Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [92,2,Mod(9,92)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(92, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("92.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 92 = 2^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 92.e (of order \(11\), degree \(10\), 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: | \(0.734623698596\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 9 x^{19} + 51 x^{18} - 200 x^{17} + 633 x^{16} - 1688 x^{15} + 3957 x^{14} - 8161 x^{13} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 29.2 | ||
Root | \(-0.250875 + 1.74487i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 92.29 |
Dual form | 92.2.e.a.73.2 |
$q$-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 \(\left(\mathbb{Z}/92\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{9}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.69141 | + | 0.496642i | 0.976535 | + | 0.286737i | 0.730793 | − | 0.682599i | \(-0.239150\pi\) |
0.245742 | + | 0.969335i | \(0.420969\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.630070 | + | 0.404921i | −0.281776 | + | 0.181086i | −0.673893 | − | 0.738829i | \(-0.735379\pi\) |
0.392117 | + | 0.919915i | \(0.371743\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.0283674 | + | 0.197300i | −0.0107219 | + | 0.0745724i | −0.994480 | − | 0.104928i | \(-0.966539\pi\) |
0.983758 | + | 0.179500i | \(0.0574480\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.0904475 | + | 0.0581271i | 0.0301492 | + | 0.0193757i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.64271 | − | 3.59702i | −0.495294 | − | 1.08454i | −0.977970 | − | 0.208744i | \(-0.933062\pi\) |
0.482676 | − | 0.875799i | \(-0.339665\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.588198 | + | 4.09101i | 0.163137 | + | 1.13464i | 0.892675 | + | 0.450701i | \(0.148826\pi\) |
−0.729538 | + | 0.683940i | \(0.760265\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.26681 | + | 0.371968i | −0.327088 | + | 0.0960417i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.78696 | − | 2.06226i | 0.433401 | − | 0.500172i | −0.496471 | − | 0.868053i | \(-0.665371\pi\) |
0.929873 | + | 0.367881i | \(0.119917\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.52857 | − | 2.91812i | −0.580093 | − | 0.669463i | 0.387532 | − | 0.921856i | \(-0.373328\pi\) |
−0.967625 | + | 0.252394i | \(0.918782\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.145968 | + | 0.319626i | −0.0318529 | + | 0.0697482i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.78098 | − | 0.377157i | −0.996903 | − | 0.0786426i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.84405 | + | 4.03790i | −0.368810 | + | 0.807580i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.33908 | − | 3.85350i | −0.642606 | − | 0.741607i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.13471 | + | 4.77171i | −0.767796 | + | 0.886084i | −0.996165 | − | 0.0874909i | \(-0.972115\pi\) |
0.228369 | + | 0.973575i | \(0.426661\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.69528 | − | 1.67229i | 1.02290 | − | 0.300351i | 0.273081 | − | 0.961991i | \(-0.411957\pi\) |
0.749822 | + | 0.661640i | \(0.230139\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.992052 | − | 6.89987i | −0.172694 | − | 1.20111i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.0620175 | − | 0.135799i | −0.0104829 | − | 0.0229543i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.76233 | + | 4.34589i | 1.11172 | + | 0.714459i | 0.961667 | − | 0.274219i | \(-0.0884192\pi\) |
0.150053 | + | 0.988678i | \(0.452056\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.03688 | + | 7.21169i | −0.166034 | + | 1.15479i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.51823 | − | 3.54635i | 0.861803 | − | 0.553847i | −0.0334323 | − | 0.999441i | \(-0.510644\pi\) |
0.895235 | + | 0.445594i | \(0.147007\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.37671 | + | 1.87237i | 0.972439 | + | 0.285534i | 0.729100 | − | 0.684407i | \(-0.239939\pi\) |
0.243339 | + | 0.969941i | \(0.421757\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.0805251 | −0.0120040 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.22850 | 0.179195 | 0.0895974 | − | 0.995978i | \(-0.471442\pi\) | ||||
0.0895974 | + | 0.995978i | \(0.471442\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.67833 | + | 1.96093i | 0.954047 | + | 0.280133i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.04668 | − | 2.60065i | 0.566649 | − | 0.364163i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.705887 | − | 4.90955i | 0.0969611 | − | 0.674379i | −0.882137 | − | 0.470992i | \(-0.843896\pi\) |
0.979098 | − | 0.203387i | \(-0.0651949\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.49153 | + | 1.60121i | 0.335958 | + | 0.215907i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.82757 | − | 6.19152i | −0.374521 | − | 0.820087i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.64337 | + | 11.4299i | 0.213949 | + | 1.48804i | 0.759797 | + | 0.650161i | \(0.225298\pi\) |
−0.545848 | + | 0.837884i | \(0.683792\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −11.9727 | + | 3.51551i | −1.53295 | + | 0.450115i | −0.935952 | − | 0.352128i | \(-0.885458\pi\) |
−0.596998 | + | 0.802243i | \(0.703640\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.0140342 | + | 0.0161964i | −0.00176815 | + | 0.00204055i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.02714 | − | 2.33945i | −0.251436 | − | 0.290173i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.860140 | + | 1.88344i | −0.105083 | + | 0.230099i | −0.954868 | − | 0.297029i | \(-0.904004\pi\) |
0.849786 | + | 0.527129i | \(0.176731\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −7.89927 | − | 3.01236i | −0.950961 | − | 0.362646i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.58538 | − | 7.85089i | 0.425506 | − | 0.931729i | −0.568528 | − | 0.822664i | \(-0.692487\pi\) |
0.994035 | − | 0.109065i | \(-0.0347857\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.122624 | + | 0.141516i | 0.0143521 | + | 0.0165632i | 0.762880 | − | 0.646540i | \(-0.223785\pi\) |
−0.748528 | + | 0.663103i | \(0.769239\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −5.12443 | + | 5.91391i | −0.591718 | + | 0.682879i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.756292 | − | 0.222067i | 0.0861874 | − | 0.0253069i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.139435 | − | 0.969792i | −0.0156877 | − | 0.109110i | 0.980473 | − | 0.196654i | \(-0.0630074\pi\) |
−0.996161 | + | 0.0875434i | \(0.972098\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.86792 | − | 8.46957i | −0.429769 | − | 0.941063i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.66355 | + | 2.99708i | 0.511891 | + | 0.328972i | 0.770957 | − | 0.636887i | \(-0.219778\pi\) |
−0.259066 | + | 0.965860i | \(0.583415\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.290856 | + | 2.02295i | −0.0315477 | + | 0.219419i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −9.36331 | + | 6.01743i | −1.00385 | + | 0.645137i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −16.2669 | − | 4.77638i | −1.72428 | − | 0.506295i | −0.738491 | − | 0.674263i | \(-0.764461\pi\) |
−0.985792 | + | 0.167968i | \(0.946279\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.823841 | −0.0863620 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 10.4636 | 1.08502 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.77478 | + | 0.814749i | 0.284687 | + | 0.0835915i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.6502 | − | 7.48715i | 1.18290 | − | 0.760205i | 0.206984 | − | 0.978344i | \(-0.433635\pi\) |
0.975918 | + | 0.218139i | \(0.0699987\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.0605058 | − | 0.420827i | 0.00608107 | − | 0.0422947i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.17015 | + | 2.03733i | 0.315442 | + | 0.202722i | 0.688775 | − | 0.724975i | \(-0.258149\pi\) |
−0.373333 | + | 0.927697i | \(0.621785\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.65087 | − | 14.5634i | −0.655330 | − | 1.43497i | −0.886811 | − | 0.462133i | \(-0.847084\pi\) |
0.231481 | − | 0.972840i | \(-0.425643\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.0374532 | − | 0.260493i | −0.00365506 | − | 0.0254215i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −11.5338 | + | 3.38664i | −1.11502 | + | 0.327399i | −0.786803 | − | 0.617204i | \(-0.788265\pi\) |
−0.328215 | + | 0.944603i | \(0.606447\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.05400 | + | 10.4489i | −0.867216 | + | 1.00082i | 0.132737 | + | 0.991151i | \(0.457623\pi\) |
−0.999953 | + | 0.00966948i | \(0.996922\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 9.27951 | + | 10.7091i | 0.880772 | + | 1.01647i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.977799 | + | 2.14108i | −0.0919836 | + | 0.201416i | −0.950032 | − | 0.312153i | \(-0.898950\pi\) |
0.858048 | + | 0.513569i | \(0.171677\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.16507 | − | 1.69828i | 0.295144 | − | 0.158366i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.184597 | + | 0.404212i | −0.0170660 | + | 0.0373694i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.356192 | + | 0.411068i | 0.0326521 | + | 0.0376825i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.03663 | + | 3.50445i | −0.276057 | + | 0.318587i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 11.0948 | − | 3.25774i | 1.00039 | − | 0.293741i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.00610 | − | 6.99757i | −0.0899882 | − | 0.625881i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.81612 | − | 8.35614i | −0.338626 | − | 0.741488i | 0.661337 | − | 0.750089i | \(-0.269989\pi\) |
−0.999963 | + | 0.00860123i | \(0.997262\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 9.85572 | + | 6.33389i | 0.867748 | + | 0.557668i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.783447 | + | 5.44900i | −0.0684501 | + | 0.476081i | 0.926547 | + | 0.376179i | \(0.122762\pi\) |
−0.994997 | + | 0.0999023i | \(0.968147\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.647474 | − | 0.416106i | 0.0561431 | − | 0.0360810i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.66422 | + | 1.07591i | 0.315366 | + | 0.0925997i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 19.3075 | 1.64955 | 0.824775 | − | 0.565462i | \(-0.191302\pi\) | ||||
0.824775 | + | 0.565462i | \(0.191302\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −16.9937 | −1.44138 | −0.720692 | − | 0.693255i | \(-0.756176\pi\) | ||||
−0.720692 | + | 0.693255i | \(0.756176\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.07789 | + | 0.610124i | 0.174990 | + | 0.0513817i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 13.7492 | − | 8.83608i | 1.14977 | − | 0.738910i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.672989 | − | 4.68074i | 0.0558887 | − | 0.388714i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 10.3219 | + | 6.63348i | 0.851336 | + | 0.547120i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 8.32099 | + | 18.2204i | 0.681682 | + | 1.49268i | 0.860851 | + | 0.508857i | \(0.169932\pi\) |
−0.179169 | + | 0.983818i | \(0.557341\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.517361 | + | 3.59832i | 0.0421022 | + | 0.292827i | 0.999984 | + | 0.00566439i | \(0.00180304\pi\) |
−0.957882 | + | 0.287163i | \(0.907288\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.281499 | − | 0.0826556i | 0.0227579 | − | 0.00668231i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.91128 | + | 3.35980i | −0.233840 | + | 0.269865i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.38983 | − | 2.75802i | −0.190730 | − | 0.220114i | 0.652328 | − | 0.757937i | \(-0.273792\pi\) |
−0.843058 | + | 0.537823i | \(0.819247\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.63224 | − | 7.95349i | 0.288055 | − | 0.630753i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.210037 | − | 0.932588i | 0.0165532 | − | 0.0734982i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.98965 | − | 21.8743i | 0.782450 | − | 1.71333i | 0.0853500 | − | 0.996351i | \(-0.472799\pi\) |
0.697099 | − | 0.716974i | \(-0.254474\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 3.41897 | + | 3.94570i | 0.266166 | + | 0.307172i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −9.38045 | + | 10.8256i | −0.725881 | + | 0.837711i | −0.992001 | − | 0.126228i | \(-0.959713\pi\) |
0.266120 | + | 0.963940i | \(0.414258\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.91695 | + | 1.15012i | −0.301304 | + | 0.0884708i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.0590806 | − | 0.410915i | −0.00451801 | − | 0.0314234i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −4.31858 | − | 9.45638i | −0.328336 | − | 0.718955i | 0.671419 | − | 0.741078i | \(-0.265685\pi\) |
−0.999755 | + | 0.0221223i | \(0.992958\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.744367 | − | 0.478376i | −0.0562688 | − | 0.0361618i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.89696 | + | 20.1488i | −0.217749 | + | 1.51447i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.273115 | + | 0.175520i | −0.0204135 | + | 0.0131190i | −0.550808 | − | 0.834632i | \(-0.685680\pi\) |
0.530394 | + | 0.847751i | \(0.322044\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.2935 | − | 3.60971i | −0.913772 | − | 0.268308i | −0.209144 | − | 0.977885i | \(-0.567068\pi\) |
−0.704628 | + | 0.709577i | \(0.748886\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −21.9967 | −1.62604 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −6.02048 | −0.442635 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −10.3534 | − | 3.04005i | −0.757119 | − | 0.222310i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.855017 | − | 0.549486i | 0.0621933 | − | 0.0399692i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.147662 | − | 1.02701i | 0.0106844 | − | 0.0743119i | −0.983782 | − | 0.179370i | \(-0.942594\pi\) |
0.994466 | + | 0.105059i | \(0.0335030\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.9520 | − | 7.03845i | −0.788345 | − | 0.506639i | 0.0834483 | − | 0.996512i | \(-0.473407\pi\) |
−0.871794 | + | 0.489873i | \(0.837043\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.26686 | − | 4.96372i | −0.162333 | − | 0.355460i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.72567 | − | 12.0023i | −0.122949 | − | 0.855131i | −0.954186 | − | 0.299213i | \(-0.903276\pi\) |
0.831237 | − | 0.555918i | \(-0.187633\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.0473142 | + | 0.0138927i | −0.00335401 | + | 0.000984827i | −0.283409 | − | 0.958999i | \(-0.591465\pi\) |
0.280055 | + | 0.959984i | \(0.409647\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.39025 | + | 2.75849i | −0.168595 | + | 0.194569i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.824166 | − | 0.951139i | −0.0578451 | − | 0.0667568i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.04088 | + | 4.46890i | −0.142541 | + | 0.312121i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.410504 | − | 0.312017i | −0.0285320 | − | 0.0216867i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −6.34286 | + | 13.8889i | −0.438745 | + | 0.960717i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.520031 | − | 0.600147i | −0.0358004 | − | 0.0413158i | 0.737567 | − | 0.675274i | \(-0.235975\pi\) |
−0.773367 | + | 0.633958i | \(0.781429\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 9.96342 | − | 11.4984i | 0.682682 | − | 0.787857i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −4.77594 | + | 1.40234i | −0.325716 | + | 0.0956389i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.168381 | + | 1.17112i | 0.0114305 | + | 0.0795006i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.137125 | + | 0.300262i | 0.00926604 | + | 0.0202898i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 9.48781 | + | 6.09745i | 0.638219 | + | 0.410159i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.771523 | − | 5.36606i | 0.0516650 | − | 0.359338i | −0.947546 | − | 0.319620i | \(-0.896445\pi\) |
0.999211 | − | 0.0397183i | \(-0.0126460\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.401501 | + | 0.258029i | −0.0267667 | + | 0.0172019i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 2.71986 | + | 0.798622i | 0.180523 | + | 0.0530064i | 0.370745 | − | 0.928735i | \(-0.379102\pi\) |
−0.190222 | + | 0.981741i | \(0.560921\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.78590 | 0.250179 | 0.125090 | − | 0.992145i | \(-0.460078\pi\) | ||||
0.125090 | + | 0.992145i | \(0.460078\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.38949 | 0.0914215 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 14.6483 | + | 4.30114i | 0.959645 | + | 0.281777i | 0.723797 | − | 0.690013i | \(-0.242395\pi\) |
0.235848 | + | 0.971790i | \(0.424213\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.774040 | + | 0.497445i | −0.0504928 | + | 0.0324497i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.245798 | − | 1.70956i | 0.0159663 | − | 0.111048i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.02770 | + | 0.660464i | 0.0664765 | + | 0.0427219i | 0.573457 | − | 0.819236i | \(-0.305602\pi\) |
−0.506980 | + | 0.861958i | \(0.669238\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.43354 | − | 5.32871i | −0.156758 | − | 0.343252i | 0.814915 | − | 0.579580i | \(-0.196783\pi\) |
−0.971673 | + | 0.236328i | \(0.924056\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.158937 | − | 1.10543i | −0.0101958 | − | 0.0709134i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −5.00184 | + | 1.46867i | −0.319556 | + | 0.0938300i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.4508 | − | 12.0608i | 0.664965 | − | 0.767411i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.39948 | + | 7.38540i | 0.405551 | + | 0.468031i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 5.54841 | − | 12.1493i | 0.350213 | − | 0.766859i | −0.649765 | − | 0.760135i | \(-0.725133\pi\) |
0.999977 | − | 0.00672333i | \(-0.00214012\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.49710 | + | 17.8168i | 0.408469 | + | 1.12014i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.49664 | + | 3.27718i | −0.0937230 | + | 0.205225i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 1.91135 | + | 2.20582i | 0.119227 | + | 0.137595i | 0.812225 | − | 0.583344i | \(-0.198256\pi\) |
−0.692998 | + | 0.720939i | \(0.743711\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.04927 | + | 1.21093i | −0.0651987 | + | 0.0752433i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.651339 | + | 0.191250i | −0.0403169 | + | 0.0118381i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 3.90184 | + | 27.1379i | 0.240598 | + | 1.67339i | 0.649150 | + | 0.760660i | \(0.275125\pi\) |
−0.408552 | + | 0.912735i | \(0.633966\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.54323 | + | 3.37919i | 0.0947996 | + | 0.207582i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −25.1417 | − | 16.1576i | −1.53865 | − | 0.988830i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 4.07708 | − | 28.3567i | 0.248584 | − | 1.72894i | −0.357829 | − | 0.933787i | \(-0.616483\pi\) |
0.606412 | − | 0.795150i | \(-0.292608\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.88049 | + | 3.13650i | −0.296469 | + | 0.190529i | −0.680416 | − | 0.732826i | \(-0.738201\pi\) |
0.383947 | + | 0.923355i | \(0.374564\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1.39345 | − | 0.409154i | −0.0843355 | − | 0.0247631i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 17.5537 | 1.05853 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 22.6782 | 1.36260 | 0.681301 | − | 0.732004i | \(-0.261415\pi\) | ||||
0.681301 | + | 0.732004i | \(0.261415\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.612329 | + | 0.179796i | 0.0366592 | + | 0.0107641i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −16.2288 | + | 10.4296i | −0.968130 | + | 0.622180i | −0.926237 | − | 0.376943i | \(-0.876975\pi\) |
−0.0418936 | + | 0.999122i | \(0.513339\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.85865 | + | 19.8823i | −0.169929 | + | 1.18188i | 0.709098 | + | 0.705110i | \(0.249102\pi\) |
−0.879027 | + | 0.476772i | \(0.841807\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 4.28865 | + | 2.75615i | 0.254038 | + | 0.163260i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.543157 | + | 1.18935i | 0.0320615 | + | 0.0702050i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.35966 | + | 9.45661i | 0.0799797 | + | 0.556271i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 23.4237 | − | 6.87783i | 1.37312 | − | 0.403186i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 5.28180 | − | 6.09553i | 0.308566 | − | 0.356104i | −0.580193 | − | 0.814479i | \(-0.697023\pi\) |
0.888759 | + | 0.458375i | \(0.151568\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.66364 | − | 6.53619i | −0.329750 | − | 0.380552i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −8.37601 | + | 18.3409i | −0.486026 | + | 1.06425i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.26921 | − | 19.7809i | −0.0734004 | − | 1.14396i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.550310 | + | 1.20501i | −0.0317193 | + | 0.0694556i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 4.35020 | + | 5.02040i | 0.249912 | + | 0.288414i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 6.12015 | − | 7.06303i | 0.350439 | − | 0.404428i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.54991 | − | 2.80411i | 0.545042 | − | 0.160039i | 0.00239127 | − | 0.999997i | \(-0.499239\pi\) |
0.542651 | + | 0.839958i | \(0.317421\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.01655 | − | 27.9357i | −0.228494 | − | 1.58921i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 13.2296 | + | 28.9688i | 0.750182 | + | 1.64267i | 0.766038 | + | 0.642795i | \(0.222225\pi\) |
−0.0158562 | + | 0.999874i | \(0.505047\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.04969 | − | 2.60258i | −0.228902 | − | 0.147106i | 0.421163 | − | 0.906985i | \(-0.361622\pi\) |
−0.650065 | + | 0.759879i | \(0.725258\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.00228429 | − | 0.0158876i | 0.000128705 | − | 0.000895165i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 12.2911 | − | 7.89904i | 0.690340 | − | 0.443654i | −0.147867 | − | 0.989007i | \(-0.547241\pi\) |
0.838207 | + | 0.545353i | \(0.183604\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 23.9560 | + | 7.03413i | 1.34128 | + | 0.393836i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −21.1904 | −1.18273 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −10.5364 | −0.586259 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −17.6038 | − | 5.16893i | −0.976480 | − | 0.286721i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −20.5034 | + | 13.1767i | −1.13384 | + | 0.728674i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.0348494 | + | 0.242383i | −0.00192131 | + | 0.0133630i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −6.05567 | − | 3.89174i | −0.332850 | − | 0.213909i | 0.363531 | − | 0.931582i | \(-0.381571\pi\) |
−0.696381 | + | 0.717673i | \(0.745207\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.359022 | + | 0.786149i | 0.0196743 | + | 0.0430807i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.220698 | − | 1.53499i | −0.0120580 | − | 0.0838655i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 24.0331 | − | 7.05674i | 1.30916 | − | 0.384405i | 0.448593 | − | 0.893736i | \(-0.351925\pi\) |
0.860571 | + | 0.509331i | \(0.170107\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −2.71721 | + | 3.13583i | −0.147579 | + | 0.170315i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −15.3709 | − | 17.7390i | −0.832382 | − | 0.960620i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.15597 | + | 2.53122i | −0.0624164 | + | 0.136673i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 6.19686 | − | 1.30059i | 0.333628 | − | 0.0700212i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −11.5366 | + | 25.2617i | −0.619320 | + | 1.35612i | 0.296694 | + | 0.954973i | \(0.404116\pi\) |
−0.916013 | + | 0.401148i | \(0.868611\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −17.4688 | − | 20.1600i | −0.935082 | − | 1.07914i | −0.996711 | − | 0.0810427i | \(-0.974175\pi\) |
0.0616289 | − | 0.998099i | \(-0.480370\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 13.8007 | − | 15.9268i | 0.736625 | − | 0.850111i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −31.2815 | + | 9.18507i | −1.66494 | + | 0.488872i | −0.972559 | − | 0.232656i | \(-0.925258\pi\) |
−0.692385 | + | 0.721528i | \(0.743440\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.919952 | + | 6.39840i | 0.0488260 | + | 0.339592i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.398313 | + | 0.872184i | 0.0210810 | + | 0.0461609i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −15.5338 | − | 9.98295i | −0.819841 | − | 0.526880i | 0.0621938 | − | 0.998064i | \(-0.480190\pi\) |
−0.882035 | + | 0.471184i | \(0.843827\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.582201 | − | 4.04930i | 0.0306422 | − | 0.213121i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.87663 | + | 4.41934i | −0.360930 | + | 0.231955i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.134565 | − | 0.0395118i | −0.00704344 | − | 0.00206814i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.97568 | −0.103129 | −0.0515647 | − | 0.998670i | \(-0.516421\pi\) | ||||
−0.0515647 | + | 0.998670i | \(0.516421\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.705249 | 0.0367138 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.948631 | + | 0.278543i | 0.0492504 | + | 0.0144612i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −25.3504 | + | 16.2917i | −1.31259 | + | 0.843552i | −0.994523 | − | 0.104515i | \(-0.966671\pi\) |
−0.318070 | + | 0.948067i | \(0.603035\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.77356 | − | 12.3354i | 0.0915865 | − | 0.636998i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −21.9531 | − | 14.1084i | −1.13064 | − | 0.726620i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.1117 | + | 30.9003i | 0.724869 | + | 1.58724i | 0.806952 | + | 0.590617i | \(0.201116\pi\) |
−0.0820824 | + | 0.996626i | \(0.526157\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −2.30461 | − | 16.0289i | −0.118069 | − | 0.821185i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −14.1867 | + | 4.16559i | −0.724907 | + | 0.212852i | −0.623311 | − | 0.781974i | \(-0.714213\pi\) |
−0.101596 | + | 0.994826i | \(0.532395\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.386597 | + | 0.446157i | −0.0197028 | + | 0.0227382i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.467922 | + | 0.540011i | 0.0237858 | + | 0.0274503i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 5.64245 | − | 12.3552i | 0.286084 | − | 0.626436i | −0.710964 | − | 0.703229i | \(-0.751741\pi\) |
0.997047 | + | 0.0767934i | \(0.0244682\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.32121 | + | 9.18566i | −0.471394 | + | 0.464539i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.03133 | + | 8.82738i | −0.203354 | + | 0.445283i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.480544 | + | 0.554577i | 0.0241788 | + | 0.0279038i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.89835 | − | 10.2692i | 0.446595 | − | 0.515398i | −0.487159 | − | 0.873313i | \(-0.661967\pi\) |
0.933754 | + | 0.357915i | \(0.116512\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 1.30180 | − | 0.382242i | 0.0651714 | − | 0.0191361i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 0.282371 | + | 1.96393i | 0.0141009 | + | 0.0980742i | 0.995656 | − | 0.0931030i | \(-0.0296786\pi\) |
−0.981556 | + | 0.191177i | \(0.938769\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 10.1913 | + | 22.3158i | 0.507664 | + | 1.11163i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 5.86657 | + | 3.77022i | 0.291512 | + | 0.187344i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 4.52374 | − | 31.4633i | 0.224233 | − | 1.55958i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 28.7886 | − | 18.5013i | 1.42350 | − | 0.914831i | 0.423544 | − | 0.905875i | \(-0.360786\pi\) |
0.999960 | − | 0.00895532i | \(-0.00285061\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 32.6568 | + | 9.58891i | 1.61084 | + | 0.472986i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −2.30173 | −0.113261 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.15194 | −0.203811 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −28.7432 | − | 8.43978i | −1.40756 | − | 0.413298i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −1.36373 | + | 0.876415i | −0.0666225 | + | 0.0428157i | −0.573528 | − | 0.819186i | \(-0.694426\pi\) |
0.506906 | + | 0.862002i | \(0.330789\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.20128 | + | 22.2654i | −0.156021 | + | 1.08515i | 0.749854 | + | 0.661604i | \(0.230124\pi\) |
−0.905875 | + | 0.423546i | \(0.860785\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.111115 | + | 0.0714090i | 0.00540258 | + | 0.00347202i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 5.03197 | + | 11.0185i | 0.244086 | + | 0.534475i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.353974 | − | 2.46194i | −0.0171300 | − | 0.119142i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 27.6439 | − | 8.11698i | 1.33466 | − | 0.391892i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 24.3589 | − | 28.1117i | 1.17333 | − | 1.35409i | 0.250855 | − | 0.968025i | \(-0.419288\pi\) |
0.922471 | − | 0.386066i | \(-0.126166\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.0521 | + | 12.7548i | 0.531129 | + | 0.612955i | 0.956382 | − | 0.292119i | \(-0.0943605\pi\) |
−0.425253 | + | 0.905074i | \(0.639815\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.46295 | − | 7.58281i | 0.166036 | − | 0.363568i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 10.9884 | + | 14.9051i | 0.525648 | + | 0.713009i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.24667 | − | 11.4886i | 0.250410 | − | 0.548321i | −0.742128 | − | 0.670258i | \(-0.766183\pi\) |
0.992538 | + | 0.121937i | \(0.0389107\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.490055 | + | 0.565553i | 0.0233359 | + | 0.0269311i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −6.76884 | + | 7.81166i | −0.321598 | + | 0.371143i | −0.893411 | − | 0.449240i | \(-0.851695\pi\) |
0.571813 | + | 0.820384i | \(0.306240\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 12.1833 | − | 3.57734i | 0.577545 | − | 0.169582i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 5.02516 | + | 34.9507i | 0.237682 | + | 1.65311i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 13.2761 | + | 29.0705i | 0.626536 | + | 1.37192i | 0.910669 | + | 0.413137i | \(0.135567\pi\) |
−0.284133 | + | 0.958785i | \(0.591706\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −21.8211 | − | 14.0236i | −1.02752 | − | 0.660345i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.912011 | + | 6.34318i | −0.0428500 | + | 0.298028i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.519077 | − | 0.333591i | 0.0243347 | − | 0.0156390i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 15.4562 | + | 4.53834i | 0.723009 | + | 0.212294i | 0.622476 | − | 0.782639i | \(-0.286127\pi\) |
0.100533 | + | 0.994934i | \(0.467945\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −13.9137 | −0.649437 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 16.7708 | 0.781095 | 0.390548 | − | 0.920583i | \(-0.372286\pi\) | ||||
0.390548 | + | 0.920583i | \(0.372286\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.96682 | + | 1.45839i | 0.230828 | + | 0.0677771i | 0.395101 | − | 0.918638i | \(-0.370710\pi\) |
−0.164273 | + | 0.986415i | \(0.552528\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −6.59278 | + | 4.23692i | −0.305733 | + | 0.196483i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 3.96774 | − | 27.5962i | 0.183605 | − | 1.27700i | −0.664546 | − | 0.747247i | \(-0.731375\pi\) |
0.848151 | − | 0.529754i | \(-0.177716\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.347203 | − | 0.223134i | −0.0160324 | − | 0.0103034i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −2.67244 | − | 5.85182i | −0.123139 | − | 0.269638i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3.74009 | − | 26.0129i | −0.171970 | − | 1.19608i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 16.4459 | − | 4.82895i | 0.754589 | − | 0.221567i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.349224 | − | 0.403026i | 0.0159899 | − | 0.0184533i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −4.97644 | − | 5.74312i | −0.227379 | − | 0.262410i | 0.630584 | − | 0.776121i | \(-0.282816\pi\) |
−0.857963 | + | 0.513712i | \(0.828270\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −13.8015 | + | 30.2210i | −0.629293 | + | 1.37796i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.818421 | − | 1.47307i | 0.0372394 | − | 0.0670271i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −4.30875 | + | 9.43486i | −0.195650 | + | 0.428415i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 13.6781 | + | 15.7854i | 0.619815 | + | 0.715304i | 0.975672 | − | 0.219236i | \(-0.0703565\pi\) |
−0.355857 | + | 0.934540i | \(0.615811\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 27.7603 | − | 32.0370i | 1.25536 | − | 1.44877i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −37.3013 | + | 10.9527i | −1.68338 | + | 0.494286i | −0.976946 | − | 0.213488i | \(-0.931518\pi\) |
−0.706439 | + | 0.707774i | \(0.749699\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.45195 | + | 17.0537i | 0.110430 | + | 0.768060i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.132279 | + | 0.289651i | 0.00594550 | + | 0.0130188i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.44727 | + | 0.930105i | 0.0649190 | + | 0.0417209i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.71140 | − | 11.9031i | 0.0766128 | − | 0.532854i | −0.914984 | − | 0.403489i | \(-0.867797\pi\) |
0.991597 | − | 0.129364i | \(-0.0412937\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −21.2426 | + | 13.6518i | −0.949051 | + | 0.609918i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −39.3913 | − | 11.5663i | −1.75637 | − | 0.515717i | −0.764685 | − | 0.644405i | \(-0.777105\pi\) |
−0.991685 | + | 0.128688i | \(0.958923\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.82238 | −0.125594 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.19636 | −0.319602 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −0.131914 | − | 0.0387334i | −0.00584698 | − | 0.00171683i | 0.278808 | − | 0.960347i | \(-0.410061\pi\) |
−0.284655 | + | 0.958630i | \(0.591879\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.0313996 | + | 0.0201793i | −0.00138904 | + | 0.000892680i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −2.80190 | + | 19.4877i | −0.123707 | + | 0.860401i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 10.0875 | + | 6.48287i | 0.444510 | + | 0.285669i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.01806 | − | 4.41894i | −0.0887542 | − | 0.194345i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −2.60805 | − | 18.1394i | −0.114481 | − | 0.796231i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 3.29022 | − | 0.966095i | 0.144147 | − | 0.0423254i | −0.208863 | − | 0.977945i | \(-0.566976\pi\) |
0.353010 | + | 0.935620i | \(0.385158\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.97888 | − | 2.28375i | 0.0865304 | − | 0.0998614i | −0.710833 | − | 0.703361i | \(-0.751682\pi\) |
0.797364 | + | 0.603499i | \(0.206227\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −1.02145 | − | 1.17881i | −0.0445796 | − | 0.0514476i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 6.72855 | − | 14.7335i | 0.293100 | − | 0.641800i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.7155 | + | 3.60636i | 0.987631 | + | 0.156798i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.515747 | + | 1.12933i | −0.0223815 | + | 0.0490087i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 17.7540 | + | 20.4892i | 0.769009 | + | 0.887484i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.89580 | − | 6.80412i | 0.254898 | − | 0.294168i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.549119 | + | 0.161236i | −0.0236962 | + | 0.00695784i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.91700 | − | 27.2433i | −0.168717 | − | 1.17345i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.6436 | − | 23.3063i | −0.457606 | − | 1.00202i | −0.988027 | − | 0.154283i | \(-0.950693\pi\) |
0.530420 | − | 0.847735i | \(-0.322034\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −19.0007 | − | 12.2110i | −0.815397 | − | 0.524024i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.47368 | − | 10.2497i | 0.0631256 | − | 0.439048i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −15.3761 | + | 9.88165i | −0.657436 | + | 0.422509i | −0.826377 | − | 0.563118i | \(-0.809602\pi\) |
0.168940 | + | 0.985626i | \(0.445965\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.28725 | − | 0.377970i | −0.0549385 | − | 0.0161314i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 24.3793 | 1.03859 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.195295 | 0.00830480 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −10.1831 | − | 2.99003i | −0.432248 | − | 0.126920i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −26.7412 | + | 17.1855i | −1.13306 | + | 0.728175i | −0.966197 | − | 0.257805i | \(-0.917001\pi\) |
−0.166865 | + | 0.985980i | \(0.553365\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.90911 | + | 27.1885i | −0.165338 | + | 1.14995i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −16.0021 | − | 10.2839i | −0.675609 | − | 0.434187i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 15.3961 | + | 33.7127i | 0.648868 | + | 1.42082i | 0.892542 | + | 0.450965i | \(0.148920\pi\) |
−0.243674 | + | 0.969857i | \(0.578353\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.250888 | − | 1.74496i | −0.0105549 | − | 0.0734111i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.78077 | − | 0.522881i | 0.0747853 | − | 0.0219589i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −23.8546 | + | 27.5297i | −1.00004 | + | 1.15411i | −0.0119947 | + | 0.999928i | \(0.503818\pi\) |
−0.988043 | + | 0.154177i | \(0.950727\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.08281 | + | 8.17400i | 0.296406 | + | 0.342071i | 0.884345 | − | 0.466835i | \(-0.154606\pi\) |
−0.587938 | + | 0.808906i | \(0.700060\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.759813 | − | 1.66376i | 0.0317417 | − | 0.0695045i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 10.3393 | − | 18.6096i | 0.431178 | − | 0.776075i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.20753 | − | 15.7823i | 0.300053 | − | 0.657025i | −0.698213 | − | 0.715890i | \(-0.746021\pi\) |
0.998266 | + | 0.0588653i | \(0.0187482\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −15.0288 | − | 17.3441i | −0.624575 | − | 0.720798i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.723616 | + | 0.835098i | −0.0300207 | + | 0.0346457i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −18.8193 | + | 5.52586i | −0.779418 | + | 0.228858i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.0473647 | − | 0.329429i | −0.00195829 | − | 0.0136202i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.34288 | − | 9.50958i | −0.179250 | − | 0.392502i | 0.798584 | − | 0.601883i | \(-0.205583\pi\) |
−0.977834 | + | 0.209380i | \(0.932855\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −19.2808 | − | 12.3910i | −0.794452 | − | 0.510563i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.04204 | − | 21.1579i | 0.125133 | − | 0.870319i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 4.38117 | − | 2.81561i | 0.179913 | − | 0.115623i | −0.447584 | − | 0.894242i | \(-0.647716\pi\) |
0.627498 | + | 0.778619i | \(0.284079\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.390876 | − | 0.114772i | −0.0160244 | − | 0.00470518i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.0869273 | −0.00355770 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −27.2177 | −1.11208 | −0.556042 | − | 0.831154i | \(-0.687681\pi\) | ||||
−0.556042 | + | 0.831154i | \(0.687681\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.92547 | − | 1.15262i | −0.160123 | − | 0.0470164i | 0.200689 | − | 0.979655i | \(-0.435682\pi\) |
−0.360812 | + | 0.932639i | \(0.617500\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.187277 | + | 0.120355i | −0.00762649 | + | 0.00490125i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0.494259 | − | 3.43765i | 0.0200945 | − | 0.139760i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.53923 | − | 5.48783i | −0.346597 | − | 0.222744i | 0.355747 | − | 0.934582i | \(-0.384227\pi\) |
−0.702343 | + | 0.711838i | \(0.747863\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.921626 | − | 2.01808i | −0.0373462 | − | 0.0817767i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.722600 | + | 5.02579i | 0.0292333 | + | 0.203322i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.28162 | + | 0.963572i | −0.132544 | + | 0.0389183i | −0.347332 | − | 0.937742i | \(-0.612912\pi\) |
0.214788 | + | 0.976661i | \(0.431094\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −5.67140 | + | 6.54515i | −0.228693 | + | 0.263926i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 9.88661 | + | 11.4098i | 0.398020 | + | 0.459340i | 0.919016 | − | 0.394219i | \(-0.128985\pi\) |
−0.520996 | + | 0.853559i | \(0.674439\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.50970 | − | 20.8233i | 0.382227 | − | 0.836961i | −0.616540 | − | 0.787323i | \(-0.711466\pi\) |
0.998767 | − | 0.0496373i | \(-0.0158065\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 14.5107 | + | 19.6829i | 0.582294 | + | 0.789846i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.40383 | − | 3.07396i | 0.0562432 | − | 0.123155i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.0674 | − | 12.7725i | −0.442697 | − | 0.510900i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −17.6262 | + | 20.3417i | −0.703922 | + | 0.812369i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 21.0464 | − | 6.17977i | 0.839174 | − | 0.246404i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.41104 | + | 30.6795i | 0.175601 | + | 1.22133i | 0.866796 | + | 0.498662i | \(0.166175\pi\) |
−0.691196 | + | 0.722668i | \(0.742916\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.581525 | − | 1.27336i | −0.0231136 | − | 0.0506116i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 5.78800 | + | 3.71972i | 0.229690 | + | 0.147613i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.09402 | + | 28.4745i | −0.162211 | + | 1.12820i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.780638 | − | 0.501685i | 0.0308815 | − | 0.0198464i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −27.7622 | − | 8.15172i | −1.09654 | − | 0.321974i | −0.317064 | − | 0.948404i | \(-0.602697\pi\) |
−0.779477 | + | 0.626431i | \(0.784515\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −9.38054 | −0.369933 | −0.184966 | − | 0.982745i | \(-0.559218\pi\) | ||||
−0.184966 | + | 0.982745i | \(0.559218\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −8.77452 | −0.345496 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 3.69096 | + | 1.08376i | 0.145106 | + | 0.0426071i | 0.353479 | − | 0.935442i | \(-0.384999\pi\) |
−0.208373 | + | 0.978049i | \(0.566817\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 38.4140 | − | 24.6872i | 1.50788 | − | 0.969057i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.296825 | + | 2.06446i | −0.0116335 | + | 0.0809126i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 12.9455 | + | 8.31956i | 0.506596 | + | 0.325569i | 0.768850 | − | 0.639429i | \(-0.220829\pi\) |
−0.262254 | + | 0.964999i | \(0.584466\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.71279 | − | 3.75048i | −0.0669242 | − | 0.146543i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0.00286515 | + | 0.0199276i | 0.000111780 | + | 0.000777448i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 47.3276 | − | 13.8966i | 1.84362 | − | 0.541336i | 0.843632 | − | 0.536923i | \(-0.180413\pi\) |
0.999990 | − | 0.00441364i | \(-0.00140491\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.56387 | + | 11.0373i | −0.371991 | + | 0.429301i | −0.910621 | − | 0.413241i | \(-0.864397\pi\) |
0.538630 | + | 0.842542i | \(0.318942\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 13.0195 | + | 15.0253i | 0.505636 | + | 0.583535i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.239463 | + | 0.524352i | −0.00928599 | + | 0.0203335i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 21.5676 | − | 21.2540i | 0.835102 | − | 0.822958i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 3.96997 | − | 8.69303i | 0.153488 | − | 0.336092i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 32.3130 | + | 37.2912i | 1.24743 | + | 1.43961i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 28.2862 | − | 32.6440i | 1.09035 | − | 1.25833i | 0.126479 | − | 0.991969i | \(-0.459632\pi\) |
0.963873 | − | 0.266363i | \(-0.0858221\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 21.7175 | − | 6.37683i | 0.835907 | − | 0.245444i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 2.07110 | + | 14.4048i | 0.0795988 | + | 0.553622i | 0.990127 | + | 0.140175i | \(0.0447664\pi\) |
−0.910528 | + | 0.413448i | \(0.864325\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.14673 | + | 2.51098i | 0.0440073 | + | 0.0963626i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 4.20376 | + | 2.70159i | 0.161088 | + | 0.103525i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 0.994794 | − | 6.91895i | 0.0380647 | − | 0.264746i | −0.961898 | − | 0.273410i | \(-0.911849\pi\) |
0.999962 | + | 0.00866340i | \(0.00275768\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −12.1651 | + | 7.81801i | −0.464803 | + | 0.298711i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 6.40350 | + | 1.88024i | 0.244309 | + | 0.0717355i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 20.5002 | 0.780996 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.5417 | −0.857526 | −0.428763 | − | 0.903417i | \(-0.641050\pi\) | ||||
−0.428763 | + | 0.903417i | \(0.641050\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.0813128 | + | 0.0238756i | 0.00308882 | + | 0.000906959i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 10.7072 | − | 6.88110i | 0.406147 | − | 0.261015i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.54735 | − | 17.7172i | 0.0964878 | − | 0.671088i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 22.6402 | + | 14.5500i | 0.856331 | + | 0.550331i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 19.7188 | + | 43.1781i | 0.744768 | + | 1.63082i | 0.775548 | + | 0.631289i | \(0.217474\pi\) |
−0.0307792 | + | 0.999526i | \(0.509799\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.41718 | − | 30.7221i | −0.166597 | − | 1.15871i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.55627 | + | 0.456962i | −0.0586125 | + | 0.0172102i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.491895 | + | 0.567677i | −0.0184996 | + | 0.0213497i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.65401 | − | 5.37101i | −0.174785 | − | 0.201713i | 0.661597 | − | 0.749859i | \(-0.269879\pi\) |
−0.836382 | + | 0.548147i | \(0.815333\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.0437596 | − | 0.0958202i | 0.00164111 | − | 0.00359354i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −27.8597 | + | 5.84715i | −1.04336 | + | 0.218977i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.08505 | + | 11.1347i | −0.190170 | + | 0.416414i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 1.41025 | + | 1.62752i | 0.0526667 | + | 0.0607807i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −20.8656 | + | 24.0801i | −0.778154 | + | 0.898037i | −0.996975 | − | 0.0777277i | \(-0.975234\pi\) |
0.218821 | + | 0.975765i | \(0.429779\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.06202 | − | 0.899091i | 0.114036 | − | 0.0334839i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −1.46965 | − | 10.2216i | −0.0546568 | − | 0.380146i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −11.6431 | − | 25.4948i | −0.432413 | − | 0.946853i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 30.6547 | + | 19.7006i | 1.13692 | + | 0.730655i | 0.966993 | − | 0.254802i | \(-0.0820103\pi\) |
0.169928 | + | 0.985457i | \(0.445647\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −3.69510 | + | 25.7000i | −0.136855 | + | 0.951851i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 15.2562 | − | 9.80459i | 0.564272 | − | 0.362636i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.19047 | + | 0.349555i | 0.0439712 | + | 0.0129111i | 0.303644 | − | 0.952786i | \(-0.401797\pi\) |
−0.259673 | + | 0.965697i | \(0.583615\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −9.18955 | −0.338962 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 8.18775 | 0.301600 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −32.7209 | − | 9.60774i | −1.20366 | − | 0.353426i | −0.382408 | − | 0.923993i | \(-0.624905\pi\) |
−0.821251 | + | 0.570567i | \(0.806723\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 23.6664 | − | 15.2095i | 0.869407 | − | 0.558734i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 4.57221 | − | 31.8004i | 0.167738 | − | 1.16664i | −0.715807 | − | 0.698298i | \(-0.753941\pi\) |
0.883545 | − | 0.468346i | \(-0.155150\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −12.6206 | − | 8.11080i | −0.462385 | − | 0.297157i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0.247595 | + | 0.542157i | 0.00905901 | + | 0.0198365i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −0.340998 | − | 2.37170i | −0.0124598 | − | 0.0866599i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −50.6689 | + | 14.8777i | −1.84894 | + | 0.542897i | −0.849042 | + | 0.528325i | \(0.822820\pi\) |
−0.999894 | + | 0.0145711i | \(0.995362\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 15.4185 | − | 17.7939i | 0.561881 | − | 0.648446i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −1.78301 | − | 2.05770i | −0.0648904 | − | 0.0748875i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.09081 | − | 2.38854i | 0.0396461 | − | 0.0868129i | −0.888773 | − | 0.458348i | \(-0.848441\pi\) |
0.928419 | + | 0.371535i | \(0.121169\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 2.14064 | + | 33.3623i | 0.0777005 | + | 1.21097i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 0.934686 | − | 2.04668i | 0.0338823 | − | 0.0741920i | −0.891934 | − | 0.452165i | \(-0.850652\pi\) |
0.925816 | + | 0.377973i | \(0.123379\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.80472 | − | 2.08276i | −0.0653354 | − | 0.0754010i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.143895 | + | 0.166064i | −0.00520254 | + | 0.00600405i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −45.7931 | + | 13.4461i | −1.65349 | + | 0.485510i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −4.78019 | − | 33.2470i | −0.172378 | − | 1.19892i | −0.873841 | − | 0.486211i | \(-0.838379\pi\) |
0.701463 | − | 0.712706i | \(-0.252531\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.13738 | + | 4.68020i | 0.0769757 | + | 0.168553i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −0.00440295 | − | 0.00282961i | −0.000158363 | − | 0.000101774i | 0.540562 | − | 0.841304i | \(-0.318212\pi\) |
−0.540720 | + | 0.841203i | \(0.681848\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.74985 | + | 26.0808i | −0.134699 | + | 0.936849i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −2.37615 | + | 1.52706i | −0.0852438 | + | 0.0547828i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −24.3019 | − | 7.13568i | −0.870705 | − | 0.255662i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −34.1295 | −1.22125 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 32.1939 | 1.15052 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.62254 | + | 0.770048i | 0.0936025 | + | 0.0274842i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −19.2968 | + | 12.4013i | −0.687858 | + | 0.442060i | −0.837324 | − | 0.546707i | \(-0.815881\pi\) |
0.149466 | + | 0.988767i | \(0.452245\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −6.87822 | + | 47.8391i | −0.244871 | + | 1.70312i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.394698 | − | 0.253657i | −0.0140338 | − | 0.00901899i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −21.4243 | − | 46.9127i | −0.760799 | − | 1.66592i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0.931974 | + | 6.48202i | 0.0330537 | + | 0.229894i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −21.3480 | + | 6.26833i | −0.756184 | + | 0.222036i | −0.637029 | − | 0.770840i | \(-0.719837\pi\) |
−0.119155 | + | 0.992876i | \(0.538019\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.19528 | − | 2.53348i | 0.0776633 | − | 0.0896282i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1.19366 | − | 1.37756i | −0.0421759 | − | 0.0486736i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.307601 | − | 0.673552i | 0.0108550 | − | 0.0237691i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.245287 | + | 0.672644i | 0.00864522 | + | 0.0237076i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 20.9791 | − | 45.9379i | 0.738500 | − | 1.61709i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −6.53840 | − | 7.54571i | −0.229878 | − | 0.265293i | 0.629079 | − | 0.777342i | \(-0.283432\pi\) |
−0.858957 | + | 0.512048i | \(0.828887\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −0.915373 | + | 1.05640i | −0.0321431 | + | 0.0370951i | −0.771593 | − | 0.636116i | \(-0.780540\pi\) |
0.739450 | + | 0.673211i | \(0.235085\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −9.81262 | + | 2.88125i | −0.344144 | + | 0.101050i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 2.56319 | + | 17.8273i | 0.0897845 | + | 0.624465i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −10.6601 | − | 23.3424i | −0.372950 | − | 0.816648i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.0745144 | − | 0.0478875i | −0.00260374 | − | 0.00167332i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 2.18608 | − | 15.2045i | 0.0762947 | − | 0.530641i | −0.915452 | − | 0.402427i | \(-0.868167\pi\) |
0.991747 | − | 0.128214i | \(-0.0409243\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −10.0399 | + | 6.45226i | −0.349970 | + | 0.224912i | −0.703801 | − | 0.710398i | \(-0.748515\pi\) |
0.353831 | + | 0.935309i | \(0.384879\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 29.6904 | + | 8.71789i | 1.03369 | + | 0.303518i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.6154 | 1.27324 | 0.636621 | − | 0.771177i | \(-0.280332\pi\) | ||||
0.636621 | + | 0.771177i | \(0.280332\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −28.4161 | −0.986933 | −0.493467 | − | 0.869765i | \(-0.664270\pi\) | ||||
−0.493467 | + | 0.869765i | \(0.664270\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 38.3581 | + | 11.2630i | 1.33063 | + | 0.390708i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 15.9779 | − | 10.2683i | 0.553600 | − | 0.355777i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.52682 | − | 10.6192i | 0.0528377 | − | 0.367494i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −25.4611 | − | 16.3629i | −0.880066 | − | 0.565584i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −4.79384 | − | 10.4970i | −0.165502 | − | 0.362398i | 0.808651 | − | 0.588289i | \(-0.200198\pi\) |
−0.974153 | + | 0.225891i | \(0.927471\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.54625 | − | 10.7544i | −0.0533189 | − | 0.370841i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −32.6294 | + | 9.58084i | −1.12381 | + | 0.329982i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 2.00224 | − | 2.31071i | 0.0688793 | − | 0.0794910i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.605287 | − | 0.698539i | −0.0207979 | − | 0.0240021i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −14.7095 | + | 32.2094i | −0.504830 | + | 1.10542i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −30.6915 | − | 23.3280i | −1.05209 | − | 0.799675i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.95257 | − | 6.46524i | 0.101094 | − | 0.221365i | −0.852326 | − | 0.523011i | \(-0.824809\pi\) |
0.953420 | + | 0.301646i | \(0.0975359\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.203613 | + | 0.234982i | 0.00696342 | + | 0.00803621i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −27.3112 | + | 31.5188i | −0.932932 | + | 1.07666i | 0.0639652 | + | 0.997952i | \(0.479625\pi\) |
−0.996898 | + | 0.0787093i | \(0.974920\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 47.3563 | − | 13.9051i | 1.61578 | − | 0.474435i | 0.655898 | − | 0.754849i | \(-0.272290\pi\) |
0.959879 | + | 0.280415i | \(0.0904719\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.328020 | + | 2.28143i | 0.0111789 | + | 0.0777508i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 9.42020 | + | 20.6274i | 0.320667 | + | 0.702163i | 0.999483 | − | 0.0321451i | \(-0.0102339\pi\) |
−0.678816 | + | 0.734308i | \(0.737507\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.55010 | + | 4.20949i | 0.222710 | + | 0.143127i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −2.39682 | + | 16.6703i | −0.0814003 | + | 0.566151i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −3.25932 | + | 2.09463i | −0.110565 | + | 0.0710556i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −8.21111 | − | 2.41100i | −0.278223 | − | 0.0816936i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 1.48894 | 0.0503930 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 1.40916 | 0.0476383 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 14.2666 | + | 4.18907i | 0.481751 | + | 0.141455i | 0.513585 | − | 0.858038i | \(-0.328317\pi\) |
−0.0318350 | + | 0.999493i | \(0.510135\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 11.9610 | − | 7.68686i | 0.403434 | − | 0.259271i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 5.39621 | − | 37.5314i | 0.181803 | − | 1.26447i | −0.670694 | − | 0.741734i | \(-0.734004\pi\) |
0.852497 | − | 0.522732i | \(-0.175087\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 25.1987 | + | 16.1942i | 0.848003 | + | 0.544978i | 0.890951 | − | 0.454099i | \(-0.150039\pi\) |
−0.0429485 | + | 0.999077i | \(0.513675\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −6.33338 | − | 13.8682i | −0.212894 | − | 0.466174i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 3.99431 | + | 27.7810i | 0.134116 | + | 0.932795i | 0.940110 | + | 0.340872i | \(0.110722\pi\) |
−0.805994 | + | 0.591924i | \(0.798369\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.75692 | − | 0.515878i | 0.0589252 | − | 0.0173020i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −24.1114 | + | 27.8260i | −0.807762 | + | 0.932207i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −3.10634 | − | 3.58490i | −0.103950 | − | 0.119964i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.101009 | − | 0.221180i | 0.00337637 | − | 0.00739323i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 7.67726 | − | 34.0878i | 0.256336 | − | 1.13816i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −15.5687 | + | 34.0906i | −0.519244 | + | 1.13699i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.86339 | − | 10.2289i | −0.295282 | − | 0.340774i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −1.52926 | + | 1.76486i | −0.0508905 | + | 0.0587307i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 9.20744 | − | 2.70355i | 0.306066 | − | 0.0898690i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.27443 | − | 22.7742i | −0.108726 | − | 0.756204i | −0.969123 | − | 0.246579i | \(-0.920693\pi\) |
0.860397 | − | 0.509624i | \(-0.170216\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0.168308 | + | 0.368543i | 0.00558243 | + | 0.0122238i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −1.52588 | − | 0.980622i | −0.0505546 | − | 0.0324894i | 0.515119 | − | 0.857118i | \(-0.327748\pi\) |
−0.565674 | + | 0.824629i | \(0.691384\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.11973 | − | 21.6982i | 0.103248 | − | 0.718106i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 13.8595 | − | 8.90694i | 0.458180 | − | 0.294454i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −1.05286 | − | 0.309148i | −0.0347686 | − | 0.0102090i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −20.8392 | −0.687421 | −0.343711 | − | 0.939076i | \(-0.611684\pi\) | ||||
−0.343711 | + | 0.939076i | \(0.611684\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 17.5454 | 0.578142 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 34.2269 | + | 10.0499i | 1.12659 | + | 0.330798i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −30.0183 | + | 19.2916i | −0.986997 | + | 0.634304i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.244972 | − | 1.70382i | 0.00804593 | − | 0.0559607i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 42.6229 | + | 27.3921i | 1.39841 | + | 0.898705i | 0.999830 | − | 0.0184284i | \(-0.00586627\pi\) |
0.398581 | + | 0.917133i | \(0.369503\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −11.1643 | − | 24.4465i | −0.365897 | − | 0.801202i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 7.98953 | + | 55.5684i | 0.261566 | + | 1.81923i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 7.75438 | − | 2.27689i | 0.253595 | − | 0.0744623i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −9.51089 | + | 10.9762i | −0.310707 | + | 0.358575i | −0.889529 | − | 0.456879i | \(-0.848967\pi\) |
0.578822 | + | 0.815454i | \(0.303513\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −5.55713 | − | 6.41327i | −0.181350 | − | 0.209289i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 5.76599 | − | 12.6258i | 0.187966 | − | 0.411588i | −0.792064 | − | 0.610438i | \(-0.790993\pi\) |
0.980030 | + | 0.198850i | \(0.0637207\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −27.7201 | + | 14.8738i | −0.902690 | + | 0.484357i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.316222 | + | 0.692429i | −0.0102867 | + | 0.0225247i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −8.95280 | − | 10.3321i | −0.290927 | − | 0.335748i | 0.591405 | − | 0.806374i | \(-0.298573\pi\) |
−0.882332 | + | 0.470627i | \(0.844028\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.506815 | + | 0.584896i | −0.0164519 | + | 0.0189865i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 24.7123 | − | 7.25620i | 0.801353 | − | 0.235298i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −2.15742 | − | 15.0052i | −0.0698856 | − | 0.486065i | −0.994464 | − | 0.105074i | \(-0.966492\pi\) |
0.924579 | − | 0.380991i | \(-0.124417\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.322821 | + | 0.706880i | 0.0104462 | + | 0.0228741i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 37.0260 | + | 23.7952i | 1.19688 | + | 0.769189i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −0.547704 | + | 3.80936i | −0.0176863 | + | 0.123011i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.56083 | − | 2.28840i | 0.114865 | − | 0.0738195i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −1.24006 | − | 0.364115i | −0.0399605 | − | 0.0117334i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 9.75057 | 0.313882 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 60.8825 | 1.95785 | 0.978925 | − | 0.204220i | \(-0.0654658\pi\) | ||||
0.978925 | + | 0.204220i | \(0.0654658\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −17.8213 | − | 5.23281i | −0.572503 | − | 0.168102i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 24.2246 | − | 15.5682i | 0.777404 | − | 0.499607i | −0.0907672 | − | 0.995872i | \(-0.528932\pi\) |
0.868171 | + | 0.496265i | \(0.165296\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.482067 | − | 3.35285i | 0.0154544 | − | 0.107487i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −27.2080 | − | 17.4855i | −0.871354 | − | 0.559985i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 0.990600 | + | 2.16911i | 0.0316921 | + | 0.0693960i | 0.924816 | − | 0.380415i | \(-0.124219\pi\) |
−0.893124 | + | 0.449811i | \(0.851491\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9.54090 | + | 66.3584i | 0.304929 | + | 2.12083i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.42627 | + | 0.418792i | −0.0455374 | + | 0.0133710i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 28.3870 | − | 32.7603i | 0.905403 | − | 1.04489i | −0.0933826 | − | 0.995630i | \(-0.529768\pi\) |
0.998786 | − | 0.0492609i | \(-0.0156866\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 5.94730 | + | 6.86354i | 0.189497 | + | 0.218691i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.179322 | + | 0.392660i | −0.00570788 | + | 0.0124985i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −29.7807 | − | 11.3568i | −0.946972 | − | 0.361125i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.73170 | + | 5.98159i | −0.0867754 | + | 0.190012i | −0.948045 | − | 0.318137i | \(-0.896943\pi\) |
0.861269 | + | 0.508149i | \(0.169670\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −8.30980 | − | 9.59002i | −0.263704 | − | 0.304330i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.0241858 | − | 0.0279119i | 0.000766741 | − | 0.000884867i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 28.4706 | − | 8.35971i | 0.901672 | − | 0.264755i | 0.202141 | − | 0.979357i | \(-0.435210\pi\) |
0.699532 | + | 0.714602i | \(0.253392\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −5.83307 | − | 40.5699i | −0.184550 | − | 1.28358i |
(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 | 92.2.e.a.29.2 | ✓ | 20 | |
3.2 | odd | 2 | 828.2.q.a.397.2 | 20 | |||
4.3 | odd | 2 | 368.2.m.d.305.1 | 20 | |||
23.2 | even | 11 | 2116.2.a.j.1.3 | 10 | |||
23.4 | even | 11 | inner | 92.2.e.a.73.2 | yes | 20 | |
23.21 | odd | 22 | 2116.2.a.i.1.3 | 10 | |||
69.50 | odd | 22 | 828.2.q.a.73.2 | 20 | |||
92.27 | odd | 22 | 368.2.m.d.257.1 | 20 | |||
92.67 | even | 22 | 8464.2.a.cd.1.8 | 10 | |||
92.71 | odd | 22 | 8464.2.a.ce.1.8 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
92.2.e.a.29.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
92.2.e.a.73.2 | yes | 20 | 23.4 | even | 11 | inner | |
368.2.m.d.257.1 | 20 | 92.27 | odd | 22 | |||
368.2.m.d.305.1 | 20 | 4.3 | odd | 2 | |||
828.2.q.a.73.2 | 20 | 69.50 | odd | 22 | |||
828.2.q.a.397.2 | 20 | 3.2 | odd | 2 | |||
2116.2.a.i.1.3 | 10 | 23.21 | odd | 22 | |||
2116.2.a.j.1.3 | 10 | 23.2 | even | 11 | |||
8464.2.a.cd.1.8 | 10 | 92.67 | even | 22 | |||
8464.2.a.ce.1.8 | 10 | 92.71 | odd | 22 |