Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(136,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.et (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 145.5 | ||
Character | \(\chi\) | \(=\) | 819.145 |
Dual form | 819.2.et.b.514.5 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.876516 | − | 0.876516i | 0.619790 | − | 0.619790i | −0.325687 | − | 0.945478i | \(-0.605596\pi\) |
0.945478 | + | 0.325687i | \(0.105596\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.463441i | 0.231720i | ||||||||
\(5\) | 2.51660 | − | 0.674321i | 1.12546 | − | 0.301566i | 0.352368 | − | 0.935862i | \(-0.385377\pi\) |
0.773090 | + | 0.634296i | \(0.218710\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.20101 | − | 1.46818i | 0.831905 | − | 0.554918i | ||||
\(8\) | 2.15924 | + | 2.15924i | 0.763408 | + | 0.763408i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.61479 | − | 2.79689i | 0.510641 | − | 0.884455i | ||||
\(11\) | −1.36505 | + | 0.365763i | −0.411577 | + | 0.110282i | −0.458665 | − | 0.888609i | \(-0.651672\pi\) |
0.0470887 | + | 0.998891i | \(0.485006\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.445209 | + | 3.57796i | 0.123479 | + | 0.992347i | ||||
\(14\) | 0.642345 | − | 3.21610i | 0.171674 | − | 0.859539i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.85834 | 0.714585 | ||||||||
\(17\) | −2.82813 | −0.685922 | −0.342961 | − | 0.939350i | \(-0.611430\pi\) | ||||
−0.342961 | + | 0.939350i | \(0.611430\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.61939 | − | 6.04364i | 0.371513 | − | 1.38651i | −0.486861 | − | 0.873480i | \(-0.661858\pi\) |
0.858373 | − | 0.513025i | \(-0.171475\pi\) | |||||||
\(20\) | 0.312508 | + | 1.16630i | 0.0698789 | + | 0.260792i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.875887 | + | 1.51708i | −0.186740 | + | 0.323443i | ||||
\(23\) | 1.01874i | 0.212422i | 0.994344 | + | 0.106211i | \(0.0338718\pi\) | ||||
−0.994344 | + | 0.106211i | \(0.966128\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.54845 | − | 0.893996i | 0.309689 | − | 0.178799i | ||||
\(26\) | 3.52637 | + | 2.74590i | 0.691578 | + | 0.538516i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.680412 | + | 1.02004i | 0.128586 | + | 0.192769i | ||||
\(29\) | 2.66549 | + | 4.61676i | 0.494968 | + | 0.857310i | 0.999983 | − | 0.00580039i | \(-0.00184633\pi\) |
−0.505015 | + | 0.863111i | \(0.668513\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.73101 | + | 6.46023i | −0.310899 | + | 1.16029i | 0.616848 | + | 0.787083i | \(0.288409\pi\) |
−0.927747 | + | 0.373210i | \(0.878257\pi\) | |||||||
\(32\) | −1.81311 | + | 1.81311i | −0.320515 | + | 0.320515i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.47890 | + | 2.47890i | −0.425128 | + | 0.425128i | ||||
\(35\) | 4.54905 | − | 5.17900i | 0.768930 | − | 0.875411i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.50927 | − | 6.50927i | −1.07012 | − | 1.07012i | −0.997349 | − | 0.0727687i | \(-0.976817\pi\) |
−0.0727687 | − | 0.997349i | \(-0.523183\pi\) | |||||||
\(38\) | −3.87792 | − | 6.71676i | −0.629082 | − | 1.08960i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 6.88998 | + | 3.97793i | 1.08940 | + | 0.628966i | ||||
\(41\) | 2.51937 | − | 9.40242i | 0.393459 | − | 1.46841i | −0.430929 | − | 0.902386i | \(-0.641814\pi\) |
0.824388 | − | 0.566025i | \(-0.191519\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.850246 | + | 0.490890i | 0.129661 | + | 0.0748600i | 0.563428 | − | 0.826165i | \(-0.309482\pi\) |
−0.433766 | + | 0.901025i | \(0.642816\pi\) | |||||||
\(44\) | −0.169509 | − | 0.632618i | −0.0255545 | − | 0.0953707i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.892940 | + | 0.892940i | 0.131657 | + | 0.131657i | ||||
\(47\) | −0.594605 | − | 2.21910i | −0.0867321 | − | 0.323688i | 0.908904 | − | 0.417004i | \(-0.136920\pi\) |
−0.995637 | + | 0.0933159i | \(0.970253\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.68892 | − | 6.46295i | 0.384132 | − | 0.923278i | ||||
\(50\) | 0.573636 | − | 2.14084i | 0.0811244 | − | 0.302760i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.65817 | + | 0.206328i | −0.229947 | + | 0.0286126i | ||||
\(53\) | 2.52978 | + | 4.38171i | 0.347492 | + | 0.601875i | 0.985803 | − | 0.167904i | \(-0.0536999\pi\) |
−0.638311 | + | 0.769779i | \(0.720367\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.18863 | + | 1.84096i | −0.429955 | + | 0.248235i | ||||
\(56\) | 7.92268 | + | 1.58238i | 1.05871 | + | 0.211454i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 6.38300 | + | 1.71032i | 0.838129 | + | 0.224576i | ||||
\(59\) | 5.39402 | − | 5.39402i | 0.702242 | − | 0.702242i | −0.262650 | − | 0.964891i | \(-0.584596\pi\) |
0.964891 | + | 0.262650i | \(0.0845963\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.75223 | + | 3.89840i | −0.864534 | + | 0.499139i | −0.865528 | − | 0.500861i | \(-0.833017\pi\) |
0.000994018 | 1.00000i | \(0.499684\pi\) | ||||||||
\(62\) | 4.14523 | + | 7.17976i | 0.526445 | + | 0.911830i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.89512i | 1.11189i | ||||||||
\(65\) | 3.53311 | + | 8.70408i | 0.438228 | + | 1.07961i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.38240 | − | 12.6233i | −0.413226 | − | 1.54218i | −0.788363 | − | 0.615211i | \(-0.789071\pi\) |
0.375137 | − | 0.926970i | \(-0.377596\pi\) | |||||||
\(68\) | − | 1.31067i | − | 0.158942i | ||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.552160 | − | 8.52679i | −0.0659958 | − | 1.01915i | ||||
\(71\) | −2.97420 | − | 11.0999i | −0.352973 | − | 1.31731i | −0.883017 | − | 0.469341i | \(-0.844491\pi\) |
0.530044 | − | 0.847970i | \(-0.322175\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.43566 | + | 2.26033i | 0.987320 | + | 0.264552i | 0.716124 | − | 0.697973i | \(-0.245914\pi\) |
0.271196 | + | 0.962524i | \(0.412581\pi\) | |||||||
\(74\) | −11.4110 | −1.32650 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.80087 | + | 0.750490i | 0.321282 | + | 0.0860871i | ||||
\(77\) | −2.46748 | + | 2.80917i | −0.281195 | + | 0.320135i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.78395 | + | 4.82194i | −0.313219 | + | 0.542511i | −0.979057 | − | 0.203585i | \(-0.934741\pi\) |
0.665838 | + | 0.746096i | \(0.268074\pi\) | |||||||
\(80\) | 7.19330 | − | 1.92744i | 0.804236 | − | 0.215494i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.03310 | − | 10.4496i | −0.666244 | − | 1.15397i | ||||
\(83\) | 0.445401 | + | 0.445401i | 0.0488891 | + | 0.0488891i | 0.731129 | − | 0.682240i | \(-0.238994\pi\) |
−0.682240 | + | 0.731129i | \(0.738994\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.11727 | + | 1.90707i | −0.771977 | + | 0.206851i | ||||
\(86\) | 1.17553 | − | 0.314981i | 0.126760 | − | 0.0339653i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.73724 | − | 2.15770i | −0.398391 | − | 0.230011i | ||||
\(89\) | −0.108264 | + | 0.108264i | −0.0114760 | + | 0.0114760i | −0.712821 | − | 0.701346i | \(-0.752583\pi\) |
0.701346 | + | 0.712821i | \(0.252583\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.23298 | + | 7.22149i | 0.653394 | + | 0.757018i | ||||
\(92\) | −0.472125 | −0.0492224 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.46625 | − | 1.42389i | −0.254375 | − | 0.146863i | ||||
\(95\) | − | 16.3014i | − | 1.67249i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.87974 | + | 0.771623i | −0.292393 | + | 0.0783465i | −0.402034 | − | 0.915625i | \(-0.631697\pi\) |
0.109641 | + | 0.993971i | \(0.465030\pi\) | |||||||
\(98\) | −3.30799 | − | 8.02176i | −0.334157 | − | 0.810320i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.414314 | + | 0.717613i | 0.0414314 | + | 0.0717613i | ||||
\(101\) | −2.65050 | + | 4.59080i | −0.263735 | + | 0.456802i | −0.967231 | − | 0.253897i | \(-0.918288\pi\) |
0.703497 | + | 0.710699i | \(0.251621\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.40977 | + | 4.17384i | −0.237442 | + | 0.411261i | −0.959979 | − | 0.280071i | \(-0.909642\pi\) |
0.722538 | + | 0.691331i | \(0.242975\pi\) | |||||||
\(104\) | −6.76437 | + | 8.68700i | −0.663301 | + | 0.851831i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.05803 | + | 1.62325i | 0.588408 | + | 0.157664i | ||||
\(107\) | −1.77743 | −0.171830 | −0.0859151 | − | 0.996302i | \(-0.527381\pi\) | ||||
−0.0859151 | + | 0.996302i | \(0.527381\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.63303 | − | 2.58116i | −0.922677 | − | 0.247231i | −0.233948 | − | 0.972249i | \(-0.575165\pi\) |
−0.688729 | + | 0.725019i | \(0.741831\pi\) | |||||||
\(110\) | −1.18126 | + | 4.40852i | −0.112629 | + | 0.420336i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 6.29125 | − | 4.19654i | 0.594467 | − | 0.396536i | ||||
\(113\) | −8.26089 | + | 14.3083i | −0.777119 | + | 1.34601i | 0.156477 | + | 0.987682i | \(0.449986\pi\) |
−0.933596 | + | 0.358328i | \(0.883347\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.686957 | + | 2.56376i | 0.0640591 | + | 0.239072i | ||||
\(116\) | −2.13959 | + | 1.23530i | −0.198656 | + | 0.114694i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 9.45589i | − | 0.870485i | ||||||
\(119\) | −6.22475 | + | 4.15219i | −0.570622 | + | 0.380631i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.79671 | + | 4.50143i | −0.708792 | + | 0.409221i | ||||
\(122\) | −2.50142 | + | 9.33544i | −0.226468 | + | 0.845191i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.99394 | − | 0.802223i | −0.268863 | − | 0.0720417i | ||||
\(125\) | −5.91742 | + | 5.91742i | −0.529270 | + | 0.529270i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.35860 | + | 3.09379i | −0.475499 | + | 0.274529i | −0.718539 | − | 0.695487i | \(-0.755189\pi\) |
0.243040 | + | 0.970016i | \(0.421855\pi\) | |||||||
\(128\) | 4.17049 | + | 4.17049i | 0.368623 | + | 0.368623i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 10.7261 | + | 4.53244i | 0.940740 | + | 0.397521i | ||||
\(131\) | 2.15037 | + | 1.24152i | 0.187879 | + | 0.108472i | 0.590989 | − | 0.806680i | \(-0.298738\pi\) |
−0.403110 | + | 0.915151i | \(0.632071\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.30882 | − | 15.6797i | −0.460333 | − | 1.35960i | ||||
\(134\) | −14.0292 | − | 8.09978i | −1.21194 | − | 0.699715i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.10662 | − | 6.10662i | −0.523639 | − | 0.523639i | ||||
\(137\) | −9.30838 | − | 9.30838i | −0.795268 | − | 0.795268i | 0.187077 | − | 0.982345i | \(-0.440099\pi\) |
−0.982345 | + | 0.187077i | \(0.940099\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 15.3254 | + | 8.84813i | 1.29988 | + | 0.750488i | 0.980384 | − | 0.197098i | \(-0.0631516\pi\) |
0.319500 | + | 0.947586i | \(0.396485\pi\) | |||||||
\(140\) | 2.40016 | + | 2.10822i | 0.202851 | + | 0.178177i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −12.3361 | − | 7.12227i | −1.03523 | − | 0.597688i | ||||
\(143\) | −1.91642 | − | 4.72124i | −0.160259 | − | 0.394810i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.82114 | + | 9.82114i | 0.815602 | + | 0.815602i | ||||
\(146\) | 9.37521 | − | 5.41278i | 0.775898 | − | 0.447965i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.01666 | − | 3.01666i | 0.247968 | − | 0.247968i | ||||
\(149\) | −16.1655 | − | 4.33154i | −1.32433 | − | 0.354854i | −0.473733 | − | 0.880669i | \(-0.657094\pi\) |
−0.850599 | + | 0.525815i | \(0.823760\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.27755 | + | 8.49993i | −0.185344 | + | 0.691715i | 0.809212 | + | 0.587516i | \(0.199894\pi\) |
−0.994557 | + | 0.104198i | \(0.966772\pi\) | |||||||
\(152\) | 16.5463 | − | 9.55303i | 1.34209 | − | 0.774853i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.299501 | + | 4.62507i | 0.0241345 | + | 0.372699i | ||||
\(155\) | 17.4251i | 1.39962i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.38854 | − | 2.53373i | 0.350244 | − | 0.202213i | −0.314549 | − | 0.949241i | \(-0.601853\pi\) |
0.664793 | + | 0.747028i | \(0.268520\pi\) | |||||||
\(158\) | 1.78633 | + | 6.66668i | 0.142113 | + | 0.530373i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.34025 | + | 5.78549i | −0.264070 | + | 0.457383i | ||||
\(161\) | 1.49569 | + | 2.24226i | 0.117877 | + | 0.176715i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.650182 | + | 2.42651i | −0.0509262 | + | 0.190059i | −0.986703 | − | 0.162534i | \(-0.948033\pi\) |
0.935777 | + | 0.352593i | \(0.114700\pi\) | |||||||
\(164\) | 4.35746 | + | 1.16758i | 0.340261 | + | 0.0911726i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.780801 | 0.0606019 | ||||||||
\(167\) | 2.57849 | + | 0.690905i | 0.199530 | + | 0.0534639i | 0.357200 | − | 0.934028i | \(-0.383732\pi\) |
−0.157670 | + | 0.987492i | \(0.550398\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.6036 | + | 3.18588i | −0.969506 | + | 0.245068i | ||||
\(170\) | −4.56683 | + | 7.90998i | −0.350260 | + | 0.606668i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.227498 | + | 0.394039i | −0.0173466 | + | 0.0300452i | ||||
\(173\) | −0.770968 | − | 1.33536i | −0.0586156 | − | 0.101525i | 0.835229 | − | 0.549903i | \(-0.185335\pi\) |
−0.893844 | + | 0.448378i | \(0.852002\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.09561 | − | 4.24109i | 0.158413 | − | 0.320596i | ||||
\(176\) | −3.90177 | + | 1.04547i | −0.294107 | + | 0.0788056i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.189790i | 0.0142254i | ||||||||
\(179\) | −15.3074 | − | 8.83772i | −1.14413 | − | 0.660562i | −0.196678 | − | 0.980468i | \(-0.563015\pi\) |
−0.947449 | + | 0.319906i | \(0.896349\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.905550 | 0.0673090 | 0.0336545 | − | 0.999434i | \(-0.489285\pi\) | ||||
0.0336545 | + | 0.999434i | \(0.489285\pi\) | |||||||
\(182\) | 11.7931 | + | 0.866445i | 0.874159 | + | 0.0642252i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.19970 | + | 2.19970i | −0.162164 | + | 0.162164i | ||||
\(185\) | −20.7706 | − | 11.9919i | −1.52708 | − | 0.881662i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.86053 | − | 1.03442i | 0.282310 | − | 0.0756446i | ||||
\(188\) | 1.02842 | − | 0.275564i | 0.0750052 | − | 0.0200976i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −14.2884 | − | 14.2884i | −1.03659 | − | 1.03659i | ||||
\(191\) | 11.7133 | + | 20.2881i | 0.847546 | + | 1.46799i | 0.883392 | + | 0.468635i | \(0.155254\pi\) |
−0.0358466 | + | 0.999357i | \(0.511413\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.5170 | − | 3.08597i | 0.829011 | − | 0.222133i | 0.180729 | − | 0.983533i | \(-0.442154\pi\) |
0.648282 | + | 0.761400i | \(0.275488\pi\) | |||||||
\(194\) | −1.84780 | + | 3.20048i | −0.132664 | + | 0.229781i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.99519 | + | 1.24616i | 0.213942 | + | 0.0890112i | ||||
\(197\) | −10.0281 | − | 2.68702i | −0.714472 | − | 0.191442i | −0.116768 | − | 0.993159i | \(-0.537253\pi\) |
−0.597704 | + | 0.801717i | \(0.703920\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.97515 | −0.281791 | −0.140896 | − | 0.990024i | \(-0.544998\pi\) | ||||
−0.140896 | + | 0.990024i | \(0.544998\pi\) | |||||||
\(200\) | 5.27383 | + | 1.41312i | 0.372916 | + | 0.0999225i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.70071 | + | 6.34712i | 0.119661 | + | 0.446582i | ||||
\(203\) | 12.6450 | + | 6.24815i | 0.887504 | + | 0.438534i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − | 25.3610i | − | 1.77129i | ||||||
\(206\) | 1.54624 | + | 5.77064i | 0.107731 | + | 0.402059i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.27256 | + | 10.2270i | 0.0882361 | + | 0.709117i | ||||
\(209\) | 8.84215i | 0.611624i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.47669 | + | 4.28976i | 0.170503 | + | 0.295319i | 0.938596 | − | 0.345019i | \(-0.112128\pi\) |
−0.768093 | + | 0.640338i | \(0.778794\pi\) | |||||||
\(212\) | −2.03066 | + | 1.17240i | −0.139467 | + | 0.0805211i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.55794 | + | 1.55794i | −0.106499 | + | 0.106499i | ||||
\(215\) | 2.47075 | + | 0.662035i | 0.168504 | + | 0.0451504i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.67477 | + | 16.7605i | 0.385228 | + | 1.13778i | ||||
\(218\) | −10.7059 | + | 6.18107i | −0.725097 | + | 0.418635i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.853175 | − | 1.47774i | −0.0575211 | − | 0.0996294i | ||||
\(221\) | −1.25911 | − | 10.1189i | −0.0846968 | − | 0.680673i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.57716 | − | 17.0822i | 0.306509 | − | 1.14391i | −0.625129 | − | 0.780521i | \(-0.714954\pi\) |
0.931638 | − | 0.363387i | \(-0.118380\pi\) | |||||||
\(224\) | −1.32872 | + | 6.65264i | −0.0887786 | + | 0.444498i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 5.30063 | + | 19.7822i | 0.352593 | + | 1.31589i | ||||
\(227\) | 10.7232 | + | 10.7232i | 0.711725 | + | 0.711725i | 0.966896 | − | 0.255171i | \(-0.0821317\pi\) |
−0.255171 | + | 0.966896i | \(0.582132\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.87857 | + | 14.4750i | 0.256303 | + | 0.956536i | 0.967361 | + | 0.253403i | \(0.0815498\pi\) |
−0.711058 | + | 0.703134i | \(0.751784\pi\) | |||||||
\(230\) | 2.84930 | + | 1.64505i | 0.187877 | + | 0.108471i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.21327 | + | 15.7241i | −0.276615 | + | 1.03234i | ||||
\(233\) | −5.38039 | − | 3.10637i | −0.352481 | − | 0.203505i | 0.313297 | − | 0.949655i | \(-0.398567\pi\) |
−0.665777 | + | 0.746150i | \(0.731900\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.99277 | − | 5.18363i | −0.195227 | − | 0.338142i | ||||
\(236\) | 2.49981 | + | 2.49981i | 0.162724 | + | 0.162724i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.81663 | + | 9.09555i | −0.117755 | + | 0.589577i | ||||
\(239\) | 14.1820 | − | 14.1820i | 0.917358 | − | 0.917358i | −0.0794785 | − | 0.996837i | \(-0.525326\pi\) |
0.996837 | + | 0.0794785i | \(0.0253255\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.812288 | − | 0.812288i | 0.0523241 | − | 0.0523241i | −0.680461 | − | 0.732785i | \(-0.738220\pi\) |
0.732785 | + | 0.680461i | \(0.238220\pi\) | |||||||
\(242\) | −2.88836 | + | 10.7795i | −0.185671 | + | 0.692934i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.80668 | − | 3.12926i | −0.115661 | − | 0.200330i | ||||
\(245\) | 2.40885 | − | 18.0779i | 0.153896 | − | 1.15495i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 22.3448 | + | 3.10342i | 1.42177 | + | 0.197466i | ||||
\(248\) | −17.6869 | + | 10.2115i | −1.12312 | + | 0.648433i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 10.3734i | 0.656073i | ||||||||
\(251\) | 14.3378 | − | 24.8339i | 0.904997 | − | 1.56750i | 0.0840758 | − | 0.996459i | \(-0.473206\pi\) |
0.820921 | − | 0.571041i | \(-0.193460\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.372617 | − | 1.39062i | −0.0234262 | − | 0.0874278i | ||||
\(254\) | −1.98514 | + | 7.40865i | −0.124559 | + | 0.464860i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.4792 | −0.654952 | ||||||||
\(257\) | 19.6195 | 1.22383 | 0.611916 | − | 0.790922i | \(-0.290399\pi\) | ||||
0.611916 | + | 0.790922i | \(0.290399\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −23.8837 | − | 4.77025i | −1.48406 | − | 0.296409i | ||||
\(260\) | −4.03383 | + | 1.63739i | −0.250167 | + | 0.101546i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.97304 | − | 0.796624i | 0.183675 | − | 0.0492156i | ||||
\(263\) | 4.04343 | − | 7.00342i | 0.249328 | − | 0.431850i | −0.714011 | − | 0.700134i | \(-0.753123\pi\) |
0.963340 | + | 0.268285i | \(0.0864568\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.32114 | + | 9.32114i | 0.572593 | + | 0.572593i | ||||
\(266\) | −18.3967 | − | 9.09021i | −1.12798 | − | 0.557357i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.85015 | − | 1.56754i | 0.357355 | − | 0.0957529i | ||||
\(269\) | 14.3415i | 0.874415i | 0.899361 | + | 0.437207i | \(0.144032\pi\) | ||||
−0.899361 | + | 0.437207i | \(0.855968\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 18.4862 | − | 18.4862i | 1.12295 | − | 1.12295i | 0.131660 | − | 0.991295i | \(-0.457969\pi\) |
0.991295 | − | 0.131660i | \(-0.0420306\pi\) | |||||||
\(272\) | −8.08376 | −0.490150 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −16.3179 | −0.985799 | ||||||||
\(275\) | −1.78671 | + | 1.78671i | −0.107743 | + | 0.107743i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 5.86837i | − | 0.352596i | −0.984337 | − | 0.176298i | \(-0.943588\pi\) | ||
0.984337 | − | 0.176298i | \(-0.0564123\pi\) | |||||||
\(278\) | 21.1885 | − | 5.67744i | 1.27080 | − | 0.340510i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 21.0052 | − | 1.36021i | 1.25530 | − | 0.0812883i | ||||
\(281\) | −16.4096 | − | 16.4096i | −0.978913 | − | 0.978913i | 0.0208690 | − | 0.999782i | \(-0.493357\pi\) |
−0.999782 | + | 0.0208690i | \(0.993357\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.1979 | + | 19.3953i | −0.665645 | + | 1.15293i | 0.313465 | + | 0.949600i | \(0.398510\pi\) |
−0.979110 | + | 0.203331i | \(0.934823\pi\) | |||||||
\(284\) | 5.14413 | − | 1.37837i | 0.305248 | − | 0.0817909i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.81800 | − | 2.45847i | −0.344026 | − | 0.145372i | ||||
\(287\) | −8.25922 | − | 24.3937i | −0.487527 | − | 1.43992i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.00168 | −0.529511 | ||||||||
\(290\) | 17.2168 | 1.01100 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.04753 | + | 3.90943i | −0.0613020 | + | 0.228782i | ||||
\(293\) | −1.22119 | − | 4.55756i | −0.0713429 | − | 0.266255i | 0.921036 | − | 0.389477i | \(-0.127344\pi\) |
−0.992379 | + | 0.123221i | \(0.960677\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.93730 | − | 17.2119i | 0.578572 | − | 1.00212i | ||||
\(296\) | − | 28.1102i | − | 1.63387i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −17.9660 | + | 10.3727i | −1.04074 | + | 0.600873i | ||||
\(299\) | −3.64500 | + | 0.453552i | −0.210796 | + | 0.0262296i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.59212 | − | 0.167855i | 0.149407 | − | 0.00967499i | ||||
\(302\) | 5.45401 | + | 9.44663i | 0.313843 | + | 0.543592i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.62876 | − | 17.2748i | 0.265478 | − | 0.990776i | ||||
\(305\) | −14.3639 | + | 14.3639i | −0.822474 | + | 0.822474i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.77977 | − | 3.77977i | 0.215723 | − | 0.215723i | −0.590970 | − | 0.806693i | \(-0.701255\pi\) |
0.806693 | + | 0.590970i | \(0.201255\pi\) | |||||||
\(308\) | −1.30189 | − | 1.14353i | −0.0741819 | − | 0.0651587i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 15.2734 | + | 15.2734i | 0.867469 | + | 0.867469i | ||||
\(311\) | −1.26681 | − | 2.19418i | −0.0718343 | − | 0.124421i | 0.827871 | − | 0.560919i | \(-0.189552\pi\) |
−0.899705 | + | 0.436498i | \(0.856219\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.62033 | + | 2.66755i | 0.261157 | + | 0.150779i | 0.624862 | − | 0.780735i | \(-0.285155\pi\) |
−0.363705 | + | 0.931514i | \(0.618489\pi\) | |||||||
\(314\) | 1.62578 | − | 6.06748i | 0.0917478 | − | 0.342408i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.23469 | − | 1.29020i | −0.125711 | − | 0.0725792i | ||||
\(317\) | 3.28216 | + | 12.2492i | 0.184344 | + | 0.687982i | 0.994770 | + | 0.102141i | \(0.0325692\pi\) |
−0.810426 | + | 0.585841i | \(0.800764\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.32715 | − | 5.32715i | −0.298263 | − | 0.298263i | ||||
\(320\) | 5.99817 | + | 22.3855i | 0.335308 | + | 1.25139i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.27637 | + | 0.654381i | 0.182585 | + | 0.0364672i | ||||
\(323\) | −4.57984 | + | 17.0922i | −0.254829 | + | 0.951035i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.88806 | + | 5.14226i | 0.215671 | + | 0.285241i | ||||
\(326\) | 1.55698 | + | 2.69677i | 0.0862333 | + | 0.149360i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 25.7420 | − | 14.8622i | 1.42137 | − | 0.820626i | ||||
\(329\) | −4.56676 | − | 4.01128i | −0.251773 | − | 0.221149i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.64629 | − | 2.31677i | −0.475243 | − | 0.127341i | 0.0132438 | − | 0.999912i | \(-0.495784\pi\) |
−0.488487 | + | 0.872571i | \(0.662451\pi\) | |||||||
\(332\) | −0.206417 | + | 0.206417i | −0.0113286 | + | 0.0113286i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.86568 | − | 1.65450i | 0.156803 | − | 0.0905303i | ||||
\(335\) | −17.0243 | − | 29.4870i | −0.930137 | − | 1.61105i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 8.38324i | − | 0.456664i | −0.973583 | − | 0.228332i | \(-0.926673\pi\) | ||
0.973583 | − | 0.228332i | \(-0.0733272\pi\) | |||||||
\(338\) | −8.25476 | + | 13.8397i | −0.449000 | + | 0.752781i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.883813 | − | 3.29844i | −0.0479315 | − | 0.178883i | ||||
\(341\) | − | 9.45165i | − | 0.511836i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.57038 | − | 18.1728i | −0.192782 | − | 0.981242i | ||||
\(344\) | 0.775938 | + | 2.89584i | 0.0418358 | + | 0.156133i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.84623 | − | 0.494695i | −0.0992537 | − | 0.0265949i | ||||
\(347\) | 27.5764 | 1.48038 | 0.740190 | − | 0.672398i | \(-0.234735\pi\) | ||||
0.740190 | + | 0.672398i | \(0.234735\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −34.2817 | − | 9.18577i | −1.83506 | − | 0.491703i | −0.836633 | − | 0.547765i | \(-0.815479\pi\) |
−0.998427 | + | 0.0560618i | \(0.982146\pi\) | |||||||
\(350\) | −1.88054 | − | 5.55421i | −0.100519 | − | 0.296885i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.81181 | − | 3.13814i | 0.0965697 | − | 0.167264i | ||||
\(353\) | 7.01577 | − | 1.87987i | 0.373412 | − | 0.100055i | −0.0672321 | − | 0.997737i | \(-0.521417\pi\) |
0.440644 | + | 0.897682i | \(0.354750\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −14.9697 | − | 25.9284i | −0.794512 | − | 1.37613i | ||||
\(356\) | −0.0501740 | − | 0.0501740i | −0.00265922 | − | 0.00265922i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −21.1635 | + | 5.67075i | −1.11853 | + | 0.299709i | ||||
\(359\) | −15.2059 | + | 4.07442i | −0.802539 | + | 0.215040i | −0.636698 | − | 0.771113i | \(-0.719700\pi\) |
−0.165841 | + | 0.986153i | \(0.553034\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.4486 | − | 10.0740i | −0.918349 | − | 0.530209i | ||||
\(362\) | 0.793728 | − | 0.793728i | 0.0417174 | − | 0.0417174i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.34673 | + | 2.88862i | −0.175417 | + | 0.151405i | ||||
\(365\) | 22.7534 | 1.19097 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.280231 | + | 0.161792i | 0.0146280 | + | 0.00844546i | 0.507296 | − | 0.861772i | \(-0.330645\pi\) |
−0.492668 | + | 0.870217i | \(0.663978\pi\) | |||||||
\(368\) | 2.91190i | 0.151793i | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −28.7168 | + | 7.69465i | −1.49292 | + | 0.400026i | ||||
\(371\) | 12.0012 | + | 5.93005i | 0.623072 | + | 0.307873i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 16.1440 | + | 27.9622i | 0.835905 | + | 1.44783i | 0.893292 | + | 0.449478i | \(0.148390\pi\) |
−0.0573868 | + | 0.998352i | \(0.518277\pi\) | |||||||
\(374\) | 2.47712 | − | 4.29050i | 0.128089 | − | 0.221856i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.50767 | − | 6.07547i | 0.180894 | − | 0.313318i | ||||
\(377\) | −15.3319 | + | 11.5924i | −0.789631 | + | 0.597040i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13.3271 | + | 3.57099i | 0.684568 | + | 0.183430i | 0.584308 | − | 0.811532i | \(-0.301366\pi\) |
0.100260 | + | 0.994961i | \(0.468033\pi\) | |||||||
\(380\) | 7.55474 | 0.387550 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 28.0497 | + | 7.51589i | 1.43515 | + | 0.384547i | ||||
\(383\) | −4.35337 | + | 16.2470i | −0.222447 | + | 0.830183i | 0.760965 | + | 0.648793i | \(0.224726\pi\) |
−0.983411 | + | 0.181389i | \(0.941941\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.31538 | + | 8.73345i | −0.219932 | + | 0.445098i | ||||
\(386\) | 7.38992 | − | 12.7997i | 0.376137 | − | 0.651489i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.357602 | − | 1.33459i | −0.0181545 | − | 0.0677534i | ||||
\(389\) | −15.4854 | + | 8.94050i | −0.785141 | + | 0.453302i | −0.838249 | − | 0.545287i | \(-0.816421\pi\) |
0.0531079 | + | 0.998589i | \(0.483087\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 2.88112i | − | 0.145705i | ||||||
\(392\) | 19.7611 | − | 8.14904i | 0.998088 | − | 0.411589i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −11.1450 | + | 6.43456i | −0.561477 | + | 0.324169i | ||||
\(395\) | −3.75455 | + | 14.0122i | −0.188912 | + | 0.705030i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.40627 | + | 1.71656i | 0.321522 | + | 0.0861515i | 0.415970 | − | 0.909378i | \(-0.363442\pi\) |
−0.0944484 | + | 0.995530i | \(0.530109\pi\) | |||||||
\(398\) | −3.48428 | + | 3.48428i | −0.174651 | + | 0.174651i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.42599 | − | 2.55534i | 0.221299 | − | 0.127767i | ||||
\(401\) | 15.5895 | + | 15.5895i | 0.778503 | + | 0.778503i | 0.979576 | − | 0.201073i | \(-0.0644430\pi\) |
−0.201073 | + | 0.979576i | \(0.564443\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −23.8851 | − | 3.31734i | −1.18980 | − | 0.165249i | ||||
\(404\) | −2.12757 | − | 1.22835i | −0.105850 | − | 0.0611127i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 16.5601 | − | 5.60692i | 0.821865 | − | 0.278267i | ||||
\(407\) | 11.2663 | + | 6.50460i | 0.558450 | + | 0.322421i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −11.7049 | − | 11.7049i | −0.578770 | − | 0.578770i | 0.355794 | − | 0.934564i | \(-0.384210\pi\) |
−0.934564 | + | 0.355794i | \(0.884210\pi\) | |||||||
\(410\) | −22.2293 | − | 22.2293i | −1.09783 | − | 1.09783i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1.93433 | − | 1.11679i | −0.0952975 | − | 0.0550201i | ||||
\(413\) | 3.95295 | − | 19.7917i | 0.194512 | − | 0.973885i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.42124 | + | 0.820553i | 0.0697659 | + | 0.0402793i | ||||
\(416\) | −7.29444 | − | 5.68001i | −0.357639 | − | 0.278486i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 7.75028 | + | 7.75028i | 0.379079 | + | 0.379079i | ||||
\(419\) | 23.3376 | − | 13.4740i | 1.14012 | − | 0.658247i | 0.193658 | − | 0.981069i | \(-0.437965\pi\) |
0.946460 | + | 0.322822i | \(0.104631\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.8511 | − | 11.8511i | 0.577587 | − | 0.577587i | −0.356651 | − | 0.934238i | \(-0.616081\pi\) |
0.934238 | + | 0.356651i | \(0.116081\pi\) | |||||||
\(422\) | 5.93090 | + | 1.58918i | 0.288712 | + | 0.0773601i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.99877 | + | 14.9236i | −0.194197 | + | 0.724755i | ||||
\(425\) | −4.37921 | + | 2.52834i | −0.212423 | + | 0.122642i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −9.13821 | + | 18.4939i | −0.442229 | + | 0.894982i | ||||
\(428\) | − | 0.823732i | − | 0.0398166i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.74593 | − | 1.58537i | 0.132421 | − | 0.0764531i | ||||
\(431\) | −1.60974 | − | 6.00762i | −0.0775383 | − | 0.289377i | 0.916259 | − | 0.400587i | \(-0.131194\pi\) |
−0.993797 | + | 0.111211i | \(0.964527\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.55807 | − | 9.62686i | 0.267104 | − | 0.462637i | −0.701009 | − | 0.713153i | \(-0.747267\pi\) |
0.968113 | + | 0.250515i | \(0.0806000\pi\) | |||||||
\(434\) | 19.6649 | + | 9.71681i | 0.943943 | + | 0.466422i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.19622 | − | 4.46434i | 0.0572884 | − | 0.213803i | ||||
\(437\) | 6.15688 | + | 1.64973i | 0.294524 | + | 0.0789174i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 21.2653 | 1.01494 | 0.507470 | − | 0.861670i | \(-0.330581\pi\) | ||||
0.507470 | + | 0.861670i | \(0.330581\pi\) | |||||||
\(440\) | −10.8601 | − | 2.90996i | −0.517736 | − | 0.138727i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −9.97303 | − | 7.76577i | −0.474369 | − | 0.369380i | ||||
\(443\) | 3.28510 | − | 5.68996i | 0.156080 | − | 0.270338i | −0.777372 | − | 0.629041i | \(-0.783448\pi\) |
0.933452 | + | 0.358703i | \(0.116781\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.199453 | + | 0.345463i | −0.00945497 | + | 0.0163765i | ||||
\(446\) | −10.9609 | − | 18.9848i | −0.519012 | − | 0.898955i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 13.0596 | + | 19.5783i | 0.617008 | + | 0.924987i | ||||
\(449\) | 19.7570 | − | 5.29388i | 0.932392 | − | 0.249834i | 0.239518 | − | 0.970892i | \(-0.423011\pi\) |
0.692874 | + | 0.721058i | \(0.256344\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.7562i | 0.647755i | ||||||||
\(452\) | −6.63104 | − | 3.82843i | −0.311898 | − | 0.180074i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 18.7981 | 0.882241 | ||||||||
\(455\) | 20.5555 | + | 13.9706i | 0.963658 | + | 0.654951i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.506232 | − | 0.506232i | 0.0236805 | − | 0.0236805i | −0.695167 | − | 0.718848i | \(-0.744670\pi\) |
0.718848 | + | 0.695167i | \(0.244670\pi\) | |||||||
\(458\) | 16.0872 | + | 9.28795i | 0.751706 | + | 0.433998i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.18815 | + | 0.318364i | −0.0553978 | + | 0.0148438i | ||||
\(461\) | −18.7893 | + | 5.03457i | −0.875104 | + | 0.234484i | −0.668294 | − | 0.743897i | \(-0.732975\pi\) |
−0.206811 | + | 0.978381i | \(0.566308\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 23.8616 | + | 23.8616i | 1.10894 | + | 1.10894i | 0.993290 | + | 0.115653i | \(0.0368962\pi\) |
0.115653 | + | 0.993290i | \(0.463104\pi\) | |||||||
\(464\) | 7.61887 | + | 13.1963i | 0.353697 | + | 0.612621i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −7.43877 | + | 1.99321i | −0.344594 | + | 0.0923338i | ||||
\(467\) | 2.96432 | − | 5.13436i | 0.137173 | − | 0.237590i | −0.789253 | − | 0.614068i | \(-0.789532\pi\) |
0.926425 | + | 0.376479i | \(0.122865\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −25.9779 | − | 22.8181i | −1.19955 | − | 1.05364i | ||||
\(470\) | −7.16674 | − | 1.92032i | −0.330577 | − | 0.0885778i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 23.2940 | 1.07219 | ||||||||
\(473\) | −1.34017 | − | 0.359099i | −0.0616213 | − | 0.0165114i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.89545 | − | 10.8060i | −0.132852 | − | 0.495812i | ||||
\(476\) | −1.92429 | − | 2.88480i | −0.0881999 | − | 0.132225i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | − | 24.8615i | − | 1.13714i | ||||||
\(479\) | −5.78255 | − | 21.5808i | −0.264211 | − | 0.986050i | −0.962731 | − | 0.270459i | \(-0.912824\pi\) |
0.698520 | − | 0.715590i | \(-0.253842\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 20.3919 | − | 26.1879i | 0.929791 | − | 1.19406i | ||||
\(482\) | − | 1.42397i | − | 0.0648599i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.08615 | − | 3.61332i | −0.0948249 | − | 0.164242i | ||||
\(485\) | −6.72683 | + | 3.88374i | −0.305450 | + | 0.176351i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.79944 | + | 3.79944i | −0.172169 | + | 0.172169i | −0.787932 | − | 0.615763i | \(-0.788848\pi\) |
0.615763 | + | 0.787932i | \(0.288848\pi\) | |||||||
\(488\) | −22.9973 | − | 6.16211i | −1.04104 | − | 0.278946i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −13.7341 | − | 17.9569i | −0.620445 | − | 0.811211i | ||||
\(491\) | −8.53958 | + | 4.93033i | −0.385386 | + | 0.222503i | −0.680159 | − | 0.733065i | \(-0.738089\pi\) |
0.294773 | + | 0.955567i | \(0.404756\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.53834 | − | 13.0568i | −0.339510 | − | 0.588048i | ||||
\(494\) | 22.3058 | − | 16.8654i | 1.00359 | − | 0.758811i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.94783 | + | 18.4655i | −0.222164 | + | 0.829128i | ||||
\(497\) | −22.8428 | − | 20.0643i | −1.02464 | − | 0.900007i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.0722859 | − | 0.269775i | −0.00323596 | − | 0.0120768i | 0.964289 | − | 0.264852i | \(-0.0853232\pi\) |
−0.967525 | + | 0.252776i | \(0.918657\pi\) | |||||||
\(500\) | −2.74237 | − | 2.74237i | −0.122643 | − | 0.122643i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9.19994 | − | 34.3346i | −0.410613 | − | 1.53243i | ||||
\(503\) | −14.3969 | − | 8.31203i | −0.641924 | − | 0.370615i | 0.143431 | − | 0.989660i | \(-0.454186\pi\) |
−0.785355 | + | 0.619045i | \(0.787520\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.57458 | + | 13.3405i | −0.159067 | + | 0.593645i | ||||
\(506\) | −1.54551 | − | 0.892300i | −0.0687062 | − | 0.0396676i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.43379 | − | 2.48339i | −0.0636140 | − | 0.110183i | ||||
\(509\) | 28.5307 | + | 28.5307i | 1.26460 | + | 1.26460i | 0.948839 | + | 0.315761i | \(0.102260\pi\) |
0.315761 | + | 0.948839i | \(0.397740\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 21.8856 | − | 7.41002i | 0.968161 | − | 0.327800i | ||||
\(512\) | −17.5262 | + | 17.5262i | −0.774556 | + | 0.774556i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 17.1968 | − | 17.1968i | 0.758519 | − | 0.758519i | ||||
\(515\) | −3.24992 | + | 12.1289i | −0.143208 | + | 0.534461i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.62333 | + | 2.81168i | 0.0713938 | + | 0.123658i | ||||
\(518\) | −25.1157 | + | 16.7533i | −1.10352 | + | 0.736097i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −11.1654 | + | 26.4231i | −0.489635 | + | 1.15873i | ||||
\(521\) | 15.9440 | − | 9.20528i | 0.698520 | − | 0.403291i | −0.108276 | − | 0.994121i | \(-0.534533\pi\) |
0.806796 | + | 0.590830i | \(0.201200\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.5007i | 0.546617i | 0.961926 | + | 0.273308i | \(0.0881180\pi\) | ||||
−0.961926 | + | 0.273308i | \(0.911882\pi\) | |||||||
\(524\) | −0.575369 | + | 0.996569i | −0.0251351 | + | 0.0435353i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.59448 | − | 9.68274i | −0.113125 | − | 0.422187i | ||||
\(527\) | 4.89553 | − | 18.2704i | 0.213253 | − | 0.795870i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.9622 | 0.954877 | ||||||||
\(530\) | 16.3402 | 0.709775 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 7.26660 | − | 2.46032i | 0.315047 | − | 0.106669i | ||||
\(533\) | 34.7631 | + | 4.82816i | 1.50576 | + | 0.209131i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.47307 | + | 1.19856i | −0.193388 | + | 0.0518181i | ||||
\(536\) | 19.9533 | − | 34.5602i | 0.861853 | − | 1.49277i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 12.5705 | + | 12.5705i | 0.541954 | + | 0.541954i | ||||
\(539\) | −1.30660 | + | 9.80573i | −0.0562791 | + | 0.422363i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.83805 | − | 0.760452i | 0.122017 | − | 0.0326944i | −0.197294 | − | 0.980344i | \(-0.563215\pi\) |
0.319311 | + | 0.947650i | \(0.396549\pi\) | |||||||
\(542\) | − | 32.4068i | − | 1.39199i | ||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.12771 | − | 5.12771i | 0.219849 | − | 0.219849i | ||||
\(545\) | −25.9830 | −1.11299 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 30.4775 | 1.30312 | 0.651561 | − | 0.758596i | \(-0.274114\pi\) | ||||
0.651561 | + | 0.758596i | \(0.274114\pi\) | |||||||
\(548\) | 4.31388 | − | 4.31388i | 0.184280 | − | 0.184280i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 3.13216i | 0.133556i | ||||||||
\(551\) | 32.2185 | − | 8.63291i | 1.37255 | − | 0.367774i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.951944 | + | 14.7005i | 0.0404808 | + | 0.625128i | ||||
\(554\) | −5.14372 | − | 5.14372i | −0.218536 | − | 0.218536i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.10058 | + | 7.10242i | −0.173904 | + | 0.301210i | ||||
\(557\) | 2.05024 | − | 0.549361i | 0.0868716 | − | 0.0232772i | −0.215121 | − | 0.976587i | \(-0.569015\pi\) |
0.301993 | + | 0.953310i | \(0.402348\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.37785 | + | 3.26069i | −0.0582767 | + | 0.137913i | ||||
\(560\) | 13.0027 | − | 14.8034i | 0.549466 | − | 0.625556i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −28.7665 | −1.21344 | ||||||||
\(563\) | 2.53466 | 0.106823 | 0.0534115 | − | 0.998573i | \(-0.482990\pi\) | ||||
0.0534115 | + | 0.998573i | \(0.482990\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −11.1410 | + | 41.5787i | −0.468705 | + | 1.74923i | ||||
\(566\) | 7.18516 | + | 26.8154i | 0.302015 | + | 1.12714i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 17.5453 | − | 30.3893i | 0.736184 | − | 1.27511i | ||||
\(569\) | 35.0697i | 1.47020i | 0.677960 | + | 0.735099i | \(0.262864\pi\) | ||||
−0.677960 | + | 0.735099i | \(0.737136\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 25.0216 | − | 14.4462i | 1.04712 | − | 0.604556i | 0.125279 | − | 0.992122i | \(-0.460017\pi\) |
0.921842 | + | 0.387566i | \(0.126684\pi\) | |||||||
\(572\) | 2.18801 | − | 0.888145i | 0.0914854 | − | 0.0371352i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −28.6208 | − | 14.1421i | −1.19461 | − | 0.590281i | ||||
\(575\) | 0.910748 | + | 1.57746i | 0.0379808 | + | 0.0657847i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −4.00778 | + | 14.9572i | −0.166846 | + | 0.622678i | 0.830952 | + | 0.556345i | \(0.187797\pi\) |
−0.997798 | + | 0.0663329i | \(0.978870\pi\) | |||||||
\(578\) | −7.89012 | + | 7.89012i | −0.328186 | + | 0.328186i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.55152 | + | 4.55152i | −0.188992 | + | 0.188992i | ||||
\(581\) | 1.63426 | + | 0.326407i | 0.0678005 | + | 0.0135416i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.05594 | − | 5.05594i | −0.209396 | − | 0.209396i | ||||
\(584\) | 13.3341 | + | 23.0953i | 0.551767 | + | 0.955689i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −5.06517 | − | 2.92438i | −0.209240 | − | 0.120805i | ||||
\(587\) | −3.18544 | + | 11.8882i | −0.131477 | + | 0.490679i | −0.999988 | − | 0.00499189i | \(-0.998411\pi\) |
0.868511 | + | 0.495671i | \(0.165078\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 36.2401 | + | 20.9232i | 1.49325 | + | 0.862127i | ||||
\(590\) | −6.37631 | − | 23.7967i | −0.262508 | − | 0.979694i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −18.6057 | − | 18.6057i | −0.764690 | − | 0.764690i | ||||
\(593\) | 8.83310 | + | 32.9656i | 0.362732 | + | 1.35373i | 0.870470 | + | 0.492222i | \(0.163815\pi\) |
−0.507738 | + | 0.861512i | \(0.669518\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −12.8653 | + | 14.6469i | −0.527426 | + | 0.600464i | ||||
\(596\) | 2.00741 | − | 7.49177i | 0.0822268 | − | 0.306875i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.79736 | + | 3.59245i | −0.114392 | + | 0.146906i | ||||
\(599\) | 5.99292 | + | 10.3800i | 0.244864 | + | 0.424117i | 0.962093 | − | 0.272720i | \(-0.0879234\pi\) |
−0.717229 | + | 0.696837i | \(0.754590\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.2242 | − | 9.94437i | 0.702588 | − | 0.405639i | −0.105723 | − | 0.994396i | \(-0.533716\pi\) |
0.808311 | + | 0.588756i | \(0.200382\pi\) | |||||||
\(602\) | 2.12490 | − | 2.41916i | 0.0866046 | − | 0.0985975i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.93922 | − | 1.05551i | −0.160284 | − | 0.0429481i | ||||
\(605\) | −16.5858 | + | 16.5858i | −0.674309 | + | 0.674309i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7.94179 | + | 4.58519i | −0.322347 | + | 0.186107i | −0.652438 | − | 0.757842i | \(-0.726254\pi\) |
0.330091 | + | 0.943949i | \(0.392921\pi\) | |||||||
\(608\) | 8.02164 | + | 13.8939i | 0.325321 | + | 0.563472i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 25.1803i | 1.01952i | ||||||||
\(611\) | 7.67511 | − | 3.11543i | 0.310502 | − | 0.126037i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.92157 | + | 18.3676i | 0.198780 | + | 0.741859i | 0.991256 | + | 0.131955i | \(0.0421254\pi\) |
−0.792475 | + | 0.609904i | \(0.791208\pi\) | |||||||
\(614\) | − | 6.62606i | − | 0.267406i | ||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −11.3936 | + | 0.737802i | −0.459061 | + | 0.0297269i | ||||
\(617\) | −6.74741 | − | 25.1817i | −0.271641 | − | 1.01378i | −0.958059 | − | 0.286570i | \(-0.907485\pi\) |
0.686419 | − | 0.727207i | \(-0.259182\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.48444 | − | 0.397756i | −0.0596649 | − | 0.0159872i | 0.228863 | − | 0.973459i | \(-0.426499\pi\) |
−0.288528 | + | 0.957471i | \(0.593166\pi\) | |||||||
\(620\) | −8.07550 | −0.324320 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −3.03362 | − | 0.812855i | −0.121637 | − | 0.0325925i | ||||
\(623\) | −0.0793402 | + | 0.397242i | −0.00317870 | + | 0.0159152i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −15.3715 | + | 26.6243i | −0.614861 | + | 1.06497i | ||||
\(626\) | 6.38794 | − | 1.71164i | 0.255314 | − | 0.0684111i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.17423 | + | 2.03383i | 0.0468570 | + | 0.0811587i | ||||
\(629\) | 18.4091 | + | 18.4091i | 0.734017 | + | 0.734017i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.46012 | − | 1.46304i | 0.217364 | − | 0.0582425i | −0.148493 | − | 0.988913i | \(-0.547442\pi\) |
0.365858 | + | 0.930671i | \(0.380776\pi\) | |||||||
\(632\) | −16.4230 | + | 4.40053i | −0.653271 | + | 0.175043i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 13.6135 | + | 7.85973i | 0.540659 | + | 0.312150i | ||||
\(635\) | −11.3992 | + | 11.3992i | −0.452365 | + | 0.452365i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 24.3213 | + | 6.74350i | 0.963645 | + | 0.267187i | ||||
\(638\) | −9.33866 | −0.369721 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 13.3077 | + | 7.68321i | 0.526034 | + | 0.303706i | ||||
\(641\) | − | 2.17816i | − | 0.0860321i | −0.999074 | − | 0.0430160i | \(-0.986303\pi\) | ||
0.999074 | − | 0.0430160i | \(-0.0136967\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −23.5550 | + | 6.31154i | −0.928918 | + | 0.248903i | −0.691393 | − | 0.722479i | \(-0.743003\pi\) |
−0.237525 | + | 0.971381i | \(0.576336\pi\) | |||||||
\(644\) | −1.03915 | + | 0.693162i | −0.0409484 | + | 0.0273144i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 10.9673 | + | 18.9959i | 0.431501 | + | 0.747382i | ||||
\(647\) | −12.8514 | + | 22.2592i | −0.505239 | + | 0.875100i | 0.494742 | + | 0.869040i | \(0.335262\pi\) |
−0.999982 | + | 0.00606025i | \(0.998071\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −5.39015 | + | 9.33602i | −0.211582 | + | 0.366471i | ||||
\(650\) | 7.91522 | + | 1.09932i | 0.310460 | + | 0.0431191i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.12455 | − | 0.301321i | −0.0440406 | − | 0.0118006i | ||||
\(653\) | −12.2898 | −0.480938 | −0.240469 | − | 0.970657i | \(-0.577301\pi\) | ||||
−0.240469 | + | 0.970657i | \(0.577301\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.24880 | + | 1.67436i | 0.244161 | + | 0.0654227i | ||||
\(656\) | 7.20122 | − | 26.8753i | 0.281160 | − | 1.04930i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −7.51878 | + | 0.486886i | −0.293113 | + | 0.0189808i | ||||
\(659\) | 22.5477 | − | 39.0538i | 0.878336 | − | 1.52132i | 0.0251690 | − | 0.999683i | \(-0.491988\pi\) |
0.853167 | − | 0.521639i | \(-0.174679\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.90501 | − | 14.5737i | −0.151887 | − | 0.566851i | −0.999352 | − | 0.0359990i | \(-0.988539\pi\) |
0.847465 | − | 0.530852i | \(-0.178128\pi\) | |||||||
\(662\) | −9.60929 | + | 5.54792i | −0.373475 | + | 0.215626i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.92346i | 0.0746446i | ||||||||
\(665\) | −23.9333 | − | 35.8796i | −0.928094 | − | 1.39135i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.70327 | + | 2.71543i | −0.182111 | + | 0.105142i | ||||
\(668\) | −0.320194 | + | 1.19498i | −0.0123887 | + | 0.0462351i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −40.7679 | − | 10.9237i | −1.57500 | − | 0.422020i | ||||
\(671\) | 7.79121 | − | 7.79121i | 0.300776 | − | 0.300776i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 10.7821 | − | 6.22503i | 0.415618 | − | 0.239957i | −0.277582 | − | 0.960702i | \(-0.589533\pi\) |
0.693201 | + | 0.720744i | \(0.256200\pi\) | |||||||
\(674\) | −7.34804 | − | 7.34804i | −0.283036 | − | 0.283036i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.47647 | − | 5.84101i | −0.0567872 | − | 0.224654i | ||||
\(677\) | −32.6889 | − | 18.8729i | −1.25634 | − | 0.725346i | −0.283976 | − | 0.958831i | \(-0.591654\pi\) |
−0.972360 | + | 0.233485i | \(0.924987\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −5.20546 | + | 5.92631i | −0.199767 | + | 0.227431i | ||||
\(680\) | −19.4858 | − | 11.2501i | −0.747245 | − | 0.431422i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8.28452 | − | 8.28452i | −0.317231 | − | 0.317231i | ||||
\(683\) | 12.7501 | + | 12.7501i | 0.487870 | + | 0.487870i | 0.907634 | − | 0.419763i | \(-0.137887\pi\) |
−0.419763 | + | 0.907634i | \(0.637887\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −29.7023 | − | 17.1486i | −1.13487 | − | 0.655216i | ||||
\(686\) | −19.0583 | − | 12.7993i | −0.727648 | − | 0.488679i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.43029 | + | 1.40313i | 0.0926541 | + | 0.0534938i | ||||
\(689\) | −14.5513 | + | 11.0022i | −0.554361 | + | 0.419152i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.2542 | − | 13.2542i | −0.504212 | − | 0.504212i | 0.408532 | − | 0.912744i | \(-0.366041\pi\) |
−0.912744 | + | 0.408532i | \(0.866041\pi\) | |||||||
\(692\) | 0.618858 | − | 0.357298i | 0.0235255 | − | 0.0135824i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 24.1712 | − | 24.1712i | 0.917525 | − | 0.917525i | ||||
\(695\) | 44.5344 | + | 11.9330i | 1.68929 | + | 0.452643i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.12510 | + | 26.5912i | −0.269883 | + | 1.00722i | ||||
\(698\) | −38.1000 | + | 21.9970i | −1.44210 | + | 0.832599i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.96549 | + | 0.971191i | 0.0742887 | + | 0.0367076i | ||||
\(701\) | 12.1851i | 0.460223i | 0.973164 | + | 0.230112i | \(0.0739092\pi\) | ||||
−0.973164 | + | 0.230112i | \(0.926091\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −49.8807 | + | 28.7986i | −1.88129 | + | 1.08616i | ||||
\(704\) | −3.25350 | − | 12.1422i | −0.122621 | − | 0.457628i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.50170 | − | 7.79717i | 0.169424 | − | 0.293450i | ||||
\(707\) | 0.906313 | + | 13.9958i | 0.0340854 | + | 0.526367i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.401518 | + | 1.49849i | −0.0150793 | + | 0.0562768i | −0.973056 | − | 0.230571i | \(-0.925941\pi\) |
0.957976 | + | 0.286848i | \(0.0926073\pi\) | |||||||
\(710\) | −35.8478 | − | 9.60540i | −1.34535 | − | 0.360484i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.467538 | −0.0175217 | ||||||||
\(713\) | −6.58129 | − | 1.76345i | −0.246471 | − | 0.0660417i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −8.00648 | − | 10.5892i | −0.299425 | − | 0.396013i | ||||
\(716\) | 4.09576 | − | 7.09406i | 0.153066 | − | 0.265118i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.75695 | + | 16.8995i | −0.364126 | + | 0.630685i | ||||
\(719\) | −11.1032 | − | 19.2313i | −0.414080 | − | 0.717207i | 0.581252 | − | 0.813724i | \(-0.302563\pi\) |
−0.995331 | + | 0.0965166i | \(0.969230\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.823996 | + | 12.7246i | 0.0306872 | + | 0.473891i | ||||
\(722\) | −24.1240 | + | 6.46400i | −0.897802 | + | 0.240565i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.419669i | 0.0155969i | ||||||||
\(725\) | 8.25472 | + | 4.76587i | 0.306573 | + | 0.177000i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.1830 | 0.748547 | 0.374274 | − | 0.927318i | \(-0.377892\pi\) | ||||
0.374274 | + | 0.927318i | \(0.377892\pi\) | |||||||
\(728\) | −2.13444 | + | 29.0515i | −0.0791075 | + | 1.07672i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 19.9437 | − | 19.9437i | 0.738150 | − | 0.738150i | ||||
\(731\) | −2.40461 | − | 1.38830i | −0.0889376 | − | 0.0513481i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.63806 | − | 0.974815i | 0.134375 | − | 0.0360056i | −0.191005 | − | 0.981589i | \(-0.561175\pi\) |
0.325380 | + | 0.945583i | \(0.394508\pi\) | |||||||
\(734\) | 0.387440 | − | 0.103814i | 0.0143007 | − | 0.00383185i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.84708 | − | 1.84708i | −0.0680844 | − | 0.0680844i | ||||
\(737\) | 9.23426 | + | 15.9942i | 0.340148 | + | 0.589154i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 16.7825 | − | 4.49685i | 0.617353 | − | 0.165419i | 0.0634288 | − | 0.997986i | \(-0.479796\pi\) |
0.553924 | + | 0.832567i | \(0.313130\pi\) | |||||||
\(740\) | 5.55754 | − | 9.62594i | 0.204299 | − | 0.353856i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 15.7170 | − | 5.32147i | 0.576990 | − | 0.195357i | ||||
\(743\) | −3.38542 | − | 0.907121i | −0.124199 | − | 0.0332790i | 0.196184 | − | 0.980567i | \(-0.437145\pi\) |
−0.320383 | + | 0.947288i | \(0.603812\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −43.6030 | −1.59749 | ||||||||
\(746\) | 38.6598 | + | 10.3589i | 1.41544 | + | 0.379265i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.479395 | + | 1.78913i | 0.0175284 | + | 0.0654169i | ||||
\(749\) | −3.91214 | + | 2.60957i | −0.142946 | + | 0.0953517i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 1.77791i | − | 0.0648770i | −0.999474 | − | 0.0324385i | \(-0.989673\pi\) | ||
0.999474 | − | 0.0324385i | \(-0.0103273\pi\) | |||||||
\(752\) | −1.69958 | − | 6.34293i | −0.0619774 | − | 0.231303i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.27768 | + | 23.5996i | −0.119366 | + | 0.859445i | ||||
\(755\) | 22.9267i | 0.834389i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −24.7027 | − | 42.7863i | −0.897834 | − | 1.55509i | −0.830258 | − | 0.557380i | \(-0.811807\pi\) |
−0.0675762 | − | 0.997714i | \(-0.521527\pi\) | |||||||
\(758\) | 14.8115 | − | 8.55140i | 0.537977 | − | 0.310601i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 35.1987 | − | 35.1987i | 1.27679 | − | 1.27679i | ||||
\(761\) | −14.3625 | − | 3.84841i | −0.520639 | − | 0.139505i | −0.0110771 | − | 0.999939i | \(-0.503526\pi\) |
−0.509562 | + | 0.860434i | \(0.670193\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −24.9920 | + | 8.46180i | −0.904773 | + | 0.306338i | ||||
\(764\) | −9.40231 | + | 5.42843i | −0.340164 | + | 0.196394i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 10.4249 | + | 18.0565i | 0.376669 | + | 0.652409i | ||||
\(767\) | 21.7011 | + | 16.8981i | 0.783580 | + | 0.610156i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.72722 | − | 28.8384i | 0.278651 | − | 1.03994i | −0.674705 | − | 0.738088i | \(-0.735729\pi\) |
0.953355 | − | 0.301850i | \(-0.0976043\pi\) | |||||||
\(770\) | 3.87251 | + | 11.4375i | 0.139555 | + | 0.412179i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.43016 | + | 5.33745i | 0.0514727 | + | 0.192099i | ||||
\(773\) | 26.2162 | + | 26.2162i | 0.942932 | + | 0.942932i | 0.998457 | − | 0.0555251i | \(-0.0176833\pi\) |
−0.0555251 | + | 0.998457i | \(0.517683\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.09504 | + | 11.5508i | 0.111177 | + | 0.414919i | ||||
\(776\) | −7.88418 | − | 4.55193i | −0.283026 | − | 0.163405i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.73671 | + | 21.4097i | −0.205671 | + | 0.767575i | ||||
\(779\) | −52.7449 | − | 30.4523i | −1.88978 | − | 1.09107i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.11984 | + | 14.0640i | 0.290551 | + | 0.503248i | ||||
\(782\) | −2.52535 | − | 2.52535i | −0.0903063 | − | 0.0903063i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 7.68586 | − | 18.4733i | 0.274495 | − | 0.659761i | ||||
\(785\) | 9.33567 | − | 9.33567i | 0.333204 | − | 0.333204i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 32.1979 | − | 32.1979i | 1.14773 | − | 1.14773i | 0.160734 | − | 0.986998i | \(-0.448614\pi\) |
0.986998 | − | 0.160734i | \(-0.0513861\pi\) | |||||||
\(788\) | 1.24527 | − | 4.64743i | 0.0443611 | − | 0.165558i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 8.99097 | + | 15.5728i | 0.319885 | + | 0.554056i | ||||
\(791\) | 2.82473 | + | 43.6211i | 0.100436 | + | 1.55099i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −16.9545 | − | 22.4236i | −0.602071 | − | 0.796285i | ||||
\(794\) | 7.11979 | − | 4.11061i | 0.252672 | − | 0.145880i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | − | 1.84225i | − | 0.0652967i | ||||||
\(797\) | 5.85462 | − | 10.1405i | 0.207381 | − | 0.359195i | −0.743507 | − | 0.668728i | \(-0.766839\pi\) |
0.950889 | + | 0.309533i | \(0.100173\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.68162 | + | 6.27589i | 0.0594914 | + | 0.222025i | ||||
\(800\) | −1.18659 | + | 4.42841i | −0.0419523 | + | 0.156568i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 27.3289 | 0.965017 | ||||||||
\(803\) | −12.3418 | −0.435533 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.27605 | + | 4.63429i | 0.185956 | + | 0.163337i | ||||
\(806\) | −23.8434 | + | 18.0280i | −0.839847 | + | 0.635008i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −15.6358 | + | 4.18959i | −0.550064 | + | 0.147389i | ||||
\(809\) | −19.8661 | + | 34.4091i | −0.698456 | + | 1.20976i | 0.270546 | + | 0.962707i | \(0.412796\pi\) |
−0.969002 | + | 0.247054i | \(0.920538\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 3.48546 | + | 3.48546i | 0.122391 | + | 0.122391i | 0.765649 | − | 0.643258i | \(-0.222418\pi\) |
−0.643258 | + | 0.765649i | \(0.722418\pi\) | |||||||
\(812\) | −2.89565 | + | 5.86020i | −0.101617 | + | 0.205653i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 15.5765 | − | 4.17370i | 0.545955 | − | 0.146288i | ||||
\(815\) | 6.54500i | 0.229261i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.34364 | − | 4.34364i | 0.151965 | − | 0.151965i | ||||
\(818\) | −20.5190 | −0.717432 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 11.7533 | 0.410444 | ||||||||
\(821\) | −20.1996 | + | 20.1996i | −0.704971 | + | 0.704971i | −0.965473 | − | 0.260502i | \(-0.916112\pi\) |
0.260502 | + | 0.965473i | \(0.416112\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 39.5422i | − | 1.37835i | −0.724593 | − | 0.689177i | \(-0.757972\pi\) | ||
0.724593 | − | 0.689177i | \(-0.242028\pi\) | |||||||
\(824\) | −14.2156 | + | 3.80906i | −0.495225 | + | 0.132695i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −13.8829 | − | 20.8125i | −0.483048 | − | 0.724161i | ||||
\(827\) | 30.8511 | + | 30.8511i | 1.07280 | + | 1.07280i | 0.997133 | + | 0.0756634i | \(0.0241074\pi\) |
0.0756634 | + | 0.997133i | \(0.475893\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −21.4990 | + | 37.2373i | −0.746690 | + | 1.29330i | 0.202711 | + | 0.979239i | \(0.435025\pi\) |
−0.949401 | + | 0.314066i | \(0.898309\pi\) | |||||||
\(830\) | 1.96497 | − | 0.526511i | 0.0682049 | − | 0.0182755i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −31.8264 | + | 3.96019i | −1.10338 | + | 0.137295i | ||||
\(833\) | −7.60463 | + | 18.2781i | −0.263485 | + | 0.633297i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.95493 | 0.240685 | ||||||||
\(836\) | −4.09781 | −0.141726 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 8.64564 | − | 32.2660i | 0.298659 | − | 1.11461i | ||||
\(839\) | −12.0010 | − | 44.7884i | −0.414321 | − | 1.54627i | −0.786193 | − | 0.617982i | \(-0.787951\pi\) |
0.371872 | − | 0.928284i | \(-0.378716\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.290370 | − | 0.502936i | 0.0100128 | − | 0.0173426i | ||||
\(842\) | − | 20.7753i | − | 0.715965i | ||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.98805 | + | 1.14780i | −0.0684315 | + | 0.0395089i | ||||
\(845\) | −29.5699 | + | 16.5165i | −1.01723 | + | 0.568183i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −10.5518 | + | 21.3547i | −0.362563 | + | 0.733755i | ||||
\(848\) | 7.23098 | + | 12.5244i | 0.248313 | + | 0.430091i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.62232 | + | 6.05457i | −0.0556450 | + | 0.207670i | ||||
\(851\) | 6.63124 | − | 6.63124i | 0.227316 | − | 0.227316i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.22439 | + | 3.22439i | −0.110401 | + | 0.110401i | −0.760149 | − | 0.649748i | \(-0.774874\pi\) |
0.649748 | + | 0.760149i | \(0.274874\pi\) | |||||||
\(854\) | 8.20039 | + | 24.2200i | 0.280612 | + | 0.828790i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.83790 | − | 3.83790i | −0.131177 | − | 0.131177i | ||||
\(857\) | −12.4518 | − | 21.5671i | −0.425345 | − | 0.736719i | 0.571108 | − | 0.820875i | \(-0.306514\pi\) |
−0.996453 | + | 0.0841565i | \(0.973180\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 25.4805 | + | 14.7112i | 0.869383 | + | 0.501939i | 0.867143 | − | 0.498059i | \(-0.165954\pi\) |
0.00224010 | + | 0.999997i | \(0.499287\pi\) | |||||||
\(860\) | −0.306814 | + | 1.14505i | −0.0104623 | + | 0.0390457i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −6.67673 | − | 3.85481i | −0.227410 | − | 0.131295i | ||||
\(863\) | 4.22635 | + | 15.7730i | 0.143867 | + | 0.536918i | 0.999803 | + | 0.0198370i | \(0.00631473\pi\) |
−0.855936 | + | 0.517081i | \(0.827019\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2.84068 | − | 2.84068i | −0.0965859 | − | 0.0965859i | ||||
\(866\) | −3.56636 | − | 13.3098i | −0.121190 | − | 0.452286i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −7.76750 | + | 2.62992i | −0.263646 | + | 0.0892653i | ||||
\(869\) | 2.03653 | − | 7.60044i | 0.0690846 | − | 0.257827i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 43.6597 | − | 17.7221i | 1.47935 | − | 0.600490i | ||||
\(872\) | −15.2267 | − | 26.3734i | −0.515641 | − | 0.893117i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 6.84262 | − | 3.95059i | 0.231455 | − | 0.133631i | ||||
\(875\) | −4.33651 | + | 21.7121i | −0.146601 | + | 0.734004i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 32.8267 | + | 8.79590i | 1.10848 | + | 0.297016i | 0.766213 | − | 0.642587i | \(-0.222139\pi\) |
0.342267 | + | 0.939603i | \(0.388805\pi\) | |||||||
\(878\) | 18.6394 | − | 18.6394i | 0.629050 | − | 0.629050i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −9.11420 | + | 5.26209i | −0.307240 | + | 0.177385i | ||||
\(881\) | −3.17840 | − | 5.50515i | −0.107083 | − | 0.185473i | 0.807504 | − | 0.589862i | \(-0.200818\pi\) |
−0.914587 | + | 0.404388i | \(0.867484\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 19.8386i | 0.667623i | 0.942640 | + | 0.333811i | \(0.108335\pi\) | ||||
−0.942640 | + | 0.333811i | \(0.891665\pi\) | |||||||
\(884\) | 4.68953 | − | 0.583523i | 0.157726 | − | 0.0196260i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.10790 | − | 7.86677i | −0.0708161 | − | 0.264289i | ||||
\(887\) | − | 1.06844i | − | 0.0358749i | −0.999839 | − | 0.0179374i | \(-0.994290\pi\) | ||
0.999839 | − | 0.0179374i | \(-0.00570997\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −7.25212 | + | 14.6768i | −0.243228 | + | 0.492245i | ||||
\(890\) | 0.127980 | + | 0.477627i | 0.00428989 | + | 0.0160101i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 7.91659 | + | 2.12124i | 0.265067 | + | 0.0710245i | ||||
\(893\) | −14.3743 | −0.481018 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −44.4820 | − | 11.9189i | −1.48687 | − | 0.398406i | ||||
\(896\) | 15.3023 | + | 3.05630i | 0.511215 | + | 0.102104i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 12.6772 | − | 21.9575i | 0.423043 | − | 0.732732i | ||||
\(899\) | −34.4393 | + | 9.22799i | −1.14862 | + | 0.307771i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −7.15456 | − | 12.3921i | −0.238353 | − | 0.412839i | ||||
\(902\) | 12.0575 | + | 12.0575i | 0.401472 | + | 0.401472i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −48.7323 | + | 13.0578i | −1.62081 | + | 0.434296i | ||||
\(905\) | 2.27891 | − | 0.610631i | 0.0757534 | − | 0.0202981i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 2.07736 | + | 1.19936i | 0.0689775 | + | 0.0398242i | 0.534092 | − | 0.845426i | \(-0.320654\pi\) |
−0.465115 | + | 0.885250i | \(0.653987\pi\) | |||||||
\(908\) | −4.96958 | + | 4.96958i | −0.164921 | + | 0.164921i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 30.2627 | − | 5.77181i | 1.00320 | − | 0.191334i | ||||
\(911\) | 6.07001 | 0.201108 | 0.100554 | − | 0.994932i | \(-0.467938\pi\) | ||||
0.100554 | + | 0.994932i | \(0.467938\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.770903 | − | 0.445081i | −0.0255132 | − | 0.0147300i | ||||
\(914\) | − | 0.887440i | − | 0.0293539i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −6.70832 | + | 1.79749i | −0.221649 | + | 0.0593907i | ||||
\(917\) | 6.55575 | − | 0.424524i | 0.216490 | − | 0.0140190i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0.559898 | + | 0.969772i | 0.0184693 | + | 0.0319898i | 0.875112 | − | 0.483920i | \(-0.160787\pi\) |
−0.856643 | + | 0.515910i | \(0.827454\pi\) | |||||||
\(920\) | −4.05247 | + | 7.01909i | −0.133606 | + | 0.231412i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −12.0562 | + | 20.8820i | −0.397050 | + | 0.687712i | ||||
\(923\) | 38.3907 | − | 15.5833i | 1.26365 | − | 0.512931i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −15.8985 | − | 4.25999i | −0.522740 | − | 0.140068i | ||||
\(926\) | 41.8301 | 1.37462 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −13.2035 | − | 3.53787i | −0.433426 | − | 0.116136i | ||||
\(929\) | 8.03463 | − | 29.9857i | 0.263608 | − | 0.983798i | −0.699489 | − | 0.714643i | \(-0.746589\pi\) |
0.963097 | − | 0.269155i | \(-0.0867442\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −34.7053 | − | 26.7169i | −1.13742 | − | 0.875611i | ||||
\(932\) | 1.43962 | − | 2.49349i | 0.0471562 | − | 0.0816770i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1.90207 | − | 7.09862i | −0.0622376 | − | 0.232274i | ||||
\(935\) | 9.01787 | − | 5.20647i | 0.294916 | − | 0.170270i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 7.31506i | 0.238973i | 0.992836 | + | 0.119486i | \(0.0381248\pi\) | ||||
−0.992836 | + | 0.119486i | \(0.961875\pi\) | |||||||
\(938\) | −42.7704 | + | 2.76964i | −1.39650 | + | 0.0904319i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2.40230 | − | 1.38697i | 0.0783545 | − | 0.0452380i | ||||
\(941\) | −0.629247 | + | 2.34838i | −0.0205129 | + | 0.0765550i | −0.975424 | − | 0.220338i | \(-0.929284\pi\) |
0.954911 | + | 0.296893i | \(0.0959506\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 9.57860 | + | 2.56658i | 0.311922 | + | 0.0835793i | ||||
\(944\) | 15.4179 | − | 15.4179i | 0.501812 | − | 0.501812i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.48944 | + | 0.859928i | −0.0484258 | + | 0.0279587i | ||||
\(947\) | −16.4252 | − | 16.4252i | −0.533748 | − | 0.533748i | 0.387938 | − | 0.921685i | \(-0.373187\pi\) |
−0.921685 | + | 0.387938i | \(0.873187\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −4.33173 | + | 31.1888i | −0.140614 | + | 1.01243i | ||||
\(950\) | −12.0095 | − | 6.93369i | −0.389640 | − | 0.224959i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −22.4064 | − | 4.47517i | −0.726194 | − | 0.145041i | ||||
\(953\) | 33.8286 | + | 19.5310i | 1.09582 | + | 0.632670i | 0.935119 | − | 0.354334i | \(-0.115292\pi\) |
0.160697 | + | 0.987004i | \(0.448626\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 43.1584 | + | 43.1584i | 1.39657 | + | 1.39657i | ||||
\(956\) | 6.57252 | + | 6.57252i | 0.212571 | + | 0.212571i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −23.9844 | − | 13.8474i | −0.774900 | − | 0.447388i | ||||
\(959\) | −34.1542 | − | 6.82154i | −1.10290 | − | 0.220279i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −11.8914 | − | 6.86551i | −0.383594 | − | 0.221468i | ||||
\(962\) | −5.08026 | − | 40.8279i | −0.163794 | − | 1.31635i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.376448 | + | 0.376448i | 0.0121246 | + | 0.0121246i | ||||
\(965\) | 26.9027 | − | 15.5323i | 0.866030 | − | 0.500003i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −37.5795 | + | 37.5795i | −1.20848 | + | 1.20848i | −0.236956 | + | 0.971520i | \(0.576150\pi\) |
−0.971520 | + | 0.236956i | \(0.923850\pi\) | |||||||
\(968\) | −26.5547 | − | 7.11531i | −0.853500 | − | 0.228695i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.49202 | + | 9.30033i | −0.0800138 | + | 0.298616i | ||||
\(971\) | 25.4016 | − | 14.6656i | 0.815177 | − | 0.470642i | −0.0335738 | − | 0.999436i | \(-0.510689\pi\) |
0.848750 | + | 0.528794i | \(0.177356\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 46.7220 | − | 3.02553i | 1.49784 | − | 0.0969940i | ||||
\(974\) | 6.66054i | 0.213417i | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −19.3002 | + | 11.1430i | −0.617783 | + | 0.356677i | ||||
\(977\) | 14.2072 | + | 53.0221i | 0.454530 | + | 1.69633i | 0.689467 | + | 0.724318i | \(0.257845\pi\) |
−0.234937 | + | 0.972011i | \(0.575488\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.108187 | − | 0.187385i | 0.00345766 | − | 0.00598884i | ||||
\(980\) | 8.37802 | + | 1.11636i | 0.267626 | + | 0.0356607i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.16357 | + | 11.8066i | −0.100953 | + | 0.376763i | ||||
\(983\) | −41.7323 | − | 11.1821i | −1.33105 | − | 0.356654i | −0.477945 | − | 0.878390i | \(-0.658618\pi\) |
−0.853107 | + | 0.521735i | \(0.825285\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −27.0486 | −0.861841 | ||||||||
\(986\) | −18.0519 | − | 4.83701i | −0.574891 | − | 0.154042i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.43825 | + | 10.3555i | −0.0457569 | + | 0.329453i | ||||
\(989\) | −0.500088 | + | 0.866178i | −0.0159019 | + | 0.0275429i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −15.3304 | + | 26.5530i | −0.486986 | + | 0.843484i | −0.999888 | − | 0.0149629i | \(-0.995237\pi\) |
0.512902 | + | 0.858447i | \(0.328570\pi\) | |||||||
\(992\) | −8.57459 | − | 14.8516i | −0.272243 | − | 0.471539i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −37.6087 | + | 2.43539i | −1.19288 | + | 0.0772459i | ||||
\(995\) | −10.0039 | + | 2.68053i | −0.317144 | + | 0.0849785i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − | 32.7982i | − | 1.03873i | −0.854552 | − | 0.519365i | \(-0.826168\pi\) | ||
0.854552 | − | 0.519365i | \(-0.173832\pi\) | |||||||
\(998\) | −0.299821 | − | 0.173102i | −0.00949068 | − | 0.00547944i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 819.2.et.b.145.5 | 28 | ||
3.2 | odd | 2 | 91.2.ba.a.54.3 | yes | 28 | ||
7.3 | odd | 6 | 819.2.gh.b.262.5 | 28 | |||
13.7 | odd | 12 | 819.2.gh.b.397.5 | 28 | |||
21.2 | odd | 6 | 637.2.bd.b.587.5 | 28 | |||
21.5 | even | 6 | 637.2.bd.a.587.5 | 28 | |||
21.11 | odd | 6 | 637.2.x.a.80.3 | 28 | |||
21.17 | even | 6 | 91.2.w.a.80.3 | yes | 28 | ||
21.20 | even | 2 | 637.2.bb.a.509.3 | 28 | |||
39.20 | even | 12 | 91.2.w.a.33.3 | ✓ | 28 | ||
91.59 | even | 12 | inner | 819.2.et.b.514.5 | 28 | ||
273.20 | odd | 12 | 637.2.x.a.215.3 | 28 | |||
273.59 | odd | 12 | 91.2.ba.a.59.3 | yes | 28 | ||
273.137 | even | 12 | 637.2.bb.a.423.3 | 28 | |||
273.215 | odd | 12 | 637.2.bd.b.293.5 | 28 | |||
273.254 | even | 12 | 637.2.bd.a.293.5 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.w.a.33.3 | ✓ | 28 | 39.20 | even | 12 | ||
91.2.w.a.80.3 | yes | 28 | 21.17 | even | 6 | ||
91.2.ba.a.54.3 | yes | 28 | 3.2 | odd | 2 | ||
91.2.ba.a.59.3 | yes | 28 | 273.59 | odd | 12 | ||
637.2.x.a.80.3 | 28 | 21.11 | odd | 6 | |||
637.2.x.a.215.3 | 28 | 273.20 | odd | 12 | |||
637.2.bb.a.423.3 | 28 | 273.137 | even | 12 | |||
637.2.bb.a.509.3 | 28 | 21.20 | even | 2 | |||
637.2.bd.a.293.5 | 28 | 273.254 | even | 12 | |||
637.2.bd.a.587.5 | 28 | 21.5 | even | 6 | |||
637.2.bd.b.293.5 | 28 | 273.215 | odd | 12 | |||
637.2.bd.b.587.5 | 28 | 21.2 | odd | 6 | |||
819.2.et.b.145.5 | 28 | 1.1 | even | 1 | trivial | ||
819.2.et.b.514.5 | 28 | 91.59 | even | 12 | inner | ||
819.2.gh.b.262.5 | 28 | 7.3 | odd | 6 | |||
819.2.gh.b.397.5 | 28 | 13.7 | odd | 12 |