Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(17,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.x (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 17.2 | ||
Character | \(\chi\) | \(=\) | 300.17 |
Dual form | 300.2.x.a.53.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.58605 | + | 0.696021i | −0.915706 | + | 0.401848i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.99640 | − | 1.00718i | −0.892815 | − | 0.450423i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.814380 | + | 0.814380i | 0.307807 | + | 0.307807i | 0.844058 | − | 0.536252i | \(-0.180160\pi\) |
−0.536252 | + | 0.844058i | \(0.680160\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.03111 | − | 2.20785i | 0.677036 | − | 0.735950i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.46407 | − | 1.12554i | 1.04446 | − | 0.339364i | 0.263965 | − | 0.964532i | \(-0.414970\pi\) |
0.780490 | + | 0.625168i | \(0.214970\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.63271 | − | 5.16697i | −0.730181 | − | 1.43306i | −0.894691 | − | 0.446686i | \(-0.852604\pi\) |
0.164510 | − | 0.986375i | \(-0.447396\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.86740 | + | 0.207896i | 0.998558 | + | 0.0536785i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.902627 | + | 0.142962i | −0.218919 | + | 0.0346734i | −0.264930 | − | 0.964268i | \(-0.585349\pi\) |
0.0460112 | + | 0.998941i | \(0.485349\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.29919 | − | 5.91733i | 0.986302 | − | 1.35753i | 0.0529373 | − | 0.998598i | \(-0.483142\pi\) |
0.933364 | − | 0.358930i | \(-0.116858\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.85847 | − | 0.724821i | −0.405552 | − | 0.158169i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.05909 | − | 6.00381i | 0.637865 | − | 1.25188i | −0.315174 | − | 0.949034i | \(-0.602063\pi\) |
0.953039 | − | 0.302847i | \(-0.0979372\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.97120 | + | 4.02144i | 0.594239 | + | 0.804289i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.68473 | + | 4.91545i | −0.324226 | + | 0.945980i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.30536 | + | 3.12803i | −0.799486 | + | 0.580861i | −0.910763 | − | 0.412929i | \(-0.864506\pi\) |
0.111277 | + | 0.993789i | \(0.464506\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.78920 | − | 1.29993i | −0.321350 | − | 0.233475i | 0.415401 | − | 0.909638i | \(-0.363641\pi\) |
−0.736751 | + | 0.676164i | \(0.763641\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.71078 | + | 4.19623i | −0.820041 | + | 0.730470i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.805601 | − | 2.44605i | −0.136171 | − | 0.413458i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.74637 | − | 1.39935i | 0.451501 | − | 0.230051i | −0.213427 | − | 0.976959i | \(-0.568462\pi\) |
0.664927 | + | 0.746908i | \(0.268462\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 7.77193 | + | 6.36266i | 1.24450 | + | 1.01884i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.66555 | + | 0.866089i | 0.416289 | + | 0.135260i | 0.509670 | − | 0.860370i | \(-0.329768\pi\) |
−0.0933813 | + | 0.995630i | \(0.529768\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.01283 | + | 3.01283i | −0.459453 | + | 0.459453i | −0.898476 | − | 0.439023i | \(-0.855325\pi\) |
0.439023 | + | 0.898476i | \(0.355325\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −6.27859 | + | 2.36206i | −0.935957 | + | 0.352115i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.998165 | + | 6.30217i | −0.145597 | + | 0.919265i | 0.801424 | + | 0.598096i | \(0.204076\pi\) |
−0.947022 | + | 0.321169i | \(0.895924\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 5.67357i | − | 0.810510i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.33211 | − | 0.854993i | 0.186532 | − | 0.119723i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.04180 | − | 1.27370i | −1.10463 | − | 0.174956i | −0.422623 | − | 0.906305i | \(-0.638891\pi\) |
−0.682002 | + | 0.731350i | \(0.738891\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.04927 | − | 1.24189i | −1.08536 | − | 0.167457i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.70014 | + | 12.3775i | −0.357643 | + | 1.63944i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.98388 | − | 6.10574i | 0.258279 | − | 0.794900i | −0.734887 | − | 0.678189i | \(-0.762765\pi\) |
0.993166 | − | 0.116711i | \(-0.0372350\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.21356 | − | 12.9680i | −0.539492 | − | 1.66038i | −0.733739 | − | 0.679432i | \(-0.762226\pi\) |
0.194247 | − | 0.980953i | \(-0.437774\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.45212 | − | 0.143935i | 0.434926 | − | 0.0181341i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.0518720 | + | 12.9669i | 0.00643393 | + | 1.60835i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.976557 | + | 6.16574i | 0.119305 | + | 0.753265i | 0.972712 | + | 0.232018i | \(0.0745328\pi\) |
−0.853406 | + | 0.521247i | \(0.825467\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.673095 | + | 11.6515i | −0.0810311 | + | 1.40268i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.88318 | + | 8.09750i | 0.698205 | + | 0.960996i | 0.999971 | + | 0.00761427i | \(0.00242372\pi\) |
−0.301766 | + | 0.953382i | \(0.597576\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −8.26387 | − | 4.21065i | −0.967212 | − | 0.492819i | −0.102306 | − | 0.994753i | \(-0.532622\pi\) |
−0.864906 | + | 0.501934i | \(0.832622\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.51147 | − | 4.31019i | −0.867350 | − | 0.497698i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.73768 | + | 1.90445i | 0.425949 | + | 0.217032i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.29102 | + | 5.90609i | 0.482778 | + | 0.664487i | 0.979036 | − | 0.203689i | \(-0.0652930\pi\) |
−0.496258 | + | 0.868175i | \(0.665293\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.749199 | − | 8.96876i | −0.0832444 | − | 0.996529i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.190258 | − | 1.20124i | −0.0208835 | − | 0.131853i | 0.975044 | − | 0.222012i | \(-0.0712625\pi\) |
−0.995927 | + | 0.0901590i | \(0.971262\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.94599 | + | 0.623695i | 0.211072 | + | 0.0676492i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.65135 | − | 7.95784i | 0.498677 | − | 0.853170i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.41396 | + | 10.5071i | 0.361879 | + | 1.11375i | 0.951913 | + | 0.306369i | \(0.0991143\pi\) |
−0.590034 | + | 0.807378i | \(0.700886\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.06386 | − | 6.35190i | 0.216351 | − | 0.665860i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 3.74254 | + | 0.816433i | 0.388084 | + | 0.0846602i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −14.5427 | + | 7.48329i | −1.49205 | + | 0.767769i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.84712 | + | 0.609325i | 0.390616 | + | 0.0618675i | 0.348654 | − | 0.937252i | \(-0.386639\pi\) |
0.0419626 | + | 0.999119i | \(0.486639\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 4.55086 | − | 9.93423i | 0.457379 | − | 0.998428i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 1.83199i | − | 0.182290i | −0.995838 | − | 0.0911450i | \(-0.970947\pi\) | ||
0.995838 | − | 0.0911450i | \(-0.0290527\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.59260 | + | 10.0553i | −0.156923 | + | 0.990775i | 0.776009 | + | 0.630722i | \(0.217241\pi\) |
−0.932932 | + | 0.360053i | \(0.882759\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.98023 | + | 3.31884i | 0.290840 | + | 0.323885i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 12.7040 | − | 12.7040i | 1.22814 | − | 1.22814i | 0.263470 | − | 0.964668i | \(-0.415133\pi\) |
0.964668 | − | 0.263470i | \(-0.0848669\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.48884 | + | 2.43327i | 0.717301 | + | 0.233065i | 0.644853 | − | 0.764307i | \(-0.276919\pi\) |
0.0724482 | + | 0.997372i | \(0.476919\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.38191 | + | 4.13097i | −0.320996 | + | 0.392094i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 16.6927 | − | 8.50535i | 1.57032 | − | 0.800116i | 0.570540 | − | 0.821270i | \(-0.306734\pi\) |
0.999776 | + | 0.0211535i | \(0.00673389\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −12.1541 | + | 8.90494i | −1.13337 | + | 0.830390i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −16.7552 | − | 4.68207i | −1.54902 | − | 0.432857i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.851507 | − | 0.618656i | −0.0780575 | − | 0.0567121i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.83371 | − | 1.33227i | 0.166701 | − | 0.121116i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.83051 | + | 0.481618i | −0.435552 | + | 0.0434261i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.88138 | − | 11.0209i | −0.168276 | − | 0.985740i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.30459 | − | 6.48562i | 0.293235 | − | 0.575505i | −0.696645 | − | 0.717416i | \(-0.745325\pi\) |
0.989879 | + | 0.141911i | \(0.0453246\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.68151 | − | 6.87550i | 0.236094 | − | 0.605354i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.48009 | + | 4.78993i | −0.304057 | + | 0.418498i | −0.933516 | − | 0.358535i | \(-0.883276\pi\) |
0.629460 | + | 0.777033i | \(0.283276\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.32012 | − | 1.31778i | 0.721446 | − | 0.114266i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 8.31411 | − | 8.11638i | 0.715565 | − | 0.698547i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2.92241 | − | 5.73556i | −0.249679 | − | 0.490022i | 0.731818 | − | 0.681500i | \(-0.238672\pi\) |
−0.981497 | + | 0.191478i | \(0.938672\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.67670 | + | 0.869713i | −0.227035 | + | 0.0737681i | −0.420325 | − | 0.907373i | \(-0.638084\pi\) |
0.193290 | + | 0.981142i | \(0.438084\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.80330 | − | 10.6903i | −0.236081 | − | 0.900285i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −14.9355 | − | 14.9355i | −1.24897 | − | 1.24897i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.7457 | − | 1.90853i | 0.975426 | − | 0.158495i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.94893 | + | 8.99857i | 0.325702 | + | 0.742189i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −21.8247 | −1.78795 | −0.893974 | − | 0.448119i | \(-0.852094\pi\) | ||||
−0.893974 | + | 0.448119i | \(0.852094\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.79667 | −0.634484 | −0.317242 | − | 0.948345i | \(-0.602757\pi\) | ||||
−0.317242 | + | 0.948345i | \(0.602757\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.51770 | + | 2.28324i | −0.122698 | + | 0.184589i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.26270 | + | 4.39722i | 0.181744 | + | 0.353193i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.3925 | + | 10.3925i | 0.829410 | + | 0.829410i | 0.987435 | − | 0.158025i | \(-0.0505126\pi\) |
−0.158025 | + | 0.987435i | \(0.550513\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 13.6412 | − | 3.57712i | 1.08182 | − | 0.283684i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 7.38065 | − | 2.39812i | 0.581677 | − | 0.188998i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.53766 | + | 6.94305i | 0.277091 | + | 0.543822i | 0.987048 | − | 0.160423i | \(-0.0512859\pi\) |
−0.709957 | + | 0.704245i | \(0.751286\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 13.6309 | − | 3.63276i | 1.06117 | − | 0.282810i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.370295 | + | 0.0586489i | −0.0286543 | + | 0.00453839i | −0.170745 | − | 0.985315i | \(-0.554617\pi\) |
0.142091 | + | 0.989854i | \(0.454617\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.1253 | + | 16.6890i | −0.932714 | + | 1.28377i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.33245 | − | 21.5107i | −0.331311 | − | 1.64496i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 5.57182 | − | 10.9353i | 0.423618 | − | 0.831397i | −0.576282 | − | 0.817251i | \(-0.695497\pi\) |
0.999900 | − | 0.0141460i | \(-0.00450296\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.855300 | + | 5.69466i | −0.0646546 | + | 0.430476i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.10320 | + | 11.0648i | 0.0829217 | + | 0.831684i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4.46475 | + | 3.24383i | −0.333711 | + | 0.242455i | −0.742004 | − | 0.670396i | \(-0.766124\pi\) |
0.408293 | + | 0.912851i | \(0.366124\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.04985 | + | 5.84856i | 0.598340 | + | 0.434720i | 0.845289 | − | 0.534309i | \(-0.179428\pi\) |
−0.246949 | + | 0.969028i | \(0.579428\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 15.7089 | + | 17.6352i | 1.16124 | + | 1.30363i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −6.89223 | + | 0.0275712i | −0.506727 | + | 0.00202708i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.96585 | + | 1.51118i | −0.216884 | + | 0.110508i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −5.37506 | + | 2.63104i | −0.390978 | + | 0.191380i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 9.80442 | + | 3.18565i | 0.709423 | + | 0.230505i | 0.641431 | − | 0.767181i | \(-0.278341\pi\) |
0.0679914 | + | 0.997686i | \(0.478341\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.238354 | + | 0.238354i | −0.0171571 | + | 0.0171571i | −0.715633 | − | 0.698476i | \(-0.753862\pi\) |
0.698476 | + | 0.715633i | \(0.253862\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −9.10753 | − | 20.5301i | −0.652204 | − | 1.47019i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −0.296468 | + | 1.87183i | −0.0211225 | + | 0.133362i | −0.995996 | − | 0.0893965i | \(-0.971506\pi\) |
0.974874 | + | 0.222759i | \(0.0715062\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 18.6398i | − | 1.32134i | −0.750676 | − | 0.660670i | \(-0.770272\pi\) | ||
0.750676 | − | 0.660670i | \(-0.229728\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −5.84035 | − | 9.09946i | −0.411947 | − | 0.641826i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −6.05361 | − | 0.958797i | −0.424880 | − | 0.0672944i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.44919 | − | 4.41373i | −0.310745 | − | 0.308268i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −7.04216 | − | 18.9484i | −0.489464 | − | 1.31701i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 8.23247 | − | 25.3369i | 0.569452 | − | 1.75259i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.77153 | + | 23.9183i | 0.535014 | + | 1.64660i | 0.743618 | + | 0.668604i | \(0.233108\pi\) |
−0.208604 | + | 0.978000i | \(0.566892\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −14.9670 | − | 8.74822i | −1.02552 | − | 0.599418i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 9.04926 | − | 2.98036i | 0.617155 | − | 0.203259i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.398452 | − | 2.51573i | −0.0270487 | − | 0.170779i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 16.0376 | + | 0.926472i | 1.08372 | + | 0.0626052i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.11503 | + | 4.28748i | 0.209540 | + | 0.288407i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.28530 | + | 2.18347i | 0.286965 | + | 0.146216i | 0.591548 | − | 0.806270i | \(-0.298517\pi\) |
−0.304583 | + | 0.952486i | \(0.598517\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 14.9136 | + | 1.60803i | 0.994237 | + | 0.107202i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 11.3411 | + | 5.77860i | 0.752738 | + | 0.383539i | 0.787868 | − | 0.615844i | \(-0.211185\pi\) |
−0.0351307 | + | 0.999383i | \(0.511185\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.0954879 | + | 0.131428i | 0.00631002 | + | 0.00868500i | 0.812160 | − | 0.583434i | \(-0.198291\pi\) |
−0.805850 | + | 0.592119i | \(0.798291\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −7.25369 | − | 0.419037i | −0.477258 | − | 0.0275706i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.939042 | + | 5.92888i | 0.0615187 | + | 0.388414i | 0.999166 | + | 0.0408262i | \(0.0129990\pi\) |
−0.937648 | + | 0.347587i | \(0.887001\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.34012 | − | 11.5763i | 0.544049 | − | 0.755154i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −10.9165 | − | 6.38070i | −0.709105 | − | 0.414471i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.44778 | + | 10.6112i | 0.223019 | + | 0.686380i | 0.998487 | + | 0.0549938i | \(0.0175139\pi\) |
−0.775468 | + | 0.631387i | \(0.782486\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.68635 | + | 26.7338i | −0.559537 | + | 1.72208i | 0.124114 | + | 0.992268i | \(0.460391\pi\) |
−0.683650 | + | 0.729810i | \(0.739609\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.43072 | + | 13.7034i | 0.476681 | + | 0.879076i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −5.71428 | + | 11.3267i | −0.365072 | + | 0.723636i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −41.8932 | − | 6.63523i | −2.66560 | − | 0.422189i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.13785 | + | 1.77280i | 0.0721081 | + | 0.112347i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 28.1347i | 1.77585i | 0.459991 | + | 0.887924i | \(0.347853\pi\) | ||||
−0.459991 | + | 0.887924i | \(0.652147\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.83936 | − | 24.2407i | 0.241378 | − | 1.52400i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −3.52054 | + | 0.365239i | −0.220465 | + | 0.0228722i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 12.8233 | − | 12.8233i | 0.799894 | − | 0.799894i | −0.183184 | − | 0.983079i | \(-0.558641\pi\) |
0.983079 | + | 0.183184i | \(0.0586405\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.37619 | + | 1.09699i | 0.209786 | + | 0.0681637i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.83844 | + | 15.8590i | −0.113797 | + | 0.981645i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −18.6904 | + | 9.52321i | −1.15250 | + | 0.587226i | −0.922512 | − | 0.385968i | \(-0.873868\pi\) |
−0.229984 | + | 0.973194i | \(0.573868\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 14.7718 | + | 10.6423i | 0.907423 | + | 0.653751i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.7279 | − | 14.2886i | −0.778932 | − | 0.874446i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −10.9550 | − | 7.95929i | −0.667940 | − | 0.485287i | 0.201395 | − | 0.979510i | \(-0.435452\pi\) |
−0.869335 | + | 0.494223i | \(0.835452\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.95011 | − | 1.41684i | 0.118461 | − | 0.0860669i | −0.526977 | − | 0.849879i | \(-0.676675\pi\) |
0.645438 | + | 0.763812i | \(0.276675\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.14768 | + | 11.5109i | 0.0694607 | + | 0.696673i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 14.8187 | + | 10.5863i | 0.893602 | + | 0.638380i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.61588 | + | 9.05917i | −0.277341 | + | 0.544313i | −0.987095 | − | 0.160137i | \(-0.948806\pi\) |
0.709753 | + | 0.704450i | \(0.248806\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −6.50412 | + | 1.30999i | −0.389391 | + | 0.0784269i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.75864 | − | 5.17333i | 0.224222 | − | 0.308615i | −0.682054 | − | 0.731302i | \(-0.738913\pi\) |
0.906276 | + | 0.422687i | \(0.138913\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.2845 | + | 1.94568i | −0.730239 | + | 0.115658i | −0.510472 | − | 0.859894i | \(-0.670529\pi\) |
−0.219766 | + | 0.975553i | \(0.570529\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 17.8569 | − | 21.9909i | 1.05775 | − | 1.30263i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1.46544 | + | 2.87609i | 0.0865024 | + | 0.169770i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −15.3737 | + | 4.99521i | −0.904333 | + | 0.293836i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −6.52583 | + | 1.71126i | −0.382551 | + | 0.100316i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 20.0058 | + | 20.0058i | 1.16875 | + | 1.16875i | 0.982503 | + | 0.186248i | \(0.0596329\pi\) |
0.186248 | + | 0.982503i | \(0.440367\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.1102 | + | 10.1914i | −0.588636 | + | 0.593364i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.303452 | + | 18.9237i | −0.0176081 | + | 1.09806i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −39.0752 | −2.25978 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.90718 | −0.282845 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 1.27511 | + | 2.90563i | 0.0732529 | + | 0.166924i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −4.64913 | + | 30.1331i | −0.266208 | + | 1.72542i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.67900 | + | 1.67900i | 0.0958255 | + | 0.0958255i | 0.753394 | − | 0.657569i | \(-0.228415\pi\) |
−0.657569 | + | 0.753394i | \(0.728415\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.47274 | − | 17.0566i | −0.254445 | − | 0.970318i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −16.6707 | + | 5.41664i | −0.945310 | + | 0.307150i | −0.740808 | − | 0.671717i | \(-0.765557\pi\) |
−0.204501 | + | 0.978866i | \(0.565557\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.60246 | + | 14.9207i | 0.429716 | + | 0.843366i | 0.999763 | + | 0.0217538i | \(0.00692499\pi\) |
−0.570047 | + | 0.821612i | \(0.693075\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −7.03677 | − | 3.18954i | −0.396477 | − | 0.179710i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 10.0629 | − | 1.59380i | 0.565187 | − | 0.0895168i | 0.132699 | − | 0.991156i | \(-0.457636\pi\) |
0.432488 | + | 0.901640i | \(0.357636\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.3933 | + | 15.6816i | −0.637904 | + | 0.878000i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −11.3069 | + | 28.9913i | −0.631088 | + | 1.61814i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.03461 | + | 5.95576i | −0.168850 | + | 0.331388i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 12.9564 | − | 25.9394i | 0.718692 | − | 1.43886i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −13.5713 | + | 1.35310i | −0.750494 | + | 0.0748268i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −5.94524 | + | 4.31947i | −0.327772 | + | 0.238140i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 21.8809 | + | 15.8974i | 1.20268 | + | 0.873801i | 0.994546 | − | 0.104298i | \(-0.0332597\pi\) |
0.208138 | + | 0.978099i | \(0.433260\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 2.48863 | − | 8.90580i | 0.136376 | − | 0.488035i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 4.26038 | − | 13.2928i | 0.232770 | − | 0.726264i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.4244 | − | 6.84007i | 0.731273 | − | 0.372602i | −0.0483675 | − | 0.998830i | \(-0.515402\pi\) |
0.779640 | + | 0.626227i | \(0.215402\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −20.5555 | + | 25.1084i | −1.11642 | + | 1.36370i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −7.66104 | − | 2.48922i | −0.414869 | − | 0.134799i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.3211 | − | 10.3211i | 0.557287 | − | 0.557287i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 13.0789 | − | 22.5832i | 0.704145 | − | 1.21584i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.70896 | − | 10.7899i | 0.0917415 | − | 0.579233i | −0.898402 | − | 0.439175i | \(-0.855271\pi\) |
0.990143 | − | 0.140059i | \(-0.0447291\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.93794i | 0.264322i | 0.991228 | + | 0.132161i | \(0.0421916\pi\) | ||||
−0.991228 | + | 0.132161i | \(0.957808\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 29.8334 | − | 4.23600i | 1.59239 | − | 0.226101i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 2.96257 | + | 0.469225i | 0.157682 | + | 0.0249744i | 0.234776 | − | 0.972049i | \(-0.424564\pi\) |
−0.0770944 | + | 0.997024i | \(0.524564\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.58955 | − | 22.0912i | −0.190513 | − | 1.17248i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.78113 | + | 0.388552i | 0.0942674 | + | 0.0205644i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 9.84389 | − | 30.2964i | 0.519540 | − | 1.59898i | −0.255325 | − | 0.966855i | \(-0.582183\pi\) |
0.774866 | − | 0.632126i | \(-0.217817\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.6604 | − | 32.8093i | −0.561074 | − | 1.72681i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.98107 | + | 3.38935i | −0.103979 | + | 0.177895i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 12.2571 | + | 16.7293i | 0.641565 | + | 0.875651i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.72166 | − | 29.8114i | −0.246469 | − | 1.55614i | −0.731621 | − | 0.681712i | \(-0.761236\pi\) |
0.485152 | − | 0.874430i | \(-0.338764\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 7.32621 | − | 4.12601i | 0.381387 | − | 0.214791i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −5.51180 | − | 7.58635i | −0.286159 | − | 0.393864i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 17.7102 | + | 9.02378i | 0.916998 | + | 0.467234i | 0.847768 | − | 0.530367i | \(-0.177946\pi\) |
0.0692297 | + | 0.997601i | \(0.477946\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 10.6548 | + | 16.1702i | 0.550209 | + | 0.835027i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 27.4972 | + | 14.0105i | 1.41618 | + | 0.721579i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.60609 | − | 11.8453i | −0.442065 | − | 0.608450i | 0.528604 | − | 0.848868i | \(-0.322716\pi\) |
−0.970669 | + | 0.240418i | \(0.922716\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.727111 | + | 12.5866i | −0.0372510 | + | 0.644830i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4.01050 | − | 25.3213i | −0.204927 | − | 1.29386i | −0.848795 | − | 0.528722i | \(-0.822671\pi\) |
0.643868 | − | 0.765137i | \(-0.277329\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.54379 | − | 7.56653i | −0.282538 | − | 0.385626i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.532493 | + | 12.7713i | 0.0270681 | + | 0.649200i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −3.42204 | − | 10.5320i | −0.173504 | − | 0.533991i | 0.826058 | − | 0.563586i | \(-0.190578\pi\) |
−0.999562 | + | 0.0295942i | \(0.990578\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.90291 | + | 5.85654i | −0.0962341 | + | 0.296178i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 2.18570 | − | 10.0193i | 0.110254 | − | 0.505406i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −2.61812 | − | 16.1127i | −0.131732 | − | 0.810718i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −34.8560 | − | 5.52065i | −1.74937 | − | 0.277074i | −0.802029 | − | 0.597286i | \(-0.796246\pi\) |
−0.947346 | + | 0.320212i | \(0.896246\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −12.2789 | + | 7.88105i | −0.614715 | + | 0.394546i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 28.2805i | − | 1.41226i | −0.708081 | − | 0.706131i | \(-0.750439\pi\) | ||
0.708081 | − | 0.706131i | \(-0.249561\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.00627 | + | 12.6671i | −0.0999395 | + | 0.630993i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −7.53742 | + | 18.6598i | −0.374537 | + | 0.927212i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.93859 | − | 7.93859i | 0.393501 | − | 0.393501i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 15.1592 | + | 4.92552i | 0.749574 | + | 0.243551i | 0.658798 | − | 0.752320i | \(-0.271065\pi\) |
0.0907761 | + | 0.995871i | \(0.471065\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 8.62717 | + | 7.06282i | 0.425547 | + | 0.348383i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 6.58802 | − | 3.35676i | 0.324175 | − | 0.165176i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.830029 | + | 2.58977i | −0.0407445 | + | 0.127127i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 3.64004 | − | 3.24245i | 0.178254 | − | 0.158784i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 28.4906 | + | 20.6996i | 1.39186 | + | 1.01124i | 0.995659 | + | 0.0930769i | \(0.0296702\pi\) |
0.396197 | + | 0.918166i | \(0.370330\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.21908 | + | 0.885714i | −0.0594143 | + | 0.0431670i | −0.617096 | − | 0.786888i | \(-0.711691\pi\) |
0.557682 | + | 0.830055i | \(0.311691\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 11.8869 | + | 15.0042i | 0.577959 | + | 0.729528i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3.25680 | − | 3.20510i | −0.157978 | − | 0.155470i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.12945 | − | 13.9923i | 0.345018 | − | 0.677137i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 34.0839 | + | 13.2930i | 1.64559 | + | 0.641794i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −3.75782 | + | 5.17220i | −0.181008 | + | 0.249136i | −0.889873 | − | 0.456208i | \(-0.849207\pi\) |
0.708865 | + | 0.705344i | \(0.249207\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 22.5721 | − | 3.57506i | 1.08474 | − | 0.171807i | 0.411634 | − | 0.911349i | \(-0.364958\pi\) |
0.673110 | + | 0.739542i | \(0.264958\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −17.3009 | + | 11.2023i | −0.829513 | + | 0.537108i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −22.3749 | − | 43.9132i | −1.07034 | − | 2.10065i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.74365 | + | 0.566545i | −0.0832197 | + | 0.0270397i | −0.350331 | − | 0.936626i | \(-0.613931\pi\) |
0.267111 | + | 0.963666i | \(0.413931\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −12.5264 | − | 11.5236i | −0.596495 | − | 0.548745i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −6.75410 | − | 6.75410i | −0.320897 | − | 0.320897i | 0.528214 | − | 0.849111i | \(-0.322862\pi\) |
−0.849111 | + | 0.528214i | \(0.822862\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.76686 | − | 24.4147i | 0.178566 | − | 1.15737i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 34.6150 | − | 15.1905i | 1.63724 | − | 0.718484i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −24.0642 | −1.13566 | −0.567830 | − | 0.823146i | \(-0.692217\pi\) | ||||
−0.567830 | + | 0.823146i | \(0.692217\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 10.2085 | 0.480697 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 12.3659 | − | 5.42665i | 0.581001 | − | 0.254966i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −10.5178 | + | 10.6022i | −0.493080 | + | 0.497041i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 15.7146 | + | 15.7146i | 0.735097 | + | 0.735097i | 0.971625 | − | 0.236528i | \(-0.0760095\pi\) |
−0.236528 | + | 0.971625i | \(0.576010\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.817958 | − | 4.67768i | 0.0381790 | − | 0.218335i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −8.27650 | + | 2.68920i | −0.385475 | + | 0.125248i | −0.495342 | − | 0.868698i | \(-0.664957\pi\) |
0.109867 | + | 0.993946i | \(0.464957\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.79566 | − | 13.3372i | −0.315821 | − | 0.619834i | 0.677460 | − | 0.735560i | \(-0.263081\pi\) |
−0.993281 | + | 0.115726i | \(0.963081\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −6.64931 | − | 5.39932i | −0.308354 | − | 0.250388i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −32.4831 | + | 5.14481i | −1.50314 | + | 0.238074i | −0.853067 | − | 0.521801i | \(-0.825261\pi\) |
−0.650070 | + | 0.759874i | \(0.725261\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.22596 | + | 5.81654i | −0.195137 | + | 0.268583i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −23.7164 | − | 9.24960i | −1.09279 | − | 0.426199i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −7.04558 | + | 13.8277i | −0.323956 | + | 0.635800i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 36.5699 | − | 0.292588i | 1.67794 | − | 0.0134249i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −19.1459 | + | 15.1681i | −0.876630 | + | 0.694498i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 22.4708 | − | 16.3260i | 1.02672 | − | 0.745953i | 0.0590677 | − | 0.998254i | \(-0.481187\pi\) |
0.967649 | + | 0.252301i | \(0.0811872\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −14.4608 | − | 10.5064i | −0.659355 | − | 0.479049i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −10.0369 | + | 8.94062i | −0.456696 | + | 0.406812i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.06669 | − | 5.09118i | −0.320882 | − | 0.231179i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 28.0023 | − | 14.2679i | 1.26891 | − | 0.646540i | 0.315700 | − | 0.948859i | \(-0.397761\pi\) |
0.953207 | + | 0.302319i | \(0.0977607\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −10.4434 | − | 8.54973i | −0.472268 | − | 0.386632i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 11.6547 | + | 3.78683i | 0.525968 | + | 0.170897i | 0.559952 | − | 0.828525i | \(-0.310820\pi\) |
−0.0339840 | + | 0.999422i | \(0.510820\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.43895 | − | 3.43895i | 0.154883 | − | 0.154883i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −19.0908 | + | 15.2492i | −0.858069 | + | 0.685398i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.80330 | + | 11.3856i | −0.0808890 | + | 0.510713i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 2.58376i | − | 0.115665i | −0.998326 | − | 0.0578324i | \(-0.981581\pi\) | ||
0.998326 | − | 0.0578324i | \(-0.0184189\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.546485 | − | 0.350753i | 0.0244151 | − | 0.0156705i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 29.7370 | + | 4.70988i | 1.32591 | + | 0.210003i | 0.778913 | − | 0.627132i | \(-0.215772\pi\) |
0.546995 | + | 0.837136i | \(0.315772\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.84514 | + | 3.65738i | −0.0821076 | + | 0.162751i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 7.61539 | − | 34.9091i | 0.338211 | − | 1.55037i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −10.5395 | + | 32.4372i | −0.467155 | + | 1.43776i | 0.389097 | + | 0.921197i | \(0.372787\pi\) |
−0.856252 | + | 0.516559i | \(0.827213\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.30086 | − | 10.1590i | −0.146021 | − | 0.449407i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 21.8434 | + | 31.1016i | 0.964409 | + | 1.37317i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 13.3069 | − | 18.4703i | 0.586371 | − | 0.813898i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.63565 | + | 22.9546i | 0.159896 | + | 1.00954i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.22597 | + | 21.2221i | −0.0538142 | + | 0.931545i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 7.87830 | + | 10.8435i | 0.345154 | + | 0.475064i | 0.945938 | − | 0.324347i | \(-0.105145\pi\) |
−0.600784 | + | 0.799412i | \(0.705145\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.1465 | + | 5.67941i | 0.487401 | + | 0.248343i | 0.680380 | − | 0.732860i | \(-0.261815\pi\) |
−0.192979 | + | 0.981203i | \(0.561815\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −2.60706 | − | 9.62733i | −0.113781 | − | 0.420171i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.80082 | + | 0.917566i | 0.0784451 | + | 0.0399698i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.1686 | − | 18.1251i | −0.572549 | − | 0.788046i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −9.45109 | − | 16.7815i | −0.410143 | − | 0.728256i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −2.54254 | − | 16.0530i | −0.110130 | − | 0.695332i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −38.1572 | + | 12.5670i | −1.64968 | + | 0.543319i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 4.82354 | − | 8.25243i | 0.208151 | − | 0.356119i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −6.38585 | − | 19.6536i | −0.275058 | − | 0.846541i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.14874 | − | 3.53545i | 0.0493881 | − | 0.152001i | −0.923321 | − | 0.384029i | \(-0.874536\pi\) |
0.972709 | + | 0.232028i | \(0.0745362\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −16.8382 | − | 3.67323i | −0.722595 | − | 0.157634i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −12.5000 | − | 12.4003i | −0.535439 | − | 0.531173i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.64836 | − | 0.419459i | −0.113236 | − | 0.0179348i | 0.0995594 | − | 0.995032i | \(-0.468257\pi\) |
−0.212795 | + | 0.977097i | \(0.568257\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −37.1896 | − | 17.0365i | −1.58722 | − | 0.727101i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 38.9242i | 1.65823i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.31527 | + | 8.30432i | −0.0559312 | + | 0.353136i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 10.9122 | − | 4.84087i | 0.463199 | − | 0.205484i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −19.5853 | + | 19.5853i | −0.829857 | + | 0.829857i | −0.987497 | − | 0.157639i | \(-0.949612\pi\) |
0.157639 | + | 0.987497i | \(0.449612\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 23.4991 | + | 7.63533i | 0.993908 | + | 0.322940i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.65218 | − | 4.46110i | 0.154195 | − | 0.188348i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −14.2772 | + | 7.27459i | −0.601712 | + | 0.306587i | −0.728183 | − | 0.685383i | \(-0.759635\pi\) |
0.126471 | + | 0.991970i | \(0.459635\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −41.8916 | + | 0.167580i | −1.76239 | + | 0.00705015i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 6.69385 | − | 7.91411i | 0.281115 | − | 0.332361i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 29.7086 | + | 21.5845i | 1.24545 | + | 0.904871i | 0.997949 | − | 0.0640170i | \(-0.0203912\pi\) |
0.247499 | + | 0.968888i | \(0.420391\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 34.0496 | − | 24.7385i | 1.42493 | − | 1.03527i | 0.433997 | − | 0.900914i | \(-0.357103\pi\) |
0.990933 | − | 0.134358i | \(-0.0428971\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −17.7676 | + | 1.77149i | −0.742251 | + | 0.0740050i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 33.2332 | − | 5.53652i | 1.38592 | − | 0.230889i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 19.4132 | − | 38.1006i | 0.808182 | − | 1.58615i | −0.00202117 | − | 0.999998i | \(-0.500643\pi\) |
0.810203 | − | 0.586149i | \(-0.199357\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.212141 | − | 0.543940i | 0.00881630 | − | 0.0226054i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.823323 | − | 1.13321i | 0.0341572 | − | 0.0470133i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −29.2909 | + | 4.63922i | −1.21311 | + | 0.192137i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 28.7344 | + | 26.2227i | 1.18802 | + | 1.08418i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 0.114338 | + | 0.224402i | 0.00471925 | + | 0.00926205i | 0.893354 | − | 0.449353i | \(-0.148346\pi\) |
−0.888635 | + | 0.458615i | \(0.848346\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −15.3842 | + | 4.99864i | −0.633897 | + | 0.205966i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.832618 | − | 3.17516i | −0.0342493 | − | 0.130609i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −14.4925 | − | 14.4925i | −0.595137 | − | 0.595137i | 0.343878 | − | 0.939014i | \(-0.388259\pi\) |
−0.939014 | + | 0.343878i | \(0.888259\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.07685 | + | 2.09270i | 0.0441466 | + | 0.0857923i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 12.9737 | + | 29.5637i | 0.530978 | + | 1.20996i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 16.6754 | 0.681340 | 0.340670 | − | 0.940183i | \(-0.389346\pi\) | ||||
0.340670 | + | 0.940183i | \(0.389346\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −21.5251 | −0.878028 | −0.439014 | − | 0.898480i | \(-0.644672\pi\) | ||||
−0.439014 | + | 0.898480i | \(0.644672\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 15.5965 | + | 10.3672i | 0.635139 | + | 0.422184i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.00265 | + | 0.812870i | −0.203387 | + | 0.0330479i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.49042 | + | 7.49042i | 0.304027 | + | 0.304027i | 0.842587 | − | 0.538560i | \(-0.181032\pi\) |
−0.538560 | + | 0.842587i | \(0.681032\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 10.2687 | − | 2.69274i | 0.416107 | − | 0.109115i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 35.1910 | − | 11.4343i | 1.42368 | − | 0.462580i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −9.77730 | − | 19.1890i | −0.394902 | − | 0.775038i | 0.604872 | − | 0.796323i | \(-0.293224\pi\) |
−0.999773 | + | 0.0212848i | \(0.993224\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 10.1287 | + | 3.90367i | 0.408428 | + | 0.157411i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 9.79635 | − | 1.55159i | 0.394386 | − | 0.0624646i | 0.0439081 | − | 0.999036i | \(-0.486019\pi\) |
0.350478 | + | 0.936571i | \(0.386019\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.81151 | − | 6.62247i | 0.193391 | − | 0.266180i | −0.701299 | − | 0.712867i | \(-0.747396\pi\) |
0.894690 | + | 0.446687i | \(0.147396\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 24.3577 | + | 25.1516i | 0.977442 | + | 1.00930i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −5.77649 | + | 11.3370i | −0.231430 | + | 0.454208i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.34400 | + | 23.8970i | −0.293760 | + | 0.955879i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 4.57794 | + | 45.9156i | 0.182825 | + | 1.83369i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −2.27890 | + | 1.65572i | −0.0908656 | + | 0.0660177i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.620208 | − | 0.450607i | −0.0246901 | − | 0.0179384i | 0.575372 | − | 0.817892i | \(-0.304857\pi\) |
−0.600062 | + | 0.799954i | \(0.704857\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −28.9737 | − | 32.5265i | −1.15160 | − | 1.29281i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −13.1294 | + | 9.61956i | −0.521025 | + | 0.381741i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −29.3152 | + | 14.9368i | −1.16151 | + | 0.591819i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 29.8274 | + | 3.45772i | 1.17995 | + | 0.136785i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −16.9921 | − | 5.52105i | −0.671146 | − | 0.218068i | −0.0464310 | − | 0.998922i | \(-0.514785\pi\) |
−0.624715 | + | 0.780853i | \(0.714785\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.47671 | − | 5.47671i | 0.215980 | − | 0.215980i | −0.590822 | − | 0.806802i | \(-0.701196\pi\) |
0.806802 | + | 0.590822i | \(0.201196\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −12.2782 | + | 11.0255i | −0.483453 | + | 0.434128i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −5.84782 | + | 36.9217i | −0.229902 | + | 1.45154i | 0.554963 | + | 0.831875i | \(0.312732\pi\) |
−0.784865 | + | 0.619667i | \(0.787268\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 23.3836i | − | 0.917888i | ||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.38297 | + | 3.71274i | 0.0933958 | + | 0.145514i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 32.5406 | + | 5.15393i | 1.27341 | + | 0.201689i | 0.756298 | − | 0.654227i | \(-0.227006\pi\) |
0.517115 | + | 0.855916i | \(0.327006\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.7719 | − | 6.05753i | 0.459967 | − | 0.236687i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −26.0813 | + | 9.69309i | −1.01753 | + | 0.378163i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −5.58239 | + | 17.1808i | −0.217459 | + | 0.669270i | 0.781511 | + | 0.623892i | \(0.214449\pi\) |
−0.998970 | + | 0.0453785i | \(0.985551\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.43861 | + | 16.7383i | 0.211537 | + | 0.651045i | 0.999381 | + | 0.0351703i | \(0.0111974\pi\) |
−0.787844 | + | 0.615875i | \(0.788803\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −7.92477 | − | 4.63202i | −0.307773 | − | 0.179893i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −17.9375 | − | 5.74902i | −0.695586 | − | 0.222937i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.60959 | + | 35.4175i | 0.217204 | + | 1.37137i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −8.31644 | − | 0.480431i | −0.321532 | − | 0.0185745i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −29.1921 | − | 40.1795i | −1.12695 | − | 1.55111i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −44.4567 | − | 22.6518i | −1.71368 | − | 0.873164i | −0.981354 | − | 0.192211i | \(-0.938434\pi\) |
−0.732327 | − | 0.680953i | \(-0.761566\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −24.7729 | + | 7.82974i | −0.953508 | + | 0.301367i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 13.4384 | + | 6.84718i | 0.516478 | + | 0.263159i | 0.692744 | − | 0.721184i | \(-0.256402\pi\) |
−0.176266 | + | 0.984343i | \(0.556402\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.63680 | + | 3.62924i | 0.101191 | + | 0.139278i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −22.0096 | − | 1.27147i | −0.843411 | − | 0.0487228i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.11149 | + | 13.3314i | 0.0807939 | + | 0.510113i | 0.994585 | + | 0.103928i | \(0.0331411\pi\) |
−0.913791 | + | 0.406185i | \(0.866859\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.0575801 | + | 14.3938i | 0.00220002 | + | 0.549960i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.242925 | − | 0.141989i | −0.00926818 | − | 0.00541724i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 14.5905 | + | 44.9050i | 0.555855 | + | 1.71075i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.08757 | + | 3.34720i | −0.0413731 | + | 0.127333i | −0.969610 | − | 0.244657i | \(-0.921325\pi\) |
0.928237 | + | 0.371991i | \(0.121325\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 11.7964 | − | 4.38411i | 0.448107 | − | 0.166539i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 6.21971 | + | 0.959617i | 0.235927 | + | 0.0364003i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.52981 | − | 0.400683i | −0.0958236 | − | 0.0151770i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −5.61599 | − | 8.74990i | −0.212416 | − | 0.330952i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 40.9855i | − | 1.54800i | −0.633184 | − | 0.774001i | \(-0.718253\pi\) | ||
0.633184 | − | 0.774001i | \(-0.281747\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.52678 | − | 22.2672i | 0.133015 | − | 0.839825i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −5.17050 | + | 24.1655i | −0.194732 | + | 0.910125i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1.49194 | − | 1.49194i | 0.0561101 | − | 0.0561101i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.6101 | + | 4.09726i | 0.473581 | + | 0.153876i | 0.536076 | − | 0.844170i | \(-0.319906\pi\) |
−0.0624957 | + | 0.998045i | \(0.519906\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 21.7553 | + | 2.52197i | 0.815887 | + | 0.0945811i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −13.2779 | + | 6.76542i | −0.497261 | + | 0.253367i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 14.7745 | + | 44.8599i | 0.552536 | + | 1.67766i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −12.8540 | − | 14.4301i | −0.480040 | − | 0.538903i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −18.6310 | − | 13.5362i | −0.694820 | − | 0.504816i | 0.183421 | − | 0.983034i | \(-0.441283\pi\) |
−0.878241 | + | 0.478218i | \(0.841283\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −9.48579 | + | 6.89183i | −0.353269 | + | 0.256665i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −4.83034 | − | 48.4471i | −0.179642 | − | 1.80177i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −25.3713 | − | 8.01979i | −0.942265 | − | 0.297847i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −10.3618 | + | 20.3362i | −0.384299 | + | 0.754229i | −0.999415 | − | 0.0342075i | \(-0.989109\pi\) |
0.615116 | + | 0.788437i | \(0.289109\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −21.3234 | − | 16.5624i | −0.789755 | − | 0.613422i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.28875 | − | 3.15019i | 0.0846523 | − | 0.116514i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −13.2294 | + | 2.09532i | −0.488638 | + | 0.0773926i | −0.395892 | − | 0.918297i | \(-0.629564\pi\) |
−0.0927459 | + | 0.995690i | \(0.529564\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1.17951 | − | 21.9420i | 0.0435070 | − | 0.809342i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 10.3227 | + | 20.2594i | 0.380240 | + | 0.746263i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 15.0540 | − | 4.89134i | 0.553770 | − | 0.179931i | −0.0187462 | − | 0.999824i | \(-0.505967\pi\) |
0.572516 | + | 0.819894i | \(0.305967\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 71.0629 | − | 18.6348i | 2.61056 | − | 0.684565i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 7.06750 | + | 7.06750i | 0.259281 | + | 0.259281i | 0.824762 | − | 0.565480i | \(-0.191309\pi\) |
−0.565480 | + | 0.824762i | \(0.691309\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 43.5707 | + | 21.9813i | 1.59631 | + | 0.805332i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −3.03859 | − | 2.01979i | −0.111176 | − | 0.0739001i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 20.6917 | 0.756058 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −51.2590 | −1.87047 | −0.935234 | − | 0.354031i | \(-0.884811\pi\) | ||||
−0.935234 | + | 0.354031i | \(0.884811\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −19.5824 | − | 44.6231i | −0.713621 | − | 1.62615i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 15.5652 | + | 7.85262i | 0.566477 | + | 0.285786i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.5818 | + | 10.5818i | 0.384604 | + | 0.384604i | 0.872758 | − | 0.488154i | \(-0.162330\pi\) |
−0.488154 | + | 0.872758i | \(0.662330\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 10.7827 | + | 41.1193i | 0.391386 | + | 1.49254i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −36.8728 | + | 11.9807i | −1.33664 | + | 0.434300i | −0.888176 | − | 0.459503i | \(-0.848027\pi\) |
−0.448460 | + | 0.893803i | \(0.648027\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.11715 | + | 8.08037i | 0.149051 | + | 0.292529i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 5.32954 | − | 3.02966i | 0.192690 | − | 0.109538i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −36.7712 | + | 5.82398i | −1.32773 | + | 0.210292i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 30.1156 | − | 41.4506i | 1.08600 | − | 1.49475i | 0.233252 | − | 0.972416i | \(-0.425063\pi\) |
0.852744 | − | 0.522329i | \(-0.174937\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.4131 | + | 29.2636i | −0.411032 | + | 1.05390i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −10.0630 | + | 19.7497i | −0.361940 | + | 0.710347i | −0.998126 | − | 0.0611885i | \(-0.980511\pi\) |
0.636186 | + | 0.771535i | \(0.280511\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.0884689 | − | 11.0575i | −0.00317790 | − | 0.397198i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −6.11833 | + | 0.610019i | −0.219494 | + | 0.0218843i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 16.5846 | − | 12.0494i | 0.594206 | − | 0.431716i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 29.4938 | + | 21.4285i | 1.05537 | + | 0.766772i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −8.12232 | − | 26.4327i | −0.290268 | − | 0.944628i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −10.2805 | − | 31.2146i | −0.366925 | − | 1.11410i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 7.51983 | − | 3.83155i | 0.268053 | − | 0.136580i | −0.314798 | − | 0.949159i | \(-0.601937\pi\) |
0.582852 | + | 0.812579i | \(0.301937\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 23.0155 | − | 28.1132i | 0.819373 | − | 1.00086i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 20.5208 | + | 6.66761i | 0.729635 | + | 0.237073i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −55.9124 | + | 55.9124i | −1.98551 | + | 1.98551i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −30.8360 | − | 6.59775i | −1.09364 | − | 0.233998i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 3.19808 | − | 20.1919i | 0.113282 | − | 0.715234i | −0.864032 | − | 0.503437i | \(-0.832069\pi\) |
0.977314 | − | 0.211797i | \(-0.0679315\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 5.83121i | − | 0.206293i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 30.1322 | + | 13.8035i | 1.06467 | + | 0.487723i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −33.3658 | − | 5.28463i | −1.17746 | − | 0.186491i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −17.1500 | − | 2.64601i | −0.604459 | − | 0.0932598i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 22.9151 | + | 4.99890i | 0.806648 | + | 0.175970i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 12.0010 | − | 36.9353i | 0.421933 | − | 1.29857i | −0.483969 | − | 0.875085i | \(-0.660805\pi\) |
0.905901 | − | 0.423489i | \(-0.139195\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −6.14194 | − | 18.9030i | −0.215673 | − | 0.663773i | −0.999105 | − | 0.0422955i | \(-0.986533\pi\) |
0.783432 | − | 0.621477i | \(-0.213467\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.10683 | + | 3.60450i | −0.0738896 | + | 0.126415i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −0.0697022 | − | 17.4241i | −0.00244156 | − | 0.610340i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.87518 | + | 30.7807i | 0.170561 | + | 1.07688i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −9.83213 | − | 17.4581i | −0.343562 | − | 0.610035i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 24.8586 | + | 34.2149i | 0.867569 | + | 1.19411i | 0.979711 | + | 0.200415i | \(0.0642289\pi\) |
−0.112142 | + | 0.993692i | \(0.535771\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 19.7004 | + | 10.0379i | 0.686713 | + | 0.349898i | 0.762284 | − | 0.647243i | \(-0.224078\pi\) |
−0.0755710 | + | 0.997140i | \(0.524078\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −30.8715 | − | 6.47630i | −1.07481 | − | 0.225476i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −44.2895 | − | 22.5666i | −1.54010 | − | 0.784718i | −0.541658 | − | 0.840599i | \(-0.682203\pi\) |
−0.998437 | + | 0.0558808i | \(0.982203\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 19.2512 | + | 26.4971i | 0.668624 | + | 0.920281i | 0.999728 | − | 0.0233127i | \(-0.00742133\pi\) |
−0.331105 | + | 0.943594i | \(0.607421\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 1.01564 | − | 17.5811i | 0.0352320 | − | 0.609880i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.811106 | + | 5.12112i | 0.0281032 | + | 0.177436i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.798325 | + | 0.255865i | 0.0276272 | + | 0.00885458i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 9.40407 | − | 6.60471i | 0.325052 | − | 0.228292i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 0.975982 | + | 3.00376i | 0.0336946 | + | 0.103701i | 0.966489 | − | 0.256707i | \(-0.0826374\pi\) |
−0.932795 | + | 0.360408i | \(0.882637\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.209906 | + | 0.646024i | −0.00723813 | + | 0.0222767i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −2.36065 | + | 10.8213i | −0.0813050 | + | 0.372704i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 41.0156 | − | 21.1056i | 1.41098 | − | 0.726055i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.57832 | + | 0.408365i | 0.0885920 | + | 0.0140316i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 18.1296 | − | 11.6362i | 0.622207 | − | 0.399354i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 20.7694i | − | 0.711967i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.16933 | + | 7.38288i | −0.0400372 | + | 0.252785i | −0.999586 | − | 0.0287559i | \(-0.990845\pi\) |
0.959549 | + | 0.281541i | \(0.0908455\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −13.0158 | + | 47.3074i | −0.445130 | + | 1.61788i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −12.6960 | + | 12.6960i | −0.433687 | + | 0.433687i | −0.889880 | − | 0.456194i | \(-0.849212\pi\) |
0.456194 | + | 0.889880i | \(0.349212\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −6.79763 | − | 2.20868i | −0.231932 | − | 0.0753593i | 0.190745 | − | 0.981640i | \(-0.438910\pi\) |
−0.422677 | + | 0.906280i | \(0.638910\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −4.32609 | − | 3.54165i | −0.147433 | − | 0.120699i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 1.56219 | − | 0.795974i | 0.0531775 | − | 0.0270953i | −0.427200 | − | 0.904157i | \(-0.640500\pi\) |
0.480377 | + | 0.877062i | \(0.340500\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −22.1374 | + | 16.2194i | −0.752693 | + | 0.551477i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 20.9066 | − | 18.6230i | 0.710026 | − | 0.632472i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 21.5119 | + | 15.6293i | 0.729742 | + | 0.530189i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 29.2872 | − | 21.2784i | 0.992359 | − | 0.720991i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 9.15922 | − | 7.25627i | 0.309993 | − | 0.245587i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 7.44304 | − | 10.5074i | 0.251621 | − | 0.355214i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 15.1290 | − | 29.6923i | 0.510869 | − | 1.00264i | −0.481161 | − | 0.876632i | \(-0.659785\pi\) |
0.992030 | − | 0.126004i | \(-0.0402153\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −45.6547 | − | 17.8057i | −1.53989 | − | 0.600572i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 26.0706 | − | 35.8831i | 0.878341 | − | 1.20893i | −0.0985368 | − | 0.995133i | \(-0.531416\pi\) |
0.976878 | − | 0.213799i | \(-0.0685838\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1.25419 | + | 0.198645i | −0.0422070 | + | 0.00668493i | −0.177502 | − | 0.984120i | \(-0.556802\pi\) |
0.135295 | + | 0.990805i | \(0.456802\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 8.94180 | − | 23.2009i | 0.300575 | − | 0.779890i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 10.4643 | + | 20.5374i | 0.351358 | + | 0.689579i | 0.997271 | − | 0.0738325i | \(-0.0235230\pi\) |
−0.645913 | + | 0.763411i | \(0.723523\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.97294 | − | 2.59057i | 0.267404 | − | 0.0868848i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −12.6900 | − | 30.2251i | −0.425131 | − | 1.01258i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 33.0007 | + | 33.0007i | 1.10433 | + | 1.10433i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 12.1805 | − | 1.97918i | 0.407149 | − | 0.0661568i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 61.9753 | − | 27.1972i | 2.06929 | − | 0.908088i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 11.7694 | 0.392531 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.44084 | 0.247890 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 7.78304 | − | 3.41550i | 0.259003 | − | 0.113661i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −10.1802 | − | 19.7836i | −0.338400 | − | 0.657631i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 27.2663 | + | 27.2663i | 0.905362 | + | 0.905362i | 0.995894 | − | 0.0905313i | \(-0.0288565\pi\) |
−0.0905313 | + | 0.995894i | \(0.528857\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −4.04476 | − | 3.72097i | −0.134156 | − | 0.123417i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 30.7557 | − | 9.99312i | 1.01898 | − | 0.331087i | 0.248556 | − | 0.968618i | \(-0.420044\pi\) |
0.770425 | + | 0.637531i | \(0.220044\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.01111 | − | 3.94703i | −0.0665581 | − | 0.130628i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −13.5995 | − | 51.0285i | −0.449587 | − | 1.68695i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −6.73493 | + | 1.06671i | −0.222407 | + | 0.0352258i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 12.6727 | − | 17.4425i | 0.418034 | − | 0.575375i | −0.547121 | − | 0.837054i | \(-0.684276\pi\) |
0.965155 | + | 0.261679i | \(0.0842762\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.83159 | − | 1.49436i | −0.126255 | − | 0.0492407i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 26.3509 | − | 51.7165i | 0.867350 | − | 1.70227i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 13.7874 | + | 6.88665i | 0.453327 | + | 0.226432i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 18.9658 | + | 23.9396i | 0.622918 | + | 0.786278i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −4.52028 | + | 3.28417i | −0.148306 | + | 0.107750i | −0.659464 | − | 0.751736i | \(-0.729217\pi\) |
0.511158 | + | 0.859487i | \(0.329217\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −33.5724 | − | 24.3918i | −1.10029 | − | 0.799408i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 22.6705 | − | 20.1942i | 0.742198 | − | 0.661130i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 7.44303 | − | 0.0297746i | 0.243413 | − | 0.000973733i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −22.6738 | + | 11.5529i | −0.740722 | + | 0.377417i | −0.783273 | − | 0.621677i | \(-0.786451\pi\) |
0.0425510 | + | 0.999094i | \(0.486451\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −22.4430 | − | 18.3734i | −0.732399 | − | 0.599595i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −41.8477 | − | 13.5972i | −1.36420 | − | 0.443255i | −0.466755 | − | 0.884387i | \(-0.654577\pi\) |
−0.897442 | + | 0.441132i | \(0.854577\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 13.3540 | − | 13.3540i | 0.434866 | − | 0.434866i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 13.3807 | + | 0.161029i | 0.435273 | + | 0.00523828i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −3.85915 | + | 24.3657i | −0.125405 | + | 0.791779i | 0.842173 | + | 0.539208i | \(0.181276\pi\) |
−0.967578 | + | 0.252571i | \(0.918724\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 53.7846i | 1.74592i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −14.8509 | + | 9.53182i | −0.481573 | + | 0.309090i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −39.1670 | − | 6.20345i | −1.26874 | − | 0.200949i | −0.514470 | − | 0.857509i | \(-0.672011\pi\) |
−0.754274 | + | 0.656559i | \(0.772011\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −16.3650 | − | 16.2346i | −0.529559 | − | 0.525339i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 7.15568 | − | 32.8018i | 0.231310 | − | 1.06033i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 2.29097 | − | 7.05088i | 0.0739793 | − | 0.227685i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.06810 | − | 24.8311i | −0.260261 | − | 0.801002i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −2.24531 | − | 53.8515i | −0.0723543 | − | 1.73534i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0.715912 | − | 0.235784i | 0.0230460 | − | 0.00759016i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.37217 | + | 33.9186i | 0.172757 | + | 1.09075i | 0.909844 | + | 0.414949i | \(0.136201\pi\) |
−0.737087 | + | 0.675798i | \(0.763799\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.667708 | − | 11.5583i | 0.0214499 | − | 0.371306i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −8.75446 | − | 12.0495i | −0.280944 | − | 0.386686i | 0.645102 | − | 0.764096i | \(-0.276815\pi\) |
−0.926046 | + | 0.377410i | \(0.876815\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.88813 | − | 1.47158i | −0.0925892 | − | 0.0471765i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −2.49516 | + | 50.1591i | −0.0799091 | + | 1.60638i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −40.7823 | − | 20.7796i | −1.30474 | − | 0.664799i | −0.343149 | − | 0.939281i | \(-0.611494\pi\) |
−0.961592 | + | 0.274482i | \(0.911494\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 23.6523 | + | 32.5546i | 0.755932 | + | 1.04045i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 20.5829 | − | 11.5920i | 0.657163 | − | 0.370104i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 2.55096 | + | 16.1062i | 0.0813631 | + | 0.513706i | 0.994387 | + | 0.105801i | \(0.0337407\pi\) |
−0.913024 | + | 0.407905i | \(0.866259\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.47713 | − | 3.43831i | 0.0789278 | − | 0.109554i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 6.42301 | − | 10.9889i | 0.204447 | − | 0.349781i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.87194 | + | 27.3050i | 0.282111 | + | 0.868250i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.55535 | + | 20.1753i | −0.208237 | + | 0.640889i | 0.791327 | + | 0.611393i | \(0.209390\pi\) |
−0.999565 | + | 0.0294965i | \(0.990610\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −45.7692 | − | 9.98451i | −1.45244 | − | 0.316849i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −18.7736 | + | 37.2124i | −0.595162 | + | 1.17971i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −30.9129 | − | 4.89612i | −0.979020 | − | 0.155062i | −0.353640 | − | 0.935382i | \(-0.615056\pi\) |
−0.625380 | + | 0.780320i | \(0.715056\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.25153 | + | 15.8572i | 0.0712354 | + | 0.501699i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 300.2.x.a.17.2 | ✓ | 80 | |
3.2 | odd | 2 | inner | 300.2.x.a.17.9 | yes | 80 | |
25.3 | odd | 20 | inner | 300.2.x.a.53.9 | yes | 80 | |
75.53 | even | 20 | inner | 300.2.x.a.53.2 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.x.a.17.2 | ✓ | 80 | 1.1 | even | 1 | trivial | |
300.2.x.a.17.9 | yes | 80 | 3.2 | odd | 2 | inner | |
300.2.x.a.53.2 | yes | 80 | 75.53 | even | 20 | inner | |
300.2.x.a.53.9 | yes | 80 | 25.3 | odd | 20 | inner |