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 | 33.5 | ||
Character | \(\chi\) | \(=\) | 280.33 |
Dual form | 280.2.bo.a.17.5 |
$q$-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 | ||||||||
\(3\) | −1.16710 | − | 0.312724i | −0.673828 | − | 0.180552i | −0.0943492 | − | 0.995539i | \(-0.530077\pi\) |
−0.579478 | + | 0.814988i | \(0.696744\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.121837 | + | 2.23275i | −0.0544873 | + | 0.998514i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.59977 | − | 0.491095i | −0.982622 | − | 0.185617i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.33374 | − | 0.770036i | −0.444581 | − | 0.256679i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.67933 | − | 2.90869i | −0.506338 | − | 0.877003i | −0.999973 | − | 0.00733373i | \(-0.997666\pi\) |
0.493635 | − | 0.869669i | \(-0.335668\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.92389 | + | 2.92389i | −0.810941 | + | 0.810941i | −0.984775 | − | 0.173834i | \(-0.944384\pi\) |
0.173834 | + | 0.984775i | \(0.444384\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.840431 | − | 2.56774i | 0.216998 | − | 0.662989i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.0694548 | − | 0.259209i | 0.0168453 | − | 0.0628674i | −0.956992 | − | 0.290116i | \(-0.906306\pi\) |
0.973837 | + | 0.227248i | \(0.0729729\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.458405 | + | 0.793981i | −0.105165 | + | 0.182152i | −0.913806 | − | 0.406152i | \(-0.866871\pi\) |
0.808640 | + | 0.588303i | \(0.200204\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.88063 | + | 1.38617i | 0.628605 | + | 0.302488i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −7.58021 | + | 2.03111i | −1.58058 | + | 0.423516i | −0.939106 | − | 0.343627i | \(-0.888344\pi\) |
−0.641476 | + | 0.767143i | \(0.721678\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.97031 | − | 0.544063i | −0.994062 | − | 0.108813i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3.87894 | + | 3.87894i | 0.746503 | + | 0.746503i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.31878i | 0.244892i | 0.992475 | + | 0.122446i | \(0.0390737\pi\) | ||||
−0.992475 | + | 0.122446i | \(0.960926\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.25671 | − | 1.88026i | 0.584923 | − | 0.337705i | −0.178165 | − | 0.984001i | \(-0.557016\pi\) |
0.763087 | + | 0.646295i | \(0.223683\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.05034 | + | 3.91991i | 0.182840 | + | 0.682369i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.41324 | − | 5.74480i | 0.238881 | − | 0.971049i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.11773 | + | 7.90347i | 0.348153 | + | 1.29932i | 0.888886 | + | 0.458129i | \(0.151480\pi\) |
−0.540733 | + | 0.841194i | \(0.681853\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 4.32685 | − | 2.49811i | 0.692851 | − | 0.400018i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 5.65819i | − | 0.883661i | −0.897098 | − | 0.441831i | \(-0.854329\pi\) | ||
0.897098 | − | 0.441831i | \(-0.145671\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.61631 | − | 2.61631i | −0.398984 | − | 0.398984i | 0.478891 | − | 0.877875i | \(-0.341039\pi\) |
−0.877875 | + | 0.478891i | \(0.841039\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.88180 | − | 2.88409i | 0.280521 | − | 0.429934i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.911807 | + | 0.244318i | −0.133001 | + | 0.0356374i | −0.324705 | − | 0.945815i | \(-0.605265\pi\) |
0.191705 | + | 0.981453i | \(0.438598\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.51765 | + | 2.55347i | 0.931093 | + | 0.364782i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.162122 | + | 0.280803i | −0.0227016 | + | 0.0393203i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 3.49525 | − | 13.0444i | 0.480109 | − | 1.79179i | −0.121031 | − | 0.992649i | \(-0.538620\pi\) |
0.601140 | − | 0.799144i | \(-0.294713\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.69897 | − | 3.39514i | 0.903289 | − | 0.457800i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.783303 | − | 0.783303i | 0.103751 | − | 0.103751i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.91972 | + | 6.78916i | 0.510304 | + | 0.883873i | 0.999929 | + | 0.0119396i | \(0.00380059\pi\) |
−0.489624 | + | 0.871933i | \(0.662866\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 9.70077 | + | 5.60074i | 1.24206 | + | 0.717102i | 0.969513 | − | 0.245042i | \(-0.0788017\pi\) |
0.272544 | + | 0.962143i | \(0.412135\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.08927 | + | 2.65691i | 0.389211 | + | 0.334740i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −6.17206 | − | 6.88454i | −0.765550 | − | 0.853922i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.37983 | + | 1.44152i | 0.657251 | + | 0.176110i | 0.572005 | − | 0.820250i | \(-0.306166\pi\) |
0.0852461 | + | 0.996360i | \(0.472832\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 9.48206 | 1.14151 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −13.5245 | −1.60506 | −0.802532 | − | 0.596609i | \(-0.796514\pi\) | ||||
−0.802532 | + | 0.596609i | \(0.796514\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.33366 | − | 1.96505i | −0.858340 | − | 0.229992i | −0.197301 | − | 0.980343i | \(-0.563218\pi\) |
−0.661039 | + | 0.750351i | \(0.729884\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 5.63073 | + | 2.18932i | 0.650180 | + | 0.252800i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.93744 | + | 8.38665i | 0.334753 | + | 0.955747i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.87245 | − | 1.08106i | −0.210667 | − | 0.121629i | 0.390954 | − | 0.920410i | \(-0.372145\pi\) |
−0.601621 | + | 0.798781i | \(0.705478\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.00398 | − | 1.73894i | −0.111553 | − | 0.193216i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −5.49970 | + | 5.49970i | −0.603671 | + | 0.603671i | −0.941285 | − | 0.337614i | \(-0.890380\pi\) |
0.337614 | + | 0.941285i | \(0.390380\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.570285 | + | 0.186656i | 0.0618561 | + | 0.0202457i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.412415 | − | 1.53915i | 0.0442155 | − | 0.165015i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.34818 | + | 2.33512i | −0.142907 | + | 0.247523i | −0.928590 | − | 0.371107i | \(-0.878978\pi\) |
0.785683 | + | 0.618629i | \(0.212312\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.03736 | − | 6.16554i | 0.947372 | − | 0.646324i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.38892 | + | 1.17601i | −0.455110 | + | 0.121946i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.71691 | − | 1.12024i | −0.176151 | − | 0.114934i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.1018 | − | 10.1018i | −1.02568 | − | 1.02568i | −0.999661 | − | 0.0260207i | \(-0.991716\pi\) |
−0.0260207 | − | 0.999661i | \(-0.508284\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 5.17259i | 0.519865i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −14.7714 | + | 8.52827i | −1.46981 | + | 0.848594i | −0.999426 | − | 0.0338687i | \(-0.989217\pi\) |
−0.470382 | + | 0.882463i | \(0.655884\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.62827 | + | 17.2729i | 0.456037 | + | 1.70195i | 0.685022 | + | 0.728522i | \(0.259793\pi\) |
−0.228985 | + | 0.973430i | \(0.573541\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.44594 | + | 6.26282i | −0.336289 | + | 0.611189i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 2.05577 | + | 7.67224i | 0.198739 | + | 0.741703i | 0.991267 | + | 0.131868i | \(0.0420976\pi\) |
−0.792528 | + | 0.609835i | \(0.791236\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.5649 | − | 7.25433i | 1.20350 | − | 0.694839i | 0.242166 | − | 0.970235i | \(-0.422142\pi\) |
0.961331 | + | 0.275396i | \(0.0888089\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 9.88644i | − | 0.938379i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.46472 | − | 5.46472i | −0.514078 | − | 0.514078i | 0.401696 | − | 0.915773i | \(-0.368421\pi\) |
−0.915773 | + | 0.401696i | \(0.868421\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.61140 | − | 17.1721i | −0.336765 | − | 1.60131i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 6.15121 | − | 1.64821i | 0.568680 | − | 0.152377i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.307863 | + | 0.639775i | −0.0282217 | + | 0.0586481i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.140314 | + | 0.243031i | −0.0127558 | + | 0.0220938i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.76946 | + | 6.60370i | −0.159546 | + | 0.595435i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.82032 | − | 11.0312i | 0.162815 | − | 0.986657i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.91615 | − | 4.91615i | 0.436238 | − | 0.436238i | −0.454506 | − | 0.890744i | \(-0.650184\pi\) |
0.890744 | + | 0.454506i | \(0.150184\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.23532 | + | 3.87169i | 0.196809 | + | 0.340884i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −11.7319 | − | 6.77343i | −1.02502 | − | 0.591797i | −0.109468 | − | 0.993990i | \(-0.534915\pi\) |
−0.915555 | + | 0.402193i | \(0.868248\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.58167 | − | 1.83905i | 0.137148 | − | 0.159466i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −9.13330 | + | 8.18810i | −0.786069 | + | 0.704719i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −14.9165 | − | 3.99687i | −1.27441 | − | 0.341476i | −0.442688 | − | 0.896676i | \(-0.645975\pi\) |
−0.831717 | + | 0.555200i | \(0.812642\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.4513 | −0.886472 | −0.443236 | − | 0.896405i | \(-0.646170\pi\) | ||||
−0.443236 | + | 0.896405i | \(0.646170\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.14058 | 0.0960540 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 13.4149 | + | 3.59450i | 1.12181 | + | 0.300587i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.94450 | − | 0.160677i | −0.244528 | − | 0.0133435i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −6.80824 | − | 5.01840i | −0.561534 | − | 0.413910i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −13.7158 | − | 7.91884i | −1.12364 | − | 0.648737i | −0.181316 | − | 0.983425i | \(-0.558036\pi\) |
−0.942329 | + | 0.334688i | \(0.891369\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.90977 | + | 15.4322i | 0.725067 | + | 1.25585i | 0.958947 | + | 0.283587i | \(0.0915244\pi\) |
−0.233880 | + | 0.972265i | \(0.575142\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.292235 | + | 0.292235i | −0.0236258 | + | 0.0236258i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.80136 | + | 7.50050i | 0.305333 | + | 0.602454i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.38891 | + | 8.91553i | −0.190656 | + | 0.711537i | 0.802693 | + | 0.596392i | \(0.203400\pi\) |
−0.993349 | + | 0.115144i | \(0.963267\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −8.15863 | + | 14.1312i | −0.647022 | + | 1.12067i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 20.7043 | − | 1.55783i | 1.63173 | − | 0.122774i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.96978 | + | 2.40344i | −0.702567 | + | 0.188252i | −0.592380 | − | 0.805659i | \(-0.701812\pi\) |
−0.110187 | + | 0.993911i | \(0.535145\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −8.88013 | + | 1.86754i | −0.691317 | + | 0.145388i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.96983 | + | 2.96983i | 0.229812 | + | 0.229812i | 0.812614 | − | 0.582802i | \(-0.198044\pi\) |
−0.582802 | + | 0.812614i | \(0.698044\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 4.09824i | − | 0.315250i | ||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.22279 | − | 0.705977i | 0.0935089 | − | 0.0539874i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.18201 | − | 4.41132i | −0.0898665 | − | 0.335386i | 0.906325 | − | 0.422582i | \(-0.138876\pi\) |
−0.996191 | + | 0.0871956i | \(0.972209\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.6545 | + | 3.85534i | 0.956590 | + | 0.291436i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.45159 | − | 9.14944i | −0.184272 | − | 0.687714i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −7.21474 | + | 4.16543i | −0.539255 | + | 0.311339i | −0.744777 | − | 0.667313i | \(-0.767444\pi\) |
0.205522 | + | 0.978653i | \(0.434111\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 19.1591i | 1.42409i | 0.702135 | + | 0.712043i | \(0.252230\pi\) | ||||
−0.702135 | + | 0.712043i | \(0.747770\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −9.57031 | − | 9.57031i | −0.707458 | − | 0.707458i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −17.9045 | + | 3.76541i | −1.31636 | + | 0.276839i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.870595 | + | 0.233275i | −0.0636642 | + | 0.0170588i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −8.17945 | − | 11.9893i | −0.594967 | − | 0.872094i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.27127 | − | 3.93396i | 0.164344 | − | 0.284652i | −0.772078 | − | 0.635527i | \(-0.780783\pi\) |
0.936422 | + | 0.350876i | \(0.114116\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.32967 | − | 8.69445i | 0.167693 | − | 0.625840i | −0.829988 | − | 0.557781i | \(-0.811653\pi\) |
0.997681 | − | 0.0680587i | \(-0.0216805\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 5.05047 | + | 9.96512i | 0.361672 | + | 0.713617i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.71540 | − | 5.71540i | 0.407205 | − | 0.407205i | −0.473558 | − | 0.880763i | \(-0.657030\pi\) |
0.880763 | + | 0.473558i | \(0.157030\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.85652 | − | 11.8758i | −0.486046 | − | 0.841856i | 0.513826 | − | 0.857895i | \(-0.328228\pi\) |
−0.999871 | + | 0.0160388i | \(0.994894\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −5.82803 | − | 3.36481i | −0.411077 | − | 0.237336i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.647647 | − | 3.42853i | 0.0454559 | − | 0.240636i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 12.6333 | + | 0.689379i | 0.882349 | + | 0.0481483i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 11.6741 | + | 3.12806i | 0.811404 | + | 0.217415i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 3.07926 | 0.212997 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.27456 | −0.500802 | −0.250401 | − | 0.968142i | \(-0.580562\pi\) | ||||
−0.250401 | + | 0.968142i | \(0.580562\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 15.7845 | + | 4.22945i | 1.08154 | + | 0.289797i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 6.16033 | − | 5.52280i | 0.420131 | − | 0.376652i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −9.39010 | + | 3.28890i | −0.637442 | + | 0.223265i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 7.94462 | + | 4.58683i | 0.536848 | + | 0.309949i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.554819 | + | 0.960975i | 0.0373212 | + | 0.0646422i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.13514 | − | 3.13514i | 0.209945 | − | 0.209945i | −0.594299 | − | 0.804244i | \(-0.702571\pi\) |
0.804244 | + | 0.594299i | \(0.202571\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 6.21016 | + | 4.55296i | 0.414011 | + | 0.303531i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.113469 | − | 0.423472i | 0.00753121 | − | 0.0281069i | −0.962058 | − | 0.272845i | \(-0.912035\pi\) |
0.969589 | + | 0.244738i | \(0.0787020\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.98055 | + | 12.0907i | −0.461288 | + | 0.798974i | −0.999025 | − | 0.0441386i | \(-0.985946\pi\) |
0.537738 | + | 0.843112i | \(0.319279\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.805590 | − | 10.7067i | −0.0530039 | − | 0.704449i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 10.7647 | − | 2.88438i | 0.705217 | − | 0.188962i | 0.111651 | − | 0.993748i | \(-0.464386\pi\) |
0.593566 | + | 0.804785i | \(0.297720\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.434408 | − | 2.06560i | −0.0283377 | − | 0.134745i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.84727 | + | 1.84727i | 0.119993 | + | 0.119993i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.45924i | 0.159075i | 0.996832 | + | 0.0795376i | \(0.0253444\pi\) | ||||
−0.996832 | + | 0.0795376i | \(0.974656\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −15.7270 | + | 9.07999i | −1.01307 | + | 0.584893i | −0.912088 | − | 0.409995i | \(-0.865530\pi\) |
−0.100978 | + | 0.994889i | \(0.532197\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −3.63144 | − | 13.5527i | −0.232957 | − | 0.869407i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −6.49535 | + | 14.2412i | −0.414973 | + | 0.909834i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.981186 | − | 3.66184i | −0.0624314 | − | 0.232997i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 8.13862 | − | 4.69883i | 0.515764 | − | 0.297776i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 12.5983i | − | 0.795196i | −0.917560 | − | 0.397598i | \(-0.869844\pi\) | ||
0.917560 | − | 0.397598i | \(-0.130156\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 18.6376 | + | 18.6376i | 1.17173 | + | 1.17173i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.607210 | − | 0.396189i | −0.0380250 | − | 0.0248103i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 21.0068 | − | 5.62876i | 1.31037 | − | 0.351113i | 0.465008 | − | 0.885306i | \(-0.346051\pi\) |
0.845362 | + | 0.534194i | \(0.179385\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.62426 | − | 21.5872i | −0.100927 | − | 1.34137i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.01551 | − | 1.75891i | 0.0628584 | − | 0.108874i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 6.53630 | − | 24.3938i | 0.403046 | − | 1.50419i | −0.404586 | − | 0.914500i | \(-0.632584\pi\) |
0.807632 | − | 0.589687i | \(-0.200749\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 28.6991 | + | 9.39330i | 1.76297 | + | 0.577026i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.30372 | − | 2.30372i | 0.140985 | − | 0.140985i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 4.20486 | + | 7.28303i | 0.256375 | + | 0.444054i | 0.965268 | − | 0.261262i | \(-0.0841386\pi\) |
−0.708893 | + | 0.705316i | \(0.750805\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.55088 | − | 3.78215i | −0.397938 | − | 0.229749i | 0.287656 | − | 0.957734i | \(-0.407124\pi\) |
−0.685594 | + | 0.727984i | \(0.740457\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −12.4756 | + | 4.36962i | −0.755060 | + | 0.264462i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 6.76429 | + | 15.3708i | 0.407902 | + | 0.926891i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −14.7982 | − | 3.96518i | −0.889140 | − | 0.238244i | −0.214794 | − | 0.976659i | \(-0.568908\pi\) |
−0.674347 | + | 0.738415i | \(0.735575\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −5.79148 | −0.346727 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 24.6162 | 1.46848 | 0.734239 | − | 0.678891i | \(-0.237539\pi\) | ||||
0.734239 | + | 0.678891i | \(0.237539\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 23.6426 | + | 6.33503i | 1.40541 | + | 0.376578i | 0.880284 | − | 0.474447i | \(-0.157352\pi\) |
0.525125 | + | 0.851025i | \(0.324018\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1.65348 | + | 1.84435i | 0.0979438 | + | 0.109250i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −2.77871 | + | 14.7100i | −0.164022 | + | 0.868305i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.6601 | + | 8.46399i | 0.862357 | + | 0.497882i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 8.63076 | + | 14.9489i | 0.505944 | + | 0.876321i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −5.69984 | + | 5.69984i | −0.332988 | + | 0.332988i | −0.853720 | − | 0.520732i | \(-0.825659\pi\) |
0.520732 | + | 0.853720i | \(0.325659\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −15.6360 | + | 7.92457i | −0.910365 | + | 0.461386i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.76860 | − | 17.7967i | 0.276702 | − | 1.03267i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 16.2249 | − | 28.1024i | 0.938312 | − | 1.62520i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.51697 | + | 8.08668i | 0.317993 | + | 0.466109i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 19.9067 | − | 5.33400i | 1.14361 | − | 0.306430i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −13.6870 | + | 20.9770i | −0.783713 | + | 1.20114i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.652734 | − | 0.652734i | −0.0372535 | − | 0.0372535i | 0.688235 | − | 0.725488i | \(-0.258386\pi\) |
−0.725488 | + | 0.688235i | \(0.758386\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 21.6067i | − | 1.22916i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −6.75054 | + | 3.89743i | −0.382788 | + | 0.221003i | −0.679031 | − | 0.734110i | \(-0.737600\pi\) |
0.296243 | + | 0.955113i | \(0.404266\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.897622 | − | 3.34997i | −0.0507366 | − | 0.189352i | 0.935906 | − | 0.352249i | \(-0.114583\pi\) |
−0.986643 | + | 0.162897i | \(0.947916\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −6.30860 | + | 6.57384i | −0.355450 | + | 0.370394i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −0.210260 | − | 0.784701i | −0.0118094 | − | 0.0440732i | 0.959770 | − | 0.280788i | \(-0.0905959\pi\) |
−0.971579 | + | 0.236715i | \(0.923929\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.83592 | − | 2.21467i | 0.214771 | − | 0.123998i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 9.59719i | − | 0.535663i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.173968 | + | 0.173968i | 0.00967986 | + | 0.00967986i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 16.1234 | − | 12.9419i | 0.894366 | − | 0.717885i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −16.9331 | + | 4.53721i | −0.936403 | + | 0.250909i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 2.49048 | − | 0.187388i | 0.137304 | − | 0.0103310i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.79902 | − | 13.5083i | 0.428673 | − | 0.742483i | −0.568083 | − | 0.822972i | \(-0.692315\pi\) |
0.996756 | + | 0.0804881i | \(0.0256479\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 3.26146 | − | 12.1719i | 0.178727 | − | 0.667017i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.87402 | + | 11.8362i | −0.211660 | + | 0.646679i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.2052 | + | 12.2052i | −0.664861 | + | 0.664861i | −0.956522 | − | 0.291661i | \(-0.905792\pi\) |
0.291661 | + | 0.956522i | \(0.405792\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 4.66894 | + | 8.08685i | 0.253582 | + | 0.439217i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −10.9382 | − | 6.31517i | −0.592337 | − | 0.341986i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −15.6904 | − | 9.83924i | −0.847203 | − | 0.531269i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.15527 | + | 21.1710i | −0.0621976 | + | 1.13981i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −14.7477 | − | 3.95163i | −0.791697 | − | 0.212134i | −0.159761 | − | 0.987156i | \(-0.551072\pi\) |
−0.631935 | + | 0.775021i | \(0.717739\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −35.5955 | −1.90538 | −0.952692 | − | 0.303938i | \(-0.901698\pi\) | ||||
−0.952692 | + | 0.303938i | \(0.901698\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −22.6832 | −1.21074 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 6.13426 | + | 1.64367i | 0.326494 | + | 0.0874838i | 0.418343 | − | 0.908289i | \(-0.362611\pi\) |
−0.0918490 | + | 0.995773i | \(0.529278\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.64779 | − | 30.1968i | 0.0874556 | − | 1.60268i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.559381 | − | 0.650408i | 0.0296056 | − | 0.0344232i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −26.6079 | − | 15.3621i | −1.40431 | − | 0.810780i | −0.409481 | − | 0.912319i | \(-0.634290\pi\) |
−0.994832 | + | 0.101539i | \(0.967623\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.07973 | + | 15.7266i | 0.477881 | + | 0.827713i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.239763 | − | 0.239763i | 0.0125843 | − | 0.0125843i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.28097 | − | 16.1348i | 0.276418 | − | 0.844533i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.38683 | − | 35.0321i | 0.489988 | − | 1.82866i | −0.0664728 | − | 0.997788i | \(-0.521175\pi\) |
0.556461 | − | 0.830874i | \(-0.312159\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −4.35701 | + | 7.54657i | −0.226817 | + | 0.392859i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −15.4929 | + | 32.1961i | −0.804352 | + | 1.67154i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.7087 | − | 3.94120i | 0.761590 | − | 0.204067i | 0.142937 | − | 0.989732i | \(-0.454345\pi\) |
0.618653 | + | 0.785664i | \(0.287679\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5.57422 | + | 12.3052i | −0.287851 | + | 0.635440i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −3.85597 | − | 3.85597i | −0.198592 | − | 0.198592i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 31.6560i | 1.62606i | 0.582221 | + | 0.813030i | \(0.302184\pi\) | ||||
−0.582221 | + | 0.813030i | \(0.697816\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −7.27506 | + | 4.20026i | −0.372713 | + | 0.215186i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 5.44366 | + | 20.3160i | 0.278158 | + | 1.03810i | 0.953695 | + | 0.300774i | \(0.0972450\pi\) |
−0.675537 | + | 0.737326i | \(0.736088\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −19.0831 | + | 5.53676i | −0.972567 | + | 0.282179i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.47483 | + | 5.50414i | 0.0749699 | + | 0.279791i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −26.4709 | + | 15.2830i | −1.34213 | + | 0.774877i | −0.987119 | − | 0.159986i | \(-0.948855\pi\) |
−0.355007 | + | 0.934864i | \(0.615522\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.10593i | 0.106501i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 11.5742 | + | 11.5742i | 0.583839 | + | 0.583839i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 2.64187 | − | 4.04899i | 0.132927 | − | 0.203727i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.67997 | + | 0.986045i | −0.184692 | + | 0.0494882i | −0.349980 | − | 0.936757i | \(-0.613812\pi\) |
0.165287 | + | 0.986245i | \(0.447145\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −2.42109 | + | 1.65174i | −0.121206 | + | 0.0826902i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.34357 | − | 9.25534i | 0.266845 | − | 0.462190i | −0.701200 | − | 0.712964i | \(-0.747352\pi\) |
0.968045 | + | 0.250775i | \(0.0806854\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.02458 | + | 15.0199i | −0.200479 | + | 0.748196i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 4.00494 | − | 2.02976i | 0.199007 | − | 0.100860i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 19.4324 | − | 19.4324i | 0.963227 | − | 0.963227i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.24386 | + | 7.35057i | 0.209845 | + | 0.363463i | 0.951666 | − | 0.307136i | \(-0.0993707\pi\) |
−0.741820 | + | 0.670599i | \(0.766037\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 16.1592 | + | 9.32953i | 0.797075 | + | 0.460192i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −6.85627 | − | 19.5752i | −0.337375 | − | 0.963234i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −11.6094 | − | 12.9495i | −0.569882 | − | 0.635667i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 12.1978 | + | 3.26839i | 0.597329 | + | 0.160054i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −23.6626 | −1.15599 | −0.577997 | − | 0.816039i | \(-0.696165\pi\) | ||||
−0.577997 | + | 0.816039i | \(0.696165\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −18.3661 | −0.895110 | −0.447555 | − | 0.894256i | \(-0.647705\pi\) | ||||
−0.447555 | + | 0.894256i | \(0.647705\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 1.40425 | + | 0.376267i | 0.0682769 | + | 0.0182948i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.486238 | + | 1.25056i | −0.0235860 | + | 0.0606611i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −22.4693 | − | 19.3247i | −1.08737 | − | 0.935186i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −14.5324 | − | 8.39031i | −0.701633 | − | 0.405088i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 15.2748 | + | 26.4567i | 0.735761 | + | 1.27438i | 0.954389 | + | 0.298567i | \(0.0965087\pi\) |
−0.218628 | + | 0.975808i | \(0.570158\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −15.7711 | + | 15.7711i | −0.757910 | + | 0.757910i | −0.975942 | − | 0.218032i | \(-0.930036\pi\) |
0.218032 | + | 0.975942i | \(0.430036\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.38629 | + | 1.10834i | 0.162360 | + | 0.0531411i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.86214 | − | 6.94961i | 0.0890783 | − | 0.332445i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 11.9294 | − | 20.6623i | 0.569357 | − | 0.986155i | −0.427273 | − | 0.904123i | \(-0.640526\pi\) |
0.996630 | − | 0.0820326i | \(-0.0261412\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.72660 | − | 8.42450i | −0.320314 | − | 0.401167i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 25.7705 | − | 6.90519i | 1.22439 | − | 0.328075i | 0.411999 | − | 0.911184i | \(-0.364831\pi\) |
0.812394 | + | 0.583109i | \(0.198164\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.04948 | − | 3.29466i | −0.239368 | − | 0.156182i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 13.5314 | + | 13.5314i | 0.640012 | + | 0.640012i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 8.15718i | 0.384961i | 0.981301 | + | 0.192481i | \(0.0616533\pi\) | ||||
−0.981301 | + | 0.192481i | \(0.938347\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −16.4579 | + | 9.50199i | −0.774973 | + | 0.447431i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −5.57261 | − | 20.7972i | −0.261824 | − | 0.977140i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 12.6650 | + | 20.9293i | 0.593745 | + | 0.981181i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.694650 | − | 2.59247i | −0.0324943 | − | 0.121271i | 0.947774 | − | 0.318944i | \(-0.103328\pi\) |
−0.980268 | + | 0.197673i | \(0.936661\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.27487 | − | 0.736045i | 0.0595057 | − | 0.0343556i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 18.0493i | − | 0.840641i | −0.907376 | − | 0.420321i | \(-0.861918\pi\) | ||
0.907376 | − | 0.420321i | \(-0.138082\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.2907 | + | 13.2907i | 0.617672 | + | 0.617672i | 0.944934 | − | 0.327261i | \(-0.106126\pi\) |
−0.327261 | + | 0.944934i | \(0.606126\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.09099 | − | 9.94263i | −0.0969675 | − | 0.461079i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 2.71031 | − | 0.726226i | 0.125418 | − | 0.0336057i | −0.195564 | − | 0.980691i | \(-0.562654\pi\) |
0.320982 | + | 0.947085i | \(0.395987\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.2784 | − | 6.38964i | −0.613141 | − | 0.295046i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 5.57621 | − | 9.65827i | 0.256938 | − | 0.445030i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3.21638 | + | 12.0037i | −0.147889 | + | 0.551931i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.71039 | − | 3.69693i | 0.124361 | − | 0.169627i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −14.7065 | + | 14.7065i | −0.673362 | + | 0.673362i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 13.6489 | + | 23.6406i | 0.623634 | + | 1.08017i | 0.988803 | + | 0.149224i | \(0.0476777\pi\) |
−0.365170 | + | 0.930941i | \(0.618989\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −29.3009 | − | 16.9169i | −1.33600 | − | 0.771343i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −24.6512 | − | 4.65660i | −1.12167 | − | 0.211882i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 23.7855 | − | 21.3240i | 1.08005 | − | 0.968272i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −29.2231 | − | 7.83031i | −1.32422 | − | 0.354825i | −0.473666 | − | 0.880705i | \(-0.657070\pi\) |
−0.850559 | + | 0.525880i | \(0.823736\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 11.2203 | 0.507398 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 17.8214 | 0.804270 | 0.402135 | − | 0.915580i | \(-0.368268\pi\) | ||||
0.402135 | + | 0.915580i | \(0.368268\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.341840 | + | 0.0915956i | 0.0153957 | + | 0.00412526i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −11.5491 | − | 0.630214i | −0.519092 | − | 0.0283260i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 35.1607 | + | 6.64182i | 1.57717 | + | 0.297926i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 26.1405 | + | 15.0922i | 1.17021 | + | 0.675621i | 0.953729 | − | 0.300666i | \(-0.0972090\pi\) |
0.216480 | + | 0.976287i | \(0.430542\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.53736 | − | 4.39484i | −0.113361 | − | 0.196347i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −10.2304 | + | 10.2304i | −0.456149 | + | 0.456149i | −0.897389 | − | 0.441240i | \(-0.854539\pi\) |
0.441240 | + | 0.897389i | \(0.354539\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −17.2417 | − | 34.0198i | −0.767248 | − | 1.51386i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −1.28162 | + | 4.78308i | −0.0569188 | + | 0.212424i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −4.98510 | + | 8.63445i | −0.220961 | + | 0.382715i | −0.955100 | − | 0.296284i | \(-0.904253\pi\) |
0.734139 | + | 0.678999i | \(0.237586\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 18.1008 | + | 8.71021i | 0.800734 | + | 0.385317i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.85793 | + | 1.30168i | −0.214483 | + | 0.0574705i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −39.1300 | + | 8.22926i | −1.72427 | + | 0.362625i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.24187 | + | 2.24187i | 0.0985974 | + | 0.0985974i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.51811i | 0.242218i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −11.5888 | + | 6.69081i | −0.507715 | + | 0.293130i | −0.731894 | − | 0.681419i | \(-0.761363\pi\) |
0.224179 | + | 0.974548i | \(0.428030\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.31005 | − | 12.3533i | −0.144739 | − | 0.540172i | −0.999767 | − | 0.0215904i | \(-0.993127\pi\) |
0.855028 | − | 0.518581i | \(-0.173540\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −13.5635 | − | 8.45695i | −0.591958 | − | 0.369092i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.261186 | − | 0.974761i | −0.0113775 | − | 0.0424613i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 33.4155 | − | 19.2925i | 1.45285 | − | 0.838803i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 12.0733i | − | 0.523937i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 16.5439 | + | 16.5439i | 0.716597 | + | 0.716597i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −17.3806 | + | 3.65525i | −0.751430 | + | 0.158030i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 9.72299 | − | 2.60527i | 0.419578 | − | 0.112426i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.51804 | − | 23.2459i | −0.151533 | − | 1.00127i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.914577 | + | 1.58409i | −0.0393207 | + | 0.0681055i | −0.885016 | − | 0.465561i | \(-0.845853\pi\) |
0.845695 | + | 0.533666i | \(0.179186\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 5.99153 | − | 22.3607i | 0.257121 | − | 0.959589i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 14.6662 | + | 28.9380i | 0.628232 | + | 1.23957i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.84062 | + | 2.84062i | −0.121456 | + | 0.121456i | −0.765222 | − | 0.643766i | \(-0.777371\pi\) |
0.643766 | + | 0.765222i | \(0.277371\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −8.62555 | − | 14.9399i | −0.368129 | − | 0.637619i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.04709 | − | 0.604536i | −0.0446074 | − | 0.0257541i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.33704 | + | 3.73006i | 0.184430 | + | 0.158618i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 22.0739 | + | 1.20454i | 0.936985 | + | 0.0511297i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 21.6537 | + | 5.80210i | 0.917498 | + | 0.245843i | 0.686516 | − | 0.727115i | \(-0.259139\pi\) |
0.230982 | + | 0.972958i | \(0.425806\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 15.2996 | 0.647105 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.08903 | 0.0459787 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 3.11101 | + | 0.833593i | 0.131114 | + | 0.0351318i | 0.323779 | − | 0.946133i | \(-0.395047\pi\) |
−0.192665 | + | 0.981264i | \(0.561713\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 12.8671 | − | 11.5355i | 0.541325 | − | 0.485303i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.75613 | + | 5.01391i | 0.0737507 | + | 0.210564i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 21.3213 | + | 12.3098i | 0.893835 | + | 0.516056i | 0.875195 | − | 0.483771i | \(-0.160733\pi\) |
0.0186397 | + | 0.999826i | \(0.494066\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 18.2044 | + | 31.5310i | 0.761831 | + | 1.31953i | 0.941906 | + | 0.335877i | \(0.109033\pi\) |
−0.180074 | + | 0.983653i | \(0.557634\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −3.88106 | + | 3.88106i | −0.162134 | + | 0.162134i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 38.7810 | − | 5.97114i | 1.61728 | − | 0.249014i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.30689 | − | 4.87736i | 0.0544064 | − | 0.203047i | −0.933372 | − | 0.358909i | \(-0.883149\pi\) |
0.987779 | + | 0.155862i | \(0.0498155\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −5.43793 | + | 9.41877i | −0.225993 | + | 0.391431i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 16.9989 | − | 11.5971i | 0.705232 | − | 0.481129i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −43.8119 | + | 11.7394i | −1.81450 | + | 0.486195i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 2.93059 | + | 13.9349i | 0.121165 | + | 0.576138i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 16.9957 | + | 16.9957i | 0.701488 | + | 0.701488i | 0.964730 | − | 0.263242i | \(-0.0847917\pi\) |
−0.263242 | + | 0.964730i | \(0.584792\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.44769i | 0.142059i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −8.45781 | + | 4.88312i | −0.347908 | + | 0.200865i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −5.35745 | − | 19.9943i | −0.220004 | − | 0.821067i | −0.984345 | − | 0.176254i | \(-0.943602\pi\) |
0.764341 | − | 0.644813i | \(-0.223065\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.39095 | − | 0.765328i | −0.0570233 | − | 0.0313754i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 4.28840 | + | 16.0045i | 0.175513 | + | 0.655022i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 27.9687 | − | 16.1478i | 1.14277 | − | 0.659780i | 0.195656 | − | 0.980673i | \(-0.437316\pi\) |
0.947115 | + | 0.320893i | \(0.103983\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 25.1960i | − | 1.02777i | −0.857861 | − | 0.513883i | \(-0.828207\pi\) | ||
0.857861 | − | 0.513883i | \(-0.171793\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −6.06529 | − | 6.06529i | −0.246998 | − | 0.246998i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.525532 | − | 0.342896i | −0.0213659 | − | 0.0139407i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −46.2025 | + | 12.3799i | −1.87530 | + | 0.502486i | −0.875488 | + | 0.483240i | \(0.839460\pi\) |
−0.999815 | + | 0.0192458i | \(0.993873\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −1.82806 | + | 3.79892i | −0.0740766 | + | 0.153940i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.95166 | − | 3.38038i | 0.0789559 | − | 0.136756i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.86971 | + | 18.1740i | −0.196686 | + | 0.734041i | 0.795138 | + | 0.606428i | \(0.207398\pi\) |
−0.991824 | + | 0.127613i | \(0.959268\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −14.5288 | − | 4.75532i | −0.585858 | − | 0.191753i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −4.50888 | + | 4.50888i | −0.181521 | + | 0.181521i | −0.792018 | − | 0.610497i | \(-0.790970\pi\) |
0.610497 | + | 0.792018i | \(0.290970\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.79025 | + | 10.0290i | 0.232730 | + | 0.403100i | 0.958610 | − | 0.284721i | \(-0.0919009\pi\) |
−0.725881 | + | 0.687821i | \(0.758568\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −37.2818 | − | 21.5246i | −1.49607 | − | 0.863754i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 4.65174 | − | 5.40871i | 0.186368 | − | 0.216695i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.4080 | + | 5.40833i | 0.976320 | + | 0.216333i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.59381 | − | 0.962959i | −0.143523 | − | 0.0384569i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 2.19574 | 0.0875497 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 37.5680 | 1.49556 | 0.747779 | − | 0.663948i | \(-0.231120\pi\) | ||||
0.747779 | + | 0.663948i | \(0.231120\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 8.49017 | + | 2.27493i | 0.337454 | + | 0.0904205i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 10.3775 | + | 11.5755i | 0.411820 | + | 0.459359i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −26.5230 | + | 11.5908i | −1.05088 | + | 0.459245i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 18.0382 | + | 10.4144i | 0.713581 | + | 0.411986i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 0.166165 | + | 0.287806i | 0.00656311 | + | 0.0113676i | 0.869288 | − | 0.494305i | \(-0.164578\pi\) |
−0.862725 | + | 0.505673i | \(0.831244\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 16.9157 | − | 16.9157i | 0.667092 | − | 0.667092i | −0.289950 | − | 0.957042i | \(-0.593639\pi\) |
0.957042 | + | 0.289950i | \(0.0936387\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −8.91686 | + | 4.51919i | −0.351101 | + | 0.177943i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −12.8652 | + | 48.0136i | −0.505784 | + | 1.88761i | −0.0473574 | + | 0.998878i | \(0.515080\pi\) |
−0.458426 | + | 0.888732i | \(0.651587\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 13.1650 | − | 22.8025i | 0.516773 | − | 0.895077i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 11.9877 | − | 0.901978i | 0.469837 | − | 0.0353513i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −30.5151 | + | 8.17650i | −1.19415 | + | 0.319971i | −0.800524 | − | 0.599301i | \(-0.795445\pi\) |
−0.393624 | + | 0.919272i | \(0.628779\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 16.5527 | − | 25.3692i | 0.646769 | − | 0.991255i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 8.26805 | + | 8.26805i | 0.322567 | + | 0.322567i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 40.5893i | − | 1.58114i | −0.612374 | − | 0.790568i | \(-0.709785\pi\) | ||
0.612374 | − | 0.790568i | \(-0.290215\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 17.1349 | − | 9.89284i | 0.666471 | − | 0.384787i | −0.128267 | − | 0.991740i | \(-0.540942\pi\) |
0.794738 | + | 0.606953i | \(0.207608\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.347011 | − | 1.29506i | −0.0134768 | − | 0.0502961i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.91343 | + | 3.75553i | 0.151756 | + | 0.145633i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.67859 | − | 9.99663i | −0.103715 | − | 0.387071i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −4.63947 | + | 2.67860i | −0.179372 | + | 0.103561i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 37.6220i | − | 1.45238i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −21.6615 | − | 21.6615i | −0.834989 | − | 0.834989i | 0.153206 | − | 0.988194i | \(-0.451040\pi\) |
−0.988194 | + | 0.153206i | \(0.951040\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −17.1692 | − | 21.3899i | −0.660841 | − | 0.823299i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 36.6550 | − | 9.82167i | 1.40877 | − | 0.377477i | 0.527281 | − | 0.849691i | \(-0.323212\pi\) |
0.881484 | + | 0.472214i | \(0.156545\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 21.3014 | + | 31.2233i | 0.817475 | + | 1.19824i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.264860 | + | 0.458752i | −0.0101495 | + | 0.0175794i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −3.22391 | + | 12.0318i | −0.123359 | + | 0.460384i | −0.999776 | − | 0.0211702i | \(-0.993261\pi\) |
0.876416 | + | 0.481554i | \(0.159927\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.7414 | − | 32.8179i | 0.410407 | − | 1.25391i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 11.9281 | − | 11.9281i | 0.455084 | − | 0.455084i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 27.9208 | + | 48.3602i | 1.06370 | + | 1.84238i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.262855 | − | 0.151759i | −0.00999947 | − | 0.00577320i | 0.494992 | − | 0.868898i | \(-0.335171\pi\) |
−0.504991 | + | 0.863124i | \(0.668504\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.54023 | − | 13.4476i | 0.0964954 | − | 0.510831i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 1.27336 | − | 23.3352i | 0.0483014 | − | 0.885155i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.46665 | − | 0.392989i | −0.0555535 | − | 0.0148855i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −13.4655 | −0.509312 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.82269 | −0.106612 | −0.0533058 | − | 0.998578i | \(-0.516976\pi\) | ||||
−0.0533058 | + | 0.998578i | \(0.516976\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.24598 | − | 1.94155i | −0.273287 | − | 0.0732271i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.138965 | + | 2.54662i | −0.00523372 | + | 0.0959113i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 42.5905 | − | 14.9174i | 1.60178 | − | 0.561027i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −18.2418 | − | 10.5319i | −0.685085 | − | 0.395534i | 0.116683 | − | 0.993169i | \(-0.462774\pi\) |
−0.801768 | + | 0.597635i | \(0.796107\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.66491 | + | 2.88371i | 0.0624390 | + | 0.108148i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −20.8675 | + | 20.8675i | −0.781495 | + | 0.781495i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.66004 | + | 29.5140i | −0.361265 | + | 1.10376i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0.769066 | − | 2.87019i | 0.0287213 | − | 0.107189i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −5.73941 | + | 9.94096i | −0.214044 | + | 0.370735i | −0.952976 | − | 0.303044i | \(-0.901997\pi\) |
0.738932 | + | 0.673780i | \(0.235330\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.54980 | − | 47.1786i | −0.132201 | − | 1.75702i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 21.1946 | − | 5.67907i | 0.788235 | − | 0.211207i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.717500 | − | 6.55475i | 0.0266473 | − | 0.243437i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 36.2336 | + | 36.2336i | 1.34383 | + | 1.34383i | 0.892210 | + | 0.451620i | \(0.149154\pi\) |
0.451620 | + | 0.892210i | \(0.350846\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 22.9769i | 0.850997i | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.859887 | + | 0.496456i | −0.0318041 | + | 0.0183621i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 11.6256 | + | 43.3873i | 0.429401 | + | 1.60255i | 0.754121 | + | 0.656735i | \(0.228063\pi\) |
−0.324721 | + | 0.945810i | \(0.605270\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 12.0343 | − | 14.5896i | 0.443892 | − | 0.538147i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.84159 | − | 18.0691i | −0.178342 | − | 0.665582i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.44181 | − | 0.832430i | 0.0530379 | − | 0.0306214i | −0.473247 | − | 0.880930i | \(-0.656918\pi\) |
0.526284 | + | 0.850309i | \(0.323585\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.58058i | 0.168272i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −23.4760 | − | 23.4760i | −0.861249 | − | 0.861249i | 0.130234 | − | 0.991483i | \(-0.458427\pi\) |
−0.991483 | + | 0.130234i | \(0.958427\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 19.3519 | − | 29.6592i | 0.708997 | − | 1.08663i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 11.5702 | − | 3.10021i | 0.423330 | − | 0.113431i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.57674 | − | 20.9557i | −0.0576128 | − | 0.765703i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.30294 | + | 14.3811i | −0.302979 | + | 0.524774i | −0.976809 | − | 0.214112i | \(-0.931314\pi\) |
0.673831 | + | 0.738886i | \(0.264648\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −3.93979 | + | 14.7035i | −0.143574 | + | 0.535825i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −35.5417 | + | 18.0130i | −1.29349 | + | 0.655562i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −23.6602 | + | 23.6602i | −0.859944 | + | 0.859944i | −0.991331 | − | 0.131387i | \(-0.958057\pi\) |
0.131387 | + | 0.991331i | \(0.458057\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −15.9235 | − | 27.5804i | −0.577988 | − | 1.00110i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 30.6131 | + | 17.6745i | 1.10973 | + | 0.640700i | 0.938758 | − | 0.344577i | \(-0.111978\pi\) |
0.170967 | + | 0.985277i | \(0.445311\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −36.2284 | + | 12.6891i | −1.31156 | + | 0.459375i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.616881 | − | 0.688091i | −0.0223034 | − | 0.0248780i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −31.3116 | − | 8.38991i | −1.13060 | − | 0.302942i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.73257 | −0.278844 | −0.139422 | − | 0.990233i | \(-0.544524\pi\) | ||||
−0.139422 | + | 0.990233i | \(0.544524\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −26.2774 | −0.946358 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −23.9549 | − | 6.41870i | −0.861598 | − | 0.230865i | −0.199147 | − | 0.979970i | \(-0.563817\pi\) |
−0.662451 | + | 0.749105i | \(0.730484\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −17.2098 | + | 7.57364i | −0.618196 | + | 0.272053i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −4.85518 | + | 25.7025i | −0.174179 | + | 0.922072i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 4.49250 | + | 2.59374i | 0.160960 | + | 0.0929305i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 22.7122 | + | 39.3386i | 0.812705 | + | 1.40765i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −5.11548 | + | 5.11548i | −0.182812 | + | 0.182812i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −19.6151 | − | 6.42007i | −0.700091 | − | 0.229142i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −5.77061 | + | 21.5362i | −0.205700 | + | 0.767683i | 0.783535 | + | 0.621348i | \(0.213415\pi\) |
−0.989235 | + | 0.146336i | \(0.953252\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −15.2571 | + | 26.4260i | −0.543167 | + | 0.940792i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 11.5233 | + | 16.8907i | 0.409723 | + | 0.600566i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −44.7399 | + | 11.9880i | −1.58876 | + | 0.425707i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −30.5573 | − | 19.9379i | −1.08376 | − | 0.707123i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −17.2569 | − | 17.2569i | −0.611269 | − | 0.611269i | 0.332008 | − | 0.943277i | \(-0.392274\pi\) |
−0.943277 | + | 0.332008i | \(0.892274\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.253317i | 0.00896173i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 3.59626 | − | 2.07630i | 0.127068 | − | 0.0733625i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 6.59994 | + | 24.6313i | 0.232907 | + | 0.869220i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.955675 | + | 46.4172i | 0.0336831 | + | 1.63599i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −2.62992 | − | 9.81501i | −0.0925777 | − | 0.345505i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −9.08066 | + | 5.24272i | −0.319259 | + | 0.184324i | −0.651062 | − | 0.759024i | \(-0.725676\pi\) |
0.331803 | + | 0.943349i | \(0.392343\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 9.71519i | − | 0.341147i | −0.985345 | − | 0.170573i | \(-0.945438\pi\) | ||
0.985345 | − | 0.170573i | \(-0.0545620\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 6.46279 | + | 6.46279i | 0.226660 | + | 0.226660i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −4.27343 | − | 20.3201i | −0.149692 | − | 0.711781i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.27663 | − | 0.877971i | 0.114635 | − | 0.0307163i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −16.8012 | + | 1.26415i | −0.587081 | + | 0.0441730i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1.01376 | + | 1.75588i | −0.0353804 | + | 0.0612806i | −0.883173 | − | 0.469047i | \(-0.844598\pi\) |
0.847793 | + | 0.530327i | \(0.177931\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.44496 | − | 35.2491i | 0.329231 | − | 1.22871i | −0.580760 | − | 0.814075i | \(-0.697244\pi\) |
0.909990 | − | 0.414630i | \(-0.136089\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −3.08782 | − | 20.0546i | −0.107504 | − | 0.698212i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 4.15637 | − | 4.15637i | 0.144531 | − | 0.144531i | −0.631139 | − | 0.775670i | \(-0.717412\pi\) |
0.775670 | + | 0.631139i | \(0.217412\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −0.00125445 | − | 0.00217277i | −4.35688e−5 | − | 7.54634e-5i | 0.866004 | − | 0.500038i | \(-0.166681\pi\) |
−0.866047 | + | 0.499962i | \(0.833347\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 16.0311 | + | 9.25555i | 0.556112 | + | 0.321071i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 1.11456 | − | 1.51208i | 0.0386174 | − | 0.0523905i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.99271 | + | 6.26904i | −0.241993 | + | 0.216949i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 19.9260 | + | 5.33916i | 0.688744 | + | 0.184549i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −1.17778 | −0.0406615 | −0.0203308 | − | 0.999793i | \(-0.506472\pi\) | ||||
−0.0203308 | + | 0.999793i | \(0.506472\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 27.2608 | 0.940028 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −28.7296 | − | 7.69808i | −0.989500 | − | 0.265136i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 9.15034 | + | 0.499319i | 0.314781 | + | 0.0171771i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.484137 | − | 0.562919i | 0.0166351 | − | 0.0193421i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −25.6123 | − | 14.7873i | −0.879012 | − | 0.507498i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −32.1056 | − | 55.6086i | −1.10057 | − | 1.90624i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −11.8453 | + | 11.8453i | −0.405577 | + | 0.405577i | −0.880193 | − | 0.474616i | \(-0.842587\pi\) |
0.474616 | + | 0.880193i | \(0.342587\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.42729 | + | 2.81619i | 0.0488122 | + | 0.0963116i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 9.33361 | − | 34.8335i | 0.318830 | − | 1.18989i | −0.601540 | − | 0.798842i | \(-0.705446\pi\) |
0.920370 | − | 0.391048i | \(-0.127887\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.4292 | − | 21.5280i | 0.424080 | − | 0.734527i | −0.572254 | − | 0.820076i | \(-0.693931\pi\) |
0.996334 | + | 0.0855488i | \(0.0272644\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 7.84323 | − | 16.2992i | 0.267297 | − | 0.555474i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −37.1778 | + | 9.96176i | −1.26555 | + | 0.339102i | −0.828323 | − | 0.560250i | \(-0.810705\pi\) |
−0.437224 | + | 0.899353i | \(0.644038\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 9.99337 | − | 2.10166i | 0.339785 | − | 0.0714587i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −14.4629 | − | 14.4629i | −0.491186 | − | 0.491186i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 7.26183i | 0.246341i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −19.9449 | + | 11.5152i | −0.675807 | + | 0.390177i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 5.69444 | + | 21.2519i | 0.192728 | + | 0.719269i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −10.1498 | + | 27.7846i | −0.343125 | + | 0.939290i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.04053 | + | 18.8115i | 0.170207 | + | 0.635220i | 0.997319 | + | 0.0731828i | \(0.0233157\pi\) |
−0.827112 | + | 0.562037i | \(0.810018\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 8.43478 | − | 4.86982i | 0.284498 | − | 0.164255i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 9.12401i | 0.307396i | 0.988118 | + | 0.153698i | \(0.0491182\pi\) | ||||
−0.988118 | + | 0.153698i | \(0.950882\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.784643 | + | 0.784643i | 0.0264053 | + | 0.0264053i | 0.720186 | − | 0.693781i | \(-0.244056\pi\) |
−0.693781 | + | 0.720186i | \(0.744056\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 20.7271 | − | 4.35903i | 0.696733 | − | 0.146527i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 5.26804 | − | 1.41157i | 0.176883 | − | 0.0473958i | −0.169290 | − | 0.985566i | \(-0.554147\pi\) |
0.346174 | + | 0.938170i | \(0.387481\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −15.1952 | + | 10.3666i | −0.509630 | + | 0.347684i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.37203 | + | 5.84053i | −0.112967 | + | 0.195665i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.223993 | − | 0.835954i | 0.00749565 | − | 0.0279741i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −8.42133 | − | 16.6162i | −0.281494 | − | 0.555418i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −27.7245 | + | 27.7245i | −0.925694 | + | 0.925694i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 2.47966 | + | 4.29489i | 0.0827011 | + | 0.143243i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.13847 | − | 1.81200i | −0.104558 | − | 0.0603664i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −3.90997 | − | 11.1633i | −0.130116 | − | 0.371491i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −42.7775 | − | 2.33430i | −1.42197 | − | 0.0775946i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −24.0641 | − | 6.44797i | −0.799037 | − | 0.214101i | −0.163876 | − | 0.986481i | \(-0.552400\pi\) |
−0.635161 | + | 0.772380i | \(0.719066\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 26.2683 | 0.871264 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −3.36878 | −0.111613 | −0.0558063 | − | 0.998442i | \(-0.517773\pi\) | ||||
−0.0558063 | + | 0.998442i | \(0.517773\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 25.2328 | + | 6.76110i | 0.835082 | + | 0.223760i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 22.5341 | − | 20.2021i | 0.744955 | − | 0.667860i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 27.1740 | + | 23.3709i | 0.897363 | + | 0.771774i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −13.9256 | − | 8.03995i | −0.459363 | − | 0.265214i | 0.252413 | − | 0.967620i | \(-0.418776\pi\) |
−0.711777 | + | 0.702406i | \(0.752109\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.557682 | + | 0.965934i | 0.0183762 | + | 0.0318286i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 39.5442 | − | 39.5442i | 1.30161 | − | 1.30161i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −6.22578 | − | 40.4349i | −0.204702 | − | 1.32949i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 7.12787 | − | 26.6016i | 0.234110 | − | 0.873710i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −25.1693 | + | 43.5945i | −0.825778 | + | 1.43029i | 0.0755452 | + | 0.997142i | \(0.475930\pi\) |
−0.901323 | + | 0.433147i | \(0.857403\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.01513 | + | 4.00436i | −0.164364 | + | 0.131238i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 9.09740 | − | 2.43764i | 0.297836 | − | 0.0798048i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.414774 | − | 1.97224i | −0.0135645 | − | 0.0644991i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −21.4027 | − | 21.4027i | −0.699194 | − | 0.699194i | 0.265043 | − | 0.964237i | \(-0.414614\pi\) |
−0.964237 | + | 0.265043i | \(0.914614\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 4.19047i | 0.136751i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −12.1498 | + | 7.01467i | −0.396071 | + | 0.228672i | −0.684787 | − | 0.728743i | \(-0.740105\pi\) |
0.288716 | + | 0.957415i | \(0.406772\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 11.4924 | + | 42.8903i | 0.374245 | + | 1.39670i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 27.7656 | − | 16.8019i | 0.903216 | − | 0.546565i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 3.23965 | + | 12.0906i | 0.105275 | + | 0.392890i | 0.998376 | − | 0.0569649i | \(-0.0181423\pi\) |
−0.893102 | + | 0.449855i | \(0.851476\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 27.1884 | − | 15.6972i | 0.882572 | − | 0.509553i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0.981580i | 0.0318299i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 5.25245 | + | 5.25245i | 0.170143 | + | 0.170143i | 0.787042 | − | 0.616899i | \(-0.211611\pi\) |
−0.616899 | + | 0.787042i | \(0.711611\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 8.50681 | + | 5.55048i | 0.275274 | + | 0.179609i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −5.16950 | + | 1.38516i | −0.167106 | + | 0.0447760i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 36.8168 | + | 17.7164i | 1.18888 | + | 0.572092i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.42922 | + | 14.5998i | −0.271910 | + | 0.470963i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 3.16603 | − | 11.8158i | 0.102024 | − | 0.380759i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 19.1287 | + | 6.26087i | 0.615773 | + | 0.201545i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.53231 | + | 3.53231i | −0.113591 | + | 0.113591i | −0.761618 | − | 0.648026i | \(-0.775595\pi\) |
0.648026 | + | 0.761618i | \(0.275595\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.148635 | − | 0.257443i | −0.00477484 | − | 0.00827027i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 7.52979 | + | 4.34733i | 0.241642 | + | 0.139512i | 0.615931 | − | 0.787800i | \(-0.288780\pi\) |
−0.374289 | + | 0.927312i | \(0.622113\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 27.1711 | + | 5.13261i | 0.871067 | + | 0.164544i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −22.8649 | + | 10.0623i | −0.732264 | + | 0.322251i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −29.3199 | − | 7.85624i | −0.938026 | − | 0.251343i | −0.242752 | − | 0.970088i | \(-0.578050\pi\) |
−0.695274 | + | 0.718745i | \(0.744717\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9.05620 | 0.289437 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −22.3444 | −0.713402 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 15.8743 | + | 4.25351i | 0.506312 | + | 0.135666i | 0.502928 | − | 0.864328i | \(-0.332256\pi\) |
0.00338392 | + | 0.999994i | \(0.498923\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 12.0647 | + | 13.4574i | 0.384413 | + | 0.428788i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −2.96524 | − | 0.560132i | −0.0943848 | − | 0.0178292i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 25.1462 | + | 14.5182i | 0.799603 | + | 0.461651i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.3742 | − | 30.0929i | −0.551908 | − | 0.955933i | −0.998137 | − | 0.0610142i | \(-0.980567\pi\) |
0.446229 | − | 0.894919i | \(-0.352767\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −13.3266 | + | 13.3266i | −0.422908 | + | 0.422908i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 27.3511 | − | 13.8619i | 0.867089 | − | 0.439453i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 10.4901 | − | 39.1497i | 0.332226 | − | 1.23988i | −0.574619 | − | 0.818421i | \(-0.694850\pi\) |
0.906845 | − | 0.421464i | \(-0.138484\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −22.4426 | + | 38.8717i | −0.710052 | + | 1.22985i |
(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.33.5 | yes | 48 | |
4.3 | odd | 2 | 560.2.ci.e.33.8 | 48 | |||
5.2 | odd | 4 | inner | 280.2.bo.a.257.5 | yes | 48 | |
7.3 | odd | 6 | inner | 280.2.bo.a.73.5 | yes | 48 | |
20.7 | even | 4 | 560.2.ci.e.257.8 | 48 | |||
28.3 | even | 6 | 560.2.ci.e.353.8 | 48 | |||
35.17 | even | 12 | inner | 280.2.bo.a.17.5 | ✓ | 48 | |
140.87 | odd | 12 | 560.2.ci.e.17.8 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bo.a.17.5 | ✓ | 48 | 35.17 | even | 12 | inner | |
280.2.bo.a.33.5 | yes | 48 | 1.1 | even | 1 | trivial | |
280.2.bo.a.73.5 | yes | 48 | 7.3 | odd | 6 | inner | |
280.2.bo.a.257.5 | yes | 48 | 5.2 | odd | 4 | inner | |
560.2.ci.e.17.8 | 48 | 140.87 | odd | 12 | |||
560.2.ci.e.33.8 | 48 | 4.3 | odd | 2 | |||
560.2.ci.e.257.8 | 48 | 20.7 | even | 4 | |||
560.2.ci.e.353.8 | 48 | 28.3 | even | 6 |