Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(107,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 15, 44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bs (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 107.17 | ||
Character | \(\chi\) | \(=\) | 930.107 |
Dual form | 930.2.bs.a.113.17 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(e\left(\frac{11}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.453990 | − | 0.891007i | −0.321020 | − | 0.630037i | ||||
\(3\) | 0.0494968 | + | 1.73134i | 0.0285770 | + | 0.999592i | ||||
\(4\) | −0.587785 | + | 0.809017i | −0.293893 | + | 0.404508i | ||||
\(5\) | 0.307868 | + | 2.21477i | 0.137683 | + | 0.990476i | ||||
\(6\) | 1.52017 | − | 0.830115i | 0.620606 | − | 0.338893i | ||||
\(7\) | −0.186966 | + | 0.151402i | −0.0706667 | + | 0.0572247i | −0.664003 | − | 0.747730i | \(-0.731144\pi\) |
0.593336 | + | 0.804955i | \(0.297810\pi\) | |||||||
\(8\) | 0.987688 | + | 0.156434i | 0.349201 | + | 0.0553079i | ||||
\(9\) | −2.99510 | + | 0.171392i | −0.998367 | + | 0.0571306i | ||||
\(10\) | 1.83361 | − | 1.27980i | 0.579838 | − | 0.404708i | ||||
\(11\) | −2.00620 | − | 4.50600i | −0.604892 | − | 1.35861i | −0.913274 | − | 0.407347i | \(-0.866454\pi\) |
0.308382 | − | 0.951263i | \(-0.400213\pi\) | |||||||
\(12\) | −1.42978 | − | 0.977614i | −0.412742 | − | 0.282213i | ||||
\(13\) | −4.76348 | + | 3.09344i | −1.32115 | + | 0.857966i | −0.996143 | − | 0.0877451i | \(-0.972034\pi\) |
−0.325009 | + | 0.945711i | \(0.605367\pi\) | |||||||
\(14\) | 0.219782 | + | 0.0978530i | 0.0587391 | + | 0.0261523i | ||||
\(15\) | −3.81929 | + | 0.642649i | −0.986137 | + | 0.165931i | ||||
\(16\) | −0.309017 | − | 0.951057i | −0.0772542 | − | 0.237764i | ||||
\(17\) | −2.25707 | + | 0.866406i | −0.547419 | + | 0.210134i | −0.616329 | − | 0.787488i | \(-0.711381\pi\) |
0.0689107 | + | 0.997623i | \(0.478048\pi\) | |||||||
\(18\) | 1.51246 | + | 2.59084i | 0.356490 | + | 0.610668i | ||||
\(19\) | 0.204908 | + | 0.964018i | 0.0470092 | + | 0.221161i | 0.995381 | − | 0.0959983i | \(-0.0306044\pi\) |
−0.948372 | + | 0.317159i | \(0.897271\pi\) | |||||||
\(20\) | −1.97275 | − | 1.05274i | −0.441120 | − | 0.235400i | ||||
\(21\) | −0.271384 | − | 0.316209i | −0.0592208 | − | 0.0690025i | ||||
\(22\) | −3.10408 | + | 3.83322i | −0.661792 | + | 0.817245i | ||||
\(23\) | 6.01819 | + | 0.953188i | 1.25488 | + | 0.198753i | 0.748254 | − | 0.663412i | \(-0.230892\pi\) |
0.506626 | + | 0.862166i | \(0.330892\pi\) | |||||||
\(24\) | −0.221954 | + | 1.71777i | −0.0453062 | + | 0.350638i | ||||
\(25\) | −4.81043 | + | 1.36371i | −0.962087 | + | 0.272743i | ||||
\(26\) | 4.91885 | + | 2.83990i | 0.964666 | + | 0.556950i | ||||
\(27\) | −0.444986 | − | 5.17706i | −0.0856376 | − | 0.996326i | ||||
\(28\) | −0.0125910 | − | 0.240251i | −0.00237948 | − | 0.0454032i | ||||
\(29\) | 1.31190 | − | 4.03761i | 0.243614 | − | 0.749765i | −0.752248 | − | 0.658880i | \(-0.771030\pi\) |
0.995861 | − | 0.0908851i | \(-0.0289696\pi\) | |||||||
\(30\) | 2.30653 | + | 3.11126i | 0.421112 | + | 0.568036i | ||||
\(31\) | −5.34641 | − | 1.55432i | −0.960243 | − | 0.279165i | ||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | 7.70213 | − | 3.69645i | 1.34077 | − | 0.643470i | ||||
\(34\) | 1.79666 | + | 1.61772i | 0.308125 | + | 0.277437i | ||||
\(35\) | −0.392883 | − | 0.367476i | −0.0664093 | − | 0.0621148i | ||||
\(36\) | 1.62182 | − | 2.52383i | 0.270303 | − | 0.420638i | ||||
\(37\) | 1.11892 | − | 4.17587i | 0.183950 | − | 0.686509i | −0.810903 | − | 0.585180i | \(-0.801024\pi\) |
0.994853 | − | 0.101329i | \(-0.0323096\pi\) | |||||||
\(38\) | 0.765920 | − | 0.620230i | 0.124249 | − | 0.100615i | ||||
\(39\) | −5.59158 | − | 8.09410i | −0.895370 | − | 1.29609i | ||||
\(40\) | −0.0423894 | + | 2.23567i | −0.00670235 | + | 0.353490i | ||||
\(41\) | 5.33500 | − | 4.80366i | 0.833187 | − | 0.750205i | −0.137513 | − | 0.990500i | \(-0.543911\pi\) |
0.970700 | + | 0.240295i | \(0.0772442\pi\) | |||||||
\(42\) | −0.158539 | + | 0.385361i | −0.0244631 | + | 0.0594624i | ||||
\(43\) | −0.511917 | + | 0.788283i | −0.0780666 | + | 0.120212i | −0.875547 | − | 0.483132i | \(-0.839499\pi\) |
0.797481 | + | 0.603345i | \(0.206166\pi\) | |||||||
\(44\) | 4.82464 | + | 1.02551i | 0.727342 | + | 0.154601i | ||||
\(45\) | −1.30169 | − | 6.58070i | −0.194044 | − | 0.980993i | ||||
\(46\) | −1.88291 | − | 5.79499i | −0.277619 | − | 0.854424i | ||||
\(47\) | −10.0217 | − | 5.10633i | −1.46182 | − | 0.744835i | −0.471271 | − | 0.881989i | \(-0.656205\pi\) |
−0.990550 | + | 0.137154i | \(0.956205\pi\) | |||||||
\(48\) | 1.63131 | − | 0.582089i | 0.235459 | − | 0.0840173i | ||||
\(49\) | −1.44335 | + | 6.79042i | −0.206193 | + | 0.970060i | ||||
\(50\) | 3.39897 | + | 3.66702i | 0.480687 | + | 0.518594i | ||||
\(51\) | −1.61176 | − | 3.86487i | −0.225692 | − | 0.541190i | ||||
\(52\) | 0.297258 | − | 5.67201i | 0.0412222 | − | 0.786567i | ||||
\(53\) | −2.43739 | + | 3.00993i | −0.334802 | + | 0.413446i | −0.916548 | − | 0.399924i | \(-0.869036\pi\) |
0.581746 | + | 0.813370i | \(0.302370\pi\) | |||||||
\(54\) | −4.41078 | + | 2.74682i | −0.600231 | + | 0.373795i | ||||
\(55\) | 9.36211 | − | 5.83053i | 1.26239 | − | 0.786188i | ||||
\(56\) | −0.208349 | + | 0.120290i | −0.0278418 | + | 0.0160745i | ||||
\(57\) | −1.65890 | + | 0.402483i | −0.219727 | + | 0.0533101i | ||||
\(58\) | −4.19313 | + | 0.664126i | −0.550584 | + | 0.0872040i | ||||
\(59\) | −1.77046 | + | 1.96630i | −0.230494 | + | 0.255990i | −0.847287 | − | 0.531136i | \(-0.821765\pi\) |
0.616792 | + | 0.787126i | \(0.288432\pi\) | |||||||
\(60\) | 1.72501 | − | 3.46761i | 0.222698 | − | 0.447667i | ||||
\(61\) | −13.6901 | −1.75283 | −0.876416 | − | 0.481554i | \(-0.840072\pi\) | ||||
−0.876416 | + | 0.481554i | \(0.840072\pi\) | |||||||
\(62\) | 1.04231 | + | 5.46933i | 0.132373 | + | 0.694606i | ||||
\(63\) | 0.534034 | − | 0.485510i | 0.0672820 | − | 0.0611685i | ||||
\(64\) | 0.951057 | + | 0.309017i | 0.118882 | + | 0.0386271i | ||||
\(65\) | −8.31779 | − | 9.59765i | −1.03169 | − | 1.19044i | ||||
\(66\) | −6.79026 | − | 5.18449i | −0.835823 | − | 0.638167i | ||||
\(67\) | 11.6271 | − | 3.11548i | 1.42048 | − | 0.380617i | 0.534826 | − | 0.844962i | \(-0.320377\pi\) |
0.885654 | + | 0.464345i | \(0.153710\pi\) | |||||||
\(68\) | 0.625732 | − | 2.33526i | 0.0758812 | − | 0.283192i | ||||
\(69\) | −1.35241 | + | 10.4667i | −0.162812 | + | 1.26005i | ||||
\(70\) | −0.149059 | + | 0.516892i | −0.0178159 | + | 0.0617804i | ||||
\(71\) | −3.26073 | + | 0.342717i | −0.386978 | + | 0.0406730i | −0.296020 | − | 0.955182i | \(-0.595660\pi\) |
−0.0909579 | + | 0.995855i | \(0.528993\pi\) | |||||||
\(72\) | −2.98504 | − | 0.299255i | −0.351790 | − | 0.0352676i | ||||
\(73\) | 0.255132 | − | 0.664641i | 0.0298609 | − | 0.0777904i | −0.917839 | − | 0.396952i | \(-0.870068\pi\) |
0.947700 | + | 0.319162i | \(0.103401\pi\) | |||||||
\(74\) | −4.22871 | + | 0.898840i | −0.491578 | + | 0.104488i | ||||
\(75\) | −2.59916 | − | 8.26102i | −0.300125 | − | 0.953900i | ||||
\(76\) | −0.900349 | − | 0.400861i | −0.103277 | − | 0.0459819i | ||||
\(77\) | 1.05731 | + | 0.538727i | 0.120492 | + | 0.0613936i | ||||
\(78\) | −4.67337 | + | 8.65678i | −0.529155 | + | 0.980188i | ||||
\(79\) | −4.71809 | + | 10.5970i | −0.530827 | + | 1.19226i | 0.426827 | + | 0.904333i | \(0.359631\pi\) |
−0.957654 | + | 0.287923i | \(0.907035\pi\) | |||||||
\(80\) | 2.01124 | − | 0.977202i | 0.224863 | − | 0.109255i | ||||
\(81\) | 8.94125 | − | 1.02667i | 0.993472 | − | 0.114075i | ||||
\(82\) | −6.70213 | − | 2.57271i | −0.740126 | − | 0.284108i | ||||
\(83\) | −0.798229 | + | 15.2311i | −0.0876170 | + | 1.67183i | 0.502548 | + | 0.864549i | \(0.332396\pi\) |
−0.590165 | + | 0.807282i | \(0.700937\pi\) | |||||||
\(84\) | 0.415334 | − | 0.0336911i | 0.0453167 | − | 0.00367600i | ||||
\(85\) | −2.61377 | − | 4.73215i | −0.283503 | − | 0.513273i | ||||
\(86\) | 0.934771 | + | 0.0982484i | 0.100799 | + | 0.0105944i | ||||
\(87\) | 7.05542 | + | 2.07150i | 0.756421 | + | 0.222088i | ||||
\(88\) | −1.27661 | − | 4.76436i | −0.136087 | − | 0.507882i | ||||
\(89\) | −6.00221 | − | 4.36086i | −0.636233 | − | 0.462250i | 0.222321 | − | 0.974974i | \(-0.428637\pi\) |
−0.858554 | + | 0.512723i | \(0.828637\pi\) | |||||||
\(90\) | −5.27249 | + | 4.14739i | −0.555769 | + | 0.437173i | ||||
\(91\) | 0.422257 | − | 1.29957i | 0.0442645 | − | 0.136232i | ||||
\(92\) | −4.30855 | + | 4.30855i | −0.449197 | + | 0.449197i | ||||
\(93\) | 2.42644 | − | 9.33340i | 0.251610 | − | 0.967829i | ||||
\(94\) | 11.2477i | 1.16011i | ||||||||
\(95\) | −2.07200 | + | 0.750616i | −0.212582 | + | 0.0770115i | ||||
\(96\) | −1.25924 | − | 1.18925i | −0.128521 | − | 0.121377i | ||||
\(97\) | 1.81288 | + | 11.4461i | 0.184070 | + | 1.16218i | 0.890700 | + | 0.454592i | \(0.150215\pi\) |
−0.706629 | + | 0.707584i | \(0.749785\pi\) | |||||||
\(98\) | 6.70557 | − | 1.79675i | 0.677365 | − | 0.181499i | ||||
\(99\) | 6.78106 | + | 13.1521i | 0.681522 | + | 1.32183i | ||||
\(100\) | 1.72423 | − | 4.69329i | 0.172423 | − | 0.469329i | ||||
\(101\) | −3.32721 | − | 4.57951i | −0.331069 | − | 0.455678i | 0.610737 | − | 0.791833i | \(-0.290873\pi\) |
−0.941807 | + | 0.336155i | \(0.890873\pi\) | |||||||
\(102\) | −2.71190 | + | 3.19071i | −0.268518 | + | 0.315927i | ||||
\(103\) | 7.25081 | + | 0.379999i | 0.714444 | + | 0.0374424i | 0.406095 | − | 0.913831i | \(-0.366890\pi\) |
0.308349 | + | 0.951273i | \(0.400224\pi\) | |||||||
\(104\) | −5.18875 | + | 2.31018i | −0.508799 | + | 0.226532i | ||||
\(105\) | 0.616781 | − | 0.698404i | 0.0601917 | − | 0.0681573i | ||||
\(106\) | 3.78842 | + | 0.805254i | 0.367964 | + | 0.0782132i | ||||
\(107\) | 7.46029 | − | 2.86374i | 0.721213 | − | 0.276848i | 0.0300519 | − | 0.999548i | \(-0.490433\pi\) |
0.691161 | + | 0.722701i | \(0.257099\pi\) | |||||||
\(108\) | 4.44989 | + | 2.68300i | 0.428191 | + | 0.258172i | ||||
\(109\) | 3.87238 | − | 1.25821i | 0.370907 | − | 0.120515i | −0.117632 | − | 0.993057i | \(-0.537530\pi\) |
0.488538 | + | 0.872542i | \(0.337530\pi\) | |||||||
\(110\) | −9.44535 | − | 5.69470i | −0.900579 | − | 0.542969i | ||||
\(111\) | 7.28525 | + | 1.73055i | 0.691486 | + | 0.164256i | ||||
\(112\) | 0.201768 | + | 0.131030i | 0.0190653 | + | 0.0123811i | ||||
\(113\) | −18.7396 | − | 7.19345i | −1.76287 | − | 0.676703i | −0.999528 | − | 0.0307080i | \(-0.990224\pi\) |
−0.763342 | − | 0.645995i | \(-0.776443\pi\) | |||||||
\(114\) | 1.11174 | + | 1.29537i | 0.104124 | + | 0.121323i | ||||
\(115\) | −0.258287 | + | 13.6224i | −0.0240854 | + | 1.27029i | ||||
\(116\) | 2.49538 | + | 3.43460i | 0.231690 | + | 0.318894i | ||||
\(117\) | 13.7369 | − | 10.0816i | 1.26998 | − | 0.932043i | ||||
\(118\) | 2.55576 | + | 0.684813i | 0.235276 | + | 0.0630421i | ||||
\(119\) | 0.290819 | − | 0.503714i | 0.0266594 | − | 0.0461754i | ||||
\(120\) | −3.87280 | + | 0.0372677i | −0.353537 | + | 0.00340206i | ||||
\(121\) | −8.91874 | + | 9.90526i | −0.810794 | + | 0.900478i | ||||
\(122\) | 6.21516 | + | 12.1979i | 0.562694 | + | 1.10435i | ||||
\(123\) | 8.58084 | + | 8.99895i | 0.773708 | + | 0.811408i | ||||
\(124\) | 4.40001 | − | 3.41173i | 0.395133 | − | 0.306382i | ||||
\(125\) | −4.50129 | − | 10.2342i | −0.402608 | − | 0.915372i | ||||
\(126\) | −0.675039 | − | 0.255411i | −0.0601372 | − | 0.0227538i | ||||
\(127\) | 1.13137 | − | 0.0592924i | 0.100393 | − | 0.00526135i | −0.00207352 | − | 0.999998i | \(-0.500660\pi\) |
0.102466 | + | 0.994736i | \(0.467327\pi\) | |||||||
\(128\) | −0.156434 | − | 0.987688i | −0.0138270 | − | 0.0873001i | ||||
\(129\) | −1.39013 | − | 0.847287i | −0.122394 | − | 0.0745995i | ||||
\(130\) | −4.77538 | + | 11.7684i | −0.418828 | + | 1.03216i | ||||
\(131\) | −5.20248 | − | 0.546803i | −0.454543 | − | 0.0477744i | −0.125509 | − | 0.992092i | \(-0.540056\pi\) |
−0.329034 | + | 0.944318i | \(0.606723\pi\) | |||||||
\(132\) | −1.53670 | + | 8.40387i | −0.133753 | + | 0.731463i | ||||
\(133\) | −0.184266 | − | 0.149215i | −0.0159779 | − | 0.0129386i | ||||
\(134\) | −8.05452 | − | 8.94545i | −0.695805 | − | 0.772770i | ||||
\(135\) | 11.3290 | − | 2.57939i | 0.975047 | − | 0.221999i | ||||
\(136\) | −2.36481 | + | 0.502656i | −0.202781 | + | 0.0431024i | ||||
\(137\) | −0.692680 | + | 0.449832i | −0.0591796 | + | 0.0384317i | −0.573890 | − | 0.818933i | \(-0.694566\pi\) |
0.514710 | + | 0.857364i | \(0.327900\pi\) | |||||||
\(138\) | 9.93992 | − | 3.54679i | 0.846142 | − | 0.301923i | ||||
\(139\) | −14.6670 | + | 4.76559i | −1.24404 | + | 0.404212i | −0.855780 | − | 0.517339i | \(-0.826923\pi\) |
−0.388257 | + | 0.921551i | \(0.626923\pi\) | |||||||
\(140\) | 0.528225 | − | 0.101852i | 0.0446432 | − | 0.00860805i | ||||
\(141\) | 8.34477 | − | 17.6038i | 0.702756 | − | 1.48251i | ||||
\(142\) | 1.78571 | + | 2.74975i | 0.149853 | + | 0.230754i | ||||
\(143\) | 23.4955 | + | 15.2582i | 1.96479 | + | 1.27595i | ||||
\(144\) | 1.08854 | + | 2.79555i | 0.0907117 | + | 0.232962i | ||||
\(145\) | 9.34628 | + | 1.66251i | 0.776166 | + | 0.138064i | ||||
\(146\) | −0.708027 | + | 0.0744167i | −0.0585968 | + | 0.00615877i | ||||
\(147\) | −11.8280 | − | 2.16283i | −0.975556 | − | 0.178387i | ||||
\(148\) | 2.72067 | + | 3.35974i | 0.223637 | + | 0.276169i | ||||
\(149\) | −4.63836 | − | 8.03388i | −0.379990 | − | 0.658161i | 0.611071 | − | 0.791576i | \(-0.290739\pi\) |
−0.991060 | + | 0.133415i | \(0.957406\pi\) | |||||||
\(150\) | −6.18063 | + | 6.06629i | −0.504646 | + | 0.495310i | ||||
\(151\) | −3.39867 | − | 2.46927i | −0.276579 | − | 0.200947i | 0.440845 | − | 0.897583i | \(-0.354679\pi\) |
−0.717424 | + | 0.696637i | \(0.754679\pi\) | |||||||
\(152\) | 0.0515800 | + | 0.984204i | 0.00418369 | + | 0.0798295i | ||||
\(153\) | 6.61164 | − | 2.98182i | 0.534519 | − | 0.241066i | ||||
\(154\) | − | 1.18665i | − | 0.0956228i | ||||||
\(155\) | 1.79648 | − | 12.3196i | 0.144297 | − | 0.989534i | ||||
\(156\) | 9.83492 | + | 0.233909i | 0.787424 | + | 0.0187277i | ||||
\(157\) | −1.31130 | + | 0.668141i | −0.104653 | + | 0.0533235i | −0.505534 | − | 0.862807i | \(-0.668704\pi\) |
0.400880 | + | 0.916130i | \(0.368704\pi\) | |||||||
\(158\) | 11.5840 | − | 0.607090i | 0.921571 | − | 0.0482975i | ||||
\(159\) | −5.33187 | − | 4.07098i | −0.422845 | − | 0.322850i | ||||
\(160\) | −1.78378 | − | 1.34839i | −0.141020 | − | 0.106599i | ||||
\(161\) | −1.26952 | + | 0.732955i | −0.100052 | + | 0.0577649i | ||||
\(162\) | −4.97401 | − | 7.50061i | −0.390795 | − | 0.589304i | ||||
\(163\) | −3.17516 | + | 20.0472i | −0.248698 | + | 1.57022i | 0.474929 | + | 0.880024i | \(0.342474\pi\) |
−0.723627 | + | 0.690191i | \(0.757526\pi\) | |||||||
\(164\) | 0.750405 | + | 7.13962i | 0.0585968 | + | 0.557511i | ||||
\(165\) | 10.5580 | + | 15.9204i | 0.821942 | + | 1.23940i | ||||
\(166\) | 13.9334 | − | 6.20355i | 1.08144 | − | 0.481489i | ||||
\(167\) | −8.62187 | + | 13.2765i | −0.667180 | + | 1.02737i | 0.329356 | + | 0.944206i | \(0.393168\pi\) |
−0.996536 | + | 0.0831613i | \(0.973498\pi\) | |||||||
\(168\) | −0.218577 | − | 0.354770i | −0.0168636 | − | 0.0273711i | ||||
\(169\) | 7.83380 | − | 17.5950i | 0.602600 | − | 1.35346i | ||||
\(170\) | −3.02975 | + | 4.47724i | −0.232371 | + | 0.343388i | ||||
\(171\) | −0.778946 | − | 2.85221i | −0.0595675 | − | 0.218114i | ||||
\(172\) | −0.336837 | − | 0.877491i | −0.0256836 | − | 0.0669081i | ||||
\(173\) | 3.11391 | + | 4.79500i | 0.236746 | + | 0.364557i | 0.936996 | − | 0.349341i | \(-0.113595\pi\) |
−0.700250 | + | 0.713898i | \(0.746928\pi\) | |||||||
\(174\) | −1.35738 | − | 7.22687i | −0.102902 | − | 0.547868i | ||||
\(175\) | 0.692920 | − | 0.983280i | 0.0523798 | − | 0.0743290i | ||||
\(176\) | −3.66551 | + | 3.30044i | −0.276298 | + | 0.248780i | ||||
\(177\) | −3.49197 | − | 2.96795i | −0.262472 | − | 0.223085i | ||||
\(178\) | −1.16061 | + | 7.32780i | −0.0869913 | + | 0.549242i | ||||
\(179\) | −0.314152 | + | 2.98896i | −0.0234808 | + | 0.223405i | 0.976488 | + | 0.215570i | \(0.0691608\pi\) |
−0.999969 | + | 0.00783552i | \(0.997506\pi\) | |||||||
\(180\) | 6.08901 | + | 2.81495i | 0.453848 | + | 0.209814i | ||||
\(181\) | −7.60838 | + | 13.1781i | −0.565527 | + | 0.979521i | 0.431474 | + | 0.902126i | \(0.357994\pi\) |
−0.997000 | + | 0.0773956i | \(0.975340\pi\) | |||||||
\(182\) | −1.34963 | + | 0.213760i | −0.100041 | + | 0.0158449i | ||||
\(183\) | −0.677614 | − | 23.7022i | −0.0500907 | − | 1.75212i | ||||
\(184\) | 5.79499 | + | 1.88291i | 0.427212 | + | 0.138810i | ||||
\(185\) | 9.59309 | + | 1.19254i | 0.705298 | + | 0.0876773i | ||||
\(186\) | −9.41770 | + | 2.07531i | −0.690539 | + | 0.152169i | ||||
\(187\) | 8.43215 | + | 8.43215i | 0.616620 | + | 0.616620i | ||||
\(188\) | 10.0217 | − | 5.10633i | 0.730910 | − | 0.372417i | ||||
\(189\) | 0.867017 | + | 0.900565i | 0.0630662 | + | 0.0655065i | ||||
\(190\) | 1.60947 | + | 1.50539i | 0.116763 | + | 0.109212i | ||||
\(191\) | −15.1155 | − | 8.72695i | −1.09372 | − | 0.631460i | −0.159156 | − | 0.987253i | \(-0.550877\pi\) |
−0.934565 | + | 0.355794i | \(0.884211\pi\) | |||||||
\(192\) | −0.487940 | + | 1.66190i | −0.0352141 | + | 0.119937i | ||||
\(193\) | 2.66046 | + | 3.28540i | 0.191504 | + | 0.236488i | 0.863850 | − | 0.503749i | \(-0.168046\pi\) |
−0.672346 | + | 0.740237i | \(0.734713\pi\) | |||||||
\(194\) | 9.37552 | − | 6.81171i | 0.673123 | − | 0.489052i | ||||
\(195\) | 16.2051 | − | 14.8760i | 1.16047 | − | 1.06529i | ||||
\(196\) | −4.64519 | − | 5.15900i | −0.331799 | − | 0.368500i | ||||
\(197\) | −6.28134 | + | 16.3634i | −0.447527 | + | 1.16585i | 0.505464 | + | 0.862848i | \(0.331321\pi\) |
−0.952991 | + | 0.302999i | \(0.902012\pi\) | |||||||
\(198\) | 8.64004 | − | 12.0129i | 0.614021 | − | 0.853718i | ||||
\(199\) | −0.738703 | + | 3.47532i | −0.0523652 | + | 0.246359i | −0.996543 | − | 0.0830770i | \(-0.973525\pi\) |
0.944178 | + | 0.329436i | \(0.106859\pi\) | |||||||
\(200\) | −4.96454 | + | 0.594407i | −0.351046 | + | 0.0420309i | ||||
\(201\) | 5.96947 | + | 19.9764i | 0.421054 | + | 1.40902i | ||||
\(202\) | −2.56985 | + | 5.04362i | −0.180814 | + | 0.354868i | ||||
\(203\) | 0.366023 | + | 0.953522i | 0.0256898 | + | 0.0669241i | ||||
\(204\) | 4.07412 | + | 0.967769i | 0.285245 | + | 0.0677574i | ||||
\(205\) | 12.2815 | + | 10.3369i | 0.857776 | + | 0.721962i | ||||
\(206\) | −2.95322 | − | 6.63304i | −0.205760 | − | 0.462145i | ||||
\(207\) | −18.1885 | − | 1.82342i | −1.26419 | − | 0.126737i | ||||
\(208\) | 4.41403 | + | 3.57441i | 0.306058 | + | 0.247841i | ||||
\(209\) | 3.93278 | − | 2.85733i | 0.272036 | − | 0.197646i | ||||
\(210\) | −0.902295 | − | 0.232487i | −0.0622643 | − | 0.0160431i | ||||
\(211\) | 12.3582 | + | 21.4050i | 0.850773 | + | 1.47358i | 0.880512 | + | 0.474024i | \(0.157199\pi\) |
−0.0297396 | + | 0.999558i | \(0.509468\pi\) | |||||||
\(212\) | −1.00242 | − | 3.74109i | −0.0688466 | − | 0.256939i | ||||
\(213\) | −0.754757 | − | 5.62849i | −0.0517151 | − | 0.385658i | ||||
\(214\) | −5.93851 | − | 5.34706i | −0.405948 | − | 0.365517i | ||||
\(215\) | −1.90347 | − | 0.891093i | −0.129816 | − | 0.0607720i | ||||
\(216\) | 0.370364 | − | 5.18294i | 0.0252001 | − | 0.352654i | ||||
\(217\) | 1.23493 | − | 0.518853i | 0.0838323 | − | 0.0352220i | ||||
\(218\) | −2.87910 | − | 2.87910i | −0.194997 | − | 0.194997i | ||||
\(219\) | 1.16335 | + | 0.408823i | 0.0786120 | + | 0.0276257i | ||||
\(220\) | −0.785918 | + | 11.0012i | −0.0529866 | + | 0.741701i | ||||
\(221\) | 8.07131 | − | 11.1092i | 0.542935 | − | 0.747286i | ||||
\(222\) | −1.76551 | − | 7.27686i | −0.118493 | − | 0.488391i | ||||
\(223\) | −11.7301 | − | 3.14307i | −0.785505 | − | 0.210475i | −0.156295 | − | 0.987710i | \(-0.549955\pi\) |
−0.629210 | + | 0.777235i | \(0.716622\pi\) | |||||||
\(224\) | 0.0251475 | − | 0.239263i | 0.00168024 | − | 0.0159864i | ||||
\(225\) | 14.1740 | − | 4.90893i | 0.944934 | − | 0.327262i | ||||
\(226\) | 2.09818 | + | 19.9628i | 0.139569 | + | 1.32791i | ||||
\(227\) | 25.6155 | + | 1.34245i | 1.70016 | + | 0.0891018i | 0.877546 | − | 0.479493i | \(-0.159179\pi\) |
0.822618 | + | 0.568595i | \(0.192513\pi\) | |||||||
\(228\) | 0.649464 | − | 1.57865i | 0.0430118 | − | 0.104549i | ||||
\(229\) | −1.26298 | − | 5.94184i | −0.0834598 | − | 0.392648i | 0.916513 | − | 0.400005i | \(-0.130992\pi\) |
−0.999973 | + | 0.00735701i | \(0.997658\pi\) | |||||||
\(230\) | 12.2549 | − | 5.95430i | 0.808064 | − | 0.392615i | ||||
\(231\) | −0.880388 | + | 1.85723i | −0.0579252 | + | 0.122197i | ||||
\(232\) | 1.92737 | − | 3.78267i | 0.126538 | − | 0.248345i | ||||
\(233\) | 8.89523 | − | 17.4579i | 0.582746 | − | 1.14370i | −0.391912 | − | 0.920003i | \(-0.628186\pi\) |
0.974658 | − | 0.223700i | \(-0.0718137\pi\) | |||||||
\(234\) | −15.2192 | − | 7.66273i | −0.994909 | − | 0.500928i | ||||
\(235\) | 8.22399 | − | 23.7679i | 0.536474 | − | 1.55045i | ||||
\(236\) | −0.550116 | − | 2.58809i | −0.0358095 | − | 0.168471i | ||||
\(237\) | −18.5806 | − | 7.64412i | −1.20694 | − | 0.496539i | ||||
\(238\) | −0.580842 | − | 0.0304406i | −0.0376504 | − | 0.00197317i | ||||
\(239\) | 1.14773 | + | 10.9199i | 0.0742406 | + | 0.706352i | 0.966819 | + | 0.255461i | \(0.0822271\pi\) |
−0.892579 | + | 0.450891i | \(0.851106\pi\) | |||||||
\(240\) | 1.79142 | + | 3.43377i | 0.115636 | + | 0.221649i | ||||
\(241\) | 1.81346 | − | 17.2540i | 0.116815 | − | 1.11142i | −0.766369 | − | 0.642400i | \(-0.777939\pi\) |
0.883185 | − | 0.469025i | \(-0.155395\pi\) | |||||||
\(242\) | 12.8747 | + | 3.44976i | 0.827616 | + | 0.221759i | ||||
\(243\) | 2.22008 | + | 15.4296i | 0.142418 | + | 0.989807i | ||||
\(244\) | 8.04681 | − | 11.0755i | 0.515145 | − | 0.709036i | ||||
\(245\) | −15.4836 | − | 1.10614i | −0.989211 | − | 0.0706685i | ||||
\(246\) | 4.12250 | − | 11.7310i | 0.262841 | − | 0.747943i | ||||
\(247\) | −3.95821 | − | 3.95821i | −0.251855 | − | 0.251855i | ||||
\(248\) | −5.03744 | − | 2.37155i | −0.319877 | − | 0.150594i | ||||
\(249\) | −26.4098 | − | 0.628117i | −1.67365 | − | 0.0398053i | ||||
\(250\) | −7.07517 | + | 8.65690i | −0.447473 | + | 0.547510i | ||||
\(251\) | 17.2033 | + | 15.4899i | 1.08586 | + | 0.977714i | 0.999827 | − | 0.0185778i | \(-0.00591384\pi\) |
0.0860344 | + | 0.996292i | \(0.472581\pi\) | |||||||
\(252\) | 0.0788885 | + | 0.717418i | 0.00496951 | + | 0.0451931i | ||||
\(253\) | −7.77863 | − | 29.0302i | −0.489038 | − | 1.82512i | ||||
\(254\) | −0.566460 | − | 0.981137i | −0.0355428 | − | 0.0615620i | ||||
\(255\) | 8.06360 | − | 4.75956i | 0.504962 | − | 0.298055i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −2.98354 | − | 2.41602i | −0.186108 | − | 0.150707i | 0.531739 | − | 0.846908i | \(-0.321539\pi\) |
−0.717847 | + | 0.696201i | \(0.754872\pi\) | |||||||
\(258\) | −0.123834 | + | 1.62327i | −0.00770954 | + | 0.101061i | ||||
\(259\) | 0.423037 | + | 0.950156i | 0.0262862 | + | 0.0590398i | ||||
\(260\) | 12.6537 | − | 1.08787i | 0.784752 | − | 0.0674670i | ||||
\(261\) | −3.23726 | + | 12.3179i | −0.200381 | + | 0.762459i | ||||
\(262\) | 1.87467 | + | 4.88369i | 0.115818 | + | 0.301715i | ||||
\(263\) | 5.84332 | − | 11.4682i | 0.360315 | − | 0.707157i | −0.637690 | − | 0.770293i | \(-0.720110\pi\) |
0.998005 | + | 0.0631356i | \(0.0201101\pi\) | |||||||
\(264\) | 8.18555 | − | 2.44606i | 0.503786 | − | 0.150545i | ||||
\(265\) | −7.41671 | − | 4.47161i | −0.455605 | − | 0.274689i | ||||
\(266\) | −0.0492970 | + | 0.231924i | −0.00302259 | + | 0.0142202i | ||||
\(267\) | 7.25306 | − | 10.6077i | 0.443880 | − | 0.649183i | ||||
\(268\) | −4.31378 | + | 11.2378i | −0.263506 | + | 0.686457i | ||||
\(269\) | −0.251739 | − | 0.279585i | −0.0153488 | − | 0.0170466i | 0.735422 | − | 0.677610i | \(-0.236984\pi\) |
−0.750770 | + | 0.660563i | \(0.770318\pi\) | |||||||
\(270\) | −7.44152 | − | 8.92321i | −0.452877 | − | 0.543049i | ||||
\(271\) | 8.97835 | − | 6.52315i | 0.545396 | − | 0.396253i | −0.280689 | − | 0.959799i | \(-0.590563\pi\) |
0.826085 | + | 0.563545i | \(0.190563\pi\) | |||||||
\(272\) | 1.52147 | + | 1.87886i | 0.0922528 | + | 0.113923i | ||||
\(273\) | 2.27091 | + | 0.666746i | 0.137441 | + | 0.0403533i | ||||
\(274\) | 0.715273 | + | 0.412963i | 0.0432112 | + | 0.0249480i | ||||
\(275\) | 15.7956 | + | 18.9399i | 0.952509 | + | 1.14212i | ||||
\(276\) | −7.67284 | − | 7.24632i | −0.461851 | − | 0.436177i | ||||
\(277\) | 14.1720 | − | 7.22102i | 0.851516 | − | 0.433869i | 0.0269513 | − | 0.999637i | \(-0.491420\pi\) |
0.824565 | + | 0.565768i | \(0.191420\pi\) | |||||||
\(278\) | 10.9048 | + | 10.9048i | 0.654029 | + | 0.654029i | ||||
\(279\) | 16.2794 | + | 3.73902i | 0.974624 | + | 0.223849i | ||||
\(280\) | −0.330560 | − | 0.424412i | −0.0197547 | − | 0.0253635i | ||||
\(281\) | −14.4489 | − | 4.69473i | −0.861949 | − | 0.280064i | −0.155507 | − | 0.987835i | \(-0.549701\pi\) |
−0.706442 | + | 0.707770i | \(0.749701\pi\) | |||||||
\(282\) | −19.4736 | + | 0.556723i | −1.15963 | + | 0.0331524i | ||||
\(283\) | 18.5300 | − | 2.93486i | 1.10149 | − | 0.174459i | 0.420890 | − | 0.907112i | \(-0.361718\pi\) |
0.680603 | + | 0.732652i | \(0.261718\pi\) | |||||||
\(284\) | 1.63935 | − | 2.83943i | 0.0972774 | − | 0.168489i | ||||
\(285\) | −1.40213 | − | 3.55018i | −0.0830550 | − | 0.210295i | ||||
\(286\) | 2.92839 | − | 27.8617i | 0.173159 | − | 1.64750i | ||||
\(287\) | −0.270181 | + | 1.70585i | −0.0159483 | + | 0.100693i | ||||
\(288\) | 1.99666 | − | 2.23905i | 0.117655 | − | 0.131937i | ||||
\(289\) | −8.28978 | + | 7.46415i | −0.487634 | + | 0.439068i | ||||
\(290\) | −2.76182 | − | 9.08236i | −0.162179 | − | 0.533334i | ||||
\(291\) | −19.7274 | + | 3.70527i | −1.15644 | + | 0.217207i | ||||
\(292\) | 0.387743 | + | 0.597072i | 0.0226910 | + | 0.0349410i | ||||
\(293\) | 7.47023 | + | 19.4606i | 0.436416 | + | 1.13690i | 0.958773 | + | 0.284175i | \(0.0917195\pi\) |
−0.522357 | + | 0.852727i | \(0.674947\pi\) | |||||||
\(294\) | 3.44270 | + | 11.5207i | 0.200782 | + | 0.671902i | ||||
\(295\) | −4.89997 | − | 3.31581i | −0.285287 | − | 0.193054i | ||||
\(296\) | 1.75840 | − | 3.94942i | 0.102205 | − | 0.229556i | ||||
\(297\) | −22.4351 | + | 12.3913i | −1.30182 | + | 0.719018i | ||||
\(298\) | −5.05247 | + | 7.78012i | −0.292682 | + | 0.450690i | ||||
\(299\) | −31.6162 | + | 14.0764i | −1.82841 | + | 0.814061i | ||||
\(300\) | 8.21105 | + | 2.75294i | 0.474065 | + | 0.158941i | ||||
\(301\) | −0.0236367 | − | 0.224888i | −0.00136240 | − | 0.0129623i | ||||
\(302\) | −0.657178 | + | 4.14926i | −0.0378164 | + | 0.238763i | ||||
\(303\) | 7.76401 | − | 5.98721i | 0.446031 | − | 0.343956i | ||||
\(304\) | 0.853516 | − | 0.492777i | 0.0489525 | − | 0.0282627i | ||||
\(305\) | −4.21473 | − | 30.3204i | −0.241335 | − | 1.73614i | ||||
\(306\) | −5.65844 | − | 4.53730i | −0.323471 | − | 0.259380i | ||||
\(307\) | 32.6594 | − | 1.71161i | 1.86397 | − | 0.0976866i | 0.913187 | − | 0.407540i | \(-0.133613\pi\) |
0.950784 | + | 0.309853i | \(0.100280\pi\) | |||||||
\(308\) | −1.05731 | + | 0.538727i | −0.0602459 | + | 0.0306968i | ||||
\(309\) | −0.299017 | + | 12.5725i | −0.0170105 | + | 0.715222i | ||||
\(310\) | −11.7924 | + | 3.99230i | −0.669765 | + | 0.226748i | ||||
\(311\) | 16.5976i | 0.941162i | 0.882357 | + | 0.470581i | \(0.155956\pi\) | ||||
−0.882357 | + | 0.470581i | \(0.844044\pi\) | |||||||
\(312\) | −4.25655 | − | 8.86917i | −0.240979 | − | 0.502118i | ||||
\(313\) | 0.489533 | + | 9.34085i | 0.0276701 | + | 0.527976i | 0.976940 | + | 0.213514i | \(0.0684909\pi\) |
−0.949270 | + | 0.314462i | \(0.898176\pi\) | |||||||
\(314\) | 1.19064 | + | 0.865048i | 0.0671915 | + | 0.0488175i | ||||
\(315\) | 1.23971 | + | 1.03329i | 0.0698495 | + | 0.0582194i | ||||
\(316\) | −5.79993 | − | 10.0458i | −0.326272 | − | 0.565119i | ||||
\(317\) | 16.5421 | + | 20.4279i | 0.929100 | + | 1.14734i | 0.988818 | + | 0.149127i | \(0.0476464\pi\) |
−0.0597183 | + | 0.998215i | \(0.519020\pi\) | |||||||
\(318\) | −1.20666 | + | 6.59892i | −0.0676659 | + | 0.370049i | ||||
\(319\) | −20.8254 | + | 2.18884i | −1.16600 | + | 0.122551i | ||||
\(320\) | −0.391603 | + | 2.20151i | −0.0218913 | + | 0.123068i | ||||
\(321\) | 5.32737 | + | 12.7746i | 0.297345 | + | 0.713007i | ||||
\(322\) | 1.22942 | + | 0.798392i | 0.0685126 | + | 0.0444926i | ||||
\(323\) | −1.29772 | − | 1.99832i | −0.0722072 | − | 0.111189i | ||||
\(324\) | −4.42494 | + | 7.83709i | −0.245830 | + | 0.435394i | ||||
\(325\) | 18.6958 | − | 21.3768i | 1.03706 | − | 1.18577i | ||||
\(326\) | 19.3036 | − | 6.27214i | 1.06913 | − | 0.347381i | ||||
\(327\) | 2.37007 | + | 6.64214i | 0.131065 | + | 0.367311i | ||||
\(328\) | 6.02077 | − | 3.90994i | 0.332442 | − | 0.215890i | ||||
\(329\) | 2.64684 | − | 0.562603i | 0.145925 | − | 0.0310173i | ||||
\(330\) | 9.39197 | − | 16.6350i | 0.517011 | − | 0.915727i | ||||
\(331\) | 19.5743 | + | 21.7395i | 1.07590 | + | 1.19491i | 0.979892 | + | 0.199529i | \(0.0639413\pi\) |
0.0960096 | + | 0.995380i | \(0.469392\pi\) | |||||||
\(332\) | −11.8530 | − | 9.59840i | −0.650520 | − | 0.526781i | ||||
\(333\) | −2.63557 | + | 12.6989i | −0.144428 | + | 0.695897i | ||||
\(334\) | 15.7437 | + | 1.65473i | 0.861457 | + | 0.0905428i | ||||
\(335\) | 10.4797 | + | 24.7923i | 0.572567 | + | 1.35455i | ||||
\(336\) | −0.216871 | + | 0.355815i | −0.0118313 | + | 0.0194113i | ||||
\(337\) | −1.84383 | − | 11.6415i | −0.100440 | − | 0.634152i | −0.985630 | − | 0.168921i | \(-0.945972\pi\) |
0.885190 | − | 0.465230i | \(-0.154028\pi\) | |||||||
\(338\) | −19.2337 | + | 1.00800i | −1.04618 | + | 0.0548278i | ||||
\(339\) | 11.5268 | − | 32.8007i | 0.626049 | − | 1.78149i | ||||
\(340\) | 5.36472 | + | 0.666902i | 0.290943 | + | 0.0361678i | ||||
\(341\) | 3.72219 | + | 27.2092i | 0.201568 | + | 1.47346i | ||||
\(342\) | −2.18770 | + | 1.98892i | −0.118298 | + | 0.107549i | ||||
\(343\) | −1.52278 | − | 2.98862i | −0.0822223 | − | 0.161370i | ||||
\(344\) | −0.628929 | + | 0.698497i | −0.0339096 | + | 0.0376604i | ||||
\(345\) | −23.5978 | + | 0.227080i | −1.27046 | + | 0.0122256i | ||||
\(346\) | 2.85869 | − | 4.95140i | 0.153684 | − | 0.266189i | ||||
\(347\) | −9.02424 | − | 2.41804i | −0.484447 | − | 0.129807i | 0.00832567 | − | 0.999965i | \(-0.497350\pi\) |
−0.492772 | + | 0.870158i | \(0.664016\pi\) | |||||||
\(348\) | −5.82295 | + | 4.49036i | −0.312143 | + | 0.240709i | ||||
\(349\) | −1.36324 | − | 1.87633i | −0.0729723 | − | 0.100438i | 0.770971 | − | 0.636871i | \(-0.219771\pi\) |
−0.843943 | + | 0.536433i | \(0.819771\pi\) | |||||||
\(350\) | −1.19069 | − | 0.170997i | −0.0636450 | − | 0.00914015i | ||||
\(351\) | 18.1346 | + | 23.2843i | 0.967954 | + | 1.24282i | ||||
\(352\) | 4.60482 | + | 1.76762i | 0.245438 | + | 0.0942147i | ||||
\(353\) | −12.1227 | − | 7.87257i | −0.645226 | − | 0.419015i | 0.180118 | − | 0.983645i | \(-0.442352\pi\) |
−0.825344 | + | 0.564630i | \(0.809019\pi\) | |||||||
\(354\) | −1.05914 | + | 4.45879i | −0.0562929 | + | 0.236982i | ||||
\(355\) | −1.76292 | − | 7.11627i | −0.0935658 | − | 0.377693i | ||||
\(356\) | 7.05602 | − | 2.29264i | 0.373968 | − | 0.121510i | ||||
\(357\) | 0.886497 | + | 0.478576i | 0.0469184 | + | 0.0253289i | ||||
\(358\) | 2.80580 | − | 1.07705i | 0.148291 | − | 0.0569237i | ||||
\(359\) | 8.39374 | + | 1.78414i | 0.443005 | + | 0.0941635i | 0.424013 | − | 0.905656i | \(-0.360621\pi\) |
0.0189916 | + | 0.999820i | \(0.493954\pi\) | |||||||
\(360\) | −0.256215 | − | 6.70331i | −0.0135037 | − | 0.353295i | ||||
\(361\) | 16.4700 | − | 7.33293i | 0.866843 | − | 0.385943i | ||||
\(362\) | 15.1959 | + | 0.796384i | 0.798680 | + | 0.0418570i | ||||
\(363\) | −17.5909 | − | 14.9511i | −0.923281 | − | 0.784730i | ||||
\(364\) | 0.803180 | + | 1.10548i | 0.0420980 | + | 0.0579430i | ||||
\(365\) | 1.55058 | + | 0.360438i | 0.0811609 | + | 0.0188662i | ||||
\(366\) | −20.8112 | + | 11.3643i | −1.08782 | + | 0.594023i | ||||
\(367\) | −10.5443 | + | 2.82535i | −0.550410 | + | 0.147482i | −0.523297 | − | 0.852151i | \(-0.675298\pi\) |
−0.0271130 | + | 0.999632i | \(0.508631\pi\) | |||||||
\(368\) | −0.953188 | − | 6.01819i | −0.0496884 | − | 0.313720i | ||||
\(369\) | −15.1555 | + | 15.3018i | −0.788966 | + | 0.796580i | ||||
\(370\) | −3.29261 | − | 9.08891i | −0.171175 | − | 0.472510i | ||||
\(371\) | − | 0.931783i | − | 0.0483758i | ||||||
\(372\) | 6.12466 | + | 7.44906i | 0.317549 | + | 0.386216i | ||||
\(373\) | −14.7887 | + | 14.7887i | −0.765729 | + | 0.765729i | −0.977351 | − | 0.211623i | \(-0.932125\pi\) |
0.211623 | + | 0.977351i | \(0.432125\pi\) | |||||||
\(374\) | 3.68498 | − | 11.3412i | 0.190546 | − | 0.586440i | ||||
\(375\) | 17.4961 | − | 8.29985i | 0.903493 | − | 0.428602i | ||||
\(376\) | −9.09955 | − | 6.61121i | −0.469273 | − | 0.340947i | ||||
\(377\) | 6.24090 | + | 23.2914i | 0.321423 | + | 1.19957i | ||||
\(378\) | 0.408792 | − | 1.18137i | 0.0210260 | − | 0.0607629i | ||||
\(379\) | −30.9747 | − | 3.25557i | −1.59106 | − | 0.167227i | −0.732802 | − | 0.680442i | \(-0.761788\pi\) |
−0.858260 | + | 0.513214i | \(0.828455\pi\) | |||||||
\(380\) | 0.610628 | − | 2.11748i | 0.0313246 | − | 0.108624i | ||||
\(381\) | 0.158655 | + | 1.95585i | 0.00812812 | + | 0.100201i | ||||
\(382\) | −0.913466 | + | 17.4300i | −0.0467370 | + | 0.891795i | ||||
\(383\) | −17.8865 | − | 6.86600i | −0.913959 | − | 0.350836i | −0.144480 | − | 0.989508i | \(-0.546151\pi\) |
−0.769479 | + | 0.638672i | \(0.779484\pi\) | |||||||
\(384\) | 1.70228 | − | 0.319729i | 0.0868694 | − | 0.0163161i | ||||
\(385\) | −0.867645 | + | 2.50756i | −0.0442193 | + | 0.127797i | ||||
\(386\) | 1.71949 | − | 3.86203i | 0.0875195 | − | 0.196572i | ||||
\(387\) | 1.39814 | − | 2.44873i | 0.0710713 | − | 0.124476i | ||||
\(388\) | −10.3257 | − | 5.26119i | −0.524207 | − | 0.267097i | ||||
\(389\) | −7.41612 | − | 3.30187i | −0.376012 | − | 0.167412i | 0.210024 | − | 0.977696i | \(-0.432646\pi\) |
−0.586036 | + | 0.810285i | \(0.699312\pi\) | |||||||
\(390\) | −20.6116 | − | 7.68532i | −1.04371 | − | 0.389161i | ||||
\(391\) | −14.4093 | + | 3.06279i | −0.728710 | + | 0.154892i | ||||
\(392\) | −2.48783 | + | 6.48103i | −0.125655 | + | 0.327341i | ||||
\(393\) | 0.689198 | − | 9.03435i | 0.0347654 | − | 0.455723i | ||||
\(394\) | 17.4316 | − | 1.83213i | 0.878191 | − | 0.0923016i | ||||
\(395\) | −24.9225 | − | 7.18702i | −1.25399 | − | 0.361618i | ||||
\(396\) | −14.6261 | − | 2.24460i | −0.734987 | − | 0.112795i | ||||
\(397\) | −9.49446 | + | 35.4338i | −0.476513 | + | 1.77837i | 0.139052 | + | 0.990285i | \(0.455594\pi\) |
−0.615565 | + | 0.788086i | \(0.711072\pi\) | |||||||
\(398\) | 3.43190 | − | 0.919575i | 0.172026 | − | 0.0460941i | ||||
\(399\) | 0.249223 | − | 0.326413i | 0.0124767 | − | 0.0163411i | ||||
\(400\) | 2.78348 | + | 4.15358i | 0.139174 | + | 0.207679i | ||||
\(401\) | −12.9730 | − | 4.21517i | −0.647839 | − | 0.210496i | −0.0333780 | − | 0.999443i | \(-0.510627\pi\) |
−0.614461 | + | 0.788947i | \(0.710627\pi\) | |||||||
\(402\) | 15.0890 | − | 14.3879i | 0.752570 | − | 0.717604i | ||||
\(403\) | 30.2757 | − | 9.13481i | 1.50814 | − | 0.455037i | ||||
\(404\) | 5.66058 | 0.281624 | ||||||||
\(405\) | 5.02657 | + | 19.4868i | 0.249772 | + | 0.968305i | ||||
\(406\) | 0.683424 | − | 0.759019i | 0.0339177 | − | 0.0376695i | ||||
\(407\) | −21.0613 | + | 3.33578i | −1.04397 | + | 0.165348i | ||||
\(408\) | −0.987322 | − | 4.06942i | −0.0488797 | − | 0.201466i | ||||
\(409\) | 28.1769 | − | 16.2679i | 1.39326 | − | 0.804398i | 0.399584 | − | 0.916697i | \(-0.369155\pi\) |
0.993675 | + | 0.112298i | \(0.0358212\pi\) | |||||||
\(410\) | 3.63459 | − | 15.6357i | 0.179500 | − | 0.772194i | ||||
\(411\) | −0.813098 | − | 1.17700i | −0.0401072 | − | 0.0580572i | ||||
\(412\) | −4.56935 | + | 5.64267i | −0.225115 | + | 0.277994i | ||||
\(413\) | 0.0333148 | − | 0.635684i | 0.00163931 | − | 0.0312799i | ||||
\(414\) | 6.63270 | + | 17.0339i | 0.325980 | + | 0.837168i | ||||
\(415\) | −33.9792 | + | 2.92127i | −1.66797 | + | 0.143400i | ||||
\(416\) | 1.18090 | − | 5.55568i | 0.0578982 | − | 0.272390i | ||||
\(417\) | −8.97684 | − | 25.1577i | −0.439598 | − | 1.23198i | ||||
\(418\) | −4.33134 | − | 2.20693i | −0.211853 | − | 0.107944i | ||||
\(419\) | −6.42102 | − | 19.7619i | −0.313687 | − | 0.965431i | −0.976291 | − | 0.216461i | \(-0.930549\pi\) |
0.662604 | − | 0.748970i | \(-0.269451\pi\) | |||||||
\(420\) | 0.202486 | + | 0.909498i | 0.00988030 | + | 0.0443790i | ||||
\(421\) | −17.4622 | − | 3.71171i | −0.851057 | − | 0.180898i | −0.238322 | − | 0.971186i | \(-0.576597\pi\) |
−0.612735 | + | 0.790289i | \(0.709931\pi\) | |||||||
\(422\) | 13.4615 | − | 20.7289i | 0.655296 | − | 1.00907i | ||||
\(423\) | 30.8913 | + | 13.5763i | 1.50199 | + | 0.660103i | ||||
\(424\) | −2.87824 | + | 2.59158i | −0.139780 | + | 0.125858i | ||||
\(425\) | 9.67593 | − | 7.24578i | 0.469352 | − | 0.351472i | ||||
\(426\) | −4.67237 | + | 3.22777i | −0.226377 | + | 0.156386i | ||||
\(427\) | 2.55958 | − | 2.07271i | 0.123867 | − | 0.100305i | ||||
\(428\) | −2.06824 | + | 7.71876i | −0.0999719 | + | 0.373100i | ||||
\(429\) | −25.2542 | + | 41.4341i | −1.21928 | + | 2.00045i | ||||
\(430\) | 0.0701880 | + | 2.10055i | 0.00338477 | + | 0.101298i | ||||
\(431\) | 8.65037 | + | 7.78883i | 0.416674 | + | 0.375175i | 0.850635 | − | 0.525757i | \(-0.176218\pi\) |
−0.433961 | + | 0.900932i | \(0.642885\pi\) | |||||||
\(432\) | −4.78617 | + | 2.02301i | −0.230275 | + | 0.0973320i | ||||
\(433\) | −24.0137 | + | 24.0137i | −1.15403 | + | 1.15403i | −0.168289 | + | 0.985738i | \(0.553824\pi\) |
−0.985738 | + | 0.168289i | \(0.946176\pi\) | |||||||
\(434\) | −1.02295 | − | 0.864774i | −0.0491030 | − | 0.0415105i | ||||
\(435\) | −2.41576 | + | 16.2639i | −0.115827 | + | 0.779795i | ||||
\(436\) | −1.25821 | + | 3.87238i | −0.0602574 | + | 0.185453i | ||||
\(437\) | 0.314288 | + | 5.99696i | 0.0150344 | + | 0.286874i | ||||
\(438\) | −0.163886 | − | 1.22215i | −0.00783077 | − | 0.0583968i | ||||
\(439\) | −2.58192 | − | 1.49067i | −0.123229 | − | 0.0711460i | 0.437119 | − | 0.899404i | \(-0.355999\pi\) |
−0.560347 | + | 0.828258i | \(0.689332\pi\) | |||||||
\(440\) | 10.1589 | − | 4.29419i | 0.484309 | − | 0.204717i | ||||
\(441\) | 3.15915 | − | 20.5854i | 0.150436 | − | 0.980255i | ||||
\(442\) | −13.5627 | − | 2.14812i | −0.645110 | − | 0.102175i | ||||
\(443\) | 7.17460 | − | 8.85990i | 0.340876 | − | 0.420946i | −0.577664 | − | 0.816274i | \(-0.696036\pi\) |
0.918540 | + | 0.395328i | \(0.129369\pi\) | |||||||
\(444\) | −5.68221 | + | 4.87671i | −0.269666 | + | 0.231438i | ||||
\(445\) | 7.81043 | − | 14.6361i | 0.370250 | − | 0.693817i | ||||
\(446\) | 2.52486 | + | 11.8785i | 0.119555 | + | 0.562464i | ||||
\(447\) | 13.6798 | − | 8.42825i | 0.647034 | − | 0.398643i | ||||
\(448\) | −0.224602 | + | 0.0862165i | −0.0106114 | + | 0.00407334i | ||||
\(449\) | −11.0233 | − | 33.9262i | −0.520221 | − | 1.60108i | −0.773577 | − | 0.633703i | \(-0.781534\pi\) |
0.253356 | − | 0.967373i | \(-0.418466\pi\) | |||||||
\(450\) | −10.8088 | − | 10.4005i | −0.509529 | − | 0.490285i | ||||
\(451\) | −32.3483 | − | 14.4024i | −1.52322 | − | 0.678183i | ||||
\(452\) | 16.8345 | − | 10.9324i | 0.791827 | − | 0.514218i | ||||
\(453\) | 4.10694 | − | 6.00648i | 0.192961 | − | 0.282209i | ||||
\(454\) | −10.4331 | − | 23.4331i | −0.489649 | − | 1.09977i | ||||
\(455\) | 3.00826 | + | 0.535106i | 0.141029 | + | 0.0250861i | ||||
\(456\) | −1.70144 | + | 0.138018i | −0.0796773 | + | 0.00646326i | ||||
\(457\) | −15.7167 | − | 2.48927i | −0.735194 | − | 0.116443i | −0.222401 | − | 0.974955i | \(-0.571389\pi\) |
−0.512793 | + | 0.858512i | \(0.671389\pi\) | |||||||
\(458\) | −4.72084 | + | 3.82286i | −0.220590 | + | 0.178630i | ||||
\(459\) | 5.48980 | + | 11.2994i | 0.256242 | + | 0.527412i | ||||
\(460\) | −10.8689 | − | 8.21600i | −0.506766 | − | 0.383073i | ||||
\(461\) | 7.00043 | − | 9.63527i | 0.326043 | − | 0.448759i | −0.614257 | − | 0.789106i | \(-0.710544\pi\) |
0.940300 | + | 0.340347i | \(0.110544\pi\) | |||||||
\(462\) | 2.05449 | − | 0.0587353i | 0.0955837 | − | 0.00273261i | ||||
\(463\) | −18.1431 | − | 35.6078i | −0.843181 | − | 1.65484i | −0.752153 | − | 0.658989i | \(-0.770985\pi\) |
−0.0910285 | − | 0.995848i | \(-0.529015\pi\) | |||||||
\(464\) | −4.24539 | −0.197087 | ||||||||
\(465\) | 21.4184 | + | 2.50055i | 0.993254 | + | 0.115960i | ||||
\(466\) | −19.5934 | −0.907648 | ||||||||
\(467\) | 8.10625 | + | 15.9094i | 0.375113 | + | 0.736200i | 0.998972 | − | 0.0453369i | \(-0.0144361\pi\) |
−0.623859 | + | 0.781537i | \(0.714436\pi\) | |||||||
\(468\) | 0.0818208 | + | 17.0392i | 0.00378217 | + | 0.787637i | ||||
\(469\) | −1.70219 | + | 2.34287i | −0.0785999 | + | 0.108184i | ||||
\(470\) | −24.9110 | + | 3.46279i | −1.14906 | + | 0.159727i | ||||
\(471\) | −1.22169 | − | 2.23724i | −0.0562924 | − | 0.103087i | ||||
\(472\) | −2.05626 | + | 1.66513i | −0.0946471 | + | 0.0766437i | ||||
\(473\) | 4.57901 | + | 0.725244i | 0.210543 | + | 0.0333468i | ||||
\(474\) | 1.62445 | + | 20.0258i | 0.0746135 | + | 0.919815i | ||||
\(475\) | −2.30034 | − | 4.35791i | −0.105547 | − | 0.199955i | ||||
\(476\) | 0.236574 | + | 0.531353i | 0.0108433 | + | 0.0243545i | ||||
\(477\) | 6.78436 | − | 9.43280i | 0.310635 | − | 0.431898i | ||||
\(478\) | 9.20867 | − | 5.98018i | 0.421195 | − | 0.273527i | ||||
\(479\) | 18.4319 | + | 8.20640i | 0.842174 | + | 0.374960i | 0.782038 | − | 0.623230i | \(-0.214180\pi\) |
0.0601356 | + | 0.998190i | \(0.480847\pi\) | |||||||
\(480\) | 2.24623 | − | 3.15507i | 0.102526 | − | 0.144009i | ||||
\(481\) | 7.58785 | + | 23.3530i | 0.345976 | + | 1.06481i | ||||
\(482\) | −16.1967 | + | 6.21732i | −0.737739 | + | 0.283191i | ||||
\(483\) | −1.33183 | − | 2.16169i | −0.0606005 | − | 0.0983602i | ||||
\(484\) | −2.77122 | − | 13.0376i | −0.125965 | − | 0.592617i | ||||
\(485\) | −24.7924 | + | 7.53901i | −1.12576 | + | 0.342329i | ||||
\(486\) | 12.7399 | − | 8.98298i | 0.577895 | − | 0.407476i | ||||
\(487\) | 9.20278 | − | 11.3645i | 0.417018 | − | 0.514974i | −0.524742 | − | 0.851262i | \(-0.675838\pi\) |
0.941759 | + | 0.336287i | \(0.109171\pi\) | |||||||
\(488\) | −13.5215 | − | 2.14160i | −0.612090 | − | 0.0969455i | ||||
\(489\) | −34.8657 | − | 4.50502i | −1.57668 | − | 0.203724i | ||||
\(490\) | 6.04383 | + | 14.2982i | 0.273032 | + | 0.645925i | ||||
\(491\) | −8.40161 | − | 4.85067i | −0.379160 | − | 0.218908i | 0.298293 | − | 0.954474i | \(-0.403583\pi\) |
−0.677453 | + | 0.735566i | \(0.736916\pi\) | |||||||
\(492\) | −12.3240 | + | 1.65260i | −0.555609 | + | 0.0745048i | ||||
\(493\) | 0.537169 | + | 10.2498i | 0.0241929 | + | 0.461627i | ||||
\(494\) | −1.72980 | + | 5.32378i | −0.0778274 | + | 0.239528i | ||||
\(495\) | −27.0412 | + | 19.0676i | −1.21541 | + | 0.857025i | ||||
\(496\) | 0.173882 | + | 5.56505i | 0.00780754 | + | 0.249878i | ||||
\(497\) | 0.557760 | − | 0.557760i | 0.0250189 | − | 0.0250189i | ||||
\(498\) | 11.4301 | + | 23.8165i | 0.512197 | + | 1.06724i | ||||
\(499\) | 5.48237 | + | 4.93635i | 0.245425 | + | 0.220981i | 0.782657 | − | 0.622453i | \(-0.213864\pi\) |
−0.537233 | + | 0.843434i | \(0.680530\pi\) | |||||||
\(500\) | 10.9254 | + | 2.37387i | 0.488599 | + | 0.106163i | ||||
\(501\) | −23.4130 | − | 14.2703i | −1.04601 | − | 0.637548i | ||||
\(502\) | 5.99148 | − | 22.3605i | 0.267413 | − | 0.997998i | ||||
\(503\) | −27.9839 | + | 22.6610i | −1.24774 | + | 1.01040i | −0.248616 | + | 0.968602i | \(0.579976\pi\) |
−0.999126 | + | 0.0417998i | \(0.986691\pi\) | |||||||
\(504\) | 0.603410 | − | 0.395991i | 0.0268780 | − | 0.0176388i | ||||
\(505\) | 9.11823 | − | 8.77889i | 0.405756 | − | 0.390655i | ||||
\(506\) | −22.3347 | + | 20.1103i | −0.992899 | + | 0.894010i | ||||
\(507\) | 30.8507 | + | 12.6921i | 1.37013 | + | 0.563676i | ||||
\(508\) | −0.617032 | + | 0.950146i | −0.0273764 | + | 0.0421559i | ||||
\(509\) | 1.47600 | + | 0.313733i | 0.0654224 | + | 0.0139060i | 0.240507 | − | 0.970648i | \(-0.422686\pi\) |
−0.175084 | + | 0.984553i | \(0.556020\pi\) | |||||||
\(510\) | −7.90160 | − | 5.02392i | −0.349889 | − | 0.222463i | ||||
\(511\) | 0.0529272 | + | 0.162893i | 0.00234136 | + | 0.00720597i | ||||
\(512\) | 0.891007 | + | 0.453990i | 0.0393773 | + | 0.0200637i | ||||
\(513\) | 4.89960 | − | 1.48980i | 0.216323 | − | 0.0657762i | ||||
\(514\) | −0.798192 | + | 3.75520i | −0.0352068 | + | 0.165635i | ||||
\(515\) | 1.39068 | + | 16.1759i | 0.0612807 | + | 0.712795i | ||||
\(516\) | 1.50257 | − | 0.626614i | 0.0661468 | − | 0.0275851i | ||||
\(517\) | −2.90351 | + | 55.4022i | −0.127696 | + | 2.43659i | ||||
\(518\) | 0.654540 | − | 0.808290i | 0.0287589 | − | 0.0355142i | ||||
\(519\) | −8.14766 | + | 5.62858i | −0.357643 | + | 0.247067i | ||||
\(520\) | −6.71398 | − | 10.7807i | −0.294427 | − | 0.472764i | ||||
\(521\) | −30.3541 | + | 17.5250i | −1.32984 | + | 0.767782i | −0.985274 | − | 0.170981i | \(-0.945306\pi\) |
−0.344563 | + | 0.938763i | \(0.611973\pi\) | |||||||
\(522\) | 12.4450 | − | 2.70779i | 0.544703 | − | 0.118517i | ||||
\(523\) | −18.3047 | + | 2.89919i | −0.800410 | + | 0.126773i | −0.543222 | − | 0.839589i | \(-0.682796\pi\) |
−0.257188 | + | 0.966361i | \(0.582796\pi\) | |||||||
\(524\) | 3.50032 | − | 3.88749i | 0.152912 | − | 0.169826i | ||||
\(525\) | 1.73669 | + | 1.15101i | 0.0757955 | + | 0.0502344i | ||||
\(526\) | −12.8710 | −0.561203 | ||||||||
\(527\) | 13.4139 | − | 1.12395i | 0.584317 | − | 0.0489602i | ||||
\(528\) | −5.89562 | − | 6.18289i | −0.256574 | − | 0.269076i | ||||
\(529\) | 13.4358 | + | 4.36555i | 0.584164 | + | 0.189807i | ||||
\(530\) | −0.617121 | + | 8.63841i | −0.0268060 | + | 0.375228i | ||||
\(531\) | 4.96570 | − | 6.19270i | 0.215493 | − | 0.268740i | ||||
\(532\) | 0.229026 | − | 0.0613674i | 0.00992956 | − | 0.00266062i | ||||
\(533\) | −10.5533 | + | 39.3856i | −0.457116 | + | 1.70598i | ||||
\(534\) | −12.7444 | − | 1.64671i | −0.551503 | − | 0.0712601i | ||||
\(535\) | 8.63931 | + | 15.6412i | 0.373510 | + | 0.676227i | ||||
\(536\) | 11.9714 | − | 1.25824i | 0.517084 | − | 0.0543477i | ||||
\(537\) | −5.19046 | − | 0.395961i | −0.223985 | − | 0.0170870i | ||||
\(538\) | −0.134825 | + | 0.351230i | −0.00581271 | + | 0.0151426i | ||||
\(539\) | 33.4933 | − | 7.11921i | 1.44266 | − | 0.306646i | ||||
\(540\) | −4.57226 | + | 10.6815i | −0.196759 | + | 0.459659i | ||||
\(541\) | 18.3136 | + | 8.15376i | 0.787365 | + | 0.350557i | 0.760714 | − | 0.649087i | \(-0.224849\pi\) |
0.0266510 | + | 0.999645i | \(0.491516\pi\) | |||||||
\(542\) | −9.88825 | − | 5.03832i | −0.424737 | − | 0.216414i | ||||
\(543\) | −23.1924 | − | 12.5205i | −0.995282 | − | 0.537304i | ||||
\(544\) | 0.983344 | − | 2.20863i | 0.0421605 | − | 0.0946941i | ||||
\(545\) | 3.97883 | + | 8.18907i | 0.170434 | + | 0.350781i | ||||
\(546\) | −0.436894 | − | 2.32609i | −0.0186973 | − | 0.0995474i | ||||
\(547\) | −9.02061 | − | 3.46269i | −0.385693 | − | 0.148054i | 0.157792 | − | 0.987472i | \(-0.449562\pi\) |
−0.543486 | + | 0.839419i | \(0.682896\pi\) | |||||||
\(548\) | 0.0432256 | − | 0.824794i | 0.00184651 | − | 0.0352335i | ||||
\(549\) | 41.0031 | − | 2.34637i | 1.74997 | − | 0.100140i | ||||
\(550\) | 9.70455 | − | 22.6725i | 0.413803 | − | 0.966759i | ||||
\(551\) | 4.16115 | + | 0.437354i | 0.177271 | + | 0.0186319i | ||||
\(552\) | −2.97312 | + | 10.1263i | −0.126545 | + | 0.431004i | ||||
\(553\) | −0.722288 | − | 2.69561i | −0.0307148 | − | 0.114629i | ||||
\(554\) | −12.8680 | − | 9.34911i | −0.546707 | − | 0.397206i | ||||
\(555\) | −1.58987 | + | 16.6680i | −0.0674862 | + | 0.707516i | ||||
\(556\) | 4.76559 | − | 14.6670i | 0.202106 | − | 0.622019i | ||||
\(557\) | 7.59945 | − | 7.59945i | 0.321999 | − | 0.321999i | −0.527534 | − | 0.849534i | \(-0.676883\pi\) |
0.849534 | + | 0.527534i | \(0.176883\pi\) | |||||||
\(558\) | −4.05921 | − | 16.2026i | −0.171840 | − | 0.685909i | ||||
\(559\) | − | 5.33856i | − | 0.225797i | ||||||
\(560\) | −0.228083 | + | 0.487210i | −0.00963827 | + | 0.0205884i | ||||
\(561\) | −14.1816 | + | 15.0163i | −0.598747 | + | 0.633989i | ||||
\(562\) | 2.37663 | + | 15.0054i | 0.100252 | + | 0.632966i | ||||
\(563\) | 22.8895 | − | 6.13322i | 0.964677 | − | 0.258485i | 0.258098 | − | 0.966119i | \(-0.416904\pi\) |
0.706579 | + | 0.707634i | \(0.250237\pi\) | |||||||
\(564\) | 9.33685 | + | 17.0983i | 0.393152 | + | 0.719969i | ||||
\(565\) | 10.1625 | − | 43.7185i | 0.427541 | − | 1.83925i | ||||
\(566\) | −11.0274 | − | 15.1779i | −0.463517 | − | 0.637977i | ||||
\(567\) | −1.51627 | + | 1.54568i | −0.0636775 | + | 0.0649125i | ||||
\(568\) | −3.27420 | − | 0.171594i | −0.137382 | − | 0.00719991i | ||||
\(569\) | 4.96729 | − | 2.21158i | 0.208240 | − | 0.0927143i | −0.299966 | − | 0.953950i | \(-0.596975\pi\) |
0.508206 | + | 0.861235i | \(0.330309\pi\) | |||||||
\(570\) | −2.52668 | + | 2.86106i | −0.105831 | + | 0.119836i | ||||
\(571\) | −21.2619 | − | 4.51936i | −0.889784 | − | 0.189129i | −0.259730 | − | 0.965681i | \(-0.583634\pi\) |
−0.630053 | + | 0.776552i | \(0.716967\pi\) | |||||||
\(572\) | −26.1544 | + | 10.0397i | −1.09357 | + | 0.419783i | ||||
\(573\) | 14.3612 | − | 26.6021i | 0.599947 | − | 1.11132i | ||||
\(574\) | 1.64259 | − | 0.533709i | 0.0685602 | − | 0.0222766i | ||||
\(575\) | −30.2500 | + | 3.62185i | −1.26151 | + | 0.151041i | ||||
\(576\) | −2.90147 | − | 0.762533i | −0.120895 | − | 0.0317722i | ||||
\(577\) | −35.1493 | − | 22.8262i | −1.46328 | − | 0.950268i | −0.997874 | − | 0.0651724i | \(-0.979240\pi\) |
−0.465410 | − | 0.885095i | \(-0.654093\pi\) | |||||||
\(578\) | 10.4141 | + | 3.99759i | 0.433169 | + | 0.166278i | ||||
\(579\) | −5.55647 | + | 4.76879i | −0.230919 | + | 0.198184i | ||||
\(580\) | −6.83860 | + | 6.58410i | −0.283957 | + | 0.273390i | ||||
\(581\) | −2.15679 | − | 2.96856i | −0.0894785 | − | 0.123157i | ||||
\(582\) | 12.2575 | + | 15.8951i | 0.508089 | + | 0.658872i | ||||
\(583\) | 18.4526 | + | 4.94437i | 0.764230 | + | 0.204775i | ||||
\(584\) | 0.355964 | − | 0.616547i | 0.0147299 | − | 0.0255129i | ||||
\(585\) | 26.5576 | + | 27.3203i | 1.09802 | + | 1.12956i | ||||
\(586\) | 13.9481 | − | 15.4910i | 0.576192 | − | 0.639926i | ||||
\(587\) | 3.80126 | + | 7.46040i | 0.156895 | + | 0.307924i | 0.956051 | − | 0.293200i | \(-0.0947201\pi\) |
−0.799156 | + | 0.601123i | \(0.794720\pi\) | |||||||
\(588\) | 8.70208 | − | 8.29777i | 0.358868 | − | 0.342194i | ||||
\(589\) | 0.402872 | − | 5.47253i | 0.0166000 | − | 0.225492i | ||||
\(590\) | −0.729870 | + | 5.87125i | −0.0300483 | + | 0.241716i | ||||
\(591\) | −28.6416 | − | 10.0652i | −1.17816 | − | 0.414027i | ||||
\(592\) | −4.31726 | + | 0.226258i | −0.177438 | + | 0.00929914i | ||||
\(593\) | 3.26521 | + | 20.6157i | 0.134086 | + | 0.846585i | 0.959428 | + | 0.281953i | \(0.0909821\pi\) |
−0.825342 | + | 0.564633i | \(0.809018\pi\) | |||||||
\(594\) | 21.2261 | + | 14.3643i | 0.870916 | + | 0.589373i | ||||
\(595\) | 1.20515 | + | 0.489022i | 0.0494062 | + | 0.0200479i | ||||
\(596\) | 9.22591 | + | 0.969682i | 0.377908 | + | 0.0397197i | ||||
\(597\) | −6.05354 | − | 1.10693i | −0.247755 | − | 0.0453037i | ||||
\(598\) | 26.8956 | + | 21.7797i | 1.09984 | + | 0.890636i | ||||
\(599\) | 0.481082 | + | 0.534295i | 0.0196565 | + | 0.0218307i | 0.752893 | − | 0.658143i | \(-0.228658\pi\) |
−0.733236 | + | 0.679974i | \(0.761991\pi\) | |||||||
\(600\) | −1.27485 | − | 8.56591i | −0.0520456 | − | 0.349702i | ||||
\(601\) | −3.56402 | + | 0.757555i | −0.145379 | + | 0.0309013i | −0.280026 | − | 0.959992i | \(-0.590343\pi\) |
0.134647 | + | 0.990894i | \(0.457010\pi\) | |||||||
\(602\) | −0.189646 | + | 0.123157i | −0.00772939 | + | 0.00501952i | ||||
\(603\) | −34.2905 | + | 11.3240i | −1.39642 | + | 0.461148i | ||||
\(604\) | 3.99537 | − | 1.29817i | 0.162569 | − | 0.0528220i | ||||
\(605\) | −24.6837 | − | 16.7035i | −1.00353 | − | 0.679093i | ||||
\(606\) | −8.85943 | − | 4.19965i | −0.359890 | − | 0.170599i | ||||
\(607\) | −5.58770 | − | 8.60430i | −0.226798 | − | 0.349238i | 0.706892 | − | 0.707322i | \(-0.250097\pi\) |
−0.933689 | + | 0.358084i | \(0.883430\pi\) | |||||||
\(608\) | −0.826556 | − | 0.536772i | −0.0335213 | − | 0.0217690i | ||||
\(609\) | −1.63276 | + | 0.680908i | −0.0661627 | + | 0.0275918i | ||||
\(610\) | −25.1022 | + | 17.5205i | −1.01636 | + | 0.709385i | ||||
\(611\) | 63.5345 | − | 6.67774i | 2.57033 | − | 0.270153i | ||||
\(612\) | −1.47389 | + | 7.10160i | −0.0595783 | + | 0.287065i | ||||
\(613\) | −17.2879 | − | 21.3488i | −0.698252 | − | 0.862270i | 0.297464 | − | 0.954733i | \(-0.403859\pi\) |
−0.995716 | + | 0.0924635i | \(0.970526\pi\) | |||||||
\(614\) | −16.3521 | − | 28.3227i | −0.659918 | − | 1.14301i | ||||
\(615\) | −17.2889 | + | 21.7751i | −0.697154 | + | 0.878057i | ||||
\(616\) | 0.960018 | + | 0.697494i | 0.0386802 | + | 0.0281028i | ||||
\(617\) | −1.58031 | − | 30.1542i | −0.0636211 | − | 1.21396i | −0.824802 | − | 0.565422i | \(-0.808713\pi\) |
0.761180 | − | 0.648540i | \(-0.224620\pi\) | |||||||
\(618\) | 11.3379 | − | 5.44135i | 0.456077 | − | 0.218883i | ||||
\(619\) | − | 26.6231i | − | 1.07007i | −0.844828 | − | 0.535037i | \(-0.820298\pi\) | ||
0.844828 | − | 0.535037i | \(-0.179702\pi\) | |||||||
\(620\) | 8.91082 | + | 8.69467i | 0.357867 | + | 0.349186i | ||||
\(621\) | 2.25670 | − | 31.5807i | 0.0905584 | − | 1.26729i | ||||
\(622\) | 14.7885 | − | 7.53514i | 0.592967 | − | 0.302132i | ||||
\(623\) | 1.78246 | − | 0.0934146i | 0.0714126 | − | 0.00374258i | ||||
\(624\) | −5.97006 | + | 7.81913i | −0.238994 | + | 0.313016i | ||||
\(625\) | 21.2806 | − | 13.1201i | 0.851223 | − | 0.524805i | ||||
\(626\) | 8.10052 | − | 4.67684i | 0.323762 | − | 0.186924i | ||||
\(627\) | 5.14168 | + | 6.66756i | 0.205339 | + | 0.266277i | ||||
\(628\) | 0.230226 | − | 1.45359i | 0.00918701 | − | 0.0580045i | ||||
\(629\) | 1.09252 | + | 10.3947i | 0.0435617 | + | 0.414462i | ||||
\(630\) | 0.357854 | − | 1.57369i | 0.0142573 | − | 0.0626973i | ||||
\(631\) | 27.7521 | − | 12.3560i | 1.10479 | − | 0.491886i | 0.228443 | − | 0.973557i | \(-0.426637\pi\) |
0.876352 | + | 0.481671i | \(0.159970\pi\) | |||||||
\(632\) | −6.31774 | + | 9.72847i | −0.251306 | + | 0.386978i | ||||
\(633\) | −36.4477 | + | 22.4557i | −1.44867 | + | 0.892536i | ||||
\(634\) | 10.6914 | − | 24.0132i | 0.424609 | − | 0.953687i | ||||
\(635\) | 0.479631 | + | 2.48747i | 0.0190336 | + | 0.0987121i | ||||
\(636\) | 6.42749 | − | 1.92071i | 0.254867 | − | 0.0761610i | ||||
\(637\) | −14.1304 | − | 36.8109i | −0.559867 | − | 1.45850i | ||||
\(638\) | 11.4048 | + | 17.5618i | 0.451520 | + | 0.695280i | ||||
\(639\) | 9.70749 | − | 1.58534i | 0.384022 | − | 0.0627149i | ||||
\(640\) | 2.13934 | − | 0.650544i | 0.0845650 | − | 0.0257150i | ||||
\(641\) | 26.3447 | − | 23.7208i | 1.04055 | − | 0.936916i | 0.0424863 | − | 0.999097i | \(-0.486472\pi\) |
0.998065 | + | 0.0621806i | \(0.0198055\pi\) | |||||||
\(642\) | 8.96365 | − | 10.5463i | 0.353767 | − | 0.416228i | ||||
\(643\) | 4.17631 | − | 26.3682i | 0.164698 | − | 1.03986i | −0.757414 | − | 0.652935i | \(-0.773537\pi\) |
0.922111 | − | 0.386925i | \(-0.126463\pi\) | |||||||
\(644\) | 0.153229 | − | 1.45788i | 0.00603808 | − | 0.0574485i | ||||
\(645\) | 1.44857 | − | 3.33967i | 0.0570375 | − | 0.131499i | ||||
\(646\) | −1.19136 | + | 2.06350i | −0.0468734 | + | 0.0811872i | ||||
\(647\) | 3.74343 | − | 0.592901i | 0.147169 | − | 0.0233093i | −0.0824150 | − | 0.996598i | \(-0.526263\pi\) |
0.229584 | + | 0.973289i | \(0.426263\pi\) | |||||||
\(648\) | 8.99177 | + | 0.384688i | 0.353230 | + | 0.0151120i | ||||
\(649\) | 12.4120 | + | 4.03291i | 0.487215 | + | 0.158306i | ||||
\(650\) | −27.5346 | − | 6.95325i | −1.08000 | − | 0.272729i | ||||
\(651\) | 0.959438 | + | 2.11240i | 0.0376033 | + | 0.0827915i | ||||
\(652\) | −14.3522 | − | 14.3522i | −0.562075 | − | 0.562075i | ||||
\(653\) | 17.2529 | − | 8.79077i | 0.675156 | − | 0.344009i | −0.0825668 | − | 0.996586i | \(-0.526312\pi\) |
0.757723 | + | 0.652576i | \(0.226312\pi\) | |||||||
\(654\) | 4.84220 | − | 5.12721i | 0.189345 | − | 0.200490i | ||||
\(655\) | −0.390633 | − | 11.6907i | −0.0152633 | − | 0.456792i | ||||
\(656\) | −6.21715 | − | 3.58947i | −0.242739 | − | 0.140145i | ||||
\(657\) | −0.650231 | + | 2.03439i | −0.0253679 | + | 0.0793693i | ||||
\(658\) | −1.70292 | − | 2.10293i | −0.0663868 | − | 0.0819809i | ||||
\(659\) | 22.4958 | − | 16.3442i | 0.876312 | − | 0.636678i | −0.0559612 | − | 0.998433i | \(-0.517822\pi\) |
0.932273 | + | 0.361755i | \(0.117822\pi\) | |||||||
\(660\) | −19.0858 | − | 0.816170i | −0.742913 | − | 0.0317694i | ||||
\(661\) | 30.6745 | + | 34.0675i | 1.19310 | + | 1.32507i | 0.933166 | + | 0.359446i | \(0.117034\pi\) |
0.259935 | + | 0.965626i | \(0.416299\pi\) | |||||||
\(662\) | 10.4835 | − | 27.3104i | 0.407451 | − | 1.06145i | ||||
\(663\) | 19.6334 | + | 13.4243i | 0.762496 | + | 0.521358i | ||||
\(664\) | −3.17107 | + | 14.9187i | −0.123061 | + | 0.578959i | ||||
\(665\) | 0.273749 | − | 0.454045i | 0.0106155 | − | 0.0176071i | ||||
\(666\) | 12.5114 | − | 3.41688i | 0.484805 | − | 0.132402i | ||||
\(667\) | 11.7439 | − | 23.0486i | 0.454724 | − | 0.892447i | ||||
\(668\) | −5.67312 | − | 14.7790i | −0.219499 | − | 0.571816i | ||||
\(669\) | 4.86113 | − | 20.4644i | 0.187942 | − | 0.791199i | ||||
\(670\) | 17.3324 | − | 20.5930i | 0.669610 | − | 0.795575i | ||||
\(671\) | 27.4650 | + | 61.6874i | 1.06027 | + | 2.38141i | ||||
\(672\) | 0.415491 | + | 0.0316963i | 0.0160279 | + | 0.00122271i | ||||
\(673\) | −33.7165 | − | 27.3031i | −1.29968 | − | 1.05246i | −0.994987 | − | 0.100005i | \(-0.968114\pi\) |
−0.304689 | − | 0.952452i | \(-0.598553\pi\) | |||||||
\(674\) | −9.53555 | + | 6.92798i | −0.367296 | + | 0.266856i | ||||
\(675\) | 9.20061 | + | 24.2971i | 0.354132 | + | 0.935196i | ||||
\(676\) | 9.63006 | + | 16.6797i | 0.370387 | + | 0.641529i | ||||
\(677\) | −0.965011 | − | 3.60147i | −0.0370884 | − | 0.138416i | 0.944899 | − | 0.327362i | \(-0.106160\pi\) |
−0.981987 | + | 0.188946i | \(0.939493\pi\) | |||||||
\(678\) | −34.4587 | + | 4.62076i | −1.32338 | + | 0.177459i | ||||
\(679\) | −2.07192 | − | 1.86556i | −0.0795128 | − | 0.0715937i | ||||
\(680\) | −1.84132 | − | 5.08277i | −0.0706114 | − | 0.194915i | ||||
\(681\) | −1.05636 | + | 44.4158i | −0.0404799 | + | 1.70202i | ||||
\(682\) | 22.5537 | − | 15.6692i | 0.863627 | − | 0.600005i | ||||
\(683\) | −32.1315 | − | 32.1315i | −1.22948 | − | 1.22948i | −0.964161 | − | 0.265319i | \(-0.914523\pi\) |
−0.265319 | − | 0.964161i | \(-0.585477\pi\) | |||||||
\(684\) | 2.76534 | + | 1.04631i | 0.105735 | + | 0.0400066i | ||||
\(685\) | −1.20953 | − | 1.39564i | −0.0462137 | − | 0.0533247i | ||||
\(686\) | −1.97155 | + | 2.71361i | −0.0752743 | + | 0.103606i | ||||
\(687\) | 10.2248 | − | 2.48075i | 0.390102 | − | 0.0946464i | ||||
\(688\) | 0.907893 | + | 0.243269i | 0.0346131 | + | 0.00927455i | ||||
\(689\) | 2.29944 | − | 21.8777i | 0.0876016 | − | 0.833473i | ||||
\(690\) | 10.9155 | + | 20.9227i | 0.415546 | + | 0.796514i | ||||
\(691\) | −0.824851 | − | 7.84793i | −0.0313788 | − | 0.298549i | −0.998945 | − | 0.0459304i | \(-0.985375\pi\) |
0.967566 | − | 0.252619i | \(-0.0812919\pi\) | |||||||
\(692\) | −5.70954 | − | 0.299225i | −0.217044 | − | 0.0113748i | ||||
\(693\) | −3.25909 | − | 1.43233i | −0.123802 | − | 0.0544096i | ||||
\(694\) | 1.94243 | + | 9.13843i | 0.0737337 | + | 0.346890i | ||||
\(695\) | −15.0702 | − | 31.0169i | −0.571645 | − | 1.17654i | ||||
\(696\) | 6.64451 | + | 3.14971i | 0.251859 | + | 0.119389i | ||||
\(697\) | −7.87952 | + | 15.4644i | −0.298458 | + | 0.585757i | ||||
\(698\) | −1.05293 | + | 2.06649i | −0.0398539 | + | 0.0782178i | ||||
\(699\) | 30.6659 | + | 14.5366i | 1.15989 | + | 0.549824i | ||||
\(700\) | 0.388202 | + | 1.13854i | 0.0146727 | + | 0.0430328i | ||||
\(701\) | −0.132447 | − | 0.623116i | −0.00500247 | − | 0.0235348i | 0.975576 | − | 0.219664i | \(-0.0704961\pi\) |
−0.980578 | + | 0.196129i | \(0.937163\pi\) | |||||||
\(702\) | 12.5135 | − | 26.7289i | 0.472292 | − | 1.00882i | ||||
\(703\) | 4.25489 | + | 0.222990i | 0.160476 | + | 0.00841021i | ||||
\(704\) | −0.515579 | − | 4.90541i | −0.0194316 | − | 0.184880i | ||||
\(705\) | 41.5575 | + | 13.0621i | 1.56515 | + | 0.491948i | ||||
\(706\) | −1.51092 | + | 14.3755i | −0.0568644 | + | 0.541028i | ||||
\(707\) | 1.31542 | + | 0.352467i | 0.0494716 | + | 0.0132559i | ||||
\(708\) | 4.45365 | − | 1.08054i | 0.167378 | − | 0.0406093i | ||||
\(709\) | −13.3689 | + | 18.4007i | −0.502078 | + | 0.691051i | −0.982558 | − | 0.185954i | \(-0.940462\pi\) |
0.480480 | + | 0.877006i | \(0.340462\pi\) | |||||||
\(710\) | −5.54030 | + | 4.80149i | −0.207924 | + | 0.180197i | ||||
\(711\) | 12.3149 | − | 32.5477i | 0.461845 | − | 1.22064i | ||||
\(712\) | −5.24612 | − | 5.24612i | −0.196607 | − | 0.196607i | ||||
\(713\) | −30.6942 | − | 14.4503i | −1.14951 | − | 0.541170i | ||||
\(714\) | 0.0239534 | − | 1.00714i | 0.000896432 | − | 0.0376914i | ||||
\(715\) | −26.5599 | + | 56.7347i | −0.993283 | + | 2.12176i | ||||
\(716\) | −2.23346 | − | 2.01102i | −0.0834684 | − | 0.0751553i | ||||
\(717\) | −18.8493 | + | 2.52762i | −0.703942 | + | 0.0943957i | ||||
\(718\) | −2.22099 | − | 8.28886i | −0.0828867 | − | 0.309337i | ||||
\(719\) | −6.57313 | − | 11.3850i | −0.245136 | − | 0.424589i | 0.717034 | − | 0.697039i | \(-0.245499\pi\) |
−0.962170 | + | 0.272450i | \(0.912166\pi\) | |||||||
\(720\) | −5.85637 | + | 3.27153i | −0.218254 | + | 0.121923i | ||||
\(721\) | −1.41319 | + | 1.02674i | −0.0526300 | + | 0.0382379i | ||||
\(722\) | −14.0109 | − | 11.3458i | −0.521432 | − | 0.422248i | ||||
\(723\) | 29.9623 | + | 2.28571i | 1.11431 | + | 0.0850066i | ||||
\(724\) | −6.18922 | − | 13.9012i | −0.230020 | − | 0.516634i | ||||
\(725\) | −0.804659 | + | 21.2117i | −0.0298843 | + | 0.787783i | ||||
\(726\) | −5.33546 | + | 22.4612i | −0.198018 | + | 0.833615i | ||||
\(727\) | 16.8430 | + | 43.8776i | 0.624673 | + | 1.62733i | 0.770072 | + | 0.637957i | \(0.220220\pi\) |
−0.145399 | + | 0.989373i | \(0.546447\pi\) | |||||||
\(728\) | 0.620356 | − | 1.21752i | 0.0229919 | − | 0.0451242i | ||||
\(729\) | −26.6040 | + | 4.60744i | −0.985332 | + | 0.170646i | ||||
\(730\) | −0.382795 | − | 1.54521i | −0.0141679 | − | 0.0571907i | ||||
\(731\) | 0.472457 | − | 2.22274i | 0.0174745 | − | 0.0822108i | ||||
\(732\) | 19.5738 | + | 13.3836i | 0.723467 | + | 0.494672i | ||||
\(733\) | −10.1715 | + | 26.4977i | −0.375694 | + | 0.978717i | 0.607201 | + | 0.794549i | \(0.292292\pi\) |
−0.982895 | + | 0.184168i | \(0.941041\pi\) | |||||||
\(734\) | 7.30443 | + | 8.11239i | 0.269611 | + | 0.299434i | ||||
\(735\) | 1.14871 | − | 26.8622i | 0.0423710 | − | 0.990826i | ||||
\(736\) | −4.92951 | + | 3.58150i | −0.181704 | + | 0.132016i | ||||
\(737\) | −37.3647 | − | 46.1416i | −1.37635 | − | 1.69965i | ||||
\(738\) | 20.5145 | + | 6.55682i | 0.755149 | + | 0.241360i | ||||
\(739\) | 7.26803 | + | 4.19620i | 0.267359 | + | 0.154360i | 0.627687 | − | 0.778466i | \(-0.284002\pi\) |
−0.360328 | + | 0.932826i | \(0.617335\pi\) | |||||||
\(740\) | −6.60346 | + | 7.06002i | −0.242748 | + | 0.259531i | ||||
\(741\) | 6.65710 | − | 7.04894i | 0.244555 | − | 0.258949i | ||||
\(742\) | −0.830225 | + | 0.423021i | −0.0304785 | + | 0.0155296i | ||||
\(743\) | −7.63369 | − | 7.63369i | −0.280053 | − | 0.280053i | 0.553077 | − | 0.833130i | \(-0.313453\pi\) |
−0.833130 | + | 0.553077i | \(0.813453\pi\) | |||||||
\(744\) | 3.85663 | − | 8.83891i | 0.141391 | − | 0.324050i | ||||
\(745\) | 16.3652 | − | 12.7463i | 0.599575 | − | 0.466988i | ||||
\(746\) | 19.8907 | + | 6.46289i | 0.728251 | + | 0.236623i | ||||
\(747\) | −0.219714 | − | 45.7555i | −0.00803891 | − | 1.67411i | ||||
\(748\) | −11.7780 | + | 1.86546i | −0.430648 | + | 0.0682079i | ||||
\(749\) | −0.961247 | + | 1.66493i | −0.0351232 | + | 0.0608351i | ||||
\(750\) | −15.3383 | − | 11.8211i | −0.560074 | − | 0.431644i | ||||
\(751\) | 2.12136 | − | 20.1834i | 0.0774097 | − | 0.736504i | −0.885126 | − | 0.465351i | \(-0.845928\pi\) |
0.962536 | − | 0.271153i | \(-0.0874051\pi\) | |||||||
\(752\) | −1.75952 | + | 11.1092i | −0.0641631 | + | 0.405110i | ||||
\(753\) | −25.9668 | + | 30.5515i | −0.946284 | + | 1.11336i | ||||
\(754\) | 17.9194 | − | 16.1347i | 0.652588 | − | 0.587592i | ||||
\(755\) | 4.42254 | − | 8.28748i | 0.160953 | − | 0.301612i | ||||
\(756\) | −1.23819 | + | 0.172093i | −0.0450326 | + | 0.00625896i | ||||
\(757\) | −5.07275 | − | 7.81135i | −0.184372 | − | 0.283908i | 0.734384 | − | 0.678735i | \(-0.237471\pi\) |
−0.918756 | + | 0.394827i | \(0.870805\pi\) | |||||||
\(758\) | 11.1615 | + | 29.0766i | 0.405403 | + | 1.05611i | ||||
\(759\) | 49.8763 | − | 14.9044i | 1.81040 | − | 0.540995i | ||||
\(760\) | −2.16391 | + | 0.417243i | −0.0784932 | + | 0.0151350i | ||||
\(761\) | 15.5510 | − | 34.9280i | 0.563722 | − | 1.26614i | −0.376764 | − | 0.926309i | \(-0.622963\pi\) |
0.940486 | − | 0.339832i | \(-0.110370\pi\) | |||||||
\(762\) | 1.67065 | − | 1.02930i | 0.0605212 | − | 0.0372876i | ||||
\(763\) | −0.533508 | + | 0.821531i | −0.0193143 | + | 0.0297414i | ||||
\(764\) | 15.9449 | − | 7.09914i | 0.576867 | − | 0.256838i | ||||
\(765\) | 8.63955 | + | 13.7253i | 0.312364 | + | 0.496238i | ||||
\(766\) | 2.00267 | + | 19.0541i | 0.0723594 | + | 0.688453i | ||||
\(767\) | 2.35094 | − | 14.8432i | 0.0848874 | − | 0.535958i | ||||
\(768\) | −1.05770 | − | 1.37159i | −0.0381665 | − | 0.0494931i | ||||
\(769\) | 1.95790 | − | 1.13039i | 0.0706036 | − | 0.0407630i | −0.464283 | − | 0.885687i | \(-0.653688\pi\) |
0.534886 | + | 0.844924i | \(0.320354\pi\) | |||||||
\(770\) | 2.62815 | − | 0.365331i | 0.0947121 | − | 0.0131656i | ||||
\(771\) | 4.03528 | − | 5.28511i | 0.145327 | − | 0.190339i | ||||
\(772\) | −4.22172 | + | 0.221251i | −0.151943 | + | 0.00796300i | ||||
\(773\) | −6.68681 | + | 3.40710i | −0.240508 | + | 0.122545i | −0.570091 | − | 0.821582i | \(-0.693092\pi\) |
0.329583 | + | 0.944127i | \(0.393092\pi\) | |||||||
\(774\) | −2.81657 | − | 0.134052i | −0.101240 | − | 0.00481839i | ||||
\(775\) | 27.8382 | + | 0.185996i | 0.999978 | + | 0.00668119i | ||||
\(776\) | 11.5888i | 0.416013i | ||||||||
\(777\) | −1.62411 | + | 0.779451i | −0.0582645 | + | 0.0279627i | ||||
\(778\) | 0.424861 | + | 8.10683i | 0.0152320 | + | 0.290644i | ||||
\(779\) | 5.72400 | + | 4.15873i | 0.205083 | + | 0.149002i | ||||
\(780\) | 2.50980 | + | 21.8541i | 0.0898653 | + | 0.782503i | ||||
\(781\) | 8.08597 | + | 14.0053i | 0.289339 | + | 0.501149i | ||||
\(782\) | 9.27065 | + | 11.4483i | 0.331518 | + | 0.409390i | ||||
\(783\) | −21.4867 | − | 4.99510i | −0.767873 | − | 0.178510i | ||||
\(784\) | 6.90409 | − | 0.725649i | 0.246575 | − | 0.0259160i | ||||
\(785\) | −1.88349 | − | 2.69854i | −0.0672246 | − | 0.0963149i | ||||
\(786\) | −8.36255 | + | 3.48743i | −0.298282 | + | 0.124392i | ||||
\(787\) | 32.2104 | + | 20.9177i | 1.14818 | + | 0.745636i | 0.971126 | − | 0.238566i | \(-0.0766772\pi\) |
0.177052 | + | 0.984201i | \(0.443344\pi\) | |||||||
\(788\) | −9.54622 | − | 14.6999i | −0.340070 | − | 0.523662i | ||||
\(789\) | 20.1446 | + | 9.54916i | 0.717165 | + | 0.339959i | ||||
\(790\) | 4.91090 | + | 25.4690i | 0.174722 | + | 0.906145i | ||||
\(791\) | 4.59278 | − | 1.49228i | 0.163300 | − | 0.0530595i | ||||
\(792\) | 4.64014 | + | 14.0509i | 0.164880 | + | 0.499278i | ||||
\(793\) | 65.2123 | − | 42.3494i | 2.31576 | − | 1.50387i | ||||
\(794\) | 35.8821 | − | 7.62698i | 1.27341 | − | 0.270672i | ||||
\(795\) | 7.37479 | − | 13.0622i | 0.261557 | − | 0.463268i | ||||
\(796\) | −2.37740 | − | 2.64037i | −0.0842646 | − | 0.0935853i | ||||
\(797\) | 0.203172 | + | 0.164525i | 0.00719672 | + | 0.00582779i | 0.632912 | − | 0.774224i | \(-0.281859\pi\) |
−0.625715 | + | 0.780052i | \(0.715193\pi\) | |||||||
\(798\) | −0.403981 | − | 0.0738706i | −0.0143008 | − | 0.00261499i | ||||
\(799\) | 27.0439 | + | 2.84242i | 0.956743 | + | 0.100558i | ||||
\(800\) | 2.43720 | − | 4.36578i | 0.0861680 | − | 0.154354i | ||||
\(801\) | 18.7246 | + | 12.0325i | 0.661602 | + | 0.425147i | ||||
\(802\) | 2.13386 | + | 13.4726i | 0.0753491 | + | 0.475736i | ||||
\(803\) | −3.50672 | + | 0.183779i | −0.123749 | + | 0.00648543i | ||||
\(804\) | −19.6700 | − | 6.91240i | −0.693707 | − | 0.243782i | ||||
\(805\) | −2.01417 | − | 2.58603i | −0.0709902 | − | 0.0911457i | ||||
\(806\) | −21.8841 | − | 22.8287i | −0.770833 | − | 0.804108i | ||||
\(807\) | 0.471597 | − | 0.449686i | 0.0166010 | − | 0.0158297i | ||||
\(808\) | −2.56985 | − | 5.04362i | −0.0904070 | − | 0.177434i | ||||
\(809\) | −19.4468 | + | 21.5978i | −0.683712 | + | 0.759339i | −0.980695 | − | 0.195544i | \(-0.937353\pi\) |
0.296983 | + | 0.954883i | \(0.404019\pi\) | |||||||
\(810\) | 15.0808 | − | 13.3255i | 0.529886 | − | 0.468211i | ||||
\(811\) | 17.5365 | − | 30.3741i | 0.615789 | − | 1.06658i | −0.374456 | − | 0.927245i | \(-0.622171\pi\) |
0.990245 | − | 0.139334i | \(-0.0444961\pi\) | |||||||
\(812\) | −0.986558 | − | 0.264348i | −0.0346214 | − | 0.00927678i | ||||
\(813\) | 11.7382 | + | 15.2217i | 0.411677 | + | 0.533849i | ||||
\(814\) | 12.5338 | + | 17.2513i | 0.439310 | + | 0.604658i | ||||
\(815\) | −45.3774 | − | 0.860379i | −1.58950 | − | 0.0301378i | ||||
\(816\) | −3.17765 | + | 2.72719i | −0.111240 | + | 0.0954707i | ||||
\(817\) | −0.864816 | − | 0.331972i | −0.0302561 | − | 0.0116142i | ||||
\(818\) | −27.2869 | − | 17.7203i | −0.954064 | − | 0.619576i | ||||
\(819\) | −1.04196 | + | 3.96472i | −0.0364092 | + | 0.138539i | ||||
\(820\) | −15.5816 | + | 3.86004i | −0.544134 | + | 0.134798i | ||||
\(821\) | 24.6473 | − | 8.00839i | 0.860197 | − | 0.279495i | 0.154486 | − | 0.987995i | \(-0.450628\pi\) |
0.705711 | + | 0.708500i | \(0.250628\pi\) | |||||||
\(822\) | −0.679577 | + | 1.25882i | −0.0237030 | + | 0.0439065i | ||||
\(823\) | 17.8896 | − | 6.86718i | 0.623592 | − | 0.239375i | −0.0259945 | − | 0.999662i | \(-0.508275\pi\) |
0.649587 | + | 0.760287i | \(0.274942\pi\) | |||||||
\(824\) | 7.10210 | + | 1.50960i | 0.247413 | + | 0.0525893i | ||||
\(825\) | −32.0097 | + | 28.2850i | −1.11443 | + | 0.984759i | ||||
\(826\) | −0.581523 | + | 0.258911i | −0.0202338 | + | 0.00900865i | ||||
\(827\) | 9.64540 | + | 0.505494i | 0.335403 | + | 0.0175777i | 0.219294 | − | 0.975659i | \(-0.429624\pi\) |
0.116109 | + | 0.993236i | \(0.462958\pi\) | |||||||
\(828\) | 12.1661 | − | 13.6430i | 0.422801 | − | 0.474127i | ||||
\(829\) | −12.1482 | − | 16.7206i | −0.421924 | − | 0.580729i | 0.544152 | − | 0.838987i | \(-0.316852\pi\) |
−0.966076 | + | 0.258258i | \(0.916852\pi\) | |||||||
\(830\) | 18.0291 | + | 28.9495i | 0.625799 | + | 1.00485i | ||||
\(831\) | 13.2035 | + | 24.1793i | 0.458026 | + | 0.838769i | ||||
\(832\) | −5.48626 | + | 1.47004i | −0.190202 | + | 0.0509645i | ||||
\(833\) | −2.62553 | − | 16.5769i | −0.0909692 | − | 0.574357i | ||||
\(834\) | −18.3403 | + | 19.4198i | −0.635072 | + | 0.672452i | ||||
\(835\) | −32.0588 | − | 15.0081i | −1.10944 | − | 0.519375i | ||||
\(836\) | 4.86118i | 0.168127i | ||||||||
\(837\) | −5.66775 | + | 28.3703i | −0.195906 | + | 0.980623i | ||||
\(838\) | −14.6929 | + | 14.6929i | −0.507557 | + | 0.507557i | ||||
\(839\) | 8.77254 | − | 26.9991i | 0.302862 | − | 0.932112i | −0.677605 | − | 0.735426i | \(-0.736982\pi\) |
0.980467 | − | 0.196686i | \(-0.0630179\pi\) | |||||||
\(840\) | 0.718442 | − | 0.593320i | 0.0247886 | − | 0.0204715i | ||||
\(841\) | 8.88028 | + | 6.45190i | 0.306216 | + | 0.222479i | ||||
\(842\) | 4.62053 | + | 17.2440i | 0.159234 | + | 0.594269i | ||||
\(843\) | 7.41302 | − | 25.2484i | 0.255318 | − | 0.869601i | ||||
\(844\) | −24.5810 | − | 2.58356i | −0.846112 | − | 0.0889299i | ||||
\(845\) | 41.3807 | + | 11.9331i | 1.42354 | + | 0.410513i | ||||
\(846\) | −1.92776 | − | 33.6879i | −0.0662777 | − | 1.15821i | ||||
\(847\) | 0.167824 | − | 3.20227i | 0.00576650 | − | 0.110031i | ||||
\(848\) | 3.61581 | + | 1.38798i | 0.124167 | + | 0.0476634i | ||||
\(849\) | 5.99843 | + | 31.9365i | 0.205866 | + | 1.09606i | ||||
\(850\) | −10.8488 | − | 5.33180i | −0.372111 | − | 0.182879i | ||||
\(851\) | 10.7143 | − | 24.0647i | 0.367281 | − | 0.824926i | ||||
\(852\) | 4.99718 | + | 2.69773i | 0.171200 | + | 0.0924228i | ||||
\(853\) | −0.287677 | − | 0.146579i | −0.00984988 | − | 0.00501876i | 0.449059 | − | 0.893502i | \(-0.351759\pi\) |
−0.458909 | + | 0.888484i | \(0.651759\pi\) | |||||||
\(854\) | −3.00882 | − | 1.33961i | −0.102960 | − | 0.0458406i | ||||
\(855\) | 6.07719 | − | 2.60329i | 0.207835 | − | 0.0890307i | ||||
\(856\) | 7.81643 | − | 1.66143i | 0.267160 | − | 0.0567866i | ||||
\(857\) | 4.85716 | − | 12.6533i | 0.165918 | − | 0.432230i | −0.825263 | − | 0.564749i | \(-0.808973\pi\) |
0.991181 | + | 0.132519i | \(0.0423064\pi\) | |||||||
\(858\) | 48.3832 | + | 3.69098i | 1.65177 | + | 0.126008i | ||||
\(859\) | −15.3345 | + | 1.61172i | −0.523206 | + | 0.0549912i | −0.362450 | − | 0.932003i | \(-0.618060\pi\) |
−0.160756 | + | 0.986994i | \(0.551393\pi\) | |||||||
\(860\) | 1.83974 | − | 1.01617i | 0.0627347 | − | 0.0346511i | ||||
\(861\) | −2.96679 | − | 0.383341i | −0.101108 | − | 0.0130642i | ||||
\(862\) | 3.01271 | − | 11.2436i | 0.102613 | − | 0.382958i | ||||
\(863\) | −17.8688 | + | 4.78793i | −0.608261 | + | 0.162983i | −0.549786 | − | 0.835306i | \(-0.685291\pi\) |
−0.0584755 | + | 0.998289i | \(0.518624\pi\) | |||||||
\(864\) | 3.97539 | + | 3.34608i | 0.135245 | + | 0.113836i | ||||
\(865\) | −9.66116 | + | 8.37282i | −0.328489 | + | 0.284685i | ||||
\(866\) | 32.2984 | + | 10.4944i | 1.09754 | + | 0.356614i | ||||
\(867\) | −13.3333 | − | 13.9830i | −0.452823 | − | 0.474888i | ||||
\(868\) | −0.306111 | + | 1.30405i | −0.0103901 | + | 0.0442624i | ||||
\(869\) | 57.2155 | 1.94090 | ||||||||
\(870\) | 15.5880 | − | 5.23120i | 0.528482 | − | 0.177354i | ||||
\(871\) | −45.7481 | + | 50.8084i | −1.55011 | + | 1.72158i | ||||
\(872\) | 4.02153 | − | 0.636948i | 0.136186 | − | 0.0215698i | ||||
\(873\) | −7.39154 | − | 33.9715i | −0.250166 | − | 1.14976i | ||||
\(874\) | 5.20065 | − | 3.00260i | 0.175915 | − | 0.101564i | ||||
\(875\) | 2.39107 | + | 1.23194i | 0.0808329 | + | 0.0416472i | ||||
\(876\) | −1.01455 | + | 0.700870i | −0.0342783 | + | 0.0236802i | ||||
\(877\) | −33.4915 | + | 41.3585i | −1.13093 | + | 1.39658i | −0.224365 | + | 0.974505i | \(0.572031\pi\) |
−0.906562 | + | 0.422073i | \(0.861303\pi\) | |||||||
\(878\) | −0.156032 | + | 2.97726i | −0.00526582 | + | 0.100478i | ||||
\(879\) | −33.3233 | + | 13.8968i | −1.12397 | + | 0.468727i | ||||
\(880\) | −8.43821 | − | 7.10217i | −0.284452 | − | 0.239414i | ||||
\(881\) | −8.19805 | + | 38.5688i | −0.276199 | + | 1.29942i | 0.593099 | + | 0.805129i | \(0.297904\pi\) |
−0.869299 | + | 0.494287i | \(0.835429\pi\) | |||||||
\(882\) | −19.7759 | + | 6.53074i | −0.665890 | + | 0.219901i | ||||
\(883\) | 19.7688 | + | 10.0727i | 0.665273 | + | 0.338974i | 0.753804 | − | 0.657100i | \(-0.228217\pi\) |
−0.0885303 | + | 0.996073i | \(0.528217\pi\) | |||||||
\(884\) | 4.24334 | + | 13.0597i | 0.142719 | + | 0.439244i | ||||
\(885\) | 5.49827 | − | 8.64765i | 0.184822 | − | 0.290688i | ||||
\(886\) | −11.1514 | − | 2.37031i | −0.374640 | − | 0.0796321i | ||||
\(887\) | −24.1224 | + | 37.1452i | −0.809950 | + | 1.24721i | 0.155813 | + | 0.987787i | \(0.450200\pi\) |
−0.965763 | + | 0.259427i | \(0.916466\pi\) | |||||||
\(888\) | 6.92484 | + | 2.84890i | 0.232383 | + | 0.0956030i | ||||
\(889\) | −0.202551 | + | 0.182377i | −0.00679333 | + | 0.00611674i | ||||
\(890\) | −16.5867 | − | 0.314493i | −0.555988 | − | 0.0105418i | ||||
\(891\) | −22.5641 | − | 38.2295i | −0.755926 | − | 1.28074i | ||||
\(892\) | 9.43757 | − | 7.64240i | 0.315993 | − | 0.255886i | ||||
\(893\) | 2.86906 | − | 10.7075i | 0.0960093 | − | 0.358312i | ||||
\(894\) | −13.7201 | − | 8.36247i | −0.458870 | − | 0.279683i | ||||
\(895\) | −6.71658 | + | 0.224428i | −0.224510 | + | 0.00750181i | ||||
\(896\) | 0.178786 | + | 0.160980i | 0.00597283 | + | 0.00537796i | ||||
\(897\) | −25.9360 | − | 54.0417i | −0.865979 | − | 1.80440i | ||||
\(898\) | −25.2240 | + | 25.2240i | −0.841735 | + | 0.841735i | ||||
\(899\) | −13.2897 | + | 19.5476i | −0.443236 | + | 0.651949i | ||||
\(900\) | −4.35986 | + | 14.3524i | −0.145329 | + | 0.478414i | ||||
\(901\) | 2.89353 | − | 8.90538i | 0.0963976 | − | 0.296681i | ||||
\(902\) | 1.85320 | + | 35.3611i | 0.0617047 | + | 1.17740i | ||||
\(903\) | 0.388188 | − | 0.0520545i | 0.0129181 | − | 0.00173226i | ||||
\(904\) | −17.3836 | − | 10.0364i | −0.578168 | − | 0.333806i | ||||
\(905\) | −31.5289 | − | 12.7937i | −1.04806 | − | 0.425278i | ||||
\(906\) | −7.21632 | − | 0.932426i | −0.239746 | − | 0.0309778i | ||||
\(907\) | −9.02693 | − | 1.42973i | −0.299734 | − | 0.0474733i | 0.00475597 | − | 0.999989i | \(-0.498486\pi\) |
−0.304490 | + | 0.952515i | \(0.598486\pi\) | |||||||
\(908\) | −16.1425 | + | 19.9343i | −0.535708 | + | 0.661544i | ||||
\(909\) | 10.7502 | + | 13.1458i | 0.356562 | + | 0.436020i | ||||
\(910\) | −0.888937 | − | 2.92331i | −0.0294680 | − | 0.0969067i | ||||
\(911\) | −9.58213 | − | 45.0804i | −0.317470 | − | 1.49358i | −0.790461 | − | 0.612513i | \(-0.790159\pi\) |
0.472991 | − | 0.881068i | \(-0.343174\pi\) | |||||||
\(912\) | 0.895413 | + | 1.45334i | 0.0296501 | + | 0.0481248i | ||||
\(913\) | 70.2327 | − | 26.9598i | 2.32436 | − | 0.892240i | ||||
\(914\) | 4.91725 | + | 15.1337i | 0.162648 | + | 0.500580i | ||||
\(915\) | 52.2864 | − | 8.79790i | 1.72853 | − | 0.290850i | ||||
\(916\) | 5.54941 | + | 2.47075i | 0.183358 | + | 0.0816360i | ||||
\(917\) | 1.05548 | − | 0.685435i | 0.0348549 | − | 0.0226351i | ||||
\(918\) | 7.57555 | − | 10.0213i | 0.250030 | − | 0.330752i | ||||
\(919\) | −1.27689 | − | 2.86794i | −0.0421207 | − | 0.0946047i | 0.891260 | − | 0.453493i | \(-0.149822\pi\) |
−0.933380 | + | 0.358889i | \(0.883156\pi\) | |||||||
\(920\) | −2.38612 | + | 13.4143i | −0.0786680 | + | 0.442255i | ||||
\(921\) | 4.57992 | + | 56.4600i | 0.150913 | + | 1.86042i | ||||
\(922\) | −11.7632 | − | 1.86311i | −0.387401 | − | 0.0613583i | ||||
\(923\) | 14.4723 | − | 11.7194i | 0.476361 | − | 0.385749i | ||||
\(924\) | −0.985055 | − | 1.80390i | −0.0324059 | − | 0.0593440i | ||||
\(925\) | 0.312196 | + | 21.6137i | 0.0102650 | + | 0.710653i | ||||
\(926\) | −23.4900 | + | 32.3312i | −0.771930 | + | 1.06247i | ||||
\(927\) | −21.7820 | + | 0.104595i | −0.715416 | + | 0.00343536i | ||||
\(928\) | 1.92737 | + | 3.78267i | 0.0632690 | + | 0.124172i | ||||
\(929\) | 25.6149 | 0.840396 | 0.420198 | − | 0.907432i | \(-0.361961\pi\) | ||||
0.420198 | + | 0.907432i | \(0.361961\pi\) | |||||||
\(930\) | −7.49574 | − | 20.2191i | −0.245795 | − | 0.663012i | ||||
\(931\) | −6.84184 | −0.224232 | ||||||||
\(932\) | 8.89523 | + | 17.4579i | 0.291373 | + | 0.571852i | ||||
\(933\) | −28.7361 | + | 0.821527i | −0.940778 | + | 0.0268956i | ||||
\(934\) | 10.4952 | − | 14.4454i | 0.343414 | − | 0.472669i | ||||
\(935\) | −16.0793 | + | 21.2713i | −0.525849 | + | 0.695645i | ||||
\(936\) | 15.1449 | − | 7.80854i | 0.495026 | − | 0.255230i | ||||
\(937\) | 9.39014 | − | 7.60398i | 0.306762 | − | 0.248411i | −0.463561 | − | 0.886065i | \(-0.653428\pi\) |
0.770323 | + | 0.637654i | \(0.220095\pi\) | |||||||
\(938\) | 2.86029 | + | 0.453025i | 0.0933917 | + | 0.0147918i | ||||
\(939\) | −16.1480 | + | 1.30989i | −0.526970 | + | 0.0427467i | ||||
\(940\) | 14.3947 | + | 20.6238i | 0.469504 | + | 0.672674i | ||||
\(941\) | 1.22335 | + | 2.74768i | 0.0398799 | + | 0.0895718i | 0.932387 | − | 0.361462i | \(-0.117722\pi\) |
−0.892507 | + | 0.451033i | \(0.851056\pi\) | |||||||
\(942\) | −1.43876 | + | 2.10422i | −0.0468774 | + | 0.0685591i | ||||
\(943\) | 36.6858 | − | 23.8241i | 1.19466 | − | 0.775818i | ||||
\(944\) | 2.41716 | + | 1.07619i | 0.0786719 | + | 0.0350270i | ||||
\(945\) | −1.72762 | + | 2.19750i | −0.0561995 | + | 0.0714847i | ||||
\(946\) | −1.43263 | − | 4.40918i | −0.0465788 | − | 0.143355i | ||||
\(947\) | −32.5042 | + | 12.4772i | −1.05625 | + | 0.405455i | −0.823638 | − | 0.567116i | \(-0.808059\pi\) |
−0.232608 | + | 0.972571i | \(0.574726\pi\) | |||||||
\(948\) | 17.1056 | − | 10.5389i | 0.555565 | − | 0.342288i | ||||
\(949\) | 0.840712 | + | 3.95524i | 0.0272907 | + | 0.128393i | ||||
\(950\) | −2.83859 | + | 4.02807i | −0.0920961 | + | 0.130688i | ||||
\(951\) | −34.5488 | + | 29.6513i | −1.12032 | + | 0.961508i | ||||
\(952\) | 0.366037 | − | 0.452018i | 0.0118633 | − | 0.0146500i | ||||
\(953\) | −5.22763 | − | 0.827975i | −0.169340 | − | 0.0268208i | 0.0711888 | − | 0.997463i | \(-0.477321\pi\) |
−0.240528 | + | 0.970642i | \(0.577321\pi\) | |||||||
\(954\) | −11.4847 | − | 1.76251i | −0.371831 | − | 0.0570634i | ||||
\(955\) | 14.6746 | − | 36.1642i | 0.474860 | − | 1.17025i | ||||
\(956\) | −9.50903 | − | 5.49004i | −0.307544 | − | 0.177561i | ||||
\(957\) | −4.82042 | − | 35.9476i | −0.155822 | − | 1.16202i | ||||
\(958\) | −1.05594 | − | 20.1486i | −0.0341159 | − | 0.650970i | ||||
\(959\) | 0.0614023 | − | 0.188977i | 0.00198278 | − | 0.00610238i | ||||
\(960\) | −3.83095 | − | 0.569031i | −0.123643 | − | 0.0183654i | ||||
\(961\) | 26.1682 | + | 16.6201i | 0.844134 | + | 0.536132i | ||||
\(962\) | 17.3629 | − | 17.3629i | 0.559801 | − | 0.559801i | ||||
\(963\) | −21.8535 | + | 9.85581i | −0.704219 | + | 0.317599i | ||||
\(964\) | 12.8928 | + | 11.6087i | 0.415250 | + | 0.373892i | ||||
\(965\) | −6.45734 | + | 6.90379i | −0.207869 | + | 0.222241i | ||||
\(966\) | −1.32144 | + | 2.16806i | −0.0425166 | + | 0.0697561i | ||||
\(967\) | −7.79720 | + | 29.0995i | −0.250741 | + | 0.935778i | 0.719670 | + | 0.694317i | \(0.244293\pi\) |
−0.970410 | + | 0.241461i | \(0.922373\pi\) | |||||||
\(968\) | −10.3585 | + | 8.38811i | −0.332933 | + | 0.269604i | ||||
\(969\) | 3.39554 | − | 2.34571i | 0.109081 | − | 0.0753552i | ||||
\(970\) | 17.9728 | + | 18.6675i | 0.577072 | + | 0.599378i | ||||
\(971\) | 0.535490 | − | 0.482157i | 0.0171847 | − | 0.0154732i | −0.660494 | − | 0.750832i | \(-0.729653\pi\) |
0.677678 | + | 0.735359i | \(0.262986\pi\) | |||||||
\(972\) | −13.7877 | − | 7.27318i | −0.442241 | − | 0.233287i | ||||
\(973\) | 2.02071 | − | 3.11162i | 0.0647810 | − | 0.0997540i | ||||
\(974\) | −14.3038 | − | 3.04037i | −0.458324 | − | 0.0974197i | ||||
\(975\) | 37.9360 | + | 31.3108i | 1.21492 | + | 1.00275i | ||||
\(976\) | 4.23046 | + | 13.0200i | 0.135414 | + | 0.416761i | ||||
\(977\) | 32.2957 | + | 16.4555i | 1.03323 | + | 0.526458i | 0.886505 | − | 0.462720i | \(-0.153126\pi\) |
0.146726 | + | 0.989177i | \(0.453126\pi\) | |||||||
\(978\) | 11.8147 | + | 33.1108i | 0.377792 | + | 1.05877i | ||||
\(979\) | −7.60840 | + | 35.7947i | −0.243165 | + | 1.14400i | ||||
\(980\) | 9.99591 | − | 11.8763i | 0.319308 | − | 0.379375i | ||||
\(981\) | −11.3825 | + | 4.43216i | −0.363416 | + | 0.141508i | ||||
\(982\) | −0.507729 | + | 9.68805i | −0.0162023 | + | 0.309158i | ||||
\(983\) | −34.8069 | + | 42.9830i | −1.11017 | + | 1.37094i | −0.188909 | + | 0.981995i | \(0.560495\pi\) |
−0.921259 | + | 0.388949i | \(0.872838\pi\) | |||||||
\(984\) | 7.06745 | + | 10.2305i | 0.225302 | + | 0.326136i | ||||
\(985\) | −38.1751 | − | 8.87395i | −1.21636 | − | 0.282748i | ||||
\(986\) | 8.88876 | − | 5.13193i | 0.283076 | − | 0.163434i | ||||
\(987\) | 1.10507 | + | 4.55474i | 0.0351747 | + | 0.144979i | ||||
\(988\) | 5.52884 | − | 0.875682i | 0.175896 | − | 0.0278591i | ||||
\(989\) | −3.83220 | + | 4.25609i | −0.121857 | + | 0.135336i | ||||
\(990\) | 29.2658 | + | 15.4373i | 0.930128 | + | 0.490631i | ||||
\(991\) | −1.08928 | −0.0346021 | −0.0173010 | − | 0.999850i | \(-0.505507\pi\) | ||||
−0.0173010 | + | 0.999850i | \(0.505507\pi\) | |||||||
\(992\) | 4.87955 | − | 2.68141i | 0.154926 | − | 0.0851348i | ||||
\(993\) | −36.6696 | + | 34.9659i | −1.16368 | + | 1.10961i | ||||
\(994\) | −0.750185 | − | 0.243750i | −0.0237944 | − | 0.00773128i | ||||
\(995\) | −7.92447 | − | 0.566119i | −0.251223 | − | 0.0179472i | ||||
\(996\) | 16.0314 | − | 20.9968i | 0.507976 | − | 0.665308i | ||||
\(997\) | 26.4717 | − | 7.09308i | 0.838368 | − | 0.224640i | 0.186007 | − | 0.982548i | \(-0.440445\pi\) |
0.652361 | + | 0.757908i | \(0.273779\pi\) | |||||||
\(998\) | 1.90937 | − | 7.12588i | 0.0604402 | − | 0.225566i | ||||
\(999\) | −22.1167 | − | 3.93452i | −0.699740 | − | 0.124483i |
(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 | 930.2.bs.a.107.17 | ✓ | 1024 | |
3.2 | odd | 2 | inner | 930.2.bs.a.107.50 | yes | 1024 | |
5.3 | odd | 4 | inner | 930.2.bs.a.293.1 | yes | 1024 | |
15.8 | even | 4 | inner | 930.2.bs.a.293.34 | yes | 1024 | |
31.20 | even | 15 | inner | 930.2.bs.a.857.34 | yes | 1024 | |
93.20 | odd | 30 | inner | 930.2.bs.a.857.1 | yes | 1024 | |
155.113 | odd | 60 | inner | 930.2.bs.a.113.50 | yes | 1024 | |
465.113 | even | 60 | inner | 930.2.bs.a.113.17 | yes | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bs.a.107.17 | ✓ | 1024 | 1.1 | even | 1 | trivial | |
930.2.bs.a.107.50 | yes | 1024 | 3.2 | odd | 2 | inner | |
930.2.bs.a.113.17 | yes | 1024 | 465.113 | even | 60 | inner | |
930.2.bs.a.113.50 | yes | 1024 | 155.113 | odd | 60 | inner | |
930.2.bs.a.293.1 | yes | 1024 | 5.3 | odd | 4 | inner | |
930.2.bs.a.293.34 | yes | 1024 | 15.8 | even | 4 | inner | |
930.2.bs.a.857.1 | yes | 1024 | 93.20 | odd | 30 | inner | |
930.2.bs.a.857.34 | yes | 1024 | 31.20 | even | 15 | inner |