Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(25,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 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("804.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.q (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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 193.5 | ||
Character | \(\chi\) | \(=\) | 804.193 |
Dual form | 804.2.q.a.25.5 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{11}\right)\) | \(1\) |
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 | ||||||||
\(3\) | −0.654861 | − | 0.755750i | −0.378084 | − | 0.436332i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.20911 | + | 0.777049i | 0.540732 | + | 0.347507i | 0.782325 | − | 0.622871i | \(-0.214034\pi\) |
−0.241593 | + | 0.970378i | \(0.577670\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.250069 | + | 1.73927i | −0.0945172 | + | 0.657381i | 0.886395 | + | 0.462930i | \(0.153202\pi\) |
−0.980912 | + | 0.194452i | \(0.937707\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.142315 | + | 0.989821i | −0.0474383 | + | 0.329940i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.56789 | + | 1.00762i | 0.472737 | + | 0.303810i | 0.755230 | − | 0.655460i | \(-0.227525\pi\) |
−0.282493 | + | 0.959269i | \(0.591161\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0764634 | + | 0.167432i | 0.0212071 | + | 0.0464372i | 0.919939 | − | 0.392061i | \(-0.128238\pi\) |
−0.898732 | + | 0.438498i | \(0.855511\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.204546 | − | 1.42265i | −0.0528134 | − | 0.367325i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −5.54950 | + | 1.62948i | −1.34595 | + | 0.395207i | −0.873790 | − | 0.486304i | \(-0.838345\pi\) |
−0.472163 | + | 0.881511i | \(0.656527\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.468082 | + | 3.25558i | 0.107385 | + | 0.746882i | 0.970365 | + | 0.241643i | \(0.0776864\pi\) |
−0.862980 | + | 0.505239i | \(0.831404\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.47821 | − | 0.949989i | 0.322572 | − | 0.207305i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.51470 | + | 5.21024i | 0.941381 | + | 1.08641i | 0.996128 | + | 0.0879108i | \(0.0280191\pi\) |
−0.0547478 | + | 0.998500i | \(0.517435\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.21893 | − | 2.66908i | −0.243786 | − | 0.533816i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.841254 | − | 0.540641i | 0.161899 | − | 0.104046i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.72534 | −0.320388 | −0.160194 | − | 0.987086i | \(-0.551212\pi\) | ||||
−0.160194 | + | 0.987086i | \(0.551212\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.97782 | + | 6.52052i | −0.534832 | + | 1.17112i | 0.428680 | + | 0.903456i | \(0.358979\pi\) |
−0.963513 | + | 0.267663i | \(0.913749\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.265240 | − | 1.84479i | −0.0461724 | − | 0.321136i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.65386 | + | 1.90865i | −0.279553 | + | 0.322622i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.42345 | 0.234013 | 0.117007 | − | 0.993131i | \(-0.462670\pi\) | ||||
0.117007 | + | 0.993131i | \(0.462670\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.0764634 | − | 0.167432i | 0.0122439 | − | 0.0268105i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.495048 | − | 0.145359i | 0.0773135 | − | 0.0227013i | −0.242847 | − | 0.970065i | \(-0.578081\pi\) |
0.320161 | + | 0.947363i | \(0.396263\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.66408 | − | 1.66312i | 0.863763 | − | 0.253624i | 0.180303 | − | 0.983611i | \(-0.442292\pi\) |
0.683461 | + | 0.729987i | \(0.260474\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.941215 | + | 1.08622i | −0.140308 | + | 0.161924i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 7.39028 | + | 8.52884i | 1.07798 | + | 1.24406i | 0.968220 | + | 0.250101i | \(0.0804639\pi\) |
0.109764 | + | 0.993958i | \(0.464991\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.75393 | + | 1.10225i | 0.536276 | + | 0.157465i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.86563 | + | 3.12695i | 0.681325 | + | 0.437861i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.625578 | − | 0.183686i | −0.0859297 | − | 0.0252312i | 0.238485 | − | 0.971146i | \(-0.423349\pi\) |
−0.324415 | + | 0.945915i | \(0.605167\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.11278 | + | 2.43666i | 0.150048 | + | 0.328559i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.15388 | − | 2.48571i | 0.285288 | − | 0.329240i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.56051 | + | 7.79643i | −0.463539 | + | 1.01501i | 0.523127 | + | 0.852255i | \(0.324765\pi\) |
−0.986667 | + | 0.162755i | \(0.947962\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.36567 | − | 2.16298i | 0.430930 | − | 0.276942i | −0.307142 | − | 0.951664i | \(-0.599373\pi\) |
0.738072 | + | 0.674722i | \(0.235736\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.68598 | − | 0.495047i | −0.212413 | − | 0.0623701i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.0376497 | + | 0.261859i | −0.00466987 | + | 0.0324797i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.71268 | − | 7.72278i | 0.331406 | − | 0.943488i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.981139 | − | 6.82397i | 0.118115 | − | 0.821509i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.81930 | − | 1.41507i | −0.571946 | − | 0.167938i | −0.0170447 | − | 0.999855i | \(-0.505426\pi\) |
−0.554901 | + | 0.831916i | \(0.687244\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.78593 | − | 5.64637i | 1.02832 | − | 0.660858i | 0.0862451 | − | 0.996274i | \(-0.472513\pi\) |
0.942070 | + | 0.335416i | \(0.108877\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.21893 | + | 2.66908i | −0.140750 | + | 0.308199i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −2.14461 | + | 2.47501i | −0.244401 | + | 0.282053i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.37975 | + | 3.02123i | 0.155234 | + | 0.339915i | 0.971230 | − | 0.238142i | \(-0.0765384\pi\) |
−0.815996 | + | 0.578057i | \(0.803811\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.71907 | + | 2.39010i | 0.408221 | + | 0.262348i | 0.728597 | − | 0.684943i | \(-0.240173\pi\) |
−0.320376 | + | 0.947291i | \(0.603809\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.97616 | − | 2.34201i | −0.865136 | − | 0.254027i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.12986 | + | 1.30393i | 0.121134 | + | 0.139796i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −7.30415 | + | 8.42944i | −0.774238 | + | 0.893518i | −0.996679 | − | 0.0814277i | \(-0.974052\pi\) |
0.222441 | + | 0.974946i | \(0.428597\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.310329 | + | 0.0911209i | −0.0325314 | + | 0.00955207i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.87793 | − | 2.01954i | 0.713209 | − | 0.209417i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.96379 | + | 4.30009i | −0.201480 | + | 0.441180i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.00963 | −0.914789 | −0.457395 | − | 0.889264i | \(-0.651217\pi\) | ||||
−0.457395 | + | 0.889264i | \(0.651217\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.22050 | + | 1.40853i | −0.122665 | + | 0.141563i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.88655 | + | 13.1212i | 0.187719 | + | 1.30561i | 0.837896 | + | 0.545829i | \(0.183785\pi\) |
−0.650178 | + | 0.759782i | \(0.725306\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.74939 | − | 14.7791i | 0.665038 | − | 1.45623i | −0.212715 | − | 0.977114i | \(-0.568231\pi\) |
0.877752 | − | 0.479115i | \(-0.159042\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.52551 | 0.246465 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.89540 | + | 2.50342i | −0.376583 | + | 0.242015i | −0.715216 | − | 0.698903i | \(-0.753672\pi\) |
0.338633 | + | 0.940918i | \(0.390035\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.186444 | − | 0.408254i | −0.0178581 | − | 0.0391037i | 0.900493 | − | 0.434871i | \(-0.143206\pi\) |
−0.918351 | + | 0.395767i | \(0.870479\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.932159 | − | 1.07577i | −0.0884766 | − | 0.102107i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.18593 | + | 0.762152i | −0.111563 | + | 0.0716973i | −0.595233 | − | 0.803553i | \(-0.702940\pi\) |
0.483669 | + | 0.875251i | \(0.339304\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.41017 | + | 9.80792i | 0.131499 | + | 0.914593i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.176609 | + | 0.0518571i | −0.0163275 | + | 0.00479419i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.44635 | − | 10.0596i | −0.132586 | − | 0.922158i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.12658 | − | 6.84627i | −0.284235 | − | 0.622388i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.434043 | − | 0.278942i | −0.0391363 | − | 0.0251514i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.62291 | − | 11.2876i | 0.145158 | − | 1.00959i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.16483 | − | 8.10156i | 0.103362 | − | 0.718897i | −0.870568 | − | 0.492048i | \(-0.836248\pi\) |
0.973930 | − | 0.226849i | \(-0.0728425\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −4.96608 | − | 3.19151i | −0.437239 | − | 0.280997i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.79396 | + | 4.37846i | 0.331480 | + | 0.382548i | 0.896884 | − | 0.442266i | \(-0.145825\pi\) |
−0.565404 | + | 0.824814i | \(0.691280\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.77938 | −0.501136 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.43727 | 0.123701 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −12.6768 | − | 14.6298i | −1.08305 | − | 1.24991i | −0.966485 | − | 0.256725i | \(-0.917357\pi\) |
−0.116567 | − | 0.993183i | \(-0.537189\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.57069 | − | 5.50804i | −0.726956 | − | 0.467186i | 0.124094 | − | 0.992270i | \(-0.460397\pi\) |
−0.851050 | + | 0.525084i | \(0.824034\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.60606 | − | 11.1704i | 0.135255 | − | 0.940718i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.0488215 | + | 0.339561i | −0.00408266 | + | 0.0283955i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.08614 | − | 1.34068i | −0.173244 | − | 0.111337i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.62528 | − | 3.55886i | −0.134050 | − | 0.293529i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.23744 | − | 8.60655i | −0.101375 | − | 0.705076i | −0.975600 | − | 0.219556i | \(-0.929539\pi\) |
0.874225 | − | 0.485521i | \(-0.161370\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.0864 | + | 3.25525i | −0.902196 | + | 0.264909i | −0.699753 | − | 0.714385i | \(-0.746706\pi\) |
−0.202444 | + | 0.979294i | \(0.564888\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.823119 | − | 5.72492i | −0.0665452 | − | 0.462832i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −8.66728 | + | 5.57012i | −0.696173 | + | 0.447403i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.54901 | − | 5.24983i | −0.363050 | − | 0.418982i | 0.544609 | − | 0.838690i | \(-0.316678\pi\) |
−0.907659 | + | 0.419708i | \(0.862133\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.270845 | + | 0.593069i | 0.0214794 | + | 0.0470334i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −10.1910 | + | 6.54936i | −0.803163 | + | 0.516162i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.30631 | −0.180644 | −0.0903220 | − | 0.995913i | \(-0.528790\pi\) | ||||
−0.0903220 | + | 0.995913i | \(0.528790\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.11278 | − | 2.43666i | 0.0866302 | − | 0.189694i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.743070 | − | 5.16817i | −0.0575005 | − | 0.399925i | −0.998163 | − | 0.0605819i | \(-0.980704\pi\) |
0.940663 | − | 0.339343i | \(-0.110205\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.49100 | − | 9.79914i | 0.653154 | − | 0.753780i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.28906 | −0.251521 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.83071 | + | 4.00869i | −0.139186 | + | 0.304775i | −0.966370 | − | 0.257157i | \(-0.917214\pi\) |
0.827184 | + | 0.561932i | \(0.189942\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.94706 | − | 1.45259i | 0.373963 | − | 0.109805i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 8.22379 | − | 2.41472i | 0.618138 | − | 0.181502i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 0.0339598 | − | 0.0391917i | 0.00253828 | − | 0.00292933i | −0.754479 | − | 0.656324i | \(-0.772110\pi\) |
0.757017 | + | 0.653395i | \(0.226656\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.2400 | + | 11.8176i | 0.761136 | + | 0.878398i | 0.995598 | − | 0.0937271i | \(-0.0298781\pi\) |
−0.234461 | + | 0.972125i | \(0.575333\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.83872 | − | 1.12715i | −0.283766 | − | 0.0833212i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.72111 | + | 1.10609i | 0.126538 | + | 0.0813212i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −10.3429 | − | 3.03696i | −0.756349 | − | 0.222084i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.729948 | + | 1.59836i | 0.0530959 | + | 0.116264i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.123919 | + | 0.143011i | −0.00896649 | + | 0.0103479i | −0.760215 | − | 0.649671i | \(-0.774906\pi\) |
0.751249 | + | 0.660019i | \(0.229452\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.36038 | − | 18.3067i | 0.601793 | − | 1.31774i | −0.326255 | − | 0.945282i | \(-0.605787\pi\) |
0.928048 | − | 0.372461i | \(-0.121486\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.222555 | − | 0.143028i | 0.0159375 | − | 0.0102424i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 15.4816 | + | 4.54582i | 1.10302 | + | 0.323876i | 0.782052 | − | 0.623213i | \(-0.214173\pi\) |
0.320969 | + | 0.947090i | \(0.395991\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.76290 | − | 19.2164i | 0.195856 | − | 1.36221i | −0.620293 | − | 0.784370i | \(-0.712986\pi\) |
0.816149 | − | 0.577841i | \(-0.196105\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.61292 | + | 3.00724i | −0.536974 | + | 0.212115i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.431455 | − | 3.00084i | 0.0302822 | − | 0.210617i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.711520 | + | 0.208921i | 0.0496947 | + | 0.0145917i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −5.79972 | + | 3.72725i | −0.403108 | + | 0.259062i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.54650 | + | 5.57605i | −0.176145 | + | 0.385704i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −15.2378 | + | 17.5853i | −1.04901 | + | 1.21062i | −0.0720062 | + | 0.997404i | \(0.522940\pi\) |
−0.977005 | + | 0.213219i | \(0.931605\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.08653 | + | 4.56886i | 0.142967 | + | 0.313053i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 8.14083 | + | 2.39036i | 0.555200 | + | 0.163021i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −10.5963 | − | 6.80980i | −0.719321 | − | 0.462280i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −10.0208 | − | 2.94237i | −0.677143 | − | 0.198827i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.697161 | − | 0.804566i | −0.0468961 | − | 0.0541210i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.15375 | − | 8.25586i | 0.479050 | − | 0.552854i | −0.463856 | − | 0.885910i | \(-0.653535\pi\) |
0.942907 | + | 0.333057i | \(0.108080\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.81538 | − | 0.826671i | 0.187692 | − | 0.0551114i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 18.1991 | − | 5.34375i | 1.20792 | − | 0.354677i | 0.385043 | − | 0.922899i | \(-0.374187\pi\) |
0.822876 | + | 0.568222i | \(0.192368\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.4084 | − | 22.7913i | 0.687808 | − | 1.50609i | −0.166344 | − | 0.986068i | \(-0.553196\pi\) |
0.854153 | − | 0.520022i | \(-0.174076\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 3.27491 | 0.215473 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −3.97725 | + | 4.58999i | −0.260558 | + | 0.300700i | −0.870922 | − | 0.491421i | \(-0.836478\pi\) |
0.610364 | + | 0.792121i | \(0.291023\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.30835 | + | 16.0549i | 0.150580 | + | 1.04731i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.37975 | − | 3.02123i | 0.0896243 | − | 0.196250i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.03163 | −0.131415 | −0.0657076 | − | 0.997839i | \(-0.520930\pi\) | ||||
−0.0657076 | + | 0.997839i | \(0.520930\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.515764 | + | 0.331461i | −0.0332233 | + | 0.0213513i | −0.557147 | − | 0.830414i | \(-0.688104\pi\) |
0.523924 | + | 0.851765i | \(0.324468\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.415415 | + | 0.909632i | 0.0266489 | + | 0.0583529i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 3.68242 | + | 4.24974i | 0.235261 | + | 0.271506i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.509296 | + | 0.327305i | −0.0324057 | + | 0.0208259i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.629155 | − | 4.37587i | −0.0398711 | − | 0.277309i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −4.51145 | + | 1.32468i | −0.284760 | + | 0.0836131i | −0.420994 | − | 0.907064i | \(-0.638318\pi\) |
0.136233 | + | 0.990677i | \(0.456500\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.82860 | + | 12.7182i | 0.114963 | + | 0.799587i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 3.45330 | + | 7.56167i | 0.216254 | + | 0.473530i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −9.74818 | − | 6.26478i | −0.608075 | − | 0.390786i | 0.200060 | − | 0.979784i | \(-0.435886\pi\) |
−0.808135 | + | 0.588998i | \(0.799523\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.355960 | + | 2.47575i | −0.0221183 | + | 0.153836i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.245542 | − | 1.70778i | 0.0151987 | − | 0.105709i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −17.4251 | − | 11.1985i | −1.07448 | − | 0.690527i | −0.121205 | − | 0.992628i | \(-0.538676\pi\) |
−0.953276 | + | 0.302101i | \(0.902312\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.613660 | − | 0.708202i | −0.0376969 | − | 0.0435045i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 11.1537 | 0.682598 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 9.23329 | 0.562963 | 0.281482 | − | 0.959567i | \(-0.409174\pi\) | ||||
0.281482 | + | 0.959567i | \(0.409174\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.0716 | + | 13.9313i | 0.733296 | + | 0.846269i | 0.992839 | − | 0.119463i | \(-0.0381173\pi\) |
−0.259543 | + | 0.965732i | \(0.583572\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.272087 | + | 0.174860i | 0.0164675 | + | 0.0105830i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.778279 | − | 5.41305i | 0.0469320 | − | 0.326419i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.94287 | + | 13.5130i | −0.116736 | + | 0.811917i | 0.844375 | + | 0.535753i | \(0.179972\pi\) |
−0.961111 | + | 0.276164i | \(0.910937\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −6.03036 | − | 3.87548i | −0.361028 | − | 0.232019i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.978022 | + | 2.14157i | 0.0583439 | + | 0.127755i | 0.936558 | − | 0.350512i | \(-0.113992\pi\) |
−0.878214 | + | 0.478267i | \(0.841265\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.21267 | + | 15.3894i | 0.131529 | + | 0.914807i | 0.943562 | + | 0.331195i | \(0.107452\pi\) |
−0.812033 | + | 0.583612i | \(0.801639\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 4.53580 | − | 1.33183i | 0.268677 | − | 0.0788908i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.129023 | + | 0.897371i | 0.00761596 | + | 0.0529702i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.8405 | − | 8.89474i | 0.814146 | − | 0.523220i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 5.90005 | + | 6.80903i | 0.345867 | + | 0.399152i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −5.25835 | − | 11.5142i | −0.307196 | − | 0.672666i | 0.691571 | − | 0.722309i | \(-0.256919\pi\) |
−0.998767 | + | 0.0496428i | \(0.984192\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.3633 | + | 6.66007i | −0.603373 | + | 0.387764i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.86376 | 0.108146 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.527150 | + | 1.15430i | −0.0304859 | + | 0.0667547i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.47621 | + | 10.2672i | 0.0850871 | + | 0.591794i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 8.68094 | − | 10.0183i | 0.498707 | − | 0.575539i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 5.75022 | 0.329256 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.3577 | + | 22.6802i | −0.591145 | + | 1.29443i | 0.343602 | + | 0.939115i | \(0.388353\pi\) |
−0.934748 | + | 0.355312i | \(0.884375\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −15.5892 | + | 4.57741i | −0.886840 | + | 0.260400i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 12.5853 | − | 3.69537i | 0.713646 | − | 0.209545i | 0.0952970 | − | 0.995449i | \(-0.469620\pi\) |
0.618349 | + | 0.785903i | \(0.287802\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.71109 | − | 7.74501i | 0.379333 | − | 0.437774i | −0.533691 | − | 0.845680i | \(-0.679195\pi\) |
0.913024 | + | 0.407906i | \(0.133741\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.65386 | − | 1.90865i | −0.0931844 | − | 0.107541i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −8.01339 | − | 2.35294i | −0.450077 | − | 0.132154i | 0.0488357 | − | 0.998807i | \(-0.484449\pi\) |
−0.498913 | + | 0.866652i | \(0.666267\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.70515 | − | 1.73850i | −0.151460 | − | 0.0973371i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.44290 | + | 1.30455i | 0.247979 | + | 0.0728131i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −7.90254 | − | 17.3041i | −0.439709 | − | 0.962828i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.353685 | − | 0.408174i | 0.0196189 | − | 0.0226414i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.186444 | + | 0.408254i | −0.0103104 | + | 0.0225765i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −16.6820 | + | 10.7209i | −0.919709 | + | 0.591061i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.9054 | + | 5.84474i | 1.09410 | + | 0.321256i | 0.778505 | − | 0.627639i | \(-0.215978\pi\) |
0.315593 | + | 0.948895i | \(0.397797\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.202578 | + | 1.40896i | −0.0111012 | + | 0.0772104i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 9.28092 | − | 7.22983i | 0.507071 | − | 0.395008i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.380523 | + | 2.64660i | −0.0207284 | + | 0.144169i | −0.997557 | − | 0.0698523i | \(-0.977747\pi\) |
0.976829 | + | 0.214022i | \(0.0686563\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 1.35262 | + | 0.397164i | 0.0734640 | + | 0.0215710i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −11.2391 | + | 7.22294i | −0.608632 | + | 0.391144i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.96549 | + | 17.4420i | −0.430096 | + | 0.941779i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 6.48887 | − | 7.48855i | 0.349349 | − | 0.403170i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −6.53328 | − | 14.3059i | −0.350725 | − | 0.767980i | −0.999973 | − | 0.00740308i | \(-0.997644\pi\) |
0.649248 | − | 0.760577i | \(-0.275084\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.4966 | − | 4.84384i | −0.883043 | − | 0.259285i | −0.191389 | − | 0.981514i | \(-0.561299\pi\) |
−0.691654 | + | 0.722229i | \(0.743118\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.154845 | + | 0.0995131i | 0.00826504 | + | 0.00531162i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 20.4327 | + | 5.99958i | 1.08752 | + | 0.319325i | 0.775884 | − | 0.630876i | \(-0.217304\pi\) |
0.311638 | + | 0.950201i | \(0.399122\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.72750 | − | 5.45582i | −0.250909 | − | 0.289565i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −6.65535 | + | 7.68068i | −0.352239 | + | 0.406505i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 27.2736 | − | 8.00826i | 1.43945 | − | 0.422660i | 0.533409 | − | 0.845857i | \(-0.320911\pi\) |
0.906037 | + | 0.423198i | \(0.139092\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.85064 | − | 2.30516i | 0.413192 | − | 0.121324i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.12658 | + | 6.84627i | −0.164103 | + | 0.359336i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 15.0107 | 0.785695 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.8178 | − | 12.4844i | 0.564686 | − | 0.651683i | −0.399555 | − | 0.916709i | \(-0.630835\pi\) |
0.964241 | + | 0.265027i | \(0.0853808\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.0734270 | + | 0.510696i | 0.00382246 | + | 0.0265858i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.475917 | − | 1.04211i | 0.0247084 | − | 0.0541038i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −17.1346 | −0.887195 | −0.443598 | − | 0.896226i | \(-0.646298\pi\) | ||||
−0.443598 | + | 0.896226i | \(0.646298\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −9.59339 | + | 6.16530i | −0.495401 | + | 0.318375i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.131926 | − | 0.288877i | −0.00679452 | − | 0.0148779i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 17.4771 | + | 20.1697i | 0.897739 | + | 1.03605i | 0.999151 | + | 0.0412013i | \(0.0131185\pi\) |
−0.101412 | + | 0.994845i | \(0.532336\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −6.88555 | + | 4.42508i | −0.352758 | + | 0.226704i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.63400 | + | 11.3647i | 0.0834936 | + | 0.580711i | 0.988024 | + | 0.154301i | \(0.0493127\pi\) |
−0.904530 | + | 0.426410i | \(0.859778\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.51627 | + | 1.32610i | −0.230171 | + | 0.0675842i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.840112 | + | 5.84311i | 0.0427053 | + | 0.297022i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 8.98069 | + | 19.6650i | 0.455339 | + | 0.997054i | 0.988525 | + | 0.151056i | \(0.0482673\pi\) |
−0.533186 | + | 0.845998i | \(0.679005\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −33.5444 | − | 21.5576i | −1.69641 | − | 1.09022i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.824506 | − | 5.73457i | 0.0415908 | − | 0.289271i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.679372 | + | 4.72514i | −0.0341829 | + | 0.237748i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 21.7905 | + | 14.0039i | 1.09363 | + | 0.702835i | 0.957667 | − | 0.287879i | \(-0.0929501\pi\) |
0.135965 | + | 0.990714i | \(0.456586\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3.78469 | + | 4.36777i | 0.189472 | + | 0.218662i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −24.5531 | −1.22612 | −0.613062 | − | 0.790035i | \(-0.710062\pi\) | ||||
−0.613062 | + | 0.790035i | \(0.710062\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.31943 | −0.0657257 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.941215 | − | 1.08622i | −0.0467693 | − | 0.0539747i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.23181 | + | 1.43430i | 0.110627 | + | 0.0710954i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.01392 | + | 20.9622i | −0.149029 | + | 1.03652i | 0.768786 | + | 0.639506i | \(0.220861\pi\) |
−0.917814 | + | 0.397010i | \(0.870048\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2.75493 | + | 19.1610i | −0.135891 | + | 0.945140i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −12.6697 | − | 8.14233i | −0.623436 | − | 0.400658i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.63955 | + | 5.77980i | 0.129570 | + | 0.283719i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.44990 | + | 10.0843i | 0.0710020 | + | 0.493830i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 10.2522 | − | 3.01031i | 0.500851 | − | 0.147063i | −0.0215422 | − | 0.999768i | \(-0.506858\pi\) |
0.522393 | + | 0.852705i | \(0.325039\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.43939 | − | 10.0112i | −0.0701516 | − | 0.487915i | −0.994363 | − | 0.106033i | \(-0.966185\pi\) |
0.924211 | − | 0.381882i | \(-0.124724\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −9.49377 | + | 6.10128i | −0.461603 | + | 0.296654i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 11.1137 | + | 12.8258i | 0.539092 | + | 0.622145i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.92036 | + | 6.39469i | 0.141326 | + | 0.309461i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.288594 | − | 0.185468i | 0.0139335 | − | 0.00895449i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −5.19985 | −0.250468 | −0.125234 | − | 0.992127i | \(-0.539968\pi\) | ||||
−0.125234 | + | 0.992127i | \(0.539968\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.88155 | − | 21.6376i | 0.474877 | − | 1.03984i | −0.508963 | − | 0.860788i | \(-0.669971\pi\) |
0.983840 | − | 0.179048i | \(-0.0573016\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.352912 | + | 2.45455i | 0.0169208 | + | 0.117687i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −14.8491 | + | 17.1368i | −0.710330 | + | 0.819765i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −19.7528 | −0.942750 | −0.471375 | − | 0.881933i | \(-0.656242\pi\) | ||||
−0.471375 | + | 0.881933i | \(0.656242\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.62528 | + | 3.55886i | −0.0773940 | + | 0.169469i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 16.1792 | − | 4.75064i | 0.768696 | − | 0.225710i | 0.126207 | − | 0.992004i | \(-0.459720\pi\) |
0.642490 | + | 0.766294i | \(0.277902\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −15.3816 | + | 4.51645i | −0.729159 | + | 0.214100i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −5.69405 | + | 6.57129i | −0.269319 | + | 0.310811i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 13.7556 | + | 15.8748i | 0.649165 | + | 0.749177i | 0.980967 | − | 0.194172i | \(-0.0622021\pi\) |
−0.331802 | + | 0.943349i | \(0.607657\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.922649 | + | 0.270914i | 0.0434459 | + | 0.0127569i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 9.72019 | + | 6.24678i | 0.456694 | + | 0.293499i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.446029 | − | 0.130966i | −0.0209101 | − | 0.00613977i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.39358 | − | 5.24121i | −0.111967 | − | 0.245173i | 0.845350 | − | 0.534212i | \(-0.179392\pi\) |
−0.957317 | + | 0.289039i | \(0.906664\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3.78758 | + | 4.37110i | −0.176789 | + | 0.204025i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 12.6927 | − | 27.7931i | 0.591157 | − | 1.29445i | −0.343583 | − | 0.939122i | \(-0.611641\pi\) |
0.934740 | − | 0.355332i | \(-0.115632\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.5951 | − | 11.9503i | 0.864187 | − | 0.555379i | −0.0317828 | − | 0.999495i | \(-0.510118\pi\) |
0.895969 | + | 0.444116i | \(0.146482\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 9.88548 | + | 2.90264i | 0.458428 | + | 0.134607i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.32080 | + | 9.18637i | −0.0611194 | + | 0.425095i | 0.936172 | + | 0.351542i | \(0.114343\pi\) |
−0.997291 | + | 0.0735523i | \(0.976566\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.7536 | + | 6.64930i | 0.588908 | + | 0.307036i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.988593 | + | 6.87582i | −0.0455520 | + | 0.316821i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 10.5565 | + | 3.09966i | 0.485386 | + | 0.142522i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 8.11885 | − | 5.21767i | 0.372519 | − | 0.239403i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.270845 | − | 0.593069i | 0.0124012 | − | 0.0271548i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 18.4223 | − | 21.2604i | 0.841736 | − | 0.971415i | −0.158136 | − | 0.987417i | \(-0.550549\pi\) |
0.999872 | + | 0.0160027i | \(0.00509404\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.108842 | + | 0.238330i | 0.00496275 | + | 0.0108669i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 11.6234 | + | 3.41293i | 0.528881 | + | 0.155293i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −10.8937 | − | 7.00093i | −0.494656 | − | 0.317896i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.50453 | + | 2.79078i | 0.430691 | + | 0.126462i | 0.489891 | − | 0.871784i | \(-0.337037\pi\) |
−0.0591994 | + | 0.998246i | \(0.518855\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 1.51031 | + | 1.74299i | 0.0682986 | + | 0.0788208i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −17.7494 | + | 20.4839i | −0.801019 | + | 0.924425i | −0.998437 | − | 0.0558946i | \(-0.982199\pi\) |
0.197418 | + | 0.980319i | \(0.436744\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 9.57481 | − | 2.81142i | 0.431228 | − | 0.126620i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −2.57022 | + | 0.754685i | −0.115523 | + | 0.0339206i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 3.66635 | − | 8.02819i | 0.164458 | − | 0.360114i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −23.0891 | −1.03361 | −0.516805 | − | 0.856103i | \(-0.672879\pi\) | ||||
−0.516805 | + | 0.856103i | \(0.672879\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.41923 | + | 3.94601i | −0.152760 | + | 0.176295i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −4.91782 | − | 34.2042i | −0.219275 | − | 1.52509i | −0.740726 | − | 0.671808i | \(-0.765518\pi\) |
0.521451 | − | 0.853281i | \(-0.325391\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.91480 | + | 17.3310i | −0.352204 | + | 0.771219i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −12.9661 | −0.575846 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 3.75751 | − | 2.41480i | 0.166549 | − | 0.107034i | −0.454711 | − | 0.890639i | \(-0.650258\pi\) |
0.621260 | + | 0.783605i | \(0.286621\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.62347 | + | 16.6931i | 0.337242 | + | 0.738458i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.15388 | + | 2.48571i | 0.0950960 | + | 0.109747i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 19.6449 | − | 12.6250i | 0.865657 | − | 0.556324i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.99331 | + | 20.8189i | 0.131646 | + | 0.915615i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 4.22842 | − | 1.24158i | 0.185607 | − | 0.0544992i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.11147 | + | 42.5062i | 0.267748 | + | 1.86223i | 0.469687 | + | 0.882833i | \(0.344367\pi\) |
−0.201939 | + | 0.979398i | \(0.564724\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.6860 | + | 32.1578i | 0.642172 | + | 1.40616i | 0.898241 | + | 0.439502i | \(0.144845\pi\) |
−0.256069 | + | 0.966658i | \(0.582428\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −4.33743 | − | 2.78750i | −0.189301 | − | 0.121656i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 5.90036 | − | 41.0379i | 0.257024 | − | 1.78764i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.49087 | + | 24.2795i | −0.151777 | + | 1.05563i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −7.21036 | − | 4.63382i | −0.312903 | − | 0.201091i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.0621908 | + | 0.0717720i | 0.00269378 | + | 0.00310879i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.65526 | −0.287732 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.0518581 | −0.00223784 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 4.77510 | + | 5.51076i | 0.205678 | + | 0.237365i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −15.2157 | − | 9.77851i | −0.654172 | − | 0.420411i | 0.171016 | − | 0.985268i | \(-0.445295\pi\) |
−0.825189 | + | 0.564857i | \(0.808931\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 2.22537 | − | 15.4778i | 0.0954999 | − | 0.664217i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.0918026 | − | 0.638501i | 0.00393239 | − | 0.0273504i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.525402 | + | 0.337655i | 0.0224646 | + | 0.0144371i | 0.551825 | − | 0.833960i | \(-0.313932\pi\) |
−0.529360 | + | 0.848397i | \(0.677568\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.66198 | + | 3.63923i | 0.0709317 | + | 0.155319i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.807603 | − | 5.61700i | −0.0344051 | − | 0.239292i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −5.59976 | + | 1.64424i | −0.238126 | + | 0.0699201i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.291160 | − | 2.02506i | −0.0123590 | − | 0.0859590i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −3.60844 | + | 2.31901i | −0.152895 | + | 0.0982594i | −0.614851 | − | 0.788643i | \(-0.710784\pi\) |
0.461957 | + | 0.886903i | \(0.347148\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.711554 | + | 0.821177i | 0.0300955 | + | 0.0347321i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.47800 | + | 9.80544i | 0.189061 | + | 0.413986i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 19.0279 | − | 12.2285i | 0.801929 | − | 0.515369i | −0.0743155 | − | 0.997235i | \(-0.523677\pi\) |
0.876245 | + | 0.481866i | \(0.160041\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.02616 | −0.0852410 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.729948 | − | 1.59836i | 0.0306549 | − | 0.0671249i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 1.22282 | + | 8.50493i | 0.0512635 | + | 0.356545i | 0.999267 | + | 0.0382851i | \(0.0121895\pi\) |
−0.948003 | + | 0.318260i | \(0.896901\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.51022 | + | 6.35914i | −0.230596 | + | 0.266122i | −0.859242 | − | 0.511570i | \(-0.829064\pi\) |
0.628646 | + | 0.777692i | \(0.283610\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.189230 | 0.00790520 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 8.40346 | − | 18.4010i | 0.350449 | − | 0.767375i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 22.1509 | − | 6.50410i | 0.922156 | − | 0.270769i | 0.214007 | − | 0.976832i | \(-0.431349\pi\) |
0.708149 | + | 0.706063i | \(0.249530\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −19.3101 | + | 5.66997i | −0.802502 | + | 0.235636i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −5.08705 | + | 5.87077i | −0.211046 | + | 0.243561i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.795751 | − | 0.918346i | −0.0329567 | − | 0.0380340i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.253836 | − | 0.0745330i | −0.0104948 | − | 0.00308156i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 18.7552 | + | 12.0532i | 0.774108 | + | 0.497489i | 0.867074 | − | 0.498180i | \(-0.165998\pi\) |
−0.0929652 | + | 0.995669i | \(0.529635\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −22.6219 | − | 6.64240i | −0.932121 | − | 0.273695i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −6.70282 | − | 14.6771i | −0.275717 | − | 0.603736i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 19.2790 | − | 22.2492i | 0.791695 | − | 0.913665i | −0.206200 | − | 0.978510i | \(-0.566110\pi\) |
0.997895 | + | 0.0648446i | \(0.0206552\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.06798 | − | 13.2870i | 0.248763 | − | 0.544715i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −16.3321 | + | 10.4960i | −0.668427 | + | 0.429572i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 39.1357 | + | 11.4913i | 1.59904 | + | 0.469521i | 0.955280 | − | 0.295703i | \(-0.0955539\pi\) |
0.643763 | + | 0.765225i | \(0.277372\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.26905 | + | 8.82642i | −0.0517656 | + | 0.360037i | 0.947431 | + | 0.319960i | \(0.103670\pi\) |
−0.999197 | + | 0.0400773i | \(0.987240\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 7.25812 | + | 3.78413i | 0.295574 | + | 0.154102i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.53949 | − | 10.7074i | 0.0625893 | − | 0.435318i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −29.2701 | − | 8.59448i | −1.18804 | − | 0.348839i | −0.372770 | − | 0.927924i | \(-0.621592\pi\) |
−0.815268 | + | 0.579084i | \(0.803410\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −2.55042 | + | 1.63906i | −0.103348 | + | 0.0664180i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.862911 | + | 1.88951i | −0.0349096 | + | 0.0764414i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 18.9497 | − | 21.8691i | 0.765371 | − | 0.883285i | −0.230592 | − | 0.973051i | \(-0.574066\pi\) |
0.995963 | + | 0.0897654i | \(0.0286117\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.308055 | − | 0.674545i | −0.0124220 | − | 0.0272003i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −17.7102 | − | 5.20020i | −0.712988 | − | 0.209352i | −0.0949289 | − | 0.995484i | \(-0.530262\pi\) |
−0.618059 | + | 0.786132i | \(0.712081\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.70629 | − | 4.30987i | −0.269548 | − | 0.173228i | 0.398883 | − | 0.917002i | \(-0.369398\pi\) |
−0.668432 | + | 0.743773i | \(0.733034\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.61488 | + | 1.94230i | 0.265446 | + | 0.0779420i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −12.8345 | − | 14.8118i | −0.514204 | − | 0.593423i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.12572 | − | 1.29915i | 0.0450288 | − | 0.0519660i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 5.88170 | − | 1.72702i | 0.234892 | − | 0.0689707i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −7.89942 | + | 2.31948i | −0.314971 | + | 0.0924837i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.7047 | − | 30.0091i | 0.545575 | − | 1.19464i | −0.413243 | − | 0.910621i | \(-0.635604\pi\) |
0.958818 | − | 0.284021i | \(-0.0916686\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 23.2687 | 0.924848 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 7.70372 | − | 8.89057i | 0.305713 | − | 0.352812i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.102486 | + | 0.712809i | 0.00406066 | + | 0.0282425i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 2.08653 | − | 4.56886i | 0.0825418 | − | 0.180741i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −30.9416 | −1.22212 | −0.611060 | − | 0.791585i | \(-0.709256\pi\) | ||||
−0.611060 | + | 0.791585i | \(0.709256\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −15.0314 | + | 9.66008i | −0.592780 | + | 0.380956i | −0.802365 | − | 0.596834i | \(-0.796425\pi\) |
0.209585 | + | 0.977790i | \(0.432789\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −3.52460 | − | 7.71779i | −0.138781 | − | 0.303888i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −21.8943 | − | 25.2674i | −0.860756 | − | 0.993365i | −0.999995 | − | 0.00310620i | \(-0.999011\pi\) |
0.139240 | − | 0.990259i | \(-0.455534\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −13.4384 | + | 8.63631i | −0.527502 | + | 0.339005i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.79257 | + | 12.4676i | 0.0702563 | + | 0.488644i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 38.1356 | − | 11.1976i | 1.49236 | − | 0.438197i | 0.569068 | − | 0.822290i | \(-0.307304\pi\) |
0.923294 | + | 0.384093i | \(0.125486\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.18504 | + | 8.24215i | 0.0463034 | + | 0.322047i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 4.33853 | + | 9.50006i | 0.169262 | + | 0.370633i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −23.1914 | − | 14.9042i | −0.903407 | − | 0.580585i | 0.00439157 | − | 0.999990i | \(-0.498602\pi\) |
−0.907799 | + | 0.419406i | \(0.862238\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.80686 | + | 33.4325i | −0.186965 | + | 1.30037i | 0.652845 | + | 0.757492i | \(0.273575\pi\) |
−0.839810 | + | 0.542880i | \(0.817334\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.151508 | + | 1.05376i | −0.00588406 | + | 0.0409246i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −6.98793 | − | 4.49087i | −0.270980 | − | 0.174148i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.78942 | − | 8.98947i | −0.301607 | − | 0.348074i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −10.9241 | −0.422349 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 7.45647 | 0.287854 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −10.5420 | − | 12.1662i | −0.406366 | − | 0.468971i | 0.515269 | − | 0.857028i | \(-0.327692\pi\) |
−0.921635 | + | 0.388057i | \(0.873146\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −2.46844 | − | 1.58637i | −0.0950103 | − | 0.0610594i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −2.20850 | + | 15.3604i | −0.0848794 | + | 0.590349i | 0.902345 | + | 0.431014i | \(0.141844\pi\) |
−0.987225 | + | 0.159335i | \(0.949065\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.25303 | − | 15.6702i | 0.0864633 | − | 0.601366i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −15.9564 | − | 10.2546i | −0.611452 | − | 0.392956i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −9.96933 | − | 21.8298i | −0.381466 | − | 0.835294i | −0.998818 | − | 0.0486068i | \(-0.984522\pi\) |
0.617352 | − | 0.786687i | \(-0.288205\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.95959 | − | 27.5396i | −0.151288 | − | 1.05223i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −24.0406 | + | 7.05895i | −0.917205 | + | 0.269316i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −0.0170789 | − | 0.118787i | −0.000650656 | − | 0.00452541i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.0801 | − | 7.12076i | 0.421508 | − | 0.270886i | −0.312646 | − | 0.949870i | \(-0.601215\pi\) |
0.734154 | + | 0.678983i | \(0.237579\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.14461 | − | 2.47501i | −0.0814669 | − | 0.0940178i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −6.08290 | − | 13.3197i | −0.230738 | − | 0.505245i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.51041 | + | 1.61334i | −0.0950886 | + | 0.0611098i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 6.07343 | 0.229718 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 11.6084 | − | 25.4189i | 0.438444 | − | 0.960057i | −0.553438 | − | 0.832890i | \(-0.686684\pi\) |
0.991881 | − | 0.127167i | \(-0.0405884\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.666290 | + | 4.63415i | 0.0251296 | + | 0.174780i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 10.6219 | − | 12.2583i | 0.400043 | − | 0.461674i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −23.2931 | −0.876028 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.72768 | + | 8.16247i | −0.139996 | + | 0.306548i | −0.966624 | − | 0.256201i | \(-0.917529\pi\) |
0.826628 | + | 0.562749i | \(0.190256\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −3.18684 | + | 0.935740i | −0.119516 | + | 0.0350930i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −47.4174 | + | 13.9230i | −1.77580 | + | 0.521421i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.322886 | + | 0.372630i | −0.0120753 | + | 0.0139356i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 1.33043 | + | 1.53540i | 0.0496860 | + | 0.0573407i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −25.8275 | − | 7.58365i | −0.963204 | − | 0.282822i | −0.237930 | − | 0.971282i | \(-0.576469\pi\) |
−0.725274 | + | 0.688460i | \(0.758287\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 24.0170 | + | 15.4348i | 0.894441 | + | 0.574822i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.588255 | + | 0.172727i | 0.0218774 | + | 0.00642380i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2.10307 | + | 4.60508i | 0.0781061 | + | 0.171028i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.86237 | − | 9.07366i | 0.291599 | − | 0.336523i | −0.590981 | − | 0.806686i | \(-0.701259\pi\) |
0.882580 | + | 0.470162i | \(0.155805\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −28.7228 | + | 18.4590i | −1.06235 | + | 0.682731i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 22.4757 | + | 6.59946i | 0.830159 | + | 0.243757i | 0.669085 | − | 0.743186i | \(-0.266686\pi\) |
0.161074 | + | 0.986942i | \(0.448504\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.800267 | − | 5.56598i | 0.0295183 | − | 0.205304i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 12.0348 | − | 9.37513i | 0.443309 | − | 0.345337i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.71490 | + | 39.7480i | −0.210226 | + | 1.46216i | 0.562174 | + | 0.827019i | \(0.309965\pi\) |
−0.772400 | + | 0.635136i | \(0.780944\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.580879 | + | 0.170561i | 0.0213391 | + | 0.00626573i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.8863 | − | 9.56685i | 0.546126 | − | 0.350974i | −0.238305 | − | 0.971190i | \(-0.576592\pi\) |
0.784431 | + | 0.620217i | \(0.212955\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5.19152 | − | 11.3678i | 0.190203 | − | 0.416485i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −2.89505 | + | 3.34107i | −0.105924 | + | 0.122243i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −3.38000 | − | 7.40117i | −0.123503 | − | 0.270433i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −21.9252 | − | 6.43781i | −0.800061 | − | 0.234919i | −0.143951 | − | 0.989585i | \(-0.545981\pi\) |
−0.656110 | + | 0.754666i | \(0.727799\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 3.95550 | + | 2.54204i | 0.144146 | + | 0.0926372i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −15.9342 | − | 4.67869i | −0.579904 | − | 0.170275i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 19.3073 | + | 22.2818i | 0.701735 | + | 0.809846i | 0.988986 | − | 0.148010i | \(-0.0472867\pi\) |
−0.287251 | + | 0.957855i | \(0.592741\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 8.41430 | − | 9.71062i | 0.305420 | − | 0.352473i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −7.94129 | + | 2.33177i | −0.287872 | + | 0.0845267i | −0.422480 | − | 0.906372i | \(-0.638840\pi\) |
0.134609 | + | 0.990899i | \(0.457022\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.756687 | − | 0.222183i | 0.0273939 | − | 0.00804358i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 3.45330 | − | 7.56167i | 0.124854 | − | 0.273393i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.57762 | −0.0569645 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13.6241 | − | 15.7230i | 0.491297 | − | 0.566987i | −0.454915 | − | 0.890535i | \(-0.650330\pi\) |
0.946212 | + | 0.323548i | \(0.104876\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.64910 | + | 11.4697i | 0.0593909 | + | 0.413073i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 10.8058 | − | 23.6615i | 0.388659 | − | 0.851044i | −0.609637 | − | 0.792681i | \(-0.708685\pi\) |
0.998295 | − | 0.0583628i | \(-0.0185880\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 21.0335 | 0.755546 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 2.10415 | − | 1.35226i | 0.0754861 | − | 0.0485120i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.704953 | + | 1.54363i | 0.0252575 | + | 0.0553063i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.13028 | − | 7.07472i | −0.219359 | − | 0.253153i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.45145 | + | 0.932792i | −0.0518707 | + | 0.0333353i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −1.42088 | − | 9.88244i | −0.0507134 | − | 0.352719i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.43598 | + | 1.00889i | −0.122479 | + | 0.0359632i | −0.342398 | − | 0.939555i | \(-0.611239\pi\) |
0.219918 | + | 0.975518i | \(0.429421\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 2.94781 | + | 20.5025i | 0.104945 | + | 0.729908i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −1.02902 | − | 2.25324i | −0.0365878 | − | 0.0801161i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.619502 | + | 0.398130i | 0.0219992 | + | 0.0141380i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.133361 | + | 0.927547i | −0.00472983 | + | 0.0328967i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 3.11826 | − | 21.6880i | 0.110454 | − | 0.768228i | −0.857024 | − | 0.515276i | \(-0.827690\pi\) |
0.967479 | − | 0.252952i | \(-0.0814014\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −54.9100 | − | 35.2885i | −1.94258 | − | 1.24842i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −7.30415 | − | 8.42944i | −0.258079 | − | 0.297839i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 19.4648 | 0.686898 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −17.4112 | −0.613665 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −6.04652 | − | 6.97805i | −0.212847 | − | 0.245639i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 20.6919 | + | 13.2979i | 0.727488 | + | 0.467528i | 0.851234 | − | 0.524786i | \(-0.175855\pi\) |
−0.123746 | + | 0.992314i | \(0.539491\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −3.91974 | + | 27.2624i | −0.137641 | + | 0.957313i | 0.797571 | + | 0.603225i | \(0.206118\pi\) |
−0.935212 | + | 0.354088i | \(0.884791\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 2.62340 | − | 18.2462i | 0.0920068 | − | 0.639921i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −2.78859 | − | 1.79212i | −0.0976799 | − | 0.0627751i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 8.06569 | + | 17.6614i | 0.282183 | + | 0.617894i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.0460290 | − | 0.320139i | −0.00160838 | − | 0.0111865i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −11.5426 | + | 3.38921i | −0.402839 | + | 0.118284i | −0.476875 | − | 0.878971i | \(-0.658230\pi\) |
0.0740353 | + | 0.997256i | \(0.476412\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.37161 | − | 37.3604i | −0.187243 | − | 1.30230i | −0.839107 | − | 0.543966i | \(-0.816922\pi\) |
0.651865 | − | 0.758335i | \(-0.273987\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −4.60057 | + | 2.95661i | −0.160171 | + | 0.102936i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 15.4905 | + | 17.8770i | 0.538656 | + | 0.621643i | 0.958202 | − | 0.286091i | \(-0.0923561\pi\) |
−0.419546 | + | 0.907734i | \(0.637811\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.3858 | + | 27.1211i | 0.430177 | + | 0.941956i | 0.993298 | + | 0.115582i | \(0.0368732\pi\) |
−0.563121 | + | 0.826374i | \(0.690400\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 11.4847 | − | 7.38080i | 0.398401 | − | 0.256037i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −22.6286 | −0.784033 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.11747 | − | 6.82630i | 0.107884 | − | 0.236234i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.02016 | + | 7.09534i | 0.0352617 | + | 0.245251i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 22.9785 | − | 26.5187i | 0.793308 | − | 0.915526i | −0.204687 | − | 0.978828i | \(-0.565618\pi\) |
0.997994 | + | 0.0633017i | \(0.0201630\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.0232 | −0.897351 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.978022 | − | 2.14157i | 0.0336849 | − | 0.0737596i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 17.8810 | − | 5.25033i | 0.615125 | − | 0.180617i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 12.6894 | − | 3.72593i | 0.436011 | − | 0.128024i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 10.1816 | − | 11.7502i | 0.349431 | − | 0.403264i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.42644 | + | 7.41650i | 0.220295 | + | 0.254234i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −29.5493 | − | 8.67646i | −1.01175 | − | 0.297076i | −0.266480 | − | 0.963840i | \(-0.585861\pi\) |
−0.745269 | + | 0.666764i | \(0.767679\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −3.97685 | − | 2.55576i | −0.136005 | − | 0.0874053i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −52.8280 | − | 15.5117i | −1.80457 | − | 0.529869i | −0.806457 | − | 0.591293i | \(-0.798618\pi\) |
−0.998112 | + | 0.0614240i | \(0.980436\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −21.3405 | − | 46.7292i | −0.728128 | − | 1.59438i | −0.802151 | − | 0.597122i | \(-0.796311\pi\) |
0.0740226 | − | 0.997257i | \(-0.476416\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.593696 | − | 0.685162i | 0.0202331 | − | 0.0233503i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 4.05883 | − | 8.88759i | 0.138164 | − | 0.302537i | −0.827884 | − | 0.560899i | \(-0.810455\pi\) |
0.966048 | + | 0.258362i | \(0.0831828\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5.32848 | + | 3.42441i | −0.181174 | + | 0.116433i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −15.7858 | − | 4.63512i | −0.536113 | − | 0.157417i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −0.880962 | + | 6.12723i | −0.0298846 | + | 0.207852i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.50046 | − | 0.136323i | 0.0508411 | − | 0.00461912i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 1.28220 | − | 8.91793i | 0.0433960 | − | 0.301826i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 19.2263 | + | 5.64536i | 0.649969 | + | 0.190848i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 17.0844 | − | 10.9795i | 0.576900 | − | 0.370751i | −0.219416 | − | 0.975631i | \(-0.570415\pi\) |
0.796317 | + | 0.604880i | \(0.206779\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −5.25835 | + | 11.5142i | −0.177360 | + | 0.388364i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −3.38993 | + | 3.91219i | −0.114210 | + | 0.131805i | −0.809975 | − | 0.586464i | \(-0.800520\pi\) |
0.695766 | + | 0.718269i | \(0.255065\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −17.8352 | − | 39.0536i | −0.600202 | − | 1.31426i | −0.929077 | − | 0.369885i | \(-0.879397\pi\) |
0.328876 | − | 0.944373i | \(-0.393330\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 11.8198 | + | 3.47062i | 0.397320 | + | 0.116664i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1.22899 | + | 0.789823i | 0.0412654 | + | 0.0265197i | 0.561111 | − | 0.827741i | \(-0.310374\pi\) |
−0.519845 | + | 0.854260i | \(0.674010\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 13.7995 | + | 4.05190i | 0.462820 | + | 0.135896i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.22050 | − | 1.40853i | −0.0408883 | − | 0.0471876i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −24.3071 | + | 28.0519i | −0.813406 | + | 0.938720i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.0715151 | − | 0.0209987i | 0.00239049 | − | 0.000701911i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.21757 | − | 0.357510i | 0.0406534 | − | 0.0119369i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 5.13777 | − | 11.2501i | 0.171354 | − | 0.375213i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.77096 | 0.125629 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 6.79275 | − | 7.83925i | 0.226049 | − | 0.260874i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 3.19847 | + | 22.2459i | 0.106321 | + | 0.739478i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 11.3089 | − | 24.7630i | 0.375506 | − | 0.822243i | −0.623672 | − | 0.781686i | \(-0.714360\pi\) |
0.999177 | − | 0.0405563i | \(-0.0129130\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −13.2562 | −0.439679 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −13.6824 | + | 8.79317i | −0.453319 | + | 0.291331i | −0.747307 | − | 0.664478i | \(-0.768654\pi\) |
0.293988 | + | 0.955809i | \(0.405017\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.42278 | + | 7.49484i | 0.113277 | + | 0.248043i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −3.76559 | − | 4.34572i | −0.124487 | − | 0.143665i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −8.56407 | + | 5.50379i | −0.282811 | + | 0.181751i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.31850 | + | 16.1255i | 0.0764802 | + | 0.531931i | 0.991660 | + | 0.128885i | \(0.0411397\pi\) |
−0.915179 | + | 0.403047i | \(0.867951\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 23.9234 | − | 7.02455i | 0.788303 | − | 0.231467i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −0.131572 | − | 0.915105i | −0.00433075 | − | 0.0301210i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.73508 | − | 3.79929i | −0.0570490 | − | 0.124920i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 13.6681 | + | 8.78398i | 0.448921 | + | 0.288504i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −0.0237808 | + | 0.165399i | −0.000780223 | + | 0.00542657i | −0.990208 | − | 0.139601i | \(-0.955418\pi\) |
0.989428 | + | 0.145028i | \(0.0463271\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.83133 | + | 12.7372i | −0.0600194 | + | 0.417444i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −11.0344 | − | 7.09137i | −0.361250 | − | 0.232161i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −10.1459 | − | 11.7090i | −0.331806 | − | 0.382925i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 23.1949 | 0.757745 | 0.378872 | − | 0.925449i | \(-0.376312\pi\) | ||||
0.378872 | + | 0.925449i | \(0.376312\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −10.2481 | −0.334435 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 13.4691 | + | 15.5441i | 0.439079 | + | 0.506724i | 0.931554 | − | 0.363602i | \(-0.118453\pi\) |
−0.492475 | + | 0.870326i | \(0.663908\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.99235 | + | 1.92307i | 0.0974444 | + | 0.0626237i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.359418 | + | 2.49981i | −0.0116919 | + | 0.0813187i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −1.07324 | + | 7.46457i | −0.0348757 | + | 0.242566i | −0.999801 | − | 0.0199594i | \(-0.993646\pi\) |
0.964925 | + | 0.262525i | \(0.0845554\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.61718 | + | 1.03930i | 0.0524960 | + | 0.0337371i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 3.46942 | + | 7.59697i | 0.112504 | + | 0.246348i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 1.15067 | + | 8.00307i | 0.0372738 | + | 0.259245i | 0.999934 | − | 0.0114668i | \(-0.00365008\pi\) |
−0.962660 | + | 0.270712i | \(0.912741\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.260959 | + | 0.0766244i | −0.00844442 | + | 0.00247951i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.457631 | + | 3.18289i | 0.0147931 | + | 0.102888i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 28.6152 | − | 18.3899i | 0.924033 | − | 0.593840i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.3490 | − | 15.4056i | −0.430614 | − | 0.496955i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −1.92357 | − | 4.21202i | −0.0619861 | − | 0.135731i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 24.3338 | − | 15.6384i | 0.783333 | − | 0.503418i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −17.8601 | −0.574343 | −0.287171 | − | 0.957879i | \(-0.592715\pi\) | ||||
−0.287171 | + | 0.957879i | \(0.592715\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −7.90254 | + | 17.3041i | −0.253866 | + | 0.555889i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 7.69606 | + | 53.5273i | 0.246978 | + | 1.71777i | 0.615486 | + | 0.788148i | \(0.288960\pi\) |
−0.368508 | + | 0.929625i | \(0.620131\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 11.7232 | − | 13.5293i | 0.375829 | − | 0.433730i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.540092 | −0.0172968 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −11.6137 | + | 25.4305i | −0.371556 | + | 0.813593i | 0.627823 | + | 0.778356i | \(0.283946\pi\) |
−0.999379 | + | 0.0352373i | \(0.988781\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −19.9458 | + | 5.85662i | −0.637471 | + | 0.187178i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.430633 | − | 0.126445i | 0.0137490 | − | 0.00403708i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −30.6478 | + | 35.3694i | −0.977512 | + | 1.12811i | 0.0142345 | + | 0.999899i | \(0.495469\pi\) |
−0.991747 | + | 0.128211i | \(0.959077\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 15.1867 | + | 17.5264i | 0.483889 | + | 0.558438i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 19.0267 | + | 5.58674i | 0.605626 | + | 0.177828i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 34.2369 | + | 22.0027i | 1.08867 | + | 0.699646i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 23.4526 | + | 6.88631i | 0.744997 | + | 0.218751i | 0.632133 | − | 0.774860i | \(-0.282180\pi\) |
0.112864 | + | 0.993610i | \(0.463998\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −8.61808 | − | 18.8710i | −0.273486 | − | 0.598852i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 18.2727 | − | 21.0878i | 0.579284 | − | 0.668529i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −16.6815 | + | 36.5275i | −0.528310 | + | 1.15684i | 0.437887 | + | 0.899030i | \(0.355727\pi\) |
−0.966196 | + | 0.257807i | \(0.917000\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.19748 | − | 0.769573i | 0.0378866 | − | 0.0243482i |
(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 | 804.2.q.a.193.5 | yes | 60 | |
67.25 | even | 11 | inner | 804.2.q.a.25.5 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.q.a.25.5 | ✓ | 60 | 67.25 | even | 11 | inner | |
804.2.q.a.193.5 | yes | 60 | 1.1 | even | 1 | trivial |