Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(59,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(56))
chi = DirichletCharacter(H, H._module([35, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.be (of order \(56\), degree \(24\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(1536\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{56})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{56}]$ |
Embedding invariants
Embedding label | 59.9 | ||
Character | \(\chi\) | \(=\) | 731.59 |
Dual form | 731.2.be.a.508.9 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{4}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.84294 | − | 1.15800i | −1.30316 | − | 0.818827i | −0.311815 | − | 0.950143i | \(-0.600937\pi\) |
−0.991341 | + | 0.131316i | \(0.958080\pi\) | |||||||
\(3\) | 0.271878 | + | 0.192908i | 0.156969 | + | 0.111376i | 0.654470 | − | 0.756088i | \(-0.272892\pi\) |
−0.497501 | + | 0.867463i | \(0.665749\pi\) | |||||||
\(4\) | 1.18771 | + | 2.46630i | 0.593854 | + | 1.23315i | ||||
\(5\) | −1.04595 | − | 3.63057i | −0.467763 | − | 1.62364i | −0.747992 | − | 0.663707i | \(-0.768982\pi\) |
0.280230 | − | 0.959933i | \(-0.409589\pi\) | |||||||
\(6\) | −0.277669 | − | 0.670353i | −0.113358 | − | 0.273670i | ||||
\(7\) | 0.626004 | − | 0.259300i | 0.236607 | − | 0.0980060i | −0.261229 | − | 0.965277i | \(-0.584128\pi\) |
0.497837 | + | 0.867271i | \(0.334128\pi\) | |||||||
\(8\) | 0.179699 | − | 1.59487i | 0.0635331 | − | 0.563872i | ||||
\(9\) | −0.954133 | − | 2.72675i | −0.318044 | − | 0.908918i | ||||
\(10\) | −2.27656 | + | 7.90213i | −0.719913 | + | 2.49887i | ||||
\(11\) | 0.315611 | − | 5.61998i | 0.0951604 | − | 1.69449i | −0.480656 | − | 0.876909i | \(-0.659601\pi\) |
0.575816 | − | 0.817579i | \(-0.304684\pi\) | |||||||
\(12\) | −0.152857 | + | 0.899652i | −0.0441260 | + | 0.259707i | ||||
\(13\) | −3.60901 | + | 2.87809i | −1.00096 | + | 0.798239i | −0.979482 | − | 0.201530i | \(-0.935409\pi\) |
−0.0214779 | + | 0.999769i | \(0.506837\pi\) | |||||||
\(14\) | −1.45396 | − | 0.247037i | −0.388586 | − | 0.0660235i | ||||
\(15\) | 0.415995 | − | 1.18885i | 0.107410 | − | 0.306959i | ||||
\(16\) | 1.23544 | − | 1.54919i | 0.308859 | − | 0.387298i | ||||
\(17\) | 1.46603 | + | 3.85367i | 0.355564 | + | 0.934652i | ||||
\(18\) | −1.39916 | + | 6.13013i | −0.329786 | + | 1.44489i | ||||
\(19\) | 0.713130 | − | 2.03801i | 0.163603 | − | 0.467551i | −0.832673 | − | 0.553764i | \(-0.813191\pi\) |
0.996277 | + | 0.0862130i | \(0.0274765\pi\) | |||||||
\(20\) | 7.71179 | − | 6.89168i | 1.72441 | − | 1.54103i | ||||
\(21\) | 0.220218 | + | 0.0502633i | 0.0480555 | + | 0.0109684i | ||||
\(22\) | −7.08957 | + | 9.99182i | −1.51150 | + | 2.13026i | ||||
\(23\) | 0.367559 | − | 6.54499i | 0.0766413 | − | 1.36473i | −0.690540 | − | 0.723295i | \(-0.742627\pi\) |
0.767181 | − | 0.641431i | \(-0.221659\pi\) | |||||||
\(24\) | 0.356519 | − | 0.398945i | 0.0727742 | − | 0.0814344i | ||||
\(25\) | −7.85341 | + | 4.93462i | −1.57068 | + | 0.986925i | ||||
\(26\) | 9.98402 | − | 1.12493i | 1.95803 | − | 0.220617i | ||||
\(27\) | 0.543466 | − | 1.88641i | 0.104590 | − | 0.363040i | ||||
\(28\) | 1.38302 | + | 1.23594i | 0.261366 | + | 0.233571i | ||||
\(29\) | −0.189197 | + | 1.11354i | −0.0351331 | + | 0.206778i | −0.998001 | − | 0.0631934i | \(-0.979872\pi\) |
0.962868 | + | 0.269972i | \(0.0870144\pi\) | |||||||
\(30\) | −2.14333 | + | 1.70925i | −0.391317 | + | 0.312065i | ||||
\(31\) | 5.91586 | + | 1.00515i | 1.06252 | + | 0.180529i | 0.672365 | − | 0.740220i | \(-0.265278\pi\) |
0.390155 | + | 0.920749i | \(0.372421\pi\) | |||||||
\(32\) | −7.10059 | + | 2.48460i | −1.25522 | + | 0.439220i | ||||
\(33\) | 1.16995 | − | 1.46707i | 0.203662 | − | 0.255384i | ||||
\(34\) | 1.76073 | − | 8.79974i | 0.301963 | − | 1.50914i | ||||
\(35\) | −1.59617 | − | 2.00154i | −0.269803 | − | 0.338322i | ||||
\(36\) | 5.59176 | − | 5.59176i | 0.931961 | − | 0.931961i | ||||
\(37\) | −2.13472 | + | 5.15368i | −0.350946 | + | 0.847259i | 0.645557 | + | 0.763712i | \(0.276625\pi\) |
−0.996504 | + | 0.0835477i | \(0.973375\pi\) | |||||||
\(38\) | −3.67426 | + | 2.93013i | −0.596044 | + | 0.475330i | ||||
\(39\) | −1.53642 | + | 0.0862835i | −0.246024 | + | 0.0138164i | ||||
\(40\) | −5.97824 | + | 1.01574i | −0.945243 | + | 0.160603i | ||||
\(41\) | −1.35336 | − | 1.90738i | −0.211359 | − | 0.297882i | 0.696166 | − | 0.717881i | \(-0.254888\pi\) |
−0.907525 | + | 0.419999i | \(0.862031\pi\) | |||||||
\(42\) | −0.347644 | − | 0.347644i | −0.0536427 | − | 0.0536427i | ||||
\(43\) | 2.71691 | − | 5.96812i | 0.414324 | − | 0.910129i | ||||
\(44\) | 14.2354 | − | 5.89650i | 2.14607 | − | 0.888931i | ||||
\(45\) | −8.90170 | + | 6.31609i | −1.32699 | + | 0.941548i | ||||
\(46\) | −8.25647 | + | 11.6364i | −1.21735 | + | 1.71569i | ||||
\(47\) | 2.78549 | + | 5.78413i | 0.406305 | + | 0.843701i | 0.999260 | + | 0.0384656i | \(0.0122470\pi\) |
−0.592955 | + | 0.805236i | \(0.702039\pi\) | |||||||
\(48\) | 0.634740 | − | 0.182866i | 0.0916169 | − | 0.0263944i | ||||
\(49\) | −4.62510 | + | 4.62510i | −0.660729 | + | 0.660729i | ||||
\(50\) | 20.1876 | 2.85496 | ||||||||
\(51\) | −0.344822 | + | 1.33054i | −0.0482848 | + | 0.186313i | ||||
\(52\) | −11.3847 | − | 5.48258i | −1.57877 | − | 0.760297i | ||||
\(53\) | −0.491587 | − | 4.36295i | −0.0675246 | − | 0.599298i | −0.981219 | − | 0.192896i | \(-0.938212\pi\) |
0.913695 | − | 0.406402i | \(-0.133217\pi\) | |||||||
\(54\) | −3.18603 | + | 2.84721i | −0.433564 | + | 0.387457i | ||||
\(55\) | −20.7339 | + | 4.73237i | −2.79575 | + | 0.638112i | ||||
\(56\) | −0.301057 | − | 1.04499i | −0.0402304 | − | 0.139643i | ||||
\(57\) | 0.587033 | − | 0.416522i | 0.0777545 | − | 0.0551697i | ||||
\(58\) | 1.63815 | − | 1.83309i | 0.215100 | − | 0.240697i | ||||
\(59\) | −7.47071 | + | 0.841747i | −0.972604 | + | 0.109586i | −0.583943 | − | 0.811795i | \(-0.698491\pi\) |
−0.388661 | + | 0.921381i | \(0.627062\pi\) | |||||||
\(60\) | 3.42613 | − | 0.386032i | 0.442312 | − | 0.0498366i | ||||
\(61\) | −1.66992 | − | 9.82846i | −0.213812 | − | 1.25841i | −0.865883 | − | 0.500247i | \(-0.833242\pi\) |
0.652071 | − | 0.758158i | \(-0.273900\pi\) | |||||||
\(62\) | −9.73863 | − | 8.70297i | −1.23681 | − | 1.10528i | ||||
\(63\) | −1.30434 | − | 1.45955i | −0.164331 | − | 0.183887i | ||||
\(64\) | 12.0995 | + | 2.76163i | 1.51244 | + | 0.345204i | ||||
\(65\) | 14.2240 | + | 10.0924i | 1.76427 | + | 1.25181i | ||||
\(66\) | −3.85500 | + | 1.34892i | −0.474518 | + | 0.166041i | ||||
\(67\) | −11.1017 | + | 5.34630i | −1.35629 | + | 0.653154i | −0.963806 | − | 0.266605i | \(-0.914098\pi\) |
−0.392483 | + | 0.919759i | \(0.628384\pi\) | |||||||
\(68\) | −7.76309 | + | 8.19270i | −0.941413 | + | 0.993510i | ||||
\(69\) | 1.36251 | − | 1.70854i | 0.164027 | − | 0.205684i | ||||
\(70\) | 0.623879 | + | 5.53708i | 0.0745678 | + | 0.661808i | ||||
\(71\) | 0.468390 | + | 8.34046i | 0.0555877 | + | 0.989830i | 0.894924 | + | 0.446218i | \(0.147229\pi\) |
−0.839337 | + | 0.543612i | \(0.817056\pi\) | |||||||
\(72\) | −4.52027 | + | 1.03172i | −0.532719 | + | 0.121590i | ||||
\(73\) | −0.422671 | − | 1.46713i | −0.0494700 | − | 0.171714i | 0.932339 | − | 0.361585i | \(-0.117764\pi\) |
−0.981809 | + | 0.189871i | \(0.939193\pi\) | |||||||
\(74\) | 9.90211 | − | 7.02592i | 1.15110 | − | 0.816747i | ||||
\(75\) | −3.08710 | − | 0.173368i | −0.356468 | − | 0.0200188i | ||||
\(76\) | 5.87333 | − | 0.661766i | 0.673717 | − | 0.0759097i | ||||
\(77\) | −1.25968 | − | 3.59997i | −0.143554 | − | 0.410255i | ||||
\(78\) | 2.93145 | + | 1.62015i | 0.331921 | + | 0.183446i | ||||
\(79\) | 3.12966 | + | 7.55567i | 0.352114 | + | 0.850079i | 0.996359 | + | 0.0852597i | \(0.0271720\pi\) |
−0.644244 | + | 0.764820i | \(0.722828\pi\) | |||||||
\(80\) | −6.91665 | − | 2.86497i | −0.773305 | − | 0.320313i | ||||
\(81\) | −6.26416 | + | 4.99550i | −0.696018 | + | 0.555056i | ||||
\(82\) | 0.285419 | + | 5.08236i | 0.0315193 | + | 0.561253i | ||||
\(83\) | 7.35566 | + | 11.7065i | 0.807388 | + | 1.28495i | 0.955207 | + | 0.295937i | \(0.0956318\pi\) |
−0.147819 | + | 0.989014i | \(0.547225\pi\) | |||||||
\(84\) | 0.137590 | + | 0.602822i | 0.0150123 | + | 0.0657733i | ||||
\(85\) | 12.4576 | − | 9.35326i | 1.35122 | − | 1.01450i | ||||
\(86\) | −11.9182 | + | 7.85272i | −1.28517 | + | 0.846780i | ||||
\(87\) | −0.266249 | + | 0.266249i | −0.0285449 | + | 0.0285449i | ||||
\(88\) | −8.90642 | − | 1.51326i | −0.949428 | − | 0.161314i | ||||
\(89\) | −2.33147 | − | 0.532143i | −0.247136 | − | 0.0564071i | 0.0971586 | − | 0.995269i | \(-0.469025\pi\) |
−0.344294 | + | 0.938862i | \(0.611882\pi\) | |||||||
\(90\) | 23.7193 | − | 1.33205i | 2.50024 | − | 0.140410i | ||||
\(91\) | −1.51297 | + | 2.73751i | −0.158602 | + | 0.286969i | ||||
\(92\) | 16.5785 | − | 6.86703i | 1.72842 | − | 0.715937i | ||||
\(93\) | 1.41450 | + | 1.41450i | 0.146676 | + | 0.146676i | ||||
\(94\) | 1.56451 | − | 13.8854i | 0.161367 | − | 1.43217i | ||||
\(95\) | −8.14503 | − | 0.457415i | −0.835663 | − | 0.0469298i | ||||
\(96\) | −2.40980 | − | 0.694251i | −0.245949 | − | 0.0708567i | ||||
\(97\) | 4.29840 | + | 4.80992i | 0.436437 | + | 0.488373i | 0.922743 | − | 0.385415i | \(-0.125942\pi\) |
−0.486306 | + | 0.873788i | \(0.661656\pi\) | |||||||
\(98\) | 13.8796 | − | 3.16794i | 1.40206 | − | 0.320010i | ||||
\(99\) | −15.6255 | + | 4.50161i | −1.57042 | + | 0.452429i | ||||
\(100\) | −21.4978 | − | 13.5080i | −2.14978 | − | 1.35080i | ||||
\(101\) | 11.5363 | − | 5.55559i | 1.14791 | − | 0.552802i | 0.239502 | − | 0.970896i | \(-0.423016\pi\) |
0.908404 | + | 0.418094i | \(0.137302\pi\) | |||||||
\(102\) | 2.17625 | − | 2.05280i | 0.215480 | − | 0.203257i | ||||
\(103\) | −3.78786 | + | 4.74983i | −0.373229 | + | 0.468015i | −0.932605 | − | 0.360900i | \(-0.882470\pi\) |
0.559375 | + | 0.828915i | \(0.311041\pi\) | |||||||
\(104\) | 3.94165 | + | 6.27309i | 0.386510 | + | 0.615127i | ||||
\(105\) | −0.0478524 | − | 0.852090i | −0.00466991 | − | 0.0831555i | ||||
\(106\) | −4.14632 | + | 8.60992i | −0.402726 | + | 0.836269i | ||||
\(107\) | −2.34211 | + | 3.30089i | −0.226420 | + | 0.319109i | −0.913011 | − | 0.407935i | \(-0.866249\pi\) |
0.686591 | + | 0.727044i | \(0.259106\pi\) | |||||||
\(108\) | 5.29793 | − | 0.900155i | 0.509794 | − | 0.0866175i | ||||
\(109\) | 1.97902 | + | 0.111139i | 0.189555 | + | 0.0106452i | 0.150595 | − | 0.988596i | \(-0.451881\pi\) |
0.0389605 | + | 0.999241i | \(0.487595\pi\) | |||||||
\(110\) | 43.6913 | + | 15.2883i | 4.16581 | + | 1.45768i | ||||
\(111\) | −1.57457 | + | 0.989369i | −0.149452 | + | 0.0939067i | ||||
\(112\) | 0.371685 | − | 1.29015i | 0.0351210 | − | 0.121908i | ||||
\(113\) | −7.78298 | − | 2.24224i | −0.732161 | − | 0.210932i | −0.110122 | − | 0.993918i | \(-0.535124\pi\) |
−0.622039 | + | 0.782986i | \(0.713696\pi\) | |||||||
\(114\) | −1.56420 | + | 0.0878435i | −0.146501 | + | 0.00822730i | ||||
\(115\) | −24.1465 | + | 5.51128i | −2.25167 | + | 0.513930i | ||||
\(116\) | −2.97102 | + | 0.855937i | −0.275853 | + | 0.0794718i | ||||
\(117\) | 11.2913 | + | 7.09481i | 1.04388 | + | 0.655916i | ||||
\(118\) | 14.7428 | + | 7.09977i | 1.35719 | + | 0.653586i | ||||
\(119\) | 1.91699 | + | 2.03227i | 0.175731 | + | 0.186298i | ||||
\(120\) | −1.82130 | − | 0.877092i | −0.166261 | − | 0.0800672i | ||||
\(121\) | −20.5538 | − | 2.31585i | −1.86852 | − | 0.210532i | ||||
\(122\) | −8.30375 | + | 20.0470i | −0.751786 | + | 1.81497i | ||||
\(123\) | − | 0.779648i | − | 0.0702985i | ||||||
\(124\) | 4.54732 | + | 15.7841i | 0.408362 | + | 1.41746i | ||||
\(125\) | 12.0437 | + | 10.7629i | 1.07722 | + | 0.962665i | ||||
\(126\) | 0.713658 | + | 4.20029i | 0.0635777 | + | 0.374192i | ||||
\(127\) | 7.91053 | − | 12.5895i | 0.701946 | − | 1.11714i | −0.285377 | − | 0.958415i | \(-0.592119\pi\) |
0.987323 | − | 0.158725i | \(-0.0507384\pi\) | |||||||
\(128\) | −8.46195 | − | 8.46195i | −0.747938 | − | 0.747938i | ||||
\(129\) | 1.88997 | − | 1.09849i | 0.166402 | − | 0.0967166i | ||||
\(130\) | −14.5269 | − | 35.0711i | −1.27409 | − | 3.07594i | ||||
\(131\) | 2.45342 | − | 14.4398i | 0.214357 | − | 1.26161i | −0.650466 | − | 0.759535i | \(-0.725426\pi\) |
0.864823 | − | 0.502077i | \(-0.167431\pi\) | |||||||
\(132\) | 5.00779 | + | 1.14299i | 0.435872 | + | 0.0994849i | ||||
\(133\) | −0.0820321 | − | 1.46072i | −0.00711309 | − | 0.126660i | ||||
\(134\) | 26.6508 | + | 3.00282i | 2.30228 | + | 0.259404i | ||||
\(135\) | −7.41719 | −0.638370 | ||||||||
\(136\) | 6.40954 | − | 1.64562i | 0.549614 | − | 0.141111i | ||||
\(137\) | −8.90129 | − | 11.1619i | −0.760489 | − | 0.953623i | 0.239361 | − | 0.970931i | \(-0.423062\pi\) |
−0.999850 | + | 0.0173077i | \(0.994491\pi\) | |||||||
\(138\) | −4.48951 | + | 1.57095i | −0.382173 | + | 0.133728i | ||||
\(139\) | 3.27959 | + | 5.93397i | 0.278171 | + | 0.503312i | 0.977349 | − | 0.211635i | \(-0.0678790\pi\) |
−0.699178 | + | 0.714948i | \(0.746450\pi\) | |||||||
\(140\) | 3.04061 | − | 6.31389i | 0.256978 | − | 0.533621i | ||||
\(141\) | −0.358490 | + | 2.10992i | −0.0301903 | + | 0.177688i | ||||
\(142\) | 8.79501 | − | 15.9134i | 0.738061 | − | 1.33542i | ||||
\(143\) | 15.0358 | + | 21.1910i | 1.25736 | + | 1.77208i | ||||
\(144\) | −5.40303 | − | 1.89060i | −0.450253 | − | 0.157550i | ||||
\(145\) | 4.24066 | − | 0.477808i | 0.352168 | − | 0.0396798i | ||||
\(146\) | −0.919967 | + | 3.19328i | −0.0761370 | + | 0.264277i | ||||
\(147\) | −2.14969 | + | 0.365246i | −0.177303 | + | 0.0301250i | ||||
\(148\) | −15.2459 | + | 0.856194i | −1.25321 | + | 0.0703787i | ||||
\(149\) | −0.619869 | + | 1.28717i | −0.0507816 | + | 0.105449i | −0.924816 | − | 0.380416i | \(-0.875781\pi\) |
0.874034 | + | 0.485865i | \(0.161495\pi\) | |||||||
\(150\) | 5.48859 | + | 3.89436i | 0.448141 | + | 0.317973i | ||||
\(151\) | −12.3577 | − | 19.6672i | −1.00565 | − | 1.60049i | −0.779504 | − | 0.626398i | \(-0.784529\pi\) |
−0.226151 | − | 0.974092i | \(-0.572614\pi\) | |||||||
\(152\) | −3.12221 | − | 1.50358i | −0.253245 | − | 0.121956i | ||||
\(153\) | 9.10922 | − | 7.67441i | 0.736437 | − | 0.620439i | ||||
\(154\) | −1.84723 | + | 8.09325i | −0.148854 | + | 0.652172i | ||||
\(155\) | −2.53844 | − | 22.5293i | −0.203893 | − | 1.80960i | ||||
\(156\) | −2.03762 | − | 3.68679i | −0.163140 | − | 0.295180i | ||||
\(157\) | −0.792739 | − | 1.64614i | −0.0632674 | − | 0.131376i | 0.866937 | − | 0.498417i | \(-0.166085\pi\) |
−0.930205 | + | 0.367041i | \(0.880371\pi\) | |||||||
\(158\) | 2.98166 | − | 17.5488i | 0.237208 | − | 1.39611i | ||||
\(159\) | 0.707997 | − | 1.28102i | 0.0561478 | − | 0.101592i | ||||
\(160\) | 16.4474 | + | 23.1804i | 1.30028 | + | 1.83257i | ||||
\(161\) | −1.46702 | − | 4.19250i | −0.115617 | − | 0.330416i | ||||
\(162\) | 17.3293 | − | 1.95254i | 1.36152 | − | 0.153406i | ||||
\(163\) | 9.11095 | + | 0.511660i | 0.713625 | + | 0.0400763i | 0.409180 | − | 0.912454i | \(-0.365815\pi\) |
0.304445 | + | 0.952530i | \(0.401529\pi\) | |||||||
\(164\) | 3.09677 | − | 5.60319i | 0.241817 | − | 0.437535i | ||||
\(165\) | −6.55000 | − | 2.71310i | −0.509917 | − | 0.211215i | ||||
\(166\) | − | 30.0921i | − | 2.33560i | ||||||
\(167\) | −9.51295 | + | 2.74063i | −0.736134 | + | 0.212077i | −0.623789 | − | 0.781593i | \(-0.714408\pi\) |
−0.112345 | + | 0.993669i | \(0.535836\pi\) | |||||||
\(168\) | 0.119736 | − | 0.342187i | 0.00923786 | − | 0.0264003i | ||||
\(169\) | 1.84879 | − | 8.10008i | 0.142215 | − | 0.623083i | ||||
\(170\) | −33.7897 | + | 2.81162i | −2.59155 | + | 0.215641i | ||||
\(171\) | −6.23757 | −0.476999 | ||||||||
\(172\) | 17.9461 | − | 0.387672i | 1.36837 | − | 0.0295597i | ||||
\(173\) | 6.40051 | − | 15.4522i | 0.486622 | − | 1.17481i | −0.469788 | − | 0.882779i | \(-0.655670\pi\) |
0.956409 | − | 0.292029i | \(-0.0943304\pi\) | |||||||
\(174\) | 0.798996 | − | 0.182366i | 0.0605717 | − | 0.0138251i | ||||
\(175\) | −3.63672 | + | 5.12548i | −0.274910 | + | 0.387450i | ||||
\(176\) | −8.31650 | − | 7.43208i | −0.626880 | − | 0.560214i | ||||
\(177\) | −2.19351 | − | 1.21231i | −0.164874 | − | 0.0911226i | ||||
\(178\) | 3.68055 | + | 3.68055i | 0.275869 | + | 0.275869i | ||||
\(179\) | −8.28080 | − | 8.28080i | −0.618936 | − | 0.618936i | 0.326322 | − | 0.945259i | \(-0.394191\pi\) |
−0.945259 | + | 0.326322i | \(0.894191\pi\) | |||||||
\(180\) | −26.1500 | − | 14.4526i | −1.94911 | − | 1.07723i | ||||
\(181\) | 0.688065 | − | 12.2521i | 0.0511435 | − | 0.910694i | −0.862975 | − | 0.505247i | \(-0.831401\pi\) |
0.914118 | − | 0.405447i | \(-0.132884\pi\) | |||||||
\(182\) | 5.95835 | − | 3.29306i | 0.441662 | − | 0.244098i | ||||
\(183\) | 1.44197 | − | 2.99429i | 0.106594 | − | 0.221344i | ||||
\(184\) | −10.3724 | − | 1.76234i | −0.764661 | − | 0.129921i | ||||
\(185\) | 20.9436 | + | 2.35978i | 1.53980 | + | 0.173494i | ||||
\(186\) | −0.968851 | − | 4.24481i | −0.0710396 | − | 0.311245i | ||||
\(187\) | 22.1202 | − | 7.02279i | 1.61759 | − | 0.513557i | ||||
\(188\) | −10.9570 | + | 13.7397i | −0.799124 | + | 1.00207i | ||||
\(189\) | −0.148934 | − | 1.32182i | −0.0108333 | − | 0.0961484i | ||||
\(190\) | 14.4811 | + | 10.2749i | 1.05057 | + | 0.745420i | ||||
\(191\) | −5.00503 | − | 10.3930i | −0.362151 | − | 0.752014i | 0.637682 | − | 0.770300i | \(-0.279893\pi\) |
−0.999833 | + | 0.0182856i | \(0.994179\pi\) | |||||||
\(192\) | 2.75685 | + | 3.08492i | 0.198959 | + | 0.222635i | ||||
\(193\) | 23.8433 | − | 4.05113i | 1.71628 | − | 0.291607i | 0.775677 | − | 0.631130i | \(-0.217408\pi\) |
0.940598 | + | 0.339523i | \(0.110266\pi\) | |||||||
\(194\) | −2.35184 | − | 13.8419i | −0.168852 | − | 0.993792i | ||||
\(195\) | 1.92028 | + | 5.48783i | 0.137514 | + | 0.392992i | ||||
\(196\) | −16.9002 | − | 5.91362i | −1.20715 | − | 0.422401i | ||||
\(197\) | −1.81840 | − | 10.7023i | −0.129556 | − | 0.762510i | −0.973946 | − | 0.226781i | \(-0.927180\pi\) |
0.844390 | − | 0.535729i | \(-0.179963\pi\) | |||||||
\(198\) | 34.0096 | + | 9.79801i | 2.41696 | + | 0.696314i | ||||
\(199\) | 10.5104 | − | 5.80888i | 0.745061 | − | 0.411781i | −0.0651830 | − | 0.997873i | \(-0.520763\pi\) |
0.810244 | + | 0.586093i | \(0.199335\pi\) | |||||||
\(200\) | 6.45884 | + | 13.4119i | 0.456709 | + | 0.948365i | ||||
\(201\) | −4.04966 | − | 0.688065i | −0.285641 | − | 0.0485323i | ||||
\(202\) | −27.6941 | − | 3.12037i | −1.94855 | − | 0.219549i | ||||
\(203\) | 0.170301 | + | 0.746137i | 0.0119528 | + | 0.0523686i | ||||
\(204\) | −3.69105 | + | 0.729855i | −0.258426 | + | 0.0511000i | ||||
\(205\) | −5.50932 | + | 6.90847i | −0.384788 | + | 0.482509i | ||||
\(206\) | 12.4811 | − | 4.36732i | 0.869599 | − | 0.304286i | ||||
\(207\) | −18.1973 | + | 5.24255i | −1.26480 | + | 0.364382i | ||||
\(208\) | 9.14675i | 0.634213i | ||||||||
\(209\) | −11.2285 | − | 4.65100i | −0.776692 | − | 0.321716i | ||||
\(210\) | −0.898528 | + | 1.62576i | −0.0620044 | + | 0.112188i | ||||
\(211\) | 2.47085 | − | 2.76488i | 0.170100 | − | 0.190342i | −0.654493 | − | 0.756068i | \(-0.727118\pi\) |
0.824594 | + | 0.565725i | \(0.191404\pi\) | |||||||
\(212\) | 10.1765 | − | 6.39431i | 0.698924 | − | 0.439163i | ||||
\(213\) | −1.48160 | + | 2.35795i | −0.101517 | + | 0.161564i | ||||
\(214\) | 8.13879 | − | 3.37120i | 0.556356 | − | 0.230450i | ||||
\(215\) | −24.5094 | − | 3.62157i | −1.67153 | − | 0.246989i | ||||
\(216\) | −2.91092 | − | 1.20574i | −0.198063 | − | 0.0820404i | ||||
\(217\) | 3.96399 | − | 0.904755i | 0.269093 | − | 0.0614188i | ||||
\(218\) | −3.51851 | − | 2.49652i | −0.238304 | − | 0.169086i | ||||
\(219\) | 0.168105 | − | 0.480417i | 0.0113595 | − | 0.0324635i | ||||
\(220\) | −36.2972 | − | 45.5152i | −2.44716 | − | 3.06864i | ||||
\(221\) | −16.3821 | − | 9.68858i | −1.10198 | − | 0.651724i | ||||
\(222\) | 4.04753 | 0.271652 | ||||||||
\(223\) | 20.6746 | + | 2.32947i | 1.38448 | + | 0.155993i | 0.772566 | − | 0.634935i | \(-0.218973\pi\) |
0.611910 | + | 0.790928i | \(0.290402\pi\) | |||||||
\(224\) | −3.80074 | + | 3.39655i | −0.253948 | + | 0.226942i | ||||
\(225\) | 20.9487 | + | 16.7060i | 1.39658 | + | 1.11374i | ||||
\(226\) | 11.7471 | + | 13.1450i | 0.781403 | + | 0.874390i | ||||
\(227\) | −5.43614 | + | 3.85715i | −0.360809 | + | 0.256008i | −0.744741 | − | 0.667354i | \(-0.767427\pi\) |
0.383932 | + | 0.923362i | \(0.374570\pi\) | |||||||
\(228\) | 1.72449 | + | 0.953093i | 0.114207 | + | 0.0631202i | ||||
\(229\) | −7.71464 | + | 12.2778i | −0.509798 | + | 0.811338i | −0.998118 | − | 0.0613262i | \(-0.980467\pi\) |
0.488320 | + | 0.872665i | \(0.337610\pi\) | |||||||
\(230\) | 50.8826 | + | 17.8046i | 3.35510 | + | 1.17400i | ||||
\(231\) | 0.351982 | − | 1.22176i | 0.0231587 | − | 0.0803858i | ||||
\(232\) | 1.74195 | + | 0.501846i | 0.114364 | + | 0.0329478i | ||||
\(233\) | 11.6198 | − | 16.3766i | 0.761238 | − | 1.07286i | −0.233694 | − | 0.972310i | \(-0.575081\pi\) |
0.994932 | − | 0.100554i | \(-0.0320616\pi\) | |||||||
\(234\) | −12.5935 | − | 26.1506i | −0.823262 | − | 1.70952i | ||||
\(235\) | 18.0862 | − | 16.1628i | 1.17981 | − | 1.05435i | ||||
\(236\) | −10.9490 | − | 17.4253i | −0.712720 | − | 1.13429i | ||||
\(237\) | −0.606662 | + | 2.65796i | −0.0394070 | + | 0.172653i | ||||
\(238\) | −1.17954 | − | 5.96523i | −0.0764583 | − | 0.386669i | ||||
\(239\) | −14.6293 | + | 7.04512i | −0.946293 | + | 0.455711i | −0.842385 | − | 0.538876i | \(-0.818849\pi\) |
−0.103908 | + | 0.994587i | \(0.533135\pi\) | |||||||
\(240\) | −1.32781 | − | 2.11320i | −0.0857099 | − | 0.136407i | ||||
\(241\) | −9.21753 | − | 16.6779i | −0.593754 | − | 1.07432i | −0.987874 | − | 0.155257i | \(-0.950379\pi\) |
0.394120 | − | 0.919059i | \(-0.371049\pi\) | |||||||
\(242\) | 35.1976 | + | 28.0692i | 2.26259 | + | 1.80435i | ||||
\(243\) | −8.54691 | + | 0.479984i | −0.548284 | + | 0.0307910i | ||||
\(244\) | 22.2565 | − | 15.7919i | 1.42483 | − | 1.01097i | ||||
\(245\) | 21.6294 | + | 11.9541i | 1.38185 | + | 0.763722i | ||||
\(246\) | −0.902830 | + | 1.43685i | −0.0575623 | + | 0.0916099i | ||||
\(247\) | 3.29188 | + | 9.40766i | 0.209457 | + | 0.598595i | ||||
\(248\) | 2.66615 | − | 9.25441i | 0.169301 | − | 0.587655i | ||||
\(249\) | −0.258426 | + | 4.60170i | −0.0163771 | + | 0.291621i | ||||
\(250\) | −9.73243 | − | 33.7820i | −0.615533 | − | 2.13656i | ||||
\(251\) | 7.84813i | 0.495369i | 0.968841 | + | 0.247685i | \(0.0796697\pi\) | ||||
−0.968841 | + | 0.247685i | \(0.920330\pi\) | |||||||
\(252\) | 2.05053 | − | 4.95041i | 0.129171 | − | 0.311847i | ||||
\(253\) | −36.6667 | − | 4.13135i | −2.30522 | − | 0.259736i | ||||
\(254\) | −29.1573 | + | 14.0414i | −1.82949 | + | 0.881036i | ||||
\(255\) | 5.19128 | − | 0.139773i | 0.325091 | − | 0.00875295i | ||||
\(256\) | 0.272700 | + | 1.19478i | 0.0170438 | + | 0.0746736i | ||||
\(257\) | 13.7166 | − | 13.7166i | 0.855617 | − | 0.855617i | −0.135201 | − | 0.990818i | \(-0.543168\pi\) |
0.990818 | + | 0.135201i | \(0.0431681\pi\) | |||||||
\(258\) | −4.75514 | − | 0.164123i | −0.296042 | − | 0.0102178i | ||||
\(259\) | 3.77976i | 0.234863i | ||||||||
\(260\) | −7.99708 | + | 47.0674i | −0.495958 | + | 2.91900i | ||||
\(261\) | 3.21686 | − | 0.546566i | 0.199119 | − | 0.0338316i | ||||
\(262\) | −21.2428 | + | 23.7707i | −1.31238 | + | 1.46856i | ||||
\(263\) | −0.337335 | + | 2.99393i | −0.0208010 | + | 0.184614i | −0.999816 | − | 0.0191734i | \(-0.993897\pi\) |
0.979015 | + | 0.203787i | \(0.0653251\pi\) | |||||||
\(264\) | −2.12954 | − | 2.12954i | −0.131064 | − | 0.131064i | ||||
\(265\) | −15.3258 | + | 6.34817i | −0.941459 | + | 0.389965i | ||||
\(266\) | −1.54032 | + | 2.78701i | −0.0944434 | + | 0.170882i | ||||
\(267\) | −0.531222 | − | 0.594438i | −0.0325103 | − | 0.0363790i | ||||
\(268\) | −26.3711 | − | 21.0303i | −1.61087 | − | 1.28463i | ||||
\(269\) | 9.13502 | − | 8.16356i | 0.556972 | − | 0.497741i | −0.339641 | − | 0.940555i | \(-0.610306\pi\) |
0.896613 | + | 0.442814i | \(0.146020\pi\) | |||||||
\(270\) | 13.6694 | + | 8.58908i | 0.831895 | + | 0.522714i | ||||
\(271\) | 12.0224 | + | 15.0757i | 0.730311 | + | 0.915781i | 0.998872 | − | 0.0474814i | \(-0.0151195\pi\) |
−0.268561 | + | 0.963263i | \(0.586548\pi\) | |||||||
\(272\) | 7.78125 | + | 2.48981i | 0.471808 | + | 0.150967i | ||||
\(273\) | −0.939433 | + | 0.452407i | −0.0568570 | + | 0.0273809i | ||||
\(274\) | 3.47915 | + | 30.8783i | 0.210183 | + | 1.86543i | ||||
\(275\) | 25.2539 | + | 45.6935i | 1.52287 | + | 2.75542i | ||||
\(276\) | 5.83203 | + | 1.33112i | 0.351047 | + | 0.0801242i | ||||
\(277\) | −13.4613 | + | 0.755970i | −0.808810 | + | 0.0454218i | −0.455670 | − | 0.890149i | \(-0.650600\pi\) |
−0.353140 | + | 0.935570i | \(0.614886\pi\) | |||||||
\(278\) | 0.827427 | − | 14.7337i | 0.0496258 | − | 0.883669i | ||||
\(279\) | −2.90373 | − | 17.0902i | −0.173842 | − | 1.02316i | ||||
\(280\) | −3.47902 | + | 2.18602i | −0.207911 | + | 0.130639i | ||||
\(281\) | 6.88152 | + | 19.6663i | 0.410517 | + | 1.17319i | 0.944732 | + | 0.327842i | \(0.106321\pi\) |
−0.534215 | + | 0.845348i | \(0.679393\pi\) | |||||||
\(282\) | 3.10396 | − | 3.47333i | 0.184838 | − | 0.206834i | ||||
\(283\) | −14.7412 | + | 2.50463i | −0.876272 | + | 0.148885i | −0.588191 | − | 0.808722i | \(-0.700160\pi\) |
−0.288080 | + | 0.957606i | \(0.593017\pi\) | |||||||
\(284\) | −20.0138 | + | 11.0612i | −1.18760 | + | 0.656362i | ||||
\(285\) | −2.12622 | − | 1.69560i | −0.125946 | − | 0.100439i | ||||
\(286\) | −3.17101 | − | 56.4650i | −0.187506 | − | 3.33885i | ||||
\(287\) | −1.34179 | − | 0.843102i | −0.0792033 | − | 0.0497667i | ||||
\(288\) | 13.5498 | + | 16.9909i | 0.798430 | + | 1.00120i | ||||
\(289\) | −12.7015 | + | 11.2992i | −0.747149 | + | 0.664657i | ||||
\(290\) | −8.36859 | − | 4.03010i | −0.491420 | − | 0.236656i | ||||
\(291\) | 0.240772 | + | 2.13691i | 0.0141143 | + | 0.125268i | ||||
\(292\) | 3.11636 | − | 2.78495i | 0.182371 | − | 0.162977i | ||||
\(293\) | 10.7866 | − | 8.60201i | 0.630158 | − | 0.502535i | −0.255538 | − | 0.966799i | \(-0.582253\pi\) |
0.885697 | + | 0.464264i | \(0.153681\pi\) | |||||||
\(294\) | 4.38470 | + | 1.81620i | 0.255721 | + | 0.105923i | ||||
\(295\) | 10.8700 | + | 26.2425i | 0.632876 | + | 1.52790i | ||||
\(296\) | 7.83584 | + | 4.33071i | 0.455449 | + | 0.251718i | ||||
\(297\) | −10.4301 | − | 3.64964i | −0.605214 | − | 0.211774i | ||||
\(298\) | 2.63292 | − | 1.65437i | 0.152521 | − | 0.0958353i | ||||
\(299\) | 17.5106 | + | 24.6788i | 1.01266 | + | 1.42721i | ||||
\(300\) | −3.23900 | − | 7.81963i | −0.187004 | − | 0.451467i | ||||
\(301\) | 0.153265 | − | 4.44056i | 0.00883406 | − | 0.255950i | ||||
\(302\) | 50.5556i | 2.90915i | ||||||||
\(303\) | 4.20819 | + | 0.715001i | 0.241754 | + | 0.0410757i | ||||
\(304\) | −2.27624 | − | 3.62261i | −0.130551 | − | 0.207771i | ||||
\(305\) | −33.9363 | + | 16.3428i | −1.94318 | + | 0.935788i | ||||
\(306\) | −25.6747 | + | 3.59503i | −1.46772 | + | 0.205514i | ||||
\(307\) | −4.07555 | −0.232604 | −0.116302 | − | 0.993214i | \(-0.537104\pi\) | ||||
−0.116302 | + | 0.993214i | \(0.537104\pi\) | |||||||
\(308\) | 7.38247 | − | 7.38247i | 0.420655 | − | 0.420655i | ||||
\(309\) | −1.94612 | + | 0.560667i | −0.110711 | + | 0.0318952i | ||||
\(310\) | −21.4106 | + | 44.4597i | −1.21604 | + | 2.52514i | ||||
\(311\) | 11.5766 | − | 6.39814i | 0.656447 | − | 0.362805i | −0.120193 | − | 0.992751i | \(-0.538351\pi\) |
0.776639 | + | 0.629945i | \(0.216923\pi\) | |||||||
\(312\) | −0.138482 | + | 2.46589i | −0.00783998 | + | 0.139604i | ||||
\(313\) | 11.1894 | + | 15.7700i | 0.632462 | + | 0.891372i | 0.999242 | − | 0.0389356i | \(-0.0123967\pi\) |
−0.366779 | + | 0.930308i | \(0.619540\pi\) | |||||||
\(314\) | −0.445252 | + | 3.95172i | −0.0251270 | + | 0.223009i | ||||
\(315\) | −3.93474 | + | 6.26211i | −0.221698 | + | 0.352830i | ||||
\(316\) | −14.9174 | + | 16.6926i | −0.839171 | + | 0.939033i | ||||
\(317\) | 18.5767 | + | 5.35186i | 1.04337 | + | 0.300590i | 0.754171 | − | 0.656678i | \(-0.228039\pi\) |
0.289201 | + | 0.957268i | \(0.406610\pi\) | |||||||
\(318\) | −2.78822 | + | 1.54099i | −0.156356 | + | 0.0864146i | ||||
\(319\) | 6.19834 | + | 1.41473i | 0.347040 | + | 0.0792097i | ||||
\(320\) | −2.62917 | − | 46.8166i | −0.146975 | − | 2.61713i | ||||
\(321\) | −1.27354 | + | 0.445630i | −0.0710819 | + | 0.0248726i | ||||
\(322\) | −2.15127 | + | 9.42534i | −0.119886 | + | 0.525254i | ||||
\(323\) | 8.89928 | − | 0.239610i | 0.495169 | − | 0.0133323i | ||||
\(324\) | −19.7604 | − | 9.51611i | −1.09780 | − | 0.528673i | ||||
\(325\) | 14.1408 | − | 40.4120i | 0.784388 | − | 2.24165i | ||||
\(326\) | −16.1984 | − | 11.4934i | −0.897149 | − | 0.636561i | ||||
\(327\) | 0.516613 | + | 0.411985i | 0.0285687 | + | 0.0227828i | ||||
\(328\) | −3.28521 | + | 1.81567i | −0.181396 | + | 0.100254i | ||||
\(329\) | 3.24355 | + | 2.89861i | 0.178823 | + | 0.159806i | ||||
\(330\) | 8.92951 | + | 12.5850i | 0.491553 | + | 0.692779i | ||||
\(331\) | −1.04663 | + | 9.28912i | −0.0575281 | + | 0.510576i | 0.931596 | + | 0.363495i | \(0.118417\pi\) |
−0.989124 | + | 0.147081i | \(0.953012\pi\) | |||||||
\(332\) | −20.1353 | + | 32.0451i | −1.10507 | + | 1.75870i | ||||
\(333\) | 16.0896 | + | 0.903574i | 0.881706 | + | 0.0495155i | ||||
\(334\) | 20.7054 | + | 5.96513i | 1.13295 | + | 0.326398i | ||||
\(335\) | 31.0219 | + | 34.7136i | 1.69491 | + | 1.89660i | ||||
\(336\) | 0.349933 | − | 0.279062i | 0.0190904 | − | 0.0152241i | ||||
\(337\) | −0.521718 | + | 1.25954i | −0.0284198 | + | 0.0686114i | −0.937452 | − | 0.348114i | \(-0.886822\pi\) |
0.909032 | + | 0.416725i | \(0.136822\pi\) | |||||||
\(338\) | −12.7871 | + | 12.7871i | −0.695525 | + | 0.695525i | ||||
\(339\) | −1.68348 | − | 2.11102i | −0.0914340 | − | 0.114655i | ||||
\(340\) | 37.8640 | + | 19.6153i | 2.05346 | + | 1.06379i | ||||
\(341\) | 7.51602 | − | 32.9298i | 0.407015 | − | 1.78325i | ||||
\(342\) | 11.4955 | + | 7.22309i | 0.621604 | + | 0.390580i | ||||
\(343\) | −3.51114 | + | 8.47665i | −0.189584 | + | 0.457696i | ||||
\(344\) | −9.03014 | − | 5.40557i | −0.486873 | − | 0.291449i | ||||
\(345\) | −7.62809 | − | 3.15966i | −0.410682 | − | 0.170110i | ||||
\(346\) | −29.6893 | + | 21.0657i | −1.59611 | + | 1.13250i | ||||
\(347\) | 1.37174 | + | 8.07351i | 0.0736391 | + | 0.433409i | 0.998579 | + | 0.0532949i | \(0.0169723\pi\) |
−0.924940 | + | 0.380114i | \(0.875885\pi\) | |||||||
\(348\) | −0.972875 | − | 0.340424i | −0.0521516 | − | 0.0182486i | ||||
\(349\) | 3.47581 | − | 30.8487i | 0.186056 | − | 1.65129i | −0.459938 | − | 0.887951i | \(-0.652128\pi\) |
0.645994 | − | 0.763342i | \(-0.276443\pi\) | |||||||
\(350\) | 12.6376 | − | 5.23465i | 0.675506 | − | 0.279804i | ||||
\(351\) | 3.46789 | + | 8.37223i | 0.185102 | + | 0.446876i | ||||
\(352\) | 11.7224 | + | 40.6893i | 0.624806 | + | 2.16875i | ||||
\(353\) | −13.6034 | + | 28.2478i | −0.724036 | + | 1.50348i | 0.134605 | + | 0.990899i | \(0.457023\pi\) |
−0.858641 | + | 0.512577i | \(0.828691\pi\) | |||||||
\(354\) | 2.63865 | + | 4.77428i | 0.140243 | + | 0.253750i | ||||
\(355\) | 29.7907 | − | 10.4242i | 1.58113 | − | 0.553260i | ||||
\(356\) | −1.45668 | − | 6.38214i | −0.0772040 | − | 0.338253i | ||||
\(357\) | 0.129148 | + | 0.922335i | 0.00683521 | + | 0.0488152i | ||||
\(358\) | 5.67189 | + | 24.8502i | 0.299769 | + | 1.31337i | ||||
\(359\) | 8.10966 | − | 23.1761i | 0.428011 | − | 1.22319i | −0.504931 | − | 0.863160i | \(-0.668482\pi\) |
0.932942 | − | 0.360026i | \(-0.117232\pi\) | |||||||
\(360\) | 8.47372 | + | 15.3320i | 0.446604 | + | 0.808070i | ||||
\(361\) | 11.2099 | + | 8.93957i | 0.589993 | + | 0.470504i | ||||
\(362\) | −15.4560 | + | 21.7832i | −0.812349 | + | 1.14490i | ||||
\(363\) | −5.14138 | − | 4.59462i | −0.269852 | − | 0.241155i | ||||
\(364\) | −8.54850 | − | 0.480073i | −0.448063 | − | 0.0251627i | ||||
\(365\) | −4.88441 | + | 3.06908i | −0.255662 | + | 0.160643i | ||||
\(366\) | −6.12485 | + | 3.84850i | −0.320151 | + | 0.201164i | ||||
\(367\) | −13.2049 | − | 0.741569i | −0.689288 | − | 0.0387096i | −0.292020 | − | 0.956412i | \(-0.594327\pi\) |
−0.397268 | + | 0.917703i | \(0.630042\pi\) | |||||||
\(368\) | −9.68534 | − | 8.65535i | −0.504883 | − | 0.451191i | ||||
\(369\) | −3.90967 | + | 5.51016i | −0.203529 | + | 0.286848i | ||||
\(370\) | −35.8652 | − | 28.6015i | −1.86454 | − | 1.48692i | ||||
\(371\) | −1.43905 | − | 2.60376i | −0.0747116 | − | 0.135180i | ||||
\(372\) | −1.80856 | + | 5.16858i | −0.0937696 | + | 0.267978i | ||||
\(373\) | −5.31372 | − | 23.2809i | −0.275134 | − | 1.20544i | −0.903865 | − | 0.427818i | \(-0.859282\pi\) |
0.628731 | − | 0.777623i | \(-0.283575\pi\) | |||||||
\(374\) | −48.8987 | − | 12.6726i | −2.52849 | − | 0.655284i | ||||
\(375\) | 1.19817 | + | 5.24954i | 0.0618734 | + | 0.271085i | ||||
\(376\) | 9.72547 | − | 3.40309i | 0.501553 | − | 0.175501i | ||||
\(377\) | −2.52204 | − | 4.56329i | −0.129892 | − | 0.235022i | ||||
\(378\) | −1.25619 | + | 2.60850i | −0.0646114 | + | 0.134167i | ||||
\(379\) | −3.41297 | − | 11.8467i | −0.175313 | − | 0.608523i | −0.999131 | − | 0.0416703i | \(-0.986732\pi\) |
0.823819 | − | 0.566853i | \(-0.191839\pi\) | |||||||
\(380\) | −8.54579 | − | 20.6314i | −0.438390 | − | 1.05837i | ||||
\(381\) | 4.57933 | − | 1.89682i | 0.234606 | − | 0.0971770i | ||||
\(382\) | −2.81114 | + | 24.9496i | −0.143830 | + | 1.27653i | ||||
\(383\) | −1.23974 | − | 0.433805i | −0.0633480 | − | 0.0221664i | 0.298419 | − | 0.954435i | \(-0.403541\pi\) |
−0.361767 | + | 0.932269i | \(0.617826\pi\) | |||||||
\(384\) | −0.668244 | − | 3.93300i | −0.0341012 | − | 0.200705i | ||||
\(385\) | −11.7524 | + | 8.33876i | −0.598957 | + | 0.424983i | ||||
\(386\) | −48.6329 | − | 20.1444i | −2.47535 | − | 1.02532i | ||||
\(387\) | −18.8659 | − | 1.71396i | −0.959007 | − | 0.0871255i | ||||
\(388\) | −6.75745 | + | 16.3139i | −0.343057 | + | 0.828214i | ||||
\(389\) | −16.7764 | − | 10.5413i | −0.850596 | − | 0.534465i | 0.0347510 | − | 0.999396i | \(-0.488936\pi\) |
−0.885347 | + | 0.464931i | \(0.846079\pi\) | |||||||
\(390\) | 2.81594 | − | 12.3374i | 0.142591 | − | 0.624730i | ||||
\(391\) | 25.7611 | − | 8.17869i | 1.30279 | − | 0.413614i | ||||
\(392\) | 6.54531 | + | 8.20756i | 0.330588 | + | 0.414544i | ||||
\(393\) | 3.45259 | − | 3.45259i | 0.174160 | − | 0.174160i | ||||
\(394\) | −9.04206 | + | 21.8295i | −0.455532 | + | 1.09975i | ||||
\(395\) | 24.1579 | − | 19.2653i | 1.21552 | − | 0.969343i | ||||
\(396\) | −29.6608 | − | 33.1904i | −1.49051 | − | 1.66788i | ||||
\(397\) | −22.4838 | − | 6.47748i | −1.12843 | − | 0.325096i | −0.340126 | − | 0.940380i | \(-0.610470\pi\) |
−0.788305 | + | 0.615284i | \(0.789041\pi\) | |||||||
\(398\) | −26.0967 | − | 1.46556i | −1.30811 | − | 0.0734618i | ||||
\(399\) | 0.259481 | − | 0.412962i | 0.0129903 | − | 0.0206740i | ||||
\(400\) | −2.05773 | + | 18.2628i | −0.102886 | + | 0.913142i | ||||
\(401\) | −1.99258 | − | 2.80827i | −0.0995045 | − | 0.140238i | 0.762789 | − | 0.646648i | \(-0.223830\pi\) |
−0.862293 | + | 0.506409i | \(0.830972\pi\) | |||||||
\(402\) | 6.66650 | + | 5.95755i | 0.332495 | + | 0.297136i | ||||
\(403\) | −24.2433 | + | 13.3988i | −1.20765 | + | 0.667443i | ||||
\(404\) | 27.4035 | + | 21.8536i | 1.36338 | + | 1.08726i | ||||
\(405\) | 24.6885 | + | 17.5174i | 1.22678 | + | 0.870449i | ||||
\(406\) | 0.550170 | − | 1.57229i | 0.0273045 | − | 0.0780316i | ||||
\(407\) | 28.2898 | + | 13.6237i | 1.40228 | + | 0.675300i | ||||
\(408\) | 2.06007 | + | 0.789043i | 0.101989 | + | 0.0390634i | ||||
\(409\) | −6.98748 | + | 30.6141i | −0.345508 | + | 1.51377i | 0.441744 | + | 0.897141i | \(0.354360\pi\) |
−0.787253 | + | 0.616631i | \(0.788497\pi\) | |||||||
\(410\) | 18.1533 | − | 6.35213i | 0.896530 | − | 0.313709i | ||||
\(411\) | −0.266856 | − | 4.75180i | −0.0131630 | − | 0.234389i | ||||
\(412\) | −16.2134 | − | 3.70060i | −0.798776 | − | 0.182315i | ||||
\(413\) | −4.45843 | + | 2.46409i | −0.219385 | + | 0.121250i | ||||
\(414\) | 39.6074 | + | 11.4107i | 1.94660 | + | 0.560805i | ||||
\(415\) | 34.8075 | − | 38.9496i | 1.70863 | − | 1.91196i | ||||
\(416\) | 18.4752 | − | 29.4031i | 0.905821 | − | 1.44161i | ||||
\(417\) | −0.253061 | + | 2.24598i | −0.0123924 | + | 0.109986i | ||||
\(418\) | 15.3076 | + | 21.5741i | 0.748721 | + | 1.05522i | ||||
\(419\) | 1.35838 | − | 24.1883i | 0.0663614 | − | 1.18167i | −0.771659 | − | 0.636036i | \(-0.780573\pi\) |
0.838021 | − | 0.545638i | \(-0.183713\pi\) | |||||||
\(420\) | 2.04468 | − | 1.13005i | 0.0997700 | − | 0.0551409i | ||||
\(421\) | 9.08312 | − | 18.8613i | 0.442684 | − | 0.919243i | −0.553573 | − | 0.832801i | \(-0.686736\pi\) |
0.996257 | − | 0.0864422i | \(-0.0275498\pi\) | |||||||
\(422\) | −7.75535 | + | 2.23428i | −0.377524 | + | 0.108763i | ||||
\(423\) | 13.1142 | − | 13.1142i | 0.637633 | − | 0.637633i | ||||
\(424\) | −7.04668 | −0.342217 | ||||||||
\(425\) | −30.5297 | − | 23.0301i | −1.48091 | − | 1.11713i | ||||
\(426\) | 5.46099 | − | 2.62987i | 0.264586 | − | 0.127418i | ||||
\(427\) | −3.59389 | − | 5.71965i | −0.173921 | − | 0.276793i | ||||
\(428\) | −10.9227 | − | 1.85585i | −0.527970 | − | 0.0897057i | ||||
\(429\) | 8.66189i | 0.418200i | ||||||||
\(430\) | 40.9756 | + | 35.0562i | 1.97602 | + | 1.69056i | ||||
\(431\) | −14.7383 | − | 35.5813i | −0.709917 | − | 1.71389i | −0.700209 | − | 0.713938i | \(-0.746910\pi\) |
−0.00970821 | − | 0.999953i | \(-0.503090\pi\) | |||||||
\(432\) | −2.25099 | − | 3.17248i | −0.108301 | − | 0.152636i | ||||
\(433\) | 30.8623 | − | 19.3921i | 1.48315 | − | 0.931923i | 0.484789 | − | 0.874631i | \(-0.338896\pi\) |
0.998358 | − | 0.0572913i | \(-0.0182464\pi\) | |||||||
\(434\) | −8.35310 | − | 2.92288i | −0.400962 | − | 0.140303i | ||||
\(435\) | 1.24512 | + | 0.688152i | 0.0596988 | + | 0.0329944i | ||||
\(436\) | 2.07639 | + | 5.01285i | 0.0994411 | + | 0.240072i | ||||
\(437\) | −13.0766 | − | 5.41652i | −0.625541 | − | 0.259107i | ||||
\(438\) | −0.866128 | + | 0.690714i | −0.0413852 | + | 0.0330036i | ||||
\(439\) | −8.15943 | + | 7.29171i | −0.389428 | + | 0.348015i | −0.837940 | − | 0.545763i | \(-0.816240\pi\) |
0.448511 | + | 0.893777i | \(0.351954\pi\) | |||||||
\(440\) | 3.82166 | + | 33.9182i | 0.182191 | + | 1.61699i | ||||
\(441\) | 17.0245 | + | 8.19856i | 0.810690 | + | 0.390408i | ||||
\(442\) | 18.9719 | + | 36.8259i | 0.902404 | + | 1.75163i | ||||
\(443\) | 1.82312 | + | 2.28612i | 0.0866191 | + | 0.108617i | 0.823253 | − | 0.567675i | \(-0.192157\pi\) |
−0.736633 | + | 0.676292i | \(0.763586\pi\) | |||||||
\(444\) | −4.31021 | − | 2.70828i | −0.204554 | − | 0.128530i | ||||
\(445\) | 0.506618 | + | 9.02117i | 0.0240160 | + | 0.427644i | ||||
\(446\) | −35.4046 | − | 28.2342i | −1.67646 | − | 1.33693i | ||||
\(447\) | −0.416835 | + | 0.230376i | −0.0197156 | + | 0.0108964i | ||||
\(448\) | 8.29043 | − | 1.40860i | 0.391686 | − | 0.0665502i | ||||
\(449\) | −10.5592 | + | 11.8157i | −0.498319 | + | 0.557619i | −0.940714 | − | 0.339201i | \(-0.889843\pi\) |
0.442395 | + | 0.896820i | \(0.354129\pi\) | |||||||
\(450\) | −19.2617 | − | 55.0468i | −0.908005 | − | 2.59493i | ||||
\(451\) | −11.1466 | + | 7.00385i | −0.524871 | + | 0.329798i | ||||
\(452\) | −3.71387 | − | 21.8583i | −0.174686 | − | 1.02813i | ||||
\(453\) | 0.434162 | − | 7.73097i | 0.0203987 | − | 0.363233i | ||||
\(454\) | 14.4851 | − | 0.813463i | 0.679817 | − | 0.0381777i | ||||
\(455\) | 11.5212 | + | 2.62964i | 0.540123 | + | 0.123280i | ||||
\(456\) | −0.558810 | − | 1.01109i | −0.0261687 | − | 0.0473486i | ||||
\(457\) | 3.42624 | + | 30.4088i | 0.160273 | + | 1.42246i | 0.774121 | + | 0.633038i | \(0.218192\pi\) |
−0.613848 | + | 0.789424i | \(0.710379\pi\) | |||||||
\(458\) | 28.4352 | − | 13.6937i | 1.32869 | − | 0.639864i | ||||
\(459\) | 8.06634 | − | 0.671194i | 0.376504 | − | 0.0313287i | ||||
\(460\) | −42.2715 | − | 53.0067i | −1.97092 | − | 2.47145i | ||||
\(461\) | −29.0873 | − | 18.2768i | −1.35473 | − | 0.851235i | −0.358136 | − | 0.933669i | \(-0.616588\pi\) |
−0.996597 | + | 0.0824342i | \(0.973731\pi\) | |||||||
\(462\) | −2.06347 | + | 1.84403i | −0.0960015 | + | 0.0857922i | ||||
\(463\) | −11.1831 | − | 8.91820i | −0.519722 | − | 0.414464i | 0.328182 | − | 0.944614i | \(-0.393564\pi\) |
−0.847904 | + | 0.530150i | \(0.822135\pi\) | |||||||
\(464\) | 1.49134 | + | 1.66881i | 0.0692336 | + | 0.0774724i | ||||
\(465\) | 3.65593 | − | 6.61492i | 0.169540 | − | 0.306759i | ||||
\(466\) | −40.3786 | + | 16.7254i | −1.87050 | + | 0.774787i | ||||
\(467\) | −23.2609 | − | 23.2609i | −1.07639 | − | 1.07639i | −0.996830 | − | 0.0795572i | \(-0.974649\pi\) |
−0.0795572 | − | 0.996830i | \(-0.525351\pi\) | |||||||
\(468\) | −4.08714 | + | 36.2744i | −0.188928 | + | 1.67678i | ||||
\(469\) | −5.56342 | + | 6.22547i | −0.256895 | + | 0.287466i | ||||
\(470\) | −52.0483 | + | 8.84336i | −2.40081 | + | 0.407914i | ||||
\(471\) | 0.102025 | − | 0.600475i | 0.00470106 | − | 0.0276684i | ||||
\(472\) | 12.0661i | 0.555386i | ||||||||
\(473\) | −32.6832 | − | 17.1526i | −1.50278 | − | 0.788676i | ||||
\(474\) | 4.19595 | − | 4.19595i | 0.192727 | − | 0.192727i | ||||
\(475\) | 4.45631 | + | 19.5244i | 0.204469 | + | 0.895839i | ||||
\(476\) | −2.73537 | + | 7.14163i | −0.125375 | + | 0.327336i | ||||
\(477\) | −11.4277 | + | 5.50327i | −0.523237 | + | 0.251978i | ||||
\(478\) | 35.1192 | + | 3.95699i | 1.60632 | + | 0.180988i | ||||
\(479\) | −4.29516 | + | 10.3694i | −0.196251 | + | 0.473792i | −0.991117 | − | 0.132993i | \(-0.957541\pi\) |
0.794866 | + | 0.606785i | \(0.207541\pi\) | |||||||
\(480\) | 9.47509i | 0.432477i | ||||||||
\(481\) | −7.12851 | − | 24.7436i | −0.325032 | − | 1.12821i | ||||
\(482\) | −2.32555 | + | 41.4102i | −0.105926 | + | 1.88618i | ||||
\(483\) | 0.409916 | − | 1.42285i | 0.0186518 | − | 0.0647420i | ||||
\(484\) | −18.7003 | − | 53.4423i | −0.850012 | − | 2.42920i | ||||
\(485\) | 12.9668 | − | 20.6366i | 0.588793 | − | 0.937059i | ||||
\(486\) | 16.3073 | + | 9.01271i | 0.739712 | + | 0.408825i | ||||
\(487\) | −14.7052 | + | 10.4339i | −0.666356 | + | 0.472805i | −0.861358 | − | 0.507998i | \(-0.830386\pi\) |
0.195002 | + | 0.980803i | \(0.437529\pi\) | |||||||
\(488\) | −15.9752 | + | 0.897147i | −0.723163 | + | 0.0406120i | ||||
\(489\) | 2.37837 | + | 1.89669i | 0.107554 | + | 0.0857711i | ||||
\(490\) | −26.0188 | − | 47.0775i | −1.17541 | − | 2.12675i | ||||
\(491\) | −8.90533 | − | 14.1728i | −0.401892 | − | 0.639608i | 0.583061 | − | 0.812428i | \(-0.301855\pi\) |
−0.984953 | + | 0.172821i | \(0.944712\pi\) | |||||||
\(492\) | 1.92285 | − | 0.925994i | 0.0866886 | − | 0.0417470i | ||||
\(493\) | −4.56857 | + | 0.903370i | −0.205758 | + | 0.0406858i | ||||
\(494\) | 4.82729 | − | 21.1497i | 0.217190 | − | 0.951572i | ||||
\(495\) | 32.6869 | + | 52.0208i | 1.46917 | + | 2.33816i | ||||
\(496\) | 8.86584 | − | 7.92300i | 0.398088 | − | 0.355753i | ||||
\(497\) | 2.45589 | + | 5.09971i | 0.110162 | + | 0.228753i | ||||
\(498\) | 5.80502 | − | 8.18141i | 0.260129 | − | 0.366618i | ||||
\(499\) | 0.990958 | + | 0.285490i | 0.0443614 | + | 0.0127803i | 0.298942 | − | 0.954271i | \(-0.403366\pi\) |
−0.254581 | + | 0.967051i | \(0.581938\pi\) | |||||||
\(500\) | −12.2402 | + | 42.4866i | −0.547398 | + | 1.90006i | ||||
\(501\) | −3.11506 | − | 1.09001i | −0.139170 | − | 0.0486978i | ||||
\(502\) | 9.08810 | − | 14.4636i | 0.405622 | − | 0.645544i | ||||
\(503\) | −22.4666 | − | 12.4169i | −1.00174 | − | 0.553640i | −0.104189 | − | 0.994558i | \(-0.533225\pi\) |
−0.897548 | + | 0.440917i | \(0.854653\pi\) | |||||||
\(504\) | −2.56219 | + | 1.81797i | −0.114129 | + | 0.0809787i | ||||
\(505\) | −32.2364 | − | 36.0725i | −1.43450 | − | 1.60521i | ||||
\(506\) | 62.7906 | + | 50.0738i | 2.79138 | + | 2.22605i | ||||
\(507\) | 2.06522 | − | 1.84559i | 0.0917195 | − | 0.0819656i | ||||
\(508\) | 40.4450 | + | 4.55705i | 1.79446 | + | 0.202187i | ||||
\(509\) | 10.6366 | 0.471459 | 0.235729 | − | 0.971819i | \(-0.424252\pi\) | ||||
0.235729 | + | 0.971819i | \(0.424252\pi\) | |||||||
\(510\) | −9.72908 | − | 5.75389i | −0.430811 | − | 0.254786i | ||||
\(511\) | −0.645019 | − | 0.808828i | −0.0285340 | − | 0.0357805i | ||||
\(512\) | −7.02393 | + | 20.0732i | −0.310417 | + | 0.887120i | ||||
\(513\) | −3.45696 | − | 2.45285i | −0.152629 | − | 0.108296i | ||||
\(514\) | −41.1626 | + | 9.39510i | −1.81560 | + | 0.414400i | ||||
\(515\) | 21.2065 | + | 8.78402i | 0.934470 | + | 0.387070i | ||||
\(516\) | 4.95393 | + | 3.35654i | 0.218085 | + | 0.147763i | ||||
\(517\) | 33.3858 | − | 13.8289i | 1.46831 | − | 0.608192i | ||||
\(518\) | 4.37695 | − | 6.96587i | 0.192312 | − | 0.306063i | ||||
\(519\) | 4.72101 | − | 2.96641i | 0.207229 | − | 0.130211i | ||||
\(520\) | 18.6521 | − | 20.8718i | 0.817951 | − | 0.915287i | ||||
\(521\) | −19.4867 | + | 35.2585i | −0.853728 | + | 1.54470i | −0.0151743 | + | 0.999885i | \(0.504830\pi\) |
−0.838554 | + | 0.544819i | \(0.816598\pi\) | |||||||
\(522\) | −6.56140 | − | 2.71782i | −0.287185 | − | 0.118956i | ||||
\(523\) | − | 14.4072i | − | 0.629983i | −0.949094 | − | 0.314992i | \(-0.897998\pi\) | ||
0.949094 | − | 0.314992i | \(-0.102002\pi\) | |||||||
\(524\) | 38.5269 | − | 11.0994i | 1.68305 | − | 0.484879i | ||||
\(525\) | −1.97749 | + | 0.691955i | −0.0863049 | + | 0.0301994i | ||||
\(526\) | 4.08865 | − | 5.12701i | 0.178274 | − | 0.223548i | ||||
\(527\) | 4.79932 | + | 24.2714i | 0.209062 | + | 1.05728i | ||||
\(528\) | −0.827370 | − | 3.62494i | −0.0360066 | − | 0.157755i | ||||
\(529\) | −19.8465 | − | 2.23616i | −0.862890 | − | 0.0972243i | ||||
\(530\) | 35.5958 | + | 6.04796i | 1.54618 | + | 0.262707i | ||||
\(531\) | 9.42329 | + | 19.5677i | 0.408936 | + | 0.849164i | ||||
\(532\) | 3.50514 | − | 1.93722i | 0.151967 | − | 0.0839892i | ||||
\(533\) | 10.3739 | + | 2.98867i | 0.449343 | + | 0.129453i | ||||
\(534\) | 0.290654 | + | 1.71067i | 0.0125778 | + | 0.0740278i | ||||
\(535\) | 14.4338 | + | 5.05062i | 0.624030 | + | 0.218357i | ||||
\(536\) | 6.53169 | + | 18.6665i | 0.282126 | + | 0.806269i | ||||
\(537\) | −0.653939 | − | 3.84881i | −0.0282195 | − | 0.166088i | ||||
\(538\) | −26.2887 | + | 4.46663i | −1.13339 | + | 0.192570i | ||||
\(539\) | 24.5333 | + | 27.4527i | 1.05672 | + | 1.18247i | ||||
\(540\) | −8.80945 | − | 18.2930i | −0.379098 | − | 0.787206i | ||||
\(541\) | 29.4741 | + | 20.9130i | 1.26719 | + | 0.899118i | 0.997953 | − | 0.0639557i | \(-0.0203716\pi\) |
0.269236 | + | 0.963074i | \(0.413229\pi\) | |||||||
\(542\) | −4.69908 | − | 41.7055i | −0.201843 | − | 1.79140i | ||||
\(543\) | 2.55061 | − | 3.19836i | 0.109457 | − | 0.137255i | ||||
\(544\) | −19.9845 | − | 23.7208i | −0.856828 | − | 1.01702i | ||||
\(545\) | −1.66645 | − | 7.30121i | −0.0713830 | − | 0.312749i | ||||
\(546\) | 2.25520 | + | 0.254100i | 0.0965138 | + | 0.0108745i | ||||
\(547\) | 20.9280 | + | 3.55581i | 0.894817 | + | 0.152036i | 0.596672 | − | 0.802485i | \(-0.296489\pi\) |
0.298145 | + | 0.954521i | \(0.403632\pi\) | |||||||
\(548\) | 16.9564 | − | 35.2103i | 0.724341 | − | 1.50411i | ||||
\(549\) | −25.2065 | + | 13.9311i | −1.07579 | + | 0.594566i | ||||
\(550\) | 6.37145 | − | 113.454i | 0.271680 | − | 4.83770i | ||||
\(551\) | 2.13447 | + | 1.17968i | 0.0909316 | + | 0.0502561i | ||||
\(552\) | −2.48005 | − | 2.48005i | −0.105558 | − | 0.105558i | ||||
\(553\) | 3.91836 | + | 3.91836i | 0.166626 | + | 0.166626i | ||||
\(554\) | 25.6838 | + | 14.1949i | 1.09120 | + | 0.603084i | ||||
\(555\) | 5.23889 | + | 4.68176i | 0.222379 | + | 0.198730i | ||||
\(556\) | −10.7398 | + | 15.1363i | −0.455467 | + | 0.641921i | ||||
\(557\) | 31.9888 | − | 7.30123i | 1.35541 | − | 0.309363i | 0.517738 | − | 0.855539i | \(-0.326774\pi\) |
0.837670 | + | 0.546176i | \(0.183917\pi\) | |||||||
\(558\) | −14.4389 | + | 34.8587i | −0.611249 | + | 1.47568i | ||||
\(559\) | 7.37144 | + | 29.3585i | 0.311779 | + | 1.24173i | ||||
\(560\) | −5.07274 | −0.214362 | ||||||||
\(561\) | 7.36877 | + | 2.35783i | 0.311110 | + | 0.0995476i | ||||
\(562\) | 10.0912 | − | 44.2125i | 0.425672 | − | 1.86499i | ||||
\(563\) | −9.56704 | + | 27.3410i | −0.403202 | + | 1.15229i | 0.546045 | + | 0.837756i | \(0.316133\pi\) |
−0.949247 | + | 0.314531i | \(0.898153\pi\) | |||||||
\(564\) | −5.62948 | + | 1.62183i | −0.237044 | + | 0.0682912i | ||||
\(565\) | 30.6019i | 1.28743i | ||||||||
\(566\) | 30.0674 | + | 12.4543i | 1.26383 | + | 0.523495i | ||||
\(567\) | −2.62606 | + | 4.75150i | −0.110284 | + | 0.199544i | ||||
\(568\) | 13.3861 | + | 0.751748i | 0.561669 | + | 0.0315426i | ||||
\(569\) | 29.7648 | − | 3.35369i | 1.24780 | − | 0.140594i | 0.536757 | − | 0.843737i | \(-0.319649\pi\) |
0.711048 | + | 0.703143i | \(0.248221\pi\) | |||||||
\(570\) | 1.95499 | + | 5.58705i | 0.0818857 | + | 0.234016i | ||||
\(571\) | 15.4195 | + | 21.7317i | 0.645284 | + | 0.909443i | 0.999671 | − | 0.0256563i | \(-0.00816755\pi\) |
−0.354387 | + | 0.935099i | \(0.615310\pi\) | |||||||
\(572\) | −34.4051 | + | 62.2514i | −1.43855 | + | 2.60286i | ||||
\(573\) | 0.644143 | − | 3.79116i | 0.0269095 | − | 0.158378i | ||||
\(574\) | 1.49653 | + | 3.10757i | 0.0624639 | + | 0.129708i | ||||
\(575\) | 29.4105 | + | 53.2143i | 1.22650 | + | 2.21919i | ||||
\(576\) | −4.01424 | − | 35.6274i | −0.167260 | − | 1.48447i | ||||
\(577\) | 7.85755 | − | 34.4262i | 0.327114 | − | 1.43318i | −0.497490 | − | 0.867470i | \(-0.665745\pi\) |
0.824604 | − | 0.565710i | \(-0.191398\pi\) | |||||||
\(578\) | 36.4926 | − | 6.11538i | 1.51789 | − | 0.254366i | ||||
\(579\) | 7.26396 | + | 3.49814i | 0.301880 | + | 0.145378i | ||||
\(580\) | 6.21508 | + | 9.89125i | 0.258067 | + | 0.410712i | ||||
\(581\) | 7.64016 | + | 5.42098i | 0.316967 | + | 0.224900i | ||||
\(582\) | 2.03081 | − | 4.21701i | 0.0841796 | − | 0.174801i | ||||
\(583\) | −24.6749 | + | 1.38571i | −1.02193 | + | 0.0573903i | ||||
\(584\) | −2.41583 | + | 0.410465i | −0.0999676 | + | 0.0169852i | ||||
\(585\) | 13.9481 | − | 48.4148i | 0.576681 | − | 2.00170i | ||||
\(586\) | −29.8401 | + | 3.36217i | −1.23268 | + | 0.138890i | ||||
\(587\) | 27.1785 | + | 9.51016i | 1.12178 | + | 0.392526i | 0.826529 | − | 0.562895i | \(-0.190312\pi\) |
0.295247 | + | 0.955421i | \(0.404598\pi\) | |||||||
\(588\) | −3.45400 | − | 4.86796i | −0.142441 | − | 0.200751i | ||||
\(589\) | 6.26728 | − | 11.3398i | 0.258239 | − | 0.467248i | ||||
\(590\) | 10.3560 | − | 60.9508i | 0.426348 | − | 2.50931i | ||||
\(591\) | 1.57018 | − | 3.26052i | 0.0645887 | − | 0.134120i | ||||
\(592\) | 5.34671 | + | 9.67414i | 0.219748 | + | 0.397605i | ||||
\(593\) | −25.6653 | + | 8.98068i | −1.05395 | + | 0.368792i | −0.800986 | − | 0.598684i | \(-0.795691\pi\) |
−0.252962 | + | 0.967476i | \(0.581405\pi\) | |||||||
\(594\) | 14.9957 | + | 18.8041i | 0.615283 | + | 0.771540i | ||||
\(595\) | 5.37323 | − | 9.08544i | 0.220281 | − | 0.372467i | ||||
\(596\) | −3.91077 | −0.160191 | ||||||||
\(597\) | 3.97813 | + | 0.448227i | 0.162814 | + | 0.0183447i | ||||
\(598\) | −3.69294 | − | 65.7588i | −0.151015 | − | 2.68908i | ||||
\(599\) | −8.31872 | − | 1.89869i | −0.339894 | − | 0.0775785i | 0.0491672 | − | 0.998791i | \(-0.484343\pi\) |
−0.389061 | + | 0.921212i | \(0.627200\pi\) | |||||||
\(600\) | −0.831247 | + | 4.89237i | −0.0339355 | + | 0.199730i | ||||
\(601\) | 3.72840 | + | 9.00115i | 0.152085 | + | 0.367165i | 0.981498 | − | 0.191470i | \(-0.0613255\pi\) |
−0.829414 | + | 0.558635i | \(0.811325\pi\) | |||||||
\(602\) | −5.42461 | + | 8.00621i | −0.221091 | + | 0.326309i | ||||
\(603\) | 25.1705 | + | 25.1705i | 1.02502 | + | 1.02502i | ||||
\(604\) | 33.8278 | − | 53.8366i | 1.37643 | − | 2.19058i | ||||
\(605\) | 13.0903 | + | 77.0441i | 0.532197 | + | 3.13229i | ||||
\(606\) | −6.92748 | − | 6.19078i | −0.281410 | − | 0.251483i | ||||
\(607\) | −6.23077 | − | 21.6275i | −0.252899 | − | 0.877832i | −0.981268 | − | 0.192647i | \(-0.938293\pi\) |
0.728369 | − | 0.685185i | \(-0.240279\pi\) | |||||||
\(608\) | 16.2429i | 0.658737i | ||||||||
\(609\) | −0.0976347 | + | 0.235711i | −0.00395636 | + | 0.00955149i | ||||
\(610\) | 81.4675 | + | 9.17918i | 3.29852 | + | 0.371654i | ||||
\(611\) | −26.7001 | − | 12.8581i | −1.08017 | − | 0.520183i | ||||
\(612\) | 29.7465 | + | 13.3511i | 1.20243 | + | 0.539687i | ||||
\(613\) | 1.09651 | + | 0.528051i | 0.0442876 | + | 0.0213278i | 0.455896 | − | 0.890033i | \(-0.349319\pi\) |
−0.411609 | + | 0.911361i | \(0.635033\pi\) | |||||||
\(614\) | 7.51100 | + | 4.71948i | 0.303119 | + | 0.190463i | ||||
\(615\) | −2.83057 | + | 0.815472i | −0.114140 | + | 0.0328830i | ||||
\(616\) | −5.96785 | + | 1.36212i | −0.240451 | + | 0.0548815i | ||||
\(617\) | −28.6470 | + | 1.60878i | −1.15328 | + | 0.0647670i | −0.622415 | − | 0.782687i | \(-0.713848\pi\) |
−0.530869 | + | 0.847454i | \(0.678134\pi\) | |||||||
\(618\) | 4.23583 | + | 1.22032i | 0.170390 | + | 0.0490886i | ||||
\(619\) | −0.185006 | + | 0.642170i | −0.00743602 | + | 0.0258110i | −0.964549 | − | 0.263905i | \(-0.914989\pi\) |
0.957113 | + | 0.289716i | \(0.0935609\pi\) | |||||||
\(620\) | 52.5491 | − | 33.0188i | 2.11042 | − | 1.32607i | ||||
\(621\) | −12.1468 | − | 4.25035i | −0.487434 | − | 0.170561i | ||||
\(622\) | −28.7439 | − | 1.61423i | −1.15253 | − | 0.0647245i | ||||
\(623\) | −1.59750 | + | 0.271426i | −0.0640023 | + | 0.0108744i | ||||
\(624\) | −1.76448 | + | 2.48681i | −0.0706358 | + | 0.0995519i | ||||
\(625\) | 6.35697 | − | 13.2004i | 0.254279 | − | 0.528015i | ||||
\(626\) | −2.35982 | − | 42.0204i | −0.0943173 | − | 1.67947i | ||||
\(627\) | −2.15557 | − | 3.43058i | −0.0860853 | − | 0.137004i | ||||
\(628\) | 3.11833 | − | 3.91026i | 0.124435 | − | 0.156036i | ||||
\(629\) | −22.9901 | − | 0.671082i | −0.916676 | − | 0.0267578i | ||||
\(630\) | 14.5030 | − | 6.98428i | 0.577813 | − | 0.278260i | ||||
\(631\) | 26.1927 | + | 16.4580i | 1.04272 | + | 0.655181i | 0.940574 | − | 0.339589i | \(-0.110288\pi\) |
0.102141 | + | 0.994770i | \(0.467431\pi\) | |||||||
\(632\) | 12.6127 | − | 3.63366i | 0.501707 | − | 0.144539i | ||||
\(633\) | 1.20514 | − | 0.275065i | 0.0478999 | − | 0.0109328i | ||||
\(634\) | −28.0383 | − | 31.3749i | −1.11354 | − | 1.24606i | ||||
\(635\) | −53.9812 | − | 15.5517i | −2.14218 | − | 0.617151i | ||||
\(636\) | 4.00028 | + | 0.224651i | 0.158622 | + | 0.00890800i | ||||
\(637\) | 3.38059 | − | 30.0035i | 0.133944 | − | 1.18878i | ||||
\(638\) | −9.78492 | − | 9.78492i | −0.387389 | − | 0.387389i | ||||
\(639\) | 22.2955 | − | 9.23509i | 0.881996 | − | 0.365335i | ||||
\(640\) | −21.8709 | + | 39.5725i | −0.864525 | + | 1.56424i | ||||
\(641\) | −23.4264 | + | 1.31560i | −0.925288 | + | 0.0519631i | −0.512332 | − | 0.858788i | \(-0.671218\pi\) |
−0.412957 | + | 0.910751i | \(0.635504\pi\) | |||||||
\(642\) | 2.86309 | + | 0.653482i | 0.112997 | + | 0.0257909i | ||||
\(643\) | −47.5945 | − | 8.08663i | −1.87694 | − | 0.318906i | −0.887158 | − | 0.461467i | \(-0.847323\pi\) |
−0.989786 | + | 0.142561i | \(0.954466\pi\) | |||||||
\(644\) | 8.59758 | − | 8.59758i | 0.338792 | − | 0.338792i | ||||
\(645\) | −5.96495 | − | 5.71269i | −0.234870 | − | 0.224937i | ||||
\(646\) | −16.6783 | − | 9.86375i | −0.656200 | − | 0.388084i | ||||
\(647\) | −4.04209 | − | 17.7096i | −0.158911 | − | 0.696235i | −0.990114 | − | 0.140266i | \(-0.955204\pi\) |
0.831203 | − | 0.555969i | \(-0.187653\pi\) | |||||||
\(648\) | 6.84152 | + | 10.8882i | 0.268760 | + | 0.427729i | ||||
\(649\) | 2.37276 | + | 42.2509i | 0.0931390 | + | 1.65849i | ||||
\(650\) | −72.8575 | + | 58.1019i | −2.85771 | + | 2.27894i | ||||
\(651\) | 1.25226 | + | 0.518702i | 0.0490799 | + | 0.0203295i | ||||
\(652\) | 9.55924 | + | 23.0780i | 0.374369 | + | 0.903806i | ||||
\(653\) | −39.2549 | − | 21.6954i | −1.53616 | − | 0.849007i | −0.999988 | − | 0.00489934i | \(-0.998440\pi\) |
−0.536174 | − | 0.844107i | \(-0.680131\pi\) | |||||||
\(654\) | −0.475010 | − | 1.35750i | −0.0185743 | − | 0.0530824i | ||||
\(655\) | −54.9909 | + | 6.19599i | −2.14867 | + | 0.242097i | ||||
\(656\) | −4.62688 | − | 0.259840i | −0.180649 | − | 0.0101450i | ||||
\(657\) | −3.59721 | + | 2.55235i | −0.140340 | + | 0.0995768i | ||||
\(658\) | −2.62109 | − | 9.09799i | −0.102181 | − | 0.354677i | ||||
\(659\) | −14.6827 | + | 3.35123i | −0.571957 | + | 0.130545i | −0.498711 | − | 0.866769i | \(-0.666193\pi\) |
−0.0732460 | + | 0.997314i | \(0.523336\pi\) | |||||||
\(660\) | −1.08817 | − | 19.3766i | −0.0423569 | − | 0.754235i | ||||
\(661\) | −2.88147 | − | 25.5737i | −0.112076 | − | 0.994703i | −0.916332 | − | 0.400419i | \(-0.868864\pi\) |
0.804256 | − | 0.594283i | \(-0.202564\pi\) | |||||||
\(662\) | 12.6856 | − | 15.9073i | 0.493042 | − | 0.618255i | ||||
\(663\) | −2.58494 | − | 5.79436i | −0.100391 | − | 0.225034i | ||||
\(664\) | 19.9921 | − | 9.62768i | 0.775843 | − | 0.373626i | ||||
\(665\) | −5.21744 | + | 1.82566i | −0.202323 | + | 0.0707960i | ||||
\(666\) | −28.6059 | − | 20.2970i | −1.10846 | − | 0.786491i | ||||
\(667\) | 7.21854 | + | 1.64759i | 0.279503 | + | 0.0637948i | ||||
\(668\) | −18.0578 | − | 20.2067i | −0.698678 | − | 0.781821i | ||||
\(669\) | 5.17161 | + | 4.62164i | 0.199946 | + | 0.178683i | ||||
\(670\) | −16.9734 | − | 99.8983i | −0.655740 | − | 3.85941i | ||||
\(671\) | −55.7628 | + | 6.28296i | −2.15270 | + | 0.242551i | ||||
\(672\) | −1.68856 | + | 0.190255i | −0.0651377 | + | 0.00733926i | ||||
\(673\) | −8.67428 | + | 9.70652i | −0.334369 | + | 0.374159i | −0.888976 | − | 0.457953i | \(-0.848583\pi\) |
0.554607 | + | 0.832112i | \(0.312868\pi\) | |||||||
\(674\) | 2.42004 | − | 1.71711i | 0.0932163 | − | 0.0661405i | ||||
\(675\) | 5.04067 | + | 17.4966i | 0.194016 | + | 0.673443i | ||||
\(676\) | 22.1731 | − | 5.06085i | 0.852810 | − | 0.194648i | ||||
\(677\) | −5.23128 | + | 4.67496i | −0.201054 | + | 0.179673i | −0.760790 | − | 0.648998i | \(-0.775188\pi\) |
0.559736 | + | 0.828671i | \(0.310903\pi\) | |||||||
\(678\) | 0.658003 | + | 5.83994i | 0.0252705 | + | 0.224281i | ||||
\(679\) | 3.93803 | + | 1.89645i | 0.151128 | + | 0.0727792i | ||||
\(680\) | −12.6786 | − | 21.5491i | −0.486202 | − | 0.826369i | ||||
\(681\) | −2.22205 | −0.0851490 | ||||||||
\(682\) | −51.9842 | + | 51.9842i | −1.99058 | + | 1.99058i | ||||
\(683\) | −28.2547 | + | 8.14004i | −1.08114 | + | 0.311470i | −0.769445 | − | 0.638714i | \(-0.779467\pi\) |
−0.311691 | + | 0.950183i | \(0.600895\pi\) | |||||||
\(684\) | −7.40841 | − | 15.3837i | −0.283268 | − | 0.588211i | ||||
\(685\) | −31.2137 | + | 43.9915i | −1.19261 | + | 1.68083i | ||||
\(686\) | 16.2868 | − | 11.5561i | 0.621832 | − | 0.441213i | ||||
\(687\) | −4.46593 | + | 1.84985i | −0.170386 | + | 0.0705761i | ||||
\(688\) | −5.88918 | − | 11.5822i | −0.224523 | − | 0.441569i | ||||
\(689\) | 14.3311 | + | 14.3311i | 0.545972 | + | 0.545972i | ||||
\(690\) | 10.3992 | + | 14.6564i | 0.395892 | + | 0.557958i | ||||
\(691\) | 11.6445 | − | 1.97848i | 0.442978 | − | 0.0752650i | 0.0582649 | − | 0.998301i | \(-0.481443\pi\) |
0.384713 | + | 0.923036i | \(0.374300\pi\) | |||||||
\(692\) | 45.7117 | − | 2.56711i | 1.73770 | − | 0.0975870i | ||||
\(693\) | −8.61433 | + | 6.86970i | −0.327231 | + | 0.260958i | ||||
\(694\) | 6.82105 | − | 16.4675i | 0.258924 | − | 0.625097i | ||||
\(695\) | 18.1134 | − | 18.1134i | 0.687080 | − | 0.687080i | ||||
\(696\) | 0.376787 | + | 0.472476i | 0.0142821 | + | 0.0179092i | ||||
\(697\) | 5.36634 | − | 8.01165i | 0.203265 | − | 0.303463i | ||||
\(698\) | −42.1284 | + | 52.8274i | −1.59458 | + | 1.99955i | ||||
\(699\) | 6.31834 | − | 2.21088i | 0.238982 | − | 0.0836233i | ||||
\(700\) | −16.9603 | − | 2.88168i | −0.641041 | − | 0.108917i | ||||
\(701\) | 21.8719 | − | 17.4422i | 0.826090 | − | 0.658785i | −0.116332 | − | 0.993210i | \(-0.537114\pi\) |
0.942422 | + | 0.334426i | \(0.108542\pi\) | |||||||
\(702\) | 3.30389 | − | 19.4453i | 0.124697 | − | 0.733916i | ||||
\(703\) | 8.98091 | + | 8.02583i | 0.338721 | + | 0.302700i | ||||
\(704\) | 19.3391 | − | 67.1274i | 0.728869 | − | 2.52996i | ||||
\(705\) | 8.03518 | − | 0.905348i | 0.302623 | − | 0.0340974i | ||||
\(706\) | 57.7811 | − | 36.3062i | 2.17462 | − | 1.36640i | ||||
\(707\) | 5.78122 | − | 6.46918i | 0.217425 | − | 0.243299i | ||||
\(708\) | 0.384671 | − | 6.84971i | 0.0144568 | − | 0.257428i | ||||
\(709\) | 4.77159 | − | 6.72493i | 0.179201 | − | 0.252560i | −0.716125 | − | 0.697972i | \(-0.754086\pi\) |
0.895326 | + | 0.445412i | \(0.146943\pi\) | |||||||
\(710\) | −66.9737 | − | 15.2863i | −2.51348 | − | 0.573685i | ||||
\(711\) | 17.6164 | − | 15.7429i | 0.660665 | − | 0.590406i | ||||
\(712\) | −1.26766 | + | 3.62277i | −0.0475076 | + | 0.135769i | ||||
\(713\) | 8.75310 | − | 38.3498i | 0.327806 | − | 1.43621i | ||||
\(714\) | 0.830049 | − | 1.84936i | 0.0310638 | − | 0.0692106i | ||||
\(715\) | 61.2086 | − | 76.7531i | 2.28907 | − | 2.87040i | ||||
\(716\) | 10.5878 | − | 30.2581i | 0.395684 | − | 1.13080i | ||||
\(717\) | −5.33646 | − | 0.906702i | −0.199294 | − | 0.0338614i | ||||
\(718\) | −41.7834 | + | 33.3212i | −1.55934 | + | 1.24353i | ||||
\(719\) | 7.27114 | − | 42.7949i | 0.271168 | − | 1.59598i | −0.443342 | − | 0.896353i | \(-0.646207\pi\) |
0.714509 | − | 0.699626i | \(-0.246650\pi\) | |||||||
\(720\) | −1.21267 | + | 21.5936i | −0.0451935 | + | 0.804745i | ||||
\(721\) | −1.13959 | + | 3.95561i | −0.0424406 | + | 0.147314i | ||||
\(722\) | −10.3071 | − | 29.4561i | −0.383592 | − | 1.09624i | ||||
\(723\) | 0.711247 | − | 6.31249i | 0.0264516 | − | 0.234764i | ||||
\(724\) | 31.0347 | − | 12.8550i | 1.15339 | − | 0.477752i | ||||
\(725\) | −4.00904 | − | 9.67867i | −0.148892 | − | 0.359457i | ||||
\(726\) | 4.15471 | + | 14.4213i | 0.154196 | + | 0.535225i | ||||
\(727\) | 2.19212 | + | 4.55197i | 0.0813011 | + | 0.168823i | 0.937656 | − | 0.347564i | \(-0.112991\pi\) |
−0.856355 | + | 0.516387i | \(0.827277\pi\) | |||||||
\(728\) | 4.09410 | + | 2.90492i | 0.151737 | + | 0.107663i | ||||
\(729\) | 17.9360 | + | 11.2699i | 0.664295 | + | 0.417404i | ||||
\(730\) | 12.5557 | 0.464706 | ||||||||
\(731\) | 26.9822 | + | 1.72063i | 0.997973 | + | 0.0636398i | ||||
\(732\) | 9.09745 | 0.336252 | ||||||||
\(733\) | 14.3361 | + | 9.00796i | 0.529516 | + | 0.332717i | 0.770112 | − | 0.637909i | \(-0.220200\pi\) |
−0.240597 | + | 0.970625i | \(0.577343\pi\) | |||||||
\(734\) | 23.4770 | + | 16.6578i | 0.866553 | + | 0.614852i | ||||
\(735\) | 3.57451 | + | 7.42256i | 0.131848 | + | 0.273785i | ||||
\(736\) | 13.6518 | + | 47.3865i | 0.503213 | + | 1.74669i | ||||
\(737\) | 26.5423 | + | 64.0787i | 0.977697 | + | 2.36037i | ||||
\(738\) | 13.5860 | − | 5.62752i | 0.500109 | − | 0.207152i | ||||
\(739\) | −2.24838 | + | 19.9549i | −0.0827081 | + | 0.734054i | 0.882093 | + | 0.471075i | \(0.156134\pi\) |
−0.964801 | + | 0.262980i | \(0.915295\pi\) | |||||||
\(740\) | 19.0550 | + | 54.4559i | 0.700474 | + | 2.00184i | ||||
\(741\) | −0.919821 | + | 3.19277i | −0.0337905 | + | 0.117289i | ||||
\(742\) | −0.363066 | + | 6.46499i | −0.0133286 | + | 0.237337i | ||||
\(743\) | 6.54532 | − | 38.5230i | 0.240124 | − | 1.41327i | −0.567403 | − | 0.823440i | \(-0.692052\pi\) |
0.807527 | − | 0.589830i | \(-0.200805\pi\) | |||||||
\(744\) | 2.51012 | − | 2.00175i | 0.0920254 | − | 0.0733878i | ||||
\(745\) | 5.32151 | + | 0.904162i | 0.194965 | + | 0.0331259i | ||||
\(746\) | −17.1664 | + | 49.0586i | −0.628505 | + | 1.79616i | ||||
\(747\) | 24.9024 | − | 31.2266i | 0.911131 | − | 1.14252i | ||||
\(748\) | 43.5927 | + | 46.2141i | 1.59391 | + | 1.68976i | ||||
\(749\) | −0.610250 | + | 2.67368i | −0.0222981 | + | 0.0976942i | ||||
\(750\) | 3.87079 | − | 11.0621i | 0.141341 | − | 0.403930i | ||||
\(751\) | −22.5056 | + | 20.1123i | −0.821242 | + | 0.733906i | −0.966825 | − | 0.255440i | \(-0.917780\pi\) |
0.145583 | + | 0.989346i | \(0.453494\pi\) | |||||||
\(752\) | 12.4020 | + | 2.83068i | 0.452255 | + | 0.103224i | ||||
\(753\) | −1.51397 | + | 2.13374i | −0.0551720 | + | 0.0777577i | ||||
\(754\) | −0.636301 | + | 11.3304i | −0.0231727 | + | 0.412629i | ||||
\(755\) | −58.4775 | + | 65.4363i | −2.12821 | + | 2.38147i | ||||
\(756\) | 3.08312 | − | 1.93725i | 0.112132 | − | 0.0704572i | ||||
\(757\) | −52.1778 | + | 5.87903i | −1.89643 | + | 0.213677i | −0.981707 | − | 0.190396i | \(-0.939023\pi\) |
−0.914727 | + | 0.404073i | \(0.867594\pi\) | |||||||
\(758\) | −7.42852 | + | 25.7850i | −0.269816 | + | 0.936552i | ||||
\(759\) | −9.17193 | − | 8.19654i | −0.332920 | − | 0.297515i | ||||
\(760\) | −2.19317 | + | 12.9081i | −0.0795546 | + | 0.468225i | ||||
\(761\) | −6.15971 | + | 4.91221i | −0.223289 | + | 0.178067i | −0.728745 | − | 0.684785i | \(-0.759896\pi\) |
0.505455 | + | 0.862853i | \(0.331324\pi\) | |||||||
\(762\) | −10.6359 | − | 1.80712i | −0.385299 | − | 0.0654650i | ||||
\(763\) | 1.26769 | − | 0.443585i | 0.0458935 | − | 0.0160588i | ||||
\(764\) | 19.6879 | − | 24.6878i | 0.712282 | − | 0.893173i | ||||
\(765\) | −37.3903 | − | 25.0446i | −1.35185 | − | 0.905491i | ||||
\(766\) | 1.78243 | + | 2.23510i | 0.0644019 | + | 0.0807574i | ||||
\(767\) | 24.5393 | − | 24.5393i | 0.886061 | − | 0.886061i | ||||
\(768\) | −0.156341 | + | 0.377440i | −0.00564147 | + | 0.0136197i | ||||
\(769\) | 29.0613 | − | 23.1756i | 1.04798 | − | 0.835734i | 0.0612506 | − | 0.998122i | \(-0.480491\pi\) |
0.986727 | + | 0.162388i | \(0.0519197\pi\) | |||||||
\(770\) | 31.3152 | − | 1.75862i | 1.12852 | − | 0.0633764i | ||||
\(771\) | 6.37528 | − | 1.08320i | 0.229600 | − | 0.0390107i | ||||
\(772\) | 38.3101 | + | 53.9931i | 1.37881 | + | 1.94325i | ||||
\(773\) | −14.7831 | − | 14.7831i | −0.531712 | − | 0.531712i | 0.389370 | − | 0.921082i | \(-0.372693\pi\) |
−0.921082 | + | 0.389370i | \(0.872693\pi\) | |||||||
\(774\) | 32.7839 | + | 25.0054i | 1.17839 | + | 0.898799i | ||||
\(775\) | −51.4197 | + | 21.2987i | −1.84705 | + | 0.765074i | ||||
\(776\) | 8.44360 | − | 5.99106i | 0.303108 | − | 0.215066i | ||||
\(777\) | −0.729146 | + | 1.02763i | −0.0261580 | + | 0.0368662i | ||||
\(778\) | 18.7111 | + | 38.8540i | 0.670825 | + | 1.39298i | ||||
\(779\) | −4.85237 | + | 1.39794i | −0.173854 | + | 0.0500865i | ||||
\(780\) | −11.2539 | + | 11.2539i | −0.402955 | + | 0.402955i | ||||
\(781\) | 47.0211 | 1.68255 | ||||||||
\(782\) | −56.9471 | − | 14.7584i | −2.03642 | − | 0.527760i | ||||
\(783\) | 1.99776 | + | 0.962072i | 0.0713943 | + | 0.0343817i | ||||
\(784\) | 1.45114 | + | 12.8792i | 0.0518263 | + | 0.459971i | ||||
\(785\) | −5.14726 | + | 4.59987i | −0.183714 | + | 0.164176i | ||||
\(786\) | −10.3610 | + | 2.36483i | −0.369565 | + | 0.0843507i | ||||
\(787\) | 6.63273 | + | 23.0227i | 0.236431 | + | 0.820671i | 0.987115 | + | 0.160010i | \(0.0511526\pi\) |
−0.750684 | + | 0.660661i | \(0.770276\pi\) | |||||||
\(788\) | 24.2354 | − | 17.1960i | 0.863352 | − | 0.612581i | ||||
\(789\) | −0.669268 | + | 0.748912i | −0.0238266 | + | 0.0266620i | ||||
\(790\) | −66.8308 | + | 7.53002i | −2.37773 | + | 0.267906i | ||||
\(791\) | −5.45359 | + | 0.614472i | −0.193907 | + | 0.0218481i | ||||
\(792\) | 4.37162 | + | 25.7295i | 0.155339 | + | 0.914258i | ||||
\(793\) | 34.3140 | + | 30.6648i | 1.21853 | + | 1.08894i | ||||
\(794\) | 33.9355 | + | 37.9738i | 1.20433 | + | 1.34764i | ||||
\(795\) | −5.39138 | − | 1.23055i | −0.191212 | − | 0.0436430i | ||||
\(796\) | 26.8097 | + | 19.0225i | 0.950245 | + | 0.674234i | ||||
\(797\) | 18.4813 | − | 6.46687i | 0.654640 | − | 0.229068i | 0.0175358 | − | 0.999846i | \(-0.494418\pi\) |
0.637104 | + | 0.770778i | \(0.280132\pi\) | |||||||
\(798\) | −0.956418 | + | 0.460586i | −0.0338568 | + | 0.0163046i | ||||
\(799\) | −18.2065 | + | 19.2140i | −0.644100 | + | 0.679744i | ||||
\(800\) | 43.5032 | − | 54.5513i | 1.53807 | − | 1.92868i | ||||
\(801\) | 0.773510 | + | 6.86509i | 0.0273306 | + | 0.242566i | ||||
\(802\) | 0.420229 | + | 7.48287i | 0.0148388 | + | 0.264229i | ||||
\(803\) | −8.37862 | + | 1.91236i | −0.295675 | + | 0.0674859i | ||||
\(804\) | −3.11284 | − | 10.8049i | −0.109781 | − | 0.381059i | ||||
\(805\) | −13.6867 | + | 9.71127i | −0.482394 | + | 0.342277i | ||||
\(806\) | 60.1948 | + | 3.38047i | 2.12027 | + | 0.119072i | ||||
\(807\) | 4.05843 | − | 0.457275i | 0.142864 | − | 0.0160969i | ||||
\(808\) | −6.78739 | − | 19.3972i | −0.238779 | − | 0.682392i | ||||
\(809\) | 5.19345 | + | 2.87032i | 0.182592 | + | 0.100915i | 0.572376 | − | 0.819991i | \(-0.306022\pi\) |
−0.389784 | + | 0.920906i | \(0.627450\pi\) | |||||||
\(810\) | −25.2144 | − | 60.8728i | −0.885942 | − | 2.13885i | ||||
\(811\) | 22.3281 | + | 9.24859i | 0.784044 | + | 0.324762i | 0.738546 | − | 0.674203i | \(-0.235513\pi\) |
0.0454979 | + | 0.998964i | \(0.485513\pi\) | |||||||
\(812\) | −1.63793 | + | 1.30621i | −0.0574801 | + | 0.0458388i | ||||
\(813\) | 0.360426 | + | 6.41797i | 0.0126407 | + | 0.225088i | ||||
\(814\) | −36.3603 | − | 57.8671i | −1.27443 | − | 2.02824i | ||||
\(815\) | −7.67198 | − | 33.6131i | −0.268738 | − | 1.17742i | ||||
\(816\) | 1.63525 | + | 2.17799i | 0.0572452 | + | 0.0762450i | ||||
\(817\) | −10.2256 | − | 9.79312i | −0.357747 | − | 0.342618i | ||||
\(818\) | 48.3286 | − | 48.3286i | 1.68977 | − | 1.68977i | ||||
\(819\) | 8.90810 | + | 1.51355i | 0.311274 | + | 0.0528876i | ||||
\(820\) | −23.5818 | − | 5.38240i | −0.823513 | − | 0.187962i | ||||
\(821\) | −9.45403 | + | 0.530927i | −0.329948 | + | 0.0185295i | −0.220274 | − | 0.975438i | \(-0.570695\pi\) |
−0.109674 | + | 0.993968i | \(0.534981\pi\) | |||||||
\(822\) | −5.01077 | + | 9.06631i | −0.174771 | + | 0.316224i | ||||
\(823\) | 0.401454 | − | 0.166288i | 0.0139938 | − | 0.00579643i | −0.375676 | − | 0.926751i | \(-0.622589\pi\) |
0.389669 | + | 0.920955i | \(0.372589\pi\) | |||||||
\(824\) | 6.89469 | + | 6.89469i | 0.240188 | + | 0.240188i | ||||
\(825\) | −1.94865 | + | 17.2947i | −0.0678433 | + | 0.602126i | ||||
\(826\) | 11.0700 | + | 0.621680i | 0.385176 | + | 0.0216310i | ||||
\(827\) | 33.0169 | + | 9.51200i | 1.14811 | + | 0.330765i | 0.796061 | − | 0.605217i | \(-0.206914\pi\) |
0.352049 | + | 0.935982i | \(0.385485\pi\) | |||||||
\(828\) | −34.5428 | − | 38.6534i | −1.20044 | − | 1.34330i | ||||
\(829\) | 51.5562 | − | 11.7674i | 1.79062 | − | 0.408698i | 0.807236 | − | 0.590229i | \(-0.200963\pi\) |
0.983385 | + | 0.181531i | \(0.0581054\pi\) | |||||||
\(830\) | −109.252 | + | 31.4749i | −3.79218 | + | 1.09251i | ||||
\(831\) | −3.80567 | − | 2.39126i | −0.132017 | − | 0.0829519i | ||||
\(832\) | −51.6155 | + | 24.8567i | −1.78945 | + | 0.861752i | ||||
\(833\) | −24.6041 | − | 11.0431i | −0.852483 | − | 0.382620i | ||||
\(834\) | 3.06721 | − | 3.84616i | 0.106209 | − | 0.133182i | ||||
\(835\) | 19.9001 | + | 31.6709i | 0.688672 | + | 1.09602i | ||||
\(836\) | −1.86542 | − | 33.2169i | −0.0645169 | − | 1.14883i | ||||
\(837\) | 5.11119 | − | 10.6135i | 0.176668 | − | 0.366856i | ||||
\(838\) | −30.5133 | + | 43.0045i | −1.05407 | + | 1.48557i | ||||
\(839\) | −20.1012 | + | 3.41533i | −0.693971 | + | 0.117910i | −0.503774 | − | 0.863836i | \(-0.668056\pi\) |
−0.190197 | + | 0.981746i | \(0.560913\pi\) | |||||||
\(840\) | −1.36757 | − | 0.0768012i | −0.0471857 | − | 0.00264989i | ||||
\(841\) | 26.1685 | + | 9.15674i | 0.902360 | + | 0.315750i | ||||
\(842\) | −38.5810 | + | 24.2420i | −1.32959 | + | 0.835435i | ||||
\(843\) | −1.92284 | + | 6.67433i | −0.0662262 | + | 0.229876i | ||||
\(844\) | 9.75367 | + | 2.80998i | 0.335735 | + | 0.0967236i | ||||
\(845\) | −31.3417 | + | 1.76011i | −1.07819 | + | 0.0605496i | ||||
\(846\) | −39.3548 | + | 8.98247i | −1.35305 | + | 0.308824i | ||||
\(847\) | −13.4672 | + | 3.87985i | −0.462740 | + | 0.133313i | ||||
\(848\) | −7.36637 | − | 4.62860i | −0.252962 | − | 0.158947i | ||||
\(849\) | −4.49097 | − | 2.16274i | −0.154130 | − | 0.0742249i | ||||
\(850\) | 29.5957 | + | 77.7965i | 1.01512 | + | 2.66840i | ||||
\(851\) | 32.9462 | + | 15.8660i | 1.12938 | + | 0.543881i | ||||
\(852\) | −7.57511 | − | 0.853510i | −0.259519 | − | 0.0292408i | ||||
\(853\) | 17.3554 | − | 41.8996i | 0.594237 | − | 1.43461i | −0.285139 | − | 0.958486i | \(-0.592040\pi\) |
0.879376 | − | 0.476129i | \(-0.157960\pi\) | |||||||
\(854\) | 14.7027i | 0.503116i | ||||||||
\(855\) | 6.52419 | + | 22.6459i | 0.223122 | + | 0.774475i | ||||
\(856\) | 4.84362 | + | 4.32852i | 0.165551 | + | 0.147946i | ||||
\(857\) | 0.467726 | + | 2.75284i | 0.0159772 | + | 0.0940351i | 0.992738 | − | 0.120298i | \(-0.0383850\pi\) |
−0.976761 | + | 0.214333i | \(0.931242\pi\) | |||||||
\(858\) | 10.0304 | − | 15.9633i | 0.342433 | − | 0.544980i | ||||
\(859\) | 4.57025 | + | 4.57025i | 0.155935 | + | 0.155935i | 0.780763 | − | 0.624828i | \(-0.214831\pi\) |
−0.624828 | + | 0.780763i | \(0.714831\pi\) | |||||||
\(860\) | −20.1781 | − | 64.7489i | −0.688069 | − | 2.20792i | ||||
\(861\) | −0.202162 | − | 0.488063i | −0.00688968 | − | 0.0166331i | ||||
\(862\) | −14.0413 | + | 82.6411i | −0.478248 | + | 2.81477i | ||||
\(863\) | 27.6098 | + | 6.30175i | 0.939847 | + | 0.214514i | 0.664889 | − | 0.746942i | \(-0.268479\pi\) |
0.274958 | + | 0.961456i | \(0.411336\pi\) | |||||||
\(864\) | 0.828057 | + | 14.7449i | 0.0281711 | + | 0.501633i | ||||
\(865\) | −62.7949 | − | 7.07528i | −2.13509 | − | 0.240567i | ||||
\(866\) | −79.3333 | −2.69585 | ||||||||
\(867\) | −5.63297 | + | 0.621774i | −0.191306 | + | 0.0211166i | ||||
\(868\) | 6.93946 | + | 8.70181i | 0.235541 | + | 0.295359i | ||||
\(869\) | 43.4505 | − | 15.2040i | 1.47396 | − | 0.515760i | ||||
\(870\) | −1.49780 | − | 2.71006i | −0.0507802 | − | 0.0918798i | ||||
\(871\) | 24.6790 | − | 51.2466i | 0.836218 | − | 1.73642i | ||||
\(872\) | 0.532879 | − | 3.13630i | 0.0180456 | − | 0.106209i | ||||
\(873\) | 9.01421 | − | 16.3100i | 0.305085 | − | 0.552010i | ||||
\(874\) | 17.8272 | + | 25.1250i | 0.603013 | + | 0.849867i | ||||
\(875\) | 10.3302 | + | 3.61471i | 0.349226 | + | 0.122199i | ||||
\(876\) | 1.38451 | − | 0.155997i | 0.0467783 | − | 0.00527065i | ||||
\(877\) | −5.88368 | + | 20.4227i | −0.198678 | + | 0.689626i | 0.797581 | + | 0.603211i | \(0.206112\pi\) |
−0.996259 | + | 0.0864148i | \(0.972459\pi\) | |||||||
\(878\) | 23.4811 | − | 3.98960i | 0.792450 | − | 0.134643i | ||||
\(879\) | 4.59203 | − | 0.257883i | 0.154885 | − | 0.00869818i | ||||
\(880\) | −18.2841 | + | 37.9672i | −0.616355 | + | 1.27988i | ||||
\(881\) | −24.1068 | − | 17.1047i | −0.812179 | − | 0.576272i | 0.0957451 | − | 0.995406i | \(-0.469477\pi\) |
−0.907924 | + | 0.419134i | \(0.862334\pi\) | |||||||
\(882\) | −21.8812 | − | 34.8237i | −0.736779 | − | 1.17258i | ||||
\(883\) | −40.2172 | − | 19.3676i | −1.35342 | − | 0.651771i | −0.390258 | − | 0.920705i | \(-0.627614\pi\) |
−0.963159 | + | 0.268934i | \(0.913329\pi\) | |||||||
\(884\) | 4.43777 | − | 51.9104i | 0.149258 | − | 1.74594i | ||||
\(885\) | −2.10707 | + | 9.23169i | −0.0708285 | + | 0.310320i | ||||
\(886\) | −0.712583 | − | 6.32435i | −0.0239397 | − | 0.212471i | ||||
\(887\) | 21.5784 | + | 39.0432i | 0.724532 | + | 1.31094i | 0.942244 | + | 0.334928i | \(0.108712\pi\) |
−0.217712 | + | 0.976013i | \(0.569859\pi\) | |||||||
\(888\) | 1.29497 | + | 2.68902i | 0.0434562 | + | 0.0902377i | ||||
\(889\) | 1.68757 | − | 9.93230i | 0.0565991 | − | 0.333119i | ||||
\(890\) | 9.51281 | − | 17.2121i | 0.318870 | − | 0.576952i | ||||
\(891\) | 26.0976 | + | 36.7811i | 0.874303 | + | 1.23221i | ||||
\(892\) | 18.8102 | + | 53.7566i | 0.629813 | + | 1.79990i | ||||
\(893\) | 13.7745 | − | 1.55202i | 0.460947 | − | 0.0519362i | ||||
\(894\) | 1.03498 | + | 0.0581230i | 0.0346148 | + | 0.00194392i | ||||
\(895\) | −21.4027 | + | 38.7253i | −0.715415 | + | 1.29445i | ||||
\(896\) | −7.49140 | − | 3.10304i | −0.250270 | − | 0.103665i | ||||
\(897\) | 10.0876i | 0.336814i | ||||||||
\(898\) | 33.1425 | − | 9.54820i | 1.10598 | − | 0.318627i | ||||
\(899\) | −2.23853 | + | 6.39735i | −0.0746592 | + | 0.213364i | ||||
\(900\) | −16.3212 | + | 71.5077i | −0.544039 | + | 2.38359i | ||||
\(901\) | 16.0927 | − | 8.29062i | 0.536125 | − | 0.276201i | ||||
\(902\) | 28.6529 | 0.954037 | ||||||||
\(903\) | 0.898289 | − | 1.17773i | 0.0298932 | − | 0.0391923i | ||||
\(904\) | −4.97467 | + | 12.0099i | −0.165455 | + | 0.399443i | ||||
\(905\) | −45.2019 | + | 10.3170i | −1.50256 | + | 0.342950i | ||||
\(906\) | −9.75257 | + | 13.7450i | −0.324008 | + | 0.456646i | ||||
\(907\) | −21.8163 | − | 19.4962i | −0.724398 | − | 0.647361i | 0.220252 | − | 0.975443i | \(-0.429312\pi\) |
−0.944649 | + | 0.328082i | \(0.893598\pi\) | |||||||
\(908\) | −15.9694 | − | 8.82599i | −0.529964 | − | 0.292901i | ||||
\(909\) | −26.1559 | − | 26.1559i | −0.867537 | − | 0.867537i | ||||
\(910\) | −18.1878 | − | 18.1878i | −0.602920 | − | 0.602920i | ||||
\(911\) | −9.96556 | − | 5.50777i | −0.330174 | − | 0.182481i | 0.309949 | − | 0.950753i | \(-0.399688\pi\) |
−0.640123 | + | 0.768273i | \(0.721117\pi\) | |||||||
\(912\) | 0.0799709 | − | 1.42401i | 0.00264810 | − | 0.0471538i | ||||
\(913\) | 68.1117 | − | 37.6440i | 2.25417 | − | 1.24583i | ||||
\(914\) | 28.8989 | − | 60.0091i | 0.955890 | − | 1.98493i | ||||
\(915\) | −12.3792 | − | 2.10331i | −0.409244 | − | 0.0695333i | ||||
\(916\) | −39.4434 | − | 4.44421i | −1.30325 | − | 0.146841i | ||||
\(917\) | −2.20838 | − | 9.67556i | −0.0729272 | − | 0.319515i | ||||
\(918\) | −15.6430 | − | 8.10382i | −0.516297 | − | 0.267466i | ||||
\(919\) | −18.6875 | + | 23.4334i | −0.616445 | + | 0.772998i | −0.987839 | − | 0.155478i | \(-0.950308\pi\) |
0.371394 | + | 0.928475i | \(0.378880\pi\) | |||||||
\(920\) | 4.45068 | + | 39.5009i | 0.146735 | + | 1.30231i | ||||
\(921\) | −1.10806 | − | 0.786207i | −0.0365117 | − | 0.0259064i | ||||
\(922\) | 32.4418 | + | 67.3661i | 1.06841 | + | 2.21858i | ||||
\(923\) | −25.6950 | − | 28.7528i | −0.845762 | − | 0.946408i | ||||
\(924\) | 3.43127 | − | 0.582997i | 0.112881 | − | 0.0191792i | ||||
\(925\) | −8.66661 | − | 51.0080i | −0.284956 | − | 1.67713i | ||||
\(926\) | 10.2825 | + | 29.3857i | 0.337904 | + | 0.965673i | ||||
\(927\) | 16.5657 | + | 5.79661i | 0.544091 | + | 0.190386i | ||||
\(928\) | −1.42328 | − | 8.37684i | −0.0467215 | − | 0.274983i | ||||
\(929\) | 13.9445 | + | 4.01735i | 0.457505 | + | 0.131805i | 0.497629 | − | 0.867390i | \(-0.334204\pi\) |
−0.0401245 | + | 0.999195i | \(0.512775\pi\) | |||||||
\(930\) | −14.3977 | + | 7.95734i | −0.472120 | + | 0.260931i | ||||
\(931\) | 6.12770 | + | 12.7243i | 0.200827 | + | 0.417022i | ||||
\(932\) | 54.1904 | + | 9.20732i | 1.77507 | + | 0.301596i | ||||
\(933\) | 4.38167 | + | 0.493696i | 0.143449 | + | 0.0161629i | ||||
\(934\) | 15.9324 | + | 69.8046i | 0.521325 | + | 2.28408i | ||||
\(935\) | −48.6334 | − | 72.9636i | −1.59048 | − | 2.38617i | ||||
\(936\) | 13.3443 | − | 16.7333i | 0.436173 | − | 0.546944i | ||||
\(937\) | 50.5100 | − | 17.6742i | 1.65009 | − | 0.577392i | 0.664611 | − | 0.747189i | \(-0.268597\pi\) |
0.985479 | + | 0.169798i | \(0.0543114\pi\) | |||||||
\(938\) | 17.4621 | − | 5.03075i | 0.570159 | − | 0.164260i | ||||
\(939\) | 6.44605i | 0.210359i | ||||||||
\(940\) | 61.3434 | + | 25.4093i | 2.00080 | + | 0.828760i | ||||
\(941\) | 1.32181 | − | 2.39164i | 0.0430898 | − | 0.0779652i | −0.852810 | − | 0.522221i | \(-0.825103\pi\) |
0.895900 | + | 0.444256i | \(0.146532\pi\) | |||||||
\(942\) | −0.883374 | + | 0.988496i | −0.0287819 | + | 0.0322069i | ||||
\(943\) | −12.9812 | + | 8.15663i | −0.422726 | + | 0.265617i | ||||
\(944\) | −7.92557 | + | 12.6135i | −0.257955 | + | 0.410534i | ||||
\(945\) | −4.64319 | + | 1.92327i | −0.151043 | + | 0.0625641i | ||||
\(946\) | 40.3706 | + | 69.4582i | 1.31256 | + | 2.25828i | ||||
\(947\) | 46.0585 | + | 19.0781i | 1.49670 | + | 0.619954i | 0.972763 | − | 0.231803i | \(-0.0744623\pi\) |
0.523938 | + | 0.851756i | \(0.324462\pi\) | |||||||
\(948\) | −7.27587 | + | 1.66067i | −0.236309 | + | 0.0539360i | ||||
\(949\) | 5.74795 | + | 4.07839i | 0.186586 | + | 0.132390i | ||||
\(950\) | 14.3964 | − | 41.1426i | 0.467082 | − | 1.33484i | ||||
\(951\) | 4.01819 | + | 5.03865i | 0.130299 | + | 0.163389i | ||||
\(952\) | 3.58569 | − | 2.69216i | 0.116213 | − | 0.0872534i | ||||
\(953\) | 26.8969 | 0.871274 | 0.435637 | − | 0.900122i | \(-0.356523\pi\) | ||||
0.435637 | + | 0.900122i | \(0.356523\pi\) | |||||||
\(954\) | 27.4333 | + | 3.09099i | 0.888185 | + | 0.100074i | ||||
\(955\) | −32.4977 | + | 29.0417i | −1.05160 | + | 0.939767i | ||||
\(956\) | −34.7508 | − | 27.7128i | −1.12392 | − | 0.896296i | ||||
\(957\) | 1.41228 | + | 1.58034i | 0.0456526 | + | 0.0510853i | ||||
\(958\) | 19.9235 | − | 14.1365i | 0.643699 | − | 0.456729i | ||||
\(959\) | −8.46652 | − | 4.67928i | −0.273398 | − | 0.151102i | ||||
\(960\) | 8.31649 | − | 13.2356i | 0.268414 | − | 0.427178i | ||||
\(961\) | 4.72674 | + | 1.65396i | 0.152476 | + | 0.0533535i | ||||
\(962\) | −15.5156 | + | 53.8558i | −0.500243 | + | 1.73638i | ||||
\(963\) | 11.2354 | + | 3.23686i | 0.362056 | + | 0.104307i | ||||
\(964\) | 30.1849 | − | 42.5416i | 0.972190 | − | 1.37017i | ||||
\(965\) | −39.6468 | − | 82.3273i | −1.27627 | − | 2.65021i | ||||
\(966\) | −2.40311 | + | 2.14755i | −0.0773188 | + | 0.0690963i | ||||
\(967\) | 21.9731 | + | 34.9700i | 0.706607 | + | 1.12456i | 0.986378 | + | 0.164492i | \(0.0525983\pi\) |
−0.279772 | + | 0.960067i | \(0.590259\pi\) | |||||||
\(968\) | −7.38697 | + | 32.3644i | −0.237426 | + | 1.04023i | ||||
\(969\) | 2.46575 | + | 1.65160i | 0.0792112 | + | 0.0530570i | ||||
\(970\) | −47.7942 | + | 23.0165i | −1.53458 | + | 0.739014i | ||||
\(971\) | −14.8694 | − | 23.6646i | −0.477183 | − | 0.759433i | 0.518216 | − | 0.855250i | \(-0.326596\pi\) |
−0.995399 | + | 0.0958171i | \(0.969454\pi\) | |||||||
\(972\) | −11.3350 | − | 20.5092i | −0.363571 | − | 0.657831i | ||||
\(973\) | 3.59171 | + | 2.86429i | 0.115145 | + | 0.0918250i | ||||
\(974\) | 39.1832 | − | 2.20048i | 1.25551 | − | 0.0705080i | ||||
\(975\) | 11.6404 | − | 8.25928i | 0.372790 | − | 0.264509i | ||||
\(976\) | −17.2892 | − | 9.55542i | −0.553415 | − | 0.305862i | ||||
\(977\) | −10.9489 | + | 17.4251i | −0.350287 | + | 0.557479i | −0.974672 | − | 0.223638i | \(-0.928207\pi\) |
0.624385 | + | 0.781116i | \(0.285350\pi\) | |||||||
\(978\) | −2.18684 | − | 6.24962i | −0.0699274 | − | 0.199841i | ||||
\(979\) | −3.72648 | + | 12.9349i | −0.119099 | + | 0.413401i | ||||
\(980\) | −3.79311 | + | 67.5426i | −0.121166 | + | 2.15757i | ||||
\(981\) | −1.58520 | − | 5.50234i | −0.0506114 | − | 0.175676i | ||||
\(982\) | 36.4319i | 1.16259i | ||||||||
\(983\) | −6.04837 | + | 14.6021i | −0.192913 | + | 0.465734i | −0.990507 | − | 0.137461i | \(-0.956106\pi\) |
0.797594 | + | 0.603195i | \(0.206106\pi\) | |||||||
\(984\) | −1.24344 | − | 0.140102i | −0.0396393 | − | 0.00446628i | ||||
\(985\) | −36.9536 | + | 17.7959i | −1.17744 | + | 0.567025i | ||||
\(986\) | 9.46570 | + | 3.62553i | 0.301449 | + | 0.115460i | ||||
\(987\) | 0.322685 | + | 1.41378i | 0.0102712 | + | 0.0450010i | ||||
\(988\) | −19.2923 | + | 19.2923i | −0.613770 | + | 0.613770i | ||||
\(989\) | −38.0627 | − | 19.9758i | −1.21032 | − | 0.635192i | ||||
\(990\) | − | 133.723i | − | 4.24998i | ||||||
\(991\) | −1.00543 | + | 5.91756i | −0.0319387 | + | 0.187977i | −0.997350 | − | 0.0727545i | \(-0.976821\pi\) |
0.965411 | + | 0.260732i | \(0.0839639\pi\) | |||||||
\(992\) | −44.5035 | + | 7.56145i | −1.41299 | + | 0.240076i | ||||
\(993\) | −2.07650 | + | 2.32361i | −0.0658958 | + | 0.0737375i | ||||
\(994\) | 1.37938 | − | 12.2424i | 0.0437514 | − | 0.388305i | ||||
\(995\) | −32.0829 | − | 32.0829i | −1.01710 | − | 1.01710i | ||||
\(996\) | −11.6561 | + | 4.82812i | −0.369338 | + | 0.152985i | ||||
\(997\) | −6.54735 | + | 11.8465i | −0.207357 | + | 0.375184i | −0.958562 | − | 0.284885i | \(-0.908044\pi\) |
0.751205 | + | 0.660069i | \(0.229473\pi\) | |||||||
\(998\) | −1.49568 | − | 1.67367i | −0.0473450 | − | 0.0529790i | ||||
\(999\) | 8.56181 | + | 6.82781i | 0.270884 | + | 0.216022i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 731.2.be.a.59.9 | ✓ | 1536 | |
17.15 | even | 8 | inner | 731.2.be.a.661.56 | yes | 1536 | |
43.35 | even | 7 | inner | 731.2.be.a.637.56 | yes | 1536 | |
731.508 | even | 56 | inner | 731.2.be.a.508.9 | yes | 1536 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.be.a.59.9 | ✓ | 1536 | 1.1 | even | 1 | trivial | |
731.2.be.a.508.9 | yes | 1536 | 731.508 | even | 56 | inner | |
731.2.be.a.637.56 | yes | 1536 | 43.35 | even | 7 | inner | |
731.2.be.a.661.56 | yes | 1536 | 17.15 | even | 8 | inner |