Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [67,2,Mod(9,67)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(67, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("67.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 67.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.534997693543\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 7 x^{19} + 39 x^{18} - 148 x^{17} + 492 x^{16} - 1282 x^{15} + 2921 x^{14} - 4316 x^{13} + 2696 x^{12} + 9361 x^{11} - 20998 x^{10} + 10813 x^{9} + 44155 x^{8} + \cdots + 4489 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 14.2 | ||
Root | \(1.66916 - 1.92631i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 67.14 |
Dual form | 67.2.e.c.24.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/67\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.797176 | − | 1.74557i | −0.563688 | − | 1.23431i | −0.950090 | − | 0.311975i | \(-0.899010\pi\) |
0.386402 | − | 0.922330i | \(-0.373718\pi\) | |||||||
\(3\) | 0.802994 | + | 0.516053i | 0.463609 | + | 0.297943i | 0.751516 | − | 0.659715i | \(-0.229323\pi\) |
−0.287907 | + | 0.957658i | \(0.592959\pi\) | |||||||
\(4\) | −1.10181 | + | 1.27155i | −0.550904 | + | 0.635777i | ||||
\(5\) | −0.451016 | − | 3.13689i | −0.201701 | − | 1.40286i | −0.799237 | − | 0.601016i | \(-0.794763\pi\) |
0.597536 | − | 0.801842i | \(-0.296146\pi\) | |||||||
\(6\) | 0.260680 | − | 1.81307i | 0.106422 | − | 0.740182i | ||||
\(7\) | 1.40141 | + | 3.06866i | 0.529683 | + | 1.15984i | 0.965642 | + | 0.259878i | \(0.0836823\pi\) |
−0.435958 | + | 0.899967i | \(0.643590\pi\) | |||||||
\(8\) | −0.584585 | − | 0.171650i | −0.206682 | − | 0.0606873i | ||||
\(9\) | −0.867756 | − | 1.90012i | −0.289252 | − | 0.633374i | ||||
\(10\) | −5.11612 | + | 3.28793i | −1.61786 | + | 1.03973i | ||||
\(11\) | 0.598388 | + | 4.16188i | 0.180421 | + | 1.25485i | 0.855770 | + | 0.517356i | \(0.173084\pi\) |
−0.675349 | + | 0.737498i | \(0.736007\pi\) | |||||||
\(12\) | −1.54093 | + | 0.452459i | −0.444830 | + | 0.130614i | ||||
\(13\) | 1.65150 | − | 0.484925i | 0.458045 | − | 0.134494i | −0.0445670 | − | 0.999006i | \(-0.514191\pi\) |
0.502611 | + | 0.864512i | \(0.332373\pi\) | |||||||
\(14\) | 4.23940 | − | 4.89252i | 1.13303 | − | 1.30758i | ||||
\(15\) | 1.25664 | − | 2.75165i | 0.324462 | − | 0.710473i | ||||
\(16\) | 0.645282 | + | 4.48803i | 0.161320 | + | 1.12201i | ||||
\(17\) | 3.22553 | + | 3.72246i | 0.782306 | + | 0.902830i | 0.997274 | − | 0.0737915i | \(-0.0235099\pi\) |
−0.214967 | + | 0.976621i | \(0.568964\pi\) | |||||||
\(18\) | −2.62504 | + | 3.02946i | −0.618728 | + | 0.714050i | ||||
\(19\) | −0.0642876 | + | 0.140770i | −0.0147486 | + | 0.0322949i | −0.916863 | − | 0.399202i | \(-0.869287\pi\) |
0.902114 | + | 0.431497i | \(0.142014\pi\) | |||||||
\(20\) | 4.48565 | + | 2.88275i | 1.00302 | + | 0.644603i | ||||
\(21\) | −0.458267 | + | 3.18732i | −0.100002 | + | 0.695530i | ||||
\(22\) | 6.78784 | − | 4.36228i | 1.44717 | − | 0.930041i | ||||
\(23\) | −0.215503 | − | 0.138495i | −0.0449354 | − | 0.0288782i | 0.517980 | − | 0.855393i | \(-0.326684\pi\) |
−0.562916 | + | 0.826514i | \(0.690320\pi\) | |||||||
\(24\) | −0.380838 | − | 0.439511i | −0.0777383 | − | 0.0897147i | ||||
\(25\) | −4.83917 | + | 1.42091i | −0.967834 | + | 0.284182i | ||||
\(26\) | −2.16301 | − | 2.49625i | −0.424201 | − | 0.489554i | ||||
\(27\) | 0.691288 | − | 4.80801i | 0.133038 | − | 0.925302i | ||||
\(28\) | −5.44605 | − | 1.59911i | −1.02921 | − | 0.302203i | ||||
\(29\) | −9.45314 | −1.75540 | −0.877702 | − | 0.479206i | \(-0.840925\pi\) | ||||
−0.877702 | + | 0.479206i | \(0.840925\pi\) | |||||||
\(30\) | −5.80496 | −1.05984 | ||||||||
\(31\) | −6.77696 | − | 1.98990i | −1.21718 | − | 0.357396i | −0.390781 | − | 0.920484i | \(-0.627795\pi\) |
−0.826397 | + | 0.563088i | \(0.809613\pi\) | |||||||
\(32\) | 6.29469 | − | 4.04535i | 1.11275 | − | 0.715123i | ||||
\(33\) | −1.66725 | + | 3.65077i | −0.290231 | + | 0.635517i | ||||
\(34\) | 3.92651 | − | 8.59785i | 0.673390 | − | 1.47452i | ||||
\(35\) | 8.99398 | − | 5.78008i | 1.52026 | − | 0.977012i | ||||
\(36\) | 3.37221 | + | 0.990169i | 0.562034 | + | 0.165028i | ||||
\(37\) | −0.210230 | −0.0345617 | −0.0172808 | − | 0.999851i | \(-0.505501\pi\) | ||||
−0.0172808 | + | 0.999851i | \(0.505501\pi\) | |||||||
\(38\) | 0.296973 | 0.0481754 | ||||||||
\(39\) | 1.57639 | + | 0.462871i | 0.252425 | + | 0.0741187i | ||||
\(40\) | −0.274788 | + | 1.91119i | −0.0434478 | + | 0.302186i | ||||
\(41\) | 1.99866 | + | 2.30658i | 0.312138 | + | 0.360227i | 0.890042 | − | 0.455878i | \(-0.150675\pi\) |
−0.577904 | + | 0.816105i | \(0.696129\pi\) | |||||||
\(42\) | 5.92901 | − | 1.74091i | 0.914866 | − | 0.268629i | ||||
\(43\) | −2.71169 | − | 3.12945i | −0.413529 | − | 0.477237i | 0.510326 | − | 0.859981i | \(-0.329525\pi\) |
−0.923855 | + | 0.382744i | \(0.874979\pi\) | |||||||
\(44\) | −5.95136 | − | 3.82471i | −0.897202 | − | 0.576597i | ||||
\(45\) | −5.56909 | + | 3.57904i | −0.830191 | + | 0.533531i | ||||
\(46\) | −0.0699596 | + | 0.486580i | −0.0103150 | + | 0.0717423i | ||||
\(47\) | 4.08294 | + | 2.62395i | 0.595558 | + | 0.382742i | 0.803417 | − | 0.595417i | \(-0.203013\pi\) |
−0.207859 | + | 0.978159i | \(0.566649\pi\) | |||||||
\(48\) | −1.79791 | + | 3.93686i | −0.259505 | + | 0.568237i | ||||
\(49\) | −2.86870 | + | 3.31066i | −0.409815 | + | 0.472951i | ||||
\(50\) | 6.33797 | + | 7.31440i | 0.896324 | + | 1.03441i | ||||
\(51\) | 0.669096 | + | 4.65366i | 0.0936921 | + | 0.651643i | ||||
\(52\) | −1.20303 | + | 2.63427i | −0.166830 | + | 0.365307i | ||||
\(53\) | 6.51756 | − | 7.52166i | 0.895255 | − | 1.03318i | −0.103999 | − | 0.994577i | \(-0.533164\pi\) |
0.999255 | − | 0.0386023i | \(-0.0122905\pi\) | |||||||
\(54\) | −8.94380 | + | 2.62614i | −1.21710 | + | 0.357372i | ||||
\(55\) | 12.7855 | − | 3.75415i | 1.72399 | − | 0.506209i | ||||
\(56\) | −0.292509 | − | 2.03444i | −0.0390882 | − | 0.271864i | ||||
\(57\) | −0.124268 | + | 0.0798619i | −0.0164596 | + | 0.0105780i | ||||
\(58\) | 7.53581 | + | 16.5011i | 0.989501 | + | 2.16670i | ||||
\(59\) | −12.2983 | − | 3.61111i | −1.60111 | − | 0.470127i | −0.645252 | − | 0.763970i | \(-0.723248\pi\) |
−0.955854 | + | 0.293843i | \(0.905066\pi\) | |||||||
\(60\) | 2.11430 | + | 4.62967i | 0.272955 | + | 0.597688i | ||||
\(61\) | 1.78213 | − | 12.3950i | 0.228178 | − | 1.58701i | −0.477599 | − | 0.878578i | \(-0.658493\pi\) |
0.705777 | − | 0.708434i | \(-0.250598\pi\) | |||||||
\(62\) | 1.92892 | + | 13.4160i | 0.244974 | + | 1.70383i | ||||
\(63\) | 4.61474 | − | 5.32570i | 0.581403 | − | 0.670975i | ||||
\(64\) | −4.45062 | − | 2.86024i | −0.556327 | − | 0.357530i | ||||
\(65\) | −2.26601 | − | 4.96187i | −0.281064 | − | 0.615444i | ||||
\(66\) | 7.70176 | 0.948021 | ||||||||
\(67\) | 1.38719 | + | 8.06695i | 0.169472 | + | 0.985535i | ||||
\(68\) | −8.28723 | −1.00497 | ||||||||
\(69\) | −0.101577 | − | 0.222422i | −0.0122284 | − | 0.0267764i | ||||
\(70\) | −17.2593 | − | 11.0919i | −2.06288 | − | 1.32573i | ||||
\(71\) | −0.0591972 | + | 0.0683172i | −0.00702541 | + | 0.00810776i | −0.759251 | − | 0.650797i | \(-0.774435\pi\) |
0.752226 | + | 0.658905i | \(0.228980\pi\) | |||||||
\(72\) | 0.181122 | + | 1.25973i | 0.0213454 | + | 0.148461i | ||||
\(73\) | −1.15465 | + | 8.03075i | −0.135141 | + | 0.939929i | 0.803567 | + | 0.595215i | \(0.202933\pi\) |
−0.938708 | + | 0.344714i | \(0.887976\pi\) | |||||||
\(74\) | 0.167591 | + | 0.366972i | 0.0194820 | + | 0.0426597i | ||||
\(75\) | −4.61909 | − | 1.35629i | −0.533367 | − | 0.156611i | ||||
\(76\) | −0.108164 | − | 0.236847i | −0.0124073 | − | 0.0271682i | ||||
\(77\) | −11.9328 | + | 7.66875i | −1.35987 | + | 0.873935i | ||||
\(78\) | −0.448689 | − | 3.12070i | −0.0508040 | − | 0.353349i | ||||
\(79\) | 4.53757 | − | 1.33235i | 0.510517 | − | 0.149901i | −0.0163217 | − | 0.999867i | \(-0.505196\pi\) |
0.526838 | + | 0.849966i | \(0.323377\pi\) | |||||||
\(80\) | 13.7874 | − | 4.04835i | 1.54148 | − | 0.452619i | ||||
\(81\) | −1.06751 | + | 1.23197i | −0.118612 | + | 0.136885i | ||||
\(82\) | 2.43301 | − | 5.32755i | 0.268681 | − | 0.588330i | ||||
\(83\) | 1.11684 | + | 7.76780i | 0.122589 | + | 0.852627i | 0.954605 | + | 0.297875i | \(0.0962778\pi\) |
−0.832016 | + | 0.554752i | \(0.812813\pi\) | |||||||
\(84\) | −3.54793 | − | 4.09453i | −0.387110 | − | 0.446749i | ||||
\(85\) | 10.2222 | − | 11.7970i | 1.10875 | − | 1.27957i | ||||
\(86\) | −3.30099 | + | 7.22817i | −0.355955 | + | 0.779433i | ||||
\(87\) | −7.59082 | − | 4.87832i | −0.813821 | − | 0.523011i | ||||
\(88\) | 0.364577 | − | 2.53569i | 0.0388640 | − | 0.270305i | ||||
\(89\) | −13.6813 | + | 8.79241i | −1.45021 | + | 0.931993i | −0.450989 | + | 0.892530i | \(0.648929\pi\) |
−0.999221 | + | 0.0394638i | \(0.987435\pi\) | |||||||
\(90\) | 10.6870 | + | 6.86812i | 1.12651 | + | 0.723963i | ||||
\(91\) | 3.80250 | + | 4.38832i | 0.398611 | + | 0.460021i | ||||
\(92\) | 0.413546 | − | 0.121428i | 0.0431152 | − | 0.0126598i | ||||
\(93\) | −4.41497 | − | 5.09515i | −0.457811 | − | 0.528342i | ||||
\(94\) | 1.32546 | − | 9.21881i | 0.136711 | − | 0.950848i | ||||
\(95\) | 0.470575 | + | 0.138173i | 0.0482800 | + | 0.0141763i | ||||
\(96\) | 7.14221 | 0.728949 | ||||||||
\(97\) | 1.98762 | 0.201812 | 0.100906 | − | 0.994896i | \(-0.467826\pi\) | ||||
0.100906 | + | 0.994896i | \(0.467826\pi\) | |||||||
\(98\) | 8.06585 | + | 2.36835i | 0.814774 | + | 0.239239i | ||||
\(99\) | 7.38882 | − | 4.74851i | 0.742604 | − | 0.477243i | ||||
\(100\) | 3.52507 | − | 7.71883i | 0.352507 | − | 0.771883i | ||||
\(101\) | −3.19667 | + | 6.99972i | −0.318080 | + | 0.696498i | −0.999369 | − | 0.0355163i | \(-0.988692\pi\) |
0.681289 | + | 0.732015i | \(0.261420\pi\) | |||||||
\(102\) | 7.58991 | − | 4.87774i | 0.751513 | − | 0.482968i | ||||
\(103\) | 2.22090 | + | 0.652116i | 0.218832 | + | 0.0642549i | 0.389311 | − | 0.921106i | \(-0.372713\pi\) |
−0.170479 | + | 0.985361i | \(0.554531\pi\) | |||||||
\(104\) | −1.04868 | −0.102832 | ||||||||
\(105\) | 10.2049 | 0.995900 | ||||||||
\(106\) | −18.3252 | − | 5.38077i | −1.77990 | − | 0.522627i | ||||
\(107\) | 1.79543 | − | 12.4875i | 0.173571 | − | 1.20721i | −0.697694 | − | 0.716396i | \(-0.745790\pi\) |
0.871264 | − | 0.490814i | \(-0.163300\pi\) | |||||||
\(108\) | 5.35198 | + | 6.17651i | 0.514994 | + | 0.594335i | ||||
\(109\) | 15.6766 | − | 4.60307i | 1.50155 | − | 0.440894i | 0.575341 | − | 0.817913i | \(-0.304869\pi\) |
0.926205 | + | 0.377019i | \(0.123051\pi\) | |||||||
\(110\) | −16.7454 | − | 19.3252i | −1.59661 | − | 1.84259i | ||||
\(111\) | −0.168814 | − | 0.108490i | −0.0160231 | − | 0.0102974i | ||||
\(112\) | −12.8679 | + | 8.26973i | −1.21591 | + | 0.781416i | ||||
\(113\) | 0.128861 | − | 0.896251i | 0.0121223 | − | 0.0843122i | −0.982862 | − | 0.184342i | \(-0.940985\pi\) |
0.994984 | + | 0.100030i | \(0.0318938\pi\) | |||||||
\(114\) | 0.238468 | + | 0.153254i | 0.0223345 | + | 0.0143535i | ||||
\(115\) | −0.337248 | + | 0.738470i | −0.0314485 | + | 0.0688627i | ||||
\(116\) | 10.4155 | − | 12.0202i | 0.967059 | − | 1.11605i | ||||
\(117\) | −2.35452 | − | 2.71726i | −0.217675 | − | 0.251211i | ||||
\(118\) | 3.50047 | + | 24.3463i | 0.322244 | + | 2.24126i | ||||
\(119\) | −6.90268 | + | 15.1148i | −0.632768 | + | 1.38557i | ||||
\(120\) | −1.20693 | + | 1.39287i | −0.110177 | + | 0.127151i | ||||
\(121\) | −6.40876 | + | 1.88178i | −0.582614 | + | 0.171071i | ||||
\(122\) | −23.0570 | + | 6.77013i | −2.08748 | + | 0.612939i | ||||
\(123\) | 0.414597 | + | 2.88358i | 0.0373829 | + | 0.260004i | ||||
\(124\) | 9.99717 | − | 6.42479i | 0.897772 | − | 0.576963i | ||||
\(125\) | 0.0572238 | + | 0.125303i | 0.00511825 | + | 0.0112074i | ||||
\(126\) | −12.9751 | − | 3.80985i | −1.15592 | − | 0.339408i | ||||
\(127\) | −1.79814 | − | 3.93739i | −0.159559 | − | 0.349386i | 0.812920 | − | 0.582376i | \(-0.197877\pi\) |
−0.972479 | + | 0.232989i | \(0.925149\pi\) | |||||||
\(128\) | 0.684919 | − | 4.76371i | 0.0605388 | − | 0.421057i | ||||
\(129\) | −0.562505 | − | 3.91231i | −0.0495258 | − | 0.344460i | ||||
\(130\) | −6.85488 | + | 7.91096i | −0.601213 | + | 0.693837i | ||||
\(131\) | 15.1221 | + | 9.71836i | 1.32122 | + | 0.849097i | 0.995351 | − | 0.0963172i | \(-0.0307063\pi\) |
0.325870 | + | 0.945414i | \(0.394343\pi\) | |||||||
\(132\) | −2.80516 | − | 6.14244i | −0.244158 | − | 0.534631i | ||||
\(133\) | −0.522069 | −0.0452692 | ||||||||
\(134\) | 12.9756 | − | 8.85222i | 1.12092 | − | 0.764715i | ||||
\(135\) | −15.3940 | −1.32490 | ||||||||
\(136\) | −1.24664 | − | 2.72976i | −0.106898 | − | 0.234075i | ||||
\(137\) | −6.24620 | − | 4.01419i | −0.533649 | − | 0.342955i | 0.245901 | − | 0.969295i | \(-0.420916\pi\) |
−0.779550 | + | 0.626339i | \(0.784552\pi\) | |||||||
\(138\) | −0.307278 | + | 0.354618i | −0.0261573 | + | 0.0301871i | ||||
\(139\) | 0.242425 | + | 1.68610i | 0.0205622 | + | 0.143013i | 0.997516 | − | 0.0704362i | \(-0.0224391\pi\) |
−0.976954 | + | 0.213450i | \(0.931530\pi\) | |||||||
\(140\) | −2.55995 | + | 17.8049i | −0.216356 | + | 1.50479i | ||||
\(141\) | 1.92448 | + | 4.21403i | 0.162071 | + | 0.354885i | ||||
\(142\) | 0.166443 | + | 0.0488721i | 0.0139676 | + | 0.00410125i | ||||
\(143\) | 3.00644 | + | 6.58318i | 0.251411 | + | 0.550514i | ||||
\(144\) | 7.96786 | − | 5.12063i | 0.663988 | − | 0.426719i | ||||
\(145\) | 4.26352 | + | 29.6534i | 0.354066 | + | 2.46258i | ||||
\(146\) | 14.9387 | − | 4.38640i | 1.23634 | − | 0.363021i | ||||
\(147\) | −4.01203 | + | 1.17804i | −0.330907 | + | 0.0971629i | ||||
\(148\) | 0.231634 | − | 0.267319i | 0.0190402 | − | 0.0219735i | ||||
\(149\) | 6.34126 | − | 13.8854i | 0.519496 | − | 1.13754i | −0.450134 | − | 0.892961i | \(-0.648624\pi\) |
0.969630 | − | 0.244577i | \(-0.0786490\pi\) | |||||||
\(150\) | 1.31473 | + | 9.14415i | 0.107347 | + | 0.746617i | ||||
\(151\) | −7.77283 | − | 8.97033i | −0.632544 | − | 0.729995i | 0.345494 | − | 0.938421i | \(-0.387711\pi\) |
−0.978038 | + | 0.208426i | \(0.933166\pi\) | |||||||
\(152\) | 0.0617447 | − | 0.0712572i | 0.00500816 | − | 0.00577972i | ||||
\(153\) | 4.27415 | − | 9.35909i | 0.345545 | − | 0.756638i | ||||
\(154\) | 22.8989 | + | 14.7162i | 1.84525 | + | 1.18587i | ||||
\(155\) | −3.18556 | + | 22.1560i | −0.255870 | + | 1.77961i | ||||
\(156\) | −2.32545 | + | 1.49448i | −0.186185 | + | 0.119654i | ||||
\(157\) | 1.91845 | + | 1.23291i | 0.153109 | + | 0.0983973i | 0.614952 | − | 0.788564i | \(-0.289175\pi\) |
−0.461843 | + | 0.886962i | \(0.652812\pi\) | |||||||
\(158\) | −5.94295 | − | 6.85853i | −0.472796 | − | 0.545636i | ||||
\(159\) | 9.11514 | − | 2.67645i | 0.722877 | − | 0.212256i | ||||
\(160\) | −15.5288 | − | 17.9212i | −1.22766 | − | 1.41679i | ||||
\(161\) | 0.122987 | − | 0.855393i | 0.00969273 | − | 0.0674144i | ||||
\(162\) | 3.00148 | + | 0.881313i | 0.235818 | + | 0.0692425i | ||||
\(163\) | −4.08535 | −0.319989 | −0.159995 | − | 0.987118i | \(-0.551148\pi\) | ||||
−0.159995 | + | 0.987118i | \(0.551148\pi\) | |||||||
\(164\) | −5.13508 | −0.400982 | ||||||||
\(165\) | 12.2040 | + | 3.58342i | 0.950080 | + | 0.278969i | ||||
\(166\) | 12.6689 | − | 8.14183i | 0.983300 | − | 0.631928i | ||||
\(167\) | −3.93362 | + | 8.61342i | −0.304392 | + | 0.666526i | −0.998580 | − | 0.0532675i | \(-0.983036\pi\) |
0.694188 | + | 0.719794i | \(0.255764\pi\) | |||||||
\(168\) | 0.814998 | − | 1.78460i | 0.0628785 | − | 0.137685i | ||||
\(169\) | −8.44399 | + | 5.42662i | −0.649537 | + | 0.417432i | ||||
\(170\) | −28.7414 | − | 8.43923i | −2.20436 | − | 0.647260i | ||||
\(171\) | 0.323266 | 0.0247208 | ||||||||
\(172\) | 6.96703 | 0.531231 | ||||||||
\(173\) | 5.39745 | + | 1.58483i | 0.410361 | + | 0.120493i | 0.480396 | − | 0.877052i | \(-0.340493\pi\) |
−0.0700353 | + | 0.997545i | \(0.522311\pi\) | |||||||
\(174\) | −2.46424 | + | 17.1392i | −0.186814 | + | 1.29932i | ||||
\(175\) | −11.1420 | − | 12.8585i | −0.842252 | − | 0.972011i | ||||
\(176\) | −18.2925 | + | 5.37117i | −1.37885 | + | 0.404867i | ||||
\(177\) | −8.01196 | − | 9.24630i | −0.602216 | − | 0.694994i | ||||
\(178\) | 26.2541 | + | 16.8725i | 1.96783 | + | 1.26465i | ||||
\(179\) | 15.9030 | − | 10.2203i | 1.18865 | − | 0.763899i | 0.211693 | − | 0.977336i | \(-0.432102\pi\) |
0.976957 | + | 0.213437i | \(0.0684660\pi\) | |||||||
\(180\) | 1.58513 | − | 11.0248i | 0.118148 | − | 0.821741i | ||||
\(181\) | 7.19238 | + | 4.62226i | 0.534605 | + | 0.343570i | 0.779926 | − | 0.625872i | \(-0.215257\pi\) |
−0.245321 | + | 0.969442i | \(0.578893\pi\) | |||||||
\(182\) | 4.62887 | − | 10.1358i | 0.343114 | − | 0.751316i | ||||
\(183\) | 7.82750 | − | 9.03341i | 0.578625 | − | 0.667769i | ||||
\(184\) | 0.102207 | + | 0.117953i | 0.00753479 | + | 0.00869562i | ||||
\(185\) | 0.0948173 | + | 0.659469i | 0.00697111 | + | 0.0484851i | ||||
\(186\) | −5.37443 | + | 11.7684i | −0.394073 | + | 0.862899i | ||||
\(187\) | −13.5623 | + | 15.6518i | −0.991775 | + | 1.14457i | ||||
\(188\) | −7.83511 | + | 2.30059i | −0.571434 | + | 0.167788i | ||||
\(189\) | 15.7229 | − | 4.61667i | 1.14368 | − | 0.335813i | ||||
\(190\) | −0.133940 | − | 0.931570i | −0.00971700 | − | 0.0675832i | ||||
\(191\) | 2.64534 | − | 1.70006i | 0.191410 | − | 0.123012i | −0.441426 | − | 0.897298i | \(-0.645527\pi\) |
0.632836 | + | 0.774286i | \(0.281891\pi\) | |||||||
\(192\) | −2.09778 | − | 4.59351i | −0.151395 | − | 0.331508i | ||||
\(193\) | 12.1572 | + | 3.56968i | 0.875094 | + | 0.256951i | 0.688281 | − | 0.725444i | \(-0.258366\pi\) |
0.186814 | + | 0.982395i | \(0.440184\pi\) | |||||||
\(194\) | −1.58448 | − | 3.46953i | −0.113759 | − | 0.249097i | ||||
\(195\) | 0.740995 | − | 5.15373i | 0.0530637 | − | 0.369066i | ||||
\(196\) | −1.04892 | − | 7.29542i | −0.0749231 | − | 0.521102i | ||||
\(197\) | 4.70267 | − | 5.42717i | 0.335051 | − | 0.386670i | −0.563076 | − | 0.826405i | \(-0.690382\pi\) |
0.898127 | + | 0.439735i | \(0.144928\pi\) | |||||||
\(198\) | −14.1790 | − | 9.11232i | −1.00766 | − | 0.647584i | ||||
\(199\) | −6.26816 | − | 13.7253i | −0.444338 | − | 0.972964i | −0.990782 | − | 0.135468i | \(-0.956746\pi\) |
0.546444 | − | 0.837496i | \(-0.315981\pi\) | |||||||
\(200\) | 3.07280 | 0.217280 | ||||||||
\(201\) | −3.04907 | + | 7.19358i | −0.215065 | + | 0.507396i | ||||
\(202\) | 14.7668 | 1.03899 | ||||||||
\(203\) | −13.2477 | − | 29.0085i | −0.929809 | − | 2.03600i | ||||
\(204\) | −6.65460 | − | 4.27665i | −0.465915 | − | 0.299425i | ||||
\(205\) | 6.33404 | − | 7.30987i | 0.442389 | − | 0.510544i | ||||
\(206\) | −0.632135 | − | 4.39660i | −0.0440429 | − | 0.306325i | ||||
\(207\) | −0.0761537 | + | 0.529661i | −0.00529305 | + | 0.0368140i | ||||
\(208\) | 3.24204 | + | 7.09909i | 0.224795 | + | 0.492233i | ||||
\(209\) | −0.624338 | − | 0.183322i | −0.0431864 | − | 0.0126807i | ||||
\(210\) | −8.13513 | − | 17.8135i | −0.561377 | − | 1.22924i | ||||
\(211\) | −4.40588 | + | 2.83149i | −0.303313 | + | 0.194928i | −0.683440 | − | 0.730007i | \(-0.739517\pi\) |
0.380126 | + | 0.924935i | \(0.375880\pi\) | |||||||
\(212\) | 2.38310 | + | 16.5749i | 0.163672 | + | 1.13837i | ||||
\(213\) | −0.0827903 | + | 0.0243094i | −0.00567270 | + | 0.00166565i | ||||
\(214\) | −23.2290 | + | 6.82066i | −1.58791 | + | 0.466251i | ||||
\(215\) | −8.59373 | + | 9.91769i | −0.586087 | + | 0.676381i | ||||
\(216\) | −1.22941 | + | 2.69203i | −0.0836507 | + | 0.183170i | ||||
\(217\) | −3.39099 | − | 23.5849i | −0.230195 | − | 1.60104i | ||||
\(218\) | −20.5320 | − | 23.6952i | −1.39060 | − | 1.60484i | ||||
\(219\) | −5.07147 | + | 5.85279i | −0.342698 | + | 0.395495i | ||||
\(220\) | −9.31352 | + | 20.3938i | −0.627917 | + | 1.37495i | ||||
\(221\) | 7.13209 | + | 4.58352i | 0.479756 | + | 0.308321i | ||||
\(222\) | −0.0548029 | + | 0.381162i | −0.00367813 | + | 0.0255819i | ||||
\(223\) | −3.41537 | + | 2.19493i | −0.228710 | + | 0.146983i | −0.649978 | − | 0.759953i | \(-0.725222\pi\) |
0.421267 | + | 0.906936i | \(0.361585\pi\) | |||||||
\(224\) | 21.2352 | + | 13.6471i | 1.41884 | + | 0.911833i | ||||
\(225\) | 6.89912 | + | 7.96201i | 0.459941 | + | 0.530800i | ||||
\(226\) | −1.66719 | + | 0.489532i | −0.110900 | + | 0.0325632i | ||||
\(227\) | 4.57279 | + | 5.27728i | 0.303507 | + | 0.350265i | 0.886931 | − | 0.461902i | \(-0.152833\pi\) |
−0.583424 | + | 0.812168i | \(0.698287\pi\) | |||||||
\(228\) | 0.0353702 | − | 0.246005i | 0.00234245 | − | 0.0162921i | ||||
\(229\) | −17.5677 | − | 5.15834i | −1.16090 | − | 0.340872i | −0.356121 | − | 0.934440i | \(-0.615901\pi\) |
−0.804784 | + | 0.593568i | \(0.797719\pi\) | |||||||
\(230\) | 1.55790 | 0.102725 | ||||||||
\(231\) | −13.5395 | −0.890831 | ||||||||
\(232\) | 5.52617 | + | 1.62263i | 0.362811 | + | 0.106531i | ||||
\(233\) | 7.87730 | − | 5.06243i | 0.516059 | − | 0.331651i | −0.256552 | − | 0.966530i | \(-0.582587\pi\) |
0.772611 | + | 0.634879i | \(0.218950\pi\) | |||||||
\(234\) | −2.86620 | + | 6.27611i | −0.187370 | + | 0.410282i | ||||
\(235\) | 6.38955 | − | 13.9912i | 0.416808 | − | 0.912683i | ||||
\(236\) | 18.1421 | − | 11.6592i | 1.18095 | − | 0.758951i | ||||
\(237\) | 4.33121 | + | 1.27176i | 0.281342 | + | 0.0826095i | ||||
\(238\) | 31.8865 | 2.06690 | ||||||||
\(239\) | −6.22139 | −0.402428 | −0.201214 | − | 0.979547i | \(-0.564489\pi\) | ||||
−0.201214 | + | 0.979547i | \(0.564489\pi\) | |||||||
\(240\) | 13.1604 | + | 3.86424i | 0.849499 | + | 0.249435i | ||||
\(241\) | −0.383421 | + | 2.66675i | −0.0246983 | + | 0.171781i | −0.998437 | − | 0.0558876i | \(-0.982201\pi\) |
0.973739 | + | 0.227668i | \(0.0731102\pi\) | |||||||
\(242\) | 8.39369 | + | 9.68683i | 0.539567 | + | 0.622693i | ||||
\(243\) | −15.4750 | + | 4.54388i | −0.992724 | + | 0.291490i | ||||
\(244\) | 13.7973 | + | 15.9229i | 0.883282 | + | 1.01936i | ||||
\(245\) | 11.6790 | + | 7.50563i | 0.746143 | + | 0.479517i | ||||
\(246\) | 4.70299 | − | 3.02243i | 0.299852 | − | 0.192703i | ||||
\(247\) | −0.0379082 | + | 0.263657i | −0.00241204 | + | 0.0167761i | ||||
\(248\) | 3.62014 | + | 2.32653i | 0.229879 | + | 0.147735i | ||||
\(249\) | −3.11178 | + | 6.81385i | −0.197201 | + | 0.431810i | ||||
\(250\) | 0.173107 | − | 0.199776i | 0.0109483 | − | 0.0126350i | ||||
\(251\) | 9.05314 | + | 10.4479i | 0.571429 | + | 0.659465i | 0.965740 | − | 0.259513i | \(-0.0835619\pi\) |
−0.394310 | + | 0.918977i | \(0.629016\pi\) | |||||||
\(252\) | 1.68735 | + | 11.7358i | 0.106293 | + | 0.739285i | ||||
\(253\) | 0.447446 | − | 0.979770i | 0.0281307 | − | 0.0615976i | ||||
\(254\) | −5.43955 | + | 6.27758i | −0.341308 | + | 0.393890i | ||||
\(255\) | 14.2962 | − | 4.19775i | 0.895265 | − | 0.262873i | ||||
\(256\) | −19.0137 | + | 5.58293i | −1.18836 | + | 0.348933i | ||||
\(257\) | −1.03527 | − | 7.20045i | −0.0645783 | − | 0.449152i | −0.996298 | − | 0.0859724i | \(-0.972600\pi\) |
0.931719 | − | 0.363179i | \(-0.118309\pi\) | |||||||
\(258\) | −6.38080 | + | 4.10069i | −0.397251 | + | 0.255298i | ||||
\(259\) | −0.294619 | − | 0.645126i | −0.0183067 | − | 0.0400862i | ||||
\(260\) | 8.80599 | + | 2.58567i | 0.546124 | + | 0.160357i | ||||
\(261\) | 8.20302 | + | 17.9621i | 0.507754 | + | 1.11183i | ||||
\(262\) | 4.90915 | − | 34.1439i | 0.303288 | − | 2.10942i | ||||
\(263\) | 2.91480 | + | 20.2729i | 0.179734 | + | 1.25008i | 0.857378 | + | 0.514688i | \(0.172092\pi\) |
−0.677643 | + | 0.735391i | \(0.736999\pi\) | |||||||
\(264\) | 1.60130 | − | 1.84800i | 0.0985533 | − | 0.113737i | ||||
\(265\) | −26.5341 | − | 17.0524i | −1.62998 | − | 1.04752i | ||||
\(266\) | 0.416181 | + | 0.911309i | 0.0255177 | + | 0.0558760i | ||||
\(267\) | −15.5233 | −0.950012 | ||||||||
\(268\) | −11.7860 | − | 7.12434i | −0.719943 | − | 0.435188i | ||||
\(269\) | 6.18415 | 0.377054 | 0.188527 | − | 0.982068i | \(-0.439629\pi\) | ||||
0.188527 | + | 0.982068i | \(0.439629\pi\) | |||||||
\(270\) | 12.2717 | + | 26.8713i | 0.746831 | + | 1.63533i | ||||
\(271\) | 6.63095 | + | 4.26145i | 0.402801 | + | 0.258865i | 0.726319 | − | 0.687357i | \(-0.241229\pi\) |
−0.323518 | + | 0.946222i | \(0.604866\pi\) | |||||||
\(272\) | −14.6252 | + | 16.8783i | −0.886780 | + | 1.02340i | ||||
\(273\) | 0.788781 | + | 5.48609i | 0.0477392 | + | 0.332033i | ||||
\(274\) | −2.02773 | + | 14.1032i | −0.122500 | + | 0.852006i | ||||
\(275\) | −8.80935 | − | 19.2898i | −0.531224 | − | 1.16322i | ||||
\(276\) | 0.394739 | + | 0.115906i | 0.0237605 | + | 0.00697671i | ||||
\(277\) | −9.86976 | − | 21.6118i | −0.593016 | − | 1.29852i | −0.933602 | − | 0.358311i | \(-0.883353\pi\) |
0.340586 | − | 0.940213i | \(-0.389375\pi\) | |||||||
\(278\) | 2.74996 | − | 1.76729i | 0.164932 | − | 0.105995i | ||||
\(279\) | 2.09971 | + | 14.6038i | 0.125706 | + | 0.874306i | ||||
\(280\) | −6.24989 | + | 1.83513i | −0.373503 | + | 0.109670i | ||||
\(281\) | −13.6183 | + | 3.99869i | −0.812399 | + | 0.238542i | −0.661440 | − | 0.749998i | \(-0.730054\pi\) |
−0.150959 | + | 0.988540i | \(0.548236\pi\) | |||||||
\(282\) | 5.82174 | − | 6.71864i | 0.346679 | − | 0.400089i | ||||
\(283\) | 2.39697 | − | 5.24862i | 0.142485 | − | 0.311998i | −0.824913 | − | 0.565260i | \(-0.808776\pi\) |
0.967398 | + | 0.253261i | \(0.0815033\pi\) | |||||||
\(284\) | −0.0216451 | − | 0.150545i | −0.00128440 | − | 0.00893319i | ||||
\(285\) | 0.306564 | + | 0.353794i | 0.0181593 | + | 0.0209569i | ||||
\(286\) | 9.09476 | − | 10.4959i | 0.537784 | − | 0.620636i | ||||
\(287\) | −4.27716 | + | 9.36568i | −0.252473 | + | 0.552838i | ||||
\(288\) | −13.1489 | − | 8.45029i | −0.774806 | − | 0.497938i | ||||
\(289\) | −1.03332 | + | 7.18688i | −0.0607834 | + | 0.422758i | ||||
\(290\) | 48.3634 | − | 31.0813i | 2.84000 | − | 1.82515i | ||||
\(291\) | 1.59605 | + | 1.02572i | 0.0935618 | + | 0.0601285i | ||||
\(292\) | −8.93934 | − | 10.3165i | −0.523135 | − | 0.603730i | ||||
\(293\) | 5.98076 | − | 1.75611i | 0.349400 | − | 0.102593i | −0.102323 | − | 0.994751i | \(-0.532628\pi\) |
0.451723 | + | 0.892158i | \(0.350809\pi\) | |||||||
\(294\) | 5.25464 | + | 6.06418i | 0.306457 | + | 0.353670i | ||||
\(295\) | −5.78091 | + | 40.2071i | −0.336578 | + | 2.34095i | ||||
\(296\) | 0.122898 | + | 0.0360860i | 0.00714328 | + | 0.00209746i | ||||
\(297\) | 20.4240 | 1.18512 | ||||||||
\(298\) | −29.2931 | −1.69690 | ||||||||
\(299\) | −0.423063 | − | 0.124222i | −0.0244664 | − | 0.00718397i | ||||
\(300\) | 6.81394 | − | 4.37906i | 0.393403 | − | 0.252825i | ||||
\(301\) | 5.80305 | − | 12.7069i | 0.334482 | − | 0.732414i | ||||
\(302\) | −9.46203 | + | 20.7190i | −0.544479 | + | 1.19224i | ||||
\(303\) | −6.17913 | + | 3.97109i | −0.354982 | + | 0.228133i | ||||
\(304\) | −0.673265 | − | 0.197688i | −0.0386144 | − | 0.0113382i | ||||
\(305\) | −39.6854 | −2.27238 | ||||||||
\(306\) | −19.7442 | −1.12870 | ||||||||
\(307\) | −20.5215 | − | 6.02566i | −1.17122 | − | 0.343903i | −0.362440 | − | 0.932007i | \(-0.618056\pi\) |
−0.808785 | + | 0.588105i | \(0.799874\pi\) | |||||||
\(308\) | 3.39643 | − | 23.6227i | 0.193530 | − | 1.34603i | ||||
\(309\) | 1.44685 | + | 1.66975i | 0.0823082 | + | 0.0949887i | ||||
\(310\) | 41.2144 | − | 12.1016i | 2.34082 | − | 0.687326i | ||||
\(311\) | −2.49852 | − | 2.88345i | −0.141678 | − | 0.163506i | 0.680476 | − | 0.732771i | \(-0.261773\pi\) |
−0.822154 | + | 0.569265i | \(0.807228\pi\) | |||||||
\(312\) | −0.842085 | − | 0.541175i | −0.0476737 | − | 0.0306380i | ||||
\(313\) | 3.55971 | − | 2.28769i | 0.201207 | − | 0.129308i | −0.436158 | − | 0.899870i | \(-0.643661\pi\) |
0.637364 | + | 0.770563i | \(0.280025\pi\) | |||||||
\(314\) | 0.622796 | − | 4.33164i | 0.0351464 | − | 0.244449i | ||||
\(315\) | −18.7874 | − | 12.0739i | −1.05855 | − | 0.680290i | ||||
\(316\) | −3.30537 | + | 7.23776i | −0.185942 | + | 0.407156i | ||||
\(317\) | 5.55718 | − | 6.41333i | 0.312122 | − | 0.360208i | −0.577914 | − | 0.816098i | \(-0.696133\pi\) |
0.890037 | + | 0.455889i | \(0.150679\pi\) | |||||||
\(318\) | −11.9383 | − | 13.7775i | −0.669466 | − | 0.772605i | ||||
\(319\) | −5.65665 | − | 39.3429i | −0.316711 | − | 2.20278i | ||||
\(320\) | −6.96494 | + | 15.2511i | −0.389352 | + | 0.852562i | ||||
\(321\) | 7.88592 | − | 9.10084i | 0.440149 | − | 0.507959i | ||||
\(322\) | −1.59119 | + | 0.467216i | −0.0886736 | + | 0.0260369i | ||||
\(323\) | −0.731374 | + | 0.214751i | −0.0406947 | + | 0.0119490i | ||||
\(324\) | −0.390327 | − | 2.71478i | −0.0216848 | − | 0.150821i | ||||
\(325\) | −7.30287 | + | 4.69327i | −0.405090 | + | 0.260336i | ||||
\(326\) | 3.25674 | + | 7.13126i | 0.180374 | + | 0.394964i | ||||
\(327\) | 14.9637 | + | 4.39373i | 0.827492 | + | 0.242974i | ||||
\(328\) | −0.772464 | − | 1.69146i | −0.0426522 | − | 0.0933953i | ||||
\(329\) | −2.33013 | + | 16.2064i | −0.128464 | + | 0.893487i | ||||
\(330\) | −3.47362 | − | 24.1595i | −0.191216 | − | 1.32994i | ||||
\(331\) | 10.0364 | − | 11.5826i | 0.551649 | − | 0.636637i | −0.409618 | − | 0.912257i | \(-0.634338\pi\) |
0.961267 | + | 0.275620i | \(0.0888833\pi\) | |||||||
\(332\) | −11.1077 | − | 7.13850i | −0.609616 | − | 0.391776i | ||||
\(333\) | 0.182429 | + | 0.399463i | 0.00999703 | + | 0.0218904i | ||||
\(334\) | 18.1711 | 0.994279 | ||||||||
\(335\) | 24.6795 | − | 7.98978i | 1.34838 | − | 0.436528i | ||||
\(336\) | −14.6005 | −0.796523 | ||||||||
\(337\) | 9.63638 | + | 21.1007i | 0.524927 | + | 1.14943i | 0.967540 | + | 0.252717i | \(0.0813241\pi\) |
−0.442613 | + | 0.896713i | \(0.645949\pi\) | |||||||
\(338\) | 16.2039 | + | 10.4136i | 0.881375 | + | 0.566426i | ||||
\(339\) | 0.565988 | − | 0.653185i | 0.0307402 | − | 0.0354761i | ||||
\(340\) | 3.73767 | + | 25.9961i | 0.202704 | + | 1.40984i | ||||
\(341\) | 4.22645 | − | 29.3956i | 0.228875 | − | 1.59186i | ||||
\(342\) | −0.257700 | − | 0.564284i | −0.0139348 | − | 0.0305130i | ||||
\(343\) | 8.47855 | + | 2.48953i | 0.457799 | + | 0.134422i | ||||
\(344\) | 1.04804 | + | 2.29489i | 0.0565066 | + | 0.123732i | ||||
\(345\) | −0.651898 | + | 0.418950i | −0.0350970 | + | 0.0225555i | ||||
\(346\) | −1.53627 | − | 10.6850i | −0.0825906 | − | 0.574431i | ||||
\(347\) | 9.96384 | − | 2.92565i | 0.534887 | − | 0.157057i | −0.00312362 | − | 0.999995i | \(-0.500994\pi\) |
0.538010 | + | 0.842938i | \(0.319176\pi\) | |||||||
\(348\) | 14.5667 | − | 4.27716i | 0.780856 | − | 0.229280i | ||||
\(349\) | −8.85734 | + | 10.2219i | −0.474122 | + | 0.547166i | −0.941554 | − | 0.336863i | \(-0.890634\pi\) |
0.467431 | + | 0.884029i | \(0.345180\pi\) | |||||||
\(350\) | −13.5633 | + | 29.6995i | −0.724990 | + | 1.58751i | ||||
\(351\) | −1.18986 | − | 8.27567i | −0.0635101 | − | 0.441722i | ||||
\(352\) | 20.6029 | + | 23.7770i | 1.09814 | + | 1.26732i | ||||
\(353\) | 20.3415 | − | 23.4753i | 1.08267 | − | 1.24946i | 0.116049 | − | 0.993243i | \(-0.462977\pi\) |
0.966618 | − | 0.256221i | \(-0.0824776\pi\) | |||||||
\(354\) | −9.75313 | + | 21.3564i | −0.518373 | + | 1.13508i | ||||
\(355\) | 0.241002 | + | 0.154883i | 0.0127911 | + | 0.00822032i | ||||
\(356\) | 3.89409 | − | 27.0840i | 0.206386 | − | 1.43545i | ||||
\(357\) | −13.3428 | + | 8.57492i | −0.706178 | + | 0.453833i | ||||
\(358\) | −30.5177 | − | 19.6126i | −1.61291 | − | 1.03656i | ||||
\(359\) | 19.0812 | + | 22.0209i | 1.00707 | + | 1.16222i | 0.986721 | + | 0.162426i | \(0.0519317\pi\) |
0.0203473 | + | 0.999793i | \(0.493523\pi\) | |||||||
\(360\) | 3.86995 | − | 1.13632i | 0.203964 | − | 0.0598893i | ||||
\(361\) | 12.4267 | + | 14.3411i | 0.654035 | + | 0.754797i | ||||
\(362\) | 2.33490 | − | 16.2396i | 0.122719 | − | 0.853532i | ||||
\(363\) | −6.11730 | − | 1.79620i | −0.321075 | − | 0.0942761i | ||||
\(364\) | −9.76962 | −0.512067 | ||||||||
\(365\) | 25.7123 | 1.34584 | ||||||||
\(366\) | −22.0084 | − | 6.46224i | −1.15040 | − | 0.337786i | ||||
\(367\) | −11.5123 | + | 7.39849i | −0.600936 | + | 0.386198i | −0.805448 | − | 0.592666i | \(-0.798075\pi\) |
0.204513 | + | 0.978864i | \(0.434439\pi\) | |||||||
\(368\) | 0.482511 | − | 1.05655i | 0.0251526 | − | 0.0550765i | ||||
\(369\) | 2.64843 | − | 5.79924i | 0.137872 | − | 0.301897i | ||||
\(370\) | 1.07556 | − | 0.691223i | 0.0559159 | − | 0.0359350i | ||||
\(371\) | 32.2152 | + | 9.45924i | 1.67253 | + | 0.491099i | ||||
\(372\) | 11.3432 | 0.588118 | ||||||||
\(373\) | −29.9015 | −1.54824 | −0.774120 | − | 0.633039i | \(-0.781807\pi\) | ||||
−0.774120 | + | 0.633039i | \(0.781807\pi\) | |||||||
\(374\) | 38.1328 | + | 11.1968i | 1.97180 | + | 0.578973i | ||||
\(375\) | −0.0187124 | + | 0.130148i | −0.000966306 | + | 0.00672081i | ||||
\(376\) | −1.93643 | − | 2.23476i | −0.0998636 | − | 0.115249i | ||||
\(377\) | −15.6119 | + | 4.58407i | −0.804053 | + | 0.236091i | ||||
\(378\) | −20.5927 | − | 23.7652i | −1.05917 | − | 1.22235i | ||||
\(379\) | −1.29495 | − | 0.832214i | −0.0665171 | − | 0.0427480i | 0.506960 | − | 0.861970i | \(-0.330769\pi\) |
−0.573477 | + | 0.819222i | \(0.694406\pi\) | |||||||
\(380\) | −0.694178 | + | 0.446121i | −0.0356106 | + | 0.0228855i | ||||
\(381\) | 0.588001 | − | 4.08964i | 0.0301242 | − | 0.209518i | ||||
\(382\) | −5.07638 | − | 3.26239i | −0.259730 | − | 0.166918i | ||||
\(383\) | −7.99828 | + | 17.5138i | −0.408693 | + | 0.894913i | 0.587621 | + | 0.809136i | \(0.300064\pi\) |
−0.996314 | + | 0.0857767i | \(0.972663\pi\) | |||||||
\(384\) | 3.00832 | − | 3.47178i | 0.153517 | − | 0.177169i | ||||
\(385\) | 29.4379 | + | 33.9731i | 1.50029 | + | 1.73143i | ||||
\(386\) | −3.46030 | − | 24.0669i | −0.176125 | − | 1.22497i | ||||
\(387\) | −3.59326 | + | 7.86814i | −0.182656 | + | 0.399960i | ||||
\(388\) | −2.18997 | + | 2.52736i | −0.111179 | + | 0.128307i | ||||
\(389\) | −34.6895 | + | 10.1857i | −1.75883 | + | 0.516438i | −0.992090 | − | 0.125525i | \(-0.959939\pi\) |
−0.766736 | + | 0.641963i | \(0.778120\pi\) | |||||||
\(390\) | −9.58691 | + | 2.81497i | −0.485452 | + | 0.142542i | ||||
\(391\) | −0.179568 | − | 1.24892i | −0.00908113 | − | 0.0631606i | ||||
\(392\) | 2.24527 | − | 1.44295i | 0.113403 | − | 0.0728800i | ||||
\(393\) | 7.12774 | + | 15.6076i | 0.359547 | + | 0.787298i | ||||
\(394\) | −13.2224 | − | 3.88244i | −0.666133 | − | 0.195594i | ||||
\(395\) | −6.22595 | − | 13.6329i | −0.313261 | − | 0.685947i | ||||
\(396\) | −2.10308 | + | 14.6272i | −0.105684 | + | 0.735046i | ||||
\(397\) | −0.965354 | − | 6.71418i | −0.0484497 | − | 0.336975i | −0.999601 | − | 0.0282497i | \(-0.991007\pi\) |
0.951151 | − | 0.308725i | \(-0.0999024\pi\) | |||||||
\(398\) | −18.9617 | + | 21.8830i | −0.950467 | + | 1.09690i | ||||
\(399\) | −0.419219 | − | 0.269416i | −0.0209872 | − | 0.0134876i | ||||
\(400\) | −9.49971 | − | 20.8015i | −0.474986 | − | 1.04007i | ||||
\(401\) | 2.58618 | 0.129148 | 0.0645738 | − | 0.997913i | \(-0.479431\pi\) | ||||
0.0645738 | + | 0.997913i | \(0.479431\pi\) | |||||||
\(402\) | 14.9875 | − | 0.412180i | 0.747511 | − | 0.0205577i | ||||
\(403\) | −12.1571 | −0.605589 | ||||||||
\(404\) | −5.37841 | − | 11.7771i | −0.267586 | − | 0.585932i | ||||
\(405\) | 4.34600 | + | 2.79301i | 0.215955 | + | 0.138786i | ||||
\(406\) | −40.0756 | + | 46.2497i | −1.98892 | + | 2.29533i | ||||
\(407\) | −0.125799 | − | 0.874954i | −0.00623564 | − | 0.0433699i | ||||
\(408\) | 0.407656 | − | 2.83531i | 0.0201820 | − | 0.140369i | ||||
\(409\) | 11.3332 | + | 24.8162i | 0.560391 | + | 1.22708i | 0.951758 | + | 0.306850i | \(0.0992749\pi\) |
−0.391367 | + | 0.920235i | \(0.627998\pi\) | |||||||
\(410\) | −17.8092 | − | 5.22927i | −0.879536 | − | 0.258255i | ||||
\(411\) | −2.94413 | − | 6.44674i | −0.145223 | − | 0.317994i | ||||
\(412\) | −3.27621 | + | 2.10549i | −0.161407 | + | 0.103730i | ||||
\(413\) | −6.15372 | − | 42.8001i | −0.302805 | − | 2.10605i | ||||
\(414\) | 0.985268 | − | 0.289301i | 0.0484233 | − | 0.0142184i | ||||
\(415\) | 23.8630 | − | 7.00681i | 1.17139 | − | 0.343951i | ||||
\(416\) | 8.43400 | − | 9.73336i | 0.413511 | − | 0.477217i | ||||
\(417\) | −0.675453 | + | 1.47904i | −0.0330771 | + | 0.0724287i | ||||
\(418\) | 0.177705 | + | 1.23597i | 0.00869184 | + | 0.0604531i | ||||
\(419\) | −3.30483 | − | 3.81398i | −0.161452 | − | 0.186325i | 0.669260 | − | 0.743029i | \(-0.266611\pi\) |
−0.830711 | + | 0.556704i | \(0.812066\pi\) | |||||||
\(420\) | −11.2439 | + | 12.9761i | −0.548645 | + | 0.633171i | ||||
\(421\) | 11.4739 | − | 25.1243i | 0.559204 | − | 1.22449i | −0.393145 | − | 0.919476i | \(-0.628613\pi\) |
0.952349 | − | 0.305009i | \(-0.0986596\pi\) | |||||||
\(422\) | 8.45482 | + | 5.43359i | 0.411574 | + | 0.264503i | ||||
\(423\) | 1.44282 | − | 10.0350i | 0.0701523 | − | 0.487920i | ||||
\(424\) | −5.10116 | + | 3.27831i | −0.247734 | + | 0.159209i | ||||
\(425\) | −20.8982 | − | 13.4304i | −1.01371 | − | 0.651472i | ||||
\(426\) | 0.108432 | + | 0.125137i | 0.00525356 | + | 0.00606293i | ||||
\(427\) | 40.5334 | − | 11.9017i | 1.96155 | − | 0.575963i | ||||
\(428\) | 13.9003 | + | 16.0418i | 0.671896 | + | 0.775409i | ||||
\(429\) | −0.983119 | + | 6.83774i | −0.0474654 | + | 0.330129i | ||||
\(430\) | 24.1627 | + | 7.09482i | 1.16523 | + | 0.342143i | ||||
\(431\) | −21.5609 | −1.03855 | −0.519276 | − | 0.854607i | \(-0.673798\pi\) | ||||
−0.519276 | + | 0.854607i | \(0.673798\pi\) | |||||||
\(432\) | 22.0246 | 1.05966 | ||||||||
\(433\) | 15.3946 | + | 4.52027i | 0.739818 | + | 0.217230i | 0.629863 | − | 0.776706i | \(-0.283111\pi\) |
0.109955 | + | 0.993937i | \(0.464929\pi\) | |||||||
\(434\) | −38.4658 | + | 24.7205i | −1.84642 | + | 1.18662i | ||||
\(435\) | −11.8792 | + | 26.0117i | −0.569562 | + | 1.24717i | ||||
\(436\) | −11.4196 | + | 25.0053i | −0.546898 | + | 1.19754i | ||||
\(437\) | 0.0333501 | − | 0.0214328i | 0.00159535 | − | 0.00102527i | ||||
\(438\) | 14.2593 | + | 4.18691i | 0.681336 | + | 0.200058i | ||||
\(439\) | 19.3905 | 0.925460 | 0.462730 | − | 0.886499i | \(-0.346870\pi\) | ||||
0.462730 | + | 0.886499i | \(0.346870\pi\) | |||||||
\(440\) | −8.11859 | −0.387038 | ||||||||
\(441\) | 8.77999 | + | 2.57804i | 0.418095 | + | 0.122764i | ||||
\(442\) | 2.31533 | − | 16.1034i | 0.110129 | − | 0.765962i | ||||
\(443\) | −6.28367 | − | 7.25174i | −0.298546 | − | 0.344541i | 0.586580 | − | 0.809891i | \(-0.300474\pi\) |
−0.885127 | + | 0.465350i | \(0.845928\pi\) | |||||||
\(444\) | 0.323951 | − | 0.0951207i | 0.0153741 | − | 0.00451423i | ||||
\(445\) | 33.7512 | + | 38.9510i | 1.59996 | + | 1.84645i | ||||
\(446\) | 6.55405 | + | 4.21203i | 0.310343 | + | 0.199446i | ||||
\(447\) | 12.2576 | − | 7.87749i | 0.579765 | − | 0.372592i | ||||
\(448\) | 2.53996 | − | 17.6658i | 0.120002 | − | 0.834630i | ||||
\(449\) | −2.89707 | − | 1.86183i | −0.136721 | − | 0.0878654i | 0.470492 | − | 0.882404i | \(-0.344076\pi\) |
−0.607213 | + | 0.794539i | \(0.707713\pi\) | |||||||
\(450\) | 8.39844 | − | 18.3900i | 0.395906 | − | 0.866914i | ||||
\(451\) | −8.40373 | + | 9.69842i | −0.395716 | + | 0.456681i | ||||
\(452\) | 0.997651 | + | 1.15135i | 0.0469255 | + | 0.0541550i | ||||
\(453\) | −1.61238 | − | 11.2143i | −0.0757560 | − | 0.526894i | ||||
\(454\) | 5.56655 | − | 12.1890i | 0.261251 | − | 0.572060i | ||||
\(455\) | 12.0507 | − | 13.9072i | 0.564944 | − | 0.651981i | ||||
\(456\) | 0.0863532 | − | 0.0253556i | 0.00404386 | − | 0.00118738i | ||||
\(457\) | −15.8967 | + | 4.66769i | −0.743616 | + | 0.218345i | −0.631528 | − | 0.775353i | \(-0.717572\pi\) |
−0.112088 | + | 0.993698i | \(0.535754\pi\) | |||||||
\(458\) | 5.00028 | + | 34.7777i | 0.233648 | + | 1.62506i | ||||
\(459\) | 20.1274 | − | 12.9351i | 0.939467 | − | 0.603759i | ||||
\(460\) | −0.567422 | − | 1.24248i | −0.0264562 | − | 0.0579310i | ||||
\(461\) | −2.40080 | − | 0.704939i | −0.111816 | − | 0.0328323i | 0.225346 | − | 0.974279i | \(-0.427649\pi\) |
−0.337162 | + | 0.941447i | \(0.609467\pi\) | |||||||
\(462\) | 10.7933 | + | 23.6341i | 0.502151 | + | 1.09956i | ||||
\(463\) | −2.98479 | + | 20.7597i | −0.138715 | + | 0.964784i | 0.794960 | + | 0.606662i | \(0.207492\pi\) |
−0.933675 | + | 0.358122i | \(0.883417\pi\) | |||||||
\(464\) | −6.09994 | − | 42.4260i | −0.283183 | − | 1.96958i | ||||
\(465\) | −13.9917 | + | 16.1472i | −0.648848 | + | 0.748811i | ||||
\(466\) | −15.1164 | − | 9.71474i | −0.700255 | − | 0.450027i | ||||
\(467\) | 15.1370 | + | 33.1454i | 0.700458 | + | 1.53379i | 0.839416 | + | 0.543490i | \(0.182897\pi\) |
−0.138958 | + | 0.990298i | \(0.544375\pi\) | |||||||
\(468\) | 6.04937 | 0.279632 | ||||||||
\(469\) | −22.8107 | + | 15.5619i | −1.05330 | + | 0.718583i | ||||
\(470\) | −29.5162 | −1.36148 | ||||||||
\(471\) | 0.904257 | + | 1.98005i | 0.0416660 | + | 0.0912357i | ||||
\(472\) | 6.56957 | + | 4.22201i | 0.302389 | + | 0.194334i | ||||
\(473\) | 11.4018 | − | 13.1583i | 0.524254 | − | 0.605022i | ||||
\(474\) | −1.23279 | − | 8.57424i | −0.0566239 | − | 0.393828i | ||||
\(475\) | 0.111077 | − | 0.772558i | 0.00509657 | − | 0.0354474i | ||||
\(476\) | −11.6138 | − | 25.4307i | −0.532318 | − | 1.16561i | ||||
\(477\) | −19.9477 | − | 5.85718i | −0.913343 | − | 0.268182i | ||||
\(478\) | 4.95954 | + | 10.8599i | 0.226844 | + | 0.496719i | ||||
\(479\) | −0.0352892 | + | 0.0226790i | −0.00161241 | + | 0.00103623i | −0.541447 | − | 0.840735i | \(-0.682123\pi\) |
0.539834 | + | 0.841771i | \(0.318487\pi\) | |||||||
\(480\) | −3.22125 | − | 22.4043i | −0.147029 | − | 1.02261i | ||||
\(481\) | −0.347196 | + | 0.101946i | −0.0158308 | + | 0.00464834i | ||||
\(482\) | 4.96066 | − | 1.45658i | 0.225952 | − | 0.0663455i | ||||
\(483\) | 0.540186 | − | 0.623408i | 0.0245793 | − | 0.0283660i | ||||
\(484\) | 4.66843 | − | 10.2224i | 0.212202 | − | 0.464657i | ||||
\(485\) | −0.896447 | − | 6.23493i | −0.0407056 | − | 0.283113i | ||||
\(486\) | 20.2680 | + | 23.3905i | 0.919375 | + | 1.06101i | ||||
\(487\) | 9.73604 | − | 11.2360i | 0.441182 | − | 0.509151i | −0.490991 | − | 0.871165i | \(-0.663365\pi\) |
0.932173 | + | 0.362014i | \(0.117911\pi\) | |||||||
\(488\) | −3.16940 | + | 6.94001i | −0.143472 | + | 0.314159i | ||||
\(489\) | −3.28051 | − | 2.10826i | −0.148350 | − | 0.0953386i | ||||
\(490\) | 3.79141 | − | 26.3698i | 0.171278 | − | 1.19127i | ||||
\(491\) | 29.3907 | − | 18.8883i | 1.32639 | − | 0.852416i | 0.330569 | − | 0.943782i | \(-0.392760\pi\) |
0.995817 | + | 0.0913655i | \(0.0291232\pi\) | |||||||
\(492\) | −4.12344 | − | 2.64997i | −0.185899 | − | 0.119470i | ||||
\(493\) | −30.4914 | − | 35.1890i | −1.37326 | − | 1.58483i | ||||
\(494\) | 0.490452 | − | 0.144010i | 0.0220665 | − | 0.00647930i | ||||
\(495\) | −18.2280 | − | 21.0362i | −0.819288 | − | 0.945508i | ||||
\(496\) | 4.55767 | − | 31.6993i | 0.204645 | − | 1.42334i | ||||
\(497\) | −0.292602 | − | 0.0859156i | −0.0131250 | − | 0.00385384i | ||||
\(498\) | 14.3747 | 0.644146 | ||||||||
\(499\) | 9.61045 | 0.430223 | 0.215111 | − | 0.976590i | \(-0.430989\pi\) | ||||
0.215111 | + | 0.976590i | \(0.430989\pi\) | |||||||
\(500\) | −0.222379 | − | 0.0652963i | −0.00994508 | − | 0.00292014i | ||||
\(501\) | −7.60365 | + | 4.88657i | −0.339706 | + | 0.218316i | ||||
\(502\) | 11.0206 | − | 24.1317i | 0.491873 | − | 1.07705i | ||||
\(503\) | −5.84867 | + | 12.8068i | −0.260779 | + | 0.571027i | −0.994052 | − | 0.108908i | \(-0.965265\pi\) |
0.733273 | + | 0.679935i | \(0.237992\pi\) | |||||||
\(504\) | −3.61186 | + | 2.32120i | −0.160885 | + | 0.103395i | ||||
\(505\) | 23.3991 | + | 6.87059i | 1.04124 | + | 0.305737i | ||||
\(506\) | −2.06695 | −0.0918872 | ||||||||
\(507\) | −9.58090 | −0.425503 | ||||||||
\(508\) | 6.98781 | + | 2.05181i | 0.310034 | + | 0.0910341i | ||||
\(509\) | −2.59033 | + | 18.0161i | −0.114814 | + | 0.798550i | 0.848311 | + | 0.529498i | \(0.177620\pi\) |
−0.963126 | + | 0.269052i | \(0.913290\pi\) | |||||||
\(510\) | −18.7241 | − | 21.6087i | −0.829116 | − | 0.956851i | ||||
\(511\) | −26.2618 | + | 7.71116i | −1.16175 | + | 0.341122i | ||||
\(512\) | 18.5994 | + | 21.4648i | 0.821984 | + | 0.948620i | ||||
\(513\) | 0.632384 | + | 0.406408i | 0.0279204 | + | 0.0179434i | ||||
\(514\) | −11.7436 | + | 7.54716i | −0.517988 | + | 0.332891i | ||||
\(515\) | 1.04395 | − | 7.26083i | 0.0460020 | − | 0.319951i | ||||
\(516\) | 5.59448 | + | 3.59536i | 0.246283 | + | 0.158277i | ||||
\(517\) | −8.47737 | + | 18.5629i | −0.372834 | + | 0.816393i | ||||
\(518\) | −0.891250 | + | 1.02856i | −0.0391593 | + | 0.0451922i | ||||
\(519\) | 3.51626 | + | 4.05798i | 0.154347 | + | 0.178126i | ||||
\(520\) | 0.472972 | + | 3.28959i | 0.0207412 | + | 0.144258i | ||||
\(521\) | 8.31122 | − | 18.1990i | 0.364121 | − | 0.797314i | −0.635560 | − | 0.772052i | \(-0.719231\pi\) |
0.999681 | − | 0.0252621i | \(-0.00804203\pi\) | |||||||
\(522\) | 24.8149 | − | 28.6379i | 1.08612 | − | 1.25345i | ||||
\(523\) | −21.6361 | + | 6.35293i | −0.946080 | + | 0.277794i | −0.718154 | − | 0.695884i | \(-0.755013\pi\) |
−0.227926 | + | 0.973678i | \(0.573194\pi\) | |||||||
\(524\) | −29.0190 | + | 8.52076i | −1.26770 | + | 0.372231i | ||||
\(525\) | −2.31126 | − | 16.0751i | −0.100871 | − | 0.701577i | ||||
\(526\) | 33.0641 | − | 21.2490i | 1.44166 | − | 0.926502i | ||||
\(527\) | −14.4520 | − | 31.6455i | −0.629539 | − | 1.37850i | ||||
\(528\) | −17.4606 | − | 5.12690i | −0.759875 | − | 0.223120i | ||||
\(529\) | −9.52728 | − | 20.8618i | −0.414230 | − | 0.907037i | ||||
\(530\) | −8.61390 | + | 59.9110i | −0.374164 | + | 2.60237i | ||||
\(531\) | 3.81039 | + | 26.5019i | 0.165357 | + | 1.15008i | ||||
\(532\) | 0.575220 | − | 0.663839i | 0.0249390 | − | 0.0287811i | ||||
\(533\) | 4.41931 | + | 2.84012i | 0.191422 | + | 0.123019i | ||||
\(534\) | 12.3748 | + | 27.0971i | 0.535510 | + | 1.17260i | ||||
\(535\) | −39.9816 | −1.72855 | ||||||||
\(536\) | 0.573758 | − | 4.95393i | 0.0247826 | − | 0.213977i | ||||
\(537\) | 18.0443 | 0.778667 | ||||||||
\(538\) | −4.92985 | − | 10.7949i | −0.212541 | − | 0.465400i | ||||
\(539\) | −15.4952 | − | 9.95814i | −0.667424 | − | 0.428927i | ||||
\(540\) | 16.9612 | − | 19.5743i | 0.729893 | − | 0.842342i | ||||
\(541\) | 3.12108 | + | 21.7076i | 0.134186 | + | 0.933282i | 0.940015 | + | 0.341134i | \(0.110811\pi\) |
−0.805829 | + | 0.592148i | \(0.798280\pi\) | |||||||
\(542\) | 2.15264 | − | 14.9719i | 0.0924636 | − | 0.643099i | ||||
\(543\) | 3.39011 | + | 7.42330i | 0.145483 | + | 0.318564i | ||||
\(544\) | 35.3624 | + | 10.3833i | 1.51615 | + | 0.445182i | ||||
\(545\) | −21.5097 | − | 47.0997i | −0.921374 | − | 2.01753i | ||||
\(546\) | 8.94757 | − | 5.75025i | 0.382921 | − | 0.246088i | ||||
\(547\) | −6.05332 | − | 42.1018i | −0.258821 | − | 1.80014i | −0.541259 | − | 0.840856i | \(-0.682052\pi\) |
0.282438 | − | 0.959286i | \(-0.408857\pi\) | |||||||
\(548\) | 11.9864 | − | 3.51952i | 0.512033 | − | 0.150346i | ||||
\(549\) | −25.0984 | + | 7.36955i | −1.07117 | + | 0.314525i | ||||
\(550\) | −26.6491 | + | 30.7547i | −1.13632 | + | 1.31139i | ||||
\(551\) | 0.607720 | − | 1.33072i | 0.0258897 | − | 0.0566906i | ||||
\(552\) | 0.0212015 | + | 0.147460i | 0.000902397 | + | 0.00627631i | ||||
\(553\) | 10.4475 | + | 12.0571i | 0.444274 | + | 0.512720i | ||||
\(554\) | −29.8569 | + | 34.4567i | −1.26850 | + | 1.46393i | ||||
\(555\) | −0.264183 | + | 0.578481i | −0.0112140 | + | 0.0245551i | ||||
\(556\) | −2.41108 | − | 1.54951i | −0.102252 | − | 0.0657137i | ||||
\(557\) | −5.38786 | + | 37.4734i | −0.228291 | + | 1.58780i | 0.477014 | + | 0.878896i | \(0.341719\pi\) |
−0.705305 | + | 0.708904i | \(0.749190\pi\) | |||||||
\(558\) | 23.8181 | − | 15.3070i | 1.00830 | − | 0.647996i | ||||
\(559\) | −5.99591 | − | 3.85334i | −0.253600 | − | 0.162979i | ||||
\(560\) | 31.7448 | + | 36.6355i | 1.34146 | + | 1.54813i | ||||
\(561\) | −18.9676 | + | 5.56939i | −0.800813 | + | 0.235140i | ||||
\(562\) | 17.8362 | + | 20.5840i | 0.752373 | + | 0.868285i | ||||
\(563\) | −1.83182 | + | 12.7406i | −0.0772020 | + | 0.536951i | 0.914115 | + | 0.405456i | \(0.132887\pi\) |
−0.991317 | + | 0.131496i | \(0.958022\pi\) | |||||||
\(564\) | −7.47878 | − | 2.19597i | −0.314913 | − | 0.0924669i | ||||
\(565\) | −2.86955 | −0.120723 | ||||||||
\(566\) | −11.0726 | −0.465418 | ||||||||
\(567\) | −5.27650 | − | 1.54932i | −0.221592 | − | 0.0650654i | ||||
\(568\) | 0.0463324 | − | 0.0297760i | 0.00194406 | − | 0.00124937i | ||||
\(569\) | −9.41018 | + | 20.6054i | −0.394495 | + | 0.863824i | 0.603304 | + | 0.797512i | \(0.293851\pi\) |
−0.997799 | + | 0.0663127i | \(0.978877\pi\) | |||||||
\(570\) | 0.373187 | − | 0.817165i | 0.0156311 | − | 0.0342273i | ||||
\(571\) | −7.77224 | + | 4.99492i | −0.325258 | + | 0.209031i | −0.693071 | − | 0.720869i | \(-0.743743\pi\) |
0.367813 | + | 0.929900i | \(0.380107\pi\) | |||||||
\(572\) | −11.6834 | − | 3.43055i | −0.488507 | − | 0.143439i | ||||
\(573\) | 3.00152 | 0.125390 | ||||||||
\(574\) | 19.7581 | 0.824687 | ||||||||
\(575\) | 1.23964 | + | 0.363992i | 0.0516967 | + | 0.0151795i | ||||
\(576\) | −1.57275 | + | 10.9387i | −0.0655311 | + | 0.455779i | ||||
\(577\) | −7.43789 | − | 8.58379i | −0.309644 | − | 0.357348i | 0.579503 | − | 0.814970i | \(-0.303247\pi\) |
−0.889147 | + | 0.457622i | \(0.848701\pi\) | |||||||
\(578\) | 13.3689 | − | 3.92548i | 0.556075 | − | 0.163278i | ||||
\(579\) | 7.92002 | + | 9.14019i | 0.329145 | + | 0.379853i | ||||
\(580\) | −42.4035 | − | 27.2511i | −1.76071 | − | 1.13154i | ||||
\(581\) | −22.2716 | + | 14.3131i | −0.923982 | + | 0.593807i | ||||
\(582\) | 0.518132 | − | 3.60369i | 0.0214773 | − | 0.149378i | ||||
\(583\) | 35.2043 | + | 22.6244i | 1.45801 | + | 0.937008i | ||||
\(584\) | 2.05347 | − | 4.49646i | 0.0849730 | − | 0.186065i | ||||
\(585\) | −7.46180 | + | 8.61138i | −0.308508 | + | 0.356037i | ||||
\(586\) | −7.83313 | − | 9.03991i | −0.323584 | − | 0.373435i | ||||
\(587\) | 6.32989 | + | 44.0254i | 0.261263 | + | 1.81712i | 0.523396 | + | 0.852089i | \(0.324665\pi\) |
−0.262134 | + | 0.965032i | \(0.584426\pi\) | |||||||
\(588\) | 2.92255 | − | 6.39948i | 0.120524 | − | 0.263910i | ||||
\(589\) | 0.715793 | − | 0.826069i | 0.0294937 | − | 0.0340376i | ||||
\(590\) | 74.7928 | − | 21.9611i | 3.07917 | − | 0.904126i | ||||
\(591\) | 6.57692 | − | 1.93116i | 0.270538 | − | 0.0794373i | ||||
\(592\) | −0.135658 | − | 0.943521i | −0.00557550 | − | 0.0387785i | ||||
\(593\) | −14.7394 | + | 9.47243i | −0.605274 | + | 0.388986i | −0.807082 | − | 0.590439i | \(-0.798955\pi\) |
0.201808 | + | 0.979425i | \(0.435318\pi\) | |||||||
\(594\) | −16.2815 | − | 35.6516i | −0.668039 | − | 1.46280i | ||||
\(595\) | 50.5265 | + | 14.8359i | 2.07138 | + | 0.608213i | ||||
\(596\) | 10.6692 | + | 23.3623i | 0.437028 | + | 0.956958i | ||||
\(597\) | 2.04971 | − | 14.2561i | 0.0838892 | − | 0.583462i | ||||
\(598\) | 0.120416 | + | 0.837513i | 0.00492419 | + | 0.0342485i | ||||
\(599\) | 29.4304 | − | 33.9645i | 1.20249 | − | 1.38775i | 0.301757 | − | 0.953385i | \(-0.402427\pi\) |
0.900736 | − | 0.434366i | \(-0.143028\pi\) | |||||||
\(600\) | 2.46744 | + | 1.58573i | 0.100733 | + | 0.0647372i | ||||
\(601\) | −3.10916 | − | 6.80811i | −0.126825 | − | 0.277709i | 0.835559 | − | 0.549401i | \(-0.185144\pi\) |
−0.962384 | + | 0.271692i | \(0.912417\pi\) | |||||||
\(602\) | −26.8068 | −1.09257 | ||||||||
\(603\) | 14.1244 | − | 9.63597i | 0.575192 | − | 0.392407i | ||||
\(604\) | 19.9704 | 0.812585 | ||||||||
\(605\) | 8.79339 | + | 19.2548i | 0.357502 | + | 0.782820i | ||||
\(606\) | 11.8577 | + | 7.62046i | 0.481685 | + | 0.309560i | ||||
\(607\) | 1.81327 | − | 2.09262i | 0.0735983 | − | 0.0849369i | −0.717756 | − | 0.696294i | \(-0.754831\pi\) |
0.791355 | + | 0.611358i | \(0.209376\pi\) | |||||||
\(608\) | 0.164794 | + | 1.14617i | 0.00668329 | + | 0.0464833i | ||||
\(609\) | 4.33207 | − | 30.1302i | 0.175544 | − | 1.22094i | ||||
\(610\) | 31.6362 | + | 69.2736i | 1.28091 | + | 2.80481i | ||||
\(611\) | 8.01541 | + | 2.35354i | 0.324269 | + | 0.0952139i | ||||
\(612\) | 7.19129 | + | 15.7467i | 0.290691 | + | 0.636524i | ||||
\(613\) | 26.5959 | − | 17.0922i | 1.07420 | − | 0.690346i | 0.120989 | − | 0.992654i | \(-0.461393\pi\) |
0.953210 | + | 0.302307i | \(0.0977569\pi\) | |||||||
\(614\) | 5.84103 | + | 40.6253i | 0.235725 | + | 1.63950i | ||||
\(615\) | 8.85848 | − | 2.60109i | 0.357209 | − | 0.104886i | ||||
\(616\) | 8.29208 | − | 2.43477i | 0.334097 | − | 0.0980999i | ||||
\(617\) | 24.8719 | − | 28.7037i | 1.00131 | − | 1.15557i | 0.0134942 | − | 0.999909i | \(-0.495705\pi\) |
0.987811 | − | 0.155659i | \(-0.0497500\pi\) | |||||||
\(618\) | 1.76128 | − | 3.85666i | 0.0708489 | − | 0.155137i | ||||
\(619\) | 0.0890205 | + | 0.619152i | 0.00357804 | + | 0.0248858i | 0.991532 | − | 0.129861i | \(-0.0414530\pi\) |
−0.987954 | + | 0.154746i | \(0.950544\pi\) | |||||||
\(620\) | −24.6627 | − | 28.4623i | −0.990478 | − | 1.14307i | ||||
\(621\) | −0.814860 | + | 0.940399i | −0.0326992 | + | 0.0377369i | ||||
\(622\) | −3.04151 | + | 6.65997i | −0.121953 | + | 0.267040i | ||||
\(623\) | −46.1540 | − | 29.6614i | −1.84912 | − | 1.18836i | ||||
\(624\) | −1.06016 | + | 7.37359i | −0.0424405 | + | 0.295180i | ||||
\(625\) | −20.8469 | + | 13.3975i | −0.833877 | + | 0.535900i | ||||
\(626\) | −6.83103 | − | 4.39004i | −0.273023 | − | 0.175461i | ||||
\(627\) | −0.406736 | − | 0.469398i | −0.0162435 | − | 0.0187460i | ||||
\(628\) | −3.68148 | + | 1.08098i | −0.146907 | + | 0.0431358i | ||||
\(629\) | −0.678105 | − | 0.782575i | −0.0270378 | − | 0.0312033i | ||||
\(630\) | −6.09905 | + | 42.4198i | −0.242992 | + | 1.69005i | ||||
\(631\) | −11.1477 | − | 3.27325i | −0.443782 | − | 0.130306i | 0.0522045 | − | 0.998636i | \(-0.483375\pi\) |
−0.495986 | + | 0.868330i | \(0.665193\pi\) | |||||||
\(632\) | −2.88129 | −0.114612 | ||||||||
\(633\) | −4.99910 | −0.198696 | ||||||||
\(634\) | −15.6250 | − | 4.58791i | −0.620547 | − | 0.182209i | ||||
\(635\) | −11.5401 | + | 7.41640i | −0.457956 | + | 0.294311i | ||||
\(636\) | −6.63988 | + | 14.5393i | −0.263289 | + | 0.576522i | ||||
\(637\) | −3.13225 | + | 6.85867i | −0.124104 | + | 0.271750i | ||||
\(638\) | −64.1664 | + | 41.2372i | −2.54037 | + | 1.63260i | ||||
\(639\) | 0.181180 | + | 0.0531991i | 0.00716735 | + | 0.00210452i | ||||
\(640\) | −15.2521 | −0.602894 | ||||||||
\(641\) | −20.3647 | −0.804356 | −0.402178 | − | 0.915561i | \(-0.631747\pi\) | ||||
−0.402178 | + | 0.915561i | \(0.631747\pi\) | |||||||
\(642\) | −22.1726 | − | 6.51047i | −0.875083 | − | 0.256948i | ||||
\(643\) | −4.60008 | + | 31.9943i | −0.181409 | + | 1.26173i | 0.672024 | + | 0.740529i | \(0.265425\pi\) |
−0.853434 | + | 0.521201i | \(0.825484\pi\) | |||||||
\(644\) | 0.952170 | + | 1.09886i | 0.0375208 | + | 0.0433013i | ||||
\(645\) | −12.0188 | + | 3.52903i | −0.473238 | + | 0.138955i | ||||
\(646\) | 0.957896 | + | 1.10547i | 0.0376879 | + | 0.0434942i | ||||
\(647\) | −9.36607 | − | 6.01921i | −0.368218 | − | 0.236639i | 0.343426 | − | 0.939180i | \(-0.388413\pi\) |
−0.711644 | + | 0.702540i | \(0.752049\pi\) | |||||||
\(648\) | 0.835515 | − | 0.536953i | 0.0328221 | − | 0.0210935i | ||||
\(649\) | 7.66986 | − | 53.3450i | 0.301068 | − | 2.09398i | ||||
\(650\) | 14.0141 | + | 9.00632i | 0.549678 | + | 0.353257i | ||||
\(651\) | 9.44809 | − | 20.6884i | 0.370300 | − | 0.810844i | ||||
\(652\) | 4.50127 | − | 5.19474i | 0.176283 | − | 0.203442i | ||||
\(653\) | 1.88062 | + | 2.17035i | 0.0735943 | + | 0.0849324i | 0.791353 | − | 0.611360i | \(-0.209377\pi\) |
−0.717758 | + | 0.696292i | \(0.754832\pi\) | |||||||
\(654\) | −4.25910 | − | 29.6227i | −0.166544 | − | 1.15834i | ||||
\(655\) | 23.6651 | − | 51.8193i | 0.924672 | − | 2.02475i | ||||
\(656\) | −9.06230 | + | 10.4584i | −0.353823 | + | 0.408334i | ||||
\(657\) | 16.2614 | − | 4.77476i | 0.634416 | − | 0.186281i | ||||
\(658\) | 30.1469 | − | 8.85193i | 1.17525 | − | 0.345084i | ||||
\(659\) | 1.74479 | + | 12.1353i | 0.0679675 | + | 0.472724i | 0.995170 | + | 0.0981644i | \(0.0312971\pi\) |
−0.927203 | + | 0.374560i | \(0.877794\pi\) | |||||||
\(660\) | −18.0030 | + | 11.5698i | −0.700764 | + | 0.450354i | ||||
\(661\) | −5.77342 | − | 12.6420i | −0.224560 | − | 0.491718i | 0.763496 | − | 0.645812i | \(-0.223481\pi\) |
−0.988056 | + | 0.154095i | \(0.950754\pi\) | |||||||
\(662\) | −28.2190 | − | 8.28584i | −1.09676 | − | 0.322038i | ||||
\(663\) | 3.36169 | + | 7.36108i | 0.130557 | + | 0.285880i | ||||
\(664\) | 0.680452 | − | 4.73265i | 0.0264067 | − | 0.183662i | ||||
\(665\) | 0.235462 | + | 1.63767i | 0.00913081 | + | 0.0635062i | ||||
\(666\) | 0.551864 | − | 0.636885i | 0.0213843 | − | 0.0246788i | ||||
\(667\) | 2.03718 | + | 1.30921i | 0.0788798 | + | 0.0506930i | ||||
\(668\) | −6.61834 | − | 14.4921i | −0.256071 | − | 0.560718i | ||||
\(669\) | −3.87522 | −0.149825 | ||||||||
\(670\) | −33.6206 | − | 36.7105i | −1.29888 | − | 1.41825i | ||||
\(671\) | 52.6528 | 2.03264 | ||||||||
\(672\) | 10.0092 | + | 21.9170i | 0.386112 | + | 0.845468i | ||||
\(673\) | −0.585759 | − | 0.376444i | −0.0225793 | − | 0.0145109i | 0.529302 | − | 0.848433i | \(-0.322454\pi\) |
−0.551882 | + | 0.833922i | \(0.686090\pi\) | |||||||
\(674\) | 29.1509 | − | 33.6420i | 1.12285 | − | 1.29584i | ||||
\(675\) | 3.48649 | + | 24.2490i | 0.134195 | + | 0.933346i | ||||
\(676\) | 2.40341 | − | 16.7161i | 0.0924388 | − | 0.642926i | ||||
\(677\) | −10.8812 | − | 23.8266i | −0.418200 | − | 0.915731i | −0.995096 | − | 0.0989130i | \(-0.968463\pi\) |
0.576896 | − | 0.816818i | \(-0.304264\pi\) | |||||||
\(678\) | −1.59137 | − | 0.467269i | −0.0611163 | − | 0.0179454i | ||||
\(679\) | 2.78547 | + | 6.09932i | 0.106896 | + | 0.234070i | ||||
\(680\) | −8.00068 | + | 5.14173i | −0.306812 | + | 0.197176i | ||||
\(681\) | 0.948567 | + | 6.59743i | 0.0363492 | + | 0.252814i | ||||
\(682\) | −54.6814 | + | 16.0559i | −2.09386 | + | 0.614812i | ||||
\(683\) | 0.0105453 | − | 0.00309639i | 0.000403506 | − | 0.000118480i | −0.281531 | − | 0.959552i | \(-0.590842\pi\) |
0.281934 | + | 0.959434i | \(0.409024\pi\) | |||||||
\(684\) | −0.356177 | + | 0.411051i | −0.0136188 | + | 0.0157169i | ||||
\(685\) | −9.77492 | + | 21.4041i | −0.373480 | + | 0.817808i | ||||
\(686\) | −2.41325 | − | 16.7845i | −0.0921382 | − | 0.640835i | ||||
\(687\) | −11.4448 | − | 13.2080i | −0.436645 | − | 0.503915i | ||||
\(688\) | 12.2953 | − | 14.1895i | 0.468754 | − | 0.540970i | ||||
\(689\) | 7.11632 | − | 15.5826i | 0.271110 | − | 0.593649i | ||||
\(690\) | 1.25098 | + | 0.803958i | 0.0476241 | + | 0.0306062i | ||||
\(691\) | −0.723532 | + | 5.03227i | −0.0275244 | + | 0.191437i | −0.998945 | − | 0.0459295i | \(-0.985375\pi\) |
0.971420 | + | 0.237366i | \(0.0762841\pi\) | |||||||
\(692\) | −7.96216 | + | 5.11697i | −0.302676 | + | 0.194518i | ||||
\(693\) | 24.9263 | + | 16.0192i | 0.946873 | + | 0.608518i | ||||
\(694\) | −13.0499 | − | 15.0603i | −0.495366 | − | 0.571682i | ||||
\(695\) | 5.17978 | − | 1.52092i | 0.196480 | − | 0.0576918i | ||||
\(696\) | 3.60012 | + | 4.15476i | 0.136462 | + | 0.157486i | ||||
\(697\) | −2.13940 | + | 14.8799i | −0.0810357 | + | 0.563616i | ||||
\(698\) | 24.9039 | + | 7.31245i | 0.942627 | + | 0.276780i | ||||
\(699\) | 8.93791 | 0.338063 | ||||||||
\(700\) | 28.6266 | 1.08198 | ||||||||
\(701\) | −8.09253 | − | 2.37618i | −0.305650 | − | 0.0897471i | 0.125311 | − | 0.992118i | \(-0.460007\pi\) |
−0.430961 | + | 0.902370i | \(0.641825\pi\) | |||||||
\(702\) | −13.4972 | + | 8.67415i | −0.509420 | + | 0.327385i | ||||
\(703\) | 0.0135152 | − | 0.0295942i | 0.000509736 | − | 0.00111617i | ||||
\(704\) | 9.24077 | − | 20.2345i | 0.348275 | − | 0.762615i | ||||
\(705\) | 12.3510 | − | 7.93748i | 0.465164 | − | 0.298943i | ||||
\(706\) | −57.1935 | − | 16.7935i | −2.15251 | − | 0.632033i | ||||
\(707\) | −25.9596 | −0.976312 | ||||||||
\(708\) | 20.5848 | 0.773624 | ||||||||
\(709\) | 31.5905 | + | 9.27582i | 1.18641 | + | 0.348361i | 0.814641 | − | 0.579965i | \(-0.196934\pi\) |
0.371767 | + | 0.928326i | \(0.378752\pi\) | |||||||
\(710\) | 0.0782377 | − | 0.544155i | 0.00293621 | − | 0.0204218i | ||||
\(711\) | −6.46913 | − | 7.46577i | −0.242611 | − | 0.279988i | ||||
\(712\) | 9.50707 | − | 2.79153i | 0.356292 | − | 0.104617i | ||||
\(713\) | 1.18486 | + | 1.36740i | 0.0443734 | + | 0.0512097i | ||||
\(714\) | 25.6047 | + | 16.4551i | 0.958232 | + | 0.615818i | ||||
\(715\) | 19.2947 | − | 12.4000i | 0.721583 | − | 0.463733i | ||||
\(716\) | −4.52648 | + | 31.4824i | −0.169162 | + | 1.17655i | ||||
\(717\) | −4.99574 | − | 3.21057i | −0.186569 | − | 0.119901i | ||||
\(718\) | 23.2280 | − | 50.8621i | 0.866860 | − | 1.89816i | ||||
\(719\) | −16.9925 | + | 19.6104i | −0.633712 | + | 0.731343i | −0.978250 | − | 0.207430i | \(-0.933490\pi\) |
0.344538 | + | 0.938772i | \(0.388036\pi\) | |||||||
\(720\) | −19.6565 | − | 22.6848i | −0.732553 | − | 0.845411i | ||||
\(721\) | 1.11127 | + | 7.72908i | 0.0413860 | + | 0.287846i | ||||
\(722\) | 15.1272 | − | 33.1240i | 0.562978 | − | 1.23275i | ||||
\(723\) | −1.68407 | + | 1.94352i | −0.0626313 | + | 0.0722804i | ||||
\(724\) | −13.8021 | + | 4.05265i | −0.512950 | + | 0.150616i | ||||
\(725\) | 45.7454 | − | 13.4321i | 1.69894 | − | 0.498854i | ||||
\(726\) | 1.74116 | + | 12.1101i | 0.0646207 | + | 0.449447i | ||||
\(727\) | 9.37205 | − | 6.02305i | 0.347590 | − | 0.223383i | −0.355183 | − | 0.934797i | \(-0.615581\pi\) |
0.702773 | + | 0.711414i | \(0.251945\pi\) | |||||||
\(728\) | −1.46963 | − | 3.21805i | −0.0544682 | − | 0.119269i | ||||
\(729\) | −10.0790 | − | 2.95945i | −0.373295 | − | 0.109609i | ||||
\(730\) | −20.4972 | − | 44.8827i | −0.758637 | − | 1.66118i | ||||
\(731\) | 2.90264 | − | 20.1883i | 0.107358 | − | 0.746692i | ||||
\(732\) | 2.86208 | + | 19.9062i | 0.105785 | + | 0.735753i | ||||
\(733\) | −20.9736 | + | 24.2048i | −0.774677 | + | 0.894025i | −0.996713 | − | 0.0810134i | \(-0.974184\pi\) |
0.222036 | + | 0.975039i | \(0.428730\pi\) | |||||||
\(734\) | 22.0919 | + | 14.1976i | 0.815426 | + | 0.524043i | ||||
\(735\) | 5.50486 | + | 12.0540i | 0.203050 | + | 0.444617i | ||||
\(736\) | −1.91678 | −0.0706535 | ||||||||
\(737\) | −32.7436 | + | 10.6005i | −1.20613 | + | 0.390474i | ||||
\(738\) | −12.2343 | −0.450349 | ||||||||
\(739\) | −14.6094 | − | 31.9901i | −0.537415 | − | 1.17677i | −0.962416 | − | 0.271581i | \(-0.912454\pi\) |
0.425001 | − | 0.905193i | \(-0.360274\pi\) | |||||||
\(740\) | −0.943021 | − | 0.606043i | −0.0346661 | − | 0.0222786i | ||||
\(741\) | −0.166501 | + | 0.192153i | −0.00611657 | + | 0.00705890i | ||||
\(742\) | −9.16940 | − | 63.7746i | −0.336619 | − | 2.34124i | ||||
\(743\) | −2.96508 | + | 20.6226i | −0.108778 | + | 0.756570i | 0.860295 | + | 0.509797i | \(0.170279\pi\) |
−0.969073 | + | 0.246773i | \(0.920630\pi\) | |||||||
\(744\) | 1.70634 | + | 3.73637i | 0.0625576 | + | 0.136982i | ||||
\(745\) | −46.4170 | − | 13.6293i | −1.70059 | − | 0.499337i | ||||
\(746\) | 23.8367 | + | 52.1951i | 0.872724 | + | 1.91100i | ||||
\(747\) | 13.7906 | − | 8.86269i | 0.504572 | − | 0.324269i | ||||
\(748\) | −4.95898 | − | 34.4905i | −0.181318 | − | 1.26110i | ||||
\(749\) | 40.8360 | − | 11.9905i | 1.49211 | − | 0.438124i | ||||
\(750\) | 0.242099 | − | 0.0710868i | 0.00884022 | − | 0.00259572i | ||||
\(751\) | −26.9498 | + | 31.1017i | −0.983413 | + | 1.13492i | 0.00744006 | + | 0.999972i | \(0.497632\pi\) |
−0.990853 | + | 0.134947i | \(0.956914\pi\) | |||||||
\(752\) | −9.14171 | + | 20.0176i | −0.333364 | + | 0.729965i | ||||
\(753\) | 1.87796 | + | 13.0615i | 0.0684366 | + | 0.475987i | ||||
\(754\) | 20.4472 | + | 23.5974i | 0.744644 | + | 0.859365i | ||||
\(755\) | −24.6332 | + | 28.4282i | −0.896494 | + | 1.03461i | ||||
\(756\) | −11.4533 | + | 25.0792i | −0.416553 | + | 0.912123i | ||||
\(757\) | 29.7366 | + | 19.1106i | 1.08080 | + | 0.694586i | 0.954741 | − | 0.297437i | \(-0.0961319\pi\) |
0.126055 | + | 0.992023i | \(0.459768\pi\) | |||||||
\(758\) | −0.420386 | + | 2.92385i | −0.0152691 | + | 0.106199i | ||||
\(759\) | 0.864910 | − | 0.555844i | 0.0313942 | − | 0.0201758i | ||||
\(760\) | −0.251374 | − | 0.161548i | −0.00911828 | − | 0.00585996i | ||||
\(761\) | 22.3677 | + | 25.8137i | 0.810828 | + | 0.935746i | 0.998923 | − | 0.0464054i | \(-0.0147766\pi\) |
−0.188095 | + | 0.982151i | \(0.560231\pi\) | |||||||
\(762\) | −7.60749 | + | 2.23376i | −0.275590 | + | 0.0809206i | ||||
\(763\) | 36.0946 | + | 41.6554i | 1.30671 | + | 1.50803i | ||||
\(764\) | −0.752944 | + | 5.23684i | −0.0272405 | + | 0.189462i | ||||
\(765\) | −31.2861 | − | 9.18643i | −1.13115 | − | 0.332136i | ||||
\(766\) | 36.9476 | 1.33497 | ||||||||
\(767\) | −22.0618 | −0.796607 | ||||||||
\(768\) | −18.1490 | − | 5.32903i | −0.654895 | − | 0.192295i | ||||
\(769\) | −10.4407 | + | 6.70981i | −0.376500 | + | 0.241962i | −0.715181 | − | 0.698939i | \(-0.753656\pi\) |
0.338681 | + | 0.940901i | \(0.390019\pi\) | |||||||
\(770\) | 35.8354 | − | 78.4685i | 1.29142 | − | 2.82781i | ||||
\(771\) | 2.88450 | − | 6.31618i | 0.103883 | − | 0.227471i | ||||
\(772\) | −17.9339 | + | 11.5254i | −0.645456 | + | 0.414810i | ||||
\(773\) | 1.05186 | + | 0.308855i | 0.0378328 | + | 0.0111087i | 0.300594 | − | 0.953752i | \(-0.402815\pi\) |
−0.262761 | + | 0.964861i | \(0.584633\pi\) | |||||||
\(774\) | 16.5988 | 0.596633 | ||||||||
\(775\) | 35.6223 | 1.27959 | ||||||||
\(776\) | −1.16193 | − | 0.341174i | −0.0417109 | − | 0.0122474i | ||||
\(777\) | 0.0963418 | − | 0.670072i | 0.00345624 | − | 0.0240387i | ||||
\(778\) | 45.4336 | + | 52.4331i | 1.62887 | + | 1.87982i | ||||
\(779\) | −0.453187 | + | 0.133068i | −0.0162371 | + | 0.00476764i | ||||
\(780\) | 5.73681 | + | 6.62064i | 0.205411 | + | 0.237057i | ||||
\(781\) | −0.319751 | − | 0.205491i | −0.0114416 | − | 0.00735306i | ||||
\(782\) | −2.03693 | + | 1.30906i | −0.0728406 | + | 0.0468118i | ||||
\(783\) | −6.53484 | + | 45.4508i | −0.233536 | + | 1.62428i | ||||
\(784\) | −16.7095 | − | 10.7385i | −0.596767 | − | 0.383519i | ||||
\(785\) | 3.00226 | − | 6.57403i | 0.107155 | − | 0.234637i | ||||
\(786\) | 21.5621 | − | 24.8840i | 0.769094 | − | 0.887582i | ||||
\(787\) | −4.08315 | − | 4.71220i | −0.145548 | − | 0.167972i | 0.678294 | − | 0.734790i | \(-0.262720\pi\) |
−0.823843 | + | 0.566819i | \(0.808174\pi\) | |||||||
\(788\) | 1.71950 | + | 11.9594i | 0.0612547 | + | 0.426036i | ||||
\(789\) | −8.12131 | + | 17.7832i | −0.289126 | + | 0.633098i | ||||
\(790\) | −18.8341 | + | 21.7357i | −0.670086 | + | 0.773320i | ||||
\(791\) | 2.93088 | − | 0.860583i | 0.104210 | − | 0.0305988i | ||||
\(792\) | −5.13447 | + | 1.50762i | −0.182446 | + | 0.0535708i | ||||
\(793\) | −3.06744 | − | 21.3345i | −0.108928 | − | 0.757611i | ||||
\(794\) | −10.9505 | + | 7.03748i | −0.388620 | + | 0.249751i | ||||
\(795\) | −12.5068 | − | 27.3860i | −0.443570 | − | 0.971282i | ||||
\(796\) | 24.3588 | + | 7.15240i | 0.863376 | + | 0.253510i | ||||
\(797\) | −2.68772 | − | 5.88528i | −0.0952039 | − | 0.208467i | 0.856038 | − | 0.516912i | \(-0.172919\pi\) |
−0.951242 | + | 0.308445i | \(0.900191\pi\) | |||||||
\(798\) | −0.136093 | + | 0.946548i | −0.00481764 | + | 0.0335074i | ||||
\(799\) | 3.40211 | + | 23.6622i | 0.120358 | + | 0.837109i | ||||
\(800\) | −24.7130 | + | 28.5203i | −0.873736 | + | 1.00835i | ||||
\(801\) | 28.5786 | + | 18.3664i | 1.00978 | + | 0.648944i | ||||
\(802\) | −2.06164 | − | 4.51436i | −0.0727990 | − | 0.159408i | ||||
\(803\) | −34.1140 | −1.20386 | ||||||||
\(804\) | −5.78754 | − | 11.8030i | −0.204111 | − | 0.416260i | ||||
\(805\) | −2.73874 | −0.0965278 | ||||||||
\(806\) | 9.69136 | + | 21.2211i | 0.341364 | + | 0.747482i | ||||
\(807\) | 4.96584 | + | 3.19135i | 0.174806 | + | 0.112341i | ||||
\(808\) | 3.07022 | − | 3.54323i | 0.108010 | − | 0.124650i | ||||
\(809\) | −2.66295 | − | 18.5212i | −0.0936242 | − | 0.651171i | −0.981553 | − | 0.191190i | \(-0.938765\pi\) |
0.887929 | − | 0.459981i | \(-0.152144\pi\) | |||||||
\(810\) | 1.41086 | − | 9.81277i | 0.0495727 | − | 0.344786i | ||||
\(811\) | −21.5074 | − | 47.0946i | −0.755227 | − | 1.65372i | −0.756738 | − | 0.653718i | \(-0.773208\pi\) |
0.00151131 | − | 0.999999i | \(-0.499519\pi\) | |||||||
\(812\) | 51.4823 | + | 15.1166i | 1.80668 | + | 0.530488i | ||||
\(813\) | 3.12548 | + | 6.84384i | 0.109615 | + | 0.240024i | ||||
\(814\) | −1.42701 | + | 0.917084i | −0.0500167 | + | 0.0321438i | ||||
\(815\) | 1.84256 | + | 12.8153i | 0.0645420 | + | 0.448899i | ||||
\(816\) | −20.4540 | + | 6.00585i | −0.716034 | + | 0.210247i | ||||
\(817\) | 0.614862 | − | 0.180540i | 0.0215113 | − | 0.00631629i | ||||
\(818\) | 34.2840 | − | 39.5658i | 1.19871 | − | 1.38339i | ||||
\(819\) | 5.03870 | − | 11.0332i | 0.176066 | − | 0.385532i | ||||
\(820\) | 2.31600 | + | 16.1082i | 0.0808783 | + | 0.562521i | ||||
\(821\) | 2.18425 | + | 2.52076i | 0.0762310 | + | 0.0879752i | 0.792584 | − | 0.609763i | \(-0.208735\pi\) |
−0.716353 | + | 0.697738i | \(0.754190\pi\) | |||||||
\(822\) | −8.90626 | + | 10.2784i | −0.310642 | + | 0.358499i | ||||
\(823\) | −0.116426 | + | 0.254938i | −0.00405836 | + | 0.00888657i | −0.911650 | − | 0.410967i | \(-0.865191\pi\) |
0.907592 | + | 0.419853i | \(0.137918\pi\) | |||||||
\(824\) | −1.18637 | − | 0.762435i | −0.0413292 | − | 0.0265607i | ||||
\(825\) | 2.88070 | − | 20.0357i | 0.100293 | − | 0.697553i | ||||
\(826\) | −69.8049 | + | 44.8609i | −2.42882 | + | 1.56091i | ||||
\(827\) | −19.3832 | − | 12.4569i | −0.674022 | − | 0.433167i | 0.158352 | − | 0.987383i | \(-0.449382\pi\) |
−0.832373 | + | 0.554215i | \(0.813018\pi\) | |||||||
\(828\) | −0.589586 | − | 0.680418i | −0.0204895 | − | 0.0236462i | ||||
\(829\) | −41.6695 | + | 12.2353i | −1.44724 | + | 0.424948i | −0.908628 | − | 0.417606i | \(-0.862869\pi\) |
−0.538612 | + | 0.842554i | \(0.681051\pi\) | |||||||
\(830\) | −31.2539 | − | 36.0689i | −1.08484 | − | 1.25197i | ||||
\(831\) | 3.22745 | − | 22.4474i | 0.111959 | − | 0.778693i | ||||
\(832\) | −8.73721 | − | 2.56547i | −0.302908 | − | 0.0889418i | ||||
\(833\) | −21.5769 | −0.747595 | ||||||||
\(834\) | 3.12022 | 0.108044 | ||||||||
\(835\) | 28.7934 | + | 8.45451i | 0.996438 | + | 0.292581i | ||||
\(836\) | 0.921004 | − | 0.591894i | 0.0318536 | − | 0.0204711i | ||||
\(837\) | −14.2523 | + | 31.2081i | −0.492630 | + | 1.07871i | ||||
\(838\) | −4.02304 | + | 8.80923i | −0.138974 | + | 0.304310i | ||||
\(839\) | 33.3034 | − | 21.4028i | 1.14976 | − | 0.738907i | 0.180170 | − | 0.983635i | \(-0.442335\pi\) |
0.969592 | + | 0.244728i | \(0.0786988\pi\) | |||||||
\(840\) | −5.96566 | − | 1.75167i | −0.205835 | − | 0.0604385i | ||||
\(841\) | 60.3619 | 2.08145 | ||||||||
\(842\) | −53.0030 | −1.82661 | ||||||||
\(843\) | −12.9989 | − | 3.81683i | −0.447707 | − | 0.131459i | ||||
\(844\) | 1.25404 | − | 8.72207i | 0.0431660 | − | 0.300226i | ||||
\(845\) | 20.8311 | + | 24.0403i | 0.716610 | + | 0.827012i | ||||
\(846\) | −18.6670 | + | 5.48113i | −0.641786 | + | 0.188445i | ||||
\(847\) | −14.7558 | − | 17.0292i | −0.507017 | − | 0.585129i | ||||
\(848\) | 37.9631 | + | 24.3974i | 1.30366 | + | 0.837811i | ||||
\(849\) | 4.63332 | − | 2.97765i | 0.159015 | − | 0.102193i | ||||
\(850\) | −6.78428 | + | 47.1857i | −0.232699 | + | 1.61846i | ||||
\(851\) | 0.0453052 | + | 0.0291159i | 0.00155304 | + | 0.000998080i | ||||
\(852\) | 0.0603082 | − | 0.132057i | 0.00206613 | − | 0.00452419i | ||||
\(853\) | −14.5266 | + | 16.7645i | −0.497380 | + | 0.574007i | −0.947823 | − | 0.318798i | \(-0.896721\pi\) |
0.450443 | + | 0.892805i | \(0.351266\pi\) | |||||||
\(854\) | −53.0875 | − | 61.2662i | −1.81662 | − | 2.09649i | ||||
\(855\) | −0.145798 | − | 1.01405i | −0.00498620 | − | 0.0346798i | ||||
\(856\) | −3.19305 | + | 6.99181i | −0.109136 | + | 0.238975i | ||||
\(857\) | 1.52627 | − | 1.76141i | 0.0521364 | − | 0.0601686i | −0.729082 | − | 0.684426i | \(-0.760053\pi\) |
0.781219 | + | 0.624257i | \(0.214598\pi\) | |||||||
\(858\) | 12.7195 | − | 3.73478i | 0.434236 | − | 0.127503i | ||||
\(859\) | −18.1184 | + | 5.32004i | −0.618192 | + | 0.181518i | −0.575809 | − | 0.817584i | \(-0.695313\pi\) |
−0.0423825 | + | 0.999101i | \(0.513495\pi\) | |||||||
\(860\) | −3.14224 | − | 21.8548i | −0.107150 | − | 0.745242i | ||||
\(861\) | −8.26772 | + | 5.31334i | −0.281763 | + | 0.181078i | ||||
\(862\) | 17.1878 | + | 37.6361i | 0.585419 | + | 1.28189i | ||||
\(863\) | −11.4435 | − | 3.36011i | −0.389540 | − | 0.114379i | 0.0810968 | − | 0.996706i | \(-0.474158\pi\) |
−0.470637 | + | 0.882327i | \(0.655976\pi\) | |||||||
\(864\) | −15.0986 | − | 33.0614i | −0.513666 | − | 1.12477i | ||||
\(865\) | 2.53711 | − | 17.6460i | 0.0862643 | − | 0.599981i | ||||
\(866\) | −4.38176 | − | 30.4758i | −0.148898 | − | 1.03561i | ||||
\(867\) | −4.53856 | + | 5.23778i | −0.154138 | + | 0.177884i | ||||
\(868\) | 33.7256 | + | 21.6742i | 1.14472 | + | 0.735669i | ||||
\(869\) | 8.26031 | + | 18.0876i | 0.280212 | + | 0.613578i | ||||
\(870\) | 54.8751 | 1.86044 | ||||||||
\(871\) | 6.20282 | + | 12.6499i | 0.210174 | + | 0.428626i | ||||
\(872\) | −9.95442 | −0.337099 | ||||||||
\(873\) | −1.72477 | − | 3.77671i | −0.0583745 | − | 0.127822i | ||||
\(874\) | −0.0639984 | − | 0.0411293i | −0.00216478 | − | 0.00139122i | ||||
\(875\) | −0.304317 | + | 0.351201i | −0.0102878 | + | 0.0118728i | ||||
\(876\) | −1.85435 | − | 12.8973i | −0.0626527 | − | 0.435759i | ||||
\(877\) | −6.64943 | + | 46.2478i | −0.224535 | + | 1.56168i | 0.496039 | + | 0.868300i | \(0.334787\pi\) |
−0.720574 | + | 0.693378i | \(0.756122\pi\) | |||||||
\(878\) | −15.4577 | − | 33.8476i | −0.521671 | − | 1.14230i | ||||
\(879\) | 5.70876 | + | 1.67624i | 0.192552 | + | 0.0565383i | ||||
\(880\) | 25.0990 | + | 54.9591i | 0.846086 | + | 1.85267i | ||||
\(881\) | 40.8217 | − | 26.2345i | 1.37532 | − | 0.883864i | 0.376230 | − | 0.926526i | \(-0.377220\pi\) |
0.999090 | + | 0.0426625i | \(0.0135840\pi\) | |||||||
\(882\) | −2.49904 | − | 17.3812i | −0.0841472 | − | 0.585257i | ||||
\(883\) | −30.9664 | + | 9.09256i | −1.04210 | + | 0.305989i | −0.757623 | − | 0.652693i | \(-0.773639\pi\) |
−0.284480 | + | 0.958682i | \(0.591821\pi\) | |||||||
\(884\) | −13.6864 | + | 4.01868i | −0.460323 | + | 0.135163i | ||||
\(885\) | −25.3910 | + | 29.3028i | −0.853511 | + | 0.985004i | ||||
\(886\) | −7.64925 | + | 16.7495i | −0.256981 | + | 0.562711i | ||||
\(887\) | 0.157540 | + | 1.09571i | 0.00528967 | + | 0.0367905i | 0.992295 | − | 0.123895i | \(-0.0395386\pi\) |
−0.987006 | + | 0.160686i | \(0.948630\pi\) | |||||||
\(888\) | 0.0800638 | + | 0.0923985i | 0.00268676 | + | 0.00310069i | ||||
\(889\) | 9.56256 | − | 11.0358i | 0.320718 | − | 0.370128i | ||||
\(890\) | 41.0861 | − | 89.9660i | 1.37721 | − | 3.01567i | ||||
\(891\) | −5.76608 | − | 3.70564i | −0.193171 | − | 0.124144i | ||||
\(892\) | 0.972116 | − | 6.76122i | 0.0325489 | − | 0.226382i | ||||
\(893\) | −0.631856 | + | 0.406069i | −0.0211443 | + | 0.0135886i | ||||
\(894\) | −23.5222 | − | 15.1168i | −0.786699 | − | 0.505581i | ||||
\(895\) | −39.2323 | − | 45.2765i | −1.31139 | − | 1.51343i | ||||
\(896\) | 15.5781 | − | 4.57414i | 0.520427 | − | 0.152811i | ||||
\(897\) | −0.275612 | − | 0.318073i | −0.00920241 | − | 0.0106201i | ||||
\(898\) | −0.940490 | + | 6.54125i | −0.0313845 | + | 0.218284i | ||||
\(899\) | 64.0636 | + | 18.8108i | 2.13664 | + | 0.627374i | ||||
\(900\) | −17.7256 | −0.590854 | ||||||||
\(901\) | 49.0217 | 1.63315 | ||||||||
\(902\) | 23.6285 | + | 6.93796i | 0.786744 | + | 0.231009i | ||||
\(903\) | 11.2172 | − | 7.20889i | 0.373287 | − | 0.239897i | ||||
\(904\) | −0.229172 | + | 0.501816i | −0.00762213 | + | 0.0166901i | ||||
\(905\) | 11.2556 | − | 24.6464i | 0.374150 | − | 0.819273i | ||||
\(906\) | −18.2900 | + | 11.7543i | −0.607646 | + | 0.390510i | ||||
\(907\) | 27.0681 | + | 7.94791i | 0.898781 | + | 0.263906i | 0.698312 | − | 0.715794i | \(-0.253935\pi\) |
0.200470 | + | 0.979700i | \(0.435753\pi\) | |||||||
\(908\) | −11.7487 | −0.389894 | ||||||||
\(909\) | 16.0742 | 0.533149 | ||||||||
\(910\) | −33.8826 | − | 9.94882i | −1.12320 | − | 0.329800i | ||||
\(911\) | 7.95455 | − | 55.3251i | 0.263546 | − | 1.83300i | −0.242087 | − | 0.970255i | \(-0.577832\pi\) |
0.505633 | − | 0.862749i | \(-0.331259\pi\) | |||||||
\(912\) | −0.438610 | − | 0.506183i | −0.0145238 | − | 0.0167614i | ||||
\(913\) | −31.6604 | + | 9.29632i | −1.04781 | + | 0.307663i | ||||
\(914\) | 20.8202 | + | 24.0278i | 0.688673 | + | 0.794770i | ||||
\(915\) | −31.8671 | − | 20.4797i | −1.05349 | − | 0.677040i | ||||
\(916\) | 25.9153 | − | 16.6548i | 0.856266 | − | 0.550289i | ||||
\(917\) | −8.63013 | + | 60.0239i | −0.284992 | + | 1.98216i | ||||
\(918\) | −38.6242 | − | 24.8223i | −1.27479 | − | 0.819257i | ||||
\(919\) | −23.0502 | + | 50.4729i | −0.760356 | + | 1.66495i | −0.0135487 | + | 0.999908i | \(0.504313\pi\) |
−0.746808 | + | 0.665040i | \(0.768414\pi\) | |||||||
\(920\) | 0.323908 | − | 0.373810i | 0.0106789 | − | 0.0123242i | ||||
\(921\) | −13.3691 | − | 15.4288i | −0.440527 | − | 0.508395i | ||||
\(922\) | 0.683339 | + | 4.75273i | 0.0225046 | + | 0.156523i | ||||
\(923\) | −0.0646356 | + | 0.141532i | −0.00212751 | + | 0.00465859i | ||||
\(924\) | 14.9179 | − | 17.2162i | 0.490762 | − | 0.566370i | ||||
\(925\) | 1.01734 | − | 0.298718i | 0.0334500 | − | 0.00982180i | ||||
\(926\) | 38.6169 | − | 11.3389i | 1.26903 | − | 0.372621i | ||||
\(927\) | −0.688103 | − | 4.78586i | −0.0226003 | − | 0.157188i | ||||
\(928\) | −59.5046 | + | 38.2413i | −1.95333 | + | 1.25533i | ||||
\(929\) | 10.2759 | + | 22.5011i | 0.337142 | + | 0.738237i | 0.999944 | − | 0.0105570i | \(-0.00336045\pi\) |
−0.662803 | + | 0.748794i | \(0.730633\pi\) | |||||||
\(930\) | 39.3400 | + | 11.5513i | 1.29001 | + | 0.378781i | ||||
\(931\) | −0.281620 | − | 0.616662i | −0.00922973 | − | 0.0202103i | ||||
\(932\) | −2.24211 | + | 15.5942i | −0.0734429 | + | 0.510806i | ||||
\(933\) | −0.518287 | − | 3.60477i | −0.0169680 | − | 0.118015i | ||||
\(934\) | 45.7909 | − | 52.8455i | 1.49832 | − | 1.72916i | ||||
\(935\) | 55.2146 | + | 35.4843i | 1.80571 | + | 1.16046i | ||||
\(936\) | 0.909999 | + | 1.99262i | 0.0297443 | + | 0.0651308i | ||||
\(937\) | 34.2720 | 1.11962 | 0.559810 | − | 0.828621i | \(-0.310874\pi\) | ||||
0.559810 | + | 0.828621i | \(0.310874\pi\) | |||||||
\(938\) | 45.3486 | + | 27.4121i | 1.48068 | + | 0.895038i | ||||
\(939\) | 4.03899 | 0.131808 | ||||||||
\(940\) | 10.7505 | + | 23.5402i | 0.350641 | + | 0.767798i | ||||
\(941\) | −15.6246 | − | 10.0413i | −0.509346 | − | 0.327337i | 0.260599 | − | 0.965447i | \(-0.416080\pi\) |
−0.769945 | + | 0.638110i | \(0.779716\pi\) | |||||||
\(942\) | 2.73546 | − | 3.15689i | 0.0891261 | − | 0.102857i | ||||
\(943\) | −0.111267 | − | 0.773878i | −0.00362335 | − | 0.0252009i | ||||
\(944\) | 8.27092 | − | 57.5255i | 0.269195 | − | 1.87230i | ||||
\(945\) | −21.5733 | − | 47.2388i | −0.701778 | − | 1.53668i | ||||
\(946\) | −32.0580 | − | 9.41309i | −1.04230 | − | 0.306046i | ||||
\(947\) | −2.16073 | − | 4.73134i | −0.0702143 | − | 0.153748i | 0.871271 | − | 0.490803i | \(-0.163296\pi\) |
−0.941485 | + | 0.337055i | \(0.890569\pi\) | |||||||
\(948\) | −6.38927 | + | 4.10613i | −0.207514 | + | 0.133361i | ||||
\(949\) | 1.98741 | + | 13.8227i | 0.0645140 | + | 0.448705i | ||||
\(950\) | −1.43710 | + | 0.421971i | −0.0466258 | + | 0.0136906i | ||||
\(951\) | 7.77200 | − | 2.28207i | 0.252024 | − | 0.0740011i | ||||
\(952\) | 6.62965 | − | 7.65102i | 0.214868 | − | 0.247971i | ||||
\(953\) | 7.29464 | − | 15.9730i | 0.236297 | − | 0.517417i | −0.753918 | − | 0.656968i | \(-0.771839\pi\) |
0.990215 | + | 0.139551i | \(0.0445659\pi\) | |||||||
\(954\) | 5.67771 | + | 39.4893i | 0.183823 | + | 1.27851i | ||||
\(955\) | −6.52599 | − | 7.53139i | −0.211176 | − | 0.243710i | ||||
\(956\) | 6.85478 | − | 7.91083i | 0.221699 | − | 0.255855i | ||||
\(957\) | 15.7607 | − | 34.5112i | 0.509473 | − | 1.11559i | ||||
\(958\) | 0.0677195 | + | 0.0435207i | 0.00218792 | + | 0.00140609i | ||||
\(959\) | 3.56470 | − | 24.7930i | 0.115110 | − | 0.800608i | ||||
\(960\) | −13.4632 | + | 8.65226i | −0.434522 | + | 0.279250i | ||||
\(961\) | 15.8887 | + | 10.2110i | 0.512537 | + | 0.329388i | ||||
\(962\) | 0.454730 | + | 0.524787i | 0.0146611 | + | 0.0169198i | ||||
\(963\) | −25.2857 | + | 7.42455i | −0.814820 | + | 0.239253i | ||||
\(964\) | −2.96847 | − | 3.42579i | −0.0956079 | − | 0.110337i | ||||
\(965\) | 5.71457 | − | 39.7457i | 0.183959 | − | 1.27946i | ||||
\(966\) | −1.51883 | − | 0.445967i | −0.0488674 | − | 0.0143488i | ||||
\(967\) | 32.3574 | 1.04055 | 0.520273 | − | 0.854000i | \(-0.325830\pi\) | ||||
0.520273 | + | 0.854000i | \(0.325830\pi\) | |||||||
\(968\) | 4.06947 | 0.130798 | ||||||||
\(969\) | −0.698112 | − | 0.204984i | −0.0224266 | − | 0.00658504i | ||||
\(970\) | −10.1689 | + | 6.53514i | −0.326503 | + | 0.209831i | ||||
\(971\) | −2.69074 | + | 5.89190i | −0.0863500 | + | 0.189080i | −0.947881 | − | 0.318625i | \(-0.896779\pi\) |
0.861531 | + | 0.507705i | \(0.169506\pi\) | |||||||
\(972\) | 11.2727 | − | 24.6838i | 0.361573 | − | 0.791734i | ||||
\(973\) | −4.83434 | + | 3.10684i | −0.154982 | + | 0.0996009i | ||||
\(974\) | −27.3745 | − | 8.03789i | −0.877137 | − | 0.257551i | ||||
\(975\) | −8.28614 | −0.265369 | ||||||||
\(976\) | 56.7790 | 1.81745 | ||||||||
\(977\) | −6.67545 | − | 1.96009i | −0.213567 | − | 0.0627088i | 0.173199 | − | 0.984887i | \(-0.444590\pi\) |
−0.386766 | + | 0.922178i | \(0.626408\pi\) | |||||||
\(978\) | −1.06497 | + | 7.40701i | −0.0340539 | + | 0.236850i | ||||
\(979\) | −44.7796 | − | 51.6785i | −1.43116 | − | 1.65165i | ||||
\(980\) | −22.4118 | + | 6.58070i | −0.715919 | + | 0.210213i | ||||
\(981\) | −22.3499 | − | 25.7931i | −0.713576 | − | 0.823510i | ||||
\(982\) | −56.4004 | − | 36.2464i | −1.79981 | − | 1.15667i | ||||
\(983\) | −29.7392 | + | 19.1122i | −0.948532 | + | 0.609585i | −0.920802 | − | 0.390031i | \(-0.872464\pi\) |
−0.0277304 | + | 0.999615i | \(0.508828\pi\) | |||||||
\(984\) | 0.252599 | − | 1.75687i | 0.00805257 | − | 0.0560068i | ||||
\(985\) | −19.1454 | − | 12.3040i | −0.610023 | − | 0.392038i | ||||
\(986\) | −37.1178 | + | 81.2767i | −1.18207 | + | 2.58838i | ||||
\(987\) | −10.2344 | + | 11.8112i | −0.325766 | + | 0.375954i | ||||
\(988\) | −0.293487 | − | 0.338702i | −0.00933706 | − | 0.0107755i | ||||
\(989\) | 0.150962 | + | 1.04996i | 0.00480030 | + | 0.0333868i | ||||
\(990\) | −22.1893 | + | 48.5878i | −0.705223 | + | 1.54422i | ||||
\(991\) | −33.2163 | + | 38.3336i | −1.05515 | + | 1.21771i | −0.0798532 | + | 0.996807i | \(0.525445\pi\) |
−0.975296 | + | 0.220901i | \(0.929100\pi\) | |||||||
\(992\) | −50.7087 | + | 14.8894i | −1.61000 | + | 0.472739i | ||||
\(993\) | 14.0364 | − | 4.12145i | 0.445431 | − | 0.130790i | ||||
\(994\) | 0.0832832 | + | 0.579247i | 0.00264158 | + | 0.0183726i | ||||
\(995\) | −40.2278 | + | 25.8528i | −1.27531 | + | 0.819590i | ||||
\(996\) | −5.23559 | − | 11.4644i | −0.165896 | − | 0.363262i | ||||
\(997\) | 11.0148 | + | 3.23425i | 0.348843 | + | 0.102430i | 0.451460 | − | 0.892291i | \(-0.350903\pi\) |
−0.102617 | + | 0.994721i | \(0.532722\pi\) | |||||||
\(998\) | −7.66121 | − | 16.7757i | −0.242511 | − | 0.531026i | ||||
\(999\) | −0.145330 | + | 1.01079i | −0.00459803 | + | 0.0319800i |
(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 | 67.2.e.c.14.2 | ✓ | 20 | |
3.2 | odd | 2 | 603.2.u.c.550.2 | 20 | |||
67.15 | even | 11 | 4489.2.a.l.1.2 | 10 | |||
67.24 | even | 11 | inner | 67.2.e.c.24.2 | yes | 20 | |
67.52 | odd | 22 | 4489.2.a.m.1.9 | 10 | |||
201.158 | odd | 22 | 603.2.u.c.91.2 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
67.2.e.c.14.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
67.2.e.c.24.2 | yes | 20 | 67.24 | even | 11 | inner | |
603.2.u.c.91.2 | 20 | 201.158 | odd | 22 | |||
603.2.u.c.550.2 | 20 | 3.2 | odd | 2 | |||
4489.2.a.l.1.2 | 10 | 67.15 | even | 11 | |||
4489.2.a.m.1.9 | 10 | 67.52 | odd | 22 |