Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [114,2,Mod(29,114)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(114, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("114.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 114 = 2 \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 114.l (of order \(18\), degree \(6\), 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: | \(0.910294583043\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + \cdots + 19683 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 29.1 | ||
Root | \(-1.72388 + 0.168030i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 114.29 |
Dual form | 114.2.l.a.59.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | − | 0.984808i | −0.122788 | − | 0.696364i | ||||
\(3\) | −0.716422 | + | 1.57694i | −0.413626 | + | 0.910447i | ||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | −1.14133 | + | 3.13578i | −0.510418 | + | 1.40236i | 0.370384 | + | 0.928879i | \(0.379226\pi\) |
−0.880802 | + | 0.473484i | \(0.842996\pi\) | |||||||
\(6\) | 1.67739 | + | 0.431705i | 0.684791 | + | 0.176243i | ||||
\(7\) | −1.07356 | + | 1.85947i | −0.405769 | + | 0.702812i | −0.994411 | − | 0.105582i | \(-0.966330\pi\) |
0.588642 | + | 0.808394i | \(0.299663\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −1.97348 | − | 2.25951i | −0.657826 | − | 0.753170i | ||||
\(10\) | 3.28633 | + | 0.579469i | 1.03923 | + | 0.183244i | ||||
\(11\) | 5.41799 | − | 3.12808i | 1.63359 | − | 0.943151i | 0.650611 | − | 0.759412i | \(-0.274513\pi\) |
0.982975 | − | 0.183740i | \(-0.0588203\pi\) | |||||||
\(12\) | 0.133871 | − | 1.72687i | 0.0386453 | − | 0.498504i | ||||
\(13\) | −2.56208 | + | 3.05336i | −0.710592 | + | 0.846850i | −0.993681 | − | 0.112243i | \(-0.964196\pi\) |
0.283089 | + | 0.959094i | \(0.408641\pi\) | |||||||
\(14\) | 2.01764 | + | 0.734361i | 0.539237 | + | 0.196266i | ||||
\(15\) | −4.12726 | − | 4.04635i | −1.06565 | − | 1.04476i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.403611 | − | 0.0711674i | 0.0978899 | − | 0.0172606i | −0.124489 | − | 0.992221i | \(-0.539729\pi\) |
0.222379 | + | 0.974960i | \(0.428618\pi\) | |||||||
\(18\) | −1.88249 | + | 2.33586i | −0.443707 | + | 0.550567i | ||||
\(19\) | 4.34640 | + | 0.329887i | 0.997132 | + | 0.0756812i | ||||
\(20\) | − | 3.33703i | − | 0.746182i | ||||||
\(21\) | −2.16314 | − | 3.02511i | −0.472037 | − | 0.660133i | ||||
\(22\) | −4.02138 | − | 4.79249i | −0.857361 | − | 1.02176i | ||||
\(23\) | 0.280411 | + | 0.770422i | 0.0584697 | + | 0.160644i | 0.965488 | − | 0.260446i | \(-0.0838697\pi\) |
−0.907019 | + | 0.421090i | \(0.861647\pi\) | |||||||
\(24\) | −1.72388 | + | 0.168030i | −0.351886 | + | 0.0342991i | ||||
\(25\) | −4.70025 | − | 3.94398i | −0.940051 | − | 0.788796i | ||||
\(26\) | 3.45187 | + | 1.99294i | 0.676968 | + | 0.390848i | ||||
\(27\) | 4.97695 | − | 1.49330i | 0.957815 | − | 0.287385i | ||||
\(28\) | 0.372845 | − | 2.11451i | 0.0704610 | − | 0.399604i | ||||
\(29\) | −0.805141 | + | 4.56618i | −0.149511 | + | 0.847919i | 0.814123 | + | 0.580693i | \(0.197218\pi\) |
−0.963634 | + | 0.267226i | \(0.913893\pi\) | |||||||
\(30\) | −3.26819 | + | 4.76720i | −0.596686 | + | 0.870368i | ||||
\(31\) | −2.02597 | − | 1.16970i | −0.363875 | − | 0.210084i | 0.306904 | − | 0.951740i | \(-0.400707\pi\) |
−0.670779 | + | 0.741657i | \(0.734040\pi\) | |||||||
\(32\) | −0.766044 | − | 0.642788i | −0.135419 | − | 0.113630i | ||||
\(33\) | 1.05122 | + | 10.7849i | 0.182995 | + | 1.87740i | ||||
\(34\) | −0.140172 | − | 0.385121i | −0.0240394 | − | 0.0660477i | ||||
\(35\) | −4.60559 | − | 5.48872i | −0.778486 | − | 0.927764i | ||||
\(36\) | 2.62726 | + | 1.44827i | 0.437877 | + | 0.241379i | ||||
\(37\) | − | 6.01346i | − | 0.988607i | −0.869289 | − | 0.494303i | \(-0.835423\pi\) | ||
0.869289 | − | 0.494303i | \(-0.164577\pi\) | |||||||
\(38\) | −0.429869 | − | 4.33765i | −0.0697340 | − | 0.703660i | ||||
\(39\) | −2.97944 | − | 6.22774i | −0.477093 | − | 0.997236i | ||||
\(40\) | −3.28633 | + | 0.579469i | −0.519614 | + | 0.0916220i | ||||
\(41\) | −0.926617 | + | 0.777524i | −0.144713 | + | 0.121429i | −0.712270 | − | 0.701905i | \(-0.752333\pi\) |
0.567557 | + | 0.823334i | \(0.307889\pi\) | |||||||
\(42\) | −2.60352 | + | 2.65558i | −0.401733 | + | 0.409766i | ||||
\(43\) | 5.87377 | + | 2.13788i | 0.895741 | + | 0.326023i | 0.748545 | − | 0.663084i | \(-0.230753\pi\) |
0.147196 | + | 0.989107i | \(0.452975\pi\) | |||||||
\(44\) | −4.02138 | + | 4.79249i | −0.606246 | + | 0.722496i | ||||
\(45\) | 9.33771 | − | 3.60955i | 1.39198 | − | 0.538080i | ||||
\(46\) | 0.710025 | − | 0.409933i | 0.104687 | − | 0.0604413i | ||||
\(47\) | 7.59919 | + | 1.33994i | 1.10846 | + | 0.195451i | 0.697767 | − | 0.716325i | \(-0.254177\pi\) |
0.410689 | + | 0.911776i | \(0.365288\pi\) | |||||||
\(48\) | 0.464826 | + | 1.66851i | 0.0670919 | + | 0.240829i | ||||
\(49\) | 1.19492 | + | 2.06967i | 0.170703 | + | 0.295666i | ||||
\(50\) | −3.06787 | + | 5.31371i | −0.433863 | + | 0.751472i | ||||
\(51\) | −0.176929 | + | 0.687455i | −0.0247750 | + | 0.0962630i | ||||
\(52\) | 1.36325 | − | 3.74550i | 0.189049 | − | 0.519408i | ||||
\(53\) | 0.220516 | − | 0.0802612i | 0.0302902 | − | 0.0110247i | −0.326831 | − | 0.945083i | \(-0.605981\pi\) |
0.357121 | + | 0.934058i | \(0.383758\pi\) | |||||||
\(54\) | −2.33485 | − | 4.64203i | −0.317733 | − | 0.631701i | ||||
\(55\) | 3.62525 | + | 20.5598i | 0.488828 | + | 2.77228i | ||||
\(56\) | −2.14713 | −0.286922 | ||||||||
\(57\) | −3.63407 | + | 6.61767i | −0.481344 | + | 0.876532i | ||||
\(58\) | 4.63662 | 0.608819 | ||||||||
\(59\) | −0.930375 | − | 5.27642i | −0.121124 | − | 0.686931i | −0.983534 | − | 0.180721i | \(-0.942157\pi\) |
0.862410 | − | 0.506210i | \(-0.168954\pi\) | |||||||
\(60\) | 5.26229 | + | 2.39072i | 0.679359 | + | 0.308640i | ||||
\(61\) | 7.30705 | − | 2.65955i | 0.935572 | − | 0.340520i | 0.171156 | − | 0.985244i | \(-0.445250\pi\) |
0.764416 | + | 0.644723i | \(0.223027\pi\) | |||||||
\(62\) | −0.800119 | + | 2.19831i | −0.101615 | + | 0.279186i | ||||
\(63\) | 6.32014 | − | 1.24389i | 0.796262 | − | 0.156716i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −6.65050 | − | 11.5190i | −0.824893 | − | 1.42876i | ||||
\(66\) | 10.4385 | − | 2.90803i | 1.28489 | − | 0.357953i | ||||
\(67\) | 3.48689 | + | 0.614832i | 0.425991 | + | 0.0751137i | 0.382534 | − | 0.923942i | \(-0.375052\pi\) |
0.0434574 | + | 0.999055i | \(0.486163\pi\) | |||||||
\(68\) | −0.354929 | + | 0.204918i | −0.0430415 | + | 0.0248500i | ||||
\(69\) | −1.41580 | − | 0.109756i | −0.170443 | − | 0.0132131i | ||||
\(70\) | −4.60559 | + | 5.48872i | −0.550473 | + | 0.656028i | ||||
\(71\) | −4.19799 | − | 1.52794i | −0.498210 | − | 0.181334i | 0.0806788 | − | 0.996740i | \(-0.474291\pi\) |
−0.578889 | + | 0.815407i | \(0.696513\pi\) | |||||||
\(72\) | 0.970052 | − | 2.83884i | 0.114322 | − | 0.334560i | ||||
\(73\) | −4.33185 | + | 3.63485i | −0.507005 | + | 0.425427i | −0.860074 | − | 0.510170i | \(-0.829583\pi\) |
0.353069 | + | 0.935597i | \(0.385138\pi\) | |||||||
\(74\) | −5.92210 | + | 1.04423i | −0.688430 | + | 0.121389i | ||||
\(75\) | 9.58679 | − | 4.58646i | 1.10699 | − | 0.529599i | ||||
\(76\) | −4.19711 | + | 1.17656i | −0.481441 | + | 0.134961i | ||||
\(77\) | 13.4328i | 1.53081i | ||||||||
\(78\) | −5.61575 | + | 4.01561i | −0.635858 | + | 0.454679i | ||||
\(79\) | −8.05412 | − | 9.59853i | −0.906159 | − | 1.07992i | −0.996465 | − | 0.0840047i | \(-0.973229\pi\) |
0.0903059 | − | 0.995914i | \(-0.471216\pi\) | |||||||
\(80\) | 1.14133 | + | 3.13578i | 0.127605 | + | 0.350591i | ||||
\(81\) | −1.21076 | + | 8.91819i | −0.134529 | + | 0.990910i | ||||
\(82\) | 0.926617 | + | 0.777524i | 0.102328 | + | 0.0858631i | ||||
\(83\) | −8.01579 | − | 4.62792i | −0.879848 | − | 0.507980i | −0.00923947 | − | 0.999957i | \(-0.502941\pi\) |
−0.870608 | + | 0.491977i | \(0.836274\pi\) | |||||||
\(84\) | 3.06734 | + | 2.10283i | 0.334674 | + | 0.229438i | ||||
\(85\) | −0.237488 | + | 1.34686i | −0.0257591 | + | 0.146087i | ||||
\(86\) | 1.08543 | − | 6.15577i | 0.117045 | − | 0.663794i | ||||
\(87\) | −6.62378 | − | 4.54097i | −0.710143 | − | 0.486843i | ||||
\(88\) | 5.41799 | + | 3.12808i | 0.577560 | + | 0.333454i | ||||
\(89\) | 5.61888 | + | 4.71480i | 0.595600 | + | 0.499767i | 0.890028 | − | 0.455906i | \(-0.150685\pi\) |
−0.294428 | + | 0.955674i | \(0.595129\pi\) | |||||||
\(90\) | −5.17619 | − | 8.56906i | −0.545618 | − | 0.903258i | ||||
\(91\) | −2.92708 | − | 8.04207i | −0.306841 | − | 0.843038i | ||||
\(92\) | −0.527000 | − | 0.628054i | −0.0549435 | − | 0.0654792i | ||||
\(93\) | 3.29599 | − | 2.35684i | 0.341778 | − | 0.244393i | ||||
\(94\) | − | 7.71642i | − | 0.795888i | ||||||
\(95\) | −5.99513 | + | 13.2528i | −0.615087 | + | 1.35971i | ||||
\(96\) | 1.56245 | − | 0.747499i | 0.159467 | − | 0.0762913i | ||||
\(97\) | −16.0734 | + | 2.83418i | −1.63201 | + | 0.287767i | −0.913221 | − | 0.407464i | \(-0.866413\pi\) |
−0.718786 | + | 0.695231i | \(0.755302\pi\) | |||||||
\(98\) | 1.83073 | − | 1.53616i | 0.184931 | − | 0.155176i | ||||
\(99\) | −17.7602 | − | 6.06880i | −1.78497 | − | 0.609937i | ||||
\(100\) | 5.76571 | + | 2.09855i | 0.576571 | + | 0.209855i | ||||
\(101\) | 3.69207 | − | 4.40004i | 0.367375 | − | 0.437820i | −0.550412 | − | 0.834893i | \(-0.685529\pi\) |
0.917787 | + | 0.397073i | \(0.129974\pi\) | |||||||
\(102\) | 0.707735 | + | 0.0548653i | 0.0700762 | + | 0.00543248i | ||||
\(103\) | −0.957127 | + | 0.552597i | −0.0943085 | + | 0.0544490i | −0.546413 | − | 0.837516i | \(-0.684007\pi\) |
0.452104 | + | 0.891965i | \(0.350674\pi\) | |||||||
\(104\) | −3.92533 | − | 0.692141i | −0.384910 | − | 0.0678700i | ||||
\(105\) | 11.9549 | − | 3.33049i | 1.16668 | − | 0.325023i | ||||
\(106\) | −0.117334 | − | 0.203228i | −0.0113965 | − | 0.0197393i | ||||
\(107\) | 3.47626 | − | 6.02105i | 0.336062 | − | 0.582077i | −0.647626 | − | 0.761958i | \(-0.724238\pi\) |
0.983688 | + | 0.179881i | \(0.0575713\pi\) | |||||||
\(108\) | −4.16607 | + | 3.10546i | −0.400880 | + | 0.298823i | ||||
\(109\) | 2.42887 | − | 6.67327i | 0.232644 | − | 0.639183i | −0.767354 | − | 0.641223i | \(-0.778427\pi\) |
0.999998 | + | 0.00204008i | \(0.000649379\pi\) | |||||||
\(110\) | 19.6179 | − | 7.14034i | 1.87050 | − | 0.680805i | ||||
\(111\) | 9.48286 | + | 4.30817i | 0.900074 | + | 0.408914i | ||||
\(112\) | 0.372845 | + | 2.11451i | 0.0352305 | + | 0.199802i | ||||
\(113\) | −2.33000 | −0.219188 | −0.109594 | − | 0.993976i | \(-0.534955\pi\) | ||||
−0.109594 | + | 0.993976i | \(0.534955\pi\) | |||||||
\(114\) | 7.14818 | + | 2.42971i | 0.669489 | + | 0.227563i | ||||
\(115\) | −2.73592 | −0.255125 | ||||||||
\(116\) | −0.805141 | − | 4.56618i | −0.0747555 | − | 0.423960i | ||||
\(117\) | 11.9553 | − | 0.236716i | 1.10527 | − | 0.0218844i | ||||
\(118\) | −5.03470 | + | 1.83248i | −0.463482 | + | 0.168693i | ||||
\(119\) | −0.300968 | + | 0.826903i | −0.0275897 | + | 0.0758021i | ||||
\(120\) | 1.44061 | − | 5.59749i | 0.131509 | − | 0.510978i | ||||
\(121\) | 14.0697 | − | 24.3695i | 1.27907 | − | 2.21541i | ||||
\(122\) | −3.88800 | − | 6.73422i | −0.352003 | − | 0.609687i | ||||
\(123\) | −0.562260 | − | 2.01825i | −0.0506973 | − | 0.181980i | ||||
\(124\) | 2.30385 | + | 0.406231i | 0.206892 | + | 0.0364806i | ||||
\(125\) | 3.28225 | − | 1.89501i | 0.293573 | − | 0.169495i | ||||
\(126\) | −2.32248 | − | 6.00812i | −0.206903 | − | 0.535246i | ||||
\(127\) | 0.792153 | − | 0.944052i | 0.0702922 | − | 0.0837710i | −0.729752 | − | 0.683712i | \(-0.760365\pi\) |
0.800045 | + | 0.599941i | \(0.204809\pi\) | |||||||
\(128\) | 0.939693 | + | 0.342020i | 0.0830579 | + | 0.0302306i | ||||
\(129\) | −7.57940 | + | 7.73096i | −0.667329 | + | 0.680673i | ||||
\(130\) | −10.1892 | + | 8.54971i | −0.893648 | + | 0.749859i | ||||
\(131\) | −6.34320 | + | 1.11848i | −0.554208 | + | 0.0977218i | −0.443736 | − | 0.896157i | \(-0.646347\pi\) |
−0.110472 | + | 0.993879i | \(0.535236\pi\) | |||||||
\(132\) | −4.67647 | − | 9.77492i | −0.407035 | − | 0.850798i | ||||
\(133\) | −5.27955 | + | 7.72783i | −0.457795 | + | 0.670088i | ||||
\(134\) | − | 3.54068i | − | 0.305868i | ||||||
\(135\) | −0.997698 | + | 17.3110i | −0.0858682 | + | 1.48989i | ||||
\(136\) | 0.263438 | + | 0.313953i | 0.0225896 | + | 0.0269213i | ||||
\(137\) | −3.68452 | − | 10.1231i | −0.314790 | − | 0.864878i | −0.991672 | − | 0.128787i | \(-0.958892\pi\) |
0.676882 | − | 0.736091i | \(-0.263331\pi\) | |||||||
\(138\) | 0.137762 | + | 1.41335i | 0.0117271 | + | 0.120313i | ||||
\(139\) | 6.45972 | + | 5.42035i | 0.547906 | + | 0.459748i | 0.874231 | − | 0.485510i | \(-0.161366\pi\) |
−0.326325 | + | 0.945258i | \(0.605810\pi\) | |||||||
\(140\) | 6.20509 | + | 3.58251i | 0.524426 | + | 0.302777i | ||||
\(141\) | −7.55723 | + | 11.0235i | −0.636434 | + | 0.928346i | ||||
\(142\) | −0.775757 | + | 4.39954i | −0.0651001 | + | 0.369201i | ||||
\(143\) | −4.33014 | + | 24.5575i | −0.362105 | + | 2.05360i | ||||
\(144\) | −2.96416 | − | 0.462356i | −0.247013 | − | 0.0385297i | ||||
\(145\) | −13.3996 | − | 7.73627i | −1.11278 | − | 0.642462i | ||||
\(146\) | 4.33185 | + | 3.63485i | 0.358506 | + | 0.300823i | ||||
\(147\) | −4.11981 | + | 0.401566i | −0.339796 | + | 0.0331206i | ||||
\(148\) | 2.05672 | + | 5.65080i | 0.169062 | + | 0.464493i | ||||
\(149\) | 3.41271 | + | 4.06711i | 0.279580 | + | 0.333190i | 0.887500 | − | 0.460808i | \(-0.152440\pi\) |
−0.607920 | + | 0.793998i | \(0.707996\pi\) | |||||||
\(150\) | −6.18151 | − | 8.64471i | −0.504718 | − | 0.705838i | ||||
\(151\) | 2.55987i | 0.208319i | 0.994561 | + | 0.104160i | \(0.0332153\pi\) | ||||
−0.994561 | + | 0.104160i | \(0.966785\pi\) | |||||||
\(152\) | 1.88751 | + | 3.92903i | 0.153097 | + | 0.318687i | ||||
\(153\) | −0.957320 | − | 0.771514i | −0.0773948 | − | 0.0623732i | ||||
\(154\) | 13.2287 | − | 2.33258i | 1.06600 | − | 0.187964i | ||||
\(155\) | 5.98021 | − | 5.01799i | 0.480342 | − | 0.403055i | ||||
\(156\) | 4.92977 | + | 4.83313i | 0.394698 | + | 0.386960i | ||||
\(157\) | 15.7565 | + | 5.73489i | 1.25750 | + | 0.457694i | 0.882931 | − | 0.469503i | \(-0.155567\pi\) |
0.374573 | + | 0.927197i | \(0.377789\pi\) | |||||||
\(158\) | −8.05412 | + | 9.59853i | −0.640751 | + | 0.763618i | ||||
\(159\) | −0.0314153 | + | 0.405241i | −0.00249139 | + | 0.0321377i | ||||
\(160\) | 2.88995 | − | 1.66851i | 0.228471 | − | 0.131908i | ||||
\(161\) | −1.73361 | − | 0.305683i | −0.136628 | − | 0.0240912i | ||||
\(162\) | 8.99295 | − | 0.356262i | 0.706553 | − | 0.0279906i | ||||
\(163\) | 5.28499 | + | 9.15387i | 0.413952 | + | 0.716987i | 0.995318 | − | 0.0966559i | \(-0.0308146\pi\) |
−0.581365 | + | 0.813643i | \(0.697481\pi\) | |||||||
\(164\) | 0.604806 | − | 1.04755i | 0.0472274 | − | 0.0818003i | ||||
\(165\) | −35.0188 | − | 9.01269i | −2.72621 | − | 0.701637i | ||||
\(166\) | −3.16568 | + | 8.69765i | −0.245705 | + | 0.675068i | ||||
\(167\) | 10.5199 | − | 3.82893i | 0.814054 | − | 0.296292i | 0.0987568 | − | 0.995112i | \(-0.468513\pi\) |
0.715298 | + | 0.698820i | \(0.246291\pi\) | |||||||
\(168\) | 1.53825 | − | 3.38589i | 0.118678 | − | 0.261227i | ||||
\(169\) | −0.501366 | − | 2.84339i | −0.0385666 | − | 0.218722i | ||||
\(170\) | 1.36764 | 0.104893 | ||||||||
\(171\) | −7.83214 | − | 10.4717i | −0.598939 | − | 0.800795i | ||||
\(172\) | −6.25073 | −0.476614 | ||||||||
\(173\) | −3.80558 | − | 21.5825i | −0.289333 | − | 1.64089i | −0.689384 | − | 0.724396i | \(-0.742119\pi\) |
0.400051 | − | 0.916493i | \(-0.368993\pi\) | |||||||
\(174\) | −3.32178 | + | 7.31168i | −0.251823 | + | 0.554297i | ||||
\(175\) | 12.3797 | − | 4.50585i | 0.935819 | − | 0.340610i | ||||
\(176\) | 2.13973 | − | 5.87886i | 0.161288 | − | 0.443136i | ||||
\(177\) | 8.98713 | + | 2.31300i | 0.675514 | + | 0.173855i | ||||
\(178\) | 3.66746 | − | 6.35223i | 0.274888 | − | 0.476120i | ||||
\(179\) | 10.6934 | + | 18.5215i | 0.799263 | + | 1.38436i | 0.920097 | + | 0.391692i | \(0.128110\pi\) |
−0.120833 | + | 0.992673i | \(0.538557\pi\) | |||||||
\(180\) | −7.54004 | + | 6.58555i | −0.562001 | + | 0.490858i | ||||
\(181\) | −18.0057 | − | 3.17489i | −1.33835 | − | 0.235988i | −0.541775 | − | 0.840523i | \(-0.682248\pi\) |
−0.796578 | + | 0.604536i | \(0.793359\pi\) | |||||||
\(182\) | −7.41162 | + | 4.27910i | −0.549386 | + | 0.317188i | ||||
\(183\) | −1.04098 | + | 13.4281i | −0.0769516 | + | 0.992637i | ||||
\(184\) | −0.527000 | + | 0.628054i | −0.0388509 | + | 0.0463008i | ||||
\(185\) | 18.8569 | + | 6.86334i | 1.38639 | + | 0.504603i | ||||
\(186\) | −2.89338 | − | 2.83666i | −0.212153 | − | 0.207994i | ||||
\(187\) | 1.96414 | − | 1.64811i | 0.143632 | − | 0.120522i | ||||
\(188\) | −7.59919 | + | 1.33994i | −0.554228 | + | 0.0977253i | ||||
\(189\) | −2.56634 | + | 10.8576i | −0.186674 | + | 0.789776i | ||||
\(190\) | 14.0925 | + | 3.60272i | 1.02238 | + | 0.261369i | ||||
\(191\) | 3.46116i | 0.250441i | 0.992129 | + | 0.125220i | \(0.0399638\pi\) | ||||
−0.992129 | + | 0.125220i | \(0.960036\pi\) | |||||||
\(192\) | −1.00746 | − | 1.40891i | −0.0727071 | − | 0.101679i | ||||
\(193\) | 6.64414 | + | 7.91818i | 0.478256 | + | 0.569963i | 0.950190 | − | 0.311671i | \(-0.100889\pi\) |
−0.471934 | + | 0.881634i | \(0.656444\pi\) | |||||||
\(194\) | 5.58224 | + | 15.3371i | 0.400781 | + | 1.10114i | ||||
\(195\) | 22.9293 | − | 2.23497i | 1.64200 | − | 0.160050i | ||||
\(196\) | −1.83073 | − | 1.53616i | −0.130766 | − | 0.109726i | ||||
\(197\) | −10.2877 | − | 5.93959i | −0.732966 | − | 0.423178i | 0.0865400 | − | 0.996248i | \(-0.472419\pi\) |
−0.819506 | + | 0.573070i | \(0.805752\pi\) | |||||||
\(198\) | −2.89257 | + | 18.5442i | −0.205566 | + | 1.31788i | ||||
\(199\) | 4.24330 | − | 24.0650i | 0.300800 | − | 1.70592i | −0.341845 | − | 0.939756i | \(-0.611052\pi\) |
0.642645 | − | 0.766164i | \(-0.277837\pi\) | |||||||
\(200\) | 1.06546 | − | 6.04253i | 0.0753395 | − | 0.427271i | ||||
\(201\) | −3.46764 | + | 5.05813i | −0.244588 | + | 0.356773i | ||||
\(202\) | −4.97432 | − | 2.87192i | −0.349992 | − | 0.202068i | ||||
\(203\) | −7.62630 | − | 6.39922i | −0.535261 | − | 0.449137i | ||||
\(204\) | −0.0688651 | − | 0.706510i | −0.00482152 | − | 0.0494656i | ||||
\(205\) | −1.38057 | − | 3.79308i | −0.0964230 | − | 0.264920i | ||||
\(206\) | 0.710405 | + | 0.846628i | 0.0494963 | + | 0.0589874i | ||||
\(207\) | 1.18739 | − | 2.15400i | 0.0825294 | − | 0.149714i | ||||
\(208\) | 3.98588i | 0.276371i | ||||||||
\(209\) | 24.5807 | − | 11.8085i | 1.70028 | − | 0.816814i | ||||
\(210\) | −5.35585 | − | 11.1950i | −0.369588 | − | 0.772527i | ||||
\(211\) | −16.3173 | + | 2.87718i | −1.12333 | + | 0.198074i | −0.704303 | − | 0.709900i | \(-0.748740\pi\) |
−0.419028 | + | 0.907973i | \(0.637629\pi\) | |||||||
\(212\) | −0.179766 | + | 0.150842i | −0.0123464 | + | 0.0103598i | ||||
\(213\) | 5.41701 | − | 5.52533i | 0.371167 | − | 0.378589i | ||||
\(214\) | −6.53323 | − | 2.37790i | −0.446602 | − | 0.162550i | ||||
\(215\) | −13.4078 | + | 15.9788i | −0.914405 | + | 1.08975i | ||||
\(216\) | 3.78171 | + | 3.56352i | 0.257313 | + | 0.242467i | ||||
\(217\) | 4.35002 | − | 2.51149i | 0.295299 | − | 0.170491i | ||||
\(218\) | −6.99366 | − | 1.23317i | −0.473670 | − | 0.0835208i | ||||
\(219\) | −2.62851 | − | 9.43516i | −0.177619 | − | 0.637569i | ||||
\(220\) | −10.4385 | − | 18.0800i | −0.703762 | − | 1.21895i | ||||
\(221\) | −0.816781 | + | 1.41471i | −0.0549426 | + | 0.0951634i | ||||
\(222\) | 2.59604 | − | 10.0869i | 0.174235 | − | 0.676989i | ||||
\(223\) | −4.05122 | + | 11.1306i | −0.271290 | + | 0.745362i | 0.726986 | + | 0.686653i | \(0.240921\pi\) |
−0.998275 | + | 0.0587091i | \(0.981302\pi\) | |||||||
\(224\) | 2.01764 | − | 0.734361i | 0.134809 | − | 0.0490665i | ||||
\(225\) | 0.364394 | + | 18.4036i | 0.0242929 | + | 1.22691i | ||||
\(226\) | 0.404601 | + | 2.29460i | 0.0269136 | + | 0.152635i | ||||
\(227\) | 23.0722 | 1.53135 | 0.765676 | − | 0.643226i | \(-0.222405\pi\) | ||||
0.765676 | + | 0.643226i | \(0.222405\pi\) | |||||||
\(228\) | 1.15153 | − | 7.46150i | 0.0762618 | − | 0.494150i | ||||
\(229\) | 14.0461 | 0.928192 | 0.464096 | − | 0.885785i | \(-0.346379\pi\) | ||||
0.464096 | + | 0.885785i | \(0.346379\pi\) | |||||||
\(230\) | 0.475087 | + | 2.69435i | 0.0313263 | + | 0.177660i | ||||
\(231\) | −21.1827 | − | 9.62353i | −1.39372 | − | 0.633182i | ||||
\(232\) | −4.35700 | + | 1.58582i | −0.286051 | + | 0.104114i | ||||
\(233\) | 8.06779 | − | 22.1661i | 0.528539 | − | 1.45215i | −0.332253 | − | 0.943190i | \(-0.607809\pi\) |
0.860792 | − | 0.508958i | \(-0.169969\pi\) | |||||||
\(234\) | −2.30914 | − | 11.7326i | −0.150953 | − | 0.766982i | ||||
\(235\) | −12.8749 | + | 22.3001i | −0.839869 | + | 1.45470i | ||||
\(236\) | 2.67891 | + | 4.64000i | 0.174382 | + | 0.302038i | ||||
\(237\) | 20.9065 | − | 5.82427i | 1.35802 | − | 0.378327i | ||||
\(238\) | 0.866603 | + | 0.152806i | 0.0561735 | + | 0.00990491i | ||||
\(239\) | 23.6023 | − | 13.6268i | 1.52670 | − | 0.881443i | 0.527206 | − | 0.849738i | \(-0.323240\pi\) |
0.999497 | − | 0.0317050i | \(-0.0100937\pi\) | |||||||
\(240\) | −5.76261 | − | 0.446732i | −0.371975 | − | 0.0288364i | ||||
\(241\) | 13.6728 | − | 16.2946i | 0.880739 | − | 1.04962i | −0.117659 | − | 0.993054i | \(-0.537539\pi\) |
0.998399 | − | 0.0565704i | \(-0.0180165\pi\) | |||||||
\(242\) | −26.4425 | − | 9.62427i | −1.69979 | − | 0.618672i | ||||
\(243\) | −13.1960 | − | 8.29848i | −0.846526 | − | 0.532348i | ||||
\(244\) | −5.95676 | + | 4.99832i | −0.381343 | + | 0.319985i | ||||
\(245\) | −7.85381 | + | 1.38484i | −0.501762 | + | 0.0884741i | ||||
\(246\) | −1.88996 | + | 0.904184i | −0.120499 | + | 0.0576487i | ||||
\(247\) | −12.1431 | + | 12.4259i | −0.772645 | + | 0.790643i | ||||
\(248\) | − | 2.33939i | − | 0.148552i | ||||||
\(249\) | 13.0406 | − | 9.32488i | 0.826417 | − | 0.590940i | ||||
\(250\) | −2.43617 | − | 2.90332i | −0.154077 | − | 0.183622i | ||||
\(251\) | −0.848967 | − | 2.33252i | −0.0535863 | − | 0.147227i | 0.910012 | − | 0.414583i | \(-0.136072\pi\) |
−0.963598 | + | 0.267355i | \(0.913850\pi\) | |||||||
\(252\) | −5.51355 | + | 3.33049i | −0.347321 | + | 0.209801i | ||||
\(253\) | 3.92920 | + | 3.29699i | 0.247027 | + | 0.207280i | ||||
\(254\) | −1.06727 | − | 0.616186i | −0.0669662 | − | 0.0386629i | ||||
\(255\) | −1.95377 | − | 1.33942i | −0.122350 | − | 0.0838779i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −1.95465 | + | 11.0854i | −0.121928 | + | 0.691488i | 0.861157 | + | 0.508339i | \(0.169740\pi\) |
−0.983085 | + | 0.183149i | \(0.941371\pi\) | |||||||
\(258\) | 8.92965 | + | 6.12178i | 0.555936 | + | 0.381126i | ||||
\(259\) | 11.1818 | + | 6.45583i | 0.694805 | + | 0.401146i | ||||
\(260\) | 10.1892 | + | 8.54971i | 0.631904 | + | 0.530231i | ||||
\(261\) | 11.9063 | − | 7.19205i | 0.736979 | − | 0.445176i | ||||
\(262\) | 2.20297 | + | 6.05261i | 0.136100 | + | 0.373931i | ||||
\(263\) | −7.57578 | − | 9.02847i | −0.467143 | − | 0.556719i | 0.480109 | − | 0.877209i | \(-0.340597\pi\) |
−0.947252 | + | 0.320490i | \(0.896153\pi\) | |||||||
\(264\) | −8.81436 | + | 6.30282i | −0.542486 | + | 0.387912i | ||||
\(265\) | 0.783093i | 0.0481050i | ||||||||
\(266\) | 8.52721 | + | 3.85742i | 0.522837 | + | 0.236513i | ||||
\(267\) | −11.4604 | + | 5.48285i | −0.701367 | + | 0.335545i | ||||
\(268\) | −3.48689 | + | 0.614832i | −0.212996 | + | 0.0375569i | ||||
\(269\) | −8.96522 | + | 7.52271i | −0.546619 | + | 0.458668i | −0.873794 | − | 0.486296i | \(-0.838348\pi\) |
0.327175 | + | 0.944964i | \(0.393903\pi\) | |||||||
\(270\) | 17.2212 | − | 2.02348i | 1.04805 | − | 0.123145i | ||||
\(271\) | −29.1999 | − | 10.6279i | −1.77377 | − | 0.645598i | −0.999925 | − | 0.0122180i | \(-0.996111\pi\) |
−0.773841 | − | 0.633380i | \(-0.781667\pi\) | |||||||
\(272\) | 0.263438 | − | 0.313953i | 0.0159733 | − | 0.0190362i | ||||
\(273\) | 14.7789 | + | 1.14570i | 0.894459 | + | 0.0693406i | ||||
\(274\) | −9.32954 | + | 5.38641i | −0.563618 | + | 0.325405i | ||||
\(275\) | −37.8030 | − | 6.66569i | −2.27961 | − | 0.401956i | ||||
\(276\) | 1.36796 | − | 0.381096i | 0.0823414 | − | 0.0229393i | ||||
\(277\) | 1.91965 | + | 3.32494i | 0.115341 | + | 0.199776i | 0.917916 | − | 0.396775i | \(-0.129871\pi\) |
−0.802575 | + | 0.596551i | \(0.796537\pi\) | |||||||
\(278\) | 4.21628 | − | 7.30281i | 0.252876 | − | 0.437994i | ||||
\(279\) | 1.35528 | + | 6.88607i | 0.0811383 | + | 0.412258i | ||||
\(280\) | 2.45058 | − | 6.73292i | 0.146450 | − | 0.402369i | ||||
\(281\) | −23.0658 | + | 8.39528i | −1.37599 | + | 0.500820i | −0.920961 | − | 0.389655i | \(-0.872594\pi\) |
−0.455031 | + | 0.890475i | \(0.650372\pi\) | |||||||
\(282\) | 12.1683 | + | 5.52821i | 0.724614 | + | 0.329200i | ||||
\(283\) | −4.03563 | − | 22.8872i | −0.239894 | − | 1.36050i | −0.832059 | − | 0.554688i | \(-0.812838\pi\) |
0.592165 | − | 0.805817i | \(-0.298273\pi\) | |||||||
\(284\) | 4.46741 | 0.265092 | ||||||||
\(285\) | −16.6039 | − | 18.9486i | −0.983529 | − | 1.12242i | ||||
\(286\) | 24.9363 | 1.47451 | ||||||||
\(287\) | −0.450998 | − | 2.55773i | −0.0266215 | − | 0.150978i | ||||
\(288\) | 0.0593887 | + | 2.99941i | 0.00349951 | + | 0.176742i | ||||
\(289\) | −15.8169 | + | 5.75689i | −0.930408 | + | 0.338641i | ||||
\(290\) | −5.29192 | + | 14.5394i | −0.310752 | + | 0.853785i | ||||
\(291\) | 7.04602 | − | 27.3773i | 0.413045 | − | 1.60488i | ||||
\(292\) | 2.82741 | − | 4.89723i | 0.165462 | − | 0.286588i | ||||
\(293\) | −5.48661 | − | 9.50309i | −0.320531 | − | 0.555177i | 0.660066 | − | 0.751207i | \(-0.270528\pi\) |
−0.980598 | + | 0.196031i | \(0.937195\pi\) | |||||||
\(294\) | 1.11086 | + | 3.98749i | 0.0647868 | + | 0.232555i | ||||
\(295\) | 17.6075 | + | 3.10468i | 1.02515 | + | 0.180762i | ||||
\(296\) | 5.20781 | − | 3.00673i | 0.302698 | − | 0.174763i | ||||
\(297\) | 22.2939 | − | 23.6590i | 1.29363 | − | 1.37283i | ||||
\(298\) | 3.41271 | − | 4.06711i | 0.197693 | − | 0.235601i | ||||
\(299\) | −3.07081 | − | 1.11768i | −0.177590 | − | 0.0646374i | ||||
\(300\) | −7.43997 | + | 7.58874i | −0.429547 | + | 0.438136i | ||||
\(301\) | −10.2812 | + | 8.62693i | −0.592597 | + | 0.497248i | ||||
\(302\) | 2.52098 | − | 0.444517i | 0.145066 | − | 0.0255791i | ||||
\(303\) | 4.29352 | + | 8.97446i | 0.246656 | + | 0.515569i | ||||
\(304\) | 3.54158 | − | 2.54110i | 0.203124 | − | 0.145742i | ||||
\(305\) | 25.9487i | 1.48582i | ||||||||
\(306\) | −0.593556 | + | 1.07675i | −0.0339313 | + | 0.0615536i | ||||
\(307\) | −0.351542 | − | 0.418952i | −0.0200636 | − | 0.0239108i | 0.755919 | − | 0.654665i | \(-0.227190\pi\) |
−0.775983 | + | 0.630754i | \(0.782746\pi\) | |||||||
\(308\) | −4.59428 | − | 12.6227i | −0.261783 | − | 0.719243i | ||||
\(309\) | −0.185706 | − | 1.90522i | −0.0105645 | − | 0.108384i | ||||
\(310\) | −5.98021 | − | 5.01799i | −0.339653 | − | 0.285003i | ||||
\(311\) | −12.1908 | − | 7.03836i | −0.691277 | − | 0.399109i | 0.112813 | − | 0.993616i | \(-0.464014\pi\) |
−0.804090 | + | 0.594507i | \(0.797347\pi\) | |||||||
\(312\) | 3.90366 | − | 5.69414i | 0.221001 | − | 0.322367i | ||||
\(313\) | −3.23018 | + | 18.3193i | −0.182580 | + | 1.03547i | 0.746444 | + | 0.665448i | \(0.231759\pi\) |
−0.929025 | + | 0.370018i | \(0.879352\pi\) | |||||||
\(314\) | 2.91168 | − | 16.5130i | 0.164316 | − | 0.931880i | ||||
\(315\) | −3.31279 | + | 21.2382i | −0.186655 | + | 1.19664i | ||||
\(316\) | 10.8513 | + | 6.26499i | 0.610433 | + | 0.352433i | ||||
\(317\) | 20.8301 | + | 17.4785i | 1.16993 | + | 0.981690i | 0.999993 | − | 0.00376423i | \(-0.00119819\pi\) |
0.169940 | + | 0.985454i | \(0.445643\pi\) | |||||||
\(318\) | 0.404540 | − | 0.0394314i | 0.0226855 | − | 0.00221120i | ||||
\(319\) | 9.92113 | + | 27.2581i | 0.555477 | + | 1.52616i | ||||
\(320\) | −2.14500 | − | 2.55631i | −0.119909 | − | 0.142902i | ||||
\(321\) | 7.00437 | + | 9.79546i | 0.390946 | + | 0.546730i | ||||
\(322\) | 1.76036i | 0.0981009i | ||||||||
\(323\) | 1.77773 | − | 0.176176i | 0.0989155 | − | 0.00980270i | ||||
\(324\) | −1.91246 | − | 8.79446i | −0.106248 | − | 0.488581i | ||||
\(325\) | 24.0848 | − | 4.24680i | 1.33598 | − | 0.235570i | ||||
\(326\) | 8.09708 | − | 6.79425i | 0.448456 | − | 0.376299i | ||||
\(327\) | 8.78325 | + | 8.61106i | 0.485715 | + | 0.476193i | ||||
\(328\) | −1.13666 | − | 0.413712i | −0.0627618 | − | 0.0228434i | ||||
\(329\) | −10.6498 | + | 12.6919i | −0.587142 | + | 0.699729i | ||||
\(330\) | −2.79482 | + | 36.0518i | −0.153850 | + | 1.98459i | ||||
\(331\) | 25.4221 | − | 14.6775i | 1.39733 | − | 0.806746i | 0.403214 | − | 0.915106i | \(-0.367893\pi\) |
0.994112 | + | 0.108360i | \(0.0345598\pi\) | |||||||
\(332\) | 9.11522 | + | 1.60726i | 0.500263 | + | 0.0882098i | ||||
\(333\) | −13.5875 | + | 11.8674i | −0.744588 | + | 0.650332i | ||||
\(334\) | −5.59752 | − | 9.69519i | −0.306283 | − | 0.530497i | ||||
\(335\) | −5.90767 | + | 10.2324i | −0.322770 | + | 0.559055i | ||||
\(336\) | −3.60157 | − | 0.926926i | −0.196482 | − | 0.0505680i | ||||
\(337\) | 4.60842 | − | 12.6615i | 0.251037 | − | 0.689717i | −0.748607 | − | 0.663014i | \(-0.769277\pi\) |
0.999643 | − | 0.0267031i | \(-0.00850087\pi\) | |||||||
\(338\) | −2.71313 | + | 0.987499i | −0.147575 | + | 0.0537129i | ||||
\(339\) | 1.66926 | − | 3.67427i | 0.0906620 | − | 0.199559i | ||||
\(340\) | −0.237488 | − | 1.34686i | −0.0128796 | − | 0.0730437i | ||||
\(341\) | −14.6356 | −0.792562 | ||||||||
\(342\) | −8.95262 | + | 9.53156i | −0.484102 | + | 0.515408i | ||||
\(343\) | −20.1612 | −1.08860 | ||||||||
\(344\) | 1.08543 | + | 6.15577i | 0.0585224 | + | 0.331897i | ||||
\(345\) | 1.96007 | − | 4.31437i | 0.105527 | − | 0.232278i | ||||
\(346\) | −20.5938 | + | 7.49553i | −1.10713 | + | 0.402962i | ||||
\(347\) | −2.06013 | + | 5.66016i | −0.110594 | + | 0.303854i | −0.982627 | − | 0.185594i | \(-0.940579\pi\) |
0.872033 | + | 0.489447i | \(0.162801\pi\) | |||||||
\(348\) | 7.77742 | + | 2.00165i | 0.416913 | + | 0.107300i | ||||
\(349\) | −14.3065 | + | 24.7795i | −0.765808 | + | 1.32642i | 0.174010 | + | 0.984744i | \(0.444328\pi\) |
−0.939818 | + | 0.341675i | \(0.889006\pi\) | |||||||
\(350\) | −6.58711 | − | 11.4092i | −0.352096 | − | 0.609848i | ||||
\(351\) | −8.19175 | + | 19.0224i | −0.437243 | + | 1.01534i | ||||
\(352\) | −6.16111 | − | 1.08637i | −0.328388 | − | 0.0579037i | ||||
\(353\) | −14.6066 | + | 8.43315i | −0.777433 | + | 0.448851i | −0.835520 | − | 0.549460i | \(-0.814833\pi\) |
0.0580867 | + | 0.998312i | \(0.481500\pi\) | |||||||
\(354\) | 0.717257 | − | 9.25225i | 0.0381218 | − | 0.491751i | ||||
\(355\) | 9.58259 | − | 11.4201i | 0.508591 | − | 0.606115i | ||||
\(356\) | −6.89257 | − | 2.50869i | −0.365306 | − | 0.132960i | ||||
\(357\) | −1.08836 | − | 1.06702i | −0.0576019 | − | 0.0564727i | ||||
\(358\) | 16.3833 | − | 13.7472i | 0.865882 | − | 0.726561i | ||||
\(359\) | 16.2813 | − | 2.87084i | 0.859295 | − | 0.151517i | 0.273397 | − | 0.961901i | \(-0.411853\pi\) |
0.585898 | + | 0.810385i | \(0.300742\pi\) | |||||||
\(360\) | 7.79482 | + | 6.28192i | 0.410823 | + | 0.331086i | ||||
\(361\) | 18.7823 | + | 2.86764i | 0.988545 | + | 0.150928i | ||||
\(362\) | 18.2835i | 0.960958i | ||||||||
\(363\) | 28.3494 | + | 39.6460i | 1.48796 | + | 2.08088i | ||||
\(364\) | 5.50110 | + | 6.55596i | 0.288336 | + | 0.343626i | ||||
\(365\) | −6.45403 | − | 17.7323i | −0.337819 | − | 0.928151i | ||||
\(366\) | 13.4049 | − | 1.30661i | 0.700686 | − | 0.0682974i | ||||
\(367\) | −7.32428 | − | 6.14580i | −0.382324 | − | 0.320808i | 0.431290 | − | 0.902213i | \(-0.358059\pi\) |
−0.813614 | + | 0.581405i | \(0.802503\pi\) | |||||||
\(368\) | 0.710025 | + | 0.409933i | 0.0370126 | + | 0.0213692i | ||||
\(369\) | 3.58548 | + | 0.559271i | 0.186653 | + | 0.0291145i | ||||
\(370\) | 3.48461 | − | 19.7622i | 0.181156 | − | 1.02739i | ||||
\(371\) | −0.0874947 | + | 0.496207i | −0.00454250 | + | 0.0257618i | ||||
\(372\) | −2.29113 | + | 3.34200i | −0.118790 | + | 0.173275i | ||||
\(373\) | 3.75197 | + | 2.16620i | 0.194270 | + | 0.112162i | 0.593980 | − | 0.804480i | \(-0.297556\pi\) |
−0.399710 | + | 0.916642i | \(0.630889\pi\) | |||||||
\(374\) | −1.96414 | − | 1.64811i | −0.101563 | − | 0.0852217i | ||||
\(375\) | 0.636837 | + | 6.53353i | 0.0328861 | + | 0.337390i | ||||
\(376\) | 2.63917 | + | 7.25106i | 0.136105 | + | 0.373945i | ||||
\(377\) | −11.8794 | − | 14.1573i | −0.611819 | − | 0.729138i | ||||
\(378\) | 11.1383 | + | 0.641944i | 0.572893 | + | 0.0330180i | ||||
\(379\) | 5.96818i | 0.306565i | 0.988182 | + | 0.153282i | \(0.0489844\pi\) | ||||
−0.988182 | + | 0.153282i | \(0.951016\pi\) | |||||||
\(380\) | 1.10084 | − | 14.5040i | 0.0564719 | − | 0.744042i | ||||
\(381\) | 0.921197 | + | 1.92552i | 0.0471943 | + | 0.0986472i | ||||
\(382\) | 3.40858 | − | 0.601025i | 0.174398 | − | 0.0307511i | ||||
\(383\) | −3.37004 | + | 2.82780i | −0.172201 | + | 0.144494i | −0.724815 | − | 0.688944i | \(-0.758075\pi\) |
0.552614 | + | 0.833437i | \(0.313630\pi\) | |||||||
\(384\) | −1.21256 | + | 1.23681i | −0.0618783 | + | 0.0631156i | ||||
\(385\) | −42.1222 | − | 15.3312i | −2.14675 | − | 0.781351i | ||||
\(386\) | 6.64414 | − | 7.91818i | 0.338178 | − | 0.403025i | ||||
\(387\) | −6.76121 | − | 17.4909i | −0.343692 | − | 0.889112i | ||||
\(388\) | 14.1347 | − | 8.16068i | 0.717582 | − | 0.414296i | ||||
\(389\) | 14.5009 | + | 2.55689i | 0.735223 | + | 0.129640i | 0.528708 | − | 0.848804i | \(-0.322677\pi\) |
0.206515 | + | 0.978443i | \(0.433788\pi\) | |||||||
\(390\) | −6.18265 | − | 22.1929i | −0.313071 | − | 1.12378i | ||||
\(391\) | 0.168006 | + | 0.290994i | 0.00849641 | + | 0.0147162i | ||||
\(392\) | −1.19492 | + | 2.06967i | −0.0603527 | + | 0.104534i | ||||
\(393\) | 2.78064 | − | 10.8041i | 0.140264 | − | 0.544997i | ||||
\(394\) | −4.06292 | + | 11.1628i | −0.204687 | + | 0.562373i | ||||
\(395\) | 39.2913 | − | 14.3009i | 1.97696 | − | 0.719554i | ||||
\(396\) | 18.7648 | − | 0.371545i | 0.942966 | − | 0.0186708i | ||||
\(397\) | 1.74751 | + | 9.91059i | 0.0877048 | + | 0.497398i | 0.996740 | + | 0.0806794i | \(0.0257090\pi\) |
−0.909035 | + | 0.416719i | \(0.863180\pi\) | |||||||
\(398\) | −24.4362 | −1.22488 | ||||||||
\(399\) | −8.40394 | − | 13.8619i | −0.420723 | − | 0.693964i | ||||
\(400\) | −6.13575 | −0.306787 | ||||||||
\(401\) | 2.58090 | + | 14.6370i | 0.128884 | + | 0.730937i | 0.978925 | + | 0.204221i | \(0.0654660\pi\) |
−0.850041 | + | 0.526717i | \(0.823423\pi\) | |||||||
\(402\) | 5.58344 | + | 2.53662i | 0.278476 | + | 0.126515i | ||||
\(403\) | 8.76220 | − | 3.18918i | 0.436476 | − | 0.158864i | ||||
\(404\) | −1.96451 | + | 5.39745i | −0.0977381 | + | 0.268533i | ||||
\(405\) | −26.5836 | − | 13.9753i | −1.32095 | − | 0.694437i | ||||
\(406\) | −4.97771 | + | 8.62165i | −0.247040 | + | 0.427885i | ||||
\(407\) | −18.8106 | − | 32.5809i | −0.932405 | − | 1.61497i | ||||
\(408\) | −0.683818 | + | 0.190503i | −0.0338540 | + | 0.00943130i | ||||
\(409\) | −9.81162 | − | 1.73005i | −0.485153 | − | 0.0855456i | −0.0742787 | − | 0.997238i | \(-0.523665\pi\) |
−0.410874 | + | 0.911692i | \(0.634777\pi\) | |||||||
\(410\) | −3.49572 | + | 2.01825i | −0.172641 | + | 0.0996745i | ||||
\(411\) | 18.6033 | + | 1.44217i | 0.917631 | + | 0.0711370i | ||||
\(412\) | 0.710405 | − | 0.846628i | 0.0349992 | − | 0.0417104i | ||||
\(413\) | 10.8101 | + | 3.93457i | 0.531932 | + | 0.193607i | ||||
\(414\) | −2.32747 | − | 0.795313i | −0.114389 | − | 0.0390875i | ||||
\(415\) | 23.6608 | − | 19.8538i | 1.16146 | − | 0.974583i | ||||
\(416\) | 3.92533 | − | 0.692141i | 0.192455 | − | 0.0339350i | ||||
\(417\) | −13.1754 | + | 6.30333i | −0.645204 | + | 0.308676i | ||||
\(418\) | −15.8975 | − | 22.1567i | −0.777574 | − | 1.08372i | ||||
\(419\) | 8.34847i | 0.407849i | 0.978987 | + | 0.203925i | \(0.0653698\pi\) | ||||
−0.978987 | + | 0.203925i | \(0.934630\pi\) | |||||||
\(420\) | −10.0949 | + | 7.21847i | −0.492579 | + | 0.352225i | ||||
\(421\) | 23.4446 | + | 27.9402i | 1.14262 | + | 1.36172i | 0.922384 | + | 0.386273i | \(0.126238\pi\) |
0.220234 | + | 0.975447i | \(0.429318\pi\) | |||||||
\(422\) | 5.66695 | + | 15.5698i | 0.275863 | + | 0.757926i | ||||
\(423\) | −11.9692 | − | 19.8148i | −0.581964 | − | 0.963428i | ||||
\(424\) | 0.179766 | + | 0.150842i | 0.00873021 | + | 0.00732552i | ||||
\(425\) | −2.17775 | − | 1.25733i | −0.105637 | − | 0.0609893i | ||||
\(426\) | −6.38204 | − | 4.37525i | −0.309211 | − | 0.211981i | ||||
\(427\) | −2.89924 | + | 16.4424i | −0.140304 | + | 0.795705i | ||||
\(428\) | −1.20729 | + | 6.84689i | −0.0583566 | + | 0.330957i | ||||
\(429\) | −35.6234 | − | 24.4219i | −1.71992 | − | 1.17910i | ||||
\(430\) | 18.0643 | + | 10.4294i | 0.871138 | + | 0.502952i | ||||
\(431\) | −8.05751 | − | 6.76105i | −0.388116 | − | 0.325668i | 0.427762 | − | 0.903891i | \(-0.359302\pi\) |
−0.815879 | + | 0.578223i | \(0.803746\pi\) | |||||||
\(432\) | 2.85269 | − | 4.34306i | 0.137250 | − | 0.208955i | ||||
\(433\) | −12.6127 | − | 34.6530i | −0.606126 | − | 1.66532i | −0.738611 | − | 0.674132i | \(-0.764518\pi\) |
0.132485 | − | 0.991185i | \(-0.457704\pi\) | |||||||
\(434\) | −3.22870 | − | 3.84782i | −0.154983 | − | 0.184701i | ||||
\(435\) | 21.7994 | − | 15.5879i | 1.04520 | − | 0.747385i | ||||
\(436\) | 7.10155i | 0.340102i | ||||||||
\(437\) | 0.964625 | + | 3.44107i | 0.0461443 | + | 0.164608i | ||||
\(438\) | −8.83538 | + | 4.22698i | −0.422171 | + | 0.201973i | ||||
\(439\) | 13.1107 | − | 2.31177i | 0.625739 | − | 0.110335i | 0.148218 | − | 0.988955i | \(-0.452646\pi\) |
0.477522 | + | 0.878620i | \(0.341535\pi\) | |||||||
\(440\) | −15.9927 | + | 13.4195i | −0.762421 | + | 0.639747i | ||||
\(441\) | 2.31827 | − | 6.78438i | 0.110394 | − | 0.323066i | ||||
\(442\) | 1.53505 | + | 0.558711i | 0.0730147 | + | 0.0265752i | ||||
\(443\) | −4.79891 | + | 5.71912i | −0.228003 | + | 0.271724i | −0.867902 | − | 0.496736i | \(-0.834532\pi\) |
0.639899 | + | 0.768459i | \(0.278976\pi\) | |||||||
\(444\) | −10.3845 | − | 0.805029i | −0.492825 | − | 0.0382050i | ||||
\(445\) | −21.1976 | + | 12.2384i | −1.00486 | + | 0.580156i | ||||
\(446\) | 11.6650 | + | 2.05686i | 0.552354 | + | 0.0973950i | ||||
\(447\) | −8.85852 | + | 2.46787i | −0.418994 | + | 0.116726i | ||||
\(448\) | −1.07356 | − | 1.85947i | −0.0507211 | − | 0.0878516i | ||||
\(449\) | −12.1781 | + | 21.0931i | −0.574722 | + | 0.995447i | 0.421350 | + | 0.906898i | \(0.361556\pi\) |
−0.996072 | + | 0.0885490i | \(0.971777\pi\) | |||||||
\(450\) | 18.0608 | − | 3.55461i | 0.851392 | − | 0.167566i | ||||
\(451\) | −2.58825 | + | 7.11115i | −0.121876 | + | 0.334851i | ||||
\(452\) | 2.18949 | − | 0.796908i | 0.102985 | − | 0.0374834i | ||||
\(453\) | −4.03676 | − | 1.83395i | −0.189664 | − | 0.0861664i | ||||
\(454\) | −4.00644 | − | 22.7216i | −0.188031 | − | 1.06638i | ||||
\(455\) | 28.5589 | 1.33886 | ||||||||
\(456\) | −7.54810 | + | 0.161642i | −0.353472 | + | 0.00756956i | ||||
\(457\) | −34.8127 | −1.62847 | −0.814236 | − | 0.580534i | \(-0.802844\pi\) | ||||
−0.814236 | + | 0.580534i | \(0.802844\pi\) | |||||||
\(458\) | −2.43908 | − | 13.8327i | −0.113971 | − | 0.646360i | ||||
\(459\) | 1.90248 | − | 0.956907i | 0.0888000 | − | 0.0446646i | ||||
\(460\) | 2.57092 | − | 0.935738i | 0.119870 | − | 0.0436290i | ||||
\(461\) | −0.765028 | + | 2.10190i | −0.0356309 | + | 0.0978951i | −0.956232 | − | 0.292608i | \(-0.905477\pi\) |
0.920601 | + | 0.390503i | \(0.127699\pi\) | |||||||
\(462\) | −5.79899 | + | 22.5320i | −0.269794 | + | 1.04828i | ||||
\(463\) | 1.84091 | − | 3.18854i | 0.0855541 | − | 0.148184i | −0.820073 | − | 0.572259i | \(-0.806067\pi\) |
0.905627 | + | 0.424075i | \(0.139401\pi\) | |||||||
\(464\) | 2.31831 | + | 4.01543i | 0.107625 | + | 0.186412i | ||||
\(465\) | 3.62872 | + | 13.0254i | 0.168278 | + | 0.604040i | ||||
\(466\) | −23.2303 | − | 4.09613i | −1.07612 | − | 0.189749i | ||||
\(467\) | 11.3948 | − | 6.57879i | 0.527288 | − | 0.304430i | −0.212623 | − | 0.977134i | \(-0.568201\pi\) |
0.739911 | + | 0.672704i | \(0.234867\pi\) | |||||||
\(468\) | −11.1533 | + | 4.31139i | −0.515564 | + | 0.199294i | ||||
\(469\) | −4.88666 | + | 5.82369i | −0.225645 | + | 0.268913i | ||||
\(470\) | 24.1970 | + | 8.80698i | 1.11612 | + | 0.406236i | ||||
\(471\) | −20.3319 | + | 20.7384i | −0.936843 | + | 0.955576i | ||||
\(472\) | 4.10432 | − | 3.44394i | 0.188917 | − | 0.158520i | ||||
\(473\) | 38.5115 | − | 6.79061i | 1.77076 | − | 0.312233i | ||||
\(474\) | −9.36615 | − | 19.5775i | −0.430202 | − | 0.899223i | ||||
\(475\) | −19.1281 | − | 18.6927i | −0.877658 | − | 0.857678i | ||||
\(476\) | − | 0.879972i | − | 0.0403335i | ||||||
\(477\) | −0.616534 | − | 0.339864i | −0.0282292 | − | 0.0155613i | ||||
\(478\) | −17.5182 | − | 20.8774i | −0.801266 | − | 0.954911i | ||||
\(479\) | 11.4643 | + | 31.4978i | 0.523816 | + | 1.43917i | 0.866240 | + | 0.499628i | \(0.166530\pi\) |
−0.342424 | + | 0.939546i | \(0.611248\pi\) | |||||||
\(480\) | 0.560722 | + | 5.75264i | 0.0255933 | + | 0.262571i | ||||
\(481\) | 18.3613 | + | 15.4069i | 0.837202 | + | 0.702496i | ||||
\(482\) | −18.4213 | − | 10.6355i | −0.839065 | − | 0.484434i | ||||
\(483\) | 1.72404 | − | 2.51481i | 0.0784466 | − | 0.114428i | ||||
\(484\) | −4.88637 | + | 27.7120i | −0.222108 | + | 1.25964i | ||||
\(485\) | 9.45772 | − | 53.6374i | 0.429453 | − | 2.43555i | ||||
\(486\) | −5.88094 | + | 14.4366i | −0.266765 | + | 0.654856i | ||||
\(487\) | −15.2052 | − | 8.77875i | −0.689015 | − | 0.397803i | 0.114228 | − | 0.993455i | \(-0.463561\pi\) |
−0.803243 | + | 0.595651i | \(0.796894\pi\) | |||||||
\(488\) | 5.95676 | + | 4.99832i | 0.269650 | + | 0.226263i | ||||
\(489\) | −18.2214 | + | 1.77608i | −0.824000 | + | 0.0803171i | ||||
\(490\) | 2.72760 | + | 7.49402i | 0.123220 | + | 0.338545i | ||||
\(491\) | −15.8204 | − | 18.8540i | −0.713964 | − | 0.850869i | 0.280065 | − | 0.959981i | \(-0.409644\pi\) |
−0.994030 | + | 0.109112i | \(0.965199\pi\) | |||||||
\(492\) | 1.21863 | + | 1.70423i | 0.0549403 | + | 0.0768328i | ||||
\(493\) | 1.90026i | 0.0855834i | ||||||||
\(494\) | 14.3458 | + | 9.80084i | 0.645447 | + | 0.440961i | ||||
\(495\) | 39.3007 | − | 48.7656i | 1.76643 | − | 2.19185i | ||||
\(496\) | −2.30385 | + | 0.406231i | −0.103446 | + | 0.0182403i | ||||
\(497\) | 7.34797 | − | 6.16568i | 0.329602 | − | 0.276569i | ||||
\(498\) | −11.4477 | − | 11.2233i | −0.512984 | − | 0.502927i | ||||
\(499\) | 13.8001 | + | 5.02282i | 0.617777 | + | 0.224852i | 0.631902 | − | 0.775048i | \(-0.282274\pi\) |
−0.0141259 | + | 0.999900i | \(0.504497\pi\) | |||||||
\(500\) | −2.43617 | + | 2.90332i | −0.108949 | + | 0.129840i | ||||
\(501\) | −1.49869 | + | 19.3324i | −0.0669567 | + | 0.863707i | ||||
\(502\) | −2.14966 | + | 1.24111i | −0.0959440 | + | 0.0553933i | ||||
\(503\) | 4.24201 | + | 0.747980i | 0.189142 | + | 0.0333508i | 0.267417 | − | 0.963581i | \(-0.413830\pi\) |
−0.0782748 | + | 0.996932i | \(0.524941\pi\) | |||||||
\(504\) | 4.23731 | + | 4.85145i | 0.188745 | + | 0.216101i | ||||
\(505\) | 9.58368 | + | 16.5994i | 0.426468 | + | 0.738665i | ||||
\(506\) | 2.56461 | − | 4.44203i | 0.114011 | − | 0.197472i | ||||
\(507\) | 4.84305 | + | 1.24644i | 0.215087 | + | 0.0553564i | ||||
\(508\) | −0.421496 | + | 1.15805i | −0.0187009 | + | 0.0513802i | ||||
\(509\) | 4.35756 | − | 1.58602i | 0.193145 | − | 0.0702991i | −0.243637 | − | 0.969867i | \(-0.578340\pi\) |
0.436782 | + | 0.899567i | \(0.356118\pi\) | |||||||
\(510\) | −0.979805 | + | 2.15668i | −0.0433865 | + | 0.0954994i | ||||
\(511\) | −2.10837 | − | 11.9572i | −0.0932690 | − | 0.528955i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 22.1244 | − | 4.84863i | 0.976818 | − | 0.214072i | ||||
\(514\) | 11.2564 | 0.496498 | ||||||||
\(515\) | −0.640425 | − | 3.63203i | −0.0282205 | − | 0.160047i | ||||
\(516\) | 4.47816 | − | 9.85703i | 0.197140 | − | 0.433932i | ||||
\(517\) | 45.3638 | − | 16.5111i | 1.99510 | − | 0.726156i | ||||
\(518\) | 4.41605 | − | 12.1330i | 0.194030 | − | 0.533093i | ||||
\(519\) | 36.7608 | + | 9.46102i | 1.61362 | + | 0.415293i | ||||
\(520\) | 6.65050 | − | 11.5190i | 0.291644 | − | 0.505141i | ||||
\(521\) | 0.205968 | + | 0.356747i | 0.00902363 | + | 0.0156294i | 0.870502 | − | 0.492165i | \(-0.163794\pi\) |
−0.861478 | + | 0.507794i | \(0.830461\pi\) | |||||||
\(522\) | −9.15028 | − | 10.4765i | −0.400497 | − | 0.458544i | ||||
\(523\) | −19.2248 | − | 3.38986i | −0.840643 | − | 0.148228i | −0.263284 | − | 0.964718i | \(-0.584806\pi\) |
−0.577359 | + | 0.816490i | \(0.695917\pi\) | |||||||
\(524\) | 5.57811 | − | 3.22053i | 0.243681 | − | 0.140689i | ||||
\(525\) | −1.76365 | + | 22.7502i | −0.0769719 | + | 0.992899i | ||||
\(526\) | −7.57578 | + | 9.02847i | −0.330320 | + | 0.393660i | ||||
\(527\) | −0.900948 | − | 0.327918i | −0.0392459 | − | 0.0142843i | ||||
\(528\) | 7.73767 | + | 7.58597i | 0.336739 | + | 0.330137i | ||||
\(529\) | 17.1041 | − | 14.3520i | 0.743657 | − | 0.624002i | ||||
\(530\) | 0.771196 | − | 0.135983i | 0.0334986 | − | 0.00590671i | ||||
\(531\) | −10.0860 | + | 12.5151i | −0.437697 | + | 0.543109i | ||||
\(532\) | 2.31808 | − | 9.06750i | 0.100502 | − | 0.393126i | ||||
\(533\) | − | 4.82137i | − | 0.208837i | ||||||
\(534\) | 7.38963 | + | 10.3342i | 0.319781 | + | 0.447206i | ||||
\(535\) | 14.9131 | + | 17.7728i | 0.644751 | + | 0.768385i | ||||
\(536\) | 1.21098 | + | 3.32715i | 0.0523065 | + | 0.143711i | ||||
\(537\) | −36.8683 | + | 3.59364i | −1.59099 | + | 0.155077i | ||||
\(538\) | 8.96522 | + | 7.52271i | 0.386518 | + | 0.324327i | ||||
\(539\) | 12.9481 | + | 7.47562i | 0.557716 | + | 0.321998i | ||||
\(540\) | −4.98317 | − | 16.6082i | −0.214442 | − | 0.714704i | ||||
\(541\) | −3.15633 | + | 17.9005i | −0.135701 | + | 0.769601i | 0.838667 | + | 0.544644i | \(0.183335\pi\) |
−0.974369 | + | 0.224957i | \(0.927776\pi\) | |||||||
\(542\) | −5.39592 | + | 30.6018i | −0.231775 | + | 1.31446i | ||||
\(543\) | 17.9063 | − | 26.1194i | 0.768433 | − | 1.12089i | ||||
\(544\) | −0.354929 | − | 0.204918i | −0.0152175 | − | 0.00878581i | ||||
\(545\) | 18.1538 | + | 15.2328i | 0.777622 | + | 0.652502i | ||||
\(546\) | −1.43804 | − | 14.7533i | −0.0615423 | − | 0.631383i | ||||
\(547\) | 1.42436 | + | 3.91340i | 0.0609014 | + | 0.167325i | 0.966412 | − | 0.256999i | \(-0.0827338\pi\) |
−0.905510 | + | 0.424324i | \(0.860512\pi\) | |||||||
\(548\) | 6.92464 | + | 8.25246i | 0.295806 | + | 0.352528i | ||||
\(549\) | −20.4296 | − | 11.2618i | −0.871914 | − | 0.480641i | ||||
\(550\) | 38.3862i | 1.63679i | ||||||||
\(551\) | −5.00579 | + | 19.5808i | −0.213254 | + | 0.834172i | ||||
\(552\) | −0.612849 | − | 1.28100i | −0.0260846 | − | 0.0545229i | ||||
\(553\) | 26.4948 | − | 4.67174i | 1.12667 | − | 0.198663i | ||||
\(554\) | 2.94108 | − | 2.46786i | 0.124955 | − | 0.104849i | ||||
\(555\) | −24.3326 | + | 24.8191i | −1.03286 | + | 1.05351i | ||||
\(556\) | −7.92402 | − | 2.88411i | −0.336053 | − | 0.122313i | ||||
\(557\) | −9.16196 | + | 10.9188i | −0.388205 | + | 0.462644i | −0.924386 | − | 0.381459i | \(-0.875422\pi\) |
0.536181 | + | 0.844103i | \(0.319866\pi\) | |||||||
\(558\) | 6.54612 | − | 2.53044i | 0.277119 | − | 0.107122i | ||||
\(559\) | −21.5767 | + | 12.4573i | −0.912599 | + | 0.526889i | ||||
\(560\) | −7.05617 | − | 1.24419i | −0.298178 | − | 0.0525767i | ||||
\(561\) | 1.19182 | + | 4.27807i | 0.0503185 | + | 0.180620i | ||||
\(562\) | 12.2731 | + | 21.2576i | 0.517708 | + | 0.896697i | ||||
\(563\) | 3.28307 | − | 5.68645i | 0.138365 | − | 0.239655i | −0.788513 | − | 0.615018i | \(-0.789149\pi\) |
0.926878 | + | 0.375363i | \(0.122482\pi\) | |||||||
\(564\) | 3.33122 | − | 12.9434i | 0.140270 | − | 0.545017i | ||||
\(565\) | 2.65930 | − | 7.30637i | 0.111878 | − | 0.307381i | ||||
\(566\) | −21.8387 | + | 7.94865i | −0.917950 | + | 0.334107i | ||||
\(567\) | −15.2832 | − | 11.8256i | −0.641836 | − | 0.496629i | ||||
\(568\) | −0.775757 | − | 4.39954i | −0.0325501 | − | 0.184601i | ||||
\(569\) | −45.7506 | −1.91797 | −0.958983 | − | 0.283465i | \(-0.908516\pi\) | ||||
−0.958983 | + | 0.283465i | \(0.908516\pi\) | |||||||
\(570\) | −15.7775 | + | 19.6420i | −0.660846 | + | 0.822714i | ||||
\(571\) | 5.82547 | 0.243788 | 0.121894 | − | 0.992543i | \(-0.461103\pi\) | ||||
0.121894 | + | 0.992543i | \(0.461103\pi\) | |||||||
\(572\) | −4.33014 | − | 24.5575i | −0.181052 | − | 1.02680i | ||||
\(573\) | −5.45805 | − | 2.47965i | −0.228013 | − | 0.103589i | ||||
\(574\) | −2.44056 | + | 0.888292i | −0.101867 | + | 0.0370766i | ||||
\(575\) | 1.72053 | − | 4.72712i | 0.0717510 | − | 0.197134i | ||||
\(576\) | 2.94353 | − | 0.579329i | 0.122647 | − | 0.0241387i | ||||
\(577\) | −17.9425 | + | 31.0773i | −0.746956 | + | 1.29377i | 0.202320 | + | 0.979319i | \(0.435152\pi\) |
−0.949276 | + | 0.314446i | \(0.898181\pi\) | |||||||
\(578\) | 8.41602 | + | 14.5770i | 0.350060 | + | 0.606322i | ||||
\(579\) | −17.2465 | + | 4.80465i | −0.716740 | + | 0.199675i | ||||
\(580\) | 15.2375 | + | 2.68678i | 0.632702 | + | 0.111562i | ||||
\(581\) | 17.2109 | − | 9.93674i | 0.714030 | − | 0.412245i | ||||
\(582\) | −28.1849 | − | 2.18496i | −1.16830 | − | 0.0905695i | ||||
\(583\) | 0.943689 | − | 1.12464i | 0.0390836 | − | 0.0465780i | ||||
\(584\) | −5.31380 | − | 1.93407i | −0.219887 | − | 0.0800322i | ||||
\(585\) | −12.9027 | + | 37.7594i | −0.533459 | + | 1.56116i | ||||
\(586\) | −8.40598 | + | 7.05345i | −0.347248 | + | 0.291376i | ||||
\(587\) | −29.5771 | + | 5.21525i | −1.22078 | + | 0.215256i | −0.746661 | − | 0.665205i | \(-0.768344\pi\) |
−0.474118 | + | 0.880461i | \(0.657233\pi\) | |||||||
\(588\) | 3.73401 | − | 1.78641i | 0.153988 | − | 0.0736701i | ||||
\(589\) | −8.41982 | − | 5.75231i | −0.346932 | − | 0.237020i | ||||
\(590\) | − | 17.8792i | − | 0.736074i | ||||||
\(591\) | 16.7367 | − | 11.9678i | 0.688456 | − | 0.492289i | ||||
\(592\) | −3.86538 | − | 4.60658i | −0.158866 | − | 0.189329i | ||||
\(593\) | 0.268437 | + | 0.737526i | 0.0110234 | + | 0.0302866i | 0.945082 | − | 0.326832i | \(-0.105981\pi\) |
−0.934059 | + | 0.357119i | \(0.883759\pi\) | |||||||
\(594\) | −27.1708 | − | 17.8469i | −1.11483 | − | 0.732267i | ||||
\(595\) | −2.24948 | − | 1.88754i | −0.0922198 | − | 0.0773816i | ||||
\(596\) | −4.59793 | − | 2.65462i | −0.188339 | − | 0.108737i | ||||
\(597\) | 34.9090 | + | 23.9321i | 1.42873 | + | 0.979476i | ||||
\(598\) | −0.567463 | + | 3.21824i | −0.0232053 | + | 0.131604i | ||||
\(599\) | 2.35948 | − | 13.3813i | 0.0964057 | − | 0.546744i | −0.897902 | − | 0.440196i | \(-0.854909\pi\) |
0.994308 | − | 0.106548i | \(-0.0339798\pi\) | |||||||
\(600\) | 8.76539 | + | 6.00917i | 0.357845 | + | 0.245323i | ||||
\(601\) | 1.41283 | + | 0.815696i | 0.0576304 | + | 0.0332729i | 0.528538 | − | 0.848909i | \(-0.322740\pi\) |
−0.470908 | + | 0.882182i | \(0.656074\pi\) | |||||||
\(602\) | 10.2812 | + | 8.62693i | 0.419029 | + | 0.351607i | ||||
\(603\) | −5.49208 | − | 9.09201i | −0.223655 | − | 0.370255i | ||||
\(604\) | −0.875527 | − | 2.40549i | −0.0356247 | − | 0.0978781i | ||||
\(605\) | 60.3592 | + | 71.9333i | 2.45395 | + | 2.92450i | ||||
\(606\) | 8.09256 | − | 5.78669i | 0.328738 | − | 0.235068i | ||||
\(607\) | − | 23.6670i | − | 0.960615i | −0.877100 | − | 0.480308i | \(-0.840525\pi\) | ||
0.877100 | − | 0.480308i | \(-0.159475\pi\) | |||||||
\(608\) | −3.11749 | − | 3.04652i | −0.126431 | − | 0.123553i | ||||
\(609\) | 15.5548 | − | 7.44167i | 0.630314 | − | 0.301552i | ||||
\(610\) | 25.5545 | − | 4.50595i | 1.03467 | − | 0.182441i | ||||
\(611\) | −23.5610 | + | 19.7700i | −0.953177 | + | 0.799811i | ||||
\(612\) | 1.16346 | + | 0.397563i | 0.0470301 | + | 0.0160705i | ||||
\(613\) | 14.7136 | + | 5.35532i | 0.594278 | + | 0.216299i | 0.621610 | − | 0.783327i | \(-0.286479\pi\) |
−0.0273321 | + | 0.999626i | \(0.508701\pi\) | |||||||
\(614\) | −0.351542 | + | 0.418952i | −0.0141871 | + | 0.0169075i | ||||
\(615\) | 6.97052 | + | 0.540372i | 0.281079 | + | 0.0217899i | ||||
\(616\) | −11.6331 | + | 6.71638i | −0.468712 | + | 0.270611i | ||||
\(617\) | −19.6258 | − | 3.46056i | −0.790105 | − | 0.139317i | −0.235988 | − | 0.971756i | \(-0.575833\pi\) |
−0.554117 | + | 0.832439i | \(0.686944\pi\) | |||||||
\(618\) | −1.84403 | + | 0.513724i | −0.0741778 | + | 0.0206650i | ||||
\(619\) | −3.55524 | − | 6.15786i | −0.142897 | − | 0.247505i | 0.785689 | − | 0.618621i | \(-0.212309\pi\) |
−0.928587 | + | 0.371116i | \(0.878975\pi\) | |||||||
\(620\) | −3.90331 | + | 6.76072i | −0.156761 | + | 0.271517i | ||||
\(621\) | 2.54606 | + | 3.41562i | 0.102170 | + | 0.137064i | ||||
\(622\) | −4.81452 | + | 13.2278i | −0.193045 | + | 0.530386i | ||||
\(623\) | −14.7992 | + | 5.38648i | −0.592919 | + | 0.215805i | ||||
\(624\) | −6.28550 | − | 2.85557i | −0.251621 | − | 0.114314i | ||||
\(625\) | −3.13111 | − | 17.7574i | −0.125244 | − | 0.710297i | ||||
\(626\) | 18.6019 | 0.743480 | ||||||||
\(627\) | 1.01125 | + | 47.2221i | 0.0403856 | + | 1.88587i | ||||
\(628\) | −16.7677 | −0.669104 | ||||||||
\(629\) | −0.427962 | − | 2.42710i | −0.0170640 | − | 0.0967746i | ||||
\(630\) | 21.4909 | − | 0.425521i | 0.856216 | − | 0.0169532i | ||||
\(631\) | −1.16675 | + | 0.424661i | −0.0464474 | + | 0.0169055i | −0.365139 | − | 0.930953i | \(-0.618979\pi\) |
0.318692 | + | 0.947858i | \(0.396756\pi\) | |||||||
\(632\) | 4.28551 | − | 11.7743i | 0.170468 | − | 0.468358i | ||||
\(633\) | 7.15294 | − | 27.7927i | 0.284304 | − | 1.10466i | ||||
\(634\) | 13.5959 | − | 23.5487i | 0.539960 | − | 0.935239i | ||||
\(635\) | 2.05623 | + | 3.56149i | 0.0815989 | + | 0.141334i | ||||
\(636\) | −0.109080 | − | 0.391547i | −0.00432530 | − | 0.0155258i | ||||
\(637\) | −9.38092 | − | 1.65411i | −0.371685 | − | 0.0655382i | ||||
\(638\) | 25.1212 | − | 14.5037i | 0.994557 | − | 0.574208i | ||||
\(639\) | 4.83225 | + | 12.5008i | 0.191161 | + | 0.494522i | ||||
\(640\) | −2.14500 | + | 2.55631i | −0.0847885 | + | 0.101047i | ||||
\(641\) | 7.06477 | + | 2.57137i | 0.279042 | + | 0.101563i | 0.477750 | − | 0.878496i | \(-0.341452\pi\) |
−0.198708 | + | 0.980059i | \(0.563675\pi\) | |||||||
\(642\) | 8.43035 | − | 8.59893i | 0.332719 | − | 0.339373i | ||||
\(643\) | −9.31005 | + | 7.81206i | −0.367153 | + | 0.308078i | −0.807634 | − | 0.589684i | \(-0.799252\pi\) |
0.440481 | + | 0.897762i | \(0.354808\pi\) | |||||||
\(644\) | 1.73361 | − | 0.305683i | 0.0683139 | − | 0.0120456i | ||||
\(645\) | −15.5920 | − | 32.5909i | −0.613933 | − | 1.28327i | ||||
\(646\) | −0.482199 | − | 1.72013i | −0.0189719 | − | 0.0676776i | ||||
\(647\) | − | 38.1298i | − | 1.49904i | −0.661983 | − | 0.749519i | \(-0.730285\pi\) | ||
0.661983 | − | 0.749519i | \(-0.269715\pi\) | |||||||
\(648\) | −8.32876 | + | 3.41055i | −0.327184 | + | 0.133979i | ||||
\(649\) | −21.5458 | − | 25.6773i | −0.845747 | − | 1.00792i | ||||
\(650\) | −8.36457 | − | 22.9815i | −0.328085 | − | 0.901407i | ||||
\(651\) | 0.844012 | + | 8.65901i | 0.0330794 | + | 0.339373i | ||||
\(652\) | −8.09708 | − | 6.79425i | −0.317106 | − | 0.266084i | ||||
\(653\) | −39.7547 | − | 22.9524i | −1.55572 | − | 0.898196i | −0.997658 | − | 0.0683980i | \(-0.978211\pi\) |
−0.558063 | − | 0.829798i | \(-0.688455\pi\) | |||||||
\(654\) | 6.95505 | − | 10.1451i | 0.271964 | − | 0.396705i | ||||
\(655\) | 3.73239 | − | 21.1674i | 0.145836 | − | 0.827080i | ||||
\(656\) | −0.210047 | + | 1.19124i | −0.00820096 | + | 0.0465099i | ||||
\(657\) | 16.7618 | + | 2.61454i | 0.653940 | + | 0.102003i | ||||
\(658\) | 14.3484 | + | 8.28407i | 0.559360 | + | 0.322947i | ||||
\(659\) | 14.3577 | + | 12.0475i | 0.559295 | + | 0.469304i | 0.878074 | − | 0.478525i | \(-0.158828\pi\) |
−0.318779 | + | 0.947829i | \(0.603273\pi\) | |||||||
\(660\) | 35.9894 | − | 3.50796i | 1.40089 | − | 0.136547i | ||||
\(661\) | 4.05073 | + | 11.1293i | 0.157555 | + | 0.432879i | 0.993204 | − | 0.116385i | \(-0.0371306\pi\) |
−0.835649 | + | 0.549263i | \(0.814908\pi\) | |||||||
\(662\) | −18.8690 | − | 22.4872i | −0.733364 | − | 0.873989i | ||||
\(663\) | −1.64575 | − | 2.30154i | −0.0639155 | − | 0.0893844i | ||||
\(664\) | − | 9.25584i | − | 0.359196i | ||||||
\(665\) | −18.2071 | − | 25.3755i | −0.706039 | − | 0.984020i | ||||
\(666\) | 14.0466 | + | 11.3203i | 0.544294 | + | 0.438652i | ||||
\(667\) | −3.74366 | + | 0.660108i | −0.144955 | + | 0.0255595i | ||||
\(668\) | −8.57590 | + | 7.19604i | −0.331812 | + | 0.278423i | ||||
\(669\) | −14.6499 | − | 14.3627i | −0.566400 | − | 0.555296i | ||||
\(670\) | 11.1028 | + | 4.04108i | 0.428938 | + | 0.156121i | ||||
\(671\) | 31.2703 | − | 37.2665i | 1.20718 | − | 1.43866i | ||||
\(672\) | −0.287438 | + | 3.70781i | −0.0110882 | + | 0.143032i | ||||
\(673\) | −9.02264 | + | 5.20922i | −0.347797 | + | 0.200801i | −0.663715 | − | 0.747986i | \(-0.731021\pi\) |
0.315917 | + | 0.948787i | \(0.397688\pi\) | |||||||
\(674\) | −13.2694 | − | 2.33976i | −0.511119 | − | 0.0901240i | ||||
\(675\) | −29.2825 | − | 12.6101i | −1.12708 | − | 0.485364i | ||||
\(676\) | 1.44363 | + | 2.50044i | 0.0555241 | + | 0.0961706i | ||||
\(677\) | −10.3670 | + | 17.9562i | −0.398437 | + | 0.690112i | −0.993533 | − | 0.113542i | \(-0.963780\pi\) |
0.595097 | + | 0.803654i | \(0.297114\pi\) | |||||||
\(678\) | −3.90832 | − | 1.00587i | −0.150098 | − | 0.0386303i | ||||
\(679\) | 11.9858 | − | 32.9306i | 0.459972 | − | 1.26376i | ||||
\(680\) | −1.28516 | + | 0.467759i | −0.0492836 | + | 0.0179377i | ||||
\(681\) | −16.5294 | + | 36.3834i | −0.633408 | + | 1.39421i | ||||
\(682\) | 2.54145 | + | 14.4133i | 0.0973170 | + | 0.551912i | ||||
\(683\) | 2.79983 | 0.107132 | 0.0535662 | − | 0.998564i | \(-0.482941\pi\) | ||||
0.0535662 | + | 0.998564i | \(0.482941\pi\) | |||||||
\(684\) | 10.9414 | + | 7.16147i | 0.418353 | + | 0.273826i | ||||
\(685\) | 35.9492 | 1.37355 | ||||||||
\(686\) | 3.50095 | + | 19.8549i | 0.133667 | + | 0.758064i | ||||
\(687\) | −10.0629 | + | 22.1499i | −0.383925 | + | 0.845070i | ||||
\(688\) | 5.87377 | − | 2.13788i | 0.223935 | − | 0.0815058i | ||||
\(689\) | −0.319912 | + | 0.878950i | −0.0121877 | + | 0.0334853i | ||||
\(690\) | −4.58919 | − | 1.18111i | −0.174708 | − | 0.0449640i | ||||
\(691\) | −4.20182 | + | 7.27776i | −0.159845 | + | 0.276859i | −0.934813 | − | 0.355142i | \(-0.884433\pi\) |
0.774968 | + | 0.632001i | \(0.217766\pi\) | |||||||
\(692\) | 10.9577 | + | 18.9794i | 0.416551 | + | 0.721487i | ||||
\(693\) | 30.3514 | − | 26.5093i | 1.15296 | − | 1.00700i | ||||
\(694\) | 5.93191 | + | 1.04596i | 0.225172 | + | 0.0397040i | ||||
\(695\) | −24.3697 | + | 14.0698i | −0.924395 | + | 0.533700i | ||||
\(696\) | 0.620710 | − | 8.00685i | 0.0235280 | − | 0.303499i | ||||
\(697\) | −0.318658 | + | 0.379762i | −0.0120700 | + | 0.0143845i | ||||
\(698\) | 26.8874 | + | 9.78621i | 1.01770 | + | 0.370413i | ||||
\(699\) | 29.1746 | + | 28.6027i | 1.10349 | + | 1.08185i | ||||
\(700\) | −10.0920 | + | 8.46823i | −0.381443 | + | 0.320069i | ||||
\(701\) | −14.9472 | + | 2.63560i | −0.564549 | + | 0.0995451i | −0.448636 | − | 0.893714i | \(-0.648090\pi\) |
−0.115912 | + | 0.993259i | \(0.536979\pi\) | |||||||
\(702\) | 20.1559 | + | 4.76410i | 0.760734 | + | 0.179809i | ||||
\(703\) | 1.98376 | − | 26.1369i | 0.0748190 | − | 0.985771i | ||||
\(704\) | 6.25616i | 0.235788i | ||||||||
\(705\) | −25.9420 | − | 36.2793i | −0.977031 | − | 1.36636i | ||||
\(706\) | 10.8414 | + | 12.9203i | 0.408023 | + | 0.486263i | ||||
\(707\) | 4.21806 | + | 11.5890i | 0.158636 | + | 0.435850i | ||||
\(708\) | −9.23623 | + | 0.900276i | −0.347119 | + | 0.0338344i | ||||
\(709\) | −29.3000 | − | 24.5857i | −1.10039 | − | 0.923334i | −0.102935 | − | 0.994688i | \(-0.532823\pi\) |
−0.997451 | + | 0.0713544i | \(0.977268\pi\) | |||||||
\(710\) | −12.9106 | − | 7.45393i | −0.484526 | − | 0.279741i | ||||
\(711\) | −5.79331 | + | 37.1409i | −0.217266 | + | 1.39289i | ||||
\(712\) | −1.27370 | + | 7.22349i | −0.0477338 | + | 0.270712i | ||||
\(713\) | 0.333055 | − | 1.88885i | 0.0124730 | − | 0.0707380i | ||||
\(714\) | −0.861819 | + | 1.25711i | −0.0322528 | + | 0.0470461i | ||||
\(715\) | −72.0647 | − | 41.6065i | −2.69507 | − | 1.55600i | ||||
\(716\) | −16.3833 | − | 13.7472i | −0.612271 | − | 0.513756i | ||||
\(717\) | 4.57942 | + | 46.9819i | 0.171022 | + | 1.75457i | ||||
\(718\) | −5.65444 | − | 15.5354i | −0.211022 | − | 0.579778i | ||||
\(719\) | −24.9620 | − | 29.7485i | −0.930924 | − | 1.10943i | −0.993775 | − | 0.111410i | \(-0.964463\pi\) |
0.0628501 | − | 0.998023i | \(-0.479981\pi\) | |||||||
\(720\) | 4.83293 | − | 8.76724i | 0.180113 | − | 0.326736i | ||||
\(721\) | − | 2.37299i | − | 0.0883749i | ||||||
\(722\) | −0.437448 | − | 18.9950i | −0.0162801 | − | 0.706919i | ||||
\(723\) | 15.9001 | + | 33.2349i | 0.591330 | + | 1.23602i | ||||
\(724\) | 18.0057 | − | 3.17489i | 0.669177 | − | 0.117994i | ||||
\(725\) | 21.7933 | − | 18.2868i | 0.809383 | − | 0.679153i | ||||
\(726\) | 34.1209 | − | 34.8032i | 1.26634 | − | 1.29167i | ||||
\(727\) | 35.9582 | + | 13.0877i | 1.33361 | + | 0.485396i | 0.907796 | − | 0.419413i | \(-0.137764\pi\) |
0.425818 | + | 0.904809i | \(0.359986\pi\) | |||||||
\(728\) | 5.50110 | − | 6.55596i | 0.203884 | − | 0.242980i | ||||
\(729\) | 22.5401 | − | 14.8641i | 0.834820 | − | 0.550524i | ||||
\(730\) | −16.3422 | + | 9.43516i | −0.604851 | + | 0.349211i | ||||
\(731\) | 2.52286 | + | 0.444849i | 0.0933114 | + | 0.0164533i | ||||
\(732\) | −3.61449 | − | 12.9744i | −0.133595 | − | 0.479546i | ||||
\(733\) | −7.71039 | − | 13.3548i | −0.284790 | − | 0.493270i | 0.687768 | − | 0.725930i | \(-0.258590\pi\) |
−0.972558 | + | 0.232660i | \(0.925257\pi\) | |||||||
\(734\) | −4.78059 | + | 8.28022i | −0.176455 | + | 0.305628i | ||||
\(735\) | 3.44284 | − | 13.3771i | 0.126991 | − | 0.493423i | ||||
\(736\) | 0.280411 | − | 0.770422i | 0.0103361 | − | 0.0283981i | ||||
\(737\) | 20.8152 | − | 7.57610i | 0.766736 | − | 0.279069i | ||||
\(738\) | −0.0718373 | − | 3.62813i | −0.00264437 | − | 0.133553i | ||||
\(739\) | −4.98207 | − | 28.2547i | −0.183268 | − | 1.03937i | −0.928160 | − | 0.372181i | \(-0.878610\pi\) |
0.744892 | − | 0.667185i | \(-0.232501\pi\) | |||||||
\(740\) | −20.0671 | −0.737680 | ||||||||
\(741\) | −10.8954 | − | 28.0511i | −0.400252 | − | 1.03048i | ||||
\(742\) | 0.503862 | 0.0184974 | ||||||||
\(743\) | 4.95784 | + | 28.1173i | 0.181886 | + | 1.03152i | 0.929892 | + | 0.367833i | \(0.119900\pi\) |
−0.748006 | + | 0.663691i | \(0.768989\pi\) | |||||||
\(744\) | 3.68908 | + | 1.67599i | 0.135248 | + | 0.0614448i | ||||
\(745\) | −16.6486 | + | 6.05959i | −0.609957 | + | 0.222006i | ||||
\(746\) | 1.48177 | − | 4.07112i | 0.0542514 | − | 0.149054i | ||||
\(747\) | 5.36218 | + | 27.2449i | 0.196192 | + | 0.996837i | ||||
\(748\) | −1.28200 | + | 2.22049i | −0.0468746 | + | 0.0811892i | ||||
\(749\) | 7.46397 | + | 12.9280i | 0.272727 | + | 0.472378i | ||||
\(750\) | 6.32369 | − | 1.76170i | 0.230908 | − | 0.0643281i | ||||
\(751\) | 12.4716 | + | 2.19908i | 0.455096 | + | 0.0802457i | 0.396497 | − | 0.918036i | \(-0.370226\pi\) |
0.0585987 | + | 0.998282i | \(0.481337\pi\) | |||||||
\(752\) | 6.68262 | − | 3.85821i | 0.243690 | − | 0.140694i | ||||
\(753\) | 4.28646 | + | 0.332297i | 0.156207 | + | 0.0121096i | ||||
\(754\) | −11.8794 | + | 14.1573i | −0.432622 | + | 0.515578i | ||||
\(755\) | −8.02719 | − | 2.92166i | −0.292139 | − | 0.106330i | ||||
\(756\) | −1.30196 | − | 11.0806i | −0.0473517 | − | 0.402997i | ||||
\(757\) | 38.4432 | − | 32.2577i | 1.39724 | − | 1.17243i | 0.434934 | − | 0.900462i | \(-0.356772\pi\) |
0.962308 | − | 0.271963i | \(-0.0876729\pi\) | |||||||
\(758\) | 5.87751 | − | 1.03636i | 0.213481 | − | 0.0376424i | ||||
\(759\) | −8.01413 | + | 3.83408i | −0.290894 | + | 0.139168i | ||||
\(760\) | −14.4749 | + | 1.43448i | −0.525058 | + | 0.0520342i | ||||
\(761\) | − | 26.6803i | − | 0.967159i | −0.875300 | − | 0.483580i | \(-0.839336\pi\) | ||
0.875300 | − | 0.483580i | \(-0.160664\pi\) | |||||||
\(762\) | 1.73630 | − | 1.24156i | 0.0628995 | − | 0.0449771i | ||||
\(763\) | 9.80118 | + | 11.6806i | 0.354826 | + | 0.422866i | ||||
\(764\) | −1.18379 | − | 3.25243i | −0.0428279 | − | 0.117669i | ||||
\(765\) | 3.51192 | − | 2.12139i | 0.126974 | − | 0.0766991i | ||||
\(766\) | 3.37004 | + | 2.82780i | 0.121764 | + | 0.102172i | ||||
\(767\) | 18.4945 | + | 10.6778i | 0.667798 | + | 0.385553i | ||||
\(768\) | 1.42858 | + | 0.979371i | 0.0515493 | + | 0.0353400i | ||||
\(769\) | −6.83201 | + | 38.7463i | −0.246369 | + | 1.39723i | 0.570924 | + | 0.821003i | \(0.306585\pi\) |
−0.817292 | + | 0.576223i | \(0.804526\pi\) | |||||||
\(770\) | −7.78387 | + | 44.1445i | −0.280511 | + | 1.59086i | ||||
\(771\) | −16.0806 | − | 11.0242i | −0.579130 | − | 0.397026i | ||||
\(772\) | −8.95163 | − | 5.16822i | −0.322176 | − | 0.186008i | ||||
\(773\) | 2.48012 | + | 2.08107i | 0.0892039 | + | 0.0748509i | 0.686299 | − | 0.727319i | \(-0.259234\pi\) |
−0.597095 | + | 0.802170i | \(0.703679\pi\) | |||||||
\(774\) | −16.0511 | + | 9.69575i | −0.576944 | + | 0.348507i | ||||
\(775\) | 4.90933 | + | 13.4883i | 0.176348 | + | 0.484513i | ||||
\(776\) | −10.4912 | − | 12.5029i | −0.376611 | − | 0.448828i | ||||
\(777\) | −18.1914 | + | 13.0080i | −0.652612 | + | 0.466658i | ||||
\(778\) | − | 14.7246i | − | 0.527901i | ||||||
\(779\) | −4.28394 | + | 3.07375i | −0.153488 | + | 0.110128i | ||||
\(780\) | −20.7821 | + | 9.94248i | −0.744119 | + | 0.355998i | ||||
\(781\) | −27.5242 | + | 4.85326i | −0.984893 | + | 0.173663i | ||||
\(782\) | 0.257400 | − | 0.215984i | 0.00920459 | − | 0.00772357i | ||||
\(783\) | 2.81152 | + | 23.9280i | 0.100475 | + | 0.855117i | ||||
\(784\) | 2.24572 | + | 0.817375i | 0.0802042 | + | 0.0291919i | ||||
\(785\) | −35.9667 | + | 42.8634i | −1.28371 | + | 1.52986i | ||||
\(786\) | −11.1229 | − | 0.862271i | −0.396739 | − | 0.0307562i | ||||
\(787\) | −22.8624 | + | 13.1996i | −0.814956 | + | 0.470515i | −0.848674 | − | 0.528916i | \(-0.822599\pi\) |
0.0337179 | + | 0.999431i | \(0.489265\pi\) | |||||||
\(788\) | 11.6987 | + | 2.06280i | 0.416749 | + | 0.0734842i | ||||
\(789\) | 19.6648 | − | 5.47836i | 0.700086 | − | 0.195035i | ||||
\(790\) | −20.9065 | − | 36.2110i | −0.743818 | − | 1.28833i | ||||
\(791\) | 2.50141 | − | 4.33256i | 0.0889397 | − | 0.154048i | ||||
\(792\) | −3.62437 | − | 18.4152i | −0.128786 | − | 0.654355i | ||||
\(793\) | −10.6007 | + | 29.1251i | −0.376440 | + | 1.03426i | ||||
\(794\) | 9.45658 | − | 3.44191i | 0.335601 | − | 0.122149i | ||||
\(795\) | −1.23489 | − | 0.561025i | −0.0437971 | − | 0.0198975i | ||||
\(796\) | 4.24330 | + | 24.0650i | 0.150400 | + | 0.852960i | ||||
\(797\) | −9.50783 | −0.336785 | −0.168392 | − | 0.985720i | \(-0.553858\pi\) | ||||
−0.168392 | + | 0.985720i | \(0.553858\pi\) | |||||||
\(798\) | −12.1920 | + | 10.6834i | −0.431592 | + | 0.378187i | ||||
\(799\) | 3.16247 | 0.111880 | ||||||||
\(800\) | 1.06546 | + | 6.04253i | 0.0376697 | + | 0.213636i | ||||
\(801\) | −0.435612 | − | 22.0005i | −0.0153916 | − | 0.777348i | ||||
\(802\) | 13.9665 | − | 5.08338i | 0.493173 | − | 0.179500i | ||||
\(803\) | −12.0998 | + | 33.2440i | −0.426993 | + | 1.17315i | ||||
\(804\) | 1.52853 | − | 5.93909i | 0.0539070 | − | 0.209456i | ||||
\(805\) | 2.93718 | − | 5.08734i | 0.103522 | − | 0.179305i | ||||
\(806\) | −4.66227 | − | 8.07529i | −0.164221 | − | 0.284440i | ||||
\(807\) | −5.43998 | − | 19.5270i | −0.191497 | − | 0.687384i | ||||
\(808\) | 5.65658 | + | 0.997408i | 0.198998 | + | 0.0350887i | ||||
\(809\) | −31.3018 | + | 18.0721i | −1.10051 | + | 0.635380i | −0.936355 | − | 0.351054i | \(-0.885823\pi\) |
−0.164156 | + | 0.986434i | \(0.552490\pi\) | |||||||
\(810\) | −9.14676 | + | 28.6065i | −0.321384 | + | 1.00513i | ||||
\(811\) | 16.3764 | − | 19.5167i | 0.575054 | − | 0.685323i | −0.397606 | − | 0.917556i | \(-0.630159\pi\) |
0.972660 | + | 0.232233i | \(0.0746033\pi\) | |||||||
\(812\) | 9.35504 | + | 3.40496i | 0.328297 | + | 0.119491i | ||||
\(813\) | 37.6790 | − | 38.4324i | 1.32146 | − | 1.34788i | ||||
\(814\) | −28.8195 | + | 24.1824i | −1.01012 | + | 0.847593i | ||||
\(815\) | −34.7364 | + | 6.12497i | −1.21676 | + | 0.214548i | ||||
\(816\) | 0.306353 | + | 0.640349i | 0.0107245 | + | 0.0224167i | ||||
\(817\) | 24.8245 | + | 11.2297i | 0.868498 | + | 0.392879i | ||||
\(818\) | 9.96298i | 0.348347i | ||||||||
\(819\) | −12.3946 | + | 22.4846i | −0.433103 | + | 0.785676i | ||||
\(820\) | 2.59462 | + | 3.09214i | 0.0906080 | + | 0.107982i | ||||
\(821\) | −3.53702 | − | 9.71788i | −0.123443 | − | 0.339156i | 0.862543 | − | 0.505983i | \(-0.168870\pi\) |
−0.985986 | + | 0.166827i | \(0.946648\pi\) | |||||||
\(822\) | −1.81016 | − | 18.5711i | −0.0631366 | − | 0.647740i | ||||
\(823\) | 11.1336 | + | 9.34221i | 0.388093 | + | 0.325649i | 0.815870 | − | 0.578235i | \(-0.196259\pi\) |
−0.427776 | + | 0.903885i | \(0.640703\pi\) | |||||||
\(824\) | −0.957127 | − | 0.552597i | −0.0333431 | − | 0.0192506i | ||||
\(825\) | 37.5943 | − | 54.8376i | 1.30887 | − | 1.90920i | ||||
\(826\) | 1.99763 | − | 11.3291i | 0.0695065 | − | 0.394191i | ||||
\(827\) | −4.21974 | + | 23.9313i | −0.146735 | + | 0.832174i | 0.819223 | + | 0.573475i | \(0.194405\pi\) |
−0.965958 | + | 0.258699i | \(0.916706\pi\) | |||||||
\(828\) | −0.379070 | + | 2.43021i | −0.0131736 | + | 0.0844557i | ||||
\(829\) | 43.3587 | + | 25.0331i | 1.50591 | + | 0.869437i | 0.999976 | + | 0.00686327i | \(0.00218466\pi\) |
0.505932 | + | 0.862573i | \(0.331149\pi\) | |||||||
\(830\) | −23.6608 | − | 19.8538i | −0.821279 | − | 0.689134i | ||||
\(831\) | −6.61851 | + | 0.645121i | −0.229594 | + | 0.0223790i | ||||
\(832\) | −1.36325 | − | 3.74550i | −0.0472623 | − | 0.129852i | ||||
\(833\) | 0.629576 | + | 0.750299i | 0.0218135 | + | 0.0259963i | ||||
\(834\) | 8.49546 | + | 11.8807i | 0.294174 | + | 0.411396i | ||||
\(835\) | 37.3582i | 1.29283i | ||||||||
\(836\) | −19.0595 | + | 19.5035i | −0.659186 | + | 0.674542i | ||||
\(837\) | −11.8299 | − | 2.79614i | −0.408900 | − | 0.0966488i | ||||
\(838\) | 8.22164 | − | 1.44970i | 0.284012 | − | 0.0500789i | ||||
\(839\) | 25.2797 | − | 21.2122i | 0.872752 | − | 0.732326i | −0.0919238 | − | 0.995766i | \(-0.529302\pi\) |
0.964676 | + | 0.263440i | \(0.0848572\pi\) | |||||||
\(840\) | 8.86176 | + | 8.68803i | 0.305760 | + | 0.299766i | ||||
\(841\) | 7.04931 | + | 2.56574i | 0.243080 | + | 0.0884737i | ||||
\(842\) | 23.4446 | − | 27.9402i | 0.807954 | − | 0.962882i | ||||
\(843\) | 3.28602 | − | 42.3880i | 0.113177 | − | 1.45992i | ||||
\(844\) | 14.3492 | − | 8.28452i | 0.493920 | − | 0.285165i | ||||
\(845\) | 9.48847 | + | 1.67307i | 0.326413 | + | 0.0575555i | ||||
\(846\) | −17.4353 | + | 15.2282i | −0.599439 | + | 0.523556i | ||||
\(847\) | 30.2095 | + | 52.3245i | 1.03801 | + | 1.79789i | ||||
\(848\) | 0.117334 | − | 0.203228i | 0.00402927 | − | 0.00697889i | ||||
\(849\) | 38.9830 | + | 10.0330i | 1.33789 | + | 0.344330i | ||||
\(850\) | −0.860063 | + | 2.36300i | −0.0294999 | + | 0.0810503i | ||||
\(851\) | 4.63290 | − | 1.68624i | 0.158814 | − | 0.0578035i | ||||
\(852\) | −3.20055 | + | 7.04483i | −0.109649 | + | 0.241352i | ||||
\(853\) | 5.13243 | + | 29.1074i | 0.175731 | + | 0.996620i | 0.937297 | + | 0.348532i | \(0.113320\pi\) |
−0.761566 | + | 0.648088i | \(0.775569\pi\) | |||||||
\(854\) | 16.6961 | 0.571328 | ||||||||
\(855\) | 41.7762 | − | 12.6082i | 1.42871 | − | 0.431190i | ||||
\(856\) | 6.95251 | 0.237632 | ||||||||
\(857\) | −8.49473 | − | 48.1760i | −0.290175 | − | 1.64566i | −0.686193 | − | 0.727419i | \(-0.740720\pi\) |
0.396019 | − | 0.918242i | \(-0.370392\pi\) | |||||||
\(858\) | −17.8649 | + | 39.3230i | −0.609898 | + | 1.34247i | ||||
\(859\) | −36.8403 | + | 13.4088i | −1.25698 | + | 0.457502i | −0.882753 | − | 0.469837i | \(-0.844313\pi\) |
−0.374222 | + | 0.927339i | \(0.622090\pi\) | |||||||
\(860\) | 7.13415 | − | 19.6009i | 0.243272 | − | 0.668386i | ||||
\(861\) | 4.35650 | + | 1.12122i | 0.148469 | + | 0.0382111i | ||||
\(862\) | −5.25916 | + | 9.10914i | −0.179128 | + | 0.310258i | ||||
\(863\) | −17.6337 | − | 30.5424i | −0.600257 | − | 1.03967i | −0.992782 | − | 0.119934i | \(-0.961732\pi\) |
0.392525 | − | 0.919741i | \(-0.371602\pi\) | |||||||
\(864\) | −4.77244 | − | 2.05519i | −0.162362 | − | 0.0699191i | ||||
\(865\) | 72.0215 | + | 12.6993i | 2.44880 | + | 0.431790i | ||||
\(866\) | −31.9364 | + | 18.4385i | −1.08524 | + | 0.626565i | ||||
\(867\) | 2.25332 | − | 29.0667i | 0.0765269 | − | 0.987158i | ||||
\(868\) | −3.22870 | + | 3.84782i | −0.109589 | + | 0.130604i | ||||
\(869\) | −73.6621 | − | 26.8108i | −2.49882 | − | 0.909494i | ||||
\(870\) | −19.1366 | − | 18.7614i | −0.648790 | − | 0.636071i | ||||
\(871\) | −10.8110 | + | 9.07148i | −0.366316 | + | 0.307375i | ||||
\(872\) | 6.99366 | − | 1.23317i | 0.236835 | − | 0.0417604i | ||||
\(873\) | 38.1244 | + | 30.7248i | 1.29031 | + | 1.03988i | ||||
\(874\) | 3.22128 | − | 1.54750i | 0.108962 | − | 0.0523451i | ||||
\(875\) | 8.13764i | 0.275102i | ||||||||
\(876\) | 5.69701 | + | 7.96714i | 0.192484 | + | 0.269185i | ||||
\(877\) | 14.4779 | + | 17.2541i | 0.488883 | + | 0.582628i | 0.952933 | − | 0.303181i | \(-0.0980486\pi\) |
−0.464050 | + | 0.885809i | \(0.653604\pi\) | |||||||
\(878\) | −4.55330 | − | 12.5101i | −0.153666 | − | 0.422195i | ||||
\(879\) | 18.9165 | − | 1.84384i | 0.638039 | − | 0.0621910i | ||||
\(880\) | 15.9927 | + | 13.4195i | 0.539113 | + | 0.452370i | ||||
\(881\) | 47.0165 | + | 27.1450i | 1.58403 | + | 0.914539i | 0.994263 | + | 0.106964i | \(0.0341129\pi\) |
0.589765 | + | 0.807575i | \(0.299220\pi\) | |||||||
\(882\) | −7.08387 | − | 1.10496i | −0.238526 | − | 0.0372059i | ||||
\(883\) | 4.51473 | − | 25.6043i | 0.151933 | − | 0.861653i | −0.809604 | − | 0.586977i | \(-0.800318\pi\) |
0.961537 | − | 0.274677i | \(-0.0885708\pi\) | |||||||
\(884\) | 0.283665 | − | 1.60874i | 0.00954068 | − | 0.0541079i | ||||
\(885\) | −17.5103 | + | 25.5418i | −0.588603 | + | 0.858577i | ||||
\(886\) | 6.46556 | + | 3.73289i | 0.217215 | + | 0.125409i | ||||
\(887\) | 4.19836 | + | 3.52284i | 0.140967 | + | 0.118286i | 0.710545 | − | 0.703652i | \(-0.248449\pi\) |
−0.569577 | + | 0.821938i | \(0.692893\pi\) | |||||||
\(888\) | 1.01044 | + | 10.3665i | 0.0339083 | + | 0.347877i | ||||
\(889\) | 0.905006 | + | 2.48648i | 0.0303529 | + | 0.0833939i | ||||
\(890\) | 15.7334 | + | 18.7503i | 0.527385 | + | 0.628513i | ||||
\(891\) | 21.3369 | + | 52.1060i | 0.714813 | + | 1.74562i | ||||
\(892\) | − | 11.8450i | − | 0.396599i | ||||||
\(893\) | 32.5871 | + | 8.33079i | 1.09048 | + | 0.278779i | ||||
\(894\) | 3.96864 | + | 8.29540i | 0.132731 | + | 0.277440i | ||||
\(895\) | −70.2842 | + | 12.3930i | −2.34934 | + | 0.414252i | ||||
\(896\) | −1.64480 | + | 1.38015i | −0.0549487 | + | 0.0461075i | ||||
\(897\) | 3.96252 | − | 4.04175i | 0.132305 | − | 0.134950i | ||||
\(898\) | 22.8874 | + | 8.33033i | 0.763763 | + | 0.277987i | ||||
\(899\) | 6.97224 | − | 8.30919i | 0.232537 | − | 0.277127i | ||||
\(900\) | −6.63683 | − | 17.1691i | −0.221228 | − | 0.572304i | ||||
\(901\) | 0.0832905 | − | 0.0480878i | 0.00277481 | − | 0.00160204i | ||||
\(902\) | 7.45256 | + | 1.31409i | 0.248143 | + | 0.0437543i | ||||
\(903\) | −6.23849 | − | 22.3933i | −0.207604 | − | 0.745203i | ||||
\(904\) | −1.16500 | − | 2.01784i | −0.0387474 | − | 0.0671124i | ||||
\(905\) | 30.5062 | − | 52.8383i | 1.01406 | − | 1.75640i | ||||
\(906\) | −1.10511 | + | 4.29390i | −0.0367148 | + | 0.142655i | ||||
\(907\) | 20.0545 | − | 55.0993i | 0.665899 | − | 1.82954i | 0.117971 | − | 0.993017i | \(-0.462361\pi\) |
0.547928 | − | 0.836526i | \(-0.315417\pi\) | |||||||
\(908\) | −21.6807 | + | 7.89114i | −0.719500 | + | 0.261877i | ||||
\(909\) | −17.2282 | + | 0.341120i | −0.571422 | + | 0.0113142i | ||||
\(910\) | −4.95921 | − | 28.1251i | −0.164396 | − | 0.932336i | ||||
\(911\) | 2.91388 | 0.0965412 | 0.0482706 | − | 0.998834i | \(-0.484629\pi\) | ||||
0.0482706 | + | 0.998834i | \(0.484629\pi\) | |||||||
\(912\) | 1.46990 | + | 7.40536i | 0.0486733 | + | 0.245216i | ||||
\(913\) | −57.9060 | −1.91641 | ||||||||
\(914\) | 6.04517 | + | 34.2839i | 0.199956 | + | 1.13401i | ||||
\(915\) | −40.9196 | − | 18.5902i | −1.35276 | − | 0.614574i | ||||
\(916\) | −13.1990 | + | 4.80405i | −0.436108 | + | 0.158730i | ||||
\(917\) | 4.73006 | − | 12.9957i | 0.156200 | − | 0.429157i | ||||
\(918\) | −1.27273 | − | 1.70741i | −0.0420064 | − | 0.0563529i | ||||
\(919\) | 2.94881 | − | 5.10749i | 0.0972722 | − | 0.168480i | −0.813282 | − | 0.581869i | \(-0.802322\pi\) |
0.910555 | + | 0.413389i | \(0.135655\pi\) | |||||||
\(920\) | −1.36796 | − | 2.36937i | −0.0451002 | − | 0.0781159i | ||||
\(921\) | 0.912514 | − | 0.254215i | 0.0300684 | − | 0.00837666i | ||||
\(922\) | 2.20281 | + | 0.388415i | 0.0725457 | + | 0.0127918i | ||||
\(923\) | 15.4209 | − | 8.90328i | 0.507586 | − | 0.293055i | ||||
\(924\) | 23.1966 | + | 1.79826i | 0.763113 | + | 0.0591584i | ||||
\(925\) | −23.7170 | + | 28.2648i | −0.779809 | + | 0.929340i | ||||
\(926\) | −3.45977 | − | 1.25925i | −0.113695 | − | 0.0413816i | ||||
\(927\) | 3.13747 | + | 1.07210i | 0.103048 | + | 0.0352123i | ||||
\(928\) | 3.55186 | − | 2.98036i | 0.116596 | − | 0.0978353i | ||||
\(929\) | 22.4137 | − | 3.95214i | 0.735369 | − | 0.129665i | 0.206593 | − | 0.978427i | \(-0.433762\pi\) |
0.528776 | + | 0.848762i | \(0.322651\pi\) | |||||||
\(930\) | 12.1974 | − | 5.83543i | 0.399969 | − | 0.191351i | ||||
\(931\) | 4.51085 | + | 9.38978i | 0.147837 | + | 0.307738i | ||||
\(932\) | 23.5886i | 0.772672i | ||||||||
\(933\) | 19.8328 | − | 14.1817i | 0.649298 | − | 0.464289i | ||||
\(934\) | −8.45753 | − | 10.0793i | −0.276739 | − | 0.329804i | ||||
\(935\) | 2.92637 | + | 8.04015i | 0.0957027 | + | 0.262941i | ||||
\(936\) | 6.18265 | + | 10.2352i | 0.202086 | + | 0.334549i | ||||
\(937\) | −33.5028 | − | 28.1122i | −1.09449 | − | 0.918384i | −0.0974452 | − | 0.995241i | \(-0.531067\pi\) |
−0.997042 | + | 0.0768570i | \(0.975512\pi\) | |||||||
\(938\) | 6.58377 | + | 3.80114i | 0.214968 | + | 0.124112i | ||||
\(939\) | −26.5742 | − | 18.2181i | −0.867216 | − | 0.594526i | ||||
\(940\) | 4.47142 | − | 25.3587i | 0.145842 | − | 0.827110i | ||||
\(941\) | −1.06108 | + | 6.01769i | −0.0345903 | + | 0.196171i | −0.997206 | − | 0.0746992i | \(-0.976200\pi\) |
0.962616 | + | 0.270870i | \(0.0873115\pi\) | |||||||
\(942\) | 23.9540 | + | 16.4218i | 0.780462 | + | 0.535051i | ||||
\(943\) | −0.858855 | − | 0.495860i | −0.0279682 | − | 0.0161474i | ||||
\(944\) | −4.10432 | − | 3.44394i | −0.133584 | − | 0.112091i | ||||
\(945\) | −31.1181 | − | 20.4396i | −1.01227 | − | 0.664901i | ||||
\(946\) | −13.3749 | − | 36.7472i | −0.434855 | − | 1.19475i | ||||
\(947\) | 19.9420 | + | 23.7660i | 0.648029 | + | 0.772291i | 0.985615 | − | 0.169004i | \(-0.0540550\pi\) |
−0.337586 | + | 0.941295i | \(0.609611\pi\) | |||||||
\(948\) | −17.6536 | + | 12.6235i | −0.573363 | + | 0.409991i | ||||
\(949\) | − | 22.5395i | − | 0.731662i | ||||||
\(950\) | −15.0871 | + | 22.0835i | −0.489491 | + | 0.716482i | ||||
\(951\) | −42.4857 | + | 20.3258i | −1.37769 | + | 0.659109i | ||||
\(952\) | −0.866603 | + | 0.152806i | −0.0280868 | + | 0.00495246i | ||||
\(953\) | 38.1684 | − | 32.0271i | 1.23640 | − | 1.03746i | 0.238599 | − | 0.971118i | \(-0.423312\pi\) |
0.997797 | − | 0.0663415i | \(-0.0211327\pi\) | |||||||
\(954\) | −0.227640 | + | 0.666184i | −0.00737012 | + | 0.0215685i | ||||
\(955\) | −10.8534 | − | 3.95033i | −0.351209 | − | 0.127830i | ||||
\(956\) | −17.5182 | + | 20.8774i | −0.566580 | + | 0.675224i | ||||
\(957\) | −50.0921 | − | 3.88326i | −1.61925 | − | 0.125528i | ||||
\(958\) | 29.0286 | − | 16.7597i | 0.937871 | − | 0.541480i | ||||
\(959\) | 22.7792 | + | 4.01659i | 0.735579 | + | 0.129702i | ||||
\(960\) | 5.56787 | − | 1.55114i | 0.179702 | − | 0.0500628i | ||||
\(961\) | −12.7636 | − | 22.1072i | −0.411730 | − | 0.713137i | ||||
\(962\) | 11.9845 | − | 20.7577i | 0.386395 | − | 0.669255i | ||||
\(963\) | −20.4649 | + | 4.02779i | −0.659474 | + | 0.129794i | ||||
\(964\) | −7.27512 | + | 19.9882i | −0.234316 | + | 0.643777i | ||||
\(965\) | −32.4128 | + | 11.7973i | −1.04341 | + | 0.379769i | ||||
\(966\) | −2.77598 | − | 1.26116i | −0.0893156 | − | 0.0405771i | ||||
\(967\) | −1.94625 | − | 11.0377i | −0.0625873 | − | 0.354950i | −0.999978 | − | 0.00666987i | \(-0.997877\pi\) |
0.937390 | − | 0.348280i | \(-0.113234\pi\) | |||||||
\(968\) | 28.1395 | 0.904438 | ||||||||
\(969\) | −0.995785 | + | 2.92959i | −0.0319892 | + | 0.0941119i | ||||
\(970\) | −54.4648 | −1.74876 | ||||||||
\(971\) | 8.32593 | + | 47.2187i | 0.267192 | + | 1.51532i | 0.762720 | + | 0.646729i | \(0.223863\pi\) |
−0.495528 | + | 0.868592i | \(0.665026\pi\) | |||||||
\(972\) | 15.2385 | + | 3.28471i | 0.488774 | + | 0.105357i | ||||
\(973\) | −17.0139 | + | 6.19254i | −0.545440 | + | 0.198524i | ||||
\(974\) | −6.00502 | + | 16.4987i | −0.192413 | + | 0.528651i | ||||
\(975\) | −10.5579 | + | 41.0228i | −0.338124 | + | 1.31378i | ||||
\(976\) | 3.88800 | − | 6.73422i | 0.124452 | − | 0.215557i | ||||
\(977\) | 5.39563 | + | 9.34550i | 0.172621 | + | 0.298989i | 0.939336 | − | 0.343000i | \(-0.111443\pi\) |
−0.766714 | + | 0.641989i | \(0.778110\pi\) | |||||||
\(978\) | 4.91321 | + | 17.6362i | 0.157107 | + | 0.563942i | ||||
\(979\) | 45.1913 | + | 7.96844i | 1.44432 | + | 0.254672i | ||||
\(980\) | 6.90653 | − | 3.98749i | 0.220621 | − | 0.127376i | ||||
\(981\) | −19.8716 | + | 7.68150i | −0.634453 | + | 0.245252i | ||||
\(982\) | −15.8204 | + | 18.8540i | −0.504849 | + | 0.601656i | ||||
\(983\) | −34.3549 | − | 12.5042i | −1.09575 | − | 0.398821i | −0.270003 | − | 0.962860i | \(-0.587025\pi\) |
−0.825748 | + | 0.564039i | \(0.809247\pi\) | |||||||
\(984\) | 1.46673 | − | 1.49606i | 0.0467576 | − | 0.0476926i | ||||
\(985\) | 30.3669 | − | 25.4808i | 0.967569 | − | 0.811887i | ||||
\(986\) | 1.87139 | − | 0.329977i | 0.0595972 | − | 0.0105086i | ||||
\(987\) | −12.3847 | − | 25.8869i | −0.394208 | − | 0.823988i | ||||
\(988\) | 7.16083 | − | 15.8297i | 0.227816 | − | 0.503611i | ||||
\(989\) | 5.12476i | 0.162958i | ||||||||
\(990\) | −54.8492 | − | 30.2356i | −1.74322 | − | 0.960949i | ||||
\(991\) | −3.96786 | − | 4.72871i | −0.126043 | − | 0.150213i | 0.699332 | − | 0.714797i | \(-0.253481\pi\) |
−0.825375 | + | 0.564584i | \(0.809036\pi\) | |||||||
\(992\) | 0.800119 | + | 2.19831i | 0.0254038 | + | 0.0697964i | ||||
\(993\) | 4.93252 | + | 50.6044i | 0.156529 | + | 1.60588i | ||||
\(994\) | −7.34797 | − | 6.16568i | −0.233063 | − | 0.195563i | ||||
\(995\) | 70.6194 | + | 40.7721i | 2.23879 | + | 1.29256i | ||||
\(996\) | −9.06490 | + | 13.2227i | −0.287232 | + | 0.418977i | ||||
\(997\) | 3.18227 | − | 18.0475i | 0.100783 | − | 0.571571i | −0.892038 | − | 0.451961i | \(-0.850725\pi\) |
0.992821 | − | 0.119610i | \(-0.0381643\pi\) | |||||||
\(998\) | 2.55015 | − | 14.4626i | 0.0807237 | − | 0.457807i | ||||
\(999\) | −8.97988 | − | 29.9287i | −0.284111 | − | 0.946902i |
(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 | 114.2.l.a.29.1 | ✓ | 18 | |
3.2 | odd | 2 | 114.2.l.b.29.3 | yes | 18 | ||
4.3 | odd | 2 | 912.2.cc.d.257.3 | 18 | |||
12.11 | even | 2 | 912.2.cc.c.257.1 | 18 | |||
19.2 | odd | 18 | 114.2.l.b.59.3 | yes | 18 | ||
57.2 | even | 18 | inner | 114.2.l.a.59.1 | yes | 18 | |
76.59 | even | 18 | 912.2.cc.c.401.1 | 18 | |||
228.59 | odd | 18 | 912.2.cc.d.401.3 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.l.a.29.1 | ✓ | 18 | 1.1 | even | 1 | trivial | |
114.2.l.a.59.1 | yes | 18 | 57.2 | even | 18 | inner | |
114.2.l.b.29.3 | yes | 18 | 3.2 | odd | 2 | ||
114.2.l.b.59.3 | yes | 18 | 19.2 | odd | 18 | ||
912.2.cc.c.257.1 | 18 | 12.11 | even | 2 | |||
912.2.cc.c.401.1 | 18 | 76.59 | even | 18 | |||
912.2.cc.d.257.3 | 18 | 4.3 | odd | 2 | |||
912.2.cc.d.401.3 | 18 | 228.59 | odd | 18 |