Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(31,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.n (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 31.3 | ||
Character | \(\chi\) | \(=\) | 252.31 |
Dual form | 252.2.n.b.187.3 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39808 | − | 0.213015i | −0.988591 | − | 0.150624i | ||||
\(3\) | −0.709178 | + | 1.58021i | −0.409444 | + | 0.912335i | ||||
\(4\) | 1.90925 | + | 0.595623i | 0.954625 | + | 0.297811i | ||||
\(5\) | − | 2.93241i | − | 1.31142i | −0.755015 | − | 0.655708i | \(-0.772370\pi\) | ||
0.755015 | − | 0.655708i | \(-0.227630\pi\) | |||||||
\(6\) | 1.32809 | − | 2.05819i | 0.542192 | − | 0.840254i | ||||
\(7\) | −2.24678 | + | 1.39713i | −0.849203 | + | 0.528066i | ||||
\(8\) | −2.54241 | − | 1.23943i | −0.898876 | − | 0.438203i | ||||
\(9\) | −1.99413 | − | 2.24130i | −0.664711 | − | 0.747100i | ||||
\(10\) | −0.624647 | + | 4.09975i | −0.197531 | + | 1.29645i | ||||
\(11\) | − | 1.83078i | − | 0.552000i | −0.961158 | − | 0.276000i | \(-0.910991\pi\) | ||
0.961158 | − | 0.276000i | \(-0.0890089\pi\) | |||||||
\(12\) | −2.29521 | + | 2.59461i | −0.662569 | + | 0.749001i | ||||
\(13\) | −0.488438 | − | 0.282000i | −0.135468 | − | 0.0782127i | 0.430734 | − | 0.902479i | \(-0.358255\pi\) |
−0.566203 | + | 0.824266i | \(0.691588\pi\) | |||||||
\(14\) | 3.43879 | − | 1.47470i | 0.919054 | − | 0.394131i | ||||
\(15\) | 4.63383 | + | 2.07960i | 1.19645 | + | 0.536951i | ||||
\(16\) | 3.29047 | + | 2.27438i | 0.822617 | + | 0.568596i | ||||
\(17\) | 0.330952 | + | 0.191075i | 0.0802677 | + | 0.0463426i | 0.539597 | − | 0.841924i | \(-0.318577\pi\) |
−0.459329 | + | 0.888266i | \(0.651910\pi\) | |||||||
\(18\) | 2.31053 | + | 3.55830i | 0.544596 | + | 0.838698i | ||||
\(19\) | −4.34210 | − | 7.52073i | −0.996145 | − | 1.72537i | −0.574038 | − | 0.818829i | \(-0.694624\pi\) |
−0.422107 | − | 0.906546i | \(-0.638709\pi\) | |||||||
\(20\) | 1.74661 | − | 5.59871i | 0.390554 | − | 1.25191i | ||||
\(21\) | −0.614395 | − | 4.54120i | −0.134072 | − | 0.990972i | ||||
\(22\) | −0.389982 | + | 2.55957i | −0.0831445 | + | 0.545702i | ||||
\(23\) | − | 4.80432i | − | 1.00177i | −0.865514 | − | 0.500885i | \(-0.833008\pi\) | ||
0.865514 | − | 0.500885i | \(-0.166992\pi\) | |||||||
\(24\) | 3.76157 | − | 3.13856i | 0.767828 | − | 0.640657i | ||||
\(25\) | −3.59905 | −0.719810 | ||||||||
\(26\) | 0.622805 | + | 0.498302i | 0.122142 | + | 0.0977251i | ||||
\(27\) | 4.95592 | − | 1.56167i | 0.953768 | − | 0.300544i | ||||
\(28\) | −5.12183 | + | 1.32924i | −0.967935 | + | 0.251202i | ||||
\(29\) | −1.82266 | − | 3.15694i | −0.338459 | − | 0.586229i | 0.645684 | − | 0.763605i | \(-0.276572\pi\) |
−0.984143 | + | 0.177376i | \(0.943239\pi\) | |||||||
\(30\) | −6.03548 | − | 3.89452i | −1.10192 | − | 0.711039i | ||||
\(31\) | −0.327099 | − | 0.566552i | −0.0587487 | − | 0.101756i | 0.835155 | − | 0.550014i | \(-0.185378\pi\) |
−0.893904 | + | 0.448259i | \(0.852044\pi\) | |||||||
\(32\) | −4.11586 | − | 3.88069i | −0.727587 | − | 0.686015i | ||||
\(33\) | 2.89301 | + | 1.29835i | 0.503609 | + | 0.226013i | ||||
\(34\) | −0.421996 | − | 0.337636i | −0.0723716 | − | 0.0579041i | ||||
\(35\) | 4.09697 | + | 6.58849i | 0.692514 | + | 1.11366i | ||||
\(36\) | −2.47233 | − | 5.46695i | −0.412055 | − | 0.911159i | ||||
\(37\) | 3.63968 | + | 6.30411i | 0.598360 | + | 1.03639i | 0.993063 | + | 0.117581i | \(0.0375141\pi\) |
−0.394703 | + | 0.918809i | \(0.629153\pi\) | |||||||
\(38\) | 4.46857 | + | 11.4395i | 0.724897 | + | 1.85573i | ||||
\(39\) | 0.792008 | − | 0.571847i | 0.126823 | − | 0.0915688i | ||||
\(40\) | −3.63451 | + | 7.45538i | −0.574666 | + | 1.17880i | ||||
\(41\) | −8.94130 | − | 5.16226i | −1.39640 | − | 0.806210i | −0.402384 | − | 0.915471i | \(-0.631818\pi\) |
−0.994013 | + | 0.109261i | \(0.965152\pi\) | |||||||
\(42\) | −0.108370 | + | 6.47983i | −0.0167218 | + | 0.999860i | ||||
\(43\) | 5.57437 | − | 3.21836i | 0.850083 | − | 0.490796i | −0.0105955 | − | 0.999944i | \(-0.503373\pi\) |
0.860679 | + | 0.509148i | \(0.170039\pi\) | |||||||
\(44\) | 1.09045 | − | 3.49541i | 0.164392 | − | 0.526953i | ||||
\(45\) | −6.57242 | + | 5.84763i | −0.979759 | + | 0.871713i | ||||
\(46\) | −1.02339 | + | 6.71682i | −0.150891 | + | 0.990342i | ||||
\(47\) | −3.98863 | + | 6.90851i | −0.581802 | + | 1.00771i | 0.413464 | + | 0.910520i | \(0.364319\pi\) |
−0.995266 | + | 0.0971900i | \(0.969015\pi\) | |||||||
\(48\) | −5.92753 | + | 3.58669i | −0.855566 | + | 0.517694i | ||||
\(49\) | 3.09605 | − | 6.27810i | 0.442293 | − | 0.896871i | ||||
\(50\) | 5.03175 | + | 0.766650i | 0.711598 | + | 0.108421i | ||||
\(51\) | −0.536643 | + | 0.387468i | −0.0751451 | + | 0.0542564i | ||||
\(52\) | −0.764584 | − | 0.829333i | −0.106029 | − | 0.115008i | ||||
\(53\) | −3.65087 | + | 6.32349i | −0.501485 | + | 0.868598i | 0.498513 | + | 0.866882i | \(0.333880\pi\) |
−0.999999 | + | 0.00171612i | \(0.999454\pi\) | |||||||
\(54\) | −7.26143 | + | 1.12766i | −0.988156 | + | 0.153455i | ||||
\(55\) | −5.36859 | −0.723901 | ||||||||
\(56\) | 7.44387 | − | 0.767355i | 0.994729 | − | 0.102542i | ||||
\(57\) | 14.9637 | − | 1.52789i | 1.98199 | − | 0.202375i | ||||
\(58\) | 1.87575 | + | 4.80190i | 0.246298 | + | 0.630521i | ||||
\(59\) | 0.0346907 | + | 0.0600861i | 0.00451635 | + | 0.00782255i | 0.868275 | − | 0.496084i | \(-0.165229\pi\) |
−0.863758 | + | 0.503906i | \(0.831896\pi\) | |||||||
\(60\) | 7.60848 | + | 6.73050i | 0.982251 | + | 0.868903i | ||||
\(61\) | 8.51454 | + | 4.91587i | 1.09018 | + | 0.629413i | 0.933623 | − | 0.358257i | \(-0.116629\pi\) |
0.156552 | + | 0.987670i | \(0.449962\pi\) | |||||||
\(62\) | 0.336626 | + | 0.861761i | 0.0427516 | + | 0.109444i | ||||
\(63\) | 7.61177 | + | 2.24965i | 0.958993 | + | 0.283429i | ||||
\(64\) | 4.92765 | + | 6.30224i | 0.615956 | + | 0.787781i | ||||
\(65\) | −0.826940 | + | 1.43230i | −0.102569 | + | 0.177655i | ||||
\(66\) | −3.76809 | − | 2.43144i | −0.463820 | − | 0.299290i | ||||
\(67\) | −1.57158 | + | 0.907354i | −0.192000 | + | 0.110851i | −0.592918 | − | 0.805263i | \(-0.702024\pi\) |
0.400919 | + | 0.916114i | \(0.368691\pi\) | |||||||
\(68\) | 0.518062 | + | 0.561933i | 0.0628242 | + | 0.0681444i | ||||
\(69\) | 7.59185 | + | 3.40712i | 0.913951 | + | 0.410169i | ||||
\(70\) | −4.32444 | − | 10.0839i | −0.516869 | − | 1.20526i | ||||
\(71\) | 9.64068i | 1.14414i | 0.820205 | + | 0.572069i | \(0.193859\pi\) | ||||
−0.820205 | + | 0.572069i | \(0.806141\pi\) | |||||||
\(72\) | 2.29197 | + | 8.16988i | 0.270111 | + | 0.962829i | ||||
\(73\) | −13.1397 | − | 7.58623i | −1.53789 | − | 0.887901i | −0.998962 | − | 0.0455481i | \(-0.985497\pi\) |
−0.538927 | − | 0.842353i | \(-0.681170\pi\) | |||||||
\(74\) | −3.74569 | − | 9.58896i | −0.435428 | − | 1.11469i | ||||
\(75\) | 2.55237 | − | 5.68726i | 0.294722 | − | 0.656708i | ||||
\(76\) | −3.81063 | − | 16.9452i | −0.437109 | − | 1.94375i | ||||
\(77\) | 2.55783 | + | 4.11335i | 0.291492 | + | 0.468760i | ||||
\(78\) | −1.22910 | + | 0.630778i | −0.139168 | + | 0.0714215i | ||||
\(79\) | 5.47218 | + | 3.15937i | 0.615669 | + | 0.355456i | 0.775181 | − | 0.631740i | \(-0.217659\pi\) |
−0.159512 | + | 0.987196i | \(0.550992\pi\) | |||||||
\(80\) | 6.66944 | − | 9.64901i | 0.745666 | − | 1.07879i | ||||
\(81\) | −1.04686 | + | 8.93891i | −0.116318 | + | 0.993212i | ||||
\(82\) | 11.4010 | + | 9.12188i | 1.25903 | + | 1.00734i | ||||
\(83\) | −2.90035 | − | 5.02356i | −0.318355 | − | 0.551407i | 0.661790 | − | 0.749689i | \(-0.269797\pi\) |
−0.980145 | + | 0.198282i | \(0.936464\pi\) | |||||||
\(84\) | 1.53181 | − | 9.03624i | 0.167134 | − | 0.985934i | ||||
\(85\) | 0.560312 | − | 0.970489i | 0.0607744 | − | 0.105264i | ||||
\(86\) | −8.47897 | + | 3.31210i | −0.914311 | + | 0.357153i | ||||
\(87\) | 6.28122 | − | 0.641356i | 0.673417 | − | 0.0687606i | ||||
\(88\) | −2.26911 | + | 4.65457i | −0.241888 | + | 0.496179i | ||||
\(89\) | −1.91814 | + | 1.10744i | −0.203323 | + | 0.117389i | −0.598204 | − | 0.801343i | \(-0.704119\pi\) |
0.394882 | + | 0.918732i | \(0.370786\pi\) | |||||||
\(90\) | 10.4344 | − | 6.77542i | 1.09988 | − | 0.714192i | ||||
\(91\) | 1.49140 | − | 0.0488201i | 0.156342 | − | 0.00511774i | ||||
\(92\) | 2.86156 | − | 9.17265i | 0.298339 | − | 0.956315i | ||||
\(93\) | 1.12724 | − | 0.115099i | 0.116890 | − | 0.0119352i | ||||
\(94\) | 7.04804 | − | 8.80901i | 0.726950 | − | 0.908580i | ||||
\(95\) | −22.0539 | + | 12.7328i | −2.26268 | + | 1.30636i | ||||
\(96\) | 9.05118 | − | 3.75182i | 0.923782 | − | 0.382919i | ||||
\(97\) | −1.59144 | + | 0.918820i | −0.161587 | + | 0.0932921i | −0.578613 | − | 0.815602i | \(-0.696406\pi\) |
0.417026 | + | 0.908895i | \(0.363072\pi\) | |||||||
\(98\) | −5.66585 | + | 8.11777i | −0.572337 | + | 0.820018i | ||||
\(99\) | −4.10332 | + | 3.65081i | −0.412399 | + | 0.366920i | ||||
\(100\) | −6.87148 | − | 2.14368i | −0.687148 | − | 0.214368i | ||||
\(101\) | − | 4.52600i | − | 0.450354i | −0.974318 | − | 0.225177i | \(-0.927704\pi\) | ||
0.974318 | − | 0.225177i | \(-0.0722960\pi\) | |||||||
\(102\) | 0.832806 | − | 0.427398i | 0.0824601 | − | 0.0423187i | ||||
\(103\) | −14.0545 | −1.38483 | −0.692416 | − | 0.721499i | \(-0.743454\pi\) | ||||
−0.692416 | + | 0.721499i | \(0.743454\pi\) | |||||||
\(104\) | 0.892289 | + | 1.32234i | 0.0874962 | + | 0.129666i | ||||
\(105\) | −13.3167 | + | 1.80166i | −1.29958 | + | 0.175824i | ||||
\(106\) | 6.45120 | − | 8.06305i | 0.626596 | − | 0.783153i | ||||
\(107\) | 7.78206 | − | 4.49298i | 0.752320 | − | 0.434352i | −0.0742113 | − | 0.997243i | \(-0.523644\pi\) |
0.826532 | + | 0.562890i | \(0.190311\pi\) | |||||||
\(108\) | 10.3923 | − | 0.0297615i | 0.999996 | − | 0.00286380i | ||||
\(109\) | 1.49757 | − | 2.59388i | 0.143442 | − | 0.248448i | −0.785349 | − | 0.619054i | \(-0.787516\pi\) |
0.928790 | + | 0.370605i | \(0.120850\pi\) | |||||||
\(110\) | 7.50572 | + | 1.14359i | 0.715642 | + | 0.109037i | ||||
\(111\) | −12.5430 | + | 1.28073i | −1.19053 | + | 0.121561i | ||||
\(112\) | −10.5706 | − | 0.512830i | −0.998825 | − | 0.0484579i | ||||
\(113\) | −4.05327 | + | 7.02047i | −0.381299 | + | 0.660430i | −0.991248 | − | 0.132011i | \(-0.957857\pi\) |
0.609949 | + | 0.792441i | \(0.291190\pi\) | |||||||
\(114\) | −21.2458 | − | 1.05136i | −1.98986 | − | 0.0984692i | ||||
\(115\) | −14.0883 | −1.31374 | ||||||||
\(116\) | −1.59957 | − | 7.11300i | −0.148516 | − | 0.660425i | ||||
\(117\) | 0.341964 | + | 1.65708i | 0.0316146 | + | 0.153197i | ||||
\(118\) | −0.0357012 | − | 0.0913948i | −0.00328656 | − | 0.00841357i | ||||
\(119\) | −1.01053 | + | 0.0330792i | −0.0926356 | + | 0.00303237i | ||||
\(120\) | −9.20357 | − | 11.0305i | −0.840167 | − | 1.00694i | ||||
\(121\) | 7.64826 | 0.695296 | ||||||||
\(122\) | −10.8568 | − | 8.68650i | −0.982933 | − | 0.786439i | ||||
\(123\) | 14.4984 | − | 10.4682i | 1.30728 | − | 0.943884i | ||||
\(124\) | −0.287062 | − | 1.27652i | −0.0257789 | − | 0.114635i | ||||
\(125\) | − | 4.10817i | − | 0.367446i | ||||||
\(126\) | −10.1627 | − | 4.76660i | −0.905361 | − | 0.424643i | ||||
\(127\) | − | 5.68040i | − | 0.504054i | −0.967720 | − | 0.252027i | \(-0.918903\pi\) | ||
0.967720 | − | 0.252027i | \(-0.0810972\pi\) | |||||||
\(128\) | −5.54677 | − | 9.86070i | −0.490270 | − | 0.871571i | ||||
\(129\) | 1.13248 | + | 11.0911i | 0.0997089 | + | 0.976515i | ||||
\(130\) | 1.46123 | − | 1.82632i | 0.128158 | − | 0.160179i | ||||
\(131\) | 7.76310 | 0.678265 | 0.339133 | − | 0.940739i | \(-0.389866\pi\) | ||||
0.339133 | + | 0.940739i | \(0.389866\pi\) | |||||||
\(132\) | 4.75016 | + | 4.20201i | 0.413448 | + | 0.365738i | ||||
\(133\) | 20.2632 | + | 10.8310i | 1.75704 | + | 0.939163i | ||||
\(134\) | 2.39048 | − | 0.933783i | 0.206506 | − | 0.0806665i | ||||
\(135\) | −4.57947 | − | 14.5328i | −0.394138 | − | 1.25079i | ||||
\(136\) | −0.604591 | − | 0.895982i | −0.0518433 | − | 0.0768298i | ||||
\(137\) | 18.8890 | 1.61380 | 0.806900 | − | 0.590688i | \(-0.201144\pi\) | ||||
0.806900 | + | 0.590688i | \(0.201144\pi\) | |||||||
\(138\) | −9.88823 | − | 6.38060i | −0.841742 | − | 0.543152i | ||||
\(139\) | 3.57292 | − | 6.18848i | 0.303051 | − | 0.524900i | −0.673774 | − | 0.738937i | \(-0.735328\pi\) |
0.976826 | + | 0.214037i | \(0.0686613\pi\) | |||||||
\(140\) | 3.89788 | + | 15.0193i | 0.329431 | + | 1.26936i | ||||
\(141\) | −8.08826 | − | 11.2022i | −0.681155 | − | 0.943399i | ||||
\(142\) | 2.05361 | − | 13.4784i | 0.172335 | − | 1.13108i | ||||
\(143\) | −0.516278 | + | 0.894220i | −0.0431734 | + | 0.0747785i | ||||
\(144\) | −1.46405 | − | 11.9104i | −0.122004 | − | 0.992530i | ||||
\(145\) | −9.25745 | + | 5.34479i | −0.768789 | + | 0.443861i | ||||
\(146\) | 16.7544 | + | 13.4051i | 1.38660 | + | 1.10941i | ||||
\(147\) | 7.72507 | + | 9.34470i | 0.637153 | + | 0.770738i | ||||
\(148\) | 3.19419 | + | 14.2040i | 0.262561 | + | 1.16756i | ||||
\(149\) | 9.81557 | 0.804122 | 0.402061 | − | 0.915613i | \(-0.368294\pi\) | ||||
0.402061 | + | 0.915613i | \(0.368294\pi\) | |||||||
\(150\) | −4.77988 | + | 7.40754i | −0.390275 | + | 0.604823i | ||||
\(151\) | − | 3.75263i | − | 0.305385i | −0.988274 | − | 0.152692i | \(-0.951206\pi\) | ||
0.988274 | − | 0.152692i | \(-0.0487944\pi\) | |||||||
\(152\) | 1.71798 | + | 24.5025i | 0.139347 | + | 1.98741i | ||||
\(153\) | −0.231706 | − | 1.12279i | −0.0187323 | − | 0.0907725i | ||||
\(154\) | −2.69985 | − | 6.29565i | −0.217560 | − | 0.507318i | ||||
\(155\) | −1.66136 | + | 0.959189i | −0.133444 | + | 0.0770439i | ||||
\(156\) | 1.85275 | − | 0.620061i | 0.148338 | − | 0.0496446i | ||||
\(157\) | 5.67206 | − | 3.27476i | 0.452679 | − | 0.261355i | −0.256282 | − | 0.966602i | \(-0.582498\pi\) |
0.708961 | + | 0.705248i | \(0.249164\pi\) | |||||||
\(158\) | −6.97755 | − | 5.58270i | −0.555104 | − | 0.444136i | ||||
\(159\) | −7.40334 | − | 10.2536i | −0.587123 | − | 0.813165i | ||||
\(160\) | −11.3798 | + | 12.0694i | −0.899651 | + | 0.954169i | ||||
\(161\) | 6.71227 | + | 10.7943i | 0.529001 | + | 0.850707i | ||||
\(162\) | 3.36771 | − | 12.2743i | 0.264592 | − | 0.964360i | ||||
\(163\) | 11.1236 | − | 6.42221i | 0.871268 | − | 0.503027i | 0.00349827 | − | 0.999994i | \(-0.498886\pi\) |
0.867769 | + | 0.496967i | \(0.165553\pi\) | |||||||
\(164\) | −13.9964 | − | 15.1817i | −1.09294 | − | 1.18549i | ||||
\(165\) | 3.80729 | − | 8.48351i | 0.296397 | − | 0.660440i | ||||
\(166\) | 2.98483 | + | 7.64115i | 0.231668 | + | 0.593068i | ||||
\(167\) | 1.76904 | − | 3.06407i | 0.136893 | − | 0.237105i | −0.789426 | − | 0.613846i | \(-0.789622\pi\) |
0.926319 | + | 0.376740i | \(0.122955\pi\) | |||||||
\(168\) | −4.06644 | + | 12.3071i | −0.313733 | + | 0.949511i | ||||
\(169\) | −6.34095 | − | 10.9829i | −0.487766 | − | 0.844835i | ||||
\(170\) | −0.990089 | + | 1.23747i | −0.0759364 | + | 0.0949093i | ||||
\(171\) | −8.19750 | + | 24.7293i | −0.626879 | + | 1.89110i | ||||
\(172\) | 12.5598 | − | 2.82444i | 0.957675 | − | 0.215361i | ||||
\(173\) | 8.62342 | + | 4.97873i | 0.655627 | + | 0.378526i | 0.790609 | − | 0.612322i | \(-0.209764\pi\) |
−0.134982 | + | 0.990848i | \(0.543098\pi\) | |||||||
\(174\) | −8.91826 | − | 0.441325i | −0.676091 | − | 0.0334568i | ||||
\(175\) | 8.08628 | − | 5.02834i | 0.611265 | − | 0.380107i | ||||
\(176\) | 4.16389 | − | 6.02411i | 0.313865 | − | 0.454084i | ||||
\(177\) | −0.119551 | + | 0.0122070i | −0.00898598 | + | 0.000917531i | ||||
\(178\) | 2.91762 | − | 1.13970i | 0.218685 | − | 0.0854239i | ||||
\(179\) | 0.147551 | + | 0.0851888i | 0.0110285 | + | 0.00636731i | 0.505504 | − | 0.862824i | \(-0.331307\pi\) |
−0.494476 | + | 0.869192i | \(0.664640\pi\) | |||||||
\(180\) | −16.0314 | + | 7.24989i | −1.19491 | + | 0.540375i | ||||
\(181\) | − | 15.4196i | − | 1.14613i | −0.819511 | − | 0.573064i | \(-0.805755\pi\) | ||
0.819511 | − | 0.573064i | \(-0.194245\pi\) | |||||||
\(182\) | −2.09550 | − | 0.249437i | −0.155329 | − | 0.0184895i | ||||
\(183\) | −13.8064 | + | 9.96854i | −1.02060 | + | 0.736896i | ||||
\(184\) | −5.95460 | + | 12.2145i | −0.438979 | + | 0.900468i | ||||
\(185\) | 18.4863 | − | 10.6731i | 1.35914 | − | 0.784698i | ||||
\(186\) | −1.60049 | − | 0.0792013i | −0.117354 | − | 0.00580732i | ||||
\(187\) | 0.349816 | − | 0.605900i | 0.0255811 | − | 0.0443078i | ||||
\(188\) | −11.7302 | + | 10.8144i | −0.855510 | + | 0.788718i | ||||
\(189\) | −8.95301 | + | 10.4328i | −0.651236 | + | 0.758875i | ||||
\(190\) | 33.5454 | − | 13.1037i | 2.43364 | − | 0.950642i | ||||
\(191\) | 12.5300 | + | 7.23418i | 0.906637 | + | 0.523447i | 0.879348 | − | 0.476180i | \(-0.157979\pi\) |
0.0272895 | + | 0.999628i | \(0.491312\pi\) | |||||||
\(192\) | −13.4535 | + | 3.31731i | −0.970919 | + | 0.239406i | ||||
\(193\) | −9.93613 | − | 17.2099i | −0.715218 | − | 1.23879i | −0.962875 | − | 0.269946i | \(-0.912994\pi\) |
0.247657 | − | 0.968848i | \(-0.420339\pi\) | |||||||
\(194\) | 2.42069 | − | 0.945582i | 0.173795 | − | 0.0678889i | ||||
\(195\) | −1.67689 | − | 2.32250i | −0.120085 | − | 0.166317i | ||||
\(196\) | 9.65051 | − | 10.1424i | 0.689322 | − | 0.724455i | ||||
\(197\) | −18.7081 | −1.33289 | −0.666447 | − | 0.745553i | \(-0.732186\pi\) | ||||
−0.666447 | + | 0.745553i | \(0.732186\pi\) | |||||||
\(198\) | 6.51444 | − | 4.23006i | 0.462961 | − | 0.300617i | ||||
\(199\) | −1.44143 | + | 2.49663i | −0.102180 | + | 0.176981i | −0.912583 | − | 0.408892i | \(-0.865915\pi\) |
0.810402 | + | 0.585874i | \(0.199249\pi\) | |||||||
\(200\) | 9.15024 | + | 4.46075i | 0.647020 | + | 0.315423i | ||||
\(201\) | −0.319279 | − | 3.12691i | −0.0225202 | − | 0.220555i | ||||
\(202\) | −0.964104 | + | 6.32770i | −0.0678341 | + | 0.445216i | ||||
\(203\) | 8.50577 | + | 4.54645i | 0.596988 | + | 0.319099i | ||||
\(204\) | −1.25537 | + | 0.420136i | −0.0878936 | + | 0.0294154i | ||||
\(205\) | −15.1379 | + | 26.2196i | −1.05728 | + | 1.83126i | ||||
\(206\) | 19.6493 | + | 2.99382i | 1.36903 | + | 0.208589i | ||||
\(207\) | −10.7679 | + | 9.58047i | −0.748423 | + | 0.665889i | ||||
\(208\) | −0.965813 | − | 2.03881i | −0.0669671 | − | 0.141366i | ||||
\(209\) | −13.7688 | + | 7.94941i | −0.952406 | + | 0.549872i | ||||
\(210\) | 19.0016 | + | 0.317785i | 1.31123 | + | 0.0219292i | ||||
\(211\) | 16.7550 | + | 9.67350i | 1.15346 | + | 0.665951i | 0.949728 | − | 0.313075i | \(-0.101359\pi\) |
0.203733 | + | 0.979026i | \(0.434693\pi\) | |||||||
\(212\) | −10.7368 | + | 9.89858i | −0.737409 | + | 0.679837i | ||||
\(213\) | −15.2343 | − | 6.83695i | −1.04384 | − | 0.468460i | ||||
\(214\) | −11.8370 | + | 4.62384i | −0.809161 | + | 0.316079i | ||||
\(215\) | −9.43757 | − | 16.3464i | −0.643637 | − | 1.11481i | ||||
\(216\) | −14.5355 | − | 2.17210i | −0.989018 | − | 0.147792i | ||||
\(217\) | 1.52647 | + | 0.815918i | 0.103623 | + | 0.0553881i | ||||
\(218\) | −2.64626 | + | 3.30744i | −0.179227 | + | 0.224008i | ||||
\(219\) | 21.3062 | − | 15.3836i | 1.43974 | − | 1.03952i | ||||
\(220\) | −10.2500 | − | 3.19766i | −0.691054 | − | 0.215586i | ||||
\(221\) | −0.107766 | − | 0.186657i | −0.00724916 | − | 0.0125559i | ||||
\(222\) | 17.8089 | + | 0.881286i | 1.19526 | + | 0.0591480i | ||||
\(223\) | 9.86207 | + | 17.0816i | 0.660413 | + | 1.14387i | 0.980507 | + | 0.196483i | \(0.0629520\pi\) |
−0.320095 | + | 0.947386i | \(0.603715\pi\) | |||||||
\(224\) | 14.6693 | + | 2.96866i | 0.980131 | + | 0.198352i | ||||
\(225\) | 7.17699 | + | 8.06655i | 0.478466 | + | 0.537770i | ||||
\(226\) | 7.16225 | − | 8.95176i | 0.476426 | − | 0.595462i | ||||
\(227\) | 1.29766 | 0.0861285 | 0.0430643 | − | 0.999072i | \(-0.486288\pi\) | ||||
0.0430643 | + | 0.999072i | \(0.486288\pi\) | |||||||
\(228\) | 29.4794 | + | 5.99557i | 1.95232 | + | 0.397066i | ||||
\(229\) | − | 13.0374i | − | 0.861538i | −0.902462 | − | 0.430769i | \(-0.858242\pi\) | ||
0.902462 | − | 0.430769i | \(-0.141758\pi\) | |||||||
\(230\) | 19.6965 | + | 3.00101i | 1.29875 | + | 0.197881i | ||||
\(231\) | −8.31392 | + | 1.12482i | −0.547016 | + | 0.0740077i | ||||
\(232\) | 0.721147 | + | 10.2853i | 0.0473456 | + | 0.675261i | ||||
\(233\) | −8.17297 | − | 14.1560i | −0.535429 | − | 0.927390i | −0.999142 | − | 0.0414048i | \(-0.986817\pi\) |
0.463714 | − | 0.885985i | \(-0.346517\pi\) | |||||||
\(234\) | −0.125111 | − | 2.38957i | −0.00817873 | − | 0.156211i | ||||
\(235\) | 20.2586 | + | 11.6963i | 1.32153 | + | 0.762984i | ||||
\(236\) | 0.0304446 | + | 0.135382i | 0.00198178 | + | 0.00881262i | ||||
\(237\) | −8.87321 | + | 6.40665i | −0.576377 | + | 0.416157i | ||||
\(238\) | 1.41985 | + | 0.169011i | 0.0920354 | + | 0.0109554i | ||||
\(239\) | −7.08294 | − | 4.08934i | −0.458157 | − | 0.264517i | 0.253112 | − | 0.967437i | \(-0.418546\pi\) |
−0.711269 | + | 0.702920i | \(0.751879\pi\) | |||||||
\(240\) | 10.5177 | + | 17.3820i | 0.678912 | + | 1.12200i | ||||
\(241\) | 8.43974i | 0.543652i | 0.962346 | + | 0.271826i | \(0.0876275\pi\) | ||||
−0.962346 | + | 0.271826i | \(0.912373\pi\) | |||||||
\(242\) | −10.6929 | − | 1.62919i | −0.687364 | − | 0.104728i | ||||
\(243\) | −13.3830 | − | 7.99353i | −0.858517 | − | 0.512785i | ||||
\(244\) | 13.3284 | + | 14.4571i | 0.853262 | + | 0.925520i | ||||
\(245\) | −18.4100 | − | 9.07890i | −1.17617 | − | 0.580029i | ||||
\(246\) | −22.4998 | + | 11.5470i | −1.43454 | + | 0.736208i | ||||
\(247\) | 4.89788i | 0.311645i | ||||||||
\(248\) | 0.129419 | + | 1.84582i | 0.00821811 | + | 0.117210i | ||||
\(249\) | 9.99515 | − | 1.02057i | 0.633417 | − | 0.0646763i | ||||
\(250\) | −0.875100 | + | 5.74354i | −0.0553462 | + | 0.363253i | ||||
\(251\) | −13.3180 | −0.840622 | −0.420311 | − | 0.907380i | \(-0.638079\pi\) | ||||
−0.420311 | + | 0.907380i | \(0.638079\pi\) | |||||||
\(252\) | 13.1928 | + | 8.82888i | 0.831070 | + | 0.556167i | ||||
\(253\) | −8.79564 | −0.552977 | ||||||||
\(254\) | −1.21001 | + | 7.94165i | −0.0759227 | + | 0.498303i | ||||
\(255\) | 1.13622 | + | 1.57366i | 0.0711527 | + | 0.0985464i | ||||
\(256\) | 5.65435 | + | 14.9676i | 0.353397 | + | 0.935474i | ||||
\(257\) | − | 2.32005i | − | 0.144721i | −0.997379 | − | 0.0723604i | \(-0.976947\pi\) | ||
0.997379 | − | 0.0723604i | \(-0.0230532\pi\) | |||||||
\(258\) | 0.779271 | − | 15.7474i | 0.0485153 | − | 0.980392i | ||||
\(259\) | −16.9852 | − | 9.07885i | −1.05541 | − | 0.564132i | ||||
\(260\) | −2.43195 | + | 2.24208i | −0.150823 | + | 0.139048i | ||||
\(261\) | −3.44102 | + | 10.3805i | −0.212994 | + | 0.642536i | ||||
\(262\) | −10.8534 | − | 1.65365i | −0.670527 | − | 0.102163i | ||||
\(263\) | − | 28.4330i | − | 1.75325i | −0.481173 | − | 0.876626i | \(-0.659789\pi\) | ||
0.481173 | − | 0.876626i | \(-0.340211\pi\) | |||||||
\(264\) | −5.74601 | − | 6.88659i | −0.353642 | − | 0.423841i | ||||
\(265\) | 18.5431 | + | 10.7059i | 1.13909 | + | 0.657656i | ||||
\(266\) | −26.0224 | − | 19.4589i | −1.59553 | − | 1.19310i | ||||
\(267\) | −0.389686 | − | 3.81645i | −0.0238484 | − | 0.233563i | ||||
\(268\) | −3.54099 | + | 0.796295i | −0.216300 | + | 0.0486415i | ||||
\(269\) | 13.5982 | + | 7.85090i | 0.829094 | + | 0.478678i | 0.853542 | − | 0.521023i | \(-0.174450\pi\) |
−0.0244481 | + | 0.999701i | \(0.507783\pi\) | |||||||
\(270\) | 3.30676 | + | 21.2935i | 0.201243 | + | 1.29588i | ||||
\(271\) | 0.243398 | + | 0.421578i | 0.0147854 | + | 0.0256091i | 0.873323 | − | 0.487141i | \(-0.161960\pi\) |
−0.858538 | + | 0.512750i | \(0.828627\pi\) | |||||||
\(272\) | 0.654409 | + | 1.38144i | 0.0396794 | + | 0.0837621i | ||||
\(273\) | −0.980524 | + | 2.39135i | −0.0593440 | + | 0.144731i | ||||
\(274\) | −26.4084 | − | 4.02364i | −1.59539 | − | 0.243077i | ||||
\(275\) | 6.58905i | 0.397335i | ||||||||
\(276\) | 12.4654 | + | 11.0269i | 0.750327 | + | 0.663742i | ||||
\(277\) | −7.44227 | −0.447163 | −0.223581 | − | 0.974685i | \(-0.571775\pi\) | ||||
−0.223581 | + | 0.974685i | \(0.571775\pi\) | |||||||
\(278\) | −6.31347 | + | 7.89090i | −0.378657 | + | 0.473265i | ||||
\(279\) | −0.617534 | + | 1.86291i | −0.0369708 | + | 0.111529i | ||||
\(280\) | −2.25020 | − | 21.8285i | −0.134475 | − | 1.30450i | ||||
\(281\) | 13.2312 | + | 22.9172i | 0.789310 | + | 1.36712i | 0.926390 | + | 0.376565i | \(0.122895\pi\) |
−0.137081 | + | 0.990560i | \(0.543772\pi\) | |||||||
\(282\) | 8.92179 | + | 17.3845i | 0.531285 | + | 1.03523i | ||||
\(283\) | 14.7005 | + | 25.4621i | 0.873857 | + | 1.51356i | 0.857976 | + | 0.513690i | \(0.171722\pi\) |
0.0158807 | + | 0.999874i | \(0.494945\pi\) | |||||||
\(284\) | −5.74221 | + | 18.4065i | −0.340737 | + | 1.09222i | ||||
\(285\) | −4.48042 | − | 43.8797i | −0.265397 | − | 2.59921i | ||||
\(286\) | 0.912280 | − | 1.14022i | 0.0539443 | − | 0.0674224i | ||||
\(287\) | 27.3015 | − | 0.893697i | 1.61156 | − | 0.0527533i | ||||
\(288\) | −0.490220 | + | 16.9635i | −0.0288865 | + | 0.999583i | ||||
\(289\) | −8.42698 | − | 14.5960i | −0.495705 | − | 0.858586i | ||||
\(290\) | 14.0812 | − | 5.50047i | 0.826874 | − | 0.322998i | ||||
\(291\) | −0.323314 | − | 3.16642i | −0.0189530 | − | 0.185619i | ||||
\(292\) | −20.5685 | − | 22.3103i | −1.20368 | − | 1.30561i | ||||
\(293\) | −13.7086 | − | 7.91467i | −0.800866 | − | 0.462380i | 0.0429080 | − | 0.999079i | \(-0.486338\pi\) |
−0.843774 | + | 0.536699i | \(0.819671\pi\) | |||||||
\(294\) | −8.80970 | − | 14.7102i | −0.513792 | − | 0.857915i | ||||
\(295\) | 0.176197 | − | 0.101728i | 0.0102586 | − | 0.00592281i | ||||
\(296\) | −1.44006 | − | 20.5387i | −0.0837021 | − | 1.19379i | ||||
\(297\) | −2.85907 | − | 9.07319i | −0.165900 | − | 0.526480i | ||||
\(298\) | −13.7229 | − | 2.09086i | −0.794948 | − | 0.121120i | ||||
\(299\) | −1.35482 | + | 2.34661i | −0.0783512 | + | 0.135708i | ||||
\(300\) | 8.26056 | − | 9.33815i | 0.476924 | − | 0.539138i | ||||
\(301\) | −8.02791 | + | 15.0191i | −0.462721 | + | 0.865686i | ||||
\(302\) | −0.799365 | + | 5.24647i | −0.0459983 | + | 0.301901i | ||||
\(303\) | 7.15203 | + | 3.20974i | 0.410873 | + | 0.184395i | ||||
\(304\) | 2.81751 | − | 34.6223i | 0.161595 | − | 1.98573i | ||||
\(305\) | 14.4154 | − | 24.9682i | 0.825422 | − | 1.42967i | ||||
\(306\) | 0.0847715 | + | 1.61911i | 0.00484606 | + | 0.0925584i | ||||
\(307\) | −2.28683 | −0.130517 | −0.0652583 | − | 0.997868i | \(-0.520787\pi\) | ||||
−0.0652583 | + | 0.997868i | \(0.520787\pi\) | |||||||
\(308\) | 2.43354 | + | 9.37692i | 0.138664 | + | 0.534300i | ||||
\(309\) | 9.96714 | − | 22.2091i | 0.567011 | − | 1.26343i | ||||
\(310\) | 2.52704 | − | 0.987127i | 0.143526 | − | 0.0560651i | ||||
\(311\) | −2.80086 | − | 4.85124i | −0.158822 | − | 0.275088i | 0.775622 | − | 0.631198i | \(-0.217436\pi\) |
−0.934444 | + | 0.356109i | \(0.884103\pi\) | |||||||
\(312\) | −2.72237 | + | 0.472231i | −0.154124 | + | 0.0267348i | ||||
\(313\) | −7.63490 | − | 4.40801i | −0.431550 | − | 0.249155i | 0.268457 | − | 0.963292i | \(-0.413486\pi\) |
−0.700007 | + | 0.714136i | \(0.746820\pi\) | |||||||
\(314\) | −8.62755 | + | 3.37015i | −0.486881 | + | 0.190188i | ||||
\(315\) | 6.59689 | − | 22.3209i | 0.371693 | − | 1.25764i | ||||
\(316\) | 8.56597 | + | 9.29137i | 0.481873 | + | 0.522681i | ||||
\(317\) | 1.60324 | − | 2.77689i | 0.0900468 | − | 0.155966i | −0.817484 | − | 0.575952i | \(-0.804632\pi\) |
0.907531 | + | 0.419986i | \(0.137965\pi\) | |||||||
\(318\) | 8.16628 | + | 15.9124i | 0.457942 | + | 0.892323i | ||||
\(319\) | −5.77965 | + | 3.33688i | −0.323598 | + | 0.186829i | ||||
\(320\) | 18.4808 | − | 14.4499i | 1.03311 | − | 0.807774i | ||||
\(321\) | 1.58099 | + | 15.4836i | 0.0882420 | + | 0.864211i | ||||
\(322\) | −7.08495 | − | 16.5210i | −0.394829 | − | 0.920682i | ||||
\(323\) | − | 3.31867i | − | 0.184656i | ||||||
\(324\) | −7.32293 | + | 16.4431i | −0.406829 | + | 0.913504i | ||||
\(325\) | 1.75791 | + | 1.01493i | 0.0975114 | + | 0.0562983i | ||||
\(326\) | −16.9197 | + | 6.60927i | −0.937095 | + | 0.366054i | ||||
\(327\) | 3.03682 | + | 4.20600i | 0.167937 | + | 0.232592i | ||||
\(328\) | 16.3342 | + | 24.2066i | 0.901904 | + | 1.33659i | ||||
\(329\) | −0.690517 | − | 21.0946i | −0.0380694 | − | 1.16298i | ||||
\(330\) | −7.13000 | + | 11.0496i | −0.392493 | + | 0.608261i | ||||
\(331\) | −13.4838 | − | 7.78490i | −0.741139 | − | 0.427897i | 0.0813440 | − | 0.996686i | \(-0.474079\pi\) |
−0.822483 | + | 0.568789i | \(0.807412\pi\) | |||||||
\(332\) | −2.54535 | − | 11.3187i | −0.139694 | − | 0.621197i | ||||
\(333\) | 6.87140 | − | 20.7289i | 0.376551 | − | 1.13594i | ||||
\(334\) | −3.12596 | + | 3.90699i | −0.171045 | + | 0.213781i | ||||
\(335\) | 2.66074 | + | 4.60853i | 0.145372 | + | 0.251791i | ||||
\(336\) | 8.30679 | − | 16.3400i | 0.453173 | − | 0.891423i | ||||
\(337\) | −1.89825 | + | 3.28787i | −0.103404 | + | 0.179102i | −0.913085 | − | 0.407769i | \(-0.866307\pi\) |
0.809681 | + | 0.586871i | \(0.199640\pi\) | |||||||
\(338\) | 6.52564 | + | 16.7056i | 0.354948 | + | 0.908665i | ||||
\(339\) | −8.21933 | − | 11.3838i | −0.446413 | − | 0.618282i | ||||
\(340\) | 1.64782 | − | 1.51917i | 0.0893656 | − | 0.0823886i | ||||
\(341\) | −1.03723 | + | 0.598845i | −0.0561691 | + | 0.0324293i | ||||
\(342\) | 16.7285 | − | 32.8273i | 0.904571 | − | 1.77510i | ||||
\(343\) | 1.81518 | + | 18.4311i | 0.0980104 | + | 0.995185i | ||||
\(344\) | −18.1612 | + | 1.27337i | −0.979188 | + | 0.0686554i | ||||
\(345\) | 9.99108 | − | 22.2624i | 0.537902 | − | 1.19857i | ||||
\(346\) | −10.9957 | − | 8.79758i | −0.591131 | − | 0.472961i | ||||
\(347\) | 14.3510 | − | 8.28557i | 0.770404 | − | 0.444793i | −0.0626149 | − | 0.998038i | \(-0.519944\pi\) |
0.833019 | + | 0.553245i | \(0.186611\pi\) | |||||||
\(348\) | 12.3744 | + | 2.51673i | 0.663338 | + | 0.134911i | ||||
\(349\) | 22.4588 | − | 12.9666i | 1.20219 | − | 0.694087i | 0.241152 | − | 0.970487i | \(-0.422475\pi\) |
0.961043 | + | 0.276400i | \(0.0891415\pi\) | |||||||
\(350\) | −12.3764 | + | 5.30753i | −0.661544 | + | 0.283699i | ||||
\(351\) | −2.86105 | − | 0.634789i | −0.152712 | − | 0.0338825i | ||||
\(352\) | −7.10467 | + | 7.53521i | −0.378680 | + | 0.401628i | ||||
\(353\) | 0.213594i | 0.0113685i | 0.999984 | + | 0.00568424i | \(0.00180936\pi\) | ||||
−0.999984 | + | 0.00568424i | \(0.998191\pi\) | |||||||
\(354\) | 0.169742 | + | 0.00839976i | 0.00902166 | + | 0.000446442i | ||||
\(355\) | 28.2705 | 1.50044 | ||||||||
\(356\) | −4.32183 | + | 0.971891i | −0.229057 | + | 0.0515101i | ||||
\(357\) | 0.664377 | − | 1.62032i | 0.0351625 | − | 0.0857563i | ||||
\(358\) | −0.188142 | − | 0.150531i | −0.00994361 | − | 0.00795583i | ||||
\(359\) | −23.6659 | + | 13.6635i | −1.24904 | + | 0.721133i | −0.970918 | − | 0.239413i | \(-0.923045\pi\) |
−0.278121 | + | 0.960546i | \(0.589712\pi\) | |||||||
\(360\) | 23.9575 | − | 6.72101i | 1.26267 | − | 0.354228i | ||||
\(361\) | −28.2076 | + | 48.8570i | −1.48461 | + | 2.57142i | ||||
\(362\) | −3.28460 | + | 21.5578i | −0.172635 | + | 1.13305i | ||||
\(363\) | −5.42397 | + | 12.0859i | −0.284685 | + | 0.634343i | ||||
\(364\) | 2.87654 | + | 0.795104i | 0.150772 | + | 0.0416748i | ||||
\(365\) | −22.2460 | + | 38.5311i | −1.16441 | + | 2.01681i | ||||
\(366\) | 21.4259 | − | 10.9958i | 1.11995 | − | 0.574762i | ||||
\(367\) | −28.1444 | −1.46912 | −0.734562 | − | 0.678542i | \(-0.762612\pi\) | ||||
−0.734562 | + | 0.678542i | \(0.762612\pi\) | |||||||
\(368\) | 10.9269 | − | 15.8085i | 0.569603 | − | 0.824074i | ||||
\(369\) | 6.25997 | + | 30.3344i | 0.325881 | + | 1.57915i | ||||
\(370\) | −28.1188 | + | 10.9839i | −1.46183 | + | 0.571027i | ||||
\(371\) | −0.632043 | − | 19.3082i | −0.0328140 | − | 1.00243i | ||||
\(372\) | 2.22074 | + | 0.451658i | 0.115140 | + | 0.0234174i | ||||
\(373\) | 6.82494 | 0.353382 | 0.176691 | − | 0.984266i | \(-0.443461\pi\) | ||||
0.176691 | + | 0.984266i | \(0.443461\pi\) | |||||||
\(374\) | −0.618136 | + | 0.772579i | −0.0319631 | + | 0.0399491i | ||||
\(375\) | 6.49177 | + | 2.91342i | 0.335234 | + | 0.150448i | ||||
\(376\) | 18.7033 | − | 12.6206i | 0.964550 | − | 0.650859i | ||||
\(377\) | 2.05596i | 0.105887i | ||||||||
\(378\) | 14.7394 | − | 12.6788i | 0.758111 | − | 0.652126i | ||||
\(379\) | − | 24.6134i | − | 1.26431i | −0.774843 | − | 0.632153i | \(-0.782171\pi\) | ||
0.774843 | − | 0.632153i | \(-0.217829\pi\) | |||||||
\(380\) | −49.6904 | + | 11.1743i | −2.54906 | + | 0.573231i | ||||
\(381\) | 8.97623 | + | 4.02841i | 0.459866 | + | 0.206382i | ||||
\(382\) | −15.9769 | − | 12.7830i | −0.817450 | − | 0.654037i | ||||
\(383\) | 31.1134 | 1.58982 | 0.794911 | − | 0.606726i | \(-0.207518\pi\) | ||||
0.794911 | + | 0.606726i | \(0.207518\pi\) | |||||||
\(384\) | 19.5156 | − | 1.77208i | 0.995903 | − | 0.0904311i | ||||
\(385\) | 12.0621 | − | 7.50063i | 0.614739 | − | 0.382267i | ||||
\(386\) | 10.2255 | + | 26.1773i | 0.520466 | + | 1.33239i | ||||
\(387\) | −18.3294 | − | 6.07599i | −0.931734 | − | 0.308860i | ||||
\(388\) | −3.58573 | + | 0.806357i | −0.182038 | + | 0.0409366i | ||||
\(389\) | −14.3844 | −0.729317 | −0.364658 | − | 0.931141i | \(-0.618814\pi\) | ||||
−0.364658 | + | 0.931141i | \(0.618814\pi\) | |||||||
\(390\) | 1.84970 | + | 3.60424i | 0.0936633 | + | 0.182508i | ||||
\(391\) | 0.917988 | − | 1.59000i | 0.0464247 | − | 0.0804099i | ||||
\(392\) | −15.6526 | + | 12.1241i | −0.790578 | + | 0.612361i | ||||
\(393\) | −5.50542 | + | 12.2673i | −0.277712 | + | 0.618805i | ||||
\(394\) | 26.1553 | + | 3.98509i | 1.31769 | + | 0.200766i | ||||
\(395\) | 9.26457 | − | 16.0467i | 0.466151 | − | 0.807397i | ||||
\(396\) | −10.0088 | + | 4.52628i | −0.502959 | + | 0.227454i | ||||
\(397\) | 3.00720 | − | 1.73621i | 0.150927 | − | 0.0871377i | −0.422635 | − | 0.906300i | \(-0.638895\pi\) |
0.573562 | + | 0.819162i | \(0.305561\pi\) | |||||||
\(398\) | 2.54705 | − | 3.18344i | 0.127672 | − | 0.159571i | ||||
\(399\) | −31.4854 | + | 24.3390i | −1.57624 | + | 1.21848i | ||||
\(400\) | −11.8426 | − | 8.18562i | −0.592128 | − | 0.409281i | ||||
\(401\) | 33.9836 | 1.69706 | 0.848530 | − | 0.529147i | \(-0.177488\pi\) | ||||
0.848530 | + | 0.529147i | \(0.177488\pi\) | |||||||
\(402\) | −0.219700 | + | 4.43968i | −0.0109576 | + | 0.221431i | ||||
\(403\) | 0.368967i | 0.0183796i | ||||||||
\(404\) | 2.69579 | − | 8.64126i | 0.134120 | − | 0.429919i | ||||
\(405\) | 26.2126 | + | 3.06982i | 1.30251 | + | 0.152541i | ||||
\(406\) | −10.9233 | − | 8.16816i | −0.542113 | − | 0.405379i | ||||
\(407\) | 11.5414 | − | 6.66344i | 0.572087 | − | 0.330295i | ||||
\(408\) | 1.84460 | − | 0.319971i | 0.0913215 | − | 0.0158409i | ||||
\(409\) | 12.3756 | − | 7.14508i | 0.611936 | − | 0.353301i | −0.161787 | − | 0.986826i | \(-0.551726\pi\) |
0.773723 | + | 0.633524i | \(0.218392\pi\) | |||||||
\(410\) | 26.7491 | − | 33.4325i | 1.32105 | − | 1.65111i | ||||
\(411\) | −13.3957 | + | 29.8487i | −0.660760 | + | 1.47233i | ||||
\(412\) | −26.8336 | − | 8.37118i | −1.32199 | − | 0.412419i | ||||
\(413\) | −0.161891 | − | 0.0865328i | −0.00796612 | − | 0.00425800i | ||||
\(414\) | 17.0952 | − | 11.1005i | 0.840183 | − | 0.545561i | ||||
\(415\) | −14.7311 | + | 8.50503i | −0.723124 | + | 0.417496i | ||||
\(416\) | 0.915987 | + | 3.05615i | 0.0449100 | + | 0.149840i | ||||
\(417\) | 7.24527 | + | 10.0347i | 0.354803 | + | 0.491402i | ||||
\(418\) | 20.9432 | − | 8.18095i | 1.02436 | − | 0.400143i | ||||
\(419\) | 3.26093 | − | 5.64810i | 0.159307 | − | 0.275928i | −0.775312 | − | 0.631579i | \(-0.782407\pi\) |
0.934619 | + | 0.355651i | \(0.115741\pi\) | |||||||
\(420\) | −26.4980 | − | 4.49190i | −1.29297 | − | 0.219182i | ||||
\(421\) | −3.51243 | − | 6.08371i | −0.171185 | − | 0.296502i | 0.767649 | − | 0.640870i | \(-0.221426\pi\) |
−0.938835 | + | 0.344369i | \(0.888093\pi\) | |||||||
\(422\) | −21.3642 | − | 17.0934i | −1.03999 | − | 0.832093i | ||||
\(423\) | 23.4379 | − | 4.83678i | 1.13959 | − | 0.235172i | ||||
\(424\) | 17.1195 | − | 11.5519i | 0.831396 | − | 0.561010i | ||||
\(425\) | −1.19111 | − | 0.687690i | −0.0577775 | − | 0.0333579i | ||||
\(426\) | 19.8424 | + | 12.8037i | 0.961367 | + | 0.620343i | ||||
\(427\) | −25.9984 | + | 0.851042i | −1.25815 | + | 0.0411848i | ||||
\(428\) | 17.5340 | − | 3.94304i | 0.847539 | − | 0.190594i | ||||
\(429\) | −1.04692 | − | 1.44999i | −0.0505460 | − | 0.0700062i | ||||
\(430\) | 9.71246 | + | 24.8638i | 0.468376 | + | 1.19904i | ||||
\(431\) | −16.8002 | − | 9.69959i | −0.809236 | − | 0.467213i | 0.0374543 | − | 0.999298i | \(-0.488075\pi\) |
−0.846691 | + | 0.532086i | \(0.821408\pi\) | |||||||
\(432\) | 19.8591 | + | 6.13305i | 0.955474 | + | 0.295076i | ||||
\(433\) | − | 20.5238i | − | 0.986309i | −0.869942 | − | 0.493154i | \(-0.835844\pi\) | ||
0.869942 | − | 0.493154i | \(-0.164156\pi\) | |||||||
\(434\) | −1.96032 | − | 1.46588i | −0.0940983 | − | 0.0703644i | ||||
\(435\) | −1.88072 | − | 18.4191i | −0.0901737 | − | 0.883129i | ||||
\(436\) | 4.40422 | − | 4.06037i | 0.210924 | − | 0.194456i | ||||
\(437\) | −36.1320 | + | 20.8608i | −1.72843 | + | 0.997909i | ||||
\(438\) | −33.0647 | + | 16.9689i | −1.57989 | + | 0.810805i | ||||
\(439\) | 3.49698 | − | 6.05694i | 0.166902 | − | 0.289082i | −0.770427 | − | 0.637528i | \(-0.779957\pi\) |
0.937329 | + | 0.348446i | \(0.113290\pi\) | |||||||
\(440\) | 13.6491 | + | 6.65397i | 0.650697 | + | 0.317216i | ||||
\(441\) | −20.2450 | + | 5.58019i | −0.964049 | + | 0.265723i | ||||
\(442\) | 0.110905 | + | 0.283917i | 0.00527523 | + | 0.0135046i | ||||
\(443\) | −2.80179 | − | 1.61762i | −0.133117 | − | 0.0768552i | 0.431963 | − | 0.901892i | \(-0.357821\pi\) |
−0.565080 | + | 0.825036i | \(0.691155\pi\) | |||||||
\(444\) | −24.7106 | − | 5.02567i | −1.17271 | − | 0.238508i | ||||
\(445\) | 3.24748 | + | 5.62479i | 0.153945 | + | 0.266641i | ||||
\(446\) | −10.1493 | − | 25.9822i | −0.480584 | − | 1.23029i | ||||
\(447\) | −6.96098 | + | 15.5107i | −0.329243 | + | 0.733629i | ||||
\(448\) | −19.8764 | − | 7.27519i | −0.939072 | − | 0.343721i | ||||
\(449\) | 15.0764 | 0.711500 | 0.355750 | − | 0.934581i | \(-0.384225\pi\) | ||||
0.355750 | + | 0.934581i | \(0.384225\pi\) | |||||||
\(450\) | −8.31570 | − | 12.8065i | −0.392006 | − | 0.603703i | ||||
\(451\) | −9.45095 | + | 16.3695i | −0.445028 | + | 0.770811i | ||||
\(452\) | −11.9202 | + | 10.9896i | −0.560681 | + | 0.516907i | ||||
\(453\) | 5.92995 | + | 2.66128i | 0.278613 | + | 0.125038i | ||||
\(454\) | −1.81423 | − | 0.276420i | −0.0851459 | − | 0.0129730i | ||||
\(455\) | −0.143161 | − | 4.37341i | −0.00671148 | − | 0.205029i | ||||
\(456\) | −39.9374 | − | 14.6618i | −1.87024 | − | 0.686603i | ||||
\(457\) | −13.4530 | + | 23.3013i | −0.629304 | + | 1.08999i | 0.358387 | + | 0.933573i | \(0.383327\pi\) |
−0.987692 | + | 0.156414i | \(0.950007\pi\) | |||||||
\(458\) | −2.77717 | + | 18.2274i | −0.129768 | + | 0.851709i | ||||
\(459\) | 1.93857 | + | 0.430116i | 0.0904848 | + | 0.0200761i | ||||
\(460\) | −26.8980 | − | 8.39129i | −1.25413 | − | 0.391246i | ||||
\(461\) | 13.3994 | − | 7.73613i | 0.624071 | − | 0.360307i | −0.154381 | − | 0.988011i | \(-0.549338\pi\) |
0.778452 | + | 0.627704i | \(0.216005\pi\) | |||||||
\(462\) | 11.8631 | + | 0.198401i | 0.551923 | + | 0.00923044i | ||||
\(463\) | −5.18126 | − | 2.99140i | −0.240793 | − | 0.139022i | 0.374748 | − | 0.927127i | \(-0.377729\pi\) |
−0.615541 | + | 0.788105i | \(0.711063\pi\) | |||||||
\(464\) | 1.18269 | − | 14.5332i | 0.0549051 | − | 0.674688i | ||||
\(465\) | −0.337519 | − | 3.30554i | −0.0156521 | − | 0.153291i | ||||
\(466\) | 8.41102 | + | 21.5322i | 0.389633 | + | 0.997458i | ||||
\(467\) | −16.0086 | − | 27.7278i | −0.740791 | − | 1.28309i | −0.952136 | − | 0.305676i | \(-0.901118\pi\) |
0.211345 | − | 0.977412i | \(-0.432216\pi\) | |||||||
\(468\) | −0.334100 | + | 3.36746i | −0.0154438 | + | 0.155661i | ||||
\(469\) | 2.26331 | − | 4.23434i | 0.104510 | − | 0.195523i | ||||
\(470\) | −25.8317 | − | 20.6678i | −1.19153 | − | 0.953333i | ||||
\(471\) | 1.15232 | + | 11.2854i | 0.0530962 | + | 0.520005i | ||||
\(472\) | −0.0137256 | − | 0.195760i | −0.000631773 | − | 0.00901058i | ||||
\(473\) | −5.89210 | − | 10.2054i | −0.270919 | − | 0.469246i | ||||
\(474\) | 13.7702 | − | 7.06688i | 0.632485 | − | 0.324592i | ||||
\(475\) | 15.6274 | + | 27.0675i | 0.717035 | + | 1.24194i | ||||
\(476\) | −1.94907 | − | 0.538741i | −0.0893353 | − | 0.0246932i | ||||
\(477\) | 21.4532 | − | 4.42719i | 0.982273 | − | 0.202707i | ||||
\(478\) | 9.03142 | + | 7.22599i | 0.413088 | + | 0.330509i | ||||
\(479\) | 23.8764 | 1.09094 | 0.545470 | − | 0.838130i | \(-0.316351\pi\) | ||||
0.545470 | + | 0.838130i | \(0.316351\pi\) | |||||||
\(480\) | −11.0019 | − | 26.5418i | −0.502166 | − | 1.21146i | ||||
\(481\) | − | 4.10556i | − | 0.187197i | ||||||
\(482\) | 1.79779 | − | 11.7994i | 0.0818871 | − | 0.537449i | ||||
\(483\) | −21.8174 | + | 2.95175i | −0.992727 | + | 0.134309i | ||||
\(484\) | 14.6024 | + | 4.55548i | 0.663747 | + | 0.207067i | ||||
\(485\) | 2.69436 | + | 4.66677i | 0.122345 | + | 0.211907i | ||||
\(486\) | 17.0077 | + | 14.0264i | 0.771484 | + | 0.636248i | ||||
\(487\) | −3.70986 | − | 2.14189i | −0.168110 | − | 0.0970582i | 0.413585 | − | 0.910466i | \(-0.364277\pi\) |
−0.581694 | + | 0.813408i | \(0.697610\pi\) | |||||||
\(488\) | −15.5546 | − | 23.0513i | −0.704122 | − | 1.04348i | ||||
\(489\) | 2.25984 | + | 22.1321i | 0.102194 | + | 1.00085i | ||||
\(490\) | 23.8047 | + | 16.6146i | 1.07538 | + | 0.750572i | ||||
\(491\) | −6.60375 | − | 3.81268i | −0.298023 | − | 0.172064i | 0.343531 | − | 0.939141i | \(-0.388377\pi\) |
−0.641555 | + | 0.767077i | \(0.721710\pi\) | |||||||
\(492\) | 33.9162 | − | 11.3508i | 1.52906 | − | 0.511732i | ||||
\(493\) | − | 1.39306i | − | 0.0627403i | ||||||
\(494\) | 1.04332 | − | 6.84763i | 0.0469412 | − | 0.308089i | ||||
\(495\) | 10.7057 | + | 12.0326i | 0.481185 | + | 0.540826i | ||||
\(496\) | 0.212249 | − | 2.60817i | 0.00953025 | − | 0.117110i | ||||
\(497\) | −13.4693 | − | 21.6605i | −0.604180 | − | 0.971606i | ||||
\(498\) | −14.1914 | − | 0.702270i | −0.635932 | − | 0.0314695i | ||||
\(499\) | − | 20.8317i | − | 0.932556i | −0.884638 | − | 0.466278i | \(-0.845595\pi\) | ||
0.884638 | − | 0.466278i | \(-0.154405\pi\) | |||||||
\(500\) | 2.44692 | − | 7.84352i | 0.109429 | − | 0.350773i | ||||
\(501\) | 3.58732 | + | 4.96844i | 0.160270 | + | 0.221973i | ||||
\(502\) | 18.6195 | + | 2.83692i | 0.831031 | + | 0.126618i | ||||
\(503\) | 13.9678 | 0.622792 | 0.311396 | − | 0.950280i | \(-0.399204\pi\) | ||||
0.311396 | + | 0.950280i | \(0.399204\pi\) | |||||||
\(504\) | −16.5639 | − | 15.1537i | −0.737817 | − | 0.675001i | ||||
\(505\) | −13.2721 | −0.590600 | ||||||||
\(506\) | 12.2970 | + | 1.87360i | 0.546668 | + | 0.0832917i | ||||
\(507\) | 21.8521 | − | 2.23125i | 0.970485 | − | 0.0990933i | ||||
\(508\) | 3.38338 | − | 10.8453i | 0.150113 | − | 0.481182i | ||||
\(509\) | 27.5762i | 1.22229i | 0.791518 | + | 0.611146i | \(0.209291\pi\) | ||||
−0.791518 | + | 0.611146i | \(0.790709\pi\) | |||||||
\(510\) | −1.25331 | − | 2.44213i | −0.0554974 | − | 0.108139i | ||||
\(511\) | 40.1210 | − | 1.31334i | 1.77485 | − | 0.0580986i | ||||
\(512\) | −4.71691 | − | 22.1303i | −0.208460 | − | 0.978031i | ||||
\(513\) | −33.2640 | − | 30.4912i | −1.46864 | − | 1.34622i | ||||
\(514\) | −0.494205 | + | 3.24361i | −0.0217984 | + | 0.143070i | ||||
\(515\) | 41.2136i | 1.81609i | ||||||||
\(516\) | −4.44392 | + | 21.8502i | −0.195633 | + | 0.961899i | ||||
\(517\) | 12.6479 | + | 7.30229i | 0.556256 | + | 0.321154i | ||||
\(518\) | 21.8128 | + | 16.3111i | 0.958399 | + | 0.716667i | ||||
\(519\) | −13.9830 | + | 10.0960i | −0.613785 | + | 0.443166i | ||||
\(520\) | 3.87765 | − | 2.61656i | 0.170046 | − | 0.114744i | ||||
\(521\) | 25.2177 | + | 14.5594i | 1.10481 | + | 0.637860i | 0.937479 | − | 0.348041i | \(-0.113153\pi\) |
0.167327 | + | 0.985901i | \(0.446486\pi\) | |||||||
\(522\) | 7.02201 | − | 13.7797i | 0.307345 | − | 0.603123i | ||||
\(523\) | 2.77500 | + | 4.80644i | 0.121342 | + | 0.210171i | 0.920297 | − | 0.391220i | \(-0.127947\pi\) |
−0.798955 | + | 0.601391i | \(0.794613\pi\) | |||||||
\(524\) | 14.8217 | + | 4.62388i | 0.647489 | + | 0.201995i | ||||
\(525\) | 2.21124 | + | 16.3440i | 0.0965064 | + | 0.713311i | ||||
\(526\) | −6.05664 | + | 39.7515i | −0.264082 | + | 1.73325i | ||||
\(527\) | − | 0.250002i | − | 0.0108903i | ||||||
\(528\) | 6.56643 | + | 10.8520i | 0.285767 | + | 0.472272i | ||||
\(529\) | −0.0815338 | −0.00354495 | ||||||||
\(530\) | −23.6442 | − | 18.9176i | −1.02704 | − | 0.821727i | ||||
\(531\) | 0.0654931 | − | 0.197572i | 0.00284216 | − | 0.00857390i | ||||
\(532\) | 32.2363 | + | 32.7482i | 1.39762 | + | 1.41982i | ||||
\(533\) | 2.91151 | + | 5.04289i | 0.126112 | + | 0.218432i | ||||
\(534\) | −0.268148 | + | 5.41870i | −0.0116039 | + | 0.234490i | ||||
\(535\) | −13.1753 | − | 22.8202i | −0.569616 | − | 0.986604i | ||||
\(536\) | 5.12020 | − | 0.359001i | 0.221159 | − | 0.0155065i | ||||
\(537\) | −0.239256 | + | 0.172748i | −0.0103247 | + | 0.00745464i | ||||
\(538\) | −17.3389 | − | 13.8728i | −0.747535 | − | 0.598098i | ||||
\(539\) | −11.4938 | − | 5.66817i | −0.495072 | − | 0.244145i | ||||
\(540\) | −0.0872729 | − | 30.4744i | −0.00375563 | − | 1.31141i | ||||
\(541\) | 15.4643 | + | 26.7849i | 0.664862 | + | 1.15157i | 0.979323 | + | 0.202304i | \(0.0648430\pi\) |
−0.314461 | + | 0.949270i | \(0.601824\pi\) | |||||||
\(542\) | −0.250488 | − | 0.641247i | −0.0107594 | − | 0.0275439i | ||||
\(543\) | 24.3662 | + | 10.9352i | 1.04565 | + | 0.469275i | ||||
\(544\) | −0.620648 | − | 2.07076i | −0.0266101 | − | 0.0887832i | ||||
\(545\) | −7.60632 | − | 4.39151i | −0.325819 | − | 0.188112i | ||||
\(546\) | 1.88024 | − | 3.13444i | 0.0804670 | − | 0.134142i | ||||
\(547\) | −8.81420 | + | 5.08888i | −0.376868 | + | 0.217585i | −0.676455 | − | 0.736484i | \(-0.736485\pi\) |
0.299587 | + | 0.954069i | \(0.403151\pi\) | |||||||
\(548\) | 36.0639 | + | 11.2507i | 1.54057 | + | 0.480608i | ||||
\(549\) | −5.96119 | − | 28.8866i | −0.254417 | − | 1.23285i | ||||
\(550\) | 1.40357 | − | 9.21202i | 0.0598482 | − | 0.392802i | ||||
\(551\) | −15.8283 | + | 27.4155i | −0.674309 | + | 1.16794i | ||||
\(552\) | −15.0787 | − | 18.0718i | −0.641791 | − | 0.769187i | ||||
\(553\) | −16.7088 | + | 0.546953i | −0.710532 | + | 0.0232588i | ||||
\(554\) | 10.4049 | + | 1.58531i | 0.442061 | + | 0.0673535i | ||||
\(555\) | 3.75563 | + | 36.7813i | 0.159417 | + | 1.56128i | ||||
\(556\) | 10.5076 | − | 9.68725i | 0.445622 | − | 0.410831i | ||||
\(557\) | −8.10369 | + | 14.0360i | −0.343364 | + | 0.594724i | −0.985055 | − | 0.172239i | \(-0.944900\pi\) |
0.641691 | + | 0.766963i | \(0.278233\pi\) | |||||||
\(558\) | 1.26019 | − | 2.47295i | 0.0533480 | − | 0.104688i | ||||
\(559\) | −3.63031 | −0.153546 | ||||||||
\(560\) | −1.50383 | + | 30.9973i | −0.0635484 | + | 1.30987i | ||||
\(561\) | 0.709367 | + | 0.982474i | 0.0299495 | + | 0.0414801i | ||||
\(562\) | −13.6166 | − | 34.8585i | −0.574383 | − | 1.47042i | ||||
\(563\) | −3.59953 | − | 6.23456i | −0.151702 | − | 0.262756i | 0.780151 | − | 0.625591i | \(-0.215142\pi\) |
−0.931853 | + | 0.362835i | \(0.881809\pi\) | |||||||
\(564\) | −8.77020 | − | 26.2054i | −0.369292 | − | 1.10345i | ||||
\(565\) | 20.5869 | + | 11.8859i | 0.866098 | + | 0.500042i | ||||
\(566\) | −15.1287 | − | 38.7294i | −0.635908 | − | 1.62792i | ||||
\(567\) | −10.1368 | − | 21.5464i | −0.425704 | − | 0.904862i | ||||
\(568\) | 11.9489 | − | 24.5105i | 0.501365 | − | 1.02844i | ||||
\(569\) | 3.83664 | − | 6.64525i | 0.160840 | − | 0.278583i | −0.774330 | − | 0.632782i | \(-0.781913\pi\) |
0.935170 | + | 0.354199i | \(0.115246\pi\) | |||||||
\(570\) | −3.08303 | + | 62.3016i | −0.129134 | + | 2.60953i | ||||
\(571\) | −31.4736 | + | 18.1713i | −1.31713 | + | 0.760446i | −0.983266 | − | 0.182175i | \(-0.941686\pi\) |
−0.333865 | + | 0.942621i | \(0.608353\pi\) | |||||||
\(572\) | −1.51832 | + | 1.39978i | −0.0634842 | + | 0.0585279i | ||||
\(573\) | −20.3175 | + | 14.6697i | −0.848776 | + | 0.612835i | ||||
\(574\) | −38.3600 | − | 4.56616i | −1.60112 | − | 0.190588i | ||||
\(575\) | 17.2910i | 0.721085i | ||||||||
\(576\) | 4.29884 | − | 23.6119i | 0.179118 | − | 0.983828i | ||||
\(577\) | 33.2642 | + | 19.2051i | 1.38481 | + | 0.799520i | 0.992724 | − | 0.120410i | \(-0.0384208\pi\) |
0.392084 | + | 0.919929i | \(0.371754\pi\) | |||||||
\(578\) | 8.67243 | + | 22.2014i | 0.360726 | + | 0.923455i | ||||
\(579\) | 34.2417 | − | 3.49632i | 1.42304 | − | 0.145302i | ||||
\(580\) | −20.8583 | + | 4.69059i | −0.866092 | + | 0.194766i | ||||
\(581\) | 13.5350 | + | 7.23466i | 0.561527 | + | 0.300144i | ||||
\(582\) | −0.222476 | + | 4.49578i | −0.00922194 | + | 0.186356i | ||||
\(583\) | 11.5769 | + | 6.68392i | 0.479466 | + | 0.276820i | ||||
\(584\) | 24.0040 | + | 35.5730i | 0.993291 | + | 1.47202i | ||||
\(585\) | 4.85925 | − | 1.00278i | 0.200905 | − | 0.0414599i | ||||
\(586\) | 17.4798 | + | 13.9855i | 0.722083 | + | 0.577735i | ||||
\(587\) | −1.74472 | − | 3.02195i | −0.0720124 | − | 0.124729i | 0.827771 | − | 0.561066i | \(-0.189609\pi\) |
−0.899783 | + | 0.436337i | \(0.856275\pi\) | |||||||
\(588\) | 9.18317 | + | 22.4426i | 0.378707 | + | 0.925516i | ||||
\(589\) | −2.84059 | + | 4.92005i | −0.117044 | + | 0.202727i | ||||
\(590\) | −0.268007 | + | 0.104691i | −0.0110337 | + | 0.00431004i | ||||
\(591\) | 13.2673 | − | 29.5627i | 0.545745 | − | 1.21605i | ||||
\(592\) | −2.36173 | + | 29.0215i | −0.0970664 | + | 1.19278i | ||||
\(593\) | −8.09945 | + | 4.67622i | −0.332604 | + | 0.192029i | −0.656997 | − | 0.753893i | \(-0.728174\pi\) |
0.324392 | + | 0.945923i | \(0.394840\pi\) | |||||||
\(594\) | 2.06449 | + | 13.2941i | 0.0847069 | + | 0.545462i | ||||
\(595\) | 0.0970019 | + | 2.96331i | 0.00397669 | + | 0.121484i | ||||
\(596\) | 18.7404 | + | 5.84637i | 0.767635 | + | 0.239477i | ||||
\(597\) | −2.92297 | − | 4.04832i | −0.119629 | − | 0.165687i | ||||
\(598\) | 2.39401 | − | 2.99216i | 0.0978982 | − | 0.122358i | ||||
\(599\) | −6.05522 | + | 3.49598i | −0.247410 | + | 0.142842i | −0.618578 | − | 0.785724i | \(-0.712291\pi\) |
0.371168 | + | 0.928566i | \(0.378957\pi\) | |||||||
\(600\) | −13.5381 | + | 11.2958i | −0.552690 | + | 0.461151i | ||||
\(601\) | −5.17769 | + | 2.98934i | −0.211202 | + | 0.121938i | −0.601870 | − | 0.798594i | \(-0.705577\pi\) |
0.390668 | + | 0.920532i | \(0.372244\pi\) | |||||||
\(602\) | 14.4229 | − | 19.2878i | 0.587835 | − | 0.786112i | ||||
\(603\) | 5.16760 | + | 1.71301i | 0.210441 | + | 0.0697590i | ||||
\(604\) | 2.23515 | − | 7.16471i | 0.0909470 | − | 0.291528i | ||||
\(605\) | − | 22.4279i | − | 0.911822i | ||||||
\(606\) | −9.31538 | − | 6.01095i | −0.378412 | − | 0.244178i | ||||
\(607\) | 26.2317 | 1.06471 | 0.532356 | − | 0.846521i | \(-0.321307\pi\) | ||||
0.532356 | + | 0.846521i | \(0.321307\pi\) | |||||||
\(608\) | −11.3142 | + | 47.8046i | −0.458850 | + | 1.93873i | ||||
\(609\) | −13.2165 | + | 10.2167i | −0.535558 | + | 0.414000i | ||||
\(610\) | −25.4724 | + | 31.8368i | −1.03135 | + | 1.28903i | ||||
\(611\) | 3.89640 | − | 2.24959i | 0.157631 | − | 0.0910086i | ||||
\(612\) | 0.226377 | − | 2.28170i | 0.00915075 | − | 0.0922324i | ||||
\(613\) | −0.414372 | + | 0.717713i | −0.0167363 | + | 0.0289882i | −0.874272 | − | 0.485436i | \(-0.838661\pi\) |
0.857536 | + | 0.514424i | \(0.171994\pi\) | |||||||
\(614\) | 3.19717 | + | 0.487129i | 0.129027 | + | 0.0196589i | ||||
\(615\) | −30.6970 | − | 42.5154i | −1.23782 | − | 1.71439i | ||||
\(616\) | −1.40486 | − | 13.6281i | −0.0566032 | − | 0.549090i | ||||
\(617\) | 3.69129 | − | 6.39349i | 0.148606 | − | 0.257392i | −0.782107 | − | 0.623144i | \(-0.785855\pi\) |
0.930712 | + | 0.365752i | \(0.119188\pi\) | |||||||
\(618\) | −18.6657 | + | 28.9269i | −0.750845 | + | 1.16361i | ||||
\(619\) | 20.1621 | 0.810384 | 0.405192 | − | 0.914232i | \(-0.367205\pi\) | ||||
0.405192 | + | 0.914232i | \(0.367205\pi\) | |||||||
\(620\) | −3.74327 | + | 0.841785i | −0.150334 | + | 0.0338069i | ||||
\(621\) | −7.50278 | − | 23.8099i | −0.301076 | − | 0.955457i | ||||
\(622\) | 2.88244 | + | 7.37904i | 0.115575 | + | 0.295872i | ||||
\(623\) | 2.76241 | − | 5.16808i | 0.110674 | − | 0.207055i | ||||
\(624\) | 3.90668 | − | 0.0803122i | 0.156392 | − | 0.00321506i | ||||
\(625\) | −30.0421 | −1.20168 | ||||||||
\(626\) | 9.73522 | + | 7.78909i | 0.389098 | + | 0.311315i | ||||
\(627\) | −2.79723 | − | 27.3951i | −0.111711 | − | 1.09406i | ||||
\(628\) | 12.7799 | − | 2.87393i | 0.509973 | − | 0.114682i | ||||
\(629\) | 2.78181i | 0.110918i | ||||||||
\(630\) | −13.9776 | + | 29.8011i | −0.556883 | + | 1.18730i | ||||
\(631\) | 8.38135i | 0.333656i | 0.985986 | + | 0.166828i | \(0.0533525\pi\) | ||||
−0.985986 | + | 0.166828i | \(0.946647\pi\) | |||||||
\(632\) | −9.99670 | − | 14.8147i | −0.397648 | − | 0.589299i | ||||
\(633\) | −27.1684 | + | 19.6162i | −1.07985 | + | 0.779674i | ||||
\(634\) | −2.83297 | + | 3.54080i | −0.112512 | + | 0.140623i | ||||
\(635\) | −16.6573 | −0.661024 | ||||||||
\(636\) | −8.02752 | − | 23.9863i | −0.318312 | − | 0.951119i | ||||
\(637\) | −3.28265 | + | 2.19337i | −0.130063 | + | 0.0869047i | ||||
\(638\) | 8.79120 | − | 3.43407i | 0.348047 | − | 0.135956i | ||||
\(639\) | 21.6077 | − | 19.2248i | 0.854786 | − | 0.760522i | ||||
\(640\) | −28.9156 | + | 16.2654i | −1.14299 | + | 0.642947i | ||||
\(641\) | −13.4028 | −0.529378 | −0.264689 | − | 0.964334i | \(-0.585269\pi\) | ||||
−0.264689 | + | 0.964334i | \(0.585269\pi\) | |||||||
\(642\) | 1.08790 | − | 21.9841i | 0.0429358 | − | 0.867643i | ||||
\(643\) | 7.76497 | − | 13.4493i | 0.306220 | − | 0.530389i | −0.671312 | − | 0.741175i | \(-0.734269\pi\) |
0.977532 | + | 0.210786i | \(0.0676022\pi\) | |||||||
\(644\) | 6.38609 | + | 24.6069i | 0.251647 | + | 0.969649i | ||||
\(645\) | 32.5236 | − | 3.32089i | 1.28062 | − | 0.130760i | ||||
\(646\) | −0.706926 | + | 4.63977i | −0.0278136 | + | 0.182549i | ||||
\(647\) | −21.2347 | + | 36.7795i | −0.834821 | + | 1.44595i | 0.0593553 | + | 0.998237i | \(0.481096\pi\) |
−0.894176 | + | 0.447715i | \(0.852238\pi\) | |||||||
\(648\) | 13.7407 | − | 21.4288i | 0.539784 | − | 0.841804i | ||||
\(649\) | 0.110004 | − | 0.0635110i | 0.00431804 | − | 0.00249302i | ||||
\(650\) | −2.24150 | − | 1.79342i | −0.0879191 | − | 0.0703435i | ||||
\(651\) | −2.37186 | + | 1.83351i | −0.0929605 | + | 0.0718609i | ||||
\(652\) | 25.0629 | − | 5.63614i | 0.981541 | − | 0.220728i | ||||
\(653\) | 45.7962 | 1.79214 | 0.896072 | − | 0.443910i | \(-0.146409\pi\) | ||||
0.896072 | + | 0.443910i | \(0.146409\pi\) | |||||||
\(654\) | −3.34978 | − | 6.52721i | −0.130987 | − | 0.255234i | ||||
\(655\) | − | 22.7646i | − | 0.889487i | ||||||
\(656\) | −17.6801 | − | 37.3222i | −0.690291 | − | 1.45719i | ||||
\(657\) | 9.19937 | + | 44.5780i | 0.358902 | + | 1.73915i | ||||
\(658\) | −3.52805 | + | 29.6390i | −0.137538 | + | 1.15545i | ||||
\(659\) | −37.8619 | + | 21.8596i | −1.47489 | + | 0.851527i | −0.999599 | − | 0.0283024i | \(-0.990990\pi\) |
−0.475289 | + | 0.879830i | \(0.657657\pi\) | |||||||
\(660\) | 12.3220 | − | 13.9294i | 0.479634 | − | 0.542202i | ||||
\(661\) | −30.4522 | + | 17.5816i | −1.18445 | + | 0.683845i | −0.957041 | − | 0.289954i | \(-0.906360\pi\) |
−0.227413 | + | 0.973798i | \(0.573027\pi\) | |||||||
\(662\) | 17.1932 | + | 13.7562i | 0.668232 | + | 0.534649i | ||||
\(663\) | 0.371383 | − | 0.0379208i | 0.0144233 | − | 0.00147272i | ||||
\(664\) | 1.14754 | + | 16.3667i | 0.0445333 | + | 0.635151i | ||||
\(665\) | 31.7609 | − | 59.4201i | 1.23163 | − | 2.30421i | ||||
\(666\) | −14.0223 | + | 27.5169i | −0.543354 | + | 1.06626i | ||||
\(667\) | −15.1670 | + | 8.75664i | −0.587267 | + | 0.339059i | ||||
\(668\) | 5.20258 | − | 4.79640i | 0.201294 | − | 0.185578i | ||||
\(669\) | −33.9865 | + | 3.47026i | −1.31399 | + | 0.134168i | ||||
\(670\) | −2.73824 | − | 7.00987i | −0.105787 | − | 0.270815i | ||||
\(671\) | 8.99986 | − | 15.5882i | 0.347436 | − | 0.601776i | ||||
\(672\) | −15.0942 | + | 21.0752i | −0.582272 | + | 0.812994i | ||||
\(673\) | −14.6335 | − | 25.3459i | −0.564078 | − | 0.977012i | −0.997135 | − | 0.0756454i | \(-0.975898\pi\) |
0.433057 | − | 0.901367i | \(-0.357435\pi\) | |||||||
\(674\) | 3.35427 | − | 4.19235i | 0.129202 | − | 0.161483i | ||||
\(675\) | −17.8366 | + | 5.62054i | −0.686532 | + | 0.216335i | ||||
\(676\) | −5.56482 | − | 24.7458i | −0.214032 | − | 0.951762i | ||||
\(677\) | −6.23026 | − | 3.59704i | −0.239448 | − | 0.138246i | 0.375475 | − | 0.926833i | \(-0.377480\pi\) |
−0.614923 | + | 0.788587i | \(0.710813\pi\) | |||||||
\(678\) | 9.06636 | + | 17.6663i | 0.348191 | + | 0.678468i | ||||
\(679\) | 2.29191 | − | 4.28784i | 0.0879555 | − | 0.164552i | ||||
\(680\) | −2.62739 | + | 1.77291i | −0.100756 | + | 0.0679880i | ||||
\(681\) | −0.920269 | + | 2.05057i | −0.0352648 | + | 0.0785781i | ||||
\(682\) | 1.57769 | − | 0.616287i | 0.0604129 | − | 0.0235989i | ||||
\(683\) | 34.3959 | + | 19.8585i | 1.31612 | + | 0.759863i | 0.983102 | − | 0.183056i | \(-0.0585991\pi\) |
0.333020 | + | 0.942920i | \(0.391932\pi\) | |||||||
\(684\) | −30.3804 | + | 42.3318i | −1.16162 | + | 1.61860i | ||||
\(685\) | − | 55.3905i | − | 2.11636i | ||||||
\(686\) | 1.38833 | − | 26.1548i | 0.0530067 | − | 0.998594i | ||||
\(687\) | 20.6019 | + | 9.24586i | 0.786012 | + | 0.352752i | ||||
\(688\) | 25.6621 | + | 2.08834i | 0.978358 | + | 0.0796173i | ||||
\(689\) | 3.56645 | − | 2.05909i | 0.135871 | − | 0.0784450i | ||||
\(690\) | −18.7105 | + | 28.9964i | −0.712298 | + | 1.10387i | ||||
\(691\) | 3.88972 | − | 6.73719i | 0.147972 | − | 0.256295i | −0.782506 | − | 0.622643i | \(-0.786059\pi\) |
0.930478 | + | 0.366348i | \(0.119392\pi\) | |||||||
\(692\) | 13.4988 | + | 14.6420i | 0.513148 | + | 0.556604i | ||||
\(693\) | 4.11860 | − | 13.9355i | 0.156453 | − | 0.529364i | ||||
\(694\) | −21.8288 | + | 8.52690i | −0.828611 | + | 0.323677i | ||||
\(695\) | −18.1472 | − | 10.4773i | −0.688362 | − | 0.397426i | ||||
\(696\) | −16.7643 | − | 6.15452i | −0.635450 | − | 0.233286i | ||||
\(697\) | −1.97276 | − | 3.41693i | −0.0747237 | − | 0.129425i | ||||
\(698\) | −34.1613 | + | 13.3443i | −1.29303 | + | 0.505089i | ||||
\(699\) | 28.1655 | − | 2.87590i | 1.06532 | − | 0.108776i | ||||
\(700\) | 18.4337 | − | 4.78399i | 0.696729 | − | 0.180818i | ||||
\(701\) | −17.1899 | −0.649253 | −0.324626 | − | 0.945842i | \(-0.605239\pi\) | ||||
−0.324626 | + | 0.945842i | \(0.605239\pi\) | |||||||
\(702\) | 3.86476 | + | 1.49693i | 0.145866 | + | 0.0564981i | ||||
\(703\) | 31.6077 | − | 54.7462i | 1.19211 | − | 2.06479i | ||||
\(704\) | 11.5380 | − | 9.02142i | 0.434855 | − | 0.340007i | ||||
\(705\) | −32.8496 | + | 23.7181i | −1.23719 | + | 0.893276i | ||||
\(706\) | 0.0454987 | − | 0.298622i | 0.00171237 | − | 0.0112388i | ||||
\(707\) | 6.32341 | + | 10.1689i | 0.237816 | + | 0.382442i | ||||
\(708\) | −0.235523 | − | 0.0479010i | −0.00885149 | − | 0.00180023i | ||||
\(709\) | 12.4954 | − | 21.6427i | 0.469276 | − | 0.812810i | −0.530107 | − | 0.847931i | \(-0.677848\pi\) |
0.999383 | + | 0.0351206i | \(0.0111815\pi\) | |||||||
\(710\) | −39.5243 | − | 6.02202i | −1.48332 | − | 0.226002i | ||||
\(711\) | −3.83118 | − | 18.5650i | −0.143680 | − | 0.696242i | ||||
\(712\) | 6.24929 | − | 0.438167i | 0.234202 | − | 0.0164210i | ||||
\(713\) | −2.72190 | + | 1.57149i | −0.101936 | + | 0.0588527i | ||||
\(714\) | −1.27400 | + | 2.12381i | −0.0476783 | + | 0.0794816i | ||||
\(715\) | 2.62222 | + | 1.51394i | 0.0980656 | + | 0.0566182i | ||||
\(716\) | 0.230972 | + | 0.250532i | 0.00863183 | + | 0.00936281i | ||||
\(717\) | 11.4851 | − | 8.29248i | 0.428918 | − | 0.309688i | ||||
\(718\) | 35.9973 | − | 14.0615i | 1.34341 | − | 0.524770i | ||||
\(719\) | 14.2772 | + | 24.7289i | 0.532451 | + | 0.922233i | 0.999282 | + | 0.0378861i | \(0.0120624\pi\) |
−0.466831 | + | 0.884347i | \(0.654604\pi\) | |||||||
\(720\) | −34.9261 | + | 4.29321i | −1.30162 | + | 0.159998i | ||||
\(721\) | 31.5774 | − | 19.6360i | 1.17600 | − | 0.731282i | ||||
\(722\) | 49.8437 | − | 62.2973i | 1.85499 | − | 2.31847i | ||||
\(723\) | −13.3366 | − | 5.98528i | −0.495993 | − | 0.222595i | ||||
\(724\) | 9.18425 | − | 29.4398i | 0.341330 | − | 1.09412i | ||||
\(725\) | 6.55984 | + | 11.3620i | 0.243626 | + | 0.421973i | ||||
\(726\) | 10.1576 | − | 15.7416i | 0.376984 | − | 0.584226i | ||||
\(727\) | −5.98570 | − | 10.3675i | −0.221997 | − | 0.384511i | 0.733417 | − | 0.679779i | \(-0.237924\pi\) |
−0.955414 | + | 0.295268i | \(0.904591\pi\) | |||||||
\(728\) | −3.85226 | − | 1.72436i | −0.142774 | − | 0.0639092i | ||||
\(729\) | 22.1224 | − | 15.4791i | 0.819347 | − | 0.573298i | ||||
\(730\) | 39.3093 | − | 49.1308i | 1.45490 | − | 1.81841i | ||||
\(731\) | 2.45980 | 0.0909790 | ||||||||
\(732\) | −32.2974 | + | 10.8090i | −1.19375 | + | 0.399513i | ||||
\(733\) | − | 15.6160i | − | 0.576791i | −0.957511 | − | 0.288395i | \(-0.906878\pi\) | ||
0.957511 | − | 0.288395i | \(-0.0931217\pi\) | |||||||
\(734\) | 39.3480 | + | 5.99516i | 1.45236 | + | 0.221285i | ||||
\(735\) | 27.4025 | − | 22.6531i | 1.01076 | − | 0.835572i | ||||
\(736\) | −18.6441 | + | 19.7739i | −0.687230 | + | 0.728876i | ||||
\(737\) | 1.66116 | + | 2.87722i | 0.0611897 | + | 0.105984i | ||||
\(738\) | −2.29026 | − | 43.7433i | −0.0843057 | − | 1.61021i | ||||
\(739\) | −14.6499 | − | 8.45814i | −0.538906 | − | 0.311138i | 0.205729 | − | 0.978609i | \(-0.434043\pi\) |
−0.744635 | + | 0.667471i | \(0.767377\pi\) | |||||||
\(740\) | 41.6520 | − | 9.36668i | 1.53116 | − | 0.344326i | ||||
\(741\) | −7.73969 | − | 3.47347i | −0.284325 | − | 0.127601i | ||||
\(742\) | −3.22929 | + | 27.1291i | −0.118551 | + | 0.995940i | ||||
\(743\) | −11.3689 | − | 6.56386i | −0.417086 | − | 0.240805i | 0.276744 | − | 0.960944i | \(-0.410745\pi\) |
−0.693830 | + | 0.720139i | \(0.744078\pi\) | |||||||
\(744\) | −3.00857 | − | 1.10450i | −0.110299 | − | 0.0404931i | ||||
\(745\) | − | 28.7833i | − | 1.05454i | ||||||
\(746\) | −9.54181 | − | 1.45381i | −0.349350 | − | 0.0532279i | ||||
\(747\) | −5.47561 | + | 16.5182i | −0.200342 | + | 0.604370i | ||||
\(748\) | 1.02877 | − | 0.948455i | 0.0376157 | − | 0.0346789i | ||||
\(749\) | −11.2073 | + | 20.9673i | −0.409506 | + | 0.766128i | ||||
\(750\) | −8.45541 | − | 5.45603i | −0.308748 | − | 0.199226i | ||||
\(751\) | − | 18.9699i | − | 0.692221i | −0.938194 | − | 0.346111i | \(-0.887502\pi\) | ||
0.938194 | − | 0.346111i | \(-0.112498\pi\) | |||||||
\(752\) | −28.8371 | + | 13.6606i | −1.05158 | + | 0.498149i | ||||
\(753\) | 9.44479 | − | 21.0452i | 0.344187 | − | 0.766929i | ||||
\(754\) | 0.437949 | − | 2.87439i | 0.0159492 | − | 0.104679i | ||||
\(755\) | −11.0043 | −0.400486 | ||||||||
\(756\) | −23.3076 | + | 14.5862i | −0.847688 | + | 0.530496i | ||||
\(757\) | 30.3460 | 1.10294 | 0.551471 | − | 0.834194i | \(-0.314067\pi\) | ||||
0.551471 | + | 0.834194i | \(0.314067\pi\) | |||||||
\(758\) | −5.24302 | + | 34.4115i | −0.190435 | + | 1.24988i | ||||
\(759\) | 6.23767 | − | 13.8990i | 0.226413 | − | 0.504501i | ||||
\(760\) | 71.8513 | − | 5.03783i | 2.60632 | − | 0.182741i | ||||
\(761\) | − | 24.5770i | − | 0.890916i | −0.895303 | − | 0.445458i | \(-0.853041\pi\) | ||
0.895303 | − | 0.445458i | \(-0.146959\pi\) | |||||||
\(762\) | −11.6914 | − | 7.54411i | −0.423534 | − | 0.273294i | ||||
\(763\) | 0.259262 | + | 7.92018i | 0.00938591 | + | 0.286730i | ||||
\(764\) | 19.6140 | + | 21.2750i | 0.709610 | + | 0.769702i | ||||
\(765\) | −3.29250 | + | 0.679457i | −0.119040 | + | 0.0245658i | ||||
\(766\) | −43.4990 | − | 6.62762i | −1.57168 | − | 0.239466i | ||||
\(767\) | − | 0.0391311i | − | 0.00141294i | ||||||
\(768\) | −27.6619 | − | 1.67961i | −0.998162 | − | 0.0606076i | ||||
\(769\) | −11.7047 | − | 6.75773i | −0.422083 | − | 0.243690i | 0.273885 | − | 0.961762i | \(-0.411691\pi\) |
−0.695968 | + | 0.718073i | \(0.745025\pi\) | |||||||
\(770\) | −18.4614 | + | 7.91707i | −0.665304 | + | 0.285312i | ||||
\(771\) | 3.66617 | + | 1.64533i | 0.132034 | + | 0.0592551i | ||||
\(772\) | −8.71995 | − | 38.7761i | −0.313838 | − | 1.39558i | ||||
\(773\) | −41.3688 | − | 23.8843i | −1.48793 | − | 0.859059i | −0.488028 | − | 0.872828i | \(-0.662284\pi\) |
−0.999905 | + | 0.0137693i | \(0.995617\pi\) | |||||||
\(774\) | 24.3316 | + | 12.3991i | 0.874582 | + | 0.445678i | ||||
\(775\) | 1.17725 | + | 2.03905i | 0.0422879 | + | 0.0732448i | ||||
\(776\) | 5.18490 | − | 0.363537i | 0.186127 | − | 0.0130502i | ||||
\(777\) | 26.3921 | − | 20.4018i | 0.946810 | − | 0.731909i | ||||
\(778\) | 20.1105 | + | 3.06408i | 0.720996 | + | 0.109853i | ||||
\(779\) | 89.6602i | 3.21241i | ||||||||
\(780\) | −1.81827 | − | 5.43302i | −0.0651047 | − | 0.194533i | ||||
\(781\) | 17.6499 | 0.631564 | ||||||||
\(782\) | −1.62211 | + | 2.02740i | −0.0580067 | + | 0.0724998i | ||||
\(783\) | −13.9631 | − | 12.7991i | −0.498999 | − | 0.457404i | ||||
\(784\) | 24.4663 | − | 13.6163i | 0.873795 | − | 0.486295i | ||||
\(785\) | −9.60296 | − | 16.6328i | −0.342744 | − | 0.593651i | ||||
\(786\) | 10.3101 | − | 15.9780i | 0.367750 | − | 0.569915i | ||||
\(787\) | −3.97010 | − | 6.87641i | −0.141519 | − | 0.245118i | 0.786550 | − | 0.617527i | \(-0.211865\pi\) |
−0.928069 | + | 0.372409i | \(0.878532\pi\) | |||||||
\(788\) | −35.7183 | − | 11.1429i | −1.27241 | − | 0.396951i | ||||
\(789\) | 44.9301 | + | 20.1640i | 1.59955 | + | 0.717858i | ||||
\(790\) | −16.3708 | + | 20.4611i | −0.582446 | + | 0.727972i | ||||
\(791\) | −0.701706 | − | 21.4364i | −0.0249498 | − | 0.762190i | ||||
\(792\) | 14.9572 | − | 4.19608i | 0.531481 | − | 0.149101i | ||||
\(793\) | −2.77255 | − | 4.80220i | −0.0984561 | − | 0.170531i | ||||
\(794\) | −4.57414 | + | 1.78678i | −0.162330 | + | 0.0634103i | ||||
\(795\) | −30.0679 | + | 21.7096i | −1.06640 | + | 0.769962i | ||||
\(796\) | −4.23910 | + | 3.90814i | −0.150251 | + | 0.138520i | ||||
\(797\) | −22.6742 | − | 13.0910i | −0.803162 | − | 0.463706i | 0.0414133 | − | 0.999142i | \(-0.486814\pi\) |
−0.844576 | + | 0.535436i | \(0.820147\pi\) | |||||||
\(798\) | 49.2037 | − | 27.3211i | 1.74179 | − | 0.967155i | ||||
\(799\) | −2.64009 | + | 1.52426i | −0.0933998 | + | 0.0539244i | ||||
\(800\) | 14.8132 | + | 13.9668i | 0.523725 | + | 0.493800i | ||||
\(801\) | 6.30715 | + | 2.09075i | 0.222852 | + | 0.0738731i | ||||
\(802\) | −47.5118 | − | 7.23901i | −1.67770 | − | 0.255618i | ||||
\(803\) | −13.8887 | + | 24.0559i | −0.490121 | + | 0.848914i | ||||
\(804\) | 1.25287 | − | 6.16022i | 0.0441855 | − | 0.217254i | ||||
\(805\) | 31.6532 | − | 19.6832i | 1.11563 | − | 0.693740i | ||||
\(806\) | 0.0785955 | − | 0.515845i | 0.00276841 | − | 0.0181699i | ||||
\(807\) | −22.0496 | + | 15.9203i | −0.776182 | + | 0.560420i | ||||
\(808\) | −5.60964 | + | 11.5069i | −0.197346 | + | 0.404812i | ||||
\(809\) | −20.3769 | + | 35.2939i | −0.716414 | + | 1.24087i | 0.245997 | + | 0.969271i | \(0.420885\pi\) |
−0.962412 | + | 0.271595i | \(0.912449\pi\) | |||||||
\(810\) | −35.9933 | − | 9.87552i | −1.26468 | − | 0.346990i | ||||
\(811\) | 3.31693 | 0.116473 | 0.0582367 | − | 0.998303i | \(-0.481452\pi\) | ||||
0.0582367 | + | 0.998303i | \(0.481452\pi\) | |||||||
\(812\) | 13.5317 | + | 13.7465i | 0.474868 | + | 0.482409i | ||||
\(813\) | −0.838795 | + | 0.0856468i | −0.0294178 | + | 0.00300377i | ||||
\(814\) | −17.5552 | + | 6.85753i | −0.615310 | + | 0.240356i | ||||
\(815\) | −18.8326 | − | 32.6190i | −0.659677 | − | 1.14259i | ||||
\(816\) | −2.64706 | + | 0.0544174i | −0.0926656 | + | 0.00190499i | ||||
\(817\) | −48.4089 | − | 27.9489i | −1.69361 | − | 0.977808i | ||||
\(818\) | −18.8241 | + | 7.35319i | −0.658170 | + | 0.257098i | ||||
\(819\) | −3.08348 | − | 3.24533i | −0.107746 | − | 0.113401i | ||||
\(820\) | −44.5190 | + | 41.0433i | −1.55467 | + | 1.43329i | ||||
\(821\) | −20.0038 | + | 34.6476i | −0.698137 | + | 1.20921i | 0.270974 | + | 0.962587i | \(0.412654\pi\) |
−0.969112 | + | 0.246623i | \(0.920679\pi\) | |||||||
\(822\) | 25.0864 | − | 38.8773i | 0.874990 | − | 1.35600i | ||||
\(823\) | 6.06307 | − | 3.50051i | 0.211345 | − | 0.122020i | −0.390591 | − | 0.920564i | \(-0.627729\pi\) |
0.601936 | + | 0.798544i | \(0.294396\pi\) | |||||||
\(824\) | 35.7322 | + | 17.4195i | 1.24479 | + | 0.606838i | ||||
\(825\) | −10.4121 | − | 4.67281i | −0.362503 | − | 0.162686i | ||||
\(826\) | 0.207903 | + | 0.155465i | 0.00723388 | + | 0.00540931i | ||||
\(827\) | − | 25.4507i | − | 0.885008i | −0.896766 | − | 0.442504i | \(-0.854090\pi\) | ||
0.896766 | − | 0.442504i | \(-0.145910\pi\) | |||||||
\(828\) | −26.2650 | + | 11.8779i | −0.912773 | + | 0.412785i | ||||
\(829\) | 5.05603 | + | 2.91910i | 0.175603 | + | 0.101385i | 0.585225 | − | 0.810871i | \(-0.301006\pi\) |
−0.409622 | + | 0.912255i | \(0.634339\pi\) | |||||||
\(830\) | 22.4070 | − | 8.75276i | 0.777758 | − | 0.303813i | ||||
\(831\) | 5.27789 | − | 11.7604i | 0.183088 | − | 0.407963i | ||||
\(832\) | −0.629618 | − | 4.46785i | −0.0218281 | − | 0.154895i | ||||
\(833\) | 2.22423 | − | 1.48617i | 0.0770651 | − | 0.0514928i | ||||
\(834\) | −7.99193 | − | 15.5727i | −0.276738 | − | 0.539237i | ||||
\(835\) | −8.98513 | − | 5.18757i | −0.310943 | − | 0.179523i | ||||
\(836\) | −31.0229 | + | 6.97640i | −1.07295 | + | 0.241284i | ||||
\(837\) | −2.50585 | − | 2.29697i | −0.0866147 | − | 0.0793948i | ||||
\(838\) | −5.76217 | + | 7.20187i | −0.199051 | + | 0.248784i | ||||
\(839\) | 11.3989 | + | 19.7435i | 0.393534 | + | 0.681621i | 0.992913 | − | 0.118845i | \(-0.0379190\pi\) |
−0.599379 | + | 0.800465i | \(0.704586\pi\) | |||||||
\(840\) | 36.0894 | + | 11.9245i | 1.24520 | + | 0.411434i | ||||
\(841\) | 7.85583 | − | 13.6067i | 0.270891 | − | 0.469196i | ||||
\(842\) | 3.61474 | + | 9.25370i | 0.124572 | + | 0.318904i | ||||
\(843\) | −45.5973 | + | 4.65580i | −1.57045 | + | 0.160354i | ||||
\(844\) | 26.2277 | + | 28.4488i | 0.902795 | + | 0.979248i | ||||
\(845\) | −32.2063 | + | 18.5943i | −1.10793 | + | 0.639663i | ||||
\(846\) | −33.7984 | + | 1.76958i | −1.16201 | + | 0.0608393i | ||||
\(847\) | −17.1840 | + | 10.6856i | −0.590448 | + | 0.367162i | ||||
\(848\) | −26.3951 | + | 12.5038i | −0.906412 | + | 0.429381i | ||||
\(849\) | −50.6608 | + | 5.17282i | −1.73867 | + | 0.177531i | ||||
\(850\) | 1.51878 | + | 1.21517i | 0.0520938 | + | 0.0416800i | ||||
\(851\) | 30.2870 | − | 17.4862i | 1.03823 | − | 0.599420i | ||||
\(852\) | −25.0138 | − | 22.1274i | −0.856960 | − | 0.758071i | ||||
\(853\) | −14.0823 | + | 8.13042i | −0.482169 | + | 0.278380i | −0.721320 | − | 0.692602i | \(-0.756464\pi\) |
0.239151 | + | 0.970982i | \(0.423131\pi\) | |||||||
\(854\) | 36.5291 | + | 4.34822i | 1.25000 | + | 0.148793i | ||||
\(855\) | 72.5165 | + | 24.0385i | 2.48001 | + | 0.822098i | ||||
\(856\) | −25.3539 | + | 1.77768i | −0.866577 | + | 0.0607597i | ||||
\(857\) | 7.51937i | 0.256857i | 0.991719 | + | 0.128428i | \(0.0409932\pi\) | ||||
−0.991719 | + | 0.128428i | \(0.959007\pi\) | |||||||
\(858\) | 1.15481 | + | 2.25021i | 0.0394247 | + | 0.0768209i | ||||
\(859\) | −28.3717 | −0.968031 | −0.484016 | − | 0.875059i | \(-0.660822\pi\) | ||||
−0.484016 | + | 0.875059i | \(0.660822\pi\) | |||||||
\(860\) | −8.28242 | − | 36.8305i | −0.282428 | − | 1.25591i | ||||
\(861\) | −17.9494 | + | 43.7759i | −0.611713 | + | 1.49188i | ||||
\(862\) | 21.4218 | + | 17.1395i | 0.729630 | + | 0.583773i | ||||
\(863\) | −3.94874 | + | 2.27980i | −0.134417 | + | 0.0776054i | −0.565700 | − | 0.824611i | \(-0.691394\pi\) |
0.431284 | + | 0.902216i | \(0.358061\pi\) | |||||||
\(864\) | −26.4582 | − | 12.8048i | −0.900127 | − | 0.435627i | ||||
\(865\) | 14.5997 | − | 25.2874i | 0.496405 | − | 0.859799i | ||||
\(866\) | −4.37186 | + | 28.6938i | −0.148562 | + | 0.975056i | ||||
\(867\) | 29.0409 | − | 2.96528i | 0.986281 | − | 0.100706i | ||||
\(868\) | 2.42843 | + | 2.46699i | 0.0824262 | + | 0.0837351i | ||||
\(869\) | 5.78409 | − | 10.0183i | 0.196212 | − | 0.339849i | ||||
\(870\) | −1.29415 | + | 26.1520i | −0.0438757 | + | 0.886636i | ||||
\(871\) | 1.02350 | 0.0346798 | ||||||||
\(872\) | −7.02236 | + | 4.73855i | −0.237807 | + | 0.160468i | ||||
\(873\) | 5.23290 | + | 1.73465i | 0.177107 | + | 0.0587091i | ||||
\(874\) | 54.9591 | − | 21.4685i | 1.85902 | − | 0.726181i | ||||
\(875\) | 5.73965 | + | 9.23015i | 0.194036 | + | 0.312036i | ||||
\(876\) | 49.8417 | − | 16.6806i | 1.68400 | − | 0.563585i | ||||
\(877\) | −27.6128 | −0.932419 | −0.466210 | − | 0.884674i | \(-0.654381\pi\) | ||||
−0.466210 | + | 0.884674i | \(0.654381\pi\) | |||||||
\(878\) | −6.17927 | + | 7.72318i | −0.208540 | + | 0.260645i | ||||
\(879\) | 22.2287 | − | 16.0496i | 0.749755 | − | 0.541339i | ||||
\(880\) | −17.6652 | − | 12.2102i | −0.595493 | − | 0.411607i | ||||
\(881\) | − | 10.3088i | − | 0.347313i | −0.984806 | − | 0.173657i | \(-0.944442\pi\) | ||
0.984806 | − | 0.173657i | \(-0.0555583\pi\) | |||||||
\(882\) | 29.4928 | − | 3.48905i | 0.993075 | − | 0.117482i | ||||
\(883\) | − | 33.0806i | − | 1.11325i | −0.830764 | − | 0.556625i | \(-0.812096\pi\) | ||
0.830764 | − | 0.556625i | \(-0.187904\pi\) | |||||||
\(884\) | −0.0945759 | − | 0.420563i | −0.00318093 | − | 0.0141451i | ||||
\(885\) | 0.0357958 | + | 0.350572i | 0.00120326 | + | 0.0117843i | ||||
\(886\) | 3.57255 | + | 2.85838i | 0.120022 | + | 0.0960290i | ||||
\(887\) | −7.17805 | −0.241015 | −0.120508 | − | 0.992712i | \(-0.538452\pi\) | ||||
−0.120508 | + | 0.992712i | \(0.538452\pi\) | |||||||
\(888\) | 33.4768 | + | 12.2900i | 1.12341 | + | 0.412425i | ||||
\(889\) | 7.93626 | + | 12.7626i | 0.266174 | + | 0.428044i | ||||
\(890\) | −3.34206 | − | 8.55566i | −0.112026 | − | 0.286787i | ||||
\(891\) | 16.3651 | + | 1.91656i | 0.548253 | + | 0.0642073i | ||||
\(892\) | 8.65496 | + | 38.4871i | 0.289789 | + | 1.28864i | ||||
\(893\) | 69.2761 | 2.31824 | ||||||||
\(894\) | 13.0360 | − | 20.2023i | 0.435989 | − | 0.675667i | ||||
\(895\) | 0.249809 | − | 0.432682i | 0.00835019 | − | 0.0144630i | ||||
\(896\) | 26.2391 | + | 14.4053i | 0.876586 | + | 0.481246i | ||||
\(897\) | −2.74734 | − | 3.80507i | −0.0917310 | − | 0.127047i | ||||
\(898\) | −21.0780 | − | 3.21150i | −0.703383 | − | 0.107169i | ||||
\(899\) | −1.19238 | + | 2.06526i | −0.0397681 | + | 0.0688803i | ||||
\(900\) | 8.89804 | + | 19.6758i | 0.296601 | + | 0.655861i | ||||
\(901\) | −2.41653 | + | 1.39518i | −0.0805062 | + | 0.0464803i | ||||
\(902\) | 16.7001 | − | 20.8727i | 0.556053 | − | 0.694985i | ||||
\(903\) | −18.0401 | − | 23.3370i | −0.600337 | − | 0.776607i | ||||
\(904\) | 19.0064 | − | 12.8251i | 0.632143 | − | 0.426558i | ||||
\(905\) | −45.2166 | −1.50305 | ||||||||
\(906\) | −7.72364 | − | 4.98385i | −0.256601 | − | 0.165577i | ||||
\(907\) | − | 17.7340i | − | 0.588847i | −0.955675 | − | 0.294423i | \(-0.904872\pi\) | ||
0.955675 | − | 0.294423i | \(-0.0951276\pi\) | |||||||
\(908\) | 2.47755 | + | 0.772914i | 0.0822204 | + | 0.0256501i | ||||
\(909\) | −10.1441 | + | 9.02545i | −0.336459 | + | 0.299355i | ||||
\(910\) | −0.731451 | + | 6.14487i | −0.0242474 | + | 0.203701i | ||||
\(911\) | 29.3352 | − | 16.9367i | 0.971918 | − | 0.561137i | 0.0720973 | − | 0.997398i | \(-0.477031\pi\) |
0.899820 | + | 0.436261i | \(0.143697\pi\) | |||||||
\(912\) | 52.7125 | + | 29.0056i | 1.74548 | + | 0.960473i | ||||
\(913\) | −9.19701 | + | 5.30989i | −0.304377 | + | 0.175732i | ||||
\(914\) | 23.7718 | − | 29.7113i | 0.786303 | − | 0.982763i | ||||
\(915\) | 29.2319 | + | 40.4862i | 0.966377 | + | 1.33843i | ||||
\(916\) | 7.76540 | − | 24.8917i | 0.256576 | − | 0.822446i | ||||
\(917\) | −17.4420 | + | 10.8461i | −0.575985 | + | 0.358169i | ||||
\(918\) | −2.61866 | − | 1.01428i | −0.0864285 | − | 0.0334762i | ||||
\(919\) | −45.7550 | + | 26.4167i | −1.50932 | + | 0.871406i | −0.509378 | + | 0.860543i | \(0.670124\pi\) |
−0.999941 | + | 0.0108626i | \(0.996542\pi\) | |||||||
\(920\) | 35.8181 | + | 17.4614i | 1.18089 | + | 0.575684i | ||||
\(921\) | 1.62177 | − | 3.61368i | 0.0534392 | − | 0.119075i | ||||
\(922\) | −20.3813 | + | 7.96146i | −0.671222 | + | 0.262197i | ||||
\(923\) | 2.71867 | − | 4.70887i | 0.0894861 | − | 0.154994i | ||||
\(924\) | −16.5433 | − | 2.80440i | −0.544235 | − | 0.0922580i | ||||
\(925\) | −13.0994 | − | 22.6888i | −0.430705 | − | 0.746004i | ||||
\(926\) | 6.60659 | + | 5.28590i | 0.217106 | + | 0.173705i | ||||
\(927\) | 28.0266 | + | 31.5004i | 0.920513 | + | 1.03461i | ||||
\(928\) | −4.74929 | + | 20.0667i | −0.155903 | + | 0.658721i | ||||
\(929\) | 35.8534 | + | 20.7000i | 1.17631 | + | 0.679144i | 0.955159 | − | 0.296095i | \(-0.0956844\pi\) |
0.221154 | + | 0.975239i | \(0.429018\pi\) | |||||||
\(930\) | −0.232251 | + | 4.69331i | −0.00761581 | + | 0.153900i | ||||
\(931\) | −60.6592 | + | 3.97554i | −1.98803 | + | 0.130293i | ||||
\(932\) | −7.17260 | − | 31.8953i | −0.234946 | − | 1.04477i | ||||
\(933\) | 9.65229 | − | 0.985566i | 0.316002 | − | 0.0322660i | ||||
\(934\) | 16.4749 | + | 42.1757i | 0.539075 | + | 1.38003i | ||||
\(935\) | −1.77675 | − | 1.02581i | −0.0581059 | − | 0.0335474i | ||||
\(936\) | 1.18442 | − | 4.63681i | 0.0387139 | − | 0.151559i | ||||
\(937\) | 34.0441i | 1.11217i | 0.831125 | + | 0.556086i | \(0.187697\pi\) | ||||
−0.831125 | + | 0.556086i | \(0.812303\pi\) | |||||||
\(938\) | −4.06626 | + | 5.43782i | −0.132768 | + | 0.177551i | ||||
\(939\) | 12.3801 | − | 8.93869i | 0.404009 | − | 0.291703i | ||||
\(940\) | 31.7122 | + | 34.3977i | 1.03434 | + | 1.12193i | ||||
\(941\) | 39.3815 | − | 22.7369i | 1.28380 | − | 0.741203i | 0.306260 | − | 0.951948i | \(-0.400922\pi\) |
0.977541 | + | 0.210745i | \(0.0675889\pi\) | |||||||
\(942\) | 0.792927 | − | 16.0234i | 0.0258350 | − | 0.522070i | ||||
\(943\) | −24.8012 | + | 42.9569i | −0.807638 | + | 1.39887i | ||||
\(944\) | −0.0225102 | + | 0.276612i | −0.000732645 | + | 0.00900294i | ||||
\(945\) | 30.5933 | + | 26.2539i | 0.995201 | + | 0.854041i | ||||
\(946\) | 6.06372 | + | 15.5231i | 0.197149 | + | 0.504699i | ||||
\(947\) | −32.1310 | − | 18.5508i | −1.04412 | − | 0.602822i | −0.123121 | − | 0.992392i | \(-0.539290\pi\) |
−0.920997 | + | 0.389570i | \(0.872624\pi\) | |||||||
\(948\) | −20.7571 | + | 6.94681i | −0.674160 | + | 0.225622i | ||||
\(949\) | 4.27863 | + | 7.41080i | 0.138890 | + | 0.240565i | ||||
\(950\) | −16.0826 | − | 41.1714i | −0.521788 | − | 1.33578i | ||||
\(951\) | 3.25109 | + | 4.50276i | 0.105424 | + | 0.146012i | ||||
\(952\) | 2.61019 | + | 1.16838i | 0.0845967 | + | 0.0378675i | ||||
\(953\) | 28.7039 | 0.929812 | 0.464906 | − | 0.885360i | \(-0.346088\pi\) | ||||
0.464906 | + | 0.885360i | \(0.346088\pi\) | |||||||
\(954\) | −30.9363 | + | 1.61973i | −1.00160 | + | 0.0524405i | ||||
\(955\) | 21.2136 | − | 36.7431i | 0.686457 | − | 1.18898i | ||||
\(956\) | −11.0874 | − | 12.0263i | −0.358592 | − | 0.388959i | ||||
\(957\) | −1.17418 | − | 11.4995i | −0.0379558 | − | 0.371726i | ||||
\(958\) | −33.3811 | − | 5.08603i | −1.07849 | − | 0.164322i | ||||
\(959\) | −42.4395 | + | 26.3905i | −1.37044 | + | 0.852193i | ||||
\(960\) | 9.72773 | + | 39.4511i | 0.313961 | + | 1.27328i | ||||
\(961\) | 15.2860 | − | 26.4762i | 0.493097 | − | 0.854069i | ||||
\(962\) | −0.874544 | + | 5.73989i | −0.0281964 | + | 0.185062i | ||||
\(963\) | −25.5886 | − | 8.48235i | −0.824581 | − | 0.273340i | ||||
\(964\) | −5.02690 | + | 16.1136i | −0.161906 | + | 0.518983i | ||||
\(965\) | −50.4665 | + | 29.1368i | −1.62457 | + | 0.937948i | ||||
\(966\) | 31.1312 | + | 0.520643i | 1.00163 | + | 0.0167514i | ||||
\(967\) | −15.4417 | − | 8.91526i | −0.496571 | − | 0.286695i | 0.230725 | − | 0.973019i | \(-0.425890\pi\) |
−0.727296 | + | 0.686324i | \(0.759223\pi\) | |||||||
\(968\) | −19.4450 | − | 9.47945i | −0.624985 | − | 0.304681i | ||||
\(969\) | 5.24420 | + | 2.35353i | 0.168468 | + | 0.0756062i | ||||
\(970\) | −2.77284 | − | 7.09845i | −0.0890305 | − | 0.227918i | ||||
\(971\) | 11.4504 | + | 19.8326i | 0.367460 | + | 0.636459i | 0.989168 | − | 0.146790i | \(-0.0468942\pi\) |
−0.621708 | + | 0.783249i | \(0.713561\pi\) | |||||||
\(972\) | −20.7903 | − | 23.2328i | −0.666848 | − | 0.745194i | ||||
\(973\) | 0.618549 | + | 18.8960i | 0.0198298 | + | 0.605778i | ||||
\(974\) | 4.73042 | + | 3.78478i | 0.151572 | + | 0.121272i | ||||
\(975\) | −2.85048 | + | 2.05811i | −0.0912883 | + | 0.0659121i | ||||
\(976\) | 16.8362 | + | 35.5409i | 0.538915 | + | 1.13764i | ||||
\(977\) | 19.0964 | + | 33.0759i | 0.610947 | + | 1.05819i | 0.991081 | + | 0.133260i | \(0.0425445\pi\) |
−0.380134 | + | 0.924931i | \(0.624122\pi\) | |||||||
\(978\) | 1.55503 | − | 31.4238i | 0.0497243 | − | 1.00482i | ||||
\(979\) | 2.02748 | + | 3.51169i | 0.0647984 | + | 0.112234i | ||||
\(980\) | −29.7416 | − | 28.2993i | −0.950062 | − | 0.903987i | ||||
\(981\) | −8.80002 | + | 1.81602i | −0.280963 | + | 0.0579811i | ||||
\(982\) | 8.42041 | + | 6.73712i | 0.268706 | + | 0.214990i | ||||
\(983\) | 4.41019 | 0.140663 | 0.0703316 | − | 0.997524i | \(-0.477594\pi\) | ||||
0.0703316 | + | 0.997524i | \(0.477594\pi\) | |||||||
\(984\) | −49.8354 | + | 8.64462i | −1.58870 | + | 0.275581i | ||||
\(985\) | 54.8598i | 1.74798i | ||||||||
\(986\) | −0.296742 | + | 1.94761i | −0.00945021 | + | 0.0620245i | ||||
\(987\) | 33.8236 | + | 13.8686i | 1.07662 | + | 0.441443i | ||||
\(988\) | −2.91729 | + | 9.35128i | −0.0928114 | + | 0.297504i | ||||
\(989\) | −15.4621 | − | 26.7811i | −0.491665 | − | 0.851589i | ||||
\(990\) | −12.4043 | − | 19.1030i | −0.394234 | − | 0.607134i | ||||
\(991\) | 46.5115 | + | 26.8534i | 1.47749 | + | 0.853027i | 0.999676 | − | 0.0254358i | \(-0.00809734\pi\) |
0.477810 | + | 0.878463i | \(0.341431\pi\) | |||||||
\(992\) | −0.852319 | + | 3.60121i | −0.0270612 | + | 0.114339i | ||||
\(993\) | 21.8642 | − | 15.7864i | 0.693841 | − | 0.500968i | ||||
\(994\) | 14.2171 | + | 33.1522i | 0.450940 | + | 1.05153i | ||||
\(995\) | 7.32115 | + | 4.22687i | 0.232096 | + | 0.134001i | ||||
\(996\) | 19.6911 | + | 4.00481i | 0.623937 | + | 0.126897i | ||||
\(997\) | 41.2717i | 1.30709i | 0.756888 | + | 0.653544i | \(0.226719\pi\) | ||||
−0.756888 | + | 0.653544i | \(0.773281\pi\) | |||||||
\(998\) | −4.43746 | + | 29.1244i | −0.140465 | + | 0.921917i | ||||
\(999\) | 27.8829 | + | 25.5587i | 0.882177 | + | 0.808642i |
(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 | 252.2.n.b.31.3 | ✓ | 84 | |
3.2 | odd | 2 | 756.2.n.b.199.40 | 84 | |||
4.3 | odd | 2 | inner | 252.2.n.b.31.32 | yes | 84 | |
7.5 | odd | 6 | 252.2.bj.b.103.26 | yes | 84 | ||
9.2 | odd | 6 | 756.2.bj.b.451.17 | 84 | |||
9.7 | even | 3 | 252.2.bj.b.115.26 | yes | 84 | ||
12.11 | even | 2 | 756.2.n.b.199.11 | 84 | |||
21.5 | even | 6 | 756.2.bj.b.523.17 | 84 | |||
28.19 | even | 6 | 252.2.bj.b.103.25 | yes | 84 | ||
36.7 | odd | 6 | 252.2.bj.b.115.25 | yes | 84 | ||
36.11 | even | 6 | 756.2.bj.b.451.18 | 84 | |||
63.47 | even | 6 | 756.2.n.b.19.11 | 84 | |||
63.61 | odd | 6 | inner | 252.2.n.b.187.32 | yes | 84 | |
84.47 | odd | 6 | 756.2.bj.b.523.18 | 84 | |||
252.47 | odd | 6 | 756.2.n.b.19.40 | 84 | |||
252.187 | even | 6 | inner | 252.2.n.b.187.3 | yes | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.n.b.31.3 | ✓ | 84 | 1.1 | even | 1 | trivial | |
252.2.n.b.31.32 | yes | 84 | 4.3 | odd | 2 | inner | |
252.2.n.b.187.3 | yes | 84 | 252.187 | even | 6 | inner | |
252.2.n.b.187.32 | yes | 84 | 63.61 | odd | 6 | inner | |
252.2.bj.b.103.25 | yes | 84 | 28.19 | even | 6 | ||
252.2.bj.b.103.26 | yes | 84 | 7.5 | odd | 6 | ||
252.2.bj.b.115.25 | yes | 84 | 36.7 | odd | 6 | ||
252.2.bj.b.115.26 | yes | 84 | 9.7 | even | 3 | ||
756.2.n.b.19.11 | 84 | 63.47 | even | 6 | |||
756.2.n.b.19.40 | 84 | 252.47 | odd | 6 | |||
756.2.n.b.199.11 | 84 | 12.11 | even | 2 | |||
756.2.n.b.199.40 | 84 | 3.2 | odd | 2 | |||
756.2.bj.b.451.17 | 84 | 9.2 | odd | 6 | |||
756.2.bj.b.451.18 | 84 | 36.11 | even | 6 | |||
756.2.bj.b.523.17 | 84 | 21.5 | even | 6 | |||
756.2.bj.b.523.18 | 84 | 84.47 | odd | 6 |