Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(17,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bo (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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 33.2 | ||
Character | \(\chi\) | \(=\) | 280.33 |
Dual form | 280.2.bo.a.17.2 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −2.30560 | − | 0.617784i | −1.33114 | − | 0.356678i | −0.478000 | − | 0.878360i | \(-0.658638\pi\) |
−0.853140 | + | 0.521682i | \(0.825305\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.37859 | + | 1.76054i | 0.616525 | + | 0.787336i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.755351 | − | 2.53563i | −0.285496 | − | 0.958380i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.33607 | + | 1.34873i | 0.778688 | + | 0.449576i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.18726 | + | 3.78844i | 0.659483 | + | 1.14226i | 0.980750 | + | 0.195270i | \(0.0625583\pi\) |
−0.321266 | + | 0.946989i | \(0.604108\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.36695 | − | 4.36695i | 1.21117 | − | 1.21117i | 0.240533 | − | 0.970641i | \(-0.422678\pi\) |
0.970641 | − | 0.240533i | \(-0.0773224\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.09085 | − | 4.91077i | −0.539855 | − | 1.26795i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.438132 | − | 1.63513i | 0.106263 | − | 0.396577i | −0.892223 | − | 0.451595i | \(-0.850855\pi\) |
0.998485 | + | 0.0550183i | \(0.0175217\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.56560 | − | 6.17580i | 0.818004 | − | 1.41682i | −0.0891466 | − | 0.996019i | \(-0.528414\pi\) |
0.907151 | − | 0.420806i | \(-0.138253\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.175064 | + | 6.31281i | 0.0382021 | + | 1.37757i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.91851 | − | 1.31791i | 1.02558 | − | 0.274803i | 0.293454 | − | 0.955973i | \(-0.405195\pi\) |
0.732125 | + | 0.681170i | \(0.238529\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.19897 | + | 4.85412i | −0.239795 | + | 0.970824i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.510640 | + | 0.510640i | 0.0982727 | + | 0.0982727i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.33053i | 0.247074i | 0.992340 | + | 0.123537i | \(0.0394237\pi\) | ||||
−0.992340 | + | 0.123537i | \(0.960576\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.90109 | + | 1.09759i | −0.341446 | + | 0.197134i | −0.660911 | − | 0.750464i | \(-0.729830\pi\) |
0.319465 | + | 0.947598i | \(0.396497\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.70251 | − | 10.0859i | −0.470446 | − | 1.75573i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.42276 | − | 4.82543i | 0.578551 | − | 0.815646i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.224926 | − | 0.839435i | −0.0369776 | − | 0.138002i | 0.944969 | − | 0.327159i | \(-0.106091\pi\) |
−0.981947 | + | 0.189157i | \(0.939425\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −12.7663 | + | 7.37062i | −2.04424 | + | 1.18024i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 5.69781i | − | 0.889849i | −0.895568 | − | 0.444924i | \(-0.853231\pi\) | ||
0.895568 | − | 0.444924i | \(-0.146769\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.40535 | + | 3.40535i | 0.519312 | + | 0.519312i | 0.917363 | − | 0.398051i | \(-0.130313\pi\) |
−0.398051 | + | 0.917363i | \(0.630313\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.845995 | + | 5.97207i | 0.126113 | + | 0.890264i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −9.84549 | + | 2.63809i | −1.43611 | + | 0.384805i | −0.891170 | − | 0.453669i | \(-0.850115\pi\) |
−0.544942 | + | 0.838474i | \(0.683448\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.85889 | + | 3.83059i | −0.836984 | + | 0.547227i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.02031 | + | 3.49929i | −0.282901 | + | 0.489998i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.541299 | + | 2.02016i | −0.0743531 | + | 0.277490i | −0.993086 | − | 0.117390i | \(-0.962547\pi\) |
0.918733 | + | 0.394880i | \(0.129214\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.65436 | + | 9.07346i | −0.492753 | + | 1.22347i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −12.0362 | + | 12.0362i | −1.59423 | + | 1.59423i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.56679 | + | 4.44580i | 0.334167 | + | 0.578794i | 0.983324 | − | 0.181860i | \(-0.0582117\pi\) |
−0.649157 | + | 0.760654i | \(0.724878\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.21535 | + | 3.58843i | 0.795794 | + | 0.459452i | 0.841998 | − | 0.539480i | \(-0.181379\pi\) |
−0.0462043 | + | 0.998932i | \(0.514713\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.65533 | − | 6.94217i | 0.208552 | − | 0.874631i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 13.7084 | + | 1.66793i | 1.70032 | + | 0.206882i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.11586 | − | 1.90669i | −0.869341 | − | 0.232939i | −0.203538 | − | 0.979067i | \(-0.565244\pi\) |
−0.665803 | + | 0.746128i | \(0.731911\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −12.1543 | −1.46321 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.31969 | 0.512653 | 0.256326 | − | 0.966590i | \(-0.417488\pi\) | ||||
0.256326 | + | 0.966590i | \(0.417488\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −14.2630 | − | 3.82176i | −1.66936 | − | 0.447303i | −0.704420 | − | 0.709784i | \(-0.748793\pi\) |
−0.964937 | + | 0.262481i | \(0.915459\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 5.76315 | − | 10.4510i | 0.665471 | − | 1.20677i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 7.95396 | − | 8.40770i | 0.906438 | − | 0.958146i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.82649 | + | 2.78658i | 0.543023 | + | 0.313514i | 0.746303 | − | 0.665606i | \(-0.231827\pi\) |
−0.203280 | + | 0.979121i | \(0.565160\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −4.90805 | − | 8.50099i | −0.545339 | − | 0.944555i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.272283 | + | 0.272283i | −0.0298869 | + | 0.0298869i | −0.721892 | − | 0.692005i | \(-0.756727\pi\) |
0.692005 | + | 0.721892i | \(0.256727\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.48271 | − | 1.48283i | 0.377753 | − | 0.160835i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.821982 | − | 3.06768i | 0.0881257 | − | 0.328890i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.79506 | − | 3.10913i | 0.190276 | − | 0.329567i | −0.755066 | − | 0.655649i | \(-0.772395\pi\) |
0.945342 | + | 0.326082i | \(0.105729\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −14.3716 | − | 7.77441i | −1.50655 | − | 0.814980i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 5.06123 | − | 1.35615i | 0.524825 | − | 0.140627i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 15.7882 | − | 2.23653i | 1.61984 | − | 0.229464i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.325781 | + | 0.325781i | 0.0330781 | + | 0.0330781i | 0.723452 | − | 0.690374i | \(-0.242554\pi\) |
−0.690374 | + | 0.723452i | \(0.742554\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 11.8001i | 1.18595i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 10.6907 | − | 6.17228i | 1.06376 | − | 0.614165i | 0.137294 | − | 0.990530i | \(-0.456160\pi\) |
0.926471 | + | 0.376365i | \(0.122826\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.41652 | − | 5.28651i | −0.139573 | − | 0.520895i | −0.999937 | − | 0.0112145i | \(-0.996430\pi\) |
0.860364 | − | 0.509681i | \(-0.170236\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −10.8726 | + | 9.01099i | −1.06106 | + | 0.879382i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.926726 | + | 3.45859i | 0.0895900 | + | 0.334354i | 0.996144 | − | 0.0877359i | \(-0.0279632\pi\) |
−0.906554 | + | 0.422090i | \(0.861297\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.80975 | − | 3.35426i | 0.556473 | − | 0.321280i | −0.195255 | − | 0.980752i | \(-0.562554\pi\) |
0.751729 | + | 0.659472i | \(0.229220\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.07436i | 0.196889i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 5.75259 | + | 5.75259i | 0.541158 | + | 0.541158i | 0.923869 | − | 0.382710i | \(-0.125009\pi\) |
−0.382710 | + | 0.923869i | \(0.625009\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.10083 | + | 6.84235i | 0.848657 | + | 0.638052i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 16.0913 | − | 4.31165i | 1.48764 | − | 0.398613i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −4.47703 | + | 0.124155i | −0.410409 | + | 0.0113813i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.06820 | + | 7.04634i | −0.369837 | + | 0.640576i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −3.52002 | + | 13.1369i | −0.317389 | + | 1.18451i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −10.1987 | + | 4.58101i | −0.912203 | + | 0.409738i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.47621 | − | 3.47621i | 0.308464 | − | 0.308464i | −0.535849 | − | 0.844314i | \(-0.680009\pi\) |
0.844314 | + | 0.535849i | \(0.180009\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −5.74762 | − | 9.95516i | −0.506049 | − | 0.876503i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.72880 | − | 2.73018i | −0.413157 | − | 0.238537i | 0.278988 | − | 0.960295i | \(-0.410001\pi\) |
−0.692145 | + | 0.721758i | \(0.743334\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −18.3528 | − | 4.37616i | −1.59139 | − | 0.379461i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.195036 | + | 1.60296i | −0.0167860 | + | 0.137961i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −16.6760 | − | 4.46833i | −1.42473 | − | 0.381756i | −0.537571 | − | 0.843218i | \(-0.680658\pi\) |
−0.887160 | + | 0.461463i | \(0.847325\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.33475 | −0.367669 | −0.183834 | − | 0.982957i | \(-0.558851\pi\) | ||||
−0.183834 | + | 0.982957i | \(0.558851\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 24.3295 | 2.04892 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 26.0956 | + | 6.99230i | 2.18222 | + | 0.584725i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.34245 | + | 1.83426i | −0.194530 | + | 0.152327i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 15.8747 | − | 5.21229i | 1.30933 | − | 0.429902i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.22537 | − | 1.28482i | −0.182309 | − | 0.105256i | 0.406068 | − | 0.913843i | \(-0.366900\pi\) |
−0.588377 | + | 0.808587i | \(0.700233\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.516263 | − | 0.894194i | −0.0420129 | − | 0.0727685i | 0.844254 | − | 0.535943i | \(-0.180044\pi\) |
−0.886267 | + | 0.463174i | \(0.846710\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.22885 | − | 3.22885i | 0.261037 | − | 0.261037i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.55318 | − | 1.83380i | −0.365720 | − | 0.147295i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.71159 | + | 17.5839i | −0.376026 | + | 1.40335i | 0.475815 | + | 0.879545i | \(0.342153\pi\) |
−0.851841 | + | 0.523801i | \(0.824513\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 2.49604 | − | 4.32327i | 0.197949 | − | 0.342857i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −7.05694 | − | 11.4760i | −0.556164 | − | 0.904439i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.44026 | + | 2.26156i | −0.661092 | + | 0.177139i | −0.573739 | − | 0.819038i | \(-0.694508\pi\) |
−0.0873531 | + | 0.996177i | \(0.527841\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 14.0309 | − | 18.6622i | 1.09231 | − | 1.45285i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 12.3783 | + | 12.3783i | 0.957862 | + | 0.957862i | 0.999147 | − | 0.0412856i | \(-0.0131454\pi\) |
−0.0412856 | + | 0.999147i | \(0.513145\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 25.1405i | − | 1.93389i | ||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 16.6589 | − | 9.61804i | 1.27394 | − | 0.735510i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.746705 | − | 2.78674i | −0.0567709 | − | 0.211872i | 0.931714 | − | 0.363194i | \(-0.118314\pi\) |
−0.988485 | + | 0.151322i | \(0.951647\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 13.2139 | − | 0.626405i | 0.998878 | − | 0.0473518i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −3.17144 | − | 11.8360i | −0.238380 | − | 0.889646i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −6.47526 | + | 3.73849i | −0.483984 | + | 0.279428i | −0.722075 | − | 0.691815i | \(-0.756812\pi\) |
0.238092 | + | 0.971243i | \(0.423478\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 21.7307i | 1.61523i | 0.589708 | + | 0.807617i | \(0.299243\pi\) | ||||
−0.589708 | + | 0.807617i | \(0.700757\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −12.1132 | − | 12.1132i | −0.895437 | − | 0.895437i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.16777 | − | 1.55323i | 0.0858565 | − | 0.114196i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 7.15290 | − | 1.91661i | 0.523072 | − | 0.140157i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.909084 | − | 1.68051i | 0.0661261 | − | 0.122239i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.73369 | + | 9.93104i | −0.414875 | + | 0.718585i | −0.995415 | − | 0.0956469i | \(-0.969508\pi\) |
0.580540 | + | 0.814232i | \(0.302841\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.43727 | + | 5.36396i | −0.103457 | + | 0.386106i | −0.998166 | − | 0.0605441i | \(-0.980716\pi\) |
0.894709 | + | 0.446650i | \(0.147383\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −30.5757 | − | 12.3144i | −2.18957 | − | 0.881855i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −12.5995 | + | 12.5995i | −0.897678 | + | 0.897678i | −0.995230 | − | 0.0975523i | \(-0.968899\pi\) |
0.0975523 | + | 0.995230i | \(0.468899\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.02418 | + | 3.50598i | 0.143490 | + | 0.248532i | 0.928809 | − | 0.370560i | \(-0.120834\pi\) |
−0.785318 | + | 0.619092i | \(0.787501\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 15.2284 | + | 8.79213i | 1.07413 | + | 0.620149i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 3.37375 | − | 1.00502i | 0.236790 | − | 0.0705385i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.0312 | − | 7.85495i | 0.700610 | − | 0.548614i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 13.2674 | + | 3.55500i | 0.922151 | + | 0.247090i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 31.1955 | 2.15784 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −21.3214 | −1.46783 | −0.733913 | − | 0.679244i | \(-0.762308\pi\) | ||||
−0.733913 | + | 0.679244i | \(0.762308\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −9.95948 | − | 2.66863i | −0.682412 | − | 0.182852i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.30066 | + | 10.6898i | −0.0887041 | + | 0.729041i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.21909 | + | 3.99140i | 0.286410 | + | 0.270954i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 30.5238 | + | 17.6229i | 2.06260 | + | 1.19084i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −5.22723 | − | 9.05383i | −0.351622 | − | 0.609026i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 19.7653 | − | 19.7653i | 1.32358 | − | 1.32358i | 0.412730 | − | 0.910854i | \(-0.364575\pi\) |
0.910854 | − | 0.412730i | \(-0.135425\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −9.34776 | + | 9.72245i | −0.623184 | + | 0.648163i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.760893 | − | 2.83969i | 0.0505022 | − | 0.188477i | −0.936067 | − | 0.351823i | \(-0.885562\pi\) |
0.986569 | + | 0.163346i | \(0.0522287\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.0300 | + | 20.8366i | −0.794965 | + | 1.37692i | 0.127896 | + | 0.991788i | \(0.459178\pi\) |
−0.922861 | + | 0.385133i | \(0.874156\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −23.5328 | + | 14.4710i | −1.54834 | + | 0.952120i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.37700 | − | 0.636915i | 0.155722 | − | 0.0417257i | −0.180116 | − | 0.983645i | \(-0.557647\pi\) |
0.335838 | + | 0.941920i | \(0.390981\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −18.2174 | − | 13.6965i | −1.18837 | − | 0.893460i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −9.40647 | − | 9.40647i | −0.611016 | − | 0.611016i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 15.4754i | − | 1.00102i | −0.865730 | − | 0.500511i | \(-0.833145\pi\) | ||
0.865730 | − | 0.500511i | \(-0.166855\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −13.8765 | + | 8.01160i | −0.893864 | + | 0.516073i | −0.875204 | − | 0.483753i | \(-0.839273\pi\) |
−0.0186595 | + | 0.999826i | \(0.505940\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 5.50351 | + | 20.5394i | 0.353050 | + | 1.31760i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −14.8209 | − | 5.03397i | −0.946873 | − | 0.321608i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −11.3986 | − | 42.5402i | −0.725276 | − | 2.70677i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.795987 | − | 0.459563i | 0.0504436 | − | 0.0291237i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.592810i | 0.0374178i | 0.999825 | + | 0.0187089i | \(0.00595558\pi\) | ||||
−0.999825 | + | 0.0187089i | \(0.994044\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 15.7509 | + | 15.7509i | 0.990249 | + | 0.990249i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −8.94581 | + | 1.26725i | −0.560208 | + | 0.0793582i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −18.7358 | + | 5.02024i | −1.16871 | + | 0.313154i | −0.790438 | − | 0.612542i | \(-0.790147\pi\) |
−0.378269 | + | 0.925696i | \(0.623480\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.95860 | + | 1.20440i | −0.121702 | + | 0.0748377i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.79453 | + | 3.10821i | −0.111078 | + | 0.192393i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −6.58626 | + | 24.5803i | −0.406126 | + | 1.51568i | 0.395843 | + | 0.918318i | \(0.370453\pi\) |
−0.801969 | + | 0.597366i | \(0.796214\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.30279 | + | 1.83199i | −0.264318 | + | 0.112538i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −6.05945 | + | 6.05945i | −0.370833 | + | 0.370833i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −6.17421 | − | 10.6940i | −0.376448 | − | 0.652027i | 0.614095 | − | 0.789232i | \(-0.289521\pi\) |
−0.990543 | + | 0.137205i | \(0.956188\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.0880 | − | 5.82432i | −0.612803 | − | 0.353802i | 0.161259 | − | 0.986912i | \(-0.448445\pi\) |
−0.774062 | + | 0.633110i | \(0.781778\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 28.3322 | + | 26.8032i | 1.71474 | + | 1.62221i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −21.0120 | + | 6.07497i | −1.26707 | + | 0.366334i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 18.2575 | + | 4.89207i | 1.09698 | + | 0.293936i | 0.761536 | − | 0.648123i | \(-0.224446\pi\) |
0.335448 | + | 0.942059i | \(0.391112\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −5.92143 | −0.354506 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 21.9795 | 1.31119 | 0.655594 | − | 0.755114i | \(-0.272418\pi\) | ||||
0.655594 | + | 0.755114i | \(0.272418\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −23.1631 | − | 6.20653i | −1.37690 | − | 0.368940i | −0.506907 | − | 0.862001i | \(-0.669211\pi\) |
−0.869995 | + | 0.493061i | \(0.835878\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −37.7830 | − | 4.59715i | −2.23807 | − | 0.272312i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −14.4476 | + | 4.30385i | −0.852813 | + | 0.254048i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 12.2407 | + | 7.06720i | 0.720044 | + | 0.415717i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.549859 | − | 0.952384i | −0.0322333 | − | 0.0558298i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0.297685 | − | 0.297685i | 0.0173909 | − | 0.0173909i | −0.698358 | − | 0.715749i | \(-0.746086\pi\) |
0.715749 | + | 0.698358i | \(0.246086\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.28845 | + | 10.6479i | −0.249683 | + | 0.619943i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.817629 | + | 3.05143i | −0.0474436 | + | 0.177062i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 15.7236 | − | 27.2341i | 0.909321 | − | 1.57499i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.06250 | − | 11.2070i | 0.349436 | − | 0.645959i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −28.4616 | + | 7.62627i | −1.63508 | + | 0.438118i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 2.25086 | + | 15.8893i | 0.128884 | + | 0.909820i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.95890 | + | 5.95890i | 0.340093 | + | 0.340093i | 0.856402 | − | 0.516309i | \(-0.172695\pi\) |
−0.516309 | + | 0.856402i | \(0.672695\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 13.0637i | 0.743167i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.70989 | − | 5.60601i | 0.550598 | − | 0.317888i | −0.198765 | − | 0.980047i | \(-0.563693\pi\) |
0.749363 | + | 0.662159i | \(0.230360\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.0792166 | − | 0.295640i | −0.00447759 | − | 0.0167106i | 0.963651 | − | 0.267165i | \(-0.0860868\pi\) |
−0.968128 | + | 0.250454i | \(0.919420\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 14.5040 | − | 6.65614i | 0.817206 | − | 0.375031i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 5.75358 | + | 21.4727i | 0.323153 | + | 1.20603i | 0.916155 | + | 0.400824i | \(0.131276\pi\) |
−0.593002 | + | 0.805201i | \(0.702057\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.04065 | + | 2.91022i | −0.282222 | + | 0.162941i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 8.54664i | − | 0.477027i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −8.53602 | − | 8.53602i | −0.474957 | − | 0.474957i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 15.9618 | + | 26.4336i | 0.885403 | + | 1.46627i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −15.4672 | + | 4.14442i | −0.855337 | + | 0.229187i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 14.1260 | + | 22.9719i | 0.778794 | + | 1.26648i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.04614 | − | 12.2043i | 0.387291 | − | 0.670808i | −0.604793 | − | 0.796383i | \(-0.706744\pi\) |
0.992084 | + | 0.125575i | \(0.0400775\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.606728 | − | 2.26434i | 0.0332485 | − | 0.124085i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −6.45307 | − | 15.1563i | −0.352569 | − | 0.828076i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 19.3301 | − | 19.3301i | 1.05298 | − | 1.05298i | 0.0544630 | − | 0.998516i | \(-0.482655\pi\) |
0.998516 | − | 0.0544630i | \(-0.0173447\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −9.70933 | − | 16.8170i | −0.527338 | − | 0.913377i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −8.31635 | − | 4.80145i | −0.450356 | − | 0.260013i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 14.1385 | + | 11.9626i | 0.763407 | + | 0.645918i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −16.7558 | − | 21.3981i | −0.902102 | − | 1.15203i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 31.4736 | + | 8.43333i | 1.68959 | + | 0.452725i | 0.970285 | − | 0.241966i | \(-0.0777922\pi\) |
0.719308 | + | 0.694691i | \(0.244459\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.5313 | 0.991957 | 0.495978 | − | 0.868335i | \(-0.334810\pi\) | ||||
0.495978 | + | 0.868335i | \(0.334810\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.45988 | 0.238051 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −26.0688 | − | 6.98512i | −1.38750 | − | 0.371780i | −0.513662 | − | 0.857992i | \(-0.671712\pi\) |
−0.873841 | + | 0.486212i | \(0.838378\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.95508 | + | 7.60496i | 0.316063 | + | 0.403630i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 10.3990 | + | 2.47959i | 0.550371 | + | 0.131234i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −21.1575 | − | 12.2153i | −1.11665 | − | 0.644698i | −0.176106 | − | 0.984371i | \(-0.556350\pi\) |
−0.940543 | + | 0.339673i | \(0.889683\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.9270 | − | 27.5863i | −0.838261 | − | 1.45191i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 13.7328 | − | 13.7328i | 0.720784 | − | 0.720784i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −12.9345 | − | 30.3791i | −0.677022 | − | 1.59012i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.168542 | + | 0.629007i | −0.00879781 | + | 0.0328339i | −0.970185 | − | 0.242365i | \(-0.922077\pi\) |
0.961387 | + | 0.275199i | \(0.0887436\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 7.68480 | − | 13.3105i | 0.400055 | − | 0.692915i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 5.53125 | − | 0.153390i | 0.287168 | − | 0.00796362i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.0933104 | − | 0.0250025i | 0.00483143 | − | 0.00129458i | −0.256403 | − | 0.966570i | \(-0.582537\pi\) |
0.261234 | + | 0.965276i | \(0.415871\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 26.3443 | − | 4.26136i | 1.36041 | − | 0.220056i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 5.81037 | + | 5.81037i | 0.299249 | + | 0.299249i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 10.4991i | − | 0.539303i | −0.962958 | − | 0.269651i | \(-0.913092\pi\) | ||
0.962958 | − | 0.269651i | \(-0.0869085\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −10.1623 | + | 5.86721i | −0.520631 | + | 0.300586i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 2.86065 | + | 10.6761i | 0.146172 | + | 0.545522i | 0.999700 | + | 0.0244754i | \(0.00779155\pi\) |
−0.853528 | + | 0.521047i | \(0.825542\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 25.7673 | + | 2.41246i | 1.31322 | + | 0.122950i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 3.36223 | + | 12.5480i | 0.170912 | + | 0.637852i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 6.30536 | − | 3.64040i | 0.319695 | − | 0.184576i | −0.331562 | − | 0.943433i | \(-0.607576\pi\) |
0.651256 | + | 0.758858i | \(0.274242\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 8.61981i | − | 0.435923i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 9.21608 | + | 9.21608i | 0.464890 | + | 0.464890i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.74789 | + | 12.3388i | 0.0879459 | + | 0.620831i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 23.7390 | − | 6.36084i | 1.19142 | − | 0.319241i | 0.391976 | − | 0.919976i | \(-0.371792\pi\) |
0.799449 | + | 0.600734i | \(0.205125\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 39.6108 | + | 21.4278i | 1.98302 | + | 1.07273i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −6.84060 | + | 11.8483i | −0.341603 | + | 0.591674i | −0.984731 | − | 0.174085i | \(-0.944303\pi\) |
0.643127 | + | 0.765759i | \(0.277637\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.50882 | + | 13.0951i | −0.174787 | + | 0.652314i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 8.20011 | − | 20.3602i | 0.407467 | − | 1.01171i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.68818 | − | 2.68818i | 0.133248 | − | 0.133248i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.44604 | − | 11.1649i | −0.318736 | − | 0.552067i | 0.661489 | − | 0.749955i | \(-0.269925\pi\) |
−0.980225 | + | 0.197888i | \(0.936592\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 35.6879 | + | 20.6044i | 1.76035 | + | 1.01634i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 9.33411 | − | 9.86658i | 0.459302 | − | 0.485503i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.854730 | − | 0.103997i | −0.0419570 | − | 0.00510501i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 9.99421 | + | 2.67794i | 0.489419 | + | 0.131139i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −8.27208 | −0.404117 | −0.202059 | − | 0.979373i | \(-0.564763\pi\) | ||||
−0.202059 | + | 0.979373i | \(0.564763\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −21.7954 | −1.06224 | −0.531121 | − | 0.847296i | \(-0.678229\pi\) | ||||
−0.531121 | + | 0.847296i | \(0.678229\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −26.5578 | − | 7.11613i | −1.29128 | − | 0.345998i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 7.41180 | + | 4.08722i | 0.359525 | + | 0.198259i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.40419 | − | 18.4704i | 0.213134 | − | 0.893845i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −55.8463 | − | 32.2429i | −2.69629 | − | 1.55670i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −0.922967 | − | 1.59863i | −0.0444578 | − | 0.0770031i | 0.842940 | − | 0.538007i | \(-0.180823\pi\) |
−0.887398 | + | 0.461004i | \(0.847489\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −28.5087 | + | 28.5087i | −1.37004 | + | 1.37004i | −0.509670 | + | 0.860370i | \(0.670233\pi\) |
−0.860370 | + | 0.509670i | \(0.829767\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 6.53393 | − | 2.78194i | 0.313278 | − | 0.133384i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 9.39827 | − | 35.0748i | 0.449580 | − | 1.67786i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.1088 | + | 17.5090i | −0.482469 | + | 0.835660i | −0.999797 | − | 0.0201265i | \(-0.993593\pi\) |
0.517329 | + | 0.855787i | \(0.326926\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −18.8532 | + | 1.04646i | −0.897770 | + | 0.0498315i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 23.1032 | − | 6.19049i | 1.09767 | − | 0.294119i | 0.335853 | − | 0.941914i | \(-0.390975\pi\) |
0.761815 | + | 0.647795i | \(0.224309\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.94838 | − | 1.12596i | 0.376789 | − | 0.0533754i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 4.33708 | + | 4.33708i | 0.205137 | + | 0.205137i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 15.9935i | − | 0.754782i | −0.926054 | − | 0.377391i | \(-0.876821\pi\) | ||
0.926054 | − | 0.377391i | \(-0.123179\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 21.5858 | − | 12.4626i | 1.01644 | − | 0.586840i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.637878 | + | 2.38059i | 0.0299701 | + | 0.111850i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −6.12539 | − | 36.0194i | −0.287163 | − | 1.68862i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.93478 | + | 14.6848i | 0.184061 | + | 0.686925i | 0.994830 | + | 0.101558i | \(0.0323829\pi\) |
−0.810769 | + | 0.585367i | \(0.800950\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.05869 | − | 0.611235i | 0.0494154 | − | 0.0285300i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 24.4079i | 1.13679i | 0.822756 | + | 0.568395i | \(0.192436\pi\) | ||||
−0.822756 | + | 0.568395i | \(0.807564\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.25987 | + | 5.25987i | 0.244447 | + | 0.244447i | 0.818687 | − | 0.574240i | \(-0.194702\pi\) |
−0.574240 | + | 0.818687i | \(0.694702\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 9.36492 | + | 7.04090i | 0.434288 | + | 0.326514i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −35.7255 | + | 9.57262i | −1.65318 | + | 0.442968i | −0.960501 | − | 0.278278i | \(-0.910236\pi\) |
−0.692679 | + | 0.721246i | \(0.743570\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.540307 | + | 19.4834i | 0.0249490 | + | 0.899662i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 21.7261 | − | 37.6307i | 1.00109 | − | 1.73393i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −5.45260 | + | 20.3494i | −0.250711 | + | 0.935666i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 25.7030 | + | 24.7124i | 1.17933 | + | 1.13388i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.98915 | + | 3.98915i | −0.182651 | + | 0.182651i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −11.0150 | − | 19.0786i | −0.503289 | − | 0.871722i | −0.999993 | − | 0.00380219i | \(-0.998790\pi\) |
0.496704 | − | 0.867920i | \(-0.334544\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.64801 | − | 2.68353i | −0.211931 | − | 0.122359i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 9.18076 | + | 30.8189i | 0.417739 | + | 1.40231i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.124431 | + | 1.02267i | −0.00565010 | + | 0.0464370i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 14.4450 | + | 3.87053i | 0.654566 | + | 0.175390i | 0.570792 | − | 0.821094i | \(-0.306636\pi\) |
0.0837736 | + | 0.996485i | \(0.473303\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 20.8570 | 0.943187 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.9698 | −0.630449 | −0.315224 | − | 0.949017i | \(-0.602080\pi\) | ||||
−0.315224 | + | 0.949017i | \(0.602080\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.17559 | + | 0.582948i | 0.0979838 | + | 0.0262547i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −20.7744 | + | 16.2675i | −0.933742 | + | 0.731168i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.26288 | − | 10.9531i | −0.146360 | − | 0.491316i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −5.90449 | − | 3.40896i | −0.264321 | − | 0.152606i | 0.361983 | − | 0.932185i | \(-0.382100\pi\) |
−0.626304 | + | 0.779579i | \(0.715433\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −20.8923 | − | 36.1865i | −0.933400 | − | 1.61670i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −13.8531 | + | 13.8531i | −0.617679 | + | 0.617679i | −0.944936 | − | 0.327256i | \(-0.893876\pi\) |
0.327256 | + | 0.944936i | \(0.393876\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 25.6046 | + | 10.3123i | 1.13939 | + | 0.458892i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −15.5314 | + | 57.9640i | −0.689774 | + | 2.57427i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −22.4079 | + | 38.8116i | −0.993213 | + | 1.72030i | −0.395882 | + | 0.918301i | \(0.629561\pi\) |
−0.597332 | + | 0.801994i | \(0.703772\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.08299 | + | 39.0525i | 0.0479085 | + | 1.72758i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 4.97434 | − | 1.33287i | 0.219623 | − | 0.0588477i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 7.35429 | − | 9.78176i | 0.324069 | − | 0.431036i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −31.5289 | − | 31.5289i | −1.38664 | − | 1.38664i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 6.88642i | 0.302280i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 31.4574 | − | 18.1620i | 1.37818 | − | 0.795690i | 0.386236 | − | 0.922400i | \(-0.373775\pi\) |
0.991940 | + | 0.126710i | \(0.0404418\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.05288 | − | 15.1255i | −0.177220 | − | 0.661394i | −0.996163 | − | 0.0875187i | \(-0.972106\pi\) |
0.818943 | − | 0.573875i | \(-0.194560\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −30.8530 | − | 6.71911i | −1.34654 | − | 0.293246i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.961782 | + | 3.58942i | 0.0418959 | + | 0.156358i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.53622 | − | 1.46429i | 0.110271 | − | 0.0636647i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 13.8476i | 0.600934i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −24.8821 | − | 24.8821i | −1.07776 | − | 1.07776i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.81139 | + | 6.39951i | −0.208015 | + | 0.276675i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 17.2389 | − | 4.61916i | 0.743916 | − | 0.199332i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −27.3269 | − | 13.8176i | −1.17705 | − | 0.595165i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.57826 | + | 13.1259i | −0.325815 | + | 0.564328i | −0.981677 | − | 0.190553i | \(-0.938972\pi\) |
0.655862 | + | 0.754881i | \(0.272305\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 13.4249 | − | 50.1024i | 0.576118 | − | 2.15010i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 13.9146 | + | 5.60412i | 0.596035 | + | 0.240054i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 24.0863 | − | 24.0863i | 1.02985 | − | 1.02985i | 0.0303138 | − | 0.999540i | \(-0.490349\pi\) |
0.999540 | − | 0.0303138i | \(-0.00965066\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 9.67964 | + | 16.7656i | 0.413117 | + | 0.715540i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 8.21710 | + | 4.74414i | 0.350060 | + | 0.202107i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.42004 | − | 14.3431i | 0.145435 | − | 0.609929i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −3.65198 | + | 2.85969i | −0.155018 | + | 0.121387i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 25.2878 | + | 6.77586i | 1.07148 | + | 0.287102i | 0.751101 | − | 0.660187i | \(-0.229523\pi\) |
0.320379 | + | 0.947289i | \(0.396190\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 29.7420 | 1.25795 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −17.6758 | −0.746273 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 4.24428 | + | 1.13725i | 0.178875 | + | 0.0479294i | 0.347145 | − | 0.937812i | \(-0.387151\pi\) |
−0.168270 | + | 0.985741i | \(0.553818\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.19717 | + | 18.0581i | −0.0924358 | + | 0.759711i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −17.8481 | + | 18.8663i | −0.749550 | + | 0.792308i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −9.41275 | − | 5.43445i | −0.394603 | − | 0.227824i | 0.289550 | − | 0.957163i | \(-0.406494\pi\) |
−0.684153 | + | 0.729339i | \(0.739828\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −22.5354 | − | 39.0325i | −0.943078 | − | 1.63346i | −0.759555 | − | 0.650444i | \(-0.774583\pi\) |
−0.183523 | − | 0.983015i | \(-0.558750\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 19.3548 | − | 19.3548i | 0.808560 | − | 0.808560i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.500131 | + | 25.4551i | 0.0208569 | + | 1.06155i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.05442 | − | 22.5954i | 0.252049 | − | 0.940659i | −0.717660 | − | 0.696394i | \(-0.754787\pi\) |
0.969709 | − | 0.244265i | \(-0.0785467\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 6.62753 | − | 11.4792i | 0.275431 | − | 0.477060i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.896079 | + | 0.484740i | 0.0371756 | + | 0.0201104i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.83721 | + | 2.36792i | −0.366000 | + | 0.0980693i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 29.7742 | + | 22.3853i | 1.23101 | + | 0.925519i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −13.2002 | − | 13.2002i | −0.544831 | − | 0.544831i | 0.380110 | − | 0.924941i | \(-0.375886\pi\) |
−0.924941 | + | 0.380110i | \(0.875886\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.6543i | 0.645025i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 36.8332 | − | 21.2657i | 1.51512 | − | 0.874753i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −0.815375 | − | 3.04302i | −0.0334835 | − | 0.124962i | 0.947161 | − | 0.320758i | \(-0.103938\pi\) |
−0.980645 | + | 0.195796i | \(0.937271\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.39058 | − | 7.71082i | −0.261988 | − | 0.316113i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −2.50101 | − | 9.33389i | −0.102360 | − | 0.382011i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 14.3732 | − | 8.29838i | 0.587274 | − | 0.339063i | −0.176745 | − | 0.984257i | \(-0.556557\pi\) |
0.764019 | + | 0.645194i | \(0.223223\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 10.4871i | − | 0.427778i | −0.976858 | − | 0.213889i | \(-0.931387\pi\) | ||
0.976858 | − | 0.213889i | \(-0.0686131\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −14.0515 | − | 14.0515i | −0.572222 | − | 0.572222i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −18.0137 | + | 2.55180i | −0.732362 | + | 0.103745i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −31.0456 | + | 8.31863i | −1.26010 | + | 0.337643i | −0.826230 | − | 0.563332i | \(-0.809519\pi\) |
−0.433870 | + | 0.900975i | \(0.642852\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −8.39940 | + | 0.232929i | −0.340361 | + | 0.00943874i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −31.4744 | + | 54.5152i | −1.27332 | + | 2.20545i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.07304 | − | 22.6649i | 0.245288 | − | 0.915427i | −0.727951 | − | 0.685630i | \(-0.759527\pi\) |
0.973238 | − | 0.229797i | \(-0.0738064\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −27.9806 | + | 11.9133i | −1.12829 | + | 0.480390i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −24.6695 | + | 24.6695i | −0.993158 | + | 0.993158i | −0.999977 | − | 0.00681844i | \(-0.997830\pi\) |
0.00681844 | + | 0.999977i | \(0.497830\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 12.1208 | + | 20.9938i | 0.487174 | + | 0.843811i | 0.999891 | − | 0.0147470i | \(-0.00469428\pi\) |
−0.512717 | + | 0.858558i | \(0.671361\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.18456 | + | 1.83861i | 0.127792 | + | 0.0737808i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −9.23951 | − | 2.20312i | −0.370173 | − | 0.0882663i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −22.1249 | − | 11.6399i | −0.884997 | − | 0.465597i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −71.9245 | − | 19.2721i | −2.87239 | − | 0.769654i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.47113 | −0.0586579 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 25.2348 | 1.00458 | 0.502291 | − | 0.864699i | \(-0.332491\pi\) | ||||
0.502291 | + | 0.864699i | \(0.332491\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 49.1586 | + | 13.1720i | 1.95388 | + | 0.523541i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 10.9123 | + | 1.32772i | 0.433040 | + | 0.0526890i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −8.85748 | + | 42.3135i | −0.350946 | + | 1.67652i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 10.0911 | + | 5.82608i | 0.399197 | + | 0.230476i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 18.0215 | + | 31.2142i | 0.711808 | + | 1.23289i | 0.964178 | + | 0.265257i | \(0.0854568\pi\) |
−0.252370 | + | 0.967631i | \(0.581210\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 16.5722 | − | 16.5722i | 0.653545 | − | 0.653545i | −0.300300 | − | 0.953845i | \(-0.597087\pi\) |
0.953845 | + | 0.300300i | \(0.0970868\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 9.60281 | − | 23.8430i | 0.378110 | − | 0.938816i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −7.11698 | + | 26.5609i | −0.279797 | + | 1.04422i | 0.672760 | + | 0.739860i | \(0.265108\pi\) |
−0.952558 | + | 0.304358i | \(0.901558\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −11.2285 | + | 19.4483i | −0.440755 | + | 0.763411i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −7.26172 | − | 11.8091i | −0.284609 | − | 0.462834i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −11.5652 | + | 3.09889i | −0.452581 | + | 0.121269i | −0.477907 | − | 0.878410i | \(-0.658604\pi\) |
0.0253256 | + | 0.999679i | \(0.491938\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.71251 | − | 12.0890i | −0.0669134 | − | 0.472357i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −28.1648 | − | 28.1648i | −1.09881 | − | 1.09881i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 46.6055i | 1.81549i | 0.419521 | + | 0.907746i | \(0.362198\pi\) | ||||
−0.419521 | + | 0.907746i | \(0.637802\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.27963 | − | 1.31614i | 0.0886673 | − | 0.0511921i | −0.455011 | − | 0.890486i | \(-0.650365\pi\) |
0.543678 | + | 0.839294i | \(0.317031\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 6.45860 | + | 24.1038i | 0.250831 | + | 0.936115i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −17.5967 | − | 38.3438i | −0.682370 | − | 1.48691i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.75352 | + | 6.54423i | 0.0678966 | + | 0.253394i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −57.7816 | + | 33.3602i | −2.23397 | + | 1.28978i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 31.3953i | 1.21200i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −22.7177 | − | 22.7177i | −0.875704 | − | 0.875704i | 0.117383 | − | 0.993087i | \(-0.462549\pi\) |
−0.993087 | + | 0.117383i | \(0.962549\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −3.09095 | + | 1.86646i | −0.118971 | + | 0.0718402i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −10.0751 | + | 2.69961i | −0.387216 | + | 0.103754i | −0.447175 | − | 0.894447i | \(-0.647570\pi\) |
0.0599584 | + | 0.998201i | \(0.480903\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.579983 | − | 1.07214i | 0.0222577 | − | 0.0411450i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.50863 | + | 6.07713i | −0.134451 | + | 0.232876i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.50520 | − | 9.34955i | 0.0958589 | − | 0.357750i | −0.901289 | − | 0.433218i | \(-0.857378\pi\) |
0.997148 | + | 0.0754672i | \(0.0240448\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −15.1228 | − | 35.5188i | −0.577812 | − | 1.35710i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 40.6089 | − | 40.6089i | 1.54933 | − | 1.54933i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 6.45809 | + | 11.1857i | 0.246034 | + | 0.426143i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 19.8093 | + | 11.4369i | 0.753583 | + | 0.435081i | 0.826987 | − | 0.562221i | \(-0.190053\pi\) |
−0.0734041 | + | 0.997302i | \(0.523386\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 29.9207 | − | 8.91320i | 1.13659 | − | 0.338584i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −5.97585 | − | 7.63149i | −0.226677 | − | 0.289479i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.31666 | − | 2.49639i | −0.352894 | − | 0.0945576i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −5.87389 | −0.222171 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −47.3309 | −1.78766 | −0.893831 | − | 0.448403i | \(-0.851993\pi\) | ||||
−0.893831 | + | 0.448403i | \(0.851993\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −5.98618 | − | 1.60399i | −0.225773 | − | 0.0604957i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 33.5405 | + | 42.8330i | 1.26321 | + | 1.61319i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −23.7259 | − | 22.4455i | −0.892304 | − | 0.844149i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 37.1759 | + | 21.4635i | 1.39617 | + | 0.806079i | 0.993989 | − | 0.109480i | \(-0.0349187\pi\) |
0.402182 | + | 0.915560i | \(0.368252\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 7.51667 | + | 13.0192i | 0.281897 | + | 0.488260i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −7.90399 | + | 7.90399i | −0.296007 | + | 0.296007i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 23.6650 | + | 55.5818i | 0.885020 | + | 2.07864i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −9.56048 | + | 35.6802i | −0.357043 | + | 1.33250i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 10.8241 | − | 18.7480i | 0.403673 | − | 0.699181i | −0.590493 | − | 0.807042i | \(-0.701067\pi\) |
0.994166 | + | 0.107861i | \(0.0344002\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −12.3347 | + | 7.58494i | −0.459368 | + | 0.282478i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 36.9431 | − | 9.89888i | 1.37393 | − | 0.368143i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −6.45856 | − | 1.59527i | −0.239865 | − | 0.0592470i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 5.06759 | + | 5.06759i | 0.187947 | + | 0.187947i | 0.794808 | − | 0.606861i | \(-0.207572\pi\) |
−0.606861 | + | 0.794808i | \(0.707572\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 21.3073i | − | 0.789159i | ||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 7.06019 | − | 4.07620i | 0.261130 | − | 0.150764i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −8.20019 | − | 30.6035i | −0.302881 | − | 1.13037i | −0.934754 | − | 0.355295i | \(-0.884380\pi\) |
0.631873 | − | 0.775072i | \(-0.282286\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 31.0612 | + | 20.7624i | 1.14571 | + | 0.765834i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −8.34085 | − | 31.1285i | −0.307239 | − | 1.14663i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −14.6237 | + | 8.44299i | −0.537941 | + | 0.310580i | −0.744244 | − | 0.667908i | \(-0.767190\pi\) |
0.206303 | + | 0.978488i | \(0.433857\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 105.123i | 3.86177i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −23.6519 | − | 23.6519i | −0.867703 | − | 0.867703i | 0.124515 | − | 0.992218i | \(-0.460262\pi\) |
−0.992218 | + | 0.124515i | \(0.960262\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.805907 | − | 5.68908i | −0.0295262 | − | 0.208432i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −1.00331 | + | 0.268835i | −0.0367090 | + | 0.00983615i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 8.06971 | − | 4.96229i | 0.294861 | − | 0.181318i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.13856 | − | 7.16820i | 0.151018 | − | 0.261571i | −0.780584 | − | 0.625051i | \(-0.785078\pi\) |
0.931602 | + | 0.363480i | \(0.118411\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.366228 | − | 1.36678i | 0.0133461 | − | 0.0498083i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0.862545 | − | 2.14163i | 0.0313912 | − | 0.0779418i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 21.6103 | − | 21.6103i | 0.785439 | − | 0.785439i | −0.195304 | − | 0.980743i | \(-0.562569\pi\) |
0.980743 | + | 0.195304i | \(0.0625693\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −26.5846 | − | 46.0459i | −0.964960 | − | 1.67136i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −18.9354 | − | 10.9324i | −0.686408 | − | 0.396298i | 0.115857 | − | 0.993266i | \(-0.463038\pi\) |
−0.802265 | + | 0.596968i | \(0.796372\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −12.8936 | − | 12.1978i | −0.466779 | − | 0.441589i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 10.1358 | + | 1.23324i | 0.366459 | + | 0.0445880i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 30.6236 | + | 8.20558i | 1.10576 | + | 0.296286i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −24.3594 | −0.878421 | −0.439211 | − | 0.898384i | \(-0.644742\pi\) | ||||
−0.439211 | + | 0.898384i | \(0.644742\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 46.2987 | 1.66741 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 17.9762 | + | 4.81671i | 0.646560 | + | 0.173245i | 0.567173 | − | 0.823599i | \(-0.308037\pi\) |
0.0793867 | + | 0.996844i | \(0.474704\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.04850 | − | 10.5441i | −0.109505 | − | 0.378755i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 5.25982 | − | 1.56687i | 0.188695 | − | 0.0562111i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −35.1885 | − | 20.3161i | −1.26076 | − | 0.727900i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.44827 | + | 16.3649i | 0.338086 | + | 0.585582i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.679423 | + | 0.679423i | −0.0242806 | + | 0.0242806i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −37.4524 | + | 15.9461i | −1.33673 | + | 0.569139i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 6.78612 | − | 25.3262i | 0.241899 | − | 0.902780i | −0.733018 | − | 0.680210i | \(-0.761889\pi\) |
0.974917 | − | 0.222570i | \(-0.0714446\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 30.3706 | − | 52.6034i | 1.08122 | − | 1.87273i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 10.2412 | − | 18.9317i | 0.364137 | − | 0.673134i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 42.8126 | − | 11.4716i | 1.52032 | − | 0.407369i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 11.0523 | − | 1.56565i | 0.391984 | − | 0.0555279i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −12.0225 | − | 12.0225i | −0.425859 | − | 0.425859i | 0.461356 | − | 0.887215i | \(-0.347363\pi\) |
−0.887215 | + | 0.461356i | \(0.847363\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 17.2545i | 0.610420i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 8.38674 | − | 4.84208i | 0.296331 | − | 0.171087i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −16.7183 | − | 62.3937i | −0.589978 | − | 2.20183i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 10.4754 | − | 28.2448i | 0.369208 | − | 0.995497i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 7.62865 | + | 28.4705i | 0.268541 | + | 1.00221i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 34.2965 | − | 19.8011i | 1.20580 | − | 0.696169i | 0.243961 | − | 0.969785i | \(-0.421553\pi\) |
0.961839 | + | 0.273616i | \(0.0882196\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 25.3370i | 0.889703i | 0.895604 | + | 0.444852i | \(0.146744\pi\) | ||||
−0.895604 | + | 0.444852i | \(0.853256\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 19.6608 | + | 19.6608i | 0.689533 | + | 0.689533i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −15.6172 | − | 11.7416i | −0.547047 | − | 0.411291i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 33.1729 | − | 8.88865i | 1.16057 | − | 0.310974i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −23.0874 | − | 37.5449i | −0.806738 | − | 1.31192i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 24.0406 | − | 41.6395i | 0.839022 | − | 1.45323i | −0.0516917 | − | 0.998663i | \(-0.516461\pi\) |
0.890713 | − | 0.454565i | \(-0.150205\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1.00438 | + | 3.74840i | −0.0350105 | + | 0.130661i | −0.981219 | − | 0.192896i | \(-0.938212\pi\) |
0.946209 | + | 0.323557i | \(0.104879\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 52.1984 | − | 1.02557i | 1.81731 | − | 0.0357057i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 16.8597 | − | 16.8597i | 0.586268 | − | 0.586268i | −0.350351 | − | 0.936619i | \(-0.613938\pi\) |
0.936619 | + | 0.350351i | \(0.113938\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −8.10906 | − | 14.0453i | −0.281639 | − | 0.487813i | 0.690149 | − | 0.723667i | \(-0.257545\pi\) |
−0.971789 | + | 0.235853i | \(0.924211\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −39.0722 | − | 22.5583i | −1.35540 | − | 0.782540i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 3.69655 | + | 11.2583i | 0.128078 | + | 0.390078i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.72783 | + | 38.8571i | −0.163613 | + | 1.34470i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.53125 | − | 0.410297i | −0.0529277 | − | 0.0141819i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −2.13469 | −0.0736978 | −0.0368489 | − | 0.999321i | \(-0.511732\pi\) | ||||
−0.0368489 | + | 0.999321i | \(0.511732\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 27.2297 | 0.938955 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −50.6760 | − | 13.5786i | −1.74537 | − | 0.467671i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 44.2608 | − | 34.6585i | 1.52262 | − | 1.19229i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 20.9399 | + | 4.99302i | 0.719502 | + | 0.171562i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 49.5705 | + | 28.6196i | 1.70126 | + | 0.982220i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −2.21260 | − | 3.83233i | −0.0758469 | − | 0.131371i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 12.2640 | − | 12.2640i | 0.419910 | − | 0.419910i | −0.465263 | − | 0.885173i | \(-0.654040\pi\) |
0.885173 | + | 0.465263i | \(0.154040\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 39.8988 | + | 16.0693i | 1.36451 | + | 0.549559i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −7.15985 | + | 26.7209i | −0.244576 | + | 0.912769i | 0.729021 | + | 0.684492i | \(0.239976\pi\) |
−0.973596 | + | 0.228277i | \(0.926691\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −10.3098 | + | 17.8570i | −0.351765 | + | 0.609274i | −0.986559 | − | 0.163407i | \(-0.947752\pi\) |
0.634794 | + | 0.772681i | \(0.281085\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 35.9692 | − | 0.997482i | 1.22583 | − | 0.0339941i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 28.5311 | − | 7.64489i | 0.971211 | − | 0.260235i | 0.261872 | − | 0.965103i | \(-0.415660\pi\) |
0.709339 | + | 0.704868i | \(0.248994\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.87676 | − | 5.15638i | 0.131814 | − | 0.175322i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −23.8563 | − | 23.8563i | −0.810202 | − | 0.810202i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 24.3799i | 0.827030i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −39.4010 | + | 22.7482i | −1.33505 | + | 0.770793i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.321656 | + | 1.20044i | 0.0108864 | + | 0.0406286i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 19.3194 | + | 22.4000i | 0.653115 | + | 0.757259i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.00650 | + | 3.75632i | 0.0339872 | + | 0.126842i | 0.980835 | − | 0.194840i | \(-0.0624186\pi\) |
−0.946848 | + | 0.321681i | \(0.895752\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.870248 | + | 0.502438i | −0.0293527 | + | 0.0169468i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 17.0033i | 0.572854i | 0.958102 | + | 0.286427i | \(0.0924676\pi\) | ||||
−0.958102 | + | 0.286427i | \(0.907532\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −19.1776 | − | 19.1776i | −0.645377 | − | 0.645377i | 0.306496 | − | 0.951872i | \(-0.400844\pi\) |
−0.951872 | + | 0.306496i | \(0.900844\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 16.4655 | − | 21.9004i | 0.553483 | − | 0.736174i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 20.3195 | − | 5.44459i | 0.682262 | − | 0.182812i | 0.0989899 | − | 0.995088i | \(-0.468439\pi\) |
0.583272 | + | 0.812277i | \(0.301772\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −11.4402 | − | 6.18865i | −0.383691 | − | 0.207561i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 21.4704 | − | 37.1877i | 0.719284 | − | 1.24584i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −18.8127 | + | 70.2101i | −0.629544 | + | 2.34949i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −15.5085 | − | 6.24607i | −0.518391 | − | 0.208783i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −53.0772 | + | 53.0772i | −1.77220 | + | 1.77220i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −1.46039 | − | 2.52946i | −0.0487066 | − | 0.0843623i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.06605 | + | 1.77019i | 0.102145 | + | 0.0589735i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −20.9012 | + | 22.0935i | −0.695548 | + | 0.735226i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −38.2577 | + | 29.9578i | −1.27173 | + | 0.995831i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 23.1357 | + | 6.19919i | 0.768208 | + | 0.205841i | 0.621580 | − | 0.783351i | \(-0.286491\pi\) |
0.146629 | + | 0.989192i | \(0.453158\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 33.2989 | 1.10446 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −36.5580 | −1.21122 | −0.605611 | − | 0.795761i | \(-0.707071\pi\) | ||||
−0.605611 | + | 0.795761i | \(0.707071\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.62708 | − | 0.435975i | −0.0538485 | − | 0.0144287i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 4.62659 | − | 38.0250i | 0.152950 | − | 1.25707i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −3.35082 | + | 14.0528i | −0.110654 | + | 0.464063i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −18.5274 | − | 10.6968i | −0.611161 | − | 0.352854i | 0.162259 | − | 0.986748i | \(-0.448122\pi\) |
−0.773420 | + | 0.633894i | \(0.781455\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −10.0575 | − | 17.4202i | −0.331407 | − | 0.574014i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 18.8639 | − | 18.8639i | 0.620912 | − | 0.620912i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.34440 | − | 0.0853567i | 0.142843 | − | 0.00280651i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 3.82099 | − | 14.2601i | 0.125498 | − | 0.468364i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −3.04513 | + | 5.27431i | −0.0999073 | + | 0.173045i | −0.911646 | − | 0.410976i | \(-0.865188\pi\) |
0.811739 | + | 0.584021i | \(0.198521\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.76650 | + | 49.8416i | 0.0906684 | + | 1.63349i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −25.8505 | + | 6.92661i | −0.846306 | + | 0.226767i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 13.2352 | + | 9.95071i | 0.432837 | + | 0.325423i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −35.5732 | − | 35.5732i | −1.16213 | − | 1.16213i | −0.984009 | − | 0.178117i | \(-0.943000\pi\) |
−0.178117 | − | 0.984009i | \(-0.557000\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0.730567i | 0.0238412i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 42.4670 | − | 24.5184i | 1.38439 | − | 0.799276i | 0.391711 | − | 0.920088i | \(-0.371883\pi\) |
0.992675 | + | 0.120813i | \(0.0385500\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −7.50920 | − | 28.0247i | −0.244533 | − | 0.912610i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 4.21185 | − | 0.716259i | 0.137012 | − | 0.0232999i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 15.1647 | + | 56.5955i | 0.492787 | + | 1.83911i | 0.542086 | + | 0.840323i | \(0.317635\pi\) |
−0.0492986 | + | 0.998784i | \(0.515699\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −78.9752 | + | 45.5964i | −2.56364 | + | 1.48012i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 53.0619i | − | 1.72065i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 13.5252 | + | 13.5252i | 0.438125 | + | 0.438125i | 0.891381 | − | 0.453255i | \(-0.149737\pi\) |
−0.453255 | + | 0.891381i | \(0.649737\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −25.3884 | + | 3.59648i | −0.821548 | + | 0.116379i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 13.4196 | − | 3.59577i | 0.433794 | − | 0.116235i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 1.26621 | + | 45.6595i | 0.0408881 | + | 1.47442i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.0906 | + | 22.6735i | −0.422277 | + | 0.731404i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −2.49980 | + | 9.32939i | −0.0805550 | + | 0.300635i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −11.4248 | + | 4.86434i | −0.367779 | + | 0.156589i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −16.2564 | + | 16.2564i | −0.522770 | + | 0.522770i | −0.918407 | − | 0.395637i | \(-0.870524\pi\) |
0.395637 | + | 0.918407i | \(0.370524\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 14.4072 | + | 24.9541i | 0.462828 | + | 0.801641i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 37.5172 | + | 21.6605i | 1.20398 | + | 0.695120i | 0.961438 | − | 0.275020i | \(-0.0886845\pi\) |
0.242545 | + | 0.970140i | \(0.422018\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.27426 | + | 10.9914i | 0.104968 | + | 0.352367i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −20.4714 | − | 70.8062i | −0.655610 | − | 2.26761i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1.74652 | + | 0.467979i | 0.0558761 | + | 0.0149720i | 0.286649 | − | 0.958036i | \(-0.407459\pi\) |
−0.230773 | + | 0.973008i | \(0.574125\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 15.7050 | 0.501934 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 18.0959 | 0.577759 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 18.0205 | + | 4.82857i | 0.574763 | + | 0.154007i | 0.534480 | − | 0.845181i | \(-0.320507\pi\) |
0.0402830 | + | 0.999188i | \(0.487174\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −39.5515 | − | 4.81232i | −1.26021 | − | 0.153333i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −18.3774 | − | 61.6908i | −0.584958 | − | 1.96364i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 21.2372 | + | 12.2613i | 0.675304 | + | 0.389887i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.46732 | − | 14.6658i | −0.268973 | − | 0.465875i | 0.699624 | − | 0.714511i | \(-0.253351\pi\) |
−0.968597 | + | 0.248636i | \(0.920018\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −23.7852 | + | 23.7852i | −0.754801 | + | 0.754801i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −3.38189 | + | 8.39695i | −0.107213 | + | 0.266201i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 3.11510 | − | 11.6257i | 0.0986561 | − | 0.368190i | −0.898892 | − | 0.438170i | \(-0.855627\pi\) |
0.997548 | + | 0.0699801i | \(0.0222936\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0.313793 | − | 0.543505i | 0.00992797 | − | 0.0171957i |
(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 | 280.2.bo.a.33.2 | yes | 48 | |
4.3 | odd | 2 | 560.2.ci.e.33.11 | 48 | |||
5.2 | odd | 4 | inner | 280.2.bo.a.257.2 | yes | 48 | |
7.3 | odd | 6 | inner | 280.2.bo.a.73.2 | yes | 48 | |
20.7 | even | 4 | 560.2.ci.e.257.11 | 48 | |||
28.3 | even | 6 | 560.2.ci.e.353.11 | 48 | |||
35.17 | even | 12 | inner | 280.2.bo.a.17.2 | ✓ | 48 | |
140.87 | odd | 12 | 560.2.ci.e.17.11 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bo.a.17.2 | ✓ | 48 | 35.17 | even | 12 | inner | |
280.2.bo.a.33.2 | yes | 48 | 1.1 | even | 1 | trivial | |
280.2.bo.a.73.2 | yes | 48 | 7.3 | odd | 6 | inner | |
280.2.bo.a.257.2 | yes | 48 | 5.2 | odd | 4 | inner | |
560.2.ci.e.17.11 | 48 | 140.87 | odd | 12 | |||
560.2.ci.e.33.11 | 48 | 4.3 | odd | 2 | |||
560.2.ci.e.257.11 | 48 | 20.7 | even | 4 | |||
560.2.ci.e.353.11 | 48 | 28.3 | even | 6 |