Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [65,2,Mod(8,65)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(65, base_ring=CyclotomicField(4))
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("65.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 65 = 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 65.k (of order \(4\), 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: | \(2\) |
Coefficient field: | \(\Q(i)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 8.1 | ||
Root | \(1.00000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 65.8 |
Dual form | 65.2.k.a.57.1 |
$q$-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 \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(41\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | 0.353553 | − | 0.935414i | \(-0.384973\pi\) | ||||
0.353553 | + | 0.935414i | \(0.384973\pi\) | |||||||
\(3\) | 1.00000 | + | 1.00000i | 0.577350 | + | 0.577350i | 0.934172 | − | 0.356822i | \(-0.116140\pi\) |
−0.356822 | + | 0.934172i | \(0.616140\pi\) | |||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −1.00000 | − | 2.00000i | −0.447214 | − | 0.894427i | ||||
\(6\) | 1.00000 | + | 1.00000i | 0.408248 | + | 0.408248i | ||||
\(7\) | 2.00000i | 0.755929i | 0.925820 | + | 0.377964i | \(0.123376\pi\) | ||||
−0.925820 | + | 0.377964i | \(0.876624\pi\) | |||||||
\(8\) | −3.00000 | −1.06066 | ||||||||
\(9\) | − | 1.00000i | − | 0.333333i | ||||||
\(10\) | −1.00000 | − | 2.00000i | −0.316228 | − | 0.632456i | ||||
\(11\) | −1.00000 | + | 1.00000i | −0.301511 | + | 0.301511i | −0.841605 | − | 0.540094i | \(-0.818389\pi\) |
0.540094 | + | 0.841605i | \(0.318389\pi\) | |||||||
\(12\) | −1.00000 | − | 1.00000i | −0.288675 | − | 0.288675i | ||||
\(13\) | 3.00000 | − | 2.00000i | 0.832050 | − | 0.554700i | ||||
\(14\) | 2.00000i | 0.534522i | ||||||||
\(15\) | 1.00000 | − | 3.00000i | 0.258199 | − | 0.774597i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 1.00000 | + | 1.00000i | 0.242536 | + | 0.242536i | 0.817898 | − | 0.575363i | \(-0.195139\pi\) |
−0.575363 | + | 0.817898i | \(0.695139\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | −5.00000 | + | 5.00000i | −1.14708 | + | 1.14708i | −0.159954 | + | 0.987124i | \(0.551135\pi\) |
−0.987124 | + | 0.159954i | \(0.948865\pi\) | |||||||
\(20\) | 1.00000 | + | 2.00000i | 0.223607 | + | 0.447214i | ||||
\(21\) | −2.00000 | + | 2.00000i | −0.436436 | + | 0.436436i | ||||
\(22\) | −1.00000 | + | 1.00000i | −0.213201 | + | 0.213201i | ||||
\(23\) | 3.00000 | − | 3.00000i | 0.625543 | − | 0.625543i | −0.321400 | − | 0.946943i | \(-0.604153\pi\) |
0.946943 | + | 0.321400i | \(0.104153\pi\) | |||||||
\(24\) | −3.00000 | − | 3.00000i | −0.612372 | − | 0.612372i | ||||
\(25\) | −3.00000 | + | 4.00000i | −0.600000 | + | 0.800000i | ||||
\(26\) | 3.00000 | − | 2.00000i | 0.588348 | − | 0.392232i | ||||
\(27\) | 4.00000 | − | 4.00000i | 0.769800 | − | 0.769800i | ||||
\(28\) | − | 2.00000i | − | 0.377964i | ||||||
\(29\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(30\) | 1.00000 | − | 3.00000i | 0.182574 | − | 0.547723i | ||||
\(31\) | 5.00000 | + | 5.00000i | 0.898027 | + | 0.898027i | 0.995261 | − | 0.0972349i | \(-0.0309998\pi\) |
−0.0972349 | + | 0.995261i | \(0.531000\pi\) | |||||||
\(32\) | 5.00000 | 0.883883 | ||||||||
\(33\) | −2.00000 | −0.348155 | ||||||||
\(34\) | 1.00000 | + | 1.00000i | 0.171499 | + | 0.171499i | ||||
\(35\) | 4.00000 | − | 2.00000i | 0.676123 | − | 0.338062i | ||||
\(36\) | 1.00000i | 0.166667i | ||||||||
\(37\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(38\) | −5.00000 | + | 5.00000i | −0.811107 | + | 0.811107i | ||||
\(39\) | 5.00000 | + | 1.00000i | 0.800641 | + | 0.160128i | ||||
\(40\) | 3.00000 | + | 6.00000i | 0.474342 | + | 0.948683i | ||||
\(41\) | −7.00000 | − | 7.00000i | −1.09322 | − | 1.09322i | −0.995183 | − | 0.0980332i | \(-0.968745\pi\) |
−0.0980332 | − | 0.995183i | \(-0.531255\pi\) | |||||||
\(42\) | −2.00000 | + | 2.00000i | −0.308607 | + | 0.308607i | ||||
\(43\) | −1.00000 | + | 1.00000i | −0.152499 | + | 0.152499i | −0.779233 | − | 0.626734i | \(-0.784391\pi\) |
0.626734 | + | 0.779233i | \(0.284391\pi\) | |||||||
\(44\) | 1.00000 | − | 1.00000i | 0.150756 | − | 0.150756i | ||||
\(45\) | −2.00000 | + | 1.00000i | −0.298142 | + | 0.149071i | ||||
\(46\) | 3.00000 | − | 3.00000i | 0.442326 | − | 0.442326i | ||||
\(47\) | − | 6.00000i | − | 0.875190i | −0.899172 | − | 0.437595i | \(-0.855830\pi\) | ||
0.899172 | − | 0.437595i | \(-0.144170\pi\) | |||||||
\(48\) | −1.00000 | − | 1.00000i | −0.144338 | − | 0.144338i | ||||
\(49\) | 3.00000 | 0.428571 | ||||||||
\(50\) | −3.00000 | + | 4.00000i | −0.424264 | + | 0.565685i | ||||
\(51\) | 2.00000i | 0.280056i | ||||||||
\(52\) | −3.00000 | + | 2.00000i | −0.416025 | + | 0.277350i | ||||
\(53\) | 5.00000 | + | 5.00000i | 0.686803 | + | 0.686803i | 0.961524 | − | 0.274721i | \(-0.0885855\pi\) |
−0.274721 | + | 0.961524i | \(0.588586\pi\) | |||||||
\(54\) | 4.00000 | − | 4.00000i | 0.544331 | − | 0.544331i | ||||
\(55\) | 3.00000 | + | 1.00000i | 0.404520 | + | 0.134840i | ||||
\(56\) | − | 6.00000i | − | 0.801784i | ||||||
\(57\) | −10.0000 | −1.32453 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −7.00000 | − | 7.00000i | −0.911322 | − | 0.911322i | 0.0850540 | − | 0.996376i | \(-0.472894\pi\) |
−0.996376 | + | 0.0850540i | \(0.972894\pi\) | |||||||
\(60\) | −1.00000 | + | 3.00000i | −0.129099 | + | 0.387298i | ||||
\(61\) | −14.0000 | −1.79252 | −0.896258 | − | 0.443533i | \(-0.853725\pi\) | ||||
−0.896258 | + | 0.443533i | \(0.853725\pi\) | |||||||
\(62\) | 5.00000 | + | 5.00000i | 0.635001 | + | 0.635001i | ||||
\(63\) | 2.00000 | 0.251976 | ||||||||
\(64\) | 7.00000 | 0.875000 | ||||||||
\(65\) | −7.00000 | − | 4.00000i | −0.868243 | − | 0.496139i | ||||
\(66\) | −2.00000 | −0.246183 | ||||||||
\(67\) | −4.00000 | −0.488678 | −0.244339 | − | 0.969690i | \(-0.578571\pi\) | ||||
−0.244339 | + | 0.969690i | \(0.578571\pi\) | |||||||
\(68\) | −1.00000 | − | 1.00000i | −0.121268 | − | 0.121268i | ||||
\(69\) | 6.00000 | 0.722315 | ||||||||
\(70\) | 4.00000 | − | 2.00000i | 0.478091 | − | 0.239046i | ||||
\(71\) | 1.00000 | + | 1.00000i | 0.118678 | + | 0.118678i | 0.763952 | − | 0.645273i | \(-0.223257\pi\) |
−0.645273 | + | 0.763952i | \(0.723257\pi\) | |||||||
\(72\) | 3.00000i | 0.353553i | ||||||||
\(73\) | −10.0000 | −1.17041 | −0.585206 | − | 0.810885i | \(-0.698986\pi\) | ||||
−0.585206 | + | 0.810885i | \(0.698986\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.00000 | + | 1.00000i | −0.808290 | + | 0.115470i | ||||
\(76\) | 5.00000 | − | 5.00000i | 0.573539 | − | 0.573539i | ||||
\(77\) | −2.00000 | − | 2.00000i | −0.227921 | − | 0.227921i | ||||
\(78\) | 5.00000 | + | 1.00000i | 0.566139 | + | 0.113228i | ||||
\(79\) | 2.00000i | 0.225018i | 0.993651 | + | 0.112509i | \(0.0358886\pi\) | ||||
−0.993651 | + | 0.112509i | \(0.964111\pi\) | |||||||
\(80\) | 1.00000 | + | 2.00000i | 0.111803 | + | 0.223607i | ||||
\(81\) | 5.00000 | 0.555556 | ||||||||
\(82\) | −7.00000 | − | 7.00000i | −0.773021 | − | 0.773021i | ||||
\(83\) | 6.00000i | 0.658586i | 0.944228 | + | 0.329293i | \(0.106810\pi\) | ||||
−0.944228 | + | 0.329293i | \(0.893190\pi\) | |||||||
\(84\) | 2.00000 | − | 2.00000i | 0.218218 | − | 0.218218i | ||||
\(85\) | 1.00000 | − | 3.00000i | 0.108465 | − | 0.325396i | ||||
\(86\) | −1.00000 | + | 1.00000i | −0.107833 | + | 0.107833i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.00000 | − | 3.00000i | 0.319801 | − | 0.319801i | ||||
\(89\) | 5.00000 | + | 5.00000i | 0.529999 | + | 0.529999i | 0.920572 | − | 0.390573i | \(-0.127723\pi\) |
−0.390573 | + | 0.920572i | \(0.627723\pi\) | |||||||
\(90\) | −2.00000 | + | 1.00000i | −0.210819 | + | 0.105409i | ||||
\(91\) | 4.00000 | + | 6.00000i | 0.419314 | + | 0.628971i | ||||
\(92\) | −3.00000 | + | 3.00000i | −0.312772 | + | 0.312772i | ||||
\(93\) | 10.0000i | 1.03695i | ||||||||
\(94\) | − | 6.00000i | − | 0.618853i | ||||||
\(95\) | 15.0000 | + | 5.00000i | 1.53897 | + | 0.512989i | ||||
\(96\) | 5.00000 | + | 5.00000i | 0.510310 | + | 0.510310i | ||||
\(97\) | 2.00000 | 0.203069 | 0.101535 | − | 0.994832i | \(-0.467625\pi\) | ||||
0.101535 | + | 0.994832i | \(0.467625\pi\) | |||||||
\(98\) | 3.00000 | 0.303046 | ||||||||
\(99\) | 1.00000 | + | 1.00000i | 0.100504 | + | 0.100504i | ||||
\(100\) | 3.00000 | − | 4.00000i | 0.300000 | − | 0.400000i | ||||
\(101\) | − | 12.0000i | − | 1.19404i | −0.802225 | − | 0.597022i | \(-0.796350\pi\) | ||
0.802225 | − | 0.597022i | \(-0.203650\pi\) | |||||||
\(102\) | 2.00000i | 0.198030i | ||||||||
\(103\) | 7.00000 | − | 7.00000i | 0.689730 | − | 0.689730i | −0.272442 | − | 0.962172i | \(-0.587831\pi\) |
0.962172 | + | 0.272442i | \(0.0878312\pi\) | |||||||
\(104\) | −9.00000 | + | 6.00000i | −0.882523 | + | 0.588348i | ||||
\(105\) | 6.00000 | + | 2.00000i | 0.585540 | + | 0.195180i | ||||
\(106\) | 5.00000 | + | 5.00000i | 0.485643 | + | 0.485643i | ||||
\(107\) | 7.00000 | − | 7.00000i | 0.676716 | − | 0.676716i | −0.282540 | − | 0.959256i | \(-0.591177\pi\) |
0.959256 | + | 0.282540i | \(0.0911770\pi\) | |||||||
\(108\) | −4.00000 | + | 4.00000i | −0.384900 | + | 0.384900i | ||||
\(109\) | 9.00000 | − | 9.00000i | 0.862044 | − | 0.862044i | −0.129532 | − | 0.991575i | \(-0.541347\pi\) |
0.991575 | + | 0.129532i | \(0.0413474\pi\) | |||||||
\(110\) | 3.00000 | + | 1.00000i | 0.286039 | + | 0.0953463i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | − | 2.00000i | − | 0.188982i | ||||||
\(113\) | 5.00000 | + | 5.00000i | 0.470360 | + | 0.470360i | 0.902031 | − | 0.431671i | \(-0.142076\pi\) |
−0.431671 | + | 0.902031i | \(0.642076\pi\) | |||||||
\(114\) | −10.0000 | −0.936586 | ||||||||
\(115\) | −9.00000 | − | 3.00000i | −0.839254 | − | 0.279751i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.00000 | − | 3.00000i | −0.184900 | − | 0.277350i | ||||
\(118\) | −7.00000 | − | 7.00000i | −0.644402 | − | 0.644402i | ||||
\(119\) | −2.00000 | + | 2.00000i | −0.183340 | + | 0.183340i | ||||
\(120\) | −3.00000 | + | 9.00000i | −0.273861 | + | 0.821584i | ||||
\(121\) | 9.00000i | 0.818182i | ||||||||
\(122\) | −14.0000 | −1.26750 | ||||||||
\(123\) | − | 14.0000i | − | 1.26234i | ||||||
\(124\) | −5.00000 | − | 5.00000i | −0.449013 | − | 0.449013i | ||||
\(125\) | 11.0000 | + | 2.00000i | 0.983870 | + | 0.178885i | ||||
\(126\) | 2.00000 | 0.178174 | ||||||||
\(127\) | 9.00000 | + | 9.00000i | 0.798621 | + | 0.798621i | 0.982878 | − | 0.184257i | \(-0.0589879\pi\) |
−0.184257 | + | 0.982878i | \(0.558988\pi\) | |||||||
\(128\) | −3.00000 | −0.265165 | ||||||||
\(129\) | −2.00000 | −0.176090 | ||||||||
\(130\) | −7.00000 | − | 4.00000i | −0.613941 | − | 0.350823i | ||||
\(131\) | −20.0000 | −1.74741 | −0.873704 | − | 0.486458i | \(-0.838289\pi\) | ||||
−0.873704 | + | 0.486458i | \(0.838289\pi\) | |||||||
\(132\) | 2.00000 | 0.174078 | ||||||||
\(133\) | −10.0000 | − | 10.0000i | −0.867110 | − | 0.867110i | ||||
\(134\) | −4.00000 | −0.345547 | ||||||||
\(135\) | −12.0000 | − | 4.00000i | −1.03280 | − | 0.344265i | ||||
\(136\) | −3.00000 | − | 3.00000i | −0.257248 | − | 0.257248i | ||||
\(137\) | 16.0000i | 1.36697i | 0.729964 | + | 0.683486i | \(0.239537\pi\) | ||||
−0.729964 | + | 0.683486i | \(0.760463\pi\) | |||||||
\(138\) | 6.00000 | 0.510754 | ||||||||
\(139\) | 14.0000i | 1.18746i | 0.804663 | + | 0.593732i | \(0.202346\pi\) | ||||
−0.804663 | + | 0.593732i | \(0.797654\pi\) | |||||||
\(140\) | −4.00000 | + | 2.00000i | −0.338062 | + | 0.169031i | ||||
\(141\) | 6.00000 | − | 6.00000i | 0.505291 | − | 0.505291i | ||||
\(142\) | 1.00000 | + | 1.00000i | 0.0839181 | + | 0.0839181i | ||||
\(143\) | −1.00000 | + | 5.00000i | −0.0836242 | + | 0.418121i | ||||
\(144\) | 1.00000i | 0.0833333i | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −10.0000 | −0.827606 | ||||||||
\(147\) | 3.00000 | + | 3.00000i | 0.247436 | + | 0.247436i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.00000 | + | 3.00000i | −0.245770 | + | 0.245770i | −0.819232 | − | 0.573462i | \(-0.805600\pi\) |
0.573462 | + | 0.819232i | \(0.305600\pi\) | |||||||
\(150\) | −7.00000 | + | 1.00000i | −0.571548 | + | 0.0816497i | ||||
\(151\) | 7.00000 | − | 7.00000i | 0.569652 | − | 0.569652i | −0.362379 | − | 0.932031i | \(-0.618035\pi\) |
0.932031 | + | 0.362379i | \(0.118035\pi\) | |||||||
\(152\) | 15.0000 | − | 15.0000i | 1.21666 | − | 1.21666i | ||||
\(153\) | 1.00000 | − | 1.00000i | 0.0808452 | − | 0.0808452i | ||||
\(154\) | −2.00000 | − | 2.00000i | −0.161165 | − | 0.161165i | ||||
\(155\) | 5.00000 | − | 15.0000i | 0.401610 | − | 1.20483i | ||||
\(156\) | −5.00000 | − | 1.00000i | −0.400320 | − | 0.0800641i | ||||
\(157\) | 13.0000 | − | 13.0000i | 1.03751 | − | 1.03751i | 0.0382445 | − | 0.999268i | \(-0.487823\pi\) |
0.999268 | − | 0.0382445i | \(-0.0121766\pi\) | |||||||
\(158\) | 2.00000i | 0.159111i | ||||||||
\(159\) | 10.0000i | 0.793052i | ||||||||
\(160\) | −5.00000 | − | 10.0000i | −0.395285 | − | 0.790569i | ||||
\(161\) | 6.00000 | + | 6.00000i | 0.472866 | + | 0.472866i | ||||
\(162\) | 5.00000 | 0.392837 | ||||||||
\(163\) | 4.00000 | 0.313304 | 0.156652 | − | 0.987654i | \(-0.449930\pi\) | ||||
0.156652 | + | 0.987654i | \(0.449930\pi\) | |||||||
\(164\) | 7.00000 | + | 7.00000i | 0.546608 | + | 0.546608i | ||||
\(165\) | 2.00000 | + | 4.00000i | 0.155700 | + | 0.311400i | ||||
\(166\) | 6.00000i | 0.465690i | ||||||||
\(167\) | 18.0000i | 1.39288i | 0.717614 | + | 0.696441i | \(0.245234\pi\) | ||||
−0.717614 | + | 0.696441i | \(0.754766\pi\) | |||||||
\(168\) | 6.00000 | − | 6.00000i | 0.462910 | − | 0.462910i | ||||
\(169\) | 5.00000 | − | 12.0000i | 0.384615 | − | 0.923077i | ||||
\(170\) | 1.00000 | − | 3.00000i | 0.0766965 | − | 0.230089i | ||||
\(171\) | 5.00000 | + | 5.00000i | 0.382360 | + | 0.382360i | ||||
\(172\) | 1.00000 | − | 1.00000i | 0.0762493 | − | 0.0762493i | ||||
\(173\) | −11.0000 | + | 11.0000i | −0.836315 | + | 0.836315i | −0.988372 | − | 0.152057i | \(-0.951410\pi\) |
0.152057 | + | 0.988372i | \(0.451410\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.00000 | − | 6.00000i | −0.604743 | − | 0.453557i | ||||
\(176\) | 1.00000 | − | 1.00000i | 0.0753778 | − | 0.0753778i | ||||
\(177\) | − | 14.0000i | − | 1.05230i | ||||||
\(178\) | 5.00000 | + | 5.00000i | 0.374766 | + | 0.374766i | ||||
\(179\) | −20.0000 | −1.49487 | −0.747435 | − | 0.664335i | \(-0.768715\pi\) | ||||
−0.747435 | + | 0.664335i | \(0.768715\pi\) | |||||||
\(180\) | 2.00000 | − | 1.00000i | 0.149071 | − | 0.0745356i | ||||
\(181\) | 8.00000i | 0.594635i | 0.954779 | + | 0.297318i | \(0.0960920\pi\) | ||||
−0.954779 | + | 0.297318i | \(0.903908\pi\) | |||||||
\(182\) | 4.00000 | + | 6.00000i | 0.296500 | + | 0.444750i | ||||
\(183\) | −14.0000 | − | 14.0000i | −1.03491 | − | 1.03491i | ||||
\(184\) | −9.00000 | + | 9.00000i | −0.663489 | + | 0.663489i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 10.0000i | 0.733236i | ||||||||
\(187\) | −2.00000 | −0.146254 | ||||||||
\(188\) | 6.00000i | 0.437595i | ||||||||
\(189\) | 8.00000 | + | 8.00000i | 0.581914 | + | 0.581914i | ||||
\(190\) | 15.0000 | + | 5.00000i | 1.08821 | + | 0.362738i | ||||
\(191\) | 8.00000 | 0.578860 | 0.289430 | − | 0.957199i | \(-0.406534\pi\) | ||||
0.289430 | + | 0.957199i | \(0.406534\pi\) | |||||||
\(192\) | 7.00000 | + | 7.00000i | 0.505181 | + | 0.505181i | ||||
\(193\) | 18.0000 | 1.29567 | 0.647834 | − | 0.761781i | \(-0.275675\pi\) | ||||
0.647834 | + | 0.761781i | \(0.275675\pi\) | |||||||
\(194\) | 2.00000 | 0.143592 | ||||||||
\(195\) | −3.00000 | − | 11.0000i | −0.214834 | − | 0.787726i | ||||
\(196\) | −3.00000 | −0.214286 | ||||||||
\(197\) | 6.00000 | 0.427482 | 0.213741 | − | 0.976890i | \(-0.431435\pi\) | ||||
0.213741 | + | 0.976890i | \(0.431435\pi\) | |||||||
\(198\) | 1.00000 | + | 1.00000i | 0.0710669 | + | 0.0710669i | ||||
\(199\) | −8.00000 | −0.567105 | −0.283552 | − | 0.958957i | \(-0.591513\pi\) | ||||
−0.283552 | + | 0.958957i | \(0.591513\pi\) | |||||||
\(200\) | 9.00000 | − | 12.0000i | 0.636396 | − | 0.848528i | ||||
\(201\) | −4.00000 | − | 4.00000i | −0.282138 | − | 0.282138i | ||||
\(202\) | − | 12.0000i | − | 0.844317i | ||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | − | 2.00000i | − | 0.140028i | ||||||
\(205\) | −7.00000 | + | 21.0000i | −0.488901 | + | 1.46670i | ||||
\(206\) | 7.00000 | − | 7.00000i | 0.487713 | − | 0.487713i | ||||
\(207\) | −3.00000 | − | 3.00000i | −0.208514 | − | 0.208514i | ||||
\(208\) | −3.00000 | + | 2.00000i | −0.208013 | + | 0.138675i | ||||
\(209\) | − | 10.0000i | − | 0.691714i | ||||||
\(210\) | 6.00000 | + | 2.00000i | 0.414039 | + | 0.138013i | ||||
\(211\) | 4.00000 | 0.275371 | 0.137686 | − | 0.990476i | \(-0.456034\pi\) | ||||
0.137686 | + | 0.990476i | \(0.456034\pi\) | |||||||
\(212\) | −5.00000 | − | 5.00000i | −0.343401 | − | 0.343401i | ||||
\(213\) | 2.00000i | 0.137038i | ||||||||
\(214\) | 7.00000 | − | 7.00000i | 0.478510 | − | 0.478510i | ||||
\(215\) | 3.00000 | + | 1.00000i | 0.204598 | + | 0.0681994i | ||||
\(216\) | −12.0000 | + | 12.0000i | −0.816497 | + | 0.816497i | ||||
\(217\) | −10.0000 | + | 10.0000i | −0.678844 | + | 0.678844i | ||||
\(218\) | 9.00000 | − | 9.00000i | 0.609557 | − | 0.609557i | ||||
\(219\) | −10.0000 | − | 10.0000i | −0.675737 | − | 0.675737i | ||||
\(220\) | −3.00000 | − | 1.00000i | −0.202260 | − | 0.0674200i | ||||
\(221\) | 5.00000 | + | 1.00000i | 0.336336 | + | 0.0672673i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.00000i | 0.133930i | 0.997755 | + | 0.0669650i | \(0.0213316\pi\) | ||||
−0.997755 | + | 0.0669650i | \(0.978668\pi\) | |||||||
\(224\) | 10.0000i | 0.668153i | ||||||||
\(225\) | 4.00000 | + | 3.00000i | 0.266667 | + | 0.200000i | ||||
\(226\) | 5.00000 | + | 5.00000i | 0.332595 | + | 0.332595i | ||||
\(227\) | −12.0000 | −0.796468 | −0.398234 | − | 0.917284i | \(-0.630377\pi\) | ||||
−0.398234 | + | 0.917284i | \(0.630377\pi\) | |||||||
\(228\) | 10.0000 | 0.662266 | ||||||||
\(229\) | −3.00000 | − | 3.00000i | −0.198246 | − | 0.198246i | 0.601002 | − | 0.799248i | \(-0.294768\pi\) |
−0.799248 | + | 0.601002i | \(0.794768\pi\) | |||||||
\(230\) | −9.00000 | − | 3.00000i | −0.593442 | − | 0.197814i | ||||
\(231\) | − | 4.00000i | − | 0.263181i | ||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1.00000 | − | 1.00000i | 0.0655122 | − | 0.0655122i | −0.673592 | − | 0.739104i | \(-0.735249\pi\) |
0.739104 | + | 0.673592i | \(0.235249\pi\) | |||||||
\(234\) | −2.00000 | − | 3.00000i | −0.130744 | − | 0.196116i | ||||
\(235\) | −12.0000 | + | 6.00000i | −0.782794 | + | 0.391397i | ||||
\(236\) | 7.00000 | + | 7.00000i | 0.455661 | + | 0.455661i | ||||
\(237\) | −2.00000 | + | 2.00000i | −0.129914 | + | 0.129914i | ||||
\(238\) | −2.00000 | + | 2.00000i | −0.129641 | + | 0.129641i | ||||
\(239\) | 3.00000 | − | 3.00000i | 0.194054 | − | 0.194054i | −0.603391 | − | 0.797445i | \(-0.706184\pi\) |
0.797445 | + | 0.603391i | \(0.206184\pi\) | |||||||
\(240\) | −1.00000 | + | 3.00000i | −0.0645497 | + | 0.193649i | ||||
\(241\) | 17.0000 | − | 17.0000i | 1.09507 | − | 1.09507i | 0.100088 | − | 0.994979i | \(-0.468088\pi\) |
0.994979 | − | 0.100088i | \(-0.0319123\pi\) | |||||||
\(242\) | 9.00000i | 0.578542i | ||||||||
\(243\) | −7.00000 | − | 7.00000i | −0.449050 | − | 0.449050i | ||||
\(244\) | 14.0000 | 0.896258 | ||||||||
\(245\) | −3.00000 | − | 6.00000i | −0.191663 | − | 0.383326i | ||||
\(246\) | − | 14.0000i | − | 0.892607i | ||||||
\(247\) | −5.00000 | + | 25.0000i | −0.318142 | + | 1.59071i | ||||
\(248\) | −15.0000 | − | 15.0000i | −0.952501 | − | 0.952501i | ||||
\(249\) | −6.00000 | + | 6.00000i | −0.380235 | + | 0.380235i | ||||
\(250\) | 11.0000 | + | 2.00000i | 0.695701 | + | 0.126491i | ||||
\(251\) | − | 2.00000i | − | 0.126239i | −0.998006 | − | 0.0631194i | \(-0.979895\pi\) | ||
0.998006 | − | 0.0631194i | \(-0.0201049\pi\) | |||||||
\(252\) | −2.00000 | −0.125988 | ||||||||
\(253\) | 6.00000i | 0.377217i | ||||||||
\(254\) | 9.00000 | + | 9.00000i | 0.564710 | + | 0.564710i | ||||
\(255\) | 4.00000 | − | 2.00000i | 0.250490 | − | 0.125245i | ||||
\(256\) | −17.0000 | −1.06250 | ||||||||
\(257\) | −11.0000 | − | 11.0000i | −0.686161 | − | 0.686161i | 0.275220 | − | 0.961381i | \(-0.411249\pi\) |
−0.961381 | + | 0.275220i | \(0.911249\pi\) | |||||||
\(258\) | −2.00000 | −0.124515 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 7.00000 | + | 4.00000i | 0.434122 | + | 0.248069i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −20.0000 | −1.23560 | ||||||||
\(263\) | 1.00000 | + | 1.00000i | 0.0616626 | + | 0.0616626i | 0.737266 | − | 0.675603i | \(-0.236117\pi\) |
−0.675603 | + | 0.737266i | \(0.736117\pi\) | |||||||
\(264\) | 6.00000 | 0.369274 | ||||||||
\(265\) | 5.00000 | − | 15.0000i | 0.307148 | − | 0.921443i | ||||
\(266\) | −10.0000 | − | 10.0000i | −0.613139 | − | 0.613139i | ||||
\(267\) | 10.0000i | 0.611990i | ||||||||
\(268\) | 4.00000 | 0.244339 | ||||||||
\(269\) | − | 12.0000i | − | 0.731653i | −0.930683 | − | 0.365826i | \(-0.880786\pi\) | ||
0.930683 | − | 0.365826i | \(-0.119214\pi\) | |||||||
\(270\) | −12.0000 | − | 4.00000i | −0.730297 | − | 0.243432i | ||||
\(271\) | −9.00000 | + | 9.00000i | −0.546711 | + | 0.546711i | −0.925488 | − | 0.378777i | \(-0.876345\pi\) |
0.378777 | + | 0.925488i | \(0.376345\pi\) | |||||||
\(272\) | −1.00000 | − | 1.00000i | −0.0606339 | − | 0.0606339i | ||||
\(273\) | −2.00000 | + | 10.0000i | −0.121046 | + | 0.605228i | ||||
\(274\) | 16.0000i | 0.966595i | ||||||||
\(275\) | −1.00000 | − | 7.00000i | −0.0603023 | − | 0.422116i | ||||
\(276\) | −6.00000 | −0.361158 | ||||||||
\(277\) | −15.0000 | − | 15.0000i | −0.901263 | − | 0.901263i | 0.0942828 | − | 0.995545i | \(-0.469944\pi\) |
−0.995545 | + | 0.0942828i | \(0.969944\pi\) | |||||||
\(278\) | 14.0000i | 0.839664i | ||||||||
\(279\) | 5.00000 | − | 5.00000i | 0.299342 | − | 0.299342i | ||||
\(280\) | −12.0000 | + | 6.00000i | −0.717137 | + | 0.358569i | ||||
\(281\) | 1.00000 | − | 1.00000i | 0.0596550 | − | 0.0596550i | −0.676650 | − | 0.736305i | \(-0.736569\pi\) |
0.736305 | + | 0.676650i | \(0.236569\pi\) | |||||||
\(282\) | 6.00000 | − | 6.00000i | 0.357295 | − | 0.357295i | ||||
\(283\) | −9.00000 | + | 9.00000i | −0.534994 | + | 0.534994i | −0.922055 | − | 0.387060i | \(-0.873491\pi\) |
0.387060 | + | 0.922055i | \(0.373491\pi\) | |||||||
\(284\) | −1.00000 | − | 1.00000i | −0.0593391 | − | 0.0593391i | ||||
\(285\) | 10.0000 | + | 20.0000i | 0.592349 | + | 1.18470i | ||||
\(286\) | −1.00000 | + | 5.00000i | −0.0591312 | + | 0.295656i | ||||
\(287\) | 14.0000 | − | 14.0000i | 0.826394 | − | 0.826394i | ||||
\(288\) | − | 5.00000i | − | 0.294628i | ||||||
\(289\) | − | 15.0000i | − | 0.882353i | ||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.00000 | + | 2.00000i | 0.117242 | + | 0.117242i | ||||
\(292\) | 10.0000 | 0.585206 | ||||||||
\(293\) | −6.00000 | −0.350524 | −0.175262 | − | 0.984522i | \(-0.556077\pi\) | ||||
−0.175262 | + | 0.984522i | \(0.556077\pi\) | |||||||
\(294\) | 3.00000 | + | 3.00000i | 0.174964 | + | 0.174964i | ||||
\(295\) | −7.00000 | + | 21.0000i | −0.407556 | + | 1.22267i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 8.00000i | 0.464207i | ||||||||
\(298\) | −3.00000 | + | 3.00000i | −0.173785 | + | 0.173785i | ||||
\(299\) | 3.00000 | − | 15.0000i | 0.173494 | − | 0.867472i | ||||
\(300\) | 7.00000 | − | 1.00000i | 0.404145 | − | 0.0577350i | ||||
\(301\) | −2.00000 | − | 2.00000i | −0.115278 | − | 0.115278i | ||||
\(302\) | 7.00000 | − | 7.00000i | 0.402805 | − | 0.402805i | ||||
\(303\) | 12.0000 | − | 12.0000i | 0.689382 | − | 0.689382i | ||||
\(304\) | 5.00000 | − | 5.00000i | 0.286770 | − | 0.286770i | ||||
\(305\) | 14.0000 | + | 28.0000i | 0.801638 | + | 1.60328i | ||||
\(306\) | 1.00000 | − | 1.00000i | 0.0571662 | − | 0.0571662i | ||||
\(307\) | − | 18.0000i | − | 1.02731i | −0.857996 | − | 0.513657i | \(-0.828290\pi\) | ||
0.857996 | − | 0.513657i | \(-0.171710\pi\) | |||||||
\(308\) | 2.00000 | + | 2.00000i | 0.113961 | + | 0.113961i | ||||
\(309\) | 14.0000 | 0.796432 | ||||||||
\(310\) | 5.00000 | − | 15.0000i | 0.283981 | − | 0.851943i | ||||
\(311\) | − | 6.00000i | − | 0.340229i | −0.985424 | − | 0.170114i | \(-0.945586\pi\) | ||
0.985424 | − | 0.170114i | \(-0.0544137\pi\) | |||||||
\(312\) | −15.0000 | − | 3.00000i | −0.849208 | − | 0.169842i | ||||
\(313\) | 9.00000 | + | 9.00000i | 0.508710 | + | 0.508710i | 0.914130 | − | 0.405420i | \(-0.132875\pi\) |
−0.405420 | + | 0.914130i | \(0.632875\pi\) | |||||||
\(314\) | 13.0000 | − | 13.0000i | 0.733632 | − | 0.733632i | ||||
\(315\) | −2.00000 | − | 4.00000i | −0.112687 | − | 0.225374i | ||||
\(316\) | − | 2.00000i | − | 0.112509i | ||||||
\(317\) | −14.0000 | −0.786318 | −0.393159 | − | 0.919470i | \(-0.628618\pi\) | ||||
−0.393159 | + | 0.919470i | \(0.628618\pi\) | |||||||
\(318\) | 10.0000i | 0.560772i | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −7.00000 | − | 14.0000i | −0.391312 | − | 0.782624i | ||||
\(321\) | 14.0000 | 0.781404 | ||||||||
\(322\) | 6.00000 | + | 6.00000i | 0.334367 | + | 0.334367i | ||||
\(323\) | −10.0000 | −0.556415 | ||||||||
\(324\) | −5.00000 | −0.277778 | ||||||||
\(325\) | −1.00000 | + | 18.0000i | −0.0554700 | + | 0.998460i | ||||
\(326\) | 4.00000 | 0.221540 | ||||||||
\(327\) | 18.0000 | 0.995402 | ||||||||
\(328\) | 21.0000 | + | 21.0000i | 1.15953 | + | 1.15953i | ||||
\(329\) | 12.0000 | 0.661581 | ||||||||
\(330\) | 2.00000 | + | 4.00000i | 0.110096 | + | 0.220193i | ||||
\(331\) | −3.00000 | − | 3.00000i | −0.164895 | − | 0.164895i | 0.619836 | − | 0.784731i | \(-0.287199\pi\) |
−0.784731 | + | 0.619836i | \(0.787199\pi\) | |||||||
\(332\) | − | 6.00000i | − | 0.329293i | ||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 18.0000i | 0.984916i | ||||||||
\(335\) | 4.00000 | + | 8.00000i | 0.218543 | + | 0.437087i | ||||
\(336\) | 2.00000 | − | 2.00000i | 0.109109 | − | 0.109109i | ||||
\(337\) | 13.0000 | + | 13.0000i | 0.708155 | + | 0.708155i | 0.966147 | − | 0.257992i | \(-0.0830608\pi\) |
−0.257992 | + | 0.966147i | \(0.583061\pi\) | |||||||
\(338\) | 5.00000 | − | 12.0000i | 0.271964 | − | 0.652714i | ||||
\(339\) | 10.0000i | 0.543125i | ||||||||
\(340\) | −1.00000 | + | 3.00000i | −0.0542326 | + | 0.162698i | ||||
\(341\) | −10.0000 | −0.541530 | ||||||||
\(342\) | 5.00000 | + | 5.00000i | 0.270369 | + | 0.270369i | ||||
\(343\) | 20.0000i | 1.07990i | ||||||||
\(344\) | 3.00000 | − | 3.00000i | 0.161749 | − | 0.161749i | ||||
\(345\) | −6.00000 | − | 12.0000i | −0.323029 | − | 0.646058i | ||||
\(346\) | −11.0000 | + | 11.0000i | −0.591364 | + | 0.591364i | ||||
\(347\) | 3.00000 | − | 3.00000i | 0.161048 | − | 0.161048i | −0.621983 | − | 0.783031i | \(-0.713673\pi\) |
0.783031 | + | 0.621983i | \(0.213673\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 9.00000 | + | 9.00000i | 0.481759 | + | 0.481759i | 0.905693 | − | 0.423934i | \(-0.139351\pi\) |
−0.423934 | + | 0.905693i | \(0.639351\pi\) | |||||||
\(350\) | −8.00000 | − | 6.00000i | −0.427618 | − | 0.320713i | ||||
\(351\) | 4.00000 | − | 20.0000i | 0.213504 | − | 1.06752i | ||||
\(352\) | −5.00000 | + | 5.00000i | −0.266501 | + | 0.266501i | ||||
\(353\) | − | 12.0000i | − | 0.638696i | −0.947638 | − | 0.319348i | \(-0.896536\pi\) | ||
0.947638 | − | 0.319348i | \(-0.103464\pi\) | |||||||
\(354\) | − | 14.0000i | − | 0.744092i | ||||||
\(355\) | 1.00000 | − | 3.00000i | 0.0530745 | − | 0.159223i | ||||
\(356\) | −5.00000 | − | 5.00000i | −0.264999 | − | 0.264999i | ||||
\(357\) | −4.00000 | −0.211702 | ||||||||
\(358\) | −20.0000 | −1.05703 | ||||||||
\(359\) | 1.00000 | + | 1.00000i | 0.0527780 | + | 0.0527780i | 0.733003 | − | 0.680225i | \(-0.238118\pi\) |
−0.680225 | + | 0.733003i | \(0.738118\pi\) | |||||||
\(360\) | 6.00000 | − | 3.00000i | 0.316228 | − | 0.158114i | ||||
\(361\) | − | 31.0000i | − | 1.63158i | ||||||
\(362\) | 8.00000i | 0.420471i | ||||||||
\(363\) | −9.00000 | + | 9.00000i | −0.472377 | + | 0.472377i | ||||
\(364\) | −4.00000 | − | 6.00000i | −0.209657 | − | 0.314485i | ||||
\(365\) | 10.0000 | + | 20.0000i | 0.523424 | + | 1.04685i | ||||
\(366\) | −14.0000 | − | 14.0000i | −0.731792 | − | 0.731792i | ||||
\(367\) | −1.00000 | + | 1.00000i | −0.0521996 | + | 0.0521996i | −0.732725 | − | 0.680525i | \(-0.761752\pi\) |
0.680525 | + | 0.732725i | \(0.261752\pi\) | |||||||
\(368\) | −3.00000 | + | 3.00000i | −0.156386 | + | 0.156386i | ||||
\(369\) | −7.00000 | + | 7.00000i | −0.364405 | + | 0.364405i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −10.0000 | + | 10.0000i | −0.519174 | + | 0.519174i | ||||
\(372\) | − | 10.0000i | − | 0.518476i | ||||||
\(373\) | −15.0000 | − | 15.0000i | −0.776671 | − | 0.776671i | 0.202593 | − | 0.979263i | \(-0.435063\pi\) |
−0.979263 | + | 0.202593i | \(0.935063\pi\) | |||||||
\(374\) | −2.00000 | −0.103418 | ||||||||
\(375\) | 9.00000 | + | 13.0000i | 0.464758 | + | 0.671317i | ||||
\(376\) | 18.0000i | 0.928279i | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 8.00000 | + | 8.00000i | 0.411476 | + | 0.411476i | ||||
\(379\) | −1.00000 | + | 1.00000i | −0.0513665 | + | 0.0513665i | −0.732323 | − | 0.680957i | \(-0.761564\pi\) |
0.680957 | + | 0.732323i | \(0.261564\pi\) | |||||||
\(380\) | −15.0000 | − | 5.00000i | −0.769484 | − | 0.256495i | ||||
\(381\) | 18.0000i | 0.922168i | ||||||||
\(382\) | 8.00000 | 0.409316 | ||||||||
\(383\) | − | 30.0000i | − | 1.53293i | −0.642287 | − | 0.766464i | \(-0.722014\pi\) | ||
0.642287 | − | 0.766464i | \(-0.277986\pi\) | |||||||
\(384\) | −3.00000 | − | 3.00000i | −0.153093 | − | 0.153093i | ||||
\(385\) | −2.00000 | + | 6.00000i | −0.101929 | + | 0.305788i | ||||
\(386\) | 18.0000 | 0.916176 | ||||||||
\(387\) | 1.00000 | + | 1.00000i | 0.0508329 | + | 0.0508329i | ||||
\(388\) | −2.00000 | −0.101535 | ||||||||
\(389\) | −18.0000 | −0.912636 | −0.456318 | − | 0.889817i | \(-0.650832\pi\) | ||||
−0.456318 | + | 0.889817i | \(0.650832\pi\) | |||||||
\(390\) | −3.00000 | − | 11.0000i | −0.151911 | − | 0.557007i | ||||
\(391\) | 6.00000 | 0.303433 | ||||||||
\(392\) | −9.00000 | −0.454569 | ||||||||
\(393\) | −20.0000 | − | 20.0000i | −1.00887 | − | 1.00887i | ||||
\(394\) | 6.00000 | 0.302276 | ||||||||
\(395\) | 4.00000 | − | 2.00000i | 0.201262 | − | 0.100631i | ||||
\(396\) | −1.00000 | − | 1.00000i | −0.0502519 | − | 0.0502519i | ||||
\(397\) | − | 16.0000i | − | 0.803017i | −0.915855 | − | 0.401508i | \(-0.868486\pi\) | ||
0.915855 | − | 0.401508i | \(-0.131514\pi\) | |||||||
\(398\) | −8.00000 | −0.401004 | ||||||||
\(399\) | − | 20.0000i | − | 1.00125i | ||||||
\(400\) | 3.00000 | − | 4.00000i | 0.150000 | − | 0.200000i | ||||
\(401\) | −11.0000 | + | 11.0000i | −0.549314 | + | 0.549314i | −0.926242 | − | 0.376929i | \(-0.876980\pi\) |
0.376929 | + | 0.926242i | \(0.376980\pi\) | |||||||
\(402\) | −4.00000 | − | 4.00000i | −0.199502 | − | 0.199502i | ||||
\(403\) | 25.0000 | + | 5.00000i | 1.24534 | + | 0.249068i | ||||
\(404\) | 12.0000i | 0.597022i | ||||||||
\(405\) | −5.00000 | − | 10.0000i | −0.248452 | − | 0.496904i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | − | 6.00000i | − | 0.297044i | ||||||
\(409\) | −7.00000 | + | 7.00000i | −0.346128 | + | 0.346128i | −0.858665 | − | 0.512537i | \(-0.828706\pi\) |
0.512537 | + | 0.858665i | \(0.328706\pi\) | |||||||
\(410\) | −7.00000 | + | 21.0000i | −0.345705 | + | 1.03712i | ||||
\(411\) | −16.0000 | + | 16.0000i | −0.789222 | + | 0.789222i | ||||
\(412\) | −7.00000 | + | 7.00000i | −0.344865 | + | 0.344865i | ||||
\(413\) | 14.0000 | − | 14.0000i | 0.688895 | − | 0.688895i | ||||
\(414\) | −3.00000 | − | 3.00000i | −0.147442 | − | 0.147442i | ||||
\(415\) | 12.0000 | − | 6.00000i | 0.589057 | − | 0.294528i | ||||
\(416\) | 15.0000 | − | 10.0000i | 0.735436 | − | 0.490290i | ||||
\(417\) | −14.0000 | + | 14.0000i | −0.685583 | + | 0.685583i | ||||
\(418\) | − | 10.0000i | − | 0.489116i | ||||||
\(419\) | 38.0000i | 1.85642i | 0.372055 | + | 0.928211i | \(0.378653\pi\) | ||||
−0.372055 | + | 0.928211i | \(0.621347\pi\) | |||||||
\(420\) | −6.00000 | − | 2.00000i | −0.292770 | − | 0.0975900i | ||||
\(421\) | −11.0000 | − | 11.0000i | −0.536107 | − | 0.536107i | 0.386276 | − | 0.922383i | \(-0.373761\pi\) |
−0.922383 | + | 0.386276i | \(0.873761\pi\) | |||||||
\(422\) | 4.00000 | 0.194717 | ||||||||
\(423\) | −6.00000 | −0.291730 | ||||||||
\(424\) | −15.0000 | − | 15.0000i | −0.728464 | − | 0.728464i | ||||
\(425\) | −7.00000 | + | 1.00000i | −0.339550 | + | 0.0485071i | ||||
\(426\) | 2.00000i | 0.0969003i | ||||||||
\(427\) | − | 28.0000i | − | 1.35501i | ||||||
\(428\) | −7.00000 | + | 7.00000i | −0.338358 | + | 0.338358i | ||||
\(429\) | −6.00000 | + | 4.00000i | −0.289683 | + | 0.193122i | ||||
\(430\) | 3.00000 | + | 1.00000i | 0.144673 | + | 0.0482243i | ||||
\(431\) | 13.0000 | + | 13.0000i | 0.626188 | + | 0.626188i | 0.947107 | − | 0.320919i | \(-0.103992\pi\) |
−0.320919 | + | 0.947107i | \(0.603992\pi\) | |||||||
\(432\) | −4.00000 | + | 4.00000i | −0.192450 | + | 0.192450i | ||||
\(433\) | 17.0000 | − | 17.0000i | 0.816968 | − | 0.816968i | −0.168700 | − | 0.985668i | \(-0.553957\pi\) |
0.985668 | + | 0.168700i | \(0.0539568\pi\) | |||||||
\(434\) | −10.0000 | + | 10.0000i | −0.480015 | + | 0.480015i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.00000 | + | 9.00000i | −0.431022 | + | 0.431022i | ||||
\(437\) | 30.0000i | 1.43509i | ||||||||
\(438\) | −10.0000 | − | 10.0000i | −0.477818 | − | 0.477818i | ||||
\(439\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(440\) | −9.00000 | − | 3.00000i | −0.429058 | − | 0.143019i | ||||
\(441\) | − | 3.00000i | − | 0.142857i | ||||||
\(442\) | 5.00000 | + | 1.00000i | 0.237826 | + | 0.0475651i | ||||
\(443\) | 25.0000 | + | 25.0000i | 1.18779 | + | 1.18779i | 0.977678 | + | 0.210108i | \(0.0673814\pi\) |
0.210108 | + | 0.977678i | \(0.432619\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.00000 | − | 15.0000i | 0.237023 | − | 0.711068i | ||||
\(446\) | 2.00000i | 0.0947027i | ||||||||
\(447\) | −6.00000 | −0.283790 | ||||||||
\(448\) | 14.0000i | 0.661438i | ||||||||
\(449\) | −3.00000 | − | 3.00000i | −0.141579 | − | 0.141579i | 0.632765 | − | 0.774344i | \(-0.281920\pi\) |
−0.774344 | + | 0.632765i | \(0.781920\pi\) | |||||||
\(450\) | 4.00000 | + | 3.00000i | 0.188562 | + | 0.141421i | ||||
\(451\) | 14.0000 | 0.659234 | ||||||||
\(452\) | −5.00000 | − | 5.00000i | −0.235180 | − | 0.235180i | ||||
\(453\) | 14.0000 | 0.657777 | ||||||||
\(454\) | −12.0000 | −0.563188 | ||||||||
\(455\) | 8.00000 | − | 14.0000i | 0.375046 | − | 0.656330i | ||||
\(456\) | 30.0000 | 1.40488 | ||||||||
\(457\) | 2.00000 | 0.0935561 | 0.0467780 | − | 0.998905i | \(-0.485105\pi\) | ||||
0.0467780 | + | 0.998905i | \(0.485105\pi\) | |||||||
\(458\) | −3.00000 | − | 3.00000i | −0.140181 | − | 0.140181i | ||||
\(459\) | 8.00000 | 0.373408 | ||||||||
\(460\) | 9.00000 | + | 3.00000i | 0.419627 | + | 0.139876i | ||||
\(461\) | 17.0000 | + | 17.0000i | 0.791769 | + | 0.791769i | 0.981782 | − | 0.190013i | \(-0.0608529\pi\) |
−0.190013 | + | 0.981782i | \(0.560853\pi\) | |||||||
\(462\) | − | 4.00000i | − | 0.186097i | ||||||
\(463\) | −24.0000 | −1.11537 | −0.557687 | − | 0.830051i | \(-0.688311\pi\) | ||||
−0.557687 | + | 0.830051i | \(0.688311\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 20.0000 | − | 10.0000i | 0.927478 | − | 0.463739i | ||||
\(466\) | 1.00000 | − | 1.00000i | 0.0463241 | − | 0.0463241i | ||||
\(467\) | 9.00000 | + | 9.00000i | 0.416470 | + | 0.416470i | 0.883985 | − | 0.467515i | \(-0.154851\pi\) |
−0.467515 | + | 0.883985i | \(0.654851\pi\) | |||||||
\(468\) | 2.00000 | + | 3.00000i | 0.0924500 | + | 0.138675i | ||||
\(469\) | − | 8.00000i | − | 0.369406i | ||||||
\(470\) | −12.0000 | + | 6.00000i | −0.553519 | + | 0.276759i | ||||
\(471\) | 26.0000 | 1.19802 | ||||||||
\(472\) | 21.0000 | + | 21.0000i | 0.966603 | + | 0.966603i | ||||
\(473\) | − | 2.00000i | − | 0.0919601i | ||||||
\(474\) | −2.00000 | + | 2.00000i | −0.0918630 | + | 0.0918630i | ||||
\(475\) | −5.00000 | − | 35.0000i | −0.229416 | − | 1.60591i | ||||
\(476\) | 2.00000 | − | 2.00000i | 0.0916698 | − | 0.0916698i | ||||
\(477\) | 5.00000 | − | 5.00000i | 0.228934 | − | 0.228934i | ||||
\(478\) | 3.00000 | − | 3.00000i | 0.137217 | − | 0.137217i | ||||
\(479\) | −7.00000 | − | 7.00000i | −0.319838 | − | 0.319838i | 0.528867 | − | 0.848705i | \(-0.322617\pi\) |
−0.848705 | + | 0.528867i | \(0.822617\pi\) | |||||||
\(480\) | 5.00000 | − | 15.0000i | 0.228218 | − | 0.684653i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 17.0000 | − | 17.0000i | 0.774329 | − | 0.774329i | ||||
\(483\) | 12.0000i | 0.546019i | ||||||||
\(484\) | − | 9.00000i | − | 0.409091i | ||||||
\(485\) | −2.00000 | − | 4.00000i | −0.0908153 | − | 0.181631i | ||||
\(486\) | −7.00000 | − | 7.00000i | −0.317526 | − | 0.317526i | ||||
\(487\) | 16.0000 | 0.725029 | 0.362515 | − | 0.931978i | \(-0.381918\pi\) | ||||
0.362515 | + | 0.931978i | \(0.381918\pi\) | |||||||
\(488\) | 42.0000 | 1.90125 | ||||||||
\(489\) | 4.00000 | + | 4.00000i | 0.180886 | + | 0.180886i | ||||
\(490\) | −3.00000 | − | 6.00000i | −0.135526 | − | 0.271052i | ||||
\(491\) | 22.0000i | 0.992846i | 0.868081 | + | 0.496423i | \(0.165354\pi\) | ||||
−0.868081 | + | 0.496423i | \(0.834646\pi\) | |||||||
\(492\) | 14.0000i | 0.631169i | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −5.00000 | + | 25.0000i | −0.224961 | + | 1.12480i | ||||
\(495\) | 1.00000 | − | 3.00000i | 0.0449467 | − | 0.134840i | ||||
\(496\) | −5.00000 | − | 5.00000i | −0.224507 | − | 0.224507i | ||||
\(497\) | −2.00000 | + | 2.00000i | −0.0897123 | + | 0.0897123i | ||||
\(498\) | −6.00000 | + | 6.00000i | −0.268866 | + | 0.268866i | ||||
\(499\) | 3.00000 | − | 3.00000i | 0.134298 | − | 0.134298i | −0.636762 | − | 0.771060i | \(-0.719727\pi\) |
0.771060 | + | 0.636762i | \(0.219727\pi\) | |||||||
\(500\) | −11.0000 | − | 2.00000i | −0.491935 | − | 0.0894427i | ||||
\(501\) | −18.0000 | + | 18.0000i | −0.804181 | + | 0.804181i | ||||
\(502\) | − | 2.00000i | − | 0.0892644i | ||||||
\(503\) | −3.00000 | − | 3.00000i | −0.133763 | − | 0.133763i | 0.637055 | − | 0.770818i | \(-0.280152\pi\) |
−0.770818 | + | 0.637055i | \(0.780152\pi\) | |||||||
\(504\) | −6.00000 | −0.267261 | ||||||||
\(505\) | −24.0000 | + | 12.0000i | −1.06799 | + | 0.533993i | ||||
\(506\) | 6.00000i | 0.266733i | ||||||||
\(507\) | 17.0000 | − | 7.00000i | 0.754997 | − | 0.310881i | ||||
\(508\) | −9.00000 | − | 9.00000i | −0.399310 | − | 0.399310i | ||||
\(509\) | 13.0000 | − | 13.0000i | 0.576215 | − | 0.576215i | −0.357643 | − | 0.933858i | \(-0.616420\pi\) |
0.933858 | + | 0.357643i | \(0.116420\pi\) | |||||||
\(510\) | 4.00000 | − | 2.00000i | 0.177123 | − | 0.0885615i | ||||
\(511\) | − | 20.0000i | − | 0.884748i | ||||||
\(512\) | −11.0000 | −0.486136 | ||||||||
\(513\) | 40.0000i | 1.76604i | ||||||||
\(514\) | −11.0000 | − | 11.0000i | −0.485189 | − | 0.485189i | ||||
\(515\) | −21.0000 | − | 7.00000i | −0.925371 | − | 0.308457i | ||||
\(516\) | 2.00000 | 0.0880451 | ||||||||
\(517\) | 6.00000 | + | 6.00000i | 0.263880 | + | 0.263880i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −22.0000 | −0.965693 | ||||||||
\(520\) | 21.0000 | + | 12.0000i | 0.920911 | + | 0.526235i | ||||
\(521\) | −10.0000 | −0.438108 | −0.219054 | − | 0.975713i | \(-0.570297\pi\) | ||||
−0.219054 | + | 0.975713i | \(0.570297\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.00000 | + | 9.00000i | 0.393543 | + | 0.393543i | 0.875948 | − | 0.482405i | \(-0.160237\pi\) |
−0.482405 | + | 0.875948i | \(0.660237\pi\) | |||||||
\(524\) | 20.0000 | 0.873704 | ||||||||
\(525\) | −2.00000 | − | 14.0000i | −0.0872872 | − | 0.611010i | ||||
\(526\) | 1.00000 | + | 1.00000i | 0.0436021 | + | 0.0436021i | ||||
\(527\) | 10.0000i | 0.435607i | ||||||||
\(528\) | 2.00000 | 0.0870388 | ||||||||
\(529\) | 5.00000i | 0.217391i | ||||||||
\(530\) | 5.00000 | − | 15.0000i | 0.217186 | − | 0.651558i | ||||
\(531\) | −7.00000 | + | 7.00000i | −0.303774 | + | 0.303774i | ||||
\(532\) | 10.0000 | + | 10.0000i | 0.433555 | + | 0.433555i | ||||
\(533\) | −35.0000 | − | 7.00000i | −1.51602 | − | 0.303204i | ||||
\(534\) | 10.0000i | 0.432742i | ||||||||
\(535\) | −21.0000 | − | 7.00000i | −0.907909 | − | 0.302636i | ||||
\(536\) | 12.0000 | 0.518321 | ||||||||
\(537\) | −20.0000 | − | 20.0000i | −0.863064 | − | 0.863064i | ||||
\(538\) | − | 12.0000i | − | 0.517357i | ||||||
\(539\) | −3.00000 | + | 3.00000i | −0.129219 | + | 0.129219i | ||||
\(540\) | 12.0000 | + | 4.00000i | 0.516398 | + | 0.172133i | ||||
\(541\) | 9.00000 | − | 9.00000i | 0.386940 | − | 0.386940i | −0.486654 | − | 0.873595i | \(-0.661783\pi\) |
0.873595 | + | 0.486654i | \(0.161783\pi\) | |||||||
\(542\) | −9.00000 | + | 9.00000i | −0.386583 | + | 0.386583i | ||||
\(543\) | −8.00000 | + | 8.00000i | −0.343313 | + | 0.343313i | ||||
\(544\) | 5.00000 | + | 5.00000i | 0.214373 | + | 0.214373i | ||||
\(545\) | −27.0000 | − | 9.00000i | −1.15655 | − | 0.385518i | ||||
\(546\) | −2.00000 | + | 10.0000i | −0.0855921 | + | 0.427960i | ||||
\(547\) | −9.00000 | + | 9.00000i | −0.384812 | + | 0.384812i | −0.872832 | − | 0.488020i | \(-0.837719\pi\) |
0.488020 | + | 0.872832i | \(0.337719\pi\) | |||||||
\(548\) | − | 16.0000i | − | 0.683486i | ||||||
\(549\) | 14.0000i | 0.597505i | ||||||||
\(550\) | −1.00000 | − | 7.00000i | −0.0426401 | − | 0.298481i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −18.0000 | −0.766131 | ||||||||
\(553\) | −4.00000 | −0.170097 | ||||||||
\(554\) | −15.0000 | − | 15.0000i | −0.637289 | − | 0.637289i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | − | 14.0000i | − | 0.593732i | ||||||
\(557\) | − | 24.0000i | − | 1.01691i | −0.861088 | − | 0.508456i | \(-0.830216\pi\) | ||
0.861088 | − | 0.508456i | \(-0.169784\pi\) | |||||||
\(558\) | 5.00000 | − | 5.00000i | 0.211667 | − | 0.211667i | ||||
\(559\) | −1.00000 | + | 5.00000i | −0.0422955 | + | 0.211477i | ||||
\(560\) | −4.00000 | + | 2.00000i | −0.169031 | + | 0.0845154i | ||||
\(561\) | −2.00000 | − | 2.00000i | −0.0844401 | − | 0.0844401i | ||||
\(562\) | 1.00000 | − | 1.00000i | 0.0421825 | − | 0.0421825i | ||||
\(563\) | 15.0000 | − | 15.0000i | 0.632175 | − | 0.632175i | −0.316438 | − | 0.948613i | \(-0.602487\pi\) |
0.948613 | + | 0.316438i | \(0.102487\pi\) | |||||||
\(564\) | −6.00000 | + | 6.00000i | −0.252646 | + | 0.252646i | ||||
\(565\) | 5.00000 | − | 15.0000i | 0.210352 | − | 0.631055i | ||||
\(566\) | −9.00000 | + | 9.00000i | −0.378298 | + | 0.378298i | ||||
\(567\) | 10.0000i | 0.419961i | ||||||||
\(568\) | −3.00000 | − | 3.00000i | −0.125877 | − | 0.125877i | ||||
\(569\) | 6.00000 | 0.251533 | 0.125767 | − | 0.992060i | \(-0.459861\pi\) | ||||
0.125767 | + | 0.992060i | \(0.459861\pi\) | |||||||
\(570\) | 10.0000 | + | 20.0000i | 0.418854 | + | 0.837708i | ||||
\(571\) | 6.00000i | 0.251092i | 0.992088 | + | 0.125546i | \(0.0400683\pi\) | ||||
−0.992088 | + | 0.125546i | \(0.959932\pi\) | |||||||
\(572\) | 1.00000 | − | 5.00000i | 0.0418121 | − | 0.209061i | ||||
\(573\) | 8.00000 | + | 8.00000i | 0.334205 | + | 0.334205i | ||||
\(574\) | 14.0000 | − | 14.0000i | 0.584349 | − | 0.584349i | ||||
\(575\) | 3.00000 | + | 21.0000i | 0.125109 | + | 0.875761i | ||||
\(576\) | − | 7.00000i | − | 0.291667i | ||||||
\(577\) | 46.0000 | 1.91501 | 0.957503 | − | 0.288425i | \(-0.0931316\pi\) | ||||
0.957503 | + | 0.288425i | \(0.0931316\pi\) | |||||||
\(578\) | − | 15.0000i | − | 0.623918i | ||||||
\(579\) | 18.0000 | + | 18.0000i | 0.748054 | + | 0.748054i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −12.0000 | −0.497844 | ||||||||
\(582\) | 2.00000 | + | 2.00000i | 0.0829027 | + | 0.0829027i | ||||
\(583\) | −10.0000 | −0.414158 | ||||||||
\(584\) | 30.0000 | 1.24141 | ||||||||
\(585\) | −4.00000 | + | 7.00000i | −0.165380 | + | 0.289414i | ||||
\(586\) | −6.00000 | −0.247858 | ||||||||
\(587\) | −4.00000 | −0.165098 | −0.0825488 | − | 0.996587i | \(-0.526306\pi\) | ||||
−0.0825488 | + | 0.996587i | \(0.526306\pi\) | |||||||
\(588\) | −3.00000 | − | 3.00000i | −0.123718 | − | 0.123718i | ||||
\(589\) | −50.0000 | −2.06021 | ||||||||
\(590\) | −7.00000 | + | 21.0000i | −0.288185 | + | 0.864556i | ||||
\(591\) | 6.00000 | + | 6.00000i | 0.246807 | + | 0.246807i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 10.0000 | 0.410651 | 0.205325 | − | 0.978694i | \(-0.434175\pi\) | ||||
0.205325 | + | 0.978694i | \(0.434175\pi\) | |||||||
\(594\) | 8.00000i | 0.328244i | ||||||||
\(595\) | 6.00000 | + | 2.00000i | 0.245976 | + | 0.0819920i | ||||
\(596\) | 3.00000 | − | 3.00000i | 0.122885 | − | 0.122885i | ||||
\(597\) | −8.00000 | − | 8.00000i | −0.327418 | − | 0.327418i | ||||
\(598\) | 3.00000 | − | 15.0000i | 0.122679 | − | 0.613396i | ||||
\(599\) | − | 30.0000i | − | 1.22577i | −0.790173 | − | 0.612883i | \(-0.790010\pi\) | ||
0.790173 | − | 0.612883i | \(-0.209990\pi\) | |||||||
\(600\) | 21.0000 | − | 3.00000i | 0.857321 | − | 0.122474i | ||||
\(601\) | −38.0000 | −1.55005 | −0.775026 | − | 0.631929i | \(-0.782263\pi\) | ||||
−0.775026 | + | 0.631929i | \(0.782263\pi\) | |||||||
\(602\) | −2.00000 | − | 2.00000i | −0.0815139 | − | 0.0815139i | ||||
\(603\) | 4.00000i | 0.162893i | ||||||||
\(604\) | −7.00000 | + | 7.00000i | −0.284826 | + | 0.284826i | ||||
\(605\) | 18.0000 | − | 9.00000i | 0.731804 | − | 0.365902i | ||||
\(606\) | 12.0000 | − | 12.0000i | 0.487467 | − | 0.487467i | ||||
\(607\) | −13.0000 | + | 13.0000i | −0.527654 | + | 0.527654i | −0.919872 | − | 0.392218i | \(-0.871708\pi\) |
0.392218 | + | 0.919872i | \(0.371708\pi\) | |||||||
\(608\) | −25.0000 | + | 25.0000i | −1.01388 | + | 1.01388i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 14.0000 | + | 28.0000i | 0.566843 | + | 1.13369i | ||||
\(611\) | −12.0000 | − | 18.0000i | −0.485468 | − | 0.728202i | ||||
\(612\) | −1.00000 | + | 1.00000i | −0.0404226 | + | 0.0404226i | ||||
\(613\) | − | 20.0000i | − | 0.807792i | −0.914805 | − | 0.403896i | \(-0.867656\pi\) | ||
0.914805 | − | 0.403896i | \(-0.132344\pi\) | |||||||
\(614\) | − | 18.0000i | − | 0.726421i | ||||||
\(615\) | −28.0000 | + | 14.0000i | −1.12907 | + | 0.564534i | ||||
\(616\) | 6.00000 | + | 6.00000i | 0.241747 | + | 0.241747i | ||||
\(617\) | −22.0000 | −0.885687 | −0.442843 | − | 0.896599i | \(-0.646030\pi\) | ||||
−0.442843 | + | 0.896599i | \(0.646030\pi\) | |||||||
\(618\) | 14.0000 | 0.563163 | ||||||||
\(619\) | 25.0000 | + | 25.0000i | 1.00483 | + | 1.00483i | 0.999988 | + | 0.00484658i | \(0.00154272\pi\) |
0.00484658 | + | 0.999988i | \(0.498457\pi\) | |||||||
\(620\) | −5.00000 | + | 15.0000i | −0.200805 | + | 0.602414i | ||||
\(621\) | − | 24.0000i | − | 0.963087i | ||||||
\(622\) | − | 6.00000i | − | 0.240578i | ||||||
\(623\) | −10.0000 | + | 10.0000i | −0.400642 | + | 0.400642i | ||||
\(624\) | −5.00000 | − | 1.00000i | −0.200160 | − | 0.0400320i | ||||
\(625\) | −7.00000 | − | 24.0000i | −0.280000 | − | 0.960000i | ||||
\(626\) | 9.00000 | + | 9.00000i | 0.359712 | + | 0.359712i | ||||
\(627\) | 10.0000 | − | 10.0000i | 0.399362 | − | 0.399362i | ||||
\(628\) | −13.0000 | + | 13.0000i | −0.518756 | + | 0.518756i | ||||
\(629\) | 0 | 0 | ||||||||
\(630\) | −2.00000 | − | 4.00000i | −0.0796819 | − | 0.159364i | ||||
\(631\) | 11.0000 | − | 11.0000i | 0.437903 | − | 0.437903i | −0.453403 | − | 0.891306i | \(-0.649790\pi\) |
0.891306 | + | 0.453403i | \(0.149790\pi\) | |||||||
\(632\) | − | 6.00000i | − | 0.238667i | ||||||
\(633\) | 4.00000 | + | 4.00000i | 0.158986 | + | 0.158986i | ||||
\(634\) | −14.0000 | −0.556011 | ||||||||
\(635\) | 9.00000 | − | 27.0000i | 0.357154 | − | 1.07146i | ||||
\(636\) | − | 10.0000i | − | 0.396526i | ||||||
\(637\) | 9.00000 | − | 6.00000i | 0.356593 | − | 0.237729i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.00000 | − | 1.00000i | 0.0395594 | − | 0.0395594i | ||||
\(640\) | 3.00000 | + | 6.00000i | 0.118585 | + | 0.237171i | ||||
\(641\) | 24.0000i | 0.947943i | 0.880540 | + | 0.473972i | \(0.157180\pi\) | ||||
−0.880540 | + | 0.473972i | \(0.842820\pi\) | |||||||
\(642\) | 14.0000 | 0.552536 | ||||||||
\(643\) | − | 34.0000i | − | 1.34083i | −0.741987 | − | 0.670415i | \(-0.766116\pi\) | ||
0.741987 | − | 0.670415i | \(-0.233884\pi\) | |||||||
\(644\) | −6.00000 | − | 6.00000i | −0.236433 | − | 0.236433i | ||||
\(645\) | 2.00000 | + | 4.00000i | 0.0787499 | + | 0.157500i | ||||
\(646\) | −10.0000 | −0.393445 | ||||||||
\(647\) | 1.00000 | + | 1.00000i | 0.0393141 | + | 0.0393141i | 0.726491 | − | 0.687176i | \(-0.241150\pi\) |
−0.687176 | + | 0.726491i | \(0.741150\pi\) | |||||||
\(648\) | −15.0000 | −0.589256 | ||||||||
\(649\) | 14.0000 | 0.549548 | ||||||||
\(650\) | −1.00000 | + | 18.0000i | −0.0392232 | + | 0.706018i | ||||
\(651\) | −20.0000 | −0.783862 | ||||||||
\(652\) | −4.00000 | −0.156652 | ||||||||
\(653\) | 13.0000 | + | 13.0000i | 0.508729 | + | 0.508729i | 0.914136 | − | 0.405407i | \(-0.132870\pi\) |
−0.405407 | + | 0.914136i | \(0.632870\pi\) | |||||||
\(654\) | 18.0000 | 0.703856 | ||||||||
\(655\) | 20.0000 | + | 40.0000i | 0.781465 | + | 1.56293i | ||||
\(656\) | 7.00000 | + | 7.00000i | 0.273304 | + | 0.273304i | ||||
\(657\) | 10.0000i | 0.390137i | ||||||||
\(658\) | 12.0000 | 0.467809 | ||||||||
\(659\) | − | 26.0000i | − | 1.01282i | −0.862294 | − | 0.506408i | \(-0.830973\pi\) | ||
0.862294 | − | 0.506408i | \(-0.169027\pi\) | |||||||
\(660\) | −2.00000 | − | 4.00000i | −0.0778499 | − | 0.155700i | ||||
\(661\) | 17.0000 | − | 17.0000i | 0.661223 | − | 0.661223i | −0.294445 | − | 0.955668i | \(-0.595135\pi\) |
0.955668 | + | 0.294445i | \(0.0951348\pi\) | |||||||
\(662\) | −3.00000 | − | 3.00000i | −0.116598 | − | 0.116598i | ||||
\(663\) | 4.00000 | + | 6.00000i | 0.155347 | + | 0.233021i | ||||
\(664\) | − | 18.0000i | − | 0.698535i | ||||||
\(665\) | −10.0000 | + | 30.0000i | −0.387783 | + | 1.16335i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | − | 18.0000i | − | 0.696441i | ||||||
\(669\) | −2.00000 | + | 2.00000i | −0.0773245 | + | 0.0773245i | ||||
\(670\) | 4.00000 | + | 8.00000i | 0.154533 | + | 0.309067i | ||||
\(671\) | 14.0000 | − | 14.0000i | 0.540464 | − | 0.540464i | ||||
\(672\) | −10.0000 | + | 10.0000i | −0.385758 | + | 0.385758i | ||||
\(673\) | −15.0000 | + | 15.0000i | −0.578208 | + | 0.578208i | −0.934409 | − | 0.356202i | \(-0.884072\pi\) |
0.356202 | + | 0.934409i | \(0.384072\pi\) | |||||||
\(674\) | 13.0000 | + | 13.0000i | 0.500741 | + | 0.500741i | ||||
\(675\) | 4.00000 | + | 28.0000i | 0.153960 | + | 1.07772i | ||||
\(676\) | −5.00000 | + | 12.0000i | −0.192308 | + | 0.461538i | ||||
\(677\) | −23.0000 | + | 23.0000i | −0.883962 | + | 0.883962i | −0.993935 | − | 0.109973i | \(-0.964924\pi\) |
0.109973 | + | 0.993935i | \(0.464924\pi\) | |||||||
\(678\) | 10.0000i | 0.384048i | ||||||||
\(679\) | 4.00000i | 0.153506i | ||||||||
\(680\) | −3.00000 | + | 9.00000i | −0.115045 | + | 0.345134i | ||||
\(681\) | −12.0000 | − | 12.0000i | −0.459841 | − | 0.459841i | ||||
\(682\) | −10.0000 | −0.382920 | ||||||||
\(683\) | −12.0000 | −0.459167 | −0.229584 | − | 0.973289i | \(-0.573736\pi\) | ||||
−0.229584 | + | 0.973289i | \(0.573736\pi\) | |||||||
\(684\) | −5.00000 | − | 5.00000i | −0.191180 | − | 0.191180i | ||||
\(685\) | 32.0000 | − | 16.0000i | 1.22266 | − | 0.611329i | ||||
\(686\) | 20.0000i | 0.763604i | ||||||||
\(687\) | − | 6.00000i | − | 0.228914i | ||||||
\(688\) | 1.00000 | − | 1.00000i | 0.0381246 | − | 0.0381246i | ||||
\(689\) | 25.0000 | + | 5.00000i | 0.952424 | + | 0.190485i | ||||
\(690\) | −6.00000 | − | 12.0000i | −0.228416 | − | 0.456832i | ||||
\(691\) | −3.00000 | − | 3.00000i | −0.114125 | − | 0.114125i | 0.647738 | − | 0.761863i | \(-0.275715\pi\) |
−0.761863 | + | 0.647738i | \(0.775715\pi\) | |||||||
\(692\) | 11.0000 | − | 11.0000i | 0.418157 | − | 0.418157i | ||||
\(693\) | −2.00000 | + | 2.00000i | −0.0759737 | + | 0.0759737i | ||||
\(694\) | 3.00000 | − | 3.00000i | 0.113878 | − | 0.113878i | ||||
\(695\) | 28.0000 | − | 14.0000i | 1.06210 | − | 0.531050i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 14.0000i | − | 0.530288i | ||||||
\(698\) | 9.00000 | + | 9.00000i | 0.340655 | + | 0.340655i | ||||
\(699\) | 2.00000 | 0.0756469 | ||||||||
\(700\) | 8.00000 | + | 6.00000i | 0.302372 | + | 0.226779i | ||||
\(701\) | − | 12.0000i | − | 0.453234i | −0.973984 | − | 0.226617i | \(-0.927233\pi\) | ||
0.973984 | − | 0.226617i | \(-0.0727665\pi\) | |||||||
\(702\) | 4.00000 | − | 20.0000i | 0.150970 | − | 0.754851i | ||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −7.00000 | + | 7.00000i | −0.263822 | + | 0.263822i | ||||
\(705\) | −18.0000 | − | 6.00000i | −0.677919 | − | 0.225973i | ||||
\(706\) | − | 12.0000i | − | 0.451626i | ||||||
\(707\) | 24.0000 | 0.902613 | ||||||||
\(708\) | 14.0000i | 0.526152i | ||||||||
\(709\) | 29.0000 | + | 29.0000i | 1.08912 | + | 1.08912i | 0.995619 | + | 0.0934984i | \(0.0298050\pi\) |
0.0934984 | + | 0.995619i | \(0.470195\pi\) | |||||||
\(710\) | 1.00000 | − | 3.00000i | 0.0375293 | − | 0.112588i | ||||
\(711\) | 2.00000 | 0.0750059 | ||||||||
\(712\) | −15.0000 | − | 15.0000i | −0.562149 | − | 0.562149i | ||||
\(713\) | 30.0000 | 1.12351 | ||||||||
\(714\) | −4.00000 | −0.149696 | ||||||||
\(715\) | 11.0000 | − | 3.00000i | 0.411377 | − | 0.112194i | ||||
\(716\) | 20.0000 | 0.747435 | ||||||||
\(717\) | 6.00000 | 0.224074 | ||||||||
\(718\) | 1.00000 | + | 1.00000i | 0.0373197 | + | 0.0373197i | ||||
\(719\) | −8.00000 | −0.298350 | −0.149175 | − | 0.988811i | \(-0.547662\pi\) | ||||
−0.149175 | + | 0.988811i | \(0.547662\pi\) | |||||||
\(720\) | 2.00000 | − | 1.00000i | 0.0745356 | − | 0.0372678i | ||||
\(721\) | 14.0000 | + | 14.0000i | 0.521387 | + | 0.521387i | ||||
\(722\) | − | 31.0000i | − | 1.15370i | ||||||
\(723\) | 34.0000 | 1.26447 | ||||||||
\(724\) | − | 8.00000i | − | 0.297318i | ||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −9.00000 | + | 9.00000i | −0.334021 | + | 0.334021i | ||||
\(727\) | −35.0000 | − | 35.0000i | −1.29808 | − | 1.29808i | −0.929660 | − | 0.368418i | \(-0.879900\pi\) |
−0.368418 | − | 0.929660i | \(-0.620100\pi\) | |||||||
\(728\) | −12.0000 | − | 18.0000i | −0.444750 | − | 0.667124i | ||||
\(729\) | − | 29.0000i | − | 1.07407i | ||||||
\(730\) | 10.0000 | + | 20.0000i | 0.370117 | + | 0.740233i | ||||
\(731\) | −2.00000 | −0.0739727 | ||||||||
\(732\) | 14.0000 | + | 14.0000i | 0.517455 | + | 0.517455i | ||||
\(733\) | − | 4.00000i | − | 0.147743i | −0.997268 | − | 0.0738717i | \(-0.976464\pi\) | ||
0.997268 | − | 0.0738717i | \(-0.0235355\pi\) | |||||||
\(734\) | −1.00000 | + | 1.00000i | −0.0369107 | + | 0.0369107i | ||||
\(735\) | 3.00000 | − | 9.00000i | 0.110657 | − | 0.331970i | ||||
\(736\) | 15.0000 | − | 15.0000i | 0.552907 | − | 0.552907i | ||||
\(737\) | 4.00000 | − | 4.00000i | 0.147342 | − | 0.147342i | ||||
\(738\) | −7.00000 | + | 7.00000i | −0.257674 | + | 0.257674i | ||||
\(739\) | −3.00000 | − | 3.00000i | −0.110357 | − | 0.110357i | 0.649772 | − | 0.760129i | \(-0.274864\pi\) |
−0.760129 | + | 0.649772i | \(0.774864\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −30.0000 | + | 20.0000i | −1.10208 | + | 0.734718i | ||||
\(742\) | −10.0000 | + | 10.0000i | −0.367112 | + | 0.367112i | ||||
\(743\) | 34.0000i | 1.24734i | 0.781688 | + | 0.623670i | \(0.214359\pi\) | ||||
−0.781688 | + | 0.623670i | \(0.785641\pi\) | |||||||
\(744\) | − | 30.0000i | − | 1.09985i | ||||||
\(745\) | 9.00000 | + | 3.00000i | 0.329734 | + | 0.109911i | ||||
\(746\) | −15.0000 | − | 15.0000i | −0.549189 | − | 0.549189i | ||||
\(747\) | 6.00000 | 0.219529 | ||||||||
\(748\) | 2.00000 | 0.0731272 | ||||||||
\(749\) | 14.0000 | + | 14.0000i | 0.511549 | + | 0.511549i | ||||
\(750\) | 9.00000 | + | 13.0000i | 0.328634 | + | 0.474693i | ||||
\(751\) | 50.0000i | 1.82453i | 0.409605 | + | 0.912263i | \(0.365667\pi\) | ||||
−0.409605 | + | 0.912263i | \(0.634333\pi\) | |||||||
\(752\) | 6.00000i | 0.218797i | ||||||||
\(753\) | 2.00000 | − | 2.00000i | 0.0728841 | − | 0.0728841i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −21.0000 | − | 7.00000i | −0.764268 | − | 0.254756i | ||||
\(756\) | −8.00000 | − | 8.00000i | −0.290957 | − | 0.290957i | ||||
\(757\) | −35.0000 | + | 35.0000i | −1.27210 | + | 1.27210i | −0.327111 | + | 0.944986i | \(0.606075\pi\) |
−0.944986 | + | 0.327111i | \(0.893925\pi\) | |||||||
\(758\) | −1.00000 | + | 1.00000i | −0.0363216 | + | 0.0363216i | ||||
\(759\) | −6.00000 | + | 6.00000i | −0.217786 | + | 0.217786i | ||||
\(760\) | −45.0000 | − | 15.0000i | −1.63232 | − | 0.544107i | ||||
\(761\) | −7.00000 | + | 7.00000i | −0.253750 | + | 0.253750i | −0.822506 | − | 0.568756i | \(-0.807425\pi\) |
0.568756 | + | 0.822506i | \(0.307425\pi\) | |||||||
\(762\) | 18.0000i | 0.652071i | ||||||||
\(763\) | 18.0000 | + | 18.0000i | 0.651644 | + | 0.651644i | ||||
\(764\) | −8.00000 | −0.289430 | ||||||||
\(765\) | −3.00000 | − | 1.00000i | −0.108465 | − | 0.0361551i | ||||
\(766\) | − | 30.0000i | − | 1.08394i | ||||||
\(767\) | −35.0000 | − | 7.00000i | −1.26378 | − | 0.252755i | ||||
\(768\) | −17.0000 | − | 17.0000i | −0.613435 | − | 0.613435i | ||||
\(769\) | −15.0000 | + | 15.0000i | −0.540914 | + | 0.540914i | −0.923797 | − | 0.382883i | \(-0.874931\pi\) |
0.382883 | + | 0.923797i | \(0.374931\pi\) | |||||||
\(770\) | −2.00000 | + | 6.00000i | −0.0720750 | + | 0.216225i | ||||
\(771\) | − | 22.0000i | − | 0.792311i | ||||||
\(772\) | −18.0000 | −0.647834 | ||||||||
\(773\) | − | 32.0000i | − | 1.15096i | −0.817816 | − | 0.575480i | \(-0.804815\pi\) | ||
0.817816 | − | 0.575480i | \(-0.195185\pi\) | |||||||
\(774\) | 1.00000 | + | 1.00000i | 0.0359443 | + | 0.0359443i | ||||
\(775\) | −35.0000 | + | 5.00000i | −1.25724 | + | 0.179605i | ||||
\(776\) | −6.00000 | −0.215387 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −18.0000 | −0.645331 | ||||||||
\(779\) | 70.0000 | 2.50801 | ||||||||
\(780\) | 3.00000 | + | 11.0000i | 0.107417 | + | 0.393863i | ||||
\(781\) | −2.00000 | −0.0715656 | ||||||||
\(782\) | 6.00000 | 0.214560 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.00000 | −0.107143 | ||||||||
\(785\) | −39.0000 | − | 13.0000i | −1.39197 | − | 0.463990i | ||||
\(786\) | −20.0000 | − | 20.0000i | −0.713376 | − | 0.713376i | ||||
\(787\) | 22.0000i | 0.784215i | 0.919919 | + | 0.392108i | \(0.128254\pi\) | ||||
−0.919919 | + | 0.392108i | \(0.871746\pi\) | |||||||
\(788\) | −6.00000 | −0.213741 | ||||||||
\(789\) | 2.00000i | 0.0712019i | ||||||||
\(790\) | 4.00000 | − | 2.00000i | 0.142314 | − | 0.0711568i | ||||
\(791\) | −10.0000 | + | 10.0000i | −0.355559 | + | 0.355559i | ||||
\(792\) | −3.00000 | − | 3.00000i | −0.106600 | − | 0.106600i | ||||
\(793\) | −42.0000 | + | 28.0000i | −1.49146 | + | 0.994309i | ||||
\(794\) | − | 16.0000i | − | 0.567819i | ||||||
\(795\) | 20.0000 | − | 10.0000i | 0.709327 | − | 0.354663i | ||||
\(796\) | 8.00000 | 0.283552 | ||||||||
\(797\) | 17.0000 | + | 17.0000i | 0.602171 | + | 0.602171i | 0.940888 | − | 0.338717i | \(-0.109993\pi\) |
−0.338717 | + | 0.940888i | \(0.609993\pi\) | |||||||
\(798\) | − | 20.0000i | − | 0.707992i | ||||||
\(799\) | 6.00000 | − | 6.00000i | 0.212265 | − | 0.212265i | ||||
\(800\) | −15.0000 | + | 20.0000i | −0.530330 | + | 0.707107i | ||||
\(801\) | 5.00000 | − | 5.00000i | 0.176666 | − | 0.176666i | ||||
\(802\) | −11.0000 | + | 11.0000i | −0.388424 | + | 0.388424i | ||||
\(803\) | 10.0000 | − | 10.0000i | 0.352892 | − | 0.352892i | ||||
\(804\) | 4.00000 | + | 4.00000i | 0.141069 | + | 0.141069i | ||||
\(805\) | 6.00000 | − | 18.0000i | 0.211472 | − | 0.634417i | ||||
\(806\) | 25.0000 | + | 5.00000i | 0.880587 | + | 0.176117i | ||||
\(807\) | 12.0000 | − | 12.0000i | 0.422420 | − | 0.422420i | ||||
\(808\) | 36.0000i | 1.26648i | ||||||||
\(809\) | − | 28.0000i | − | 0.984428i | −0.870474 | − | 0.492214i | \(-0.836188\pi\) | ||
0.870474 | − | 0.492214i | \(-0.163812\pi\) | |||||||
\(810\) | −5.00000 | − | 10.0000i | −0.175682 | − | 0.351364i | ||||
\(811\) | −27.0000 | − | 27.0000i | −0.948098 | − | 0.948098i | 0.0506198 | − | 0.998718i | \(-0.483880\pi\) |
−0.998718 | + | 0.0506198i | \(0.983880\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −18.0000 | −0.631288 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −4.00000 | − | 8.00000i | −0.140114 | − | 0.280228i | ||||
\(816\) | − | 2.00000i | − | 0.0700140i | ||||||
\(817\) | − | 10.0000i | − | 0.349856i | ||||||
\(818\) | −7.00000 | + | 7.00000i | −0.244749 | + | 0.244749i | ||||
\(819\) | 6.00000 | − | 4.00000i | 0.209657 | − | 0.139771i | ||||
\(820\) | 7.00000 | − | 21.0000i | 0.244451 | − | 0.733352i | ||||
\(821\) | 9.00000 | + | 9.00000i | 0.314102 | + | 0.314102i | 0.846496 | − | 0.532394i | \(-0.178708\pi\) |
−0.532394 | + | 0.846496i | \(0.678708\pi\) | |||||||
\(822\) | −16.0000 | + | 16.0000i | −0.558064 | + | 0.558064i | ||||
\(823\) | −9.00000 | + | 9.00000i | −0.313720 | + | 0.313720i | −0.846349 | − | 0.532629i | \(-0.821204\pi\) |
0.532629 | + | 0.846349i | \(0.321204\pi\) | |||||||
\(824\) | −21.0000 | + | 21.0000i | −0.731570 | + | 0.731570i | ||||
\(825\) | 6.00000 | − | 8.00000i | 0.208893 | − | 0.278524i | ||||
\(826\) | 14.0000 | − | 14.0000i | 0.487122 | − | 0.487122i | ||||
\(827\) | 46.0000i | 1.59958i | 0.600282 | + | 0.799788i | \(0.295055\pi\) | ||||
−0.600282 | + | 0.799788i | \(0.704945\pi\) | |||||||
\(828\) | 3.00000 | + | 3.00000i | 0.104257 | + | 0.104257i | ||||
\(829\) | 34.0000 | 1.18087 | 0.590434 | − | 0.807086i | \(-0.298956\pi\) | ||||
0.590434 | + | 0.807086i | \(0.298956\pi\) | |||||||
\(830\) | 12.0000 | − | 6.00000i | 0.416526 | − | 0.208263i | ||||
\(831\) | − | 30.0000i | − | 1.04069i | ||||||
\(832\) | 21.0000 | − | 14.0000i | 0.728044 | − | 0.485363i | ||||
\(833\) | 3.00000 | + | 3.00000i | 0.103944 | + | 0.103944i | ||||
\(834\) | −14.0000 | + | 14.0000i | −0.484780 | + | 0.484780i | ||||
\(835\) | 36.0000 | − | 18.0000i | 1.24583 | − | 0.622916i | ||||
\(836\) | 10.0000i | 0.345857i | ||||||||
\(837\) | 40.0000 | 1.38260 | ||||||||
\(838\) | 38.0000i | 1.31269i | ||||||||
\(839\) | −35.0000 | − | 35.0000i | −1.20833 | − | 1.20833i | −0.971566 | − | 0.236768i | \(-0.923912\pi\) |
−0.236768 | − | 0.971566i | \(-0.576088\pi\) | |||||||
\(840\) | −18.0000 | − | 6.00000i | −0.621059 | − | 0.207020i | ||||
\(841\) | 29.0000 | 1.00000 | ||||||||
\(842\) | −11.0000 | − | 11.0000i | −0.379085 | − | 0.379085i | ||||
\(843\) | 2.00000 | 0.0688837 | ||||||||
\(844\) | −4.00000 | −0.137686 | ||||||||
\(845\) | −29.0000 | + | 2.00000i | −0.997630 | + | 0.0688021i | ||||
\(846\) | −6.00000 | −0.206284 | ||||||||
\(847\) | −18.0000 | −0.618487 | ||||||||
\(848\) | −5.00000 | − | 5.00000i | −0.171701 | − | 0.171701i | ||||
\(849\) | −18.0000 | −0.617758 | ||||||||
\(850\) | −7.00000 | + | 1.00000i | −0.240098 | + | 0.0342997i | ||||
\(851\) | 0 | 0 | ||||||||
\(852\) | − | 2.00000i | − | 0.0685189i | ||||||
\(853\) | 26.0000 | 0.890223 | 0.445112 | − | 0.895475i | \(-0.353164\pi\) | ||||
0.445112 | + | 0.895475i | \(0.353164\pi\) | |||||||
\(854\) | − | 28.0000i | − | 0.958140i | ||||||
\(855\) | 5.00000 | − | 15.0000i | 0.170996 | − | 0.512989i | ||||
\(856\) | −21.0000 | + | 21.0000i | −0.717765 | + | 0.717765i | ||||
\(857\) | −3.00000 | − | 3.00000i | −0.102478 | − | 0.102478i | 0.654009 | − | 0.756487i | \(-0.273086\pi\) |
−0.756487 | + | 0.654009i | \(0.773086\pi\) | |||||||
\(858\) | −6.00000 | + | 4.00000i | −0.204837 | + | 0.136558i | ||||
\(859\) | 30.0000i | 1.02359i | 0.859109 | + | 0.511793i | \(0.171019\pi\) | ||||
−0.859109 | + | 0.511793i | \(0.828981\pi\) | |||||||
\(860\) | −3.00000 | − | 1.00000i | −0.102299 | − | 0.0340997i | ||||
\(861\) | 28.0000 | 0.954237 | ||||||||
\(862\) | 13.0000 | + | 13.0000i | 0.442782 | + | 0.442782i | ||||
\(863\) | − | 30.0000i | − | 1.02121i | −0.859815 | − | 0.510606i | \(-0.829421\pi\) | ||
0.859815 | − | 0.510606i | \(-0.170579\pi\) | |||||||
\(864\) | 20.0000 | − | 20.0000i | 0.680414 | − | 0.680414i | ||||
\(865\) | 33.0000 | + | 11.0000i | 1.12203 | + | 0.374011i | ||||
\(866\) | 17.0000 | − | 17.0000i | 0.577684 | − | 0.577684i | ||||
\(867\) | 15.0000 | − | 15.0000i | 0.509427 | − | 0.509427i | ||||
\(868\) | 10.0000 | − | 10.0000i | 0.339422 | − | 0.339422i | ||||
\(869\) | −2.00000 | − | 2.00000i | −0.0678454 | − | 0.0678454i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −12.0000 | + | 8.00000i | −0.406604 | + | 0.271070i | ||||
\(872\) | −27.0000 | + | 27.0000i | −0.914335 | + | 0.914335i | ||||
\(873\) | − | 2.00000i | − | 0.0676897i | ||||||
\(874\) | 30.0000i | 1.01477i | ||||||||
\(875\) | −4.00000 | + | 22.0000i | −0.135225 | + | 0.743736i | ||||
\(876\) | 10.0000 | + | 10.0000i | 0.337869 | + | 0.337869i | ||||
\(877\) | 38.0000 | 1.28317 | 0.641584 | − | 0.767052i | \(-0.278277\pi\) | ||||
0.641584 | + | 0.767052i | \(0.278277\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −6.00000 | − | 6.00000i | −0.202375 | − | 0.202375i | ||||
\(880\) | −3.00000 | − | 1.00000i | −0.101130 | − | 0.0337100i | ||||
\(881\) | 52.0000i | 1.75192i | 0.482380 | + | 0.875962i | \(0.339773\pi\) | ||||
−0.482380 | + | 0.875962i | \(0.660227\pi\) | |||||||
\(882\) | − | 3.00000i | − | 0.101015i | ||||||
\(883\) | 39.0000 | − | 39.0000i | 1.31245 | − | 1.31245i | 0.392853 | − | 0.919601i | \(-0.371488\pi\) |
0.919601 | − | 0.392853i | \(-0.128512\pi\) | |||||||
\(884\) | −5.00000 | − | 1.00000i | −0.168168 | − | 0.0336336i | ||||
\(885\) | −28.0000 | + | 14.0000i | −0.941210 | + | 0.470605i | ||||
\(886\) | 25.0000 | + | 25.0000i | 0.839891 | + | 0.839891i | ||||
\(887\) | −1.00000 | + | 1.00000i | −0.0335767 | + | 0.0335767i | −0.723696 | − | 0.690119i | \(-0.757558\pi\) |
0.690119 | + | 0.723696i | \(0.257558\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −18.0000 | + | 18.0000i | −0.603701 | + | 0.603701i | ||||
\(890\) | 5.00000 | − | 15.0000i | 0.167600 | − | 0.502801i | ||||
\(891\) | −5.00000 | + | 5.00000i | −0.167506 | + | 0.167506i | ||||
\(892\) | − | 2.00000i | − | 0.0669650i | ||||||
\(893\) | 30.0000 | + | 30.0000i | 1.00391 | + | 1.00391i | ||||
\(894\) | −6.00000 | −0.200670 | ||||||||
\(895\) | 20.0000 | + | 40.0000i | 0.668526 | + | 1.33705i | ||||
\(896\) | − | 6.00000i | − | 0.200446i | ||||||
\(897\) | 18.0000 | − | 12.0000i | 0.601003 | − | 0.400668i | ||||
\(898\) | −3.00000 | − | 3.00000i | −0.100111 | − | 0.100111i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −4.00000 | − | 3.00000i | −0.133333 | − | 0.100000i | ||||
\(901\) | 10.0000i | 0.333148i | ||||||||
\(902\) | 14.0000 | 0.466149 | ||||||||
\(903\) | − | 4.00000i | − | 0.133112i | ||||||
\(904\) | −15.0000 | − | 15.0000i | −0.498893 | − | 0.498893i | ||||
\(905\) | 16.0000 | − | 8.00000i | 0.531858 | − | 0.265929i | ||||
\(906\) | 14.0000 | 0.465119 | ||||||||
\(907\) | −39.0000 | − | 39.0000i | −1.29497 | − | 1.29497i | −0.931671 | − | 0.363303i | \(-0.881649\pi\) |
−0.363303 | − | 0.931671i | \(-0.618351\pi\) | |||||||
\(908\) | 12.0000 | 0.398234 | ||||||||
\(909\) | −12.0000 | −0.398015 | ||||||||
\(910\) | 8.00000 | − | 14.0000i | 0.265197 | − | 0.464095i | ||||
\(911\) | 24.0000 | 0.795155 | 0.397578 | − | 0.917568i | \(-0.369851\pi\) | ||||
0.397578 | + | 0.917568i | \(0.369851\pi\) | |||||||
\(912\) | 10.0000 | 0.331133 | ||||||||
\(913\) | −6.00000 | − | 6.00000i | −0.198571 | − | 0.198571i | ||||
\(914\) | 2.00000 | 0.0661541 | ||||||||
\(915\) | −14.0000 | + | 42.0000i | −0.462826 | + | 1.38848i | ||||
\(916\) | 3.00000 | + | 3.00000i | 0.0991228 | + | 0.0991228i | ||||
\(917\) | − | 40.0000i | − | 1.32092i | ||||||
\(918\) | 8.00000 | 0.264039 | ||||||||
\(919\) | 10.0000i | 0.329870i | 0.986304 | + | 0.164935i | \(0.0527414\pi\) | ||||
−0.986304 | + | 0.164935i | \(0.947259\pi\) | |||||||
\(920\) | 27.0000 | + | 9.00000i | 0.890164 | + | 0.296721i | ||||
\(921\) | 18.0000 | − | 18.0000i | 0.593120 | − | 0.593120i | ||||
\(922\) | 17.0000 | + | 17.0000i | 0.559865 | + | 0.559865i | ||||
\(923\) | 5.00000 | + | 1.00000i | 0.164577 | + | 0.0329154i | ||||
\(924\) | 4.00000i | 0.131590i | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −24.0000 | −0.788689 | ||||||||
\(927\) | −7.00000 | − | 7.00000i | −0.229910 | − | 0.229910i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −19.0000 | + | 19.0000i | −0.623370 | + | 0.623370i | −0.946392 | − | 0.323022i | \(-0.895301\pi\) |
0.323022 | + | 0.946392i | \(0.395301\pi\) | |||||||
\(930\) | 20.0000 | − | 10.0000i | 0.655826 | − | 0.327913i | ||||
\(931\) | −15.0000 | + | 15.0000i | −0.491605 | + | 0.491605i | ||||
\(932\) | −1.00000 | + | 1.00000i | −0.0327561 | + | 0.0327561i | ||||
\(933\) | 6.00000 | − | 6.00000i | 0.196431 | − | 0.196431i | ||||
\(934\) | 9.00000 | + | 9.00000i | 0.294489 | + | 0.294489i | ||||
\(935\) | 2.00000 | + | 4.00000i | 0.0654070 | + | 0.130814i | ||||
\(936\) | 6.00000 | + | 9.00000i | 0.196116 | + | 0.294174i | ||||
\(937\) | −7.00000 | + | 7.00000i | −0.228680 | + | 0.228680i | −0.812141 | − | 0.583461i | \(-0.801698\pi\) |
0.583461 | + | 0.812141i | \(0.301698\pi\) | |||||||
\(938\) | − | 8.00000i | − | 0.261209i | ||||||
\(939\) | 18.0000i | 0.587408i | ||||||||
\(940\) | 12.0000 | − | 6.00000i | 0.391397 | − | 0.195698i | ||||
\(941\) | 21.0000 | + | 21.0000i | 0.684580 | + | 0.684580i | 0.961029 | − | 0.276448i | \(-0.0891575\pi\) |
−0.276448 | + | 0.961029i | \(0.589157\pi\) | |||||||
\(942\) | 26.0000 | 0.847126 | ||||||||
\(943\) | −42.0000 | −1.36771 | ||||||||
\(944\) | 7.00000 | + | 7.00000i | 0.227831 | + | 0.227831i | ||||
\(945\) | 8.00000 | − | 24.0000i | 0.260240 | − | 0.780720i | ||||
\(946\) | − | 2.00000i | − | 0.0650256i | ||||||
\(947\) | − | 18.0000i | − | 0.584921i | −0.956278 | − | 0.292461i | \(-0.905526\pi\) | ||
0.956278 | − | 0.292461i | \(-0.0944741\pi\) | |||||||
\(948\) | 2.00000 | − | 2.00000i | 0.0649570 | − | 0.0649570i | ||||
\(949\) | −30.0000 | + | 20.0000i | −0.973841 | + | 0.649227i | ||||
\(950\) | −5.00000 | − | 35.0000i | −0.162221 | − | 1.13555i | ||||
\(951\) | −14.0000 | − | 14.0000i | −0.453981 | − | 0.453981i | ||||
\(952\) | 6.00000 | − | 6.00000i | 0.194461 | − | 0.194461i | ||||
\(953\) | 13.0000 | − | 13.0000i | 0.421111 | − | 0.421111i | −0.464475 | − | 0.885586i | \(-0.653757\pi\) |
0.885586 | + | 0.464475i | \(0.153757\pi\) | |||||||
\(954\) | 5.00000 | − | 5.00000i | 0.161881 | − | 0.161881i | ||||
\(955\) | −8.00000 | − | 16.0000i | −0.258874 | − | 0.517748i | ||||
\(956\) | −3.00000 | + | 3.00000i | −0.0970269 | + | 0.0970269i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −7.00000 | − | 7.00000i | −0.226160 | − | 0.226160i | ||||
\(959\) | −32.0000 | −1.03333 | ||||||||
\(960\) | 7.00000 | − | 21.0000i | 0.225924 | − | 0.677772i | ||||
\(961\) | 19.0000i | 0.612903i | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −7.00000 | − | 7.00000i | −0.225572 | − | 0.225572i | ||||
\(964\) | −17.0000 | + | 17.0000i | −0.547533 | + | 0.547533i | ||||
\(965\) | −18.0000 | − | 36.0000i | −0.579441 | − | 1.15888i | ||||
\(966\) | 12.0000i | 0.386094i | ||||||||
\(967\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(968\) | − | 27.0000i | − | 0.867813i | ||||||
\(969\) | −10.0000 | − | 10.0000i | −0.321246 | − | 0.321246i | ||||
\(970\) | −2.00000 | − | 4.00000i | −0.0642161 | − | 0.128432i | ||||
\(971\) | −60.0000 | −1.92549 | −0.962746 | − | 0.270408i | \(-0.912841\pi\) | ||||
−0.962746 | + | 0.270408i | \(0.912841\pi\) | |||||||
\(972\) | 7.00000 | + | 7.00000i | 0.224525 | + | 0.224525i | ||||
\(973\) | −28.0000 | −0.897639 | ||||||||
\(974\) | 16.0000 | 0.512673 | ||||||||
\(975\) | −19.0000 | + | 17.0000i | −0.608487 | + | 0.544436i | ||||
\(976\) | 14.0000 | 0.448129 | ||||||||
\(977\) | 62.0000 | 1.98356 | 0.991778 | − | 0.127971i | \(-0.0408466\pi\) | ||||
0.991778 | + | 0.127971i | \(0.0408466\pi\) | |||||||
\(978\) | 4.00000 | + | 4.00000i | 0.127906 | + | 0.127906i | ||||
\(979\) | −10.0000 | −0.319601 | ||||||||
\(980\) | 3.00000 | + | 6.00000i | 0.0958315 | + | 0.191663i | ||||
\(981\) | −9.00000 | − | 9.00000i | −0.287348 | − | 0.287348i | ||||
\(982\) | 22.0000i | 0.702048i | ||||||||
\(983\) | −24.0000 | −0.765481 | −0.382741 | − | 0.923856i | \(-0.625020\pi\) | ||||
−0.382741 | + | 0.923856i | \(0.625020\pi\) | |||||||
\(984\) | 42.0000i | 1.33891i | ||||||||
\(985\) | −6.00000 | − | 12.0000i | −0.191176 | − | 0.382352i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 12.0000 | + | 12.0000i | 0.381964 | + | 0.381964i | ||||
\(988\) | 5.00000 | − | 25.0000i | 0.159071 | − | 0.795356i | ||||
\(989\) | 6.00000i | 0.190789i | ||||||||
\(990\) | 1.00000 | − | 3.00000i | 0.0317821 | − | 0.0953463i | ||||
\(991\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(992\) | 25.0000 | + | 25.0000i | 0.793751 | + | 0.793751i | ||||
\(993\) | − | 6.00000i | − | 0.190404i | ||||||
\(994\) | −2.00000 | + | 2.00000i | −0.0634361 | + | 0.0634361i | ||||
\(995\) | 8.00000 | + | 16.0000i | 0.253617 | + | 0.507234i | ||||
\(996\) | 6.00000 | − | 6.00000i | 0.190117 | − | 0.190117i | ||||
\(997\) | 9.00000 | − | 9.00000i | 0.285033 | − | 0.285033i | −0.550079 | − | 0.835112i | \(-0.685403\pi\) |
0.835112 | + | 0.550079i | \(0.185403\pi\) | |||||||
\(998\) | 3.00000 | − | 3.00000i | 0.0949633 | − | 0.0949633i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))