Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(19,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.bk (of order \(6\), degree \(2\), 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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 168) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.16 | ||
Character | \(\chi\) | \(=\) | 504.19 |
Dual form | 504.2.bk.c.451.16 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41257 | − | 0.0681843i | 0.998837 | − | 0.0482136i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.99070 | − | 0.192630i | 0.995351 | − | 0.0963150i | ||||
\(5\) | −2.08776 | + | 3.61611i | −0.933677 | + | 1.61718i | −0.156700 | + | 0.987646i | \(0.550085\pi\) |
−0.776977 | + | 0.629529i | \(0.783248\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.39694 | + | 1.12013i | −0.905958 | + | 0.423368i | ||||
\(8\) | 2.79887 | − | 0.407838i | 0.989550 | − | 0.144192i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.70255 | + | 5.25036i | −0.854621 | + | 1.66031i | ||||
\(11\) | 0.855485 | + | 1.48174i | 0.257939 | + | 0.446763i | 0.965690 | − | 0.259699i | \(-0.0836235\pi\) |
−0.707751 | + | 0.706462i | \(0.750290\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.54062 | −0.427292 | −0.213646 | − | 0.976911i | \(-0.568534\pi\) | ||||
−0.213646 | + | 0.976911i | \(0.568534\pi\) | |||||||
\(14\) | −3.30947 | + | 1.74569i | −0.884492 | + | 0.466555i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.92579 | − | 0.766938i | 0.981447 | − | 0.191735i | ||||
\(17\) | −2.02094 | + | 1.16679i | −0.490149 | + | 0.282988i | −0.724636 | − | 0.689132i | \(-0.757992\pi\) |
0.234487 | + | 0.972119i | \(0.424659\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.09693 | + | 3.52006i | 1.39873 | + | 0.807558i | 0.994260 | − | 0.106992i | \(-0.0341221\pi\) |
0.404472 | + | 0.914551i | \(0.367455\pi\) | |||||||
\(20\) | −3.45954 | + | 7.60077i | −0.773578 | + | 1.69958i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.30946 | + | 2.03473i | 0.279179 | + | 0.433807i | ||||
\(23\) | 0.406066 | + | 0.234442i | 0.0846705 | + | 0.0488846i | 0.541737 | − | 0.840548i | \(-0.317767\pi\) |
−0.457067 | + | 0.889432i | \(0.651100\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −6.21752 | − | 10.7691i | −1.24350 | − | 2.15381i | ||||
\(26\) | −2.17624 | + | 0.105046i | −0.426795 | + | 0.0206013i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.55582 | + | 2.69156i | −0.860969 | + | 0.508657i | ||||
\(29\) | − | 3.33885i | − | 0.620009i | −0.950735 | − | 0.310005i | \(-0.899669\pi\) | ||
0.950735 | − | 0.310005i | \(-0.100331\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.58126 | + | 2.73883i | 0.284003 | + | 0.491908i | 0.972367 | − | 0.233458i | \(-0.0750040\pi\) |
−0.688364 | + | 0.725366i | \(0.741671\pi\) | |||||||
\(32\) | 5.49315 | − | 1.35103i | 0.971061 | − | 0.238831i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.77516 | + | 1.78596i | −0.475935 | + | 0.306290i | ||||
\(35\) | 0.953738 | − | 11.0062i | 0.161211 | − | 1.86038i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.74648 | + | 4.47243i | 1.27351 | + | 0.735263i | 0.975647 | − | 0.219345i | \(-0.0703920\pi\) |
0.297865 | + | 0.954608i | \(0.403725\pi\) | |||||||
\(38\) | 8.85235 | + | 4.55662i | 1.43604 | + | 0.739181i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −4.36859 | + | 10.9725i | −0.690735 | + | 1.73490i | ||||
\(41\) | − | 5.31411i | − | 0.829925i | −0.909838 | − | 0.414963i | \(-0.863795\pi\) | ||
0.909838 | − | 0.414963i | \(-0.136205\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.42772 | −0.522722 | −0.261361 | − | 0.965241i | \(-0.584171\pi\) | ||||
−0.261361 | + | 0.965241i | \(0.584171\pi\) | |||||||
\(44\) | 1.98844 | + | 2.78492i | 0.299769 | + | 0.419842i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.589581 | + | 0.303478i | 0.0869290 | + | 0.0447454i | ||||
\(47\) | 2.95047 | − | 5.11037i | 0.430371 | − | 0.745424i | −0.566534 | − | 0.824038i | \(-0.691716\pi\) |
0.996905 | + | 0.0786139i | \(0.0250494\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.49063 | − | 5.36975i | 0.641519 | − | 0.767107i | ||||
\(50\) | −9.51696 | − | 14.7881i | −1.34590 | − | 2.09135i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.06692 | + | 0.296770i | −0.425305 | + | 0.0411546i | ||||
\(53\) | 1.35437 | − | 0.781947i | 0.186037 | − | 0.107409i | −0.404089 | − | 0.914720i | \(-0.632411\pi\) |
0.590126 | + | 0.807311i | \(0.299078\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.14421 | −0.963325 | ||||||||
\(56\) | −6.25189 | + | 4.11265i | −0.835444 | + | 0.549576i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.227657 | − | 4.71636i | −0.0298929 | − | 0.619288i | ||||
\(59\) | 5.26742 | − | 3.04114i | 0.685759 | − | 0.395923i | −0.116262 | − | 0.993219i | \(-0.537091\pi\) |
0.802021 | + | 0.597295i | \(0.203758\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.55959 | − | 7.89744i | 0.583795 | − | 1.01116i | −0.411229 | − | 0.911532i | \(-0.634900\pi\) |
0.995024 | − | 0.0996311i | \(-0.0317663\pi\) | |||||||
\(62\) | 2.42039 | + | 3.76097i | 0.307390 | + | 0.477643i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.66734 | − | 2.28297i | 0.958417 | − | 0.285371i | ||||
\(65\) | 3.21646 | − | 5.57107i | 0.398952 | − | 0.691006i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.73658 | + | 6.47195i | 0.456496 | + | 0.790675i | 0.998773 | − | 0.0495251i | \(-0.0157708\pi\) |
−0.542276 | + | 0.840200i | \(0.682437\pi\) | |||||||
\(68\) | −3.79832 | + | 2.71202i | −0.460614 | + | 0.328881i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.596773 | − | 15.6120i | 0.0713281 | − | 1.86599i | ||||
\(71\) | 3.49263i | 0.414499i | 0.978288 | + | 0.207249i | \(0.0664512\pi\) | ||||
−0.978288 | + | 0.207249i | \(0.933549\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.5811 | + | 7.26372i | −1.47251 | + | 0.850154i | −0.999522 | − | 0.0309152i | \(-0.990158\pi\) |
−0.472988 | + | 0.881069i | \(0.656824\pi\) | |||||||
\(74\) | 11.2474 | + | 5.78943i | 1.30748 | + | 0.673007i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 12.8152 | + | 5.83295i | 1.47001 | + | 0.669085i | ||||
\(77\) | −3.71029 | − | 2.59340i | −0.422826 | − | 0.295545i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.46108 | − | 0.843557i | −0.164385 | − | 0.0949075i | 0.415551 | − | 0.909570i | \(-0.363589\pi\) |
−0.579935 | + | 0.814662i | \(0.696922\pi\) | |||||||
\(80\) | −5.42278 | + | 15.7973i | −0.606286 | + | 1.76619i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.362339 | − | 7.50655i | −0.0400137 | − | 0.828960i | ||||
\(83\) | 2.72601i | 0.299219i | 0.988745 | + | 0.149609i | \(0.0478016\pi\) | ||||
−0.988745 | + | 0.149609i | \(0.952198\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 9.74391i | − | 1.05688i | ||||||
\(86\) | −4.84189 | + | 0.233717i | −0.522114 | + | 0.0252023i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.99870 | + | 3.79831i | 0.319663 | + | 0.404901i | ||||
\(89\) | −1.83829 | − | 1.06134i | −0.194858 | − | 0.112501i | 0.399397 | − | 0.916778i | \(-0.369220\pi\) |
−0.594255 | + | 0.804277i | \(0.702553\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.69278 | − | 1.72569i | 0.387108 | − | 0.180902i | ||||
\(92\) | 0.853516 | + | 0.388484i | 0.0889852 | + | 0.0405022i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.81930 | − | 7.41993i | 0.393931 | − | 0.765307i | ||||
\(95\) | −25.4579 | + | 14.6981i | −2.61193 | + | 1.50800i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.95202i | 0.198198i | 0.995078 | + | 0.0990990i | \(0.0315960\pi\) | ||||
−0.995078 | + | 0.0990990i | \(0.968404\pi\) | |||||||
\(98\) | 5.97720 | − | 7.89133i | 0.603788 | − | 0.797145i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −14.4517 | − | 20.2403i | −1.44517 | − | 2.02403i | ||||
\(101\) | −6.89045 | − | 11.9346i | −0.685625 | − | 1.18754i | −0.973240 | − | 0.229792i | \(-0.926196\pi\) |
0.287615 | − | 0.957746i | \(-0.407138\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.84129 | + | 6.65331i | −0.378494 | + | 0.655570i | −0.990843 | − | 0.135017i | \(-0.956891\pi\) |
0.612350 | + | 0.790587i | \(0.290224\pi\) | |||||||
\(104\) | −4.31200 | + | 0.628324i | −0.422826 | + | 0.0616123i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.85983 | − | 1.19690i | 0.180642 | − | 0.116253i | ||||
\(107\) | −7.20414 | + | 12.4779i | −0.696450 | + | 1.20629i | 0.273239 | + | 0.961946i | \(0.411905\pi\) |
−0.969689 | + | 0.244341i | \(0.921428\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.92380 | + | 1.68806i | −0.280050 | + | 0.161687i | −0.633446 | − | 0.773787i | \(-0.718360\pi\) |
0.353396 | + | 0.935474i | \(0.385027\pi\) | |||||||
\(110\) | −10.0917 | + | 0.487123i | −0.962204 | + | 0.0464453i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −8.55080 | + | 6.23568i | −0.807975 | + | 0.589217i | ||||
\(113\) | 10.7090 | 1.00742 | 0.503710 | − | 0.863873i | \(-0.331968\pi\) | ||||
0.503710 | + | 0.863873i | \(0.331968\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.69554 | + | 0.978920i | −0.158110 | + | 0.0912847i | ||||
\(116\) | −0.643163 | − | 6.64666i | −0.0597162 | − | 0.617127i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.23323 | − | 4.65498i | 0.665873 | − | 0.428526i | ||||
\(119\) | 3.53711 | − | 5.06042i | 0.324246 | − | 0.463888i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.03629 | − | 6.99106i | 0.366935 | − | 0.635551i | ||||
\(122\) | 5.90225 | − | 11.4666i | 0.534365 | − | 1.03813i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.67540 | + | 5.14759i | 0.330061 | + | 0.462267i | ||||
\(125\) | 31.0452 | 2.77677 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 9.49738i | − | 0.842757i | −0.906885 | − | 0.421378i | \(-0.861546\pi\) | ||
0.906885 | − | 0.421378i | \(-0.138454\pi\) | |||||||
\(128\) | 10.6750 | − | 3.74764i | 0.943544 | − | 0.331248i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.16361 | − | 8.08883i | 0.365173 | − | 0.709437i | ||||
\(131\) | 11.8364 | + | 6.83375i | 1.03415 | + | 0.597068i | 0.918171 | − | 0.396184i | \(-0.129666\pi\) |
0.115981 | + | 0.993251i | \(0.462999\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −18.5569 | − | 1.60805i | −1.60909 | − | 0.139435i | ||||
\(134\) | 5.71947 | + | 8.88730i | 0.494087 | + | 0.767746i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.18048 | + | 4.08990i | −0.444222 | + | 0.350706i | ||||
\(137\) | −5.99460 | − | 10.3829i | −0.512153 | − | 0.887075i | −0.999901 | − | 0.0140902i | \(-0.995515\pi\) |
0.487748 | − | 0.872985i | \(-0.337819\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.64909i | 0.563968i | 0.959419 | + | 0.281984i | \(0.0909925\pi\) | ||||
−0.959419 | + | 0.281984i | \(0.909007\pi\) | |||||||
\(140\) | −0.221510 | − | 22.0937i | −0.0187210 | − | 1.86726i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.238143 | + | 4.93358i | 0.0199845 | + | 0.414017i | ||||
\(143\) | −1.31798 | − | 2.28281i | −0.110215 | − | 0.190898i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 12.0737 | + | 6.97073i | 1.00266 | + | 0.578888i | ||||
\(146\) | −17.2764 | + | 11.1183i | −1.42981 | + | 0.920160i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 16.2824 | + | 7.41107i | 1.33841 | + | 0.609186i | ||||
\(149\) | −7.03123 | − | 4.05948i | −0.576021 | − | 0.332566i | 0.183530 | − | 0.983014i | \(-0.441248\pi\) |
−0.759550 | + | 0.650448i | \(0.774581\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.07044 | + | 0.618020i | −0.0871113 | + | 0.0502937i | −0.542923 | − | 0.839783i | \(-0.682682\pi\) |
0.455812 | + | 0.890076i | \(0.349349\pi\) | |||||||
\(152\) | 18.5001 | + | 7.36564i | 1.50056 | + | 0.597432i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −5.41786 | − | 3.41037i | −0.436584 | − | 0.274815i | ||||
\(155\) | −13.2052 | −1.06067 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.80286 | − | 8.31880i | −0.383310 | − | 0.663913i | 0.608223 | − | 0.793766i | \(-0.291883\pi\) |
−0.991533 | + | 0.129854i | \(0.958549\pi\) | |||||||
\(158\) | −2.12140 | − | 1.09196i | −0.168769 | − | 0.0868716i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −6.58293 | + | 22.6845i | −0.520426 | + | 1.79337i | ||||
\(161\) | −1.23592 | − | 0.107099i | −0.0974041 | − | 0.00844055i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.70461 | − | 16.8089i | 0.760123 | − | 1.31657i | −0.182663 | − | 0.983176i | \(-0.558472\pi\) |
0.942787 | − | 0.333397i | \(-0.108195\pi\) | |||||||
\(164\) | −1.02366 | − | 10.5788i | −0.0799343 | − | 0.826067i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.185871 | + | 3.85068i | 0.0144264 | + | 0.298871i | ||||
\(167\) | 17.7482 | 1.37340 | 0.686699 | − | 0.726942i | \(-0.259059\pi\) | ||||
0.686699 | + | 0.726942i | \(0.259059\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.6265 | −0.817422 | ||||||||
\(170\) | −0.664382 | − | 13.7639i | −0.0509558 | − | 1.05565i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.82356 | + | 0.660281i | −0.520292 | + | 0.0503460i | ||||
\(173\) | −3.57075 | + | 6.18472i | −0.271479 | + | 0.470216i | −0.969241 | − | 0.246114i | \(-0.920846\pi\) |
0.697762 | + | 0.716330i | \(0.254179\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 26.9657 | + | 18.8484i | 2.03842 | + | 1.42480i | ||||
\(176\) | 4.49486 | + | 5.16091i | 0.338813 | + | 0.389018i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.66907 | − | 1.37387i | −0.200055 | − | 0.102976i | ||||
\(179\) | 11.9581 | + | 20.7121i | 0.893791 | + | 1.54809i | 0.835293 | + | 0.549805i | \(0.185298\pi\) |
0.0584980 | + | 0.998288i | \(0.481369\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 20.5572 | 1.52800 | 0.764002 | − | 0.645214i | \(-0.223232\pi\) | ||||
0.764002 | + | 0.645214i | \(0.223232\pi\) | |||||||
\(182\) | 5.09864 | − | 2.68945i | 0.377936 | − | 0.199355i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.23214 | + | 0.490564i | 0.0908345 | + | 0.0361648i | ||||
\(185\) | −32.3456 | + | 18.6748i | −2.37810 | + | 1.37300i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.45776 | − | 1.99634i | −0.252857 | − | 0.145987i | ||||
\(188\) | 4.88910 | − | 10.7416i | 0.356575 | − | 0.783410i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −34.9589 | + | 22.4979i | −2.53618 | + | 1.63217i | ||||
\(191\) | 1.74523 | + | 1.00761i | 0.126280 | + | 0.0729079i | 0.561809 | − | 0.827267i | \(-0.310105\pi\) |
−0.435529 | + | 0.900175i | \(0.643439\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.78535 | + | 3.09232i | 0.128512 | + | 0.222590i | 0.923100 | − | 0.384559i | \(-0.125646\pi\) |
−0.794588 | + | 0.607149i | \(0.792313\pi\) | |||||||
\(194\) | 0.133097 | + | 2.75737i | 0.00955584 | + | 0.197967i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.90514 | − | 11.5546i | 0.564653 | − | 0.825329i | ||||
\(197\) | 17.5393i | 1.24962i | 0.780775 | + | 0.624812i | \(0.214824\pi\) | ||||
−0.780775 | + | 0.624812i | \(0.785176\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −8.85336 | − | 15.3345i | −0.627598 | − | 1.08703i | −0.988032 | − | 0.154247i | \(-0.950705\pi\) |
0.360434 | − | 0.932785i | \(-0.382629\pi\) | |||||||
\(200\) | −21.7941 | − | 27.6054i | −1.54107 | − | 1.95200i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −10.5470 | − | 16.3886i | −0.742083 | − | 1.15310i | ||||
\(203\) | 3.73994 | + | 8.00302i | 0.262492 | + | 0.561702i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 19.2164 | + | 11.0946i | 1.34213 | + | 0.774882i | ||||
\(206\) | −4.97244 | + | 9.66017i | −0.346446 | + | 0.673056i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −6.04816 | + | 1.18156i | −0.419364 | + | 0.0819266i | ||||
\(209\) | 12.0455i | 0.833201i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.23050 | −0.291240 | −0.145620 | − | 0.989341i | \(-0.546518\pi\) | ||||
−0.145620 | + | 0.989341i | \(0.546518\pi\) | |||||||
\(212\) | 2.54552 | − | 1.81752i | 0.174827 | − | 0.124827i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −9.32554 | + | 18.1171i | −0.637481 | + | 1.23846i | ||||
\(215\) | 7.15626 | − | 12.3950i | 0.488053 | − | 0.845333i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.85803 | − | 4.79359i | −0.465553 | − | 0.325410i | ||||
\(218\) | −4.01498 | + | 2.58386i | −0.271928 | + | 0.175001i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −14.2220 | + | 1.37619i | −0.958846 | + | 0.0927827i | ||||
\(221\) | 3.11350 | − | 1.79758i | 0.209437 | − | 0.120918i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.43532 | −0.0961162 | −0.0480581 | − | 0.998845i | \(-0.515303\pi\) | ||||
−0.0480581 | + | 0.998845i | \(0.515303\pi\) | |||||||
\(224\) | −11.6534 | + | 9.39136i | −0.778627 | + | 0.627487i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 15.1272 | − | 0.730187i | 1.00625 | − | 0.0485713i | ||||
\(227\) | −13.8688 | + | 8.00718i | −0.920508 | + | 0.531455i | −0.883797 | − | 0.467871i | \(-0.845021\pi\) |
−0.0367106 | + | 0.999326i | \(0.511688\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.12499 | + | 14.0729i | −0.536914 | + | 0.929963i | 0.462154 | + | 0.886800i | \(0.347077\pi\) |
−0.999068 | + | 0.0431631i | \(0.986256\pi\) | |||||||
\(230\) | −2.32832 | + | 1.49840i | −0.153525 | + | 0.0988016i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.36171 | − | 9.34501i | −0.0894006 | − | 0.613530i | ||||
\(233\) | 5.93054 | − | 10.2720i | 0.388522 | − | 0.672941i | −0.603729 | − | 0.797190i | \(-0.706319\pi\) |
0.992251 | + | 0.124249i | \(0.0396522\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 12.3198 | + | 21.3385i | 0.803654 | + | 1.39197i | ||||
\(236\) | 9.90004 | − | 7.06867i | 0.644438 | − | 0.460131i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.65137 | − | 7.38937i | 0.301504 | − | 0.478982i | ||||
\(239\) | 0.846585i | 0.0547610i | 0.999625 | + | 0.0273805i | \(0.00871657\pi\) | ||||
−0.999625 | + | 0.0273805i | \(0.991283\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.761425 | + | 0.439609i | −0.0490477 | + | 0.0283177i | −0.524323 | − | 0.851519i | \(-0.675682\pi\) |
0.475276 | + | 0.879837i | \(0.342348\pi\) | |||||||
\(242\) | 5.22486 | − | 10.1506i | 0.335867 | − | 0.652503i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.55549 | − | 16.5998i | 0.483691 | − | 1.06269i | ||||
\(245\) | 10.0422 | + | 27.4494i | 0.641575 | + | 1.75368i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.39307 | − | 5.42309i | −0.597667 | − | 0.345063i | ||||
\(248\) | 5.54275 | + | 7.02072i | 0.351965 | + | 0.445816i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 43.8535 | − | 2.11680i | 2.77354 | − | 0.133878i | ||||
\(251\) | − | 18.1441i | − | 1.14524i | −0.819820 | − | 0.572622i | \(-0.805926\pi\) | ||
0.819820 | − | 0.572622i | \(-0.194074\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.802247i | 0.0504368i | ||||||||
\(254\) | −0.647573 | − | 13.4157i | −0.0406323 | − | 0.841776i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.8236 | − | 6.02167i | 0.926476 | − | 0.376354i | ||||
\(257\) | −15.8902 | − | 9.17421i | −0.991203 | − | 0.572271i | −0.0855695 | − | 0.996332i | \(-0.527271\pi\) |
−0.905634 | + | 0.424061i | \(0.860604\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −23.5775 | − | 2.04311i | −1.46504 | − | 0.126953i | ||||
\(260\) | 5.32985 | − | 11.7099i | 0.330543 | − | 0.726218i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 17.1857 | + | 8.84609i | 1.06174 | + | 0.546513i | ||||
\(263\) | 3.02044 | − | 1.74385i | 0.186248 | − | 0.107531i | −0.403977 | − | 0.914769i | \(-0.632372\pi\) |
0.590225 | + | 0.807239i | \(0.299039\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.53008i | 0.401140i | ||||||||
\(266\) | −26.3225 | − | 1.00619i | −1.61394 | − | 0.0616933i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 8.68512 | + | 12.1640i | 0.530528 | + | 0.743032i | ||||
\(269\) | −7.35605 | − | 12.7410i | −0.448506 | − | 0.776835i | 0.549783 | − | 0.835308i | \(-0.314710\pi\) |
−0.998289 | + | 0.0584722i | \(0.981377\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 9.95139 | − | 17.2363i | 0.604504 | − | 1.04703i | −0.387626 | − | 0.921817i | \(-0.626705\pi\) |
0.992130 | − | 0.125215i | \(-0.0399619\pi\) | |||||||
\(272\) | −7.03891 | + | 6.13049i | −0.426797 | + | 0.371716i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −9.17573 | − | 14.2579i | −0.554326 | − | 0.861350i | ||||
\(275\) | 10.6380 | − | 18.4255i | 0.641495 | − | 1.11110i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −22.9034 | + | 13.2233i | −1.37613 | + | 0.794510i | −0.991691 | − | 0.128640i | \(-0.958939\pi\) |
−0.384440 | + | 0.923150i | \(0.625605\pi\) | |||||||
\(278\) | 0.453363 | + | 9.39229i | 0.0271909 | + | 0.563312i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.81934 | − | 31.1938i | −0.108726 | − | 1.86419i | ||||
\(281\) | 20.2837 | 1.21003 | 0.605013 | − | 0.796216i | \(-0.293168\pi\) | ||||
0.605013 | + | 0.796216i | \(0.293168\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.70426 | − | 3.29336i | 0.339083 | − | 0.195770i | −0.320783 | − | 0.947153i | \(-0.603946\pi\) |
0.659866 | + | 0.751383i | \(0.270613\pi\) | |||||||
\(284\) | 0.672785 | + | 6.95278i | 0.0399225 | + | 0.412572i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.01739 | − | 3.13476i | −0.119291 | − | 0.185362i | ||||
\(287\) | 5.95248 | + | 12.7376i | 0.351364 | + | 0.751877i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.77721 | + | 10.0064i | −0.339836 | + | 0.588613i | ||||
\(290\) | 17.5302 | + | 9.02341i | 1.02941 | + | 0.529873i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −23.6461 | + | 16.8834i | −1.38378 | + | 0.988026i | ||||
\(293\) | −12.9438 | −0.756187 | −0.378094 | − | 0.925767i | \(-0.623420\pi\) | ||||
−0.378094 | + | 0.925767i | \(0.623420\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 25.3968i | 1.47866i | ||||||||
\(296\) | 23.5054 | + | 9.35844i | 1.36622 | + | 0.543948i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.2089 | − | 5.25488i | −0.591385 | − | 0.304407i | ||||
\(299\) | −0.625594 | − | 0.361187i | −0.0361790 | − | 0.0208880i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 8.21603 | − | 3.83948i | 0.473564 | − | 0.221304i | ||||
\(302\) | −1.46993 | + | 0.945983i | −0.0845851 | + | 0.0544352i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 26.6349 | + | 9.14305i | 1.52762 | + | 0.524390i | ||||
\(305\) | 19.0387 | + | 32.9760i | 1.09015 | + | 1.88820i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 11.8773i | 0.677871i | 0.940810 | + | 0.338936i | \(0.110067\pi\) | ||||
−0.940810 | + | 0.338936i | \(0.889933\pi\) | |||||||
\(308\) | −7.88564 | − | 4.44797i | −0.449326 | − | 0.253447i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −18.6533 | + | 0.900389i | −1.05944 | + | 0.0511386i | ||||
\(311\) | −5.91849 | − | 10.2511i | −0.335607 | − | 0.581288i | 0.647994 | − | 0.761645i | \(-0.275608\pi\) |
−0.983601 | + | 0.180357i | \(0.942275\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −12.8383 | − | 7.41217i | −0.725661 | − | 0.418961i | 0.0911716 | − | 0.995835i | \(-0.470939\pi\) |
−0.816833 | + | 0.576875i | \(0.804272\pi\) | |||||||
\(314\) | −7.35159 | − | 11.4234i | −0.414874 | − | 0.644660i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.07107 | − | 1.39782i | −0.172761 | − | 0.0786336i | ||||
\(317\) | 5.87478 | + | 3.39181i | 0.329961 | + | 0.190503i | 0.655824 | − | 0.754914i | \(-0.272322\pi\) |
−0.325863 | + | 0.945417i | \(0.605655\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.94732 | − | 2.85634i | 0.276997 | − | 0.159924i | ||||
\(320\) | −7.75211 | + | 32.4923i | −0.433356 | + | 1.81637i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.75312 | − | 0.0670137i | −0.0976978 | − | 0.00373453i | ||||
\(323\) | −16.4287 | −0.914116 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.57885 | + | 16.5911i | 0.531339 | + | 0.920306i | ||||
\(326\) | 12.5623 | − | 24.4054i | 0.695763 | − | 1.35169i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.16730 | − | 14.8735i | −0.119669 | − | 0.821252i | ||||
\(329\) | −1.34784 | + | 15.5542i | −0.0743090 | + | 0.857528i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.37285 | − | 4.10989i | 0.130424 | − | 0.225900i | −0.793416 | − | 0.608679i | \(-0.791700\pi\) |
0.923840 | + | 0.382779i | \(0.125033\pi\) | |||||||
\(332\) | 0.525112 | + | 5.42668i | 0.0288193 | + | 0.297828i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 25.0706 | − | 1.21015i | 1.37180 | − | 0.0662164i | ||||
\(335\) | −31.2044 | −1.70488 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.5173 | 0.899754 | 0.449877 | − | 0.893090i | \(-0.351468\pi\) | ||||
0.449877 | + | 0.893090i | \(0.351468\pi\) | |||||||
\(338\) | −15.0106 | + | 0.724559i | −0.816471 | + | 0.0394108i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.87697 | − | 19.3972i | −0.101793 | − | 1.05196i | ||||
\(341\) | −2.70549 | + | 4.68605i | −0.146511 | + | 0.253764i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.74897 | + | 17.9010i | −0.256420 | + | 0.966565i | ||||
\(344\) | −9.59373 | + | 1.39795i | −0.517259 | + | 0.0753726i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.62223 | + | 8.97981i | −0.248493 | + | 0.482758i | ||||
\(347\) | −9.54986 | − | 16.5408i | −0.512663 | − | 0.887959i | −0.999892 | − | 0.0146846i | \(-0.995326\pi\) |
0.487229 | − | 0.873274i | \(-0.338008\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.49767 | −0.133697 | −0.0668485 | − | 0.997763i | \(-0.521294\pi\) | ||||
−0.0668485 | + | 0.997763i | \(0.521294\pi\) | |||||||
\(350\) | 39.3761 | + | 24.7860i | 2.10474 | + | 1.32487i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 6.70119 | + | 6.98366i | 0.357175 | + | 0.372230i | ||||
\(353\) | 22.3071 | − | 12.8790i | 1.18729 | − | 0.685481i | 0.229599 | − | 0.973285i | \(-0.426259\pi\) |
0.957689 | + | 0.287805i | \(0.0929254\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −12.6297 | − | 7.29179i | −0.670317 | − | 0.387008i | ||||
\(356\) | −3.86393 | − | 1.75869i | −0.204788 | − | 0.0932105i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 18.3039 | + | 28.4419i | 0.967391 | + | 1.50320i | ||||
\(359\) | 28.7697 | + | 16.6102i | 1.51840 | + | 0.876651i | 0.999765 | + | 0.0216582i | \(0.00689457\pi\) |
0.518639 | + | 0.854993i | \(0.326439\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.2817 | + | 26.4687i | 0.804300 | + | 1.39309i | ||||
\(362\) | 29.0384 | − | 1.40168i | 1.52623 | − | 0.0736705i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.01880 | − | 4.14668i | 0.367885 | − | 0.217345i | ||||
\(365\) | − | 60.6597i | − | 3.17507i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.17584 | − | 3.76866i | −0.113578 | − | 0.196722i | 0.803633 | − | 0.595126i | \(-0.202898\pi\) |
−0.917210 | + | 0.398403i | \(0.869564\pi\) | |||||||
\(368\) | 1.77393 | + | 0.608943i | 0.0924725 | + | 0.0317433i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −44.4171 | + | 28.5849i | −2.30914 | + | 1.48606i | ||||
\(371\) | −2.37047 | + | 3.39135i | −0.123068 | + | 0.176070i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.0943 | − | 6.40533i | −0.574444 | − | 0.331655i | 0.184479 | − | 0.982837i | \(-0.440940\pi\) |
−0.758922 | + | 0.651181i | \(0.774274\pi\) | |||||||
\(374\) | −5.02045 | − | 2.58420i | −0.259601 | − | 0.133626i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.17379 | − | 15.5066i | 0.318389 | − | 0.799691i | ||||
\(377\) | 5.14391i | 0.264925i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −24.0807 | −1.23694 | −0.618472 | − | 0.785807i | \(-0.712248\pi\) | ||||
−0.618472 | + | 0.785807i | \(0.712248\pi\) | |||||||
\(380\) | −47.8478 | + | 34.1635i | −2.45454 | + | 1.75255i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 2.53396 | + | 1.30432i | 0.129648 | + | 0.0667347i | ||||
\(383\) | 8.78233 | − | 15.2114i | 0.448756 | − | 0.777268i | −0.549549 | − | 0.835461i | \(-0.685201\pi\) |
0.998305 | + | 0.0581930i | \(0.0185339\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 17.1242 | − | 8.00242i | 0.872731 | − | 0.407841i | ||||
\(386\) | 2.73278 | + | 4.24638i | 0.139095 | + | 0.216135i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.376018 | + | 3.88590i | 0.0190894 | + | 0.197277i | ||||
\(389\) | −23.9022 | + | 13.7999i | −1.21189 | + | 0.699685i | −0.963171 | − | 0.268890i | \(-0.913343\pi\) |
−0.248719 | + | 0.968576i | \(0.580010\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.09418 | −0.0553349 | ||||||||
\(392\) | 10.3787 | − | 16.8607i | 0.524204 | − | 0.851593i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.19591 | + | 24.7755i | 0.0602488 | + | 1.24817i | ||||
\(395\) | 6.10079 | − | 3.52229i | 0.306964 | − | 0.177226i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.65850 | − | 14.9970i | 0.434558 | − | 0.752676i | −0.562702 | − | 0.826660i | \(-0.690238\pi\) |
0.997259 | + | 0.0739841i | \(0.0235714\pi\) | |||||||
\(398\) | −13.5516 | − | 21.0573i | −0.679278 | − | 1.05551i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −32.6679 | − | 37.5086i | −1.63339 | − | 1.87543i | ||||
\(401\) | 3.87616 | − | 6.71371i | 0.193566 | − | 0.335266i | −0.752863 | − | 0.658177i | \(-0.771328\pi\) |
0.946430 | + | 0.322910i | \(0.104661\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.43613 | − | 4.21950i | −0.121352 | − | 0.210188i | ||||
\(404\) | −16.0158 | − | 22.4309i | −0.796815 | − | 1.11598i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 5.82860 | + | 11.0498i | 0.289268 | + | 0.548393i | ||||
\(407\) | 15.3044i | 0.758611i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.01694 | + | 2.31918i | −0.198625 | + | 0.114676i | −0.596014 | − | 0.802974i | \(-0.703250\pi\) |
0.397389 | + | 0.917650i | \(0.369916\pi\) | |||||||
\(410\) | 27.9010 | + | 14.3617i | 1.37793 | + | 0.709271i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −6.36524 | + | 13.9847i | −0.313593 | + | 0.688977i | ||||
\(413\) | −9.21921 | + | 13.1896i | −0.453648 | + | 0.649018i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −9.85758 | − | 5.69128i | −0.483889 | − | 0.279374i | ||||
\(416\) | −8.46287 | + | 2.08143i | −0.414927 | + | 0.102050i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.821311 | + | 17.0150i | 0.0401716 | + | 0.832232i | ||||
\(419\) | − | 14.2419i | − | 0.695760i | −0.937539 | − | 0.347880i | \(-0.886902\pi\) | ||
0.937539 | − | 0.347880i | \(-0.113098\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 20.0126i | − | 0.975356i | −0.873024 | − | 0.487678i | \(-0.837844\pi\) | ||
0.873024 | − | 0.487678i | \(-0.162156\pi\) | |||||||
\(422\) | −5.97587 | + | 0.288454i | −0.290901 | + | 0.0140417i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.47180 | − | 2.74093i | 0.168606 | − | 0.133111i | ||||
\(425\) | 25.1304 | + | 14.5091i | 1.21900 | + | 0.703793i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.08292 | + | 24.0370i | −0.100800 | + | 1.16323i | ||||
\(428\) | −11.9377 | + | 26.2276i | −0.577029 | + | 1.26776i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 9.26357 | − | 17.9968i | 0.446729 | − | 0.867881i | ||||
\(431\) | 12.1099 | − | 6.99165i | 0.583313 | − | 0.336776i | −0.179136 | − | 0.983824i | \(-0.557330\pi\) |
0.762449 | + | 0.647049i | \(0.223997\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.984888i | 0.0473307i | 0.999720 | + | 0.0236653i | \(0.00753362\pi\) | ||||
−0.999720 | + | 0.0236653i | \(0.992466\pi\) | |||||||
\(434\) | −10.0143 | − | 6.30367i | −0.480701 | − | 0.302586i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.49525 | + | 3.92363i | −0.263175 | + | 0.187908i | ||||
\(437\) | 1.65050 | + | 2.85875i | 0.0789542 | + | 0.136753i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.43693 | + | 5.95294i | −0.164036 | + | 0.284118i | −0.936312 | − | 0.351168i | \(-0.885785\pi\) |
0.772277 | + | 0.635286i | \(0.219118\pi\) | |||||||
\(440\) | −19.9957 | + | 2.91368i | −0.953258 | + | 0.138904i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 4.27547 | − | 2.75150i | 0.203363 | − | 0.130875i | ||||
\(443\) | 1.70483 | − | 2.95285i | 0.0809989 | − | 0.140294i | −0.822680 | − | 0.568504i | \(-0.807522\pi\) |
0.903679 | + | 0.428210i | \(0.140856\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.67582 | − | 4.43164i | 0.363869 | − | 0.210080i | ||||
\(446\) | −2.02749 | + | 0.0978664i | −0.0960044 | + | 0.00463411i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −15.8209 | + | 14.0605i | −0.747468 | + | 0.664297i | ||||
\(449\) | −32.9924 | −1.55701 | −0.778503 | − | 0.627641i | \(-0.784021\pi\) | ||||
−0.778503 | + | 0.627641i | \(0.784021\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.87416 | − | 4.54615i | 0.370780 | − | 0.214070i | ||||
\(452\) | 21.3185 | − | 2.06288i | 1.00274 | − | 0.0970297i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −19.0447 | + | 12.2563i | −0.893814 | + | 0.575218i | ||||
\(455\) | −1.46935 | + | 16.9563i | −0.0688842 | + | 0.794926i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.4224 | − | 19.7842i | 0.534319 | − | 0.925467i | −0.464877 | − | 0.885375i | \(-0.653902\pi\) |
0.999196 | − | 0.0400919i | \(-0.0127651\pi\) | |||||||
\(458\) | −10.5176 | + | 20.4329i | −0.491453 | + | 0.954768i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −3.18674 | + | 2.27535i | −0.148583 | + | 0.106089i | ||||
\(461\) | 15.8743 | 0.739338 | 0.369669 | − | 0.929164i | \(-0.379471\pi\) | ||||
0.369669 | + | 0.929164i | \(0.379471\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.72059i | 0.126436i | 0.998000 | + | 0.0632182i | \(0.0201364\pi\) | ||||
−0.998000 | + | 0.0632182i | \(0.979864\pi\) | |||||||
\(464\) | −2.56069 | − | 13.1076i | −0.118877 | − | 0.608506i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.67691 | − | 14.9143i | 0.355626 | − | 0.690890i | ||||
\(467\) | −20.7726 | − | 11.9931i | −0.961240 | − | 0.554972i | −0.0646858 | − | 0.997906i | \(-0.520605\pi\) |
−0.896555 | + | 0.442933i | \(0.853938\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −16.2058 | − | 11.3274i | −0.748313 | − | 0.523052i | ||||
\(470\) | 18.8575 | + | 29.3021i | 0.869832 | + | 1.35160i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 13.5025 | − | 10.6600i | 0.621504 | − | 0.490667i | ||||
\(473\) | −2.93236 | − | 5.07900i | −0.134830 | − | 0.233533i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 87.5443i | − | 4.01681i | ||||||
\(476\) | 6.06654 | − | 10.7551i | 0.278060 | − | 0.492961i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.0577238 | + | 1.19586i | 0.00264022 | + | 0.0546973i | ||||
\(479\) | −9.87511 | − | 17.1042i | −0.451205 | − | 0.781511i | 0.547256 | − | 0.836965i | \(-0.315672\pi\) |
−0.998461 | + | 0.0554547i | \(0.982339\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −11.9344 | − | 6.89033i | −0.544162 | − | 0.314172i | ||||
\(482\) | −1.04559 | + | 0.672895i | −0.0476253 | + | 0.0306495i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.68836 | − | 14.6946i | 0.304016 | − | 0.667937i | ||||
\(485\) | −7.05874 | − | 4.07536i | −0.320521 | − | 0.185053i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 32.1435 | − | 18.5581i | 1.45656 | − | 0.840946i | 0.457721 | − | 0.889096i | \(-0.348666\pi\) |
0.998840 | + | 0.0481495i | \(0.0153324\pi\) | |||||||
\(488\) | 9.54081 | − | 23.9635i | 0.431892 | − | 1.08478i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 16.0570 | + | 38.0895i | 0.725381 | + | 1.72071i | ||||
\(491\) | 20.5746 | 0.928517 | 0.464259 | − | 0.885700i | \(-0.346321\pi\) | ||||
0.464259 | + | 0.885700i | \(0.346321\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.89573 | + | 6.74761i | 0.175455 | + | 0.303897i | ||||
\(494\) | −13.6381 | − | 7.02003i | −0.613608 | − | 0.315846i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.30821 | + | 9.53933i | 0.373050 | + | 0.428328i | ||||
\(497\) | −3.91219 | − | 8.37162i | −0.175486 | − | 0.375518i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.517579 | + | 0.896473i | −0.0231700 | + | 0.0401316i | −0.877378 | − | 0.479800i | \(-0.840709\pi\) |
0.854208 | + | 0.519932i | \(0.174043\pi\) | |||||||
\(500\) | 61.8018 | − | 5.98024i | 2.76386 | − | 0.267445i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.23714 | − | 25.6297i | −0.0552163 | − | 1.14391i | ||||
\(503\) | −19.7898 | −0.882382 | −0.441191 | − | 0.897413i | \(-0.645444\pi\) | ||||
−0.441191 | + | 0.897413i | \(0.645444\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 57.5425 | 2.56061 | ||||||||
\(506\) | 0.0547007 | + | 1.13323i | 0.00243174 | + | 0.0503782i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.82948 | − | 18.9065i | −0.0811701 | − | 0.838838i | ||||
\(509\) | 2.11849 | − | 3.66933i | 0.0939004 | − | 0.162640i | −0.815249 | − | 0.579111i | \(-0.803400\pi\) |
0.909149 | + | 0.416471i | \(0.136733\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 22.0199 | − | 31.5031i | 0.974104 | − | 1.39362i | ||||
\(512\) | 20.5288 | − | 9.51676i | 0.907253 | − | 0.420586i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −23.0715 | − | 11.8757i | −1.01764 | − | 0.523816i | ||||
\(515\) | −16.0394 | − | 27.7811i | −0.706781 | − | 1.22418i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 10.0963 | 0.444037 | ||||||||
\(518\) | −33.4442 | − | 1.27841i | −1.46945 | − | 0.0561703i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 6.73035 | − | 16.9045i | 0.295145 | − | 0.741310i | ||||
\(521\) | 33.6570 | − | 19.4319i | 1.47454 | − | 0.851326i | 0.474952 | − | 0.880012i | \(-0.342465\pi\) |
0.999588 | + | 0.0286855i | \(0.00913212\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.8181 | + | 8.55526i | 0.647952 | + | 0.374095i | 0.787671 | − | 0.616096i | \(-0.211287\pi\) |
−0.139719 | + | 0.990191i | \(0.544620\pi\) | |||||||
\(524\) | 24.8791 | + | 11.3239i | 1.08685 | + | 0.494688i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.14768 | − | 2.66926i | 0.180847 | − | 0.116385i | ||||
\(527\) | −6.39126 | − | 3.69000i | −0.278408 | − | 0.160739i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.3901 | − | 19.7282i | −0.495221 | − | 0.857747i | ||||
\(530\) | 0.445249 | + | 9.22419i | 0.0193404 | + | 0.400673i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −37.2510 | + | 0.373475i | −1.61503 | + | 0.0161922i | ||||
\(533\) | 8.18704i | 0.354620i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −30.0811 | − | 52.1019i | −1.30052 | − | 2.25256i | ||||
\(536\) | 13.0977 | + | 16.5902i | 0.565735 | + | 0.716589i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −11.2597 | − | 17.4960i | −0.485439 | − | 0.754308i | ||||
\(539\) | 11.7983 | + | 2.06023i | 0.508187 | + | 0.0887402i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −37.6652 | − | 21.7460i | −1.61935 | − | 0.934935i | −0.987087 | − | 0.160185i | \(-0.948791\pi\) |
−0.632268 | − | 0.774750i | \(-0.717876\pi\) | |||||||
\(542\) | 12.8818 | − | 25.0260i | 0.553320 | − | 1.07496i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −9.52494 | + | 9.13969i | −0.408379 | + | 0.391861i | ||||
\(545\) | − | 14.0971i | − | 0.603852i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.8290 | 0.463016 | 0.231508 | − | 0.972833i | \(-0.425634\pi\) | ||||
0.231508 | + | 0.972833i | \(0.425634\pi\) | |||||||
\(548\) | −13.9335 | − | 19.5146i | −0.595210 | − | 0.833623i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 13.7706 | − | 26.7527i | 0.587179 | − | 1.14074i | ||||
\(551\) | 11.7530 | − | 20.3567i | 0.500693 | − | 0.867226i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.44702 | + | 0.385356i | 0.189106 | + | 0.0163870i | ||||
\(554\) | −31.4510 | + | 20.2404i | −1.33622 | + | 0.859934i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.28081 | + | 13.2363i | 0.0543186 | + | 0.561346i | ||||
\(557\) | −7.04197 | + | 4.06568i | −0.298378 | + | 0.172269i | −0.641714 | − | 0.766944i | \(-0.721776\pi\) |
0.343336 | + | 0.939213i | \(0.388443\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.28082 | 0.223355 | ||||||||
\(560\) | −4.69687 | − | 43.9393i | −0.198479 | − | 1.85678i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 28.6522 | − | 1.38303i | 1.20862 | − | 0.0583397i | ||||
\(563\) | −19.6081 | + | 11.3207i | −0.826381 | + | 0.477111i | −0.852612 | − | 0.522545i | \(-0.824983\pi\) |
0.0262311 | + | 0.999656i | \(0.491649\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −22.3579 | + | 38.7251i | −0.940605 | + | 1.62918i | ||||
\(566\) | 7.83310 | − | 5.04103i | 0.329250 | − | 0.211890i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.42443 | + | 9.77541i | 0.0597676 | + | 0.410167i | ||||
\(569\) | −10.1485 | + | 17.5778i | −0.425449 | + | 0.736900i | −0.996462 | − | 0.0840413i | \(-0.973217\pi\) |
0.571013 | + | 0.820941i | \(0.306551\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −18.3819 | − | 31.8383i | −0.769257 | − | 1.33239i | −0.937967 | − | 0.346726i | \(-0.887293\pi\) |
0.168710 | − | 0.985666i | \(-0.446040\pi\) | |||||||
\(572\) | −3.06344 | − | 4.29051i | −0.128089 | − | 0.179395i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 9.27679 | + | 17.5869i | 0.387206 | + | 0.734062i | ||||
\(575\) | − | 5.83059i | − | 0.243153i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.39915 | − | 0.807801i | 0.0582475 | − | 0.0336292i | −0.470593 | − | 0.882350i | \(-0.655960\pi\) |
0.528841 | + | 0.848721i | \(0.322627\pi\) | |||||||
\(578\) | −7.47843 | + | 14.5287i | −0.311062 | + | 0.604313i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 25.3778 | + | 11.5509i | 1.05376 | + | 0.479625i | ||||
\(581\) | −3.05348 | − | 6.53409i | −0.126680 | − | 0.271080i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.31729 | + | 1.33789i | 0.0959723 | + | 0.0554097i | ||||
\(584\) | −32.2505 | + | 25.4613i | −1.33454 | + | 1.05359i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −18.2841 | + | 0.882567i | −0.755308 | + | 0.0364585i | ||||
\(587\) | 3.68747i | 0.152198i | 0.997100 | + | 0.0760991i | \(0.0242465\pi\) | ||||
−0.997100 | + | 0.0760991i | \(0.975753\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 22.2646i | 0.917396i | ||||||||
\(590\) | 1.73166 | + | 35.8747i | 0.0712914 | + | 1.47694i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 33.8411 | + | 11.6167i | 1.39086 | + | 0.477445i | ||||
\(593\) | −32.3781 | − | 18.6935i | −1.32961 | − | 0.767650i | −0.344370 | − | 0.938834i | \(-0.611908\pi\) |
−0.985239 | + | 0.171184i | \(0.945241\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 10.9144 | + | 23.3556i | 0.447447 | + | 0.957485i | ||||
\(596\) | −14.7791 | − | 6.72679i | −0.605374 | − | 0.275540i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.908322 | − | 0.467546i | −0.0371440 | − | 0.0191194i | ||||
\(599\) | 8.61435 | − | 4.97350i | 0.351973 | − | 0.203212i | −0.313581 | − | 0.949561i | \(-0.601529\pi\) |
0.665554 | + | 0.746350i | \(0.268195\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 35.9296i | 1.46560i | 0.680445 | + | 0.732799i | \(0.261786\pi\) | ||||
−0.680445 | + | 0.732799i | \(0.738214\pi\) | |||||||
\(602\) | 11.3439 | − | 5.98373i | 0.462343 | − | 0.243879i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.01188 | + | 1.43649i | −0.0818622 | + | 0.0584500i | ||||
\(605\) | 16.8536 | + | 29.1914i | 0.685198 | + | 1.18680i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 14.9355 | − | 25.8690i | 0.606212 | − | 1.04999i | −0.385646 | − | 0.922647i | \(-0.626022\pi\) |
0.991859 | − | 0.127344i | \(-0.0406451\pi\) | |||||||
\(608\) | 38.2471 | + | 11.0991i | 1.55112 | + | 0.450128i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 29.1419 | + | 45.2827i | 1.17992 | + | 1.83344i | ||||
\(611\) | −4.54557 | + | 7.87315i | −0.183894 | + | 0.318514i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −32.8160 | + | 18.9463i | −1.32542 | + | 0.765234i | −0.984588 | − | 0.174889i | \(-0.944043\pi\) |
−0.340836 | + | 0.940123i | \(0.610710\pi\) | |||||||
\(614\) | 0.809843 | + | 16.7775i | 0.0326826 | + | 0.677083i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −11.4423 | − | 5.74539i | −0.461023 | − | 0.231488i | ||||
\(617\) | −39.0332 | −1.57142 | −0.785709 | − | 0.618597i | \(-0.787702\pi\) | ||||
−0.785709 | + | 0.618597i | \(0.787702\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −21.5338 | + | 12.4325i | −0.865517 | + | 0.499706i | −0.865856 | − | 0.500294i | \(-0.833225\pi\) |
0.000339137 | 1.00000i | \(0.499892\pi\) | ||||||||
\(620\) | −26.2877 | + | 2.54372i | −1.05574 | + | 0.102158i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.05924 | − | 14.0769i | −0.363242 | − | 0.564431i | ||||
\(623\) | 5.59509 | + | 0.484842i | 0.224163 | + | 0.0194248i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −33.7275 | + | 58.4177i | −1.34910 | + | 2.33671i | ||||
\(626\) | −18.6403 | − | 9.59483i | −0.745017 | − | 0.383487i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −11.1635 | − | 15.6351i | −0.445473 | − | 0.623908i | ||||
\(629\) | −20.8735 | −0.832281 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 43.3823i | 1.72702i | 0.504330 | + | 0.863511i | \(0.331740\pi\) | ||||
−0.504330 | + | 0.863511i | \(0.668260\pi\) | |||||||
\(632\) | −4.43341 | − | 1.76512i | −0.176352 | − | 0.0702127i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 8.52980 | + | 4.39059i | 0.338762 | + | 0.174373i | ||||
\(635\) | 34.3436 | + | 19.8283i | 1.36289 | + | 0.786862i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.91837 | + | 8.27276i | −0.274116 | + | 0.327779i | ||||
\(638\) | 6.79368 | − | 4.37210i | 0.268964 | − | 0.173093i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −8.73493 | + | 46.4261i | −0.345278 | + | 1.83515i | ||||
\(641\) | 3.32559 | + | 5.76010i | 0.131353 | + | 0.227510i | 0.924198 | − | 0.381913i | \(-0.124735\pi\) |
−0.792845 | + | 0.609423i | \(0.791401\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 18.1066i | − | 0.714055i | −0.934094 | − | 0.357027i | \(-0.883790\pi\) | ||
0.934094 | − | 0.357027i | \(-0.116210\pi\) | |||||||
\(644\) | −2.48098 | + | 0.0248741i | −0.0977642 | + | 0.000980176i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −23.2066 | + | 1.12018i | −0.913053 | + | 0.0440728i | ||||
\(647\) | −24.6421 | − | 42.6815i | −0.968783 | − | 1.67798i | −0.699089 | − | 0.715035i | \(-0.746411\pi\) |
−0.269694 | − | 0.962946i | \(-0.586923\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 9.01239 | + | 5.20331i | 0.353767 | + | 0.204248i | ||||
\(650\) | 14.6620 | + | 22.7829i | 0.575092 | + | 0.893618i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 16.0811 | − | 35.3308i | 0.629784 | − | 1.38366i | ||||
\(653\) | 22.1087 | + | 12.7645i | 0.865181 | + | 0.499512i | 0.865744 | − | 0.500488i | \(-0.166846\pi\) |
−0.000563051 | 1.00000i | \(0.500179\pi\) | ||||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −49.4233 | + | 28.5345i | −1.93113 | + | 1.11494i | ||||
\(656\) | −4.07560 | − | 20.8621i | −0.159125 | − | 0.814527i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.843373 | + | 22.0632i | −0.0328781 | + | 0.860114i | ||||
\(659\) | 12.0942 | 0.471125 | 0.235562 | − | 0.971859i | \(-0.424307\pi\) | ||||
0.235562 | + | 0.971859i | \(0.424307\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.42541 | − | 9.39708i | −0.211024 | − | 0.365504i | 0.741011 | − | 0.671493i | \(-0.234346\pi\) |
−0.952035 | + | 0.305988i | \(0.901013\pi\) | |||||||
\(662\) | 3.07158 | − | 5.96730i | 0.119380 | − | 0.231926i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.11177 | + | 7.62976i | 0.0431451 | + | 0.296092i | ||||
\(665\) | 44.5573 | − | 63.7466i | 1.72786 | − | 2.47199i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.782767 | − | 1.35579i | 0.0303089 | − | 0.0524965i | ||||
\(668\) | 35.3314 | − | 3.41884i | 1.36701 | − | 0.132279i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −44.0784 | + | 2.12765i | −1.70290 | + | 0.0821984i | ||||
\(671\) | 15.6026 | 0.602333 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −48.1931 | −1.85771 | −0.928854 | − | 0.370446i | \(-0.879205\pi\) | ||||
−0.928854 | + | 0.370446i | \(0.879205\pi\) | |||||||
\(674\) | 23.3318 | − | 1.12622i | 0.898708 | − | 0.0433804i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −21.1542 | + | 2.04698i | −0.813621 | + | 0.0787300i | ||||
\(677\) | −2.56093 | + | 4.43567i | −0.0984246 | + | 0.170476i | −0.911033 | − | 0.412334i | \(-0.864714\pi\) |
0.812608 | + | 0.582810i | \(0.198047\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.18651 | − | 4.67888i | −0.0839107 | − | 0.179559i | ||||
\(680\) | −3.97394 | − | 27.2719i | −0.152394 | − | 1.04583i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.50218 | + | 6.80385i | −0.134105 | + | 0.260533i | ||||
\(683\) | 11.7191 | + | 20.2980i | 0.448418 | + | 0.776682i | 0.998283 | − | 0.0585709i | \(-0.0186544\pi\) |
−0.549866 | + | 0.835253i | \(0.685321\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 50.0612 | 1.91274 | ||||||||
\(686\) | −5.48768 | + | 25.6103i | −0.209521 | + | 0.977804i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −13.4565 | + | 2.62885i | −0.513024 | + | 0.100224i | ||||
\(689\) | −2.08658 | + | 1.20468i | −0.0794922 | + | 0.0458948i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.9534 | + | 6.90129i | 0.454728 | + | 0.262537i | 0.709825 | − | 0.704378i | \(-0.248774\pi\) |
−0.255097 | + | 0.966915i | \(0.582107\pi\) | |||||||
\(692\) | −5.91694 | + | 12.9998i | −0.224928 | + | 0.494177i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −14.6177 | − | 22.7139i | −0.554879 | − | 0.862209i | ||||
\(695\) | −24.0439 | − | 13.8817i | −0.912035 | − | 0.526564i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.20044 | + | 10.7395i | 0.234859 | + | 0.406787i | ||||
\(698\) | −3.52813 | + | 0.170302i | −0.133542 | + | 0.00644601i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 57.3115 | + | 32.3271i | 2.16617 | + | 1.22185i | ||||
\(701\) | − | 11.8718i | − | 0.448393i | −0.974544 | − | 0.224196i | \(-0.928024\pi\) | ||
0.974544 | − | 0.224196i | \(-0.0719757\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 31.4865 | + | 54.5362i | 1.18754 | + | 2.05687i | ||||
\(704\) | 9.94207 | + | 9.40798i | 0.374706 | + | 0.354577i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 30.6322 | − | 19.7135i | 1.15286 | − | 0.741927i | ||||
\(707\) | 29.8843 | + | 20.8883i | 1.12391 | + | 0.785587i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 27.1241 | + | 15.6601i | 1.01867 | + | 0.588127i | 0.913717 | − | 0.406350i | \(-0.133199\pi\) |
0.104949 | + | 0.994478i | \(0.466532\pi\) | |||||||
\(710\) | −18.3376 | − | 9.43900i | −0.688197 | − | 0.354239i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.57798 | − | 2.22082i | −0.209043 | − | 0.0832286i | ||||
\(713\) | 1.48286i | 0.0555335i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 11.0065 | 0.411621 | ||||||||
\(716\) | 27.7948 | + | 38.9280i | 1.03874 | + | 1.45481i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 41.7717 | + | 21.5014i | 1.55891 | + | 0.802424i | ||||
\(719\) | −12.6273 | + | 21.8712i | −0.470920 | + | 0.815657i | −0.999447 | − | 0.0332594i | \(-0.989411\pi\) |
0.528527 | + | 0.848917i | \(0.322745\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.75479 | − | 20.2503i | 0.0653518 | − | 0.754161i | ||||
\(722\) | 23.3912 | + | 36.3469i | 0.870530 | + | 1.35269i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 40.9232 | − | 3.95993i | 1.52090 | − | 0.147170i | ||||
\(725\) | −35.9563 | + | 20.7594i | −1.33538 | + | 0.770984i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 17.9342 | 0.665144 | 0.332572 | − | 0.943078i | \(-0.392084\pi\) | ||||
0.332572 | + | 0.943078i | \(0.392084\pi\) | |||||||
\(728\) | 9.63180 | − | 6.33604i | 0.356978 | − | 0.234829i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −4.13604 | − | 85.6860i | −0.153082 | − | 3.17138i | ||||
\(731\) | 6.92720 | − | 3.99942i | 0.256212 | − | 0.147924i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.16779 | + | 10.6829i | −0.227813 | + | 0.394583i | −0.957160 | − | 0.289561i | \(-0.906491\pi\) |
0.729347 | + | 0.684144i | \(0.239824\pi\) | |||||||
\(734\) | −3.33048 | − | 5.17513i | −0.122930 | − | 0.191018i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.54732 | + | 0.739219i | 0.0938954 | + | 0.0272480i | ||||
\(737\) | −6.39319 | + | 11.0733i | −0.235496 | + | 0.407891i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −21.7463 | − | 37.6656i | −0.799949 | − | 1.38555i | −0.919648 | − | 0.392743i | \(-0.871526\pi\) |
0.119699 | − | 0.992810i | \(-0.461807\pi\) | |||||||
\(740\) | −60.7932 | + | 43.4066i | −2.23480 | + | 1.59566i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.11721 | + | 4.95214i | −0.114436 | + | 0.181799i | ||||
\(743\) | 32.8397i | 1.20477i | 0.798205 | + | 0.602386i | \(0.205783\pi\) | ||||
−0.798205 | + | 0.602386i | \(0.794217\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 29.3591 | − | 16.9505i | 1.07563 | − | 0.621018i | ||||
\(746\) | −16.1083 | − | 8.29150i | −0.589766 | − | 0.303574i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −7.26793 | − | 3.30805i | −0.265742 | − | 0.120954i | ||||
\(749\) | 3.29101 | − | 37.9784i | 0.120251 | − | 1.38770i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.62670 | + | 4.40328i | 0.278302 | + | 0.160678i | 0.632655 | − | 0.774434i | \(-0.281965\pi\) |
−0.354352 | + | 0.935112i | \(0.615299\pi\) | |||||||
\(752\) | 7.66360 | − | 22.3251i | 0.279463 | − | 0.814111i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.350734 | + | 7.26613i | 0.0127730 | + | 0.264617i | ||||
\(755\) | − | 5.16112i | − | 0.187832i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 16.9328i | − | 0.615433i | −0.951478 | − | 0.307717i | \(-0.900435\pi\) | ||
0.951478 | − | 0.307717i | \(-0.0995649\pi\) | |||||||
\(758\) | −34.0157 | + | 1.64193i | −1.23551 | + | 0.0596375i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −65.2589 | + | 51.5208i | −2.36719 | + | 1.86886i | ||||
\(761\) | −10.9108 | − | 6.29937i | −0.395517 | − | 0.228352i | 0.289031 | − | 0.957320i | \(-0.406667\pi\) |
−0.684548 | + | 0.728968i | \(0.740000\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.11734 | − | 7.32121i | 0.185260 | − | 0.265045i | ||||
\(764\) | 3.66832 | + | 1.66966i | 0.132715 | + | 0.0604063i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 11.3685 | − | 22.0860i | 0.410759 | − | 0.798000i | ||||
\(767\) | −8.11510 | + | 4.68526i | −0.293019 | + | 0.169175i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 16.0445i | − | 0.578581i | −0.957241 | − | 0.289291i | \(-0.906581\pi\) | ||
0.957241 | − | 0.289291i | \(-0.0934194\pi\) | |||||||
\(770\) | 23.6435 | − | 12.4716i | 0.852053 | − | 0.449444i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.14978 | + | 5.81197i | 0.149354 | + | 0.209177i | ||||
\(773\) | 9.15671 | + | 15.8599i | 0.329344 | + | 0.570440i | 0.982382 | − | 0.186885i | \(-0.0598391\pi\) |
−0.653038 | + | 0.757325i | \(0.726506\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 19.6631 | − | 34.0574i | 0.706318 | − | 1.22338i | ||||
\(776\) | 0.796109 | + | 5.46346i | 0.0285787 | + | 0.196127i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −32.8226 | + | 21.1231i | −1.17675 | + | 0.757301i | ||||
\(779\) | 18.7060 | − | 32.3998i | 0.670213 | − | 1.16084i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.17518 | + | 2.98789i | −0.185183 | + | 0.106915i | ||||
\(782\) | −1.54560 | + | 0.0746057i | −0.0552706 | + | 0.00266789i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 13.5110 | − | 24.5245i | 0.482536 | − | 0.875876i | ||||
\(785\) | 40.1090 | 1.43155 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.88976 | − | 2.24576i | 0.138655 | − | 0.0800526i | −0.429068 | − | 0.903272i | \(-0.641158\pi\) |
0.567723 | + | 0.823220i | \(0.307825\pi\) | |||||||
\(788\) | 3.37860 | + | 34.9155i | 0.120358 | + | 1.24381i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 8.37763 | − | 5.39146i | 0.298063 | − | 0.191820i | ||||
\(791\) | −25.6689 | + | 11.9955i | −0.912680 | + | 0.426510i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.02460 | + | 12.1670i | −0.249451 | + | 0.432062i | ||||
\(794\) | 11.2082 | − | 21.7746i | 0.397763 | − | 0.772752i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −20.5783 | − | 28.8209i | −0.729378 | − | 1.02153i | ||||
\(797\) | 31.7698 | 1.12534 | 0.562672 | − | 0.826680i | \(-0.309773\pi\) | ||||
0.562672 | + | 0.826680i | \(0.309773\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 13.7703i | 0.487159i | ||||||||
\(800\) | −48.7031 | − | 50.7560i | −1.72191 | − | 1.79450i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 5.01757 | − | 9.74786i | 0.177177 | − | 0.344209i | ||||
\(803\) | −21.5259 | − | 12.4280i | −0.759634 | − | 0.438575i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.96759 | − | 4.24563i | 0.104594 | − | 0.149639i | ||||
\(806\) | −3.72890 | − | 5.79423i | −0.131345 | − | 0.204093i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −24.1528 | − | 30.5932i | −0.849694 | − | 1.07627i | ||||
\(809\) | 12.5784 | + | 21.7864i | 0.442232 | + | 0.765969i | 0.997855 | − | 0.0654659i | \(-0.0208534\pi\) |
−0.555623 | + | 0.831435i | \(0.687520\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 48.0042i | 1.68565i | 0.538184 | + | 0.842827i | \(0.319110\pi\) | ||||
−0.538184 | + | 0.842827i | \(0.680890\pi\) | |||||||
\(812\) | 8.98672 | + | 15.2112i | 0.315372 | + | 0.533809i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.04352 | + | 21.6185i | 0.0365753 | + | 0.757728i | ||||
\(815\) | 40.5219 | + | 70.1859i | 1.41942 | + | 2.45851i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −20.8985 | − | 12.0658i | −0.731148 | − | 0.422128i | ||||
\(818\) | −5.51607 | + | 3.54989i | −0.192865 | + | 0.124119i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 40.3914 | + | 18.3844i | 1.41053 | + | 0.642011i | ||||
\(821\) | 14.5854 | + | 8.42089i | 0.509034 | + | 0.293891i | 0.732437 | − | 0.680835i | \(-0.238383\pi\) |
−0.223402 | + | 0.974726i | \(0.571716\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 17.1163 | − | 9.88209i | 0.596636 | − | 0.344468i | −0.171081 | − | 0.985257i | \(-0.554726\pi\) |
0.767717 | + | 0.640789i | \(0.221393\pi\) | |||||||
\(824\) | −8.03780 | + | 20.1884i | −0.280010 | + | 0.703295i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −12.1234 | + | 19.2598i | −0.421829 | + | 0.670135i | ||||
\(827\) | −49.1702 | −1.70981 | −0.854907 | − | 0.518781i | \(-0.826386\pi\) | ||||
−0.854907 | + | 0.518781i | \(0.826386\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −7.96007 | − | 13.7872i | −0.276465 | − | 0.478851i | 0.694039 | − | 0.719937i | \(-0.255829\pi\) |
−0.970504 | + | 0.241087i | \(0.922496\pi\) | |||||||
\(830\) | −14.3126 | − | 7.36719i | −0.496796 | − | 0.255719i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −11.8125 | + | 3.51719i | −0.409524 | + | 0.121937i | ||||
\(833\) | −2.80992 | + | 16.0915i | −0.0973580 | + | 0.557539i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −37.0541 | + | 64.1795i | −1.28231 | + | 2.22102i | ||||
\(836\) | 2.32032 | + | 23.9789i | 0.0802498 | + | 0.829328i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.971071 | − | 20.1176i | −0.0335451 | − | 0.694951i | ||||
\(839\) | 38.3305 | 1.32332 | 0.661658 | − | 0.749806i | \(-0.269853\pi\) | ||||
0.661658 | + | 0.749806i | \(0.269853\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.8521 | 0.615589 | ||||||||
\(842\) | −1.36455 | − | 28.2692i | −0.0470254 | − | 0.974221i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −8.42166 | + | 0.814921i | −0.289886 | + | 0.0280507i | ||||
\(845\) | 22.1856 | − | 38.4266i | 0.763207 | − | 1.32191i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.84387 | + | 21.2783i | −0.0633561 | + | 0.731131i | ||||
\(848\) | 4.71727 | − | 4.10848i | 0.161992 | − | 0.141086i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 36.4877 | + | 18.7815i | 1.25152 | + | 0.644202i | ||||
\(851\) | 2.09705 | + | 3.63220i | 0.0718860 | + | 0.124510i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 22.5158 | 0.770927 | 0.385463 | − | 0.922723i | \(-0.374042\pi\) | ||||
0.385463 | + | 0.922723i | \(0.374042\pi\) | |||||||
\(854\) | −1.30333 | + | 34.0959i | −0.0445989 | + | 1.16674i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −15.0745 | + | 37.8622i | −0.515234 | + | 1.29410i | ||||
\(857\) | 11.1913 | − | 6.46129i | 0.382287 | − | 0.220713i | −0.296526 | − | 0.955025i | \(-0.595828\pi\) |
0.678813 | + | 0.734311i | \(0.262495\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 20.1418 | + | 11.6289i | 0.687229 | + | 0.396772i | 0.802573 | − | 0.596554i | \(-0.203464\pi\) |
−0.115344 | + | 0.993326i | \(0.536797\pi\) | |||||||
\(860\) | 11.8583 | − | 26.0533i | 0.404366 | − | 0.888410i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 16.6293 | − | 10.7019i | 0.566397 | − | 0.364508i | ||||
\(863\) | −7.69412 | − | 4.44220i | −0.261911 | − | 0.151214i | 0.363295 | − | 0.931674i | \(-0.381652\pi\) |
−0.625206 | + | 0.780460i | \(0.714985\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −14.9098 | − | 25.8245i | −0.506947 | − | 0.878059i | ||||
\(866\) | 0.0671539 | + | 1.39122i | 0.00228198 | + | 0.0472756i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −14.5757 | − | 8.22154i | −0.494731 | − | 0.279057i | ||||
\(869\) | − | 2.88660i | − | 0.0979212i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.75667 | − | 9.97084i | −0.195057 | − | 0.337849i | ||||
\(872\) | −7.49489 | + | 5.91709i | −0.253809 | + | 0.200378i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.52637 | + | 3.92565i | 0.0854558 | + | 0.132787i | ||||
\(875\) | −74.4135 | + | 34.7746i | −2.51564 | + | 1.17560i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 40.2134 | + | 23.2172i | 1.35791 | + | 0.783990i | 0.989342 | − | 0.145610i | \(-0.0465145\pi\) |
0.368569 | + | 0.929600i | \(0.379848\pi\) | |||||||
\(878\) | −4.44901 | + | 8.64329i | −0.150147 | + | 0.291697i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −28.0466 | + | 5.47916i | −0.945452 | + | 0.184703i | ||||
\(881\) | 27.1901i | 0.916058i | 0.888937 | + | 0.458029i | \(0.151444\pi\) | ||||
−0.888937 | + | 0.458029i | \(0.848556\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −21.7975 | −0.733543 | −0.366772 | − | 0.930311i | \(-0.619537\pi\) | ||||
−0.366772 | + | 0.930311i | \(0.619537\pi\) | |||||||
\(884\) | 5.85178 | − | 4.17820i | 0.196817 | − | 0.140528i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.20685 | − | 4.28735i | 0.0741406 | − | 0.144036i | ||||
\(887\) | −21.1661 | + | 36.6607i | −0.710688 | + | 1.23095i | 0.253911 | + | 0.967227i | \(0.418283\pi\) |
−0.964599 | + | 0.263720i | \(0.915051\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 10.6383 | + | 22.7646i | 0.356796 | + | 0.763502i | ||||
\(890\) | 10.5405 | − | 6.78336i | 0.353317 | − | 0.227379i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −2.85730 | + | 0.276486i | −0.0956694 | + | 0.00925744i | ||||
\(893\) | 35.9777 | − | 20.7717i | 1.20395 | − | 0.695099i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −99.8629 | −3.33805 | ||||||||
\(896\) | −21.3894 | + | 20.9402i | −0.714571 | + | 0.699563i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −46.6040 | + | 2.24956i | −1.55520 | + | 0.0750689i | ||||
\(899\) | 9.14454 | − | 5.27960i | 0.304987 | − | 0.176085i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.82473 | + | 3.16053i | −0.0607906 | + | 0.105292i | ||||
\(902\) | 10.8128 | − | 6.95864i | 0.360027 | − | 0.231697i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 29.9732 | − | 4.36755i | 0.996892 | − | 0.145262i | ||||
\(905\) | −42.9186 | + | 74.3371i | −1.42666 | + | 2.47105i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 22.5605 | + | 39.0760i | 0.749109 | + | 1.29750i | 0.948250 | + | 0.317525i | \(0.102852\pi\) |
−0.199141 | + | 0.979971i | \(0.563815\pi\) | |||||||
\(908\) | −26.0663 | + | 18.6115i | −0.865041 | + | 0.617643i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.919403 | + | 24.0522i | −0.0304779 | + | 0.797322i | ||||
\(911\) | − | 36.2714i | − | 1.20173i | −0.799352 | − | 0.600863i | \(-0.794824\pi\) | ||
0.799352 | − | 0.600863i | \(-0.205176\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4.03926 | + | 2.33207i | −0.133680 | + | 0.0771801i | ||||
\(914\) | 14.7860 | − | 28.7254i | 0.489077 | − | 0.950152i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −13.4636 | + | 29.5801i | −0.444849 | + | 0.977352i | ||||
\(917\) | −36.0258 | − | 3.12181i | −1.18968 | − | 0.103091i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 37.7905 | + | 21.8183i | 1.24659 | + | 0.719721i | 0.970428 | − | 0.241390i | \(-0.0776032\pi\) |
0.276164 | + | 0.961110i | \(0.410937\pi\) | |||||||
\(920\) | −4.34635 | + | 3.43137i | −0.143295 | + | 0.113129i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 22.4235 | − | 1.08238i | 0.738478 | − | 0.0356461i | ||||
\(923\) | − | 5.38082i | − | 0.177112i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 111.230i | − | 3.65721i | ||||||
\(926\) | 0.185501 | + | 3.84302i | 0.00609595 | + | 0.126289i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.51089 | − | 18.3408i | −0.148077 | − | 0.602067i | ||||
\(929\) | −10.2075 | − | 5.89332i | −0.334898 | − | 0.193354i | 0.323115 | − | 0.946360i | \(-0.395270\pi\) |
−0.658014 | + | 0.753006i | \(0.728603\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 46.2809 | − | 16.9317i | 1.51680 | − | 0.554913i | ||||
\(932\) | 9.82724 | − | 21.5909i | 0.321902 | − | 0.707233i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −30.1604 | − | 15.5247i | −0.986880 | − | 0.507982i | ||||
\(935\) | 14.4380 | − | 8.33578i | 0.472173 | − | 0.272609i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 35.0529i | − | 1.14513i | −0.819860 | − | 0.572565i | \(-0.805949\pi\) | ||
0.819860 | − | 0.572565i | \(-0.194051\pi\) | |||||||
\(938\) | −23.6641 | − | 14.8958i | −0.772661 | − | 0.486365i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 28.6355 | + | 40.1054i | 0.933986 | + | 1.30809i | ||||
\(941\) | −14.2985 | − | 24.7658i | −0.466119 | − | 0.807342i | 0.533132 | − | 0.846032i | \(-0.321015\pi\) |
−0.999251 | + | 0.0386903i | \(0.987681\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.24585 | − | 2.15788i | 0.0405705 | − | 0.0702702i | ||||
\(944\) | 18.3464 | − | 15.9787i | 0.597124 | − | 0.520061i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.48847 | − | 6.97449i | −0.145933 | − | 0.226760i | ||||
\(947\) | −25.7444 | + | 44.5906i | −0.836580 | + | 1.44900i | 0.0561576 | + | 0.998422i | \(0.482115\pi\) |
−0.892738 | + | 0.450577i | \(0.851218\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 19.3828 | − | 11.1906i | 0.629191 | − | 0.363264i | ||||
\(950\) | −5.96915 | − | 123.662i | −0.193665 | − | 4.01213i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 7.83608 | − | 15.6060i | 0.253969 | − | 0.505794i | ||||
\(953\) | 11.8761 | 0.384706 | 0.192353 | − | 0.981326i | \(-0.438388\pi\) | ||||
0.192353 | + | 0.981326i | \(0.438388\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.28724 | + | 4.20729i | −0.235810 | + | 0.136145i | ||||
\(956\) | 0.163078 | + | 1.68530i | 0.00527431 | + | 0.0545064i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −15.1155 | − | 23.4875i | −0.488360 | − | 0.758848i | ||||
\(959\) | 25.9989 | + | 18.1726i | 0.839548 | + | 0.586823i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.4992 | − | 18.1852i | 0.338684 | − | 0.586618i | ||||
\(962\) | −17.3280 | − | 8.91932i | −0.558676 | − | 0.287571i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.43109 | + | 1.02180i | −0.0460922 | + | 0.0329101i | ||||
\(965\) | −14.9096 | −0.479956 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 59.2193i | 1.90437i | 0.305530 | + | 0.952183i | \(0.401167\pi\) | ||||
−0.305530 | + | 0.952183i | \(0.598833\pi\) | |||||||
\(968\) | 8.44583 | − | 21.2132i | 0.271459 | − | 0.681818i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −10.2488 | − | 5.27544i | −0.329070 | − | 0.169384i | ||||
\(971\) | 4.53638 | + | 2.61908i | 0.145579 | + | 0.0840503i | 0.571020 | − | 0.820936i | \(-0.306548\pi\) |
−0.425441 | + | 0.904986i | \(0.639881\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −7.44782 | − | 15.9375i | −0.238766 | − | 0.510931i | ||||
\(974\) | 44.1396 | − | 28.4062i | 1.41432 | − | 0.910194i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 11.8431 | − | 34.5006i | 0.379089 | − | 1.10434i | ||||
\(977\) | −26.6049 | − | 46.0810i | −0.851165 | − | 1.47426i | −0.880158 | − | 0.474682i | \(-0.842563\pi\) |
0.0289924 | − | 0.999580i | \(-0.490770\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 3.63183i | − | 0.116074i | ||||||
\(980\) | 25.2787 | + | 52.7092i | 0.807498 | + | 1.68373i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 29.0630 | − | 1.40286i | 0.927438 | − | 0.0447672i | ||||
\(983\) | −13.9737 | − | 24.2032i | −0.445693 | − | 0.771963i | 0.552407 | − | 0.833574i | \(-0.313709\pi\) |
−0.998100 | + | 0.0616113i | \(0.980376\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −63.4241 | − | 36.6179i | −2.02086 | − | 1.16674i | ||||
\(986\) | 5.96307 | + | 9.26583i | 0.189903 | + | 0.295084i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −19.7434 | − | 8.98637i | −0.628123 | − | 0.285894i | ||||
\(989\) | −1.39188 | − | 0.803601i | −0.0442592 | − | 0.0255530i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −18.7980 | + | 10.8530i | −0.597139 | + | 0.344758i | −0.767915 | − | 0.640552i | \(-0.778706\pi\) |
0.170776 | + | 0.985310i | \(0.445372\pi\) | |||||||
\(992\) | 12.3864 | + | 12.9085i | 0.393267 | + | 0.409844i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −6.09705 | − | 11.5587i | −0.193387 | − | 0.366621i | ||||
\(995\) | 73.9349 | 2.34389 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 16.8274 | + | 29.1458i | 0.532928 | + | 0.923058i | 0.999261 | + | 0.0384485i | \(0.0122416\pi\) |
−0.466333 | + | 0.884609i | \(0.654425\pi\) | |||||||
\(998\) | −0.669990 | + | 1.30162i | −0.0212082 | + | 0.0412021i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 504.2.bk.c.19.16 | 32 | ||
3.2 | odd | 2 | 168.2.t.a.19.1 | ✓ | 32 | ||
4.3 | odd | 2 | 2016.2.bs.c.271.1 | 32 | |||
7.3 | odd | 6 | inner | 504.2.bk.c.451.5 | 32 | ||
8.3 | odd | 2 | inner | 504.2.bk.c.19.5 | 32 | ||
8.5 | even | 2 | 2016.2.bs.c.271.16 | 32 | |||
12.11 | even | 2 | 672.2.bb.a.271.8 | 32 | |||
21.2 | odd | 6 | 1176.2.p.a.979.20 | 32 | |||
21.5 | even | 6 | 1176.2.p.a.979.19 | 32 | |||
21.17 | even | 6 | 168.2.t.a.115.12 | yes | 32 | ||
24.5 | odd | 2 | 672.2.bb.a.271.1 | 32 | |||
24.11 | even | 2 | 168.2.t.a.19.12 | yes | 32 | ||
28.3 | even | 6 | 2016.2.bs.c.1711.16 | 32 | |||
56.3 | even | 6 | inner | 504.2.bk.c.451.16 | 32 | ||
56.45 | odd | 6 | 2016.2.bs.c.1711.1 | 32 | |||
84.23 | even | 6 | 4704.2.p.a.3919.5 | 32 | |||
84.47 | odd | 6 | 4704.2.p.a.3919.24 | 32 | |||
84.59 | odd | 6 | 672.2.bb.a.367.1 | 32 | |||
168.5 | even | 6 | 4704.2.p.a.3919.6 | 32 | |||
168.59 | odd | 6 | 168.2.t.a.115.1 | yes | 32 | ||
168.101 | even | 6 | 672.2.bb.a.367.8 | 32 | |||
168.107 | even | 6 | 1176.2.p.a.979.17 | 32 | |||
168.131 | odd | 6 | 1176.2.p.a.979.18 | 32 | |||
168.149 | odd | 6 | 4704.2.p.a.3919.23 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.t.a.19.1 | ✓ | 32 | 3.2 | odd | 2 | ||
168.2.t.a.19.12 | yes | 32 | 24.11 | even | 2 | ||
168.2.t.a.115.1 | yes | 32 | 168.59 | odd | 6 | ||
168.2.t.a.115.12 | yes | 32 | 21.17 | even | 6 | ||
504.2.bk.c.19.5 | 32 | 8.3 | odd | 2 | inner | ||
504.2.bk.c.19.16 | 32 | 1.1 | even | 1 | trivial | ||
504.2.bk.c.451.5 | 32 | 7.3 | odd | 6 | inner | ||
504.2.bk.c.451.16 | 32 | 56.3 | even | 6 | inner | ||
672.2.bb.a.271.1 | 32 | 24.5 | odd | 2 | |||
672.2.bb.a.271.8 | 32 | 12.11 | even | 2 | |||
672.2.bb.a.367.1 | 32 | 84.59 | odd | 6 | |||
672.2.bb.a.367.8 | 32 | 168.101 | even | 6 | |||
1176.2.p.a.979.17 | 32 | 168.107 | even | 6 | |||
1176.2.p.a.979.18 | 32 | 168.131 | odd | 6 | |||
1176.2.p.a.979.19 | 32 | 21.5 | even | 6 | |||
1176.2.p.a.979.20 | 32 | 21.2 | odd | 6 | |||
2016.2.bs.c.271.1 | 32 | 4.3 | odd | 2 | |||
2016.2.bs.c.271.16 | 32 | 8.5 | even | 2 | |||
2016.2.bs.c.1711.1 | 32 | 56.45 | odd | 6 | |||
2016.2.bs.c.1711.16 | 32 | 28.3 | even | 6 | |||
4704.2.p.a.3919.5 | 32 | 84.23 | even | 6 | |||
4704.2.p.a.3919.6 | 32 | 168.5 | even | 6 | |||
4704.2.p.a.3919.23 | 32 | 168.149 | odd | 6 | |||
4704.2.p.a.3919.24 | 32 | 84.47 | odd | 6 |