Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(9,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.j (of order \(10\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | 16.0.343361479062744140625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} + 3 x^{14} - 8 x^{13} + 8 x^{12} + 7 x^{11} + 6 x^{10} + 56 x^{9} - 137 x^{8} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 124.4 | ||
Root | \(-1.70149 + 0.323920i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 605.124 |
Dual form | 605.2.j.i.444.4 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.48377 | + | 2.04223i | 1.04918 | + | 1.44408i | 0.889515 | + | 0.456905i | \(0.151042\pi\) |
0.159667 | + | 0.987171i | \(0.448958\pi\) | |||||||
\(3\) | −0.753510 | + | 0.244830i | −0.435039 | + | 0.141353i | −0.518346 | − | 0.855171i | \(-0.673452\pi\) |
0.0833066 | + | 0.996524i | \(0.473452\pi\) | |||||||
\(4\) | −1.35111 | + | 4.15829i | −0.675555 | + | 2.07914i | ||||
\(5\) | −1.80602 | + | 1.31844i | −0.807677 | + | 0.589625i | ||||
\(6\) | −1.61803 | − | 1.17557i | −0.660560 | − | 0.479925i | ||||
\(7\) | 3.29456 | + | 1.07047i | 1.24523 | + | 0.404598i | 0.856208 | − | 0.516632i | \(-0.172814\pi\) |
0.389018 | + | 0.921230i | \(0.372814\pi\) | |||||||
\(8\) | −5.69534 | + | 1.85053i | −2.01361 | + | 0.654261i | ||||
\(9\) | −1.91922 | + | 1.39439i | −0.639739 | + | 0.464797i | ||||
\(10\) | −5.37228 | − | 1.73205i | −1.69886 | − | 0.547723i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | − | 3.46410i | − | 1.00000i | ||||||
\(13\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(14\) | 2.70222 | + | 8.31657i | 0.722198 | + | 2.22270i | ||||
\(15\) | 1.03806 | − | 1.43563i | 0.268026 | − | 0.370677i | ||||
\(16\) | −5.15528 | − | 3.74553i | −1.28882 | − | 0.936383i | ||||
\(17\) | 0.931389 | − | 1.28195i | 0.225895 | − | 0.310918i | −0.680993 | − | 0.732290i | \(-0.738451\pi\) |
0.906888 | + | 0.421372i | \(0.138451\pi\) | |||||||
\(18\) | −5.69534 | − | 1.85053i | −1.34241 | − | 0.436174i | ||||
\(19\) | −1.23607 | − | 3.80423i | −0.283573 | − | 0.872749i | −0.986823 | − | 0.161806i | \(-0.948268\pi\) |
0.703249 | − | 0.710943i | \(-0.251732\pi\) | |||||||
\(20\) | −3.04233 | − | 9.29131i | −0.680285 | − | 2.07760i | ||||
\(21\) | −2.74456 | −0.598913 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − | 0.792287i | − | 0.165203i | −0.996583 | − | 0.0826016i | \(-0.973677\pi\) | ||
0.996583 | − | 0.0826016i | \(-0.0263229\pi\) | |||||||
\(24\) | 3.83843 | − | 2.78878i | 0.783517 | − | 0.569258i | ||||
\(25\) | 1.52342 | − | 4.76227i | 0.304684 | − | 0.952453i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.50184 | − | 3.44349i | 0.481480 | − | 0.662700i | ||||
\(28\) | −8.90261 | + | 12.2534i | −1.68244 | + | 2.31567i | ||||
\(29\) | −2.70222 | + | 8.31657i | −0.501789 | + | 1.54435i | 0.304313 | + | 0.952572i | \(0.401573\pi\) |
−0.806102 | + | 0.591777i | \(0.798427\pi\) | |||||||
\(30\) | 4.47212 | − | 0.0101793i | 0.816494 | − | 0.00185848i | ||||
\(31\) | −2.72823 | + | 1.98218i | −0.490005 | + | 0.356010i | −0.805186 | − | 0.593022i | \(-0.797935\pi\) |
0.315181 | + | 0.949032i | \(0.397935\pi\) | |||||||
\(32\) | − | 4.10891i | − | 0.726360i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.00000 | 0.685994 | ||||||||
\(35\) | −7.36138 | + | 2.41040i | −1.24430 | + | 0.407432i | ||||
\(36\) | −3.20521 | − | 9.86463i | −0.534202 | − | 1.64410i | ||||
\(37\) | −1.03403 | − | 0.335976i | −0.169993 | − | 0.0552341i | 0.222784 | − | 0.974868i | \(-0.428486\pi\) |
−0.392777 | + | 0.919634i | \(0.628486\pi\) | |||||||
\(38\) | 5.93507 | − | 8.16893i | 0.962796 | − | 1.32518i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 7.84609 | − | 10.8511i | 1.24058 | − | 1.71571i | ||||
\(41\) | 2.70222 | + | 8.31657i | 0.422016 | + | 1.29883i | 0.905823 | + | 0.423656i | \(0.139253\pi\) |
−0.483807 | + | 0.875174i | \(0.660747\pi\) | |||||||
\(42\) | −4.07230 | − | 5.60503i | −0.628369 | − | 0.864876i | ||||
\(43\) | − | 3.46410i | − | 0.528271i | −0.964486 | − | 0.264135i | \(-0.914913\pi\) | ||
0.964486 | − | 0.264135i | \(-0.0850865\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.62772 | − | 5.04868i | 0.242646 | − | 0.752612i | ||||
\(46\) | 1.61803 | − | 1.17557i | 0.238566 | − | 0.173328i | ||||
\(47\) | 6.30860 | − | 2.04979i | 0.920203 | − | 0.298992i | 0.189653 | − | 0.981851i | \(-0.439264\pi\) |
0.730550 | + | 0.682859i | \(0.239264\pi\) | |||||||
\(48\) | 4.80158 | + | 1.56013i | 0.693048 | + | 0.225185i | ||||
\(49\) | 4.04508 | + | 2.93893i | 0.577869 | + | 0.419847i | ||||
\(50\) | 11.9861 | − | 3.95492i | 1.69508 | − | 0.559310i | ||||
\(51\) | −0.387951 | + | 1.19399i | −0.0543241 | + | 0.167192i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.93507 | + | 8.16893i | 0.815245 | + | 1.12209i | 0.990493 | + | 0.137564i | \(0.0439274\pi\) |
−0.175248 | + | 0.984524i | \(0.556073\pi\) | |||||||
\(54\) | 10.7446 | 1.46215 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −20.7446 | −2.77211 | ||||||||
\(57\) | 1.86278 | + | 2.56389i | 0.246731 | + | 0.339596i | ||||
\(58\) | −20.9938 | + | 6.82131i | −2.75663 | + | 0.895682i | ||||
\(59\) | 2.27816 | − | 7.01146i | 0.296591 | − | 0.912814i | −0.686091 | − | 0.727516i | \(-0.740675\pi\) |
0.982682 | − | 0.185298i | \(-0.0593251\pi\) | |||||||
\(60\) | 4.56722 | + | 6.25624i | 0.589625 | + | 0.807677i | ||||
\(61\) | 0.602364 | + | 0.437643i | 0.0771248 | + | 0.0560344i | 0.625680 | − | 0.780080i | \(-0.284822\pi\) |
−0.548555 | + | 0.836115i | \(0.684822\pi\) | |||||||
\(62\) | −8.09613 | − | 2.63059i | −1.02821 | − | 0.334086i | ||||
\(63\) | −7.81561 | + | 2.53945i | −0.984675 | + | 0.319940i | ||||
\(64\) | −1.91922 | + | 1.39439i | −0.239902 | + | 0.174299i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.30506i | 1.13679i | 0.822754 | + | 0.568397i | \(0.192436\pi\) | ||||
−0.822754 | + | 0.568397i | \(0.807564\pi\) | |||||||
\(68\) | 4.07230 | + | 5.60503i | 0.493838 | + | 0.679710i | ||||
\(69\) | 0.193976 | + | 0.596996i | 0.0233519 | + | 0.0718699i | ||||
\(70\) | −15.8452 | − | 11.4572i | −1.89386 | − | 1.36940i | ||||
\(71\) | 8.18470 | + | 5.94653i | 0.971345 | + | 0.705723i | 0.955758 | − | 0.294155i | \(-0.0950382\pi\) |
0.0155873 | + | 0.999879i | \(0.495038\pi\) | |||||||
\(72\) | 8.35023 | − | 11.4931i | 0.984084 | − | 1.35448i | ||||
\(73\) | 6.58911 | + | 2.14093i | 0.771197 | + | 0.250577i | 0.668077 | − | 0.744092i | \(-0.267117\pi\) |
0.103120 | + | 0.994669i | \(0.467117\pi\) | |||||||
\(74\) | −0.848116 | − | 2.61023i | −0.0985915 | − | 0.303434i | ||||
\(75\) | 0.0180337 | + | 3.96139i | 0.00208235 | + | 0.457422i | ||||
\(76\) | 17.4891 | 2.00614 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.01567 | − | 0.737928i | 0.114272 | − | 0.0830233i | −0.529182 | − | 0.848509i | \(-0.677501\pi\) |
0.643453 | + | 0.765485i | \(0.277501\pi\) | |||||||
\(80\) | 14.2488 | − | 0.0324327i | 1.59307 | − | 0.00362609i | ||||
\(81\) | 1.15713 | − | 3.56129i | 0.128570 | − | 0.395699i | ||||
\(82\) | −12.9749 | + | 17.8584i | −1.43284 | + | 1.97213i | ||||
\(83\) | −3.89893 | + | 5.36641i | −0.427963 | + | 0.589040i | −0.967484 | − | 0.252932i | \(-0.918605\pi\) |
0.539521 | + | 0.841972i | \(0.318605\pi\) | |||||||
\(84\) | 3.70820 | − | 11.4127i | 0.404598 | − | 1.24523i | ||||
\(85\) | 0.00806494 | + | 3.54321i | 0.000874766 | + | 0.384315i | ||||
\(86\) | 7.07450 | − | 5.13992i | 0.762863 | − | 0.554252i | ||||
\(87\) | − | 6.92820i | − | 0.742781i | ||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.37228 | −0.145462 | −0.0727308 | − | 0.997352i | \(-0.523171\pi\) | ||||
−0.0727308 | + | 0.997352i | \(0.523171\pi\) | |||||||
\(90\) | 12.7257 | − | 4.16689i | 1.34141 | − | 0.439228i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 3.29456 | + | 1.07047i | 0.343481 | + | 0.111604i | ||||
\(93\) | 1.57045 | − | 2.16154i | 0.162848 | − | 0.224142i | ||||
\(94\) | 13.5466 | + | 9.84221i | 1.39723 | + | 1.01515i | ||||
\(95\) | 7.24802 | + | 5.24083i | 0.743631 | + | 0.537698i | ||||
\(96\) | 1.00599 | + | 3.09610i | 0.102673 | + | 0.315995i | ||||
\(97\) | −3.43323 | − | 4.72544i | −0.348592 | − | 0.479796i | 0.598334 | − | 0.801247i | \(-0.295829\pi\) |
−0.946926 | + | 0.321451i | \(0.895829\pi\) | |||||||
\(98\) | 12.6217i | 1.27498i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 17.7446 | + | 12.7692i | 1.77446 | + | 1.27692i | ||||
\(101\) | −4.85410 | + | 3.52671i | −0.483001 | + | 0.350921i | −0.802486 | − | 0.596670i | \(-0.796490\pi\) |
0.319485 | + | 0.947591i | \(0.396490\pi\) | |||||||
\(102\) | −3.01404 | + | 0.979321i | −0.298434 | + | 0.0969672i | ||||
\(103\) | 9.88367 | + | 3.21140i | 0.973867 | + | 0.316429i | 0.752376 | − | 0.658734i | \(-0.228908\pi\) |
0.221491 | + | 0.975162i | \(0.428908\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 4.95674 | − | 3.61855i | 0.483728 | − | 0.353134i | ||||
\(106\) | −7.87657 | + | 24.2416i | −0.765040 | + | 2.35455i | ||||
\(107\) | 6.30860 | − | 2.04979i | 0.609875 | − | 0.198160i | 0.0122352 | − | 0.999925i | \(-0.496105\pi\) |
0.597640 | + | 0.801765i | \(0.296105\pi\) | |||||||
\(108\) | 10.9388 | + | 15.0559i | 1.05258 | + | 1.44876i | ||||
\(109\) | −10.0000 | −0.957826 | −0.478913 | − | 0.877862i | \(-0.658969\pi\) | ||||
−0.478913 | + | 0.877862i | \(0.658969\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.861407 | 0.0817611 | ||||||||
\(112\) | −12.9749 | − | 17.8584i | −1.22601 | − | 1.68746i | ||||
\(113\) | −0.472992 | + | 0.153684i | −0.0444954 | + | 0.0144574i | −0.331180 | − | 0.943568i | \(-0.607447\pi\) |
0.286685 | + | 0.958025i | \(0.407447\pi\) | |||||||
\(114\) | −2.47214 | + | 7.60845i | −0.231537 | + | 0.712597i | ||||
\(115\) | 1.04458 | + | 1.43089i | 0.0974080 | + | 0.133431i | ||||
\(116\) | −30.9317 | − | 22.4732i | −2.87194 | − | 2.08658i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 17.6993 | − | 5.75085i | 1.62935 | − | 0.529408i | ||||
\(119\) | 4.44080 | − | 3.22643i | 0.407087 | − | 0.295766i | ||||
\(120\) | −3.25544 | + | 10.0974i | −0.297179 | + | 0.921758i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 1.87953i | 0.170164i | ||||||||
\(123\) | −4.07230 | − | 5.60503i | −0.367187 | − | 0.505389i | ||||
\(124\) | −4.55632 | − | 14.0229i | −0.409170 | − | 1.25929i | ||||
\(125\) | 3.52744 | + | 10.6093i | 0.315504 | + | 0.948924i | ||||
\(126\) | −16.7827 | − | 12.1933i | −1.49512 | − | 1.08627i | ||||
\(127\) | −4.83032 | + | 6.64836i | −0.428621 | + | 0.589946i | −0.967636 | − | 0.252350i | \(-0.918797\pi\) |
0.539015 | + | 0.842296i | \(0.318797\pi\) | |||||||
\(128\) | −13.5110 | − | 4.38998i | −1.19421 | − | 0.388023i | ||||
\(129\) | 0.848116 | + | 2.61023i | 0.0746725 | + | 0.229818i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.74456 | −0.239794 | −0.119897 | − | 0.992786i | \(-0.538256\pi\) | ||||
−0.119897 | + | 0.992786i | \(0.538256\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 13.8564i | − | 1.20150i | ||||||
\(134\) | −19.0031 | + | 13.8066i | −1.64162 | + | 1.19271i | ||||
\(135\) | 0.0216636 | + | 9.51755i | 0.00186450 | + | 0.819140i | ||||
\(136\) | −2.93230 | + | 9.02469i | −0.251443 | + | 0.773861i | ||||
\(137\) | 8.43692 | − | 11.6124i | 0.720814 | − | 0.992116i | −0.278682 | − | 0.960383i | \(-0.589898\pi\) |
0.999496 | − | 0.0317325i | \(-0.0101025\pi\) | |||||||
\(138\) | −0.931389 | + | 1.28195i | −0.0792851 | + | 0.109127i | ||||
\(139\) | 5.01649 | − | 15.4392i | 0.425493 | − | 1.30953i | −0.477029 | − | 0.878888i | \(-0.658286\pi\) |
0.902522 | − | 0.430644i | \(-0.141714\pi\) | |||||||
\(140\) | −0.0770881 | − | 33.8675i | −0.00651514 | − | 2.86232i | ||||
\(141\) | −4.25174 | + | 3.08907i | −0.358061 | + | 0.260147i | ||||
\(142\) | 25.5383i | 2.14313i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 15.1168 | 1.25974 | ||||||||
\(145\) | −6.08466 | − | 18.5826i | −0.505303 | − | 1.54320i | ||||
\(146\) | 5.40444 | + | 16.6331i | 0.447274 | + | 1.37657i | ||||
\(147\) | −3.76755 | − | 1.22415i | −0.310742 | − | 0.100966i | ||||
\(148\) | 2.79417 | − | 3.84584i | 0.229679 | − | 0.316126i | ||||
\(149\) | −9.29490 | − | 6.75314i | −0.761468 | − | 0.553239i | 0.137892 | − | 0.990447i | \(-0.455967\pi\) |
−0.899360 | + | 0.437209i | \(0.855967\pi\) | |||||||
\(150\) | −8.06333 | + | 5.91462i | −0.658368 | + | 0.482927i | ||||
\(151\) | −3.78042 | − | 11.6349i | −0.307646 | − | 0.946837i | −0.978677 | − | 0.205407i | \(-0.934148\pi\) |
0.671031 | − | 0.741430i | \(-0.265852\pi\) | |||||||
\(152\) | 14.0797 | + | 19.3790i | 1.14201 | + | 1.57184i | ||||
\(153\) | 3.75906i | 0.303902i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.31386 | − | 7.17687i | 0.185854 | − | 0.576460i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 23.2544 | − | 7.55580i | 1.85590 | − | 0.603019i | 0.860248 | − | 0.509876i | \(-0.170309\pi\) |
0.995653 | − | 0.0931428i | \(-0.0296913\pi\) | |||||||
\(158\) | 3.01404 | + | 0.979321i | 0.239784 | + | 0.0779106i | ||||
\(159\) | −6.47214 | − | 4.70228i | −0.513274 | − | 0.372915i | ||||
\(160\) | 5.41736 | + | 7.42078i | 0.428280 | + | 0.586664i | ||||
\(161\) | 0.848116 | − | 2.61023i | 0.0668409 | − | 0.205715i | ||||
\(162\) | 8.98990 | − | 2.92100i | 0.706313 | − | 0.229495i | ||||
\(163\) | −2.03615 | − | 2.80252i | −0.159483 | − | 0.219510i | 0.721796 | − | 0.692106i | \(-0.243317\pi\) |
−0.881279 | + | 0.472596i | \(0.843317\pi\) | |||||||
\(164\) | −38.2337 | −2.98555 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −16.7446 | −1.29963 | ||||||||
\(167\) | 9.24935 | + | 12.7306i | 0.715736 | + | 0.985126i | 0.999655 | + | 0.0262779i | \(0.00836549\pi\) |
−0.283918 | + | 0.958848i | \(0.591635\pi\) | |||||||
\(168\) | 15.6312 | − | 5.07889i | 1.20598 | − | 0.391845i | ||||
\(169\) | 4.01722 | − | 12.3637i | 0.309017 | − | 0.951057i | ||||
\(170\) | −7.22408 | + | 5.27377i | −0.554062 | + | 0.404480i | ||||
\(171\) | 7.67686 | + | 5.57757i | 0.587064 | + | 0.426527i | ||||
\(172\) | 14.4047 | + | 4.68038i | 1.09835 | + | 0.356876i | ||||
\(173\) | −8.09613 | + | 2.63059i | −0.615538 | + | 0.200000i | −0.600158 | − | 0.799881i | \(-0.704896\pi\) |
−0.0153795 | + | 0.999882i | \(0.504896\pi\) | |||||||
\(174\) | 14.1490 | − | 10.2798i | 1.07263 | − | 0.779313i | ||||
\(175\) | 10.1168 | − | 14.0588i | 0.764762 | − | 1.06274i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.84096i | 0.439034i | ||||||||
\(178\) | −2.03615 | − | 2.80252i | −0.152616 | − | 0.210058i | ||||
\(179\) | −3.97439 | − | 12.2319i | −0.297060 | − | 0.914257i | −0.982522 | − | 0.186148i | \(-0.940400\pi\) |
0.685462 | − | 0.728109i | \(-0.259600\pi\) | |||||||
\(180\) | 18.7946 | + | 13.5898i | 1.40087 | + | 1.01293i | ||||
\(181\) | −19.5109 | − | 14.1755i | −1.45024 | − | 1.05366i | −0.985776 | − | 0.168065i | \(-0.946248\pi\) |
−0.464461 | − | 0.885594i | \(-0.653752\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.561035 | − | 0.182291i | −0.0414729 | − | 0.0134754i | ||||
\(184\) | 1.46615 | + | 4.51235i | 0.108086 | + | 0.332655i | ||||
\(185\) | 2.31044 | − | 0.756526i | 0.169867 | − | 0.0556209i | ||||
\(186\) | 6.74456 | 0.494535 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 29.0024i | 2.11522i | ||||||||
\(189\) | 11.9286 | − | 8.66664i | 0.867678 | − | 0.630405i | ||||
\(190\) | 0.0513921 | + | 22.5783i | 0.00372837 | + | 1.63800i | ||||
\(191\) | −5.98636 | + | 18.4241i | −0.433158 | + | 1.33312i | 0.461804 | + | 0.886982i | \(0.347202\pi\) |
−0.894962 | + | 0.446142i | \(0.852798\pi\) | |||||||
\(192\) | 1.10476 | − | 1.52057i | 0.0797291 | − | 0.109738i | ||||
\(193\) | 9.66063 | − | 13.2967i | 0.695387 | − | 0.957119i | −0.304602 | − | 0.952480i | \(-0.598523\pi\) |
0.999989 | − | 0.00463891i | \(-0.00147662\pi\) | |||||||
\(194\) | 4.55632 | − | 14.0229i | 0.327125 | − | 1.00679i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −17.6862 | + | 12.8498i | −1.26330 | + | 0.917844i | ||||
\(197\) | 8.51278i | 0.606510i | 0.952909 | + | 0.303255i | \(0.0980734\pi\) | ||||
−0.952909 | + | 0.303255i | \(0.901927\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.00000 | 0.567105 | 0.283552 | − | 0.958957i | \(-0.408487\pi\) | ||||
0.283552 | + | 0.958957i | \(0.408487\pi\) | |||||||
\(200\) | 0.136306 | + | 29.9419i | 0.00963832 | + | 2.11721i | ||||
\(201\) | −2.27816 | − | 7.01146i | −0.160689 | − | 0.494550i | ||||
\(202\) | −14.4047 | − | 4.68038i | −1.01351 | − | 0.329310i | ||||
\(203\) | −17.8052 | + | 24.5068i | −1.24968 | + | 1.72004i | ||||
\(204\) | −4.44080 | − | 3.22643i | −0.310918 | − | 0.225895i | ||||
\(205\) | −15.8452 | − | 11.4572i | −1.10668 | − | 0.800205i | ||||
\(206\) | 8.10666 | + | 24.9497i | 0.564817 | + | 1.73833i | ||||
\(207\) | 1.10476 | + | 1.52057i | 0.0767860 | + | 0.105687i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 14.7446 | + | 4.75372i | 1.01747 | + | 0.328038i | ||||
\(211\) | −1.20473 | + | 0.875286i | −0.0829369 | + | 0.0602572i | −0.628481 | − | 0.777825i | \(-0.716323\pi\) |
0.545544 | + | 0.838082i | \(0.316323\pi\) | |||||||
\(212\) | −41.9877 | + | 13.6426i | −2.88373 | + | 0.936979i | ||||
\(213\) | −7.62314 | − | 2.47691i | −0.522329 | − | 0.169715i | ||||
\(214\) | 13.5466 | + | 9.84221i | 0.926029 | + | 0.672799i | ||||
\(215\) | 4.56722 | + | 6.25624i | 0.311482 | + | 0.426672i | ||||
\(216\) | −7.87657 | + | 24.2416i | −0.535933 | + | 1.64943i | ||||
\(217\) | −11.1102 | + | 3.60991i | −0.754208 | + | 0.245057i | ||||
\(218\) | −14.8377 | − | 20.4223i | −1.00493 | − | 1.38317i | ||||
\(219\) | −5.48913 | −0.370921 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 1.27813 | + | 1.75919i | 0.0857823 | + | 0.118069i | ||||
\(223\) | −2.26053 | + | 0.734490i | −0.151376 | + | 0.0491851i | −0.383725 | − | 0.923447i | \(-0.625359\pi\) |
0.232349 | + | 0.972633i | \(0.425359\pi\) | |||||||
\(224\) | 4.39845 | − | 13.5370i | 0.293884 | − | 0.904482i | ||||
\(225\) | 3.71669 | + | 11.2641i | 0.247779 | + | 0.750938i | ||||
\(226\) | −1.01567 | − | 0.737928i | −0.0675614 | − | 0.0490862i | ||||
\(227\) | 15.9117 | + | 5.17004i | 1.05610 | + | 0.343148i | 0.785059 | − | 0.619420i | \(-0.212632\pi\) |
0.271040 | + | 0.962568i | \(0.412632\pi\) | |||||||
\(228\) | −13.1782 | + | 4.28187i | −0.872749 | + | 0.283573i | ||||
\(229\) | 11.8341 | − | 8.59796i | 0.782018 | − | 0.568169i | −0.123566 | − | 0.992336i | \(-0.539433\pi\) |
0.905584 | + | 0.424167i | \(0.139433\pi\) | |||||||
\(230\) | −1.37228 | + | 4.25639i | −0.0904856 | + | 0.280658i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 52.3663i | − | 3.43801i | ||||||
\(233\) | −2.20952 | − | 3.04114i | −0.144750 | − | 0.199232i | 0.730485 | − | 0.682928i | \(-0.239294\pi\) |
−0.875236 | + | 0.483697i | \(0.839294\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.69093 | + | 12.0195i | −0.566934 | + | 0.784064i | ||||
\(236\) | 26.0776 | + | 18.9465i | 1.69751 | + | 1.23331i | ||||
\(237\) | −0.584650 | + | 0.804702i | −0.0379771 | + | 0.0522710i | ||||
\(238\) | 13.1782 | + | 4.28187i | 0.854217 | + | 0.277552i | ||||
\(239\) | 4.55632 | + | 14.0229i | 0.294724 | + | 0.907067i | 0.983314 | + | 0.181916i | \(0.0582299\pi\) |
−0.688590 | + | 0.725151i | \(0.741770\pi\) | |||||||
\(240\) | −10.7287 | + | 3.51298i | −0.692533 | + | 0.226762i | ||||
\(241\) | 16.7446 | 1.07861 | 0.539306 | − | 0.842110i | \(-0.318687\pi\) | ||||
0.539306 | + | 0.842110i | \(0.318687\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.7359i | 1.00946i | ||||||||
\(244\) | −2.63370 | + | 1.91350i | −0.168606 | + | 0.122499i | ||||
\(245\) | −11.1803 | + | 0.0254483i | −0.714284 | + | 0.00162583i | ||||
\(246\) | 5.40444 | − | 16.6331i | 0.344574 | − | 1.06049i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 11.8701 | − | 16.3379i | 0.753755 | − | 1.03745i | ||||
\(249\) | 1.62402 | − | 4.99822i | 0.102918 | − | 0.316749i | ||||
\(250\) | −16.4327 | + | 22.9456i | −1.03930 | + | 1.45121i | ||||
\(251\) | 17.8929 | − | 13.0000i | 1.12939 | − | 0.820550i | 0.143784 | − | 0.989609i | \(-0.454073\pi\) |
0.985606 | + | 0.169059i | \(0.0540729\pi\) | |||||||
\(252\) | − | 35.9306i | − | 2.26342i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −20.7446 | −1.30163 | ||||||||
\(255\) | −0.873561 | − | 2.66787i | −0.0547045 | − | 0.167068i | ||||
\(256\) | −9.61563 | − | 29.5939i | −0.600977 | − | 1.84962i | ||||
\(257\) | 10.1642 | + | 3.30254i | 0.634025 | + | 0.206007i | 0.608357 | − | 0.793663i | \(-0.291829\pi\) |
0.0256675 | + | 0.999671i | \(0.491829\pi\) | |||||||
\(258\) | −4.07230 | + | 5.60503i | −0.253530 | + | 0.348954i | ||||
\(259\) | −3.04701 | − | 2.21378i | −0.189332 | − | 0.137558i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.41042 | − | 19.7293i | −0.396795 | − | 1.22121i | ||||
\(262\) | −4.07230 | − | 5.60503i | −0.251587 | − | 0.346280i | ||||
\(263\) | − | 27.4179i | − | 1.69066i | −0.534246 | − | 0.845329i | \(-0.679405\pi\) | ||
0.534246 | − | 0.845329i | \(-0.320595\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −21.4891 | − | 6.92820i | −1.32007 | − | 0.425596i | ||||
\(266\) | 28.2980 | − | 20.5597i | 1.73506 | − | 1.26060i | ||||
\(267\) | 1.03403 | − | 0.335976i | 0.0632814 | − | 0.0205614i | ||||
\(268\) | −38.6931 | − | 12.5722i | −2.36356 | − | 0.767967i | ||||
\(269\) | −9.29490 | − | 6.75314i | −0.566720 | − | 0.411746i | 0.267192 | − | 0.963643i | \(-0.413904\pi\) |
−0.833912 | + | 0.551897i | \(0.813904\pi\) | |||||||
\(270\) | −19.4049 | + | 14.1661i | −1.18094 | + | 0.862120i | ||||
\(271\) | 4.16837 | − | 12.8289i | 0.253210 | − | 0.779301i | −0.740967 | − | 0.671542i | \(-0.765632\pi\) |
0.994177 | − | 0.107760i | \(-0.0343677\pi\) | |||||||
\(272\) | −9.60315 | + | 3.12025i | −0.582277 | + | 0.189193i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 36.2337 | 2.18896 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −2.74456 | −0.165203 | ||||||||
\(277\) | 6.86646 | + | 9.45088i | 0.412566 | + | 0.567848i | 0.963842 | − | 0.266475i | \(-0.0858589\pi\) |
−0.551276 | + | 0.834323i | \(0.685859\pi\) | |||||||
\(278\) | 38.9736 | − | 12.6633i | 2.33748 | − | 0.759494i | ||||
\(279\) | 2.47214 | − | 7.60845i | 0.148003 | − | 0.455506i | ||||
\(280\) | 37.4651 | − | 27.3505i | 2.23897 | − | 1.63451i | ||||
\(281\) | 0.413306 | + | 0.300285i | 0.0246558 | + | 0.0179135i | 0.600045 | − | 0.799966i | \(-0.295149\pi\) |
−0.575389 | + | 0.817880i | \(0.695149\pi\) | |||||||
\(282\) | −12.6172 | − | 4.09957i | −0.751343 | − | 0.244126i | ||||
\(283\) | 14.4047 | − | 4.68038i | 0.856272 | − | 0.278220i | 0.152201 | − | 0.988350i | \(-0.451364\pi\) |
0.704071 | + | 0.710130i | \(0.251364\pi\) | |||||||
\(284\) | −35.7858 | + | 25.9999i | −2.12350 | + | 1.54281i | ||||
\(285\) | −6.74456 | − | 2.17448i | −0.399513 | − | 0.128805i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 30.2921i | 1.78808i | ||||||||
\(288\) | 5.72943 | + | 7.88589i | 0.337610 | + | 0.464680i | ||||
\(289\) | 4.47739 | + | 13.7800i | 0.263376 | + | 0.810587i | ||||
\(290\) | 28.9218 | − | 39.9986i | 1.69835 | − | 2.34880i | ||||
\(291\) | 3.74390 | + | 2.72010i | 0.219471 | + | 0.159455i | ||||
\(292\) | −17.8052 | + | 24.5068i | −1.04197 | + | 1.43415i | ||||
\(293\) | −3.01404 | − | 0.979321i | −0.176082 | − | 0.0572125i | 0.219649 | − | 0.975579i | \(-0.429509\pi\) |
−0.395731 | + | 0.918366i | \(0.629509\pi\) | |||||||
\(294\) | −3.09017 | − | 9.51057i | −0.180222 | − | 0.554667i | ||||
\(295\) | 5.12979 | + | 15.6665i | 0.298668 | + | 0.912136i | ||||
\(296\) | 6.51087 | 0.378437 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 29.0024i | − | 1.68007i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −16.4970 | − | 5.27729i | −0.952453 | − | 0.304684i | ||||
\(301\) | 3.70820 | − | 11.4127i | 0.213737 | − | 0.657816i | ||||
\(302\) | 18.1520 | − | 24.9840i | 1.04453 | − | 1.43767i | ||||
\(303\) | 2.79417 | − | 3.84584i | 0.160521 | − | 0.220938i | ||||
\(304\) | −7.87657 | + | 24.2416i | −0.451752 | + | 1.39035i | ||||
\(305\) | −1.66489 | + | 0.00378957i | −0.0953312 | + | 0.000216990i | ||||
\(306\) | −7.67686 | + | 5.57757i | −0.438857 | + | 0.318848i | ||||
\(307\) | 31.5817i | 1.80246i | 0.433340 | + | 0.901231i | \(0.357335\pi\) | ||||
−0.433340 | + | 0.901231i | \(0.642665\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −8.23369 | −0.468398 | ||||||||
\(310\) | 18.0901 | − | 5.92338i | 1.02745 | − | 0.336425i | ||||
\(311\) | 1.69623 | + | 5.22047i | 0.0961845 | + | 0.296026i | 0.987561 | − | 0.157239i | \(-0.0502593\pi\) |
−0.891376 | + | 0.453265i | \(0.850259\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.8560 | − | 17.6947i | 0.726661 | − | 1.00016i | −0.272615 | − | 0.962123i | \(-0.587888\pi\) |
0.999276 | − | 0.0380403i | \(-0.0121115\pi\) | |||||||
\(314\) | 49.9348 | + | 36.2798i | 2.81798 | + | 2.04739i | ||||
\(315\) | 10.7670 | − | 14.8907i | 0.606654 | − | 0.838998i | ||||
\(316\) | 1.69623 | + | 5.22047i | 0.0954206 | + | 0.293674i | ||||
\(317\) | −19.3757 | − | 26.6683i | −1.08825 | − | 1.49784i | −0.850106 | − | 0.526612i | \(-0.823462\pi\) |
−0.238141 | − | 0.971231i | \(-0.576538\pi\) | |||||||
\(318\) | − | 20.1947i | − | 1.13246i | ||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 1.62772 | − | 5.04868i | 0.0909922 | − | 0.282230i | ||||
\(321\) | −4.25174 | + | 3.08907i | −0.237309 | + | 0.172415i | ||||
\(322\) | 6.58911 | − | 2.14093i | 0.367197 | − | 0.119310i | ||||
\(323\) | −6.02808 | − | 1.95864i | −0.335411 | − | 0.108982i | ||||
\(324\) | 13.2455 | + | 9.62339i | 0.735859 | + | 0.534633i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 2.70222 | − | 8.31657i | 0.149662 | − | 0.460612i | ||||
\(327\) | 7.53510 | − | 2.44830i | 0.416692 | − | 0.135391i | ||||
\(328\) | −30.7801 | − | 42.3652i | −1.69955 | − | 2.33923i | ||||
\(329\) | 22.9783 | 1.26683 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.1168 | −0.775932 | −0.387966 | − | 0.921674i | \(-0.626822\pi\) | ||||
−0.387966 | + | 0.921674i | \(0.626822\pi\) | |||||||
\(332\) | −17.0472 | − | 23.4635i | −0.935587 | − | 1.28772i | ||||
\(333\) | 2.45300 | − | 0.797029i | 0.134424 | − | 0.0436769i | ||||
\(334\) | −12.2750 | + | 37.7786i | −0.671659 | + | 2.06716i | ||||
\(335\) | −12.2682 | − | 16.8051i | −0.670283 | − | 0.918163i | ||||
\(336\) | 14.1490 | + | 10.2798i | 0.771891 | + | 0.560812i | ||||
\(337\) | −30.8775 | − | 10.0327i | −1.68201 | − | 0.546517i | −0.696706 | − | 0.717356i | \(-0.745352\pi\) |
−0.985299 | + | 0.170840i | \(0.945352\pi\) | |||||||
\(338\) | 31.2102 | − | 10.1408i | 1.69761 | − | 0.551588i | ||||
\(339\) | 0.318778 | − | 0.231605i | 0.0173136 | − | 0.0125791i | ||||
\(340\) | −14.7446 | − | 4.75372i | −0.799636 | − | 0.257807i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 23.9538i | 1.29527i | ||||||||
\(343\) | −4.07230 | − | 5.60503i | −0.219883 | − | 0.302643i | ||||
\(344\) | 6.41042 | + | 19.7293i | 0.345627 | + | 1.06373i | ||||
\(345\) | −1.13743 | − | 0.822441i | −0.0612371 | − | 0.0442787i | ||||
\(346\) | −17.3851 | − | 12.6310i | −0.934627 | − | 0.679046i | ||||
\(347\) | −13.3216 | + | 18.3357i | −0.715143 | + | 0.984310i | 0.284528 | + | 0.958668i | \(0.408163\pi\) |
−0.999671 | + | 0.0256427i | \(0.991837\pi\) | |||||||
\(348\) | 28.8095 | + | 9.36076i | 1.54435 | + | 0.501789i | ||||
\(349\) | −4.78640 | − | 14.7310i | −0.256210 | − | 0.788534i | −0.993589 | − | 0.113054i | \(-0.963937\pi\) |
0.737379 | − | 0.675480i | \(-0.236063\pi\) | |||||||
\(350\) | 43.7224 | − | 0.199040i | 2.33706 | − | 0.0106391i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − | 25.0410i | − | 1.33280i | −0.745595 | − | 0.666399i | \(-0.767835\pi\) | ||
0.745595 | − | 0.666399i | \(-0.232165\pi\) | |||||||
\(354\) | −11.9286 | + | 8.66664i | −0.633998 | + | 0.460627i | ||||
\(355\) | −22.6219 | + | 0.0514913i | −1.20065 | + | 0.00273287i | ||||
\(356\) | 1.85410 | − | 5.70634i | 0.0982672 | − | 0.302435i | ||||
\(357\) | −2.55626 | + | 3.51838i | −0.135291 | + | 0.186213i | ||||
\(358\) | 19.0834 | − | 26.2660i | 1.00859 | − | 1.38820i | ||||
\(359\) | −9.11264 | + | 28.0458i | −0.480947 | + | 1.48020i | 0.356820 | + | 0.934173i | \(0.383861\pi\) |
−0.837766 | + | 0.546029i | \(0.816139\pi\) | |||||||
\(360\) | 0.0723050 | + | 31.7661i | 0.00381081 | + | 1.67422i | ||||
\(361\) | 2.42705 | − | 1.76336i | 0.127740 | − | 0.0928082i | ||||
\(362\) | − | 60.8791i | − | 3.19973i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −14.7228 | + | 4.82079i | −0.770625 | + | 0.252332i | ||||
\(366\) | −0.460165 | − | 1.41624i | −0.0240532 | − | 0.0740282i | ||||
\(367\) | 24.4809 | + | 7.95432i | 1.27789 | + | 0.415212i | 0.867837 | − | 0.496849i | \(-0.165510\pi\) |
0.410054 | + | 0.912061i | \(0.365510\pi\) | |||||||
\(368\) | −2.96754 | + | 4.08446i | −0.154694 | + | 0.212917i | ||||
\(369\) | −16.7827 | − | 12.1933i | −0.873673 | − | 0.634760i | ||||
\(370\) | 4.97316 | + | 3.59594i | 0.258542 | + | 0.186944i | ||||
\(371\) | 10.8089 | + | 33.2663i | 0.561169 | + | 1.72710i | ||||
\(372\) | 6.86646 | + | 9.45088i | 0.356010 | + | 0.490005i | ||||
\(373\) | 11.6819i | 0.604867i | 0.953170 | + | 0.302434i | \(0.0977990\pi\) | ||||
−0.953170 | + | 0.302434i | \(0.902201\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5.25544 | − | 7.13058i | −0.271390 | − | 0.368222i | ||||
\(376\) | −32.1364 | + | 23.3485i | −1.65731 | + | 1.20411i | ||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 35.3986 | + | 11.5017i | 1.82071 | + | 0.591583i | ||||
\(379\) | −0.507835 | − | 0.368964i | −0.0260857 | − | 0.0189524i | 0.574666 | − | 0.818388i | \(-0.305132\pi\) |
−0.600752 | + | 0.799436i | \(0.705132\pi\) | |||||||
\(380\) | −31.5857 | + | 23.0584i | −1.62031 | + | 1.18287i | ||||
\(381\) | 2.01197 | − | 6.19221i | 0.103076 | − | 0.317237i | ||||
\(382\) | −46.5087 | + | 15.1116i | −2.37959 | + | 0.773177i | ||||
\(383\) | −6.40077 | − | 8.80990i | −0.327064 | − | 0.450165i | 0.613544 | − | 0.789661i | \(-0.289744\pi\) |
−0.940608 | + | 0.339496i | \(0.889744\pi\) | |||||||
\(384\) | 11.2554 | 0.574377 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 41.4891 | 2.11174 | ||||||||
\(387\) | 4.83032 | + | 6.64836i | 0.245539 | + | 0.337955i | ||||
\(388\) | 24.2884 | − | 7.89178i | 1.23306 | − | 0.400644i | ||||
\(389\) | −5.82850 | + | 17.9383i | −0.295516 | + | 0.909506i | 0.687531 | + | 0.726155i | \(0.258695\pi\) |
−0.983047 | + | 0.183351i | \(0.941305\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.01567 | − | 0.737928i | −0.0513646 | − | 0.0373186i | ||||
\(392\) | −28.4767 | − | 9.25265i | −1.43829 | − | 0.467329i | ||||
\(393\) | 2.06805 | − | 0.671952i | 0.104320 | − | 0.0338955i | ||||
\(394\) | −17.3851 | + | 12.6310i | −0.875847 | + | 0.636340i | ||||
\(395\) | −0.861407 | + | 2.67181i | −0.0433421 | + | 0.134434i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 16.4356i | − | 0.824881i | −0.910984 | − | 0.412441i | \(-0.864676\pi\) | ||
0.910984 | − | 0.412441i | \(-0.135324\pi\) | |||||||
\(398\) | 11.8701 | + | 16.3379i | 0.594997 | + | 0.818943i | ||||
\(399\) | 3.39247 | + | 10.4409i | 0.169836 | + | 0.522701i | ||||
\(400\) | −25.6909 | + | 18.8448i | −1.28454 | + | 0.942241i | ||||
\(401\) | 9.29490 | + | 6.75314i | 0.464165 | + | 0.337236i | 0.795163 | − | 0.606396i | \(-0.207385\pi\) |
−0.330998 | + | 0.943631i | \(0.607385\pi\) | |||||||
\(402\) | 10.9388 | − | 15.0559i | 0.545576 | − | 0.750921i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −8.10666 | − | 24.9497i | −0.403321 | − | 1.24129i | ||||
\(405\) | 2.60555 | + | 7.95738i | 0.129471 | + | 0.395405i | ||||
\(406\) | −76.4674 | −3.79501 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | − | 7.51811i | − | 0.372202i | ||||||
\(409\) | 22.2392 | − | 16.1577i | 1.09966 | − | 0.798947i | 0.118652 | − | 0.992936i | \(-0.462143\pi\) |
0.981004 | + | 0.193989i | \(0.0621426\pi\) | |||||||
\(410\) | −0.112350 | − | 49.3594i | −0.00554859 | − | 2.43768i | ||||
\(411\) | −3.51423 | + | 10.8157i | −0.173344 | + | 0.533498i | ||||
\(412\) | −26.7078 | + | 36.7602i | −1.31580 | + | 1.81104i | ||||
\(413\) | 15.0111 | − | 20.6609i | 0.738646 | − | 1.01666i | ||||
\(414\) | −1.46615 | + | 4.51235i | −0.0720574 | + | 0.221770i | ||||
\(415\) | −0.0337610 | − | 14.8324i | −0.00165726 | − | 0.728092i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 12.8617i | 0.629842i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 22.9783 | 1.12256 | 0.561280 | − | 0.827626i | \(-0.310309\pi\) | ||||
0.561280 | + | 0.827626i | \(0.310309\pi\) | |||||||
\(420\) | 8.34986 | + | 25.5006i | 0.407432 | + | 1.24430i | ||||
\(421\) | 2.63000 | + | 8.09432i | 0.128179 | + | 0.394493i | 0.994467 | − | 0.105051i | \(-0.0335007\pi\) |
−0.866288 | + | 0.499545i | \(0.833501\pi\) | |||||||
\(422\) | −3.57507 | − | 1.16161i | −0.174032 | − | 0.0565464i | ||||
\(423\) | −9.24935 | + | 12.7306i | −0.449719 | + | 0.618985i | ||||
\(424\) | −48.9191 | − | 35.5418i | −2.37572 | − | 1.72606i | ||||
\(425\) | −4.68608 | − | 6.38847i | −0.227308 | − | 0.309886i | ||||
\(426\) | −6.25255 | − | 19.2434i | −0.302937 | − | 0.932345i | ||||
\(427\) | 1.51604 | + | 2.08665i | 0.0733663 | + | 0.100980i | ||||
\(428\) | 29.0024i | 1.40189i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.00000 | + | 18.6101i | −0.289346 | + | 0.897460i | ||||
\(431\) | 20.8102 | − | 15.1195i | 1.00239 | − | 0.728280i | 0.0397920 | − | 0.999208i | \(-0.487330\pi\) |
0.962600 | + | 0.270928i | \(0.0873305\pi\) | |||||||
\(432\) | −25.7954 | + | 8.38144i | −1.24108 | + | 0.403252i | ||||
\(433\) | −27.7754 | − | 9.02478i | −1.33480 | − | 0.433703i | −0.447249 | − | 0.894409i | \(-0.647596\pi\) |
−0.887553 | + | 0.460706i | \(0.847596\pi\) | |||||||
\(434\) | −23.8572 | − | 17.3333i | −1.14518 | − | 0.832024i | ||||
\(435\) | 9.13443 | + | 12.5125i | 0.437963 | + | 0.599927i | ||||
\(436\) | 13.5111 | − | 41.5829i | 0.647064 | − | 1.99146i | ||||
\(437\) | −3.01404 | + | 0.979321i | −0.144181 | + | 0.0468473i | ||||
\(438\) | −8.14459 | − | 11.2101i | −0.389164 | − | 0.535638i | ||||
\(439\) | −21.4891 | −1.02562 | −0.512810 | − | 0.858502i | \(-0.671395\pi\) | ||||
−0.512810 | + | 0.858502i | \(0.671395\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −11.8614 | −0.564829 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −30.1240 | + | 9.78788i | −1.43123 | + | 0.465036i | −0.919153 | − | 0.393901i | \(-0.871125\pi\) |
−0.512081 | + | 0.858937i | \(0.671125\pi\) | |||||||
\(444\) | −1.16385 | + | 3.58198i | −0.0552341 | + | 0.169993i | ||||
\(445\) | 2.47837 | − | 1.80927i | 0.117486 | − | 0.0857678i | ||||
\(446\) | −4.85410 | − | 3.52671i | −0.229848 | − | 0.166995i | ||||
\(447\) | 8.65717 | + | 2.81288i | 0.409470 | + | 0.133045i | ||||
\(448\) | −7.81561 | + | 2.53945i | −0.369253 | + | 0.119978i | ||||
\(449\) | 5.55099 | − | 4.03303i | 0.261968 | − | 0.190331i | −0.449046 | − | 0.893508i | \(-0.648236\pi\) |
0.711014 | + | 0.703178i | \(0.248236\pi\) | |||||||
\(450\) | −17.4891 | + | 24.3036i | −0.824445 | + | 1.14568i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 2.17448i | − | 0.102279i | ||||||
\(453\) | 5.69716 | + | 7.84147i | 0.267676 | + | 0.368424i | ||||
\(454\) | 13.0509 | + | 40.1666i | 0.612510 | + | 1.88511i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −15.3537 | − | 11.1551i | −0.719004 | − | 0.522387i | ||||
\(457\) | −12.2169 | + | 16.8151i | −0.571482 | + | 0.786577i | −0.992729 | − | 0.120368i | \(-0.961592\pi\) |
0.421247 | + | 0.906946i | \(0.361592\pi\) | |||||||
\(458\) | 35.1181 | + | 11.4105i | 1.64096 | + | 0.533180i | ||||
\(459\) | −2.08418 | − | 6.41446i | −0.0972814 | − | 0.299401i | ||||
\(460\) | −7.36138 | + | 2.41040i | −0.343226 | + | 0.112385i | ||||
\(461\) | 2.23369 | 0.104033 | 0.0520166 | − | 0.998646i | \(-0.483435\pi\) | ||||
0.0520166 | + | 0.998646i | \(0.483435\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 30.0897i | 1.39839i | 0.714933 | + | 0.699193i | \(0.246457\pi\) | ||||
−0.714933 | + | 0.699193i | \(0.753543\pi\) | |||||||
\(464\) | 45.0807 | − | 32.7530i | 2.09282 | − | 1.52052i | ||||
\(465\) | 0.0135986 | + | 5.97434i | 0.000630621 | + | 0.277054i | ||||
\(466\) | 2.93230 | − | 9.02469i | 0.135836 | − | 0.418061i | ||||
\(467\) | −4.53799 | + | 6.24601i | −0.209993 | + | 0.289031i | −0.901001 | − | 0.433816i | \(-0.857167\pi\) |
0.691008 | + | 0.722847i | \(0.257167\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −9.96076 | + | 30.6561i | −0.459945 | + | 1.41557i | ||||
\(470\) | −37.4419 | + | 0.0852241i | −1.72707 | + | 0.00393110i | ||||
\(471\) | −15.6725 | + | 11.3867i | −0.722151 | + | 0.524673i | ||||
\(472\) | 44.1485i | 2.03210i | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −2.51087 | −0.115328 | ||||||||
\(475\) | −19.9998 | + | 0.0910464i | −0.917653 | + | 0.00417749i | ||||
\(476\) | 7.41641 | + | 22.8254i | 0.339930 | + | 1.04620i | ||||
\(477\) | −22.7814 | − | 7.40212i | −1.04309 | − | 0.338920i | ||||
\(478\) | −21.8775 | + | 30.1118i | −1.00065 | + | 1.37728i | ||||
\(479\) | −4.44080 | − | 3.22643i | −0.202905 | − | 0.147419i | 0.481693 | − | 0.876340i | \(-0.340022\pi\) |
−0.684598 | + | 0.728921i | \(0.740022\pi\) | |||||||
\(480\) | −5.89887 | − | 4.26530i | −0.269245 | − | 0.194683i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 24.8451 | + | 34.1963i | 1.13166 | + | 1.55760i | ||||
\(483\) | 2.17448i | 0.0989423i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 12.4307 | + | 4.00772i | 0.564449 | + | 0.181981i | ||||
\(486\) | −32.1364 | + | 23.3485i | −1.45774 | + | 1.05911i | ||||
\(487\) | 6.78159 | − | 2.20347i | 0.307303 | − | 0.0998488i | −0.151306 | − | 0.988487i | \(-0.548348\pi\) |
0.458609 | + | 0.888638i | \(0.348348\pi\) | |||||||
\(488\) | −4.24054 | − | 1.37784i | −0.191960 | − | 0.0623717i | ||||
\(489\) | 2.22040 | + | 1.61321i | 0.100410 | + | 0.0729520i | ||||
\(490\) | −16.6410 | − | 22.7950i | −0.751762 | − | 1.02977i | ||||
\(491\) | 2.01197 | − | 6.19221i | 0.0907990 | − | 0.279451i | −0.895337 | − | 0.445389i | \(-0.853065\pi\) |
0.986136 | + | 0.165939i | \(0.0530654\pi\) | |||||||
\(492\) | 28.8095 | − | 9.36076i | 1.29883 | − | 0.422016i | ||||
\(493\) | 8.14459 | + | 11.2101i | 0.366814 | + | 0.504876i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 21.4891 | 0.964890 | ||||||||
\(497\) | 20.5994 | + | 28.3526i | 0.924009 | + | 1.27179i | ||||
\(498\) | 12.6172 | − | 4.09957i | 0.565390 | − | 0.183706i | ||||
\(499\) | 6.18034 | − | 19.0211i | 0.276670 | − | 0.851503i | −0.712103 | − | 0.702075i | \(-0.752257\pi\) |
0.988773 | − | 0.149427i | \(-0.0477430\pi\) | |||||||
\(500\) | −48.8825 | + | 0.333799i | −2.18609 | + | 0.0149279i | ||||
\(501\) | −10.0863 | − | 7.32814i | −0.450623 | − | 0.327397i | ||||
\(502\) | 53.0979 | + | 17.2525i | 2.36987 | + | 0.770018i | ||||
\(503\) | 12.8977 | − | 4.19072i | 0.575080 | − | 0.186855i | −0.00701509 | − | 0.999975i | \(-0.502233\pi\) |
0.582095 | + | 0.813120i | \(0.302233\pi\) | |||||||
\(504\) | 39.8133 | − | 28.9261i | 1.77343 | − | 1.28847i | ||||
\(505\) | 4.11684 | − | 12.7692i | 0.183197 | − | 0.568220i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 10.2997i | 0.457427i | ||||||||
\(508\) | −21.1195 | − | 29.0685i | −0.937026 | − | 1.28971i | ||||
\(509\) | −6.99235 | − | 21.5202i | −0.309930 | − | 0.953868i | −0.977791 | − | 0.209582i | \(-0.932790\pi\) |
0.667861 | − | 0.744286i | \(-0.267210\pi\) | |||||||
\(510\) | 4.15224 | − | 5.74251i | 0.183864 | − | 0.254283i | ||||
\(511\) | 19.4164 | + | 14.1068i | 0.858931 | + | 0.624050i | ||||
\(512\) | 29.4697 | − | 40.5616i | 1.30239 | − | 1.79259i | ||||
\(513\) | −16.1923 | − | 5.26119i | −0.714906 | − | 0.232287i | ||||
\(514\) | 8.33674 | + | 25.6578i | 0.367718 | + | 1.13172i | ||||
\(515\) | −22.0842 | + | 7.23119i | −0.973144 | + | 0.318644i | ||||
\(516\) | −12.0000 | −0.528271 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | − | 9.50744i | − | 0.417733i | ||||||
\(519\) | 5.45647 | − | 3.96435i | 0.239512 | − | 0.174016i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.67661 | + | 20.5485i | −0.292508 | + | 0.900246i | 0.691540 | + | 0.722339i | \(0.256933\pi\) |
−0.984047 | + | 0.177907i | \(0.943067\pi\) | |||||||
\(522\) | 30.7801 | − | 42.3652i | 1.34721 | − | 1.85428i | ||||
\(523\) | −17.0472 | + | 23.4635i | −0.745422 | + | 1.02599i | 0.252866 | + | 0.967501i | \(0.418627\pi\) |
−0.998288 | + | 0.0584843i | \(0.981373\pi\) | |||||||
\(524\) | 3.70820 | − | 11.4127i | 0.161994 | − | 0.498565i | ||||
\(525\) | −4.18113 | + | 13.0703i | −0.182479 | + | 0.570436i | ||||
\(526\) | 55.9936 | − | 40.6818i | 2.44144 | − | 1.77381i | ||||
\(527\) | 5.34363i | 0.232772i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.3723 | 0.972708 | ||||||||
\(530\) | −17.7359 | − | 54.1656i | −0.770398 | − | 2.35280i | ||||
\(531\) | 5.40444 | + | 16.6331i | 0.234533 | + | 0.721817i | ||||
\(532\) | 57.6189 | + | 18.7215i | 2.49810 | + | 0.811681i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 2.22040 | + | 1.61321i | 0.0960860 | + | 0.0698106i | ||||
\(535\) | −8.69093 | + | 12.0195i | −0.375742 | + | 0.519647i | ||||
\(536\) | −17.2193 | − | 52.9955i | −0.743760 | − | 2.28906i | ||||
\(537\) | 5.98949 | + | 8.24382i | 0.258465 | + | 0.355747i | ||||
\(538\) | − | 29.0024i | − | 1.25038i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −39.6060 | − | 12.7692i | −1.70437 | − | 0.549497i | ||||
\(541\) | −27.6956 | + | 20.1221i | −1.19073 | + | 0.865115i | −0.993341 | − | 0.115211i | \(-0.963246\pi\) |
−0.197387 | + | 0.980326i | \(0.563246\pi\) | |||||||
\(542\) | 32.3845 | − | 10.5224i | 1.39103 | − | 0.451975i | ||||
\(543\) | 18.1723 | + | 5.90453i | 0.779847 | + | 0.253388i | ||||
\(544\) | −5.26741 | − | 3.82700i | −0.225838 | − | 0.164081i | ||||
\(545\) | 18.0602 | − | 13.1844i | 0.773614 | − | 0.564759i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 27.5830 | − | 8.96224i | 1.17936 | − | 0.383198i | 0.347232 | − | 0.937779i | \(-0.387122\pi\) |
0.832130 | + | 0.554581i | \(0.187122\pi\) | |||||||
\(548\) | 36.8886 | + | 50.7728i | 1.57580 | + | 2.16891i | ||||
\(549\) | −1.76631 | −0.0753844 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 34.9783 | 1.49012 | ||||||||
\(552\) | −2.20952 | − | 3.04114i | −0.0940433 | − | 0.129439i | ||||
\(553\) | 4.13611 | − | 1.34390i | 0.175885 | − | 0.0571486i | ||||
\(554\) | −9.11264 | + | 28.0458i | −0.387159 | + | 1.19155i | ||||
\(555\) | −1.55572 | + | 1.13571i | −0.0660366 | + | 0.0482084i | ||||
\(556\) | 57.4226 | + | 41.7200i | 2.43526 | + | 1.76932i | ||||
\(557\) | −0.945984 | − | 0.307369i | −0.0400826 | − | 0.0130236i | 0.288907 | − | 0.957357i | \(-0.406708\pi\) |
−0.328990 | + | 0.944334i | \(0.606708\pi\) | |||||||
\(558\) | 19.2063 | − | 6.24051i | 0.813068 | − | 0.264182i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 46.9783 | + | 15.1460i | 1.98519 | + | 0.640036i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 1.28962i | 0.0543994i | ||||||||
\(563\) | −11.1121 | − | 15.2945i | −0.468320 | − | 0.644588i | 0.507888 | − | 0.861423i | \(-0.330426\pi\) |
−0.976208 | + | 0.216836i | \(0.930426\pi\) | |||||||
\(564\) | −7.10067 | − | 21.8536i | −0.298992 | − | 0.920203i | ||||
\(565\) | 0.651610 | − | 0.901170i | 0.0274134 | − | 0.0379125i | ||||
\(566\) | 30.9317 | + | 22.4732i | 1.30016 | + | 0.944619i | ||||
\(567\) | 7.62448 | − | 10.4942i | 0.320198 | − | 0.440715i | ||||
\(568\) | −57.6189 | − | 18.7215i | −2.41764 | − | 0.785537i | ||||
\(569\) | 8.42239 | + | 25.9215i | 0.353085 | + | 1.08668i | 0.957111 | + | 0.289720i | \(0.0935621\pi\) |
−0.604026 | + | 0.796964i | \(0.706438\pi\) | |||||||
\(570\) | −5.56657 | − | 17.0004i | −0.233158 | − | 0.712068i | ||||
\(571\) | 1.48913 | 0.0623180 | 0.0311590 | − | 0.999514i | \(-0.490080\pi\) | ||||
0.0311590 | + | 0.999514i | \(0.490080\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 15.3484i | − | 0.641189i | ||||||
\(574\) | −61.8634 | + | 44.9464i | −2.58213 | + | 1.87603i | ||||
\(575\) | −3.77308 | − | 1.20699i | −0.157348 | − | 0.0503348i | ||||
\(576\) | 1.73906 | − | 5.35228i | 0.0724609 | − | 0.223012i | ||||
\(577\) | 12.8560 | − | 17.6947i | 0.535200 | − | 0.736640i | −0.452712 | − | 0.891657i | \(-0.649543\pi\) |
0.987912 | + | 0.155017i | \(0.0495433\pi\) | |||||||
\(578\) | −21.4985 | + | 29.5902i | −0.894220 | + | 1.23079i | ||||
\(579\) | −4.02394 | + | 12.3844i | −0.167229 | + | 0.514679i | ||||
\(580\) | 85.4929 | − | 0.194596i | 3.54990 | − | 0.00808018i | ||||
\(581\) | −18.5898 | + | 13.5063i | −0.771235 | + | 0.560335i | ||||
\(582\) | 11.6819i | 0.484231i | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −41.4891 | −1.71683 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.47214 | − | 7.60845i | −0.102123 | − | 0.314302i | ||||
\(587\) | −39.2542 | − | 12.7544i | −1.62019 | − | 0.526432i | −0.648205 | − | 0.761466i | \(-0.724480\pi\) |
−0.971987 | + | 0.235033i | \(0.924480\pi\) | |||||||
\(588\) | 10.1807 | − | 14.0126i | 0.419847 | − | 0.577869i | ||||
\(589\) | 10.9129 | + | 7.92871i | 0.449660 | + | 0.326697i | ||||
\(590\) | −24.3831 | + | 33.7216i | −1.00384 | + | 1.38830i | ||||
\(591\) | −2.08418 | − | 6.41446i | −0.0857319 | − | 0.263856i | ||||
\(592\) | 4.07230 | + | 5.60503i | 0.167370 | + | 0.230365i | ||||
\(593\) | 22.7739i | 0.935214i | 0.883937 | + | 0.467607i | \(0.154884\pi\) | ||||
−0.883937 | + | 0.467607i | \(0.845116\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.76631 | + | 11.6819i | −0.154404 | + | 0.478912i | ||||
\(596\) | 40.6399 | − | 29.5266i | 1.66468 | − | 1.20946i | ||||
\(597\) | −6.02808 | + | 1.95864i | −0.246713 | + | 0.0801618i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 8.88159 | + | 6.45285i | 0.362892 | + | 0.263656i | 0.754257 | − | 0.656579i | \(-0.227997\pi\) |
−0.391365 | + | 0.920235i | \(0.627997\pi\) | |||||||
\(600\) | −7.43338 | − | 22.5281i | −0.303467 | − | 0.919707i | ||||
\(601\) | −11.8871 | + | 36.5846i | −0.484884 | + | 1.49232i | 0.347265 | + | 0.937767i | \(0.387110\pi\) |
−0.832149 | + | 0.554552i | \(0.812890\pi\) | |||||||
\(602\) | 28.8095 | − | 9.36076i | 1.17419 | − | 0.381516i | ||||
\(603\) | −12.9749 | − | 17.8584i | −0.528379 | − | 0.727251i | ||||
\(604\) | 53.4891 | 2.17644 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 12.0000 | 0.487467 | ||||||||
\(607\) | −2.03615 | − | 2.80252i | −0.0826447 | − | 0.113751i | 0.765693 | − | 0.643206i | \(-0.222396\pi\) |
−0.848338 | + | 0.529456i | \(0.822396\pi\) | |||||||
\(608\) | −15.6312 | + | 5.07889i | −0.633930 | + | 0.205976i | ||||
\(609\) | 7.41641 | − | 22.8254i | 0.300528 | − | 0.924930i | ||||
\(610\) | −2.47805 | − | 3.39447i | −0.100333 | − | 0.137438i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −15.6312 | − | 5.07889i | −0.631855 | − | 0.205302i | ||||
\(613\) | −4.13611 | + | 1.34390i | −0.167056 | + | 0.0542797i | −0.391351 | − | 0.920242i | \(-0.627992\pi\) |
0.224295 | + | 0.974521i | \(0.427992\pi\) | |||||||
\(614\) | −64.4971 | + | 46.8599i | −2.60289 | + | 1.89111i | ||||
\(615\) | 14.7446 | + | 4.75372i | 0.594558 | + | 0.191689i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 17.0256i | − | 0.685423i | −0.939441 | − | 0.342712i | \(-0.888655\pi\) | ||
0.939441 | − | 0.342712i | \(-0.111345\pi\) | |||||||
\(618\) | −12.2169 | − | 16.8151i | −0.491435 | − | 0.676403i | ||||
\(619\) | −4.36234 | − | 13.4259i | −0.175337 | − | 0.539633i | 0.824311 | − | 0.566137i | \(-0.191563\pi\) |
−0.999649 | + | 0.0265037i | \(0.991563\pi\) | |||||||
\(620\) | 26.7172 | + | 19.3184i | 1.07299 | + | 0.775847i | ||||
\(621\) | −2.72823 | − | 1.98218i | −0.109480 | − | 0.0795420i | ||||
\(622\) | −8.14459 | + | 11.2101i | −0.326568 | + | 0.449483i | ||||
\(623\) | −4.52106 | − | 1.46898i | −0.181132 | − | 0.0588535i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −20.3584 | − | 14.5099i | −0.814335 | − | 0.580395i | ||||
\(626\) | 55.2119 | 2.20671 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 106.907i | 4.26606i | ||||||||
\(629\) | −1.39379 | + | 1.01264i | −0.0555739 | + | 0.0403768i | ||||
\(630\) | 46.3861 | − | 0.105583i | 1.84807 | − | 0.00420652i | ||||
\(631\) | 7.29465 | − | 22.4506i | 0.290395 | − | 0.893745i | −0.694334 | − | 0.719653i | \(-0.744301\pi\) |
0.984729 | − | 0.174092i | \(-0.0556990\pi\) | |||||||
\(632\) | −4.41903 | + | 6.08228i | −0.175780 | + | 0.241940i | ||||
\(633\) | 0.693478 | − | 0.954490i | 0.0275633 | − | 0.0379376i | ||||
\(634\) | 25.7139 | − | 79.1393i | 1.02123 | − | 3.14302i | ||||
\(635\) | −0.0418259 | − | 18.3756i | −0.00165981 | − | 0.729212i | ||||
\(636\) | 28.2980 | − | 20.5597i | 1.12209 | − | 0.815245i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −24.0000 | −0.949425 | ||||||||
\(640\) | 30.1890 | − | 9.88503i | 1.19333 | − | 0.390740i | ||||
\(641\) | −7.84047 | − | 24.1305i | −0.309680 | − | 0.953096i | −0.977889 | − | 0.209123i | \(-0.932939\pi\) |
0.668210 | − | 0.743973i | \(-0.267061\pi\) | |||||||
\(642\) | −12.6172 | − | 4.09957i | −0.497961 | − | 0.161797i | ||||
\(643\) | 17.9242 | − | 24.6705i | 0.706861 | − | 0.972910i | −0.292998 | − | 0.956113i | \(-0.594653\pi\) |
0.999859 | − | 0.0167972i | \(-0.00534696\pi\) | |||||||
\(644\) | 9.70820 | + | 7.05342i | 0.382557 | + | 0.277944i | ||||
\(645\) | −4.97316 | − | 3.59594i | −0.195818 | − | 0.141590i | ||||
\(646\) | −4.94427 | − | 15.2169i | −0.194530 | − | 0.598701i | ||||
\(647\) | 12.9205 | + | 17.7835i | 0.507957 | + | 0.699143i | 0.983573 | − | 0.180510i | \(-0.0577749\pi\) |
−0.475616 | + | 0.879653i | \(0.657775\pi\) | |||||||
\(648\) | 22.4241i | 0.880901i | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 7.48781 | − | 5.44021i | 0.293470 | − | 0.213219i | ||||
\(652\) | 14.4047 | − | 4.68038i | 0.564133 | − | 0.183298i | ||||
\(653\) | 29.2824 | + | 9.51444i | 1.14591 | + | 0.372329i | 0.819601 | − | 0.572934i | \(-0.194195\pi\) |
0.326309 | + | 0.945263i | \(0.394195\pi\) | |||||||
\(654\) | 16.1803 | + | 11.7557i | 0.632701 | + | 0.459684i | ||||
\(655\) | 4.95674 | − | 3.61855i | 0.193676 | − | 0.141388i | ||||
\(656\) | 17.2193 | − | 52.9955i | 0.672301 | − | 2.06913i | ||||
\(657\) | −15.6312 | + | 5.07889i | −0.609832 | + | 0.198147i | ||||
\(658\) | 34.0944 | + | 46.9269i | 1.32914 | + | 1.82940i | ||||
\(659\) | −21.2554 | −0.827994 | −0.413997 | − | 0.910278i | \(-0.635868\pi\) | ||||
−0.413997 | + | 0.910278i | \(0.635868\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.3505 | −0.635962 | −0.317981 | − | 0.948097i | \(-0.603005\pi\) | ||||
−0.317981 | + | 0.948097i | \(0.603005\pi\) | |||||||
\(662\) | −20.9461 | − | 28.8299i | −0.814094 | − | 1.12050i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 12.2750 | − | 37.7786i | 0.476363 | − | 1.46610i | ||||
\(665\) | 18.2689 | + | 25.0250i | 0.708436 | + | 0.970426i | ||||
\(666\) | 5.26741 | + | 3.82700i | 0.204108 | + | 0.148293i | ||||
\(667\) | 6.58911 | + | 2.14093i | 0.255131 | + | 0.0828972i | ||||
\(668\) | −65.4345 | + | 21.2610i | −2.53174 | + | 0.822611i | ||||
\(669\) | 1.52351 | − | 1.10689i | 0.0589021 | − | 0.0427949i | ||||
\(670\) | 16.1168 | − | 49.9894i | 0.622648 | − | 1.93126i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 11.2772i | 0.435026i | ||||||||
\(673\) | 10.9388 | + | 15.0559i | 0.421658 | + | 0.580363i | 0.966013 | − | 0.258492i | \(-0.0832256\pi\) |
−0.544355 | + | 0.838855i | \(0.683226\pi\) | |||||||
\(674\) | −25.3260 | − | 77.9453i | −0.975519 | − | 3.00234i | ||||
\(675\) | −12.5875 | − | 17.1603i | −0.484492 | − | 0.660501i | ||||
\(676\) | 45.9842 | + | 33.4095i | 1.76862 | + | 1.28498i | ||||
\(677\) | 29.4375 | − | 40.5172i | 1.13137 | − | 1.55720i | 0.345939 | − | 0.938257i | \(-0.387560\pi\) |
0.785434 | − | 0.618945i | \(-0.212440\pi\) | |||||||
\(678\) | 0.945984 | + | 0.307369i | 0.0363303 | + | 0.0118044i | ||||
\(679\) | −6.25255 | − | 19.2434i | −0.239951 | − | 0.738493i | ||||
\(680\) | −6.60274 | − | 20.1649i | −0.253204 | − | 0.773287i | ||||
\(681\) | −13.2554 | −0.507949 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 17.9104i | − | 0.685323i | −0.939459 | − | 0.342661i | \(-0.888672\pi\) | ||
0.939459 | − | 0.342661i | \(-0.111328\pi\) | |||||||
\(684\) | −33.5654 | + | 24.3867i | −1.28341 | + | 0.932449i | ||||
\(685\) | 0.0730557 | + | 32.0959i | 0.00279131 | + | 1.22632i | ||||
\(686\) | 5.40444 | − | 16.6331i | 0.206342 | − | 0.635056i | ||||
\(687\) | −6.81205 | + | 9.37598i | −0.259896 | + | 0.357716i | ||||
\(688\) | −12.9749 | + | 17.8584i | −0.494664 | + | 0.680846i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −0.00806494 | − | 3.54321i | −0.000307027 | − | 0.134888i | ||||
\(691\) | −36.2936 | + | 26.3689i | −1.38068 | + | 1.00312i | −0.383858 | + | 0.923392i | \(0.625405\pi\) |
−0.996817 | + | 0.0797273i | \(0.974595\pi\) | |||||||
\(692\) | − | 37.2203i | − | 1.41490i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −57.2119 | −2.17174 | ||||||||
\(695\) | 11.2958 | + | 34.4974i | 0.428472 | + | 1.30856i | ||||
\(696\) | 12.8208 | + | 39.4585i | 0.485973 | + | 1.49567i | ||||
\(697\) | 13.1782 | + | 4.28187i | 0.499161 | + | 0.162187i | ||||
\(698\) | 22.9823 | − | 31.6324i | 0.869892 | − | 1.19730i | ||||
\(699\) | 2.40946 | + | 1.75057i | 0.0911340 | + | 0.0662127i | ||||
\(700\) | 44.7915 | + | 61.0637i | 1.69296 | + | 2.30799i | ||||
\(701\) | −3.86607 | − | 11.8985i | −0.146020 | − | 0.449402i | 0.851121 | − | 0.524969i | \(-0.175923\pi\) |
−0.997141 | + | 0.0755673i | \(0.975923\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.34896i | 0.164024i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 3.60597 | − | 11.1846i | 0.135809 | − | 0.421236i | ||||
\(706\) | 51.1395 | − | 37.1550i | 1.92466 | − | 1.39835i | ||||
\(707\) | −19.7673 | + | 6.42280i | −0.743427 | + | 0.241554i | ||||
\(708\) | −24.2884 | − | 7.89178i | −0.912814 | − | 0.296591i | ||||
\(709\) | 19.3219 | + | 14.0382i | 0.725648 | + | 0.527214i | 0.888184 | − | 0.459488i | \(-0.151967\pi\) |
−0.162535 | + | 0.986703i | \(0.551967\pi\) | |||||||
\(710\) | −33.6708 | − | 46.1228i | −1.26364 | − | 1.73096i | ||||
\(711\) | −0.920330 | + | 2.83248i | −0.0345151 | + | 0.106226i | ||||
\(712\) | 7.81561 | − | 2.53945i | 0.292903 | − | 0.0951698i | ||||
\(713\) | 1.57045 | + | 2.16154i | 0.0588139 | + | 0.0809504i | ||||
\(714\) | −10.9783 | −0.410851 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 56.2337 | 2.10155 | ||||||||
\(717\) | −6.86646 | − | 9.45088i | −0.256433 | − | 0.352949i | ||||
\(718\) | −70.7971 | + | 23.0034i | −2.64213 | + | 0.858479i | ||||
\(719\) | 9.37883 | − | 28.8651i | 0.349771 | − | 1.07649i | −0.609208 | − | 0.793010i | \(-0.708513\pi\) |
0.958980 | − | 0.283475i | \(-0.0914874\pi\) | |||||||
\(720\) | −27.3013 | + | 19.9307i | −1.01746 | + | 0.742773i | ||||
\(721\) | 29.1246 | + | 21.1603i | 1.08466 | + | 0.788050i | ||||
\(722\) | 7.20236 | + | 2.34019i | 0.268044 | + | 0.0870928i | ||||
\(723\) | −12.6172 | + | 4.09957i | −0.469238 | + | 0.152465i | ||||
\(724\) | 85.3073 | − | 61.9794i | 3.17042 | − | 2.30345i | ||||
\(725\) | 35.4891 | + | 25.5383i | 1.31803 | + | 0.948470i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 14.0588i | 0.521412i | 0.965418 | + | 0.260706i | \(0.0839552\pi\) | ||||
−0.965418 | + | 0.260706i | \(0.916045\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.381231 | − | 1.17331i | −0.0141196 | − | 0.0434558i | ||||
\(730\) | −31.6904 | − | 22.9144i | −1.17291 | − | 0.848099i | ||||
\(731\) | −4.44080 | − | 3.22643i | −0.164249 | − | 0.119334i | ||||
\(732\) | 1.51604 | − | 2.08665i | 0.0560344 | − | 0.0771248i | ||||
\(733\) | 9.04212 | + | 2.93796i | 0.333978 | + | 0.108516i | 0.471205 | − | 0.882024i | \(-0.343819\pi\) |
−0.137227 | + | 0.990540i | \(0.543819\pi\) | |||||||
\(734\) | 20.0794 | + | 61.7980i | 0.741144 | + | 2.28101i | ||||
\(735\) | 8.41824 | − | 2.75645i | 0.310512 | − | 0.101673i | ||||
\(736\) | −3.25544 | −0.119997 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | − | 52.3663i | − | 1.92763i | ||||||
\(739\) | −8.69253 | + | 6.31550i | −0.319760 | + | 0.232319i | −0.736073 | − | 0.676902i | \(-0.763322\pi\) |
0.416313 | + | 0.909221i | \(0.363322\pi\) | |||||||
\(740\) | 0.0241948 | + | 10.6296i | 0.000889420 | + | 0.390753i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −51.8996 | + | 71.4337i | −1.90530 | + | 2.62241i | ||||
\(743\) | −6.69309 | + | 9.21225i | −0.245546 | + | 0.337965i | −0.913945 | − | 0.405838i | \(-0.866980\pi\) |
0.668399 | + | 0.743803i | \(0.266980\pi\) | |||||||
\(744\) | −4.94427 | + | 15.2169i | −0.181266 | + | 0.557879i | ||||
\(745\) | 25.6904 | − | 0.0584757i | 0.941223 | − | 0.00214239i | ||||
\(746\) | −23.8572 | + | 17.3333i | −0.873474 | + | 0.634616i | ||||
\(747\) | − | 15.7359i | − | 0.575748i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 22.9783 | 0.839607 | ||||||||
\(750\) | 6.76445 | − | 21.3130i | 0.247003 | − | 0.778239i | ||||
\(751\) | 8.45850 | + | 26.0326i | 0.308655 | + | 0.949943i | 0.978288 | + | 0.207250i | \(0.0664515\pi\) |
−0.669633 | + | 0.742692i | \(0.733549\pi\) | |||||||
\(752\) | −40.2001 | − | 13.0618i | −1.46595 | − | 0.476316i | ||||
\(753\) | −10.2997 | + | 14.1763i | −0.375342 | + | 0.516614i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 22.1675 | + | 16.0287i | 0.806758 | + | 0.583343i | ||||
\(756\) | 19.9215 | + | 61.3121i | 0.724538 | + | 2.22990i | ||||
\(757\) | −23.3936 | − | 32.1985i | −0.850253 | − | 1.17027i | −0.983807 | − | 0.179232i | \(-0.942639\pi\) |
0.133554 | − | 0.991042i | \(-0.457361\pi\) | |||||||
\(758\) | − | 1.58457i | − | 0.0575543i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −50.9783 | − | 16.4356i | −1.84918 | − | 0.596184i | ||||
\(761\) | −26.4909 | + | 19.2468i | −0.960295 | + | 0.697695i | −0.953219 | − | 0.302280i | \(-0.902252\pi\) |
−0.00707549 | + | 0.999975i | \(0.502252\pi\) | |||||||
\(762\) | 15.6312 | − | 5.07889i | 0.566260 | − | 0.183989i | ||||
\(763\) | −32.9456 | − | 10.7047i | −1.19271 | − | 0.387535i | ||||
\(764\) | −68.5246 | − | 49.7860i | −2.47913 | − | 1.80120i | ||||
\(765\) | −4.95610 | − | 6.78893i | −0.179188 | − | 0.245454i | ||||
\(766\) | 8.49461 | − | 26.1437i | 0.306923 | − | 0.944611i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 14.4909 | + | 19.9451i | 0.522897 | + | 0.719706i | ||||
\(769\) | −29.2119 | −1.05341 | −0.526705 | − | 0.850048i | \(-0.676573\pi\) | ||||
−0.526705 | + | 0.850048i | \(0.676573\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −8.46738 | −0.304945 | ||||||||
\(772\) | 42.2390 | + | 58.1370i | 1.52021 | + | 2.09240i | ||||
\(773\) | −16.7533 | + | 5.44348i | −0.602574 | + | 0.195788i | −0.594388 | − | 0.804178i | \(-0.702606\pi\) |
−0.00818608 | + | 0.999966i | \(0.502606\pi\) | |||||||
\(774\) | −6.41042 | + | 19.7293i | −0.230418 | + | 0.709153i | ||||
\(775\) | 5.28341 | + | 16.0123i | 0.189786 | + | 0.575178i | ||||
\(776\) | 28.2980 | + | 20.5597i | 1.01584 | + | 0.738050i | ||||
\(777\) | 2.83795 | + | 0.922107i | 0.101811 | + | 0.0330804i | ||||
\(778\) | −45.2822 | + | 14.7131i | −1.62345 | + | 0.527490i | ||||
\(779\) | 28.2980 | − | 20.5597i | 1.01388 | − | 0.736628i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | − | 3.16915i | − | 0.113328i | ||||||
\(783\) | 21.8775 | + | 30.1118i | 0.781839 | + | 1.07611i | ||||
\(784\) | −9.84572 | − | 30.3020i | −0.351633 | − | 1.08221i | ||||
\(785\) | −32.0360 | + | 44.3055i | −1.14341 | + | 1.58133i | ||||
\(786\) | 4.44080 | + | 3.22643i | 0.158398 | + | 0.115083i | ||||
\(787\) | −8.90261 | + | 12.2534i | −0.317344 | + | 0.436786i | −0.937654 | − | 0.347570i | \(-0.887007\pi\) |
0.620310 | + | 0.784357i | \(0.287007\pi\) | |||||||
\(788\) | −35.3986 | − | 11.5017i | −1.26102 | − | 0.409731i | ||||
\(789\) | 6.71272 | + | 20.6596i | 0.238979 | + | 0.735502i | ||||
\(790\) | −6.73459 | + | 2.20516i | −0.239606 | + | 0.0784561i | ||||
\(791\) | −1.72281 | −0.0612562 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 33.5654 | − | 24.3867i | 1.19119 | − | 0.865451i | ||||
\(795\) | 17.8885 | − | 0.0407173i | 0.634440 | − | 0.00144409i | ||||
\(796\) | −10.8089 | + | 33.2663i | −0.383110 | + | 1.17909i | ||||
\(797\) | 3.08649 | − | 4.24819i | 0.109329 | − | 0.150479i | −0.750846 | − | 0.660477i | \(-0.770354\pi\) |
0.860175 | + | 0.509998i | \(0.170354\pi\) | |||||||
\(798\) | −16.2892 | + | 22.4201i | −0.576631 | + | 0.793664i | ||||
\(799\) | 3.24804 | − | 9.99644i | 0.114907 | − | 0.353648i | ||||
\(800\) | −19.5677 | − | 6.25960i | −0.691824 | − | 0.221310i | ||||
\(801\) | 2.63370 | − | 1.91350i | 0.0930574 | − | 0.0676101i | ||||
\(802\) | 29.0024i | 1.02411i | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 32.2337 | 1.13679 | ||||||||
\(805\) | 1.90973 | + | 5.83233i | 0.0673090 | + | 0.205563i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 8.65717 | + | 2.81288i | 0.304747 | + | 0.0990182i | ||||
\(808\) | 21.1195 | − | 29.0685i | 0.742981 | − | 1.02263i | ||||
\(809\) | −26.4909 | − | 19.2468i | −0.931371 | − | 0.676680i | 0.0149573 | − | 0.999888i | \(-0.495239\pi\) |
−0.946328 | + | 0.323208i | \(0.895239\pi\) | |||||||
\(810\) | −12.3848 | + | 17.1280i | −0.435157 | + | 0.601818i | ||||
\(811\) | −0.0722135 | − | 0.222250i | −0.00253576 | − | 0.00780427i | 0.949781 | − | 0.312917i | \(-0.101306\pi\) |
−0.952316 | + | 0.305112i | \(0.901306\pi\) | |||||||
\(812\) | −77.8494 | − | 107.151i | −2.73198 | − | 3.76025i | ||||
\(813\) | 10.6873i | 0.374819i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 7.37228 | + | 2.37686i | 0.258240 | + | 0.0832578i | ||||
\(816\) | 6.47214 | − | 4.70228i | 0.226570 | − | 0.164613i | ||||
\(817\) | −13.1782 | + | 4.28187i | −0.461048 | + | 0.149803i | ||||
\(818\) | 65.9956 | + | 21.4433i | 2.30748 | + | 0.749746i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 69.0508 | − | 50.4089i | 2.41136 | − | 1.76036i | ||||
\(821\) | −5.56231 | + | 17.1190i | −0.194126 | + | 0.597458i | 0.805860 | + | 0.592106i | \(0.201703\pi\) |
−0.999986 | + | 0.00535152i | \(0.998297\pi\) | |||||||
\(822\) | −27.3024 | + | 8.87110i | −0.952282 | + | 0.309415i | ||||
\(823\) | 32.9352 | + | 45.3315i | 1.14805 | + | 1.58016i | 0.748053 | + | 0.663639i | \(0.230989\pi\) |
0.399997 | + | 0.916516i | \(0.369011\pi\) | |||||||
\(824\) | −62.2337 | −2.16801 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 64.4674 | 2.24311 | ||||||||
\(827\) | −16.7005 | − | 22.9862i | −0.580732 | − | 0.799309i | 0.413043 | − | 0.910711i | \(-0.364466\pi\) |
−0.993775 | + | 0.111402i | \(0.964466\pi\) | |||||||
\(828\) | −7.81561 | + | 2.53945i | −0.271611 | + | 0.0882519i | ||||
\(829\) | 6.28866 | − | 19.3545i | 0.218414 | − | 0.672210i | −0.780479 | − | 0.625182i | \(-0.785025\pi\) |
0.998894 | − | 0.0470282i | \(-0.0149751\pi\) | |||||||
\(830\) | 30.2410 | − | 22.0767i | 1.04968 | − | 0.766295i | ||||
\(831\) | −7.48781 | − | 5.44021i | −0.259749 | − | 0.188719i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 7.53510 | − | 2.44830i | 0.261076 | − | 0.0848286i | ||||
\(834\) | −26.2667 | + | 19.0838i | −0.909540 | + | 0.660819i | ||||
\(835\) | −33.4891 | − | 10.7971i | −1.15894 | − | 0.373648i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 14.3537i | 0.496138i | ||||||||
\(838\) | 34.0944 | + | 46.9269i | 1.17777 | + | 1.62106i | ||||
\(839\) | 3.12628 | + | 9.62169i | 0.107931 | + | 0.332178i | 0.990407 | − | 0.138180i | \(-0.0441251\pi\) |
−0.882476 | + | 0.470357i | \(0.844125\pi\) | |||||||
\(840\) | −21.5341 | + | 29.7815i | −0.742997 | + | 1.02756i | ||||
\(841\) | −38.4019 | − | 27.9006i | −1.32420 | − | 0.962090i | ||||
\(842\) | −12.6282 | + | 17.3812i | −0.435195 | + | 0.598995i | ||||
\(843\) | −0.384949 | − | 0.125078i | −0.0132583 | − | 0.00430790i | ||||
\(844\) | −2.01197 | − | 6.19221i | −0.0692549 | − | 0.213145i | ||||
\(845\) | 9.04568 | + | 27.6256i | 0.311181 | + | 0.950351i | ||||
\(846\) | −39.7228 | −1.36570 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | − | 64.3432i | − | 2.20955i | ||||||
\(849\) | −9.70820 | + | 7.05342i | −0.333185 | + | 0.242073i | ||||
\(850\) | 6.09369 | − | 19.0491i | 0.209012 | − | 0.653378i | ||||
\(851\) | −0.266189 | + | 0.819246i | −0.00912485 | + | 0.0280834i | ||||
\(852\) | 20.5994 | − | 28.3526i | 0.705723 | − | 0.971345i | ||||
\(853\) | −20.5994 | + | 28.3526i | −0.705310 | + | 0.970775i | 0.294576 | + | 0.955628i | \(0.404822\pi\) |
−0.999885 | + | 0.0151473i | \(0.995178\pi\) | |||||||
\(854\) | −2.01197 | + | 6.19221i | −0.0688482 | + | 0.211893i | ||||
\(855\) | −21.2183 | + | 0.0482964i | −0.725650 | + | 0.00165170i | ||||
\(856\) | −32.1364 | + | 23.3485i | −1.09840 | + | 0.798035i | ||||
\(857\) | − | 23.9538i | − | 0.818245i | −0.912480 | − | 0.409122i | \(-0.865835\pi\) | ||
0.912480 | − | 0.409122i | \(-0.134165\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 6.11684 | 0.208704 | 0.104352 | − | 0.994540i | \(-0.466723\pi\) | ||||
0.104352 | + | 0.994540i | \(0.466723\pi\) | |||||||
\(860\) | −32.1860 | + | 10.5389i | −1.09754 | + | 0.359375i | ||||
\(861\) | −7.41641 | − | 22.8254i | −0.252751 | − | 0.777886i | ||||
\(862\) | 61.7550 | + | 20.0654i | 2.10338 | + | 0.683431i | ||||
\(863\) | 1.68941 | − | 2.32527i | 0.0575082 | − | 0.0791532i | −0.779294 | − | 0.626658i | \(-0.784422\pi\) |
0.836802 | + | 0.547505i | \(0.184422\pi\) | |||||||
\(864\) | −14.1490 | − | 10.2798i | −0.481359 | − | 0.349728i | ||||
\(865\) | 11.1535 | − | 15.4252i | 0.379230 | − | 0.524472i | ||||
\(866\) | −22.7816 | − | 70.1146i | −0.774150 | − | 2.38259i | ||||
\(867\) | −6.74751 | − | 9.28715i | −0.229157 | − | 0.315408i | ||||
\(868\) | − | 51.0767i | − | 1.73365i | ||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −12.0000 | + | 37.2203i | −0.406838 | + | 1.26188i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 56.9534 | − | 18.5053i | 1.92869 | − | 0.626668i | ||||
\(873\) | 13.1782 | + | 4.28187i | 0.446015 | + | 0.144919i | ||||
\(874\) | −6.47214 | − | 4.70228i | −0.218923 | − | 0.159057i | ||||
\(875\) | 0.264465 | + | 38.7289i | 0.00894054 | + | 1.30928i | ||||
\(876\) | 7.41641 | − | 22.8254i | 0.250577 | − | 0.771197i | ||||
\(877\) | 0 | 0 | −0.309017 | − | 0.951057i | \(-0.600000\pi\) | ||||
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(878\) | −31.8849 | − | 43.8858i | −1.07606 | − | 1.48107i | ||||
\(879\) | 2.51087 | 0.0846897 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −6.86141 | −0.231167 | −0.115583 | − | 0.993298i | \(-0.536874\pi\) | ||||
−0.115583 | + | 0.993298i | \(0.536874\pi\) | |||||||
\(882\) | −17.5996 | − | 24.2237i | −0.592609 | − | 0.815656i | ||||
\(883\) | 23.0619 | − | 7.49326i | 0.776095 | − | 0.252168i | 0.105923 | − | 0.994374i | \(-0.466220\pi\) |
0.670172 | + | 0.742206i | \(0.266220\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −7.70097 | − | 10.5489i | −0.258865 | − | 0.354597i | ||||
\(886\) | −64.6862 | − | 46.9973i | −2.17317 | − | 1.57890i | ||||
\(887\) | −26.0759 | − | 8.47258i | −0.875544 | − | 0.284482i | −0.163438 | − | 0.986554i | \(-0.552258\pi\) |
−0.712106 | + | 0.702072i | \(0.752258\pi\) | |||||||
\(888\) | −4.90601 | + | 1.59406i | −0.164635 | + | 0.0534931i | ||||
\(889\) | −23.0306 | + | 16.7327i | −0.772421 | + | 0.561197i | ||||
\(890\) | 7.37228 | + | 2.37686i | 0.247119 | + | 0.0796726i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 10.3923i | − | 0.347960i | ||||||
\(893\) | −15.5957 | − | 21.4656i | −0.521890 | − | 0.718320i | ||||
\(894\) | 7.10067 | + | 21.8536i | 0.237482 | + | 0.730894i | ||||
\(895\) | 23.3049 | + | 16.8511i | 0.778998 | + | 0.563270i | ||||
\(896\) | −39.8133 | − | 28.9261i | −1.33007 | − | 0.966352i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 16.4728 | + | 5.35233i | 0.549704 | + | 0.178610i | ||||
\(899\) | −9.11264 | − | 28.0458i | −0.303924 | − | 0.935381i | ||||
\(900\) | −51.8609 | + | 0.236090i | −1.72870 | + | 0.00786965i | ||||
\(901\) | 16.0000 | 0.533037 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 9.50744i | 0.316388i | ||||||||
\(904\) | 2.40946 | − | 1.75057i | 0.0801373 | − | 0.0582232i | ||||
\(905\) | 53.9268 | − | 0.122747i | 1.79259 | − | 0.00408023i | ||||
\(906\) | −7.56083 | + | 23.2699i | −0.251192 | + | 0.773089i | ||||
\(907\) | −11.6968 | + | 16.0992i | −0.388385 | + | 0.534566i | −0.957782 | − | 0.287497i | \(-0.907177\pi\) |
0.569396 | + | 0.822063i | \(0.307177\pi\) | |||||||
\(908\) | −42.9970 | + | 59.1803i | −1.42691 | + | 1.96397i | ||||
\(909\) | 4.39845 | − | 13.5370i | 0.145887 | − | 0.448995i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 43.2736 | − | 31.4401i | 1.43372 | − | 1.04166i | 0.444410 | − | 0.895824i | \(-0.353413\pi\) |
0.989309 | − | 0.145834i | \(-0.0465865\pi\) | |||||||
\(912\) | − | 20.1947i | − | 0.668713i | ||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −52.4674 | −1.73547 | ||||||||
\(915\) | 1.25358 | − | 0.410470i | 0.0414421 | − | 0.0135697i | ||||
\(916\) | 19.7636 | + | 60.8262i | 0.653009 | + | 2.00976i | ||||
\(917\) | −9.04212 | − | 2.93796i | −0.298597 | − | 0.0970200i | ||||
\(918\) | 10.0074 | − | 13.7740i | 0.330292 | − | 0.454609i | ||||
\(919\) | −22.8415 | − | 16.5953i | −0.753473 | − | 0.547430i | 0.143429 | − | 0.989661i | \(-0.454187\pi\) |
−0.896901 | + | 0.442231i | \(0.854187\pi\) | |||||||
\(920\) | −8.59717 | − | 6.21636i | −0.283440 | − | 0.204947i | ||||
\(921\) | −7.73215 | − | 23.7971i | −0.254783 | − | 0.784141i | ||||
\(922\) | 3.31428 | + | 4.56171i | 0.109150 | + | 0.150232i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.17527 | + | 4.41248i | −0.104402 | + | 0.145081i | ||||
\(926\) | −61.4501 | + | 44.6461i | −2.01938 | + | 1.46716i | ||||
\(927\) | −23.4468 | + | 7.61834i | −0.770095 | + | 0.250219i | ||||
\(928\) | 34.1721 | + | 11.1032i | 1.12175 | + | 0.364480i | ||||
\(929\) | −5.68071 | − | 4.12728i | −0.186378 | − | 0.135412i | 0.490684 | − | 0.871338i | \(-0.336747\pi\) |
−0.677062 | + | 0.735926i | \(0.736747\pi\) | |||||||
\(930\) | −12.1808 | + | 8.89231i | −0.399425 | + | 0.291590i | ||||
\(931\) | 6.18034 | − | 19.0211i | 0.202552 | − | 0.623392i | ||||
\(932\) | 15.6312 | − | 5.07889i | 0.512018 | − | 0.166365i | ||||
\(933\) | −2.55626 | − | 3.51838i | −0.0836881 | − | 0.115187i | ||||
\(934\) | −19.4891 | −0.637704 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −31.5381 | − | 43.4085i | −1.03031 | − | 1.41810i | −0.904717 | − | 0.426013i | \(-0.859918\pi\) |
−0.125589 | − | 0.992082i | \(-0.540082\pi\) | |||||||
\(938\) | −77.3862 | + | 25.1443i | −2.52675 | + | 0.820991i | ||||
\(939\) | −5.35489 | + | 16.4807i | −0.174750 | + | 0.537826i | ||||
\(940\) | −38.2380 | − | 52.3790i | −1.24719 | − | 1.70841i | ||||
\(941\) | 47.3011 | + | 34.3663i | 1.54197 | + | 1.12031i | 0.949084 | + | 0.315023i | \(0.102012\pi\) |
0.592888 | + | 0.805285i | \(0.297988\pi\) | |||||||
\(942\) | −46.5087 | − | 15.1116i | −1.51534 | − | 0.492363i | ||||
\(943\) | 6.58911 | − | 2.14093i | 0.214571 | − | 0.0697184i | ||||
\(944\) | −38.0062 | + | 27.6131i | −1.23700 | + | 0.898731i | ||||
\(945\) | −10.1168 | + | 31.3793i | −0.329101 | + | 1.02077i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 26.7354i | − | 0.868783i | −0.900724 | − | 0.434392i | \(-0.856963\pi\) | ||
0.900724 | − | 0.434392i | \(-0.143037\pi\) | |||||||
\(948\) | −2.55626 | − | 3.51838i | −0.0830233 | − | 0.114272i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −29.8610 | − | 40.7091i | −0.968819 | − | 1.32078i | ||||
\(951\) | 21.1290 | + | 15.3511i | 0.685154 | + | 0.497793i | ||||
\(952\) | −19.3213 | + | 26.5934i | −0.626206 | + | 0.861898i | ||||
\(953\) | −29.7554 | − | 9.66813i | −0.963873 | − | 0.313181i | −0.215533 | − | 0.976497i | \(-0.569149\pi\) |
−0.748340 | + | 0.663315i | \(0.769149\pi\) | |||||||
\(954\) | −18.6854 | − | 57.5079i | −0.604964 | − | 1.86189i | ||||
\(955\) | −13.4797 | − | 41.1670i | −0.436191 | − | 1.33213i | ||||
\(956\) | −64.4674 | −2.08502 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 13.8564i | − | 0.447680i | ||||||
\(959\) | 40.2266 | − | 29.2263i | 1.29898 | − | 0.943768i | ||||
\(960\) | 0.00956616 | + | 4.20274i | 0.000308746 | + | 0.135643i | ||||
\(961\) | −6.06530 | + | 18.6671i | −0.195655 | + | 0.602164i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −9.24935 | + | 12.7306i | −0.298056 | + | 0.410239i | ||||
\(964\) | −22.6237 | + | 69.6287i | −0.728661 | + | 2.24259i | ||||
\(965\) | 0.0836519 | + | 36.7511i | 0.00269285 | + | 1.18306i | ||||
\(966\) | −4.44080 | + | 3.22643i | −0.142880 | + | 0.103809i | ||||
\(967\) | − | 26.4232i | − | 0.849713i | −0.905261 | − | 0.424856i | \(-0.860325\pi\) | ||
0.905261 | − | 0.424856i | \(-0.139675\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 5.02175 | 0.161322 | ||||||||
\(970\) | 10.2596 | + | 31.3329i | 0.329416 | + | 1.00604i | ||||
\(971\) | −2.81054 | − | 8.64995i | −0.0901945 | − | 0.277590i | 0.895777 | − | 0.444504i | \(-0.146620\pi\) |
−0.985972 | + | 0.166914i | \(0.946620\pi\) | |||||||
\(972\) | −65.4345 | − | 21.2610i | −2.09881 | − | 0.681946i | ||||
\(973\) | 33.0542 | − | 45.4952i | 1.05967 | − | 1.45851i | ||||
\(974\) | 14.5623 | + | 10.5801i | 0.466606 | + | 0.339009i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.46615 | − | 4.51235i | −0.0469303 | − | 0.144437i | ||||
\(977\) | 29.7298 | + | 40.9195i | 0.951140 | + | 1.30913i | 0.951019 | + | 0.309132i | \(0.100038\pi\) |
0.000120920 | 1.00000i | \(0.499962\pi\) | ||||||||
\(978\) | 6.92820i | 0.221540i | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 15.0000 | − | 46.5253i | 0.479157 | − | 1.48620i | ||||
\(981\) | 19.1922 | − | 13.9439i | 0.612758 | − | 0.445195i | ||||
\(982\) | 15.6312 | − | 5.07889i | 0.498813 | − | 0.162074i | ||||
\(983\) | 23.5349 | + | 7.64695i | 0.750646 | + | 0.243900i | 0.659259 | − | 0.751916i | \(-0.270870\pi\) |
0.0913870 | + | 0.995815i | \(0.470870\pi\) | |||||||
\(984\) | 33.5654 | + | 24.3867i | 1.07003 | + | 0.777419i | ||||
\(985\) | −11.2236 | − | 15.3743i | −0.357614 | − | 0.489864i | ||||
\(986\) | −10.8089 | + | 33.2663i | −0.344225 | + | 1.05941i | ||||
\(987\) | −17.3143 | + | 5.62577i | −0.551121 | + | 0.179070i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −2.74456 | −0.0872720 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 18.9783 | 0.602864 | 0.301432 | − | 0.953488i | \(-0.402535\pi\) | ||||
0.301432 | + | 0.953488i | \(0.402535\pi\) | |||||||
\(992\) | 8.14459 | + | 11.2101i | 0.258591 | + | 0.355920i | ||||
\(993\) | 10.6372 | − | 3.45623i | 0.337561 | − | 0.109680i | ||||
\(994\) | −27.3379 | + | 84.1375i | −0.867106 | + | 2.66868i | ||||
\(995\) | −14.4482 | + | 10.5475i | −0.458038 | + | 0.334379i | ||||
\(996\) | 18.5898 | + | 13.5063i | 0.589040 | + | 0.427963i | ||||
\(997\) | 2.06805 | + | 0.671952i | 0.0654959 | + | 0.0212809i | 0.341582 | − | 0.939852i | \(-0.389037\pi\) |
−0.276086 | + | 0.961133i | \(0.589037\pi\) | |||||||
\(998\) | 48.0158 | − | 15.6013i | 1.51991 | − | 0.493849i | ||||
\(999\) | −3.74390 | + | 2.72010i | −0.118452 | + | 0.0860603i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))