Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(49,804)]
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, 0, 46]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.y (of order \(33\), 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: | \(120\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 121.5 | ||
Character | \(\chi\) | \(=\) | 804.121 |
Dual form | 804.2.y.b.505.5 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{26}{33}\right)\) | \(1\) |
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 | ||||||||
\(3\) | 0.654861 | − | 0.755750i | 0.378084 | − | 0.436332i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.24994 | − | 1.44595i | 1.00620 | − | 0.646647i | 0.0697946 | − | 0.997561i | \(-0.477766\pi\) |
0.936407 | + | 0.350915i | \(0.114129\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.21379 | + | 0.886268i | 0.836734 | + | 0.334978i | 0.750151 | − | 0.661267i | \(-0.229981\pi\) |
0.0865836 | + | 0.996245i | \(0.472405\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.240925 | + | 5.05764i | 0.0726417 | + | 1.52494i | 0.681595 | + | 0.731730i | \(0.261287\pi\) |
−0.608953 | + | 0.793206i | \(0.708410\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.25247 | − | 0.310573i | 0.902072 | − | 0.0861374i | 0.366297 | − | 0.930498i | \(-0.380626\pi\) |
0.535775 | + | 0.844361i | \(0.320019\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.380622 | − | 2.64728i | 0.0982761 | − | 0.683525i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.620152 | + | 2.55630i | 0.150409 | + | 0.619995i | 0.996247 | + | 0.0865547i | \(0.0275857\pi\) |
−0.845838 | + | 0.533440i | \(0.820899\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.689895 | + | 0.276192i | −0.158273 | + | 0.0633628i | −0.449446 | − | 0.893307i | \(-0.648379\pi\) |
0.291173 | + | 0.956670i | \(0.405954\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.11952 | − | 1.09269i | 0.462518 | − | 0.238444i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.936879 | + | 0.180569i | 0.195353 | + | 0.0376511i | 0.285989 | − | 0.958233i | \(-0.407678\pi\) |
−0.0906362 | + | 0.995884i | \(0.528890\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.894377 | − | 1.95841i | 0.178875 | − | 0.391683i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.841254 | − | 0.540641i | −0.161899 | − | 0.104046i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.974121 | − | 1.68723i | 0.180890 | − | 0.313310i | −0.761294 | − | 0.648407i | \(-0.775436\pi\) |
0.942184 | + | 0.335097i | \(0.108769\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.90618 | − | 0.754949i | −1.41999 | − | 0.135593i | −0.643368 | − | 0.765557i | \(-0.722464\pi\) |
−0.776624 | + | 0.629964i | \(0.783070\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.98008 | + | 3.12997i | 0.692843 | + | 0.544858i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 6.26239 | − | 1.20698i | 1.05854 | − | 0.204016i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.51395 | − | 6.08634i | −0.577689 | − | 1.00059i | −0.995744 | − | 0.0921655i | \(-0.970621\pi\) |
0.418054 | − | 0.908422i | \(-0.362712\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.89520 | − | 2.66143i | 0.303474 | − | 0.426170i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.77758 | + | 1.69491i | −0.277611 | + | 0.264701i | −0.816074 | − | 0.577948i | \(-0.803854\pi\) |
0.538463 | + | 0.842649i | \(0.319005\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.03516 | + | 0.597576i | 0.310358 | + | 0.0911295i | 0.433203 | − | 0.901296i | \(-0.357383\pi\) |
−0.122844 | + | 0.992426i | \(0.539202\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.75143 | − | 2.02126i | −0.261087 | − | 0.301311i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.00788 | − | 11.5800i | −0.584610 | − | 1.68912i | −0.716269 | − | 0.697824i | \(-0.754152\pi\) |
0.131659 | − | 0.991295i | \(-0.457969\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.950738 | − | 0.906526i | −0.135820 | − | 0.129504i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.33804 | + | 1.20534i | 0.327391 | + | 0.168782i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.25911 | + | 1.25059i | −0.585034 | + | 0.171781i | −0.560838 | − | 0.827926i | \(-0.689521\pi\) |
−0.0241963 | + | 0.999707i | \(0.507703\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.85514 | + | 11.0310i | 1.05919 | + | 1.48742i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.243053 | + | 0.702255i | −0.0321931 | + | 0.0930160i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.12694 | + | 11.2264i | 0.667471 | + | 1.46156i | 0.875393 | + | 0.483412i | \(0.160603\pi\) |
−0.207922 | + | 0.978145i | \(0.566670\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.457763 | − | 9.60964i | 0.0586106 | − | 1.23039i | −0.757633 | − | 0.652680i | \(-0.773644\pi\) |
0.816244 | − | 0.577707i | \(-0.196053\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.562192 | − | 2.31739i | 0.0708295 | − | 0.291963i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 6.86877 | − | 5.40166i | 0.851966 | − | 0.669993i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.69049 | − | 7.73054i | 0.328696 | − | 0.944436i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.749990 | − | 0.589798i | 0.0902881 | − | 0.0710034i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.64422 | + | 10.8996i | −0.313811 | + | 1.29355i | 0.568423 | + | 0.822736i | \(0.307554\pi\) |
−0.882234 | + | 0.470810i | \(0.843962\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.635094 | − | 13.3323i | 0.0743321 | − | 1.56042i | −0.586538 | − | 0.809922i | \(-0.699509\pi\) |
0.660870 | − | 0.750501i | \(-0.270188\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.894377 | − | 1.95841i | −0.103274 | − | 0.226138i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −3.94907 | + | 11.4101i | −0.450038 | + | 1.30030i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.59430 | + | 5.04749i | 0.404391 | + | 0.567887i | 0.965681 | − | 0.259732i | \(-0.0836342\pi\) |
−0.561290 | + | 0.827619i | \(0.689695\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.66036 | − | 0.855976i | −0.182248 | − | 0.0939556i | 0.364688 | − | 0.931130i | \(-0.381176\pi\) |
−0.546936 | + | 0.837174i | \(0.684206\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.09158 | + | 4.85481i | 0.552259 | + | 0.526578i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.637207 | − | 1.84109i | −0.0683158 | − | 0.197386i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.92096 | + | 3.37097i | 0.309621 | + | 0.357322i | 0.889139 | − | 0.457638i | \(-0.151304\pi\) |
−0.579517 | + | 0.814960i | \(0.696759\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.47553 | + | 2.19501i | 0.783649 | + | 0.230100i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −5.74800 | + | 5.48071i | −0.596040 | + | 0.568323i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.15286 | + | 1.61897i | −0.118281 | + | 0.166102i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.507256 | + | 0.878592i | 0.0515040 | + | 0.0892075i | 0.890628 | − | 0.454733i | \(-0.150265\pi\) |
−0.839124 | + | 0.543940i | \(0.816932\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 4.97187 | − | 0.958250i | 0.499692 | − | 0.0963078i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −14.2592 | − | 11.2136i | −1.41884 | − | 1.11579i | −0.975642 | − | 0.219370i | \(-0.929600\pi\) |
−0.443203 | − | 0.896421i | \(-0.646158\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 13.5261 | + | 1.29159i | 1.33277 | + | 0.127264i | 0.737001 | − | 0.675892i | \(-0.236241\pi\) |
0.595769 | + | 0.803156i | \(0.296847\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.18882 | − | 5.52320i | 0.311197 | − | 0.539009i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.63634 | − | 2.33693i | −0.351538 | − | 0.225920i | 0.352939 | − | 0.935646i | \(-0.385182\pi\) |
−0.704477 | + | 0.709726i | \(0.748819\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.53865 | − | 5.55888i | 0.243159 | − | 0.532444i | −0.748223 | − | 0.663447i | \(-0.769093\pi\) |
0.991382 | + | 0.131004i | \(0.0418199\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −6.90089 | − | 1.33004i | −0.655004 | − | 0.126242i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −12.6800 | + | 6.53699i | −1.19283 | + | 0.614948i | −0.936168 | − | 0.351553i | \(-0.885654\pi\) |
−0.256664 | + | 0.966501i | \(0.582623\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.36901 | − | 0.948408i | 0.220911 | − | 0.0884395i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.770286 | − | 3.17516i | −0.0712129 | − | 0.293544i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.892682 | + | 6.20874i | −0.0818321 | + | 0.569155i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −14.5715 | + | 1.39141i | −1.32468 | + | 0.126492i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.116867 | + | 2.45333i | 0.0105375 | + | 0.221210i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.08364 | + | 7.53688i | 0.0969237 | + | 0.674119i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.40765 | − | 1.76456i | −0.391116 | − | 0.156579i | 0.167765 | − | 0.985827i | \(-0.446345\pi\) |
−0.558881 | + | 0.829248i | \(0.688769\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.78436 | − | 1.14674i | 0.157104 | − | 0.100965i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.83709 | + | 9.04448i | −0.684729 | + | 0.790220i | −0.986605 | − | 0.163127i | \(-0.947842\pi\) |
0.301876 | + | 0.953347i | \(0.402387\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.77206 | −0.153657 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −2.67450 | −0.230185 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.69887 | − | 1.96060i | 0.145144 | − | 0.167505i | −0.678522 | − | 0.734580i | \(-0.737379\pi\) |
0.823667 | + | 0.567074i | \(0.191925\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.4574 | + | 6.72053i | −0.886981 | + | 0.570028i | −0.902903 | − | 0.429845i | \(-0.858568\pi\) |
0.0159214 | + | 0.999873i | \(0.494932\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −11.3762 | − | 4.55434i | −0.958049 | − | 0.383545i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.35437 | + | 16.3750i | 0.196882 | + | 1.36934i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.247929 | − | 5.20468i | −0.0205894 | − | 0.432225i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.30771 | + | 0.124871i | −0.107858 | + | 0.0102992i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.128389 | + | 0.892962i | −0.0105180 | + | 0.0731543i | −0.994404 | − | 0.105640i | \(-0.966311\pi\) |
0.983886 | + | 0.178795i | \(0.0572198\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.73097 | − | 23.6234i | −0.466380 | − | 1.92244i | −0.376268 | − | 0.926511i | \(-0.622793\pi\) |
−0.0901118 | − | 0.995932i | \(-0.528722\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.44203 | − | 0.977640i | 0.197426 | − | 0.0790375i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −18.8800 | + | 9.73333i | −1.51648 | + | 0.781800i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 15.4862 | + | 2.98471i | 1.23593 | + | 0.238206i | 0.765038 | − | 0.643985i | \(-0.222720\pi\) |
0.470892 | + | 0.882191i | \(0.343932\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1.84399 | + | 4.03778i | −0.146238 | + | 0.320217i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.91402 | + | 1.23007i | 0.150846 | + | 0.0969429i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.78331 | + | 11.7490i | −0.531310 | + | 0.920256i | 0.468022 | + | 0.883717i | \(0.344967\pi\) |
−0.999332 | + | 0.0365391i | \(0.988367\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 13.4807 | + | 1.28725i | 1.04947 | + | 0.100212i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 8.50664 | + | 6.68969i | 0.658263 | + | 0.517664i | 0.890493 | − | 0.454997i | \(-0.150360\pi\) |
−0.232230 | + | 0.972661i | \(0.574602\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.28299 | + | 0.440011i | −0.175615 | + | 0.0338470i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.371563 | + | 0.643566i | 0.0284141 | + | 0.0492147i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.88923 | + | 5.46166i | −0.295693 | + | 0.415242i | −0.935519 | − | 0.353278i | \(-0.885067\pi\) |
0.639826 | + | 0.768520i | \(0.279006\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.71564 | − | 3.54286i | 0.280876 | − | 0.267815i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 11.8418 | + | 3.47707i | 0.890085 | + | 0.261352i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 5.96575 | + | 6.88484i | 0.445901 | + | 0.514597i | 0.933552 | − | 0.358441i | \(-0.116692\pi\) |
−0.487651 | + | 0.873039i | \(0.662146\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.20978 | + | 6.38473i | 0.164251 | + | 0.474573i | 0.996851 | − | 0.0793027i | \(-0.0252694\pi\) |
−0.832599 | + | 0.553876i | \(0.813148\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −6.96271 | − | 6.63893i | −0.514698 | − | 0.490764i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −16.7067 | − | 8.61289i | −1.22830 | − | 0.633232i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −12.7795 | + | 3.75239i | −0.934526 | + | 0.274402i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.38321 | − | 1.94244i | −0.100614 | − | 0.141292i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.50342 | − | 13.0118i | 0.325856 | − | 0.941498i | −0.656475 | − | 0.754347i | \(-0.727953\pi\) |
0.982331 | − | 0.187151i | \(-0.0599253\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.42870 | − | 14.0769i | −0.462748 | − | 1.01328i | −0.986853 | − | 0.161623i | \(-0.948327\pi\) |
0.524105 | − | 0.851654i | \(-0.324400\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.415785 | − | 8.72840i | 0.0297750 | − | 0.625054i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.23568 | − | 9.21560i | 0.159286 | − | 0.656584i | −0.835039 | − | 0.550191i | \(-0.814555\pi\) |
0.994324 | − | 0.106393i | \(-0.0339301\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −16.7167 | + | 13.1461i | −1.18501 | + | 0.931904i | −0.998719 | − | 0.0505904i | \(-0.983890\pi\) |
−0.186293 | + | 0.982494i | \(0.559647\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.08045 | − | 7.09577i | −0.287813 | − | 0.500497i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 3.65184 | − | 2.87184i | 0.256309 | − | 0.201563i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.54868 | + | 6.38373i | −0.108164 | + | 0.445859i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.0453989 | − | 0.953040i | 0.00315544 | − | 0.0662409i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.56309 | − | 3.42270i | −0.108121 | − | 0.236753i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.98318 | − | 5.73002i | 0.136528 | − | 0.394471i | −0.855925 | − | 0.517100i | \(-0.827011\pi\) |
0.992453 | + | 0.122629i | \(0.0391327\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 6.50579 | + | 9.13610i | 0.445769 | + | 0.625995i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 5.44303 | − | 1.59822i | 0.371212 | − | 0.108998i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −16.8336 | − | 8.67830i | −1.14274 | − | 0.589121i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −9.65995 | − | 9.21074i | −0.652759 | − | 0.622404i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.81094 | + | 8.12169i | 0.189084 | + | 0.546324i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.53681 | + | 11.0061i | 0.638632 | + | 0.737020i | 0.979132 | − | 0.203224i | \(-0.0651419\pi\) |
−0.340500 | + | 0.940244i | \(0.610596\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.06576 | − | 0.606563i | −0.137718 | − | 0.0404375i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −14.7519 | + | 14.0659i | −0.979120 | + | 0.933589i | −0.997804 | − | 0.0662360i | \(-0.978901\pi\) |
0.0186835 | + | 0.999825i | \(0.494052\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.04518 | + | 7.08497i | −0.333395 | + | 0.468188i | −0.946912 | − | 0.321494i | \(-0.895815\pi\) |
0.613516 | + | 0.789682i | \(0.289754\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 6.03708 | + | 10.4565i | 0.397210 | + | 0.687989i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 11.3034 | − | 2.17855i | 0.740508 | − | 0.142721i | 0.194972 | − | 0.980809i | \(-0.437538\pi\) |
0.545536 | + | 0.838087i | \(0.316326\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −25.7616 | − | 20.2591i | −1.68050 | − | 1.32156i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 6.16841 | + | 0.589011i | 0.400681 | + | 0.0382604i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.30688 | − | 5.72769i | 0.213904 | − | 0.370493i | −0.739029 | − | 0.673674i | \(-0.764715\pi\) |
0.952933 | + | 0.303181i | \(0.0980486\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.9208 | + | 7.01838i | 0.703472 | + | 0.452094i | 0.842852 | − | 0.538145i | \(-0.180875\pi\) |
−0.139381 | + | 0.990239i | \(0.544511\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.415415 | + | 0.909632i | −0.0266489 | + | 0.0583529i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −3.44989 | − | 0.664911i | −0.220405 | − | 0.0424796i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.15808 | + | 1.11257i | −0.137315 | + | 0.0707910i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −1.73421 | + | 0.694273i | −0.109901 | + | 0.0439978i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.40650 | + | 18.1638i | 0.278136 | + | 1.14649i | 0.923802 | + | 0.382871i | \(0.125065\pi\) |
−0.645666 | + | 0.763620i | \(0.723420\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.687533 | + | 4.78190i | −0.0432248 | + | 0.300635i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 7.00330 | − | 0.668734i | 0.438563 | − | 0.0418777i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −0.690702 | − | 14.4996i | −0.0430848 | − | 0.904461i | −0.912173 | − | 0.409805i | \(-0.865597\pi\) |
0.869088 | − | 0.494657i | \(-0.164706\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.38502 | − | 16.5882i | −0.148198 | − | 1.03074i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.80869 | − | 0.724088i | −0.111955 | − | 0.0448199i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 4.32231 | − | 2.77778i | 0.266525 | − | 0.171285i | −0.400552 | − | 0.916274i | \(-0.631182\pi\) |
0.667077 | + | 0.744989i | \(0.267545\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −7.77445 | + | 8.97219i | −0.477581 | + | 0.551157i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 4.46043 | 0.272974 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −15.4431 | −0.941580 | −0.470790 | − | 0.882245i | \(-0.656031\pi\) | ||||
−0.470790 | + | 0.882245i | \(0.656031\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.06837 | + | 5.84921i | −0.307881 | + | 0.355314i | −0.888512 | − | 0.458853i | \(-0.848260\pi\) |
0.580631 | + | 0.814167i | \(0.302806\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 6.55431 | − | 4.21220i | 0.396685 | − | 0.254934i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 10.1204 | + | 4.05161i | 0.610285 | + | 0.244321i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.27102 | + | 15.7953i | 0.136452 | + | 0.949046i | 0.936888 | + | 0.349628i | \(0.113692\pi\) |
−0.800436 | + | 0.599418i | \(0.795399\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.377903 | + | 7.93315i | 0.0226244 | + | 0.474945i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.05447 | − | 0.100689i | 0.0629043 | − | 0.00600663i | −0.0635564 | − | 0.997978i | \(-0.520244\pi\) |
0.126461 | + | 0.991972i | \(0.459638\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.82141 | + | 12.6682i | −0.108272 | + | 0.753047i | 0.861275 | + | 0.508140i | \(0.169667\pi\) |
−0.969546 | + | 0.244907i | \(0.921242\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.468570 | + | 1.93147i | 0.0277557 | + | 0.114410i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −5.43733 | + | 2.17678i | −0.320955 | + | 0.128491i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.96011 | − | 4.61926i | 0.527065 | − | 0.271721i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.996178 | + | 0.191997i | 0.0583970 | + | 0.0112551i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −5.53173 | + | 12.1128i | −0.323167 | + | 0.707638i | −0.999583 | − | 0.0288826i | \(-0.990805\pi\) |
0.676416 | + | 0.736520i | \(0.263532\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 27.7681 | + | 17.8455i | 1.61672 | + | 1.03900i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.53169 | − | 4.38501i | 0.146903 | − | 0.254444i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 3.10325 | + | 0.296324i | 0.179465 | + | 0.0171369i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.97580 | + | 3.12660i | 0.229161 | + | 0.180214i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −17.8124 | + | 3.43307i | −1.02330 | + | 0.197225i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −12.8651 | − | 22.2830i | −0.736652 | − | 1.27592i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.11409 | − | 1.56452i | 0.0635846 | − | 0.0892920i | −0.781559 | − | 0.623831i | \(-0.785575\pi\) |
0.845144 | + | 0.534539i | \(0.179515\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 9.83385 | − | 9.37656i | 0.559428 | − | 0.533414i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 27.3417 | + | 8.02825i | 1.55041 | + | 0.455240i | 0.941222 | − | 0.337788i | \(-0.109679\pi\) |
0.609184 | + | 0.793029i | \(0.291497\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.304085 | − | 0.350933i | −0.0171879 | − | 0.0198359i | 0.747091 | − | 0.664722i | \(-0.231450\pi\) |
−0.764278 | + | 0.644886i | \(0.776905\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −2.08592 | − | 6.02687i | −0.117528 | − | 0.339576i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.79202 | + | 1.70868i | 0.100650 | + | 0.0959693i | 0.738734 | − | 0.673998i | \(-0.235424\pi\) |
−0.638084 | + | 0.769967i | \(0.720273\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.76808 | + | 4.52026i | 0.490918 | + | 0.253086i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.14743 | + | 1.21780i | −0.231487 | + | 0.0679707i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.13387 | − | 1.59230i | −0.0630903 | − | 0.0885979i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.30070 | − | 6.64744i | 0.127620 | − | 0.368734i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.53865 | − | 5.55888i | −0.140388 | − | 0.307407i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.39039 | − | 29.1878i | 0.0766545 | − | 1.60918i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.35654 | − | 30.3241i | 0.404352 | − | 1.66676i | −0.297718 | − | 0.954654i | \(-0.596225\pi\) |
0.702070 | − | 0.712108i | \(-0.252259\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −5.52430 | + | 4.34436i | −0.302730 | + | 0.238069i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −5.12450 | − | 21.2835i | −0.279982 | − | 1.16284i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.89269 | − | 2.27484i | 0.157575 | − | 0.123918i | −0.536259 | − | 0.844054i | \(-0.680163\pi\) |
0.693833 | + | 0.720135i | \(0.255920\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −3.36330 | + | 13.8637i | −0.182669 | + | 0.752973i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.91346 | − | 40.1685i | 0.103620 | − | 2.17525i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.23552 | − | 18.0333i | −0.444676 | − | 0.973705i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.834612 | − | 2.41145i | 0.0449340 | − | 0.129828i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 2.56959 | + | 3.60849i | 0.137943 | + | 0.193714i | 0.877769 | − | 0.479085i | \(-0.159031\pi\) |
−0.739826 | + | 0.672799i | \(0.765092\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.16556 | − | 1.51674i | 0.276506 | − | 0.0811894i | −0.140540 | − | 0.990075i | \(-0.544884\pi\) |
0.417045 | + | 0.908886i | \(0.363066\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.90406 | − | 1.49715i | −0.155007 | − | 0.0799117i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −1.12975 | − | 1.07722i | −0.0601306 | − | 0.0573344i | 0.659418 | − | 0.751776i | \(-0.270803\pi\) |
−0.719549 | + | 0.694442i | \(0.755651\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 9.81094 | + | 28.3468i | 0.520710 | + | 1.50449i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 4.10767 | + | 4.74051i | 0.217401 | + | 0.250894i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 17.9989 | + | 5.28495i | 0.949945 | + | 0.278929i | 0.719764 | − | 0.694219i | \(-0.244250\pi\) |
0.230181 | + | 0.973148i | \(0.426068\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.3513 | + | 12.7304i | −0.702699 | + | 0.670022i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −8.49074 | + | 11.9236i | −0.445648 | + | 0.625825i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −17.8488 | − | 30.9150i | −0.934249 | − | 1.61817i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.63124 | − | 0.507130i | 0.137350 | − | 0.0264720i | −0.120113 | − | 0.992760i | \(-0.538326\pi\) |
0.257463 | + | 0.966288i | \(0.417114\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 1.93064 | + | 1.51827i | 0.100505 | + | 0.0790380i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −10.5371 | − | 1.00618i | −0.547061 | − | 0.0522380i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.1800 | − | 17.6323i | 0.527101 | − | 0.912965i | −0.472401 | − | 0.881384i | \(-0.656612\pi\) |
0.999501 | − | 0.0315811i | \(-0.0100543\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 6.40563 | + | 4.11665i | 0.330785 | + | 0.212583i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 2.64429 | − | 5.79018i | 0.136188 | − | 0.298210i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −22.7439 | − | 4.38353i | −1.16828 | − | 0.225167i | −0.432016 | − | 0.901866i | \(-0.642198\pi\) |
−0.736260 | + | 0.676699i | \(0.763410\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.21996 | + | 2.17554i | −0.216195 | + | 0.111456i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 17.8400 | − | 7.14206i | 0.911582 | − | 0.364942i | 0.132005 | − | 0.991249i | \(-0.457858\pi\) |
0.779577 | + | 0.626307i | \(0.215434\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.61322 | + | 31.3821i | 0.388005 | + | 1.59938i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.301860 | − | 2.09949i | 0.0153444 | − | 0.106723i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 9.16497 | − | 0.875149i | 0.464683 | − | 0.0443718i | 0.139911 | − | 0.990164i | \(-0.455318\pi\) |
0.324772 | + | 0.945792i | \(0.394712\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.119420 | + | 2.50693i | 0.00603931 | + | 0.126781i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.70316 | + | 11.8458i | 0.0859131 | + | 0.597539i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 15.3854 | + | 6.15937i | 0.774121 | + | 0.309911i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.9858 | − | 8.98815i | 0.701929 | − | 0.451102i | −0.140380 | − | 0.990098i | \(-0.544832\pi\) |
0.842309 | + | 0.538995i | \(0.181196\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.16045 | + | 1.33924i | −0.0580954 | + | 0.0670457i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 19.6771 | 0.982626 | 0.491313 | − | 0.870983i | \(-0.336517\pi\) | ||||
0.491313 | + | 0.870983i | \(0.336517\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −25.9491 | −1.29261 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.75143 | + | 2.02126i | −0.0870291 | + | 0.100437i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 29.9359 | − | 19.2386i | 1.48387 | − | 0.953624i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 30.7765 | + | 12.3210i | 1.52180 | + | 0.609237i | 0.973833 | − | 0.227264i | \(-0.0729780\pi\) |
0.547966 | + | 0.836500i | \(0.315402\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.369200 | − | 2.56784i | −0.0182113 | − | 0.126662i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.40034 | + | 29.3968i | 0.0689064 | + | 1.44652i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.97340 | + | 0.474903i | −0.244135 | + | 0.0233120i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.76907 | + | 12.3042i | −0.0866318 | + | 0.602537i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −1.72282 | − | 7.10156i | −0.0841652 | − | 0.346934i | 0.914122 | − | 0.405440i | \(-0.132882\pi\) |
−0.998287 | + | 0.0585058i | \(0.981366\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 27.0054 | − | 10.8113i | 1.31616 | − | 0.526912i | 0.395929 | − | 0.918281i | \(-0.370422\pi\) |
0.920234 | + | 0.391369i | \(0.127998\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −10.8918 | + | 5.61510i | −0.529576 | + | 0.273015i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 5.56095 | + | 1.07178i | 0.269746 | + | 0.0519892i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.53011 | − | 20.8680i | 0.461194 | − | 1.00987i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 13.9172 | + | 8.94402i | 0.671927 | + | 0.431821i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −12.3344 | + | 21.3637i | −0.594125 | + | 1.02905i | 0.399545 | + | 0.916714i | \(0.369168\pi\) |
−0.993670 | + | 0.112341i | \(0.964165\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 16.8617 | + | 1.61010i | 0.810324 | + | 0.0773766i | 0.491989 | − | 0.870602i | \(-0.336270\pi\) |
0.318335 | + | 0.947978i | \(0.396876\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.09579 | − | 3.22097i | −0.196378 | − | 0.154434i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.696219 | + | 0.134185i | −0.0333047 | + | 0.00641895i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.78112 | + | 10.0132i | 0.275918 | + | 0.477904i | 0.970366 | − | 0.241639i | \(-0.0776849\pi\) |
−0.694448 | + | 0.719542i | \(0.744352\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.761995 | + | 1.07007i | −0.0362855 | + | 0.0509558i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −9.60770 | + | 9.16092i | −0.456475 | + | 0.435248i | −0.883103 | − | 0.469179i | \(-0.844550\pi\) |
0.426628 | + | 0.904427i | \(0.359701\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.4462 | + | 3.36091i | 0.542603 | + | 0.159322i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.590779 | + | 0.681795i | 0.0279429 | + | 0.0322478i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −7.55479 | − | 21.8281i | −0.356533 | − | 1.03013i | −0.970562 | − | 0.240851i | \(-0.922574\pi\) |
0.614029 | − | 0.789283i | \(-0.289548\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.00053 | − | 8.58199i | −0.423818 | − | 0.404110i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −21.6063 | − | 11.1388i | −1.01515 | − | 0.523348i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 19.9933 | − | 5.87058i | 0.937302 | − | 0.275217i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 20.1748 | + | 28.3316i | 0.943738 | + | 1.32529i | 0.945612 | + | 0.325297i | \(0.105464\pi\) |
−0.00187373 | + | 0.999998i | \(0.500596\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.860336 | − | 2.48578i | 0.0401571 | − | 0.116026i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 8.78276 | + | 19.2316i | 0.409054 | + | 0.895703i | 0.996271 | + | 0.0862742i | \(0.0274961\pi\) |
−0.587217 | + | 0.809429i | \(0.699777\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.844970 | + | 17.7381i | −0.0392691 | + | 0.824359i | 0.890225 | + | 0.455522i | \(0.150547\pi\) |
−0.929494 | + | 0.368838i | \(0.879756\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −5.00783 | + | 20.6425i | −0.232232 | + | 0.957275i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 14.9888 | − | 11.7873i | 0.693597 | − | 0.545451i | −0.207946 | − | 0.978140i | \(-0.566678\pi\) |
0.901543 | + | 0.432689i | \(0.142435\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.8075 | − | 14.7293i | 0.591397 | − | 0.680136i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 12.3970 | − | 9.74909i | 0.571223 | − | 0.449214i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −2.53200 | + | 10.4371i | −0.116422 | + | 0.479897i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.0761278 | + | 1.59812i | −0.00349298 | + | 0.0733267i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.84399 | + | 4.03778i | 0.0844307 | + | 0.184877i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 0.804151 | − | 2.32344i | 0.0367426 | − | 0.106161i | −0.925138 | − | 0.379632i | \(-0.876051\pi\) |
0.961880 | + | 0.273471i | \(0.0881718\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −13.3192 | − | 18.7043i | −0.607305 | − | 0.852841i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.18304 | − | 0.640998i | 0.0993318 | − | 0.0291664i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.41169 | + | 1.24331i | 0.109509 | + | 0.0564559i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 2.86359 | + | 2.73042i | 0.129761 | + | 0.123727i | 0.752181 | − | 0.658956i | \(-0.229002\pi\) |
−0.622420 | + | 0.782684i | \(0.713850\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 4.43721 | + | 12.8205i | 0.200657 | + | 0.579762i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −1.69045 | − | 1.95088i | −0.0762889 | − | 0.0880421i | 0.716322 | − | 0.697770i | \(-0.245824\pi\) |
−0.792611 | + | 0.609728i | \(0.791279\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.91717 | + | 1.44381i | 0.221458 | + | 0.0650259i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 9.80082 | − | 9.34506i | 0.440514 | − | 0.420029i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −15.5137 | + | 21.7860i | −0.695886 | + | 0.977235i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.68230 | − | 4.64588i | −0.120076 | − | 0.207978i | 0.799721 | − | 0.600371i | \(-0.204981\pi\) |
−0.919798 | + | 0.392393i | \(0.871647\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 10.6264 | − | 2.04807i | 0.474752 | − | 0.0915010i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 32.0300 | + | 25.1886i | 1.42815 | + | 1.12311i | 0.972489 | + | 0.232950i | \(0.0748379\pi\) |
0.455657 | + | 0.890156i | \(0.349405\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −48.2965 | − | 4.61176i | −2.14917 | − | 0.205221i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −1.16250 | + | 2.01352i | −0.0516287 | + | 0.0894235i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −24.1414 | − | 15.5147i | −1.07005 | − | 0.687678i | −0.117810 | − | 0.993036i | \(-0.537587\pi\) |
−0.952237 | + | 0.305358i | \(0.901224\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 13.2219 | − | 28.9520i | 0.584903 | − | 1.28076i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.729697 | + | 0.140638i | 0.0322169 | + | 0.00620930i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 32.3005 | − | 16.6521i | 1.42333 | − | 0.733778i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 57.6020 | − | 23.0603i | 2.53333 | − | 1.01419i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.58074 | + | 6.51591i | 0.0693869 | + | 0.286017i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 5.39421 | − | 37.5176i | 0.236325 | − | 1.64367i | −0.433499 | − | 0.901154i | \(-0.642721\pi\) |
0.669824 | − | 0.742520i | \(-0.266370\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −30.0475 | + | 2.86919i | −1.31389 | + | 0.125461i | −0.728361 | − | 0.685193i | \(-0.759718\pi\) |
−0.585525 | + | 0.810654i | \(0.699112\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.244285 | − | 5.12818i | −0.0106615 | − | 0.223812i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −2.97316 | − | 20.6788i | −0.129513 | − | 0.900782i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −20.5073 | − | 8.20989i | −0.891623 | − | 0.356952i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 10.3825 | − | 6.67244i | 0.450563 | − | 0.289559i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −5.25511 | + | 6.06472i | −0.227624 | + | 0.262692i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −11.5606 | −0.499809 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 9.10995 | 0.393123 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 4.35583 | − | 5.02689i | 0.187619 | − | 0.216524i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −18.1215 | + | 11.6460i | −0.779104 | + | 0.500700i | −0.868736 | − | 0.495275i | \(-0.835067\pi\) |
0.0896323 | + | 0.995975i | \(0.471431\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.27235 | + | 2.51107i | 0.269172 | + | 0.107760i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −2.32603 | − | 16.1779i | −0.0996361 | − | 0.692984i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1.11299 | − | 23.3646i | −0.0475881 | − | 0.998998i | −0.888801 | − | 0.458294i | \(-0.848461\pi\) |
0.841213 | − | 0.540704i | \(-0.181842\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −9.57697 | + | 0.914490i | −0.408735 | + | 0.0390295i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.206042 | + | 1.43305i | −0.00877768 | + | 0.0610501i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.48360 | + | 14.3596i | 0.148138 | + | 0.610633i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −17.4497 | + | 6.98582i | −0.740700 | + | 0.296531i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −4.71880 | + | 2.43271i | −0.199942 | + | 0.103077i | −0.555290 | − | 0.831657i | \(-0.687393\pi\) |
0.355348 | + | 0.934734i | \(0.384362\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.80487 | + | 1.31153i | 0.287815 | + | 0.0554718i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −5.53290 | + | 12.1154i | −0.233599 | + | 0.511511i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −21.7994 | − | 14.0097i | −0.918737 | − | 0.590436i | −0.00644607 | − | 0.999979i | \(-0.502052\pi\) |
−0.912291 | + | 0.409543i | \(0.865688\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19.0770 | + | 33.0424i | −0.802576 | + | 1.39010i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2.37381 | − | 0.226671i | −0.0996906 | − | 0.00951929i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 26.4546 | + | 20.8041i | 1.10904 | + | 0.872155i | 0.992647 | − | 0.121049i | \(-0.0386258\pi\) |
0.116389 | + | 0.993204i | \(0.462868\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 26.9558 | − | 5.19530i | 1.12806 | − | 0.217417i | 0.409118 | − | 0.912482i | \(-0.365837\pi\) |
0.718947 | + | 0.695065i | \(0.244624\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −6.88453 | − | 11.9243i | −0.287605 | − | 0.498147i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.19155 | − | 1.67330i | 0.0496911 | − | 0.0697814i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −26.7774 | + | 25.5322i | −1.11476 | + | 1.06292i | −0.117200 | + | 0.993108i | \(0.537392\pi\) |
−0.997560 | + | 0.0698129i | \(0.977760\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −14.8485 | − | 4.35991i | −0.617083 | − | 0.181192i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.91707 | − | 3.36648i | −0.121020 | − | 0.139665i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −7.35115 | − | 21.2398i | −0.304454 | − | 0.879661i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −6.32421 | − | 6.03012i | −0.261474 | − | 0.249315i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −24.4175 | − | 12.5881i | −1.00782 | − | 0.519566i | −0.126437 | − | 0.991975i | \(-0.540354\pi\) |
−0.881379 | + | 0.472409i | \(0.843385\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.66295 | − | 1.66279i | 0.233338 | − | 0.0685141i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −5.50063 | − | 7.72455i | −0.226266 | − | 0.317746i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −13.5097 | + | 39.0337i | −0.554777 | + | 1.60292i | 0.223298 | + | 0.974750i | \(0.428318\pi\) |
−0.778074 | + | 0.628172i | \(0.783803\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.96903 | + | 15.2600i | 0.285702 | + | 0.625601i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −1.01190 | + | 21.2425i | −0.0414145 | + | 0.869397i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 4.91003 | − | 20.2394i | 0.200618 | − | 0.826960i | −0.779152 | − | 0.626835i | \(-0.784350\pi\) |
0.979770 | − | 0.200125i | \(-0.0641349\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.13788 | + | 6.39970i | −0.331951 | + | 0.261049i | −0.770197 | − | 0.637806i | \(-0.779842\pi\) |
0.438246 | + | 0.898855i | \(0.355600\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −8.03475 | − | 1.56294i | −0.327200 | − | 0.0636478i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −30.7730 | + | 24.2002i | −1.25110 | + | 0.983877i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 11.0691 | − | 45.6273i | 0.449279 | − | 1.85195i | −0.0702907 | − | 0.997527i | \(-0.522393\pi\) |
0.519570 | − | 0.854428i | \(-0.326092\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.221056 | − | 4.64053i | 0.00895762 | − | 0.188044i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −16.6319 | − | 36.4189i | −0.672856 | − | 1.47335i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.69536 | + | 25.1236i | −0.351202 | + | 1.01473i | 0.621648 | + | 0.783297i | \(0.286464\pi\) |
−0.972850 | + | 0.231436i | \(0.925658\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 3.81033 | + | 5.35086i | 0.153647 | + | 0.215768i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 16.9187 | − | 4.96779i | 0.681123 | − | 0.199996i | 0.0771725 | − | 0.997018i | \(-0.475411\pi\) |
0.603950 | + | 0.797022i | \(0.293593\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −26.5830 | − | 13.7045i | −1.06846 | − | 0.550831i | −0.168010 | − | 0.985785i | \(-0.553734\pi\) |
−0.900452 | + | 0.434955i | \(0.856764\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.690530 | − | 0.658419i | −0.0277100 | − | 0.0264214i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 3.47881 | + | 10.0514i | 0.139376 | + | 0.402700i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 20.3855 | + | 23.5262i | 0.815421 | + | 0.941046i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.61031 | − | 1.06008i | −0.144182 | − | 0.0423356i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 13.3793 | − | 12.7572i | 0.533469 | − | 0.508662i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.1548 | − | 21.2819i | 0.603302 | − | 0.847220i | −0.394114 | − | 0.919062i | \(-0.628948\pi\) |
0.997416 | + | 0.0718420i | \(0.0228877\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −3.03175 | − | 5.25115i | −0.120501 | − | 0.208715i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −12.4684 | + | 2.40309i | −0.494793 | + | 0.0953636i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.37378 | − | 2.65317i | −0.133674 | − | 0.105123i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 11.1650 | + | 1.06613i | 0.441680 | + | 0.0421753i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 14.9380 | − | 25.8734i | 0.590017 | − | 1.02194i | −0.404212 | − | 0.914665i | \(-0.632454\pi\) |
0.994229 | − | 0.107274i | \(-0.0342123\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 20.6119 | + | 13.2465i | 0.812855 | + | 0.522390i | 0.879787 | − | 0.475367i | \(-0.157685\pi\) |
−0.0669326 | + | 0.997758i | \(0.521321\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 2.35658 | − | 5.16018i | 0.0927901 | − | 0.203182i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −13.8587 | − | 2.67104i | −0.544841 | − | 0.105009i | −0.0905983 | − | 0.995888i | \(-0.528878\pi\) |
−0.454243 | + | 0.890878i | \(0.650090\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −55.5441 | + | 28.6350i | −2.18030 | + | 1.12402i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −17.5823 | + | 7.03887i | −0.689103 | + | 0.275875i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 7.58525 | + | 31.2668i | 0.296834 | + | 1.22356i | 0.903493 | + | 0.428603i | \(0.140994\pi\) |
−0.606659 | + | 0.794962i | \(0.707491\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.55511 | + | 31.6815i | −0.177983 | + | 1.23790i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −13.2869 | + | 1.26875i | −0.518373 | + | 0.0494986i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.24079 | − | 47.0400i | −0.0872888 | − | 1.83242i | −0.441510 | − | 0.897256i | \(-0.645557\pi\) |
0.354222 | − | 0.935161i | \(-0.384746\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.34019 | − | 9.32121i | −0.0521273 | − | 0.362553i | −0.999144 | − | 0.0413687i | \(-0.986828\pi\) |
0.947017 | − | 0.321184i | \(-0.104081\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 7.97874 | + | 3.19420i | 0.309868 | + | 0.124053i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −3.98703 | + | 2.56231i | −0.154610 | + | 0.0993621i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.21729 | − | 1.40483i | 0.0471338 | − | 0.0543953i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 14.5631 | 0.563042 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 48.7124 | 1.88052 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −28.3361 | + | 32.7016i | −1.09227 | + | 1.26055i | −0.129113 | + | 0.991630i | \(0.541213\pi\) |
−0.963162 | + | 0.268922i | \(0.913332\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.81120 | + | 1.16399i | −0.0697130 | + | 0.0448018i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −34.8171 | − | 13.9387i | −1.33813 | − | 0.535706i | −0.411406 | − | 0.911452i | \(-0.634962\pi\) |
−0.926723 | + | 0.375746i | \(0.877387\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.344289 | + | 2.39458i | 0.0132126 | + | 0.0918957i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.969867 | + | 20.3600i | 0.0371654 | + | 0.780197i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −2.41541 | + | 0.230644i | −0.0924232 | + | 0.00882534i | −0.141165 | − | 0.989986i | \(-0.545085\pi\) |
0.0487420 | + | 0.998811i | \(0.484479\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.987426 | − | 6.86770i | 0.0377276 | − | 0.262401i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 2.05057 | + | 8.45257i | 0.0782341 | + | 0.322485i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −13.4642 | + | 5.39026i | −0.512946 | + | 0.205353i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −45.5027 | + | 23.4583i | −1.73100 | + | 0.892394i | −0.761195 | + | 0.648523i | \(0.775387\pi\) |
−0.969808 | + | 0.243871i | \(0.921583\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 11.8560 | + | 2.28505i | 0.450371 | + | 0.0868018i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −13.8109 | + | 30.2415i | −0.523875 | + | 1.14713i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.43508 | − | 3.49292i | −0.205868 | − | 0.132304i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 5.75570 | − | 9.96916i | 0.217700 | − | 0.377068i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −34.9099 | − | 3.33349i | −1.31853 | − | 0.125904i | −0.588041 | − | 0.808831i | \(-0.700101\pi\) |
−0.730486 | + | 0.682927i | \(0.760707\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.10525 | + | 3.22841i | 0.154833 | + | 0.121762i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −32.1811 | + | 6.20239i | −1.21201 | + | 0.233596i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −21.6287 | − | 37.4620i | −0.813430 | − | 1.40890i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.76058 | + | 8.08960i | −0.216343 | + | 0.303811i | −0.908458 | − | 0.417976i | \(-0.862740\pi\) |
0.692115 | + | 0.721787i | \(0.256679\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.48459 | − | 4.27605i | 0.168185 | − | 0.160364i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −7.27081 | − | 2.13490i | −0.272294 | − | 0.0799528i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 28.9745 | + | 33.4384i | 1.08359 | + | 1.25052i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.16315 | − | 6.25001i | −0.0807843 | − | 0.233411i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −9.66483 | − | 9.21539i | −0.360437 | − | 0.343676i | 0.488123 | − | 0.872775i | \(-0.337682\pi\) |
−0.848560 | + | 0.529099i | \(0.822530\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 28.7994 | + | 14.8471i | 1.07254 | + | 0.552935i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 12.4558 | − | 3.65734i | 0.463235 | − | 0.136018i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.43306 | − | 3.41675i | −0.0903614 | − | 0.126895i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.23077 | − | 9.33469i | 0.119823 | − | 0.346205i | −0.869100 | − | 0.494636i | \(-0.835301\pi\) |
0.988923 | + | 0.148432i | \(0.0474225\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.265478 | + | 5.57306i | −0.00981905 | + | 0.206127i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −12.7067 | + | 52.3776i | −0.469332 | + | 1.93461i | −0.141194 | + | 0.989982i | \(0.545094\pi\) |
−0.328138 | + | 0.944630i | \(0.606421\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.76170 | + | 2.17183i | −0.101867 | + | 0.0801090i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 39.7465 | + | 11.7451i | 1.46408 | + | 0.432635i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.5553 | + | 9.08715i | −0.425067 | + | 0.334276i | −0.807668 | − | 0.589637i | \(-0.799271\pi\) |
0.382601 | + | 0.923914i | \(0.375028\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.572420 | + | 2.35955i | −0.0210284 | + | 0.0866801i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 0.123349 | − | 2.58942i | 0.00452525 | − | 0.0949967i | −0.995475 | − | 0.0950265i | \(-0.969706\pi\) |
1.00000 | 2.97169e-5i | \(9.45918e-6\pi\) | ||||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.00231 | + | 2.19475i | 0.0367217 | + | 0.0804094i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −0.610969 | + | 1.76528i | −0.0223542 | + | 0.0645882i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −5.97895 | − | 8.39626i | −0.218466 | − | 0.306793i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −40.3993 | + | 11.8623i | −1.47419 | + | 0.432862i | −0.917459 | − | 0.397830i | \(-0.869763\pi\) |
−0.556732 | + | 0.830692i | \(0.687945\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 16.6130 | + | 8.56457i | 0.605410 | + | 0.312110i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −47.0524 | − | 44.8644i | −1.71241 | − | 1.63278i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −9.30545 | − | 26.8863i | −0.338212 | − | 0.977201i | −0.977992 | − | 0.208642i | \(-0.933096\pi\) |
0.639780 | − | 0.768558i | \(-0.279026\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 3.16368 | + | 3.65108i | 0.114834 | + | 0.132526i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 16.5705 | + | 4.86553i | 0.600679 | + | 0.176375i | 0.567914 | − | 0.823088i | \(-0.307751\pi\) |
0.0327651 | + | 0.999463i | \(0.489569\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.5467 | − | 10.0563i | 0.381816 | − | 0.364061i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 4.08079 | − | 5.73067i | 0.147541 | − | 0.207193i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 20.1618 | + | 34.9213i | 0.728001 | + | 1.26094i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 24.9858 | − | 4.81562i | 0.901010 | − | 0.173656i | 0.282348 | − | 0.959312i | \(-0.408887\pi\) |
0.618663 | + | 0.785657i | \(0.287675\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.4104 | − | 8.97323i | −0.410935 | − | 0.323163i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 42.5346 | + | 4.06156i | 1.52986 | + | 0.146084i | 0.825763 | − | 0.564017i | \(-0.190745\pi\) |
0.704099 | + | 0.710102i | \(0.251351\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.54961 | + | 14.8084i | −0.307111 | + | 0.531932i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −14.0984 | − | 9.06047i | −0.505776 | − | 0.325043i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.758218 | − | 1.66027i | 0.0271660 | − | 0.0594852i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −55.7634 | − | 10.7475i | −1.99537 | − | 0.384576i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.73167 | + | 0.892736i | −0.0618847 | + | 0.0319038i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 39.1586 | − | 15.6767i | 1.39763 | − | 0.559527i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.84578 | + | 7.60840i | 0.0657949 | + | 0.271210i | 0.995201 | − | 0.0978473i | \(-0.0311957\pi\) |
−0.929407 | + | 0.369058i | \(0.879681\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0.731206 | − | 5.08565i | 0.0260316 | − | 0.181054i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −33.8644 | + | 3.23365i | −1.20408 | + | 0.114976i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.49563 | − | 31.3972i | −0.0531115 | − | 1.11495i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 1.68955 | + | 11.7511i | 0.0599221 | + | 0.416768i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 4.99154 | + | 1.99831i | 0.176809 | + | 0.0707838i | 0.458378 | − | 0.888757i | \(-0.348431\pi\) |
−0.281569 | + | 0.959541i | \(0.590855\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 27.1165 | − | 17.4267i | 0.959314 | − | 0.616514i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 2.92096 | − | 3.37097i | 0.103207 | − | 0.119107i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 67.5828 | 2.38494 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.08504 | 0.214469 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −10.1131 | + | 11.6711i | −0.355996 | + | 0.410842i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −13.3525 | + | 8.58116i | −0.469450 | + | 0.301697i | −0.753895 | − | 0.656995i | \(-0.771827\pi\) |
0.284444 | + | 0.958693i | \(0.408191\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −33.0286 | − | 13.2227i | −1.15979 | − | 0.464311i | −0.289660 | − | 0.957130i | \(-0.593542\pi\) |
−0.870132 | + | 0.492819i | \(0.835966\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.10146 | + | 7.66083i | 0.0386299 | + | 0.268677i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.72646 | + | 36.2429i | 0.0604753 | + | 1.26953i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.56909 | + | 0.149830i | −0.0548955 | + | 0.00524188i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 1.10879 | − | 7.71182i | 0.0387444 | − | 0.269473i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1.71535 | − | 7.07075i | −0.0598660 | − | 0.246771i | 0.934014 | − | 0.357236i | \(-0.116281\pi\) |
−0.993880 | + | 0.110466i | \(0.964766\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.5787 | + | 8.23846i | −0.717328 | + | 0.287175i | −0.701470 | − | 0.712699i | \(-0.747472\pi\) |
−0.0158585 | + | 0.999874i | \(0.505048\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 9.68947 | − | 4.99527i | 0.337344 | − | 0.173913i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −17.6712 | − | 3.40585i | −0.614489 | − | 0.118433i | −0.127496 | − | 0.991839i | \(-0.540694\pi\) |
−0.486993 | + | 0.873406i | \(0.661906\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 14.0150 | − | 30.6886i | 0.486762 | − | 1.06586i | −0.493786 | − | 0.869583i | \(-0.664387\pi\) |
0.980548 | − | 0.196277i | \(-0.0628852\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 13.4245 | + | 8.62739i | 0.465690 | + | 0.299281i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 1.72775 | − | 2.99256i | 0.0598631 | − | 0.103686i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 28.8123 | + | 2.75124i | 0.997092 | + | 0.0952107i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 6.24295 | + | 4.90951i | 0.215788 | + | 0.169697i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −13.8981 | + | 2.67863i | −0.479815 | + | 0.0924767i | −0.423423 | − | 0.905932i | \(-0.639172\pi\) |
−0.0563915 | + | 0.998409i | \(0.517960\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.6022 | + | 21.8276i | 0.434558 | + | 0.752676i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.614434 | − | 0.862851i | 0.0211622 | − | 0.0297182i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −4.50036 | + | 4.29108i | −0.154817 | + | 0.147618i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −33.4914 | − | 9.83396i | −1.15078 | − | 0.337899i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 8.38123 | + | 9.67245i | 0.287643 | + | 0.331958i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −2.19314 | − | 6.33667i | −0.0751799 | − | 0.217218i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.4337 | + | 14.7160i | 0.528439 | + | 0.503866i | 0.906667 | − | 0.421847i | \(-0.138618\pi\) |
−0.378228 | + | 0.925713i | \(0.623466\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.76656 | + | 0.910723i | 0.0604149 | + | 0.0311461i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 46.9923 | − | 13.7982i | 1.60523 | − | 0.471337i | 0.648232 | − | 0.761443i | \(-0.275509\pi\) |
0.956995 | + | 0.290106i | \(0.0936905\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −0.768017 | − | 1.07853i | −0.0262044 | − | 0.0367989i | 0.801266 | − | 0.598308i | \(-0.204160\pi\) |
−0.827470 | + | 0.561509i | \(0.810221\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.91559 | + | 5.53475i | −0.0652833 | + | 0.188624i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −2.45527 | − | 5.37628i | −0.0835782 | − | 0.183011i | 0.863229 | − | 0.504813i | \(-0.168439\pi\) |
−0.946807 | + | 0.321802i | \(0.895711\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.853254 | + | 17.9120i | −0.0290115 | + | 0.609026i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 2.37662 | − | 9.79657i | 0.0807143 | − | 0.332709i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −24.6624 | + | 19.3948i | −0.836616 | + | 0.657922i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.34985 | − | 25.9789i | 0.215156 | − | 0.880262i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.797460 | − | 0.627129i | 0.0269899 | − | 0.0212251i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −4.28075 | + | 17.6455i | −0.144716 | + | 0.596526i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.45282 | + | 30.4985i | −0.0490583 | + | 1.02986i | 0.831381 | + | 0.555703i | \(0.187551\pi\) |
−0.880440 | + | 0.474158i | \(0.842752\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 5.53173 | + | 12.1128i | 0.186581 | + | 0.408555i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 5.31839 | − | 15.3665i | 0.179181 | − | 0.517710i | −0.819266 | − | 0.573413i | \(-0.805619\pi\) |
0.998447 | + | 0.0557035i | \(0.0177402\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −4.34922 | − | 6.10763i | −0.146363 | − | 0.205538i | 0.734886 | − | 0.678191i | \(-0.237236\pi\) |
−0.881249 | + | 0.472653i | \(0.843296\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 31.6710 | − | 9.29943i | 1.06461 | − | 0.312597i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −32.4115 | − | 16.7093i | −1.08827 | − | 0.561044i | −0.181812 | − | 0.983333i | \(-0.558196\pi\) |
−0.906461 | + | 0.422290i | \(0.861227\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −8.19375 | − | 7.81273i | −0.274810 | − | 0.262031i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.65607 | − | 4.78489i | −0.0554804 | − | 0.160300i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 5.96333 | + | 6.88205i | 0.199555 | + | 0.230299i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 23.3777 | + | 6.86430i | 0.781429 | + | 0.229448i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 2.25614 | − | 2.15123i | 0.0753303 | − | 0.0718273i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −8.97535 | + | 12.6041i | −0.299345 | + | 0.420371i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.83818 | − | 10.1120i | −0.194498 | − | 0.336880i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 4.96652 | − | 0.957219i | 0.165276 | − | 0.0318543i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 14.2038 | + | 11.1700i | 0.472151 | + | 0.371304i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −29.8575 | − | 2.85104i | −0.991401 | − | 0.0946673i | −0.413267 | − | 0.910610i | \(-0.635613\pi\) |
−0.578133 | + | 0.815942i | \(0.696219\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −9.07013 | + | 15.7099i | −0.300837 | + | 0.521065i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 46.4417 | + | 29.8463i | 1.53868 | + | 0.988851i | 0.988055 | + | 0.154100i | \(0.0492477\pi\) |
0.550627 | + | 0.834751i | \(0.314389\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.92920 | − | 8.60374i | 0.130037 | − | 0.284742i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −25.2652 | − | 4.86946i | −0.835241 | − | 0.160980i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −25.3655 | + | 13.0768i | −0.837643 | + | 0.431835i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 37.5614 | − | 15.0373i | 1.23904 | − | 0.496035i | 0.342715 | − | 0.939440i | \(-0.388654\pi\) |
0.896322 | + | 0.443404i | \(0.146229\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −0.452813 | − | 1.86652i | −0.0149207 | − | 0.0615039i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −5.21511 | + | 36.2719i | −0.171657 | + | 1.19390i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −15.0624 | + | 1.43828i | −0.495247 | + | 0.0472904i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.646527 | − | 13.5723i | −0.0212347 | − | 0.445772i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −0.883186 | − | 6.14269i | −0.0289764 | − | 0.201535i | 0.970191 | − | 0.242343i | \(-0.0779159\pi\) |
−0.999167 | + | 0.0408078i | \(0.987007\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.906284 | + | 0.362822i | 0.0297023 | + | 0.0118910i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 23.9724 | − | 15.4061i | 0.784820 | − | 0.504373i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −23.3272 | + | 26.9210i | −0.762881 | + | 0.880412i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −0.452292 | −0.0147757 | −0.00738787 | − | 0.999973i | \(-0.502352\pi\) | ||||
−0.00738787 | + | 0.999973i | \(0.502352\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.464351 | −0.0151535 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −33.8106 | + | 39.0196i | −1.10220 | + | 1.27200i | −0.142857 | + | 0.989743i | \(0.545629\pi\) |
−0.959338 | + | 0.282258i | \(0.908917\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.97142 | + | 1.26695i | −0.0641983 | + | 0.0412577i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −5.92079 | − | 2.37033i | −0.192603 | − | 0.0771068i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 4.59856 | + | 31.9837i | 0.149433 | + | 1.03933i | 0.917150 | + | 0.398542i | \(0.130484\pi\) |
−0.767717 | + | 0.640789i | \(0.778607\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −2.07502 | − | 43.5600i | −0.0673579 | − | 1.41402i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.46486 | − | 0.235366i | 0.0799285 | − | 0.00763225i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 3.32200 | − | 23.1050i | 0.107610 | − | 0.748444i | −0.862549 | − | 0.505974i | \(-0.831133\pi\) |
0.970159 | − | 0.242470i | \(-0.0779577\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8.68191 | − | 35.7873i | −0.280940 | − | 1.15805i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 9.15805 | − | 3.66633i | 0.296038 | − | 0.118516i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 5.49856 | − | 2.83471i | 0.177558 | − | 0.0915374i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 31.4980 | + | 6.07074i | 1.01606 | + | 0.195830i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −1.79564 | + | 3.93191i | −0.0578637 | + | 0.126704i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −34.8186 | − | 22.3765i | −1.12085 | − | 0.720326i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.66736 | − | 4.62001i | 0.0857766 | − | 0.148569i | −0.819945 | − | 0.572442i | \(-0.805996\pi\) |
0.905722 | + | 0.423872i | \(0.139330\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −1.94591 | − | 0.185812i | −0.0625115 | − | 0.00596913i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −22.4278 | − | 17.6374i | −0.719743 | − | 0.566012i | 0.189699 | − | 0.981842i | \(-0.439249\pi\) |
−0.909442 | + | 0.415830i | \(0.863491\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −29.1066 | + | 5.60984i | −0.933115 | + | 0.179843i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −3.51716 | − | 6.09190i | −0.112639 | − | 0.195097i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −9.60138 | + | 13.4832i | −0.307175 | + | 0.431367i | −0.939090 | − | 0.343670i | \(-0.888330\pi\) |
0.631915 | + | 0.775038i | \(0.282269\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −16.3454 | + | 15.5853i | −0.522402 | + | 0.498109i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −5.86358 | − | 1.72170i | −0.187210 | − | 0.0549698i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −26.4603 | − | 30.5368i | −0.843952 | − | 0.973972i | 0.155953 | − | 0.987764i | \(-0.450155\pi\) |
−0.999905 | + | 0.0137924i | \(0.995610\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −8.29512 | − | 23.9672i | −0.264305 | − | 0.763658i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −21.1482 | − | 20.1647i | −0.673153 | − | 0.641850i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 1.79879 | + | 0.927341i | 0.0571982 | + | 0.0294877i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.45871 | + | 2.48370i | −0.268700 | + | 0.0788973i | −0.413307 | − | 0.910592i | \(-0.635626\pi\) |
0.144607 | + | 0.989489i | \(0.453808\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −18.0999 | − | 25.4177i | −0.574383 | − | 0.806608i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −18.6028 | + | 53.7493i | −0.589749 | + | 1.70397i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −19.2022 | − | 42.0469i | −0.608139 | − | 1.33164i | −0.923839 | − | 0.382780i | \(-0.874967\pi\) |
0.315700 | − | 0.948859i | \(-0.397761\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.334401 | + | 7.01994i | −0.0105800 | + | 0.222101i |
(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.y.b.121.5 | ✓ | 120 | |
67.36 | even | 33 | inner | 804.2.y.b.505.5 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.y.b.121.5 | ✓ | 120 | 1.1 | even | 1 | trivial | |
804.2.y.b.505.5 | yes | 120 | 67.36 | even | 33 | inner |