Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [65,2,Mod(4,65)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(65, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("65.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 65 = 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 65.l (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: | \(0.519027613138\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.49787136.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 3x^{6} + 5x^{4} + 12x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 49.1 | ||
Root | \(-1.09445 - 0.895644i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 65.49 |
Dual form | 65.2.l.a.4.1 |
$q$-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 \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.09445 | − | 1.89564i | −0.773893 | − | 1.34042i | −0.935414 | − | 0.353553i | \(-0.884973\pi\) |
0.161521 | − | 0.986869i | \(-0.448360\pi\) | |||||||
\(3\) | 0.866025 | − | 0.500000i | 0.500000 | − | 0.288675i | −0.228714 | − | 0.973494i | \(-0.573452\pi\) |
0.728714 | + | 0.684819i | \(0.240119\pi\) | |||||||
\(4\) | −1.39564 | + | 2.41733i | −0.697822 | + | 1.20866i | ||||
\(5\) | 0.456850 | − | 2.18890i | 0.204310 | − | 0.978906i | ||||
\(6\) | −1.89564 | − | 1.09445i | −0.773893 | − | 0.446808i | ||||
\(7\) | −0.866025 | + | 1.50000i | −0.327327 | + | 0.566947i | −0.981981 | − | 0.188982i | \(-0.939481\pi\) |
0.654654 | + | 0.755929i | \(0.272814\pi\) | |||||||
\(8\) | 1.73205 | 0.612372 | ||||||||
\(9\) | −1.00000 | + | 1.73205i | −0.333333 | + | 0.577350i | ||||
\(10\) | −4.64938 | + | 1.52962i | −1.47026 | + | 0.483708i | ||||
\(11\) | 2.29129 | − | 1.32288i | 0.690849 | − | 0.398862i | −0.113081 | − | 0.993586i | \(-0.536072\pi\) |
0.803930 | + | 0.594724i | \(0.202739\pi\) | |||||||
\(12\) | 2.79129i | 0.805775i | ||||||||
\(13\) | 3.46410 | − | 1.00000i | 0.960769 | − | 0.277350i | ||||
\(14\) | 3.79129 | 1.01326 | ||||||||
\(15\) | −0.698807 | − | 2.12407i | −0.180431 | − | 0.548432i | ||||
\(16\) | 0.895644 | + | 1.55130i | 0.223911 | + | 0.387825i | ||||
\(17\) | 3.96863 | + | 2.29129i | 0.962533 | + | 0.555719i | 0.896952 | − | 0.442128i | \(-0.145776\pi\) |
0.0655816 | + | 0.997847i | \(0.479110\pi\) | |||||||
\(18\) | 4.37780 | 1.03186 | ||||||||
\(19\) | −1.50000 | − | 0.866025i | −0.344124 | − | 0.198680i | 0.317970 | − | 0.948101i | \(-0.396999\pi\) |
−0.662094 | + | 0.749421i | \(0.730332\pi\) | |||||||
\(20\) | 4.65369 | + | 4.15928i | 1.04060 | + | 0.930044i | ||||
\(21\) | 1.73205i | 0.377964i | ||||||||
\(22\) | −5.01540 | − | 2.89564i | −1.06929 | − | 0.617353i | ||||
\(23\) | −3.96863 | + | 2.29129i | −0.827516 | + | 0.477767i | −0.853001 | − | 0.521909i | \(-0.825220\pi\) |
0.0254855 | + | 0.999675i | \(0.491887\pi\) | |||||||
\(24\) | 1.50000 | − | 0.866025i | 0.306186 | − | 0.176777i | ||||
\(25\) | −4.58258 | − | 2.00000i | −0.916515 | − | 0.400000i | ||||
\(26\) | −5.68693 | − | 5.47225i | −1.11530 | − | 1.07320i | ||||
\(27\) | 5.00000i | 0.962250i | ||||||||
\(28\) | −2.41733 | − | 4.18693i | −0.456832 | − | 0.791256i | ||||
\(29\) | −2.29129 | − | 3.96863i | −0.425481 | − | 0.736956i | 0.570984 | − | 0.820961i | \(-0.306562\pi\) |
−0.996465 | + | 0.0840058i | \(0.973229\pi\) | |||||||
\(30\) | −3.26167 | + | 3.64938i | −0.595497 | + | 0.666282i | ||||
\(31\) | 9.66930i | 1.73666i | 0.495988 | + | 0.868329i | \(0.334806\pi\) | ||||
−0.495988 | + | 0.868329i | \(0.665194\pi\) | |||||||
\(32\) | 3.69253 | − | 6.39564i | 0.652753 | − | 1.13060i | ||||
\(33\) | 1.32288 | − | 2.29129i | 0.230283 | − | 0.398862i | ||||
\(34\) | − | 10.0308i | − | 1.72027i | ||||||
\(35\) | 2.88771 | + | 2.58092i | 0.488112 | + | 0.436255i | ||||
\(36\) | −2.79129 | − | 4.83465i | −0.465215 | − | 0.805775i | ||||
\(37\) | −3.96863 | − | 6.87386i | −0.652438 | − | 1.13006i | −0.982529 | − | 0.186107i | \(-0.940413\pi\) |
0.330091 | − | 0.943949i | \(-0.392920\pi\) | |||||||
\(38\) | 3.79129i | 0.615028i | ||||||||
\(39\) | 2.50000 | − | 2.59808i | 0.400320 | − | 0.416025i | ||||
\(40\) | 0.791288 | − | 3.79129i | 0.125114 | − | 0.599455i | ||||
\(41\) | −2.29129 | + | 1.32288i | −0.357839 | + | 0.206598i | −0.668132 | − | 0.744042i | \(-0.732906\pi\) |
0.310293 | + | 0.950641i | \(0.399573\pi\) | |||||||
\(42\) | 3.28335 | − | 1.89564i | 0.506632 | − | 0.292504i | ||||
\(43\) | −1.22753 | − | 0.708712i | −0.187196 | − | 0.108078i | 0.403473 | − | 0.914991i | \(-0.367803\pi\) |
−0.590669 | + | 0.806914i | \(0.701136\pi\) | |||||||
\(44\) | 7.38505i | 1.11334i | ||||||||
\(45\) | 3.33444 | + | 2.98019i | 0.497069 | + | 0.444260i | ||||
\(46\) | 8.68693 | + | 5.01540i | 1.28082 | + | 0.739481i | ||||
\(47\) | −8.75560 | −1.27714 | −0.638568 | − | 0.769565i | \(-0.720473\pi\) | ||||
−0.638568 | + | 0.769565i | \(0.720473\pi\) | |||||||
\(48\) | 1.55130 | + | 0.895644i | 0.223911 | + | 0.129275i | ||||
\(49\) | 2.00000 | + | 3.46410i | 0.285714 | + | 0.494872i | ||||
\(50\) | 1.22411 | + | 10.8758i | 0.173116 | + | 1.53808i | ||||
\(51\) | 4.58258 | 0.641689 | ||||||||
\(52\) | −2.41733 | + | 9.76951i | −0.335223 | + | 1.35479i | ||||
\(53\) | − | 1.58258i | − | 0.217383i | −0.994076 | − | 0.108692i | \(-0.965334\pi\) | ||
0.994076 | − | 0.108692i | \(-0.0346661\pi\) | |||||||
\(54\) | 9.47822 | − | 5.47225i | 1.28982 | − | 0.744679i | ||||
\(55\) | −1.84887 | − | 5.61976i | −0.249301 | − | 0.757768i | ||||
\(56\) | −1.50000 | + | 2.59808i | −0.200446 | + | 0.347183i | ||||
\(57\) | −1.73205 | −0.229416 | ||||||||
\(58\) | −5.01540 | + | 8.68693i | −0.658555 | + | 1.14065i | ||||
\(59\) | −2.91742 | − | 1.68438i | −0.379816 | − | 0.219287i | 0.297922 | − | 0.954590i | \(-0.403706\pi\) |
−0.677738 | + | 0.735303i | \(0.737040\pi\) | |||||||
\(60\) | 6.10985 | + | 1.27520i | 0.788779 | + | 0.164628i | ||||
\(61\) | 5.29129 | − | 9.16478i | 0.677480 | − | 1.17343i | −0.298257 | − | 0.954485i | \(-0.596405\pi\) |
0.975737 | − | 0.218944i | \(-0.0702613\pi\) | |||||||
\(62\) | 18.3296 | − | 10.5826i | 2.32786 | − | 1.34399i | ||||
\(63\) | −1.73205 | − | 3.00000i | −0.218218 | − | 0.377964i | ||||
\(64\) | −12.5826 | −1.57282 | ||||||||
\(65\) | −0.606325 | − | 8.03943i | −0.0752054 | − | 0.997168i | ||||
\(66\) | −5.79129 | −0.712858 | ||||||||
\(67\) | 7.43273 | + | 12.8739i | 0.908052 | + | 1.57279i | 0.816767 | + | 0.576968i | \(0.195764\pi\) |
0.0912856 | + | 0.995825i | \(0.470902\pi\) | |||||||
\(68\) | −11.0776 | + | 6.39564i | −1.34335 | + | 0.775586i | ||||
\(69\) | −2.29129 | + | 3.96863i | −0.275839 | + | 0.477767i | ||||
\(70\) | 1.73205 | − | 8.29875i | 0.207020 | − | 0.991891i | ||||
\(71\) | −3.08258 | − | 1.77973i | −0.365834 | − | 0.211215i | 0.305803 | − | 0.952095i | \(-0.401075\pi\) |
−0.671637 | + | 0.740880i | \(0.734409\pi\) | |||||||
\(72\) | −1.73205 | + | 3.00000i | −0.204124 | + | 0.353553i | ||||
\(73\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(74\) | −8.68693 | + | 15.0462i | −1.00984 | + | 1.74909i | ||||
\(75\) | −4.96863 | + | 0.559237i | −0.573728 | + | 0.0645751i | ||||
\(76\) | 4.18693 | − | 2.41733i | 0.480274 | − | 0.277286i | ||||
\(77\) | 4.58258i | 0.522233i | ||||||||
\(78\) | −7.66115 | − | 1.89564i | −0.867455 | − | 0.214639i | ||||
\(79\) | 6.00000 | 0.675053 | 0.337526 | − | 0.941316i | \(-0.390410\pi\) | ||||
0.337526 | + | 0.941316i | \(0.390410\pi\) | |||||||
\(80\) | 3.80482 | − | 1.25176i | 0.425392 | − | 0.139951i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 5.01540 | + | 2.89564i | 0.553859 | + | 0.319770i | ||||
\(83\) | −11.3060 | −1.24100 | −0.620498 | − | 0.784208i | \(-0.713069\pi\) | ||||
−0.620498 | + | 0.784208i | \(0.713069\pi\) | |||||||
\(84\) | −4.18693 | − | 2.41733i | −0.456832 | − | 0.263752i | ||||
\(85\) | 6.82847 | − | 7.64016i | 0.740652 | − | 0.828691i | ||||
\(86\) | 3.10260i | 0.334562i | ||||||||
\(87\) | −3.96863 | − | 2.29129i | −0.425481 | − | 0.245652i | ||||
\(88\) | 3.96863 | − | 2.29129i | 0.423057 | − | 0.244252i | ||||
\(89\) | 3.70871 | − | 2.14123i | 0.393123 | − | 0.226969i | −0.290390 | − | 0.956909i | \(-0.593785\pi\) |
0.683512 | + | 0.729939i | \(0.260452\pi\) | |||||||
\(90\) | 2.00000 | − | 9.58258i | 0.210819 | − | 1.01009i | ||||
\(91\) | −1.50000 | + | 6.06218i | −0.157243 | + | 0.635489i | ||||
\(92\) | − | 12.7913i | − | 1.33358i | ||||||
\(93\) | 4.83465 | + | 8.37386i | 0.501330 | + | 0.868329i | ||||
\(94\) | 9.58258 | + | 16.5975i | 0.988367 | + | 1.71190i | ||||
\(95\) | −2.58092 | + | 2.88771i | −0.264797 | + | 0.296273i | ||||
\(96\) | − | 7.38505i | − | 0.753734i | ||||||
\(97\) | 2.23658 | − | 3.87386i | 0.227090 | − | 0.393331i | −0.729854 | − | 0.683603i | \(-0.760412\pi\) |
0.956944 | + | 0.290271i | \(0.0937455\pi\) | |||||||
\(98\) | 4.37780 | − | 7.58258i | 0.442225 | − | 0.765956i | ||||
\(99\) | 5.29150i | 0.531816i | ||||||||
\(100\) | 11.2303 | − | 8.28629i | 1.12303 | − | 0.828629i | ||||
\(101\) | −4.50000 | − | 7.79423i | −0.447767 | − | 0.775555i | 0.550474 | − | 0.834853i | \(-0.314447\pi\) |
−0.998240 | + | 0.0592978i | \(0.981114\pi\) | |||||||
\(102\) | −5.01540 | − | 8.68693i | −0.496599 | − | 0.860134i | ||||
\(103\) | − | 15.1652i | − | 1.49427i | −0.664674 | − | 0.747133i | \(-0.731430\pi\) | ||
0.664674 | − | 0.747133i | \(-0.268570\pi\) | |||||||
\(104\) | 6.00000 | − | 1.73205i | 0.588348 | − | 0.169842i | ||||
\(105\) | 3.79129 | + | 0.791288i | 0.369992 | + | 0.0772218i | ||||
\(106\) | −3.00000 | + | 1.73205i | −0.291386 | + | 0.168232i | ||||
\(107\) | 1.22753 | − | 0.708712i | 0.118669 | − | 0.0685138i | −0.439490 | − | 0.898247i | \(-0.644841\pi\) |
0.558160 | + | 0.829733i | \(0.311508\pi\) | |||||||
\(108\) | −12.0866 | − | 6.97822i | −1.16304 | − | 0.671479i | ||||
\(109\) | − | 2.74110i | − | 0.262550i | −0.991346 | − | 0.131275i | \(-0.958093\pi\) | ||
0.991346 | − | 0.131275i | \(-0.0419071\pi\) | |||||||
\(110\) | −8.62957 | + | 9.65534i | −0.822797 | + | 0.920601i | ||||
\(111\) | −6.87386 | − | 3.96863i | −0.652438 | − | 0.376685i | ||||
\(112\) | −3.10260 | −0.293168 | ||||||||
\(113\) | 14.3609 | + | 8.29129i | 1.35096 | + | 0.779979i | 0.988384 | − | 0.151975i | \(-0.0485632\pi\) |
0.362578 | + | 0.931953i | \(0.381897\pi\) | |||||||
\(114\) | 1.89564 | + | 3.28335i | 0.177543 | + | 0.307514i | ||||
\(115\) | 3.20233 | + | 9.73371i | 0.298619 | + | 0.907673i | ||||
\(116\) | 12.7913 | 1.18764 | ||||||||
\(117\) | −1.73205 | + | 7.00000i | −0.160128 | + | 0.647150i | ||||
\(118\) | 7.37386i | 0.678819i | ||||||||
\(119\) | −6.87386 | + | 3.96863i | −0.630126 | + | 0.363803i | ||||
\(120\) | −1.21037 | − | 3.67900i | −0.110491 | − | 0.335845i | ||||
\(121\) | −2.00000 | + | 3.46410i | −0.181818 | + | 0.314918i | ||||
\(122\) | −23.1642 | −2.09719 | ||||||||
\(123\) | −1.32288 | + | 2.29129i | −0.119280 | + | 0.206598i | ||||
\(124\) | −23.3739 | − | 13.4949i | −2.09903 | − | 1.21188i | ||||
\(125\) | −6.47135 | + | 9.11710i | −0.578815 | + | 0.815459i | ||||
\(126\) | −3.79129 | + | 6.56670i | −0.337755 | + | 0.585008i | ||||
\(127\) | 8.44178 | − | 4.87386i | 0.749087 | − | 0.432485i | −0.0762771 | − | 0.997087i | \(-0.524303\pi\) |
0.825364 | + | 0.564601i | \(0.190970\pi\) | |||||||
\(128\) | 6.38595 | + | 11.0608i | 0.564444 | + | 0.977645i | ||||
\(129\) | −1.41742 | −0.124797 | ||||||||
\(130\) | −14.5763 | + | 9.94813i | −1.27843 | + | 0.872509i | ||||
\(131\) | 1.58258 | 0.138270 | 0.0691351 | − | 0.997607i | \(-0.477976\pi\) | ||||
0.0691351 | + | 0.997607i | \(0.477976\pi\) | |||||||
\(132\) | 3.69253 | + | 6.39564i | 0.321393 | + | 0.556669i | ||||
\(133\) | 2.59808 | − | 1.50000i | 0.225282 | − | 0.130066i | ||||
\(134\) | 16.2695 | − | 28.1796i | 1.40547 | − | 2.43435i | ||||
\(135\) | 10.9445 | + | 2.28425i | 0.941953 | + | 0.196597i | ||||
\(136\) | 6.87386 | + | 3.96863i | 0.589429 | + | 0.340307i | ||||
\(137\) | −0.0476751 | + | 0.0825757i | −0.00407316 | + | 0.00705492i | −0.868055 | − | 0.496468i | \(-0.834630\pi\) |
0.863982 | + | 0.503523i | \(0.167963\pi\) | |||||||
\(138\) | 10.0308 | 0.853879 | ||||||||
\(139\) | 2.87386 | − | 4.97768i | 0.243758 | − | 0.422201i | −0.718024 | − | 0.696019i | \(-0.754953\pi\) |
0.961782 | + | 0.273817i | \(0.0882864\pi\) | |||||||
\(140\) | −10.2691 | + | 3.37849i | −0.867900 | + | 0.285534i | ||||
\(141\) | −7.58258 | + | 4.37780i | −0.638568 | + | 0.368677i | ||||
\(142\) | 7.79129i | 0.653830i | ||||||||
\(143\) | 6.61438 | − | 6.87386i | 0.553122 | − | 0.574821i | ||||
\(144\) | −3.58258 | −0.298548 | ||||||||
\(145\) | −9.73371 | + | 3.20233i | −0.808340 | + | 0.265939i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.46410 | + | 2.00000i | 0.285714 | + | 0.164957i | ||||
\(148\) | 22.1552 | 1.82114 | ||||||||
\(149\) | 8.45644 | + | 4.88233i | 0.692778 | + | 0.399976i | 0.804652 | − | 0.593747i | \(-0.202352\pi\) |
−0.111874 | + | 0.993722i | \(0.535685\pi\) | |||||||
\(150\) | 6.49803 | + | 8.80669i | 0.530562 | + | 0.719063i | ||||
\(151\) | − | 6.20520i | − | 0.504972i | −0.967601 | − | 0.252486i | \(-0.918752\pi\) | ||
0.967601 | − | 0.252486i | \(-0.0812482\pi\) | |||||||
\(152\) | −2.59808 | − | 1.50000i | −0.210732 | − | 0.121666i | ||||
\(153\) | −7.93725 | + | 4.58258i | −0.641689 | + | 0.370479i | ||||
\(154\) | 8.68693 | − | 5.01540i | 0.700013 | − | 0.404153i | ||||
\(155\) | 21.1652 | + | 4.41742i | 1.70003 | + | 0.354816i | ||||
\(156\) | 2.79129 | + | 9.66930i | 0.223482 | + | 0.774164i | ||||
\(157\) | 9.16515i | 0.731459i | 0.930721 | + | 0.365729i | \(0.119180\pi\) | ||||
−0.930721 | + | 0.365729i | \(0.880820\pi\) | |||||||
\(158\) | −6.56670 | − | 11.3739i | −0.522419 | − | 0.904856i | ||||
\(159\) | −0.791288 | − | 1.37055i | −0.0627532 | − | 0.108692i | ||||
\(160\) | −12.3125 | − | 11.0044i | −0.973389 | − | 0.869976i | ||||
\(161\) | − | 7.93725i | − | 0.625543i | ||||||
\(162\) | −1.09445 | + | 1.89564i | −0.0859882 | + | 0.148936i | ||||
\(163\) | −5.33918 | + | 9.24773i | −0.418197 | + | 0.724338i | −0.995758 | − | 0.0920093i | \(-0.970671\pi\) |
0.577561 | + | 0.816347i | \(0.304004\pi\) | |||||||
\(164\) | − | 7.38505i | − | 0.576676i | ||||||
\(165\) | −4.41105 | − | 3.94242i | −0.343399 | − | 0.306917i | ||||
\(166\) | 12.3739 | + | 21.4322i | 0.960398 | + | 1.66346i | ||||
\(167\) | −2.14123 | − | 3.70871i | −0.165693 | − | 0.286989i | 0.771208 | − | 0.636583i | \(-0.219653\pi\) |
−0.936901 | + | 0.349594i | \(0.886319\pi\) | |||||||
\(168\) | 3.00000i | 0.231455i | ||||||||
\(169\) | 11.0000 | − | 6.92820i | 0.846154 | − | 0.532939i | ||||
\(170\) | −21.9564 | − | 4.58258i | −1.68398 | − | 0.351468i | ||||
\(171\) | 3.00000 | − | 1.73205i | 0.229416 | − | 0.132453i | ||||
\(172\) | 3.42638 | − | 1.97822i | 0.261259 | − | 0.150838i | ||||
\(173\) | 6.42368 | + | 3.70871i | 0.488383 | + | 0.281968i | 0.723903 | − | 0.689901i | \(-0.242346\pi\) |
−0.235520 | + | 0.971869i | \(0.575679\pi\) | |||||||
\(174\) | 10.0308i | 0.760433i | ||||||||
\(175\) | 6.96863 | − | 5.14181i | 0.526779 | − | 0.388685i | ||||
\(176\) | 4.10436 | + | 2.36965i | 0.309377 | + | 0.178619i | ||||
\(177\) | −3.36875 | −0.253211 | ||||||||
\(178\) | −8.11800 | − | 4.68693i | −0.608470 | − | 0.351300i | ||||
\(179\) | −0.0825757 | − | 0.143025i | −0.00617200 | − | 0.0106902i | 0.862923 | − | 0.505336i | \(-0.168631\pi\) |
−0.869095 | + | 0.494645i | \(0.835298\pi\) | |||||||
\(180\) | −11.8578 | + | 3.90114i | −0.883826 | + | 0.290774i | ||||
\(181\) | −18.7477 | −1.39351 | −0.696754 | − | 0.717310i | \(-0.745373\pi\) | ||||
−0.696754 | + | 0.717310i | \(0.745373\pi\) | |||||||
\(182\) | 13.1334 | − | 3.79129i | 0.973513 | − | 0.281029i | ||||
\(183\) | − | 10.5826i | − | 0.782287i | ||||||
\(184\) | −6.87386 | + | 3.96863i | −0.506748 | + | 0.292571i | ||||
\(185\) | −16.8593 | + | 5.54661i | −1.23952 | + | 0.407795i | ||||
\(186\) | 10.5826 | − | 18.3296i | 0.775952 | − | 1.34399i | ||||
\(187\) | 12.1244 | 0.886621 | ||||||||
\(188\) | 12.2197 | − | 21.1652i | 0.891214 | − | 1.54363i | ||||
\(189\) | −7.50000 | − | 4.33013i | −0.545545 | − | 0.314970i | ||||
\(190\) | 8.29875 | + | 1.73205i | 0.602055 | + | 0.125656i | ||||
\(191\) | 3.70871 | − | 6.42368i | 0.268353 | − | 0.464801i | −0.700084 | − | 0.714061i | \(-0.746854\pi\) |
0.968437 | + | 0.249260i | \(0.0801873\pi\) | |||||||
\(192\) | −10.8968 | + | 6.29129i | −0.786411 | + | 0.454035i | ||||
\(193\) | −0.504525 | − | 0.873864i | −0.0363165 | − | 0.0629021i | 0.847296 | − | 0.531121i | \(-0.178229\pi\) |
−0.883612 | + | 0.468219i | \(0.844896\pi\) | |||||||
\(194\) | −9.79129 | −0.702973 | ||||||||
\(195\) | −4.54481 | − | 6.65918i | −0.325460 | − | 0.476874i | ||||
\(196\) | −11.1652 | −0.797511 | ||||||||
\(197\) | −9.98313 | − | 17.2913i | −0.711269 | − | 1.23195i | −0.964381 | − | 0.264516i | \(-0.914788\pi\) |
0.253113 | − | 0.967437i | \(-0.418546\pi\) | |||||||
\(198\) | 10.0308 | − | 5.79129i | 0.712858 | − | 0.411569i | ||||
\(199\) | 0.708712 | − | 1.22753i | 0.0502393 | − | 0.0870170i | −0.839812 | − | 0.542877i | \(-0.817335\pi\) |
0.890051 | + | 0.455860i | \(0.150668\pi\) | |||||||
\(200\) | −7.93725 | − | 3.46410i | −0.561249 | − | 0.244949i | ||||
\(201\) | 12.8739 | + | 7.43273i | 0.908052 | + | 0.524264i | ||||
\(202\) | −9.85005 | + | 17.0608i | −0.693047 | + | 1.20039i | ||||
\(203\) | 7.93725 | 0.557086 | ||||||||
\(204\) | −6.39564 | + | 11.0776i | −0.447785 | + | 0.775586i | ||||
\(205\) | 1.84887 | + | 5.61976i | 0.129131 | + | 0.392501i | ||||
\(206\) | −28.7477 | + | 16.5975i | −2.00295 | + | 1.15640i | ||||
\(207\) | − | 9.16515i | − | 0.637022i | ||||||
\(208\) | 4.65390 | + | 4.47822i | 0.322690 | + | 0.310509i | ||||
\(209\) | −4.58258 | −0.316983 | ||||||||
\(210\) | −2.64938 | − | 8.05296i | −0.182824 | − | 0.555707i | ||||
\(211\) | −9.08258 | − | 15.7315i | −0.625270 | − | 1.08300i | −0.988489 | − | 0.151296i | \(-0.951655\pi\) |
0.363218 | − | 0.931704i | \(-0.381678\pi\) | |||||||
\(212\) | 3.82560 | + | 2.20871i | 0.262743 | + | 0.151695i | ||||
\(213\) | −3.55945 | −0.243890 | ||||||||
\(214\) | −2.68693 | − | 1.55130i | −0.183675 | − | 0.106045i | ||||
\(215\) | −2.11210 | + | 2.36316i | −0.144044 | + | 0.161166i | ||||
\(216\) | 8.66025i | 0.589256i | ||||||||
\(217\) | −14.5040 | − | 8.37386i | −0.984593 | − | 0.568455i | ||||
\(218\) | −5.19615 | + | 3.00000i | −0.351928 | + | 0.203186i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 16.1652 | + | 3.37386i | 1.08985 | + | 0.227466i | ||||
\(221\) | 16.0390 | + | 3.96863i | 1.07890 | + | 0.266959i | ||||
\(222\) | 17.3739i | 1.16606i | ||||||||
\(223\) | −4.33013 | − | 7.50000i | −0.289967 | − | 0.502237i | 0.683835 | − | 0.729637i | \(-0.260311\pi\) |
−0.973801 | + | 0.227400i | \(0.926978\pi\) | |||||||
\(224\) | 6.39564 | + | 11.0776i | 0.427327 | + | 0.740152i | ||||
\(225\) | 8.04668 | − | 5.93725i | 0.536445 | − | 0.395817i | ||||
\(226\) | − | 36.2976i | − | 2.41448i | ||||||
\(227\) | 3.05493 | − | 5.29129i | 0.202763 | − | 0.351195i | −0.746655 | − | 0.665212i | \(-0.768341\pi\) |
0.949418 | + | 0.314016i | \(0.101675\pi\) | |||||||
\(228\) | 2.41733 | − | 4.18693i | 0.160091 | − | 0.277286i | ||||
\(229\) | 5.48220i | 0.362274i | 0.983458 | + | 0.181137i | \(0.0579778\pi\) | ||||
−0.983458 | + | 0.181137i | \(0.942022\pi\) | |||||||
\(230\) | 14.9468 | − | 16.7235i | 0.985566 | − | 1.10272i | ||||
\(231\) | 2.29129 | + | 3.96863i | 0.150756 | + | 0.261116i | ||||
\(232\) | −3.96863 | − | 6.87386i | −0.260553 | − | 0.451291i | ||||
\(233\) | 21.1652i | 1.38658i | 0.720661 | + | 0.693288i | \(0.243838\pi\) | ||||
−0.720661 | + | 0.693288i | \(0.756162\pi\) | |||||||
\(234\) | 15.1652 | − | 4.37780i | 0.991377 | − | 0.286186i | ||||
\(235\) | −4.00000 | + | 19.1652i | −0.260931 | + | 1.25020i | ||||
\(236\) | 8.14337 | − | 4.70158i | 0.530088 | − | 0.306047i | ||||
\(237\) | 5.19615 | − | 3.00000i | 0.337526 | − | 0.194871i | ||||
\(238\) | 15.0462 | + | 8.68693i | 0.975301 | + | 0.563090i | ||||
\(239\) | 20.9753i | 1.35678i | 0.734702 | + | 0.678390i | \(0.237322\pi\) | ||||
−0.734702 | + | 0.678390i | \(0.762678\pi\) | |||||||
\(240\) | 2.66919 | − | 2.98647i | 0.172295 | − | 0.192776i | ||||
\(241\) | −1.50000 | − | 0.866025i | −0.0966235 | − | 0.0557856i | 0.450910 | − | 0.892570i | \(-0.351100\pi\) |
−0.547533 | + | 0.836784i | \(0.684433\pi\) | |||||||
\(242\) | 8.75560 | 0.562832 | ||||||||
\(243\) | −13.8564 | − | 8.00000i | −0.888889 | − | 0.513200i | ||||
\(244\) | 14.7695 | + | 25.5815i | 0.945521 | + | 1.63769i | ||||
\(245\) | 8.49628 | − | 2.79523i | 0.542807 | − | 0.178580i | ||||
\(246\) | 5.79129 | 0.369239 | ||||||||
\(247\) | −6.06218 | − | 1.50000i | −0.385727 | − | 0.0954427i | ||||
\(248\) | 16.7477i | 1.06348i | ||||||||
\(249\) | −9.79129 | + | 5.65300i | −0.620498 | + | 0.358244i | ||||
\(250\) | 24.3654 | + | 2.28916i | 1.54100 | + | 0.144779i | ||||
\(251\) | −9.08258 | + | 15.7315i | −0.573287 | + | 0.992962i | 0.422938 | + | 0.906158i | \(0.360999\pi\) |
−0.996225 | + | 0.0868039i | \(0.972335\pi\) | |||||||
\(252\) | 9.66930 | 0.609109 | ||||||||
\(253\) | −6.06218 | + | 10.5000i | −0.381126 | + | 0.660129i | ||||
\(254\) | −18.4782 | − | 10.6684i | −1.15943 | − | 0.669395i | ||||
\(255\) | 2.09355 | − | 10.0308i | 0.131103 | − | 0.628153i | ||||
\(256\) | 1.39564 | − | 2.41733i | 0.0872277 | − | 0.151083i | ||||
\(257\) | −0.143025 | + | 0.0825757i | −0.00892167 | + | 0.00515093i | −0.504454 | − | 0.863438i | \(-0.668306\pi\) |
0.495533 | + | 0.868589i | \(0.334973\pi\) | |||||||
\(258\) | 1.55130 | + | 2.68693i | 0.0965798 | + | 0.167281i | ||||
\(259\) | 13.7477 | 0.854242 | ||||||||
\(260\) | 20.2801 | + | 9.75449i | 1.25772 | + | 0.604948i | ||||
\(261\) | 9.16515 | 0.567309 | ||||||||
\(262\) | −1.73205 | − | 3.00000i | −0.107006 | − | 0.185341i | ||||
\(263\) | 7.79423 | − | 4.50000i | 0.480613 | − | 0.277482i | −0.240059 | − | 0.970758i | \(-0.577167\pi\) |
0.720672 | + | 0.693276i | \(0.243833\pi\) | |||||||
\(264\) | 2.29129 | − | 3.96863i | 0.141019 | − | 0.244252i | ||||
\(265\) | −3.46410 | − | 0.723000i | −0.212798 | − | 0.0444135i | ||||
\(266\) | −5.68693 | − | 3.28335i | −0.348688 | − | 0.201315i | ||||
\(267\) | 2.14123 | − | 3.70871i | 0.131041 | − | 0.226969i | ||||
\(268\) | −41.4938 | −2.53464 | ||||||||
\(269\) | −7.50000 | + | 12.9904i | −0.457283 | + | 0.792038i | −0.998816 | − | 0.0486418i | \(-0.984511\pi\) |
0.541533 | + | 0.840679i | \(0.317844\pi\) | |||||||
\(270\) | −7.64809 | − | 23.2469i | −0.465448 | − | 1.41476i | ||||
\(271\) | 7.50000 | − | 4.33013i | 0.455593 | − | 0.263036i | −0.254597 | − | 0.967047i | \(-0.581943\pi\) |
0.710189 | + | 0.704011i | \(0.248609\pi\) | |||||||
\(272\) | 8.20871i | 0.497726i | ||||||||
\(273\) | 1.73205 | + | 6.00000i | 0.104828 | + | 0.363137i | ||||
\(274\) | 0.208712 | 0.0126088 | ||||||||
\(275\) | −13.1458 | + | 1.47960i | −0.792719 | + | 0.0892234i | ||||
\(276\) | −6.39564 | − | 11.0776i | −0.384973 | − | 0.666792i | ||||
\(277\) | −14.3609 | − | 8.29129i | −0.862865 | − | 0.498175i | 0.00210581 | − | 0.999998i | \(-0.499330\pi\) |
−0.864971 | + | 0.501823i | \(0.832663\pi\) | |||||||
\(278\) | −12.5812 | −0.754571 | ||||||||
\(279\) | −16.7477 | − | 9.66930i | −1.00266 | − | 0.578886i | ||||
\(280\) | 5.00166 | + | 4.47028i | 0.298906 | + | 0.267151i | ||||
\(281\) | 17.5112i | 1.04463i | 0.852752 | + | 0.522316i | \(0.174932\pi\) | ||||
−0.852752 | + | 0.522316i | \(0.825068\pi\) | |||||||
\(282\) | 16.5975 | + | 9.58258i | 0.988367 | + | 0.570634i | ||||
\(283\) | −0.218475 | + | 0.126136i | −0.0129870 | + | 0.00749803i | −0.506479 | − | 0.862252i | \(-0.669053\pi\) |
0.493492 | + | 0.869750i | \(0.335720\pi\) | |||||||
\(284\) | 8.60436 | − | 4.96773i | 0.510575 | − | 0.294780i | ||||
\(285\) | −0.791288 | + | 3.79129i | −0.0468718 | + | 0.224577i | ||||
\(286\) | −20.2695 | − | 5.01540i | −1.19856 | − | 0.296567i | ||||
\(287\) | − | 4.58258i | − | 0.270501i | ||||||
\(288\) | 7.38505 | + | 12.7913i | 0.435168 | + | 0.753734i | ||||
\(289\) | 2.00000 | + | 3.46410i | 0.117647 | + | 0.203771i | ||||
\(290\) | 16.7235 | + | 14.9468i | 0.982040 | + | 0.877709i | ||||
\(291\) | − | 4.47315i | − | 0.262221i | ||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −11.7152 | + | 20.2913i | −0.684408 | + | 1.18543i | 0.289214 | + | 0.957264i | \(0.406606\pi\) |
−0.973622 | + | 0.228165i | \(0.926727\pi\) | |||||||
\(294\) | − | 8.75560i | − | 0.510637i | ||||||
\(295\) | −5.01976 | + | 5.61645i | −0.292262 | + | 0.327002i | ||||
\(296\) | −6.87386 | − | 11.9059i | −0.399535 | − | 0.692015i | ||||
\(297\) | 6.61438 | + | 11.4564i | 0.383805 | + | 0.664770i | ||||
\(298\) | − | 21.3739i | − | 1.23815i | ||||||
\(299\) | −11.4564 | + | 11.9059i | −0.662543 | + | 0.688535i | ||||
\(300\) | 5.58258 | − | 12.7913i | 0.322310 | − | 0.738505i | ||||
\(301\) | 2.12614 | − | 1.22753i | 0.122548 | − | 0.0707534i | ||||
\(302\) | −11.7629 | + | 6.79129i | −0.676876 | + | 0.390795i | ||||
\(303\) | −7.79423 | − | 4.50000i | −0.447767 | − | 0.258518i | ||||
\(304\) | − | 3.10260i | − | 0.177946i | ||||||
\(305\) | −17.6435 | − | 15.7690i | −1.01026 | − | 0.902932i | ||||
\(306\) | 17.3739 | + | 10.0308i | 0.993198 | + | 0.573423i | ||||
\(307\) | 24.2487 | 1.38395 | 0.691974 | − | 0.721923i | \(-0.256741\pi\) | ||||
0.691974 | + | 0.721923i | \(0.256741\pi\) | |||||||
\(308\) | −11.0776 | − | 6.39564i | −0.631204 | − | 0.364426i | ||||
\(309\) | −7.58258 | − | 13.1334i | −0.431358 | − | 0.747133i | ||||
\(310\) | −14.7903 | − | 44.9562i | −0.840035 | − | 2.55334i | ||||
\(311\) | −1.58258 | −0.0897396 | −0.0448698 | − | 0.998993i | \(-0.514287\pi\) | ||||
−0.0448698 | + | 0.998993i | \(0.514287\pi\) | |||||||
\(312\) | 4.33013 | − | 4.50000i | 0.245145 | − | 0.254762i | ||||
\(313\) | − | 30.7477i | − | 1.73796i | −0.494843 | − | 0.868982i | \(-0.664775\pi\) | ||
0.494843 | − | 0.868982i | \(-0.335225\pi\) | |||||||
\(314\) | 17.3739 | − | 10.0308i | 0.980464 | − | 0.566071i | ||||
\(315\) | −7.35799 | + | 2.42074i | −0.414576 | + | 0.136393i | ||||
\(316\) | −8.37386 | + | 14.5040i | −0.471067 | + | 0.815911i | ||||
\(317\) | 20.9753 | 1.17809 | 0.589045 | − | 0.808100i | \(-0.299504\pi\) | ||||
0.589045 | + | 0.808100i | \(0.299504\pi\) | |||||||
\(318\) | −1.73205 | + | 3.00000i | −0.0971286 | + | 0.168232i | ||||
\(319\) | −10.5000 | − | 6.06218i | −0.587887 | − | 0.339417i | ||||
\(320\) | −5.74835 | + | 27.5420i | −0.321343 | + | 1.53965i | ||||
\(321\) | 0.708712 | − | 1.22753i | 0.0395565 | − | 0.0685138i | ||||
\(322\) | −15.0462 | + | 8.68693i | −0.838492 | + | 0.484104i | ||||
\(323\) | −3.96863 | − | 6.87386i | −0.220820 | − | 0.382472i | ||||
\(324\) | 2.79129 | 0.155072 | ||||||||
\(325\) | −17.8745 | − | 2.34563i | −0.991499 | − | 0.130112i | ||||
\(326\) | 23.3739 | 1.29456 | ||||||||
\(327\) | −1.37055 | − | 2.37386i | −0.0757916 | − | 0.131275i | ||||
\(328\) | −3.96863 | + | 2.29129i | −0.219131 | + | 0.126515i | ||||
\(329\) | 7.58258 | − | 13.1334i | 0.418041 | − | 0.724068i | ||||
\(330\) | −2.64575 | + | 12.6766i | −0.145644 | + | 0.697821i | ||||
\(331\) | 9.87386 | + | 5.70068i | 0.542717 | + | 0.313338i | 0.746179 | − | 0.665745i | \(-0.231886\pi\) |
−0.203463 | + | 0.979083i | \(0.565220\pi\) | |||||||
\(332\) | 15.7792 | − | 27.3303i | 0.865994 | − | 1.49995i | ||||
\(333\) | 15.8745 | 0.869918 | ||||||||
\(334\) | −4.68693 | + | 8.11800i | −0.256457 | + | 0.444197i | ||||
\(335\) | 31.5753 | − | 10.3881i | 1.72514 | − | 0.567561i | ||||
\(336\) | −2.68693 | + | 1.55130i | −0.146584 | + | 0.0846304i | ||||
\(337\) | − | 3.25227i | − | 0.177163i | −0.996069 | − | 0.0885813i | \(-0.971767\pi\) | ||
0.996069 | − | 0.0885813i | \(-0.0282333\pi\) | |||||||
\(338\) | −25.1724 | − | 13.2695i | −1.36920 | − | 0.721766i | ||||
\(339\) | 16.5826 | 0.900642 | ||||||||
\(340\) | 8.93864 | + | 27.1696i | 0.484766 | + | 1.47348i | ||||
\(341\) | 12.7913 | + | 22.1552i | 0.692687 | + | 1.19977i | ||||
\(342\) | −6.56670 | − | 3.79129i | −0.355087 | − | 0.205009i | ||||
\(343\) | −19.0526 | −1.02874 | ||||||||
\(344\) | −2.12614 | − | 1.22753i | −0.114634 | − | 0.0661837i | ||||
\(345\) | 7.64016 | + | 6.82847i | 0.411332 | + | 0.367633i | ||||
\(346\) | − | 16.2360i | − | 0.872853i | ||||||
\(347\) | 13.2764 | + | 7.66515i | 0.712716 | + | 0.411487i | 0.812066 | − | 0.583566i | \(-0.198343\pi\) |
−0.0993497 | + | 0.995053i | \(0.531676\pi\) | |||||||
\(348\) | 11.0776 | − | 6.39564i | 0.593821 | − | 0.342843i | ||||
\(349\) | 15.8739 | − | 9.16478i | 0.849708 | − | 0.490579i | −0.0108440 | − | 0.999941i | \(-0.503452\pi\) |
0.860552 | + | 0.509362i | \(0.170118\pi\) | |||||||
\(350\) | −17.3739 | − | 7.58258i | −0.928672 | − | 0.405306i | ||||
\(351\) | 5.00000 | + | 17.3205i | 0.266880 | + | 0.924500i | ||||
\(352\) | − | 19.5390i | − | 1.04143i | ||||||
\(353\) | 8.70793 | + | 15.0826i | 0.463476 | + | 0.802765i | 0.999131 | − | 0.0416724i | \(-0.0132686\pi\) |
−0.535655 | + | 0.844437i | \(0.679935\pi\) | |||||||
\(354\) | 3.68693 | + | 6.38595i | 0.195958 | + | 0.339410i | ||||
\(355\) | −5.30392 | + | 5.93438i | −0.281503 | + | 0.314964i | ||||
\(356\) | 11.9536i | 0.633537i | ||||||||
\(357\) | −3.96863 | + | 6.87386i | −0.210042 | + | 0.363803i | ||||
\(358\) | −0.180750 | + | 0.313068i | −0.00955294 | + | 0.0165462i | ||||
\(359\) | − | 33.3857i | − | 1.76203i | −0.473088 | − | 0.881015i | \(-0.656861\pi\) | ||
0.473088 | − | 0.881015i | \(-0.343139\pi\) | |||||||
\(360\) | 5.77542 | + | 5.16184i | 0.304391 | + | 0.272053i | ||||
\(361\) | −8.00000 | − | 13.8564i | −0.421053 | − | 0.729285i | ||||
\(362\) | 20.5185 | + | 35.5390i | 1.07843 | + | 1.86789i | ||||
\(363\) | 4.00000i | 0.209946i | ||||||||
\(364\) | −12.5608 | − | 12.0866i | −0.658365 | − | 0.633512i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −20.0608 | + | 11.5821i | −1.04859 | + | 0.605406i | ||||
\(367\) | −22.2982 | + | 12.8739i | −1.16396 | + | 0.672010i | −0.952249 | − | 0.305323i | \(-0.901236\pi\) |
−0.211707 | + | 0.977333i | \(0.567902\pi\) | |||||||
\(368\) | −7.10895 | − | 4.10436i | −0.370580 | − | 0.213954i | ||||
\(369\) | − | 5.29150i | − | 0.275465i | ||||||
\(370\) | 28.9660 | + | 25.8887i | 1.50587 | + | 1.34589i | ||||
\(371\) | 2.37386 | + | 1.37055i | 0.123245 | + | 0.0711554i | ||||
\(372\) | −26.9898 | −1.39936 | ||||||||
\(373\) | 11.2583 | + | 6.50000i | 0.582934 | + | 0.336557i | 0.762299 | − | 0.647225i | \(-0.224071\pi\) |
−0.179364 | + | 0.983783i | \(0.557404\pi\) | |||||||
\(374\) | −13.2695 | − | 22.9835i | −0.686150 | − | 1.18845i | ||||
\(375\) | −1.04580 | + | 11.1313i | −0.0540051 | + | 0.574819i | ||||
\(376\) | −15.1652 | −0.782083 | ||||||||
\(377\) | −11.9059 | − | 11.4564i | −0.613184 | − | 0.590037i | ||||
\(378\) | 18.9564i | 0.975014i | ||||||||
\(379\) | 18.2477 | − | 10.5353i | 0.937323 | − | 0.541164i | 0.0482027 | − | 0.998838i | \(-0.484651\pi\) |
0.889120 | + | 0.457674i | \(0.151317\pi\) | |||||||
\(380\) | −3.37849 | − | 10.2691i | −0.173313 | − | 0.526796i | ||||
\(381\) | 4.87386 | − | 8.44178i | 0.249696 | − | 0.432485i | ||||
\(382\) | −16.2360 | −0.830706 | ||||||||
\(383\) | −1.41823 | + | 2.45644i | −0.0724680 | + | 0.125518i | −0.899982 | − | 0.435926i | \(-0.856421\pi\) |
0.827514 | + | 0.561444i | \(0.189754\pi\) | |||||||
\(384\) | 11.0608 | + | 6.38595i | 0.564444 | + | 0.325882i | ||||
\(385\) | 10.0308 | + | 2.09355i | 0.511217 | + | 0.106697i | ||||
\(386\) | −1.10436 | + | 1.91280i | −0.0562102 | + | 0.0973590i | ||||
\(387\) | 2.45505 | − | 1.41742i | 0.124797 | − | 0.0720517i | ||||
\(388\) | 6.24293 | + | 10.8131i | 0.316937 | + | 0.548950i | ||||
\(389\) | −15.1652 | −0.768904 | −0.384452 | − | 0.923145i | \(-0.625610\pi\) | ||||
−0.384452 | + | 0.923145i | \(0.625610\pi\) | |||||||
\(390\) | −7.64938 | + | 15.9035i | −0.387341 | + | 0.805304i | ||||
\(391\) | −21.0000 | −1.06202 | ||||||||
\(392\) | 3.46410 | + | 6.00000i | 0.174964 | + | 0.303046i | ||||
\(393\) | 1.37055 | − | 0.791288i | 0.0691351 | − | 0.0399152i | ||||
\(394\) | −21.8521 | + | 37.8489i | −1.10089 | + | 1.90680i | ||||
\(395\) | 2.74110 | − | 13.1334i | 0.137920 | − | 0.660813i | ||||
\(396\) | −12.7913 | − | 7.38505i | −0.642786 | − | 0.371113i | ||||
\(397\) | 13.6379 | − | 23.6216i | 0.684468 | − | 1.18553i | −0.289135 | − | 0.957288i | \(-0.593368\pi\) |
0.973604 | − | 0.228245i | \(-0.0732989\pi\) | |||||||
\(398\) | −3.10260 | −0.155519 | ||||||||
\(399\) | 1.50000 | − | 2.59808i | 0.0750939 | − | 0.130066i | ||||
\(400\) | −1.00175 | − | 8.90024i | −0.0500877 | − | 0.445012i | ||||
\(401\) | 10.8303 | − | 6.25288i | 0.540840 | − | 0.312254i | −0.204580 | − | 0.978850i | \(-0.565583\pi\) |
0.745419 | + | 0.666596i | \(0.232249\pi\) | |||||||
\(402\) | − | 32.5390i | − | 1.62290i | ||||||
\(403\) | 9.66930 | + | 33.4955i | 0.481662 | + | 1.66853i | ||||
\(404\) | 25.1216 | 1.24985 | ||||||||
\(405\) | −2.12407 | + | 0.698807i | −0.105546 | + | 0.0347240i | ||||
\(406\) | −8.68693 | − | 15.0462i | −0.431125 | − | 0.746731i | ||||
\(407\) | −18.1865 | − | 10.5000i | −0.901473 | − | 0.520466i | ||||
\(408\) | 7.93725 | 0.392953 | ||||||||
\(409\) | 7.50000 | + | 4.33013i | 0.370851 | + | 0.214111i | 0.673830 | − | 0.738886i | \(-0.264648\pi\) |
−0.302979 | + | 0.952997i | \(0.597981\pi\) | |||||||
\(410\) | 8.62957 | − | 9.65534i | 0.426184 | − | 0.476843i | ||||
\(411\) | 0.0953502i | 0.00470328i | ||||||||
\(412\) | 36.6591 | + | 21.1652i | 1.80607 | + | 1.04273i | ||||
\(413\) | 5.05313 | − | 2.91742i | 0.248648 | − | 0.143557i | ||||
\(414\) | −17.3739 | + | 10.0308i | −0.853879 | + | 0.492987i | ||||
\(415\) | −5.16515 | + | 24.7477i | −0.253547 | + | 1.21482i | ||||
\(416\) | 6.39564 | − | 25.8477i | 0.313572 | − | 1.26729i | ||||
\(417\) | − | 5.74773i | − | 0.281467i | ||||||
\(418\) | 5.01540 | + | 8.68693i | 0.245311 | + | 0.424892i | ||||
\(419\) | −12.0826 | − | 20.9276i | −0.590272 | − | 1.02238i | −0.994195 | − | 0.107589i | \(-0.965687\pi\) |
0.403923 | − | 0.914793i | \(-0.367646\pi\) | |||||||
\(420\) | −7.20409 | + | 8.06042i | −0.351524 | + | 0.393308i | ||||
\(421\) | 26.2668i | 1.28017i | 0.768306 | + | 0.640083i | \(0.221100\pi\) | ||||
−0.768306 | + | 0.640083i | \(0.778900\pi\) | |||||||
\(422\) | −19.8809 | + | 34.4347i | −0.967785 | + | 1.67625i | ||||
\(423\) | 8.75560 | − | 15.1652i | 0.425712 | − | 0.737355i | ||||
\(424\) | − | 2.74110i | − | 0.133120i | ||||||
\(425\) | −13.6040 | − | 18.4373i | −0.659889 | − | 0.894338i | ||||
\(426\) | 3.89564 | + | 6.74745i | 0.188745 | + | 0.326915i | ||||
\(427\) | 9.16478 | + | 15.8739i | 0.443515 | + | 0.768190i | ||||
\(428\) | 3.95644i | 0.191242i | ||||||||
\(429\) | 2.29129 | − | 9.26013i | 0.110624 | − | 0.447083i | ||||
\(430\) | 6.79129 | + | 1.41742i | 0.327505 | + | 0.0683543i | ||||
\(431\) | 25.6652 | − | 14.8178i | 1.23625 | − | 0.713747i | 0.267922 | − | 0.963441i | \(-0.413663\pi\) |
0.968325 | + | 0.249693i | \(0.0803298\pi\) | |||||||
\(432\) | −7.75650 | + | 4.47822i | −0.373185 | + | 0.215458i | ||||
\(433\) | 15.3700 | + | 8.87386i | 0.738634 | + | 0.426451i | 0.821573 | − | 0.570104i | \(-0.193097\pi\) |
−0.0829383 | + | 0.996555i | \(0.526430\pi\) | |||||||
\(434\) | 36.6591i | 1.75969i | ||||||||
\(435\) | −6.82847 | + | 7.64016i | −0.327400 | + | 0.366317i | ||||
\(436\) | 6.62614 | + | 3.82560i | 0.317334 | + | 0.183213i | ||||
\(437\) | 7.93725 | 0.379690 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 20.2477 | + | 35.0701i | 0.966371 | + | 1.67380i | 0.705885 | + | 0.708327i | \(0.250550\pi\) |
0.260487 | + | 0.965477i | \(0.416117\pi\) | |||||||
\(440\) | −3.20233 | − | 9.73371i | −0.152665 | − | 0.464036i | ||||
\(441\) | −8.00000 | −0.380952 | ||||||||
\(442\) | −10.0308 | − | 34.7477i | −0.477117 | − | 1.65278i | ||||
\(443\) | − | 25.9129i | − | 1.23116i | −0.788075 | − | 0.615579i | \(-0.788922\pi\) | ||
0.788075 | − | 0.615579i | \(-0.211078\pi\) | |||||||
\(444\) | 19.1869 | − | 11.0776i | 0.910571 | − | 0.525719i | ||||
\(445\) | −2.99261 | − | 9.09622i | −0.141863 | − | 0.431202i | ||||
\(446\) | −9.47822 | + | 16.4168i | −0.448807 | + | 0.777356i | ||||
\(447\) | 9.76465 | 0.461852 | ||||||||
\(448\) | 10.8968 | − | 18.8739i | 0.514827 | − | 0.891706i | ||||
\(449\) | 32.4564 | + | 18.7387i | 1.53171 | + | 0.884336i | 0.999283 | + | 0.0378622i | \(0.0120548\pi\) |
0.532431 | + | 0.846473i | \(0.321279\pi\) | |||||||
\(450\) | −20.0616 | − | 8.75560i | −0.945713 | − | 0.412743i | ||||
\(451\) | −3.50000 | + | 6.06218i | −0.164809 | + | 0.285457i | ||||
\(452\) | −40.0855 | + | 23.1434i | −1.88546 | + | 1.08857i | ||||
\(453\) | −3.10260 | − | 5.37386i | −0.145773 | − | 0.252486i | ||||
\(454\) | −13.3739 | −0.627667 | ||||||||
\(455\) | 12.5842 | + | 6.05286i | 0.589958 | + | 0.283762i | ||||
\(456\) | −3.00000 | −0.140488 | ||||||||
\(457\) | 0.866025 | + | 1.50000i | 0.0405110 | + | 0.0701670i | 0.885570 | − | 0.464506i | \(-0.153768\pi\) |
−0.845059 | + | 0.534673i | \(0.820435\pi\) | |||||||
\(458\) | 10.3923 | − | 6.00000i | 0.485601 | − | 0.280362i | ||||
\(459\) | −11.4564 | + | 19.8431i | −0.534741 | + | 0.926198i | ||||
\(460\) | −27.9989 | − | 5.84370i | −1.30545 | − | 0.272464i | ||||
\(461\) | −1.03901 | − | 0.599876i | −0.0483917 | − | 0.0279390i | 0.475609 | − | 0.879657i | \(-0.342228\pi\) |
−0.524001 | + | 0.851718i | \(0.675561\pi\) | |||||||
\(462\) | 5.01540 | − | 8.68693i | 0.233338 | − | 0.404153i | ||||
\(463\) | −8.22330 | −0.382169 | −0.191085 | − | 0.981574i | \(-0.561201\pi\) | ||||
−0.191085 | + | 0.981574i | \(0.561201\pi\) | |||||||
\(464\) | 4.10436 | − | 7.10895i | 0.190540 | − | 0.330025i | ||||
\(465\) | 20.5383 | − | 6.75697i | 0.952440 | − | 0.313347i | ||||
\(466\) | 40.1216 | − | 23.1642i | 1.85860 | − | 1.07306i | ||||
\(467\) | − | 12.3303i | − | 0.570578i | −0.958441 | − | 0.285289i | \(-0.907910\pi\) | ||
0.958441 | − | 0.285289i | \(-0.0920896\pi\) | |||||||
\(468\) | −14.5040 | − | 13.9564i | −0.670446 | − | 0.645137i | ||||
\(469\) | −25.7477 | −1.18892 | ||||||||
\(470\) | 40.7081 | − | 13.3927i | 1.87772 | − | 0.617761i | ||||
\(471\) | 4.58258 | + | 7.93725i | 0.211154 | + | 0.365729i | ||||
\(472\) | −5.05313 | − | 2.91742i | −0.232589 | − | 0.134285i | ||||
\(473\) | −3.75015 | −0.172432 | ||||||||
\(474\) | −11.3739 | − | 6.56670i | −0.522419 | − | 0.301619i | ||||
\(475\) | 5.14181 | + | 6.96863i | 0.235923 | + | 0.319743i | ||||
\(476\) | − | 22.1552i | − | 1.01548i | ||||||
\(477\) | 2.74110 | + | 1.58258i | 0.125506 | + | 0.0724612i | ||||
\(478\) | 39.7617 | − | 22.9564i | 1.81866 | − | 1.05000i | ||||
\(479\) | −28.0390 | + | 16.1883i | −1.28114 | + | 0.739664i | −0.977056 | − | 0.212983i | \(-0.931682\pi\) |
−0.304079 | + | 0.952647i | \(0.598349\pi\) | |||||||
\(480\) | −16.1652 | − | 3.37386i | −0.737835 | − | 0.153995i | ||||
\(481\) | −20.6216 | − | 19.8431i | −0.940264 | − | 0.904769i | ||||
\(482\) | 3.79129i | 0.172688i | ||||||||
\(483\) | −3.96863 | − | 6.87386i | −0.180579 | − | 0.312772i | ||||
\(484\) | −5.58258 | − | 9.66930i | −0.253753 | − | 0.439514i | ||||
\(485\) | −7.45772 | − | 6.66542i | −0.338638 | − | 0.302661i | ||||
\(486\) | 35.0224i | 1.58865i | ||||||||
\(487\) | −10.5353 | + | 18.2477i | −0.477401 | + | 0.826883i | −0.999665 | − | 0.0259009i | \(-0.991755\pi\) |
0.522263 | + | 0.852784i | \(0.325088\pi\) | |||||||
\(488\) | 9.16478 | − | 15.8739i | 0.414870 | − | 0.718576i | ||||
\(489\) | 10.6784i | 0.482892i | ||||||||
\(490\) | −14.5975 | − | 13.0467i | −0.659448 | − | 0.589389i | ||||
\(491\) | −14.2913 | − | 24.7532i | −0.644957 | − | 1.11710i | −0.984311 | − | 0.176439i | \(-0.943542\pi\) |
0.339355 | − | 0.940658i | \(-0.389791\pi\) | |||||||
\(492\) | −3.69253 | − | 6.39564i | −0.166472 | − | 0.288338i | ||||
\(493\) | − | 21.0000i | − | 0.945792i | ||||||
\(494\) | 3.79129 | + | 13.1334i | 0.170578 | + | 0.590900i | ||||
\(495\) | 11.5826 | + | 2.41742i | 0.520598 | + | 0.108655i | ||||
\(496\) | −15.0000 | + | 8.66025i | −0.673520 | + | 0.388857i | ||||
\(497\) | 5.33918 | − | 3.08258i | 0.239495 | − | 0.138272i | ||||
\(498\) | 21.4322 | + | 12.3739i | 0.960398 | + | 0.554486i | ||||
\(499\) | − | 16.5975i | − | 0.743006i | −0.928432 | − | 0.371503i | \(-0.878842\pi\) | ||
0.928432 | − | 0.371503i | \(-0.121158\pi\) | |||||||
\(500\) | −13.0073 | − | 28.3676i | −0.581705 | − | 1.26864i | ||||
\(501\) | −3.70871 | − | 2.14123i | −0.165693 | − | 0.0956629i | ||||
\(502\) | 39.7617 | 1.77465 | ||||||||
\(503\) | 15.7315 | + | 9.08258i | 0.701432 | + | 0.404972i | 0.807881 | − | 0.589346i | \(-0.200615\pi\) |
−0.106448 | + | 0.994318i | \(0.533948\pi\) | |||||||
\(504\) | −3.00000 | − | 5.19615i | −0.133631 | − | 0.231455i | ||||
\(505\) | −19.1166 | + | 6.28926i | −0.850678 | + | 0.279868i | ||||
\(506\) | 26.5390 | 1.17980 | ||||||||
\(507\) | 6.06218 | − | 11.5000i | 0.269231 | − | 0.510733i | ||||
\(508\) | 27.2087i | 1.20719i | ||||||||
\(509\) | −25.6652 | + | 14.8178i | −1.13759 | + | 0.656787i | −0.945832 | − | 0.324656i | \(-0.894751\pi\) |
−0.191756 | + | 0.981443i | \(0.561418\pi\) | |||||||
\(510\) | −21.3061 | + | 7.00959i | −0.943451 | + | 0.310390i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 19.4340 | 0.858868 | ||||||||
\(513\) | 4.33013 | − | 7.50000i | 0.191180 | − | 0.331133i | ||||
\(514\) | 0.313068 | + | 0.180750i | 0.0138088 | + | 0.00797254i | ||||
\(515\) | −33.1950 | − | 6.92820i | −1.46275 | − | 0.305293i | ||||
\(516\) | 1.97822 | − | 3.42638i | 0.0870863 | − | 0.150838i | ||||
\(517\) | −20.0616 | + | 11.5826i | −0.882309 | + | 0.509401i | ||||
\(518\) | −15.0462 | − | 26.0608i | −0.661092 | − | 1.14505i | ||||
\(519\) | 7.41742 | 0.325589 | ||||||||
\(520\) | −1.05019 | − | 13.9247i | −0.0460537 | − | 0.610638i | ||||
\(521\) | −27.4955 | −1.20460 | −0.602299 | − | 0.798271i | \(-0.705748\pi\) | ||||
−0.602299 | + | 0.798271i | \(0.705748\pi\) | |||||||
\(522\) | −10.0308 | − | 17.3739i | −0.439036 | − | 0.760433i | ||||
\(523\) | −15.7315 | + | 9.08258i | −0.687890 | + | 0.397153i | −0.802821 | − | 0.596220i | \(-0.796669\pi\) |
0.114931 | + | 0.993373i | \(0.463335\pi\) | |||||||
\(524\) | −2.20871 | + | 3.82560i | −0.0964880 | + | 0.167122i | ||||
\(525\) | 3.46410 | − | 7.93725i | 0.151186 | − | 0.346410i | ||||
\(526\) | −17.0608 | − | 9.85005i | −0.743886 | − | 0.429483i | ||||
\(527\) | −22.1552 | + | 38.3739i | −0.965094 | + | 1.67159i | ||||
\(528\) | 4.73930 | 0.206252 | ||||||||
\(529\) | −1.00000 | + | 1.73205i | −0.0434783 | + | 0.0753066i | ||||
\(530\) | 2.42074 | + | 7.35799i | 0.105150 | + | 0.319611i | ||||
\(531\) | 5.83485 | − | 3.36875i | 0.253211 | − | 0.146191i | ||||
\(532\) | 8.37386i | 0.363053i | ||||||||
\(533\) | −6.61438 | + | 6.87386i | −0.286501 | + | 0.297740i | ||||
\(534\) | −9.37386 | −0.405647 | ||||||||
\(535\) | −0.990505 | − | 3.01071i | −0.0428233 | − | 0.130164i | ||||
\(536\) | 12.8739 | + | 22.2982i | 0.556066 | + | 0.963135i | ||||
\(537\) | −0.143025 | − | 0.0825757i | −0.00617200 | − | 0.00356340i | ||||
\(538\) | 32.8335 | 1.41555 | ||||||||
\(539\) | 9.16515 | + | 5.29150i | 0.394771 | + | 0.227921i | ||||
\(540\) | −20.7964 | + | 23.2684i | −0.894935 | + | 1.00131i | ||||
\(541\) | 10.3923i | 0.446800i | 0.974727 | + | 0.223400i | \(0.0717156\pi\) | ||||
−0.974727 | + | 0.223400i | \(0.928284\pi\) | |||||||
\(542\) | −16.4168 | − | 9.47822i | −0.705160 | − | 0.407124i | ||||
\(543\) | −16.2360 | + | 9.37386i | −0.696754 | + | 0.402271i | ||||
\(544\) | 29.3085 | − | 16.9213i | 1.25659 | − | 0.725494i | ||||
\(545\) | −6.00000 | − | 1.25227i | −0.257012 | − | 0.0536415i | ||||
\(546\) | 9.47822 | − | 9.85005i | 0.405630 | − | 0.421543i | ||||
\(547\) | − | 1.25227i | − | 0.0535433i | −0.999642 | − | 0.0267717i | \(-0.991477\pi\) | ||
0.999642 | − | 0.0267717i | \(-0.00852270\pi\) | |||||||
\(548\) | −0.133075 | − | 0.230493i | −0.00568468 | − | 0.00984615i | ||||
\(549\) | 10.5826 | + | 18.3296i | 0.451653 | + | 0.782287i | ||||
\(550\) | 17.1922 | + | 23.3003i | 0.733077 | + | 0.993529i | ||||
\(551\) | 7.93725i | 0.338138i | ||||||||
\(552\) | −3.96863 | + | 6.87386i | −0.168916 | + | 0.292571i | ||||
\(553\) | −5.19615 | + | 9.00000i | −0.220963 | + | 0.382719i | ||||
\(554\) | 36.2976i | 1.54214i | ||||||||
\(555\) | −11.8273 | + | 13.2331i | −0.502039 | + | 0.561715i | ||||
\(556\) | 8.02178 | + | 13.8941i | 0.340199 | + | 0.589242i | ||||
\(557\) | 6.51903 | + | 11.2913i | 0.276220 | + | 0.478427i | 0.970442 | − | 0.241334i | \(-0.0775848\pi\) |
−0.694222 | + | 0.719761i | \(0.744251\pi\) | |||||||
\(558\) | 42.3303i | 1.79198i | ||||||||
\(559\) | −4.96099 | − | 1.22753i | −0.209827 | − | 0.0519188i | ||||
\(560\) | −1.41742 | + | 6.79129i | −0.0598971 | + | 0.286984i | ||||
\(561\) | 10.5000 | − | 6.06218i | 0.443310 | − | 0.255945i | ||||
\(562\) | 33.1950 | − | 19.1652i | 1.40025 | − | 0.808433i | ||||
\(563\) | 7.79423 | + | 4.50000i | 0.328488 | + | 0.189652i | 0.655169 | − | 0.755482i | \(-0.272597\pi\) |
−0.326682 | + | 0.945134i | \(0.605931\pi\) | |||||||
\(564\) | − | 24.4394i | − | 1.02908i | ||||||
\(565\) | 24.7096 | − | 27.6468i | 1.03954 | − | 1.16311i | ||||
\(566\) | 0.478220 | + | 0.276100i | 0.0201011 | + | 0.0116054i | ||||
\(567\) | 1.73205 | 0.0727393 | ||||||||
\(568\) | −5.33918 | − | 3.08258i | −0.224027 | − | 0.129342i | ||||
\(569\) | −9.87386 | − | 17.1020i | −0.413934 | − | 0.716955i | 0.581382 | − | 0.813631i | \(-0.302512\pi\) |
−0.995316 | + | 0.0966762i | \(0.969179\pi\) | |||||||
\(570\) | 8.05296 | − | 2.64938i | 0.337301 | − | 0.110970i | ||||
\(571\) | 29.0780 | 1.21688 | 0.608439 | − | 0.793601i | \(-0.291796\pi\) | ||||
0.608439 | + | 0.793601i | \(0.291796\pi\) | |||||||
\(572\) | 7.38505 | + | 25.5826i | 0.308785 | + | 1.06966i | ||||
\(573\) | − | 7.41742i | − | 0.309867i | ||||||
\(574\) | −8.68693 | + | 5.01540i | −0.362586 | + | 0.209339i | ||||
\(575\) | 22.7691 | − | 2.56275i | 0.949537 | − | 0.106874i | ||||
\(576\) | 12.5826 | − | 21.7937i | 0.524274 | − | 0.908069i | ||||
\(577\) | −6.92820 | −0.288425 | −0.144212 | − | 0.989547i | \(-0.546065\pi\) | ||||
−0.144212 | + | 0.989547i | \(0.546065\pi\) | |||||||
\(578\) | 4.37780 | − | 7.58258i | 0.182093 | − | 0.315394i | ||||
\(579\) | −0.873864 | − | 0.504525i | −0.0363165 | − | 0.0209674i | ||||
\(580\) | 5.84370 | − | 27.9989i | 0.242647 | − | 1.16259i | ||||
\(581\) | 9.79129 | − | 16.9590i | 0.406211 | − | 0.703578i | ||||
\(582\) | −8.47950 | + | 4.89564i | −0.351487 | + | 0.202931i | ||||
\(583\) | −2.09355 | − | 3.62614i | −0.0867060 | − | 0.150179i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 14.5310 | + | 6.98924i | 0.600784 | + | 0.288969i | ||||
\(586\) | 51.2867 | 2.11864 | ||||||||
\(587\) | −9.35548 | − | 16.2042i | −0.386142 | − | 0.668818i | 0.605785 | − | 0.795628i | \(-0.292859\pi\) |
−0.991927 | + | 0.126811i | \(0.959526\pi\) | |||||||
\(588\) | −9.66930 | + | 5.58258i | −0.398755 | + | 0.230222i | ||||
\(589\) | 8.37386 | − | 14.5040i | 0.345039 | − | 0.597625i | ||||
\(590\) | 16.1407 | + | 3.36875i | 0.664500 | + | 0.138689i | ||||
\(591\) | −17.2913 | − | 9.98313i | −0.711269 | − | 0.410651i | ||||
\(592\) | 7.10895 | − | 12.3131i | 0.292176 | − | 0.506064i | ||||
\(593\) | 21.1660 | 0.869184 | 0.434592 | − | 0.900627i | \(-0.356893\pi\) | ||||
0.434592 | + | 0.900627i | \(0.356893\pi\) | |||||||
\(594\) | 14.4782 | − | 25.0770i | 0.594049 | − | 1.02892i | ||||
\(595\) | 5.54661 | + | 16.8593i | 0.227389 | + | 0.691163i | ||||
\(596\) | −23.6044 | + | 13.6280i | −0.966872 | + | 0.558224i | ||||
\(597\) | − | 1.41742i | − | 0.0580113i | ||||||
\(598\) | 35.1078 | + | 8.68693i | 1.43567 | + | 0.355235i | ||||
\(599\) | 39.4955 | 1.61374 | 0.806870 | − | 0.590729i | \(-0.201160\pi\) | ||||
0.806870 | + | 0.590729i | \(0.201160\pi\) | |||||||
\(600\) | −8.60591 | + | 0.968627i | −0.351335 | + | 0.0395440i | ||||
\(601\) | 14.4564 | + | 25.0393i | 0.589690 | + | 1.02137i | 0.994273 | + | 0.106872i | \(0.0340836\pi\) |
−0.404582 | + | 0.914502i | \(0.632583\pi\) | |||||||
\(602\) | −4.65390 | − | 2.68693i | −0.189679 | − | 0.109511i | ||||
\(603\) | −29.7309 | −1.21074 | ||||||||
\(604\) | 15.0000 | + | 8.66025i | 0.610341 | + | 0.352381i | ||||
\(605\) | 6.66888 | + | 5.96038i | 0.271128 | + | 0.242324i | ||||
\(606\) | 19.7001i | 0.800262i | ||||||||
\(607\) | −17.1020 | − | 9.87386i | −0.694150 | − | 0.400768i | 0.111015 | − | 0.993819i | \(-0.464590\pi\) |
−0.805165 | + | 0.593051i | \(0.797923\pi\) | |||||||
\(608\) | −11.0776 | + | 6.39564i | −0.449255 | + | 0.259378i | ||||
\(609\) | 6.87386 | − | 3.96863i | 0.278543 | − | 0.160817i | ||||
\(610\) | −10.5826 | + | 50.7042i | −0.428476 | + | 2.05295i | ||||
\(611\) | −30.3303 | + | 8.75560i | −1.22703 | + | 0.354214i | ||||
\(612\) | − | 25.5826i | − | 1.03411i | ||||||
\(613\) | −10.8968 | − | 18.8739i | −0.440119 | − | 0.762308i | 0.557579 | − | 0.830124i | \(-0.311730\pi\) |
−0.997698 | + | 0.0678157i | \(0.978397\pi\) | |||||||
\(614\) | −26.5390 | − | 45.9669i | −1.07103 | − | 1.85507i | ||||
\(615\) | 4.41105 | + | 3.94242i | 0.177871 | + | 0.158974i | ||||
\(616\) | 7.93725i | 0.319801i | ||||||||
\(617\) | −1.68438 | + | 2.91742i | −0.0678104 | + | 0.117451i | −0.897937 | − | 0.440124i | \(-0.854935\pi\) |
0.830127 | + | 0.557575i | \(0.188268\pi\) | |||||||
\(618\) | −16.5975 | + | 28.7477i | −0.667650 | + | 1.15640i | ||||
\(619\) | − | 2.01810i | − | 0.0811143i | −0.999177 | − | 0.0405572i | \(-0.987087\pi\) | ||
0.999177 | − | 0.0405572i | \(-0.0129133\pi\) | |||||||
\(620\) | −40.2174 | + | 44.9979i | −1.61517 | + | 1.80716i | ||||
\(621\) | −11.4564 | − | 19.8431i | −0.459731 | − | 0.796278i | ||||
\(622\) | 1.73205 | + | 3.00000i | 0.0694489 | + | 0.120289i | ||||
\(623\) | 7.41742i | 0.297173i | ||||||||
\(624\) | 6.26951 | + | 1.55130i | 0.250981 | + | 0.0621017i | ||||
\(625\) | 17.0000 | + | 18.3303i | 0.680000 | + | 0.733212i | ||||
\(626\) | −58.2867 | + | 33.6519i | −2.32961 | + | 1.34500i | ||||
\(627\) | −3.96863 | + | 2.29129i | −0.158492 | + | 0.0915052i | ||||
\(628\) | −22.1552 | − | 12.7913i | −0.884087 | − | 0.510428i | ||||
\(629\) | − | 36.3731i | − | 1.45029i | ||||||
\(630\) | 12.6418 | + | 11.2988i | 0.503662 | + | 0.450153i | ||||
\(631\) | −18.8739 | − | 10.8968i | −0.751357 | − | 0.433796i | 0.0748272 | − | 0.997197i | \(-0.476159\pi\) |
−0.826184 | + | 0.563401i | \(0.809493\pi\) | |||||||
\(632\) | 10.3923 | 0.413384 | ||||||||
\(633\) | −15.7315 | − | 9.08258i | −0.625270 | − | 0.361000i | ||||
\(634\) | −22.9564 | − | 39.7617i | −0.911717 | − | 1.57914i | ||||
\(635\) | −6.81178 | − | 20.7048i | −0.270317 | − | 0.821647i | ||||
\(636\) | 4.41742 | 0.175162 | ||||||||
\(637\) | 10.3923 | + | 10.0000i | 0.411758 | + | 0.396214i | ||||
\(638\) | 26.5390i | 1.05069i | ||||||||
\(639\) | 6.16515 | − | 3.55945i | 0.243890 | − | 0.140810i | ||||
\(640\) | 27.1284 | − | 8.92509i | 1.07234 | − | 0.352795i | ||||
\(641\) | 0.0825757 | − | 0.143025i | 0.00326154 | − | 0.00564916i | −0.864390 | − | 0.502822i | \(-0.832295\pi\) |
0.867652 | + | 0.497173i | \(0.165628\pi\) | |||||||
\(642\) | −3.10260 | −0.122450 | ||||||||
\(643\) | −2.95958 | + | 5.12614i | −0.116714 | + | 0.202155i | −0.918464 | − | 0.395505i | \(-0.870570\pi\) |
0.801749 | + | 0.597660i | \(0.203903\pi\) | |||||||
\(644\) | 19.1869 | + | 11.0776i | 0.756071 | + | 0.436518i | ||||
\(645\) | −0.647551 | + | 3.10260i | −0.0254973 | + | 0.122165i | ||||
\(646\) | −8.68693 | + | 15.0462i | −0.341783 | + | 0.591985i | ||||
\(647\) | −23.3827 | + | 13.5000i | −0.919268 | + | 0.530740i | −0.883402 | − | 0.468617i | \(-0.844753\pi\) |
−0.0358667 | + | 0.999357i | \(0.511419\pi\) | |||||||
\(648\) | −0.866025 | − | 1.50000i | −0.0340207 | − | 0.0589256i | ||||
\(649\) | −8.91288 | −0.349861 | ||||||||
\(650\) | 15.1163 | + | 36.4509i | 0.592910 | + | 1.42972i | ||||
\(651\) | −16.7477 | −0.656395 | ||||||||
\(652\) | −14.9032 | − | 25.8131i | −0.583654 | − | 1.01092i | ||||
\(653\) | 42.2843 | − | 24.4129i | 1.65471 | − | 0.955350i | 0.679619 | − | 0.733566i | \(-0.262145\pi\) |
0.975096 | − | 0.221784i | \(-0.0711880\pi\) | |||||||
\(654\) | −3.00000 | + | 5.19615i | −0.117309 | + | 0.203186i | ||||
\(655\) | 0.723000 | − | 3.46410i | 0.0282500 | − | 0.135354i | ||||
\(656\) | −4.10436 | − | 2.36965i | −0.160248 | − | 0.0925193i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −33.1950 | −1.29408 | ||||||||
\(659\) | −12.2477 | + | 21.2137i | −0.477104 | + | 0.826368i | −0.999656 | − | 0.0262396i | \(-0.991647\pi\) |
0.522552 | + | 0.852607i | \(0.324980\pi\) | |||||||
\(660\) | 15.6864 | − | 5.16072i | 0.610591 | − | 0.200881i | ||||
\(661\) | 2.12614 | − | 1.22753i | 0.0826971 | − | 0.0477452i | −0.458081 | − | 0.888910i | \(-0.651463\pi\) |
0.540778 | + | 0.841165i | \(0.318130\pi\) | |||||||
\(662\) | − | 24.9564i | − | 0.969960i | ||||||
\(663\) | 15.8745 | − | 4.58258i | 0.616515 | − | 0.177972i | ||||
\(664\) | −19.5826 | −0.759951 | ||||||||
\(665\) | −2.09642 | − | 6.37221i | −0.0812957 | − | 0.247104i | ||||
\(666\) | −17.3739 | − | 30.0924i | −0.673224 | − | 1.16606i | ||||
\(667\) | 18.1865 | + | 10.5000i | 0.704185 | + | 0.406562i | ||||
\(668\) | 11.9536 | 0.462497 | ||||||||
\(669\) | −7.50000 | − | 4.33013i | −0.289967 | − | 0.167412i | ||||
\(670\) | −54.2497 | − | 48.4862i | −2.09585 | − | 1.87319i | ||||
\(671\) | − | 27.9989i | − | 1.08088i | ||||||
\(672\) | 11.0776 | + | 6.39564i | 0.427327 | + | 0.246717i | ||||
\(673\) | −5.05313 | + | 2.91742i | −0.194784 | + | 0.112458i | −0.594220 | − | 0.804302i | \(-0.702539\pi\) |
0.399436 | + | 0.916761i | \(0.369206\pi\) | |||||||
\(674\) | −6.16515 | + | 3.55945i | −0.237473 | + | 0.137105i | ||||
\(675\) | 10.0000 | − | 22.9129i | 0.384900 | − | 0.881917i | ||||
\(676\) | 1.39564 | + | 36.2599i | 0.0536786 | + | 1.39461i | ||||
\(677\) | 21.1652i | 0.813443i | 0.913552 | + | 0.406721i | \(0.133328\pi\) | ||||
−0.913552 | + | 0.406721i | \(0.866672\pi\) | |||||||
\(678\) | −18.1488 | − | 31.4347i | −0.697001 | − | 1.20724i | ||||
\(679\) | 3.87386 | + | 6.70973i | 0.148665 | + | 0.257496i | ||||
\(680\) | 11.8273 | − | 13.2331i | 0.453555 | − | 0.507468i | ||||
\(681\) | − | 6.10985i | − | 0.234130i | ||||||
\(682\) | 27.9989 | − | 48.4955i | 1.07213 | − | 1.85699i | ||||
\(683\) | 5.96683 | − | 10.3348i | 0.228314 | − | 0.395452i | −0.728994 | − | 0.684520i | \(-0.760012\pi\) |
0.957309 | + | 0.289068i | \(0.0933453\pi\) | |||||||
\(684\) | 9.66930i | 0.369715i | ||||||||
\(685\) | 0.158970 | + | 0.142081i | 0.00607392 | + | 0.00542863i | ||||
\(686\) | 20.8521 | + | 36.1169i | 0.796136 | + | 1.37895i | ||||
\(687\) | 2.74110 | + | 4.74773i | 0.104580 | + | 0.181137i | ||||
\(688\) | − | 2.53901i | − | 0.0967990i | ||||||
\(689\) | −1.58258 | − | 5.48220i | −0.0602913 | − | 0.208855i | ||||
\(690\) | 4.58258 | − | 21.9564i | 0.174456 | − | 0.835867i | ||||
\(691\) | 30.8739 | − | 17.8250i | 1.17450 | − | 0.678096i | 0.219762 | − | 0.975554i | \(-0.429472\pi\) |
0.954735 | + | 0.297457i | \(0.0961386\pi\) | |||||||
\(692\) | −17.9303 | + | 10.3521i | −0.681609 | + | 0.393527i | ||||
\(693\) | −7.93725 | − | 4.58258i | −0.301511 | − | 0.174078i | ||||
\(694\) | − | 33.5565i | − | 1.27379i | ||||||
\(695\) | −9.58272 | − | 8.56466i | −0.363493 | − | 0.324876i | ||||
\(696\) | −6.87386 | − | 3.96863i | −0.260553 | − | 0.150430i | ||||
\(697\) | −12.1244 | −0.459243 | ||||||||
\(698\) | −34.7463 | − | 20.0608i | −1.31517 | − | 0.759312i | ||||
\(699\) | 10.5826 | + | 18.3296i | 0.400270 | + | 0.693288i | ||||
\(700\) | 2.70372 | + | 24.0216i | 0.102191 | + | 0.907931i | ||||
\(701\) | −2.83485 | −0.107071 | −0.0535354 | − | 0.998566i | \(-0.517049\pi\) | ||||
−0.0535354 | + | 0.998566i | \(0.517049\pi\) | |||||||
\(702\) | 27.3613 | − | 28.4347i | 1.03268 | − | 1.07320i | ||||
\(703\) | 13.7477i | 0.518505i | ||||||||
\(704\) | −28.8303 | + | 16.6452i | −1.08658 | + | 0.627339i | ||||
\(705\) | 6.11847 | + | 18.5975i | 0.230435 | + | 0.700423i | ||||
\(706\) | 19.0608 | − | 33.0143i | 0.717362 | − | 1.24251i | ||||
\(707\) | 15.5885 | 0.586264 | ||||||||
\(708\) | 4.70158 | − | 8.14337i | 0.176696 | − | 0.306047i | ||||
\(709\) | 31.5000 | + | 18.1865i | 1.18301 | + | 0.683010i | 0.956708 | − | 0.291048i | \(-0.0940040\pi\) |
0.226299 | + | 0.974058i | \(0.427337\pi\) | |||||||
\(710\) | 17.0544 | + | 3.55945i | 0.640039 | + | 0.133584i | ||||
\(711\) | −6.00000 | + | 10.3923i | −0.225018 | + | 0.389742i | ||||
\(712\) | 6.42368 | − | 3.70871i | 0.240738 | − | 0.138990i | ||||
\(713\) | −22.1552 | − | 38.3739i | −0.829717 | − | 1.43711i | ||||
\(714\) | 17.3739 | 0.650201 | ||||||||
\(715\) | −12.0244 | − | 17.6185i | −0.449688 | − | 0.658896i | ||||
\(716\) | 0.460985 | 0.0172278 | ||||||||
\(717\) | 10.4877 | + | 18.1652i | 0.391669 | + | 0.678390i | ||||
\(718\) | −63.2874 | + | 36.5390i | −2.36187 | + | 1.36362i | ||||
\(719\) | 15.2477 | − | 26.4098i | 0.568644 | − | 0.984921i | −0.428056 | − | 0.903752i | \(-0.640801\pi\) |
0.996700 | − | 0.0811686i | \(-0.0258652\pi\) | |||||||
\(720\) | −1.63670 | + | 7.84190i | −0.0609962 | + | 0.292250i | ||||
\(721\) | 22.7477 | + | 13.1334i | 0.847170 | + | 0.489114i | ||||
\(722\) | −17.5112 | + | 30.3303i | −0.651700 | + | 1.12878i | ||||
\(723\) | −1.73205 | −0.0644157 | ||||||||
\(724\) | 26.1652 | − | 45.3194i | 0.972420 | − | 1.68428i | ||||
\(725\) | 2.56275 | + | 22.7691i | 0.0951780 | + | 0.845623i | ||||
\(726\) | 7.58258 | − | 4.37780i | 0.281416 | − | 0.162475i | ||||
\(727\) | 42.7477i | 1.58543i | 0.609595 | + | 0.792713i | \(0.291332\pi\) | ||||
−0.609595 | + | 0.792713i | \(0.708668\pi\) | |||||||
\(728\) | −2.59808 | + | 10.5000i | −0.0962911 | + | 0.389156i | ||||
\(729\) | −13.0000 | −0.481481 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3.24773 | − | 5.62523i | −0.120122 | − | 0.208057i | ||||
\(732\) | 25.5815 | + | 14.7695i | 0.945521 | + | 0.545897i | ||||
\(733\) | −8.94630 | −0.330439 | −0.165220 | − | 0.986257i | \(-0.552833\pi\) | ||||
−0.165220 | + | 0.986257i | \(0.552833\pi\) | |||||||
\(734\) | 48.8085 | + | 28.1796i | 1.80156 | + | 1.04013i | ||||
\(735\) | 5.96038 | − | 6.66888i | 0.219852 | − | 0.245985i | ||||
\(736\) | 33.8426i | 1.24745i | ||||||||
\(737\) | 34.0610 | + | 19.6652i | 1.25465 | + | 0.724375i | ||||
\(738\) | −10.0308 | + | 5.79129i | −0.369239 | + | 0.213180i | ||||
\(739\) | −42.2477 | + | 24.3917i | −1.55411 | + | 0.897265i | −0.556307 | + | 0.830977i | \(0.687782\pi\) |
−0.997801 | + | 0.0662878i | \(0.978884\pi\) | |||||||
\(740\) | 10.1216 | − | 48.4955i | 0.372077 | − | 1.78273i | ||||
\(741\) | −6.00000 | + | 1.73205i | −0.220416 | + | 0.0636285i | ||||
\(742\) | − | 6.00000i | − | 0.220267i | ||||||
\(743\) | 21.3845 | + | 37.0390i | 0.784521 | + | 1.35883i | 0.929285 | + | 0.369364i | \(0.120424\pi\) |
−0.144764 | + | 0.989466i | \(0.546242\pi\) | |||||||
\(744\) | 8.37386 | + | 14.5040i | 0.307001 | + | 0.531741i | ||||
\(745\) | 14.5503 | − | 16.2798i | 0.533080 | − | 0.596446i | ||||
\(746\) | − | 28.4557i | − | 1.04184i | ||||||
\(747\) | 11.3060 | − | 19.5826i | 0.413665 | − | 0.716489i | ||||
\(748\) | −16.9213 | + | 29.3085i | −0.618703 | + | 1.07163i | ||||
\(749\) | 2.45505i | 0.0897056i | ||||||||
\(750\) | 22.2456 | − | 10.2002i | 0.812294 | − | 0.372459i | ||||
\(751\) | 7.87386 | + | 13.6379i | 0.287321 | + | 0.497655i | 0.973169 | − | 0.230090i | \(-0.0739019\pi\) |
−0.685848 | + | 0.727745i | \(0.740569\pi\) | |||||||
\(752\) | −7.84190 | − | 13.5826i | −0.285965 | − | 0.495306i | ||||
\(753\) | 18.1652i | 0.661975i | ||||||||
\(754\) | −8.68693 | + | 35.1078i | −0.316359 | + | 1.27855i | ||||
\(755\) | −13.5826 | − | 2.83485i | −0.494321 | − | 0.103171i | ||||
\(756\) | 20.9347 | − | 12.0866i | 0.761386 | − | 0.439587i | ||||
\(757\) | 15.3700 | − | 8.87386i | 0.558632 | − | 0.322526i | −0.193965 | − | 0.981009i | \(-0.562135\pi\) |
0.752596 | + | 0.658482i | \(0.228801\pi\) | |||||||
\(758\) | −39.9425 | − | 23.0608i | −1.45078 | − | 0.837606i | ||||
\(759\) | 12.1244i | 0.440086i | ||||||||
\(760\) | −4.47028 | + | 5.00166i | −0.162154 | + | 0.181429i | ||||
\(761\) | −35.2913 | − | 20.3754i | −1.27931 | − | 0.738609i | −0.302587 | − | 0.953122i | \(-0.597850\pi\) |
−0.976721 | + | 0.214513i | \(0.931184\pi\) | |||||||
\(762\) | −21.3368 | −0.772951 | ||||||||
\(763\) | 4.11165 | + | 2.37386i | 0.148852 | + | 0.0859396i | ||||
\(764\) | 10.3521 | + | 17.9303i | 0.374525 | + | 0.648697i | ||||
\(765\) | 6.40467 | + | 19.4674i | 0.231561 | + | 0.703846i | ||||
\(766\) | 6.20871 | 0.224330 | ||||||||
\(767\) | −11.7906 | − | 2.91742i | −0.425735 | − | 0.105342i | ||||
\(768\) | − | 2.79129i | − | 0.100722i | ||||||
\(769\) | −13.5000 | + | 7.79423i | −0.486822 | + | 0.281067i | −0.723255 | − | 0.690581i | \(-0.757355\pi\) |
0.236433 | + | 0.971648i | \(0.424022\pi\) | |||||||
\(770\) | −7.00959 | − | 21.3061i | −0.252608 | − | 0.767819i | ||||
\(771\) | −0.0825757 | + | 0.143025i | −0.00297389 | + | 0.00515093i | ||||
\(772\) | 2.81655 | 0.101370 | ||||||||
\(773\) | −17.3682 | + | 30.0826i | −0.624690 | + | 1.08200i | 0.363911 | + | 0.931434i | \(0.381441\pi\) |
−0.988601 | + | 0.150561i | \(0.951892\pi\) | |||||||
\(774\) | −5.37386 | − | 3.10260i | −0.193160 | − | 0.111521i | ||||
\(775\) | 19.3386 | − | 44.3103i | 0.694663 | − | 1.59167i | ||||
\(776\) | 3.87386 | − | 6.70973i | 0.139064 | − | 0.240865i | ||||
\(777\) | 11.9059 | − | 6.87386i | 0.427121 | − | 0.246598i | ||||
\(778\) | 16.5975 | + | 28.7477i | 0.595049 | + | 1.03066i | ||||
\(779\) | 4.58258 | 0.164188 | ||||||||
\(780\) | 22.4404 | − | 1.69243i | 0.803493 | − | 0.0605987i | ||||
\(781\) | −9.41742 | −0.336982 | ||||||||
\(782\) | 22.9835 | + | 39.8085i | 0.821887 | + | 1.42355i | ||||
\(783\) | 19.8431 | − | 11.4564i | 0.709136 | − | 0.409420i | ||||
\(784\) | −3.58258 | + | 6.20520i | −0.127949 | + | 0.221614i | ||||
\(785\) | 20.0616 | + | 4.18710i | 0.716030 | + | 0.149444i | ||||
\(786\) | −3.00000 | − | 1.73205i | −0.107006 | − | 0.0617802i | ||||
\(787\) | 16.0930 | − | 27.8739i | 0.573653 | − | 0.993596i | −0.422534 | − | 0.906347i | \(-0.638859\pi\) |
0.996187 | − | 0.0872487i | \(-0.0278075\pi\) | |||||||
\(788\) | 55.7316 | 1.98536 | ||||||||
\(789\) | 4.50000 | − | 7.79423i | 0.160204 | − | 0.277482i | ||||
\(790\) | −27.8963 | + | 9.17771i | −0.992504 | + | 0.326528i | ||||
\(791\) | −24.8739 | + | 14.3609i | −0.884413 | + | 0.510616i | ||||
\(792\) | 9.16515i | 0.325669i | ||||||||
\(793\) | 9.16478 | − | 37.0390i | 0.325451 | − | 1.31529i | ||||
\(794\) | −59.7042 | −2.11882 | ||||||||
\(795\) | −3.36150 | + | 1.10591i | −0.119220 | + | 0.0392227i | ||||
\(796\) | 1.97822 | + | 3.42638i | 0.0701161 | + | 0.121445i | ||||
\(797\) | −17.3881 | − | 10.0390i | −0.615918 | − | 0.355600i | 0.159360 | − | 0.987220i | \(-0.449057\pi\) |
−0.775278 | + | 0.631620i | \(0.782390\pi\) | |||||||
\(798\) | −6.56670 | −0.232459 | ||||||||
\(799\) | −34.7477 | − | 20.0616i | −1.22929 | − | 0.709729i | ||||
\(800\) | −29.7126 | + | 21.9235i | −1.05050 | + | 0.775112i | ||||
\(801\) | 8.56490i | 0.302626i | ||||||||
\(802\) | −23.7065 | − | 13.6869i | −0.837104 | − | 0.483302i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −35.9347 | + | 20.7469i | −1.26732 | + | 0.731686i | ||||
\(805\) | −17.3739 | − | 3.62614i | −0.612348 | − | 0.127805i | ||||
\(806\) | 52.9129 | − | 54.9887i | 1.86378 | − | 1.93689i | ||||
\(807\) | 15.0000i | 0.528025i | ||||||||
\(808\) | −7.79423 | − | 13.5000i | −0.274200 | − | 0.474928i | ||||
\(809\) | 18.4129 | + | 31.8920i | 0.647362 | + | 1.12126i | 0.983750 | + | 0.179541i | \(0.0574613\pi\) |
−0.336388 | + | 0.941723i | \(0.609205\pi\) | |||||||
\(810\) | 3.64938 | + | 3.26167i | 0.128226 | + | 0.114603i | ||||
\(811\) | 18.7665i | 0.658981i | 0.944159 | + | 0.329491i | \(0.106877\pi\) | ||||
−0.944159 | + | 0.329491i | \(0.893123\pi\) | |||||||
\(812\) | −11.0776 | + | 19.1869i | −0.388747 | + | 0.673329i | ||||
\(813\) | 4.33013 | − | 7.50000i | 0.151864 | − | 0.263036i | ||||
\(814\) | 45.9669i | 1.61114i | ||||||||
\(815\) | 17.8032 | + | 15.9118i | 0.623617 | + | 0.557365i | ||||
\(816\) | 4.10436 | + | 7.10895i | 0.143681 | + | 0.248863i | ||||
\(817\) | 1.22753 | + | 2.12614i | 0.0429457 | + | 0.0743841i | ||||
\(818\) | − | 18.9564i | − | 0.662796i | ||||||
\(819\) | −9.00000 | − | 8.66025i | −0.314485 | − | 0.302614i | ||||
\(820\) | −16.1652 | − | 3.37386i | −0.564512 | − | 0.117820i | ||||
\(821\) | 20.2913 | − | 11.7152i | 0.708171 | − | 0.408863i | −0.102213 | − | 0.994763i | \(-0.532592\pi\) |
0.810383 | + | 0.585900i | \(0.199259\pi\) | |||||||
\(822\) | 0.180750 | − | 0.104356i | 0.00630438 | − | 0.00363984i | ||||
\(823\) | 35.1455 | + | 20.2913i | 1.22510 | + | 0.707310i | 0.966000 | − | 0.258542i | \(-0.0832419\pi\) |
0.259096 | + | 0.965851i | \(0.416575\pi\) | |||||||
\(824\) | − | 26.2668i | − | 0.915048i | ||||||
\(825\) | −10.6448 | + | 7.85425i | −0.370603 | + | 0.273450i | ||||
\(826\) | −11.0608 | − | 6.38595i | −0.384854 | − | 0.222196i | ||||
\(827\) | −31.5583 | −1.09739 | −0.548695 | − | 0.836023i | \(-0.684875\pi\) | ||||
−0.548695 | + | 0.836023i | \(0.684875\pi\) | |||||||
\(828\) | 22.1552 | + | 12.7913i | 0.769945 | + | 0.444528i | ||||
\(829\) | 1.66515 | + | 2.88413i | 0.0578331 | + | 0.100170i | 0.893492 | − | 0.449078i | \(-0.148248\pi\) |
−0.835659 | + | 0.549248i | \(0.814914\pi\) | |||||||
\(830\) | 52.5659 | − | 17.2939i | 1.82459 | − | 0.600279i | ||||
\(831\) | −16.5826 | −0.575243 | ||||||||
\(832\) | −43.5873 | + | 12.5826i | −1.51112 | + | 0.436222i | ||||
\(833\) | 18.3303i | 0.635107i | ||||||||
\(834\) | −10.8956 | + | 6.29060i | −0.377285 | + | 0.217826i | ||||
\(835\) | −9.09622 | + | 2.99261i | −0.314788 | + | 0.103563i | ||||
\(836\) | 6.39564 | − | 11.0776i | 0.221198 | − | 0.383126i | ||||
\(837\) | −48.3465 | −1.67110 | ||||||||
\(838\) | −26.4476 | + | 45.8085i | −0.913616 | + | 1.58243i | ||||
\(839\) | 1.16970 | + | 0.675325i | 0.0403824 | + | 0.0233148i | 0.520055 | − | 0.854133i | \(-0.325911\pi\) |
−0.479673 | + | 0.877447i | \(0.659245\pi\) | |||||||
\(840\) | 6.56670 | + | 1.37055i | 0.226573 | + | 0.0472885i | ||||
\(841\) | 4.00000 | − | 6.92820i | 0.137931 | − | 0.238904i | ||||
\(842\) | 49.7925 | − | 28.7477i | 1.71596 | − | 0.990712i | ||||
\(843\) | 8.75560 | + | 15.1652i | 0.301559 | + | 0.522316i | ||||
\(844\) | 50.7042 | 1.74531 | ||||||||
\(845\) | −10.1398 | − | 27.2431i | −0.348820 | − | 0.937190i | ||||
\(846\) | −38.3303 | −1.31782 | ||||||||
\(847\) | −3.46410 | − | 6.00000i | −0.119028 | − | 0.206162i | ||||
\(848\) | 2.45505 | − | 1.41742i | 0.0843068 | − | 0.0486746i | ||||
\(849\) | −0.126136 | + | 0.218475i | −0.00432899 | + | 0.00749803i | ||||
\(850\) | −20.0616 | + | 45.9669i | −0.688108 | + | 1.57665i | ||||
\(851\) | 31.5000 | + | 18.1865i | 1.07981 | + | 0.623426i | ||||
\(852\) | 4.96773 | − | 8.60436i | 0.170192 | − | 0.294780i | ||||
\(853\) | −53.2566 | −1.82347 | −0.911736 | − | 0.410777i | \(-0.865258\pi\) | ||||
−0.911736 | + | 0.410777i | \(0.865258\pi\) | |||||||
\(854\) | 20.0608 | − | 34.7463i | 0.686466 | − | 1.18899i | ||||
\(855\) | −2.42074 | − | 7.35799i | −0.0827875 | − | 0.251638i | ||||
\(856\) | 2.12614 | − | 1.22753i | 0.0726698 | − | 0.0419560i | ||||
\(857\) | − | 22.7477i | − | 0.777048i | −0.921439 | − | 0.388524i | \(-0.872985\pi\) | ||
0.921439 | − | 0.388524i | \(-0.127015\pi\) | |||||||
\(858\) | −20.0616 | + | 5.79129i | −0.684892 | + | 0.197711i | ||||
\(859\) | −38.2432 | −1.30484 | −0.652420 | − | 0.757857i | \(-0.726246\pi\) | ||||
−0.652420 | + | 0.757857i | \(0.726246\pi\) | |||||||
\(860\) | −2.76479 | − | 8.40375i | −0.0942784 | − | 0.286566i | ||||
\(861\) | −2.29129 | − | 3.96863i | −0.0780869 | − | 0.135250i | ||||
\(862\) | −56.1785 | − | 32.4347i | −1.91345 | − | 1.10473i | ||||
\(863\) | 34.8317 | 1.18569 | 0.592843 | − | 0.805318i | \(-0.298006\pi\) | ||||
0.592843 | + | 0.805318i | \(0.298006\pi\) | |||||||
\(864\) | 31.9782 | + | 18.4626i | 1.08792 | + | 0.628112i | ||||
\(865\) | 11.0527 | − | 12.3665i | 0.375802 | − | 0.420473i | ||||
\(866\) | − | 38.8480i | − | 1.32011i | ||||||
\(867\) | 3.46410 | + | 2.00000i | 0.117647 | + | 0.0679236i | ||||
\(868\) | 40.4847 | − | 23.3739i | 1.37414 | − | 0.793361i | ||||
\(869\) | 13.7477 | − | 7.93725i | 0.466360 | − | 0.269253i | ||||
\(870\) | 21.9564 | + | 4.58258i | 0.744393 | + | 0.155364i | ||||
\(871\) | 38.6216 | + | 37.1636i | 1.30864 | + | 1.25924i | ||||
\(872\) | − | 4.74773i | − | 0.160778i | ||||||
\(873\) | 4.47315 | + | 7.74773i | 0.151393 | + | 0.262221i | ||||
\(874\) | −8.68693 | − | 15.0462i | −0.293840 | − | 0.508946i | ||||
\(875\) | −8.07130 | − | 17.6027i | −0.272860 | − | 0.595079i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.96863 | − | 6.87386i | 0.134011 | − | 0.232114i | −0.791208 | − | 0.611547i | \(-0.790548\pi\) |
0.925219 | + | 0.379433i | \(0.123881\pi\) | |||||||
\(878\) | 44.3203 | − | 76.7650i | 1.49574 | − | 2.59069i | ||||
\(879\) | 23.4304i | 0.790286i | ||||||||
\(880\) | 7.06201 | − | 7.90145i | 0.238060 | − | 0.266358i | ||||
\(881\) | 9.24773 | + | 16.0175i | 0.311564 | + | 0.539644i | 0.978701 | − | 0.205290i | \(-0.0658139\pi\) |
−0.667137 | + | 0.744935i | \(0.732481\pi\) | |||||||
\(882\) | 8.75560 | + | 15.1652i | 0.294817 | + | 0.510637i | ||||
\(883\) | − | 46.2432i | − | 1.55621i | −0.628136 | − | 0.778103i | \(-0.716182\pi\) | ||
0.628136 | − | 0.778103i | \(-0.283818\pi\) | |||||||
\(884\) | −31.9782 | + | 33.2327i | −1.07554 | + | 1.11774i | ||||
\(885\) | −1.53901 | + | 7.37386i | −0.0517334 | + | 0.247870i | ||||
\(886\) | −49.1216 | + | 28.3604i | −1.65027 | + | 0.952785i | ||||
\(887\) | 0.429076 | − | 0.247727i | 0.0144070 | − | 0.00831786i | −0.492779 | − | 0.870154i | \(-0.664019\pi\) |
0.507186 | + | 0.861837i | \(0.330686\pi\) | |||||||
\(888\) | −11.9059 | − | 6.87386i | −0.399535 | − | 0.230672i | ||||
\(889\) | 16.8836i | 0.566256i | ||||||||
\(890\) | −13.9679 | + | 15.6283i | −0.468206 | + | 0.523861i | ||||
\(891\) | −2.29129 | − | 1.32288i | −0.0767610 | − | 0.0443180i | ||||
\(892\) | 24.1733 | 0.809381 | ||||||||
\(893\) | 13.1334 | + | 7.58258i | 0.439493 | + | 0.253741i | ||||
\(894\) | −10.6869 | − | 18.5103i | −0.357424 | − | 0.619077i | ||||
\(895\) | −0.350793 | + | 0.115409i | −0.0117257 | + | 0.00385769i | ||||
\(896\) | −22.1216 | −0.739030 | ||||||||
\(897\) | −3.96863 | + | 16.0390i | −0.132509 | + | 0.535527i | ||||
\(898\) | − | 82.0345i | − | 2.73753i | ||||||
\(899\) | 38.3739 | − | 22.1552i | 1.27984 | − | 0.738916i | ||||
\(900\) | 3.12198 | + | 27.7377i | 0.104066 | + | 0.924591i | ||||
\(901\) | 3.62614 | − | 6.28065i | 0.120804 | − | 0.209239i | ||||
\(902\) | 15.3223 | 0.510177 | ||||||||
\(903\) | 1.22753 | − | 2.12614i | 0.0408495 | − | 0.0707534i | ||||
\(904\) | 24.8739 | + | 14.3609i | 0.827292 | + | 0.477637i | ||||
\(905\) | −8.56490 | + | 41.0369i | −0.284707 | + | 1.36411i | ||||
\(906\) | −6.79129 | + | 11.7629i | −0.225625 | + | 0.390795i | ||||
\(907\) | 29.2264 | − | 16.8739i | 0.970446 | − | 0.560287i | 0.0710740 | − | 0.997471i | \(-0.477357\pi\) |
0.899372 | + | 0.437184i | \(0.144024\pi\) | |||||||
\(908\) | 8.52718 | + | 14.7695i | 0.282984 | + | 0.490143i | ||||
\(909\) | 18.0000 | 0.597022 | ||||||||
\(910\) | −2.29875 | − | 30.4798i | −0.0762030 | − | 1.01039i | ||||
\(911\) | 37.9129 | 1.25611 | 0.628055 | − | 0.778169i | \(-0.283851\pi\) | ||||
0.628055 | + | 0.778169i | \(0.283851\pi\) | |||||||
\(912\) | −1.55130 | − | 2.68693i | −0.0513687 | − | 0.0889732i | ||||
\(913\) | −25.9053 | + | 14.9564i | −0.857341 | + | 0.494986i | ||||
\(914\) | 1.89564 | − | 3.28335i | 0.0627023 | − | 0.108604i | ||||
\(915\) | −23.1642 | − | 4.83465i | −0.765785 | − | 0.159829i | ||||
\(916\) | −13.2523 | − | 7.65120i | −0.437867 | − | 0.252803i | ||||
\(917\) | −1.37055 | + | 2.37386i | −0.0452596 | + | 0.0783919i | ||||
\(918\) | 50.1540 | 1.65533 | ||||||||
\(919\) | 17.9174 | − | 31.0339i | 0.591041 | − | 1.02371i | −0.403051 | − | 0.915177i | \(-0.632050\pi\) |
0.994093 | − | 0.108536i | \(-0.0346163\pi\) | |||||||
\(920\) | 5.54661 | + | 16.8593i | 0.182866 | + | 0.555834i | ||||
\(921\) | 21.0000 | − | 12.1244i | 0.691974 | − | 0.399511i | ||||
\(922\) | 2.62614i | 0.0864872i | ||||||||
\(923\) | −12.4581 | − | 3.08258i | −0.410063 | − | 0.101464i | ||||
\(924\) | −12.7913 | −0.420802 | ||||||||
\(925\) | 4.43881 | + | 39.4373i | 0.145947 | + | 1.29669i | ||||
\(926\) | 9.00000 | + | 15.5885i | 0.295758 | + | 0.512268i | ||||
\(927\) | 26.2668 | + | 15.1652i | 0.862715 | + | 0.498089i | ||||
\(928\) | −33.8426 | −1.11094 | ||||||||
\(929\) | −13.8303 | − | 7.98493i | −0.453758 | − | 0.261977i | 0.255658 | − | 0.966767i | \(-0.417708\pi\) |
−0.709416 | + | 0.704790i | \(0.751041\pi\) | |||||||
\(930\) | −35.2869 | − | 31.5381i | −1.15710 | − | 1.03417i | ||||
\(931\) | − | 6.92820i | − | 0.227063i | ||||||
\(932\) | −51.1631 | − | 29.5390i | −1.67590 | − | 0.967583i | ||||
\(933\) | −1.37055 | + | 0.791288i | −0.0448698 | + | 0.0259056i | ||||
\(934\) | −23.3739 | + | 13.4949i | −0.764816 | + | 0.441567i | ||||
\(935\) | 5.53901 | − | 26.5390i | 0.181145 | − | 0.867919i | ||||
\(936\) | −3.00000 | + | 12.1244i | −0.0980581 | + | 0.396297i | ||||
\(937\) | 23.4955i | 0.767563i | 0.923424 | + | 0.383782i | \(0.125378\pi\) | ||||
−0.923424 | + | 0.383782i | \(0.874622\pi\) | |||||||
\(938\) | 28.1796 | + | 48.8085i | 0.920097 | + | 1.59365i | ||||
\(939\) | −15.3739 | − | 26.6283i | −0.501707 | − | 0.868982i | ||||
\(940\) | −40.7458 | − | 36.4170i | −1.32898 | − | 1.18779i | ||||
\(941\) | − | 26.4575i | − | 0.862490i | −0.902235 | − | 0.431245i | \(-0.858074\pi\) | ||
0.902235 | − | 0.431245i | \(-0.141926\pi\) | |||||||
\(942\) | 10.0308 | − | 17.3739i | 0.326821 | − | 0.566071i | ||||
\(943\) | 6.06218 | − | 10.5000i | 0.197412 | − | 0.341927i | ||||
\(944\) | − | 6.03440i | − | 0.196403i | ||||||
\(945\) | −12.9046 | + | 14.4385i | −0.419787 | + | 0.469686i | ||||
\(946\) | 4.10436 | + | 7.10895i | 0.133444 | + | 0.231132i | ||||
\(947\) | −19.2909 | − | 33.4129i | −0.626871 | − | 1.08577i | −0.988176 | − | 0.153325i | \(-0.951002\pi\) |
0.361305 | − | 0.932448i | \(-0.382331\pi\) | |||||||
\(948\) | 16.7477i | 0.543941i | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 7.58258 | − | 17.3739i | 0.246011 | − | 0.563683i | ||||
\(951\) | 18.1652 | − | 10.4877i | 0.589045 | − | 0.340086i | ||||
\(952\) | −11.9059 | + | 6.87386i | −0.385872 | + | 0.222783i | ||||
\(953\) | −48.5650 | − | 28.0390i | −1.57317 | − | 0.908273i | −0.995777 | − | 0.0918100i | \(-0.970735\pi\) |
−0.577398 | − | 0.816463i | \(-0.695932\pi\) | |||||||
\(954\) | − | 6.92820i | − | 0.224309i | ||||||
\(955\) | −12.3665 | − | 11.0527i | −0.400170 | − | 0.357656i | ||||
\(956\) | −50.7042 | − | 29.2741i | −1.63989 | − | 0.946791i | ||||
\(957\) | −12.1244 | −0.391925 | ||||||||
\(958\) | 61.3746 | + | 35.4347i | 1.98292 | + | 1.14484i | ||||
\(959\) | −0.0825757 | − | 0.143025i | −0.00266651 | − | 0.00461853i | ||||
\(960\) | 8.79279 | + | 26.7263i | 0.283786 | + | 0.862586i | ||||
\(961\) | −62.4955 | −2.01598 | ||||||||
\(962\) | −15.0462 | + | 60.8085i | −0.485109 | + | 1.96055i | ||||
\(963\) | 2.83485i | 0.0913517i | ||||||||
\(964\) | 4.18693 | − | 2.41733i | 0.134852 | − | 0.0778568i | ||||
\(965\) | −2.14329 | + | 0.705131i | −0.0689951 | + | 0.0226990i | ||||
\(966\) | −8.68693 | + | 15.0462i | −0.279497 | + | 0.484104i | ||||
\(967\) | −21.5076 | −0.691638 | −0.345819 | − | 0.938301i | \(-0.612399\pi\) | ||||
−0.345819 | + | 0.938301i | \(0.612399\pi\) | |||||||
\(968\) | −3.46410 | + | 6.00000i | −0.111340 | + | 0.192847i | ||||
\(969\) | −6.87386 | − | 3.96863i | −0.220820 | − | 0.127491i | ||||
\(970\) | −4.47315 | + | 21.4322i | −0.143624 | + | 0.688145i | ||||
\(971\) | −18.2477 | + | 31.6060i | −0.585597 | + | 1.01428i | 0.409203 | + | 0.912443i | \(0.365807\pi\) |
−0.994801 | + | 0.101841i | \(0.967527\pi\) | |||||||
\(972\) | 38.6772 | − | 22.3303i | 1.24057 | − | 0.716245i | ||||
\(973\) | 4.97768 | + | 8.62159i | 0.159577 | + | 0.276396i | ||||
\(974\) | 46.1216 | 1.47783 | ||||||||
\(975\) | −16.6526 | + | 6.90588i | −0.533310 | + | 0.221165i | ||||
\(976\) | 18.9564 | 0.606781 | ||||||||
\(977\) | 19.3863 | + | 33.5780i | 0.620222 | + | 1.07426i | 0.989444 | + | 0.144915i | \(0.0462909\pi\) |
−0.369222 | + | 0.929341i | \(0.620376\pi\) | |||||||
\(978\) | 20.2424 | − | 11.6869i | 0.647279 | − | 0.373707i | ||||
\(979\) | 5.66515 | − | 9.81233i | 0.181059 | − | 0.313603i | ||||
\(980\) | −5.10080 | + | 24.4394i | −0.162939 | + | 0.780688i | ||||
\(981\) | 4.74773 | + | 2.74110i | 0.151583 | + | 0.0875166i | ||||
\(982\) | −31.2822 | + | 54.1824i | −0.998256 | + | 1.72903i | ||||
\(983\) | −3.12250 | −0.0995924 | −0.0497962 | − | 0.998759i | \(-0.515857\pi\) | ||||
−0.0497962 | + | 0.998759i | \(0.515857\pi\) | |||||||
\(984\) | −2.29129 | + | 3.96863i | −0.0730436 | + | 0.126515i | ||||
\(985\) | −42.4097 | + | 13.9526i | −1.35129 | + | 0.444565i | ||||
\(986\) | −39.8085 | + | 22.9835i | −1.26776 | + | 0.731943i | ||||
\(987\) | − | 15.1652i | − | 0.482712i | ||||||
\(988\) | 12.0866 | − | 12.5608i | 0.384527 | − | 0.399612i | ||||
\(989\) | 6.49545 | 0.206543 | ||||||||
\(990\) | −8.09398 | − | 24.6022i | −0.257244 | − | 0.781909i | ||||
\(991\) | 6.50000 | + | 11.2583i | 0.206479 | + | 0.357633i | 0.950603 | − | 0.310409i | \(-0.100466\pi\) |
−0.744124 | + | 0.668042i | \(0.767133\pi\) | |||||||
\(992\) | 61.8414 | + | 35.7042i | 1.96347 | + | 1.13361i | ||||
\(993\) | 11.4014 | 0.361811 | ||||||||
\(994\) | −11.6869 | − | 6.74745i | −0.370687 | − | 0.214016i | ||||
\(995\) | −2.36316 | − | 2.11210i | −0.0749171 | − | 0.0669579i | ||||
\(996\) | − | 31.5583i | − | 0.999963i | ||||||
\(997\) | −15.7315 | − | 9.08258i | −0.498221 | − | 0.287648i | 0.229758 | − | 0.973248i | \(-0.426207\pi\) |
−0.727979 | + | 0.685600i | \(0.759540\pi\) | |||||||
\(998\) | −31.4630 | + | 18.1652i | −0.995943 | + | 0.575008i | ||||
\(999\) | 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 \(a_p\))