Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [867,2,Mod(688,867)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(867, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("867.688");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 867 = 3 \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 867.h (of order \(8\), 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: | \(6.92302985525\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{8})\) |
Coefficient field: | 16.0.1963501163244660295991296.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 1889x^{8} + 65536 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 51) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 712.1 | ||
Root | \(-1.44269 - 0.597580i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 867.712 |
Dual form | 867.2.h.j.688.1 |
$q$-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 \(\left(\mathbb{Z}/867\mathbb{Z}\right)^\times\).
\(n\) | \(290\) | \(292\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.10418 | − | 1.10418i | −0.780776 | − | 0.780776i | 0.199185 | − | 0.979962i | \(-0.436170\pi\) |
−0.979962 | + | 0.199185i | \(0.936170\pi\) | |||||||
\(3\) | −0.382683 | − | 0.923880i | −0.220942 | − | 0.533402i | ||||
\(4\) | 0.438447i | 0.219224i | ||||||||
\(5\) | −0.518807 | + | 0.214897i | −0.232018 | + | 0.0961048i | −0.495663 | − | 0.868515i | \(-0.665075\pi\) |
0.263646 | + | 0.964620i | \(0.415075\pi\) | |||||||
\(6\) | −0.597580 | + | 1.44269i | −0.243961 | + | 0.588974i | ||||
\(7\) | 0 | 0 | 0.382683 | − | 0.923880i | \(-0.375000\pi\) | ||||
−0.382683 | + | 0.923880i | \(0.625000\pi\) | |||||||
\(8\) | −1.72424 | + | 1.72424i | −0.609612 | + | 0.609612i | ||||
\(9\) | −0.707107 | + | 0.707107i | −0.235702 | + | 0.235702i | ||||
\(10\) | 0.810145 | + | 0.335573i | 0.256190 | + | 0.106117i | ||||
\(11\) | 0.980264 | − | 2.36657i | 0.295561 | − | 0.713547i | −0.704432 | − | 0.709771i | \(-0.748798\pi\) |
0.999993 | − | 0.00377529i | \(-0.00120171\pi\) | |||||||
\(12\) | 0.405072 | − | 0.167786i | 0.116934 | − | 0.0484358i | ||||
\(13\) | − | 4.56155i | − | 1.26515i | −0.774500 | − | 0.632574i | \(-0.781999\pi\) | ||
0.774500 | − | 0.632574i | \(-0.218001\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.397078 | + | 0.397078i | 0.102525 | + | 0.102525i | ||||
\(16\) | 4.68466 | 1.17116 | ||||||||
\(17\) | 0 | 0 | ||||||||
\(18\) | 1.56155 | 0.368062 | ||||||||
\(19\) | −5.43387 | − | 5.43387i | −1.24662 | − | 1.24662i | −0.957205 | − | 0.289411i | \(-0.906540\pi\) |
−0.289411 | − | 0.957205i | \(-0.593460\pi\) | |||||||
\(20\) | −0.0942210 | − | 0.227470i | −0.0210684 | − | 0.0508637i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.69552 | + | 1.53073i | −0.787887 | + | 0.326354i | ||||
\(23\) | −2.51100 | + | 6.06208i | −0.523579 | + | 1.26403i | 0.412087 | + | 0.911145i | \(0.364800\pi\) |
−0.935666 | + | 0.352887i | \(0.885200\pi\) | |||||||
\(24\) | 2.25283 | + | 0.933153i | 0.459857 | + | 0.190479i | ||||
\(25\) | −3.31255 | + | 3.31255i | −0.662511 | + | 0.662511i | ||||
\(26\) | −5.03680 | + | 5.03680i | −0.987797 | + | 0.987797i | ||||
\(27\) | 0.923880 | + | 0.382683i | 0.177801 | + | 0.0736475i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −7.61851 | + | 3.15569i | −1.41472 | + | 0.585997i | −0.953528 | − | 0.301303i | \(-0.902578\pi\) |
−0.461193 | + | 0.887300i | \(0.652578\pi\) | |||||||
\(30\) | − | 0.876894i | − | 0.160098i | ||||||
\(31\) | 1.96053 | + | 4.73313i | 0.352121 | + | 0.850096i | 0.996358 | + | 0.0852696i | \(0.0271751\pi\) |
−0.644237 | + | 0.764826i | \(0.722825\pi\) | |||||||
\(32\) | −1.72424 | − | 1.72424i | −0.304806 | − | 0.304806i | ||||
\(33\) | −2.56155 | −0.445909 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.310029 | − | 0.310029i | −0.0516715 | − | 0.0516715i | ||||
\(37\) | 1.19516 | + | 2.88537i | 0.196483 | + | 0.474352i | 0.991159 | − | 0.132682i | \(-0.0423589\pi\) |
−0.794675 | + | 0.607035i | \(0.792359\pi\) | |||||||
\(38\) | 12.0000i | 1.94666i | ||||||||
\(39\) | −4.21433 | + | 1.74563i | −0.674832 | + | 0.279525i | ||||
\(40\) | 0.524015 | − | 1.26508i | 0.0828540 | − | 0.200027i | ||||
\(41\) | 0.518807 | + | 0.214897i | 0.0810241 | + | 0.0335613i | 0.422827 | − | 0.906210i | \(-0.361038\pi\) |
−0.341803 | + | 0.939772i | \(0.611038\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.43387 | − | 5.43387i | 0.828658 | − | 0.828658i | −0.158673 | − | 0.987331i | \(-0.550722\pi\) |
0.987331 | + | 0.158673i | \(0.0507216\pi\) | |||||||
\(44\) | 1.03761 | + | 0.429794i | 0.156426 | + | 0.0647939i | ||||
\(45\) | 0.214897 | − | 0.518807i | 0.0320349 | − | 0.0773392i | ||||
\(46\) | 9.46626 | − | 3.92106i | 1.39572 | − | 0.578128i | ||||
\(47\) | 2.87689i | 0.419638i | 0.977740 | + | 0.209819i | \(0.0672875\pi\) | ||||
−0.977740 | + | 0.209819i | \(0.932712\pi\) | |||||||
\(48\) | −1.79274 | − | 4.32806i | −0.258760 | − | 0.624702i | ||||
\(49\) | −4.94975 | − | 4.94975i | −0.707107 | − | 0.707107i | ||||
\(50\) | 7.31534 | 1.03455 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.00000 | 0.277350 | ||||||||
\(53\) | 3.00252 | + | 3.00252i | 0.412428 | + | 0.412428i | 0.882584 | − | 0.470155i | \(-0.155802\pi\) |
−0.470155 | + | 0.882584i | \(0.655802\pi\) | |||||||
\(54\) | −0.597580 | − | 1.44269i | −0.0813204 | − | 0.196325i | ||||
\(55\) | 1.43845i | 0.193960i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.94079 | + | 7.09970i | −0.389517 | + | 0.940378i | ||||
\(58\) | 11.8967 | + | 4.92777i | 1.56211 | + | 0.647048i | ||||
\(59\) | −0.794156 | + | 0.794156i | −0.103390 | + | 0.103390i | −0.756910 | − | 0.653519i | \(-0.773292\pi\) |
0.653519 | + | 0.756910i | \(0.273292\pi\) | |||||||
\(60\) | −0.174098 | + | 0.174098i | −0.0224759 | + | 0.0224759i | ||||
\(61\) | −0.810145 | − | 0.335573i | −0.103728 | − | 0.0429657i | 0.330216 | − | 0.943905i | \(-0.392878\pi\) |
−0.433944 | + | 0.900940i | \(0.642878\pi\) | |||||||
\(62\) | 3.06147 | − | 7.39104i | 0.388807 | − | 0.938663i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 5.56155i | − | 0.695194i | ||||||
\(65\) | 0.980264 | + | 2.36657i | 0.121587 | + | 0.293536i | ||||
\(66\) | 2.82843 | + | 2.82843i | 0.348155 | + | 0.348155i | ||||
\(67\) | −4.00000 | −0.488678 | −0.244339 | − | 0.969690i | \(-0.578571\pi\) | ||||
−0.244339 | + | 0.969690i | \(0.578571\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 6.56155 | 0.789918 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.92106 | + | 9.46626i | 0.465344 | + | 1.12344i | 0.966173 | + | 0.257893i | \(0.0830283\pi\) |
−0.500830 | + | 0.865546i | \(0.666972\pi\) | |||||||
\(72\) | − | 2.43845i | − | 0.287374i | ||||||
\(73\) | 3.92299 | − | 1.62495i | 0.459151 | − | 0.190187i | −0.141105 | − | 0.989995i | \(-0.545065\pi\) |
0.600256 | + | 0.799808i | \(0.295065\pi\) | |||||||
\(74\) | 1.86631 | − | 4.50566i | 0.216954 | − | 0.523773i | ||||
\(75\) | 4.32806 | + | 1.79274i | 0.499761 | + | 0.207008i | ||||
\(76\) | 2.38247 | − | 2.38247i | 0.273288 | − | 0.273288i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 6.58089 | + | 2.72589i | 0.745139 | + | 0.308647i | ||||
\(79\) | −5.88158 | + | 14.1994i | −0.661730 | + | 1.59756i | 0.133362 | + | 0.991067i | \(0.457423\pi\) |
−0.795091 | + | 0.606490i | \(0.792577\pi\) | |||||||
\(80\) | −2.43043 | + | 1.00672i | −0.271731 | + | 0.112555i | ||||
\(81\) | − | 1.00000i | − | 0.111111i | ||||||
\(82\) | −0.335573 | − | 0.810145i | −0.0370578 | − | 0.0894655i | ||||
\(83\) | −6.45101 | − | 6.45101i | −0.708090 | − | 0.708090i | 0.258043 | − | 0.966133i | \(-0.416922\pi\) |
−0.966133 | + | 0.258043i | \(0.916922\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −12.0000 | −1.29399 | ||||||||
\(87\) | 5.83095 | + | 5.83095i | 0.625144 | + | 0.625144i | ||||
\(88\) | 2.39032 | + | 5.77075i | 0.254809 | + | 0.615164i | ||||
\(89\) | 7.12311i | 0.755048i | 0.926000 | + | 0.377524i | \(0.123224\pi\) | ||||
−0.926000 | + | 0.377524i | \(0.876776\pi\) | |||||||
\(90\) | −0.810145 | + | 0.335573i | −0.0853968 | + | 0.0353725i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −2.65790 | − | 1.10094i | −0.277106 | − | 0.114781i | ||||
\(93\) | 3.62258 | − | 3.62258i | 0.375644 | − | 0.375644i | ||||
\(94\) | 3.17662 | − | 3.17662i | 0.327644 | − | 0.327644i | ||||
\(95\) | 3.98686 | + | 1.65141i | 0.409043 | + | 0.169431i | ||||
\(96\) | −0.933153 | + | 2.25283i | −0.0952396 | + | 0.229929i | ||||
\(97\) | 10.2764 | − | 4.25663i | 1.04341 | − | 0.432195i | 0.205876 | − | 0.978578i | \(-0.433996\pi\) |
0.837535 | + | 0.546383i | \(0.183996\pi\) | |||||||
\(98\) | 10.9309i | 1.10418i | ||||||||
\(99\) | 0.980264 | + | 2.36657i | 0.0985202 | + | 0.237849i | ||||
\(100\) | −1.45238 | − | 1.45238i | −0.145238 | − | 0.145238i | ||||
\(101\) | −19.1231 | −1.90282 | −0.951410 | − | 0.307927i | \(-0.900365\pi\) | ||||
−0.951410 | + | 0.307927i | \(0.900365\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.31534 | 0.425203 | 0.212602 | − | 0.977139i | \(-0.431806\pi\) | ||||
0.212602 | + | 0.977139i | \(0.431806\pi\) | |||||||
\(104\) | 7.86522 | + | 7.86522i | 0.771249 | + | 0.771249i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | − | 6.63068i | − | 0.644029i | ||||||
\(107\) | 7.09970 | − | 2.94079i | 0.686354 | − | 0.284297i | −0.0121264 | − | 0.999926i | \(-0.503860\pi\) |
0.698480 | + | 0.715629i | \(0.253860\pi\) | |||||||
\(108\) | −0.167786 | + | 0.405072i | −0.0161453 | + | 0.0389781i | ||||
\(109\) | −13.9719 | − | 5.78736i | −1.33827 | − | 0.554329i | −0.405266 | − | 0.914199i | \(-0.632821\pi\) |
−0.933002 | + | 0.359870i | \(0.882821\pi\) | |||||||
\(110\) | 1.58831 | − | 1.58831i | 0.151440 | − | 0.151440i | ||||
\(111\) | 2.20837 | − | 2.20837i | 0.209609 | − | 0.209609i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.74563 | − | 4.21433i | 0.164215 | − | 0.396450i | −0.820256 | − | 0.571996i | \(-0.806169\pi\) |
0.984471 | + | 0.175546i | \(0.0561691\pi\) | |||||||
\(114\) | 11.0866 | − | 4.59220i | 1.03835 | − | 0.430099i | ||||
\(115\) | − | 3.68466i | − | 0.343596i | ||||||
\(116\) | −1.38360 | − | 3.34031i | −0.128464 | − | 0.310140i | ||||
\(117\) | 3.22550 | + | 3.22550i | 0.298198 | + | 0.298198i | ||||
\(118\) | 1.75379 | 0.161449 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −1.36932 | −0.125001 | ||||||||
\(121\) | 3.13846 | + | 3.13846i | 0.285314 | + | 0.285314i | ||||
\(122\) | 0.524015 | + | 1.26508i | 0.0474421 | + | 0.114535i | ||||
\(123\) | − | 0.561553i | − | 0.0506335i | ||||||
\(124\) | −2.07523 | + | 0.859588i | −0.186361 | + | 0.0771933i | ||||
\(125\) | 2.08120 | − | 5.02447i | 0.186149 | − | 0.449402i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.571175 | + | 0.571175i | −0.0506836 | + | 0.0506836i | −0.731994 | − | 0.681311i | \(-0.761410\pi\) |
0.681311 | + | 0.731994i | \(0.261410\pi\) | |||||||
\(128\) | −9.58947 | + | 9.58947i | −0.847597 | + | 0.847597i | ||||
\(129\) | −7.09970 | − | 2.94079i | −0.625094 | − | 0.258922i | ||||
\(130\) | 1.53073 | − | 3.69552i | 0.134254 | − | 0.324118i | ||||
\(131\) | −17.1486 | + | 7.10320i | −1.49828 | + | 0.620609i | −0.973101 | − | 0.230380i | \(-0.926003\pi\) |
−0.525183 | + | 0.850989i | \(0.676003\pi\) | |||||||
\(132\) | − | 1.12311i | − | 0.0977538i | ||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 4.41674 | + | 4.41674i | 0.381548 | + | 0.381548i | ||||
\(135\) | −0.561553 | −0.0483308 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −16.2462 | −1.38801 | −0.694004 | − | 0.719971i | \(-0.744155\pi\) | ||||
−0.694004 | + | 0.719971i | \(0.744155\pi\) | |||||||
\(138\) | −7.24517 | − | 7.24517i | −0.616749 | − | 0.616749i | ||||
\(139\) | −3.49126 | − | 8.42865i | −0.296125 | − | 0.714909i | −0.999990 | − | 0.00457466i | \(-0.998544\pi\) |
0.703865 | − | 0.710334i | \(-0.251456\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.65790 | − | 1.10094i | 0.223836 | − | 0.0927159i | ||||
\(142\) | 6.12293 | − | 14.7821i | 0.513825 | − | 1.24048i | ||||
\(143\) | −10.7952 | − | 4.47153i | −0.902741 | − | 0.373928i | ||||
\(144\) | −3.31255 | + | 3.31255i | −0.276046 | + | 0.276046i | ||||
\(145\) | 3.27439 | − | 3.27439i | 0.271923 | − | 0.271923i | ||||
\(146\) | −6.12595 | − | 2.53745i | −0.506987 | − | 0.210001i | ||||
\(147\) | −2.67878 | + | 6.46716i | −0.220942 | + | 0.533402i | ||||
\(148\) | −1.26508 | + | 0.524015i | −0.103989 | + | 0.0430738i | ||||
\(149\) | 4.24621i | 0.347863i | 0.984758 | + | 0.173932i | \(0.0556472\pi\) | ||||
−0.984758 | + | 0.173932i | \(0.944353\pi\) | |||||||
\(150\) | −2.79946 | − | 6.75849i | −0.228575 | − | 0.551829i | ||||
\(151\) | 5.65685 | + | 5.65685i | 0.460348 | + | 0.460348i | 0.898770 | − | 0.438421i | \(-0.144462\pi\) |
−0.438421 | + | 0.898770i | \(0.644462\pi\) | |||||||
\(152\) | 18.7386 | 1.51990 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.03427 | − | 2.03427i | −0.163397 | − | 0.163397i | ||||
\(156\) | −0.765367 | − | 1.84776i | −0.0612784 | − | 0.147939i | ||||
\(157\) | − | 5.68466i | − | 0.453685i | −0.973931 | − | 0.226843i | \(-0.927160\pi\) | ||
0.973931 | − | 0.226843i | \(-0.0728403\pi\) | |||||||
\(158\) | 22.1731 | − | 9.18440i | 1.76400 | − | 0.730672i | ||||
\(159\) | 1.62495 | − | 3.92299i | 0.128867 | − | 0.311113i | ||||
\(160\) | 1.26508 | + | 0.524015i | 0.100014 | + | 0.0414270i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −1.10418 | + | 1.10418i | −0.0867529 | + | 0.0867529i | ||||
\(163\) | 6.35342 | + | 2.63167i | 0.497638 | + | 0.206129i | 0.617363 | − | 0.786679i | \(-0.288201\pi\) |
−0.119724 | + | 0.992807i | \(0.538201\pi\) | |||||||
\(164\) | −0.0942210 | + | 0.227470i | −0.00735742 | + | 0.0177624i | ||||
\(165\) | 1.32895 | − | 0.550470i | 0.103459 | − | 0.0428540i | ||||
\(166\) | 14.2462i | 1.10572i | ||||||||
\(167\) | 0.309118 | + | 0.746277i | 0.0239203 | + | 0.0577486i | 0.935388 | − | 0.353622i | \(-0.115050\pi\) |
−0.911468 | + | 0.411371i | \(0.865050\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.80776 | −0.600597 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 7.68466 | 0.587661 | ||||||||
\(172\) | 2.38247 | + | 2.38247i | 0.181661 | + | 0.181661i | ||||
\(173\) | −7.19742 | − | 17.3761i | −0.547210 | − | 1.32108i | −0.919546 | − | 0.392983i | \(-0.871443\pi\) |
0.372336 | − | 0.928098i | \(-0.378557\pi\) | |||||||
\(174\) | − | 12.8769i | − | 0.976195i | ||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 4.59220 | − | 11.0866i | 0.346150 | − | 0.835680i | ||||
\(177\) | 1.03761 | + | 0.429794i | 0.0779919 | + | 0.0323053i | ||||
\(178\) | 7.86522 | − | 7.86522i | 0.589523 | − | 0.589523i | ||||
\(179\) | 6.45101 | − | 6.45101i | 0.482171 | − | 0.482171i | −0.423653 | − | 0.905824i | \(-0.639253\pi\) |
0.905824 | + | 0.423653i | \(0.139253\pi\) | |||||||
\(180\) | 0.227470 | + | 0.0942210i | 0.0169546 | + | 0.00702282i | ||||
\(181\) | −2.29610 | + | 5.54328i | −0.170668 | + | 0.412029i | −0.985951 | − | 0.167034i | \(-0.946581\pi\) |
0.815283 | + | 0.579062i | \(0.196581\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.876894i | 0.0648219i | ||||||||
\(184\) | −6.12293 | − | 14.7821i | −0.451389 | − | 1.08975i | ||||
\(185\) | −1.24012 | − | 1.24012i | −0.0911751 | − | 0.0911751i | ||||
\(186\) | −8.00000 | −0.586588 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −1.26137 | −0.0919946 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.57876 | − | 6.22569i | −0.187083 | − | 0.451659i | ||||
\(191\) | − | 13.1231i | − | 0.949555i | −0.880106 | − | 0.474777i | \(-0.842529\pi\) | ||
0.880106 | − | 0.474777i | \(-0.157471\pi\) | |||||||
\(192\) | −5.13820 | + | 2.12831i | −0.370818 | + | 0.153598i | ||||
\(193\) | −9.27862 | + | 22.4006i | −0.667890 | + | 1.61243i | 0.117244 | + | 0.993103i | \(0.462594\pi\) |
−0.785134 | + | 0.619326i | \(0.787406\pi\) | |||||||
\(194\) | −16.0472 | − | 6.64695i | −1.15212 | − | 0.477223i | ||||
\(195\) | 1.81129 | − | 1.81129i | 0.129709 | − | 0.129709i | ||||
\(196\) | 2.17020 | − | 2.17020i | 0.155014 | − | 0.155014i | ||||
\(197\) | −18.4137 | − | 7.62721i | −1.31192 | − | 0.543416i | −0.386478 | − | 0.922298i | \(-0.626309\pi\) |
−0.925445 | + | 0.378882i | \(0.876309\pi\) | |||||||
\(198\) | 1.53073 | − | 3.69552i | 0.108785 | − | 0.262629i | ||||
\(199\) | −14.7821 | + | 6.12293i | −1.04787 | + | 0.434043i | −0.839132 | − | 0.543928i | \(-0.816937\pi\) |
−0.208741 | + | 0.977971i | \(0.566937\pi\) | |||||||
\(200\) | − | 11.4233i | − | 0.807749i | ||||||
\(201\) | 1.53073 | + | 3.69552i | 0.107970 | + | 0.260662i | ||||
\(202\) | 21.1154 | + | 21.1154i | 1.48568 | + | 1.48568i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.315342 | −0.0220244 | ||||||||
\(206\) | −4.76493 | − | 4.76493i | −0.331989 | − | 0.331989i | ||||
\(207\) | −2.51100 | − | 6.06208i | −0.174526 | − | 0.421344i | ||||
\(208\) | − | 21.3693i | − | 1.48170i | ||||||
\(209\) | −18.1863 | + | 7.53299i | −1.25797 | + | 0.521068i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.5039 | − | 4.35085i | −0.723117 | − | 0.299525i | −0.00939678 | − | 0.999956i | \(-0.502991\pi\) |
−0.713720 | + | 0.700431i | \(0.752991\pi\) | |||||||
\(212\) | −1.31645 | + | 1.31645i | −0.0904141 | + | 0.0904141i | ||||
\(213\) | 7.24517 | − | 7.24517i | 0.496431 | − | 0.496431i | ||||
\(214\) | −11.0866 | − | 4.59220i | −0.757861 | − | 0.313916i | ||||
\(215\) | −1.65141 | + | 3.98686i | −0.112625 | + | 0.271901i | ||||
\(216\) | −2.25283 | + | 0.933153i | −0.153286 | + | 0.0634930i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 9.03727 | + | 21.8179i | 0.612081 | + | 1.47769i | ||||
\(219\) | −3.00252 | − | 3.00252i | −0.202892 | − | 0.202892i | ||||
\(220\) | −0.630683 | −0.0425206 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −4.87689 | −0.327316 | ||||||||
\(223\) | −9.85061 | − | 9.85061i | −0.659646 | − | 0.659646i | 0.295650 | − | 0.955296i | \(-0.404464\pi\) |
−0.955296 | + | 0.295650i | \(0.904464\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | − | 4.68466i | − | 0.312311i | ||||||
\(226\) | −6.58089 | + | 2.72589i | −0.437754 | + | 0.181324i | ||||
\(227\) | 8.82237 | − | 21.2991i | 0.585562 | − | 1.41367i | −0.302145 | − | 0.953262i | \(-0.597703\pi\) |
0.887707 | − | 0.460409i | \(-0.152297\pi\) | |||||||
\(228\) | −3.11284 | − | 1.28938i | −0.206153 | − | 0.0853914i | ||||
\(229\) | 4.24264 | − | 4.24264i | 0.280362 | − | 0.280362i | −0.552892 | − | 0.833253i | \(-0.686476\pi\) |
0.833253 | + | 0.552892i | \(0.186476\pi\) | |||||||
\(230\) | −4.06854 | + | 4.06854i | −0.268272 | + | 0.268272i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 7.69498 | − | 18.5773i | 0.505200 | − | 1.21966i | ||||
\(233\) | −0.518807 | + | 0.214897i | −0.0339882 | + | 0.0140784i | −0.399613 | − | 0.916684i | \(-0.630855\pi\) |
0.365625 | + | 0.930762i | \(0.380855\pi\) | |||||||
\(234\) | − | 7.12311i | − | 0.465652i | ||||||
\(235\) | −0.618236 | − | 1.49255i | −0.0403293 | − | 0.0973634i | ||||
\(236\) | −0.348195 | − | 0.348195i | −0.0226656 | − | 0.0226656i | ||||
\(237\) | 15.3693 | 0.998344 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 10.2462 | 0.662772 | 0.331386 | − | 0.943495i | \(-0.392484\pi\) | ||||
0.331386 | + | 0.943495i | \(0.392484\pi\) | |||||||
\(240\) | 1.86017 | + | 1.86017i | 0.120074 | + | 0.120074i | ||||
\(241\) | −8.17768 | − | 19.7427i | −0.526771 | − | 1.27174i | −0.933627 | − | 0.358245i | \(-0.883375\pi\) |
0.406857 | − | 0.913492i | \(-0.366625\pi\) | |||||||
\(242\) | − | 6.93087i | − | 0.445533i | ||||||
\(243\) | −0.923880 | + | 0.382683i | −0.0592669 | + | 0.0245492i | ||||
\(244\) | 0.147131 | − | 0.355206i | 0.00941910 | − | 0.0227397i | ||||
\(245\) | 3.63165 | + | 1.50428i | 0.232018 | + | 0.0961048i | ||||
\(246\) | −0.620058 | + | 0.620058i | −0.0395335 | + | 0.0395335i | ||||
\(247\) | −24.7869 | + | 24.7869i | −1.57715 | + | 1.57715i | ||||
\(248\) | −11.5415 | − | 4.78064i | −0.732886 | − | 0.303571i | ||||
\(249\) | −3.49126 | + | 8.42865i | −0.221250 | + | 0.534144i | ||||
\(250\) | −7.84598 | + | 3.24991i | −0.496223 | + | 0.205542i | ||||
\(251\) | 24.4924i | 1.54595i | 0.634438 | + | 0.772974i | \(0.281232\pi\) | ||||
−0.634438 | + | 0.772974i | \(0.718768\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 11.8849 | + | 11.8849i | 0.747196 | + | 0.747196i | ||||
\(254\) | 1.26137 | 0.0791452 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 10.0540 | 0.628373 | ||||||||
\(257\) | −6.62511 | − | 6.62511i | −0.413263 | − | 0.413263i | 0.469611 | − | 0.882874i | \(-0.344394\pi\) |
−0.882874 | + | 0.469611i | \(0.844394\pi\) | |||||||
\(258\) | 4.59220 | + | 11.0866i | 0.285898 | + | 0.690219i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −1.03761 | + | 0.429794i | −0.0643501 | + | 0.0266547i | ||||
\(261\) | 3.15569 | − | 7.61851i | 0.195332 | − | 0.471574i | ||||
\(262\) | 26.7785 | + | 11.0920i | 1.65438 | + | 0.685267i | ||||
\(263\) | 8.83348 | − | 8.83348i | 0.544696 | − | 0.544696i | −0.380206 | − | 0.924902i | \(-0.624147\pi\) |
0.924902 | + | 0.380206i | \(0.124147\pi\) | |||||||
\(264\) | 4.41674 | − | 4.41674i | 0.271831 | − | 0.271831i | ||||
\(265\) | −2.20296 | − | 0.912498i | −0.135327 | − | 0.0560543i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 6.58089 | − | 2.72589i | 0.402744 | − | 0.166822i | ||||
\(268\) | − | 1.75379i | − | 0.107130i | ||||||
\(269\) | −7.86857 | − | 18.9964i | −0.479755 | − | 1.15823i | −0.959724 | − | 0.280945i | \(-0.909352\pi\) |
0.479969 | − | 0.877286i | \(-0.340648\pi\) | |||||||
\(270\) | 0.620058 | + | 0.620058i | 0.0377355 | + | 0.0377355i | ||||
\(271\) | 0.807764 | 0.0490682 | 0.0245341 | − | 0.999699i | \(-0.492190\pi\) | ||||
0.0245341 | + | 0.999699i | \(0.492190\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 17.9388 | + | 17.9388i | 1.08372 | + | 1.08372i | ||||
\(275\) | 4.59220 | + | 11.0866i | 0.276920 | + | 0.668544i | ||||
\(276\) | 2.87689i | 0.173169i | ||||||||
\(277\) | 5.54328 | − | 2.29610i | 0.333063 | − | 0.137959i | −0.209884 | − | 0.977726i | \(-0.567309\pi\) |
0.542947 | + | 0.839767i | \(0.317309\pi\) | |||||||
\(278\) | −5.45179 | + | 13.1618i | −0.326977 | + | 0.789391i | ||||
\(279\) | −4.73313 | − | 1.96053i | −0.283365 | − | 0.117374i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 13.5221 | − | 13.5221i | 0.806660 | − | 0.806660i | −0.177467 | − | 0.984127i | \(-0.556790\pi\) |
0.984127 | + | 0.177467i | \(0.0567904\pi\) | |||||||
\(282\) | −4.15046 | − | 1.71918i | −0.247156 | − | 0.102375i | ||||
\(283\) | 1.28938 | − | 3.11284i | 0.0766458 | − | 0.185039i | −0.880912 | − | 0.473279i | \(-0.843070\pi\) |
0.957558 | + | 0.288240i | \(0.0930701\pi\) | |||||||
\(284\) | −4.15046 | + | 1.71918i | −0.246284 | + | 0.102014i | ||||
\(285\) | − | 4.31534i | − | 0.255619i | ||||||
\(286\) | 6.98252 | + | 16.8573i | 0.412885 | + | 0.996793i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 2.43845 | 0.143687 | ||||||||
\(289\) | 0 | 0 | ||||||||
\(290\) | −7.23106 | −0.424622 | ||||||||
\(291\) | −7.86522 | − | 7.86522i | −0.461068 | − | 0.461068i | ||||
\(292\) | 0.712457 | + | 1.72002i | 0.0416934 | + | 0.100657i | ||||
\(293\) | − | 7.12311i | − | 0.416136i | −0.978114 | − | 0.208068i | \(-0.933282\pi\) | ||
0.978114 | − | 0.208068i | \(-0.0667176\pi\) | |||||||
\(294\) | 10.0988 | − | 4.18306i | 0.588974 | − | 0.243961i | ||||
\(295\) | 0.241352 | − | 0.582675i | 0.0140521 | − | 0.0339247i | ||||
\(296\) | −7.03583 | − | 2.91434i | −0.408949 | − | 0.169392i | ||||
\(297\) | 1.81129 | − | 1.81129i | 0.105102 | − | 0.105102i | ||||
\(298\) | 4.68860 | − | 4.68860i | 0.271603 | − | 0.271603i | ||||
\(299\) | 27.6525 | + | 11.4540i | 1.59919 | + | 0.662405i | ||||
\(300\) | −0.786022 | + | 1.89763i | −0.0453810 | + | 0.109559i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | − | 12.4924i | − | 0.718858i | ||||||
\(303\) | 7.31810 | + | 17.6674i | 0.420414 | + | 1.01497i | ||||
\(304\) | −25.4558 | − | 25.4558i | −1.45999 | − | 1.45999i | ||||
\(305\) | 0.492423 | 0.0281960 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.492423 | −0.0281040 | −0.0140520 | − | 0.999901i | \(-0.504473\pi\) | ||||
−0.0140520 | + | 0.999901i | \(0.504473\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.65141 | − | 3.98686i | −0.0939454 | − | 0.226804i | ||||
\(310\) | 4.49242i | 0.255152i | ||||||||
\(311\) | 0 | 0 | −0.382683 | − | 0.923880i | \(-0.625000\pi\) | ||||
0.382683 | + | 0.923880i | \(0.375000\pi\) | |||||||
\(312\) | 4.25663 | − | 10.2764i | 0.240984 | − | 0.581787i | ||||
\(313\) | −7.03583 | − | 2.91434i | −0.397689 | − | 0.164728i | 0.174871 | − | 0.984591i | \(-0.444049\pi\) |
−0.572559 | + | 0.819863i | \(0.694049\pi\) | |||||||
\(314\) | −6.27691 | + | 6.27691i | −0.354227 | + | 0.354227i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.22569 | − | 2.57876i | −0.350222 | − | 0.145067i | ||||
\(317\) | 6.88830 | − | 16.6298i | 0.386886 | − | 0.934024i | −0.603710 | − | 0.797204i | \(-0.706312\pi\) |
0.990596 | − | 0.136821i | \(-0.0436884\pi\) | |||||||
\(318\) | −6.12595 | + | 2.53745i | −0.343526 | + | 0.142293i | ||||
\(319\) | 21.1231i | 1.18267i | ||||||||
\(320\) | 1.19516 | + | 2.88537i | 0.0668115 | + | 0.161297i | ||||
\(321\) | −5.43387 | − | 5.43387i | −0.303289 | − | 0.303289i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0.438447 | 0.0243582 | ||||||||
\(325\) | 15.1104 | + | 15.1104i | 0.838174 | + | 0.838174i | ||||
\(326\) | −4.10950 | − | 9.92120i | −0.227604 | − | 0.549485i | ||||
\(327\) | 15.1231i | 0.836310i | ||||||||
\(328\) | −1.26508 | + | 0.524015i | −0.0698526 | + | 0.0289339i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −2.07523 | − | 0.859588i | −0.114238 | − | 0.0473188i | ||||
\(331\) | −4.29152 | + | 4.29152i | −0.235883 | + | 0.235883i | −0.815143 | − | 0.579260i | \(-0.803342\pi\) |
0.579260 | + | 0.815143i | \(0.303342\pi\) | |||||||
\(332\) | 2.82843 | − | 2.82843i | 0.155230 | − | 0.155230i | ||||
\(333\) | −2.88537 | − | 1.19516i | −0.158117 | − | 0.0654944i | ||||
\(334\) | 0.482704 | − | 1.16535i | 0.0264124 | − | 0.0637651i | ||||
\(335\) | 2.07523 | − | 0.859588i | 0.113382 | − | 0.0469643i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.5285 | − | 30.2466i | −0.682473 | − | 1.64763i | −0.759421 | − | 0.650600i | \(-0.774518\pi\) |
0.0769482 | − | 0.997035i | \(-0.475482\pi\) | |||||||
\(338\) | 8.62121 | + | 8.62121i | 0.468932 | + | 0.468932i | ||||
\(339\) | −4.56155 | −0.247750 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 13.1231 | 0.710656 | ||||||||
\(342\) | −8.48528 | − | 8.48528i | −0.458831 | − | 0.458831i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 18.7386i | 1.01032i | ||||||||
\(345\) | −3.40418 | + | 1.41006i | −0.183275 | + | 0.0759150i | ||||
\(346\) | −11.2392 | + | 27.1337i | −0.604221 | + | 1.45872i | ||||
\(347\) | 22.6280 | + | 9.37284i | 1.21474 | + | 0.503161i | 0.895733 | − | 0.444593i | \(-0.146652\pi\) |
0.319004 | + | 0.947753i | \(0.396652\pi\) | |||||||
\(348\) | −2.55656 | + | 2.55656i | −0.137046 | + | 0.137046i | ||||
\(349\) | −5.25978 | + | 5.25978i | −0.281549 | + | 0.281549i | −0.833727 | − | 0.552177i | \(-0.813797\pi\) |
0.552177 | + | 0.833727i | \(0.313797\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.74563 | − | 4.21433i | 0.0931749 | − | 0.224944i | ||||
\(352\) | −5.77075 | + | 2.39032i | −0.307582 | + | 0.127405i | ||||
\(353\) | − | 22.4924i | − | 1.19715i | −0.801066 | − | 0.598575i | \(-0.795734\pi\) | ||
0.801066 | − | 0.598575i | \(-0.204266\pi\) | |||||||
\(354\) | −0.671146 | − | 1.62029i | −0.0356710 | − | 0.0861174i | ||||
\(355\) | −4.06854 | − | 4.06854i | −0.215936 | − | 0.215936i | ||||
\(356\) | −3.12311 | −0.165524 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −14.2462 | −0.752936 | ||||||||
\(359\) | 1.58831 | + | 1.58831i | 0.0838279 | + | 0.0838279i | 0.747777 | − | 0.663950i | \(-0.231121\pi\) |
−0.663950 | + | 0.747777i | \(0.731121\pi\) | |||||||
\(360\) | 0.524015 | + | 1.26508i | 0.0276180 | + | 0.0666758i | ||||
\(361\) | 40.0540i | 2.10810i | ||||||||
\(362\) | 8.65612 | − | 3.58548i | 0.454956 | − | 0.188449i | ||||
\(363\) | 1.69852 | − | 4.10059i | 0.0891492 | − | 0.215225i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.68608 | + | 1.68608i | −0.0882533 | + | 0.0882533i | ||||
\(366\) | 0.968253 | − | 0.968253i | 0.0506114 | − | 0.0506114i | ||||
\(367\) | 16.8573 | + | 6.98252i | 0.879944 | + | 0.364485i | 0.776475 | − | 0.630148i | \(-0.217006\pi\) |
0.103469 | + | 0.994633i | \(0.467006\pi\) | |||||||
\(368\) | −11.7632 | + | 28.3988i | −0.613197 | + | 1.48039i | ||||
\(369\) | −0.518807 | + | 0.214897i | −0.0270080 | + | 0.0111871i | ||||
\(370\) | 2.73863i | 0.142375i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 1.58831 | + | 1.58831i | 0.0823501 | + | 0.0823501i | ||||
\(373\) | −16.2462 | −0.841197 | −0.420598 | − | 0.907247i | \(-0.638180\pi\) | ||||
−0.420598 | + | 0.907247i | \(0.638180\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5.43845 | −0.280840 | ||||||||
\(376\) | −4.96046 | − | 4.96046i | −0.255816 | − | 0.255816i | ||||
\(377\) | 14.3948 | + | 34.7522i | 0.741372 | + | 1.78983i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.0866 | + | 4.59220i | −0.569478 | + | 0.235886i | −0.648794 | − | 0.760964i | \(-0.724726\pi\) |
0.0793161 | + | 0.996850i | \(0.474726\pi\) | |||||||
\(380\) | −0.724056 | + | 1.74803i | −0.0371433 | + | 0.0896718i | ||||
\(381\) | 0.746277 | + | 0.309118i | 0.0382329 | + | 0.0158366i | ||||
\(382\) | −14.4903 | + | 14.4903i | −0.741390 | + | 0.741390i | ||||
\(383\) | 7.24517 | − | 7.24517i | 0.370211 | − | 0.370211i | −0.497343 | − | 0.867554i | \(-0.665691\pi\) |
0.867554 | + | 0.497343i | \(0.165691\pi\) | |||||||
\(384\) | 12.5292 | + | 5.18978i | 0.639380 | + | 0.264840i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 34.9797 | − | 14.4891i | 1.78042 | − | 0.737474i | ||||
\(387\) | 7.68466i | 0.390633i | ||||||||
\(388\) | 1.86631 | + | 4.50566i | 0.0947474 | + | 0.228740i | ||||
\(389\) | −15.4586 | − | 15.4586i | −0.783781 | − | 0.783781i | 0.196685 | − | 0.980467i | \(-0.436982\pi\) |
−0.980467 | + | 0.196685i | \(0.936982\pi\) | |||||||
\(390\) | −4.00000 | −0.202548 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 17.0691 | 0.862121 | ||||||||
\(393\) | 13.1250 | + | 13.1250i | 0.662069 | + | 0.662069i | ||||
\(394\) | 11.9103 | + | 28.7540i | 0.600032 | + | 1.44861i | ||||
\(395\) | − | 8.63068i | − | 0.434257i | ||||||
\(396\) | −1.03761 | + | 0.429794i | −0.0521421 | + | 0.0215980i | ||||
\(397\) | 2.05475 | − | 4.96060i | 0.103125 | − | 0.248965i | −0.863892 | − | 0.503677i | \(-0.831980\pi\) |
0.967017 | + | 0.254711i | \(0.0819804\pi\) | |||||||
\(398\) | 23.0830 | + | 9.56129i | 1.15705 | + | 0.479264i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −15.5182 | + | 15.5182i | −0.775909 | + | 0.775909i | ||||
\(401\) | 5.70688 | + | 2.36387i | 0.284988 | + | 0.118046i | 0.520598 | − | 0.853802i | \(-0.325709\pi\) |
−0.235610 | + | 0.971848i | \(0.575709\pi\) | |||||||
\(402\) | 2.39032 | − | 5.77075i | 0.119218 | − | 0.287819i | ||||
\(403\) | 21.5904 | − | 8.94305i | 1.07550 | − | 0.445485i | ||||
\(404\) | − | 8.38447i | − | 0.417143i | ||||||
\(405\) | 0.214897 | + | 0.518807i | 0.0106783 | + | 0.0257797i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.00000 | 0.396545 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.31534 | −0.114486 | −0.0572431 | − | 0.998360i | \(-0.518231\pi\) | ||||
−0.0572431 | + | 0.998360i | \(0.518231\pi\) | |||||||
\(410\) | 0.348195 | + | 0.348195i | 0.0171961 | + | 0.0171961i | ||||
\(411\) | 6.21716 | + | 15.0095i | 0.306670 | + | 0.740366i | ||||
\(412\) | 1.89205i | 0.0932146i | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −3.92106 | + | 9.46626i | −0.192709 | + | 0.465242i | ||||
\(415\) | 4.73313 | + | 1.96053i | 0.232340 | + | 0.0962385i | ||||
\(416\) | −7.86522 | + | 7.86522i | −0.385624 | + | 0.385624i | ||||
\(417\) | −6.45101 | + | 6.45101i | −0.315907 | + | 0.315907i | ||||
\(418\) | 28.3988 | + | 11.7632i | 1.38903 | + | 0.575355i | ||||
\(419\) | −12.4343 | + | 30.0191i | −0.607456 | + | 1.46653i | 0.258302 | + | 0.966064i | \(0.416837\pi\) |
−0.865757 | + | 0.500464i | \(0.833163\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 28.5616i | − | 1.39200i | −0.718039 | − | 0.696002i | \(-0.754960\pi\) | ||
0.718039 | − | 0.696002i | \(-0.245040\pi\) | |||||||
\(422\) | 6.79408 | + | 16.4024i | 0.330731 | + | 0.798454i | ||||
\(423\) | −2.03427 | − | 2.03427i | −0.0989097 | − | 0.0989097i | ||||
\(424\) | −10.3542 | −0.502843 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −16.0000 | −0.775203 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 1.28938 | + | 3.11284i | 0.0623246 | + | 0.150465i | ||||
\(429\) | 11.6847i | 0.564141i | ||||||||
\(430\) | 6.22569 | − | 2.57876i | 0.300229 | − | 0.124359i | ||||
\(431\) | −9.18440 | + | 22.1731i | −0.442397 | + | 1.06804i | 0.532708 | + | 0.846299i | \(0.321174\pi\) |
−0.975105 | + | 0.221742i | \(0.928826\pi\) | |||||||
\(432\) | 4.32806 | + | 1.79274i | 0.208234 | + | 0.0862533i | ||||
\(433\) | 10.1225 | − | 10.1225i | 0.486455 | − | 0.486455i | −0.420731 | − | 0.907186i | \(-0.638226\pi\) |
0.907186 | + | 0.420731i | \(0.138226\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.27819 | − | 1.77209i | −0.205124 | − | 0.0849650i | ||||
\(436\) | 2.53745 | − | 6.12595i | 0.121522 | − | 0.293380i | ||||
\(437\) | 46.5850 | − | 19.2962i | 2.22847 | − | 0.923060i | ||||
\(438\) | 6.63068i | 0.316826i | ||||||||
\(439\) | 2.20188 | + | 5.31581i | 0.105090 | + | 0.253710i | 0.967674 | − | 0.252204i | \(-0.0811554\pi\) |
−0.862584 | + | 0.505914i | \(0.831155\pi\) | |||||||
\(440\) | −2.48023 | − | 2.48023i | −0.118240 | − | 0.118240i | ||||
\(441\) | 7.00000 | 0.333333 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −22.8769 | −1.08691 | −0.543457 | − | 0.839437i | \(-0.682885\pi\) | ||||
−0.543457 | + | 0.839437i | \(0.682885\pi\) | |||||||
\(444\) | 0.968253 | + | 0.968253i | 0.0459513 | + | 0.0459513i | ||||
\(445\) | −1.53073 | − | 3.69552i | −0.0725637 | − | 0.175184i | ||||
\(446\) | 21.7538i | 1.03007i | ||||||||
\(447\) | 3.92299 | − | 1.62495i | 0.185551 | − | 0.0768577i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −11.7690 | − | 4.87486i | −0.555412 | − | 0.230059i | 0.0872802 | − | 0.996184i | \(-0.472182\pi\) |
−0.642692 | + | 0.766125i | \(0.722182\pi\) | |||||||
\(450\) | −5.17273 | + | 5.17273i | −0.243845 | + | 0.243845i | ||||
\(451\) | 1.01714 | − | 1.01714i | 0.0478951 | − | 0.0478951i | ||||
\(452\) | 1.84776 | + | 0.765367i | 0.0869113 | + | 0.0359998i | ||||
\(453\) | 3.06147 | − | 7.39104i | 0.143840 | − | 0.347261i | ||||
\(454\) | −33.2597 | + | 13.7766i | −1.56095 | + | 0.646568i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −7.17096 | − | 17.3122i | −0.335811 | − | 0.810720i | ||||
\(457\) | −4.81382 | − | 4.81382i | −0.225181 | − | 0.225181i | 0.585495 | − | 0.810676i | \(-0.300900\pi\) |
−0.810676 | + | 0.585495i | \(0.800900\pi\) | |||||||
\(458\) | −9.36932 | −0.437799 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.61553 | 0.0753244 | ||||||||
\(461\) | −5.83095 | − | 5.83095i | −0.271575 | − | 0.271575i | 0.558159 | − | 0.829734i | \(-0.311508\pi\) |
−0.829734 | + | 0.558159i | \(0.811508\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 24.9848i | 1.16114i | 0.814209 | + | 0.580572i | \(0.197171\pi\) | ||||
−0.814209 | + | 0.580572i | \(0.802829\pi\) | |||||||
\(464\) | −35.6901 | + | 14.7833i | −1.65687 | + | 0.686299i | ||||
\(465\) | −1.10094 | + | 2.65790i | −0.0510549 | + | 0.123257i | ||||
\(466\) | 0.810145 | + | 0.335573i | 0.0375292 | + | 0.0155451i | ||||
\(467\) | −2.38247 | + | 2.38247i | −0.110247 | + | 0.110247i | −0.760079 | − | 0.649831i | \(-0.774840\pi\) |
0.649831 | + | 0.760079i | \(0.274840\pi\) | |||||||
\(468\) | −1.41421 | + | 1.41421i | −0.0653720 | + | 0.0653720i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −0.965408 | + | 2.33070i | −0.0445309 | + | 0.107507i | ||||
\(471\) | −5.25194 | + | 2.17542i | −0.241997 | + | 0.100238i | ||||
\(472\) | − | 2.73863i | − | 0.126056i | ||||||
\(473\) | −7.53299 | − | 18.1863i | −0.346367 | − | 0.836205i | ||||
\(474\) | −16.9706 | − | 16.9706i | −0.779484 | − | 0.779484i | ||||
\(475\) | 36.0000 | 1.65179 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −4.24621 | −0.194421 | ||||||||
\(478\) | −11.3137 | − | 11.3137i | −0.517477 | − | 0.517477i | ||||
\(479\) | −11.2127 | − | 27.0698i | −0.512321 | − | 1.23685i | −0.942529 | − | 0.334123i | \(-0.891560\pi\) |
0.430208 | − | 0.902730i | \(-0.358440\pi\) | |||||||
\(480\) | − | 1.36932i | − | 0.0625005i | ||||||
\(481\) | 13.1618 | − | 5.45179i | 0.600126 | − | 0.248580i | ||||
\(482\) | −12.7699 | + | 30.8292i | −0.581652 | + | 1.40423i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.37605 | + | 1.37605i | −0.0625476 | + | 0.0625476i | ||||
\(485\) | −4.41674 | + | 4.41674i | −0.200554 | + | 0.200554i | ||||
\(486\) | 1.44269 | + | 0.597580i | 0.0654416 | + | 0.0271068i | ||||
\(487\) | 2.82012 | − | 6.80836i | 0.127792 | − | 0.308516i | −0.847015 | − | 0.531570i | \(-0.821602\pi\) |
0.974806 | + | 0.223053i | \(0.0716024\pi\) | |||||||
\(488\) | 1.97550 | − | 0.818277i | 0.0894265 | − | 0.0370417i | ||||
\(489\) | − | 6.87689i | − | 0.310984i | ||||||
\(490\) | −2.34901 | − | 5.67101i | −0.106117 | − | 0.256190i | ||||
\(491\) | 2.38247 | + | 2.38247i | 0.107519 | + | 0.107519i | 0.758820 | − | 0.651301i | \(-0.225776\pi\) |
−0.651301 | + | 0.758820i | \(0.725776\pi\) | |||||||
\(492\) | 0.246211 | 0.0111001 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 54.7386 | 2.46281 | ||||||||
\(495\) | −1.01714 | − | 1.01714i | −0.0457169 | − | 0.0457169i | ||||
\(496\) | 9.18440 | + | 22.1731i | 0.412392 | + | 0.995602i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 13.1618 | − | 5.45179i | 0.589794 | − | 0.244301i | ||||
\(499\) | −4.35085 | + | 10.5039i | −0.194771 | + | 0.470218i | −0.990849 | − | 0.134976i | \(-0.956904\pi\) |
0.796078 | + | 0.605194i | \(0.206904\pi\) | |||||||
\(500\) | 2.20296 | + | 0.912498i | 0.0985196 | + | 0.0408081i | ||||
\(501\) | 0.571175 | − | 0.571175i | 0.0255182 | − | 0.0255182i | ||||
\(502\) | 27.0442 | − | 27.0442i | 1.20704 | − | 1.20704i | ||||
\(503\) | 23.5021 | + | 9.73487i | 1.04791 | + | 0.434057i | 0.839144 | − | 0.543910i | \(-0.183057\pi\) |
0.208762 | + | 0.977967i | \(0.433057\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.92120 | − | 4.10950i | 0.441488 | − | 0.182870i | ||||
\(506\) | − | 26.2462i | − | 1.16679i | ||||||
\(507\) | 2.98790 | + | 7.21343i | 0.132697 | + | 0.320360i | ||||
\(508\) | −0.250430 | − | 0.250430i | −0.0111110 | − | 0.0111110i | ||||
\(509\) | −16.8769 | −0.748055 | −0.374028 | − | 0.927418i | \(-0.622023\pi\) | ||||
−0.374028 | + | 0.927418i | \(0.622023\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 8.07749 | + | 8.07749i | 0.356978 | + | 0.356978i | ||||
\(513\) | −2.94079 | − | 7.09970i | −0.129839 | − | 0.313459i | ||||
\(514\) | 14.6307i | 0.645332i | ||||||||
\(515\) | −2.23883 | + | 0.927354i | −0.0986546 | + | 0.0408641i | ||||
\(516\) | 1.28938 | − | 3.11284i | 0.0567619 | − | 0.137035i | ||||
\(517\) | 6.80836 | + | 2.82012i | 0.299431 | + | 0.124029i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −13.2991 | + | 13.2991i | −0.583766 | + | 0.583766i | ||||
\(520\) | −5.77075 | − | 2.39032i | −0.253064 | − | 0.104823i | ||||
\(521\) | 12.0310 | − | 29.0453i | 0.527086 | − | 1.27250i | −0.406337 | − | 0.913723i | \(-0.633194\pi\) |
0.933424 | − | 0.358776i | \(-0.116806\pi\) | |||||||
\(522\) | −11.8967 | + | 4.92777i | −0.520704 | + | 0.215683i | ||||
\(523\) | 20.0000i | 0.874539i | 0.899331 | + | 0.437269i | \(0.144054\pi\) | ||||
−0.899331 | + | 0.437269i | \(0.855946\pi\) | |||||||
\(524\) | −3.11438 | − | 7.51877i | −0.136052 | − | 0.328459i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −19.5076 | −0.850571 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −12.0000 | −0.522233 | ||||||||
\(529\) | −14.1803 | − | 14.1803i | −0.616535 | − | 0.616535i | ||||
\(530\) | 1.42491 | + | 3.44005i | 0.0618943 | + | 0.149426i | ||||
\(531\) | − | 1.12311i | − | 0.0487386i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.980264 | − | 2.36657i | 0.0424599 | − | 0.102507i | ||||
\(534\) | −10.2764 | − | 4.25663i | −0.444704 | − | 0.184202i | ||||
\(535\) | −3.05141 | + | 3.05141i | −0.131924 | + | 0.131924i | ||||
\(536\) | 6.89697 | − | 6.89697i | 0.297904 | − | 0.297904i | ||||
\(537\) | −8.42865 | − | 3.49126i | −0.363723 | − | 0.150659i | ||||
\(538\) | −12.2872 | + | 29.6639i | −0.529738 | + | 1.27890i | ||||
\(539\) | −16.5660 | + | 6.86185i | −0.713547 | + | 0.295561i | ||||
\(540\) | − | 0.246211i | − | 0.0105952i | ||||||
\(541\) | 15.3486 | + | 37.0549i | 0.659890 | + | 1.59312i | 0.797972 | + | 0.602694i | \(0.205906\pi\) |
−0.138082 | + | 0.990421i | \(0.544094\pi\) | |||||||
\(542\) | −0.891921 | − | 0.891921i | −0.0383113 | − | 0.0383113i | ||||
\(543\) | 6.00000 | 0.257485 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 8.49242 | 0.363775 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.7151 | + | 25.8686i | 0.458146 | + | 1.10606i | 0.969147 | + | 0.246483i | \(0.0792748\pi\) |
−0.511001 | + | 0.859580i | \(0.670725\pi\) | |||||||
\(548\) | − | 7.12311i | − | 0.304284i | ||||||
\(549\) | 0.810145 | − | 0.335573i | 0.0345761 | − | 0.0143219i | ||||
\(550\) | 7.17096 | − | 17.3122i | 0.305771 | − | 0.738196i | ||||
\(551\) | 58.5456 | + | 24.2504i | 2.49413 | + | 1.03310i | ||||
\(552\) | −11.3137 | + | 11.3137i | −0.481543 | + | 0.481543i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −8.65612 | − | 3.58548i | −0.367763 | − | 0.152333i | ||||
\(555\) | −0.671146 | + | 1.62029i | −0.0284886 | + | 0.0687775i | ||||
\(556\) | 3.69552 | − | 1.53073i | 0.156725 | − | 0.0649176i | ||||
\(557\) | 6.49242i | 0.275093i | 0.990495 | + | 0.137546i | \(0.0439216\pi\) | ||||
−0.990495 | + | 0.137546i | \(0.956078\pi\) | |||||||
\(558\) | 3.06147 | + | 7.39104i | 0.129602 | + | 0.312888i | ||||
\(559\) | −24.7869 | − | 24.7869i | −1.04837 | − | 1.04837i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −29.8617 | −1.25964 | ||||||||
\(563\) | −16.1764 | − | 16.1764i | −0.681754 | − | 0.681754i | 0.278641 | − | 0.960395i | \(-0.410116\pi\) |
−0.960395 | + | 0.278641i | \(0.910116\pi\) | |||||||
\(564\) | 0.482704 | + | 1.16535i | 0.0203255 | + | 0.0490701i | ||||
\(565\) | 2.56155i | 0.107765i | ||||||||
\(566\) | −4.86087 | + | 2.01344i | −0.204318 | + | 0.0846311i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −23.0830 | − | 9.56129i | −0.968541 | − | 0.401183i | ||||
\(569\) | 9.10534 | − | 9.10534i | 0.381716 | − | 0.381716i | −0.490004 | − | 0.871720i | \(-0.663005\pi\) |
0.871720 | + | 0.490004i | \(0.163005\pi\) | |||||||
\(570\) | −4.76493 | + | 4.76493i | −0.199581 | + | 0.199581i | ||||
\(571\) | −17.3122 | − | 7.17096i | −0.724495 | − | 0.300096i | −0.0102072 | − | 0.999948i | \(-0.503249\pi\) |
−0.714288 | + | 0.699852i | \(0.753249\pi\) | |||||||
\(572\) | 1.96053 | − | 4.73313i | 0.0819738 | − | 0.197902i | ||||
\(573\) | −12.1242 | + | 5.02200i | −0.506494 | + | 0.209797i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −11.7632 | − | 28.3988i | −0.490558 | − | 1.18431i | ||||
\(576\) | 3.93261 | + | 3.93261i | 0.163859 | + | 0.163859i | ||||
\(577\) | 41.0540 | 1.70910 | 0.854550 | − | 0.519370i | \(-0.173833\pi\) | ||||
0.854550 | + | 0.519370i | \(0.173833\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 24.2462 | 1.00764 | ||||||||
\(580\) | 1.43565 | + | 1.43565i | 0.0596120 | + | 0.0596120i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 17.3693i | 0.719981i | ||||||||
\(583\) | 10.0489 | − | 4.16241i | 0.416185 | − | 0.172389i | ||||
\(584\) | −3.96237 | + | 9.56600i | −0.163964 | + | 0.395844i | ||||
\(585\) | −2.36657 | − | 0.980264i | −0.0978455 | − | 0.0405289i | ||||
\(586\) | −7.86522 | + | 7.86522i | −0.324909 | + | 0.324909i | ||||
\(587\) | −26.1522 | + | 26.1522i | −1.07942 | + | 1.07942i | −0.0828568 | + | 0.996561i | \(0.526404\pi\) |
−0.996561 | + | 0.0828568i | \(0.973596\pi\) | |||||||
\(588\) | −2.83551 | − | 1.17451i | −0.116934 | − | 0.0484358i | ||||
\(589\) | 15.0660 | − | 36.3725i | 0.620783 | − | 1.49870i | ||||
\(590\) | −0.909878 | + | 0.376884i | −0.0374591 | + | 0.0155161i | ||||
\(591\) | 19.9309i | 0.819846i | ||||||||
\(592\) | 5.59892 | + | 13.5170i | 0.230114 | + | 0.555545i | ||||
\(593\) | 31.2868 | + | 31.2868i | 1.28479 | + | 1.28479i | 0.937906 | + | 0.346888i | \(0.112762\pi\) |
0.346888 | + | 0.937906i | \(0.387238\pi\) | |||||||
\(594\) | −4.00000 | −0.164122 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.86174 | −0.0762598 | ||||||||
\(597\) | 11.3137 | + | 11.3137i | 0.463039 | + | 0.463039i | ||||
\(598\) | −17.8861 | − | 43.1809i | −0.731417 | − | 1.76580i | ||||
\(599\) | − | 41.6155i | − | 1.70036i | −0.526489 | − | 0.850182i | \(-0.676492\pi\) | ||
0.526489 | − | 0.850182i | \(-0.323508\pi\) | |||||||
\(600\) | −10.5537 | + | 4.37150i | −0.430855 | + | 0.178466i | ||||
\(601\) | 13.3881 | − | 32.3218i | 0.546113 | − | 1.31843i | −0.374236 | − | 0.927334i | \(-0.622095\pi\) |
0.920348 | − | 0.391099i | \(-0.127905\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 2.82843 | − | 2.82843i | 0.115182 | − | 0.115182i | ||||
\(604\) | −2.48023 | + | 2.48023i | −0.100919 | + | 0.100919i | ||||
\(605\) | −2.30270 | − | 0.953809i | −0.0936180 | − | 0.0387778i | ||||
\(606\) | 11.4276 | − | 27.5886i | 0.464214 | − | 1.12071i | ||||
\(607\) | −14.1994 | + | 5.88158i | −0.576336 | + | 0.238726i | −0.651760 | − | 0.758425i | \(-0.725969\pi\) |
0.0754240 | + | 0.997152i | \(0.475969\pi\) | |||||||
\(608\) | 18.7386i | 0.759952i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.543725 | − | 0.543725i | −0.0220148 | − | 0.0220148i | ||||
\(611\) | 13.1231 | 0.530904 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.31534 | 0.0935158 | 0.0467579 | − | 0.998906i | \(-0.485111\pi\) | ||||
0.0467579 | + | 0.998906i | \(0.485111\pi\) | |||||||
\(614\) | 0.543725 | + | 0.543725i | 0.0219430 | + | 0.0219430i | ||||
\(615\) | 0.120676 | + | 0.291338i | 0.00486613 | + | 0.0117479i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −25.6412 | + | 10.6209i | −1.03227 | + | 0.427582i | −0.833533 | − | 0.552470i | \(-0.813685\pi\) |
−0.198741 | + | 0.980052i | \(0.563685\pi\) | |||||||
\(618\) | −2.57876 | + | 6.22569i | −0.103733 | + | 0.250434i | ||||
\(619\) | −17.8949 | − | 7.41232i | −0.719257 | − | 0.297926i | −0.00712818 | − | 0.999975i | \(-0.502269\pi\) |
−0.712129 | + | 0.702048i | \(0.752269\pi\) | |||||||
\(620\) | 0.891921 | − | 0.891921i | 0.0358204 | − | 0.0358204i | ||||
\(621\) | −4.63972 | + | 4.63972i | −0.186185 | + | 0.186185i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −19.7427 | + | 8.17768i | −0.790340 | + | 0.327369i | ||||
\(625\) | − | 20.3693i | − | 0.814773i | ||||||
\(626\) | 4.55089 | + | 10.9868i | 0.181890 | + | 0.439122i | ||||
\(627\) | 13.9192 | + | 13.9192i | 0.555878 | + | 0.555878i | ||||
\(628\) | 2.49242 | 0.0994585 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.26230 | − | 8.26230i | −0.328917 | − | 0.328917i | 0.523258 | − | 0.852175i | \(-0.324717\pi\) |
−0.852175 | + | 0.523258i | \(0.824717\pi\) | |||||||
\(632\) | −14.3419 | − | 34.6245i | −0.570491 | − | 1.37729i | ||||
\(633\) | 11.3693i | 0.451890i | ||||||||
\(634\) | −25.9684 | + | 10.7564i | −1.03134 | + | 0.427193i | ||||
\(635\) | 0.173586 | − | 0.419074i | 0.00688855 | − | 0.0166304i | ||||
\(636\) | 1.72002 | + | 0.712457i | 0.0682033 | + | 0.0282508i | ||||
\(637\) | −22.5785 | + | 22.5785i | −0.894594 | + | 0.894594i | ||||
\(638\) | 23.3238 | − | 23.3238i | 0.923398 | − | 0.923398i | ||||
\(639\) | −9.46626 | − | 3.92106i | −0.374480 | − | 0.155115i | ||||
\(640\) | 2.91434 | − | 7.03583i | 0.115199 | − | 0.278116i | ||||
\(641\) | 0.0638681 | − | 0.0264550i | 0.00252264 | − | 0.00104491i | −0.381422 | − | 0.924401i | \(-0.624565\pi\) |
0.383944 | + | 0.923356i | \(0.374565\pi\) | |||||||
\(642\) | 12.0000i | 0.473602i | ||||||||
\(643\) | 11.5747 | + | 27.9439i | 0.456463 | + | 1.10200i | 0.969820 | + | 0.243823i | \(0.0784016\pi\) |
−0.513357 | + | 0.858175i | \(0.671598\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.31534 | 0.169916 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 15.3693 | 0.604230 | 0.302115 | − | 0.953271i | \(-0.402307\pi\) | ||||
0.302115 | + | 0.953271i | \(0.402307\pi\) | |||||||
\(648\) | 1.72424 | + | 1.72424i | 0.0677346 | + | 0.0677346i | ||||
\(649\) | 1.10094 | + | 2.65790i | 0.0432157 | + | 0.104332i | ||||
\(650\) | − | 33.3693i | − | 1.30885i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.15385 | + | 2.78564i | −0.0451882 | + | 0.109094i | ||||
\(653\) | −3.75939 | − | 1.55719i | −0.147116 | − | 0.0609375i | 0.307910 | − | 0.951415i | \(-0.400370\pi\) |
−0.455027 | + | 0.890478i | \(0.650370\pi\) | |||||||
\(654\) | 16.6987 | − | 16.6987i | 0.652971 | − | 0.652971i | ||||
\(655\) | 7.37038 | − | 7.37038i | 0.287985 | − | 0.287985i | ||||
\(656\) | 2.43043 | + | 1.00672i | 0.0948925 | + | 0.0393058i | ||||
\(657\) | −1.62495 | + | 3.92299i | −0.0633955 | + | 0.153050i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 47.8617i | − | 1.86443i | −0.361907 | − | 0.932214i | \(-0.617874\pi\) | ||
0.361907 | − | 0.932214i | \(-0.382126\pi\) | |||||||
\(660\) | 0.241352 | + | 0.582675i | 0.00939461 | + | 0.0226806i | ||||
\(661\) | 18.1618 | + | 18.1618i | 0.706412 | + | 0.706412i | 0.965779 | − | 0.259367i | \(-0.0835139\pi\) |
−0.259367 | + | 0.965779i | \(0.583514\pi\) | |||||||
\(662\) | 9.47727 | 0.368344 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 22.2462 | 0.863320 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.86631 | + | 4.50566i | 0.0723179 | + | 0.174591i | ||||
\(667\) | − | 54.1080i | − | 2.09507i | ||||||
\(668\) | −0.327203 | + | 0.135532i | −0.0126599 | + | 0.00524389i | ||||
\(669\) | −5.33111 | + | 12.8704i | −0.206113 | + | 0.497600i | ||||
\(670\) | −3.24058 | − | 1.34229i | −0.125194 | − | 0.0518573i | ||||
\(671\) | −1.58831 | + | 1.58831i | −0.0613161 | + | 0.0613161i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −45.0286 | − | 18.6515i | −1.73573 | − | 0.718961i | −0.999089 | − | 0.0426728i | \(-0.986413\pi\) |
−0.736637 | − | 0.676288i | \(-0.763587\pi\) | |||||||
\(674\) | −19.5640 | + | 47.2316i | −0.753576 | + | 1.81929i | ||||
\(675\) | −4.32806 | + | 1.79274i | −0.166587 | + | 0.0690026i | ||||
\(676\) | − | 3.42329i | − | 0.131665i | ||||||
\(677\) | 5.23689 | + | 12.6430i | 0.201270 | + | 0.485909i | 0.991997 | − | 0.126260i | \(-0.0402973\pi\) |
−0.790727 | + | 0.612169i | \(0.790297\pi\) | |||||||
\(678\) | 5.03680 | + | 5.03680i | 0.193437 | + | 0.193437i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −23.0540 | −0.883430 | ||||||||
\(682\) | −14.4903 | − | 14.4903i | −0.554863 | − | 0.554863i | ||||
\(683\) | −2.08120 | − | 5.02447i | −0.0796350 | − | 0.192256i | 0.879047 | − | 0.476734i | \(-0.158180\pi\) |
−0.958682 | + | 0.284478i | \(0.908180\pi\) | |||||||
\(684\) | 3.36932i | 0.128829i | ||||||||
\(685\) | 8.42865 | − | 3.49126i | 0.322042 | − | 0.133394i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −5.54328 | − | 2.29610i | −0.211489 | − | 0.0876017i | ||||
\(688\) | 25.4558 | − | 25.4558i | 0.970495 | − | 0.970495i | ||||
\(689\) | 13.6962 | − | 13.6962i | 0.521783 | − | 0.521783i | ||||
\(690\) | 5.31581 | + | 2.20188i | 0.202369 | + | 0.0838241i | ||||
\(691\) | −14.1535 | + | 34.1695i | −0.538424 | + | 1.29987i | 0.387399 | + | 0.921912i | \(0.373374\pi\) |
−0.925823 | + | 0.377958i | \(0.876626\pi\) | |||||||
\(692\) | 7.61851 | − | 3.15569i | 0.289612 | − | 0.119961i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −14.6362 | − | 35.3349i | −0.555582 | − | 1.34129i | ||||
\(695\) | 3.62258 | + | 3.62258i | 0.137412 | + | 0.137412i | ||||
\(696\) | −20.1080 | −0.762190 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 11.6155 | 0.439654 | ||||||||
\(699\) | 0.397078 | + | 0.397078i | 0.0150189 | + | 0.0150189i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 9.36932i | − | 0.353874i | −0.984222 | − | 0.176937i | \(-0.943381\pi\) | ||
0.984222 | − | 0.176937i | \(-0.0566189\pi\) | |||||||
\(702\) | −6.58089 | + | 2.72589i | −0.248380 | + | 0.102882i | ||||
\(703\) | 9.18440 | − | 22.1731i | 0.346396 | − | 0.836275i | ||||
\(704\) | −13.1618 | − | 5.45179i | −0.496053 | − | 0.205472i | ||||
\(705\) | −1.14235 | + | 1.14235i | −0.0430234 | + | 0.0430234i | ||||
\(706\) | −24.8358 | + | 24.8358i | −0.934707 | + | 0.934707i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −0.188442 | + | 0.454939i | −0.00708208 | + | 0.0170977i | ||||
\(709\) | −4.37793 | + | 1.81340i | −0.164416 | + | 0.0681035i | −0.463374 | − | 0.886163i | \(-0.653361\pi\) |
0.298957 | + | 0.954267i | \(0.403361\pi\) | |||||||
\(710\) | 8.98485i | 0.337195i | ||||||||
\(711\) | −5.88158 | − | 14.1994i | −0.220577 | − | 0.532519i | ||||
\(712\) | −12.2820 | − | 12.2820i | −0.460286 | − | 0.460286i | ||||
\(713\) | −33.6155 | −1.25891 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.56155 | 0.245388 | ||||||||
\(716\) | 2.82843 | + | 2.82843i | 0.105703 | + | 0.105703i | ||||
\(717\) | −3.92106 | − | 9.46626i | −0.146434 | − | 0.353524i | ||||
\(718\) | − | 3.50758i | − | 0.130902i | ||||||
\(719\) | 8.13731 | − | 3.37059i | 0.303471 | − | 0.125702i | −0.225752 | − | 0.974185i | \(-0.572484\pi\) |
0.529222 | + | 0.848483i | \(0.322484\pi\) | |||||||
\(720\) | 1.00672 | − | 2.43043i | 0.0375182 | − | 0.0905769i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 44.2270 | − | 44.2270i | 1.64596 | − | 1.64596i | ||||
\(723\) | −15.1104 | + | 15.1104i | −0.561961 | + | 0.561961i | ||||
\(724\) | −2.43043 | − | 1.00672i | −0.0903264 | − | 0.0374144i | ||||
\(725\) | 14.7833 | − | 35.6901i | 0.549039 | − | 1.32550i | ||||
\(726\) | −6.40329 | + | 2.65233i | −0.237648 | + | 0.0984372i | ||||
\(727\) | 8.00000i | 0.296704i | 0.988935 | + | 0.148352i | \(0.0473968\pi\) | ||||
−0.988935 | + | 0.148352i | \(0.952603\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.707107 | + | 0.707107i | 0.0261891 | + | 0.0261891i | ||||
\(730\) | 3.72348 | 0.137812 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −0.384472 | −0.0142105 | ||||||||
\(733\) | 19.9731 | + | 19.9731i | 0.737723 | + | 0.737723i | 0.972137 | − | 0.234414i | \(-0.0753171\pi\) |
−0.234414 | + | 0.972137i | \(0.575317\pi\) | |||||||
\(734\) | −10.9036 | − | 26.3236i | −0.402458 | − | 0.971621i | ||||
\(735\) | − | 3.93087i | − | 0.144992i | ||||||
\(736\) | 14.7821 | − | 6.12293i | 0.544874 | − | 0.225694i | ||||
\(737\) | −3.92106 | + | 9.46626i | −0.144434 | + | 0.348694i | ||||
\(738\) | 0.810145 | + | 0.335573i | 0.0298218 | + | 0.0123526i | ||||
\(739\) | −5.87983 | + | 5.87983i | −0.216293 | + | 0.216293i | −0.806934 | − | 0.590641i | \(-0.798875\pi\) |
0.590641 | + | 0.806934i | \(0.298875\pi\) | |||||||
\(740\) | 0.543725 | − | 0.543725i | 0.0199877 | − | 0.0199877i | ||||
\(741\) | 32.3857 | + | 13.4146i | 1.18972 | + | 0.492797i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 4.15046 | − | 1.71918i | 0.152266 | − | 0.0630704i | −0.305249 | − | 0.952273i | \(-0.598740\pi\) |
0.457515 | + | 0.889202i | \(0.348740\pi\) | |||||||
\(744\) | 12.4924i | 0.457994i | ||||||||
\(745\) | −0.912498 | − | 2.20296i | −0.0334313 | − | 0.0807104i | ||||
\(746\) | 17.9388 | + | 17.9388i | 0.656787 | + | 0.656787i | ||||
\(747\) | 9.12311 | 0.333797 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 6.00505 | + | 6.00505i | 0.219273 | + | 0.219273i | ||||
\(751\) | −0.241352 | − | 0.582675i | −0.00880706 | − | 0.0212621i | 0.919415 | − | 0.393289i | \(-0.128663\pi\) |
−0.928222 | + | 0.372027i | \(0.878663\pi\) | |||||||
\(752\) | 13.4773i | 0.491465i | ||||||||
\(753\) | 22.6280 | − | 9.37284i | 0.824612 | − | 0.341565i | ||||
\(754\) | 22.4783 | − | 54.2674i | 0.818611 | − | 1.97630i | ||||
\(755\) | −4.15046 | − | 1.71918i | −0.151051 | − | 0.0625672i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 14.8874 | − | 14.8874i | 0.541092 | − | 0.541092i | −0.382757 | − | 0.923849i | \(-0.625025\pi\) |
0.923849 | + | 0.382757i | \(0.125025\pi\) | |||||||
\(758\) | 17.3122 | + | 7.17096i | 0.628809 | + | 0.260461i | ||||
\(759\) | 6.43205 | − | 15.5283i | 0.233469 | − | 0.563643i | ||||
\(760\) | −9.72174 | + | 4.02688i | −0.352644 | + | 0.146070i | ||||
\(761\) | 32.2462i | 1.16892i | 0.811421 | + | 0.584462i | \(0.198694\pi\) | ||||
−0.811421 | + | 0.584462i | \(0.801306\pi\) | |||||||
\(762\) | −0.482704 | − | 1.16535i | −0.0174865 | − | 0.0422162i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 5.75379 | 0.208165 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −16.0000 | −0.578103 | ||||||||
\(767\) | 3.62258 | + | 3.62258i | 0.130804 | + | 0.130804i | ||||
\(768\) | −3.84749 | − | 9.28866i | −0.138834 | − | 0.335176i | ||||
\(769\) | − | 29.5464i | − | 1.06547i | −0.846282 | − | 0.532735i | \(-0.821164\pi\) | ||
0.846282 | − | 0.532735i | \(-0.178836\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.58548 | + | 8.65612i | −0.129128 | + | 0.311743i | ||||
\(772\) | −9.82147 | − | 4.06819i | −0.353482 | − | 0.146417i | ||||
\(773\) | −23.5957 | + | 23.5957i | −0.848677 | + | 0.848677i | −0.989968 | − | 0.141291i | \(-0.954875\pi\) |
0.141291 | + | 0.989968i | \(0.454875\pi\) | |||||||
\(774\) | 8.48528 | − | 8.48528i | 0.304997 | − | 0.304997i | ||||
\(775\) | −22.1731 | − | 9.18440i | −0.796482 | − | 0.329913i | ||||
\(776\) | −10.3796 | + | 25.0585i | −0.372605 | + | 0.899547i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 34.1383i | 1.22392i | ||||||||
\(779\) | −1.65141 | − | 3.98686i | −0.0591679 | − | 0.142844i | ||||
\(780\) | 0.794156 | + | 0.794156i | 0.0284353 | + | 0.0284353i | ||||
\(781\) | 26.2462 | 0.939163 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −8.24621 | −0.294696 | ||||||||
\(784\) | −23.1879 | − | 23.1879i | −0.828138 | − | 0.828138i | ||||
\(785\) | 1.22162 | + | 2.94924i | 0.0436013 | + | 0.105263i | ||||
\(786\) | − | 28.9848i | − | 1.03386i | ||||||
\(787\) | 5.77075 | − | 2.39032i | 0.205705 | − | 0.0852058i | −0.277452 | − | 0.960739i | \(-0.589490\pi\) |
0.483157 | + | 0.875534i | \(0.339490\pi\) | |||||||
\(788\) | 3.34413 | − | 8.07344i | 0.119130 | − | 0.287605i | ||||
\(789\) | −11.5415 | − | 4.78064i | −0.410888 | − | 0.170195i | ||||
\(790\) | −9.52987 | + | 9.52987i | −0.339057 | + | 0.339057i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −5.77075 | − | 2.39032i | −0.205055 | − | 0.0849364i | ||||
\(793\) | −1.53073 | + | 3.69552i | −0.0543579 | + | 0.131232i | ||||
\(794\) | −7.74624 | + | 3.20860i | −0.274904 | + | 0.113869i | ||||
\(795\) | 2.38447i | 0.0845685i | ||||||||
\(796\) | −2.68458 | − | 6.48116i | −0.0951525 | − | 0.229719i | ||||
\(797\) | 22.3556 | + | 22.3556i | 0.791874 | + | 0.791874i | 0.981799 | − | 0.189924i | \(-0.0608243\pi\) |
−0.189924 | + | 0.981799i | \(0.560824\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 11.4233 | 0.403874 | ||||||||
\(801\) | −5.03680 | − | 5.03680i | −0.177966 | − | 0.177966i | ||||
\(802\) | −3.69130 | − | 8.91159i | −0.130344 | − | 0.314679i | ||||
\(803\) | − | 10.8769i | − | 0.383837i | ||||||
\(804\) | −1.62029 | + | 0.671146i | −0.0571432 | + | 0.0236695i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −33.7146 | − | 13.9650i | −1.18755 | − | 0.491898i | ||||
\(807\) | −14.5392 | + | 14.5392i | −0.511805 | + | 0.511805i | ||||
\(808\) | 32.9729 | − | 32.9729i | 1.15998 | − | 1.15998i | ||||
\(809\) | −49.0155 | − | 20.3029i | −1.72329 | − | 0.713811i | −0.999722 | − | 0.0235603i | \(-0.992500\pi\) |
−0.723570 | − | 0.690251i | \(-0.757500\pi\) | |||||||
\(810\) | 0.335573 | − | 0.810145i | 0.0117908 | − | 0.0284656i | ||||
\(811\) | 19.0603 | − | 7.89502i | 0.669296 | − | 0.277232i | −0.0220481 | − | 0.999757i | \(-0.507019\pi\) |
0.691345 | + | 0.722525i | \(0.257019\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.309118 | − | 0.746277i | −0.0108412 | − | 0.0261731i | ||||
\(814\) | −8.83348 | − | 8.83348i | −0.309613 | − | 0.309613i | ||||
\(815\) | −3.86174 | −0.135271 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −59.0540 | −2.06604 | ||||||||
\(818\) | 2.55656 | + | 2.55656i | 0.0893882 | + | 0.0893882i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | − | 0.138261i | − | 0.00482827i | ||||||
\(821\) | −15.3009 | + | 6.33783i | −0.534004 | + | 0.221192i | −0.633356 | − | 0.773861i | \(-0.718323\pi\) |
0.0993517 | + | 0.995052i | \(0.468323\pi\) | |||||||
\(822\) | 9.70842 | − | 23.4382i | 0.338620 | − | 0.817501i | ||||
\(823\) | 33.7146 | + | 13.9650i | 1.17522 | + | 0.486791i | 0.882914 | − | 0.469535i | \(-0.155578\pi\) |
0.292303 | + | 0.956326i | \(0.405578\pi\) | |||||||
\(824\) | −7.44070 | + | 7.44070i | −0.259209 | + | 0.259209i | ||||
\(825\) | 8.48528 | − | 8.48528i | 0.295420 | − | 0.295420i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 5.51955 | − | 13.3254i | 0.191934 | − | 0.463369i | −0.798391 | − | 0.602140i | \(-0.794315\pi\) |
0.990325 | + | 0.138771i | \(0.0443151\pi\) | |||||||
\(828\) | 2.65790 | − | 1.10094i | 0.0923685 | − | 0.0382603i | ||||
\(829\) | − | 50.4924i | − | 1.75367i | −0.480787 | − | 0.876837i | \(-0.659649\pi\) | ||
0.480787 | − | 0.876837i | \(-0.340351\pi\) | |||||||
\(830\) | −3.06147 | − | 7.39104i | −0.106265 | − | 0.256547i | ||||
\(831\) | −4.24264 | − | 4.24264i | −0.147176 | − | 0.147176i | ||||
\(832\) | −25.3693 | −0.879523 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 14.2462 | 0.493306 | ||||||||
\(835\) | −0.320745 | − | 0.320745i | −0.0110998 | − | 0.0110998i | ||||
\(836\) | −3.30282 | − | 7.97371i | −0.114230 | − | 0.275777i | ||||
\(837\) | 5.12311i | 0.177080i | ||||||||
\(838\) | 46.8764 | − | 19.4168i | 1.61932 | − | 0.670743i | ||||
\(839\) | 4.23017 | − | 10.2125i | 0.146042 | − | 0.352576i | −0.833884 | − | 0.551940i | \(-0.813888\pi\) |
0.979925 | + | 0.199364i | \(0.0638877\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 27.5772 | − | 27.5772i | 0.950937 | − | 0.950937i | ||||
\(842\) | −31.5372 | + | 31.5372i | −1.08684 | + | 1.08684i | ||||
\(843\) | −17.6674 | − | 7.31810i | −0.608499 | − | 0.252049i | ||||
\(844\) | 1.90762 | − | 4.60540i | 0.0656629 | − | 0.158524i | ||||
\(845\) | 4.05072 | − | 1.67786i | 0.139349 | − | 0.0577203i | ||||
\(846\) | 4.49242i | 0.154453i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 14.0658 | + | 14.0658i | 0.483022 | + | 0.483022i | ||||
\(849\) | −3.36932 | −0.115635 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −20.4924 | −0.702471 | ||||||||
\(852\) | 3.17662 | + | 3.17662i | 0.108829 | + | 0.108829i | ||||
\(853\) | 7.93633 | + | 19.1600i | 0.271735 | + | 0.656026i | 0.999558 | − | 0.0297393i | \(-0.00946771\pi\) |
−0.727823 | + | 0.685765i | \(0.759468\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −3.98686 | + | 1.65141i | −0.136348 | + | 0.0564770i | ||||
\(856\) | −7.17096 | + | 17.3122i | −0.245099 | + | 0.591720i | ||||
\(857\) | −5.54328 | − | 2.29610i | −0.189355 | − | 0.0784333i | 0.285991 | − | 0.958232i | \(-0.407677\pi\) |
−0.475346 | + | 0.879799i | \(0.657677\pi\) | |||||||
\(858\) | 12.9020 | − | 12.9020i | 0.440468 | − | 0.440468i | ||||
\(859\) | −8.48528 | + | 8.48528i | −0.289514 | + | 0.289514i | −0.836888 | − | 0.547374i | \(-0.815628\pi\) |
0.547374 | + | 0.836888i | \(0.315628\pi\) | |||||||
\(860\) | −1.74803 | − | 0.724056i | −0.0596072 | − | 0.0246901i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 34.6245 | − | 14.3419i | 1.17931 | − | 0.488488i | ||||
\(863\) | 26.2462i | 0.893431i | 0.894676 | + | 0.446716i | \(0.147406\pi\) | ||||
−0.894676 | + | 0.446716i | \(0.852594\pi\) | |||||||
\(864\) | −0.933153 | − | 2.25283i | −0.0317465 | − | 0.0766429i | ||||
\(865\) | 7.46815 | + | 7.46815i | 0.253925 | + | 0.253925i | ||||
\(866\) | −22.3542 | −0.759625 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 27.8383 | + | 27.8383i | 0.944350 | + | 0.944350i | ||||
\(870\) | 2.76721 | + | 6.68062i | 0.0938171 | + | 0.226494i | ||||
\(871\) | 18.2462i | 0.618249i | ||||||||
\(872\) | 34.0698 | − | 14.1122i | 1.15375 | − | 0.477899i | ||||
\(873\) | −4.25663 | + | 10.2764i | −0.144065 | + | 0.347804i | ||||
\(874\) | −72.7450 | − | 30.1320i | −2.46064 | − | 1.01923i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 1.31645 | − | 1.31645i | 0.0444787 | − | 0.0444787i | ||||
\(877\) | 31.4119 | + | 13.0112i | 1.06070 | + | 0.439358i | 0.843701 | − | 0.536813i | \(-0.180372\pi\) |
0.217003 | + | 0.976171i | \(0.430372\pi\) | |||||||
\(878\) | 3.43835 | − | 8.30091i | 0.116039 | − | 0.280142i | ||||
\(879\) | −6.58089 | + | 2.72589i | −0.221968 | + | 0.0919421i | ||||
\(880\) | 6.73863i | 0.227159i | ||||||||
\(881\) | −9.09018 | − | 21.9456i | −0.306256 | − | 0.739367i | −0.999820 | − | 0.0189724i | \(-0.993961\pi\) |
0.693564 | − | 0.720395i | \(-0.256039\pi\) | |||||||
\(882\) | −7.72929 | − | 7.72929i | −0.260259 | − | 0.260259i | ||||
\(883\) | −38.4233 | −1.29305 | −0.646523 | − | 0.762894i | \(-0.723778\pi\) | ||||
−0.646523 | + | 0.762894i | \(0.723778\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.630683 | −0.0212002 | ||||||||
\(886\) | 25.2603 | + | 25.2603i | 0.848637 | + | 0.848637i | ||||
\(887\) | 8.63393 | + | 20.8442i | 0.289899 | + | 0.699878i | 0.999991 | − | 0.00423064i | \(-0.00134666\pi\) |
−0.710092 | + | 0.704109i | \(0.751347\pi\) | |||||||
\(888\) | 7.61553i | 0.255560i | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −2.39032 | + | 5.77075i | −0.0801238 | + | 0.193436i | ||||
\(891\) | −2.36657 | − | 0.980264i | −0.0792830 | − | 0.0328401i | ||||
\(892\) | 4.31897 | − | 4.31897i | 0.144610 | − | 0.144610i | ||||
\(893\) | 15.6327 | − | 15.6327i | 0.523128 | − | 0.523128i | ||||
\(894\) | −6.12595 | − | 2.53745i | −0.204882 | − | 0.0848651i | ||||
\(895\) | −1.96053 | + | 4.73313i | −0.0655332 | + | 0.158211i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | − | 29.9309i | − | 0.999363i | ||||||
\(898\) | 7.61236 | + | 18.3779i | 0.254028 | + | 0.613277i | ||||
\(899\) | −29.8726 | − | 29.8726i | −0.996306 | − | 0.996306i | ||||
\(900\) | 2.05398 | 0.0684658 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −2.24621 | −0.0747907 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.25663 | + | 10.2764i | 0.141573 | + | 0.341788i | ||||
\(905\) | − | 3.36932i | − | 0.112000i | ||||||
\(906\) | −11.5415 | + | 4.78064i | −0.383440 | + | 0.158826i | ||||
\(907\) | 18.3159 | − | 44.2185i | 0.608169 | − | 1.46825i | −0.256819 | − | 0.966459i | \(-0.582675\pi\) |
0.864989 | − | 0.501791i | \(-0.167325\pi\) | |||||||
\(908\) | 9.33853 | + | 3.86815i | 0.309910 | + | 0.128369i | ||||
\(909\) | 13.5221 | − | 13.5221i | 0.448499 | − | 0.448499i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 27.0698 | + | 11.2127i | 0.896864 | + | 0.371493i | 0.783013 | − | 0.622005i | \(-0.213682\pi\) |
0.113850 | + | 0.993498i | \(0.463682\pi\) | |||||||
\(912\) | −13.7766 | + | 33.2597i | −0.456189 | + | 1.10134i | ||||
\(913\) | −21.5904 | + | 8.94305i | −0.714539 | + | 0.295972i | ||||
\(914\) | 10.6307i | 0.351632i | ||||||||
\(915\) | −0.188442 | − | 0.454939i | −0.00622970 | − | 0.0150398i | ||||
\(916\) | 1.86017 | + | 1.86017i | 0.0614619 | + | 0.0614619i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.31534 | −0.142350 | −0.0711750 | − | 0.997464i | \(-0.522675\pi\) | ||||
−0.0711750 | + | 0.997464i | \(0.522675\pi\) | |||||||
\(920\) | 6.35324 | + | 6.35324i | 0.209460 | + | 0.209460i | ||||
\(921\) | 0.188442 | + | 0.454939i | 0.00620937 | + | 0.0149908i | ||||
\(922\) | 12.8769i | 0.424078i | ||||||||
\(923\) | 43.1809 | − | 17.8861i | 1.42132 | − | 0.588728i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −13.5170 | − | 5.59892i | −0.444436 | − | 0.184091i | ||||
\(926\) | 27.5879 | − | 27.5879i | 0.906594 | − | 0.906594i | ||||
\(927\) | −3.05141 | + | 3.05141i | −0.100221 | + | 0.100221i | ||||
\(928\) | 18.5773 | + | 7.69498i | 0.609831 | + | 0.252600i | ||||
\(929\) | −12.2194 | + | 29.5003i | −0.400906 | + | 0.967873i | 0.586541 | + | 0.809920i | \(0.300489\pi\) |
−0.987447 | + | 0.157953i | \(0.949511\pi\) | |||||||
\(930\) | 4.15046 | − | 1.71918i | 0.136099 | − | 0.0563740i | ||||
\(931\) | 53.7926i | 1.76298i | ||||||||
\(932\) | −0.0942210 | − | 0.227470i | −0.00308631 | − | 0.00745101i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.26137 | 0.172157 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −11.1231 | −0.363570 | ||||||||
\(937\) | 15.5563 | + | 15.5563i | 0.508204 | + | 0.508204i | 0.913975 | − | 0.405771i | \(-0.132997\pi\) |
−0.405771 | + | 0.913975i | \(0.632997\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 7.61553i | 0.248523i | ||||||||
\(940\) | 0.654406 | − | 0.271064i | 0.0213444 | − | 0.00884113i | ||||
\(941\) | 11.4805 | − | 27.7164i | 0.374254 | − | 0.903528i | −0.618766 | − | 0.785576i | \(-0.712367\pi\) |
0.993019 | − | 0.117953i | \(-0.0376331\pi\) | |||||||
\(942\) | 8.20118 | + | 3.39704i | 0.267209 | + | 0.110682i | ||||
\(943\) | −2.60545 | + | 2.60545i | −0.0848450 | + | 0.0848450i | ||||
\(944\) | −3.72035 | + | 3.72035i | −0.121087 | + | 0.121087i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −11.7632 | + | 28.3988i | −0.382454 | + | 0.923324i | ||||
\(947\) | −11.0866 | + | 4.59220i | −0.360265 | + | 0.149226i | −0.555471 | − | 0.831536i | \(-0.687462\pi\) |
0.195207 | + | 0.980762i | \(0.437462\pi\) | |||||||
\(948\) | 6.73863i | 0.218861i | ||||||||
\(949\) | −7.41232 | − | 17.8949i | −0.240614 | − | 0.580894i | ||||
\(950\) | −39.7506 | − | 39.7506i | −1.28968 | − | 1.28968i | ||||
\(951\) | −18.0000 | −0.583690 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −54.3542 | −1.76070 | −0.880352 | − | 0.474321i | \(-0.842694\pi\) | ||||
−0.880352 | + | 0.474321i | \(0.842694\pi\) | |||||||
\(954\) | 4.68860 | + | 4.68860i | 0.151799 | + | 0.151799i | ||||
\(955\) | 2.82012 | + | 6.80836i | 0.0912568 | + | 0.220313i | ||||
\(956\) | 4.49242i | 0.145295i | ||||||||
\(957\) | 19.5152 | − | 8.08346i | 0.630837 | − | 0.261301i | ||||
\(958\) | −17.5092 | + | 42.2710i | −0.565697 | + | 1.36571i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 2.20837 | − | 2.20837i | 0.0712748 | − | 0.0712748i | ||||
\(961\) | 3.36144 | − | 3.36144i | 0.108433 | − | 0.108433i | ||||
\(962\) | −20.5528 | − | 8.51326i | −0.662649 | − | 0.274478i | ||||
\(963\) | −2.94079 | + | 7.09970i | −0.0947657 | + | 0.228785i | ||||
\(964\) | 8.65612 | − | 3.58548i | 0.278795 | − | 0.115481i | ||||
\(965\) | − | 13.6155i | − | 0.438299i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 32.9240 | + | 32.9240i | 1.05876 | + | 1.05876i | 0.998162 | + | 0.0606021i | \(0.0193021\pi\) |
0.0606021 | + | 0.998162i | \(0.480698\pi\) | |||||||
\(968\) | −10.8229 | −0.347862 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 9.75379 | 0.313175 | ||||||||
\(971\) | 1.68608 | + | 1.68608i | 0.0541088 | + | 0.0541088i | 0.733643 | − | 0.679535i | \(-0.237818\pi\) |
−0.679535 | + | 0.733643i | \(0.737818\pi\) | |||||||
\(972\) | −0.167786 | − | 0.405072i | −0.00538175 | − | 0.0129927i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −10.6316 | + | 4.40376i | −0.340659 | + | 0.141106i | ||||
\(975\) | 8.17768 | − | 19.7427i | 0.261895 | − | 0.632272i | ||||
\(976\) | −3.79525 | − | 1.57204i | −0.121483 | − | 0.0503199i | ||||
\(977\) | −5.83095 | + | 5.83095i | −0.186549 | + | 0.186549i | −0.794202 | − | 0.607654i | \(-0.792111\pi\) |
0.607654 | + | 0.794202i | \(0.292111\pi\) | |||||||
\(978\) | −7.59336 | + | 7.59336i | −0.242809 | + | 0.242809i | ||||
\(979\) | 16.8573 | + | 6.98252i | 0.538762 | + | 0.223162i | ||||
\(980\) | −0.659547 | + | 1.59229i | −0.0210684 | + | 0.0508637i | ||||
\(981\) | 13.9719 | − | 5.78736i | 0.446089 | − | 0.184776i | ||||
\(982\) | − | 5.26137i | − | 0.167897i | ||||||
\(983\) | −0.791822 | − | 1.91163i | −0.0252552 | − | 0.0609714i | 0.910749 | − | 0.412961i | \(-0.135505\pi\) |
−0.936004 | + | 0.351989i | \(0.885505\pi\) | |||||||
\(984\) | 0.968253 | + | 0.968253i | 0.0308668 | + | 0.0308668i | ||||
\(985\) | 11.1922 | 0.356614 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −10.8677 | − | 10.8677i | −0.345749 | − | 0.345749i | ||||
\(989\) | 19.2962 | + | 46.5850i | 0.613582 | + | 1.48132i | ||||
\(990\) | 2.24621i | 0.0713893i | ||||||||
\(991\) | −6.22569 | + | 2.57876i | −0.197765 | + | 0.0819171i | −0.479368 | − | 0.877614i | \(-0.659134\pi\) |
0.281603 | + | 0.959531i | \(0.409134\pi\) | |||||||
\(992\) | 4.78064 | − | 11.5415i | 0.151786 | − | 0.366443i | ||||
\(993\) | 5.60715 | + | 2.32256i | 0.177937 | + | 0.0737041i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 6.35324 | − | 6.35324i | 0.201411 | − | 0.201411i | ||||
\(996\) | −3.69552 | − | 1.53073i | −0.117097 | − | 0.0485032i | ||||
\(997\) | 3.82683 | − | 9.23880i | 0.121197 | − | 0.292596i | −0.851624 | − | 0.524153i | \(-0.824382\pi\) |
0.972821 | + | 0.231557i | \(0.0743821\pi\) | |||||||
\(998\) | 16.4024 | − | 6.79408i | 0.519208 | − | 0.215063i | ||||
\(999\) | 3.12311i | 0.0988107i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))