Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(41,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 33, 53]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.ba (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(440\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 41.18 | ||
Character | \(\chi\) | \(=\) | 804.41 |
Dual form | 804.2.ba.b.353.18 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{53}{66}\right)\) | \(1\) |
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 | ||||||||
\(3\) | 1.44123 | − | 0.960654i | 0.832095 | − | 0.554634i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.412679 | − | 2.87025i | 0.184556 | − | 1.28361i | −0.661267 | − | 0.750150i | \(-0.729981\pi\) |
0.845823 | − | 0.533463i | \(-0.179110\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.273979 | − | 2.86924i | −0.103554 | − | 1.08447i | −0.886610 | − | 0.462518i | \(-0.846946\pi\) |
0.783056 | − | 0.621952i | \(-0.213660\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.15429 | − | 2.76905i | 0.384763 | − | 0.923015i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.55535 | + | 1.82369i | −1.37349 | + | 0.549863i | −0.936837 | − | 0.349767i | \(-0.886261\pi\) |
−0.436654 | + | 0.899629i | \(0.643837\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.25875 | + | 1.32014i | 0.349116 | + | 0.366142i | 0.874755 | − | 0.484566i | \(-0.161022\pi\) |
−0.525639 | + | 0.850708i | \(0.676174\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.16255 | − | 4.53313i | −0.558367 | − | 1.17045i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.49442 | − | 0.517223i | 0.362450 | − | 0.125445i | −0.139773 | − | 0.990184i | \(-0.544637\pi\) |
0.502222 | + | 0.864739i | \(0.332516\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.17757 | + | 0.303421i | 0.728984 | + | 0.0696096i | 0.452947 | − | 0.891537i | \(-0.350373\pi\) |
0.276037 | + | 0.961147i | \(0.410979\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.15121 | − | 3.87203i | −0.687650 | − | 0.844946i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −5.20992 | + | 0.248179i | −1.08634 | + | 0.0517489i | −0.583103 | − | 0.812398i | \(-0.698162\pi\) |
−0.503240 | + | 0.864147i | \(0.667859\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.27055 | − | 0.960320i | −0.654110 | − | 0.192064i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.996499 | − | 5.09970i | −0.191776 | − | 0.981439i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.761179 | − | 0.439467i | 0.141347 | − | 0.0816070i | −0.427659 | − | 0.903940i | \(-0.640661\pi\) |
0.569006 | + | 0.822333i | \(0.307328\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.73430 | + | 2.86765i | −0.491095 | + | 0.515045i | −0.921915 | − | 0.387392i | \(-0.873376\pi\) |
0.430820 | + | 0.902438i | \(0.358224\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.81338 | + | 7.00447i | −0.837902 | + | 1.21932i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −8.34848 | − | 0.397687i | −1.41115 | − | 0.0672214i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.86589 | + | 4.96387i | −0.471150 | + | 0.816055i | −0.999455 | − | 0.0329989i | \(-0.989494\pi\) |
0.528306 | + | 0.849054i | \(0.322828\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.08236 | + | 0.693403i | 0.493572 | + | 0.111033i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.58885 | + | 1.26990i | 1.02900 | + | 0.198324i | 0.675695 | − | 0.737182i | \(-0.263844\pi\) |
0.353310 | + | 0.935506i | \(0.385056\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.45298 | + | 5.59154i | 0.984070 | + | 0.852702i | 0.989094 | − | 0.147286i | \(-0.0470537\pi\) |
−0.00502389 | + | 0.999987i | \(0.501599\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −7.47150 | − | 4.45582i | −1.11378 | − | 0.664235i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.64743 | − | 9.01475i | 0.677897 | − | 1.31494i | −0.259185 | − | 0.965828i | \(-0.583454\pi\) |
0.937082 | − | 0.349109i | \(-0.113516\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.28395 | + | 0.247462i | −0.183422 | + | 0.0353517i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.65693 | − | 2.18106i | 0.232016 | − | 0.305409i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.94001 | − | 5.70108i | −0.678563 | − | 0.783103i | 0.307128 | − | 0.951668i | \(-0.400632\pi\) |
−0.985691 | + | 0.168565i | \(0.946087\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.35454 | + | 13.8276i | 0.452326 | + | 1.86451i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.87109 | − | 2.61524i | 0.645192 | − | 0.346398i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.523482 | + | 1.78282i | 0.0681516 | + | 0.232103i | 0.986525 | − | 0.163613i | \(-0.0523148\pi\) |
−0.918373 | + | 0.395716i | \(0.870497\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.12990 | − | 10.3160i | 0.528780 | − | 1.32083i | −0.388082 | − | 0.921625i | \(-0.626862\pi\) |
0.916862 | − | 0.399204i | \(-0.130713\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −8.26130 | − | 2.55327i | −1.04083 | − | 0.321681i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 4.30860 | − | 3.06814i | 0.534416 | − | 0.380556i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.34986 | − | 7.46850i | 0.409251 | − | 0.912422i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −7.27028 | + | 5.36261i | −0.875239 | + | 0.645583i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.94506 | − | 1.71150i | −0.586871 | − | 0.203118i | 0.0174653 | − | 0.999847i | \(-0.494440\pi\) |
−0.604336 | + | 0.796730i | \(0.706562\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.17224 | + | 2.47099i | 0.722406 | + | 0.289208i | 0.703581 | − | 0.710615i | \(-0.251583\pi\) |
0.0188251 | + | 0.999823i | \(0.494007\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −5.63615 | + | 1.75782i | −0.650806 | + | 0.202976i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.48066 | + | 12.5707i | 0.738540 | + | 1.43257i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 11.3480 | − | 2.75300i | 1.27675 | − | 0.309736i | 0.460617 | − | 0.887599i | \(-0.347628\pi\) |
0.816134 | + | 0.577863i | \(0.196113\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.33524 | − | 6.39256i | −0.703915 | − | 0.710284i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.0980278 | − | 0.124653i | 0.0107600 | − | 0.0136824i | −0.780643 | − | 0.624977i | \(-0.785108\pi\) |
0.791403 | + | 0.611294i | \(0.209351\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.867843 | − | 4.50280i | −0.0941308 | − | 0.488397i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.674859 | − | 1.36460i | 0.0723524 | − | 0.146301i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.62244 | − | 2.52457i | 0.171978 | − | 0.267603i | −0.744556 | − | 0.667560i | \(-0.767339\pi\) |
0.916534 | + | 0.399957i | \(0.130975\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.44293 | − | 3.97335i | 0.360917 | − | 0.416521i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.18594 | + | 6.75966i | −0.122976 | + | 0.700944i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.18221 | − | 8.99519i | 0.223890 | − | 0.922887i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.23550 | + | 3.60007i | 0.633119 | + | 0.365532i | 0.781959 | − | 0.623330i | \(-0.214221\pi\) |
−0.148840 | + | 0.988861i | \(0.547554\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.208315 | + | 14.7191i | −0.0209364 | + | 1.47932i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.85442 | − | 5.41278i | 0.383530 | − | 0.538592i | −0.577009 | − | 0.816738i | \(-0.695780\pi\) |
0.960539 | + | 0.278146i | \(0.0897198\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.53815 | + | 4.32712i | 0.447157 | + | 0.426364i | 0.879904 | − | 0.475152i | \(-0.157607\pi\) |
−0.432746 | + | 0.901516i | \(0.642455\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −12.4141 | + | 7.44684i | −1.21149 | + | 0.726737i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −15.9522 | + | 2.29358i | −1.54215 | + | 0.221728i | −0.860311 | − | 0.509770i | \(-0.829730\pi\) |
−0.681843 | + | 0.731498i | \(0.738821\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.0633795 | + | 0.215851i | −0.00607066 | + | 0.0206748i | −0.962473 | − | 0.271379i | \(-0.912520\pi\) |
0.956402 | + | 0.292054i | \(0.0943386\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.638151 | + | 9.90721i | 0.0605706 | + | 0.940351i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −9.32118 | + | 7.33026i | −0.876863 | + | 0.689572i | −0.951503 | − | 0.307638i | \(-0.900461\pi\) |
0.0746407 | + | 0.997210i | \(0.476219\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.43769 | + | 15.0562i | −0.134065 | + | 1.40400i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 5.10850 | − | 1.96172i | 0.472281 | − | 0.181361i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.89347 | − | 4.14613i | −0.173574 | − | 0.380075i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.46434 | − | 9.02423i | 0.860394 | − | 0.820384i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 10.7160 | − | 4.49939i | 0.966227 | − | 0.405696i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.91698 | − | 4.19760i | 0.171460 | − | 0.375445i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −11.0452 | + | 1.05469i | −0.980103 | + | 0.0935885i | −0.572792 | − | 0.819701i | \(-0.694140\pi\) |
−0.407311 | + | 0.913289i | \(0.633534\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 14.6718 | + | 1.85961i | 1.29178 | + | 0.163730i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.68105 | + | 11.9519i | 0.671096 | + | 1.04425i | 0.995165 | + | 0.0982128i | \(0.0313126\pi\) |
−0.324069 | + | 0.946033i | \(0.605051\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 9.20033i | − | 0.797770i | ||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −15.0486 | + | 0.755657i | −1.29518 | + | 0.0650366i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 11.7097 | − | 7.52537i | 1.00043 | − | 0.642936i | 0.0655291 | − | 0.997851i | \(-0.479126\pi\) |
0.934899 | + | 0.354915i | \(0.115490\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −14.8993 | − | 2.14219i | −1.26374 | − | 0.181698i | −0.522325 | − | 0.852746i | \(-0.674935\pi\) |
−0.741414 | + | 0.671048i | \(0.765844\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.96204 | − | 17.4569i | −0.165234 | − | 1.47014i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −8.14160 | − | 3.71814i | −0.680835 | − | 0.310927i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.947256 | − | 2.36613i | −0.0786653 | − | 0.196496i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.61275 | + | 1.59008i | −0.133017 | + | 0.131148i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 15.7275 | − | 7.18251i | 1.28845 | − | 0.588414i | 0.350946 | − | 0.936396i | \(-0.385860\pi\) |
0.937502 | + | 0.347981i | \(0.113133\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.00929 | − | 14.4734i | −0.407650 | − | 1.17783i | −0.942883 | − | 0.333123i | \(-0.891897\pi\) |
0.535233 | − | 0.844704i | \(-0.320224\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.292775 | − | 4.73514i | 0.0236694 | − | 0.382813i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 7.10248 | + | 9.03154i | 0.570485 | + | 0.725430i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.742429 | + | 15.5855i | 0.0592522 | + | 1.24386i | 0.811253 | + | 0.584695i | \(0.198786\pi\) |
−0.752001 | + | 0.659162i | \(0.770911\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −12.5965 | − | 3.47092i | −0.998964 | − | 0.275262i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.13949 | + | 14.8805i | 0.168616 | + | 1.17275i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.90024 | + | 15.4157i | 0.697121 | + | 1.20745i | 0.969460 | + | 0.245248i | \(0.0788693\pi\) |
−0.272340 | + | 0.962201i | \(0.587797\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 18.1182 | + | 16.7062i | 1.41050 | + | 1.30058i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 8.27884 | + | 5.89534i | 0.640636 | + | 0.456195i | 0.853645 | − | 0.520855i | \(-0.174387\pi\) |
−0.213009 | + | 0.977050i | \(0.568326\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.460248 | − | 9.66180i | 0.0354037 | − | 0.743216i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 4.50802 | − | 8.44860i | 0.344737 | − | 0.646081i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 13.3638 | + | 3.24203i | 1.01603 | + | 0.246487i | 0.708997 | − | 0.705211i | \(-0.249148\pi\) |
0.307036 | + | 0.951698i | \(0.400663\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.85932 | + | 9.64709i | −0.140552 | + | 0.729251i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 2.46713 | + | 2.06656i | 0.185441 | + | 0.155332i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −2.93658 | − | 1.88723i | −0.219490 | − | 0.141058i | 0.426275 | − | 0.904593i | \(-0.359825\pi\) |
−0.645766 | + | 0.763535i | \(0.723462\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.6951 | + | 7.06029i | 1.01795 | + | 0.524787i | 0.884634 | − | 0.466287i | \(-0.154409\pi\) |
0.133312 | + | 0.991074i | \(0.457439\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.95796 | − | 18.8351i | −0.292581 | − | 1.39233i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 13.0648 | + | 10.2743i | 0.960546 | + | 0.755382i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.86435 | + | 5.08149i | −0.428844 | + | 0.371595i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −14.3592 | + | 4.25640i | −1.04448 | + | 0.309608i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −19.9911 | + | 10.3061i | −1.44650 | + | 0.745725i | −0.989608 | − | 0.143795i | \(-0.954070\pi\) |
−0.456897 | + | 0.889520i | \(0.651039\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −18.7628 | + | 5.50926i | −1.35058 | + | 0.396565i | −0.875431 | − | 0.483342i | \(-0.839423\pi\) |
−0.475145 | + | 0.879907i | \(0.657604\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 3.26226 | − | 8.56097i | 0.233616 | − | 0.613064i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −7.60523 | + | 21.9739i | −0.541850 | + | 1.56557i | 0.258482 | + | 0.966016i | \(0.416778\pi\) |
−0.800332 | + | 0.599557i | \(0.795343\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.7674 | + | 16.5251i | 0.834172 | + | 1.17143i | 0.983188 | + | 0.182596i | \(0.0584499\pi\) |
−0.149016 | + | 0.988835i | \(0.547611\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.34671 | − | 13.9819i | −0.165524 | − | 0.986206i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −1.46948 | − | 2.06360i | −0.103137 | − | 0.144836i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.36399 | − | 18.3876i | 0.444481 | − | 1.28424i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −5.32653 | + | 14.7130i | −0.370220 | + | 1.02262i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −15.0283 | + | 4.41271i | −1.03953 | + | 0.305233i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.21754 | − | 3.72090i | 0.496876 | − | 0.256157i | −0.191525 | − | 0.981488i | \(-0.561343\pi\) |
0.688401 | + | 0.725330i | \(0.258313\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −8.77113 | + | 2.28382i | −0.600988 | + | 0.156485i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 18.7121 | − | 16.2141i | 1.27616 | − | 1.10579i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 8.97711 | + | 7.05968i | 0.609406 | + | 0.479242i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 11.2694 | − | 2.36812i | 0.761515 | − | 0.160023i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.56391 | + | 1.32179i | 0.172467 | + | 0.0889132i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −17.6132 | − | 11.3193i | −1.17946 | − | 0.757995i | −0.204176 | − | 0.978934i | \(-0.565452\pi\) |
−0.975288 | + | 0.220939i | \(0.929088\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −6.43433 | + | 7.94782i | −0.428955 | + | 0.529854i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −3.70345 | + | 19.2153i | −0.245806 | + | 1.27536i | 0.623787 | + | 0.781595i | \(0.285593\pi\) |
−0.869593 | + | 0.493769i | \(0.835619\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 25.8908 | + | 6.28104i | 1.71091 | + | 0.415063i | 0.967317 | − | 0.253569i | \(-0.0816044\pi\) |
0.743594 | + | 0.668631i | \(0.233120\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 21.4163 | + | 11.8916i | 1.40909 | + | 0.782413i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.0573869 | − | 1.20470i | 0.00375954 | − | 0.0789225i | −0.996208 | − | 0.0870060i | \(-0.972270\pi\) |
0.999967 | + | 0.00808354i | \(0.00257310\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −23.9567 | − | 17.0595i | −1.56276 | − | 1.11284i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 13.7104 | − | 14.8692i | 0.890587 | − | 0.965859i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.73202 | + | 9.92816i | 0.370774 | + | 0.642199i | 0.989685 | − | 0.143262i | \(-0.0457592\pi\) |
−0.618911 | + | 0.785461i | \(0.712426\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.19075 | + | 29.1473i | 0.269950 | + | 1.87754i | 0.448752 | + | 0.893656i | \(0.351869\pi\) |
−0.178802 | + | 0.983885i | \(0.557222\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.2716 | − | 3.12718i | −0.979671 | − | 0.200609i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.180415 | + | 3.78738i | 0.0115263 | + | 0.241967i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.59922 | + | 4.57678i | 0.229013 | + | 0.291214i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.0215327 | − | 0.273824i | 0.00136458 | − | 0.0173529i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.82263 | + | 25.4913i | 0.556880 | + | 1.60900i | 0.774230 | + | 0.632904i | \(0.218137\pi\) |
−0.217350 | + | 0.976094i | \(0.569741\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 23.2804 | − | 10.6318i | 1.46363 | − | 0.668416i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −5.57639 | − | 5.65587i | −0.349207 | − | 0.354184i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 0.387194 | + | 0.967163i | 0.0241525 | + | 0.0603299i | 0.939954 | − | 0.341301i | \(-0.110868\pi\) |
−0.915802 | + | 0.401631i | \(0.868443\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 15.0277 | + | 6.86293i | 0.933777 | + | 0.426442i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.338284 | − | 2.61501i | −0.0209393 | − | 0.161865i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −16.2766 | − | 2.34022i | −1.00366 | − | 0.144304i | −0.379161 | − | 0.925331i | \(-0.623787\pi\) |
−0.624498 | + | 0.781026i | \(0.714697\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −18.4021 | + | 11.8263i | −1.13043 | + | 0.726486i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.0869244 | − | 5.19708i | −0.00531968 | − | 0.318056i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − | 0.773869i | − | 0.0471836i | −0.999722 | − | 0.0235918i | \(-0.992490\pi\) | ||
0.999722 | − | 0.0235918i | \(-0.00751021\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.5273 | − | 22.6050i | −0.882472 | − | 1.37315i | −0.927364 | − | 0.374161i | \(-0.877931\pi\) |
0.0448918 | − | 0.998992i | \(-0.485706\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.14504 | − | 9.03398i | 0.0693009 | − | 0.546762i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 16.6498 | − | 1.58987i | 1.00402 | − | 0.0958725i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.01847 | + | 4.41983i | −0.121278 | + | 0.265562i | −0.960528 | − | 0.278184i | \(-0.910267\pi\) |
0.839250 | + | 0.543746i | \(0.182995\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 4.78449 | + | 10.8815i | 0.286440 | + | 0.651458i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.48895 | − | 1.41971i | 0.0888232 | − | 0.0846927i | −0.644367 | − | 0.764716i | \(-0.722879\pi\) |
0.733190 | + | 0.680024i | \(0.238031\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.63031 | − | 14.5184i | −0.394131 | − | 0.863027i | −0.997832 | − | 0.0658158i | \(-0.979035\pi\) |
0.603701 | − | 0.797211i | \(-0.293692\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −5.49620 | − | 15.0605i | −0.325567 | − | 0.892107i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1.83843 | − | 19.2529i | 0.108519 | − | 1.13646i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.3971 | + | 8.96281i | −0.670420 | + | 0.527224i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 12.4452 | − | 0.801631i | 0.729551 | − | 0.0469924i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 3.34108 | − | 11.3787i | 0.195188 | − | 0.664749i | −0.802492 | − | 0.596663i | \(-0.796493\pi\) |
0.997679 | − | 0.0680855i | \(-0.0216891\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.33315 | − | 0.766792i | 0.310508 | − | 0.0446443i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 13.8397 | + | 21.4137i | 0.803060 | + | 1.24255i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −6.88564 | − | 6.56544i | −0.398207 | − | 0.379689i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 14.2755 | − | 20.0471i | 0.822824 | − | 1.15549i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.355303 | − | 11.5038i | 0.0204116 | − | 0.660878i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −27.9051 | − | 16.1110i | −1.59784 | − | 0.922516i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.62873 | + | 14.9578i | −0.207102 | + | 0.853688i | 0.769502 | + | 0.638644i | \(0.220505\pi\) |
−0.976604 | + | 0.215044i | \(0.931011\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.6974 | + | 1.87678i | 0.608553 | + | 0.106766i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −9.56540 | + | 11.0391i | −0.542404 | + | 0.625968i | −0.959096 | − | 0.283080i | \(-0.908644\pi\) |
0.416692 | + | 0.909048i | \(0.363189\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.2057 | − | 15.8803i | 0.576858 | − | 0.897609i | −0.423106 | − | 0.906080i | \(-0.639060\pi\) |
0.999964 | + | 0.00847122i | \(0.00269650\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −10.7378 | + | 22.6583i | −0.605005 | + | 1.27665i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.53662 | − | 13.1612i | −0.142471 | − | 0.739208i | −0.980948 | − | 0.194271i | \(-0.937766\pi\) |
0.838477 | − | 0.544937i | \(-0.183446\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.66599 | + | 3.39008i | −0.149267 | + | 0.189808i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −20.7874 | + | 18.6301i | −1.16024 | + | 1.03983i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 4.90555 | − | 1.19007i | 0.272952 | − | 0.0662175i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.84906 | − | 5.52640i | −0.158037 | − | 0.306550i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.116013 | + | 0.371977i | 0.00641556 | + | 0.0205703i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −27.1388 | − | 10.8647i | −1.49621 | − | 0.598991i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.04960 | − | 0.709374i | −0.112656 | − | 0.0389907i | 0.270158 | − | 0.962816i | \(-0.412924\pi\) |
−0.382815 | + | 0.923825i | \(0.625045\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 10.4371 | + | 13.6655i | 0.571951 | + | 0.748866i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −20.0540 | − | 12.6970i | −1.09567 | − | 0.693713i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −18.1955 | + | 12.9570i | −0.991172 | + | 0.705810i | −0.955938 | − | 0.293569i | \(-0.905157\pi\) |
−0.0352341 | + | 0.999379i | \(0.511218\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −6.39213 | + | 19.5190i | −0.347173 | + | 1.06013i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 7.22600 | − | 18.0497i | 0.391310 | − | 0.977445i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.62244 | − | 15.7426i | −0.249588 | − | 0.850019i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 12.3917 | + | 23.0805i | 0.667148 | + | 1.24261i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 2.68001 | + | 11.0472i | 0.143870 | + | 0.593042i | 0.997404 | + | 0.0720047i | \(0.0229397\pi\) |
−0.853534 | + | 0.521037i | \(0.825545\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.47039 | − | 9.77535i | −0.453409 | − | 0.523262i | 0.482313 | − | 0.875999i | \(-0.339797\pi\) |
−0.935723 | + | 0.352736i | \(0.885251\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.47799 | − | 7.73480i | 0.292394 | − | 0.412853i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −6.92313 | + | 1.33432i | −0.368481 | + | 0.0710189i | −0.370130 | − | 0.928980i | \(-0.620687\pi\) |
0.00164965 | + | 0.999999i | \(0.499475\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.95316 | + | 13.4872i | −0.369035 | + | 0.715829i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −6.71193 | − | 4.15655i | −0.355233 | − | 0.219988i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 8.77136 | + | 7.60043i | 0.462935 | + | 0.401135i | 0.854857 | − | 0.518863i | \(-0.173644\pi\) |
−0.391923 | + | 0.919998i | \(0.628190\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.65176 | − | 1.66749i | −0.455356 | − | 0.0877627i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 4.97113 | − | 22.0979i | 0.260917 | − | 1.15984i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 9.63951 | − | 16.6961i | 0.504555 | − | 0.873915i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.33054 | − | 0.253925i | −0.278252 | − | 0.0132548i | −0.0920077 | − | 0.995758i | \(-0.529328\pi\) |
−0.186244 | + | 0.982504i | \(0.559631\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 11.1218 | − | 16.7790i | 0.578979 | − | 0.873479i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −15.0043 | + | 15.7360i | −0.778984 | + | 0.816975i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −21.4669 | + | 12.3939i | −1.11151 | + | 0.641733i | −0.939221 | − | 0.343313i | \(-0.888451\pi\) |
−0.172293 | + | 0.985046i | \(0.555117\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.26963 | − | 7.89127i | −0.0655635 | − | 0.407503i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1.53830 | + | 0.451685i | 0.0792263 | + | 0.0232629i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.240410 | − | 0.0114521i | 0.0123490 | − | 0.000588257i | −0.0414065 | − | 0.999142i | \(-0.513184\pi\) |
0.0537555 | + | 0.998554i | \(0.482881\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −14.9055 | + | 12.1307i | −0.763631 | + | 0.621473i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 13.7852 | + | 1.31633i | 0.704392 | + | 0.0672613i | 0.441104 | − | 0.897456i | \(-0.354587\pi\) |
0.263288 | + | 0.964717i | \(0.415193\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 38.7556 | − | 13.4134i | 1.97517 | − | 0.683612i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 22.9318 | − | 11.4143i | 1.16569 | − | 0.580224i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.683887 | + | 0.717241i | 0.0346745 | + | 0.0363655i | 0.740843 | − | 0.671678i | \(-0.234426\pi\) |
−0.706168 | + | 0.708044i | \(0.749578\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.65743 | + | 3.06557i | −0.387253 | + | 0.155033i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 22.5518 | + | 9.84667i | 1.13759 | + | 0.496699i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −3.21869 | − | 33.7077i | −0.161950 | − | 1.69602i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.0894249 | + | 0.621964i | −0.00448810 | + | 0.0312155i | −0.991942 | − | 0.126689i | \(-0.959565\pi\) |
0.987454 | + | 0.157905i | \(0.0504739\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −8.83833 | − | 13.2598i | −0.442470 | − | 0.663820i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 17.7271 | 0.885249 | 0.442624 | − | 0.896707i | \(-0.354048\pi\) | ||||
0.442624 | + | 0.896707i | \(0.354048\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.22752 | −0.360029 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −20.9626 | + | 15.5456i | −1.04164 | + | 0.772468i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 4.00260 | − | 27.8387i | 0.198401 | − | 1.37991i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.27676 | − | 13.3708i | −0.0631315 | − | 0.661143i | −0.970548 | − | 0.240910i | \(-0.922554\pi\) |
0.907416 | − | 0.420234i | \(-0.138052\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 9.64711 | − | 22.0948i | 0.475857 | − | 1.08985i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 4.97190 | − | 1.99045i | 0.244651 | − | 0.0979436i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.317329 | − | 0.332806i | −0.0155771 | − | 0.0163368i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −23.5312 | + | 11.2256i | −1.15233 | + | 0.549722i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6.59427 | + | 2.28230i | −0.322151 | + | 0.111498i | −0.483357 | − | 0.875423i | \(-0.660583\pi\) |
0.161206 | + | 0.986921i | \(0.448462\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 25.9279 | + | 2.47581i | 1.26365 | + | 0.120664i | 0.705279 | − | 0.708930i | \(-0.250822\pi\) |
0.558368 | + | 0.829593i | \(0.311428\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −19.5978 | − | 23.2746i | −0.952877 | − | 1.13165i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −5.38427 | + | 0.256484i | −0.261175 | + | 0.0124413i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −30.7306 | − | 9.02330i | −1.48716 | − | 0.436668i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −15.3058 | + | 2.46256i | −0.738970 | + | 0.118893i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 24.2306 | − | 13.9896i | 1.16715 | − | 0.673853i | 0.214141 | − | 0.976803i | \(-0.431305\pi\) |
0.953007 | + | 0.302950i | \(0.0979714\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 16.5700 | − | 17.3781i | 0.796301 | − | 0.835137i | −0.192974 | − | 0.981204i | \(-0.561813\pi\) |
0.989275 | + | 0.146067i | \(0.0466617\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −3.63825 | − | 2.50015i | −0.174441 | − | 0.119873i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −16.6302 | − | 0.792193i | −0.795530 | − | 0.0378957i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.66863 | − | 11.5504i | 0.318276 | − | 0.551270i | −0.661852 | − | 0.749634i | \(-0.730229\pi\) |
0.980128 | + | 0.198364i | \(0.0635627\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.796819 | + | 3.84097i | −0.0379438 | + | 0.182903i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 28.3444 | + | 5.46294i | 1.34668 | + | 0.259552i | 0.811089 | − | 0.584923i | \(-0.198875\pi\) |
0.535595 | + | 0.844475i | \(0.320088\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.57658 | − | 5.69864i | −0.311760 | − | 0.270141i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 15.7671 | − | 25.4603i | 0.745756 | − | 1.20423i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 1.16700 | − | 2.26366i | 0.0550741 | − | 0.106829i | −0.859692 | − | 0.510813i | \(-0.829345\pi\) |
0.914766 | + | 0.403984i | \(0.132375\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −32.3304 | + | 6.23118i | −1.52238 | + | 0.293415i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −21.1235 | − | 16.0473i | −0.992466 | − | 0.753968i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −9.98368 | − | 11.5218i | −0.468042 | − | 0.540150i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.37612 | − | 34.5268i | −0.391818 | − | 1.61510i | −0.736541 | − | 0.676393i | \(-0.763542\pi\) |
0.344723 | − | 0.938705i | \(-0.387973\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −4.12687 | − | 7.10568i | −0.192626 | − | 0.331665i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.46906 | + | 5.00315i | 0.0684208 | + | 0.233020i | 0.986603 | − | 0.163138i | \(-0.0521615\pi\) |
−0.918182 | + | 0.396158i | \(0.870343\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.5553 | − | 33.8596i | 0.629970 | − | 1.57359i | −0.177785 | − | 0.984069i | \(-0.556893\pi\) |
0.807754 | − | 0.589519i | \(-0.200683\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 18.9125 | + | 6.19350i | 0.877046 | + | 0.287217i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −30.8962 | + | 22.0011i | −1.42971 | + | 1.01809i | −0.436754 | + | 0.899581i | \(0.643872\pi\) |
−0.992953 | + | 0.118509i | \(0.962189\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −22.3467 | − | 7.56534i | −1.03187 | − | 0.349335i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 16.0423 | + | 21.7491i | 0.739189 | + | 1.00214i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −39.5928 | − | 13.7032i | −1.82048 | − | 0.630074i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.1010 | − | 4.04384i | −0.463466 | − | 0.185544i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −21.4888 | + | 7.09844i | −0.983902 | + | 0.325015i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −15.8205 | − | 30.6876i | −0.722859 | − | 1.40215i | −0.907801 | − | 0.419402i | \(-0.862240\pi\) |
0.184941 | − | 0.982750i | \(-0.440790\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −10.1605 | + | 2.46490i | −0.463278 | + | 0.112390i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 17.3785 | + | 19.3909i | 0.790749 | + | 0.882317i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 12.9063 | − | 16.4118i | 0.586047 | − | 0.745219i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.59904 | + | 39.4276i | 0.344346 | + | 1.78663i | 0.579810 | + | 0.814752i | \(0.303127\pi\) |
−0.235465 | + | 0.971883i | \(0.575661\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 27.6364 | + | 13.6675i | 1.24976 | + | 0.618065i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −11.4876 | + | 17.8750i | −0.518427 | + | 0.806688i | −0.997469 | − | 0.0711041i | \(-0.977348\pi\) |
0.479042 | + | 0.877792i | \(0.340984\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.910217 | − | 1.05045i | 0.0409941 | − | 0.0473097i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 42.1613 | + | 6.67216i | 1.89501 | + | 0.299891i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.55586 | + | 14.6575i | −0.159502 | + | 0.657477i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 27.2460 | + | 15.7305i | 1.21970 | + | 0.704194i | 0.964854 | − | 0.262788i | \(-0.0846419\pi\) |
0.254846 | + | 0.966982i | \(0.417975\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 17.5951 | + | 0.543436i | 0.786091 | + | 0.0242789i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 24.3950 | − | 34.2579i | 1.08772 | − | 1.52749i | 0.260609 | − | 0.965444i | \(-0.416077\pi\) |
0.827109 | − | 0.562042i | \(-0.189984\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −13.9454 | − | 13.2969i | −0.620561 | − | 0.591704i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −8.61832 | − | 14.3670i | −0.382753 | − | 0.638062i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −22.8411 | + | 3.28406i | −1.01242 | + | 0.145563i | −0.628504 | − | 0.777806i | \(-0.716332\pi\) |
−0.383912 | + | 0.923370i | \(0.625423\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.39880 | − | 18.3866i | 0.238829 | − | 0.813376i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.61909 | − | 16.5070i | −0.0714845 | − | 0.728803i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 14.2927 | − | 11.2399i | 0.629811 | − | 0.495289i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.73058 | + | 49.5409i | −0.208051 | + | 2.17880i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 22.3748 | − | 8.16550i | 0.982146 | − | 0.358426i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 10.1543 | + | 22.2347i | 0.444866 | + | 0.974121i | 0.990679 | + | 0.136214i | \(0.0434934\pi\) |
−0.545813 | + | 0.837907i | \(0.683779\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −19.2841 | + | 18.3873i | −0.843234 | + | 0.804022i | −0.982506 | − | 0.186232i | \(-0.940372\pi\) |
0.139272 | + | 0.990254i | \(0.455524\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 6.58780 | + | 15.6898i | 0.287515 | + | 0.684761i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −2.60297 | + | 5.69971i | −0.113387 | + | 0.248283i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.18581 | − | 0.399697i | 0.181992 | − | 0.0173781i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 5.54095 | + | 0.608338i | 0.240457 | + | 0.0263996i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6.61729 | + | 10.2967i | 0.286627 | + | 0.446000i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 46.7332i | 2.02045i | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −6.04526 | + | 0.101111i | −0.260872 | + | 0.00436325i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5.39757 | − | 3.46881i | 0.232490 | − | 0.149412i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.4964 | − | 2.08427i | −0.623249 | − | 0.0896097i | −0.176547 | − | 0.984292i | \(-0.556493\pi\) |
−0.446702 | + | 0.894683i | \(0.647402\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 26.5202 | − | 2.98070i | 1.13809 | − | 0.127914i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.593390 | + | 0.270992i | 0.0254180 | + | 0.0116080i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.2130 | − | 33.0045i | −0.564948 | − | 1.41117i | −0.885811 | − | 0.464046i | \(-0.846397\pi\) |
0.320863 | − | 0.947126i | \(-0.396027\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −23.7984 | − | 23.3435i | −1.01569 | − | 0.996278i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.55204 | − | 1.16548i | 0.108721 | − | 0.0496511i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −11.0081 | − | 31.8058i | −0.468112 | − | 1.35252i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 28.6995 | + | 2.25685i | 1.21823 | + | 0.0957979i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 6.36471 | + | 8.09338i | 0.269681 | + | 0.342928i | 0.901965 | − | 0.431809i | \(-0.142125\pi\) |
−0.632284 | + | 0.774737i | \(0.717882\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.741082 | + | 15.5572i | 0.0313444 | + | 0.658001i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.57033 | + | 12.9572i | −0.150739 | + | 0.547053i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −1.76420 | − | 12.2703i | −0.0743520 | − | 0.517130i | −0.992629 | − | 0.121191i | \(-0.961329\pi\) |
0.918277 | − | 0.395938i | \(-0.129581\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 17.1930 | + | 29.7791i | 0.723314 | + | 1.25282i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −16.6060 | + | 19.9287i | −0.697388 | + | 0.836927i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 14.4597 | + | 10.2967i | 0.606180 | + | 0.431659i | 0.841499 | − | 0.540259i | \(-0.181674\pi\) |
−0.235318 | + | 0.971918i | \(0.575613\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.852971 | + | 17.9061i | −0.0356957 | + | 0.749345i | 0.908088 | + | 0.418780i | \(0.137542\pi\) |
−0.943783 | + | 0.330565i | \(0.892761\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −18.9111 | + | 34.0580i | −0.790025 | + | 1.42279i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 17.2776 | + | 4.19151i | 0.720527 | + | 0.174798i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.51436 | − | 23.4227i | 0.187935 | − | 0.975100i | −0.758370 | − | 0.651825i | \(-0.774004\pi\) |
0.946305 | − | 0.323276i | \(-0.104784\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −21.7490 | + | 25.9647i | −0.903859 | + | 1.07906i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.384515 | − | 0.247113i | −0.0159524 | − | 0.0102520i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 32.9005 | + | 16.9614i | 1.36260 | + | 0.702469i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −3.52245 | − | 15.4722i | −0.145636 | − | 0.639698i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 21.0887 | + | 16.5843i | 0.870423 | + | 0.684508i | 0.949976 | − | 0.312323i | \(-0.101107\pi\) |
−0.0795534 | + | 0.996831i | \(0.525349\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −9.55853 | + | 8.28252i | −0.393853 | + | 0.341275i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 10.1484 | + | 38.9754i | 0.417449 | + | 1.60323i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −10.4172 | + | 5.37044i | −0.427783 | + | 0.220538i | −0.658653 | − | 0.752447i | \(-0.728873\pi\) |
0.230869 | + | 0.972985i | \(0.425843\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −12.6818 | + | 3.72372i | −0.519904 | + | 0.152658i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 32.8345 | + | 12.5120i | 1.34382 | + | 0.512081i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 7.04181 | − | 20.3460i | 0.287721 | − | 0.831315i | −0.704818 | − | 0.709388i | \(-0.748972\pi\) |
0.992539 | − | 0.121927i | \(-0.0389073\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.3803 | − | 20.1943i | −0.586584 | − | 0.823743i | 0.409485 | − | 0.912317i | \(-0.365708\pi\) |
−0.996070 | + | 0.0885743i | \(0.971769\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −16.8139 | − | 17.8967i | −0.684715 | − | 0.728811i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −21.9960 | − | 30.8891i | −0.894266 | − | 1.25582i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11.2024 | + | 32.3671i | −0.454690 | + | 1.31374i | 0.452027 | + | 0.892004i | \(0.350701\pi\) |
−0.906718 | + | 0.421738i | \(0.861420\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −4.10026 | − | 1.56246i | −0.166151 | − | 0.0633139i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 17.7507 | − | 5.21209i | 0.718118 | − | 0.210858i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −23.0170 | + | 11.8661i | −0.929647 | + | 0.479266i | −0.855397 | − | 0.517973i | \(-0.826687\pi\) |
−0.0742502 | + | 0.997240i | \(0.523656\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −8.49209 | − | 32.6143i | −0.342434 | − | 1.31514i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −11.7828 | + | 10.2099i | −0.474358 | + | 0.411034i | −0.858955 | − | 0.512051i | \(-0.828886\pi\) |
0.384597 | + | 0.923085i | \(0.374341\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 13.0161 | + | 10.2360i | 0.523160 | + | 0.411418i | 0.844508 | − | 0.535544i | \(-0.179893\pi\) |
−0.321347 | + | 0.946961i | \(0.604136\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.45732 | + | 26.3217i | 0.259123 | + | 1.05626i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −7.68809 | − | 3.96348i | −0.308017 | − | 0.158794i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −25.5946 | − | 16.4487i | −1.02379 | − | 0.657947i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −17.4202 | + | 20.7967i | −0.695694 | + | 0.830541i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.71541 | + | 8.90040i | −0.0683980 | + | 0.354882i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −12.6793 | − | 3.07597i | −0.504756 | − | 0.122452i | −0.0247079 | − | 0.999695i | \(-0.507866\pi\) |
−0.480048 | + | 0.877242i | \(0.659381\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 6.82764 | − | 12.2962i | 0.271374 | − | 0.488731i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.53091 | + | 32.1377i | −0.0607522 | + | 1.27535i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.94287 | − | 1.38351i | −0.0769791 | − | 0.0548166i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −10.4473 | + | 11.7175i | −0.413287 | + | 0.463538i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −18.7729 | − | 32.5157i | −0.741487 | − | 1.28429i | −0.951818 | − | 0.306663i | \(-0.900788\pi\) |
0.210332 | − | 0.977630i | \(-0.432546\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.929880 | − | 6.46746i | −0.0366709 | − | 0.255052i | 0.963237 | − | 0.268655i | \(-0.0865790\pi\) |
−0.999907 | + | 0.0136029i | \(0.995670\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 11.3923 | − | 41.3442i | 0.448571 | − | 1.62792i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 1.31497 | + | 27.6046i | 0.0516969 | + | 1.08525i | 0.864475 | + | 0.502677i | \(0.167651\pi\) |
−0.812778 | + | 0.582574i | \(0.802046\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −5.63595 | − | 7.16669i | −0.221230 | − | 0.281317i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 19.7200 | + | 1.55072i | 0.772887 | + | 0.0607777i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0.0497588 | + | 0.143769i | 0.00194721 | + | 0.00562611i | 0.945970 | − | 0.324253i | \(-0.105113\pi\) |
−0.944023 | + | 0.329880i | \(0.892992\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 37.4748 | − | 17.1142i | 1.46426 | − | 0.668707i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 13.9668 | − | 14.2390i | 0.544898 | − | 0.555516i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 14.5115 | + | 36.2480i | 0.565289 | + | 1.41202i | 0.885483 | + | 0.464671i | \(0.153827\pi\) |
−0.320195 | + | 0.947352i | \(0.603748\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −28.9799 | − | 13.2347i | −1.12719 | − | 0.514769i | −0.237521 | − | 0.971382i | \(-0.576335\pi\) |
−0.889665 | + | 0.456613i | \(0.849062\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 4.96497 | − | 0.558031i | 0.192823 | − | 0.0216721i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −26.4072 | − | 3.79678i | −1.02403 | − | 0.147233i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.85662 | + | 2.47850i | −0.149329 | + | 0.0959678i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −36.2585 | + | 0.606446i | −1.40184 | + | 0.0234466i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 54.5247i | 2.10490i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 11.2718 | + | 17.5392i | 0.434495 | + | 0.676087i | 0.987594 | − | 0.157028i | \(-0.0501914\pi\) |
−0.553099 | + | 0.833115i | \(0.686555\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.63825 | + | 17.6358i | −0.0630562 | + | 0.678802i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 7.29459 | − | 0.696549i | 0.280354 | − | 0.0267706i | 0.0460681 | − | 0.998938i | \(-0.485331\pi\) |
0.234286 | + | 0.972168i | \(0.424725\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 8.62105 | − | 18.8775i | 0.330846 | − | 0.724451i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.1217 | + | 31.2514i | 0.502826 | + | 1.19756i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 19.8958 | − | 18.9706i | 0.761292 | − | 0.725891i | −0.206278 | − | 0.978493i | \(-0.566135\pi\) |
0.967570 | + | 0.252603i | \(0.0812866\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −16.7673 | − | 36.7153i | −0.640646 | − | 1.40282i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 43.3485 | − | 15.8197i | 1.65385 | − | 0.603558i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.30798 | − | 13.6978i | 0.0498301 | − | 0.521844i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.01612 | − | 3.94472i | 0.190822 | − | 0.150064i | −0.518177 | − | 0.855273i | \(-0.673389\pi\) |
0.708999 | + | 0.705209i | \(0.249147\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 42.2895 | − | 3.43500i | 1.60645 | − | 0.130485i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −12.2972 | + | 41.8805i | −0.466461 | + | 1.58862i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 10.5033 | − | 1.51015i | 0.397841 | − | 0.0572009i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −1.07459 | − | 1.79138i | −0.0406448 | − | 0.0677561i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.2133 | + | 9.73839i | 0.385752 | + | 0.367814i | 0.857998 | − | 0.513653i | \(-0.171708\pi\) |
−0.472246 | + | 0.881467i | \(0.656557\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.6127 | + | 14.9035i | −0.400266 | + | 0.562095i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −50.9153 | − | 1.57255i | −1.91758 | − | 0.0592258i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −16.5866 | − | 9.57627i | −0.623803 | − | 0.360153i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −7.75370 | + | 31.9612i | −0.291196 | + | 1.20033i | 0.618745 | + | 0.785592i | \(0.287641\pi\) |
−0.909942 | + | 0.414736i | \(0.863874\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 5.47570 | − | 34.6009i | 0.205355 | − | 1.29764i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 13.5338 | − | 15.6188i | 0.506844 | − | 0.584930i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −14.0319 | + | 21.8340i | −0.524762 | + | 0.816546i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 17.7987 | + | 8.80227i | 0.664704 | + | 0.328727i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 2.79908 | + | 14.5230i | 0.104388 | + | 0.541617i | 0.996041 | + | 0.0888971i | \(0.0283342\pi\) |
−0.891653 | + | 0.452720i | \(0.850454\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 11.1722 | − | 14.2066i | 0.416073 | − | 0.529080i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 34.0403 | + | 37.9821i | 1.26597 | + | 1.41257i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.91150 | + | 0.706323i | −0.108130 | + | 0.0262322i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −6.31770 | − | 12.2546i | −0.234310 | − | 0.454499i | 0.742139 | − | 0.670246i | \(-0.233812\pi\) |
−0.976449 | + | 0.215747i | \(0.930781\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −25.0140 | + | 10.1637i | −0.926444 | + | 0.376434i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 12.5355 | + | 5.01847i | 0.463643 | + | 0.185615i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.69450 | − | 1.62478i | −0.173395 | − | 0.0600127i | 0.238991 | − | 0.971022i | \(-0.423183\pi\) |
−0.412386 | + | 0.911009i | \(0.635305\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 3.89838 | + | 5.28517i | 0.143794 | + | 0.194947i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.63960 | + | 40.1307i | −0.0603955 | + | 1.47824i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 7.24093 | − | 5.15624i | 0.266362 | − | 0.189675i | −0.439071 | − | 0.898453i | \(-0.644692\pi\) |
0.705432 | + | 0.708777i | \(0.250753\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 9.58400 | + | 3.13859i | 0.352077 | + | 0.115299i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.1770 | − | 35.4125i | 0.520104 | − | 1.29916i | −0.403209 | − | 0.915108i | \(-0.632105\pi\) |
0.923313 | − | 0.384049i | \(-0.125471\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −14.1252 | − | 48.1059i | −0.517506 | − | 1.76246i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −0.232016 | − | 0.415329i | −0.00848903 | − | 0.0151961i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 10.9514 | + | 45.1421i | 0.400154 | + | 1.64946i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 8.03102 | + | 9.26829i | 0.293056 | + | 0.338205i | 0.883116 | − | 0.469155i | \(-0.155441\pi\) |
−0.590060 | + | 0.807359i | \(0.700896\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 37.2038 | + | 28.2634i | 1.35578 | + | 1.02997i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −43.6094 | + | 8.40503i | −1.58711 | + | 0.305890i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.74952 | − | 7.27305i | 0.136279 | − | 0.264343i | −0.810814 | − | 0.585304i | \(-0.800975\pi\) |
0.947093 | + | 0.320960i | \(0.104006\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 23.3390 | − | 37.6873i | 0.847151 | − | 1.36796i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −19.6756 | − | 17.0490i | −0.713240 | − | 0.618026i | 0.220748 | − | 0.975331i | \(-0.429150\pi\) |
−0.933988 | + | 0.357305i | \(0.883696\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.636692 | + | 0.122712i | 0.0230498 | + | 0.00444248i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −13.4702 | − | 2.79443i | −0.487016 | − | 0.101033i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.69464 | + | 2.93520i | −0.0611898 | + | 0.105984i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −14.9664 | − | 0.712936i | −0.539701 | − | 0.0257091i | −0.224038 | − | 0.974580i | \(-0.571924\pi\) |
−0.315663 | + | 0.948871i | \(0.602227\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.48714 | + | 1.02195i | 0.0535582 | + | 0.0368045i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −14.5862 | + | 15.2976i | −0.524630 | + | 0.550216i | −0.931723 | − | 0.363171i | \(-0.881694\pi\) |
0.407092 | + | 0.913387i | \(0.366543\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 11.6965 | − | 6.75299i | 0.420152 | − | 0.242575i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 28.2513 | − | 4.54537i | 1.01351 | − | 0.163064i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 20.5512 | + | 6.03438i | 0.736323 | + | 0.216204i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 25.6477 | − | 1.22175i | 0.917749 | − | 0.0437178i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.99967 | − | 3.44386i | −0.107199 | − | 0.123074i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 45.0406 | + | 4.30086i | 1.60757 | + | 0.153504i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 28.6471 | − | 9.91487i | 1.02116 | − | 0.353427i | 0.235361 | − | 0.971908i | \(-0.424373\pi\) |
0.785800 | + | 0.618481i | \(0.212252\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −25.7065 | + | 12.2634i | −0.915176 | + | 0.436588i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 23.5860 | + | 24.7363i | 0.838623 | + | 0.879523i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.8171 | − | 7.53324i | 0.668216 | − | 0.267513i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −15.1607 | + | 34.7226i | −0.537695 | + | 1.23148i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 0.489388 | + | 5.12511i | 0.0173350 | + | 0.181541i | 0.999992 | − | 0.00388978i | \(-0.00123816\pi\) |
−0.982657 | + | 0.185430i | \(0.940632\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.28256 | − | 15.8756i | 0.0807512 | − | 0.561637i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −5.11787 | − | 7.40669i | −0.180831 | − | 0.261702i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −32.6231 | −1.15124 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 43.5936 | 1.53647 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.743421 | − | 1.11532i | −0.0261696 | − | 0.0392613i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −6.77273 | + | 47.1054i | −0.238116 | + | 1.65614i | 0.423205 | + | 0.906034i | \(0.360905\pi\) |
−0.661322 | + | 0.750102i | \(0.730004\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −5.29996 | − | 55.5037i | −0.186107 | − | 1.94900i | −0.296314 | − | 0.955091i | \(-0.595757\pi\) |
0.110207 | − | 0.993909i | \(-0.464849\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −42.6527 | − | 18.6232i | −1.49590 | − | 0.653145i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 47.9197 | − | 19.1842i | 1.67856 | − | 0.671992i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 18.8082 | + | 19.7255i | 0.658016 | + | 0.690107i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −7.02827 | − | 14.1200i | −0.245588 | − | 0.493394i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −24.9574 | + | 8.63785i | −0.871021 | + | 0.301463i | −0.725775 | − | 0.687932i | \(-0.758519\pi\) |
−0.145246 | + | 0.989396i | \(0.546397\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −51.3598 | − | 4.90427i | −1.79029 | − | 0.170952i | −0.853558 | − | 0.520998i | \(-0.825560\pi\) |
−0.936732 | + | 0.350046i | \(0.886166\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 22.4689 | − | 18.2861i | 0.782268 | − | 0.636640i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 10.2403 | − | 0.487808i | 0.356092 | − | 0.0169627i | 0.131226 | − | 0.991353i | \(-0.458109\pi\) |
0.224866 | + | 0.974390i | \(0.427806\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 21.5744 | + | 6.33483i | 0.749311 | + | 0.220018i | 0.634023 | − | 0.773314i | \(-0.281403\pi\) |
0.115288 | + | 0.993332i | \(0.463221\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 1.33685 | + | 8.30905i | 0.0463748 | + | 0.288238i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.79077 | + | 1.03390i | −0.0620465 | + | 0.0358225i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 20.3376 | − | 21.3294i | 0.703811 | − | 0.738136i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 17.3489 | + | 11.0865i | 0.599666 | + | 0.383206i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 53.4161 | + | 2.54452i | 1.84413 | + | 0.0878467i | 0.940362 | − | 0.340177i | \(-0.110487\pi\) |
0.903768 | + | 0.428023i | \(0.140790\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −14.1137 | + | 24.4457i | −0.486681 | + | 0.842956i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.782068 | − | 3.47649i | 0.0269358 | − | 0.119737i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −27.5418 | − | 5.30825i | −0.947468 | − | 0.182609i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −28.4857 | − | 24.6830i | −0.978779 | − | 0.848117i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −23.5029 | − | 14.5549i | −0.806618 | − | 0.499522i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 13.6991 | − | 26.5726i | 0.469600 | − | 0.910898i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.05824 | + | 0.589427i | −0.104712 | + | 0.0201816i | −0.241338 | − | 0.970441i | \(-0.577586\pi\) |
0.136626 | + | 0.990623i | \(0.456374\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −22.3892 | − | 16.4257i | −0.765695 | − | 0.561747i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 24.6999 | + | 28.5052i | 0.843732 | + | 0.973718i | 0.999902 | − | 0.0140119i | \(-0.00446026\pi\) |
−0.156170 | + | 0.987730i | \(0.549915\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −2.42294 | − | 9.98747i | −0.0826695 | − | 0.340768i | 0.915424 | − | 0.402491i | \(-0.131856\pi\) |
−0.998093 | + | 0.0617230i | \(0.980340\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −15.8458 | − | 29.5139i | −0.540022 | − | 1.00583i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 0.902901 | + | 3.07500i | 0.0307351 | + | 0.104674i | 0.973432 | − | 0.228976i | \(-0.0735377\pi\) |
−0.942697 | + | 0.333650i | \(0.891720\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 14.8204 | − | 37.0196i | 0.503909 | − | 1.25870i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −7.81574 | + | 23.8662i | −0.265437 | + | 0.810538i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −46.6736 | + | 33.2361i | −1.58329 | + | 1.12746i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 14.0761 | − | 4.97870i | 0.476952 | − | 0.168697i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 17.1663 | − | 13.1109i | 0.580992 | − | 0.443736i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −12.5691 | − | 4.35022i | −0.424914 | − | 0.147064i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 9.62173 | + | 3.85196i | 0.324903 | + | 0.130071i | 0.528379 | − | 0.849008i | \(-0.322800\pi\) |
−0.203477 | + | 0.979080i | \(0.565224\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −6.11570 | − | 19.6089i | −0.206277 | − | 0.661392i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 22.3744 | + | 43.4003i | 0.753813 | + | 1.46219i | 0.882402 | + | 0.470496i | \(0.155925\pi\) |
−0.128589 | + | 0.991698i | \(0.541045\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −34.8833 | + | 8.46259i | −1.17392 | + | 0.284789i | −0.774857 | − | 0.632137i | \(-0.782178\pi\) |
−0.399058 | + | 0.916926i | \(0.630663\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 6.94968 | − | 6.22844i | 0.233611 | − | 0.209367i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 28.5878 | − | 36.3524i | 0.959885 | − | 1.22059i | −0.0154536 | − | 0.999881i | \(-0.504919\pi\) |
0.975339 | − | 0.220713i | \(-0.0708383\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.05230 | + | 31.4023i | 0.202988 | + | 1.05320i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 40.5173 | + | 17.5669i | 1.35738 | + | 0.588512i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 17.5028 | − | 27.2349i | 0.585709 | − | 0.911380i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.62867 | + | 7.64990i | −0.221572 | + | 0.255708i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −16.2309 | − | 2.84760i | −0.541934 | − | 0.0950786i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.821054 | + | 3.38443i | −0.0273837 | + | 0.112877i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −10.3312 | − | 5.96471i | −0.344181 | − | 0.198713i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1.31592 | − | 42.6062i | 0.0437911 | − | 1.41785i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 25.9164 | − | 36.3946i | 0.861492 | − | 1.20980i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 29.9758 | + | 28.5819i | 0.995331 | + | 0.949046i | 0.998701 | − | 0.0509482i | \(-0.0162243\pi\) |
−0.00337035 | + | 0.999994i | \(0.501073\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −10.5391 | − | 16.9210i | −0.349561 | − | 0.561234i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −26.4171 | + | 3.79821i | −0.875239 | + | 0.125840i | −0.565270 | − | 0.824906i | \(-0.691228\pi\) |
−0.309969 | + | 0.950747i | \(0.600319\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.219224 | + | 0.746609i | −0.00725526 | + | 0.0247091i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −55.6949 | + | 3.58746i | −1.84122 | + | 0.118598i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 32.1885 | − | 25.3133i | 1.06296 | − | 0.835920i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −3.20676 | + | 33.5827i | −0.105781 | + | 1.10779i | 0.774251 | + | 0.632879i | \(0.218127\pi\) |
−0.880032 | + | 0.474914i | \(0.842479\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 9.13946 | + | 25.0436i | 0.301155 | + | 0.825215i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −3.96519 | − | 8.68255i | −0.130516 | − | 0.285790i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.1399 | − | 13.4824i | 0.464919 | − | 0.443299i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 17.2203 | − | 7.57161i | 0.565590 | − | 0.248684i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 15.3850 | − | 33.6885i | 0.504766 | − | 1.10528i | −0.470124 | − | 0.882600i | \(-0.655791\pi\) |
0.974891 | − | 0.222684i | \(-0.0714818\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.15493 | + | 0.396748i | −0.136172 | + | 0.0130029i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −3.18123 | + | 25.0989i | −0.104149 | + | 0.821700i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 12.1650 | + | 18.9292i | 0.397839 | + | 0.619050i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 21.7270i | − | 0.709791i | −0.934906 | − | 0.354895i | \(-0.884516\pi\) | ||
0.934906 | − | 0.354895i | \(-0.115484\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.546782 | − | 32.6913i | −0.0178436 | − | 1.06684i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −26.6308 | + | 17.1146i | −0.868140 | + | 0.557919i | −0.897183 | − | 0.441659i | \(-0.854390\pi\) |
0.0290436 | + | 0.999578i | \(0.490754\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −34.6425 | − | 4.98084i | −1.12812 | − | 0.162199i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 6.29117 | + | 42.9711i | 0.204652 | + | 1.39785i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 12.7776 | + | 5.83533i | 0.415216 | + | 0.189623i | 0.612059 | − | 0.790812i | \(-0.290342\pi\) |
−0.196843 | + | 0.980435i | \(0.563069\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.50727 | + | 11.2586i | 0.146312 | + | 0.365470i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −16.2992 | − | 16.5315i | −0.528539 | − | 0.536072i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 7.32518 | − | 3.34530i | 0.237286 | − | 0.108365i | −0.293223 | − | 0.956044i | \(-0.594728\pi\) |
0.530509 | + | 0.847679i | \(0.322001\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 21.3312 | + | 61.6325i | 0.690262 | + | 1.99438i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.585610 | + | 7.44698i | −0.0189301 | + | 0.240727i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −24.8003 | − | 31.5361i | −0.800843 | − | 1.01835i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.728012 | + | 15.2829i | 0.0234843 | + | 0.492995i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −12.0624 | + | 46.8197i | −0.388705 | + | 1.50874i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 8.06991 | + | 56.1275i | 0.259780 | + | 1.80681i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20.2335 | − | 35.0455i | −0.650666 | − | 1.12699i | −0.982962 | − | 0.183812i | \(-0.941156\pi\) |
0.332295 | − | 0.943175i | \(-0.392177\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 5.92678 | − | 6.42771i | 0.190396 | − | 0.206488i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −7.01760 | − | 4.99721i | −0.225205 | − | 0.160368i | 0.461885 | − | 0.886940i | \(-0.347173\pi\) |
−0.687091 | + | 0.726572i | \(0.741113\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.06437 | + | 43.3364i | −0.0661806 | + | 1.38930i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −9.41510 | − | 5.22786i | −0.301525 | − | 0.167425i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −46.8344 | − | 11.3619i | −1.49837 | − | 0.363500i | −0.599019 | − | 0.800735i | \(-0.704442\pi\) |
−0.899347 | + | 0.437235i | \(0.855958\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.78677 | + | 14.4591i | −0.0890654 | + | 0.462115i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.524543 | + | 0.424655i | 0.0167474 | + | 0.0135582i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −32.9135 | − | 21.1522i | −1.04978 | − | 0.674652i | −0.102392 | − | 0.994744i | \(-0.532650\pi\) |
−0.947386 | + | 0.320092i | \(0.896286\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 59.9319 | + | 30.8970i | 1.90959 | + | 0.984462i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −49.5504 | + | 10.4124i | −1.57721 | + | 0.331430i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −35.0072 | − | 27.5300i | −1.11316 | − | 0.875402i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −39.9792 | + | 34.6421i | −1.26998 | + | 1.10044i | −0.279886 | + | 0.960033i | \(0.590297\pi\) |
−0.990093 | + | 0.140410i | \(0.955158\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −3.63541 | + | 0.946587i | −0.115366 | + | 0.0300390i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 52.2872 | − | 26.9559i | 1.65762 | − | 0.854560i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8.66787 | + | 2.54512i | −0.274514 | + | 0.0806047i | −0.416092 | − | 0.909322i | \(-0.636601\pi\) |
0.141578 | + | 0.989927i | \(0.454782\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 28.1701 | + | 9.66871i | 0.891264 | + | 0.305904i |
(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 | 804.2.ba.b.41.18 | yes | 440 | |
3.2 | odd | 2 | inner | 804.2.ba.b.41.4 | ✓ | 440 | |
67.18 | odd | 66 | inner | 804.2.ba.b.353.4 | yes | 440 | |
201.152 | even | 66 | inner | 804.2.ba.b.353.18 | yes | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.ba.b.41.4 | ✓ | 440 | 3.2 | odd | 2 | inner | |
804.2.ba.b.41.18 | yes | 440 | 1.1 | even | 1 | trivial | |
804.2.ba.b.353.4 | yes | 440 | 67.18 | odd | 66 | inner | |
804.2.ba.b.353.18 | yes | 440 | 201.152 | even | 66 | inner |