Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,2,Mod(55,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.i (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: | \(3.30580664368\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 8 x^{18} + 53 x^{16} + 358 x^{14} + 1753 x^{12} + 7149 x^{10} + 23268 x^{8} + 37292 x^{6} + \cdots + 58081 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 307.2 | ||
Root | \(-1.36939 - 1.58036i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 414.307 |
Dual form | 414.2.i.g.325.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | + | 0.989821i | −0.100632 | + | 0.699909i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.959493 | − | 0.281733i | −0.479746 | − | 0.140866i | ||||
\(5\) | −0.144371 | − | 0.166613i | −0.0645646 | − | 0.0745115i | 0.722548 | − | 0.691320i | \(-0.242971\pi\) |
−0.787113 | + | 0.616809i | \(0.788425\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.90511 | − | 1.86700i | −1.09803 | − | 0.705660i | −0.139376 | − | 0.990239i | \(-0.544510\pi\) |
−0.958653 | + | 0.284579i | \(0.908146\pi\) | |||||||
\(8\) | 0.415415 | − | 0.909632i | 0.146871 | − | 0.321603i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.185463 | − | 0.119190i | 0.0586486 | − | 0.0376911i | ||||
\(11\) | 0.752921 | + | 5.23668i | 0.227014 | + | 1.57892i | 0.710583 | + | 0.703613i | \(0.248431\pi\) |
−0.483569 | + | 0.875306i | \(0.660660\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.58133 | + | 3.58690i | −1.54798 | + | 0.994828i | −0.562161 | + | 0.827028i | \(0.690030\pi\) |
−0.985821 | + | 0.167800i | \(0.946334\pi\) | |||||||
\(14\) | 2.26144 | − | 2.60984i | 0.604395 | − | 0.697509i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | −4.80693 | + | 1.41144i | −1.16585 | + | 0.342325i | −0.806704 | − | 0.590956i | \(-0.798751\pi\) |
−0.359148 | + | 0.933281i | \(0.616933\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.97286 | − | 1.16654i | −0.911437 | − | 0.267622i | −0.207791 | − | 0.978173i | \(-0.566627\pi\) |
−0.703646 | + | 0.710551i | \(0.748446\pi\) | |||||||
\(20\) | 0.0915825 | + | 0.200538i | 0.0204785 | + | 0.0448416i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.29053 | −1.12795 | ||||||||
\(23\) | −1.48083 | + | 4.56148i | −0.308775 | + | 0.951135i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.704657 | − | 4.90100i | 0.140931 | − | 0.980200i | ||||
\(26\) | −2.75609 | − | 6.03499i | −0.540513 | − | 1.18356i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.26144 | + | 2.60984i | 0.427372 | + | 0.493213i | ||||
\(29\) | 9.00371 | − | 2.64373i | 1.67195 | − | 0.490928i | 0.697696 | − | 0.716394i | \(-0.254208\pi\) |
0.974251 | + | 0.225465i | \(0.0723903\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.780797 | − | 1.70971i | 0.140235 | − | 0.307073i | −0.826463 | − | 0.562991i | \(-0.809651\pi\) |
0.966698 | + | 0.255918i | \(0.0823778\pi\) | |||||||
\(32\) | −0.654861 | + | 0.755750i | −0.115764 | + | 0.133599i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.712978 | − | 4.95887i | −0.122275 | − | 0.850440i | ||||
\(35\) | 0.108347 | + | 0.753569i | 0.0183140 | + | 0.127376i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.918627 | + | 1.06015i | −0.151021 | + | 0.174288i | −0.826219 | − | 0.563349i | \(-0.809513\pi\) |
0.675198 | + | 0.737637i | \(0.264058\pi\) | |||||||
\(38\) | 1.72006 | − | 3.76641i | 0.279031 | − | 0.610992i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.211530 | + | 0.0621109i | −0.0334459 | + | 0.00982059i | ||||
\(41\) | −5.30573 | − | 6.12314i | −0.828616 | − | 0.956273i | 0.170964 | − | 0.985277i | \(-0.445312\pi\) |
−0.999579 | + | 0.0290040i | \(0.990766\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.51819 | + | 7.70376i | 0.536519 | + | 1.17481i | 0.962798 | + | 0.270221i | \(0.0870968\pi\) |
−0.426279 | + | 0.904592i | \(0.640176\pi\) | |||||||
\(44\) | 0.752921 | − | 5.23668i | 0.113507 | − | 0.789460i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.30431 | − | 2.11493i | −0.634636 | − | 0.311829i | ||||
\(47\) | −4.00642 | −0.584397 | −0.292198 | − | 0.956358i | \(-0.594387\pi\) | ||||
−0.292198 | + | 0.956358i | \(0.594387\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.04607 | + | 4.48027i | 0.292296 | + | 0.640038i | ||||
\(50\) | 4.75083 | + | 1.39497i | 0.671869 | + | 0.197279i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 6.36579 | − | 1.86917i | 0.882777 | − | 0.259207i | ||||
\(53\) | 5.79150 | + | 3.72197i | 0.795524 | + | 0.511252i | 0.874152 | − | 0.485652i | \(-0.161418\pi\) |
−0.0786285 | + | 0.996904i | \(0.525054\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.763799 | − | 0.881471i | 0.102991 | − | 0.118857i | ||||
\(56\) | −2.90511 | + | 1.86700i | −0.388212 | + | 0.249489i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.33546 | + | 9.28831i | 0.175354 | + | 1.21961i | ||||
\(59\) | −10.8267 | + | 6.95787i | −1.40951 | + | 0.905838i | −0.999979 | − | 0.00645778i | \(-0.997944\pi\) |
−0.409532 | + | 0.912296i | \(0.634308\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.14249 | − | 11.2605i | 0.658429 | − | 1.44176i | −0.225551 | − | 0.974231i | \(-0.572418\pi\) |
0.883979 | − | 0.467526i | \(-0.154855\pi\) | |||||||
\(62\) | 1.58119 | + | 1.01617i | 0.200811 | + | 0.129053i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.654861 | − | 0.755750i | −0.0818576 | − | 0.0944687i | ||||
\(65\) | 1.40340 | + | 0.412077i | 0.174071 | + | 0.0511118i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.339613 | + | 2.36206i | −0.0414903 | + | 0.288572i | 0.958504 | + | 0.285081i | \(0.0920203\pi\) |
−0.999994 | + | 0.00349110i | \(0.998889\pi\) | |||||||
\(68\) | 5.00987 | 0.607536 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.761318 | −0.0909949 | ||||||||
\(71\) | 0.489545 | − | 3.40486i | 0.0580984 | − | 0.404083i | −0.939933 | − | 0.341360i | \(-0.889112\pi\) |
0.998031 | − | 0.0627229i | \(-0.0199784\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.30659 | − | 0.383649i | −0.152925 | − | 0.0449027i | 0.204374 | − | 0.978893i | \(-0.434484\pi\) |
−0.357299 | + | 0.933990i | \(0.616302\pi\) | |||||||
\(74\) | −0.918627 | − | 1.06015i | −0.106788 | − | 0.123240i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.48328 | + | 2.23857i | 0.399560 | + | 0.256781i | ||||
\(77\) | 7.58958 | − | 16.6189i | 0.864912 | − | 1.89389i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.440420 | − | 0.283041i | 0.0495511 | − | 0.0318446i | −0.515631 | − | 0.856811i | \(-0.672442\pi\) |
0.565182 | + | 0.824966i | \(0.308806\pi\) | |||||||
\(80\) | −0.0313748 | − | 0.218216i | −0.00350781 | − | 0.0243973i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 6.81590 | − | 4.38031i | 0.752690 | − | 0.483724i | ||||
\(83\) | −4.44952 | + | 5.13502i | −0.488398 | + | 0.563642i | −0.945437 | − | 0.325805i | \(-0.894365\pi\) |
0.457039 | + | 0.889447i | \(0.348910\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.929145 | + | 0.597125i | 0.100780 | + | 0.0647673i | ||||
\(86\) | −8.12604 | + | 2.38602i | −0.876253 | + | 0.257291i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.07623 | + | 1.49052i | 0.541128 | + | 0.158889i | ||||
\(89\) | 4.40900 | + | 9.65436i | 0.467353 | + | 1.02336i | 0.985749 | + | 0.168220i | \(0.0538019\pi\) |
−0.518396 | + | 0.855140i | \(0.673471\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 22.9111 | 2.40174 | ||||||||
\(92\) | 2.70597 | − | 3.95951i | 0.282117 | − | 0.412808i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.570173 | − | 3.96564i | 0.0588089 | − | 0.409025i | ||||
\(95\) | 0.379205 | + | 0.830343i | 0.0389056 | + | 0.0851914i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.92412 | + | 7.99086i | 0.703038 | + | 0.811349i | 0.989160 | − | 0.146844i | \(-0.0469115\pi\) |
−0.286121 | + | 0.958193i | \(0.592366\pi\) | |||||||
\(98\) | −4.72585 | + | 1.38764i | −0.477383 | + | 0.140172i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.05688 | + | 4.50395i | −0.205688 | + | 0.450395i | ||||
\(101\) | −3.98647 | + | 4.60064i | −0.396669 | + | 0.457780i | −0.918589 | − | 0.395214i | \(-0.870670\pi\) |
0.521920 | + | 0.852994i | \(0.325216\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.344276 | + | 2.39450i | 0.0339226 | + | 0.235937i | 0.999728 | − | 0.0233322i | \(-0.00742753\pi\) |
−0.965805 | + | 0.259269i | \(0.916518\pi\) | |||||||
\(104\) | 0.944193 | + | 6.56701i | 0.0925858 | + | 0.643948i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.50830 | + | 5.20286i | −0.437885 | + | 0.505346i | ||||
\(107\) | −2.11933 | + | 4.64068i | −0.204883 | + | 0.448632i | −0.983982 | − | 0.178270i | \(-0.942950\pi\) |
0.779098 | + | 0.626902i | \(0.215677\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.31586 | − | 0.973624i | 0.317602 | − | 0.0932562i | −0.119046 | − | 0.992889i | \(-0.537984\pi\) |
0.436648 | + | 0.899632i | \(0.356166\pi\) | |||||||
\(110\) | 0.763799 | + | 0.881471i | 0.0728253 | + | 0.0840449i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.43456 | − | 3.14124i | −0.135553 | − | 0.296820i | ||||
\(113\) | −0.574492 | + | 3.99568i | −0.0540437 | + | 0.375882i | 0.944793 | + | 0.327667i | \(0.106262\pi\) |
−0.998837 | + | 0.0482151i | \(0.984647\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.973791 | − | 0.411819i | 0.0908064 | − | 0.0384024i | ||||
\(116\) | −9.38382 | −0.871266 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −5.34626 | − | 11.7067i | −0.492163 | − | 1.07769i | ||||
\(119\) | 16.5998 | + | 4.87415i | 1.52170 | + | 0.446813i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −16.3015 | + | 4.78656i | −1.48196 | + | 0.435142i | ||||
\(122\) | 10.4140 | + | 6.69268i | 0.942841 | + | 0.605927i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.23085 | + | 1.42048i | −0.110534 | + | 0.127563i | ||||
\(125\) | −1.84562 | + | 1.18611i | −0.165077 | + | 0.106089i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.09947 | − | 14.6022i | −0.186298 | − | 1.29573i | −0.841491 | − | 0.540271i | \(-0.818322\pi\) |
0.655193 | − | 0.755461i | \(-0.272587\pi\) | |||||||
\(128\) | 0.841254 | − | 0.540641i | 0.0743570 | − | 0.0477863i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.607608 | + | 1.33048i | −0.0532907 | + | 0.116690i | ||||
\(131\) | 9.78066 | + | 6.28565i | 0.854541 | + | 0.549180i | 0.892988 | − | 0.450081i | \(-0.148605\pi\) |
−0.0384473 | + | 0.999261i | \(0.512241\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 9.36368 | + | 10.8063i | 0.811934 | + | 0.937021i | ||||
\(134\) | −2.28969 | − | 0.672313i | −0.197799 | − | 0.0580790i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.712978 | + | 4.95887i | −0.0611374 | + | 0.425220i | ||||
\(137\) | −4.73449 | −0.404495 | −0.202247 | − | 0.979334i | \(-0.564824\pi\) | ||||
−0.202247 | + | 0.979334i | \(0.564824\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.2073 | −1.03541 | −0.517706 | − | 0.855559i | \(-0.673214\pi\) | ||||
−0.517706 | + | 0.855559i | \(0.673214\pi\) | |||||||
\(140\) | 0.108347 | − | 0.753569i | 0.00915698 | − | 0.0636882i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.30054 | + | 0.969125i | 0.276975 | + | 0.0813272i | ||||
\(143\) | −22.9858 | − | 26.5270i | −1.92217 | − | 2.21830i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.74035 | − | 1.11846i | −0.144528 | − | 0.0928828i | ||||
\(146\) | 0.565691 | − | 1.23869i | 0.0468169 | − | 0.102515i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.18009 | − | 0.758401i | 0.0970032 | − | 0.0623402i | ||||
\(149\) | −2.45008 | − | 17.0407i | −0.200718 | − | 1.39603i | −0.802160 | − | 0.597110i | \(-0.796316\pi\) |
0.601441 | − | 0.798917i | \(-0.294593\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.96138 | − | 1.90316i | 0.240994 | − | 0.154877i | −0.414569 | − | 0.910018i | \(-0.636068\pi\) |
0.655563 | + | 0.755141i | \(0.272431\pi\) | |||||||
\(152\) | −2.71151 | + | 3.12924i | −0.219932 | + | 0.253815i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 15.3696 | + | 9.87743i | 1.23852 | + | 0.795946i | ||||
\(155\) | −0.397584 | + | 0.116741i | −0.0319347 | + | 0.00937687i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.67026 | + | 2.25219i | 0.612153 | + | 0.179744i | 0.573090 | − | 0.819492i | \(-0.305744\pi\) |
0.0390632 | + | 0.999237i | \(0.487563\pi\) | |||||||
\(158\) | 0.217481 | + | 0.476218i | 0.0173019 | + | 0.0378859i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.220460 | 0.0174289 | ||||||||
\(161\) | 12.8183 | − | 10.4869i | 1.01022 | − | 0.826483i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.65406 | + | 11.5042i | −0.129556 | + | 0.901082i | 0.816562 | + | 0.577258i | \(0.195877\pi\) |
−0.946118 | + | 0.323823i | \(0.895032\pi\) | |||||||
\(164\) | 3.36572 | + | 7.36990i | 0.262819 | + | 0.575493i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.44952 | − | 5.13502i | −0.345350 | − | 0.398555i | ||||
\(167\) | 4.53761 | − | 1.33236i | 0.351131 | − | 0.103101i | −0.101411 | − | 0.994845i | \(-0.532336\pi\) |
0.452542 | + | 0.891743i | \(0.350517\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.8850 | − | 28.2141i | 0.991151 | − | 2.17032i | ||||
\(170\) | −0.723279 | + | 0.834708i | −0.0554729 | + | 0.0640192i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.20528 | − | 8.38289i | −0.0919016 | − | 0.639190i | ||||
\(173\) | −1.58917 | − | 11.0529i | −0.120823 | − | 0.840339i | −0.956628 | − | 0.291313i | \(-0.905908\pi\) |
0.835805 | − | 0.549026i | \(-0.185001\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −11.1973 | + | 12.9224i | −0.846435 | + | 0.976838i | ||||
\(176\) | −2.19777 | + | 4.81244i | −0.165663 | + | 0.362751i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −10.1836 | + | 2.99016i | −0.763290 | + | 0.224122i | ||||
\(179\) | 5.66522 | + | 6.53801i | 0.423438 | + | 0.488674i | 0.926881 | − | 0.375355i | \(-0.122479\pi\) |
−0.503443 | + | 0.864028i | \(0.667934\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.15569 | − | 9.09969i | −0.308890 | − | 0.676375i | 0.689984 | − | 0.723825i | \(-0.257618\pi\) |
−0.998874 | + | 0.0474504i | \(0.984890\pi\) | |||||||
\(182\) | −3.26059 | + | 22.6779i | −0.241691 | + | 1.68100i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.53411 | + | 3.24192i | 0.260538 | + | 0.238998i | ||||
\(185\) | 0.309258 | 0.0227371 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −11.0105 | − | 24.1097i | −0.805169 | − | 1.76307i | ||||
\(188\) | 3.84413 | + | 1.12874i | 0.280362 | + | 0.0823218i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.875858 | + | 0.257175i | −0.0635414 | + | 0.0186575i | ||||
\(191\) | 10.0986 | + | 6.49000i | 0.730712 | + | 0.469600i | 0.852348 | − | 0.522975i | \(-0.175178\pi\) |
−0.121636 | + | 0.992575i | \(0.538814\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −12.8340 | + | 14.8112i | −0.923808 | + | 1.06613i | 0.0738182 | + | 0.997272i | \(0.476482\pi\) |
−0.997626 | + | 0.0688598i | \(0.978064\pi\) | |||||||
\(194\) | −8.89493 | + | 5.71643i | −0.638619 | + | 0.410416i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.700952 | − | 4.87523i | −0.0500680 | − | 0.348231i | ||||
\(197\) | 8.50925 | − | 5.46856i | 0.606259 | − | 0.389619i | −0.201194 | − | 0.979551i | \(-0.564482\pi\) |
0.807452 | + | 0.589933i | \(0.200846\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.59783 | + | 16.6369i | −0.538596 | + | 1.17936i | 0.423311 | + | 0.905984i | \(0.360868\pi\) |
−0.961907 | + | 0.273377i | \(0.911860\pi\) | |||||||
\(200\) | −4.16538 | − | 2.67693i | −0.294537 | − | 0.189287i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.98647 | − | 4.60064i | −0.280487 | − | 0.323700i | ||||
\(203\) | −31.0926 | − | 9.12962i | −2.18228 | − | 0.640774i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.254201 | + | 1.76800i | −0.0177541 | + | 0.123483i | ||||
\(206\) | −2.41912 | −0.168548 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −6.63454 | −0.460022 | ||||||||
\(209\) | 3.11753 | − | 21.6829i | 0.215644 | − | 1.49984i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −24.8128 | − | 7.28568i | −1.70818 | − | 0.501567i | −0.725713 | − | 0.687998i | \(-0.758490\pi\) |
−0.982468 | + | 0.186431i | \(0.940308\pi\) | |||||||
\(212\) | −4.50830 | − | 5.20286i | −0.309632 | − | 0.357334i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −4.29184 | − | 2.75820i | −0.293384 | − | 0.188546i | ||||
\(215\) | 0.775621 | − | 1.69837i | 0.0528969 | − | 0.115828i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.46033 | + | 3.50914i | −0.370671 | + | 0.238216i | ||||
\(218\) | 0.491818 | + | 3.42067i | 0.0333101 | + | 0.231677i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.981198 | + | 0.630578i | −0.0661524 | + | 0.0425136i | ||||
\(221\) | 21.7664 | − | 25.1197i | 1.46416 | − | 1.68973i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.85783 | + | 1.19395i | 0.124409 | + | 0.0799530i | 0.601365 | − | 0.798974i | \(-0.294624\pi\) |
−0.476956 | + | 0.878927i | \(0.658260\pi\) | |||||||
\(224\) | 3.31343 | − | 0.972910i | 0.221388 | − | 0.0650053i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.87325 | − | 1.13729i | −0.257645 | − | 0.0756514i | ||||
\(227\) | −0.733691 | − | 1.60656i | −0.0486968 | − | 0.106631i | 0.883720 | − | 0.468016i | \(-0.155031\pi\) |
−0.932417 | + | 0.361385i | \(0.882304\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −11.6895 | −0.772465 | −0.386232 | − | 0.922402i | \(-0.626224\pi\) | ||||
−0.386232 | + | 0.922402i | \(0.626224\pi\) | |||||||
\(230\) | 0.269043 | + | 1.02249i | 0.0177402 | + | 0.0674208i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.33546 | − | 9.28831i | 0.0876771 | − | 0.609807i | ||||
\(233\) | 0.799821 | + | 1.75136i | 0.0523980 | + | 0.114736i | 0.934020 | − | 0.357220i | \(-0.116275\pi\) |
−0.881622 | + | 0.471956i | \(0.843548\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.578411 | + | 0.667521i | 0.0377313 | + | 0.0435443i | ||||
\(236\) | 12.3484 | − | 3.62581i | 0.803810 | − | 0.236020i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −7.18694 | + | 15.7372i | −0.465860 | + | 1.02009i | ||||
\(239\) | −10.1573 | + | 11.7221i | −0.657019 | + | 0.758240i | −0.982287 | − | 0.187381i | \(-0.940000\pi\) |
0.325268 | + | 0.945622i | \(0.394545\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.59314 | + | 11.0805i | 0.102623 | + | 0.713758i | 0.974558 | + | 0.224136i | \(0.0719561\pi\) |
−0.871935 | + | 0.489622i | \(0.837135\pi\) | |||||||
\(242\) | −2.41789 | − | 16.8168i | −0.155428 | − | 1.08103i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −8.10663 | + | 9.35555i | −0.518974 | + | 0.598928i | ||||
\(245\) | 0.451077 | − | 0.987722i | 0.0288183 | − | 0.0631032i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 26.3581 | − | 7.73944i | 1.67713 | − | 0.492448i | ||||
\(248\) | −1.23085 | − | 1.42048i | −0.0781590 | − | 0.0902003i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.911374 | − | 1.99563i | −0.0576404 | − | 0.126215i | ||||
\(251\) | −4.28941 | + | 29.8335i | −0.270745 | + | 1.88307i | 0.170003 | + | 0.985443i | \(0.445622\pi\) |
−0.440748 | + | 0.897631i | \(0.645287\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −25.0020 | − | 4.32021i | −1.57186 | − | 0.271610i | ||||
\(254\) | 14.7523 | 0.925642 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | −3.01139 | − | 0.884225i | −0.187846 | − | 0.0551564i | 0.186457 | − | 0.982463i | \(-0.440300\pi\) |
−0.374302 | + | 0.927307i | \(0.622118\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.64802 | − | 1.36478i | 0.288814 | − | 0.0848034i | ||||
\(260\) | −1.23046 | − | 0.790770i | −0.0763100 | − | 0.0490414i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −7.61361 | + | 8.78657i | −0.470370 | + | 0.542836i | ||||
\(263\) | −22.4598 | + | 14.4340i | −1.38493 | + | 0.890039i | −0.999466 | − | 0.0326849i | \(-0.989594\pi\) |
−0.385462 | + | 0.922724i | \(0.625958\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.215996 | − | 1.50228i | −0.0132685 | − | 0.0922845i | ||||
\(266\) | −12.0289 | + | 7.73048i | −0.737536 | + | 0.473986i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.991326 | − | 2.17070i | 0.0605549 | − | 0.132597i | ||||
\(269\) | 19.9599 | + | 12.8274i | 1.21698 | + | 0.782102i | 0.981812 | − | 0.189854i | \(-0.0608014\pi\) |
0.235163 | + | 0.971956i | \(0.424438\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.35158 | − | 6.17605i | −0.325085 | − | 0.375169i | 0.569557 | − | 0.821952i | \(-0.307115\pi\) |
−0.894642 | + | 0.446783i | \(0.852569\pi\) | |||||||
\(272\) | −4.80693 | − | 1.41144i | −0.291463 | − | 0.0855813i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.673788 | − | 4.68630i | 0.0407050 | − | 0.283110i | ||||
\(275\) | 26.1955 | 1.57965 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −13.4046 | −0.805404 | −0.402702 | − | 0.915331i | \(-0.631929\pi\) | ||||
−0.402702 | + | 0.915331i | \(0.631929\pi\) | |||||||
\(278\) | 1.73728 | − | 12.0831i | 0.104195 | − | 0.724694i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.730480 | + | 0.214488i | 0.0436545 | + | 0.0128181i | ||||
\(281\) | −4.20358 | − | 4.85119i | −0.250765 | − | 0.289398i | 0.616385 | − | 0.787445i | \(-0.288596\pi\) |
−0.867150 | + | 0.498047i | \(0.834051\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.04108 | + | 2.59705i | 0.240217 | + | 0.154378i | 0.655211 | − | 0.755446i | \(-0.272580\pi\) |
−0.414993 | + | 0.909824i | \(0.636216\pi\) | |||||||
\(284\) | −1.42898 | + | 3.12902i | −0.0847941 | + | 0.185673i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 29.5282 | − | 18.9766i | 1.74604 | − | 1.12211i | ||||
\(287\) | 3.98182 | + | 27.6942i | 0.235040 | + | 1.63474i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.81311 | − | 4.37852i | 0.400771 | − | 0.257560i | ||||
\(290\) | 1.35475 | − | 1.56347i | 0.0795537 | − | 0.0918098i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.14558 | + | 0.736217i | 0.0670398 | + | 0.0430838i | ||||
\(293\) | −17.5106 | + | 5.14156i | −1.02298 | + | 0.300373i | −0.749852 | − | 0.661605i | \(-0.769875\pi\) |
−0.273125 | + | 0.961979i | \(0.588057\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.72232 | + | 0.799347i | 0.158500 | + | 0.0465398i | ||||
\(296\) | 0.582737 | + | 1.27601i | 0.0338709 | + | 0.0741669i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 17.2159 | 0.997291 | ||||||||
\(299\) | −8.09658 | − | 30.7707i | −0.468237 | − | 1.77952i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.16220 | − | 28.9488i | 0.239905 | − | 1.66858i | ||||
\(302\) | 1.46234 | + | 3.20208i | 0.0841484 | + | 0.184259i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.71151 | − | 3.12924i | −0.155516 | − | 0.179474i | ||||
\(305\) | −2.61857 | + | 0.768881i | −0.149939 | + | 0.0440260i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.65435 | − | 5.81221i | 0.151492 | − | 0.331720i | −0.818637 | − | 0.574311i | \(-0.805270\pi\) |
0.970129 | + | 0.242591i | \(0.0779973\pi\) | |||||||
\(308\) | −11.9642 | + | 13.8074i | −0.681724 | + | 0.786752i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.0589708 | − | 0.410151i | −0.00334931 | − | 0.0232950i | ||||
\(311\) | 3.15823 | + | 21.9660i | 0.179087 | + | 1.24558i | 0.858882 | + | 0.512174i | \(0.171160\pi\) |
−0.679795 | + | 0.733402i | \(0.737931\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.669900 | − | 0.773106i | 0.0378650 | − | 0.0436986i | −0.736501 | − | 0.676436i | \(-0.763523\pi\) |
0.774366 | + | 0.632738i | \(0.218069\pi\) | |||||||
\(314\) | −3.32086 | + | 7.27167i | −0.187407 | + | 0.410364i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.502322 | + | 0.147495i | −0.0282578 | + | 0.00829724i | ||||
\(317\) | −17.7847 | − | 20.5246i | −0.998886 | − | 1.15278i | −0.988252 | − | 0.152832i | \(-0.951161\pi\) |
−0.0106333 | − | 0.999943i | \(-0.503385\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 20.6235 | + | 45.1591i | 1.15469 | + | 2.52842i | ||||
\(320\) | −0.0313748 | + | 0.218216i | −0.00175390 | + | 0.0121987i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 8.55593 | + | 14.1803i | 0.476803 | + | 0.790234i | ||||
\(323\) | 20.7438 | 1.15421 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 13.6465 | + | 29.8816i | 0.756970 | + | 1.65753i | ||||
\(326\) | −11.1517 | − | 3.27445i | −0.617638 | − | 0.181355i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −7.77388 | + | 2.28262i | −0.429241 | + | 0.126036i | ||||
\(329\) | 11.6391 | + | 7.48000i | 0.641685 | + | 0.412386i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 15.0842 | − | 17.4081i | 0.829102 | − | 0.956835i | −0.170491 | − | 0.985359i | \(-0.554535\pi\) |
0.999593 | + | 0.0285243i | \(0.00908080\pi\) | |||||||
\(332\) | 5.71598 | − | 3.67344i | 0.313705 | − | 0.201606i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.673032 | + | 4.68104i | 0.0368267 | + | 0.256135i | ||||
\(335\) | 0.442580 | − | 0.284429i | 0.0241807 | − | 0.0155400i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.32476 | − | 16.0390i | 0.399005 | − | 0.873700i | −0.598365 | − | 0.801224i | \(-0.704183\pi\) |
0.997370 | − | 0.0724758i | \(-0.0230900\pi\) | |||||||
\(338\) | 26.0932 | + | 16.7691i | 1.41929 | + | 0.912119i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.723279 | − | 0.834708i | −0.0392253 | − | 0.0452684i | ||||
\(341\) | 9.54108 | + | 2.80151i | 0.516678 | + | 0.151710i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.01960 | + | 7.09144i | −0.0550530 | + | 0.382902i | ||||
\(344\) | 8.46910 | 0.456623 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 11.1666 | 0.600320 | ||||||||
\(347\) | 1.70297 | − | 11.8444i | 0.0914200 | − | 0.635840i | −0.891666 | − | 0.452694i | \(-0.850463\pi\) |
0.983086 | − | 0.183146i | \(-0.0586281\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.24084 | + | 0.951597i | 0.173478 | + | 0.0509378i | 0.367318 | − | 0.930095i | \(-0.380276\pi\) |
−0.193840 | + | 0.981033i | \(0.562094\pi\) | |||||||
\(350\) | −11.1973 | − | 12.9224i | −0.598520 | − | 0.690729i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.45068 | − | 2.86028i | −0.237222 | − | 0.152453i | ||||
\(353\) | −7.87774 | + | 17.2498i | −0.419290 | + | 0.918116i | 0.575655 | + | 0.817693i | \(0.304747\pi\) |
−0.994945 | + | 0.100424i | \(0.967980\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.637970 | + | 0.409998i | −0.0338599 | + | 0.0217605i | ||||
\(356\) | −1.51046 | − | 10.5055i | −0.0800540 | − | 0.556788i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −7.27771 | + | 4.67710i | −0.384639 | + | 0.247192i | ||||
\(359\) | 0.0880312 | − | 0.101593i | 0.00464611 | − | 0.00536189i | −0.753422 | − | 0.657538i | \(-0.771598\pi\) |
0.758068 | + | 0.652176i | \(0.226144\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.56100 | − | 1.00319i | −0.0821579 | − | 0.0527997i | ||||
\(362\) | 9.59848 | − | 2.81837i | 0.504485 | − | 0.148130i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −21.9831 | − | 6.45481i | −1.15223 | − | 0.338324i | ||||
\(365\) | 0.124712 | + | 0.273082i | 0.00652775 | + | 0.0142938i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.49129 | −0.0778447 | −0.0389224 | − | 0.999242i | \(-0.512393\pi\) | ||||
−0.0389224 | + | 0.999242i | \(0.512393\pi\) | |||||||
\(368\) | −3.71188 | + | 3.03677i | −0.193495 | + | 0.158302i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.0440120 | + | 0.306110i | −0.00228807 | + | 0.0159139i | ||||
\(371\) | −9.87603 | − | 21.6255i | −0.512738 | − | 1.12274i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.7829 | + | 12.4441i | 0.558316 | + | 0.644331i | 0.962800 | − | 0.270214i | \(-0.0870943\pi\) |
−0.404484 | + | 0.914545i | \(0.632549\pi\) | |||||||
\(374\) | 25.4312 | − | 7.46728i | 1.31502 | − | 0.386124i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.66433 | + | 3.64437i | −0.0858312 | + | 0.187944i | ||||
\(377\) | −40.7699 | + | 47.0510i | −2.09976 | + | 2.42325i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.553053 | − | 3.84657i | −0.0284084 | − | 0.197585i | 0.970675 | − | 0.240397i | \(-0.0772775\pi\) |
−0.999083 | + | 0.0428117i | \(0.986368\pi\) | |||||||
\(380\) | −0.129910 | − | 0.903543i | −0.00666424 | − | 0.0463508i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −7.86113 | + | 9.07222i | −0.402210 | + | 0.464175i | ||||
\(383\) | 5.90892 | − | 12.9387i | 0.301932 | − | 0.661139i | −0.696474 | − | 0.717582i | \(-0.745249\pi\) |
0.998406 | + | 0.0564436i | \(0.0179761\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.86463 | + | 1.13476i | −0.196960 | + | 0.0578326i | ||||
\(386\) | −12.8340 | − | 14.8112i | −0.653231 | − | 0.753869i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.39236 | − | 9.61793i | −0.222988 | − | 0.488276i | ||||
\(389\) | −2.55428 | + | 17.7654i | −0.129507 | + | 0.900743i | 0.816673 | + | 0.577101i | \(0.195816\pi\) |
−0.946180 | + | 0.323641i | \(0.895093\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.679991 | − | 24.0169i | 0.0343886 | − | 1.21458i | ||||
\(392\) | 4.92536 | 0.248768 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.20191 | + | 9.20089i | 0.211689 | + | 0.463534i | ||||
\(395\) | −0.110742 | − | 0.0325168i | −0.00557203 | − | 0.00163610i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 19.8789 | − | 5.83698i | 0.997695 | − | 0.292950i | 0.258185 | − | 0.966095i | \(-0.416876\pi\) |
0.739510 | + | 0.673146i | \(0.235057\pi\) | |||||||
\(398\) | −15.3863 | − | 9.88818i | −0.771246 | − | 0.495650i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.24248 | − | 3.74202i | 0.162124 | − | 0.187101i | ||||
\(401\) | −23.6737 | + | 15.2141i | −1.18221 | + | 0.759758i | −0.975791 | − | 0.218706i | \(-0.929816\pi\) |
−0.206416 | + | 0.978464i | \(0.566180\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.77467 | + | 12.3431i | 0.0884025 | + | 0.614853i | ||||
\(404\) | 5.12114 | − | 3.29116i | 0.254786 | − | 0.163741i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 13.4616 | − | 29.4769i | 0.668090 | − | 1.46291i | ||||
\(407\) | −6.24333 | − | 4.01235i | −0.309470 | − | 0.198885i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 14.7514 | + | 17.0240i | 0.729410 | + | 0.841784i | 0.992405 | − | 0.123013i | \(-0.0392557\pi\) |
−0.262995 | + | 0.964797i | \(0.584710\pi\) | |||||||
\(410\) | −1.71383 | − | 0.503227i | −0.0846401 | − | 0.0248526i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.344276 | − | 2.39450i | 0.0169613 | − | 0.117968i | ||||
\(413\) | 44.4430 | 2.18690 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.49794 | 0.0735310 | ||||||||
\(416\) | 0.944193 | − | 6.56701i | 0.0462929 | − | 0.321974i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 21.0186 | + | 6.17160i | 1.02805 | + | 0.301863i | ||||
\(419\) | −13.1138 | − | 15.1342i | −0.640653 | − | 0.739353i | 0.338837 | − | 0.940845i | \(-0.389966\pi\) |
−0.979490 | + | 0.201492i | \(0.935421\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 16.8469 | + | 10.8269i | 0.821070 | + | 0.527669i | 0.882429 | − | 0.470446i | \(-0.155907\pi\) |
−0.0613590 | + | 0.998116i | \(0.519543\pi\) | |||||||
\(422\) | 10.7427 | − | 23.5233i | 0.522949 | − | 1.14510i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.79150 | − | 3.72197i | 0.281260 | − | 0.180755i | ||||
\(425\) | 3.53024 | + | 24.5534i | 0.171242 | + | 1.19101i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −35.9629 | + | 23.1119i | −1.74036 | + | 1.11846i | ||||
\(428\) | 3.34091 | − | 3.85562i | 0.161489 | − | 0.186368i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.57070 | + | 1.00943i | 0.0757461 | + | 0.0486791i | ||||
\(431\) | −0.895958 | + | 0.263077i | −0.0431568 | + | 0.0126720i | −0.303240 | − | 0.952914i | \(-0.598068\pi\) |
0.260083 | + | 0.965586i | \(0.416250\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 23.9187 | + | 7.02317i | 1.14946 | + | 0.337512i | 0.800329 | − | 0.599562i | \(-0.204658\pi\) |
0.349132 | + | 0.937074i | \(0.386477\pi\) | |||||||
\(434\) | −2.69634 | − | 5.90415i | −0.129428 | − | 0.283408i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.45584 | −0.165505 | ||||||||
\(437\) | 11.2043 | − | 16.3947i | 0.535974 | − | 0.784265i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.46226 | − | 10.1703i | 0.0697899 | − | 0.485400i | −0.924711 | − | 0.380670i | \(-0.875693\pi\) |
0.994501 | − | 0.104729i | \(-0.0333976\pi\) | |||||||
\(440\) | −0.484520 | − | 1.06095i | −0.0230986 | − | 0.0505789i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 21.7664 | + | 25.1197i | 1.03532 | + | 1.19482i | ||||
\(443\) | 27.6225 | − | 8.11070i | 1.31238 | − | 0.385351i | 0.450646 | − | 0.892703i | \(-0.351194\pi\) |
0.861739 | + | 0.507352i | \(0.169376\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.972010 | − | 2.12840i | 0.0460777 | − | 0.100896i | ||||
\(446\) | −1.44620 | + | 1.66900i | −0.0684794 | + | 0.0790295i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.491458 | + | 3.41816i | 0.0232192 | + | 0.161493i | ||||
\(449\) | −3.57436 | − | 24.8602i | −0.168684 | − | 1.17323i | −0.881607 | − | 0.471983i | \(-0.843538\pi\) |
0.712923 | − | 0.701242i | \(-0.247371\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 28.0701 | − | 32.3947i | 1.32177 | − | 1.52540i | ||||
\(452\) | 1.67693 | − | 3.67197i | 0.0788764 | − | 0.172715i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.69462 | − | 0.497586i | 0.0795325 | − | 0.0233529i | ||||
\(455\) | −3.30770 | − | 3.81729i | −0.155067 | − | 0.178957i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.54867 | − | 5.58081i | −0.119222 | − | 0.261059i | 0.840607 | − | 0.541645i | \(-0.182198\pi\) |
−0.959829 | + | 0.280586i | \(0.909471\pi\) | |||||||
\(458\) | 1.66359 | − | 11.5705i | 0.0777345 | − | 0.540655i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.05037 | + | 0.120789i | −0.0489737 | + | 0.00563183i | ||||
\(461\) | −9.53306 | −0.443999 | −0.222000 | − | 0.975047i | \(-0.571258\pi\) | ||||
−0.222000 | + | 0.975047i | \(0.571258\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.4095 | − | 24.9834i | −0.530245 | − | 1.16107i | −0.965413 | − | 0.260726i | \(-0.916038\pi\) |
0.435168 | − | 0.900349i | \(-0.356689\pi\) | |||||||
\(464\) | 9.00371 | + | 2.64373i | 0.417987 | + | 0.122732i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.84736 | + | 0.542435i | −0.0855775 | + | 0.0251278i | ||||
\(467\) | 10.5006 | + | 6.74831i | 0.485909 | + | 0.312275i | 0.760558 | − | 0.649270i | \(-0.224925\pi\) |
−0.274649 | + | 0.961544i | \(0.588562\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.39658 | − | 6.22799i | 0.249191 | − | 0.287582i | ||||
\(470\) | −0.743043 | + | 0.477525i | −0.0342740 | + | 0.0220266i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.83155 | + | 12.7387i | 0.0843037 | + | 0.586345i | ||||
\(473\) | −37.6932 | + | 24.2240i | −1.73314 | + | 1.11382i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.51670 | + | 18.6490i | −0.390773 | + | 0.855674i | ||||
\(476\) | −14.5542 | − | 9.35343i | −0.667091 | − | 0.428714i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −10.1573 | − | 11.7221i | −0.464583 | − | 0.536157i | ||||
\(479\) | 20.5218 | + | 6.02574i | 0.937665 | + | 0.275323i | 0.714642 | − | 0.699490i | \(-0.246590\pi\) |
0.223022 | + | 0.974813i | \(0.428408\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.32450 | − | 9.21208i | 0.0603919 | − | 0.420035i | ||||
\(482\) | −11.1945 | −0.509893 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 16.9897 | 0.772261 | ||||||||
\(485\) | 0.331739 | − | 2.30730i | 0.0150635 | − | 0.104769i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.353352 | + | 0.103753i | 0.0160119 | + | 0.00470152i | 0.289729 | − | 0.957109i | \(-0.406435\pi\) |
−0.273717 | + | 0.961810i | \(0.588253\pi\) | |||||||
\(488\) | −8.10663 | − | 9.35555i | −0.366970 | − | 0.423506i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.913473 | + | 0.587053i | 0.0412665 | + | 0.0265204i | ||||
\(491\) | 1.75794 | − | 3.84935i | 0.0793346 | − | 0.173719i | −0.865808 | − | 0.500376i | \(-0.833195\pi\) |
0.945143 | + | 0.326658i | \(0.105922\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −39.5488 | + | 25.4164i | −1.78119 | + | 1.14470i | ||||
\(494\) | 3.90951 | + | 27.1912i | 0.175897 | + | 1.22339i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.58119 | − | 1.01617i | 0.0709974 | − | 0.0456272i | ||||
\(497\) | −7.77907 | + | 8.97752i | −0.348939 | + | 0.402697i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 15.7732 | + | 10.1368i | 0.706105 | + | 0.453786i | 0.843779 | − | 0.536691i | \(-0.180326\pi\) |
−0.137673 | + | 0.990478i | \(0.543962\pi\) | |||||||
\(500\) | 2.10502 | − | 0.618090i | 0.0941394 | − | 0.0276418i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −28.9194 | − | 8.49150i | −1.29074 | − | 0.378994i | ||||
\(503\) | −3.41792 | − | 7.48420i | −0.152398 | − | 0.333704i | 0.818000 | − | 0.575219i | \(-0.195083\pi\) |
−0.970397 | + | 0.241515i | \(0.922356\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.34206 | 0.0597207 | ||||||||
\(506\) | 7.83440 | − | 24.1327i | 0.348281 | − | 1.07283i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2.09947 | + | 14.6022i | −0.0931491 | + | 0.647866i | ||||
\(509\) | 2.00919 | + | 4.39950i | 0.0890556 | + | 0.195005i | 0.948919 | − | 0.315519i | \(-0.102179\pi\) |
−0.859864 | + | 0.510524i | \(0.829451\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.07951 | + | 3.55395i | 0.136230 | + | 0.157217i | ||||
\(512\) | −0.959493 | + | 0.281733i | −0.0424040 | + | 0.0124509i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.30379 | − | 2.85490i | 0.0575078 | − | 0.125924i | ||||
\(515\) | 0.349250 | − | 0.403056i | 0.0153898 | − | 0.0177608i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.01652 | − | 20.9804i | −0.132666 | − | 0.922716i | ||||
\(518\) | 0.689408 | + | 4.79494i | 0.0302908 | + | 0.210677i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.957834 | − | 1.10540i | 0.0420038 | − | 0.0484750i | ||||
\(521\) | −3.00410 | + | 6.57806i | −0.131612 | + | 0.288190i | −0.963952 | − | 0.266075i | \(-0.914273\pi\) |
0.832340 | + | 0.554265i | \(0.187000\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.1931 | + | 3.58022i | −0.533168 | + | 0.156552i | −0.537224 | − | 0.843439i | \(-0.680527\pi\) |
0.00405605 | + | 0.999992i | \(0.498709\pi\) | |||||||
\(524\) | −7.61361 | − | 8.78657i | −0.332602 | − | 0.383843i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.0907 | − | 24.2853i | −0.483579 | − | 1.05889i | ||||
\(527\) | −1.34009 | + | 9.32050i | −0.0583750 | + | 0.406007i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −18.6143 | − | 13.5096i | −0.809316 | − | 0.587374i | ||||
\(530\) | 1.51773 | 0.0659260 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −5.93991 | − | 13.0066i | −0.257528 | − | 0.563907i | ||||
\(533\) | 51.5761 | + | 15.1441i | 2.23401 | + | 0.655964i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.07917 | − | 0.316872i | 0.0466564 | − | 0.0136996i | ||||
\(536\) | 2.00753 | + | 1.29016i | 0.0867119 | + | 0.0557264i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −15.5375 | + | 17.9312i | −0.669867 | + | 0.773068i | ||||
\(539\) | −21.9212 | + | 14.0879i | −0.944214 | + | 0.606809i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.0106969 | + | 0.0743986i | 0.000459896 | + | 0.00319865i | 0.990050 | − | 0.140715i | \(-0.0449402\pi\) |
−0.989590 | + | 0.143914i | \(0.954031\pi\) | |||||||
\(542\) | 6.87480 | − | 4.41817i | 0.295298 | − | 0.189776i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.08117 | − | 4.55713i | 0.0892296 | − | 0.195386i | ||||
\(545\) | −0.640931 | − | 0.411902i | −0.0274545 | − | 0.0176439i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 19.3741 | + | 22.3589i | 0.828376 | + | 0.955997i | 0.999572 | − | 0.0292403i | \(-0.00930881\pi\) |
−0.171197 | + | 0.985237i | \(0.554763\pi\) | |||||||
\(548\) | 4.54271 | + | 1.33386i | 0.194055 | + | 0.0569797i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.72801 | + | 25.9289i | −0.158963 | + | 1.10561i | ||||
\(551\) | −38.8545 | −1.65526 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.80791 | −0.0768800 | ||||||||
\(554\) | 1.90767 | − | 13.2682i | 0.0810492 | − | 0.563710i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 11.7128 | + | 3.43920i | 0.496735 | + | 0.145855i | ||||
\(557\) | −16.0037 | − | 18.4693i | −0.678099 | − | 0.782568i | 0.307522 | − | 0.951541i | \(-0.400500\pi\) |
−0.985621 | + | 0.168973i | \(0.945955\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −47.2688 | − | 30.3778i | −1.99926 | − | 1.28484i | ||||
\(560\) | −0.316263 | + | 0.692520i | −0.0133646 | + | 0.0292643i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.40005 | − | 3.47040i | 0.227787 | − | 0.146390i | ||||
\(563\) | −2.81112 | − | 19.5518i | −0.118475 | − | 0.824008i | −0.959237 | − | 0.282604i | \(-0.908802\pi\) |
0.840762 | − | 0.541405i | \(-0.182107\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.748671 | − | 0.481142i | 0.0314968 | − | 0.0202418i | ||||
\(566\) | −3.14572 | + | 3.63035i | −0.132224 | + | 0.152595i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.89381 | − | 1.85974i | −0.121421 | − | 0.0780329i | ||||
\(569\) | −29.4311 | + | 8.64176i | −1.23382 | + | 0.362281i | −0.832689 | − | 0.553741i | \(-0.813200\pi\) |
−0.401128 | + | 0.916022i | \(0.631382\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.59233 | + | 2.22931i | 0.317729 | + | 0.0932936i | 0.436709 | − | 0.899603i | \(-0.356144\pi\) |
−0.118980 | + | 0.992897i | \(0.537962\pi\) | |||||||
\(572\) | 14.5812 | + | 31.9283i | 0.609669 | + | 1.33499i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −27.9790 | −1.16782 | ||||||||
\(575\) | 21.3123 | + | 10.4718i | 0.888786 | + | 0.436706i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.22186 | + | 22.4086i | −0.134128 | + | 0.932881i | 0.805965 | + | 0.591963i | \(0.201647\pi\) |
−0.940093 | + | 0.340918i | \(0.889262\pi\) | |||||||
\(578\) | 3.36435 | + | 7.36689i | 0.139938 | + | 0.306422i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.35475 | + | 1.56347i | 0.0562529 | + | 0.0649194i | ||||
\(581\) | 22.5134 | − | 6.61054i | 0.934015 | − | 0.274251i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −15.1302 | + | 33.1306i | −0.626631 | + | 1.37213i | ||||
\(584\) | −0.891756 | + | 1.02914i | −0.0369011 | + | 0.0425862i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.59722 | − | 18.0640i | −0.107290 | − | 0.746219i | ||||
\(587\) | 0.0815630 | + | 0.567283i | 0.00336647 | + | 0.0234143i | 0.991435 | − | 0.130598i | \(-0.0416896\pi\) |
−0.988069 | + | 0.154012i | \(0.950781\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.09644 | + | 5.88160i | −0.209995 | + | 0.242347i | ||||
\(590\) | −1.17864 | + | 2.58086i | −0.0485237 | + | 0.106252i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.34596 | + | 0.395209i | −0.0553186 | + | 0.0162430i | ||||
\(593\) | 12.6191 | + | 14.5632i | 0.518205 | + | 0.598040i | 0.953180 | − | 0.302402i | \(-0.0977885\pi\) |
−0.434976 | + | 0.900442i | \(0.643243\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.58444 | − | 3.46943i | −0.0649555 | − | 0.142233i | ||||
\(596\) | −2.45008 | + | 17.0407i | −0.100359 | + | 0.698013i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 31.6098 | − | 3.63504i | 1.29262 | − | 0.148648i | ||||
\(599\) | −8.99662 | −0.367592 | −0.183796 | − | 0.982964i | \(-0.558839\pi\) | ||||
−0.183796 | + | 0.982964i | \(0.558839\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.60316 | + | 10.0795i | 0.187767 | + | 0.411152i | 0.979981 | − | 0.199091i | \(-0.0637991\pi\) |
−0.792214 | + | 0.610243i | \(0.791072\pi\) | |||||||
\(602\) | 28.0618 | + | 8.23967i | 1.14371 | + | 0.335824i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.37760 | + | 0.991754i | −0.137433 | + | 0.0403539i | ||||
\(605\) | 3.15097 | + | 2.02500i | 0.128105 | + | 0.0823282i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 28.0949 | − | 32.4232i | 1.14034 | − | 1.31602i | 0.198439 | − | 0.980113i | \(-0.436413\pi\) |
0.941896 | − | 0.335904i | \(-0.109042\pi\) | |||||||
\(608\) | 3.48328 | − | 2.23857i | 0.141266 | − | 0.0907859i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.388394 | − | 2.70134i | −0.0157256 | − | 0.109374i | ||||
\(611\) | 22.3612 | − | 14.3706i | 0.904636 | − | 0.581374i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.72678 | − | 10.3502i | 0.190913 | − | 0.418041i | −0.789835 | − | 0.613319i | \(-0.789834\pi\) |
0.980748 | + | 0.195279i | \(0.0625611\pi\) | |||||||
\(614\) | 5.37530 | + | 3.45449i | 0.216929 | + | 0.139412i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −11.9642 | − | 13.8074i | −0.482052 | − | 0.556318i | ||||
\(617\) | −36.5212 | − | 10.7236i | −1.47029 | − | 0.431716i | −0.554096 | − | 0.832453i | \(-0.686936\pi\) |
−0.916193 | + | 0.400737i | \(0.868754\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.92551 | − | 20.3474i | 0.117586 | − | 0.817830i | −0.842614 | − | 0.538518i | \(-0.818984\pi\) |
0.960200 | − | 0.279312i | \(-0.0901065\pi\) | |||||||
\(620\) | 0.414368 | 0.0166414 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −22.1919 | −0.889813 | ||||||||
\(623\) | 5.21608 | − | 36.2786i | 0.208978 | − | 1.45347i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.2901 | − | 6.83858i | −0.931603 | − | 0.273543i | ||||
\(626\) | 0.669900 | + | 0.773106i | 0.0267746 | + | 0.0308995i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −6.72505 | − | 4.32192i | −0.268359 | − | 0.172464i | ||||
\(629\) | 2.91943 | − | 6.39266i | 0.116405 | − | 0.254892i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −37.7583 | + | 24.2658i | −1.50313 | + | 0.966005i | −0.508665 | + | 0.860965i | \(0.669861\pi\) |
−0.994468 | + | 0.105040i | \(0.966503\pi\) | |||||||
\(632\) | −0.0745058 | − | 0.518199i | −0.00296368 | − | 0.0206129i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 22.8467 | − | 14.6827i | 0.907358 | − | 0.583124i | ||||
\(635\) | −2.12980 | + | 2.45792i | −0.0845187 | + | 0.0975398i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −27.4901 | − | 17.6668i | −1.08920 | − | 0.699984i | ||||
\(638\) | −47.6344 | + | 13.9867i | −1.88587 | + | 0.553740i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.211530 | − | 0.0621109i | −0.00836146 | − | 0.00245515i | ||||
\(641\) | 20.6359 | + | 45.1862i | 0.815067 | + | 1.78475i | 0.583883 | + | 0.811838i | \(0.301533\pi\) |
0.231184 | + | 0.972910i | \(0.425740\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 19.7085 | 0.777229 | 0.388614 | − | 0.921400i | \(-0.372954\pi\) | ||||
0.388614 | + | 0.921400i | \(0.372954\pi\) | |||||||
\(644\) | −15.2536 | + | 6.45078i | −0.601074 | + | 0.254196i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.95215 | + | 20.5326i | −0.116151 | + | 0.807846i | ||||
\(647\) | −7.39110 | − | 16.1842i | −0.290574 | − | 0.636268i | 0.706899 | − | 0.707314i | \(-0.250093\pi\) |
−0.997473 | + | 0.0710462i | \(0.977366\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −44.5878 | − | 51.4571i | −1.75022 | − | 2.01987i | ||||
\(650\) | −31.5196 | + | 9.25498i | −1.23630 | + | 0.363010i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.82818 | − | 10.5722i | 0.189086 | − | 0.414041i | ||||
\(653\) | 8.28660 | − | 9.56324i | 0.324280 | − | 0.374239i | −0.570079 | − | 0.821590i | \(-0.693087\pi\) |
0.894358 | + | 0.447352i | \(0.147633\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.364772 | − | 2.53705i | −0.0142528 | − | 0.0991307i | ||||
\(656\) | −1.15304 | − | 8.01960i | −0.0450188 | − | 0.313113i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −9.06028 | + | 10.4561i | −0.353206 | + | 0.407622i | ||||
\(659\) | −5.26296 | + | 11.5243i | −0.205016 | + | 0.448922i | −0.984011 | − | 0.178108i | \(-0.943002\pi\) |
0.778995 | + | 0.627030i | \(0.215730\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −23.4934 | + | 6.89829i | −0.913788 | + | 0.268312i | −0.704634 | − | 0.709571i | \(-0.748889\pi\) |
−0.209153 | + | 0.977883i | \(0.567071\pi\) | |||||||
\(662\) | 15.0842 | + | 17.4081i | 0.586264 | + | 0.676584i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.82258 | + | 6.18059i | 0.109537 | + | 0.239853i | ||||
\(665\) | 0.448619 | − | 3.12022i | 0.0173967 | − | 0.120997i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.27367 | + | 44.9852i | −0.0493167 | + | 1.74183i | ||||
\(668\) | −4.72918 | −0.182977 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.218548 | + | 0.478553i | 0.00844325 | + | 0.0184881i | ||||
\(671\) | 62.8395 | + | 18.4513i | 2.42589 | + | 0.712306i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −29.1581 | + | 8.56160i | −1.12396 | + | 0.330026i | −0.790333 | − | 0.612678i | \(-0.790092\pi\) |
−0.333631 | + | 0.942704i | \(0.608274\pi\) | |||||||
\(674\) | 14.8333 | + | 9.53279i | 0.571358 | + | 0.367189i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −20.3119 | + | 23.4412i | −0.781226 | + | 0.901583i | ||||
\(677\) | −12.7871 | + | 8.21776i | −0.491448 | + | 0.315834i | −0.762787 | − | 0.646649i | \(-0.776170\pi\) |
0.271340 | + | 0.962484i | \(0.412533\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −5.19639 | − | 36.1417i | −0.199419 | − | 1.38699i | ||||
\(680\) | 0.929145 | − | 0.597125i | 0.0356311 | − | 0.0228987i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −4.13083 | + | 9.04527i | −0.158178 | + | 0.346361i | ||||
\(683\) | 10.2556 | + | 6.59089i | 0.392421 | + | 0.252194i | 0.721940 | − | 0.691955i | \(-0.243250\pi\) |
−0.329520 | + | 0.944149i | \(0.606887\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.683522 | + | 0.788826i | 0.0261160 | + | 0.0301395i | ||||
\(686\) | −6.87416 | − | 2.01843i | −0.262457 | − | 0.0770642i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.20528 | + | 8.38289i | −0.0459508 | + | 0.319595i | ||||
\(689\) | −45.6746 | −1.74006 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.72496 | −0.369955 | −0.184977 | − | 0.982743i | \(-0.559221\pi\) | ||||
−0.184977 | + | 0.982743i | \(0.559221\pi\) | |||||||
\(692\) | −1.58917 | + | 11.0529i | −0.0604113 | + | 0.420170i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 11.4815 | + | 3.37127i | 0.435831 | + | 0.127972i | ||||
\(695\) | 1.76238 | + | 2.03390i | 0.0668509 | + | 0.0771501i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 34.1467 | + | 21.9448i | 1.29340 | + | 0.831217i | ||||
\(698\) | −1.40313 | + | 3.07243i | −0.0531093 | + | 0.116293i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 14.3844 | − | 9.24427i | 0.543678 | − | 0.349400i | ||||
\(701\) | 1.25167 | + | 8.70558i | 0.0472750 | + | 0.328805i | 0.999710 | + | 0.0240645i | \(0.00766070\pi\) |
−0.952435 | + | 0.304741i | \(0.901430\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.88628 | − | 3.14022i | 0.184290 | − | 0.118436i | ||||
\(704\) | 3.46456 | − | 3.99832i | 0.130576 | − | 0.150692i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −15.9531 | − | 10.2525i | −0.600404 | − | 0.385856i | ||||
\(707\) | 20.1705 | − | 5.92260i | 0.758591 | − | 0.222742i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.86156 | + | 2.89561i | 0.370359 | + | 0.108747i | 0.461615 | − | 0.887080i | \(-0.347270\pi\) |
−0.0912565 | + | 0.995827i | \(0.529088\pi\) | |||||||
\(710\) | −0.315033 | − | 0.689825i | −0.0118230 | − | 0.0258887i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 10.6135 | 0.397757 | ||||||||
\(713\) | 6.64257 | + | 6.09339i | 0.248766 | + | 0.228199i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.10126 | + | 7.65945i | −0.0411849 | + | 0.286447i | ||||
\(716\) | −3.59377 | − | 7.86925i | −0.134305 | − | 0.294088i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.0880312 | + | 0.101593i | 0.00328529 | + | 0.00379143i | ||||
\(719\) | 5.31043 | − | 1.55928i | 0.198046 | − | 0.0581514i | −0.181205 | − | 0.983445i | \(-0.558000\pi\) |
0.379251 | + | 0.925294i | \(0.376182\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.47036 | − | 7.59904i | 0.129243 | − | 0.283003i | ||||
\(722\) | 1.21514 | − | 1.40234i | 0.0452227 | − | 0.0521898i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.42368 | + | 9.90188i | 0.0529105 | + | 0.368000i | ||||
\(725\) | −6.61238 | − | 45.9901i | −0.245578 | − | 1.70803i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.06666 | − | 3.53911i | 0.113736 | − | 0.131258i | −0.696027 | − | 0.718016i | \(-0.745050\pi\) |
0.809763 | + | 0.586758i | \(0.199596\pi\) | |||||||
\(728\) | 9.51763 | − | 20.8407i | 0.352747 | − | 0.772408i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.288051 | + | 0.0845794i | −0.0106612 | + | 0.00313042i | ||||
\(731\) | −27.7851 | − | 32.0657i | −1.02767 | − | 1.18599i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.75574 | + | 16.9827i | 0.286465 | + | 0.627270i | 0.997084 | − | 0.0763061i | \(-0.0243126\pi\) |
−0.710620 | + | 0.703576i | \(0.751585\pi\) | |||||||
\(734\) | 0.212233 | − | 1.47611i | 0.00783365 | − | 0.0544842i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.47760 | − | 4.10628i | −0.0913255 | − | 0.151359i | ||||
\(737\) | −12.6251 | −0.465050 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 11.5687 | + | 25.3319i | 0.425562 | + | 0.931851i | 0.994026 | + | 0.109143i | \(0.0348105\pi\) |
−0.568464 | + | 0.822708i | \(0.692462\pi\) | |||||||
\(740\) | −0.296731 | − | 0.0871280i | −0.0109080 | − | 0.00320289i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 22.8109 | − | 6.69788i | 0.837413 | − | 0.245887i | ||||
\(743\) | −5.79348 | − | 3.72324i | −0.212542 | − | 0.136593i | 0.430039 | − | 0.902810i | \(-0.358500\pi\) |
−0.642581 | + | 0.766218i | \(0.722136\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.48548 | + | 2.86839i | −0.0910608 | + | 0.105090i | ||||
\(746\) | −13.8520 | + | 8.90215i | −0.507158 | + | 0.325931i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.77204 | + | 26.2351i | 0.137919 | + | 0.959250i | ||||
\(749\) | 14.8210 | − | 9.52491i | 0.541549 | − | 0.348033i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.7906 | + | 25.8177i | −0.430244 | + | 0.942103i | 0.563043 | + | 0.826428i | \(0.309630\pi\) |
−0.993287 | + | 0.115675i | \(0.963097\pi\) | |||||||
\(752\) | −3.37042 | − | 2.16604i | −0.122906 | − | 0.0789872i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −40.7699 | − | 47.0510i | −1.48475 | − | 1.71349i | ||||
\(755\) | −0.744628 | − | 0.218642i | −0.0270998 | − | 0.00795721i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.10040 | − | 35.4741i | 0.185377 | − | 1.28933i | −0.658414 | − | 0.752656i | \(-0.728772\pi\) |
0.843791 | − | 0.536672i | \(-0.180319\pi\) | |||||||
\(758\) | 3.88613 | 0.141150 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.912835 | 0.0331120 | ||||||||
\(761\) | 0.516440 | − | 3.59192i | 0.0187209 | − | 0.130207i | −0.978318 | − | 0.207110i | \(-0.933594\pi\) |
0.997039 | + | 0.0769032i | \(0.0245032\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −11.4507 | − | 3.36223i | −0.414543 | − | 0.121721i | ||||
\(764\) | −7.86113 | − | 9.07222i | −0.284406 | − | 0.328222i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 11.9661 | + | 7.69015i | 0.432353 | + | 0.277856i | ||||
\(767\) | 35.4699 | − | 77.6683i | 1.28075 | − | 2.80444i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 39.0781 | − | 25.1140i | 1.40919 | − | 0.905633i | 0.409216 | − | 0.912438i | \(-0.365802\pi\) |
0.999977 | + | 0.00680480i | \(0.00216605\pi\) | |||||||
\(770\) | −0.573213 | − | 3.98678i | −0.0206572 | − | 0.143674i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 16.4869 | − | 10.5955i | 0.593376 | − | 0.381339i | ||||
\(773\) | −34.4794 | + | 39.7913i | −1.24014 | + | 1.43119i | −0.377009 | + | 0.926209i | \(0.623048\pi\) |
−0.863128 | + | 0.504985i | \(0.831498\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.82908 | − | 5.03145i | −0.281229 | − | 0.180735i | ||||
\(776\) | 10.1451 | − | 2.97888i | 0.364189 | − | 0.106936i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −17.2211 | − | 5.05657i | −0.617406 | − | 0.181287i | ||||
\(779\) | 13.9361 | + | 30.5157i | 0.499311 | + | 1.09334i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 18.1988 | 0.651204 | ||||||||
\(782\) | 23.6756 | + | 4.09102i | 0.846638 | + | 0.146295i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.700952 | + | 4.87523i | −0.0250340 | + | 0.174115i | ||||
\(785\) | −0.732118 | − | 1.60311i | −0.0261304 | − | 0.0572176i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −29.7760 | − | 34.3633i | −1.06140 | − | 1.22492i | −0.973475 | − | 0.228794i | \(-0.926522\pi\) |
−0.0879248 | − | 0.996127i | \(-0.528024\pi\) | |||||||
\(788\) | −9.70523 | + | 2.84971i | −0.345735 | + | 0.101517i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.0479460 | − | 0.104987i | 0.00170584 | − | 0.00373528i | ||||
\(791\) | 9.12890 | − | 10.5353i | 0.324586 | − | 0.374593i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 11.6883 | + | 81.2941i | 0.415065 | + | 2.88684i | ||||
\(794\) | 2.94850 | + | 20.5073i | 0.104638 | + | 0.727776i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 11.9772 | − | 13.8225i | 0.424522 | − | 0.489924i | ||||
\(797\) | 10.0784 | − | 22.0687i | 0.356996 | − | 0.781713i | −0.642880 | − | 0.765967i | \(-0.722261\pi\) |
0.999876 | − | 0.0157455i | \(-0.00501216\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 19.2586 | − | 5.65484i | 0.681320 | − | 0.200054i | ||||
\(800\) | 3.24248 | + | 3.74202i | 0.114639 | + | 0.132300i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −11.6902 | − | 25.5979i | −0.412794 | − | 0.903894i | ||||
\(803\) | 1.02529 | − | 7.13105i | 0.0361817 | − | 0.251649i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.59784 | − | 0.621688i | −0.126807 | − | 0.0219116i | ||||
\(806\) | −12.4700 | −0.439237 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.52884 | + | 5.53740i | 0.0889644 | + | 0.194805i | ||||
\(809\) | −26.1352 | − | 7.67399i | −0.918865 | − | 0.269803i | −0.212097 | − | 0.977249i | \(-0.568029\pi\) |
−0.706768 | + | 0.707446i | \(0.749847\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 18.0145 | − | 5.28954i | 0.632575 | − | 0.185741i | 0.0503020 | − | 0.998734i | \(-0.483982\pi\) |
0.582273 | + | 0.812993i | \(0.302163\pi\) | |||||||
\(812\) | 27.2611 | + | 17.5196i | 0.956675 | + | 0.614818i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.86002 | − | 5.60877i | 0.170344 | − | 0.196587i | ||||
\(815\) | 2.15555 | − | 1.38529i | 0.0755057 | − | 0.0485246i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.99056 | − | 34.7101i | −0.174597 | − | 1.21435i | ||||
\(818\) | −18.9501 | + | 12.1785i | −0.662575 | + | 0.425811i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.742008 | − | 1.62477i | 0.0259121 | − | 0.0567395i | ||||
\(821\) | 6.90382 | + | 4.43682i | 0.240945 | + | 0.154846i | 0.655541 | − | 0.755160i | \(-0.272441\pi\) |
−0.414596 | + | 0.910006i | \(0.636077\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 23.0804 | + | 26.6362i | 0.804532 | + | 0.928479i | 0.998621 | − | 0.0525047i | \(-0.0167205\pi\) |
−0.194089 | + | 0.980984i | \(0.562175\pi\) | |||||||
\(824\) | 2.32113 | + | 0.681544i | 0.0808603 | + | 0.0237427i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −6.32490 | + | 43.9906i | −0.220071 | + | 1.53063i | ||||
\(827\) | 28.8088 | 1.00178 | 0.500890 | − | 0.865511i | \(-0.333006\pi\) | ||||
0.500890 | + | 0.865511i | \(0.333006\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 49.1166 | 1.70589 | 0.852945 | − | 0.522001i | \(-0.174814\pi\) | ||||
0.852945 | + | 0.522001i | \(0.174814\pi\) | |||||||
\(830\) | −0.213179 | + | 1.48269i | −0.00739956 | + | 0.0514650i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 6.36579 | + | 1.86917i | 0.220694 | + | 0.0648016i | ||||
\(833\) | −16.1590 | − | 18.6484i | −0.559875 | − | 0.646130i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.877087 | − | 0.563670i | −0.0303529 | − | 0.0195066i | ||||
\(836\) | −9.10004 | + | 19.9263i | −0.314731 | + | 0.689166i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 16.8464 | − | 10.8265i | 0.581950 | − | 0.373996i | ||||
\(839\) | −2.37350 | − | 16.5080i | −0.0819423 | − | 0.569921i | −0.988887 | − | 0.148671i | \(-0.952501\pi\) |
0.906944 | − | 0.421250i | \(-0.138409\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 49.6812 | − | 31.9282i | 1.71314 | − | 1.10097i | ||||
\(842\) | −13.1142 | + | 15.1346i | −0.451946 | + | 0.521574i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 21.7551 | + | 13.9811i | 0.748840 | + | 0.481250i | ||||
\(845\) | −6.56105 | + | 1.92650i | −0.225707 | + | 0.0662735i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 56.2943 | + | 16.5295i | 1.93429 | + | 0.567960i | ||||
\(848\) | 2.85987 | + | 6.26224i | 0.0982084 | + | 0.215046i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −24.8058 | −0.850833 | ||||||||
\(851\) | −3.47553 | − | 5.76021i | −0.119140 | − | 0.197457i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.294248 | + | 2.04654i | −0.0100749 | + | 0.0700722i | −0.994239 | − | 0.107190i | \(-0.965815\pi\) |
0.984164 | + | 0.177262i | \(0.0567239\pi\) | |||||||
\(854\) | −17.7586 | − | 38.8860i | −0.607688 | − | 1.33065i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.34091 | + | 3.85562i | 0.114190 | + | 0.131782i | ||||
\(857\) | 7.94775 | − | 2.33367i | 0.271490 | − | 0.0797166i | −0.143154 | − | 0.989700i | \(-0.545724\pi\) |
0.414644 | + | 0.909984i | \(0.363906\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 15.4637 | − | 33.8607i | 0.527614 | − | 1.15531i | −0.438862 | − | 0.898554i | \(-0.644618\pi\) |
0.966476 | − | 0.256758i | \(-0.0826544\pi\) | |||||||
\(860\) | −1.22269 | + | 1.41106i | −0.0416934 | + | 0.0481167i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.132891 | − | 0.924278i | −0.00452629 | − | 0.0314810i | ||||
\(863\) | −4.94121 | − | 34.3668i | −0.168201 | − | 1.16986i | −0.882601 | − | 0.470123i | \(-0.844209\pi\) |
0.714400 | − | 0.699737i | \(-0.246700\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.61213 | + | 1.86050i | −0.0548141 | + | 0.0632588i | ||||
\(866\) | −10.3557 | + | 22.6758i | −0.351900 | + | 0.770554i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 6.22779 | − | 1.82864i | 0.211385 | − | 0.0620682i | ||||
\(869\) | 1.81380 | + | 2.09323i | 0.0615288 | + | 0.0710080i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.57699 | − | 14.4016i | −0.222853 | − | 0.487979i | ||||
\(872\) | 0.491818 | − | 3.42067i | 0.0166551 | − | 0.115838i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 14.6333 | + | 13.4234i | 0.494978 | + | 0.454055i | ||||
\(875\) | 7.57618 | 0.256122 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 14.0346 | + | 30.7315i | 0.473915 | + | 1.03773i | 0.984092 | + | 0.177660i | \(0.0568528\pi\) |
−0.510176 | + | 0.860070i | \(0.670420\pi\) | |||||||
\(878\) | 9.85863 | + | 2.89476i | 0.332713 | + | 0.0976933i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 1.11911 | − | 0.328600i | 0.0377251 | − | 0.0110771i | ||||
\(881\) | 7.40682 | + | 4.76007i | 0.249542 | + | 0.160371i | 0.659432 | − | 0.751764i | \(-0.270797\pi\) |
−0.409890 | + | 0.912135i | \(0.634433\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −9.47371 | + | 10.9332i | −0.318816 | + | 0.367933i | −0.892425 | − | 0.451196i | \(-0.850997\pi\) |
0.573609 | + | 0.819129i | \(0.305543\pi\) | |||||||
\(884\) | −27.9617 | + | 17.9699i | −0.940454 | + | 0.604393i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 4.09705 | + | 28.4956i | 0.137643 | + | 0.957329i | ||||
\(887\) | −20.1202 | + | 12.9304i | −0.675569 | + | 0.434162i | −0.832929 | − | 0.553379i | \(-0.813338\pi\) |
0.157360 | + | 0.987541i | \(0.449702\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −21.1630 | + | 46.3406i | −0.709786 | + | 1.55421i | ||||
\(890\) | 1.96841 | + | 1.26502i | 0.0659812 | + | 0.0424035i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.44620 | − | 1.66900i | −0.0484223 | − | 0.0558823i | ||||
\(893\) | 15.9170 | + | 4.67364i | 0.532641 | + | 0.156397i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.271424 | − | 1.88780i | 0.00907271 | − | 0.0631021i | ||||
\(896\) | −3.45331 | −0.115367 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 25.1159 | 0.838127 | ||||||||
\(899\) | 2.51007 | − | 17.4579i | 0.0837156 | − | 0.582255i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −33.0927 | − | 9.71689i | −1.10248 | − | 0.323717i | ||||
\(902\) | 28.0701 | + | 32.3947i | 0.934633 | + | 1.07862i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.39595 | + | 2.18244i | 0.112947 | + | 0.0725869i | ||||
\(905\) | −0.916165 | + | 2.00612i | −0.0304543 | + | 0.0666857i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −17.7025 | + | 11.3767i | −0.587802 | + | 0.377758i | −0.800475 | − | 0.599366i | \(-0.795419\pi\) |
0.212673 | + | 0.977123i | \(0.431783\pi\) | |||||||
\(908\) | 0.251351 | + | 1.74819i | 0.00834138 | + | 0.0580156i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 4.24917 | − | 2.73077i | 0.140859 | − | 0.0905243i | ||||
\(911\) | 13.6421 | − | 15.7438i | 0.451982 | − | 0.521615i | −0.483330 | − | 0.875438i | \(-0.660573\pi\) |
0.935312 | + | 0.353823i | \(0.115118\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −30.2406 | − | 19.4345i | −1.00082 | − | 0.643187i | ||||
\(914\) | 5.88672 | − | 1.72850i | 0.194715 | − | 0.0571736i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 11.2160 | + | 3.29332i | 0.370587 | + | 0.108814i | ||||
\(917\) | −16.6786 | − | 36.5210i | −0.550776 | − | 1.20603i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −45.9764 | −1.51662 | −0.758311 | − | 0.651893i | \(-0.773975\pi\) | ||||
−0.758311 | + | 0.651893i | \(0.773975\pi\) | |||||||
\(920\) | 0.0299232 | − | 1.05687i | 0.000986537 | − | 0.0348439i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.35670 | − | 9.43603i | 0.0446804 | − | 0.310759i | ||||
\(923\) | 9.48060 | + | 20.7596i | 0.312058 | + | 0.683311i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.54848 | + | 5.24923i | 0.149553 | + | 0.172594i | ||||
\(926\) | 26.3528 | − | 7.73788i | 0.866007 | − | 0.254283i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.89818 | + | 8.53583i | −0.127964 | + | 0.280202i | ||||
\(929\) | 12.5398 | − | 14.4718i | 0.411419 | − | 0.474803i | −0.511785 | − | 0.859114i | \(-0.671015\pi\) |
0.923204 | + | 0.384311i | \(0.125561\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.90235 | − | 20.1863i | −0.0951208 | − | 0.661579i | ||||
\(932\) | −0.274007 | − | 1.90576i | −0.00897538 | − | 0.0624252i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −8.17401 | + | 9.43331i | −0.267462 | + | 0.308667i | ||||
\(935\) | −2.42738 | + | 5.31523i | −0.0793839 | + | 0.173826i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −16.8664 | + | 4.95241i | −0.551000 | + | 0.161788i | −0.545369 | − | 0.838196i | \(-0.683610\pi\) |
−0.00563064 | + | 0.999984i | \(0.501792\pi\) | |||||||
\(938\) | 5.39658 | + | 6.22799i | 0.176205 | + | 0.203351i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.366918 | − | 0.803439i | −0.0119676 | − | 0.0262053i | ||||
\(941\) | −1.50432 | + | 10.4628i | −0.0490395 | + | 0.341078i | 0.950500 | + | 0.310725i | \(0.100572\pi\) |
−0.999539 | + | 0.0303521i | \(0.990337\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 35.7875 | − | 15.1347i | 1.16540 | − | 0.492852i | ||||
\(944\) | −12.8697 | −0.418872 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −18.6131 | − | 40.7570i | −0.605164 | − | 1.32512i | ||||
\(947\) | −37.5023 | − | 11.0117i | −1.21866 | − | 0.357831i | −0.391701 | − | 0.920093i | \(-0.628113\pi\) |
−0.826959 | + | 0.562262i | \(0.809931\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.66861 | − | 2.54533i | 0.281395 | − | 0.0826250i | ||||
\(950\) | −17.2471 | − | 11.0840i | −0.559570 | − | 0.359614i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 11.3295 | − | 13.0749i | 0.367191 | − | 0.423761i | ||||
\(953\) | 51.1129 | − | 32.8483i | 1.65571 | − | 1.06406i | 0.731747 | − | 0.681576i | \(-0.238705\pi\) |
0.923962 | − | 0.382484i | \(-0.124931\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.376631 | − | 2.61953i | −0.0121875 | − | 0.0847660i | ||||
\(956\) | 13.0483 | − | 8.38565i | 0.422013 | − | 0.271211i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −8.88496 | + | 19.4554i | −0.287060 | + | 0.628574i | ||||
\(959\) | 13.7542 | + | 8.83930i | 0.444147 | + | 0.285436i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 17.9872 | + | 20.7584i | 0.580233 | + | 0.669625i | ||||
\(962\) | 8.92982 | + | 2.62203i | 0.287909 | + | 0.0845377i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1.59314 | − | 11.0805i | 0.0513115 | − | 0.356879i | ||||
\(965\) | 4.32058 | 0.139084 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 19.5957 | 0.630155 | 0.315077 | − | 0.949066i | \(-0.397970\pi\) | ||||
0.315077 | + | 0.949066i | \(0.397970\pi\) | |||||||
\(968\) | −2.41789 | + | 16.8168i | −0.0777140 | + | 0.540513i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2.23660 | + | 0.656725i | 0.0718129 | + | 0.0210862i | ||||
\(971\) | −15.1705 | − | 17.5077i | −0.486845 | − | 0.561849i | 0.458175 | − | 0.888862i | \(-0.348503\pi\) |
−0.945020 | + | 0.327013i | \(0.893958\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 35.4636 | + | 22.7911i | 1.13691 | + | 0.730649i | ||||
\(974\) | −0.152985 | + | 0.334990i | −0.00490194 | + | 0.0107338i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 10.4140 | − | 6.69268i | 0.333345 | − | 0.214228i | ||||
\(977\) | 6.72588 | + | 46.7795i | 0.215180 | + | 1.49661i | 0.755500 | + | 0.655149i | \(0.227394\pi\) |
−0.540320 | + | 0.841460i | \(0.681697\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −47.2372 | + | 30.3575i | −1.50971 | + | 0.970230i | ||||
\(980\) | −0.711079 | + | 0.820629i | −0.0227146 | + | 0.0262140i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 3.55998 | + | 2.28786i | 0.113604 | + | 0.0730086i | ||||
\(983\) | −42.8628 | + | 12.5856i | −1.36711 | + | 0.401420i | −0.881264 | − | 0.472624i | \(-0.843307\pi\) |
−0.485847 | + | 0.874044i | \(0.661489\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.13962 | − | 0.628249i | −0.0681739 | − | 0.0200177i | ||||
\(986\) | −19.5294 | − | 42.7634i | −0.621942 | − | 1.36186i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −27.4709 | −0.873964 | ||||||||
\(989\) | −40.3504 | + | 4.64018i | −1.28307 | + | 0.147549i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 0.281511 | − | 1.95795i | 0.00894250 | − | 0.0621965i | −0.984862 | − | 0.173343i | \(-0.944543\pi\) |
0.993804 | + | 0.111146i | \(0.0354522\pi\) | |||||||
\(992\) | 0.780797 | + | 1.70971i | 0.0247903 | + | 0.0542833i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −7.77907 | − | 8.97752i | −0.246737 | − | 0.284750i | ||||
\(995\) | 3.86883 | − | 1.13599i | 0.122650 | − | 0.0360133i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −5.90961 | + | 12.9402i | −0.187159 | + | 0.409821i | −0.979831 | − | 0.199827i | \(-0.935962\pi\) |
0.792672 | + | 0.609648i | \(0.208689\pi\) | |||||||
\(998\) | −12.2784 | + | 14.1700i | −0.388666 | + | 0.448544i | ||||
\(999\) | 0 | 0 |
(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 | 414.2.i.g.307.2 | ✓ | 20 | |
3.2 | odd | 2 | 414.2.i.h.307.1 | yes | 20 | ||
23.3 | even | 11 | inner | 414.2.i.g.325.2 | yes | 20 | |
23.7 | odd | 22 | 9522.2.a.ci.1.6 | 10 | |||
23.16 | even | 11 | 9522.2.a.cj.1.5 | 10 | |||
69.26 | odd | 22 | 414.2.i.h.325.1 | yes | 20 | ||
69.53 | even | 22 | 9522.2.a.ch.1.5 | 10 | |||
69.62 | odd | 22 | 9522.2.a.cg.1.6 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
414.2.i.g.307.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
414.2.i.g.325.2 | yes | 20 | 23.3 | even | 11 | inner | |
414.2.i.h.307.1 | yes | 20 | 3.2 | odd | 2 | ||
414.2.i.h.325.1 | yes | 20 | 69.26 | odd | 22 | ||
9522.2.a.cg.1.6 | 10 | 69.62 | odd | 22 | |||
9522.2.a.ch.1.5 | 10 | 69.53 | even | 22 | |||
9522.2.a.ci.1.6 | 10 | 23.7 | odd | 22 | |||
9522.2.a.cj.1.5 | 10 | 23.16 | even | 11 |