Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(37,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bb (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{21})\) |
Twist minimal: | no (minimal twist has level 147) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 109.4 | ||
Character | \(\chi\) | \(=\) | 441.109 |
Dual form | 441.2.bb.e.352.4 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.03880 | − | 0.963867i | 0.734544 | − | 0.681557i | −0.221375 | − | 0.975189i | \(-0.571054\pi\) |
0.955919 | + | 0.293632i | \(0.0948640\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.000608887 | − | 0.00812503i | 0.000304443 | − | 0.00406252i | ||||
\(5\) | 0.107830 | − | 0.274746i | 0.0482230 | − | 0.122870i | −0.904733 | − | 0.425980i | \(-0.859930\pi\) |
0.952956 | + | 0.303109i | \(0.0980248\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.39076 | + | 2.25073i | −0.525656 | + | 0.850697i | ||||
\(8\) | 1.75989 | + | 2.20683i | 0.622213 | + | 0.780231i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.152805 | − | 0.389340i | −0.0483211 | − | 0.123120i | ||||
\(11\) | 5.11416 | + | 1.57751i | 1.54198 | + | 0.475637i | 0.945124 | − | 0.326712i | \(-0.105941\pi\) |
0.596855 | + | 0.802349i | \(0.296417\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.514524 | + | 2.25428i | 0.142703 | + | 0.625224i | 0.994801 | + | 0.101841i | \(0.0324732\pi\) |
−0.852097 | + | 0.523383i | \(0.824670\pi\) | |||||||
\(14\) | 0.724688 | + | 3.67857i | 0.193681 | + | 0.983139i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.97137 | + | 0.598588i | 0.992843 | + | 0.149647i | ||||
\(17\) | 4.63769 | − | 3.16192i | 1.12481 | − | 0.766879i | 0.149724 | − | 0.988728i | \(-0.452161\pi\) |
0.975081 | + | 0.221849i | \(0.0712091\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.21076 | − | 5.56120i | −0.736599 | − | 1.27583i | −0.954018 | − | 0.299749i | \(-0.903097\pi\) |
0.217419 | − | 0.976078i | \(-0.430236\pi\) | |||||||
\(20\) | −0.00216666 | − | 0.00104341i | −0.000484481 | − | 0.000233314i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 6.83311 | − | 3.29065i | 1.45682 | − | 0.701570i | ||||
\(23\) | −5.80770 | − | 3.95962i | −1.21099 | − | 0.825638i | −0.222207 | − | 0.975000i | \(-0.571326\pi\) |
−0.988783 | + | 0.149361i | \(0.952278\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.60140 | + | 3.34161i | 0.720280 | + | 0.668322i | ||||
\(26\) | 2.70731 | + | 1.84581i | 0.530948 | + | 0.361994i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.0174405 | + | 0.0126704i | 0.00329594 | + | 0.00239448i | ||||
\(29\) | −3.53338 | − | 1.70159i | −0.656133 | − | 0.315977i | 0.0760312 | − | 0.997105i | \(-0.475775\pi\) |
−0.732164 | + | 0.681129i | \(0.761489\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.27241 | + | 5.66798i | −0.587742 | + | 1.01800i | 0.406786 | + | 0.913524i | \(0.366650\pi\) |
−0.994527 | + | 0.104475i | \(0.966684\pi\) | |||||||
\(32\) | 0.0380819 | − | 0.0259638i | 0.00673200 | − | 0.00458980i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.76997 | − | 7.75473i | 0.303547 | − | 1.32992i | ||||
\(35\) | 0.468415 | + | 0.624801i | 0.0791766 | + | 0.105611i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.599368 | + | 7.99800i | 0.0985354 | + | 1.31486i | 0.799067 | + | 0.601242i | \(0.205327\pi\) |
−0.700531 | + | 0.713622i | \(0.747054\pi\) | |||||||
\(38\) | −8.69560 | − | 2.68224i | −1.41061 | − | 0.435117i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.796085 | − | 0.245560i | 0.125872 | − | 0.0388264i | ||||
\(41\) | −1.79402 | − | 2.24963i | −0.280178 | − | 0.351332i | 0.621752 | − | 0.783214i | \(-0.286421\pi\) |
−0.901930 | + | 0.431882i | \(0.857850\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.17158 | − | 5.23100i | 0.636160 | − | 0.797719i | −0.354357 | − | 0.935110i | \(-0.615300\pi\) |
0.990517 | + | 0.137391i | \(0.0438716\pi\) | |||||||
\(44\) | 0.0159313 | − | 0.0405922i | 0.00240173 | − | 0.00611951i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −9.84960 | + | 1.48459i | −1.45224 | + | 0.218891i | ||||
\(47\) | 4.12309 | − | 3.82567i | 0.601414 | − | 0.558031i | −0.319603 | − | 0.947551i | \(-0.603550\pi\) |
0.921018 | + | 0.389520i | \(0.127359\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.13160 | − | 6.26044i | −0.447371 | − | 0.894348i | ||||
\(50\) | 6.96201 | 0.984577 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.0186294 | − | 0.00280792i | 0.00258343 | − | 0.000389389i | ||||
\(53\) | −0.232676 | + | 3.10485i | −0.0319605 | + | 0.426483i | 0.958157 | + | 0.286243i | \(0.0924065\pi\) |
−0.990118 | + | 0.140240i | \(0.955213\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.984874 | − | 1.23499i | 0.132800 | − | 0.166526i | ||||
\(56\) | −7.41455 | + | 0.891876i | −0.990810 | + | 0.119182i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.31059 | + | 1.63810i | −0.697314 | + | 0.215093i | ||||
\(59\) | −1.07811 | − | 2.74697i | −0.140357 | − | 0.357625i | 0.843360 | − | 0.537350i | \(-0.180574\pi\) |
−0.983717 | + | 0.179725i | \(0.942479\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.246792 | − | 3.29321i | −0.0315985 | − | 0.421652i | −0.990462 | − | 0.137785i | \(-0.956002\pi\) |
0.958864 | − | 0.283867i | \(-0.0916174\pi\) | |||||||
\(62\) | 2.06379 | + | 9.04207i | 0.262102 | + | 1.14834i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.77286 | + | 7.76739i | −0.221607 | + | 0.970924i | ||||
\(65\) | 0.674835 | + | 0.101715i | 0.0837029 | + | 0.0126162i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.22841 | + | 2.12766i | −0.150074 | + | 0.259935i | −0.931254 | − | 0.364370i | \(-0.881284\pi\) |
0.781181 | + | 0.624305i | \(0.214618\pi\) | |||||||
\(68\) | −0.0228669 | − | 0.0396066i | −0.00277302 | − | 0.00480301i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.08881 | + | 0.197554i | 0.130138 | + | 0.0236122i | ||||
\(71\) | −0.756494 | + | 0.364308i | −0.0897793 | + | 0.0432354i | −0.478235 | − | 0.878232i | \(-0.658723\pi\) |
0.388455 | + | 0.921468i | \(0.373009\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.76324 | − | 6.27537i | −0.791578 | − | 0.734477i | 0.176724 | − | 0.984260i | \(-0.443450\pi\) |
−0.968302 | + | 0.249784i | \(0.919640\pi\) | |||||||
\(74\) | 8.33163 | + | 7.73063i | 0.968533 | + | 0.898667i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.0471399 | + | 0.0227014i | −0.00540732 | + | 0.00260403i | ||||
\(77\) | −10.6631 | + | 9.31669i | −1.21517 | + | 1.06174i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.17678 | − | 10.6985i | −0.694943 | − | 1.20368i | −0.970200 | − | 0.242305i | \(-0.922096\pi\) |
0.275258 | − | 0.961371i | \(-0.411237\pi\) | |||||||
\(80\) | 0.592692 | − | 1.02657i | 0.0662650 | − | 0.114774i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.03197 | − | 0.607721i | −0.445256 | − | 0.0671116i | ||||
\(83\) | 2.83042 | − | 12.4009i | 0.310679 | − | 1.36117i | −0.542721 | − | 0.839913i | \(-0.682606\pi\) |
0.853399 | − | 0.521258i | \(-0.174537\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.368644 | − | 1.61514i | −0.0399851 | − | 0.175186i | ||||
\(86\) | −0.708540 | − | 9.45481i | −0.0764039 | − | 1.01954i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.51905 | + | 14.0623i | 0.588333 | + | 1.49905i | ||||
\(89\) | 6.03004 | − | 1.86002i | 0.639183 | − | 0.197162i | 0.0418100 | − | 0.999126i | \(-0.486688\pi\) |
0.597373 | + | 0.801964i | \(0.296211\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.78935 | − | 1.97709i | −0.606889 | − | 0.207256i | ||||
\(92\) | −0.0357083 | + | 0.0447768i | −0.00372285 | + | 0.00466830i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.595637 | − | 7.94822i | 0.0614352 | − | 0.819796i | ||||
\(95\) | −1.87413 | + | 0.282480i | −0.192282 | + | 0.0289819i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.63741 | 0.470858 | 0.235429 | − | 0.971892i | \(-0.424351\pi\) | ||||
0.235429 | + | 0.971892i | \(0.424351\pi\) | |||||||
\(98\) | −9.28734 | − | 3.48491i | −0.938163 | − | 0.352029i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.0293436 | − | 0.0272268i | 0.00293436 | − | 0.00272268i | ||||
\(101\) | −14.5667 | + | 2.19557i | −1.44944 | + | 0.218468i | −0.826117 | − | 0.563498i | \(-0.809455\pi\) |
−0.623321 | + | 0.781966i | \(0.714217\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.28034 | + | 8.35816i | −0.323221 | + | 0.823554i | 0.673234 | + | 0.739429i | \(0.264905\pi\) |
−0.996455 | + | 0.0841245i | \(0.973191\pi\) | |||||||
\(104\) | −4.06929 | + | 5.10273i | −0.399027 | + | 0.500364i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.75095 | + | 3.44959i | 0.267196 | + | 0.335053i | ||||
\(107\) | −0.641470 | + | 0.197867i | −0.0620132 | + | 0.0191285i | −0.325607 | − | 0.945505i | \(-0.605568\pi\) |
0.263593 | + | 0.964634i | \(0.415092\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.64048 | + | 2.66524i | 0.827608 | + | 0.255283i | 0.679489 | − | 0.733686i | \(-0.262202\pi\) |
0.148120 | + | 0.988969i | \(0.452678\pi\) | |||||||
\(110\) | −0.167280 | − | 2.23220i | −0.0159495 | − | 0.212832i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −6.87047 | + | 8.10601i | −0.649198 | + | 0.765946i | ||||
\(113\) | 2.01162 | − | 8.81349i | 0.189237 | − | 0.829103i | −0.787782 | − | 0.615954i | \(-0.788771\pi\) |
0.977020 | − | 0.213149i | \(-0.0683721\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.71413 | + | 1.16868i | −0.159844 | + | 0.108980i | ||||
\(116\) | −0.0159769 | + | 0.0276728i | −0.00148342 | + | 0.00256935i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.76765 | − | 1.81440i | −0.346840 | − | 0.167029i | ||||
\(119\) | 0.666753 | + | 14.8357i | 0.0611212 | + | 1.35998i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 14.5775 | + | 9.93878i | 1.32523 | + | 0.903525i | ||||
\(122\) | −3.43058 | − | 3.18312i | −0.310590 | − | 0.288186i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.0440600 | + | 0.0300396i | 0.00395670 | + | 0.00269763i | ||||
\(125\) | 2.63603 | − | 1.26945i | 0.235774 | − | 0.113543i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.24779 | + | 1.56405i | 0.288195 | + | 0.138787i | 0.572396 | − | 0.819977i | \(-0.306014\pi\) |
−0.284201 | + | 0.958765i | \(0.591728\pi\) | |||||||
\(128\) | 5.69118 | + | 9.85741i | 0.503034 | + | 0.871280i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.799059 | − | 0.544789i | 0.0700821 | − | 0.0477812i | ||||
\(131\) | −11.0848 | − | 1.67077i | −0.968486 | − | 0.145976i | −0.354295 | − | 0.935134i | \(-0.615279\pi\) |
−0.614190 | + | 0.789158i | \(0.710517\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 16.9822 | + | 0.507705i | 1.47254 | + | 0.0440236i | ||||
\(134\) | 0.774713 | + | 3.39424i | 0.0669250 | + | 0.293218i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 15.1396 | + | 4.66995i | 1.29821 | + | 0.400445i | ||||
\(137\) | 1.59837 | + | 4.07259i | 0.136558 | + | 0.347945i | 0.982751 | − | 0.184932i | \(-0.0592064\pi\) |
−0.846193 | + | 0.532876i | \(0.821111\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.95696 | − | 7.46979i | −0.505262 | − | 0.633579i | 0.462145 | − | 0.886804i | \(-0.347080\pi\) |
−0.967407 | + | 0.253225i | \(0.918509\pi\) | |||||||
\(140\) | 0.00536174 | − | 0.00342545i | 0.000453149 | − | 0.000289504i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.434702 | + | 1.10760i | −0.0364794 | + | 0.0929480i | ||||
\(143\) | −0.924786 | + | 12.3404i | −0.0773345 | + | 1.03196i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.848508 | + | 0.787301i | −0.0704648 | + | 0.0653818i | ||||
\(146\) | −13.0743 | −1.08204 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.0653490 | 0.00537165 | ||||||||
\(149\) | 3.49201 | − | 3.24011i | 0.286077 | − | 0.265441i | −0.524060 | − | 0.851681i | \(-0.675583\pi\) |
0.810137 | + | 0.586241i | \(0.199393\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.572964 | − | 7.64567i | 0.0466271 | − | 0.622196i | −0.924122 | − | 0.382098i | \(-0.875202\pi\) |
0.970749 | − | 0.240098i | \(-0.0771794\pi\) | |||||||
\(152\) | 6.62204 | − | 16.8727i | 0.537118 | − | 1.36855i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.09681 | + | 19.9560i | −0.168965 | + | 1.60810i | ||||
\(155\) | 1.20439 | + | 1.51026i | 0.0967390 | + | 0.121307i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.32378 | − | 13.5648i | −0.424884 | − | 1.08259i | −0.969758 | − | 0.244068i | \(-0.921518\pi\) |
0.544874 | − | 0.838518i | \(-0.316577\pi\) | |||||||
\(158\) | −16.7284 | − | 5.16002i | −1.33084 | − | 0.410509i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.00302709 | − | 0.0132625i | −0.000239312 | − | 0.00104850i | ||||
\(161\) | 16.9891 | − | 7.56472i | 1.33893 | − | 0.596183i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −14.7771 | − | 2.22728i | −1.15743 | − | 0.174454i | −0.457863 | − | 0.889023i | \(-0.651385\pi\) |
−0.699566 | + | 0.714568i | \(0.746623\pi\) | |||||||
\(164\) | −0.0193706 | + | 0.0132067i | −0.00151259 | + | 0.00103127i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −9.01254 | − | 15.6102i | −0.699509 | − | 1.21158i | ||||
\(167\) | −8.45408 | − | 4.07127i | −0.654196 | − | 0.315044i | 0.0771813 | − | 0.997017i | \(-0.475408\pi\) |
−0.731378 | + | 0.681973i | \(0.761122\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.89556 | − | 3.32073i | 0.530428 | − | 0.255441i | ||||
\(170\) | −1.93972 | − | 1.32248i | −0.148770 | − | 0.101430i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.0399620 | − | 0.0370793i | −0.00304707 | − | 0.00282727i | ||||
\(173\) | 10.6087 | + | 7.23291i | 0.806567 | + | 0.549908i | 0.894944 | − | 0.446179i | \(-0.147216\pi\) |
−0.0883771 | + | 0.996087i | \(0.528168\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −12.5297 | + | 3.45843i | −0.947160 | + | 0.261433i | ||||
\(176\) | 19.3660 | + | 9.32616i | 1.45976 | + | 0.702986i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.47120 | − | 7.74434i | 0.335131 | − | 0.580463i | ||||
\(179\) | −9.10511 | + | 6.20776i | −0.680548 | + | 0.463990i | −0.853604 | − | 0.520922i | \(-0.825588\pi\) |
0.173056 | + | 0.984912i | \(0.444636\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.06259 | + | 4.65552i | −0.0789818 | + | 0.346042i | −0.998943 | − | 0.0459677i | \(-0.985363\pi\) |
0.919961 | + | 0.392010i | \(0.128220\pi\) | |||||||
\(182\) | −7.91964 | + | 3.52636i | −0.587043 | + | 0.261391i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.48269 | − | 19.7851i | −0.109305 | − | 1.45857i | ||||
\(185\) | 2.26205 | + | 0.697750i | 0.166309 | + | 0.0512996i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 28.7059 | − | 8.85459i | 2.09918 | − | 0.647512i | ||||
\(188\) | −0.0285732 | − | 0.0358296i | −0.00208391 | − | 0.00261314i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.67458 | + | 2.09986i | −0.121487 | + | 0.152340i | ||||
\(191\) | 7.10267 | − | 18.0973i | 0.513931 | − | 1.30948i | −0.404732 | − | 0.914435i | \(-0.632635\pi\) |
0.918664 | − | 0.395041i | \(-0.129269\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.89187 | − | 1.34023i | 0.640051 | − | 0.0964721i | 0.179005 | − | 0.983848i | \(-0.442712\pi\) |
0.461046 | + | 0.887376i | \(0.347474\pi\) | |||||||
\(194\) | 4.81735 | − | 4.46984i | 0.345865 | − | 0.320916i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.0527731 | + | 0.0216324i | −0.00376950 | + | 0.00154517i | ||||
\(197\) | 18.2654 | 1.30136 | 0.650680 | − | 0.759352i | \(-0.274484\pi\) | ||||
0.650680 | + | 0.759352i | \(0.274484\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −21.8087 | + | 3.28713i | −1.54598 | + | 0.233019i | −0.865936 | − | 0.500154i | \(-0.833277\pi\) |
−0.680042 | + | 0.733173i | \(0.738039\pi\) | |||||||
\(200\) | −1.03630 | + | 13.8285i | −0.0732778 | + | 0.977824i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −13.0156 | + | 16.3211i | −0.915778 | + | 1.14835i | ||||
\(203\) | 8.74389 | − | 5.58621i | 0.613701 | − | 0.392075i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.811524 | + | 0.250322i | −0.0566793 | + | 0.0174832i | ||||
\(206\) | 4.64853 | + | 11.8443i | 0.323879 | + | 0.825230i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.693983 | + | 9.26056i | 0.0481191 | + | 0.642104i | ||||
\(209\) | −7.64751 | − | 33.5059i | −0.528989 | − | 2.31765i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.91907 | + | 17.1706i | −0.269800 | + | 1.18207i | 0.640447 | + | 0.768003i | \(0.278749\pi\) |
−0.910246 | + | 0.414067i | \(0.864108\pi\) | |||||||
\(212\) | 0.0250853 | + | 0.00378100i | 0.00172287 | + | 0.000259680i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.475642 | + | 0.823836i | −0.0325142 | + | 0.0563163i | ||||
\(215\) | −0.987374 | − | 1.71018i | −0.0673384 | − | 0.116633i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −8.20599 | − | 15.2481i | −0.557059 | − | 1.03511i | ||||
\(218\) | 11.5447 | − | 5.55962i | 0.781904 | − | 0.376545i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.00943468 | − | 0.00875411i | −0.000636086 | − | 0.000590202i | ||||
\(221\) | 9.51406 | + | 8.82776i | 0.639985 | + | 0.593819i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.21292 | − | 2.02884i | 0.282118 | − | 0.135861i | −0.287474 | − | 0.957788i | \(-0.592815\pi\) |
0.569592 | + | 0.821928i | \(0.307101\pi\) | |||||||
\(224\) | 0.00547498 | + | 0.121822i | 0.000365812 | + | 0.00813955i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.40535 | − | 11.0944i | −0.426078 | − | 0.737988i | ||||
\(227\) | −1.07960 | + | 1.86992i | −0.0716555 | + | 0.124111i | −0.899627 | − | 0.436659i | \(-0.856162\pi\) |
0.827971 | + | 0.560770i | \(0.189495\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.32059 | + | 1.40485i | 0.615922 | + | 0.0928353i | 0.449591 | − | 0.893235i | \(-0.351570\pi\) |
0.166331 | + | 0.986070i | \(0.446808\pi\) | |||||||
\(230\) | −0.654196 | + | 2.86622i | −0.0431364 | + | 0.188993i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.46324 | − | 10.7922i | −0.161720 | − | 0.708540i | ||||
\(233\) | −0.747043 | − | 9.96860i | −0.0489404 | − | 0.653065i | −0.966697 | − | 0.255922i | \(-0.917621\pi\) |
0.917757 | − | 0.397143i | \(-0.129998\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.606495 | − | 1.54532i | −0.0395633 | − | 0.100806i | ||||
\(236\) | −0.0229756 | + | 0.00708705i | −0.00149559 | + | 0.000461328i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 14.9922 | + | 14.7687i | 0.971802 | + | 0.957309i | ||||
\(239\) | −12.4260 | + | 15.5817i | −0.803772 | + | 1.00790i | 0.195856 | + | 0.980633i | \(0.437251\pi\) |
−0.999628 | + | 0.0272656i | \(0.991320\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.88583 | + | 25.1647i | −0.121477 | + | 1.62100i | 0.520213 | + | 0.854037i | \(0.325853\pi\) |
−0.641690 | + | 0.766964i | \(0.721767\pi\) | |||||||
\(242\) | 24.7228 | − | 3.72636i | 1.58924 | − | 0.239540i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.0269077 | −0.00172259 | ||||||||
\(245\) | −2.05771 | + | 0.185332i | −0.131462 | + | 0.0118404i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.8845 | − | 10.0993i | 0.692563 | − | 0.642604i | ||||
\(248\) | −18.2673 | + | 2.75335i | −1.15997 | + | 0.174838i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.51474 | − | 3.85948i | 0.0958003 | − | 0.244095i | ||||
\(251\) | −7.53070 | + | 9.44320i | −0.475334 | + | 0.596050i | −0.960468 | − | 0.278390i | \(-0.910199\pi\) |
0.485134 | + | 0.874440i | \(0.338771\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −23.4552 | − | 29.4119i | −1.47461 | − | 1.84911i | ||||
\(254\) | 4.88135 | − | 1.50570i | 0.306283 | − | 0.0944758i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.186857 | + | 0.0576377i | 0.0116786 | + | 0.00360236i | ||||
\(257\) | 0.937302 | + | 12.5074i | 0.0584673 | + | 0.780192i | 0.946970 | + | 0.321321i | \(0.104127\pi\) |
−0.888503 | + | 0.458871i | \(0.848254\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −18.8349 | − | 9.77425i | −1.17035 | − | 0.607342i | ||||
\(260\) | 0.00123734 | − | 0.00542112i | 7.67363e−5 | − | 0.000336204i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −13.1253 | + | 8.94870i | −0.810886 | + | 0.552852i | ||||
\(263\) | 4.85395 | − | 8.40729i | 0.299307 | − | 0.518416i | −0.676670 | − | 0.736286i | \(-0.736578\pi\) |
0.975978 | + | 0.217870i | \(0.0699110\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.827954 | + | 0.398722i | 0.0508608 | + | 0.0244933i | ||||
\(266\) | 18.1305 | − | 15.8411i | 1.11165 | − | 0.971283i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.0165394 | + | 0.0112764i | 0.00101030 | + | 0.000688813i | ||||
\(269\) | 1.31561 | + | 1.22070i | 0.0802139 | + | 0.0744277i | 0.719261 | − | 0.694740i | \(-0.244481\pi\) |
−0.639047 | + | 0.769168i | \(0.720671\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 26.7728 | + | 18.2534i | 1.62633 | + | 1.10881i | 0.912981 | + | 0.408002i | \(0.133774\pi\) |
0.713348 | + | 0.700810i | \(0.247178\pi\) | |||||||
\(272\) | 20.3107 | − | 9.78111i | 1.23152 | − | 0.593067i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.58582 | + | 2.68999i | 0.337452 | + | 0.162508i | ||||
\(275\) | 13.1467 | + | 22.7708i | 0.792778 | + | 1.37313i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.3319 | − | 8.40774i | 0.740951 | − | 0.505172i | −0.133042 | − | 0.991110i | \(-0.542474\pi\) |
0.873993 | + | 0.485938i | \(0.161522\pi\) | |||||||
\(278\) | −13.3880 | − | 2.01791i | −0.802957 | − | 0.121026i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.554470 | + | 2.13329i | −0.0331359 | + | 0.127488i | ||||
\(281\) | 2.94605 | + | 12.9075i | 0.175746 | + | 0.769995i | 0.983564 | + | 0.180562i | \(0.0577916\pi\) |
−0.807817 | + | 0.589433i | \(0.799351\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 25.3155 | + | 7.80880i | 1.50485 | + | 0.464185i | 0.934122 | − | 0.356954i | \(-0.116185\pi\) |
0.570729 | + | 0.821139i | \(0.306661\pi\) | |||||||
\(284\) | 0.00249940 | + | 0.00636836i | 0.000148312 | + | 0.000377893i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 10.9338 | + | 13.7106i | 0.646532 | + | 0.810725i | ||||
\(287\) | 7.55834 | − | 0.909173i | 0.446155 | − | 0.0536668i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.29961 | − | 13.5032i | 0.311742 | − | 0.794306i | ||||
\(290\) | −0.122579 | + | 1.63570i | −0.00719806 | + | 0.0960515i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.0551056 | + | 0.0511306i | −0.00322481 | + | 0.00299219i | ||||
\(293\) | 15.5543 | 0.908691 | 0.454345 | − | 0.890826i | \(-0.349873\pi\) | ||||
0.454345 | + | 0.890826i | \(0.349873\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.870970 | −0.0507098 | ||||||||
\(296\) | −16.5954 | + | 15.3983i | −0.964587 | + | 0.895006i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.504469 | − | 6.73167i | 0.0292231 | − | 0.389955i | ||||
\(299\) | 5.93789 | − | 15.1295i | 0.343397 | − | 0.874961i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.97193 | + | 16.6641i | 0.344216 | + | 0.960506i | ||||
\(302\) | −6.77422 | − | 8.49460i | −0.389812 | − | 0.488809i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −9.42226 | − | 24.0075i | −0.540404 | − | 1.37693i | ||||
\(305\) | −0.931407 | − | 0.287301i | −0.0533322 | − | 0.0164508i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.295880 | − | 1.29633i | −0.0168868 | − | 0.0739857i | 0.965782 | − | 0.259354i | \(-0.0835095\pi\) |
−0.982669 | + | 0.185368i | \(0.940652\pi\) | |||||||
\(308\) | 0.0692058 | + | 0.0923109i | 0.00394336 | + | 0.00525990i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.70681 | + | 0.407986i | 0.153737 | + | 0.0231720i | ||||
\(311\) | 5.77642 | − | 3.93830i | 0.327551 | − | 0.223320i | −0.388367 | − | 0.921505i | \(-0.626961\pi\) |
0.715918 | + | 0.698184i | \(0.246008\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.9959 | + | 19.0454i | 0.621524 | + | 1.07651i | 0.989202 | + | 0.146558i | \(0.0468195\pi\) |
−0.367678 | + | 0.929953i | \(0.619847\pi\) | |||||||
\(314\) | −18.6050 | − | 8.95968i | −1.04994 | − | 0.505624i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.0906867 | + | 0.0436724i | −0.00510152 | + | 0.00245676i | ||||
\(317\) | −13.7261 | − | 9.35828i | −0.770933 | − | 0.525613i | 0.112792 | − | 0.993619i | \(-0.464020\pi\) |
−0.883726 | + | 0.468005i | \(0.844973\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.3860 | − | 14.2761i | −0.861452 | − | 0.799311i | ||||
\(320\) | 1.94289 | + | 1.32464i | 0.108611 | + | 0.0740497i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 10.3570 | − | 24.2335i | 0.577171 | − | 1.35048i | ||||
\(323\) | −32.4746 | − | 15.6390i | −1.80694 | − | 0.870175i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.67991 | + | 9.83790i | −0.315065 | + | 0.545708i | ||||
\(326\) | −17.4972 | + | 11.9294i | −0.969082 | + | 0.660709i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.80727 | − | 7.91816i | 0.0997897 | − | 0.437207i | ||||
\(329\) | 2.87635 | + | 14.6005i | 0.158578 | + | 0.804954i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.58846 | + | 21.1965i | 0.0873095 | + | 1.16506i | 0.853020 | + | 0.521879i | \(0.174769\pi\) |
−0.765710 | + | 0.643186i | \(0.777612\pi\) | |||||||
\(332\) | −0.0990340 | − | 0.0305479i | −0.00543520 | − | 0.00167654i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −12.7063 | + | 3.91937i | −0.695256 | + | 0.214458i | ||||
\(335\) | 0.452108 | + | 0.566925i | 0.0247013 | + | 0.0309744i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.5050 | + | 21.9505i | −0.953556 | + | 1.19572i | 0.0270311 | + | 0.999635i | \(0.491395\pi\) |
−0.980587 | + | 0.196086i | \(0.937177\pi\) | |||||||
\(338\) | 3.96238 | − | 10.0960i | 0.215525 | − | 0.549149i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.0133475 | + | 0.00201181i | −0.000723870 | + | 0.000109106i | ||||
\(341\) | −25.6769 | + | 23.8247i | −1.39048 | + | 1.29018i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.4459 | + | 1.65835i | 0.995983 | + | 0.0895423i | ||||
\(344\) | 18.8854 | 1.01823 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 17.9919 | − | 2.71185i | 0.967252 | − | 0.145790i | ||||
\(347\) | −0.225676 | + | 3.01144i | −0.0121149 | + | 0.161663i | 0.987865 | + | 0.155315i | \(0.0496394\pi\) |
−0.999980 | + | 0.00634709i | \(0.997980\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.611775 | + | 0.767142i | −0.0327476 | + | 0.0410642i | −0.797936 | − | 0.602743i | \(-0.794075\pi\) |
0.765188 | + | 0.643807i | \(0.222646\pi\) | |||||||
\(350\) | −9.68245 | + | 15.6696i | −0.517549 | + | 0.837577i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.235715 | − | 0.0727086i | 0.0125637 | − | 0.00387538i | ||||
\(353\) | 4.19772 | + | 10.6956i | 0.223422 | + | 0.569271i | 0.998000 | − | 0.0632075i | \(-0.0201330\pi\) |
−0.774578 | + | 0.632478i | \(0.782038\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.0185196 | + | 0.247127i | 0.000982919 | + | 0.0131161i | ||||
\(356\) | −0.0114411 | − | 0.0501268i | −0.000606378 | − | 0.00265671i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.47495 | + | 15.2247i | −0.183657 | + | 0.804653i | ||||
\(359\) | −9.35161 | − | 1.40953i | −0.493559 | − | 0.0743921i | −0.102453 | − | 0.994738i | \(-0.532669\pi\) |
−0.391106 | + | 0.920346i | \(0.627907\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.1180 | + | 19.2569i | −0.585157 | + | 1.01352i | ||||
\(362\) | 3.38348 | + | 5.86036i | 0.177832 | + | 0.308014i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.0195890 | + | 0.0458349i | −0.00102674 | + | 0.00240240i | ||||
\(365\) | −2.45341 | + | 1.18150i | −0.128417 | + | 0.0618426i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 18.8774 | + | 17.5157i | 0.985394 | + | 0.914312i | 0.996327 | − | 0.0856283i | \(-0.0272898\pi\) |
−0.0109333 | + | 0.999940i | \(0.503480\pi\) | |||||||
\(368\) | −20.6944 | − | 19.2016i | −1.07877 | − | 1.00095i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.02236 | − | 1.45549i | 0.157125 | − | 0.0756674i | ||||
\(371\) | −6.66458 | − | 4.84177i | −0.346008 | − | 0.251372i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.35239 | + | 5.80651i | 0.173580 | + | 0.300650i | 0.939669 | − | 0.342085i | \(-0.111133\pi\) |
−0.766089 | + | 0.642735i | \(0.777800\pi\) | |||||||
\(374\) | 21.2851 | − | 36.8668i | 1.10062 | − | 1.90634i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 15.6987 | + | 2.36621i | 0.809601 | + | 0.122028i | ||||
\(377\) | 2.01784 | − | 8.84073i | 0.103924 | − | 0.455321i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.75095 | + | 16.4340i | 0.192673 | + | 0.844157i | 0.975162 | + | 0.221493i | \(0.0710928\pi\) |
−0.782489 | + | 0.622665i | \(0.786050\pi\) | |||||||
\(380\) | 0.00115403 | + | 0.0153994i | 5.92002e−5 | + | 0.000789972i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.0651 | − | 25.6455i | −0.514977 | − | 1.31214i | ||||
\(383\) | −2.27723 | + | 0.702434i | −0.116361 | + | 0.0358927i | −0.352389 | − | 0.935854i | \(-0.614631\pi\) |
0.236028 | + | 0.971746i | \(0.424154\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.40992 | + | 3.93426i | 0.0718562 | + | 0.200509i | ||||
\(386\) | 7.94508 | − | 9.96281i | 0.404394 | − | 0.507094i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.00282366 | − | 0.0376791i | 0.000143350 | − | 0.00191287i | ||||
\(389\) | −9.47962 | + | 1.42882i | −0.480636 | + | 0.0724442i | −0.384892 | − | 0.922962i | \(-0.625761\pi\) |
−0.0957441 | + | 0.995406i | \(0.530523\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −39.4543 | −1.99529 | ||||||||
\(392\) | 8.30444 | − | 17.9285i | 0.419438 | − | 0.905528i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 18.9742 | − | 17.6055i | 0.955905 | − | 0.886950i | ||||
\(395\) | −3.60541 | + | 0.543428i | −0.181408 | + | 0.0273429i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.39215 | − | 18.8349i | 0.371001 | − | 0.945296i | −0.616453 | − | 0.787392i | \(-0.711431\pi\) |
0.987454 | − | 0.157904i | \(-0.0504738\pi\) | |||||||
\(398\) | −19.4866 | + | 24.4354i | −0.976773 | + | 1.22483i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 12.3023 | + | 15.4265i | 0.615113 | + | 0.771327i | ||||
\(401\) | 13.2509 | − | 4.08737i | 0.661720 | − | 0.204114i | 0.0543371 | − | 0.998523i | \(-0.482695\pi\) |
0.607383 | + | 0.794409i | \(0.292219\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −14.4609 | − | 4.46061i | −0.720350 | − | 0.222199i | ||||
\(404\) | 0.00896965 | + | 0.119692i | 0.000446257 | + | 0.00595488i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.69880 | − | 14.2309i | 0.183569 | − | 0.706268i | ||||
\(407\) | −9.55167 | + | 41.8486i | −0.473459 | + | 2.07436i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.02904 | + | 5.47411i | −0.397011 | + | 0.270677i | −0.745326 | − | 0.666700i | \(-0.767706\pi\) |
0.348315 | + | 0.937377i | \(0.386754\pi\) | |||||||
\(410\) | −0.601735 | + | 1.04224i | −0.0297176 | + | 0.0514724i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.0659130 | + | 0.0317420i | 0.00324730 | + | 0.00156382i | ||||
\(413\) | 7.68207 | + | 1.39383i | 0.378010 | + | 0.0685860i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.10188 | − | 2.11483i | −0.152265 | − | 0.103813i | ||||
\(416\) | 0.0781237 | + | 0.0724882i | 0.00383033 | + | 0.00355403i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −40.2395 | − | 27.4348i | −1.96818 | − | 1.34188i | ||||
\(419\) | −17.2662 | + | 8.31495i | −0.843508 | + | 0.406212i | −0.805164 | − | 0.593053i | \(-0.797923\pi\) |
−0.0383440 | + | 0.999265i | \(0.512208\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −22.9543 | − | 11.0542i | −1.11872 | − | 0.538748i | −0.219225 | − | 0.975674i | \(-0.570353\pi\) |
−0.899497 | + | 0.436926i | \(0.856067\pi\) | |||||||
\(422\) | 12.4790 | + | 21.6143i | 0.607468 | + | 1.05217i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −7.26134 | + | 4.95070i | −0.352642 | + | 0.240427i | ||||
\(425\) | 27.2681 | + | 4.11001i | 1.32270 | + | 0.199365i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.75536 | + | 4.02459i | 0.375308 | + | 0.194763i | ||||
\(428\) | 0.00121710 | + | 0.00533244i | 5.88305e−5 | + | 0.000257753i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.67407 | − | 0.824842i | −0.128955 | − | 0.0397774i | ||||
\(431\) | −8.64196 | − | 22.0193i | −0.416268 | − | 1.06063i | −0.973176 | − | 0.230060i | \(-0.926108\pi\) |
0.556908 | − | 0.830574i | \(-0.311988\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.6957 | − | 17.1738i | −0.658172 | − | 0.825322i | 0.334971 | − | 0.942229i | \(-0.391274\pi\) |
−0.993143 | + | 0.116907i | \(0.962702\pi\) | |||||||
\(434\) | −23.2215 | − | 7.93026i | −1.11467 | − | 0.380665i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.0269162 | − | 0.0685814i | 0.00128905 | − | 0.00328445i | ||||
\(437\) | −3.37312 | + | 45.0112i | −0.161358 | + | 2.15318i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −26.1375 | + | 24.2520i | −1.24747 | + | 1.15749i | −0.266397 | + | 0.963863i | \(0.585833\pi\) |
−0.981076 | + | 0.193623i | \(0.937976\pi\) | |||||||
\(440\) | 4.45868 | 0.212559 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 18.3920 | 0.874818 | ||||||||
\(443\) | 25.1744 | − | 23.3584i | 1.19607 | − | 1.10979i | 0.204683 | − | 0.978828i | \(-0.434384\pi\) |
0.991387 | − | 0.130962i | \(-0.0418067\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.139185 | − | 1.85729i | 0.00659800 | − | 0.0880442i | ||||
\(446\) | 2.42086 | − | 6.16825i | 0.114631 | − | 0.292075i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −15.0167 | − | 14.7928i | −0.709473 | − | 0.698893i | ||||
\(449\) | −18.4950 | − | 23.1920i | −0.872832 | − | 1.09450i | −0.994788 | − | 0.101961i | \(-0.967488\pi\) |
0.121956 | − | 0.992535i | \(-0.461083\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.62609 | − | 14.3350i | −0.264922 | − | 0.675010i | ||||
\(452\) | −0.0703850 | − | 0.0217109i | −0.00331063 | − | 0.00102119i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.680865 | + | 2.98307i | 0.0319546 | + | 0.140002i | ||||
\(455\) | −1.16746 | + | 1.37741i | −0.0547315 | + | 0.0645741i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −23.9192 | − | 3.60524i | −1.11889 | − | 0.168646i | −0.436551 | − | 0.899679i | \(-0.643800\pi\) |
−0.682342 | + | 0.731034i | \(0.739038\pi\) | |||||||
\(458\) | 11.0363 | − | 7.52444i | 0.515694 | − | 0.351594i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.00845182 | + | 0.0146390i | 0.000394068 | + | 0.000682546i | ||||
\(461\) | 14.0557 | + | 6.76889i | 0.654641 | + | 0.315259i | 0.731558 | − | 0.681779i | \(-0.238793\pi\) |
−0.0769170 | + | 0.997038i | \(0.524508\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.50079 | − | 4.57534i | 0.441539 | − | 0.212634i | −0.199887 | − | 0.979819i | \(-0.564057\pi\) |
0.641426 | + | 0.767185i | \(0.278343\pi\) | |||||||
\(464\) | −13.0138 | − | 8.87267i | −0.604152 | − | 0.411904i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −10.3844 | − | 9.63535i | −0.481050 | − | 0.446349i | ||||
\(467\) | −4.97635 | − | 3.39282i | −0.230278 | − | 0.157001i | 0.442684 | − | 0.896677i | \(-0.354026\pi\) |
−0.672963 | + | 0.739676i | \(0.734979\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.08039 | − | 5.72388i | −0.142239 | − | 0.264304i | ||||
\(470\) | −2.11951 | − | 1.02070i | −0.0977659 | − | 0.0470816i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.16474 | − | 7.21354i | 0.191698 | − | 0.332030i | ||||
\(473\) | 29.5861 | − | 20.1715i | 1.36037 | − | 0.927485i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 7.02014 | − | 30.7572i | 0.322106 | − | 1.41124i | ||||
\(476\) | 0.120946 | + | 0.00361585i | 0.00554356 | + | 0.000165732i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.11055 | + | 28.1633i | 0.0965344 | + | 1.28816i | ||||
\(479\) | −37.3458 | − | 11.5196i | −1.70637 | − | 0.526346i | −0.720444 | − | 0.693513i | \(-0.756062\pi\) |
−0.985929 | + | 0.167167i | \(0.946538\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.7213 | + | 5.46631i | −0.808023 | + | 0.249242i | ||||
\(482\) | 22.2964 | + | 27.9588i | 1.01557 | + | 1.27349i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.0896289 | − | 0.112391i | 0.00407404 | − | 0.00510869i | ||||
\(485\) | 0.500051 | − | 1.27411i | 0.0227061 | − | 0.0578543i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.465905 | + | 0.0702239i | −0.0211122 | + | 0.00318215i | −0.159590 | − | 0.987183i | \(-0.551017\pi\) |
0.138478 | + | 0.990366i | \(0.455779\pi\) | |||||||
\(488\) | 6.83322 | − | 6.34030i | 0.309325 | − | 0.287012i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.95892 | + | 2.17588i | −0.0884948 | + | 0.0982963i | ||||
\(491\) | −37.0047 | −1.67000 | −0.834999 | − | 0.550252i | \(-0.814532\pi\) | ||||
−0.834999 | + | 0.550252i | \(0.814532\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −21.7670 | + | 3.28085i | −0.980337 | + | 0.147762i | ||||
\(494\) | 1.57241 | − | 20.9824i | 0.0707462 | − | 0.944042i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −16.3887 | + | 20.5508i | −0.735876 | + | 0.922759i | ||||
\(497\) | 0.232137 | − | 2.20933i | 0.0104128 | − | 0.0991020i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.3963 | + | 3.20683i | −0.465402 | + | 0.143558i | −0.518583 | − | 0.855027i | \(-0.673540\pi\) |
0.0531807 | + | 0.998585i | \(0.483064\pi\) | |||||||
\(500\) | −0.00870924 | − | 0.0221908i | −0.000389489 | − | 0.000992402i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.27908 | + | 17.0682i | 0.0570884 | + | 0.761791i | ||||
\(503\) | 8.26162 | + | 36.1965i | 0.368367 | + | 1.61392i | 0.731265 | + | 0.682094i | \(0.238930\pi\) |
−0.362897 | + | 0.931829i | \(0.618212\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.967498 | + | 4.23888i | −0.0430531 | + | 0.188628i | ||||
\(506\) | −52.7144 | − | 7.94542i | −2.34344 | − | 0.353217i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.0146855 | − | 0.0254361i | 0.000651565 | − | 0.00112854i | ||||
\(509\) | −3.47500 | − | 6.01888i | −0.154027 | − | 0.266782i | 0.778678 | − | 0.627424i | \(-0.215891\pi\) |
−0.932704 | + | 0.360642i | \(0.882557\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 23.5302 | − | 6.49475i | 1.04091 | − | 0.287311i | ||||
\(512\) | −20.2606 | + | 9.75700i | −0.895402 | + | 0.431203i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.0292 | + | 12.0893i | 0.574692 | + | 0.533236i | ||||
\(515\) | 1.94265 | + | 1.80252i | 0.0856035 | + | 0.0794284i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 27.1212 | − | 13.0609i | 1.19279 | − | 0.574417i | ||||
\(518\) | −28.9868 | + | 8.00087i | −1.27361 | + | 0.351538i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.963164 | + | 1.66825i | 0.0422375 | + | 0.0731576i | ||||
\(521\) | 2.50142 | − | 4.33258i | 0.109589 | − | 0.189814i | −0.806015 | − | 0.591895i | \(-0.798380\pi\) |
0.915604 | + | 0.402082i | \(0.131713\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −25.5103 | − | 3.84506i | −1.11549 | − | 0.168133i | −0.434673 | − | 0.900589i | \(-0.643136\pi\) |
−0.680814 | + | 0.732456i | \(0.738374\pi\) | |||||||
\(524\) | −0.0203245 | + | 0.0890472i | −0.000887878 | + | 0.00389005i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.06122 | − | 13.4121i | −0.133475 | − | 0.584794i | ||||
\(527\) | 2.74530 | + | 36.6334i | 0.119587 | + | 1.59578i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.64792 | + | 24.5825i | 0.419475 | + | 1.06880i | ||||
\(530\) | 1.24439 | − | 0.383845i | 0.0540531 | − | 0.0166732i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.0144653 | − | 0.137672i | 0.000627152 | − | 0.00596882i | ||||
\(533\) | 4.14821 | − | 5.20170i | 0.179679 | − | 0.225310i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.0148064 | + | 0.197577i | −0.000640135 | + | 0.00854201i | ||||
\(536\) | −6.85724 | + | 1.03356i | −0.296188 | + | 0.0446431i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 2.54325 | 0.109647 | ||||||||
\(539\) | −6.13960 | − | 36.9570i | −0.264451 | − | 1.59185i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 13.5725 | − | 12.5934i | 0.583526 | − | 0.541433i | −0.332214 | − | 0.943204i | \(-0.607796\pi\) |
0.915740 | + | 0.401771i | \(0.131605\pi\) | |||||||
\(542\) | 45.4054 | − | 6.84376i | 1.95033 | − | 0.293965i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.0945166 | − | 0.240824i | 0.00405237 | − | 0.0103253i | ||||
\(545\) | 1.66396 | − | 2.08655i | 0.0712764 | − | 0.0893778i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −22.3923 | − | 28.0790i | −0.957424 | − | 1.20057i | −0.979629 | − | 0.200818i | \(-0.935640\pi\) |
0.0222047 | − | 0.999753i | \(-0.492931\pi\) | |||||||
\(548\) | 0.0340631 | − | 0.0105071i | 0.00145510 | − | 0.000448840i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 35.6049 | + | 10.9826i | 1.51820 | + | 0.468302i | ||||
\(551\) | 1.88198 | + | 25.1132i | 0.0801749 | + | 1.06986i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 32.6699 | + | 0.976710i | 1.38926 | + | 0.0415339i | ||||
\(554\) | 4.70644 | − | 20.6203i | 0.199958 | − | 0.876071i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.0643194 | + | 0.0438522i | −0.00272775 | + | 0.00185975i | ||||
\(557\) | 9.47566 | − | 16.4123i | 0.401496 | − | 0.695412i | −0.592410 | − | 0.805636i | \(-0.701824\pi\) |
0.993907 | + | 0.110224i | \(0.0351569\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 13.9385 | + | 6.71243i | 0.589536 | + | 0.283905i | ||||
\(560\) | 1.48625 | + | 2.76170i | 0.0628056 | + | 0.116703i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 15.5014 | + | 10.5687i | 0.653889 | + | 0.445814i | ||||
\(563\) | 2.19141 | + | 2.03333i | 0.0923570 | + | 0.0856948i | 0.725000 | − | 0.688749i | \(-0.241840\pi\) |
−0.632643 | + | 0.774443i | \(0.718030\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.20456 | − | 1.50304i | −0.0927464 | − | 0.0632334i | ||||
\(566\) | 33.8244 | − | 16.2890i | 1.42175 | − | 0.684677i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.13531 | − | 1.02831i | −0.0895955 | − | 0.0431469i | ||||
\(569\) | 11.6579 | + | 20.1920i | 0.488723 | + | 0.846492i | 0.999916 | − | 0.0129734i | \(-0.00412967\pi\) |
−0.511193 | + | 0.859466i | \(0.670796\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.9538 | − | 13.6043i | 0.835042 | − | 0.569322i | −0.0685835 | − | 0.997645i | \(-0.521848\pi\) |
0.903626 | + | 0.428323i | \(0.140896\pi\) | |||||||
\(572\) | 0.0997032 | + | 0.0150278i | 0.00416880 | + | 0.000628345i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 6.97530 | − | 8.22969i | 0.291143 | − | 0.343501i | ||||
\(575\) | −7.68434 | − | 33.6673i | −0.320459 | − | 1.40402i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 31.5073 | + | 9.71870i | 1.31166 | + | 0.404595i | 0.870207 | − | 0.492687i | \(-0.163985\pi\) |
0.441458 | + | 0.897282i | \(0.354461\pi\) | |||||||
\(578\) | −7.51004 | − | 19.1353i | −0.312376 | − | 0.795922i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.00588020 | + | 0.00737353i | 0.000244162 | + | 0.000306169i | ||||
\(581\) | 23.9746 | + | 23.6171i | 0.994635 | + | 0.979801i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.08787 | + | 15.5116i | −0.252134 | + | 0.642427i | ||||
\(584\) | 1.94612 | − | 25.9692i | 0.0805312 | − | 1.07461i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 16.1578 | − | 14.9923i | 0.667473 | − | 0.619324i | ||||
\(587\) | −46.8141 | −1.93223 | −0.966113 | − | 0.258120i | \(-0.916897\pi\) | ||||
−0.966113 | + | 0.258120i | \(0.916897\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 42.0277 | 1.73172 | ||||||||
\(590\) | −0.904765 | + | 0.839499i | −0.0372486 | + | 0.0345616i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.40720 | + | 32.1218i | −0.0989352 | + | 1.32020i | ||||
\(593\) | −14.4406 | + | 36.7939i | −0.593002 | + | 1.51095i | 0.247362 | + | 0.968923i | \(0.420436\pi\) |
−0.840364 | + | 0.542022i | \(0.817659\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.14794 | + | 1.41654i | 0.170049 | + | 0.0580725i | ||||
\(596\) | −0.0241998 | − | 0.0303456i | −0.000991262 | − | 0.00124300i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −8.41453 | − | 21.4399i | −0.344096 | − | 0.876741i | ||||
\(599\) | 2.71357 | + | 0.837027i | 0.110874 | + | 0.0342000i | 0.349696 | − | 0.936863i | \(-0.386285\pi\) |
−0.238822 | + | 0.971063i | \(0.576761\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.44133 | + | 6.31487i | 0.0587930 | + | 0.257589i | 0.995780 | − | 0.0917761i | \(-0.0292544\pi\) |
−0.936987 | + | 0.349365i | \(0.886397\pi\) | |||||||
\(602\) | 22.2657 | + | 11.5546i | 0.907481 | + | 0.470930i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.0617725 | − | 0.00931070i | −0.00251349 | − | 0.000378847i | ||||
\(605\) | 4.30253 | − | 2.93341i | 0.174923 | − | 0.119260i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.24760 | + | 9.08911i | 0.212994 | + | 0.368916i | 0.952650 | − | 0.304069i | \(-0.0983453\pi\) |
−0.739656 | + | 0.672985i | \(0.765012\pi\) | |||||||
\(608\) | −0.266662 | − | 0.128418i | −0.0108146 | − | 0.00520803i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.24447 | + | 0.599304i | −0.0503870 | + | 0.0242651i | ||||
\(611\) | 10.7455 | + | 7.32619i | 0.434718 | + | 0.296386i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.39112 | − | 7.78582i | −0.338914 | − | 0.314466i | 0.492293 | − | 0.870430i | \(-0.336159\pi\) |
−0.831207 | + | 0.555963i | \(0.812349\pi\) | |||||||
\(614\) | −1.55685 | − | 1.06144i | −0.0628295 | − | 0.0428364i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −39.3262 | − | 7.13532i | −1.58450 | − | 0.287490i | ||||
\(617\) | −2.49873 | − | 1.20333i | −0.100595 | − | 0.0484441i | 0.382909 | − | 0.923786i | \(-0.374922\pi\) |
−0.483505 | + | 0.875342i | \(0.660636\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −11.0641 | + | 19.1636i | −0.444705 | + | 0.770251i | −0.998032 | − | 0.0627129i | \(-0.980025\pi\) |
0.553327 | + | 0.832964i | \(0.313358\pi\) | |||||||
\(620\) | 0.0130042 | − | 0.00886614i | 0.000522263 | − | 0.000356073i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 2.20456 | − | 9.65881i | 0.0883949 | − | 0.387283i | ||||
\(623\) | −4.19990 | + | 16.1588i | −0.168265 | + | 0.647390i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.77117 | + | 23.6346i | 0.0708468 | + | 0.945385i | ||||
\(626\) | 29.7798 | + | 9.18585i | 1.19024 | + | 0.367140i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.113456 | + | 0.0349965i | −0.00452738 | + | 0.00139651i | ||||
\(629\) | 28.0688 | + | 35.1971i | 1.11917 | + | 1.40340i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 11.0002 | − | 13.7938i | 0.437911 | − | 0.549123i | −0.513080 | − | 0.858341i | \(-0.671496\pi\) |
0.950991 | + | 0.309218i | \(0.100067\pi\) | |||||||
\(632\) | 12.7393 | − | 32.4592i | 0.506742 | − | 1.29116i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −23.2788 | + | 3.50872i | −0.924519 | + | 0.139349i | ||||
\(635\) | 0.779926 | − | 0.723666i | 0.0309504 | − | 0.0287178i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 12.5015 | − | 10.2806i | 0.495327 | − | 0.407334i | ||||
\(638\) | −29.7433 | −1.17755 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3.32196 | − | 0.500705i | 0.131312 | − | 0.0197921i | ||||
\(641\) | −1.16854 | + | 15.5931i | −0.0461545 | + | 0.615888i | 0.925388 | + | 0.379022i | \(0.123739\pi\) |
−0.971542 | + | 0.236867i | \(0.923880\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −6.97587 | + | 8.74747i | −0.275102 | + | 0.344966i | −0.900119 | − | 0.435645i | \(-0.856520\pi\) |
0.625017 | + | 0.780611i | \(0.285092\pi\) | |||||||
\(644\) | −0.0511191 | − | 0.142643i | −0.00201437 | − | 0.00562094i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −48.8086 | + | 15.0554i | −1.92035 | + | 0.592349i | ||||
\(647\) | 1.06904 | + | 2.72387i | 0.0420283 | + | 0.107086i | 0.950347 | − | 0.311193i | \(-0.100729\pi\) |
−0.908318 | + | 0.418279i | \(0.862633\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.18024 | − | 15.7492i | −0.0463284 | − | 0.618209i | ||||
\(650\) | 3.58212 | + | 15.6943i | 0.140502 | + | 0.615581i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.0270943 | + | 0.118708i | −0.00106110 | + | 0.00464896i | ||||
\(653\) | −30.6786 | − | 4.62405i | −1.20055 | − | 0.180953i | −0.481835 | − | 0.876262i | \(-0.660029\pi\) |
−0.718711 | + | 0.695309i | \(0.755267\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.65431 | + | 2.86535i | −0.0646393 | + | 0.111959i | ||||
\(656\) | −5.77811 | − | 10.0080i | −0.225597 | − | 0.390746i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 17.0609 | + | 12.3946i | 0.665104 | + | 0.483194i | ||||
\(659\) | 38.9163 | − | 18.7411i | 1.51597 | − | 0.730050i | 0.523437 | − | 0.852064i | \(-0.324650\pi\) |
0.992528 | + | 0.122014i | \(0.0389353\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −12.6084 | − | 11.6989i | −0.490409 | − | 0.455033i | 0.395788 | − | 0.918342i | \(-0.370472\pi\) |
−0.886197 | + | 0.463309i | \(0.846662\pi\) | |||||||
\(662\) | 22.0807 | + | 20.4879i | 0.858190 | + | 0.796284i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 32.3478 | − | 15.5779i | 1.25534 | − | 0.604538i | ||||
\(665\) | 1.97067 | − | 4.61104i | 0.0764195 | − | 0.178808i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 13.7832 | + | 23.8732i | 0.533687 | + | 0.924373i | ||||
\(668\) | −0.0382268 | + | 0.0662107i | −0.00147904 | + | 0.00256177i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.01609 | + | 0.153151i | 0.0392550 | + | 0.00591674i | ||||
\(671\) | 3.93294 | − | 17.2313i | 0.151829 | − | 0.665208i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.471605 | + | 2.06623i | 0.0181790 | + | 0.0796475i | 0.983204 | − | 0.182511i | \(-0.0584227\pi\) |
−0.965025 | + | 0.262159i | \(0.915566\pi\) | |||||||
\(674\) | 2.97321 | + | 39.6747i | 0.114524 | + | 1.52821i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.0227824 | − | 0.0580486i | −0.000876246 | − | 0.00223264i | ||||
\(677\) | 35.2324 | − | 10.8677i | 1.35409 | − | 0.417681i | 0.469040 | − | 0.883177i | \(-0.344600\pi\) |
0.885050 | + | 0.465496i | \(0.154124\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.44950 | + | 10.4376i | −0.247509 | + | 0.400557i | ||||
\(680\) | 2.91555 | − | 3.65599i | 0.111806 | − | 0.140201i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.70938 | + | 49.4983i | −0.142040 | + | 1.89539i | ||||
\(683\) | 24.1571 | − | 3.64110i | 0.924347 | − | 0.139323i | 0.330413 | − | 0.943837i | \(-0.392812\pi\) |
0.593934 | + | 0.804514i | \(0.297574\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.29128 | 0.0493372 | ||||||||
\(686\) | 20.7600 | − | 16.0567i | 0.792621 | − | 0.613046i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 19.6981 | − | 18.2772i | 0.750983 | − | 0.696811i | ||||
\(689\) | −7.11890 | + | 1.07300i | −0.271209 | + | 0.0408781i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.41992 | − | 24.0016i | 0.358350 | − | 0.913062i | −0.632062 | − | 0.774918i | \(-0.717791\pi\) |
0.990412 | − | 0.138144i | \(-0.0441137\pi\) | |||||||
\(692\) | 0.0652271 | − | 0.0817922i | 0.00247956 | − | 0.00310927i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.66819 | + | 3.34581i | 0.101283 | + | 0.127005i | ||||
\(695\) | −2.69463 | + | 0.831184i | −0.102213 | + | 0.0315286i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −15.4332 | − | 4.76052i | −0.584576 | − | 0.180318i | ||||
\(698\) | 0.103910 | + | 1.38658i | 0.00393304 | + | 0.0524828i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.0204706 | + | 0.103910i | 0.000773717 | + | 0.00392744i | ||||
\(701\) | −5.54248 | + | 24.2832i | −0.209336 | + | 0.917163i | 0.755673 | + | 0.654949i | \(0.227310\pi\) |
−0.965010 | + | 0.262214i | \(0.915547\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 42.5541 | − | 29.0129i | 1.60496 | − | 1.09424i | ||||
\(704\) | −21.3198 | + | 36.9270i | −0.803521 | + | 1.39174i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 14.6698 | + | 7.06458i | 0.552104 | + | 0.265879i | ||||
\(707\) | 15.3170 | − | 35.8392i | 0.576057 | − | 1.34787i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −14.5679 | − | 9.93224i | −0.547110 | − | 0.373013i | 0.257995 | − | 0.966146i | \(-0.416938\pi\) |
−0.805104 | + | 0.593133i | \(0.797891\pi\) | |||||||
\(710\) | 0.257436 | + | 0.238865i | 0.00966139 | + | 0.00896446i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 14.7169 | + | 10.0338i | 0.551540 | + | 0.376033i | ||||
\(713\) | 41.4482 | − | 19.9604i | 1.55225 | − | 0.747523i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.29076 | + | 1.58475i | 0.123067 | + | 0.0592661i | ||||
\(716\) | 0.0448943 | + | 0.0777592i | 0.00167778 | + | 0.00290600i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −11.0731 | + | 7.54949i | −0.413243 | + | 0.281744i | ||||
\(719\) | −44.1084 | − | 6.64827i | −1.64497 | − | 0.247939i | −0.739747 | − | 0.672885i | \(-0.765055\pi\) |
−0.905219 | + | 0.424946i | \(0.860293\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −14.2498 | − | 19.0073i | −0.530692 | − | 0.707869i | ||||
\(722\) | 7.01172 | + | 30.7204i | 0.260949 | + | 1.14329i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.0371792 | + | 0.0114683i | 0.00138176 | + | 0.000426215i | ||||
\(725\) | −7.03908 | − | 17.9353i | −0.261425 | − | 0.666100i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.4756 | + | 13.1360i | 0.388519 | + | 0.487187i | 0.937174 | − | 0.348861i | \(-0.113432\pi\) |
−0.548656 | + | 0.836049i | \(0.684860\pi\) | |||||||
\(728\) | −5.82550 | − | 16.2556i | −0.215907 | − | 0.602471i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.40980 | + | 3.59211i | −0.0521790 | + | 0.132950i | ||||
\(731\) | 2.80649 | − | 37.4500i | 0.103802 | − | 1.38514i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.24123 | − | 1.15169i | 0.0458458 | − | 0.0425387i | −0.656917 | − | 0.753963i | \(-0.728140\pi\) |
0.702763 | + | 0.711424i | \(0.251949\pi\) | |||||||
\(734\) | 36.4927 | 1.34697 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.323975 | −0.0119419 | ||||||||
\(737\) | −9.63869 | + | 8.94339i | −0.355046 | + | 0.329434i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.98367 | − | 26.4702i | 0.0729704 | − | 0.973722i | −0.833792 | − | 0.552079i | \(-0.813835\pi\) |
0.906762 | − | 0.421643i | \(-0.138546\pi\) | |||||||
\(740\) | 0.00704657 | − | 0.0179544i | 0.000259037 | − | 0.000660016i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −11.5900 | + | 1.39413i | −0.425482 | + | 0.0511802i | ||||
\(743\) | 11.2973 | + | 14.1664i | 0.414458 | + | 0.519714i | 0.944613 | − | 0.328187i | \(-0.106438\pi\) |
−0.530155 | + | 0.847901i | \(0.677866\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.513665 | − | 1.30880i | −0.0188192 | − | 0.0479506i | ||||
\(746\) | 9.07917 | + | 2.80055i | 0.332412 | + | 0.102536i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.0544652 | − | 0.238628i | −0.00199145 | − | 0.00872509i | ||||
\(749\) | 0.446781 | − | 1.71896i | 0.0163250 | − | 0.0628095i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 24.6711 | + | 3.71857i | 0.900260 | + | 0.135692i | 0.582835 | − | 0.812591i | \(-0.301944\pi\) |
0.317425 | + | 0.948283i | \(0.397182\pi\) | |||||||
\(752\) | 18.6643 | − | 12.7251i | 0.680618 | − | 0.464037i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −6.42515 | − | 11.1287i | −0.233990 | − | 0.405283i | ||||
\(755\) | −2.03883 | − | 0.981851i | −0.0742008 | − | 0.0357332i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −13.1042 | + | 6.31063i | −0.476279 | + | 0.229364i | −0.656593 | − | 0.754245i | \(-0.728003\pi\) |
0.180314 | + | 0.983609i | \(0.442289\pi\) | |||||||
\(758\) | 19.7367 | + | 13.4562i | 0.716868 | + | 0.488752i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.92164 | − | 3.63875i | −0.142253 | − | 0.131992i | ||||
\(761\) | 10.4488 | + | 7.12388i | 0.378769 | + | 0.258240i | 0.737707 | − | 0.675121i | \(-0.235909\pi\) |
−0.358938 | + | 0.933361i | \(0.616861\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −18.0155 | + | 15.7407i | −0.652206 | + | 0.569853i | ||||
\(764\) | −0.142717 | − | 0.0687287i | −0.00516330 | − | 0.00248652i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.68854 | + | 2.92464i | −0.0610095 | + | 0.105672i | ||||
\(767\) | 5.63772 | − | 3.84373i | 0.203566 | − | 0.138789i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12.0564 | + | 52.8226i | −0.434766 | + | 1.90483i | −0.00908592 | + | 0.999959i | \(0.502892\pi\) |
−0.425680 | + | 0.904874i | \(0.639965\pi\) | |||||||
\(770\) | 5.25673 | + | 2.72794i | 0.189440 | + | 0.0983082i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.00547530 | − | 0.0730628i | −0.000197060 | − | 0.00262959i | ||||
\(773\) | 33.7278 | + | 10.4037i | 1.21311 | + | 0.374194i | 0.834315 | − | 0.551288i | \(-0.185864\pi\) |
0.378792 | + | 0.925482i | \(0.376340\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −30.7254 | + | 9.47754i | −1.10369 | + | 0.340443i | ||||
\(776\) | 8.16131 | + | 10.2340i | 0.292974 | + | 0.367378i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −8.47024 | + | 10.6213i | −0.303673 | + | 0.380794i | ||||
\(779\) | −6.75046 | + | 17.1999i | −0.241860 | + | 0.616250i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.44354 | + | 0.669755i | −0.159002 | + | 0.0239657i | ||||
\(782\) | −40.9852 | + | 38.0287i | −1.46563 | + | 1.35990i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −8.68932 | − | 26.7371i | −0.310333 | − | 0.954895i | ||||
\(785\) | −4.30093 | −0.153507 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −0.229411 | + | 0.0345782i | −0.00817762 | + | 0.00123258i | −0.153130 | − | 0.988206i | \(-0.548935\pi\) |
0.144952 | + | 0.989439i | \(0.453697\pi\) | |||||||
\(788\) | 0.0111216 | − | 0.148407i | 0.000396190 | − | 0.00528679i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.22151 | + | 4.03965i | −0.114616 | + | 0.143724i | ||||
\(791\) | 17.0391 | + | 16.7850i | 0.605842 | + | 0.596807i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.29683 | − | 2.25077i | 0.259118 | − | 0.0799273i | ||||
\(794\) | −10.4754 | − | 26.6908i | −0.371756 | − | 0.947220i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.0134290 | + | 0.179198i | 0.000475979 | + | 0.00635150i | ||||
\(797\) | −11.0103 | − | 48.2392i | −0.390004 | − | 1.70872i | −0.664634 | − | 0.747169i | \(-0.731413\pi\) |
0.274630 | − | 0.961550i | \(-0.411445\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.02514 | − | 30.7792i | 0.248532 | − | 1.08889i | ||||
\(800\) | 0.223909 | + | 0.0337489i | 0.00791639 | + | 0.00119320i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 9.82541 | − | 17.0181i | 0.346947 | − | 0.600930i | ||||
\(803\) | −24.6889 | − | 42.7624i | −0.871251 | − | 1.50905i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.246438 | − | 5.48340i | −0.00868581 | − | 0.193264i | ||||
\(806\) | −19.3215 | + | 9.30473i | −0.680570 | + | 0.327745i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −30.4809 | − | 28.2822i | −1.07232 | − | 0.994963i | ||||
\(809\) | −24.2324 | − | 22.4843i | −0.851964 | − | 0.790507i | 0.127561 | − | 0.991831i | \(-0.459285\pi\) |
−0.979525 | + | 0.201324i | \(0.935476\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 40.6811 | − | 19.5910i | 1.42851 | − | 0.687933i | 0.449788 | − | 0.893135i | \(-0.351499\pi\) |
0.978720 | + | 0.205202i | \(0.0657851\pi\) | |||||||
\(812\) | −0.0400641 | − | 0.0744458i | −0.00140597 | − | 0.00261253i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 30.4142 | + | 52.6789i | 1.06602 | + | 1.84640i | ||||
\(815\) | −2.20535 | + | 3.81977i | −0.0772499 | + | 0.133801i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −42.4846 | − | 6.40352i | −1.48635 | − | 0.224031i | ||||
\(818\) | −3.06427 | + | 13.4254i | −0.107140 | + | 0.469410i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.00153975 | + | 0.00674608i | 5.37703e−5 | + | 0.000235583i | ||||
\(821\) | −0.778090 | − | 10.3829i | −0.0271555 | − | 0.362365i | −0.994184 | − | 0.107696i | \(-0.965653\pi\) |
0.967028 | − | 0.254669i | \(-0.0819665\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 1.95131 | + | 4.97186i | 0.0680184 | + | 0.173308i | 0.960841 | − | 0.277101i | \(-0.0893735\pi\) |
−0.892822 | + | 0.450409i | \(0.851278\pi\) | |||||||
\(824\) | −24.2180 | + | 7.47027i | −0.843674 | + | 0.260239i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 9.32362 | − | 5.95658i | 0.324410 | − | 0.207256i | ||||
\(827\) | −2.88791 | + | 3.62132i | −0.100422 | + | 0.125926i | −0.829503 | − | 0.558502i | \(-0.811376\pi\) |
0.729081 | + | 0.684428i | \(0.239948\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.58100 | − | 21.0970i | 0.0549104 | − | 0.732729i | −0.900010 | − | 0.435868i | \(-0.856441\pi\) |
0.954921 | − | 0.296860i | \(-0.0959396\pi\) | |||||||
\(830\) | −5.26065 | + | 0.792916i | −0.182600 | + | 0.0275225i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −18.4220 | −0.638669 | ||||||||
\(833\) | −34.3184 | − | 19.1321i | −1.18906 | − | 0.662888i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.03017 | + | 1.88372i | −0.0702568 | + | 0.0651888i | ||||
\(836\) | −0.276893 | + | 0.0417349i | −0.00957655 | + | 0.00144343i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −9.92162 | + | 25.2799i | −0.342737 | + | 0.873279i | ||||
\(839\) | −19.7857 | + | 24.8104i | −0.683077 | + | 0.856551i | −0.995634 | − | 0.0933481i | \(-0.970243\pi\) |
0.312557 | + | 0.949899i | \(0.398814\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.49181 | − | 10.6484i | −0.292821 | − | 0.367186i | ||||
\(842\) | −34.4997 | + | 10.6417i | −1.18894 | + | 0.366739i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.137125 | + | 0.0422975i | 0.00472004 | + | 0.00145594i | ||||
\(845\) | −0.168809 | − | 2.25260i | −0.00580721 | − | 0.0774918i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −42.6433 | + | 18.9877i | −1.46524 | + | 0.652424i | ||||
\(848\) | −2.78257 | + | 12.1912i | −0.0955537 | + | 0.418648i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 32.2877 | − | 22.0133i | 1.10746 | − | 0.755052i | ||||
\(851\) | 28.1881 | − | 48.8233i | 0.966277 | − | 1.67364i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −12.5985 | − | 6.06711i | −0.431364 | − | 0.207734i | 0.205586 | − | 0.978639i | \(-0.434090\pi\) |
−0.636950 | + | 0.770905i | \(0.719804\pi\) | |||||||
\(854\) | 11.9354 | − | 3.29439i | 0.408423 | − | 0.112732i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.56557 | − | 1.06739i | −0.0535101 | − | 0.0364826i | ||||
\(857\) | 1.29576 | + | 1.20229i | 0.0442622 | + | 0.0410693i | 0.701994 | − | 0.712183i | \(-0.252293\pi\) |
−0.657732 | + | 0.753252i | \(0.728484\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.36135 | − | 3.65531i | −0.182927 | − | 0.124717i | 0.468394 | − | 0.883519i | \(-0.344833\pi\) |
−0.651321 | + | 0.758802i | \(0.725785\pi\) | |||||||
\(860\) | −0.0144965 | + | 0.00698114i | −0.000494326 | + | 0.000238055i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −30.2010 | − | 14.5440i | −1.02865 | − | 0.495372i | ||||
\(863\) | 16.8325 | + | 29.1548i | 0.572985 | + | 0.992439i | 0.996257 | + | 0.0864368i | \(0.0275481\pi\) |
−0.423272 | + | 0.906003i | \(0.639119\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.13115 | − | 2.13478i | 0.106462 | − | 0.0725847i | ||||
\(866\) | −30.7804 | − | 4.63940i | −1.04596 | − | 0.157653i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.128888 | + | 0.0573895i | −0.00437473 | + | 0.00194793i | ||||
\(869\) | −14.7121 | − | 64.4579i | −0.499073 | − | 2.18658i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.42839 | − | 1.67444i | −0.183934 | − | 0.0567361i | ||||
\(872\) | 9.32454 | + | 23.7586i | 0.315769 | + | 0.804566i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 39.8808 | + | 50.0089i | 1.34899 | + | 1.69158i | ||||
\(875\) | −0.808891 | + | 7.69849i | −0.0273455 | + | 0.260256i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 8.39419 | − | 21.3881i | 0.283452 | − | 0.722223i | −0.716251 | − | 0.697843i | \(-0.754143\pi\) |
0.999703 | − | 0.0243806i | \(-0.00776136\pi\) | |||||||
\(878\) | −3.77592 | + | 50.3861i | −0.127431 | + | 1.70045i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 4.65055 | − | 4.31508i | 0.156770 | − | 0.145461i | ||||
\(881\) | −4.10439 | −0.138280 | −0.0691402 | − | 0.997607i | \(-0.522026\pi\) | ||||
−0.0691402 | + | 0.997607i | \(0.522026\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12.7735 | −0.429861 | −0.214931 | − | 0.976629i | \(-0.568953\pi\) | ||||
−0.214931 | + | 0.976629i | \(0.568953\pi\) | |||||||
\(884\) | 0.0775188 | − | 0.0719269i | 0.00260724 | − | 0.00241916i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 3.63678 | − | 48.5295i | 0.122180 | − | 1.63038i | ||||
\(887\) | −12.1219 | + | 30.8862i | −0.407015 | + | 1.03706i | 0.569574 | + | 0.821940i | \(0.307108\pi\) |
−0.976588 | + | 0.215116i | \(0.930987\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −8.03715 | + | 5.13469i | −0.269557 | + | 0.172212i | ||||
\(890\) | −1.64560 | − | 2.06351i | −0.0551606 | − | 0.0691692i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −0.0139192 | − | 0.0354654i | −0.000466048 | − | 0.00118747i | ||||
\(893\) | −34.5136 | − | 10.6460i | −1.15495 | − | 0.356256i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.723754 | + | 3.17098i | 0.0241924 | + | 0.105994i | ||||
\(896\) | −30.1014 | − | 0.899923i | −1.00562 | − | 0.0300643i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −41.5666 | − | 6.26515i | −1.38709 | − | 0.209071i | ||||
\(899\) | 21.2072 | − | 14.4588i | 0.707301 | − | 0.482229i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 8.73821 | + | 15.1350i | 0.291112 | + | 0.504221i | ||||
\(902\) | −19.6614 | − | 9.46845i | −0.654655 | − | 0.315265i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 22.9901 | − | 11.0714i | 0.764638 | − | 0.368230i | ||||
\(905\) | 1.16451 | + | 0.793947i | 0.0387095 | + | 0.0263917i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 36.3948 | + | 33.7695i | 1.20847 | + | 1.12130i | 0.989344 | + | 0.145600i | \(0.0465112\pi\) |
0.219126 | + | 0.975696i | \(0.429679\pi\) | |||||||
\(908\) | 0.0145358 | + | 0.00991034i | 0.000482388 | + | 0.000328886i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.114879 | + | 2.55614i | 0.00380822 | + | 0.0847351i | ||||
\(911\) | 0.925275 | + | 0.445589i | 0.0306557 | + | 0.0147630i | 0.449149 | − | 0.893457i | \(-0.351727\pi\) |
−0.418493 | + | 0.908220i | \(0.637442\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 34.0377 | − | 58.9550i | 1.12648 | − | 1.95113i | ||||
\(914\) | −28.3223 | + | 19.3098i | −0.936817 | + | 0.638711i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.0170897 | − | 0.0748747i | 0.000564658 | − | 0.00247393i | ||||
\(917\) | 19.1767 | − | 22.6253i | 0.633271 | − | 0.747155i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.67570 | − | 35.7047i | −0.0882631 | − | 1.17779i | −0.848879 | − | 0.528587i | \(-0.822722\pi\) |
0.760616 | − | 0.649202i | \(-0.224897\pi\) | |||||||
\(920\) | −5.59574 | − | 1.72606i | −0.184486 | − | 0.0569065i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 21.1254 | − | 6.51634i | 0.695729 | − | 0.214604i | ||||
\(923\) | −1.21049 | − | 1.51790i | −0.0398437 | − | 0.0499624i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −24.5677 | + | 30.8069i | −0.807780 | + | 1.01292i | ||||
\(926\) | 5.45942 | − | 13.9104i | 0.179408 | − | 0.457123i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.178738 | + | 0.0269404i | −0.00586735 | + | 0.000884361i | ||||
\(929\) | −29.0716 | + | 26.9745i | −0.953808 | + | 0.885005i | −0.993457 | − | 0.114209i | \(-0.963567\pi\) |
0.0396485 | + | 0.999214i | \(0.487376\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −24.7608 | + | 37.5162i | −0.811501 | + | 1.22954i | ||||
\(932\) | −0.0814501 | −0.00266799 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −8.43967 | + | 1.27208i | −0.276155 | + | 0.0416236i | ||||
\(935\) | 0.662587 | − | 8.84161i | 0.0216689 | − | 0.289152i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.70641 | − | 8.40957i | 0.219089 | − | 0.274729i | −0.660125 | − | 0.751155i | \(-0.729497\pi\) |
0.879214 | + | 0.476427i | \(0.158068\pi\) | |||||||
\(938\) | −8.71697 | − | 2.97689i | −0.284619 | − | 0.0971988i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.0129251 | + | 0.00398686i | −0.000421570 | + | 0.000130037i | ||||
\(941\) | −9.09685 | − | 23.1784i | −0.296549 | − | 0.755595i | −0.999036 | − | 0.0438980i | \(-0.986022\pi\) |
0.702487 | − | 0.711697i | \(-0.252073\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.51144 | + | 20.1688i | 0.0492193 | + | 0.656786i | ||||
\(944\) | −2.63726 | − | 11.5546i | −0.0858353 | − | 0.376069i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 11.2915 | − | 49.4712i | 0.367118 | − | 1.60845i | ||||
\(947\) | 44.6304 | + | 6.72695i | 1.45029 | + | 0.218596i | 0.826475 | − | 0.562974i | \(-0.190343\pi\) |
0.623817 | + | 0.781570i | \(0.285581\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 10.6666 | − | 18.4751i | 0.346252 | − | 0.599726i | ||||
\(950\) | −22.3534 | − | 38.7172i | −0.725239 | − | 1.25615i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −31.5663 | + | 27.5805i | −1.02307 | + | 0.893888i | ||||
\(953\) | 36.5566 | − | 17.6047i | 1.18418 | − | 0.570273i | 0.265057 | − | 0.964233i | \(-0.414609\pi\) |
0.919128 | + | 0.393959i | \(0.128895\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.20628 | − | 3.90286i | −0.136112 | − | 0.126294i | ||||
\(956\) | 0.119036 | + | 0.110449i | 0.00384990 | + | 0.00357218i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −49.8983 | + | 24.0297i | −1.61214 | + | 0.776366i | ||||
\(959\) | −11.3893 | − | 2.06646i | −0.367778 | − | 0.0667296i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.91732 | − | 10.2491i | −0.190881 | − | 0.330616i | ||||
\(962\) | −13.1402 | + | 22.7594i | −0.423656 | + | 0.733793i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.203316 | + | 0.0306449i | 0.00654836 | + | 0.000987006i | ||||
\(965\) | 0.590585 | − | 2.58752i | 0.0190116 | − | 0.0832953i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 6.57562 | + | 28.8097i | 0.211458 | + | 0.926457i | 0.963577 | + | 0.267430i | \(0.0861745\pi\) |
−0.752119 | + | 0.659027i | \(0.770968\pi\) | |||||||
\(968\) | 3.72159 | + | 49.6611i | 0.119616 | + | 1.59617i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.708618 | − | 1.80553i | −0.0227524 | − | 0.0579720i | ||||
\(971\) | 41.6573 | − | 12.8496i | 1.33685 | − | 0.412362i | 0.457781 | − | 0.889065i | \(-0.348644\pi\) |
0.879065 | + | 0.476702i | \(0.158168\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 25.0972 | − | 3.01887i | 0.804578 | − | 0.0967806i | ||||
\(974\) | −0.416297 | + | 0.522020i | −0.0133390 | + | 0.0167266i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.991173 | − | 13.2263i | 0.0317267 | − | 0.423363i | ||||
\(977\) | −48.8711 | + | 7.36613i | −1.56352 | + | 0.235663i | −0.873027 | − | 0.487671i | \(-0.837846\pi\) |
−0.690497 | + | 0.723335i | \(0.742608\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 33.7728 | 1.07938 | ||||||||
\(980\) | 0.000252916 | 0.0168318i | 8.07909e−6 | 0.000537672i | ||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −38.4405 | + | 35.6676i | −1.22669 | + | 1.13820i | ||||
\(983\) | −46.1383 | + | 6.95424i | −1.47158 | + | 0.221806i | −0.835362 | − | 0.549700i | \(-0.814742\pi\) |
−0.636223 | + | 0.771506i | \(0.719504\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.96956 | − | 5.01836i | 0.0627554 | − | 0.159898i | ||||
\(986\) | −19.4493 | + | 24.3887i | −0.619392 | + | 0.776693i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.0754299 | − | 0.0945861i | −0.00239974 | − | 0.00300918i | ||||
\(989\) | −44.9401 | + | 13.8622i | −1.42901 | + | 0.440791i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −27.9470 | − | 8.62050i | −0.887765 | − | 0.273839i | −0.182858 | − | 0.983139i | \(-0.558535\pi\) |
−0.704907 | + | 0.709300i | \(0.749011\pi\) | |||||||
\(992\) | 0.0225427 | + | 0.300812i | 0.000715732 | + | 0.00955078i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.88836 | − | 2.51880i | −0.0598950 | − | 0.0798916i | ||||
\(995\) | −1.44850 | + | 6.34631i | −0.0459206 | + | 0.201191i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8.63799 | + | 5.88928i | −0.273568 | + | 0.186515i | −0.692331 | − | 0.721580i | \(-0.743416\pi\) |
0.418763 | + | 0.908095i | \(0.362464\pi\) | |||||||
\(998\) | −7.70873 | + | 13.3519i | −0.244016 | + | 0.422647i | ||||
\(999\) | 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 | 441.2.bb.e.109.4 | 60 | ||
3.2 | odd | 2 | 147.2.m.b.109.2 | yes | 60 | ||
49.9 | even | 21 | inner | 441.2.bb.e.352.4 | 60 | ||
147.95 | odd | 42 | 7203.2.a.n.1.22 | 30 | |||
147.101 | even | 42 | 7203.2.a.m.1.22 | 30 | |||
147.107 | odd | 42 | 147.2.m.b.58.2 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.m.b.58.2 | ✓ | 60 | 147.107 | odd | 42 | ||
147.2.m.b.109.2 | yes | 60 | 3.2 | odd | 2 | ||
441.2.bb.e.109.4 | 60 | 1.1 | even | 1 | trivial | ||
441.2.bb.e.352.4 | 60 | 49.9 | even | 21 | inner | ||
7203.2.a.m.1.22 | 30 | 147.101 | even | 42 | |||
7203.2.a.n.1.22 | 30 | 147.95 | odd | 42 |