.573171\pi\) |
0.0692713 | + | 0.997598i | \(0.477933\pi\) | |||||||
\(524\) | −4.13034 | − | 21.2732i | −0.180435 | − | 0.929324i | ||||
\(525\) | 9.18492 | − | 0.0698105i | 0.400863 | − | 0.00304678i | ||||
\(526\) | 0.135000 | − | 0.549958i | 0.00588629 | − | 0.0239793i | ||||
\(527\) | −16.7386 | − | 1.25439i | −0.729146 | − | 0.0546419i | ||||
\(528\) | −0.604437 | − | 2.53640i | −0.0263048 | − | 0.110383i | ||||
\(529\) | 1.09232 | − | 2.78318i | 0.0474921 | − | 0.121008i | ||||
\(530\) | 11.0452 | + | 3.60534i | 0.479771 | + | 0.156606i | ||||
\(531\) | −5.42215 | + | 6.79916i | −0.235301 | + | 0.295058i | ||||
\(532\) | 0.925924 | + | 1.70067i | 0.0401439 | + | 0.0737332i | ||||
\(533\) | 8.08132 | + | 10.1337i | 0.350041 | + | 0.438937i | ||||
\(534\) | 8.10928 | + | 21.6964i | 0.350923 | + | 0.938894i | ||||
\(535\) | 4.01164 | + | 53.5316i | 0.173438 | + | 2.31437i | ||||
\(536\) | −28.8498 | − | 5.80438i | −1.24612 | − | 0.250711i | ||||
\(537\) | −2.05253 | + | 2.21210i | −0.0885731 | + | 0.0954591i | ||||
\(538\) | −1.27101 | − | 0.0207375i | −0.0547972 | − | 0.000894057i | ||||
\(539\) | 3.52383 | − | 2.89888i | 0.151782 | − | 0.124863i | ||||
\(540\) | −0.189905 | + | 5.81813i | −0.00817221 | + | 0.250372i | ||||
\(541\) | 16.0738 | + | 14.9143i | 0.691067 | + | 0.641217i | 0.945405 | − | 0.325899i | \(-0.105667\pi\) |
−0.254338 | + | 0.967116i | \(0.581857\pi\) | |||||||
\(542\) | 1.50134 | − | 8.96572i | 0.0644880 | − | 0.385111i | ||||
\(543\) | 15.6578 | − | 1.17339i | 0.671942 | − | 0.0503551i | ||||
\(544\) | 4.15027 | + | 13.7856i | 0.177941 | + | 0.591053i | ||||
\(545\) | 43.2863 | − | 34.5197i | 1.85418 | − | 1.47866i | ||||
\(546\) | −6.33552 | − | 1.01146i | −0.271135 | − | 0.0432866i | ||||
\(547\) | −26.3625 | − | 21.0234i | −1.12718 | − | 0.898895i | −0.131459 | − | 0.991322i | \(-0.541966\pi\) |
−0.995720 | + | 0.0924264i | \(0.970538\pi\) | |||||||
\(548\) | 42.0032 | + | 14.4730i | 1.79429 | + | 0.618254i | ||||
\(549\) | 2.98932 | + | 1.17322i | 0.127581 | + | 0.0500719i | ||||
\(550\) | −3.07321 | + | 0.893321i | −0.131042 | + | 0.0380913i | ||||
\(551\) | 0.113364 | − | 1.51274i | 0.00482948 | − | 0.0644450i | ||||
\(552\) | −3.41551 | + | 12.1826i | −0.145374 | + | 0.518525i | ||||
\(553\) | −18.0807 | − | 36.8263i | −0.768870 | − | 1.56602i | ||||
\(554\) | −24.8212 | + | 5.24079i | −1.05455 | + | 0.222660i | ||||
\(555\) | −0.573674 | − | 3.80608i | −0.0243511 | − | 0.161559i | ||||
\(556\) | −1.80212 | − | 1.31679i | −0.0764268 | − | 0.0558442i | ||||
\(557\) | 14.8417 | + | 25.7065i | 0.628862 | + | 1.08922i | 0.987780 | + | 0.155852i | \(0.0498121\pi\) |
−0.358919 | + | 0.933369i | \(0.616855\pi\) | |||||||
\(558\) | −8.00060 | − | 4.79485i | −0.338692 | − | 0.202982i | ||||
\(559\) | −7.35724 | + | 3.54306i | −0.311178 | + | 0.149856i | ||||
\(560\) | 30.5332 | + | 4.06815i | 1.29026 | + | 0.171911i | ||||
\(561\) | 1.49469 | + | 0.719806i | 0.0631060 | + | 0.0303902i | ||||
\(562\) | −5.09613 | − | 7.74310i | −0.214967 | − | 0.326623i | ||||
\(563\) | 18.0104 | − | 16.7112i | 0.759049 | − | 0.704295i | −0.202392 | − | 0.979305i | \(-0.564872\pi\) |
0.961441 | + | 0.275010i | \(0.0886811\pi\) | |||||||
\(564\) | −4.00460 | + | 3.47963i | −0.168624 | + | 0.146519i | ||||
\(565\) | 3.35419 | + | 4.91970i | 0.141112 | + | 0.206973i | ||||
\(566\) | −10.9507 | + | 21.8213i | −0.460290 | + | 0.917217i | ||||
\(567\) | −0.985292 | − | 2.45544i | −0.0413784 | − | 0.103119i | ||||
\(568\) | −34.0728 | + | 14.4000i | −1.42966 | + | 0.604210i | ||||
\(569\) | 17.3101 | − | 29.9819i | 0.725676 | − | 1.25691i | −0.233019 | − | 0.972472i | \(-0.574860\pi\) |
0.958695 | − | 0.284436i | \(-0.0918063\pi\) | |||||||
\(570\) | 0.731771 | + | 1.31661i | 0.0306505 | + | 0.0551468i | ||||
\(571\) | −5.98920 | + | 8.78454i | −0.250640 | + | 0.367622i | −0.930854 | − | 0.365393i | \(-0.880935\pi\) |
0.680213 | + | 0.733014i | \(0.261887\pi\) | |||||||
\(572\) | 2.22017 | − | 0.260887i | 0.0928301 | − | 0.0109082i | ||||
\(573\) | 6.98093 | − | 1.59335i | 0.291633 | − | 0.0665632i | ||||
\(574\) | 25.3747 | + | 12.4933i | 1.05912 | + | 0.521462i | ||||
\(575\) | 15.1404 | + | 3.45569i | 0.631397 | + | 0.144112i | ||||
\(576\) | −1.37463 | + | 7.88101i | −0.0572762 | + | 0.328376i | ||||
\(577\) | 13.1685 | + | 42.6913i | 0.548212 | + | 1.77726i | 0.625468 | + | 0.780249i | \(0.284908\pi\) |
−0.0772561 | + | 0.997011i | \(0.524616\pi\) | |||||||
\(578\) | 13.7624 | + | 5.66213i | 0.572439 | + | 0.235514i | ||||
\(579\) | −3.17769 | − | 0.980188i | −0.132060 | − | 0.0407352i | ||||
\(580\) | −18.3658 | − | 15.6531i | −0.762598 | − | 0.649962i | ||||
\(581\) | −5.69570 | + | 14.8431i | −0.236297 | + | 0.615797i | ||||
\(582\) | −9.58842 | − | 12.4343i | −0.397453 | − | 0.515420i | ||||
\(583\) | 1.71277 | − | 0.672214i | 0.0709359 | − | 0.0278403i | ||||
\(584\) | −0.694931 | − | 26.8701i | −0.0287565 | − | 1.11189i | ||||
\(585\) | −4.93503 | − | 0.743836i | −0.204038 | − | 0.0307539i | ||||
\(586\) | 28.0029 | + | 26.8462i | 1.15679 | + | 1.10901i | ||||
\(587\) | −36.6298 | −1.51188 | −0.755938 | − | 0.654644i | \(-0.772819\pi\) | ||||
−0.755938 | + | 0.654644i | \(0.772819\pi\) | |||||||
\(588\) | −13.4479 | + | 3.89281i | −0.554582 | + | 0.160537i | ||||
\(589\) | −2.41356 | −0.0994491 | ||||||||
\(590\) | 25.8401 | + | 24.7727i | 1.06382 | + | 1.01988i | ||||
\(591\) | −8.96693 | − | 1.35155i | −0.368850 | − | 0.0555952i | ||||
\(592\) | −0.0504767 | − | 5.28945i | −0.00207458 | − | 0.217395i | ||||
\(593\) | 9.17723 | − | 3.60180i | 0.376864 | − | 0.147908i | −0.169346 | − | 0.985557i | \(-0.554165\pi\) |
0.546210 | + | 0.837649i | \(0.316070\pi\) | |||||||
\(594\) | 0.562938 | + | 0.730022i | 0.0230976 | + | 0.0299532i | ||||
\(595\) | −14.2650 | + | 13.4392i | −0.584809 | + | 0.550954i | ||||
\(596\) | −13.8442 | + | 16.2434i | −0.567080 | + | 0.665354i | ||||
\(597\) | −19.2752 | − | 5.94562i | −0.788883 | − | 0.243338i | ||||
\(598\) | −10.0315 | − | 4.12718i | −0.410219 | − | 0.168773i | ||||
\(599\) | −1.45041 | − | 4.70212i | −0.0592623 | − | 0.192124i | 0.921101 | − | 0.389324i | \(-0.127291\pi\) |
−0.980363 | + | 0.197200i | \(0.936815\pi\) | |||||||
\(600\) | 9.74430 | + | 1.21198i | 0.397809 | + | 0.0494788i | ||||
\(601\) | 29.8944 | + | 6.82320i | 1.21942 | + | 0.278324i | 0.783345 | − | 0.621588i | \(-0.213512\pi\) |
0.436072 | + | 0.899912i | \(0.356369\pi\) | |||||||
\(602\) | −11.2310 | + | 13.8342i | −0.457742 | + | 0.563840i | ||||
\(603\) | 10.1435 | − | 2.31518i | 0.413074 | − | 0.0942815i | ||||
\(604\) | −4.23851 | − | 36.0702i | −0.172463 | − | 1.46767i | ||||
\(605\) | 17.3390 | − | 25.4316i | 0.704930 | − | 1.03394i | ||||
\(606\) | −0.636290 | − | 1.14482i | −0.0258475 | − | 0.0465052i | ||||
\(607\) | 10.7775 | − | 18.6671i | 0.437444 | − | 0.757675i | −0.560048 | − | 0.828460i | \(-0.689217\pi\) |
0.997492 | + | 0.0707851i | \(0.0225505\pi\) | |||||||
\(608\) | 0.743221 | + | 1.93207i | 0.0301416 | + | 0.0783556i | ||||
\(609\) | 10.5047 | + | 3.15305i | 0.425673 | + | 0.127768i | ||||
\(610\) | 5.92880 | − | 11.8143i | 0.240050 | − | 0.478347i | ||||
\(611\) | −2.56216 | − | 3.75800i | −0.103654 | − | 0.152032i | ||||
\(612\) | −3.33853 | − | 3.84221i | −0.134952 | − | 0.155312i | ||||
\(613\) | 27.3919 | − | 25.4159i | 1.10635 | − | 1.02654i | 0.106868 | − | 0.994273i | \(-0.465918\pi\) |
0.999479 | − | 0.0322669i | \(-0.0102727\pi\) | |||||||
\(614\) | −18.3960 | − | 27.9510i | −0.742401 | − | 1.12801i | ||||
\(615\) | 19.8228 | + | 9.54613i | 0.799331 | + | 0.384937i | ||||
\(616\) | 4.14056 | − | 2.57897i | 0.166828 | − | 0.103910i | ||||
\(617\) | −8.52251 | + | 4.10423i | −0.343103 | + | 0.165230i | −0.597498 | − | 0.801871i | \(-0.703838\pi\) |
0.254394 | + | 0.967101i | \(0.418124\pi\) | |||||||
\(618\) | 5.71124 | + | 3.42281i | 0.229740 | + | 0.137686i | ||||
\(619\) | −3.39346 | − | 5.87765i | −0.136395 | − | 0.236243i | 0.789735 | − | 0.613449i | \(-0.210218\pi\) |
−0.926129 | + | 0.377206i | \(0.876885\pi\) | |||||||
\(620\) | −22.6513 | + | 30.9999i | −0.909698 | + | 1.24499i | ||||
\(621\) | −0.666706 | − | 4.42331i | −0.0267540 | − | 0.177501i | ||||
\(622\) | 44.7425 | − | 9.44700i | 1.79401 | − | 0.378790i | ||||
\(623\) | −33.6726 | + | 27.2742i | −1.34906 | + | 1.09272i | ||||
\(624\) | −6.57300 | − | 1.95901i | −0.263131 | − | 0.0784232i | ||||
\(625\) | −2.26476 | + | 30.2211i | −0.0905904 | + | 1.20884i | ||||
\(626\) | 37.5100 | − | 10.9034i | 1.49920 | − | 0.435788i | ||||
\(627\) | 0.222052 | + | 0.0871492i | 0.00886792 | + | 0.00348040i | ||||
\(628\) | −15.3866 | + | 44.6547i | −0.613993 | + | 1.78192i | ||||
\(629\) | 2.63132 | + | 2.09841i | 0.104918 | + | 0.0836691i | ||||
\(630\) | −10.4343 | + | 3.11923i | −0.415711 | + | 0.124273i | ||||
\(631\) | −10.9717 | + | 8.74961i | −0.436775 | + | 0.348317i | −0.817060 | − | 0.576553i | \(-0.804397\pi\) |
0.380285 | + | 0.924870i | \(0.375826\pi\) | |||||||
\(632\) | −14.0066 | − | 41.5614i | −0.557153 | − | 1.65322i | ||||
\(633\) | 14.7297 | − | 1.10384i | 0.585453 | − | 0.0438736i | ||||
\(634\) | −3.26232 | + | 19.4820i | −0.129563 | + | 0.773727i | ||||
\(635\) | 26.5533 | + | 24.6378i | 1.05373 | + | 0.977722i | ||||
\(636\) | −5.64230 | − | 0.184166i | −0.223732 | − | 0.00730265i | ||||
\(637\) | −1.96912 | − | 11.8401i | −0.0780194 | − | 0.469124i | ||||
\(638\) | −3.82099 | − | 0.0623424i | −0.151275 | − | 0.00246816i | ||||
\(639\) | 8.89544 | − | 9.58701i | 0.351898 | − | 0.379256i | ||||
\(640\) | 31.7907 | + | 8.58648i | 1.25664 | + | 0.339410i | ||||
\(641\) | −0.439010 | − | 5.85818i | −0.0173398 | − | 0.231384i | −0.999140 | − | 0.0414666i | \(-0.986797\pi\) |
0.981800 | − | 0.189918i | \(-0.0608221\pi\) | |||||||
\(642\) | −9.13180 | − | 24.4321i | −0.360404 | − | 0.964260i | ||||
\(643\) | −6.79678 | − | 8.52289i | −0.268039 | − | 0.336110i | 0.629537 | − | 0.776971i | \(-0.283245\pi\) |
−0.897576 | + | 0.440861i | \(0.854673\pi\) | |||||||
\(644\) | −23.6410 | + | 1.17762i | −0.931586 | + | 0.0464049i | ||||
\(645\) | −8.64243 | + | 10.8373i | −0.340295 | + | 0.426717i | ||||
\(646\) | −1.25208 | − | 0.408702i | −0.0492626 | − | 0.0160802i | ||||
\(647\) | 2.47885 | − | 6.31600i | 0.0974536 | − | 0.248308i | −0.873830 | − | 0.486231i | \(-0.838371\pi\) |
0.971284 | + | 0.237923i | \(0.0764666\pi\) | |||||||
\(648\) | −0.700467 | − | 2.74032i | −0.0275169 | − | 0.107650i | ||||
\(649\) | 5.65298 | + | 0.423632i | 0.221899 | + | 0.0166290i | ||||
\(650\) | −2.00695 | + | 8.17583i | −0.0787190 | + | 0.320682i | ||||
\(651\) | 3.75357 | − | 17.0415i | 0.147114 | − | 0.667908i | ||||
\(652\) | 11.0546 | − | 2.14633i | 0.432932 | − | 0.0840567i | ||||
\(653\) | 33.7316 | − | 5.08422i | 1.32002 | − | 0.198961i | 0.549027 | − | 0.835805i | \(-0.314998\pi\) |
0.770993 | + | 0.636844i | \(0.219760\pi\) | |||||||
\(654\) | −15.5144 | + | 21.9764i | −0.606662 | + | 0.859347i | ||||
\(655\) | 27.3120 | − | 15.7686i | 1.06717 | − | 0.616129i | ||||
\(656\) | 25.1438 | + | 16.7936i | 0.981702 | + | 0.655679i | ||||
\(657\) | 4.12327 | + | 8.56206i | 0.160864 | + | 0.334038i | ||||
\(658\) | −8.55175 | − | 5.03722i | −0.333382 | − | 0.196371i | ||||
\(659\) | 11.4860 | − | 23.8508i | 0.447430 | − | 0.929097i | −0.548256 | − | 0.836310i | \(-0.684708\pi\) |
0.995686 | − | 0.0927868i | \(-0.0295775\pi\) | |||||||
\(660\) | 3.20331 | − | 2.03416i | 0.124689 | − | 0.0791794i | ||||
\(661\) | 7.37968 | + | 7.95340i | 0.287036 | + | 0.309352i | 0.860066 | − | 0.510183i | \(-0.170422\pi\) |
−0.573029 | + | 0.819535i | \(0.694232\pi\) | |||||||
\(662\) | −18.5625 | + | 16.6683i | −0.721453 | + | 0.647832i | ||||
\(663\) | 3.60562 | − | 2.45827i | 0.140031 | − | 0.0954712i | ||||
\(664\) | −8.11467 | + | 14.9339i | −0.314910 | + | 0.579546i | ||||
\(665\) | −1.90100 | + | 2.08028i | −0.0737175 | + | 0.0806697i | ||||
\(666\) | 0.783849 | + | 1.69800i | 0.0303735 | + | 0.0657960i | ||||
\(667\) | 16.0592 | + | 9.27177i | 0.621814 | + | 0.359004i | ||||
\(668\) | 3.42408 | + | 6.40452i | 0.132482 | + | 0.247798i | ||||
\(669\) | −3.17489 | − | 2.16460i | −0.122748 | − | 0.0836883i | ||||
\(670\) | −5.69128 | − | 42.4468i | −0.219873 | − | 1.63986i | ||||
\(671\) | −0.465805 | − | 2.04082i | −0.0179822 | − | 0.0787852i | ||||
\(672\) | −14.7976 | + | 2.24292i | −0.570830 | + | 0.0865227i | ||||
\(673\) | 1.42970 | − | 6.26391i | 0.0551108 | − | 0.241456i | −0.939869 | − | 0.341536i | \(-0.889053\pi\) |
0.994979 | + | 0.100080i | \(0.0319099\pi\) | |||||||
\(674\) | −22.9040 | − | 2.09268i | −0.882231 | − | 0.0806069i | ||||
\(675\) | −3.31744 | + | 1.02329i | −0.127688 | + | 0.0393866i | ||||
\(676\) | −7.95764 | + | 18.4792i | −0.306063 | + | 0.710737i | ||||
\(677\) | −9.03948 | + | 29.3053i | −0.347415 | + | 1.12629i | 0.598293 | + | 0.801277i | \(0.295846\pi\) |
−0.945709 | + | 0.325016i | \(0.894630\pi\) | |||||||
\(678\) | −2.23219 | − | 1.84048i | −0.0857267 | − | 0.0706831i | ||||
\(679\) | 16.3629 | − | 24.3963i | 0.627951 | − | 0.936245i | ||||
\(680\) | −17.0002 | + | 12.2462i | −0.651928 | + | 0.469619i | ||||
\(681\) | 4.91569 | + | 12.5250i | 0.188369 | + | 0.479958i | ||||
\(682\) | 0.355396 | + | 6.06972i | 0.0136088 | + | 0.232421i | ||||
\(683\) | −0.738313 | + | 4.89839i | −0.0282508 | + | 0.187432i | −0.998505 | − | 0.0546556i | \(-0.982594\pi\) |
0.970255 | + | 0.242087i | \(0.0778320\pi\) | |||||||
\(684\) | −0.519985 | − | 0.515046i | −0.0198821 | − | 0.0196933i | ||||
\(685\) | 64.6545i | 2.47032i | ||||||||
\(686\) | −14.8943 | − | 21.5444i | −0.568668 | − | 0.822567i | ||||
\(687\) | − | 9.15442i | − | 0.349263i | ||||||
\(688\) | −13.8399 | + | 13.0896i | −0.527643 | + | 0.499035i | ||||
\(689\) | 0.721358 | − | 4.78589i | 0.0274815 | − | 0.182328i | ||||
\(690\) | −18.3815 | + | 1.07628i | −0.699773 | + | 0.0409733i | ||||
\(691\) | 12.3484 | + | 31.4631i | 0.469754 | + | 1.19691i | 0.947881 | + | 0.318624i | \(0.103221\pi\) |
−0.478127 | + | 0.878291i | \(0.658684\pi\) | |||||||
\(692\) | −19.5390 | + | 14.5649i | −0.742760 | + | 0.553676i | ||||
\(693\) | −0.960671 | + | 1.43231i | −0.0364929 | + | 0.0544091i | ||||
\(694\) | −27.4335 | + | 33.2722i | −1.04136 | + | 1.26300i | ||||
\(695\) | 0.957412 | − | 3.10385i | 0.0363167 | − | 0.117736i | ||||
\(696\) | 10.6918 | + | 4.81247i | 0.405273 | + | 0.182416i | ||||
\(697\) | −18.3833 | + | 5.67050i | −0.696318 | + | 0.214786i | ||||
\(698\) | −1.01714 | + | 11.1325i | −0.0384995 | + | 0.421371i | ||||
\(699\) | −1.27696 | + | 5.59473i | −0.0482991 | + | 0.211612i | ||||
\(700\) | 3.63831 | + | 18.0065i | 0.137515 | + | 0.680581i | ||||
\(701\) | 2.23126 | + | 9.77578i | 0.0842734 | + | 0.369226i | 0.999426 | − | 0.0338820i | \(-0.0107870\pi\) |
−0.915152 | + | 0.403108i | \(0.867930\pi\) | |||||||
\(702\) | 2.40342 | − | 0.322251i | 0.0907112 | − | 0.0121626i | ||||
\(703\) | 0.399843 | + | 0.272608i | 0.0150804 | + | 0.0102816i | ||||
\(704\) | 4.74939 | − | 2.15358i | 0.178999 | − | 0.0811659i | ||||
\(705\) | −6.68625 | − | 3.86031i | −0.251819 | − | 0.145388i | ||||
\(706\) | 45.2794 | − | 20.9024i | 1.70411 | − | 0.786673i | ||||
\(707\) | 1.65296 | − | 1.80884i | 0.0621658 | − | 0.0680286i | ||||
\(708\) | −15.4159 | − | 8.05369i | −0.579366 | − | 0.302676i | ||||
\(709\) | 30.4504 | − | 20.7607i | 1.14359 | − | 0.779685i | 0.165159 | − | 0.986267i | \(-0.447186\pi\) |
0.978429 | + | 0.206582i | \(0.0662339\pi\) | |||||||
\(710\) | −35.9670 | − | 40.0544i | −1.34982 | − | 1.50322i | ||||
\(711\) | 10.5469 | + | 11.3668i | 0.395539 | + | 0.426290i | ||||
\(712\) | −39.5061 | + | 24.1918i | −1.48055 | + | 0.906626i | ||||
\(713\) | 12.8010 | − | 26.5815i | 0.479401 | − | 0.995486i | ||||
\(714\) | 4.83297 | − | 8.20499i | 0.180869 | − | 0.307064i | ||||
\(715\) | 1.41154 | + | 2.93109i | 0.0527886 | + | 0.109617i | ||||
\(716\) | −5.12551 | − | 3.18656i | −0.191549 | − | 0.119087i | ||||
\(717\) | 18.1053 | − | 10.4531i | 0.676154 | − | 0.390378i | ||||
\(718\) | 8.47070 | + | 5.97995i | 0.316124 | + | 0.223170i | ||||
\(719\) | −18.9528 | + | 2.85667i | −0.706820 | + | 0.106536i | −0.492608 | − | 0.870251i | \(-0.663956\pi\) |
−0.214212 | + | 0.976787i | \(0.568718\pi\) | |||||||
\(720\) | −11.4953 | + | 1.84500i | −0.428406 | + | 0.0687589i | ||||
\(721\) | −2.67949 | + | 12.1651i | −0.0997893 | + | 0.453051i | ||||
\(722\) | 25.9114 | + | 6.36056i | 0.964323 | + | 0.236716i | ||||
\(723\) | 22.4965 | + | 1.68588i | 0.836656 | + | 0.0626987i | ||||
\(724\) | 8.27246 | + | 30.2943i | 0.307444 | + | 1.12588i | ||||
\(725\) | 5.25781 | − | 13.3967i | 0.195270 | − | 0.497541i | ||||
\(726\) | −4.64074 | + | 14.2172i | −0.172234 | + | 0.527649i | ||||
\(727\) | −23.7248 | + | 29.7499i | −0.879903 | + | 1.10336i | 0.114041 | + | 0.993476i | \(0.463621\pi\) |
−0.993944 | + | 0.109888i | \(0.964951\pi\) | |||||||
\(728\) | −0.429227 | − | 12.8243i | −0.0159082 | − | 0.475301i | ||||
\(729\) | 0.623490 | + | 0.781831i | 0.0230922 | + | 0.0289567i | ||||
\(730\) | 36.6415 | − | 13.6952i | 1.35616 | − | 0.506882i | ||||
\(731\) | −0.905749 | − | 12.0864i | −0.0335003 | − | 0.447031i | ||||
\(732\) | −1.16391 | + | 6.31627i | −0.0430195 | + | 0.233456i | ||||
\(733\) | −15.9983 | + | 17.2421i | −0.590912 | + | 0.636852i | −0.955736 | − | 0.294225i | \(-0.904939\pi\) |
0.364824 | + | 0.931076i | \(0.381129\pi\) | |||||||
\(734\) | 0.00256320 | − | 0.157100i | 9.46095e−5 | − | 0.00579866i | ||||
\(735\) | −11.7318 | − | 16.6576i | −0.432734 | − | 0.614426i | ||||
\(736\) | −25.2205 | − | 2.06185i | −0.929640 | − | 0.0760008i | ||||
\(737\) | −4.97165 | − | 4.61302i | −0.183133 | − | 0.169923i | ||||
\(738\) | −10.5434 | − | 1.76552i | −0.388107 | − | 0.0649898i | ||||
\(739\) | 11.1961 | − | 0.839028i | 0.411854 | − | 0.0308642i | 0.132807 | − | 0.991142i | \(-0.457601\pi\) |
0.279046 | + | 0.960278i | \(0.409982\pi\) | |||||||
\(740\) | 7.25392 | − | 2.57717i | 0.266660 | − | 0.0947387i | ||||
\(741\) | 0.490580 | − | 0.391225i | 0.0180219 | − | 0.0143720i | ||||
\(742\) | −3.02497 | − | 10.1189i | −0.111050 | − | 0.371478i | ||||
\(743\) | −8.94699 | − | 7.13498i | −0.328233 | − | 0.261757i | 0.445482 | − | 0.895291i | \(-0.353032\pi\) |
−0.773715 | + | 0.633534i | \(0.781604\pi\) | |||||||
\(744\) | 6.36412 | − | 17.5356i | 0.233320 | − | 0.642888i | ||||
\(745\) | −28.9130 | − | 11.3475i | −1.05929 | − | 0.415741i | ||||
\(746\) | −0.632029 | − | 2.17431i | −0.0231402 | − | 0.0796071i | ||||
\(747\) | 0.449056 | − | 5.99223i | 0.0164301 | − | 0.219244i | ||||
\(748\) | −0.843452 | + | 3.20897i | −0.0308396 | + | 0.117332i | ||||
\(749\) | 37.9185 | − | 30.7133i | 1.38551 | − | 1.12224i | ||||
\(750\) | −1.29962 | − | 6.15523i | −0.0474556 | − | 0.224757i | ||||
\(751\) | 5.62391 | + | 37.3122i | 0.205219 | + | 1.36154i | 0.819783 | + | 0.572674i | \(0.194094\pi\) |
−0.614564 | + | 0.788867i | \(0.710668\pi\) | |||||||
\(752\) | −8.35821 | − | 6.53595i | −0.304793 | − | 0.238342i | ||||
\(753\) | 7.63249 | + | 13.2199i | 0.278143 | + | 0.481758i | ||||
\(754\) | −5.16751 | + | 8.62240i | −0.188189 | + | 0.314009i | ||||
\(755\) | 47.6201 | − | 22.9326i | 1.73307 | − | 0.834604i | ||||
\(756\) | 4.44527 | − | 2.87046i | 0.161673 | − | 0.104398i | ||||
\(757\) | 42.0619 | + | 20.2559i | 1.52877 | + | 0.736215i | 0.994061 | − | 0.108824i | \(-0.0347086\pi\) |
0.534705 | + | 0.845039i | \(0.320423\pi\) | |||||||
\(758\) | −25.1021 | + | 16.5210i | −0.911749 | + | 0.600069i | ||||
\(759\) | −2.13753 | + | 1.98333i | −0.0775873 | + | 0.0719905i | ||||
\(760\) | −2.30600 | + | 1.93860i | −0.0836476 | + | 0.0703204i | ||||
\(761\) | −10.8938 | − | 15.9782i | −0.394899 | − | 0.579210i | 0.576372 | − | 0.817187i | \(-0.304468\pi\) |
−0.971271 | + | 0.237978i | \(0.923516\pi\) | |||||||
\(762\) | −15.7304 | − | 7.89404i | −0.569852 | − | 0.285971i | ||||
\(763\) | −48.2025 | − | 14.4682i | −1.74505 | − | 0.523785i | ||||
\(764\) | 5.78938 | + | 13.0985i | 0.209453 | + | 0.473888i | ||||
\(765\) | 3.70378 | − | 6.41513i | 0.133910 | − | 0.231940i | ||||
\(766\) | 26.2530 | − | 14.5914i | 0.948560 | − | 0.527209i | ||||
\(767\) | 8.40002 | − | 12.3206i | 0.303307 | − | 0.444870i | ||||
\(768\) | −15.9971 | + | 0.305345i | −0.577245 | + | 0.0110182i | ||||
\(769\) | 28.9993 | − | 6.61891i | 1.04574 | − | 0.238684i | 0.335060 | − | 0.942197i | \(-0.391243\pi\) |
0.710683 | + | 0.703513i | \(0.248386\pi\) | |||||||
\(770\) | 5.51148 | + | 4.47438i | 0.198620 | + | 0.161245i | ||||
\(771\) | 22.3405 | + | 5.09908i | 0.804575 | + | 0.183639i | ||||
\(772\) | 0.713118 | − | 6.61252i | 0.0256657 | − | 0.237990i | ||||
\(773\) | −2.40381 | − | 7.79297i | −0.0864591 | − | 0.280294i | 0.902010 | − | 0.431715i | \(-0.142091\pi\) |
−0.988469 | + | 0.151421i | \(0.951615\pi\) | |||||||
\(774\) | 2.56252 | − | 6.22845i | 0.0921078 | − | 0.223877i | ||||
\(775\) | −21.8800 | − | 6.74910i | −0.785954 | − | 0.242435i | ||||
\(776\) | 20.7577 | − | 23.5652i | 0.745159 | − | 0.845941i | ||||
\(777\) | −2.54664 | + | 2.39922i | −0.0913603 | + | 0.0860714i | ||||
\(778\) | −7.45734 | + | 5.75053i | −0.267358 | + | 0.206167i | ||||
\(779\) | −2.57498 | + | 1.01060i | −0.0922582 | + | 0.0362087i | ||||
\(780\) | −0.420809 | − | 9.97268i | −0.0150674 | − | 0.357079i | ||||
\(781\) | −8.42989 | − | 1.27060i | −0.301645 | − | 0.0454657i | ||||
\(782\) | 11.1420 | − | 11.6220i | 0.398436 | − | 0.415603i | ||||
\(783\) | −4.14541 | −0.148145 | ||||||||
\(784\) | −12.7692 | − | 24.9188i | −0.456042 | − | 0.889958i | ||||
\(785\) | −68.7360 | −2.45329 | ||||||||
\(786\) | −10.6044 | + | 11.0613i | −0.378245 | + | 0.394542i | ||||
\(787\) | −36.9752 | − | 5.57312i | −1.31802 | − | 0.198660i | −0.547894 | − | 0.836548i | \(-0.684570\pi\) |
−0.770130 | + | 0.637888i | \(0.779808\pi\) | |||||||
\(788\) | −0.764609 | − | 18.1203i | −0.0272381 | − | 0.645509i | ||||
\(789\) | −0.372745 | + | 0.146291i | −0.0132701 | + | 0.00520811i | ||||
\(790\) | 50.5445 | − | 38.9761i | 1.79829 | − | 1.38671i | ||||
\(791\) | 1.93906 | − | 5.05323i | 0.0689449 | − | 0.179672i | ||||
\(792\) | −1.21869 | + | 1.38352i | −0.0433043 | + | 0.0491612i | ||||
\(793\) | −5.26173 | − | 1.62303i | −0.186850 | − | 0.0576355i | ||||
\(794\) | 8.66976 | − | 21.0727i | 0.307678 | − | 0.747843i | ||||
\(795\) | −2.42161 | − | 7.85066i | −0.0858856 | − | 0.278434i | ||||
\(796\) | 4.32563 | − | 40.1102i | 0.153318 | − | 1.42167i | ||||
\(797\) | −1.42324 | − | 0.324844i | −0.0504136 | − | 0.0115066i | 0.197240 | − | 0.980355i | \(-0.436802\pi\) |
−0.247653 | + | 0.968849i | \(0.579659\pi\) | |||||||
\(798\) | 0.604815 | − | 1.22841i | 0.0214102 | − | 0.0434853i | ||||
\(799\) | 6.58159 | − | 1.50220i | 0.232840 | − | 0.0531442i | ||||
\(800\) | 1.33496 | + | 19.5933i | 0.0471979 | + | 0.692729i | ||||
\(801\) | 9.22618 | − | 13.5323i | 0.325991 | − | 0.478141i | ||||
\(802\) | −27.8846 | + | 15.4982i | −0.984640 | + | 0.547262i | ||||
\(803\) | 3.09735 | − | 5.36477i | 0.109303 | − | 0.189319i | ||||
\(804\) | 8.41213 | + | 19.0325i | 0.296673 | + | 0.671225i | ||||
\(805\) | −12.8285 | − | 31.9698i | −0.452144 | − | 1.12679i | ||||
\(806\) | 14.2945 | + | 7.17347i | 0.503503 | + | 0.252675i | ||||
\(807\) | 0.506346 | + | 0.742673i | 0.0178242 | + | 0.0261433i | ||||
\(808\) | 2.00512 | − | 1.68565i | 0.0705398 | − | 0.0593010i | ||||
\(809\) | −1.29390 | + | 1.20056i | −0.0454910 | + | 0.0422095i | −0.702591 | − | 0.711594i | \(-0.747974\pi\) |
0.657100 | + | 0.753804i | \(0.271783\pi\) | |||||||
\(810\) | 3.43836 | − | 2.26296i | 0.120812 | − | 0.0795125i | ||||
\(811\) | 12.0504 | + | 5.80318i | 0.423148 | + | 0.203777i | 0.633325 | − | 0.773886i | \(-0.281690\pi\) |
−0.210177 | + | 0.977663i | \(0.567404\pi\) | |||||||
\(812\) | −2.18614 | + | 21.8262i | −0.0767184 | + | 0.765951i | ||||
\(813\) | −5.79142 | + | 2.78900i | −0.203114 | + | 0.0978145i | ||||
\(814\) | 0.626689 | − | 1.04568i | 0.0219654 | − | 0.0366511i | ||||
\(815\) | 8.19414 | + | 14.1927i | 0.287028 | + | 0.497147i | ||||
\(816\) | 6.27093 | − | 8.01930i | 0.219526 | − | 0.280732i | ||||
\(817\) | −0.259744 | − | 1.72329i | −0.00908728 | − | 0.0602901i | ||||
\(818\) | −6.67063 | − | 31.5932i | −0.233233 | − | 1.10463i | ||||
\(819\) | 1.99937 | + | 4.07228i | 0.0698638 | + | 0.142297i | ||||
\(820\) | −11.1859 | + | 42.5577i | −0.390630 | + | 1.48618i | ||||
\(821\) | 3.37039 | − | 44.9748i | 0.117628 | − | 1.56963i | −0.556393 | − | 0.830919i | \(-0.687815\pi\) |
0.674021 | − | 0.738712i | \(-0.264566\pi\) | |||||||
\(822\) | −8.76862 | − | 30.1658i | −0.305841 | − | 1.05215i | ||||
\(823\) | −38.7342 | − | 15.2020i | −1.35019 | − | 0.529910i | −0.423553 | − | 0.905872i | \(-0.639217\pi\) |
−0.926635 | + | 0.375962i | \(0.877312\pi\) | |||||||
\(824\) | −4.54303 | + | 12.5178i | −0.158264 | + | 0.436079i | ||||
\(825\) | 1.76931 | + | 1.41098i | 0.0615994 | + | 0.0491239i | ||||
\(826\) | 5.12989 | − | 32.1322i | 0.178492 | − | 1.11802i | ||||
\(827\) | −4.07421 | + | 3.24908i | −0.141674 | + | 0.112981i | −0.691763 | − | 0.722125i | \(-0.743165\pi\) |
0.550088 | + | 0.835107i | \(0.314594\pi\) | |||||||
\(828\) | 8.43029 | − | 2.99511i | 0.292973 | − | 0.104087i | ||||
\(829\) | −40.1154 | + | 3.00623i | −1.39326 | + | 0.104411i | −0.750104 | − | 0.661320i | \(-0.769996\pi\) |
−0.643161 | + | 0.765731i | \(0.722377\pi\) | |||||||
\(830\) | −24.3949 | − | 4.08501i | −0.846760 | − | 0.141793i | ||||
\(831\) | 13.1496 | + | 12.2011i | 0.456156 | + | 0.423251i | ||||
\(832\) | 1.34060 | − | 13.6518i | 0.0464770 | − | 0.473290i | ||||
\(833\) | 17.4267 | + | 3.69977i | 0.603799 | + | 0.128190i | ||||
\(834\) | −0.0257464 | + | 1.57801i | −0.000891526 | + | 0.0546420i | ||||
\(835\) | −7.18874 | + | 7.74762i | −0.248777 | + | 0.268117i | ||||
\(836\) | −0.0864578 | + | 0.469185i | −0.00299021 | + | 0.0162271i | ||||
\(837\) | 0.492879 | + | 6.57702i | 0.0170364 | + | 0.227335i | ||||
\(838\) | −50.1078 | + | 18.7284i | −1.73095 | + | 0.646962i | ||||
\(839\) | −19.7459 | − | 24.7605i | −0.681702 | − | 0.854828i | 0.313807 | − | 0.949487i | \(-0.398395\pi\) |
−0.995510 | + | 0.0946588i | \(0.969824\pi\) | |||||||
\(840\) | −10.1016 | − | 19.2969i | −0.348538 | − | 0.665807i | ||||
\(841\) | −7.36689 | + | 9.23778i | −0.254031 | + | 0.318544i | ||||
\(842\) | 9.28400 | − | 28.4421i | 0.319948 | − | 0.980180i | ||||
\(843\) | −2.39467 | + | 6.10152i | −0.0824769 | + | 0.210148i | ||||
\(844\) | 7.78210 | + | 28.4986i | 0.267871 | + | 0.980962i | ||||
\(845\) | −29.1985 | − | 2.18813i | −1.00446 | − | 0.0752739i | ||||
\(846\) | 3.64315 | + | 0.894296i | 0.125254 | + | 0.0307465i | ||||
\(847\) | −27.9782 | + | 0.212650i | −0.961344 | + | 0.00730675i | ||||
\(848\) | −1.78924 | − | 11.1479i | −0.0614427 | − | 0.382822i | ||||
\(849\) | 17.0711 | − | 2.57305i | 0.585878 | − | 0.0883069i | ||||
\(850\) | −10.2079 | − | 7.20631i | −0.350126 | − | 0.247174i | ||||
\(851\) | −5.12302 | + | 2.95778i | −0.175615 | + | 0.101391i | ||||
\(852\) | 22.2134 | + | 13.8102i | 0.761019 | + | 0.473131i | ||||
\(853\) | 12.9335 | + | 26.8566i | 0.442834 | + | 0.919554i | 0.996240 | + | 0.0866419i | \(0.0276136\pi\) |
−0.553406 | + | 0.832912i | \(0.686672\pi\) | |||||||
\(854\) | −11.8966 | + | 1.68723i | −0.407092 | + | 0.0577359i | ||||
\(855\) | 0.462138 | − | 0.959639i | 0.0158048 | − | 0.0328190i | ||||
\(856\) | 44.4875 | − | 27.2422i | 1.52055 | − | 0.931120i | ||||
\(857\) | −2.06780 | − | 2.22855i | −0.0706346 | − | 0.0761259i | 0.696746 | − | 0.717318i | \(-0.254631\pi\) |
−0.767380 | + | 0.641192i | \(0.778440\pi\) | |||||||
\(858\) | −1.05610 | − | 1.17612i | −0.0360548 | − | 0.0401521i | ||||
\(859\) | −26.0827 | + | 17.7829i | −0.889931 | + | 0.606745i | −0.919618 | − | 0.392814i | \(-0.871502\pi\) |
0.0296864 | + | 0.999559i | \(0.490549\pi\) | |||||||
\(860\) | −24.5717 | − | 12.8369i | −0.837887 | − | 0.437734i | ||||
\(861\) | −3.13099 | − | 19.7529i | −0.106704 | − | 0.673176i | ||||
\(862\) | 42.4950 | − | 19.6170i | 1.44738 | − | 0.668159i | ||||
\(863\) | 19.1188 | + | 11.0383i | 0.650812 | + | 0.375747i | 0.788767 | − | 0.614692i | \(-0.210720\pi\) |
−0.137955 | + | 0.990438i | \(0.544053\pi\) | |||||||
\(864\) | 5.11315 | − | 2.41985i | 0.173953 | − | 0.0823249i | ||||
\(865\) | −29.3035 | − | 19.9788i | −0.996350 | − | 0.679300i | ||||
\(866\) | −26.3144 | + | 3.52824i | −0.894199 | + | 0.119894i | ||||
\(867\) | −2.34156 | − | 10.2591i | −0.0795237 | − | 0.348416i | ||||
\(868\) | 34.8890 | + | 0.873390i | 1.18421 | + | 0.0296448i | ||||
\(869\) | 2.24920 | − | 9.85437i | 0.0762987 | − | 0.334287i | ||||
\(870\) | −1.55257 | + | 16.9927i | −0.0526371 | + | 0.576106i | ||||
\(871\) | −17.0475 | + | 5.25847i | −0.577634 | + | 0.178176i | ||||
\(872\) | −49.0612 | − | 22.0827i | −1.66142 | − | 0.747815i | ||||
\(873\) | −3.27265 | + | 10.6097i | −0.110762 | + | 0.359083i | ||||
\(874\) | 1.47272 | − | 1.78616i | 0.0498156 | − | 0.0604178i | ||||
\(875\) | 10.1475 | − | 5.96193i | 0.343047 | − | 0.201550i | ||||
\(876\) | −15.2384 | + | 11.3592i | −0.514859 | + | 0.383791i | ||||
\(877\) | 17.3646 | + | 44.2442i | 0.586359 | + | 1.49402i | 0.848610 | + | 0.529019i | \(0.177440\pi\) |
−0.262250 | + | 0.965000i | \(0.584465\pi\) | |||||||
\(878\) | 24.6872 | − | 1.44549i | 0.833151 | − | 0.0487829i | ||||
\(879\) | 4.08833 | − | 27.1243i | 0.137896 | − | 0.914879i | ||||
\(880\) | 5.21482 | + | 5.51377i | 0.175792 | + | 0.185869i | ||||
\(881\) | 6.85715i | 0.231023i | 0.993306 | + | 0.115512i | \(0.0368508\pi\) | ||||
−0.993306 | + | 0.115512i | \(0.963149\pi\) | |||||||
\(882\) | 7.73286 | + | 6.18085i | 0.260379 | + | 0.208120i | ||||
\(883\) | − | 7.66016i | − | 0.257785i | −0.991659 | − | 0.128892i | \(-0.958858\pi\) | ||
0.991659 | − | 0.128892i | \(-0.0411422\pi\) | |||||||
\(884\) | 6.20085 | + | 6.14196i | 0.208557 | + | 0.206576i | ||||
\(885\) | 3.77256 | − | 25.0293i | 0.126813 | − | 0.841351i | ||||
\(886\) | 2.01461 | + | 34.4070i | 0.0676820 | + | 1.15592i | ||||
\(887\) | −2.88514 | − | 7.35123i | −0.0968736 | − | 0.246830i | 0.874219 | − | 0.485531i | \(-0.161374\pi\) |
−0.971093 | + | 0.238701i | \(0.923278\pi\) | |||||||
\(888\) | −3.03494 | + | 2.18623i | −0.101846 | + | 0.0733650i | ||||
\(889\) | 4.65986 | − | 32.5952i | 0.156287 | − | 1.09321i | ||||
\(890\) | −52.0157 | − | 42.8878i | −1.74357 | − | 1.43760i | ||||
\(891\) | 0.192138 | − | 0.622896i | 0.00643686 | − | 0.0208678i | ||||
\(892\) | 3.03959 | − | 7.05850i | 0.101773 | − | 0.236336i | ||||
\(893\) | 0.927566 | − | 0.286116i | 0.0310398 | − | 0.00957451i | ||||
\(894\) | 15.0289 | + | 1.37315i | 0.502642 | + | 0.0459250i | ||||
\(895\) | 1.95445 | − | 8.56302i | 0.0653302 | − | 0.286230i | ||||
\(896\) | −10.0444 | − | 28.1977i | −0.335560 | − | 0.942019i | ||||
\(897\) | 1.70679 | + | 7.47792i | 0.0569880 | + | 0.249681i | ||||
\(898\) | 3.50858 | + | 26.1678i | 0.117083 | + | 0.873230i | ||||
\(899\) | −22.5901 | − | 15.4017i | −0.753422 | − | 0.513675i | ||||
\(900\) | −3.27366 | − | 6.12317i | −0.109122 | − | 0.204106i | ||||
\(901\) | 6.22127 | + | 3.59185i | 0.207260 | + | 0.119662i | ||||
\(902\) | 2.92067 | + | 6.32684i | 0.0972477 | + | 0.210661i | ||||
\(903\) | 12.5716 | + | 0.846076i | 0.418356 | + | 0.0281557i | ||||
\(904\) | 2.76258 | − | 5.08412i | 0.0918820 | − | 0.169095i | ||||
\(905\) | −37.7606 | + | 25.7447i | −1.25520 | + | 0.855783i | ||||
\(906\) | −19.1079 | + | 17.1580i | −0.634818 | + | 0.570038i | ||||
\(907\) | −3.99744 | − | 4.30822i | −0.132733 | − | 0.143052i | 0.663188 | − | 0.748453i | \(-0.269203\pi\) |
−0.795920 | + | 0.605401i | \(0.793013\pi\) | |||||||
\(908\) | −22.7169 | + | 14.4256i | −0.753886 | + | 0.478730i | ||||
\(909\) | −0.401838 | + | 0.834425i | −0.0133281 | + | 0.0276761i | ||||
\(910\) | 17.4417 | − | 6.67056i | 0.578187 | − | 0.221127i | ||||
\(911\) | −20.7480 | − | 43.0837i | −0.687412 | − | 1.42743i | −0.893577 | − | 0.448909i | \(-0.851813\pi\) |
0.206165 | − | 0.978517i | \(-0.433902\pi\) | |||||||
\(912\) | 0.812993 | − | 1.21724i | 0.0269209 | − | 0.0403068i | ||||
\(913\) | −3.39224 | + | 1.95851i | −0.112267 | + | 0.0648173i | ||||
\(914\) | 5.90000 | − | 8.35745i | 0.195155 | − | 0.276440i | ||||
\(915\) | −9.24248 | + | 1.39308i | −0.305547 | + | 0.0460538i | ||||
\(916\) | 17.9732 | − | 3.48962i | 0.593851 | − | 0.115300i | ||||
\(917\) | −25.9221 | − | 12.2416i | −0.856025 | − | 0.404254i | ||||
\(918\) | −0.858034 | + | 3.49542i | −0.0283193 | + | 0.115366i | ||||
\(919\) | −27.2514 | − | 2.04221i | −0.898940 | − | 0.0673662i | −0.382761 | − | 0.923847i | \(-0.625027\pi\) |
−0.516179 | + | 0.856481i | \(0.672646\pi\) | |||||||
\(920\) | −9.12005 | − | 35.6788i | −0.300679 | − | 1.17630i | ||||
\(921\) | −8.64427 | + | 22.0252i | −0.284838 | + | 0.725757i | ||||
\(922\) | −30.5934 | − | 9.98622i | −1.00754 | − | 0.328878i | ||||
\(923\) | −13.9817 | + | 17.5325i | −0.460214 | + | 0.577091i | ||||
\(924\) | −3.17832 | − | 1.34013i | −0.104559 | − | 0.0440870i | ||||
\(925\) | 2.86246 | + | 3.58941i | 0.0941171 | + | 0.118019i | ||||
\(926\) | 4.56868 | + | 12.2235i | 0.150136 | + | 0.401689i | ||||
\(927\) | −0.351842 | − | 4.69501i | −0.0115560 | − | 0.154204i | ||||
\(928\) | −5.37281 | + | 22.8262i | −0.176371 | + | 0.749306i | ||||
\(929\) | −30.0821 | + | 32.4208i | −0.986960 | + | 1.06369i | 0.0110054 | + | 0.999939i | \(0.496497\pi\) |
−0.997966 | + | 0.0637510i | \(0.979694\pi\) | |||||||
\(930\) | 27.1448 | + | 0.442888i | 0.890114 | + | 0.0145229i | ||||
\(931\) | 2.53850 | + | 0.343241i | 0.0831960 | + | 0.0112493i | ||||
\(932\) | −11.4711 | − | 0.374420i | −0.375749 | − | 0.0122645i | ||||
\(933\) | −23.7034 | − | 21.9936i | −0.776015 | − | 0.720037i | ||||
\(934\) | 1.22385 | − | 7.30860i | 0.0400456 | − | 0.239145i | ||||
\(935\) | −4.81516 | + | 0.360846i | −0.157473 | + | 0.0118009i | ||||
\(936\) | 1.54886 | + | 4.59588i | 0.0506260 | + | 0.150221i | ||||
\(937\) | −3.02159 | + | 2.40964i | −0.0987110 | + | 0.0787194i | −0.671602 | − | 0.740912i | \(-0.734393\pi\) |
0.572891 | + | 0.819632i | \(0.305822\pi\) | |||||||
\(938\) | −28.7670 | + | 26.2291i | −0.939275 | + | 0.856410i | ||||
\(939\) | −21.5953 | − | 17.2217i | −0.704735 | − | 0.562008i | ||||
\(940\) | 5.03032 | − | 14.5989i | 0.164071 | − | 0.476164i | ||||
\(941\) | −9.23269 | − | 3.62357i | −0.300977 | − | 0.118125i | 0.210047 | − | 0.977691i | \(-0.432638\pi\) |
−0.511024 | + | 0.859566i | \(0.670734\pi\) | |||||||
\(942\) | 32.0701 | − | 9.32216i | 1.04490 | − | 0.303732i | ||||
\(943\) | 2.52691 | − | 33.7193i | 0.0822876 | − | 1.09805i | ||||
\(944\) | 9.93563 | − | 33.3367i | 0.323377 | − | 1.08502i | ||||
\(945\) | 6.05702 | + | 4.75545i | 0.197035 | + | 0.154695i | ||||
\(946\) | −4.29554 | + | 0.906966i | −0.139660 | + | 0.0294880i | ||||
\(947\) | 6.21655 | + | 41.2441i | 0.202011 | + | 1.34025i | 0.828135 | + | 0.560529i | \(0.189402\pi\) |
−0.626124 | + | 0.779724i | \(0.715360\pi\) | |||||||
\(948\) | −18.2965 | + | 25.0401i | −0.594243 | + | 0.813263i | ||||
\(949\) | −8.14746 | − | 14.1118i | −0.264478 | − | 0.458089i | ||||
\(950\) | −1.54110 | − | 0.923597i | −0.0499998 | − | 0.0299654i | ||||
\(951\) | 12.5844 | − | 6.06033i | 0.408077 | − | 0.196520i | ||||
\(952\) | 17.9515 | + | 6.36104i | 0.581810 | + | 0.206163i | ||||
\(953\) | −52.1642 | − | 25.1210i | −1.68977 | − | 0.813748i | −0.995576 | − | 0.0939557i | \(-0.970049\pi\) |
−0.694189 | − | 0.719793i | \(-0.744237\pi\) | |||||||
\(954\) | 2.19458 | + | 3.33446i | 0.0710520 | + | 0.107957i | ||||
\(955\) | −15.2778 | + | 14.1757i | −0.494377 | + | 0.458715i | ||||
\(956\) | 27.4246 | + | 31.5621i | 0.886975 | + | 1.02079i | ||||
\(957\) | 1.52221 | + | 2.23267i | 0.0492060 | + | 0.0721720i | ||||
\(958\) | 5.29384 | − | 10.5490i | 0.171036 | − | 0.340823i | ||||
\(959\) | 48.3059 | − | 33.4750i | 1.55988 | − | 1.08096i | ||||
\(960\) | −8.00432 | − | 21.8659i | −0.258338 | − | 0.705719i | ||||
\(961\) | −6.25005 | + | 10.8254i | −0.201615 | + | 0.349207i | ||||
\(962\) | −1.55787 | − | 2.80294i | −0.0502278 | − | 0.0903704i | ||||
\(963\) | −10.3895 | + | 15.2387i | −0.334798 | + | 0.491059i | ||||
\(964\) | 5.26562 | + | 44.8109i | 0.169594 | + | 1.44326i | ||||
\(965\) | 9.43637 | − | 2.15379i | 0.303768 | − | 0.0693330i | ||||
\(966\) | 10.3212 | + | 13.1763i | 0.332079 | + | 0.423940i | ||||
\(967\) | 53.5577 | + | 12.2242i | 1.72230 | + | 0.393104i | 0.965472 | − | 0.260508i | \(-0.0838902\pi\) |
0.756829 | + | 0.653612i | \(0.226747\pi\) | |||||||
\(968\) | −29.6821 | − | 3.69181i | −0.954020 | − | 0.118659i | ||||
\(969\) | 0.274514 | + | 0.889954i | 0.00881868 | + | 0.0285894i | ||||
\(970\) | 42.2650 | + | 17.3887i | 1.35705 | + | 0.558318i | ||||
\(971\) | 45.3594 | + | 13.9915i | 1.45565 | + | 0.449010i | 0.918819 | − | 0.394678i | \(-0.129144\pi\) |
0.536834 | + | 0.843688i | \(0.319620\pi\) | |||||||
\(972\) | −1.29733 | + | 1.52215i | −0.0416118 | + | 0.0488230i | ||||
\(973\) | −2.81471 | + | 0.891707i | −0.0902354 | + | 0.0285868i | ||||
\(974\) | 9.80023 | + | 12.7090i | 0.314020 | + | 0.407223i | ||||
\(975\) | 5.54132 | − | 2.17481i | 0.177464 | − | 0.0696496i | ||||
\(976\) | −12.8446 | + | 0.122575i | −0.411147 | + | 0.00392353i | ||||
\(977\) | −34.2862 | − | 5.16782i | −1.09691 | − | 0.165333i | −0.424442 | − | 0.905455i | \(-0.639530\pi\) |
−0.672473 | + | 0.740122i | \(0.734768\pi\) | |||||||
\(978\) | −5.74798 | − | 5.51056i | −0.183800 | − | 0.176208i | ||||
\(979\) | −10.6762 | −0.341214 | ||||||||
\(980\) | 28.2324 | − | 29.3833i | 0.901852 | − | 0.938615i | ||||
\(981\) | 19.0218 | 0.607321 | ||||||||
\(982\) | 28.9054 | + | 27.7115i | 0.922409 | + | 0.884308i | ||||
\(983\) | −36.5268 | − | 5.50553i | −1.16503 | − | 0.175599i | −0.462077 | − | 0.886840i | \(-0.652895\pi\) |
−0.702948 | + | 0.711241i | \(0.748134\pi\) | |||||||
\(984\) | −0.552768 | − | 21.3732i | −0.0176216 | − | 0.681352i | ||||
\(985\) | 24.5696 | − | 9.64284i | 0.782851 | − | 0.307246i | ||||
\(986\) | −9.11102 | − | 11.8152i | −0.290154 | − | 0.376274i | ||||
\(987\) | 0.577635 | + | 6.99424i | 0.0183863 | + | 0.222629i | ||||
\(988\) | 0.955112 | + | 0.814041i | 0.0303862 | + | 0.0258981i | ||||
\(989\) | 20.3569 | + | 6.27926i | 0.647311 | + | 0.199669i | ||||
\(990\) | −2.48139 | − | 1.02089i | −0.0788636 | − | 0.0324462i | ||||
\(991\) | 4.11778 | + | 13.3495i | 0.130806 | + | 0.424061i | 0.997155 | − | 0.0753768i | \(-0.0240160\pi\) |
−0.866349 | + | 0.499438i | \(0.833540\pi\) | |||||||
\(992\) | 36.8543 | + | 5.81040i | 1.17013 | + | 0.184480i | ||||
\(993\) | 17.1986 | + | 3.92546i | 0.545780 | + | 0.124571i | ||||
\(994\) | −11.3042 | + | 47.6106i | −0.358547 | + | 1.51012i | ||||
\(995\) | 57.2391 | − | 13.0645i | 1.81460 | − | 0.414171i | ||||
\(996\) | 11.9359 | − | 1.40256i | 0.378205 | − | 0.0444419i | ||||
\(997\) | 6.32297 | − | 9.27409i | 0.200250 | − | 0.293713i | −0.712958 | − | 0.701207i | \(-0.752645\pi\) |
0.913208 | + | 0.407494i | \(0.133597\pi\) | |||||||
\(998\) | −5.25988 | − | 9.46364i | −0.166499 | − | 0.299566i | ||||
\(999\) | 0.661212 | − | 1.14525i | 0.0209198 | − | 0.0362342i |
(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 | 588.2.ba.b.187.21 | yes | 336 | |
4.3 | odd | 2 | 588.2.ba.a.187.7 | ✓ | 336 | ||
49.38 | odd | 42 | 588.2.ba.a.283.7 | yes | 336 | ||
196.87 | even | 42 | inner | 588.2.ba.b.283.21 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.ba.a.187.7 | ✓ | 336 | 4.3 | odd | 2 | ||
588.2.ba.a.283.7 | yes | 336 | 49.38 | odd | 42 | ||
588.2.ba.b.187.21 | yes | 336 | 1.1 | even | 1 | trivial | |
588.2.ba.b.283.21 | yes | 336 | 196.87 | even | 42 | inner |