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 | 19.5 | ||
Character | \(\chi\) | \(=\) | 504.19 |
Dual form | 504.2.bk.c.451.5 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.647235 | − | 1.25741i | −0.457664 | − | 0.889125i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.16217 | + | 1.62768i | −0.581087 | + | 0.813842i | ||||
\(5\) | 2.08776 | − | 3.61611i | 0.933677 | − | 1.61718i | 0.156700 | − | 0.987646i | \(-0.449915\pi\) |
0.776977 | − | 0.629529i | \(-0.216752\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.39694 | − | 1.12013i | 0.905958 | − | 0.423368i | ||||
\(8\) | 2.79887 | + | 0.407838i | 0.989550 | + | 0.144192i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −5.89822 | − | 0.284706i | −1.86518 | − | 0.0900318i | ||||
\(11\) | 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 | \(-0.431466\pi\) | ||||
0.213646 | + | 0.976911i | \(0.431466\pi\) | |||||||
\(14\) | −2.95984 | − | 2.28896i | −0.791052 | − | 0.611749i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.29871 | − | 3.78330i | −0.324676 | − | 0.945825i | ||||
\(17\) | −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 | 0.457067 | − | 0.889432i | \(-0.348900\pi\) |
−0.541737 | + | 0.840548i | \(0.682233\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −6.21752 | − | 10.7691i | −1.24350 | − | 2.15381i | ||||
\(26\) | −0.997145 | − | 1.93720i | −0.195556 | − | 0.379916i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.962447 | + | 5.20324i | −0.181885 | + | 0.983320i | ||||
\(29\) | 3.33885i | 0.620009i | 0.950735 | + | 0.310005i | \(0.100331\pi\) | ||||
−0.950735 | + | 0.310005i | \(0.899669\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.58126 | − | 2.73883i | −0.284003 | − | 0.491908i | 0.688364 | − | 0.725366i | \(-0.258329\pi\) |
−0.972367 | + | 0.233458i | \(0.924996\pi\) | |||||||
\(32\) | −3.91660 | + | 4.08169i | −0.692364 | + | 0.721548i | ||||
\(33\) | 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 | −0.297865 | − | 0.954608i | \(-0.596275\pi\) |
−0.975647 | + | 0.219345i | \(0.929608\pi\) | |||||||
\(38\) | 0.480026 | − | 9.94467i | 0.0778705 | − | 1.61324i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 7.31817 | − | 9.26956i | 1.15710 | − | 1.46565i | ||||
\(41\) | − | 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 | \(0.584171\pi\) | |||||||
\(44\) | −3.40603 | − | 0.329584i | −0.513479 | − | 0.0496867i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.0319706 | + | 0.662331i | −0.00471380 | + | 0.0976554i | ||||
\(47\) | −2.95047 | + | 5.11037i | −0.430371 | + | 0.745424i | −0.996905 | − | 0.0786139i | \(-0.974951\pi\) |
0.566534 | + | 0.824038i | \(0.308284\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.49063 | − | 5.36975i | 0.641519 | − | 0.767107i | ||||
\(50\) | −9.51696 | + | 14.7881i | −1.34590 | + | 2.09135i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.79047 | + | 2.50765i | −0.248294 | + | 0.347748i | ||||
\(53\) | −1.35437 | + | 0.781947i | −0.186037 | + | 0.107409i | −0.590126 | − | 0.807311i | \(-0.700922\pi\) |
0.404089 | + | 0.914720i | \(0.367589\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.14421 | 0.963325 | ||||||||
\(56\) | 7.16555 | − | 2.15753i | 0.957537 | − | 0.288311i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.19831 | − | 2.16102i | 0.551266 | − | 0.283756i | ||||
\(59\) | 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 | \(0.365100\pi\) |
−0.995024 | + | 0.0996311i | \(0.968234\pi\) | |||||||
\(62\) | −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 | \(0.682437\pi\) | |||||||
\(68\) | 0.449517 | − | 4.64545i | 0.0545119 | − | 0.563344i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −14.4566 | + | 5.92433i | −1.72789 | + | 0.708093i | ||||
\(71\) | − | 3.49263i | − | 0.414499i | −0.978288 | − | 0.207249i | \(-0.933549\pi\) | ||
0.978288 | − | 0.207249i | \(-0.0664512\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.5811 | + | 7.26372i | −1.47251 | + | 0.850154i | −0.999522 | − | 0.0309152i | \(-0.990158\pi\) |
−0.472988 | + | 0.881069i | \(0.656824\pi\) | |||||||
\(74\) | −0.609899 | + | 12.6352i | −0.0708993 | + | 1.46882i | ||||
\(75\) | 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 | 0.579935 | − | 0.814662i | \(-0.303078\pi\) |
−0.415551 | + | 0.909570i | \(0.636411\pi\) | |||||||
\(80\) | −16.3922 | − | 3.20237i | −1.83271 | − | 0.358036i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.68203 | + | 3.43948i | −0.737907 | + | 0.379827i | ||||
\(83\) | 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 | ||||||||
\(86\) | 2.21854 | + | 4.31005i | 0.239231 | + | 0.464765i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.79008 | + | 4.49611i | 0.190823 | + | 0.479287i | ||||
\(89\) | −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 | ||||||||
\(94\) | 8.33550 | + | 0.402352i | 0.859741 | + | 0.0414995i | ||||
\(95\) | 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 | \(0.968404\pi\) | |||||||
\(98\) | −9.65849 | − | 2.17109i | −0.975655 | − | 0.219313i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 24.7545 | + | 2.39536i | 2.47545 | + | 0.239536i | ||||
\(101\) | 6.89045 | + | 11.9346i | 0.685625 | + | 1.18754i | 0.973240 | + | 0.229792i | \(0.0738044\pi\) |
−0.287615 | + | 0.957746i | \(0.592862\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.84129 | − | 6.65331i | 0.378494 | − | 0.655570i | −0.612350 | − | 0.790587i | \(-0.709776\pi\) |
0.990843 | + | 0.135017i | \(0.0431089\pi\) | |||||||
\(104\) | 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 | −0.353396 | − | 0.935474i | \(-0.614973\pi\) |
0.633446 | + | 0.773787i | \(0.281640\pi\) | |||||||
\(110\) | −4.62398 | − | 8.98322i | −0.440879 | − | 0.856516i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −7.35069 | − | 7.61363i | −0.694575 | − | 0.719420i | ||||
\(113\) | 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 | ||||
\(116\) | −5.43459 | − | 3.88032i | −0.504589 | − | 0.360279i | ||||
\(117\) | 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 | ||||
\(122\) | 12.8815 | + | 0.621785i | 1.16623 | + | 0.0562937i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.29565 | + | 0.609198i | 0.565366 | + | 0.0547076i | ||||
\(125\) | −31.0452 | −2.77677 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.49738i | 0.842757i | 0.906885 | + | 0.421378i | \(0.138454\pi\) | ||||
−0.906885 | + | 0.421378i | \(0.861546\pi\) | |||||||
\(128\) | −2.09193 | − | 11.1186i | −0.184903 | − | 0.982757i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −9.08693 | − | 0.438624i | −0.796977 | − | 0.0384699i | ||||
\(131\) | 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 | ||||||||
\(136\) | −6.13220 | + | 2.44147i | −0.525832 | + | 0.209355i | ||||
\(137\) | −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 | \(0.909007\pi\) | |||||||
\(140\) | 16.8061 | + | 14.3435i | 1.42038 | + | 1.21224i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −4.39168 | + | 2.26055i | −0.368541 | + | 0.189701i | ||||
\(143\) | 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 | 0.759550 | − | 0.650448i | \(-0.225419\pi\) |
−0.183530 | + | 0.983014i | \(0.558752\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.07044 | − | 0.618020i | 0.0871113 | − | 0.0502937i | −0.455812 | − | 0.890076i | \(-0.650651\pi\) |
0.542923 | + | 0.839783i | \(0.317318\pi\) | |||||||
\(152\) | 15.6289 | + | 12.3388i | 1.26767 | + | 1.00081i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.859544 | − | 6.34390i | 0.0692640 | − | 0.511206i | ||||
\(155\) | −13.2052 | −1.06067 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.80286 | + | 8.31880i | 0.383310 | + | 0.663913i | 0.991533 | − | 0.129854i | \(-0.0414507\pi\) |
−0.608223 | + | 0.793766i | \(0.708117\pi\) | |||||||
\(158\) | 0.115035 | − | 2.38316i | 0.00915167 | − | 0.189594i | ||||
\(159\) | 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 | \(-0.108195\pi\) | |||||||
\(164\) | 8.64969 | + | 6.17592i | 0.675428 | + | 0.482258i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.42773 | − | 1.76437i | 0.266043 | − | 0.136942i | ||||
\(167\) | −17.7482 | −1.37340 | −0.686699 | − | 0.726942i | \(-0.740941\pi\) | ||||
−0.686699 | + | 0.726942i | \(0.740941\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.6265 | −0.817422 | ||||||||
\(170\) | 12.2521 | − | 6.30660i | 0.939695 | − | 0.483694i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.98360 | − | 5.57924i | 0.303747 | − | 0.425413i | ||||
\(173\) | 3.57075 | − | 6.18472i | 0.271479 | − | 0.470216i | −0.697762 | − | 0.716330i | \(-0.745821\pi\) |
0.969241 | + | 0.246114i | \(0.0791539\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −26.9657 | − | 18.8484i | −2.03842 | − | 1.42480i | ||||
\(176\) | 4.49486 | − | 5.16091i | 0.338813 | − | 0.389018i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.144733 | + | 2.99842i | −0.0108482 | + | 0.224741i | ||||
\(179\) | 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 | \(-0.776768\pi\) | ||||
−0.764002 | + | 0.645214i | \(0.776768\pi\) | |||||||
\(182\) | −4.56000 | − | 3.52642i | −0.338010 | − | 0.261395i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.04091 | − | 0.821782i | −0.0767369 | − | 0.0605826i | ||||
\(185\) | −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 | 0.435529 | − | 0.900175i | \(-0.356561\pi\) |
−0.561809 | + | 0.827267i | \(0.689895\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.78535 | + | 3.09232i | 0.128512 | + | 0.222590i | 0.923100 | − | 0.384559i | \(-0.125646\pi\) |
−0.794588 | + | 0.607149i | \(0.792313\pi\) | |||||||
\(194\) | 2.45450 | − | 1.26342i | 0.176223 | − | 0.0907081i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.52136 | + | 13.5499i | 0.251526 | + | 0.967851i | ||||
\(197\) | − | 17.5393i | − | 1.24962i | −0.780775 | − | 0.624812i | \(-0.785176\pi\) | ||
0.780775 | − | 0.624812i | \(-0.214824\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.85336 | + | 15.3345i | 0.627598 | + | 1.08703i | 0.988032 | + | 0.154247i | \(0.0492952\pi\) |
−0.360434 | + | 0.932785i | \(0.617371\pi\) | |||||||
\(200\) | −13.0100 | − | 32.6769i | −0.919945 | − | 2.31061i | ||||
\(201\) | 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 | ||||
\(206\) | −10.8522 | − | 0.523831i | −0.756107 | − | 0.0364971i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.00082 | − | 5.82864i | −0.138732 | − | 0.404143i | ||||
\(209\) | 12.0455i | 0.833201i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.23050 | −0.291240 | −0.145620 | − | 0.989341i | \(-0.546518\pi\) | ||||
−0.145620 | + | 0.989341i | \(0.546518\pi\) | |||||||
\(212\) | 0.301253 | − | 3.11325i | 0.0206901 | − | 0.213819i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 20.3527 | + | 0.982418i | 1.39128 | + | 0.0671567i | ||||
\(215\) | −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 | ||||||||
\(220\) | −8.30281 | + | 11.6285i | −0.559775 | + | 0.783994i | ||||
\(221\) | −3.11350 | + | 1.79758i | −0.209437 | + | 0.120918i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.43532 | 0.0961162 | 0.0480581 | − | 0.998845i | \(-0.484697\pi\) | ||||
0.0480581 | + | 0.998845i | \(0.484697\pi\) | |||||||
\(224\) | −4.81584 | + | 14.1707i | −0.321772 | + | 0.946817i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.93126 | − | 13.4657i | −0.461060 | − | 0.895723i | ||||
\(227\) | −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 | \(-0.652923\pi\) |
0.999068 | − | 0.0431631i | \(-0.0137435\pi\) | |||||||
\(230\) | 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 | ||||
\(236\) | −1.17163 | + | 12.1080i | −0.0762667 | + | 0.788165i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 8.65238 | + | 1.17232i | 0.560851 | + | 0.0759904i | ||||
\(239\) | − | 0.846585i | − | 0.0547610i | −0.999625 | − | 0.0273805i | \(-0.991283\pi\) | ||
0.999625 | − | 0.0273805i | \(-0.00871657\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.761425 | + | 0.439609i | −0.0490477 | + | 0.0283177i | −0.524323 | − | 0.851519i | \(-0.675682\pi\) |
0.475276 | + | 0.879837i | \(0.342348\pi\) | |||||||
\(242\) | −11.4031 | − | 0.550423i | −0.733017 | − | 0.0353825i | ||||
\(243\) | 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 | ||||
\(248\) | −3.30875 | − | 8.31052i | −0.210106 | − | 0.527719i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 20.0936 | + | 39.0367i | 1.27083 | + | 2.46889i | ||||
\(251\) | − | 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 | ||||||
\(254\) | 11.9421 | − | 6.14704i | 0.749316 | − | 0.385700i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −12.6267 | + | 9.82679i | −0.789170 | + | 0.614174i | ||||
\(257\) | −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 | ||||||||
\(262\) | 0.931910 | − | 19.3063i | 0.0575736 | − | 1.19275i | ||||
\(263\) | −3.02044 | + | 1.74385i | −0.186248 | + | 0.107531i | −0.590225 | − | 0.807239i | \(-0.700961\pi\) |
0.403977 | + | 0.914769i | \(0.367628\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.53008i | 0.401140i | ||||||||
\(266\) | −9.98869 | − | 24.3744i | −0.612446 | − | 1.49449i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −14.8769 | − | 1.43956i | −0.908748 | − | 0.0879349i | ||||
\(269\) | 7.35605 | + | 12.7410i | 0.448506 | + | 0.776835i | 0.998289 | − | 0.0584722i | \(-0.0186229\pi\) |
−0.549783 | + | 0.835308i | \(0.685290\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.95139 | + | 17.2363i | −0.604504 | + | 1.04703i | 0.387626 | + | 0.921817i | \(0.373295\pi\) |
−0.992130 | + | 0.125215i | \(0.960038\pi\) | |||||||
\(272\) | 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 | 0.384440 | − | 0.923150i | \(-0.374395\pi\) |
0.991691 | + | 0.128640i | \(0.0410613\pi\) | |||||||
\(278\) | 8.36065 | − | 4.30352i | 0.501438 | − | 0.258108i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 7.15812 | − | 30.4158i | 0.427779 | − | 1.81769i | ||||
\(281\) | 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 | \(0.270613\pi\) | |||||||
\(284\) | 5.68489 | + | 4.05904i | 0.337336 | + | 0.240860i | ||||
\(285\) | 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 | ||||
\(290\) | 0.950589 | − | 19.6933i | 0.0558205 | − | 1.15643i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.79842 | − | 28.9198i | 0.163765 | − | 1.69240i | ||||
\(293\) | 12.9438 | 0.756187 | 0.378094 | − | 0.925767i | \(-0.376580\pi\) | ||||
0.378094 | + | 0.925767i | \(0.376580\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 25.3968i | − | 1.47866i | ||||||
\(296\) | −19.8573 | − | 15.6771i | −1.15418 | − | 0.911210i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.553586 | − | 11.4686i | 0.0320684 | − | 0.664358i | ||||
\(299\) | −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 | ||||||||
\(304\) | 5.39934 | − | 27.6380i | 0.309674 | − | 1.58515i | ||||
\(305\) | 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 | \(0.889933\pi\) | |||||||
\(308\) | −8.53323 | + | 3.02519i | −0.486226 | + | 0.172376i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 8.54688 | + | 16.6044i | 0.485430 | + | 0.943067i | ||||
\(311\) | 5.91849 | + | 10.2511i | 0.335607 | + | 0.581288i | 0.983601 | − | 0.180357i | \(-0.0577253\pi\) |
−0.647994 | + | 0.761645i | \(0.724392\pi\) | |||||||
\(312\) | 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 | 0.325863 | − | 0.945417i | \(-0.394345\pi\) |
−0.655824 | + | 0.754914i | \(0.727678\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.94732 | + | 2.85634i | −0.276997 | + | 0.159924i | ||||
\(320\) | 24.2631 | − | 22.9597i | 1.35635 | − | 1.28348i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.665263 | + | 1.62338i | 0.0370737 | + | 0.0904674i | ||||
\(323\) | −16.4287 | −0.914116 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.57885 | − | 16.5911i | −0.531339 | − | 0.920306i | ||||
\(326\) | −27.4168 | − | 1.32340i | −1.51848 | − | 0.0732966i | ||||
\(327\) | 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 | \(0.125033\pi\) | |||||||
\(332\) | −4.43709 | − | 3.16810i | −0.243517 | − | 0.173872i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 11.4873 | + | 22.3168i | 0.628555 | + | 1.22112i | ||||
\(335\) | 31.2044 | 1.70488 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.5173 | 0.899754 | 0.449877 | − | 0.893090i | \(-0.351468\pi\) | ||||
0.449877 | + | 0.893090i | \(0.351468\pi\) | |||||||
\(338\) | 6.87783 | + | 13.3619i | 0.374105 | + | 0.726790i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −15.8600 | − | 11.3241i | −0.860130 | − | 0.614137i | ||||
\(341\) | 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 | ||||||||
\(346\) | −10.0879 | − | 0.486938i | −0.542327 | − | 0.0261780i | ||||
\(347\) | −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 | \(-0.478706\pi\) | ||||
0.0668485 | + | 0.997763i | \(0.478706\pi\) | |||||||
\(350\) | −6.24702 | + | 46.1064i | −0.333917 | + | 2.46449i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −9.39862 | − | 2.31157i | −0.500948 | − | 0.123207i | ||||
\(353\) | 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 | \(-0.993105\pi\) |
−0.518639 | − | 0.854993i | \(-0.673561\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.2817 | + | 26.4687i | 0.804300 | + | 1.39309i | ||||
\(362\) | 13.3053 | + | 25.8489i | 0.699313 | + | 1.35859i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.48277 | + | 8.01623i | −0.0777182 | + | 0.420164i | ||||
\(365\) | 60.6597i | 3.17507i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.17584 | + | 3.76866i | 0.113578 | + | 0.196722i | 0.917210 | − | 0.398403i | \(-0.130436\pi\) |
−0.803633 | + | 0.595126i | \(0.797102\pi\) | |||||||
\(368\) | −0.359605 | + | 1.84074i | −0.0187457 | + | 0.0959552i | ||||
\(369\) | 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 | 0.758922 | − | 0.651181i | \(-0.225726\pi\) |
−0.184479 | + | 0.982837i | \(0.559060\pi\) | |||||||
\(374\) | −0.272238 | + | 5.63994i | −0.0140771 | + | 0.291634i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −10.3422 | + | 13.0999i | −0.533358 | + | 0.675578i | ||||
\(377\) | 5.14391i | 0.264925i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −24.0807 | −1.23694 | −0.618472 | − | 0.785807i | \(-0.712248\pi\) | ||||
−0.618472 | + | 0.785807i | \(0.712248\pi\) | |||||||
\(380\) | −5.66260 | + | 58.5192i | −0.290485 | + | 3.00197i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.137406 | + | 2.84663i | −0.00703030 | + | 0.145646i | ||||
\(383\) | −8.78233 | + | 15.2114i | −0.448756 | + | 0.777268i | −0.998305 | − | 0.0581930i | \(-0.981466\pi\) |
0.549549 | + | 0.835461i | \(0.314799\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 17.1242 | − | 8.00242i | 0.872731 | − | 0.407841i | ||||
\(386\) | 2.73278 | − | 4.24638i | 0.139095 | − | 0.216135i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.17728 | − | 2.26859i | −0.161302 | − | 0.115170i | ||||
\(389\) | 23.9022 | − | 13.7999i | 1.21189 | − | 0.699685i | 0.248719 | − | 0.968576i | \(-0.419990\pi\) |
0.963171 | + | 0.268890i | \(0.0866570\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.09418 | 0.0553349 | ||||||||
\(392\) | 14.7587 | − | 13.1978i | 0.745426 | − | 0.666588i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −22.0541 | + | 11.3521i | −1.11107 | + | 0.571908i | ||||
\(395\) | 6.10079 | − | 3.52229i | 0.306964 | − | 0.177226i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.65850 | + | 14.9970i | −0.434558 | + | 0.752676i | −0.997259 | − | 0.0739841i | \(-0.976429\pi\) |
0.562702 | + | 0.826660i | \(0.309762\pi\) | |||||||
\(398\) | 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 | ||||
\(404\) | −27.4337 | − | 2.65462i | −1.36488 | − | 0.132072i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 7.64248 | − | 9.88248i | 0.379290 | − | 0.490459i | ||||
\(407\) | − | 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 | \(0.369916\pi\) | |||||||
\(410\) | −1.51296 | + | 31.3438i | −0.0747196 | + | 1.54796i | ||||
\(411\) | 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 | ||||
\(416\) | −6.03401 | + | 6.28835i | −0.295841 | + | 0.308312i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 15.1461 | − | 7.79624i | 0.740820 | − | 0.381327i | ||||
\(419\) | − | 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 | \(0.162156\pi\) | ||||
−0.873024 | + | 0.487678i | \(0.837844\pi\) | |||||||
\(422\) | 2.73813 | + | 5.31948i | 0.133290 | + | 0.258948i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.10962 | + | 1.63620i | −0.199581 | + | 0.0794610i | ||||
\(425\) | 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 | ||||||||
\(430\) | 20.2174 | + | 0.975890i | 0.974971 | + | 0.0470616i | ||||
\(431\) | −12.1099 | + | 6.99165i | −0.583313 | + | 0.336776i | −0.762449 | − | 0.647049i | \(-0.776003\pi\) |
0.179136 | + | 0.983824i | \(0.442670\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.984888i | 0.0473307i | 0.999720 | + | 0.0236653i | \(0.00753362\pi\) | ||||
−0.999720 | + | 0.0236653i | \(0.992466\pi\) | |||||||
\(434\) | −1.58876 | + | 11.7259i | −0.0762632 | + | 0.562864i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.650342 | + | 6.72084i | −0.0311457 | + | 0.321870i | ||||
\(437\) | −1.65050 | − | 2.85875i | −0.0789542 | − | 0.136753i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.43693 | − | 5.95294i | 0.164036 | − | 0.284118i | −0.772277 | − | 0.635286i | \(-0.780882\pi\) |
0.936312 | + | 0.351168i | \(0.114215\pi\) | |||||||
\(440\) | 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 | ||||
\(446\) | −0.928990 | − | 1.80479i | −0.0439890 | − | 0.0854593i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 20.9354 | − | 3.11625i | 0.989102 | − | 0.147229i | ||||
\(449\) | −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 | ||||
\(452\) | −12.4457 | + | 17.4309i | −0.585399 | + | 0.819881i | ||||
\(453\) | 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 | \(-0.0127651\pi\) | |||||||
\(458\) | −22.9542 | − | 1.10799i | −1.07258 | − | 0.0517731i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.377139 | − | 3.89747i | 0.0175842 | − | 0.181721i | ||||
\(461\) | −15.8743 | −0.739338 | −0.369669 | − | 0.929164i | \(-0.620529\pi\) | ||||
−0.369669 | + | 0.929164i | \(0.620529\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 2.72059i | − | 0.126436i | −0.998000 | − | 0.0632182i | \(-0.979864\pi\) | ||
0.998000 | − | 0.0632182i | \(-0.0201364\pi\) | |||||||
\(464\) | 12.6319 | − | 4.33619i | 0.586420 | − | 0.201302i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −16.7546 | − | 0.808739i | −0.776141 | − | 0.0374641i | ||||
\(467\) | −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 | ||||||||
\(472\) | 15.9831 | − | 6.36351i | 0.735682 | − | 0.292904i | ||||
\(473\) | −2.93236 | − | 5.07900i | −0.134830 | − | 0.233533i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 87.5443i | − | 4.01681i | ||||||
\(476\) | −4.12603 | − | 11.6384i | −0.189116 | − | 0.533445i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.06451 | + | 0.547939i | −0.0486894 | + | 0.0250622i | ||||
\(479\) | 9.87511 | + | 17.1042i | 0.451205 | + | 0.781511i | 0.998461 | − | 0.0554547i | \(-0.0176608\pi\) |
−0.547256 | + | 0.836965i | \(0.684328\pi\) | |||||||
\(480\) | 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 | −0.998840 | − | 0.0481495i | \(-0.984668\pi\) |
−0.457721 | + | 0.889096i | \(0.651334\pi\) | |||||||
\(488\) | −15.9826 | + | 20.2443i | −0.723497 | + | 0.916417i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −28.0155 | + | 30.3935i | −1.26561 | + | 1.37304i | ||||
\(491\) | 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 | ||||
\(494\) | 0.739539 | − | 15.3210i | 0.0332734 | − | 0.689323i | ||||
\(495\) | 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 | \(0.174043\pi\) | |||||||
\(500\) | 36.0799 | − | 50.5318i | 1.61354 | − | 2.25985i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −22.8146 | + | 11.7435i | −1.01826 | + | 0.524137i | ||||
\(503\) | 19.7898 | 0.882382 | 0.441191 | − | 0.897413i | \(-0.354556\pi\) | ||||
0.441191 | + | 0.897413i | \(0.354556\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 57.5425 | 2.56061 | ||||||||
\(506\) | −1.00876 | + | 0.519243i | −0.0448447 | + | 0.0230831i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −15.4587 | − | 11.0376i | −0.685870 | − | 0.489715i | ||||
\(509\) | −2.11849 | + | 3.66933i | −0.0939004 | + | 0.162640i | −0.909149 | − | 0.416471i | \(-0.863267\pi\) |
0.815249 | + | 0.579111i | \(0.196600\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −22.0199 | + | 31.5031i | −0.974104 | + | 1.39362i | ||||
\(512\) | 20.5288 | + | 9.51676i | 0.907253 | + | 0.420586i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −1.25107 | + | 25.9184i | −0.0551825 | + | 1.14321i | ||||
\(515\) | −16.0394 | − | 27.7811i | −0.706781 | − | 1.22418i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −10.0963 | −0.444037 | ||||||||
\(518\) | 12.6912 | + | 30.9690i | 0.557618 | + | 1.36070i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 11.2745 | − | 14.2809i | 0.494421 | − | 0.626259i | ||||
\(521\) | 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 | ||||
\(530\) | 8.21101 | − | 4.22650i | 0.356663 | − | 0.183587i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −24.1837 | + | 28.3359i | −1.04850 | + | 1.22852i | ||||
\(533\) | − | 8.18704i | − | 0.354620i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 30.0811 | + | 52.1019i | 1.30052 | + | 2.25256i | ||||
\(536\) | 7.81870 | + | 19.6381i | 0.337717 | + | 0.848236i | ||||
\(537\) | 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 | \(0.0512092\pi\) |
0.632268 | + | 0.774750i | \(0.282124\pi\) | |||||||
\(542\) | 28.1140 | + | 1.35706i | 1.20760 | + | 0.0582906i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.15273 | − | 12.8187i | 0.135172 | − | 0.549597i | ||||
\(545\) | − | 14.0971i | − | 0.603852i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.8290 | 0.463016 | 0.231508 | − | 0.972833i | \(-0.425634\pi\) | ||||
0.231508 | + | 0.972833i | \(0.425634\pi\) | |||||||
\(548\) | 23.8669 | + | 2.30948i | 1.01954 | + | 0.0986560i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −30.0538 | − | 1.45069i | −1.28150 | − | 0.0618576i | ||||
\(551\) | −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 | ||||||||
\(556\) | −10.8226 | − | 7.72739i | −0.458981 | − | 0.327714i | ||||
\(557\) | 7.04197 | − | 4.06568i | 0.298378 | − | 0.172269i | −0.343336 | − | 0.939213i | \(-0.611557\pi\) |
0.641714 | + | 0.766944i | \(0.278224\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.28082 | −0.223355 | ||||||||
\(560\) | −42.8783 | + | 10.6855i | −1.81194 | + | 0.451544i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −13.1283 | − | 25.5050i | −0.553786 | − | 1.07586i | ||||
\(563\) | −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 | \(-0.446040\pi\) | |||||||
\(572\) | −5.24741 | − | 0.507765i | −0.219405 | − | 0.0212307i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −12.1638 | + | 15.7289i | −0.507706 | + | 0.656514i | ||||
\(575\) | 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 | \(0.322627\pi\) | |||||||
\(578\) | 16.3214 | + | 0.787830i | 0.678881 | + | 0.0327694i | ||||
\(579\) | 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 | ||||
\(584\) | −38.1753 | + | 15.1991i | −1.57971 | + | 0.628945i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.37771 | − | 16.2758i | −0.346080 | − | 0.672345i | ||||
\(587\) | 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 | ||||||
\(590\) | −31.9342 | + | 16.4377i | −1.31471 | + | 0.676729i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −6.86015 | + | 35.1156i | −0.281951 | + | 1.44324i | ||||
\(593\) | −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 | ||||||||
\(598\) | −0.0492546 | + | 1.02040i | −0.00201417 | + | 0.0417274i | ||||
\(599\) | −8.61435 | + | 4.97350i | −0.351973 | + | 0.203212i | −0.665554 | − | 0.746350i | \(-0.731805\pi\) |
0.313581 | + | 0.949561i | \(0.398471\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 35.9296i | 1.46560i | 0.680445 | + | 0.732799i | \(0.261786\pi\) | ||||
−0.680445 | + | 0.732799i | \(0.738214\pi\) | |||||||
\(602\) | 10.1455 | + | 7.84589i | 0.413500 | + | 0.319775i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.238098 | + | 2.46059i | −0.00968808 | + | 0.100120i | ||||
\(605\) | −16.8536 | − | 29.1914i | −0.685198 | − | 1.18680i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −14.9355 | + | 25.8690i | −0.606212 | + | 1.04999i | 0.385646 | + | 0.922647i | \(0.373978\pi\) |
−0.991859 | + | 0.127344i | \(0.959355\pi\) | |||||||
\(608\) | −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 | 0.340836 | − | 0.940123i | \(-0.389290\pi\) |
0.984588 | + | 0.174889i | \(0.0559566\pi\) | |||||||
\(614\) | 14.9346 | − | 7.68738i | 0.602712 | − | 0.310238i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 9.32692 | + | 8.77178i | 0.375792 | + | 0.353425i | ||||
\(617\) | −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 | \(0.499892\pi\) | ||||||||
\(620\) | 15.3468 | − | 21.4939i | 0.616341 | − | 0.863216i | ||||
\(621\) | 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 | ||||
\(626\) | −1.01079 | + | 20.9404i | −0.0403992 | + | 0.836947i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −19.1221 | − | 1.85035i | −0.763056 | − | 0.0738371i | ||||
\(629\) | 20.8735 | 0.832281 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 43.3823i | − | 1.72702i | −0.504330 | − | 0.863511i | \(-0.668260\pi\) | ||
0.504330 | − | 0.863511i | \(-0.331740\pi\) | |||||||
\(632\) | 3.74535 | + | 2.95689i | 0.148982 | + | 0.117619i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.462536 | + | 9.58232i | −0.0183696 | + | 0.380563i | ||||
\(635\) | 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 | ||||||||
\(640\) | −44.5737 | − | 15.6484i | −1.76193 | − | 0.618557i | ||||
\(641\) | 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 | \(-0.116210\pi\) | |||||||
\(644\) | 1.61068 | − | 1.88722i | 0.0634695 | − | 0.0743668i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 10.6332 | + | 20.6576i | 0.418358 | + | 0.812763i | ||||
\(647\) | 24.6421 | + | 42.6815i | 0.968783 | + | 1.67798i | 0.699089 | + | 0.715035i | \(0.253589\pi\) |
0.269694 | + | 0.962946i | \(0.413077\pi\) | |||||||
\(648\) | 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 | 0.000563051 | − | 1.00000i | \(-0.499821\pi\) |
−0.865744 | + | 0.500488i | \(0.833154\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 49.4233 | − | 28.5345i | 1.93113 | − | 1.11494i | ||||
\(656\) | −20.1049 | + | 6.90147i | −0.784964 | + | 0.269457i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 20.4304 | − | 8.37240i | 0.796458 | − | 0.326390i | ||||
\(659\) | 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 | 0.952035 | − | 0.305988i | \(-0.0989869\pi\) |
−0.741011 | + | 0.671493i | \(0.765654\pi\) | |||||||
\(662\) | −6.70362 | − | 0.323582i | −0.260544 | − | 0.0125764i | ||||
\(663\) | 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 | ||||
\(668\) | 20.6265 | − | 28.8885i | 0.798063 | − | 1.11773i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −20.1966 | − | 39.2368i | −0.780263 | − | 1.51585i | ||||
\(671\) | −15.6026 | −0.602333 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −48.1931 | −1.85771 | −0.928854 | − | 0.370446i | \(-0.879205\pi\) | ||||
−0.928854 | + | 0.370446i | \(0.879205\pi\) | |||||||
\(674\) | −10.6906 | − | 20.7691i | −0.411785 | − | 0.799994i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.3498 | − | 17.2965i | 0.474993 | − | 0.665252i | ||||
\(677\) | 2.56093 | − | 4.43567i | 0.0984246 | − | 0.170476i | −0.812608 | − | 0.582810i | \(-0.801953\pi\) |
0.911033 | + | 0.412334i | \(0.135286\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.18651 | + | 4.67888i | 0.0839107 | + | 0.179559i | ||||
\(680\) | −3.97394 | + | 27.2719i | −0.152394 | + | 1.04583i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −7.64340 | − | 0.368945i | −0.292681 | − | 0.0141276i | ||||
\(683\) | 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 | ||||||||
\(686\) | −25.5827 | + | 5.61476i | −0.976752 | + | 0.214373i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4.45160 | + | 12.9681i | 0.169715 | + | 0.494404i | ||||
\(689\) | −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 | ||||
\(698\) | −1.61658 | − | 3.14060i | −0.0611884 | − | 0.118873i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 62.0180 | − | 21.9866i | 2.34406 | − | 0.831015i | ||||
\(701\) | 11.8718i | 0.448393i | 0.974544 | + | 0.224196i | \(0.0719757\pi\) | ||||
−0.974544 | + | 0.224196i | \(0.928024\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −31.4865 | − | 54.5362i | −1.18754 | − | 2.05687i | ||||
\(704\) | 3.17652 | + | 13.3141i | 0.119719 | + | 0.501793i | ||||
\(705\) | 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 | −0.104949 | − | 0.994478i | \(-0.533468\pi\) |
−0.913717 | + | 0.406350i | \(0.866801\pi\) | |||||||
\(710\) | −0.994371 | + | 20.6003i | −0.0373181 | + | 0.773116i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.71227 | − | 3.72026i | −0.176600 | − | 0.139423i | ||||
\(713\) | 1.48286i | 0.0555335i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 11.0065 | 0.411621 | ||||||||
\(716\) | −47.6101 | − | 4.60698i | −1.77927 | − | 0.172171i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.26511 | + | 46.9260i | −0.0845330 | + | 1.75126i | ||||
\(719\) | 12.6273 | − | 21.8712i | 0.470920 | − | 0.815657i | −0.528527 | − | 0.848917i | \(-0.677255\pi\) |
0.999447 | + | 0.0332594i | \(0.0105888\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.75479 | − | 20.2503i | 0.0653518 | − | 0.754161i | ||||
\(722\) | 23.3912 | − | 36.3469i | 0.870530 | − | 1.35269i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 23.8910 | − | 33.4606i | 0.887903 | − | 1.24355i | ||||
\(725\) | 35.9563 | − | 20.7594i | 1.33538 | − | 0.770984i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −17.9342 | −0.665144 | −0.332572 | − | 0.943078i | \(-0.607916\pi\) | ||||
−0.332572 | + | 0.943078i | \(0.607916\pi\) | |||||||
\(728\) | 11.0394 | − | 3.32393i | 0.409148 | − | 0.123193i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 76.2743 | − | 39.2611i | 2.82304 | − | 1.45312i | ||||
\(731\) | 6.92720 | − | 3.99942i | 0.256212 | − | 0.147924i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.16779 | − | 10.6829i | 0.227813 | − | 0.394583i | −0.729347 | − | 0.684144i | \(-0.760176\pi\) |
0.957160 | + | 0.289561i | \(0.0935093\pi\) | |||||||
\(734\) | 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 | \(-0.461807\pi\) | |||||||
\(740\) | 7.19464 | − | 74.3518i | 0.264480 | − | 2.73322i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.79857 | + | 0.785656i | 0.212872 | + | 0.0288424i | ||||
\(743\) | − | 32.8397i | − | 1.20477i | −0.798205 | − | 0.602386i | \(-0.794217\pi\) | ||
0.798205 | − | 0.602386i | \(-0.205783\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 29.3591 | − | 16.9505i | 1.07563 | − | 0.621018i | ||||
\(746\) | 0.873485 | − | 18.0959i | 0.0319806 | − | 0.662539i | ||||
\(747\) | 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 | 0.354352 | − | 0.935112i | \(-0.384701\pi\) |
−0.632655 | + | 0.774434i | \(0.718035\pi\) | |||||||
\(752\) | 23.1659 | + | 4.52566i | 0.844772 | + | 0.165034i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 6.46802 | − | 3.32932i | 0.235551 | − | 0.121247i | ||||
\(755\) | − | 5.16112i | − | 0.187832i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.9328i | 0.615433i | 0.951478 | + | 0.307717i | \(0.0995649\pi\) | ||||
−0.951478 | + | 0.307717i | \(0.900435\pi\) | |||||||
\(758\) | 15.5859 | + | 30.2794i | 0.566105 | + | 1.09980i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 77.2478 | − | 30.7554i | 2.80207 | − | 1.11562i | ||||
\(761\) | −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 | ||||||||
\(766\) | 24.8113 | + | 1.19763i | 0.896468 | + | 0.0432723i | ||||
\(767\) | 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 | \(-0.0934194\pi\) | |||||||
\(770\) | −21.1457 | − | 16.3528i | −0.762040 | − | 0.589313i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −7.10820 | − | 0.687825i | −0.255830 | − | 0.0247554i | ||||
\(773\) | −9.15671 | − | 15.8599i | −0.329344 | − | 0.570440i | 0.653038 | − | 0.757325i | \(-0.273494\pi\) |
−0.982382 | + | 0.186885i | \(0.940161\pi\) | |||||||
\(774\) | 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 | ||||
\(782\) | −0.708190 | − | 1.37583i | −0.0253248 | − | 0.0491997i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −26.1474 | − | 10.0157i | −0.933835 | − | 0.357703i | ||||
\(785\) | 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 | \(0.307825\pi\) | |||||||
\(788\) | 28.5484 | + | 20.3837i | 1.01700 | + | 0.726140i | ||||
\(789\) | 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 | ||||
\(794\) | 24.4615 | + | 1.18075i | 0.868104 | + | 0.0419032i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −35.2488 | − | 3.41085i | −1.24936 | − | 0.120894i | ||||
\(797\) | −31.7698 | −1.12534 | −0.562672 | − | 0.826680i | \(-0.690227\pi\) | ||||
−0.562672 | + | 0.826680i | \(0.690227\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 13.7703i | − | 0.487159i | ||||||
\(800\) | 68.3076 | + | 16.8001i | 2.41504 | + | 0.593974i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −10.9507 | − | 0.528587i | −0.386682 | − | 0.0186650i | ||||
\(803\) | −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 | ||||||||
\(808\) | 14.4181 | + | 36.2136i | 0.507226 | + | 1.27399i | ||||
\(809\) | 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 | \(0.680890\pi\) | |||||||
\(812\) | −17.3728 | − | 3.21347i | −0.609667 | − | 0.112771i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −19.2439 | + | 9.90554i | −0.674500 | + | 0.347189i | ||||
\(815\) | −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 | 0.223402 | − | 0.974726i | \(-0.428284\pi\) |
−0.732437 | + | 0.680835i | \(0.761617\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −17.1163 | + | 9.88209i | −0.596636 | + | 0.344468i | −0.767717 | − | 0.640789i | \(-0.778607\pi\) |
0.171081 | + | 0.985257i | \(0.445274\pi\) | |||||||
\(824\) | 13.4647 | − | 17.0551i | 0.469066 | − | 0.594143i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −22.5518 | − | 3.05557i | −0.784677 | − | 0.106317i | ||||
\(827\) | −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 | 0.970504 | − | 0.241087i | \(-0.0775038\pi\) |
−0.694039 | + | 0.719937i | \(0.744171\pi\) | |||||||
\(830\) | 0.776111 | − | 16.0786i | 0.0269392 | − | 0.558098i | ||||
\(831\) | 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 | ||||
\(836\) | −19.6062 | − | 13.9989i | −0.678094 | − | 0.484162i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −17.9079 | + | 9.21783i | −0.618618 | + | 0.318425i | ||||
\(839\) | −38.3305 | −1.32332 | −0.661658 | − | 0.749806i | \(-0.730147\pi\) | ||||
−0.661658 | + | 0.749806i | \(0.730147\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.8521 | 0.615589 | ||||||||
\(842\) | 25.1641 | − | 12.9529i | 0.867213 | − | 0.446385i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4.91657 | − | 6.88591i | 0.169235 | − | 0.237023i | ||||
\(845\) | −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 | ||||||||
\(850\) | 1.97858 | − | 40.9901i | 0.0678647 | − | 1.40595i | ||||
\(851\) | 2.09705 | + | 3.63220i | 0.0718860 | + | 0.124510i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −22.5158 | −0.770927 | −0.385463 | − | 0.922723i | \(-0.625958\pi\) | ||||
−0.385463 | + | 0.922723i | \(0.625958\pi\) | |||||||
\(854\) | 31.5726 | − | 12.9385i | 1.08039 | − | 0.442746i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −25.2524 | + | 31.9860i | −0.863109 | + | 1.09326i | ||||
\(857\) | 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 | 0.625206 | − | 0.780460i | \(-0.285015\pi\) |
−0.363295 | + | 0.931674i | \(0.618348\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −14.9098 | − | 25.8245i | −0.506947 | − | 0.878059i | ||||
\(866\) | 1.23841 | − | 0.637454i | 0.0420829 | − | 0.0216616i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 15.7727 | − | 5.59171i | 0.535359 | − | 0.189795i | ||||
\(869\) | 2.88660i | 0.0979212i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 5.75667 | + | 9.97084i | 0.195057 | + | 0.337849i | ||||
\(872\) | 8.87180 | − | 3.53222i | 0.300437 | − | 0.119616i | ||||
\(873\) | 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 | −0.368569 | − | 0.929600i | \(-0.620152\pi\) |
−0.989342 | + | 0.145610i | \(0.953485\pi\) | |||||||
\(878\) | −9.70981 | − | 0.468690i | −0.327690 | − | 0.0158175i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −9.27822 | − | 27.0287i | −0.312769 | − | 0.911137i | ||||
\(881\) | 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 | \(0.619537\pi\) | |||||||
\(884\) | 0.692536 | − | 7.15689i | 0.0232925 | − | 0.240712i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −4.81638 | − | 0.232485i | −0.161809 | − | 0.00781049i | ||||
\(887\) | 21.1661 | − | 36.6607i | 0.710688 | − | 1.23095i | −0.253911 | − | 0.967227i | \(-0.581717\pi\) |
0.964599 | − | 0.263720i | \(-0.0849495\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 10.6383 | + | 22.7646i | 0.356796 | + | 0.763502i | ||||
\(890\) | 10.5405 | + | 6.78336i | 0.353317 | + | 0.227379i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.66809 | + | 2.33625i | −0.0558519 | + | 0.0782234i | ||||
\(893\) | −35.9777 | + | 20.7717i | −1.20395 | + | 0.695099i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 99.8629 | 3.33805 | ||||||||
\(896\) | −17.4685 | − | 24.3074i | −0.583582 | − | 0.812054i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 21.3538 | + | 41.4850i | 0.712586 | + | 1.38437i | ||||
\(899\) | 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 | \(0.563815\pi\) | |||||||
\(908\) | 3.08485 | − | 31.8798i | 0.102374 | − | 1.05797i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −22.2721 | + | 9.12716i | −0.738314 | + | 0.302562i | ||||
\(911\) | 36.2714i | 1.20173i | 0.799352 | + | 0.600863i | \(0.205176\pi\) | ||||
−0.799352 | + | 0.600863i | \(0.794824\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4.03926 | + | 2.33207i | −0.133680 | + | 0.0771801i | ||||
\(914\) | −32.2699 | − | 1.55766i | −1.06739 | − | 0.0515228i | ||||
\(915\) | 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 | −0.276164 | − | 0.961110i | \(-0.589063\pi\) |
−0.970428 | + | 0.241390i | \(0.922397\pi\) | |||||||
\(920\) | −5.14483 | + | 2.04836i | −0.169620 | + | 0.0675325i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 10.2744 | + | 19.9605i | 0.338369 | + | 0.657364i | ||||
\(923\) | − | 5.38082i | − | 0.177112i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 111.230i | 3.65721i | ||||||||
\(926\) | −3.42090 | + | 1.76086i | −0.112418 | + | 0.0578654i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −13.6282 | − | 13.0770i | −0.447367 | − | 0.429272i | ||||
\(929\) | −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 | ||||||||
\(934\) | −1.63548 | + | 33.8820i | −0.0535144 | + | 1.10865i | ||||
\(935\) | −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 | \(-0.194051\pi\) | |||||||
\(938\) | 3.75431 | − | 27.7089i | 0.122583 | − | 0.904726i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −49.0501 | − | 4.74632i | −1.59984 | − | 0.154808i | ||||
\(941\) | 14.2985 | + | 24.7658i | 0.466119 | + | 0.807342i | 0.999251 | − | 0.0386903i | \(-0.0123186\pi\) |
−0.533132 | + | 0.846032i | \(0.678985\pi\) | |||||||
\(942\) | 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 | ||||
\(950\) | −110.079 | + | 56.6617i | −3.57144 | + | 1.83835i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −11.9637 | + | 12.7209i | −0.387747 | + | 0.412287i | ||||
\(953\) | 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 | ||||
\(956\) | 1.37797 | + | 0.983878i | 0.0445668 | + | 0.0318209i | ||||
\(957\) | 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 | ||||
\(962\) | −0.939624 | + | 19.4661i | −0.0302947 | + | 0.627613i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.169364 | − | 1.75026i | 0.00545484 | − | 0.0563721i | ||||
\(965\) | 14.9096 | 0.479956 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 59.2193i | − | 1.90437i | −0.305530 | − | 0.952183i | \(-0.598833\pi\) | ||
0.305530 | − | 0.952183i | \(-0.401167\pi\) | |||||||
\(968\) | 14.1483 | − | 17.9209i | 0.454742 | − | 0.576000i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.555752 | − | 11.5135i | 0.0178441 | − | 0.369675i | ||||
\(971\) | 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 | ||||||||
\(976\) | 35.7999 | + | 6.99384i | 1.14593 | + | 0.223867i | ||||
\(977\) | −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 | ||||||
\(980\) | 56.3498 | + | 15.5554i | 1.80003 | + | 0.496899i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −13.3166 | − | 25.8707i | −0.424949 | − | 0.825568i | ||||
\(983\) | 13.9737 | + | 24.2032i | 0.445693 | + | 0.771963i | 0.998100 | − | 0.0616113i | \(-0.0196239\pi\) |
−0.552407 | + | 0.833574i | \(0.686291\pi\) | |||||||
\(984\) | 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 | −0.170776 | − | 0.985310i | \(-0.554628\pi\) |
0.767915 | + | 0.640552i | \(0.221294\pi\) | |||||||
\(992\) | 17.3722 | + | 4.27267i | 0.551569 | + | 0.135657i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −7.99448 | + | 10.3376i | −0.253569 | + | 0.327890i | ||||
\(995\) | 73.9349 | 2.34389 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −16.8274 | − | 29.1458i | −0.532928 | − | 0.923058i | −0.999261 | − | 0.0384485i | \(-0.987758\pi\) |
0.466333 | − | 0.884609i | \(-0.345575\pi\) | |||||||
\(998\) | 1.46223 | + | 0.0705815i | 0.0462861 | + | 0.00223422i | ||||
\(999\) | 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.19.5 | 32 | ||
3.2 | odd | 2 | 168.2.t.a.19.12 | yes | 32 | ||
4.3 | odd | 2 | 2016.2.bs.c.271.16 | 32 | |||
7.3 | odd | 6 | inner | 504.2.bk.c.451.16 | 32 | ||
8.3 | odd | 2 | inner | 504.2.bk.c.19.16 | 32 | ||
8.5 | even | 2 | 2016.2.bs.c.271.1 | 32 | |||
12.11 | even | 2 | 672.2.bb.a.271.1 | 32 | |||
21.2 | odd | 6 | 1176.2.p.a.979.17 | 32 | |||
21.5 | even | 6 | 1176.2.p.a.979.18 | 32 | |||
21.17 | even | 6 | 168.2.t.a.115.1 | yes | 32 | ||
24.5 | odd | 2 | 672.2.bb.a.271.8 | 32 | |||
24.11 | even | 2 | 168.2.t.a.19.1 | ✓ | 32 | ||
28.3 | even | 6 | 2016.2.bs.c.1711.1 | 32 | |||
56.3 | even | 6 | inner | 504.2.bk.c.451.5 | 32 | ||
56.45 | odd | 6 | 2016.2.bs.c.1711.16 | 32 | |||
84.23 | even | 6 | 4704.2.p.a.3919.23 | 32 | |||
84.47 | odd | 6 | 4704.2.p.a.3919.6 | 32 | |||
84.59 | odd | 6 | 672.2.bb.a.367.8 | 32 | |||
168.5 | even | 6 | 4704.2.p.a.3919.24 | 32 | |||
168.59 | odd | 6 | 168.2.t.a.115.12 | yes | 32 | ||
168.101 | even | 6 | 672.2.bb.a.367.1 | 32 | |||
168.107 | even | 6 | 1176.2.p.a.979.20 | 32 | |||
168.131 | odd | 6 | 1176.2.p.a.979.19 | 32 | |||
168.149 | odd | 6 | 4704.2.p.a.3919.5 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.t.a.19.1 | ✓ | 32 | 24.11 | even | 2 | ||
168.2.t.a.19.12 | yes | 32 | 3.2 | odd | 2 | ||
168.2.t.a.115.1 | yes | 32 | 21.17 | even | 6 | ||
168.2.t.a.115.12 | yes | 32 | 168.59 | odd | 6 | ||
504.2.bk.c.19.5 | 32 | 1.1 | even | 1 | trivial | ||
504.2.bk.c.19.16 | 32 | 8.3 | odd | 2 | inner | ||
504.2.bk.c.451.5 | 32 | 56.3 | even | 6 | inner | ||
504.2.bk.c.451.16 | 32 | 7.3 | odd | 6 | inner | ||
672.2.bb.a.271.1 | 32 | 12.11 | even | 2 | |||
672.2.bb.a.271.8 | 32 | 24.5 | odd | 2 | |||
672.2.bb.a.367.1 | 32 | 168.101 | even | 6 | |||
672.2.bb.a.367.8 | 32 | 84.59 | odd | 6 | |||
1176.2.p.a.979.17 | 32 | 21.2 | odd | 6 | |||
1176.2.p.a.979.18 | 32 | 21.5 | even | 6 | |||
1176.2.p.a.979.19 | 32 | 168.131 | odd | 6 | |||
1176.2.p.a.979.20 | 32 | 168.107 | even | 6 | |||
2016.2.bs.c.271.1 | 32 | 8.5 | even | 2 | |||
2016.2.bs.c.271.16 | 32 | 4.3 | odd | 2 | |||
2016.2.bs.c.1711.1 | 32 | 28.3 | even | 6 | |||
2016.2.bs.c.1711.16 | 32 | 56.45 | odd | 6 | |||
4704.2.p.a.3919.5 | 32 | 168.149 | odd | 6 | |||
4704.2.p.a.3919.6 | 32 | 84.47 | odd | 6 | |||
4704.2.p.a.3919.23 | 32 | 84.23 | even | 6 | |||
4704.2.p.a.3919.24 | 32 | 168.5 | even | 6 |