Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(155,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 1, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.bs (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 155.4 | ||
Character | \(\chi\) | \(=\) | 672.155 |
Dual form | 672.2.bs.a.659.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{8}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34893 | + | 0.424720i | −0.953838 | + | 0.300322i | ||||
\(3\) | −1.25748 | + | 1.19111i | −0.726009 | + | 0.687686i | ||||
\(4\) | 1.63923 | − | 1.14583i | 0.819613 | − | 0.572917i | ||||
\(5\) | 0.367345 | − | 0.886850i | 0.164282 | − | 0.396612i | −0.820205 | − | 0.572070i | \(-0.806141\pi\) |
0.984487 | + | 0.175458i | \(0.0561407\pi\) | |||||||
\(6\) | 1.19037 | − | 2.14080i | 0.485967 | − | 0.873977i | ||||
\(7\) | −0.707107 | + | 0.707107i | −0.267261 | + | 0.267261i | ||||
\(8\) | −1.72454 | + | 2.24186i | −0.609718 | + | 0.792618i | ||||
\(9\) | 0.162531 | − | 2.99559i | 0.0541770 | − | 0.998531i | ||||
\(10\) | −0.118861 | + | 1.35232i | −0.0375870 | + | 0.427641i | ||||
\(11\) | −0.503326 | + | 1.21514i | −0.151758 | + | 0.366377i | −0.981415 | − | 0.191897i | \(-0.938536\pi\) |
0.829657 | + | 0.558274i | \(0.188536\pi\) | |||||||
\(12\) | −0.696489 | + | 3.39336i | −0.201059 | + | 0.979579i | ||||
\(13\) | 1.94342 | − | 0.804990i | 0.539007 | − | 0.223264i | −0.0965359 | − | 0.995330i | \(-0.530776\pi\) |
0.635543 | + | 0.772065i | \(0.280776\pi\) | |||||||
\(14\) | 0.653516 | − | 1.25416i | 0.174659 | − | 0.335188i | ||||
\(15\) | 0.594402 | + | 1.55275i | 0.153474 | + | 0.400918i | ||||
\(16\) | 1.37413 | − | 3.75656i | 0.343531 | − | 0.939141i | ||||
\(17\) | −3.93266 | −0.953811 | −0.476905 | − | 0.878955i | \(-0.658242\pi\) | ||||
−0.476905 | + | 0.878955i | \(0.658242\pi\) | |||||||
\(18\) | 1.05305 | + | 4.10988i | 0.248205 | + | 0.968708i | ||||
\(19\) | 0.282340 | + | 0.681629i | 0.0647733 | + | 0.156376i | 0.952952 | − | 0.303122i | \(-0.0980291\pi\) |
−0.888178 | + | 0.459499i | \(0.848029\pi\) | |||||||
\(20\) | −0.414022 | − | 1.87467i | −0.0925781 | − | 0.419188i | ||||
\(21\) | 0.0469359 | − | 1.73141i | 0.0102423 | − | 0.377826i | ||||
\(22\) | 0.162859 | − | 1.85291i | 0.0347217 | − | 0.395041i | ||||
\(23\) | −4.90159 | + | 4.90159i | −1.02205 | + | 1.02205i | −0.0223015 | + | 0.999751i | \(0.507099\pi\) |
−0.999751 | + | 0.0223015i | \(0.992901\pi\) | |||||||
\(24\) | −0.501712 | − | 4.87322i | −0.102412 | − | 0.994742i | ||||
\(25\) | 2.88397 | + | 2.88397i | 0.576795 | + | 0.576795i | ||||
\(26\) | −2.27964 | + | 1.91128i | −0.447074 | + | 0.374834i | ||||
\(27\) | 3.36369 | + | 3.96050i | 0.647343 | + | 0.762199i | ||||
\(28\) | −0.348880 | + | 1.96934i | −0.0659322 | + | 0.372169i | ||||
\(29\) | −2.94719 | + | 1.22076i | −0.547279 | + | 0.226690i | −0.639152 | − | 0.769080i | \(-0.720715\pi\) |
0.0918732 | + | 0.995771i | \(0.470715\pi\) | |||||||
\(30\) | −1.46129 | − | 1.84209i | −0.266794 | − | 0.336319i | ||||
\(31\) | 1.69494i | 0.304419i | 0.988348 | + | 0.152210i | \(0.0486389\pi\) | ||||
−0.988348 | + | 0.152210i | \(0.951361\pi\) | |||||||
\(32\) | −0.258112 | + | 5.65096i | −0.0456282 | + | 0.998958i | ||||
\(33\) | −0.814432 | − | 2.12753i | −0.141774 | − | 0.370355i | ||||
\(34\) | 5.30489 | − | 1.67028i | 0.909781 | − | 0.286450i | ||||
\(35\) | 0.367345 | + | 0.886850i | 0.0620927 | + | 0.149905i | ||||
\(36\) | −3.16603 | − | 5.09669i | −0.527672 | − | 0.849448i | ||||
\(37\) | −3.49732 | − | 1.44864i | −0.574957 | − | 0.238155i | 0.0762073 | − | 0.997092i | \(-0.475719\pi\) |
−0.651164 | + | 0.758937i | \(0.725719\pi\) | |||||||
\(38\) | −0.670358 | − | 0.799555i | −0.108747 | − | 0.129705i | ||||
\(39\) | −1.48499 | + | 3.32708i | −0.237788 | + | 0.532759i | ||||
\(40\) | 1.35469 | + | 2.35295i | 0.214196 | + | 0.372034i | ||||
\(41\) | 0.0865589 | + | 0.0865589i | 0.0135182 | + | 0.0135182i | 0.713834 | − | 0.700315i | \(-0.246957\pi\) |
−0.700315 | + | 0.713834i | \(0.746957\pi\) | |||||||
\(42\) | 0.672053 | + | 2.35549i | 0.103700 | + | 0.363460i | ||||
\(43\) | −4.71747 | − | 1.95404i | −0.719408 | − | 0.297988i | −0.00721650 | − | 0.999974i | \(-0.502297\pi\) |
−0.712191 | + | 0.701986i | \(0.752297\pi\) | |||||||
\(44\) | 0.567280 | + | 2.56861i | 0.0855207 | + | 0.387232i | ||||
\(45\) | −2.59694 | − | 1.24456i | −0.387129 | − | 0.185528i | ||||
\(46\) | 4.53010 | − | 8.69371i | 0.667927 | − | 1.28182i | ||||
\(47\) | 1.96116i | 0.286065i | 0.989718 | + | 0.143032i | \(0.0456853\pi\) | ||||
−0.989718 | + | 0.143032i | \(0.954315\pi\) | |||||||
\(48\) | 2.74653 | + | 6.36055i | 0.396427 | + | 0.918066i | ||||
\(49\) | − | 1.00000i | − | 0.142857i | ||||||
\(50\) | −5.11516 | − | 2.66540i | −0.723393 | − | 0.376944i | ||||
\(51\) | 4.94526 | − | 4.68422i | 0.692475 | − | 0.655922i | ||||
\(52\) | 2.26332 | − | 3.54640i | 0.313865 | − | 0.491797i | ||||
\(53\) | −9.67856 | − | 4.00899i | −1.32945 | − | 0.550677i | −0.398953 | − | 0.916971i | \(-0.630626\pi\) |
−0.930499 | + | 0.366294i | \(0.880626\pi\) | |||||||
\(54\) | −6.21949 | − | 3.91382i | −0.846365 | − | 0.532603i | ||||
\(55\) | 0.892749 | + | 0.892749i | 0.120378 | + | 0.120378i | ||||
\(56\) | −0.365800 | − | 2.80467i | −0.0488821 | − | 0.374790i | ||||
\(57\) | −1.16693 | − | 0.520841i | −0.154564 | − | 0.0689870i | ||||
\(58\) | 3.45707 | − | 2.89845i | 0.453935 | − | 0.380586i | ||||
\(59\) | −6.76379 | − | 2.80165i | −0.880571 | − | 0.364744i | −0.103853 | − | 0.994593i | \(-0.533117\pi\) |
−0.776718 | + | 0.629848i | \(0.783117\pi\) | |||||||
\(60\) | 2.75355 | + | 1.86422i | 0.355482 | + | 0.240669i | ||||
\(61\) | −3.36669 | − | 8.12790i | −0.431060 | − | 1.04067i | −0.978946 | − | 0.204118i | \(-0.934567\pi\) |
0.547886 | − | 0.836553i | \(-0.315433\pi\) | |||||||
\(62\) | −0.719873 | − | 2.28635i | −0.0914239 | − | 0.290367i | ||||
\(63\) | 2.00328 | + | 2.23313i | 0.252389 | + | 0.281348i | ||||
\(64\) | −2.05190 | − | 7.73238i | −0.256488 | − | 0.966548i | ||||
\(65\) | − | 2.01923i | − | 0.250455i | ||||||
\(66\) | 2.00221 | + | 2.52398i | 0.246456 | + | 0.310681i | ||||
\(67\) | −13.5875 | + | 5.62812i | −1.65997 | + | 0.687584i | −0.998076 | − | 0.0620097i | \(-0.980249\pi\) |
−0.661898 | + | 0.749593i | \(0.730249\pi\) | |||||||
\(68\) | −6.44652 | + | 4.50618i | −0.781756 | + | 0.546455i | ||||
\(69\) | 0.325355 | − | 12.0020i | 0.0391681 | − | 1.44487i | ||||
\(70\) | −0.872186 | − | 1.04028i | −0.104246 | − | 0.124337i | ||||
\(71\) | −0.898304 | − | 0.898304i | −0.106609 | − | 0.106609i | 0.651790 | − | 0.758399i | \(-0.274018\pi\) |
−0.758399 | + | 0.651790i | \(0.774018\pi\) | |||||||
\(72\) | 6.43542 | + | 5.53040i | 0.758422 | + | 0.651764i | ||||
\(73\) | −11.9662 | + | 11.9662i | −1.40054 | + | 1.40054i | −0.602169 | + | 0.798369i | \(0.705697\pi\) |
−0.798369 | + | 0.602169i | \(0.794303\pi\) | |||||||
\(74\) | 5.33291 | + | 0.468731i | 0.619939 | + | 0.0544888i | ||||
\(75\) | −7.06167 | − | 0.191431i | −0.815411 | − | 0.0221045i | ||||
\(76\) | 1.24385 | + | 0.793829i | 0.142680 | + | 0.0910585i | ||||
\(77\) | −0.503326 | − | 1.21514i | −0.0573593 | − | 0.138478i | ||||
\(78\) | 0.590069 | − | 5.11870i | 0.0668121 | − | 0.579579i | ||||
\(79\) | −0.676091 | −0.0760662 | −0.0380331 | − | 0.999276i | \(-0.512109\pi\) | ||||
−0.0380331 | + | 0.999276i | \(0.512109\pi\) | |||||||
\(80\) | −2.82673 | − | 2.59860i | −0.316038 | − | 0.290532i | ||||
\(81\) | −8.94717 | − | 0.973754i | −0.994130 | − | 0.108195i | ||||
\(82\) | −0.153525 | − | 0.0799986i | −0.0169540 | − | 0.00883437i | ||||
\(83\) | 11.5153 | − | 4.76979i | 1.26397 | − | 0.523552i | 0.352842 | − | 0.935683i | \(-0.385215\pi\) |
0.911125 | + | 0.412131i | \(0.135215\pi\) | |||||||
\(84\) | −1.90698 | − | 2.89196i | −0.208068 | − | 0.315539i | ||||
\(85\) | −1.44465 | + | 3.48768i | −0.156694 | + | 0.378292i | ||||
\(86\) | 7.19346 | + | 0.632261i | 0.775691 | + | 0.0681785i | ||||
\(87\) | 2.25198 | − | 5.04550i | 0.241437 | − | 0.540935i | ||||
\(88\) | −1.85616 | − | 3.22394i | −0.197867 | − | 0.343673i | ||||
\(89\) | −2.45196 | + | 2.45196i | −0.259908 | + | 0.259908i | −0.825016 | − | 0.565109i | \(-0.808834\pi\) |
0.565109 | + | 0.825016i | \(0.308834\pi\) | |||||||
\(90\) | 4.03168 | + | 0.575852i | 0.424976 | + | 0.0607001i | ||||
\(91\) | −0.804990 | + | 1.94342i | −0.0843859 | + | 0.203726i | ||||
\(92\) | −2.41840 | + | 13.6512i | −0.252136 | + | 1.42324i | ||||
\(93\) | −2.01885 | − | 2.13135i | −0.209345 | − | 0.221011i | ||||
\(94\) | −0.832944 | − | 2.64547i | −0.0859116 | − | 0.272859i | ||||
\(95\) | 0.708220 | 0.0726618 | ||||||||
\(96\) | −6.40633 | − | 7.41343i | −0.653843 | − | 0.756630i | ||||
\(97\) | 14.4188 | 1.46400 | 0.732001 | − | 0.681303i | \(-0.238587\pi\) | ||||
0.732001 | + | 0.681303i | \(0.238587\pi\) | |||||||
\(98\) | 0.424720 | + | 1.34893i | 0.0429032 | + | 0.136263i | ||||
\(99\) | 3.55825 | + | 1.70526i | 0.357617 | + | 0.171385i | ||||
\(100\) | 8.03204 | + | 1.42293i | 0.803204 | + | 0.142293i | ||||
\(101\) | 3.29807 | − | 7.96226i | 0.328171 | − | 0.792274i | −0.670558 | − | 0.741857i | \(-0.733945\pi\) |
0.998728 | − | 0.0504166i | \(-0.0160549\pi\) | |||||||
\(102\) | −4.68133 | + | 8.41903i | −0.463521 | + | 0.833608i | ||||
\(103\) | −1.70454 | + | 1.70454i | −0.167953 | + | 0.167953i | −0.786079 | − | 0.618126i | \(-0.787892\pi\) |
0.618126 | + | 0.786079i | \(0.287892\pi\) | |||||||
\(104\) | −1.54683 | + | 5.74512i | −0.151679 | + | 0.563355i | ||||
\(105\) | −1.51826 | − | 0.677652i | −0.148167 | − | 0.0661321i | ||||
\(106\) | 14.7584 | + | 1.29717i | 1.43346 | + | 0.125993i | ||||
\(107\) | −1.30940 | + | 3.16117i | −0.126584 | + | 0.305602i | −0.974448 | − | 0.224612i | \(-0.927888\pi\) |
0.847864 | + | 0.530214i | \(0.177888\pi\) | |||||||
\(108\) | 10.0519 | + | 2.63793i | 0.967248 | + | 0.253835i | ||||
\(109\) | −12.3669 | + | 5.12255i | −1.18454 | + | 0.490651i | −0.885972 | − | 0.463738i | \(-0.846508\pi\) |
−0.298565 | + | 0.954389i | \(0.596508\pi\) | |||||||
\(110\) | −1.58342 | − | 0.825088i | −0.150974 | − | 0.0786691i | ||||
\(111\) | 6.12331 | − | 2.34405i | 0.581199 | − | 0.222487i | ||||
\(112\) | 1.68464 | + | 3.62795i | 0.159183 | + | 0.342809i | ||||
\(113\) | 0.966234 | 0.0908957 | 0.0454478 | − | 0.998967i | \(-0.485529\pi\) | ||||
0.0454478 | + | 0.998967i | \(0.485529\pi\) | |||||||
\(114\) | 1.79532 | + | 0.206959i | 0.168147 | + | 0.0193835i | ||||
\(115\) | 2.54640 | + | 6.14756i | 0.237453 | + | 0.573263i | ||||
\(116\) | −3.43231 | + | 5.37810i | −0.318682 | + | 0.499344i | ||||
\(117\) | −2.09556 | − | 5.95253i | −0.193734 | − | 0.550311i | ||||
\(118\) | 10.3138 | + | 0.906520i | 0.949462 | + | 0.0834520i | ||||
\(119\) | 2.78081 | − | 2.78081i | 0.254917 | − | 0.254917i | ||||
\(120\) | −4.50612 | − | 1.34521i | −0.411351 | − | 0.122801i | ||||
\(121\) | 6.55496 | + | 6.55496i | 0.595905 | + | 0.595905i | ||||
\(122\) | 7.99350 | + | 9.53407i | 0.723698 | + | 0.863174i | ||||
\(123\) | −0.211947 | − | 0.00574555i | −0.0191106 | − | 0.000518059i | ||||
\(124\) | 1.94212 | + | 2.77838i | 0.174407 | + | 0.249506i | ||||
\(125\) | 8.05132 | − | 3.33497i | 0.720132 | − | 0.298288i | ||||
\(126\) | −3.65074 | − | 2.16151i | −0.325234 | − | 0.192562i | ||||
\(127\) | 8.53243i | 0.757131i | 0.925575 | + | 0.378565i | \(0.123582\pi\) | ||||
−0.925575 | + | 0.378565i | \(0.876418\pi\) | |||||||
\(128\) | 6.05197 | + | 9.55896i | 0.534923 | + | 0.844901i | ||||
\(129\) | 8.25961 | − | 3.16184i | 0.727219 | − | 0.278384i | ||||
\(130\) | 0.857607 | + | 2.72380i | 0.0752171 | + | 0.238893i | ||||
\(131\) | 4.06563 | + | 9.81531i | 0.355216 | + | 0.857567i | 0.995959 | + | 0.0898117i | \(0.0286265\pi\) |
−0.640743 | + | 0.767756i | \(0.721373\pi\) | |||||||
\(132\) | −3.77283 | − | 2.55429i | −0.328383 | − | 0.222323i | ||||
\(133\) | −0.681629 | − | 0.282340i | −0.0591047 | − | 0.0244820i | ||||
\(134\) | 15.9382 | − | 13.3628i | 1.37685 | − | 1.15437i | ||||
\(135\) | 4.74801 | − | 1.52822i | 0.408644 | − | 0.131528i | ||||
\(136\) | 6.78205 | − | 8.81649i | 0.581556 | − | 0.756008i | ||||
\(137\) | 2.00725 | + | 2.00725i | 0.171491 | + | 0.171491i | 0.787634 | − | 0.616143i | \(-0.211306\pi\) |
−0.616143 | + | 0.787634i | \(0.711306\pi\) | |||||||
\(138\) | 4.65860 | + | 16.3280i | 0.396567 | + | 1.38993i | ||||
\(139\) | −6.43171 | − | 2.66410i | −0.545531 | − | 0.225966i | 0.0928592 | − | 0.995679i | \(-0.470399\pi\) |
−0.638390 | + | 0.769713i | \(0.720399\pi\) | |||||||
\(140\) | 1.61835 | + | 1.03283i | 0.136775 | + | 0.0872902i | ||||
\(141\) | −2.33595 | − | 2.46613i | −0.196723 | − | 0.207685i | ||||
\(142\) | 1.59328 | + | 0.830222i | 0.133705 | + | 0.0696707i | ||||
\(143\) | 2.76669i | 0.231362i | ||||||||
\(144\) | −11.0298 | − | 4.72688i | −0.919150 | − | 0.393907i | ||||
\(145\) | 3.06216i | 0.254298i | ||||||||
\(146\) | 11.0593 | − | 21.2238i | 0.915273 | − | 1.75650i | ||||
\(147\) | 1.19111 | + | 1.25748i | 0.0982408 | + | 0.103716i | ||||
\(148\) | −7.39281 | + | 1.63271i | −0.607685 | + | 0.134208i | ||||
\(149\) | −2.05528 | − | 0.851323i | −0.168375 | − | 0.0697431i | 0.296904 | − | 0.954907i | \(-0.404046\pi\) |
−0.465279 | + | 0.885164i | \(0.654046\pi\) | |||||||
\(150\) | 9.60700 | − | 2.74100i | 0.784408 | − | 0.223802i | ||||
\(151\) | 3.13563 | + | 3.13563i | 0.255174 | + | 0.255174i | 0.823088 | − | 0.567914i | \(-0.192249\pi\) |
−0.567914 | + | 0.823088i | \(0.692249\pi\) | |||||||
\(152\) | −2.01503 | − | 0.542531i | −0.163440 | − | 0.0440051i | ||||
\(153\) | −0.639179 | + | 11.7807i | −0.0516746 | + | 0.952410i | ||||
\(154\) | 1.19504 | + | 1.42536i | 0.0962993 | + | 0.114859i | ||||
\(155\) | 1.50315 | + | 0.622627i | 0.120736 | + | 0.0500106i | ||||
\(156\) | 1.37805 | + | 7.15539i | 0.110332 | + | 0.572889i | ||||
\(157\) | −0.148972 | − | 0.359650i | −0.0118893 | − | 0.0287032i | 0.917823 | − | 0.396989i | \(-0.129945\pi\) |
−0.929713 | + | 0.368286i | \(0.879945\pi\) | |||||||
\(158\) | 0.912000 | − | 0.287149i | 0.0725548 | − | 0.0228444i | ||||
\(159\) | 16.9458 | − | 6.48695i | 1.34389 | − | 0.514449i | ||||
\(160\) | 4.91674 | + | 2.30476i | 0.388703 | + | 0.182207i | ||||
\(161\) | − | 6.93190i | − | 0.546310i | ||||||
\(162\) | 12.4827 | − | 2.48651i | 0.980732 | − | 0.195359i | ||||
\(163\) | −6.23212 | + | 2.58143i | −0.488137 | + | 0.202193i | −0.613157 | − | 0.789961i | \(-0.710101\pi\) |
0.125020 | + | 0.992154i | \(0.460101\pi\) | |||||||
\(164\) | 0.241072 | + | 0.0427074i | 0.0188245 | + | 0.00333489i | ||||
\(165\) | −2.18598 | − | 0.0592583i | −0.170178 | − | 0.00461325i | ||||
\(166\) | −13.5075 | + | 11.3249i | −1.04838 | + | 0.878981i | ||||
\(167\) | 8.19217 | + | 8.19217i | 0.633929 | + | 0.633929i | 0.949051 | − | 0.315122i | \(-0.102046\pi\) |
−0.315122 | + | 0.949051i | \(0.602046\pi\) | |||||||
\(168\) | 3.80065 | + | 3.09112i | 0.293227 | + | 0.238485i | ||||
\(169\) | −6.06352 | + | 6.06352i | −0.466425 | + | 0.466425i | ||||
\(170\) | 0.467438 | − | 5.31821i | 0.0358509 | − | 0.407888i | ||||
\(171\) | 2.08777 | − | 0.734990i | 0.159656 | − | 0.0562061i | ||||
\(172\) | −9.97201 | + | 2.20233i | −0.760359 | + | 0.167926i | ||||
\(173\) | 8.49759 | + | 20.5150i | 0.646060 | + | 1.55973i | 0.818375 | + | 0.574685i | \(0.194875\pi\) |
−0.172315 | + | 0.985042i | \(0.555125\pi\) | |||||||
\(174\) | −0.894837 | + | 7.76249i | −0.0678374 | + | 0.588473i | ||||
\(175\) | −4.07855 | −0.308310 | ||||||||
\(176\) | 3.87310 | + | 3.56052i | 0.291946 | + | 0.268385i | ||||
\(177\) | 11.8424 | − | 4.53336i | 0.890131 | − | 0.340748i | ||||
\(178\) | 2.26613 | − | 4.34893i | 0.169854 | − | 0.325966i | ||||
\(179\) | 8.62800 | − | 3.57383i | 0.644887 | − | 0.267121i | −0.0361766 | − | 0.999345i | \(-0.511518\pi\) |
0.681063 | + | 0.732225i | \(0.261518\pi\) | |||||||
\(180\) | −5.68303 | + | 0.935550i | −0.423588 | + | 0.0697318i | ||||
\(181\) | 6.97586 | − | 16.8412i | 0.518511 | − | 1.25180i | −0.420306 | − | 0.907382i | \(-0.638077\pi\) |
0.938818 | − | 0.344415i | \(-0.111923\pi\) | |||||||
\(182\) | 0.260468 | − | 2.96343i | 0.0193071 | − | 0.219664i | ||||
\(183\) | 13.9147 | + | 6.21062i | 1.02861 | + | 0.459102i | ||||
\(184\) | −2.53569 | − | 19.4417i | −0.186934 | − | 1.43326i | ||||
\(185\) | −2.56945 | + | 2.56945i | −0.188910 | + | 0.188910i | ||||
\(186\) | 3.62851 | + | 2.01760i | 0.266056 | + | 0.147938i | ||||
\(187\) | 1.97941 | − | 4.77872i | 0.144749 | − | 0.349454i | ||||
\(188\) | 2.24717 | + | 3.21479i | 0.163891 | + | 0.234462i | ||||
\(189\) | −5.17899 | − | 0.422009i | −0.376716 | − | 0.0306967i | ||||
\(190\) | −0.955339 | + | 0.300795i | −0.0693076 | + | 0.0218220i | ||||
\(191\) | −22.1565 | −1.60319 | −0.801596 | − | 0.597866i | \(-0.796015\pi\) | ||||
−0.801596 | + | 0.597866i | \(0.796015\pi\) | |||||||
\(192\) | 11.7903 | + | 7.27931i | 0.850893 | + | 0.525339i | ||||
\(193\) | −8.41352 | −0.605618 | −0.302809 | − | 0.953051i | \(-0.597924\pi\) | ||||
−0.302809 | + | 0.953051i | \(0.597924\pi\) | |||||||
\(194\) | −19.4499 | + | 6.12393i | −1.39642 | + | 0.439672i | ||||
\(195\) | 2.40512 | + | 2.53915i | 0.172234 | + | 0.181832i | ||||
\(196\) | −1.14583 | − | 1.63923i | −0.0818453 | − | 0.117088i | ||||
\(197\) | 6.93604 | − | 16.7451i | 0.494172 | − | 1.19304i | −0.458406 | − | 0.888743i | \(-0.651579\pi\) |
0.952578 | − | 0.304294i | \(-0.0984207\pi\) | |||||||
\(198\) | −5.52408 | − | 0.789014i | −0.392579 | − | 0.0560728i | ||||
\(199\) | 5.46269 | − | 5.46269i | 0.387240 | − | 0.387240i | −0.486462 | − | 0.873702i | \(-0.661713\pi\) |
0.873702 | + | 0.486462i | \(0.161713\pi\) | |||||||
\(200\) | −11.4390 | + | 1.49194i | −0.808860 | + | 0.105496i | ||||
\(201\) | 10.3823 | − | 23.2614i | 0.732314 | − | 1.64073i | ||||
\(202\) | −1.06715 | + | 12.1413i | −0.0750841 | + | 0.854258i | ||||
\(203\) | 1.22076 | − | 2.94719i | 0.0856809 | − | 0.206852i | ||||
\(204\) | 2.73906 | − | 13.3449i | 0.191772 | − | 0.934333i | ||||
\(205\) | 0.108562 | − | 0.0449678i | 0.00758228 | − | 0.00314069i | ||||
\(206\) | 1.57535 | − | 3.02326i | 0.109760 | − | 0.210640i | ||||
\(207\) | 13.8865 | + | 15.4798i | 0.965180 | + | 1.07592i | ||||
\(208\) | −0.353497 | − | 8.40673i | −0.0245106 | − | 0.582902i | ||||
\(209\) | −0.970381 | −0.0671226 | ||||||||
\(210\) | 2.33585 | + | 0.269269i | 0.161189 | + | 0.0185813i | ||||
\(211\) | 7.58390 | + | 18.3092i | 0.522097 | + | 1.26045i | 0.936598 | + | 0.350406i | \(0.113956\pi\) |
−0.414501 | + | 0.910049i | \(0.636044\pi\) | |||||||
\(212\) | −20.4590 | + | 4.51839i | −1.40513 | + | 0.310324i | ||||
\(213\) | 2.19958 | + | 0.0596271i | 0.150713 | + | 0.00408558i | ||||
\(214\) | 0.423677 | − | 4.82033i | 0.0289620 | − | 0.329511i | ||||
\(215\) | −3.46588 | + | 3.46588i | −0.236371 | + | 0.236371i | ||||
\(216\) | −14.6797 | + | 0.710876i | −0.998830 | + | 0.0483690i | ||||
\(217\) | −1.19850 | − | 1.19850i | −0.0813595 | − | 0.0813595i | ||||
\(218\) | 14.5065 | − | 12.1624i | 0.982503 | − | 0.823745i | ||||
\(219\) | 0.794285 | − | 29.3003i | 0.0536728 | − | 1.97993i | ||||
\(220\) | 2.48636 | + | 0.440475i | 0.167630 | + | 0.0296968i | ||||
\(221\) | −7.64280 | + | 3.16575i | −0.514111 | + | 0.212952i | ||||
\(222\) | −7.26436 | + | 5.76265i | −0.487552 | + | 0.386763i | ||||
\(223\) | − | 26.5051i | − | 1.77491i | −0.460894 | − | 0.887455i | \(-0.652471\pi\) | ||
0.460894 | − | 0.887455i | \(-0.347529\pi\) | |||||||
\(224\) | −3.81332 | − | 4.17835i | −0.254788 | − | 0.279178i | ||||
\(225\) | 9.10795 | − | 8.17048i | 0.607196 | − | 0.544698i | ||||
\(226\) | −1.30338 | + | 0.410379i | −0.0866997 | + | 0.0272980i | ||||
\(227\) | −4.48143 | − | 10.8191i | −0.297443 | − | 0.718091i | −0.999979 | − | 0.00644297i | \(-0.997949\pi\) |
0.702536 | − | 0.711648i | \(-0.252051\pi\) | |||||||
\(228\) | −2.50966 | + | 0.483334i | −0.166206 | + | 0.0320096i | ||||
\(229\) | 8.50863 | + | 3.52439i | 0.562266 | + | 0.232898i | 0.645669 | − | 0.763618i | \(-0.276579\pi\) |
−0.0834026 | + | 0.996516i | \(0.526579\pi\) | |||||||
\(230\) | −6.04591 | − | 7.21112i | −0.398655 | − | 0.475487i | ||||
\(231\) | 2.08028 | + | 0.928499i | 0.136872 | + | 0.0610907i | ||||
\(232\) | 2.34576 | − | 8.71245i | 0.154007 | − | 0.572000i | ||||
\(233\) | 14.1416 | + | 14.1416i | 0.926445 | + | 0.926445i | 0.997474 | − | 0.0710297i | \(-0.0226285\pi\) |
−0.0710297 | + | 0.997474i | \(0.522628\pi\) | |||||||
\(234\) | 5.35492 | + | 7.13952i | 0.350062 | + | 0.466725i | ||||
\(235\) | 1.73926 | + | 0.720423i | 0.113457 | + | 0.0469952i | ||||
\(236\) | −14.2976 | + | 3.15764i | −0.930696 | + | 0.205545i | ||||
\(237\) | 0.850174 | − | 0.805297i | 0.0552247 | − | 0.0523096i | ||||
\(238\) | −2.57006 | + | 4.93219i | −0.166592 | + | 0.319706i | ||||
\(239\) | 4.13989i | 0.267787i | 0.990996 | + | 0.133894i | \(0.0427481\pi\) | ||||
−0.990996 | + | 0.133894i | \(0.957252\pi\) | |||||||
\(240\) | 6.64978 | − | 0.0992407i | 0.429241 | − | 0.00640596i | ||||
\(241\) | 23.4740i | 1.51209i | 0.654519 | + | 0.756046i | \(0.272871\pi\) | ||||
−0.654519 | + | 0.756046i | \(0.727129\pi\) | |||||||
\(242\) | −11.6262 | − | 6.05816i | −0.747361 | − | 0.389433i | ||||
\(243\) | 12.4108 | − | 9.43255i | 0.796151 | − | 0.605098i | ||||
\(244\) | −14.8320 | − | 9.46580i | −0.949521 | − | 0.605986i | ||||
\(245\) | −0.886850 | − | 0.367345i | −0.0566588 | − | 0.0234688i | ||||
\(246\) | 0.288342 | − | 0.0822678i | 0.0183840 | − | 0.00524521i | ||||
\(247\) | 1.09741 | + | 1.09741i | 0.0698265 | + | 0.0698265i | ||||
\(248\) | −3.79981 | − | 2.92299i | −0.241288 | − | 0.185610i | ||||
\(249\) | −8.79896 | + | 19.7139i | −0.557611 | + | 1.24931i | ||||
\(250\) | −9.44424 | + | 7.91819i | −0.597306 | + | 0.500790i | ||||
\(251\) | −22.4828 | − | 9.31269i | −1.41910 | − | 0.587812i | −0.464468 | − | 0.885590i | \(-0.653754\pi\) |
−0.954635 | + | 0.297778i | \(0.903754\pi\) | |||||||
\(252\) | 5.84263 | + | 1.36518i | 0.368051 | + | 0.0859984i | ||||
\(253\) | −3.48900 | − | 8.42319i | −0.219352 | − | 0.529562i | ||||
\(254\) | −3.62389 | − | 11.5097i | −0.227383 | − | 0.722180i | ||||
\(255\) | −2.33758 | − | 6.10643i | −0.146385 | − | 0.382400i | ||||
\(256\) | −12.2236 | − | 10.3240i | −0.763972 | − | 0.645249i | ||||
\(257\) | 8.78630i | 0.548074i | 0.961719 | + | 0.274037i | \(0.0883591\pi\) | ||||
−0.961719 | + | 0.274037i | \(0.911641\pi\) | |||||||
\(258\) | −9.79875 | + | 7.77312i | −0.610044 | + | 0.483933i | ||||
\(259\) | 3.49732 | − | 1.44864i | 0.217313 | − | 0.0900141i | ||||
\(260\) | −2.31370 | − | 3.30998i | −0.143490 | − | 0.205276i | ||||
\(261\) | 3.17791 | + | 9.02699i | 0.196707 | + | 0.558756i | ||||
\(262\) | −9.65301 | − | 11.5134i | −0.596365 | − | 0.711301i | ||||
\(263\) | 10.7405 | + | 10.7405i | 0.662286 | + | 0.662286i | 0.955918 | − | 0.293633i | \(-0.0948642\pi\) |
−0.293633 | + | 0.955918i | \(0.594864\pi\) | |||||||
\(264\) | 6.17415 | + | 1.84317i | 0.379993 | + | 0.113439i | ||||
\(265\) | −7.11075 | + | 7.11075i | −0.436810 | + | 0.436810i | ||||
\(266\) | 1.03939 | + | 0.0913557i | 0.0637288 | + | 0.00560138i | ||||
\(267\) | 0.162755 | − | 6.00386i | 0.00996044 | − | 0.367430i | ||||
\(268\) | −15.8241 | + | 24.7948i | −0.966608 | + | 1.51458i | ||||
\(269\) | 6.22175 | + | 15.0206i | 0.379347 | + | 0.915824i | 0.992088 | + | 0.125541i | \(0.0400666\pi\) |
−0.612742 | + | 0.790283i | \(0.709933\pi\) | |||||||
\(270\) | −5.75567 | + | 4.07803i | −0.350279 | + | 0.248181i | ||||
\(271\) | 21.9807 | 1.33523 | 0.667616 | − | 0.744506i | \(-0.267315\pi\) | ||||
0.667616 | + | 0.744506i | \(0.267315\pi\) | |||||||
\(272\) | −5.40397 | + | 14.7733i | −0.327664 | + | 0.895763i | ||||
\(273\) | −1.30256 | − | 3.40265i | −0.0788342 | − | 0.205937i | ||||
\(274\) | −3.56015 | − | 1.85512i | −0.215077 | − | 0.112072i | ||||
\(275\) | −4.95599 | + | 2.05284i | −0.298858 | + | 0.123791i | ||||
\(276\) | −13.2190 | − | 20.0468i | −0.795688 | − | 1.20667i | ||||
\(277\) | 8.98036 | − | 21.6805i | 0.539578 | − | 1.30266i | −0.385441 | − | 0.922733i | \(-0.625951\pi\) |
0.925018 | − | 0.379923i | \(-0.124049\pi\) | |||||||
\(278\) | 9.80743 | + | 0.862014i | 0.588211 | + | 0.0517001i | ||||
\(279\) | 5.07734 | + | 0.275480i | 0.303972 | + | 0.0164925i | ||||
\(280\) | −2.62170 | − | 0.705874i | −0.156677 | − | 0.0421840i | ||||
\(281\) | −9.67379 | + | 9.67379i | −0.577090 | + | 0.577090i | −0.934100 | − | 0.357010i | \(-0.883796\pi\) |
0.357010 | + | 0.934100i | \(0.383796\pi\) | |||||||
\(282\) | 4.19845 | + | 2.33451i | 0.250014 | + | 0.139018i | ||||
\(283\) | −5.54807 | + | 13.3942i | −0.329798 | + | 0.796204i | 0.668808 | + | 0.743435i | \(0.266805\pi\) |
−0.998607 | + | 0.0527690i | \(0.983195\pi\) | |||||||
\(284\) | −2.50183 | − | 0.443215i | −0.148456 | − | 0.0263000i | ||||
\(285\) | −0.890575 | + | 0.843565i | −0.0527531 | + | 0.0499685i | ||||
\(286\) | −1.17507 | − | 3.73207i | −0.0694832 | − | 0.220682i | ||||
\(287\) | −0.122413 | −0.00722580 | ||||||||
\(288\) | 16.8860 | + | 1.69166i | 0.995019 | + | 0.0996818i | ||||
\(289\) | −1.53417 | −0.0902455 | ||||||||
\(290\) | −1.30056 | − | 4.13064i | −0.0763714 | − | 0.242559i | ||||
\(291\) | −18.1313 | + | 17.1743i | −1.06288 | + | 1.00677i | ||||
\(292\) | −5.90402 | + | 33.3266i | −0.345507 | + | 1.95029i | ||||
\(293\) | 3.98412 | − | 9.61853i | 0.232755 | − | 0.561920i | −0.763745 | − | 0.645519i | \(-0.776641\pi\) |
0.996500 | + | 0.0835983i | \(0.0266413\pi\) | |||||||
\(294\) | −2.14080 | − | 1.19037i | −0.124854 | − | 0.0694239i | ||||
\(295\) | −4.96930 | + | 4.96930i | −0.289324 | + | 0.289324i | ||||
\(296\) | 9.27894 | − | 5.34228i | 0.539327 | − | 0.310514i | ||||
\(297\) | −6.50558 | + | 2.09392i | −0.377492 | + | 0.121501i | ||||
\(298\) | 3.13400 | + | 0.275459i | 0.181548 | + | 0.0159569i | ||||
\(299\) | −5.58011 | + | 13.4716i | −0.322706 | + | 0.779081i | ||||
\(300\) | −11.7950 | + | 7.77771i | −0.680986 | + | 0.449046i | ||||
\(301\) | 4.71747 | − | 1.95404i | 0.271911 | − | 0.112629i | ||||
\(302\) | −5.56152 | − | 2.89799i | −0.320029 | − | 0.166760i | ||||
\(303\) | 5.33662 | + | 13.9408i | 0.306581 | + | 0.800876i | ||||
\(304\) | 2.94856 | − | 0.123985i | 0.169111 | − | 0.00711101i | ||||
\(305\) | −8.44497 | −0.483557 | ||||||||
\(306\) | −4.14127 | − | 16.1628i | −0.236741 | − | 0.923963i | ||||
\(307\) | 1.96832 | + | 4.75195i | 0.112338 | + | 0.271208i | 0.970043 | − | 0.242935i | \(-0.0781101\pi\) |
−0.857705 | + | 0.514143i | \(0.828110\pi\) | |||||||
\(308\) | −2.21741 | − | 1.41515i | −0.126349 | − | 0.0806359i | ||||
\(309\) | 0.113143 | − | 4.17372i | 0.00643647 | − | 0.237435i | ||||
\(310\) | −2.29209 | − | 0.201461i | −0.130182 | − | 0.0114422i | ||||
\(311\) | 18.1819 | − | 18.1819i | 1.03100 | − | 1.03100i | 0.0314964 | − | 0.999504i | \(-0.489973\pi\) |
0.999504 | − | 0.0314964i | \(-0.0100273\pi\) | |||||||
\(312\) | −4.89793 | − | 9.06683i | −0.277291 | − | 0.513308i | ||||
\(313\) | −18.8918 | − | 18.8918i | −1.06783 | − | 1.06783i | −0.997526 | − | 0.0703038i | \(-0.977603\pi\) |
−0.0703038 | − | 0.997526i | \(-0.522397\pi\) | |||||||
\(314\) | 0.353703 | + | 0.421872i | 0.0199606 | + | 0.0238076i | ||||
\(315\) | 2.71635 | − | 0.956277i | 0.153049 | − | 0.0538801i | ||||
\(316\) | −1.10827 | + | 0.774689i | −0.0623449 | + | 0.0435797i | ||||
\(317\) | 26.7386 | − | 11.0755i | 1.50179 | − | 0.622060i | 0.527943 | − | 0.849280i | \(-0.322963\pi\) |
0.973844 | + | 0.227219i | \(0.0729634\pi\) | |||||||
\(318\) | −20.1035 | + | 15.9476i | −1.12735 | + | 0.894300i | ||||
\(319\) | − | 4.19567i | − | 0.234913i | ||||||
\(320\) | −7.61122 | − | 1.02073i | −0.425480 | − | 0.0570603i | ||||
\(321\) | −2.11874 | − | 5.53476i | −0.118257 | − | 0.308920i | ||||
\(322\) | 2.94411 | + | 9.35065i | 0.164069 | + | 0.521091i | ||||
\(323\) | −1.11035 | − | 2.68062i | −0.0617814 | − | 0.149154i | ||||
\(324\) | −15.7822 | + | 8.65577i | −0.876788 | + | 0.480876i | ||||
\(325\) | 7.92633 | + | 3.28319i | 0.439674 | + | 0.182119i | ||||
\(326\) | 7.31031 | − | 6.12907i | 0.404881 | − | 0.339458i | ||||
\(327\) | 9.44971 | − | 21.1719i | 0.522570 | − | 1.17081i | ||||
\(328\) | −0.343328 | + | 0.0447786i | −0.0189571 | + | 0.00247249i | ||||
\(329\) | −1.38675 | − | 1.38675i | −0.0764540 | − | 0.0764540i | ||||
\(330\) | 2.97390 | − | 0.848492i | 0.163708 | − | 0.0467079i | ||||
\(331\) | 2.25712 | + | 0.934930i | 0.124063 | + | 0.0513884i | 0.443851 | − | 0.896101i | \(-0.353612\pi\) |
−0.319789 | + | 0.947489i | \(0.603612\pi\) | |||||||
\(332\) | 13.4108 | − | 21.0134i | 0.736011 | − | 1.15326i | ||||
\(333\) | −4.90796 | + | 10.2411i | −0.268954 | + | 0.561210i | ||||
\(334\) | −14.5300 | − | 7.57129i | −0.795048 | − | 0.414282i | ||||
\(335\) | 14.1175i | 0.771322i | ||||||||
\(336\) | −6.43968 | − | 2.55550i | −0.351313 | − | 0.139414i | ||||
\(337\) | 18.6460i | 1.01571i | 0.861442 | + | 0.507856i | \(0.169562\pi\) | ||||
−0.861442 | + | 0.507856i | \(0.830438\pi\) | |||||||
\(338\) | 5.60397 | − | 10.7546i | 0.304816 | − | 0.584972i | ||||
\(339\) | −1.21502 | + | 1.15089i | −0.0659910 | + | 0.0625076i | ||||
\(340\) | 1.62821 | + | 7.37243i | 0.0883019 | + | 0.399826i | ||||
\(341\) | −2.05958 | − | 0.853104i | −0.111532 | − | 0.0461982i | ||||
\(342\) | −2.50410 | + | 1.87817i | −0.135406 | + | 0.101560i | ||||
\(343\) | 0.707107 | + | 0.707107i | 0.0381802 | + | 0.0381802i | ||||
\(344\) | 12.5162 | − | 7.20610i | 0.674827 | − | 0.388527i | ||||
\(345\) | −10.5245 | − | 4.69742i | −0.566618 | − | 0.252901i | ||||
\(346\) | −20.1758 | − | 24.0642i | −1.08466 | − | 1.29370i | ||||
\(347\) | −25.0932 | − | 10.3939i | −1.34707 | − | 0.557976i | −0.411598 | − | 0.911366i | \(-0.635029\pi\) |
−0.935476 | + | 0.353389i | \(0.885029\pi\) | |||||||
\(348\) | −2.08981 | − | 10.8511i | −0.112026 | − | 0.581681i | ||||
\(349\) | −12.5057 | − | 30.1915i | −0.669417 | − | 1.61612i | −0.782588 | − | 0.622540i | \(-0.786101\pi\) |
0.113171 | − | 0.993576i | \(-0.463899\pi\) | |||||||
\(350\) | 5.50168 | − | 1.73224i | 0.294077 | − | 0.0925922i | ||||
\(351\) | 9.72522 | + | 4.98917i | 0.519094 | + | 0.266302i | ||||
\(352\) | −6.73677 | − | 3.15791i | −0.359071 | − | 0.168317i | ||||
\(353\) | − | 13.5206i | − | 0.719630i | −0.933024 | − | 0.359815i | \(-0.882840\pi\) | ||
0.933024 | − | 0.359815i | \(-0.117160\pi\) | |||||||
\(354\) | −14.0492 | + | 11.1449i | −0.746707 | + | 0.592345i | ||||
\(355\) | −1.12665 | + | 0.466673i | −0.0597963 | + | 0.0247684i | ||||
\(356\) | −1.20978 | + | 6.82887i | −0.0641181 | + | 0.361929i | ||||
\(357\) | −0.184583 | + | 6.80907i | −0.00976917 | + | 0.360374i | ||||
\(358\) | −10.1207 | + | 8.48533i | −0.534895 | + | 0.448464i | ||||
\(359\) | −18.8502 | − | 18.8502i | −0.994877 | − | 0.994877i | 0.00510992 | − | 0.999987i | \(-0.498373\pi\) |
−0.999987 | + | 0.00510992i | \(0.998373\pi\) | |||||||
\(360\) | 7.26866 | − | 3.67569i | 0.383092 | − | 0.193726i | ||||
\(361\) | 13.0501 | − | 13.0501i | 0.686849 | − | 0.686849i | ||||
\(362\) | −2.25715 | + | 25.6804i | −0.118633 | + | 1.34973i | ||||
\(363\) | −16.0504 | − | 0.435101i | −0.842428 | − | 0.0228369i | ||||
\(364\) | 0.907275 | + | 4.10809i | 0.0475541 | + | 0.215322i | ||||
\(365\) | 6.21650 | + | 15.0080i | 0.325386 | + | 0.785552i | ||||
\(366\) | −21.4078 | − | 2.46783i | −1.11900 | − | 0.128995i | ||||
\(367\) | −12.3277 | −0.643500 | −0.321750 | − | 0.946825i | \(-0.604271\pi\) | ||||
−0.321750 | + | 0.946825i | \(0.604271\pi\) | |||||||
\(368\) | 11.6777 | + | 25.1486i | 0.608745 | + | 1.31096i | ||||
\(369\) | 0.273364 | − | 0.245227i | 0.0142307 | − | 0.0127660i | ||||
\(370\) | 2.37472 | − | 4.55731i | 0.123456 | − | 0.236923i | ||||
\(371\) | 9.67856 | − | 4.00899i | 0.502486 | − | 0.208136i | ||||
\(372\) | −5.75153 | − | 1.18050i | −0.298203 | − | 0.0612063i | ||||
\(373\) | −0.920752 | + | 2.22289i | −0.0476747 | + | 0.115097i | −0.945923 | − | 0.324392i | \(-0.894840\pi\) |
0.898248 | + | 0.439489i | \(0.144840\pi\) | |||||||
\(374\) | −0.640470 | + | 7.28685i | −0.0331179 | + | 0.376794i | ||||
\(375\) | −6.15210 | + | 13.7836i | −0.317693 | + | 0.711784i | ||||
\(376\) | −4.39665 | − | 3.38211i | −0.226740 | − | 0.174419i | ||||
\(377\) | −4.74491 | + | 4.74491i | −0.244375 | + | 0.244375i | ||||
\(378\) | 7.16533 | − | 1.63036i | 0.368545 | − | 0.0838565i | ||||
\(379\) | −8.14828 | + | 19.6717i | −0.418549 | + | 1.01047i | 0.564219 | + | 0.825625i | \(0.309177\pi\) |
−0.982768 | + | 0.184842i | \(0.940823\pi\) | |||||||
\(380\) | 1.16093 | − | 0.811503i | 0.0595546 | − | 0.0416292i | ||||
\(381\) | −10.1630 | − | 10.7294i | −0.520668 | − | 0.549683i | ||||
\(382\) | 29.8876 | − | 9.41032i | 1.52918 | − | 0.481474i | ||||
\(383\) | 0.949079 | 0.0484957 | 0.0242478 | − | 0.999706i | \(-0.492281\pi\) | ||||
0.0242478 | + | 0.999706i | \(0.492281\pi\) | |||||||
\(384\) | −18.9960 | − | 4.81170i | −0.969385 | − | 0.245546i | ||||
\(385\) | −1.26254 | −0.0643449 | ||||||||
\(386\) | 11.3493 | − | 3.57339i | 0.577662 | − | 0.181881i | ||||
\(387\) | −6.62025 | + | 13.8140i | −0.336526 | + | 0.702207i | ||||
\(388\) | 23.6356 | − | 16.5215i | 1.19992 | − | 0.838752i | ||||
\(389\) | −2.94637 | + | 7.11316i | −0.149387 | + | 0.360651i | −0.980804 | − | 0.194998i | \(-0.937530\pi\) |
0.831417 | + | 0.555649i | \(0.187530\pi\) | |||||||
\(390\) | −4.32276 | − | 2.40363i | −0.218892 | − | 0.121713i | ||||
\(391\) | 19.2763 | − | 19.2763i | 0.974845 | − | 0.974845i | ||||
\(392\) | 2.24186 | + | 1.72454i | 0.113231 | + | 0.0871026i | ||||
\(393\) | −16.8035 | − | 7.49999i | −0.847627 | − | 0.378324i | ||||
\(394\) | −2.24427 | + | 25.5338i | −0.113065 | + | 1.28638i | ||||
\(395\) | −0.248359 | + | 0.599592i | −0.0124963 | + | 0.0301687i | ||||
\(396\) | 7.78671 | − | 1.28186i | 0.391297 | − | 0.0644160i | ||||
\(397\) | 4.32229 | − | 1.79035i | 0.216930 | − | 0.0898552i | −0.271572 | − | 0.962418i | \(-0.587544\pi\) |
0.488502 | + | 0.872563i | \(0.337544\pi\) | |||||||
\(398\) | −5.04868 | + | 9.68891i | −0.253067 | + | 0.485661i | ||||
\(399\) | 1.19343 | − | 0.456855i | 0.0597465 | − | 0.0228714i | ||||
\(400\) | 14.7968 | − | 6.87089i | 0.739839 | − | 0.343545i | ||||
\(401\) | 36.4445 | 1.81995 | 0.909975 | − | 0.414663i | \(-0.136101\pi\) | ||||
0.909975 | + | 0.414663i | \(0.136101\pi\) | |||||||
\(402\) | −4.12548 | + | 35.7876i | −0.205760 | + | 1.78492i | ||||
\(403\) | 1.36441 | + | 3.29397i | 0.0679659 | + | 0.164084i | ||||
\(404\) | −3.71714 | − | 16.8310i | −0.184935 | − | 0.837373i | ||||
\(405\) | −4.15028 | + | 7.57710i | −0.206229 | + | 0.376509i | ||||
\(406\) | −0.394998 | + | 4.49403i | −0.0196034 | + | 0.223035i | ||||
\(407\) | 3.52059 | − | 3.52059i | 0.174509 | − | 0.174509i | ||||
\(408\) | 1.97306 | + | 19.1647i | 0.0976812 | + | 0.948795i | ||||
\(409\) | 10.7660 | + | 10.7660i | 0.532346 | + | 0.532346i | 0.921270 | − | 0.388924i | \(-0.127153\pi\) |
−0.388924 | + | 0.921270i | \(0.627153\pi\) | |||||||
\(410\) | −0.127344 | + | 0.106767i | −0.00628905 | + | 0.00527283i | ||||
\(411\) | −4.91492 | − | 0.133236i | −0.242435 | − | 0.00657203i | ||||
\(412\) | −0.841006 | + | 4.74725i | −0.0414334 | + | 0.233880i | ||||
\(413\) | 6.76379 | − | 2.80165i | 0.332824 | − | 0.137860i | ||||
\(414\) | −25.3065 | − | 14.9834i | −1.24375 | − | 0.736391i | ||||
\(415\) | − | 11.9645i | − | 0.587314i | ||||||
\(416\) | 4.04735 | + | 11.1900i | 0.198438 | + | 0.548633i | ||||
\(417\) | 11.2610 | − | 4.31079i | 0.551454 | − | 0.211100i | ||||
\(418\) | 1.30898 | − | 0.412140i | 0.0640241 | − | 0.0201584i | ||||
\(419\) | −10.2380 | − | 24.7167i | −0.500158 | − | 1.20749i | −0.949397 | − | 0.314077i | \(-0.898305\pi\) |
0.449239 | − | 0.893412i | \(-0.351695\pi\) | |||||||
\(420\) | −3.26526 | + | 0.628854i | −0.159328 | + | 0.0306849i | ||||
\(421\) | 25.5449 | + | 10.5811i | 1.24498 | + | 0.515689i | 0.905269 | − | 0.424839i | \(-0.139669\pi\) |
0.339715 | + | 0.940528i | \(0.389669\pi\) | |||||||
\(422\) | −18.0064 | − | 21.4767i | −0.876539 | − | 1.04547i | ||||
\(423\) | 5.87484 | + | 0.318749i | 0.285644 | + | 0.0154981i | ||||
\(424\) | 25.6787 | − | 14.7843i | 1.24707 | − | 0.717990i | ||||
\(425\) | −11.3417 | − | 11.3417i | −0.550153 | − | 0.550153i | ||||
\(426\) | −2.99240 | + | 0.853772i | −0.144982 | + | 0.0413654i | ||||
\(427\) | 8.12790 | + | 3.36669i | 0.393337 | + | 0.162925i | ||||
\(428\) | 1.47578 | + | 6.68223i | 0.0713344 | + | 0.322998i | ||||
\(429\) | −3.29542 | − | 3.47906i | −0.159104 | − | 0.167971i | ||||
\(430\) | 3.20321 | − | 6.14727i | 0.154472 | − | 0.296447i | ||||
\(431\) | 12.4387i | 0.599149i | 0.954073 | + | 0.299575i | \(0.0968448\pi\) | ||||
−0.954073 | + | 0.299575i | \(0.903155\pi\) | |||||||
\(432\) | 19.5000 | − | 7.19370i | 0.938195 | − | 0.346107i | ||||
\(433\) | 15.7318i | 0.756024i | 0.925801 | + | 0.378012i | \(0.123392\pi\) | ||||
−0.925801 | + | 0.378012i | \(0.876608\pi\) | |||||||
\(434\) | 2.12572 | + | 1.10767i | 0.102038 | + | 0.0531697i | ||||
\(435\) | −3.64735 | − | 3.85061i | −0.174877 | − | 0.184623i | ||||
\(436\) | −14.4026 | + | 22.5675i | −0.689759 | + | 1.08079i | ||||
\(437\) | −4.72498 | − | 1.95715i | −0.226027 | − | 0.0936233i | ||||
\(438\) | 11.3730 | + | 39.8614i | 0.543422 | + | 1.90465i | ||||
\(439\) | −12.3332 | − | 12.3332i | −0.588629 | − | 0.588629i | 0.348631 | − | 0.937260i | \(-0.386647\pi\) |
−0.937260 | + | 0.348631i | \(0.886647\pi\) | |||||||
\(440\) | −3.54100 | + | 0.461837i | −0.168811 | + | 0.0220172i | ||||
\(441\) | −2.99559 | − | 0.162531i | −0.142647 | − | 0.00773957i | ||||
\(442\) | 8.96505 | − | 7.51643i | 0.426424 | − | 0.357520i | ||||
\(443\) | −28.0084 | − | 11.6015i | −1.33072 | − | 0.551202i | −0.399859 | − | 0.916576i | \(-0.630941\pi\) |
−0.930861 | + | 0.365374i | \(0.880941\pi\) | |||||||
\(444\) | 7.35161 | − | 10.8587i | 0.348892 | − | 0.515332i | ||||
\(445\) | 1.27381 | + | 3.07524i | 0.0603843 | + | 0.145781i | ||||
\(446\) | 11.2572 | + | 35.7535i | 0.533045 | + | 1.69298i | ||||
\(447\) | 3.59849 | − | 1.37753i | 0.170203 | − | 0.0651548i | ||||
\(448\) | 6.91853 | + | 4.01671i | 0.326870 | + | 0.189772i | ||||
\(449\) | − | 21.5459i | − | 1.01682i | −0.861116 | − | 0.508408i | \(-0.830234\pi\) | ||
0.861116 | − | 0.508408i | \(-0.169766\pi\) | |||||||
\(450\) | −8.81582 | + | 14.8897i | −0.415582 | + | 0.701909i | ||||
\(451\) | −0.148748 | + | 0.0616135i | −0.00700427 | + | 0.00290126i | ||||
\(452\) | 1.58388 | − | 1.10714i | 0.0744993 | − | 0.0520757i | ||||
\(453\) | −7.67788 | − | 0.208135i | −0.360738 | − | 0.00977904i | ||||
\(454\) | 10.6402 | + | 12.6909i | 0.499371 | + | 0.595614i | ||||
\(455\) | 1.42781 | + | 1.42781i | 0.0669368 | + | 0.0669368i | ||||
\(456\) | 3.18008 | − | 1.71789i | 0.148921 | − | 0.0804474i | ||||
\(457\) | −15.6557 | + | 15.6557i | −0.732343 | + | 0.732343i | −0.971083 | − | 0.238741i | \(-0.923265\pi\) |
0.238741 | + | 0.971083i | \(0.423265\pi\) | |||||||
\(458\) | −12.9744 | − | 1.14037i | −0.606255 | − | 0.0532861i | ||||
\(459\) | −13.2283 | − | 15.5753i | −0.617442 | − | 0.726994i | ||||
\(460\) | 11.2182 | + | 7.15948i | 0.523052 | + | 0.333813i | ||||
\(461\) | 10.8831 | + | 26.2740i | 0.506874 | + | 1.22370i | 0.945674 | + | 0.325118i | \(0.105404\pi\) |
−0.438799 | + | 0.898585i | \(0.644596\pi\) | |||||||
\(462\) | −3.20050 | − | 0.368944i | −0.148901 | − | 0.0171648i | ||||
\(463\) | −34.8535 | −1.61978 | −0.809889 | − | 0.586583i | \(-0.800473\pi\) | ||||
−0.809889 | + | 0.586583i | \(0.800473\pi\) | |||||||
\(464\) | 0.536078 | + | 12.7488i | 0.0248868 | + | 0.591847i | ||||
\(465\) | −2.63181 | + | 1.00747i | −0.122047 | + | 0.0467205i | ||||
\(466\) | −25.0822 | − | 13.0698i | −1.16191 | − | 0.605446i | ||||
\(467\) | 14.5891 | − | 6.04300i | 0.675102 | − | 0.279636i | −0.0186756 | − | 0.999826i | \(-0.505945\pi\) |
0.693778 | + | 0.720189i | \(0.255945\pi\) | |||||||
\(468\) | −10.2557 | − | 7.35637i | −0.474070 | − | 0.340049i | ||||
\(469\) | 5.62812 | − | 13.5875i | 0.259882 | − | 0.627411i | ||||
\(470\) | −2.65211 | − | 0.233105i | −0.122333 | − | 0.0107523i | ||||
\(471\) | 0.615712 | + | 0.274813i | 0.0283705 | + | 0.0126627i | ||||
\(472\) | 17.9454 | − | 10.3319i | 0.826003 | − | 0.475565i | ||||
\(473\) | 4.74885 | − | 4.74885i | 0.218352 | − | 0.218352i | ||||
\(474\) | −0.804800 | + | 1.44737i | −0.0369657 | + | 0.0664801i | ||||
\(475\) | −1.15154 | + | 2.78006i | −0.0528362 | + | 0.127558i | ||||
\(476\) | 1.37203 | − | 7.74473i | 0.0628868 | − | 0.354979i | ||||
\(477\) | −13.5824 | + | 28.3414i | −0.621894 | + | 1.29767i | ||||
\(478\) | −1.75829 | − | 5.58443i | −0.0804225 | − | 0.255426i | ||||
\(479\) | −8.38541 | −0.383139 | −0.191570 | − | 0.981479i | \(-0.561358\pi\) | ||||
−0.191570 | + | 0.981479i | \(0.561358\pi\) | |||||||
\(480\) | −8.92794 | + | 2.95816i | −0.407503 | + | 0.135021i | ||||
\(481\) | −7.96290 | −0.363077 | ||||||||
\(482\) | −9.96986 | − | 31.6648i | −0.454115 | − | 1.44229i | ||||
\(483\) | 8.25663 | + | 8.71675i | 0.375690 | + | 0.396626i | ||||
\(484\) | 18.2560 | + | 3.23416i | 0.829816 | + | 0.147007i | ||||
\(485\) | 5.29666 | − | 12.7873i | 0.240509 | − | 0.580640i | ||||
\(486\) | −12.7351 | + | 17.9949i | −0.577674 | + | 0.816267i | ||||
\(487\) | 16.3184 | − | 16.3184i | 0.739457 | − | 0.739457i | −0.233016 | − | 0.972473i | \(-0.574859\pi\) |
0.972473 | + | 0.233016i | \(0.0748594\pi\) | |||||||
\(488\) | 24.0276 | + | 6.46927i | 1.08768 | + | 0.292850i | ||||
\(489\) | 4.76203 | − | 10.6692i | 0.215347 | − | 0.482479i | ||||
\(490\) | 1.35232 | + | 0.118861i | 0.0610915 | + | 0.00536957i | ||||
\(491\) | −8.96385 | + | 21.6406i | −0.404533 | + | 0.976629i | 0.582018 | + | 0.813176i | \(0.302263\pi\) |
−0.986551 | + | 0.163453i | \(0.947737\pi\) | |||||||
\(492\) | −0.354013 | + | 0.233438i | −0.0159601 | + | 0.0105242i | ||||
\(493\) | 11.5903 | − | 4.80085i | 0.522000 | − | 0.216220i | ||||
\(494\) | −1.94642 | − | 1.01424i | −0.0875736 | − | 0.0456327i | ||||
\(495\) | 2.81941 | − | 2.52921i | 0.126723 | − | 0.113680i | ||||
\(496\) | 6.36714 | + | 2.32905i | 0.285893 | + | 0.104578i | ||||
\(497\) | 1.27039 | 0.0569849 | ||||||||
\(498\) | 3.49632 | − | 30.3297i | 0.156674 | − | 1.35911i | ||||
\(499\) | −1.22162 | − | 2.94926i | −0.0546874 | − | 0.132027i | 0.894174 | − | 0.447719i | \(-0.147763\pi\) |
−0.948862 | + | 0.315692i | \(0.897763\pi\) | |||||||
\(500\) | 9.37661 | − | 14.6922i | 0.419335 | − | 0.657057i | ||||
\(501\) | −20.0593 | − | 0.543775i | −0.896182 | − | 0.0242941i | ||||
\(502\) | 34.2830 | + | 3.01327i | 1.53013 | + | 0.134489i | ||||
\(503\) | 7.76279 | − | 7.76279i | 0.346126 | − | 0.346126i | −0.512538 | − | 0.858664i | \(-0.671295\pi\) |
0.858664 | + | 0.512538i | \(0.171295\pi\) | |||||||
\(504\) | −8.46112 | + | 0.639943i | −0.376888 | + | 0.0285053i | ||||
\(505\) | −5.84980 | − | 5.84980i | −0.260313 | − | 0.260313i | ||||
\(506\) | 8.28392 | + | 9.88046i | 0.368265 | + | 0.439240i | ||||
\(507\) | 0.402481 | − | 14.8471i | 0.0178748 | − | 0.659382i | ||||
\(508\) | 9.77676 | + | 13.9866i | 0.433773 | + | 0.620554i | ||||
\(509\) | −0.446618 | + | 0.184995i | −0.0197960 | + | 0.00819976i | −0.392559 | − | 0.919727i | \(-0.628410\pi\) |
0.372763 | + | 0.927926i | \(0.378410\pi\) | |||||||
\(510\) | 5.74676 | + | 7.24433i | 0.254471 | + | 0.320784i | ||||
\(511\) | − | 16.9228i | − | 0.748619i | ||||||
\(512\) | 20.8735 | + | 8.73475i | 0.922488 | + | 0.386025i | ||||
\(513\) | −1.74989 | + | 3.41100i | −0.0772595 | + | 0.150599i | ||||
\(514\) | −3.73171 | − | 11.8521i | −0.164599 | − | 0.522774i | ||||
\(515\) | 0.885517 | + | 2.13783i | 0.0390205 | + | 0.0942039i | ||||
\(516\) | 9.91644 | − | 14.6471i | 0.436547 | − | 0.644803i | ||||
\(517\) | −2.38307 | − | 0.987102i | −0.104808 | − | 0.0434127i | ||||
\(518\) | −4.10238 | + | 3.43950i | −0.180248 | + | 0.151123i | ||||
\(519\) | −35.1211 | − | 15.6757i | −1.54165 | − | 0.688089i | ||||
\(520\) | 4.52684 | + | 3.48225i | 0.198515 | + | 0.152707i | ||||
\(521\) | 11.3163 | + | 11.3163i | 0.495777 | + | 0.495777i | 0.910121 | − | 0.414343i | \(-0.135989\pi\) |
−0.414343 | + | 0.910121i | \(0.635989\pi\) | |||||||
\(522\) | −8.12071 | − | 10.8271i | −0.355434 | − | 0.473887i | ||||
\(523\) | −9.06106 | − | 3.75321i | −0.396212 | − | 0.164117i | 0.175676 | − | 0.984448i | \(-0.443789\pi\) |
−0.571888 | + | 0.820332i | \(0.693789\pi\) | |||||||
\(524\) | 17.9112 | + | 11.4310i | 0.782455 | + | 0.499364i | ||||
\(525\) | 5.12872 | − | 4.85799i | 0.223835 | − | 0.212020i | ||||
\(526\) | −19.0498 | − | 9.92646i | −0.830612 | − | 0.432814i | ||||
\(527\) | − | 6.66561i | − | 0.290358i | ||||||
\(528\) | −9.11132 | + | 0.135977i | −0.396520 | + | 0.00591762i | ||||
\(529\) | − | 25.0512i | − | 1.08918i | ||||||
\(530\) | 6.57183 | − | 12.6120i | 0.285462 | − | 0.547829i | ||||
\(531\) | −9.49194 | + | 19.8062i | −0.411915 | + | 0.859517i | ||||
\(532\) | −1.44086 | + | 0.318215i | −0.0624692 | + | 0.0137964i | ||||
\(533\) | 0.237899 | + | 0.0985410i | 0.0103046 | + | 0.00426829i | ||||
\(534\) | 2.33041 | + | 8.16791i | 0.100847 | + | 0.353460i | ||||
\(535\) | 2.32248 | + | 2.32248i | 0.100410 | + | 0.100410i | ||||
\(536\) | 10.8147 | − | 40.1672i | 0.467125 | − | 1.73496i | ||||
\(537\) | −6.59275 | + | 14.7709i | −0.284498 | + | 0.637411i | ||||
\(538\) | −14.7723 | − | 17.6193i | −0.636878 | − | 0.759621i | ||||
\(539\) | 1.21514 | + | 0.503326i | 0.0523396 | + | 0.0216798i | ||||
\(540\) | 6.03198 | − | 7.94553i | 0.259575 | − | 0.341921i | ||||
\(541\) | 16.9071 | + | 40.8174i | 0.726894 | + | 1.75488i | 0.652678 | + | 0.757635i | \(0.273645\pi\) |
0.0742159 | + | 0.997242i | \(0.476355\pi\) | |||||||
\(542\) | −29.6504 | + | 9.33563i | −1.27359 | + | 0.401000i | ||||
\(543\) | 11.2876 | + | 29.4865i | 0.484399 | + | 1.26539i | ||||
\(544\) | 1.01507 | − | 22.2233i | 0.0435207 | − | 0.952817i | ||||
\(545\) | 12.8494i | 0.550406i | ||||||||
\(546\) | 3.20223 | + | 4.03671i | 0.137043 | + | 0.172755i | ||||
\(547\) | 15.7491 | − | 6.52347i | 0.673381 | − | 0.278923i | −0.0196760 | − | 0.999806i | \(-0.506263\pi\) |
0.693057 | + | 0.720883i | \(0.256263\pi\) | |||||||
\(548\) | 5.59030 | + | 0.990358i | 0.238806 | + | 0.0423060i | ||||
\(549\) | −24.8951 | + | 8.76419i | −1.06250 | + | 0.374046i | ||||
\(550\) | 5.81341 | − | 4.87405i | 0.247885 | − | 0.207830i | ||||
\(551\) | −1.66422 | − | 1.66422i | −0.0708981 | − | 0.0708981i | ||||
\(552\) | 26.3457 | + | 21.4274i | 1.12135 | + | 0.912009i | ||||
\(553\) | 0.478069 | − | 0.478069i | 0.0203296 | − | 0.0203296i | ||||
\(554\) | −2.90574 | + | 33.0596i | −0.123453 | + | 1.40457i | ||||
\(555\) | 0.170554 | − | 6.29154i | 0.00723959 | − | 0.267061i | ||||
\(556\) | −13.5957 | + | 3.00261i | −0.576584 | + | 0.127339i | ||||
\(557\) | −4.79936 | − | 11.5867i | −0.203355 | − | 0.490943i | 0.788995 | − | 0.614400i | \(-0.210602\pi\) |
−0.992350 | + | 0.123457i | \(0.960602\pi\) | |||||||
\(558\) | −6.96598 | + | 1.78484i | −0.294893 | + | 0.0755585i | ||||
\(559\) | −10.7410 | −0.454296 | ||||||||
\(560\) | 3.83629 | − | 0.161313i | 0.162113 | − | 0.00681674i | ||||
\(561\) | 3.20288 | + | 8.36684i | 0.135226 | + | 0.353248i | ||||
\(562\) | 8.94062 | − | 17.1579i | 0.377137 | − | 0.723763i | ||||
\(563\) | 14.4187 | − | 5.97240i | 0.607674 | − | 0.251707i | −0.0575597 | − | 0.998342i | \(-0.518332\pi\) |
0.665234 | + | 0.746635i | \(0.268332\pi\) | |||||||
\(564\) | −6.65493 | − | 1.36593i | −0.280223 | − | 0.0575159i | ||||
\(565\) | 0.354942 | − | 0.856905i | 0.0149325 | − | 0.0360503i | ||||
\(566\) | 1.79517 | − | 20.4242i | 0.0754565 | − | 0.858495i | ||||
\(567\) | 7.01515 | − | 5.63805i | 0.294609 | − | 0.236776i | ||||
\(568\) | 3.56304 | − | 0.464710i | 0.149502 | − | 0.0194988i | ||||
\(569\) | 23.7069 | − | 23.7069i | 0.993844 | − | 0.993844i | −0.00613683 | − | 0.999981i | \(-0.501953\pi\) |
0.999981 | + | 0.00613683i | \(0.00195342\pi\) | |||||||
\(570\) | 0.843044 | − | 1.51615i | 0.0353112 | − | 0.0635047i | ||||
\(571\) | −3.54490 | + | 8.55816i | −0.148350 | + | 0.358148i | −0.980533 | − | 0.196352i | \(-0.937090\pi\) |
0.832184 | + | 0.554500i | \(0.187090\pi\) | |||||||
\(572\) | 3.17017 | + | 4.53523i | 0.132551 | + | 0.189627i | ||||
\(573\) | 27.8615 | − | 26.3908i | 1.16393 | − | 1.10249i | ||||
\(574\) | 0.165126 | − | 0.0519911i | 0.00689224 | − | 0.00217007i | ||||
\(575\) | −28.2721 | −1.17903 | ||||||||
\(576\) | −23.4966 | + | 4.88991i | −0.979024 | + | 0.203746i | ||||
\(577\) | 10.9798 | 0.457096 | 0.228548 | − | 0.973533i | \(-0.426602\pi\) | ||||
0.228548 | + | 0.973533i | \(0.426602\pi\) | |||||||
\(578\) | 2.06949 | − | 0.651594i | 0.0860796 | − | 0.0271027i | ||||
\(579\) | 10.5799 | − | 10.0214i | 0.439684 | − | 0.416475i | ||||
\(580\) | 3.50872 | + | 5.01957i | 0.145692 | + | 0.208426i | ||||
\(581\) | −4.76979 | + | 11.5153i | −0.197884 | + | 0.477734i | ||||
\(582\) | 17.1637 | − | 30.8676i | 0.711457 | − | 1.27950i | ||||
\(583\) | 9.74293 | − | 9.74293i | 0.403511 | − | 0.403511i | ||||
\(584\) | −6.19035 | − | 47.4628i | −0.256159 | − | 1.96402i | ||||
\(585\) | −6.04879 | − | 0.328188i | −0.250087 | − | 0.0135689i | ||||
\(586\) | −1.28913 | + | 14.6669i | −0.0532534 | + | 0.605882i | ||||
\(587\) | −8.28183 | + | 19.9941i | −0.341828 | + | 0.825245i | 0.655703 | + | 0.755019i | \(0.272372\pi\) |
−0.997531 | + | 0.0702267i | \(0.977628\pi\) | |||||||
\(588\) | 3.39336 | + | 0.696489i | 0.139940 | + | 0.0287227i | ||||
\(589\) | −1.15532 | + | 0.478548i | −0.0476040 | + | 0.0197182i | ||||
\(590\) | 4.59268 | − | 8.81379i | 0.189077 | − | 0.362858i | ||||
\(591\) | 11.2232 | + | 29.3182i | 0.461661 | + | 1.20599i | ||||
\(592\) | −10.2477 | + | 11.1473i | −0.421177 | + | 0.458152i | ||||
\(593\) | 38.7497 | 1.59126 | 0.795629 | − | 0.605784i | \(-0.207141\pi\) | ||||
0.795629 | + | 0.605784i | \(0.207141\pi\) | |||||||
\(594\) | 7.88624 | − | 5.58760i | 0.323576 | − | 0.229262i | ||||
\(595\) | −1.44465 | − | 3.48768i | −0.0592247 | − | 0.142981i | ||||
\(596\) | −4.34454 | + | 0.959496i | −0.177959 | + | 0.0393025i | ||||
\(597\) | −0.362599 | + | 13.3759i | −0.0148402 | + | 0.547439i | ||||
\(598\) | 1.80553 | − | 20.5422i | 0.0738338 | − | 0.840033i | ||||
\(599\) | 27.1189 | − | 27.1189i | 1.10805 | − | 1.10805i | 0.114639 | − | 0.993407i | \(-0.463429\pi\) |
0.993407 | − | 0.114639i | \(-0.0365712\pi\) | |||||||
\(600\) | 12.6073 | − | 15.5012i | 0.514691 | − | 0.632832i | ||||
\(601\) | 11.9206 | + | 11.9206i | 0.486252 | + | 0.486252i | 0.907121 | − | 0.420870i | \(-0.138275\pi\) |
−0.420870 | + | 0.907121i | \(0.638275\pi\) | |||||||
\(602\) | −5.53362 | + | 4.63947i | −0.225534 | + | 0.189091i | ||||
\(603\) | 14.6512 | + | 41.6173i | 0.596642 | + | 1.69479i | ||||
\(604\) | 8.73293 | + | 1.54709i | 0.355338 | + | 0.0629504i | ||||
\(605\) | 8.22120 | − | 3.40533i | 0.334239 | − | 0.138446i | ||||
\(606\) | −13.1196 | − | 16.5386i | −0.532949 | − | 0.671833i | ||||
\(607\) | 39.3643i | 1.59775i | 0.601498 | + | 0.798874i | \(0.294571\pi\) | ||||
−0.601498 | + | 0.798874i | \(0.705429\pi\) | |||||||
\(608\) | −3.92474 | + | 1.41956i | −0.159169 | + | 0.0575706i | ||||
\(609\) | 1.97532 | + | 5.16010i | 0.0800441 | + | 0.209098i | ||||
\(610\) | 11.3917 | − | 3.58674i | 0.461235 | − | 0.145223i | ||||
\(611\) | 1.57871 | + | 3.81135i | 0.0638679 | + | 0.154191i | ||||
\(612\) | 12.4509 | + | 20.0436i | 0.503299 | + | 0.810213i | ||||
\(613\) | −29.1071 | − | 12.0566i | −1.17563 | − | 0.486960i | −0.292577 | − | 0.956242i | \(-0.594513\pi\) |
−0.883048 | + | 0.469282i | \(0.844513\pi\) | |||||||
\(614\) | −4.67337 | − | 5.57406i | −0.188602 | − | 0.224951i | ||||
\(615\) | −0.0829533 | + | 0.185855i | −0.00334500 | + | 0.00749439i | ||||
\(616\) | 3.59217 | + | 0.967167i | 0.144733 | + | 0.0389683i | ||||
\(617\) | 18.1496 | + | 18.1496i | 0.730676 | + | 0.730676i | 0.970754 | − | 0.240078i | \(-0.0771729\pi\) |
−0.240078 | + | 0.970754i | \(0.577173\pi\) | |||||||
\(618\) | 1.62004 | + | 5.67811i | 0.0651676 | + | 0.228407i | ||||
\(619\) | 32.1141 | + | 13.3021i | 1.29078 | + | 0.534657i | 0.919217 | − | 0.393752i | \(-0.128823\pi\) |
0.371560 | + | 0.928409i | \(0.378823\pi\) | |||||||
\(620\) | 3.17744 | − | 0.701740i | 0.127609 | − | 0.0281826i | ||||
\(621\) | −35.9002 | − | 2.92533i | −1.44063 | − | 0.117389i | ||||
\(622\) | −16.8039 | + | 32.2483i | −0.673775 | + | 1.29304i | ||||
\(623\) | − | 3.46760i | − | 0.138927i | ||||||
\(624\) | 10.4578 | + | 10.1503i | 0.418648 | + | 0.406336i | ||||
\(625\) | 12.0274i | 0.481095i | ||||||||
\(626\) | 33.5075 | + | 17.4600i | 1.33923 | + | 0.697843i | ||||
\(627\) | 1.22024 | − | 1.15583i | 0.0487316 | − | 0.0461593i | ||||
\(628\) | −0.656299 | − | 0.418851i | −0.0261892 | − | 0.0167140i | ||||
\(629\) | 13.7538 | + | 5.69701i | 0.548400 | + | 0.227155i | ||||
\(630\) | −3.25802 | + | 2.44364i | −0.129802 | + | 0.0973569i | ||||
\(631\) | 1.69754 | + | 1.69754i | 0.0675779 | + | 0.0675779i | 0.740088 | − | 0.672510i | \(-0.234784\pi\) |
−0.672510 | + | 0.740088i | \(0.734784\pi\) | |||||||
\(632\) | 1.16595 | − | 1.51570i | 0.0463790 | − | 0.0602915i | ||||
\(633\) | −31.3448 | − | 13.9902i | −1.24584 | − | 0.556062i | ||||
\(634\) | −31.3645 | + | 26.2964i | −1.24564 | + | 1.04436i | ||||
\(635\) | 7.56699 | + | 3.13435i | 0.300287 | + | 0.124383i | ||||
\(636\) | 20.3450 | − | 30.0506i | 0.806730 | − | 1.19158i | ||||
\(637\) | −0.804990 | − | 1.94342i | −0.0318949 | − | 0.0770010i | ||||
\(638\) | 1.78198 | + | 5.65967i | 0.0705495 | + | 0.224068i | ||||
\(639\) | −2.83696 | + | 2.54495i | −0.112228 | + | 0.100677i | ||||
\(640\) | 10.7005 | − | 1.85575i | 0.422976 | − | 0.0733549i | ||||
\(641\) | 11.8928i | 0.469738i | 0.972027 | + | 0.234869i | \(0.0754661\pi\) | ||||
−0.972027 | + | 0.234869i | \(0.924534\pi\) | |||||||
\(642\) | 5.20875 | + | 6.56613i | 0.205573 | + | 0.259144i | ||||
\(643\) | 8.69799 | − | 3.60282i | 0.343015 | − | 0.142081i | −0.204524 | − | 0.978862i | \(-0.565565\pi\) |
0.547539 | + | 0.836780i | \(0.315565\pi\) | |||||||
\(644\) | −7.94281 | − | 11.3630i | −0.312991 | − | 0.447763i | ||||
\(645\) | 0.230056 | − | 8.48653i | 0.00905846 | − | 0.334157i | ||||
\(646\) | 2.63629 | + | 3.14438i | 0.103724 | + | 0.123714i | ||||
\(647\) | −4.94634 | − | 4.94634i | −0.194461 | − | 0.194461i | 0.603160 | − | 0.797620i | \(-0.293908\pi\) |
−0.797620 | + | 0.603160i | \(0.793908\pi\) | |||||||
\(648\) | 17.6128 | − | 18.3790i | 0.691896 | − | 0.721997i | ||||
\(649\) | 6.80878 | − | 6.80878i | 0.267268 | − | 0.267268i | ||||
\(650\) | −12.0865 | − | 1.06233i | −0.474072 | − | 0.0416680i | ||||
\(651\) | 2.93464 | + | 0.0795533i | 0.115017 | + | 0.00311794i | ||||
\(652\) | −7.25796 | + | 11.3725i | −0.284244 | + | 0.445382i | ||||
\(653\) | 18.3503 | + | 44.3016i | 0.718104 | + | 1.73366i | 0.678680 | + | 0.734434i | \(0.262552\pi\) |
0.0394239 | + | 0.999223i | \(0.487448\pi\) | |||||||
\(654\) | −3.75490 | + | 32.5728i | −0.146828 | + | 1.27370i | ||||
\(655\) | 10.1982 | 0.398477 | ||||||||
\(656\) | 0.444107 | − | 0.206221i | 0.0173395 | − | 0.00805159i | ||||
\(657\) | 33.9010 | + | 37.7908i | 1.32260 | + | 1.47436i | ||||
\(658\) | 2.45961 | + | 1.28165i | 0.0958855 | + | 0.0499639i | ||||
\(659\) | −29.1523 | + | 12.0753i | −1.13561 | + | 0.470386i | −0.869685 | − | 0.493608i | \(-0.835678\pi\) |
−0.265927 | + | 0.963993i | \(0.585678\pi\) | |||||||
\(660\) | −3.65121 | + | 2.40763i | −0.142123 | + | 0.0937169i | ||||
\(661\) | −4.45284 | + | 10.7501i | −0.173195 | + | 0.418131i | −0.986512 | − | 0.163691i | \(-0.947660\pi\) |
0.813316 | + | 0.581822i | \(0.197660\pi\) | |||||||
\(662\) | −3.44178 | − | 0.302512i | −0.133769 | − | 0.0117575i | ||||
\(663\) | 5.83995 | − | 13.0843i | 0.226805 | − | 0.508151i | ||||
\(664\) | −9.16540 | + | 34.0414i | −0.355686 | + | 1.32106i | ||||
\(665\) | −0.500787 | + | 0.500787i | −0.0194197 | + | 0.0194197i | ||||
\(666\) | 2.27089 | − | 15.8991i | 0.0879952 | − | 0.616076i | ||||
\(667\) | 8.46222 | − | 20.4296i | 0.327658 | − | 0.791037i | ||||
\(668\) | 22.8157 | + | 4.04195i | 0.882765 | + | 0.156388i | ||||
\(669\) | 31.5703 | + | 33.3297i | 1.22058 | + | 1.28860i | ||||
\(670\) | −5.99599 | − | 19.0435i | −0.231645 | − | 0.735717i | ||||
\(671\) | 11.5710 | 0.446695 | ||||||||
\(672\) | 9.77205 | + | 0.712132i | 0.376965 | + | 0.0274711i | ||||
\(673\) | −36.3995 | −1.40310 | −0.701549 | − | 0.712621i | \(-0.747508\pi\) | ||||
−0.701549 | + | 0.712621i | \(0.747508\pi\) | |||||||
\(674\) | −7.91932 | − | 25.1521i | −0.305041 | − | 0.968824i | ||||
\(675\) | −1.72119 | + | 21.1228i | −0.0662486 | + | 0.813016i | ||||
\(676\) | −2.99169 | + | 16.8873i | −0.115065 | + | 0.649511i | ||||
\(677\) | 1.83397 | − | 4.42759i | 0.0704850 | − | 0.170166i | −0.884711 | − | 0.466140i | \(-0.845644\pi\) |
0.955196 | + | 0.295974i | \(0.0956442\pi\) | |||||||
\(678\) | 1.15018 | − | 2.06851i | 0.0441723 | − | 0.0794407i | ||||
\(679\) | −10.1956 | + | 10.1956i | −0.391271 | + | 0.391271i | ||||
\(680\) | −5.32755 | − | 9.25336i | −0.204302 | − | 0.354850i | ||||
\(681\) | 18.5221 | + | 8.26702i | 0.709767 | + | 0.316793i | ||||
\(682\) | 3.14056 | + | 0.276036i | 0.120258 | + | 0.0105700i | ||||
\(683\) | 17.8974 | − | 43.2081i | 0.684824 | − | 1.65331i | −0.0701335 | − | 0.997538i | \(-0.522343\pi\) |
0.754958 | − | 0.655774i | \(-0.227657\pi\) | |||||||
\(684\) | 2.58016 | − | 3.59706i | 0.0986547 | − | 0.137537i | ||||
\(685\) | 2.51748 | − | 1.04277i | 0.0961880 | − | 0.0398424i | ||||
\(686\) | −1.25416 | − | 0.653516i | −0.0478841 | − | 0.0249513i | ||||
\(687\) | −14.8974 | + | 5.70282i | −0.568371 | + | 0.217576i | ||||
\(688\) | −13.8229 | + | 15.0364i | −0.526992 | + | 0.573257i | ||||
\(689\) | −22.0367 | −0.839531 | ||||||||
\(690\) | 16.1918 | + | 1.86655i | 0.616413 | + | 0.0710582i | ||||
\(691\) | −0.444253 | − | 1.07252i | −0.0169002 | − | 0.0408006i | 0.915204 | − | 0.402990i | \(-0.132029\pi\) |
−0.932104 | + | 0.362190i | \(0.882029\pi\) | |||||||
\(692\) | 37.4363 | + | 23.8919i | 1.42311 | + | 0.908233i | ||||
\(693\) | −3.72186 | + | 1.31026i | −0.141382 | + | 0.0497727i | ||||
\(694\) | 38.2635 | + | 3.36313i | 1.45246 | + | 0.127663i | ||||
\(695\) | −4.72532 | + | 4.72532i | −0.179242 | + | 0.179242i | ||||
\(696\) | 7.42770 | + | 13.7498i | 0.281546 | + | 0.521186i | ||||
\(697\) | −0.340407 | − | 0.340407i | −0.0128938 | − | 0.0128938i | ||||
\(698\) | 29.6923 | + | 35.4148i | 1.12387 | + | 1.34047i | ||||
\(699\) | −34.6269 | − | 0.938680i | −1.30971 | − | 0.0355041i | ||||
\(700\) | −6.68567 | + | 4.67335i | −0.252695 | + | 0.176636i | ||||
\(701\) | −12.2317 | + | 5.06654i | −0.461986 | + | 0.191361i | −0.601522 | − | 0.798856i | \(-0.705439\pi\) |
0.139536 | + | 0.990217i | \(0.455439\pi\) | |||||||
\(702\) | −15.2376 | − | 2.59955i | −0.575108 | − | 0.0981138i | ||||
\(703\) | − | 2.79289i | − | 0.105336i | ||||||
\(704\) | 10.4287 | + | 1.39857i | 0.393045 | + | 0.0527105i | ||||
\(705\) | −3.04519 | + | 1.16572i | −0.114688 | + | 0.0439035i | ||||
\(706\) | 5.74247 | + | 18.2384i | 0.216121 | + | 0.686410i | ||||
\(707\) | 3.29807 | + | 7.96226i | 0.124037 | + | 0.299451i | ||||
\(708\) | 14.2179 | − | 21.0007i | 0.534343 | − | 0.789253i | ||||
\(709\) | −25.8835 | − | 10.7213i | −0.972076 | − | 0.402647i | −0.160592 | − | 0.987021i | \(-0.551340\pi\) |
−0.811485 | + | 0.584374i | \(0.801340\pi\) | |||||||
\(710\) | 1.32157 | − | 1.10802i | 0.0495975 | − | 0.0415832i | ||||
\(711\) | −0.109886 | + | 2.02530i | −0.00412104 | + | 0.0759545i | ||||
\(712\) | −1.26845 | − | 9.72549i | −0.0475372 | − | 0.364478i | ||||
\(713\) | −8.30788 | − | 8.30788i | −0.311133 | − | 0.311133i | ||||
\(714\) | −2.64296 | − | 9.26335i | −0.0989101 | − | 0.346672i | ||||
\(715\) | 2.45364 | + | 1.01633i | 0.0917609 | + | 0.0380086i | ||||
\(716\) | 10.0482 | − | 15.7446i | 0.375519 | − | 0.588402i | ||||
\(717\) | −4.93105 | − | 5.20585i | −0.184154 | − | 0.194416i | ||||
\(718\) | 33.4337 | + | 17.4216i | 1.24773 | + | 0.650168i | ||||
\(719\) | − | 25.8040i | − | 0.962326i | −0.876631 | − | 0.481163i | \(-0.840215\pi\) | ||
0.876631 | − | 0.481163i | \(-0.159785\pi\) | |||||||
\(720\) | −8.24378 | + | 8.04539i | −0.307228 | + | 0.299834i | ||||
\(721\) | − | 2.41058i | − | 0.0897748i | ||||||
\(722\) | −12.0611 | + | 23.1464i | −0.448866 | + | 0.861418i | ||||
\(723\) | −27.9600 | − | 29.5181i | −1.03984 | − | 1.09779i | ||||
\(724\) | −7.86223 | − | 35.5997i | −0.292198 | − | 1.32305i | ||||
\(725\) | −12.0203 | − | 4.97895i | −0.446421 | − | 0.184914i | ||||
\(726\) | 21.8357 | − | 6.23000i | 0.810398 | − | 0.231217i | ||||
\(727\) | −29.0279 | − | 29.0279i | −1.07658 | − | 1.07658i | −0.996813 | − | 0.0797710i | \(-0.974581\pi\) |
−0.0797710 | − | 0.996813i | \(-0.525419\pi\) | |||||||
\(728\) | −2.96864 | − | 5.15619i | −0.110025 | − | 0.191101i | ||||
\(729\) | −4.37116 | + | 26.6438i | −0.161895 | + | 0.986808i | ||||
\(730\) | −14.7598 | − | 17.6044i | −0.546285 | − | 0.651569i | ||||
\(731\) | 18.5522 | + | 7.68458i | 0.686179 | + | 0.284224i | ||||
\(732\) | 29.9258 | − | 5.76339i | 1.10609 | − | 0.213021i | ||||
\(733\) | 7.41080 | + | 17.8913i | 0.273724 | + | 0.660829i | 0.999637 | − | 0.0269585i | \(-0.00858220\pi\) |
−0.725912 | + | 0.687787i | \(0.758582\pi\) | |||||||
\(734\) | 16.6292 | − | 5.23581i | 0.613795 | − | 0.193257i | ||||
\(735\) | 1.55275 | − | 0.594402i | 0.0572740 | − | 0.0219249i | ||||
\(736\) | −26.4336 | − | 28.9639i | −0.974354 | − | 1.06762i | ||||
\(737\) | − | 19.3434i | − | 0.712523i | ||||||
\(738\) | −0.264596 | + | 0.446897i | −0.00973991 | + | 0.0164505i | ||||
\(739\) | 0.937525 | − | 0.388336i | 0.0344874 | − | 0.0142852i | −0.365373 | − | 0.930861i | \(-0.619059\pi\) |
0.399860 | + | 0.916576i | \(0.369059\pi\) | |||||||
\(740\) | −1.26775 | + | 7.15608i | −0.0466033 | + | 0.263063i | ||||
\(741\) | −2.68711 | − | 0.0728432i | −0.0987133 | − | 0.00267596i | ||||
\(742\) | −11.3530 | + | 9.51852i | −0.416782 | + | 0.349436i | ||||
\(743\) | −34.8095 | − | 34.8095i | −1.27704 | − | 1.27704i | −0.942319 | − | 0.334717i | \(-0.891359\pi\) |
−0.334717 | − | 0.942319i | \(-0.608641\pi\) | |||||||
\(744\) | 8.25980 | − | 0.850370i | 0.302819 | − | 0.0311761i | ||||
\(745\) | −1.50999 | + | 1.50999i | −0.0553219 | + | 0.0553219i | ||||
\(746\) | 0.297924 | − | 3.38959i | 0.0109078 | − | 0.124102i | ||||
\(747\) | −12.4168 | − | 35.2703i | −0.454305 | − | 1.29047i | ||||
\(748\) | −2.23092 | − | 10.1015i | −0.0815705 | − | 0.369346i | ||||
\(749\) | −1.30940 | − | 3.16117i | −0.0478444 | − | 0.115507i | ||||
\(750\) | 2.44457 | − | 21.2061i | 0.0892633 | − | 0.774337i | ||||
\(751\) | −17.2476 | −0.629372 | −0.314686 | − | 0.949196i | \(-0.601899\pi\) | ||||
−0.314686 | + | 0.949196i | \(0.601899\pi\) | |||||||
\(752\) | 7.36723 | + | 2.69488i | 0.268655 | + | 0.0982722i | ||||
\(753\) | 39.3642 | − | 15.0689i | 1.43451 | − | 0.549140i | ||||
\(754\) | 4.38530 | − | 8.41581i | 0.159703 | − | 0.306486i | ||||
\(755\) | 3.93270 | − | 1.62898i | 0.143126 | − | 0.0592846i | ||||
\(756\) | −8.97308 | + | 5.24249i | −0.326348 | + | 0.190668i | ||||
\(757\) | −1.32261 | + | 3.19307i | −0.0480712 | + | 0.116054i | −0.946091 | − | 0.323901i | \(-0.895006\pi\) |
0.898020 | + | 0.439955i | \(0.145006\pi\) | |||||||
\(758\) | 2.63651 | − | 29.9965i | 0.0957623 | − | 1.08952i | ||||
\(759\) | 14.4203 | + | 6.43626i | 0.523423 | + | 0.233621i | ||||
\(760\) | −1.22136 | + | 1.58773i | −0.0443032 | + | 0.0575931i | ||||
\(761\) | −11.6933 | + | 11.6933i | −0.423881 | + | 0.423881i | −0.886538 | − | 0.462657i | \(-0.846896\pi\) |
0.462657 | + | 0.886538i | \(0.346896\pi\) | |||||||
\(762\) | 18.2662 | + | 10.1568i | 0.661715 | + | 0.367941i | ||||
\(763\) | 5.12255 | − | 12.3669i | 0.185449 | − | 0.447713i | ||||
\(764\) | −36.3196 | + | 25.3877i | −1.31400 | + | 0.918496i | ||||
\(765\) | 10.2129 | + | 4.89443i | 0.369247 | + | 0.176958i | ||||
\(766\) | −1.28024 | + | 0.403093i | −0.0462570 | + | 0.0145643i | ||||
\(767\) | −15.4002 | −0.556068 | ||||||||
\(768\) | 27.6679 | − | 1.57732i | 0.998379 | − | 0.0569166i | ||||
\(769\) | −26.6376 | −0.960577 | −0.480289 | − | 0.877111i | \(-0.659468\pi\) | ||||
−0.480289 | + | 0.877111i | \(0.659468\pi\) | |||||||
\(770\) | 1.70308 | − | 0.536225i | 0.0613746 | − | 0.0193242i | ||||
\(771\) | −10.4654 | − | 11.0486i | −0.376903 | − | 0.397907i | ||||
\(772\) | −13.7917 | + | 9.64050i | −0.496373 | + | 0.346969i | ||||
\(773\) | 4.35134 | − | 10.5051i | 0.156507 | − | 0.377841i | −0.826104 | − | 0.563518i | \(-0.809448\pi\) |
0.982611 | + | 0.185677i | \(0.0594477\pi\) | |||||||
\(774\) | 3.06316 | − | 21.4459i | 0.110103 | − | 0.770858i | ||||
\(775\) | −4.88815 | + | 4.88815i | −0.175587 | + | 0.175587i | ||||
\(776\) | −24.8658 | + | 32.3249i | −0.892629 | + | 1.16040i | ||||
\(777\) | −2.67235 | + | 5.98733i | −0.0958699 | + | 0.214794i | ||||
\(778\) | 0.953344 | − | 10.8465i | 0.0341790 | − | 0.388867i | ||||
\(779\) | −0.0345620 | + | 0.0834401i | −0.00123831 | + | 0.00298955i | ||||
\(780\) | 6.85198 | + | 1.40637i | 0.245340 | + | 0.0503562i | ||||
\(781\) | 1.54370 | − | 0.639421i | 0.0552379 | − | 0.0228803i | ||||
\(782\) | −17.8154 | + | 34.1894i | −0.637076 | + | 1.22261i | ||||
\(783\) | −14.7483 | − | 7.56607i | −0.527060 | − | 0.270389i | ||||
\(784\) | −3.75656 | − | 1.37413i | −0.134163 | − | 0.0490759i | ||||
\(785\) | −0.373680 | −0.0133372 | ||||||||
\(786\) | 25.8522 | + | 2.98016i | 0.922117 | + | 0.106299i | ||||
\(787\) | 8.54540 | + | 20.6304i | 0.304611 | + | 0.735395i | 0.999862 | + | 0.0166284i | \(0.00529322\pi\) |
−0.695251 | + | 0.718767i | \(0.744707\pi\) | |||||||
\(788\) | −7.81736 | − | 35.3965i | −0.278482 | − | 1.26095i | ||||
\(789\) | −26.2990 | − | 0.712924i | −0.936270 | − | 0.0253808i | ||||
\(790\) | 0.0803606 | − | 0.914291i | 0.00285910 | − | 0.0325290i | ||||
\(791\) | −0.683231 | + | 0.683231i | −0.0242929 | + | 0.0242929i | ||||
\(792\) | −9.95930 | + | 5.03631i | −0.353888 | + | 0.178958i | ||||
\(793\) | −13.0858 | − | 13.0858i | −0.464689 | − | 0.464689i | ||||
\(794\) | −5.07007 | + | 4.25082i | −0.179930 | + | 0.150856i | ||||
\(795\) | 0.471993 | − | 17.4113i | 0.0167399 | − | 0.617516i | ||||
\(796\) | 2.69525 | − | 15.2139i | 0.0955305 | − | 0.539244i | ||||
\(797\) | 12.7091 | − | 5.26427i | 0.450179 | − | 0.186470i | −0.146063 | − | 0.989275i | \(-0.546660\pi\) |
0.596241 | + | 0.802805i | \(0.296660\pi\) | |||||||
\(798\) | −1.41583 | + | 1.12314i | −0.0501197 | + | 0.0397588i | ||||
\(799\) | − | 7.71258i | − | 0.272851i | ||||||
\(800\) | −17.0416 | + | 15.5528i | −0.602512 | + | 0.549876i | ||||
\(801\) | 6.94657 | + | 7.74361i | 0.245445 | + | 0.273607i | ||||
\(802\) | −49.1611 | + | 15.4787i | −1.73594 | + | 0.546571i | ||||
\(803\) | −8.51766 | − | 20.5634i | −0.300582 | − | 0.725668i | ||||
\(804\) | −9.63470 | − | 50.0271i | −0.339790 | − | 1.76432i | ||||
\(805\) | −6.14756 | − | 2.54640i | −0.216673 | − | 0.0897489i | ||||
\(806\) | −3.23950 | − | 3.86384i | −0.114107 | − | 0.136098i | ||||
\(807\) | −25.7149 | − | 11.4774i | −0.905208 | − | 0.404025i | ||||
\(808\) | 12.1626 | + | 21.1251i | 0.427879 | + | 0.743178i | ||||
\(809\) | 21.0096 | + | 21.0096i | 0.738658 | + | 0.738658i | 0.972318 | − | 0.233660i | \(-0.0750703\pi\) |
−0.233660 | + | 0.972318i | \(0.575070\pi\) | |||||||
\(810\) | 2.38029 | − | 11.9837i | 0.0836349 | − | 0.421064i | ||||
\(811\) | 33.3075 | + | 13.7964i | 1.16958 | + | 0.484457i | 0.881055 | − | 0.473014i | \(-0.156834\pi\) |
0.288529 | + | 0.957471i | \(0.406834\pi\) | |||||||
\(812\) | −1.37588 | − | 6.22990i | −0.0482839 | − | 0.218627i | ||||
\(813\) | −27.6403 | + | 26.1813i | −0.969389 | + | 0.918219i | ||||
\(814\) | −3.25376 | + | 6.24429i | −0.114044 | + | 0.218862i | ||||
\(815\) | 6.47523i | 0.226818i | ||||||||
\(816\) | −10.8012 | − | 25.0139i | −0.378116 | − | 0.875661i | ||||
\(817\) | − | 3.76727i | − | 0.131800i | ||||||
\(818\) | −19.0952 | − | 9.95009i | −0.667647 | − | 0.347897i | ||||
\(819\) | 5.69085 | + | 2.72729i | 0.198855 | + | 0.0952992i | ||||
\(820\) | 0.126432 | − | 0.198106i | 0.00441519 | − | 0.00691817i | ||||
\(821\) | 5.04434 | + | 2.08944i | 0.176049 | + | 0.0729218i | 0.468967 | − | 0.883216i | \(-0.344626\pi\) |
−0.292918 | + | 0.956138i | \(0.594626\pi\) | |||||||
\(822\) | 6.68648 | − | 1.90774i | 0.233218 | − | 0.0665400i | ||||
\(823\) | 29.9176 | + | 29.9176i | 1.04286 | + | 1.04286i | 0.999039 | + | 0.0438240i | \(0.0139541\pi\) |
0.0438240 | + | 0.999039i | \(0.486046\pi\) | |||||||
\(824\) | −0.881792 | − | 6.76090i | −0.0307187 | − | 0.235527i | ||||
\(825\) | 3.78693 | − | 8.48453i | 0.131844 | − | 0.295393i | ||||
\(826\) | −7.93397 | + | 6.65195i | −0.276058 | + | 0.231451i | ||||
\(827\) | −20.0019 | − | 8.28507i | −0.695535 | − | 0.288100i | 0.00676894 | − | 0.999977i | \(-0.497845\pi\) |
−0.702304 | + | 0.711877i | \(0.747845\pi\) | |||||||
\(828\) | 40.5005 | + | 9.46331i | 1.40749 | + | 0.328873i | ||||
\(829\) | −9.39784 | − | 22.6884i | −0.326400 | − | 0.788000i | −0.998854 | − | 0.0478609i | \(-0.984760\pi\) |
0.672454 | − | 0.740139i | \(-0.265240\pi\) | |||||||
\(830\) | 5.08156 | + | 16.1393i | 0.176383 | + | 0.560202i | ||||
\(831\) | 14.5311 | + | 37.9595i | 0.504080 | + | 1.31680i | ||||
\(832\) | −10.2122 | − | 13.3755i | −0.354044 | − | 0.463712i | ||||
\(833\) | 3.93266i | 0.136259i | ||||||||
\(834\) | −13.3594 | + | 10.5977i | −0.462599 | + | 0.366969i | ||||
\(835\) | 10.2746 | − | 4.25587i | 0.355567 | − | 0.147280i | ||||
\(836\) | −1.59067 | + | 1.11190i | −0.0550146 | + | 0.0384557i | ||||
\(837\) | −6.71280 | + | 5.70124i | −0.232028 | + | 0.197064i | ||||
\(838\) | 24.3080 | + | 28.9928i | 0.839706 | + | 1.00154i | ||||
\(839\) | −23.6596 | − | 23.6596i | −0.816819 | − | 0.816819i | 0.168826 | − | 0.985646i | \(-0.446002\pi\) |
−0.985646 | + | 0.168826i | \(0.946002\pi\) | |||||||
\(840\) | 4.13752 | − | 2.23510i | 0.142758 | − | 0.0771183i | ||||
\(841\) | −13.3105 | + | 13.3105i | −0.458981 | + | 0.458981i | ||||
\(842\) | −38.9523 | − | 3.42367i | −1.34239 | − | 0.117988i | ||||
\(843\) | 0.642121 | − | 23.6872i | 0.0221158 | − | 0.815829i | ||||
\(844\) | 33.4110 | + | 21.3230i | 1.15005 | + | 0.733966i | ||||
\(845\) | 3.15003 | + | 7.60485i | 0.108364 | + | 0.261615i | ||||
\(846\) | −8.06013 | + | 2.06519i | −0.277113 | + | 0.0710027i | ||||
\(847\) | −9.27011 | −0.318525 | ||||||||
\(848\) | −28.3596 | + | 30.8493i | −0.973872 | + | 1.05937i | ||||
\(849\) | −8.97734 | − | 23.4514i | −0.308101 | − | 0.804849i | ||||
\(850\) | 20.1162 | + | 10.4821i | 0.689980 | + | 0.359533i | ||||
\(851\) | 24.2431 | − | 10.0418i | 0.831043 | − | 0.344229i | ||||
\(852\) | 3.67393 | − | 2.42261i | 0.125867 | − | 0.0829973i | ||||
\(853\) | 11.7563 | − | 28.3823i | 0.402529 | − | 0.971791i | −0.584521 | − | 0.811379i | \(-0.698718\pi\) |
0.987050 | − | 0.160413i | \(-0.0512825\pi\) | |||||||
\(854\) | −12.3939 | − | 1.08935i | −0.424109 | − | 0.0372766i | ||||
\(855\) | 0.115108 | − | 2.12154i | 0.00393660 | − | 0.0725551i | ||||
\(856\) | −4.82880 | − | 8.38707i | −0.165045 | − | 0.286664i | ||||
\(857\) | −29.7025 | + | 29.7025i | −1.01462 | + | 1.01462i | −0.0147266 | + | 0.999892i | \(0.504688\pi\) |
−0.999892 | + | 0.0147266i | \(0.995312\pi\) | |||||||
\(858\) | 5.92292 | + | 3.29339i | 0.202205 | + | 0.112434i | ||||
\(859\) | 14.5723 | − | 35.1806i | 0.497199 | − | 1.20035i | −0.453786 | − | 0.891111i | \(-0.649927\pi\) |
0.950986 | − | 0.309235i | \(-0.100073\pi\) | |||||||
\(860\) | −1.71004 | + | 9.65270i | −0.0583118 | + | 0.329154i | ||||
\(861\) | 0.153932 | − | 0.145807i | 0.00524599 | − | 0.00496908i | ||||
\(862\) | −5.28295 | − | 16.7789i | −0.179938 | − | 0.571491i | ||||
\(863\) | −46.3071 | −1.57631 | −0.788156 | − | 0.615475i | \(-0.788964\pi\) | ||||
−0.788156 | + | 0.615475i | \(0.788964\pi\) | |||||||
\(864\) | −23.2489 | + | 17.9858i | −0.790942 | + | 0.611891i | ||||
\(865\) | 21.3153 | 0.724741 | ||||||||
\(866\) | −6.68163 | − | 21.2212i | −0.227051 | − | 0.721125i | ||||
\(867\) | 1.92920 | − | 1.82736i | 0.0655190 | − | 0.0620605i | ||||
\(868\) | −3.33790 | − | 0.591330i | −0.113296 | − | 0.0200710i | ||||
\(869\) | 0.340294 | − | 0.821542i | 0.0115437 | − | 0.0278689i | ||||
\(870\) | 6.55546 | + | 3.64510i | 0.222251 | + | 0.123581i | ||||
\(871\) | −21.8756 | + | 21.8756i | −0.741225 | + | 0.741225i | ||||
\(872\) | 9.84325 | − | 36.5590i | 0.333335 | − | 1.23804i | ||||
\(873\) | 2.34349 | − | 43.1927i | 0.0793152 | − | 1.46185i | ||||
\(874\) | 7.20492 | + | 0.633268i | 0.243710 | + | 0.0214206i | ||||
\(875\) | −3.33497 | + | 8.05132i | −0.112742 | + | 0.272184i | ||||
\(876\) | −32.2713 | − | 48.9400i | −1.09035 | − | 1.65353i | ||||
\(877\) | 13.4821 | − | 5.58446i | 0.455257 | − | 0.188574i | −0.143258 | − | 0.989685i | \(-0.545758\pi\) |
0.598515 | + | 0.801112i | \(0.295758\pi\) | |||||||
\(878\) | 21.8747 | + | 11.3984i | 0.738235 | + | 0.384678i | ||||
\(879\) | 6.44672 | + | 16.8407i | 0.217442 | + | 0.568021i | ||||
\(880\) | 4.58042 | − | 2.12692i | 0.154406 | − | 0.0716985i | ||||
\(881\) | −11.5510 | −0.389162 | −0.194581 | − | 0.980886i | \(-0.562335\pi\) | ||||
−0.194581 | + | 0.980886i | \(0.562335\pi\) | |||||||
\(882\) | 4.10988 | − | 1.05305i | 0.138387 | − | 0.0354579i | ||||
\(883\) | −9.21323 | − | 22.2427i | −0.310050 | − | 0.748526i | −0.999703 | − | 0.0243862i | \(-0.992237\pi\) |
0.689653 | − | 0.724140i | \(-0.257763\pi\) | |||||||
\(884\) | −8.90086 | + | 13.9468i | −0.299368 | + | 0.469081i | ||||
\(885\) | 0.329849 | − | 12.1678i | 0.0110877 | − | 0.409015i | ||||
\(886\) | 42.7088 | + | 3.75384i | 1.43483 | + | 0.126113i | ||||
\(887\) | −30.3315 | + | 30.3315i | −1.01843 | + | 1.01843i | −0.0186052 | + | 0.999827i | \(0.505923\pi\) |
−0.999827 | + | 0.0186052i | \(0.994077\pi\) | |||||||
\(888\) | −5.30489 | + | 17.7700i | −0.178020 | + | 0.596323i | ||||
\(889\) | −6.03334 | − | 6.03334i | −0.202352 | − | 0.202352i | ||||
\(890\) | −3.02439 | − | 3.60728i | −0.101378 | − | 0.120916i | ||||
\(891\) | 5.68658 | − | 10.3819i | 0.190508 | − | 0.347807i | ||||
\(892\) | −30.3704 | − | 43.4478i | −1.01688 | − | 1.45474i | ||||
\(893\) | −1.33678 | + | 0.553714i | −0.0447338 | + | 0.0185293i | ||||
\(894\) | −4.26905 | + | 3.38654i | −0.142779 | + | 0.113263i | ||||
\(895\) | − | 8.96457i | − | 0.299653i | ||||||
\(896\) | −11.0386 | − | 2.47982i | −0.368773 | − | 0.0828450i | ||||
\(897\) | −9.02918 | − | 23.5868i | −0.301476 | − | 0.787540i | ||||
\(898\) | 9.15099 | + | 29.0640i | 0.305372 | + | 0.969878i | ||||
\(899\) | −2.06912 | − | 4.99529i | −0.0690089 | − | 0.166602i | ||||
\(900\) | 5.56797 | − | 23.8295i | 0.185599 | − | 0.794315i | ||||
\(901\) | 38.0625 | + | 15.7660i | 1.26805 | + | 0.525242i | ||||
\(902\) | 0.174482 | − | 0.146288i | 0.00580963 | − | 0.00487087i | ||||
\(903\) | −3.60467 | + | 8.07619i | −0.119956 | + | 0.268759i | ||||
\(904\) | −1.66631 | + | 2.16616i | −0.0554207 | + | 0.0720456i | ||||
\(905\) | −12.3731 | − | 12.3731i | −0.411295 | − | 0.411295i | ||||
\(906\) | 10.4453 | − | 2.98019i | 0.347023 | − | 0.0990101i | ||||
\(907\) | −27.5210 | − | 11.3996i | −0.913821 | − | 0.378517i | −0.124303 | − | 0.992244i | \(-0.539669\pi\) |
−0.789518 | + | 0.613727i | \(0.789669\pi\) | |||||||
\(908\) | −19.7430 | − | 12.6000i | −0.655195 | − | 0.418146i | ||||
\(909\) | −23.3156 | − | 11.1738i | −0.773331 | − | 0.370612i | ||||
\(910\) | −2.53244 | − | 1.31960i | −0.0839495 | − | 0.0437443i | ||||
\(911\) | 41.5508i | 1.37664i | 0.725407 | + | 0.688320i | \(0.241652\pi\) | ||||
−0.725407 | + | 0.688320i | \(0.758348\pi\) | |||||||
\(912\) | −3.56008 | + | 3.66795i | −0.117886 | + | 0.121458i | ||||
\(913\) | 16.3934i | 0.542542i | ||||||||
\(914\) | 14.4692 | − | 27.7677i | 0.478597 | − | 0.918475i | ||||
\(915\) | 10.6194 | − | 10.0589i | 0.351067 | − | 0.332535i | ||||
\(916\) | 17.9859 | − | 3.97221i | 0.594272 | − | 0.131246i | ||||
\(917\) | −9.81531 | − | 4.06563i | −0.324130 | − | 0.134259i | ||||
\(918\) | 24.4591 | + | 15.3917i | 0.807272 | + | 0.508002i | ||||
\(919\) | −12.1662 | − | 12.1662i | −0.401326 | − | 0.401326i | 0.477374 | − | 0.878700i | \(-0.341589\pi\) |
−0.878700 | + | 0.477374i | \(0.841589\pi\) | |||||||
\(920\) | −18.1734 | − | 4.89305i | −0.599158 | − | 0.161319i | ||||
\(921\) | −8.13521 | − | 3.63102i | −0.268064 | − | 0.119646i | ||||
\(922\) | −25.8396 | − | 30.8196i | −0.850981 | − | 1.01499i | ||||
\(923\) | −2.46891 | − | 1.02265i | −0.0812650 | − | 0.0336611i | ||||
\(924\) | 4.47395 | − | 0.861637i | 0.147182 | − | 0.0283458i | ||||
\(925\) | −5.90835 | − | 14.2640i | −0.194265 | − | 0.468998i | ||||
\(926\) | 47.0149 | − | 14.8030i | 1.54501 | − | 0.486455i | ||||
\(927\) | 4.82907 | + | 5.38315i | 0.158607 | + | 0.176806i | ||||
\(928\) | −6.13779 | − | 16.9695i | −0.201483 | − | 0.557052i | ||||
\(929\) | 49.5491i | 1.62565i | 0.582506 | + | 0.812826i | \(0.302072\pi\) | ||||
−0.582506 | + | 0.812826i | \(0.697928\pi\) | |||||||
\(930\) | 3.12223 | − | 2.47679i | 0.102382 | − | 0.0812172i | ||||
\(931\) | 0.681629 | − | 0.282340i | 0.0223395 | − | 0.00925332i | ||||
\(932\) | 39.3851 | + | 6.97733i | 1.29010 | + | 0.228550i | ||||
\(933\) | −1.20687 | + | 44.5200i | −0.0395110 | + | 1.45752i | ||||
\(934\) | −17.1131 | + | 14.3479i | −0.559957 | + | 0.469476i | ||||
\(935\) | −3.51088 | − | 3.51088i | −0.114818 | − | 0.114818i | ||||
\(936\) | 16.9586 | + | 5.56744i | 0.554310 | + | 0.181977i | ||||
\(937\) | −4.33198 | + | 4.33198i | −0.141520 | + | 0.141520i | −0.774317 | − | 0.632798i | \(-0.781906\pi\) |
0.632798 | + | 0.774317i | \(0.281906\pi\) | |||||||
\(938\) | −1.82107 | + | 20.7189i | −0.0594600 | + | 0.676497i | ||||
\(939\) | 46.2584 | + | 1.25399i | 1.50958 | + | 0.0409224i | ||||
\(940\) | 3.67652 | − | 0.811963i | 0.119915 | − | 0.0264833i | ||||
\(941\) | −2.85641 | − | 6.89598i | −0.0931163 | − | 0.224803i | 0.870458 | − | 0.492242i | \(-0.163823\pi\) |
−0.963575 | + | 0.267439i | \(0.913823\pi\) | |||||||
\(942\) | −0.947271 | − | 0.109199i | −0.0308637 | − | 0.00355788i | ||||
\(943\) | −0.848553 | −0.0276327 | ||||||||
\(944\) | −19.8189 | + | 21.5588i | −0.645050 | + | 0.701679i | ||||
\(945\) | −2.27674 | + | 4.43796i | −0.0740623 | + | 0.144367i | ||||
\(946\) | −4.38894 | + | 8.42279i | −0.142697 | + | 0.273849i | ||||
\(947\) | −9.76096 | + | 4.04312i | −0.317189 | + | 0.131384i | −0.535597 | − | 0.844474i | \(-0.679913\pi\) |
0.218409 | + | 0.975857i | \(0.429913\pi\) | |||||||
\(948\) | 0.470890 | − | 2.29422i | 0.0152938 | − | 0.0745129i | ||||
\(949\) | −13.6227 | + | 32.8880i | −0.442210 | + | 1.06759i | ||||
\(950\) | 0.372599 | − | 4.23919i | 0.0120887 | − | 0.137538i | ||||
\(951\) | −20.4312 | + | 45.7757i | −0.662528 | + | 1.48438i | ||||
\(952\) | 1.43857 | + | 11.0298i | 0.0466243 | + | 0.357479i | ||||
\(953\) | 27.2994 | − | 27.2994i | 0.884316 | − | 0.884316i | −0.109654 | − | 0.993970i | \(-0.534974\pi\) |
0.993970 | + | 0.109654i | \(0.0349744\pi\) | |||||||
\(954\) | 6.28450 | − | 43.9993i | 0.203468 | − | 1.42453i | ||||
\(955\) | −8.13911 | + | 19.6495i | −0.263375 | + | 0.635844i | ||||
\(956\) | 4.74363 | + | 6.78622i | 0.153420 | + | 0.219482i | ||||
\(957\) | 4.99749 | + | 5.27599i | 0.161546 | + | 0.170549i | ||||
\(958\) | 11.3113 | − | 3.56145i | 0.365453 | − | 0.115065i | ||||
\(959\) | −2.83867 | −0.0916656 | ||||||||
\(960\) | 10.7868 | − | 7.78223i | 0.348142 | − | 0.251170i | ||||
\(961\) | 28.1272 | 0.907329 | ||||||||
\(962\) | 10.7414 | − | 3.38200i | 0.346317 | − | 0.109040i | ||||
\(963\) | 9.25677 | + | 4.43622i | 0.298295 | + | 0.142955i | ||||
\(964\) | 26.8973 | + | 38.4791i | 0.866303 | + | 1.23933i | ||||
\(965\) | −3.09067 | + | 7.46153i | −0.0994921 | + | 0.240195i | ||||
\(966\) | −14.8398 | − | 8.25154i | −0.477463 | − | 0.265489i | ||||
\(967\) | 13.4880 | − | 13.4880i | 0.433744 | − | 0.433744i | −0.456156 | − | 0.889900i | \(-0.650774\pi\) |
0.889900 | + | 0.456156i | \(0.150774\pi\) | |||||||
\(968\) | −25.9996 | + | 3.39101i | −0.835660 | + | 0.108991i | ||||
\(969\) | 4.58914 | + | 2.04829i | 0.147425 | + | 0.0658006i | ||||
\(970\) | −1.71382 | + | 19.4987i | −0.0550275 | + | 0.626067i | ||||
\(971\) | −15.8260 | + | 38.2075i | −0.507882 | + | 1.22614i | 0.437218 | + | 0.899355i | \(0.355964\pi\) |
−0.945100 | + | 0.326780i | \(0.894036\pi\) | |||||||
\(972\) | 9.53590 | − | 29.6828i | 0.305864 | − | 0.952075i | ||||
\(973\) | 6.43171 | − | 2.66410i | 0.206191 | − | 0.0854072i | ||||
\(974\) | −15.0816 | + | 28.9431i | −0.483247 | + | 0.927397i | ||||
\(975\) | −13.8779 | + | 5.31254i | −0.444448 | + | 0.170138i | ||||
\(976\) | −35.1592 | + | 1.47842i | −1.12542 | + | 0.0473231i | ||||
\(977\) | −23.8105 | −0.761765 | −0.380882 | − | 0.924623i | \(-0.624380\pi\) | ||||
−0.380882 | + | 0.924623i | \(0.624380\pi\) | |||||||
\(978\) | −1.89222 | + | 16.4146i | −0.0605066 | + | 0.524880i | ||||
\(979\) | −1.74533 | − | 4.21360i | −0.0557811 | − | 0.134667i | ||||
\(980\) | −1.87467 | + | 0.414022i | −0.0598840 | + | 0.0132254i | ||||
\(981\) | 13.3351 | + | 37.8789i | 0.425756 | + | 1.20938i | ||||
\(982\) | 2.90040 | − | 32.9989i | 0.0925554 | − | 1.05304i | ||||
\(983\) | 19.7593 | − | 19.7593i | 0.630225 | − | 0.630225i | −0.317899 | − | 0.948124i | \(-0.602977\pi\) |
0.948124 | + | 0.317899i | \(0.102977\pi\) | |||||||
\(984\) | 0.378393 | − | 0.465248i | 0.0120627 | − | 0.0148316i | ||||
\(985\) | −12.3025 | − | 12.3025i | −0.391989 | − | 0.391989i | ||||
\(986\) | −13.5955 | + | 11.3986i | −0.432968 | + | 0.363007i | ||||
\(987\) | 3.39558 | + | 0.0920488i | 0.108083 | + | 0.00292995i | ||||
\(988\) | 3.05635 | + | 0.541452i | 0.0972355 | + | 0.0172259i | ||||
\(989\) | 32.7010 | − | 13.5452i | 1.03983 | − | 0.430713i | ||||
\(990\) | −2.72898 | + | 4.60919i | −0.0867328 | + | 0.146490i | ||||
\(991\) | − | 21.8133i | − | 0.692922i | −0.938064 | − | 0.346461i | \(-0.887383\pi\) | ||
0.938064 | − | 0.346461i | \(-0.112617\pi\) | |||||||
\(992\) | −9.57802 | − | 0.437483i | −0.304102 | − | 0.0138901i | ||||
\(993\) | −3.95189 | + | 1.51281i | −0.125410 | + | 0.0480076i | ||||
\(994\) | −1.71367 | + | 0.539561i | −0.0543544 | + | 0.0171138i | ||||
\(995\) | −2.83790 | − | 6.85129i | −0.0899674 | − | 0.217200i | ||||
\(996\) | 8.16534 | + | 42.3976i | 0.258729 | + | 1.34342i | ||||
\(997\) | −3.61805 | − | 1.49864i | −0.114585 | − | 0.0474625i | 0.324655 | − | 0.945833i | \(-0.394752\pi\) |
−0.439239 | + | 0.898370i | \(0.644752\pi\) | |||||||
\(998\) | 2.90050 | + | 3.45950i | 0.0918136 | + | 0.109509i | ||||
\(999\) | −6.02658 | − | 18.7239i | −0.190673 | − | 0.592399i |
(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 | 672.2.bs.a.155.4 | ✓ | 192 | |
3.2 | odd | 2 | inner | 672.2.bs.a.155.45 | yes | 192 | |
32.19 | odd | 8 | inner | 672.2.bs.a.659.45 | yes | 192 | |
96.83 | even | 8 | inner | 672.2.bs.a.659.4 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.bs.a.155.4 | ✓ | 192 | 1.1 | even | 1 | trivial | |
672.2.bs.a.155.45 | yes | 192 | 3.2 | odd | 2 | inner | |
672.2.bs.a.659.4 | yes | 192 | 96.83 | even | 8 | inner | |
672.2.bs.a.659.45 | yes | 192 | 32.19 | odd | 8 | inner |