Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(61,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.u (of order \(9\), degree \(6\), 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: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 21 x^{16} - 30 x^{15} + 192 x^{14} - 207 x^{13} + 1178 x^{12} - 705 x^{11} + \cdots + 5329 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 161.3 | ||
Root | \(-1.14386 + 1.98122i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 380.161 |
Dual form | 380.2.u.b.321.3 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(1\) | \(1\) |
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 | ||||||||
\(3\) | 1.75249 | − | 1.47051i | 1.01180 | − | 0.849002i | 0.0232260 | − | 0.999730i | \(-0.492606\pi\) |
0.988575 | + | 0.150728i | \(0.0481618\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.939693 | − | 0.342020i | −0.420243 | − | 0.152956i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.54340 | − | 2.67324i | 0.583350 | − | 1.01039i | −0.411729 | − | 0.911306i | \(-0.635075\pi\) |
0.995079 | − | 0.0990853i | \(-0.0315917\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.387867 | − | 2.19970i | 0.129289 | − | 0.733235i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.285125 | − | 0.493851i | −0.0859683 | − | 0.148902i | 0.819835 | − | 0.572600i | \(-0.194065\pi\) |
−0.905803 | + | 0.423698i | \(0.860732\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.79996 | − | 1.51035i | −0.499220 | − | 0.418895i | 0.358097 | − | 0.933684i | \(-0.383426\pi\) |
−0.857317 | + | 0.514789i | \(0.827870\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.14975 | + | 0.782445i | −0.555063 | + | 0.202026i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.907938 | + | 5.14917i | 0.220207 | + | 1.24886i | 0.871638 | + | 0.490150i | \(0.163058\pi\) |
−0.651431 | + | 0.758708i | \(0.725831\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.34334 | − | 3.67543i | −0.537599 | − | 0.843201i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.22625 | − | 6.95443i | −0.267590 | − | 1.51758i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 8.47060 | − | 3.08305i | 1.76624 | − | 0.642860i | 0.766243 | − | 0.642551i | \(-0.222124\pi\) |
1.00000 | 0.000308691i | \(-9.82594e-5\pi\) | ||||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.766044 | + | 0.642788i | 0.153209 | + | 0.128558i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.876608 | + | 1.51833i | 0.168703 | + | 0.292203i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.559736 | + | 3.17442i | −0.103940 | + | 0.589475i | 0.887698 | + | 0.460426i | \(0.152303\pi\) |
−0.991638 | + | 0.129049i | \(0.958808\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.68171 | + | 2.91280i | −0.302044 | + | 0.523155i | −0.976599 | − | 0.215069i | \(-0.931002\pi\) |
0.674555 | + | 0.738225i | \(0.264336\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.22589 | − | 0.446189i | −0.213401 | − | 0.0776715i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.36462 | + | 1.98416i | −0.399694 | + | 0.335383i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.95901 | −1.47285 | −0.736426 | − | 0.676518i | \(-0.763488\pi\) | ||||
−0.736426 | + | 0.676518i | \(0.763488\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.37541 | −0.860755 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.75201 | − | 3.14831i | 0.585966 | − | 0.491684i | −0.300934 | − | 0.953645i | \(-0.597298\pi\) |
0.886900 | + | 0.461961i | \(0.152854\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.26039 | + | 0.822715i | 0.344706 | + | 0.125463i | 0.508571 | − | 0.861020i | \(-0.330174\pi\) |
−0.163865 | + | 0.986483i | \(0.552396\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.11682 | + | 1.93439i | −0.166486 | + | 0.288361i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.782003 | + | 4.43496i | −0.114067 | + | 0.646905i | 0.873141 | + | 0.487468i | \(0.162079\pi\) |
−0.987208 | + | 0.159438i | \(0.949032\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.26416 | − | 2.18959i | −0.180594 | − | 0.312798i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 9.16309 | + | 7.68875i | 1.28309 | + | 1.07664i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 12.4799 | − | 4.54230i | 1.71424 | − | 0.623933i | 0.716925 | − | 0.697150i | \(-0.245549\pi\) |
0.997316 | + | 0.0732175i | \(0.0233267\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.0990228 | + | 0.561586i | 0.0133522 | + | 0.0757243i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −9.51145 | − | 2.99524i | −1.25982 | − | 0.396729i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.866435 | + | 4.91379i | 0.112800 | + | 0.639722i | 0.987816 | + | 0.155627i | \(0.0497398\pi\) |
−0.875016 | + | 0.484095i | \(0.839149\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.59516 | − | 0.580591i | 0.204239 | − | 0.0743371i | −0.237875 | − | 0.971296i | \(-0.576451\pi\) |
0.442114 | + | 0.896959i | \(0.354229\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.28172 | − | 4.43189i | −0.665434 | − | 0.558365i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.17484 | + | 2.03489i | 0.145721 | + | 0.252397i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.49900 | + | 14.1725i | −0.305302 | + | 1.73145i | 0.316780 | + | 0.948499i | \(0.397398\pi\) |
−0.622082 | + | 0.782952i | \(0.713713\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 10.3110 | − | 17.8592i | 1.24130 | − | 2.14999i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.26795 | − | 0.825465i | −0.269156 | − | 0.0979647i | 0.203917 | − | 0.978988i | \(-0.434633\pi\) |
−0.473072 | + | 0.881024i | \(0.656855\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.11131 | + | 5.12800i | −0.715275 | + | 0.600187i | −0.926074 | − | 0.377343i | \(-0.876838\pi\) |
0.210799 | + | 0.977529i | \(0.432393\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 2.28771 | 0.264163 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.76024 | −0.200598 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.59819 | − | 4.69744i | 0.629846 | − | 0.528503i | −0.271035 | − | 0.962569i | \(-0.587366\pi\) |
0.900881 | + | 0.434066i | \(0.142922\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 10.0658 | + | 3.66364i | 1.11842 | + | 0.407071i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −4.06853 | + | 7.04691i | −0.446580 | + | 0.773499i | −0.998161 | − | 0.0606227i | \(-0.980691\pi\) |
0.551581 | + | 0.834121i | \(0.314025\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.907938 | − | 5.14917i | 0.0984797 | − | 0.558506i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.68710 | + | 6.38624i | 0.395298 | + | 0.684677i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.72950 | + | 3.12942i | 0.395326 | + | 0.331718i | 0.818684 | − | 0.574245i | \(-0.194704\pi\) |
−0.423358 | + | 0.905963i | \(0.639149\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.81559 | + | 2.48067i | −0.714468 | + | 0.260045i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.33614 | + | 7.57764i | 0.138552 | + | 0.785765i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.944948 | + | 4.25524i | 0.0969496 | + | 0.436578i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.72255 | + | 9.76905i | 0.174898 | + | 0.991897i | 0.938261 | + | 0.345927i | \(0.112436\pi\) |
−0.763363 | + | 0.645970i | \(0.776453\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.19692 | + | 0.435642i | −0.120295 | + | 0.0437836i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −12.4977 | − | 10.4868i | −1.24357 | − | 1.04348i | −0.997237 | − | 0.0742916i | \(-0.976330\pi\) |
−0.246331 | − | 0.969186i | \(-0.579225\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.967982 | − | 1.67659i | −0.0953781 | − | 0.165200i | 0.814388 | − | 0.580320i | \(-0.197073\pi\) |
−0.909766 | + | 0.415121i | \(0.863739\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.22625 | + | 6.95443i | −0.119670 | + | 0.678683i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.08835 | + | 7.08123i | −0.395236 | + | 0.684569i | −0.993131 | − | 0.117005i | \(-0.962670\pi\) |
0.597895 | + | 0.801574i | \(0.296004\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.86767 | − | 2.13566i | −0.562021 | − | 0.204559i | 0.0453585 | − | 0.998971i | \(-0.485557\pi\) |
−0.607379 | + | 0.794412i | \(0.707779\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −15.7006 | + | 13.1744i | −1.49023 | + | 1.25045i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −11.0563 | −1.04009 | −0.520043 | − | 0.854140i | \(-0.674084\pi\) | ||||
−0.520043 | + | 0.854140i | \(0.674084\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.01423 | −0.840581 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −4.02047 | + | 3.37357i | −0.371692 | + | 0.311887i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 15.1663 | + | 5.52009i | 1.39029 | + | 0.506026i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.33741 | − | 9.24466i | 0.485219 | − | 0.840424i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.94573 | − | 11.0348i | 0.175441 | − | 0.994973i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.38569 | − | 1.16273i | −0.122960 | − | 0.103176i | 0.579234 | − | 0.815161i | \(-0.303352\pi\) |
−0.702194 | + | 0.711986i | \(0.747796\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 5.17113 | − | 1.88214i | 0.455293 | − | 0.165713i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.78473 | + | 10.1217i | 0.155933 | + | 0.884340i | 0.957928 | + | 0.287009i | \(0.0926610\pi\) |
−0.801995 | + | 0.597331i | \(0.796228\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −13.4420 | + | 0.591670i | −1.16557 | + | 0.0513043i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.304443 | − | 1.72658i | −0.0262023 | − | 0.148600i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.34202 | − | 0.488457i | 0.114657 | − | 0.0417317i | −0.284055 | − | 0.958808i | \(-0.591680\pi\) |
0.398711 | + | 0.917076i | \(0.369457\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.5734 | + | 12.2285i | 1.23610 | + | 1.03721i | 0.997819 | + | 0.0660114i | \(0.0210274\pi\) |
0.238278 | + | 0.971197i | \(0.423417\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.15122 | + | 8.92217i | 0.433811 | + | 0.751383i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.232672 | + | 1.31955i | −0.0194570 | + | 0.110346i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.61169 | − | 2.79154i | 0.133844 | − | 0.231825i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −5.43525 | − | 1.97827i | −0.448292 | − | 0.163165i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1.41523 | − | 1.18752i | 0.115940 | − | 0.0972852i | −0.582974 | − | 0.812490i | \(-0.698111\pi\) |
0.698914 | + | 0.715205i | \(0.253667\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.2163 | −0.912774 | −0.456387 | − | 0.889781i | \(-0.650857\pi\) | ||||
−0.456387 | + | 0.889781i | \(0.650857\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 11.6788 | 0.944177 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.57653 | − | 2.16196i | 0.206952 | − | 0.173653i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.66378 | − | 3.15336i | −0.691445 | − | 0.251665i | −0.0276912 | − | 0.999617i | \(-0.508815\pi\) |
−0.663754 | + | 0.747951i | \(0.731038\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 15.1913 | − | 26.3122i | 1.20475 | − | 2.08669i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 4.83178 | − | 27.4024i | 0.380797 | − | 2.15961i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.41466 | − | 12.8426i | −0.580761 | − | 1.00591i | −0.995389 | − | 0.0959170i | \(-0.969422\pi\) |
0.414628 | − | 0.909991i | \(-0.363912\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.999357 | + | 0.838560i | 0.0777999 | + | 0.0652818i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 14.1961 | − | 5.16695i | 1.09852 | − | 0.399830i | 0.271753 | − | 0.962367i | \(-0.412397\pi\) |
0.826772 | + | 0.562537i | \(0.190175\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.29871 | − | 7.36535i | −0.0999008 | − | 0.566566i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −8.99376 | + | 3.72908i | −0.687770 | + | 0.285170i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.191331 | − | 1.08509i | −0.0145466 | − | 0.0824981i | 0.976670 | − | 0.214745i | \(-0.0688920\pi\) |
−0.991217 | + | 0.132247i | \(0.957781\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.90064 | − | 1.05575i | 0.219268 | − | 0.0798070i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 8.74423 | + | 7.33728i | 0.657256 | + | 0.551503i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.77224 | − | 9.99781i | −0.431437 | − | 0.747271i | 0.565560 | − | 0.824707i | \(-0.308660\pi\) |
−0.996997 | + | 0.0774357i | \(0.975327\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.82662 | − | 10.3593i | 0.135772 | − | 0.769999i | −0.838548 | − | 0.544828i | \(-0.816595\pi\) |
0.974319 | − | 0.225171i | \(-0.0722940\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.94174 | − | 3.36319i | 0.143537 | − | 0.248614i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 8.41871 | + | 3.06416i | 0.618956 | + | 0.225282i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.28405 | − | 1.91654i | 0.167026 | − | 0.140151i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 5.41182 | 0.393652 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.44309 | −0.321491 | −0.160746 | − | 0.986996i | \(-0.551390\pi\) | ||||
−0.160746 | + | 0.986996i | \(0.551390\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.40457 | + | 2.85678i | −0.245067 | + | 0.205635i | −0.757044 | − | 0.653363i | \(-0.773357\pi\) |
0.511978 | + | 0.858999i | \(0.328913\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 5.05123 | + | 1.83850i | 0.361726 | + | 0.131658i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 6.56722 | − | 11.3748i | 0.467895 | − | 0.810419i | −0.531432 | − | 0.847101i | \(-0.678346\pi\) |
0.999327 | + | 0.0366826i | \(0.0116791\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.13668 | − | 23.4603i | 0.293242 | − | 1.66306i | −0.381022 | − | 0.924566i | \(-0.624428\pi\) |
0.674264 | − | 0.738490i | \(-0.264461\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 16.4615 | + | 28.5121i | 1.16110 | + | 2.01109i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 7.62210 | + | 6.39570i | 0.534967 | + | 0.448890i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.60253 | + | 1.67518i | −0.321454 | + | 0.117000i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.49632 | − | 19.8286i | −0.243011 | − | 1.37819i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.14697 | + | 2.20521i | −0.0793374 | + | 0.152538i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.22833 | − | 18.3088i | −0.222247 | − | 1.26043i | −0.867878 | − | 0.496777i | \(-0.834517\pi\) |
0.645631 | − | 0.763650i | \(-0.276595\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −5.18842 | + | 1.88843i | −0.355504 | + | 0.129393i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.84269 | − | 1.54620i | −0.125670 | − | 0.105450i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.19109 | + | 8.99124i | 0.352394 | + | 0.610365i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −3.16922 | + | 17.9735i | −0.214156 | + | 1.21454i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.14279 | − | 10.6396i | 0.413209 | − | 0.715699i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.11744 | + | 2.59054i | 0.476619 | + | 0.173475i | 0.569148 | − | 0.822235i | \(-0.307273\pi\) |
−0.0925293 | + | 0.995710i | \(0.529495\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.71107 | − | 1.43576i | 0.114071 | − | 0.0957170i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −24.1858 | −1.60527 | −0.802633 | − | 0.596473i | \(-0.796568\pi\) | ||||
−0.802633 | + | 0.596473i | \(0.796568\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −18.3373 | −1.21176 | −0.605880 | − | 0.795556i | \(-0.707179\pi\) | ||||
−0.605880 | + | 0.795556i | \(0.707179\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −3.08481 | + | 2.58847i | −0.202966 | + | 0.170309i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 10.6418 | + | 3.87330i | 0.697167 | + | 0.253748i | 0.666201 | − | 0.745772i | \(-0.267919\pi\) |
0.0309662 | + | 0.999520i | \(0.490142\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.25169 | − | 3.90004i | 0.146884 | − | 0.254410i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 2.90313 | − | 16.4644i | 0.188578 | − | 1.06948i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.03088 | − | 8.71375i | −0.325421 | − | 0.563645i | 0.656177 | − | 0.754607i | \(-0.272173\pi\) |
−0.981597 | + | 0.190962i | \(0.938839\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −19.1783 | − | 16.0925i | −1.23538 | − | 1.03661i | −0.997871 | − | 0.0652262i | \(-0.979223\pi\) |
−0.237514 | − | 0.971384i | \(-0.576332\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 18.0852 | − | 6.58246i | 1.16016 | − | 0.422265i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.439038 | + | 2.48991i | 0.0280491 | + | 0.159074i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.33325 | + | 10.1549i | −0.0848328 | + | 0.646140i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.23251 | + | 18.3325i | 0.204852 | + | 1.16177i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 13.4284 | − | 4.88755i | 0.847595 | − | 0.308499i | 0.118536 | − | 0.992950i | \(-0.462180\pi\) |
0.729059 | + | 0.684451i | \(0.239958\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.93774 | − | 3.30416i | −0.247564 | − | 0.207731i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −5.98078 | − | 10.3590i | −0.374531 | − | 0.648707i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −3.05760 | + | 17.3405i | −0.190728 | + | 1.08167i | 0.727645 | + | 0.685954i | \(0.240615\pi\) |
−0.918372 | + | 0.395717i | \(0.870496\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −13.8273 | + | 23.9496i | −0.859188 | + | 1.48816i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.76568 | + | 2.46251i | 0.418785 | + | 0.152425i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.01134 | + | 0.848619i | −0.0623622 | + | 0.0523281i | −0.673436 | − | 0.739246i | \(-0.735182\pi\) |
0.611074 | + | 0.791574i | \(0.290738\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −13.2808 | −0.815833 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 11.1378 | 0.681621 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −21.4196 | + | 17.9732i | −1.30598 | + | 1.09585i | −0.316898 | + | 0.948460i | \(0.602641\pi\) |
−0.989079 | + | 0.147386i | \(0.952914\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 28.1436 | + | 10.2434i | 1.70960 | + | 0.622243i | 0.996860 | − | 0.0791858i | \(-0.0252320\pi\) |
0.712739 | + | 0.701429i | \(0.247454\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −8.29640 | + | 14.3698i | −0.502121 | + | 0.869699i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.0990228 | − | 0.561586i | 0.00597130 | − | 0.0338649i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.05979 | − | 15.6920i | −0.544350 | − | 0.942842i | −0.998648 | − | 0.0519916i | \(-0.983443\pi\) |
0.454298 | − | 0.890850i | \(-0.349890\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 5.75503 | + | 4.82904i | 0.344545 | + | 0.289107i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.37092 | + | 3.41073i | −0.559022 | + | 0.203467i | −0.606050 | − | 0.795426i | \(-0.707247\pi\) |
0.0470285 | + | 0.998894i | \(0.485025\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.42712 | − | 30.7787i | −0.322609 | − | 1.82960i | −0.525973 | − | 0.850501i | \(-0.676299\pi\) |
0.203365 | − | 0.979103i | \(-0.434812\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 7.91341 | + | 6.06771i | 0.468750 | + | 0.359420i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −2.62536 | − | 14.8892i | −0.154970 | − | 0.878879i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.71487 | + | 3.53592i | −0.571463 | + | 0.207995i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 17.3843 | + | 14.5871i | 1.01908 | + | 0.855114i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 10.2875 | + | 17.8184i | 0.601001 | + | 1.04096i | 0.992670 | + | 0.120858i | \(0.0385645\pi\) |
−0.391669 | + | 0.920106i | \(0.628102\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.866435 | − | 4.91379i | 0.0504458 | − | 0.286092i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.499885 | − | 0.865827i | 0.0290063 | − | 0.0502404i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −19.9033 | − | 7.24419i | −1.15103 | − | 0.418942i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.68800 | − | 4.77280i | 0.327851 | − | 0.275100i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −37.3231 | −2.14416 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.69753 | −0.0972006 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 21.7222 | − | 18.2271i | 1.23975 | − | 1.04027i | 0.242207 | − | 0.970225i | \(-0.422129\pi\) |
0.997544 | − | 0.0700496i | \(-0.0223158\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.16184 | − | 1.51478i | −0.236759 | − | 0.0861731i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −16.3551 | + | 28.3278i | −0.927412 | + | 1.60632i | −0.139776 | + | 0.990183i | \(0.544638\pi\) |
−0.787636 | + | 0.616141i | \(0.788695\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.16822 | + | 12.2966i | −0.122555 | + | 0.695046i | 0.860175 | + | 0.510000i | \(0.170355\pi\) |
−0.982730 | + | 0.185046i | \(0.940757\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.44739 | + | 5.97106i | 0.194239 | + | 0.336431i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 15.1328 | + | 12.6980i | 0.849944 | + | 0.713188i | 0.959777 | − | 0.280762i | \(-0.0905872\pi\) |
−0.109833 | + | 0.993950i | \(0.535032\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.72728 | − | 0.628680i | 0.0967093 | − | 0.0351993i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.24826 | + | 18.4218i | 0.181300 | + | 1.02820i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 16.7978 | − | 15.4033i | 0.934655 | − | 0.857064i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.408019 | − | 2.31399i | −0.0226328 | − | 0.128357i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −13.4236 | + | 4.88577i | −0.742324 | + | 0.270184i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 10.6488 | + | 8.93540i | 0.587087 | + | 0.492624i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.89182 | − | 15.4011i | −0.488738 | − | 0.846520i | 0.511178 | − | 0.859475i | \(-0.329209\pi\) |
−0.999916 | + | 0.0129553i | \(0.995876\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.47491 | + | 19.7072i | −0.190424 | + | 1.07995i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 7.19559 | − | 12.4631i | 0.393137 | − | 0.680933i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −23.9186 | − | 8.70567i | −1.30293 | − | 0.474228i | −0.404980 | − | 0.914325i | \(-0.632722\pi\) |
−0.897950 | + | 0.440098i | \(0.854944\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −19.3760 | + | 16.2584i | −1.05236 | + | 0.883035i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.91799 | 0.103865 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.8032 | 0.745302 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −15.7974 | + | 13.2556i | −0.850501 | + | 0.713655i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 5.83350 | + | 2.12322i | 0.313159 | + | 0.113980i | 0.493818 | − | 0.869565i | \(-0.335601\pi\) |
−0.180659 | + | 0.983546i | \(0.557823\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.9635 | + | 27.6495i | −0.854505 | + | 1.48005i | 0.0225985 | + | 0.999745i | \(0.492806\pi\) |
−0.877104 | + | 0.480301i | \(0.840527\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.715345 | − | 4.05692i | 0.0381823 | − | 0.216543i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 11.0062 | + | 19.0633i | 0.585800 | + | 1.01464i | 0.994775 | + | 0.102090i | \(0.0325528\pi\) |
−0.408975 | + | 0.912545i | \(0.634114\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.84885 | + | 1.55137i | 0.0981266 | + | 0.0823380i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 34.6962 | − | 12.6284i | 1.83632 | − | 0.668365i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 0.856397 | + | 4.85687i | 0.0451989 | + | 0.256336i | 0.999031 | − | 0.0440034i | \(-0.0140112\pi\) |
−0.953832 | + | 0.300339i | \(0.902900\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.01753 | + | 17.2255i | −0.421975 | + | 0.906607i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −4.24065 | − | 24.0499i | −0.222576 | − | 1.26229i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 7.49663 | − | 2.72855i | 0.392392 | − | 0.142819i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 24.2096 | + | 20.3143i | 1.26373 | + | 1.06040i | 0.995274 | + | 0.0971072i | \(0.0309590\pi\) |
0.268459 | + | 0.963291i | \(0.413485\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −5.47008 | − | 9.47445i | −0.284761 | − | 0.493220i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 7.11873 | − | 40.3723i | 0.369586 | − | 2.09603i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.0856 | − | 17.4688i | 0.522214 | − | 0.904500i | −0.477452 | − | 0.878658i | \(-0.658440\pi\) |
0.999666 | − | 0.0258429i | \(-0.00822696\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −2.14975 | − | 0.782445i | −0.111013 | − | 0.0404053i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 5.80198 | − | 4.86844i | 0.298817 | − | 0.250738i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.8801 | −0.610239 | −0.305119 | − | 0.952314i | \(-0.598696\pi\) | ||||
−0.305119 | + | 0.952314i | \(0.598696\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.13822 | −0.212007 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −21.0413 | + | 17.6558i | −1.07516 | + | 0.902168i | −0.995510 | − | 0.0946544i | \(-0.969825\pi\) |
−0.0796521 | + | 0.996823i | \(0.525381\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.65409 | + | 0.602039i | 0.0843002 | + | 0.0306828i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.68646 | − | 4.65309i | 0.136561 | − | 0.236530i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.0727819 | − | 0.412767i | 0.00369019 | − | 0.0209281i | −0.982907 | − | 0.184102i | \(-0.941062\pi\) |
0.986597 | + | 0.163174i | \(0.0521733\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 23.5659 | + | 40.8174i | 1.19178 | + | 2.06422i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 18.0119 | + | 15.1138i | 0.908580 | + | 0.762389i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −6.86720 | + | 2.49946i | −0.345526 | + | 0.125761i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.70976 | − | 15.3678i | −0.135999 | − | 0.771289i | −0.974159 | − | 0.225864i | \(-0.927480\pi\) |
0.838160 | − | 0.545425i | \(-0.183632\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −22.6870 | + | 20.8036i | −1.13577 | + | 1.04148i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4.10254 | − | 23.2667i | −0.204871 | − | 1.16188i | −0.897643 | − | 0.440724i | \(-0.854722\pi\) |
0.692771 | − | 0.721157i | \(-0.256389\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.42637 | − | 2.70298i | 0.369934 | − | 0.134645i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −8.20570 | − | 6.88540i | −0.407744 | − | 0.342138i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.55443 | + | 4.42441i | 0.126619 | + | 0.219310i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.785457 | + | 4.45455i | −0.0388384 | + | 0.220263i | −0.998050 | − | 0.0624273i | \(-0.980116\pi\) |
0.959211 | + | 0.282691i | \(0.0912270\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.63360 | − | 2.82948i | 0.0805796 | − | 0.139568i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 14.4730 | + | 5.26775i | 0.712171 | + | 0.259209i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.23336 | − | 5.23041i | 0.305983 | − | 0.256751i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 43.5219 | 2.13128 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 23.2692 | 1.13677 | 0.568386 | − | 0.822762i | \(-0.307568\pi\) | ||||
0.568386 | + | 0.822762i | \(0.307568\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −16.2997 | + | 13.6771i | −0.794401 | + | 0.666582i | −0.946831 | − | 0.321733i | \(-0.895735\pi\) |
0.152429 | + | 0.988314i | \(0.451290\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 9.45229 | + | 3.44035i | 0.459586 | + | 0.167276i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −2.61430 | + | 4.52811i | −0.126812 | + | 0.219645i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.909907 | − | 5.16034i | 0.0440335 | − | 0.249726i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 1.53266 | + | 2.65465i | 0.0739976 | + | 0.128168i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −29.2038 | − | 24.5049i | −1.40670 | − | 1.18036i | −0.958033 | − | 0.286657i | \(-0.907456\pi\) |
−0.448663 | − | 0.893701i | \(-0.648100\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.4460 | + | 3.80204i | −0.502003 | + | 0.182714i | −0.580595 | − | 0.814193i | \(-0.697180\pi\) |
0.0785916 | + | 0.996907i | \(0.474958\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.28052 | − | 7.26216i | −0.0613960 | − | 0.348194i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −31.1810 | − | 23.9085i | −1.49159 | − | 1.14370i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.10226 | + | 6.25125i | 0.0526082 | + | 0.298356i | 0.999748 | − | 0.0224664i | \(-0.00715189\pi\) |
−0.947139 | + | 0.320822i | \(0.896041\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −5.30677 | + | 1.93151i | −0.252703 | + | 0.0919765i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 27.6358 | + | 23.1892i | 1.31302 | + | 1.10175i | 0.987736 | + | 0.156133i | \(0.0499028\pi\) |
0.325279 | + | 0.945618i | \(0.394542\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.43426 | − | 4.21626i | −0.115395 | − | 0.199870i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.733913 | − | 4.16223i | 0.0347129 | − | 0.196867i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 3.55923 | − | 6.16477i | 0.167971 | − | 0.290933i | −0.769736 | − | 0.638363i | \(-0.779612\pi\) |
0.937706 | + | 0.347429i | \(0.112945\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.62459 | − | 0.955272i | −0.123587 | − | 0.0449820i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −19.6566 | + | 16.4938i | −0.923545 | + | 0.774947i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 7.25300 | 0.340026 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 35.9355 | 1.68099 | 0.840496 | − | 0.541817i | \(-0.182263\pi\) | ||||
0.840496 | + | 0.541817i | \(0.182263\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −7.02224 | + | 5.89236i | −0.327770 | + | 0.275032i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −25.1560 | − | 9.15604i | −1.17163 | − | 0.426439i | −0.318393 | − | 0.947959i | \(-0.603143\pi\) |
−0.853239 | + | 0.521519i | \(0.825365\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.6850 | + | 20.2390i | −0.543048 | + | 0.940587i | 0.455679 | + | 0.890144i | \(0.349397\pi\) |
−0.998727 | + | 0.0504426i | \(0.983937\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.33614 | − | 7.57764i | 0.0619621 | − | 0.351405i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −8.10209 | − | 14.0332i | −0.374920 | − | 0.649380i | 0.615395 | − | 0.788219i | \(-0.288996\pi\) |
−0.990315 | + | 0.138838i | \(0.955663\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 34.0297 | + | 28.5543i | 1.57135 | + | 1.31852i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −19.8203 | + | 7.21398i | −0.913269 | + | 0.332403i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.238195 | − | 1.35087i | −0.0109522 | − | 0.0621131i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.567417 | − | 4.32181i | 0.0260349 | − | 0.198298i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.15118 | − | 29.2138i | −0.235857 | − | 1.33761i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −8.62752 | + | 3.14016i | −0.394202 | + | 0.143478i | −0.531513 | − | 0.847050i | \(-0.678376\pi\) |
0.137311 | + | 0.990528i | \(0.456154\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 16.1259 | + | 13.5312i | 0.735277 | + | 0.616971i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −31.8279 | − | 55.1276i | −1.44822 | − | 2.50839i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.72255 | − | 9.76905i | 0.0782169 | − | 0.443590i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −18.5252 | + | 32.0866i | −0.839458 | + | 1.45398i | 0.0508914 | + | 0.998704i | \(0.483794\pi\) |
−0.890349 | + | 0.455279i | \(0.849540\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −31.8793 | − | 11.6031i | −1.44163 | − | 0.524711i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −23.3003 | + | 19.5513i | −1.05153 | + | 0.882337i | −0.993253 | − | 0.115964i | \(-0.963004\pi\) |
−0.0582746 | + | 0.998301i | \(0.518560\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −16.8538 | −0.759059 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.27373 | 0.0572500 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −5.70702 | + | 4.78876i | −0.255995 | + | 0.214805i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.9454 | − | 5.43969i | −0.669049 | − | 0.243514i | −0.0149107 | − | 0.999889i | \(-0.504746\pi\) |
−0.654138 | + | 0.756375i | \(0.726969\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 17.2804 | − | 29.9306i | 0.772032 | − | 1.33720i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.21681 | + | 6.90088i | −0.0542550 | + | 0.307695i | −0.999844 | − | 0.0176685i | \(-0.994376\pi\) |
0.945589 | + | 0.325364i | \(0.105487\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.15730 | + | 14.1289i | 0.362995 | + | 0.628726i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −13.1068 | − | 10.9979i | −0.582095 | − | 0.488436i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 13.7407 | − | 5.00121i | 0.609046 | − | 0.221675i | −0.0190398 | − | 0.999819i | \(-0.506061\pi\) |
0.628086 | + | 0.778144i | \(0.283839\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.27621 | + | 24.2516i | 0.189168 | + | 1.07283i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 3.52632 | − | 6.77987i | 0.155691 | − | 0.299339i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0.336177 | + | 1.90655i | 0.0148137 | + | 0.0840128i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.41318 | − | 0.878324i | 0.106131 | − | 0.0386286i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.93095 | − | 1.62026i | −0.0847594 | − | 0.0711216i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 8.58227 | + | 14.8649i | 0.375996 | + | 0.651244i | 0.990476 | − | 0.137688i | \(-0.0439673\pi\) |
−0.614479 | + | 0.788933i | \(0.710634\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −5.28473 | + | 29.9712i | −0.231085 | + | 1.31055i | 0.619618 | + | 0.784903i | \(0.287287\pi\) |
−0.850703 | + | 0.525646i | \(0.823824\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 3.53086 | − | 6.11562i | 0.154099 | − | 0.266908i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −16.5254 | − | 6.01476i | −0.719859 | − | 0.262007i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 44.6269 | − | 37.4464i | 1.94030 | − | 1.62811i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 11.1450 | 0.483650 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −11.5085 | −0.498490 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.26372 | − | 5.25588i | 0.270804 | − | 0.227232i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −24.8177 | − | 9.03291i | −1.07096 | − | 0.389799i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −0.720886 | + | 1.24861i | −0.0310508 | + | 0.0537815i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.72643 | − | 15.4624i | 0.117219 | − | 0.664779i | −0.868409 | − | 0.495848i | \(-0.834857\pi\) |
0.985628 | − | 0.168931i | \(-0.0540316\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −12.0323 | − | 20.8406i | −0.516357 | − | 0.894356i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 4.78337 | + | 4.01372i | 0.204897 | + | 0.171929i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 12.1733 | − | 4.43071i | 0.520491 | − | 0.189443i | −0.0683963 | − | 0.997658i | \(-0.521788\pi\) |
0.588888 | + | 0.808215i | \(0.299566\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.658418 | − | 3.73407i | −0.0281006 | − | 0.159366i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 12.9790 | − | 5.38147i | 0.552924 | − | 0.229258i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.91717 | − | 22.2154i | −0.166575 | − | 0.944693i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 19.2596 | − | 7.00993i | 0.817525 | − | 0.297555i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 32.0401 | + | 26.8849i | 1.35758 | + | 1.13915i | 0.976720 | + | 0.214516i | \(0.0688175\pi\) |
0.380863 | + | 0.924632i | \(0.375627\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.82603 | − | 4.89484i | −0.119529 | − | 0.207029i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.18447 | − | 6.71745i | 0.0500083 | − | 0.283611i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −4.72970 | + | 8.19209i | −0.199333 | + | 0.345255i | −0.948312 | − | 0.317338i | \(-0.897211\pi\) |
0.748979 | + | 0.662594i | \(0.230544\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 10.3895 | + | 3.78146i | 0.437089 | + | 0.159087i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 25.3293 | − | 21.2538i | 1.06373 | − | 0.892577i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 1.30763 | 0.0548186 | 0.0274093 | − | 0.999624i | \(-0.491274\pi\) | ||||
0.0274093 | + | 0.999624i | \(0.491274\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 11.7704 | 0.492576 | 0.246288 | − | 0.969197i | \(-0.420789\pi\) | ||||
0.246288 | + | 0.969197i | \(0.420789\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −7.78648 | + | 6.53363i | −0.325285 | + | 0.272947i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 8.47060 | + | 3.08305i | 0.353249 | + | 0.128572i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.75149 | − | 3.03367i | 0.0729155 | − | 0.126293i | −0.827262 | − | 0.561816i | \(-0.810103\pi\) |
0.900178 | + | 0.435522i | \(0.143436\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.76555 | + | 10.0130i | −0.0733739 | + | 0.416124i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 12.5587 | + | 21.7524i | 0.521024 | + | 0.902441i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.80153 | − | 4.86807i | −0.240275 | − | 0.201615i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 4.93183 | − | 1.79504i | 0.203906 | − | 0.0742158i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −1.47722 | − | 8.37771i | −0.0609713 | − | 0.345785i | −0.999998 | − | 0.00194144i | \(-0.999382\pi\) |
0.939027 | − | 0.343844i | \(-0.111729\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 14.6466 | − | 0.644691i | 0.603503 | − | 0.0265641i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −5.21776 | − | 29.5914i | −0.214630 | − | 1.21723i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −0.638258 | + | 0.232307i | −0.0262101 | + | 0.00953971i | −0.355092 | − | 0.934831i | \(-0.615550\pi\) |
0.328882 | + | 0.944371i | \(0.393328\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −12.3637 | − | 10.3744i | −0.506862 | − | 0.425308i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −27.2492 | − | 47.1970i | −1.11524 | − | 1.93164i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −0.629002 | + | 3.56724i | −0.0257003 | + | 0.145754i | −0.994958 | − | 0.100295i | \(-0.968021\pi\) |
0.969257 | + | 0.246049i | \(0.0791324\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.9137 | − | 22.3672i | 0.526761 | − | 0.912376i | −0.472753 | − | 0.881195i | \(-0.656740\pi\) |
0.999514 | − | 0.0311814i | \(-0.00992697\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 30.2061 | + | 10.9941i | 1.23009 | + | 0.447716i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −8.17738 | + | 6.86164i | −0.332458 | + | 0.278965i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.64689 | 0.107434 | 0.0537169 | − | 0.998556i | \(-0.482893\pi\) | ||||
0.0537169 | + | 0.998556i | \(0.482893\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 22.7626 | 0.922389 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 8.10591 | − | 6.80167i | 0.327930 | − | 0.275166i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −27.8737 | − | 10.1452i | −1.12581 | − | 0.409760i | −0.289038 | − | 0.957318i | \(-0.593335\pi\) |
−0.836768 | + | 0.547558i | \(0.815558\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −5.60251 | + | 9.70383i | −0.225915 | + | 0.391296i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.69384 | − | 9.60623i | 0.0681913 | − | 0.386732i | −0.931542 | − | 0.363634i | \(-0.881536\pi\) |
0.999733 | − | 0.0230981i | \(-0.00735302\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 11.1539 | + | 19.3192i | 0.448315 | + | 0.776504i | 0.998276 | − | 0.0586859i | \(-0.0186911\pi\) |
−0.549962 | + | 0.835190i | \(0.685358\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 12.1065 | + | 10.1585i | 0.485816 | + | 0.407648i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 14.1218 | − | 5.13992i | 0.565779 | − | 0.205927i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.173648 | + | 0.984808i | 0.00694593 | + | 0.0393923i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.23275 | + | 5.55125i | 0.0492313 | + | 0.221696i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −8.13423 | − | 46.1315i | −0.324333 | − | 1.83938i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 43.7131 | − | 15.9103i | 1.74019 | − | 0.633377i | 0.740920 | − | 0.671593i | \(-0.234390\pi\) |
0.999270 | + | 0.0382155i | \(0.0121673\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −32.5809 | − | 27.3386i | −1.29498 | − | 1.08661i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.904443 | + | 1.56654i | 0.0358917 | + | 0.0621663i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.03160 | + | 5.85050i | −0.0408735 | + | 0.231805i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.69544 | + | 4.66864i | −0.106630 | + | 0.184689i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −41.1061 | − | 14.9614i | −1.62359 | − | 0.590939i | −0.639531 | − | 0.768765i | \(-0.720871\pi\) |
−0.984062 | + | 0.177826i | \(0.943094\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 30.1438 | − | 25.2936i | 1.18875 | − | 0.997483i | 0.188874 | − | 0.982001i | \(-0.439516\pi\) |
0.999880 | − | 0.0154814i | \(-0.00492809\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −5.50300 | −0.216680 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −9.53143 | −0.374719 | −0.187360 | − | 0.982291i | \(-0.559993\pi\) | ||||
−0.187360 | + | 0.982291i | \(0.559993\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.17964 | − | 1.82893i | 0.0855583 | − | 0.0717919i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 22.3191 | + | 8.12348i | 0.874754 | + | 0.318384i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −20.8821 | + | 36.1689i | −0.817180 | + | 1.41540i | 0.0905712 | + | 0.995890i | \(0.471131\pi\) |
−0.907752 | + | 0.419508i | \(0.862203\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.78473 | − | 10.1217i | 0.0697354 | − | 0.395489i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 8.90970 | + | 15.4321i | 0.347601 | + | 0.602062i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −9.64513 | − | 8.09322i | −0.375721 | − | 0.315267i | 0.435299 | − | 0.900286i | \(-0.356643\pi\) |
−0.811020 | + | 0.585019i | \(0.801087\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −41.2288 | + | 15.0060i | −1.60361 | + | 0.583667i | −0.980162 | − | 0.198196i | \(-0.936492\pi\) |
−0.623450 | + | 0.781863i | \(0.714270\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −4.88054 | − | 27.6789i | −0.189545 | − | 1.07496i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 12.8337 | + | 4.04145i | 0.497671 | + | 0.156721i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.04558 | + | 28.6149i | 0.195366 | + | 1.10797i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 16.2827 | − | 5.92641i | 0.629525 | − | 0.229128i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.741545 | − | 0.622230i | −0.0286270 | − | 0.0240209i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.37316 | + | 11.0386i | 0.245667 | + | 0.425508i | 0.962319 | − | 0.271923i | \(-0.0876596\pi\) |
−0.716652 | + | 0.697431i | \(0.754326\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.304443 | + | 1.72658i | −0.0117180 | + | 0.0664561i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 17.2366 | − | 29.8547i | 0.662457 | − | 1.14741i | −0.317511 | − | 0.948255i | \(-0.602847\pi\) |
0.979968 | − | 0.199155i | \(-0.0638197\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 28.7737 | + | 10.4728i | 1.10423 | + | 0.401907i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −42.3854 | + | 35.5655i | −1.62421 | + | 1.36287i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 16.8008 | 0.642867 | 0.321433 | − | 0.946932i | \(-0.395835\pi\) | ||||
0.321433 | + | 0.946932i | \(0.395835\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.42815 | −0.0545669 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −32.1359 | + | 26.9652i | −1.22606 | + | 1.02879i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −29.3238 | − | 10.6730i | −1.11715 | − | 0.406608i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.29618 | − | 14.3694i | 0.315602 | − | 0.546638i | −0.663964 | − | 0.747765i | \(-0.731127\pi\) |
0.979565 | + | 0.201127i | \(0.0644604\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −0.682741 | + | 3.87202i | −0.0259352 | + | 0.147086i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −9.51209 | − | 16.4754i | −0.360814 | − | 0.624948i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 19.6178 | + | 16.4613i | 0.743078 | + | 0.623516i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 24.3454 | − | 8.86100i | 0.920827 | − | 0.335154i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.49187 | − | 14.1321i | −0.0941167 | − | 0.533762i | −0.995014 | − | 0.0997310i | \(-0.968202\pi\) |
0.900898 | − | 0.434031i | \(-0.142909\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 20.9940 | + | 32.9282i | 0.791803 | + | 1.24191i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.78900 | − | 10.1459i | −0.0673776 | − | 0.382118i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −47.3228 | + | 17.2241i | −1.77976 | + | 0.647778i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 20.3960 | + | 17.1143i | 0.765987 | + | 0.642740i | 0.939678 | − | 0.342061i | \(-0.111125\pi\) |
−0.173690 | + | 0.984800i | \(0.555569\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.16162 | − | 14.1363i | −0.306085 | − | 0.530154i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −5.26477 | + | 29.8580i | −0.197167 | + | 1.11819i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.669954 | − | 1.16039i | 0.0250548 | − | 0.0433963i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −21.6303 | − | 7.87277i | −0.807797 | − | 0.294014i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 19.9847 | − | 16.7692i | 0.745304 | − | 0.625385i | −0.188952 | − | 0.981986i | \(-0.560509\pi\) |
0.934256 | + | 0.356602i | \(0.116065\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.97593 | −0.222555 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −57.2741 | −2.13005 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.46926 | + | 2.07195i | −0.0917060 | + | 0.0769505i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.47243 | + | 3.08371i | 0.314225 | + | 0.114369i | 0.494318 | − | 0.869281i | \(-0.335418\pi\) |
−0.180093 | + | 0.983650i | \(0.557640\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 5.94683 | − | 10.3002i | 0.220253 | − | 0.381489i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −2.18401 | + | 12.3861i | −0.0807784 | + | 0.458117i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −17.8405 | − | 30.9006i | −0.658953 | − | 1.14134i | −0.980887 | − | 0.194578i | \(-0.937666\pi\) |
0.321934 | − | 0.946762i | \(-0.395667\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 4.43085 | + | 3.71793i | 0.163434 | + | 0.137138i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 7.71164 | − | 2.80681i | 0.284062 | − | 0.103390i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.85870 | − | 16.2125i | −0.105159 | − | 0.596386i | −0.991157 | − | 0.132697i | \(-0.957636\pi\) |
0.885998 | − | 0.463689i | \(-0.153475\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 12.5964 | + | 19.7569i | 0.462741 | + | 0.725789i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.47679 | + | 31.0604i | 0.200924 | + | 1.13950i | 0.903726 | + | 0.428111i | \(0.140821\pi\) |
−0.702802 | + | 0.711385i | \(0.748068\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.73603 | + | 0.631865i | −0.0636034 | + | 0.0231497i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 13.9231 | + | 11.6828i | 0.509418 | + | 0.427453i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 12.6199 | + | 21.8583i | 0.461122 | + | 0.798686i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.55178 | − | 8.80057i | 0.0566252 | − | 0.321138i | −0.943317 | − | 0.331893i | \(-0.892313\pi\) |
0.999942 | + | 0.0107557i | \(0.00342373\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 16.3460 | − | 28.3121i | 0.595681 | − | 1.03175i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 10.5399 | + | 3.83622i | 0.383587 | + | 0.139614i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.34941 | − | 4.48869i | 0.194428 | − | 0.163144i | −0.540377 | − | 0.841423i | \(-0.681718\pi\) |
0.734805 | + | 0.678279i | \(0.237274\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −11.7597 | −0.426849 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −19.1207 | −0.693124 | −0.346562 | − | 0.938027i | \(-0.612651\pi\) | ||||
−0.346562 | + | 0.938027i | \(0.612651\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −14.7653 | + | 12.3895i | −0.534539 | + | 0.448532i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −10.9745 | − | 3.99439i | −0.396784 | − | 0.144418i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 5.86199 | − | 10.1533i | 0.211664 | − | 0.366613i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.92416 | + | 10.9125i | −0.0693870 | + | 0.393513i | 0.930259 | + | 0.366904i | \(0.119582\pi\) |
−0.999646 | + | 0.0266095i | \(0.991529\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 20.1411 | + | 34.8853i | 0.725362 | + | 1.25636i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 14.1680 | + | 11.8884i | 0.509588 | + | 0.427595i | 0.860984 | − | 0.508632i | \(-0.169849\pi\) |
−0.351396 | + | 0.936227i | \(0.614293\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.16058 | + | 1.15036i | −0.113531 | + | 0.0413220i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 10.9860 | + | 62.3048i | 0.394121 | + | 2.23517i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −20.3636 | − | 6.41269i | −0.729603 | − | 0.229758i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.238991 | + | 1.35539i | 0.00855178 | + | 0.0484996i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −5.31048 | + | 1.93286i | −0.189781 | + | 0.0690747i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 7.06278 | + | 5.92637i | 0.252081 | + | 0.211521i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 15.4354 | + | 26.7349i | 0.550214 | + | 0.952998i | 0.998259 | + | 0.0589870i | \(0.0187871\pi\) |
−0.448045 | + | 0.894011i | \(0.647880\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.524466 | + | 2.97439i | −0.0186715 | + | 0.105891i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −17.0642 | + | 29.5561i | −0.606734 | + | 1.05089i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.74813 | − | 1.36421i | −0.133100 | − | 0.0484444i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −23.2745 | + | 19.5296i | −0.825460 | + | 0.692644i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −21.1177 | −0.748026 | −0.374013 | − | 0.927424i | \(-0.622018\pi\) | ||||
−0.374013 | + | 0.927424i | \(0.622018\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −23.5464 | −0.833011 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 8.33035 | − | 6.99000i | 0.294339 | − | 0.246979i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 4.27495 | + | 1.55595i | 0.150860 | + | 0.0549085i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −13.9125 | + | 24.0972i | −0.490353 | + | 0.849316i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −11.1078 | + | 62.9957i | −0.391015 | + | 2.21755i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −8.30657 | − | 14.3874i | −0.292043 | − | 0.505834i | 0.682249 | − | 0.731120i | \(-0.261002\pi\) |
−0.974293 | + | 0.225286i | \(0.927669\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 13.5057 | + | 11.3326i | 0.474249 | + | 0.397942i | 0.848342 | − | 0.529449i | \(-0.177601\pi\) |
−0.374092 | + | 0.927391i | \(0.622046\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 64.3844 | − | 23.4340i | 2.25806 | − | 0.821867i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 2.57509 | + | 14.6040i | 0.0902013 | + | 0.511557i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.27303 | − | 10.2358i | −0.0795234 | − | 0.358105i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 2.81320 | + | 15.9545i | 0.0983013 | + | 0.557494i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −16.4308 | + | 5.98034i | −0.573440 | + | 0.208715i | −0.612431 | − | 0.790524i | \(-0.709808\pi\) |
0.0389903 | + | 0.999240i | \(0.487586\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 23.4703 | + | 19.6939i | 0.818124 | + | 0.686488i | 0.952532 | − | 0.304438i | \(-0.0984688\pi\) |
−0.134408 | + | 0.990926i | \(0.542913\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.652284 | − | 1.12979i | −0.0227096 | − | 0.0393342i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 3.97960 | − | 22.5694i | 0.138384 | − | 0.784816i | −0.834059 | − | 0.551676i | \(-0.813989\pi\) |
0.972443 | − | 0.233141i | \(-0.0749003\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −21.4104 | + | 37.0839i | −0.743614 | + | 1.28798i | 0.207226 | + | 0.978293i | \(0.433556\pi\) |
−0.950840 | + | 0.309683i | \(0.899777\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −38.9525 | − | 14.1776i | −1.35125 | − | 0.491814i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 10.1268 | − | 8.49738i | 0.350872 | − | 0.294417i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −15.1071 | −0.522804 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −5.89680 | −0.203823 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 3.01004 | − | 2.52572i | 0.103918 | − | 0.0871977i | −0.589348 | − | 0.807879i | \(-0.700615\pi\) |
0.693266 | + | 0.720681i | \(0.256171\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.4875 | + | 6.36491i | 0.603016 | + | 0.219480i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −11.4069 | + | 19.7574i | −0.392875 | + | 0.680479i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1.29871 | + | 7.36535i | −0.0446770 | + | 0.253376i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −16.4755 | − | 28.5364i | −0.566105 | − | 0.980522i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −54.7715 | − | 45.9588i | −1.87975 | − | 1.57730i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −75.8882 | + | 27.6210i | −2.60141 | + | 0.946837i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 0.450339 | + | 2.55400i | 0.0154193 | + | 0.0874473i | 0.991546 | − | 0.129753i | \(-0.0414185\pi\) |
−0.976127 | + | 0.217201i | \(0.930307\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 9.72679 | − | 0.428138i | 0.332649 | − | 0.0146420i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 4.07304 | + | 23.0994i | 0.139133 | + | 0.789060i | 0.971892 | + | 0.235425i | \(0.0756483\pi\) |
−0.832760 | + | 0.553634i | \(0.813241\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.92408 | + | 0.700308i | −0.0656488 | + | 0.0238942i | −0.374636 | − | 0.927172i | \(-0.622232\pi\) |
0.308987 | + | 0.951066i | \(0.400010\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −26.4956 | − | 22.2325i | −0.902969 | − | 0.757681i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −6.82259 | − | 11.8171i | −0.232244 | − | 0.402258i | 0.726224 | − | 0.687458i | \(-0.241273\pi\) |
−0.958468 | + | 0.285200i | \(0.907940\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.191331 | + | 1.08509i | −0.00650546 | + | 0.0368943i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −11.8256 | + | 20.4825i | −0.401618 | + | 0.695623i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −3.91602 | − | 1.42531i | −0.132842 | − | 0.0483504i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 25.9036 | − | 21.7357i | 0.877710 | − | 0.736486i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 22.1572 | 0.749906 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −3.08680 | −0.104353 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.63051 | + | 3.88546i | −0.156361 | + | 0.131203i | −0.717612 | − | 0.696443i | \(-0.754765\pi\) |
0.561251 | + | 0.827646i | \(0.310320\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 44.2310 | + | 16.0988i | 1.49187 | + | 0.542998i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 26.6195 | − | 46.1063i | 0.896833 | − | 1.55336i | 0.0653124 | − | 0.997865i | \(-0.479196\pi\) |
0.831520 | − | 0.555495i | \(-0.187471\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 7.65782 | − | 43.4296i | 0.257706 | − | 1.46152i | −0.531324 | − | 0.847169i | \(-0.678305\pi\) |
0.789030 | − | 0.614355i | \(-0.210584\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −5.70739 | − | 9.88549i | −0.191852 | − | 0.332297i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −15.6614 | − | 13.1415i | −0.525858 | − | 0.441248i | 0.340810 | − | 0.940132i | \(-0.389299\pi\) |
−0.866668 | + | 0.498885i | \(0.833743\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −5.24693 | + | 1.90973i | −0.175976 | + | 0.0640501i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.06071 | − | 6.01558i | −0.0355351 | − | 0.201530i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 18.1329 | − | 7.51842i | 0.606793 | − | 0.251594i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.00468 | + | 11.3691i | 0.0670090 | + | 0.380027i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −45.5330 | + | 16.5726i | −1.52030 | + | 0.553345i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −8.30515 | − | 6.96885i | −0.276992 | − | 0.232424i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 34.7200 | + | 60.1369i | 1.15669 | + | 2.00345i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2.94970 | − | 16.7286i | 0.0981599 | − | 0.556692i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −5.25954 | + | 9.10979i | −0.174833 | + | 0.302820i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 32.2207 | + | 11.7274i | 1.06987 | + | 0.389401i | 0.816129 | − | 0.577870i | \(-0.196116\pi\) |
0.253743 | + | 0.967272i | \(0.418338\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −27.9153 | + | 23.4238i | −0.925894 | + | 0.776917i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 47.3608 | 1.56913 | 0.784567 | − | 0.620044i | \(-0.212885\pi\) | ||||
0.784567 | + | 0.620044i | \(0.212885\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.64016 | 0.153567 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −2.97491 | + | 2.49625i | −0.0983476 | + | 0.0825235i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 29.8124 | + | 10.8508i | 0.984493 | + | 0.358326i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 16.3659 | − | 28.3466i | 0.539861 | − | 0.935067i | −0.459050 | − | 0.888411i | \(-0.651810\pi\) |
0.998911 | − | 0.0466566i | \(-0.0148566\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 11.2648 | − | 63.8856i | 0.371186 | − | 2.10510i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 2.83548 | + | 4.91120i | 0.0933310 | + | 0.161654i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −6.86300 | − | 5.75874i | −0.225654 | − | 0.189346i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −4.06346 | + | 1.47898i | −0.133462 | + | 0.0485760i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 6.84874 | + | 38.8411i | 0.224700 | + | 1.27434i | 0.863258 | + | 0.504762i | \(0.168420\pi\) |
−0.638559 | + | 0.769573i | \(0.720469\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.08531 | + | 9.77727i | −0.166664 | + | 0.320437i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 12.9944 | + | 73.6947i | 0.425416 | + | 2.41265i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −2.80180 | + | 1.01977i | −0.0916286 | + | 0.0333501i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −36.8139 | − | 30.8905i | −1.20266 | − | 1.00915i | −0.999550 | − | 0.0299933i | \(-0.990451\pi\) |
−0.203108 | − | 0.979156i | \(-0.565104\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 14.2826 | + | 24.7381i | 0.466094 | + | 0.807298i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 9.76795 | − | 55.3968i | 0.318426 | − | 1.80588i | −0.233905 | − | 0.972259i | \(-0.575150\pi\) |
0.552331 | − | 0.833625i | \(-0.313738\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 22.0754 | − | 38.2358i | 0.718875 | − | 1.24513i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −5.08545 | − | 1.85095i | −0.165430 | − | 0.0602115i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −3.79169 | + | 3.18161i | −0.123213 | + | 0.103388i | −0.702312 | − | 0.711869i | \(-0.747849\pi\) |
0.579099 | + | 0.815257i | \(0.303405\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 18.7452 | 0.608495 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 45.1927 | 1.46547 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 32.8444 | − | 27.5598i | 1.06394 | − | 0.892748i | 0.0694467 | − | 0.997586i | \(-0.477877\pi\) |
0.994489 | + | 0.104837i | \(0.0334322\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.17514 | + | 1.51963i | 0.135104 | + | 0.0491740i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 2.10257 | − | 3.64175i | 0.0679663 | − | 0.117721i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0.765513 | − | 4.34144i | 0.0247197 | − | 0.140192i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9.84371 | + | 17.0498i | 0.317539 | + | 0.549994i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 13.9909 | + | 11.7397i | 0.450850 | + | 0.378308i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 4.17633 | − | 1.52006i | 0.134441 | − | 0.0489324i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1.61776 | − | 9.17475i | −0.0520235 | − | 0.295040i | 0.947684 | − | 0.319209i | \(-0.103417\pi\) |
−0.999708 | + | 0.0241688i | \(0.992306\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 6.78720 | − | 51.6956i | 0.218036 | − | 1.66070i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −1.59323 | − | 9.03568i | −0.0511293 | − | 0.289969i | 0.948512 | − | 0.316740i | \(-0.102588\pi\) |
−0.999642 | + | 0.0267717i | \(0.991477\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 55.1823 | − | 20.0847i | 1.76906 | − | 0.643886i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −4.11780 | − | 3.45525i | −0.131875 | − | 0.110656i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 18.2474 | + | 31.6055i | 0.583787 | + | 1.01115i | 0.995025 | + | 0.0996210i | \(0.0317630\pi\) |
−0.411238 | + | 0.911528i | \(0.634904\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.482094 | − | 2.73409i | 0.0154078 | − | 0.0873819i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −6.97369 | + | 12.0788i | −0.222653 | + | 0.385646i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 6.34437 | + | 2.30916i | 0.202354 | + | 0.0736508i | 0.441209 | − | 0.897404i | \(-0.354550\pi\) |
−0.238855 | + | 0.971055i | \(0.576772\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −10.0616 | + | 8.44266i | −0.320588 | + | 0.269006i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 31.8015 | 1.01225 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 21.6833 | 0.689490 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.81319 | + | 1.52145i | −0.0575979 | + | 0.0483304i | −0.671132 | − | 0.741338i | \(-0.734192\pi\) |
0.613534 | + | 0.789668i | \(0.289747\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −38.2303 | − | 13.9147i | −1.21320 | − | 0.441570i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −11.9111 | + | 20.6306i | −0.377607 | + | 0.654035i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.04984 | + | 11.6252i | −0.0649190 | + | 0.368174i | 0.934990 | + | 0.354675i | \(0.115408\pi\) |
−0.999909 | + | 0.0134997i | \(0.995703\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −7.85354 | − | 13.6027i | −0.248475 | − | 0.430371i |
(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 | 380.2.u.b.161.3 | ✓ | 18 | |
19.6 | even | 9 | 7220.2.a.w.1.9 | 9 | |||
19.13 | odd | 18 | 7220.2.a.y.1.1 | 9 | |||
19.17 | even | 9 | inner | 380.2.u.b.321.3 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.u.b.161.3 | ✓ | 18 | 1.1 | even | 1 | trivial | |
380.2.u.b.321.3 | yes | 18 | 19.17 | even | 9 | inner | |
7220.2.a.w.1.9 | 9 | 19.6 | even | 9 | |||
7220.2.a.y.1.1 | 9 | 19.13 | odd | 18 |