Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(41,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.m (of order \(11\), degree \(10\), 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: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 81.5 | ||
Character | \(\chi\) | \(=\) | 460.81 |
Dual form | 460.2.m.b.301.5 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.476853 | − | 3.31659i | 0.275311 | − | 1.91483i | −0.113545 | − | 0.993533i | \(-0.536220\pi\) |
0.388856 | − | 0.921299i | \(-0.372870\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.959493 | − | 0.281733i | 0.429098 | − | 0.125995i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.777545 | − | 0.897335i | −0.293884 | − | 0.339161i | 0.589536 | − | 0.807742i | \(-0.299311\pi\) |
−0.883420 | + | 0.468582i | \(0.844765\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −7.89387 | − | 2.31785i | −2.63129 | − | 0.772617i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.68169 | + | 2.36608i | 1.11007 | + | 0.713400i | 0.961309 | − | 0.275473i | \(-0.0888345\pi\) |
0.148763 | + | 0.988873i | \(0.452471\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.32853 | − | 2.68726i | 0.645817 | − | 0.745312i | −0.334575 | − | 0.942369i | \(-0.608593\pi\) |
0.980392 | + | 0.197057i | \(0.0631383\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.476853 | − | 3.31659i | −0.123123 | − | 0.856339i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.09760 | − | 6.78281i | −0.751279 | − | 1.64507i | −0.764053 | − | 0.645154i | \(-0.776793\pi\) |
0.0127732 | − | 0.999918i | \(-0.495934\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.281041 | + | 0.615394i | −0.0644752 | + | 0.141181i | −0.939126 | − | 0.343572i | \(-0.888363\pi\) |
0.874651 | + | 0.484753i | \(0.161090\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.34686 | + | 2.15090i | −0.730345 | + | 0.469364i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.27638 | + | 2.17085i | −0.891687 | + | 0.452653i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −7.27578 | + | 15.9317i | −1.40023 | + | 3.06607i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.30938 | + | 5.05684i | 0.428841 | + | 0.939032i | 0.993513 | + | 0.113716i | \(0.0362755\pi\) |
−0.564672 | + | 0.825316i | \(0.690997\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.06154 | + | 7.38314i | 0.190657 | + | 1.32605i | 0.830273 | + | 0.557357i | \(0.188184\pi\) |
−0.639616 | + | 0.768695i | \(0.720907\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 9.60293 | − | 11.0824i | 1.67166 | − | 1.92919i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.998858 | − | 0.641927i | −0.168838 | − | 0.108505i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.12643 | + | 0.918002i | 0.513982 | + | 0.150919i | 0.528430 | − | 0.848977i | \(-0.322781\pi\) |
−0.0144482 | + | 0.999896i | \(0.504599\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7.80217 | − | 9.00418i | −1.24935 | − | 1.44182i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.80653 | + | 0.824072i | −0.438307 | + | 0.128699i | −0.493439 | − | 0.869781i | \(-0.664260\pi\) |
0.0551318 | + | 0.998479i | \(0.482442\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.0371236 | − | 0.258201i | 0.00566130 | − | 0.0393752i | −0.986795 | − | 0.161974i | \(-0.948214\pi\) |
0.992456 | + | 0.122599i | \(0.0391229\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −8.22713 | −1.22643 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 8.95202 | 1.30579 | 0.652893 | − | 0.757450i | \(-0.273555\pi\) | ||||
0.652893 | + | 0.757450i | \(0.273555\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.795570 | − | 5.53331i | 0.113653 | − | 0.790473i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −23.9729 | + | 7.03907i | −3.35687 | + | 0.985667i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.214590 | + | 0.247650i | 0.0294762 | + | 0.0340174i | 0.770296 | − | 0.637686i | \(-0.220108\pi\) |
−0.740820 | + | 0.671704i | \(0.765563\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.19916 | + | 1.23298i | 0.566214 | + | 0.166256i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.90699 | + | 1.22555i | 0.252587 | + | 0.162328i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.67676 | − | 4.24321i | 0.478673 | − | 0.552419i | −0.464130 | − | 0.885767i | \(-0.653633\pi\) |
0.942804 | + | 0.333348i | \(0.108179\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.80806 | − | 12.5753i | −0.231498 | − | 1.61010i | −0.691630 | − | 0.722252i | \(-0.743107\pi\) |
0.460132 | − | 0.887850i | \(-0.347802\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 4.05795 | + | 8.88568i | 0.511254 | + | 1.11949i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.47711 | − | 3.23443i | 0.183214 | − | 0.401182i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.13686 | − | 3.30126i | 0.627567 | − | 0.403313i | −0.187841 | − | 0.982199i | \(-0.560149\pi\) |
0.815408 | + | 0.578887i | \(0.196513\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 5.16060 | + | 15.2182i | 0.621263 | + | 1.83205i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.11603 | − | 5.21585i | 0.963195 | − | 0.619008i | 0.0383145 | − | 0.999266i | \(-0.487801\pi\) |
0.924880 | + | 0.380258i | \(0.124165\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.66263 | − | 3.64065i | 0.194596 | − | 0.426106i | −0.787032 | − | 0.616913i | \(-0.788383\pi\) |
0.981628 | + | 0.190807i | \(0.0611105\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.39193 | − | 3.04790i | −0.160726 | − | 0.351941i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.739515 | − | 5.14344i | −0.0842756 | − | 0.586150i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.08434 | + | 2.40546i | −0.234507 | + | 0.270635i | −0.860790 | − | 0.508960i | \(-0.830030\pi\) |
0.626283 | + | 0.779596i | \(0.284575\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 28.6062 | + | 18.3841i | 3.17847 | + | 2.04268i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 11.7857 | + | 3.46059i | 1.29365 | + | 0.379850i | 0.854915 | − | 0.518767i | \(-0.173609\pi\) |
0.438734 | + | 0.898617i | \(0.355427\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.88307 | − | 5.63536i | −0.529643 | − | 0.611241i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 17.8727 | − | 5.24789i | 1.91615 | − | 0.562633i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.31347 | + | 9.13536i | −0.139227 | + | 0.968347i | 0.793707 | + | 0.608300i | \(0.208148\pi\) |
−0.932934 | + | 0.360047i | \(0.882761\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.22191 | −0.442576 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 24.9930 | 2.59166 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.0962803 | + | 0.669644i | −0.00987815 | + | 0.0687041i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.30749 | + | 1.85205i | −0.640428 | + | 0.188047i | −0.585794 | − | 0.810460i | \(-0.699217\pi\) |
−0.0546339 | + | 0.998506i | \(0.517399\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −23.5786 | − | 27.2111i | −2.36974 | − | 2.73482i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 15.6564 | + | 4.59713i | 1.55787 | + | 0.457432i | 0.943441 | − | 0.331541i | \(-0.107569\pi\) |
0.614428 | + | 0.788973i | \(0.289387\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.25957 | − | 3.38012i | −0.518240 | − | 0.333053i | 0.255235 | − | 0.966879i | \(-0.417847\pi\) |
−0.773476 | + | 0.633826i | \(0.781483\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.60531 | + | 3.00669i | −0.254253 | + | 0.293423i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.909396 | + | 6.32499i | 0.0879146 | + | 0.611460i | 0.985380 | + | 0.170374i | \(0.0544975\pi\) |
−0.897465 | + | 0.441086i | \(0.854593\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.10505 | − | 8.98881i | −0.393193 | − | 0.860972i | −0.997915 | − | 0.0645360i | \(-0.979443\pi\) |
0.604723 | − | 0.796436i | \(-0.293284\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.53548 | − | 9.93131i | 0.430489 | − | 0.942639i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −15.1488 | + | 9.73552i | −1.42508 | + | 0.915841i | −0.425133 | + | 0.905131i | \(0.639773\pi\) |
−0.999943 | + | 0.0107101i | \(0.996591\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.49156 | + | 3.28771i | −0.325589 | + | 0.306580i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −24.6098 | + | 15.8157i | −2.27517 | + | 1.46216i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −3.67792 | + | 8.05353i | −0.337155 | + | 0.738266i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.38695 | + | 7.41639i | 0.307905 | + | 0.674218i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.39480 | + | 9.70107i | 0.125765 | + | 0.874716i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.654861 | − | 0.755750i | 0.0585725 | − | 0.0675963i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.995004 | + | 0.639450i | 0.0882923 | + | 0.0567420i | 0.584042 | − | 0.811723i | \(-0.301470\pi\) |
−0.495750 | + | 0.868465i | \(0.665107\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.838642 | − | 0.246247i | −0.0738383 | − | 0.0216809i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.93750 | + | 5.69817i | 0.431391 | + | 0.497852i | 0.929273 | − | 0.369393i | \(-0.120434\pi\) |
−0.497882 | + | 0.867245i | \(0.665889\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.770736 | − | 0.226309i | 0.0668313 | − | 0.0196234i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −2.49257 | + | 17.3362i | −0.214526 | + | 1.49206i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.34946 | 0.542471 | 0.271235 | − | 0.962513i | \(-0.412568\pi\) | ||||
0.271235 | + | 0.962513i | \(0.412568\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.49299 | −0.465909 | −0.232955 | − | 0.972488i | \(-0.574839\pi\) | ||||
−0.232955 | + | 0.972488i | \(0.574839\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.26880 | − | 29.6901i | 0.359497 | − | 2.50036i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 14.9312 | − | 4.38419i | 1.24861 | − | 0.366625i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.64051 | + | 4.20138i | 0.302328 | + | 0.348905i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −17.9723 | − | 5.27715i | −1.48233 | − | 0.435252i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.03314 | − | 1.30662i | −0.166561 | − | 0.107042i | 0.454705 | − | 0.890642i | \(-0.349745\pi\) |
−0.621266 | + | 0.783600i | \(0.713381\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.78272 | − | 4.36549i | 0.307833 | − | 0.355258i | −0.580662 | − | 0.814145i | \(-0.697206\pi\) |
0.888495 | + | 0.458887i | \(0.151752\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 8.73056 | + | 60.7224i | 0.705824 | + | 4.90911i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.09861 | + | 6.78500i | 0.248886 | + | 0.544985i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.52527 | − | 12.0987i | 0.440964 | − | 0.965578i | −0.550456 | − | 0.834864i | \(-0.685546\pi\) |
0.991420 | − | 0.130713i | \(-0.0417267\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.923682 | − | 0.593614i | 0.0732527 | − | 0.0470767i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 5.27306 | + | 2.14941i | 0.415575 | + | 0.169397i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −18.0420 | + | 11.5949i | −1.41316 | + | 0.908181i | −0.999997 | − | 0.00247816i | \(-0.999211\pi\) |
−0.413160 | + | 0.910659i | \(0.635575\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.09168 | − | 13.3389i | 0.474237 | − | 1.03843i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 4.56587 | + | 9.99786i | 0.353317 | + | 0.773657i | 0.999941 | + | 0.0108482i | \(0.00345315\pi\) |
−0.646624 | + | 0.762809i | \(0.723820\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.0507481 | + | 0.352961i | 0.00390370 | + | 0.0271508i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.64489 | − | 4.20643i | 0.278732 | − | 0.321674i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 9.61592 | + | 6.17977i | 0.731084 | + | 0.469839i | 0.852477 | − | 0.522765i | \(-0.175100\pi\) |
−0.121392 | + | 0.992605i | \(0.538736\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.13925 | − | 0.334514i | −0.0861191 | − | 0.0252868i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −12.3197 | − | 14.2177i | −0.926004 | − | 1.06867i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −23.2970 | + | 6.84061i | −1.74130 | + | 0.511291i | −0.989049 | − | 0.147588i | \(-0.952849\pi\) |
−0.752249 | + | 0.658879i | \(0.771031\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.378349 | − | 2.63147i | 0.0281225 | − | 0.195596i | −0.970917 | − | 0.239416i | \(-0.923044\pi\) |
0.999039 | + | 0.0438205i | \(0.0139530\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −42.5692 | −3.14681 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 3.25842 | 0.239564 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.64424 | − | 32.3014i | 0.339620 | − | 2.36211i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 19.9534 | − | 5.85883i | 1.45139 | − | 0.426167i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −7.14252 | − | 8.24291i | −0.516815 | − | 0.596436i | 0.436016 | − | 0.899939i | \(-0.356389\pi\) |
−0.952830 | + | 0.303503i | \(0.901844\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.85222 | + | 1.71837i | 0.421252 | + | 0.123691i | 0.485487 | − | 0.874244i | \(-0.338642\pi\) |
−0.0642346 | + | 0.997935i | \(0.520461\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −10.0229 | − | 6.44133i | −0.717755 | − | 0.461273i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.33340 | − | 1.53883i | 0.0950009 | − | 0.109637i | −0.706258 | − | 0.707954i | \(-0.749618\pi\) |
0.801259 | + | 0.598317i | \(0.204164\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.564255 | + | 3.92448i | 0.0399990 | + | 0.278199i | 0.999998 | − | 0.00180308i | \(-0.000573939\pi\) |
−0.959999 | + | 0.280002i | \(0.909665\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −8.49938 | − | 18.6110i | −0.599500 | − | 1.31272i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 2.74203 | − | 6.00421i | 0.192453 | − | 0.421413i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.46068 | + | 1.58138i | −0.171861 | + | 0.110449i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 38.7889 | − | 7.22439i | 2.69601 | − | 0.502130i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.49078 | + | 1.60072i | −0.172291 | + | 0.110724i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.01935 | + | 6.61145i | −0.207861 | + | 0.455151i | −0.984634 | − | 0.174628i | \(-0.944128\pi\) |
0.776774 | + | 0.629780i | \(0.216855\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −13.4287 | − | 29.4047i | −0.920117 | − | 2.01478i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.0371236 | − | 0.258201i | −0.00253181 | − | 0.0176091i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.79976 | − | 6.69328i | 0.393713 | − | 0.454369i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −11.2817 | − | 7.25030i | −0.762346 | − | 0.489930i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −25.4400 | − | 7.46987i | −1.71128 | − | 0.502478i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.01476 | + | 1.17109i | 0.0679531 | + | 0.0784221i | 0.788708 | − | 0.614768i | \(-0.210750\pi\) |
−0.720755 | + | 0.693190i | \(0.756205\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −7.89387 | + | 2.31785i | −0.526258 | + | 0.154523i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2.06611 | + | 14.3701i | −0.137133 | + | 0.953778i | 0.798800 | + | 0.601597i | \(0.205469\pi\) |
−0.935932 | + | 0.352180i | \(0.885440\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.521668 | 0.0344728 | 0.0172364 | − | 0.999851i | \(-0.494513\pi\) | ||||
0.0172364 | + | 0.999851i | \(0.494513\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −17.4113 | −1.14558 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.46616 | + | 17.1525i | −0.161563 | + | 1.12370i | 0.734124 | + | 0.679015i | \(0.237593\pi\) |
−0.895688 | + | 0.444683i | \(0.853316\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.58940 | − | 2.52207i | 0.560310 | − | 0.164522i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 6.98399 | + | 8.05995i | 0.453659 | + | 0.523550i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 22.5875 | + | 6.63229i | 1.46106 | + | 0.429007i | 0.913183 | − | 0.407549i | \(-0.133617\pi\) |
0.547881 | + | 0.836556i | \(0.315435\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 19.8246 | + | 12.7405i | 1.27701 | + | 0.820686i | 0.990516 | − | 0.137395i | \(-0.0438730\pi\) |
0.286496 | + | 0.958081i | \(0.407509\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 40.2047 | − | 46.3987i | 2.57913 | − | 2.97648i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.795570 | − | 5.53331i | −0.0508271 | − | 0.353510i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.999313 | + | 2.18819i | 0.0635848 | + | 0.139231i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 17.0974 | − | 37.4381i | 1.08350 | − | 2.37254i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −19.1642 | + | 12.3161i | −1.20963 | + | 0.777384i | −0.980597 | − | 0.196034i | \(-0.937194\pi\) |
−0.229036 | + | 0.973418i | \(0.573557\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −20.8807 | − | 2.12586i | −1.31276 | − | 0.133652i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −21.0187 | + | 13.5079i | −1.31624 | + | 0.845896i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.34037 | − | 7.31440i | 0.208367 | − | 0.456259i | −0.776377 | − | 0.630268i | \(-0.782945\pi\) |
0.984744 | + | 0.174009i | \(0.0556722\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.60718 | − | 3.51924i | −0.0998655 | − | 0.218675i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.50897 | − | 45.2709i | −0.402895 | − | 2.80220i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −7.36274 | + | 8.49705i | −0.454006 | + | 0.523951i | −0.935894 | − | 0.352282i | \(-0.885406\pi\) |
0.481888 | + | 0.876233i | \(0.339951\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.275669 | + | 0.177162i | 0.0169342 | + | 0.0108830i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 29.6719 | + | 8.71245i | 1.81589 | + | 0.533193i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 8.27290 | + | 9.54744i | 0.504408 | + | 0.582117i | 0.949658 | − | 0.313289i | \(-0.101431\pi\) |
−0.445250 | + | 0.895406i | \(0.646885\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 13.6644 | − | 4.01223i | 0.830053 | − | 0.243726i | 0.161013 | − | 0.986952i | \(-0.448524\pi\) |
0.669040 | + | 0.743227i | \(0.266706\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.01323 | + | 14.0023i | −0.121846 | + | 0.847459i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 4.37643 | 0.263909 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −27.3997 | −1.64629 | −0.823143 | − | 0.567834i | \(-0.807781\pi\) | ||||
−0.823143 | + | 0.567834i | \(0.807781\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 8.73339 | − | 60.7421i | 0.522854 | − | 3.63653i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −19.0616 | + | 5.59698i | −1.13712 | + | 0.333888i | −0.795502 | − | 0.605952i | \(-0.792793\pi\) |
−0.341616 | + | 0.939839i | \(0.610974\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.0549 | + | 12.7581i | 0.657147 | + | 0.758389i | 0.982308 | − | 0.187270i | \(-0.0599639\pi\) |
−0.325161 | + | 0.945659i | \(0.605418\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.17502 | + | 0.638644i | 0.128837 | + | 0.0378300i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.92168 | + | 1.87765i | 0.172461 | + | 0.110834i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −25.2787 | + | 29.1732i | −1.48698 | + | 1.71607i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.13472 | + | 21.8025i | 0.183761 | + | 1.27808i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 4.96974 | + | 10.8822i | 0.290336 | + | 0.635746i | 0.997451 | − | 0.0713517i | \(-0.0227313\pi\) |
−0.707116 | + | 0.707098i | \(0.750004\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.33238 | − | 5.10719i | 0.135796 | − | 0.297352i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −64.4829 | + | 41.4407i | −3.74168 | + | 2.40463i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −4.12402 | + | 16.5466i | −0.238498 | + | 0.956916i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.260558 | + | 0.167450i | −0.0150183 | + | 0.00965167i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 22.7126 | − | 49.7336i | 1.30480 | − | 2.85712i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −5.27769 | − | 11.5565i | −0.302200 | − | 0.661725i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.68761 | − | 11.7376i | −0.0963169 | − | 0.669899i | −0.979585 | − | 0.201030i | \(-0.935571\pi\) |
0.883268 | − | 0.468868i | \(-0.155338\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −13.7185 | + | 15.8320i | −0.780418 | + | 0.900650i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.30266 | − | 2.12249i | −0.187277 | − | 0.120356i | 0.443643 | − | 0.896204i | \(-0.353686\pi\) |
−0.630920 | + | 0.775848i | \(0.717322\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −29.3419 | − | 8.61555i | −1.65850 | − | 0.486979i | −0.687525 | − | 0.726161i | \(-0.741303\pi\) |
−0.970975 | + | 0.239182i | \(0.923121\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 6.39696 | + | 7.38249i | 0.360428 | + | 0.415956i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.35653 | − | 0.398314i | 0.0761905 | − | 0.0223715i | −0.243415 | − | 0.969922i | \(-0.578268\pi\) |
0.319606 | + | 0.947551i | \(0.396450\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.46246 | + | 24.0819i | −0.193860 | + | 1.34833i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 21.4110 | 1.19505 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5.04465 | 0.280692 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.506037 | − | 3.51956i | 0.0280699 | − | 0.195230i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −31.7697 | + | 9.32842i | −1.75687 | + | 0.515863i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −6.96060 | − | 8.03296i | −0.383750 | − | 0.442871i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −22.3304 | − | 6.55681i | −1.22739 | − | 0.360395i | −0.397127 | − | 0.917764i | \(-0.629993\pi\) |
−0.830265 | + | 0.557369i | \(0.811811\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −22.5518 | − | 14.4932i | −1.23583 | − | 0.794221i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.99871 | − | 4.61475i | 0.218473 | − | 0.252131i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.08117 | − | 21.4300i | −0.167842 | − | 1.16737i | −0.883334 | − | 0.468744i | \(-0.844707\pi\) |
0.715492 | − | 0.698621i | \(-0.246203\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 25.0650 | + | 54.8846i | 1.36134 | + | 2.98092i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −13.5609 | + | 29.6941i | −0.734361 | + | 1.60803i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.5758 | + | 8.08199i | −0.679031 | + | 0.436387i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 9.23901 | + | 13.1478i | 0.497411 | + | 0.707854i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 19.5292 | − | 12.5506i | 1.04838 | − | 0.673753i | 0.101335 | − | 0.994852i | \(-0.467689\pi\) |
0.947046 | + | 0.321099i | \(0.104052\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.14484 | + | 2.50684i | −0.0612816 | + | 0.134188i | −0.937795 | − | 0.347189i | \(-0.887136\pi\) |
0.876513 | + | 0.481377i | \(0.159863\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 25.8709 | + | 56.6494i | 1.38089 | + | 3.02372i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −4.83108 | − | 33.6009i | −0.257132 | − | 1.78839i | −0.553016 | − | 0.833171i | \(-0.686523\pi\) |
0.295884 | − | 0.955224i | \(-0.404386\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.31779 | − | 7.29112i | 0.335314 | − | 0.386973i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 24.9564 | + | 16.0385i | 1.32083 | + | 0.848847i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 21.6373 | + | 6.35329i | 1.14197 | + | 0.335314i | 0.797403 | − | 0.603447i | \(-0.206206\pi\) |
0.344571 | + | 0.938760i | \(0.388025\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.1426 | + | 14.0133i | 0.639086 | + | 0.737544i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 26.2122 | − | 7.69659i | 1.37578 | − | 0.403966i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.569591 | − | 3.96159i | 0.0298138 | − | 0.207359i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −32.4307 | −1.69287 | −0.846436 | − | 0.532491i | \(-0.821256\pi\) | ||||
−0.846436 | + | 0.532491i | \(0.821256\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 24.0645 | 1.25275 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.0553717 | − | 0.385119i | 0.00287476 | − | 0.0199944i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.39550 | − | 0.409756i | 0.0722563 | − | 0.0212164i | −0.245405 | − | 0.969421i | \(-0.578921\pi\) |
0.317661 | + | 0.948204i | \(0.397103\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −2.19424 | − | 2.53228i | −0.113310 | − | 0.130767i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 18.9665 | + | 5.56907i | 0.976825 | + | 0.286822i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.26694 | − | 2.74219i | −0.219178 | − | 0.140857i | 0.426445 | − | 0.904514i | \(-0.359766\pi\) |
−0.645623 | + | 0.763656i | \(0.723402\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.59526 | − | 2.99509i | 0.132959 | − | 0.153443i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 3.54973 | + | 24.6889i | 0.181383 | + | 1.26155i | 0.853497 | + | 0.521098i | \(0.174477\pi\) |
−0.672114 | + | 0.740448i | \(0.734613\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.15864 | − | 4.72675i | −0.110014 | − | 0.240898i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.891519 | + | 1.95216i | −0.0453185 | + | 0.0992336i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −2.45119 | + | 1.57528i | −0.124280 | + | 0.0798700i | −0.601304 | − | 0.799020i | \(-0.705352\pi\) |
0.477024 | + | 0.878890i | \(0.341716\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 27.9710 | + | 22.2814i | 1.41455 | + | 1.12682i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 21.2529 | − | 13.6584i | 1.07207 | − | 0.688977i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1.32222 | + | 2.89525i | −0.0665279 | + | 0.145676i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.09815 | − | 2.40462i | −0.0551147 | − | 0.120684i | 0.880071 | − | 0.474842i | \(-0.157495\pi\) |
−0.935186 | + | 0.354158i | \(0.884768\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.383044 | − | 2.66413i | −0.0191762 | − | 0.133373i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 10.2048 | − | 11.7770i | 0.509603 | − | 0.588113i | −0.441394 | − | 0.897313i | \(-0.645516\pi\) |
0.950997 | + | 0.309200i | \(0.100061\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 22.3122 | + | 14.3392i | 1.11145 | + | 0.714287i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 32.6268 | + | 9.58011i | 1.62124 | + | 0.476039i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 9.33848 | + | 10.7772i | 0.462891 | + | 0.534205i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −33.8135 | + | 9.92854i | −1.67197 | + | 0.490935i | −0.974256 | − | 0.225443i | \(-0.927617\pi\) |
−0.697713 | + | 0.716377i | \(0.745799\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.02776 | − | 21.0585i | 0.149348 | − | 1.03874i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −6.66642 | −0.328033 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 12.2833 | 0.602962 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −2.61935 | + | 18.2180i | −0.128270 | + | 0.892137i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −3.71855 | + | 1.09187i | −0.181663 | + | 0.0533411i | −0.371299 | − | 0.928513i | \(-0.621087\pi\) |
0.189636 | + | 0.981855i | \(0.439269\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.68207 | + | 6.55746i | 0.276927 | + | 0.319591i | 0.877126 | − | 0.480259i | \(-0.159457\pi\) |
−0.600199 | + | 0.799851i | \(0.704912\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −70.6661 | − | 20.7494i | −3.43590 | − | 1.00887i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −6.27293 | − | 4.03137i | −0.304282 | − | 0.195550i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −9.87841 | + | 11.4003i | −0.478050 | + | 0.551699i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −7.42057 | − | 51.6112i | −0.358268 | − | 2.49181i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −8.80923 | − | 19.2895i | −0.424326 | − | 0.929144i | −0.994214 | − | 0.107421i | \(-0.965741\pi\) |
0.569888 | − | 0.821722i | \(-0.306987\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.62728 | − | 21.0808i | 0.462658 | − | 1.01308i | −0.524216 | − | 0.851585i | \(-0.675642\pi\) |
0.986874 | − | 0.161493i | \(-0.0516311\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 15.6702 | − | 10.0706i | 0.751329 | − | 0.482850i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.134088 | − | 3.24175i | −0.00641432 | − | 0.155074i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 17.1215 | − | 11.0033i | 0.817162 | − | 0.525158i | −0.0640124 | − | 0.997949i | \(-0.520390\pi\) |
0.881175 | + | 0.472791i | \(0.156753\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −19.1055 | + | 41.8353i | −0.909787 | + | 1.99216i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −12.9777 | − | 28.4171i | −0.616587 | − | 1.35014i | −0.917976 | − | 0.396636i | \(-0.870177\pi\) |
0.301389 | − | 0.953501i | \(-0.402550\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.31347 | + | 9.13536i | 0.0622643 | + | 0.433058i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −5.30301 | + | 6.12000i | −0.250824 | + | 0.289466i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1.40518 | − | 0.903054i | −0.0663145 | − | 0.0426177i | 0.507063 | − | 0.861909i | \(-0.330731\pi\) |
−0.573378 | + | 0.819291i | \(0.694367\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.2826 | − | 3.60650i | −0.578365 | − | 0.169823i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −12.6747 | − | 14.6274i | −0.595510 | − | 0.687255i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −4.05089 | + | 1.18945i | −0.189909 | + | 0.0557622i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.47906 | − | 17.2422i | 0.115966 | − | 0.806558i | −0.845960 | − | 0.533246i | \(-0.820972\pi\) |
0.961925 | − | 0.273312i | \(-0.0881191\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 130.599 | 6.09586 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −9.03588 | −0.420843 | −0.210421 | − | 0.977611i | \(-0.567484\pi\) | ||||
−0.210421 | + | 0.977611i | \(0.567484\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.57891 | + | 31.8470i | −0.212800 | + | 1.48006i | 0.550946 | + | 0.834541i | \(0.314267\pi\) |
−0.763746 | + | 0.645517i | \(0.776642\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 23.9806 | − | 7.04135i | 1.11207 | − | 0.326535i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.47939 | − | 1.70731i | −0.0684580 | − | 0.0790048i | 0.720487 | − | 0.693468i | \(-0.243918\pi\) |
−0.788946 | + | 0.614463i | \(0.789373\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.95647 | − | 2.04260i | −0.321220 | − | 0.0943187i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −37.4915 | − | 24.0943i | −1.72752 | − | 1.11021i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.747601 | − | 0.862777i | 0.0343747 | − | 0.0396705i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.0962803 | + | 0.669644i | 0.00441764 | + | 0.0307254i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.11993 | − | 2.45231i | −0.0512782 | − | 0.112284i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −12.7690 | + | 27.9603i | −0.583433 | + | 1.27754i | 0.355898 | + | 0.934525i | \(0.384175\pi\) |
−0.939330 | + | 0.343014i | \(0.888552\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.74688 | − | 6.26394i | 0.444419 | − | 0.285611i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 9.64318 | − | 16.4636i | 0.438780 | − | 0.749119i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −5.53021 | + | 3.55405i | −0.251114 | + | 0.161381i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.2074 | − | 26.7304i | 0.553168 | − | 1.21127i | −0.402118 | − | 0.915588i | \(-0.631726\pi\) |
0.955287 | − | 0.295682i | \(-0.0955468\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 29.8520 | + | 65.3668i | 1.34995 | + | 2.95599i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.12311 | + | 7.81139i | 0.0506852 | + | 0.352523i | 0.999344 | + | 0.0362213i | \(0.0115321\pi\) |
−0.948659 | + | 0.316302i | \(0.897559\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 27.1460 | − | 31.3282i | 1.22260 | − | 1.41095i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −30.2897 | − | 19.4660i | −1.36142 | − | 0.874933i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −10.9909 | − | 3.22723i | −0.493011 | − | 0.144761i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.86873 | − | 11.3891i | −0.441785 | − | 0.509847i | 0.490565 | − | 0.871405i | \(-0.336790\pi\) |
−0.932350 | + | 0.361558i | \(0.882245\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 35.3360 | − | 10.3756i | 1.57870 | − | 0.463547i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.60842 | + | 11.1868i | −0.0717160 | + | 0.498796i | 0.922029 | + | 0.387121i | \(0.126531\pi\) |
−0.993745 | + | 0.111675i | \(0.964379\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 16.3174 | 0.726113 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.19482 | 0.0530640 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −2.46057 | + | 17.1136i | −0.109063 | + | 0.758548i | 0.859743 | + | 0.510727i | \(0.170624\pi\) |
−0.968806 | + | 0.247821i | \(0.920285\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.55965 | + | 1.33883i | −0.201707 | + | 0.0592265i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −7.75950 | − | 8.95494i | −0.342590 | − | 0.395370i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −5.99881 | − | 1.76141i | −0.264339 | − | 0.0776169i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 32.9586 | + | 21.1812i | 1.44952 | + | 0.931547i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 25.0811 | − | 28.9452i | 1.10094 | − | 1.27055i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −0.00980726 | − | 0.0682110i | −0.000429664 | − | 0.00298838i | 0.989605 | − | 0.143809i | \(-0.0459351\pi\) |
−0.990035 | + | 0.140820i | \(0.955026\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.18939 | − | 6.98379i | −0.139462 | − | 0.305380i | 0.826994 | − | 0.562211i | \(-0.190049\pi\) |
−0.966456 | + | 0.256831i | \(0.917322\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −1.65270 | + | 3.61890i | −0.0721296 | + | 0.157942i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 46.7902 | − | 30.0702i | 2.03821 | − | 1.30988i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.5748 | − | 18.5667i | 0.590211 | − | 0.807249i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −38.8590 | + | 24.9732i | −1.68634 | + | 1.08374i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.32059 | + | 9.46076i | −0.187145 | + | 0.409791i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.65451 | + | 5.81257i | 0.114765 | + | 0.251300i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 11.5782 | + | 80.5284i | 0.499638 | + | 3.47506i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 16.0213 | − | 18.4896i | 0.690086 | − | 0.796402i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 36.9179 | + | 23.7257i | 1.58723 | + | 1.02005i | 0.972967 | + | 0.230944i | \(0.0741814\pi\) |
0.614259 | + | 0.789104i | \(0.289455\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −8.54709 | − | 2.50965i | −0.366791 | − | 0.107700i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −6.47121 | − | 7.46818i | −0.277196 | − | 0.319902i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.55632 | + | 0.750602i | −0.109300 | + | 0.0320934i | −0.335925 | − | 0.941889i | \(-0.609049\pi\) |
0.226625 | + | 0.973982i | \(0.427231\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −14.8751 | + | 103.459i | −0.634854 | + | 4.41551i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.76098 | −0.160223 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.77917 | 0.160707 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.55379 | − | 10.8068i | 0.0659545 | − | 0.458724i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −20.7800 | + | 6.10156i | −0.880477 | + | 0.258531i | −0.690565 | − | 0.723270i | \(-0.742638\pi\) |
−0.189911 | + | 0.981801i | \(0.560820\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.607409 | − | 0.700988i | −0.0256907 | − | 0.0296486i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −104.916 | − | 30.8060i | −4.42954 | − | 1.30063i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 14.1247 | + | 9.07737i | 0.595283 | + | 0.382565i | 0.803313 | − | 0.595557i | \(-0.203069\pi\) |
−0.208030 | + | 0.978123i | \(0.566705\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −11.7923 | + | 13.6091i | −0.496107 | + | 0.572538i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −5.74593 | − | 39.9638i | −0.241306 | − | 1.67832i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0.748818 | + | 1.63968i | 0.0313921 | + | 0.0687391i | 0.924679 | − | 0.380749i | \(-0.124334\pi\) |
−0.893286 | + | 0.449488i | \(0.851606\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −19.7417 | + | 43.2282i | −0.826163 | + | 1.80904i | −0.316802 | + | 0.948492i | \(0.602609\pi\) |
−0.509361 | + | 0.860553i | \(0.670118\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −30.7442 | + | 19.7581i | −1.28436 | + | 0.825407i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.42387 | + | 4.13822i | −0.101082 | + | 0.172576i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.1894 | − | 6.54836i | 0.424192 | − | 0.272612i | −0.311080 | − | 0.950384i | \(-0.600691\pi\) |
0.735272 | + | 0.677772i | \(0.237054\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 8.48976 | − | 18.5900i | 0.352823 | − | 0.772574i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.05860 | − | 13.2665i | −0.251353 | − | 0.550387i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.204095 | + | 1.41951i | 0.00845274 | + | 0.0587901i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −19.1571 | + | 22.1085i | −0.792048 | + | 0.914072i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −5.91913 | − | 3.80399i | −0.244309 | − | 0.157008i | 0.412757 | − | 0.910841i | \(-0.364566\pi\) |
−0.657065 | + | 0.753834i | \(0.728202\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.84187 | − | 1.42170i | −0.199506 | − | 0.0585802i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −4.46782 | − | 5.15613i | −0.183781 | − | 0.212095i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −11.8213 | + | 3.47104i | −0.485442 | + | 0.142539i | −0.515290 | − | 0.857016i | \(-0.672316\pi\) |
0.0298482 | + | 0.999554i | \(0.490498\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.26000 | + | 8.76349i | −0.0516550 | + | 0.359268i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 13.2849 | 0.543716 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −2.69791 | −0.110234 | −0.0551168 | − | 0.998480i | \(-0.517553\pi\) | ||||
−0.0551168 | + | 0.998480i | \(0.517553\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.396108 | + | 2.75499i | −0.0161576 | + | 0.112378i | −0.996304 | − | 0.0858962i | \(-0.972625\pi\) |
0.980147 | + | 0.198275i | \(0.0635338\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −48.2015 | + | 14.1532i | −1.96292 | + | 0.576365i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 5.33920 | + | 6.16176i | 0.217069 | + | 0.250511i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22.1795 | − | 6.51248i | −0.900237 | − | 0.264333i | −0.201311 | − | 0.979527i | \(-0.564520\pi\) |
−0.698926 | + | 0.715194i | \(0.746338\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −18.6059 | − | 11.9573i | −0.753950 | − | 0.484535i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 20.8450 | − | 24.0564i | 0.843299 | − | 0.973218i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.06633 | − | 21.3268i | −0.123848 | − | 0.861382i | −0.953132 | − | 0.302555i | \(-0.902160\pi\) |
0.829284 | − | 0.558828i | \(-0.188749\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.07141 | + | 8.91515i | 0.164175 | + | 0.359493i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −7.69786 | + | 16.8560i | −0.309904 | + | 0.678596i | −0.998935 | − | 0.0461363i | \(-0.985309\pi\) |
0.689031 | + | 0.724732i | \(0.258036\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.16537 | + | 2.03426i | −0.127227 | + | 0.0817638i | −0.602706 | − | 0.797963i | \(-0.705911\pi\) |
0.475479 | + | 0.879727i | \(0.342275\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.47138 | − | 83.9248i | −0.139302 | − | 3.36779i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 9.21876 | − | 5.92454i | 0.369342 | − | 0.237362i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 4.12121 | + | 9.02418i | 0.164585 | + | 0.360391i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −3.45781 | − | 24.0496i | −0.137872 | − | 0.958919i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.47004 | − | 2.85057i | 0.0983306 | − | 0.113480i | −0.704451 | − | 0.709752i | \(-0.748807\pi\) |
0.802782 | + | 0.596273i | \(0.203352\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 20.4877 | + | 13.1666i | 0.814312 | + | 0.523326i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.13485 | + | 0.333223i | 0.0450353 | + | 0.0132236i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −13.0170 | − | 15.0224i | −0.515751 | − | 0.595208i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −76.1564 | + | 22.3615i | −3.01270 | + | 0.884609i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 0.122868 | − | 0.854564i | 0.00485298 | − | 0.0337532i | −0.987251 | − | 0.159171i | \(-0.949118\pi\) |
0.992104 | + | 0.125418i | \(0.0400270\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2.16664 | −0.0854438 | −0.0427219 | − | 0.999087i | \(-0.513603\pi\) | ||||
−0.0427219 | + | 0.999087i | \(0.513603\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.874047 | −0.0344156 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 0.813619 | − | 5.65884i | 0.0319867 | − | 0.222472i | −0.967558 | − | 0.252649i | \(-0.918698\pi\) |
0.999545 | + | 0.0301773i | \(0.00960719\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 23.5765 | − | 6.92267i | 0.925457 | − | 0.271739i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −19.4332 | − | 22.4271i | −0.761647 | − | 0.878988i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −37.6057 | − | 11.0420i | −1.47163 | − | 0.432108i | −0.554999 | − | 0.831851i | \(-0.687281\pi\) |
−0.916627 | + | 0.399743i | \(0.869099\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.34285 | + | 4.07630i | 0.247836 | + | 0.159274i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −21.5631 | + | 24.8851i | −0.841255 | + | 0.970860i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −6.29604 | − | 43.7899i | −0.245259 | − | 1.70581i | −0.624921 | − | 0.780688i | \(-0.714869\pi\) |
0.379662 | − | 0.925125i | \(-0.376040\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.1453 | + | 22.2152i | 0.394608 | + | 0.864070i | 0.997789 | + | 0.0664660i | \(0.0211724\pi\) |
−0.603181 | + | 0.797604i | \(0.706100\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −36.9056 | + | 80.8120i | −1.43330 | + | 3.13848i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.675757 | − | 0.434283i | 0.0262048 | − | 0.0168408i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −20.8534 | − | 16.6117i | −0.807448 | − | 0.643206i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 4.36792 | − | 2.80709i | 0.168873 | − | 0.108528i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 23.0975 | − | 50.5764i | 0.891668 | − | 1.95248i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.7475 | + | 32.2925i | 0.568475 | + | 1.24479i | 0.947605 | + | 0.319443i | \(0.103496\pi\) |
−0.379131 | + | 0.925343i | \(0.623777\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 2.49257 | + | 17.3362i | 0.0959391 | + | 0.667271i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 22.1260 | − | 25.5348i | 0.850372 | − | 0.981381i | −0.149601 | − | 0.988746i | \(-0.547799\pi\) |
0.999973 | + | 0.00736535i | \(0.00234448\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.56626 | + | 4.21988i | 0.251990 | + | 0.161944i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 46.6745 | + | 13.7049i | 1.78857 | + | 0.525171i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 12.1459 | + | 14.0171i | 0.464748 | + | 0.536348i | 0.938943 | − | 0.344072i | \(-0.111806\pi\) |
−0.474195 | + | 0.880420i | \(0.657261\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.09226 | − | 1.78885i | 0.232773 | − | 0.0683484i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.248759 | − | 1.73016i | 0.00949074 | − | 0.0660096i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.16518 | 0.0443898 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.80554 | 0.373020 | 0.186510 | − | 0.982453i | \(-0.440282\pi\) | ||||
0.186510 | + | 0.982453i | \(0.440282\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −6.08409 | + | 42.3158i | −0.231115 | + | 1.60744i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −5.27048 | + | 1.54755i | −0.199921 | + | 0.0587020i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14.2831 | + | 16.4835i | 0.541009 | + | 0.624358i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 55.7118 | + | 16.3585i | 2.10721 | + | 0.618734i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −16.9752 | − | 10.9093i | −0.641146 | − | 0.412039i | 0.179276 | − | 0.983799i | \(-0.442625\pi\) |
−0.820421 | + | 0.571760i | \(0.806261\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.44359 | + | 1.66599i | −0.0544459 | + | 0.0628339i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.26880 | − | 29.6901i | −0.160772 | − | 1.11819i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −8.04838 | − | 17.6235i | −0.302691 | − | 0.662800i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.1400 | − | 26.5830i | 0.455928 | − | 0.998344i | −0.532468 | − | 0.846450i | \(-0.678736\pi\) |
0.988397 | − | 0.151894i | \(-0.0485372\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 22.0290 | − | 14.1572i | 0.826153 | − | 0.530936i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −20.5672 | − | 29.2687i | −0.770248 | − | 1.09612i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 13.0912 | − | 8.41320i | 0.489583 | − | 0.314636i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 32.7675 | − | 71.7508i | 1.22372 | − | 2.67958i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 8.17751 | + | 17.9062i | 0.304970 | + | 0.667790i | 0.998620 | − | 0.0525218i | \(-0.0167259\pi\) |
−0.693650 | + | 0.720312i | \(0.743999\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.05645 | + | 7.34779i | 0.0393443 | + | 0.273646i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 51.7083 | − | 59.6745i | 1.92305 | − | 2.21932i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 4.67671 | + | 3.00554i | 0.173689 | + | 0.111623i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −34.1831 | − | 10.0371i | −1.26778 | − | 0.372255i | −0.422397 | − | 0.906411i | \(-0.638811\pi\) |
−0.845386 | + | 0.534156i | \(0.820629\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −67.9094 | − | 78.3716i | −2.51516 | − | 2.90265i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −1.86632 | + | 0.548001i | −0.0690283 | + | 0.0202685i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.64460 | − | 25.3488i | 0.134616 | − | 0.936278i | −0.804811 | − | 0.593531i | \(-0.797734\pi\) |
0.939428 | − | 0.342747i | \(-0.111357\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −18.7311 | −0.690906 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 26.7234 | 0.984368 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.972178 | + | 6.76165i | −0.0357622 | + | 0.248731i | −0.999859 | − | 0.0168214i | \(-0.994645\pi\) |
0.964096 | + | 0.265553i | \(0.0855544\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 7.73385 | − | 2.27086i | 0.284110 | − | 0.0834222i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 20.2001 | + | 23.3122i | 0.741071 | + | 0.855242i | 0.993671 | − | 0.112329i | \(-0.0358311\pi\) |
−0.252600 | + | 0.967571i | \(0.581286\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.31890 | − | 0.680889i | −0.0849577 | − | 0.0249458i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −85.0137 | − | 54.6350i | −3.11049 | − | 1.99899i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.96854 | − | 5.73400i | 0.181546 | − | 0.209516i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.0565450 | + | 0.393279i | 0.00206335 | + | 0.0143509i | 0.990827 | − | 0.135136i | \(-0.0431470\pi\) |
−0.988764 | + | 0.149487i | \(0.952238\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 31.7088 | + | 69.4326i | 1.15553 | + | 2.53027i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 2.39959 | − | 5.25437i | 0.0873300 | − | 0.191226i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.137639 | − | 0.0884549i | 0.00500256 | − | 0.00321495i | −0.538137 | − | 0.842857i | \(-0.680872\pi\) |
0.543140 | + | 0.839642i | \(0.317235\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −17.0076 | + | 68.2389i | −0.617338 | + | 2.47692i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 43.3049 | − | 27.8303i | 1.56980 | − | 1.00885i | 0.590354 | − | 0.807145i | \(-0.298988\pi\) |
0.979446 | − | 0.201705i | \(-0.0646481\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.87411 | + | 10.6728i | −0.176455 | + | 0.386382i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 25.4844 | + | 55.8030i | 0.921390 | + | 2.01756i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −2.84118 | − | 19.7608i | −0.102589 | − | 0.713522i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −27.8730 | + | 32.1671i | −1.00513 | + | 1.15998i | −0.0180314 | + | 0.999837i | \(0.505740\pi\) |
−0.987094 | + | 0.160140i | \(0.948806\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −22.6660 | − | 14.5665i | −0.816294 | − | 0.524600i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −21.1356 | − | 6.20598i | −0.760195 | − | 0.223214i | −0.121414 | − | 0.992602i | \(-0.538743\pi\) |
−0.638781 | + | 0.769388i | \(0.720561\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.88465 | + | 5.63718i | 0.175462 | + | 0.202494i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −12.4383 | + | 3.65220i | −0.446220 | + | 0.131022i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.281622 | − | 1.95872i | 0.0100901 | − | 0.0701785i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 42.2218 | 1.51082 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −97.3668 | −3.47961 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1.89287 | − | 13.1652i | 0.0675595 | − | 0.469887i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −15.5638 | + | 4.56993i | −0.554788 | + | 0.162900i | −0.547096 | − | 0.837070i | \(-0.684267\pi\) |
−0.00769220 | + | 0.999970i | \(0.502449\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 24.6703 | + | 28.4710i | 0.878285 | + | 1.01359i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 20.5149 | + | 6.02371i | 0.729425 | + | 0.214178i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −38.0032 | − | 24.4232i | −1.34953 | − | 0.867293i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0.719026 | − | 0.829800i | 0.0255012 | − | 0.0294300i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 6.10124 | + | 42.4350i | 0.216117 | + | 1.50313i | 0.752185 | + | 0.658951i | \(0.229000\pi\) |
−0.536069 | + | 0.844174i | \(0.680091\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −27.7298 | − | 60.7198i | −0.981010 | − | 2.14811i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 31.5427 | − | 69.0690i | 1.11451 | − | 2.44043i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 14.7353 | − | 9.46983i | 0.519999 | − | 0.334183i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.66502 | + | 0.576755i | 0.199666 | + | 0.0203279i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 35.6098 | − | 22.8851i | 1.25353 | − | 0.805592i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 13.3581 | − | 29.2501i | 0.469645 | − | 1.02838i | −0.515537 | − | 0.856867i | \(-0.672408\pi\) |
0.985182 | − | 0.171512i | \(-0.0548651\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −19.3621 | − | 42.3970i | −0.679895 | − | 1.48876i | −0.862755 | − | 0.505623i | \(-0.831263\pi\) |
0.182860 | − | 0.983139i | \(-0.441464\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −6.79099 | − | 47.2324i | −0.238170 | − | 1.65651i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −14.0445 | + | 16.2082i | −0.491957 | + | 0.567749i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.148462 | + | 0.0954106i | 0.00519402 | + | 0.00333799i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 33.3272 | + | 9.78575i | 1.16455 | + | 0.341942i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −30.3782 | − | 35.0583i | −1.06021 | − | 1.22354i | −0.973829 | − | 0.227281i | \(-0.927017\pi\) |
−0.0863770 | − | 0.996263i | \(-0.527529\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 29.1969 | − | 8.57297i | 1.01774 | − | 0.298835i | 0.270023 | − | 0.962854i | \(-0.412969\pi\) |
0.747716 | + | 0.664019i | \(0.231151\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.08692 | − | 14.5148i | 0.0726571 | − | 0.505341i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −15.9583 | −0.554923 | −0.277462 | − | 0.960737i | \(-0.589493\pi\) | ||||
−0.277462 | + | 0.960737i | \(0.589493\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 44.9909 | 1.56260 | 0.781300 | − | 0.624156i | \(-0.214557\pi\) | ||||
0.781300 | + | 0.624156i | \(0.214557\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −13.0656 | + | 90.8733i | −0.453241 | + | 3.15236i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −39.9958 | + | 11.7438i | −1.38577 | + | 0.406899i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 7.19764 | + | 8.30652i | 0.249085 | + | 0.287459i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −125.350 | − | 36.8060i | −4.33272 | − | 1.27220i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 2.11516 | + | 1.35933i | 0.0730235 | + | 0.0469294i | 0.576643 | − | 0.816996i | \(-0.304362\pi\) |
−0.503620 | + | 0.863926i | \(0.667999\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.24744 | + | 1.43962i | −0.0430150 | + | 0.0496420i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 9.47330 | + | 65.8883i | 0.326278 | + | 2.26931i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0.148133 | + | 0.324366i | 0.00509593 | + | 0.0111585i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.02148 | − | 8.80581i | 0.138180 | − | 0.302571i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 47.5848 | − | 30.5809i | 1.63311 | − | 1.04953i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −15.3626 | + | 2.86127i | −0.526624 | + | 0.0980832i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −11.5136 | + | 7.39936i | −0.394219 | + | 0.253349i | −0.722701 | − | 0.691161i | \(-0.757099\pi\) |
0.328482 | + | 0.944510i | \(0.393463\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.31216 | − | 5.06292i | 0.0790742 | − | 0.173148i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 8.75381 | + | 19.1682i | 0.299024 | + | 0.654772i | 0.998187 | − | 0.0601908i | \(-0.0191709\pi\) |
−0.699163 | + | 0.714963i | \(0.746444\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.53104 | − | 10.6486i | −0.0522386 | − | 0.363327i | −0.999127 | − | 0.0417662i | \(-0.986702\pi\) |
0.946889 | − | 0.321561i | \(-0.104208\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 7.62058 | − | 8.79462i | 0.259709 | − | 0.299720i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 17.2661 | + | 11.0963i | 0.587746 | + | 0.377721i | 0.800454 | − | 0.599394i | \(-0.204592\pi\) |
−0.212708 | + | 0.977116i | \(0.568228\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.9674 | + | 3.22033i | 0.372904 | + | 0.109495i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 84.7011 | + | 97.7502i | 2.87660 | + | 3.31977i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −13.3654 | + | 3.92444i | −0.453391 | + | 0.133128i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.08996 | − | 21.4911i | 0.104699 | − | 0.728200i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 54.0832 | 1.83044 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.18734 | −0.0401396 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −6.95382 | + | 48.3649i | −0.234814 | + | 1.63317i | 0.442003 | + | 0.897014i | \(0.354268\pi\) |
−0.676817 | + | 0.736152i | \(0.736641\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 38.4617 | − | 11.2934i | 1.29728 | − | 0.380916i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 18.1383 | + | 20.9327i | 0.611094 | + | 0.705239i | 0.973990 | − | 0.226590i | \(-0.0727577\pi\) |
−0.362897 | + | 0.931829i | \(0.618212\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 30.9319 | + | 9.08244i | 1.04094 | + | 0.305648i | 0.757153 | − | 0.653238i | \(-0.226590\pi\) |
0.283790 | + | 0.958886i | \(0.408408\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −15.8262 | − | 10.1709i | −0.531993 | − | 0.341891i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −12.1370 | + | 14.0068i | −0.407519 | + | 0.470302i | −0.921994 | − | 0.387203i | \(-0.873441\pi\) |
0.514475 | + | 0.857505i | \(0.327987\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.199859 | − | 1.39005i | −0.00670307 | − | 0.0466209i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 61.8210 | + | 135.369i | 2.07108 | + | 4.53503i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −2.51588 | + | 5.50901i | −0.0841908 | + | 0.184352i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −20.4261 | + | 13.1270i | −0.682768 | + | 0.438788i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 52.9117 | + | 21.5680i | 1.76667 | + | 0.720134i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −34.8839 | + | 22.4185i | −1.16344 | + | 0.747699i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.01505 | − | 2.22265i | 0.0338162 | − | 0.0740471i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.431115 | + | 0.944011i | 0.0143466 | + | 0.0314147i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −0.378349 | − | 2.63147i | −0.0125767 | − | 0.0874732i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.12306 | − | 3.60420i | 0.103699 | − | 0.119675i | −0.701527 | − | 0.712643i | \(-0.747498\pi\) |
0.805227 | + | 0.592967i | \(0.202044\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −112.934 | − | 72.5783i | −3.74579 | − | 2.40727i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −18.3651 | − | 5.39248i | −0.608463 | − | 0.178661i | −0.0370361 | − | 0.999314i | \(-0.511792\pi\) |
−0.571427 | + | 0.820653i | \(0.693610\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 35.2033 | + | 40.6268i | 1.16506 | + | 1.34455i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −40.8449 | + | 11.9931i | −1.35029 | + | 0.396481i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 1.27404 | − | 8.86117i | 0.0420727 | − | 0.292622i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 28.9673 | 0.955543 | 0.477771 | − | 0.878484i | \(-0.341445\pi\) | ||||
0.477771 | + | 0.878484i | \(0.341445\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −39.7334 | −1.30926 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 4.88201 | − | 33.9551i | 0.160693 | − | 1.11765i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.12643 | − | 0.918002i | 0.102796 | − | 0.0301837i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 33.6837 | + | 38.8731i | 1.10632 | + | 1.27676i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 17.1365 | + | 5.03174i | 0.562231 | + | 0.165086i | 0.550485 | − | 0.834845i | \(-0.314443\pi\) |
0.0117461 | + | 0.999931i | \(0.496261\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.18158 | + | 2.04468i | 0.104272 | + | 0.0670116i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −8.61432 | + | 9.94145i | −0.282020 | + | 0.325469i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −4.64424 | − | 32.3014i | −0.151883 | − | 1.05637i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −0.446757 | − | 0.978262i | −0.0145949 | − | 0.0319584i | 0.902194 | − | 0.431330i | \(-0.141956\pi\) |
−0.916789 | + | 0.399372i | \(0.869228\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −42.5659 | + | 93.2064i | −1.38909 | + | 3.04168i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −42.5753 | + | 27.3615i | −1.38791 | + | 0.891958i | −0.999563 | − | 0.0295535i | \(-0.990591\pi\) |
−0.388351 | + | 0.921512i | \(0.626955\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 10.2129 | − | 9.61660i | 0.332577 | − | 0.313160i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 17.4945 | − | 11.2430i | 0.569096 | − | 0.365735i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 15.7035 | − | 34.3859i | 0.510295 | − | 1.11739i | −0.462689 | − | 0.886521i | \(-0.653115\pi\) |
0.972984 | − | 0.230870i | \(-0.0741574\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.91190 | − | 12.9453i | −0.191908 | − | 0.420221i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −0.674175 | − | 4.68899i | −0.0218616 | − | 0.152051i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 11.9783 | − | 13.8237i | 0.388016 | − | 0.447794i | −0.527814 | − | 0.849360i | \(-0.676988\pi\) |
0.915830 | + | 0.401565i | \(0.131534\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −9.17549 | − | 5.89673i | −0.296912 | − | 0.190814i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 78.2186 | + | 22.9671i | 2.52845 | + | 0.742420i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −4.93699 | − | 5.69759i | −0.159424 | − | 0.183985i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −23.6396 | + | 6.94122i | −0.762569 | + | 0.223910i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 7.48172 | − | 52.0365i | 0.241095 | − | 1.67685i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 6.09929 | 0.196343 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 31.1178 | 1.00068 | 0.500341 | − | 0.865828i | \(-0.333208\pi\) | ||||
0.500341 | + | 0.865828i | \(0.333208\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.40556 | − | 16.7310i | 0.0772776 | − | 0.537478i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −7.51133 | + | 2.20552i | −0.241050 | + | 0.0707787i | −0.400026 | − | 0.916504i | \(-0.630999\pi\) |
0.158976 | + | 0.987282i | \(0.449181\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.27105 | + | 4.92905i | 0.136923 | + | 0.158018i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −11.4316 | − | 3.35663i | −0.366105 | − | 0.107498i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −23.7949 | − | 15.2921i | −0.761267 | − | 0.489237i | 0.101502 | − | 0.994835i | \(-0.467635\pi\) |
−0.862769 | + | 0.505599i | \(0.831272\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −26.4508 | + | 30.5258i | −0.845370 | + | 0.975609i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 11.5700 | + | 80.4714i | 0.369403 | + | 2.56926i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −21.7860 | − | 47.7048i | −0.694867 | − | 1.52155i | −0.846086 | − | 0.533046i | \(-0.821047\pi\) |
0.151219 | − | 0.988500i | \(-0.451680\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.845852 | − | 1.85216i | 0.0269511 | − | 0.0590146i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −29.9612 | + | 19.2549i | −0.953675 | + | 0.612889i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.401759 | + | 1.18475i | 0.0127752 | + | 0.0376730i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 2.16409 | − | 1.39078i | 0.0687447 | − | 0.0441796i | −0.505817 | − | 0.862641i | \(-0.668809\pi\) |
0.574562 | + | 0.818461i | \(0.305173\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −32.3946 | + | 70.9342i | −1.02801 | + | 2.25103i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1.64705 | + | 3.60654i | 0.0522151 | + | 0.114335i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −7.32465 | − | 50.9441i | −0.231974 | − | 1.61342i | −0.689545 | − | 0.724242i | \(-0.742190\pi\) |
0.457571 | − | 0.889173i | \(-0.348719\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −37.3726 | + | 43.1303i | −1.18242 | + | 1.36458i |
(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 | 460.2.m.b.81.5 | ✓ | 50 | |
23.2 | even | 11 | inner | 460.2.m.b.301.5 | yes | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.m.b.81.5 | ✓ | 50 | 1.1 | even | 1 | trivial | |
460.2.m.b.301.5 | yes | 50 | 23.2 | even | 11 | inner |