Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(2,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bv (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 137.26 | ||
Character | \(\chi\) | \(=\) | 273.137 |
Dual form | 273.2.bv.b.2.26 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32954 | − | 1.32954i | 0.940128 | − | 0.940128i | −0.0581778 | − | 0.998306i | \(-0.518529\pi\) |
0.998306 | + | 0.0581778i | \(0.0185290\pi\) | |||||||
\(3\) | 1.33632 | − | 1.10193i | 0.771526 | − | 0.636198i | ||||
\(4\) | − | 1.53537i | − | 0.767683i | ||||||
\(5\) | −3.58803 | − | 0.961410i | −1.60462 | − | 0.429956i | −0.658184 | − | 0.752857i | \(-0.728675\pi\) |
−0.946433 | + | 0.322902i | \(0.895342\pi\) | |||||||
\(6\) | 0.311637 | − | 3.24176i | 0.127225 | − | 1.32344i | ||||
\(7\) | 0.951973 | − | 2.46855i | 0.359812 | − | 0.933025i | ||||
\(8\) | 0.617751 | + | 0.617751i | 0.218408 | + | 0.218408i | ||||
\(9\) | 0.571512 | − | 2.94506i | 0.190504 | − | 0.981686i | ||||
\(10\) | −6.04868 | + | 3.49220i | −1.91276 | + | 1.10433i | ||||
\(11\) | −1.45862 | + | 5.44364i | −0.439790 | + | 1.64132i | 0.289546 | + | 0.957164i | \(0.406496\pi\) |
−0.729336 | + | 0.684155i | \(0.760171\pi\) | |||||||
\(12\) | −1.69186 | − | 2.05174i | −0.488398 | − | 0.592287i | ||||
\(13\) | 3.45021 | − | 1.04692i | 0.956917 | − | 0.290362i | ||||
\(14\) | −2.01636 | − | 4.54773i | −0.538894 | − | 1.21543i | ||||
\(15\) | −5.85417 | + | 2.66900i | −1.51154 | + | 0.689132i | ||||
\(16\) | 4.71338 | 1.17835 | ||||||||
\(17\) | 0.604596 | 0.146636 | 0.0733180 | − | 0.997309i | \(-0.476641\pi\) | ||||
0.0733180 | + | 0.997309i | \(0.476641\pi\) | |||||||
\(18\) | −3.15573 | − | 4.67543i | −0.743813 | − | 1.10201i | ||||
\(19\) | −2.61452 | + | 0.700557i | −0.599811 | + | 0.160719i | −0.545933 | − | 0.837829i | \(-0.683825\pi\) |
−0.0538778 | + | 0.998548i | \(0.517158\pi\) | |||||||
\(20\) | −1.47612 | + | 5.50894i | −0.330070 | + | 1.23184i | ||||
\(21\) | −1.44802 | − | 4.34778i | −0.315984 | − | 0.948764i | ||||
\(22\) | 5.29825 | + | 9.17685i | 1.12959 | + | 1.95651i | ||||
\(23\) | 2.73302 | 0.569874 | 0.284937 | − | 0.958546i | \(-0.408027\pi\) | ||||
0.284937 | + | 0.958546i | \(0.408027\pi\) | |||||||
\(24\) | 1.50623 | + | 0.144797i | 0.307458 | + | 0.0295566i | ||||
\(25\) | 7.61953 | + | 4.39914i | 1.52391 | + | 0.879828i | ||||
\(26\) | 3.19528 | − | 5.97912i | 0.626647 | − | 1.17260i | ||||
\(27\) | −2.48152 | − | 4.56531i | −0.477568 | − | 0.878595i | ||||
\(28\) | −3.79013 | − | 1.46163i | −0.716267 | − | 0.276222i | ||||
\(29\) | −0.0469632 | − | 0.0271142i | −0.00872085 | − | 0.00503499i | 0.495633 | − | 0.868532i | \(-0.334936\pi\) |
−0.504354 | + | 0.863497i | \(0.668269\pi\) | |||||||
\(30\) | −4.23482 | + | 11.3319i | −0.773169 | + | 2.06891i | ||||
\(31\) | 4.75563 | − | 1.27427i | 0.854135 | − | 0.228865i | 0.194920 | − | 0.980819i | \(-0.437555\pi\) |
0.659215 | + | 0.751954i | \(0.270889\pi\) | |||||||
\(32\) | 5.03114 | − | 5.03114i | 0.889389 | − | 0.889389i | ||||
\(33\) | 4.04931 | + | 8.88175i | 0.704895 | + | 1.54611i | ||||
\(34\) | 0.803836 | − | 0.803836i | 0.137857 | − | 0.137857i | ||||
\(35\) | −5.78900 | + | 7.94200i | −0.978520 | + | 1.34244i | ||||
\(36\) | −4.52174 | − | 0.877480i | −0.753624 | − | 0.146247i | ||||
\(37\) | −5.11425 | + | 5.11425i | −0.840777 | + | 0.840777i | −0.988960 | − | 0.148183i | \(-0.952658\pi\) |
0.148183 | + | 0.988960i | \(0.452658\pi\) | |||||||
\(38\) | −2.54469 | + | 4.40753i | −0.412803 | + | 0.714996i | ||||
\(39\) | 3.45697 | − | 5.20090i | 0.553558 | − | 0.832811i | ||||
\(40\) | −1.62260 | − | 2.81042i | −0.256555 | − | 0.444367i | ||||
\(41\) | 1.68812 | + | 6.30015i | 0.263640 | + | 0.983919i | 0.963077 | + | 0.269225i | \(0.0867674\pi\) |
−0.699437 | + | 0.714694i | \(0.746566\pi\) | |||||||
\(42\) | −7.70577 | − | 3.85536i | −1.18903 | − | 0.594895i | ||||
\(43\) | −4.42991 | + | 2.55761i | −0.675554 | + | 0.390031i | −0.798178 | − | 0.602422i | \(-0.794203\pi\) |
0.122624 | + | 0.992453i | \(0.460869\pi\) | |||||||
\(44\) | 8.35798 | + | 2.23951i | 1.26001 | + | 0.337619i | ||||
\(45\) | −4.88201 | + | 10.0175i | −0.727768 | + | 1.49332i | ||||
\(46\) | 3.63366 | − | 3.63366i | 0.535755 | − | 0.535755i | ||||
\(47\) | −0.552327 | + | 2.06131i | −0.0805651 | + | 0.300673i | −0.994437 | − | 0.105329i | \(-0.966411\pi\) |
0.913872 | + | 0.406002i | \(0.133077\pi\) | |||||||
\(48\) | 6.29860 | − | 5.19381i | 0.909124 | − | 0.749661i | ||||
\(49\) | −5.18749 | − | 4.69999i | −0.741071 | − | 0.671427i | ||||
\(50\) | 15.9793 | − | 4.28165i | 2.25982 | − | 0.605517i | ||||
\(51\) | 0.807935 | − | 0.666221i | 0.113134 | − | 0.0932896i | ||||
\(52\) | −1.60740 | − | 5.29734i | −0.222906 | − | 0.734609i | ||||
\(53\) | −1.33418 | − | 0.770286i | −0.183263 | − | 0.105807i | 0.405562 | − | 0.914068i | \(-0.367076\pi\) |
−0.588825 | + | 0.808261i | \(0.700409\pi\) | |||||||
\(54\) | −9.36906 | − | 2.77049i | −1.27497 | − | 0.377016i | ||||
\(55\) | 10.4671 | − | 18.1296i | 1.41139 | − | 2.44460i | ||||
\(56\) | 2.11303 | − | 0.936867i | 0.282366 | − | 0.125194i | ||||
\(57\) | −2.72187 | + | 3.81718i | −0.360521 | + | 0.505597i | ||||
\(58\) | −0.0984891 | + | 0.0263901i | −0.0129323 | + | 0.00346519i | ||||
\(59\) | −7.35313 | − | 7.35313i | −0.957296 | − | 0.957296i | 0.0418286 | − | 0.999125i | \(-0.486682\pi\) |
−0.999125 | + | 0.0418286i | \(0.986682\pi\) | |||||||
\(60\) | 4.09789 | + | 8.98829i | 0.529035 | + | 1.16038i | ||||
\(61\) | −0.545561 | + | 0.944939i | −0.0698519 | + | 0.120987i | −0.898836 | − | 0.438285i | \(-0.855586\pi\) |
0.828984 | + | 0.559272i | \(0.188919\pi\) | |||||||
\(62\) | 4.62861 | − | 8.01700i | 0.587835 | − | 1.01816i | ||||
\(63\) | −6.72597 | − | 4.21442i | −0.847392 | − | 0.530968i | ||||
\(64\) | − | 3.95146i | − | 0.493933i | ||||||
\(65\) | −13.3860 | + | 0.439300i | −1.66033 | + | 0.0544885i | ||||
\(66\) | 17.1924 | + | 6.42493i | 2.11624 | + | 0.790854i | ||||
\(67\) | −1.27500 | + | 4.75837i | −0.155766 | + | 0.581327i | 0.843272 | + | 0.537487i | \(0.180626\pi\) |
−0.999039 | + | 0.0438409i | \(0.986041\pi\) | |||||||
\(68\) | − | 0.928276i | − | 0.112570i | ||||||
\(69\) | 3.65219 | − | 3.01159i | 0.439672 | − | 0.362553i | ||||
\(70\) | 2.86251 | + | 18.2560i | 0.342135 | + | 2.18200i | ||||
\(71\) | 2.21785 | + | 0.594271i | 0.263210 | + | 0.0705270i | 0.388011 | − | 0.921655i | \(-0.373162\pi\) |
−0.124800 | + | 0.992182i | \(0.539829\pi\) | |||||||
\(72\) | 2.17236 | − | 1.46626i | 0.256016 | − | 0.172800i | ||||
\(73\) | 1.02989 | + | 3.84360i | 0.120540 | + | 0.449860i | 0.999642 | − | 0.0267740i | \(-0.00852344\pi\) |
−0.879102 | + | 0.476634i | \(0.841857\pi\) | |||||||
\(74\) | 13.5992i | 1.58088i | ||||||||
\(75\) | 15.0297 | − | 2.51751i | 1.73548 | − | 0.290697i | ||||
\(76\) | 1.07561 | + | 4.01424i | 0.123381 | + | 0.460465i | ||||
\(77\) | 12.0493 | + | 8.78288i | 1.37315 | + | 1.00090i | ||||
\(78\) | −2.31863 | − | 11.5110i | −0.262533 | − | 1.30336i | ||||
\(79\) | 1.56958 | + | 2.71858i | 0.176591 | + | 0.305865i | 0.940711 | − | 0.339210i | \(-0.110160\pi\) |
−0.764120 | + | 0.645074i | \(0.776826\pi\) | |||||||
\(80\) | −16.9118 | − | 4.53149i | −1.89079 | − | 0.506636i | ||||
\(81\) | −8.34675 | − | 3.36627i | −0.927416 | − | 0.374030i | ||||
\(82\) | 10.6208 | + | 6.13189i | 1.17287 | + | 0.677154i | ||||
\(83\) | −5.54824 | + | 5.54824i | −0.608999 | + | 0.608999i | −0.942684 | − | 0.333686i | \(-0.891708\pi\) |
0.333686 | + | 0.942684i | \(0.391708\pi\) | |||||||
\(84\) | −6.67544 | + | 2.22324i | −0.728350 | + | 0.242576i | ||||
\(85\) | −2.16931 | − | 0.581265i | −0.235295 | − | 0.0630470i | ||||
\(86\) | −2.48930 | + | 9.29020i | −0.268428 | + | 1.00179i | ||||
\(87\) | −0.0926359 | + | 0.0155167i | −0.00993161 | + | 0.00166357i | ||||
\(88\) | −4.26388 | + | 2.46175i | −0.454531 | + | 0.262423i | ||||
\(89\) | −9.63745 | − | 9.63745i | −1.02157 | − | 1.02157i | −0.999762 | − | 0.0218053i | \(-0.993059\pi\) |
−0.0218053 | − | 0.999762i | \(-0.506941\pi\) | |||||||
\(90\) | 6.82786 | + | 19.8095i | 0.719719 | + | 2.08811i | ||||
\(91\) | 0.700142 | − | 9.51366i | 0.0733949 | − | 0.997303i | ||||
\(92\) | − | 4.19618i | − | 0.437482i | ||||||
\(93\) | 4.95090 | − | 6.94318i | 0.513384 | − | 0.719975i | ||||
\(94\) | 2.00626 | + | 3.47494i | 0.206930 | + | 0.358413i | ||||
\(95\) | 10.0545 | 1.03157 | ||||||||
\(96\) | 1.17927 | − | 12.2672i | 0.120359 | − | 1.25201i | ||||
\(97\) | −2.29951 | + | 8.58188i | −0.233480 | + | 0.871358i | 0.745348 | + | 0.666675i | \(0.232283\pi\) |
−0.978828 | + | 0.204683i | \(0.934384\pi\) | |||||||
\(98\) | −13.1458 | + | 0.648158i | −1.32793 | + | 0.0654738i | ||||
\(99\) | 15.1982 | + | 7.40683i | 1.52748 | + | 0.744414i | ||||
\(100\) | 6.75429 | − | 11.6988i | 0.675429 | − | 1.16988i | ||||
\(101\) | −2.27392 | − | 3.93854i | −0.226263 | − | 0.391899i | 0.730435 | − | 0.682983i | \(-0.239318\pi\) |
−0.956698 | + | 0.291084i | \(0.905984\pi\) | |||||||
\(102\) | 0.188415 | − | 1.95995i | 0.0186558 | − | 0.194064i | ||||
\(103\) | −5.96503 | + | 3.44391i | −0.587752 | + | 0.339339i | −0.764208 | − | 0.644970i | \(-0.776870\pi\) |
0.176456 | + | 0.984309i | \(0.443537\pi\) | |||||||
\(104\) | 2.77810 | + | 1.48464i | 0.272416 | + | 0.145581i | ||||
\(105\) | 1.01554 | + | 16.9921i | 0.0991070 | + | 1.65826i | ||||
\(106\) | −2.79797 | + | 0.749714i | −0.271763 | + | 0.0728187i | ||||
\(107\) | − | 7.51825i | − | 0.726817i | −0.931630 | − | 0.363408i | \(-0.881613\pi\) | ||
0.931630 | − | 0.363408i | \(-0.118387\pi\) | |||||||
\(108\) | −7.00942 | + | 3.81004i | −0.674482 | + | 0.366621i | ||||
\(109\) | 7.79340 | − | 2.08824i | 0.746473 | − | 0.200017i | 0.134520 | − | 0.990911i | \(-0.457051\pi\) |
0.611953 | + | 0.790894i | \(0.290384\pi\) | |||||||
\(110\) | −10.1876 | − | 38.0206i | −0.971349 | − | 3.62512i | ||||
\(111\) | −1.19875 | + | 12.4698i | −0.113780 | + | 1.18358i | ||||
\(112\) | 4.48701 | − | 11.6352i | 0.423983 | − | 1.09943i | ||||
\(113\) | 15.8638 | − | 9.15899i | 1.49234 | − | 0.861605i | 0.492383 | − | 0.870379i | \(-0.336126\pi\) |
0.999962 | + | 0.00877367i | \(0.00279278\pi\) | |||||||
\(114\) | 1.45626 | + | 8.69394i | 0.136391 | + | 0.814262i | ||||
\(115\) | −9.80616 | − | 2.62755i | −0.914429 | − | 0.245020i | ||||
\(116\) | −0.0416303 | + | 0.0721058i | −0.00386527 | + | 0.00669485i | ||||
\(117\) | −1.11139 | − | 10.7594i | −0.102748 | − | 0.994707i | ||||
\(118\) | −19.5526 | −1.79996 | ||||||||
\(119\) | 0.575559 | − | 1.49248i | 0.0527614 | − | 0.136815i | ||||
\(120\) | −5.26519 | − | 1.96764i | −0.480644 | − | 0.179620i | ||||
\(121\) | −17.9794 | − | 10.3804i | −1.63449 | − | 0.943672i | ||||
\(122\) | 0.530990 | + | 1.98168i | 0.0480736 | + | 0.179413i | ||||
\(123\) | 9.19819 | + | 6.55885i | 0.829373 | + | 0.591391i | ||||
\(124\) | −1.95646 | − | 7.30162i | −0.175696 | − | 0.655705i | ||||
\(125\) | −9.97664 | − | 9.97664i | −0.892338 | − | 0.892338i | ||||
\(126\) | −14.5457 | + | 3.33920i | −1.29584 | + | 0.297480i | ||||
\(127\) | 3.36991 | + | 1.94562i | 0.299031 | + | 0.172646i | 0.642008 | − | 0.766698i | \(-0.278102\pi\) |
−0.342976 | + | 0.939344i | \(0.611435\pi\) | |||||||
\(128\) | 4.80864 | + | 4.80864i | 0.425028 | + | 0.425028i | ||||
\(129\) | −3.10148 | + | 8.29922i | −0.273070 | + | 0.730706i | ||||
\(130\) | −17.2132 | + | 18.3813i | −1.50969 | + | 1.61215i | ||||
\(131\) | 1.02275 | − | 0.590485i | 0.0893580 | − | 0.0515909i | −0.454655 | − | 0.890668i | \(-0.650237\pi\) |
0.544013 | + | 0.839077i | \(0.316904\pi\) | |||||||
\(132\) | 13.6367 | − | 6.21718i | 1.18693 | − | 0.541136i | ||||
\(133\) | −0.759587 | + | 7.12098i | −0.0658645 | + | 0.617467i | ||||
\(134\) | 4.63129 | + | 8.02162i | 0.400082 | + | 0.692963i | ||||
\(135\) | 4.51463 | + | 18.7662i | 0.388557 | + | 1.61514i | ||||
\(136\) | 0.373490 | + | 0.373490i | 0.0320265 | + | 0.0320265i | ||||
\(137\) | −3.64709 | − | 3.64709i | −0.311592 | − | 0.311592i | 0.533934 | − | 0.845526i | \(-0.320713\pi\) |
−0.845526 | + | 0.533934i | \(0.820713\pi\) | |||||||
\(138\) | 0.851711 | − | 8.85978i | 0.0725024 | − | 0.754194i | ||||
\(139\) | −4.97965 | − | 8.62500i | −0.422368 | − | 0.731563i | 0.573803 | − | 0.818994i | \(-0.305468\pi\) |
−0.996171 | + | 0.0874308i | \(0.972134\pi\) | |||||||
\(140\) | 12.1939 | + | 8.88823i | 1.03057 | + | 0.751193i | ||||
\(141\) | 1.53333 | + | 3.36320i | 0.129130 | + | 0.283232i | ||||
\(142\) | 3.73883 | − | 2.15862i | 0.313756 | − | 0.181147i | ||||
\(143\) | 0.666491 | + | 20.3088i | 0.0557348 | + | 1.69830i | ||||
\(144\) | 2.69376 | − | 13.8812i | 0.224480 | − | 1.15677i | ||||
\(145\) | 0.142438 | + | 0.142438i | 0.0118288 | + | 0.0118288i | ||||
\(146\) | 6.47952 | + | 3.74095i | 0.536249 | + | 0.309603i | ||||
\(147\) | −12.1112 | − | 0.564457i | −0.998916 | − | 0.0465556i | ||||
\(148\) | 7.85224 | + | 7.85224i | 0.645450 | + | 0.645450i | ||||
\(149\) | −4.61056 | − | 17.2068i | −0.377712 | − | 1.40964i | −0.849342 | − | 0.527842i | \(-0.823001\pi\) |
0.471631 | − | 0.881796i | \(-0.343666\pi\) | |||||||
\(150\) | 16.6355 | − | 23.3297i | 1.35828 | − | 1.90486i | ||||
\(151\) | −2.52741 | − | 9.43241i | −0.205677 | − | 0.767598i | −0.989242 | − | 0.146288i | \(-0.953267\pi\) |
0.783565 | − | 0.621310i | \(-0.213399\pi\) | |||||||
\(152\) | −2.04789 | − | 1.18235i | −0.166106 | − | 0.0959012i | ||||
\(153\) | 0.345534 | − | 1.78057i | 0.0279348 | − | 0.143951i | ||||
\(154\) | 27.6973 | − | 4.34290i | 2.23191 | − | 0.349961i | ||||
\(155\) | −18.2884 | −1.46896 | ||||||||
\(156\) | −7.98529 | − | 5.30771i | −0.639335 | − | 0.424957i | ||||
\(157\) | 9.09434 | − | 15.7519i | 0.725807 | − | 1.25714i | −0.232834 | − | 0.972517i | \(-0.574800\pi\) |
0.958641 | − | 0.284618i | \(-0.0918669\pi\) | |||||||
\(158\) | 5.70129 | + | 1.52766i | 0.453570 | + | 0.121534i | ||||
\(159\) | −2.63169 | + | 0.440814i | −0.208706 | + | 0.0349588i | ||||
\(160\) | −22.8889 | + | 13.2149i | −1.80953 | + | 1.04473i | ||||
\(161\) | 2.60176 | − | 6.74660i | 0.205047 | − | 0.531706i | ||||
\(162\) | −15.5730 | + | 6.62175i | −1.22353 | + | 0.520254i | ||||
\(163\) | 4.29115 | + | 16.0148i | 0.336109 | + | 1.25438i | 0.902662 | + | 0.430350i | \(0.141610\pi\) |
−0.566553 | + | 0.824025i | \(0.691723\pi\) | |||||||
\(164\) | 9.67304 | − | 2.59188i | 0.755338 | − | 0.202392i | ||||
\(165\) | −5.99006 | − | 35.7610i | −0.466325 | − | 2.78399i | ||||
\(166\) | 14.7532i | 1.14507i | ||||||||
\(167\) | −8.07090 | + | 2.16259i | −0.624545 | + | 0.167346i | −0.557193 | − | 0.830383i | \(-0.688122\pi\) |
−0.0673521 | + | 0.997729i | \(0.521455\pi\) | |||||||
\(168\) | 1.79133 | − | 3.58036i | 0.138204 | − | 0.276231i | ||||
\(169\) | 10.8079 | − | 7.22417i | 0.831379 | − | 0.555705i | ||||
\(170\) | −3.65700 | + | 2.11137i | −0.280479 | + | 0.161935i | ||||
\(171\) | 0.568956 | + | 8.10028i | 0.0435091 | + | 0.619444i | ||||
\(172\) | 3.92686 | + | 6.80153i | 0.299421 | + | 0.518612i | ||||
\(173\) | −11.8399 | + | 20.5072i | −0.900168 | + | 1.55914i | −0.0728927 | + | 0.997340i | \(0.523223\pi\) |
−0.827275 | + | 0.561797i | \(0.810110\pi\) | |||||||
\(174\) | −0.102533 | + | 0.143794i | −0.00777302 | + | 0.0109010i | ||||
\(175\) | 18.1131 | − | 14.6213i | 1.36922 | − | 1.10527i | ||||
\(176\) | −6.87503 | + | 25.6580i | −0.518225 | + | 1.93404i | ||||
\(177\) | −17.9288 | − | 1.72353i | −1.34761 | − | 0.129549i | ||||
\(178\) | −25.6268 | −1.92081 | ||||||||
\(179\) | −0.657398 | − | 1.13865i | −0.0491362 | − | 0.0851064i | 0.840411 | − | 0.541949i | \(-0.182314\pi\) |
−0.889547 | + | 0.456843i | \(0.848980\pi\) | |||||||
\(180\) | 15.3805 | + | 7.49568i | 1.14640 | + | 0.558695i | ||||
\(181\) | − | 1.12412i | − | 0.0835548i | −0.999127 | − | 0.0417774i | \(-0.986698\pi\) | ||
0.999127 | − | 0.0417774i | \(-0.0133020\pi\) | |||||||
\(182\) | −11.7180 | − | 13.5797i | −0.868592 | − | 1.00659i | ||||
\(183\) | 0.312209 | + | 1.86391i | 0.0230792 | + | 0.137784i | ||||
\(184\) | 1.68832 | + | 1.68832i | 0.124465 | + | 0.124465i | ||||
\(185\) | 23.2670 | − | 13.4332i | 1.71062 | − | 0.987628i | ||||
\(186\) | −2.64883 | − | 15.8137i | −0.194222 | − | 1.15952i | ||||
\(187\) | −0.881875 | + | 3.29120i | −0.0644891 | + | 0.240677i | ||||
\(188\) | 3.16487 | + | 0.848023i | 0.230822 | + | 0.0618485i | ||||
\(189\) | −13.6320 | + | 1.77970i | −0.991585 | + | 0.129454i | ||||
\(190\) | 13.3679 | − | 13.3679i | 0.969807 | − | 0.969807i | ||||
\(191\) | 15.6573 | + | 9.03976i | 1.13292 | + | 0.654094i | 0.944669 | − | 0.328026i | \(-0.106383\pi\) |
0.188256 | + | 0.982120i | \(0.439717\pi\) | |||||||
\(192\) | −4.35423 | − | 5.28043i | −0.314239 | − | 0.381082i | ||||
\(193\) | −21.4206 | − | 5.73962i | −1.54189 | − | 0.413147i | −0.615011 | − | 0.788518i | \(-0.710849\pi\) |
−0.926875 | + | 0.375371i | \(0.877515\pi\) | |||||||
\(194\) | 8.35268 | + | 14.4673i | 0.599688 | + | 1.03869i | ||||
\(195\) | −17.4039 | + | 15.3374i | −1.24632 | + | 1.09834i | ||||
\(196\) | −7.21620 | + | 7.96470i | −0.515443 | + | 0.568907i | ||||
\(197\) | 0.0595601 | + | 0.222281i | 0.00424348 | + | 0.0158369i | 0.968015 | − | 0.250892i | \(-0.0807239\pi\) |
−0.963772 | + | 0.266729i | \(0.914057\pi\) | |||||||
\(198\) | 30.0544 | − | 10.3590i | 2.13587 | − | 0.736182i | ||||
\(199\) | 20.2649i | 1.43654i | 0.695763 | + | 0.718271i | \(0.255066\pi\) | ||||
−0.695763 | + | 0.718271i | \(0.744934\pi\) | |||||||
\(200\) | 1.98940 | + | 7.42454i | 0.140672 | + | 0.524995i | ||||
\(201\) | 3.53957 | + | 7.76367i | 0.249662 | + | 0.547607i | ||||
\(202\) | −8.25972 | − | 2.21319i | −0.581152 | − | 0.155719i | ||||
\(203\) | −0.111641 | + | 0.0901191i | −0.00783564 | + | 0.00632512i | ||||
\(204\) | −1.02289 | − | 1.24048i | −0.0716168 | − | 0.0868507i | ||||
\(205\) | − | 24.2281i | − | 1.69217i | ||||||
\(206\) | −3.35194 | + | 12.5096i | −0.233540 | + | 0.871585i | ||||
\(207\) | 1.56195 | − | 8.04890i | 0.108563 | − | 0.559437i | ||||
\(208\) | 16.2622 | − | 4.93452i | 1.12758 | − | 0.342147i | ||||
\(209\) | − | 15.2543i | − | 1.05516i | ||||||
\(210\) | 23.9420 | + | 21.2415i | 1.65215 | + | 1.46581i | ||||
\(211\) | −8.83977 | + | 15.3109i | −0.608555 | + | 1.05405i | 0.382924 | + | 0.923780i | \(0.374917\pi\) |
−0.991479 | + | 0.130268i | \(0.958416\pi\) | |||||||
\(212\) | −1.18267 | + | 2.04845i | −0.0812262 | + | 0.140688i | ||||
\(213\) | 3.61860 | − | 1.64977i | 0.247943 | − | 0.113040i | ||||
\(214\) | −9.99583 | − | 9.99583i | −0.683301 | − | 0.683301i | ||||
\(215\) | 18.3536 | − | 4.91782i | 1.25170 | − | 0.335392i | ||||
\(216\) | 1.28727 | − | 4.35318i | 0.0875873 | − | 0.296197i | ||||
\(217\) | 1.38164 | − | 12.9526i | 0.0937916 | − | 0.879278i | ||||
\(218\) | 7.58526 | − | 13.1381i | 0.513739 | − | 0.889822i | ||||
\(219\) | 5.61164 | + | 4.00143i | 0.379199 | + | 0.270391i | ||||
\(220\) | −27.8356 | − | 16.0709i | −1.87668 | − | 1.08350i | ||||
\(221\) | 2.08598 | − | 0.632962i | 0.140319 | − | 0.0425776i | ||||
\(222\) | 14.9854 | + | 18.1729i | 1.00575 | + | 1.21969i | ||||
\(223\) | 6.32579 | − | 1.69499i | 0.423606 | − | 0.113505i | −0.0407172 | − | 0.999171i | \(-0.512964\pi\) |
0.464323 | + | 0.885666i | \(0.346298\pi\) | |||||||
\(224\) | −7.63012 | − | 17.2091i | −0.509809 | − | 1.14983i | ||||
\(225\) | 17.3104 | − | 19.9258i | 1.15403 | − | 1.32839i | ||||
\(226\) | 8.91438 | − | 33.2689i | 0.592975 | − | 2.21301i | ||||
\(227\) | 10.5772 | − | 10.5772i | 0.702034 | − | 0.702034i | −0.262813 | − | 0.964847i | \(-0.584650\pi\) |
0.964847 | + | 0.262813i | \(0.0846501\pi\) | |||||||
\(228\) | 5.86076 | + | 4.17907i | 0.388139 | + | 0.276766i | ||||
\(229\) | 2.67246 | + | 0.716084i | 0.176601 | + | 0.0473202i | 0.346036 | − | 0.938221i | \(-0.387528\pi\) |
−0.169435 | + | 0.985541i | \(0.554194\pi\) | |||||||
\(230\) | −16.5311 | + | 9.54426i | −1.09003 | + | 0.629330i | ||||
\(231\) | 25.7799 | − | 1.54075i | 1.69619 | − | 0.101374i | ||||
\(232\) | −0.0122617 | − | 0.0457614i | −0.000805022 | − | 0.00300438i | ||||
\(233\) | 0.617770 | + | 1.07001i | 0.0404715 | + | 0.0700987i | 0.885552 | − | 0.464541i | \(-0.153781\pi\) |
−0.845080 | + | 0.534640i | \(0.820447\pi\) | |||||||
\(234\) | −15.7827 | − | 12.8274i | −1.03175 | − | 0.838556i | ||||
\(235\) | 3.96353 | − | 6.86504i | 0.258552 | − | 0.447826i | ||||
\(236\) | −11.2897 | + | 11.2897i | −0.734900 | + | 0.734900i | ||||
\(237\) | 5.09314 | + | 1.90335i | 0.330835 | + | 0.123636i | ||||
\(238\) | −1.21908 | − | 2.74954i | −0.0790212 | − | 0.178226i | ||||
\(239\) | 16.3133 | − | 16.3133i | 1.05522 | − | 1.05522i | 0.0568334 | − | 0.998384i | \(-0.481900\pi\) |
0.998384 | − | 0.0568334i | \(-0.0181004\pi\) | |||||||
\(240\) | −27.5929 | + | 12.5800i | −1.78112 | + | 0.812036i | ||||
\(241\) | −10.5679 | + | 10.5679i | −0.680741 | + | 0.680741i | −0.960167 | − | 0.279426i | \(-0.909856\pi\) |
0.279426 | + | 0.960167i | \(0.409856\pi\) | |||||||
\(242\) | −37.7055 | + | 10.1032i | −2.42380 | + | 0.649456i | ||||
\(243\) | −14.8633 | + | 4.69908i | −0.953483 | + | 0.301446i | ||||
\(244\) | 1.45083 | + | 0.837636i | 0.0928797 | + | 0.0536241i | ||||
\(245\) | 14.0943 | + | 21.8510i | 0.900450 | + | 1.39601i | ||||
\(246\) | 20.9496 | − | 3.50911i | 1.33570 | − | 0.223733i | ||||
\(247\) | −8.28721 | + | 5.15425i | −0.527303 | + | 0.327957i | ||||
\(248\) | 3.72497 | + | 2.15061i | 0.236536 | + | 0.136564i | ||||
\(249\) | −1.30048 | + | 13.5280i | −0.0824144 | + | 0.857302i | ||||
\(250\) | −26.5287 | −1.67782 | ||||||||
\(251\) | 7.72730 | + | 13.3841i | 0.487743 | + | 0.844796i | 0.999901 | − | 0.0140958i | \(-0.00448698\pi\) |
−0.512158 | + | 0.858891i | \(0.671154\pi\) | |||||||
\(252\) | −6.47068 | + | 10.3268i | −0.407615 | + | 0.650528i | ||||
\(253\) | −3.98643 | + | 14.8776i | −0.250625 | + | 0.935345i | ||||
\(254\) | 7.06723 | − | 1.89366i | 0.443437 | − | 0.118819i | ||||
\(255\) | −3.53941 | + | 1.61366i | −0.221646 | + | 0.101052i | ||||
\(256\) | 20.6895 | 1.29309 | ||||||||
\(257\) | 8.53830 | 0.532605 | 0.266302 | − | 0.963890i | \(-0.414198\pi\) | ||||
0.266302 | + | 0.963890i | \(0.414198\pi\) | |||||||
\(258\) | 6.91061 | + | 15.1577i | 0.430236 | + | 0.943678i | ||||
\(259\) | 7.75616 | + | 17.4934i | 0.481944 | + | 1.08699i | ||||
\(260\) | 0.674487 | + | 20.5524i | 0.0418299 | + | 1.27460i | ||||
\(261\) | −0.106693 | + | 0.122813i | −0.00660414 | + | 0.00760196i | ||||
\(262\) | 0.574714 | − | 2.14486i | 0.0355060 | − | 0.132510i | ||||
\(263\) | −10.9073 | + | 6.29735i | −0.672574 | + | 0.388311i | −0.797051 | − | 0.603911i | \(-0.793608\pi\) |
0.124477 | + | 0.992222i | \(0.460275\pi\) | |||||||
\(264\) | −2.98524 | + | 7.98817i | −0.183729 | + | 0.491638i | ||||
\(265\) | 4.04650 | + | 4.04650i | 0.248575 | + | 0.248575i | ||||
\(266\) | 8.45774 | + | 10.4775i | 0.518577 | + | 0.642420i | ||||
\(267\) | −23.4985 | − | 2.25896i | −1.43808 | − | 0.138246i | ||||
\(268\) | 7.30584 | + | 1.95759i | 0.446275 | + | 0.119579i | ||||
\(269\) | 16.6314i | 1.01403i | 0.861937 | + | 0.507016i | \(0.169251\pi\) | ||||
−0.861937 | + | 0.507016i | \(0.830749\pi\) | |||||||
\(270\) | 30.9529 | + | 18.9481i | 1.88373 | + | 1.15315i | ||||
\(271\) | 16.5451 | − | 16.5451i | 1.00504 | − | 1.00504i | 0.00505565 | − | 0.999987i | \(-0.498391\pi\) |
0.999987 | − | 0.00505565i | \(-0.00160927\pi\) | |||||||
\(272\) | 2.84969 | 0.172788 | ||||||||
\(273\) | −9.54775 | − | 13.4848i | −0.577856 | − | 0.816139i | ||||
\(274\) | −9.69791 | −0.585872 | ||||||||
\(275\) | −35.0613 | + | 35.0613i | −2.11428 | + | 2.11428i | ||||
\(276\) | −4.62389 | − | 5.60745i | −0.278325 | − | 0.337529i | ||||
\(277\) | − | 18.8670i | − | 1.13361i | −0.823853 | − | 0.566804i | \(-0.808180\pi\) | ||
0.823853 | − | 0.566804i | \(-0.191820\pi\) | |||||||
\(278\) | −18.0880 | − | 4.84665i | −1.08484 | − | 0.290683i | ||||
\(279\) | −1.03489 | − | 14.7339i | −0.0619573 | − | 0.882093i | ||||
\(280\) | −8.48234 | + | 1.33002i | −0.506917 | + | 0.0794839i | ||||
\(281\) | 6.51031 | + | 6.51031i | 0.388372 | + | 0.388372i | 0.874107 | − | 0.485734i | \(-0.161448\pi\) |
−0.485734 | + | 0.874107i | \(0.661448\pi\) | |||||||
\(282\) | 6.51014 | + | 2.43289i | 0.387673 | + | 0.144876i | ||||
\(283\) | 7.70029 | − | 4.44577i | 0.457735 | − | 0.264273i | −0.253356 | − | 0.967373i | \(-0.581535\pi\) |
0.711091 | + | 0.703100i | \(0.248201\pi\) | |||||||
\(284\) | 0.912423 | − | 3.40521i | 0.0541423 | − | 0.202062i | ||||
\(285\) | 13.4360 | − | 11.0793i | 0.795882 | − | 0.656282i | ||||
\(286\) | 27.8875 | + | 26.1152i | 1.64902 | + | 1.54423i | ||||
\(287\) | 17.1593 | + | 1.83036i | 1.01288 | + | 0.108043i | ||||
\(288\) | −11.9417 | − | 17.6924i | −0.703669 | − | 1.04253i | ||||
\(289\) | −16.6345 | −0.978498 | ||||||||
\(290\) | 0.378754 | 0.0222412 | ||||||||
\(291\) | 6.38373 | + | 14.0021i | 0.374221 | + | 0.820815i | ||||
\(292\) | 5.90134 | − | 1.58126i | 0.345350 | − | 0.0925362i | ||||
\(293\) | 2.28161 | − | 8.51510i | 0.133293 | − | 0.497458i | −0.866706 | − | 0.498820i | \(-0.833767\pi\) |
0.999999 | + | 0.00136224i | \(0.000433616\pi\) | |||||||
\(294\) | −16.8528 | + | 15.3519i | −0.982877 | + | 0.895341i | ||||
\(295\) | 19.3139 | + | 33.4526i | 1.12450 | + | 1.94769i | ||||
\(296\) | −6.31866 | −0.367265 | ||||||||
\(297\) | 28.4715 | − | 6.84944i | 1.65208 | − | 0.397445i | ||||
\(298\) | −29.0071 | − | 16.7473i | −1.68034 | − | 0.970144i | ||||
\(299\) | 9.42950 | − | 2.86124i | 0.545322 | − | 0.165470i | ||||
\(300\) | −3.86529 | − | 23.0761i | −0.223163 | − | 1.33230i | ||||
\(301\) | 2.09643 | + | 13.3702i | 0.120836 | + | 0.770647i | ||||
\(302\) | −15.9011 | − | 9.18049i | −0.915004 | − | 0.528278i | ||||
\(303\) | −7.37867 | − | 2.75746i | −0.423893 | − | 0.158412i | ||||
\(304\) | −12.3232 | + | 3.30200i | −0.706785 | + | 0.189382i | ||||
\(305\) | 2.86596 | − | 2.86596i | 0.164105 | − | 0.164105i | ||||
\(306\) | −1.90794 | − | 2.82675i | −0.109070 | − | 0.161594i | ||||
\(307\) | −12.3916 | + | 12.3916i | −0.707226 | + | 0.707226i | −0.965951 | − | 0.258725i | \(-0.916698\pi\) |
0.258725 | + | 0.965951i | \(0.416698\pi\) | |||||||
\(308\) | 13.4849 | − | 18.5001i | 0.768375 | − | 1.05414i | ||||
\(309\) | −4.17626 | + | 11.1752i | −0.237579 | + | 0.635735i | ||||
\(310\) | −24.3152 | + | 24.3152i | −1.38101 | + | 1.38101i | ||||
\(311\) | 12.6937 | − | 21.9862i | 0.719796 | − | 1.24672i | −0.241285 | − | 0.970454i | \(-0.577569\pi\) |
0.961081 | − | 0.276268i | \(-0.0890978\pi\) | |||||||
\(312\) | 5.34841 | − | 1.07732i | 0.302794 | − | 0.0609910i | ||||
\(313\) | 9.40956 | + | 16.2978i | 0.531860 | + | 0.921208i | 0.999308 | + | 0.0371877i | \(0.0118399\pi\) |
−0.467449 | + | 0.884020i | \(0.654827\pi\) | |||||||
\(314\) | −8.85145 | − | 33.0341i | −0.499516 | − | 1.86422i | ||||
\(315\) | 20.0812 | + | 21.5879i | 1.13145 | + | 1.21634i | ||||
\(316\) | 4.17402 | − | 2.40987i | 0.234807 | − | 0.135566i | ||||
\(317\) | −12.0323 | − | 3.22403i | −0.675799 | − | 0.181080i | −0.0954331 | − | 0.995436i | \(-0.530424\pi\) |
−0.580365 | + | 0.814356i | \(0.697090\pi\) | |||||||
\(318\) | −2.91286 | + | 4.08502i | −0.163345 | + | 0.229077i | ||||
\(319\) | 0.216102 | − | 0.216102i | 0.0120994 | − | 0.0120994i | ||||
\(320\) | −3.79898 | + | 14.1780i | −0.212369 | + | 0.792573i | ||||
\(321\) | −8.28457 | − | 10.0468i | −0.462399 | − | 0.560758i | ||||
\(322\) | −5.51074 | − | 12.4290i | −0.307101 | − | 0.692643i | ||||
\(323\) | −1.58073 | + | 0.423554i | −0.0879539 | + | 0.0235672i | ||||
\(324\) | −5.16846 | + | 12.8153i | −0.287137 | + | 0.711962i | ||||
\(325\) | 30.8945 | + | 7.20095i | 1.71372 | + | 0.399437i | ||||
\(326\) | 26.9976 | + | 15.5871i | 1.49526 | + | 0.863289i | ||||
\(327\) | 8.11341 | − | 11.3783i | 0.448673 | − | 0.629223i | ||||
\(328\) | −2.84909 | + | 4.93476i | −0.157315 | + | 0.272477i | ||||
\(329\) | 4.56265 | + | 3.32576i | 0.251547 | + | 0.183355i | ||||
\(330\) | −55.5099 | − | 39.5818i | −3.05572 | − | 2.17891i | ||||
\(331\) | 30.0891 | − | 8.06234i | 1.65384 | − | 0.443146i | 0.693159 | − | 0.720785i | \(-0.256218\pi\) |
0.960686 | + | 0.277638i | \(0.0895516\pi\) | |||||||
\(332\) | 8.51858 | + | 8.51858i | 0.467518 | + | 0.467518i | ||||
\(333\) | 12.1389 | + | 17.9846i | 0.665208 | + | 0.985551i | ||||
\(334\) | −7.85535 | + | 13.6059i | −0.429826 | + | 0.744480i | ||||
\(335\) | 9.14949 | − | 15.8474i | 0.499890 | − | 0.865835i | ||||
\(336\) | −6.82508 | − | 20.4928i | −0.372339 | − | 1.11797i | ||||
\(337\) | − | 26.6167i | − | 1.44991i | −0.688799 | − | 0.724953i | \(-0.741862\pi\) | ||
0.688799 | − | 0.724953i | \(-0.258138\pi\) | |||||||
\(338\) | 4.76476 | − | 23.9744i | 0.259169 | − | 1.30404i | ||||
\(339\) | 11.1066 | − | 29.7202i | 0.603230 | − | 1.61418i | ||||
\(340\) | −0.892454 | + | 3.33068i | −0.0484001 | + | 0.180632i | ||||
\(341\) | 27.7466i | 1.50256i | ||||||||
\(342\) | 11.5261 | + | 10.0132i | 0.623261 | + | 0.541453i | ||||
\(343\) | −16.5405 | + | 8.33133i | −0.893104 | + | 0.449850i | ||||
\(344\) | −4.31654 | − | 1.15661i | −0.232732 | − | 0.0623604i | ||||
\(345\) | −15.9996 | + | 7.29442i | −0.861387 | + | 0.392718i | ||||
\(346\) | 11.5236 | + | 43.0068i | 0.619515 | + | 2.31206i | ||||
\(347\) | 0.219367i | 0.0117763i | 0.999983 | + | 0.00588813i | \(0.00187426\pi\) | ||||
−0.999983 | + | 0.00588813i | \(0.998126\pi\) | |||||||
\(348\) | 0.0238239 | + | 0.142230i | 0.00127709 | + | 0.00762433i | ||||
\(349\) | 0.844625 | + | 3.15218i | 0.0452117 | + | 0.168733i | 0.984840 | − | 0.173464i | \(-0.0554959\pi\) |
−0.939629 | + | 0.342196i | \(0.888829\pi\) | |||||||
\(350\) | 4.64242 | − | 43.5218i | 0.248148 | − | 2.32634i | ||||
\(351\) | −13.3413 | − | 13.1534i | −0.712104 | − | 0.702074i | ||||
\(352\) | 20.0492 | + | 34.7262i | 1.06863 | + | 1.85092i | ||||
\(353\) | −11.4247 | − | 3.06124i | −0.608076 | − | 0.162933i | −0.0583747 | − | 0.998295i | \(-0.518592\pi\) |
−0.549701 | + | 0.835361i | \(0.685258\pi\) | |||||||
\(354\) | −26.1286 | + | 21.5455i | −1.38872 | + | 1.14513i | ||||
\(355\) | −7.38637 | − | 4.26452i | −0.392028 | − | 0.226337i | ||||
\(356\) | −14.7970 | + | 14.7970i | −0.784240 | + | 0.784240i | ||||
\(357\) | −0.875468 | − | 2.62865i | −0.0463347 | − | 0.139123i | ||||
\(358\) | −2.38792 | − | 0.639840i | −0.126205 | − | 0.0338166i | ||||
\(359\) | 9.13128 | − | 34.0784i | 0.481930 | − | 1.79859i | −0.111572 | − | 0.993756i | \(-0.535588\pi\) |
0.593502 | − | 0.804833i | \(-0.297745\pi\) | |||||||
\(360\) | −9.20419 | + | 3.17246i | −0.485103 | + | 0.167203i | ||||
\(361\) | −10.1096 | + | 5.83676i | −0.532083 | + | 0.307198i | ||||
\(362\) | −1.49456 | − | 1.49456i | −0.0785523 | − | 0.0785523i | ||||
\(363\) | −35.4647 | + | 5.94041i | −1.86141 | + | 0.311791i | ||||
\(364\) | −14.6070 | − | 1.07497i | −0.765612 | − | 0.0563440i | ||||
\(365\) | − | 14.7811i | − | 0.773679i | ||||||
\(366\) | 2.89324 | + | 2.06305i | 0.151232 | + | 0.107838i | ||||
\(367\) | 1.15740 | + | 2.00467i | 0.0604157 | + | 0.104643i | 0.894651 | − | 0.446765i | \(-0.147424\pi\) |
−0.834236 | + | 0.551408i | \(0.814091\pi\) | |||||||
\(368\) | 12.8818 | 0.671508 | ||||||||
\(369\) | 19.5191 | − | 1.37100i | 1.01612 | − | 0.0713716i | ||||
\(370\) | 13.0744 | − | 48.7944i | 0.679707 | − | 2.53670i | ||||
\(371\) | −3.17159 | + | 2.56019i | −0.164661 | + | 0.132918i | ||||
\(372\) | −10.6603 | − | 7.60144i | −0.552712 | − | 0.394116i | ||||
\(373\) | 6.40900 | − | 11.1007i | 0.331845 | − | 0.574773i | −0.651028 | − | 0.759053i | \(-0.725662\pi\) |
0.982874 | + | 0.184280i | \(0.0589954\pi\) | |||||||
\(374\) | 3.20330 | + | 5.54828i | 0.165639 | + | 0.286895i | ||||
\(375\) | −24.3255 | − | 2.33847i | −1.25617 | − | 0.120758i | ||||
\(376\) | −1.61458 | + | 0.932176i | −0.0832654 | + | 0.0480733i | ||||
\(377\) | −0.190419 | − | 0.0443833i | −0.00980710 | − | 0.00228586i | ||||
\(378\) | −15.7582 | + | 20.4906i | −0.810514 | + | 1.05392i | ||||
\(379\) | 10.4302 | − | 2.79475i | 0.535762 | − | 0.143557i | 0.0192141 | − | 0.999815i | \(-0.493884\pi\) |
0.516548 | + | 0.856258i | \(0.327217\pi\) | |||||||
\(380\) | − | 15.4373i | − | 0.791918i | ||||||
\(381\) | 6.64722 | − | 1.11342i | 0.340547 | − | 0.0570425i | ||||
\(382\) | 32.8358 | − | 8.79833i | 1.68003 | − | 0.450162i | ||||
\(383\) | 3.07334 | + | 11.4698i | 0.157040 | + | 0.586082i | 0.998922 | + | 0.0464199i | \(0.0147812\pi\) |
−0.841882 | + | 0.539662i | \(0.818552\pi\) | |||||||
\(384\) | 11.7247 | + | 1.12712i | 0.598322 | + | 0.0575181i | ||||
\(385\) | −34.7895 | − | 43.0976i | −1.77304 | − | 2.19646i | ||||
\(386\) | −36.1106 | + | 20.8485i | −1.83798 | + | 1.06116i | ||||
\(387\) | 5.00056 | + | 14.5080i | 0.254193 | + | 0.737485i | ||||
\(388\) | 13.1763 | + | 3.53059i | 0.668927 | + | 0.179238i | ||||
\(389\) | 2.91582 | − | 5.05035i | 0.147838 | − | 0.256063i | −0.782590 | − | 0.622537i | \(-0.786102\pi\) |
0.930428 | + | 0.366474i | \(0.119435\pi\) | |||||||
\(390\) | −2.74747 | + | 43.5310i | −0.139124 | + | 2.20428i | ||||
\(391\) | 1.65237 | 0.0835641 | ||||||||
\(392\) | −0.301156 | − | 6.10800i | −0.0152107 | − | 0.308501i | ||||
\(393\) | 0.716051 | − | 1.91607i | 0.0361200 | − | 0.0966531i | ||||
\(394\) | 0.374720 | + | 0.216345i | 0.0188781 | + | 0.0108993i | ||||
\(395\) | −3.01801 | − | 11.2634i | −0.151853 | − | 0.566722i | ||||
\(396\) | 11.3722 | − | 23.3348i | 0.571474 | − | 1.17262i | ||||
\(397\) | −1.28622 | − | 4.80023i | −0.0645535 | − | 0.240917i | 0.926109 | − | 0.377257i | \(-0.123133\pi\) |
−0.990662 | + | 0.136340i | \(0.956466\pi\) | |||||||
\(398\) | 26.9431 | + | 26.9431i | 1.35053 | + | 1.35053i | ||||
\(399\) | 6.83175 | + | 10.3529i | 0.342015 | + | 0.518295i | ||||
\(400\) | 35.9138 | + | 20.7348i | 1.79569 | + | 1.03674i | ||||
\(401\) | −13.6543 | − | 13.6543i | −0.681864 | − | 0.681864i | 0.278556 | − | 0.960420i | \(-0.410144\pi\) |
−0.960420 | + | 0.278556i | \(0.910144\pi\) | |||||||
\(402\) | 15.0281 | + | 5.61613i | 0.749535 | + | 0.280107i | ||||
\(403\) | 15.0739 | − | 9.37523i | 0.750883 | − | 0.467013i | ||||
\(404\) | −6.04710 | + | 3.49129i | −0.300854 | + | 0.173698i | ||||
\(405\) | 26.7120 | + | 20.1029i | 1.32733 | + | 0.998923i | ||||
\(406\) | −0.0286137 | + | 0.268248i | −0.00142008 | + | 0.0133129i | ||||
\(407\) | −20.3804 | − | 35.2999i | −1.01022 | − | 1.74975i | ||||
\(408\) | 0.910661 | + | 0.0875439i | 0.0450844 | + | 0.00433407i | ||||
\(409\) | −7.23156 | − | 7.23156i | −0.357578 | − | 0.357578i | 0.505342 | − | 0.862919i | \(-0.331366\pi\) |
−0.862919 | + | 0.505342i | \(0.831366\pi\) | |||||||
\(410\) | −32.2123 | − | 32.2123i | −1.59085 | − | 1.59085i | ||||
\(411\) | −8.89251 | − | 0.854857i | −0.438635 | − | 0.0421670i | ||||
\(412\) | 5.28767 | + | 9.15851i | 0.260505 | + | 0.451207i | ||||
\(413\) | −25.1516 | + | 11.1516i | −1.23763 | + | 0.548734i | ||||
\(414\) | −8.62467 | − | 12.7780i | −0.423880 | − | 0.628006i | ||||
\(415\) | 25.2414 | − | 14.5731i | 1.23905 | − | 0.715367i | ||||
\(416\) | 12.0913 | − | 22.6257i | 0.592826 | − | 1.10932i | ||||
\(417\) | −16.1585 | − | 6.03857i | −0.791287 | − | 0.295710i | ||||
\(418\) | −20.2813 | − | 20.2813i | −0.991990 | − | 0.991990i | ||||
\(419\) | 2.28595 | + | 1.31979i | 0.111676 | + | 0.0644761i | 0.554798 | − | 0.831985i | \(-0.312796\pi\) |
−0.443122 | + | 0.896461i | \(0.646129\pi\) | |||||||
\(420\) | 26.0891 | − | 1.55923i | 1.27302 | − | 0.0760827i | ||||
\(421\) | −20.5483 | − | 20.5483i | −1.00146 | − | 1.00146i | −0.999999 | − | 0.00146365i | \(-0.999534\pi\) |
−0.00146365 | − | 0.999999i | \(-0.500466\pi\) | |||||||
\(422\) | 8.60368 | + | 32.1094i | 0.418821 | + | 1.56306i | ||||
\(423\) | 5.75502 | + | 2.80470i | 0.279819 | + | 0.136369i | ||||
\(424\) | −0.348343 | − | 1.30003i | −0.0169170 | − | 0.0631352i | ||||
\(425\) | 4.60674 | + | 2.65970i | 0.223460 | + | 0.129015i | ||||
\(426\) | 2.61764 | − | 7.00453i | 0.126825 | − | 0.339370i | ||||
\(427\) | 1.81327 | + | 2.24630i | 0.0877504 | + | 0.108706i | ||||
\(428\) | −11.5433 | −0.557965 | ||||||||
\(429\) | 23.2694 | + | 26.4046i | 1.12346 | + | 1.27483i | ||||
\(430\) | 17.8634 | − | 30.9403i | 0.861448 | − | 1.49207i | ||||
\(431\) | 12.2196 | + | 3.27422i | 0.588595 | + | 0.157714i | 0.540811 | − | 0.841144i | \(-0.318117\pi\) |
0.0477840 | + | 0.998858i | \(0.484784\pi\) | |||||||
\(432\) | −11.6963 | − | 21.5181i | −0.562741 | − | 1.03529i | ||||
\(433\) | 14.6025 | − | 8.43076i | 0.701751 | − | 0.405156i | −0.106248 | − | 0.994340i | \(-0.533884\pi\) |
0.807999 | + | 0.589183i | \(0.200550\pi\) | |||||||
\(434\) | −15.3841 | − | 19.0579i | −0.738458 | − | 0.914810i | ||||
\(435\) | 0.347299 | + | 0.0333866i | 0.0166517 | + | 0.00160076i | ||||
\(436\) | −3.20621 | − | 11.9657i | −0.153549 | − | 0.573054i | ||||
\(437\) | −7.14552 | + | 1.91464i | −0.341817 | + | 0.0915895i | ||||
\(438\) | 12.7810 | − | 2.14084i | 0.610699 | − | 0.102293i | ||||
\(439\) | 19.8601i | 0.947872i | 0.880559 | + | 0.473936i | \(0.157167\pi\) | ||||
−0.880559 | + | 0.473936i | \(0.842833\pi\) | |||||||
\(440\) | 17.6657 | − | 4.73350i | 0.842178 | − | 0.225661i | ||||
\(441\) | −16.8065 | + | 12.5914i | −0.800308 | + | 0.599589i | ||||
\(442\) | 1.93186 | − | 3.61495i | 0.0918890 | − | 0.171946i | ||||
\(443\) | 1.78376 | − | 1.02985i | 0.0847488 | − | 0.0489297i | −0.457027 | − | 0.889453i | \(-0.651086\pi\) |
0.541775 | + | 0.840523i | \(0.317752\pi\) | |||||||
\(444\) | 19.1457 | + | 1.84052i | 0.908616 | + | 0.0873473i | ||||
\(445\) | 25.3139 | + | 43.8450i | 1.20000 | + | 2.07845i | ||||
\(446\) | 6.15684 | − | 10.6640i | 0.291535 | − | 0.504953i | ||||
\(447\) | −25.1219 | − | 17.9134i | −1.18822 | − | 0.847273i | ||||
\(448\) | −9.75440 | − | 3.76169i | −0.460852 | − | 0.177723i | ||||
\(449\) | −0.731361 | + | 2.72948i | −0.0345151 | + | 0.128812i | −0.981034 | − | 0.193837i | \(-0.937907\pi\) |
0.946519 | + | 0.322649i | \(0.104573\pi\) | |||||||
\(450\) | −3.47733 | − | 49.5071i | −0.163923 | − | 2.33379i | ||||
\(451\) | −36.7581 | −1.73087 | ||||||||
\(452\) | −14.0624 | − | 24.3568i | −0.661440 | − | 1.14565i | ||||
\(453\) | −13.7713 | − | 9.81971i | −0.647030 | − | 0.461370i | ||||
\(454\) | − | 28.1257i | − | 1.32000i | ||||||
\(455\) | −11.6587 | + | 33.4622i | −0.546567 | + | 1.56873i | ||||
\(456\) | −4.03950 | + | 0.676626i | −0.189167 | + | 0.0316859i | ||||
\(457\) | −4.58547 | − | 4.58547i | −0.214499 | − | 0.214499i | 0.591676 | − | 0.806176i | \(-0.298466\pi\) |
−0.806176 | + | 0.591676i | \(0.798466\pi\) | |||||||
\(458\) | 4.50522 | − | 2.60109i | 0.210515 | − | 0.121541i | ||||
\(459\) | −1.50032 | − | 2.76017i | −0.0700287 | − | 0.128834i | ||||
\(460\) | −4.03425 | + | 15.0560i | −0.188098 | + | 0.701991i | ||||
\(461\) | −26.6446 | − | 7.13940i | −1.24096 | − | 0.332515i | −0.422124 | − | 0.906538i | \(-0.638715\pi\) |
−0.818839 | + | 0.574023i | \(0.805382\pi\) | |||||||
\(462\) | 32.2270 | − | 36.3239i | 1.49933 | − | 1.68994i | ||||
\(463\) | 6.97329 | − | 6.97329i | 0.324076 | − | 0.324076i | −0.526252 | − | 0.850329i | \(-0.676403\pi\) |
0.850329 | + | 0.526252i | \(0.176403\pi\) | |||||||
\(464\) | −0.221356 | − | 0.127800i | −0.0102762 | − | 0.00593296i | ||||
\(465\) | −24.4392 | + | 20.1525i | −1.13334 | + | 0.934551i | ||||
\(466\) | 2.24398 | + | 0.601271i | 0.103950 | + | 0.0278534i | ||||
\(467\) | 17.0379 | + | 29.5105i | 0.788420 | + | 1.36558i | 0.926934 | + | 0.375224i | \(0.122434\pi\) |
−0.138514 | + | 0.990361i | \(0.544233\pi\) | |||||||
\(468\) | −16.5196 | + | 1.70640i | −0.763620 | + | 0.0788781i | ||||
\(469\) | 10.5325 | + | 7.67725i | 0.486346 | + | 0.354502i | ||||
\(470\) | −3.85767 | − | 14.3970i | −0.177941 | − | 0.664086i | ||||
\(471\) | −5.20444 | − | 31.0709i | −0.239808 | − | 1.43167i | ||||
\(472\) | − | 9.08480i | − | 0.418162i | ||||||
\(473\) | −7.46115 | − | 27.8454i | −0.343064 | − | 1.28033i | ||||
\(474\) | 9.30212 | − | 4.24097i | 0.427261 | − | 0.194794i | ||||
\(475\) | −23.0032 | − | 6.16370i | −1.05546 | − | 0.282810i | ||||
\(476\) | −2.29150 | − | 0.883694i | −0.105031 | − | 0.0405040i | ||||
\(477\) | −3.03104 | + | 3.48900i | −0.138782 | + | 0.159750i | ||||
\(478\) | − | 43.3783i | − | 1.98408i | ||||||
\(479\) | −5.36518 | + | 20.0231i | −0.245141 | + | 0.914879i | 0.728171 | + | 0.685395i | \(0.240371\pi\) |
−0.973312 | + | 0.229484i | \(0.926296\pi\) | |||||||
\(480\) | −16.0251 | + | 42.8813i | −0.731440 | + | 1.95725i | ||||
\(481\) | −12.2911 | + | 22.9994i | −0.560424 | + | 1.04868i | ||||
\(482\) | 28.1011i | 1.27997i | ||||||||
\(483\) | −3.95747 | − | 11.8826i | −0.180071 | − | 0.540676i | ||||
\(484\) | −15.9377 | + | 27.6049i | −0.724441 | + | 1.25477i | ||||
\(485\) | 16.5014 | − | 28.5813i | 0.749291 | − | 1.29781i | ||||
\(486\) | −13.5138 | + | 26.0091i | −0.612998 | + | 1.17979i | ||||
\(487\) | −6.10785 | − | 6.10785i | −0.276773 | − | 0.276773i | 0.555046 | − | 0.831819i | \(-0.312700\pi\) |
−0.831819 | + | 0.555046i | \(0.812700\pi\) | |||||||
\(488\) | −0.920757 | + | 0.246716i | −0.0416807 | + | 0.0111683i | ||||
\(489\) | 23.3815 | + | 16.6724i | 1.05735 | + | 0.753951i | ||||
\(490\) | 47.7908 | + | 10.3129i | 2.15897 | + | 0.465890i | ||||
\(491\) | −18.2214 | + | 31.5604i | −0.822321 | + | 1.42430i | 0.0816292 | + | 0.996663i | \(0.473988\pi\) |
−0.903950 | + | 0.427638i | \(0.859346\pi\) | |||||||
\(492\) | 10.0702 | − | 14.1226i | 0.454001 | − | 0.636695i | ||||
\(493\) | −0.0283938 | − | 0.0163932i | −0.00127879 | − | 0.000738311i | ||||
\(494\) | −4.16540 | + | 17.8710i | −0.187410 | + | 0.804054i | ||||
\(495\) | −47.4107 | − | 41.1877i | −2.13095 | − | 1.85125i | ||||
\(496\) | 22.4151 | − | 6.00610i | 1.00647 | − | 0.269682i | ||||
\(497\) | 3.57832 | − | 4.90914i | 0.160510 | − | 0.220205i | ||||
\(498\) | 16.2570 | + | 19.7151i | 0.728494 | + | 0.883454i | ||||
\(499\) | −9.30967 | + | 34.7442i | −0.416758 | + | 1.55536i | 0.364530 | + | 0.931192i | \(0.381230\pi\) |
−0.781288 | + | 0.624171i | \(0.785437\pi\) | |||||||
\(500\) | −15.3178 | + | 15.3178i | −0.685033 | + | 0.685033i | ||||
\(501\) | −8.40231 | + | 11.7835i | −0.375387 | + | 0.526447i | ||||
\(502\) | 28.0685 | + | 7.52093i | 1.25276 | + | 0.335675i | ||||
\(503\) | 11.3014 | − | 6.52484i | 0.503903 | − | 0.290928i | −0.226421 | − | 0.974030i | \(-0.572703\pi\) |
0.730324 | + | 0.683101i | \(0.239369\pi\) | |||||||
\(504\) | −1.55151 | − | 6.75843i | −0.0691096 | − | 0.301045i | ||||
\(505\) | 4.37233 | + | 16.3178i | 0.194566 | + | 0.726131i | ||||
\(506\) | 14.4802 | + | 25.0805i | 0.643725 | + | 1.11496i | ||||
\(507\) | 6.48237 | − | 21.5634i | 0.287892 | − | 0.957663i | ||||
\(508\) | 2.98724 | − | 5.17405i | 0.132537 | − | 0.229561i | ||||
\(509\) | 14.0216 | − | 14.0216i | 0.621497 | − | 0.621497i | −0.324417 | − | 0.945914i | \(-0.605168\pi\) |
0.945914 | + | 0.324417i | \(0.105168\pi\) | |||||||
\(510\) | −2.56036 | + | 6.85123i | −0.113374 | + | 0.303377i | ||||
\(511\) | 10.4686 | + | 1.11667i | 0.463102 | + | 0.0493986i | ||||
\(512\) | 17.8903 | − | 17.8903i | 0.790647 | − | 0.790647i | ||||
\(513\) | 9.68623 | + | 10.1976i | 0.427657 | + | 0.450237i | ||||
\(514\) | 11.3520 | − | 11.3520i | 0.500717 | − | 0.500717i | ||||
\(515\) | 24.7137 | − | 6.62203i | 1.08902 | − | 0.291801i | ||||
\(516\) | 12.7423 | + | 4.76191i | 0.560950 | + | 0.209631i | ||||
\(517\) | −10.4154 | − | 6.01333i | −0.458069 | − | 0.264466i | ||||
\(518\) | 33.5704 | + | 12.9461i | 1.47500 | + | 0.568819i | ||||
\(519\) | 6.77563 | + | 40.4509i | 0.297417 | + | 1.77560i | ||||
\(520\) | −8.54058 | − | 7.99783i | −0.374529 | − | 0.350728i | ||||
\(521\) | −34.8757 | − | 20.1355i | −1.52793 | − | 0.882151i | −0.999448 | − | 0.0332069i | \(-0.989428\pi\) |
−0.528482 | − | 0.848944i | \(-0.677239\pi\) | |||||||
\(522\) | 0.0214326 | + | 0.305139i | 0.000938081 | + | 0.0133556i | ||||
\(523\) | −9.65007 | −0.421968 | −0.210984 | − | 0.977489i | \(-0.567667\pi\) | ||||
−0.210984 | + | 0.977489i | \(0.567667\pi\) | |||||||
\(524\) | −0.906610 | − | 1.57029i | −0.0396054 | − | 0.0685986i | ||||
\(525\) | 8.09326 | − | 39.4981i | 0.353219 | − | 1.72384i | ||||
\(526\) | −6.12916 | + | 22.8743i | −0.267244 | + | 0.997369i | ||||
\(527\) | 2.87523 | − | 0.770416i | 0.125247 | − | 0.0335599i | ||||
\(528\) | 19.0860 | + | 41.8631i | 0.830610 | + | 1.82186i | ||||
\(529\) | −15.5306 | −0.675244 | ||||||||
\(530\) | 10.7600 | 0.467384 | ||||||||
\(531\) | −25.8578 | + | 17.4530i | −1.12213 | + | 0.757396i | ||||
\(532\) | 10.9333 | + | 1.16624i | 0.474019 | + | 0.0505631i | ||||
\(533\) | 12.4201 | + | 19.9695i | 0.537975 | + | 0.864977i | ||||
\(534\) | −34.2456 | + | 28.2389i | −1.48195 | + | 1.22202i | ||||
\(535\) | −7.22812 | + | 26.9757i | −0.312499 | + | 1.16626i | ||||
\(536\) | −3.72712 | + | 2.15185i | −0.160987 | + | 0.0929459i | ||||
\(537\) | −2.13320 | − | 0.797193i | −0.0920544 | − | 0.0344014i | ||||
\(538\) | 22.1121 | + | 22.1121i | 0.953320 | + | 0.953320i | ||||
\(539\) | 33.1516 | − | 21.3834i | 1.42794 | − | 0.921046i | ||||
\(540\) | 28.8130 | − | 6.93160i | 1.23992 | − | 0.298289i | ||||
\(541\) | 10.4810 | + | 2.80838i | 0.450615 | + | 0.120742i | 0.476987 | − | 0.878910i | \(-0.341729\pi\) |
−0.0263722 | + | 0.999652i | \(0.508396\pi\) | |||||||
\(542\) | − | 43.9948i | − | 1.88974i | ||||||
\(543\) | −1.23869 | − | 1.50218i | −0.0531574 | − | 0.0644647i | ||||
\(544\) | 3.04181 | − | 3.04181i | 0.130416 | − | 0.130416i | ||||
\(545\) | −29.9706 | −1.28380 | ||||||||
\(546\) | −30.6228 | − | 5.23450i | −1.31053 | − | 0.224016i | ||||
\(547\) | −6.62360 | −0.283205 | −0.141602 | − | 0.989924i | \(-0.545225\pi\) | ||||
−0.141602 | + | 0.989924i | \(0.545225\pi\) | |||||||
\(548\) | −5.59961 | + | 5.59961i | −0.239204 | + | 0.239204i | ||||
\(549\) | 2.47111 | + | 2.14675i | 0.105464 | + | 0.0916212i | ||||
\(550\) | 93.2310i | 3.97539i | ||||||||
\(551\) | 0.141781 | + | 0.0379902i | 0.00604008 | + | 0.00161844i | ||||
\(552\) | 4.11656 | + | 0.395734i | 0.175212 | + | 0.0168436i | ||||
\(553\) | 8.20516 | − | 1.28656i | 0.348919 | − | 0.0547100i | ||||
\(554\) | −25.0845 | − | 25.0845i | −1.06574 | − | 1.06574i | ||||
\(555\) | 16.2898 | − | 43.5896i | 0.691462 | − | 1.85028i | ||||
\(556\) | −13.2425 | + | 7.64558i | −0.561608 | + | 0.324245i | ||||
\(557\) | −6.61083 | + | 24.6720i | −0.280110 | + | 1.04538i | 0.672229 | + | 0.740343i | \(0.265337\pi\) |
−0.952339 | + | 0.305041i | \(0.901330\pi\) | |||||||
\(558\) | −20.9652 | − | 18.2134i | −0.887528 | − | 0.771033i | ||||
\(559\) | −12.6065 | + | 13.4620i | −0.533199 | + | 0.569383i | ||||
\(560\) | −27.2858 | + | 37.4337i | −1.15303 | + | 1.58186i | ||||
\(561\) | 2.44820 | + | 5.36987i | 0.103363 | + | 0.226716i | ||||
\(562\) | 17.3115 | 0.730240 | ||||||||
\(563\) | −32.9124 | −1.38709 | −0.693547 | − | 0.720411i | \(-0.743953\pi\) | ||||
−0.693547 | + | 0.720411i | \(0.743953\pi\) | |||||||
\(564\) | 5.16374 | − | 2.35422i | 0.217433 | − | 0.0991306i | ||||
\(565\) | −65.7255 | + | 17.6111i | −2.76509 | + | 0.740904i | ||||
\(566\) | 4.32703 | − | 16.1487i | 0.181879 | − | 0.678780i | ||||
\(567\) | −16.2557 | + | 17.3998i | −0.682675 | + | 0.730722i | ||||
\(568\) | 1.00297 | + | 1.73719i | 0.0420835 | + | 0.0728908i | ||||
\(569\) | −10.0571 | −0.421614 | −0.210807 | − | 0.977528i | \(-0.567609\pi\) | ||||
−0.210807 | + | 0.977528i | \(0.567609\pi\) | |||||||
\(570\) | 3.13335 | − | 32.5942i | 0.131242 | − | 1.36522i | ||||
\(571\) | 6.98744 | + | 4.03420i | 0.292415 | + | 0.168826i | 0.639031 | − | 0.769181i | \(-0.279336\pi\) |
−0.346615 | + | 0.938007i | \(0.612669\pi\) | |||||||
\(572\) | 31.1814 | − | 1.02331i | 1.30376 | − | 0.0427867i | ||||
\(573\) | 30.8844 | − | 5.17321i | 1.29021 | − | 0.216114i | ||||
\(574\) | 25.2476 | − | 20.3805i | 1.05381 | − | 0.850665i | ||||
\(575\) | 20.8243 | + | 12.0229i | 0.868434 | + | 0.501391i | ||||
\(576\) | −11.6373 | − | 2.25831i | −0.484887 | − | 0.0940962i | ||||
\(577\) | 20.5995 | − | 5.51963i | 0.857570 | − | 0.229785i | 0.196865 | − | 0.980431i | \(-0.436924\pi\) |
0.660705 | + | 0.750646i | \(0.270257\pi\) | |||||||
\(578\) | −22.1162 | + | 22.1162i | −0.919914 | + | 0.919914i | ||||
\(579\) | −34.9494 | + | 15.9339i | −1.45245 | + | 0.662191i | ||||
\(580\) | 0.218694 | − | 0.218694i | 0.00908077 | − | 0.00908077i | ||||
\(581\) | 8.41435 | + | 18.9779i | 0.349086 | + | 0.787336i | ||||
\(582\) | 27.1038 | + | 10.1289i | 1.12349 | + | 0.419856i | ||||
\(583\) | 6.13922 | − | 6.13922i | 0.254260 | − | 0.254260i | ||||
\(584\) | −1.73817 | + | 3.01060i | −0.0719261 | + | 0.124580i | ||||
\(585\) | −6.35649 | + | 39.6736i | −0.262808 | + | 1.64030i | ||||
\(586\) | −8.28769 | − | 14.3547i | −0.342361 | − | 0.592987i | ||||
\(587\) | 1.34299 | + | 5.01211i | 0.0554312 | + | 0.206872i | 0.988087 | − | 0.153895i | \(-0.0491817\pi\) |
−0.932656 | + | 0.360767i | \(0.882515\pi\) | |||||||
\(588\) | −0.866648 | + | 18.5951i | −0.0357400 | + | 0.766851i | ||||
\(589\) | −11.5410 | + | 6.66318i | −0.475537 | + | 0.274551i | ||||
\(590\) | 70.1553 | + | 18.7981i | 2.88825 | + | 0.773904i | ||||
\(591\) | 0.324529 | + | 0.231409i | 0.0133494 | + | 0.00951887i | ||||
\(592\) | −24.1054 | + | 24.1054i | −0.990726 | + | 0.990726i | ||||
\(593\) | −3.31943 | + | 12.3883i | −0.136313 | + | 0.508726i | 0.863676 | + | 0.504047i | \(0.168156\pi\) |
−0.999989 | + | 0.00467892i | \(0.998511\pi\) | |||||||
\(594\) | 28.7475 | − | 46.9607i | 1.17952 | − | 1.92682i | ||||
\(595\) | −3.50001 | + | 4.80170i | −0.143486 | + | 0.196851i | ||||
\(596\) | −26.4188 | + | 7.07889i | −1.08216 | + | 0.289963i | ||||
\(597\) | 22.3305 | + | 27.0805i | 0.913926 | + | 1.10833i | ||||
\(598\) | 8.73277 | − | 16.3411i | 0.357110 | − | 0.668236i | ||||
\(599\) | 10.4916 | + | 6.05735i | 0.428677 | + | 0.247497i | 0.698783 | − | 0.715334i | \(-0.253725\pi\) |
−0.270106 | + | 0.962831i | \(0.587059\pi\) | |||||||
\(600\) | 10.8398 | + | 7.72940i | 0.442532 | + | 0.315552i | ||||
\(601\) | −0.436511 | + | 0.756059i | −0.0178057 | + | 0.0308403i | −0.874791 | − | 0.484501i | \(-0.839001\pi\) |
0.856985 | + | 0.515341i | \(0.172335\pi\) | |||||||
\(602\) | 20.5636 | + | 14.9890i | 0.838109 | + | 0.610905i | ||||
\(603\) | 13.2850 | + | 6.47442i | 0.541007 | + | 0.263659i | ||||
\(604\) | −14.4822 | + | 3.88049i | −0.589272 | + | 0.157895i | ||||
\(605\) | 54.5307 | + | 54.5307i | 2.21699 | + | 2.21699i | ||||
\(606\) | −13.4764 | + | 6.14408i | −0.547442 | + | 0.249586i | ||||
\(607\) | −11.6161 | + | 20.1197i | −0.471483 | + | 0.816633i | −0.999468 | − | 0.0326210i | \(-0.989615\pi\) |
0.527984 | + | 0.849254i | \(0.322948\pi\) | |||||||
\(608\) | −9.62940 | + | 16.6786i | −0.390524 | + | 0.676407i | ||||
\(609\) | −0.0498831 | + | 0.243448i | −0.00202136 | + | 0.00986501i | ||||
\(610\) | − | 7.62084i | − | 0.308559i | ||||||
\(611\) | 0.252376 | + | 7.69020i | 0.0102101 | + | 0.311112i | ||||
\(612\) | −2.73383 | − | 0.530521i | −0.110508 | − | 0.0214450i | ||||
\(613\) | 10.9360 | − | 40.8135i | 0.441699 | − | 1.64844i | −0.282809 | − | 0.959176i | \(-0.591266\pi\) |
0.724508 | − | 0.689267i | \(-0.242067\pi\) | |||||||
\(614\) | 32.9503i | 1.32977i | ||||||||
\(615\) | −26.6976 | − | 32.3766i | −1.07655 | − | 1.30555i | ||||
\(616\) | 2.01786 | + | 12.8691i | 0.0813019 | + | 0.518512i | ||||
\(617\) | −14.4574 | − | 3.87384i | −0.582031 | − | 0.155955i | −0.0442226 | − | 0.999022i | \(-0.514081\pi\) |
−0.537809 | + | 0.843067i | \(0.680748\pi\) | |||||||
\(618\) | 9.30540 | + | 20.4104i | 0.374318 | + | 0.821028i | ||||
\(619\) | −7.32553 | − | 27.3392i | −0.294438 | − | 1.09886i | −0.941663 | − | 0.336558i | \(-0.890737\pi\) |
0.647225 | − | 0.762299i | \(-0.275929\pi\) | |||||||
\(620\) | 28.0794i | 1.12770i | ||||||||
\(621\) | −6.78203 | − | 12.4771i | −0.272154 | − | 0.500688i | ||||
\(622\) | −12.3547 | − | 46.1084i | −0.495379 | − | 1.84878i | ||||
\(623\) | −32.9651 | + | 14.6159i | −1.32072 | + | 0.585576i | ||||
\(624\) | 16.2940 | − | 24.5138i | 0.652283 | − | 0.981339i | ||||
\(625\) | 4.20916 | + | 7.29047i | 0.168366 | + | 0.291619i | ||||
\(626\) | 34.1791 | + | 9.15825i | 1.36607 | + | 0.366037i | ||||
\(627\) | −16.8092 | − | 20.3847i | −0.671293 | − | 0.814086i | ||||
\(628\) | −24.1849 | − | 13.9631i | −0.965081 | − | 0.557190i | ||||
\(629\) | −3.09205 | + | 3.09205i | −0.123288 | + | 0.123288i | ||||
\(630\) | 55.4008 | + | 2.00324i | 2.20722 | + | 0.0798108i | ||||
\(631\) | −30.8679 | − | 8.27103i | −1.22883 | − | 0.329264i | −0.414707 | − | 0.909955i | \(-0.636116\pi\) |
−0.814124 | + | 0.580690i | \(0.802783\pi\) | |||||||
\(632\) | −0.709801 | + | 2.64901i | −0.0282344 | + | 0.105372i | ||||
\(633\) | 5.05876 | + | 30.2011i | 0.201067 | + | 1.20039i | ||||
\(634\) | −20.2839 | + | 11.7109i | −0.805576 | + | 0.465099i | ||||
\(635\) | −10.2208 | − | 10.2208i | −0.405601 | − | 0.405601i | ||||
\(636\) | 0.676810 | + | 4.04060i | 0.0268373 | + | 0.160220i | ||||
\(637\) | −22.8185 | − | 10.7851i | −0.904100 | − | 0.427321i | ||||
\(638\) | − | 0.574633i | − | 0.0227499i | ||||||
\(639\) | 3.01769 | − | 6.19206i | 0.119378 | − | 0.244954i | ||||
\(640\) | −12.6305 | − | 21.8766i | −0.499264 | − | 0.864750i | ||||
\(641\) | 12.5013 | 0.493773 | 0.246886 | − | 0.969044i | \(-0.420593\pi\) | ||||
0.246886 | + | 0.969044i | \(0.420593\pi\) | |||||||
\(642\) | −24.3723 | − | 2.34297i | −0.961899 | − | 0.0924695i | ||||
\(643\) | 6.61108 | − | 24.6729i | 0.260716 | − | 0.973004i | −0.704105 | − | 0.710096i | \(-0.748652\pi\) |
0.964821 | − | 0.262908i | \(-0.0846817\pi\) | |||||||
\(644\) | −10.3585 | − | 3.99465i | −0.408182 | − | 0.157411i | ||||
\(645\) | 19.1072 | − | 26.7961i | 0.752344 | − | 1.05509i | ||||
\(646\) | −1.53851 | + | 2.66478i | −0.0605318 | + | 0.104844i | ||||
\(647\) | −10.5450 | − | 18.2645i | −0.414566 | − | 0.718050i | 0.580817 | − | 0.814034i | \(-0.302733\pi\) |
−0.995383 | + | 0.0959848i | \(0.969400\pi\) | |||||||
\(648\) | −3.07669 | − | 7.23573i | −0.120864 | − | 0.284246i | ||||
\(649\) | 50.7532 | − | 29.3024i | 1.99224 | − | 1.15022i | ||||
\(650\) | 50.6496 | − | 31.5016i | 1.98664 | − | 1.23560i | ||||
\(651\) | −12.4265 | − | 18.8313i | −0.487032 | − | 0.738056i | ||||
\(652\) | 24.5886 | − | 6.58849i | 0.962963 | − | 0.258025i | ||||
\(653\) | 9.35440i | 0.366066i | 0.983107 | + | 0.183033i | \(0.0585915\pi\) | ||||
−0.983107 | + | 0.183033i | \(0.941409\pi\) | |||||||
\(654\) | −4.34084 | − | 25.9151i | −0.169740 | − | 1.01336i | ||||
\(655\) | −4.23735 | + | 1.13540i | −0.165567 | + | 0.0443636i | ||||
\(656\) | 7.95676 | + | 29.6950i | 0.310659 | + | 1.15940i | ||||
\(657\) | 11.9082 | − | 0.836423i | 0.464585 | − | 0.0326320i | ||||
\(658\) | 10.4880 | − | 1.64450i | 0.408864 | − | 0.0641093i | ||||
\(659\) | 8.23487 | − | 4.75440i | 0.320785 | − | 0.185205i | −0.330958 | − | 0.943646i | \(-0.607372\pi\) |
0.651742 | + | 0.758440i | \(0.274038\pi\) | |||||||
\(660\) | −54.9063 | + | 9.19693i | −2.13722 | + | 0.357990i | ||||
\(661\) | −46.8199 | − | 12.5454i | −1.82108 | − | 0.487958i | −0.824162 | − | 0.566354i | \(-0.808353\pi\) |
−0.996922 | + | 0.0783963i | \(0.975020\pi\) | |||||||
\(662\) | 29.2855 | − | 50.7239i | 1.13821 | − | 1.97144i | ||||
\(663\) | 2.09007 | − | 3.14444i | 0.0811716 | − | 0.122120i | ||||
\(664\) | −6.85486 | −0.266020 | ||||||||
\(665\) | 9.57160 | − | 24.8200i | 0.371171 | − | 0.962479i | ||||
\(666\) | 40.0505 | + | 7.77212i | 1.55193 | + | 0.301164i | ||||
\(667\) | −0.128351 | − | 0.0741037i | −0.00496979 | − | 0.00286931i | ||||
\(668\) | 3.32037 | + | 12.3918i | 0.128469 | + | 0.479453i | ||||
\(669\) | 6.58553 | − | 9.23561i | 0.254611 | − | 0.357069i | ||||
\(670\) | −8.90513 | − | 33.2344i | −0.344035 | − | 1.28396i | ||||
\(671\) | −4.34814 | − | 4.34814i | −0.167858 | − | 0.167858i | ||||
\(672\) | −29.1595 | − | 14.5891i | −1.12485 | − | 0.562787i | ||||
\(673\) | 9.99482 | + | 5.77051i | 0.385272 | + | 0.222437i | 0.680110 | − | 0.733110i | \(-0.261932\pi\) |
−0.294838 | + | 0.955547i | \(0.595266\pi\) | |||||||
\(674\) | −35.3881 | − | 35.3881i | −1.36310 | − | 1.36310i | ||||
\(675\) | 1.17544 | − | 45.7021i | 0.0452427 | − | 1.75907i | ||||
\(676\) | −11.0917 | − | 16.5941i | −0.426605 | − | 0.638236i | ||||
\(677\) | 38.2430 | − | 22.0796i | 1.46980 | − | 0.848587i | 0.470370 | − | 0.882469i | \(-0.344120\pi\) |
0.999426 | + | 0.0338820i | \(0.0107870\pi\) | |||||||
\(678\) | −24.7474 | − | 54.2810i | −0.950420 | − | 2.08465i | ||||
\(679\) | 18.9958 | + | 13.8462i | 0.728990 | + | 0.531368i | ||||
\(680\) | −0.981016 | − | 1.69917i | −0.0376202 | − | 0.0651602i | ||||
\(681\) | 2.47924 | − | 25.7899i | 0.0950047 | − | 0.988270i | ||||
\(682\) | 36.8903 | + | 36.8903i | 1.41260 | + | 1.41260i | ||||
\(683\) | −20.8909 | − | 20.8909i | −0.799370 | − | 0.799370i | 0.183626 | − | 0.982996i | \(-0.441216\pi\) |
−0.982996 | + | 0.183626i | \(0.941216\pi\) | |||||||
\(684\) | 12.4369 | − | 0.873555i | 0.475537 | − | 0.0334012i | ||||
\(685\) | 9.57952 | + | 16.5922i | 0.366014 | + | 0.633956i | ||||
\(686\) | −10.9145 | + | 33.0682i | −0.416716 | + | 1.26255i | ||||
\(687\) | 4.36034 | − | 1.98794i | 0.166357 | − | 0.0758447i | ||||
\(688\) | −20.8798 | + | 12.0550i | −0.796037 | + | 0.459592i | ||||
\(689\) | −5.40961 | − | 1.26088i | −0.206090 | − | 0.0480358i | ||||
\(690\) | −11.5738 | + | 30.9703i | −0.440609 | + | 1.17902i | ||||
\(691\) | 20.0104 | + | 20.0104i | 0.761233 | + | 0.761233i | 0.976545 | − | 0.215312i | \(-0.0690770\pi\) |
−0.215312 | + | 0.976545i | \(0.569077\pi\) | |||||||
\(692\) | 31.4861 | + | 18.1785i | 1.19692 | + | 0.691044i | ||||
\(693\) | 32.7524 | − | 30.4665i | 1.24416 | − | 1.15733i | ||||
\(694\) | 0.291658 | + | 0.291658i | 0.0110712 | + | 0.0110712i | ||||
\(695\) | 9.57496 | + | 35.7342i | 0.363199 | + | 1.35548i | ||||
\(696\) | −0.0668114 | − | 0.0476404i | −0.00253248 | − | 0.00180581i | ||||
\(697\) | 1.02063 | + | 3.80905i | 0.0386592 | + | 0.144278i | ||||
\(698\) | 5.31393 | + | 3.06800i | 0.201135 | + | 0.116125i | ||||
\(699\) | 2.00461 | + | 0.749139i | 0.0758214 | + | 0.0283350i | ||||
\(700\) | −22.4491 | − | 27.8102i | −0.848497 | − | 1.05113i | ||||
\(701\) | 12.9133 | 0.487729 | 0.243865 | − | 0.969809i | \(-0.421585\pi\) | ||||
0.243865 | + | 0.969809i | \(0.421585\pi\) | |||||||
\(702\) | −35.2257 | + | 0.249832i | −1.32951 | + | 0.00942931i | ||||
\(703\) | 9.78846 | − | 16.9541i | 0.369179 | − | 0.639436i | ||||
\(704\) | 21.5104 | + | 5.76368i | 0.810702 | + | 0.217227i | ||||
\(705\) | −2.26822 | − | 13.5414i | −0.0854261 | − | 0.509999i | ||||
\(706\) | −19.2597 | + | 11.1196i | −0.724848 | + | 0.418491i | ||||
\(707\) | −11.8872 | + | 1.86390i | −0.447064 | + | 0.0700990i | ||||
\(708\) | −2.64625 | + | 27.5272i | −0.0994523 | + | 1.03454i | ||||
\(709\) | 5.97345 | + | 22.2932i | 0.224337 | + | 0.837239i | 0.982669 | + | 0.185370i | \(0.0593482\pi\) |
−0.758331 | + | 0.651869i | \(0.773985\pi\) | |||||||
\(710\) | −15.4904 | + | 4.15063i | −0.581343 | + | 0.155770i | ||||
\(711\) | 8.90342 | − | 3.06879i | 0.333904 | − | 0.115089i | ||||
\(712\) | − | 11.9071i | − | 0.446237i | ||||||
\(713\) | 12.9972 | − | 3.48259i | 0.486749 | − | 0.130424i | ||||
\(714\) | −4.65888 | − | 2.33093i | −0.174354 | − | 0.0872330i | ||||
\(715\) | 17.1337 | − | 73.5093i | 0.640763 | − | 2.74909i | ||||
\(716\) | −1.74824 | + | 1.00935i | −0.0653348 | + | 0.0377210i | ||||
\(717\) | 3.82374 | − | 39.7758i | 0.142800 | − | 1.48545i | ||||
\(718\) | −33.1682 | − | 57.4491i | −1.23783 | − | 2.14398i | ||||
\(719\) | 3.19930 | − | 5.54135i | 0.119314 | − | 0.206658i | −0.800182 | − | 0.599757i | \(-0.795264\pi\) |
0.919496 | + | 0.393100i | \(0.128597\pi\) | |||||||
\(720\) | −23.0108 | + | 47.2164i | −0.857562 | + | 1.75965i | ||||
\(721\) | 2.82293 | + | 18.0035i | 0.105131 | + | 0.670486i | ||||
\(722\) | −5.68088 | + | 21.2013i | −0.211420 | + | 0.789032i | ||||
\(723\) | −2.47707 | + | 25.7673i | −0.0921232 | + | 0.958296i | ||||
\(724\) | −1.72593 | −0.0641436 | ||||||||
\(725\) | −0.238559 | − | 0.413196i | −0.00885984 | − | 0.0153457i | ||||
\(726\) | −39.2538 | + | 55.0498i | −1.45684 | + | 2.04309i | ||||
\(727\) | 8.03354i | 0.297948i | 0.988841 | + | 0.148974i | \(0.0475970\pi\) | ||||
−0.988841 | + | 0.148974i | \(0.952403\pi\) | |||||||
\(728\) | 6.30959 | − | 5.44456i | 0.233849 | − | 0.201789i | ||||
\(729\) | −14.6841 | + | 22.6578i | −0.543857 | + | 0.839178i | ||||
\(730\) | −19.6521 | − | 19.6521i | −0.727358 | − | 0.727358i | ||||
\(731\) | −2.67830 | + | 1.54632i | −0.0990606 | + | 0.0571927i | ||||
\(732\) | 2.86179 | − | 0.479356i | 0.105775 | − | 0.0177175i | ||||
\(733\) | 7.91986 | − | 29.5573i | 0.292527 | − | 1.09172i | −0.650635 | − | 0.759390i | \(-0.725497\pi\) |
0.943162 | − | 0.332334i | \(-0.107836\pi\) | |||||||
\(734\) | 4.20411 | + | 1.12649i | 0.155176 | + | 0.0415794i | ||||
\(735\) | 42.9127 | + | 13.6691i | 1.58286 | + | 0.504193i | ||||
\(736\) | 13.7502 | − | 13.7502i | 0.506839 | − | 0.506839i | ||||
\(737\) | −24.0431 | − | 13.8813i | −0.885640 | − | 0.511324i | ||||
\(738\) | 24.1287 | − | 27.7743i | 0.888189 | − | 1.02239i | ||||
\(739\) | 47.6673 | + | 12.7724i | 1.75347 | + | 0.469841i | 0.985361 | − | 0.170479i | \(-0.0545314\pi\) |
0.768109 | + | 0.640319i | \(0.221198\pi\) | |||||||
\(740\) | −20.6249 | − | 35.7233i | −0.758185 | − | 1.31322i | ||||
\(741\) | −5.39477 | + | 16.0196i | −0.198182 | + | 0.588496i | ||||
\(742\) | −0.812885 | + | 7.62064i | −0.0298420 | + | 0.279763i | ||||
\(743\) | 2.06764 | + | 7.71653i | 0.0758543 | + | 0.283092i | 0.993426 | − | 0.114479i | \(-0.0365199\pi\) |
−0.917571 | + | 0.397571i | \(0.869853\pi\) | |||||||
\(744\) | 7.34758 | − | 1.23074i | 0.269375 | − | 0.0451210i | ||||
\(745\) | 66.1713i | 2.42433i | ||||||||
\(746\) | −6.23783 | − | 23.2799i | −0.228383 | − | 0.852338i | ||||
\(747\) | 13.1690 | + | 19.5108i | 0.481829 | + | 0.713863i | ||||
\(748\) | 5.05320 | + | 1.35400i | 0.184763 | + | 0.0495072i | ||||
\(749\) | −18.5592 | − | 7.15717i | −0.678138 | − | 0.261517i | ||||
\(750\) | −35.4509 | + | 29.2327i | −1.29448 | + | 1.06743i | ||||
\(751\) | − | 4.38879i | − | 0.160149i | −0.996789 | − | 0.0800746i | \(-0.974484\pi\) | ||
0.996789 | − | 0.0800746i | \(-0.0255159\pi\) | |||||||
\(752\) | −2.60333 | + | 9.71575i | −0.0949336 | + | 0.354297i | ||||
\(753\) | 25.0744 | + | 9.37051i | 0.913764 | + | 0.341480i | ||||
\(754\) | −0.312180 | + | 0.194161i | −0.0113689 | + | 0.00707094i | ||||
\(755\) | 36.2736i | 1.32013i | ||||||||
\(756\) | 2.73249 | + | 20.9302i | 0.0993797 | + | 0.761223i | ||||
\(757\) | −15.7004 | + | 27.1939i | −0.570641 | + | 0.988379i | 0.425859 | + | 0.904789i | \(0.359972\pi\) |
−0.996500 | + | 0.0835899i | \(0.973361\pi\) | |||||||
\(758\) | 10.1516 | − | 17.5831i | 0.368723 | − | 0.638647i | ||||
\(759\) | 11.0668 | + | 24.2740i | 0.401701 | + | 0.881090i | ||||
\(760\) | 6.21117 | + | 6.21117i | 0.225303 | + | 0.225303i | ||||
\(761\) | 23.6730 | − | 6.34317i | 0.858147 | − | 0.229940i | 0.197191 | − | 0.980365i | \(-0.436818\pi\) |
0.660955 | + | 0.750425i | \(0.270151\pi\) | |||||||
\(762\) | 7.35741 | − | 10.3181i | 0.266531 | − | 0.373785i | ||||
\(763\) | 2.26419 | − | 21.2264i | 0.0819693 | − | 0.768446i | ||||
\(764\) | 13.8793 | − | 24.0397i | 0.502137 | − | 0.869727i | ||||
\(765\) | −2.95165 | + | 6.05654i | −0.106717 | + | 0.218975i | ||||
\(766\) | 19.3358 | + | 11.1635i | 0.698630 | + | 0.403354i | ||||
\(767\) | −33.0680 | − | 17.6718i | −1.19402 | − | 0.638090i | ||||
\(768\) | 27.6479 | − | 22.7983i | 0.997656 | − | 0.822664i | ||||
\(769\) | −38.5907 | + | 10.3404i | −1.39162 | + | 0.372883i | −0.875327 | − | 0.483531i | \(-0.839354\pi\) |
−0.516290 | + | 0.856414i | \(0.672687\pi\) | |||||||
\(770\) | −103.554 | − | 11.0460i | −3.73183 | − | 0.398070i | ||||
\(771\) | 11.4099 | − | 9.40859i | 0.410918 | − | 0.338842i | ||||
\(772\) | −8.81242 | + | 32.8884i | −0.317166 | + | 1.18368i | ||||
\(773\) | −0.375752 | + | 0.375752i | −0.0135148 | + | 0.0135148i | −0.713832 | − | 0.700317i | \(-0.753042\pi\) |
0.700317 | + | 0.713832i | \(0.253042\pi\) | |||||||
\(774\) | 25.9375 | + | 12.6406i | 0.932305 | + | 0.454357i | ||||
\(775\) | 41.8413 | + | 11.2113i | 1.50298 | + | 0.402723i | ||||
\(776\) | −6.72199 | + | 3.88094i | −0.241305 | + | 0.139318i | ||||
\(777\) | 29.6412 | + | 14.8301i | 1.06337 | + | 0.532027i | ||||
\(778\) | −2.83795 | − | 10.5914i | −0.101745 | − | 0.379719i | ||||
\(779\) | −8.82724 | − | 15.2892i | −0.316269 | − | 0.547793i | ||||
\(780\) | 23.5486 | + | 26.7214i | 0.843174 | + | 0.956778i | ||||
\(781\) | −6.46999 | + | 11.2064i | −0.231515 | + | 0.400995i | ||||
\(782\) | 2.19690 | − | 2.19690i | 0.0785609 | − | 0.0785609i | ||||
\(783\) | −0.00724486 | + | 0.281686i | −0.000258910 | + | 0.0100666i | ||||
\(784\) | −24.4506 | − | 22.1529i | −0.873237 | − | 0.791173i | ||||
\(785\) | −47.7748 | + | 47.7748i | −1.70515 | + | 1.70515i | ||||
\(786\) | −1.59548 | − | 3.49952i | −0.0569089 | − | 0.124824i | ||||
\(787\) | 5.49343 | − | 5.49343i | 0.195819 | − | 0.195819i | −0.602386 | − | 0.798205i | \(-0.705783\pi\) |
0.798205 | + | 0.602386i | \(0.205783\pi\) | |||||||
\(788\) | 0.341283 | − | 0.0914466i | 0.0121577 | − | 0.00325765i | ||||
\(789\) | −7.63648 | + | 20.4344i | −0.271866 | + | 0.727482i | ||||
\(790\) | −18.9877 | − | 10.9626i | −0.675552 | − | 0.390030i | ||||
\(791\) | −7.50749 | − | 47.8798i | −0.266936 | − | 1.70241i | ||||
\(792\) | 4.81314 | + | 13.9643i | 0.171028 | + | 0.496199i | ||||
\(793\) | −0.893028 | + | 3.83140i | −0.0317124 | + | 0.136057i | ||||
\(794\) | −8.09220 | − | 4.67203i | −0.287181 | − | 0.165804i | ||||
\(795\) | 9.86638 | + | 0.948477i | 0.349924 | + | 0.0336390i | ||||
\(796\) | 31.1141 | 1.10281 | ||||||||
\(797\) | −22.0874 | − | 38.2564i | −0.782375 | − | 1.35511i | −0.930555 | − | 0.366152i | \(-0.880675\pi\) |
0.148180 | − | 0.988960i | \(-0.452658\pi\) | |||||||
\(798\) | 22.8478 | + | 4.68156i | 0.808802 | + | 0.165725i | ||||
\(799\) | −0.333934 | + | 1.24626i | −0.0118138 | + | 0.0440895i | ||||
\(800\) | 60.4676 | − | 16.2023i | 2.13785 | − | 0.572836i | ||||
\(801\) | −33.8908 | + | 22.8749i | −1.19747 | + | 0.808246i | ||||
\(802\) | −36.3080 | −1.28208 | ||||||||
\(803\) | −22.4254 | −0.791376 | ||||||||
\(804\) | 11.9201 | − | 5.43453i | 0.420389 | − | 0.191661i | ||||
\(805\) | −15.8214 | + | 21.7056i | −0.557633 | + | 0.765024i | ||||
\(806\) | 7.57658 | − | 32.5061i | 0.266874 | − | 1.14498i | ||||
\(807\) | 18.3265 | + | 22.2248i | 0.645125 | + | 0.782351i | ||||
\(808\) | 1.02832 | − | 3.83775i | 0.0361762 | − | 0.135011i | ||||
\(809\) | 22.7086 | − | 13.1108i | 0.798391 | − | 0.460952i | −0.0445169 | − | 0.999009i | \(-0.514175\pi\) |
0.842908 | + | 0.538057i | \(0.180842\pi\) | |||||||
\(810\) | 62.2425 | − | 8.78705i | 2.18698 | − | 0.308746i | ||||
\(811\) | 36.9479 | + | 36.9479i | 1.29742 | + | 1.29742i | 0.930094 | + | 0.367323i | \(0.119726\pi\) |
0.367323 | + | 0.930094i | \(0.380274\pi\) | |||||||
\(812\) | 0.138366 | + | 0.171409i | 0.00485569 | + | 0.00601528i | ||||
\(813\) | 3.87808 | − | 40.3411i | 0.136010 | − | 1.41482i | ||||
\(814\) | −74.0293 | − | 19.8361i | −2.59472 | − | 0.695254i | ||||
\(815\) | − | 61.5872i | − | 2.15730i | ||||||
\(816\) | 3.80811 | − | 3.14015i | 0.133310 | − | 0.109927i | ||||
\(817\) | 9.79031 | − | 9.79031i | 0.342520 | − | 0.342520i | ||||
\(818\) | −19.2293 | −0.672338 | ||||||||
\(819\) | −27.6182 | − | 7.49913i | −0.965057 | − | 0.262041i | ||||
\(820\) | −37.1990 | −1.29905 | ||||||||
\(821\) | −29.1458 | + | 29.1458i | −1.01720 | + | 1.01720i | −0.0173471 | + | 0.999850i | \(0.505522\pi\) |
−0.999850 | + | 0.0173471i | \(0.994478\pi\) | |||||||
\(822\) | −12.9595 | + | 10.6864i | −0.452016 | + | 0.372731i | ||||
\(823\) | − | 21.5674i | − | 0.751792i | −0.926662 | − | 0.375896i | \(-0.877335\pi\) | ||
0.926662 | − | 0.375896i | \(-0.122665\pi\) | |||||||
\(824\) | −5.81238 | − | 1.55742i | −0.202484 | − | 0.0542554i | ||||
\(825\) | −8.21818 | + | 85.4883i | −0.286120 | + | 2.97632i | ||||
\(826\) | −18.6136 | + | 48.2666i | −0.647648 | + | 1.67941i | ||||
\(827\) | 29.3146 | + | 29.3146i | 1.01937 | + | 1.01937i | 0.999809 | + | 0.0195606i | \(0.00622673\pi\) |
0.0195606 | + | 0.999809i | \(0.493773\pi\) | |||||||
\(828\) | −12.3580 | − | 2.39817i | −0.429471 | − | 0.0833422i | ||||
\(829\) | −38.6316 | + | 22.3040i | −1.34173 | + | 0.774650i | −0.987062 | − | 0.160342i | \(-0.948740\pi\) |
−0.354671 | + | 0.934991i | \(0.615407\pi\) | |||||||
\(830\) | 14.1839 | − | 52.9351i | 0.492331 | − | 1.83740i | ||||
\(831\) | −20.7901 | − | 25.2124i | −0.721199 | − | 0.874607i | ||||
\(832\) | −4.13685 | − | 13.6334i | −0.143420 | − | 0.472653i | ||||
\(833\) | −3.13634 | − | 2.84160i | −0.108668 | − | 0.0984554i | ||||
\(834\) | −29.5120 | + | 13.4549i | −1.02192 | + | 0.465906i | ||||
\(835\) | 31.0378 | 1.07411 | ||||||||
\(836\) | −23.4210 | −0.810031 | ||||||||
\(837\) | −17.6186 | − | 18.5488i | −0.608987 | − | 0.641140i | ||||
\(838\) | 4.79398 | − | 1.28454i | 0.165605 | − | 0.0443738i | ||||
\(839\) | −3.53087 | + | 13.1774i | −0.121899 | + | 0.454934i | −0.999710 | − | 0.0240731i | \(-0.992337\pi\) |
0.877811 | + | 0.479007i | \(0.159003\pi\) | |||||||
\(840\) | −9.86955 | + | 11.1243i | −0.340532 | + | 0.383823i | ||||
\(841\) | −14.4985 | − | 25.1122i | −0.499949 | − | 0.865938i | ||||
\(842\) | −54.6397 | −1.88301 | ||||||||
\(843\) | 15.8738 | + | 1.52598i | 0.546721 | + | 0.0525575i | ||||
\(844\) | 23.5079 | + | 13.5723i | 0.809175 | + | 0.467177i | ||||
\(845\) | −45.7246 | + | 15.5297i | −1.57297 | + | 0.534238i | ||||
\(846\) | 11.3805 | − | 3.92258i | 0.391270 | − | 0.134861i | ||||
\(847\) | −42.7404 | + | 34.5012i | −1.46858 | + | 1.18547i | ||||
\(848\) | −6.28848 | − | 3.63065i | −0.215947 | − | 0.124677i | ||||
\(849\) | 5.39116 | − | 14.4261i | 0.185024 | − | 0.495104i | ||||
\(850\) | 9.66104 | − | 2.58867i | 0.331371 | − | 0.0887906i | ||||
\(851\) | −13.9773 | + | 13.9773i | −0.479137 | + | 0.479137i | ||||
\(852\) | −2.53300 | − | 5.55588i | −0.0867792 | − | 0.190341i | ||||
\(853\) | −21.9441 | + | 21.9441i | −0.751353 | + | 0.751353i | −0.974732 | − | 0.223379i | \(-0.928291\pi\) |
0.223379 | + | 0.974732i | \(0.428291\pi\) | |||||||
\(854\) | 5.39737 | + | 0.575732i | 0.184694 | + | 0.0197011i | ||||
\(855\) | 5.74626 | − | 29.6111i | 0.196518 | − | 1.01268i | ||||
\(856\) | 4.64440 | − | 4.64440i | 0.158742 | − | 0.158742i | ||||
\(857\) | −19.1664 | + | 33.1973i | −0.654713 | + | 1.13400i | 0.327252 | + | 0.944937i | \(0.393877\pi\) |
−0.981966 | + | 0.189060i | \(0.939456\pi\) | |||||||
\(858\) | 66.0438 | + | 4.16837i | 2.25470 | + | 0.142306i | ||||
\(859\) | 5.44001 | + | 9.42237i | 0.185611 | + | 0.321487i | 0.943782 | − | 0.330568i | \(-0.107240\pi\) |
−0.758171 | + | 0.652055i | \(0.773907\pi\) | |||||||
\(860\) | −7.55065 | − | 28.1794i | −0.257475 | − | 0.960910i | ||||
\(861\) | 24.9473 | − | 16.4624i | 0.850201 | − | 0.561035i | ||||
\(862\) | 20.5996 | − | 11.8932i | 0.701626 | − | 0.405084i | ||||
\(863\) | 38.9626 | + | 10.4400i | 1.32630 | + | 0.355382i | 0.851335 | − | 0.524622i | \(-0.175793\pi\) |
0.474967 | + | 0.880003i | \(0.342460\pi\) | |||||||
\(864\) | −35.4536 | − | 10.4839i | −1.20616 | − | 0.356668i | ||||
\(865\) | 62.1977 | − | 62.1977i | 2.11478 | − | 2.11478i | ||||
\(866\) | 8.20559 | − | 30.6237i | 0.278837 | − | 1.04064i | ||||
\(867\) | −22.2290 | + | 18.3300i | −0.754936 | + | 0.622518i | ||||
\(868\) | −19.8869 | − | 2.12132i | −0.675007 | − | 0.0720022i | ||||
\(869\) | −17.0884 | + | 4.57882i | −0.579684 | + | 0.155326i | ||||
\(870\) | 0.506137 | − | 0.417359i | 0.0171597 | − | 0.0141498i | ||||
\(871\) | 0.582591 | + | 17.7522i | 0.0197403 | + | 0.601511i | ||||
\(872\) | 6.10439 | + | 3.52437i | 0.206721 | + | 0.119350i | ||||
\(873\) | 23.9600 | + | 11.6768i | 0.810922 | + | 0.395201i | ||||
\(874\) | −6.95468 | + | 12.0459i | −0.235246 | + | 0.407457i | ||||
\(875\) | −34.1253 | + | 15.1304i | −1.15365 | + | 0.511499i | ||||
\(876\) | 6.14365 | − | 8.61592i | 0.207575 | − | 0.291105i | ||||
\(877\) | −2.23291 | + | 0.598305i | −0.0753999 | + | 0.0202033i | −0.296322 | − | 0.955088i | \(-0.595760\pi\) |
0.220922 | + | 0.975292i | \(0.429093\pi\) | |||||||
\(878\) | 26.4049 | + | 26.4049i | 0.891121 | + | 0.891121i | ||||
\(879\) | −6.33405 | − | 13.8931i | −0.213642 | − | 0.468602i | ||||
\(880\) | 49.3357 | − | 85.4519i | 1.66310 | − | 2.88058i | ||||
\(881\) | 18.6503 | − | 32.3033i | 0.628345 | − | 1.08833i | −0.359538 | − | 0.933130i | \(-0.617066\pi\) |
0.987884 | − | 0.155196i | \(-0.0496009\pi\) | |||||||
\(882\) | −5.60414 | + | 39.0857i | −0.188701 | + | 1.31608i | ||||
\(883\) | − | 11.6828i | − | 0.393156i | −0.980488 | − | 0.196578i | \(-0.937017\pi\) | ||
0.980488 | − | 0.196578i | \(-0.0629829\pi\) | |||||||
\(884\) | −0.971828 | − | 3.20275i | −0.0326861 | − | 0.107720i | ||||
\(885\) | 62.6720 | + | 23.4210i | 2.10669 | + | 0.787288i | ||||
\(886\) | 1.00235 | − | 3.74081i | 0.0336745 | − | 0.125675i | ||||
\(887\) | − | 2.60291i | − | 0.0873973i | −0.999045 | − | 0.0436986i | \(-0.986086\pi\) | ||
0.999045 | − | 0.0436986i | \(-0.0139141\pi\) | |||||||
\(888\) | −8.44377 | + | 6.96271i | −0.283354 | + | 0.233653i | ||||
\(889\) | 8.01093 | − | 6.46662i | 0.268678 | − | 0.216884i | ||||
\(890\) | 91.9497 | + | 24.6379i | 3.08216 | + | 0.825863i | ||||
\(891\) | 30.4995 | − | 40.5266i | 1.02177 | − | 1.35769i | ||||
\(892\) | −2.60243 | − | 9.71240i | −0.0871358 | − | 0.325195i | ||||
\(893\) | − | 5.77627i | − | 0.193295i | ||||||
\(894\) | −57.2172 | + | 9.58401i | −1.91363 | + | 0.320537i | ||||
\(895\) | 1.26406 | + | 4.71753i | 0.0422528 | + | 0.157690i | ||||
\(896\) | 16.4481 | − | 7.29268i | 0.549492 | − | 0.243631i | ||||
\(897\) | 9.44796 | − | 14.2142i | 0.315458 | − | 0.474597i | ||||
\(898\) | 2.65658 | + | 4.60133i | 0.0886512 | + | 0.153548i | ||||
\(899\) | −0.257890 | − | 0.0691015i | −0.00860112 | − | 0.00230466i | ||||
\(900\) | −30.5934 | − | 26.5778i | −1.01978 | − | 0.885926i | ||||
\(901\) | −0.806637 | − | 0.465712i | −0.0268730 | − | 0.0155151i | ||||
\(902\) | −48.8715 | + | 48.8715i | −1.62724 | + | 1.62724i | ||||
\(903\) | 17.5345 | + | 15.5568i | 0.583513 | + | 0.517698i | ||||
\(904\) | 15.4579 | + | 4.14192i | 0.514121 | + | 0.137758i | ||||
\(905\) | −1.08074 | + | 4.03336i | −0.0359249 | + | 0.134073i | ||||
\(906\) | −31.3652 | + | 5.25374i | −1.04204 | + | 0.174544i | ||||
\(907\) | −5.70874 | + | 3.29595i | −0.189556 | + | 0.109440i | −0.591775 | − | 0.806103i | \(-0.701572\pi\) |
0.402219 | + | 0.915544i | \(0.368239\pi\) | |||||||
\(908\) | −16.2399 | − | 16.2399i | −0.538940 | − | 0.538940i | ||||
\(909\) | −12.8988 | + | 4.44589i | −0.427826 | + | 0.147461i | ||||
\(910\) | 28.9887 | + | 59.9901i | 0.960967 | + | 1.98865i | ||||
\(911\) | − | 49.2977i | − | 1.63331i | −0.577129 | − | 0.816653i | \(-0.695827\pi\) | ||
0.577129 | − | 0.816653i | \(-0.304173\pi\) | |||||||
\(912\) | −12.8292 | + | 17.9918i | −0.424818 | + | 0.595769i | ||||
\(913\) | −22.1099 | − | 38.2954i | −0.731730 | − | 1.26739i | ||||
\(914\) | −12.1932 | −0.403314 | ||||||||
\(915\) | 0.671766 | − | 6.98793i | 0.0222079 | − | 0.231014i | ||||
\(916\) | 1.09945 | − | 4.10321i | 0.0363269 | − | 0.135574i | ||||
\(917\) | −0.484012 | − | 3.08683i | −0.0159835 | − | 0.101936i | ||||
\(918\) | −5.66449 | − | 1.67503i | −0.186956 | − | 0.0552842i | ||||
\(919\) | −12.3534 | + | 21.3967i | −0.407500 | + | 0.705811i | −0.994609 | − | 0.103697i | \(-0.966933\pi\) |
0.587109 | + | 0.809508i | \(0.300266\pi\) | |||||||
\(920\) | −4.43459 | − | 7.68093i | −0.146204 | − | 0.253233i | ||||
\(921\) | −2.90452 | + | 30.2138i | −0.0957073 | + | 0.995579i | ||||
\(922\) | −44.9173 | + | 25.9330i | −1.47927 | + | 0.854058i | ||||
\(923\) | 8.27420 | − | 0.271542i | 0.272349 | − | 0.00893791i | ||||
\(924\) | −2.36561 | − | 39.5816i | −0.0778230 | − | 1.30214i | ||||
\(925\) | −61.4665 | + | 16.4699i | −2.02101 | + | 0.541527i | ||||
\(926\) | − | 18.5426i | − | 0.609347i | ||||||
\(927\) | 6.73344 | + | 19.5356i | 0.221155 | + | 0.641634i | ||||
\(928\) | −0.372694 | + | 0.0998631i | −0.0122343 | + | 0.00327817i | ||||
\(929\) | −0.0730394 | − | 0.272587i | −0.00239635 | − | 0.00894329i | 0.964717 | − | 0.263288i | \(-0.0848069\pi\) |
−0.967114 | + | 0.254345i | \(0.918140\pi\) | |||||||
\(930\) | −5.69936 | + | 59.2866i | −0.186889 | + | 1.94408i | ||||
\(931\) | 16.8554 | + | 8.65406i | 0.552413 | + | 0.283625i | ||||
\(932\) | 1.64286 | − | 0.948504i | 0.0538136 | − | 0.0310693i | ||||
\(933\) | −7.26427 | − | 43.3682i | −0.237822 | − | 1.41981i | ||||
\(934\) | 61.8881 | + | 16.5829i | 2.02504 | + | 0.542608i | ||||
\(935\) | 6.32839 | − | 10.9611i | 0.206961 | − | 0.358466i | ||||
\(936\) | 5.96007 | − | 7.33319i | 0.194811 | − | 0.239693i | ||||
\(937\) | −30.9940 | −1.01253 | −0.506265 | − | 0.862378i | \(-0.668974\pi\) | ||||
−0.506265 | + | 0.862378i | \(0.668974\pi\) | |||||||
\(938\) | 24.2107 | − | 3.79620i | 0.790506 | − | 0.123950i | ||||
\(939\) | 30.5332 | + | 11.4105i | 0.996414 | + | 0.372368i | ||||
\(940\) | −10.5403 | − | 6.08547i | −0.343788 | − | 0.198486i | ||||
\(941\) | −4.19614 | − | 15.6602i | −0.136790 | − | 0.510509i | −0.999984 | − | 0.00563580i | \(-0.998206\pi\) |
0.863194 | − | 0.504873i | \(-0.168461\pi\) | |||||||
\(942\) | −48.2295 | − | 34.3905i | −1.57140 | − | 1.12050i | ||||
\(943\) | 4.61367 | + | 17.2184i | 0.150242 | + | 0.560710i | ||||
\(944\) | −34.6581 | − | 34.6581i | −1.12803 | − | 1.12803i | ||||
\(945\) | 50.6232 | + | 6.72037i | 1.64677 | + | 0.218614i | ||||
\(946\) | −46.9415 | − | 27.1017i | −1.52620 | − | 0.881153i | ||||
\(947\) | 4.67015 | + | 4.67015i | 0.151759 | + | 0.151759i | 0.778903 | − | 0.627144i | \(-0.215776\pi\) |
−0.627144 | + | 0.778903i | \(0.715776\pi\) | |||||||
\(948\) | 2.92233 | − | 7.81983i | 0.0949129 | − | 0.253976i | ||||
\(949\) | 7.57727 | + | 12.1830i | 0.245969 | + | 0.395478i | ||||
\(950\) | −38.7787 | + | 22.3889i | −1.25815 | + | 0.726391i | ||||
\(951\) | −19.6316 | + | 8.95032i | −0.636599 | + | 0.290234i | ||||
\(952\) | 1.27753 | − | 0.566426i | 0.0414050 | − | 0.0183580i | ||||
\(953\) | 25.2718 | + | 43.7720i | 0.818632 | + | 1.41791i | 0.906690 | + | 0.421798i | \(0.138601\pi\) |
−0.0880577 | + | 0.996115i | \(0.528066\pi\) | |||||||
\(954\) | 0.608878 | + | 8.66866i | 0.0197132 | + | 0.280658i | ||||
\(955\) | −47.4881 | − | 47.4881i | −1.53668 | − | 1.53668i | ||||
\(956\) | −25.0468 | − | 25.0468i | −0.810072 | − | 0.810072i | ||||
\(957\) | 0.0506530 | − | 0.526910i | 0.00163738 | − | 0.0170326i | ||||
\(958\) | 19.4883 | + | 33.7548i | 0.629640 | + | 1.09057i | ||||
\(959\) | −12.4750 | + | 5.53109i | −0.402837 | + | 0.178608i | ||||
\(960\) | 10.5464 | + | 23.1325i | 0.340385 | + | 0.746600i | ||||
\(961\) | −5.85457 | + | 3.38014i | −0.188857 | + | 0.109037i | ||||
\(962\) | 14.2372 | + | 46.9202i | 0.459027 | + | 1.51277i | ||||
\(963\) | −22.1417 | − | 4.29677i | −0.713506 | − | 0.138461i | ||||
\(964\) | 16.2257 | + | 16.2257i | 0.522594 | + | 0.522594i | ||||
\(965\) | 71.3395 | + | 41.1879i | 2.29650 | + | 1.32589i | ||||
\(966\) | −21.0600 | − | 10.5368i | −0.677595 | − | 0.339015i | ||||
\(967\) | 4.50569 | + | 4.50569i | 0.144893 | + | 0.144893i | 0.775832 | − | 0.630939i | \(-0.217330\pi\) |
−0.630939 | + | 0.775832i | \(0.717330\pi\) | |||||||
\(968\) | −4.69427 | − | 17.5193i | −0.150880 | − | 0.563091i | ||||
\(969\) | −1.64563 | + | 2.30785i | −0.0528653 | + | 0.0741388i | ||||
\(970\) | −16.0607 | − | 59.9394i | −0.515678 | − | 1.92454i | ||||
\(971\) | −25.7589 | − | 14.8719i | −0.826643 | − | 0.477262i | 0.0260592 | − | 0.999660i | \(-0.491704\pi\) |
−0.852702 | + | 0.522398i | \(0.825038\pi\) | |||||||
\(972\) | 7.21481 | + | 22.8207i | 0.231415 | + | 0.731973i | ||||
\(973\) | −26.0317 | + | 4.08174i | −0.834539 | + | 0.130855i | ||||
\(974\) | −16.2413 | −0.520404 | ||||||||
\(975\) | 49.2200 | − | 24.4208i | 1.57630 | − | 0.782090i | ||||
\(976\) | −2.57144 | + | 4.45386i | −0.0823097 | + | 0.142565i | ||||
\(977\) | 53.6025 | + | 14.3627i | 1.71489 | + | 0.459505i | 0.976616 | − | 0.214991i | \(-0.0689723\pi\) |
0.738279 | + | 0.674496i | \(0.235639\pi\) | |||||||
\(978\) | 53.2533 | − | 8.92006i | 1.70285 | − | 0.285232i | ||||
\(979\) | 66.5202 | − | 38.4054i | 2.12599 | − | 1.22744i | ||||
\(980\) | 33.5493 | − | 21.6399i | 1.07169 | − | 0.691260i | ||||
\(981\) | −1.69596 | − | 24.1455i | −0.0541477 | − | 0.770906i | ||||
\(982\) | 17.7348 | + | 66.1870i | 0.565939 | + | 2.11211i | ||||
\(983\) | 52.2329 | − | 13.9958i | 1.66597 | − | 0.446396i | 0.701952 | − | 0.712225i | \(-0.252312\pi\) |
0.964020 | + | 0.265829i | \(0.0856456\pi\) | |||||||
\(984\) | 1.63045 | + | 9.73392i | 0.0519770 | + | 0.310306i | ||||
\(985\) | − | 0.854814i | − | 0.0272366i | ||||||
\(986\) | −0.0595461 | + | 0.0159553i | −0.00189634 | + | 0.000508122i | ||||
\(987\) | 9.76192 | − | 0.583427i | 0.310725 | − | 0.0185707i | ||||
\(988\) | 7.91366 | + | 12.7239i | 0.251767 | + | 0.404801i | ||||
\(989\) | −12.1070 | + | 6.98999i | −0.384981 | + | 0.222269i | ||||
\(990\) | −117.795 | + | 8.27382i | −3.74378 | + | 0.262959i | ||||
\(991\) | −7.95354 | − | 13.7759i | −0.252653 | − | 0.437607i | 0.711603 | − | 0.702582i | \(-0.247970\pi\) |
−0.964255 | + | 0.264975i | \(0.914636\pi\) | |||||||
\(992\) | 17.5152 | − | 30.3372i | 0.556108 | − | 0.963208i | ||||
\(993\) | 31.3246 | − | 43.9299i | 0.994055 | − | 1.39407i | ||||
\(994\) | −1.76939 | − | 11.2844i | −0.0561215 | − | 0.357921i | ||||
\(995\) | 19.4829 | − | 72.7112i | 0.617650 | − | 2.30510i | ||||
\(996\) | 20.7704 | + | 1.99671i | 0.658136 | + | 0.0632681i | ||||
\(997\) | 35.4718 | 1.12340 | 0.561702 | − | 0.827339i | \(-0.310147\pi\) | ||||
0.561702 | + | 0.827339i | \(0.310147\pi\) | |||||||
\(998\) | 33.8162 | + | 58.5714i | 1.07043 | + | 1.85405i | ||||
\(999\) | 36.0392 | + | 10.6570i | 1.14023 | + | 0.337174i |
(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 | 273.2.bv.b.137.26 | yes | 128 | |
3.2 | odd | 2 | inner | 273.2.bv.b.137.7 | yes | 128 | |
7.2 | even | 3 | 273.2.bw.b.254.7 | yes | 128 | ||
13.2 | odd | 12 | 273.2.bw.b.158.26 | yes | 128 | ||
21.2 | odd | 6 | 273.2.bw.b.254.26 | yes | 128 | ||
39.2 | even | 12 | 273.2.bw.b.158.7 | yes | 128 | ||
91.2 | odd | 12 | inner | 273.2.bv.b.2.7 | ✓ | 128 | |
273.2 | even | 12 | inner | 273.2.bv.b.2.26 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bv.b.2.7 | ✓ | 128 | 91.2 | odd | 12 | inner | |
273.2.bv.b.2.26 | yes | 128 | 273.2 | even | 12 | inner | |
273.2.bv.b.137.7 | yes | 128 | 3.2 | odd | 2 | inner | |
273.2.bv.b.137.26 | yes | 128 | 1.1 | even | 1 | trivial | |
273.2.bw.b.158.7 | yes | 128 | 39.2 | even | 12 | ||
273.2.bw.b.158.26 | yes | 128 | 13.2 | odd | 12 | ||
273.2.bw.b.254.7 | yes | 128 | 7.2 | even | 3 | ||
273.2.bw.b.254.26 | yes | 128 | 21.2 | odd | 6 |