Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [961,2,Mod(235,961)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(961, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("961.235");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 961 = 31^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 961.g (of order \(15\), degree \(8\), not 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: | \(7.67362363425\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 844.1 | ||
Root | \(0.913545 + 0.406737i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 961.844 |
Dual form | 961.2.g.e.846.1 |
$q$-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 \(\left(\mathbb{Z}/961\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{14}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 1.53884i | 0.353553 | + | 1.08813i | 0.956844 | + | 0.290604i | \(0.0938561\pi\) |
−0.603290 | + | 0.797522i | \(0.706144\pi\) | |||||||
\(3\) | −3.16535 | + | 0.672816i | −1.82752 | + | 0.388451i | −0.987946 | − | 0.154799i | \(-0.950527\pi\) |
−0.839571 | + | 0.543250i | \(0.817194\pi\) | |||||||
\(4\) | −0.500000 | + | 0.363271i | −0.250000 | + | 0.181636i | ||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | −0.955901 | − | 0.293691i | \(-0.905116\pi\) |
0.732294 | + | 0.680989i | \(0.238450\pi\) | |||||||
\(6\) | −2.61803 | − | 4.53457i | −1.06881 | − | 1.85123i | ||||
\(7\) | 0.215659 | + | 0.0960175i | 0.0815114 | + | 0.0362912i | 0.447087 | − | 0.894490i | \(-0.352461\pi\) |
−0.365576 | + | 0.930781i | \(0.619128\pi\) | |||||||
\(8\) | 1.80902 | + | 1.31433i | 0.639584 | + | 0.464685i | ||||
\(9\) | 6.82614 | − | 3.03919i | 2.27538 | − | 1.01306i | ||||
\(10\) | −1.58268 | − | 0.336408i | −0.500486 | − | 0.106382i | ||||
\(11\) | 0.209057 | + | 1.98904i | 0.0630330 | + | 0.599719i | 0.979756 | + | 0.200196i | \(0.0641578\pi\) |
−0.916723 | + | 0.399524i | \(0.869176\pi\) | |||||||
\(12\) | 1.33826 | − | 1.48629i | 0.386323 | − | 0.429055i | ||||
\(13\) | 2.16535 | + | 2.40487i | 0.600561 | + | 0.666990i | 0.964393 | − | 0.264474i | \(-0.0851985\pi\) |
−0.363832 | + | 0.931465i | \(0.618532\pi\) | |||||||
\(14\) | −0.0399263 | + | 0.379874i | −0.0106708 | + | 0.101525i | ||||
\(15\) | 1.00000 | − | 3.07768i | 0.258199 | − | 0.794654i | ||||
\(16\) | −1.50000 | + | 4.61653i | −0.375000 | + | 1.15413i | ||||
\(17\) | 0.0798526 | − | 0.759747i | 0.0193671 | − | 0.184266i | −0.980562 | − | 0.196212i | \(-0.937136\pi\) |
0.999929 | + | 0.0119461i | \(0.00380265\pi\) | |||||||
\(18\) | 8.08990 | + | 8.98475i | 1.90681 | + | 2.11773i | ||||
\(19\) | −1.49622 | + | 1.66172i | −0.343257 | + | 0.381225i | −0.889912 | − | 0.456133i | \(-0.849234\pi\) |
0.546655 | + | 0.837358i | \(0.315901\pi\) | |||||||
\(20\) | −0.0646021 | − | 0.614648i | −0.0144455 | − | 0.137440i | ||||
\(21\) | −0.747238 | − | 0.158830i | −0.163061 | − | 0.0346596i | ||||
\(22\) | −2.95630 | + | 1.31623i | −0.630284 | + | 0.280621i | ||||
\(23\) | 4.61803 | + | 3.35520i | 0.962927 | + | 0.699607i | 0.953829 | − | 0.300351i | \(-0.0971040\pi\) |
0.00909805 | + | 0.999959i | \(0.497104\pi\) | |||||||
\(24\) | −6.61048 | − | 2.94317i | −1.34936 | − | 0.600773i | ||||
\(25\) | 2.00000 | + | 3.46410i | 0.400000 | + | 0.692820i | ||||
\(26\) | −2.61803 | + | 4.53457i | −0.513439 | + | 0.889302i | ||||
\(27\) | −11.7082 | + | 8.50651i | −2.25324 | + | 1.63708i | ||||
\(28\) | −0.142710 | + | 0.0303339i | −0.0269696 | + | 0.00573257i | ||||
\(29\) | −0.854102 | − | 2.62866i | −0.158603 | − | 0.488129i | 0.839905 | − | 0.542733i | \(-0.182610\pi\) |
−0.998508 | + | 0.0546038i | \(0.982610\pi\) | |||||||
\(30\) | 5.23607 | 0.955971 | ||||||||
\(31\) | 0 | 0 | ||||||||
\(32\) | −3.38197 | −0.597853 | ||||||||
\(33\) | −2.00000 | − | 6.15537i | −0.348155 | − | 1.07151i | ||||
\(34\) | 1.20906 | − | 0.256993i | 0.207352 | − | 0.0440739i | ||||
\(35\) | −0.190983 | + | 0.138757i | −0.0322820 | + | 0.0234543i | ||||
\(36\) | −2.30902 | + | 3.99933i | −0.384836 | + | 0.666556i | ||||
\(37\) | −1.00000 | − | 1.73205i | −0.164399 | − | 0.284747i | 0.772043 | − | 0.635571i | \(-0.219235\pi\) |
−0.936442 | + | 0.350823i | \(0.885902\pi\) | |||||||
\(38\) | −3.30524 | − | 1.47159i | −0.536180 | − | 0.238723i | ||||
\(39\) | −8.47214 | − | 6.15537i | −1.35663 | − | 0.985648i | ||||
\(40\) | −2.04275 | + | 0.909491i | −0.322987 | + | 0.143803i | ||||
\(41\) | −6.84703 | − | 1.45538i | −1.06933 | − | 0.227292i | −0.360561 | − | 0.932736i | \(-0.617415\pi\) |
−0.708766 | + | 0.705443i | \(0.750748\pi\) | |||||||
\(42\) | −0.129204 | − | 1.22930i | −0.0199367 | − | 0.189685i | ||||
\(43\) | −0.827091 | + | 0.918578i | −0.126130 | + | 0.140082i | −0.802902 | − | 0.596111i | \(-0.796712\pi\) |
0.676772 | + | 0.736193i | \(0.263378\pi\) | |||||||
\(44\) | −0.827091 | − | 0.918578i | −0.124689 | − | 0.138481i | ||||
\(45\) | −0.781051 | + | 7.43120i | −0.116432 | + | 1.10778i | ||||
\(46\) | −2.85410 | + | 8.78402i | −0.420814 | + | 1.29513i | ||||
\(47\) | 0.763932 | − | 2.35114i | 0.111431 | − | 0.342949i | −0.879755 | − | 0.475427i | \(-0.842293\pi\) |
0.991186 | + | 0.132478i | \(0.0422935\pi\) | |||||||
\(48\) | 1.64195 | − | 15.6222i | 0.236996 | − | 2.25486i | ||||
\(49\) | −4.64662 | − | 5.16060i | −0.663804 | − | 0.737229i | ||||
\(50\) | −4.33070 | + | 4.80973i | −0.612454 | + | 0.680199i | ||||
\(51\) | 0.258409 | + | 2.45859i | 0.0361844 | + | 0.344272i | ||||
\(52\) | −1.95630 | − | 0.415823i | −0.271289 | − | 0.0576643i | ||||
\(53\) | 9.56677 | − | 4.25940i | 1.31410 | − | 0.585074i | 0.374459 | − | 0.927243i | \(-0.377828\pi\) |
0.939638 | + | 0.342170i | \(0.111162\pi\) | |||||||
\(54\) | −18.9443 | − | 13.7638i | −2.57799 | − | 1.87302i | ||||
\(55\) | −1.82709 | − | 0.813473i | −0.246365 | − | 0.109689i | ||||
\(56\) | 0.263932 | + | 0.457144i | 0.0352694 | + | 0.0610884i | ||||
\(57\) | 3.61803 | − | 6.26662i | 0.479220 | − | 0.830034i | ||||
\(58\) | 3.61803 | − | 2.62866i | 0.475071 | − | 0.345159i | ||||
\(59\) | −2.18720 | + | 0.464905i | −0.284750 | + | 0.0605254i | −0.348072 | − | 0.937468i | \(-0.613164\pi\) |
0.0633226 | + | 0.997993i | \(0.479830\pi\) | |||||||
\(60\) | 0.618034 | + | 1.90211i | 0.0797878 | + | 0.245562i | ||||
\(61\) | −8.18034 | −1.04739 | −0.523693 | − | 0.851907i | \(-0.675446\pi\) | ||||
−0.523693 | + | 0.851907i | \(0.675446\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.76393 | 0.222235 | ||||||||
\(64\) | 1.30902 | + | 4.02874i | 0.163627 | + | 0.503593i | ||||
\(65\) | −3.16535 | + | 0.672816i | −0.392614 | + | 0.0834526i | ||||
\(66\) | 8.47214 | − | 6.15537i | 1.04285 | − | 0.757673i | ||||
\(67\) | −4.00000 | + | 6.92820i | −0.488678 | + | 0.846415i | −0.999915 | − | 0.0130248i | \(-0.995854\pi\) |
0.511237 | + | 0.859440i | \(0.329187\pi\) | |||||||
\(68\) | 0.236068 | + | 0.408882i | 0.0286274 | + | 0.0495842i | ||||
\(69\) | −16.8751 | − | 7.51329i | −2.03153 | − | 0.904494i | ||||
\(70\) | −0.309017 | − | 0.224514i | −0.0369346 | − | 0.0268346i | ||||
\(71\) | −8.38666 | + | 3.73398i | −0.995313 | + | 0.443142i | −0.838745 | − | 0.544525i | \(-0.816710\pi\) |
−0.156569 | + | 0.987667i | \(0.550043\pi\) | |||||||
\(72\) | 16.3431 | + | 3.47383i | 1.92605 | + | 0.409395i | ||||
\(73\) | 0.885579 | + | 8.42572i | 0.103649 | + | 0.986156i | 0.915507 | + | 0.402302i | \(0.131790\pi\) |
−0.811858 | + | 0.583855i | \(0.801544\pi\) | |||||||
\(74\) | 2.16535 | − | 2.40487i | 0.251717 | − | 0.279560i | ||||
\(75\) | −8.66141 | − | 9.61947i | −1.00013 | − | 1.11076i | ||||
\(76\) | 0.144455 | − | 1.37440i | 0.0165701 | − | 0.157654i | ||||
\(77\) | −0.145898 | + | 0.449028i | −0.0166266 | + | 0.0511715i | ||||
\(78\) | 5.23607 | − | 16.1150i | 0.592868 | − | 1.82466i | ||||
\(79\) | −1.22384 | + | 11.6441i | −0.137693 | + | 1.31006i | 0.679492 | + | 0.733683i | \(0.262200\pi\) |
−0.817184 | + | 0.576376i | \(0.804466\pi\) | |||||||
\(80\) | −3.24803 | − | 3.60730i | −0.363141 | − | 0.403308i | ||||
\(81\) | 16.3378 | − | 18.1449i | 1.81531 | − | 2.01610i | ||||
\(82\) | −1.18391 | − | 11.2642i | −0.130741 | − | 1.24392i | ||||
\(83\) | −14.6177 | − | 3.10709i | −1.60450 | − | 0.341047i | −0.683301 | − | 0.730136i | \(-0.739456\pi\) |
−0.921200 | + | 0.389089i | \(0.872790\pi\) | |||||||
\(84\) | 0.431318 | − | 0.192035i | 0.0470606 | − | 0.0209527i | ||||
\(85\) | 0.618034 | + | 0.449028i | 0.0670352 | + | 0.0487039i | ||||
\(86\) | −1.82709 | − | 0.813473i | −0.197020 | − | 0.0877191i | ||||
\(87\) | 4.47214 | + | 7.74597i | 0.479463 | + | 0.830455i | ||||
\(88\) | −2.23607 | + | 3.87298i | −0.238366 | + | 0.412861i | ||||
\(89\) | 9.47214 | − | 6.88191i | 1.00404 | − | 0.729481i | 0.0410928 | − | 0.999155i | \(-0.486916\pi\) |
0.962952 | + | 0.269674i | \(0.0869161\pi\) | |||||||
\(90\) | −11.8260 | + | 2.51369i | −1.24657 | + | 0.264966i | ||||
\(91\) | 0.236068 | + | 0.726543i | 0.0247466 | + | 0.0761624i | ||||
\(92\) | −3.52786 | −0.367805 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.00000 | 0.412568 | ||||||||
\(95\) | −0.690983 | − | 2.12663i | −0.0708934 | − | 0.218187i | ||||
\(96\) | 10.7051 | − | 2.27544i | 1.09259 | − | 0.232236i | ||||
\(97\) | 12.8992 | − | 9.37181i | 1.30971 | − | 0.951563i | 0.309714 | − | 0.950830i | \(-0.399767\pi\) |
1.00000 | 0.000733244i | \(-0.000233399\pi\) | ||||||||
\(98\) | 5.61803 | − | 9.73072i | 0.567507 | − | 0.982951i | ||||
\(99\) | 7.47214 | + | 12.9421i | 0.750978 | + | 1.30073i | ||||
\(100\) | −2.25841 | − | 1.00551i | −0.225841 | − | 0.100551i | ||||
\(101\) | 2.42705 | + | 1.76336i | 0.241501 | + | 0.175460i | 0.701952 | − | 0.712225i | \(-0.252312\pi\) |
−0.460451 | + | 0.887685i | \(0.652312\pi\) | |||||||
\(102\) | −3.65418 | + | 1.62695i | −0.361818 | + | 0.161092i | ||||
\(103\) | −6.09979 | − | 1.29655i | −0.601031 | − | 0.127753i | −0.102659 | − | 0.994717i | \(-0.532735\pi\) |
−0.498371 | + | 0.866964i | \(0.666068\pi\) | |||||||
\(104\) | 0.756375 | + | 7.19643i | 0.0741687 | + | 0.705668i | ||||
\(105\) | 0.511170 | − | 0.567712i | 0.0498851 | − | 0.0554030i | ||||
\(106\) | 11.3379 | + | 12.5920i | 1.10124 | + | 1.22305i | ||||
\(107\) | −0.602495 | + | 5.73236i | −0.0582454 | + | 0.554168i | 0.926020 | + | 0.377473i | \(0.123207\pi\) |
−0.984266 | + | 0.176694i | \(0.943460\pi\) | |||||||
\(108\) | 2.76393 | − | 8.50651i | 0.265959 | − | 0.818539i | ||||
\(109\) | −4.30902 | + | 13.2618i | −0.412729 | + | 1.27025i | 0.501538 | + | 0.865136i | \(0.332768\pi\) |
−0.914266 | + | 0.405113i | \(0.867232\pi\) | |||||||
\(110\) | 0.338261 | − | 3.21834i | 0.0322519 | − | 0.306857i | ||||
\(111\) | 4.33070 | + | 4.80973i | 0.411052 | + | 0.456520i | ||||
\(112\) | −0.766755 | + | 0.851568i | −0.0724516 | + | 0.0804656i | ||||
\(113\) | −0.362937 | − | 3.45312i | −0.0341422 | − | 0.324842i | −0.998240 | − | 0.0592958i | \(-0.981114\pi\) |
0.964098 | − | 0.265546i | \(-0.0855522\pi\) | |||||||
\(114\) | 11.4524 | + | 2.43427i | 1.07261 | + | 0.227991i | ||||
\(115\) | −5.21470 | + | 2.32174i | −0.486274 | + | 0.216503i | ||||
\(116\) | 1.38197 | + | 1.00406i | 0.128312 | + | 0.0932244i | ||||
\(117\) | 22.0898 | + | 9.83503i | 2.04221 | + | 0.909249i | ||||
\(118\) | −1.80902 | − | 3.13331i | −0.166534 | − | 0.288445i | ||||
\(119\) | 0.0901699 | − | 0.156179i | 0.00826587 | − | 0.0143169i | ||||
\(120\) | 5.85410 | − | 4.25325i | 0.534404 | − | 0.388267i | ||||
\(121\) | 6.84703 | − | 1.45538i | 0.622458 | − | 0.132307i | ||||
\(122\) | −4.09017 | − | 12.5882i | −0.370307 | − | 1.13969i | ||||
\(123\) | 22.6525 | 2.04250 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.00000 | −0.804984 | ||||||||
\(126\) | 0.881966 | + | 2.71441i | 0.0785718 | + | 0.241819i | ||||
\(127\) | 12.1996 | − | 2.59310i | 1.08254 | − | 0.230101i | 0.368091 | − | 0.929790i | \(-0.380011\pi\) |
0.714447 | + | 0.699689i | \(0.246678\pi\) | |||||||
\(128\) | −11.0172 | + | 8.00448i | −0.973794 | + | 0.707503i | ||||
\(129\) | 2.00000 | − | 3.46410i | 0.176090 | − | 0.304997i | ||||
\(130\) | −2.61803 | − | 4.53457i | −0.229617 | − | 0.397708i | ||||
\(131\) | 10.9625 | + | 4.88084i | 0.957802 | + | 0.426441i | 0.825270 | − | 0.564738i | \(-0.191023\pi\) |
0.132532 | + | 0.991179i | \(0.457689\pi\) | |||||||
\(132\) | 3.23607 | + | 2.35114i | 0.281664 | + | 0.204641i | ||||
\(133\) | −0.482228 | + | 0.214702i | −0.0418145 | + | 0.0186170i | ||||
\(134\) | −12.6614 | − | 2.69127i | −1.09378 | − | 0.232490i | ||||
\(135\) | −1.51275 | − | 14.3929i | −0.130197 | − | 1.23874i | ||||
\(136\) | 1.14301 | − | 1.26944i | 0.0980124 | − | 0.108854i | ||||
\(137\) | −4.21003 | − | 4.67572i | −0.359687 | − | 0.399473i | 0.535956 | − | 0.844246i | \(-0.319951\pi\) |
−0.895644 | + | 0.444772i | \(0.853285\pi\) | |||||||
\(138\) | 3.12420 | − | 29.7248i | 0.265950 | − | 2.53034i | ||||
\(139\) | −4.14590 | + | 12.7598i | −0.351650 | + | 1.08227i | 0.606276 | + | 0.795254i | \(0.292663\pi\) |
−0.957926 | + | 0.287014i | \(0.907337\pi\) | |||||||
\(140\) | 0.0450850 | − | 0.138757i | 0.00381038 | − | 0.0117271i | ||||
\(141\) | −0.836228 | + | 7.95618i | −0.0704231 | + | 0.670031i | ||||
\(142\) | −9.93933 | − | 11.0387i | −0.834090 | − | 0.926351i | ||||
\(143\) | −4.33070 | + | 4.80973i | −0.362152 | + | 0.402210i | ||||
\(144\) | 3.79130 | + | 36.0718i | 0.315942 | + | 3.00598i | ||||
\(145\) | 2.70353 | + | 0.574654i | 0.224516 | + | 0.0477224i | ||||
\(146\) | −12.5231 | + | 5.57563i | −1.03642 | + | 0.461442i | ||||
\(147\) | 18.1803 | + | 13.2088i | 1.49949 | + | 1.08944i | ||||
\(148\) | 1.12920 | + | 0.502754i | 0.0928200 | + | 0.0413261i | ||||
\(149\) | −5.00000 | − | 8.66025i | −0.409616 | − | 0.709476i | 0.585231 | − | 0.810867i | \(-0.301004\pi\) |
−0.994847 | + | 0.101391i | \(0.967671\pi\) | |||||||
\(150\) | 10.4721 | − | 18.1383i | 0.855046 | − | 1.48098i | ||||
\(151\) | −11.4721 | + | 8.33499i | −0.933589 | + | 0.678292i | −0.946869 | − | 0.321620i | \(-0.895773\pi\) |
0.0132798 | + | 0.999912i | \(0.495773\pi\) | |||||||
\(152\) | −4.89074 | + | 1.03956i | −0.396691 | + | 0.0843193i | ||||
\(153\) | −1.76393 | − | 5.42882i | −0.142605 | − | 0.438894i | ||||
\(154\) | −0.763932 | −0.0615594 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 6.47214 | 0.518186 | ||||||||
\(157\) | 6.45492 | + | 19.8662i | 0.515158 | + | 1.58549i | 0.782994 | + | 0.622030i | \(0.213692\pi\) |
−0.267835 | + | 0.963465i | \(0.586308\pi\) | |||||||
\(158\) | −18.5303 | + | 3.93874i | −1.47419 | + | 0.313349i | ||||
\(159\) | −27.4164 | + | 19.9192i | −2.17426 | + | 1.57969i | ||||
\(160\) | 1.69098 | − | 2.92887i | 0.133684 | − | 0.231547i | ||||
\(161\) | 0.673762 | + | 1.16699i | 0.0530999 | + | 0.0919717i | ||||
\(162\) | 36.0911 | + | 16.0688i | 2.83558 | + | 1.26248i | ||||
\(163\) | −8.66312 | − | 6.29412i | −0.678548 | − | 0.492994i | 0.194328 | − | 0.980937i | \(-0.437747\pi\) |
−0.872876 | + | 0.487943i | \(0.837747\pi\) | |||||||
\(164\) | 3.95222 | − | 1.75964i | 0.308616 | − | 0.137405i | ||||
\(165\) | 6.33070 | + | 1.34563i | 0.492845 | + | 0.104757i | ||||
\(166\) | −2.52753 | − | 24.0479i | −0.196175 | − | 1.86648i | ||||
\(167\) | 4.33070 | − | 4.80973i | 0.335120 | − | 0.372188i | −0.551907 | − | 0.833905i | \(-0.686100\pi\) |
0.887027 | + | 0.461717i | \(0.152766\pi\) | |||||||
\(168\) | −1.14301 | − | 1.26944i | −0.0881853 | − | 0.0979396i | ||||
\(169\) | 0.264234 | − | 2.51402i | 0.0203257 | − | 0.193386i | ||||
\(170\) | −0.381966 | + | 1.17557i | −0.0292955 | + | 0.0901621i | ||||
\(171\) | −5.16312 | + | 15.8904i | −0.394834 | + | 1.21517i | ||||
\(172\) | 0.0798526 | − | 0.759747i | 0.00608871 | − | 0.0579302i | ||||
\(173\) | 1.97010 | + | 2.18802i | 0.149784 | + | 0.166352i | 0.813367 | − | 0.581750i | \(-0.197632\pi\) |
−0.663583 | + | 0.748102i | \(0.730965\pi\) | |||||||
\(174\) | −9.68375 | + | 10.7549i | −0.734123 | + | 0.815326i | ||||
\(175\) | 0.0987033 | + | 0.939099i | 0.00746127 | + | 0.0709892i | ||||
\(176\) | −9.49606 | − | 2.01845i | −0.715792 | − | 0.152146i | ||||
\(177\) | 6.61048 | − | 2.94317i | 0.496874 | − | 0.221223i | ||||
\(178\) | 15.3262 | + | 11.1352i | 1.14875 | + | 0.834616i | ||||
\(179\) | −1.56052 | − | 0.694789i | −0.116639 | − | 0.0519310i | 0.347588 | − | 0.937648i | \(-0.387001\pi\) |
−0.464226 | + | 0.885717i | \(0.653668\pi\) | |||||||
\(180\) | −2.30902 | − | 3.99933i | −0.172104 | − | 0.298093i | ||||
\(181\) | −2.09017 | + | 3.62028i | −0.155361 | + | 0.269093i | −0.933190 | − | 0.359382i | \(-0.882987\pi\) |
0.777829 | + | 0.628476i | \(0.216321\pi\) | |||||||
\(182\) | −1.00000 | + | 0.726543i | −0.0741249 | + | 0.0538549i | ||||
\(183\) | 25.8937 | − | 5.50387i | 1.91411 | − | 0.406858i | ||||
\(184\) | 3.94427 | + | 12.1392i | 0.290776 | + | 0.894915i | ||||
\(185\) | 2.00000 | 0.147043 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.52786 | 0.111728 | ||||||||
\(188\) | 0.472136 | + | 1.45309i | 0.0344341 | + | 0.105977i | ||||
\(189\) | −3.34175 | + | 0.710311i | −0.243077 | + | 0.0516675i | ||||
\(190\) | 2.92705 | − | 2.12663i | 0.212351 | − | 0.154282i | ||||
\(191\) | 9.59017 | − | 16.6107i | 0.693920 | − | 1.20191i | −0.276623 | − | 0.960979i | \(-0.589215\pi\) |
0.970543 | − | 0.240927i | \(-0.0774514\pi\) | |||||||
\(192\) | −6.85410 | − | 11.8717i | −0.494652 | − | 0.856763i | ||||
\(193\) | 3.17195 | + | 1.41224i | 0.228322 | + | 0.101656i | 0.517709 | − | 0.855557i | \(-0.326785\pi\) |
−0.289387 | + | 0.957212i | \(0.593452\pi\) | |||||||
\(194\) | 20.8713 | + | 15.1639i | 1.49847 | + | 1.08870i | ||||
\(195\) | 9.56677 | − | 4.25940i | 0.685091 | − | 0.305022i | ||||
\(196\) | 4.19801 | + | 0.892315i | 0.299858 | + | 0.0637368i | ||||
\(197\) | 1.19334 | + | 11.3539i | 0.0850219 | + | 0.808930i | 0.951071 | + | 0.308971i | \(0.0999847\pi\) |
−0.866049 | + | 0.499958i | \(0.833349\pi\) | |||||||
\(198\) | −16.1798 | + | 17.9695i | −1.14985 | + | 1.27704i | ||||
\(199\) | 12.6762 | + | 14.0783i | 0.898591 | + | 0.997987i | 0.999995 | + | 0.00314153i | \(0.000999981\pi\) |
−0.101404 | + | 0.994845i | \(0.532333\pi\) | |||||||
\(200\) | −0.934931 | + | 8.89527i | −0.0661096 | + | 0.628991i | ||||
\(201\) | 8.00000 | − | 24.6215i | 0.564276 | − | 1.73666i | ||||
\(202\) | −1.50000 | + | 4.61653i | −0.105540 | + | 0.324818i | ||||
\(203\) | 0.0682023 | − | 0.648902i | 0.00478686 | − | 0.0455440i | ||||
\(204\) | −1.02234 | − | 1.13542i | −0.0715782 | − | 0.0794956i | ||||
\(205\) | 4.68391 | − | 5.20201i | 0.327139 | − | 0.363324i | ||||
\(206\) | −1.05471 | − | 10.0349i | −0.0734851 | − | 0.699164i | ||||
\(207\) | 41.7204 | + | 8.86795i | 2.89977 | + | 0.616365i | ||||
\(208\) | −14.3502 | + | 6.38910i | −0.995004 | + | 0.443005i | ||||
\(209\) | −3.61803 | − | 2.62866i | −0.250265 | − | 0.181828i | ||||
\(210\) | 1.12920 | + | 0.502754i | 0.0779225 | + | 0.0346933i | ||||
\(211\) | −11.5902 | − | 20.0748i | −0.797900 | − | 1.38200i | −0.920981 | − | 0.389607i | \(-0.872611\pi\) |
0.123081 | − | 0.992397i | \(-0.460723\pi\) | |||||||
\(212\) | −3.23607 | + | 5.60503i | −0.222254 | + | 0.384955i | ||||
\(213\) | 24.0344 | − | 17.4620i | 1.64681 | − | 1.19648i | ||||
\(214\) | −9.12244 | + | 1.93903i | −0.623597 | + | 0.132550i | ||||
\(215\) | −0.381966 | − | 1.17557i | −0.0260499 | − | 0.0801732i | ||||
\(216\) | −32.3607 | −2.20187 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −22.5623 | −1.52811 | ||||||||
\(219\) | −8.47214 | − | 26.0746i | −0.572494 | − | 1.76196i | ||||
\(220\) | 1.20906 | − | 0.256993i | 0.0815146 | − | 0.0173265i | ||||
\(221\) | 2.00000 | − | 1.45309i | 0.134535 | − | 0.0977451i | ||||
\(222\) | −5.23607 | + | 9.06914i | −0.351422 | + | 0.608681i | ||||
\(223\) | 2.00000 | + | 3.46410i | 0.133930 | + | 0.231973i | 0.925188 | − | 0.379509i | \(-0.123907\pi\) |
−0.791258 | + | 0.611482i | \(0.790574\pi\) | |||||||
\(224\) | −0.729351 | − | 0.324728i | −0.0487318 | − | 0.0216968i | ||||
\(225\) | 24.1803 | + | 17.5680i | 1.61202 | + | 1.17120i | ||||
\(226\) | 5.13233 | − | 2.28506i | 0.341397 | − | 0.152000i | ||||
\(227\) | 6.33070 | + | 1.34563i | 0.420184 | + | 0.0893128i | 0.413151 | − | 0.910662i | \(-0.364428\pi\) |
0.00703250 | + | 0.999975i | \(0.497761\pi\) | |||||||
\(228\) | 0.467465 | + | 4.44764i | 0.0309587 | + | 0.294552i | ||||
\(229\) | 8.97733 | − | 9.97033i | 0.593239 | − | 0.658858i | −0.369519 | − | 0.929223i | \(-0.620478\pi\) |
0.962758 | + | 0.270365i | \(0.0871443\pi\) | |||||||
\(230\) | −6.18014 | − | 6.86374i | −0.407506 | − | 0.452581i | ||||
\(231\) | 0.159705 | − | 1.51949i | 0.0105078 | − | 0.0999754i | ||||
\(232\) | 1.90983 | − | 5.87785i | 0.125386 | − | 0.385900i | ||||
\(233\) | 5.54508 | − | 17.0660i | 0.363271 | − | 1.11803i | −0.587786 | − | 0.809016i | \(-0.700000\pi\) |
0.951057 | − | 0.309016i | \(-0.0999996\pi\) | |||||||
\(234\) | −4.08964 | + | 38.9103i | −0.267348 | + | 2.54364i | ||||
\(235\) | 1.65418 | + | 1.83716i | 0.107907 | + | 0.119843i | ||||
\(236\) | 0.924716 | − | 1.02700i | 0.0601939 | − | 0.0668521i | ||||
\(237\) | −3.96043 | − | 37.6810i | −0.257258 | − | 2.44764i | ||||
\(238\) | 0.285420 | + | 0.0606678i | 0.0185010 | + | 0.00393251i | ||||
\(239\) | 10.6960 | − | 4.76216i | 0.691865 | − | 0.308038i | −0.0305150 | − | 0.999534i | \(-0.509715\pi\) |
0.722380 | + | 0.691496i | \(0.243048\pi\) | |||||||
\(240\) | 12.7082 | + | 9.23305i | 0.820311 | + | 0.595991i | ||||
\(241\) | −13.1191 | − | 5.84101i | −0.845078 | − | 0.376253i | −0.0619239 | − | 0.998081i | \(-0.519724\pi\) |
−0.783154 | + | 0.621828i | \(0.786390\pi\) | |||||||
\(242\) | 5.66312 | + | 9.80881i | 0.364039 | + | 0.630534i | ||||
\(243\) | −17.7984 | + | 30.8277i | −1.14177 | + | 1.97760i | ||||
\(244\) | 4.09017 | − | 2.97168i | 0.261846 | − | 0.190242i | ||||
\(245\) | 6.79252 | − | 1.44380i | 0.433958 | − | 0.0922407i | ||||
\(246\) | 11.3262 | + | 34.8586i | 0.722135 | + | 2.22250i | ||||
\(247\) | −7.23607 | −0.460420 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 48.3607 | 3.06473 | ||||||||
\(250\) | −4.50000 | − | 13.8496i | −0.284605 | − | 0.875924i | ||||
\(251\) | −1.77990 | + | 0.378329i | −0.112346 | + | 0.0238799i | −0.263742 | − | 0.964593i | \(-0.584957\pi\) |
0.151396 | + | 0.988473i | \(0.451623\pi\) | |||||||
\(252\) | −0.881966 | + | 0.640786i | −0.0555586 | + | 0.0403657i | ||||
\(253\) | −5.70820 | + | 9.88690i | −0.358872 | + | 0.621584i | ||||
\(254\) | 10.0902 | + | 17.4767i | 0.633114 | + | 1.09658i | ||||
\(255\) | −2.25841 | − | 1.00551i | −0.141427 | − | 0.0629674i | ||||
\(256\) | −10.9721 | − | 7.97172i | −0.685758 | − | 0.498233i | ||||
\(257\) | 1.77618 | − | 0.790807i | 0.110795 | − | 0.0493292i | −0.350591 | − | 0.936529i | \(-0.614019\pi\) |
0.461386 | + | 0.887200i | \(0.347352\pi\) | |||||||
\(258\) | 6.33070 | + | 1.34563i | 0.394132 | + | 0.0837754i | ||||
\(259\) | −0.0493516 | − | 0.469550i | −0.00306656 | − | 0.0291764i | ||||
\(260\) | 1.33826 | − | 1.48629i | 0.0829954 | − | 0.0921758i | ||||
\(261\) | −13.8192 | − | 15.3478i | −0.855387 | − | 0.950004i | ||||
\(262\) | −2.02957 | + | 19.3100i | −0.125387 | + | 1.19298i | ||||
\(263\) | 7.18034 | − | 22.0988i | 0.442759 | − | 1.36267i | −0.442164 | − | 0.896934i | \(-0.645789\pi\) |
0.884923 | − | 0.465737i | \(-0.154211\pi\) | |||||||
\(264\) | 4.47214 | − | 13.7638i | 0.275241 | − | 0.847105i | ||||
\(265\) | −1.09464 | + | 10.4148i | −0.0672430 | + | 0.639774i | ||||
\(266\) | −0.571506 | − | 0.634721i | −0.0350413 | − | 0.0389173i | ||||
\(267\) | −25.3524 | + | 28.1567i | −1.55154 | + | 1.72316i | ||||
\(268\) | −0.516817 | − | 4.91719i | −0.0315696 | − | 0.300365i | ||||
\(269\) | −10.8141 | − | 2.29862i | −0.659349 | − | 0.140149i | −0.133928 | − | 0.990991i | \(-0.542759\pi\) |
−0.525422 | + | 0.850842i | \(0.676092\pi\) | |||||||
\(270\) | 21.3920 | − | 9.52431i | 1.30187 | − | 0.579631i | ||||
\(271\) | −11.4721 | − | 8.33499i | −0.696883 | − | 0.506315i | 0.182033 | − | 0.983292i | \(-0.441732\pi\) |
−0.878915 | + | 0.476978i | \(0.841732\pi\) | |||||||
\(272\) | 3.38761 | + | 1.50826i | 0.205404 | + | 0.0914518i | ||||
\(273\) | −1.23607 | − | 2.14093i | −0.0748102 | − | 0.129575i | ||||
\(274\) | 5.09017 | − | 8.81643i | 0.307508 | − | 0.532620i | ||||
\(275\) | −6.47214 | + | 4.70228i | −0.390284 | + | 0.283558i | ||||
\(276\) | 11.1669 | − | 2.37360i | 0.672170 | − | 0.142874i | ||||
\(277\) | 3.90983 | + | 12.0332i | 0.234919 | + | 0.723006i | 0.997132 | + | 0.0756801i | \(0.0241128\pi\) |
−0.762213 | + | 0.647326i | \(0.775887\pi\) | |||||||
\(278\) | −21.7082 | −1.30197 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.527864 | −0.0315459 | ||||||||
\(281\) | 5.25329 | + | 16.1680i | 0.313385 | + | 0.964500i | 0.976414 | + | 0.215906i | \(0.0692705\pi\) |
−0.663029 | + | 0.748594i | \(0.730729\pi\) | |||||||
\(282\) | −12.6614 | + | 2.69127i | −0.753976 | + | 0.160263i | ||||
\(283\) | 11.2361 | − | 8.16348i | 0.667915 | − | 0.485269i | −0.201412 | − | 0.979507i | \(-0.564553\pi\) |
0.869327 | + | 0.494238i | \(0.164553\pi\) | |||||||
\(284\) | 2.83688 | − | 4.91362i | 0.168338 | − | 0.291570i | ||||
\(285\) | 3.61803 | + | 6.26662i | 0.214314 | + | 0.371202i | ||||
\(286\) | −9.56677 | − | 4.25940i | −0.565695 | − | 0.251864i | ||||
\(287\) | −1.33688 | − | 0.971301i | −0.0789136 | − | 0.0573341i | ||||
\(288\) | −23.0858 | + | 10.2784i | −1.36034 | + | 0.605663i | ||||
\(289\) | 16.0577 | + | 3.41316i | 0.944569 | + | 0.200774i | ||||
\(290\) | 0.467465 | + | 4.44764i | 0.0274505 | + | 0.261174i | ||||
\(291\) | −34.5250 | + | 38.3439i | −2.02389 | + | 2.24776i | ||||
\(292\) | −3.50361 | − | 3.89116i | −0.205033 | − | 0.227713i | ||||
\(293\) | 0.0493516 | − | 0.469550i | 0.00288315 | − | 0.0274314i | −0.992986 | − | 0.118234i | \(-0.962277\pi\) |
0.995869 | + | 0.0908028i | \(0.0289433\pi\) | |||||||
\(294\) | −11.2361 | + | 34.5811i | −0.655301 | + | 2.01681i | ||||
\(295\) | 0.690983 | − | 2.12663i | 0.0402306 | − | 0.123817i | ||||
\(296\) | 0.467465 | − | 4.44764i | 0.0271709 | − | 0.258514i | ||||
\(297\) | −19.3675 | − | 21.5098i | −1.12382 | − | 1.24812i | ||||
\(298\) | 10.8268 | − | 12.0243i | 0.627177 | − | 0.696551i | ||||
\(299\) | 1.93086 | + | 18.3709i | 0.111665 | + | 1.06242i | ||||
\(300\) | 7.82518 | + | 1.66329i | 0.451787 | + | 0.0960303i | ||||
\(301\) | −0.266569 | + | 0.118684i | −0.0153648 | + | 0.00684084i | ||||
\(302\) | −18.5623 | − | 13.4863i | −1.06814 | − | 0.776050i | ||||
\(303\) | −8.86889 | − | 3.94868i | −0.509504 | − | 0.226846i | ||||
\(304\) | −5.42705 | − | 9.39993i | −0.311263 | − | 0.539123i | ||||
\(305\) | 4.09017 | − | 7.08438i | 0.234202 | − | 0.405651i | ||||
\(306\) | 7.47214 | − | 5.42882i | 0.427154 | − | 0.310345i | ||||
\(307\) | 28.0809 | − | 5.96877i | 1.60266 | − | 0.340656i | 0.682100 | − | 0.731259i | \(-0.261067\pi\) |
0.920559 | + | 0.390603i | \(0.127733\pi\) | |||||||
\(308\) | −0.0901699 | − | 0.277515i | −0.00513791 | − | 0.0158129i | ||||
\(309\) | 20.1803 | 1.14802 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −29.1803 | −1.65467 | −0.827333 | − | 0.561712i | \(-0.810143\pi\) | ||||
−0.827333 | + | 0.561712i | \(0.810143\pi\) | |||||||
\(312\) | −7.23607 | − | 22.2703i | −0.409662 | − | 1.26081i | ||||
\(313\) | 16.3976 | − | 3.48542i | 0.926847 | − | 0.197007i | 0.280327 | − | 0.959905i | \(-0.409557\pi\) |
0.646520 | + | 0.762897i | \(0.276224\pi\) | |||||||
\(314\) | −27.3435 | + | 19.8662i | −1.54308 | + | 1.12111i | ||||
\(315\) | −0.881966 | + | 1.52761i | −0.0496932 | + | 0.0860711i | ||||
\(316\) | −3.61803 | − | 6.26662i | −0.203530 | − | 0.352525i | ||||
\(317\) | 3.70509 | + | 1.64961i | 0.208099 | + | 0.0926515i | 0.508139 | − | 0.861275i | \(-0.330334\pi\) |
−0.300041 | + | 0.953926i | \(0.597000\pi\) | |||||||
\(318\) | −44.3607 | − | 32.2299i | −2.48762 | − | 1.80736i | ||||
\(319\) | 5.04996 | − | 2.24838i | 0.282743 | − | 0.125885i | ||||
\(320\) | −4.14350 | − | 0.880728i | −0.231629 | − | 0.0492342i | ||||
\(321\) | −1.94971 | − | 18.5503i | −0.108822 | − | 1.03538i | ||||
\(322\) | −1.45893 | + | 1.62031i | −0.0813031 | + | 0.0902963i | ||||
\(323\) | 1.14301 | + | 1.26944i | 0.0635989 | + | 0.0706337i | ||||
\(324\) | −1.57735 | + | 15.0075i | −0.0876307 | + | 0.833750i | ||||
\(325\) | −4.00000 | + | 12.3107i | −0.221880 | + | 0.682877i | ||||
\(326\) | 5.35410 | − | 16.4782i | 0.296536 | − | 0.912645i | ||||
\(327\) | 4.71681 | − | 44.8774i | 0.260840 | − | 2.48173i | ||||
\(328\) | −10.4736 | − | 11.6321i | −0.578305 | − | 0.642273i | ||||
\(329\) | 0.390499 | − | 0.433693i | 0.0215289 | − | 0.0239103i | ||||
\(330\) | 1.09464 | + | 10.4148i | 0.0602577 | + | 0.573314i | ||||
\(331\) | 1.95630 | + | 0.415823i | 0.107528 | + | 0.0228557i | 0.261361 | − | 0.965241i | \(-0.415829\pi\) |
−0.153834 | + | 0.988097i | \(0.549162\pi\) | |||||||
\(332\) | 8.43757 | − | 3.75665i | 0.463072 | − | 0.206173i | ||||
\(333\) | −12.0902 | − | 8.78402i | −0.662537 | − | 0.481361i | ||||
\(334\) | 9.56677 | + | 4.25940i | 0.523470 | + | 0.233064i | ||||
\(335\) | −4.00000 | − | 6.92820i | −0.218543 | − | 0.378528i | ||||
\(336\) | 1.85410 | − | 3.21140i | 0.101150 | − | 0.175196i | ||||
\(337\) | −11.9443 | + | 8.67802i | −0.650646 | + | 0.472722i | −0.863491 | − | 0.504364i | \(-0.831727\pi\) |
0.212845 | + | 0.977086i | \(0.431727\pi\) | |||||||
\(338\) | 4.00079 | − | 0.850394i | 0.217614 | − | 0.0462553i | ||||
\(339\) | 3.47214 | + | 10.6861i | 0.188581 | + | 0.580391i | ||||
\(340\) | −0.472136 | −0.0256052 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −27.0344 | −1.46186 | ||||||||
\(343\) | −1.01722 | − | 3.13068i | −0.0549248 | − | 0.169041i | ||||
\(344\) | −2.70353 | + | 0.574654i | −0.145765 | + | 0.0309833i | ||||
\(345\) | 14.9443 | − | 10.8576i | 0.804573 | − | 0.584556i | ||||
\(346\) | −2.38197 | + | 4.12569i | −0.128055 | + | 0.221798i | ||||
\(347\) | 12.0902 | + | 20.9408i | 0.649034 | + | 1.12416i | 0.983354 | + | 0.181701i | \(0.0581602\pi\) |
−0.334320 | + | 0.942460i | \(0.608506\pi\) | |||||||
\(348\) | −5.04996 | − | 2.24838i | −0.270706 | − | 0.120526i | ||||
\(349\) | 6.38197 | + | 4.63677i | 0.341619 | + | 0.248201i | 0.745345 | − | 0.666679i | \(-0.232285\pi\) |
−0.403726 | + | 0.914880i | \(0.632285\pi\) | |||||||
\(350\) | −1.39577 | + | 0.621438i | −0.0746072 | + | 0.0332173i | ||||
\(351\) | −45.8094 | − | 9.73709i | −2.44513 | − | 0.519727i | ||||
\(352\) | −0.707023 | − | 6.72688i | −0.0376845 | − | 0.358544i | ||||
\(353\) | −4.96255 | + | 5.51147i | −0.264130 | + | 0.293346i | −0.860592 | − | 0.509296i | \(-0.829906\pi\) |
0.596462 | + | 0.802641i | \(0.296573\pi\) | |||||||
\(354\) | 7.83432 | + | 8.70089i | 0.416389 | + | 0.462447i | ||||
\(355\) | 0.959607 | − | 9.13005i | 0.0509306 | − | 0.484573i | ||||
\(356\) | −2.23607 | + | 6.88191i | −0.118511 | + | 0.364740i | ||||
\(357\) | −0.180340 | + | 0.555029i | −0.00954460 | + | 0.0293753i | ||||
\(358\) | 0.288910 | − | 2.74879i | 0.0152693 | − | 0.145278i | ||||
\(359\) | 14.8788 | + | 16.5246i | 0.785275 | + | 0.872136i | 0.994392 | − | 0.105755i | \(-0.0337258\pi\) |
−0.209117 | + | 0.977891i | \(0.567059\pi\) | |||||||
\(360\) | −11.1800 | + | 12.4166i | −0.589236 | + | 0.654413i | ||||
\(361\) | 1.46340 | + | 13.9233i | 0.0770210 | + | 0.732806i | ||||
\(362\) | −6.61612 | − | 1.40630i | −0.347736 | − | 0.0739135i | ||||
\(363\) | −20.6941 | + | 9.21359i | −1.08616 | + | 0.483588i | ||||
\(364\) | −0.381966 | − | 0.277515i | −0.0200205 | − | 0.0145457i | ||||
\(365\) | −7.73968 | − | 3.44593i | −0.405113 | − | 0.180368i | ||||
\(366\) | 21.4164 | + | 37.0943i | 1.11945 | + | 1.93895i | ||||
\(367\) | 9.00000 | − | 15.5885i | 0.469796 | − | 0.813711i | −0.529607 | − | 0.848243i | \(-0.677661\pi\) |
0.999404 | + | 0.0345320i | \(0.0109941\pi\) | |||||||
\(368\) | −22.4164 | + | 16.2865i | −1.16854 | + | 0.848991i | ||||
\(369\) | −51.1620 | + | 10.8748i | −2.66339 | + | 0.566120i | ||||
\(370\) | 1.00000 | + | 3.07768i | 0.0519875 | + | 0.160001i | ||||
\(371\) | 2.47214 | 0.128347 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 19.0000 | 0.983783 | 0.491891 | − | 0.870657i | \(-0.336306\pi\) | ||||
0.491891 | + | 0.870657i | \(0.336306\pi\) | |||||||
\(374\) | 0.763932 | + | 2.35114i | 0.0395020 | + | 0.121575i | ||||
\(375\) | 28.4882 | − | 6.05535i | 1.47112 | − | 0.312697i | ||||
\(376\) | 4.47214 | − | 3.24920i | 0.230633 | − | 0.167565i | ||||
\(377\) | 4.47214 | − | 7.74597i | 0.230327 | − | 0.398938i | ||||
\(378\) | −2.76393 | − | 4.78727i | −0.142161 | − | 0.246231i | ||||
\(379\) | −1.92891 | − | 0.858807i | −0.0990815 | − | 0.0441139i | 0.356597 | − | 0.934258i | \(-0.383937\pi\) |
−0.455679 | + | 0.890144i | \(0.650603\pi\) | |||||||
\(380\) | 1.11803 | + | 0.812299i | 0.0573539 | + | 0.0416701i | ||||
\(381\) | −36.8713 | + | 16.4162i | −1.88897 | + | 0.841026i | ||||
\(382\) | 30.3563 | + | 6.45242i | 1.55316 | + | 0.330135i | ||||
\(383\) | −2.49703 | − | 23.7577i | −0.127592 | − | 1.21396i | −0.851609 | − | 0.524178i | \(-0.824373\pi\) |
0.724016 | − | 0.689783i | \(-0.242294\pi\) | |||||||
\(384\) | 29.4878 | − | 32.7496i | 1.50479 | − | 1.67124i | ||||
\(385\) | −0.315921 | − | 0.350865i | −0.0161008 | − | 0.0178818i | ||||
\(386\) | −0.587244 | + | 5.58726i | −0.0298900 | + | 0.284384i | ||||
\(387\) | −2.85410 | + | 8.78402i | −0.145082 | + | 0.446517i | ||||
\(388\) | −3.04508 | + | 9.37181i | −0.154591 | + | 0.475781i | ||||
\(389\) | −1.86986 | + | 17.7905i | −0.0948058 | + | 0.902017i | 0.838975 | + | 0.544170i | \(0.183155\pi\) |
−0.933781 | + | 0.357846i | \(0.883511\pi\) | |||||||
\(390\) | 11.3379 | + | 12.5920i | 0.574118 | + | 0.637623i | ||||
\(391\) | 2.91786 | − | 3.24062i | 0.147563 | − | 0.163885i | ||||
\(392\) | −1.62310 | − | 15.4428i | −0.0819791 | − | 0.779979i | ||||
\(393\) | −37.9842 | − | 8.07380i | −1.91605 | − | 0.407269i | ||||
\(394\) | −16.8751 | + | 7.51329i | −0.850157 | + | 0.378514i | ||||
\(395\) | −9.47214 | − | 6.88191i | −0.476595 | − | 0.346266i | ||||
\(396\) | −8.43757 | − | 3.75665i | −0.424004 | − | 0.188779i | ||||
\(397\) | 3.50000 | + | 6.06218i | 0.175660 | + | 0.304252i | 0.940389 | − | 0.340099i | \(-0.110461\pi\) |
−0.764730 | + | 0.644351i | \(0.777127\pi\) | |||||||
\(398\) | −15.3262 | + | 26.5458i | −0.768235 | + | 1.33062i | ||||
\(399\) | 1.38197 | − | 1.00406i | 0.0691848 | − | 0.0502657i | ||||
\(400\) | −18.9921 | + | 4.03690i | −0.949606 | + | 0.201845i | ||||
\(401\) | −11.7984 | − | 36.3117i | −0.589183 | − | 1.81332i | −0.581781 | − | 0.813345i | \(-0.697644\pi\) |
−0.00740130 | − | 0.999973i | \(-0.502356\pi\) | |||||||
\(402\) | 41.8885 | 2.08921 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −1.85410 | −0.0922450 | ||||||||
\(405\) | 7.54508 | + | 23.2214i | 0.374918 | + | 1.15388i | ||||
\(406\) | 1.03266 | − | 0.219498i | 0.0512500 | − | 0.0108935i | ||||
\(407\) | 3.23607 | − | 2.35114i | 0.160406 | − | 0.116542i | ||||
\(408\) | −2.76393 | + | 4.78727i | −0.136835 | + | 0.237005i | ||||
\(409\) | −1.90983 | − | 3.30792i | −0.0944350 | − | 0.163566i | 0.814938 | − | 0.579549i | \(-0.196771\pi\) |
−0.909373 | + | 0.415982i | \(0.863438\pi\) | |||||||
\(410\) | 10.3470 | + | 4.60680i | 0.511004 | + | 0.227513i | ||||
\(411\) | 16.4721 | + | 11.9677i | 0.812511 | + | 0.590323i | ||||
\(412\) | 3.52090 | − | 1.56760i | 0.173462 | − | 0.0772303i | ||||
\(413\) | −0.516329 | − | 0.109749i | −0.0254069 | − | 0.00540040i | ||||
\(414\) | 7.21384 | + | 68.6351i | 0.354541 | + | 3.37323i | ||||
\(415\) | 9.99967 | − | 11.1058i | 0.490864 | − | 0.545160i | ||||
\(416\) | −7.32315 | − | 8.13318i | −0.359047 | − | 0.398762i | ||||
\(417\) | 4.53825 | − | 43.1786i | 0.222239 | − | 2.11446i | ||||
\(418\) | 2.23607 | − | 6.88191i | 0.109370 | − | 0.336605i | ||||
\(419\) | −3.12868 | + | 9.62908i | −0.152846 | + | 0.470411i | −0.997936 | − | 0.0642122i | \(-0.979547\pi\) |
0.845090 | + | 0.534623i | \(0.179547\pi\) | |||||||
\(420\) | −0.0493516 | + | 0.469550i | −0.00240811 | + | 0.0229117i | ||||
\(421\) | 19.6461 | + | 21.8192i | 0.957494 | + | 1.06340i | 0.997936 | + | 0.0642227i | \(0.0204568\pi\) |
−0.0404418 | + | 0.999182i | \(0.512877\pi\) | |||||||
\(422\) | 25.0968 | − | 27.8728i | 1.22169 | − | 1.35683i | ||||
\(423\) | −1.93086 | − | 18.3709i | −0.0938818 | − | 0.893226i | ||||
\(424\) | 22.9047 | + | 4.86854i | 1.11235 | + | 0.236437i | ||||
\(425\) | 2.79155 | − | 1.24288i | 0.135410 | − | 0.0602884i | ||||
\(426\) | 38.8885 | + | 28.2542i | 1.88416 | + | 1.36892i | ||||
\(427\) | −1.76416 | − | 0.785456i | −0.0853738 | − | 0.0380109i | ||||
\(428\) | −1.78115 | − | 3.08505i | −0.0860953 | − | 0.149121i | ||||
\(429\) | 10.4721 | − | 18.1383i | 0.505599 | − | 0.875724i | ||||
\(430\) | 1.61803 | − | 1.17557i | 0.0780285 | − | 0.0566910i | ||||
\(431\) | −11.7378 | + | 2.49494i | −0.565389 | + | 0.120177i | −0.481734 | − | 0.876318i | \(-0.659993\pi\) |
−0.0836550 | + | 0.996495i | \(0.526659\pi\) | |||||||
\(432\) | −21.7082 | − | 66.8110i | −1.04444 | − | 3.21444i | ||||
\(433\) | −10.1803 | −0.489236 | −0.244618 | − | 0.969620i | \(-0.578663\pi\) | ||||
−0.244618 | + | 0.969620i | \(0.578663\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −8.94427 | −0.428845 | ||||||||
\(436\) | −2.66312 | − | 8.19624i | −0.127540 | − | 0.392529i | ||||
\(437\) | −12.4850 | + | 2.65377i | −0.597239 | + | 0.126947i | ||||
\(438\) | 35.8885 | − | 26.0746i | 1.71482 | − | 1.24589i | ||||
\(439\) | 0.590170 | − | 1.02220i | 0.0281673 | − | 0.0487872i | −0.851598 | − | 0.524195i | \(-0.824366\pi\) |
0.879765 | + | 0.475408i | \(0.157700\pi\) | |||||||
\(440\) | −2.23607 | − | 3.87298i | −0.106600 | − | 0.184637i | ||||
\(441\) | −47.4025 | − | 21.1050i | −2.25726 | − | 1.00500i | ||||
\(442\) | 3.23607 | + | 2.35114i | 0.153924 | + | 0.111832i | ||||
\(443\) | 28.0533 | − | 12.4902i | 1.33285 | − | 0.593425i | 0.388225 | − | 0.921565i | \(-0.373088\pi\) |
0.944629 | + | 0.328140i | \(0.106422\pi\) | |||||||
\(444\) | −3.91259 | − | 0.831647i | −0.185683 | − | 0.0394682i | ||||
\(445\) | 1.22384 | + | 11.6441i | 0.0580156 | + | 0.551982i | ||||
\(446\) | −4.33070 | + | 4.80973i | −0.205065 | + | 0.227748i | ||||
\(447\) | 21.6535 | + | 24.0487i | 1.02418 | + | 1.13746i | ||||
\(448\) | −0.104528 | + | 0.994522i | −0.00493851 | + | 0.0469867i | ||||
\(449\) | 9.67376 | − | 29.7728i | 0.456533 | − | 1.40506i | −0.412793 | − | 0.910825i | \(-0.635447\pi\) |
0.869326 | − | 0.494239i | \(-0.164553\pi\) | |||||||
\(450\) | −14.9443 | + | 45.9937i | −0.704480 | + | 2.16817i | ||||
\(451\) | 1.46340 | − | 13.9233i | 0.0689087 | − | 0.655623i | ||||
\(452\) | 1.43589 | + | 1.59471i | 0.0675384 | + | 0.0750090i | ||||
\(453\) | 30.7054 | − | 34.1018i | 1.44267 | − | 1.60224i | ||||
\(454\) | 1.09464 | + | 10.4148i | 0.0513738 | + | 0.488789i | ||||
\(455\) | −0.747238 | − | 0.158830i | −0.0350311 | − | 0.00744608i | ||||
\(456\) | 14.7815 | − | 6.58114i | 0.692206 | − | 0.308190i | ||||
\(457\) | −2.47214 | − | 1.79611i | −0.115642 | − | 0.0840186i | 0.528461 | − | 0.848957i | \(-0.322769\pi\) |
−0.644103 | + | 0.764939i | \(0.722769\pi\) | |||||||
\(458\) | 19.8314 | + | 8.82952i | 0.926662 | + | 0.412576i | ||||
\(459\) | 5.52786 | + | 9.57454i | 0.258019 | + | 0.446901i | ||||
\(460\) | 1.76393 | − | 3.05522i | 0.0822438 | − | 0.142450i | ||||
\(461\) | 27.7984 | − | 20.1967i | 1.29470 | − | 0.940654i | 0.294810 | − | 0.955556i | \(-0.404744\pi\) |
0.999889 | + | 0.0149016i | \(0.00474351\pi\) | |||||||
\(462\) | 2.41811 | − | 0.513986i | 0.112501 | − | 0.0239128i | ||||
\(463\) | 0.798374 | + | 2.45714i | 0.0371036 | + | 0.114193i | 0.967893 | − | 0.251363i | \(-0.0808788\pi\) |
−0.930789 | + | 0.365556i | \(0.880879\pi\) | |||||||
\(464\) | 13.4164 | 0.622841 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 29.0344 | 1.34499 | ||||||||
\(467\) | 1.45492 | + | 4.47777i | 0.0673254 | + | 0.207206i | 0.979059 | − | 0.203575i | \(-0.0652560\pi\) |
−0.911734 | + | 0.410781i | \(0.865256\pi\) | |||||||
\(468\) | −14.6177 | + | 3.10709i | −0.675704 | + | 0.143625i | ||||
\(469\) | −1.52786 | + | 1.11006i | −0.0705502 | + | 0.0512577i | ||||
\(470\) | −2.00000 | + | 3.46410i | −0.0922531 | + | 0.159787i | ||||
\(471\) | −33.7984 | − | 58.5405i | −1.55735 | − | 2.69740i | ||||
\(472\) | −4.56773 | − | 2.03368i | −0.210247 | − | 0.0936079i | ||||
\(473\) | −2.00000 | − | 1.45309i | −0.0919601 | − | 0.0668129i | ||||
\(474\) | 56.0049 | − | 24.9350i | 2.57239 | − | 1.14530i | ||||
\(475\) | −8.74882 | − | 1.85962i | −0.401423 | − | 0.0853252i | ||||
\(476\) | 0.0116503 | + | 0.110846i | 0.000533993 | + | 0.00508060i | ||||
\(477\) | 52.3590 | − | 58.1505i | 2.39735 | − | 2.66253i | ||||
\(478\) | 12.6762 | + | 14.0783i | 0.579796 | + | 0.643928i | ||||
\(479\) | −2.43466 | + | 23.1642i | −0.111242 | + | 1.05840i | 0.786413 | + | 0.617701i | \(0.211936\pi\) |
−0.897655 | + | 0.440698i | \(0.854731\pi\) | |||||||
\(480\) | −3.38197 | + | 10.4086i | −0.154365 | + | 0.475086i | ||||
\(481\) | 2.00000 | − | 6.15537i | 0.0911922 | − | 0.280661i | ||||
\(482\) | 2.42883 | − | 23.1088i | 0.110630 | − | 1.05258i | ||||
\(483\) | −2.91786 | − | 3.24062i | −0.132767 | − | 0.147453i | ||||
\(484\) | −2.89482 | + | 3.21502i | −0.131583 | + | 0.146137i | ||||
\(485\) | 1.66663 | + | 15.8569i | 0.0756778 | + | 0.720026i | ||||
\(486\) | −56.3381 | − | 11.9750i | −2.55555 | − | 0.543199i | ||||
\(487\) | 17.5730 | − | 7.82401i | 0.796310 | − | 0.354540i | 0.0320810 | − | 0.999485i | \(-0.489787\pi\) |
0.764229 | + | 0.644945i | \(0.223120\pi\) | |||||||
\(488\) | −14.7984 | − | 10.7516i | −0.669891 | − | 0.486704i | ||||
\(489\) | 31.6566 | + | 14.0944i | 1.43156 | + | 0.637372i | ||||
\(490\) | 5.61803 | + | 9.73072i | 0.253797 | + | 0.439589i | ||||
\(491\) | 2.18034 | − | 3.77646i | 0.0983974 | − | 0.170429i | −0.812624 | − | 0.582788i | \(-0.801962\pi\) |
0.911021 | + | 0.412359i | \(0.135295\pi\) | |||||||
\(492\) | −11.3262 | + | 8.22899i | −0.510626 | + | 0.370992i | ||||
\(493\) | −2.06532 | + | 0.438996i | −0.0930171 | + | 0.0197714i | ||||
\(494\) | −3.61803 | − | 11.1352i | −0.162783 | − | 0.500995i | ||||
\(495\) | −14.9443 | −0.671695 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.16718 | −0.0972115 | ||||||||
\(498\) | 24.1803 | + | 74.4194i | 1.08355 | + | 3.33481i | ||||
\(499\) | −6.43972 | + | 1.36881i | −0.288282 | + | 0.0612762i | −0.349783 | − | 0.936831i | \(-0.613745\pi\) |
0.0615010 | + | 0.998107i | \(0.480411\pi\) | |||||||
\(500\) | 4.50000 | − | 3.26944i | 0.201246 | − | 0.146214i | ||||
\(501\) | −10.4721 | + | 18.1383i | −0.467861 | + | 0.810358i | ||||
\(502\) | −1.47214 | − | 2.54981i | −0.0657046 | − | 0.113804i | ||||
\(503\) | 27.0889 | + | 12.0607i | 1.20783 | + | 0.537762i | 0.909101 | − | 0.416575i | \(-0.136770\pi\) |
0.298732 | + | 0.954337i | \(0.403436\pi\) | |||||||
\(504\) | 3.19098 | + | 2.31838i | 0.142138 | + | 0.103269i | ||||
\(505\) | −2.74064 | + | 1.22021i | −0.121957 | + | 0.0542986i | ||||
\(506\) | −18.0685 | − | 3.84057i | −0.803242 | − | 0.170734i | ||||
\(507\) | 0.855078 | + | 8.13553i | 0.0379754 | + | 0.361311i | ||||
\(508\) | −5.15780 | + | 5.72831i | −0.228840 | + | 0.254153i | ||||
\(509\) | −19.8041 | − | 21.9947i | −0.877801 | − | 0.974897i | 0.122044 | − | 0.992525i | \(-0.461055\pi\) |
−0.999845 | + | 0.0176281i | \(0.994389\pi\) | |||||||
\(510\) | 0.418114 | − | 3.97809i | 0.0185144 | − | 0.176153i | ||||
\(511\) | −0.618034 | + | 1.90211i | −0.0273402 | + | 0.0841445i | ||||
\(512\) | −1.63525 | + | 5.03280i | −0.0722687 | + | 0.222420i | ||||
\(513\) | 3.38261 | − | 32.1834i | 0.149346 | − | 1.42093i | ||||
\(514\) | 2.10502 | + | 2.33786i | 0.0928483 | + | 0.103118i | ||||
\(515\) | 4.17274 | − | 4.63430i | 0.183873 | − | 0.204212i | ||||
\(516\) | 0.258409 | + | 2.45859i | 0.0113758 | + | 0.108234i | ||||
\(517\) | 4.83623 | + | 1.02797i | 0.212697 | + | 0.0452102i | ||||
\(518\) | 0.697887 | − | 0.310719i | 0.0306634 | − | 0.0136522i | ||||
\(519\) | −7.70820 | − | 5.60034i | −0.338353 | − | 0.245828i | ||||
\(520\) | −6.61048 | − | 2.94317i | −0.289889 | − | 0.129067i | ||||
\(521\) | −1.00000 | − | 1.73205i | −0.0438108 | − | 0.0758825i | 0.843288 | − | 0.537461i | \(-0.180617\pi\) |
−0.887099 | + | 0.461579i | \(0.847283\pi\) | |||||||
\(522\) | 16.7082 | − | 28.9395i | 0.731298 | − | 1.26665i | ||||
\(523\) | −14.3262 | + | 10.4086i | −0.626443 | + | 0.455137i | −0.855166 | − | 0.518354i | \(-0.826545\pi\) |
0.228723 | + | 0.973491i | \(0.426545\pi\) | |||||||
\(524\) | −7.25434 | + | 1.54196i | −0.316907 | + | 0.0673607i | ||||
\(525\) | −0.944272 | − | 2.90617i | −0.0412114 | − | 0.126836i | ||||
\(526\) | 37.5967 | 1.63930 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 31.4164 | 1.36722 | ||||||||
\(529\) | 2.96149 | + | 9.11454i | 0.128761 | + | 0.396284i | ||||
\(530\) | −16.5740 | + | 3.52291i | −0.719929 | + | 0.153026i | ||||
\(531\) | −13.5172 | + | 9.82084i | −0.586597 | + | 0.426188i | ||||
\(532\) | 0.163119 | − | 0.282530i | 0.00707210 | − | 0.0122492i | ||||
\(533\) | −11.3262 | − | 19.6176i | −0.490594 | − | 0.849733i | ||||
\(534\) | −56.0049 | − | 24.9350i | −2.42357 | − | 1.07904i | ||||
\(535\) | −4.66312 | − | 3.38795i | −0.201604 | − | 0.146474i | ||||
\(536\) | −16.3420 | + | 7.27593i | −0.705867 | + | 0.314272i | ||||
\(537\) | 5.40707 | + | 1.14931i | 0.233332 | + | 0.0495963i | ||||
\(538\) | −1.86986 | − | 17.7905i | −0.0806155 | − | 0.767005i | ||||
\(539\) | 9.29325 | − | 10.3212i | 0.400289 | − | 0.444566i | ||||
\(540\) | 5.98489 | + | 6.64689i | 0.257548 | + | 0.286037i | ||||
\(541\) | 2.65091 | − | 25.2218i | 0.113972 | − | 1.08437i | −0.776747 | − | 0.629813i | \(-0.783132\pi\) |
0.890719 | − | 0.454555i | \(-0.150202\pi\) | |||||||
\(542\) | 7.09017 | − | 21.8213i | 0.304549 | − | 0.937305i | ||||
\(543\) | 4.18034 | − | 12.8658i | 0.179396 | − | 0.552123i | ||||
\(544\) | −0.270059 | + | 2.56944i | −0.0115787 | + | 0.110164i | ||||
\(545\) | −9.33054 | − | 10.3626i | −0.399676 | − | 0.443886i | ||||
\(546\) | 2.67652 | − | 2.97258i | 0.114545 | − | 0.127215i | ||||
\(547\) | 1.26737 | + | 12.0582i | 0.0541887 | + | 0.515571i | 0.987626 | + | 0.156830i | \(0.0501274\pi\) |
−0.933437 | + | 0.358741i | \(0.883206\pi\) | |||||||
\(548\) | 3.80357 | + | 0.808474i | 0.162480 | + | 0.0345363i | ||||
\(549\) | −55.8401 | + | 24.8616i | −2.38320 | + | 1.06107i | ||||
\(550\) | −10.4721 | − | 7.60845i | −0.446533 | − | 0.324425i | ||||
\(551\) | 5.64602 | + | 2.51377i | 0.240529 | + | 0.107090i | ||||
\(552\) | −20.6525 | − | 35.7711i | −0.879028 | − | 1.52252i | ||||
\(553\) | −1.38197 | + | 2.39364i | −0.0587672 | + | 0.101788i | ||||
\(554\) | −16.5623 | + | 12.0332i | −0.703665 | + | 0.511243i | ||||
\(555\) | −6.33070 | + | 1.34563i | −0.268723 | + | 0.0571189i | ||||
\(556\) | −2.56231 | − | 7.88597i | −0.108666 | − | 0.334439i | ||||
\(557\) | 12.0000 | 0.508456 | 0.254228 | − | 0.967144i | \(-0.418179\pi\) | ||||
0.254228 | + | 0.967144i | \(0.418179\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.00000 | −0.169182 | ||||||||
\(560\) | −0.354102 | − | 1.08981i | −0.0149635 | − | 0.0460530i | ||||
\(561\) | −4.83623 | + | 1.02797i | −0.204186 | + | 0.0434010i | ||||
\(562\) | −22.2533 | + | 16.1680i | −0.938698 | + | 0.682004i | ||||
\(563\) | −13.7705 | + | 23.8512i | −0.580358 | + | 1.00521i | 0.415079 | + | 0.909785i | \(0.363754\pi\) |
−0.995437 | + | 0.0954238i | \(0.969579\pi\) | |||||||
\(564\) | −2.47214 | − | 4.28187i | −0.104096 | − | 0.180299i | ||||
\(565\) | 3.17195 | + | 1.41224i | 0.133445 | + | 0.0594136i | ||||
\(566\) | 18.1803 | + | 13.2088i | 0.764177 | + | 0.555207i | ||||
\(567\) | 5.26561 | − | 2.34440i | 0.221135 | − | 0.0984556i | ||||
\(568\) | −20.0793 | − | 4.26798i | −0.842508 | − | 0.179081i | ||||
\(569\) | 0.577819 | + | 5.49758i | 0.0242234 | + | 0.230471i | 0.999935 | + | 0.0114109i | \(0.00363228\pi\) |
−0.975711 | + | 0.219060i | \(0.929701\pi\) | |||||||
\(570\) | −7.83432 | + | 8.70089i | −0.328143 | + | 0.364440i | ||||
\(571\) | −18.8563 | − | 20.9421i | −0.789113 | − | 0.876399i | 0.205648 | − | 0.978626i | \(-0.434070\pi\) |
−0.994761 | + | 0.102227i | \(0.967403\pi\) | |||||||
\(572\) | 0.418114 | − | 3.97809i | 0.0174822 | − | 0.166332i | ||||
\(573\) | −19.1803 | + | 59.0310i | −0.801270 | + | 2.46606i | ||||
\(574\) | 0.826238 | − | 2.54290i | 0.0344865 | − | 0.106139i | ||||
\(575\) | −2.38668 | + | 22.7077i | −0.0995314 | + | 0.946978i | ||||
\(576\) | 21.1796 | + | 23.5224i | 0.882485 | + | 0.980099i | ||||
\(577\) | −19.2929 | + | 21.4270i | −0.803175 | + | 0.892016i | −0.996012 | − | 0.0892147i | \(-0.971564\pi\) |
0.192838 | + | 0.981231i | \(0.438231\pi\) | |||||||
\(578\) | 2.77652 | + | 26.4168i | 0.115488 | + | 1.09879i | ||||
\(579\) | −10.9905 | − | 2.33611i | −0.456751 | − | 0.0970854i | ||||
\(580\) | −1.56052 | + | 0.694789i | −0.0647971 | + | 0.0288495i | ||||
\(581\) | −2.85410 | − | 2.07363i | −0.118408 | − | 0.0860285i | ||||
\(582\) | −76.2676 | − | 33.9565i | −3.16139 | − | 1.40754i | ||||
\(583\) | 10.4721 | + | 18.1383i | 0.433712 | + | 0.751210i | ||||
\(584\) | −9.47214 | + | 16.4062i | −0.391960 | + | 0.678894i | ||||
\(585\) | −19.5623 | + | 14.2128i | −0.808802 | + | 0.587629i | ||||
\(586\) | 0.747238 | − | 0.158830i | 0.0308681 | − | 0.00656122i | ||||
\(587\) | 2.00000 | + | 6.15537i | 0.0825488 | + | 0.254059i | 0.983809 | − | 0.179219i | \(-0.0573569\pi\) |
−0.901260 | + | 0.433278i | \(0.857357\pi\) | |||||||
\(588\) | −13.8885 | −0.572754 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 3.61803 | 0.148952 | ||||||||
\(591\) | −11.4164 | − | 35.1361i | −0.469608 | − | 1.44531i | ||||
\(592\) | 9.49606 | − | 2.01845i | 0.390286 | − | 0.0829577i | ||||
\(593\) | 5.28115 | − | 3.83698i | 0.216871 | − | 0.157566i | −0.474046 | − | 0.880500i | \(-0.657207\pi\) |
0.690917 | + | 0.722934i | \(0.257207\pi\) | |||||||
\(594\) | 23.4164 | − | 40.5584i | 0.960787 | − | 1.66413i | ||||
\(595\) | 0.0901699 | + | 0.156179i | 0.00369661 | + | 0.00640271i | ||||
\(596\) | 5.64602 | + | 2.51377i | 0.231270 | + | 0.102968i | ||||
\(597\) | −49.5967 | − | 36.0341i | −2.02986 | − | 1.47478i | ||||
\(598\) | −27.3045 | + | 12.1568i | −1.11657 | + | 0.497127i | ||||
\(599\) | 14.2778 | + | 3.03483i | 0.583374 | + | 0.124000i | 0.490139 | − | 0.871644i | \(-0.336946\pi\) |
0.0932348 | + | 0.995644i | \(0.470279\pi\) | |||||||
\(600\) | −3.02550 | − | 28.7857i | −0.123516 | − | 1.17517i | ||||
\(601\) | −20.4359 | + | 22.6964i | −0.833599 | + | 0.925805i | −0.998165 | − | 0.0605607i | \(-0.980711\pi\) |
0.164566 | + | 0.986366i | \(0.447378\pi\) | |||||||
\(602\) | −0.315921 | − | 0.350865i | −0.0128760 | − | 0.0143002i | ||||
\(603\) | −6.24841 | + | 59.4496i | −0.254455 | + | 2.42098i | ||||
\(604\) | 2.70820 | − | 8.33499i | 0.110195 | − | 0.339146i | ||||
\(605\) | −2.16312 | + | 6.65740i | −0.0879433 | + | 0.270662i | ||||
\(606\) | 1.64195 | − | 15.6222i | 0.0666998 | − | 0.634607i | ||||
\(607\) | 15.0368 | + | 16.7001i | 0.610325 | + | 0.677834i | 0.966524 | − | 0.256576i | \(-0.0825943\pi\) |
−0.356199 | + | 0.934410i | \(0.615928\pi\) | |||||||
\(608\) | 5.06017 | − | 5.61989i | 0.205217 | − | 0.227917i | ||||
\(609\) | 0.220707 | + | 2.09989i | 0.00894351 | + | 0.0850918i | ||||
\(610\) | 12.9468 | + | 2.75193i | 0.524202 | + | 0.111423i | ||||
\(611\) | 7.30836 | − | 3.25389i | 0.295665 | − | 0.131638i | ||||
\(612\) | 2.85410 | + | 2.07363i | 0.115370 | + | 0.0838214i | ||||
\(613\) | 40.0942 | + | 17.8511i | 1.61939 | + | 0.720998i | 0.998043 | − | 0.0625380i | \(-0.0199194\pi\) |
0.621346 | + | 0.783536i | \(0.286586\pi\) | |||||||
\(614\) | 23.2254 | + | 40.2276i | 0.937302 | + | 1.62345i | ||||
\(615\) | −11.3262 | + | 19.6176i | −0.456718 | + | 0.791059i | ||||
\(616\) | −0.854102 | + | 0.620541i | −0.0344127 | + | 0.0250023i | ||||
\(617\) | −31.7625 | + | 6.75134i | −1.27871 | + | 0.271799i | −0.796705 | − | 0.604369i | \(-0.793425\pi\) |
−0.482007 | + | 0.876167i | \(0.660092\pi\) | |||||||
\(618\) | 10.0902 | + | 31.0543i | 0.405886 | + | 1.24919i | ||||
\(619\) | −6.18034 | −0.248409 | −0.124204 | − | 0.992257i | \(-0.539638\pi\) | ||||
−0.124204 | + | 0.992257i | \(0.539638\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −82.6099 | −3.31502 | ||||||||
\(622\) | −14.5902 | − | 44.9039i | −0.585013 | − | 1.80048i | ||||
\(623\) | 2.70353 | − | 0.574654i | 0.108315 | − | 0.0230230i | ||||
\(624\) | 41.1246 | − | 29.8788i | 1.64630 | − | 1.19611i | ||||
\(625\) | −5.50000 | + | 9.52628i | −0.220000 | + | 0.381051i | ||||
\(626\) | 13.5623 | + | 23.4906i | 0.542059 | + | 0.938873i | ||||
\(627\) | 13.2210 | + | 5.88635i | 0.527994 | + | 0.235078i | ||||
\(628\) | −10.4443 | − | 7.58821i | −0.416772 | − | 0.302802i | ||||
\(629\) | −1.39577 | + | 0.621438i | −0.0556531 | + | 0.0247784i | ||||
\(630\) | −2.79173 | − | 0.593401i | −0.111225 | − | 0.0236417i | ||||
\(631\) | 3.59167 | + | 34.1724i | 0.142982 | + | 1.36038i | 0.797034 | + | 0.603934i | \(0.206401\pi\) |
−0.654052 | + | 0.756450i | \(0.726932\pi\) | |||||||
\(632\) | −17.5181 | + | 19.4558i | −0.696831 | + | 0.773910i | ||||
\(633\) | 50.1936 | + | 55.7456i | 1.99502 | + | 2.21569i | ||||
\(634\) | −0.685948 | + | 6.52636i | −0.0272425 | + | 0.259195i | ||||
\(635\) | −3.85410 | + | 11.8617i | −0.152945 | + | 0.470717i | ||||
\(636\) | 6.47214 | − | 19.9192i | 0.256637 | − | 0.789847i | ||||
\(637\) | 2.34898 | − | 22.3490i | 0.0930699 | − | 0.885501i | ||||
\(638\) | 5.98489 | + | 6.64689i | 0.236944 | + | 0.263153i | ||||
\(639\) | −45.9002 | + | 50.9773i | −1.81578 | + | 2.01663i | ||||
\(640\) | −1.42347 | − | 13.5434i | −0.0562677 | − | 0.535351i | ||||
\(641\) | 11.7378 | + | 2.49494i | 0.463614 | + | 0.0985442i | 0.433796 | − | 0.901011i | \(-0.357174\pi\) |
0.0298181 | + | 0.999555i | \(0.490507\pi\) | |||||||
\(642\) | 27.5711 | − | 12.2755i | 1.08815 | − | 0.484473i | ||||
\(643\) | 15.7984 | + | 11.4782i | 0.623027 | + | 0.452656i | 0.853978 | − | 0.520310i | \(-0.174184\pi\) |
−0.230951 | + | 0.972966i | \(0.574184\pi\) | |||||||
\(644\) | −0.760815 | − | 0.338737i | −0.0299803 | − | 0.0133481i | ||||
\(645\) | 2.00000 | + | 3.46410i | 0.0787499 | + | 0.136399i | ||||
\(646\) | −1.38197 | + | 2.39364i | −0.0543727 | + | 0.0941763i | ||||
\(647\) | −0.763932 | + | 0.555029i | −0.0300333 | + | 0.0218204i | −0.602701 | − | 0.797967i | \(-0.705909\pi\) |
0.572667 | + | 0.819788i | \(0.305909\pi\) | |||||||
\(648\) | 53.4037 | − | 11.3513i | 2.09789 | − | 0.445921i | ||||
\(649\) | −1.38197 | − | 4.25325i | −0.0542469 | − | 0.166955i | ||||
\(650\) | −20.9443 | −0.821502 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.61803 | 0.259182 | ||||||||
\(653\) | −14.6180 | − | 44.9897i | −0.572048 | − | 1.76058i | −0.646018 | − | 0.763322i | \(-0.723567\pi\) |
0.0739705 | − | 0.997260i | \(-0.476433\pi\) | |||||||
\(654\) | 71.4176 | − | 15.1803i | 2.79265 | − | 0.593596i | ||||
\(655\) | −9.70820 | + | 7.05342i | −0.379331 | + | 0.275600i | ||||
\(656\) | 16.9894 | − | 29.4264i | 0.663323 | − | 1.14891i | ||||
\(657\) | 31.6525 | + | 54.8237i | 1.23488 | + | 2.13888i | ||||
\(658\) | 0.862635 | + | 0.384070i | 0.0336290 | + | 0.0149726i | ||||
\(659\) | −20.7533 | − | 15.0781i | −0.808433 | − | 0.587361i | 0.104943 | − | 0.994478i | \(-0.466534\pi\) |
−0.913376 | + | 0.407117i | \(0.866534\pi\) | |||||||
\(660\) | −3.65418 | + | 1.62695i | −0.142239 | + | 0.0633288i | ||||
\(661\) | 0.625350 | + | 0.132922i | 0.0243233 | + | 0.00517007i | 0.220057 | − | 0.975487i | \(-0.429376\pi\) |
−0.195734 | + | 0.980657i | \(0.562709\pi\) | |||||||
\(662\) | 0.338261 | + | 3.21834i | 0.0131469 | + | 0.125084i | ||||
\(663\) | −5.35304 | + | 5.94516i | −0.207895 | + | 0.230891i | ||||
\(664\) | −22.3599 | − | 24.8332i | −0.867734 | − | 0.963716i | ||||
\(665\) | 0.0551768 | − | 0.524972i | 0.00213967 | − | 0.0203576i | ||||
\(666\) | 7.47214 | − | 22.9969i | 0.289539 | − | 0.891111i | ||||
\(667\) | 4.87539 | − | 15.0049i | 0.188776 | − | 0.580992i | ||||
\(668\) | −0.418114 | + | 3.97809i | −0.0161773 | + | 0.153917i | ||||
\(669\) | −8.66141 | − | 9.61947i | −0.334869 | − | 0.371910i | ||||
\(670\) | 8.66141 | − | 9.61947i | 0.334619 | − | 0.371632i | ||||
\(671\) | −1.71016 | − | 16.2711i | −0.0660199 | − | 0.628137i | ||||
\(672\) | 2.52713 | + | 0.537159i | 0.0974863 | + | 0.0207214i | ||||
\(673\) | 26.5048 | − | 11.8007i | 1.02169 | − | 0.454884i | 0.173642 | − | 0.984809i | \(-0.444447\pi\) |
0.848045 | + | 0.529925i | \(0.177780\pi\) | |||||||
\(674\) | −19.3262 | − | 14.0413i | −0.744419 | − | 0.540852i | ||||
\(675\) | −52.8838 | − | 23.5454i | −2.03550 | − | 0.906263i | ||||
\(676\) | 0.781153 | + | 1.35300i | 0.0300443 | + | 0.0520383i | ||||
\(677\) | −23.3607 | + | 40.4619i | −0.897824 | + | 1.55508i | −0.0675535 | + | 0.997716i | \(0.521519\pi\) |
−0.830270 | + | 0.557361i | \(0.811814\pi\) | |||||||
\(678\) | −14.7082 | + | 10.6861i | −0.564865 | + | 0.410399i | ||||
\(679\) | 3.68168 | − | 0.782565i | 0.141290 | − | 0.0300321i | ||||
\(680\) | 0.527864 | + | 1.62460i | 0.0202427 | + | 0.0623005i | ||||
\(681\) | −20.9443 | −0.802586 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.18034 | 0.198220 | 0.0991101 | − | 0.995076i | \(-0.468400\pi\) | ||||
0.0991101 | + | 0.995076i | \(0.468400\pi\) | |||||||
\(684\) | −3.19098 | − | 9.82084i | −0.122010 | − | 0.375509i | ||||
\(685\) | 6.15431 | − | 1.30814i | 0.235144 | − | 0.0499814i | ||||
\(686\) | 4.30902 | − | 3.13068i | 0.164519 | − | 0.119530i | ||||
\(687\) | −21.7082 | + | 37.5997i | −0.828220 | + | 1.43452i | ||||
\(688\) | −3.00000 | − | 5.19615i | −0.114374 | − | 0.198101i | ||||
\(689\) | 30.9587 | + | 13.7837i | 1.17943 | + | 0.525118i | ||||
\(690\) | 24.1803 | + | 17.5680i | 0.920530 | + | 0.668804i | ||||
\(691\) | 2.90539 | − | 1.29356i | 0.110526 | − | 0.0492094i | −0.350729 | − | 0.936477i | \(-0.614066\pi\) |
0.461255 | + | 0.887268i | \(0.347399\pi\) | |||||||
\(692\) | −1.77990 | − | 0.378329i | −0.0676615 | − | 0.0143819i | ||||
\(693\) | 0.368762 | + | 3.50854i | 0.0140081 | + | 0.133278i | ||||
\(694\) | −26.1795 | + | 29.0753i | −0.993759 | + | 1.10368i | ||||
\(695\) | −8.97733 | − | 9.97033i | −0.340530 | − | 0.378196i | ||||
\(696\) | −2.09057 | + | 19.8904i | −0.0792428 | + | 0.753945i | ||||
\(697\) | −1.65248 | + | 5.08580i | −0.0625920 | + | 0.192638i | ||||
\(698\) | −3.94427 | + | 12.1392i | −0.149293 | + | 0.459476i | ||||
\(699\) | −6.06985 | + | 57.7508i | −0.229583 | + | 2.18433i | ||||
\(700\) | −0.390499 | − | 0.433693i | −0.0147595 | − | 0.0163921i | ||||
\(701\) | 4.68391 | − | 5.20201i | 0.176909 | − | 0.196477i | −0.648168 | − | 0.761497i | \(-0.724465\pi\) |
0.825077 | + | 0.565020i | \(0.191131\pi\) | |||||||
\(702\) | −7.92086 | − | 75.3620i | −0.298954 | − | 2.84435i | ||||
\(703\) | 4.37441 | + | 0.929809i | 0.164984 | + | 0.0350684i | ||||
\(704\) | −7.73968 | + | 3.44593i | −0.291700 | + | 0.129873i | ||||
\(705\) | −6.47214 | − | 4.70228i | −0.243755 | − | 0.177098i | ||||
\(706\) | −10.9625 | − | 4.88084i | −0.412581 | − | 0.183693i | ||||
\(707\) | 0.354102 | + | 0.613323i | 0.0133174 | + | 0.0230664i | ||||
\(708\) | −2.23607 | + | 3.87298i | −0.0840366 | + | 0.145556i | ||||
\(709\) | 20.6525 | − | 15.0049i | 0.775620 | − | 0.563521i | −0.128041 | − | 0.991769i | \(-0.540869\pi\) |
0.903661 | + | 0.428248i | \(0.140869\pi\) | |||||||
\(710\) | 14.5295 | − | 3.08834i | 0.545283 | − | 0.115903i | ||||
\(711\) | 27.0344 | + | 83.2035i | 1.01387 | + | 3.12037i | ||||
\(712\) | 26.1803 | 0.981150 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −0.944272 | −0.0353385 | ||||||||
\(715\) | −2.00000 | − | 6.15537i | −0.0747958 | − | 0.230198i | ||||
\(716\) | 1.03266 | − | 0.219498i | 0.0385922 | − | 0.00820303i | ||||
\(717\) | −30.6525 | + | 22.2703i | −1.14474 | + | 0.831701i | ||||
\(718\) | −17.9894 | + | 31.1585i | −0.671357 | + | 1.16282i | ||||
\(719\) | −6.90983 | − | 11.9682i | −0.257693 | − | 0.446338i | 0.707930 | − | 0.706282i | \(-0.249629\pi\) |
−0.965624 | + | 0.259945i | \(0.916296\pi\) | |||||||
\(720\) | −33.1348 | − | 14.7525i | −1.23486 | − | 0.549795i | ||||
\(721\) | −1.19098 | − | 0.865300i | −0.0443545 | − | 0.0322254i | ||||
\(722\) | −20.6941 | + | 9.21359i | −0.770153 | + | 0.342894i | ||||
\(723\) | 45.4566 | + | 9.66210i | 1.69055 | + | 0.359337i | ||||
\(724\) | −0.270059 | − | 2.56944i | −0.0100367 | − | 0.0954924i | ||||
\(725\) | 7.39773 | − | 8.21601i | 0.274745 | − | 0.305135i | ||||
\(726\) | −24.5253 | − | 27.2381i | −0.910219 | − | 1.01090i | ||||
\(727\) | 4.62393 | − | 43.9937i | 0.171492 | − | 1.63164i | −0.483037 | − | 0.875600i | \(-0.660466\pi\) |
0.654529 | − | 0.756037i | \(-0.272867\pi\) | |||||||
\(728\) | −0.527864 | + | 1.62460i | −0.0195639 | + | 0.0602116i | ||||
\(729\) | 12.9615 | − | 39.8914i | 0.480055 | − | 1.47746i | ||||
\(730\) | 1.43290 | − | 13.6331i | 0.0530339 | − | 0.504584i | ||||
\(731\) | 0.631841 | + | 0.701731i | 0.0233695 | + | 0.0259545i | ||||
\(732\) | −10.9474 | + | 12.1584i | −0.404629 | + | 0.449386i | ||||
\(733\) | −0.362937 | − | 3.45312i | −0.0134054 | − | 0.127544i | 0.985772 | − | 0.168085i | \(-0.0537584\pi\) |
−0.999178 | + | 0.0405415i | \(0.987092\pi\) | |||||||
\(734\) | 28.4882 | + | 6.05535i | 1.05152 | + | 0.223507i | ||||
\(735\) | −20.5293 | + | 9.14024i | −0.757235 | + | 0.337143i | ||||
\(736\) | −15.6180 | − | 11.3472i | −0.575688 | − | 0.418262i | ||||
\(737\) | −14.6167 | − | 6.50779i | −0.538414 | − | 0.239717i | ||||
\(738\) | −42.3156 | − | 73.2928i | −1.55766 | − | 2.69794i | ||||
\(739\) | 3.09017 | − | 5.35233i | 0.113674 | − | 0.196889i | −0.803575 | − | 0.595203i | \(-0.797071\pi\) |
0.917249 | + | 0.398315i | \(0.130405\pi\) | |||||||
\(740\) | −1.00000 | + | 0.726543i | −0.0367607 | + | 0.0267082i | ||||
\(741\) | 22.9047 | − | 4.86854i | 0.841425 | − | 0.178850i | ||||
\(742\) | 1.23607 | + | 3.80423i | 0.0453775 | + | 0.139658i | ||||
\(743\) | −50.1803 | −1.84094 | −0.920469 | − | 0.390815i | \(-0.872193\pi\) | ||||
−0.920469 | + | 0.390815i | \(0.872193\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.0000 | 0.366372 | ||||||||
\(746\) | 9.50000 | + | 29.2380i | 0.347820 | + | 1.07048i | ||||
\(747\) | −109.225 | + | 23.2166i | −3.99635 | + | 0.849451i | ||||
\(748\) | −0.763932 | + | 0.555029i | −0.0279321 | + | 0.0202939i | ||||
\(749\) | −0.680340 | + | 1.17838i | −0.0248591 | + | 0.0430572i | ||||
\(750\) | 23.5623 | + | 40.8111i | 0.860374 | + | 1.49021i | ||||
\(751\) | −19.6787 | − | 8.76152i | −0.718086 | − | 0.319712i | 0.0149633 | − | 0.999888i | \(-0.495237\pi\) |
−0.733049 | + | 0.680176i | \(0.761904\pi\) | |||||||
\(752\) | 9.70820 | + | 7.05342i | 0.354022 | + | 0.257212i | ||||
\(753\) | 5.37945 | − | 2.39509i | 0.196038 | − | 0.0872818i | ||||
\(754\) | 14.1559 | + | 3.00893i | 0.515527 | + | 0.109579i | ||||
\(755\) | −1.48225 | − | 14.1027i | −0.0539446 | − | 0.513248i | ||||
\(756\) | 1.41284 | − | 1.56912i | 0.0513845 | − | 0.0570683i | ||||
\(757\) | −5.78964 | − | 6.43004i | −0.210428 | − | 0.233704i | 0.628686 | − | 0.777659i | \(-0.283593\pi\) |
−0.839114 | + | 0.543955i | \(0.816926\pi\) | |||||||
\(758\) | 0.357112 | − | 3.39769i | 0.0129709 | − | 0.123410i | ||||
\(759\) | 11.4164 | − | 35.1361i | 0.414389 | − | 1.27536i | ||||
\(760\) | 1.54508 | − | 4.75528i | 0.0560461 | − | 0.172492i | ||||
\(761\) | 0.209057 | − | 1.98904i | 0.00757831 | − | 0.0721028i | −0.990079 | − | 0.140511i | \(-0.955125\pi\) |
0.997657 | + | 0.0684084i | \(0.0217921\pi\) | |||||||
\(762\) | −43.6975 | − | 48.5310i | −1.58299 | − | 1.75809i | ||||
\(763\) | −2.20264 | + | 2.44628i | −0.0797410 | + | 0.0885613i | ||||
\(764\) | 1.23909 | + | 11.7892i | 0.0448287 | + | 0.426517i | ||||
\(765\) | 5.58347 | + | 1.18680i | 0.201871 | + | 0.0429089i | ||||
\(766\) | 35.3108 | − | 15.7214i | 1.27583 | − | 0.568036i | ||||
\(767\) | −5.85410 | − | 4.25325i | −0.211379 | − | 0.153576i | ||||
\(768\) | 40.0942 | + | 17.8511i | 1.44677 | + | 0.644145i | ||||
\(769\) | 23.6803 | + | 41.0156i | 0.853935 | + | 1.47906i | 0.877630 | + | 0.479339i | \(0.159124\pi\) |
−0.0236947 | + | 0.999719i | \(0.507543\pi\) | |||||||
\(770\) | 0.381966 | − | 0.661585i | 0.0137651 | − | 0.0238419i | ||||
\(771\) | −5.09017 | + | 3.69822i | −0.183318 | + | 0.133188i | ||||
\(772\) | −2.09901 | + | 0.446157i | −0.0755448 | + | 0.0160576i | ||||
\(773\) | 3.43769 | + | 10.5801i | 0.123645 | + | 0.380541i | 0.993652 | − | 0.112499i | \(-0.0358856\pi\) |
−0.870007 | + | 0.493040i | \(0.835886\pi\) | |||||||
\(774\) | −14.9443 | −0.537161 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 35.6525 | 1.27985 | ||||||||
\(777\) | 0.472136 | + | 1.45309i | 0.0169378 | + | 0.0521291i | ||||
\(778\) | −28.3118 | + | 6.01785i | −1.01503 | + | 0.215750i | ||||
\(779\) | 12.6631 | − | 9.20029i | 0.453703 | − | 0.329635i | ||||
\(780\) | −3.23607 | + | 5.60503i | −0.115870 | + | 0.200692i | ||||
\(781\) | −9.18034 | − | 15.9008i | −0.328498 | − | 0.568976i | ||||
\(782\) | 6.44573 | + | 2.86982i | 0.230499 | + | 0.102625i | ||||
\(783\) | 32.3607 | + | 23.5114i | 1.15648 | + | 0.840229i | ||||
\(784\) | 30.7940 | − | 13.7104i | 1.09978 | − | 0.489656i | ||||
\(785\) | −20.4321 | − | 4.34297i | −0.729252 | − | 0.155007i | ||||
\(786\) | −6.56782 | − | 62.4886i | −0.234266 | − | 2.22889i | ||||
\(787\) | −4.91645 | + | 5.46027i | −0.175253 | + | 0.194638i | −0.824371 | − | 0.566049i | \(-0.808471\pi\) |
0.649119 | + | 0.760687i | \(0.275138\pi\) | |||||||
\(788\) | −4.72120 | − | 5.24343i | −0.168186 | − | 0.186789i | ||||
\(789\) | −7.85986 | + | 74.7816i | −0.279818 | + | 2.66229i | ||||
\(790\) | 5.85410 | − | 18.0171i | 0.208280 | − | 0.641019i | ||||
\(791\) | 0.253289 | − | 0.779543i | 0.00900592 | − | 0.0277174i | ||||
\(792\) | −3.49297 | + | 33.2333i | −0.124117 | + | 1.18090i | ||||
\(793\) | −17.7133 | − | 19.6726i | −0.629018 | − | 0.698596i | ||||
\(794\) | −7.57873 | + | 8.41704i | −0.268959 | + | 0.298709i | ||||
\(795\) | −3.54232 | − | 33.7029i | −0.125633 | − | 1.19532i | ||||
\(796\) | −11.4524 | − | 2.43427i | −0.405918 | − | 0.0862805i | ||||
\(797\) | 50.6254 | − | 22.5399i | 1.79324 | − | 0.798404i | 0.818695 | − | 0.574229i | \(-0.194698\pi\) |
0.974549 | − | 0.224175i | \(-0.0719688\pi\) | |||||||
\(798\) | 2.23607 | + | 1.62460i | 0.0791559 | + | 0.0575102i | ||||
\(799\) | −1.72527 | − | 0.768140i | −0.0610357 | − | 0.0271748i | ||||
\(800\) | −6.76393 | − | 11.7155i | −0.239141 | − | 0.414205i | ||||
\(801\) | 43.7426 | − | 75.7645i | 1.54557 | − | 2.67701i | ||||
\(802\) | 49.9787 | − | 36.3117i | 1.76481 | − | 1.28221i | ||||
\(803\) | −16.5740 | + | 3.52291i | −0.584884 | + | 0.124321i | ||||
\(804\) | 4.94427 | + | 15.2169i | 0.174371 | + | 0.536659i | ||||
\(805\) | −1.34752 | −0.0474940 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 35.7771 | 1.25941 | ||||||||
\(808\) | 2.07295 | + | 6.37988i | 0.0729261 | + | 0.224443i | ||||
\(809\) | 22.9047 | − | 4.86854i | 0.805286 | − | 0.171169i | 0.213164 | − | 0.977017i | \(-0.431623\pi\) |
0.592123 | + | 0.805848i | \(0.298290\pi\) | |||||||
\(810\) | −31.9615 | + | 23.2214i | −1.12301 | + | 0.815916i | ||||
\(811\) | 14.0000 | − | 24.2487i | 0.491606 | − | 0.851487i | −0.508347 | − | 0.861152i | \(-0.669743\pi\) |
0.999953 | + | 0.00966502i | \(0.00307652\pi\) | |||||||
\(812\) | 0.201626 | + | 0.349227i | 0.00707569 | + | 0.0122555i | ||||
\(813\) | 41.9213 | + | 18.6646i | 1.47024 | + | 0.654594i | ||||
\(814\) | 5.23607 | + | 3.80423i | 0.183524 | + | 0.133338i | ||||
\(815\) | 9.78243 | − | 4.35542i | 0.342664 | − | 0.152564i | ||||
\(816\) | −11.7378 | − | 2.49494i | −0.410904 | − | 0.0873404i | ||||
\(817\) | −0.288910 | − | 2.74879i | −0.0101077 | − | 0.0961680i | ||||
\(818\) | 4.13545 | − | 4.59289i | 0.144593 | − | 0.160587i | ||||
\(819\) | 3.81953 | + | 4.24202i | 0.133465 | + | 0.148228i | ||||
\(820\) | −0.452215 | + | 4.30254i | −0.0157920 | + | 0.150251i | ||||
\(821\) | −9.43769 | + | 29.0462i | −0.329378 | + | 1.01372i | 0.640048 | + | 0.768335i | \(0.278915\pi\) |
−0.969426 | + | 0.245386i | \(0.921085\pi\) | |||||||
\(822\) | −10.1803 | + | 31.3319i | −0.355080 | + | 1.09282i | ||||
\(823\) | −1.49390 | + | 14.2135i | −0.0520741 | + | 0.495452i | 0.937138 | + | 0.348960i | \(0.113465\pi\) |
−0.989212 | + | 0.146492i | \(0.953202\pi\) | |||||||
\(824\) | −9.33054 | − | 10.3626i | −0.325045 | − | 0.360999i | ||||
\(825\) | 17.3228 | − | 19.2389i | 0.603103 | − | 0.669814i | ||||
\(826\) | −0.0892780 | − | 0.849423i | −0.00310638 | − | 0.0295552i | ||||
\(827\) | 16.9684 | + | 3.60675i | 0.590050 | + | 0.125419i | 0.493254 | − | 0.869885i | \(-0.335807\pi\) |
0.0967961 | + | 0.995304i | \(0.469141\pi\) | |||||||
\(828\) | −24.0817 | + | 10.7219i | −0.836896 | + | 0.372610i | ||||
\(829\) | 13.6180 | + | 9.89408i | 0.472974 | + | 0.343636i | 0.798599 | − | 0.601863i | \(-0.205575\pi\) |
−0.325625 | + | 0.945499i | \(0.605575\pi\) | |||||||
\(830\) | 22.0898 | + | 9.83503i | 0.766750 | + | 0.341379i | ||||
\(831\) | −20.4721 | − | 35.4588i | −0.710171 | − | 1.23005i | ||||
\(832\) | −6.85410 | + | 11.8717i | −0.237623 | + | 0.411576i | ||||
\(833\) | −4.29180 | + | 3.11817i | −0.148702 | + | 0.108038i | ||||
\(834\) | 68.7141 | − | 14.6056i | 2.37938 | − | 0.505752i | ||||
\(835\) | 2.00000 | + | 6.15537i | 0.0692129 | + | 0.213015i | ||||
\(836\) | 2.76393 | 0.0955926 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −16.3820 | −0.565906 | ||||||||
\(839\) | 8.94427 | + | 27.5276i | 0.308791 | + | 0.950360i | 0.978235 | + | 0.207498i | \(0.0665320\pi\) |
−0.669445 | + | 0.742862i | \(0.733468\pi\) | |||||||
\(840\) | 1.67088 | − | 0.355156i | 0.0576507 | − | 0.0122540i | ||||
\(841\) | 17.2812 | − | 12.5555i | 0.595902 | − | 0.432948i | ||||
\(842\) | −23.7533 | + | 41.1419i | −0.818592 | + | 1.41784i | ||||
\(843\) | −27.5066 | − | 47.6428i | −0.947377 | − | 1.64090i | ||||
\(844\) | 13.0877 | + | 5.82701i | 0.450496 | + | 0.200574i | ||||
\(845\) | 2.04508 | + | 1.48584i | 0.0703531 | + | 0.0511145i | ||||
\(846\) | 27.3045 | − | 12.1568i | 0.938750 | − | 0.417958i | ||||
\(847\) | 1.61637 | + | 0.343569i | 0.0555390 | + | 0.0118052i | ||||
\(848\) | 5.31348 | + | 50.5543i | 0.182466 | + | 1.73604i | ||||
\(849\) | −30.0736 | + | 33.4001i | −1.03212 | + | 1.14629i | ||||
\(850\) | 3.30836 | + | 3.67431i | 0.113476 | + | 0.126028i | ||||
\(851\) | 1.19334 | − | 11.3539i | 0.0409072 | − | 0.389206i | ||||
\(852\) | −5.67376 | + | 17.4620i | −0.194380 | + | 0.598240i | ||||
\(853\) | 3.27051 | − | 10.0656i | 0.111980 | − | 0.344639i | −0.879325 | − | 0.476222i | \(-0.842006\pi\) |
0.991305 | + | 0.131583i | \(0.0420059\pi\) | |||||||
\(854\) | 0.326611 | − | 3.10749i | 0.0111764 | − | 0.106336i | ||||
\(855\) | −11.1800 | − | 12.4166i | −0.382347 | − | 0.424639i | ||||
\(856\) | −8.62412 | + | 9.57805i | −0.294766 | + | 0.327371i | ||||
\(857\) | 5.81864 | + | 55.3607i | 0.198761 | + | 1.89109i | 0.407639 | + | 0.913143i | \(0.366352\pi\) |
−0.208878 | + | 0.977942i | \(0.566981\pi\) | |||||||
\(858\) | 33.1480 | + | 7.04582i | 1.13165 | + | 0.240540i | ||||
\(859\) | −1.92891 | + | 0.858807i | −0.0658136 | + | 0.0293021i | −0.439379 | − | 0.898302i | \(-0.644802\pi\) |
0.373566 | + | 0.927604i | \(0.378135\pi\) | |||||||
\(860\) | 0.618034 | + | 0.449028i | 0.0210748 | + | 0.0153117i | ||||
\(861\) | 4.88521 | + | 2.17503i | 0.166487 | + | 0.0741250i | ||||
\(862\) | −9.70820 | − | 16.8151i | −0.330663 | − | 0.572725i | ||||
\(863\) | −4.90983 | + | 8.50408i | −0.167133 | + | 0.289482i | −0.937411 | − | 0.348226i | \(-0.886784\pi\) |
0.770278 | + | 0.637708i | \(0.220117\pi\) | |||||||
\(864\) | 39.5967 | − | 28.7687i | 1.34711 | − | 0.978732i | ||||
\(865\) | −2.87993 | + | 0.612149i | −0.0979206 | + | 0.0208137i | ||||
\(866\) | −5.09017 | − | 15.6659i | −0.172971 | − | 0.532350i | ||||
\(867\) | −53.1246 | −1.80421 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −23.4164 | −0.794347 | ||||||||
\(870\) | −4.47214 | − | 13.7638i | −0.151620 | − | 0.466637i | ||||
\(871\) | −25.3228 | + | 5.38253i | −0.858031 | + | 0.182380i | ||||
\(872\) | −25.2254 | + | 18.3273i | −0.854241 | + | 0.620642i | ||||
\(873\) | 59.5689 | − | 103.176i | 2.01610 | − | 3.49199i | ||||
\(874\) | −10.3262 | − | 17.8856i | −0.349290 | − | 0.604988i | ||||
\(875\) | −1.94093 | − | 0.864157i | −0.0656154 | − | 0.0292139i | ||||
\(876\) | 13.7082 | + | 9.95959i | 0.463157 | + | 0.336503i | ||||
\(877\) | −16.4947 | + | 7.34393i | −0.556987 | + | 0.247987i | −0.665870 | − | 0.746068i | \(-0.731939\pi\) |
0.108883 | + | 0.994055i | \(0.465273\pi\) | |||||||
\(878\) | 1.86810 | + | 0.397076i | 0.0630452 | + | 0.0134007i | ||||
\(879\) | 0.159705 | + | 1.51949i | 0.00538673 | + | 0.0512513i | ||||
\(880\) | 6.49606 | − | 7.21460i | 0.218982 | − | 0.243204i | ||||
\(881\) | 13.6240 | + | 15.1309i | 0.459003 | + | 0.509774i | 0.927568 | − | 0.373655i | \(-0.121896\pi\) |
−0.468565 | + | 0.883429i | \(0.655229\pi\) | |||||||
\(882\) | 8.77594 | − | 83.4975i | 0.295501 | − | 2.81151i | ||||
\(883\) | 9.81966 | − | 30.2218i | 0.330458 | − | 1.01704i | −0.638458 | − | 0.769656i | \(-0.720428\pi\) |
0.968916 | − | 0.247389i | \(-0.0795724\pi\) | |||||||
\(884\) | −0.472136 | + | 1.45309i | −0.0158797 | + | 0.0488725i | ||||
\(885\) | −0.756375 | + | 7.19643i | −0.0254253 | + | 0.241905i | ||||
\(886\) | 33.2470 | + | 36.9246i | 1.11696 | + | 1.24051i | ||||
\(887\) | 18.1126 | − | 20.1161i | 0.608162 | − | 0.675433i | −0.357895 | − | 0.933762i | \(-0.616505\pi\) |
0.966057 | + | 0.258329i | \(0.0831720\pi\) | |||||||
\(888\) | 1.51275 | + | 14.3929i | 0.0507646 | + | 0.482993i | ||||
\(889\) | 2.87993 | + | 0.612149i | 0.0965898 | + | 0.0205308i | ||||
\(890\) | −17.3065 | + | 7.70533i | −0.580114 | + | 0.258283i | ||||
\(891\) | 39.5066 | + | 28.7032i | 1.32352 | + | 0.961594i | ||||
\(892\) | −2.25841 | − | 1.00551i | −0.0756171 | − | 0.0336669i | ||||
\(893\) | 2.76393 | + | 4.78727i | 0.0924915 | + | 0.160200i | ||||
\(894\) | −26.1803 | + | 45.3457i | −0.875602 | + | 1.51659i | ||||
\(895\) | 1.38197 | − | 1.00406i | 0.0461940 | − | 0.0335619i | ||||
\(896\) | −3.14453 | + | 0.668391i | −0.105051 | + | 0.0223294i | ||||
\(897\) | −18.4721 | − | 56.8514i | −0.616767 | − | 1.89821i | ||||
\(898\) | 50.6525 | 1.69030 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −18.4721 | −0.615738 | ||||||||
\(901\) | −2.47214 | − | 7.60845i | −0.0823588 | − | 0.253474i | ||||
\(902\) | 22.1575 | − | 4.70971i | 0.737763 | − | 0.156816i | ||||
\(903\) | 0.763932 | − | 0.555029i | 0.0254221 | − | 0.0184702i | ||||
\(904\) | 3.88197 | − | 6.72376i | 0.129112 | − | 0.223629i | ||||
\(905\) | −2.09017 | − | 3.62028i | −0.0694796 | − | 0.120342i | ||||
\(906\) | 67.8300 | + | 30.1999i | 2.25350 | + | 1.00332i | ||||
\(907\) | 19.6074 | + | 14.2456i | 0.651053 | + | 0.473017i | 0.863630 | − | 0.504127i | \(-0.168186\pi\) |
−0.212577 | + | 0.977144i | \(0.568186\pi\) | |||||||
\(908\) | −3.65418 | + | 1.62695i | −0.121268 | + | 0.0539921i | ||||
\(909\) | 21.9266 | + | 4.66063i | 0.727258 | + | 0.154583i | ||||
\(910\) | −0.129204 | − | 1.22930i | −0.00428308 | − | 0.0407508i | ||||
\(911\) | −12.1650 | + | 13.5106i | −0.403045 | + | 0.447627i | −0.910163 | − | 0.414250i | \(-0.864044\pi\) |
0.507118 | + | 0.861877i | \(0.330711\pi\) | |||||||
\(912\) | 23.5030 | + | 26.1027i | 0.778261 | + | 0.864346i | ||||
\(913\) | 3.12420 | − | 29.7248i | 0.103396 | − | 0.983748i | ||||
\(914\) | 1.52786 | − | 4.70228i | 0.0505373 | − | 0.155538i | ||||
\(915\) | −8.18034 | + | 25.1765i | −0.270434 | + | 0.832309i | ||||
\(916\) | −0.866729 | + | 8.24637i | −0.0286375 | + | 0.272468i | ||||
\(917\) | 1.89552 | + | 2.10519i | 0.0625957 | + | 0.0695196i | ||||
\(918\) | −11.9698 | + | 13.2938i | −0.395061 | + | 0.438760i | ||||
\(919\) | 1.51275 | + | 14.3929i | 0.0499010 | + | 0.474777i | 0.990725 | + | 0.135881i | \(0.0433866\pi\) |
−0.940824 | + | 0.338895i | \(0.889947\pi\) | |||||||
\(920\) | −12.4850 | − | 2.65377i | −0.411619 | − | 0.0874922i | ||||
\(921\) | −84.8699 | + | 37.7865i | −2.79656 | + | 1.24511i | ||||
\(922\) | 44.9787 | + | 32.6789i | 1.48130 | + | 1.07622i | ||||
\(923\) | −27.1398 | − | 12.0834i | −0.893317 | − | 0.397730i | ||||
\(924\) | 0.472136 | + | 0.817763i | 0.0155321 | + | 0.0269024i | ||||
\(925\) | 4.00000 | − | 6.92820i | 0.131519 | − | 0.227798i | ||||
\(926\) | −3.38197 | + | 2.45714i | −0.111138 | + | 0.0807467i | ||||
\(927\) | −45.5785 | + | 9.68801i | −1.49699 | + | 0.318196i | ||||
\(928\) | 2.88854 | + | 8.89002i | 0.0948211 | + | 0.291829i | ||||
\(929\) | 20.0000 | 0.656179 | 0.328089 | − | 0.944647i | \(-0.393595\pi\) | ||||
0.328089 | + | 0.944647i | \(0.393595\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 15.5279 | 0.508905 | ||||||||
\(932\) | 3.42705 | + | 10.5474i | 0.112257 | + | 0.345491i | ||||
\(933\) | 92.3661 | − | 19.6330i | 3.02393 | − | 0.642756i | ||||
\(934\) | −6.16312 | + | 4.47777i | −0.201663 | + | 0.146517i | ||||
\(935\) | −0.763932 | + | 1.32317i | −0.0249832 | + | 0.0432723i | ||||
\(936\) | 27.0344 | + | 46.8250i | 0.883648 | + | 1.53052i | ||||
\(937\) | 8.27282 | + | 3.68330i | 0.270261 | + | 0.120328i | 0.537393 | − | 0.843332i | \(-0.319409\pi\) |
−0.267132 | + | 0.963660i | \(0.586076\pi\) | |||||||
\(938\) | −2.47214 | − | 1.79611i | −0.0807181 | − | 0.0586451i | ||||
\(939\) | −49.5591 | + | 22.0651i | −1.61730 | + | 0.720069i | ||||
\(940\) | −1.49448 | − | 0.317661i | −0.0487445 | − | 0.0103610i | ||||
\(941\) | −3.97208 | − | 37.7918i | −0.129486 | − | 1.23198i | −0.845532 | − | 0.533925i | \(-0.820716\pi\) |
0.716046 | − | 0.698053i | \(-0.245950\pi\) | |||||||
\(942\) | 73.1854 | − | 81.2806i | 2.38451 | − | 2.64827i | ||||
\(943\) | −26.7367 | − | 29.6942i | −0.870668 | − | 0.966975i | ||||
\(944\) | 1.13456 | − | 10.7946i | 0.0369269 | − | 0.351336i | ||||
\(945\) | 1.05573 | − | 3.24920i | 0.0343428 | − | 0.105696i | ||||
\(946\) | 1.23607 | − | 3.80423i | 0.0401880 | − | 0.123686i | ||||
\(947\) | −1.36470 | + | 12.9842i | −0.0443466 | + | 0.421930i | 0.949715 | + | 0.313115i | \(0.101372\pi\) |
−0.994062 | + | 0.108815i | \(0.965294\pi\) | |||||||
\(948\) | 15.6686 | + | 17.4018i | 0.508894 | + | 0.565184i | ||||
\(949\) | −18.3452 | + | 20.3744i | −0.595509 | + | 0.661380i | ||||
\(950\) | −1.51275 | − | 14.3929i | −0.0490801 | − | 0.466966i | ||||
\(951\) | −12.8378 | − | 2.72876i | −0.416294 | − | 0.0884861i | ||||
\(952\) | 0.368389 | − | 0.164017i | 0.0119396 | − | 0.00531584i | ||||
\(953\) | 36.9787 | + | 26.8666i | 1.19786 | + | 0.870295i | 0.994072 | − | 0.108721i | \(-0.0346754\pi\) |
0.203786 | + | 0.979016i | \(0.434675\pi\) | |||||||
\(954\) | 115.664 | + | 51.4969i | 3.74476 | + | 1.66727i | ||||
\(955\) | 9.59017 | + | 16.6107i | 0.310331 | + | 0.537508i | ||||
\(956\) | −3.61803 | + | 6.26662i | −0.117016 | + | 0.202677i | ||||
\(957\) | −14.4721 | + | 10.5146i | −0.467818 | + | 0.339889i | ||||
\(958\) | −36.8634 | + | 7.83555i | −1.19100 | + | 0.253155i | ||||
\(959\) | −0.458980 | − | 1.41260i | −0.0148212 | − | 0.0456151i | ||||
\(960\) | 13.7082 | 0.442430 | ||||||||
\(961\) | 0 | 0 | ||||||||
\(962\) | 10.4721 | 0.337635 | ||||||||
\(963\) | 13.3090 | + | 40.9609i | 0.428877 | + | 1.31995i | ||||
\(964\) | 8.68144 | − | 1.84530i | 0.279610 | − | 0.0594330i | ||||
\(965\) | −2.80902 | + | 2.04087i | −0.0904255 | + | 0.0656979i | ||||
\(966\) | 3.52786 | − | 6.11044i | 0.113507 | − | 0.196600i | ||||
\(967\) | 30.1803 | + | 52.2739i | 0.970534 | + | 1.68101i | 0.693947 | + | 0.720026i | \(0.255870\pi\) |
0.276587 | + | 0.960989i | \(0.410797\pi\) | |||||||
\(968\) | 14.2992 | + | 6.36644i | 0.459595 | + | 0.204625i | ||||
\(969\) | −4.47214 | − | 3.24920i | −0.143666 | − | 0.104379i | ||||
\(970\) | −23.5680 | + | 10.4931i | −0.756722 | + | 0.336915i | ||||
\(971\) | 27.3881 | + | 5.82153i | 0.878927 | + | 0.186822i | 0.625210 | − | 0.780457i | \(-0.285013\pi\) |
0.253717 | + | 0.967278i | \(0.418347\pi\) | |||||||
\(972\) | −2.29963 | − | 21.8795i | −0.0737605 | − | 0.701785i | ||||
\(973\) | −2.11926 | + | 2.35368i | −0.0679404 | + | 0.0754554i | ||||
\(974\) | 20.8264 | + | 23.1301i | 0.667322 | + | 0.741136i | ||||
\(975\) | 4.37855 | − | 41.6591i | 0.140226 | − | 1.33416i | ||||
\(976\) | 12.2705 | − | 37.7647i | 0.392769 | − | 1.20882i | ||||
\(977\) | −14.6008 | + | 44.9367i | −0.467121 | + | 1.43765i | 0.389173 | + | 0.921164i | \(0.372761\pi\) |
−0.856295 | + | 0.516487i | \(0.827239\pi\) | |||||||
\(978\) | −5.86079 | + | 55.7617i | −0.187408 | + | 1.78306i | ||||
\(979\) | 15.6686 | + | 17.4018i | 0.500772 | + | 0.556163i | ||||
\(980\) | −2.87177 | + | 3.18943i | −0.0917354 | + | 0.101882i | ||||
\(981\) | 10.8912 | + | 103.623i | 0.347729 | + | 3.30842i | ||||
\(982\) | 6.90154 | + | 1.46697i | 0.220237 | + | 0.0468128i | ||||
\(983\) | −36.1105 | + | 16.0774i | −1.15175 | + | 0.512790i | −0.891620 | − | 0.452784i | \(-0.850431\pi\) |
−0.260126 | + | 0.965575i | \(0.583764\pi\) | |||||||
\(984\) | 40.9787 | + | 29.7728i | 1.30635 | + | 0.949122i | ||||
\(985\) | −10.4294 | − | 4.64347i | −0.332309 | − | 0.147953i | ||||
\(986\) | −1.70820 | − | 2.95870i | −0.0544003 | − | 0.0942241i | ||||
\(987\) | −0.944272 | + | 1.63553i | −0.0300565 | + | 0.0520594i | ||||
\(988\) | 3.61803 | − | 2.62866i | 0.115105 | − | 0.0836287i | ||||
\(989\) | −6.90154 | + | 1.46697i | −0.219456 | + | 0.0466469i | ||||
\(990\) | −7.47214 | − | 22.9969i | −0.237480 | − | 0.730889i | ||||
\(991\) | 16.5410 | 0.525443 | 0.262721 | − | 0.964872i | \(-0.415380\pi\) | ||||
0.262721 | + | 0.964872i | \(0.415380\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −6.47214 | −0.205387 | ||||||||
\(994\) | −1.08359 | − | 3.33495i | −0.0343695 | − | 0.105778i | ||||
\(995\) | −18.5303 | + | 3.93874i | −0.587450 | + | 0.124866i | ||||
\(996\) | −24.1803 | + | 17.5680i | −0.766183 | + | 0.556665i | ||||
\(997\) | 14.6803 | − | 25.4271i | 0.464931 | − | 0.805284i | −0.534267 | − | 0.845316i | \(-0.679412\pi\) |
0.999198 | + | 0.0400314i | \(0.0127458\pi\) | |||||||
\(998\) | −5.32624 | − | 9.22531i | −0.168599 | − | 0.292022i | ||||
\(999\) | 26.4419 | + | 11.7727i | 0.836585 | + | 0.372472i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))