Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(25,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.y (of order \(33\), degree \(20\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 25.3 | ||
Character | \(\chi\) | \(=\) | 966.25 |
Dual form | 966.2.y.a.541.3 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0475819 | + | 0.998867i | −0.0336455 | + | 0.706306i | ||||
\(3\) | −0.928368 | − | 0.371662i | −0.535993 | − | 0.214579i | ||||
\(4\) | −0.995472 | − | 0.0950560i | −0.497736 | − | 0.0475280i | ||||
\(5\) | −0.582238 | − | 2.40002i | −0.260385 | − | 1.07332i | −0.940386 | − | 0.340110i | \(-0.889536\pi\) |
0.680001 | − | 0.733211i | \(-0.261979\pi\) | |||||||
\(6\) | 0.415415 | − | 0.909632i | 0.169592 | − | 0.371356i | ||||
\(7\) | −0.0849128 | + | 2.64439i | −0.0320940 | + | 0.999485i | ||||
\(8\) | 0.142315 | − | 0.989821i | 0.0503159 | − | 0.349955i | ||||
\(9\) | 0.723734 | + | 0.690079i | 0.241245 | + | 0.230026i | ||||
\(10\) | 2.42500 | − | 0.467381i | 0.766854 | − | 0.147799i | ||||
\(11\) | 0.130882 | + | 2.74755i | 0.0394623 | + | 0.828416i | 0.928669 | + | 0.370910i | \(0.120954\pi\) |
−0.889206 | + | 0.457506i | \(0.848743\pi\) | |||||||
\(12\) | 0.888835 | + | 0.458227i | 0.256585 | + | 0.132279i | ||||
\(13\) | −3.43427 | − | 3.96336i | −0.952496 | − | 1.09924i | −0.994973 | − | 0.100142i | \(-0.968070\pi\) |
0.0424767 | − | 0.999097i | \(-0.486475\pi\) | |||||||
\(14\) | −2.63735 | − | 0.210642i | −0.704862 | − | 0.0562964i | ||||
\(15\) | −0.351465 | + | 2.44450i | −0.0907480 | + | 0.631166i | ||||
\(16\) | 0.981929 | + | 0.189251i | 0.245482 | + | 0.0473128i | ||||
\(17\) | 1.43568 | + | 2.01613i | 0.348203 | + | 0.488982i | 0.951120 | − | 0.308821i | \(-0.0999345\pi\) |
−0.602917 | + | 0.797804i | \(0.705995\pi\) | |||||||
\(18\) | −0.723734 | + | 0.690079i | −0.170586 | + | 0.162653i | ||||
\(19\) | 2.12227 | − | 2.98031i | 0.486881 | − | 0.683729i | −0.495926 | − | 0.868365i | \(-0.665171\pi\) |
0.982807 | + | 0.184636i | \(0.0591106\pi\) | |||||||
\(20\) | 0.351465 | + | 2.44450i | 0.0785901 | + | 0.546606i | ||||
\(21\) | 1.06165 | − | 2.42341i | 0.231671 | − | 0.528831i | ||||
\(22\) | −2.75066 | −0.586443 | ||||||||
\(23\) | 0.503418 | + | 4.76934i | 0.104970 | + | 0.994475i | ||||
\(24\) | −0.500000 | + | 0.866025i | −0.102062 | + | 0.176777i | ||||
\(25\) | −0.976909 | + | 0.503632i | −0.195382 | + | 0.100726i | ||||
\(26\) | 4.12228 | − | 3.24180i | 0.808447 | − | 0.635769i | ||||
\(27\) | −0.415415 | − | 0.909632i | −0.0799467 | − | 0.175059i | ||||
\(28\) | 0.335893 | − | 2.62434i | 0.0634779 | − | 0.495954i | ||||
\(29\) | 0.749375 | − | 1.64090i | 0.139155 | − | 0.304708i | −0.827205 | − | 0.561901i | \(-0.810070\pi\) |
0.966360 | + | 0.257193i | \(0.0827975\pi\) | |||||||
\(30\) | −2.42500 | − | 0.467381i | −0.442743 | − | 0.0853317i | ||||
\(31\) | 4.80987 | + | 3.78252i | 0.863878 | + | 0.679361i | 0.948405 | − | 0.317060i | \(-0.102696\pi\) |
−0.0845276 | + | 0.996421i | \(0.526938\pi\) | |||||||
\(32\) | −0.235759 | + | 0.971812i | −0.0416767 | + | 0.171794i | ||||
\(33\) | 0.899653 | − | 2.59938i | 0.156610 | − | 0.452494i | ||||
\(34\) | −2.08215 | + | 1.33812i | −0.357086 | + | 0.229486i | ||||
\(35\) | 6.39602 | − | 1.33587i | 1.08112 | − | 0.225803i | ||||
\(36\) | −0.654861 | − | 0.755750i | −0.109143 | − | 0.125958i | ||||
\(37\) | 3.12256 | + | 2.97735i | 0.513345 | + | 0.489474i | 0.901896 | − | 0.431954i | \(-0.142176\pi\) |
−0.388551 | + | 0.921427i | \(0.627024\pi\) | |||||||
\(38\) | 2.87595 | + | 2.26167i | 0.466540 | + | 0.366891i | ||||
\(39\) | 1.71524 | + | 4.95585i | 0.274658 | + | 0.793571i | ||||
\(40\) | −2.45845 | + | 0.234754i | −0.388715 | + | 0.0371178i | ||||
\(41\) | 3.48402 | + | 1.02300i | 0.544112 | + | 0.159766i | 0.542226 | − | 0.840233i | \(-0.317582\pi\) |
0.00188562 | + | 0.999998i | \(0.499400\pi\) | |||||||
\(42\) | 2.37015 | + | 1.17576i | 0.365721 | + | 0.181423i | ||||
\(43\) | 0.851269 | + | 5.92070i | 0.129817 | + | 0.902899i | 0.945783 | + | 0.324799i | \(0.105297\pi\) |
−0.815966 | + | 0.578100i | \(0.803794\pi\) | |||||||
\(44\) | 0.130882 | − | 2.74755i | 0.0197312 | − | 0.414208i | ||||
\(45\) | 1.23482 | − | 2.13877i | 0.184076 | − | 0.318828i | ||||
\(46\) | −4.78789 | + | 0.275914i | −0.705936 | + | 0.0406813i | ||||
\(47\) | 3.94132 | + | 6.82657i | 0.574901 | + | 0.995757i | 0.996052 | + | 0.0887669i | \(0.0282926\pi\) |
−0.421152 | + | 0.906990i | \(0.638374\pi\) | |||||||
\(48\) | −0.841254 | − | 0.540641i | −0.121424 | − | 0.0780348i | ||||
\(49\) | −6.98558 | − | 0.449085i | −0.997940 | − | 0.0641550i | ||||
\(50\) | −0.456578 | − | 0.999767i | −0.0645699 | − | 0.141388i | ||||
\(51\) | −0.583518 | − | 2.40529i | −0.0817088 | − | 0.336808i | ||||
\(52\) | 3.04198 | + | 4.27187i | 0.421847 | + | 0.592401i | ||||
\(53\) | 3.44843 | + | 9.96360i | 0.473679 | + | 1.36861i | 0.888573 | + | 0.458735i | \(0.151697\pi\) |
−0.414894 | + | 0.909870i | \(0.636181\pi\) | |||||||
\(54\) | 0.928368 | − | 0.371662i | 0.126335 | − | 0.0505769i | ||||
\(55\) | 6.51796 | − | 1.91385i | 0.878881 | − | 0.258063i | ||||
\(56\) | 2.60539 | + | 0.460384i | 0.348160 | + | 0.0615214i | ||||
\(57\) | −3.07791 | + | 1.97805i | −0.407679 | + | 0.262000i | ||||
\(58\) | 1.60339 | + | 0.826604i | 0.210535 | + | 0.108538i | ||||
\(59\) | −2.01471 | + | 0.388304i | −0.262293 | + | 0.0505529i | −0.318702 | − | 0.947855i | \(-0.603247\pi\) |
0.0564090 | + | 0.998408i | \(0.482035\pi\) | |||||||
\(60\) | 0.582238 | − | 2.40002i | 0.0751666 | − | 0.309841i | ||||
\(61\) | 6.57336 | − | 2.63158i | 0.841633 | − | 0.336939i | 0.0895295 | − | 0.995984i | \(-0.471464\pi\) |
0.752103 | + | 0.659045i | \(0.229039\pi\) | |||||||
\(62\) | −4.00710 | + | 4.62444i | −0.508902 | + | 0.587305i | ||||
\(63\) | −1.88629 | + | 1.85524i | −0.237650 | + | 0.233738i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | −7.51258 | + | 10.5499i | −0.931821 | + | 1.30856i | ||||
\(66\) | 2.55363 | + | 1.02232i | 0.314330 | + | 0.125839i | ||||
\(67\) | 9.28575 | − | 4.78714i | 1.13443 | − | 0.584842i | 0.214426 | − | 0.976740i | \(-0.431212\pi\) |
0.920008 | + | 0.391898i | \(0.128182\pi\) | |||||||
\(68\) | −1.23753 | − | 2.14347i | −0.150073 | − | 0.259933i | ||||
\(69\) | 1.30523 | − | 4.61480i | 0.157131 | − | 0.555557i | ||||
\(70\) | 1.03002 | + | 6.45234i | 0.123111 | + | 0.771202i | ||||
\(71\) | 4.14016 | + | 2.66072i | 0.491347 | + | 0.315769i | 0.762747 | − | 0.646697i | \(-0.223850\pi\) |
−0.271400 | + | 0.962467i | \(0.587487\pi\) | |||||||
\(72\) | 0.786053 | − | 0.618159i | 0.0926372 | − | 0.0728507i | ||||
\(73\) | 12.6396 | + | 1.20694i | 1.47936 | + | 0.141261i | 0.803294 | − | 0.595583i | \(-0.203079\pi\) |
0.676063 | + | 0.736844i | \(0.263685\pi\) | |||||||
\(74\) | −3.12256 | + | 2.97735i | −0.362990 | + | 0.346110i | ||||
\(75\) | 1.09411 | − | 0.104475i | 0.126337 | − | 0.0120637i | ||||
\(76\) | −2.39595 | + | 2.76508i | −0.274835 | + | 0.317176i | ||||
\(77\) | −7.27669 | + | 0.112800i | −0.829256 | + | 0.0128548i | ||||
\(78\) | −5.03185 | + | 1.47749i | −0.569745 | + | 0.167292i | ||||
\(79\) | −1.60212 | + | 4.62901i | −0.180252 | + | 0.520804i | −0.998541 | − | 0.0540031i | \(-0.982802\pi\) |
0.818289 | + | 0.574808i | \(0.194923\pi\) | |||||||
\(80\) | −0.117510 | − | 2.46684i | −0.0131380 | − | 0.275801i | ||||
\(81\) | 0.0475819 | + | 0.998867i | 0.00528688 | + | 0.110985i | ||||
\(82\) | −1.18762 | + | 3.43139i | −0.131150 | + | 0.378934i | ||||
\(83\) | −2.60645 | + | 0.765323i | −0.286095 | + | 0.0840051i | −0.421632 | − | 0.906767i | \(-0.638542\pi\) |
0.135536 | + | 0.990772i | \(0.456724\pi\) | |||||||
\(84\) | −1.28720 | + | 2.31152i | −0.140445 | + | 0.252207i | ||||
\(85\) | 4.00283 | − | 4.61951i | 0.434168 | − | 0.501057i | ||||
\(86\) | −5.95450 | + | 0.568586i | −0.642090 | + | 0.0613122i | ||||
\(87\) | −1.30556 | + | 1.24485i | −0.139970 | + | 0.133462i | ||||
\(88\) | 2.73821 | + | 0.261467i | 0.291894 | + | 0.0278725i | ||||
\(89\) | −9.41884 | + | 7.40706i | −0.998395 | + | 0.785146i | −0.976698 | − | 0.214618i | \(-0.931149\pi\) |
−0.0216967 | + | 0.999765i | \(0.506907\pi\) | |||||||
\(90\) | 2.07759 | + | 1.33518i | 0.218997 | + | 0.140741i | ||||
\(91\) | 10.7723 | − | 8.74502i | 1.12924 | − | 0.916727i | ||||
\(92\) | −0.0477845 | − | 4.79559i | −0.00498188 | − | 0.499975i | ||||
\(93\) | −3.05951 | − | 5.29922i | −0.317256 | − | 0.549503i | ||||
\(94\) | −7.00637 | + | 3.61203i | −0.722652 | + | 0.372553i | ||||
\(95\) | −8.38845 | − | 3.35823i | −0.860637 | − | 0.344547i | ||||
\(96\) | 0.580057 | − | 0.814576i | 0.0592018 | − | 0.0831373i | ||||
\(97\) | −7.42556 | − | 2.18034i | −0.753951 | − | 0.221380i | −0.117898 | − | 0.993026i | \(-0.537616\pi\) |
−0.636053 | + | 0.771646i | \(0.719434\pi\) | |||||||
\(98\) | 0.780963 | − | 6.95630i | 0.0788892 | − | 0.702692i | ||||
\(99\) | −1.80130 | + | 2.07881i | −0.181038 | + | 0.208928i | ||||
\(100\) | 1.02036 | − | 0.408490i | 0.102036 | − | 0.0408490i | ||||
\(101\) | 0.776290 | − | 3.19991i | 0.0772438 | − | 0.318403i | −0.920061 | − | 0.391776i | \(-0.871861\pi\) |
0.997305 | + | 0.0733723i | \(0.0233761\pi\) | |||||||
\(102\) | 2.43033 | − | 0.468408i | 0.240639 | − | 0.0463793i | ||||
\(103\) | −2.54039 | − | 1.30966i | −0.250312 | − | 0.129045i | 0.328505 | − | 0.944502i | \(-0.393455\pi\) |
−0.578817 | + | 0.815457i | \(0.696485\pi\) | |||||||
\(104\) | −4.41177 | + | 2.83527i | −0.432610 | + | 0.278021i | ||||
\(105\) | −6.43435 | − | 1.13698i | −0.627929 | − | 0.110958i | ||||
\(106\) | −10.1164 | + | 2.97044i | −0.982591 | + | 0.288515i | ||||
\(107\) | −9.97267 | + | 3.99245i | −0.964094 | + | 0.385965i | −0.799680 | − | 0.600426i | \(-0.794998\pi\) |
−0.164414 | + | 0.986391i | \(0.552573\pi\) | |||||||
\(108\) | 0.327068 | + | 0.945001i | 0.0314721 | + | 0.0909327i | ||||
\(109\) | −6.10141 | − | 8.56824i | −0.584409 | − | 0.820688i | 0.411465 | − | 0.911425i | \(-0.365017\pi\) |
−0.995875 | + | 0.0907371i | \(0.971078\pi\) | |||||||
\(110\) | 1.60154 | + | 6.60164i | 0.152701 | + | 0.629442i | ||||
\(111\) | −1.79231 | − | 3.92461i | −0.170119 | − | 0.372508i | ||||
\(112\) | −0.583832 | + | 2.58053i | −0.0551669 | + | 0.243837i | ||||
\(113\) | −5.81225 | − | 3.73531i | −0.546771 | − | 0.351388i | 0.237911 | − | 0.971287i | \(-0.423537\pi\) |
−0.784682 | + | 0.619899i | \(0.787174\pi\) | |||||||
\(114\) | −1.82936 | − | 3.16854i | −0.171335 | − | 0.296761i | ||||
\(115\) | 11.1534 | − | 3.98510i | 1.04006 | − | 0.371613i | ||||
\(116\) | −0.901960 | + | 1.56224i | −0.0837448 | + | 0.145050i | ||||
\(117\) | 0.249533 | − | 5.23834i | 0.0230693 | − | 0.484285i | ||||
\(118\) | −0.292000 | − | 2.03091i | −0.0268808 | − | 0.186960i | ||||
\(119\) | −5.45333 | + | 3.62529i | −0.499906 | + | 0.332330i | ||||
\(120\) | 2.36960 | + | 0.695776i | 0.216314 | + | 0.0635154i | ||||
\(121\) | 3.41831 | − | 0.326409i | 0.310755 | − | 0.0296735i | ||||
\(122\) | 2.31582 | + | 6.69113i | 0.209665 | + | 0.605787i | ||||
\(123\) | −2.85424 | − | 2.24460i | −0.257358 | − | 0.202389i | ||||
\(124\) | −4.42854 | − | 4.22260i | −0.397694 | − | 0.379201i | ||||
\(125\) | −6.30881 | − | 7.28076i | −0.564277 | − | 0.651211i | ||||
\(126\) | −1.76338 | − | 1.97243i | −0.157095 | − | 0.175718i | ||||
\(127\) | 16.9153 | − | 10.8708i | 1.50099 | − | 0.964629i | 0.506232 | − | 0.862397i | \(-0.331038\pi\) |
0.994761 | − | 0.102232i | \(-0.0325984\pi\) | |||||||
\(128\) | 0.327068 | − | 0.945001i | 0.0289090 | − | 0.0835271i | ||||
\(129\) | 1.41021 | − | 5.81297i | 0.124162 | − | 0.511804i | ||||
\(130\) | −10.1805 | − | 8.00606i | −0.892892 | − | 0.702178i | ||||
\(131\) | 7.01963 | + | 1.35292i | 0.613308 | + | 0.118205i | 0.486440 | − | 0.873714i | \(-0.338295\pi\) |
0.126868 | + | 0.991920i | \(0.459507\pi\) | |||||||
\(132\) | −1.14267 | + | 2.50209i | −0.0994563 | + | 0.217779i | ||||
\(133\) | 7.70088 | + | 5.86516i | 0.667751 | + | 0.508574i | ||||
\(134\) | 4.33988 | + | 9.50301i | 0.374909 | + | 0.820935i | ||||
\(135\) | −1.94126 | + | 1.52663i | −0.167077 | + | 0.131391i | ||||
\(136\) | 2.19992 | − | 1.13414i | 0.188642 | − | 0.0972516i | ||||
\(137\) | −10.1595 | + | 17.5968i | −0.867986 | + | 1.50340i | −0.00393551 | + | 0.999992i | \(0.501253\pi\) |
−0.864051 | + | 0.503404i | \(0.832081\pi\) | |||||||
\(138\) | 4.54747 | + | 1.52333i | 0.387106 | + | 0.129674i | ||||
\(139\) | −17.1476 | −1.45444 | −0.727220 | − | 0.686405i | \(-0.759188\pi\) | ||||
−0.727220 | + | 0.686405i | \(0.759188\pi\) | |||||||
\(140\) | −6.49404 | + | 0.721842i | −0.548847 | + | 0.0610068i | ||||
\(141\) | −1.12182 | − | 7.80241i | −0.0944740 | − | 0.657081i | ||||
\(142\) | −2.85470 | + | 4.00887i | −0.239561 | + | 0.336417i | ||||
\(143\) | 10.4400 | − | 9.95456i | 0.873040 | − | 0.832442i | ||||
\(144\) | 0.580057 | + | 0.814576i | 0.0483381 | + | 0.0678813i | ||||
\(145\) | −4.37451 | − | 0.843118i | −0.363283 | − | 0.0700171i | ||||
\(146\) | −1.80699 | + | 12.5679i | −0.149547 | + | 1.04013i | ||||
\(147\) | 6.31828 | + | 3.01319i | 0.521123 | + | 0.248524i | ||||
\(148\) | −2.82540 | − | 3.26069i | −0.232247 | − | 0.268027i | ||||
\(149\) | 4.50153 | + | 2.32070i | 0.368780 | + | 0.190119i | 0.632648 | − | 0.774440i | \(-0.281968\pi\) |
−0.263868 | + | 0.964559i | \(0.584998\pi\) | |||||||
\(150\) | 0.0522968 | + | 1.09784i | 0.00427001 | + | 0.0896386i | ||||
\(151\) | 7.87884 | − | 1.51852i | 0.641171 | − | 0.123576i | 0.141705 | − | 0.989909i | \(-0.454742\pi\) |
0.499466 | + | 0.866333i | \(0.333530\pi\) | |||||||
\(152\) | −2.64794 | − | 2.52481i | −0.214776 | − | 0.204789i | ||||
\(153\) | −0.352238 | + | 2.44987i | −0.0284767 | + | 0.198060i | ||||
\(154\) | 0.233566 | − | 7.27382i | 0.0188213 | − | 0.586141i | ||||
\(155\) | 6.27763 | − | 13.7461i | 0.504232 | − | 1.10411i | ||||
\(156\) | −1.23639 | − | 5.09645i | −0.0989901 | − | 0.408043i | ||||
\(157\) | 14.5448 | + | 1.38886i | 1.16080 | + | 0.110843i | 0.657628 | − | 0.753343i | \(-0.271560\pi\) |
0.503173 | + | 0.864186i | \(0.332166\pi\) | |||||||
\(158\) | −4.54754 | − | 1.82056i | −0.361783 | − | 0.144836i | ||||
\(159\) | 0.501679 | − | 10.5315i | 0.0397857 | − | 0.835205i | ||||
\(160\) | 2.46963 | 0.195242 | ||||||||
\(161\) | −12.6547 | + | 0.926256i | −0.997332 | + | 0.0729992i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 0.160879 | − | 3.37726i | 0.0126010 | − | 0.264527i | −0.983771 | − | 0.179427i | \(-0.942576\pi\) |
0.996372 | − | 0.0851007i | \(-0.0271212\pi\) | |||||||
\(164\) | −3.37100 | − | 1.34954i | −0.263231 | − | 0.105382i | ||||
\(165\) | −6.76237 | − | 0.645728i | −0.526450 | − | 0.0502698i | ||||
\(166\) | −0.640436 | − | 2.63991i | −0.0497075 | − | 0.204897i | ||||
\(167\) | 2.29451 | − | 5.02427i | 0.177554 | − | 0.388790i | −0.799840 | − | 0.600213i | \(-0.795082\pi\) |
0.977395 | + | 0.211423i | \(0.0678098\pi\) | |||||||
\(168\) | −2.24765 | − | 1.39573i | −0.173410 | − | 0.107683i | ||||
\(169\) | −2.06392 | + | 14.3549i | −0.158763 | + | 1.10422i | ||||
\(170\) | 4.42382 | + | 4.21810i | 0.339291 | + | 0.323514i | ||||
\(171\) | 3.59260 | − | 0.692417i | 0.274733 | − | 0.0529505i | ||||
\(172\) | −0.284615 | − | 5.97481i | −0.0217017 | − | 0.455575i | ||||
\(173\) | 19.5998 | + | 10.1044i | 1.49014 | + | 0.768223i | 0.994932 | − | 0.100549i | \(-0.0320600\pi\) |
0.495212 | + | 0.868772i | \(0.335090\pi\) | |||||||
\(174\) | −1.18132 | − | 1.36331i | −0.0895553 | − | 0.103352i | ||||
\(175\) | −1.24885 | − | 2.62609i | −0.0944039 | − | 0.198514i | ||||
\(176\) | −0.391460 | + | 2.72266i | −0.0295074 | + | 0.205229i | ||||
\(177\) | 2.01471 | + | 0.388304i | 0.151435 | + | 0.0291867i | ||||
\(178\) | −6.95050 | − | 9.76061i | −0.520962 | − | 0.731589i | ||||
\(179\) | 1.30217 | − | 1.24161i | 0.0973285 | − | 0.0928026i | −0.639853 | − | 0.768497i | \(-0.721005\pi\) |
0.737181 | + | 0.675695i | \(0.236156\pi\) | |||||||
\(180\) | −1.43253 | + | 2.01170i | −0.106774 | + | 0.149944i | ||||
\(181\) | −0.444911 | − | 3.09443i | −0.0330700 | − | 0.230007i | 0.966583 | − | 0.256354i | \(-0.0825214\pi\) |
−0.999653 | + | 0.0263476i | \(0.991612\pi\) | |||||||
\(182\) | 8.22254 | + | 11.1762i | 0.609496 | + | 0.828434i | ||||
\(183\) | −7.08056 | −0.523410 | ||||||||
\(184\) | 4.79244 | + | 0.180453i | 0.353303 | + | 0.0133032i | ||||
\(185\) | 5.32763 | − | 9.22772i | 0.391695 | − | 0.678435i | ||||
\(186\) | 5.43879 | − | 2.80389i | 0.398792 | − | 0.205591i | ||||
\(187\) | −5.35149 | + | 4.20846i | −0.391340 | + | 0.307753i | ||||
\(188\) | −3.27457 | − | 7.17030i | −0.238822 | − | 0.522948i | ||||
\(189\) | 2.44069 | − | 1.02128i | 0.177534 | − | 0.0742871i | ||||
\(190\) | 3.75356 | − | 8.21916i | 0.272312 | − | 0.596281i | ||||
\(191\) | 18.4000 | + | 3.54630i | 1.33137 | + | 0.256601i | 0.804809 | − | 0.593534i | \(-0.202268\pi\) |
0.526565 | + | 0.850135i | \(0.323480\pi\) | |||||||
\(192\) | 0.786053 | + | 0.618159i | 0.0567285 | + | 0.0446118i | ||||
\(193\) | −2.11590 | + | 8.72187i | −0.152306 | + | 0.627814i | 0.843564 | + | 0.537028i | \(0.180453\pi\) |
−0.995870 | + | 0.0907861i | \(0.971062\pi\) | |||||||
\(194\) | 2.53119 | − | 7.31340i | 0.181729 | − | 0.525072i | ||||
\(195\) | 10.8955 | − | 7.00209i | 0.780240 | − | 0.501430i | ||||
\(196\) | 6.91126 | + | 1.11107i | 0.493661 | + | 0.0793624i | ||||
\(197\) | −16.3076 | − | 18.8200i | −1.16187 | − | 1.34087i | −0.929756 | − | 0.368177i | \(-0.879982\pi\) |
−0.232112 | − | 0.972689i | \(-0.574564\pi\) | |||||||
\(198\) | −1.99075 | − | 1.89817i | −0.141476 | − | 0.134897i | ||||
\(199\) | −6.34651 | − | 4.99095i | −0.449892 | − | 0.353799i | 0.367361 | − | 0.930079i | \(-0.380262\pi\) |
−0.817253 | + | 0.576280i | \(0.804504\pi\) | |||||||
\(200\) | 0.359477 | + | 1.03864i | 0.0254189 | + | 0.0734429i | ||||
\(201\) | −10.3998 | + | 0.993059i | −0.733545 | + | 0.0700450i | ||||
\(202\) | 3.15935 | + | 0.927669i | 0.222291 | + | 0.0652706i | ||||
\(203\) | 4.27555 | + | 2.12097i | 0.300085 | + | 0.148863i | ||||
\(204\) | 0.352238 | + | 2.44987i | 0.0246616 | + | 0.171525i | ||||
\(205\) | 0.426690 | − | 8.95733i | 0.0298013 | − | 0.625607i | ||||
\(206\) | 1.42905 | − | 2.47519i | 0.0995669 | − | 0.172455i | ||||
\(207\) | −2.92688 | + | 3.79913i | −0.203432 | + | 0.264058i | ||||
\(208\) | −2.62214 | − | 4.54168i | −0.181813 | − | 0.314909i | ||||
\(209\) | 8.46629 | + | 5.44096i | 0.585626 | + | 0.376359i | ||||
\(210\) | 1.44185 | − | 6.37297i | 0.0994972 | − | 0.439776i | ||||
\(211\) | −10.0192 | − | 21.9391i | −0.689752 | − | 1.51035i | −0.851969 | − | 0.523592i | \(-0.824592\pi\) |
0.162217 | − | 0.986755i | \(-0.448136\pi\) | |||||||
\(212\) | −2.48572 | − | 10.2463i | −0.170720 | − | 0.703717i | ||||
\(213\) | −2.85470 | − | 4.00887i | −0.195601 | − | 0.274683i | ||||
\(214\) | −3.51341 | − | 10.1513i | −0.240172 | − | 0.693931i | ||||
\(215\) | 13.7142 | − | 5.49032i | 0.935297 | − | 0.374437i | ||||
\(216\) | −0.959493 | + | 0.281733i | −0.0652852 | + | 0.0191695i | ||||
\(217\) | −10.4109 | + | 12.3980i | −0.706736 | + | 0.841629i | ||||
\(218\) | 8.84885 | − | 5.68681i | 0.599320 | − | 0.385159i | ||||
\(219\) | −11.2857 | − | 5.81816i | −0.762614 | − | 0.393155i | ||||
\(220\) | −6.67037 | + | 1.28561i | −0.449716 | + | 0.0866757i | ||||
\(221\) | 3.06013 | − | 12.6140i | 0.205847 | − | 0.848512i | ||||
\(222\) | 4.00545 | − | 1.60354i | 0.268828 | − | 0.107623i | ||||
\(223\) | 0.247923 | − | 0.286118i | 0.0166021 | − | 0.0191599i | −0.747388 | − | 0.664388i | \(-0.768692\pi\) |
0.763990 | + | 0.645228i | \(0.223238\pi\) | |||||||
\(224\) | −2.54983 | − | 0.705957i | −0.170368 | − | 0.0471688i | ||||
\(225\) | −1.05457 | − | 0.309649i | −0.0703046 | − | 0.0206433i | ||||
\(226\) | 4.00764 | − | 5.62794i | 0.266584 | − | 0.374365i | ||||
\(227\) | −10.2016 | − | 4.08412i | −0.677107 | − | 0.271073i | 0.00751440 | − | 0.999972i | \(-0.497608\pi\) |
−0.684621 | + | 0.728899i | \(0.740032\pi\) | |||||||
\(228\) | 3.25200 | − | 1.67652i | 0.215369 | − | 0.111030i | ||||
\(229\) | 1.54879 | + | 2.68258i | 0.102347 | + | 0.177270i | 0.912651 | − | 0.408739i | \(-0.134031\pi\) |
−0.810304 | + | 0.586009i | \(0.800698\pi\) | |||||||
\(230\) | 3.44989 | + | 11.3304i | 0.227479 | + | 0.747103i | ||||
\(231\) | 6.79737 | + | 2.59975i | 0.447234 | + | 0.171051i | ||||
\(232\) | −1.51755 | − | 0.975272i | −0.0996323 | − | 0.0640298i | ||||
\(233\) | −23.7778 | + | 18.6991i | −1.55774 | + | 1.22502i | −0.695488 | + | 0.718538i | \(0.744812\pi\) |
−0.862251 | + | 0.506481i | \(0.830946\pi\) | |||||||
\(234\) | 5.22054 | + | 0.498501i | 0.341277 | + | 0.0325880i | ||||
\(235\) | 14.0891 | − | 13.4339i | 0.919071 | − | 0.876333i | ||||
\(236\) | 2.04250 | − | 0.195035i | 0.132956 | − | 0.0126957i | ||||
\(237\) | 3.20778 | − | 3.70198i | 0.208368 | − | 0.240469i | ||||
\(238\) | −3.36171 | − | 5.61965i | −0.217907 | − | 0.364268i | ||||
\(239\) | −5.72534 | + | 1.68111i | −0.370342 | + | 0.108742i | −0.461607 | − | 0.887085i | \(-0.652727\pi\) |
0.0912655 | + | 0.995827i | \(0.470909\pi\) | |||||||
\(240\) | −0.807738 | + | 2.33381i | −0.0521393 | + | 0.150647i | ||||
\(241\) | 0.555110 | + | 11.6532i | 0.0357578 | + | 0.750648i | 0.943551 | + | 0.331229i | \(0.107463\pi\) |
−0.907793 | + | 0.419419i | \(0.862234\pi\) | |||||||
\(242\) | 0.163390 | + | 3.42997i | 0.0105031 | + | 0.220487i | ||||
\(243\) | 0.327068 | − | 0.945001i | 0.0209814 | − | 0.0606218i | ||||
\(244\) | −6.79374 | + | 1.99482i | −0.434925 | + | 0.127705i | ||||
\(245\) | 2.98946 | + | 17.0270i | 0.190990 | + | 1.08781i | ||||
\(246\) | 2.37786 | − | 2.74420i | 0.151607 | − | 0.174964i | ||||
\(247\) | −19.1005 | + | 1.82387i | −1.21533 | + | 0.116050i | ||||
\(248\) | 4.42854 | − | 4.22260i | 0.281212 | − | 0.268135i | ||||
\(249\) | 2.70419 | + | 0.258219i | 0.171371 | + | 0.0163639i | ||||
\(250\) | 7.57269 | − | 5.95523i | 0.478939 | − | 0.376642i | ||||
\(251\) | 21.7019 | + | 13.9469i | 1.36981 | + | 0.880323i | 0.998832 | − | 0.0483192i | \(-0.0153865\pi\) |
0.370977 | + | 0.928642i | \(0.379023\pi\) | |||||||
\(252\) | 2.05410 | − | 1.66753i | 0.129396 | − | 0.105045i | ||||
\(253\) | −13.0381 | + | 2.00738i | −0.819697 | + | 0.126203i | ||||
\(254\) | 10.0536 | + | 17.4134i | 0.630822 | + | 1.09262i | ||||
\(255\) | −5.43300 | + | 2.80091i | −0.340228 | + | 0.175400i | ||||
\(256\) | 0.928368 | + | 0.371662i | 0.0580230 | + | 0.0232289i | ||||
\(257\) | 1.81927 | − | 2.55481i | 0.113483 | − | 0.159365i | −0.753928 | − | 0.656957i | \(-0.771843\pi\) |
0.867411 | + | 0.497593i | \(0.165783\pi\) | |||||||
\(258\) | 5.73929 | + | 1.68521i | 0.357313 | + | 0.104916i | ||||
\(259\) | −8.13842 | + | 8.00444i | −0.505697 | + | 0.497371i | ||||
\(260\) | 8.48140 | − | 9.78806i | 0.525994 | − | 0.607030i | ||||
\(261\) | 1.67470 | − | 0.670449i | 0.103661 | − | 0.0414998i | ||||
\(262\) | −1.68540 | + | 6.94731i | −0.104124 | + | 0.429206i | ||||
\(263\) | −0.240617 | + | 0.0463751i | −0.0148371 | + | 0.00285961i | −0.196664 | − | 0.980471i | \(-0.563011\pi\) |
0.181827 | + | 0.983330i | \(0.441799\pi\) | |||||||
\(264\) | −2.44489 | − | 1.26043i | −0.150472 | − | 0.0775739i | ||||
\(265\) | 21.9050 | − | 14.0775i | 1.34561 | − | 0.864773i | ||||
\(266\) | −6.22494 | + | 7.41308i | −0.381676 | + | 0.454525i | ||||
\(267\) | 11.4971 | − | 3.37584i | 0.703609 | − | 0.206598i | ||||
\(268\) | −9.69875 | + | 3.88279i | −0.592445 | + | 0.237179i | ||||
\(269\) | −2.19508 | − | 6.34227i | −0.133837 | − | 0.386695i | 0.858092 | − | 0.513497i | \(-0.171650\pi\) |
−0.991928 | + | 0.126801i | \(0.959529\pi\) | |||||||
\(270\) | −1.43253 | − | 2.01170i | −0.0871809 | − | 0.122428i | ||||
\(271\) | −3.97635 | − | 16.3907i | −0.241546 | − | 0.995666i | −0.955387 | − | 0.295358i | \(-0.904561\pi\) |
0.713841 | − | 0.700308i | \(-0.246954\pi\) | |||||||
\(272\) | 1.02818 | + | 2.25139i | 0.0623424 | + | 0.136511i | ||||
\(273\) | −13.2508 | + | 4.11494i | −0.801977 | + | 0.249047i | ||||
\(274\) | −17.0935 | − | 10.9853i | −1.03265 | − | 0.663646i | ||||
\(275\) | −1.51161 | − | 2.61819i | −0.0911536 | − | 0.157883i | ||||
\(276\) | −1.73798 | + | 4.46983i | −0.104614 | + | 0.269052i | ||||
\(277\) | −12.3613 | + | 21.4105i | −0.742721 | + | 1.28643i | 0.208530 | + | 0.978016i | \(0.433132\pi\) |
−0.951252 | + | 0.308415i | \(0.900201\pi\) | |||||||
\(278\) | 0.815915 | − | 17.1282i | 0.0489353 | − | 1.02728i | ||||
\(279\) | 0.870826 | + | 6.05673i | 0.0521350 | + | 0.362607i | ||||
\(280\) | −0.412026 | − | 6.52103i | −0.0246232 | − | 0.389706i | ||||
\(281\) | 14.6134 | + | 4.29089i | 0.871764 | + | 0.255973i | 0.686865 | − | 0.726785i | \(-0.258986\pi\) |
0.184899 | + | 0.982758i | \(0.440804\pi\) | |||||||
\(282\) | 7.84695 | − | 0.749293i | 0.467279 | − | 0.0446197i | ||||
\(283\) | 6.97700 | + | 20.1587i | 0.414739 | + | 1.19831i | 0.938150 | + | 0.346230i | \(0.112538\pi\) |
−0.523410 | + | 0.852081i | \(0.675340\pi\) | |||||||
\(284\) | −3.86850 | − | 3.04222i | −0.229553 | − | 0.180523i | ||||
\(285\) | 6.53944 | + | 6.23535i | 0.387363 | + | 0.369350i | ||||
\(286\) | 9.44653 | + | 10.9019i | 0.558585 | + | 0.644642i | ||||
\(287\) | −3.00104 | + | 9.12622i | −0.177146 | + | 0.538704i | ||||
\(288\) | −0.841254 | + | 0.540641i | −0.0495713 | + | 0.0318576i | ||||
\(289\) | 3.55656 | − | 10.2760i | 0.209209 | − | 0.604471i | ||||
\(290\) | 1.05031 | − | 4.32944i | 0.0616764 | − | 0.254233i | ||||
\(291\) | 6.08330 | + | 4.78396i | 0.356609 | + | 0.280441i | ||||
\(292\) | −12.4677 | − | 2.40295i | −0.729615 | − | 0.140622i | ||||
\(293\) | 0.809176 | − | 1.77185i | 0.0472726 | − | 0.103513i | −0.884522 | − | 0.466498i | \(-0.845515\pi\) |
0.931795 | + | 0.362986i | \(0.118243\pi\) | |||||||
\(294\) | −3.31042 | + | 6.16775i | −0.193067 | + | 0.359710i | ||||
\(295\) | 2.10498 | + | 4.60926i | 0.122557 | + | 0.268362i | ||||
\(296\) | 3.39143 | − | 2.66705i | 0.197123 | − | 0.155019i | ||||
\(297\) | 2.44489 | − | 1.26043i | 0.141867 | − | 0.0731374i | ||||
\(298\) | −2.53226 | + | 4.38601i | −0.146690 | + | 0.254074i | ||||
\(299\) | 17.1737 | − | 18.3744i | 0.993183 | − | 1.06262i | ||||
\(300\) | −1.09909 | −0.0634559 | ||||||||
\(301\) | −15.7289 | + | 1.74834i | −0.906600 | + | 0.100773i | ||||
\(302\) | 1.14191 | + | 7.94217i | 0.0657096 | + | 0.457021i | ||||
\(303\) | −1.90997 | + | 2.68218i | −0.109725 | + | 0.154087i | ||||
\(304\) | 2.64794 | − | 2.52481i | 0.151870 | − | 0.144808i | ||||
\(305\) | −10.1431 | − | 14.2440i | −0.580792 | − | 0.815608i | ||||
\(306\) | −2.43033 | − | 0.468408i | −0.138933 | − | 0.0267771i | ||||
\(307\) | −4.68904 | + | 32.6130i | −0.267618 | + | 1.86132i | 0.203262 | + | 0.979124i | \(0.434846\pi\) |
−0.470880 | + | 0.882198i | \(0.656063\pi\) | |||||||
\(308\) | 7.25447 | + | 0.579404i | 0.413362 | + | 0.0330146i | ||||
\(309\) | 1.87166 | + | 2.16001i | 0.106475 | + | 0.122879i | ||||
\(310\) | 13.4318 | + | 6.92459i | 0.762877 | + | 0.393290i | ||||
\(311\) | −0.956392 | − | 20.0771i | −0.0542320 | − | 1.13847i | −0.847913 | − | 0.530136i | \(-0.822141\pi\) |
0.793681 | − | 0.608335i | \(-0.208162\pi\) | |||||||
\(312\) | 5.14951 | − | 0.992487i | 0.291534 | − | 0.0561885i | ||||
\(313\) | −17.5353 | − | 16.7199i | −0.991154 | − | 0.945063i | 0.00733765 | − | 0.999973i | \(-0.497664\pi\) |
−0.998491 | + | 0.0549100i | \(0.982513\pi\) | |||||||
\(314\) | −2.07936 | + | 14.4622i | −0.117345 | + | 0.816152i | ||||
\(315\) | 5.55087 | + | 3.44694i | 0.312756 | + | 0.194213i | ||||
\(316\) | 2.03488 | − | 4.45576i | 0.114471 | − | 0.250656i | ||||
\(317\) | 0.657955 | + | 2.71213i | 0.0369544 | + | 0.152328i | 0.987300 | − | 0.158870i | \(-0.0507850\pi\) |
−0.950345 | + | 0.311198i | \(0.899270\pi\) | |||||||
\(318\) | 10.4957 | + | 1.00222i | 0.588572 | + | 0.0562018i | ||||
\(319\) | 4.60654 | + | 1.84418i | 0.257916 | + | 0.103254i | ||||
\(320\) | −0.117510 | + | 2.46684i | −0.00656900 | + | 0.137900i | ||||
\(321\) | 10.7422 | 0.599568 | ||||||||
\(322\) | −0.323070 | − | 12.6845i | −0.0180040 | − | 0.706878i | ||||
\(323\) | 9.05556 | 0.503865 | ||||||||
\(324\) | 0.0475819 | − | 0.998867i | 0.00264344 | − | 0.0554926i | ||||
\(325\) | 5.35105 | + | 2.14224i | 0.296823 | + | 0.118830i | ||||
\(326\) | 3.36578 | + | 0.321393i | 0.186413 | + | 0.0178003i | ||||
\(327\) | 2.47986 | + | 10.2221i | 0.137137 | + | 0.565286i | ||||
\(328\) | 1.50841 | − | 3.30296i | 0.0832882 | − | 0.182376i | ||||
\(329\) | −18.3868 | + | 9.84272i | −1.01369 | + | 0.542647i | ||||
\(330\) | 0.966763 | − | 6.72398i | 0.0532185 | − | 0.370143i | ||||
\(331\) | −18.1328 | − | 17.2896i | −0.996668 | − | 0.950321i | 0.00209740 | − | 0.999998i | \(-0.499332\pi\) |
−0.998765 | + | 0.0496768i | \(0.984181\pi\) | |||||||
\(332\) | 2.66740 | − | 0.514099i | 0.146392 | − | 0.0282148i | ||||
\(333\) | 0.205293 | + | 4.30962i | 0.0112500 | + | 0.236166i | ||||
\(334\) | 4.90941 | + | 2.53097i | 0.268631 | + | 0.138489i | ||||
\(335\) | −16.8957 | − | 19.4987i | −0.923112 | − | 1.06533i | ||||
\(336\) | 1.50110 | − | 2.17869i | 0.0818916 | − | 0.118857i | ||||
\(337\) | 3.70092 | − | 25.7405i | 0.201602 | − | 1.40217i | −0.597930 | − | 0.801548i | \(-0.704010\pi\) |
0.799532 | − | 0.600624i | \(-0.205081\pi\) | |||||||
\(338\) | −14.2404 | − | 2.74462i | −0.774577 | − | 0.149287i | ||||
\(339\) | 4.00764 | + | 5.62794i | 0.217665 | + | 0.305668i | ||||
\(340\) | −4.42382 | + | 4.21810i | −0.239915 | + | 0.228759i | ||||
\(341\) | −9.76313 | + | 13.7104i | −0.528703 | + | 0.742460i | ||||
\(342\) | 0.520690 | + | 3.62148i | 0.0281557 | + | 0.195827i | ||||
\(343\) | 1.78072 | − | 18.4345i | 0.0961498 | − | 0.995367i | ||||
\(344\) | 5.98159 | 0.322506 | ||||||||
\(345\) | −11.8356 | − | 0.445653i | −0.637205 | − | 0.0239932i | ||||
\(346\) | −11.0255 | + | 19.0968i | −0.592737 | + | 1.02665i | ||||
\(347\) | 1.62253 | − | 0.836474i | 0.0871022 | − | 0.0449043i | −0.414125 | − | 0.910220i | \(-0.635912\pi\) |
0.501227 | + | 0.865316i | \(0.332882\pi\) | |||||||
\(348\) | 1.41798 | − | 1.11511i | 0.0760115 | − | 0.0597761i | ||||
\(349\) | −0.970150 | − | 2.12433i | −0.0519309 | − | 0.113713i | 0.881888 | − | 0.471459i | \(-0.156273\pi\) |
−0.933819 | + | 0.357746i | \(0.883545\pi\) | |||||||
\(350\) | 2.68254 | − | 1.12248i | 0.143388 | − | 0.0599989i | ||||
\(351\) | −2.17855 | + | 4.77037i | −0.116283 | + | 0.254623i | ||||
\(352\) | −2.70095 | − | 0.520566i | −0.143961 | − | 0.0277463i | ||||
\(353\) | −10.4370 | − | 8.20771i | −0.555503 | − | 0.436852i | 0.300531 | − | 0.953772i | \(-0.402836\pi\) |
−0.856034 | + | 0.516920i | \(0.827079\pi\) | |||||||
\(354\) | −0.483728 | + | 1.99396i | −0.0257099 | + | 0.105978i | ||||
\(355\) | 3.97522 | − | 11.4856i | 0.210983 | − | 0.609594i | ||||
\(356\) | 10.0803 | − | 6.47820i | 0.534253 | − | 0.343344i | ||||
\(357\) | 6.41008 | − | 1.33881i | 0.339257 | − | 0.0708572i | ||||
\(358\) | 1.17825 | + | 1.35977i | 0.0622723 | + | 0.0718661i | ||||
\(359\) | −17.8457 | − | 17.0158i | −0.941860 | − | 0.898062i | 0.0530740 | − | 0.998591i | \(-0.483098\pi\) |
−0.994934 | + | 0.100529i | \(0.967947\pi\) | |||||||
\(360\) | −1.94126 | − | 1.52663i | −0.102314 | − | 0.0804603i | ||||
\(361\) | 1.83608 | + | 5.30501i | 0.0966359 | + | 0.279211i | ||||
\(362\) | 3.11209 | − | 0.297169i | 0.163568 | − | 0.0156188i | ||||
\(363\) | −3.29476 | − | 0.967429i | −0.172930 | − | 0.0507769i | ||||
\(364\) | −11.5548 | + | 7.68145i | −0.605635 | + | 0.402617i | ||||
\(365\) | −4.46260 | − | 31.0381i | −0.233583 | − | 1.62461i | ||||
\(366\) | 0.336906 | − | 7.07254i | 0.0176104 | − | 0.369687i | ||||
\(367\) | −12.1329 | + | 21.0149i | −0.633334 | + | 1.09697i | 0.353531 | + | 0.935423i | \(0.384981\pi\) |
−0.986865 | + | 0.161544i | \(0.948352\pi\) | |||||||
\(368\) | −0.408282 | + | 4.77842i | −0.0212832 | + | 0.249092i | ||||
\(369\) | 1.81555 | + | 3.14463i | 0.0945138 | + | 0.163703i | ||||
\(370\) | 8.96377 | + | 5.76066i | 0.466004 | + | 0.299483i | ||||
\(371\) | −26.6404 | + | 8.27296i | −1.38310 | + | 0.429511i | ||||
\(372\) | 2.54193 | + | 5.56605i | 0.131793 | + | 0.288586i | ||||
\(373\) | 7.08238 | + | 29.1940i | 0.366712 | + | 1.51161i | 0.794240 | + | 0.607605i | \(0.207869\pi\) |
−0.427528 | + | 0.904002i | \(0.640615\pi\) | |||||||
\(374\) | −3.94906 | − | 5.54568i | −0.204201 | − | 0.286760i | ||||
\(375\) | 3.15091 | + | 9.10397i | 0.162712 | + | 0.470127i | ||||
\(376\) | 7.31799 | − | 2.92968i | 0.377397 | − | 0.151087i | ||||
\(377\) | −9.07706 | + | 2.66526i | −0.467492 | + | 0.137268i | ||||
\(378\) | 0.903990 | + | 2.48652i | 0.0464962 | + | 0.127893i | ||||
\(379\) | 3.44889 | − | 2.21646i | 0.177157 | − | 0.113852i | −0.449057 | − | 0.893503i | \(-0.648240\pi\) |
0.626214 | + | 0.779651i | \(0.284604\pi\) | |||||||
\(380\) | 8.03125 | + | 4.14040i | 0.411994 | + | 0.212398i | ||||
\(381\) | −19.7439 | + | 3.80533i | −1.01151 | + | 0.194953i | ||||
\(382\) | −4.41779 | + | 18.2104i | −0.226034 | + | 0.931724i | ||||
\(383\) | 17.6069 | − | 7.04873i | 0.899669 | − | 0.360173i | 0.124717 | − | 0.992192i | \(-0.460198\pi\) |
0.774953 | + | 0.632019i | \(0.217774\pi\) | |||||||
\(384\) | −0.654861 | + | 0.755750i | −0.0334182 | + | 0.0385667i | ||||
\(385\) | 4.50749 | + | 17.3985i | 0.229723 | + | 0.886711i | ||||
\(386\) | −8.61132 | − | 2.52851i | −0.438304 | − | 0.128698i | ||||
\(387\) | −3.46966 | + | 4.87246i | −0.176373 | + | 0.247681i | ||||
\(388\) | 7.18468 | + | 2.87631i | 0.364747 | + | 0.146023i | ||||
\(389\) | −3.71146 | + | 1.91339i | −0.188179 | + | 0.0970129i | −0.549741 | − | 0.835335i | \(-0.685274\pi\) |
0.361563 | + | 0.932348i | \(0.382243\pi\) | |||||||
\(390\) | 6.47573 | + | 11.2163i | 0.327911 | + | 0.567959i | ||||
\(391\) | −8.89283 | + | 7.86218i | −0.449730 | + | 0.397607i | ||||
\(392\) | −1.43867 | + | 6.85057i | −0.0726636 | + | 0.346006i | ||||
\(393\) | −6.01397 | − | 3.86494i | −0.303365 | − | 0.194961i | ||||
\(394\) | 19.5746 | − | 15.3936i | 0.986154 | − | 0.775520i | ||||
\(395\) | 12.0425 | + | 1.14992i | 0.605925 | + | 0.0578588i | ||||
\(396\) | 1.99075 | − | 1.89817i | 0.100039 | − | 0.0953868i | ||||
\(397\) | −4.43494 | + | 0.423486i | −0.222583 | + | 0.0212541i | −0.205752 | − | 0.978604i | \(-0.565964\pi\) |
−0.0168316 | + | 0.999858i | \(0.505358\pi\) | |||||||
\(398\) | 5.28728 | − | 6.10184i | 0.265027 | − | 0.305858i | ||||
\(399\) | −4.96939 | − | 8.30716i | −0.248781 | − | 0.415878i | ||||
\(400\) | −1.05457 | + | 0.309649i | −0.0527284 | + | 0.0154825i | ||||
\(401\) | −3.04798 | + | 8.80655i | −0.152209 | + | 0.439778i | −0.995167 | − | 0.0982015i | \(-0.968691\pi\) |
0.842958 | + | 0.537980i | \(0.180812\pi\) | |||||||
\(402\) | −0.497093 | − | 10.4353i | −0.0247927 | − | 0.520464i | ||||
\(403\) | −1.52690 | − | 32.0535i | −0.0760601 | − | 1.59670i | ||||
\(404\) | −1.07695 | + | 3.11163i | −0.0535801 | + | 0.154809i | ||||
\(405\) | 2.36960 | − | 0.695776i | 0.117746 | − | 0.0345734i | ||||
\(406\) | −2.32201 | + | 4.16979i | −0.115239 | + | 0.206943i | ||||
\(407\) | −7.77173 | + | 8.96905i | −0.385230 | + | 0.444579i | ||||
\(408\) | −2.46385 | + | 0.235270i | −0.121979 | + | 0.0116476i | ||||
\(409\) | 4.17628 | − | 3.98208i | 0.206504 | − | 0.196901i | −0.579768 | − | 0.814781i | \(-0.696857\pi\) |
0.786272 | + | 0.617880i | \(0.212008\pi\) | |||||||
\(410\) | 8.92688 | + | 0.852414i | 0.440867 | + | 0.0420977i | ||||
\(411\) | 15.9718 | − | 12.5604i | 0.787833 | − | 0.619559i | ||||
\(412\) | 2.40439 | + | 1.54521i | 0.118456 | + | 0.0761270i | ||||
\(413\) | −0.855752 | − | 5.36066i | −0.0421088 | − | 0.263781i | ||||
\(414\) | −3.65556 | − | 3.10433i | −0.179661 | − | 0.152570i | ||||
\(415\) | 3.35437 | + | 5.80993i | 0.164659 | + | 0.285198i | ||||
\(416\) | 4.66130 | − | 2.40307i | 0.228539 | − | 0.117820i | ||||
\(417\) | 15.9193 | + | 6.37312i | 0.779570 | + | 0.312093i | ||||
\(418\) | −5.83764 | + | 8.19781i | −0.285528 | + | 0.400968i | ||||
\(419\) | 8.12650 | + | 2.38616i | 0.397006 | + | 0.116571i | 0.474140 | − | 0.880449i | \(-0.342759\pi\) |
−0.0771346 | + | 0.997021i | \(0.524577\pi\) | |||||||
\(420\) | 6.29714 | + | 1.74346i | 0.307269 | + | 0.0850719i | ||||
\(421\) | 23.7861 | − | 27.4506i | 1.15926 | − | 1.33786i | 0.227935 | − | 0.973676i | \(-0.426803\pi\) |
0.931327 | − | 0.364183i | \(-0.118652\pi\) | |||||||
\(422\) | 22.3909 | − | 8.96398i | 1.08997 | − | 0.436360i | ||||
\(423\) | −1.85840 | + | 7.66044i | −0.0903586 | + | 0.372463i | ||||
\(424\) | 10.3529 | − | 1.99537i | 0.502783 | − | 0.0969036i | ||||
\(425\) | −2.41791 | − | 1.24652i | −0.117286 | − | 0.0604651i | ||||
\(426\) | 4.14016 | − | 2.66072i | 0.200592 | − | 0.128912i | ||||
\(427\) | 6.40075 | + | 17.6060i | 0.309754 | + | 0.852013i | ||||
\(428\) | 10.3070 | − | 3.02641i | 0.498209 | − | 0.146287i | ||||
\(429\) | −13.3919 | + | 5.36132i | −0.646569 | + | 0.258847i | ||||
\(430\) | 4.83155 | + | 13.9599i | 0.232998 | + | 0.673204i | ||||
\(431\) | 17.3280 | + | 24.3338i | 0.834662 | + | 1.17212i | 0.983077 | + | 0.183194i | \(0.0586435\pi\) |
−0.148415 | + | 0.988925i | \(0.547417\pi\) | |||||||
\(432\) | −0.235759 | − | 0.971812i | −0.0113430 | − | 0.0467563i | ||||
\(433\) | 4.18593 | + | 9.16590i | 0.201163 | + | 0.440485i | 0.983148 | − | 0.182812i | \(-0.0585200\pi\) |
−0.781985 | + | 0.623297i | \(0.785793\pi\) | |||||||
\(434\) | −11.8886 | − | 10.9890i | −0.570669 | − | 0.527489i | ||||
\(435\) | 3.74780 | + | 2.40857i | 0.179693 | + | 0.115482i | ||||
\(436\) | 5.25932 | + | 9.10942i | 0.251876 | + | 0.436262i | ||||
\(437\) | 15.2825 | + | 8.62146i | 0.731060 | + | 0.412420i | ||||
\(438\) | 6.34856 | − | 10.9960i | 0.303346 | − | 0.525411i | ||||
\(439\) | −0.107753 | + | 2.26200i | −0.00514275 | + | 0.107960i | 0.994836 | + | 0.101492i | \(0.0323617\pi\) |
−0.999979 | + | 0.00646740i | \(0.997941\pi\) | |||||||
\(440\) | −0.966763 | − | 6.72398i | −0.0460886 | − | 0.320553i | ||||
\(441\) | −4.74580 | − | 5.14562i | −0.225990 | − | 0.245030i | ||||
\(442\) | 12.4541 | + | 3.65687i | 0.592383 | + | 0.173939i | ||||
\(443\) | −1.59855 | + | 0.152643i | −0.0759495 | + | 0.00725230i | −0.132962 | − | 0.991121i | \(-0.542449\pi\) |
0.0570121 | + | 0.998373i | \(0.481843\pi\) | |||||||
\(444\) | 1.41114 | + | 4.07721i | 0.0669696 | + | 0.193496i | ||||
\(445\) | 23.2611 | + | 18.2927i | 1.10268 | + | 0.867158i | ||||
\(446\) | 0.273997 | + | 0.261256i | 0.0129742 | + | 0.0123708i | ||||
\(447\) | −3.31656 | − | 3.82751i | −0.156868 | − | 0.181035i | ||||
\(448\) | 0.826484 | − | 2.51335i | 0.0390477 | − | 0.118745i | ||||
\(449\) | −14.5179 | + | 9.33008i | −0.685142 | + | 0.440314i | −0.836356 | − | 0.548187i | \(-0.815318\pi\) |
0.151214 | + | 0.988501i | \(0.451682\pi\) | |||||||
\(450\) | 0.359477 | − | 1.03864i | 0.0169459 | − | 0.0489620i | ||||
\(451\) | −2.35474 | + | 9.70639i | −0.110881 | + | 0.457056i | ||||
\(452\) | 5.43087 | + | 4.27089i | 0.255447 | + | 0.200886i | ||||
\(453\) | −7.87884 | − | 1.51852i | −0.370180 | − | 0.0713464i | ||||
\(454\) | 4.56491 | − | 9.99576i | 0.214242 | − | 0.469124i | ||||
\(455\) | −27.2602 | − | 20.7620i | −1.27798 | − | 0.973338i | ||||
\(456\) | 1.51989 | + | 3.32809i | 0.0711752 | + | 0.155852i | ||||
\(457\) | 19.0959 | − | 15.0172i | 0.893267 | − | 0.702473i | −0.0620449 | − | 0.998073i | \(-0.519762\pi\) |
0.955312 | + | 0.295601i | \(0.0955198\pi\) | |||||||
\(458\) | −2.75324 | + | 1.41939i | −0.128650 | + | 0.0663239i | ||||
\(459\) | 1.23753 | − | 2.14347i | 0.0577630 | − | 0.100048i | ||||
\(460\) | −11.4817 | + | 2.90686i | −0.535337 | + | 0.135533i | ||||
\(461\) | −35.4524 | −1.65118 | −0.825590 | − | 0.564270i | \(-0.809158\pi\) | ||||
−0.825590 | + | 0.564270i | \(0.809158\pi\) | |||||||
\(462\) | −2.92024 | + | 6.66597i | −0.135862 | + | 0.310129i | ||||
\(463\) | 2.26510 | + | 15.7541i | 0.105268 | + | 0.732157i | 0.972272 | + | 0.233854i | \(0.0751339\pi\) |
−0.867003 | + | 0.498302i | \(0.833957\pi\) | |||||||
\(464\) | 1.04638 | − | 1.46943i | 0.0485768 | − | 0.0682165i | ||||
\(465\) | −10.9369 | + | 10.4283i | −0.507185 | + | 0.483600i | ||||
\(466\) | −17.5465 | − | 24.6407i | −0.812827 | − | 1.14146i | ||||
\(467\) | 22.8801 | + | 4.40977i | 1.05876 | + | 0.204060i | 0.688774 | − | 0.724976i | \(-0.258149\pi\) |
0.369989 | + | 0.929036i | \(0.379361\pi\) | |||||||
\(468\) | −0.746339 | + | 5.19090i | −0.0344995 | + | 0.239950i | ||||
\(469\) | 11.8706 | + | 24.9616i | 0.548132 | + | 1.15262i | ||||
\(470\) | 12.7483 | + | 14.7124i | 0.588036 | + | 0.678630i | ||||
\(471\) | −12.9867 | − | 6.69513i | −0.598397 | − | 0.308495i | ||||
\(472\) | 0.0976282 | + | 2.04947i | 0.00449370 | + | 0.0943344i | ||||
\(473\) | −16.1560 | + | 3.11381i | −0.742853 | + | 0.143173i | ||||
\(474\) | 3.54515 | + | 3.38030i | 0.162834 | + | 0.155262i | ||||
\(475\) | −0.572285 | + | 3.98033i | −0.0262582 | + | 0.182630i | ||||
\(476\) | 5.77324 | − | 3.09050i | 0.264616 | − | 0.141653i | ||||
\(477\) | −4.37992 | + | 9.59069i | −0.200543 | + | 0.439127i | ||||
\(478\) | −1.40679 | − | 5.79885i | −0.0643449 | − | 0.265233i | ||||
\(479\) | 27.9463 | + | 2.66855i | 1.27690 | + | 0.121929i | 0.711381 | − | 0.702807i | \(-0.248070\pi\) |
0.565518 | + | 0.824736i | \(0.308676\pi\) | |||||||
\(480\) | −2.29273 | − | 0.917870i | −0.104648 | − | 0.0418948i | ||||
\(481\) | 1.07661 | − | 22.6009i | 0.0490893 | − | 1.03051i | ||||
\(482\) | −11.6664 | −0.531390 | ||||||||
\(483\) | 12.0925 | + | 3.84338i | 0.550228 | + | 0.174880i | ||||
\(484\) | −3.43386 | −0.156084 | ||||||||
\(485\) | −0.909414 | + | 19.0909i | −0.0412944 | + | 0.866875i | ||||
\(486\) | 0.928368 | + | 0.371662i | 0.0421116 | + | 0.0168590i | ||||
\(487\) | 20.0017 | + | 1.90993i | 0.906365 | + | 0.0865473i | 0.537817 | − | 0.843062i | \(-0.319249\pi\) |
0.368548 | + | 0.929609i | \(0.379855\pi\) | |||||||
\(488\) | −1.66930 | − | 6.88097i | −0.0755659 | − | 0.311487i | ||||
\(489\) | −1.40455 | + | 3.07554i | −0.0635161 | + | 0.139081i | ||||
\(490\) | −17.1500 | + | 2.17590i | −0.774756 | + | 0.0982970i | ||||
\(491\) | −5.64486 | + | 39.2609i | −0.254749 | + | 1.77182i | 0.314114 | + | 0.949385i | \(0.398293\pi\) |
−0.568863 | + | 0.822433i | \(0.692616\pi\) | |||||||
\(492\) | 2.62795 | + | 2.50575i | 0.118477 | + | 0.112968i | ||||
\(493\) | 4.38413 | − | 0.844971i | 0.197451 | − | 0.0380556i | ||||
\(494\) | −0.912972 | − | 19.1656i | −0.0410765 | − | 0.862303i | ||||
\(495\) | 6.03797 | + | 3.11279i | 0.271387 | + | 0.139910i | ||||
\(496\) | 4.00710 | + | 4.62444i | 0.179924 | + | 0.207644i | ||||
\(497\) | −7.38753 | + | 10.7223i | −0.331376 | + | 0.480959i | ||||
\(498\) | −0.386597 | + | 2.68884i | −0.0173238 | + | 0.120490i | ||||
\(499\) | −39.7202 | − | 7.65544i | −1.77812 | − | 0.342704i | −0.808720 | − | 0.588194i | \(-0.799839\pi\) |
−0.969399 | + | 0.245490i | \(0.921051\pi\) | |||||||
\(500\) | 5.58816 | + | 7.84748i | 0.249910 | + | 0.350950i | ||||
\(501\) | −3.99748 | + | 3.81159i | −0.178594 | + | 0.170289i | ||||
\(502\) | −14.9638 | + | 21.0137i | −0.667865 | + | 0.937885i | ||||
\(503\) | 2.58159 | + | 17.9553i | 0.115107 | + | 0.800589i | 0.962822 | + | 0.270137i | \(0.0870689\pi\) |
−0.847715 | + | 0.530453i | \(0.822022\pi\) | |||||||
\(504\) | 1.56791 | + | 2.13112i | 0.0698401 | + | 0.0949276i | ||||
\(505\) | −8.13184 | −0.361862 | ||||||||
\(506\) | −1.38473 | − | 13.1188i | −0.0615589 | − | 0.583203i | ||||
\(507\) | 7.25125 | − | 12.5595i | 0.322039 | − | 0.557789i | ||||
\(508\) | −17.8721 | + | 9.21369i | −0.792945 | + | 0.408791i | ||||
\(509\) | 5.61120 | − | 4.41270i | 0.248712 | − | 0.195590i | −0.486018 | − | 0.873949i | \(-0.661551\pi\) |
0.734730 | + | 0.678359i | \(0.237309\pi\) | |||||||
\(510\) | −2.53922 | − | 5.56012i | −0.112439 | − | 0.246206i | ||||
\(511\) | −4.26488 | + | 33.3216i | −0.188667 | + | 1.47406i | ||||
\(512\) | −0.415415 | + | 0.909632i | −0.0183589 | + | 0.0402004i | ||||
\(513\) | −3.59260 | − | 0.692417i | −0.158617 | − | 0.0305710i | ||||
\(514\) | 2.46535 | + | 1.93877i | 0.108742 | + | 0.0855157i | ||||
\(515\) | −1.66410 | + | 6.85951i | −0.0733290 | + | 0.302266i | ||||
\(516\) | −1.95639 | + | 5.65260i | −0.0861251 | + | 0.248842i | ||||
\(517\) | −18.2405 | + | 11.7224i | −0.802215 | + | 0.515552i | ||||
\(518\) | −7.60813 | − | 8.51007i | −0.334282 | − | 0.373911i | ||||
\(519\) | −14.4404 | − | 16.6651i | −0.633863 | − | 0.731517i | ||||
\(520\) | 9.37341 | + | 8.93753i | 0.411051 | + | 0.391937i | ||||
\(521\) | −22.0838 | − | 17.3669i | −0.967507 | − | 0.760856i | 0.00347837 | − | 0.999994i | \(-0.498893\pi\) |
−0.970986 | + | 0.239138i | \(0.923135\pi\) | |||||||
\(522\) | 0.590004 | + | 1.70471i | 0.0258238 | + | 0.0746129i | ||||
\(523\) | −33.8619 | + | 3.23342i | −1.48068 | + | 0.141388i | −0.803885 | − | 0.594785i | \(-0.797237\pi\) |
−0.676794 | + | 0.736173i | \(0.736631\pi\) | |||||||
\(524\) | −6.85924 | − | 2.01406i | −0.299647 | − | 0.0879844i | ||||
\(525\) | 0.183368 | + | 2.90213i | 0.00800286 | + | 0.126659i | ||||
\(526\) | −0.0348736 | − | 0.242551i | −0.00152056 | − | 0.0105757i | ||||
\(527\) | −0.720625 | + | 15.1278i | −0.0313909 | + | 0.658976i | ||||
\(528\) | 1.37533 | − | 2.38214i | 0.0598536 | − | 0.103669i | ||||
\(529\) | −22.4931 | + | 4.80194i | −0.977963 | + | 0.208780i | ||||
\(530\) | 13.0193 | + | 22.5500i | 0.565521 | + | 0.979510i | ||||
\(531\) | −1.72608 | − | 1.10928i | −0.0749054 | − | 0.0481388i | ||||
\(532\) | −7.10849 | − | 6.57062i | −0.308192 | − | 0.284872i | ||||
\(533\) | −7.91055 | − | 17.3217i | −0.342644 | − | 0.750285i | ||||
\(534\) | 2.82497 | + | 11.6447i | 0.122248 | + | 0.503914i | ||||
\(535\) | 15.3884 | + | 21.6100i | 0.665300 | + | 0.934283i | ||||
\(536\) | −3.41691 | − | 9.87251i | −0.147588 | − | 0.426428i | ||||
\(537\) | −1.67035 | + | 0.668708i | −0.0720810 | + | 0.0288569i | ||||
\(538\) | 6.43954 | − | 1.89082i | 0.277628 | − | 0.0815190i | ||||
\(539\) | 0.319597 | − | 19.2520i | 0.0137660 | − | 0.829242i | ||||
\(540\) | 2.07759 | − | 1.33518i | 0.0894051 | − | 0.0574572i | ||||
\(541\) | 1.99797 | + | 1.03003i | 0.0858996 | + | 0.0442843i | 0.500641 | − | 0.865655i | \(-0.333098\pi\) |
−0.414741 | + | 0.909939i | \(0.636128\pi\) | |||||||
\(542\) | 16.5614 | − | 3.19194i | 0.711372 | − | 0.137106i | ||||
\(543\) | −0.737041 | + | 3.03812i | −0.0316294 | + | 0.130378i | ||||
\(544\) | −2.29777 | + | 0.919887i | −0.0985160 | + | 0.0394398i | ||||
\(545\) | −17.0114 | + | 19.6323i | −0.728690 | + | 0.840954i | ||||
\(546\) | −3.47978 | − | 13.4316i | −0.148921 | − | 0.574821i | ||||
\(547\) | −12.0491 | − | 3.53793i | −0.515181 | − | 0.151271i | 0.0137995 | − | 0.999905i | \(-0.495607\pi\) |
−0.528980 | + | 0.848634i | \(0.677426\pi\) | |||||||
\(548\) | 11.7862 | − | 16.5514i | 0.503482 | − | 0.707041i | ||||
\(549\) | 6.57336 | + | 2.63158i | 0.280544 | + | 0.112313i | ||||
\(550\) | 2.68715 | − | 1.38532i | 0.114580 | − | 0.0590703i | ||||
\(551\) | −3.30002 | − | 5.71580i | −0.140585 | − | 0.243501i | ||||
\(552\) | −4.38208 | − | 1.94870i | −0.186514 | − | 0.0829420i | ||||
\(553\) | −12.1049 | − | 4.62968i | −0.514751 | − | 0.196874i | ||||
\(554\) | −20.7981 | − | 13.3661i | −0.883625 | − | 0.567871i | ||||
\(555\) | −8.37559 | + | 6.58664i | −0.355524 | + | 0.279587i | ||||
\(556\) | 17.0699 | + | 1.62998i | 0.723927 | + | 0.0691266i | ||||
\(557\) | 12.1640 | − | 11.5983i | 0.515403 | − | 0.491436i | −0.387149 | − | 0.922017i | \(-0.626540\pi\) |
0.902552 | + | 0.430581i | \(0.141691\pi\) | |||||||
\(558\) | −6.09130 | + | 0.581649i | −0.257865 | + | 0.0246232i | ||||
\(559\) | 20.5424 | − | 23.7072i | 0.868851 | − | 1.00271i | ||||
\(560\) | 6.53325 | − | 0.101276i | 0.276080 | − | 0.00427968i | ||||
\(561\) | 6.53228 | − | 1.91805i | 0.275793 | − | 0.0809802i | ||||
\(562\) | −4.98136 | + | 14.3927i | −0.210126 | + | 0.607120i | ||||
\(563\) | 1.50760 | + | 31.6485i | 0.0635379 | + | 1.33382i | 0.775384 | + | 0.631490i | \(0.217556\pi\) |
−0.711846 | + | 0.702335i | \(0.752141\pi\) | |||||||
\(564\) | 0.375071 | + | 7.87371i | 0.0157933 | + | 0.331543i | ||||
\(565\) | −5.58069 | + | 16.1244i | −0.234782 | + | 0.678357i | ||||
\(566\) | −20.4679 | + | 6.00990i | −0.860328 | + | 0.252615i | ||||
\(567\) | −2.64543 | + | 0.0410084i | −0.111098 | + | 0.00172219i | ||||
\(568\) | 3.22284 | − | 3.71936i | 0.135228 | − | 0.156061i | ||||
\(569\) | 28.5305 | − | 2.72434i | 1.19606 | − | 0.114210i | 0.522040 | − | 0.852921i | \(-0.325171\pi\) |
0.674022 | + | 0.738711i | \(0.264565\pi\) | |||||||
\(570\) | −6.53944 | + | 6.23535i | −0.273907 | + | 0.261170i | ||||
\(571\) | 9.60805 | + | 0.917458i | 0.402085 | + | 0.0383944i | 0.294140 | − | 0.955762i | \(-0.404967\pi\) |
0.107945 | + | 0.994157i | \(0.465573\pi\) | |||||||
\(572\) | −11.3390 | + | 8.91710i | −0.474108 | + | 0.372843i | ||||
\(573\) | −15.7639 | − | 10.1308i | −0.658546 | − | 0.423222i | ||||
\(574\) | −8.97309 | − | 3.43189i | −0.374530 | − | 0.143244i | ||||
\(575\) | −2.89378 | − | 4.40567i | −0.120679 | − | 0.183729i | ||||
\(576\) | −0.500000 | − | 0.866025i | −0.0208333 | − | 0.0360844i | ||||
\(577\) | −6.02355 | + | 3.10536i | −0.250764 | + | 0.129278i | −0.579026 | − | 0.815309i | \(-0.696567\pi\) |
0.328263 | + | 0.944586i | \(0.393537\pi\) | |||||||
\(578\) | 10.0951 | + | 4.04148i | 0.419902 | + | 0.168104i | ||||
\(579\) | 5.20593 | − | 7.31071i | 0.216351 | − | 0.303823i | ||||
\(580\) | 4.27456 | + | 1.25512i | 0.177491 | + | 0.0521162i | ||||
\(581\) | −1.80249 | − | 6.95746i | −0.0747799 | − | 0.288644i | ||||
\(582\) | −5.06799 | + | 5.84878i | −0.210075 | + | 0.242440i | ||||
\(583\) | −26.9241 | + | 10.7788i | −1.11508 | + | 0.446412i | ||||
\(584\) | 2.99346 | − | 12.3392i | 0.123870 | − | 0.510600i | ||||
\(585\) | −12.7174 | + | 2.45108i | −0.525800 | + | 0.101340i | ||||
\(586\) | 1.73134 | + | 0.892568i | 0.0715210 | + | 0.0368716i | ||||
\(587\) | 15.4234 | − | 9.91199i | 0.636590 | − | 0.409112i | −0.182154 | − | 0.983270i | \(-0.558307\pi\) |
0.818744 | + | 0.574158i | \(0.194671\pi\) | |||||||
\(588\) | −6.00325 | − | 3.60014i | −0.247570 | − | 0.148467i | ||||
\(589\) | 21.4809 | − | 6.30736i | 0.885105 | − | 0.259890i | ||||
\(590\) | −4.70420 | + | 1.88328i | −0.193669 | + | 0.0775333i | ||||
\(591\) | 8.14477 | + | 23.5328i | 0.335031 | + | 0.968009i | ||||
\(592\) | 2.50266 | + | 3.51449i | 0.102859 | + | 0.144445i | ||||
\(593\) | 6.40780 | + | 26.4133i | 0.263137 | + | 1.08466i | 0.937976 | + | 0.346700i | \(0.112698\pi\) |
−0.674839 | + | 0.737965i | \(0.735787\pi\) | |||||||
\(594\) | 1.14267 | + | 2.50209i | 0.0468842 | + | 0.102662i | ||||
\(595\) | 11.8759 | + | 10.9773i | 0.486864 | + | 0.450025i | ||||
\(596\) | −4.26055 | − | 2.73809i | −0.174519 | − | 0.112156i | ||||
\(597\) | 4.03695 | + | 6.99220i | 0.165221 | + | 0.286172i | ||||
\(598\) | 17.5365 | + | 18.0286i | 0.717120 | + | 0.737244i | ||||
\(599\) | 15.6609 | − | 27.1255i | 0.639887 | − | 1.10832i | −0.345571 | − | 0.938393i | \(-0.612315\pi\) |
0.985457 | − | 0.169923i | \(-0.0543521\pi\) | |||||||
\(600\) | 0.0522968 | − | 1.09784i | 0.00213501 | − | 0.0448193i | ||||
\(601\) | −6.67771 | − | 46.4445i | −0.272390 | − | 1.89451i | −0.423342 | − | 0.905970i | \(-0.639143\pi\) |
0.150952 | − | 0.988541i | \(-0.451766\pi\) | |||||||
\(602\) | −0.997949 | − | 15.7943i | −0.0406733 | − | 0.643727i | ||||
\(603\) | 10.0239 | + | 2.94329i | 0.408205 | + | 0.119860i | ||||
\(604\) | −7.98751 | + | 0.762715i | −0.325007 | + | 0.0310344i | ||||
\(605\) | −2.77366 | − | 8.01396i | −0.112765 | − | 0.325814i | ||||
\(606\) | −2.58826 | − | 2.03543i | −0.105141 | − | 0.0826837i | ||||
\(607\) | 29.5667 | + | 28.1918i | 1.20007 | + | 1.14427i | 0.985876 | + | 0.167478i | \(0.0535624\pi\) |
0.214198 | + | 0.976790i | \(0.431286\pi\) | |||||||
\(608\) | 2.39595 | + | 2.76508i | 0.0971687 | + | 0.112139i | ||||
\(609\) | −3.18100 | − | 3.55810i | −0.128901 | − | 0.144182i | ||||
\(610\) | 14.7105 | − | 9.45385i | 0.595610 | − | 0.382775i | ||||
\(611\) | 13.5206 | − | 39.0652i | 0.546985 | − | 1.58041i | ||||
\(612\) | 0.583518 | − | 2.40529i | 0.0235873 | − | 0.0972282i | ||||
\(613\) | 8.07511 | + | 6.35034i | 0.326151 | + | 0.256488i | 0.767785 | − | 0.640707i | \(-0.221359\pi\) |
−0.441635 | + | 0.897195i | \(0.645601\pi\) | |||||||
\(614\) | −32.3529 | − | 6.23552i | −1.30566 | − | 0.251645i | ||||
\(615\) | −3.72523 | + | 8.15711i | −0.150216 | + | 0.328927i | ||||
\(616\) | −0.923929 | + | 7.21868i | −0.0372262 | + | 0.290849i | ||||
\(617\) | 9.34901 | + | 20.4715i | 0.376377 | + | 0.824151i | 0.999129 | + | 0.0417315i | \(0.0132874\pi\) |
−0.622752 | + | 0.782420i | \(0.713985\pi\) | |||||||
\(618\) | −2.24662 | + | 1.76677i | −0.0903725 | + | 0.0710697i | ||||
\(619\) | −4.53646 | + | 2.33871i | −0.182336 | + | 0.0940006i | −0.546978 | − | 0.837147i | \(-0.684222\pi\) |
0.364642 | + | 0.931148i | \(0.381191\pi\) | |||||||
\(620\) | −7.55586 | + | 13.0871i | −0.303451 | + | 0.525592i | ||||
\(621\) | 4.12921 | − | 2.43918i | 0.165700 | − | 0.0978809i | ||||
\(622\) | 20.0999 | 0.805933 | ||||||||
\(623\) | −18.7874 | − | 25.5360i | −0.752699 | − | 1.02308i | ||||
\(624\) | 0.746339 | + | 5.19090i | 0.0298775 | + | 0.207802i | ||||
\(625\) | −16.9884 | + | 23.8569i | −0.679535 | + | 0.954274i | ||||
\(626\) | 17.5353 | − | 16.7199i | 0.700851 | − | 0.668261i | ||||
\(627\) | −5.83764 | − | 8.19781i | −0.233133 | − | 0.327389i | ||||
\(628\) | −14.3469 | − | 2.76514i | −0.572504 | − | 0.110341i | ||||
\(629\) | −1.51973 | + | 10.5700i | −0.0605957 | + | 0.421453i | ||||
\(630\) | −3.70716 | + | 5.38057i | −0.147697 | + | 0.214367i | ||||
\(631\) | 1.51636 | + | 1.74997i | 0.0603653 | + | 0.0696653i | 0.785129 | − | 0.619332i | \(-0.212597\pi\) |
−0.724764 | + | 0.688997i | \(0.758051\pi\) | |||||||
\(632\) | 4.35389 | + | 2.24459i | 0.173188 | + | 0.0892848i | ||||
\(633\) | 1.14761 | + | 24.0913i | 0.0456134 | + | 0.957543i | ||||
\(634\) | −2.74036 | + | 0.528161i | −0.108834 | + | 0.0209760i | ||||
\(635\) | −35.9389 | − | 34.2677i | −1.42619 | − | 1.35987i | ||||
\(636\) | −1.50049 | + | 10.4362i | −0.0594984 | + | 0.413821i | ||||
\(637\) | 22.2105 | + | 29.2287i | 0.880013 | + | 1.15808i | ||||
\(638\) | −2.06128 | + | 4.51357i | −0.0816068 | + | 0.178694i | ||||
\(639\) | 1.16027 | + | 4.78269i | 0.0458995 | + | 0.189200i | ||||
\(640\) | −2.45845 | − | 0.234754i | −0.0971788 | − | 0.00927945i | ||||
\(641\) | 37.6436 | + | 15.0702i | 1.48683 | + | 0.595238i | 0.966028 | − | 0.258437i | \(-0.0832075\pi\) |
0.520805 | + | 0.853676i | \(0.325632\pi\) | |||||||
\(642\) | −0.511132 | + | 10.7300i | −0.0201728 | + | 0.423479i | ||||
\(643\) | 28.5772 | 1.12697 | 0.563487 | − | 0.826125i | \(-0.309460\pi\) | ||||
0.563487 | + | 0.826125i | \(0.309460\pi\) | |||||||
\(644\) | 12.6855 | + | 0.280847i | 0.499878 | + | 0.0110669i | ||||
\(645\) | −14.7723 | −0.581660 | ||||||||
\(646\) | −0.430881 | + | 9.04530i | −0.0169528 | + | 0.355883i | ||||
\(647\) | −13.1441 | − | 5.26209i | −0.516747 | − | 0.206874i | 0.0986052 | − | 0.995127i | \(-0.468562\pi\) |
−0.615352 | + | 0.788252i | \(0.710986\pi\) | |||||||
\(648\) | 0.995472 | + | 0.0950560i | 0.0391058 | + | 0.00373415i | ||||
\(649\) | −1.33057 | − | 5.48470i | −0.0522296 | − | 0.215293i | ||||
\(650\) | −2.39442 | + | 5.24306i | −0.0939171 | + | 0.205650i | ||||
\(651\) | 14.2730 | − | 7.64055i | 0.559402 | − | 0.299457i | ||||
\(652\) | −0.481179 | + | 3.34667i | −0.0188444 | + | 0.131066i | ||||
\(653\) | −0.0327670 | − | 0.0312433i | −0.00128227 | − | 0.00122264i | 0.689438 | − | 0.724345i | \(-0.257858\pi\) |
−0.690720 | + | 0.723122i | \(0.742706\pi\) | |||||||
\(654\) | −10.3286 | + | 1.99067i | −0.403879 | + | 0.0778412i | ||||
\(655\) | −0.840057 | − | 17.6350i | −0.0328237 | − | 0.689055i | ||||
\(656\) | 3.22745 | + | 1.66387i | 0.126011 | + | 0.0649631i | ||||
\(657\) | 8.31485 | + | 9.59584i | 0.324393 | + | 0.374370i | ||||
\(658\) | −8.95669 | − | 18.8343i | −0.349168 | − | 0.734236i | ||||
\(659\) | 2.60305 | − | 18.1046i | 0.101401 | − | 0.705256i | −0.874178 | − | 0.485606i | \(-0.838599\pi\) |
0.975579 | − | 0.219651i | \(-0.0704918\pi\) | |||||||
\(660\) | 6.67037 | + | 1.28561i | 0.259644 | + | 0.0500422i | ||||
\(661\) | −11.1460 | − | 15.6524i | −0.433531 | − | 0.608809i | 0.538795 | − | 0.842437i | \(-0.318880\pi\) |
−0.972326 | + | 0.233628i | \(0.924940\pi\) | |||||||
\(662\) | 18.1328 | − | 17.2896i | 0.704751 | − | 0.671978i | ||||
\(663\) | −7.52909 | + | 10.5731i | −0.292406 | + | 0.410626i | ||||
\(664\) | 0.386597 | + | 2.68884i | 0.0150029 | + | 0.104347i | ||||
\(665\) | 9.59275 | − | 21.8972i | 0.371991 | − | 0.849136i | ||||
\(666\) | −4.31451 | −0.167184 | ||||||||
\(667\) | 8.20327 | + | 2.74796i | 0.317632 | + | 0.106401i | ||||
\(668\) | −2.76171 | + | 4.78342i | −0.106854 | + | 0.185076i | ||||
\(669\) | −0.336503 | + | 0.173479i | −0.0130100 | + | 0.00670710i | ||||
\(670\) | 20.2806 | − | 15.9488i | 0.783506 | − | 0.616156i | ||||
\(671\) | 8.09071 | + | 17.7162i | 0.312339 | + | 0.683926i | ||||
\(672\) | 2.10480 | + | 1.60306i | 0.0811945 | + | 0.0618395i | ||||
\(673\) | 3.65053 | − | 7.99355i | 0.140718 | − | 0.308129i | −0.826131 | − | 0.563478i | \(-0.809463\pi\) |
0.966849 | + | 0.255349i | \(0.0821903\pi\) | |||||||
\(674\) | 25.5352 | + | 4.92151i | 0.983579 | + | 0.189569i | ||||
\(675\) | 0.863942 | + | 0.679412i | 0.0332532 | + | 0.0261506i | ||||
\(676\) | 3.41909 | − | 14.0937i | 0.131504 | − | 0.542065i | ||||
\(677\) | 15.6011 | − | 45.0763i | 0.599597 | − | 1.73242i | −0.0779642 | − | 0.996956i | \(-0.524842\pi\) |
0.677561 | − | 0.735466i | \(-0.263037\pi\) | |||||||
\(678\) | −5.81225 | + | 3.73531i | −0.223218 | + | 0.143454i | ||||
\(679\) | 6.39619 | − | 19.4509i | 0.245463 | − | 0.746458i | ||||
\(680\) | −4.00283 | − | 4.61951i | −0.153502 | − | 0.177150i | ||||
\(681\) | 7.95296 | + | 7.58313i | 0.304758 | + | 0.290586i | ||||
\(682\) | −13.2303 | − | 10.4044i | −0.506615 | − | 0.398407i | ||||
\(683\) | 13.0118 | + | 37.5952i | 0.497884 | + | 1.43854i | 0.861867 | + | 0.507135i | \(0.169295\pi\) |
−0.363983 | + | 0.931406i | \(0.618583\pi\) | |||||||
\(684\) | −3.64215 | + | 0.347783i | −0.139261 | + | 0.0132978i | ||||
\(685\) | 48.1479 | + | 14.1375i | 1.83964 | + | 0.540166i | ||||
\(686\) | 18.3288 | + | 2.65585i | 0.699798 | + | 0.101401i | ||||
\(687\) | −0.440832 | − | 3.06605i | −0.0168188 | − | 0.116977i | ||||
\(688\) | −0.284615 | + | 5.97481i | −0.0108509 | + | 0.227788i | ||||
\(689\) | 27.6465 | − | 47.8851i | 1.05325 | − | 1.82428i | ||||
\(690\) | 1.00831 | − | 11.8009i | 0.0383856 | − | 0.449254i | ||||
\(691\) | 15.5967 | + | 27.0143i | 0.593326 | + | 1.02767i | 0.993781 | + | 0.111354i | \(0.0355189\pi\) |
−0.400455 | + | 0.916317i | \(0.631148\pi\) | |||||||
\(692\) | −18.5506 | − | 11.9217i | −0.705186 | − | 0.453196i | ||||
\(693\) | −5.34423 | − | 4.93986i | −0.203011 | − | 0.187650i | ||||
\(694\) | 0.758324 | + | 1.66050i | 0.0287856 | + | 0.0630316i | ||||
\(695\) | 9.98398 | + | 41.1545i | 0.378714 | + | 1.56108i | ||||
\(696\) | 1.04638 | + | 1.46943i | 0.0396628 | + | 0.0556986i | ||||
\(697\) | 2.93942 | + | 8.49291i | 0.111339 | + | 0.321692i | ||||
\(698\) | 2.16809 | − | 0.867971i | 0.0820633 | − | 0.0328532i | ||||
\(699\) | 29.0243 | − | 8.52232i | 1.09780 | − | 0.322344i | ||||
\(700\) | 0.993565 | + | 2.73291i | 0.0375532 | + | 0.103294i | ||||
\(701\) | 10.7028 | − | 6.87826i | 0.404238 | − | 0.259788i | −0.322686 | − | 0.946506i | \(-0.604586\pi\) |
0.726924 | + | 0.686718i | \(0.240949\pi\) | |||||||
\(702\) | −4.66130 | − | 2.40307i | −0.175930 | − | 0.0906980i | ||||
\(703\) | 15.5003 | − | 2.98744i | 0.584605 | − | 0.112673i | ||||
\(704\) | 0.648493 | − | 2.67313i | 0.0244410 | − | 0.100747i | ||||
\(705\) | −18.0728 | + | 7.23524i | −0.680659 | + | 0.272495i | ||||
\(706\) | 8.69502 | − | 10.0346i | 0.327242 | − | 0.377657i | ||||
\(707\) | 8.39590 | + | 2.32453i | 0.315760 | + | 0.0874228i | ||||
\(708\) | −1.96868 | − | 0.578057i | −0.0739875 | − | 0.0217247i | ||||
\(709\) | −11.8752 | + | 16.6764i | −0.445983 | + | 0.626296i | −0.974971 | − | 0.222334i | \(-0.928633\pi\) |
0.528987 | + | 0.848630i | \(0.322572\pi\) | |||||||
\(710\) | 11.2835 | + | 4.51722i | 0.423461 | + | 0.169528i | ||||
\(711\) | −4.35389 | + | 2.24459i | −0.163284 | + | 0.0841786i | ||||
\(712\) | 5.99122 | + | 10.3771i | 0.224531 | + | 0.388898i | ||||
\(713\) | −15.6187 | + | 24.8441i | −0.584927 | + | 0.930418i | ||||
\(714\) | 1.03229 | + | 6.46652i | 0.0386324 | + | 0.242003i | ||||
\(715\) | −29.9697 | − | 19.2604i | −1.12080 | − | 0.720297i | ||||
\(716\) | −1.41429 | + | 1.11221i | −0.0528546 | + | 0.0415653i | ||||
\(717\) | 5.94003 | + | 0.567204i | 0.221834 | + | 0.0211826i | ||||
\(718\) | 17.8457 | − | 17.0158i | 0.665996 | − | 0.635026i | ||||
\(719\) | −40.0275 | + | 3.82217i | −1.49278 | + | 0.142543i | −0.809285 | − | 0.587417i | \(-0.800145\pi\) |
−0.683490 | + | 0.729959i | \(0.739539\pi\) | |||||||
\(720\) | 1.61727 | − | 1.86642i | 0.0602719 | − | 0.0695575i | ||||
\(721\) | 3.67896 | − | 6.60656i | 0.137012 | − | 0.246041i | ||||
\(722\) | −5.38637 | + | 1.58158i | −0.200460 | + | 0.0588603i | ||||
\(723\) | 3.81571 | − | 11.0248i | 0.141908 | − | 0.410015i | ||||
\(724\) | 0.148753 | + | 3.12271i | 0.00552836 | + | 0.116054i | ||||
\(725\) | 0.0943391 | + | 1.98042i | 0.00350367 | + | 0.0735510i | ||||
\(726\) | 1.12310 | − | 3.24500i | 0.0416823 | − | 0.120433i | ||||
\(727\) | −14.0570 | + | 4.12750i | −0.521344 | + | 0.153080i | −0.531808 | − | 0.846865i | \(-0.678487\pi\) |
0.0104641 | + | 0.999945i | \(0.496669\pi\) | |||||||
\(728\) | −7.12295 | − | 11.9072i | −0.263994 | − | 0.441310i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 31.2152 | − | 2.98069i | 1.15533 | − | 0.110320i | ||||
\(731\) | −10.7147 | + | 10.2165i | −0.396299 | + | 0.377870i | ||||
\(732\) | 7.04850 | + | 0.673050i | 0.260520 | + | 0.0248766i | ||||
\(733\) | 27.6246 | − | 21.7242i | 1.02034 | − | 0.802403i | 0.0398946 | − | 0.999204i | \(-0.487298\pi\) |
0.980443 | + | 0.196801i | \(0.0630554\pi\) | |||||||
\(734\) | −20.4138 | − | 13.1191i | −0.753486 | − | 0.484236i | ||||
\(735\) | 3.55298 | − | 16.9184i | 0.131054 | − | 0.624044i | ||||
\(736\) | −4.75358 | − | 0.635186i | −0.175219 | − | 0.0234133i | ||||
\(737\) | 14.3682 | + | 24.8865i | 0.529260 | + | 0.916705i | ||||
\(738\) | −3.22745 | + | 1.66387i | −0.118804 | + | 0.0612478i | ||||
\(739\) | 22.1882 | + | 8.88282i | 0.816206 | + | 0.326760i | 0.741929 | − | 0.670478i | \(-0.233911\pi\) |
0.0742769 | + | 0.997238i | \(0.476335\pi\) | |||||||
\(740\) | −6.18065 | + | 8.67951i | −0.227205 | + | 0.319065i | ||||
\(741\) | 18.4101 | + | 5.40571i | 0.676313 | + | 0.198584i | ||||
\(742\) | −6.99599 | − | 27.0039i | −0.256831 | − | 0.991344i | ||||
\(743\) | 7.86058 | − | 9.07159i | 0.288377 | − | 0.332804i | −0.593014 | − | 0.805192i | \(-0.702062\pi\) |
0.881391 | + | 0.472388i | \(0.156608\pi\) | |||||||
\(744\) | −5.68069 | + | 2.27421i | −0.208264 | + | 0.0833765i | ||||
\(745\) | 2.94876 | − | 12.1549i | 0.108034 | − | 0.445323i | ||||
\(746\) | −29.4979 | + | 5.68525i | −1.07999 | + | 0.208152i | ||||
\(747\) | −2.41451 | − | 1.24477i | −0.0883423 | − | 0.0455436i | ||||
\(748\) | 5.72730 | − | 3.68071i | 0.209411 | − | 0.134580i | ||||
\(749\) | −9.71079 | − | 26.7106i | −0.354825 | − | 0.975985i | ||||
\(750\) | −9.24358 | + | 2.71416i | −0.337528 | + | 0.0991071i | ||||
\(751\) | −7.27421 | + | 2.91216i | −0.265440 | + | 0.106266i | −0.500565 | − | 0.865699i | \(-0.666874\pi\) |
0.235125 | + | 0.971965i | \(0.424450\pi\) | |||||||
\(752\) | 2.57816 | + | 7.44910i | 0.0940158 | + | 0.271641i | ||||
\(753\) | −14.9638 | − | 21.0137i | −0.545310 | − | 0.765780i | ||||
\(754\) | −2.23034 | − | 9.19359i | −0.0812242 | − | 0.334811i | ||||
\(755\) | −8.23184 | − | 18.0252i | −0.299587 | − | 0.656005i | ||||
\(756\) | −2.52672 | + | 0.784652i | −0.0918960 | + | 0.0285375i | ||||
\(757\) | −26.9923 | − | 17.3469i | −0.981053 | − | 0.630485i | −0.0513058 | − | 0.998683i | \(-0.516338\pi\) |
−0.929747 | + | 0.368198i | \(0.879975\pi\) | |||||||
\(758\) | 2.04985 | + | 3.55044i | 0.0744539 | + | 0.128958i | ||||
\(759\) | 12.8502 | + | 2.98218i | 0.466433 | + | 0.108246i | ||||
\(760\) | −4.51785 | + | 7.82514i | −0.163880 | + | 0.283848i | ||||
\(761\) | 0.123156 | − | 2.58537i | 0.00446442 | − | 0.0937197i | −0.995535 | − | 0.0943894i | \(-0.969910\pi\) |
1.00000 | 0.000669696i | \(0.000213171\pi\) | ||||||||
\(762\) | −2.86157 | − | 19.9026i | −0.103664 | − | 0.720996i | ||||
\(763\) | 23.1758 | − | 15.4070i | 0.839021 | − | 0.557769i | ||||
\(764\) | −17.9795 | − | 5.27927i | −0.650477 | − | 0.190997i | ||||
\(765\) | 6.08482 | − | 0.581029i | 0.219997 | − | 0.0210072i | ||||
\(766\) | 6.20298 | + | 17.9223i | 0.224123 | + | 0.647560i | ||||
\(767\) | 8.45807 | + | 6.65150i | 0.305403 | + | 0.240172i | ||||
\(768\) | −0.723734 | − | 0.690079i | −0.0261155 | − | 0.0249011i | ||||
\(769\) | 12.8326 | + | 14.8096i | 0.462756 | + | 0.534049i | 0.938383 | − | 0.345598i | \(-0.112324\pi\) |
−0.475626 | + | 0.879648i | \(0.657778\pi\) | |||||||
\(770\) | −17.5933 | + | 3.67453i | −0.634018 | + | 0.132421i | ||||
\(771\) | −2.63848 | + | 1.69565i | −0.0950226 | + | 0.0610673i | ||||
\(772\) | 2.93539 | − | 8.48125i | 0.105647 | − | 0.305247i | ||||
\(773\) | 5.58287 | − | 23.0129i | 0.200802 | − | 0.827716i | −0.778882 | − | 0.627170i | \(-0.784213\pi\) |
0.979684 | − | 0.200546i | \(-0.0642717\pi\) | |||||||
\(774\) | −4.70184 | − | 3.69757i | −0.169004 | − | 0.132906i | ||||
\(775\) | −6.60380 | − | 1.27278i | −0.237216 | − | 0.0457196i | ||||
\(776\) | −3.21491 | + | 7.03968i | −0.115409 | + | 0.252710i | ||||
\(777\) | 10.5304 | − | 4.40632i | 0.377776 | − | 0.158076i | ||||
\(778\) | −1.73463 | − | 3.79830i | −0.0621894 | − | 0.136176i | ||||
\(779\) | 10.4429 | − | 8.21235i | 0.374154 | − | 0.294238i | ||||
\(780\) | −11.5117 | + | 5.93470i | −0.412185 | + | 0.212496i | ||||
\(781\) | −6.76858 | + | 11.7235i | −0.242199 | + | 0.419501i | ||||
\(782\) | −7.43013 | − | 9.25686i | −0.265701 | − | 0.331025i | ||||
\(783\) | −1.80392 | −0.0644668 | ||||||||
\(784\) | −6.77435 | − | 1.76300i | −0.241941 | − | 0.0629642i | ||||
\(785\) | −5.13525 | − | 35.7164i | −0.183285 | − | 1.27477i | ||||
\(786\) | 4.14672 | − | 5.82326i | 0.147909 | − | 0.207709i | ||||
\(787\) | −32.3616 | + | 30.8567i | −1.15357 | + | 1.09992i | −0.159947 | + | 0.987126i | \(0.551132\pi\) |
−0.993618 | + | 0.112797i | \(0.964019\pi\) | |||||||
\(788\) | 14.4448 | + | 20.2849i | 0.514574 | + | 0.722619i | ||||
\(789\) | 0.240617 | + | 0.0463751i | 0.00856619 | + | 0.00165100i | ||||
\(790\) | −1.72163 | + | 11.9742i | −0.0612527 | + | 0.426022i | ||||
\(791\) | 10.3711 | − | 15.0527i | 0.368755 | − | 0.535212i | ||||
\(792\) | 1.80130 | + | 2.07881i | 0.0640064 | + | 0.0738674i | ||||
\(793\) | −33.0046 | − | 17.0151i | −1.17203 | − | 0.604223i | ||||
\(794\) | −0.211983 | − | 4.45007i | −0.00752299 | − | 0.157927i | ||||
\(795\) | −25.5680 | + | 4.92782i | −0.906803 | + | 0.174772i | ||||
\(796\) | 5.84335 | + | 5.57163i | 0.207112 | + | 0.197481i | ||||
\(797\) | 2.81376 | − | 19.5701i | 0.0996683 | − | 0.693208i | −0.877318 | − | 0.479909i | \(-0.840670\pi\) |
0.976987 | − | 0.213300i | \(-0.0684211\pi\) | |||||||
\(798\) | 8.53420 | − | 4.56849i | 0.302107 | − | 0.161723i | ||||
\(799\) | −8.10475 | + | 17.7469i | −0.286726 | + | 0.627841i | ||||
\(800\) | −0.259120 | − | 1.06811i | −0.00916128 | − | 0.0377633i | ||||
\(801\) | −11.9282 | − | 1.13900i | −0.421462 | − | 0.0402447i | ||||
\(802\) | −8.65155 | − | 3.46356i | −0.305497 | − | 0.122302i | ||||
\(803\) | −1.66182 | + | 34.8859i | −0.0586444 | + | 1.23110i | ||||
\(804\) | 10.4471 | 0.368441 | ||||||||
\(805\) | 9.59109 | + | 29.8323i | 0.338042 | + | 1.05145i | ||||
\(806\) | 32.0898 | 1.13032 | ||||||||
\(807\) | −0.319341 | + | 6.70379i | −0.0112413 | + | 0.235985i | ||||
\(808\) | −3.05686 | − | 1.22378i | −0.107540 | − | 0.0430526i | ||||
\(809\) | −31.7661 | − | 3.03329i | −1.11683 | − | 0.106645i | −0.479726 | − | 0.877418i | \(-0.659264\pi\) |
−0.637109 | + | 0.770774i | \(0.719870\pi\) | |||||||
\(810\) | 0.582238 | + | 2.40002i | 0.0204578 | + | 0.0843280i | ||||
\(811\) | 20.8851 | − | 45.7319i | 0.733374 | − | 1.60586i | −0.0607825 | − | 0.998151i | \(-0.519360\pi\) |
0.794156 | − | 0.607714i | \(-0.207913\pi\) | |||||||
\(812\) | −4.05458 | − | 2.51779i | −0.142288 | − | 0.0883570i | ||||
\(813\) | −2.40030 | + | 16.6945i | −0.0841824 | + | 0.585501i | ||||
\(814\) | −8.58910 | − | 8.18969i | −0.301048 | − | 0.287048i | ||||
\(815\) | −8.19915 | + | 1.58026i | −0.287204 | + | 0.0553540i | ||||
\(816\) | −0.117768 | − | 2.47226i | −0.00412271 | − | 0.0865463i | ||||
\(817\) | 19.4521 | + | 10.0283i | 0.680544 | + | 0.350845i | ||||
\(818\) | 3.77885 | + | 4.36103i | 0.132124 | + | 0.152480i | ||||
\(819\) | 13.8310 | + | 1.10466i | 0.483295 | + | 0.0386001i | ||||
\(820\) | −1.27621 | + | 8.87621i | −0.0445671 | + | 0.309971i | ||||
\(821\) | −15.2991 | − | 2.94867i | −0.533943 | − | 0.102909i | −0.0848495 | − | 0.996394i | \(-0.527041\pi\) |
−0.449094 | + | 0.893485i | \(0.648253\pi\) | |||||||
\(822\) | 11.7862 | + | 16.5514i | 0.411091 | + | 0.577296i | ||||
\(823\) | 2.47422 | − | 2.35917i | 0.0862460 | − | 0.0822354i | −0.645730 | − | 0.763566i | \(-0.723447\pi\) |
0.731976 | + | 0.681330i | \(0.238598\pi\) | |||||||
\(824\) | −1.65787 | + | 2.32815i | −0.0577545 | + | 0.0811048i | ||||
\(825\) | 0.430249 | + | 2.99245i | 0.0149794 | + | 0.104184i | ||||
\(826\) | 5.39530 | − | 0.599713i | 0.187727 | − | 0.0208667i | ||||
\(827\) | 10.7682 | 0.374447 | 0.187223 | − | 0.982317i | \(-0.440051\pi\) | ||||
0.187223 | + | 0.982317i | \(0.440051\pi\) | |||||||
\(828\) | 3.27476 | − | 3.50371i | 0.113806 | − | 0.121762i | ||||
\(829\) | 27.4870 | − | 47.6088i | 0.954661 | − | 1.65352i | 0.219520 | − | 0.975608i | \(-0.429551\pi\) |
0.735141 | − | 0.677914i | \(-0.237116\pi\) | |||||||
\(830\) | −5.96296 | + | 3.07412i | −0.206977 | + | 0.106704i | ||||
\(831\) | 19.4334 | − | 15.2826i | 0.674135 | − | 0.530146i | ||||
\(832\) | 2.17855 | + | 4.77037i | 0.0755278 | + | 0.165383i | ||||
\(833\) | −9.12362 | − | 14.7285i | −0.316115 | − | 0.510314i | ||||
\(834\) | −7.12337 | + | 15.5980i | −0.246662 | + | 0.540114i | ||||
\(835\) | −13.3943 | − | 2.58154i | −0.463529 | − | 0.0893379i | ||||
\(836\) | −7.91076 | − | 6.22109i | −0.273599 | − | 0.215161i | ||||
\(837\) | 1.44261 | − | 5.94653i | 0.0498640 | − | 0.205542i | ||||
\(838\) | −2.77013 | + | 8.00376i | −0.0956925 | + | 0.276485i | ||||
\(839\) | −19.2407 | + | 12.3652i | −0.664263 | + | 0.426896i | −0.828853 | − | 0.559466i | \(-0.811006\pi\) |
0.164590 | + | 0.986362i | \(0.447370\pi\) | |||||||
\(840\) | −2.04111 | + | 6.20705i | −0.0704250 | + | 0.214164i | ||||
\(841\) | 16.8600 | + | 19.4574i | 0.581378 | + | 0.670946i | ||||
\(842\) | 26.2877 | + | 25.0653i | 0.905934 | + | 0.863806i | ||||
\(843\) | −11.9719 | − | 9.41479i | −0.412333 | − | 0.324263i | ||||
\(844\) | 7.88842 | + | 22.7921i | 0.271531 | + | 0.784537i | ||||
\(845\) | 35.6537 | − | 3.40451i | 1.22652 | − | 0.117119i | ||||
\(846\) | −7.56334 | − | 2.22080i | −0.260033 | − | 0.0763525i | ||||
\(847\) | 0.572894 | + | 9.06705i | 0.0196849 | + | 0.311548i | ||||
\(848\) | 1.50049 | + | 10.4362i | 0.0515272 | + | 0.358379i | ||||
\(849\) | 1.01501 | − | 21.3078i | 0.0348352 | − | 0.731281i | ||||
\(850\) | 1.36016 | − | 2.35586i | 0.0466530 | − | 0.0808053i | ||||
\(851\) | −12.6280 | + | 16.3914i | −0.432884 | + | 0.561889i | ||||
\(852\) | 2.46071 | + | 4.26207i | 0.0843025 | + | 0.146016i | ||||
\(853\) | −21.1493 | − | 13.5918i | −0.724137 | − | 0.465375i | 0.125936 | − | 0.992038i | \(-0.459806\pi\) |
−0.850074 | + | 0.526663i | \(0.823443\pi\) | |||||||
\(854\) | −17.8906 | + | 5.55577i | −0.612204 | + | 0.190115i | ||||
\(855\) | −3.75356 | − | 8.21916i | −0.128369 | − | 0.281089i | ||||
\(856\) | 2.53256 | + | 10.4393i | 0.0865610 | + | 0.356810i | ||||
\(857\) | −27.0002 | − | 37.9165i | −0.922311 | − | 1.29520i | −0.955266 | − | 0.295748i | \(-0.904431\pi\) |
0.0329552 | − | 0.999457i | \(-0.489508\pi\) | |||||||
\(858\) | −4.71804 | − | 13.6319i | −0.161071 | − | 0.465384i | ||||
\(859\) | −25.1556 | + | 10.0708i | −0.858297 | + | 0.343610i | −0.758718 | − | 0.651419i | \(-0.774174\pi\) |
−0.0995790 | + | 0.995030i | \(0.531750\pi\) | |||||||
\(860\) | −14.1739 | + | 4.16185i | −0.483327 | + | 0.141918i | ||||
\(861\) | 6.17795 | − | 7.35712i | 0.210544 | − | 0.250730i | ||||
\(862\) | −25.1308 | + | 16.1506i | −0.855957 | + | 0.550090i | ||||
\(863\) | −5.13527 | − | 2.64742i | −0.174807 | − | 0.0901191i | 0.368602 | − | 0.929587i | \(-0.379836\pi\) |
−0.543409 | + | 0.839468i | \(0.682867\pi\) | |||||||
\(864\) | 0.981929 | − | 0.189251i | 0.0334059 | − | 0.00643846i | ||||
\(865\) | 12.8390 | − | 52.9230i | 0.436539 | − | 1.79944i | ||||
\(866\) | −9.35469 | + | 3.74505i | −0.317885 | + | 0.127262i | ||||
\(867\) | −7.12100 | + | 8.21808i | −0.241842 | + | 0.279100i | ||||
\(868\) | 11.5422 | − | 11.3522i | 0.391769 | − | 0.385319i | ||||
\(869\) | −12.9281 | − | 3.79604i | −0.438556 | − | 0.128772i | ||||
\(870\) | −2.58416 | + | 3.62895i | −0.0876114 | + | 0.123033i | ||||
\(871\) | −50.8630 | − | 20.3625i | −1.72343 | − | 0.689956i | ||||
\(872\) | −9.34935 | + | 4.81992i | −0.316609 | + | 0.163223i | ||||
\(873\) | −3.86952 | − | 6.70221i | −0.130963 | − | 0.226835i | ||||
\(874\) | −9.33886 | + | 14.8549i | −0.315892 | + | 0.502476i | ||||
\(875\) | 19.7888 | − | 16.0647i | 0.668985 | − | 0.543086i | ||||
\(876\) | 10.6815 | + | 6.86458i | 0.360894 | + | 0.231933i | ||||
\(877\) | 20.8984 | − | 16.4347i | 0.705688 | − | 0.554959i | −0.199538 | − | 0.979890i | \(-0.563944\pi\) |
0.905226 | + | 0.424931i | \(0.139702\pi\) | |||||||
\(878\) | −2.25432 | − | 0.215261i | −0.0760794 | − | 0.00726471i | ||||
\(879\) | −1.40974 | + | 1.34419i | −0.0475494 | + | 0.0453383i | ||||
\(880\) | 6.76237 | − | 0.645728i | 0.227959 | − | 0.0217675i | ||||
\(881\) | 25.6721 | − | 29.6271i | 0.864913 | − | 0.998163i | −0.135060 | − | 0.990837i | \(-0.543123\pi\) |
0.999973 | − | 0.00732578i | \(-0.00233189\pi\) | |||||||
\(882\) | 5.36561 | − | 4.49558i | 0.180669 | − | 0.151374i | ||||
\(883\) | −9.30701 | + | 2.73279i | −0.313206 | + | 0.0919656i | −0.434558 | − | 0.900644i | \(-0.643095\pi\) |
0.121352 | + | 0.992610i | \(0.461277\pi\) | |||||||
\(884\) | −4.24532 | + | 12.2660i | −0.142785 | + | 0.412551i | ||||
\(885\) | −0.241106 | − | 5.06143i | −0.00810468 | − | 0.170138i | ||||
\(886\) | −0.0764082 | − | 1.60401i | −0.00256698 | − | 0.0538876i | ||||
\(887\) | 8.07192 | − | 23.3223i | 0.271029 | − | 0.783086i | −0.724556 | − | 0.689216i | \(-0.757955\pi\) |
0.995584 | − | 0.0938697i | \(-0.0299237\pi\) | |||||||
\(888\) | −4.13974 | + | 1.21554i | −0.138921 | + | 0.0407908i | ||||
\(889\) | 27.3103 | + | 45.6538i | 0.915959 | + | 1.53118i | ||||
\(890\) | −19.3788 | + | 22.3643i | −0.649579 | + | 0.749654i | ||||
\(891\) | −2.73821 | + | 0.261467i | −0.0917334 | + | 0.00875948i | ||||
\(892\) | −0.273997 | + | 0.261256i | −0.00917411 | + | 0.00874750i | ||||
\(893\) | 28.7098 | + | 2.74145i | 0.960736 | + | 0.0917392i | ||||
\(894\) | 3.98098 | − | 3.13068i | 0.133144 | − | 0.104706i | ||||
\(895\) | −3.73807 | − | 2.40231i | −0.124950 | − | 0.0803003i | ||||
\(896\) | 2.47118 | + | 0.945137i | 0.0825562 | + | 0.0315748i | ||||
\(897\) | −22.7726 | + | 10.6754i | −0.760356 | + | 0.356442i | ||||
\(898\) | −8.62873 | − | 14.9454i | −0.287944 | − | 0.498734i | ||||
\(899\) | 9.81115 | − | 5.05800i | 0.327220 | − | 0.168694i | ||||
\(900\) | 1.02036 | + | 0.408490i | 0.0340120 | + | 0.0136163i | ||||
\(901\) | −15.1370 | + | 21.2570i | −0.504287 | + | 0.708172i | ||||
\(902\) | −9.58335 | − | 2.81393i | −0.319091 | − | 0.0936935i | ||||
\(903\) | 15.2520 | + | 4.22275i | 0.507555 | + | 0.140524i | ||||
\(904\) | −4.52446 | + | 5.22150i | −0.150481 | + | 0.173665i | ||||
\(905\) | −7.16764 | + | 2.86949i | −0.238260 | + | 0.0953850i | ||||
\(906\) | 1.89169 | − | 7.79766i | 0.0628473 | − | 0.259060i | ||||
\(907\) | −25.8324 | + | 4.97878i | −0.857750 | + | 0.165318i | −0.599121 | − | 0.800659i | \(-0.704483\pi\) |
−0.258630 | + | 0.965977i | \(0.583271\pi\) | |||||||
\(908\) | 9.76723 | + | 5.03536i | 0.324137 | + | 0.167104i | ||||
\(909\) | 2.77002 | − | 1.78018i | 0.0918758 | − | 0.0590450i | ||||
\(910\) | 22.0356 | − | 26.2415i | 0.730473 | − | 0.869896i | ||||
\(911\) | 45.0896 | − | 13.2395i | 1.49389 | − | 0.438645i | 0.570107 | − | 0.821570i | \(-0.306902\pi\) |
0.923779 | + | 0.382926i | \(0.125083\pi\) | |||||||
\(912\) | −3.39664 | + | 1.35981i | −0.112474 | + | 0.0450278i | ||||
\(913\) | −2.44390 | − | 7.06118i | −0.0808812 | − | 0.233691i | ||||
\(914\) | 14.0915 | + | 19.7888i | 0.466106 | + | 0.654555i | ||||
\(915\) | 4.12257 | + | 16.9935i | 0.136288 | + | 0.561787i | ||||
\(916\) | −1.28678 | − | 2.81766i | −0.0425165 | − | 0.0930981i | ||||
\(917\) | −4.17371 | + | 18.4478i | −0.137828 | + | 0.609198i | ||||
\(918\) | 2.08215 | + | 1.33812i | 0.0687213 | + | 0.0441645i | ||||
\(919\) | −7.98141 | − | 13.8242i | −0.263282 | − | 0.456019i | 0.703830 | − | 0.710369i | \(-0.251472\pi\) |
−0.967112 | + | 0.254350i | \(0.918138\pi\) | |||||||
\(920\) | −2.35725 | − | 11.6070i | −0.0777162 | − | 0.382671i | ||||
\(921\) | 16.4742 | − | 28.5341i | 0.542843 | − | 0.940231i | ||||
\(922\) | 1.68689 | − | 35.4122i | 0.0555548 | − | 1.16624i | ||||
\(923\) | −3.67305 | − | 25.5466i | −0.120900 | − | 0.840877i | ||||
\(924\) | −6.51947 | − | 3.23411i | −0.214475 | − | 0.106395i | ||||
\(925\) | −4.54994 | − | 1.33598i | −0.149601 | − | 0.0439269i | ||||
\(926\) | −15.8441 | + | 1.51293i | −0.520668 | + | 0.0497178i | ||||
\(927\) | −0.934796 | − | 2.70091i | −0.0307027 | − | 0.0887097i | ||||
\(928\) | 1.41798 | + | 1.11511i | 0.0465473 | + | 0.0366052i | ||||
\(929\) | −29.6465 | − | 28.2679i | −0.972669 | − | 0.927438i | 0.0247167 | − | 0.999694i | \(-0.492132\pi\) |
−0.997386 | + | 0.0722561i | \(0.976980\pi\) | |||||||
\(930\) | −9.89607 | − | 11.4207i | −0.324505 | − | 0.374499i | ||||
\(931\) | −16.1637 | + | 19.8661i | −0.529743 | + | 0.651085i | ||||
\(932\) | 25.4476 | − | 16.3542i | 0.833565 | − | 0.535700i | ||||
\(933\) | −6.57404 | + | 18.9944i | −0.215224 | + | 0.621850i | ||||
\(934\) | −5.49345 | + | 22.6443i | −0.179751 | + | 0.740945i | ||||
\(935\) | 13.2162 | + | 10.3934i | 0.432217 | + | 0.339899i | ||||
\(936\) | −5.14951 | − | 0.992487i | −0.168317 | − | 0.0324405i | ||||
\(937\) | 23.0415 | − | 50.4538i | 0.752732 | − | 1.64825i | −0.00865965 | − | 0.999963i | \(-0.502756\pi\) |
0.761392 | − | 0.648292i | \(-0.224516\pi\) | |||||||
\(938\) | −25.4982 | + | 10.6694i | −0.832545 | + | 0.348368i | ||||
\(939\) | 10.0651 | + | 22.0394i | 0.328461 | + | 0.719229i | ||||
\(940\) | −15.3023 | + | 12.0338i | −0.499105 | + | 0.392501i | ||||
\(941\) | −39.0147 | + | 20.1135i | −1.27184 | + | 0.655680i | −0.956065 | − | 0.293154i | \(-0.905295\pi\) |
−0.315776 | + | 0.948834i | \(0.602265\pi\) | |||||||
\(942\) | 7.30548 | − | 12.6535i | 0.238025 | − | 0.412272i | ||||
\(943\) | −3.12511 | + | 17.1314i | −0.101768 | + | 0.557876i | ||||
\(944\) | −2.05179 | −0.0667801 | ||||||||
\(945\) | −3.87215 | − | 5.26308i | −0.125961 | − | 0.171208i | ||||
\(946\) | −2.34155 | − | 16.2859i | −0.0761304 | − | 0.529499i | ||||
\(947\) | −7.87788 | + | 11.0629i | −0.255997 | + | 0.359497i | −0.922495 | − | 0.386010i | \(-0.873853\pi\) |
0.666498 | + | 0.745507i | \(0.267792\pi\) | |||||||
\(948\) | −3.54515 | + | 3.38030i | −0.115141 | + | 0.109787i | ||||
\(949\) | −38.6244 | − | 54.2404i | −1.25380 | − | 1.76072i | ||||
\(950\) | −3.94859 | − | 0.761028i | −0.128109 | − | 0.0246910i | ||||
\(951\) | 0.397171 | − | 2.76239i | 0.0128792 | − | 0.0895765i | ||||
\(952\) | 2.81230 | + | 5.91375i | 0.0911472 | + | 0.191666i | ||||
\(953\) | −6.23710 | − | 7.19800i | −0.202039 | − | 0.233166i | 0.645684 | − | 0.763605i | \(-0.276573\pi\) |
−0.847723 | + | 0.530439i | \(0.822027\pi\) | |||||||
\(954\) | −9.37142 | − | 4.83130i | −0.303411 | − | 0.156419i | ||||
\(955\) | −2.20197 | − | 46.2250i | −0.0712540 | − | 1.49581i | ||||
\(956\) | 5.85922 | − | 1.12927i | 0.189501 | − | 0.0365232i | ||||
\(957\) | −3.59115 | − | 3.42415i | −0.116085 | − | 0.110687i | ||||
\(958\) | −3.99526 | + | 27.7877i | −0.129081 | + | 0.897779i | ||||
\(959\) | −45.6701 | − | 28.3599i | −1.47476 | − | 0.915789i | ||||
\(960\) | 1.02592 | − | 2.24646i | 0.0331115 | − | 0.0725041i | ||||
\(961\) | 1.51883 | + | 6.26071i | 0.0489946 | + | 0.201958i | ||||
\(962\) | 22.5240 | + | 2.15079i | 0.726204 | + | 0.0693441i | ||||
\(963\) | −9.97267 | − | 3.99245i | −0.321365 | − | 0.128655i | ||||
\(964\) | 0.555110 | − | 11.6532i | 0.0178789 | − | 0.375324i | ||||
\(965\) | 22.1646 | 0.713504 | ||||||||
\(966\) | −4.41441 | + | 11.8959i | −0.142031 | + | 0.382745i | ||||
\(967\) | 47.3479 | 1.52261 | 0.761303 | − | 0.648396i | \(-0.224560\pi\) | ||||
0.761303 | + | 0.648396i | \(0.224560\pi\) | |||||||
\(968\) | 0.163390 | − | 3.42997i | 0.00525154 | − | 0.110243i | ||||
\(969\) | −8.40689 | − | 3.36561i | −0.270068 | − | 0.108119i | ||||
\(970\) | −19.0261 | − | 1.81677i | −0.610890 | − | 0.0583329i | ||||
\(971\) | 14.0780 | + | 58.0303i | 0.451785 | + | 1.86228i | 0.504090 | + | 0.863651i | \(0.331828\pi\) |
−0.0523054 | + | 0.998631i | \(0.516657\pi\) | |||||||
\(972\) | −0.415415 | + | 0.909632i | −0.0133244 | + | 0.0291765i | ||||
\(973\) | 1.45605 | − | 45.3449i | 0.0466788 | − | 1.45369i | ||||
\(974\) | −2.85949 | + | 19.8882i | −0.0916240 | + | 0.637259i | ||||
\(975\) | −4.17156 | − | 3.97757i | −0.133597 | − | 0.127384i | ||||
\(976\) | 6.95260 | − | 1.34000i | 0.222547 | − | 0.0428925i | ||||
\(977\) | −2.59742 | − | 54.5265i | −0.0830988 | − | 1.74446i | −0.528327 | − | 0.849041i | \(-0.677180\pi\) |
0.445228 | − | 0.895417i | \(-0.353123\pi\) | |||||||
\(978\) | −3.00523 | − | 1.54930i | −0.0960967 | − | 0.0495413i | ||||
\(979\) | −21.5840 | − | 24.9092i | −0.689827 | − | 0.796103i | ||||
\(980\) | −1.35740 | − | 17.2341i | −0.0433607 | − | 0.550522i | ||||
\(981\) | 1.49696 | − | 10.4116i | 0.0477942 | − | 0.332416i | ||||
\(982\) | −38.9478 | − | 7.50657i | −1.24287 | − | 0.239544i | ||||
\(983\) | −2.17953 | − | 3.06072i | −0.0695161 | − | 0.0976217i | 0.778354 | − | 0.627825i | \(-0.216055\pi\) |
−0.847870 | + | 0.530204i | \(0.822115\pi\) | |||||||
\(984\) | −2.62795 | + | 2.50575i | −0.0837760 | + | 0.0798803i | ||||
\(985\) | −35.6733 | + | 50.0962i | −1.13665 | + | 1.59620i | ||||
\(986\) | 0.635409 | + | 4.41936i | 0.0202355 | + | 0.140741i | ||||
\(987\) | 20.7278 | − | 2.30399i | 0.659775 | − | 0.0733370i | ||||
\(988\) | 19.1874 | 0.610431 | ||||||||
\(989\) | −27.8093 | + | 7.04058i | −0.884284 | + | 0.223877i | ||||
\(990\) | −3.39656 | + | 5.88302i | −0.107950 | + | 0.186975i | ||||
\(991\) | −6.26996 | + | 3.23239i | −0.199172 | + | 0.102680i | −0.554927 | − | 0.831899i | \(-0.687254\pi\) |
0.355755 | + | 0.934579i | \(0.384224\pi\) | |||||||
\(992\) | −4.80987 | + | 3.78252i | −0.152713 | + | 0.120095i | ||||
\(993\) | 10.4080 | + | 22.7904i | 0.330288 | + | 0.723230i | ||||
\(994\) | −10.3586 | − | 7.88935i | −0.328555 | − | 0.250235i | ||||
\(995\) | −8.28319 | + | 18.1377i | −0.262595 | + | 0.575003i | ||||
\(996\) | −2.66740 | − | 0.514099i | −0.0845197 | − | 0.0162898i | ||||
\(997\) | 14.8121 | + | 11.6483i | 0.469102 | + | 0.368906i | 0.824549 | − | 0.565790i | \(-0.191429\pi\) |
−0.355447 | + | 0.934697i | \(0.615671\pi\) | |||||||
\(998\) | 9.53673 | − | 39.3109i | 0.301880 | − | 1.24437i | ||||
\(999\) | 1.41114 | − | 4.07721i | 0.0446464 | − | 0.128997i |
(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 | 966.2.y.a.25.3 | ✓ | 160 | |
7.2 | even | 3 | inner | 966.2.y.a.163.3 | yes | 160 | |
23.12 | even | 11 | inner | 966.2.y.a.403.3 | yes | 160 | |
161.58 | even | 33 | inner | 966.2.y.a.541.3 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.y.a.25.3 | ✓ | 160 | 1.1 | even | 1 | trivial | |
966.2.y.a.163.3 | yes | 160 | 7.2 | even | 3 | inner | |
966.2.y.a.403.3 | yes | 160 | 23.12 | even | 11 | inner | |
966.2.y.a.541.3 | yes | 160 | 161.58 | even | 33 | inner |