Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [495,2,Mod(91,495)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(495, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("495.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 495 = 3^{2} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 495.n (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.95259490005\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 5 x^{14} - 8 x^{13} + 47 x^{12} + 32 x^{11} + 171 x^{10} + 26 x^{9} + 360 x^{8} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 181.4 | ||
Root | \(-1.41763 + 1.02997i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 495.181 |
Dual form | 495.2.n.g.361.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/495\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(397\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.850504 | + | 2.61758i | 0.601397 | + | 1.85091i | 0.519884 | + | 0.854237i | \(0.325975\pi\) |
0.0815129 | + | 0.996672i | \(0.474025\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −4.51034 | + | 3.27695i | −2.25517 | + | 1.63848i | ||||
\(5\) | 0.309017 | − | 0.951057i | 0.138197 | − | 0.425325i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.21013 | + | 1.60575i | −0.835350 | + | 0.606917i | −0.921068 | − | 0.389402i | \(-0.872682\pi\) |
0.0857178 | + | 0.996319i | \(0.472682\pi\) | |||||||
\(8\) | −7.96046 | − | 5.78361i | −2.81445 | − | 2.04481i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.75229 | 0.870350 | ||||||||
\(11\) | −3.02195 | + | 1.36669i | −0.911152 | + | 0.412072i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.857468 | − | 2.63902i | −0.237819 | − | 0.731931i | −0.996735 | − | 0.0807428i | \(-0.974271\pi\) |
0.758916 | − | 0.651188i | \(-0.225729\pi\) | |||||||
\(14\) | −6.08291 | − | 4.41949i | −1.62573 | − | 1.18116i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.92308 | − | 15.1517i | 1.23077 | − | 3.78792i | ||||
\(17\) | −1.16845 | + | 3.59612i | −0.283391 | + | 0.872187i | 0.703486 | + | 0.710709i | \(0.251626\pi\) |
−0.986876 | + | 0.161477i | \(0.948374\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.43983 | + | 2.49918i | 0.789151 | + | 0.573352i | 0.907711 | − | 0.419595i | \(-0.137828\pi\) |
−0.118561 | + | 0.992947i | \(0.537828\pi\) | |||||||
\(20\) | 1.72280 | + | 5.30222i | 0.385229 | + | 1.18561i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.14759 | − | 6.74782i | −1.31067 | − | 1.43864i | ||||
\(23\) | −1.37658 | −0.287038 | −0.143519 | − | 0.989648i | \(-0.545842\pi\) | ||||
−0.143519 | + | 0.989648i | \(0.545842\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.809017 | − | 0.587785i | −0.161803 | − | 0.117557i | ||||
\(26\) | 6.17856 | − | 4.48898i | 1.21171 | − | 0.880362i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.70645 | − | 14.4850i | 0.889436 | − | 2.73740i | ||||
\(29\) | −7.17384 | + | 5.21210i | −1.33215 | + | 0.967862i | −0.332454 | + | 0.943119i | \(0.607877\pi\) |
−0.999694 | + | 0.0247431i | \(0.992123\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.68946 | + | 5.19964i | 0.303437 | + | 0.933883i | 0.980256 | + | 0.197733i | \(0.0633580\pi\) |
−0.676819 | + | 0.736149i | \(0.736642\pi\) | |||||||
\(32\) | 24.1685 | 4.27243 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −10.4069 | −1.78477 | ||||||||
\(35\) | 0.844194 | + | 2.59816i | 0.142695 | + | 0.439169i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.86189 | − | 1.35274i | 0.306093 | − | 0.222389i | −0.424125 | − | 0.905603i | \(-0.639418\pi\) |
0.730218 | + | 0.683214i | \(0.239418\pi\) | |||||||
\(38\) | −3.61622 | + | 11.1296i | −0.586629 | + | 1.80546i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −7.96046 | + | 5.78361i | −1.25866 | + | 0.914469i | ||||
\(41\) | −6.97314 | − | 5.06629i | −1.08902 | − | 0.791221i | −0.109788 | − | 0.993955i | \(-0.535017\pi\) |
−0.979234 | + | 0.202734i | \(0.935017\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 12.3981 | 1.89069 | 0.945346 | − | 0.326070i | \(-0.105724\pi\) | ||||
0.945346 | + | 0.326070i | \(0.105724\pi\) | |||||||
\(44\) | 9.15144 | − | 16.0670i | 1.37963 | − | 2.42219i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.17079 | − | 3.60332i | −0.172623 | − | 0.531280i | ||||
\(47\) | 4.52496 | + | 3.28757i | 0.660033 | + | 0.479542i | 0.866674 | − | 0.498875i | \(-0.166253\pi\) |
−0.206641 | + | 0.978417i | \(0.566253\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.143108 | − | 0.440442i | 0.0204440 | − | 0.0629202i | ||||
\(50\) | 0.850504 | − | 2.61758i | 0.120279 | − | 0.370182i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 12.5154 | + | 9.09297i | 1.73557 | + | 1.26097i | ||||
\(53\) | −0.168046 | − | 0.517191i | −0.0230828 | − | 0.0710417i | 0.938852 | − | 0.344322i | \(-0.111891\pi\) |
−0.961934 | + | 0.273281i | \(0.911891\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.365963 | + | 3.29637i | 0.0493464 | + | 0.444483i | ||||
\(56\) | 26.8807 | 3.59208 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −19.7445 | − | 14.3452i | −2.59258 | − | 1.88362i | ||||
\(59\) | −0.314933 | + | 0.228812i | −0.0410008 | + | 0.0297888i | −0.608097 | − | 0.793863i | \(-0.708067\pi\) |
0.567096 | + | 0.823652i | \(0.308067\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.43173 | + | 13.6395i | −0.567425 | + | 1.74635i | 0.0932105 | + | 0.995646i | \(0.470287\pi\) |
−0.660635 | + | 0.750707i | \(0.729713\pi\) | |||||||
\(62\) | −12.1736 | + | 8.84462i | −1.54605 | + | 1.12327i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 10.7092 | + | 32.9596i | 1.33865 | + | 4.11996i | ||||
\(65\) | −2.77482 | −0.344175 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.65454 | 0.446473 | 0.223237 | − | 0.974764i | \(-0.428338\pi\) | ||||
0.223237 | + | 0.974764i | \(0.428338\pi\) | |||||||
\(68\) | −6.51421 | − | 20.0487i | −0.789964 | − | 2.43126i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −6.08291 | + | 4.41949i | −0.727047 | + | 0.528230i | ||||
\(71\) | −2.83231 | + | 8.71697i | −0.336134 | + | 1.03451i | 0.630027 | + | 0.776573i | \(0.283044\pi\) |
−0.966161 | + | 0.257940i | \(0.916956\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.60178 | + | 4.79647i | −0.772680 | + | 0.561385i | −0.902773 | − | 0.430117i | \(-0.858472\pi\) |
0.130093 | + | 0.991502i | \(0.458472\pi\) | |||||||
\(74\) | 5.12445 | + | 3.72313i | 0.595706 | + | 0.432805i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −23.7045 | −2.71909 | ||||||||
\(77\) | 4.48433 | − | 7.87305i | 0.511037 | − | 0.897218i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.06521 | − | 3.27837i | −0.119845 | − | 0.368845i | 0.873082 | − | 0.487574i | \(-0.162118\pi\) |
−0.992927 | + | 0.118729i | \(0.962118\pi\) | |||||||
\(80\) | −12.8888 | − | 9.36425i | −1.44101 | − | 1.04695i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 7.33073 | − | 22.5617i | 0.809544 | − | 2.49152i | ||||
\(83\) | −1.43839 | + | 4.42691i | −0.157884 | + | 0.485916i | −0.998442 | − | 0.0558055i | \(-0.982227\pi\) |
0.840558 | + | 0.541722i | \(0.182227\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.05904 | + | 2.22252i | 0.331800 | + | 0.241066i | ||||
\(86\) | 10.5446 | + | 32.4530i | 1.13706 | + | 3.49950i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 31.9605 | + | 6.59832i | 3.40700 | + | 0.703383i | ||||
\(89\) | 6.62318 | 0.702056 | 0.351028 | − | 0.936365i | \(-0.385832\pi\) | ||||
0.351028 | + | 0.936365i | \(0.385832\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.13272 | + | 4.45568i | 0.642884 | + | 0.467082i | ||||
\(92\) | 6.20886 | − | 4.51100i | 0.647318 | − | 0.470304i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.75700 | + | 14.6405i | −0.490647 | + | 1.51006i | ||||
\(95\) | 3.43983 | − | 2.49918i | 0.352919 | − | 0.256411i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.12775 | − | 15.7816i | −0.520645 | − | 1.60238i | −0.772771 | − | 0.634685i | \(-0.781130\pi\) |
0.252126 | − | 0.967694i | \(-0.418870\pi\) | |||||||
\(98\) | 1.27461 | 0.128755 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.57509 | 0.557509 | ||||||||
\(101\) | 0.166576 | + | 0.512669i | 0.0165749 | + | 0.0510124i | 0.959002 | − | 0.283400i | \(-0.0914623\pi\) |
−0.942427 | + | 0.334412i | \(0.891462\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.94360 | − | 3.59174i | 0.487108 | − | 0.353905i | −0.316963 | − | 0.948438i | \(-0.602663\pi\) |
0.804071 | + | 0.594533i | \(0.202663\pi\) | |||||||
\(104\) | −8.43720 | + | 25.9670i | −0.827335 | + | 2.54628i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.21087 | − | 0.879746i | 0.117610 | − | 0.0854485i | ||||
\(107\) | −7.99070 | − | 5.80559i | −0.772490 | − | 0.561247i | 0.130225 | − | 0.991484i | \(-0.458430\pi\) |
−0.902716 | + | 0.430237i | \(0.858430\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.44683 | −0.521712 | −0.260856 | − | 0.965378i | \(-0.584005\pi\) | ||||
−0.260856 | + | 0.965378i | \(0.584005\pi\) | |||||||
\(110\) | −8.31727 | + | 3.76151i | −0.793020 | + | 0.358646i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 13.4492 | + | 41.3924i | 1.27083 | + | 3.91121i | ||||
\(113\) | −0.629096 | − | 0.457065i | −0.0591804 | − | 0.0429971i | 0.557802 | − | 0.829974i | \(-0.311645\pi\) |
−0.616982 | + | 0.786977i | \(0.711645\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.425388 | + | 1.30921i | −0.0396676 | + | 0.122084i | ||||
\(116\) | 15.2766 | − | 47.0167i | 1.41840 | − | 4.36539i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.866786 | − | 0.629757i | −0.0797941 | − | 0.0579738i | ||||
\(119\) | −3.19205 | − | 9.82412i | −0.292615 | − | 0.900576i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.26434 | − | 8.26011i | 0.660394 | − | 0.750919i | ||||
\(122\) | −39.4716 | −3.57359 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −24.6590 | − | 17.9158i | −2.21445 | − | 1.60889i | ||||
\(125\) | −0.809017 | + | 0.587785i | −0.0723607 | + | 0.0525731i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.33823 | − | 4.11865i | 0.118749 | − | 0.365471i | −0.873962 | − | 0.485995i | \(-0.838457\pi\) |
0.992710 | + | 0.120524i | \(0.0384574\pi\) | |||||||
\(128\) | −38.0608 | + | 27.6528i | −3.36413 | + | 2.44419i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.36000 | − | 7.26333i | −0.206986 | − | 0.637036i | ||||
\(131\) | −11.7312 | −1.02496 | −0.512478 | − | 0.858700i | \(-0.671272\pi\) | ||||
−0.512478 | + | 0.858700i | \(0.671272\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −11.6155 | −1.00719 | ||||||||
\(134\) | 3.10820 | + | 9.56606i | 0.268508 | + | 0.826381i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 30.0999 | − | 21.8689i | 2.58105 | − | 1.87524i | ||||
\(137\) | 4.19773 | − | 12.9193i | 0.358636 | − | 1.10377i | −0.595235 | − | 0.803552i | \(-0.702941\pi\) |
0.953871 | − | 0.300216i | \(-0.0970589\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.73424 | − | 7.07234i | 0.825647 | − | 0.599868i | −0.0926772 | − | 0.995696i | \(-0.529542\pi\) |
0.918325 | + | 0.395828i | \(0.129542\pi\) | |||||||
\(140\) | −12.3217 | − | 8.95221i | −1.04137 | − | 0.756600i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −25.2263 | −2.11694 | ||||||||
\(143\) | 6.19793 | + | 6.80308i | 0.518297 | + | 0.568902i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.74016 | + | 8.43335i | 0.227558 | + | 0.700352i | ||||
\(146\) | −18.1700 | − | 13.2013i | −1.50376 | − | 1.09255i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.96488 | + | 12.2026i | −0.325911 | + | 1.00305i | ||||
\(149\) | −4.26239 | + | 13.1183i | −0.349188 | + | 1.07469i | 0.610115 | + | 0.792313i | \(0.291123\pi\) |
−0.959303 | + | 0.282378i | \(0.908877\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 13.7584 | + | 9.99604i | 1.11964 | + | 0.813466i | 0.984154 | − | 0.177313i | \(-0.0567405\pi\) |
0.135486 | + | 0.990779i | \(0.456741\pi\) | |||||||
\(152\) | −12.9283 | − | 39.7892i | −1.04862 | − | 3.22733i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 24.4223 | + | 5.04204i | 1.96800 | + | 0.406299i | ||||
\(155\) | 5.46722 | 0.439138 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.92121 | + | 2.12238i | 0.233138 | + | 0.169385i | 0.698221 | − | 0.715883i | \(-0.253975\pi\) |
−0.465083 | + | 0.885267i | \(0.653975\pi\) | |||||||
\(158\) | 7.67543 | − | 5.57652i | 0.610624 | − | 0.443644i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 7.46848 | − | 22.9856i | 0.590435 | − | 1.81717i | ||||
\(161\) | 3.04243 | − | 2.21045i | 0.239777 | − | 0.174208i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.11971 | − | 3.44612i | −0.0877027 | − | 0.269921i | 0.897581 | − | 0.440850i | \(-0.145323\pi\) |
−0.985283 | + | 0.170929i | \(0.945323\pi\) | |||||||
\(164\) | 48.0532 | 3.75233 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −12.8111 | −0.994337 | ||||||||
\(167\) | 0.701987 | + | 2.16049i | 0.0543214 | + | 0.167184i | 0.974536 | − | 0.224229i | \(-0.0719864\pi\) |
−0.920215 | + | 0.391413i | \(0.871986\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.28807 | − | 3.11547i | 0.329852 | − | 0.239651i | ||||
\(170\) | −3.21591 | + | 9.89755i | −0.246649 | + | 0.759107i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −55.9196 | + | 40.6280i | −4.26383 | + | 3.09785i | ||||
\(173\) | 15.5901 | + | 11.3269i | 1.18530 | + | 0.861169i | 0.992759 | − | 0.120121i | \(-0.0383282\pi\) |
0.192538 | + | 0.981290i | \(0.438328\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.73187 | 0.206510 | ||||||||
\(176\) | 5.83031 | + | 52.5159i | 0.439476 | + | 3.95853i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.63304 | + | 17.3367i | 0.422214 | + | 1.29944i | ||||
\(179\) | 5.88061 | + | 4.27251i | 0.439537 | + | 0.319343i | 0.785451 | − | 0.618924i | \(-0.212431\pi\) |
−0.345914 | + | 0.938266i | \(0.612431\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.50887 | + | 7.72150i | −0.186483 | + | 0.573934i | −0.999971 | − | 0.00764707i | \(-0.997566\pi\) |
0.813488 | + | 0.581581i | \(0.197566\pi\) | |||||||
\(182\) | −6.44721 | + | 19.8425i | −0.477899 | + | 1.47082i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 10.9582 | + | 7.96162i | 0.807852 | + | 0.586939i | ||||
\(185\) | −0.711178 | − | 2.18878i | −0.0522869 | − | 0.160922i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.38377 | − | 12.4642i | −0.101191 | − | 0.911471i | ||||
\(188\) | −31.1823 | −2.27420 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 9.46740 | + | 6.87847i | 0.686837 | + | 0.499016i | ||||
\(191\) | 16.1974 | − | 11.7681i | 1.17201 | − | 0.851512i | 0.180758 | − | 0.983528i | \(-0.442145\pi\) |
0.991248 | + | 0.132016i | \(0.0421450\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.04819 | + | 18.6144i | −0.435359 | + | 1.33990i | 0.457360 | + | 0.889282i | \(0.348795\pi\) |
−0.892719 | + | 0.450614i | \(0.851205\pi\) | |||||||
\(194\) | 36.9485 | − | 26.8446i | 2.65274 | − | 1.92733i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.797840 | + | 2.45550i | 0.0569886 | + | 0.175393i | ||||
\(197\) | 22.9044 | 1.63187 | 0.815937 | − | 0.578141i | \(-0.196222\pi\) | ||||
0.815937 | + | 0.578141i | \(0.196222\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −17.3671 | −1.23112 | −0.615560 | − | 0.788090i | \(-0.711070\pi\) | ||||
−0.615560 | + | 0.788090i | \(0.711070\pi\) | |||||||
\(200\) | 3.04062 | + | 9.35808i | 0.215005 | + | 0.661716i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.20028 | + | 0.872053i | −0.0844513 | + | 0.0613574i | ||||
\(203\) | 7.48576 | − | 23.0388i | 0.525398 | − | 1.61701i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.97314 | + | 5.06629i | −0.487026 | + | 0.353845i | ||||
\(206\) | 13.6062 | + | 9.88550i | 0.947990 | + | 0.688755i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −44.2069 | −3.06520 | ||||||||
\(209\) | −13.8106 | − | 2.85123i | −0.955298 | − | 0.197224i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.13295 | + | 15.7976i | 0.353367 | + | 1.08755i | 0.956950 | + | 0.290252i | \(0.0937391\pi\) |
−0.603583 | + | 0.797300i | \(0.706261\pi\) | |||||||
\(212\) | 2.45275 | + | 1.78203i | 0.168456 | + | 0.122390i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 8.40047 | − | 25.8540i | 0.574244 | − | 1.76734i | ||||
\(215\) | 3.83122 | − | 11.7913i | 0.261287 | − | 0.804159i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −12.0833 | − | 8.77901i | −0.820266 | − | 0.595958i | ||||
\(218\) | −4.63255 | − | 14.2575i | −0.313756 | − | 0.965641i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −12.4527 | − | 13.6685i | −0.839559 | − | 0.921531i | ||||
\(221\) | 10.4921 | 0.705776 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.24917 | + | 5.26683i | 0.485440 | + | 0.352693i | 0.803428 | − | 0.595402i | \(-0.203007\pi\) |
−0.317988 | + | 0.948095i | \(0.603007\pi\) | |||||||
\(224\) | −53.4155 | + | 38.8086i | −3.56897 | + | 2.59301i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.661356 | − | 2.03545i | 0.0439928 | − | 0.135396i | ||||
\(227\) | −0.858807 | + | 0.623960i | −0.0570010 | + | 0.0414137i | −0.615921 | − | 0.787808i | \(-0.711216\pi\) |
0.558920 | + | 0.829222i | \(0.311216\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.80884 | − | 5.56705i | −0.119532 | − | 0.367881i | 0.873334 | − | 0.487123i | \(-0.161954\pi\) |
−0.992865 | + | 0.119242i | \(0.961954\pi\) | |||||||
\(230\) | −3.78875 | −0.249823 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 87.2518 | 5.72836 | ||||||||
\(233\) | 0.580093 | + | 1.78534i | 0.0380031 | + | 0.116962i | 0.968258 | − | 0.249951i | \(-0.0804146\pi\) |
−0.930255 | + | 0.366913i | \(0.880415\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.52496 | − | 3.28757i | 0.295176 | − | 0.214458i | ||||
\(236\) | 0.670648 | − | 2.06404i | 0.0436554 | − | 0.134358i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 23.0006 | − | 16.7109i | 1.49091 | − | 1.08321i | ||||
\(239\) | −1.65086 | − | 1.19942i | −0.106785 | − | 0.0775841i | 0.533111 | − | 0.846045i | \(-0.321023\pi\) |
−0.639896 | + | 0.768461i | \(0.721023\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 15.3922 | 0.991500 | 0.495750 | − | 0.868465i | \(-0.334893\pi\) | ||||
0.495750 | + | 0.868465i | \(0.334893\pi\) | |||||||
\(242\) | 27.7999 | + | 11.9897i | 1.78704 | + | 0.770729i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −24.7073 | − | 76.0411i | −1.58172 | − | 4.86804i | ||||
\(245\) | −0.374662 | − | 0.272208i | −0.0239363 | − | 0.0173907i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.64584 | − | 11.2207i | 0.231979 | − | 0.713958i | ||||
\(248\) | 16.6238 | − | 51.1627i | 1.05561 | − | 3.24883i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.22665 | − | 1.61775i | −0.140826 | − | 0.102316i | ||||
\(251\) | 4.14616 | + | 12.7606i | 0.261703 | + | 0.805439i | 0.992435 | + | 0.122774i | \(0.0391791\pi\) |
−0.730732 | + | 0.682665i | \(0.760821\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.15996 | − | 1.88136i | 0.261535 | − | 0.118280i | ||||
\(254\) | 11.9191 | 0.747869 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −48.6801 | − | 35.3681i | −3.04250 | − | 2.21051i | ||||
\(257\) | −7.77754 | + | 5.65071i | −0.485150 | + | 0.352482i | −0.803316 | − | 0.595553i | \(-0.796933\pi\) |
0.318166 | + | 0.948035i | \(0.396933\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.94285 | + | 5.97946i | −0.120723 | + | 0.371546i | ||||
\(260\) | 12.5154 | − | 9.09297i | 0.776172 | − | 0.563922i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −9.97740 | − | 30.7073i | −0.616406 | − | 1.89710i | ||||
\(263\) | −23.4178 | −1.44400 | −0.722002 | − | 0.691891i | \(-0.756778\pi\) | ||||
−0.722002 | + | 0.691891i | \(0.756778\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.543807 | −0.0334058 | ||||||||
\(266\) | −9.87905 | − | 30.4046i | −0.605723 | − | 1.86422i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −16.4832 | + | 11.9758i | −1.00687 | + | 0.731536i | ||||
\(269\) | 2.92395 | − | 8.99899i | 0.178276 | − | 0.548678i | −0.821492 | − | 0.570221i | \(-0.806858\pi\) |
0.999768 | + | 0.0215424i | \(0.00685769\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −20.6671 | + | 15.0155i | −1.25544 | + | 0.912128i | −0.998524 | − | 0.0543073i | \(-0.982705\pi\) |
−0.256912 | + | 0.966435i | \(0.582705\pi\) | |||||||
\(272\) | 48.7348 | + | 35.4079i | 2.95498 | + | 2.14692i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 37.3874 | 2.25866 | ||||||||
\(275\) | 3.24813 | + | 0.670584i | 0.195869 | + | 0.0404377i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.43703 | − | 4.42272i | −0.0863427 | − | 0.265736i | 0.898558 | − | 0.438854i | \(-0.144616\pi\) |
−0.984901 | + | 0.173119i | \(0.944616\pi\) | |||||||
\(278\) | 26.7914 | + | 19.4651i | 1.60684 | + | 1.16744i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 8.30658 | − | 25.5650i | 0.496413 | − | 1.52780i | ||||
\(281\) | 3.33872 | − | 10.2755i | 0.199172 | − | 0.612987i | −0.800731 | − | 0.599024i | \(-0.795555\pi\) |
0.999903 | − | 0.0139628i | \(-0.00444464\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.62343 | − | 1.17949i | −0.0965028 | − | 0.0701134i | 0.538487 | − | 0.842634i | \(-0.318996\pi\) |
−0.634990 | + | 0.772520i | \(0.718996\pi\) | |||||||
\(284\) | −15.7904 | − | 48.5978i | −0.936987 | − | 2.88375i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −12.5362 | + | 22.0096i | −0.741283 | + | 1.30146i | ||||
\(287\) | 23.5467 | 1.38992 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.18650 | + | 1.58859i | 0.128618 | + | 0.0934462i | ||||
\(290\) | −19.7445 | + | 14.3452i | −1.15943 | + | 0.842379i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 14.0584 | − | 43.2675i | 0.822708 | − | 2.53204i | ||||
\(293\) | 0.487479 | − | 0.354174i | 0.0284788 | − | 0.0206911i | −0.573455 | − | 0.819237i | \(-0.694397\pi\) |
0.601934 | + | 0.798546i | \(0.294397\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.120294 | + | 0.370226i | 0.00700377 | + | 0.0215554i | ||||
\(296\) | −22.6452 | −1.31623 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −37.9633 | −2.19916 | ||||||||
\(299\) | 1.18038 | + | 3.63283i | 0.0682629 | + | 0.210092i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −27.4014 | + | 19.9083i | −1.57939 | + | 1.14749i | ||||
\(302\) | −14.4639 | + | 44.5153i | −0.832304 | + | 2.56157i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 54.8013 | − | 39.8155i | 3.14307 | − | 2.28357i | ||||
\(305\) | 11.6024 | + | 8.42965i | 0.664352 | + | 0.482680i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 30.7715 | 1.75622 | 0.878112 | − | 0.478454i | \(-0.158803\pi\) | ||||
0.878112 | + | 0.478454i | \(0.158803\pi\) | |||||||
\(308\) | 5.57376 | + | 50.2051i | 0.317595 | + | 2.86070i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.64989 | + | 14.3109i | 0.264096 | + | 0.812804i | ||||
\(311\) | 1.16730 | + | 0.848096i | 0.0661917 | + | 0.0480911i | 0.620389 | − | 0.784294i | \(-0.286975\pi\) |
−0.554197 | + | 0.832385i | \(0.686975\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.26167 | − | 22.3491i | 0.410454 | − | 1.26325i | −0.505801 | − | 0.862650i | \(-0.668803\pi\) |
0.916255 | − | 0.400596i | \(-0.131197\pi\) | |||||||
\(314\) | −3.07101 | + | 9.45160i | −0.173307 | + | 0.533384i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 15.5475 | + | 11.2959i | 0.874615 | + | 0.635445i | ||||
\(317\) | −4.42454 | − | 13.6173i | −0.248507 | − | 0.764825i | −0.995040 | − | 0.0994767i | \(-0.968283\pi\) |
0.746533 | − | 0.665348i | \(-0.231717\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 14.5557 | − | 25.5551i | 0.814960 | − | 1.43081i | ||||
\(320\) | 34.6558 | 1.93732 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 8.37363 | + | 6.08380i | 0.466644 | + | 0.339037i | ||||
\(323\) | −13.0066 | + | 9.44986i | −0.723707 | + | 0.525804i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.857468 | + | 2.63902i | −0.0475638 | + | 0.146386i | ||||
\(326\) | 8.06818 | − | 5.86188i | 0.446855 | − | 0.324659i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 26.2080 | + | 80.6599i | 1.44709 | + | 4.45370i | ||||
\(329\) | −15.2798 | −0.842400 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.93282 | −0.271132 | −0.135566 | − | 0.990768i | \(-0.543285\pi\) | ||||
−0.135566 | + | 0.990768i | \(0.543285\pi\) | |||||||
\(332\) | −8.01914 | − | 24.6804i | −0.440108 | − | 1.35451i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.05823 | + | 3.67502i | −0.276774 | + | 0.201088i | ||||
\(335\) | 1.12932 | − | 3.47567i | 0.0617011 | − | 0.189896i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.22343 | + | 4.52159i | −0.339012 | + | 0.246306i | −0.744245 | − | 0.667907i | \(-0.767190\pi\) |
0.405233 | + | 0.914213i | \(0.367190\pi\) | |||||||
\(338\) | 11.8020 | + | 8.57466i | 0.641944 | + | 0.466400i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −21.0804 | −1.14325 | ||||||||
\(341\) | −12.2118 | − | 13.4041i | −0.661303 | − | 0.725871i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.51840 | − | 16.9839i | −0.297966 | − | 0.917045i | ||||
\(344\) | −98.6945 | − | 71.7057i | −5.32125 | − | 3.86611i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −16.3896 | + | 50.4420i | −0.881111 | + | 2.71178i | ||||
\(347\) | 5.30460 | − | 16.3259i | 0.284766 | − | 0.876420i | −0.701703 | − | 0.712470i | \(-0.747576\pi\) |
0.986469 | − | 0.163950i | \(-0.0524235\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −19.6433 | − | 14.2717i | −1.05148 | − | 0.763948i | −0.0789902 | − | 0.996875i | \(-0.525170\pi\) |
−0.972494 | + | 0.232927i | \(0.925170\pi\) | |||||||
\(350\) | 2.32346 | + | 7.15089i | 0.124194 | + | 0.382231i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −73.0359 | + | 33.0308i | −3.89283 | + | 1.76055i | ||||
\(353\) | −5.84602 | −0.311152 | −0.155576 | − | 0.987824i | \(-0.549723\pi\) | ||||
−0.155576 | + | 0.987824i | \(0.549723\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.41509 | + | 5.38738i | 0.393552 | + | 0.285932i | ||||
\(356\) | −29.8728 | + | 21.7038i | −1.58325 | + | 1.15030i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −6.18217 | + | 19.0268i | −0.326738 | + | 1.00560i | ||||
\(359\) | −6.58896 | + | 4.78716i | −0.347752 | + | 0.252656i | −0.747925 | − | 0.663783i | \(-0.768950\pi\) |
0.400173 | + | 0.916439i | \(0.368950\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.284813 | − | 0.876565i | −0.0149902 | − | 0.0461350i | ||||
\(362\) | −22.3454 | −1.17445 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −42.2617 | −2.21512 | ||||||||
\(365\) | 2.52166 | + | 7.76086i | 0.131989 | + | 0.406222i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.3442 | + | 13.3279i | −0.957561 | + | 0.695709i | −0.952583 | − | 0.304279i | \(-0.901585\pi\) |
−0.00497831 | + | 0.999988i | \(0.501585\pi\) | |||||||
\(368\) | −6.77703 | + | 20.8575i | −0.353277 | + | 1.08727i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 5.12445 | − | 3.72313i | 0.266408 | − | 0.193556i | ||||
\(371\) | 1.20188 | + | 0.873219i | 0.0623987 | + | 0.0453353i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.0566 | −0.727825 | −0.363913 | − | 0.931433i | \(-0.618559\pi\) | ||||
−0.363913 | + | 0.931433i | \(0.618559\pi\) | |||||||
\(374\) | 31.4491 | − | 14.2230i | 1.62619 | − | 0.735452i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −17.0067 | − | 52.3411i | −0.877052 | − | 2.69929i | ||||
\(377\) | 19.9061 | + | 14.4627i | 1.02522 | + | 0.744865i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.79252 | + | 23.9829i | −0.400275 | + | 1.23192i | 0.524502 | + | 0.851410i | \(0.324252\pi\) |
−0.924777 | + | 0.380511i | \(0.875748\pi\) | |||||||
\(380\) | −7.32509 | + | 22.5443i | −0.375769 | + | 1.15650i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 44.5800 | + | 32.3893i | 2.28091 | + | 1.65718i | ||||
\(383\) | −7.58065 | − | 23.3308i | −0.387353 | − | 1.19215i | −0.934759 | − | 0.355283i | \(-0.884385\pi\) |
0.547406 | − | 0.836867i | \(-0.315615\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −6.10198 | − | 6.69776i | −0.310986 | − | 0.341349i | ||||
\(386\) | −53.8688 | −2.74185 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 74.8435 | + | 54.3770i | 3.79960 | + | 2.76057i | ||||
\(389\) | −19.5464 | + | 14.2013i | −0.991044 | + | 0.720035i | −0.960149 | − | 0.279487i | \(-0.909836\pi\) |
−0.0308944 | + | 0.999523i | \(0.509836\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.60847 | − | 4.95036i | 0.0813437 | − | 0.250350i | ||||
\(392\) | −3.68655 | + | 2.67843i | −0.186199 | + | 0.135281i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 19.4803 | + | 59.9542i | 0.981404 | + | 3.02045i | ||||
\(395\) | −3.44708 | −0.173441 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −29.4680 | −1.47896 | −0.739479 | − | 0.673179i | \(-0.764928\pi\) | ||||
−0.739479 | + | 0.673179i | \(0.764928\pi\) | |||||||
\(398\) | −14.7708 | − | 45.4597i | −0.740392 | − | 2.27869i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −12.8888 | + | 9.36425i | −0.644439 | + | 0.468212i | ||||
\(401\) | −1.41465 | + | 4.35386i | −0.0706444 | + | 0.217421i | −0.980145 | − | 0.198281i | \(-0.936464\pi\) |
0.909501 | + | 0.415702i | \(0.136464\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 12.2733 | − | 8.91705i | 0.611375 | − | 0.444190i | ||||
\(404\) | −2.43131 | − | 1.76645i | −0.120962 | − | 0.0878840i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 66.6726 | 3.30891 | ||||||||
\(407\) | −3.77776 | + | 6.63253i | −0.187256 | + | 0.328762i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.87483 | − | 18.0809i | −0.290492 | − | 0.894041i | −0.984699 | − | 0.174266i | \(-0.944245\pi\) |
0.694207 | − | 0.719775i | \(-0.255755\pi\) | |||||||
\(410\) | −19.1921 | − | 13.9439i | −0.947830 | − | 0.688639i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −10.5274 | + | 32.3999i | −0.518646 | + | 1.59623i | ||||
\(413\) | 0.328627 | − | 1.01141i | 0.0161707 | − | 0.0497682i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.76575 | + | 2.73598i | 0.184853 | + | 0.134304i | ||||
\(416\) | −20.7237 | − | 63.7810i | −1.01606 | − | 3.12712i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −4.28263 | − | 38.5753i | −0.209470 | − | 1.88678i | ||||
\(419\) | −2.54104 | −0.124138 | −0.0620690 | − | 0.998072i | \(-0.519770\pi\) | ||||
−0.0620690 | + | 0.998072i | \(0.519770\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.66151 | − | 1.20716i | −0.0809770 | − | 0.0588333i | 0.546560 | − | 0.837420i | \(-0.315937\pi\) |
−0.627537 | + | 0.778587i | \(0.715937\pi\) | |||||||
\(422\) | −36.9859 | + | 26.8718i | −1.80045 | + | 1.30810i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.65351 | + | 5.08899i | −0.0803016 | + | 0.247143i | ||||
\(425\) | 3.05904 | − | 2.22252i | 0.148385 | − | 0.107808i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.1069 | − | 37.2612i | −0.585894 | − | 1.80320i | ||||
\(428\) | 55.0654 | 2.66169 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 34.1231 | 1.64556 | ||||||||
\(431\) | 11.7090 | + | 36.0366i | 0.564003 | + | 1.73582i | 0.670895 | + | 0.741552i | \(0.265910\pi\) |
−0.106892 | + | 0.994271i | \(0.534090\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −7.36735 | + | 5.35269i | −0.354052 | + | 0.257234i | −0.750567 | − | 0.660794i | \(-0.770220\pi\) |
0.396515 | + | 0.918028i | \(0.370220\pi\) | |||||||
\(434\) | 12.7029 | − | 39.0955i | 0.609759 | − | 1.87664i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 24.5670 | − | 17.8490i | 1.17655 | − | 0.854812i | ||||
\(437\) | −4.73521 | − | 3.44033i | −0.226516 | − | 0.164573i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 31.0675 | 1.48277 | 0.741385 | − | 0.671079i | \(-0.234169\pi\) | ||||
0.741385 | + | 0.671079i | \(0.234169\pi\) | |||||||
\(440\) | 16.1517 | − | 28.3572i | 0.770002 | − | 1.35188i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 8.92358 | + | 27.4640i | 0.424452 | + | 1.30633i | ||||
\(443\) | 12.0635 | + | 8.76465i | 0.573155 | + | 0.416421i | 0.836250 | − | 0.548349i | \(-0.184743\pi\) |
−0.263095 | + | 0.964770i | \(0.584743\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.04667 | − | 6.29902i | 0.0970217 | − | 0.298602i | ||||
\(446\) | −7.62091 | + | 23.4547i | −0.360861 | + | 1.11061i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −76.5938 | − | 55.6487i | −3.61872 | − | 2.62915i | ||||
\(449\) | 7.91389 | + | 24.3565i | 0.373480 | + | 1.14945i | 0.944499 | + | 0.328515i | \(0.106548\pi\) |
−0.571019 | + | 0.820937i | \(0.693452\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 27.9965 | + | 5.77995i | 1.31830 | + | 0.272167i | ||||
\(452\) | 4.33522 | 0.203911 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.36368 | − | 1.71732i | −0.110933 | − | 0.0805976i | ||||
\(455\) | 6.13272 | − | 4.45568i | 0.287506 | − | 0.208886i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.48022 | − | 7.63332i | 0.116020 | − | 0.357072i | −0.876139 | − | 0.482059i | \(-0.839889\pi\) |
0.992158 | + | 0.124987i | \(0.0398891\pi\) | |||||||
\(458\) | 13.0338 | − | 9.46958i | 0.609028 | − | 0.442485i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2.37157 | − | 7.29895i | −0.110575 | − | 0.340315i | ||||
\(461\) | 16.8858 | 0.786449 | 0.393225 | − | 0.919442i | \(-0.371360\pi\) | ||||
0.393225 | + | 0.919442i | \(0.371360\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.70959 | −0.218873 | −0.109437 | − | 0.993994i | \(-0.534905\pi\) | ||||
−0.109437 | + | 0.993994i | \(0.534905\pi\) | |||||||
\(464\) | 43.6547 | + | 134.355i | 2.02662 | + | 6.23728i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.17991 | + | 3.03688i | −0.193630 | + | 0.140681i | ||||
\(467\) | 4.76345 | − | 14.6604i | 0.220426 | − | 0.678402i | −0.778297 | − | 0.627896i | \(-0.783916\pi\) |
0.998724 | − | 0.0505066i | \(-0.0160836\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.07700 | + | 5.86829i | −0.372961 | + | 0.270972i | ||||
\(470\) | 12.4540 | + | 9.04834i | 0.574459 | + | 0.417369i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.83037 | 0.176307 | ||||||||
\(473\) | −37.4664 | + | 16.9443i | −1.72271 | + | 0.779100i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.31390 | − | 4.04376i | −0.0602857 | − | 0.185540i | ||||
\(476\) | 46.5904 | + | 33.8499i | 2.13547 | + | 1.55151i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 1.73552 | − | 5.34138i | 0.0793808 | − | 0.244309i | ||||
\(479\) | −3.04251 | + | 9.36388i | −0.139016 | + | 0.427847i | −0.996193 | − | 0.0871750i | \(-0.972216\pi\) |
0.857177 | + | 0.515022i | \(0.172216\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.16642 | − | 3.75362i | −0.235568 | − | 0.171150i | ||||
\(482\) | 13.0911 | + | 40.2904i | 0.596285 | + | 1.83518i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.69662 | + | 61.0608i | −0.258937 | + | 2.77549i | ||||
\(485\) | −16.5938 | −0.753484 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.61144 | + | 4.80349i | 0.299593 | + | 0.217667i | 0.727418 | − | 0.686194i | \(-0.240720\pi\) |
−0.427825 | + | 0.903862i | \(0.640720\pi\) | |||||||
\(488\) | 114.164 | − | 82.9449i | 5.16796 | − | 3.75474i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.393875 | − | 1.21222i | 0.0177934 | − | 0.0547626i | ||||
\(491\) | −31.2098 | + | 22.6752i | −1.40848 | + | 1.02332i | −0.414936 | + | 0.909851i | \(0.636196\pi\) |
−0.993542 | + | 0.113468i | \(0.963804\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.3611 | − | 31.8880i | −0.466638 | − | 1.43617i | ||||
\(494\) | 32.4720 | 1.46098 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 87.1006 | 3.91093 | ||||||||
\(497\) | −7.73751 | − | 23.8136i | −0.347075 | − | 1.06819i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.90088 | − | 1.38107i | 0.0850950 | − | 0.0618251i | −0.544424 | − | 0.838810i | \(-0.683252\pi\) |
0.629519 | + | 0.776985i | \(0.283252\pi\) | |||||||
\(500\) | 1.72280 | − | 5.30222i | 0.0770458 | − | 0.237123i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −29.8755 | + | 21.7058i | −1.33341 | + | 0.968777i | ||||
\(503\) | −5.13915 | − | 3.73381i | −0.229143 | − | 0.166482i | 0.467290 | − | 0.884104i | \(-0.345231\pi\) |
−0.696433 | + | 0.717622i | \(0.745231\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.539052 | 0.0239875 | ||||||||
\(506\) | 8.46267 | + | 9.28894i | 0.376212 | + | 0.412944i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 7.46075 | + | 22.9618i | 0.331017 | + | 1.01877i | ||||
\(509\) | −24.2744 | − | 17.6364i | −1.07594 | − | 0.781719i | −0.0989727 | − | 0.995090i | \(-0.531556\pi\) |
−0.976971 | + | 0.213371i | \(0.931556\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.88883 | − | 21.2016i | 0.304744 | − | 0.937906i | ||||
\(512\) | 22.1005 | − | 68.0184i | 0.976714 | − | 3.00602i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −21.4060 | − | 15.5524i | −0.944179 | − | 0.685986i | ||||
\(515\) | −1.88829 | − | 5.81156i | −0.0832079 | − | 0.256088i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −18.1673 | − | 3.75068i | −0.798995 | − | 0.164955i | ||||
\(518\) | −17.3041 | −0.760300 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 22.0889 | + | 16.0485i | 0.968661 | + | 0.703773i | ||||
\(521\) | 19.3706 | − | 14.0736i | 0.848641 | − | 0.616574i | −0.0761299 | − | 0.997098i | \(-0.524256\pi\) |
0.924771 | + | 0.380524i | \(0.124256\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −5.25118 | + | 16.1615i | −0.229618 | + | 0.706692i | 0.768172 | + | 0.640244i | \(0.221167\pi\) |
−0.997790 | + | 0.0664479i | \(0.978833\pi\) | |||||||
\(524\) | 52.9115 | − | 38.4425i | 2.31145 | − | 1.67937i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −19.9169 | − | 61.2980i | −0.868420 | − | 2.67272i | ||||
\(527\) | −20.6726 | −0.900511 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.1050 | −0.917609 | ||||||||
\(530\) | −0.462510 | − | 1.42346i | −0.0200901 | − | 0.0618311i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 52.3900 | − | 38.0635i | 2.27139 | − | 1.65026i | ||||
\(533\) | −7.39076 | + | 22.7464i | −0.320129 | + | 0.985257i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −7.99070 | + | 5.80559i | −0.345468 | + | 0.250997i | ||||
\(536\) | −29.0918 | − | 21.1364i | −1.25657 | − | 0.912955i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 26.0424 | 1.12277 | ||||||||
\(539\) | 0.169480 | + | 1.52658i | 0.00730003 | + | 0.0657542i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.384841 | + | 1.18442i | 0.0165456 | + | 0.0509221i | 0.958988 | − | 0.283445i | \(-0.0914774\pi\) |
−0.942443 | + | 0.334367i | \(0.891477\pi\) | |||||||
\(542\) | −56.8818 | − | 41.3270i | −2.44328 | − | 1.77515i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −28.2397 | + | 86.9127i | −1.21077 | + | 3.72635i | ||||
\(545\) | −1.68316 | + | 5.18024i | −0.0720988 | + | 0.221897i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.24250 | − | 4.53544i | −0.266910 | − | 0.193922i | 0.446278 | − | 0.894895i | \(-0.352749\pi\) |
−0.713188 | + | 0.700973i | \(0.752749\pi\) | |||||||
\(548\) | 23.4027 | + | 72.0261i | 0.999713 | + | 3.07680i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.00724 | + | 9.07256i | 0.0429487 | + | 0.386855i | ||||
\(551\) | −37.7027 | −1.60619 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 7.61848 | + | 5.53515i | 0.323971 | + | 0.235379i | ||||
\(554\) | 10.3546 | − | 7.52308i | 0.439926 | − | 0.319625i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −20.7290 | + | 63.7973i | −0.879105 | + | 2.70561i | ||||
\(557\) | −8.83599 | + | 6.41973i | −0.374393 | + | 0.272013i | −0.759030 | − | 0.651055i | \(-0.774327\pi\) |
0.384637 | + | 0.923068i | \(0.374327\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −10.6310 | − | 32.7188i | −0.449642 | − | 1.38386i | ||||
\(560\) | 43.5225 | 1.83916 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 29.7366 | 1.25436 | ||||||||
\(563\) | 3.77104 | + | 11.6061i | 0.158930 | + | 0.489137i | 0.998538 | − | 0.0540564i | \(-0.0172151\pi\) |
−0.839608 | + | 0.543193i | \(0.817215\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.629096 | + | 0.457065i | −0.0264663 | + | 0.0192289i | ||||
\(566\) | 1.70668 | − | 5.25262i | 0.0717370 | − | 0.220784i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 72.9620 | − | 53.0100i | 3.06142 | − | 2.22425i | ||||
\(569\) | −5.39492 | − | 3.91964i | −0.226167 | − | 0.164320i | 0.468931 | − | 0.883235i | \(-0.344639\pi\) |
−0.695098 | + | 0.718915i | \(0.744639\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.35392 | −0.391450 | −0.195725 | − | 0.980659i | \(-0.562706\pi\) | ||||
−0.195725 | + | 0.980659i | \(0.562706\pi\) | |||||||
\(572\) | −50.2481 | − | 10.3739i | −2.10098 | − | 0.433753i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 20.0266 | + | 61.6355i | 0.835894 | + | 2.57262i | ||||
\(575\) | 1.11368 | + | 0.809136i | 0.0464436 | + | 0.0337433i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.38517 | + | 10.4185i | −0.140927 | + | 0.433727i | −0.996465 | − | 0.0840124i | \(-0.973226\pi\) |
0.855538 | + | 0.517740i | \(0.173226\pi\) | |||||||
\(578\) | −2.29862 | + | 7.07444i | −0.0956102 | + | 0.294258i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −39.9948 | − | 29.0579i | −1.66069 | − | 1.20656i | ||||
\(581\) | −3.92949 | − | 12.0937i | −0.163023 | − | 0.501732i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.21466 | + | 1.33326i | 0.0503062 | + | 0.0552179i | ||||
\(584\) | 80.2941 | 3.32259 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.34168 | + | 0.974789i | 0.0554244 | + | 0.0402682i | ||||
\(587\) | 19.3936 | − | 14.0902i | 0.800458 | − | 0.581567i | −0.110590 | − | 0.993866i | \(-0.535274\pi\) |
0.911048 | + | 0.412299i | \(0.135274\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.18337 | + | 22.1081i | −0.295986 | + | 0.910950i | ||||
\(590\) | −0.866786 | + | 0.629757i | −0.0356850 | + | 0.0259267i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −11.3301 | − | 34.8704i | −0.465663 | − | 1.43316i | ||||
\(593\) | −2.17705 | −0.0894006 | −0.0447003 | − | 0.999000i | \(-0.514233\pi\) | ||||
−0.0447003 | + | 0.999000i | \(0.514233\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −10.3297 | −0.423476 | ||||||||
\(596\) | −23.7632 | − | 73.1356i | −0.973378 | − | 2.99575i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −8.50530 | + | 6.17946i | −0.347808 | + | 0.252697i | ||||
\(599\) | −8.89601 | + | 27.3791i | −0.363481 | + | 1.11868i | 0.587446 | + | 0.809263i | \(0.300133\pi\) |
−0.950927 | + | 0.309416i | \(0.899867\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.44390 | − | 6.13486i | 0.344434 | − | 0.250246i | −0.402096 | − | 0.915597i | \(-0.631718\pi\) |
0.746530 | + | 0.665351i | \(0.231718\pi\) | |||||||
\(602\) | −75.4165 | − | 54.7933i | −3.07375 | − | 2.23321i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −94.8115 | −3.85782 | ||||||||
\(605\) | −5.61103 | − | 9.46131i | −0.228121 | − | 0.384657i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.06265 | + | 27.8920i | 0.367842 | + | 1.13210i | 0.948182 | + | 0.317727i | \(0.102919\pi\) |
−0.580341 | + | 0.814374i | \(0.697081\pi\) | |||||||
\(608\) | 83.1355 | + | 60.4015i | 3.37159 | + | 2.44960i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −12.1974 | + | 37.5397i | −0.493858 | + | 1.51994i | ||||
\(611\) | 4.79595 | − | 14.7604i | 0.194023 | − | 0.597142i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 22.3217 | + | 16.2176i | 0.901563 | + | 0.655024i | 0.938867 | − | 0.344280i | \(-0.111877\pi\) |
−0.0373040 | + | 0.999304i | \(0.511877\pi\) | |||||||
\(614\) | 26.1713 | + | 80.5470i | 1.05619 | + | 3.25061i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −81.2320 | + | 36.7375i | −3.27293 | + | 1.48019i | ||||
\(617\) | 46.9079 | 1.88844 | 0.944220 | − | 0.329315i | \(-0.106818\pi\) | ||||
0.944220 | + | 0.329315i | \(0.106818\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 15.4577 | + | 11.2307i | 0.621296 | + | 0.451398i | 0.853374 | − | 0.521299i | \(-0.174552\pi\) |
−0.232078 | + | 0.972697i | \(0.574552\pi\) | |||||||
\(620\) | −24.6590 | + | 17.9158i | −0.990331 | + | 0.719517i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −1.22716 | + | 3.77682i | −0.0492048 | + | 0.151437i | ||||
\(623\) | −14.6381 | + | 10.6352i | −0.586462 | + | 0.426090i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.309017 | + | 0.951057i | 0.0123607 | + | 0.0380423i | ||||
\(626\) | 64.6767 | 2.58500 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −20.1306 | −0.803298 | ||||||||
\(629\) | 2.68909 | + | 8.27618i | 0.107221 | + | 0.329993i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 24.9280 | − | 18.1112i | 0.992368 | − | 0.720997i | 0.0319295 | − | 0.999490i | \(-0.489835\pi\) |
0.960438 | + | 0.278493i | \(0.0898348\pi\) | |||||||
\(632\) | −10.4813 | + | 32.2580i | −0.416922 | + | 1.28316i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 31.8814 | − | 23.1632i | 1.26617 | − | 0.919927i | ||||
\(635\) | −3.50353 | − | 2.54547i | −0.139034 | − | 0.101014i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.28504 | −0.0509152 | ||||||||
\(638\) | 79.2721 | + | 16.3659i | 3.13841 | + | 0.647933i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 14.5379 | + | 44.7432i | 0.574663 | + | 1.76863i | ||||
\(641\) | 4.27097 | + | 3.10304i | 0.168693 | + | 0.122563i | 0.668929 | − | 0.743327i | \(-0.266753\pi\) |
−0.500235 | + | 0.865889i | \(0.666753\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −13.5247 | + | 41.6249i | −0.533364 | + | 1.64152i | 0.213795 | + | 0.976879i | \(0.431418\pi\) |
−0.747158 | + | 0.664646i | \(0.768582\pi\) | |||||||
\(644\) | −6.47883 | + | 19.9398i | −0.255302 | + | 0.785737i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −35.7979 | − | 26.0087i | −1.40845 | − | 1.02330i | ||||
\(647\) | 9.70364 | + | 29.8647i | 0.381489 | + | 1.17410i | 0.938995 | + | 0.343930i | \(0.111758\pi\) |
−0.557506 | + | 0.830173i | \(0.688242\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.638996 | − | 1.12187i | 0.0250828 | − | 0.0440374i | ||||
\(650\) | −7.63712 | −0.299552 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 16.3431 | + | 11.8739i | 0.640044 | + | 0.465019i | ||||
\(653\) | −26.0527 | + | 18.9284i | −1.01952 | + | 0.740726i | −0.966185 | − | 0.257850i | \(-0.916986\pi\) |
−0.0533374 | + | 0.998577i | \(0.516986\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.62513 | + | 11.1570i | −0.141646 | + | 0.435940i | ||||
\(656\) | −111.092 | + | 80.7131i | −4.33742 | + | 3.15132i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −12.9955 | − | 39.9960i | −0.506617 | − | 1.55921i | ||||
\(659\) | 20.7286 | 0.807472 | 0.403736 | − | 0.914875i | \(-0.367711\pi\) | ||||
0.403736 | + | 0.914875i | \(0.367711\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −43.6387 | −1.69735 | −0.848673 | − | 0.528917i | \(-0.822598\pi\) | ||||
−0.848673 | + | 0.528917i | \(0.822598\pi\) | |||||||
\(662\) | −4.19538 | − | 12.9121i | −0.163058 | − | 0.501842i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 37.0537 | − | 26.9211i | 1.43796 | − | 1.04474i | ||||
\(665\) | −3.58940 | + | 11.0470i | −0.139191 | + | 0.428385i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.87539 | − | 7.17489i | 0.382377 | − | 0.277813i | ||||
\(668\) | −10.2460 | − | 7.44419i | −0.396431 | − | 0.288024i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 10.0583 | 0.388588 | ||||||||
\(671\) | −5.24841 | − | 47.2745i | −0.202613 | − | 1.82501i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.88682 | − | 27.3508i | −0.342562 | − | 1.05430i | −0.962876 | − | 0.269944i | \(-0.912995\pi\) |
0.620314 | − | 0.784353i | \(-0.287005\pi\) | |||||||
\(674\) | −17.1287 | − | 12.4447i | −0.659772 | − | 0.479352i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −9.13142 | + | 28.1036i | −0.351208 | + | 1.08091i | ||||
\(677\) | −4.31414 | + | 13.2776i | −0.165806 | + | 0.510298i | −0.999095 | − | 0.0425397i | \(-0.986455\pi\) |
0.833289 | + | 0.552838i | \(0.186455\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 36.6743 | + | 26.6455i | 1.40743 | + | 1.02256i | ||||
\(680\) | −11.4971 | − | 35.3846i | −0.440896 | − | 1.35694i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 24.7001 | − | 43.3655i | 0.945815 | − | 1.66055i | ||||
\(683\) | 12.1334 | 0.464272 | 0.232136 | − | 0.972683i | \(-0.425429\pi\) | ||||
0.232136 | + | 0.972683i | \(0.425429\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −10.9898 | − | 7.98455i | −0.419898 | − | 0.305074i | ||||
\(686\) | 39.7633 | − | 28.8897i | 1.51817 | − | 1.10302i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 61.0368 | − | 187.852i | 2.32700 | − | 7.16178i | ||||
\(689\) | −1.22078 | + | 0.886950i | −0.0465081 | + | 0.0337901i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.41129 | − | 22.8096i | −0.281939 | − | 0.867719i | −0.987300 | − | 0.158870i | \(-0.949215\pi\) |
0.705361 | − | 0.708849i | \(-0.250785\pi\) | |||||||
\(692\) | −107.435 | −4.08405 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 47.2459 | 1.79343 | ||||||||
\(695\) | −3.71815 | − | 11.4433i | −0.141037 | − | 0.434068i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 26.3667 | − | 19.1565i | 0.998711 | − | 0.725606i | ||||
\(698\) | 20.6507 | − | 63.5562i | 0.781639 | − | 2.40564i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −12.3217 | + | 8.95221i | −0.465715 | + | 0.338362i | ||||
\(701\) | 34.5576 | + | 25.1075i | 1.30522 | + | 0.948298i | 0.999992 | − | 0.00398054i | \(-0.00126705\pi\) |
0.305229 | + | 0.952279i | \(0.401267\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 9.78532 | 0.369060 | ||||||||
\(704\) | −77.4083 | − | 84.9661i | −2.91743 | − | 3.20228i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.97206 | − | 15.3024i | −0.187126 | − | 0.575914i | ||||
\(707\) | −1.19137 | − | 0.865583i | −0.0448062 | − | 0.0325536i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.28091 | + | 3.94224i | −0.0481057 | + | 0.148054i | −0.972224 | − | 0.234052i | \(-0.924801\pi\) |
0.924118 | + | 0.382106i | \(0.124801\pi\) | |||||||
\(710\) | −7.79534 | + | 23.9916i | −0.292554 | + | 0.900388i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −52.7235 | − | 38.3059i | −1.97590 | − | 1.43557i | ||||
\(713\) | −2.32569 | − | 7.15774i | −0.0870978 | − | 0.268059i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 8.38538 | − | 3.79232i | 0.313595 | − | 0.141825i | ||||
\(716\) | −40.5244 | −1.51447 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −18.1347 | − | 13.1756i | −0.676781 | − | 0.491710i | ||||
\(719\) | −21.3040 | + | 15.4783i | −0.794505 | + | 0.577241i | −0.909297 | − | 0.416148i | \(-0.863380\pi\) |
0.114792 | + | 0.993390i | \(0.463380\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.15856 | + | 15.8764i | −0.192115 | + | 0.591268i | ||||
\(722\) | 2.05224 | − | 1.49104i | 0.0763766 | − | 0.0554909i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −13.9871 | − | 43.0480i | −0.519828 | − | 1.59987i | ||||
\(725\) | 8.86735 | 0.329325 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 14.3772 | 0.533220 | 0.266610 | − | 0.963804i | \(-0.414096\pi\) | ||||
0.266610 | + | 0.963804i | \(0.414096\pi\) | |||||||
\(728\) | −23.0493 | − | 70.9385i | −0.854265 | − | 2.62916i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −18.1700 | + | 13.2013i | −0.672502 | + | 0.488601i | ||||
\(731\) | −14.4865 | + | 44.5850i | −0.535804 | + | 1.64904i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −27.8882 | + | 20.2620i | −1.03007 | + | 0.748393i | −0.968324 | − | 0.249699i | \(-0.919668\pi\) |
−0.0617509 | + | 0.998092i | \(0.519668\pi\) | |||||||
\(734\) | −50.4886 | − | 36.6821i | −1.86357 | − | 1.35396i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −33.2700 | −1.22635 | ||||||||
\(737\) | −11.0438 | + | 4.99461i | −0.406805 | + | 0.183979i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.55016 | − | 4.77090i | −0.0570235 | − | 0.175500i | 0.918488 | − | 0.395449i | \(-0.129411\pi\) |
−0.975511 | + | 0.219949i | \(0.929411\pi\) | |||||||
\(740\) | 10.3802 | + | 7.54165i | 0.381583 | + | 0.277237i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.26352 | + | 3.88870i | −0.0463851 | + | 0.142759i | ||||
\(743\) | 11.9473 | − | 36.7700i | 0.438303 | − | 1.34896i | −0.451360 | − | 0.892342i | \(-0.649061\pi\) |
0.889663 | − | 0.456617i | \(-0.150939\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 11.1591 | + | 8.10754i | 0.408837 | + | 0.297037i | ||||
\(746\) | −11.9552 | − | 36.7944i | −0.437712 | − | 1.34714i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 47.0858 | + | 51.6831i | 1.72163 | + | 1.88972i | ||||
\(749\) | 26.9828 | 0.985930 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.20753 | + | 3.05695i | 0.153535 | + | 0.111550i | 0.661901 | − | 0.749592i | \(-0.269750\pi\) |
−0.508365 | + | 0.861141i | \(0.669750\pi\) | |||||||
\(752\) | 72.0889 | − | 52.3757i | 2.62881 | − | 1.90994i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −20.9269 | + | 64.4065i | −0.762114 | + | 2.34555i | ||||
\(755\) | 13.7584 | − | 9.99604i | 0.500718 | − | 0.363793i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.91394 | + | 5.89049i | 0.0695632 | + | 0.214093i | 0.979795 | − | 0.200007i | \(-0.0640964\pi\) |
−0.910231 | + | 0.414100i | \(0.864096\pi\) | |||||||
\(758\) | −69.4048 | −2.52090 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −41.8369 | −1.51758 | ||||||||
\(761\) | −3.65297 | − | 11.2427i | −0.132420 | − | 0.407547i | 0.862760 | − | 0.505614i | \(-0.168734\pi\) |
−0.995180 | + | 0.0980670i | \(0.968734\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 12.0382 | − | 8.74626i | 0.435812 | − | 0.316636i | ||||
\(764\) | −34.4923 | + | 106.156i | −1.24789 | + | 3.84061i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 54.6230 | − | 39.6859i | 1.97361 | − | 1.43391i | ||||
\(767\) | 0.873884 | + | 0.634914i | 0.0315541 | + | 0.0229254i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.73424 | 0.0985992 | 0.0492996 | − | 0.998784i | \(-0.484301\pi\) | ||||
0.0492996 | + | 0.998784i | \(0.484301\pi\) | |||||||
\(770\) | 12.3422 | − | 21.6689i | 0.444781 | − | 0.780893i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −33.7192 | − | 103.777i | −1.21358 | − | 3.73502i | ||||
\(773\) | 1.24618 | + | 0.905406i | 0.0448221 | + | 0.0325652i | 0.609971 | − | 0.792424i | \(-0.291181\pi\) |
−0.565149 | + | 0.824989i | \(0.691181\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.68946 | − | 5.19964i | 0.0606874 | − | 0.186777i | ||||
\(776\) | −50.4554 | + | 155.286i | −1.81124 | + | 5.57443i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −53.7974 | − | 39.0861i | −1.92873 | − | 1.40131i | ||||
\(779\) | −11.3249 | − | 34.8543i | −0.405755 | − | 1.24879i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.35426 | − | 30.2131i | −0.120025 | − | 1.08111i | ||||
\(782\) | 14.3260 | 0.512296 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.96889 | − | 4.33665i | −0.213175 | − | 0.154881i | ||||
\(785\) | 2.92121 | − | 2.12238i | 0.104262 | − | 0.0757511i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −14.6565 | + | 45.1080i | −0.522446 | + | 1.60792i | 0.246864 | + | 0.969050i | \(0.420600\pi\) |
−0.769311 | + | 0.638875i | \(0.779400\pi\) | |||||||
\(788\) | −103.307 | + | 75.0568i | −3.68015 | + | 2.67379i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.93175 | − | 9.02301i | −0.104307 | − | 0.321024i | ||||
\(791\) | 2.12432 | 0.0755320 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 39.7948 | 1.41315 | ||||||||
\(794\) | −25.0627 | − | 77.1350i | −0.889441 | − | 2.73742i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 78.3314 | − | 56.9111i | 2.77638 | − | 2.01716i | ||||
\(797\) | 15.9360 | − | 49.0460i | 0.564483 | − | 1.73730i | −0.105000 | − | 0.994472i | \(-0.533484\pi\) |
0.669483 | − | 0.742828i | \(-0.266516\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −17.1097 | + | 12.4309i | −0.605297 | + | 0.439774i | ||||
\(800\) | −19.5527 | − | 14.2059i | −0.691293 | − | 0.502254i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −12.5997 | −0.444912 | ||||||||
\(803\) | 13.3950 | − | 23.5173i | 0.472698 | − | 0.829906i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.16210 | − | 3.57659i | −0.0409588 | − | 0.126058i | ||||
\(806\) | 33.7795 | + | 24.5423i | 1.18983 | + | 0.864465i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.63905 | − | 5.04449i | 0.0576617 | − | 0.177464i | ||||
\(809\) | 8.49825 | − | 26.1549i | 0.298783 | − | 0.919558i | −0.683142 | − | 0.730286i | \(-0.739387\pi\) |
0.981925 | − | 0.189273i | \(-0.0606130\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.1696 | − | 10.2948i | −0.497562 | − | 0.361500i | 0.310523 | − | 0.950566i | \(-0.399496\pi\) |
−0.808085 | + | 0.589066i | \(0.799496\pi\) | |||||||
\(812\) | 41.7338 | + | 128.443i | 1.46457 | + | 4.50748i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −20.5742 | − | 4.24759i | −0.721125 | − | 0.148878i | ||||
\(815\) | −3.62347 | −0.126925 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 42.6473 | + | 30.9851i | 1.49204 | + | 1.08403i | ||||
\(818\) | 42.3316 | − | 30.7557i | 1.48009 | − | 1.07535i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 14.8493 | − | 45.7013i | 0.518559 | − | 1.59596i | ||||
\(821\) | −10.2920 | + | 7.47755i | −0.359192 | + | 0.260968i | −0.752715 | − | 0.658346i | \(-0.771256\pi\) |
0.393523 | + | 0.919315i | \(0.371256\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.88274 | + | 11.9498i | 0.135344 | + | 0.416545i | 0.995643 | − | 0.0932437i | \(-0.0297236\pi\) |
−0.860300 | + | 0.509789i | \(0.829724\pi\) | |||||||
\(824\) | −60.1266 | −2.09461 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.92694 | 0.101841 | ||||||||
\(827\) | 8.54516 | + | 26.2993i | 0.297144 | + | 0.914516i | 0.982493 | + | 0.186301i | \(0.0596499\pi\) |
−0.685348 | + | 0.728215i | \(0.740350\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −25.7708 | + | 18.7236i | −0.895058 | + | 0.650298i | −0.937192 | − | 0.348814i | \(-0.886584\pi\) |
0.0421336 | + | 0.999112i | \(0.486584\pi\) | |||||||
\(830\) | −3.95886 | + | 12.1841i | −0.137414 | + | 0.422917i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 77.7982 | − | 56.5237i | 2.69717 | − | 1.95961i | ||||
\(833\) | 1.41666 | + | 1.02927i | 0.0490845 | + | 0.0356620i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.27168 | 0.0786147 | ||||||||
\(836\) | 71.6337 | − | 32.3966i | 2.47750 | − | 1.12046i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −2.16116 | − | 6.65138i | −0.0746562 | − | 0.229768i | ||||
\(839\) | 18.7145 | + | 13.5968i | 0.646095 | + | 0.469415i | 0.861939 | − | 0.507013i | \(-0.169250\pi\) |
−0.215844 | + | 0.976428i | \(0.569250\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 15.3365 | − | 47.2009i | 0.528844 | − | 1.62762i | ||||
\(842\) | 1.74671 | − | 5.37583i | 0.0601957 | − | 0.185263i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −74.9194 | − | 54.4321i | −2.57883 | − | 1.87363i | ||||
\(845\) | −1.63790 | − | 5.04093i | −0.0563454 | − | 0.173413i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.79142 | + | 29.9206i | −0.0959144 | + | 1.02808i | ||||
\(848\) | −8.66361 | −0.297510 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 8.41936 | + | 6.11702i | 0.288782 | + | 0.209812i | ||||
\(851\) | −2.56305 | + | 1.86216i | −0.0878601 | + | 0.0638341i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.33989 | + | 13.3568i | −0.148595 | + | 0.457328i | −0.997456 | − | 0.0712883i | \(-0.977289\pi\) |
0.848861 | + | 0.528616i | \(0.177289\pi\) | |||||||
\(854\) | 87.2373 | − | 63.3816i | 2.98520 | − | 2.16887i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 30.0324 | + | 92.4302i | 1.02649 | + | 3.15920i | ||||
\(857\) | 26.1013 | 0.891603 | 0.445801 | − | 0.895132i | \(-0.352919\pi\) | ||||
0.445801 | + | 0.895132i | \(0.352919\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1.98117 | 0.0675967 | 0.0337983 | − | 0.999429i | \(-0.489240\pi\) | ||||
0.0337983 | + | 0.999429i | \(0.489240\pi\) | |||||||
\(860\) | 21.3594 | + | 65.7374i | 0.728349 | + | 2.24163i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −84.3702 | + | 61.2986i | −2.87366 | + | 2.08784i | ||||
\(863\) | 5.99993 | − | 18.4659i | 0.204240 | − | 0.628586i | −0.795504 | − | 0.605949i | \(-0.792794\pi\) |
0.999744 | − | 0.0226375i | \(-0.00720636\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.5901 | − | 11.3269i | 0.530081 | − | 0.385126i | ||||
\(866\) | −20.2771 | − | 14.7321i | −0.689043 | − | 0.500619i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 83.2680 | 2.82630 | ||||||||
\(869\) | 7.69949 | + | 8.45125i | 0.261187 | + | 0.286689i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.13365 | − | 9.64439i | −0.106180 | − | 0.326788i | ||||
\(872\) | 43.3592 | + | 31.5023i | 1.46833 | + | 1.06680i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 4.97803 | − | 15.3208i | 0.168385 | − | 0.518234i | ||||
\(875\) | 0.844194 | − | 2.59816i | 0.0285390 | − | 0.0878339i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 8.26881 | + | 6.00764i | 0.279218 | + | 0.202864i | 0.718576 | − | 0.695448i | \(-0.244794\pi\) |
−0.439358 | + | 0.898312i | \(0.644794\pi\) | |||||||
\(878\) | 26.4230 | + | 81.3217i | 0.891734 | + | 2.74447i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 51.7472 | + | 10.6833i | 1.74440 | + | 0.360135i | ||||
\(881\) | −26.4278 | −0.890377 | −0.445188 | − | 0.895437i | \(-0.646863\pi\) | ||||
−0.445188 | + | 0.895437i | \(0.646863\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −35.7491 | − | 25.9732i | −1.20305 | − | 0.874068i | −0.208470 | − | 0.978029i | \(-0.566848\pi\) |
−0.994581 | + | 0.103961i | \(0.966848\pi\) | |||||||
\(884\) | −47.3230 | + | 34.3822i | −1.59165 | + | 1.15640i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −12.6821 | + | 39.0316i | −0.426065 | + | 1.31129i | ||||
\(887\) | −7.12089 | + | 5.17363i | −0.239096 | + | 0.173714i | −0.700881 | − | 0.713279i | \(-0.747209\pi\) |
0.461784 | + | 0.886992i | \(0.347209\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 3.65587 | + | 11.2516i | 0.122614 | + | 0.377367i | ||||
\(890\) | 18.2289 | 0.611034 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −49.9554 | −1.67263 | ||||||||
\(893\) | 7.34883 | + | 22.6174i | 0.245919 | + | 0.756861i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.88061 | − | 4.27251i | 0.196567 | − | 0.142814i | ||||
\(896\) | 39.7158 | − | 122.233i | 1.32681 | − | 4.08350i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −57.0242 | + | 41.4305i | −1.90292 | + | 1.38255i | ||||
\(899\) | −39.2210 | − | 28.4957i | −1.30809 | − | 0.950385i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.05623 | 0.0685031 | ||||||||
\(902\) | 8.68164 | + | 78.1990i | 0.289067 | + | 2.60374i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2.36441 | + | 7.27689i | 0.0786389 | + | 0.242026i | ||||
\(905\) | 6.56830 | + | 4.77215i | 0.218338 | + | 0.158632i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.82018 | − | 17.9127i | 0.193256 | − | 0.594781i | −0.806737 | − | 0.590911i | \(-0.798768\pi\) |
0.999993 | − | 0.00386938i | \(-0.00123167\pi\) | |||||||
\(908\) | 1.82882 | − | 5.62854i | 0.0606916 | − | 0.186790i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 16.8790 | + | 12.2633i | 0.559534 | + | 0.406525i | ||||
\(911\) | −6.82807 | − | 21.0146i | −0.226224 | − | 0.696246i | −0.998165 | − | 0.0605519i | \(-0.980714\pi\) |
0.771941 | − | 0.635694i | \(-0.219286\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.70346 | − | 15.3437i | −0.0563762 | − | 0.507803i | ||||
\(914\) | 22.0903 | 0.730681 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 26.4014 | + | 19.1818i | 0.872328 | + | 0.633784i | ||||
\(917\) | 25.9274 | − | 18.8373i | 0.856198 | − | 0.622064i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.25113 | − | 3.85059i | 0.0412710 | − | 0.127019i | −0.928298 | − | 0.371837i | \(-0.878728\pi\) |
0.969569 | + | 0.244818i | \(0.0787281\pi\) | |||||||
\(920\) | 10.9582 | − | 7.96162i | 0.361282 | − | 0.262487i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 14.3614 | + | 44.1999i | 0.472968 | + | 1.45565i | ||||
\(923\) | 25.4328 | 0.837132 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.30142 | −0.0756703 | ||||||||
\(926\) | −4.00552 | − | 12.3277i | −0.131630 | − | 0.405114i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −173.381 | + | 125.969i | −5.69151 | + | 4.13512i | ||||
\(929\) | 12.4502 | − | 38.3178i | 0.408478 | − | 1.25717i | −0.509478 | − | 0.860484i | \(-0.670162\pi\) |
0.917956 | − | 0.396682i | \(-0.129838\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.59301 | − | 1.15739i | 0.0522088 | − | 0.0379319i | ||||
\(932\) | −8.46690 | − | 6.15156i | −0.277343 | − | 0.201501i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 42.4261 | 1.38822 | ||||||||
\(935\) | −12.2818 | − | 2.53560i | −0.401656 | − | 0.0829229i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 11.4264 | + | 35.1669i | 0.373285 | + | 1.14885i | 0.944629 | + | 0.328142i | \(0.106422\pi\) |
−0.571344 | + | 0.820711i | \(0.693578\pi\) | |||||||
\(938\) | −22.2302 | − | 16.1512i | −0.725843 | − | 0.527356i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −9.63586 | + | 29.6561i | −0.314287 | + | 0.967276i | ||||
\(941\) | 13.3298 | − | 41.0250i | 0.434540 | − | 1.33738i | −0.459018 | − | 0.888427i | \(-0.651799\pi\) |
0.893558 | − | 0.448949i | \(-0.148201\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 9.59912 | + | 6.97417i | 0.312590 | + | 0.227110i | ||||
\(944\) | 1.91645 | + | 5.89822i | 0.0623751 | + | 0.191971i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −76.2184 | − | 83.6601i | −2.47807 | − | 2.72002i | ||||
\(947\) | 42.5933 | 1.38410 | 0.692048 | − | 0.721851i | \(-0.256709\pi\) | ||||
0.692048 | + | 0.721851i | \(0.256709\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 18.3188 | + | 13.3094i | 0.594653 | + | 0.432041i | ||||
\(950\) | 9.46740 | − | 6.87847i | 0.307163 | − | 0.223167i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −31.4087 | + | 96.6661i | −1.01796 | + | 3.13296i | ||||
\(953\) | −22.1144 | + | 16.0671i | −0.716357 | + | 0.520464i | −0.885218 | − | 0.465176i | \(-0.845991\pi\) |
0.168861 | + | 0.985640i | \(0.445991\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −6.18687 | − | 19.0412i | −0.200202 | − | 0.616160i | ||||
\(956\) | 11.3764 | 0.367939 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −27.0984 | −0.875509 | ||||||||
\(959\) | 11.4676 | + | 35.2938i | 0.370309 | + | 1.13969i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.897578 | − | 0.652129i | 0.0289541 | − | 0.0210364i | ||||
\(962\) | 5.43135 | − | 16.7160i | 0.175114 | − | 0.538945i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −69.4242 | + | 50.4396i | −2.23600 | + | 1.62455i | ||||
\(965\) | 15.8344 | + | 11.5043i | 0.509727 | + | 0.370338i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 20.7000 | 0.665668 | 0.332834 | − | 0.942985i | \(-0.391995\pi\) | ||||
0.332834 | + | 0.942985i | \(0.391995\pi\) | |||||||
\(968\) | −105.601 | + | 23.7402i | −3.39413 | + | 0.763038i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −14.1131 | − | 43.4355i | −0.453143 | − | 1.39463i | ||||
\(971\) | 22.2682 | + | 16.1788i | 0.714619 | + | 0.519201i | 0.884660 | − | 0.466236i | \(-0.154390\pi\) |
−0.170041 | + | 0.985437i | \(0.554390\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −10.1575 | + | 31.2615i | −0.325634 | + | 1.00220i | ||||
\(974\) | −6.95048 | + | 21.3914i | −0.222708 | + | 0.685424i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 184.843 | + | 134.296i | 5.91668 | + | 4.29872i | ||||
\(977\) | −11.2775 | − | 34.7086i | −0.360799 | − | 1.11043i | −0.952570 | − | 0.304320i | \(-0.901571\pi\) |
0.591771 | − | 0.806106i | \(-0.298429\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −20.0149 | + | 9.05181i | −0.639679 | + | 0.289297i | ||||
\(980\) | 2.58186 | 0.0824746 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −85.8983 | − | 62.4087i | −2.74112 | − | 1.99154i | ||||
\(983\) | 39.7265 | − | 28.8630i | 1.26708 | − | 0.920587i | 0.267996 | − | 0.963420i | \(-0.413638\pi\) |
0.999082 | + | 0.0428334i | \(0.0136385\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.07786 | − | 21.7834i | 0.225519 | − | 0.694077i | ||||
\(986\) | 74.6574 | − | 54.2418i | 2.37758 | − | 1.72741i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 20.3258 | + | 62.5565i | 0.646651 | + | 1.99019i | ||||
\(989\) | −17.0670 | −0.542699 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.08586 | −0.161558 | −0.0807788 | − | 0.996732i | \(-0.525741\pi\) | ||||
−0.0807788 | + | 0.996732i | \(0.525741\pi\) | |||||||
\(992\) | 40.8318 | + | 125.667i | 1.29641 | + | 3.98994i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 55.7533 | − | 40.5071i | 1.76839 | − | 1.28481i | ||||
\(995\) | −5.36672 | + | 16.5171i | −0.170137 | + | 0.523627i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 14.8334 | − | 10.7771i | 0.469777 | − | 0.341313i | −0.327577 | − | 0.944824i | \(-0.606232\pi\) |
0.797354 | + | 0.603511i | \(0.206232\pi\) | |||||||
\(998\) | 5.23176 | + | 3.80110i | 0.165609 | + | 0.120322i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 495.2.n.g.181.4 | ✓ | 16 | |
3.2 | odd | 2 | 495.2.n.h.181.1 | yes | 16 | ||
11.3 | even | 5 | 5445.2.a.cd.1.8 | 8 | |||
11.8 | odd | 10 | 5445.2.a.cb.1.1 | 8 | |||
11.9 | even | 5 | inner | 495.2.n.g.361.4 | yes | 16 | |
33.8 | even | 10 | 5445.2.a.cc.1.8 | 8 | |||
33.14 | odd | 10 | 5445.2.a.ca.1.1 | 8 | |||
33.20 | odd | 10 | 495.2.n.h.361.1 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
495.2.n.g.181.4 | ✓ | 16 | 1.1 | even | 1 | trivial | |
495.2.n.g.361.4 | yes | 16 | 11.9 | even | 5 | inner | |
495.2.n.h.181.1 | yes | 16 | 3.2 | odd | 2 | ||
495.2.n.h.361.1 | yes | 16 | 33.20 | odd | 10 | ||
5445.2.a.ca.1.1 | 8 | 33.14 | odd | 10 | |||
5445.2.a.cb.1.1 | 8 | 11.8 | odd | 10 | |||
5445.2.a.cc.1.8 | 8 | 33.8 | even | 10 | |||
5445.2.a.cd.1.8 | 8 | 11.3 | even | 5 |