Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 39.1 | ||
Character | \(\chi\) | \(=\) | 49.39 |
Dual form | 49.2.g.a.44.1 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{17}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.25512 | − | 0.339905i | −1.59461 | − | 0.240349i | −0.709149 | − | 0.705059i | \(-0.750920\pi\) |
−0.885463 | + | 0.464710i | \(0.846159\pi\) | |||||||
\(3\) | 0.489949 | − | 0.334042i | 0.282872 | − | 0.192859i | −0.413569 | − | 0.910473i | \(-0.635718\pi\) |
0.696441 | + | 0.717614i | \(0.254766\pi\) | |||||||
\(4\) | 3.05889 | + | 0.943543i | 1.52945 | + | 0.471772i | ||||
\(5\) | −0.260520 | − | 3.47640i | −0.116508 | − | 1.55469i | −0.682873 | − | 0.730537i | \(-0.739270\pi\) |
0.566365 | − | 0.824155i | \(-0.308349\pi\) | |||||||
\(6\) | −1.21844 | + | 0.586769i | −0.497425 | + | 0.239547i | ||||
\(7\) | 1.30029 | − | 2.30418i | 0.491465 | − | 0.870897i | ||||
\(8\) | −2.46797 | − | 1.18851i | −0.872559 | − | 0.420202i | ||||
\(9\) | −0.967557 | + | 2.46529i | −0.322519 | + | 0.821765i | ||||
\(10\) | −0.594140 | + | 7.92825i | −0.187884 | + | 2.50713i | ||||
\(11\) | 0.728940 | + | 1.85731i | 0.219784 | + | 0.559999i | 0.997656 | − | 0.0684223i | \(-0.0217965\pi\) |
−0.777873 | + | 0.628422i | \(0.783701\pi\) | |||||||
\(12\) | 1.81388 | − | 0.559509i | 0.523623 | − | 0.161516i | ||||
\(13\) | −0.725250 | + | 0.909435i | −0.201148 | + | 0.252232i | −0.872167 | − | 0.489209i | \(-0.837286\pi\) |
0.671019 | + | 0.741441i | \(0.265857\pi\) | |||||||
\(14\) | −3.71552 | + | 4.75422i | −0.993015 | + | 1.27062i | ||||
\(15\) | −1.28890 | − | 1.61623i | −0.332793 | − | 0.417310i | ||||
\(16\) | −0.128171 | − | 0.0873854i | −0.0320427 | − | 0.0218464i | ||||
\(17\) | 0.130225 | + | 0.120831i | 0.0315842 | + | 0.0293059i | 0.695807 | − | 0.718229i | \(-0.255047\pi\) |
−0.664223 | + | 0.747535i | \(0.731237\pi\) | |||||||
\(18\) | 3.01992 | − | 5.23066i | 0.711803 | − | 1.23288i | ||||
\(19\) | 2.36688 | + | 4.09956i | 0.543000 | + | 0.940503i | 0.998730 | + | 0.0503853i | \(0.0160449\pi\) |
−0.455730 | + | 0.890118i | \(0.650622\pi\) | |||||||
\(20\) | 2.48323 | − | 10.8797i | 0.555267 | − | 2.43278i | ||||
\(21\) | −0.132613 | − | 1.56328i | −0.0289386 | − | 0.341136i | ||||
\(22\) | −1.01254 | − | 4.43622i | −0.215874 | − | 0.945806i | ||||
\(23\) | 2.75683 | − | 2.55797i | 0.574839 | − | 0.533373i | −0.338291 | − | 0.941042i | \(-0.609849\pi\) |
0.913130 | + | 0.407669i | \(0.133658\pi\) | |||||||
\(24\) | −1.60619 | + | 0.242094i | −0.327863 | + | 0.0494173i | ||||
\(25\) | −7.07331 | + | 1.06613i | −1.41466 | + | 0.213226i | ||||
\(26\) | 1.94465 | − | 1.80437i | 0.381377 | − | 0.353866i | ||||
\(27\) | 0.745314 | + | 3.26543i | 0.143436 | + | 0.628433i | ||||
\(28\) | 6.15155 | − | 5.82135i | 1.16253 | − | 1.10013i | ||||
\(29\) | −2.03304 | + | 8.90731i | −0.377525 | + | 1.65405i | 0.327490 | + | 0.944854i | \(0.393797\pi\) |
−0.705016 | + | 0.709192i | \(0.749060\pi\) | |||||||
\(30\) | 2.35727 | + | 4.08291i | 0.430376 | + | 0.745434i | ||||
\(31\) | 4.06757 | − | 7.04524i | 0.730557 | − | 1.26536i | −0.226089 | − | 0.974107i | \(-0.572594\pi\) |
0.956645 | − | 0.291255i | \(-0.0940728\pi\) | |||||||
\(32\) | 4.27535 | + | 3.96694i | 0.755781 | + | 0.701263i | ||||
\(33\) | 0.977562 | + | 0.666490i | 0.170172 | + | 0.116021i | ||||
\(34\) | −0.252602 | − | 0.316753i | −0.0433209 | − | 0.0543227i | ||||
\(35\) | −8.34899 | − | 3.92006i | −1.41124 | − | 0.662610i | ||||
\(36\) | −5.28576 | + | 6.62814i | −0.880960 | + | 1.10469i | ||||
\(37\) | −4.87884 | + | 1.50492i | −0.802077 | + | 0.247408i | −0.668579 | − | 0.743641i | \(-0.733097\pi\) |
−0.133498 | + | 0.991049i | \(0.542621\pi\) | |||||||
\(38\) | −3.94414 | − | 10.0495i | −0.639825 | − | 1.63025i | ||||
\(39\) | −0.0515465 | + | 0.687841i | −0.00825405 | + | 0.110143i | ||||
\(40\) | −3.48878 | + | 8.88927i | −0.551625 | + | 1.40552i | ||||
\(41\) | 4.57628 | + | 2.20382i | 0.714695 | + | 0.344179i | 0.755644 | − | 0.654982i | \(-0.227324\pi\) |
−0.0409495 | + | 0.999161i | \(0.513038\pi\) | |||||||
\(42\) | −0.232309 | + | 3.57047i | −0.0358460 | + | 0.550935i | ||||
\(43\) | 1.63561 | − | 0.787668i | 0.249428 | − | 0.120118i | −0.304993 | − | 0.952355i | \(-0.598654\pi\) |
0.554421 | + | 0.832236i | \(0.312940\pi\) | |||||||
\(44\) | 0.477297 | + | 6.36909i | 0.0719553 | + | 0.960176i | ||||
\(45\) | 8.82241 | + | 2.72135i | 1.31517 | + | 0.405675i | ||||
\(46\) | −7.08646 | + | 4.83146i | −1.04484 | + | 0.712361i | ||||
\(47\) | −1.31583 | − | 0.198330i | −0.191934 | − | 0.0289294i | 0.0523717 | − | 0.998628i | \(-0.483322\pi\) |
−0.244306 | + | 0.969698i | \(0.578560\pi\) | |||||||
\(48\) | −0.0919876 | −0.0132773 | ||||||||
\(49\) | −3.61847 | − | 5.99222i | −0.516924 | − | 0.856031i | ||||
\(50\) | 16.3136 | 2.30708 | ||||||||
\(51\) | 0.104166 | + | 0.0157006i | 0.0145862 | + | 0.00219852i | ||||
\(52\) | −3.07655 | + | 2.09756i | −0.426641 | + | 0.290879i | ||||
\(53\) | −7.14941 | − | 2.20530i | −0.982047 | − | 0.302922i | −0.238160 | − | 0.971226i | \(-0.576544\pi\) |
−0.743888 | + | 0.668305i | \(0.767020\pi\) | |||||||
\(54\) | −0.570837 | − | 7.61729i | −0.0776810 | − | 1.03658i | ||||
\(55\) | 6.26684 | − | 3.01795i | 0.845020 | − | 0.406940i | ||||
\(56\) | −5.94763 | + | 4.14122i | −0.794785 | + | 0.553394i | ||||
\(57\) | 2.52908 | + | 1.21794i | 0.334984 | + | 0.161320i | ||||
\(58\) | 7.61238 | − | 19.3960i | 0.999554 | − | 2.54682i | ||||
\(59\) | 0.0395874 | − | 0.528257i | 0.00515384 | − | 0.0687732i | −0.994034 | − | 0.109072i | \(-0.965212\pi\) |
0.999188 | + | 0.0402990i | \(0.0128311\pi\) | |||||||
\(60\) | −2.41763 | − | 6.16002i | −0.312115 | − | 0.795255i | ||||
\(61\) | −3.38714 | + | 1.04479i | −0.433679 | + | 0.133772i | −0.503905 | − | 0.863759i | \(-0.668104\pi\) |
0.0702265 | + | 0.997531i | \(0.477628\pi\) | |||||||
\(62\) | −11.5676 | + | 14.5053i | −1.46908 | + | 1.84217i | ||||
\(63\) | 4.42237 | + | 5.43503i | 0.557166 | + | 0.684749i | ||||
\(64\) | −8.09960 | − | 10.1566i | −1.01245 | − | 1.26957i | ||||
\(65\) | 3.35050 | + | 2.28433i | 0.415578 | + | 0.283336i | ||||
\(66\) | −1.97798 | − | 1.83529i | −0.243472 | − | 0.225909i | ||||
\(67\) | 0.223922 | − | 0.387845i | 0.0273565 | − | 0.0473828i | −0.852023 | − | 0.523504i | \(-0.824624\pi\) |
0.879380 | + | 0.476121i | \(0.157958\pi\) | |||||||
\(68\) | 0.284335 | + | 0.492483i | 0.0344807 | + | 0.0597223i | ||||
\(69\) | 0.496241 | − | 2.17417i | 0.0597403 | − | 0.261740i | ||||
\(70\) | 17.4955 | + | 11.6781i | 2.09112 | + | 1.39580i | ||||
\(71\) | −0.323654 | − | 1.41802i | −0.0384107 | − | 0.168288i | 0.952085 | − | 0.305835i | \(-0.0989355\pi\) |
−0.990495 | + | 0.137547i | \(0.956078\pi\) | |||||||
\(72\) | 5.31793 | − | 4.93432i | 0.626724 | − | 0.581515i | ||||
\(73\) | −13.2396 | + | 1.99555i | −1.54958 | + | 0.233561i | −0.867394 | − | 0.497621i | \(-0.834207\pi\) |
−0.682182 | + | 0.731182i | \(0.738969\pi\) | |||||||
\(74\) | 11.5139 | − | 1.73544i | 1.33846 | − | 0.201741i | ||||
\(75\) | −3.10943 | + | 2.88513i | −0.359046 | + | 0.333146i | ||||
\(76\) | 3.37192 | + | 14.7734i | 0.386786 | + | 1.69462i | ||||
\(77\) | 5.22740 | + | 0.735441i | 0.595718 | + | 0.0838112i | ||||
\(78\) | 0.350044 | − | 1.53364i | 0.0396347 | − | 0.173651i | ||||
\(79\) | 1.42892 | + | 2.47497i | 0.160766 | + | 0.278455i | 0.935144 | − | 0.354269i | \(-0.115270\pi\) |
−0.774377 | + | 0.632724i | \(0.781937\pi\) | |||||||
\(80\) | −0.270395 | + | 0.468338i | −0.0302311 | + | 0.0523618i | ||||
\(81\) | −4.36821 | − | 4.05311i | −0.485357 | − | 0.450345i | ||||
\(82\) | −9.57097 | − | 6.52538i | −1.05694 | − | 0.720608i | ||||
\(83\) | −3.35793 | − | 4.21072i | −0.368581 | − | 0.462186i | 0.562607 | − | 0.826724i | \(-0.309798\pi\) |
−0.931188 | + | 0.364538i | \(0.881227\pi\) | |||||||
\(84\) | 1.06938 | − | 4.90704i | 0.116678 | − | 0.535402i | ||||
\(85\) | 0.386131 | − | 0.484193i | 0.0418818 | − | 0.0525181i | ||||
\(86\) | −3.95623 | + | 1.22034i | −0.426611 | + | 0.131592i | ||||
\(87\) | 1.97933 | + | 5.04325i | 0.212206 | + | 0.540693i | ||||
\(88\) | 0.408431 | − | 5.45013i | 0.0435389 | − | 0.580986i | ||||
\(89\) | 2.62160 | − | 6.67972i | 0.277889 | − | 0.708049i | −0.721981 | − | 0.691913i | \(-0.756768\pi\) |
0.999870 | − | 0.0161364i | \(-0.00513658\pi\) | |||||||
\(90\) | −18.9706 | − | 9.13576i | −1.99968 | − | 0.962994i | ||||
\(91\) | 1.15246 | + | 2.85364i | 0.120811 | + | 0.299143i | ||||
\(92\) | 10.8464 | − | 5.22335i | 1.13082 | − | 0.544572i | ||||
\(93\) | −0.360501 | − | 4.81055i | −0.0373822 | − | 0.498831i | ||||
\(94\) | 2.89995 | + | 0.894516i | 0.299107 | + | 0.0922623i | ||||
\(95\) | 13.6351 | − | 9.29624i | 1.39893 | − | 0.953774i | ||||
\(96\) | 3.41983 | + | 0.515456i | 0.349035 | + | 0.0526085i | ||||
\(97\) | 1.58525 | 0.160958 | 0.0804788 | − | 0.996756i | \(-0.474355\pi\) | ||||
0.0804788 | + | 0.996756i | \(0.474355\pi\) | |||||||
\(98\) | 6.12330 | + | 14.7431i | 0.618547 | + | 1.48928i | ||||
\(99\) | −5.28410 | −0.531072 | ||||||||
\(100\) | −22.6424 | − | 3.41280i | −2.26424 | − | 0.341280i | ||||
\(101\) | 9.32866 | − | 6.36017i | 0.928237 | − | 0.632861i | −0.00193016 | − | 0.999998i | \(-0.500614\pi\) |
0.930167 | + | 0.367137i | \(0.119662\pi\) | |||||||
\(102\) | −0.229571 | − | 0.0708133i | −0.0227309 | − | 0.00701156i | ||||
\(103\) | 1.35813 | + | 18.1229i | 0.133820 | + | 1.78571i | 0.511014 | + | 0.859572i | \(0.329270\pi\) |
−0.377194 | + | 0.926134i | \(0.623111\pi\) | |||||||
\(104\) | 2.87077 | − | 1.38249i | 0.281502 | − | 0.135564i | ||||
\(105\) | −5.40004 | + | 0.868283i | −0.526990 | + | 0.0847357i | ||||
\(106\) | 15.3732 | + | 7.40334i | 1.49318 | + | 0.719076i | ||||
\(107\) | −2.99338 | + | 7.62701i | −0.289381 | + | 0.737331i | 0.710068 | + | 0.704134i | \(0.248664\pi\) |
−0.999449 | + | 0.0331978i | \(0.989431\pi\) | |||||||
\(108\) | −0.801243 | + | 10.6918i | −0.0770996 | + | 1.02882i | ||||
\(109\) | 2.69280 | + | 6.86113i | 0.257923 | + | 0.657177i | 0.999912 | − | 0.0132345i | \(-0.00421280\pi\) |
−0.741989 | + | 0.670412i | \(0.766118\pi\) | |||||||
\(110\) | −15.1583 | + | 4.67571i | −1.44529 | + | 0.445812i | ||||
\(111\) | −1.88768 | + | 2.36707i | −0.179170 | + | 0.224673i | ||||
\(112\) | −0.368011 | + | 0.181702i | −0.0347738 | + | 0.0171692i | ||||
\(113\) | −2.76965 | − | 3.47303i | −0.260547 | − | 0.326715i | 0.634302 | − | 0.773086i | \(-0.281288\pi\) |
−0.894848 | + | 0.446370i | \(0.852716\pi\) | |||||||
\(114\) | −5.28939 | − | 3.60625i | −0.495397 | − | 0.337756i | ||||
\(115\) | −9.61072 | − | 8.91744i | −0.896204 | − | 0.831556i | ||||
\(116\) | −14.6233 | + | 25.3282i | −1.35774 | + | 2.35167i | ||||
\(117\) | −1.54030 | − | 2.66788i | −0.142401 | − | 0.246646i | ||||
\(118\) | −0.268832 | + | 1.17783i | −0.0247479 | + | 0.108428i | ||||
\(119\) | 0.447748 | − | 0.142946i | 0.0410450 | − | 0.0131038i | ||||
\(120\) | 1.26006 | + | 5.52069i | 0.115027 | + | 0.503968i | ||||
\(121\) | 5.14533 | − | 4.77417i | 0.467757 | − | 0.434015i | ||||
\(122\) | 7.99354 | − | 1.20483i | 0.723701 | − | 0.109080i | ||||
\(123\) | 2.97831 | − | 0.448908i | 0.268545 | − | 0.0404767i | ||||
\(124\) | 19.0897 | − | 17.7127i | 1.71431 | − | 1.59065i | ||||
\(125\) | 1.67033 | + | 7.31818i | 0.149399 | + | 0.654558i | ||||
\(126\) | −8.12558 | − | 13.7598i | −0.723884 | − | 1.22582i | ||||
\(127\) | 0.488666 | − | 2.14098i | 0.0433621 | − | 0.189982i | −0.948608 | − | 0.316453i | \(-0.897508\pi\) |
0.991970 | + | 0.126471i | \(0.0403652\pi\) | |||||||
\(128\) | 8.98106 | + | 15.5557i | 0.793821 | + | 1.37494i | ||||
\(129\) | 0.538252 | − | 0.932280i | 0.0473905 | − | 0.0820827i | ||||
\(130\) | −6.77932 | − | 6.29029i | −0.594586 | − | 0.551695i | ||||
\(131\) | −12.1184 | − | 8.26221i | −1.05879 | − | 0.721873i | −0.0968988 | − | 0.995294i | \(-0.530892\pi\) |
−0.961894 | + | 0.273421i | \(0.911845\pi\) | |||||||
\(132\) | 2.36139 | + | 2.96109i | 0.205533 | + | 0.257730i | ||||
\(133\) | 12.5238 | − | 0.123082i | 1.08595 | − | 0.0106725i | ||||
\(134\) | −0.636802 | + | 0.798525i | −0.0550113 | + | 0.0689820i | ||||
\(135\) | 11.1578 | − | 3.44172i | 0.960308 | − | 0.296216i | ||||
\(136\) | −0.177782 | − | 0.452982i | −0.0152447 | − | 0.0388429i | ||||
\(137\) | −0.196715 | + | 2.62497i | −0.0168065 | + | 0.224267i | 0.982476 | + | 0.186389i | \(0.0596786\pi\) |
−0.999282 | + | 0.0378772i | \(0.987940\pi\) | |||||||
\(138\) | −1.85809 | + | 4.73435i | −0.158171 | + | 0.403014i | ||||
\(139\) | −5.27200 | − | 2.53886i | −0.447165 | − | 0.215343i | 0.196729 | − | 0.980458i | \(-0.436968\pi\) |
−0.643894 | + | 0.765115i | \(0.722682\pi\) | |||||||
\(140\) | −21.8399 | − | 19.8687i | −1.84581 | − | 1.67921i | ||||
\(141\) | −0.710942 | + | 0.342372i | −0.0598722 | + | 0.0288329i | ||||
\(142\) | 0.247887 | + | 3.30782i | 0.0208022 | + | 0.277586i | ||||
\(143\) | −2.21776 | − | 0.684089i | −0.185459 | − | 0.0572064i | ||||
\(144\) | 0.339443 | − | 0.231429i | 0.0282869 | − | 0.0192857i | ||||
\(145\) | 31.4950 | + | 4.74711i | 2.61552 | + | 0.394226i | ||||
\(146\) | 30.5352 | 2.52711 | ||||||||
\(147\) | −3.77452 | − | 1.72716i | −0.311317 | − | 0.142454i | ||||
\(148\) | −16.3438 | −1.34345 | ||||||||
\(149\) | −2.38517 | − | 0.359507i | −0.195401 | − | 0.0294519i | 0.0506126 | − | 0.998718i | \(-0.483883\pi\) |
−0.246013 | + | 0.969266i | \(0.579121\pi\) | |||||||
\(150\) | 7.99282 | − | 5.44941i | 0.652611 | − | 0.444942i | ||||
\(151\) | −3.32118 | − | 1.02445i | −0.270274 | − | 0.0833684i | 0.156656 | − | 0.987653i | \(-0.449929\pi\) |
−0.426930 | + | 0.904285i | \(0.640405\pi\) | |||||||
\(152\) | −0.969018 | − | 12.9306i | −0.0785977 | − | 1.04881i | ||||
\(153\) | −0.423885 | + | 0.204132i | −0.0342690 | + | 0.0165031i | ||||
\(154\) | −11.5384 | − | 3.43533i | −0.929795 | − | 0.276827i | ||||
\(155\) | −25.5517 | − | 12.3051i | −2.05236 | − | 0.988366i | ||||
\(156\) | −0.806683 | + | 2.05539i | −0.0645863 | + | 0.164563i | ||||
\(157\) | 0.575869 | − | 7.68444i | 0.0459594 | − | 0.613285i | −0.925907 | − | 0.377752i | \(-0.876697\pi\) |
0.971866 | − | 0.235533i | \(-0.0756837\pi\) | |||||||
\(158\) | −2.38114 | − | 6.06704i | −0.189433 | − | 0.482668i | ||||
\(159\) | −4.23951 | + | 1.30772i | −0.336215 | + | 0.103709i | ||||
\(160\) | 12.6768 | − | 15.8963i | 1.00219 | − | 1.25671i | ||||
\(161\) | −2.30932 | − | 9.67834i | −0.182000 | − | 0.762760i | ||||
\(162\) | 8.47317 | + | 10.6250i | 0.665715 | + | 0.834781i | ||||
\(163\) | 10.6440 | + | 7.25693i | 0.833699 | + | 0.568406i | 0.903222 | − | 0.429174i | \(-0.141195\pi\) |
−0.0695229 | + | 0.997580i | \(0.522148\pi\) | |||||||
\(164\) | 11.9189 | + | 11.0592i | 0.930713 | + | 0.863575i | ||||
\(165\) | 2.06231 | − | 3.57203i | 0.160551 | − | 0.278082i | ||||
\(166\) | 6.14131 | + | 10.6371i | 0.476658 | + | 0.825596i | ||||
\(167\) | 4.00629 | − | 17.5527i | 0.310016 | − | 1.35827i | −0.544464 | − | 0.838784i | \(-0.683267\pi\) |
0.854480 | − | 0.519484i | \(-0.173876\pi\) | |||||||
\(168\) | −1.53069 | + | 4.01575i | −0.118096 | + | 0.309822i | ||||
\(169\) | 2.59169 | + | 11.3549i | 0.199361 | + | 0.873456i | ||||
\(170\) | −1.03535 | + | 0.960666i | −0.0794079 | + | 0.0736797i | ||||
\(171\) | −12.3967 | + | 1.86850i | −0.948000 | + | 0.142888i | ||||
\(172\) | 5.74635 | − | 0.866123i | 0.438155 | − | 0.0660413i | ||||
\(173\) | −12.3083 | + | 11.4204i | −0.935781 | + | 0.868278i | −0.991492 | − | 0.130169i | \(-0.958448\pi\) |
0.0557110 | + | 0.998447i | \(0.482257\pi\) | |||||||
\(174\) | −2.74940 | − | 12.0459i | −0.208432 | − | 0.913199i | ||||
\(175\) | −6.74083 | + | 17.6844i | −0.509559 | + | 1.33682i | ||||
\(176\) | 0.0688728 | − | 0.301751i | 0.00519148 | − | 0.0227454i | ||||
\(177\) | −0.157064 | − | 0.272043i | −0.0118057 | − | 0.0204480i | ||||
\(178\) | −8.18249 | + | 14.1725i | −0.613304 | + | 1.06227i | ||||
\(179\) | −1.01859 | − | 0.945113i | −0.0761330 | − | 0.0706411i | 0.641189 | − | 0.767383i | \(-0.278442\pi\) |
−0.717322 | + | 0.696742i | \(0.754632\pi\) | |||||||
\(180\) | 24.4191 | + | 16.6486i | 1.82009 | + | 1.24092i | ||||
\(181\) | −4.04682 | − | 5.07455i | −0.300798 | − | 0.377189i | 0.608345 | − | 0.793673i | \(-0.291834\pi\) |
−0.909143 | + | 0.416484i | \(0.863262\pi\) | |||||||
\(182\) | −1.62897 | − | 6.82703i | −0.120748 | − | 0.506053i | ||||
\(183\) | −1.31052 | + | 1.64334i | −0.0968766 | + | 0.121479i | ||||
\(184\) | −9.84395 | + | 3.03646i | −0.725705 | + | 0.223850i | ||||
\(185\) | 6.50275 | + | 16.5687i | 0.478091 | + | 1.21816i | ||||
\(186\) | −0.822156 | + | 10.9709i | −0.0602834 | + | 0.804426i | ||||
\(187\) | −0.129495 | + | 0.329947i | −0.00946958 | + | 0.0241281i | ||||
\(188\) | −3.83786 | − | 1.84822i | −0.279905 | − | 0.134795i | ||||
\(189\) | 8.49327 | + | 2.52869i | 0.617794 | + | 0.183935i | ||||
\(190\) | −33.9086 | + | 16.3295i | −2.45999 | + | 1.18467i | ||||
\(191\) | 1.20868 | + | 16.1287i | 0.0874570 | + | 1.16703i | 0.852384 | + | 0.522916i | \(0.175156\pi\) |
−0.764927 | + | 0.644116i | \(0.777225\pi\) | |||||||
\(192\) | −7.36112 | − | 2.27060i | −0.531243 | − | 0.163867i | ||||
\(193\) | 0.711347 | − | 0.484988i | 0.0512039 | − | 0.0349102i | −0.537448 | − | 0.843297i | \(-0.680611\pi\) |
0.588651 | + | 0.808387i | \(0.299659\pi\) | |||||||
\(194\) | −3.57493 | − | 0.538834i | −0.256665 | − | 0.0386860i | ||||
\(195\) | 2.40464 | 0.172200 | ||||||||
\(196\) | −5.41459 | − | 21.7437i | −0.386756 | − | 1.55312i | ||||
\(197\) | −3.46167 | −0.246633 | −0.123317 | − | 0.992367i | \(-0.539353\pi\) | ||||
−0.123317 | + | 0.992367i | \(0.539353\pi\) | |||||||
\(198\) | 11.9163 | + | 1.79609i | 0.846854 | + | 0.127643i | ||||
\(199\) | −17.3725 | + | 11.8444i | −1.23150 | + | 0.839626i | −0.991367 | − | 0.131113i | \(-0.958145\pi\) |
−0.240137 | + | 0.970739i | \(0.577193\pi\) | |||||||
\(200\) | 18.7238 | + | 5.77553i | 1.32397 | + | 0.408392i | ||||
\(201\) | −0.0198458 | − | 0.264824i | −0.00139981 | − | 0.0186792i | ||||
\(202\) | −23.1991 | + | 11.1721i | −1.63228 | + | 0.786067i | ||||
\(203\) | 17.8805 | + | 16.2666i | 1.25496 | + | 1.14169i | ||||
\(204\) | 0.303820 | + | 0.146312i | 0.0212716 | + | 0.0102439i | ||||
\(205\) | 6.46914 | − | 16.4831i | 0.451824 | − | 1.15123i | ||||
\(206\) | 3.09734 | − | 41.3311i | 0.215802 | − | 2.87967i | ||||
\(207\) | 3.63875 | + | 9.27138i | 0.252911 | + | 0.644406i | ||||
\(208\) | 0.172427 | − | 0.0531868i | 0.0119557 | − | 0.00368784i | ||||
\(209\) | −5.88883 | + | 7.38436i | −0.407339 | + | 0.510787i | ||||
\(210\) | 12.4729 | − | 0.122582i | 0.860711 | − | 0.00845895i | ||||
\(211\) | 13.2683 | + | 16.6380i | 0.913431 | + | 1.14541i | 0.988948 | + | 0.148261i | \(0.0473676\pi\) |
−0.0755177 | + | 0.997144i | \(0.524061\pi\) | |||||||
\(212\) | −19.7885 | − | 13.4916i | −1.35908 | − | 0.926604i | ||||
\(213\) | −0.632253 | − | 0.586645i | −0.0433212 | − | 0.0401962i | ||||
\(214\) | 9.34290 | − | 16.1824i | 0.638668 | − | 1.10620i | ||||
\(215\) | −3.16436 | − | 5.48083i | −0.215807 | − | 0.373789i | ||||
\(216\) | 2.04159 | − | 8.94480i | 0.138913 | − | 0.608617i | ||||
\(217\) | −10.9444 | − | 18.5333i | −0.742957 | − | 1.25812i | ||||
\(218\) | −3.74045 | − | 16.3880i | −0.253335 | − | 1.10993i | ||||
\(219\) | −5.82013 | + | 5.40029i | −0.393288 | + | 0.364918i | ||||
\(220\) | 22.0171 | − | 3.31855i | 1.48439 | − | 0.223737i | ||||
\(221\) | −0.204334 | + | 0.0307984i | −0.0137450 | + | 0.00207172i | ||||
\(222\) | 5.06152 | − | 4.69641i | 0.339707 | − | 0.315202i | ||||
\(223\) | −4.06485 | − | 17.8093i | −0.272202 | − | 1.19260i | −0.907407 | − | 0.420253i | \(-0.861941\pi\) |
0.635205 | − | 0.772344i | \(-0.280916\pi\) | |||||||
\(224\) | 14.6997 | − | 4.69296i | 0.982168 | − | 0.313562i | ||||
\(225\) | 4.21550 | − | 18.4693i | 0.281034 | − | 1.23129i | ||||
\(226\) | 5.06540 | + | 8.77352i | 0.336945 | + | 0.583606i | ||||
\(227\) | −6.88269 | + | 11.9212i | −0.456820 | + | 0.791236i | −0.998791 | − | 0.0491614i | \(-0.984345\pi\) |
0.541970 | + | 0.840398i | \(0.317678\pi\) | |||||||
\(228\) | 6.58699 | + | 6.11184i | 0.436234 | + | 0.404766i | ||||
\(229\) | −19.1061 | − | 13.0263i | −1.26257 | − | 0.860804i | −0.267851 | − | 0.963460i | \(-0.586314\pi\) |
−0.994717 | + | 0.102656i | \(0.967266\pi\) | |||||||
\(230\) | 18.6423 | + | 23.3766i | 1.22923 | + | 1.54141i | ||||
\(231\) | 2.80683 | − | 1.38584i | 0.184676 | − | 0.0911817i | ||||
\(232\) | 15.6039 | − | 19.5667i | 1.02445 | − | 1.28462i | ||||
\(233\) | −15.0370 | + | 4.63831i | −0.985108 | + | 0.303866i | −0.745135 | − | 0.666914i | \(-0.767615\pi\) |
−0.239973 | + | 0.970779i | \(0.577139\pi\) | |||||||
\(234\) | 2.56674 | + | 6.53996i | 0.167793 | + | 0.427530i | ||||
\(235\) | −0.346673 | + | 4.62603i | −0.0226144 | + | 0.301769i | ||||
\(236\) | 0.619527 | − | 1.57853i | 0.0403278 | − | 0.102753i | ||||
\(237\) | 1.52684 | + | 0.735288i | 0.0991790 | + | 0.0477621i | ||||
\(238\) | −1.05831 | + | 0.170168i | −0.0686003 | + | 0.0110304i | ||||
\(239\) | 23.5265 | − | 11.3298i | 1.52180 | − | 0.732862i | 0.528558 | − | 0.848897i | \(-0.322733\pi\) |
0.993245 | + | 0.116036i | \(0.0370188\pi\) | |||||||
\(240\) | 0.0239646 | + | 0.319785i | 0.00154691 | + | 0.0206421i | ||||
\(241\) | 14.7155 | + | 4.53912i | 0.947907 | + | 0.292391i | 0.729898 | − | 0.683556i | \(-0.239568\pi\) |
0.218009 | + | 0.975947i | \(0.430044\pi\) | |||||||
\(242\) | −13.2261 | + | 9.01741i | −0.850207 | + | 0.579661i | ||||
\(243\) | −13.4301 | − | 2.02426i | −0.861542 | − | 0.129857i | ||||
\(244\) | −11.3467 | −0.726398 | ||||||||
\(245\) | −19.8886 | + | 14.1403i | −1.27064 | + | 0.903392i | ||||
\(246\) | −6.86904 | −0.437954 | ||||||||
\(247\) | −5.44486 | − | 0.820681i | −0.346448 | − | 0.0522187i | ||||
\(248\) | −18.4120 | + | 12.5531i | −1.16916 | + | 0.797121i | ||||
\(249\) | −3.05177 | − | 0.941347i | −0.193398 | − | 0.0596555i | ||||
\(250\) | −1.27931 | − | 17.0711i | −0.0809104 | − | 1.07967i | ||||
\(251\) | 0.552270 | − | 0.265959i | 0.0348590 | − | 0.0167872i | −0.416373 | − | 0.909194i | \(-0.636699\pi\) |
0.451232 | + | 0.892407i | \(0.350985\pi\) | |||||||
\(252\) | 8.39935 | + | 20.7979i | 0.529110 | + | 1.31014i | ||||
\(253\) | 6.76050 | + | 3.25568i | 0.425029 | + | 0.204683i | ||||
\(254\) | −1.82973 | + | 4.66208i | −0.114808 | + | 0.292525i | ||||
\(255\) | 0.0274439 | − | 0.366214i | 0.00171861 | − | 0.0229332i | ||||
\(256\) | −5.47383 | − | 13.9471i | −0.342114 | − | 0.871693i | ||||
\(257\) | 20.7324 | − | 6.39510i | 1.29325 | − | 0.398916i | 0.429607 | − | 0.903016i | \(-0.358652\pi\) |
0.863645 | + | 0.504100i | \(0.168176\pi\) | |||||||
\(258\) | −1.53071 | + | 1.91945i | −0.0952979 | + | 0.119500i | ||||
\(259\) | −2.87632 | + | 13.1986i | −0.178726 | + | 0.820119i | ||||
\(260\) | 8.09344 | + | 10.1489i | 0.501934 | + | 0.629405i | ||||
\(261\) | −19.9921 | − | 13.6304i | −1.23748 | − | 0.843698i | ||||
\(262\) | 24.5202 | + | 22.7514i | 1.51486 | + | 1.40559i | ||||
\(263\) | 12.7093 | − | 22.0132i | 0.783691 | − | 1.35739i | −0.146087 | − | 0.989272i | \(-0.546668\pi\) |
0.929778 | − | 0.368121i | \(-0.119999\pi\) | |||||||
\(264\) | −1.62046 | − | 2.80672i | −0.0997325 | − | 0.172742i | ||||
\(265\) | −5.80394 | + | 25.4287i | −0.356533 | + | 1.56207i | ||||
\(266\) | −28.2844 | − | 3.97932i | −1.73423 | − | 0.243988i | ||||
\(267\) | −0.946857 | − | 4.14845i | −0.0579467 | − | 0.253881i | ||||
\(268\) | 1.05090 | − | 0.975094i | 0.0641941 | − | 0.0595634i | ||||
\(269\) | 26.5000 | − | 3.99423i | 1.61573 | − | 0.243533i | 0.721921 | − | 0.691975i | \(-0.243259\pi\) |
0.893812 | + | 0.448443i | \(0.148021\pi\) | |||||||
\(270\) | −26.3320 | + | 3.96891i | −1.60251 | + | 0.241540i | ||||
\(271\) | 10.3421 | − | 9.59611i | 0.628241 | − | 0.582922i | −0.300441 | − | 0.953800i | \(-0.597134\pi\) |
0.928682 | + | 0.370878i | \(0.120943\pi\) | |||||||
\(272\) | −0.00613218 | − | 0.0268668i | −0.000371818 | − | 0.00162904i | ||||
\(273\) | 1.51788 | + | 1.01317i | 0.0918664 | + | 0.0613197i | ||||
\(274\) | 1.33586 | − | 5.85277i | 0.0807020 | − | 0.353579i | ||||
\(275\) | −7.13615 | − | 12.3602i | −0.430326 | − | 0.745346i | ||||
\(276\) | 3.56937 | − | 6.18233i | 0.214851 | − | 0.372133i | ||||
\(277\) | 14.2519 | + | 13.2239i | 0.856315 | + | 0.794544i | 0.980253 | − | 0.197746i | \(-0.0633620\pi\) |
−0.123938 | + | 0.992290i | \(0.539553\pi\) | |||||||
\(278\) | 11.0260 | + | 7.51741i | 0.661297 | + | 0.450864i | ||||
\(279\) | 13.4330 | + | 16.8444i | 0.804211 | + | 1.00845i | ||||
\(280\) | 15.9460 | + | 19.5974i | 0.952956 | + | 1.17117i | ||||
\(281\) | 13.2908 | − | 16.6661i | 0.792862 | − | 0.994218i | −0.207012 | − | 0.978338i | \(-0.566374\pi\) |
0.999874 | − | 0.0158791i | \(-0.00505470\pi\) | |||||||
\(282\) | 1.71964 | − | 0.530437i | 0.102403 | − | 0.0315871i | ||||
\(283\) | −0.919985 | − | 2.34408i | −0.0546874 | − | 0.139341i | 0.900919 | − | 0.433987i | \(-0.142894\pi\) |
−0.955607 | + | 0.294646i | \(0.904798\pi\) | |||||||
\(284\) | 0.347941 | − | 4.64296i | 0.0206465 | − | 0.275509i | ||||
\(285\) | 3.57516 | − | 9.10937i | 0.211774 | − | 0.539593i | ||||
\(286\) | 4.76880 | + | 2.29653i | 0.281985 | + | 0.135797i | ||||
\(287\) | 11.0285 | − | 7.67894i | 0.650992 | − | 0.453274i | ||||
\(288\) | −13.9163 | + | 6.70174i | −0.820027 | + | 0.394904i | ||||
\(289\) | −1.26805 | − | 16.9210i | −0.0745914 | − | 0.995353i | ||||
\(290\) | −69.4115 | − | 21.4106i | −4.07598 | − | 1.25727i | ||||
\(291\) | 0.776692 | − | 0.529539i | 0.0455305 | − | 0.0310422i | ||||
\(292\) | −42.3813 | − | 6.38796i | −2.48018 | − | 0.373827i | ||||
\(293\) | −26.4746 | −1.54666 | −0.773332 | − | 0.634001i | \(-0.781412\pi\) | ||||
−0.773332 | + | 0.634001i | \(0.781412\pi\) | |||||||
\(294\) | 7.92493 | + | 5.17794i | 0.462191 | + | 0.301984i | ||||
\(295\) | −1.84674 | −0.107522 | ||||||||
\(296\) | 13.8294 | + | 2.08445i | 0.803820 | + | 0.121156i | ||||
\(297\) | −5.52163 | + | 3.76458i | −0.320397 | + | 0.218443i | ||||
\(298\) | 5.25665 | + | 1.62146i | 0.304510 | + | 0.0939288i | ||||
\(299\) | 0.326911 | + | 4.36232i | 0.0189058 | + | 0.252280i | ||||
\(300\) | −12.2337 | + | 5.89142i | −0.706311 | + | 0.340141i | ||||
\(301\) | 0.311847 | − | 4.79294i | 0.0179746 | − | 0.276260i | ||||
\(302\) | 7.14144 | + | 3.43914i | 0.410944 | + | 0.197900i | ||||
\(303\) | 2.44601 | − | 6.23233i | 0.140520 | − | 0.358038i | ||||
\(304\) | 0.0548764 | − | 0.732275i | 0.00314738 | − | 0.0419988i | ||||
\(305\) | 4.51454 | + | 11.5029i | 0.258502 | + | 0.658652i | ||||
\(306\) | 1.02530 | − | 0.316262i | 0.0586123 | − | 0.0180795i | ||||
\(307\) | 10.1103 | − | 12.6779i | 0.577023 | − | 0.723564i | −0.404579 | − | 0.914503i | \(-0.632582\pi\) |
0.981602 | + | 0.190939i | \(0.0611534\pi\) | |||||||
\(308\) | 15.2961 | + | 7.18191i | 0.871578 | + | 0.409227i | ||||
\(309\) | 6.71923 | + | 8.42565i | 0.382244 | + | 0.479319i | ||||
\(310\) | 53.4397 | + | 36.4346i | 3.03517 | + | 2.06934i | ||||
\(311\) | −7.21097 | − | 6.69080i | −0.408897 | − | 0.379401i | 0.448735 | − | 0.893665i | \(-0.351875\pi\) |
−0.857632 | + | 0.514264i | \(0.828065\pi\) | |||||||
\(312\) | 0.944722 | − | 1.63631i | 0.0534843 | − | 0.0926376i | ||||
\(313\) | 1.61674 | + | 2.80027i | 0.0913835 | + | 0.158281i | 0.908093 | − | 0.418767i | \(-0.137538\pi\) |
−0.816710 | + | 0.577048i | \(0.804204\pi\) | |||||||
\(314\) | −3.91063 | + | 17.1336i | −0.220690 | + | 0.966905i | ||||
\(315\) | 17.7422 | − | 16.7898i | 0.999660 | − | 0.946000i | ||||
\(316\) | 2.03568 | + | 8.91890i | 0.114516 | + | 0.501727i | ||||
\(317\) | 1.06834 | − | 0.991271i | 0.0600037 | − | 0.0556753i | −0.649601 | − | 0.760275i | \(-0.725064\pi\) |
0.709605 | + | 0.704600i | \(0.248874\pi\) | |||||||
\(318\) | 10.0051 | − | 1.50803i | 0.561059 | − | 0.0845661i | ||||
\(319\) | −18.0256 | + | 2.71692i | −1.00924 | + | 0.152118i | ||||
\(320\) | −33.1982 | + | 30.8034i | −1.85584 | + | 1.72196i | ||||
\(321\) | 1.08114 | + | 4.73677i | 0.0603431 | + | 0.264381i | ||||
\(322\) | 1.91807 | + | 22.6108i | 0.106890 | + | 1.26005i | ||||
\(323\) | −0.187127 | + | 0.819859i | −0.0104120 | + | 0.0456182i | ||||
\(324\) | −9.53760 | − | 16.5196i | −0.529867 | − | 0.917756i | ||||
\(325\) | 4.16034 | − | 7.20592i | 0.230774 | − | 0.399713i | ||||
\(326\) | −21.5367 | − | 19.9832i | −1.19281 | − | 1.10677i | ||||
\(327\) | 3.61124 | + | 2.46210i | 0.199702 | + | 0.136154i | ||||
\(328\) | −8.67485 | − | 10.8779i | −0.478988 | − | 0.600632i | ||||
\(329\) | −2.16796 | + | 2.77403i | −0.119523 | + | 0.152937i | ||||
\(330\) | −5.86491 | + | 7.35437i | −0.322853 | + | 0.404844i | ||||
\(331\) | 9.44260 | − | 2.91265i | 0.519012 | − | 0.160094i | −0.0241718 | − | 0.999708i | \(-0.507695\pi\) |
0.543184 | + | 0.839614i | \(0.317219\pi\) | |||||||
\(332\) | −6.29856 | − | 16.0485i | −0.345679 | − | 0.880775i | ||||
\(333\) | 1.01048 | − | 13.4839i | 0.0553738 | − | 0.738912i | ||||
\(334\) | −15.0009 | + | 38.2217i | −0.820813 | + | 2.09140i | ||||
\(335\) | −1.40664 | − | 0.677401i | −0.0768529 | − | 0.0370104i | ||||
\(336\) | −0.119611 | + | 0.211956i | −0.00652531 | + | 0.0115631i | ||||
\(337\) | −7.41283 | + | 3.56983i | −0.403802 | + | 0.194461i | −0.624750 | − | 0.780825i | \(-0.714799\pi\) |
0.220948 | + | 0.975286i | \(0.429085\pi\) | |||||||
\(338\) | −1.98498 | − | 26.4877i | −0.107968 | − | 1.44074i | ||||
\(339\) | −2.51713 | − | 0.776430i | −0.136712 | − | 0.0421699i | ||||
\(340\) | 1.63799 | − | 1.11676i | 0.0888325 | − | 0.0605650i | ||||
\(341\) | 16.0502 | + | 2.41918i | 0.869166 | + | 0.131006i | ||||
\(342\) | 28.5912 | 1.54603 | ||||||||
\(343\) | −18.5122 | + | 0.545947i | −0.999565 | + | 0.0294784i | ||||
\(344\) | −4.97279 | −0.268115 | ||||||||
\(345\) | −7.68756 | − | 1.15871i | −0.413885 | − | 0.0623831i | ||||
\(346\) | 31.6385 | − | 21.5708i | 1.70090 | − | 1.15965i | ||||
\(347\) | −1.86325 | − | 0.574737i | −0.100025 | − | 0.0308535i | 0.244339 | − | 0.969690i | \(-0.421429\pi\) |
−0.344363 | + | 0.938836i | \(0.611905\pi\) | |||||||
\(348\) | 1.29603 | + | 17.2943i | 0.0694746 | + | 0.927074i | ||||
\(349\) | −12.6450 | + | 6.08953i | −0.676873 | + | 0.325965i | −0.740546 | − | 0.672006i | \(-0.765433\pi\) |
0.0636728 | + | 0.997971i | \(0.479719\pi\) | |||||||
\(350\) | 21.2124 | − | 37.5893i | 1.13385 | − | 2.00923i | ||||
\(351\) | −3.51024 | − | 1.69044i | −0.187363 | − | 0.0902291i | ||||
\(352\) | −4.25136 | + | 10.8323i | −0.226598 | + | 0.577363i | ||||
\(353\) | −1.06994 | + | 14.2774i | −0.0569474 | + | 0.759910i | 0.893508 | + | 0.449048i | \(0.148237\pi\) |
−0.950455 | + | 0.310862i | \(0.899382\pi\) | |||||||
\(354\) | 0.261730 | + | 0.666877i | 0.0139108 | + | 0.0354441i | ||||
\(355\) | −4.84529 | + | 1.49457i | −0.257161 | + | 0.0793237i | ||||
\(356\) | 14.3218 | − | 17.9590i | 0.759053 | − | 0.951823i | ||||
\(357\) | 0.171624 | − | 0.219603i | 0.00908330 | − | 0.0116226i | ||||
\(358\) | 1.97579 | + | 2.47757i | 0.104424 | + | 0.130944i | ||||
\(359\) | −3.30404 | − | 2.25266i | −0.174381 | − | 0.118891i | 0.472984 | − | 0.881071i | \(-0.343177\pi\) |
−0.647365 | + | 0.762180i | \(0.724129\pi\) | |||||||
\(360\) | −18.5391 | − | 17.2017i | −0.977095 | − | 0.906611i | ||||
\(361\) | −1.70426 | + | 2.95186i | −0.0896977 | + | 0.155361i | ||||
\(362\) | 7.40121 | + | 12.8193i | 0.388999 | + | 0.673766i | ||||
\(363\) | 0.926180 | − | 4.05786i | 0.0486118 | − | 0.212982i | ||||
\(364\) | 0.832722 | + | 9.81636i | 0.0436465 | + | 0.514517i | ||||
\(365\) | 10.3865 | + | 45.5062i | 0.543654 | + | 2.38190i | ||||
\(366\) | 3.51397 | − | 3.26049i | 0.183678 | − | 0.170428i | ||||
\(367\) | 9.62860 | − | 1.45128i | 0.502609 | − | 0.0757561i | 0.107156 | − | 0.994242i | \(-0.465826\pi\) |
0.395453 | + | 0.918486i | \(0.370588\pi\) | |||||||
\(368\) | −0.576875 | + | 0.0869499i | −0.0300717 | + | 0.00453257i | ||||
\(369\) | −9.86087 | + | 9.14955i | −0.513336 | + | 0.476307i | ||||
\(370\) | −9.03269 | − | 39.5748i | −0.469587 | − | 2.05740i | ||||
\(371\) | −14.3777 | + | 13.6060i | −0.746456 | + | 0.706387i | ||||
\(372\) | 3.43623 | − | 15.0551i | 0.178160 | − | 0.780570i | ||||
\(373\) | 8.22753 | + | 14.2505i | 0.426005 | + | 0.737862i | 0.996514 | − | 0.0834291i | \(-0.0265872\pi\) |
−0.570509 | + | 0.821292i | \(0.693254\pi\) | |||||||
\(374\) | 0.404176 | − | 0.700054i | 0.0208995 | − | 0.0361989i | ||||
\(375\) | 3.26295 | + | 3.02758i | 0.168498 | + | 0.156344i | ||||
\(376\) | 3.01172 | + | 2.05335i | 0.155318 | + | 0.105894i | ||||
\(377\) | −6.62616 | − | 8.30894i | −0.341265 | − | 0.427932i | ||||
\(378\) | −18.2938 | − | 8.58941i | −0.940933 | − | 0.441791i | ||||
\(379\) | 9.58909 | − | 12.0243i | 0.492558 | − | 0.617649i | −0.471974 | − | 0.881612i | \(-0.656458\pi\) |
0.964533 | + | 0.263964i | \(0.0850299\pi\) | |||||||
\(380\) | 50.4796 | − | 15.5709i | 2.58955 | − | 0.798770i | ||||
\(381\) | −0.475757 | − | 1.21221i | −0.0243738 | − | 0.0621033i | ||||
\(382\) | 2.75651 | − | 36.7830i | 0.141035 | − | 1.88198i | ||||
\(383\) | 8.31771 | − | 21.1932i | 0.425015 | − | 1.08292i | −0.544689 | − | 0.838638i | \(-0.683352\pi\) |
0.969704 | − | 0.244283i | \(-0.0785526\pi\) | |||||||
\(384\) | 9.59650 | + | 4.62143i | 0.489719 | + | 0.235836i | ||||
\(385\) | 1.19484 | − | 18.3641i | 0.0608947 | − | 0.935922i | ||||
\(386\) | −1.76902 | + | 0.851917i | −0.0900409 | + | 0.0433614i | ||||
\(387\) | 0.359289 | + | 4.79437i | 0.0182637 | + | 0.243712i | ||||
\(388\) | 4.84910 | + | 1.49575i | 0.246176 | + | 0.0759352i | ||||
\(389\) | −20.5793 | + | 14.0307i | −1.04341 | + | 0.711385i | −0.958526 | − | 0.285005i | \(-0.908005\pi\) |
−0.0848847 | + | 0.996391i | \(0.527052\pi\) | |||||||
\(390\) | −5.42275 | − | 0.817348i | −0.274591 | − | 0.0413880i | ||||
\(391\) | 0.668091 | 0.0337868 | ||||||||
\(392\) | 1.80845 | + | 19.0892i | 0.0913405 | + | 0.964150i | ||||
\(393\) | −8.69735 | −0.438723 | ||||||||
\(394\) | 7.80648 | + | 1.17664i | 0.393285 | + | 0.0592781i | ||||
\(395\) | 8.23170 | − | 5.61228i | 0.414182 | − | 0.282384i | ||||
\(396\) | −16.1635 | − | 4.98578i | −0.812246 | − | 0.250545i | ||||
\(397\) | −2.39178 | − | 31.9161i | −0.120040 | − | 1.60182i | −0.654121 | − | 0.756390i | \(-0.726961\pi\) |
0.534081 | − | 0.845434i | \(-0.320658\pi\) | |||||||
\(398\) | 43.2031 | − | 20.8055i | 2.16558 | − | 1.04289i | ||||
\(399\) | 6.09489 | − | 4.24376i | 0.305126 | − | 0.212454i | ||||
\(400\) | 0.999756 | + | 0.481457i | 0.0499878 | + | 0.0240729i | ||||
\(401\) | −9.79142 | + | 24.9481i | −0.488960 | + | 1.24585i | 0.447250 | + | 0.894409i | \(0.352404\pi\) |
−0.936210 | + | 0.351441i | \(0.885692\pi\) | |||||||
\(402\) | −0.0452602 | + | 0.603955i | −0.00225737 | + | 0.0301225i | ||||
\(403\) | 3.45718 | + | 8.80875i | 0.172214 | + | 0.438795i | ||||
\(404\) | 34.5365 | − | 10.6531i | 1.71825 | − | 0.530011i | ||||
\(405\) | −12.9522 | + | 16.2415i | −0.643600 | + | 0.807049i | ||||
\(406\) | −34.7936 | − | 42.7608i | −1.72678 | − | 2.12218i | ||||
\(407\) | −6.35149 | − | 7.96451i | −0.314831 | − | 0.394786i | ||||
\(408\) | −0.238419 | − | 0.162551i | −0.0118035 | − | 0.00804749i | ||||
\(409\) | −23.6803 | − | 21.9721i | −1.17091 | − | 1.08645i | −0.994776 | − | 0.102083i | \(-0.967449\pi\) |
−0.176137 | − | 0.984366i | \(-0.556360\pi\) | |||||||
\(410\) | −20.1914 | + | 34.9725i | −0.997181 | + | 1.72717i | ||||
\(411\) | 0.780471 | + | 1.35181i | 0.0384978 | + | 0.0666801i | ||||
\(412\) | −12.9454 | + | 56.7176i | −0.637775 | + | 2.79427i | ||||
\(413\) | −1.16572 | − | 0.778106i | −0.0573615 | − | 0.0382881i | ||||
\(414\) | −5.05443 | − | 22.1449i | −0.248412 | − | 1.08836i | ||||
\(415\) | −13.7633 | + | 12.7705i | −0.675614 | + | 0.626879i | ||||
\(416\) | −6.70837 | + | 1.01112i | −0.328905 | + | 0.0495744i | ||||
\(417\) | −3.43110 | + | 0.517155i | −0.168022 | + | 0.0253252i | ||||
\(418\) | 15.7900 | − | 14.6510i | 0.772314 | − | 0.716603i | ||||
\(419\) | 8.51373 | + | 37.3011i | 0.415923 | + | 1.82228i | 0.554819 | + | 0.831971i | \(0.312788\pi\) |
−0.138896 | + | 0.990307i | \(0.544355\pi\) | |||||||
\(420\) | −17.3374 | − | 2.43919i | −0.845979 | − | 0.119020i | ||||
\(421\) | −5.89630 | + | 25.8334i | −0.287368 | + | 1.25904i | 0.600754 | + | 0.799434i | \(0.294867\pi\) |
−0.888122 | + | 0.459608i | \(0.847990\pi\) | |||||||
\(422\) | −24.2664 | − | 42.0306i | −1.18127 | − | 2.04602i | ||||
\(423\) | 1.76209 | − | 3.05202i | 0.0856755 | − | 0.148394i | ||||
\(424\) | 15.0235 | + | 13.9398i | 0.729606 | + | 0.676975i | ||||
\(425\) | −1.04994 | − | 0.715840i | −0.0509298 | − | 0.0347233i | ||||
\(426\) | 1.22640 | + | 1.53786i | 0.0594194 | + | 0.0745096i | ||||
\(427\) | −1.99689 | + | 9.16311i | −0.0966362 | + | 0.443434i | ||||
\(428\) | −16.3528 | + | 20.5058i | −0.790445 | + | 0.991186i | ||||
\(429\) | −1.31511 | + | 0.405657i | −0.0634939 | + | 0.0195853i | ||||
\(430\) | 5.27305 | + | 13.4355i | 0.254289 | + | 0.647918i | ||||
\(431\) | −2.49624 | + | 33.3099i | −0.120239 | + | 1.60448i | 0.532184 | + | 0.846629i | \(0.321372\pi\) |
−0.652423 | + | 0.757855i | \(0.726248\pi\) | |||||||
\(432\) | 0.189824 | − | 0.483663i | 0.00913290 | − | 0.0232703i | ||||
\(433\) | 21.4477 | + | 10.3287i | 1.03071 | + | 0.496364i | 0.871250 | − | 0.490840i | \(-0.163310\pi\) |
0.159461 | + | 0.987204i | \(0.449024\pi\) | |||||||
\(434\) | 18.3815 | + | 45.5149i | 0.882339 | + | 2.18478i | ||||
\(435\) | 17.0167 | − | 8.19480i | 0.815888 | − | 0.392911i | ||||
\(436\) | 1.76320 | + | 23.5282i | 0.0844418 | + | 1.12680i | ||||
\(437\) | 17.0116 | + | 5.24739i | 0.813777 | + | 0.251017i | ||||
\(438\) | 14.9607 | − | 10.2000i | 0.714849 | − | 0.487376i | ||||
\(439\) | −14.1264 | − | 2.12922i | −0.674218 | − | 0.101622i | −0.196996 | − | 0.980404i | \(-0.563118\pi\) |
−0.477223 | + | 0.878782i | \(0.658357\pi\) | |||||||
\(440\) | −19.0532 | −0.908326 | ||||||||
\(441\) | 18.2737 | − | 3.12278i | 0.870174 | − | 0.148704i | ||||
\(442\) | 0.471266 | 0.0224158 | ||||||||
\(443\) | 18.8306 | + | 2.83825i | 0.894667 | + | 0.134849i | 0.580253 | − | 0.814436i | \(-0.302954\pi\) |
0.314415 | + | 0.949286i | \(0.398192\pi\) | |||||||
\(444\) | −8.00764 | + | 5.45952i | −0.380026 | + | 0.259097i | ||||
\(445\) | −23.9043 | − | 7.37352i | −1.13317 | − | 0.349538i | ||||
\(446\) | 3.11327 | + | 41.5437i | 0.147418 | + | 1.96715i | ||||
\(447\) | −1.28870 | + | 0.620607i | −0.0609536 | + | 0.0293537i | ||||
\(448\) | −33.9344 | + | 5.45638i | −1.60325 | + | 0.257790i | ||||
\(449\) | 7.38566 | + | 3.55675i | 0.348551 | + | 0.167853i | 0.599965 | − | 0.800026i | \(-0.295181\pi\) |
−0.251414 | + | 0.967880i | \(0.580896\pi\) | |||||||
\(450\) | −15.7843 | + | 40.2177i | −0.744078 | + | 1.89588i | ||||
\(451\) | −0.757341 | + | 10.1060i | −0.0356618 | + | 0.475873i | ||||
\(452\) | −5.19510 | − | 13.2369i | −0.244357 | − | 0.622612i | ||||
\(453\) | −1.96942 | + | 0.607485i | −0.0925313 | + | 0.0285421i | ||||
\(454\) | 19.5734 | − | 24.5442i | 0.918624 | − | 1.15192i | ||||
\(455\) | 9.62014 | − | 4.74984i | 0.450999 | − | 0.222676i | ||||
\(456\) | −4.79415 | − | 6.01167i | −0.224506 | − | 0.281522i | ||||
\(457\) | −23.8137 | − | 16.2359i | −1.11396 | − | 0.759484i | −0.140895 | − | 0.990025i | \(-0.544998\pi\) |
−0.973063 | + | 0.230541i | \(0.925950\pi\) | |||||||
\(458\) | 38.6589 | + | 35.8702i | 1.80641 | + | 1.67611i | ||||
\(459\) | −0.297508 | + | 0.515299i | −0.0138865 | + | 0.0240521i | ||||
\(460\) | −20.9841 | − | 36.3456i | −0.978391 | − | 1.69462i | ||||
\(461\) | 5.00543 | − | 21.9302i | 0.233126 | − | 1.02139i | −0.713903 | − | 0.700244i | \(-0.753074\pi\) |
0.947029 | − | 0.321147i | \(-0.104068\pi\) | |||||||
\(462\) | −6.80080 | + | 2.17119i | −0.316402 | + | 0.101013i | ||||
\(463\) | −3.96356 | − | 17.3655i | −0.184202 | − | 0.807043i | −0.979600 | − | 0.200956i | \(-0.935595\pi\) |
0.795398 | − | 0.606088i | \(-0.207262\pi\) | |||||||
\(464\) | 1.03894 | − | 0.964000i | 0.0482318 | − | 0.0447526i | ||||
\(465\) | −16.6295 | + | 2.50649i | −0.771172 | + | 0.116236i | ||||
\(466\) | 35.4869 | − | 5.34879i | 1.64390 | − | 0.247778i | ||||
\(467\) | 13.9571 | − | 12.9503i | 0.645855 | − | 0.599266i | −0.287691 | − | 0.957723i | \(-0.592888\pi\) |
0.933546 | + | 0.358457i | \(0.116697\pi\) | |||||||
\(468\) | −2.19436 | − | 9.61411i | −0.101434 | − | 0.444412i | ||||
\(469\) | −0.602498 | − | 1.02027i | −0.0278208 | − | 0.0471116i | ||||
\(470\) | 2.35420 | − | 10.3144i | 0.108591 | − | 0.475769i | ||||
\(471\) | −2.28478 | − | 3.95735i | −0.105277 | − | 0.182345i | ||||
\(472\) | −0.725540 | + | 1.25667i | −0.0333957 | + | 0.0578430i | ||||
\(473\) | 2.65520 | + | 2.46367i | 0.122086 | + | 0.113280i | ||||
\(474\) | −3.19328 | − | 2.17714i | −0.146672 | − | 0.0999996i | ||||
\(475\) | −21.1123 | − | 26.4740i | −0.968701 | − | 1.21471i | ||||
\(476\) | 1.50449 | − | 0.0147859i | 0.0689580 | − | 0.000677710i | ||||
\(477\) | 12.3542 | − | 15.4917i | 0.565659 | − | 0.709314i | ||||
\(478\) | −56.9062 | + | 17.5532i | −2.60283 | + | 0.802866i | ||||
\(479\) | −3.25076 | − | 8.28280i | −0.148531 | − | 0.378451i | 0.837173 | − | 0.546939i | \(-0.184207\pi\) |
−0.985704 | + | 0.168488i | \(0.946112\pi\) | |||||||
\(480\) | 0.900996 | − | 12.0230i | 0.0411247 | − | 0.548771i | ||||
\(481\) | 2.16975 | − | 5.52843i | 0.0989321 | − | 0.252075i | ||||
\(482\) | −31.6423 | − | 15.2381i | −1.44127 | − | 0.694078i | ||||
\(483\) | −4.36442 | − | 3.97049i | −0.198588 | − | 0.180664i | ||||
\(484\) | 20.2436 | − | 9.74883i | 0.920166 | − | 0.443128i | ||||
\(485\) | −0.412989 | − | 5.51095i | −0.0187529 | − | 0.250240i | ||||
\(486\) | 29.5985 | + | 9.12992i | 1.34261 | + | 0.414142i | ||||
\(487\) | 26.1416 | − | 17.8230i | 1.18459 | − | 0.807638i | 0.199535 | − | 0.979891i | \(-0.436057\pi\) |
0.985053 | + | 0.172252i | \(0.0551044\pi\) | |||||||
\(488\) | 9.60111 | + | 1.44713i | 0.434622 | + | 0.0655087i | ||||
\(489\) | 7.63912 | 0.345453 | ||||||||
\(490\) | 49.6577 | − | 25.1279i | 2.24331 | − | 1.13516i | ||||
\(491\) | −18.3978 | −0.830282 | −0.415141 | − | 0.909757i | \(-0.636268\pi\) | ||||
−0.415141 | + | 0.909757i | \(0.636268\pi\) | |||||||
\(492\) | 9.53390 | + | 1.43700i | 0.429821 | + | 0.0647851i | ||||
\(493\) | −1.34103 | + | 0.914301i | −0.0603971 | + | 0.0411781i | ||||
\(494\) | 11.9999 | + | 3.70147i | 0.539900 | + | 0.166537i | ||||
\(495\) | 1.37661 | + | 18.3696i | 0.0618742 | + | 0.825653i | ||||
\(496\) | −1.13699 | + | 0.547548i | −0.0510526 | + | 0.0245856i | ||||
\(497\) | −3.68822 | − | 1.09809i | −0.165439 | − | 0.0492560i | ||||
\(498\) | 6.56215 | + | 3.16017i | 0.294057 | + | 0.141610i | ||||
\(499\) | 12.8584 | − | 32.7626i | 0.575620 | − | 1.46666i | −0.285562 | − | 0.958360i | \(-0.592180\pi\) |
0.861182 | − | 0.508296i | \(-0.169725\pi\) | |||||||
\(500\) | −1.79567 | + | 23.9615i | −0.0803048 | + | 1.07159i | ||||
\(501\) | −3.90045 | − | 9.93820i | −0.174259 | − | 0.444006i | ||||
\(502\) | −1.33584 | + | 0.412051i | −0.0596214 | + | 0.0183908i | ||||
\(503\) | −5.30288 | + | 6.64961i | −0.236444 | + | 0.296491i | −0.885870 | − | 0.463933i | \(-0.846438\pi\) |
0.649426 | + | 0.760425i | \(0.275009\pi\) | |||||||
\(504\) | −4.45467 | − | 18.6695i | −0.198427 | − | 0.831606i | ||||
\(505\) | −24.5408 | − | 30.7732i | −1.09205 | − | 1.36939i | ||||
\(506\) | −14.1391 | − | 9.63989i | −0.628560 | − | 0.428545i | ||||
\(507\) | 5.06282 | + | 4.69761i | 0.224848 | + | 0.208628i | ||||
\(508\) | 3.51489 | − | 6.08796i | 0.155948 | − | 0.270110i | ||||
\(509\) | 3.19366 | + | 5.53158i | 0.141556 | + | 0.245183i | 0.928083 | − | 0.372374i | \(-0.121456\pi\) |
−0.786526 | + | 0.617557i | \(0.788123\pi\) | |||||||
\(510\) | −0.186367 | + | 0.816529i | −0.00825249 | + | 0.0361565i | ||||
\(511\) | −12.6173 | + | 33.1012i | −0.558155 | + | 1.46431i | ||||
\(512\) | −0.390432 | − | 1.71059i | −0.0172548 | − | 0.0755983i | ||||
\(513\) | −11.6228 | + | 10.7844i | −0.513158 | + | 0.476141i | ||||
\(514\) | −48.9278 | + | 7.37469i | −2.15811 | + | 0.325283i | ||||
\(515\) | 62.6487 | − | 9.44278i | 2.76063 | − | 0.416098i | ||||
\(516\) | 2.52610 | − | 2.34388i | 0.111205 | − | 0.103184i | ||||
\(517\) | −0.590803 | − | 2.58848i | −0.0259835 | − | 0.113841i | ||||
\(518\) | 10.9727 | − | 28.7867i | 0.482113 | − | 1.26481i | ||||
\(519\) | −2.21554 | + | 9.70690i | −0.0972513 | + | 0.426086i | ||||
\(520\) | −5.55397 | − | 9.61976i | −0.243558 | − | 0.421854i | ||||
\(521\) | −9.02118 | + | 15.6251i | −0.395225 | + | 0.684550i | −0.993130 | − | 0.117017i | \(-0.962667\pi\) |
0.597905 | + | 0.801567i | \(0.296000\pi\) | |||||||
\(522\) | 40.4515 | + | 37.5335i | 1.77051 | + | 1.64280i | ||||
\(523\) | 25.0972 | + | 17.1110i | 1.09742 | + | 0.748211i | 0.969871 | − | 0.243620i | \(-0.0783351\pi\) |
0.127554 | + | 0.991832i | \(0.459287\pi\) | |||||||
\(524\) | −29.2732 | − | 36.7075i | −1.27881 | − | 1.60357i | ||||
\(525\) | 2.60468 | + | 10.9162i | 0.113677 | + | 0.476422i | ||||
\(526\) | −36.1435 | + | 45.3225i | −1.57593 | + | 1.97615i | ||||
\(527\) | 1.38098 | − | 0.425977i | 0.0601566 | − | 0.0185559i | ||||
\(528\) | −0.0670534 | − | 0.170849i | −0.00291813 | − | 0.00743526i | ||||
\(529\) | −0.661861 | + | 8.83191i | −0.0287765 | + | 0.383996i | ||||
\(530\) | 21.7319 | − | 55.3721i | 0.943975 | − | 2.40521i | ||||
\(531\) | 1.26401 | + | 0.608713i | 0.0548532 | + | 0.0264159i | ||||
\(532\) | 38.4249 | + | 11.4402i | 1.66593 | + | 0.495996i | ||||
\(533\) | −5.32318 | + | 2.56351i | −0.230572 | + | 0.111038i | ||||
\(534\) | 0.725198 | + | 9.67710i | 0.0313824 | + | 0.418769i | ||||
\(535\) | 27.2944 | + | 8.41920i | 1.18004 | + | 0.363994i | ||||
\(536\) | −1.01359 | + | 0.691054i | −0.0437804 | + | 0.0298490i | ||||
\(537\) | −0.814765 | − | 0.122806i | −0.0351597 | − | 0.00529947i | ||||
\(538\) | −61.1183 | −2.63500 | ||||||||
\(539\) | 8.49175 | − | 11.0886i | 0.365766 | − | 0.477619i | ||||
\(540\) | 37.3778 | 1.60849 | ||||||||
\(541\) | 31.2865 | + | 4.71568i | 1.34511 | + | 0.202743i | 0.781814 | − | 0.623512i | \(-0.214295\pi\) |
0.563297 | + | 0.826254i | \(0.309533\pi\) | |||||||
\(542\) | −26.5846 | + | 18.1251i | −1.14190 | + | 0.778538i | ||||
\(543\) | −3.67785 | − | 1.13447i | −0.157832 | − | 0.0486846i | ||||
\(544\) | 0.0774269 | + | 1.03319i | 0.00331965 | + | 0.0442977i | ||||
\(545\) | 23.1505 | − | 11.1487i | 0.991658 | − | 0.477557i | ||||
\(546\) | −3.07863 | − | 2.80075i | −0.131753 | − | 0.119861i | ||||
\(547\) | −16.1135 | − | 7.75984i | −0.688962 | − | 0.331787i | 0.0564359 | − | 0.998406i | \(-0.482026\pi\) |
−0.745398 | + | 0.666619i | \(0.767741\pi\) | |||||||
\(548\) | −3.07850 | + | 7.84390i | −0.131507 | + | 0.335075i | ||||
\(549\) | 0.701525 | − | 9.36120i | 0.0299403 | − | 0.399526i | ||||
\(550\) | 11.8916 | + | 30.2993i | 0.507059 | + | 1.29197i | ||||
\(551\) | −41.3280 | + | 12.7480i | −1.76063 | + | 0.543083i | ||||
\(552\) | −3.80873 | + | 4.77600i | −0.162110 | + | 0.203280i | ||||
\(553\) | 7.56078 | − | 0.0743063i | 0.321517 | − | 0.00315982i | ||||
\(554\) | −27.6450 | − | 34.6657i | −1.17452 | − | 1.47280i | ||||
\(555\) | 8.72066 | + | 5.94565i | 0.370172 | + | 0.252379i | ||||
\(556\) | −13.7309 | − | 12.7405i | −0.582322 | − | 0.540315i | ||||
\(557\) | 10.5556 | − | 18.2828i | 0.447253 | − | 0.774665i | −0.550953 | − | 0.834536i | \(-0.685736\pi\) |
0.998206 | + | 0.0598711i | \(0.0190690\pi\) | |||||||
\(558\) | −24.5675 | − | 42.5521i | −1.04002 | − | 1.80138i | ||||
\(559\) | −0.469893 | + | 2.05874i | −0.0198744 | + | 0.0870753i | ||||
\(560\) | 0.727541 | + | 1.23202i | 0.0307442 | + | 0.0520622i | ||||
\(561\) | 0.0467702 | + | 0.204914i | 0.00197464 | + | 0.00865147i | ||||
\(562\) | −35.6372 | + | 33.0665i | −1.50327 | + | 1.39483i | ||||
\(563\) | −4.31668 | + | 0.650635i | −0.181927 | + | 0.0274210i | −0.239374 | − | 0.970928i | \(-0.576942\pi\) |
0.0574470 | + | 0.998349i | \(0.481704\pi\) | |||||||
\(564\) | −2.49774 | + | 0.376473i | −0.105174 | + | 0.0158524i | ||||
\(565\) | −11.3521 | + | 10.5332i | −0.477586 | + | 0.443135i | ||||
\(566\) | 1.27791 | + | 5.59890i | 0.0537146 | + | 0.235339i | ||||
\(567\) | −15.0190 | + | 4.79490i | −0.630740 | + | 0.201367i | ||||
\(568\) | −0.886566 | + | 3.88430i | −0.0371995 | + | 0.162982i | ||||
\(569\) | −2.04428 | − | 3.54080i | −0.0857008 | − | 0.148438i | 0.819989 | − | 0.572380i | \(-0.193980\pi\) |
−0.905690 | + | 0.423941i | \(0.860646\pi\) | |||||||
\(570\) | −11.1587 | + | 19.3275i | −0.467389 | + | 0.809541i | ||||
\(571\) | −26.5701 | − | 24.6534i | −1.11192 | − | 1.03171i | −0.999275 | − | 0.0380796i | \(-0.987876\pi\) |
−0.112649 | − | 0.993635i | \(-0.535934\pi\) | |||||||
\(572\) | −6.13843 | − | 4.18511i | −0.256661 | − | 0.174988i | ||||
\(573\) | 5.97985 | + | 7.49850i | 0.249812 | + | 0.313254i | ||||
\(574\) | −27.4807 | + | 13.5683i | −1.14702 | + | 0.566330i | ||||
\(575\) | −16.7728 | + | 21.0324i | −0.699474 | + | 0.877113i | ||||
\(576\) | 32.8758 | − | 10.1408i | 1.36982 | − | 0.422535i | ||||
\(577\) | 5.36508 | + | 13.6700i | 0.223351 | + | 0.569089i | 0.997994 | − | 0.0633096i | \(-0.0201656\pi\) |
−0.774643 | + | 0.632399i | \(0.782070\pi\) | |||||||
\(578\) | −2.89191 | + | 38.5899i | −0.120288 | + | 1.60513i | ||||
\(579\) | 0.186518 | − | 0.475239i | 0.00775141 | − | 0.0197503i | ||||
\(580\) | 91.8607 | + | 44.2378i | 3.81431 | + | 1.83687i | ||||
\(581\) | −14.0685 | + | 2.26211i | −0.583661 | + | 0.0938480i | ||||
\(582\) | −1.93153 | + | 0.930174i | −0.0800644 | + | 0.0385570i | ||||
\(583\) | −1.11557 | − | 14.8862i | −0.0462020 | − | 0.616523i | ||||
\(584\) | 35.0466 | + | 10.8104i | 1.45024 | + | 0.447340i | ||||
\(585\) | −8.87334 | + | 6.04974i | −0.366868 | + | 0.250126i | ||||
\(586\) | 59.7035 | + | 8.99886i | 2.46633 | + | 0.371739i | ||||
\(587\) | −20.3428 | −0.839637 | −0.419818 | − | 0.907608i | \(-0.637906\pi\) | ||||
−0.419818 | + | 0.907608i | \(0.637906\pi\) | |||||||
\(588\) | −9.91619 | − | 8.84463i | −0.408937 | − | 0.364746i | ||||
\(589\) | 38.5098 | 1.58677 | ||||||||
\(590\) | 4.16463 | + | 0.627717i | 0.171455 | + | 0.0258427i | ||||
\(591\) | −1.69604 | + | 1.15634i | −0.0697658 | + | 0.0475655i | ||||
\(592\) | 0.756834 | + | 0.233452i | 0.0311057 | + | 0.00959483i | ||||
\(593\) | 0.937753 | + | 12.5134i | 0.0385089 | + | 0.513865i | 0.982790 | + | 0.184726i | \(0.0591397\pi\) |
−0.944281 | + | 0.329140i | \(0.893241\pi\) | |||||||
\(594\) | 13.7315 | − | 6.61276i | 0.563412 | − | 0.271325i | ||||
\(595\) | −0.613583 | − | 1.51931i | −0.0251544 | − | 0.0622856i | ||||
\(596\) | −6.95677 | − | 3.35020i | −0.284960 | − | 0.137230i | ||||
\(597\) | −4.55513 | + | 11.6063i | −0.186429 | + | 0.475014i | ||||
\(598\) | 0.745551 | − | 9.94869i | 0.0304879 | − | 0.406832i | ||||
\(599\) | −16.3031 | − | 41.5395i | −0.666125 | − | 1.69726i | −0.715626 | − | 0.698484i | \(-0.753858\pi\) |
0.0495013 | − | 0.998774i | \(-0.484237\pi\) | |||||||
\(600\) | 11.1030 | − | 3.42482i | 0.453278 | − | 0.139818i | ||||
\(601\) | 8.99629 | − | 11.2810i | 0.366966 | − | 0.460161i | −0.563727 | − | 0.825961i | \(-0.690633\pi\) |
0.930694 | + | 0.365800i | \(0.119205\pi\) | |||||||
\(602\) | −2.33240 | + | 10.7027i | −0.0950613 | + | 0.436208i | ||||
\(603\) | 0.739494 | + | 0.927296i | 0.0301145 | + | 0.0377624i | ||||
\(604\) | −9.19251 | − | 6.26735i | −0.374038 | − | 0.255015i | ||||
\(605\) | −17.9374 | − | 16.6434i | −0.729258 | − | 0.676652i | ||||
\(606\) | −7.63444 | + | 13.2232i | −0.310128 | + | 0.537158i | ||||
\(607\) | 8.84616 | + | 15.3220i | 0.359055 | + | 0.621901i | 0.987803 | − | 0.155708i | \(-0.0497658\pi\) |
−0.628748 | + | 0.777609i | \(0.716432\pi\) | |||||||
\(608\) | −6.14347 | + | 26.9163i | −0.249151 | + | 1.09160i | ||||
\(609\) | 14.1943 | + | 1.99698i | 0.575180 | + | 0.0809218i | ||||
\(610\) | −6.27095 | − | 27.4748i | −0.253904 | − | 1.11242i | ||||
\(611\) | 1.13468 | − | 1.05283i | 0.0459041 | − | 0.0425928i | ||||
\(612\) | −1.48922 | + | 0.224465i | −0.0601983 | + | 0.00907344i | ||||
\(613\) | −17.3712 | + | 2.61829i | −0.701616 | + | 0.105752i | −0.490156 | − | 0.871635i | \(-0.663060\pi\) |
−0.211461 | + | 0.977387i | \(0.567822\pi\) | |||||||
\(614\) | −27.1091 | + | 25.1536i | −1.09404 | + | 1.01512i | ||||
\(615\) | −2.33649 | − | 10.2368i | −0.0942165 | − | 0.412789i | ||||
\(616\) | −12.0270 | − | 8.02787i | −0.484581 | − | 0.323452i | ||||
\(617\) | −3.63775 | + | 15.9380i | −0.146450 | + | 0.641641i | 0.847404 | + | 0.530948i | \(0.178164\pi\) |
−0.993855 | + | 0.110693i | \(0.964693\pi\) | |||||||
\(618\) | −12.2888 | − | 21.2848i | −0.494327 | − | 0.856199i | ||||
\(619\) | 18.9657 | − | 32.8496i | 0.762298 | − | 1.32034i | −0.179366 | − | 0.983782i | \(-0.557405\pi\) |
0.941663 | − | 0.336556i | \(-0.109262\pi\) | |||||||
\(620\) | −66.5496 | − | 61.7490i | −2.67270 | − | 2.47990i | ||||
\(621\) | 10.4076 | + | 7.09577i | 0.417642 | + | 0.284743i | ||||
\(622\) | 13.9874 | + | 17.5396i | 0.560843 | + | 0.703275i | ||||
\(623\) | −11.9824 | − | 14.7262i | −0.480066 | − | 0.589994i | ||||
\(624\) | 0.0667140 | − | 0.0836567i | 0.00267070 | − | 0.00334895i | ||||
\(625\) | −9.17129 | + | 2.82897i | −0.366852 | + | 0.113159i | ||||
\(626\) | −2.69411 | − | 6.86449i | −0.107678 | − | 0.274360i | ||||
\(627\) | −0.418544 | + | 5.58508i | −0.0167150 | + | 0.223046i | ||||
\(628\) | 9.01212 | − | 22.9625i | 0.359623 | − | 0.916304i | ||||
\(629\) | −0.817189 | − | 0.393538i | −0.0325835 | − | 0.0156914i | ||||
\(630\) | −45.7178 | + | 31.8325i | −1.82144 | + | 1.26824i | ||||
\(631\) | −2.87807 | + | 1.38601i | −0.114574 | + | 0.0551760i | −0.490293 | − | 0.871558i | \(-0.663110\pi\) |
0.375719 | + | 0.926734i | \(0.377396\pi\) | |||||||
\(632\) | −0.585011 | − | 7.80643i | −0.0232705 | − | 0.310523i | ||||
\(633\) | 12.0586 | + | 3.71958i | 0.479286 | + | 0.147840i | ||||
\(634\) | −2.74616 | + | 1.87230i | −0.109064 | + | 0.0743587i | ||||
\(635\) | −7.57022 | − | 1.14103i | −0.300415 | − | 0.0452803i | ||||
\(636\) | −14.2021 | −0.563150 | ||||||||
\(637\) | 8.07383 | + | 1.05510i | 0.319897 | + | 0.0418044i | ||||
\(638\) | 41.5734 | 1.64591 | ||||||||
\(639\) | 3.80899 | + | 0.574113i | 0.150681 | + | 0.0227116i | ||||
\(640\) | 51.7379 | − | 35.2743i | 2.04512 | − | 1.39434i | ||||
\(641\) | 30.4054 | + | 9.37882i | 1.20094 | + | 0.370441i | 0.829761 | − | 0.558119i | \(-0.188477\pi\) |
0.371180 | + | 0.928561i | \(0.378953\pi\) | |||||||
\(642\) | −0.828043 | − | 11.0495i | −0.0326803 | − | 0.436088i | ||||
\(643\) | 38.8930 | − | 18.7299i | 1.53379 | − | 0.738634i | 0.539167 | − | 0.842199i | \(-0.318739\pi\) |
0.994623 | + | 0.103565i | \(0.0330250\pi\) | |||||||
\(644\) | 2.06799 | − | 31.7839i | 0.0814900 | − | 1.25246i | ||||
\(645\) | −3.38120 | − | 1.62830i | −0.133135 | − | 0.0641143i | ||||
\(646\) | 0.700669 | − | 1.78528i | 0.0275675 | − | 0.0702407i | ||||
\(647\) | −2.98263 | + | 39.8004i | −0.117259 | + | 1.56472i | 0.559700 | + | 0.828695i | \(0.310916\pi\) |
−0.676960 | + | 0.736020i | \(0.736703\pi\) | |||||||
\(648\) | 5.96344 | + | 15.1946i | 0.234266 | + | 0.596900i | ||||
\(649\) | 1.00999 | − | 0.311542i | 0.0396457 | − | 0.0122291i | ||||
\(650\) | −11.8314 | + | 14.8361i | −0.464066 | + | 0.581920i | ||||
\(651\) | −11.5531 | − | 5.42447i | −0.452802 | − | 0.212602i | ||||
\(652\) | 25.7115 | + | 32.2412i | 1.00694 | + | 1.26266i | ||||
\(653\) | 36.6681 | + | 24.9999i | 1.43493 | + | 0.978320i | 0.996844 | + | 0.0793884i | \(0.0252967\pi\) |
0.438088 | + | 0.898932i | \(0.355656\pi\) | |||||||
\(654\) | −7.30690 | − | 6.77981i | −0.285722 | − | 0.265112i | ||||
\(655\) | −25.5656 | + | 44.2810i | −0.998932 | + | 1.73020i | ||||
\(656\) | −0.393964 | − | 0.682365i | −0.0153817 | − | 0.0266419i | ||||
\(657\) | 7.89044 | − | 34.5703i | 0.307835 | − | 1.34872i | ||||
\(658\) | 5.83192 | − | 5.51887i | 0.227352 | − | 0.215148i | ||||
\(659\) | −0.243002 | − | 1.06466i | −0.00946601 | − | 0.0414733i | 0.969974 | − | 0.243207i | \(-0.0781995\pi\) |
−0.979440 | + | 0.201734i | \(0.935342\pi\) | |||||||
\(660\) | 9.67875 | − | 8.98056i | 0.376745 | − | 0.349568i | ||||
\(661\) | −32.3165 | + | 4.87093i | −1.25697 | + | 0.189457i | −0.743549 | − | 0.668682i | \(-0.766859\pi\) |
−0.513418 | + | 0.858139i | \(0.671621\pi\) | |||||||
\(662\) | −22.2842 | + | 3.35881i | −0.866101 | + | 0.130544i | ||||
\(663\) | −0.0898253 | + | 0.0833457i | −0.00348853 | + | 0.00323688i | ||||
\(664\) | 3.28279 | + | 14.3829i | 0.127397 | + | 0.558163i | ||||
\(665\) | −3.69057 | − | 43.5055i | −0.143114 | − | 1.68707i | ||||
\(666\) | −6.86198 | + | 30.0643i | −0.265896 | + | 1.16497i | ||||
\(667\) | 17.1799 | + | 29.7564i | 0.665207 | + | 1.15217i | ||||
\(668\) | 28.8165 | − | 49.9117i | 1.11494 | − | 1.93114i | ||||
\(669\) | −7.94061 | − | 7.36781i | −0.307002 | − | 0.284856i | ||||
\(670\) | 2.94189 | + | 2.00575i | 0.113655 | + | 0.0774887i | ||||
\(671\) | −4.40953 | − | 5.52937i | −0.170228 | − | 0.213459i | ||||
\(672\) | 5.63448 | − | 7.20964i | 0.217355 | − | 0.278118i | ||||
\(673\) | −6.64103 | + | 8.32758i | −0.255993 | + | 0.321005i | −0.893176 | − | 0.449708i | \(-0.851528\pi\) |
0.637183 | + | 0.770713i | \(0.280100\pi\) | |||||||
\(674\) | 17.9302 | − | 5.53074i | 0.690646 | − | 0.213036i | ||||
\(675\) | −8.75321 | − | 22.3028i | −0.336911 | − | 0.858436i | ||||
\(676\) | −2.78617 | + | 37.1789i | −0.107160 | + | 1.42996i | ||||
\(677\) | −7.64547 | + | 19.4803i | −0.293839 | + | 0.748690i | 0.705367 | + | 0.708843i | \(0.250782\pi\) |
−0.999206 | + | 0.0398474i | \(0.987313\pi\) | |||||||
\(678\) | 5.41251 | + | 2.60653i | 0.207866 | + | 0.100103i | ||||
\(679\) | 2.06129 | − | 3.65269i | 0.0791051 | − | 0.140178i | ||||
\(680\) | −1.52843 | + | 0.736052i | −0.0586125 | + | 0.0282263i | ||||
\(681\) | 0.610000 | + | 8.13988i | 0.0233752 | + | 0.311921i | ||||
\(682\) | −35.3728 | − | 10.9111i | −1.35450 | − | 0.417806i | ||||
\(683\) | −4.51836 | + | 3.08056i | −0.172890 | + | 0.117874i | −0.646673 | − | 0.762767i | \(-0.723840\pi\) |
0.473783 | + | 0.880641i | \(0.342888\pi\) | |||||||
\(684\) | −39.6832 | − | 5.98128i | −1.51733 | − | 0.228700i | ||||
\(685\) | 9.17669 | 0.350623 | ||||||||
\(686\) | 41.9329 | + | 5.06121i | 1.60100 | + | 0.193238i | ||||
\(687\) | −13.7124 | −0.523160 | ||||||||
\(688\) | −0.278468 | − | 0.0419723i | −0.0106165 | − | 0.00160018i | ||||
\(689\) | 7.19069 | − | 4.90253i | 0.273943 | − | 0.186772i | ||||
\(690\) | 16.9425 | + | 5.22608i | 0.644991 | + | 0.198953i | ||||
\(691\) | 1.58822 | + | 21.1934i | 0.0604189 | + | 0.806234i | 0.942302 | + | 0.334765i | \(0.108657\pi\) |
−0.881883 | + | 0.471469i | \(0.843724\pi\) | |||||||
\(692\) | −48.4253 | + | 23.3204i | −1.84085 | + | 0.886509i | ||||
\(693\) | −6.87089 | + | 12.1755i | −0.261003 | + | 0.462509i | ||||
\(694\) | 4.00650 | + | 1.92943i | 0.152085 | + | 0.0732401i | ||||
\(695\) | −7.45262 | + | 18.9890i | −0.282694 | + | 0.720293i | ||||
\(696\) | 1.10903 | − | 14.7990i | 0.0420378 | − | 0.560956i | ||||
\(697\) | 0.329656 | + | 0.839950i | 0.0124866 | + | 0.0318154i | ||||
\(698\) | 30.5859 | − | 9.43451i | 1.15769 | − | 0.357102i | ||||
\(699\) | −5.81799 | + | 7.29553i | −0.220057 | + | 0.275942i | ||||
\(700\) | −37.3055 | + | 47.7345i | −1.41002 | + | 1.80420i | ||||
\(701\) | −6.83181 | − | 8.56681i | −0.258034 | − | 0.323564i | 0.635893 | − | 0.771777i | \(-0.280632\pi\) |
−0.893927 | + | 0.448213i | \(0.852061\pi\) | |||||||
\(702\) | 7.34142 | + | 5.00530i | 0.277084 | + | 0.188913i | ||||
\(703\) | −17.7172 | − | 16.4391i | −0.668215 | − | 0.620013i | ||||
\(704\) | 12.9598 | − | 22.4470i | 0.488440 | − | 0.846003i | ||||
\(705\) | 1.37543 | + | 2.38232i | 0.0518019 | + | 0.0897235i | ||||
\(706\) | 7.26581 | − | 31.8336i | 0.273452 | − | 1.19807i | ||||
\(707\) | −2.52496 | − | 29.7650i | −0.0949610 | − | 1.11943i | ||||
\(708\) | −0.223758 | − | 0.980347i | −0.00840933 | − | 0.0368437i | ||||
\(709\) | 25.3669 | − | 23.5370i | 0.952673 | − | 0.883951i | −0.0406667 | − | 0.999173i | \(-0.512948\pi\) |
0.993340 | + | 0.115221i | \(0.0367577\pi\) | |||||||
\(710\) | 11.4347 | − | 1.72351i | 0.429137 | − | 0.0646821i | ||||
\(711\) | −7.48408 | + | 1.12804i | −0.280675 | + | 0.0423049i | ||||
\(712\) | −14.4089 | + | 13.3695i | −0.539998 | + | 0.501045i | ||||
\(713\) | −6.80787 | − | 29.8272i | −0.254957 | − | 1.11704i | ||||
\(714\) | −0.461677 | + | 0.436895i | −0.0172778 | + | 0.0163504i | ||||
\(715\) | −1.80039 | + | 7.88804i | −0.0673309 | + | 0.294996i | ||||
\(716\) | −2.22400 | − | 3.85208i | −0.0831148 | − | 0.143959i | ||||
\(717\) | 7.74218 | − | 13.4098i | 0.289137 | − | 0.500800i | ||||
\(718\) | 6.68532 | + | 6.20307i | 0.249494 | + | 0.231497i | ||||
\(719\) | 0.347001 | + | 0.236581i | 0.0129410 | + | 0.00882300i | 0.569773 | − | 0.821802i | \(-0.307031\pi\) |
−0.556832 | + | 0.830625i | \(0.687983\pi\) | |||||||
\(720\) | −0.892969 | − | 1.11975i | −0.0332790 | − | 0.0417305i | ||||
\(721\) | 43.5244 | + | 20.4358i | 1.62094 | + | 0.761069i | ||||
\(722\) | 4.84665 | − | 6.07751i | 0.180374 | − | 0.226182i | ||||
\(723\) | 8.72609 | − | 2.69164i | 0.324527 | − | 0.100103i | ||||
\(724\) | −7.59073 | − | 19.3409i | −0.282107 | − | 0.718797i | ||||
\(725\) | 4.88394 | − | 65.1716i | 0.181385 | − | 2.42041i | ||||
\(726\) | −3.46793 | + | 8.83615i | −0.128707 | + | 0.327940i | ||||
\(727\) | 30.2573 | + | 14.5711i | 1.12218 | + | 0.540414i | 0.900566 | − | 0.434720i | \(-0.143153\pi\) |
0.221615 | + | 0.975134i | \(0.428867\pi\) | |||||||
\(728\) | 0.547343 | − | 8.41240i | 0.0202859 | − | 0.311784i | ||||
\(729\) | 8.85019 | − | 4.26203i | 0.327785 | − | 0.157853i | ||||
\(730\) | −7.95502 | − | 106.152i | −0.294429 | − | 3.92888i | ||||
\(731\) | 0.308172 | + | 0.0950586i | 0.0113982 | + | 0.00351587i | ||||
\(732\) | −5.55931 | + | 3.79027i | −0.205478 | + | 0.140093i | ||||
\(733\) | −38.1976 | − | 5.75736i | −1.41086 | − | 0.212653i | −0.600988 | − | 0.799258i | \(-0.705226\pi\) |
−0.809873 | + | 0.586605i | \(0.800464\pi\) | |||||||
\(734\) | −22.2070 | −0.819674 | ||||||||
\(735\) | −5.02097 | + | 13.5717i | −0.185201 | + | 0.500599i | ||||
\(736\) | 21.9337 | 0.808487 | ||||||||
\(737\) | 0.883573 | + | 0.133177i | 0.0325468 | + | 0.00490564i | ||||
\(738\) | 25.3474 | − | 17.2816i | 0.933052 | − | 0.636144i | ||||
\(739\) | −3.65606 | − | 1.12774i | −0.134490 | − | 0.0414848i | 0.226779 | − | 0.973946i | \(-0.427180\pi\) |
−0.361270 | + | 0.932461i | \(0.617657\pi\) | |||||||
\(740\) | 4.25789 | + | 56.8176i | 0.156523 | + | 2.08865i | ||||
\(741\) | −2.94185 | + | 1.41672i | −0.108072 | + | 0.0520445i | ||||
\(742\) | 37.0483 | − | 25.7961i | 1.36009 | − | 0.947003i | ||||
\(743\) | 3.43972 | + | 1.65648i | 0.126191 | + | 0.0607704i | 0.495914 | − | 0.868372i | \(-0.334833\pi\) |
−0.369723 | + | 0.929142i | \(0.620547\pi\) | |||||||
\(744\) | −4.82768 | + | 12.3007i | −0.176991 | + | 0.450967i | ||||
\(745\) | −0.628403 | + | 8.38546i | −0.0230229 | + | 0.307219i | ||||
\(746\) | −13.7103 | − | 34.9332i | −0.501968 | − | 1.27899i | ||||
\(747\) | 13.6296 | − | 4.20419i | 0.498683 | − | 0.153823i | ||||
\(748\) | −0.707429 | + | 0.887088i | −0.0258662 | + | 0.0324351i | ||||
\(749\) | 13.6817 | + | 16.8147i | 0.499919 | + | 0.614394i | ||||
\(750\) | −6.32927 | − | 7.93665i | −0.231112 | − | 0.289806i | ||||
\(751\) | 3.68708 | + | 2.51381i | 0.134544 | + | 0.0917302i | 0.628722 | − | 0.777630i | \(-0.283579\pi\) |
−0.494178 | + | 0.869361i | \(0.664531\pi\) | |||||||
\(752\) | 0.151320 | + | 0.140405i | 0.00551809 | + | 0.00512004i | ||||
\(753\) | 0.181743 | − | 0.314788i | 0.00662308 | − | 0.0114715i | ||||
\(754\) | 12.1185 | + | 20.9899i | 0.441331 | + | 0.764408i | ||||
\(755\) | −2.69615 | + | 11.8126i | −0.0981231 | + | 0.429905i | ||||
\(756\) | 23.5941 | + | 15.7488i | 0.858108 | + | 0.572777i | ||||
\(757\) | −3.01273 | − | 13.1996i | −0.109499 | − | 0.479748i | −0.999707 | − | 0.0241938i | \(-0.992298\pi\) |
0.890208 | − | 0.455555i | \(-0.150559\pi\) | |||||||
\(758\) | −25.7117 | + | 23.8570i | −0.933890 | + | 0.866524i | ||||
\(759\) | 4.39984 | − | 0.663168i | 0.159704 | − | 0.0240715i | ||||
\(760\) | −44.6996 | + | 6.73738i | −1.62143 | + | 0.244391i | ||||
\(761\) | −7.50350 | + | 6.96223i | −0.272002 | + | 0.252381i | −0.804365 | − | 0.594135i | \(-0.797494\pi\) |
0.532364 | + | 0.846516i | \(0.321304\pi\) | |||||||
\(762\) | 0.660854 | + | 2.89539i | 0.0239402 | + | 0.104889i | ||||
\(763\) | 19.3107 | + | 2.71681i | 0.699094 | + | 0.0983552i | ||||
\(764\) | −11.5209 | + | 50.4764i | −0.416812 | + | 1.82617i | ||||
\(765\) | 0.820075 | + | 1.42041i | 0.0296499 | + | 0.0513551i | ||||
\(766\) | −25.9611 | + | 44.9660i | −0.938013 | + | 1.62469i | ||||
\(767\) | 0.451705 | + | 0.419121i | 0.0163101 | + | 0.0151336i | ||||
\(768\) | −7.34081 | − | 5.00488i | −0.264889 | − | 0.180598i | ||||
\(769\) | 0.848419 | + | 1.06388i | 0.0305948 | + | 0.0383646i | 0.796894 | − | 0.604120i | \(-0.206475\pi\) |
−0.766299 | + | 0.642484i | \(0.777904\pi\) | |||||||
\(770\) | −8.93657 | + | 41.0072i | −0.322051 | + | 1.47780i | ||||
\(771\) | 8.02160 | − | 10.0588i | 0.288891 | − | 0.362258i | ||||
\(772\) | 2.63354 | − | 0.812340i | 0.0947832 | − | 0.0292367i | ||||
\(773\) | −6.56149 | − | 16.7184i | −0.236000 | − | 0.601319i | 0.762982 | − | 0.646420i | \(-0.223734\pi\) |
−0.998982 | + | 0.0451006i | \(0.985639\pi\) | |||||||
\(774\) | 0.819391 | − | 10.9340i | 0.0294524 | − | 0.393015i | ||||
\(775\) | −21.2600 | + | 54.1697i | −0.763683 | + | 1.94583i | ||||
\(776\) | −3.91234 | − | 1.88409i | −0.140445 | − | 0.0676347i | ||||
\(777\) | 2.99962 | + | 7.42744i | 0.107611 | + | 0.266458i | ||||
\(778\) | 51.1779 | − | 24.6460i | 1.83482 | − | 0.883601i | ||||
\(779\) | 1.79682 | + | 23.9769i | 0.0643778 | + | 0.859062i | ||||
\(780\) | 7.35552 | + | 2.26888i | 0.263370 | + | 0.0812389i | ||||
\(781\) | 2.39778 | − | 1.63478i | 0.0857992 | − | 0.0584969i | ||||
\(782\) | −1.50663 | − | 0.227087i | −0.0538769 | − | 0.00812063i | ||||
\(783\) | −30.6015 | −1.09361 | ||||||||
\(784\) | −0.0598502 | + | 1.08423i | −0.00213751 | + | 0.0387225i | ||||
\(785\) | −26.8642 | −0.958824 | ||||||||
\(786\) | 19.6136 | + | 2.95627i | 0.699593 | + | 0.105447i | ||||
\(787\) | −34.8837 | + | 23.7833i | −1.24347 | + | 0.847783i | −0.992741 | − | 0.120274i | \(-0.961623\pi\) |
−0.250729 | + | 0.968057i | \(0.580670\pi\) | |||||||
\(788\) | −10.5889 | − | 3.26623i | −0.377213 | − | 0.116355i | ||||
\(789\) | −1.12640 | − | 15.0308i | −0.0401010 | − | 0.535111i | ||||
\(790\) | −20.4711 | + | 9.85837i | −0.728330 | + | 0.350745i | ||||
\(791\) | −11.6038 | + | 1.86580i | −0.412585 | + | 0.0663403i | ||||
\(792\) | 13.0410 | + | 6.28021i | 0.463391 | + | 0.223158i | ||||
\(793\) | 1.50635 | − | 3.83812i | 0.0534921 | − | 0.136296i | ||||
\(794\) | −5.45468 | + | 72.7877i | −0.193579 | + | 2.58314i | ||||
\(795\) | 5.65062 | + | 14.3975i | 0.200407 | + | 0.510628i | ||||
\(796\) | −64.3163 | + | 19.8390i | −2.27963 | + | 0.703173i | ||||
\(797\) | −0.968342 | + | 1.21426i | −0.0343004 | + | 0.0430114i | −0.798686 | − | 0.601748i | \(-0.794471\pi\) |
0.764385 | + | 0.644760i | \(0.223043\pi\) | |||||||
\(798\) | −15.1872 | + | 7.49851i | −0.537621 | + | 0.265445i | ||||
\(799\) | −0.147390 | − | 0.184821i | −0.00521429 | − | 0.00653851i | ||||
\(800\) | −34.4701 | − | 23.5013i | −1.21870 | − | 0.830897i | ||||
\(801\) | 13.9309 | + | 12.9260i | 0.492226 | + | 0.456719i | ||||
\(802\) | 30.5608 | − | 52.9329i | 1.07914 | − | 1.86913i | ||||
\(803\) | −13.3572 | − | 23.1354i | −0.471365 | − | 0.816429i | ||||
\(804\) | 0.189166 | − | 0.828792i | 0.00667138 | − | 0.0292292i | ||||
\(805\) | −33.0441 | + | 10.5495i | −1.16465 | + | 0.371821i | ||||
\(806\) | −4.80222 | − | 21.0399i | −0.169151 | − | 0.741099i | ||||
\(807\) | 11.6494 | − | 10.8091i | 0.410079 | − | 0.380497i | ||||
\(808\) | −30.5820 | + | 4.60949i | −1.07587 | + | 0.162161i | ||||
\(809\) | −23.7286 | + | 3.57650i | −0.834252 | + | 0.125743i | −0.552258 | − | 0.833673i | \(-0.686234\pi\) |
−0.281993 | + | 0.959416i | \(0.590996\pi\) | |||||||
\(810\) | 34.7294 | − | 32.2241i | 1.22027 | − | 1.13224i | ||||
\(811\) | 6.98545 | + | 30.6053i | 0.245292 | + | 1.07470i | 0.936121 | + | 0.351678i | \(0.114389\pi\) |
−0.690829 | + | 0.723018i | \(0.742754\pi\) | |||||||
\(812\) | 39.3462 | + | 66.6288i | 1.38078 | + | 2.33821i | ||||
\(813\) | 1.86163 | − | 8.15632i | 0.0652901 | − | 0.286055i | ||||
\(814\) | 11.6162 | + | 20.1198i | 0.407147 | + | 0.705200i | ||||
\(815\) | 22.4550 | − | 38.8932i | 0.786564 | − | 1.36237i | ||||
\(816\) | −0.0119791 | − | 0.0111150i | −0.000419352 | − | 0.000389102i | ||||
\(817\) | 7.10039 | + | 4.84096i | 0.248411 | + | 0.169364i | ||||
\(818\) | 45.9334 | + | 57.5987i | 1.60602 | + | 2.01389i | ||||
\(819\) | −8.15013 | + | 0.0800983i | −0.284788 | + | 0.00279886i | ||||
\(820\) | 35.3409 | − | 44.3161i | 1.23416 | − | 1.54758i | ||||
\(821\) | 45.5478 | − | 14.0496i | 1.58963 | − | 0.490335i | 0.631188 | − | 0.775630i | \(-0.282568\pi\) |
0.958440 | + | 0.285295i | \(0.0920915\pi\) | |||||||
\(822\) | −1.30057 | − | 3.31379i | −0.0453625 | − | 0.115582i | ||||
\(823\) | −0.971990 | + | 12.9703i | −0.0338814 | + | 0.452116i | 0.954302 | + | 0.298843i | \(0.0966006\pi\) |
−0.988184 | + | 0.153274i | \(0.951018\pi\) | |||||||
\(824\) | 18.1875 | − | 46.3410i | 0.633592 | − | 1.61437i | ||||
\(825\) | −7.62516 | − | 3.67209i | −0.265474 | − | 0.127846i | ||||
\(826\) | 2.36436 | + | 2.15096i | 0.0822668 | + | 0.0748414i | ||||
\(827\) | −39.3246 | + | 18.9377i | −1.36745 | + | 0.658529i | −0.966285 | − | 0.257477i | \(-0.917109\pi\) |
−0.401165 | + | 0.916006i | \(0.631395\pi\) | |||||||
\(828\) | 2.38259 | + | 31.7935i | 0.0828007 | + | 1.10490i | ||||
\(829\) | −8.18452 | − | 2.52459i | −0.284260 | − | 0.0876826i | 0.149346 | − | 0.988785i | \(-0.452283\pi\) |
−0.433607 | + | 0.901102i | \(0.642759\pi\) | |||||||
\(830\) | 35.3787 | − | 24.1208i | 1.22801 | − | 0.837245i | ||||
\(831\) | 11.4000 | + | 1.71828i | 0.395463 | + | 0.0596065i | ||||
\(832\) | 15.1110 | 0.523879 | ||||||||
\(833\) | 0.252832 | − | 1.21756i | 0.00876010 | − | 0.0421860i | ||||
\(834\) | 7.91332 | 0.274016 | ||||||||
\(835\) | −62.0638 | − | 9.35462i | −2.14781 | − | 0.323730i | ||||
\(836\) | −24.9807 | + | 17.0316i | −0.863977 | + | 0.589050i | ||||
\(837\) | 26.0374 | + | 8.03147i | 0.899983 | + | 0.277608i | ||||
\(838\) | −6.52068 | − | 87.0124i | −0.225253 | − | 3.00579i | ||||
\(839\) | −31.6649 | + | 15.2490i | −1.09319 | + | 0.526455i | −0.891512 | − | 0.452996i | \(-0.850355\pi\) |
−0.201682 | + | 0.979451i | \(0.564641\pi\) | |||||||
\(840\) | 14.3591 | + | 4.27512i | 0.495436 | + | 0.147506i | ||||
\(841\) | −49.0789 | − | 23.6351i | −1.69237 | − | 0.815005i | ||||
\(842\) | 22.0778 | − | 56.2532i | 0.760850 | − | 1.93861i | ||||
\(843\) | 0.944632 | − | 12.6052i | 0.0325349 | − | 0.434147i | ||||
\(844\) | 24.8878 | + | 63.4130i | 0.856673 | + | 2.18277i | ||||
\(845\) | 38.7990 | − | 11.9679i | 1.33473 | − | 0.411709i | ||||
\(846\) | −5.01111 | + | 6.28374i | −0.172286 | + | 0.216039i | ||||
\(847\) | −4.31009 | − | 18.0636i | −0.148096 | − | 0.620672i | ||||
\(848\) | 0.723635 | + | 0.907410i | 0.0248497 | + | 0.0311606i | ||||
\(849\) | −1.23377 | − | 0.841169i | −0.0423428 | − | 0.0288688i | ||||
\(850\) | 2.12443 | + | 1.97119i | 0.0728675 | + | 0.0676112i | ||||
\(851\) | −9.60061 | + | 16.6287i | −0.329105 | + | 0.570026i | ||||
\(852\) | −1.38047 | − | 2.39104i | −0.0472940 | − | 0.0819157i | ||||
\(853\) | −8.66291 | + | 37.9547i | −0.296612 | + | 1.29954i | 0.578524 | + | 0.815666i | \(0.303629\pi\) |
−0.875136 | + | 0.483877i | \(0.839228\pi\) | |||||||
\(854\) | 7.61781 | − | 19.9852i | 0.260676 | − | 0.683879i | ||||
\(855\) | 9.72525 | + | 42.6091i | 0.332596 | + | 1.45720i | ||||
\(856\) | 16.4524 | − | 15.2656i | 0.562330 | − | 0.521766i | ||||
\(857\) | 16.3173 | − | 2.45944i | 0.557388 | − | 0.0840127i | 0.135694 | − | 0.990751i | \(-0.456674\pi\) |
0.421694 | + | 0.906738i | \(0.361436\pi\) | |||||||
\(858\) | 3.10361 | − | 0.467794i | 0.105955 | − | 0.0159702i | ||||
\(859\) | 26.9546 | − | 25.0102i | 0.919678 | − | 0.853337i | −0.0698674 | − | 0.997556i | \(-0.522258\pi\) |
0.989546 | + | 0.144220i | \(0.0460672\pi\) | |||||||
\(860\) | −4.50803 | − | 19.7510i | −0.153722 | − | 0.673502i | ||||
\(861\) | 2.83832 | − | 7.44627i | 0.0967296 | − | 0.253768i | ||||
\(862\) | 16.9515 | − | 74.2695i | 0.577371 | − | 2.52963i | ||||
\(863\) | −19.8036 | − | 34.3008i | −0.674122 | − | 1.16761i | −0.976725 | − | 0.214497i | \(-0.931189\pi\) |
0.302602 | − | 0.953117i | \(-0.402145\pi\) | |||||||
\(864\) | −9.76731 | + | 16.9175i | −0.332291 | + | 0.575544i | ||||
\(865\) | 42.9084 | + | 39.8132i | 1.45893 | + | 1.35369i | ||||
\(866\) | −44.8564 | − | 30.5826i | −1.52428 | − | 1.03924i | ||||
\(867\) | −6.27360 | − | 7.86685i | −0.213063 | − | 0.267172i | ||||
\(868\) | −15.9909 | − | 67.0178i | −0.542766 | − | 2.27473i | ||||
\(869\) | −3.55517 | + | 4.45805i | −0.120601 | + | 0.151229i | ||||
\(870\) | −41.1601 | + | 12.6962i | −1.39546 | + | 0.430442i | ||||
\(871\) | 0.190320 | + | 0.484927i | 0.00644874 | + | 0.0164311i | ||||
\(872\) | 1.50879 | − | 20.1335i | 0.0510942 | − | 0.681805i | ||||
\(873\) | −1.53382 | + | 3.90810i | −0.0519119 | + | 0.132269i | ||||
\(874\) | −36.5797 | − | 17.6158i | −1.23733 | − | 0.595865i | ||||
\(875\) | 19.0343 | + | 5.66706i | 0.643477 | + | 0.191582i | ||||
\(876\) | −22.8986 | + | 11.0274i | −0.773671 | + | 0.372580i | ||||
\(877\) | 3.66113 | + | 48.8543i | 0.123627 | + | 1.64969i | 0.622209 | + | 0.782851i | \(0.286235\pi\) |
−0.498582 | + | 0.866843i | \(0.666146\pi\) | |||||||
\(878\) | 31.1331 | + | 9.60329i | 1.05069 | + | 0.324095i | ||||
\(879\) | −12.9712 | + | 8.84364i | −0.437509 | + | 0.298288i | ||||
\(880\) | −1.06695 | − | 0.160817i | −0.0359669 | − | 0.00542114i | ||||
\(881\) | 39.5400 | 1.33214 | 0.666069 | − | 0.745891i | \(-0.267976\pi\) | ||||
0.666069 | + | 0.745891i | \(0.267976\pi\) | |||||||
\(882\) | −42.2708 | + | 0.830942i | −1.42333 | + | 0.0279793i | ||||
\(883\) | 52.3150 | 1.76054 | 0.880269 | − | 0.474474i | \(-0.157362\pi\) | ||||
0.880269 | + | 0.474474i | \(0.157362\pi\) | |||||||
\(884\) | −0.654095 | − | 0.0985889i | −0.0219996 | − | 0.00331590i | ||||
\(885\) | −0.904811 | + | 0.616890i | −0.0304149 | + | 0.0207365i | ||||
\(886\) | −41.5005 | − | 12.8012i | −1.39424 | − | 0.430065i | ||||
\(887\) | −4.27882 | − | 57.0969i | −0.143669 | − | 1.91713i | −0.346738 | − | 0.937962i | \(-0.612711\pi\) |
0.203069 | − | 0.979164i | \(-0.434908\pi\) | |||||||
\(888\) | 7.47202 | − | 3.59834i | 0.250745 | − | 0.120752i | ||||
\(889\) | −4.29780 | − | 3.90988i | −0.144144 | − | 0.131133i | ||||
\(890\) | 51.4009 | + | 24.7534i | 1.72296 | + | 0.829735i | ||||
\(891\) | 4.34371 | − | 11.0676i | 0.145520 | − | 0.370778i | ||||
\(892\) | 4.36988 | − | 58.3120i | 0.146314 | − | 1.95243i | ||||
\(893\) | −2.30136 | − | 5.86376i | −0.0770120 | − | 0.196223i | ||||
\(894\) | 3.11713 | − | 0.961507i | 0.104252 | − | 0.0321576i | ||||
\(895\) | −3.02022 | + | 3.78724i | −0.100955 | + | 0.126594i | ||||
\(896\) | 47.5210 | − | 0.467030i | 1.58757 | − | 0.0156024i | ||||
\(897\) | 1.61737 | + | 2.02812i | 0.0540024 | + | 0.0677168i | ||||
\(898\) | −15.4466 | − | 10.5313i | −0.515460 | − | 0.351435i | ||||
\(899\) | 54.4846 | + | 50.5543i | 1.81716 | + | 1.68608i | ||||
\(900\) | 30.3214 | − | 52.5182i | 1.01071 | − | 1.75061i | ||||
\(901\) | −0.664564 | − | 1.15106i | −0.0221398 | − | 0.0383473i | ||||
\(902\) | 5.14298 | − | 22.5328i | 0.171242 | − | 0.750262i | ||||
\(903\) | −1.44825 | − | 2.45247i | −0.0481948 | − | 0.0816130i | ||||
\(904\) | 2.70767 | + | 11.8631i | 0.0900559 | + | 0.394560i | ||||
\(905\) | −16.5869 | + | 15.3904i | −0.551367 | + | 0.511593i | ||||
\(906\) | 4.64776 | − | 0.700537i | 0.154412 | − | 0.0232738i | ||||
\(907\) | −22.4662 | + | 3.38624i | −0.745978 | + | 0.112438i | −0.511022 | − | 0.859568i | \(-0.670733\pi\) |
−0.234957 | + | 0.972006i | \(0.575495\pi\) | |||||||
\(908\) | −32.3016 | + | 29.9715i | −1.07196 | + | 0.994638i | ||||
\(909\) | 6.65369 | + | 29.1517i | 0.220689 | + | 0.966902i | ||||
\(910\) | −23.3091 | + | 7.44153i | −0.772688 | + | 0.246684i | ||||
\(911\) | 6.96285 | − | 30.5062i | 0.230689 | − | 1.01072i | −0.718380 | − | 0.695651i | \(-0.755116\pi\) |
0.949070 | − | 0.315066i | \(-0.102027\pi\) | |||||||
\(912\) | −0.217724 | − | 0.377109i | −0.00720955 | − | 0.0124873i | ||||
\(913\) | 5.37287 | − | 9.30608i | 0.177816 | − | 0.307986i | ||||
\(914\) | 48.1841 | + | 44.7083i | 1.59379 | + | 1.47882i | ||||
\(915\) | 6.05433 | + | 4.12777i | 0.200150 | + | 0.136460i | ||||
\(916\) | −46.1526 | − | 57.8736i | −1.52493 | − | 1.91220i | ||||
\(917\) | −34.7952 | + | 17.1797i | −1.14904 | + | 0.567325i | ||||
\(918\) | 0.846069 | − | 1.06094i | 0.0279244 | − | 0.0350161i | ||||
\(919\) | −23.8510 | + | 7.35705i | −0.786771 | + | 0.242687i | −0.662005 | − | 0.749500i | \(-0.730294\pi\) |
−0.124766 | + | 0.992186i | \(0.539818\pi\) | |||||||
\(920\) | 13.1205 | + | 33.4304i | 0.432569 | + | 1.10217i | ||||
\(921\) | 0.718578 | − | 9.58876i | 0.0236780 | − | 0.315960i | ||||
\(922\) | −18.7420 | + | 47.7539i | −0.617236 | + | 1.57269i | ||||
\(923\) | 1.52433 | + | 0.734078i | 0.0501739 | + | 0.0241625i | ||||
\(924\) | 9.89339 | − | 1.59078i | 0.325469 | − | 0.0523327i | ||||
\(925\) | 32.9051 | − | 15.8463i | 1.08191 | − | 0.521022i | ||||
\(926\) | 3.03570 | + | 40.5085i | 0.0997592 | + | 1.33119i | ||||
\(927\) | −45.9924 | − | 14.1868i | −1.51059 | − | 0.465955i | ||||
\(928\) | −44.0267 | + | 30.0169i | −1.44525 | + | 0.985353i | ||||
\(929\) | −11.2645 | − | 1.69785i | −0.369577 | − | 0.0557048i | −0.0383719 | − | 0.999264i | \(-0.512217\pi\) |
−0.331205 | + | 0.943559i | \(0.607455\pi\) | |||||||
\(930\) | 38.3534 | 1.25766 | ||||||||
\(931\) | 16.0010 | − | 29.0170i | 0.524410 | − | 0.950994i | ||||
\(932\) | −50.3731 | −1.65002 | ||||||||
\(933\) | −5.76802 | − | 0.869389i | −0.188836 | − | 0.0284625i | ||||
\(934\) | −35.8767 | + | 24.4603i | −1.17392 | + | 0.800366i | ||||
\(935\) | 1.18076 | + | 0.364217i | 0.0386150 | + | 0.0119112i | ||||
\(936\) | 0.630611 | + | 8.41492i | 0.0206122 | + | 0.275050i | ||||
\(937\) | 12.6600 | − | 6.09672i | 0.413583 | − | 0.199171i | −0.215509 | − | 0.976502i | \(-0.569141\pi\) |
0.629092 | + | 0.777331i | \(0.283427\pi\) | |||||||
\(938\) | 1.01191 | + | 2.50562i | 0.0330401 | + | 0.0818115i | ||||
\(939\) | 1.72753 | + | 0.831934i | 0.0563758 | + | 0.0271491i | ||||
\(940\) | −5.42529 | + | 13.8234i | −0.176954 | + | 0.450870i | ||||
\(941\) | 1.52176 | − | 20.3065i | 0.0496081 | − | 0.661974i | −0.915868 | − | 0.401481i | \(-0.868496\pi\) |
0.965476 | − | 0.260493i | \(-0.0838852\pi\) | |||||||
\(942\) | 3.80733 | + | 9.70092i | 0.124049 | + | 0.316073i | ||||
\(943\) | 18.2533 | − | 5.63041i | 0.594410 | − | 0.183351i | ||||
\(944\) | −0.0512359 | + | 0.0642478i | −0.00166759 | + | 0.00209109i | ||||
\(945\) | 6.57806 | − | 30.1847i | 0.213984 | − | 0.981910i | ||||
\(946\) | −5.15039 | − | 6.45839i | −0.167454 | − | 0.209980i | ||||
\(947\) | −11.0258 | − | 7.51723i | −0.358289 | − | 0.244277i | 0.370775 | − | 0.928723i | \(-0.379092\pi\) |
−0.729064 | + | 0.684445i | \(0.760044\pi\) | |||||||
\(948\) | 3.97667 | + | 3.68981i | 0.129156 | + | 0.119839i | ||||
\(949\) | 7.78719 | − | 13.4878i | 0.252783 | − | 0.437833i | ||||
\(950\) | 38.6122 | + | 66.8784i | 1.25275 | + | 2.16982i | ||||
\(951\) | 0.192305 | − | 0.842541i | 0.00623590 | − | 0.0273213i | ||||
\(952\) | −1.27492 | − | 0.179368i | −0.0413204 | − | 0.00581334i | ||||
\(953\) | 0.964230 | + | 4.22457i | 0.0312345 | + | 0.136847i | 0.988141 | − | 0.153549i | \(-0.0490702\pi\) |
−0.956907 | + | 0.290396i | \(0.906213\pi\) | |||||||
\(954\) | −33.1259 | + | 30.7363i | −1.07249 | + | 0.995125i | ||||
\(955\) | 55.7549 | − | 8.40370i | 1.80419 | − | 0.271937i | ||||
\(956\) | 82.6551 | − | 12.4583i | 2.67326 | − | 0.402929i | ||||
\(957\) | −7.92406 | + | 7.35245i | −0.256148 | + | 0.237671i | ||||
\(958\) | 4.51549 | + | 19.7837i | 0.145889 | + | 0.639182i | ||||
\(959\) | 5.79262 | + | 3.86650i | 0.187053 | + | 0.124856i | ||||
\(960\) | −5.97580 | + | 26.1817i | −0.192868 | + | 0.845011i | ||||
\(961\) | −17.5902 | − | 30.4672i | −0.567427 | − | 0.982812i | ||||
\(962\) | −6.77219 | + | 11.7298i | −0.218344 | + | 0.378183i | ||||
\(963\) | −15.9066 | − | 14.7591i | −0.512582 | − | 0.475607i | ||||
\(964\) | 40.7302 | + | 27.7694i | 1.31183 | + | 0.894391i | ||||
\(965\) | −1.87133 | − | 2.34658i | −0.0602403 | − | 0.0755389i | ||||
\(966\) | 8.49271 | + | 10.4374i | 0.273248 | + | 0.335819i | ||||
\(967\) | −9.03663 | + | 11.3316i | −0.290598 | + | 0.364399i | −0.905604 | − | 0.424124i | \(-0.860582\pi\) |
0.615006 | + | 0.788523i | \(0.289154\pi\) | |||||||
\(968\) | −18.3727 | + | 5.66722i | −0.590520 | + | 0.182151i | ||||
\(969\) | 0.182184 | + | 0.464198i | 0.00585260 | + | 0.0149122i | ||||
\(970\) | −0.941860 | + | 12.5682i | −0.0302413 | + | 0.403542i | ||||
\(971\) | −8.57856 | + | 21.8578i | −0.275299 | + | 0.701451i | 0.724625 | + | 0.689143i | \(0.242013\pi\) |
−0.999924 | + | 0.0123075i | \(0.996082\pi\) | |||||||
\(972\) | −39.1713 | − | 18.8639i | −1.25642 | − | 0.605060i | ||||
\(973\) | −12.7051 | + | 8.84635i | −0.407308 | + | 0.283601i | ||||
\(974\) | −65.0106 | + | 31.3074i | −2.08307 | + | 1.00316i | ||||
\(975\) | −0.368723 | − | 4.92027i | −0.0118086 | − | 0.157575i | ||||
\(976\) | 0.525432 | + | 0.162074i | 0.0168187 | + | 0.00518788i | ||||
\(977\) | −30.6858 | + | 20.9212i | −0.981726 | + | 0.669330i | −0.943995 | − | 0.329958i | \(-0.892965\pi\) |
−0.0377307 | + | 0.999288i | \(0.512013\pi\) | |||||||
\(978\) | −17.2271 | − | 2.59657i | −0.550863 | − | 0.0830292i | ||||
\(979\) | 14.3173 | 0.457583 | ||||||||
\(980\) | −74.1792 | + | 24.4879i | −2.36957 | + | 0.782238i | ||||
\(981\) | −19.5201 | −0.623230 | ||||||||
\(982\) | 41.4893 | + | 6.25351i | 1.32398 | + | 0.199558i | ||||
\(983\) | −12.1626 | + | 8.29232i | −0.387927 | + | 0.264484i | −0.741541 | − | 0.670907i | \(-0.765905\pi\) |
0.353615 | + | 0.935391i | \(0.384952\pi\) | |||||||
\(984\) | −7.88391 | − | 2.43187i | −0.251330 | − | 0.0775250i | ||||
\(985\) | 0.901833 | + | 12.0341i | 0.0287348 | + | 0.383439i | ||||
\(986\) | 3.33497 | − | 1.60604i | 0.106207 | − | 0.0511466i | ||||
\(987\) | −0.135549 | + | 2.08332i | −0.00431457 | + | 0.0663129i | ||||
\(988\) | −15.8809 | − | 7.64784i | −0.505239 | − | 0.243310i | ||||
\(989\) | 2.49427 | − | 6.35531i | 0.0793133 | − | 0.202087i | ||||
\(990\) | 3.13950 | − | 41.8937i | 0.0997797 | − | 1.33147i | ||||
\(991\) | −21.2998 | − | 54.2709i | −0.676609 | − | 1.72397i | −0.689739 | − | 0.724058i | \(-0.742275\pi\) |
0.0131296 | − | 0.999914i | \(-0.495821\pi\) | |||||||
\(992\) | 45.3383 | − | 13.9850i | 1.43949 | − | 0.444025i | ||||
\(993\) | 3.65345 | − | 4.58128i | 0.115939 | − | 0.145382i | ||||
\(994\) | 7.94414 | + | 3.72997i | 0.251973 | + | 0.118307i | ||||
\(995\) | 45.7016 | + | 57.3081i | 1.44884 | + | 1.81679i | ||||
\(996\) | −8.44684 | − | 5.75896i | −0.267648 | − | 0.182480i | ||||
\(997\) | 24.6347 | + | 22.8577i | 0.780190 | + | 0.723910i | 0.965962 | − | 0.258683i | \(-0.0832884\pi\) |
−0.185773 | + | 0.982593i | \(0.559479\pi\) | |||||||
\(998\) | −40.1334 | + | 69.5131i | −1.27040 | + | 2.20040i | ||||
\(999\) | −8.55050 | − | 14.8099i | −0.270526 | − | 0.468564i |
(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 | 49.2.g.a.39.1 | ✓ | 48 | |
3.2 | odd | 2 | 441.2.bb.d.235.4 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.529.2 | 48 | |||
7.2 | even | 3 | 343.2.g.i.226.4 | 48 | |||
7.3 | odd | 6 | 343.2.e.c.295.7 | 48 | |||
7.4 | even | 3 | 343.2.e.d.295.7 | 48 | |||
7.5 | odd | 6 | 343.2.g.h.226.4 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.165.1 | 48 | |||
49.3 | odd | 42 | 343.2.e.c.50.7 | 48 | |||
49.5 | odd | 42 | 343.2.g.g.79.1 | 48 | |||
49.8 | even | 7 | 343.2.g.i.214.4 | 48 | |||
49.17 | odd | 42 | 2401.2.a.i.1.21 | 24 | |||
49.32 | even | 21 | 2401.2.a.h.1.21 | 24 | |||
49.41 | odd | 14 | 343.2.g.h.214.4 | 48 | |||
49.44 | even | 21 | inner | 49.2.g.a.44.1 | yes | 48 | |
49.46 | even | 21 | 343.2.e.d.50.7 | 48 | |||
147.44 | odd | 42 | 441.2.bb.d.289.4 | 48 | |||
196.191 | odd | 42 | 784.2.bg.c.289.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.39.1 | ✓ | 48 | 1.1 | even | 1 | trivial | |
49.2.g.a.44.1 | yes | 48 | 49.44 | even | 21 | inner | |
343.2.e.c.50.7 | 48 | 49.3 | odd | 42 | |||
343.2.e.c.295.7 | 48 | 7.3 | odd | 6 | |||
343.2.e.d.50.7 | 48 | 49.46 | even | 21 | |||
343.2.e.d.295.7 | 48 | 7.4 | even | 3 | |||
343.2.g.g.79.1 | 48 | 49.5 | odd | 42 | |||
343.2.g.g.165.1 | 48 | 7.6 | odd | 2 | |||
343.2.g.h.214.4 | 48 | 49.41 | odd | 14 | |||
343.2.g.h.226.4 | 48 | 7.5 | odd | 6 | |||
343.2.g.i.214.4 | 48 | 49.8 | even | 7 | |||
343.2.g.i.226.4 | 48 | 7.2 | even | 3 | |||
441.2.bb.d.235.4 | 48 | 3.2 | odd | 2 | |||
441.2.bb.d.289.4 | 48 | 147.44 | odd | 42 | |||
784.2.bg.c.289.2 | 48 | 196.191 | odd | 42 | |||
784.2.bg.c.529.2 | 48 | 4.3 | odd | 2 | |||
2401.2.a.h.1.21 | 24 | 49.32 | even | 21 | |||
2401.2.a.i.1.21 | 24 | 49.17 | odd | 42 |