Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(17,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bo (of order \(12\), degree \(4\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 17.11 | ||
Character | \(\chi\) | \(=\) | 280.17 |
Dual form | 280.2.bo.a.33.11 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 | ||||||||
\(3\) | 2.20364 | − | 0.590462i | 1.27227 | − | 0.340904i | 0.441370 | − | 0.897325i | \(-0.354493\pi\) |
0.830900 | + | 0.556422i | \(0.187826\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.352053 | − | 2.20818i | −0.157443 | − | 0.987528i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.22435 | − | 2.34541i | −0.462762 | − | 0.886483i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.90929 | − | 1.10233i | 0.636430 | − | 0.367443i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.0644824 | + | 0.111687i | −0.0194422 | + | 0.0336749i | −0.875583 | − | 0.483068i | \(-0.839522\pi\) |
0.856141 | + | 0.516743i | \(0.172856\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.748741 | − | 0.748741i | −0.207663 | − | 0.207663i | 0.595610 | − | 0.803274i | \(-0.296910\pi\) |
−0.803274 | + | 0.595610i | \(0.796910\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.07964 | − | 4.65815i | −0.536962 | − | 1.20273i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.613222 | + | 2.28858i | 0.148728 | + | 0.555061i | 0.999561 | + | 0.0296247i | \(0.00943123\pi\) |
−0.850833 | + | 0.525436i | \(0.823902\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.81023 | + | 6.59951i | 0.874127 | + | 1.51403i | 0.857690 | + | 0.514167i | \(0.171899\pi\) |
0.0164365 | + | 0.999865i | \(0.494768\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −4.08291 | − | 4.44550i | −0.890963 | − | 0.970088i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.11147 | + | 1.10166i | 0.857301 | + | 0.229713i | 0.660588 | − | 0.750748i | \(-0.270307\pi\) |
0.196712 | + | 0.980461i | \(0.436974\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.75212 | + | 1.55479i | −0.950423 | + | 0.310959i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.28303 | + | 1.28303i | −0.246918 | + | 0.246918i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 0.163226i | − | 0.0303104i | −0.999885 | − | 0.0151552i | \(-0.995176\pi\) | ||
0.999885 | − | 0.0151552i | \(-0.00482423\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.43321 | + | 4.86892i | 1.51465 | + | 0.874484i | 0.999853 | + | 0.0171718i | \(0.00546622\pi\) |
0.514797 | + | 0.857312i | \(0.327867\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.0761489 | + | 0.284192i | −0.0132558 | + | 0.0494714i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −4.74806 | + | 3.52930i | −0.802568 | + | 0.596561i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.0241304 | − | 0.0900559i | 0.00396701 | − | 0.0148051i | −0.963914 | − | 0.266214i | \(-0.914227\pi\) |
0.967881 | + | 0.251409i | \(0.0808939\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.09206 | − | 1.20785i | −0.334997 | − | 0.193411i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 11.9864i | − | 1.87195i | −0.352060 | − | 0.935977i | \(-0.614519\pi\) | ||
0.352060 | − | 0.935977i | \(-0.385481\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.76959 | − | 2.76959i | 0.422358 | − | 0.422358i | −0.463657 | − | 0.886015i | \(-0.653463\pi\) |
0.886015 | + | 0.463657i | \(0.153463\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3.10631 | − | 3.82798i | −0.463062 | − | 0.570641i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.23164 | + | 0.597966i | 0.325518 | + | 0.0872223i | 0.417877 | − | 0.908503i | \(-0.362774\pi\) |
−0.0923593 | + | 0.995726i | \(0.529441\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.00192 | + | 5.74323i | −0.571703 | + | 0.820461i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.70264 | + | 4.68110i | 0.378445 | + | 0.655485i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.96147 | − | 7.32032i | −0.269429 | − | 1.00552i | −0.959483 | − | 0.281766i | \(-0.909080\pi\) |
0.690054 | − | 0.723758i | \(-0.257587\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.269326 | + | 0.103069i | 0.0363159 | + | 0.0138978i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 12.2931 | + | 12.2931i | 1.62826 | + | 1.62826i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.13495 | + | 7.16194i | −0.538324 | + | 0.932405i | 0.460670 | + | 0.887571i | \(0.347609\pi\) |
−0.998994 | + | 0.0448333i | \(0.985724\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −11.5114 | + | 6.64609i | −1.47388 | + | 0.850945i | −0.999567 | − | 0.0294113i | \(-0.990637\pi\) |
−0.474313 | + | 0.880356i | \(0.657303\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.92306 | − | 3.12843i | −0.620247 | − | 0.394145i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.38976 | + | 1.91695i | −0.172378 | + | 0.237768i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.84682 | − | 1.83460i | 0.836472 | − | 0.224132i | 0.184937 | − | 0.982750i | \(-0.440792\pi\) |
0.651535 | + | 0.758618i | \(0.274125\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 9.71067 | 1.16903 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.50288 | −1.12778 | −0.563892 | − | 0.825848i | \(-0.690697\pi\) | ||||
−0.563892 | + | 0.825848i | \(0.690697\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.80412 | − | 0.483412i | 0.211156 | − | 0.0565791i | −0.151690 | − | 0.988428i | \(-0.548472\pi\) |
0.362846 | + | 0.931849i | \(0.381805\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −9.55389 | + | 6.23214i | −1.10319 | + | 0.719626i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.340901 | + | 0.0144937i | 0.0388493 | + | 0.00165172i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.48250 | + | 4.89737i | −0.954355 | + | 0.550997i | −0.894431 | − | 0.447206i | \(-0.852419\pi\) |
−0.0599241 | + | 0.998203i | \(0.519086\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.37673 | + | 9.31277i | −0.597414 | + | 1.03475i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −8.43870 | − | 8.43870i | −0.926267 | − | 0.926267i | 0.0711952 | − | 0.997462i | \(-0.477319\pi\) |
−0.997462 | + | 0.0711952i | \(0.977319\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.83770 | − | 2.15980i | 0.524722 | − | 0.234264i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.0963790 | − | 0.359691i | −0.0103329 | − | 0.0385629i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.37880 | + | 5.85226i | 0.358153 | + | 0.620338i | 0.987652 | − | 0.156662i | \(-0.0500734\pi\) |
−0.629500 | + | 0.777001i | \(0.716740\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.839383 | + | 2.67283i | −0.0879912 | + | 0.280189i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 21.4586 | + | 5.74983i | 2.22516 | + | 0.596229i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 13.2315 | − | 10.7371i | 1.35752 | − | 1.10160i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.61378 | + | 9.61378i | −0.976132 | + | 0.976132i | −0.999722 | − | 0.0235902i | \(-0.992490\pi\) |
0.0235902 | + | 0.999722i | \(0.492490\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.284323i | 0.0285756i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −9.52057 | − | 5.49670i | −0.947332 | − | 0.546942i | −0.0550809 | − | 0.998482i | \(-0.517542\pi\) |
−0.892251 | + | 0.451540i | \(0.850875\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.07137 | + | 7.73044i | −0.204098 | + | 0.761703i | 0.785625 | + | 0.618703i | \(0.212342\pi\) |
−0.989723 | + | 0.143000i | \(0.954325\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −8.37907 | + | 10.5808i | −0.817713 | + | 1.03258i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.51297 | − | 16.8426i | 0.436285 | − | 1.62824i | −0.301687 | − | 0.953407i | \(-0.597550\pi\) |
0.737972 | − | 0.674831i | \(-0.235784\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.75633 | − | 5.05547i | −0.838704 | − | 0.484226i | 0.0181193 | − | 0.999836i | \(-0.494232\pi\) |
−0.856824 | + | 0.515610i | \(0.827565\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 0.212699i | − | 0.0201884i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 5.02836 | − | 5.02836i | 0.473028 | − | 0.473028i | −0.429865 | − | 0.902893i | \(-0.641439\pi\) |
0.902893 | + | 0.429865i | \(0.141439\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.985219 | − | 9.46671i | 0.0918721 | − | 0.882775i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.25492 | − | 0.604204i | −0.208468 | − | 0.0558587i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.61685 | − | 4.24028i | 0.423226 | − | 0.388706i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.49168 | + | 9.51188i | 0.499244 | + | 0.864716i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −7.07750 | − | 26.4136i | −0.638156 | − | 2.38163i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 5.10626 | + | 9.94616i | 0.456718 | + | 0.889612i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.570478 | + | 0.570478i | 0.0506218 | + | 0.0506218i | 0.731965 | − | 0.681343i | \(-0.238604\pi\) |
−0.681343 | + | 0.731965i | \(0.738604\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 4.46782 | − | 7.73850i | 0.393370 | − | 0.681337i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.88606 | + | 1.66627i | −0.252156 | + | 0.145582i | −0.620751 | − | 0.784008i | \(-0.713172\pi\) |
0.368595 | + | 0.929590i | \(0.379839\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 10.8135 | − | 17.0167i | 0.937650 | − | 1.47553i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.28484 | + | 2.38146i | 0.282714 | + | 0.204963i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 15.1491 | − | 4.05920i | 1.29428 | − | 0.346801i | 0.454994 | − | 0.890495i | \(-0.349641\pi\) |
0.839283 | + | 0.543694i | \(0.182975\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.31052 | 0.111157 | 0.0555783 | − | 0.998454i | \(-0.482300\pi\) | ||||
0.0555783 | + | 0.998454i | \(0.482300\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.27080 | 0.443881 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.131905 | − | 0.0353439i | 0.0110305 | − | 0.00295560i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.360433 | + | 0.0574643i | −0.0299323 | + | 0.00477215i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −5.42761 | + | 15.0190i | −0.447662 | + | 1.23874i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 9.31791 | − | 5.37970i | 0.763353 | − | 0.440722i | −0.0671452 | − | 0.997743i | \(-0.521389\pi\) |
0.830498 | + | 0.557021i | \(0.188056\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.38384 | − | 2.39688i | 0.112615 | − | 0.195055i | −0.804209 | − | 0.594347i | \(-0.797411\pi\) |
0.916824 | + | 0.399292i | \(0.130744\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.69358 | + | 3.69358i | 0.298608 | + | 0.298608i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 7.78251 | − | 20.3362i | 0.625106 | − | 1.63344i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.18183 | − | 23.0709i | −0.493364 | − | 1.84126i | −0.539009 | − | 0.842300i | \(-0.681201\pi\) |
0.0456452 | − | 0.998958i | \(-0.485466\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −8.64475 | − | 14.9732i | −0.685573 | − | 1.18745i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.45003 | − | 10.9919i | −0.193090 | − | 0.866284i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 10.4564 | + | 2.80178i | 0.819008 | + | 0.219452i | 0.643913 | − | 0.765099i | \(-0.277310\pi\) |
0.175095 | + | 0.984552i | \(0.443977\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.654355 | + | 0.0681000i | 0.0509414 | + | 0.00530158i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −5.85335 | + | 5.85335i | −0.452946 | + | 0.452946i | −0.896331 | − | 0.443385i | \(-0.853777\pi\) |
0.443385 | + | 0.896331i | \(0.353777\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 11.8788i | − | 0.913752i | ||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 14.5497 | + | 8.40025i | 1.11264 | + | 0.642383i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.66665 | + | 9.95209i | −0.202742 | + | 0.756643i | 0.787384 | + | 0.616463i | \(0.211435\pi\) |
−0.990126 | + | 0.140180i | \(0.955232\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 9.46490 | + | 9.24206i | 0.715479 | + | 0.698634i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.88306 | + | 18.2238i | −0.367033 | + | 1.36979i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.91773 | + | 1.10720i | 0.143338 | + | 0.0827560i | 0.569954 | − | 0.821677i | \(-0.306961\pi\) |
−0.426616 | + | 0.904433i | \(0.640294\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 7.59127i | − | 0.564254i | −0.959377 | − | 0.282127i | \(-0.908960\pi\) | ||
0.959377 | − | 0.282127i | \(-0.0910400\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −21.4426 | + | 21.4426i | −1.58508 | + | 1.58508i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.207355 | − | 0.0215798i | −0.0152450 | − | 0.00158658i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.295146 | − | 0.0790841i | −0.0215832 | − | 0.00578320i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 4.58010 | + | 1.43835i | 0.333153 | + | 0.104624i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.417950 | − | 0.723911i | −0.0302418 | − | 0.0523803i | 0.850508 | − | 0.525961i | \(-0.176294\pi\) |
−0.880750 | + | 0.473581i | \(0.842961\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.11827 | + | 19.1017i | 0.368421 | + | 1.37497i | 0.862723 | + | 0.505677i | \(0.168757\pi\) |
−0.494302 | + | 0.869290i | \(0.664576\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.93063 | + | 5.04486i | −0.138255 | + | 0.361270i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −9.57769 | − | 9.57769i | −0.682382 | − | 0.682382i | 0.278154 | − | 0.960536i | \(-0.410277\pi\) |
−0.960536 | + | 0.278154i | \(0.910277\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.1367 | + | 17.5573i | −0.718571 | + | 1.24460i | 0.242995 | + | 0.970028i | \(0.421870\pi\) |
−0.961566 | + | 0.274574i | \(0.911463\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 14.0046 | − | 8.08558i | 0.987810 | − | 0.570313i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.382833 | + | 0.199847i | −0.0268696 | + | 0.0140265i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −26.4680 | + | 4.21983i | −1.84861 | + | 0.294726i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 9.06438 | − | 2.42879i | 0.630018 | − | 0.168813i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.982772 | −0.0679797 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.14495 | −0.560721 | −0.280361 | − | 0.959895i | \(-0.590454\pi\) | ||||
−0.280361 | + | 0.959895i | \(0.590454\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −20.9409 | + | 5.61110i | −1.43485 | + | 0.384466i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −7.09079 | − | 5.14070i | −0.483588 | − | 0.350593i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.09439 | − | 25.7406i | 0.0742920 | − | 1.74739i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 3.69018 | − | 2.13053i | 0.249359 | − | 0.143968i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.25441 | − | 2.17269i | 0.0843804 | − | 0.146151i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.23887 | + | 8.23887i | 0.551715 | + | 0.551715i | 0.926936 | − | 0.375220i | \(-0.122433\pi\) |
−0.375220 | + | 0.926936i | \(0.622433\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −7.35928 | + | 8.20695i | −0.490618 | + | 0.547130i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.167262 | + | 0.624229i | 0.0111015 | + | 0.0414315i | 0.971254 | − | 0.238044i | \(-0.0765062\pi\) |
−0.960153 | + | 0.279475i | \(0.909839\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.5335 | + | 18.2445i | 0.696071 | + | 1.20563i | 0.969818 | + | 0.243829i | \(0.0784036\pi\) |
−0.273747 | + | 0.961802i | \(0.588263\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.759780 | − | 0.169350i | 0.0499898 | − | 0.0111424i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −16.6188 | − | 4.45300i | −1.08874 | − | 0.291726i | −0.330566 | − | 0.943783i | \(-0.607240\pi\) |
−0.758170 | + | 0.652057i | \(0.773906\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.534761 | − | 5.13838i | 0.0348840 | − | 0.335191i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −15.8006 | + | 15.8006i | −1.02636 | + | 1.02636i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 5.00574i | − | 0.323794i | −0.986808 | − | 0.161897i | \(-0.948239\pi\) | ||
0.986808 | − | 0.161897i | \(-0.0517613\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 17.5439 | + | 10.1290i | 1.13010 | + | 0.652465i | 0.943961 | − | 0.330058i | \(-0.107068\pi\) |
0.186141 | + | 0.982523i | \(0.440402\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −4.94065 | + | 18.4388i | −0.316943 | + | 1.18285i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 14.0910 | + | 6.81504i | 0.900239 | + | 0.435397i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.08845 | − | 7.79420i | 0.132885 | − | 0.495933i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −23.5785 | − | 13.6131i | −1.49423 | − | 0.862694i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 21.8184i | − | 1.37716i | −0.725159 | − | 0.688581i | \(-0.758234\pi\) | ||
0.725159 | − | 0.688581i | \(-0.241766\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.388159 | + | 0.388159i | −0.0244033 | + | 0.0244033i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 9.38525 | − | 7.61590i | 0.587727 | − | 0.476926i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.79997 | + | 1.01820i | 0.237036 | + | 0.0635136i | 0.375381 | − | 0.926870i | \(-0.377512\pi\) |
−0.138345 | + | 0.990384i | \(0.544178\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.240762 | + | 0.0536645i | −0.0149602 | + | 0.00333455i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.179929 | − | 0.311646i | −0.0111373 | − | 0.0192904i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 3.71862 | + | 13.8781i | 0.229300 | + | 0.855759i | 0.980636 | + | 0.195839i | \(0.0627432\pi\) |
−0.751336 | + | 0.659920i | \(0.770590\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −15.4740 | + | 6.90843i | −0.950563 | + | 0.424382i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 10.9012 | + | 10.9012i | 0.667142 | + | 0.667142i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −9.12700 | + | 15.8084i | −0.556483 | + | 0.963857i | 0.441303 | + | 0.897358i | \(0.354516\pi\) |
−0.997786 | + | 0.0664991i | \(0.978817\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 21.4793 | − | 12.4011i | 1.30478 | − | 0.753313i | 0.323558 | − | 0.946208i | \(-0.395121\pi\) |
0.981219 | + | 0.192895i | \(0.0617877\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.271489 | + | 6.38557i | −0.0164312 | + | 0.386472i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.132778 | − | 0.631006i | 0.00800682 | − | 0.0380511i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.26511 | + | 2.48258i | −0.556687 | + | 0.149164i | −0.526184 | − | 0.850371i | \(-0.676378\pi\) |
−0.0305030 | + | 0.999535i | \(0.509711\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 21.4686 | 1.28529 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 8.86881 | 0.529069 | 0.264534 | − | 0.964376i | \(-0.414782\pi\) | ||||
0.264534 | + | 0.964376i | \(0.414782\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.61070 | + | 2.30723i | −0.511853 | + | 0.137151i | −0.505496 | − | 0.862829i | \(-0.668690\pi\) |
−0.00635749 | + | 0.999980i | \(0.502024\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 22.8176 | − | 31.4733i | 1.35160 | − | 1.86432i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −28.1130 | + | 14.6755i | −1.65946 | + | 0.866270i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 9.86090 | − | 5.69319i | 0.580053 | − | 0.334894i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −15.5087 | + | 26.8619i | −0.909136 | + | 1.57467i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 2.13912 | + | 2.13912i | 0.124969 | + | 0.124969i | 0.766825 | − | 0.641856i | \(-0.221835\pi\) |
−0.641856 | + | 0.766825i | \(0.721835\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 17.2706 | + | 6.60932i | 1.00553 | + | 0.384810i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.0605644 | − | 0.226030i | −0.00351431 | − | 0.0131156i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.25356 | − | 3.90329i | −0.130327 | − | 0.225733i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −9.88677 | − | 3.10487i | −0.569864 | − | 0.178962i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −24.2255 | − | 6.49119i | −1.39172 | − | 0.372909i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 18.7284 | + | 23.0794i | 1.07238 | + | 1.32152i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.58335 | − | 9.58335i | 0.546950 | − | 0.546950i | −0.378607 | − | 0.925558i | \(-0.623597\pi\) |
0.925558 | + | 0.378607i | \(0.123597\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 18.2582i | 1.03867i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 21.2979 | + | 12.2964i | 1.20769 | + | 0.697262i | 0.962255 | − | 0.272150i | \(-0.0877346\pi\) |
0.245439 | + | 0.969412i | \(0.421068\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.25975 | − | 4.70147i | 0.0712055 | − | 0.265743i | −0.921141 | − | 0.389230i | \(-0.872741\pi\) |
0.992346 | + | 0.123487i | \(0.0394078\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −5.17496 | + | 11.9724i | −0.291576 | + | 0.674567i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 0.439298 | − | 1.63948i | 0.0246734 | − | 0.0920824i | −0.952491 | − | 0.304566i | \(-0.901489\pi\) |
0.977165 | + | 0.212484i | \(0.0681552\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.0182302 | + | 0.0105252i | 0.00102070 | + | 0.000589300i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 39.7798i | − | 2.22029i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −12.7670 | + | 12.7670i | −0.710373 | + | 0.710373i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.72224 | + | 2.39397i | 0.261943 | + | 0.132793i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −22.2808 | − | 5.97013i | −1.23213 | − | 0.330149i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.32984 | − | 5.96624i | −0.0733163 | − | 0.328929i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.56877 | − | 9.64540i | −0.306087 | − | 0.530159i | 0.671415 | − | 0.741081i | \(-0.265687\pi\) |
−0.977503 | + | 0.210922i | \(0.932353\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.0531993 | − | 0.198542i | −0.00291530 | − | 0.0108801i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −6.46157 | − | 14.4731i | −0.353033 | − | 0.790751i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.23464 | − | 4.23464i | −0.230675 | − | 0.230675i | 0.582299 | − | 0.812975i | \(-0.302153\pi\) |
−0.812975 | + | 0.582299i | \(0.802153\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 8.11162 | − | 14.0497i | 0.440562 | − | 0.763077i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.08759 | + | 0.627919i | −0.0588962 | + | 0.0340037i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.3700 | + | 2.35441i | 0.991887 | + | 0.127126i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −3.41867 | − | 21.4429i | −0.184055 | − | 1.15445i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −13.1621 | + | 3.52677i | −0.706578 | + | 0.189327i | −0.594175 | − | 0.804336i | \(-0.702521\pi\) |
−0.112403 | + | 0.993663i | \(0.535855\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.43385 | −0.290868 | −0.145434 | − | 0.989368i | \(-0.546458\pi\) | ||||
−0.145434 | + | 0.989368i | \(0.546458\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.92131 | 0.102552 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −18.5104 | + | 4.95984i | −0.985208 | + | 0.263986i | −0.715236 | − | 0.698883i | \(-0.753681\pi\) |
−0.269971 | + | 0.962868i | \(0.587014\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.34552 | + | 20.9841i | 0.177562 | + | 1.11372i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 7.67014 | − | 12.0701i | 0.405947 | − | 0.638818i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −11.0456 | + | 6.37716i | −0.582963 | + | 0.336574i | −0.762310 | − | 0.647212i | \(-0.775935\pi\) |
0.179347 | + | 0.983786i | \(0.442601\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −19.5357 | + | 33.8368i | −1.02819 | + | 1.78089i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 17.7181 | + | 17.7181i | 0.929958 | + | 0.929958i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.70260 | − | 3.81363i | −0.0891184 | − | 0.199614i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.73979 | − | 25.1532i | −0.351814 | − | 1.31299i | −0.884446 | − | 0.466642i | \(-0.845464\pi\) |
0.532632 | − | 0.846347i | \(-0.321203\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −13.2129 | − | 22.8854i | −0.687837 | − | 1.19137i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −14.7676 | + | 13.5631i | −0.766698 | + | 0.704162i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.3666 | − | 3.04568i | −0.588542 | − | 0.157699i | −0.0477550 | − | 0.998859i | \(-0.515207\pi\) |
−0.540787 | + | 0.841160i | \(0.681873\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 17.1252 | + | 18.9027i | 0.884340 | + | 0.976129i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.122214 | + | 0.122214i | −0.00629435 | + | 0.00629435i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.54915i | 0.0795746i | 0.999208 | + | 0.0397873i | \(0.0126680\pi\) | ||||
−0.999208 | + | 0.0397873i | \(0.987332\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.59397 | + | 0.920281i | 0.0816617 | + | 0.0471474i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 7.38345 | − | 27.5554i | 0.377276 | − | 1.40802i | −0.472713 | − | 0.881216i | \(-0.656725\pi\) |
0.849990 | − | 0.526799i | \(-0.176608\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.0880104 | − | 0.757873i | −0.00448543 | − | 0.0386248i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.23495 | − | 8.34094i | 0.113609 | − | 0.423994i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −2.08747 | − | 1.20520i | −0.105839 | − | 0.0611061i | 0.446146 | − | 0.894960i | \(-0.352796\pi\) |
−0.551985 | + | 0.833854i | \(0.686129\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 10.0850i | 0.510019i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −5.37595 | + | 5.37595i | −0.271181 | + | 0.271181i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 13.8006 | + | 17.0067i | 0.694382 | + | 0.855702i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.08642 | + | 1.36290i | 0.255280 | + | 0.0684021i | 0.384189 | − | 0.923254i | \(-0.374481\pi\) |
−0.128909 | + | 0.991656i | \(0.541148\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 13.7813 | − | 43.8836i | 0.689929 | − | 2.19693i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4.96411 | − | 8.59809i | −0.247896 | − | 0.429368i | 0.715046 | − | 0.699077i | \(-0.246406\pi\) |
−0.962942 | + | 0.269709i | \(0.913072\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.66873 | − | 9.95985i | −0.132939 | − | 0.496135i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 22.4572 | + | 8.59420i | 1.11591 | + | 0.427049i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.00850207 | + | 0.00850207i | 0.000421432 | + | 0.000421432i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.32115 | − | 9.21650i | 0.263114 | − | 0.455727i | −0.703954 | − | 0.710246i | \(-0.748584\pi\) |
0.967068 | + | 0.254519i | \(0.0819172\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 30.9864 | − | 17.8900i | 1.52844 | − | 0.882448i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 21.8603 | + | 0.929414i | 1.07568 | + | 0.0457335i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −15.6633 | + | 21.6050i | −0.768881 | + | 1.06055i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.88790 | − | 0.773812i | 0.141421 | − | 0.0378937i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0.608681 | 0.0297360 | 0.0148680 | − | 0.999889i | \(-0.495267\pi\) | ||||
0.0148680 | + | 0.999889i | \(0.495267\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 16.0504 | 0.782249 | 0.391125 | − | 0.920338i | \(-0.372086\pi\) | ||||
0.391125 | + | 0.920338i | \(0.372086\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 4.92000 | − | 1.31831i | 0.239219 | − | 0.0640984i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −6.47236 | − | 9.92215i | −0.313956 | − | 0.481295i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 29.6818 | + | 18.8617i | 1.43640 | + | 0.912784i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.269802 | − | 0.155770i | 0.0130261 | − | 0.00752065i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −8.71860 | + | 15.1011i | −0.419960 | + | 0.727393i | −0.995935 | − | 0.0900749i | \(-0.971289\pi\) |
0.575975 | + | 0.817468i | \(0.304623\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.77089 | − | 6.77089i | −0.325388 | − | 0.325388i | 0.525442 | − | 0.850830i | \(-0.323900\pi\) |
−0.850830 | + | 0.525442i | \(0.823900\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.760332 | + | 0.339453i | −0.0364552 | + | 0.0162755i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 8.39519 | + | 31.3313i | 0.401596 | + | 1.49878i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −13.4260 | − | 23.2545i | −0.640788 | − | 1.10988i | −0.985257 | − | 0.171080i | \(-0.945274\pi\) |
0.344469 | − | 0.938798i | \(-0.388059\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.30990 | + | 15.3769i | −0.0623761 | + | 0.732234i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 22.3427 | + | 5.98671i | 1.06153 | + | 0.284437i | 0.747010 | − | 0.664813i | \(-0.231489\pi\) |
0.314523 | + | 0.949250i | \(0.398155\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.7333 | − | 9.52131i | 0.556213 | − | 0.451354i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 17.3568 | − | 17.3568i | 0.820947 | − | 0.820947i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 36.7511i | − | 1.73439i | −0.497966 | − | 0.867197i | \(-0.665920\pi\) | ||
0.497966 | − | 0.867197i | \(-0.334080\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.33872 | + | 0.772910i | 0.0630378 | + | 0.0363949i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.63421 | − | 6.09894i | 0.0767818 | − | 0.286553i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 6.19759 | + | 0.912530i | 0.290548 | + | 0.0427801i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 4.08547 | − | 15.2472i | 0.191110 | − | 0.713233i | −0.802129 | − | 0.597150i | \(-0.796300\pi\) |
0.993240 | − | 0.116083i | \(-0.0370337\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3.72308 | − | 2.14952i | −0.173778 | − | 0.100331i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 27.9309i | 1.30087i | 0.759561 | + | 0.650436i | \(0.225414\pi\) | ||||
−0.759561 | + | 0.650436i | \(0.774586\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.2033 | − | 15.2033i | 0.706558 | − | 0.706558i | −0.259252 | − | 0.965810i | \(-0.583476\pi\) |
0.965810 | + | 0.259252i | \(0.0834760\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 5.14207 | − | 49.4088i | 0.238458 | − | 2.29128i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 3.29912 | + | 0.883995i | 0.152665 | + | 0.0409064i | 0.334342 | − | 0.942452i | \(-0.391486\pi\) |
−0.181677 | + | 0.983358i | \(0.558153\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −12.6858 | − | 13.8124i | −0.585776 | − | 0.637798i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −27.2450 | − | 47.1897i | −1.25538 | − | 2.17439i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.130737 | + | 0.487916i | 0.00601128 | + | 0.0224344i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −28.3675 | − | 25.4375i | −1.30159 | − | 1.16715i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −11.8144 | − | 11.8144i | −0.540945 | − | 0.540945i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −8.86000 | + | 15.3460i | −0.404824 | + | 0.701176i | −0.994301 | − | 0.106610i | \(-0.966001\pi\) |
0.589477 | + | 0.807785i | \(0.299334\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.0854959 | + | 0.0493611i | −0.00389828 | + | 0.00225067i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −11.8893 | − | 22.7755i | −0.540982 | − | 1.03632i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 24.6135 | + | 17.8444i | 1.11764 | + | 0.810272i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −13.5674 | + | 3.63537i | −0.614797 | + | 0.164734i | −0.552761 | − | 0.833340i | \(-0.686426\pi\) |
−0.0620356 | + | 0.998074i | \(0.519759\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 24.6964 | 1.11681 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −16.9628 | −0.765519 | −0.382759 | − | 0.923848i | \(-0.625026\pi\) | ||||
−0.382759 | + | 0.923848i | \(0.625026\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.373556 | − | 0.100094i | 0.0168241 | − | 0.00450800i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.627837 | − | 0.100097i | 0.0282192 | − | 0.00449902i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 11.6349 | + | 22.2882i | 0.521896 | + | 0.999761i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −15.8081 | + | 9.12684i | −0.707670 | + | 0.408573i | −0.810198 | − | 0.586157i | \(-0.800640\pi\) |
0.102528 | + | 0.994730i | \(0.467307\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.44247 | + | 16.3548i | −0.421858 | + | 0.730680i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 9.44510 | + | 9.44510i | 0.421136 | + | 0.421136i | 0.885595 | − | 0.464459i | \(-0.153751\pi\) |
−0.464459 | + | 0.885595i | \(0.653751\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.78596 | + | 22.9583i | −0.390970 | + | 1.02163i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.01397 | − | 26.1765i | −0.311501 | − | 1.16254i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 5.59042 | + | 9.68290i | 0.247791 | + | 0.429187i | 0.962913 | − | 0.269813i | \(-0.0869620\pi\) |
−0.715121 | + | 0.699000i | \(0.753629\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.34268 | − | 3.63953i | −0.147871 | − | 0.161003i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −13.3560 | − | 3.57872i | −0.589680 | − | 0.158004i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 17.7994 | + | 1.85242i | 0.784337 | + | 0.0816275i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.210686 | + | 0.210686i | −0.00926598 | + | 0.00926598i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 23.5053i | 1.03177i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 18.3874 | + | 10.6160i | 0.805568 | + | 0.465095i | 0.845414 | − | 0.534111i | \(-0.179354\pi\) |
−0.0398466 | + | 0.999206i | \(0.512687\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.69368 | − | 6.32091i | 0.0740595 | − | 0.276394i | −0.918959 | − | 0.394353i | \(-0.870969\pi\) |
0.993018 | + | 0.117959i | \(0.0376353\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 26.3143 | + | 14.7775i | 1.14845 | + | 0.644941i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −5.97146 | + | 22.2858i | −0.260121 | + | 0.970784i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.22807 | − | 2.44108i | −0.183829 | − | 0.106134i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 18.2323i | 0.791213i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −8.97467 | + | 8.97467i | −0.388736 | + | 0.388736i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −38.7804 | − | 4.03595i | −1.67662 | − | 0.174489i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 4.87973 | + | 1.30752i | 0.210576 | + | 0.0564236i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −0.383389 | − | 0.817299i | −0.0165138 | − | 0.0352036i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.87899 | − | 10.1827i | −0.252757 | − | 0.437789i | 0.711527 | − | 0.702659i | \(-0.248004\pi\) |
−0.964284 | + | 0.264870i | \(0.914671\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −4.48236 | − | 16.7284i | −0.192356 | − | 0.717884i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −8.08069 | + | 21.1153i | −0.346139 | + | 0.904482i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −24.0098 | − | 24.0098i | −1.02658 | − | 1.02658i | −0.999637 | − | 0.0269473i | \(-0.991421\pi\) |
−0.0269473 | − | 0.999637i | \(-0.508579\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −14.6524 | + | 25.3786i | −0.625348 | + | 1.08313i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.07721 | − | 0.621930i | 0.0458908 | − | 0.0264951i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 21.8719 | + | 13.8988i | 0.930089 | + | 0.591039i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.469677 | + | 0.0748812i | −0.0199367 | + | 0.00317853i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 31.0663 | − | 8.32418i | 1.31632 | − | 0.352707i | 0.468722 | − | 0.883346i | \(-0.344715\pi\) |
0.847598 | + | 0.530639i | \(0.178048\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.14740 | −0.175416 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.697090 | −0.0294312 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −31.4838 | + | 8.43607i | −1.32689 | + | 0.355538i | −0.851553 | − | 0.524268i | \(-0.824339\pi\) |
−0.475333 | + | 0.879806i | \(0.657672\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −12.8738 | − | 9.33327i | −0.541604 | − | 0.392654i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 28.4253 | + | 1.20853i | 1.19375 | + | 0.0507535i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −2.61511 | + | 1.50983i | −0.109631 | + | 0.0632955i | −0.553813 | − | 0.832641i | \(-0.686828\pi\) |
0.444182 | + | 0.895937i | \(0.353494\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.68176 | − | 15.0372i | 0.363320 | − | 0.629289i | −0.625185 | − | 0.780477i | \(-0.714976\pi\) |
0.988505 | + | 0.151188i | \(0.0483097\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −1.34845 | − | 1.34845i | −0.0563324 | − | 0.0563324i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −21.2510 | + | 1.15724i | −0.886230 | + | 0.0482604i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.546530 | + | 2.03968i | 0.0227523 | + | 0.0849129i | 0.976368 | − | 0.216112i | \(-0.0693378\pi\) |
−0.953616 | + | 0.301025i | \(0.902671\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 22.5576 | + | 39.0709i | 0.937463 | + | 1.62373i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9.46028 | + | 30.1242i | −0.392478 | + | 1.24976i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.944064 | + | 0.252961i | 0.0390992 | + | 0.0104766i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.540340 | + | 5.19198i | −0.0223403 | + | 0.214662i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −30.8860 | + | 30.8860i | −1.27480 | + | 1.27480i | −0.331265 | + | 0.943538i | \(0.607475\pi\) |
−0.943538 | + | 0.331265i | \(0.892525\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 74.2068i | 3.05764i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −26.7610 | − | 15.4505i | −1.10080 | − | 0.635547i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.98009 | + | 7.38980i | −0.0813126 | + | 0.303463i | −0.994590 | − | 0.103875i | \(-0.966876\pi\) |
0.913278 | + | 0.407337i | \(0.133543\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −10.9887 | − | 8.70204i | −0.450492 | − | 0.356749i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −11.9707 | + | 44.6752i | −0.489927 | + | 1.82843i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 37.2778 | + | 21.5223i | 1.52313 | + | 0.879379i | 0.999626 | + | 0.0273556i | \(0.00870864\pi\) |
0.523504 | + | 0.852024i | \(0.324625\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.27437i | 0.337518i | 0.985657 | + | 0.168759i | \(0.0539760\pi\) | ||||
−0.985657 | + | 0.168759i | \(0.946024\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 11.0502 | − | 11.0502i | 0.450000 | − | 0.450000i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 19.0706 | − | 15.4753i | 0.775329 | − | 0.629161i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 15.3300 | + | 4.10766i | 0.622225 | + | 0.166725i | 0.556139 | − | 0.831089i | \(-0.312282\pi\) |
0.0660860 | + | 0.997814i | \(0.478949\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.725622 | + | 0.666438i | −0.0294037 | + | 0.0270054i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.22320 | − | 2.11864i | −0.0494853 | − | 0.0857110i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.85413 | − | 18.1158i | −0.196056 | − | 0.731692i | −0.991991 | − | 0.126309i | \(-0.959687\pi\) |
0.795935 | − | 0.605383i | \(-0.206980\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −55.8343 | + | 24.9274i | −2.25145 | + | 1.00517i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −18.1371 | − | 18.1371i | −0.730172 | − | 0.730172i | 0.240482 | − | 0.970654i | \(-0.422695\pi\) |
−0.970654 | + | 0.240482i | \(0.922695\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.78199 | − | 3.08650i | 0.0716243 | − | 0.124057i | −0.827989 | − | 0.560744i | \(-0.810515\pi\) |
0.899613 | + | 0.436687i | \(0.143848\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −6.68858 | + | 3.86165i | −0.268404 | + | 0.154963i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 9.58911 | − | 15.0899i | 0.384180 | − | 0.604565i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 20.1652 | − | 14.7771i | 0.806610 | − | 0.591085i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −2.16567 | + | 0.580290i | −0.0864886 | + | 0.0231745i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.220897 | 0.00880774 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.53048 | −0.140546 | −0.0702731 | − | 0.997528i | \(-0.522387\pi\) | ||||
−0.0702731 | + | 0.997528i | \(0.522387\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −17.9485 | + | 4.80929i | −0.713389 | + | 0.191152i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.05888 | − | 1.46056i | 0.0420204 | − | 0.0579605i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 7.29659 | − | 1.30379i | 0.289101 | − | 0.0516580i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −18.1438 | + | 10.4753i | −0.717756 | + | 0.414397i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 15.7198 | − | 27.2275i | 0.620894 | − | 1.07542i | −0.368425 | − | 0.929657i | \(-0.620103\pi\) |
0.989320 | − | 0.145763i | \(-0.0465637\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 32.1065 | + | 32.1065i | 1.26616 | + | 1.26616i | 0.948058 | + | 0.318098i | \(0.103044\pi\) |
0.318098 | + | 0.948058i | \(0.396956\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −18.6609 | − | 7.14140i | −0.734772 | − | 0.281192i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 6.19921 | + | 23.1358i | 0.243716 | + | 0.909561i | 0.974024 | + | 0.226443i | \(0.0727098\pi\) |
−0.730308 | + | 0.683118i | \(0.760624\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.533263 | − | 0.923638i | −0.0209324 | − | 0.0362560i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −12.7872 | − | 57.3692i | −0.501172 | − | 2.24848i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −39.3513 | − | 10.5442i | −1.53994 | − | 0.412625i | −0.613691 | − | 0.789546i | \(-0.710316\pi\) |
−0.926245 | + | 0.376921i | \(0.876983\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.69546 | + | 5.78632i | 0.183467 | + | 0.226090i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 2.91170 | − | 2.91170i | 0.113596 | − | 0.113596i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 32.0510i | − | 1.24853i | −0.781212 | − | 0.624266i | \(-0.785398\pi\) | ||
0.781212 | − | 0.624266i | \(-0.214602\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.69967 | − | 1.55865i | −0.105005 | − | 0.0606246i | 0.446578 | − | 0.894745i | \(-0.352643\pi\) |
−0.551583 | + | 0.834120i | \(0.685976\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.48136 | − | 5.52851i | 0.0575312 | − | 0.214709i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −41.3829 | − | 17.8874i | −1.60476 | − | 0.693643i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.179821 | − | 0.671100i | 0.00696268 | − | 0.0259851i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 23.0202 | + | 13.2907i | 0.890013 | + | 0.513849i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 1.71423i | − | 0.0661769i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.60859 | − | 3.60859i | 0.139101 | − | 0.139101i | −0.634127 | − | 0.773229i | \(-0.718641\pi\) |
0.773229 | + | 0.634127i | \(0.218641\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 4.10225 | − | 8.09192i | 0.157896 | − | 0.311458i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −30.5704 | − | 8.19130i | −1.17491 | − | 0.314817i | −0.382007 | − | 0.924160i | \(-0.624767\pi\) |
−0.792907 | + | 0.609342i | \(0.791434\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 34.3189 | + | 10.7776i | 1.31704 | + | 0.413607i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.737167 | + | 1.27681i | 0.0282483 | + | 0.0489275i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −5.19321 | − | 19.3813i | −0.198713 | − | 0.741605i | −0.991274 | − | 0.131814i | \(-0.957920\pi\) |
0.792562 | − | 0.609791i | \(-0.208747\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −14.2967 | − | 32.0229i | −0.546250 | − | 1.22353i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 33.9846 | + | 33.9846i | 1.29659 | + | 1.29659i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −4.01239 | + | 6.94966i | −0.152860 | + | 0.264761i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.6151 | − | 10.7475i | 0.708153 | − | 0.408853i | −0.102224 | − | 0.994761i | \(-0.532596\pi\) |
0.810377 | + | 0.585909i | \(0.199262\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.666856 | − | 0.348112i | 0.0253318 | − | 0.0132237i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.461372 | − | 2.89386i | −0.0175008 | − | 0.109770i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 27.4317 | − | 7.35030i | 1.03905 | − | 0.278412i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −39.2512 | −1.48462 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 42.9302 | 1.62145 | 0.810725 | − | 0.585427i | \(-0.199073\pi\) | ||||
0.810725 | + | 0.585427i | \(0.199073\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.686267 | − | 0.183885i | 0.0258831 | − | 0.00693535i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.85560 | − | 11.6389i | −0.0698860 | − | 0.438345i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.23550 | + | 29.0596i | −0.0464656 | + | 1.09290i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.69705 | − | 3.28920i | 0.213957 | − | 0.123528i | −0.389192 | − | 0.921157i | \(-0.627246\pi\) |
0.603149 | + | 0.797628i | \(0.293912\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −10.7970 | + | 18.7010i | −0.404920 | + | 0.701342i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 29.3090 | + | 29.3090i | 1.09763 | + | 1.09763i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.124483 | − | 0.278827i | −0.00465541 | − | 0.0104276i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.95570 | − | 11.0308i | −0.110383 | − | 0.411953i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 17.4761 | + | 30.2695i | 0.651748 | + | 1.12886i | 0.982699 | + | 0.185212i | \(0.0592972\pi\) |
−0.330951 | + | 0.943648i | \(0.607369\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 20.6672 | − | 4.60659i | 0.769685 | − | 0.171558i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 44.6411 | + | 11.9616i | 1.66022 | + | 0.444855i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.253783 | + | 0.775670i | 0.00942526 | + | 0.0288077i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 24.4451 | − | 24.4451i | 0.906619 | − | 0.906619i | −0.0893785 | − | 0.995998i | \(-0.528488\pi\) |
0.995998 | + | 0.0893785i | \(0.0284881\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 11.2892i | 0.418120i | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8.03678 | + | 4.64004i | 0.297251 | + | 0.171618i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.88621 | − | 7.03942i | 0.0696686 | − | 0.260007i | −0.922303 | − | 0.386468i | \(-0.873695\pi\) |
0.991972 | + | 0.126461i | \(0.0403618\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 35.0754 | + | 6.69767i | 1.29377 | + | 0.247047i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.236599 | + | 0.882999i | −0.00871523 | + | 0.0325257i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −44.2240 | − | 25.5327i | −1.62680 | − | 0.939236i | −0.985038 | − | 0.172336i | \(-0.944868\pi\) |
−0.641767 | − | 0.766900i | \(-0.721798\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 18.4087i | − | 0.676261i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 12.2443 | − | 12.2443i | 0.449200 | − | 0.449200i | −0.445888 | − | 0.895089i | \(-0.647112\pi\) |
0.895089 | + | 0.445888i | \(0.147112\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −15.1597 | − | 18.6817i | −0.555410 | − | 0.684444i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −25.4141 | − | 6.80970i | −0.929854 | − | 0.249154i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −45.0284 | + | 10.0366i | −1.64530 | + | 0.366728i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 16.1555 | + | 27.9821i | 0.589521 | + | 1.02108i | 0.994295 | + | 0.106664i | \(0.0340170\pi\) |
−0.404774 | + | 0.914417i | \(0.632650\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −12.8829 | − | 48.0797i | −0.469480 | − | 1.75212i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −5.77992 | − | 2.21193i | −0.210353 | − | 0.0805005i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −25.7314 | − | 25.7314i | −0.935223 | − | 0.935223i | 0.0628033 | − | 0.998026i | \(-0.479996\pi\) |
−0.998026 | + | 0.0628033i | \(0.979996\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.626168 | + | 1.08455i | −0.0227285 | + | 0.0393668i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −31.3036 | + | 18.0731i | −1.13475 | + | 0.655151i | −0.945126 | − | 0.326705i | \(-0.894062\pi\) |
−0.189629 | + | 0.981856i | \(0.560728\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.13632 | + | 26.7269i | −0.0411376 | + | 0.967578i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 6.85576 | − | 9.45643i | 0.247870 | − | 0.341898i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 8.45843 | − | 2.26643i | 0.305416 | − | 0.0818361i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 30.4018 | 1.09632 | 0.548159 | − | 0.836374i | \(-0.315329\pi\) | ||||
0.548159 | + | 0.836374i | \(0.315329\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.97497 | 0.323226 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 21.5840 | − | 5.78340i | 0.776321 | − | 0.208015i | 0.151159 | − | 0.988509i | \(-0.451700\pi\) |
0.625162 | + | 0.780495i | \(0.285033\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −47.6458 | − | 10.0258i | −1.71149 | − | 0.360136i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.498866 | + | 0.260418i | −0.0178967 | + | 0.00934245i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 79.1041 | − | 45.6708i | 2.83420 | − | 1.63633i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.612769 | − | 1.06135i | 0.0219266 | − | 0.0379780i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0.209423 | + | 0.209423i | 0.00748418 | + | 0.00748418i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −48.7684 | + | 21.7728i | −1.74062 | + | 0.777103i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.31825 | − | 8.65181i | −0.0826366 | − | 0.308404i | 0.912220 | − | 0.409702i | \(-0.134367\pi\) |
−0.994856 | + | 0.101298i | \(0.967701\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 16.3890 | + | 28.3865i | 0.583463 | + | 1.01059i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −17.9501 | − | 5.63709i | −0.638231 | − | 0.200432i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 13.5952 | + | 3.64283i | 0.482781 | + | 0.129361i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −30.0200 | + | 24.3605i | −1.06470 | + | 0.863978i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 32.4551 | − | 32.4551i | 1.14962 | − | 1.14962i | 0.162990 | − | 0.986628i | \(-0.447886\pi\) |
0.986628 | − | 0.162990i | \(-0.0521138\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.47396i | 0.193655i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 12.9022 | + | 7.44911i | 0.455878 | + | 0.263201i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −0.0623431 | + | 0.232668i | −0.00220004 | + | 0.00821066i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −23.4096 | + | 9.27985i | −0.825080 | + | 0.327072i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −10.7783 | + | 40.2252i | −0.379414 | + | 1.41599i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −37.3411 | − | 21.5589i | −1.31284 | − | 0.757970i | −0.330276 | − | 0.943884i | \(-0.607142\pi\) |
−0.982566 | + | 0.185915i | \(0.940475\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 15.8129i | 0.555267i | 0.960687 | + | 0.277634i | \(0.0895501\pi\) | ||||
−0.960687 | + | 0.277634i | \(0.910450\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 40.0103 | − | 40.0103i | 1.40322 | − | 1.40322i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 2.50563 | − | 24.0760i | 0.0877685 | − | 0.843344i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 28.8307 | + | 7.72516i | 1.00866 | + | 0.270269i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 1.34371 | + | 6.02848i | 0.0469531 | + | 0.210652i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −18.0732 | − | 31.3037i | −0.630759 | − | 1.09251i | −0.987397 | − | 0.158264i | \(-0.949410\pi\) |
0.356637 | − | 0.934243i | \(-0.383923\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.61252 | + | 32.1424i | 0.300214 | + | 1.12041i | 0.936988 | + | 0.349362i | \(0.113602\pi\) |
−0.636774 | + | 0.771050i | \(0.719732\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.0799906 | − | 1.46891i | −0.00278491 | − | 0.0511408i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 15.5915 | + | 15.5915i | 0.542171 | + | 0.542171i | 0.924165 | − | 0.381994i | \(-0.124763\pi\) |
−0.381994 | + | 0.924165i | \(0.624763\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 14.1523 | − | 24.5126i | 0.491531 | − | 0.851357i | −0.508421 | − | 0.861109i | \(-0.669771\pi\) |
0.999952 | + | 0.00975135i | \(0.00310400\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −18.9511 | + | 10.9414i | −0.657405 | + | 0.379553i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −15.5979 | − | 5.63682i | −0.540434 | − | 0.195304i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 14.9859 | + | 10.8646i | 0.518610 | + | 0.375984i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −17.0670 | + | 4.57308i | −0.589921 | + | 0.158069i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 11.2714 | 0.389133 | 0.194566 | − | 0.980889i | \(-0.437670\pi\) | ||||
0.194566 | + | 0.980889i | \(0.437670\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 28.9734 | 0.999081 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 19.5436 | − | 5.23670i | 0.673118 | − | 0.180361i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −26.2305 | + | 4.18196i | −0.902356 | + | 0.143864i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 15.5855 | − | 24.5262i | 0.535524 | − | 0.842729i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −17.6125 | + | 10.1686i | −0.604460 | + | 0.348985i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.198423 | − | 0.343678i | 0.00680185 | − | 0.0117811i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −36.3857 | − | 36.3857i | −1.24582 | − | 1.24582i | −0.957548 | − | 0.288274i | \(-0.906919\pi\) |
−0.288274 | − | 0.957548i | \(-0.593081\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 13.4270 | − | 35.0856i | 0.459194 | − | 1.19990i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 6.09802 | + | 22.7581i | 0.208304 | + | 0.777402i | 0.988417 | + | 0.151763i | \(0.0484951\pi\) |
−0.780113 | + | 0.625639i | \(0.784838\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.48878 | − | 2.57864i | −0.0507964 | − | 0.0879820i | 0.839509 | − | 0.543345i | \(-0.182843\pi\) |
−0.890306 | + | 0.455364i | \(0.849509\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −53.2854 | + | 48.9392i | −1.81596 | + | 1.66784i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −24.0804 | − | 6.45233i | −0.819707 | − | 0.219640i | −0.175489 | − | 0.984481i | \(-0.556151\pi\) |
−0.644218 | + | 0.764842i | \(0.722817\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 22.9148 | + | 2.38479i | 0.779127 | + | 0.0810853i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 18.3682 | − | 18.3682i | 0.623817 | − | 0.623817i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 1.26318i | − | 0.0428504i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.50013 | − | 3.75285i | −0.220248 | − | 0.127161i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −7.75794 | + | 28.9530i | −0.262567 | + | 0.979912i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 17.0760 | − | 24.1539i | 0.577274 | − | 0.816551i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.58973 | − | 24.5932i | 0.222520 | − | 0.830454i | −0.760864 | − | 0.648912i | \(-0.775224\pi\) |
0.983383 | − | 0.181542i | \(-0.0581089\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 5.97692 | + | 3.45078i | 0.201596 | + | 0.116392i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 47.6407i | − | 1.60506i | −0.596614 | − | 0.802529i | \(-0.703487\pi\) | ||
0.596614 | − | 0.802529i | \(-0.296513\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.852334 | − | 0.852334i | 0.0286833 | − | 0.0286833i | −0.692620 | − | 0.721303i | \(-0.743544\pi\) |
0.721303 | + | 0.692620i | \(0.243544\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 41.9606 | + | 4.36692i | 1.41049 | + | 0.146792i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −23.0295 | − | 6.17074i | −0.773256 | − | 0.207193i | −0.149446 | − | 0.988770i | \(-0.547749\pi\) |
−0.623809 | + | 0.781577i | \(0.714416\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.639540 | − | 2.03647i | 0.0214495 | − | 0.0683011i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.693409 | − | 1.20102i | −0.0232301 | − | 0.0402357i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 4.55678 | + | 17.0061i | 0.152487 | + | 0.569088i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.76975 | − | 4.62448i | 0.0591564 | − | 0.154579i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −7.27078 | − | 7.27078i | −0.242764 | − | 0.242764i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.794735 | − | 1.37652i | 0.0265059 | − | 0.0459096i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 15.5503 | − | 8.97797i | 0.518055 | − | 0.299099i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −23.6202 | − | 1.00423i | −0.786030 | − | 0.0334188i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −16.7629 | + | 2.67253i | −0.557217 | + | 0.0888379i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −30.7853 | + | 8.24891i | −1.02221 | + | 0.273900i | −0.730723 | − | 0.682674i | \(-0.760817\pi\) |
−0.291488 | + | 0.956575i | \(0.594150\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −24.2367 | −0.803881 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −7.74616 | −0.256642 | −0.128321 | − | 0.991733i | \(-0.540959\pi\) | ||||
−0.128321 | + | 0.991733i | \(0.540959\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.48664 | − | 0.398344i | 0.0492006 | − | 0.0131833i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 54.8981 | + | 39.8002i | 1.81487 | + | 1.31575i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 7.44163 | + | 4.72889i | 0.245744 | + | 0.156162i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 25.6348 | − | 14.8002i | 0.845613 | − | 0.488215i | −0.0135550 | − | 0.999908i | \(-0.504315\pi\) |
0.859168 | + | 0.511693i | \(0.170982\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 15.4596 | − | 26.7768i | 0.509411 | − | 0.882326i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 7.11519 | + | 7.11519i | 0.234199 | + | 0.234199i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.0253478 | + | 0.465474i | 0.000833429 | + | 0.0153047i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 4.56665 | + | 17.0430i | 0.149989 | + | 0.559765i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −12.6229 | − | 21.8634i | −0.414143 | − | 0.717316i | 0.581195 | − | 0.813764i | \(-0.302585\pi\) |
−0.995338 | + | 0.0964479i | \(0.969252\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −53.1507 | − | 4.52770i | −1.74194 | − | 0.148389i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 54.1934 | + | 14.5211i | 1.77421 | + | 0.475399i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.0707249 | + | 0.679577i | −0.00231295 | + | 0.0222245i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −26.1816 | + | 26.1816i | −0.855315 | + | 0.855315i | −0.990782 | − | 0.135467i | \(-0.956746\pi\) |
0.135467 | + | 0.990782i | \(0.456746\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − | 11.1042i | − | 0.362371i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 23.0609 | + | 13.3142i | 0.751763 | + | 0.434031i | 0.826331 | − | 0.563185i | \(-0.190424\pi\) |
−0.0745676 | + | 0.997216i | \(0.523758\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 13.2049 | − | 49.2815i | 0.430012 | − | 1.60483i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.56369 | − | 10.6201i | 0.0508669 | − | 0.345470i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −6.56000 | + | 24.4823i | −0.213171 | + | 0.795566i | 0.773631 | + | 0.633636i | \(0.218438\pi\) |
−0.986802 | + | 0.161930i | \(0.948228\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.71277 | − | 0.988866i | −0.0555987 | − | 0.0320999i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 3.87221i | − | 0.125565i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 34.5345 | − | 34.5345i | 1.11868 | − | 1.11868i | 0.126747 | − | 0.991935i | \(-0.459546\pi\) |
0.991935 | − | 0.126747i | \(-0.0404537\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.45138 | + | 1.17776i | −0.0469657 | + | 0.0381115i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.0463875 | + | 0.0124295i | 0.00149950 | + | 0.000401789i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −28.0684 | − | 30.5611i | −0.906375 | − | 0.986868i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 31.9127 | + | 55.2745i | 1.02944 | + | 1.78305i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −9.94955 | − | 37.1322i | −0.320620 | − | 1.19657i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 40.3780 | − | 18.0269i | 1.29981 | − | 0.580305i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 9.31362 | + | 9.31362i | 0.299506 | + | 0.299506i | 0.840820 | − | 0.541314i | \(-0.182073\pi\) |
−0.541314 | + | 0.840820i | \(0.682073\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −20.5953 | + | 35.6722i | −0.661617 | + | 1.14595i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −9.73473 | + | 5.62035i | −0.312402 | + | 0.180366i | −0.648001 | − | 0.761639i | \(-0.724395\pi\) |
0.335599 | + | 0.942005i | \(0.391061\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.60454 | − | 3.07371i | −0.0514391 | − | 0.0985385i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 11.8196 | + | 2.48713i | 0.378532 | + | 0.0796518i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −2.96941 | + | 0.795651i | −0.0949999 | + | 0.0254551i | −0.306006 | − | 0.952030i | \(-0.598993\pi\) |
0.211006 | + | 0.977485i | \(0.432326\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.871494 | −0.0278531 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −22.2912 | −0.711702 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 6.34688 | − | 1.70064i | 0.202434 | − | 0.0542421i | −0.156177 | − | 0.987729i | \(-0.549917\pi\) |
0.358611 | + | 0.933487i | \(0.383250\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −17.7774 | + | 24.5211i | −0.566435 | + | 0.781308i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −6.45332 | − | 12.3622i | −0.205411 | − | 0.393493i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 14.4382 | − | 8.33591i | 0.459109 | − | 0.265067i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13.2859 | + | 23.0119i | −0.422041 | + | 0.730997i | −0.996139 | − | 0.0877900i | \(-0.972020\pi\) |
0.574098 | + | 0.818787i | \(0.305353\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −17.9668 | − | 17.9668i | −0.570159 | − | 0.570159i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 42.3383 | + | 16.2026i | 1.34221 | + | 0.513656i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.75671 | + | 6.55613i | 0.0556355 | + | 0.207635i | 0.988148 | − | 0.153502i | \(-0.0490553\pi\) |
−0.932513 | + | 0.361137i | \(0.882389\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0.0845841 | + | 0.146504i | 0.00267612 | + | 0.00463518i |
(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 | 280.2.bo.a.17.11 | ✓ | 48 | |
4.3 | odd | 2 | 560.2.ci.e.17.2 | 48 | |||
5.3 | odd | 4 | inner | 280.2.bo.a.73.11 | yes | 48 | |
7.5 | odd | 6 | inner | 280.2.bo.a.257.11 | yes | 48 | |
20.3 | even | 4 | 560.2.ci.e.353.2 | 48 | |||
28.19 | even | 6 | 560.2.ci.e.257.2 | 48 | |||
35.33 | even | 12 | inner | 280.2.bo.a.33.11 | yes | 48 | |
140.103 | odd | 12 | 560.2.ci.e.33.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bo.a.17.11 | ✓ | 48 | 1.1 | even | 1 | trivial | |
280.2.bo.a.33.11 | yes | 48 | 35.33 | even | 12 | inner | |
280.2.bo.a.73.11 | yes | 48 | 5.3 | odd | 4 | inner | |
280.2.bo.a.257.11 | yes | 48 | 7.5 | odd | 6 | inner | |
560.2.ci.e.17.2 | 48 | 4.3 | odd | 2 | |||
560.2.ci.e.33.2 | 48 | 140.103 | odd | 12 | |||
560.2.ci.e.257.2 | 48 | 28.19 | even | 6 | |||
560.2.ci.e.353.2 | 48 | 20.3 | even | 4 |