Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 13.11 | ||
Character | \(\chi\) | \(=\) | 576.13 |
Dual form | 576.2.bm.a.133.11 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32727 | + | 0.488210i | −0.938523 | + | 0.345217i | ||||
\(3\) | 1.62021 | + | 0.612310i | 0.935428 | + | 0.353518i | ||||
\(4\) | 1.52330 | − | 1.29597i | 0.761651 | − | 0.647987i | ||||
\(5\) | −1.15808 | + | 3.41160i | −0.517910 | + | 1.52571i | 0.302050 | + | 0.953292i | \(0.402329\pi\) |
−0.819960 | + | 0.572421i | \(0.806004\pi\) | |||||||
\(6\) | −2.44939 | − | 0.0217003i | −0.999961 | − | 0.00885913i | ||||
\(7\) | −0.367980 | + | 0.479561i | −0.139083 | + | 0.181257i | −0.857702 | − | 0.514148i | \(-0.828108\pi\) |
0.718618 | + | 0.695405i | \(0.244775\pi\) | |||||||
\(8\) | −1.38913 | + | 2.46380i | −0.491131 | + | 0.871086i | ||||
\(9\) | 2.25015 | + | 1.98414i | 0.750051 | + | 0.661380i | ||||
\(10\) | −0.128487 | − | 5.09351i | −0.0406312 | − | 1.61071i | ||||
\(11\) | 6.36992 | + | 0.417507i | 1.92060 | + | 0.125883i | 0.978076 | − | 0.208246i | \(-0.0667756\pi\) |
0.942527 | + | 0.334129i | \(0.108442\pi\) | |||||||
\(12\) | 3.26161 | − | 1.16702i | 0.941545 | − | 0.336889i | ||||
\(13\) | 1.08253 | − | 1.23439i | 0.300240 | − | 0.342358i | −0.581973 | − | 0.813208i | \(-0.697719\pi\) |
0.882214 | + | 0.470850i | \(0.156053\pi\) | |||||||
\(14\) | 0.254283 | − | 0.816159i | 0.0679600 | − | 0.218128i | ||||
\(15\) | −3.96529 | + | 4.81840i | −1.02383 | + | 1.24410i | ||||
\(16\) | 0.640898 | − | 3.94832i | 0.160225 | − | 0.987081i | ||||
\(17\) | −2.48259 | − | 2.48259i | −0.602118 | − | 0.602118i | 0.338756 | − | 0.940874i | \(-0.389994\pi\) |
−0.940874 | + | 0.338756i | \(0.889994\pi\) | |||||||
\(18\) | −3.95524 | − | 1.53495i | −0.932259 | − | 0.361791i | ||||
\(19\) | −0.360105 | + | 1.81037i | −0.0826137 | + | 0.415327i | 0.917242 | + | 0.398331i | \(0.130410\pi\) |
−0.999856 | + | 0.0169963i | \(0.994590\pi\) | |||||||
\(20\) | 2.65724 | + | 6.69774i | 0.594176 | + | 1.49766i | ||||
\(21\) | −0.889844 | + | 0.551671i | −0.194180 | + | 0.120384i | ||||
\(22\) | −8.65845 | + | 2.55571i | −1.84599 | + | 0.544880i | ||||
\(23\) | −2.62573 | + | 2.01479i | −0.547502 | + | 0.420113i | −0.845124 | − | 0.534571i | \(-0.820473\pi\) |
0.297622 | + | 0.954684i | \(0.403807\pi\) | |||||||
\(24\) | −3.75929 | + | 3.14130i | −0.767362 | + | 0.641214i | ||||
\(25\) | −6.33108 | − | 4.85801i | −1.26622 | − | 0.971602i | ||||
\(26\) | −0.834172 | + | 2.16687i | −0.163595 | + | 0.424959i | ||||
\(27\) | 2.43081 | + | 4.59251i | 0.467809 | + | 0.883830i | ||||
\(28\) | 0.0609541 | + | 1.20741i | 0.0115192 | + | 0.228179i | ||||
\(29\) | −3.49761 | + | 7.09246i | −0.649491 | + | 1.31704i | 0.284134 | + | 0.958784i | \(0.408294\pi\) |
−0.933625 | + | 0.358252i | \(0.883373\pi\) | |||||||
\(30\) | 2.91063 | − | 8.33122i | 0.531406 | − | 1.52106i | ||||
\(31\) | −2.49879 | − | 1.44268i | −0.448796 | − | 0.259112i | 0.258526 | − | 0.966004i | \(-0.416763\pi\) |
−0.707322 | + | 0.706892i | \(0.750097\pi\) | |||||||
\(32\) | 1.07696 | + | 5.55339i | 0.190382 | + | 0.981710i | ||||
\(33\) | 10.0650 | + | 4.57682i | 1.75208 | + | 0.796722i | ||||
\(34\) | 4.50711 | + | 2.08305i | 0.772962 | + | 0.357240i | ||||
\(35\) | −1.20992 | − | 1.81077i | −0.204513 | − | 0.306076i | ||||
\(36\) | 5.99906 | + | 0.106305i | 0.999843 | + | 0.0177176i | ||||
\(37\) | −1.97845 | − | 9.94633i | −0.325255 | − | 1.63517i | −0.704382 | − | 0.709822i | \(-0.748776\pi\) |
0.379127 | − | 0.925345i | \(-0.376224\pi\) | |||||||
\(38\) | −0.405883 | − | 2.57866i | −0.0658429 | − | 0.418314i | ||||
\(39\) | 2.50976 | − | 1.33712i | 0.401883 | − | 0.214111i | ||||
\(40\) | −6.79678 | − | 7.59243i | −1.07467 | − | 1.20047i | ||||
\(41\) | 3.13877 | − | 2.40846i | 0.490194 | − | 0.376139i | −0.333885 | − | 0.942614i | \(-0.608360\pi\) |
0.824079 | + | 0.566475i | \(0.191693\pi\) | |||||||
\(42\) | 0.911734 | − | 1.16665i | 0.140684 | − | 0.180018i | ||||
\(43\) | −0.440949 | + | 6.72758i | −0.0672441 | + | 1.02595i | 0.822287 | + | 0.569072i | \(0.192698\pi\) |
−0.889531 | + | 0.456874i | \(0.848969\pi\) | |||||||
\(44\) | 10.2444 | − | 7.61927i | 1.54440 | − | 1.14865i | ||||
\(45\) | −9.37495 | + | 5.37882i | −1.39754 | + | 0.801827i | ||||
\(46\) | 2.50141 | − | 3.95608i | 0.368813 | − | 0.583292i | ||||
\(47\) | −0.285202 | + | 1.06439i | −0.0416010 | + | 0.155257i | −0.983602 | − | 0.180353i | \(-0.942276\pi\) |
0.942001 | + | 0.335610i | \(0.108943\pi\) | |||||||
\(48\) | 3.45599 | − | 6.00468i | 0.498829 | − | 0.866701i | ||||
\(49\) | 1.71716 | + | 6.40854i | 0.245309 | + | 0.915506i | ||||
\(50\) | 10.7748 | + | 3.35700i | 1.52379 | + | 0.474752i | ||||
\(51\) | −2.50220 | − | 5.54244i | −0.350379 | − | 0.776097i | ||||
\(52\) | 0.0492833 | − | 3.28328i | 0.00683436 | − | 0.455309i | ||||
\(53\) | 0.409002 | − | 0.612115i | 0.0561807 | − | 0.0840804i | −0.802316 | − | 0.596900i | \(-0.796399\pi\) |
0.858496 | + | 0.512819i | \(0.171399\pi\) | |||||||
\(54\) | −5.46845 | − | 4.90877i | −0.744162 | − | 0.667999i | ||||
\(55\) | −8.80125 | + | 21.2481i | −1.18676 | + | 2.86509i | ||||
\(56\) | −0.670372 | − | 1.57280i | −0.0895822 | − | 0.210174i | ||||
\(57\) | −1.69195 | + | 2.71268i | −0.224104 | + | 0.359303i | ||||
\(58\) | 1.17968 | − | 11.1212i | 0.154899 | − | 1.46028i | ||||
\(59\) | 3.21697 | − | 9.47690i | 0.418814 | − | 1.23379i | −0.509007 | − | 0.860762i | \(-0.669987\pi\) |
0.927821 | − | 0.373025i | \(-0.121679\pi\) | |||||||
\(60\) | 0.204184 | + | 12.4788i | 0.0263601 | + | 1.61100i | ||||
\(61\) | 12.0237 | + | 5.92942i | 1.53947 | + | 0.759185i | 0.996737 | − | 0.0807179i | \(-0.0257213\pi\) |
0.542737 | + | 0.839903i | \(0.317388\pi\) | |||||||
\(62\) | 4.02090 | + | 0.694891i | 0.510655 | + | 0.0882512i | ||||
\(63\) | −1.77953 | + | 0.348961i | −0.224199 | + | 0.0439649i | ||||
\(64\) | −4.14064 | − | 6.84508i | −0.517581 | − | 0.855634i | ||||
\(65\) | 2.95758 | + | 5.12269i | 0.366843 | + | 0.635391i | ||||
\(66\) | −15.5934 | − | 1.16087i | −1.91941 | − | 0.142893i | ||||
\(67\) | −0.632139 | − | 9.64458i | −0.0772281 | − | 1.17827i | −0.843996 | − | 0.536349i | \(-0.819803\pi\) |
0.766768 | − | 0.641924i | \(-0.221864\pi\) | |||||||
\(68\) | −6.99912 | − | 0.564361i | −0.848768 | − | 0.0684389i | ||||
\(69\) | −5.48790 | + | 1.65662i | −0.660666 | + | 0.199434i | ||||
\(70\) | 2.48993 | + | 1.81269i | 0.297603 | + | 0.216658i | ||||
\(71\) | 0.0723646 | + | 0.174704i | 0.00858810 | + | 0.0207335i | 0.928115 | − | 0.372293i | \(-0.121428\pi\) |
−0.919527 | + | 0.393026i | \(0.871428\pi\) | |||||||
\(72\) | −8.01428 | + | 2.78770i | −0.944492 | + | 0.328534i | ||||
\(73\) | −2.42727 | + | 5.85995i | −0.284090 | + | 0.685855i | −0.999923 | − | 0.0124172i | \(-0.996047\pi\) |
0.715833 | + | 0.698272i | \(0.246047\pi\) | |||||||
\(74\) | 7.48184 | + | 12.2356i | 0.869746 | + | 1.42236i | ||||
\(75\) | −7.28306 | − | 11.7476i | −0.840976 | − | 1.35649i | ||||
\(76\) | 1.79764 | + | 3.22442i | 0.206204 | + | 0.369867i | ||||
\(77\) | −2.54422 | + | 2.90113i | −0.289941 | + | 0.330614i | ||||
\(78\) | −2.67833 | + | 3.00002i | −0.303261 | + | 0.339685i | ||||
\(79\) | −4.53833 | − | 1.21604i | −0.510602 | − | 0.136815i | −0.00568592 | − | 0.999984i | \(-0.501810\pi\) |
−0.504916 | + | 0.863168i | \(0.668477\pi\) | |||||||
\(80\) | 12.7279 | + | 6.75897i | 1.42302 | + | 0.755675i | ||||
\(81\) | 1.12637 | + | 8.92924i | 0.125152 | + | 0.992138i | ||||
\(82\) | −2.99017 | + | 4.72907i | −0.330209 | + | 0.522238i | ||||
\(83\) | −9.25847 | + | 3.14283i | −1.01625 | + | 0.344970i | −0.779367 | − | 0.626568i | \(-0.784459\pi\) |
−0.236882 | + | 0.971538i | \(0.576126\pi\) | |||||||
\(84\) | −0.640550 | + | 1.99358i | −0.0698898 | + | 0.217517i | ||||
\(85\) | 11.3447 | − | 5.59457i | 1.23050 | − | 0.606816i | ||||
\(86\) | −2.69921 | − | 9.14460i | −0.291064 | − | 0.986088i | ||||
\(87\) | −10.0096 | + | 9.34964i | −1.07315 | + | 1.00239i | ||||
\(88\) | −9.87729 | + | 15.1143i | −1.05292 | + | 1.61119i | ||||
\(89\) | −4.84513 | + | 2.00692i | −0.513583 | + | 0.212733i | −0.624396 | − | 0.781108i | \(-0.714655\pi\) |
0.110813 | + | 0.993841i | \(0.464655\pi\) | |||||||
\(90\) | 9.81712 | − | 11.7161i | 1.03482 | − | 1.23499i | ||||
\(91\) | 0.193615 | + | 0.973370i | 0.0202964 | + | 0.102037i | ||||
\(92\) | −1.38866 | + | 6.47201i | −0.144777 | + | 0.674754i | ||||
\(93\) | −3.16519 | − | 3.86747i | −0.328215 | − | 0.401038i | ||||
\(94\) | −0.141104 | − | 1.55197i | −0.0145538 | − | 0.160074i | ||||
\(95\) | −5.75922 | − | 3.32509i | −0.590883 | − | 0.341147i | ||||
\(96\) | −1.65549 | + | 9.65709i | −0.168963 | + | 0.985622i | ||||
\(97\) | 10.5978 | − | 6.11862i | 1.07604 | − | 0.621251i | 0.146214 | − | 0.989253i | \(-0.453291\pi\) |
0.929825 | + | 0.368002i | \(0.119958\pi\) | |||||||
\(98\) | −5.40786 | − | 7.66754i | −0.546276 | − | 0.774539i | ||||
\(99\) | 13.5049 | + | 13.5783i | 1.35729 | + | 1.36467i | ||||
\(100\) | −15.9400 | + | 0.804706i | −1.59400 | + | 0.0804706i | ||||
\(101\) | 6.12728 | − | 5.37348i | 0.609687 | − | 0.534681i | −0.297872 | − | 0.954606i | \(-0.596277\pi\) |
0.907559 | + | 0.419925i | \(0.137943\pi\) | |||||||
\(102\) | 6.02698 | + | 6.13472i | 0.596760 | + | 0.607428i | ||||
\(103\) | 1.29586 | − | 9.84304i | 0.127685 | − | 0.969864i | −0.800914 | − | 0.598779i | \(-0.795653\pi\) |
0.928599 | − | 0.371084i | \(-0.121014\pi\) | |||||||
\(104\) | 1.53752 | + | 4.38187i | 0.150766 | + | 0.429678i | ||||
\(105\) | −0.851566 | − | 3.67467i | −0.0831043 | − | 0.358611i | ||||
\(106\) | −0.244016 | + | 1.01212i | −0.0237010 | + | 0.0983059i | ||||
\(107\) | −1.26716 | − | 0.846692i | −0.122501 | − | 0.0818528i | 0.492810 | − | 0.870137i | \(-0.335970\pi\) |
−0.615311 | + | 0.788284i | \(0.710970\pi\) | |||||||
\(108\) | 9.65463 | + | 3.84552i | 0.929018 | + | 0.370036i | ||||
\(109\) | 2.07004 | − | 10.4068i | 0.198274 | − | 0.996791i | −0.745577 | − | 0.666420i | \(-0.767826\pi\) |
0.943851 | − | 0.330372i | \(-0.107174\pi\) | |||||||
\(110\) | 1.30812 | − | 32.4989i | 0.124724 | − | 3.09865i | ||||
\(111\) | 2.88474 | − | 17.3266i | 0.273808 | − | 1.64456i | ||||
\(112\) | 1.65762 | + | 1.76025i | 0.156631 | + | 0.166328i | ||||
\(113\) | −4.81557 | − | 17.9720i | −0.453011 | − | 1.69066i | −0.693870 | − | 0.720100i | \(-0.744096\pi\) |
0.240859 | − | 0.970560i | \(-0.422571\pi\) | |||||||
\(114\) | 0.921324 | − | 4.42649i | 0.0862899 | − | 0.414579i | ||||
\(115\) | −3.83285 | − | 11.2912i | −0.357415 | − | 1.05291i | ||||
\(116\) | 3.86373 | + | 15.3368i | 0.358738 | + | 1.42398i | ||||
\(117\) | 4.88506 | − | 0.629671i | 0.451624 | − | 0.0582131i | ||||
\(118\) | 0.356917 | + | 14.1490i | 0.0328569 | + | 1.30252i | ||||
\(119\) | 2.10410 | − | 0.277010i | 0.192883 | − | 0.0253935i | ||||
\(120\) | −6.36328 | − | 16.4631i | −0.580885 | − | 1.50286i | ||||
\(121\) | 29.4957 | + | 3.88318i | 2.68143 | + | 0.353017i | ||||
\(122\) | −18.8535 | − | 1.99988i | −1.70692 | − | 0.181060i | ||||
\(123\) | 6.56019 | − | 1.98031i | 0.591513 | − | 0.178559i | ||||
\(124\) | −5.67608 | + | 1.04074i | −0.509727 | + | 0.0934609i | ||||
\(125\) | 8.92740 | − | 5.96510i | 0.798491 | − | 0.533534i | ||||
\(126\) | 2.19155 | − | 1.33195i | 0.195239 | − | 0.118659i | ||||
\(127\) | 10.7518 | 0.954068 | 0.477034 | − | 0.878885i | \(-0.341712\pi\) | ||||
0.477034 | + | 0.878885i | \(0.341712\pi\) | |||||||
\(128\) | 8.83760 | + | 7.06377i | 0.781141 | + | 0.624355i | ||||
\(129\) | −4.83380 | + | 10.6301i | −0.425592 | + | 0.935927i | ||||
\(130\) | −6.42646 | − | 5.35528i | −0.563638 | − | 0.469689i | ||||
\(131\) | 0.622948 | + | 9.50435i | 0.0544272 | + | 0.830399i | 0.934590 | + | 0.355727i | \(0.115767\pi\) |
−0.880163 | + | 0.474672i | \(0.842567\pi\) | |||||||
\(132\) | 21.2634 | − | 6.07206i | 1.85074 | − | 0.528505i | ||||
\(133\) | −0.735670 | − | 0.838871i | −0.0637907 | − | 0.0727394i | ||||
\(134\) | 5.54760 | + | 12.4924i | 0.479240 | + | 1.07918i | ||||
\(135\) | −18.4829 | + | 2.97443i | −1.59075 | + | 0.255998i | ||||
\(136\) | 9.56527 | − | 2.66798i | 0.820215 | − | 0.228777i | ||||
\(137\) | 17.0654 | − | 2.24671i | 1.45800 | − | 0.191949i | 0.640535 | − | 0.767929i | \(-0.278713\pi\) |
0.817464 | + | 0.575980i | \(0.195379\pi\) | |||||||
\(138\) | 6.47516 | − | 4.87804i | 0.551202 | − | 0.415246i | ||||
\(139\) | −0.929463 | − | 1.88477i | −0.0788360 | − | 0.159864i | 0.853886 | − | 0.520461i | \(-0.174240\pi\) |
−0.932722 | + | 0.360597i | \(0.882573\pi\) | |||||||
\(140\) | −4.18978 | − | 1.19033i | −0.354101 | − | 0.100601i | ||||
\(141\) | −1.11382 | + | 1.54990i | −0.0938009 | + | 0.130525i | ||||
\(142\) | −0.181339 | − | 0.196550i | −0.0152177 | − | 0.0164941i | ||||
\(143\) | 7.41100 | − | 7.41100i | 0.619739 | − | 0.619739i | ||||
\(144\) | 9.27615 | − | 7.61269i | 0.773012 | − | 0.634391i | ||||
\(145\) | −20.1461 | − | 20.1461i | −1.67304 | − | 1.67304i | ||||
\(146\) | 0.360762 | − | 8.96276i | 0.0298569 | − | 0.741763i | ||||
\(147\) | −1.14185 | + | 11.4346i | −0.0941785 | + | 0.943111i | ||||
\(148\) | −15.9040 | − | 12.5872i | −1.30730 | − | 1.03467i | ||||
\(149\) | −1.64334 | + | 0.810404i | −0.134627 | + | 0.0663909i | −0.508355 | − | 0.861148i | \(-0.669746\pi\) |
0.373727 | + | 0.927539i | \(0.378080\pi\) | |||||||
\(150\) | 15.4019 | + | 12.0366i | 1.25756 | + | 0.982781i | ||||
\(151\) | 1.76769 | + | 13.4269i | 0.143852 | + | 1.09267i | 0.899261 | + | 0.437412i | \(0.144105\pi\) |
−0.755409 | + | 0.655254i | \(0.772562\pi\) | |||||||
\(152\) | −3.96016 | − | 3.40206i | −0.321211 | − | 0.275944i | ||||
\(153\) | −0.660398 | − | 10.5120i | −0.0533900 | − | 0.849848i | ||||
\(154\) | 1.96052 | − | 5.09270i | 0.157983 | − | 0.410382i | ||||
\(155\) | 7.81564 | − | 6.85413i | 0.627767 | − | 0.550537i | ||||
\(156\) | 2.09024 | − | 5.28943i | 0.167353 | − | 0.423493i | ||||
\(157\) | 8.45413 | − | 0.554113i | 0.674713 | − | 0.0442230i | 0.275804 | − | 0.961214i | \(-0.411056\pi\) |
0.398908 | + | 0.916991i | \(0.369389\pi\) | |||||||
\(158\) | 6.61728 | − | 0.601640i | 0.526443 | − | 0.0478639i | ||||
\(159\) | 1.03747 | − | 0.741317i | 0.0822769 | − | 0.0587903i | ||||
\(160\) | −20.1931 | − | 2.75711i | −1.59641 | − | 0.217969i | ||||
\(161\) | − | 2.00060i | − | 0.157669i | ||||||
\(162\) | −5.85434 | − | 11.3016i | −0.459961 | − | 0.887939i | ||||
\(163\) | −8.65144 | − | 12.9478i | −0.677633 | − | 1.01415i | −0.997768 | − | 0.0667774i | \(-0.978728\pi\) |
0.320135 | − | 0.947372i | \(-0.396272\pi\) | |||||||
\(164\) | 1.65999 | − | 7.73659i | 0.129623 | − | 0.604126i | ||||
\(165\) | −27.2703 | + | 29.0373i | −2.12299 | + | 2.26055i | ||||
\(166\) | 10.7541 | − | 8.69146i | 0.834684 | − | 0.674588i | ||||
\(167\) | −1.40764 | + | 10.6921i | −0.108927 | + | 0.827380i | 0.846549 | + | 0.532311i | \(0.178676\pi\) |
−0.955476 | + | 0.295069i | \(0.904657\pi\) | |||||||
\(168\) | −0.123099 | − | 2.95874i | −0.00949733 | − | 0.228272i | ||||
\(169\) | 1.34500 | + | 10.2163i | 0.103461 | + | 0.785865i | ||||
\(170\) | −12.3261 | + | 12.9641i | −0.945371 | + | 0.994300i | ||||
\(171\) | −4.40232 | + | 3.35911i | −0.336653 | + | 0.256877i | ||||
\(172\) | 8.04708 | + | 10.8196i | 0.613584 | + | 0.824986i | ||||
\(173\) | 5.84982 | − | 1.98575i | 0.444754 | − | 0.150974i | −0.0900733 | − | 0.995935i | \(-0.528710\pi\) |
0.534827 | + | 0.844962i | \(0.320377\pi\) | |||||||
\(174\) | 8.72094 | − | 17.2963i | 0.661133 | − | 1.31123i | ||||
\(175\) | 4.65942 | − | 1.24849i | 0.352219 | − | 0.0943768i | ||||
\(176\) | 5.73092 | − | 24.8829i | 0.431985 | − | 1.87562i | ||||
\(177\) | 11.0150 | − | 13.3848i | 0.827936 | − | 1.00606i | ||||
\(178\) | 5.45101 | − | 5.02917i | 0.408570 | − | 0.376952i | ||||
\(179\) | −23.0206 | − | 4.57909i | −1.72064 | − | 0.342257i | −0.766646 | − | 0.642070i | \(-0.778076\pi\) |
−0.953998 | + | 0.299813i | \(0.903076\pi\) | |||||||
\(180\) | −7.31007 | + | 20.3433i | −0.544860 | + | 1.51630i | ||||
\(181\) | 12.6356 | − | 18.9105i | 0.939196 | − | 1.40561i | 0.0252895 | − | 0.999680i | \(-0.491949\pi\) |
0.913906 | − | 0.405925i | \(-0.133051\pi\) | |||||||
\(182\) | −0.732189 | − | 1.19740i | −0.0542735 | − | 0.0887574i | ||||
\(183\) | 15.8502 | + | 16.9691i | 1.17168 | + | 1.25439i | ||||
\(184\) | −1.31657 | − | 9.26807i | −0.0970592 | − | 0.683251i | ||||
\(185\) | 36.2241 | + | 4.76899i | 2.66325 | + | 0.350623i | ||||
\(186\) | 6.08921 | + | 3.58791i | 0.446483 | + | 0.263078i | ||||
\(187\) | −14.7774 | − | 16.8504i | −1.08063 | − | 1.23223i | ||||
\(188\) | 0.944973 | + | 1.99100i | 0.0689192 | + | 0.145209i | ||||
\(189\) | −3.09688 | − | 0.524234i | −0.225265 | − | 0.0381324i | ||||
\(190\) | 9.26739 | + | 1.60159i | 0.672327 | + | 0.116191i | ||||
\(191\) | −4.57425 | − | 7.92284i | −0.330981 | − | 0.573276i | 0.651723 | − | 0.758457i | \(-0.274046\pi\) |
−0.982705 | + | 0.185180i | \(0.940713\pi\) | |||||||
\(192\) | −2.51740 | − | 13.6258i | −0.181678 | − | 0.983358i | ||||
\(193\) | 7.48600 | − | 12.9661i | 0.538854 | − | 0.933323i | −0.460112 | − | 0.887861i | \(-0.652191\pi\) |
0.998966 | − | 0.0454621i | \(-0.0144760\pi\) | |||||||
\(194\) | −11.0789 | + | 13.2950i | −0.795421 | + | 0.954525i | ||||
\(195\) | 1.65523 | + | 10.1108i | 0.118533 | + | 0.724048i | ||||
\(196\) | 10.9211 | + | 7.53675i | 0.780076 | + | 0.538339i | ||||
\(197\) | −2.00507 | + | 0.398833i | −0.142855 | + | 0.0284157i | −0.266000 | − | 0.963973i | \(-0.585702\pi\) |
0.123145 | + | 0.992389i | \(0.460702\pi\) | |||||||
\(198\) | −24.5537 | − | 11.4288i | −1.74496 | − | 0.812212i | ||||
\(199\) | 10.0293 | + | 24.2130i | 0.710961 | + | 1.71641i | 0.697586 | + | 0.716501i | \(0.254257\pi\) |
0.0133748 | + | 0.999911i | \(0.495743\pi\) | |||||||
\(200\) | 20.7639 | − | 8.85013i | 1.46823 | − | 0.625799i | ||||
\(201\) | 4.88128 | − | 16.0133i | 0.344299 | − | 1.12949i | ||||
\(202\) | −5.50918 | + | 10.1235i | −0.387625 | + | 0.712285i | ||||
\(203\) | −2.11421 | − | 4.28720i | −0.148389 | − | 0.300902i | ||||
\(204\) | −10.9945 | − | 5.20002i | −0.769767 | − | 0.364074i | ||||
\(205\) | 4.58176 | + | 13.4974i | 0.320004 | + | 0.942701i | ||||
\(206\) | 3.08551 | + | 13.6970i | 0.214978 | + | 0.954318i | ||||
\(207\) | −9.90591 | − | 0.676225i | −0.688508 | − | 0.0470009i | ||||
\(208\) | −4.17998 | − | 5.06530i | −0.289829 | − | 0.351215i | ||||
\(209\) | −3.04968 | + | 11.3816i | −0.210951 | + | 0.787279i | ||||
\(210\) | 2.92427 | + | 4.46154i | 0.201794 | + | 0.307876i | ||||
\(211\) | 7.83779 | + | 6.87356i | 0.539576 | + | 0.473195i | 0.885222 | − | 0.465170i | \(-0.154007\pi\) |
−0.345646 | + | 0.938365i | \(0.612340\pi\) | |||||||
\(212\) | −0.170252 | − | 1.46249i | −0.0116929 | − | 0.100444i | ||||
\(213\) | 0.0102729 | + | 0.327366i | 0.000703890 | + | 0.0224307i | ||||
\(214\) | 2.09524 | + | 0.505149i | 0.143227 | + | 0.0345312i | ||||
\(215\) | −22.4411 | − | 9.29543i | −1.53047 | − | 0.633943i | ||||
\(216\) | −14.6917 | − | 0.390565i | −0.999647 | − | 0.0265746i | ||||
\(217\) | 1.61136 | − | 0.667445i | 0.109386 | − | 0.0453091i | ||||
\(218\) | 2.33320 | + | 14.8233i | 0.158024 | + | 1.00396i | ||||
\(219\) | −7.52079 | + | 8.00809i | −0.508208 | + | 0.541137i | ||||
\(220\) | 14.1300 | + | 43.7735i | 0.952647 | + | 2.95121i | ||||
\(221\) | −5.75198 | + | 0.377004i | −0.386920 | + | 0.0253601i | ||||
\(222\) | 4.63016 | + | 24.4054i | 0.310756 | + | 1.63798i | ||||
\(223\) | 3.19269 | − | 1.84330i | 0.213799 | − | 0.123437i | −0.389277 | − | 0.921121i | \(-0.627275\pi\) |
0.603076 | + | 0.797684i | \(0.293942\pi\) | |||||||
\(224\) | −3.05949 | − | 1.52707i | −0.204421 | − | 0.102031i | ||||
\(225\) | −4.60692 | − | 23.4930i | −0.307128 | − | 1.56620i | ||||
\(226\) | 15.1657 | + | 21.5027i | 1.00881 | + | 1.43034i | ||||
\(227\) | 4.50220 | − | 9.12955i | 0.298821 | − | 0.605950i | −0.694738 | − | 0.719263i | \(-0.744480\pi\) |
0.993559 | + | 0.113313i | \(0.0361463\pi\) | |||||||
\(228\) | 0.938209 | + | 6.32496i | 0.0621344 | + | 0.418880i | ||||
\(229\) | −3.19956 | − | 1.08610i | −0.211433 | − | 0.0717717i | 0.213714 | − | 0.976896i | \(-0.431444\pi\) |
−0.425146 | + | 0.905125i | \(0.639777\pi\) | |||||||
\(230\) | 10.5997 | + | 13.1153i | 0.698925 | + | 0.864796i | ||||
\(231\) | −5.89856 | + | 3.14258i | −0.388097 | + | 0.206767i | ||||
\(232\) | −12.6158 | − | 18.4698i | −0.828267 | − | 1.21260i | ||||
\(233\) | −12.2699 | − | 5.08235i | −0.803826 | − | 0.332956i | −0.0573385 | − | 0.998355i | \(-0.518261\pi\) |
−0.746488 | + | 0.665399i | \(0.768261\pi\) | |||||||
\(234\) | −6.17640 | + | 3.22068i | −0.403764 | + | 0.210543i | ||||
\(235\) | −3.30098 | − | 2.20564i | −0.215332 | − | 0.143880i | ||||
\(236\) | −7.38140 | − | 18.6053i | −0.480488 | − | 1.21110i | ||||
\(237\) | −6.60845 | − | 4.74911i | −0.429265 | − | 0.308488i | ||||
\(238\) | −2.65747 | + | 1.39491i | −0.172258 | + | 0.0904186i | ||||
\(239\) | −12.5429 | + | 3.36085i | −0.811331 | + | 0.217395i | −0.640553 | − | 0.767914i | \(-0.721295\pi\) |
−0.170778 | + | 0.985310i | \(0.554628\pi\) | |||||||
\(240\) | 16.4832 | + | 18.7443i | 1.06399 | + | 1.20994i | ||||
\(241\) | −2.29515 | − | 0.614982i | −0.147843 | − | 0.0396145i | 0.184138 | − | 0.982900i | \(-0.441051\pi\) |
−0.331982 | + | 0.943286i | \(0.607717\pi\) | |||||||
\(242\) | −41.0446 | + | 9.24605i | −2.63845 | + | 0.594359i | ||||
\(243\) | −3.64251 | + | 15.1569i | −0.233667 | + | 0.972317i | ||||
\(244\) | 26.0001 | − | 6.55008i | 1.66448 | − | 0.419326i | ||||
\(245\) | −23.8520 | − | 1.56334i | −1.52385 | − | 0.0998783i | ||||
\(246\) | −7.74035 | + | 5.83116i | −0.493507 | + | 0.371781i | ||||
\(247\) | 1.84488 | + | 2.40429i | 0.117387 | + | 0.152981i | ||||
\(248\) | 7.02561 | − | 4.15246i | 0.446127 | − | 0.263682i | ||||
\(249\) | −16.9250 | − | 0.577021i | −1.07258 | − | 0.0365672i | ||||
\(250\) | −8.93686 | + | 12.2757i | −0.565217 | + | 0.776386i | ||||
\(251\) | 19.6782 | − | 3.91424i | 1.24208 | − | 0.247064i | 0.470042 | − | 0.882644i | \(-0.344239\pi\) |
0.772035 | + | 0.635580i | \(0.219239\pi\) | |||||||
\(252\) | −2.25851 | + | 2.83779i | −0.142273 | + | 0.178764i | ||||
\(253\) | −17.5669 | + | 11.7378i | −1.10442 | + | 0.737949i | ||||
\(254\) | −14.2706 | + | 5.24914i | −0.895415 | + | 0.329360i | ||||
\(255\) | 21.8063 | − | 2.11791i | 1.36557 | − | 0.132629i | ||||
\(256\) | −15.1785 | − | 5.06095i | −0.948656 | − | 0.316309i | ||||
\(257\) | −3.88692 | + | 6.73235i | −0.242460 | + | 0.419952i | −0.961414 | − | 0.275105i | \(-0.911287\pi\) |
0.718955 | + | 0.695057i | \(0.244621\pi\) | |||||||
\(258\) | 1.22605 | − | 16.4689i | 0.0763304 | − | 1.02531i | ||||
\(259\) | 5.49790 | + | 2.71126i | 0.341623 | + | 0.168470i | ||||
\(260\) | 11.1442 | + | 3.97044i | 0.691132 | + | 0.246236i | ||||
\(261\) | −21.9426 | + | 9.01935i | −1.35821 | + | 0.558284i | ||||
\(262\) | −5.46694 | − | 12.3107i | −0.337749 | − | 0.760559i | ||||
\(263\) | −3.43414 | + | 4.47546i | −0.211758 | + | 0.275968i | −0.887141 | − | 0.461499i | \(-0.847312\pi\) |
0.675383 | + | 0.737467i | \(0.263978\pi\) | |||||||
\(264\) | −25.2579 | + | 18.4403i | −1.55452 | + | 1.13492i | ||||
\(265\) | 1.61463 | + | 2.10423i | 0.0991860 | + | 0.129262i | ||||
\(266\) | 1.38598 | + | 0.754249i | 0.0849799 | + | 0.0462460i | ||||
\(267\) | −9.07898 | + | 0.284904i | −0.555625 | + | 0.0174358i | ||||
\(268\) | −13.4621 | − | 13.8724i | −0.822327 | − | 0.847390i | ||||
\(269\) | 14.1324 | + | 2.81110i | 0.861666 | + | 0.171396i | 0.606093 | − | 0.795394i | \(-0.292736\pi\) |
0.255573 | + | 0.966790i | \(0.417736\pi\) | |||||||
\(270\) | 23.0797 | − | 12.9714i | 1.40458 | − | 0.789414i | ||||
\(271\) | 10.4145 | − | 10.4145i | 0.632634 | − | 0.632634i | −0.316094 | − | 0.948728i | \(-0.602372\pi\) |
0.948728 | + | 0.316094i | \(0.102372\pi\) | |||||||
\(272\) | −11.3932 | + | 8.21099i | −0.690813 | + | 0.497865i | ||||
\(273\) | −0.282307 | + | 1.69562i | −0.0170860 | + | 0.102623i | ||||
\(274\) | −21.5536 | + | 11.3135i | −1.30210 | + | 0.683474i | ||||
\(275\) | −38.3002 | − | 33.5884i | −2.30959 | − | 2.02546i | ||||
\(276\) | −6.21279 | + | 9.63572i | −0.373966 | + | 0.580002i | ||||
\(277\) | 0.0681281 | − | 1.03943i | 0.00409342 | − | 0.0624535i | −0.995323 | − | 0.0965979i | \(-0.969204\pi\) |
0.999417 | + | 0.0341443i | \(0.0108706\pi\) | |||||||
\(278\) | 2.15381 | + | 2.04782i | 0.129177 | + | 0.122820i | ||||
\(279\) | −2.76018 | − | 8.20419i | −0.165248 | − | 0.491172i | ||||
\(280\) | 6.14211 | − | 0.465606i | 0.367061 | − | 0.0278253i | ||||
\(281\) | 10.0597 | + | 7.71908i | 0.600112 | + | 0.460482i | 0.863598 | − | 0.504181i | \(-0.168206\pi\) |
−0.263486 | + | 0.964663i | \(0.584872\pi\) | |||||||
\(282\) | 0.721670 | − | 2.60092i | 0.0429748 | − | 0.154882i | ||||
\(283\) | 13.7906 | + | 4.68127i | 0.819765 | + | 0.278273i | 0.699649 | − | 0.714487i | \(-0.253340\pi\) |
0.120117 | + | 0.992760i | \(0.461673\pi\) | |||||||
\(284\) | 0.336645 | + | 0.172344i | 0.0199762 | + | 0.0102267i | ||||
\(285\) | −7.29515 | − | 8.91376i | −0.432127 | − | 0.528006i | ||||
\(286\) | −6.21829 | + | 13.4545i | −0.367695 | + | 0.795584i | ||||
\(287\) | 2.39150i | 0.141166i | ||||||||
\(288\) | −8.59538 | + | 14.6328i | −0.506487 | + | 0.862247i | ||||
\(289\) | − | 4.67345i | − | 0.274909i | ||||||
\(290\) | 36.5749 | + | 16.9038i | 2.14775 | + | 0.992627i | ||||
\(291\) | 20.9171 | − | 3.42432i | 1.22618 | − | 0.200737i | ||||
\(292\) | 3.89688 | + | 12.0721i | 0.228048 | + | 0.706469i | ||||
\(293\) | 3.74314 | + | 1.27062i | 0.218676 | + | 0.0742306i | 0.428628 | − | 0.903481i | \(-0.358997\pi\) |
−0.209951 | + | 0.977712i | \(0.567331\pi\) | |||||||
\(294\) | −4.06694 | − | 15.7343i | −0.237189 | − | 0.917643i | ||||
\(295\) | 28.6058 | + | 21.9500i | 1.66550 | + | 1.27798i | ||||
\(296\) | 27.2541 | + | 8.94222i | 1.58411 | + | 0.519756i | ||||
\(297\) | 13.5666 | + | 30.2688i | 0.787216 | + | 1.75638i | ||||
\(298\) | 1.78551 | − | 1.87792i | 0.103432 | − | 0.108785i | ||||
\(299\) | −0.355393 | + | 5.42224i | −0.0205529 | + | 0.313576i | ||||
\(300\) | −26.3189 | − | 8.45644i | −1.51952 | − | 0.488233i | ||||
\(301\) | −3.06402 | − | 2.68708i | −0.176607 | − | 0.154881i | ||||
\(302\) | −8.90135 | − | 16.9582i | −0.512215 | − | 0.975832i | ||||
\(303\) | 13.2177 | − | 4.95436i | 0.759338 | − | 0.284621i | ||||
\(304\) | 6.91713 | + | 2.58207i | 0.396724 | + | 0.148092i | ||||
\(305\) | −34.1532 | + | 34.1532i | −1.95561 | + | 1.95561i | ||||
\(306\) | 6.00861 | + | 13.6299i | 0.343489 | + | 0.779170i | ||||
\(307\) | 5.64307 | + | 1.12248i | 0.322067 | + | 0.0640632i | 0.353476 | − | 0.935443i | \(-0.384999\pi\) |
−0.0314091 | + | 0.999507i | \(0.509999\pi\) | |||||||
\(308\) | −0.115828 | + | 7.71655i | −0.00659992 | + | 0.439691i | ||||
\(309\) | 8.12656 | − | 15.1543i | 0.462304 | − | 0.862099i | ||||
\(310\) | −7.02722 | + | 12.9130i | −0.399119 | + | 0.733407i | ||||
\(311\) | −7.41058 | − | 9.65766i | −0.420216 | − | 0.547636i | 0.534495 | − | 0.845172i | \(-0.320502\pi\) |
−0.954711 | + | 0.297536i | \(0.903835\pi\) | |||||||
\(312\) | −0.191962 | + | 8.04098i | −0.0108677 | + | 0.455231i | ||||
\(313\) | 0.761738 | − | 0.992717i | 0.0430560 | − | 0.0561117i | −0.771329 | − | 0.636436i | \(-0.780408\pi\) |
0.814385 | + | 0.580325i | \(0.197074\pi\) | |||||||
\(314\) | −10.9504 | + | 4.86285i | −0.617967 | + | 0.274426i | ||||
\(315\) | 0.870324 | − | 6.47516i | 0.0490372 | − | 0.364834i | ||||
\(316\) | −8.48921 | + | 4.02916i | −0.477555 | + | 0.226658i | ||||
\(317\) | 2.94776 | + | 1.45367i | 0.165562 | + | 0.0816464i | 0.523182 | − | 0.852221i | \(-0.324745\pi\) |
−0.357619 | + | 0.933867i | \(0.616411\pi\) | |||||||
\(318\) | −1.01509 | + | 1.49043i | −0.0569234 | + | 0.0835794i | ||||
\(319\) | −25.2407 | + | 43.7181i | −1.41321 | + | 2.44775i | ||||
\(320\) | 28.1478 | − | 6.19906i | 1.57351 | − | 0.346538i | ||||
\(321\) | −1.53463 | − | 2.14772i | −0.0856548 | − | 0.119874i | ||||
\(322\) | 0.976712 | + | 2.65534i | 0.0544300 | + | 0.147976i | ||||
\(323\) | 5.38840 | − | 3.60042i | 0.299819 | − | 0.200333i | ||||
\(324\) | 13.2879 | + | 12.1422i | 0.738215 | + | 0.674566i | ||||
\(325\) | −12.8503 | + | 2.55608i | −0.712805 | + | 0.141786i | ||||
\(326\) | 17.8041 | + | 12.9615i | 0.986075 | + | 0.717872i | ||||
\(327\) | 9.72609 | − | 15.5937i | 0.537854 | − | 0.862333i | ||||
\(328\) | 1.57382 | + | 11.0790i | 0.0868999 | + | 0.611734i | ||||
\(329\) | −0.405491 | − | 0.528446i | −0.0223554 | − | 0.0291342i | ||||
\(330\) | 22.0188 | − | 51.8540i | 1.21210 | − | 2.85447i | ||||
\(331\) | −2.37889 | − | 0.155921i | −0.130756 | − | 0.00857017i | −0.000115181 | − | 1.00000i | \(-0.500037\pi\) |
−0.130640 | + | 0.991430i | \(0.541703\pi\) | |||||||
\(332\) | −10.0304 | + | 16.7862i | −0.550491 | + | 0.921263i | ||||
\(333\) | 15.2831 | − | 26.3063i | 0.837509 | − | 1.44157i | ||||
\(334\) | −3.35167 | − | 14.8786i | −0.183395 | − | 0.814119i | ||||
\(335\) | 33.6355 | + | 9.01260i | 1.83770 | + | 0.492411i | ||||
\(336\) | 1.60787 | + | 3.86696i | 0.0877167 | + | 0.210960i | ||||
\(337\) | −15.1372 | + | 4.05601i | −0.824578 | + | 0.220945i | −0.646347 | − | 0.763044i | \(-0.723704\pi\) |
−0.178231 | + | 0.983989i | \(0.557037\pi\) | |||||||
\(338\) | −6.77285 | − | 12.9031i | −0.368394 | − | 0.701836i | ||||
\(339\) | 3.20219 | − | 32.0670i | 0.173919 | − | 1.74164i | ||||
\(340\) | 10.0309 | − | 23.2246i | 0.544003 | − | 1.25953i | ||||
\(341\) | −15.3148 | − | 10.2330i | −0.829341 | − | 0.554148i | ||||
\(342\) | 4.20312 | − | 6.60770i | 0.227279 | − | 0.357304i | ||||
\(343\) | −7.61439 | − | 3.15398i | −0.411138 | − | 0.170299i | ||||
\(344\) | −15.9629 | − | 10.4319i | −0.860662 | − | 0.562449i | ||||
\(345\) | 0.703709 | − | 20.6410i | 0.0378864 | − | 1.11127i | ||||
\(346\) | −6.79484 | + | 5.49157i | −0.365293 | + | 0.295228i | ||||
\(347\) | −23.2373 | − | 7.88802i | −1.24745 | − | 0.423451i | −0.381864 | − | 0.924218i | \(-0.624718\pi\) |
−0.865582 | + | 0.500767i | \(0.833051\pi\) | |||||||
\(348\) | −3.13082 | + | 27.2146i | −0.167830 | + | 1.45885i | ||||
\(349\) | 2.82422 | − | 5.72695i | 0.151177 | − | 0.306557i | −0.808089 | − | 0.589060i | \(-0.799498\pi\) |
0.959266 | + | 0.282503i | \(0.0911648\pi\) | |||||||
\(350\) | −5.57480 | + | 3.93186i | −0.297985 | + | 0.210167i | ||||
\(351\) | 8.30038 | + | 1.97098i | 0.443041 | + | 0.105203i | ||||
\(352\) | 4.54160 | + | 35.8243i | 0.242068 | + | 1.90944i | ||||
\(353\) | 8.93303 | − | 5.15749i | 0.475457 | − | 0.274505i | −0.243064 | − | 0.970010i | \(-0.578153\pi\) |
0.718521 | + | 0.695505i | \(0.244819\pi\) | |||||||
\(354\) | −8.08529 | + | 23.1428i | −0.429728 | + | 1.23003i | ||||
\(355\) | −0.679822 | + | 0.0445579i | −0.0360812 | + | 0.00236489i | ||||
\(356\) | −4.77968 | + | 9.33631i | −0.253323 | + | 0.494824i | ||||
\(357\) | 3.57870 | + | 0.839548i | 0.189405 | + | 0.0444336i | ||||
\(358\) | 32.7902 | − | 5.16121i | 1.73302 | − | 0.272778i | ||||
\(359\) | 31.7049 | − | 13.1326i | 1.67332 | − | 0.693112i | 0.674348 | − | 0.738414i | \(-0.264425\pi\) |
0.998973 | + | 0.0453016i | \(0.0144249\pi\) | |||||||
\(360\) | −0.229334 | − | 30.5699i | −0.0120870 | − | 1.61117i | ||||
\(361\) | 14.4060 | + | 5.96714i | 0.758208 | + | 0.314060i | ||||
\(362\) | −7.53857 | + | 31.2682i | −0.396218 | + | 1.64342i | ||||
\(363\) | 45.4115 | + | 24.3521i | 2.38348 | + | 1.27815i | ||||
\(364\) | 1.55640 | + | 1.23182i | 0.0815774 | + | 0.0645647i | ||||
\(365\) | −17.1808 | − | 15.0672i | −0.899284 | − | 0.788651i | ||||
\(366\) | −29.3220 | − | 14.7844i | −1.53269 | − | 0.772793i | ||||
\(367\) | −5.75054 | + | 21.4613i | −0.300176 | + | 1.12027i | 0.636843 | + | 0.770993i | \(0.280240\pi\) |
−0.937019 | + | 0.349278i | \(0.886427\pi\) | |||||||
\(368\) | 6.27222 | + | 11.6585i | 0.326962 | + | 0.607741i | ||||
\(369\) | 11.8414 | + | 0.808355i | 0.616441 | + | 0.0420813i | ||||
\(370\) | −50.4075 | + | 11.3552i | −2.62056 | + | 0.590329i | ||||
\(371\) | 0.143042 | + | 0.421387i | 0.00742635 | + | 0.0218773i | ||||
\(372\) | −9.83370 | − | 1.78932i | −0.509853 | − | 0.0927717i | ||||
\(373\) | 5.71476 | + | 11.5884i | 0.295899 | + | 0.600024i | 0.993156 | − | 0.116797i | \(-0.0372628\pi\) |
−0.697256 | + | 0.716822i | \(0.745596\pi\) | |||||||
\(374\) | 27.8402 | + | 15.1506i | 1.43958 | + | 0.783420i | ||||
\(375\) | 18.1167 | − | 4.19836i | 0.935544 | − | 0.216802i | ||||
\(376\) | −2.22626 | − | 2.18126i | −0.114811 | − | 0.112490i | ||||
\(377\) | 4.96859 | + | 11.9952i | 0.255895 | + | 0.617786i | ||||
\(378\) | 4.36633 | − | 0.816126i | 0.224580 | − | 0.0419770i | ||||
\(379\) | −10.1984 | + | 2.02858i | −0.523855 | + | 0.104201i | −0.449932 | − | 0.893063i | \(-0.648552\pi\) |
−0.0739228 | + | 0.997264i | \(0.523552\pi\) | |||||||
\(380\) | −13.0823 | + | 2.39869i | −0.671106 | + | 0.123050i | ||||
\(381\) | 17.4202 | + | 6.58344i | 0.892462 | + | 0.337280i | ||||
\(382\) | 9.93928 | + | 8.28256i | 0.508538 | + | 0.423773i | ||||
\(383\) | −0.386027 | + | 0.668618i | −0.0197250 | + | 0.0341648i | −0.875719 | − | 0.482820i | \(-0.839612\pi\) |
0.855994 | + | 0.516985i | \(0.172946\pi\) | |||||||
\(384\) | 9.99353 | + | 16.8561i | 0.509980 | + | 0.860186i | ||||
\(385\) | −6.95107 | − | 12.0396i | −0.354259 | − | 0.613595i | ||||
\(386\) | −3.60577 | + | 20.8643i | −0.183529 | + | 1.06197i | ||||
\(387\) | −14.3407 | + | 14.2632i | −0.728977 | + | 0.725038i | ||||
\(388\) | 8.21401 | − | 23.0549i | 0.417003 | − | 1.17044i | ||||
\(389\) | −18.5714 | − | 21.1766i | −0.941606 | − | 1.07370i | −0.997165 | − | 0.0752408i | \(-0.976027\pi\) |
0.0555591 | − | 0.998455i | \(-0.482306\pi\) | |||||||
\(390\) | −7.13312 | − | 12.6117i | −0.361200 | − | 0.638616i | ||||
\(391\) | 11.5205 | + | 1.51671i | 0.582618 | + | 0.0767031i | ||||
\(392\) | −18.1747 | − | 4.67154i | −0.917963 | − | 0.235948i | ||||
\(393\) | −4.81031 | + | 15.7805i | −0.242648 | + | 0.796019i | ||||
\(394\) | 2.46656 | − | 1.50825i | 0.124263 | − | 0.0759848i | ||||
\(395\) | 9.40440 | − | 14.0747i | 0.473187 | − | 0.708174i | ||||
\(396\) | 38.1691 | + | 3.18180i | 1.91807 | + | 0.159892i | ||||
\(397\) | 0.191355 | + | 0.0380628i | 0.00960382 | + | 0.00191032i | 0.199890 | − | 0.979818i | \(-0.435942\pi\) |
−0.190286 | + | 0.981729i | \(0.560942\pi\) | |||||||
\(398\) | −25.1327 | − | 27.2408i | −1.25979 | − | 1.36546i | ||||
\(399\) | −0.678290 | − | 1.80960i | −0.0339570 | − | 0.0905936i | ||||
\(400\) | −23.2386 | + | 21.8837i | −1.16193 | + | 1.09418i | ||||
\(401\) | 28.4606 | − | 7.62600i | 1.42126 | − | 0.380824i | 0.535326 | − | 0.844645i | \(-0.320189\pi\) |
0.885929 | + | 0.463821i | \(0.153522\pi\) | |||||||
\(402\) | 1.33907 | + | 23.6371i | 0.0667866 | + | 1.17891i | ||||
\(403\) | −4.48584 | + | 1.52274i | −0.223456 | + | 0.0758530i | ||||
\(404\) | 2.36980 | − | 16.1262i | 0.117902 | − | 0.802310i | ||||
\(405\) | −31.7674 | − | 6.49807i | −1.57853 | − | 0.322891i | ||||
\(406\) | 4.89919 | + | 4.65810i | 0.243143 | + | 0.231178i | ||||
\(407\) | −8.44990 | − | 64.1833i | −0.418846 | − | 3.18145i | ||||
\(408\) | 17.1314 | + | 1.53423i | 0.848129 | + | 0.0759555i | ||||
\(409\) | −1.17656 | + | 8.93684i | −0.0581770 | + | 0.441898i | 0.937423 | + | 0.348193i | \(0.113205\pi\) |
−0.995600 | + | 0.0937055i | \(0.970129\pi\) | |||||||
\(410\) | −12.6708 | − | 15.6779i | −0.625767 | − | 0.774276i | ||||
\(411\) | 29.0253 | + | 6.80921i | 1.43171 | + | 0.335873i | ||||
\(412\) | −10.7823 | − | 16.6733i | −0.531208 | − | 0.821436i | ||||
\(413\) | 3.36097 | + | 5.03004i | 0.165382 | + | 0.247512i | ||||
\(414\) | 13.4780 | − | 3.93863i | 0.662406 | − | 0.193573i | ||||
\(415\) | − | 35.2258i | − | 1.72917i | ||||||
\(416\) | 8.02090 | + | 4.68232i | 0.393257 | + | 0.229570i | ||||
\(417\) | −0.351863 | − | 3.62283i | −0.0172308 | − | 0.177411i | ||||
\(418\) | −1.50884 | − | 16.5953i | −0.0737996 | − | 0.811703i | ||||
\(419\) | −22.1590 | + | 1.45238i | −1.08254 | + | 0.0709532i | −0.596214 | − | 0.802826i | \(-0.703329\pi\) |
−0.486323 | + | 0.873779i | \(0.661662\pi\) | |||||||
\(420\) | −6.05947 | − | 4.49402i | −0.295672 | − | 0.219286i | ||||
\(421\) | −21.4104 | + | 18.7765i | −1.04348 | + | 0.915109i | −0.996484 | − | 0.0837864i | \(-0.973299\pi\) |
−0.0469977 | + | 0.998895i | \(0.514965\pi\) | |||||||
\(422\) | −13.7586 | − | 5.29660i | −0.669759 | − | 0.257834i | ||||
\(423\) | −2.75365 | + | 1.82916i | −0.133887 | + | 0.0889366i | ||||
\(424\) | 0.939973 | + | 1.85801i | 0.0456491 | + | 0.0902327i | ||||
\(425\) | 3.65704 | + | 27.7780i | 0.177392 | + | 1.34743i | ||||
\(426\) | −0.173458 | − | 0.429488i | −0.00840408 | − | 0.0208088i | ||||
\(427\) | −7.26799 | + | 3.58418i | −0.351723 | + | 0.173450i | ||||
\(428\) | −3.02757 | + | 0.352445i | −0.146343 | + | 0.0170361i | ||||
\(429\) | 16.5452 | − | 7.46954i | 0.798810 | − | 0.360633i | ||||
\(430\) | 34.3236 | + | 1.38157i | 1.65523 | + | 0.0666252i | ||||
\(431\) | −4.56530 | − | 4.56530i | −0.219903 | − | 0.219903i | 0.588555 | − | 0.808458i | \(-0.299697\pi\) |
−0.808458 | + | 0.588555i | \(0.799697\pi\) | |||||||
\(432\) | 19.6906 | − | 6.65427i | 0.947366 | − | 0.320154i | ||||
\(433\) | −27.1907 | + | 27.1907i | −1.30670 | + | 1.30670i | −0.382924 | + | 0.923780i | \(0.625083\pi\) |
−0.923780 | + | 0.382924i | \(0.874917\pi\) | |||||||
\(434\) | −1.81285 | + | 1.67256i | −0.0870198 | + | 0.0802855i | ||||
\(435\) | −20.3052 | − | 44.9765i | −0.973561 | − | 2.15646i | ||||
\(436\) | −10.3337 | − | 18.5354i | −0.494892 | − | 0.887686i | ||||
\(437\) | −2.70198 | − | 5.47907i | −0.129253 | − | 0.262099i | ||||
\(438\) | 6.07250 | − | 14.3006i | 0.290155 | − | 0.683311i | ||||
\(439\) | −19.2186 | + | 2.53017i | −0.917253 | + | 0.120759i | −0.574348 | − | 0.818611i | \(-0.694744\pi\) |
−0.342905 | + | 0.939370i | \(0.611411\pi\) | |||||||
\(440\) | −40.1251 | − | 51.2009i | −1.91289 | − | 2.44091i | ||||
\(441\) | −8.85157 | + | 17.8273i | −0.421503 | + | 0.848919i | ||||
\(442\) | 7.45038 | − | 3.30856i | 0.354378 | − | 0.157372i | ||||
\(443\) | −8.75639 | − | 9.98475i | −0.416029 | − | 0.474390i | 0.505429 | − | 0.862868i | \(-0.331334\pi\) |
−0.921458 | + | 0.388478i | \(0.873001\pi\) | |||||||
\(444\) | −18.0604 | − | 30.1321i | −0.857111 | − | 1.43001i | ||||
\(445\) | −1.23574 | − | 18.8538i | −0.0585799 | − | 0.893757i | ||||
\(446\) | −3.33765 | + | 4.00527i | −0.158043 | + | 0.189655i | ||||
\(447\) | −3.15877 | + | 0.306792i | −0.149405 | + | 0.0145107i | ||||
\(448\) | 4.80630 | + | 0.533160i | 0.227077 | + | 0.0251894i | ||||
\(449\) | 15.6548 | 0.738798 | 0.369399 | − | 0.929271i | \(-0.379564\pi\) | ||||
0.369399 | + | 0.929271i | \(0.379564\pi\) | |||||||
\(450\) | 17.5842 | + | 28.9325i | 0.828925 | + | 1.36389i | ||||
\(451\) | 20.9993 | − | 14.0313i | 0.988817 | − | 0.660707i | ||||
\(452\) | −30.6268 | − | 21.1359i | −1.44056 | − | 0.994148i | ||||
\(453\) | −5.35741 | + | 22.8368i | −0.251713 | + | 1.07296i | ||||
\(454\) | −1.51850 | + | 14.3154i | −0.0712668 | + | 0.671856i | ||||
\(455\) | −3.54497 | − | 0.466704i | −0.166191 | − | 0.0218794i | ||||
\(456\) | −4.33317 | − | 7.93689i | −0.202919 | − | 0.371679i | ||||
\(457\) | −8.77536 | + | 1.15530i | −0.410494 | + | 0.0540426i | −0.332946 | − | 0.942946i | \(-0.608043\pi\) |
−0.0775484 | + | 0.996989i | \(0.524709\pi\) | |||||||
\(458\) | 4.77693 | − | 0.120501i | 0.223211 | − | 0.00563065i | ||||
\(459\) | 5.36664 | − | 17.4361i | 0.250493 | − | 0.813845i | ||||
\(460\) | −20.4717 | − | 12.2326i | −0.954499 | − | 0.570350i | ||||
\(461\) | −11.9765 | − | 35.2818i | −0.557803 | − | 1.64324i | −0.749668 | − | 0.661814i | \(-0.769787\pi\) |
0.191865 | − | 0.981421i | \(-0.438546\pi\) | |||||||
\(462\) | 6.29476 | − | 7.05080i | 0.292859 | − | 0.328033i | ||||
\(463\) | −8.81657 | − | 32.9039i | −0.409741 | − | 1.52917i | −0.795141 | − | 0.606424i | \(-0.792603\pi\) |
0.385400 | − | 0.922750i | \(-0.374063\pi\) | |||||||
\(464\) | 25.7617 | + | 18.3553i | 1.19596 | + | 0.852121i | ||||
\(465\) | 16.8598 | − | 6.31952i | 0.781855 | − | 0.293061i | ||||
\(466\) | 18.7667 | + | 0.755384i | 0.869351 | + | 0.0349925i | ||||
\(467\) | −6.35442 | + | 31.9458i | −0.294047 | + | 1.47828i | 0.497658 | + | 0.867373i | \(0.334193\pi\) |
−0.791705 | + | 0.610903i | \(0.790807\pi\) | |||||||
\(468\) | 6.62539 | − | 7.29010i | 0.306259 | − | 0.336985i | ||||
\(469\) | 4.85778 | + | 3.24586i | 0.224311 | + | 0.149880i | ||||
\(470\) | 5.45812 | + | 1.31592i | 0.251764 | + | 0.0606988i | ||||
\(471\) | 14.0367 | + | 4.27877i | 0.646779 | + | 0.197155i | ||||
\(472\) | 18.8804 | + | 21.0906i | 0.869042 | + | 0.970774i | ||||
\(473\) | −5.61762 | + | 42.6701i | −0.258298 | + | 1.96197i | ||||
\(474\) | 11.0898 | + | 3.07705i | 0.509370 | + | 0.141334i | ||||
\(475\) | 11.0746 | − | 9.71220i | 0.508139 | − | 0.445626i | ||||
\(476\) | 2.84618 | − | 3.14883i | 0.130455 | − | 0.144326i | ||||
\(477\) | 2.13484 | − | 0.565834i | 0.0977475 | − | 0.0259077i | ||||
\(478\) | 15.0070 | − | 10.5843i | 0.686404 | − | 0.484115i | ||||
\(479\) | 2.35163 | − | 1.35772i | 0.107449 | − | 0.0620356i | −0.445313 | − | 0.895375i | \(-0.646907\pi\) |
0.552761 | + | 0.833340i | \(0.313574\pi\) | |||||||
\(480\) | −31.0289 | − | 16.8316i | −1.41627 | − | 0.768252i | ||||
\(481\) | −14.4194 | − | 8.32503i | −0.657467 | − | 0.379589i | ||||
\(482\) | 3.34652 | − | 0.304264i | 0.152430 | − | 0.0138588i | ||||
\(483\) | 1.22499 | − | 3.24139i | 0.0557388 | − | 0.147488i | ||||
\(484\) | 49.9634 | − | 32.3104i | 2.27106 | − | 1.46866i | ||||
\(485\) | 8.60120 | + | 43.2411i | 0.390560 | + | 1.96348i | ||||
\(486\) | −2.56515 | − | 21.8957i | −0.116358 | − | 0.993207i | ||||
\(487\) | −36.0842 | + | 14.9465i | −1.63513 | + | 0.677293i | −0.995793 | − | 0.0916345i | \(-0.970791\pi\) |
−0.639336 | + | 0.768927i | \(0.720791\pi\) | |||||||
\(488\) | −31.3114 | + | 21.3872i | −1.41740 | + | 0.968155i | ||||
\(489\) | −6.08907 | − | 26.2755i | −0.275357 | − | 1.18822i | ||||
\(490\) | 32.4213 | − | 9.56980i | 1.46465 | − | 0.432319i | ||||
\(491\) | −6.39424 | + | 3.15329i | −0.288568 | + | 0.142306i | −0.580812 | − | 0.814038i | \(-0.697265\pi\) |
0.292244 | + | 0.956344i | \(0.405598\pi\) | |||||||
\(492\) | 7.42672 | − | 11.5185i | 0.334822 | − | 0.519292i | ||||
\(493\) | 26.2909 | − | 8.92454i | 1.18408 | − | 0.401941i | ||||
\(494\) | −3.62245 | − | 2.29046i | −0.162982 | − | 0.103053i | ||||
\(495\) | −61.9634 | + | 30.3485i | −2.78505 | + | 1.36407i | ||||
\(496\) | −7.29762 | + | 8.94142i | −0.327673 | + | 0.401482i | ||||
\(497\) | −0.110410 | − | 0.0295842i | −0.00495255 | − | 0.00132703i | ||||
\(498\) | 22.7458 | − | 7.49711i | 1.01927 | − | 0.335953i | ||||
\(499\) | 17.7266 | − | 20.2133i | 0.793552 | − | 0.904873i | −0.203694 | − | 0.979035i | \(-0.565295\pi\) |
0.997246 | + | 0.0741616i | \(0.0236281\pi\) | |||||||
\(500\) | 5.86851 | − | 20.6563i | 0.262448 | − | 0.923779i | ||||
\(501\) | −8.82756 | + | 16.4615i | −0.394386 | + | 0.735447i | ||||
\(502\) | −24.2073 | + | 14.8023i | −1.08043 | + | 0.660661i | ||||
\(503\) | −11.2364 | + | 27.1270i | −0.501005 | + | 1.20953i | 0.447933 | + | 0.894067i | \(0.352160\pi\) |
−0.948937 | + | 0.315465i | \(0.897840\pi\) | |||||||
\(504\) | 1.61222 | − | 4.86915i | 0.0718140 | − | 0.216889i | ||||
\(505\) | 11.2363 | + | 27.1267i | 0.500007 | + | 1.20712i | ||||
\(506\) | 17.5855 | − | 24.1556i | 0.781770 | − | 1.07385i | ||||
\(507\) | −4.07634 | + | 17.3760i | −0.181037 | + | 0.771696i | ||||
\(508\) | 16.3782 | − | 13.9341i | 0.726667 | − | 0.618224i | ||||
\(509\) | −1.89246 | − | 28.8734i | −0.0838820 | − | 1.27979i | −0.807614 | − | 0.589711i | \(-0.799242\pi\) |
0.723732 | − | 0.690081i | \(-0.242425\pi\) | |||||||
\(510\) | −27.9089 | + | 13.4571i | −1.23583 | + | 0.595891i | ||||
\(511\) | −1.91701 | − | 3.32037i | −0.0848037 | − | 0.146884i | ||||
\(512\) | 22.6168 | − | 0.693042i | 0.999531 | − | 0.0306284i | ||||
\(513\) | −9.18948 | + | 2.74687i | −0.405726 | + | 0.121277i | ||||
\(514\) | 1.87220 | − | 10.8333i | 0.0825794 | − | 0.477836i | ||||
\(515\) | 32.0798 | + | 15.8200i | 1.41360 | + | 0.697112i | ||||
\(516\) | 6.41299 | + | 22.4573i | 0.282316 | + | 0.988628i | ||||
\(517\) | −2.26111 | + | 6.66100i | −0.0994433 | + | 0.292951i | ||||
\(518\) | −8.62087 | − | 0.914455i | −0.378779 | − | 0.0401789i | ||||
\(519\) | 10.6938 | + | 0.364582i | 0.469407 | + | 0.0160034i | ||||
\(520\) | −16.7297 | + | 0.170834i | −0.733648 | + | 0.00749159i | ||||
\(521\) | −2.98459 | + | 7.20543i | −0.130757 | + | 0.315675i | −0.975676 | − | 0.219220i | \(-0.929649\pi\) |
0.844918 | + | 0.534895i | \(0.179649\pi\) | |||||||
\(522\) | 24.7205 | − | 22.6837i | 1.08199 | − | 0.992840i | ||||
\(523\) | −9.45030 | + | 14.1434i | −0.413233 | + | 0.618447i | −0.978447 | − | 0.206498i | \(-0.933793\pi\) |
0.565214 | + | 0.824944i | \(0.308793\pi\) | |||||||
\(524\) | 13.2663 | + | 13.6707i | 0.579543 | + | 0.597206i | ||||
\(525\) | 8.31370 | + | 0.830200i | 0.362839 | + | 0.0362329i | ||||
\(526\) | 2.37307 | − | 7.61673i | 0.103471 | − | 0.332105i | ||||
\(527\) | 2.62190 | + | 9.78506i | 0.114212 | + | 0.426244i | ||||
\(528\) | 24.5214 | − | 36.8064i | 1.06716 | − | 1.60179i | ||||
\(529\) | −3.11778 | + | 11.6357i | −0.135556 | + | 0.505901i | ||||
\(530\) | −3.17036 | − | 2.00460i | −0.137712 | − | 0.0870745i | ||||
\(531\) | 26.0422 | − | 14.9415i | 1.13013 | − | 0.648407i | ||||
\(532\) | −2.20780 | − | 0.324444i | −0.0957204 | − | 0.0140664i | ||||
\(533\) | 0.424834 | − | 6.48171i | 0.0184016 | − | 0.280754i | ||||
\(534\) | 11.9112 | − | 4.81059i | 0.515447 | − | 0.208175i | ||||
\(535\) | 4.35605 | − | 3.34252i | 0.188329 | − | 0.144510i | ||||
\(536\) | 24.6405 | + | 11.8401i | 1.06431 | + | 0.511414i | ||||
\(537\) | −34.4944 | − | 21.5149i | −1.48854 | − | 0.928435i | ||||
\(538\) | −20.1299 | + | 3.16847i | −0.867862 | + | 0.136602i | ||||
\(539\) | 8.26259 | + | 41.5388i | 0.355895 | + | 1.78920i | ||||
\(540\) | −24.3002 | + | 28.4843i | −1.04572 | + | 1.22577i | ||||
\(541\) | −17.1245 | − | 25.6286i | −0.736239 | − | 1.10186i | −0.990870 | − | 0.134822i | \(-0.956954\pi\) |
0.254631 | − | 0.967038i | \(-0.418046\pi\) | |||||||
\(542\) | −8.73838 | + | 18.9073i | −0.375346 | + | 0.812137i | ||||
\(543\) | 32.0514 | − | 22.9020i | 1.37546 | − | 0.982821i | ||||
\(544\) | 11.1132 | − | 16.4605i | 0.476473 | − | 0.705737i | ||||
\(545\) | 33.1066 | + | 19.1141i | 1.41813 | + | 0.818757i | ||||
\(546\) | −0.453118 | − | 2.38837i | −0.0193917 | − | 0.102213i | ||||
\(547\) | −12.1924 | + | 24.7238i | −0.521310 | + | 1.05711i | 0.463920 | + | 0.885877i | \(0.346442\pi\) |
−0.985230 | + | 0.171235i | \(0.945224\pi\) | |||||||
\(548\) | 23.0841 | − | 25.5388i | 0.986106 | − | 1.09096i | ||||
\(549\) | 15.2903 | + | 37.1988i | 0.652574 | + | 1.58760i | ||||
\(550\) | 67.2330 | + | 25.8824i | 2.86683 | + | 1.10363i | ||||
\(551\) | −11.5805 | − | 8.88599i | −0.493344 | − | 0.378556i | ||||
\(552\) | 3.54181 | − | 15.8224i | 0.150749 | − | 0.673444i | ||||
\(553\) | 2.25318 | − | 1.72893i | 0.0958150 | − | 0.0735214i | ||||
\(554\) | 0.417038 | + | 1.41287i | 0.0177182 | + | 0.0600272i | ||||
\(555\) | 55.7705 | + | 29.9071i | 2.36732 | + | 1.26949i | ||||
\(556\) | −3.85846 | − | 1.66651i | −0.163635 | − | 0.0706756i | ||||
\(557\) | 1.46802 | − | 7.38024i | 0.0622020 | − | 0.312711i | −0.937141 | − | 0.348951i | \(-0.886538\pi\) |
0.999343 | + | 0.0362400i | \(0.0115381\pi\) | |||||||
\(558\) | 7.66888 | + | 9.54165i | 0.324650 | + | 0.403930i | ||||
\(559\) | 7.82712 | + | 7.82712i | 0.331052 | + | 0.331052i | ||||
\(560\) | −7.92494 | + | 3.61663i | −0.334890 | + | 0.152830i | ||||
\(561\) | −13.6248 | − | 36.3496i | −0.575241 | − | 1.53468i | ||||
\(562\) | −17.1205 | − | 5.33407i | −0.722185 | − | 0.225004i | ||||
\(563\) | −13.7007 | + | 15.6227i | −0.577416 | + | 0.658417i | −0.964641 | − | 0.263569i | \(-0.915100\pi\) |
0.387225 | + | 0.921985i | \(0.373434\pi\) | |||||||
\(564\) | 0.311942 | + | 3.80445i | 0.0131351 | + | 0.160196i | ||||
\(565\) | 66.8899 | + | 4.38420i | 2.81408 | + | 0.184445i | ||||
\(566\) | −20.5893 | + | 0.519379i | −0.865433 | + | 0.0218311i | ||||
\(567\) | −4.69659 | − | 2.74562i | −0.197238 | − | 0.115305i | ||||
\(568\) | −0.530959 | − | 0.0643936i | −0.0222785 | − | 0.00270190i | ||||
\(569\) | −17.4941 | + | 22.7988i | −0.733393 | + | 0.955776i | −0.999968 | − | 0.00803819i | \(-0.997441\pi\) |
0.266575 | + | 0.963814i | \(0.414108\pi\) | |||||||
\(570\) | 14.0344 | + | 8.26942i | 0.587838 | + | 0.346368i | ||||
\(571\) | 7.98564 | − | 23.5249i | 0.334189 | − | 0.984488i | −0.641839 | − | 0.766840i | \(-0.721828\pi\) |
0.976027 | − | 0.217648i | \(-0.0698385\pi\) | |||||||
\(572\) | 1.68472 | − | 20.8937i | 0.0704418 | − | 0.873608i | ||||
\(573\) | −2.56001 | − | 15.6375i | −0.106946 | − | 0.653266i | ||||
\(574\) | −1.16755 | − | 3.17417i | −0.0487327 | − | 0.132487i | ||||
\(575\) | 26.4116 | 1.10144 | ||||||||
\(576\) | 4.26451 | − | 23.6181i | 0.177688 | − | 0.984087i | ||||
\(577\) | −11.6077 | −0.483235 | −0.241618 | − | 0.970372i | \(-0.577678\pi\) | ||||
−0.241618 | + | 0.970372i | \(0.577678\pi\) | |||||||
\(578\) | 2.28162 | + | 6.20294i | 0.0949030 | + | 0.258008i | ||||
\(579\) | 20.0682 | − | 16.4241i | 0.834005 | − | 0.682562i | ||||
\(580\) | −56.7974 | − | 4.57976i | −2.35838 | − | 0.190164i | ||||
\(581\) | 1.89975 | − | 5.59650i | 0.0788151 | − | 0.232182i | ||||
\(582\) | −26.0908 | + | 14.7569i | −1.08150 | + | 0.611694i | ||||
\(583\) | 2.86087 | − | 3.72836i | 0.118485 | − | 0.154413i | ||||
\(584\) | −11.0660 | − | 14.1205i | −0.457913 | − | 0.584312i | ||||
\(585\) | −3.50912 | + | 17.3951i | −0.145084 | + | 0.719198i | ||||
\(586\) | −5.58849 | + | 0.140973i | −0.230858 | + | 0.00582355i | ||||
\(587\) | −0.183263 | − | 0.0120117i | −0.00756408 | − | 0.000495776i | 0.0616206 | − | 0.998100i | \(-0.480373\pi\) |
−0.0691847 | + | 0.997604i | \(0.522040\pi\) | |||||||
\(588\) | 13.0796 | + | 18.8982i | 0.539393 | + | 0.779348i | ||||
\(589\) | 3.51160 | − | 4.00421i | 0.144693 | − | 0.164991i | ||||
\(590\) | −48.6840 | − | 15.1680i | −2.00429 | − | 0.624457i | ||||
\(591\) | −3.49284 | − | 0.581532i | −0.143676 | − | 0.0239210i | ||||
\(592\) | −40.5393 | + | 1.43696i | −1.66615 | + | 0.0590589i | ||||
\(593\) | −5.33755 | − | 5.33755i | −0.219187 | − | 0.219187i | 0.588969 | − | 0.808156i | \(-0.299534\pi\) |
−0.808156 | + | 0.588969i | \(0.799534\pi\) | |||||||
\(594\) | −32.7842 | − | 33.5516i | −1.34515 | − | 1.37664i | ||||
\(595\) | −1.49167 | + | 7.49914i | −0.0611526 | + | 0.307435i | ||||
\(596\) | −1.45304 | + | 3.36421i | −0.0595187 | + | 0.137804i | ||||
\(597\) | 1.42377 | + | 45.3711i | 0.0582711 | + | 1.85692i | ||||
\(598\) | −2.17549 | − | 7.37030i | −0.0889624 | − | 0.301394i | ||||
\(599\) | 37.5631 | − | 28.8232i | 1.53479 | − | 1.17768i | 0.612941 | − | 0.790129i | \(-0.289986\pi\) |
0.921846 | − | 0.387555i | \(-0.126680\pi\) | |||||||
\(600\) | 39.0608 | − | 1.62514i | 1.59465 | − | 0.0663460i | ||||
\(601\) | −31.5101 | − | 24.1785i | −1.28532 | − | 0.986263i | −0.999609 | − | 0.0279474i | \(-0.991103\pi\) |
−0.285713 | − | 0.958315i | \(-0.592230\pi\) | |||||||
\(602\) | 5.37865 | + | 2.07059i | 0.219217 | + | 0.0843911i | ||||
\(603\) | 17.7138 | − | 22.9560i | 0.721361 | − | 0.934841i | ||||
\(604\) | 20.0936 | + | 18.1624i | 0.817599 | + | 0.739016i | ||||
\(605\) | −47.4063 | + | 96.1304i | −1.92734 | + | 3.90826i | ||||
\(606\) | −15.1247 | + | 13.0288i | −0.614400 | + | 0.529259i | ||||
\(607\) | 1.40029 | + | 0.808456i | 0.0568359 | + | 0.0328142i | 0.528149 | − | 0.849152i | \(-0.322886\pi\) |
−0.471313 | + | 0.881966i | \(0.656220\pi\) | |||||||
\(608\) | −10.4415 | − | 0.0501005i | −0.423459 | − | 0.00203184i | ||||
\(609\) | −0.800370 | − | 8.24071i | −0.0324326 | − | 0.333931i | ||||
\(610\) | 28.6567 | − | 62.0045i | 1.16027 | − | 2.51049i | ||||
\(611\) | 1.00513 | + | 1.50429i | 0.0406633 | + | 0.0608569i | ||||
\(612\) | −14.6293 | − | 15.1571i | −0.591355 | − | 0.612691i | ||||
\(613\) | −5.31886 | − | 26.7397i | −0.214827 | − | 1.08001i | −0.926154 | − | 0.377146i | \(-0.876905\pi\) |
0.711327 | − | 0.702861i | \(-0.248095\pi\) | |||||||
\(614\) | −8.03790 | + | 1.26517i | −0.324383 | + | 0.0510582i | ||||
\(615\) | −0.841208 | + | 24.6741i | −0.0339208 | + | 0.994956i | ||||
\(616\) | −3.61356 | − | 10.2985i | −0.145594 | − | 0.414939i | ||||
\(617\) | −8.29949 | + | 6.36842i | −0.334125 | + | 0.256383i | −0.762174 | − | 0.647373i | \(-0.775868\pi\) |
0.428049 | + | 0.903756i | \(0.359201\pi\) | |||||||
\(618\) | −3.38767 | + | 24.0814i | −0.136272 | + | 0.968694i | ||||
\(619\) | −1.18381 | + | 18.0614i | −0.0475812 | + | 0.725948i | 0.905710 | + | 0.423897i | \(0.139338\pi\) |
−0.953292 | + | 0.302052i | \(0.902329\pi\) | |||||||
\(620\) | 3.02280 | − | 20.5698i | 0.121398 | − | 0.826102i | ||||
\(621\) | −15.6356 | − | 7.16112i | −0.627434 | − | 0.287366i | ||||
\(622\) | 14.5508 | + | 9.20042i | 0.583435 | + | 0.368903i | ||||
\(623\) | 0.820471 | − | 3.06204i | 0.0328715 | − | 0.122678i | ||||
\(624\) | −3.67090 | − | 10.7663i | −0.146954 | − | 0.430996i | ||||
\(625\) | −0.315223 | − | 1.17643i | −0.0126089 | − | 0.0470571i | ||||
\(626\) | −0.526380 | + | 1.68949i | −0.0210384 | + | 0.0675257i | ||||
\(627\) | −11.9102 | + | 16.5731i | −0.475646 | + | 0.661868i | ||||
\(628\) | 12.1601 | − | 11.8004i | 0.485240 | − | 0.470888i | ||||
\(629\) | −19.7810 | + | 29.6044i | −0.788721 | + | 1.18040i | ||||
\(630\) | 2.00608 | + | 9.01919i | 0.0799241 | + | 0.359333i | ||||
\(631\) | −3.01843 | + | 7.28714i | −0.120162 | + | 0.290097i | −0.972503 | − | 0.232889i | \(-0.925182\pi\) |
0.852341 | + | 0.522986i | \(0.175182\pi\) | |||||||
\(632\) | 9.30041 | − | 9.49231i | 0.369950 | − | 0.377584i | ||||
\(633\) | 8.49011 | + | 15.9358i | 0.337452 | + | 0.633390i | ||||
\(634\) | −4.62217 | − | 0.490295i | −0.183570 | − | 0.0194721i | ||||
\(635\) | −12.4515 | + | 36.6808i | −0.494121 | + | 1.45563i | ||||
\(636\) | 0.619655 | − | 2.47379i | 0.0245709 | − | 0.0980921i | ||||
\(637\) | 9.76953 | + | 4.81780i | 0.387083 | + | 0.190888i | ||||
\(638\) | 12.1576 | − | 70.3486i | 0.481325 | − | 2.78513i | ||||
\(639\) | −0.183805 | + | 0.536691i | −0.00727122 | + | 0.0212312i | ||||
\(640\) | −34.3334 | + | 21.9699i | −1.35715 | + | 0.868437i | ||||
\(641\) | −8.57017 | − | 14.8440i | −0.338501 | − | 0.586301i | 0.645650 | − | 0.763634i | \(-0.276587\pi\) |
−0.984151 | + | 0.177332i | \(0.943253\pi\) | |||||||
\(642\) | 3.08541 | + | 2.10138i | 0.121771 | + | 0.0829349i | ||||
\(643\) | 1.02285 | + | 15.6056i | 0.0403371 | + | 0.615425i | 0.969397 | + | 0.245497i | \(0.0789511\pi\) |
−0.929060 | + | 0.369928i | \(0.879382\pi\) | |||||||
\(644\) | −2.59272 | − | 3.04751i | −0.102168 | − | 0.120089i | ||||
\(645\) | −30.6677 | − | 28.8015i | −1.20754 | − | 1.13406i | ||||
\(646\) | −5.39412 | + | 7.40940i | −0.212229 | + | 0.291519i | ||||
\(647\) | 13.1701 | + | 31.7954i | 0.517769 | + | 1.25001i | 0.939271 | + | 0.343177i | \(0.111503\pi\) |
−0.421502 | + | 0.906828i | \(0.638497\pi\) | |||||||
\(648\) | −23.5646 | − | 9.62871i | −0.925703 | − | 0.378251i | ||||
\(649\) | 24.4485 | − | 59.0240i | 0.959689 | − | 2.31689i | ||||
\(650\) | 15.8079 | − | 9.66624i | 0.620037 | − | 0.379141i | ||||
\(651\) | 3.01942 | − | 0.0947511i | 0.118340 | − | 0.00371359i | ||||
\(652\) | −29.9588 | − | 8.51135i | −1.17328 | − | 0.333330i | ||||
\(653\) | 8.22938 | − | 9.38381i | 0.322040 | − | 0.367217i | −0.568055 | − | 0.822990i | \(-0.692304\pi\) |
0.890096 | + | 0.455774i | \(0.150637\pi\) | |||||||
\(654\) | −5.29618 | + | 25.4454i | −0.207097 | + | 0.994996i | ||||
\(655\) | −33.1464 | − | 8.88156i | −1.29514 | − | 0.347031i | ||||
\(656\) | −7.49776 | − | 13.9365i | −0.292738 | − | 0.544128i | ||||
\(657\) | −17.0887 | + | 8.36973i | −0.666693 | + | 0.326534i | ||||
\(658\) | 0.796189 | + | 0.503427i | 0.0310387 | + | 0.0196256i | ||||
\(659\) | 9.51696 | − | 3.23057i | 0.370728 | − | 0.125845i | −0.129857 | − | 0.991533i | \(-0.541452\pi\) |
0.500585 | + | 0.865688i | \(0.333118\pi\) | |||||||
\(660\) | −3.90934 | + | 79.5741i | −0.152171 | + | 3.09742i | ||||
\(661\) | −39.0662 | + | 19.2653i | −1.51950 | + | 0.749334i | −0.994790 | − | 0.101946i | \(-0.967493\pi\) |
−0.524710 | + | 0.851281i | \(0.675826\pi\) | |||||||
\(662\) | 3.23355 | − | 0.954448i | 0.125676 | − | 0.0370957i | ||||
\(663\) | −9.55025 | − | 2.91117i | −0.370901 | − | 0.113060i | ||||
\(664\) | 5.11790 | − | 27.1768i | 0.198613 | − | 1.05467i | ||||
\(665\) | 3.71386 | − | 1.53833i | 0.144017 | − | 0.0596539i | ||||
\(666\) | −7.44186 | + | 42.3769i | −0.288366 | + | 1.64207i | ||||
\(667\) | −5.10604 | − | 25.6698i | −0.197707 | − | 0.993939i | ||||
\(668\) | 11.7124 | + | 18.1116i | 0.453168 | + | 0.700758i | ||||
\(669\) | 6.30150 | − | 1.03162i | 0.243630 | − | 0.0398846i | ||||
\(670\) | −49.0435 | + | 4.45901i | −1.89472 | + | 0.172266i | ||||
\(671\) | 74.1143 | + | 42.7899i | 2.86115 | + | 1.65189i | ||||
\(672\) | −4.02197 | − | 4.34752i | −0.155151 | − | 0.167709i | ||||
\(673\) | 4.08641 | − | 2.35929i | 0.157520 | − | 0.0909440i | −0.419168 | − | 0.907909i | \(-0.637678\pi\) |
0.576688 | + | 0.816965i | \(0.304345\pi\) | |||||||
\(674\) | 18.1110 | − | 12.7736i | 0.697611 | − | 0.492020i | ||||
\(675\) | 6.92084 | − | 40.8845i | 0.266383 | − | 1.57364i | ||||
\(676\) | 15.2888 | + | 13.8194i | 0.588032 | + | 0.531514i | ||||
\(677\) | 23.3175 | − | 20.4489i | 0.896163 | − | 0.785914i | −0.0813725 | − | 0.996684i | \(-0.525930\pi\) |
0.977536 | + | 0.210770i | \(0.0675970\pi\) | |||||||
\(678\) | 11.4052 | + | 44.1249i | 0.438015 | + | 1.69461i | ||||
\(679\) | −0.965512 | + | 7.33379i | −0.0370530 | + | 0.281445i | ||||
\(680\) | −1.97528 | + | 35.7226i | −0.0757486 | + | 1.36990i | ||||
\(681\) | 12.8846 | − | 12.0350i | 0.493740 | − | 0.461184i | ||||
\(682\) | 25.3227 | + | 6.10515i | 0.969657 | + | 0.233778i | ||||
\(683\) | −13.4132 | − | 8.96240i | −0.513241 | − | 0.342937i | 0.271827 | − | 0.962346i | \(-0.412372\pi\) |
−0.785068 | + | 0.619409i | \(0.787372\pi\) | |||||||
\(684\) | −2.35274 | + | 10.8222i | −0.0899593 | + | 0.413798i | ||||
\(685\) | −12.0983 | + | 60.8223i | −0.462252 | + | 2.32390i | ||||
\(686\) | 11.6462 | + | 0.468773i | 0.444653 | + | 0.0178978i | ||||
\(687\) | −4.51892 | − | 3.71884i | −0.172407 | − | 0.141882i | ||||
\(688\) | 26.2801 | + | 6.05270i | 1.00192 | + | 0.230757i | ||||
\(689\) | −0.312831 | − | 1.16750i | −0.0119179 | − | 0.0444783i | ||||
\(690\) | 9.14313 | + | 27.7398i | 0.348073 | + | 1.05604i | ||||
\(691\) | 6.74088 | + | 19.8580i | 0.256435 | + | 0.755434i | 0.996553 | + | 0.0829566i | \(0.0264363\pi\) |
−0.740118 | + | 0.672477i | \(0.765230\pi\) | |||||||
\(692\) | 6.33757 | − | 10.6061i | 0.240918 | − | 0.403184i | ||||
\(693\) | −11.4811 | + | 1.47989i | −0.436132 | + | 0.0562163i | ||||
\(694\) | 34.6933 | − | 0.875161i | 1.31694 | − | 0.0332207i | ||||
\(695\) | 7.50645 | − | 0.988244i | 0.284736 | − | 0.0374862i | ||||
\(696\) | −9.13097 | − | 37.6496i | −0.346109 | − | 1.42711i | ||||
\(697\) | −13.7715 | − | 1.81306i | −0.521634 | − | 0.0686745i | ||||
\(698\) | −0.952554 | + | 8.98004i | −0.0360547 | + | 0.339899i | ||||
\(699\) | −16.7678 | − | 15.7474i | −0.634216 | − | 0.595623i | ||||
\(700\) | 5.47970 | − | 7.94032i | 0.207113 | − | 0.300116i | ||||
\(701\) | 9.51404 | − | 6.35708i | 0.359340 | − | 0.240103i | −0.362774 | − | 0.931877i | \(-0.618170\pi\) |
0.722114 | + | 0.691774i | \(0.243170\pi\) | |||||||
\(702\) | −11.9791 | + | 1.43631i | −0.452122 | + | 0.0542099i | ||||
\(703\) | 18.7190 | 0.705999 | ||||||||
\(704\) | −23.5177 | − | 45.3313i | −0.886357 | − | 1.70849i | ||||
\(705\) | −3.99774 | − | 5.59483i | −0.150564 | − | 0.210713i | ||||
\(706\) | −9.33863 | + | 11.2066i | −0.351464 | + | 0.421765i | ||||
\(707\) | 0.322194 | + | 4.91574i | 0.0121174 | + | 0.184875i | ||||
\(708\) | −0.567193 | − | 34.6642i | −0.0213164 | − | 1.30276i | ||||
\(709\) | −16.9546 | − | 19.3330i | −0.636744 | − | 0.726067i | 0.340012 | − | 0.940421i | \(-0.389569\pi\) |
−0.976756 | + | 0.214354i | \(0.931235\pi\) | |||||||
\(710\) | 0.880556 | − | 0.391036i | 0.0330467 | − | 0.0146753i | ||||
\(711\) | −7.79913 | − | 11.7410i | −0.292490 | − | 0.440321i | ||||
\(712\) | 1.78586 | − | 14.7253i | 0.0669278 | − | 0.551855i | ||||
\(713\) | 9.46783 | − | 1.24646i | 0.354573 | − | 0.0466804i | ||||
\(714\) | −5.15978 | + | 0.632847i | −0.193100 | + | 0.0236837i | ||||
\(715\) | 16.7008 | + | 33.8659i | 0.624575 | + | 1.26651i | ||||
\(716\) | −41.0018 | + | 22.8588i | −1.53231 | + | 0.854275i | ||||
\(717\) | −22.3800 | − | 2.23485i | −0.835795 | − | 0.0834619i | ||||
\(718\) | −35.6696 | + | 32.9092i | −1.33118 | + | 1.22816i | ||||
\(719\) | −7.18948 | + | 7.18948i | −0.268122 | + | 0.268122i | −0.828343 | − | 0.560221i | \(-0.810716\pi\) |
0.560221 | + | 0.828343i | \(0.310716\pi\) | |||||||
\(720\) | 15.2289 | + | 40.4626i | 0.567548 | + | 1.50795i | ||||
\(721\) | 4.24349 | + | 4.24349i | 0.158036 | + | 0.158036i | ||||
\(722\) | −22.0338 | − | 0.886890i | −0.820015 | − | 0.0330066i | ||||
\(723\) | −3.34205 | − | 2.40174i | −0.124292 | − | 0.0893217i | ||||
\(724\) | −5.25971 | − | 45.1818i | −0.195475 | − | 1.67917i | ||||
\(725\) | 56.5989 | − | 27.9115i | 2.10203 | − | 1.03661i | ||||
\(726\) | −72.1623 | − | 10.1515i | −2.67819 | − | 0.376758i | ||||
\(727\) | 3.98935 | + | 30.3021i | 0.147957 | + | 1.12384i | 0.890806 | + | 0.454385i | \(0.150141\pi\) |
−0.742849 | + | 0.669459i | \(0.766526\pi\) | |||||||
\(728\) | −2.66715 | − | 0.875106i | −0.0988511 | − | 0.0324336i | ||||
\(729\) | −15.1824 | + | 22.3270i | −0.562310 | + | 0.826927i | ||||
\(730\) | 30.1595 | + | 11.6104i | 1.11625 | + | 0.429719i | ||||
\(731\) | 17.7966 | − | 15.6072i | 0.658229 | − | 0.577252i | ||||
\(732\) | 46.1362 | + | 5.30761i | 1.70524 | + | 0.196175i | ||||
\(733\) | 42.0290 | − | 2.75473i | 1.55238 | − | 0.101748i | 0.735087 | − | 0.677973i | \(-0.237141\pi\) |
0.817291 | + | 0.576225i | \(0.195475\pi\) | |||||||
\(734\) | −2.84509 | − | 31.2925i | −0.105014 | − | 1.15503i | ||||
\(735\) | −37.6879 | − | 17.1378i | −1.39014 | − | 0.632136i | ||||
\(736\) | −14.0167 | − | 12.4118i | −0.516663 | − | 0.457506i | ||||
\(737\) | − | 61.6991i | − | 2.27272i | ||||||
\(738\) | −16.1115 | + | 4.70821i | −0.593071 | + | 0.173311i | ||||
\(739\) | −11.4631 | − | 17.1558i | −0.421678 | − | 0.631086i | 0.558430 | − | 0.829552i | \(-0.311404\pi\) |
−0.980108 | + | 0.198466i | \(0.936404\pi\) | |||||||
\(740\) | 61.3607 | − | 39.6809i | 2.25566 | − | 1.45870i | ||||
\(741\) | 1.51691 | + | 5.02509i | 0.0557252 | + | 0.184601i | ||||
\(742\) | −0.395581 | − | 0.489461i | −0.0145222 | − | 0.0179687i | ||||
\(743\) | −2.05515 | + | 15.6104i | −0.0753963 | + | 0.572692i | 0.911496 | + | 0.411310i | \(0.134928\pi\) |
−0.986892 | + | 0.161382i | \(0.948405\pi\) | |||||||
\(744\) | 13.9256 | − | 2.42600i | 0.510535 | − | 0.0889414i | ||||
\(745\) | −0.861655 | − | 6.54492i | −0.0315686 | − | 0.239787i | ||||
\(746\) | −13.2426 | − | 12.5909i | −0.484847 | − | 0.460987i | ||||
\(747\) | −27.0688 | − | 11.2983i | −0.990395 | − | 0.413382i | ||||
\(748\) | −44.3482 | − | 6.51712i | −1.62153 | − | 0.238289i | ||||
\(749\) | 0.872331 | − | 0.296117i | 0.0318743 | − | 0.0108199i | ||||
\(750\) | −21.9962 | + | 14.4171i | −0.803186 | + | 0.526439i | ||||
\(751\) | −43.5874 | + | 11.6792i | −1.59053 | + | 0.426180i | −0.942164 | − | 0.335153i | \(-0.891212\pi\) |
−0.648361 | + | 0.761333i | \(0.724545\pi\) | |||||||
\(752\) | 4.01977 | + | 1.80824i | 0.146586 | + | 0.0659396i | ||||
\(753\) | 34.2795 | + | 5.70728i | 1.24921 | + | 0.207985i | ||||
\(754\) | −12.4509 | − | 13.4952i | −0.453433 | − | 0.491467i | ||||
\(755\) | −47.8543 | − | 9.51882i | −1.74160 | − | 0.346425i | ||||
\(756\) | −5.39687 | + | 3.21491i | −0.196282 | + | 0.116925i | ||||
\(757\) | 3.41871 | − | 5.11647i | 0.124255 | − | 0.185961i | −0.764127 | − | 0.645066i | \(-0.776830\pi\) |
0.888382 | + | 0.459105i | \(0.151830\pi\) | |||||||
\(758\) | 12.5456 | − | 7.67142i | 0.455678 | − | 0.278639i | ||||
\(759\) | −35.6491 | + | 8.26131i | −1.29398 | + | 0.299867i | ||||
\(760\) | 16.1926 | − | 9.57060i | 0.587369 | − | 0.347162i | ||||
\(761\) | −51.1565 | − | 6.73488i | −1.85442 | − | 0.244139i | −0.880993 | − | 0.473129i | \(-0.843124\pi\) |
−0.973429 | + | 0.228990i | \(0.926458\pi\) | |||||||
\(762\) | −26.3354 | − | 0.233318i | −0.954031 | − | 0.00845221i | ||||
\(763\) | 4.22896 | + | 4.82221i | 0.153099 | + | 0.174576i | ||||
\(764\) | −17.2358 | − | 6.14076i | −0.623568 | − | 0.222165i | ||||
\(765\) | 36.6276 | + | 9.92078i | 1.32427 | + | 0.358686i | ||||
\(766\) | 0.185936 | − | 1.07590i | 0.00671816 | − | 0.0388738i | ||||
\(767\) | −8.21572 | − | 14.2300i | −0.296652 | − | 0.513817i | ||||
\(768\) | −21.4935 | − | 17.4937i | −0.775579 | − | 0.631251i | ||||
\(769\) | 10.7369 | − | 18.5969i | 0.387182 | − | 0.670620i | −0.604887 | − | 0.796311i | \(-0.706782\pi\) |
0.992069 | + | 0.125692i | \(0.0401150\pi\) | |||||||
\(770\) | 15.1038 | + | 12.5863i | 0.544304 | + | 0.453577i | ||||
\(771\) | −10.4199 | + | 8.52780i | −0.375264 | + | 0.307121i | ||||
\(772\) | −5.40035 | − | 29.4530i | −0.194363 | − | 1.06004i | ||||
\(773\) | 36.8106 | − | 7.32208i | 1.32398 | − | 0.263357i | 0.518044 | − | 0.855354i | \(-0.326660\pi\) |
0.805940 | + | 0.591997i | \(0.201660\pi\) | |||||||
\(774\) | 12.0705 | − | 25.9324i | 0.433867 | − | 0.932120i | ||||
\(775\) | 8.81150 | + | 21.2728i | 0.316519 | + | 0.764143i | ||||
\(776\) | 0.353420 | + | 34.6103i | 0.0126871 | + | 1.24244i | ||||
\(777\) | 7.24761 | + | 7.75923i | 0.260006 | + | 0.278361i | ||||
\(778\) | 34.9879 | + | 19.0404i | 1.25438 | + | 0.682631i | ||||
\(779\) | 3.22992 | + | 6.54963i | 0.115724 | + | 0.234665i | ||||
\(780\) | 15.6247 | + | 13.2566i | 0.559455 | + | 0.474664i | ||||
\(781\) | 0.388017 | + | 1.14306i | 0.0138843 | + | 0.0409019i | ||||
\(782\) | −16.0313 | + | 3.61135i | −0.573279 | + | 0.129142i | ||||
\(783\) | −41.0742 | + | 1.17755i | −1.46787 | + | 0.0420823i | ||||
\(784\) | 26.4035 | − | 2.67269i | 0.942983 | − | 0.0954533i | ||||
\(785\) | −7.90016 | + | 29.4838i | −0.281969 | + | 1.05232i | ||||
\(786\) | −1.31960 | − | 23.2934i | −0.0470685 | − | 0.830849i | ||||
\(787\) | 36.4706 | + | 31.9839i | 1.30004 | + | 1.14010i | 0.981347 | + | 0.192242i | \(0.0615760\pi\) |
0.318689 | + | 0.947859i | \(0.396757\pi\) | |||||||
\(788\) | −2.53745 | + | 3.20606i | −0.0903928 | + | 0.114211i | ||||
\(789\) | −8.30439 | + | 5.14841i | −0.295644 | + | 0.183288i | ||||
\(790\) | −5.61080 | + | 23.2723i | −0.199623 | + | 0.827990i | ||||
\(791\) | 10.3907 | + | 4.30396i | 0.369450 | + | 0.153031i | ||||
\(792\) | −52.2142 | + | 14.4114i | −1.85535 | + | 0.512088i | ||||
\(793\) | 20.3352 | − | 8.42313i | 0.722125 | − | 0.299114i | ||||
\(794\) | −0.272562 | + | 0.0429016i | −0.00967288 | + | 0.00152252i | ||||
\(795\) | 1.32760 | + | 4.39795i | 0.0470851 | + | 0.155979i | ||||
\(796\) | 46.6571 | + | 23.8859i | 1.65372 | + | 0.846613i | ||||
\(797\) | 9.03149 | − | 0.591955i | 0.319912 | − | 0.0209681i | 0.0953984 | − | 0.995439i | \(-0.469587\pi\) |
0.224513 | + | 0.974471i | \(0.427921\pi\) | |||||||
\(798\) | 1.78374 | + | 2.07069i | 0.0631438 | + | 0.0733016i | ||||
\(799\) | 3.35049 | − | 1.93441i | 0.118532 | − | 0.0684343i | ||||
\(800\) | 20.1601 | − | 40.3909i | 0.712766 | − | 1.42803i | ||||
\(801\) | −14.8843 | − | 5.09755i | −0.525911 | − | 0.180113i | ||||
\(802\) | −34.0519 | + | 24.0165i | −1.20241 | + | 0.848053i | ||||
\(803\) | −17.9081 | + | 36.3140i | −0.631962 | + | 1.28149i | ||||
\(804\) | −13.3172 | − | 30.7191i | −0.469660 | − | 1.08338i | ||||
\(805\) | 6.82523 | + | 2.31685i | 0.240558 | + | 0.0816584i | ||||
\(806\) | 5.21052 | − | 4.21112i | 0.183533 | − | 0.148330i | ||||
\(807\) | 21.1761 | + | 13.2080i | 0.745435 | + | 0.464943i | ||||
\(808\) | 4.72762 | + | 22.5609i | 0.166317 | + | 0.793688i | ||||
\(809\) | 27.0877 | + | 11.2201i | 0.952351 | + | 0.394477i | 0.804114 | − | 0.594475i | \(-0.202640\pi\) |
0.148237 | + | 0.988952i | \(0.452640\pi\) | |||||||
\(810\) | 45.3364 | − | 6.88446i | 1.59296 | − | 0.241895i | ||||
\(811\) | −16.1062 | − | 10.7618i | −0.565565 | − | 0.377899i | 0.239670 | − | 0.970855i | \(-0.422961\pi\) |
−0.805235 | + | 0.592956i | \(0.797961\pi\) | |||||||
\(812\) | −8.77669 | − | 3.79073i | −0.308001 | − | 0.133029i | ||||
\(813\) | 23.2505 | − | 10.4967i | 0.815430 | − | 0.368136i | ||||
\(814\) | 42.5503 | + | 81.0634i | 1.49139 | + | 2.84127i | ||||
\(815\) | 54.1917 | − | 14.5206i | 1.89825 | − | 0.508635i | ||||
\(816\) | −23.4870 | + | 6.32736i | −0.822209 | + | 0.221502i | ||||
\(817\) | −12.0206 | − | 3.22091i | −0.420548 | − | 0.112685i | ||||
\(818\) | −2.80144 | − | 12.4360i | −0.0979502 | − | 0.434815i | ||||
\(819\) | −1.49564 | + | 2.57439i | −0.0522619 | + | 0.0899565i | ||||
\(820\) | 24.4717 | + | 14.6228i | 0.854590 | + | 0.510651i | ||||
\(821\) | 4.40885 | + | 0.288971i | 0.153870 | + | 0.0100852i | 0.142143 | − | 0.989846i | \(-0.454601\pi\) |
0.0117265 | + | 0.999931i | \(0.496267\pi\) | |||||||
\(822\) | −41.8487 | + | 5.13274i | −1.45964 | + | 0.179025i | ||||
\(823\) | −24.6345 | − | 32.1043i | −0.858706 | − | 1.11909i | −0.991777 | − | 0.127981i | \(-0.959150\pi\) |
0.133071 | − | 0.991107i | \(-0.457516\pi\) | |||||||
\(824\) | 22.4512 | + | 16.8660i | 0.782124 | + | 0.587555i | ||||
\(825\) | −41.4878 | − | 77.8719i | −1.44442 | − | 2.71115i | ||||
\(826\) | −6.91663 | − | 5.03538i | −0.240660 | − | 0.175203i | ||||
\(827\) | 14.8458 | − | 2.95301i | 0.516238 | − | 0.102686i | 0.0699061 | − | 0.997554i | \(-0.477730\pi\) |
0.446332 | + | 0.894867i | \(0.352730\pi\) | |||||||
\(828\) | −15.9661 | + | 11.8077i | −0.554859 | + | 0.410346i | ||||
\(829\) | 42.8724 | − | 28.6464i | 1.48902 | − | 0.994932i | 0.497153 | − | 0.867663i | \(-0.334379\pi\) |
0.991868 | − | 0.127270i | \(-0.0406213\pi\) | |||||||
\(830\) | 17.1976 | + | 46.7542i | 0.596937 | + | 1.62286i | ||||
\(831\) | 0.746838 | − | 1.64238i | 0.0259075 | − | 0.0569737i | ||||
\(832\) | −12.9319 | − | 2.29884i | −0.448332 | − | 0.0796978i | ||||
\(833\) | 11.6468 | − | 20.1728i | 0.403537 | − | 0.698947i | ||||
\(834\) | 2.23572 | + | 4.63670i | 0.0774167 | + | 0.160556i | ||||
\(835\) | −34.8470 | − | 17.1846i | −1.20593 | − | 0.594699i | ||||
\(836\) | 10.1046 | + | 21.2899i | 0.349476 | + | 0.736325i | ||||
\(837\) | 0.551440 | − | 14.9826i | 0.0190606 | − | 0.517874i | ||||
\(838\) | 28.7019 | − | 12.7459i | 0.991492 | − | 0.440301i | ||||
\(839\) | −13.0558 | + | 17.0147i | −0.450736 | + | 0.587411i | −0.962353 | − | 0.271803i | \(-0.912380\pi\) |
0.511617 | + | 0.859214i | \(0.329047\pi\) | |||||||
\(840\) | 10.2366 | + | 3.00650i | 0.353196 | + | 0.103734i | ||||
\(841\) | −20.4156 | − | 26.6061i | −0.703986 | − | 0.917452i | ||||
\(842\) | 19.2506 | − | 35.3743i | 0.663421 | − | 1.21908i | ||||
\(843\) | 11.5723 | + | 18.6662i | 0.398573 | + | 0.642898i | ||||
\(844\) | 20.8473 | + | 0.312925i | 0.717593 | + | 0.0107713i | ||||
\(845\) | −36.4114 | − | 7.24267i | −1.25259 | − | 0.249155i | ||||
\(846\) | 2.76183 | − | 3.77215i | 0.0949535 | − | 0.129689i | ||||
\(847\) | −12.7160 | + | 12.7160i | −0.436928 | + | 0.436928i | ||||
\(848\) | −2.15470 | − | 2.00717i | −0.0739926 | − | 0.0689267i | ||||
\(849\) | 19.4772 | + | 16.0288i | 0.668457 | + | 0.550106i | ||||
\(850\) | −18.4154 | − | 35.0835i | −0.631642 | − | 1.20336i | ||||
\(851\) | 25.2346 | + | 22.1302i | 0.865032 | + | 0.758613i | ||||
\(852\) | 0.439907 | + | 0.485363i | 0.0150710 | + | 0.0166283i | ||||
\(853\) | 0.478021 | − | 7.29320i | 0.0163671 | − | 0.249714i | −0.981833 | − | 0.189746i | \(-0.939233\pi\) |
0.998200 | − | 0.0599680i | \(-0.0190999\pi\) | |||||||
\(854\) | 7.89677 | − | 8.30548i | 0.270222 | − | 0.284208i | ||||
\(855\) | −6.36168 | − | 18.9090i | −0.217565 | − | 0.646676i | ||||
\(856\) | 3.84634 | − | 1.94588i | 0.131465 | − | 0.0665088i | ||||
\(857\) | −36.3890 | − | 27.9223i | −1.24303 | − | 0.953807i | −0.243157 | − | 0.969987i | \(-0.578183\pi\) |
−0.999869 | + | 0.0161799i | \(0.994850\pi\) | |||||||
\(858\) | −18.3133 | + | 17.9916i | −0.625205 | + | 0.614225i | ||||
\(859\) | −16.9371 | − | 5.74937i | −0.577887 | − | 0.196166i | 0.0171662 | − | 0.999853i | \(-0.494536\pi\) |
−0.595053 | + | 0.803687i | \(0.702869\pi\) | |||||||
\(860\) | −46.2313 | + | 14.9234i | −1.57647 | + | 0.508884i | ||||
\(861\) | −1.46434 | + | 3.87473i | −0.0499045 | + | 0.132050i | ||||
\(862\) | 8.28823 | + | 3.83057i | 0.282298 | + | 0.130470i | ||||
\(863\) | − | 36.6324i | − | 1.24698i | −0.781831 | − | 0.623491i | \(-0.785714\pi\) | ||
0.781831 | − | 0.623491i | \(-0.214286\pi\) | |||||||
\(864\) | −22.8861 | + | 18.4452i | −0.778602 | + | 0.627518i | ||||
\(865\) | 22.2569i | 0.756757i | ||||||||
\(866\) | 22.8147 | − | 49.3643i | 0.775276 | − | 1.67747i | ||||
\(867\) | 2.86160 | − | 7.57196i | 0.0971850 | − | 0.257157i | ||||
\(868\) | 1.58959 | − | 3.10500i | 0.0539542 | − | 0.105390i | ||||
\(869\) | −28.4011 | − | 9.64087i | −0.963441 | − | 0.327044i | ||||
\(870\) | 48.9085 | + | 49.7829i | 1.65815 | + | 1.68780i | ||||
\(871\) | −12.5895 | − | 9.66025i | −0.426578 | − | 0.327325i | ||||
\(872\) | 22.7648 | + | 19.5566i | 0.770912 | + | 0.662269i | ||||
\(873\) | 35.9868 | + | 7.25962i | 1.21797 | + | 0.245701i | ||||
\(874\) | 6.26119 | + | 5.95308i | 0.211788 | + | 0.201366i | ||||
\(875\) | −0.424477 | + | 6.47626i | −0.0143499 | + | 0.218938i | ||||
\(876\) | −1.07814 | + | 21.9455i | −0.0364271 | + | 0.741470i | ||||
\(877\) | 17.6177 | + | 15.4503i | 0.594907 | + | 0.521719i | 0.903002 | − | 0.429636i | \(-0.141358\pi\) |
−0.308095 | + | 0.951356i | \(0.599691\pi\) | |||||||
\(878\) | 24.2730 | − | 12.7409i | 0.819175 | − | 0.429986i | ||||
\(879\) | 5.28664 | + | 4.35063i | 0.178314 | + | 0.146743i | ||||
\(880\) | 78.2537 | + | 48.3681i | 2.63793 | + | 1.63049i | ||||
\(881\) | 10.0915 | − | 10.0915i | 0.339991 | − | 0.339991i | −0.516373 | − | 0.856364i | \(-0.672718\pi\) |
0.856364 | + | 0.516373i | \(0.172718\pi\) | |||||||
\(882\) | 3.04498 | − | 27.9831i | 0.102530 | − | 0.942240i | ||||
\(883\) | −16.9081 | − | 3.36323i | −0.569003 | − | 0.113182i | −0.0977995 | − | 0.995206i | \(-0.531180\pi\) |
−0.471204 | + | 0.882024i | \(0.656180\pi\) | |||||||
\(884\) | −8.27341 | + | 8.02871i | −0.278265 | + | 0.270035i | ||||
\(885\) | 32.9072 | + | 53.0793i | 1.10616 | + | 1.78424i | ||||
\(886\) | 16.4968 | + | 8.97752i | 0.554220 | + | 0.301606i | ||||
\(887\) | −27.1659 | − | 35.4033i | −0.912142 | − | 1.18873i | −0.981563 | − | 0.191139i | \(-0.938782\pi\) |
0.0694210 | − | 0.997587i | \(-0.477885\pi\) | |||||||
\(888\) | 38.6819 | + | 31.1762i | 1.29808 | + | 1.04621i | ||||
\(889\) | −3.95645 | + | 5.15614i | −0.132695 | + | 0.172931i | ||||
\(890\) | 10.8448 | + | 24.4208i | 0.363518 | + | 0.818588i | ||||
\(891\) | 3.44687 | + | 57.3488i | 0.115474 | + | 1.92126i | ||||
\(892\) | 2.47456 | − | 6.94556i | 0.0828545 | − | 0.232554i | ||||
\(893\) | −1.82423 | − | 0.899612i | −0.0610457 | − | 0.0301044i | ||||
\(894\) | 4.04277 | − | 1.94934i | 0.135210 | − | 0.0651956i | ||||
\(895\) | 42.2818 | − | 73.2342i | 1.41332 | − | 2.44795i | ||||
\(896\) | −6.63957 | + | 1.63884i | −0.221812 | + | 0.0547497i | ||||
\(897\) | −3.89591 | + | 8.56756i | −0.130081 | + | 0.286062i | ||||
\(898\) | −20.7782 | + | 7.64285i | −0.693379 | + | 0.255045i | ||||
\(899\) | 18.9719 | − | 12.6766i | 0.632749 | − | 0.422790i | ||||
\(900\) | −37.4641 | − | 29.8165i | −1.24880 | − | 0.993884i | ||||
\(901\) | −2.53502 | + | 0.504247i | −0.0844537 | + | 0.0167989i | ||||
\(902\) | −21.0216 | + | 28.8754i | −0.699941 | + | 0.961445i | ||||
\(903\) | −3.31903 | − | 6.22976i | −0.110450 | − | 0.207313i | ||||
\(904\) | 50.9688 | + | 13.1007i | 1.69520 | + | 0.435724i | ||||
\(905\) | 49.8819 | + | 65.0074i | 1.65813 | + | 2.16092i | ||||
\(906\) | −4.03839 | − | 32.9261i | −0.134166 | − | 1.09390i | ||||
\(907\) | −7.90402 | − | 0.518057i | −0.262449 | − | 0.0172018i | −0.0663892 | − | 0.997794i | \(-0.521148\pi\) |
−0.196059 | + | 0.980592i | \(0.562815\pi\) | |||||||
\(908\) | −4.97346 | − | 19.7418i | −0.165050 | − | 0.655155i | ||||
\(909\) | 24.4491 | + | 0.0662388i | 0.810924 | + | 0.00219700i | ||||
\(910\) | 4.93299 | − | 1.11125i | 0.163527 | − | 0.0368375i | ||||
\(911\) | 1.96172 | + | 0.525641i | 0.0649947 | + | 0.0174153i | 0.291170 | − | 0.956671i | \(-0.405956\pi\) |
−0.226175 | + | 0.974087i | \(0.572622\pi\) | |||||||
\(912\) | 9.62616 | + | 8.41892i | 0.318754 | + | 0.278778i | ||||
\(913\) | −60.2879 | + | 16.1541i | −1.99524 | + | 0.534622i | ||||
\(914\) | 11.0833 | − | 5.81761i | 0.366602 | − | 0.192430i | ||||
\(915\) | −76.2477 | + | 34.4230i | −2.52067 | + | 1.13799i | ||||
\(916\) | −6.28146 | + | 2.49208i | −0.207545 | + | 0.0823407i | ||||
\(917\) | −4.78715 | − | 3.19867i | −0.158085 | − | 0.105629i | ||||
\(918\) | 1.38946 | + | 25.7624i | 0.0458590 | + | 0.850287i | ||||
\(919\) | 3.50884 | + | 1.45341i | 0.115746 | + | 0.0479435i | 0.439805 | − | 0.898093i | \(-0.355048\pi\) |
−0.324059 | + | 0.946037i | \(0.605048\pi\) | |||||||
\(920\) | 33.1436 | + | 6.24156i | 1.09271 | + | 0.205778i | ||||
\(921\) | 8.45565 | + | 5.27396i | 0.278623 | + | 0.173783i | ||||
\(922\) | 33.1210 | + | 40.9814i | 1.09078 | + | 1.34965i | ||||
\(923\) | 0.293989 | + | 0.0997959i | 0.00967677 | + | 0.00328482i | ||||
\(924\) | −4.91259 | + | 12.4315i | −0.161612 | + | 0.408966i | ||||
\(925\) | −35.7936 | + | 72.5823i | −1.17689 | + | 2.38649i | ||||
\(926\) | 27.7660 | + | 39.3681i | 0.912447 | + | 1.29372i | ||||
\(927\) | 22.4459 | − | 19.5772i | 0.737219 | − | 0.642999i | ||||
\(928\) | −43.1540 | − | 11.7853i | −1.41660 | − | 0.386871i | ||||
\(929\) | −10.9451 | + | 6.31915i | −0.359097 | + | 0.207324i | −0.668684 | − | 0.743546i | \(-0.733142\pi\) |
0.309588 | + | 0.950871i | \(0.399809\pi\) | |||||||
\(930\) | −19.2923 | + | 16.6189i | −0.632620 | + | 0.544954i | ||||
\(931\) | −12.2202 | + | 0.800953i | −0.400500 | + | 0.0262502i | ||||
\(932\) | −25.2773 | + | 8.15950i | −0.827986 | + | 0.267273i | ||||
\(933\) | −6.09321 | − | 20.1850i | −0.199483 | − | 0.660827i | ||||
\(934\) | −7.16223 | − | 45.5031i | −0.234355 | − | 1.48891i | ||||
\(935\) | 74.6004 | − | 30.9005i | 2.43969 | − | 1.01055i | ||||
\(936\) | −5.23460 | + | 12.9105i | −0.171098 | + | 0.421994i | ||||
\(937\) | 10.7335 | + | 4.44595i | 0.350648 | + | 0.145243i | 0.551053 | − | 0.834470i | \(-0.314226\pi\) |
−0.200406 | + | 0.979713i | \(0.564226\pi\) | |||||||
\(938\) | −8.03225 | − | 1.93653i | −0.262262 | − | 0.0632299i | ||||
\(939\) | 1.84203 | − | 1.14199i | 0.0601122 | − | 0.0372674i | ||||
\(940\) | −7.88685 | + | 0.918125i | −0.257241 | + | 0.0299459i | ||||
\(941\) | 14.7319 | + | 12.9195i | 0.480246 | + | 0.421165i | 0.864937 | − | 0.501881i | \(-0.167358\pi\) |
−0.384690 | + | 0.923046i | \(0.625692\pi\) | |||||||
\(942\) | −20.7195 | + | 1.17378i | −0.675078 | + | 0.0382439i | ||||
\(943\) | −3.38900 | + | 12.6479i | −0.110361 | + | 0.411873i | ||||
\(944\) | −35.3561 | − | 18.7754i | −1.15074 | − | 0.611086i | ||||
\(945\) | 5.37491 | − | 9.95819i | 0.174846 | − | 0.323940i | ||||
\(946\) | −13.3758 | − | 59.3774i | −0.434886 | − | 1.93052i | ||||
\(947\) | −1.01755 | − | 2.99760i | −0.0330659 | − | 0.0974089i | 0.929144 | − | 0.369718i | \(-0.120546\pi\) |
−0.962210 | + | 0.272310i | \(0.912213\pi\) | |||||||
\(948\) | −16.2214 | + | 1.33005i | −0.526846 | + | 0.0431982i | ||||
\(949\) | 4.60587 | + | 9.33977i | 0.149513 | + | 0.303182i | ||||
\(950\) | −9.95746 | + | 18.2975i | −0.323063 | + | 0.593648i | ||||
\(951\) | 3.88588 | + | 4.16019i | 0.126008 | + | 0.134904i | ||||
\(952\) | −2.24037 | + | 5.56889i | −0.0726107 | + | 0.180489i | ||||
\(953\) | −14.1494 | − | 34.1598i | −0.458345 | − | 1.10654i | −0.969067 | − | 0.246797i | \(-0.920622\pi\) |
0.510722 | − | 0.859746i | \(-0.329378\pi\) | |||||||
\(954\) | −2.55727 | + | 1.79326i | −0.0827945 | + | 0.0580591i | ||||
\(955\) | 32.3269 | − | 6.43022i | 1.04607 | − | 0.208077i | ||||
\(956\) | −14.7510 | + | 21.3748i | −0.477081 | + | 0.691312i | ||||
\(957\) | −67.6642 | + | 55.3774i | −2.18727 | + | 1.79010i | ||||
\(958\) | −2.45841 | + | 2.95015i | −0.0794275 | + | 0.0953149i | ||||
\(959\) | −5.20231 | + | 9.01066i | −0.167991 | + | 0.290969i | ||||
\(960\) | 49.4011 | + | 7.19145i | 1.59441 | + | 0.232103i | ||||
\(961\) | −11.3374 | − | 19.6369i | −0.365721 | − | 0.633448i | ||||
\(962\) | 23.2028 | + | 4.00990i | 0.748089 | + | 0.129284i | ||||
\(963\) | −1.17136 | − | 4.41942i | −0.0377464 | − | 0.142414i | ||||
\(964\) | −4.29320 | + | 2.03765i | −0.138275 | + | 0.0656282i | ||||
\(965\) | 35.5659 | + | 40.5551i | 1.14491 | + | 1.30551i | ||||
\(966\) | −0.0434137 | + | 4.90025i | −0.00139681 | + | 0.157663i | ||||
\(967\) | −29.7977 | − | 3.92294i | −0.958229 | − | 0.126153i | −0.364841 | − | 0.931070i | \(-0.618877\pi\) |
−0.593388 | + | 0.804917i | \(0.702210\pi\) | |||||||
\(968\) | −50.5407 | + | 67.2773i | −1.62444 | + | 2.16238i | ||||
\(969\) | 10.9349 | − | 2.53405i | 0.351280 | − | 0.0814054i | ||||
\(970\) | −32.5269 | − | 53.1936i | −1.04438 | − | 1.70794i | ||||
\(971\) | 5.49509 | − | 8.22398i | 0.176346 | − | 0.263920i | −0.732758 | − | 0.680489i | \(-0.761767\pi\) |
0.909104 | + | 0.416569i | \(0.136767\pi\) | |||||||
\(972\) | 14.0943 | + | 27.8092i | 0.452076 | + | 0.891979i | ||||
\(973\) | 1.24588 | + | 0.247822i | 0.0399412 | + | 0.00794480i | ||||
\(974\) | 40.5964 | − | 37.4548i | 1.30079 | − | 1.20013i | ||||
\(975\) | −22.3852 | − | 3.72697i | −0.716901 | − | 0.119359i | ||||
\(976\) | 31.1172 | − | 43.6732i | 0.996038 | − | 1.39795i | ||||
\(977\) | −8.50188 | + | 2.27807i | −0.271999 | + | 0.0728820i | −0.392240 | − | 0.919863i | \(-0.628300\pi\) |
0.120241 | + | 0.992745i | \(0.461633\pi\) | |||||||
\(978\) | 20.9098 | + | 31.9020i | 0.668622 | + | 1.02011i | ||||
\(979\) | −31.7010 | + | 10.7610i | −1.01317 | + | 0.343924i | ||||
\(980\) | −38.3598 | + | 28.5301i | −1.22536 | + | 0.911362i | ||||
\(981\) | 25.3065 | − | 19.3096i | 0.807974 | − | 0.616509i | ||||
\(982\) | 6.94743 | − | 7.30701i | 0.221701 | − | 0.233176i | ||||
\(983\) | 1.37111 | + | 10.4146i | 0.0437315 | + | 0.332174i | 0.999300 | + | 0.0374053i | \(0.0119093\pi\) |
−0.955569 | + | 0.294769i | \(0.904757\pi\) | |||||||
\(984\) | −4.23385 | + | 18.9139i | −0.134970 | + | 0.602954i | ||||
\(985\) | 0.961375 | − | 7.30237i | 0.0306320 | − | 0.232673i | ||||
\(986\) | −30.5381 | + | 24.6808i | −0.972530 | + | 0.785995i | ||||
\(987\) | −0.333407 | − | 1.10448i | −0.0106125 | − | 0.0351559i | ||||
\(988\) | 5.92620 | + | 1.27155i | 0.188538 | + | 0.0404533i | ||||
\(989\) | −12.3969 | − | 18.5532i | −0.394197 | − | 0.589957i | ||||
\(990\) | 67.4258 | − | 70.5319i | 2.14293 | − | 2.24165i | ||||
\(991\) | − | 32.9384i | − | 1.04632i | −0.852234 | − | 0.523161i | \(-0.824753\pi\) | ||
0.852234 | − | 0.523161i | \(-0.175247\pi\) | |||||||
\(992\) | 5.32064 | − | 15.4305i | 0.168931 | − | 0.489918i | ||||
\(993\) | −3.75882 | − | 1.70924i | −0.119283 | − | 0.0542412i | ||||
\(994\) | 0.160987 | − | 0.0146368i | 0.00510620 | − | 0.000464253i | ||||
\(995\) | −94.2197 | + | 6.17548i | −2.98696 | + | 0.195776i | ||||
\(996\) | −26.5297 | + | 21.0554i | −0.840627 | + | 0.667167i | ||||
\(997\) | 3.62227 | − | 3.17665i | 0.114718 | − | 0.100605i | −0.600065 | − | 0.799951i | \(-0.704859\pi\) |
0.714783 | + | 0.699346i | \(0.246525\pi\) | |||||||
\(998\) | −13.6597 | + | 35.4829i | −0.432390 | + | 1.12319i | ||||
\(999\) | 40.8694 | − | 33.2636i | 1.29305 | − | 1.05242i |
(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 | 576.2.bm.a.13.11 | ✓ | 1504 | |
9.7 | even | 3 | inner | 576.2.bm.a.205.75 | yes | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.517.75 | yes | 1504 | |
576.133 | even | 48 | inner | 576.2.bm.a.133.11 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.11 | ✓ | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.133.11 | yes | 1504 | 576.133 | even | 48 | inner | |
576.2.bm.a.205.75 | yes | 1504 | 9.7 | even | 3 | inner | |
576.2.bm.a.517.75 | yes | 1504 | 64.5 | even | 16 | inner |