Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [325,2,Mod(101,325)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(325, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("325.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 325 = 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 325.n (of order \(6\), degree \(2\), 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: | \(2.59513806569\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-7})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} - x^{2} - 2x + 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.2 | ||
Root | \(-0.895644 - 1.09445i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 325.101 |
Dual form | 325.2.n.c.251.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/325\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.89564 | − | 1.09445i | 1.34042 | − | 0.773893i | 0.353553 | − | 0.935414i | \(-0.384973\pi\) |
0.986869 | + | 0.161521i | \(0.0516399\pi\) | |||||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | 0.684819 | − | 0.728714i | \(-0.259881\pi\) |
−0.973494 | + | 0.228714i | \(0.926548\pi\) | |||||||
\(4\) | 1.39564 | − | 2.41733i | 0.697822 | − | 1.20866i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.89564 | − | 1.09445i | −0.773893 | − | 0.446808i | ||||
\(7\) | −1.50000 | − | 0.866025i | −0.566947 | − | 0.327327i | 0.188982 | − | 0.981981i | \(-0.439481\pi\) |
−0.755929 | + | 0.654654i | \(0.772814\pi\) | |||||||
\(8\) | − | 1.73205i | − | 0.612372i | ||||||
\(9\) | 1.00000 | − | 1.73205i | 0.333333 | − | 0.577350i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.29129 | − | 1.32288i | 0.690849 | − | 0.398862i | −0.113081 | − | 0.993586i | \(-0.536072\pi\) |
0.803930 | + | 0.594724i | \(0.202739\pi\) | |||||||
\(12\) | −2.79129 | −0.805775 | ||||||||
\(13\) | −1.00000 | − | 3.46410i | −0.277350 | − | 0.960769i | ||||
\(14\) | −3.79129 | −1.01326 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.895644 | + | 1.55130i | 0.223911 | + | 0.387825i | ||||
\(17\) | −2.29129 | + | 3.96863i | −0.555719 | + | 0.962533i | 0.442128 | + | 0.896952i | \(0.354224\pi\) |
−0.997847 | + | 0.0655816i | \(0.979110\pi\) | |||||||
\(18\) | − | 4.37780i | − | 1.03186i | ||||||
\(19\) | 1.50000 | + | 0.866025i | 0.344124 | + | 0.198680i | 0.662094 | − | 0.749421i | \(-0.269668\pi\) |
−0.317970 | + | 0.948101i | \(0.603001\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.73205i | 0.377964i | ||||||||
\(22\) | 2.89564 | − | 5.01540i | 0.617353 | − | 1.06929i | ||||
\(23\) | 2.29129 | + | 3.96863i | 0.477767 | + | 0.827516i | 0.999675 | − | 0.0254855i | \(-0.00811315\pi\) |
−0.521909 | + | 0.853001i | \(0.674780\pi\) | |||||||
\(24\) | −1.50000 | + | 0.866025i | −0.306186 | + | 0.176777i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −5.68693 | − | 5.47225i | −1.11530 | − | 1.07320i | ||||
\(27\) | −5.00000 | −0.962250 | ||||||||
\(28\) | −4.18693 | + | 2.41733i | −0.791256 | + | 0.456832i | ||||
\(29\) | 2.29129 | + | 3.96863i | 0.425481 | + | 0.736956i | 0.996465 | − | 0.0840058i | \(-0.0267714\pi\) |
−0.570984 | + | 0.820961i | \(0.693438\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 9.66930i | 1.73666i | 0.495988 | + | 0.868329i | \(0.334806\pi\) | ||||
−0.495988 | + | 0.868329i | \(0.665194\pi\) | |||||||
\(32\) | 6.39564 | + | 3.69253i | 1.13060 | + | 0.652753i | ||||
\(33\) | −2.29129 | − | 1.32288i | −0.398862 | − | 0.230283i | ||||
\(34\) | 10.0308i | 1.72027i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.79129 | − | 4.83465i | −0.465215 | − | 0.805775i | ||||
\(37\) | 6.87386 | − | 3.96863i | 1.13006 | − | 0.652438i | 0.186107 | − | 0.982529i | \(-0.440413\pi\) |
0.943949 | + | 0.330091i | \(0.107080\pi\) | |||||||
\(38\) | 3.79129 | 0.615028 | ||||||||
\(39\) | −2.50000 | + | 2.59808i | −0.400320 | + | 0.416025i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.29129 | + | 1.32288i | −0.357839 | + | 0.206598i | −0.668132 | − | 0.744042i | \(-0.732906\pi\) |
0.310293 | + | 0.950641i | \(0.399573\pi\) | |||||||
\(42\) | 1.89564 | + | 3.28335i | 0.292504 | + | 0.506632i | ||||
\(43\) | −0.708712 | + | 1.22753i | −0.108078 | + | 0.187196i | −0.914991 | − | 0.403473i | \(-0.867803\pi\) |
0.806914 | + | 0.590669i | \(0.201136\pi\) | |||||||
\(44\) | − | 7.38505i | − | 1.11334i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 8.68693 | + | 5.01540i | 1.28082 | + | 0.739481i | ||||
\(47\) | − | 8.75560i | − | 1.27714i | −0.769565 | − | 0.638568i | \(-0.779527\pi\) | ||
0.769565 | − | 0.638568i | \(-0.220473\pi\) | |||||||
\(48\) | 0.895644 | − | 1.55130i | 0.129275 | − | 0.223911i | ||||
\(49\) | −2.00000 | − | 3.46410i | −0.285714 | − | 0.494872i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.58258 | 0.641689 | ||||||||
\(52\) | −9.76951 | − | 2.41733i | −1.35479 | − | 0.335223i | ||||
\(53\) | −1.58258 | −0.217383 | −0.108692 | − | 0.994076i | \(-0.534666\pi\) | ||||
−0.108692 | + | 0.994076i | \(0.534666\pi\) | |||||||
\(54\) | −9.47822 | + | 5.47225i | −1.28982 | + | 0.744679i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.50000 | + | 2.59808i | −0.200446 | + | 0.347183i | ||||
\(57\) | − | 1.73205i | − | 0.229416i | ||||||
\(58\) | 8.68693 | + | 5.01540i | 1.14065 | + | 0.658555i | ||||
\(59\) | 2.91742 | + | 1.68438i | 0.379816 | + | 0.219287i | 0.677738 | − | 0.735303i | \(-0.262960\pi\) |
−0.297922 | + | 0.954590i | \(0.596294\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.29129 | − | 9.16478i | 0.677480 | − | 1.17343i | −0.298257 | − | 0.954485i | \(-0.596405\pi\) |
0.975737 | − | 0.218944i | \(-0.0702613\pi\) | |||||||
\(62\) | 10.5826 | + | 18.3296i | 1.34399 | + | 2.32786i | ||||
\(63\) | −3.00000 | + | 1.73205i | −0.377964 | + | 0.218218i | ||||
\(64\) | 12.5826 | 1.57282 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −5.79129 | −0.712858 | ||||||||
\(67\) | −12.8739 | + | 7.43273i | −1.57279 | + | 0.908052i | −0.576968 | + | 0.816767i | \(0.695764\pi\) |
−0.995825 | + | 0.0912856i | \(0.970902\pi\) | |||||||
\(68\) | 6.39564 | + | 11.0776i | 0.775586 | + | 1.34335i | ||||
\(69\) | 2.29129 | − | 3.96863i | 0.275839 | − | 0.477767i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.08258 | − | 1.77973i | −0.365834 | − | 0.211215i | 0.305803 | − | 0.952095i | \(-0.401075\pi\) |
−0.671637 | + | 0.740880i | \(0.734409\pi\) | |||||||
\(72\) | −3.00000 | − | 1.73205i | −0.353553 | − | 0.204124i | ||||
\(73\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(74\) | 8.68693 | − | 15.0462i | 1.00984 | − | 1.74909i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.18693 | − | 2.41733i | 0.480274 | − | 0.277286i | ||||
\(77\) | −4.58258 | −0.522233 | ||||||||
\(78\) | −1.89564 | + | 7.66115i | −0.214639 | + | 0.867455i | ||||
\(79\) | −6.00000 | −0.675053 | −0.337526 | − | 0.941316i | \(-0.609590\pi\) | ||||
−0.337526 | + | 0.941316i | \(0.609590\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −2.89564 | + | 5.01540i | −0.319770 | + | 0.553859i | ||||
\(83\) | 11.3060i | 1.24100i | 0.784208 | + | 0.620498i | \(0.213069\pi\) | ||||
−0.784208 | + | 0.620498i | \(0.786931\pi\) | |||||||
\(84\) | 4.18693 | + | 2.41733i | 0.456832 | + | 0.263752i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 3.10260i | 0.334562i | ||||||||
\(87\) | 2.29129 | − | 3.96863i | 0.245652 | − | 0.425481i | ||||
\(88\) | −2.29129 | − | 3.96863i | −0.244252 | − | 0.423057i | ||||
\(89\) | −3.70871 | + | 2.14123i | −0.393123 | + | 0.226969i | −0.683512 | − | 0.729939i | \(-0.739548\pi\) |
0.290390 | + | 0.956909i | \(0.406215\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.50000 | + | 6.06218i | −0.157243 | + | 0.635489i | ||||
\(92\) | 12.7913 | 1.33358 | ||||||||
\(93\) | 8.37386 | − | 4.83465i | 0.868329 | − | 0.501330i | ||||
\(94\) | −9.58258 | − | 16.5975i | −0.988367 | − | 1.71190i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | − | 7.38505i | − | 0.753734i | ||||||
\(97\) | 3.87386 | + | 2.23658i | 0.393331 | + | 0.227090i | 0.683603 | − | 0.729854i | \(-0.260412\pi\) |
−0.290271 | + | 0.956944i | \(0.593746\pi\) | |||||||
\(98\) | −7.58258 | − | 4.37780i | −0.765956 | − | 0.442225i | ||||
\(99\) | − | 5.29150i | − | 0.531816i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −4.50000 | − | 7.79423i | −0.447767 | − | 0.775555i | 0.550474 | − | 0.834853i | \(-0.314447\pi\) |
−0.998240 | + | 0.0592978i | \(0.981114\pi\) | |||||||
\(102\) | 8.68693 | − | 5.01540i | 0.860134 | − | 0.496599i | ||||
\(103\) | −15.1652 | −1.49427 | −0.747133 | − | 0.664674i | \(-0.768570\pi\) | ||||
−0.747133 | + | 0.664674i | \(0.768570\pi\) | |||||||
\(104\) | −6.00000 | + | 1.73205i | −0.588348 | + | 0.169842i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.00000 | + | 1.73205i | −0.291386 | + | 0.168232i | ||||
\(107\) | 0.708712 | + | 1.22753i | 0.0685138 | + | 0.118669i | 0.898247 | − | 0.439490i | \(-0.144841\pi\) |
−0.829733 | + | 0.558160i | \(0.811508\pi\) | |||||||
\(108\) | −6.97822 | + | 12.0866i | −0.671479 | + | 1.16304i | ||||
\(109\) | 2.74110i | 0.262550i | 0.991346 | + | 0.131275i | \(0.0419071\pi\) | ||||
−0.991346 | + | 0.131275i | \(0.958093\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −6.87386 | − | 3.96863i | −0.652438 | − | 0.376685i | ||||
\(112\) | − | 3.10260i | − | 0.293168i | ||||||
\(113\) | 8.29129 | − | 14.3609i | 0.779979 | − | 1.35096i | −0.151975 | − | 0.988384i | \(-0.548563\pi\) |
0.931953 | − | 0.362578i | \(-0.118103\pi\) | |||||||
\(114\) | −1.89564 | − | 3.28335i | −0.177543 | − | 0.307514i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 12.7913 | 1.18764 | ||||||||
\(117\) | −7.00000 | − | 1.73205i | −0.647150 | − | 0.160128i | ||||
\(118\) | 7.37386 | 0.678819 | ||||||||
\(119\) | 6.87386 | − | 3.96863i | 0.630126 | − | 0.363803i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.00000 | + | 3.46410i | −0.181818 | + | 0.314918i | ||||
\(122\) | − | 23.1642i | − | 2.09719i | ||||||
\(123\) | 2.29129 | + | 1.32288i | 0.206598 | + | 0.119280i | ||||
\(124\) | 23.3739 | + | 13.4949i | 2.09903 | + | 1.21188i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −3.79129 | + | 6.56670i | −0.337755 | + | 0.585008i | ||||
\(127\) | 4.87386 | + | 8.44178i | 0.432485 | + | 0.749087i | 0.997087 | − | 0.0762771i | \(-0.0243033\pi\) |
−0.564601 | + | 0.825364i | \(0.690970\pi\) | |||||||
\(128\) | 11.0608 | − | 6.38595i | 0.977645 | − | 0.564444i | ||||
\(129\) | 1.41742 | 0.124797 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.58258 | 0.138270 | 0.0691351 | − | 0.997607i | \(-0.477976\pi\) | ||||
0.0691351 | + | 0.997607i | \(0.477976\pi\) | |||||||
\(132\) | −6.39564 | + | 3.69253i | −0.556669 | + | 0.321393i | ||||
\(133\) | −1.50000 | − | 2.59808i | −0.130066 | − | 0.225282i | ||||
\(134\) | −16.2695 | + | 28.1796i | −1.40547 | + | 2.43435i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.87386 | + | 3.96863i | 0.589429 | + | 0.340307i | ||||
\(137\) | −0.0825757 | − | 0.0476751i | −0.00705492 | − | 0.00407316i | 0.496468 | − | 0.868055i | \(-0.334630\pi\) |
−0.503523 | + | 0.863982i | \(0.667963\pi\) | |||||||
\(138\) | − | 10.0308i | − | 0.853879i | ||||||
\(139\) | −2.87386 | + | 4.97768i | −0.243758 | + | 0.422201i | −0.961782 | − | 0.273817i | \(-0.911714\pi\) |
0.718024 | + | 0.696019i | \(0.245047\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −7.58258 | + | 4.37780i | −0.638568 | + | 0.368677i | ||||
\(142\) | −7.79129 | −0.653830 | ||||||||
\(143\) | −6.87386 | − | 6.61438i | −0.574821 | − | 0.553122i | ||||
\(144\) | 3.58258 | 0.298548 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.00000 | + | 3.46410i | −0.164957 | + | 0.285714i | ||||
\(148\) | − | 22.1552i | − | 1.82114i | ||||||
\(149\) | −8.45644 | − | 4.88233i | −0.692778 | − | 0.399976i | 0.111874 | − | 0.993722i | \(-0.464315\pi\) |
−0.804652 | + | 0.593747i | \(0.797648\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 6.20520i | − | 0.504972i | −0.967601 | − | 0.252486i | \(-0.918752\pi\) | ||
0.967601 | − | 0.252486i | \(-0.0812482\pi\) | |||||||
\(152\) | 1.50000 | − | 2.59808i | 0.121666 | − | 0.210732i | ||||
\(153\) | 4.58258 | + | 7.93725i | 0.370479 | + | 0.641689i | ||||
\(154\) | −8.68693 | + | 5.01540i | −0.700013 | + | 0.404153i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.79129 | + | 9.66930i | 0.223482 | + | 0.774164i | ||||
\(157\) | −9.16515 | −0.731459 | −0.365729 | − | 0.930721i | \(-0.619180\pi\) | ||||
−0.365729 | + | 0.930721i | \(0.619180\pi\) | |||||||
\(158\) | −11.3739 | + | 6.56670i | −0.904856 | + | 0.522419i | ||||
\(159\) | 0.791288 | + | 1.37055i | 0.0627532 | + | 0.108692i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 7.93725i | − | 0.625543i | ||||||
\(162\) | −1.89564 | − | 1.09445i | −0.148936 | − | 0.0859882i | ||||
\(163\) | 9.24773 | + | 5.33918i | 0.724338 | + | 0.418197i | 0.816347 | − | 0.577561i | \(-0.195996\pi\) |
−0.0920093 | + | 0.995758i | \(0.529329\pi\) | |||||||
\(164\) | 7.38505i | 0.576676i | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.3739 | + | 21.4322i | 0.960398 | + | 1.66346i | ||||
\(167\) | 3.70871 | − | 2.14123i | 0.286989 | − | 0.165693i | −0.349594 | − | 0.936901i | \(-0.613681\pi\) |
0.636583 | + | 0.771208i | \(0.280347\pi\) | |||||||
\(168\) | 3.00000 | 0.231455 | ||||||||
\(169\) | −11.0000 | + | 6.92820i | −0.846154 | + | 0.532939i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.00000 | − | 1.73205i | 0.229416 | − | 0.132453i | ||||
\(172\) | 1.97822 | + | 3.42638i | 0.150838 | + | 0.261259i | ||||
\(173\) | 3.70871 | − | 6.42368i | 0.281968 | − | 0.488383i | −0.689901 | − | 0.723903i | \(-0.742346\pi\) |
0.971869 | + | 0.235520i | \(0.0756794\pi\) | |||||||
\(174\) | − | 10.0308i | − | 0.760433i | ||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 4.10436 | + | 2.36965i | 0.309377 | + | 0.178619i | ||||
\(177\) | − | 3.36875i | − | 0.253211i | ||||||
\(178\) | −4.68693 | + | 8.11800i | −0.351300 | + | 0.608470i | ||||
\(179\) | 0.0825757 | + | 0.143025i | 0.00617200 | + | 0.0106902i | 0.869095 | − | 0.494645i | \(-0.164702\pi\) |
−0.862923 | + | 0.505336i | \(0.831369\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −18.7477 | −1.39351 | −0.696754 | − | 0.717310i | \(-0.745373\pi\) | ||||
−0.696754 | + | 0.717310i | \(0.745373\pi\) | |||||||
\(182\) | 3.79129 | + | 13.1334i | 0.281029 | + | 0.973513i | ||||
\(183\) | −10.5826 | −0.782287 | ||||||||
\(184\) | 6.87386 | − | 3.96863i | 0.506748 | − | 0.292571i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 10.5826 | − | 18.3296i | 0.775952 | − | 1.34399i | ||||
\(187\) | 12.1244i | 0.886621i | ||||||||
\(188\) | −21.1652 | − | 12.2197i | −1.54363 | − | 0.891214i | ||||
\(189\) | 7.50000 | + | 4.33013i | 0.545545 | + | 0.314970i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.70871 | − | 6.42368i | 0.268353 | − | 0.464801i | −0.700084 | − | 0.714061i | \(-0.746854\pi\) |
0.968437 | + | 0.249260i | \(0.0801873\pi\) | |||||||
\(192\) | −6.29129 | − | 10.8968i | −0.454035 | − | 0.786411i | ||||
\(193\) | −0.873864 | + | 0.504525i | −0.0629021 | + | 0.0363165i | −0.531121 | − | 0.847296i | \(-0.678229\pi\) |
0.468219 | + | 0.883612i | \(0.344896\pi\) | |||||||
\(194\) | 9.79129 | 0.702973 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −11.1652 | −0.797511 | ||||||||
\(197\) | 17.2913 | − | 9.98313i | 1.23195 | − | 0.711269i | 0.264516 | − | 0.964381i | \(-0.414788\pi\) |
0.967437 | + | 0.253113i | \(0.0814543\pi\) | |||||||
\(198\) | −5.79129 | − | 10.0308i | −0.411569 | − | 0.712858i | ||||
\(199\) | −0.708712 | + | 1.22753i | −0.0502393 | + | 0.0870170i | −0.890051 | − | 0.455860i | \(-0.849332\pi\) |
0.839812 | + | 0.542877i | \(0.182665\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 12.8739 | + | 7.43273i | 0.908052 | + | 0.524264i | ||||
\(202\) | −17.0608 | − | 9.85005i | −1.20039 | − | 0.693047i | ||||
\(203\) | − | 7.93725i | − | 0.557086i | ||||||
\(204\) | 6.39564 | − | 11.0776i | 0.447785 | − | 0.775586i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −28.7477 | + | 16.5975i | −2.00295 | + | 1.15640i | ||||
\(207\) | 9.16515 | 0.637022 | ||||||||
\(208\) | 4.47822 | − | 4.65390i | 0.310509 | − | 0.322690i | ||||
\(209\) | 4.58258 | 0.316983 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.08258 | − | 15.7315i | −0.625270 | − | 1.08300i | −0.988489 | − | 0.151296i | \(-0.951655\pi\) |
0.363218 | − | 0.931704i | \(-0.381678\pi\) | |||||||
\(212\) | −2.20871 | + | 3.82560i | −0.151695 | + | 0.262743i | ||||
\(213\) | 3.55945i | 0.243890i | ||||||||
\(214\) | 2.68693 | + | 1.55130i | 0.183675 | + | 0.106045i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 8.66025i | 0.589256i | ||||||||
\(217\) | 8.37386 | − | 14.5040i | 0.568455 | − | 0.984593i | ||||
\(218\) | 3.00000 | + | 5.19615i | 0.203186 | + | 0.351928i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 16.0390 | + | 3.96863i | 1.07890 | + | 0.266959i | ||||
\(222\) | −17.3739 | −1.16606 | ||||||||
\(223\) | −7.50000 | + | 4.33013i | −0.502237 | + | 0.289967i | −0.729637 | − | 0.683835i | \(-0.760311\pi\) |
0.227400 | + | 0.973801i | \(0.426978\pi\) | |||||||
\(224\) | −6.39564 | − | 11.0776i | −0.427327 | − | 0.740152i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | − | 36.2976i | − | 2.41448i | ||||||
\(227\) | 5.29129 | + | 3.05493i | 0.351195 | + | 0.202763i | 0.665212 | − | 0.746655i | \(-0.268341\pi\) |
−0.314016 | + | 0.949418i | \(0.601675\pi\) | |||||||
\(228\) | −4.18693 | − | 2.41733i | −0.277286 | − | 0.160091i | ||||
\(229\) | − | 5.48220i | − | 0.362274i | −0.983458 | − | 0.181137i | \(-0.942022\pi\) | ||
0.983458 | − | 0.181137i | \(-0.0579778\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.29129 | + | 3.96863i | 0.150756 | + | 0.261116i | ||||
\(232\) | 6.87386 | − | 3.96863i | 0.451291 | − | 0.260553i | ||||
\(233\) | 21.1652 | 1.38658 | 0.693288 | − | 0.720661i | \(-0.256162\pi\) | ||||
0.693288 | + | 0.720661i | \(0.256162\pi\) | |||||||
\(234\) | −15.1652 | + | 4.37780i | −0.991377 | + | 0.286186i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 8.14337 | − | 4.70158i | 0.530088 | − | 0.306047i | ||||
\(237\) | 3.00000 | + | 5.19615i | 0.194871 | + | 0.337526i | ||||
\(238\) | 8.68693 | − | 15.0462i | 0.563090 | − | 0.975301i | ||||
\(239\) | − | 20.9753i | − | 1.35678i | −0.734702 | − | 0.678390i | \(-0.762678\pi\) | ||
0.734702 | − | 0.678390i | \(-0.237322\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.50000 | − | 0.866025i | −0.0966235 | − | 0.0557856i | 0.450910 | − | 0.892570i | \(-0.351100\pi\) |
−0.547533 | + | 0.836784i | \(0.684433\pi\) | |||||||
\(242\) | 8.75560i | 0.562832i | ||||||||
\(243\) | −8.00000 | + | 13.8564i | −0.513200 | + | 0.888889i | ||||
\(244\) | −14.7695 | − | 25.5815i | −0.945521 | − | 1.63769i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 5.79129 | 0.369239 | ||||||||
\(247\) | 1.50000 | − | 6.06218i | 0.0954427 | − | 0.385727i | ||||
\(248\) | 16.7477 | 1.06348 | ||||||||
\(249\) | 9.79129 | − | 5.65300i | 0.620498 | − | 0.358244i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −9.08258 | + | 15.7315i | −0.573287 | + | 0.992962i | 0.422938 | + | 0.906158i | \(0.360999\pi\) |
−0.996225 | + | 0.0868039i | \(0.972335\pi\) | |||||||
\(252\) | 9.66930i | 0.609109i | ||||||||
\(253\) | 10.5000 | + | 6.06218i | 0.660129 | + | 0.381126i | ||||
\(254\) | 18.4782 | + | 10.6684i | 1.15943 | + | 0.669395i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.39564 | − | 2.41733i | 0.0872277 | − | 0.151083i | ||||
\(257\) | −0.0825757 | − | 0.143025i | −0.00515093 | − | 0.00892167i | 0.863438 | − | 0.504454i | \(-0.168306\pi\) |
−0.868589 | + | 0.495533i | \(0.834973\pi\) | |||||||
\(258\) | 2.68693 | − | 1.55130i | 0.167281 | − | 0.0965798i | ||||
\(259\) | −13.7477 | −0.854242 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 9.16515 | 0.567309 | ||||||||
\(262\) | 3.00000 | − | 1.73205i | 0.185341 | − | 0.107006i | ||||
\(263\) | −4.50000 | − | 7.79423i | −0.277482 | − | 0.480613i | 0.693276 | − | 0.720672i | \(-0.256167\pi\) |
−0.970758 | + | 0.240059i | \(0.922833\pi\) | |||||||
\(264\) | −2.29129 | + | 3.96863i | −0.141019 | + | 0.244252i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −5.68693 | − | 3.28335i | −0.348688 | − | 0.201315i | ||||
\(267\) | 3.70871 | + | 2.14123i | 0.226969 | + | 0.131041i | ||||
\(268\) | 41.4938i | 2.53464i | ||||||||
\(269\) | 7.50000 | − | 12.9904i | 0.457283 | − | 0.792038i | −0.541533 | − | 0.840679i | \(-0.682156\pi\) |
0.998816 | + | 0.0486418i | \(0.0154893\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.50000 | − | 4.33013i | 0.455593 | − | 0.263036i | −0.254597 | − | 0.967047i | \(-0.581943\pi\) |
0.710189 | + | 0.704011i | \(0.248609\pi\) | |||||||
\(272\) | −8.20871 | −0.497726 | ||||||||
\(273\) | 6.00000 | − | 1.73205i | 0.363137 | − | 0.104828i | ||||
\(274\) | −0.208712 | −0.0126088 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −6.39564 | − | 11.0776i | −0.384973 | − | 0.666792i | ||||
\(277\) | 8.29129 | − | 14.3609i | 0.498175 | − | 0.862865i | −0.501823 | − | 0.864971i | \(-0.667337\pi\) |
0.999998 | + | 0.00210581i | \(0.000670301\pi\) | |||||||
\(278\) | 12.5812i | 0.754571i | ||||||||
\(279\) | 16.7477 | + | 9.66930i | 1.00266 | + | 0.578886i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 17.5112i | 1.04463i | 0.852752 | + | 0.522316i | \(0.174932\pi\) | ||||
−0.852752 | + | 0.522316i | \(0.825068\pi\) | |||||||
\(282\) | −9.58258 | + | 16.5975i | −0.570634 | + | 0.988367i | ||||
\(283\) | 0.126136 | + | 0.218475i | 0.00749803 | + | 0.0129870i | 0.869750 | − | 0.493492i | \(-0.164280\pi\) |
−0.862252 | + | 0.506479i | \(0.830947\pi\) | |||||||
\(284\) | −8.60436 | + | 4.96773i | −0.510575 | + | 0.294780i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −20.2695 | − | 5.01540i | −1.19856 | − | 0.296567i | ||||
\(287\) | 4.58258 | 0.270501 | ||||||||
\(288\) | 12.7913 | − | 7.38505i | 0.753734 | − | 0.435168i | ||||
\(289\) | −2.00000 | − | 3.46410i | −0.117647 | − | 0.203771i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 4.47315i | − | 0.262221i | ||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 20.2913 | + | 11.7152i | 1.18543 | + | 0.684408i | 0.957264 | − | 0.289214i | \(-0.0933940\pi\) |
0.228165 | + | 0.973622i | \(0.426727\pi\) | |||||||
\(294\) | 8.75560i | 0.510637i | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −6.87386 | − | 11.9059i | −0.399535 | − | 0.692015i | ||||
\(297\) | −11.4564 | + | 6.61438i | −0.664770 | + | 0.383805i | ||||
\(298\) | −21.3739 | −1.23815 | ||||||||
\(299\) | 11.4564 | − | 11.9059i | 0.662543 | − | 0.688535i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.12614 | − | 1.22753i | 0.122548 | − | 0.0707534i | ||||
\(302\) | −6.79129 | − | 11.7629i | −0.390795 | − | 0.676876i | ||||
\(303\) | −4.50000 | + | 7.79423i | −0.258518 | + | 0.447767i | ||||
\(304\) | 3.10260i | 0.177946i | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 17.3739 | + | 10.0308i | 0.993198 | + | 0.573423i | ||||
\(307\) | 24.2487i | 1.38395i | 0.721923 | + | 0.691974i | \(0.243259\pi\) | ||||
−0.721923 | + | 0.691974i | \(0.756741\pi\) | |||||||
\(308\) | −6.39564 | + | 11.0776i | −0.364426 | + | 0.631204i | ||||
\(309\) | 7.58258 | + | 13.1334i | 0.431358 | + | 0.747133i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.58258 | −0.0897396 | −0.0448698 | − | 0.998993i | \(-0.514287\pi\) | ||||
−0.0448698 | + | 0.998993i | \(0.514287\pi\) | |||||||
\(312\) | 4.50000 | + | 4.33013i | 0.254762 | + | 0.245145i | ||||
\(313\) | −30.7477 | −1.73796 | −0.868982 | − | 0.494843i | \(-0.835225\pi\) | ||||
−0.868982 | + | 0.494843i | \(0.835225\pi\) | |||||||
\(314\) | −17.3739 | + | 10.0308i | −0.980464 | + | 0.566071i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −8.37386 | + | 14.5040i | −0.471067 | + | 0.815911i | ||||
\(317\) | 20.9753i | 1.17809i | 0.808100 | + | 0.589045i | \(0.200496\pi\) | ||||
−0.808100 | + | 0.589045i | \(0.799504\pi\) | |||||||
\(318\) | 3.00000 | + | 1.73205i | 0.168232 | + | 0.0971286i | ||||
\(319\) | 10.5000 | + | 6.06218i | 0.587887 | + | 0.339417i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.708712 | − | 1.22753i | 0.0395565 | − | 0.0685138i | ||||
\(322\) | −8.68693 | − | 15.0462i | −0.484104 | − | 0.838492i | ||||
\(323\) | −6.87386 | + | 3.96863i | −0.382472 | + | 0.220820i | ||||
\(324\) | −2.79129 | −0.155072 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 23.3739 | 1.29456 | ||||||||
\(327\) | 2.37386 | − | 1.37055i | 0.131275 | − | 0.0757916i | ||||
\(328\) | 2.29129 | + | 3.96863i | 0.126515 | + | 0.219131i | ||||
\(329\) | −7.58258 | + | 13.1334i | −0.418041 | + | 0.724068i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.87386 | + | 5.70068i | 0.542717 | + | 0.313338i | 0.746179 | − | 0.665745i | \(-0.231886\pi\) |
−0.203463 | + | 0.979083i | \(0.565220\pi\) | |||||||
\(332\) | 27.3303 | + | 15.7792i | 1.49995 | + | 0.865994i | ||||
\(333\) | − | 15.8745i | − | 0.869918i | ||||||
\(334\) | 4.68693 | − | 8.11800i | 0.256457 | − | 0.444197i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −2.68693 | + | 1.55130i | −0.146584 | + | 0.0846304i | ||||
\(337\) | 3.25227 | 0.177163 | 0.0885813 | − | 0.996069i | \(-0.471767\pi\) | ||||
0.0885813 | + | 0.996069i | \(0.471767\pi\) | |||||||
\(338\) | −13.2695 | + | 25.1724i | −0.721766 | + | 1.36920i | ||||
\(339\) | −16.5826 | −0.900642 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.7913 | + | 22.1552i | 0.692687 | + | 1.19977i | ||||
\(342\) | 3.79129 | − | 6.56670i | 0.205009 | − | 0.355087i | ||||
\(343\) | 19.0526i | 1.02874i | ||||||||
\(344\) | 2.12614 | + | 1.22753i | 0.114634 | + | 0.0661837i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 16.2360i | − | 0.872853i | ||||||
\(347\) | −7.66515 | + | 13.2764i | −0.411487 | + | 0.712716i | −0.995053 | − | 0.0993497i | \(-0.968324\pi\) |
0.583566 | + | 0.812066i | \(0.301657\pi\) | |||||||
\(348\) | −6.39564 | − | 11.0776i | −0.342843 | − | 0.593821i | ||||
\(349\) | −15.8739 | + | 9.16478i | −0.849708 | + | 0.490579i | −0.860552 | − | 0.509362i | \(-0.829882\pi\) |
0.0108440 | + | 0.999941i | \(0.496548\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.00000 | + | 17.3205i | 0.266880 | + | 0.924500i | ||||
\(352\) | 19.5390 | 1.04143 | ||||||||
\(353\) | 15.0826 | − | 8.70793i | 0.802765 | − | 0.463476i | −0.0416724 | − | 0.999131i | \(-0.513269\pi\) |
0.844437 | + | 0.535655i | \(0.179935\pi\) | |||||||
\(354\) | −3.68693 | − | 6.38595i | −0.195958 | − | 0.339410i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 11.9536i | 0.633537i | ||||||||
\(357\) | −6.87386 | − | 3.96863i | −0.363803 | − | 0.210042i | ||||
\(358\) | 0.313068 | + | 0.180750i | 0.0165462 | + | 0.00955294i | ||||
\(359\) | 33.3857i | 1.76203i | 0.473088 | + | 0.881015i | \(0.343139\pi\) | ||||
−0.473088 | + | 0.881015i | \(0.656861\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.00000 | − | 13.8564i | −0.421053 | − | 0.729285i | ||||
\(362\) | −35.5390 | + | 20.5185i | −1.86789 | + | 1.07843i | ||||
\(363\) | 4.00000 | 0.209946 | ||||||||
\(364\) | 12.5608 | + | 12.0866i | 0.658365 | + | 0.633512i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −20.0608 | + | 11.5821i | −1.04859 | + | 0.605406i | ||||
\(367\) | −12.8739 | − | 22.2982i | −0.672010 | − | 1.16396i | −0.977333 | − | 0.211707i | \(-0.932098\pi\) |
0.305323 | − | 0.952249i | \(-0.401236\pi\) | |||||||
\(368\) | −4.10436 | + | 7.10895i | −0.213954 | + | 0.370580i | ||||
\(369\) | 5.29150i | 0.275465i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.37386 | + | 1.37055i | 0.123245 | + | 0.0711554i | ||||
\(372\) | − | 26.9898i | − | 1.39936i | ||||||
\(373\) | 6.50000 | − | 11.2583i | 0.336557 | − | 0.582934i | −0.647225 | − | 0.762299i | \(-0.724071\pi\) |
0.983783 | + | 0.179364i | \(0.0574041\pi\) | |||||||
\(374\) | 13.2695 | + | 22.9835i | 0.686150 | + | 1.18845i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −15.1652 | −0.782083 | ||||||||
\(377\) | 11.4564 | − | 11.9059i | 0.590037 | − | 0.613184i | ||||
\(378\) | 18.9564 | 0.975014 | ||||||||
\(379\) | −18.2477 | + | 10.5353i | −0.937323 | + | 0.541164i | −0.889120 | − | 0.457674i | \(-0.848683\pi\) |
−0.0482027 | + | 0.998838i | \(0.515349\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.87386 | − | 8.44178i | 0.249696 | − | 0.432485i | ||||
\(382\) | − | 16.2360i | − | 0.830706i | ||||||
\(383\) | 2.45644 | + | 1.41823i | 0.125518 | + | 0.0724680i | 0.561444 | − | 0.827514i | \(-0.310246\pi\) |
−0.435926 | + | 0.899982i | \(0.643579\pi\) | |||||||
\(384\) | −11.0608 | − | 6.38595i | −0.564444 | − | 0.325882i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −1.10436 | + | 1.91280i | −0.0562102 | + | 0.0973590i | ||||
\(387\) | 1.41742 | + | 2.45505i | 0.0720517 | + | 0.124797i | ||||
\(388\) | 10.8131 | − | 6.24293i | 0.548950 | − | 0.316937i | ||||
\(389\) | 15.1652 | 0.768904 | 0.384452 | − | 0.923145i | \(-0.374390\pi\) | ||||
0.384452 | + | 0.923145i | \(0.374390\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −21.0000 | −1.06202 | ||||||||
\(392\) | −6.00000 | + | 3.46410i | −0.303046 | + | 0.174964i | ||||
\(393\) | −0.791288 | − | 1.37055i | −0.0399152 | − | 0.0691351i | ||||
\(394\) | 21.8521 | − | 37.8489i | 1.10089 | − | 1.90680i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −12.7913 | − | 7.38505i | −0.642786 | − | 0.371113i | ||||
\(397\) | 23.6216 | + | 13.6379i | 1.18553 | + | 0.684468i | 0.957288 | − | 0.289135i | \(-0.0933678\pi\) |
0.228245 | + | 0.973604i | \(0.426701\pi\) | |||||||
\(398\) | 3.10260i | 0.155519i | ||||||||
\(399\) | −1.50000 | + | 2.59808i | −0.0750939 | + | 0.130066i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 10.8303 | − | 6.25288i | 0.540840 | − | 0.312254i | −0.204580 | − | 0.978850i | \(-0.565583\pi\) |
0.745419 | + | 0.666596i | \(0.232249\pi\) | |||||||
\(402\) | 32.5390 | 1.62290 | ||||||||
\(403\) | 33.4955 | − | 9.66930i | 1.66853 | − | 0.481662i | ||||
\(404\) | −25.1216 | −1.24985 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −8.68693 | − | 15.0462i | −0.431125 | − | 0.746731i | ||||
\(407\) | 10.5000 | − | 18.1865i | 0.520466 | − | 0.901473i | ||||
\(408\) | − | 7.93725i | − | 0.392953i | ||||||
\(409\) | −7.50000 | − | 4.33013i | −0.370851 | − | 0.214111i | 0.302979 | − | 0.952997i | \(-0.402019\pi\) |
−0.673830 | + | 0.738886i | \(0.735352\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.0953502i | 0.00470328i | ||||||||
\(412\) | −21.1652 | + | 36.6591i | −1.04273 | + | 1.80607i | ||||
\(413\) | −2.91742 | − | 5.05313i | −0.143557 | − | 0.248648i | ||||
\(414\) | 17.3739 | − | 10.0308i | 0.853879 | − | 0.492987i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 6.39564 | − | 25.8477i | 0.313572 | − | 1.26729i | ||||
\(417\) | 5.74773 | 0.281467 | ||||||||
\(418\) | 8.68693 | − | 5.01540i | 0.424892 | − | 0.245311i | ||||
\(419\) | 12.0826 | + | 20.9276i | 0.590272 | + | 1.02238i | 0.994195 | + | 0.107589i | \(0.0343130\pi\) |
−0.403923 | + | 0.914793i | \(0.632354\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.2668i | 1.28017i | 0.768306 | + | 0.640083i | \(0.221100\pi\) | ||||
−0.768306 | + | 0.640083i | \(0.778900\pi\) | |||||||
\(422\) | −34.4347 | − | 19.8809i | −1.67625 | − | 0.967785i | ||||
\(423\) | −15.1652 | − | 8.75560i | −0.737355 | − | 0.425712i | ||||
\(424\) | 2.74110i | 0.133120i | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 3.89564 | + | 6.74745i | 0.188745 | + | 0.326915i | ||||
\(427\) | −15.8739 | + | 9.16478i | −0.768190 | + | 0.443515i | ||||
\(428\) | 3.95644 | 0.191242 | ||||||||
\(429\) | −2.29129 | + | 9.26013i | −0.110624 | + | 0.447083i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 25.6652 | − | 14.8178i | 1.23625 | − | 0.713747i | 0.267922 | − | 0.963441i | \(-0.413663\pi\) |
0.968325 | + | 0.249693i | \(0.0803298\pi\) | |||||||
\(432\) | −4.47822 | − | 7.75650i | −0.215458 | − | 0.373185i | ||||
\(433\) | 8.87386 | − | 15.3700i | 0.426451 | − | 0.738634i | −0.570104 | − | 0.821573i | \(-0.693097\pi\) |
0.996555 | + | 0.0829383i | \(0.0264304\pi\) | |||||||
\(434\) | − | 36.6591i | − | 1.75969i | ||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.62614 | + | 3.82560i | 0.317334 | + | 0.183213i | ||||
\(437\) | 7.93725i | 0.379690i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −20.2477 | − | 35.0701i | −0.966371 | − | 1.67380i | −0.705885 | − | 0.708327i | \(-0.749450\pi\) |
−0.260487 | − | 0.965477i | \(-0.583883\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −8.00000 | −0.380952 | ||||||||
\(442\) | 34.7477 | − | 10.0308i | 1.65278 | − | 0.477117i | ||||
\(443\) | −25.9129 | −1.23116 | −0.615579 | − | 0.788075i | \(-0.711078\pi\) | ||||
−0.615579 | + | 0.788075i | \(0.711078\pi\) | |||||||
\(444\) | −19.1869 | + | 11.0776i | −0.910571 | + | 0.525719i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −9.47822 | + | 16.4168i | −0.448807 | + | 0.777356i | ||||
\(447\) | 9.76465i | 0.461852i | ||||||||
\(448\) | −18.8739 | − | 10.8968i | −0.891706 | − | 0.514827i | ||||
\(449\) | −32.4564 | − | 18.7387i | −1.53171 | − | 0.884336i | −0.999283 | − | 0.0378622i | \(-0.987945\pi\) |
−0.532431 | − | 0.846473i | \(-0.678721\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.50000 | + | 6.06218i | −0.164809 | + | 0.285457i | ||||
\(452\) | −23.1434 | − | 40.0855i | −1.08857 | − | 1.88546i | ||||
\(453\) | −5.37386 | + | 3.10260i | −0.252486 | + | 0.145773i | ||||
\(454\) | 13.3739 | 0.627667 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.00000 | −0.140488 | ||||||||
\(457\) | −1.50000 | + | 0.866025i | −0.0701670 | + | 0.0405110i | −0.534673 | − | 0.845059i | \(-0.679565\pi\) |
0.464506 | + | 0.885570i | \(0.346232\pi\) | |||||||
\(458\) | −6.00000 | − | 10.3923i | −0.280362 | − | 0.485601i | ||||
\(459\) | 11.4564 | − | 19.8431i | 0.534741 | − | 0.926198i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.03901 | − | 0.599876i | −0.0483917 | − | 0.0279390i | 0.475609 | − | 0.879657i | \(-0.342228\pi\) |
−0.524001 | + | 0.851718i | \(0.675561\pi\) | |||||||
\(462\) | 8.68693 | + | 5.01540i | 0.404153 | + | 0.233338i | ||||
\(463\) | 8.22330i | 0.382169i | 0.981574 | + | 0.191085i | \(0.0612005\pi\) | ||||
−0.981574 | + | 0.191085i | \(0.938799\pi\) | |||||||
\(464\) | −4.10436 | + | 7.10895i | −0.190540 | + | 0.330025i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 40.1216 | − | 23.1642i | 1.85860 | − | 1.07306i | ||||
\(467\) | 12.3303 | 0.570578 | 0.285289 | − | 0.958441i | \(-0.407910\pi\) | ||||
0.285289 | + | 0.958441i | \(0.407910\pi\) | |||||||
\(468\) | −13.9564 | + | 14.5040i | −0.645137 | + | 0.670446i | ||||
\(469\) | 25.7477 | 1.18892 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 4.58258 | + | 7.93725i | 0.211154 | + | 0.365729i | ||||
\(472\) | 2.91742 | − | 5.05313i | 0.134285 | − | 0.232589i | ||||
\(473\) | 3.75015i | 0.172432i | ||||||||
\(474\) | 11.3739 | + | 6.56670i | 0.522419 | + | 0.301619i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | − | 22.1552i | − | 1.01548i | ||||||
\(477\) | −1.58258 | + | 2.74110i | −0.0724612 | + | 0.125506i | ||||
\(478\) | −22.9564 | − | 39.7617i | −1.05000 | − | 1.81866i | ||||
\(479\) | 28.0390 | − | 16.1883i | 1.28114 | − | 0.739664i | 0.304079 | − | 0.952647i | \(-0.401651\pi\) |
0.977056 | + | 0.212983i | \(0.0683179\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −20.6216 | − | 19.8431i | −0.940264 | − | 0.904769i | ||||
\(482\) | −3.79129 | −0.172688 | ||||||||
\(483\) | −6.87386 | + | 3.96863i | −0.312772 | + | 0.180579i | ||||
\(484\) | 5.58258 | + | 9.66930i | 0.253753 | + | 0.439514i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 35.0224i | 1.58865i | ||||||||
\(487\) | −18.2477 | − | 10.5353i | −0.826883 | − | 0.477401i | 0.0259009 | − | 0.999665i | \(-0.491755\pi\) |
−0.852784 | + | 0.522263i | \(0.825088\pi\) | |||||||
\(488\) | −15.8739 | − | 9.16478i | −0.718576 | − | 0.414870i | ||||
\(489\) | − | 10.6784i | − | 0.482892i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −14.2913 | − | 24.7532i | −0.644957 | − | 1.11710i | −0.984311 | − | 0.176439i | \(-0.943542\pi\) |
0.339355 | − | 0.940658i | \(-0.389791\pi\) | |||||||
\(492\) | 6.39564 | − | 3.69253i | 0.288338 | − | 0.166472i | ||||
\(493\) | −21.0000 | −0.945792 | ||||||||
\(494\) | −3.79129 | − | 13.1334i | −0.170578 | − | 0.590900i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −15.0000 | + | 8.66025i | −0.673520 | + | 0.388857i | ||||
\(497\) | 3.08258 | + | 5.33918i | 0.138272 | + | 0.239495i | ||||
\(498\) | 12.3739 | − | 21.4322i | 0.554486 | − | 0.960398i | ||||
\(499\) | 16.5975i | 0.743006i | 0.928432 | + | 0.371503i | \(0.121158\pi\) | ||||
−0.928432 | + | 0.371503i | \(0.878842\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.70871 | − | 2.14123i | −0.165693 | − | 0.0956629i | ||||
\(502\) | 39.7617i | 1.77465i | ||||||||
\(503\) | 9.08258 | − | 15.7315i | 0.404972 | − | 0.701432i | −0.589346 | − | 0.807881i | \(-0.700615\pi\) |
0.994318 | + | 0.106448i | \(0.0339479\pi\) | |||||||
\(504\) | 3.00000 | + | 5.19615i | 0.133631 | + | 0.231455i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 26.5390 | 1.17980 | ||||||||
\(507\) | 11.5000 | + | 6.06218i | 0.510733 | + | 0.269231i | ||||
\(508\) | 27.2087 | 1.20719 | ||||||||
\(509\) | 25.6652 | − | 14.8178i | 1.13759 | − | 0.656787i | 0.191756 | − | 0.981443i | \(-0.438582\pi\) |
0.945832 | + | 0.324656i | \(0.105249\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 19.4340i | 0.858868i | ||||||||
\(513\) | −7.50000 | − | 4.33013i | −0.331133 | − | 0.191180i | ||||
\(514\) | −0.313068 | − | 0.180750i | −0.0138088 | − | 0.00797254i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 1.97822 | − | 3.42638i | 0.0870863 | − | 0.150838i | ||||
\(517\) | −11.5826 | − | 20.0616i | −0.509401 | − | 0.882309i | ||||
\(518\) | −26.0608 | + | 15.0462i | −1.14505 | + | 0.661092i | ||||
\(519\) | −7.41742 | −0.325589 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −27.4955 | −1.20460 | −0.602299 | − | 0.798271i | \(-0.705748\pi\) | ||||
−0.602299 | + | 0.798271i | \(0.705748\pi\) | |||||||
\(522\) | 17.3739 | − | 10.0308i | 0.760433 | − | 0.439036i | ||||
\(523\) | 9.08258 | + | 15.7315i | 0.397153 | + | 0.687890i | 0.993373 | − | 0.114931i | \(-0.0366648\pi\) |
−0.596220 | + | 0.802821i | \(0.703331\pi\) | |||||||
\(524\) | 2.20871 | − | 3.82560i | 0.0964880 | − | 0.167122i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −17.0608 | − | 9.85005i | −0.743886 | − | 0.429483i | ||||
\(527\) | −38.3739 | − | 22.1552i | −1.67159 | − | 0.965094i | ||||
\(528\) | − | 4.73930i | − | 0.206252i | ||||||
\(529\) | 1.00000 | − | 1.73205i | 0.0434783 | − | 0.0753066i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 5.83485 | − | 3.36875i | 0.253211 | − | 0.146191i | ||||
\(532\) | −8.37386 | −0.363053 | ||||||||
\(533\) | 6.87386 | + | 6.61438i | 0.297740 | + | 0.286501i | ||||
\(534\) | 9.37386 | 0.405647 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 12.8739 | + | 22.2982i | 0.556066 | + | 0.963135i | ||||
\(537\) | 0.0825757 | − | 0.143025i | 0.00356340 | − | 0.00617200i | ||||
\(538\) | − | 32.8335i | − | 1.41555i | ||||||
\(539\) | −9.16515 | − | 5.29150i | −0.394771 | − | 0.227921i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.3923i | 0.446800i | 0.974727 | + | 0.223400i | \(0.0717156\pi\) | ||||
−0.974727 | + | 0.223400i | \(0.928284\pi\) | |||||||
\(542\) | 9.47822 | − | 16.4168i | 0.407124 | − | 0.705160i | ||||
\(543\) | 9.37386 | + | 16.2360i | 0.402271 | + | 0.696754i | ||||
\(544\) | −29.3085 | + | 16.9213i | −1.25659 | + | 0.725494i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 9.47822 | − | 9.85005i | 0.405630 | − | 0.421543i | ||||
\(547\) | 1.25227 | 0.0535433 | 0.0267717 | − | 0.999642i | \(-0.491477\pi\) | ||||
0.0267717 | + | 0.999642i | \(0.491477\pi\) | |||||||
\(548\) | −0.230493 | + | 0.133075i | −0.00984615 | + | 0.00568468i | ||||
\(549\) | −10.5826 | − | 18.3296i | −0.451653 | − | 0.782287i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 7.93725i | 0.338138i | ||||||||
\(552\) | −6.87386 | − | 3.96863i | −0.292571 | − | 0.168916i | ||||
\(553\) | 9.00000 | + | 5.19615i | 0.382719 | + | 0.220963i | ||||
\(554\) | − | 36.2976i | − | 1.54214i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 8.02178 | + | 13.8941i | 0.340199 | + | 0.589242i | ||||
\(557\) | −11.2913 | + | 6.51903i | −0.478427 | + | 0.276220i | −0.719761 | − | 0.694222i | \(-0.755749\pi\) |
0.241334 | + | 0.970442i | \(0.422415\pi\) | |||||||
\(558\) | 42.3303 | 1.79198 | ||||||||
\(559\) | 4.96099 | + | 1.22753i | 0.209827 | + | 0.0519188i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 10.5000 | − | 6.06218i | 0.443310 | − | 0.255945i | ||||
\(562\) | 19.1652 | + | 33.1950i | 0.808433 | + | 1.40025i | ||||
\(563\) | 4.50000 | − | 7.79423i | 0.189652 | − | 0.328488i | −0.755482 | − | 0.655169i | \(-0.772597\pi\) |
0.945134 | + | 0.326682i | \(0.105931\pi\) | |||||||
\(564\) | 24.4394i | 1.02908i | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0.478220 | + | 0.276100i | 0.0201011 | + | 0.0116054i | ||||
\(567\) | 1.73205i | 0.0727393i | ||||||||
\(568\) | −3.08258 | + | 5.33918i | −0.129342 | + | 0.224027i | ||||
\(569\) | 9.87386 | + | 17.1020i | 0.413934 | + | 0.716955i | 0.995316 | − | 0.0966762i | \(-0.0308211\pi\) |
−0.581382 | + | 0.813631i | \(0.697488\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 29.0780 | 1.21688 | 0.608439 | − | 0.793601i | \(-0.291796\pi\) | ||||
0.608439 | + | 0.793601i | \(0.291796\pi\) | |||||||
\(572\) | −25.5826 | + | 7.38505i | −1.06966 | + | 0.308785i | ||||
\(573\) | −7.41742 | −0.309867 | ||||||||
\(574\) | 8.68693 | − | 5.01540i | 0.362586 | − | 0.209339i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 12.5826 | − | 21.7937i | 0.524274 | − | 0.908069i | ||||
\(577\) | − | 6.92820i | − | 0.288425i | −0.989547 | − | 0.144212i | \(-0.953935\pi\) | ||
0.989547 | − | 0.144212i | \(-0.0460649\pi\) | |||||||
\(578\) | −7.58258 | − | 4.37780i | −0.315394 | − | 0.182093i | ||||
\(579\) | 0.873864 | + | 0.504525i | 0.0363165 | + | 0.0209674i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 9.79129 | − | 16.9590i | 0.406211 | − | 0.703578i | ||||
\(582\) | −4.89564 | − | 8.47950i | −0.202931 | − | 0.351487i | ||||
\(583\) | −3.62614 | + | 2.09355i | −0.150179 | + | 0.0867060i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 51.2867 | 2.11864 | ||||||||
\(587\) | 16.2042 | − | 9.35548i | 0.668818 | − | 0.386142i | −0.126811 | − | 0.991927i | \(-0.540474\pi\) |
0.795628 | + | 0.605785i | \(0.207141\pi\) | |||||||
\(588\) | 5.58258 | + | 9.66930i | 0.230222 | + | 0.398755i | ||||
\(589\) | −8.37386 | + | 14.5040i | −0.345039 | + | 0.597625i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −17.2913 | − | 9.98313i | −0.711269 | − | 0.410651i | ||||
\(592\) | 12.3131 | + | 7.10895i | 0.506064 | + | 0.292176i | ||||
\(593\) | − | 21.1660i | − | 0.869184i | −0.900627 | − | 0.434592i | \(-0.856893\pi\) | ||
0.900627 | − | 0.434592i | \(-0.143107\pi\) | |||||||
\(594\) | −14.4782 | + | 25.0770i | −0.594049 | + | 1.02892i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −23.6044 | + | 13.6280i | −0.966872 | + | 0.558224i | ||||
\(597\) | 1.41742 | 0.0580113 | ||||||||
\(598\) | 8.68693 | − | 35.1078i | 0.355235 | − | 1.43567i | ||||
\(599\) | −39.4955 | −1.61374 | −0.806870 | − | 0.590729i | \(-0.798840\pi\) | ||||
−0.806870 | + | 0.590729i | \(0.798840\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.4564 | + | 25.0393i | 0.589690 | + | 1.02137i | 0.994273 | + | 0.106872i | \(0.0340836\pi\) |
−0.404582 | + | 0.914502i | \(0.632583\pi\) | |||||||
\(602\) | 2.68693 | − | 4.65390i | 0.109511 | − | 0.189679i | ||||
\(603\) | 29.7309i | 1.21074i | ||||||||
\(604\) | −15.0000 | − | 8.66025i | −0.610341 | − | 0.352381i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 19.7001i | 0.800262i | ||||||||
\(607\) | 9.87386 | − | 17.1020i | 0.400768 | − | 0.694150i | −0.593051 | − | 0.805165i | \(-0.702077\pi\) |
0.993819 | + | 0.111015i | \(0.0354101\pi\) | |||||||
\(608\) | 6.39564 | + | 11.0776i | 0.259378 | + | 0.449255i | ||||
\(609\) | −6.87386 | + | 3.96863i | −0.278543 | + | 0.160817i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −30.3303 | + | 8.75560i | −1.22703 | + | 0.354214i | ||||
\(612\) | 25.5826 | 1.03411 | ||||||||
\(613\) | −18.8739 | + | 10.8968i | −0.762308 | + | 0.440119i | −0.830124 | − | 0.557579i | \(-0.811730\pi\) |
0.0678157 | + | 0.997698i | \(0.478397\pi\) | |||||||
\(614\) | 26.5390 | + | 45.9669i | 1.07103 | + | 1.85507i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 7.93725i | 0.319801i | ||||||||
\(617\) | −2.91742 | − | 1.68438i | −0.117451 | − | 0.0678104i | 0.440124 | − | 0.897937i | \(-0.354935\pi\) |
−0.557575 | + | 0.830127i | \(0.688268\pi\) | |||||||
\(618\) | 28.7477 | + | 16.5975i | 1.15640 | + | 0.667650i | ||||
\(619\) | 2.01810i | 0.0811143i | 0.999177 | + | 0.0405572i | \(0.0129133\pi\) | ||||
−0.999177 | + | 0.0405572i | \(0.987087\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −11.4564 | − | 19.8431i | −0.459731 | − | 0.796278i | ||||
\(622\) | −3.00000 | + | 1.73205i | −0.120289 | + | 0.0694489i | ||||
\(623\) | 7.41742 | 0.297173 | ||||||||
\(624\) | −6.26951 | − | 1.55130i | −0.250981 | − | 0.0621017i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −58.2867 | + | 33.6519i | −2.32961 | + | 1.34500i | ||||
\(627\) | −2.29129 | − | 3.96863i | −0.0915052 | − | 0.158492i | ||||
\(628\) | −12.7913 | + | 22.1552i | −0.510428 | + | 0.884087i | ||||
\(629\) | 36.3731i | 1.45029i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −18.8739 | − | 10.8968i | −0.751357 | − | 0.433796i | 0.0748272 | − | 0.997197i | \(-0.476159\pi\) |
−0.826184 | + | 0.563401i | \(0.809493\pi\) | |||||||
\(632\) | 10.3923i | 0.413384i | ||||||||
\(633\) | −9.08258 | + | 15.7315i | −0.361000 | + | 0.625270i | ||||
\(634\) | 22.9564 | + | 39.7617i | 0.911717 | + | 1.57914i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 4.41742 | 0.175162 | ||||||||
\(637\) | −10.0000 | + | 10.3923i | −0.396214 | + | 0.411758i | ||||
\(638\) | 26.5390 | 1.05069 | ||||||||
\(639\) | −6.16515 | + | 3.55945i | −0.243890 | + | 0.140810i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 0.0825757 | − | 0.143025i | 0.00326154 | − | 0.00564916i | −0.864390 | − | 0.502822i | \(-0.832295\pi\) |
0.867652 | + | 0.497173i | \(0.165628\pi\) | |||||||
\(642\) | − | 3.10260i | − | 0.122450i | ||||||
\(643\) | 5.12614 | + | 2.95958i | 0.202155 | + | 0.116714i | 0.597660 | − | 0.801749i | \(-0.296097\pi\) |
−0.395505 | + | 0.918464i | \(0.629430\pi\) | |||||||
\(644\) | −19.1869 | − | 11.0776i | −0.756071 | − | 0.436518i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −8.68693 | + | 15.0462i | −0.341783 | + | 0.591985i | ||||
\(647\) | −13.5000 | − | 23.3827i | −0.530740 | − | 0.919268i | −0.999357 | − | 0.0358667i | \(-0.988581\pi\) |
0.468617 | − | 0.883402i | \(-0.344753\pi\) | |||||||
\(648\) | −1.50000 | + | 0.866025i | −0.0589256 | + | 0.0340207i | ||||
\(649\) | 8.91288 | 0.349861 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −16.7477 | −0.656395 | ||||||||
\(652\) | 25.8131 | − | 14.9032i | 1.01092 | − | 0.583654i | ||||
\(653\) | −24.4129 | − | 42.2843i | −0.955350 | − | 1.65471i | −0.733566 | − | 0.679619i | \(-0.762145\pi\) |
−0.221784 | − | 0.975096i | \(-0.571188\pi\) | |||||||
\(654\) | 3.00000 | − | 5.19615i | 0.117309 | − | 0.203186i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −4.10436 | − | 2.36965i | −0.160248 | − | 0.0925193i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 33.1950i | 1.29408i | ||||||||
\(659\) | 12.2477 | − | 21.2137i | 0.477104 | − | 0.826368i | −0.522552 | − | 0.852607i | \(-0.675020\pi\) |
0.999656 | + | 0.0262396i | \(0.00835327\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.12614 | − | 1.22753i | 0.0826971 | − | 0.0477452i | −0.458081 | − | 0.888910i | \(-0.651463\pi\) |
0.540778 | + | 0.841165i | \(0.318130\pi\) | |||||||
\(662\) | 24.9564 | 0.969960 | ||||||||
\(663\) | −4.58258 | − | 15.8745i | −0.177972 | − | 0.616515i | ||||
\(664\) | 19.5826 | 0.759951 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −17.3739 | − | 30.0924i | −0.673224 | − | 1.16606i | ||||
\(667\) | −10.5000 | + | 18.1865i | −0.406562 | + | 0.704185i | ||||
\(668\) | − | 11.9536i | − | 0.462497i | ||||||
\(669\) | 7.50000 | + | 4.33013i | 0.289967 | + | 0.167412i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 27.9989i | − | 1.08088i | ||||||
\(672\) | −6.39564 | + | 11.0776i | −0.246717 | + | 0.427327i | ||||
\(673\) | 2.91742 | + | 5.05313i | 0.112458 | + | 0.194784i | 0.916761 | − | 0.399436i | \(-0.130794\pi\) |
−0.804302 | + | 0.594220i | \(0.797461\pi\) | |||||||
\(674\) | 6.16515 | − | 3.55945i | 0.237473 | − | 0.137105i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.39564 | + | 36.2599i | 0.0536786 | + | 1.39461i | ||||
\(677\) | −21.1652 | −0.813443 | −0.406721 | − | 0.913552i | \(-0.633328\pi\) | ||||
−0.406721 | + | 0.913552i | \(0.633328\pi\) | |||||||
\(678\) | −31.4347 | + | 18.1488i | −1.20724 | + | 0.697001i | ||||
\(679\) | −3.87386 | − | 6.70973i | −0.148665 | − | 0.257496i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 6.10985i | − | 0.234130i | ||||||
\(682\) | 48.4955 | + | 27.9989i | 1.85699 | + | 1.07213i | ||||
\(683\) | −10.3348 | − | 5.96683i | −0.395452 | − | 0.228314i | 0.289068 | − | 0.957309i | \(-0.406655\pi\) |
−0.684520 | + | 0.728994i | \(0.739988\pi\) | |||||||
\(684\) | − | 9.66930i | − | 0.369715i | ||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 20.8521 | + | 36.1169i | 0.796136 | + | 1.37895i | ||||
\(687\) | −4.74773 | + | 2.74110i | −0.181137 | + | 0.104580i | ||||
\(688\) | −2.53901 | −0.0967990 | ||||||||
\(689\) | 1.58258 | + | 5.48220i | 0.0602913 | + | 0.208855i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 30.8739 | − | 17.8250i | 1.17450 | − | 0.678096i | 0.219762 | − | 0.975554i | \(-0.429472\pi\) |
0.954735 | + | 0.297457i | \(0.0961386\pi\) | |||||||
\(692\) | −10.3521 | − | 17.9303i | −0.393527 | − | 0.681609i | ||||
\(693\) | −4.58258 | + | 7.93725i | −0.174078 | + | 0.301511i | ||||
\(694\) | 33.5565i | 1.27379i | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −6.87386 | − | 3.96863i | −0.260553 | − | 0.150430i | ||||
\(697\) | − | 12.1244i | − | 0.459243i | ||||||
\(698\) | −20.0608 | + | 34.7463i | −0.759312 | + | 1.31517i | ||||
\(699\) | −10.5826 | − | 18.3296i | −0.400270 | − | 0.693288i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.83485 | −0.107071 | −0.0535354 | − | 0.998566i | \(-0.517049\pi\) | ||||
−0.0535354 | + | 0.998566i | \(0.517049\pi\) | |||||||
\(702\) | 28.4347 | + | 27.3613i | 1.07320 | + | 1.03268i | ||||
\(703\) | 13.7477 | 0.518505 | ||||||||
\(704\) | 28.8303 | − | 16.6452i | 1.08658 | − | 0.627339i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 19.0608 | − | 33.0143i | 0.717362 | − | 1.24251i | ||||
\(707\) | 15.5885i | 0.586264i | ||||||||
\(708\) | −8.14337 | − | 4.70158i | −0.306047 | − | 0.176696i | ||||
\(709\) | −31.5000 | − | 18.1865i | −1.18301 | − | 0.683010i | −0.226299 | − | 0.974058i | \(-0.572663\pi\) |
−0.956708 | + | 0.291048i | \(0.905996\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −6.00000 | + | 10.3923i | −0.225018 | + | 0.389742i | ||||
\(712\) | 3.70871 | + | 6.42368i | 0.138990 | + | 0.240738i | ||||
\(713\) | −38.3739 | + | 22.1552i | −1.43711 | + | 0.829717i | ||||
\(714\) | −17.3739 | −0.650201 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0.460985 | 0.0172278 | ||||||||
\(717\) | −18.1652 | + | 10.4877i | −0.678390 | + | 0.391669i | ||||
\(718\) | 36.5390 | + | 63.2874i | 1.36362 | + | 2.36187i | ||||
\(719\) | −15.2477 | + | 26.4098i | −0.568644 | + | 0.984921i | 0.428056 | + | 0.903752i | \(0.359199\pi\) |
−0.996700 | + | 0.0811686i | \(0.974135\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 22.7477 | + | 13.1334i | 0.847170 | + | 0.489114i | ||||
\(722\) | −30.3303 | − | 17.5112i | −1.12878 | − | 0.651700i | ||||
\(723\) | 1.73205i | 0.0644157i | ||||||||
\(724\) | −26.1652 | + | 45.3194i | −0.972420 | + | 1.68428i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 7.58258 | − | 4.37780i | 0.281416 | − | 0.162475i | ||||
\(727\) | −42.7477 | −1.58543 | −0.792713 | − | 0.609595i | \(-0.791332\pi\) | ||||
−0.792713 | + | 0.609595i | \(0.791332\pi\) | |||||||
\(728\) | 10.5000 | + | 2.59808i | 0.389156 | + | 0.0962911i | ||||
\(729\) | 13.0000 | 0.481481 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3.24773 | − | 5.62523i | −0.120122 | − | 0.208057i | ||||
\(732\) | −14.7695 | + | 25.5815i | −0.545897 | + | 0.945521i | ||||
\(733\) | 8.94630i | 0.330439i | 0.986257 | + | 0.165220i | \(0.0528333\pi\) | ||||
−0.986257 | + | 0.165220i | \(0.947167\pi\) | |||||||
\(734\) | −48.8085 | − | 28.1796i | −1.80156 | − | 1.04013i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 33.8426i | 1.24745i | ||||||||
\(737\) | −19.6652 | + | 34.0610i | −0.724375 | + | 1.25465i | ||||
\(738\) | 5.79129 | + | 10.0308i | 0.213180 | + | 0.369239i | ||||
\(739\) | 42.2477 | − | 24.3917i | 1.55411 | − | 0.897265i | 0.556307 | − | 0.830977i | \(-0.312218\pi\) |
0.997801 | − | 0.0662878i | \(-0.0211156\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −6.00000 | + | 1.73205i | −0.220416 | + | 0.0636285i | ||||
\(742\) | 6.00000 | 0.220267 | ||||||||
\(743\) | 37.0390 | − | 21.3845i | 1.35883 | − | 0.784521i | 0.369364 | − | 0.929285i | \(-0.379576\pi\) |
0.989466 | + | 0.144764i | \(0.0462424\pi\) | |||||||
\(744\) | −8.37386 | − | 14.5040i | −0.307001 | − | 0.531741i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | − | 28.4557i | − | 1.04184i | ||||||
\(747\) | 19.5826 | + | 11.3060i | 0.716489 | + | 0.413665i | ||||
\(748\) | 29.3085 | + | 16.9213i | 1.07163 | + | 0.618703i | ||||
\(749\) | − | 2.45505i | − | 0.0897056i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.87386 | + | 13.6379i | 0.287321 | + | 0.497655i | 0.973169 | − | 0.230090i | \(-0.0739019\pi\) |
−0.685848 | + | 0.727745i | \(0.740569\pi\) | |||||||
\(752\) | 13.5826 | − | 7.84190i | 0.495306 | − | 0.285965i | ||||
\(753\) | 18.1652 | 0.661975 | ||||||||
\(754\) | 8.68693 | − | 35.1078i | 0.316359 | − | 1.27855i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 20.9347 | − | 12.0866i | 0.761386 | − | 0.439587i | ||||
\(757\) | 8.87386 | + | 15.3700i | 0.322526 | + | 0.558632i | 0.981009 | − | 0.193965i | \(-0.0621347\pi\) |
−0.658482 | + | 0.752596i | \(0.728801\pi\) | |||||||
\(758\) | −23.0608 | + | 39.9425i | −0.837606 | + | 1.45078i | ||||
\(759\) | − | 12.1244i | − | 0.440086i | ||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −35.2913 | − | 20.3754i | −1.27931 | − | 0.738609i | −0.302587 | − | 0.953122i | \(-0.597850\pi\) |
−0.976721 | + | 0.214513i | \(0.931184\pi\) | |||||||
\(762\) | − | 21.3368i | − | 0.772951i | ||||||
\(763\) | 2.37386 | − | 4.11165i | 0.0859396 | − | 0.148852i | ||||
\(764\) | −10.3521 | − | 17.9303i | −0.374525 | − | 0.648697i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 6.20871 | 0.224330 | ||||||||
\(767\) | 2.91742 | − | 11.7906i | 0.105342 | − | 0.425735i | ||||
\(768\) | −2.79129 | −0.100722 | ||||||||
\(769\) | 13.5000 | − | 7.79423i | 0.486822 | − | 0.281067i | −0.236433 | − | 0.971648i | \(-0.575978\pi\) |
0.723255 | + | 0.690581i | \(0.242645\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.0825757 | + | 0.143025i | −0.00297389 | + | 0.00515093i | ||||
\(772\) | 2.81655i | 0.101370i | ||||||||
\(773\) | 30.0826 | + | 17.3682i | 1.08200 | + | 0.624690i | 0.931434 | − | 0.363911i | \(-0.118559\pi\) |
0.150561 | + | 0.988601i | \(0.451892\pi\) | |||||||
\(774\) | 5.37386 | + | 3.10260i | 0.193160 | + | 0.111521i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 3.87386 | − | 6.70973i | 0.139064 | − | 0.240865i | ||||
\(777\) | 6.87386 | + | 11.9059i | 0.246598 | + | 0.427121i | ||||
\(778\) | 28.7477 | − | 16.5975i | 1.03066 | − | 0.595049i | ||||
\(779\) | −4.58258 | −0.164188 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −9.41742 | −0.336982 | ||||||||
\(782\) | −39.8085 | + | 22.9835i | −1.42355 | + | 0.821887i | ||||
\(783\) | −11.4564 | − | 19.8431i | −0.409420 | − | 0.709136i | ||||
\(784\) | 3.58258 | − | 6.20520i | 0.127949 | − | 0.221614i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −3.00000 | − | 1.73205i | −0.107006 | − | 0.0617802i | ||||
\(787\) | 27.8739 | + | 16.0930i | 0.993596 | + | 0.573653i | 0.906347 | − | 0.422534i | \(-0.138859\pi\) |
0.0872487 | + | 0.996187i | \(0.472193\pi\) | |||||||
\(788\) | − | 55.7316i | − | 1.98536i | ||||||
\(789\) | −4.50000 | + | 7.79423i | −0.160204 | + | 0.277482i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −24.8739 | + | 14.3609i | −0.884413 | + | 0.510616i | ||||
\(792\) | −9.16515 | −0.325669 | ||||||||
\(793\) | −37.0390 | − | 9.16478i | −1.31529 | − | 0.325451i | ||||
\(794\) | 59.7042 | 2.11882 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.97822 | + | 3.42638i | 0.0701161 | + | 0.121445i | ||||
\(797\) | 10.0390 | − | 17.3881i | 0.355600 | − | 0.615918i | −0.631620 | − | 0.775278i | \(-0.717610\pi\) |
0.987220 | + | 0.159360i | \(0.0509432\pi\) | |||||||
\(798\) | 6.56670i | 0.232459i | ||||||||
\(799\) | 34.7477 | + | 20.0616i | 1.22929 | + | 0.709729i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 8.56490i | 0.302626i | ||||||||
\(802\) | 13.6869 | − | 23.7065i | 0.483302 | − | 0.837104i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 35.9347 | − | 20.7469i | 1.26732 | − | 0.731686i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 52.9129 | − | 54.9887i | 1.86378 | − | 1.93689i | ||||
\(807\) | −15.0000 | −0.528025 | ||||||||
\(808\) | −13.5000 | + | 7.79423i | −0.474928 | + | 0.274200i | ||||
\(809\) | −18.4129 | − | 31.8920i | −0.647362 | − | 1.12126i | −0.983750 | − | 0.179541i | \(-0.942539\pi\) |
0.336388 | − | 0.941723i | \(-0.390795\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 18.7665i | 0.658981i | 0.944159 | + | 0.329491i | \(0.106877\pi\) | ||||
−0.944159 | + | 0.329491i | \(0.893123\pi\) | |||||||
\(812\) | −19.1869 | − | 11.0776i | −0.673329 | − | 0.388747i | ||||
\(813\) | −7.50000 | − | 4.33013i | −0.263036 | − | 0.151864i | ||||
\(814\) | − | 45.9669i | − | 1.61114i | ||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 4.10436 | + | 7.10895i | 0.143681 | + | 0.248863i | ||||
\(817\) | −2.12614 | + | 1.22753i | −0.0743841 | + | 0.0429457i | ||||
\(818\) | −18.9564 | −0.662796 | ||||||||
\(819\) | 9.00000 | + | 8.66025i | 0.314485 | + | 0.302614i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 20.2913 | − | 11.7152i | 0.708171 | − | 0.408863i | −0.102213 | − | 0.994763i | \(-0.532592\pi\) |
0.810383 | + | 0.585900i | \(0.199259\pi\) | |||||||
\(822\) | 0.104356 | + | 0.180750i | 0.00363984 | + | 0.00630438i | ||||
\(823\) | 20.2913 | − | 35.1455i | 0.707310 | − | 1.22510i | −0.258542 | − | 0.966000i | \(-0.583242\pi\) |
0.965851 | − | 0.259096i | \(-0.0834248\pi\) | |||||||
\(824\) | 26.2668i | 0.915048i | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −11.0608 | − | 6.38595i | −0.384854 | − | 0.222196i | ||||
\(827\) | − | 31.5583i | − | 1.09739i | −0.836023 | − | 0.548695i | \(-0.815125\pi\) | ||
0.836023 | − | 0.548695i | \(-0.184875\pi\) | |||||||
\(828\) | 12.7913 | − | 22.1552i | 0.444528 | − | 0.769945i | ||||
\(829\) | −1.66515 | − | 2.88413i | −0.0578331 | − | 0.100170i | 0.835659 | − | 0.549248i | \(-0.185086\pi\) |
−0.893492 | + | 0.449078i | \(0.851752\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −16.5826 | −0.575243 | ||||||||
\(832\) | −12.5826 | − | 43.5873i | −0.436222 | − | 1.51112i | ||||
\(833\) | 18.3303 | 0.635107 | ||||||||
\(834\) | 10.8956 | − | 6.29060i | 0.377285 | − | 0.217826i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 6.39564 | − | 11.0776i | 0.221198 | − | 0.383126i | ||||
\(837\) | − | 48.3465i | − | 1.67110i | ||||||
\(838\) | 45.8085 | + | 26.4476i | 1.58243 | + | 0.913616i | ||||
\(839\) | −1.16970 | − | 0.675325i | −0.0403824 | − | 0.0233148i | 0.479673 | − | 0.877447i | \(-0.340755\pi\) |
−0.520055 | + | 0.854133i | \(0.674089\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 4.00000 | − | 6.92820i | 0.137931 | − | 0.238904i | ||||
\(842\) | 28.7477 | + | 49.7925i | 0.990712 | + | 1.71596i | ||||
\(843\) | 15.1652 | − | 8.75560i | 0.522316 | − | 0.301559i | ||||
\(844\) | −50.7042 | −1.74531 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −38.3303 | −1.31782 | ||||||||
\(847\) | 6.00000 | − | 3.46410i | 0.206162 | − | 0.119028i | ||||
\(848\) | −1.41742 | − | 2.45505i | −0.0486746 | − | 0.0843068i | ||||
\(849\) | 0.126136 | − | 0.218475i | 0.00432899 | − | 0.00749803i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 31.5000 | + | 18.1865i | 1.07981 | + | 0.623426i | ||||
\(852\) | 8.60436 | + | 4.96773i | 0.294780 | + | 0.170192i | ||||
\(853\) | 53.2566i | 1.82347i | 0.410777 | + | 0.911736i | \(0.365258\pi\) | ||||
−0.410777 | + | 0.911736i | \(0.634742\pi\) | |||||||
\(854\) | −20.0608 | + | 34.7463i | −0.686466 | + | 1.18899i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.12614 | − | 1.22753i | 0.0726698 | − | 0.0419560i | ||||
\(857\) | 22.7477 | 0.777048 | 0.388524 | − | 0.921439i | \(-0.372985\pi\) | ||||
0.388524 | + | 0.921439i | \(0.372985\pi\) | |||||||
\(858\) | 5.79129 | + | 20.0616i | 0.197711 | + | 0.684892i | ||||
\(859\) | 38.2432 | 1.30484 | 0.652420 | − | 0.757857i | \(-0.273754\pi\) | ||||
0.652420 | + | 0.757857i | \(0.273754\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −2.29129 | − | 3.96863i | −0.0780869 | − | 0.135250i | ||||
\(862\) | 32.4347 | − | 56.1785i | 1.10473 | − | 1.91345i | ||||
\(863\) | − | 34.8317i | − | 1.18569i | −0.805318 | − | 0.592843i | \(-0.798006\pi\) | ||
0.805318 | − | 0.592843i | \(-0.201994\pi\) | |||||||
\(864\) | −31.9782 | − | 18.4626i | −1.08792 | − | 0.628112i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | − | 38.8480i | − | 1.32011i | ||||||
\(867\) | −2.00000 | + | 3.46410i | −0.0679236 | + | 0.117647i | ||||
\(868\) | −23.3739 | − | 40.4847i | −0.793361 | − | 1.37414i | ||||
\(869\) | −13.7477 | + | 7.93725i | −0.466360 | + | 0.269253i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 38.6216 | + | 37.1636i | 1.30864 | + | 1.25924i | ||||
\(872\) | 4.74773 | 0.160778 | ||||||||
\(873\) | 7.74773 | − | 4.47315i | 0.262221 | − | 0.151393i | ||||
\(874\) | 8.68693 | + | 15.0462i | 0.293840 | + | 0.508946i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.87386 | + | 3.96863i | 0.232114 | + | 0.134011i | 0.611547 | − | 0.791208i | \(-0.290548\pi\) |
−0.379433 | + | 0.925219i | \(0.623881\pi\) | |||||||
\(878\) | −76.7650 | − | 44.3203i | −2.59069 | − | 1.49574i | ||||
\(879\) | − | 23.4304i | − | 0.790286i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 9.24773 | + | 16.0175i | 0.311564 | + | 0.539644i | 0.978701 | − | 0.205290i | \(-0.0658139\pi\) |
−0.667137 | + | 0.744935i | \(0.732481\pi\) | |||||||
\(882\) | −15.1652 | + | 8.75560i | −0.510637 | + | 0.294817i | ||||
\(883\) | −46.2432 | −1.55621 | −0.778103 | − | 0.628136i | \(-0.783818\pi\) | ||||
−0.778103 | + | 0.628136i | \(0.783818\pi\) | |||||||
\(884\) | 31.9782 | − | 33.2327i | 1.07554 | − | 1.11774i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −49.1216 | + | 28.3604i | −1.65027 | + | 0.952785i | ||||
\(887\) | 0.247727 | + | 0.429076i | 0.00831786 | + | 0.0144070i | 0.870154 | − | 0.492779i | \(-0.164019\pi\) |
−0.861837 | + | 0.507186i | \(0.830686\pi\) | |||||||
\(888\) | −6.87386 | + | 11.9059i | −0.230672 | + | 0.399535i | ||||
\(889\) | − | 16.8836i | − | 0.566256i | ||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2.29129 | − | 1.32288i | −0.0767610 | − | 0.0443180i | ||||
\(892\) | 24.1733i | 0.809381i | ||||||||
\(893\) | 7.58258 | − | 13.1334i | 0.253741 | − | 0.439493i | ||||
\(894\) | 10.6869 | + | 18.5103i | 0.357424 | + | 0.619077i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −22.1216 | −0.739030 | ||||||||
\(897\) | −16.0390 | − | 3.96863i | −0.535527 | − | 0.132509i | ||||
\(898\) | −82.0345 | −2.73753 | ||||||||
\(899\) | −38.3739 | + | 22.1552i | −1.27984 | + | 0.738916i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.62614 | − | 6.28065i | 0.120804 | − | 0.209239i | ||||
\(902\) | 15.3223i | 0.510177i | ||||||||
\(903\) | −2.12614 | − | 1.22753i | −0.0707534 | − | 0.0408495i | ||||
\(904\) | −24.8739 | − | 14.3609i | −0.827292 | − | 0.477637i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −6.79129 | + | 11.7629i | −0.225625 | + | 0.390795i | ||||
\(907\) | 16.8739 | + | 29.2264i | 0.560287 | + | 0.970446i | 0.997471 | + | 0.0710740i | \(0.0226427\pi\) |
−0.437184 | + | 0.899372i | \(0.644024\pi\) | |||||||
\(908\) | 14.7695 | − | 8.52718i | 0.490143 | − | 0.282984i | ||||
\(909\) | −18.0000 | −0.597022 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 37.9129 | 1.25611 | 0.628055 | − | 0.778169i | \(-0.283851\pi\) | ||||
0.628055 | + | 0.778169i | \(0.283851\pi\) | |||||||
\(912\) | 2.68693 | − | 1.55130i | 0.0889732 | − | 0.0513687i | ||||
\(913\) | 14.9564 | + | 25.9053i | 0.494986 | + | 0.857341i | ||||
\(914\) | −1.89564 | + | 3.28335i | −0.0627023 | + | 0.108604i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −13.2523 | − | 7.65120i | −0.437867 | − | 0.252803i | ||||
\(917\) | −2.37386 | − | 1.37055i | −0.0783919 | − | 0.0452596i | ||||
\(918\) | − | 50.1540i | − | 1.65533i | ||||||
\(919\) | −17.9174 | + | 31.0339i | −0.591041 | + | 1.02371i | 0.403051 | + | 0.915177i | \(0.367950\pi\) |
−0.994093 | + | 0.108536i | \(0.965384\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 21.0000 | − | 12.1244i | 0.691974 | − | 0.399511i | ||||
\(922\) | −2.62614 | −0.0864872 | ||||||||
\(923\) | −3.08258 | + | 12.4581i | −0.101464 | + | 0.410063i | ||||
\(924\) | 12.7913 | 0.420802 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 9.00000 | + | 15.5885i | 0.295758 | + | 0.512268i | ||||
\(927\) | −15.1652 | + | 26.2668i | −0.498089 | + | 0.862715i | ||||
\(928\) | 33.8426i | 1.11094i | ||||||||
\(929\) | 13.8303 | + | 7.98493i | 0.453758 | + | 0.261977i | 0.709416 | − | 0.704790i | \(-0.248959\pi\) |
−0.255658 | + | 0.966767i | \(0.582292\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 6.92820i | − | 0.227063i | ||||||
\(932\) | 29.5390 | − | 51.1631i | 0.967583 | − | 1.67590i | ||||
\(933\) | 0.791288 | + | 1.37055i | 0.0259056 | + | 0.0448698i | ||||
\(934\) | 23.3739 | − | 13.4949i | 0.764816 | − | 0.441567i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −3.00000 | + | 12.1244i | −0.0980581 | + | 0.396297i | ||||
\(937\) | −23.4955 | −0.767563 | −0.383782 | − | 0.923424i | \(-0.625378\pi\) | ||||
−0.383782 | + | 0.923424i | \(0.625378\pi\) | |||||||
\(938\) | 48.8085 | − | 28.1796i | 1.59365 | − | 0.920097i | ||||
\(939\) | 15.3739 | + | 26.6283i | 0.501707 | + | 0.868982i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 26.4575i | − | 0.862490i | −0.902235 | − | 0.431245i | \(-0.858074\pi\) | ||
0.902235 | − | 0.431245i | \(-0.141926\pi\) | |||||||
\(942\) | 17.3739 | + | 10.0308i | 0.566071 | + | 0.326821i | ||||
\(943\) | −10.5000 | − | 6.06218i | −0.341927 | − | 0.197412i | ||||
\(944\) | 6.03440i | 0.196403i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.10436 | + | 7.10895i | 0.133444 | + | 0.231132i | ||||
\(947\) | 33.4129 | − | 19.2909i | 1.08577 | − | 0.626871i | 0.153325 | − | 0.988176i | \(-0.451002\pi\) |
0.932448 | + | 0.361305i | \(0.117669\pi\) | |||||||
\(948\) | 16.7477 | 0.543941 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 18.1652 | − | 10.4877i | 0.589045 | − | 0.340086i | ||||
\(952\) | −6.87386 | − | 11.9059i | −0.222783 | − | 0.385872i | ||||
\(953\) | −28.0390 | + | 48.5650i | −0.908273 | + | 1.57317i | −0.0918100 | + | 0.995777i | \(0.529265\pi\) |
−0.816463 | + | 0.577398i | \(0.804068\pi\) | |||||||
\(954\) | 6.92820i | 0.224309i | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −50.7042 | − | 29.2741i | −1.63989 | − | 0.946791i | ||||
\(957\) | − | 12.1244i | − | 0.391925i | ||||||
\(958\) | 35.4347 | − | 61.3746i | 1.14484 | − | 1.98292i | ||||
\(959\) | 0.0825757 | + | 0.143025i | 0.00266651 | + | 0.00461853i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −62.4955 | −2.01598 | ||||||||
\(962\) | −60.8085 | − | 15.0462i | −1.96055 | − | 0.485109i | ||||
\(963\) | 2.83485 | 0.0913517 | ||||||||
\(964\) | −4.18693 | + | 2.41733i | −0.134852 | + | 0.0778568i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −8.68693 | + | 15.0462i | −0.279497 | + | 0.484104i | ||||
\(967\) | − | 21.5076i | − | 0.691638i | −0.938301 | − | 0.345819i | \(-0.887601\pi\) | ||
0.938301 | − | 0.345819i | \(-0.112399\pi\) | |||||||
\(968\) | 6.00000 | + | 3.46410i | 0.192847 | + | 0.111340i | ||||
\(969\) | 6.87386 | + | 3.96863i | 0.220820 | + | 0.127491i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −18.2477 | + | 31.6060i | −0.585597 | + | 1.01428i | 0.409203 | + | 0.912443i | \(0.365807\pi\) |
−0.994801 | + | 0.101841i | \(0.967527\pi\) | |||||||
\(972\) | 22.3303 | + | 38.6772i | 0.716245 | + | 1.24057i | ||||
\(973\) | 8.62159 | − | 4.97768i | 0.276396 | − | 0.159577i | ||||
\(974\) | −46.1216 | −1.47783 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 18.9564 | 0.606781 | ||||||||
\(977\) | −33.5780 | + | 19.3863i | −1.07426 | + | 0.620222i | −0.929341 | − | 0.369222i | \(-0.879624\pi\) |
−0.144915 | + | 0.989444i | \(0.546291\pi\) | |||||||
\(978\) | −11.6869 | − | 20.2424i | −0.373707 | − | 0.647279i | ||||
\(979\) | −5.66515 | + | 9.81233i | −0.181059 | + | 0.313603i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.74773 | + | 2.74110i | 0.151583 | + | 0.0875166i | ||||
\(982\) | −54.1824 | − | 31.2822i | −1.72903 | − | 0.998256i | ||||
\(983\) | 3.12250i | 0.0995924i | 0.998759 | + | 0.0497962i | \(0.0158572\pi\) | ||||
−0.998759 | + | 0.0497962i | \(0.984143\pi\) | |||||||
\(984\) | 2.29129 | − | 3.96863i | 0.0730436 | − | 0.126515i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −39.8085 | + | 22.9835i | −1.26776 | + | 0.731943i | ||||
\(987\) | 15.1652 | 0.482712 | ||||||||
\(988\) | −12.5608 | − | 12.0866i | −0.399612 | − | 0.384527i | ||||
\(989\) | −6.49545 | −0.206543 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.50000 | + | 11.2583i | 0.206479 | + | 0.357633i | 0.950603 | − | 0.310409i | \(-0.100466\pi\) |
−0.744124 | + | 0.668042i | \(0.767133\pi\) | |||||||
\(992\) | −35.7042 | + | 61.8414i | −1.13361 | + | 1.96347i | ||||
\(993\) | − | 11.4014i | − | 0.361811i | ||||||
\(994\) | 11.6869 | + | 6.74745i | 0.370687 | + | 0.214016i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | − | 31.5583i | − | 0.999963i | ||||||
\(997\) | 9.08258 | − | 15.7315i | 0.287648 | − | 0.498221i | −0.685600 | − | 0.727979i | \(-0.740460\pi\) |
0.973248 | + | 0.229758i | \(0.0737933\pi\) | |||||||
\(998\) | 18.1652 | + | 31.4630i | 0.575008 | + | 0.995943i | ||||
\(999\) | −34.3693 | + | 19.8431i | −1.08740 | + | 0.627809i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))