Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(481,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.481");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.n (of order \(5\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 5 x^{14} - 60 x^{13} + 480 x^{12} - 1202 x^{11} - 147 x^{10} - 2185 x^{9} + \cdots + 12851 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{31}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 481.4 | ||
Root | \(1.20820 + 0.458083i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.481 |
Dual form | 930.2.n.h.901.4 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | − | 0.587785i | 0.572061 | − | 0.415627i | ||||
\(3\) | −0.809017 | − | 0.587785i | −0.467086 | − | 0.339358i | ||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | −1.00000 | −0.447214 | ||||||||
\(6\) | −1.00000 | −0.408248 | ||||||||
\(7\) | 1.10674 | − | 3.40620i | 0.418309 | − | 1.28742i | −0.490948 | − | 0.871189i | \(-0.663349\pi\) |
0.909257 | − | 0.416235i | \(-0.136651\pi\) | |||||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | 0.309017 | + | 0.951057i | 0.103006 | + | 0.317019i | ||||
\(10\) | −0.809017 | + | 0.587785i | −0.255834 | + | 0.185874i | ||||
\(11\) | −0.154966 | + | 0.476937i | −0.0467241 | + | 0.143802i | −0.971697 | − | 0.236232i | \(-0.924088\pi\) |
0.924973 | + | 0.380034i | \(0.124088\pi\) | |||||||
\(12\) | −0.809017 | + | 0.587785i | −0.233543 | + | 0.169679i | ||||
\(13\) | 1.95491 | + | 1.42033i | 0.542194 | + | 0.393927i | 0.824899 | − | 0.565280i | \(-0.191232\pi\) |
−0.282705 | + | 0.959207i | \(0.591232\pi\) | |||||||
\(14\) | −1.10674 | − | 3.40620i | −0.295789 | − | 0.910346i | ||||
\(15\) | 0.809017 | + | 0.587785i | 0.208887 | + | 0.151765i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | −2.03130 | − | 6.25170i | −0.492663 | − | 1.51626i | −0.820567 | − | 0.571550i | \(-0.806342\pi\) |
0.327904 | − | 0.944711i | \(-0.393658\pi\) | |||||||
\(18\) | 0.809017 | + | 0.587785i | 0.190687 | + | 0.138542i | ||||
\(19\) | −2.25160 | + | 1.63588i | −0.516552 | + | 0.375297i | −0.815303 | − | 0.579034i | \(-0.803430\pi\) |
0.298752 | + | 0.954331i | \(0.403430\pi\) | |||||||
\(20\) | −0.309017 | + | 0.951057i | −0.0690983 | + | 0.212663i | ||||
\(21\) | −2.89749 | + | 2.10515i | −0.632284 | + | 0.459381i | ||||
\(22\) | 0.154966 | + | 0.476937i | 0.0330389 | + | 0.101683i | ||||
\(23\) | −2.06550 | − | 6.35695i | −0.430686 | − | 1.32552i | −0.897443 | − | 0.441130i | \(-0.854578\pi\) |
0.466757 | − | 0.884385i | \(-0.345422\pi\) | |||||||
\(24\) | −0.309017 | + | 0.951057i | −0.0630778 | + | 0.194134i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 2.41640 | 0.473895 | ||||||||
\(27\) | 0.309017 | − | 0.951057i | 0.0594703 | − | 0.183031i | ||||
\(28\) | −2.89749 | − | 2.10515i | −0.547574 | − | 0.397836i | ||||
\(29\) | 0.171328 | − | 0.124477i | 0.0318149 | − | 0.0231148i | −0.571764 | − | 0.820418i | \(-0.693741\pi\) |
0.603579 | + | 0.797303i | \(0.293741\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | −3.01937 | + | 4.67797i | −0.542295 | + | 0.840188i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0.405707 | − | 0.294763i | 0.0706245 | − | 0.0513117i | ||||
\(34\) | −5.31802 | − | 3.86377i | −0.912032 | − | 0.662630i | ||||
\(35\) | −1.10674 | + | 3.40620i | −0.187074 | + | 0.575753i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | −3.80335 | −0.625267 | −0.312634 | − | 0.949874i | \(-0.601211\pi\) | ||||
−0.312634 | + | 0.949874i | \(0.601211\pi\) | |||||||
\(38\) | −0.860033 | + | 2.64691i | −0.139516 | + | 0.429386i | ||||
\(39\) | −0.746709 | − | 2.29813i | −0.119569 | − | 0.367996i | ||||
\(40\) | 0.309017 | + | 0.951057i | 0.0488599 | + | 0.150375i | ||||
\(41\) | 3.46939 | − | 2.52066i | 0.541827 | − | 0.393660i | −0.282936 | − | 0.959139i | \(-0.591308\pi\) |
0.824763 | + | 0.565478i | \(0.191308\pi\) | |||||||
\(42\) | −1.10674 | + | 3.40620i | −0.170774 | + | 0.525589i | ||||
\(43\) | −6.00885 | + | 4.36568i | −0.916341 | + | 0.665760i | −0.942610 | − | 0.333894i | \(-0.891637\pi\) |
0.0262699 | + | 0.999655i | \(0.491637\pi\) | |||||||
\(44\) | 0.405707 | + | 0.294763i | 0.0611626 | + | 0.0444372i | ||||
\(45\) | −0.309017 | − | 0.951057i | −0.0460655 | − | 0.141775i | ||||
\(46\) | −5.40754 | − | 3.92881i | −0.797299 | − | 0.579271i | ||||
\(47\) | −6.29468 | − | 4.57335i | −0.918173 | − | 0.667092i | 0.0248956 | − | 0.999690i | \(-0.492075\pi\) |
−0.943069 | + | 0.332598i | \(0.892075\pi\) | |||||||
\(48\) | 0.309017 | + | 0.951057i | 0.0446028 | + | 0.137273i | ||||
\(49\) | −4.71422 | − | 3.42508i | −0.673460 | − | 0.489298i | ||||
\(50\) | 0.809017 | − | 0.587785i | 0.114412 | − | 0.0831254i | ||||
\(51\) | −2.03130 | + | 6.25170i | −0.284439 | + | 0.875414i | ||||
\(52\) | 1.95491 | − | 1.42033i | 0.271097 | − | 0.196964i | ||||
\(53\) | 2.30376 | + | 7.09026i | 0.316446 | + | 0.973922i | 0.975155 | + | 0.221524i | \(0.0711030\pi\) |
−0.658709 | + | 0.752398i | \(0.728897\pi\) | |||||||
\(54\) | −0.309017 | − | 0.951057i | −0.0420519 | − | 0.129422i | ||||
\(55\) | 0.154966 | − | 0.476937i | 0.0208956 | − | 0.0643102i | ||||
\(56\) | −3.58149 | −0.478597 | ||||||||
\(57\) | 2.78313 | 0.368634 | ||||||||
\(58\) | 0.0654416 | − | 0.201408i | 0.00859290 | − | 0.0264462i | ||||
\(59\) | −12.1079 | − | 8.79692i | −1.57632 | − | 1.14526i | −0.920769 | − | 0.390109i | \(-0.872437\pi\) |
−0.655549 | − | 0.755153i | \(-0.727563\pi\) | |||||||
\(60\) | 0.809017 | − | 0.587785i | 0.104444 | − | 0.0758827i | ||||
\(61\) | 12.6542 | 1.62020 | 0.810101 | − | 0.586290i | \(-0.199412\pi\) | ||||
0.810101 | + | 0.586290i | \(0.199412\pi\) | |||||||
\(62\) | 0.306922 | + | 5.55930i | 0.0389792 | + | 0.706032i | ||||
\(63\) | 3.58149 | 0.451226 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −1.95491 | − | 1.42033i | −0.242477 | − | 0.176170i | ||||
\(66\) | 0.154966 | − | 0.476937i | 0.0190750 | − | 0.0587069i | ||||
\(67\) | 7.80998 | 0.954141 | 0.477071 | − | 0.878865i | \(-0.341699\pi\) | ||||
0.477071 | + | 0.878865i | \(0.341699\pi\) | |||||||
\(68\) | −6.57343 | −0.797146 | ||||||||
\(69\) | −2.06550 | + | 6.35695i | −0.248657 | + | 0.765286i | ||||
\(70\) | 1.10674 | + | 3.40620i | 0.132281 | + | 0.407119i | ||||
\(71\) | −3.02770 | − | 9.31832i | −0.359322 | − | 1.10588i | −0.953461 | − | 0.301518i | \(-0.902507\pi\) |
0.594138 | − | 0.804363i | \(-0.297493\pi\) | |||||||
\(72\) | 0.809017 | − | 0.587785i | 0.0953436 | − | 0.0692712i | ||||
\(73\) | 1.47979 | − | 4.55434i | 0.173197 | − | 0.533045i | −0.826350 | − | 0.563157i | \(-0.809587\pi\) |
0.999547 | + | 0.0301125i | \(0.00958657\pi\) | |||||||
\(74\) | −3.07698 | + | 2.23555i | −0.357691 | + | 0.259878i | ||||
\(75\) | −0.809017 | − | 0.587785i | −0.0934172 | − | 0.0678716i | ||||
\(76\) | 0.860033 | + | 2.64691i | 0.0986526 | + | 0.303621i | ||||
\(77\) | 1.45304 | + | 1.05569i | 0.165589 | + | 0.120307i | ||||
\(78\) | −1.95491 | − | 1.42033i | −0.221350 | − | 0.160820i | ||||
\(79\) | −0.461773 | − | 1.42119i | −0.0519535 | − | 0.159897i | 0.921713 | − | 0.387872i | \(-0.126790\pi\) |
−0.973667 | + | 0.227975i | \(0.926790\pi\) | |||||||
\(80\) | 0.809017 | + | 0.587785i | 0.0904508 | + | 0.0657164i | ||||
\(81\) | −0.809017 | + | 0.587785i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | 1.32519 | − | 4.07851i | 0.146342 | − | 0.450396i | ||||
\(83\) | 14.2100 | − | 10.3241i | 1.55975 | − | 1.13322i | 0.623530 | − | 0.781800i | \(-0.285698\pi\) |
0.936217 | − | 0.351423i | \(-0.114302\pi\) | |||||||
\(84\) | 1.10674 | + | 3.40620i | 0.120756 | + | 0.371647i | ||||
\(85\) | 2.03130 | + | 6.25170i | 0.220326 | + | 0.678093i | ||||
\(86\) | −2.29518 | + | 7.06382i | −0.247495 | + | 0.761712i | ||||
\(87\) | −0.211773 | −0.0227045 | ||||||||
\(88\) | 0.501481 | 0.0534581 | ||||||||
\(89\) | −2.94628 | + | 9.06771i | −0.312305 | + | 0.961176i | 0.664545 | + | 0.747249i | \(0.268626\pi\) |
−0.976850 | + | 0.213927i | \(0.931374\pi\) | |||||||
\(90\) | −0.809017 | − | 0.587785i | −0.0852779 | − | 0.0619580i | ||||
\(91\) | 7.00150 | − | 5.08689i | 0.733956 | − | 0.533251i | ||||
\(92\) | −6.68409 | −0.696865 | ||||||||
\(93\) | 5.19236 | − | 2.00982i | 0.538423 | − | 0.208408i | ||||
\(94\) | −7.78065 | −0.802513 | ||||||||
\(95\) | 2.25160 | − | 1.63588i | 0.231009 | − | 0.167838i | ||||
\(96\) | 0.809017 | + | 0.587785i | 0.0825700 | + | 0.0599906i | ||||
\(97\) | 3.57651 | − | 11.0074i | 0.363139 | − | 1.11763i | −0.587999 | − | 0.808862i | \(-0.700084\pi\) |
0.951138 | − | 0.308766i | \(-0.0999160\pi\) | |||||||
\(98\) | −5.82710 | −0.588626 | ||||||||
\(99\) | −0.501481 | −0.0504008 | ||||||||
\(100\) | 0.309017 | − | 0.951057i | 0.0309017 | − | 0.0951057i | ||||
\(101\) | 0.0195095 | + | 0.0600442i | 0.00194127 | + | 0.00597462i | 0.952022 | − | 0.306028i | \(-0.0990002\pi\) |
−0.950081 | + | 0.312003i | \(0.899000\pi\) | |||||||
\(102\) | 2.03130 | + | 6.25170i | 0.201129 | + | 0.619011i | ||||
\(103\) | 7.51456 | − | 5.45965i | 0.740431 | − | 0.537955i | −0.152415 | − | 0.988317i | \(-0.548705\pi\) |
0.892846 | + | 0.450362i | \(0.148705\pi\) | |||||||
\(104\) | 0.746709 | − | 2.29813i | 0.0732209 | − | 0.225351i | ||||
\(105\) | 2.89749 | − | 2.10515i | 0.282766 | − | 0.205442i | ||||
\(106\) | 6.03133 | + | 4.38202i | 0.585815 | + | 0.425619i | ||||
\(107\) | 3.85569 | + | 11.8666i | 0.372744 | + | 1.14719i | 0.944988 | + | 0.327104i | \(0.106073\pi\) |
−0.572245 | + | 0.820083i | \(0.693927\pi\) | |||||||
\(108\) | −0.809017 | − | 0.587785i | −0.0778477 | − | 0.0565597i | ||||
\(109\) | −6.16630 | − | 4.48008i | −0.590625 | − | 0.429114i | 0.251914 | − | 0.967750i | \(-0.418940\pi\) |
−0.842539 | + | 0.538636i | \(0.818940\pi\) | |||||||
\(110\) | −0.154966 | − | 0.476937i | −0.0147754 | − | 0.0454742i | ||||
\(111\) | 3.07698 | + | 2.23555i | 0.292054 | + | 0.212189i | ||||
\(112\) | −2.89749 | + | 2.10515i | −0.273787 | + | 0.198918i | ||||
\(113\) | −3.44650 | + | 10.6072i | −0.324219 | + | 0.997844i | 0.647573 | + | 0.762004i | \(0.275784\pi\) |
−0.971792 | + | 0.235840i | \(0.924216\pi\) | |||||||
\(114\) | 2.25160 | − | 1.63588i | 0.210881 | − | 0.153214i | ||||
\(115\) | 2.06550 | + | 6.35695i | 0.192609 | + | 0.592788i | ||||
\(116\) | −0.0654416 | − | 0.201408i | −0.00607610 | − | 0.0187003i | ||||
\(117\) | −0.746709 | + | 2.29813i | −0.0690333 | + | 0.212463i | ||||
\(118\) | −14.9662 | −1.37775 | ||||||||
\(119\) | −23.5427 | −2.15816 | ||||||||
\(120\) | 0.309017 | − | 0.951057i | 0.0282093 | − | 0.0868192i | ||||
\(121\) | 8.69573 | + | 6.31782i | 0.790521 | + | 0.574347i | ||||
\(122\) | 10.2374 | − | 7.43794i | 0.926855 | − | 0.673400i | ||||
\(123\) | −4.28840 | −0.386672 | ||||||||
\(124\) | 3.51598 | + | 4.31716i | 0.315744 | + | 0.387693i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 2.89749 | − | 2.10515i | 0.258129 | − | 0.187542i | ||||
\(127\) | 14.0838 | + | 10.2325i | 1.24974 | + | 0.907988i | 0.998207 | − | 0.0598607i | \(-0.0190657\pi\) |
0.251532 | + | 0.967849i | \(0.419066\pi\) | |||||||
\(128\) | −0.309017 | + | 0.951057i | −0.0273135 | + | 0.0840623i | ||||
\(129\) | 7.42734 | 0.653941 | ||||||||
\(130\) | −2.41640 | −0.211932 | ||||||||
\(131\) | 1.55236 | − | 4.77769i | 0.135631 | − | 0.417428i | −0.860057 | − | 0.510198i | \(-0.829572\pi\) |
0.995688 | + | 0.0927697i | \(0.0295720\pi\) | |||||||
\(132\) | −0.154966 | − | 0.476937i | −0.0134881 | − | 0.0415120i | ||||
\(133\) | 3.08020 | + | 9.47989i | 0.267088 | + | 0.822011i | ||||
\(134\) | 6.31841 | − | 4.59059i | 0.545827 | − | 0.396567i | ||||
\(135\) | −0.309017 | + | 0.951057i | −0.0265959 | + | 0.0818539i | ||||
\(136\) | −5.31802 | + | 3.86377i | −0.456016 | + | 0.331315i | ||||
\(137\) | 8.92710 | + | 6.48592i | 0.762693 | + | 0.554129i | 0.899735 | − | 0.436436i | \(-0.143759\pi\) |
−0.137042 | + | 0.990565i | \(0.543759\pi\) | |||||||
\(138\) | 2.06550 | + | 6.35695i | 0.175827 | + | 0.541139i | ||||
\(139\) | 9.21652 | + | 6.69619i | 0.781735 | + | 0.567964i | 0.905499 | − | 0.424348i | \(-0.139497\pi\) |
−0.123764 | + | 0.992312i | \(0.539497\pi\) | |||||||
\(140\) | 2.89749 | + | 2.10515i | 0.244883 | + | 0.177918i | ||||
\(141\) | 2.40435 | + | 7.39984i | 0.202483 | + | 0.623179i | ||||
\(142\) | −7.92663 | − | 5.75904i | −0.665188 | − | 0.483288i | ||||
\(143\) | −0.980351 | + | 0.712266i | −0.0819810 | + | 0.0595627i | ||||
\(144\) | 0.309017 | − | 0.951057i | 0.0257514 | − | 0.0792547i | ||||
\(145\) | −0.171328 | + | 0.124477i | −0.0142280 | + | 0.0103373i | ||||
\(146\) | −1.47979 | − | 4.55434i | −0.122469 | − | 0.376919i | ||||
\(147\) | 1.80067 | + | 5.54190i | 0.148517 | + | 0.457088i | ||||
\(148\) | −1.17530 | + | 3.61720i | −0.0966091 | + | 0.297332i | ||||
\(149\) | 13.1965 | 1.08110 | 0.540550 | − | 0.841312i | \(-0.318216\pi\) | ||||
0.540550 | + | 0.841312i | \(0.318216\pi\) | |||||||
\(150\) | −1.00000 | −0.0816497 | ||||||||
\(151\) | −3.18803 | + | 9.81174i | −0.259438 | + | 0.798468i | 0.733485 | + | 0.679706i | \(0.237893\pi\) |
−0.992923 | + | 0.118762i | \(0.962107\pi\) | |||||||
\(152\) | 2.25160 | + | 1.63588i | 0.182629 | + | 0.132687i | ||||
\(153\) | 5.31802 | − | 3.86377i | 0.429936 | − | 0.312367i | ||||
\(154\) | 1.79605 | 0.144730 | ||||||||
\(155\) | 3.01937 | − | 4.67797i | 0.242521 | − | 0.375744i | ||||
\(156\) | −2.41640 | −0.193467 | ||||||||
\(157\) | 4.40550 | − | 3.20078i | 0.351597 | − | 0.255450i | −0.397942 | − | 0.917411i | \(-0.630275\pi\) |
0.749539 | + | 0.661960i | \(0.230275\pi\) | |||||||
\(158\) | −1.20894 | − | 0.878345i | −0.0961779 | − | 0.0698774i | ||||
\(159\) | 2.30376 | − | 7.09026i | 0.182700 | − | 0.562294i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −23.9390 | −1.88666 | ||||||||
\(162\) | −0.309017 | + | 0.951057i | −0.0242787 | + | 0.0747221i | ||||
\(163\) | −5.15388 | − | 15.8620i | −0.403683 | − | 1.24241i | −0.921990 | − | 0.387213i | \(-0.873438\pi\) |
0.518307 | − | 0.855194i | \(-0.326562\pi\) | |||||||
\(164\) | −1.32519 | − | 4.07851i | −0.103480 | − | 0.318478i | ||||
\(165\) | −0.405707 | + | 0.294763i | −0.0315842 | + | 0.0229473i | ||||
\(166\) | 5.42772 | − | 16.7048i | 0.421273 | − | 1.29655i | ||||
\(167\) | 12.2954 | − | 8.93313i | 0.951446 | − | 0.691266i | 0.000297647 | − | 1.00000i | \(-0.499905\pi\) |
0.951148 | + | 0.308734i | \(0.0999053\pi\) | |||||||
\(168\) | 2.89749 | + | 2.10515i | 0.223546 | + | 0.162416i | ||||
\(169\) | −2.21287 | − | 6.81052i | −0.170221 | − | 0.523886i | ||||
\(170\) | 5.31802 | + | 3.86377i | 0.407873 | + | 0.296337i | ||||
\(171\) | −2.25160 | − | 1.63588i | −0.172184 | − | 0.125099i | ||||
\(172\) | 2.29518 | + | 7.06382i | 0.175005 | + | 0.538611i | ||||
\(173\) | 0.410826 | + | 0.298482i | 0.0312345 | + | 0.0226932i | 0.603293 | − | 0.797520i | \(-0.293855\pi\) |
−0.572058 | + | 0.820213i | \(0.693855\pi\) | |||||||
\(174\) | −0.171328 | + | 0.124477i | −0.0129884 | + | 0.00943660i | ||||
\(175\) | 1.10674 | − | 3.40620i | 0.0836619 | − | 0.257485i | ||||
\(176\) | 0.405707 | − | 0.294763i | 0.0305813 | − | 0.0222186i | ||||
\(177\) | 4.62482 | + | 14.2337i | 0.347622 | + | 1.06987i | ||||
\(178\) | 2.94628 | + | 9.06771i | 0.220833 | + | 0.679654i | ||||
\(179\) | 5.32140 | − | 16.3776i | 0.397740 | − | 1.22412i | −0.529067 | − | 0.848580i | \(-0.677458\pi\) |
0.926807 | − | 0.375538i | \(-0.122542\pi\) | |||||||
\(180\) | −1.00000 | −0.0745356 | ||||||||
\(181\) | 9.73814 | 0.723830 | 0.361915 | − | 0.932211i | \(-0.382123\pi\) | ||||
0.361915 | + | 0.932211i | \(0.382123\pi\) | |||||||
\(182\) | 2.67433 | − | 8.23076i | 0.198235 | − | 0.610104i | ||||
\(183\) | −10.2374 | − | 7.43794i | −0.756774 | − | 0.549828i | ||||
\(184\) | −5.40754 | + | 3.92881i | −0.398649 | + | 0.289636i | ||||
\(185\) | 3.80335 | 0.279628 | ||||||||
\(186\) | 3.01937 | − | 4.67797i | 0.221391 | − | 0.343005i | ||||
\(187\) | 3.29645 | 0.241060 | ||||||||
\(188\) | −6.29468 | + | 4.57335i | −0.459086 | + | 0.333546i | ||||
\(189\) | −2.89749 | − | 2.10515i | −0.210761 | − | 0.153127i | ||||
\(190\) | 0.860033 | − | 2.64691i | 0.0623934 | − | 0.192027i | ||||
\(191\) | 12.6497 | 0.915299 | 0.457650 | − | 0.889133i | \(-0.348691\pi\) | ||||
0.457650 | + | 0.889133i | \(0.348691\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | 2.01790 | − | 6.21046i | 0.145252 | − | 0.447038i | −0.851792 | − | 0.523881i | \(-0.824484\pi\) |
0.997043 | + | 0.0768422i | \(0.0244838\pi\) | |||||||
\(194\) | −3.57651 | − | 11.0074i | −0.256778 | − | 0.790282i | ||||
\(195\) | 0.746709 | + | 2.29813i | 0.0534730 | + | 0.164573i | ||||
\(196\) | −4.71422 | + | 3.42508i | −0.336730 | + | 0.244649i | ||||
\(197\) | −3.35579 | + | 10.3280i | −0.239090 | + | 0.735843i | 0.757463 | + | 0.652878i | \(0.226439\pi\) |
−0.996553 | + | 0.0829644i | \(0.973561\pi\) | |||||||
\(198\) | −0.405707 | + | 0.294763i | −0.0288323 | + | 0.0209479i | ||||
\(199\) | −13.4251 | − | 9.75394i | −0.951683 | − | 0.691439i | −0.000479019 | − | 1.00000i | \(-0.500152\pi\) |
−0.951204 | + | 0.308561i | \(0.900152\pi\) | |||||||
\(200\) | −0.309017 | − | 0.951057i | −0.0218508 | − | 0.0672499i | ||||
\(201\) | −6.31841 | − | 4.59059i | −0.445666 | − | 0.323795i | ||||
\(202\) | 0.0510766 | + | 0.0371093i | 0.00359374 | + | 0.00261100i | ||||
\(203\) | −0.234379 | − | 0.721343i | −0.0164502 | − | 0.0506284i | ||||
\(204\) | 5.31802 | + | 3.86377i | 0.372336 | + | 0.270518i | ||||
\(205\) | −3.46939 | + | 2.52066i | −0.242312 | + | 0.176050i | ||||
\(206\) | 2.87031 | − | 8.83389i | 0.199984 | − | 0.615486i | ||||
\(207\) | 5.40754 | − | 3.92881i | 0.375850 | − | 0.273071i | ||||
\(208\) | −0.746709 | − | 2.29813i | −0.0517750 | − | 0.159347i | ||||
\(209\) | −0.431291 | − | 1.32738i | −0.0298330 | − | 0.0918165i | ||||
\(210\) | 1.10674 | − | 3.40620i | 0.0763725 | − | 0.235050i | ||||
\(211\) | 23.0187 | 1.58467 | 0.792336 | − | 0.610085i | \(-0.208865\pi\) | ||||
0.792336 | + | 0.610085i | \(0.208865\pi\) | |||||||
\(212\) | 7.45514 | 0.512021 | ||||||||
\(213\) | −3.02770 | + | 9.31832i | −0.207455 | + | 0.638481i | ||||
\(214\) | 10.0943 | + | 7.33396i | 0.690034 | + | 0.501339i | ||||
\(215\) | 6.00885 | − | 4.36568i | 0.409800 | − | 0.297737i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | 12.5925 | + | 15.4619i | 0.854832 | + | 1.04962i | ||||
\(218\) | −7.62197 | −0.516225 | ||||||||
\(219\) | −3.87415 | + | 2.81473i | −0.261791 | + | 0.190202i | ||||
\(220\) | −0.405707 | − | 0.294763i | −0.0273527 | − | 0.0198729i | ||||
\(221\) | 4.90844 | − | 15.1066i | 0.330177 | − | 1.01618i | ||||
\(222\) | 3.80335 | 0.255264 | ||||||||
\(223\) | 15.0055 | 1.00484 | 0.502420 | − | 0.864624i | \(-0.332443\pi\) | ||||
0.502420 | + | 0.864624i | \(0.332443\pi\) | |||||||
\(224\) | −1.10674 | + | 3.40620i | −0.0739473 | + | 0.227587i | ||||
\(225\) | 0.309017 | + | 0.951057i | 0.0206011 | + | 0.0634038i | ||||
\(226\) | 3.44650 | + | 10.6072i | 0.229257 | + | 0.705582i | ||||
\(227\) | −4.08525 | + | 2.96811i | −0.271147 | + | 0.197000i | −0.715047 | − | 0.699076i | \(-0.753595\pi\) |
0.443900 | + | 0.896077i | \(0.353595\pi\) | |||||||
\(228\) | 0.860033 | − | 2.64691i | 0.0569571 | − | 0.175296i | ||||
\(229\) | −19.2261 | + | 13.9685i | −1.27049 | + | 0.923068i | −0.999222 | − | 0.0394354i | \(-0.987444\pi\) |
−0.271271 | + | 0.962503i | \(0.587444\pi\) | |||||||
\(230\) | 5.40754 | + | 3.92881i | 0.356563 | + | 0.259058i | ||||
\(231\) | −0.555011 | − | 1.70815i | −0.0365170 | − | 0.112388i | ||||
\(232\) | −0.171328 | − | 0.124477i | −0.0112483 | − | 0.00817233i | ||||
\(233\) | −16.4601 | − | 11.9589i | −1.07833 | − | 0.783455i | −0.100942 | − | 0.994892i | \(-0.532186\pi\) |
−0.977392 | + | 0.211437i | \(0.932186\pi\) | |||||||
\(234\) | 0.746709 | + | 2.29813i | 0.0488139 | + | 0.150234i | ||||
\(235\) | 6.29468 | + | 4.57335i | 0.410619 | + | 0.298332i | ||||
\(236\) | −12.1079 | + | 8.79692i | −0.788159 | + | 0.572631i | ||||
\(237\) | −0.461773 | + | 1.42119i | −0.0299954 | + | 0.0923163i | ||||
\(238\) | −19.0464 | + | 13.8381i | −1.23460 | + | 0.896988i | ||||
\(239\) | 3.31551 | + | 10.2041i | 0.214462 | + | 0.660048i | 0.999191 | + | 0.0402084i | \(0.0128022\pi\) |
−0.784729 | + | 0.619839i | \(0.787198\pi\) | |||||||
\(240\) | −0.309017 | − | 0.951057i | −0.0199470 | − | 0.0613904i | ||||
\(241\) | −5.63143 | + | 17.3317i | −0.362752 | + | 1.11644i | 0.588625 | + | 0.808406i | \(0.299670\pi\) |
−0.951377 | + | 0.308030i | \(0.900330\pi\) | |||||||
\(242\) | 10.7485 | 0.690941 | ||||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 3.91036 | − | 12.0348i | 0.250335 | − | 0.770452i | ||||
\(245\) | 4.71422 | + | 3.42508i | 0.301181 | + | 0.218821i | ||||
\(246\) | −3.46939 | + | 2.52066i | −0.221200 | + | 0.160711i | ||||
\(247\) | −6.72515 | −0.427911 | ||||||||
\(248\) | 5.38205 | + | 1.42602i | 0.341761 | + | 0.0905522i | ||||
\(249\) | −17.5645 | −1.11310 | ||||||||
\(250\) | −0.809017 | + | 0.587785i | −0.0511667 | + | 0.0371748i | ||||
\(251\) | −16.3529 | − | 11.8811i | −1.03219 | − | 0.749927i | −0.0634412 | − | 0.997986i | \(-0.520208\pi\) |
−0.968745 | + | 0.248058i | \(0.920208\pi\) | |||||||
\(252\) | 1.10674 | − | 3.40620i | 0.0697182 | − | 0.214571i | ||||
\(253\) | 3.35195 | 0.210735 | ||||||||
\(254\) | 17.4086 | 1.09231 | ||||||||
\(255\) | 2.03130 | − | 6.25170i | 0.127205 | − | 0.391497i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 0.0520666 | + | 0.160244i | 0.00324782 | + | 0.00999577i | 0.952667 | − | 0.304015i | \(-0.0983272\pi\) |
−0.949419 | + | 0.314011i | \(0.898327\pi\) | |||||||
\(258\) | 6.00885 | − | 4.36568i | 0.374094 | − | 0.271796i | ||||
\(259\) | −4.20933 | + | 12.9550i | −0.261555 | + | 0.804984i | ||||
\(260\) | −1.95491 | + | 1.42033i | −0.121238 | + | 0.0880848i | ||||
\(261\) | 0.171328 | + | 0.124477i | 0.0106050 | + | 0.00770495i | ||||
\(262\) | −1.55236 | − | 4.77769i | −0.0959054 | − | 0.295166i | ||||
\(263\) | 5.49419 | + | 3.99176i | 0.338786 | + | 0.246143i | 0.744149 | − | 0.668013i | \(-0.232855\pi\) |
−0.405363 | + | 0.914156i | \(0.632855\pi\) | |||||||
\(264\) | −0.405707 | − | 0.294763i | −0.0249695 | − | 0.0181414i | ||||
\(265\) | −2.30376 | − | 7.09026i | −0.141519 | − | 0.435551i | ||||
\(266\) | 8.06408 | + | 5.85890i | 0.494440 | + | 0.359232i | ||||
\(267\) | 7.71346 | − | 5.60416i | 0.472056 | − | 0.342969i | ||||
\(268\) | 2.41342 | − | 7.42774i | 0.147423 | − | 0.453721i | ||||
\(269\) | 1.21011 | − | 0.879197i | 0.0737817 | − | 0.0536056i | −0.550283 | − | 0.834978i | \(-0.685480\pi\) |
0.624065 | + | 0.781373i | \(0.285480\pi\) | |||||||
\(270\) | 0.309017 | + | 0.951057i | 0.0188062 | + | 0.0578795i | ||||
\(271\) | 2.10697 | + | 6.48457i | 0.127989 | + | 0.393910i | 0.994434 | − | 0.105363i | \(-0.0336005\pi\) |
−0.866445 | + | 0.499273i | \(0.833601\pi\) | |||||||
\(272\) | −2.03130 | + | 6.25170i | −0.123166 | + | 0.379065i | ||||
\(273\) | −8.65433 | −0.523784 | ||||||||
\(274\) | 11.0345 | 0.666618 | ||||||||
\(275\) | −0.154966 | + | 0.476937i | −0.00934481 | + | 0.0287604i | ||||
\(276\) | 5.40754 | + | 3.92881i | 0.325496 | + | 0.236487i | ||||
\(277\) | −1.56895 | + | 1.13991i | −0.0942688 | + | 0.0684903i | −0.633921 | − | 0.773398i | \(-0.718556\pi\) |
0.539652 | + | 0.841888i | \(0.318556\pi\) | |||||||
\(278\) | 11.3922 | 0.683261 | ||||||||
\(279\) | −5.38205 | − | 1.42602i | −0.322215 | − | 0.0853734i | ||||
\(280\) | 3.58149 | 0.214035 | ||||||||
\(281\) | 6.32874 | − | 4.59810i | 0.377541 | − | 0.274300i | −0.382790 | − | 0.923835i | \(-0.625037\pi\) |
0.760331 | + | 0.649536i | \(0.225037\pi\) | |||||||
\(282\) | 6.29468 | + | 4.57335i | 0.374843 | + | 0.272339i | ||||
\(283\) | 8.44314 | − | 25.9853i | 0.501893 | − | 1.54467i | −0.304040 | − | 0.952659i | \(-0.598336\pi\) |
0.805932 | − | 0.592008i | \(-0.201664\pi\) | |||||||
\(284\) | −9.79786 | −0.581396 | ||||||||
\(285\) | −2.78313 | −0.164858 | ||||||||
\(286\) | −0.374461 | + | 1.15247i | −0.0221423 | + | 0.0681471i | ||||
\(287\) | −4.74615 | − | 14.6072i | −0.280156 | − | 0.862233i | ||||
\(288\) | −0.309017 | − | 0.951057i | −0.0182090 | − | 0.0560415i | ||||
\(289\) | −21.2043 | + | 15.4058i | −1.24731 | + | 0.906226i | ||||
\(290\) | −0.0654416 | + | 0.201408i | −0.00384286 | + | 0.0118271i | ||||
\(291\) | −9.36342 | + | 6.80292i | −0.548893 | + | 0.398794i | ||||
\(292\) | −3.87415 | − | 2.81473i | −0.226717 | − | 0.164720i | ||||
\(293\) | −1.48196 | − | 4.56101i | −0.0865771 | − | 0.266457i | 0.898390 | − | 0.439198i | \(-0.144737\pi\) |
−0.984967 | + | 0.172742i | \(0.944737\pi\) | |||||||
\(294\) | 4.71422 | + | 3.42508i | 0.274939 | + | 0.199755i | ||||
\(295\) | 12.1079 | + | 8.79692i | 0.704951 | + | 0.512177i | ||||
\(296\) | 1.17530 | + | 3.61720i | 0.0683129 | + | 0.210246i | ||||
\(297\) | 0.405707 | + | 0.294763i | 0.0235415 | + | 0.0171039i | ||||
\(298\) | 10.6762 | − | 7.75672i | 0.618456 | − | 0.449334i | ||||
\(299\) | 4.99107 | − | 15.3609i | 0.288641 | − | 0.888346i | ||||
\(300\) | −0.809017 | + | 0.587785i | −0.0467086 | + | 0.0339358i | ||||
\(301\) | 8.22016 | + | 25.2990i | 0.473802 | + | 1.45821i | ||||
\(302\) | 3.18803 | + | 9.81174i | 0.183450 | + | 0.564602i | ||||
\(303\) | 0.0195095 | − | 0.0600442i | 0.00112079 | − | 0.00344945i | ||||
\(304\) | 2.78313 | 0.159623 | ||||||||
\(305\) | −12.6542 | −0.724576 | ||||||||
\(306\) | 2.03130 | − | 6.25170i | 0.116122 | − | 0.357386i | ||||
\(307\) | −0.632059 | − | 0.459218i | −0.0360735 | − | 0.0262090i | 0.569602 | − | 0.821920i | \(-0.307097\pi\) |
−0.605676 | + | 0.795711i | \(0.707097\pi\) | |||||||
\(308\) | 1.45304 | − | 1.05569i | 0.0827944 | − | 0.0601537i | ||||
\(309\) | −9.28850 | −0.528405 | ||||||||
\(310\) | −0.306922 | − | 5.55930i | −0.0174320 | − | 0.315747i | ||||
\(311\) | −22.5916 | −1.28105 | −0.640525 | − | 0.767937i | \(-0.721283\pi\) | ||||
−0.640525 | + | 0.767937i | \(0.721283\pi\) | |||||||
\(312\) | −1.95491 | + | 1.42033i | −0.110675 | + | 0.0804101i | ||||
\(313\) | 5.00781 | + | 3.63839i | 0.283058 | + | 0.205654i | 0.720250 | − | 0.693714i | \(-0.244027\pi\) |
−0.437192 | + | 0.899368i | \(0.644027\pi\) | |||||||
\(314\) | 1.68275 | − | 5.17898i | 0.0949631 | − | 0.292266i | ||||
\(315\) | −3.58149 | −0.201794 | ||||||||
\(316\) | −1.49433 | −0.0840626 | ||||||||
\(317\) | −4.11663 | + | 12.6697i | −0.231213 | + | 0.711601i | 0.766388 | + | 0.642378i | \(0.222052\pi\) |
−0.997601 | + | 0.0692232i | \(0.977948\pi\) | |||||||
\(318\) | −2.30376 | − | 7.09026i | −0.129189 | − | 0.397602i | ||||
\(319\) | 0.0328177 | + | 0.101003i | 0.00183744 | + | 0.00565506i | ||||
\(320\) | 0.809017 | − | 0.587785i | 0.0452254 | − | 0.0328582i | ||||
\(321\) | 3.85569 | − | 11.8666i | 0.215204 | − | 0.662329i | ||||
\(322\) | −19.3671 | + | 14.0710i | −1.07929 | + | 0.784147i | ||||
\(323\) | 14.8007 | + | 10.7533i | 0.823534 | + | 0.598332i | ||||
\(324\) | 0.309017 | + | 0.951057i | 0.0171676 | + | 0.0528365i | ||||
\(325\) | 1.95491 | + | 1.42033i | 0.108439 | + | 0.0787855i | ||||
\(326\) | −13.4930 | − | 9.80326i | −0.747310 | − | 0.542952i | ||||
\(327\) | 2.35532 | + | 7.24892i | 0.130249 | + | 0.400866i | ||||
\(328\) | −3.46939 | − | 2.52066i | −0.191565 | − | 0.139180i | ||||
\(329\) | −22.5443 | + | 16.3794i | −1.24291 | + | 0.903027i | ||||
\(330\) | −0.154966 | + | 0.476937i | −0.00853061 | + | 0.0262545i | ||||
\(331\) | −19.3522 | + | 14.0602i | −1.06369 | + | 0.772819i | −0.974768 | − | 0.223219i | \(-0.928343\pi\) |
−0.0889257 | + | 0.996038i | \(0.528343\pi\) | |||||||
\(332\) | −5.42772 | − | 16.7048i | −0.297885 | − | 0.916796i | ||||
\(333\) | −1.17530 | − | 3.61720i | −0.0644060 | − | 0.198221i | ||||
\(334\) | 4.69642 | − | 14.4541i | 0.256977 | − | 0.790893i | ||||
\(335\) | −7.80998 | −0.426705 | ||||||||
\(336\) | 3.58149 | 0.195387 | ||||||||
\(337\) | 1.82352 | − | 5.61223i | 0.0993337 | − | 0.305718i | −0.889025 | − | 0.457858i | \(-0.848617\pi\) |
0.988359 | + | 0.152141i | \(0.0486167\pi\) | |||||||
\(338\) | −5.79337 | − | 4.20913i | −0.315118 | − | 0.228947i | ||||
\(339\) | 9.02304 | − | 6.55562i | 0.490064 | − | 0.356053i | ||||
\(340\) | 6.57343 | 0.356494 | ||||||||
\(341\) | −1.76320 | − | 2.16498i | −0.0954825 | − | 0.117240i | ||||
\(342\) | −2.78313 | −0.150494 | ||||||||
\(343\) | 3.39847 | − | 2.46913i | 0.183500 | − | 0.133321i | ||||
\(344\) | 6.00885 | + | 4.36568i | 0.323975 | + | 0.235382i | ||||
\(345\) | 2.06550 | − | 6.35695i | 0.111203 | − | 0.342247i | ||||
\(346\) | 0.507808 | 0.0273000 | ||||||||
\(347\) | 23.0046 | 1.23495 | 0.617475 | − | 0.786591i | \(-0.288156\pi\) | ||||
0.617475 | + | 0.786591i | \(0.288156\pi\) | |||||||
\(348\) | −0.0654416 | + | 0.201408i | −0.00350804 | + | 0.0107966i | ||||
\(349\) | −3.50327 | − | 10.7820i | −0.187526 | − | 0.577146i | 0.812457 | − | 0.583021i | \(-0.198130\pi\) |
−0.999983 | + | 0.00587582i | \(0.998130\pi\) | |||||||
\(350\) | −1.10674 | − | 3.40620i | −0.0591579 | − | 0.182069i | ||||
\(351\) | 1.95491 | − | 1.42033i | 0.104345 | − | 0.0758114i | ||||
\(352\) | 0.154966 | − | 0.476937i | 0.00825973 | − | 0.0254208i | ||||
\(353\) | −12.0730 | + | 8.77154i | −0.642580 | + | 0.466862i | −0.860736 | − | 0.509052i | \(-0.829996\pi\) |
0.218155 | + | 0.975914i | \(0.429996\pi\) | |||||||
\(354\) | 12.1079 | + | 8.79692i | 0.643529 | + | 0.467551i | ||||
\(355\) | 3.02770 | + | 9.31832i | 0.160694 | + | 0.494565i | ||||
\(356\) | 7.71346 | + | 5.60416i | 0.408812 | + | 0.297020i | ||||
\(357\) | 19.0464 | + | 13.8381i | 1.00804 | + | 0.732387i | ||||
\(358\) | −5.32140 | − | 16.3776i | −0.281245 | − | 0.865582i | ||||
\(359\) | −29.6291 | − | 21.5268i | −1.56377 | − | 1.13614i | −0.932836 | − | 0.360302i | \(-0.882674\pi\) |
−0.630930 | − | 0.775840i | \(-0.717326\pi\) | |||||||
\(360\) | −0.809017 | + | 0.587785i | −0.0426389 | + | 0.0309790i | ||||
\(361\) | −3.47774 | + | 10.7034i | −0.183039 | + | 0.563336i | ||||
\(362\) | 7.87832 | − | 5.72394i | 0.414075 | − | 0.300843i | ||||
\(363\) | −3.32147 | − | 10.2224i | −0.174332 | − | 0.536539i | ||||
\(364\) | −2.67433 | − | 8.23076i | −0.140173 | − | 0.431409i | ||||
\(365\) | −1.47979 | + | 4.55434i | −0.0774559 | + | 0.238385i | ||||
\(366\) | −12.6542 | −0.661445 | ||||||||
\(367\) | −24.0586 | −1.25585 | −0.627926 | − | 0.778273i | \(-0.716096\pi\) | ||||
−0.627926 | + | 0.778273i | \(0.716096\pi\) | |||||||
\(368\) | −2.06550 | + | 6.35695i | −0.107671 | + | 0.331379i | ||||
\(369\) | 3.46939 | + | 2.52066i | 0.180609 | + | 0.131220i | ||||
\(370\) | 3.07698 | − | 2.23555i | 0.159964 | − | 0.116221i | ||||
\(371\) | 26.7005 | 1.38622 | ||||||||
\(372\) | −0.306922 | − | 5.55930i | −0.0159132 | − | 0.288236i | ||||
\(373\) | −5.63670 | −0.291857 | −0.145929 | − | 0.989295i | \(-0.546617\pi\) | ||||
−0.145929 | + | 0.989295i | \(0.546617\pi\) | |||||||
\(374\) | 2.66689 | − | 1.93761i | 0.137901 | − | 0.100191i | ||||
\(375\) | 0.809017 | + | 0.587785i | 0.0417775 | + | 0.0303531i | ||||
\(376\) | −2.40435 | + | 7.39984i | −0.123995 | + | 0.381617i | ||||
\(377\) | 0.511730 | 0.0263554 | ||||||||
\(378\) | −3.58149 | −0.184212 | ||||||||
\(379\) | 7.80320 | − | 24.0158i | 0.400823 | − | 1.23361i | −0.523510 | − | 0.852020i | \(-0.675378\pi\) |
0.924333 | − | 0.381587i | \(-0.124622\pi\) | |||||||
\(380\) | −0.860033 | − | 2.64691i | −0.0441188 | − | 0.135784i | ||||
\(381\) | −5.37955 | − | 16.5565i | −0.275603 | − | 0.848218i | ||||
\(382\) | 10.2338 | − | 7.43530i | 0.523607 | − | 0.380423i | ||||
\(383\) | 4.71328 | − | 14.5060i | 0.240837 | − | 0.741221i | −0.755456 | − | 0.655199i | \(-0.772585\pi\) |
0.996293 | − | 0.0860215i | \(-0.0274154\pi\) | |||||||
\(384\) | 0.809017 | − | 0.587785i | 0.0412850 | − | 0.0299953i | ||||
\(385\) | −1.45304 | − | 1.05569i | −0.0740536 | − | 0.0538031i | ||||
\(386\) | −2.01790 | − | 6.21046i | −0.102708 | − | 0.316104i | ||||
\(387\) | −6.00885 | − | 4.36568i | −0.305447 | − | 0.221920i | ||||
\(388\) | −9.36342 | − | 6.80292i | −0.475356 | − | 0.345366i | ||||
\(389\) | 4.36783 | + | 13.4428i | 0.221458 | + | 0.681576i | 0.998632 | + | 0.0522909i | \(0.0166523\pi\) |
−0.777174 | + | 0.629285i | \(0.783348\pi\) | |||||||
\(390\) | 1.95491 | + | 1.42033i | 0.0989907 | + | 0.0719210i | ||||
\(391\) | −35.5461 | + | 25.8258i | −1.79764 | + | 1.30606i | ||||
\(392\) | −1.80067 | + | 5.54190i | −0.0909477 | + | 0.279908i | ||||
\(393\) | −4.06414 | + | 2.95277i | −0.205009 | + | 0.148948i | ||||
\(394\) | 3.35579 | + | 10.3280i | 0.169062 | + | 0.520320i | ||||
\(395\) | 0.461773 | + | 1.42119i | 0.0232343 | + | 0.0715079i | ||||
\(396\) | −0.154966 | + | 0.476937i | −0.00778735 | + | 0.0239670i | ||||
\(397\) | 9.17829 | 0.460645 | 0.230322 | − | 0.973114i | \(-0.426022\pi\) | ||||
0.230322 | + | 0.973114i | \(0.426022\pi\) | |||||||
\(398\) | −16.5944 | −0.831802 | ||||||||
\(399\) | 3.08020 | − | 9.47989i | 0.154203 | − | 0.474588i | ||||
\(400\) | −0.809017 | − | 0.587785i | −0.0404508 | − | 0.0293893i | ||||
\(401\) | 20.0922 | − | 14.5979i | 1.00336 | − | 0.728983i | 0.0405528 | − | 0.999177i | \(-0.487088\pi\) |
0.962806 | + | 0.270195i | \(0.0870881\pi\) | |||||||
\(402\) | −7.80998 | −0.389527 | ||||||||
\(403\) | −12.5468 | + | 4.85653i | −0.625002 | + | 0.241921i | ||||
\(404\) | 0.0631342 | 0.00314104 | ||||||||
\(405\) | 0.809017 | − | 0.587785i | 0.0402004 | − | 0.0292073i | ||||
\(406\) | −0.613611 | − | 0.445815i | −0.0304530 | − | 0.0221254i | ||||
\(407\) | 0.589391 | − | 1.81396i | 0.0292150 | − | 0.0899146i | ||||
\(408\) | 6.57343 | 0.325433 | ||||||||
\(409\) | 15.3601 | 0.759509 | 0.379755 | − | 0.925087i | \(-0.376008\pi\) | ||||
0.379755 | + | 0.925087i | \(0.376008\pi\) | |||||||
\(410\) | −1.32519 | + | 4.07851i | −0.0654464 | + | 0.201423i | ||||
\(411\) | −3.40985 | − | 10.4944i | −0.168195 | − | 0.517652i | ||||
\(412\) | −2.87031 | − | 8.83389i | −0.141410 | − | 0.435215i | ||||
\(413\) | −43.3645 | + | 31.5061i | −2.13383 | + | 1.55032i | ||||
\(414\) | 2.06550 | − | 6.35695i | 0.101514 | − | 0.312427i | ||||
\(415\) | −14.2100 | + | 10.3241i | −0.697540 | + | 0.506792i | ||||
\(416\) | −1.95491 | − | 1.42033i | −0.0958474 | − | 0.0696372i | ||||
\(417\) | −3.52040 | − | 10.8347i | −0.172395 | − | 0.530576i | ||||
\(418\) | −1.12913 | − | 0.820363i | −0.0552277 | − | 0.0401253i | ||||
\(419\) | 16.1251 | + | 11.7156i | 0.787762 | + | 0.572343i | 0.907299 | − | 0.420487i | \(-0.138141\pi\) |
−0.119536 | + | 0.992830i | \(0.538141\pi\) | |||||||
\(420\) | −1.10674 | − | 3.40620i | −0.0540035 | − | 0.166206i | ||||
\(421\) | 12.2160 | + | 8.87546i | 0.595372 | + | 0.432563i | 0.844233 | − | 0.535976i | \(-0.180056\pi\) |
−0.248861 | + | 0.968539i | \(0.580056\pi\) | |||||||
\(422\) | 18.6225 | − | 13.5300i | 0.906529 | − | 0.658632i | ||||
\(423\) | 2.40435 | − | 7.39984i | 0.116904 | − | 0.359792i | ||||
\(424\) | 6.03133 | − | 4.38202i | 0.292907 | − | 0.212810i | ||||
\(425\) | −2.03130 | − | 6.25170i | −0.0985326 | − | 0.303252i | ||||
\(426\) | 3.02770 | + | 9.31832i | 0.146693 | + | 0.451474i | ||||
\(427\) | 14.0049 | − | 43.1027i | 0.677746 | − | 2.08589i | ||||
\(428\) | 12.4773 | 0.603112 | ||||||||
\(429\) | 1.21178 | 0.0585053 | ||||||||
\(430\) | 2.29518 | − | 7.06382i | 0.110683 | − | 0.340648i | ||||
\(431\) | −19.4342 | − | 14.1198i | −0.936112 | − | 0.680126i | 0.0113693 | − | 0.999935i | \(-0.496381\pi\) |
−0.947482 | + | 0.319810i | \(0.896381\pi\) | |||||||
\(432\) | −0.809017 | + | 0.587785i | −0.0389238 | + | 0.0282798i | ||||
\(433\) | 16.5843 | 0.796990 | 0.398495 | − | 0.917170i | \(-0.369533\pi\) | ||||
0.398495 | + | 0.917170i | \(0.369533\pi\) | |||||||
\(434\) | 19.2758 | + | 5.10727i | 0.925267 | + | 0.245157i | ||||
\(435\) | 0.211773 | 0.0101538 | ||||||||
\(436\) | −6.16630 | + | 4.48008i | −0.295312 | + | 0.214557i | ||||
\(437\) | 15.0499 | + | 10.9344i | 0.719933 | + | 0.523062i | ||||
\(438\) | −1.47979 | + | 4.55434i | −0.0707073 | + | 0.217615i | ||||
\(439\) | −25.1009 | −1.19800 | −0.598999 | − | 0.800750i | \(-0.704435\pi\) | ||||
−0.598999 | + | 0.800750i | \(0.704435\pi\) | |||||||
\(440\) | −0.501481 | −0.0239072 | ||||||||
\(441\) | 1.80067 | − | 5.54190i | 0.0857463 | − | 0.263900i | ||||
\(442\) | −4.90844 | − | 15.1066i | −0.233471 | − | 0.718549i | ||||
\(443\) | 5.07401 | + | 15.6162i | 0.241073 | + | 0.741948i | 0.996257 | + | 0.0864350i | \(0.0275475\pi\) |
−0.755184 | + | 0.655513i | \(0.772453\pi\) | |||||||
\(444\) | 3.07698 | − | 2.23555i | 0.146027 | − | 0.106095i | ||||
\(445\) | 2.94628 | − | 9.06771i | 0.139667 | − | 0.429851i | ||||
\(446\) | 12.1397 | − | 8.81999i | 0.574830 | − | 0.417638i | ||||
\(447\) | −10.6762 | − | 7.75672i | −0.504967 | − | 0.366880i | ||||
\(448\) | 1.10674 | + | 3.40620i | 0.0522887 | + | 0.160928i | ||||
\(449\) | 31.3582 | + | 22.7831i | 1.47989 | + | 1.07520i | 0.977593 | + | 0.210502i | \(0.0675099\pi\) |
0.502292 | + | 0.864698i | \(0.332490\pi\) | |||||||
\(450\) | 0.809017 | + | 0.587785i | 0.0381374 | + | 0.0277085i | ||||
\(451\) | 0.664557 | + | 2.04530i | 0.0312928 | + | 0.0963092i | ||||
\(452\) | 9.02304 | + | 6.55562i | 0.424408 | + | 0.308351i | ||||
\(453\) | 8.34636 | − | 6.06399i | 0.392146 | − | 0.284911i | ||||
\(454\) | −1.56043 | + | 4.80250i | −0.0732344 | + | 0.225392i | ||||
\(455\) | −7.00150 | + | 5.08689i | −0.328235 | + | 0.238477i | ||||
\(456\) | −0.860033 | − | 2.64691i | −0.0402747 | − | 0.123953i | ||||
\(457\) | 5.87641 | + | 18.0857i | 0.274887 | + | 0.846014i | 0.989249 | + | 0.146239i | \(0.0467167\pi\) |
−0.714363 | + | 0.699776i | \(0.753283\pi\) | |||||||
\(458\) | −7.34370 | + | 22.6016i | −0.343149 | + | 1.05610i | ||||
\(459\) | −6.57343 | −0.306821 | ||||||||
\(460\) | 6.68409 | 0.311647 | ||||||||
\(461\) | 2.80338 | − | 8.62791i | 0.130566 | − | 0.401842i | −0.864308 | − | 0.502963i | \(-0.832243\pi\) |
0.994874 | + | 0.101122i | \(0.0322431\pi\) | |||||||
\(462\) | −1.45304 | − | 1.05569i | −0.0676014 | − | 0.0491153i | ||||
\(463\) | −21.7756 | + | 15.8209i | −1.01200 | + | 0.735258i | −0.964627 | − | 0.263620i | \(-0.915084\pi\) |
−0.0473690 | + | 0.998877i | \(0.515084\pi\) | |||||||
\(464\) | −0.211773 | −0.00983133 | ||||||||
\(465\) | −5.19236 | + | 2.00982i | −0.240790 | + | 0.0932031i | ||||
\(466\) | −20.3457 | −0.942498 | ||||||||
\(467\) | −22.8436 | + | 16.5968i | −1.05707 | + | 0.768009i | −0.973545 | − | 0.228496i | \(-0.926619\pi\) |
−0.0835289 | + | 0.996505i | \(0.526619\pi\) | |||||||
\(468\) | 1.95491 | + | 1.42033i | 0.0903657 | + | 0.0656546i | ||||
\(469\) | 8.64364 | − | 26.6024i | 0.399126 | − | 1.22838i | ||||
\(470\) | 7.78065 | 0.358895 | ||||||||
\(471\) | −5.44550 | −0.250915 | ||||||||
\(472\) | −4.62482 | + | 14.2337i | −0.212874 | + | 0.655160i | ||||
\(473\) | −1.15099 | − | 3.54237i | −0.0529225 | − | 0.162879i | ||||
\(474\) | 0.461773 | + | 1.42119i | 0.0212099 | + | 0.0652775i | ||||
\(475\) | −2.25160 | + | 1.63588i | −0.103310 | + | 0.0750593i | ||||
\(476\) | −7.27510 | + | 22.3904i | −0.333453 | + | 1.02626i | ||||
\(477\) | −6.03133 | + | 4.38202i | −0.276156 | + | 0.200639i | ||||
\(478\) | 8.68012 | + | 6.30647i | 0.397019 | + | 0.288451i | ||||
\(479\) | 1.25736 | + | 3.86975i | 0.0574502 | + | 0.176814i | 0.975664 | − | 0.219272i | \(-0.0703683\pi\) |
−0.918214 | + | 0.396086i | \(0.870368\pi\) | |||||||
\(480\) | −0.809017 | − | 0.587785i | −0.0369264 | − | 0.0268286i | ||||
\(481\) | −7.43521 | − | 5.40200i | −0.339016 | − | 0.246310i | ||||
\(482\) | 5.63143 | + | 17.3317i | 0.256504 | + | 0.789439i | ||||
\(483\) | 19.3671 | + | 14.0710i | 0.881233 | + | 0.640253i | ||||
\(484\) | 8.69573 | − | 6.31782i | 0.395261 | − | 0.287174i | ||||
\(485\) | −3.57651 | + | 11.0074i | −0.162401 | + | 0.499818i | ||||
\(486\) | 0.809017 | − | 0.587785i | 0.0366978 | − | 0.0266625i | ||||
\(487\) | 0.883226 | + | 2.71829i | 0.0400228 | + | 0.123177i | 0.969072 | − | 0.246780i | \(-0.0793724\pi\) |
−0.929049 | + | 0.369957i | \(0.879372\pi\) | |||||||
\(488\) | −3.91036 | − | 12.0348i | −0.177014 | − | 0.544792i | ||||
\(489\) | −5.15388 | + | 15.8620i | −0.233066 | + | 0.717305i | ||||
\(490\) | 5.82710 | 0.263241 | ||||||||
\(491\) | −1.79053 | −0.0808055 | −0.0404027 | − | 0.999183i | \(-0.512864\pi\) | ||||
−0.0404027 | + | 0.999183i | \(0.512864\pi\) | |||||||
\(492\) | −1.32519 | + | 4.07851i | −0.0597441 | + | 0.183873i | ||||
\(493\) | −1.12621 | − | 0.818243i | −0.0507221 | − | 0.0368518i | ||||
\(494\) | −5.44076 | + | 3.95294i | −0.244791 | + | 0.177851i | ||||
\(495\) | 0.501481 | 0.0225399 | ||||||||
\(496\) | 5.19236 | − | 2.00982i | 0.233144 | − | 0.0902435i | ||||
\(497\) | −35.0910 | −1.57405 | ||||||||
\(498\) | −14.2100 | + | 10.3241i | −0.636764 | + | 0.462636i | ||||
\(499\) | 4.16257 | + | 3.02429i | 0.186342 | + | 0.135386i | 0.677045 | − | 0.735941i | \(-0.263260\pi\) |
−0.490703 | + | 0.871327i | \(0.663260\pi\) | |||||||
\(500\) | −0.309017 | + | 0.951057i | −0.0138197 | + | 0.0425325i | ||||
\(501\) | −15.1979 | −0.678994 | ||||||||
\(502\) | −20.2133 | −0.902164 | ||||||||
\(503\) | −7.20924 | + | 22.1878i | −0.321444 | + | 0.989303i | 0.651576 | + | 0.758583i | \(0.274108\pi\) |
−0.973020 | + | 0.230720i | \(0.925892\pi\) | |||||||
\(504\) | −1.10674 | − | 3.40620i | −0.0492982 | − | 0.151724i | ||||
\(505\) | −0.0195095 | − | 0.0600442i | −0.000868163 | − | 0.00267193i | ||||
\(506\) | 2.71178 | − | 1.97022i | 0.120553 | − | 0.0875871i | ||||
\(507\) | −2.21287 | + | 6.81052i | −0.0982771 | + | 0.302466i | ||||
\(508\) | 14.0838 | − | 10.2325i | 0.624869 | − | 0.453994i | ||||
\(509\) | −24.9740 | − | 18.1447i | −1.10695 | − | 0.804249i | −0.124772 | − | 0.992185i | \(-0.539820\pi\) |
−0.982181 | + | 0.187937i | \(0.939820\pi\) | |||||||
\(510\) | −2.03130 | − | 6.25170i | −0.0899476 | − | 0.276830i | ||||
\(511\) | −13.8752 | − | 10.0810i | −0.613805 | − | 0.445955i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | 0.860033 | + | 2.64691i | 0.0379714 | + | 0.116864i | ||||
\(514\) | 0.136312 | + | 0.0990365i | 0.00601247 | + | 0.00436831i | ||||
\(515\) | −7.51456 | + | 5.45965i | −0.331131 | + | 0.240581i | ||||
\(516\) | 2.29518 | − | 7.06382i | 0.101039 | − | 0.310967i | ||||
\(517\) | 3.15666 | − | 2.29345i | 0.138830 | − | 0.100866i | ||||
\(518\) | 4.20933 | + | 12.9550i | 0.184947 | + | 0.569209i | ||||
\(519\) | −0.156921 | − | 0.482955i | −0.00688809 | − | 0.0211994i | ||||
\(520\) | −0.746709 | + | 2.29813i | −0.0327454 | + | 0.100780i | ||||
\(521\) | 31.7337 | 1.39028 | 0.695140 | − | 0.718874i | \(-0.255342\pi\) | ||||
0.695140 | + | 0.718874i | \(0.255342\pi\) | |||||||
\(522\) | 0.211773 | 0.00926907 | ||||||||
\(523\) | 5.41307 | − | 16.6597i | 0.236697 | − | 0.728478i | −0.760195 | − | 0.649695i | \(-0.774897\pi\) |
0.996892 | − | 0.0787831i | \(-0.0251035\pi\) | |||||||
\(524\) | −4.06414 | − | 2.95277i | −0.177543 | − | 0.128992i | ||||
\(525\) | −2.89749 | + | 2.10515i | −0.126457 | + | 0.0918762i | ||||
\(526\) | 6.79119 | 0.296110 | ||||||||
\(527\) | 35.3785 | + | 9.37383i | 1.54111 | + | 0.408330i | ||||
\(528\) | −0.501481 | −0.0218242 | ||||||||
\(529\) | −17.5371 | + | 12.7415i | −0.762483 | + | 0.553976i | ||||
\(530\) | −6.03133 | − | 4.38202i | −0.261984 | − | 0.190343i | ||||
\(531\) | 4.62482 | − | 14.2337i | 0.200700 | − | 0.617691i | ||||
\(532\) | 9.96775 | 0.432157 | ||||||||
\(533\) | 10.3625 | 0.448849 | ||||||||
\(534\) | 2.94628 | − | 9.06771i | 0.127498 | − | 0.392398i | ||||
\(535\) | −3.85569 | − | 11.8666i | −0.166696 | − | 0.513038i | ||||
\(536\) | −2.41342 | − | 7.42774i | −0.104244 | − | 0.320829i | ||||
\(537\) | −13.9316 | + | 10.1219i | −0.601193 | + | 0.436792i | ||||
\(538\) | 0.462221 | − | 1.42257i | 0.0199278 | − | 0.0613314i | ||||
\(539\) | 2.36409 | − | 1.71761i | 0.101829 | − | 0.0739829i | ||||
\(540\) | 0.809017 | + | 0.587785i | 0.0348145 | + | 0.0252942i | ||||
\(541\) | −3.54795 | − | 10.9195i | −0.152538 | − | 0.469464i | 0.845365 | − | 0.534189i | \(-0.179383\pi\) |
−0.997903 | + | 0.0647250i | \(0.979383\pi\) | |||||||
\(542\) | 5.51611 | + | 4.00769i | 0.236937 | + | 0.172145i | ||||
\(543\) | −7.87832 | − | 5.72394i | −0.338091 | − | 0.245638i | ||||
\(544\) | 2.03130 | + | 6.25170i | 0.0870914 | + | 0.268040i | ||||
\(545\) | 6.16630 | + | 4.48008i | 0.264135 | + | 0.191906i | ||||
\(546\) | −7.00150 | + | 5.08689i | −0.299636 | + | 0.217699i | ||||
\(547\) | −11.8171 | + | 36.3692i | −0.505261 | + | 1.55503i | 0.295071 | + | 0.955475i | \(0.404657\pi\) |
−0.800332 | + | 0.599557i | \(0.795343\pi\) | |||||||
\(548\) | 8.92710 | − | 6.48592i | 0.381347 | − | 0.277065i | ||||
\(549\) | 3.91036 | + | 12.0348i | 0.166890 | + | 0.513635i | ||||
\(550\) | 0.154966 | + | 0.476937i | 0.00660778 | + | 0.0203367i | ||||
\(551\) | −0.182132 | + | 0.560545i | −0.00775909 | + | 0.0238800i | ||||
\(552\) | 6.68409 | 0.284494 | ||||||||
\(553\) | −5.35193 | −0.227587 | ||||||||
\(554\) | −0.599284 | + | 1.84441i | −0.0254611 | + | 0.0783613i | ||||
\(555\) | −3.07698 | − | 2.23555i | −0.130610 | − | 0.0948940i | ||||
\(556\) | 9.21652 | − | 6.69619i | 0.390867 | − | 0.283982i | ||||
\(557\) | 22.4735 | 0.952233 | 0.476117 | − | 0.879382i | \(-0.342044\pi\) | ||||
0.476117 | + | 0.879382i | \(0.342044\pi\) | |||||||
\(558\) | −5.19236 | + | 2.00982i | −0.219810 | + | 0.0850824i | ||||
\(559\) | −17.9474 | −0.759096 | ||||||||
\(560\) | 2.89749 | − | 2.10515i | 0.122441 | − | 0.0889588i | ||||
\(561\) | −2.66689 | − | 1.93761i | −0.112596 | − | 0.0818058i | ||||
\(562\) | 2.41736 | − | 7.43988i | 0.101970 | − | 0.313833i | ||||
\(563\) | −1.22006 | −0.0514195 | −0.0257097 | − | 0.999669i | \(-0.508185\pi\) | ||||
−0.0257097 | + | 0.999669i | \(0.508185\pi\) | |||||||
\(564\) | 7.78065 | 0.327624 | ||||||||
\(565\) | 3.44650 | − | 10.6072i | 0.144995 | − | 0.446249i | ||||
\(566\) | −8.44314 | − | 25.9853i | −0.354892 | − | 1.09224i | ||||
\(567\) | 1.10674 | + | 3.40620i | 0.0464788 | + | 0.143047i | ||||
\(568\) | −7.92663 | + | 5.75904i | −0.332594 | + | 0.241644i | ||||
\(569\) | −6.49344 | + | 19.9848i | −0.272219 | + | 0.837805i | 0.717722 | + | 0.696329i | \(0.245185\pi\) |
−0.989942 | + | 0.141476i | \(0.954815\pi\) | |||||||
\(570\) | −2.25160 | + | 1.63588i | −0.0943090 | + | 0.0685195i | ||||
\(571\) | −6.80025 | − | 4.94067i | −0.284582 | − | 0.206761i | 0.436332 | − | 0.899786i | \(-0.356277\pi\) |
−0.720913 | + | 0.693025i | \(0.756277\pi\) | |||||||
\(572\) | 0.374461 | + | 1.15247i | 0.0156570 | + | 0.0481872i | ||||
\(573\) | −10.2338 | − | 7.43530i | −0.427524 | − | 0.310614i | ||||
\(574\) | −12.4256 | − | 9.02772i | −0.518634 | − | 0.376810i | ||||
\(575\) | −2.06550 | − | 6.35695i | −0.0861372 | − | 0.265103i | ||||
\(576\) | −0.809017 | − | 0.587785i | −0.0337090 | − | 0.0244911i | ||||
\(577\) | 2.41858 | − | 1.75720i | 0.100687 | − | 0.0731534i | −0.536303 | − | 0.844026i | \(-0.680179\pi\) |
0.636990 | + | 0.770872i | \(0.280179\pi\) | |||||||
\(578\) | −8.09933 | + | 24.9272i | −0.336888 | + | 1.03683i | ||||
\(579\) | −5.28293 | + | 3.83827i | −0.219551 | + | 0.159513i | ||||
\(580\) | 0.0654416 | + | 0.201408i | 0.00271731 | + | 0.00836303i | ||||
\(581\) | −19.4394 | − | 59.8282i | −0.806481 | − | 2.48209i | ||||
\(582\) | −3.57651 | + | 11.0074i | −0.148251 | + | 0.456270i | ||||
\(583\) | −3.73861 | −0.154837 | ||||||||
\(584\) | −4.78871 | −0.198158 | ||||||||
\(585\) | 0.746709 | − | 2.29813i | 0.0308726 | − | 0.0950162i | ||||
\(586\) | −3.87982 | − | 2.81886i | −0.160274 | − | 0.116446i | ||||
\(587\) | −9.88541 | + | 7.18217i | −0.408015 | + | 0.296440i | −0.772798 | − | 0.634653i | \(-0.781143\pi\) |
0.364783 | + | 0.931093i | \(0.381143\pi\) | |||||||
\(588\) | 5.82710 | 0.240306 | ||||||||
\(589\) | −0.854204 | − | 15.4722i | −0.0351968 | − | 0.637522i | ||||
\(590\) | 14.9662 | 0.616150 | ||||||||
\(591\) | 8.78556 | − | 6.38308i | 0.361390 | − | 0.262565i | ||||
\(592\) | 3.07698 | + | 2.23555i | 0.126463 | + | 0.0918807i | ||||
\(593\) | −4.99799 | + | 15.3822i | −0.205243 | + | 0.631673i | 0.794460 | + | 0.607316i | \(0.207754\pi\) |
−0.999703 | + | 0.0243568i | \(0.992246\pi\) | |||||||
\(594\) | 0.501481 | 0.0205760 | ||||||||
\(595\) | 23.5427 | 0.965157 | ||||||||
\(596\) | 4.07795 | − | 12.5506i | 0.167039 | − | 0.514094i | ||||
\(597\) | 5.12795 | + | 15.7822i | 0.209873 | + | 0.645923i | ||||
\(598\) | −4.99107 | − | 15.3609i | −0.204100 | − | 0.628155i | ||||
\(599\) | −0.180847 | + | 0.131393i | −0.00738919 | + | 0.00536856i | −0.591474 | − | 0.806324i | \(-0.701454\pi\) |
0.584085 | + | 0.811693i | \(0.301454\pi\) | |||||||
\(600\) | −0.309017 | + | 0.951057i | −0.0126156 | + | 0.0388267i | ||||
\(601\) | 35.9394 | − | 26.1115i | 1.46600 | − | 1.06511i | 0.484252 | − | 0.874929i | \(-0.339092\pi\) |
0.981749 | − | 0.190183i | \(-0.0609082\pi\) | |||||||
\(602\) | 21.5206 | + | 15.6357i | 0.877116 | + | 0.637262i | ||||
\(603\) | 2.41342 | + | 7.42774i | 0.0982820 | + | 0.302481i | ||||
\(604\) | 8.34636 | + | 6.06399i | 0.339609 | + | 0.246740i | ||||
\(605\) | −8.69573 | − | 6.31782i | −0.353532 | − | 0.256856i | ||||
\(606\) | −0.0195095 | − | 0.0600442i | −0.000792521 | − | 0.00243913i | ||||
\(607\) | −35.6866 | − | 25.9278i | −1.44848 | − | 1.05238i | −0.986185 | − | 0.165651i | \(-0.947028\pi\) |
−0.462291 | − | 0.886728i | \(-0.652972\pi\) | |||||||
\(608\) | 2.25160 | − | 1.63588i | 0.0913143 | − | 0.0663437i | ||||
\(609\) | −0.234379 | + | 0.721343i | −0.00949750 | + | 0.0292303i | ||||
\(610\) | −10.2374 | + | 7.43794i | −0.414502 | + | 0.301153i | ||||
\(611\) | −5.80988 | − | 17.8810i | −0.235043 | − | 0.723387i | ||||
\(612\) | −2.03130 | − | 6.25170i | −0.0821105 | − | 0.252710i | ||||
\(613\) | 1.32443 | − | 4.07618i | 0.0534932 | − | 0.164635i | −0.920741 | − | 0.390175i | \(-0.872415\pi\) |
0.974234 | + | 0.225540i | \(0.0724145\pi\) | |||||||
\(614\) | −0.781268 | −0.0315294 | ||||||||
\(615\) | 4.28840 | 0.172925 | ||||||||
\(616\) | 0.555011 | − | 1.70815i | 0.0223620 | − | 0.0688232i | ||||
\(617\) | −22.6209 | − | 16.4351i | −0.910684 | − | 0.661651i | 0.0305037 | − | 0.999535i | \(-0.490289\pi\) |
−0.941188 | + | 0.337884i | \(0.890289\pi\) | |||||||
\(618\) | −7.51456 | + | 5.45965i | −0.302280 | + | 0.219619i | ||||
\(619\) | 17.1064 | 0.687563 | 0.343781 | − | 0.939050i | \(-0.388292\pi\) | ||||
0.343781 | + | 0.939050i | \(0.388292\pi\) | |||||||
\(620\) | −3.51598 | − | 4.31716i | −0.141205 | − | 0.173381i | ||||
\(621\) | −6.68409 | −0.268223 | ||||||||
\(622\) | −18.2770 | + | 13.2790i | −0.732839 | + | 0.532439i | ||||
\(623\) | 27.6257 | + | 20.0712i | 1.10680 | + | 0.804138i | ||||
\(624\) | −0.746709 | + | 2.29813i | −0.0298923 | + | 0.0919990i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 6.19000 | 0.247402 | ||||||||
\(627\) | −0.431291 | + | 1.32738i | −0.0172241 | + | 0.0530103i | ||||
\(628\) | −1.68275 | − | 5.17898i | −0.0671491 | − | 0.206664i | ||||
\(629\) | 7.72575 | + | 23.7774i | 0.308046 | + | 0.948068i | ||||
\(630\) | −2.89749 | + | 2.10515i | −0.115439 | + | 0.0838712i | ||||
\(631\) | −0.126844 | + | 0.390387i | −0.00504959 | + | 0.0155410i | −0.953550 | − | 0.301236i | \(-0.902601\pi\) |
0.948500 | + | 0.316777i | \(0.102601\pi\) | |||||||
\(632\) | −1.20894 | + | 0.878345i | −0.0480890 | + | 0.0349387i | ||||
\(633\) | −18.6225 | − | 13.5300i | −0.740178 | − | 0.537771i | ||||
\(634\) | 4.11663 | + | 12.6697i | 0.163492 | + | 0.503178i | ||||
\(635\) | −14.0838 | − | 10.2325i | −0.558900 | − | 0.406065i | ||||
\(636\) | −6.03133 | − | 4.38202i | −0.239158 | − | 0.173758i | ||||
\(637\) | −4.35115 | − | 13.3915i | −0.172399 | − | 0.530589i | ||||
\(638\) | 0.0859179 | + | 0.0624230i | 0.00340152 | + | 0.00247135i | ||||
\(639\) | 7.92663 | − | 5.75904i | 0.313573 | − | 0.227824i | ||||
\(640\) | 0.309017 | − | 0.951057i | 0.0122150 | − | 0.0375938i | ||||
\(641\) | −19.5393 | + | 14.1962i | −0.771758 | + | 0.560715i | −0.902494 | − | 0.430702i | \(-0.858266\pi\) |
0.130736 | + | 0.991417i | \(0.458266\pi\) | |||||||
\(642\) | −3.85569 | − | 11.8666i | −0.152172 | − | 0.468337i | ||||
\(643\) | −7.24605 | − | 22.3010i | −0.285756 | − | 0.879467i | −0.986171 | − | 0.165731i | \(-0.947002\pi\) |
0.700415 | − | 0.713736i | \(-0.252998\pi\) | |||||||
\(644\) | −7.39757 | + | 22.7674i | −0.291505 | + | 0.897160i | ||||
\(645\) | −7.42734 | −0.292451 | ||||||||
\(646\) | 18.2947 | 0.719795 | ||||||||
\(647\) | 9.49945 | − | 29.2363i | 0.373462 | − | 1.14940i | −0.571048 | − | 0.820916i | \(-0.693463\pi\) |
0.944510 | − | 0.328482i | \(-0.106537\pi\) | |||||||
\(648\) | 0.809017 | + | 0.587785i | 0.0317812 | + | 0.0230904i | ||||
\(649\) | 6.07190 | − | 4.41149i | 0.238343 | − | 0.173166i | ||||
\(650\) | 2.41640 | 0.0947791 | ||||||||
\(651\) | −1.09924 | − | 19.9106i | −0.0430826 | − | 0.780358i | ||||
\(652\) | −16.6783 | −0.653172 | ||||||||
\(653\) | 30.6653 | − | 22.2797i | 1.20003 | − | 0.871871i | 0.205739 | − | 0.978607i | \(-0.434040\pi\) |
0.994287 | + | 0.106736i | \(0.0340401\pi\) | |||||||
\(654\) | 6.16630 | + | 4.48008i | 0.241122 | + | 0.175185i | ||||
\(655\) | −1.55236 | + | 4.77769i | −0.0606559 | + | 0.186680i | ||||
\(656\) | −4.28840 | −0.167434 | ||||||||
\(657\) | 4.78871 | 0.186825 | ||||||||
\(658\) | −8.61117 | + | 26.5025i | −0.335699 | + | 1.03317i | ||||
\(659\) | 6.64812 | + | 20.4608i | 0.258974 | + | 0.797040i | 0.993021 | + | 0.117941i | \(0.0376294\pi\) |
−0.734047 | + | 0.679099i | \(0.762371\pi\) | |||||||
\(660\) | 0.154966 | + | 0.476937i | 0.00603205 | + | 0.0185647i | ||||
\(661\) | 22.0672 | − | 16.0328i | 0.858315 | − | 0.623602i | −0.0691109 | − | 0.997609i | \(-0.522016\pi\) |
0.927426 | + | 0.374007i | \(0.122016\pi\) | |||||||
\(662\) | −7.39189 | + | 22.7499i | −0.287294 | + | 0.884200i | ||||
\(663\) | −12.8505 | + | 9.33641i | −0.499071 | + | 0.362596i | ||||
\(664\) | −14.2100 | − | 10.3241i | −0.551454 | − | 0.400655i | ||||
\(665\) | −3.08020 | − | 9.47989i | −0.119445 | − | 0.367614i | ||||
\(666\) | −3.07698 | − | 2.23555i | −0.119230 | − | 0.0866259i | ||||
\(667\) | −1.14517 | − | 0.832017i | −0.0443413 | − | 0.0322158i | ||||
\(668\) | −4.69642 | − | 14.4541i | −0.181710 | − | 0.559246i | ||||
\(669\) | −12.1397 | − | 8.81999i | −0.469347 | − | 0.341000i | ||||
\(670\) | −6.31841 | + | 4.59059i | −0.244101 | + | 0.177350i | ||||
\(671\) | −1.96097 | + | 6.03525i | −0.0757024 | + | 0.232988i | ||||
\(672\) | 2.89749 | − | 2.10515i | 0.111773 | − | 0.0812079i | ||||
\(673\) | −2.15326 | − | 6.62704i | −0.0830019 | − | 0.255454i | 0.900940 | − | 0.433944i | \(-0.142879\pi\) |
−0.983942 | + | 0.178491i | \(0.942879\pi\) | |||||||
\(674\) | −1.82352 | − | 5.61223i | −0.0702395 | − | 0.216175i | ||||
\(675\) | 0.309017 | − | 0.951057i | 0.0118941 | − | 0.0366062i | ||||
\(676\) | −7.16100 | −0.275423 | ||||||||
\(677\) | −29.1228 | −1.11928 | −0.559639 | − | 0.828736i | \(-0.689060\pi\) | ||||
−0.559639 | + | 0.828736i | \(0.689060\pi\) | |||||||
\(678\) | 3.44650 | − | 10.6072i | 0.132362 | − | 0.407368i | ||||
\(679\) | −33.5350 | − | 24.3646i | −1.28696 | − | 0.935028i | ||||
\(680\) | 5.31802 | − | 3.86377i | 0.203937 | − | 0.148169i | ||||
\(681\) | 5.04964 | 0.193503 | ||||||||
\(682\) | −2.69900 | − | 0.715121i | −0.103350 | − | 0.0273834i | ||||
\(683\) | 7.03621 | 0.269233 | 0.134616 | − | 0.990898i | \(-0.457020\pi\) | ||||
0.134616 | + | 0.990898i | \(0.457020\pi\) | |||||||
\(684\) | −2.25160 | + | 1.63588i | −0.0860919 | + | 0.0625495i | ||||
\(685\) | −8.92710 | − | 6.48592i | −0.341087 | − | 0.247814i | ||||
\(686\) | 1.29810 | − | 3.99514i | 0.0495617 | − | 0.152535i | ||||
\(687\) | 23.7647 | 0.906680 | ||||||||
\(688\) | 7.42734 | 0.283165 | ||||||||
\(689\) | −5.56682 | + | 17.1329i | −0.212079 | + | 0.652712i | ||||
\(690\) | −2.06550 | − | 6.35695i | −0.0786321 | − | 0.242005i | ||||
\(691\) | 14.0316 | + | 43.1849i | 0.533788 | + | 1.64283i | 0.746253 | + | 0.665662i | \(0.231851\pi\) |
−0.212465 | + | 0.977169i | \(0.568149\pi\) | |||||||
\(692\) | 0.410826 | − | 0.298482i | 0.0156172 | − | 0.0113466i | ||||
\(693\) | −0.555011 | + | 1.70815i | −0.0210831 | + | 0.0648871i | ||||
\(694\) | 18.6111 | − | 13.5217i | 0.706467 | − | 0.513278i | ||||
\(695\) | −9.21652 | − | 6.69619i | −0.349602 | − | 0.254001i | ||||
\(696\) | 0.0654416 | + | 0.201408i | 0.00248056 | + | 0.00763437i | ||||
\(697\) | −22.8058 | − | 16.5694i | −0.863830 | − | 0.627609i | ||||
\(698\) | −9.17169 | − | 6.66362i | −0.347154 | − | 0.252222i | ||||
\(699\) | 6.28718 | + | 19.3500i | 0.237803 | + | 0.731882i | ||||
\(700\) | −2.89749 | − | 2.10515i | −0.109515 | − | 0.0795672i | ||||
\(701\) | −42.6381 | + | 30.9784i | −1.61042 | + | 1.17004i | −0.748245 | + | 0.663423i | \(0.769103\pi\) |
−0.862173 | + | 0.506614i | \(0.830897\pi\) | |||||||
\(702\) | 0.746709 | − | 2.29813i | 0.0281827 | − | 0.0867375i | ||||
\(703\) | 8.56361 | − | 6.22183i | 0.322983 | − | 0.234661i | ||||
\(704\) | −0.154966 | − | 0.476937i | −0.00584051 | − | 0.0179752i | ||||
\(705\) | −2.40435 | − | 7.39984i | −0.0905532 | − | 0.278694i | ||||
\(706\) | −4.61147 | + | 14.1926i | −0.173555 | + | 0.534147i | ||||
\(707\) | 0.226115 | 0.00850392 | ||||||||
\(708\) | 14.9662 | 0.562465 | ||||||||
\(709\) | 1.38796 | − | 4.27169i | 0.0521258 | − | 0.160427i | −0.921605 | − | 0.388129i | \(-0.873121\pi\) |
0.973731 | + | 0.227703i | \(0.0731214\pi\) | |||||||
\(710\) | 7.92663 | + | 5.75904i | 0.297481 | + | 0.216133i | ||||
\(711\) | 1.20894 | − | 0.878345i | 0.0453387 | − | 0.0329405i | ||||
\(712\) | 9.53436 | 0.357315 | ||||||||
\(713\) | 35.9741 | + | 9.53163i | 1.34724 | + | 0.356962i | ||||
\(714\) | 23.5427 | 0.881064 | ||||||||
\(715\) | 0.980351 | − | 0.712266i | 0.0366630 | − | 0.0266373i | ||||
\(716\) | −13.9316 | − | 10.1219i | −0.520648 | − | 0.378273i | ||||
\(717\) | 3.31551 | − | 10.2041i | 0.123820 | − | 0.381079i | ||||
\(718\) | −36.6236 | −1.36678 | ||||||||
\(719\) | −4.70396 | −0.175428 | −0.0877140 | − | 0.996146i | \(-0.527956\pi\) | ||||
−0.0877140 | + | 0.996146i | \(0.527956\pi\) | |||||||
\(720\) | −0.309017 | + | 0.951057i | −0.0115164 | + | 0.0354438i | ||||
\(721\) | −10.2800 | − | 31.6385i | −0.382847 | − | 1.17828i | ||||
\(722\) | 3.47774 | + | 10.7034i | 0.129428 | + | 0.398339i | ||||
\(723\) | 14.7433 | − | 10.7116i | 0.548308 | − | 0.398369i | ||||
\(724\) | 3.00925 | − | 9.26152i | 0.111838 | − | 0.344202i | ||||
\(725\) | 0.171328 | − | 0.124477i | 0.00636297 | − | 0.00462297i | ||||
\(726\) | −8.69573 | − | 6.31782i | −0.322729 | − | 0.234476i | ||||
\(727\) | −4.50387 | − | 13.8615i | −0.167039 | − | 0.514095i | 0.832141 | − | 0.554564i | \(-0.187115\pi\) |
−0.999181 | + | 0.0404691i | \(0.987115\pi\) | |||||||
\(728\) | −7.00150 | − | 5.08689i | −0.259493 | − | 0.188533i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | 1.47979 | + | 4.55434i | 0.0547696 | + | 0.168564i | ||||
\(731\) | 39.4987 | + | 28.6975i | 1.46091 | + | 1.06142i | ||||
\(732\) | −10.2374 | + | 7.43794i | −0.378387 | + | 0.274914i | ||||
\(733\) | 6.49948 | − | 20.0033i | 0.240064 | − | 0.738841i | −0.756345 | − | 0.654173i | \(-0.773017\pi\) |
0.996409 | − | 0.0846680i | \(-0.0269830\pi\) | |||||||
\(734\) | −19.4639 | + | 14.1413i | −0.718424 | + | 0.521966i | ||||
\(735\) | −1.80067 | − | 5.54190i | −0.0664188 | − | 0.204416i | ||||
\(736\) | 2.06550 | + | 6.35695i | 0.0761352 | + | 0.234320i | ||||
\(737\) | −1.21028 | + | 3.72487i | −0.0445814 | + | 0.137207i | ||||
\(738\) | 4.28840 | 0.157858 | ||||||||
\(739\) | 37.1898 | 1.36805 | 0.684024 | − | 0.729460i | \(-0.260228\pi\) | ||||
0.684024 | + | 0.729460i | \(0.260228\pi\) | |||||||
\(740\) | 1.17530 | − | 3.61720i | 0.0432049 | − | 0.132971i | ||||
\(741\) | 5.44076 | + | 3.95294i | 0.199871 | + | 0.145215i | ||||
\(742\) | 21.6012 | − | 15.6942i | 0.793004 | − | 0.576151i | ||||
\(743\) | 45.8050 | 1.68042 | 0.840211 | − | 0.542259i | \(-0.182431\pi\) | ||||
0.840211 | + | 0.542259i | \(0.182431\pi\) | |||||||
\(744\) | −3.51598 | − | 4.31716i | −0.128902 | − | 0.158275i | ||||
\(745\) | −13.1965 | −0.483483 | ||||||||
\(746\) | −4.56019 | + | 3.31317i | −0.166960 | + | 0.121304i | ||||
\(747\) | 14.2100 | + | 10.3241i | 0.519916 | + | 0.377741i | ||||
\(748\) | 1.01866 | − | 3.13511i | 0.0372459 | − | 0.114631i | ||||
\(749\) | 44.6873 | 1.63284 | ||||||||
\(750\) | 1.00000 | 0.0365148 | ||||||||
\(751\) | 4.53687 | − | 13.9631i | 0.165553 | − | 0.509519i | −0.833524 | − | 0.552484i | \(-0.813680\pi\) |
0.999077 | + | 0.0429643i | \(0.0136802\pi\) | |||||||
\(752\) | 2.40435 | + | 7.39984i | 0.0876777 | + | 0.269844i | ||||
\(753\) | 6.24625 | + | 19.2240i | 0.227626 | + | 0.700561i | ||||
\(754\) | 0.413998 | − | 0.300787i | 0.0150769 | − | 0.0109540i | ||||
\(755\) | 3.18803 | − | 9.81174i | 0.116024 | − | 0.357086i | ||||
\(756\) | −2.89749 | + | 2.10515i | −0.105381 | + | 0.0765635i | ||||
\(757\) | −13.9752 | − | 10.1536i | −0.507936 | − | 0.369037i | 0.304104 | − | 0.952639i | \(-0.401643\pi\) |
−0.812040 | + | 0.583602i | \(0.801643\pi\) | |||||||
\(758\) | −7.80320 | − | 24.0158i | −0.283425 | − | 0.872292i | ||||
\(759\) | −2.71178 | − | 1.97022i | −0.0984314 | − | 0.0715146i | ||||
\(760\) | −2.25160 | − | 1.63588i | −0.0816740 | − | 0.0593396i | ||||
\(761\) | −6.35096 | − | 19.5462i | −0.230222 | − | 0.708551i | −0.997719 | − | 0.0674984i | \(-0.978498\pi\) |
0.767497 | − | 0.641052i | \(-0.221502\pi\) | |||||||
\(762\) | −14.0838 | − | 10.2325i | −0.510204 | − | 0.370685i | ||||
\(763\) | −22.0846 | + | 16.0454i | −0.799515 | + | 0.580882i | ||||
\(764\) | 3.90897 | − | 12.0306i | 0.141421 | − | 0.435251i | ||||
\(765\) | −5.31802 | + | 3.86377i | −0.192273 | + | 0.139695i | ||||
\(766\) | −4.71328 | − | 14.5060i | −0.170298 | − | 0.524122i | ||||
\(767\) | −11.1754 | − | 34.3944i | −0.403521 | − | 1.24191i | ||||
\(768\) | 0.309017 | − | 0.951057i | 0.0111507 | − | 0.0343183i | ||||
\(769\) | −30.8220 | −1.11147 | −0.555735 | − | 0.831359i | \(-0.687563\pi\) | ||||
−0.555735 | + | 0.831359i | \(0.687563\pi\) | |||||||
\(770\) | −1.79605 | −0.0647252 | ||||||||
\(771\) | 0.0520666 | − | 0.160244i | 0.00187513 | − | 0.00577106i | ||||
\(772\) | −5.28293 | − | 3.83827i | −0.190137 | − | 0.138142i | ||||
\(773\) | 6.77051 | − | 4.91906i | 0.243518 | − | 0.176926i | −0.459331 | − | 0.888265i | \(-0.651911\pi\) |
0.702849 | + | 0.711339i | \(0.251911\pi\) | |||||||
\(774\) | −7.42734 | −0.266970 | ||||||||
\(775\) | −3.01937 | + | 4.67797i | −0.108459 | + | 0.168038i | ||||
\(776\) | −11.5738 | −0.415476 | ||||||||
\(777\) | 11.0202 | − | 8.00662i | 0.395346 | − | 0.287236i | ||||
\(778\) | 11.4351 | + | 8.30810i | 0.409969 | + | 0.297860i | ||||
\(779\) | −3.68816 | + | 11.3510i | −0.132142 | + | 0.406692i | ||||
\(780\) | 2.41640 | 0.0865211 | ||||||||
\(781\) | 4.91344 | 0.175817 | ||||||||
\(782\) | −13.5774 | + | 41.7870i | −0.485527 | + | 1.49430i | ||||
\(783\) | −0.0654416 | − | 0.201408i | −0.00233869 | − | 0.00719775i | ||||
\(784\) | 1.80067 | + | 5.54190i | 0.0643097 | + | 0.197925i | ||||
\(785\) | −4.40550 | + | 3.20078i | −0.157239 | + | 0.114241i | ||||
\(786\) | −1.55236 | + | 4.77769i | −0.0553710 | + | 0.170414i | ||||
\(787\) | −2.23099 | + | 1.62091i | −0.0795264 | + | 0.0577793i | −0.626838 | − | 0.779150i | \(-0.715651\pi\) |
0.547312 | + | 0.836929i | \(0.315651\pi\) | |||||||
\(788\) | 8.78556 | + | 6.38308i | 0.312973 | + | 0.227388i | ||||
\(789\) | −2.09859 | − | 6.45880i | −0.0747119 | − | 0.229940i | ||||
\(790\) | 1.20894 | + | 0.878345i | 0.0430121 | + | 0.0312501i | ||||
\(791\) | 32.3160 | + | 23.4789i | 1.14902 | + | 0.834815i | ||||
\(792\) | 0.154966 | + | 0.476937i | 0.00550649 | + | 0.0169472i | ||||
\(793\) | 24.7378 | + | 17.9731i | 0.878465 | + | 0.638242i | ||||
\(794\) | 7.42539 | − | 5.39486i | 0.263517 | − | 0.191456i | ||||
\(795\) | −2.30376 | + | 7.09026i | −0.0817061 | + | 0.251466i | ||||
\(796\) | −13.4251 | + | 9.75394i | −0.475842 | + | 0.345719i | ||||
\(797\) | 14.9843 | + | 46.1170i | 0.530772 | + | 1.63355i | 0.752611 | + | 0.658465i | \(0.228794\pi\) |
−0.221839 | + | 0.975083i | \(0.571206\pi\) | |||||||
\(798\) | −3.08020 | − | 9.47989i | −0.109038 | − | 0.335585i | ||||
\(799\) | −15.8048 | + | 48.6423i | −0.559135 | + | 1.72084i | ||||
\(800\) | −1.00000 | −0.0353553 | ||||||||
\(801\) | −9.53436 | −0.336880 | ||||||||
\(802\) | 7.67455 | − | 23.6198i | 0.270998 | − | 0.834046i | ||||
\(803\) | 1.94281 | + | 1.41154i | 0.0685604 | + | 0.0498120i | ||||
\(804\) | −6.31841 | + | 4.59059i | −0.222833 | + | 0.161898i | ||||
\(805\) | 23.9390 | 0.843740 | ||||||||
\(806\) | −7.29601 | + | 11.3039i | −0.256991 | + | 0.398161i | ||||
\(807\) | −1.49578 | −0.0526539 | ||||||||
\(808\) | 0.0510766 | − | 0.0371093i | 0.00179687 | − | 0.00130550i | ||||
\(809\) | 24.3594 | + | 17.6982i | 0.856432 | + | 0.622234i | 0.926912 | − | 0.375279i | \(-0.122453\pi\) |
−0.0704799 | + | 0.997513i | \(0.522453\pi\) | |||||||
\(810\) | 0.309017 | − | 0.951057i | 0.0108578 | − | 0.0334167i | ||||
\(811\) | 31.2192 | 1.09625 | 0.548127 | − | 0.836395i | \(-0.315341\pi\) | ||||
0.548127 | + | 0.836395i | \(0.315341\pi\) | |||||||
\(812\) | −0.758465 | −0.0266169 | ||||||||
\(813\) | 2.10697 | − | 6.48457i | 0.0738945 | − | 0.227424i | ||||
\(814\) | −0.589391 | − | 1.81396i | −0.0206581 | − | 0.0635792i | ||||
\(815\) | 5.15388 | + | 15.8620i | 0.180532 | + | 0.555622i | ||||
\(816\) | 5.31802 | − | 3.86377i | 0.186168 | − | 0.135259i | ||||
\(817\) | 6.38776 | − | 19.6595i | 0.223480 | − | 0.687799i | ||||
\(818\) | 12.4266 | − | 9.02845i | 0.434486 | − | 0.315672i | ||||
\(819\) | 7.00150 | + | 5.08689i | 0.244652 | + | 0.177750i | ||||
\(820\) | 1.32519 | + | 4.07851i | 0.0462776 | + | 0.142428i | ||||
\(821\) | 18.3679 | + | 13.3450i | 0.641043 | + | 0.465745i | 0.860208 | − | 0.509943i | \(-0.170333\pi\) |
−0.219166 | + | 0.975688i | \(0.570333\pi\) | |||||||
\(822\) | −8.92710 | − | 6.48592i | −0.311368 | − | 0.226222i | ||||
\(823\) | 5.80739 | + | 17.8733i | 0.202433 | + | 0.623024i | 0.999809 | + | 0.0195418i | \(0.00622074\pi\) |
−0.797376 | + | 0.603483i | \(0.793779\pi\) | |||||||
\(824\) | −7.51456 | − | 5.45965i | −0.261782 | − | 0.190196i | ||||
\(825\) | 0.405707 | − | 0.294763i | 0.0141249 | − | 0.0102623i | ||||
\(826\) | −16.5638 | + | 50.9780i | −0.576327 | + | 1.77375i | ||||
\(827\) | −42.5453 | + | 30.9110i | −1.47945 | + | 1.07488i | −0.501711 | + | 0.865035i | \(0.667296\pi\) |
−0.977735 | + | 0.209845i | \(0.932704\pi\) | |||||||
\(828\) | −2.06550 | − | 6.35695i | −0.0717810 | − | 0.220919i | ||||
\(829\) | 5.99080 | + | 18.4378i | 0.208069 | + | 0.640371i | 0.999573 | + | 0.0292074i | \(0.00929832\pi\) |
−0.791504 | + | 0.611164i | \(0.790702\pi\) | |||||||
\(830\) | −5.42772 | + | 16.7048i | −0.188399 | + | 0.579833i | ||||
\(831\) | 1.93932 | 0.0672744 | ||||||||
\(832\) | −2.41640 | −0.0837737 | ||||||||
\(833\) | −11.8366 | + | 36.4293i | −0.410114 | + | 1.26220i | ||||
\(834\) | −9.21652 | − | 6.69619i | −0.319142 | − | 0.231870i | ||||
\(835\) | −12.2954 | + | 8.93313i | −0.425500 | + | 0.309144i | ||||
\(836\) | −1.39569 | −0.0482708 | ||||||||
\(837\) | 3.51598 | + | 4.31716i | 0.121530 | + | 0.149223i | ||||
\(838\) | 19.9317 | 0.688529 | ||||||||
\(839\) | 2.48106 | − | 1.80260i | 0.0856558 | − | 0.0622326i | −0.544133 | − | 0.838999i | \(-0.683141\pi\) |
0.629789 | + | 0.776766i | \(0.283141\pi\) | |||||||
\(840\) | −2.89749 | − | 2.10515i | −0.0999729 | − | 0.0726346i | ||||
\(841\) | −8.94763 | + | 27.5380i | −0.308539 | + | 0.949586i | ||||
\(842\) | 15.0998 | 0.520374 | ||||||||
\(843\) | −7.82276 | −0.269430 | ||||||||
\(844\) | 7.11316 | − | 21.8921i | 0.244845 | − | 0.753556i | ||||
\(845\) | 2.21287 | + | 6.81052i | 0.0761251 | + | 0.234289i | ||||
\(846\) | −2.40435 | − | 7.39984i | −0.0826633 | − | 0.254412i | ||||
\(847\) | 31.1437 | − | 22.6272i | 1.07011 | − | 0.777481i | ||||
\(848\) | 2.30376 | − | 7.09026i | 0.0791116 | − | 0.243480i | ||||
\(849\) | −22.1044 | + | 16.0598i | −0.758622 | + | 0.551171i | ||||
\(850\) | −5.31802 | − | 3.86377i | −0.182406 | − | 0.132526i | ||||
\(851\) | 7.85581 | + | 24.1777i | 0.269294 | + | 0.828801i | ||||
\(852\) | 7.92663 | + | 5.75904i | 0.271562 | + | 0.197301i | ||||
\(853\) | 14.9782 | + | 10.8823i | 0.512845 | + | 0.372604i | 0.813902 | − | 0.581003i | \(-0.197339\pi\) |
−0.301057 | + | 0.953606i | \(0.597339\pi\) | |||||||
\(854\) | −14.0049 | − | 43.1027i | −0.479239 | − | 1.47494i | ||||
\(855\) | 2.25160 | + | 1.63588i | 0.0770030 | + | 0.0559459i | ||||
\(856\) | 10.0943 | − | 7.33396i | 0.345017 | − | 0.250669i | ||||
\(857\) | 0.865477 | − | 2.66367i | 0.0295641 | − | 0.0909891i | −0.935186 | − | 0.354158i | \(-0.884768\pi\) |
0.964750 | + | 0.263169i | \(0.0847676\pi\) | |||||||
\(858\) | 0.980351 | − | 0.712266i | 0.0334686 | − | 0.0243164i | ||||
\(859\) | −5.19204 | − | 15.9794i | −0.177150 | − | 0.545212i | 0.822575 | − | 0.568657i | \(-0.192537\pi\) |
−0.999725 | + | 0.0234447i | \(0.992537\pi\) | |||||||
\(860\) | −2.29518 | − | 7.06382i | −0.0782648 | − | 0.240874i | ||||
\(861\) | −4.74615 | + | 14.6072i | −0.161748 | + | 0.497810i | ||||
\(862\) | −24.0220 | −0.818192 | ||||||||
\(863\) | 16.0397 | 0.545997 | 0.272999 | − | 0.962014i | \(-0.411985\pi\) | ||||
0.272999 | + | 0.962014i | \(0.411985\pi\) | |||||||
\(864\) | −0.309017 | + | 0.951057i | −0.0105130 | + | 0.0323556i | ||||
\(865\) | −0.410826 | − | 0.298482i | −0.0139685 | − | 0.0101487i | ||||
\(866\) | 13.4170 | − | 9.74801i | 0.455927 | − | 0.331251i | ||||
\(867\) | 26.2100 | 0.890138 | ||||||||
\(868\) | 18.5964 | − | 7.19815i | 0.631203 | − | 0.244321i | ||||
\(869\) | 0.749378 | 0.0254209 | ||||||||
\(870\) | 0.171328 | − | 0.124477i | 0.00580857 | − | 0.00422017i | ||||
\(871\) | 15.2678 | + | 11.0927i | 0.517330 | + | 0.375862i | ||||
\(872\) | −2.35532 | + | 7.24892i | −0.0797611 | + | 0.245480i | ||||
\(873\) | 11.5738 | 0.391714 | ||||||||
\(874\) | 18.6027 | 0.629245 | ||||||||
\(875\) | −1.10674 | + | 3.40620i | −0.0374147 | + | 0.115151i | ||||
\(876\) | 1.47979 | + | 4.55434i | 0.0499976 | + | 0.153877i | ||||
\(877\) | 13.9503 | + | 42.9346i | 0.471068 | + | 1.44980i | 0.851187 | + | 0.524862i | \(0.175883\pi\) |
−0.380119 | + | 0.924938i | \(0.624117\pi\) | |||||||
\(878\) | −20.3070 | + | 14.7539i | −0.685329 | + | 0.497920i | ||||
\(879\) | −1.48196 | + | 4.56101i | −0.0499853 | + | 0.153839i | ||||
\(880\) | −0.405707 | + | 0.294763i | −0.0136764 | + | 0.00993647i | ||||
\(881\) | 11.6324 | + | 8.45143i | 0.391905 | + | 0.284736i | 0.766236 | − | 0.642560i | \(-0.222127\pi\) |
−0.374331 | + | 0.927295i | \(0.622127\pi\) | |||||||
\(882\) | −1.80067 | − | 5.54190i | −0.0606318 | − | 0.186605i | ||||
\(883\) | −7.17516 | − | 5.21306i | −0.241463 | − | 0.175433i | 0.460472 | − | 0.887674i | \(-0.347680\pi\) |
−0.701935 | + | 0.712241i | \(0.747680\pi\) | |||||||
\(884\) | −12.8505 | − | 9.33641i | −0.432208 | − | 0.314017i | ||||
\(885\) | −4.62482 | − | 14.2337i | −0.155461 | − | 0.478461i | ||||
\(886\) | 13.2839 | + | 9.65134i | 0.446282 | + | 0.324243i | ||||
\(887\) | 29.1932 | − | 21.2101i | 0.980212 | − | 0.712166i | 0.0224561 | − | 0.999748i | \(-0.492851\pi\) |
0.957756 | + | 0.287582i | \(0.0928514\pi\) | |||||||
\(888\) | 1.17530 | − | 3.61720i | 0.0394405 | − | 0.121385i | ||||
\(889\) | 50.4412 | − | 36.6477i | 1.69174 | − | 1.22912i | ||||
\(890\) | −2.94628 | − | 9.06771i | −0.0987595 | − | 0.303950i | ||||
\(891\) | −0.154966 | − | 0.476937i | −0.00519156 | − | 0.0159780i | ||||
\(892\) | 4.63694 | − | 14.2710i | 0.155256 | − | 0.477830i | ||||
\(893\) | 21.6545 | 0.724641 | ||||||||
\(894\) | −13.1965 | −0.441357 | ||||||||
\(895\) | −5.32140 | + | 16.3776i | −0.177875 | + | 0.547442i | ||||
\(896\) | 2.89749 | + | 2.10515i | 0.0967983 | + | 0.0703281i | ||||
\(897\) | −13.0668 | + | 9.49358i | −0.436288 | + | 0.316981i | ||||
\(898\) | 38.7609 | 1.29347 | ||||||||
\(899\) | 0.0649980 | + | 1.17731i | 0.00216780 | + | 0.0392655i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | 39.6466 | − | 28.8049i | 1.32082 | − | 0.959631i | ||||
\(902\) | 1.73983 | + | 1.26406i | 0.0579301 | + | 0.0420887i | ||||
\(903\) | 8.22016 | − | 25.2990i | 0.273550 | − | 0.841899i | ||||
\(904\) | 11.1531 | 0.370946 | ||||||||
\(905\) | −9.73814 | −0.323707 | ||||||||
\(906\) | 3.18803 | − | 9.81174i | 0.105915 | − | 0.325973i | ||||
\(907\) | −14.2263 | − | 43.7841i | −0.472377 | − | 1.45383i | −0.849463 | − | 0.527649i | \(-0.823074\pi\) |
0.377086 | − | 0.926178i | \(-0.376926\pi\) | |||||||
\(908\) | 1.56043 | + | 4.80250i | 0.0517845 | + | 0.159376i | ||||
\(909\) | −0.0510766 | + | 0.0371093i | −0.00169410 | + | 0.00123084i | ||||
\(910\) | −2.67433 | + | 8.23076i | −0.0886533 | + | 0.272847i | ||||
\(911\) | −33.7454 | + | 24.5175i | −1.11803 | + | 0.812300i | −0.983910 | − | 0.178665i | \(-0.942822\pi\) |
−0.134125 | + | 0.990964i | \(0.542822\pi\) | |||||||
\(912\) | −2.25160 | − | 1.63588i | −0.0745578 | − | 0.0541694i | ||||
\(913\) | 2.72190 | + | 8.37715i | 0.0900818 | + | 0.277243i | ||||
\(914\) | 15.3846 | + | 11.1776i | 0.508878 | + | 0.369722i | ||||
\(915\) | 10.2374 | + | 7.43794i | 0.338440 | + | 0.245891i | ||||
\(916\) | 7.34370 | + | 22.6016i | 0.242643 | + | 0.746777i | ||||
\(917\) | −14.5557 | − | 10.5753i | −0.480672 | − | 0.349228i | ||||
\(918\) | −5.31802 | + | 3.86377i | −0.175521 | + | 0.127523i | ||||
\(919\) | 1.31627 | − | 4.05107i | 0.0434199 | − | 0.133633i | −0.926997 | − | 0.375070i | \(-0.877619\pi\) |
0.970416 | + | 0.241437i | \(0.0776188\pi\) | |||||||
\(920\) | 5.40754 | − | 3.92881i | 0.178281 | − | 0.129529i | ||||
\(921\) | 0.241425 | + | 0.743030i | 0.00795523 | + | 0.0244837i | ||||
\(922\) | −2.80338 | − | 8.62791i | −0.0923243 | − | 0.284145i | ||||
\(923\) | 7.31615 | − | 22.5168i | 0.240814 | − | 0.741149i | ||||
\(924\) | −1.79605 | −0.0590858 | ||||||||
\(925\) | −3.80335 | −0.125053 | ||||||||
\(926\) | −8.31752 | + | 25.5987i | −0.273331 | + | 0.841225i | ||||
\(927\) | 7.51456 | + | 5.45965i | 0.246810 | + | 0.179318i | ||||
\(928\) | −0.171328 | + | 0.124477i | −0.00562413 | + | 0.00408617i | ||||
\(929\) | 51.0582 | 1.67517 | 0.837583 | − | 0.546309i | \(-0.183968\pi\) | ||||
0.837583 | + | 0.546309i | \(0.183968\pi\) | |||||||
\(930\) | −3.01937 | + | 4.67797i | −0.0990090 | + | 0.153397i | ||||
\(931\) | 16.2176 | 0.531509 | ||||||||
\(932\) | −16.4601 | + | 11.9589i | −0.539167 | + | 0.391728i | ||||
\(933\) | 18.2770 | + | 13.2790i | 0.598361 | + | 0.434735i | ||||
\(934\) | −8.72546 | + | 26.8542i | −0.285506 | + | 0.878697i | ||||
\(935\) | −3.29645 | −0.107806 | ||||||||
\(936\) | 2.41640 | 0.0789826 | ||||||||
\(937\) | 13.8757 | − | 42.7049i | 0.453298 | − | 1.39511i | −0.419824 | − | 0.907606i | \(-0.637908\pi\) |
0.873122 | − | 0.487502i | \(-0.162092\pi\) | |||||||
\(938\) | −8.64364 | − | 26.6024i | −0.282225 | − | 0.868599i | ||||
\(939\) | −1.91281 | − | 5.88704i | −0.0624223 | − | 0.192116i | ||||
\(940\) | 6.29468 | − | 4.57335i | 0.205310 | − | 0.149166i | ||||
\(941\) | −1.85877 | + | 5.72069i | −0.0605940 | + | 0.186489i | −0.976771 | − | 0.214284i | \(-0.931258\pi\) |
0.916177 | + | 0.400773i | \(0.131258\pi\) | |||||||
\(942\) | −4.40550 | + | 3.20078i | −0.143539 | + | 0.104287i | ||||
\(943\) | −23.1897 | − | 16.8483i | −0.755160 | − | 0.548656i | ||||
\(944\) | 4.62482 | + | 14.2337i | 0.150525 | + | 0.463268i | ||||
\(945\) | 2.89749 | + | 2.10515i | 0.0942553 | + | 0.0684805i | ||||
\(946\) | −3.01332 | − | 2.18931i | −0.0979716 | − | 0.0711805i | ||||
\(947\) | −6.73160 | − | 20.7177i | −0.218747 | − | 0.673235i | −0.998866 | − | 0.0476041i | \(-0.984841\pi\) |
0.780119 | − | 0.625631i | \(-0.215159\pi\) | |||||||
\(948\) | 1.20894 | + | 0.878345i | 0.0392645 | + | 0.0285273i | ||||
\(949\) | 9.36150 | − | 6.80153i | 0.303887 | − | 0.220787i | ||||
\(950\) | −0.860033 | + | 2.64691i | −0.0279032 | + | 0.0858771i | ||||
\(951\) | 10.7775 | − | 7.83031i | 0.349484 | − | 0.253915i | ||||
\(952\) | 7.27510 | + | 22.3904i | 0.235787 | + | 0.725678i | ||||
\(953\) | 10.9837 | + | 33.8042i | 0.355796 | + | 1.09503i | 0.955547 | + | 0.294840i | \(0.0952663\pi\) |
−0.599751 | + | 0.800187i | \(0.704734\pi\) | |||||||
\(954\) | −2.30376 | + | 7.09026i | −0.0745871 | + | 0.229556i | ||||
\(955\) | −12.6497 | −0.409334 | ||||||||
\(956\) | 10.7292 | 0.347008 | ||||||||
\(957\) | 0.0328177 | − | 0.101003i | 0.00106085 | − | 0.00326495i | ||||
\(958\) | 3.29181 | + | 2.39164i | 0.106353 | + | 0.0772703i | ||||
\(959\) | 31.9723 | − | 23.2293i | 1.03244 | − | 0.750112i | ||||
\(960\) | −1.00000 | −0.0322749 | ||||||||
\(961\) | −12.7668 | − | 28.2490i | −0.411833 | − | 0.911259i | ||||
\(962\) | −9.19042 | −0.296311 | ||||||||
\(963\) | −10.0943 | + | 7.33396i | −0.325285 | + | 0.236333i | ||||
\(964\) | 14.7433 | + | 10.7116i | 0.474849 | + | 0.344998i | ||||
\(965\) | −2.01790 | + | 6.21046i | −0.0649585 | + | 0.199922i | ||||
\(966\) | 23.9390 | 0.770226 | ||||||||
\(967\) | −6.77776 | −0.217958 | −0.108979 | − | 0.994044i | \(-0.534758\pi\) | ||||
−0.108979 | + | 0.994044i | \(0.534758\pi\) | |||||||
\(968\) | 3.32147 | − | 10.2224i | 0.106756 | − | 0.328562i | ||||
\(969\) | −5.65337 | − | 17.3993i | −0.181612 | − | 0.558945i | ||||
\(970\) | 3.57651 | + | 11.0074i | 0.114835 | + | 0.353425i | ||||
\(971\) | −10.0673 | + | 7.31430i | −0.323074 | + | 0.234727i | −0.737486 | − | 0.675362i | \(-0.763987\pi\) |
0.414412 | + | 0.910089i | \(0.363987\pi\) | |||||||
\(972\) | 0.309017 | − | 0.951057i | 0.00991172 | − | 0.0305052i | ||||
\(973\) | 33.0089 | − | 23.9824i | 1.05822 | − | 0.768840i | ||||
\(974\) | 2.31231 | + | 1.68000i | 0.0740914 | + | 0.0538305i | ||||
\(975\) | −0.746709 | − | 2.29813i | −0.0239138 | − | 0.0735992i | ||||
\(976\) | −10.2374 | − | 7.43794i | −0.327693 | − | 0.238083i | ||||
\(977\) | −14.9279 | − | 10.8458i | −0.477586 | − | 0.346986i | 0.322805 | − | 0.946466i | \(-0.395374\pi\) |
−0.800390 | + | 0.599479i | \(0.795374\pi\) | |||||||
\(978\) | 5.15388 | + | 15.8620i | 0.164803 | + | 0.507211i | ||||
\(979\) | −3.86815 | − | 2.81038i | −0.123627 | − | 0.0898201i | ||||
\(980\) | 4.71422 | − | 3.42508i | 0.150590 | − | 0.109410i | ||||
\(981\) | 2.35532 | − | 7.24892i | 0.0751995 | − | 0.231440i | ||||
\(982\) | −1.44857 | + | 1.05245i | −0.0462257 | + | 0.0335849i | ||||
\(983\) | −16.3467 | − | 50.3100i | −0.521379 | − | 1.60464i | −0.771366 | − | 0.636391i | \(-0.780426\pi\) |
0.249987 | − | 0.968249i | \(-0.419574\pi\) | |||||||
\(984\) | 1.32519 | + | 4.07851i | 0.0422454 | + | 0.130018i | ||||
\(985\) | 3.35579 | − | 10.3280i | 0.106924 | − | 0.329079i | ||||
\(986\) | −1.39208 | −0.0443328 | ||||||||
\(987\) | 27.8663 | 0.886996 | ||||||||
\(988\) | −2.07819 | + | 6.39600i | −0.0661159 | + | 0.203484i | ||||
\(989\) | 40.1637 | + | 29.1806i | 1.27713 | + | 0.927890i | ||||
\(990\) | 0.405707 | − | 0.294763i | 0.0128942 | − | 0.00936819i | ||||
\(991\) | 41.6480 | 1.32299 | 0.661496 | − | 0.749949i | \(-0.269922\pi\) | ||||
0.661496 | + | 0.749949i | \(0.269922\pi\) | |||||||
\(992\) | 3.01937 | − | 4.67797i | 0.0958650 | − | 0.148526i | ||||
\(993\) | 23.9207 | 0.759099 | ||||||||
\(994\) | −28.3892 | + | 20.6260i | −0.900450 | + | 0.654216i | ||||
\(995\) | 13.4251 | + | 9.75394i | 0.425606 | + | 0.309221i | ||||
\(996\) | −5.42772 | + | 16.7048i | −0.171984 | + | 0.529312i | ||||
\(997\) | −54.4417 | −1.72419 | −0.862093 | − | 0.506750i | \(-0.830847\pi\) | ||||
−0.862093 | + | 0.506750i | \(0.830847\pi\) | |||||||
\(998\) | 5.14522 | 0.162869 | ||||||||
\(999\) | −1.17530 | + | 3.61720i | −0.0371848 | + | 0.114443i |
(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 | 930.2.n.h.481.4 | ✓ | 16 | |
31.2 | even | 5 | inner | 930.2.n.h.901.4 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.n.h.481.4 | ✓ | 16 | 1.1 | even | 1 | trivial | |
930.2.n.h.901.4 | yes | 16 | 31.2 | even | 5 | inner |