Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,2,Mod(2,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.135745683436\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{8})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 8.1 | ||
Root | \(-0.707107 - 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 17.8 |
Dual form | 17.2.d.a.15.1 |
$q$-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 \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.70711 | + | 1.70711i | −1.20711 | + | 1.20711i | −0.235147 | + | 0.971960i | \(0.575557\pi\) |
−0.971960 | + | 0.235147i | \(0.924443\pi\) | |||||||
\(3\) | 0.414214 | − | 1.00000i | 0.239146 | − | 0.577350i | −0.758049 | − | 0.652198i | \(-0.773847\pi\) |
0.997195 | + | 0.0748477i | \(0.0238471\pi\) | |||||||
\(4\) | − | 3.82843i | − | 1.91421i | ||||||
\(5\) | −0.707107 | − | 0.292893i | −0.316228 | − | 0.130986i | 0.218924 | − | 0.975742i | \(-0.429745\pi\) |
−0.535151 | + | 0.844756i | \(0.679745\pi\) | |||||||
\(6\) | 1.00000 | + | 2.41421i | 0.408248 | + | 0.985599i | ||||
\(7\) | −2.41421 | + | 1.00000i | −0.912487 | + | 0.377964i | −0.789008 | − | 0.614383i | \(-0.789405\pi\) |
−0.123479 | + | 0.992347i | \(0.539405\pi\) | |||||||
\(8\) | 3.12132 | + | 3.12132i | 1.10355 | + | 1.10355i | ||||
\(9\) | 1.29289 | + | 1.29289i | 0.430964 | + | 0.430964i | ||||
\(10\) | 1.70711 | − | 0.707107i | 0.539835 | − | 0.223607i | ||||
\(11\) | −1.00000 | − | 2.41421i | −0.301511 | − | 0.727913i | −0.999925 | − | 0.0122188i | \(-0.996111\pi\) |
0.698414 | − | 0.715694i | \(-0.253889\pi\) | |||||||
\(12\) | −3.82843 | − | 1.58579i | −1.10517 | − | 0.457777i | ||||
\(13\) | 1.41421i | 0.392232i | 0.980581 | + | 0.196116i | \(0.0628330\pi\) | ||||
−0.980581 | + | 0.196116i | \(0.937167\pi\) | |||||||
\(14\) | 2.41421 | − | 5.82843i | 0.645226 | − | 1.55771i | ||||
\(15\) | −0.585786 | + | 0.585786i | −0.151249 | + | 0.151249i | ||||
\(16\) | −3.00000 | −0.750000 | ||||||||
\(17\) | 2.82843 | + | 3.00000i | 0.685994 | + | 0.727607i | ||||
\(18\) | −4.41421 | −1.04044 | ||||||||
\(19\) | 0.585786 | − | 0.585786i | 0.134389 | − | 0.134389i | −0.636713 | − | 0.771101i | \(-0.719706\pi\) |
0.771101 | + | 0.636713i | \(0.219706\pi\) | |||||||
\(20\) | −1.12132 | + | 2.70711i | −0.250735 | + | 0.605327i | ||||
\(21\) | 2.82843i | 0.617213i | ||||||||
\(22\) | 5.82843 | + | 2.41421i | 1.24262 | + | 0.514712i | ||||
\(23\) | −1.82843 | − | 4.41421i | −0.381253 | − | 0.920427i | −0.991724 | − | 0.128388i | \(-0.959020\pi\) |
0.610471 | − | 0.792039i | \(-0.290980\pi\) | |||||||
\(24\) | 4.41421 | − | 1.82843i | 0.901048 | − | 0.373226i | ||||
\(25\) | −3.12132 | − | 3.12132i | −0.624264 | − | 0.624264i | ||||
\(26\) | −2.41421 | − | 2.41421i | −0.473466 | − | 0.473466i | ||||
\(27\) | 4.82843 | − | 2.00000i | 0.929231 | − | 0.384900i | ||||
\(28\) | 3.82843 | + | 9.24264i | 0.723505 | + | 1.74669i | ||||
\(29\) | −0.292893 | − | 0.121320i | −0.0543889 | − | 0.0225286i | 0.355323 | − | 0.934744i | \(-0.384371\pi\) |
−0.409712 | + | 0.912215i | \(0.634371\pi\) | |||||||
\(30\) | − | 2.00000i | − | 0.365148i | ||||||
\(31\) | −3.00000 | + | 7.24264i | −0.538816 | + | 1.30082i | 0.386734 | + | 0.922191i | \(0.373603\pi\) |
−0.925550 | + | 0.378625i | \(0.876397\pi\) | |||||||
\(32\) | −1.12132 | + | 1.12132i | −0.198223 | + | 0.198223i | ||||
\(33\) | −2.82843 | −0.492366 | ||||||||
\(34\) | −9.94975 | − | 0.292893i | −1.70637 | − | 0.0502308i | ||||
\(35\) | 2.00000 | 0.338062 | ||||||||
\(36\) | 4.94975 | − | 4.94975i | 0.824958 | − | 0.824958i | ||||
\(37\) | 3.53553 | − | 8.53553i | 0.581238 | − | 1.40323i | −0.310453 | − | 0.950589i | \(-0.600481\pi\) |
0.891691 | − | 0.452644i | \(-0.149519\pi\) | |||||||
\(38\) | 2.00000i | 0.324443i | ||||||||
\(39\) | 1.41421 | + | 0.585786i | 0.226455 | + | 0.0938009i | ||||
\(40\) | −1.29289 | − | 3.12132i | −0.204424 | − | 0.493524i | ||||
\(41\) | 1.12132 | − | 0.464466i | 0.175121 | − | 0.0725374i | −0.293400 | − | 0.955990i | \(-0.594787\pi\) |
0.468521 | + | 0.883452i | \(0.344787\pi\) | |||||||
\(42\) | −4.82843 | − | 4.82843i | −0.745042 | − | 0.745042i | ||||
\(43\) | −0.585786 | − | 0.585786i | −0.0893316 | − | 0.0893316i | 0.661029 | − | 0.750360i | \(-0.270120\pi\) |
−0.750360 | + | 0.661029i | \(0.770120\pi\) | |||||||
\(44\) | −9.24264 | + | 3.82843i | −1.39338 | + | 0.577157i | ||||
\(45\) | −0.535534 | − | 1.29289i | −0.0798327 | − | 0.192733i | ||||
\(46\) | 10.6569 | + | 4.41421i | 1.57127 | + | 0.650840i | ||||
\(47\) | 5.17157i | 0.754351i | 0.926142 | + | 0.377176i | \(0.123105\pi\) | ||||
−0.926142 | + | 0.377176i | \(0.876895\pi\) | |||||||
\(48\) | −1.24264 | + | 3.00000i | −0.179360 | + | 0.433013i | ||||
\(49\) | −0.121320 | + | 0.121320i | −0.0173315 | + | 0.0173315i | ||||
\(50\) | 10.6569 | 1.50711 | ||||||||
\(51\) | 4.17157 | − | 1.58579i | 0.584137 | − | 0.222055i | ||||
\(52\) | 5.41421 | 0.750816 | ||||||||
\(53\) | −1.00000 | + | 1.00000i | −0.137361 | + | 0.137361i | −0.772444 | − | 0.635083i | \(-0.780966\pi\) |
0.635083 | + | 0.772444i | \(0.280966\pi\) | |||||||
\(54\) | −4.82843 | + | 11.6569i | −0.657066 | + | 1.58630i | ||||
\(55\) | 2.00000i | 0.269680i | ||||||||
\(56\) | −10.6569 | − | 4.41421i | −1.42408 | − | 0.589874i | ||||
\(57\) | −0.343146 | − | 0.828427i | −0.0454508 | − | 0.109728i | ||||
\(58\) | 0.707107 | − | 0.292893i | 0.0928477 | − | 0.0384588i | ||||
\(59\) | 4.24264 | + | 4.24264i | 0.552345 | + | 0.552345i | 0.927117 | − | 0.374772i | \(-0.122279\pi\) |
−0.374772 | + | 0.927117i | \(0.622279\pi\) | |||||||
\(60\) | 2.24264 | + | 2.24264i | 0.289524 | + | 0.289524i | ||||
\(61\) | −3.53553 | + | 1.46447i | −0.452679 | + | 0.187506i | −0.597361 | − | 0.801973i | \(-0.703784\pi\) |
0.144682 | + | 0.989478i | \(0.453784\pi\) | |||||||
\(62\) | −7.24264 | − | 17.4853i | −0.919816 | − | 2.22063i | ||||
\(63\) | −4.41421 | − | 1.82843i | −0.556139 | − | 0.230360i | ||||
\(64\) | − | 9.82843i | − | 1.22855i | ||||||
\(65\) | 0.414214 | − | 1.00000i | 0.0513769 | − | 0.124035i | ||||
\(66\) | 4.82843 | − | 4.82843i | 0.594338 | − | 0.594338i | ||||
\(67\) | 1.17157 | 0.143130 | 0.0715652 | − | 0.997436i | \(-0.477201\pi\) | ||||
0.0715652 | + | 0.997436i | \(0.477201\pi\) | |||||||
\(68\) | 11.4853 | − | 10.8284i | 1.39279 | − | 1.31314i | ||||
\(69\) | −5.17157 | −0.622584 | ||||||||
\(70\) | −3.41421 | + | 3.41421i | −0.408077 | + | 0.408077i | ||||
\(71\) | −2.07107 | + | 5.00000i | −0.245791 | + | 0.593391i | −0.997838 | − | 0.0657178i | \(-0.979066\pi\) |
0.752048 | + | 0.659109i | \(0.229066\pi\) | |||||||
\(72\) | 8.07107i | 0.951184i | ||||||||
\(73\) | −11.9497 | − | 4.94975i | −1.39861 | − | 0.579324i | −0.449221 | − | 0.893421i | \(-0.648298\pi\) |
−0.949391 | + | 0.314097i | \(0.898298\pi\) | |||||||
\(74\) | 8.53553 | + | 20.6066i | 0.992236 | + | 2.39547i | ||||
\(75\) | −4.41421 | + | 1.82843i | −0.509709 | + | 0.211129i | ||||
\(76\) | −2.24264 | − | 2.24264i | −0.257249 | − | 0.257249i | ||||
\(77\) | 4.82843 | + | 4.82843i | 0.550250 | + | 0.550250i | ||||
\(78\) | −3.41421 | + | 1.41421i | −0.386584 | + | 0.160128i | ||||
\(79\) | 1.82843 | + | 4.41421i | 0.205714 | + | 0.496638i | 0.992740 | − | 0.120283i | \(-0.0383801\pi\) |
−0.787026 | + | 0.616920i | \(0.788380\pi\) | |||||||
\(80\) | 2.12132 | + | 0.878680i | 0.237171 | + | 0.0982394i | ||||
\(81\) | − | 0.171573i | − | 0.0190637i | ||||||
\(82\) | −1.12132 | + | 2.70711i | −0.123829 | + | 0.298950i | ||||
\(83\) | 8.24264 | − | 8.24264i | 0.904747 | − | 0.904747i | −0.0910949 | − | 0.995842i | \(-0.529037\pi\) |
0.995842 | + | 0.0910949i | \(0.0290366\pi\) | |||||||
\(84\) | 10.8284 | 1.18148 | ||||||||
\(85\) | −1.12132 | − | 2.94975i | −0.121624 | − | 0.319945i | ||||
\(86\) | 2.00000 | 0.215666 | ||||||||
\(87\) | −0.242641 | + | 0.242641i | −0.0260138 | + | 0.0260138i | ||||
\(88\) | 4.41421 | − | 10.6569i | 0.470557 | − | 1.13602i | ||||
\(89\) | − | 6.58579i | − | 0.698092i | −0.937106 | − | 0.349046i | \(-0.886506\pi\) | ||
0.937106 | − | 0.349046i | \(-0.113494\pi\) | |||||||
\(90\) | 3.12132 | + | 1.29289i | 0.329016 | + | 0.136283i | ||||
\(91\) | −1.41421 | − | 3.41421i | −0.148250 | − | 0.357907i | ||||
\(92\) | −16.8995 | + | 7.00000i | −1.76189 | + | 0.729800i | ||||
\(93\) | 6.00000 | + | 6.00000i | 0.622171 | + | 0.622171i | ||||
\(94\) | −8.82843 | − | 8.82843i | −0.910583 | − | 0.910583i | ||||
\(95\) | −0.585786 | + | 0.242641i | −0.0601004 | + | 0.0248944i | ||||
\(96\) | 0.656854 | + | 1.58579i | 0.0670399 | + | 0.161849i | ||||
\(97\) | 9.53553 | + | 3.94975i | 0.968187 | + | 0.401036i | 0.810037 | − | 0.586379i | \(-0.199447\pi\) |
0.158150 | + | 0.987415i | \(0.449447\pi\) | |||||||
\(98\) | − | 0.414214i | − | 0.0418419i | ||||||
\(99\) | 1.82843 | − | 4.41421i | 0.183764 | − | 0.443645i | ||||
\(100\) | −11.9497 | + | 11.9497i | −1.19497 | + | 1.19497i | ||||
\(101\) | −10.5858 | −1.05333 | −0.526663 | − | 0.850074i | \(-0.676557\pi\) | ||||
−0.526663 | + | 0.850074i | \(0.676557\pi\) | |||||||
\(102\) | −4.41421 | + | 9.82843i | −0.437072 | + | 0.973159i | ||||
\(103\) | 12.4853 | 1.23021 | 0.615106 | − | 0.788445i | \(-0.289113\pi\) | ||||
0.615106 | + | 0.788445i | \(0.289113\pi\) | |||||||
\(104\) | −4.41421 | + | 4.41421i | −0.432849 | + | 0.432849i | ||||
\(105\) | 0.828427 | − | 2.00000i | 0.0808462 | − | 0.195180i | ||||
\(106\) | − | 3.41421i | − | 0.331618i | ||||||
\(107\) | 0.414214 | + | 0.171573i | 0.0400435 | + | 0.0165866i | 0.402615 | − | 0.915369i | \(-0.368101\pi\) |
−0.362572 | + | 0.931956i | \(0.618101\pi\) | |||||||
\(108\) | −7.65685 | − | 18.4853i | −0.736781 | − | 1.77875i | ||||
\(109\) | 14.3640 | − | 5.94975i | 1.37582 | − | 0.569882i | 0.432458 | − | 0.901654i | \(-0.357646\pi\) |
0.943360 | + | 0.331772i | \(0.107646\pi\) | |||||||
\(110\) | −3.41421 | − | 3.41421i | −0.325532 | − | 0.325532i | ||||
\(111\) | −7.07107 | − | 7.07107i | −0.671156 | − | 0.671156i | ||||
\(112\) | 7.24264 | − | 3.00000i | 0.684365 | − | 0.283473i | ||||
\(113\) | 5.05025 | + | 12.1924i | 0.475088 | + | 1.14696i | 0.961886 | + | 0.273449i | \(0.0881645\pi\) |
−0.486799 | + | 0.873514i | \(0.661835\pi\) | |||||||
\(114\) | 2.00000 | + | 0.828427i | 0.187317 | + | 0.0775893i | ||||
\(115\) | 3.65685i | 0.341003i | ||||||||
\(116\) | −0.464466 | + | 1.12132i | −0.0431246 | + | 0.104112i | ||||
\(117\) | −1.82843 | + | 1.82843i | −0.169038 | + | 0.169038i | ||||
\(118\) | −14.4853 | −1.33348 | ||||||||
\(119\) | −9.82843 | − | 4.41421i | −0.900970 | − | 0.404650i | ||||
\(120\) | −3.65685 | −0.333824 | ||||||||
\(121\) | 2.94975 | − | 2.94975i | 0.268159 | − | 0.268159i | ||||
\(122\) | 3.53553 | − | 8.53553i | 0.320092 | − | 0.772771i | ||||
\(123\) | − | 1.31371i | − | 0.118453i | ||||||
\(124\) | 27.7279 | + | 11.4853i | 2.49004 | + | 1.03141i | ||||
\(125\) | 2.75736 | + | 6.65685i | 0.246626 | + | 0.595407i | ||||
\(126\) | 10.6569 | − | 4.41421i | 0.949388 | − | 0.393249i | ||||
\(127\) | −3.75736 | − | 3.75736i | −0.333412 | − | 0.333412i | 0.520469 | − | 0.853881i | \(-0.325757\pi\) |
−0.853881 | + | 0.520469i | \(0.825757\pi\) | |||||||
\(128\) | 14.5355 | + | 14.5355i | 1.28477 | + | 1.28477i | ||||
\(129\) | −0.828427 | + | 0.343146i | −0.0729389 | + | 0.0302123i | ||||
\(130\) | 1.00000 | + | 2.41421i | 0.0877058 | + | 0.211741i | ||||
\(131\) | −14.0711 | − | 5.82843i | −1.22939 | − | 0.509232i | −0.329010 | − | 0.944326i | \(-0.606715\pi\) |
−0.900385 | + | 0.435094i | \(0.856715\pi\) | |||||||
\(132\) | 10.8284i | 0.942494i | ||||||||
\(133\) | −0.828427 | + | 2.00000i | −0.0718337 | + | 0.173422i | ||||
\(134\) | −2.00000 | + | 2.00000i | −0.172774 | + | 0.172774i | ||||
\(135\) | −4.00000 | −0.344265 | ||||||||
\(136\) | −0.535534 | + | 18.1924i | −0.0459217 | + | 1.55998i | ||||
\(137\) | −16.7279 | −1.42916 | −0.714581 | − | 0.699552i | \(-0.753383\pi\) | ||||
−0.714581 | + | 0.699552i | \(0.753383\pi\) | |||||||
\(138\) | 8.82843 | − | 8.82843i | 0.751526 | − | 0.751526i | ||||
\(139\) | −8.17157 | + | 19.7279i | −0.693104 | + | 1.67330i | 0.0453279 | + | 0.998972i | \(0.485567\pi\) |
−0.738432 | + | 0.674328i | \(0.764433\pi\) | |||||||
\(140\) | − | 7.65685i | − | 0.647122i | ||||||
\(141\) | 5.17157 | + | 2.14214i | 0.435525 | + | 0.180400i | ||||
\(142\) | −5.00000 | − | 12.0711i | −0.419591 | − | 1.01298i | ||||
\(143\) | 3.41421 | − | 1.41421i | 0.285511 | − | 0.118262i | ||||
\(144\) | −3.87868 | − | 3.87868i | −0.323223 | − | 0.323223i | ||||
\(145\) | 0.171573 | + | 0.171573i | 0.0142484 | + | 0.0142484i | ||||
\(146\) | 28.8492 | − | 11.9497i | 2.38758 | − | 0.988968i | ||||
\(147\) | 0.0710678 | + | 0.171573i | 0.00586157 | + | 0.0141511i | ||||
\(148\) | −32.6777 | − | 13.5355i | −2.68609 | − | 1.11261i | ||||
\(149\) | − | 16.9706i | − | 1.39028i | −0.718873 | − | 0.695141i | \(-0.755342\pi\) | ||
0.718873 | − | 0.695141i | \(-0.244658\pi\) | |||||||
\(150\) | 4.41421 | − | 10.6569i | 0.360419 | − | 0.870129i | ||||
\(151\) | 5.07107 | − | 5.07107i | 0.412678 | − | 0.412678i | −0.469993 | − | 0.882670i | \(-0.655743\pi\) |
0.882670 | + | 0.469993i | \(0.155743\pi\) | |||||||
\(152\) | 3.65685 | 0.296610 | ||||||||
\(153\) | −0.221825 | + | 7.53553i | −0.0179335 | + | 0.609212i | ||||
\(154\) | −16.4853 | −1.32842 | ||||||||
\(155\) | 4.24264 | − | 4.24264i | 0.340777 | − | 0.340777i | ||||
\(156\) | 2.24264 | − | 5.41421i | 0.179555 | − | 0.433484i | ||||
\(157\) | 9.65685i | 0.770701i | 0.922770 | + | 0.385350i | \(0.125919\pi\) | ||||
−0.922770 | + | 0.385350i | \(0.874081\pi\) | |||||||
\(158\) | −10.6569 | − | 4.41421i | −0.847814 | − | 0.351176i | ||||
\(159\) | 0.585786 | + | 1.41421i | 0.0464559 | + | 0.112154i | ||||
\(160\) | 1.12132 | − | 0.464466i | 0.0886482 | − | 0.0367193i | ||||
\(161\) | 8.82843 | + | 8.82843i | 0.695778 | + | 0.695778i | ||||
\(162\) | 0.292893 | + | 0.292893i | 0.0230119 | + | 0.0230119i | ||||
\(163\) | −7.82843 | + | 3.24264i | −0.613170 | + | 0.253983i | −0.667583 | − | 0.744535i | \(-0.732671\pi\) |
0.0544134 | + | 0.998518i | \(0.482671\pi\) | |||||||
\(164\) | −1.77817 | − | 4.29289i | −0.138852 | − | 0.335219i | ||||
\(165\) | 2.00000 | + | 0.828427i | 0.155700 | + | 0.0644930i | ||||
\(166\) | 28.1421i | 2.18425i | ||||||||
\(167\) | 0.757359 | − | 1.82843i | 0.0586062 | − | 0.141488i | −0.891864 | − | 0.452304i | \(-0.850602\pi\) |
0.950470 | + | 0.310816i | \(0.100602\pi\) | |||||||
\(168\) | −8.82843 | + | 8.82843i | −0.681128 | + | 0.681128i | ||||
\(169\) | 11.0000 | 0.846154 | ||||||||
\(170\) | 6.94975 | + | 3.12132i | 0.533021 | + | 0.239394i | ||||
\(171\) | 1.51472 | 0.115833 | ||||||||
\(172\) | −2.24264 | + | 2.24264i | −0.171000 | + | 0.171000i | ||||
\(173\) | 1.12132 | − | 2.70711i | 0.0852524 | − | 0.205818i | −0.875504 | − | 0.483211i | \(-0.839470\pi\) |
0.960756 | + | 0.277393i | \(0.0894705\pi\) | |||||||
\(174\) | − | 0.828427i | − | 0.0628029i | ||||||
\(175\) | 10.6569 | + | 4.41421i | 0.805582 | + | 0.333683i | ||||
\(176\) | 3.00000 | + | 7.24264i | 0.226134 | + | 0.545935i | ||||
\(177\) | 6.00000 | − | 2.48528i | 0.450988 | − | 0.186805i | ||||
\(178\) | 11.2426 | + | 11.2426i | 0.842672 | + | 0.842672i | ||||
\(179\) | −4.24264 | − | 4.24264i | −0.317110 | − | 0.317110i | 0.530546 | − | 0.847656i | \(-0.321987\pi\) |
−0.847656 | + | 0.530546i | \(0.821987\pi\) | |||||||
\(180\) | −4.94975 | + | 2.05025i | −0.368932 | + | 0.152817i | ||||
\(181\) | −4.46447 | − | 10.7782i | −0.331841 | − | 0.801135i | −0.998446 | − | 0.0557243i | \(-0.982253\pi\) |
0.666605 | − | 0.745411i | \(-0.267747\pi\) | |||||||
\(182\) | 8.24264 | + | 3.41421i | 0.610985 | + | 0.253078i | ||||
\(183\) | 4.14214i | 0.306195i | ||||||||
\(184\) | 8.07107 | − | 19.4853i | 0.595007 | − | 1.43647i | ||||
\(185\) | −5.00000 | + | 5.00000i | −0.367607 | + | 0.367607i | ||||
\(186\) | −20.4853 | −1.50205 | ||||||||
\(187\) | 4.41421 | − | 9.82843i | 0.322799 | − | 0.718726i | ||||
\(188\) | 19.7990 | 1.44399 | ||||||||
\(189\) | −9.65685 | + | 9.65685i | −0.702433 | + | 0.702433i | ||||
\(190\) | 0.585786 | − | 1.41421i | 0.0424974 | − | 0.102598i | ||||
\(191\) | − | 20.0000i | − | 1.44715i | −0.690246 | − | 0.723575i | \(-0.742498\pi\) | ||
0.690246 | − | 0.723575i | \(-0.257502\pi\) | |||||||
\(192\) | −9.82843 | − | 4.07107i | −0.709306 | − | 0.293804i | ||||
\(193\) | 0.878680 | + | 2.12132i | 0.0632487 | + | 0.152696i | 0.952344 | − | 0.305027i | \(-0.0986653\pi\) |
−0.889095 | + | 0.457722i | \(0.848665\pi\) | |||||||
\(194\) | −23.0208 | + | 9.53553i | −1.65280 | + | 0.684611i | ||||
\(195\) | −0.828427 | − | 0.828427i | −0.0593249 | − | 0.0593249i | ||||
\(196\) | 0.464466 | + | 0.464466i | 0.0331761 | + | 0.0331761i | ||||
\(197\) | −4.29289 | + | 1.77817i | −0.305856 | + | 0.126690i | −0.530332 | − | 0.847790i | \(-0.677933\pi\) |
0.224476 | + | 0.974480i | \(0.427933\pi\) | |||||||
\(198\) | 4.41421 | + | 10.6569i | 0.313704 | + | 0.757350i | ||||
\(199\) | 10.6569 | + | 4.41421i | 0.755444 | + | 0.312915i | 0.726961 | − | 0.686679i | \(-0.240932\pi\) |
0.0284836 | + | 0.999594i | \(0.490932\pi\) | |||||||
\(200\) | − | 19.4853i | − | 1.37782i | ||||||
\(201\) | 0.485281 | − | 1.17157i | 0.0342291 | − | 0.0826364i | ||||
\(202\) | 18.0711 | − | 18.0711i | 1.27148 | − | 1.27148i | ||||
\(203\) | 0.828427 | 0.0581442 | ||||||||
\(204\) | −6.07107 | − | 15.9706i | −0.425060 | − | 1.11816i | ||||
\(205\) | −0.928932 | −0.0648794 | ||||||||
\(206\) | −21.3137 | + | 21.3137i | −1.48500 | + | 1.48500i | ||||
\(207\) | 3.34315 | − | 8.07107i | 0.232365 | − | 0.560978i | ||||
\(208\) | − | 4.24264i | − | 0.294174i | ||||||
\(209\) | −2.00000 | − | 0.828427i | −0.138343 | − | 0.0573035i | ||||
\(210\) | 2.00000 | + | 4.82843i | 0.138013 | + | 0.333193i | ||||
\(211\) | −19.7279 | + | 8.17157i | −1.35813 | + | 0.562554i | −0.938543 | − | 0.345163i | \(-0.887824\pi\) |
−0.419583 | + | 0.907717i | \(0.637824\pi\) | |||||||
\(212\) | 3.82843 | + | 3.82843i | 0.262937 | + | 0.262937i | ||||
\(213\) | 4.14214 | + | 4.14214i | 0.283814 | + | 0.283814i | ||||
\(214\) | −1.00000 | + | 0.414214i | −0.0683586 | + | 0.0283151i | ||||
\(215\) | 0.242641 | + | 0.585786i | 0.0165480 | + | 0.0399503i | ||||
\(216\) | 21.3137 | + | 8.82843i | 1.45021 | + | 0.600698i | ||||
\(217\) | − | 20.4853i | − | 1.39063i | ||||||
\(218\) | −14.3640 | + | 34.6777i | −0.972850 | + | 2.34867i | ||||
\(219\) | −9.89949 | + | 9.89949i | −0.668946 | + | 0.668946i | ||||
\(220\) | 7.65685 | 0.516225 | ||||||||
\(221\) | −4.24264 | + | 4.00000i | −0.285391 | + | 0.269069i | ||||
\(222\) | 24.1421 | 1.62031 | ||||||||
\(223\) | 3.41421 | − | 3.41421i | 0.228633 | − | 0.228633i | −0.583489 | − | 0.812121i | \(-0.698313\pi\) |
0.812121 | + | 0.583489i | \(0.198313\pi\) | |||||||
\(224\) | 1.58579 | − | 3.82843i | 0.105955 | − | 0.255798i | ||||
\(225\) | − | 8.07107i | − | 0.538071i | ||||||
\(226\) | −29.4350 | − | 12.1924i | −1.95799 | − | 0.811026i | ||||
\(227\) | 6.65685 | + | 16.0711i | 0.441831 | + | 1.06667i | 0.975306 | + | 0.220858i | \(0.0708859\pi\) |
−0.533475 | + | 0.845816i | \(0.679114\pi\) | |||||||
\(228\) | −3.17157 | + | 1.31371i | −0.210043 | + | 0.0870025i | ||||
\(229\) | −12.1421 | − | 12.1421i | −0.802375 | − | 0.802375i | 0.181091 | − | 0.983466i | \(-0.442037\pi\) |
−0.983466 | + | 0.181091i | \(0.942037\pi\) | |||||||
\(230\) | −6.24264 | − | 6.24264i | −0.411628 | − | 0.411628i | ||||
\(231\) | 6.82843 | − | 2.82843i | 0.449278 | − | 0.186097i | ||||
\(232\) | −0.535534 | − | 1.29289i | −0.0351595 | − | 0.0848826i | ||||
\(233\) | 8.12132 | + | 3.36396i | 0.532045 | + | 0.220380i | 0.632499 | − | 0.774561i | \(-0.282029\pi\) |
−0.100453 | + | 0.994942i | \(0.532029\pi\) | |||||||
\(234\) | − | 6.24264i | − | 0.408094i | ||||||
\(235\) | 1.51472 | − | 3.65685i | 0.0988093 | − | 0.238547i | ||||
\(236\) | 16.2426 | − | 16.2426i | 1.05731 | − | 1.05731i | ||||
\(237\) | 5.17157 | 0.335930 | ||||||||
\(238\) | 24.3137 | − | 9.24264i | 1.57602 | − | 0.599111i | ||||
\(239\) | 14.8284 | 0.959171 | 0.479586 | − | 0.877495i | \(-0.340787\pi\) | ||||
0.479586 | + | 0.877495i | \(0.340787\pi\) | |||||||
\(240\) | 1.75736 | − | 1.75736i | 0.113437 | − | 0.113437i | ||||
\(241\) | −1.36396 | + | 3.29289i | −0.0878605 | + | 0.212114i | −0.961702 | − | 0.274097i | \(-0.911621\pi\) |
0.873842 | + | 0.486211i | \(0.161621\pi\) | |||||||
\(242\) | 10.0711i | 0.647393i | ||||||||
\(243\) | 14.3137 | + | 5.92893i | 0.918225 | + | 0.380341i | ||||
\(244\) | 5.60660 | + | 13.5355i | 0.358926 | + | 0.866524i | ||||
\(245\) | 0.121320 | − | 0.0502525i | 0.00775087 | − | 0.00321052i | ||||
\(246\) | 2.24264 | + | 2.24264i | 0.142986 | + | 0.142986i | ||||
\(247\) | 0.828427 | + | 0.828427i | 0.0527116 | + | 0.0527116i | ||||
\(248\) | −31.9706 | + | 13.2426i | −2.03013 | + | 0.840909i | ||||
\(249\) | −4.82843 | − | 11.6569i | −0.305989 | − | 0.738723i | ||||
\(250\) | −16.0711 | − | 6.65685i | −1.01642 | − | 0.421016i | ||||
\(251\) | 20.4853i | 1.29302i | 0.762906 | + | 0.646510i | \(0.223772\pi\) | ||||
−0.762906 | + | 0.646510i | \(0.776228\pi\) | |||||||
\(252\) | −7.00000 | + | 16.8995i | −0.440959 | + | 1.06457i | ||||
\(253\) | −8.82843 | + | 8.82843i | −0.555038 | + | 0.555038i | ||||
\(254\) | 12.8284 | 0.804927 | ||||||||
\(255\) | −3.41421 | − | 0.100505i | −0.213806 | − | 0.00629387i | ||||
\(256\) | −29.9706 | −1.87316 | ||||||||
\(257\) | −4.34315 | + | 4.34315i | −0.270918 | + | 0.270918i | −0.829470 | − | 0.558552i | \(-0.811357\pi\) |
0.558552 | + | 0.829470i | \(0.311357\pi\) | |||||||
\(258\) | 0.828427 | − | 2.00000i | 0.0515756 | − | 0.124515i | ||||
\(259\) | 24.1421i | 1.50012i | ||||||||
\(260\) | −3.82843 | − | 1.58579i | −0.237429 | − | 0.0983463i | ||||
\(261\) | −0.221825 | − | 0.535534i | −0.0137306 | − | 0.0331487i | ||||
\(262\) | 33.9706 | − | 14.0711i | 2.09871 | − | 0.869313i | ||||
\(263\) | −7.41421 | − | 7.41421i | −0.457180 | − | 0.457180i | 0.440549 | − | 0.897729i | \(-0.354784\pi\) |
−0.897729 | + | 0.440549i | \(0.854784\pi\) | |||||||
\(264\) | −8.82843 | − | 8.82843i | −0.543352 | − | 0.543352i | ||||
\(265\) | 1.00000 | − | 0.414214i | 0.0614295 | − | 0.0254449i | ||||
\(266\) | −2.00000 | − | 4.82843i | −0.122628 | − | 0.296050i | ||||
\(267\) | −6.58579 | − | 2.72792i | −0.403044 | − | 0.166946i | ||||
\(268\) | − | 4.48528i | − | 0.273982i | ||||||
\(269\) | 10.1213 | − | 24.4350i | 0.617108 | − | 1.48983i | −0.237939 | − | 0.971280i | \(-0.576472\pi\) |
0.855047 | − | 0.518550i | \(-0.173528\pi\) | |||||||
\(270\) | 6.82843 | − | 6.82843i | 0.415565 | − | 0.415565i | ||||
\(271\) | 22.1421 | 1.34504 | 0.672519 | − | 0.740079i | \(-0.265212\pi\) | ||||
0.672519 | + | 0.740079i | \(0.265212\pi\) | |||||||
\(272\) | −8.48528 | − | 9.00000i | −0.514496 | − | 0.545705i | ||||
\(273\) | −4.00000 | −0.242091 | ||||||||
\(274\) | 28.5563 | − | 28.5563i | 1.72515 | − | 1.72515i | ||||
\(275\) | −4.41421 | + | 10.6569i | −0.266187 | + | 0.642632i | ||||
\(276\) | 19.7990i | 1.19176i | ||||||||
\(277\) | −18.4350 | − | 7.63604i | −1.10765 | − | 0.458805i | −0.247525 | − | 0.968882i | \(-0.579617\pi\) |
−0.860129 | + | 0.510077i | \(0.829617\pi\) | |||||||
\(278\) | −19.7279 | − | 47.6274i | −1.18320 | − | 2.85650i | ||||
\(279\) | −13.2426 | + | 5.48528i | −0.792816 | + | 0.328395i | ||||
\(280\) | 6.24264 | + | 6.24264i | 0.373069 | + | 0.373069i | ||||
\(281\) | −1.34315 | − | 1.34315i | −0.0801254 | − | 0.0801254i | 0.665908 | − | 0.746034i | \(-0.268044\pi\) |
−0.746034 | + | 0.665908i | \(0.768044\pi\) | |||||||
\(282\) | −12.4853 | + | 5.17157i | −0.743488 | + | 0.307963i | ||||
\(283\) | −7.14214 | − | 17.2426i | −0.424556 | − | 1.02497i | −0.980987 | − | 0.194075i | \(-0.937830\pi\) |
0.556431 | − | 0.830894i | \(-0.312170\pi\) | |||||||
\(284\) | 19.1421 | + | 7.92893i | 1.13588 | + | 0.470496i | ||||
\(285\) | 0.686292i | 0.0406524i | ||||||||
\(286\) | −3.41421 | + | 8.24264i | −0.201887 | + | 0.487398i | ||||
\(287\) | −2.24264 | + | 2.24264i | −0.132379 | + | 0.132379i | ||||
\(288\) | −2.89949 | −0.170854 | ||||||||
\(289\) | −1.00000 | + | 16.9706i | −0.0588235 | + | 0.998268i | ||||
\(290\) | −0.585786 | −0.0343986 | ||||||||
\(291\) | 7.89949 | − | 7.89949i | 0.463077 | − | 0.463077i | ||||
\(292\) | −18.9497 | + | 45.7487i | −1.10895 | + | 2.67724i | ||||
\(293\) | 12.3431i | 0.721094i | 0.932741 | + | 0.360547i | \(0.117410\pi\) | ||||
−0.932741 | + | 0.360547i | \(0.882590\pi\) | |||||||
\(294\) | −0.414214 | − | 0.171573i | −0.0241574 | − | 0.0100063i | ||||
\(295\) | −1.75736 | − | 4.24264i | −0.102317 | − | 0.247016i | ||||
\(296\) | 37.6777 | − | 15.6066i | 2.18997 | − | 0.907115i | ||||
\(297\) | −9.65685 | − | 9.65685i | −0.560348 | − | 0.560348i | ||||
\(298\) | 28.9706 | + | 28.9706i | 1.67822 | + | 1.67822i | ||||
\(299\) | 6.24264 | − | 2.58579i | 0.361021 | − | 0.149540i | ||||
\(300\) | 7.00000 | + | 16.8995i | 0.404145 | + | 0.975693i | ||||
\(301\) | 2.00000 | + | 0.828427i | 0.115278 | + | 0.0477497i | ||||
\(302\) | 17.3137i | 0.996292i | ||||||||
\(303\) | −4.38478 | + | 10.5858i | −0.251899 | + | 0.608138i | ||||
\(304\) | −1.75736 | + | 1.75736i | −0.100791 | + | 0.100791i | ||||
\(305\) | 2.92893 | 0.167710 | ||||||||
\(306\) | −12.4853 | − | 13.2426i | −0.713736 | − | 0.757031i | ||||
\(307\) | −26.1421 | −1.49201 | −0.746005 | − | 0.665940i | \(-0.768031\pi\) | ||||
−0.746005 | + | 0.665940i | \(0.768031\pi\) | |||||||
\(308\) | 18.4853 | − | 18.4853i | 1.05330 | − | 1.05330i | ||||
\(309\) | 5.17157 | − | 12.4853i | 0.294201 | − | 0.710263i | ||||
\(310\) | 14.4853i | 0.822709i | ||||||||
\(311\) | 23.7279 | + | 9.82843i | 1.34549 | + | 0.557319i | 0.935032 | − | 0.354562i | \(-0.115370\pi\) |
0.410455 | + | 0.911881i | \(0.365370\pi\) | |||||||
\(312\) | 2.58579 | + | 6.24264i | 0.146391 | + | 0.353420i | ||||
\(313\) | −9.12132 | + | 3.77817i | −0.515568 | + | 0.213555i | −0.625269 | − | 0.780410i | \(-0.715011\pi\) |
0.109701 | + | 0.993965i | \(0.465011\pi\) | |||||||
\(314\) | −16.4853 | − | 16.4853i | −0.930318 | − | 0.930318i | ||||
\(315\) | 2.58579 | + | 2.58579i | 0.145693 | + | 0.145693i | ||||
\(316\) | 16.8995 | − | 7.00000i | 0.950671 | − | 0.393781i | ||||
\(317\) | 7.36396 | + | 17.7782i | 0.413601 | + | 0.998522i | 0.984163 | + | 0.177267i | \(0.0567256\pi\) |
−0.570562 | + | 0.821255i | \(0.693274\pi\) | |||||||
\(318\) | −3.41421 | − | 1.41421i | −0.191460 | − | 0.0793052i | ||||
\(319\) | 0.828427i | 0.0463830i | ||||||||
\(320\) | −2.87868 | + | 6.94975i | −0.160923 | + | 0.388503i | ||||
\(321\) | 0.343146 | − | 0.343146i | 0.0191525 | − | 0.0191525i | ||||
\(322\) | −30.1421 | −1.67976 | ||||||||
\(323\) | 3.41421 | + | 0.100505i | 0.189972 | + | 0.00559225i | ||||
\(324\) | −0.656854 | −0.0364919 | ||||||||
\(325\) | 4.41421 | − | 4.41421i | 0.244857 | − | 0.244857i | ||||
\(326\) | 7.82843 | − | 18.8995i | 0.433576 | − | 1.04675i | ||||
\(327\) | − | 16.8284i | − | 0.930614i | ||||||
\(328\) | 4.94975 | + | 2.05025i | 0.273304 | + | 0.113206i | ||||
\(329\) | −5.17157 | − | 12.4853i | −0.285118 | − | 0.688336i | ||||
\(330\) | −4.82843 | + | 2.00000i | −0.265796 | + | 0.110096i | ||||
\(331\) | −15.4142 | − | 15.4142i | −0.847242 | − | 0.847242i | 0.142546 | − | 0.989788i | \(-0.454471\pi\) |
−0.989788 | + | 0.142546i | \(0.954471\pi\) | |||||||
\(332\) | −31.5563 | − | 31.5563i | −1.73188 | − | 1.73188i | ||||
\(333\) | 15.6066 | − | 6.46447i | 0.855237 | − | 0.354251i | ||||
\(334\) | 1.82843 | + | 4.41421i | 0.100047 | + | 0.241535i | ||||
\(335\) | −0.828427 | − | 0.343146i | −0.0452618 | − | 0.0187481i | ||||
\(336\) | − | 8.48528i | − | 0.462910i | ||||||
\(337\) | −2.15076 | + | 5.19239i | −0.117159 | + | 0.282847i | −0.971571 | − | 0.236750i | \(-0.923918\pi\) |
0.854411 | + | 0.519597i | \(0.173918\pi\) | |||||||
\(338\) | −18.7782 | + | 18.7782i | −1.02140 | + | 1.02140i | ||||
\(339\) | 14.2843 | 0.775815 | ||||||||
\(340\) | −11.2929 | + | 4.29289i | −0.612443 | + | 0.232815i | ||||
\(341\) | 20.4853 | 1.10934 | ||||||||
\(342\) | −2.58579 | + | 2.58579i | −0.139823 | + | 0.139823i | ||||
\(343\) | 7.17157 | − | 17.3137i | 0.387229 | − | 0.934852i | ||||
\(344\) | − | 3.65685i | − | 0.197164i | ||||||
\(345\) | 3.65685 | + | 1.51472i | 0.196878 | + | 0.0815497i | ||||
\(346\) | 2.70711 | + | 6.53553i | 0.145535 | + | 0.351352i | ||||
\(347\) | 15.4853 | − | 6.41421i | 0.831293 | − | 0.344333i | 0.0738788 | − | 0.997267i | \(-0.476462\pi\) |
0.757415 | + | 0.652934i | \(0.226462\pi\) | |||||||
\(348\) | 0.928932 | + | 0.928932i | 0.0497960 | + | 0.0497960i | ||||
\(349\) | 3.00000 | + | 3.00000i | 0.160586 | + | 0.160586i | 0.782826 | − | 0.622240i | \(-0.213777\pi\) |
−0.622240 | + | 0.782826i | \(0.713777\pi\) | |||||||
\(350\) | −25.7279 | + | 10.6569i | −1.37522 | + | 0.569633i | ||||
\(351\) | 2.82843 | + | 6.82843i | 0.150970 | + | 0.364474i | ||||
\(352\) | 3.82843 | + | 1.58579i | 0.204056 | + | 0.0845227i | ||||
\(353\) | − | 14.0000i | − | 0.745145i | −0.928003 | − | 0.372572i | \(-0.878476\pi\) | ||
0.928003 | − | 0.372572i | \(-0.121524\pi\) | |||||||
\(354\) | −6.00000 | + | 14.4853i | −0.318896 | + | 0.769884i | ||||
\(355\) | 2.92893 | − | 2.92893i | 0.155452 | − | 0.155452i | ||||
\(356\) | −25.2132 | −1.33630 | ||||||||
\(357\) | −8.48528 | + | 8.00000i | −0.449089 | + | 0.423405i | ||||
\(358\) | 14.4853 | 0.765571 | ||||||||
\(359\) | −20.3848 | + | 20.3848i | −1.07587 | + | 1.07587i | −0.0789921 | + | 0.996875i | \(0.525170\pi\) |
−0.996875 | + | 0.0789921i | \(0.974830\pi\) | |||||||
\(360\) | 2.36396 | − | 5.70711i | 0.124592 | − | 0.300791i | ||||
\(361\) | 18.3137i | 0.963879i | ||||||||
\(362\) | 26.0208 | + | 10.7782i | 1.36762 | + | 0.566488i | ||||
\(363\) | −1.72792 | − | 4.17157i | −0.0906924 | − | 0.218951i | ||||
\(364\) | −13.0711 | + | 5.41421i | −0.685110 | + | 0.283782i | ||||
\(365\) | 7.00000 | + | 7.00000i | 0.366397 | + | 0.366397i | ||||
\(366\) | −7.07107 | − | 7.07107i | −0.369611 | − | 0.369611i | ||||
\(367\) | −4.07107 | + | 1.68629i | −0.212508 | + | 0.0880237i | −0.486398 | − | 0.873737i | \(-0.661690\pi\) |
0.273890 | + | 0.961761i | \(0.411690\pi\) | |||||||
\(368\) | 5.48528 | + | 13.2426i | 0.285940 | + | 0.690320i | ||||
\(369\) | 2.05025 | + | 0.849242i | 0.106732 | + | 0.0442098i | ||||
\(370\) | − | 17.0711i | − | 0.887483i | ||||||
\(371\) | 1.41421 | − | 3.41421i | 0.0734223 | − | 0.177257i | ||||
\(372\) | 22.9706 | − | 22.9706i | 1.19097 | − | 1.19097i | ||||
\(373\) | 11.5563 | 0.598365 | 0.299183 | − | 0.954196i | \(-0.403286\pi\) | ||||
0.299183 | + | 0.954196i | \(0.403286\pi\) | |||||||
\(374\) | 9.24264 | + | 24.3137i | 0.477926 | + | 1.25723i | ||||
\(375\) | 7.79899 | 0.402738 | ||||||||
\(376\) | −16.1421 | + | 16.1421i | −0.832467 | + | 0.832467i | ||||
\(377\) | 0.171573 | − | 0.414214i | 0.00883645 | − | 0.0213331i | ||||
\(378\) | − | 32.9706i | − | 1.69582i | ||||||
\(379\) | −2.41421 | − | 1.00000i | −0.124010 | − | 0.0513665i | 0.319816 | − | 0.947480i | \(-0.396379\pi\) |
−0.443826 | + | 0.896113i | \(0.646379\pi\) | |||||||
\(380\) | 0.928932 | + | 2.24264i | 0.0476532 | + | 0.115045i | ||||
\(381\) | −5.31371 | + | 2.20101i | −0.272230 | + | 0.112761i | ||||
\(382\) | 34.1421 | + | 34.1421i | 1.74686 | + | 1.74686i | ||||
\(383\) | −15.8995 | − | 15.8995i | −0.812426 | − | 0.812426i | 0.172571 | − | 0.984997i | \(-0.444793\pi\) |
−0.984997 | + | 0.172571i | \(0.944793\pi\) | |||||||
\(384\) | 20.5563 | − | 8.51472i | 1.04901 | − | 0.434515i | ||||
\(385\) | −2.00000 | − | 4.82843i | −0.101929 | − | 0.246079i | ||||
\(386\) | −5.12132 | − | 2.12132i | −0.260668 | − | 0.107972i | ||||
\(387\) | − | 1.51472i | − | 0.0769975i | ||||||
\(388\) | 15.1213 | − | 36.5061i | 0.767669 | − | 1.85332i | ||||
\(389\) | −8.58579 | + | 8.58579i | −0.435317 | + | 0.435317i | −0.890432 | − | 0.455116i | \(-0.849598\pi\) |
0.455116 | + | 0.890432i | \(0.349598\pi\) | |||||||
\(390\) | 2.82843 | 0.143223 | ||||||||
\(391\) | 8.07107 | − | 17.9706i | 0.408171 | − | 0.908810i | ||||
\(392\) | −0.757359 | −0.0382524 | ||||||||
\(393\) | −11.6569 | + | 11.6569i | −0.588011 | + | 0.588011i | ||||
\(394\) | 4.29289 | − | 10.3640i | 0.216273 | − | 0.522129i | ||||
\(395\) | − | 3.65685i | − | 0.183996i | ||||||
\(396\) | −16.8995 | − | 7.00000i | −0.849232 | − | 0.351763i | ||||
\(397\) | 6.80761 | + | 16.4350i | 0.341664 | + | 0.824850i | 0.997548 | + | 0.0699884i | \(0.0222962\pi\) |
−0.655884 | + | 0.754862i | \(0.727704\pi\) | |||||||
\(398\) | −25.7279 | + | 10.6569i | −1.28962 | + | 0.534180i | ||||
\(399\) | 1.65685 | + | 1.65685i | 0.0829465 | + | 0.0829465i | ||||
\(400\) | 9.36396 | + | 9.36396i | 0.468198 | + | 0.468198i | ||||
\(401\) | −0.535534 | + | 0.221825i | −0.0267433 | + | 0.0110774i | −0.396015 | − | 0.918244i | \(-0.629607\pi\) |
0.369272 | + | 0.929321i | \(0.379607\pi\) | |||||||
\(402\) | 1.17157 | + | 2.82843i | 0.0584327 | + | 0.141069i | ||||
\(403\) | −10.2426 | − | 4.24264i | −0.510222 | − | 0.211341i | ||||
\(404\) | 40.5269i | 2.01629i | ||||||||
\(405\) | −0.0502525 | + | 0.121320i | −0.00249707 | + | 0.00602846i | ||||
\(406\) | −1.41421 | + | 1.41421i | −0.0701862 | + | 0.0701862i | ||||
\(407\) | −24.1421 | −1.19668 | ||||||||
\(408\) | 17.9706 | + | 8.07107i | 0.889675 | + | 0.399577i | ||||
\(409\) | −3.31371 | −0.163852 | −0.0819262 | − | 0.996638i | \(-0.526107\pi\) | ||||
−0.0819262 | + | 0.996638i | \(0.526107\pi\) | |||||||
\(410\) | 1.58579 | − | 1.58579i | 0.0783164 | − | 0.0783164i | ||||
\(411\) | −6.92893 | + | 16.7279i | −0.341779 | + | 0.825128i | ||||
\(412\) | − | 47.7990i | − | 2.35489i | ||||||
\(413\) | −14.4853 | − | 6.00000i | −0.712774 | − | 0.295241i | ||||
\(414\) | 8.07107 | + | 19.4853i | 0.396671 | + | 0.957649i | ||||
\(415\) | −8.24264 | + | 3.41421i | −0.404615 | + | 0.167597i | ||||
\(416\) | −1.58579 | − | 1.58579i | −0.0777496 | − | 0.0777496i | ||||
\(417\) | 16.3431 | + | 16.3431i | 0.800327 | + | 0.800327i | ||||
\(418\) | 4.82843 | − | 2.00000i | 0.236166 | − | 0.0978232i | ||||
\(419\) | −5.10051 | − | 12.3137i | −0.249176 | − | 0.601564i | 0.748959 | − | 0.662617i | \(-0.230554\pi\) |
−0.998135 | + | 0.0610528i | \(0.980554\pi\) | |||||||
\(420\) | −7.65685 | − | 3.17157i | −0.373616 | − | 0.154757i | ||||
\(421\) | 14.5858i | 0.710868i | 0.934701 | + | 0.355434i | \(0.115667\pi\) | ||||
−0.934701 | + | 0.355434i | \(0.884333\pi\) | |||||||
\(422\) | 19.7279 | − | 47.6274i | 0.960340 | − | 2.31847i | ||||
\(423\) | −6.68629 | + | 6.68629i | −0.325099 | + | 0.325099i | ||||
\(424\) | −6.24264 | −0.303169 | ||||||||
\(425\) | 0.535534 | − | 18.1924i | 0.0259772 | − | 0.882460i | ||||
\(426\) | −14.1421 | −0.685189 | ||||||||
\(427\) | 7.07107 | − | 7.07107i | 0.342193 | − | 0.342193i | ||||
\(428\) | 0.656854 | − | 1.58579i | 0.0317502 | − | 0.0766519i | ||||
\(429\) | − | 4.00000i | − | 0.193122i | ||||||
\(430\) | −1.41421 | − | 0.585786i | −0.0681994 | − | 0.0282491i | ||||
\(431\) | 2.79899 | + | 6.75736i | 0.134823 | + | 0.325491i | 0.976844 | − | 0.213954i | \(-0.0686343\pi\) |
−0.842021 | + | 0.539445i | \(0.818634\pi\) | |||||||
\(432\) | −14.4853 | + | 6.00000i | −0.696923 | + | 0.288675i | ||||
\(433\) | 14.7279 | + | 14.7279i | 0.707779 | + | 0.707779i | 0.966068 | − | 0.258289i | \(-0.0831587\pi\) |
−0.258289 | + | 0.966068i | \(0.583159\pi\) | |||||||
\(434\) | 34.9706 | + | 34.9706i | 1.67864 | + | 1.67864i | ||||
\(435\) | 0.242641 | − | 0.100505i | 0.0116337 | − | 0.00481885i | ||||
\(436\) | −22.7782 | − | 54.9914i | −1.09088 | − | 2.63361i | ||||
\(437\) | −3.65685 | − | 1.51472i | −0.174931 | − | 0.0724588i | ||||
\(438\) | − | 33.7990i | − | 1.61498i | ||||||
\(439\) | −4.07107 | + | 9.82843i | −0.194301 | + | 0.469085i | −0.990763 | − | 0.135604i | \(-0.956703\pi\) |
0.796462 | + | 0.604689i | \(0.206703\pi\) | |||||||
\(440\) | −6.24264 | + | 6.24264i | −0.297606 | + | 0.297606i | ||||
\(441\) | −0.313708 | −0.0149385 | ||||||||
\(442\) | 0.414214 | − | 14.0711i | 0.0197021 | − | 0.669292i | ||||
\(443\) | −23.7990 | −1.13072 | −0.565362 | − | 0.824843i | \(-0.691264\pi\) | ||||
−0.565362 | + | 0.824843i | \(0.691264\pi\) | |||||||
\(444\) | −27.0711 | + | 27.0711i | −1.28474 | + | 1.28474i | ||||
\(445\) | −1.92893 | + | 4.65685i | −0.0914402 | + | 0.220756i | ||||
\(446\) | 11.6569i | 0.551968i | ||||||||
\(447\) | −16.9706 | − | 7.02944i | −0.802680 | − | 0.332481i | ||||
\(448\) | 9.82843 | + | 23.7279i | 0.464350 | + | 1.12104i | ||||
\(449\) | 11.1924 | − | 4.63604i | 0.528201 | − | 0.218788i | −0.102614 | − | 0.994721i | \(-0.532721\pi\) |
0.630815 | + | 0.775933i | \(0.282721\pi\) | |||||||
\(450\) | 13.7782 | + | 13.7782i | 0.649509 | + | 0.649509i | ||||
\(451\) | −2.24264 | − | 2.24264i | −0.105602 | − | 0.105602i | ||||
\(452\) | 46.6777 | − | 19.3345i | 2.19553 | − | 0.909419i | ||||
\(453\) | −2.97056 | − | 7.17157i | −0.139569 | − | 0.336950i | ||||
\(454\) | −38.7990 | − | 16.0711i | −1.82093 | − | 0.754253i | ||||
\(455\) | 2.82843i | 0.132599i | ||||||||
\(456\) | 1.51472 | − | 3.65685i | 0.0709332 | − | 0.171248i | ||||
\(457\) | 9.31371 | − | 9.31371i | 0.435677 | − | 0.435677i | −0.454877 | − | 0.890554i | \(-0.650317\pi\) |
0.890554 | + | 0.454877i | \(0.150317\pi\) | |||||||
\(458\) | 41.4558 | 1.93710 | ||||||||
\(459\) | 19.6569 | + | 8.82843i | 0.917503 | + | 0.412076i | ||||
\(460\) | 14.0000 | 0.652753 | ||||||||
\(461\) | 17.0000 | − | 17.0000i | 0.791769 | − | 0.791769i | −0.190013 | − | 0.981782i | \(-0.560853\pi\) |
0.981782 | + | 0.190013i | \(0.0608529\pi\) | |||||||
\(462\) | −6.82843 | + | 16.4853i | −0.317687 | + | 0.766965i | ||||
\(463\) | − | 14.6274i | − | 0.679794i | −0.940463 | − | 0.339897i | \(-0.889608\pi\) | ||
0.940463 | − | 0.339897i | \(-0.110392\pi\) | |||||||
\(464\) | 0.878680 | + | 0.363961i | 0.0407917 | + | 0.0168965i | ||||
\(465\) | −2.48528 | − | 6.00000i | −0.115252 | − | 0.278243i | ||||
\(466\) | −19.6066 | + | 8.12132i | −0.908258 | + | 0.376213i | ||||
\(467\) | 23.0711 | + | 23.0711i | 1.06760 | + | 1.06760i | 0.997543 | + | 0.0700588i | \(0.0223187\pi\) |
0.0700588 | + | 0.997543i | \(0.477681\pi\) | |||||||
\(468\) | 7.00000 | + | 7.00000i | 0.323575 | + | 0.323575i | ||||
\(469\) | −2.82843 | + | 1.17157i | −0.130605 | + | 0.0540982i | ||||
\(470\) | 3.65685 | + | 8.82843i | 0.168678 | + | 0.407225i | ||||
\(471\) | 9.65685 | + | 4.00000i | 0.444964 | + | 0.184310i | ||||
\(472\) | 26.4853i | 1.21908i | ||||||||
\(473\) | −0.828427 | + | 2.00000i | −0.0380911 | + | 0.0919601i | ||||
\(474\) | −8.82843 | + | 8.82843i | −0.405503 | + | 0.405503i | ||||
\(475\) | −3.65685 | −0.167788 | ||||||||
\(476\) | −16.8995 | + | 37.6274i | −0.774587 | + | 1.72465i | ||||
\(477\) | −2.58579 | −0.118395 | ||||||||
\(478\) | −25.3137 | + | 25.3137i | −1.15782 | + | 1.15782i | ||||
\(479\) | 1.97056 | − | 4.75736i | 0.0900373 | − | 0.217369i | −0.872446 | − | 0.488711i | \(-0.837467\pi\) |
0.962483 | + | 0.271342i | \(0.0874673\pi\) | |||||||
\(480\) | − | 1.31371i | − | 0.0599623i | ||||||
\(481\) | 12.0711 | + | 5.00000i | 0.550393 | + | 0.227980i | ||||
\(482\) | −3.29289 | − | 7.94975i | −0.149987 | − | 0.362101i | ||||
\(483\) | 12.4853 | − | 5.17157i | 0.568100 | − | 0.235315i | ||||
\(484\) | −11.2929 | − | 11.2929i | −0.513313 | − | 0.513313i | ||||
\(485\) | −5.58579 | − | 5.58579i | −0.253637 | − | 0.253637i | ||||
\(486\) | −34.5563 | + | 14.3137i | −1.56751 | + | 0.649283i | ||||
\(487\) | 10.0711 | + | 24.3137i | 0.456364 | + | 1.10176i | 0.969859 | + | 0.243667i | \(0.0783504\pi\) |
−0.513495 | + | 0.858092i | \(0.671650\pi\) | |||||||
\(488\) | −15.6066 | − | 6.46447i | −0.706478 | − | 0.292633i | ||||
\(489\) | 9.17157i | 0.414753i | ||||||||
\(490\) | −0.121320 | + | 0.292893i | −0.00548069 | + | 0.0132316i | ||||
\(491\) | 26.2426 | − | 26.2426i | 1.18431 | − | 1.18431i | 0.205698 | − | 0.978615i | \(-0.434053\pi\) |
0.978615 | − | 0.205698i | \(-0.0659466\pi\) | |||||||
\(492\) | −5.02944 | −0.226745 | ||||||||
\(493\) | −0.464466 | − | 1.22183i | −0.0209185 | − | 0.0550282i | ||||
\(494\) | −2.82843 | −0.127257 | ||||||||
\(495\) | −2.58579 | + | 2.58579i | −0.116222 | + | 0.116222i | ||||
\(496\) | 9.00000 | − | 21.7279i | 0.404112 | − | 0.975613i | ||||
\(497\) | − | 14.1421i | − | 0.634361i | ||||||
\(498\) | 28.1421 | + | 11.6569i | 1.26108 | + | 0.522356i | ||||
\(499\) | −8.21320 | − | 19.8284i | −0.367673 | − | 0.887642i | −0.994131 | − | 0.108186i | \(-0.965496\pi\) |
0.626457 | − | 0.779456i | \(-0.284504\pi\) | |||||||
\(500\) | 25.4853 | − | 10.5563i | 1.13974 | − | 0.472094i | ||||
\(501\) | −1.51472 | − | 1.51472i | −0.0676726 | − | 0.0676726i | ||||
\(502\) | −34.9706 | − | 34.9706i | −1.56081 | − | 1.56081i | ||||
\(503\) | −19.7279 | + | 8.17157i | −0.879625 | + | 0.364352i | −0.776351 | − | 0.630301i | \(-0.782932\pi\) |
−0.103273 | + | 0.994653i | \(0.532932\pi\) | |||||||
\(504\) | −8.07107 | − | 19.4853i | −0.359514 | − | 0.867943i | ||||
\(505\) | 7.48528 | + | 3.10051i | 0.333091 | + | 0.137971i | ||||
\(506\) | − | 30.1421i | − | 1.33998i | ||||||
\(507\) | 4.55635 | − | 11.0000i | 0.202355 | − | 0.488527i | ||||
\(508\) | −14.3848 | + | 14.3848i | −0.638221 | + | 0.638221i | ||||
\(509\) | −36.9706 | −1.63869 | −0.819346 | − | 0.573300i | \(-0.805663\pi\) | ||||
−0.819346 | + | 0.573300i | \(0.805663\pi\) | |||||||
\(510\) | 6.00000 | − | 5.65685i | 0.265684 | − | 0.250490i | ||||
\(511\) | 33.7990 | 1.49518 | ||||||||
\(512\) | 22.0919 | − | 22.0919i | 0.976333 | − | 0.976333i | ||||
\(513\) | 1.65685 | − | 4.00000i | 0.0731519 | − | 0.176604i | ||||
\(514\) | − | 14.8284i | − | 0.654054i | ||||||
\(515\) | −8.82843 | − | 3.65685i | −0.389027 | − | 0.161140i | ||||
\(516\) | 1.31371 | + | 3.17157i | 0.0578328 | + | 0.139621i | ||||
\(517\) | 12.4853 | − | 5.17157i | 0.549102 | − | 0.227446i | ||||
\(518\) | −41.2132 | − | 41.2132i | −1.81080 | − | 1.81080i | ||||
\(519\) | −2.24264 | − | 2.24264i | −0.0984410 | − | 0.0984410i | ||||
\(520\) | 4.41421 | − | 1.82843i | 0.193576 | − | 0.0801818i | ||||
\(521\) | 7.12132 | + | 17.1924i | 0.311991 | + | 0.753212i | 0.999631 | + | 0.0271607i | \(0.00864660\pi\) |
−0.687640 | + | 0.726051i | \(0.741353\pi\) | |||||||
\(522\) | 1.29289 | + | 0.535534i | 0.0565884 | + | 0.0234397i | ||||
\(523\) | 1.17157i | 0.0512293i | 0.999672 | + | 0.0256147i | \(0.00815429\pi\) | ||||
−0.999672 | + | 0.0256147i | \(0.991846\pi\) | |||||||
\(524\) | −22.3137 | + | 53.8701i | −0.974779 | + | 2.35332i | ||||
\(525\) | 8.82843 | − | 8.82843i | 0.385304 | − | 0.385304i | ||||
\(526\) | 25.3137 | 1.10373 | ||||||||
\(527\) | −30.2132 | + | 11.4853i | −1.31611 | + | 0.500307i | ||||
\(528\) | 8.48528 | 0.369274 | ||||||||
\(529\) | 0.121320 | − | 0.121320i | 0.00527480 | − | 0.00527480i | ||||
\(530\) | −1.00000 | + | 2.41421i | −0.0434372 | + | 0.104867i | ||||
\(531\) | 10.9706i | 0.476082i | ||||||||
\(532\) | 7.65685 | + | 3.17157i | 0.331967 | + | 0.137505i | ||||
\(533\) | 0.656854 | + | 1.58579i | 0.0284515 | + | 0.0686880i | ||||
\(534\) | 15.8995 | − | 6.58579i | 0.688038 | − | 0.284995i | ||||
\(535\) | −0.242641 | − | 0.242641i | −0.0104903 | − | 0.0104903i | ||||
\(536\) | 3.65685 | + | 3.65685i | 0.157952 | + | 0.157952i | ||||
\(537\) | −6.00000 | + | 2.48528i | −0.258919 | + | 0.107248i | ||||
\(538\) | 24.4350 | + | 58.9914i | 1.05347 | + | 2.54330i | ||||
\(539\) | 0.414214 | + | 0.171573i | 0.0178414 | + | 0.00739017i | ||||
\(540\) | 15.3137i | 0.658997i | ||||||||
\(541\) | −7.05025 | + | 17.0208i | −0.303114 | + | 0.731782i | 0.696781 | + | 0.717284i | \(0.254615\pi\) |
−0.999895 | + | 0.0144979i | \(0.995385\pi\) | |||||||
\(542\) | −37.7990 | + | 37.7990i | −1.62361 | + | 1.62361i | ||||
\(543\) | −12.6274 | −0.541894 | ||||||||
\(544\) | −6.53553 | − | 0.192388i | −0.280209 | − | 0.00824857i | ||||
\(545\) | −11.8995 | −0.509718 | ||||||||
\(546\) | 6.82843 | − | 6.82843i | 0.292230 | − | 0.292230i | ||||
\(547\) | 3.10051 | − | 7.48528i | 0.132568 | − | 0.320048i | −0.843631 | − | 0.536923i | \(-0.819587\pi\) |
0.976199 | + | 0.216875i | \(0.0695866\pi\) | |||||||
\(548\) | 64.0416i | 2.73572i | ||||||||
\(549\) | −6.46447 | − | 2.67767i | −0.275897 | − | 0.114280i | ||||
\(550\) | −10.6569 | − | 25.7279i | −0.454410 | − | 1.09704i | ||||
\(551\) | −0.242641 | + | 0.100505i | −0.0103368 | + | 0.00428166i | ||||
\(552\) | −16.1421 | − | 16.1421i | −0.687055 | − | 0.687055i | ||||
\(553\) | −8.82843 | − | 8.82843i | −0.375423 | − | 0.375423i | ||||
\(554\) | 44.5061 | − | 18.4350i | 1.89088 | − | 0.783229i | ||||
\(555\) | 2.92893 | + | 7.07107i | 0.124326 | + | 0.300150i | ||||
\(556\) | 75.5269 | + | 31.2843i | 3.20305 | + | 1.32675i | ||||
\(557\) | − | 19.7574i | − | 0.837146i | −0.908183 | − | 0.418573i | \(-0.862530\pi\) | ||
0.908183 | − | 0.418573i | \(-0.137470\pi\) | |||||||
\(558\) | 13.2426 | − | 31.9706i | 0.560606 | − | 1.35342i | ||||
\(559\) | 0.828427 | − | 0.828427i | 0.0350387 | − | 0.0350387i | ||||
\(560\) | −6.00000 | −0.253546 | ||||||||
\(561\) | −8.00000 | − | 8.48528i | −0.337760 | − | 0.358249i | ||||
\(562\) | 4.58579 | 0.193440 | ||||||||
\(563\) | 24.5858 | − | 24.5858i | 1.03617 | − | 1.03617i | 0.0368464 | − | 0.999321i | \(-0.488269\pi\) |
0.999321 | − | 0.0368464i | \(-0.0117312\pi\) | |||||||
\(564\) | 8.20101 | − | 19.7990i | 0.345325 | − | 0.833688i | ||||
\(565\) | − | 10.1005i | − | 0.424931i | ||||||
\(566\) | 41.6274 | + | 17.2426i | 1.74973 | + | 0.724762i | ||||
\(567\) | 0.171573 | + | 0.414214i | 0.00720538 | + | 0.0173953i | ||||
\(568\) | −22.0711 | + | 9.14214i | −0.926081 | + | 0.383595i | ||||
\(569\) | 8.51472 | + | 8.51472i | 0.356956 | + | 0.356956i | 0.862690 | − | 0.505734i | \(-0.168778\pi\) |
−0.505734 | + | 0.862690i | \(0.668778\pi\) | |||||||
\(570\) | −1.17157 | − | 1.17157i | −0.0490718 | − | 0.0490718i | ||||
\(571\) | −3.92893 | + | 1.62742i | −0.164421 | + | 0.0681053i | −0.463376 | − | 0.886162i | \(-0.653362\pi\) |
0.298955 | + | 0.954267i | \(0.403362\pi\) | |||||||
\(572\) | −5.41421 | − | 13.0711i | −0.226380 | − | 0.546529i | ||||
\(573\) | −20.0000 | − | 8.28427i | −0.835512 | − | 0.346080i | ||||
\(574\) | − | 7.65685i | − | 0.319591i | ||||||
\(575\) | −8.07107 | + | 19.4853i | −0.336587 | + | 0.812592i | ||||
\(576\) | 12.7071 | − | 12.7071i | 0.529463 | − | 0.529463i | ||||
\(577\) | −27.0711 | −1.12698 | −0.563492 | − | 0.826122i | \(-0.690542\pi\) | ||||
−0.563492 | + | 0.826122i | \(0.690542\pi\) | |||||||
\(578\) | −27.2635 | − | 30.6777i | −1.13401 | − | 1.27602i | ||||
\(579\) | 2.48528 | 0.103285 | ||||||||
\(580\) | 0.656854 | − | 0.656854i | 0.0272744 | − | 0.0272744i | ||||
\(581\) | −11.6569 | + | 28.1421i | −0.483608 | + | 1.16753i | ||||
\(582\) | 26.9706i | 1.11797i | ||||||||
\(583\) | 3.41421 | + | 1.41421i | 0.141402 | + | 0.0585707i | ||||
\(584\) | −21.8492 | − | 52.7487i | −0.904128 | − | 2.18276i | ||||
\(585\) | 1.82843 | − | 0.757359i | 0.0755962 | − | 0.0313130i | ||||
\(586\) | −21.0711 | − | 21.0711i | −0.870438 | − | 0.870438i | ||||
\(587\) | 32.0416 | + | 32.0416i | 1.32250 | + | 1.32250i | 0.911747 | + | 0.410753i | \(0.134734\pi\) |
0.410753 | + | 0.911747i | \(0.365266\pi\) | |||||||
\(588\) | 0.656854 | − | 0.272078i | 0.0270882 | − | 0.0112203i | ||||
\(589\) | 2.48528 | + | 6.00000i | 0.102404 | + | 0.247226i | ||||
\(590\) | 10.2426 | + | 4.24264i | 0.421683 | + | 0.174667i | ||||
\(591\) | 5.02944i | 0.206883i | ||||||||
\(592\) | −10.6066 | + | 25.6066i | −0.435929 | + | 1.05242i | ||||
\(593\) | 9.14214 | − | 9.14214i | 0.375423 | − | 0.375423i | −0.494025 | − | 0.869448i | \(-0.664475\pi\) |
0.869448 | + | 0.494025i | \(0.164475\pi\) | |||||||
\(594\) | 32.9706 | 1.35280 | ||||||||
\(595\) | 5.65685 | + | 6.00000i | 0.231908 | + | 0.245976i | ||||
\(596\) | −64.9706 | −2.66130 | ||||||||
\(597\) | 8.82843 | − | 8.82843i | 0.361323 | − | 0.361323i | ||||
\(598\) | −6.24264 | + | 15.0711i | −0.255281 | + | 0.616302i | ||||
\(599\) | 10.6274i | 0.434224i | 0.976147 | + | 0.217112i | \(0.0696638\pi\) | ||||
−0.976147 | + | 0.217112i | \(0.930336\pi\) | |||||||
\(600\) | −19.4853 | − | 8.07107i | −0.795483 | − | 0.329500i | ||||
\(601\) | −3.22183 | − | 7.77817i | −0.131421 | − | 0.317278i | 0.844447 | − | 0.535639i | \(-0.179929\pi\) |
−0.975868 | + | 0.218360i | \(0.929929\pi\) | |||||||
\(602\) | −4.82843 | + | 2.00000i | −0.196792 | + | 0.0815139i | ||||
\(603\) | 1.51472 | + | 1.51472i | 0.0616841 | + | 0.0616841i | ||||
\(604\) | −19.4142 | − | 19.4142i | −0.789953 | − | 0.789953i | ||||
\(605\) | −2.94975 | + | 1.22183i | −0.119924 | + | 0.0496743i | ||||
\(606\) | −10.5858 | − | 25.5563i | −0.430018 | − | 1.03816i | ||||
\(607\) | 15.1421 | + | 6.27208i | 0.614600 | + | 0.254576i | 0.668194 | − | 0.743987i | \(-0.267068\pi\) |
−0.0535937 | + | 0.998563i | \(0.517068\pi\) | |||||||
\(608\) | 1.31371i | 0.0532779i | ||||||||
\(609\) | 0.343146 | − | 0.828427i | 0.0139050 | − | 0.0335696i | ||||
\(610\) | −5.00000 | + | 5.00000i | −0.202444 | + | 0.202444i | ||||
\(611\) | −7.31371 | −0.295881 | ||||||||
\(612\) | 28.8492 | + | 0.849242i | 1.16616 | + | 0.0343286i | ||||
\(613\) | 5.31371 | 0.214619 | 0.107309 | − | 0.994226i | \(-0.465776\pi\) | ||||
0.107309 | + | 0.994226i | \(0.465776\pi\) | |||||||
\(614\) | 44.6274 | − | 44.6274i | 1.80102 | − | 1.80102i | ||||
\(615\) | −0.384776 | + | 0.928932i | −0.0155157 | + | 0.0374582i | ||||
\(616\) | 30.1421i | 1.21446i | ||||||||
\(617\) | −2.70711 | − | 1.12132i | −0.108984 | − | 0.0451427i | 0.327525 | − | 0.944842i | \(-0.393785\pi\) |
−0.436509 | + | 0.899700i | \(0.643785\pi\) | |||||||
\(618\) | 12.4853 | + | 30.1421i | 0.502232 | + | 1.21249i | ||||
\(619\) | 26.3137 | − | 10.8995i | 1.05764 | − | 0.438088i | 0.215025 | − | 0.976609i | \(-0.431017\pi\) |
0.842612 | + | 0.538521i | \(0.181017\pi\) | |||||||
\(620\) | −16.2426 | − | 16.2426i | −0.652320 | − | 0.652320i | ||||
\(621\) | −17.6569 | − | 17.6569i | −0.708545 | − | 0.708545i | ||||
\(622\) | −57.2843 | + | 23.7279i | −2.29689 | + | 0.951403i | ||||
\(623\) | 6.58579 | + | 15.8995i | 0.263854 | + | 0.637000i | ||||
\(624\) | −4.24264 | − | 1.75736i | −0.169842 | − | 0.0703507i | ||||
\(625\) | 16.5563i | 0.662254i | ||||||||
\(626\) | 9.12132 | − | 22.0208i | 0.364561 | − | 0.880129i | ||||
\(627\) | −1.65685 | + | 1.65685i | −0.0661684 | + | 0.0661684i | ||||
\(628\) | 36.9706 | 1.47529 | ||||||||
\(629\) | 35.6066 | − | 13.5355i | 1.41973 | − | 0.539697i | ||||
\(630\) | −8.82843 | −0.351733 | ||||||||
\(631\) | −20.7279 | + | 20.7279i | −0.825166 | + | 0.825166i | −0.986844 | − | 0.161678i | \(-0.948309\pi\) |
0.161678 | + | 0.986844i | \(0.448309\pi\) | |||||||
\(632\) | −8.07107 | + | 19.4853i | −0.321050 | + | 0.775083i | ||||
\(633\) | 23.1127i | 0.918647i | ||||||||
\(634\) | −42.9203 | − | 17.7782i | −1.70458 | − | 0.706062i | ||||
\(635\) | 1.55635 | + | 3.75736i | 0.0617618 | + | 0.149106i | ||||
\(636\) | 5.41421 | − | 2.24264i | 0.214688 | − | 0.0889265i | ||||
\(637\) | −0.171573 | − | 0.171573i | −0.00679796 | − | 0.00679796i | ||||
\(638\) | −1.41421 | − | 1.41421i | −0.0559893 | − | 0.0559893i | ||||
\(639\) | −9.14214 | + | 3.78680i | −0.361657 | + | 0.149803i | ||||
\(640\) | −6.02082 | − | 14.5355i | −0.237994 | − | 0.574567i | ||||
\(641\) | −38.2635 | − | 15.8492i | −1.51132 | − | 0.626007i | −0.535487 | − | 0.844544i | \(-0.679872\pi\) |
−0.975829 | + | 0.218536i | \(0.929872\pi\) | |||||||
\(642\) | 1.17157i | 0.0462383i | ||||||||
\(643\) | 11.0416 | − | 26.6569i | 0.435439 | − | 1.05124i | −0.542066 | − | 0.840336i | \(-0.682358\pi\) |
0.977506 | − | 0.210908i | \(-0.0676421\pi\) | |||||||
\(644\) | 33.7990 | − | 33.7990i | 1.33187 | − | 1.33187i | ||||
\(645\) | 0.686292 | 0.0270227 | ||||||||
\(646\) | −6.00000 | + | 5.65685i | −0.236067 | + | 0.222566i | ||||
\(647\) | −2.82843 | −0.111197 | −0.0555985 | − | 0.998453i | \(-0.517707\pi\) | ||||
−0.0555985 | + | 0.998453i | \(0.517707\pi\) | |||||||
\(648\) | 0.535534 | − | 0.535534i | 0.0210378 | − | 0.0210378i | ||||
\(649\) | 6.00000 | − | 14.4853i | 0.235521 | − | 0.568597i | ||||
\(650\) | 15.0711i | 0.591136i | ||||||||
\(651\) | −20.4853 | − | 8.48528i | −0.802881 | − | 0.332564i | ||||
\(652\) | 12.4142 | + | 29.9706i | 0.486178 | + | 1.17374i | ||||
\(653\) | 8.77817 | − | 3.63604i | 0.343517 | − | 0.142289i | −0.204254 | − | 0.978918i | \(-0.565477\pi\) |
0.547770 | + | 0.836629i | \(0.315477\pi\) | |||||||
\(654\) | 28.7279 | + | 28.7279i | 1.12335 | + | 1.12335i | ||||
\(655\) | 8.24264 | + | 8.24264i | 0.322067 | + | 0.322067i | ||||
\(656\) | −3.36396 | + | 1.39340i | −0.131341 | + | 0.0544031i | ||||
\(657\) | −9.05025 | − | 21.8492i | −0.353084 | − | 0.852420i | ||||
\(658\) | 30.1421 | + | 12.4853i | 1.17506 | + | 0.486727i | ||||
\(659\) | − | 8.48528i | − | 0.330540i | −0.986248 | − | 0.165270i | \(-0.947151\pi\) | ||
0.986248 | − | 0.165270i | \(-0.0528495\pi\) | |||||||
\(660\) | 3.17157 | − | 7.65685i | 0.123453 | − | 0.298043i | ||||
\(661\) | 0.857864 | − | 0.857864i | 0.0333671 | − | 0.0333671i | −0.690226 | − | 0.723593i | \(-0.742489\pi\) |
0.723593 | + | 0.690226i | \(0.242489\pi\) | |||||||
\(662\) | 52.6274 | 2.04542 | ||||||||
\(663\) | 2.24264 | + | 5.89949i | 0.0870969 | + | 0.229117i | ||||
\(664\) | 51.4558 | 1.99687 | ||||||||
\(665\) | 1.17157 | − | 1.17157i | 0.0454316 | − | 0.0454316i | ||||
\(666\) | −15.6066 | + | 37.6777i | −0.604744 | + | 1.45998i | ||||
\(667\) | 1.51472i | 0.0586501i | ||||||||
\(668\) | −7.00000 | − | 2.89949i | −0.270838 | − | 0.112185i | ||||
\(669\) | −2.00000 | − | 4.82843i | −0.0773245 | − | 0.186678i | ||||
\(670\) | 2.00000 | − | 0.828427i | 0.0772667 | − | 0.0320049i | ||||
\(671\) | 7.07107 | + | 7.07107i | 0.272976 | + | 0.272976i | ||||
\(672\) | −3.17157 | − | 3.17157i | −0.122346 | − | 0.122346i | ||||
\(673\) | 4.12132 | − | 1.70711i | 0.158865 | − | 0.0658041i | −0.301834 | − | 0.953361i | \(-0.597599\pi\) |
0.460699 | + | 0.887556i | \(0.347599\pi\) | |||||||
\(674\) | −5.19239 | − | 12.5355i | −0.200003 | − | 0.482851i | ||||
\(675\) | −21.3137 | − | 8.82843i | −0.820365 | − | 0.339806i | ||||
\(676\) | − | 42.1127i | − | 1.61972i | ||||||
\(677\) | −14.5772 | + | 35.1924i | −0.560246 | + | 1.35255i | 0.349324 | + | 0.937002i | \(0.386411\pi\) |
−0.909570 | + | 0.415551i | \(0.863589\pi\) | |||||||
\(678\) | −24.3848 | + | 24.3848i | −0.936492 | + | 0.936492i | ||||
\(679\) | −26.9706 | −1.03504 | ||||||||
\(680\) | 5.70711 | − | 12.7071i | 0.218858 | − | 0.487295i | ||||
\(681\) | 18.8284 | 0.721507 | ||||||||
\(682\) | −34.9706 | + | 34.9706i | −1.33909 | + | 1.33909i | ||||
\(683\) | −9.10051 | + | 21.9706i | −0.348221 | + | 0.840680i | 0.648609 | + | 0.761122i | \(0.275351\pi\) |
−0.996830 | + | 0.0795585i | \(0.974649\pi\) | |||||||
\(684\) | − | 5.79899i | − | 0.221730i | ||||||
\(685\) | 11.8284 | + | 4.89949i | 0.451941 | + | 0.187200i | ||||
\(686\) | 17.3137 | + | 41.7990i | 0.661040 | + | 1.59589i | ||||
\(687\) | −17.1716 | + | 7.11270i | −0.655136 | + | 0.271366i | ||||
\(688\) | 1.75736 | + | 1.75736i | 0.0669987 | + | 0.0669987i | ||||
\(689\) | −1.41421 | − | 1.41421i | −0.0538772 | − | 0.0538772i | ||||
\(690\) | −8.82843 | + | 3.65685i | −0.336092 | + | 0.139214i | ||||
\(691\) | −7.62742 | − | 18.4142i | −0.290161 | − | 0.700510i | 0.709832 | − | 0.704371i | \(-0.248771\pi\) |
−0.999993 | + | 0.00386139i | \(0.998771\pi\) | |||||||
\(692\) | −10.3640 | − | 4.29289i | −0.393979 | − | 0.163191i | ||||
\(693\) | 12.4853i | 0.474277i | ||||||||
\(694\) | −15.4853 | + | 37.3848i | −0.587813 | + | 1.41911i | ||||
\(695\) | 11.5563 | − | 11.5563i | 0.438357 | − | 0.438357i | ||||
\(696\) | −1.51472 | −0.0574153 | ||||||||
\(697\) | 4.56497 | + | 2.05025i | 0.172911 | + | 0.0776589i | ||||
\(698\) | −10.2426 | −0.387690 | ||||||||
\(699\) | 6.72792 | − | 6.72792i | 0.254473 | − | 0.254473i | ||||
\(700\) | 16.8995 | − | 40.7990i | 0.638741 | − | 1.54206i | ||||
\(701\) | − | 37.6985i | − | 1.42385i | −0.702254 | − | 0.711926i | \(-0.747823\pi\) | ||
0.702254 | − | 0.711926i | \(-0.252177\pi\) | |||||||
\(702\) | −16.4853 | − | 6.82843i | −0.622197 | − | 0.257722i | ||||
\(703\) | −2.92893 | − | 7.07107i | −0.110467 | − | 0.266690i | ||||
\(704\) | −23.7279 | + | 9.82843i | −0.894280 | + | 0.370423i | ||||
\(705\) | −3.02944 | − | 3.02944i | −0.114095 | − | 0.114095i | ||||
\(706\) | 23.8995 | + | 23.8995i | 0.899469 | + | 0.899469i | ||||
\(707\) | 25.5563 | − | 10.5858i | 0.961145 | − | 0.398119i | ||||
\(708\) | −9.51472 | − | 22.9706i | −0.357585 | − | 0.863287i | ||||
\(709\) | 22.4350 | + | 9.29289i | 0.842565 | + | 0.349002i | 0.761864 | − | 0.647736i | \(-0.224284\pi\) |
0.0807007 | + | 0.996738i | \(0.474284\pi\) | |||||||
\(710\) | 10.0000i | 0.375293i | ||||||||
\(711\) | −3.34315 | + | 8.07107i | −0.125378 | + | 0.302689i | ||||
\(712\) | 20.5563 | − | 20.5563i | 0.770382 | − | 0.770382i | ||||
\(713\) | 37.4558 | 1.40273 | ||||||||
\(714\) | 0.828427 | − | 28.1421i | 0.0310031 | − | 1.05319i | ||||
\(715\) | −2.82843 | −0.105777 | ||||||||
\(716\) | −16.2426 | + | 16.2426i | −0.607016 | + | 0.607016i | ||||
\(717\) | 6.14214 | − | 14.8284i | 0.229382 | − | 0.553778i | ||||
\(718\) | − | 69.5980i | − | 2.59737i | ||||||
\(719\) | −31.3848 | − | 13.0000i | −1.17045 | − | 0.484818i | −0.289112 | − | 0.957295i | \(-0.593360\pi\) |
−0.881343 | + | 0.472477i | \(0.843360\pi\) | |||||||
\(720\) | 1.60660 | + | 3.87868i | 0.0598745 | + | 0.144550i | ||||
\(721\) | −30.1421 | + | 12.4853i | −1.12255 | + | 0.464976i | ||||
\(722\) | −31.2635 | − | 31.2635i | −1.16351 | − | 1.16351i | ||||
\(723\) | 2.72792 | + | 2.72792i | 0.101453 | + | 0.101453i | ||||
\(724\) | −41.2635 | + | 17.0919i | −1.53354 | + | 0.635215i | ||||
\(725\) | 0.535534 | + | 1.29289i | 0.0198892 | + | 0.0480168i | ||||
\(726\) | 10.0711 | + | 4.17157i | 0.373772 | + | 0.154822i | ||||
\(727\) | − | 43.1127i | − | 1.59896i | −0.600692 | − | 0.799481i | \(-0.705108\pi\) | ||
0.600692 | − | 0.799481i | \(-0.294892\pi\) | |||||||
\(728\) | 6.24264 | − | 15.0711i | 0.231368 | − | 0.558571i | ||||
\(729\) | 12.2218 | − | 12.2218i | 0.452660 | − | 0.452660i | ||||
\(730\) | −23.8995 | −0.884560 | ||||||||
\(731\) | 0.100505 | − | 3.41421i | 0.00371731 | − | 0.126279i | ||||
\(732\) | 15.8579 | 0.586124 | ||||||||
\(733\) | −25.4853 | + | 25.4853i | −0.941320 | + | 0.941320i | −0.998371 | − | 0.0570509i | \(-0.981830\pi\) |
0.0570509 | + | 0.998371i | \(0.481830\pi\) | |||||||
\(734\) | 4.07107 | − | 9.82843i | 0.150266 | − | 0.362774i | ||||
\(735\) | − | 0.142136i | − | 0.00524275i | ||||||
\(736\) | 7.00000 | + | 2.89949i | 0.258023 | + | 0.106877i | ||||
\(737\) | −1.17157 | − | 2.82843i | −0.0431554 | − | 0.104186i | ||||
\(738\) | −4.94975 | + | 2.05025i | −0.182203 | + | 0.0754708i | ||||
\(739\) | 15.7574 | + | 15.7574i | 0.579644 | + | 0.579644i | 0.934805 | − | 0.355161i | \(-0.115574\pi\) |
−0.355161 | + | 0.934805i | \(0.615574\pi\) | |||||||
\(740\) | 19.1421 | + | 19.1421i | 0.703679 | + | 0.703679i | ||||
\(741\) | 1.17157 | − | 0.485281i | 0.0430388 | − | 0.0178273i | ||||
\(742\) | 3.41421 | + | 8.24264i | 0.125340 | + | 0.302597i | ||||
\(743\) | 47.1421 | + | 19.5269i | 1.72948 | + | 0.716373i | 0.999457 | + | 0.0329473i | \(0.0104893\pi\) |
0.730020 | + | 0.683426i | \(0.239511\pi\) | |||||||
\(744\) | 37.4558i | 1.37320i | ||||||||
\(745\) | −4.97056 | + | 12.0000i | −0.182107 | + | 0.439646i | ||||
\(746\) | −19.7279 | + | 19.7279i | −0.722291 | + | 0.722291i | ||||
\(747\) | 21.3137 | 0.779828 | ||||||||
\(748\) | −37.6274 | − | 16.8995i | −1.37579 | − | 0.617907i | ||||
\(749\) | −1.17157 | −0.0428083 | ||||||||
\(750\) | −13.3137 | + | 13.3137i | −0.486148 | + | 0.486148i | ||||
\(751\) | 18.2132 | − | 43.9706i | 0.664609 | − | 1.60451i | −0.125889 | − | 0.992044i | \(-0.540178\pi\) |
0.790498 | − | 0.612464i | \(-0.209822\pi\) | |||||||
\(752\) | − | 15.5147i | − | 0.565764i | ||||||
\(753\) | 20.4853 | + | 8.48528i | 0.746525 | + | 0.309221i | ||||
\(754\) | 0.414214 | + | 1.00000i | 0.0150848 | + | 0.0364179i | ||||
\(755\) | −5.07107 | + | 2.10051i | −0.184555 | + | 0.0764452i | ||||
\(756\) | 36.9706 | + | 36.9706i | 1.34461 | + | 1.34461i | ||||
\(757\) | −1.79899 | − | 1.79899i | −0.0653854 | − | 0.0653854i | 0.673658 | − | 0.739043i | \(-0.264722\pi\) |
−0.739043 | + | 0.673658i | \(0.764722\pi\) | |||||||
\(758\) | 5.82843 | − | 2.41421i | 0.211698 | − | 0.0876882i | ||||
\(759\) | 5.17157 | + | 12.4853i | 0.187716 | + | 0.453187i | ||||
\(760\) | −2.58579 | − | 1.07107i | −0.0937963 | − | 0.0388517i | ||||
\(761\) | 37.6985i | 1.36657i | 0.730152 | + | 0.683285i | \(0.239449\pi\) | ||||
−0.730152 | + | 0.683285i | \(0.760551\pi\) | |||||||
\(762\) | 5.31371 | − | 12.8284i | 0.192495 | − | 0.464725i | ||||
\(763\) | −28.7279 | + | 28.7279i | −1.04002 | + | 1.04002i | ||||
\(764\) | −76.5685 | −2.77015 | ||||||||
\(765\) | 2.36396 | − | 5.26346i | 0.0854692 | − | 0.190301i | ||||
\(766\) | 54.2843 | 1.96137 | ||||||||
\(767\) | −6.00000 | + | 6.00000i | −0.216647 | + | 0.216647i | ||||
\(768\) | −12.4142 | + | 29.9706i | −0.447959 | + | 1.08147i | ||||
\(769\) | − | 12.7279i | − | 0.458981i | −0.973311 | − | 0.229490i | \(-0.926294\pi\) | ||
0.973311 | − | 0.229490i | \(-0.0737059\pi\) | |||||||
\(770\) | 11.6569 | + | 4.82843i | 0.420084 | + | 0.174004i | ||||
\(771\) | 2.54416 | + | 6.14214i | 0.0916255 | + | 0.221204i | ||||
\(772\) | 8.12132 | − | 3.36396i | 0.292293 | − | 0.121072i | ||||
\(773\) | −0.585786 | − | 0.585786i | −0.0210693 | − | 0.0210693i | 0.696494 | − | 0.717563i | \(-0.254742\pi\) |
−0.717563 | + | 0.696494i | \(0.754742\pi\) | |||||||
\(774\) | 2.58579 | + | 2.58579i | 0.0929442 | + | 0.0929442i | ||||
\(775\) | 31.9706 | − | 13.2426i | 1.14842 | − | 0.475690i | ||||
\(776\) | 17.4350 | + | 42.0919i | 0.625881 | + | 1.51101i | ||||
\(777\) | 24.1421 | + | 10.0000i | 0.866094 | + | 0.358748i | ||||
\(778\) | − | 29.3137i | − | 1.05095i | ||||||
\(779\) | 0.384776 | − | 0.928932i | 0.0137860 | − | 0.0332824i | ||||
\(780\) | −3.17157 | + | 3.17157i | −0.113561 | + | 0.113561i | ||||
\(781\) | 14.1421 | 0.506045 | ||||||||
\(782\) | 16.8995 | + | 44.4558i | 0.604325 | + | 1.58974i | ||||
\(783\) | −1.65685 | −0.0592111 | ||||||||
\(784\) | 0.363961 | − | 0.363961i | 0.0129986 | − | 0.0129986i | ||||
\(785\) | 2.82843 | − | 6.82843i | 0.100951 | − | 0.243717i | ||||
\(786\) | − | 39.7990i | − | 1.41958i | ||||||
\(787\) | −19.0000 | − | 7.87006i | −0.677277 | − | 0.280537i | 0.0174112 | − | 0.999848i | \(-0.494458\pi\) |
−0.694688 | + | 0.719311i | \(0.744458\pi\) | |||||||
\(788\) | 6.80761 | + | 16.4350i | 0.242511 | + | 0.585474i | ||||
\(789\) | −10.4853 | + | 4.34315i | −0.373286 | + | 0.154620i | ||||
\(790\) | 6.24264 | + | 6.24264i | 0.222103 | + | 0.222103i | ||||
\(791\) | −24.3848 | − | 24.3848i | −0.867023 | − | 0.867023i | ||||
\(792\) | 19.4853 | − | 8.07107i | 0.692379 | − | 0.286793i | ||||
\(793\) | −2.07107 | − | 5.00000i | −0.0735458 | − | 0.177555i | ||||
\(794\) | −39.6777 | − | 16.4350i | −1.40811 | − | 0.583257i | ||||
\(795\) | − | 1.17157i | − | 0.0415514i | ||||||
\(796\) | 16.8995 | − | 40.7990i | 0.598987 | − | 1.44608i | ||||
\(797\) | −17.8284 | + | 17.8284i | −0.631515 | + | 0.631515i | −0.948448 | − | 0.316933i | \(-0.897347\pi\) |
0.316933 | + | 0.948448i | \(0.397347\pi\) | |||||||
\(798\) | −5.65685 | −0.200250 | ||||||||
\(799\) | −15.5147 | + | 14.6274i | −0.548871 | + | 0.517481i | ||||
\(800\) | 7.00000 | 0.247487 | ||||||||
\(801\) | 8.51472 | − | 8.51472i | 0.300853 | − | 0.300853i | ||||
\(802\) | 0.535534 | − | 1.29289i | 0.0189104 | − | 0.0456536i | ||||
\(803\) | 33.7990i | 1.19274i | ||||||||
\(804\) | −4.48528 | − | 1.85786i | −0.158184 | − | 0.0655218i | ||||
\(805\) | −3.65685 | − | 8.82843i | −0.128887 | − | 0.311161i | ||||
\(806\) | 24.7279 | − | 10.2426i | 0.871004 | − | 0.360782i | ||||
\(807\) | −20.2426 | − | 20.2426i | −0.712575 | − | 0.712575i | ||||
\(808\) | −33.0416 | − | 33.0416i | −1.16240 | − | 1.16240i | ||||
\(809\) | −32.6066 | + | 13.5061i | −1.14639 | + | 0.474849i | −0.873321 | − | 0.487146i | \(-0.838038\pi\) |
−0.273067 | + | 0.961995i | \(0.588038\pi\) | |||||||
\(810\) | −0.121320 | − | 0.292893i | −0.00426276 | − | 0.0102912i | ||||
\(811\) | −50.9411 | − | 21.1005i | −1.78878 | − | 0.740939i | −0.990304 | − | 0.138919i | \(-0.955637\pi\) |
−0.798481 | − | 0.602020i | \(-0.794363\pi\) | |||||||
\(812\) | − | 3.17157i | − | 0.111300i | ||||||
\(813\) | 9.17157 | − | 22.1421i | 0.321661 | − | 0.776559i | ||||
\(814\) | 41.2132 | − | 41.2132i | 1.44452 | − | 1.44452i | ||||
\(815\) | 6.48528 | 0.227169 | ||||||||
\(816\) | −12.5147 | + | 4.75736i | −0.438103 | + | 0.166541i | ||||
\(817\) | −0.686292 | −0.0240103 | ||||||||
\(818\) | 5.65685 | − | 5.65685i | 0.197787 | − | 0.197787i | ||||
\(819\) | 2.58579 | − | 6.24264i | 0.0903547 | − | 0.218136i | ||||
\(820\) | 3.55635i | 0.124193i | ||||||||
\(821\) | 35.5061 | + | 14.7071i | 1.23917 | + | 0.513282i | 0.903456 | − | 0.428682i | \(-0.141022\pi\) |
0.335716 | + | 0.941963i | \(0.391022\pi\) | |||||||
\(822\) | −16.7279 | − | 40.3848i | −0.583453 | − | 1.40858i | ||||
\(823\) | 9.00000 | − | 3.72792i | 0.313720 | − | 0.129947i | −0.220267 | − | 0.975440i | \(-0.570693\pi\) |
0.533987 | + | 0.845492i | \(0.320693\pi\) | |||||||
\(824\) | 38.9706 | + | 38.9706i | 1.35760 | + | 1.35760i | ||||
\(825\) | 8.82843 | + | 8.82843i | 0.307366 | + | 0.307366i | ||||
\(826\) | 34.9706 | − | 14.4853i | 1.21678 | − | 0.504007i | ||||
\(827\) | −17.9289 | − | 43.2843i | −0.623450 | − | 1.50514i | −0.847627 | − | 0.530593i | \(-0.821969\pi\) |
0.224177 | − | 0.974549i | \(-0.428031\pi\) | |||||||
\(828\) | −30.8995 | − | 12.7990i | −1.07383 | − | 0.444796i | ||||
\(829\) | 53.9411i | 1.87345i | 0.350062 | + | 0.936726i | \(0.386160\pi\) | ||||
−0.350062 | + | 0.936726i | \(0.613840\pi\) | |||||||
\(830\) | 8.24264 | − | 19.8995i | 0.286106 | − | 0.690722i | ||||
\(831\) | −15.2721 | + | 15.2721i | −0.529783 | + | 0.529783i | ||||
\(832\) | 13.8995 | 0.481878 | ||||||||
\(833\) | −0.707107 | − | 0.0208153i | −0.0244998 | − | 0.000721207i | ||||
\(834\) | −55.7990 | −1.93216 | ||||||||
\(835\) | −1.07107 | + | 1.07107i | −0.0370658 | + | 0.0370658i | ||||
\(836\) | −3.17157 | + | 7.65685i | −0.109691 | + | 0.264818i | ||||
\(837\) | 40.9706i | 1.41615i | ||||||||
\(838\) | 29.7279 | + | 12.3137i | 1.02693 | + | 0.425370i | ||||
\(839\) | −6.41421 | − | 15.4853i | −0.221443 | − | 0.534611i | 0.773643 | − | 0.633622i | \(-0.218432\pi\) |
−0.995086 | + | 0.0990102i | \(0.968432\pi\) | |||||||
\(840\) | 8.82843 | − | 3.65685i | 0.304610 | − | 0.126173i | ||||
\(841\) | −20.4350 | − | 20.4350i | −0.704656 | − | 0.704656i | ||||
\(842\) | −24.8995 | − | 24.8995i | −0.858093 | − | 0.858093i | ||||
\(843\) | −1.89949 | + | 0.786797i | −0.0654221 | + | 0.0270987i | ||||
\(844\) | 31.2843 | + | 75.5269i | 1.07685 | + | 2.59974i | ||||
\(845\) | −7.77817 | − | 3.22183i | −0.267577 | − | 0.110834i | ||||
\(846\) | − | 22.8284i | − | 0.784857i | ||||||
\(847\) | −4.17157 | + | 10.0711i | −0.143337 | + | 0.346046i | ||||
\(848\) | 3.00000 | − | 3.00000i | 0.103020 | − | 0.103020i | ||||
\(849\) | −20.2010 | −0.693297 | ||||||||
\(850\) | 30.1421 | + | 31.9706i | 1.03387 | + | 1.09658i | ||||
\(851\) | −44.1421 | −1.51317 | ||||||||
\(852\) | 15.8579 | − | 15.8579i | 0.543281 | − | 0.543281i | ||||
\(853\) | −7.33452 | + | 17.7071i | −0.251129 | + | 0.606280i | −0.998296 | − | 0.0583572i | \(-0.981414\pi\) |
0.747166 | + | 0.664637i | \(0.231414\pi\) | |||||||
\(854\) | 24.1421i | 0.826127i | ||||||||
\(855\) | −1.07107 | − | 0.443651i | −0.0366297 | − | 0.0151725i | ||||
\(856\) | 0.757359 | + | 1.82843i | 0.0258860 | + | 0.0624944i | ||||
\(857\) | −8.53553 | + | 3.53553i | −0.291568 | + | 0.120772i | −0.523673 | − | 0.851919i | \(-0.675439\pi\) |
0.232105 | + | 0.972691i | \(0.425439\pi\) | |||||||
\(858\) | 6.82843 | + | 6.82843i | 0.233119 | + | 0.233119i | ||||
\(859\) | 24.7279 | + | 24.7279i | 0.843706 | + | 0.843706i | 0.989339 | − | 0.145633i | \(-0.0465218\pi\) |
−0.145633 | + | 0.989339i | \(0.546522\pi\) | |||||||
\(860\) | 2.24264 | − | 0.928932i | 0.0764734 | − | 0.0316763i | ||||
\(861\) | 1.31371 | + | 3.17157i | 0.0447711 | + | 0.108087i | ||||
\(862\) | −16.3137 | − | 6.75736i | −0.555647 | − | 0.230157i | ||||
\(863\) | − | 10.6274i | − | 0.361761i | −0.983505 | − | 0.180881i | \(-0.942105\pi\) | ||
0.983505 | − | 0.180881i | \(-0.0578948\pi\) | |||||||
\(864\) | −3.17157 | + | 7.65685i | −0.107899 | + | 0.260491i | ||||
\(865\) | −1.58579 | + | 1.58579i | −0.0539184 | + | 0.0539184i | ||||
\(866\) | −50.2843 | −1.70873 | ||||||||
\(867\) | 16.5563 | + | 8.02944i | 0.562283 | + | 0.272694i | ||||
\(868\) | −78.4264 | −2.66197 | ||||||||
\(869\) | 8.82843 | − | 8.82843i | 0.299484 | − | 0.299484i | ||||
\(870\) | −0.242641 | + | 0.585786i | −0.00822629 | + | 0.0198600i | ||||
\(871\) | 1.65685i | 0.0561404i | ||||||||
\(872\) | 63.4056 | + | 26.2635i | 2.14718 | + | 0.889393i | ||||
\(873\) | 7.22183 | + | 17.4350i | 0.244422 | + | 0.590086i | ||||
\(874\) | 8.82843 | − | 3.65685i | 0.298626 | − | 0.123695i | ||||
\(875\) | −13.3137 | − | 13.3137i | −0.450085 | − | 0.450085i | ||||
\(876\) | 37.8995 | + | 37.8995i | 1.28051 | + | 1.28051i | ||||
\(877\) | 46.4056 | − | 19.2218i | 1.56701 | − | 0.649075i | 0.580717 | − | 0.814105i | \(-0.302772\pi\) |
0.986288 | + | 0.165031i | \(0.0527723\pi\) | |||||||
\(878\) | −9.82843 | − | 23.7279i | −0.331693 | − | 0.800779i | ||||
\(879\) | 12.3431 | + | 5.11270i | 0.416324 | + | 0.172447i | ||||
\(880\) | − | 6.00000i | − | 0.202260i | ||||||
\(881\) | 12.8787 | − | 31.0919i | 0.433894 | − | 1.04751i | −0.544127 | − | 0.839003i | \(-0.683139\pi\) |
0.978020 | − | 0.208509i | \(-0.0668611\pi\) | |||||||
\(882\) | 0.535534 | − | 0.535534i | 0.0180324 | − | 0.0180324i | ||||
\(883\) | 8.00000 | 0.269221 | 0.134611 | − | 0.990899i | \(-0.457022\pi\) | ||||
0.134611 | + | 0.990899i | \(0.457022\pi\) | |||||||
\(884\) | 15.3137 | + | 16.2426i | 0.515056 | + | 0.546299i | ||||
\(885\) | −4.97056 | −0.167084 | ||||||||
\(886\) | 40.6274 | − | 40.6274i | 1.36490 | − | 1.36490i | ||||
\(887\) | 16.8579 | − | 40.6985i | 0.566032 | − | 1.36652i | −0.338843 | − | 0.940843i | \(-0.610035\pi\) |
0.904875 | − | 0.425678i | \(-0.139965\pi\) | |||||||
\(888\) | − | 44.1421i | − | 1.48131i | ||||||
\(889\) | 12.8284 | + | 5.31371i | 0.430252 | + | 0.178216i | ||||
\(890\) | −4.65685 | − | 11.2426i | −0.156098 | − | 0.376854i | ||||
\(891\) | −0.414214 | + | 0.171573i | −0.0138767 | + | 0.00574791i | ||||
\(892\) | −13.0711 | − | 13.0711i | −0.437652 | − | 0.437652i | ||||
\(893\) | 3.02944 | + | 3.02944i | 0.101376 | + | 0.101376i | ||||
\(894\) | 40.9706 | − | 16.9706i | 1.37026 | − | 0.567581i | ||||
\(895\) | 1.75736 | + | 4.24264i | 0.0587420 | + | 0.141816i | ||||
\(896\) | −49.6274 | − | 20.5563i | −1.65794 | − | 0.686739i | ||||
\(897\) | − | 7.31371i | − | 0.244198i | ||||||
\(898\) | −11.1924 | + | 27.0208i | −0.373495 | + | 0.901696i | ||||
\(899\) | 1.75736 | − | 1.75736i | 0.0586112 | − | 0.0586112i | ||||
\(900\) | −30.8995 | −1.02998 | ||||||||
\(901\) | −5.82843 | − | 0.171573i | −0.194173 | − | 0.00571592i | ||||
\(902\) | 7.65685 | 0.254945 | ||||||||
\(903\) | 1.65685 | − | 1.65685i | 0.0551367 | − | 0.0551367i | ||||
\(904\) | −22.2929 | + | 53.8198i | −0.741451 | + | 1.79002i | ||||
\(905\) | 8.92893i | 0.296808i | ||||||||
\(906\) | 17.3137 | + | 7.17157i | 0.575209 | + | 0.238260i | ||||
\(907\) | 5.14214 | + | 12.4142i | 0.170742 | + | 0.412207i | 0.985968 | − | 0.166936i | \(-0.0533873\pi\) |
−0.815226 | + | 0.579143i | \(0.803387\pi\) | |||||||
\(908\) | 61.5269 | − | 25.4853i | 2.04184 | − | 0.845759i | ||||
\(909\) | −13.6863 | − | 13.6863i | −0.453946 | − | 0.453946i | ||||
\(910\) | −4.82843 | − | 4.82843i | −0.160061 | − | 0.160061i | ||||
\(911\) | 5.24264 | − | 2.17157i | 0.173696 | − | 0.0719474i | −0.294141 | − | 0.955762i | \(-0.595033\pi\) |
0.467837 | + | 0.883815i | \(0.345033\pi\) | |||||||
\(912\) | 1.02944 | + | 2.48528i | 0.0340881 | + | 0.0822959i | ||||
\(913\) | −28.1421 | − | 11.6569i | −0.931369 | − | 0.385786i | ||||
\(914\) | 31.7990i | 1.05182i | ||||||||
\(915\) | 1.21320 | − | 2.92893i | 0.0401073 | − | 0.0968275i | ||||
\(916\) | −46.4853 | + | 46.4853i | −1.53592 | + | 1.53592i | ||||
\(917\) | 39.7990 | 1.31428 | ||||||||
\(918\) | −48.6274 | + | 18.4853i | −1.60494 | + | 0.610105i | ||||
\(919\) | 19.3137 | 0.637100 | 0.318550 | − | 0.947906i | \(-0.396804\pi\) | ||||
0.318550 | + | 0.947906i | \(0.396804\pi\) | |||||||
\(920\) | −11.4142 | + | 11.4142i | −0.376315 | + | 0.376315i | ||||
\(921\) | −10.8284 | + | 26.1421i | −0.356809 | + | 0.861413i | ||||
\(922\) | 58.0416i | 1.91150i | ||||||||
\(923\) | −7.07107 | − | 2.92893i | −0.232747 | − | 0.0964070i | ||||
\(924\) | −10.8284 | − | 26.1421i | −0.356229 | − | 0.860013i | ||||
\(925\) | −37.6777 | + | 15.6066i | −1.23883 | + | 0.513142i | ||||
\(926\) | 24.9706 | + | 24.9706i | 0.820584 | + | 0.820584i | ||||
\(927\) | 16.1421 | + | 16.1421i | 0.530177 | + | 0.530177i | ||||
\(928\) | 0.464466 | − | 0.192388i | 0.0152468 | − | 0.00631545i | ||||
\(929\) | 6.63604 | + | 16.0208i | 0.217721 | + | 0.525626i | 0.994571 | − | 0.104060i | \(-0.0331835\pi\) |
−0.776850 | + | 0.629686i | \(0.783183\pi\) | |||||||
\(930\) | 14.4853 | + | 6.00000i | 0.474991 | + | 0.196748i | ||||
\(931\) | 0.142136i | 0.00465831i | ||||||||
\(932\) | 12.8787 | − | 31.0919i | 0.421855 | − | 1.01845i | ||||
\(933\) | 19.6569 | − | 19.6569i | 0.643537 | − | 0.643537i | ||||
\(934\) | −78.7696 | −2.57742 | ||||||||
\(935\) | −6.00000 | + | 5.65685i | −0.196221 | + | 0.184999i | ||||
\(936\) | −11.4142 | −0.373085 | ||||||||
\(937\) | 19.4853 | − | 19.4853i | 0.636556 | − | 0.636556i | −0.313148 | − | 0.949704i | \(-0.601384\pi\) |
0.949704 | + | 0.313148i | \(0.101384\pi\) | |||||||
\(938\) | 2.82843 | − | 6.82843i | 0.0923514 | − | 0.222956i | ||||
\(939\) | 10.6863i | 0.348734i | ||||||||
\(940\) | −14.0000 | − | 5.79899i | −0.456630 | − | 0.189142i | ||||
\(941\) | −15.2635 | − | 36.8492i | −0.497574 | − | 1.20125i | −0.950786 | − | 0.309848i | \(-0.899722\pi\) |
0.453212 | − | 0.891403i | \(-0.350278\pi\) | |||||||
\(942\) | −23.3137 | + | 9.65685i | −0.759602 | + | 0.314637i | ||||
\(943\) | −4.10051 | − | 4.10051i | −0.133531 | − | 0.133531i | ||||
\(944\) | −12.7279 | − | 12.7279i | −0.414259 | − | 0.414259i | ||||
\(945\) | 9.65685 | − | 4.00000i | 0.314137 | − | 0.130120i | ||||
\(946\) | −2.00000 | − | 4.82843i | −0.0650256 | − | 0.156986i | ||||
\(947\) | 28.3137 | + | 11.7279i | 0.920072 | + | 0.381106i | 0.791904 | − | 0.610646i | \(-0.209090\pi\) |
0.128168 | + | 0.991752i | \(0.459090\pi\) | |||||||
\(948\) | − | 19.7990i | − | 0.643041i | ||||||
\(949\) | 7.00000 | − | 16.8995i | 0.227230 | − | 0.548581i | ||||
\(950\) | 6.24264 | − | 6.24264i | 0.202538 | − | 0.202538i | ||||
\(951\) | 20.8284 | 0.675408 | ||||||||
\(952\) | −16.8995 | − | 44.4558i | −0.547716 | − | 1.44082i | ||||
\(953\) | 49.6985 | 1.60989 | 0.804946 | − | 0.593348i | \(-0.202194\pi\) | ||||
0.804946 | + | 0.593348i | \(0.202194\pi\) | |||||||
\(954\) | 4.41421 | − | 4.41421i | 0.142915 | − | 0.142915i | ||||
\(955\) | −5.85786 | + | 14.1421i | −0.189556 | + | 0.457629i | ||||
\(956\) | − | 56.7696i | − | 1.83606i | ||||||
\(957\) | 0.828427 | + | 0.343146i | 0.0267792 | + | 0.0110923i | ||||
\(958\) | 4.75736 | + | 11.4853i | 0.153703 | + | 0.371073i | ||||
\(959\) | 40.3848 | − | 16.7279i | 1.30409 | − | 0.540173i | ||||
\(960\) | 5.75736 | + | 5.75736i | 0.185818 | + | 0.185818i | ||||
\(961\) | −21.5355 | − | 21.5355i | −0.694695 | − | 0.694695i | ||||
\(962\) | −29.1421 | + | 12.0711i | −0.939580 | + | 0.389187i | ||||
\(963\) | 0.313708 | + | 0.757359i | 0.0101091 | + | 0.0244056i | ||||
\(964\) | 12.6066 | + | 5.22183i | 0.406031 | + | 0.168184i | ||||
\(965\) | − | 1.75736i | − | 0.0565714i | ||||||
\(966\) | −12.4853 | + | 30.1421i | −0.401707 | + | 0.969807i | ||||
\(967\) | −30.8701 | + | 30.8701i | −0.992714 | + | 0.992714i | −0.999974 | − | 0.00725952i | \(-0.997689\pi\) |
0.00725952 | + | 0.999974i | \(0.497689\pi\) | |||||||
\(968\) | 18.4142 | 0.591855 | ||||||||
\(969\) | 1.51472 | − | 3.37258i | 0.0486598 | − | 0.108343i | ||||
\(970\) | 19.0711 | 0.612335 | ||||||||
\(971\) | −36.5858 | + | 36.5858i | −1.17409 | + | 1.17409i | −0.192869 | + | 0.981224i | \(0.561779\pi\) |
−0.981224 | + | 0.192869i | \(0.938221\pi\) | |||||||
\(972\) | 22.6985 | − | 54.7990i | 0.728054 | − | 1.75768i | ||||
\(973\) | − | 55.7990i | − | 1.78883i | ||||||
\(974\) | −58.6985 | − | 24.3137i | −1.88082 | − | 0.779061i | ||||
\(975\) | −2.58579 | − | 6.24264i | −0.0828114 | − | 0.199925i | ||||
\(976\) | 10.6066 | − | 4.39340i | 0.339509 | − | 0.140629i | ||||
\(977\) | −27.1421 | − | 27.1421i | −0.868354 | − | 0.868354i | 0.123936 | − | 0.992290i | \(-0.460448\pi\) |
−0.992290 | + | 0.123936i | \(0.960448\pi\) | |||||||
\(978\) | −15.6569 | − | 15.6569i | −0.500651 | − | 0.500651i | ||||
\(979\) | −15.8995 | + | 6.58579i | −0.508150 | + | 0.210483i | ||||
\(980\) | −0.192388 | − | 0.464466i | −0.00614561 | − | 0.0148368i | ||||
\(981\) | 26.2635 | + | 10.8787i | 0.838528 | + | 0.347330i | ||||
\(982\) | 89.5980i | 2.85919i | ||||||||
\(983\) | 3.72792 | − | 9.00000i | 0.118902 | − | 0.287055i | −0.853212 | − | 0.521565i | \(-0.825348\pi\) |
0.972114 | + | 0.234510i | \(0.0753484\pi\) | |||||||
\(984\) | 4.10051 | − | 4.10051i | 0.130719 | − | 0.130719i | ||||
\(985\) | 3.55635 | 0.113315 | ||||||||
\(986\) | 2.87868 | + | 1.29289i | 0.0916758 | + | 0.0411741i | ||||
\(987\) | −14.6274 | −0.465596 | ||||||||
\(988\) | 3.17157 | − | 3.17157i | 0.100901 | − | 0.100901i | ||||
\(989\) | −1.51472 | + | 3.65685i | −0.0481653 | + | 0.116281i | ||||
\(990\) | − | 8.82843i | − | 0.280586i | ||||||
\(991\) | 37.7279 | + | 15.6274i | 1.19847 | + | 0.496421i | 0.890503 | − | 0.454977i | \(-0.150352\pi\) |
0.307964 | + | 0.951398i | \(0.400352\pi\) | |||||||
\(992\) | −4.75736 | − | 11.4853i | −0.151046 | − | 0.364658i | ||||
\(993\) | −21.7990 | + | 9.02944i | −0.691770 | + | 0.286541i | ||||
\(994\) | 24.1421 | + | 24.1421i | 0.765742 | + | 0.765742i | ||||
\(995\) | −6.24264 | − | 6.24264i | −0.197905 | − | 0.197905i | ||||
\(996\) | −44.6274 | + | 18.4853i | −1.41407 | + | 0.585729i | ||||
\(997\) | −2.87868 | − | 6.94975i | −0.0911687 | − | 0.220101i | 0.871717 | − | 0.490009i | \(-0.163007\pi\) |
−0.962886 | + | 0.269908i | \(0.913007\pi\) | |||||||
\(998\) | 47.8701 | + | 19.8284i | 1.51530 | + | 0.627658i | ||||
\(999\) | − | 48.2843i | − | 1.52765i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))