Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(17,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.x (of order \(20\), degree \(8\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 53.4 | ||
Character | \(\chi\) | \(=\) | 300.53 |
Dual form | 300.2.x.a.17.4 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{7}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.719024 | + | 1.57576i | −0.415128 | + | 0.909763i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.13602 | − | 1.92599i | −0.508044 | − | 0.861331i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.00936 | − | 3.00936i | 1.13743 | − | 1.13743i | 0.148522 | − | 0.988909i | \(-0.452548\pi\) |
0.988909 | − | 0.148522i | \(-0.0474516\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.96601 | − | 2.26601i | −0.655337 | − | 0.755337i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.76163 | + | 0.897307i | 0.832662 | + | 0.270548i | 0.694166 | − | 0.719815i | \(-0.255773\pi\) |
0.138496 | + | 0.990363i | \(0.455773\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.404807 | − | 0.794479i | 0.112273 | − | 0.220349i | −0.828032 | − | 0.560681i | \(-0.810539\pi\) |
0.940305 | + | 0.340332i | \(0.110539\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.85172 | − | 0.405257i | 0.994510 | − | 0.104637i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.19333 | + | 0.505773i | 0.774496 | + | 0.122668i | 0.531157 | − | 0.847273i | \(-0.321757\pi\) |
0.243339 | + | 0.969941i | \(0.421757\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.694208 | + | 0.955496i | 0.159262 | + | 0.219206i | 0.881189 | − | 0.472763i | \(-0.156743\pi\) |
−0.721927 | + | 0.691969i | \(0.756743\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.57821 | + | 6.90582i | 0.562613 | + | 1.50697i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.51796 | − | 4.94177i | −0.525030 | − | 1.03043i | −0.989458 | − | 0.144819i | \(-0.953740\pi\) |
0.464428 | − | 0.885611i | \(-0.346260\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.41891 | + | 4.37594i | −0.483782 | + | 0.875189i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.98429 | − | 1.46864i | 0.959226 | − | 0.282639i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.77941 | + | 4.92553i | 1.25890 | + | 0.914648i | 0.998703 | − | 0.0509065i | \(-0.0162111\pi\) |
0.260201 | + | 0.965554i | \(0.416211\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.19212 | − | 4.49884i | 1.11214 | − | 0.808015i | 0.129139 | − | 0.991627i | \(-0.458779\pi\) |
0.982999 | + | 0.183611i | \(0.0587787\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.39961 | + | 3.70646i | −0.591796 | + | 0.645213i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −9.21471 | − | 2.37731i | −1.55757 | − | 0.401839i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.57635 | − | 4.36987i | −1.40994 | − | 0.718402i | −0.427335 | − | 0.904093i | \(-0.640548\pi\) |
−0.982608 | + | 0.185691i | \(0.940548\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.960839 | + | 1.20913i | 0.153857 | + | 0.193615i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.73412 | + | 2.83789i | −1.36404 | + | 0.443204i | −0.897390 | − | 0.441238i | \(-0.854540\pi\) |
−0.466651 | + | 0.884442i | \(0.654540\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.45614 | − | 1.45614i | −0.222059 | − | 0.222059i | 0.587306 | − | 0.809365i | \(-0.300188\pi\) |
−0.809365 | + | 0.587306i | \(0.800188\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.13089 | + | 6.36076i | −0.317655 | + | 0.948206i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.10756 | − | 6.99286i | −0.161554 | − | 1.02001i | −0.926603 | − | 0.376041i | \(-0.877285\pi\) |
0.765049 | − | 0.643973i | \(-0.222715\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 11.1125i | − | 1.58750i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.09305 | + | 4.66824i | −0.433114 | + | 0.653684i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.56331 | − | 0.405989i | 0.352098 | − | 0.0557668i | 0.0221195 | − | 0.999755i | \(-0.492959\pi\) |
0.329978 | + | 0.943989i | \(0.392959\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.40906 | − | 6.33824i | −0.189998 | − | 0.854648i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.00478 | + | 0.406879i | −0.265540 | + | 0.0538924i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.44583 | + | 10.6052i | 0.448609 | + | 1.38068i | 0.878477 | + | 0.477785i | \(0.158560\pi\) |
−0.429867 | + | 0.902892i | \(0.641440\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.69549 | + | 8.29586i | −0.345122 | + | 1.06218i | 0.616397 | + | 0.787436i | \(0.288592\pi\) |
−0.961519 | + | 0.274740i | \(0.911408\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −12.7357 | − | 0.902808i | −1.60454 | − | 0.113743i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.99003 | + | 0.122889i | −0.246833 | + | 0.0152425i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.616819 | − | 3.89444i | 0.0753564 | − | 0.475782i | −0.920933 | − | 0.389720i | \(-0.872572\pi\) |
0.996290 | − | 0.0860617i | \(-0.0274282\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 9.59749 | − | 0.414436i | 1.15540 | − | 0.0498923i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.265914 | + | 0.366000i | −0.0315582 | + | 0.0434362i | −0.824505 | − | 0.565855i | \(-0.808546\pi\) |
0.792946 | + | 0.609292i | \(0.208546\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.68754 | + | 1.36937i | −0.314553 | + | 0.160273i | −0.604139 | − | 0.796879i | \(-0.706483\pi\) |
0.289585 | + | 0.957152i | \(0.406483\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −5.15616 | − | 6.95802i | −0.595383 | − | 0.803442i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 11.0110 | − | 5.61041i | 1.25483 | − | 0.639366i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.07296 | − | 2.85319i | 0.233227 | − | 0.321009i | −0.676322 | − | 0.736606i | \(-0.736427\pi\) |
0.909549 | + | 0.415597i | \(0.136427\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.26961 | + | 8.91000i | −0.141067 | + | 0.990000i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −2.20859 | + | 13.9445i | −0.242424 | + | 1.53060i | 0.503161 | + | 0.864193i | \(0.332170\pi\) |
−0.745585 | + | 0.666411i | \(0.767830\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.65357 | − | 6.72490i | −0.287820 | − | 0.729418i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −12.6360 | + | 7.14112i | −1.35472 | + | 0.765608i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.41968 | + | 7.44701i | −0.256486 | + | 0.789382i | 0.737048 | + | 0.675841i | \(0.236219\pi\) |
−0.993533 | + | 0.113541i | \(0.963781\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.17266 | − | 3.60908i | −0.122928 | − | 0.378335i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.63679 | + | 12.9920i | 0.273422 | + | 1.34721i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.05164 | − | 2.42251i | 0.107896 | − | 0.248544i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.51448 | + | 0.239870i | −0.153772 | + | 0.0243551i | −0.232846 | − | 0.972514i | \(-0.574804\pi\) |
0.0790736 | + | 0.996869i | \(0.474804\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.39608 | − | 8.02199i | −0.341319 | − | 0.806240i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 4.19521i | 0.417439i | 0.977976 | + | 0.208719i | \(0.0669296\pi\) | ||||
−0.977976 | + | 0.208719i | \(0.933070\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.94153 | + | 18.5721i | 0.289838 | + | 1.82996i | 0.516854 | + | 0.856074i | \(0.327103\pi\) |
−0.227016 | + | 0.973891i | \(0.572897\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 10.3717 | − | 12.8108i | 1.01217 | − | 1.25020i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1.62455 | + | 1.62455i | 0.157051 | + | 0.157051i | 0.781259 | − | 0.624208i | \(-0.214578\pi\) |
−0.624208 | + | 0.781259i | \(0.714578\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.44163 | + | 0.793334i | −0.233866 | + | 0.0759876i | −0.423605 | − | 0.905847i | \(-0.639236\pi\) |
0.189740 | + | 0.981834i | \(0.439236\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 13.0524 | − | 10.3722i | 1.23888 | − | 0.984485i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −4.59551 | − | 2.34153i | −0.432310 | − | 0.220273i | 0.224274 | − | 0.974526i | \(-0.427999\pi\) |
−0.656583 | + | 0.754253i | \(0.727999\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.65736 | + | 10.4635i | −0.620802 | + | 0.975729i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.59615 | + | 0.644657i | −0.240014 | + | 0.0595985i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 11.1319 | − | 8.08782i | 1.02046 | − | 0.741409i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.07776 | − | 1.50958i | −0.188888 | − | 0.137235i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.80822 | − | 15.8034i | 0.163042 | − | 1.42494i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 11.1760 | − | 0.312362i | 0.999610 | − | 0.0279385i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.30372 | + | 12.3717i | 0.559364 | + | 1.09781i | 0.981532 | + | 0.191297i | \(0.0612693\pi\) |
−0.422168 | + | 0.906518i | \(0.638731\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 3.34151 | − | 1.24752i | 0.294204 | − | 0.109838i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −6.21317 | − | 8.55169i | −0.542847 | − | 0.747165i | 0.446173 | − | 0.894947i | \(-0.352787\pi\) |
−0.989020 | + | 0.147782i | \(0.952787\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.96455 | + | 0.786308i | 0.430481 | + | 0.0681815i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −8.49084 | − | 7.93130i | −0.730775 | − | 0.682618i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 9.93006 | − | 19.4888i | 0.848382 | − | 1.66504i | 0.106701 | − | 0.994291i | \(-0.465971\pi\) |
0.741681 | − | 0.670752i | \(-0.234029\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 13.6780 | + | 4.44425i | 1.16015 | + | 0.376956i | 0.824958 | − | 0.565193i | \(-0.191198\pi\) |
0.335193 | + | 0.942150i | \(0.391198\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 11.8154 | + | 3.28279i | 0.995037 | + | 0.276461i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.83082 | − | 1.83082i | 0.153101 | − | 0.153101i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.78499 | − | 18.6526i | 0.148235 | − | 1.54902i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 17.5106 | + | 7.99014i | 1.44425 | + | 0.659016i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −19.6307 | −1.60821 | −0.804106 | − | 0.594487i | \(-0.797355\pi\) | ||||
−0.804106 | + | 0.594487i | \(0.797355\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.05432 | 0.574072 | 0.287036 | − | 0.957920i | \(-0.407330\pi\) | ||||
0.287036 | + | 0.957920i | \(0.407330\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −5.13203 | − | 8.23047i | −0.414900 | − | 0.665394i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −15.6991 | − | 6.81521i | −1.26098 | − | 0.547411i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −12.4751 | + | 12.4751i | −0.995620 | + | 0.995620i | −0.999990 | − | 0.00437087i | \(-0.998609\pi\) |
0.00437087 | + | 0.999990i | \(0.498609\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1.20334 | + | 4.33107i | −0.0954312 | + | 0.343476i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −22.4490 | − | 7.29412i | −1.76923 | − | 0.574857i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.70822 | − | 9.24039i | 0.368776 | − | 0.723764i | −0.629820 | − | 0.776741i | \(-0.716871\pi\) |
0.998596 | + | 0.0529778i | \(0.0168712\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 11.0007 | + | 2.33701i | 0.856400 | + | 0.181936i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −4.64134 | − | 0.735116i | −0.359158 | − | 0.0568850i | −0.0257518 | − | 0.999668i | \(-0.508198\pi\) |
−0.333406 | + | 0.942783i | \(0.608198\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.17388 | + | 9.87400i | 0.551837 | + | 0.759538i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.800343 | − | 3.45160i | 0.0612037 | − | 0.263950i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 5.89408 | + | 11.5678i | 0.448119 | + | 0.879483i | 0.998992 | + | 0.0448938i | \(0.0142949\pi\) |
−0.550873 | + | 0.834589i | \(0.685705\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.88942 | + | 20.4482i | 0.445198 | + | 1.54574i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −19.1888 | − | 2.19559i | −1.44232 | − | 0.165030i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 9.64168 | + | 7.00509i | 0.720653 | + | 0.523585i | 0.886593 | − | 0.462551i | \(-0.153066\pi\) |
−0.165940 | + | 0.986136i | \(0.553066\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.03092 | − | 1.47555i | 0.150957 | − | 0.109677i | −0.509743 | − | 0.860327i | \(-0.670259\pi\) |
0.660700 | + | 0.750650i | \(0.270259\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −11.1341 | − | 10.2123i | −0.823058 | − | 0.754918i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.32658 | + | 21.4823i | 0.0975320 | + | 1.57941i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 8.36495 | + | 4.26215i | 0.611705 | + | 0.311679i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 10.5799 | − | 19.4192i | 0.769571 | − | 1.41254i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.35419 | − | 1.41476i | 0.315058 | − | 0.102369i | −0.147219 | − | 0.989104i | \(-0.547032\pi\) |
0.462278 | + | 0.886735i | \(0.347032\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.834752 | − | 0.834752i | −0.0600868 | − | 0.0600868i | 0.676425 | − | 0.736512i | \(-0.263528\pi\) |
−0.736512 | + | 0.676425i | \(0.763528\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.23724 | − | 3.22416i | 0.0886004 | − | 0.230887i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −3.31070 | − | 20.9029i | −0.235878 | − | 1.48927i | −0.766819 | − | 0.641863i | \(-0.778162\pi\) |
0.530941 | − | 0.847409i | \(-0.321838\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 12.1010i | − | 0.857815i | −0.903348 | − | 0.428908i | \(-0.858899\pi\) | ||
0.903348 | − | 0.428908i | \(-0.141101\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 5.69318 | + | 3.77215i | 0.401566 | + | 0.266067i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 35.2244 | − | 5.57899i | 2.47227 | − | 0.391569i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 15.3879 | + | 13.5980i | 1.07474 | + | 0.949723i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −6.24777 | + | 15.4213i | −0.434250 | + | 1.07185i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.05977 | + | 3.26164i | 0.0733059 | + | 0.225612i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.11917 | + | 18.8329i | −0.421261 | + | 1.29651i | 0.485269 | + | 0.874365i | \(0.338722\pi\) |
−0.906530 | + | 0.422142i | \(0.861278\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.385527 | − | 0.682179i | −0.0264159 | − | 0.0467421i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.15031 | + | 4.45871i | −0.0784503 | + | 0.304082i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.09569 | − | 32.1729i | 0.345918 | − | 2.18404i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −0.225388 | − | 5.21952i | −0.0152303 | − | 0.352703i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.69451 | − | 2.33229i | 0.113985 | − | 0.156887i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.45454 | + | 3.28875i | −0.432228 | + | 0.220231i | −0.656548 | − | 0.754285i | \(-0.727984\pi\) |
0.224320 | + | 0.974516i | \(0.427984\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 14.6715 | − | 3.12188i | 0.978102 | − | 0.208125i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1.65327 | + | 0.842383i | −0.109731 | + | 0.0559109i | −0.507995 | − | 0.861360i | \(-0.669613\pi\) |
0.398263 | + | 0.917271i | \(0.369613\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.9886 | + | 19.2537i | −0.924394 | + | 1.27232i | 0.0376122 | + | 0.999292i | \(0.488025\pi\) |
−0.962006 | + | 0.273027i | \(0.911975\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.923430 | + | 21.3847i | 0.0607573 | + | 1.40701i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.810240 | − | 5.11565i | 0.0530806 | − | 0.335138i | −0.946830 | − | 0.321735i | \(-0.895734\pi\) |
0.999910 | − | 0.0134021i | \(-0.00426616\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.2100 | + | 10.0772i | −0.796493 | + | 0.657364i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 3.00542 | + | 5.31800i | 0.195223 | + | 0.345441i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.51663 | + | 4.66771i | −0.0981026 | + | 0.301929i | −0.988050 | − | 0.154135i | \(-0.950741\pi\) |
0.889947 | + | 0.456064i | \(0.150741\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.76890 | + | 5.44413i | 0.113945 | + | 0.350687i | 0.991726 | − | 0.128376i | \(-0.0409765\pi\) |
−0.877780 | + | 0.479063i | \(0.840976\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −13.1271 | − | 8.40709i | −0.842104 | − | 0.539315i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −21.4026 | + | 12.6240i | −1.36736 | + | 0.806520i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.04014 | − | 0.164742i | 0.0661827 | − | 0.0104823i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −20.3850 | − | 13.5066i | −1.29185 | − | 0.855945i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 20.3411i | − | 1.28392i | −0.766738 | − | 0.641961i | \(-0.778121\pi\) | ||
0.766738 | − | 0.641961i | \(-0.221879\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.51937 | − | 15.9067i | −0.158392 | − | 1.00005i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 12.5048 | + | 0.653980i | 0.783080 | + | 0.0409538i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 16.9061 | + | 16.9061i | 1.05458 | + | 1.05458i | 0.998422 | + | 0.0561541i | \(0.0178838\pi\) |
0.0561541 | + | 0.998422i | \(0.482116\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −38.9598 | + | 12.6588i | −2.42085 | + | 0.786581i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.16709 | − | 25.0459i | −0.134139 | − | 1.55030i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 9.39006 | + | 4.78447i | 0.579016 | + | 0.295023i | 0.718865 | − | 0.695150i | \(-0.244662\pi\) |
−0.139850 | + | 0.990173i | \(0.544662\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.69391 | − | 4.47571i | −0.226915 | − | 0.274941i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −9.99486 | − | 9.16740i | −0.611676 | − | 0.561036i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −6.24078 | + | 4.53419i | −0.380507 | + | 0.276454i | −0.761554 | − | 0.648101i | \(-0.775563\pi\) |
0.381048 | + | 0.924555i | \(0.375563\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −16.4232 | − | 11.9322i | −0.997641 | − | 0.724828i | −0.0360598 | − | 0.999350i | \(-0.511481\pi\) |
−0.961581 | + | 0.274521i | \(0.911481\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 6.53021 | + | 0.747187i | 0.395226 | + | 0.0452218i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −10.6067 | + | 9.91422i | −0.639607 | + | 0.597850i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.84515 | + | 17.3596i | 0.531453 | + | 1.04304i | 0.988161 | + | 0.153419i | \(0.0490285\pi\) |
−0.456708 | + | 0.889617i | \(0.650971\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −22.3682 | − | 5.18665i | −1.33915 | − | 0.310516i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.43495 | − | 1.97505i | −0.0856022 | − | 0.117821i | 0.764068 | − | 0.645136i | \(-0.223199\pi\) |
−0.849670 | + | 0.527314i | \(0.823199\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.06450 | − | 1.27729i | −0.479385 | − | 0.0759271i | −0.0879343 | − | 0.996126i | \(-0.528027\pi\) |
−0.391450 | + | 0.920199i | \(0.628027\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 3.06112 | + | 3.39897i | 0.181325 | + | 0.201338i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −17.7439 | + | 34.8244i | −1.04739 | + | 2.05562i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.22643 | − | 2.02309i | −0.366260 | − | 0.119005i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.710971 | − | 2.55892i | 0.0416779 | − | 0.150007i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 11.2030 | − | 11.2030i | 0.654488 | − | 0.654488i | −0.299582 | − | 0.954070i | \(-0.596847\pi\) |
0.954070 | + | 0.299582i | \(0.0968473\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 16.5110 | − | 18.6844i | 0.961307 | − | 1.08785i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 15.0826 | + | 0.416608i | 0.875179 | + | 0.0241741i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −4.94542 | −0.286001 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.76407 | −0.505153 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −6.61062 | − | 3.01645i | −0.379770 | − | 0.173291i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 19.0399 | − | 4.23278i | 1.09022 | − | 0.242368i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.43888 | + | 2.43888i | −0.139194 | + | 0.139194i | −0.773270 | − | 0.634076i | \(-0.781380\pi\) |
0.634076 | + | 0.773270i | \(0.281380\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −31.3801 | − | 8.71865i | −1.78515 | − | 0.495987i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.68418 | + | 3.14658i | 0.549139 | + | 0.178426i | 0.570429 | − | 0.821347i | \(-0.306777\pi\) |
−0.0212893 | + | 0.999773i | \(0.506777\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.29485 | + | 2.54128i | −0.0731892 | + | 0.143642i | −0.924702 | − | 0.380692i | \(-0.875686\pi\) |
0.851513 | + | 0.524334i | \(0.175686\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 12.7292 | + | 25.5544i | 0.717209 | + | 1.43983i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −23.8744 | − | 3.78133i | −1.34092 | − | 0.212381i | −0.555589 | − | 0.831457i | \(-0.687507\pi\) |
−0.785331 | + | 0.619076i | \(0.787507\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 14.3025 | + | 19.6857i | 0.800786 | + | 1.10219i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3.72798 | + | 1.39180i | −0.208075 | + | 0.0776828i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.73357 | + | 3.40232i | 0.0964584 | + | 0.189310i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.49740 | + | 3.69319i | 0.138531 | + | 0.204861i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.505489 | − | 4.41784i | 0.0279536 | − | 0.244307i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −24.3771 | − | 17.7110i | −1.34395 | − | 0.976439i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.91086 | − | 5.02103i | 0.379855 | − | 0.275981i | −0.381431 | − | 0.924397i | \(-0.624568\pi\) |
0.761286 | + | 0.648417i | \(0.224568\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 6.95903 | + | 28.0253i | 0.381352 | + | 1.53578i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −8.20139 | + | 3.23618i | −0.448090 | + | 0.176811i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.29999 | − | 1.68143i | −0.179762 | − | 0.0915932i | 0.361794 | − | 0.932258i | \(-0.382164\pi\) |
−0.541556 | + | 0.840665i | \(0.682164\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 6.99396 | − | 5.55779i | 0.379860 | − | 0.301858i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 21.1372 | − | 6.86788i | 1.14464 | − | 0.371917i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.3760 | − | 12.3760i | −0.668240 | − | 0.668240i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −11.7012 | − | 18.0139i | −0.629969 | − | 0.969836i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.58515 | + | 10.0082i | 0.0850953 | + | 0.537270i | 0.993002 | + | 0.118098i | \(0.0376797\pi\) |
−0.907907 | + | 0.419172i | \(0.862320\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 10.8302i | − | 0.579729i | −0.957068 | − | 0.289864i | \(-0.906390\pi\) | ||
0.957068 | − | 0.289864i | \(-0.0936102\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.850874 | − | 4.55443i | 0.0454163 | − | 0.243097i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −13.1776 | + | 2.08713i | −0.701375 | + | 0.111087i | −0.496929 | − | 0.867791i | \(-0.665539\pi\) |
−0.204445 | + | 0.978878i | \(0.565539\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.00700 | + | 0.0963659i | 0.0534459 | + | 0.00511457i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 4.74031 | + | 23.3565i | 0.250884 | + | 1.23616i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 10.0379 | + | 30.8935i | 0.529781 | + | 1.63050i | 0.754663 | + | 0.656113i | \(0.227800\pi\) |
−0.224882 | + | 0.974386i | \(0.572200\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.44028 | − | 16.7434i | 0.286330 | − | 0.881234i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.87269 | − | 2.18862i | 0.203264 | − | 0.114873i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.69051 | + | 3.62056i | 0.297855 | + | 0.189509i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.65984 | + | 10.4798i | −0.0866430 | + | 0.547042i | 0.905738 | + | 0.423837i | \(0.139317\pi\) |
−0.992381 | + | 0.123205i | \(0.960683\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 23.6021 | + | 14.2123i | 1.22867 | + | 0.739863i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 6.49216 | − | 8.93569i | 0.337056 | − | 0.463918i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.2945 | − | 7.28340i | 0.740140 | − | 0.377120i | −0.0429097 | − | 0.999079i | \(-0.513663\pi\) |
0.783050 | + | 0.621959i | \(0.213663\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −7.54358 | + | 17.8352i | −0.389549 | + | 0.921006i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 6.65759 | − | 3.39221i | 0.342883 | − | 0.174708i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.2024 | − | 25.0535i | 0.934995 | − | 1.28691i | −0.0228835 | − | 0.999738i | \(-0.507285\pi\) |
0.957879 | − | 0.287173i | \(-0.0927153\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −24.0274 | + | 1.03754i | −1.23096 | + | 0.0531550i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 4.80077 | − | 30.3108i | 0.245308 | − | 1.54881i | −0.490391 | − | 0.871503i | \(-0.663146\pi\) |
0.735698 | − | 0.677309i | \(-0.236854\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −23.3144 | − | 14.8337i | −1.18821 | − | 0.755994i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.436841 | + | 6.16240i | −0.0222059 | + | 0.313252i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 7.88532 | − | 24.2685i | 0.399802 | − | 1.23046i | −0.525357 | − | 0.850882i | \(-0.676068\pi\) |
0.925159 | − | 0.379581i | \(-0.123932\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.54125 | − | 17.0542i | −0.280233 | − | 0.862468i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 17.9428 | − | 3.64157i | 0.905094 | − | 0.183693i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −7.85016 | − | 0.751231i | −0.394984 | − | 0.0377985i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.20587 | − | 1.29968i | 0.411841 | − | 0.0652292i | 0.0529236 | − | 0.998599i | \(-0.483146\pi\) |
0.358917 | + | 0.933369i | \(0.383146\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −4.80866 | + | 7.25755i | −0.240734 | + | 0.363332i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 17.6021i | − | 0.879008i | −0.898241 | − | 0.439504i | \(-0.855154\pi\) | ||
0.898241 | − | 0.439504i | \(-0.144846\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.06762 | − | 6.74067i | −0.0531818 | − | 0.335777i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 18.6029 | − | 7.67670i | 0.924386 | − | 0.381458i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −19.7636 | − | 19.7636i | −0.979644 | − | 0.979644i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.6004 | + | 4.74394i | −0.721941 | + | 0.234573i | −0.646865 | − | 0.762605i | \(-0.723920\pi\) |
−0.0750765 | + | 0.997178i | \(0.523920\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 23.5697 | + | 29.6603i | 1.16261 | + | 1.46303i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 42.2846 | + | 21.5451i | 2.08069 | + | 1.06016i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 29.3660 | − | 11.5875i | 1.44152 | − | 0.568807i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −16.8378 | + | 18.3576i | −0.824552 | + | 0.898977i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −7.27149 | + | 5.28305i | −0.355236 | + | 0.258094i | −0.751062 | − | 0.660232i | \(-0.770458\pi\) |
0.395827 | + | 0.918325i | \(0.370458\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 22.8808 | + | 16.6239i | 1.11514 | + | 0.810199i | 0.983466 | − | 0.181093i | \(-0.0579636\pi\) |
0.131678 | + | 0.991293i | \(0.457964\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −13.6684 | + | 16.2578i | −0.664582 | + | 0.790481i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −9.93760 | + | 12.7504i | −0.482045 | + | 0.618485i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 16.8535 | + | 33.0769i | 0.815599 | + | 1.60070i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 1.56852 | + | 4.20132i | 0.0757289 | + | 0.202842i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −18.6234 | − | 25.6329i | −0.897059 | − | 1.23470i | −0.971397 | − | 0.237462i | \(-0.923684\pi\) |
0.0743381 | − | 0.997233i | \(-0.476316\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.79670 | + | 1.39326i | 0.422743 | + | 0.0669559i | 0.364182 | − | 0.931328i | \(-0.381349\pi\) |
0.0585611 | + | 0.998284i | \(0.481349\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 28.1085 | + | 16.2244i | 1.34770 | + | 0.777899i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2.97385 | − | 5.83651i | 0.142259 | − | 0.279198i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 35.2858 | + | 11.4651i | 1.68410 | + | 0.547198i | 0.985700 | − | 0.168509i | \(-0.0538953\pi\) |
0.698401 | + | 0.715707i | \(0.253895\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −25.1810 | + | 21.8473i | −1.19910 | + | 1.04035i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.101009 | + | 0.101009i | −0.00479907 | + | 0.00479907i | −0.709502 | − | 0.704703i | \(-0.751080\pi\) |
0.704703 | + | 0.709502i | \(0.251080\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 17.0917 | − | 3.79968i | 0.810225 | − | 0.180122i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 14.1149 | − | 30.9332i | 0.667614 | − | 1.46309i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −5.09561 | −0.240477 | −0.120238 | − | 0.992745i | \(-0.538366\pi\) | ||||
−0.120238 | + | 0.992745i | \(0.538366\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −26.6669 | −1.25569 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −5.07222 | + | 11.1159i | −0.238314 | + | 0.522270i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.61891 | + | 6.35854i | −0.263418 | + | 0.298093i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.17964 | − | 9.17964i | 0.429406 | − | 0.429406i | −0.459020 | − | 0.888426i | \(-0.651799\pi\) |
0.888426 | + | 0.459020i | \(0.151799\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 16.6593 | − | 2.16892i | 0.777587 | − | 0.101236i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 2.89432 | + | 0.940423i | 0.134802 | + | 0.0437999i | 0.375641 | − | 0.926765i | \(-0.377423\pi\) |
−0.240839 | + | 0.970565i | \(0.577423\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.81952 | − | 7.49623i | 0.177508 | − | 0.348380i | −0.785060 | − | 0.619420i | \(-0.787368\pi\) |
0.962568 | + | 0.271041i | \(0.0873678\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 22.0271 | − | 19.8377i | 1.02148 | − | 0.919951i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −3.67547 | − | 0.582137i | −0.170080 | − | 0.0269381i | 0.0708133 | − | 0.997490i | \(-0.477441\pi\) |
−0.240894 | + | 0.970551i | \(0.577441\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −9.86354 | − | 13.5760i | −0.455456 | − | 0.626882i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −10.6878 | − | 28.6275i | −0.492468 | − | 1.31909i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −2.71470 | − | 5.32791i | −0.124822 | − | 0.244977i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.86042 | + | 0.726559i | −0.268895 | + | 0.0333368i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.95947 | − | 5.01031i | −0.272865 | − | 0.229406i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 19.2357 | + | 13.9755i | 0.878900 | + | 0.638558i | 0.932960 | − | 0.359980i | \(-0.117216\pi\) |
−0.0540606 | + | 0.998538i | \(0.517216\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.94354 | + | 5.04478i | −0.316598 | + | 0.230022i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 27.6351 | − | 30.1295i | 1.25744 | − | 1.37094i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.18247 | + | 2.64439i | 0.0991010 | + | 0.120075i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −36.1675 | − | 18.4282i | −1.63890 | − | 0.835063i | −0.997707 | − | 0.0676872i | \(-0.978438\pi\) |
−0.641197 | − | 0.767376i | \(-0.721562\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 11.1753 | + | 14.0631i | 0.505364 | + | 0.635953i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −22.0112 | + | 7.15186i | −0.993350 | + | 0.322759i | −0.760205 | − | 0.649683i | \(-0.774902\pi\) |
−0.233145 | + | 0.972442i | \(0.574902\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 19.1577 | + | 19.1577i | 0.862818 | + | 0.862818i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −11.5923 | + | 15.6540i | −0.521035 | + | 0.703594i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.301193 | + | 1.90166i | 0.0135103 | + | 0.0853010i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 35.2669i | − | 1.57876i | −0.613904 | − | 0.789381i | \(-0.710402\pi\) | ||
0.613904 | − | 0.789381i | \(-0.289598\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.49560 | − | 6.78505i | 0.200848 | − | 0.303134i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −25.0737 | + | 3.97129i | −1.11798 | + | 0.177071i | −0.687961 | − | 0.725748i | \(-0.741494\pi\) |
−0.430021 | + | 0.902819i | \(0.641494\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.07995 | − | 4.76585i | 0.359553 | − | 0.212078i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −20.7172 | + | 4.20464i | −0.920083 | + | 0.186735i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.80435 | + | 5.55322i | 0.0799765 | + | 0.246142i | 0.983048 | − | 0.183348i | \(-0.0586934\pi\) |
−0.903072 | + | 0.429490i | \(0.858693\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.96685 | + | 12.2087i | −0.175483 | + | 0.540082i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 4.86341 | + | 3.74292i | 0.214725 | + | 0.165254i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 32.4281 | − | 26.7637i | 1.42895 | − | 1.17935i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.21608 | − | 20.3055i | 0.141443 | − | 0.893035i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −22.4660 | + | 0.970121i | −0.986148 | + | 0.0425836i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5.69171 | + | 7.83396i | −0.249358 | + | 0.343212i | −0.915286 | − | 0.402804i | \(-0.868036\pi\) |
0.665928 | + | 0.746016i | \(0.268036\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.993315 | + | 0.506119i | −0.0434346 | + | 0.0221310i | −0.475573 | − | 0.879676i | \(-0.657759\pi\) |
0.432138 | + | 0.901807i | \(0.357759\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −36.4559 | − | 5.42242i | −1.59107 | − | 0.236654i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 22.0489 | − | 11.2345i | 0.960464 | − | 0.489381i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.56191 | + | 6.27893i | −0.198344 | + | 0.272997i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 17.2569 | − | 28.6582i | 0.748886 | − | 1.24366i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.28099 | + | 8.08788i | −0.0554860 | + | 0.350325i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.28335 | − | 4.97439i | 0.0554840 | − | 0.215062i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −17.9709 | + | 10.1561i | −0.775502 | + | 0.438268i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 9.97132 | − | 30.6886i | 0.429495 | − | 1.32185i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −9.75500 | − | 30.0228i | −0.419400 | − | 1.29078i | −0.908255 | − | 0.418417i | \(-0.862585\pi\) |
0.488855 | − | 0.872365i | \(-0.337415\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0.864828 | + | 4.26120i | 0.0371133 | + | 0.182865i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 4.30170 | + | 3.80132i | 0.184265 | + | 0.162831i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −30.7784 | + | 4.87482i | −1.31599 | + | 0.208432i | −0.774660 | − | 0.632378i | \(-0.782079\pi\) |
−0.541330 | + | 0.840810i | \(0.682079\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 24.0978 | − | 10.2017i | 1.02847 | − | 0.435399i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 9.89704i | 0.421628i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.34798 | − | 14.8246i | −0.0998463 | − | 0.630405i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −34.8046 | − | 13.3559i | −1.47738 | − | 0.566926i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −11.9164 | − | 11.9164i | −0.504915 | − | 0.504915i | 0.408046 | − | 0.912961i | \(-0.366210\pi\) |
−0.912961 | + | 0.408046i | \(0.866210\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.74632 | + | 0.567415i | −0.0738616 | + | 0.0239991i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −12.7307 | + | 10.1165i | −0.537491 | + | 0.427120i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −16.5294 | − | 8.42215i | −0.696631 | − | 0.354951i | 0.0695477 | − | 0.997579i | \(-0.477844\pi\) |
−0.766179 | + | 0.642627i | \(0.777844\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.710828 | + | 11.5110i | 0.0299047 | + | 0.484270i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 22.9927 | + | 30.6341i | 0.965602 | + | 1.28651i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −1.23297 | + | 0.895803i | −0.0516887 | + | 0.0375540i | −0.613330 | − | 0.789827i | \(-0.710170\pi\) |
0.561641 | + | 0.827381i | \(0.310170\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 24.3901 | + | 17.7205i | 1.02070 | + | 0.741579i | 0.966425 | − | 0.256948i | \(-0.0827168\pi\) |
0.0542700 | + | 0.998526i | \(0.482717\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −0.901447 | + | 7.87839i | −0.0376585 | + | 0.329125i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 27.7156 | + | 0.935252i | 1.15582 | + | 0.0390027i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16.3743 | + | 32.1363i | 0.681669 | + | 1.33785i | 0.929419 | + | 0.369027i | \(0.120309\pi\) |
−0.247749 | + | 0.968824i | \(0.579691\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.91557 | − | 0.715159i | 0.0796085 | − | 0.0297210i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 35.3175 | + | 48.6103i | 1.46522 | + | 2.01670i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.44321 | + | 1.17889i | 0.308266 | + | 0.0488245i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 4.19089 | + | 4.26783i | 0.173272 | + | 0.176453i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −7.58856 | + | 14.8934i | −0.313213 | + | 0.614716i | −0.992922 | − | 0.118766i | \(-0.962106\pi\) |
0.679709 | + | 0.733482i | \(0.262106\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 8.59724 | + | 2.79341i | 0.354243 | + | 0.115101i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 35.3184 | + | 9.81285i | 1.45280 | + | 0.403647i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −17.3573 | + | 17.3573i | −0.712780 | + | 0.712780i | −0.967116 | − | 0.254336i | \(-0.918143\pi\) |
0.254336 | + | 0.967116i | \(0.418143\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −28.2232 | − | 12.2521i | −1.15704 | − | 0.502287i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 19.0682 | + | 8.70088i | 0.780408 | + | 0.356103i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −14.4303 | −0.589605 | −0.294802 | − | 0.955558i | \(-0.595254\pi\) | ||||
−0.294802 | + | 0.955558i | \(0.595254\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −40.6930 | −1.65990 | −0.829951 | − | 0.557837i | \(-0.811632\pi\) | ||||
−0.829951 | + | 0.557837i | \(0.811632\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −10.0375 | + | 6.25879i | −0.408759 | + | 0.254878i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.547065 | + | 5.71668i | −0.0222413 | + | 0.232416i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 31.1483 | − | 31.1483i | 1.26427 | − | 1.26427i | 0.315266 | − | 0.949003i | \(-0.397906\pi\) |
0.949003 | − | 0.315266i | \(-0.102094\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −16.5360 | + | 59.5164i | −0.670074 | + | 2.41173i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.00403 | − | 1.95083i | −0.242897 | − | 0.0789221i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −16.5958 | + | 32.5711i | −0.670299 | + | 1.31554i | 0.265878 | + | 0.964007i | \(0.414338\pi\) |
−0.936177 | + | 0.351529i | \(0.885662\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −32.4913 | + | 14.4703i | −1.31018 | + | 0.583500i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 34.4877 | + | 5.46232i | 1.38842 | + | 0.219905i | 0.805487 | − | 0.592613i | \(-0.201904\pi\) |
0.582936 | + | 0.812518i | \(0.301904\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.48931 | + | 4.80263i | 0.140247 | + | 0.193034i | 0.873363 | − | 0.487070i | \(-0.161934\pi\) |
−0.733115 | + | 0.680104i | \(0.761934\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −19.8079 | − | 20.9332i | −0.794863 | − | 0.840021i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 15.1291 | + | 29.6924i | 0.606133 | + | 1.18960i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −13.2978 | − | 21.1700i | −0.531910 | − | 0.846801i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −5.90155 | − | 0.675256i | −0.235685 | − | 0.0269671i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −25.1769 | − | 18.2921i | −1.00387 | − | 0.729354i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 21.9450 | − | 15.9440i | 0.873616 | − | 0.634719i | −0.0579392 | − | 0.998320i | \(-0.518453\pi\) |
0.931555 | + | 0.363601i | \(0.118453\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −25.2762 | − | 23.1836i | −1.00464 | − | 0.921464i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 16.6667 | − | 26.1955i | 0.661400 | − | 1.03954i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −8.82864 | − | 4.49842i | −0.349804 | − | 0.178234i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.35215 | − | 0.116995i | 0.0534902 | − | 0.00462823i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −6.43772 | + | 2.09174i | −0.254275 | + | 0.0826188i | −0.433381 | − | 0.901211i | \(-0.642679\pi\) |
0.179106 | + | 0.983830i | \(0.442679\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.88726 | − | 1.88726i | −0.0744264 | − | 0.0744264i | 0.668914 | − | 0.743340i | \(-0.266760\pi\) |
−0.743340 | + | 0.668914i | \(0.766760\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.19874 | − | 5.01852i | −0.244075 | − | 0.197604i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 1.80177 | + | 11.3759i | 0.0708349 | + | 0.447234i | 0.997459 | + | 0.0712445i | \(0.0226971\pi\) |
−0.926624 | + | 0.375989i | \(0.877303\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 32.3795i | 1.27101i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 47.0328 | + | 31.1627i | 1.84336 | + | 1.22136i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −41.2088 | + | 6.52683i | −1.61262 | + | 0.255414i | −0.896659 | − | 0.442722i | \(-0.854013\pi\) |
−0.715965 | + | 0.698136i | \(0.754013\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.41222 | + | 21.6814i | −0.367766 | + | 0.847164i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 8.38675 | + | 3.39780i | 0.327198 | + | 0.132561i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 0.104879 | + | 0.322784i | 0.00408550 | + | 0.0125739i | 0.953078 | − | 0.302723i | \(-0.0978958\pi\) |
−0.948993 | + | 0.315297i | \(0.897896\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.25007 | − | 13.0804i | 0.165308 | − | 0.508767i | −0.833750 | − | 0.552141i | \(-0.813811\pi\) |
0.999059 | + | 0.0433745i | \(0.0138109\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 2.45673 | + | 4.34710i | 0.0954115 | + | 0.168828i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −4.12542 | − | 10.4550i | −0.159977 | − | 0.405426i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.27057 | − | 45.9045i | 0.281517 | − | 1.77743i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.541303 | − | 12.5355i | −0.0209280 | − | 0.484649i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −14.8879 | + | 20.4914i | −0.574739 | + | 0.791061i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.28693 | + | 4.22240i | −0.319438 | + | 0.162762i | −0.606356 | − | 0.795193i | \(-0.707369\pi\) |
0.286918 | + | 0.957955i | \(0.407369\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −5.62986 | + | 25.3635i | −0.216694 | + | 0.976240i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 3.29687 | − | 1.67984i | 0.126709 | − | 0.0645615i | −0.389487 | − | 0.921032i | \(-0.627348\pi\) |
0.516196 | + | 0.856470i | \(0.327348\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.83576 | + | 5.27948i | −0.147203 | + | 0.202608i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.138650 | − | 3.21084i | −0.00531307 | − | 0.123040i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −1.53600 | + | 9.69792i | −0.0587734 | + | 0.371081i | 0.940718 | + | 0.339190i | \(0.110153\pi\) |
−0.999491 | + | 0.0318908i | \(0.989847\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −48.8161 | + | 3.01451i | −1.86517 | + | 0.115178i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −20.2810 | − | 35.8865i | −0.773767 | − | 1.36916i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.715098 | − | 2.20084i | 0.0272430 | − | 0.0838455i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.28572 | − | 16.2678i | −0.201078 | − | 0.618855i | −0.999852 | − | 0.0172234i | \(-0.994517\pi\) |
0.798773 | − | 0.601632i | \(-0.205483\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −34.3611 | − | 13.9210i | −1.30527 | − | 0.528816i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −6.97889 | − | 31.3925i | −0.264725 | − | 1.19078i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −29.3262 | + | 4.64482i | −1.11081 | + | 0.175935i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 7.47844 | + | 4.95501i | 0.282860 | + | 0.187416i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 33.4650i | 1.26396i | 0.774986 | + | 0.631979i | \(0.217757\pi\) | ||||
−0.774986 | + | 0.631979i | \(0.782243\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.77838 | − | 11.2283i | −0.0670730 | − | 0.423482i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −7.09993 | − | 26.4857i | −0.267399 | − | 0.997510i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 12.6249 | + | 12.6249i | 0.474808 | + | 0.474808i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.9358 | − | 4.20308i | 0.485813 | − | 0.157850i | −0.0558616 | − | 0.998439i | \(-0.517791\pi\) |
0.541674 | + | 0.840588i | \(0.317791\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −10.5408 | + | 0.912043i | −0.395312 | + | 0.0342043i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −37.8237 | − | 19.2721i | −1.41651 | − | 0.721748i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.60600 | − | 1.44630i | −0.209652 | − | 0.0540884i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −6.26467 | − | 5.74603i | −0.233958 | − | 0.214589i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 29.7221 | − | 21.5944i | 1.10845 | − | 0.805335i | 0.126030 | − | 0.992026i | \(-0.459777\pi\) |
0.982419 | + | 0.186692i | \(0.0597766\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 64.7423 | + | 47.0380i | 2.41113 | + | 1.75179i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −9.85050 | − | 1.12710i | −0.366344 | − | 0.0419171i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −37.9526 | + | 17.7519i | −1.40952 | + | 0.659289i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −4.12344 | − | 8.09270i | −0.152930 | − | 0.300142i | 0.801813 | − | 0.597576i | \(-0.203869\pi\) |
−0.954742 | + | 0.297434i | \(0.903869\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 22.6862 | − | 14.6402i | 0.840230 | − | 0.542230i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3.91344 | − | 5.38639i | −0.144744 | − | 0.199223i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −9.91162 | − | 1.56985i | −0.366094 | − | 0.0579836i | −0.0293225 | − | 0.999570i | \(-0.509335\pi\) |
−0.336771 | + | 0.941586i | \(0.609335\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −4.50342 | − | 42.8022i | −0.166111 | − | 1.57878i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 5.19793 | − | 10.2015i | 0.191468 | − | 0.375778i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −47.6656 | − | 15.4875i | −1.75341 | − | 0.569717i | −0.756924 | − | 0.653503i | \(-0.773299\pi\) |
−0.996484 | + | 0.0837861i | \(0.973299\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.488293 | + | 1.75746i | −0.0179379 | + | 0.0645620i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 0.668282 | − | 0.668282i | 0.0245169 | − | 0.0245169i | −0.694742 | − | 0.719259i | \(-0.744481\pi\) |
0.719259 | + | 0.694742i | \(0.244481\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 22.3009 | + | 37.8087i | 0.817043 | + | 1.38520i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 35.9404 | − | 22.4103i | 1.31499 | − | 0.819949i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 9.77769 | 0.357269 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 16.7359 | 0.610702 | 0.305351 | − | 0.952240i | \(-0.401226\pi\) | ||||
0.305351 | + | 0.952240i | \(0.401226\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 32.0527 | + | 14.6258i | 1.16806 | + | 0.532992i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −8.01386 | − | 13.5866i | −0.291654 | − | 0.494466i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.6049 | + | 14.6049i | −0.530826 | + | 0.530826i | −0.920818 | − | 0.389992i | \(-0.872478\pi\) |
0.389992 | + | 0.920818i | \(0.372478\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 26.8766 | + | 7.46738i | 0.975557 | + | 0.271049i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 21.2600 | + | 6.90779i | 0.770674 | + | 0.250407i | 0.667854 | − | 0.744293i | \(-0.267213\pi\) |
0.102821 | + | 0.994700i | \(0.467213\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.96032 | + | 9.73517i | −0.179575 | + | 0.352437i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −10.0217 | + | 19.2342i | −0.362337 | + | 0.695416i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 9.82050 | + | 1.55541i | 0.354598 | + | 0.0561627i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.03314 | − | 2.79838i | −0.0733169 | − | 0.100912i | 0.770784 | − | 0.637097i | \(-0.219865\pi\) |
−0.844101 | + | 0.536185i | \(0.819865\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −38.7959 | + | 14.4840i | −1.39720 | + | 0.521630i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −15.1556 | − | 29.7445i | −0.545109 | − | 1.06984i | −0.985124 | − | 0.171846i | \(-0.945027\pi\) |
0.440015 | − | 0.897990i | \(-0.354973\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.70849 | + | 37.9787i | 0.169134 | + | 1.36423i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 8.06584 | − | 70.4932i | 0.289360 | − | 2.52893i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −8.77489 | − | 6.37533i | −0.314393 | − | 0.228420i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.06277 | + | 0.772148i | −0.0380289 | + | 0.0276296i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 41.0243 | + | 14.5938i | 1.46609 | + | 0.521538i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 38.1989 | + | 9.85497i | 1.36338 | + | 0.351739i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 18.0985 | + | 9.22165i | 0.645142 | + | 0.328716i | 0.745766 | − | 0.666208i | \(-0.232084\pi\) |
−0.100624 | + | 0.994925i | \(0.532084\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −14.2908 | + | 11.3563i | −0.508767 | + | 0.404294i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −20.8761 | + | 6.78304i | −0.742267 | + | 0.241177i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.49973 | + | 5.49973i | 0.195301 | + | 0.195301i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 9.70863 | − | 2.60256i | 0.344330 | − | 0.0923031i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −5.53887 | − | 34.9710i | −0.196197 | − | 1.23874i | −0.867456 | − | 0.497515i | \(-0.834246\pi\) |
0.671259 | − | 0.741223i | \(-0.265754\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 22.8907i | − | 0.809814i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 21.6321 | − | 9.15788i | 0.764334 | − | 0.323578i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −8.65074 | + | 1.37014i | −0.305278 | + | 0.0483513i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 11.4541 | + | 51.5229i | 0.403704 | + | 1.81594i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −2.65751 | − | 13.0941i | −0.0935487 | − | 0.460935i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 9.11568 | + | 28.0552i | 0.320490 | + | 0.986367i | 0.973435 | + | 0.228962i | \(0.0735332\pi\) |
−0.652945 | + | 0.757405i | \(0.726467\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.95372 | + | 27.5567i | −0.314408 | + | 0.967647i | 0.661590 | + | 0.749866i | \(0.269882\pi\) |
−0.975998 | + | 0.217781i | \(0.930118\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 30.6109 | − | 17.2995i | 1.07357 | − | 0.606720i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −23.1456 | + | 1.42929i | −0.810754 | + | 0.0500659i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.380470 | − | 2.40219i | 0.0133110 | − | 0.0840421i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −5.87276 | + | 9.75276i | −0.205211 | + | 0.340789i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 9.77536 | − | 13.4546i | 0.341162 | − | 0.469570i | −0.603618 | − | 0.797274i | \(-0.706275\pi\) |
0.944781 | + | 0.327704i | \(0.106275\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −8.42788 | + | 4.29422i | −0.293777 | + | 0.149687i | −0.594667 | − | 0.803972i | \(-0.702716\pi\) |
0.300890 | + | 0.953659i | \(0.402716\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −7.99593 | − | 23.8421i | −0.278382 | − | 0.830076i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −21.1902 | + | 10.7969i | −0.736856 | + | 0.375447i | −0.781789 | − | 0.623543i | \(-0.785693\pi\) |
0.0449332 | + | 0.998990i | \(0.485693\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13.0582 | − | 17.9730i | 0.453529 | − | 0.624230i | −0.519622 | − | 0.854396i | \(-0.673927\pi\) |
0.973151 | + | 0.230167i | \(0.0739272\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −33.7143 | + | 1.45584i | −1.16954 | + | 0.0505026i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 5.62040 | − | 35.4858i | 0.194735 | − | 1.22951i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.85683 | + | 9.77430i | 0.133471 | + | 0.338254i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 24.2561 | − | 31.5175i | 0.838415 | − | 1.08940i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −6.41219 | + | 19.7347i | −0.221373 | + | 0.681317i | 0.777266 | + | 0.629172i | \(0.216606\pi\) |
−0.998640 | + | 0.0521452i | \(0.983394\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.7381 | + | 39.2037i | 0.439244 | + | 1.35185i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 4.14396 | − | 0.841033i | 0.142725 | − | 0.0289667i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 10.8676 | − | 25.0339i | 0.373856 | − | 0.861193i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −10.7956 | + | 1.70986i | −0.370942 | + | 0.0587514i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 7.81126 | − | 11.7893i | 0.268082 | − | 0.404607i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 53.3855i | 1.83003i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 0.650084 | + | 4.10447i | 0.0222584 | + | 0.140534i | 0.996315 | − | 0.0857709i | \(-0.0273353\pi\) |
−0.974056 | + | 0.226305i | \(0.927335\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −7.55696 | + | 2.37963i | −0.258443 | + | 0.0813818i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 32.3548 | + | 32.3548i | 1.10522 | + | 1.10522i | 0.993770 | + | 0.111449i | \(0.0355493\pi\) |
0.111449 | + | 0.993770i | \(0.464451\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.1040 | + | 4.58268i | −0.481224 | + | 0.156359i | −0.539576 | − | 0.841937i | \(-0.681415\pi\) |
0.0583522 | + | 0.998296i | \(0.481415\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −42.1164 | − | 52.9996i | −1.43532 | − | 1.80622i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −16.0284 | − | 8.16685i | −0.545612 | − | 0.278003i | 0.159382 | − | 0.987217i | \(-0.449050\pi\) |
−0.704993 | + | 0.709214i | \(0.749050\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.5837 | − | 24.4932i | 0.529862 | − | 0.832795i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 7.66484 | − | 8.35668i | 0.260312 | − | 0.283808i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 8.28494 | − | 6.01936i | 0.281047 | − | 0.204193i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.84436 | − | 2.06655i | −0.0963774 | − | 0.0700223i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 3.52104 | + | 2.96024i | 0.119169 | + | 0.100189i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 32.6925 | − | 34.5725i | 1.10521 | − | 1.16877i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.95637 | + | 7.76482i | 0.133597 | + | 0.262199i | 0.948108 | − | 0.317950i | \(-0.102994\pi\) |
−0.814510 | + | 0.580149i | \(0.802994\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 9.59800 | + | 25.7085i | 0.323732 | + | 0.867126i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 13.8523 | + | 19.0660i | 0.466695 | + | 0.642350i | 0.975880 | − | 0.218307i | \(-0.0700533\pi\) |
−0.509185 | + | 0.860657i | \(0.670053\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −18.5572 | − | 2.93918i | −0.624501 | − | 0.0989112i | −0.163839 | − | 0.986487i | \(-0.552388\pi\) |
−0.460662 | + | 0.887576i | \(0.652388\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 17.5702 | + | 39.4518i | 0.590617 | + | 1.32616i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 2.28429 | − | 4.48316i | 0.0766988 | − | 0.150530i | −0.849473 | − | 0.527633i | \(-0.823080\pi\) |
0.926171 | + | 0.377103i | \(0.123080\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 56.2012 | + | 18.2609i | 1.88493 | + | 0.612450i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −11.5012 | + | 23.4669i | −0.385304 | + | 0.786170i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 5.91277 | − | 5.91277i | 0.197863 | − | 0.197863i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.53861 | − | 26.5278i | 0.0848563 | − | 0.886725i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.55587 | − | 7.79277i | 0.118727 | − | 0.260193i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 64.1381 | 2.13913 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 8.39083 | 0.279539 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 6.30158 | − | 13.8100i | 0.209703 | − | 0.459569i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −5.14908 | − | 2.23529i | −0.171161 | − | 0.0743035i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.29109 | + | 2.29109i | −0.0760744 | + | 0.0760744i | −0.744120 | − | 0.668046i | \(-0.767131\pi\) |
0.668046 | + | 0.744120i | \(0.267131\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 9.50639 | − | 8.24783i | 0.315307 | − | 0.273563i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −7.00575 | − | 2.27631i | −0.232111 | − | 0.0754174i | 0.190652 | − | 0.981658i | \(-0.438940\pi\) |
−0.422763 | + | 0.906240i | \(0.638940\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −18.6118 | + | 36.5276i | −0.615959 | + | 1.20889i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −7.02031 | + | 33.0457i | −0.232084 | + | 1.09246i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −44.4328 | − | 7.03746i | −1.46730 | − | 0.232397i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 5.55147 | + | 7.64094i | 0.183126 | + | 0.252052i | 0.890704 | − | 0.454584i | \(-0.150212\pi\) |
−0.707578 | + | 0.706636i | \(0.750212\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.08946 | − | 5.59669i | −0.0688502 | − | 0.184417i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.183135 | + | 0.359423i | 0.00602797 | + | 0.0118305i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 39.8677 | − | 26.9593i | 1.31084 | − | 0.886417i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 36.3015 | − | 43.1785i | 1.19230 | − | 1.41817i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 33.3251 | + | 24.2121i | 1.09336 | + | 0.794374i | 0.979964 | − | 0.199176i | \(-0.0638264\pi\) |
0.113398 | + | 0.993550i | \(0.463826\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 10.6179 | − | 7.71439i | 0.347989 | − | 0.252829i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −11.9214 | + | 12.9974i | −0.390289 | + | 0.425517i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.29388 | − | 20.9527i | −0.0423143 | − | 0.685228i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 22.1064 | + | 11.2638i | 0.722184 | + | 0.367971i | 0.776130 | − | 0.630573i | \(-0.217180\pi\) |
−0.0539460 | + | 0.998544i | \(0.517180\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −3.07342 | − | 3.86761i | −0.100297 | − | 0.126215i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 52.3488 | − | 17.0091i | 1.70652 | − | 0.554482i | 0.716773 | − | 0.697307i | \(-0.245618\pi\) |
0.989748 | + | 0.142825i | \(0.0456185\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 36.0163 | + | 36.0163i | 1.17285 | + | 1.17285i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −49.4202 | + | 1.68386i | −1.60764 | + | 0.0547759i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 4.52336 | + | 28.5594i | 0.146989 | + | 0.928055i | 0.945393 | + | 0.325932i | \(0.105678\pi\) |
−0.798404 | + | 0.602123i | \(0.794322\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.68953i | 0.0873058i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 23.1247 | − | 34.9013i | 0.749870 | − | 1.13175i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −2.50232 | + | 0.396328i | −0.0810580 | + | 0.0128383i | −0.196832 | − | 0.980437i | \(-0.563065\pi\) |
0.115774 | + | 0.993276i | \(0.463065\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.67129 | − | 6.77895i | −0.248237 | − | 0.219362i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −41.3037 | + | 8.38275i | −1.33516 | + | 0.270976i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −28.7658 | − | 88.5320i | −0.928896 | − | 2.85885i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 8.52328 | − | 26.2320i | 0.274945 | − | 0.846192i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.487364 | − | 6.87512i | 0.0157051 | − | 0.221548i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −0.659431 | + | 2.55602i | −0.0212278 | + | 0.0822814i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1.85714 | + | 11.7255i | −0.0597217 | + | 0.377068i | 0.939667 | + | 0.342092i | \(0.111135\pi\) |
−0.999388 | + | 0.0349758i | \(0.988865\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −6.60771 | + | 0.285332i | −0.212270 | + | 0.00916619i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 8.55440 | − | 11.7741i | 0.274524 | − | 0.377849i | −0.649387 | − | 0.760458i | \(-0.724974\pi\) |
0.923910 | + | 0.382609i | \(0.124974\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 54.5363 | − | 27.7876i | 1.74835 | − | 0.890831i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −7.61525 | + | 1.27981i | −0.243883 | + | 0.0409867i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −10.6092 | + | 5.40565i | −0.339418 | + | 0.172942i | −0.615388 | − | 0.788224i | \(-0.711001\pi\) |
0.275971 | + | 0.961166i | \(0.411001\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −13.3645 | + | 18.3947i | −0.427132 | + | 0.587896i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 6.59797 | + | 3.97306i | 0.210657 | + | 0.126850i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −1.03511 | + | 6.53546i | −0.0330150 | + | 0.208449i | −0.998681 | − | 0.0513367i | \(-0.983652\pi\) |
0.965666 | + | 0.259785i | \(0.0836518\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −36.4979 | + | 30.1226i | −1.16292 | + | 0.959785i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 45.4359 | − | 25.6777i | 1.44624 | − | 0.817331i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −3.52940 | + | 10.8624i | −0.112228 | + | 0.345403i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.94416 | + | 15.2165i | 0.157056 | + | 0.483369i | 0.998363 | − | 0.0571879i | \(-0.0182134\pi\) |
−0.841307 | + | 0.540557i | \(0.818213\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 2.94285 | + | 14.5001i | 0.0933885 | + | 0.460146i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −23.3064 | + | 13.7470i | −0.738863 | + | 0.435808i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −30.2523 | + | 4.79149i | −0.958099 | + | 0.151748i | −0.615852 | − | 0.787862i | \(-0.711188\pi\) |
−0.342247 | + | 0.939610i | \(0.611188\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −49.1647 | − | 9.18513i | −1.55550 | − | 0.290605i |
(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 | 300.2.x.a.53.4 | yes | 80 | |
3.2 | odd | 2 | inner | 300.2.x.a.53.8 | yes | 80 | |
25.17 | odd | 20 | inner | 300.2.x.a.17.8 | yes | 80 | |
75.17 | even | 20 | inner | 300.2.x.a.17.4 | ✓ | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.x.a.17.4 | ✓ | 80 | 75.17 | even | 20 | inner | |
300.2.x.a.17.8 | yes | 80 | 25.17 | odd | 20 | inner | |
300.2.x.a.53.4 | yes | 80 | 1.1 | even | 1 | trivial | |
300.2.x.a.53.8 | yes | 80 | 3.2 | odd | 2 | inner |