Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(5,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.f (of order \(22\), degree \(10\), 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: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 17.3 | ||
Character | \(\chi\) | \(=\) | 138.17 |
Dual form | 138.2.f.a.65.3 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.909632 | − | 0.415415i | −0.643207 | − | 0.293743i | ||||
\(3\) | 0.322552 | − | 1.70175i | 0.186226 | − | 0.982507i | ||||
\(4\) | 0.654861 | + | 0.755750i | 0.327430 | + | 0.377875i | ||||
\(5\) | 1.12015 | − | 0.719874i | 0.500944 | − | 0.321937i | −0.265649 | − | 0.964070i | \(-0.585586\pi\) |
0.766594 | + | 0.642132i | \(0.221950\pi\) | |||||||
\(6\) | −1.00034 | + | 1.41398i | −0.408386 | + | 0.577253i | ||||
\(7\) | 1.49094 | + | 0.214365i | 0.563522 | + | 0.0810222i | 0.418188 | − | 0.908361i | \(-0.362665\pi\) |
0.145334 | + | 0.989383i | \(0.453574\pi\) | |||||||
\(8\) | −0.281733 | − | 0.959493i | −0.0996075 | − | 0.339232i | ||||
\(9\) | −2.79192 | − | 1.09781i | −0.930640 | − | 0.365936i | ||||
\(10\) | −1.31797 | + | 0.189495i | −0.416778 | + | 0.0599236i | ||||
\(11\) | −1.00968 | − | 2.21088i | −0.304429 | − | 0.666606i | 0.694154 | − | 0.719826i | \(-0.255779\pi\) |
−0.998583 | + | 0.0532206i | \(0.983051\pi\) | |||||||
\(12\) | 1.49733 | − | 0.870642i | 0.432241 | − | 0.251333i | ||||
\(13\) | −0.172574 | − | 1.20028i | −0.0478634 | − | 0.332897i | −0.999658 | − | 0.0261603i | \(-0.991672\pi\) |
0.951794 | − | 0.306737i | \(-0.0992371\pi\) | |||||||
\(14\) | −1.26715 | − | 0.814351i | −0.338661 | − | 0.217644i | ||||
\(15\) | −0.863741 | − | 2.13841i | −0.223017 | − | 0.552134i | ||||
\(16\) | −0.142315 | + | 0.989821i | −0.0355787 | + | 0.247455i | ||||
\(17\) | −2.63441 | + | 3.04027i | −0.638939 | + | 0.737375i | −0.979187 | − | 0.202961i | \(-0.934944\pi\) |
0.340248 | + | 0.940336i | \(0.389489\pi\) | |||||||
\(18\) | 2.08357 | + | 2.15841i | 0.491103 | + | 0.508741i | ||||
\(19\) | 4.36347 | − | 3.78096i | 1.00105 | − | 0.867413i | 0.00986977 | − | 0.999951i | \(-0.496858\pi\) |
0.991178 | + | 0.132539i | \(0.0423129\pi\) | |||||||
\(20\) | 1.27758 | + | 0.375132i | 0.285676 | + | 0.0838822i | ||||
\(21\) | 0.845700 | − | 2.46806i | 0.184547 | − | 0.538575i | ||||
\(22\) | 2.43052i | 0.518189i | ||||||||
\(23\) | 2.02041 | + | 4.34948i | 0.421285 | + | 0.906928i | ||||
\(24\) | −1.72369 | + | 0.169952i | −0.351847 | + | 0.0346914i | ||||
\(25\) | −1.34057 | + | 2.93543i | −0.268113 | + | 0.587087i | ||||
\(26\) | −0.341634 | + | 1.16350i | −0.0670000 | + | 0.228181i | ||||
\(27\) | −2.76874 | + | 4.39706i | −0.532844 | + | 0.846214i | ||||
\(28\) | 0.814351 | + | 1.26715i | 0.153898 | + | 0.239470i | ||||
\(29\) | 1.94196 | + | 1.68271i | 0.360612 | + | 0.312472i | 0.816256 | − | 0.577690i | \(-0.196046\pi\) |
−0.455644 | + | 0.890162i | \(0.650591\pi\) | |||||||
\(30\) | −0.102640 | + | 2.30397i | −0.0187393 | + | 0.420646i | ||||
\(31\) | 5.49153 | − | 1.61246i | 0.986308 | − | 0.289606i | 0.251482 | − | 0.967862i | \(-0.419082\pi\) |
0.734826 | + | 0.678256i | \(0.237264\pi\) | |||||||
\(32\) | 0.540641 | − | 0.841254i | 0.0955727 | − | 0.148714i | ||||
\(33\) | −4.08805 | + | 1.00509i | −0.711637 | + | 0.174964i | ||||
\(34\) | 3.65932 | − | 1.67116i | 0.627569 | − | 0.286601i | ||||
\(35\) | 1.82438 | − | 0.833168i | 0.308377 | − | 0.140831i | ||||
\(36\) | −0.998651 | − | 2.82890i | −0.166442 | − | 0.471484i | ||||
\(37\) | −4.96610 | + | 7.72740i | −0.816421 | + | 1.27038i | 0.143372 | + | 0.989669i | \(0.454205\pi\) |
−0.959793 | + | 0.280708i | \(0.909431\pi\) | |||||||
\(38\) | −5.53982 | + | 1.62664i | −0.898677 | + | 0.263875i | ||||
\(39\) | −2.09824 | − | 0.0934742i | −0.335987 | − | 0.0149679i | ||||
\(40\) | −1.00630 | − | 0.871960i | −0.159109 | − | 0.137869i | ||||
\(41\) | 6.32320 | + | 9.83909i | 0.987518 | + | 1.53661i | 0.836420 | + | 0.548089i | \(0.184645\pi\) |
0.151098 | + | 0.988519i | \(0.451719\pi\) | |||||||
\(42\) | −1.79455 | + | 1.89371i | −0.276905 | + | 0.292206i | ||||
\(43\) | −0.667960 | + | 2.27486i | −0.101863 | + | 0.346913i | −0.994616 | − | 0.103634i | \(-0.966953\pi\) |
0.892753 | + | 0.450547i | \(0.148771\pi\) | |||||||
\(44\) | 1.00968 | − | 2.21088i | 0.152214 | − | 0.333303i | ||||
\(45\) | −3.91764 | + | 0.780126i | −0.584007 | + | 0.116294i | ||||
\(46\) | −0.0309926 | − | 4.79573i | −0.00456961 | − | 0.707092i | ||||
\(47\) | − | 3.88490i | − | 0.566671i | −0.959021 | − | 0.283335i | \(-0.908559\pi\) | ||
0.959021 | − | 0.283335i | \(-0.0914410\pi\) | |||||||
\(48\) | 1.63853 | + | 0.561454i | 0.236501 | + | 0.0810389i | ||||
\(49\) | −4.53951 | − | 1.33292i | −0.648501 | − | 0.190417i | ||||
\(50\) | 2.43885 | − | 2.11327i | 0.344905 | − | 0.298862i | ||||
\(51\) | 4.32406 | + | 5.46376i | 0.605489 | + | 0.765080i | ||||
\(52\) | 0.794097 | − | 0.916437i | 0.110121 | − | 0.127087i | ||||
\(53\) | 1.06952 | − | 7.43870i | 0.146910 | − | 1.02178i | −0.774328 | − | 0.632785i | \(-0.781912\pi\) |
0.921238 | − | 0.388999i | \(-0.127179\pi\) | |||||||
\(54\) | 4.34513 | − | 2.84953i | 0.591298 | − | 0.387772i | ||||
\(55\) | −2.72254 | − | 1.74967i | −0.367107 | − | 0.235925i | ||||
\(56\) | −0.214365 | − | 1.49094i | −0.0286457 | − | 0.199235i | ||||
\(57\) | −5.02682 | − | 8.64509i | −0.665818 | − | 1.14507i | ||||
\(58\) | −1.06744 | − | 2.33737i | −0.140162 | − | 0.306911i | ||||
\(59\) | 1.80201 | − | 0.259090i | 0.234602 | − | 0.0337306i | −0.0240111 | − | 0.999712i | \(-0.507644\pi\) |
0.258613 | + | 0.965981i | \(0.416735\pi\) | |||||||
\(60\) | 1.05047 | − | 2.05313i | 0.135615 | − | 0.265058i | ||||
\(61\) | −0.525376 | − | 1.78927i | −0.0672675 | − | 0.229092i | 0.918997 | − | 0.394264i | \(-0.129000\pi\) |
−0.986265 | + | 0.165172i | \(0.947182\pi\) | |||||||
\(62\) | −5.66511 | − | 0.814520i | −0.719470 | − | 0.103444i | ||||
\(63\) | −3.92725 | − | 2.23525i | −0.494787 | − | 0.281615i | ||||
\(64\) | −0.841254 | + | 0.540641i | −0.105157 | + | 0.0675801i | ||||
\(65\) | −1.05736 | − | 1.22025i | −0.131149 | − | 0.151354i | ||||
\(66\) | 4.13615 | + | 0.783971i | 0.509125 | + | 0.0965001i | ||||
\(67\) | 8.93253 | + | 4.07935i | 1.09128 | + | 0.498372i | 0.878020 | − | 0.478623i | \(-0.158864\pi\) |
0.213262 | + | 0.976995i | \(0.431591\pi\) | |||||||
\(68\) | −4.02286 | −0.487843 | ||||||||
\(69\) | 8.05342 | − | 2.03531i | 0.969518 | − | 0.245022i | ||||
\(70\) | −2.00563 | −0.239718 | ||||||||
\(71\) | 2.72650 | + | 1.24515i | 0.323576 | + | 0.147772i | 0.570579 | − | 0.821242i | \(-0.306719\pi\) |
−0.247004 | + | 0.969015i | \(0.579446\pi\) | |||||||
\(72\) | −0.266764 | + | 2.98812i | −0.0314384 | + | 0.352153i | ||||
\(73\) | −8.71102 | − | 10.0531i | −1.01955 | − | 1.17662i | −0.984166 | − | 0.177247i | \(-0.943281\pi\) |
−0.0353814 | − | 0.999374i | \(-0.511265\pi\) | |||||||
\(74\) | 7.72740 | − | 4.96610i | 0.898292 | − | 0.577297i | ||||
\(75\) | 4.56298 | + | 3.22814i | 0.526887 | + | 0.372754i | ||||
\(76\) | 5.71492 | + | 0.821682i | 0.655547 | + | 0.0942534i | ||||
\(77\) | −1.03143 | − | 3.51273i | −0.117542 | − | 0.400312i | ||||
\(78\) | 1.86979 | + | 0.956667i | 0.211712 | + | 0.108321i | ||||
\(79\) | −7.42390 | + | 1.06740i | −0.835254 | + | 0.120091i | −0.546654 | − | 0.837358i | \(-0.684099\pi\) |
−0.288600 | + | 0.957450i | \(0.593190\pi\) | |||||||
\(80\) | 0.553133 | + | 1.21119i | 0.0618422 | + | 0.135415i | ||||
\(81\) | 6.58964 | + | 6.12998i | 0.732182 | + | 0.681109i | ||||
\(82\) | −1.66448 | − | 11.5767i | −0.183811 | − | 1.27843i | ||||
\(83\) | −6.10459 | − | 3.92318i | −0.670065 | − | 0.430625i | 0.160884 | − | 0.986973i | \(-0.448566\pi\) |
−0.830949 | + | 0.556348i | \(0.812202\pi\) | |||||||
\(84\) | 2.41905 | − | 0.977100i | 0.263940 | − | 0.106610i | ||||
\(85\) | −0.762312 | + | 5.30199i | −0.0826843 | + | 0.575082i | ||||
\(86\) | 1.55261 | − | 1.79181i | 0.167422 | − | 0.193216i | ||||
\(87\) | 3.48994 | − | 2.76196i | 0.374161 | − | 0.296114i | ||||
\(88\) | −1.83687 | + | 1.59165i | −0.195811 | + | 0.169671i | ||||
\(89\) | −7.87435 | − | 2.31212i | −0.834679 | − | 0.245084i | −0.163653 | − | 0.986518i | \(-0.552328\pi\) |
−0.671026 | + | 0.741434i | \(0.734146\pi\) | |||||||
\(90\) | 3.88769 | + | 0.917819i | 0.409798 | + | 0.0967466i | ||||
\(91\) | − | 1.82653i | − | 0.191473i | ||||||
\(92\) | −1.96403 | + | 4.37523i | −0.204764 | + | 0.456149i | ||||
\(93\) | −0.972700 | − | 9.86533i | −0.100864 | − | 1.02299i | ||||
\(94\) | −1.61385 | + | 3.53383i | −0.166455 | + | 0.364487i | ||||
\(95\) | 2.16590 | − | 7.37638i | 0.222217 | − | 0.756800i | ||||
\(96\) | −1.25722 | − | 1.19138i | −0.128314 | − | 0.121595i | ||||
\(97\) | 9.14934 | + | 14.2367i | 0.928975 | + | 1.44551i | 0.894988 | + | 0.446091i | \(0.147184\pi\) |
0.0339871 | + | 0.999422i | \(0.489179\pi\) | |||||||
\(98\) | 3.57557 | + | 3.09825i | 0.361187 | + | 0.312970i | ||||
\(99\) | 0.391811 | + | 7.28103i | 0.0393785 | + | 0.731772i | ||||
\(100\) | −3.09634 | + | 0.909167i | −0.309634 | + | 0.0909167i | ||||
\(101\) | −0.785907 | + | 1.22290i | −0.0782007 | + | 0.121683i | −0.878151 | − | 0.478384i | \(-0.841223\pi\) |
0.799950 | + | 0.600066i | \(0.204859\pi\) | |||||||
\(102\) | −1.66357 | − | 6.76629i | −0.164718 | − | 0.669963i | ||||
\(103\) | −11.4095 | + | 5.21054i | −1.12421 | + | 0.513410i | −0.888713 | − | 0.458464i | \(-0.848400\pi\) |
−0.235499 | + | 0.971875i | \(0.575672\pi\) | |||||||
\(104\) | −1.10304 | + | 0.503740i | −0.108162 | + | 0.0493958i | ||||
\(105\) | −0.829386 | − | 3.37339i | −0.0809398 | − | 0.329209i | ||||
\(106\) | −4.06302 | + | 6.32218i | −0.394635 | + | 0.614064i | ||||
\(107\) | −6.33498 | + | 1.86012i | −0.612426 | + | 0.179824i | −0.573213 | − | 0.819407i | \(-0.694303\pi\) |
−0.0392127 | + | 0.999231i | \(0.512485\pi\) | |||||||
\(108\) | −5.13621 | + | 0.786988i | −0.494232 | + | 0.0757279i | ||||
\(109\) | −14.0230 | − | 12.1510i | −1.34316 | − | 1.16385i | −0.971919 | − | 0.235317i | \(-0.924387\pi\) |
−0.371241 | − | 0.928537i | \(-0.621068\pi\) | |||||||
\(110\) | 1.74967 | + | 2.72254i | 0.166824 | + | 0.259584i | ||||
\(111\) | 11.5483 | + | 10.9436i | 1.09612 | + | 1.03872i | ||||
\(112\) | −0.424365 | + | 1.44526i | −0.0400987 | + | 0.136564i | ||||
\(113\) | −5.75929 | + | 12.6111i | −0.541788 | + | 1.18635i | 0.418724 | + | 0.908113i | \(0.362477\pi\) |
−0.960512 | + | 0.278237i | \(0.910250\pi\) | |||||||
\(114\) | 0.981253 | + | 9.95207i | 0.0919027 | + | 0.932097i | ||||
\(115\) | 5.39423 | + | 3.41761i | 0.503014 | + | 0.318693i | ||||
\(116\) | 2.56958i | 0.238579i | ||||||||
\(117\) | −0.835861 | + | 3.54053i | −0.0772754 | + | 0.327322i | ||||
\(118\) | −1.74680 | − | 0.512906i | −0.160806 | − | 0.0472168i | ||||
\(119\) | −4.57947 | + | 3.96814i | −0.419800 | + | 0.363758i | ||||
\(120\) | −1.80844 | + | 1.43121i | −0.165087 | + | 0.130651i | ||||
\(121\) | 3.33492 | − | 3.84870i | 0.303174 | − | 0.349882i | ||||
\(122\) | −0.265389 | + | 1.84582i | −0.0240272 | + | 0.167113i | ||||
\(123\) | 18.7833 | − | 7.58690i | 1.69363 | − | 0.684088i | ||||
\(124\) | 4.81480 | + | 3.09429i | 0.432382 | + | 0.277875i | ||||
\(125\) | 1.55899 | + | 10.8430i | 0.139440 | + | 0.969826i | ||||
\(126\) | 2.64379 | + | 3.66469i | 0.235528 | + | 0.326477i | ||||
\(127\) | −7.59245 | − | 16.6251i | −0.673721 | − | 1.47524i | −0.869162 | − | 0.494527i | \(-0.835341\pi\) |
0.195441 | − | 0.980715i | \(-0.437386\pi\) | |||||||
\(128\) | 0.989821 | − | 0.142315i | 0.0874887 | − | 0.0125790i | ||||
\(129\) | 3.65580 | + | 1.87046i | 0.321875 | + | 0.164685i | ||||
\(130\) | 0.454893 | + | 1.54922i | 0.0398968 | + | 0.135876i | ||||
\(131\) | 20.0087 | + | 2.87682i | 1.74817 | + | 0.251349i | 0.940864 | − | 0.338785i | \(-0.110016\pi\) |
0.807306 | + | 0.590134i | \(0.200925\pi\) | |||||||
\(132\) | −3.43670 | − | 2.43134i | −0.299126 | − | 0.211621i | ||||
\(133\) | 7.31616 | − | 4.70181i | 0.634392 | − | 0.407699i | ||||
\(134\) | −6.43069 | − | 7.42141i | −0.555527 | − | 0.641112i | ||||
\(135\) | 0.0639374 | + | 6.91848i | 0.00550286 | + | 0.595448i | ||||
\(136\) | 3.65932 | + | 1.67116i | 0.313784 | + | 0.143300i | ||||
\(137\) | −1.71701 | −0.146694 | −0.0733470 | − | 0.997306i | \(-0.523368\pi\) | ||||
−0.0733470 | + | 0.997306i | \(0.523368\pi\) | |||||||
\(138\) | −8.17114 | − | 1.49413i | −0.695574 | − | 0.127189i | ||||
\(139\) | 9.24109 | 0.783819 | 0.391909 | − | 0.920004i | \(-0.371815\pi\) | ||||
0.391909 | + | 0.920004i | \(0.371815\pi\) | |||||||
\(140\) | 1.82438 | + | 0.833168i | 0.154188 | + | 0.0704155i | ||||
\(141\) | −6.61114 | − | 1.25308i | −0.556758 | − | 0.105529i | ||||
\(142\) | −1.96286 | − | 2.26526i | −0.164719 | − | 0.190096i | ||||
\(143\) | −2.47943 | + | 1.59343i | −0.207340 | + | 0.133249i | ||||
\(144\) | 1.48397 | − | 2.60727i | 0.123664 | − | 0.217272i | ||||
\(145\) | 3.38662 | + | 0.486922i | 0.281243 | + | 0.0404367i | ||||
\(146\) | 3.74763 | + | 12.7633i | 0.310156 | + | 1.05630i | ||||
\(147\) | −3.73253 | + | 7.29518i | −0.307854 | + | 0.601696i | ||||
\(148\) | −9.09208 | + | 1.30724i | −0.747364 | + | 0.107455i | ||||
\(149\) | −0.929742 | − | 2.03585i | −0.0761675 | − | 0.166783i | 0.867718 | − | 0.497057i | \(-0.165586\pi\) |
−0.943885 | + | 0.330274i | \(0.892859\pi\) | |||||||
\(150\) | −2.80961 | − | 4.83195i | −0.229404 | − | 0.394527i | ||||
\(151\) | −1.71974 | − | 11.9611i | −0.139951 | − | 0.973379i | −0.931880 | − | 0.362766i | \(-0.881832\pi\) |
0.791929 | − | 0.610613i | \(-0.209077\pi\) | |||||||
\(152\) | −4.85714 | − | 3.12149i | −0.393966 | − | 0.253187i | ||||
\(153\) | 10.6927 | − | 5.59612i | 0.864454 | − | 0.452420i | ||||
\(154\) | −0.521018 | + | 3.62376i | −0.0419848 | + | 0.292011i | ||||
\(155\) | 4.99055 | − | 5.75940i | 0.400850 | − | 0.462606i | ||||
\(156\) | −1.30341 | − | 1.64696i | −0.104356 | − | 0.131862i | ||||
\(157\) | 7.39066 | − | 6.40404i | 0.589839 | − | 0.511098i | −0.308021 | − | 0.951379i | \(-0.599667\pi\) |
0.897860 | + | 0.440281i | \(0.145121\pi\) | |||||||
\(158\) | 7.19643 | + | 2.11306i | 0.572517 | + | 0.168106i | ||||
\(159\) | −12.3138 | − | 4.21943i | −0.976551 | − | 0.334623i | ||||
\(160\) | − | 1.33152i | − | 0.105266i | ||||||
\(161\) | 2.07993 | + | 6.91790i | 0.163922 | + | 0.545207i | ||||
\(162\) | −3.44766 | − | 8.31346i | −0.270874 | − | 0.653167i | ||||
\(163\) | −7.07658 | + | 15.4955i | −0.554280 | + | 1.21370i | 0.400474 | + | 0.916308i | \(0.368846\pi\) |
−0.954754 | + | 0.297396i | \(0.903882\pi\) | |||||||
\(164\) | −3.29507 | + | 11.2220i | −0.257302 | + | 0.876290i | ||||
\(165\) | −3.85567 | + | 4.06873i | −0.300163 | + | 0.316750i | ||||
\(166\) | 3.92318 | + | 6.10459i | 0.304498 | + | 0.473808i | ||||
\(167\) | −17.5062 | − | 15.1692i | −1.35467 | − | 1.17383i | −0.967806 | − | 0.251696i | \(-0.919012\pi\) |
−0.386868 | − | 0.922135i | \(-0.626443\pi\) | |||||||
\(168\) | −2.60635 | − | 0.116110i | −0.201084 | − | 0.00895808i | ||||
\(169\) | 11.0625 | − | 3.24825i | 0.850963 | − | 0.249865i | ||||
\(170\) | 2.89595 | − | 4.50619i | 0.222109 | − | 0.345609i | ||||
\(171\) | −16.3332 | + | 5.76590i | −1.24903 | + | 0.440930i | ||||
\(172\) | −2.15665 | + | 0.984908i | −0.164443 | + | 0.0750985i | ||||
\(173\) | 8.20959 | − | 3.74919i | 0.624163 | − | 0.285046i | −0.0781193 | − | 0.996944i | \(-0.524892\pi\) |
0.702283 | + | 0.711898i | \(0.252164\pi\) | |||||||
\(174\) | −4.32193 | + | 1.06260i | −0.327644 | + | 0.0805552i | ||||
\(175\) | −2.62796 | + | 4.08918i | −0.198655 | + | 0.309113i | ||||
\(176\) | 2.33207 | − | 0.684757i | 0.175786 | − | 0.0516155i | ||||
\(177\) | 0.140335 | − | 3.15014i | 0.0105483 | − | 0.236779i | ||||
\(178\) | 6.20227 | + | 5.37430i | 0.464880 | + | 0.402821i | ||||
\(179\) | −11.9368 | − | 18.5740i | −0.892197 | − | 1.38829i | −0.921360 | − | 0.388711i | \(-0.872920\pi\) |
0.0291624 | − | 0.999575i | \(-0.490716\pi\) | |||||||
\(180\) | −3.15509 | − | 2.44988i | −0.235166 | − | 0.182603i | ||||
\(181\) | −0.799679 | + | 2.72345i | −0.0594396 | + | 0.202433i | −0.983859 | − | 0.178944i | \(-0.942732\pi\) |
0.924420 | + | 0.381377i | \(0.124550\pi\) | |||||||
\(182\) | −0.758769 | + | 1.66147i | −0.0562437 | + | 0.123157i | ||||
\(183\) | −3.21435 | + | 0.316928i | −0.237612 | + | 0.0234280i | ||||
\(184\) | 3.60408 | − | 3.16396i | 0.265696 | − | 0.233250i | ||||
\(185\) | 12.2308i | 0.899225i | ||||||||
\(186\) | −3.21341 | + | 9.37789i | −0.235618 | + | 0.687620i | ||||
\(187\) | 9.38159 | + | 2.75468i | 0.686050 | + | 0.201442i | ||||
\(188\) | 2.93601 | − | 2.54407i | 0.214131 | − | 0.185545i | ||||
\(189\) | −5.07059 | + | 5.96222i | −0.368831 | + | 0.433688i | ||||
\(190\) | −5.03443 | + | 5.81004i | −0.365236 | + | 0.421505i | ||||
\(191\) | 2.78216 | − | 19.3504i | 0.201310 | − | 1.40014i | −0.599092 | − | 0.800680i | \(-0.704472\pi\) |
0.800402 | − | 0.599464i | \(-0.204619\pi\) | |||||||
\(192\) | 0.648688 | + | 1.60599i | 0.0468151 | + | 0.115902i | ||||
\(193\) | −1.97951 | − | 1.27215i | −0.142488 | − | 0.0915717i | 0.467454 | − | 0.884017i | \(-0.345171\pi\) |
−0.609943 | + | 0.792446i | \(0.708808\pi\) | |||||||
\(194\) | −2.40841 | − | 16.7509i | −0.172914 | − | 1.20264i | ||||
\(195\) | −2.41762 | + | 1.40576i | −0.173129 | + | 0.100669i | ||||
\(196\) | −1.96539 | − | 4.30361i | −0.140385 | − | 0.307401i | ||||
\(197\) | 9.15698 | − | 1.31657i | 0.652408 | − | 0.0938021i | 0.191839 | − | 0.981426i | \(-0.438555\pi\) |
0.460568 | + | 0.887624i | \(0.347646\pi\) | |||||||
\(198\) | 2.66825 | − | 6.78583i | 0.189624 | − | 0.482248i | ||||
\(199\) | −3.74392 | − | 12.7506i | −0.265399 | − | 0.903867i | −0.979094 | − | 0.203410i | \(-0.934798\pi\) |
0.713694 | − | 0.700457i | \(-0.247021\pi\) | |||||||
\(200\) | 3.19421 | + | 0.459258i | 0.225865 | + | 0.0324744i | ||||
\(201\) | 9.82325 | − | 13.8851i | 0.692878 | − | 0.979383i | ||||
\(202\) | 1.22290 | − | 0.785907i | 0.0860426 | − | 0.0552962i | ||||
\(203\) | 2.53462 | + | 2.92511i | 0.177896 | + | 0.205302i | ||||
\(204\) | −1.29758 | + | 6.84591i | −0.0908489 | + | 0.479310i | ||||
\(205\) | 14.1658 | + | 6.46931i | 0.989383 | + | 0.451836i | ||||
\(206\) | 12.5430 | 0.873911 | ||||||||
\(207\) | −0.865937 | − | 14.3614i | −0.0601868 | − | 0.998187i | ||||
\(208\) | 1.21262 | 0.0840801 | ||||||||
\(209\) | −12.7649 | − | 5.82956i | −0.882970 | − | 0.403239i | ||||
\(210\) | −0.646920 | + | 3.41308i | −0.0446417 | + | 0.235525i | ||||
\(211\) | 4.41576 | + | 5.09606i | 0.303994 | + | 0.350827i | 0.887107 | − | 0.461563i | \(-0.152711\pi\) |
−0.583114 | + | 0.812391i | \(0.698166\pi\) | |||||||
\(212\) | 6.32218 | − | 4.06302i | 0.434209 | − | 0.279049i | ||||
\(213\) | 2.99837 | − | 4.23820i | 0.205445 | − | 0.290396i | ||||
\(214\) | 6.53522 | + | 0.939623i | 0.446738 | + | 0.0642313i | ||||
\(215\) | 0.889402 | + | 3.02902i | 0.0606567 | + | 0.206578i | ||||
\(216\) | 4.99899 | + | 1.41779i | 0.340138 | + | 0.0964684i | ||||
\(217\) | 8.53318 | − | 1.22689i | 0.579270 | − | 0.0832865i | ||||
\(218\) | 7.70806 | + | 16.8783i | 0.522056 | + | 1.14314i | ||||
\(219\) | −19.9176 | + | 11.5814i | −1.34590 | + | 0.782596i | ||||
\(220\) | −0.460572 | − | 3.20335i | −0.0310518 | − | 0.215970i | ||||
\(221\) | 4.10380 | + | 2.63735i | 0.276052 | + | 0.177408i | ||||
\(222\) | −5.95858 | − | 14.7519i | −0.399914 | − | 0.990086i | ||||
\(223\) | −3.94510 | + | 27.4388i | −0.264183 | + | 1.83744i | 0.236289 | + | 0.971683i | \(0.424069\pi\) |
−0.500472 | + | 0.865753i | \(0.666840\pi\) | |||||||
\(224\) | 0.986397 | − | 1.13836i | 0.0659064 | − | 0.0760600i | ||||
\(225\) | 6.96530 | − | 6.72381i | 0.464353 | − | 0.448254i | ||||
\(226\) | 10.4777 | − | 9.07895i | 0.696964 | − | 0.603923i | ||||
\(227\) | −7.27118 | − | 2.13501i | −0.482605 | − | 0.141706i | 0.0313752 | − | 0.999508i | \(-0.490011\pi\) |
−0.513980 | + | 0.857802i | \(0.671830\pi\) | |||||||
\(228\) | 3.24166 | − | 9.46035i | 0.214684 | − | 0.626527i | ||||
\(229\) | 19.8565i | 1.31215i | 0.754695 | + | 0.656076i | \(0.227785\pi\) | ||||
−0.754695 | + | 0.656076i | \(0.772215\pi\) | |||||||
\(230\) | −3.48704 | − | 5.34961i | −0.229928 | − | 0.352743i | ||||
\(231\) | −6.31048 | + | 0.622200i | −0.415199 | + | 0.0409377i | ||||
\(232\) | 1.06744 | − | 2.33737i | 0.0700809 | − | 0.153456i | ||||
\(233\) | 4.48375 | − | 15.2703i | 0.293740 | − | 1.00039i | −0.671929 | − | 0.740615i | \(-0.734534\pi\) |
0.965670 | − | 0.259773i | \(-0.0836476\pi\) | |||||||
\(234\) | 2.23112 | − | 2.87335i | 0.145853 | − | 0.187837i | ||||
\(235\) | −2.79664 | − | 4.35165i | −0.182433 | − | 0.283871i | ||||
\(236\) | 1.37587 | + | 1.19220i | 0.0895617 | + | 0.0776056i | ||||
\(237\) | −0.578153 | + | 12.9779i | −0.0375550 | + | 0.843007i | ||||
\(238\) | 5.81406 | − | 1.70716i | 0.376869 | − | 0.110659i | ||||
\(239\) | 0.244516 | − | 0.380474i | 0.0158164 | − | 0.0246108i | −0.833255 | − | 0.552888i | \(-0.813526\pi\) |
0.849072 | + | 0.528278i | \(0.177162\pi\) | |||||||
\(240\) | 2.23956 | − | 0.550623i | 0.144563 | − | 0.0355425i | ||||
\(241\) | 0.138748 | − | 0.0633640i | 0.00893754 | − | 0.00408164i | −0.410941 | − | 0.911662i | \(-0.634800\pi\) |
0.419879 | + | 0.907580i | \(0.362073\pi\) | |||||||
\(242\) | −4.63235 | + | 2.11552i | −0.297779 | + | 0.135991i | ||||
\(243\) | 12.5572 | − | 9.23669i | 0.805546 | − | 0.592534i | ||||
\(244\) | 1.00819 | − | 1.56877i | 0.0645427 | − | 0.100430i | ||||
\(245\) | −6.04444 | + | 1.77481i | −0.386165 | + | 0.113388i | ||||
\(246\) | −20.2376 | − | 0.901561i | −1.29030 | − | 0.0574814i | ||||
\(247\) | −5.29122 | − | 4.58487i | −0.336673 | − | 0.291728i | ||||
\(248\) | −3.09429 | − | 4.81480i | −0.196487 | − | 0.305740i | ||||
\(249\) | −8.64533 | + | 9.12306i | −0.547875 | + | 0.578151i | ||||
\(250\) | 3.08624 | − | 10.5108i | 0.195191 | − | 0.664758i | ||||
\(251\) | −6.90784 | + | 15.1260i | −0.436019 | + | 0.954748i | 0.556293 | + | 0.830986i | \(0.312223\pi\) |
−0.992312 | + | 0.123762i | \(0.960504\pi\) | |||||||
\(252\) | −0.882510 | − | 4.43179i | −0.0555929 | − | 0.279177i | ||||
\(253\) | 7.57622 | − | 8.85845i | 0.476313 | − | 0.556926i | ||||
\(254\) | 18.2768i | 1.14679i | ||||||||
\(255\) | 8.77680 | + | 3.00744i | 0.549624 | + | 0.188333i | ||||
\(256\) | −0.959493 | − | 0.281733i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | 3.73058 | − | 3.23257i | 0.232707 | − | 0.201642i | −0.530699 | − | 0.847560i | \(-0.678071\pi\) |
0.763407 | + | 0.645918i | \(0.223525\pi\) | |||||||
\(258\) | −2.54841 | − | 3.22011i | −0.158657 | − | 0.200475i | ||||
\(259\) | −9.06062 | + | 10.4565i | −0.563000 | + | 0.649736i | ||||
\(260\) | 0.229785 | − | 1.59819i | 0.0142507 | − | 0.0991157i | ||||
\(261\) | −3.57449 | − | 6.82990i | −0.221255 | − | 0.422760i | ||||
\(262\) | −17.0055 | − | 10.9288i | −1.05060 | − | 0.675181i | ||||
\(263\) | −1.27293 | − | 8.85339i | −0.0784920 | − | 0.545924i | −0.990686 | − | 0.136165i | \(-0.956522\pi\) |
0.912194 | − | 0.409758i | \(-0.134387\pi\) | |||||||
\(264\) | 2.11612 | + | 3.63928i | 0.130238 | + | 0.223982i | ||||
\(265\) | −4.15690 | − | 9.10235i | −0.255356 | − | 0.559153i | ||||
\(266\) | −8.60822 | + | 1.23767i | −0.527804 | + | 0.0758867i | ||||
\(267\) | −6.47454 | + | 12.6544i | −0.396235 | + | 0.774437i | ||||
\(268\) | 2.76660 | + | 9.42216i | 0.168997 | + | 0.575550i | ||||
\(269\) | 22.5063 | + | 3.23592i | 1.37224 | + | 0.197298i | 0.788695 | − | 0.614785i | \(-0.210757\pi\) |
0.583542 | + | 0.812083i | \(0.301666\pi\) | |||||||
\(270\) | 2.81588 | − | 6.31983i | 0.171369 | − | 0.384613i | ||||
\(271\) | −1.26973 | + | 0.816007i | −0.0771307 | + | 0.0495689i | −0.578638 | − | 0.815585i | \(-0.696415\pi\) |
0.501507 | + | 0.865154i | \(0.332779\pi\) | |||||||
\(272\) | −2.63441 | − | 3.04027i | −0.159735 | − | 0.184344i | ||||
\(273\) | −3.10830 | − | 0.589152i | −0.188123 | − | 0.0356571i | ||||
\(274\) | 1.56185 | + | 0.713271i | 0.0943546 | + | 0.0430903i | ||||
\(275\) | 7.84343 | 0.472977 | ||||||||
\(276\) | 6.81205 | + | 4.75353i | 0.410037 | + | 0.286129i | ||||
\(277\) | 2.86203 | 0.171963 | 0.0859813 | − | 0.996297i | \(-0.472597\pi\) | ||||
0.0859813 | + | 0.996297i | \(0.472597\pi\) | |||||||
\(278\) | −8.40599 | − | 3.83889i | −0.504158 | − | 0.230241i | ||||
\(279\) | −17.1021 | − | 1.52679i | −1.02388 | − | 0.0914064i | ||||
\(280\) | −1.31341 | − | 1.51575i | −0.0784911 | − | 0.0905835i | ||||
\(281\) | −13.5266 | + | 8.69300i | −0.806928 | + | 0.518581i | −0.877870 | − | 0.478899i | \(-0.841036\pi\) |
0.0709420 | + | 0.997480i | \(0.477399\pi\) | |||||||
\(282\) | 5.49315 | + | 3.88621i | 0.327112 | + | 0.231420i | ||||
\(283\) | −2.13160 | − | 0.306478i | −0.126711 | − | 0.0182182i | 0.0786677 | − | 0.996901i | \(-0.474933\pi\) |
−0.205378 | + | 0.978683i | \(0.565842\pi\) | |||||||
\(284\) | 0.844455 | + | 2.87595i | 0.0501092 | + | 0.170656i | ||||
\(285\) | −11.8541 | − | 6.06509i | −0.702179 | − | 0.359265i | ||||
\(286\) | 2.91730 | − | 0.419445i | 0.172504 | − | 0.0248023i | ||||
\(287\) | 7.31835 | + | 16.0249i | 0.431988 | + | 0.945923i | ||||
\(288\) | −2.43296 | + | 1.75519i | −0.143364 | + | 0.103426i | ||||
\(289\) | 0.116214 | + | 0.808289i | 0.00683615 | + | 0.0475464i | ||||
\(290\) | −2.87830 | − | 1.84977i | −0.169020 | − | 0.108622i | ||||
\(291\) | 27.1784 | − | 10.9778i | 1.59323 | − | 0.643533i | ||||
\(292\) | 1.89309 | − | 13.1667i | 0.110784 | − | 0.770523i | ||||
\(293\) | −18.9102 | + | 21.8236i | −1.10475 | + | 1.27495i | −0.146437 | + | 0.989220i | \(0.546781\pi\) |
−0.958311 | + | 0.285727i | \(0.907765\pi\) | |||||||
\(294\) | 6.42575 | − | 5.08538i | 0.374758 | − | 0.296585i | ||||
\(295\) | 1.83200 | − | 1.58744i | 0.106663 | − | 0.0924242i | ||||
\(296\) | 8.81350 | + | 2.58788i | 0.512274 | + | 0.150417i | ||||
\(297\) | 12.5169 | + | 1.68175i | 0.726304 | + | 0.0975849i | ||||
\(298\) | 2.23810i | 0.129650i | ||||||||
\(299\) | 4.87191 | − | 3.17566i | 0.281750 | − | 0.183653i | ||||
\(300\) | 0.548446 | + | 5.56245i | 0.0316645 | + | 0.321148i | ||||
\(301\) | −1.48354 | + | 3.24849i | −0.0855096 | + | 0.187240i | ||||
\(302\) | −3.40448 | + | 11.5946i | −0.195906 | + | 0.667194i | ||||
\(303\) | 1.82757 | + | 1.73187i | 0.104991 | + | 0.0994932i | ||||
\(304\) | 3.12149 | + | 4.85714i | 0.179030 | + | 0.278576i | ||||
\(305\) | −1.87654 | − | 1.62603i | −0.107451 | − | 0.0931065i | ||||
\(306\) | −12.0511 | + | 0.648503i | −0.688918 | + | 0.0370725i | ||||
\(307\) | −8.74066 | + | 2.56649i | −0.498856 | + | 0.146477i | −0.521475 | − | 0.853267i | \(-0.674618\pi\) |
0.0226186 | + | 0.999744i | \(0.492800\pi\) | |||||||
\(308\) | 1.97930 | − | 3.07985i | 0.112781 | − | 0.175491i | ||||
\(309\) | 5.18690 | + | 21.0968i | 0.295072 | + | 1.20016i | ||||
\(310\) | −6.93210 | + | 3.16578i | −0.393717 | + | 0.179804i | ||||
\(311\) | −10.6970 | + | 4.88517i | −0.606573 | + | 0.277013i | −0.694931 | − | 0.719076i | \(-0.744565\pi\) |
0.0883584 | + | 0.996089i | \(0.471838\pi\) | |||||||
\(312\) | 0.501454 | + | 2.03958i | 0.0283893 | + | 0.115468i | ||||
\(313\) | −2.30643 | + | 3.58887i | −0.130367 | + | 0.202855i | −0.900300 | − | 0.435269i | \(-0.856653\pi\) |
0.769933 | + | 0.638124i | \(0.220289\pi\) | |||||||
\(314\) | −9.38311 | + | 2.75513i | −0.529520 | + | 0.155481i | ||||
\(315\) | −6.00819 | + | 0.323316i | −0.338523 | + | 0.0182168i | ||||
\(316\) | −5.66831 | − | 4.91161i | −0.318867 | − | 0.276300i | ||||
\(317\) | −2.86723 | − | 4.46150i | −0.161040 | − | 0.250583i | 0.751351 | − | 0.659902i | \(-0.229402\pi\) |
−0.912391 | + | 0.409320i | \(0.865766\pi\) | |||||||
\(318\) | 9.44825 | + | 8.95348i | 0.529831 | + | 0.502086i | ||||
\(319\) | 1.75954 | − | 5.99243i | 0.0985151 | − | 0.335512i | ||||
\(320\) | −0.553133 | + | 1.21119i | −0.0309211 | + | 0.0677077i | ||||
\(321\) | 1.12210 | + | 11.3805i | 0.0626294 | + | 0.635200i | ||||
\(322\) | 0.981826 | − | 7.15678i | 0.0547151 | − | 0.398832i | ||||
\(323\) | 23.2268i | 1.29237i | ||||||||
\(324\) | −0.317438 | + | 8.99440i | −0.0176354 | + | 0.499689i | ||||
\(325\) | 3.75468 | + | 1.10247i | 0.208272 | + | 0.0611542i | ||||
\(326\) | 12.8742 | − | 11.1555i | 0.713034 | − | 0.617847i | ||||
\(327\) | −25.2011 | + | 19.9443i | −1.39363 | + | 1.10292i | ||||
\(328\) | 7.65909 | − | 8.83906i | 0.422902 | − | 0.488055i | ||||
\(329\) | 0.832785 | − | 5.79214i | 0.0459129 | − | 0.319331i | ||||
\(330\) | 5.19745 | − | 2.09934i | 0.286110 | − | 0.115565i | ||||
\(331\) | 10.3875 | + | 6.67562i | 0.570947 | + | 0.366925i | 0.794034 | − | 0.607873i | \(-0.207977\pi\) |
−0.223087 | + | 0.974798i | \(0.571614\pi\) | |||||||
\(332\) | −1.03271 | − | 7.18268i | −0.0566775 | − | 0.394201i | ||||
\(333\) | 22.3481 | − | 16.1225i | 1.22467 | − | 0.883505i | ||||
\(334\) | 9.62271 | + | 21.0708i | 0.526531 | + | 1.15294i | ||||
\(335\) | 12.9423 | − | 1.86083i | 0.707116 | − | 0.101668i | ||||
\(336\) | 2.32259 | + | 1.18833i | 0.126707 | + | 0.0648290i | ||||
\(337\) | 5.36219 | + | 18.2619i | 0.292097 | + | 0.994791i | 0.966551 | + | 0.256474i | \(0.0825609\pi\) |
−0.674454 | + | 0.738317i | \(0.735621\pi\) | |||||||
\(338\) | −11.4122 | − | 1.64083i | −0.620742 | − | 0.0892492i | ||||
\(339\) | 19.6033 | + | 13.8686i | 1.06470 | + | 0.753240i | ||||
\(340\) | −4.50619 | + | 2.89595i | −0.244382 | + | 0.157055i | ||||
\(341\) | −9.10962 | − | 10.5131i | −0.493314 | − | 0.569314i | ||||
\(342\) | 17.2525 | + | 1.54021i | 0.932906 | + | 0.0832852i | ||||
\(343\) | −16.0734 | − | 7.34050i | −0.867885 | − | 0.396350i | ||||
\(344\) | 2.37090 | 0.127830 | ||||||||
\(345\) | 7.55584 | − | 8.07728i | 0.406793 | − | 0.434866i | ||||
\(346\) | −9.02518 | −0.485196 | ||||||||
\(347\) | −15.5113 | − | 7.08379i | −0.832692 | − | 0.380278i | −0.0469997 | − | 0.998895i | \(-0.514966\pi\) |
−0.785693 | + | 0.618617i | \(0.787693\pi\) | |||||||
\(348\) | 4.37278 | + | 0.828822i | 0.234406 | + | 0.0444295i | ||||
\(349\) | −17.1986 | − | 19.8483i | −0.920621 | − | 1.06245i | −0.997856 | − | 0.0654409i | \(-0.979155\pi\) |
0.0772350 | − | 0.997013i | \(-0.475391\pi\) | |||||||
\(350\) | 4.08918 | − | 2.62796i | 0.218576 | − | 0.140470i | ||||
\(351\) | 5.75550 | + | 2.56443i | 0.307206 | + | 0.136879i | ||||
\(352\) | −2.40578 | − | 0.345899i | −0.128229 | − | 0.0184365i | ||||
\(353\) | 3.11065 | + | 10.5939i | 0.165563 | + | 0.563856i | 0.999920 | + | 0.0126319i | \(0.00402096\pi\) |
−0.834357 | + | 0.551224i | \(0.814161\pi\) | |||||||
\(354\) | −1.43627 | + | 2.80717i | −0.0763369 | + | 0.149200i | ||||
\(355\) | 3.95043 | − | 0.567985i | 0.209667 | − | 0.0301455i | ||||
\(356\) | −3.40922 | − | 7.46515i | −0.180688 | − | 0.395652i | ||||
\(357\) | 5.27566 | + | 9.07306i | 0.279218 | + | 0.480197i | ||||
\(358\) | 3.14216 | + | 21.8542i | 0.166068 | + | 1.15503i | ||||
\(359\) | 18.5628 | + | 11.9296i | 0.979705 | + | 0.629618i | 0.929384 | − | 0.369115i | \(-0.120339\pi\) |
0.0503215 | + | 0.998733i | \(0.483975\pi\) | |||||||
\(360\) | 1.85225 | + | 3.53916i | 0.0976223 | + | 0.186530i | ||||
\(361\) | 2.04016 | − | 14.1896i | 0.107377 | − | 0.746821i | ||||
\(362\) | 1.85878 | − | 2.14514i | 0.0976952 | − | 0.112746i | ||||
\(363\) | −5.47385 | − | 6.91661i | −0.287302 | − | 0.363028i | ||||
\(364\) | 1.38040 | − | 1.19612i | 0.0723527 | − | 0.0626939i | ||||
\(365\) | −16.9945 | − | 4.99005i | −0.889535 | − | 0.261191i | ||||
\(366\) | 3.05553 | + | 1.04700i | 0.159715 | + | 0.0547276i | ||||
\(367\) | − | 12.7528i | − | 0.665692i | −0.942981 | − | 0.332846i | \(-0.891991\pi\) | ||
0.942981 | − | 0.332846i | \(-0.108009\pi\) | |||||||
\(368\) | −4.59274 | + | 1.38085i | −0.239413 | + | 0.0719818i | ||||
\(369\) | −6.85244 | − | 34.4116i | −0.356724 | − | 1.79140i | ||||
\(370\) | 5.08085 | − | 11.1255i | 0.264141 | − | 0.578387i | ||||
\(371\) | 3.18919 | − | 10.8614i | 0.165574 | − | 0.563894i | ||||
\(372\) | 6.81873 | − | 7.19553i | 0.353535 | − | 0.373071i | ||||
\(373\) | −1.34653 | − | 2.09524i | −0.0697206 | − | 0.108487i | 0.804643 | − | 0.593759i | \(-0.202357\pi\) |
−0.874363 | + | 0.485272i | \(0.838721\pi\) | |||||||
\(374\) | −7.38946 | − | 6.40300i | −0.382100 | − | 0.331091i | ||||
\(375\) | 18.9549 | + | 0.844421i | 0.978828 | + | 0.0436057i | ||||
\(376\) | −3.72753 | + | 1.09450i | −0.192233 | + | 0.0564447i | ||||
\(377\) | 1.68459 | − | 2.62128i | 0.0867609 | − | 0.135003i | ||||
\(378\) | 7.08916 | − | 3.31703i | 0.364627 | − | 0.170609i | ||||
\(379\) | 4.75595 | − | 2.17197i | 0.244297 | − | 0.111567i | −0.289504 | − | 0.957177i | \(-0.593490\pi\) |
0.533801 | + | 0.845610i | \(0.320763\pi\) | |||||||
\(380\) | 6.99305 | − | 3.19362i | 0.358736 | − | 0.163829i | ||||
\(381\) | −30.7408 | + | 7.55799i | −1.57490 | + | 0.387207i | ||||
\(382\) | −10.5692 | + | 16.4460i | −0.540766 | + | 0.841449i | ||||
\(383\) | 8.76661 | − | 2.57411i | 0.447953 | − | 0.131531i | −0.0499728 | − | 0.998751i | \(-0.515913\pi\) |
0.497926 | + | 0.867220i | \(0.334095\pi\) | |||||||
\(384\) | 0.0770845 | − | 1.73033i | 0.00393370 | − | 0.0883008i | ||||
\(385\) | −3.68407 | − | 3.19227i | −0.187758 | − | 0.162693i | ||||
\(386\) | 1.27215 | + | 1.97951i | 0.0647509 | + | 0.100754i | ||||
\(387\) | 4.36225 | − | 5.61794i | 0.221746 | − | 0.285576i | ||||
\(388\) | −4.76780 | + | 16.2376i | −0.242048 | + | 0.824341i | ||||
\(389\) | 10.8067 | − | 23.6633i | 0.547919 | − | 1.19978i | −0.409827 | − | 0.912163i | \(-0.634411\pi\) |
0.957747 | − | 0.287613i | \(-0.0928617\pi\) | |||||||
\(390\) | 2.78312 | − | 0.274410i | 0.140929 | − | 0.0138953i | ||||
\(391\) | −18.5462 | − | 5.31571i | −0.937921 | − | 0.268827i | ||||
\(392\) | 4.73115i | 0.238959i | ||||||||
\(393\) | 11.3495 | − | 33.1219i | 0.572506 | − | 1.67078i | ||||
\(394\) | −8.87641 | − | 2.60635i | −0.447187 | − | 0.131306i | ||||
\(395\) | −7.54746 | + | 6.53991i | −0.379754 | + | 0.329059i | ||||
\(396\) | −5.24606 | + | 5.06417i | −0.263624 | + | 0.254484i | ||||
\(397\) | 3.14036 | − | 3.62417i | 0.157610 | − | 0.181892i | −0.671452 | − | 0.741048i | \(-0.734329\pi\) |
0.829063 | + | 0.559156i | \(0.188875\pi\) | |||||||
\(398\) | −1.89121 | + | 13.1536i | −0.0947977 | + | 0.659333i | ||||
\(399\) | −5.64147 | − | 13.9669i | −0.282427 | − | 0.699218i | ||||
\(400\) | −2.71477 | − | 1.74468i | −0.135739 | − | 0.0872339i | ||||
\(401\) | 1.11136 | + | 7.72970i | 0.0554988 | + | 0.386003i | 0.998572 | + | 0.0534182i | \(0.0170116\pi\) |
−0.943073 | + | 0.332585i | \(0.892079\pi\) | |||||||
\(402\) | −14.7036 | + | 8.54965i | −0.733351 | + | 0.426418i | ||||
\(403\) | −2.88309 | − | 6.31309i | −0.143617 | − | 0.314477i | ||||
\(404\) | −1.43886 | + | 0.206877i | −0.0715861 | + | 0.0102925i | ||||
\(405\) | 11.7942 | + | 2.12277i | 0.586057 | + | 0.105481i | ||||
\(406\) | −1.09044 | − | 3.71369i | −0.0541176 | − | 0.184307i | ||||
\(407\) | 22.0985 | + | 3.17729i | 1.09538 | + | 0.157492i | ||||
\(408\) | 4.02422 | − | 5.68822i | 0.199228 | − | 0.281609i | ||||
\(409\) | −3.44698 | + | 2.21524i | −0.170442 | + | 0.109537i | −0.623081 | − | 0.782158i | \(-0.714119\pi\) |
0.452638 | + | 0.891694i | \(0.350483\pi\) | |||||||
\(410\) | −10.1982 | − | 11.7694i | −0.503655 | − | 0.581248i | ||||
\(411\) | −0.553825 | + | 2.92192i | −0.0273182 | + | 0.144128i | ||||
\(412\) | −11.4095 | − | 5.21054i | −0.562106 | − | 0.256705i | ||||
\(413\) | 2.74222 | 0.134936 | ||||||||
\(414\) | −5.17826 | + | 13.4233i | −0.254498 | + | 0.659720i | ||||
\(415\) | −9.66222 | −0.474300 | ||||||||
\(416\) | −1.10304 | − | 0.503740i | −0.0540809 | − | 0.0246979i | ||||
\(417\) | 2.98073 | − | 15.7260i | 0.145967 | − | 0.770107i | ||||
\(418\) | 9.18972 | + | 10.6055i | 0.449484 | + | 0.518732i | ||||
\(419\) | 10.6842 | − | 6.86634i | 0.521959 | − | 0.335443i | −0.252988 | − | 0.967470i | \(-0.581413\pi\) |
0.774946 | + | 0.632027i | \(0.217777\pi\) | |||||||
\(420\) | 2.00630 | − | 2.83591i | 0.0978976 | − | 0.138378i | ||||
\(421\) | −13.9088 | − | 1.99979i | −0.677874 | − | 0.0974636i | −0.205226 | − | 0.978715i | \(-0.565793\pi\) |
−0.472649 | + | 0.881251i | \(0.656702\pi\) | |||||||
\(422\) | −1.89974 | − | 6.46992i | −0.0924778 | − | 0.314951i | ||||
\(423\) | −4.26487 | + | 10.8463i | −0.207365 | + | 0.527367i | ||||
\(424\) | −7.43870 | + | 1.06952i | −0.361255 | + | 0.0519406i | ||||
\(425\) | −5.39291 | − | 11.8088i | −0.261595 | − | 0.572813i | ||||
\(426\) | −4.48803 | + | 2.60963i | −0.217446 | + | 0.126437i | ||||
\(427\) | −0.399748 | − | 2.78031i | −0.0193452 | − | 0.134549i | ||||
\(428\) | −5.55431 | − | 3.56954i | −0.268478 | − | 0.172540i | ||||
\(429\) | 1.91188 | + | 4.73333i | 0.0923064 | + | 0.228528i | ||||
\(430\) | 0.449274 | − | 3.12477i | 0.0216659 | − | 0.150690i | ||||
\(431\) | 2.00344 | − | 2.31209i | 0.0965023 | − | 0.111370i | −0.705444 | − | 0.708766i | \(-0.749252\pi\) |
0.801946 | + | 0.597396i | \(0.203798\pi\) | |||||||
\(432\) | −3.95827 | − | 3.36632i | −0.190442 | − | 0.161962i | ||||
\(433\) | −21.3204 | + | 18.4743i | −1.02459 | + | 0.887816i | −0.993741 | − | 0.111708i | \(-0.964368\pi\) |
−0.0308532 | + | 0.999524i | \(0.509822\pi\) | |||||||
\(434\) | −8.27172 | − | 2.42880i | −0.397055 | − | 0.116586i | ||||
\(435\) | 1.92098 | − | 5.60612i | 0.0921040 | − | 0.268793i | ||||
\(436\) | − | 18.5551i | − | 0.888627i | ||||||
\(437\) | 25.2612 | + | 11.3397i | 1.20841 | + | 0.542451i | ||||
\(438\) | 22.9287 | − | 2.26072i | 1.09558 | − | 0.108022i | ||||
\(439\) | 3.51792 | − | 7.70317i | 0.167901 | − | 0.367652i | −0.806913 | − | 0.590670i | \(-0.798864\pi\) |
0.974814 | + | 0.223018i | \(0.0715908\pi\) | |||||||
\(440\) | −0.911768 | + | 3.10520i | −0.0434668 | + | 0.148034i | ||||
\(441\) | 11.2107 | + | 8.70491i | 0.533841 | + | 0.414520i | ||||
\(442\) | −2.63735 | − | 4.10380i | −0.125446 | − | 0.195198i | ||||
\(443\) | −14.7610 | − | 12.7905i | −0.701318 | − | 0.607695i | 0.229444 | − | 0.973322i | \(-0.426309\pi\) |
−0.930762 | + | 0.365627i | \(0.880855\pi\) | |||||||
\(444\) | −0.708066 | + | 15.8941i | −0.0336033 | + | 0.754302i | ||||
\(445\) | −10.4849 | + | 3.07863i | −0.497030 | + | 0.145941i | ||||
\(446\) | 14.9871 | − | 23.3203i | 0.709658 | − | 1.10425i | ||||
\(447\) | −3.76441 | + | 0.925523i | −0.178050 | + | 0.0437757i | ||||
\(448\) | −1.37015 | + | 0.625727i | −0.0647335 | + | 0.0295628i | ||||
\(449\) | 22.2546 | − | 10.1634i | 1.05026 | − | 0.479638i | 0.185931 | − | 0.982563i | \(-0.440470\pi\) |
0.864330 | + | 0.502924i | \(0.167743\pi\) | |||||||
\(450\) | −9.12903 | + | 3.22270i | −0.430347 | + | 0.151920i | ||||
\(451\) | 15.3687 | − | 23.9141i | 0.723683 | − | 1.12607i | ||||
\(452\) | −13.3024 | + | 3.90592i | −0.625690 | + | 0.183719i | ||||
\(453\) | −20.9095 | − | 0.931495i | −0.982414 | − | 0.0437655i | ||||
\(454\) | 5.72718 | + | 4.96263i | 0.268790 | + | 0.232908i | ||||
\(455\) | −1.31487 | − | 2.04598i | −0.0616422 | − | 0.0959171i | ||||
\(456\) | −6.87869 | + | 7.25880i | −0.322124 | + | 0.339925i | ||||
\(457\) | 8.24801 | − | 28.0901i | 0.385826 | − | 1.31400i | −0.506356 | − | 0.862324i | \(-0.669008\pi\) |
0.892182 | − | 0.451677i | \(-0.149174\pi\) | |||||||
\(458\) | 8.24868 | − | 18.0621i | 0.385435 | − | 0.843986i | ||||
\(459\) | −6.07426 | − | 20.0014i | −0.283522 | − | 0.933584i | ||||
\(460\) | 0.949614 | + | 6.31474i | 0.0442760 | + | 0.294426i | ||||
\(461\) | 15.5646i | 0.724916i | 0.932000 | + | 0.362458i | \(0.118062\pi\) | ||||
−0.932000 | + | 0.362458i | \(0.881938\pi\) | |||||||
\(462\) | 5.99868 | + | 2.05549i | 0.279084 | + | 0.0956303i | ||||
\(463\) | 23.2934 | + | 6.83957i | 1.08254 | + | 0.317862i | 0.773894 | − | 0.633316i | \(-0.218306\pi\) |
0.308645 | + | 0.951177i | \(0.400125\pi\) | |||||||
\(464\) | −1.94196 | + | 1.68271i | −0.0901530 | + | 0.0781180i | ||||
\(465\) | −8.19136 | − | 10.3504i | −0.379865 | − | 0.479987i | ||||
\(466\) | −10.4221 | + | 12.0277i | −0.482792 | + | 0.557172i | ||||
\(467\) | 0.00481759 | − | 0.0335070i | 0.000222931 | − | 0.00155052i | −0.989710 | − | 0.143090i | \(-0.954296\pi\) |
0.989933 | + | 0.141540i | \(0.0452052\pi\) | |||||||
\(468\) | −3.22313 | + | 1.68685i | −0.148989 | + | 0.0779748i | ||||
\(469\) | 12.4434 | + | 7.99687i | 0.574582 | + | 0.369261i | ||||
\(470\) | 0.736169 | + | 5.12017i | 0.0339569 | + | 0.236176i | ||||
\(471\) | −8.51422 | − | 14.6427i | −0.392314 | − | 0.674700i | ||||
\(472\) | −0.756280 | − | 1.65602i | −0.0348106 | − | 0.0762246i | ||||
\(473\) | 5.70387 | − | 0.820093i | 0.262264 | − | 0.0377079i | ||||
\(474\) | 5.91713 | − | 11.5650i | 0.271783 | − | 0.531197i | ||||
\(475\) | 5.24925 | + | 17.8773i | 0.240852 | + | 0.820267i | ||||
\(476\) | −5.99783 | − | 0.862358i | −0.274910 | − | 0.0395261i | ||||
\(477\) | −11.1523 | + | 19.5941i | −0.510628 | + | 0.897153i | ||||
\(478\) | −0.380474 | + | 0.244516i | −0.0174025 | + | 0.0111839i | ||||
\(479\) | −1.37930 | − | 1.59179i | −0.0630217 | − | 0.0727309i | 0.723363 | − | 0.690468i | \(-0.242595\pi\) |
−0.786385 | + | 0.617737i | \(0.788050\pi\) | |||||||
\(480\) | −2.26592 | − | 0.429485i | −0.103424 | − | 0.0196032i | ||||
\(481\) | 10.1320 | + | 4.62715i | 0.461981 | + | 0.210980i | ||||
\(482\) | −0.152532 | −0.00694764 | ||||||||
\(483\) | 12.4434 | − | 1.30815i | 0.566196 | − | 0.0595227i | ||||
\(484\) | 5.09256 | 0.231480 | ||||||||
\(485\) | 20.4972 | + | 9.36075i | 0.930729 | + | 0.425050i | ||||
\(486\) | −15.2595 | + | 3.18553i | −0.692185 | + | 0.144499i | ||||
\(487\) | 21.6359 | + | 24.9691i | 0.980415 | + | 1.13146i | 0.991314 | + | 0.131519i | \(0.0419853\pi\) |
−0.0108987 | + | 0.999941i | \(0.503469\pi\) | |||||||
\(488\) | −1.56877 | + | 1.00819i | −0.0710150 | + | 0.0456386i | ||||
\(489\) | 24.0870 | + | 17.0407i | 1.08925 | + | 0.770607i | ||||
\(490\) | 6.23550 | + | 0.896530i | 0.281691 | + | 0.0405011i | ||||
\(491\) | 7.31414 | + | 24.9097i | 0.330082 | + | 1.12416i | 0.942662 | + | 0.333749i | \(0.108314\pi\) |
−0.612580 | + | 0.790409i | \(0.709868\pi\) | |||||||
\(492\) | 18.0342 | + | 9.22708i | 0.813045 | + | 0.415989i | ||||
\(493\) | −10.2318 | + | 1.47111i | −0.460818 | + | 0.0662557i | ||||
\(494\) | 2.90844 | + | 6.36860i | 0.130857 | + | 0.286537i | ||||
\(495\) | 5.68031 | + | 7.87376i | 0.255311 | + | 0.353899i | ||||
\(496\) | 0.814520 | + | 5.66511i | 0.0365730 | + | 0.254371i | ||||
\(497\) | 3.79812 | + | 2.44091i | 0.170369 | + | 0.109490i | ||||
\(498\) | 11.6539 | − | 4.70723i | 0.522225 | − | 0.210936i | ||||
\(499\) | 4.02510 | − | 27.9952i | 0.180188 | − | 1.25324i | −0.676128 | − | 0.736784i | \(-0.736344\pi\) |
0.856316 | − | 0.516451i | \(-0.172747\pi\) | |||||||
\(500\) | −7.17366 | + | 8.27885i | −0.320816 | + | 0.370241i | ||||
\(501\) | −31.4610 | + | 24.8984i | −1.40557 | + | 1.11238i | ||||
\(502\) | 12.5672 | − | 10.8895i | 0.560901 | − | 0.486023i | ||||
\(503\) | −24.3923 | − | 7.16221i | −1.08760 | − | 0.319347i | −0.311683 | − | 0.950186i | \(-0.600893\pi\) |
−0.775914 | + | 0.630839i | \(0.782711\pi\) | |||||||
\(504\) | −1.03827 | + | 4.39791i | −0.0462484 | + | 0.195899i | ||||
\(505\) | 1.93558i | 0.0861320i | ||||||||
\(506\) | −10.5715 | + | 4.91065i | −0.469961 | + | 0.218305i | ||||
\(507\) | −1.95948 | − | 19.8734i | −0.0870234 | − | 0.882609i | ||||
\(508\) | 7.59245 | − | 16.6251i | 0.336860 | − | 0.737621i | ||||
\(509\) | 0.266583 | − | 0.907898i | 0.0118161 | − | 0.0402419i | −0.953374 | − | 0.301792i | \(-0.902415\pi\) |
0.965190 | + | 0.261550i | \(0.0842335\pi\) | |||||||
\(510\) | −6.73432 | − | 6.38167i | −0.298201 | − | 0.282585i | ||||
\(511\) | −10.8326 | − | 16.8558i | −0.479205 | − | 0.745657i | ||||
\(512\) | 0.755750 | + | 0.654861i | 0.0333997 | + | 0.0289410i | ||||
\(513\) | 4.54382 | + | 29.6549i | 0.200615 | + | 1.30930i | ||||
\(514\) | −4.73632 | + | 1.39071i | −0.208910 | + | 0.0613415i | ||||
\(515\) | −9.02937 | + | 14.0500i | −0.397881 | + | 0.619116i | ||||
\(516\) | 0.980437 | + | 3.98776i | 0.0431614 | + | 0.175551i | ||||
\(517\) | −8.58905 | + | 3.92249i | −0.377746 | + | 0.172511i | ||||
\(518\) | 12.5856 | − | 5.74766i | 0.552981 | − | 0.252538i | ||||
\(519\) | −3.73218 | − | 15.1800i | −0.163824 | − | 0.666328i | ||||
\(520\) | −0.872933 | + | 1.35831i | −0.0382807 | + | 0.0595659i | ||||
\(521\) | −38.7495 | + | 11.3779i | −1.69765 | + | 0.498475i | −0.980179 | − | 0.198115i | \(-0.936518\pi\) |
−0.717470 | + | 0.696590i | \(0.754700\pi\) | |||||||
\(522\) | 0.414227 | + | 7.69759i | 0.0181302 | + | 0.336914i | ||||
\(523\) | 20.4738 | + | 17.7406i | 0.895256 | + | 0.775743i | 0.975262 | − | 0.221051i | \(-0.0709487\pi\) |
−0.0800067 | + | 0.996794i | \(0.525494\pi\) | |||||||
\(524\) | 10.9288 | + | 17.0055i | 0.477425 | + | 0.742888i | ||||
\(525\) | 6.11111 | + | 5.79110i | 0.266711 | + | 0.252744i | ||||
\(526\) | −2.51994 | + | 8.58212i | −0.109875 | + | 0.374198i | ||||
\(527\) | −9.56464 | + | 20.9436i | −0.416642 | + | 0.912319i | ||||
\(528\) | −0.413073 | − | 4.18947i | −0.0179767 | − | 0.182323i | ||||
\(529\) | −14.8359 | + | 17.5755i | −0.645038 | + | 0.764150i | ||||
\(530\) | 10.0066i | 0.434660i | ||||||||
\(531\) | −5.31550 | − | 1.25490i | −0.230673 | − | 0.0544581i | ||||
\(532\) | 8.34446 | + | 2.45015i | 0.361778 | + | 0.106228i | ||||
\(533\) | 10.7184 | − | 9.28756i | 0.464266 | − | 0.402289i | ||||
\(534\) | 11.1463 | − | 8.82124i | 0.482347 | − | 0.381732i | ||||
\(535\) | −5.75705 | + | 6.64399i | −0.248899 | + | 0.287245i | ||||
\(536\) | 1.39752 | − | 9.71998i | 0.0603638 | − | 0.419839i | ||||
\(537\) | −35.4586 | + | 14.3224i | −1.53015 | + | 0.618056i | ||||
\(538\) | −19.1282 | − | 12.2930i | −0.824677 | − | 0.529988i | ||||
\(539\) | 1.63650 | + | 11.3821i | 0.0704892 | + | 0.490263i | ||||
\(540\) | −5.18677 | + | 4.57896i | −0.223203 | + | 0.197047i | ||||
\(541\) | 3.24840 | + | 7.11301i | 0.139660 | + | 0.305812i | 0.966518 | − | 0.256598i | \(-0.0826016\pi\) |
−0.826859 | + | 0.562410i | \(0.809874\pi\) | |||||||
\(542\) | 1.49397 | − | 0.214800i | 0.0641715 | − | 0.00922646i | ||||
\(543\) | 4.37671 | + | 2.23931i | 0.187822 | + | 0.0960980i | ||||
\(544\) | 1.13337 | + | 3.85991i | 0.0485929 | + | 0.165492i | ||||
\(545\) | −24.4550 | − | 3.51609i | −1.04754 | − | 0.150613i | ||||
\(546\) | 2.58267 | + | 1.82715i | 0.110528 | + | 0.0781947i | ||||
\(547\) | −2.43890 | + | 1.56738i | −0.104280 | + | 0.0670165i | −0.591741 | − | 0.806128i | \(-0.701559\pi\) |
0.487462 | + | 0.873144i | \(0.337923\pi\) | |||||||
\(548\) | −1.12440 | − | 1.29763i | −0.0480320 | − | 0.0554319i | ||||
\(549\) | −0.497463 | + | 5.57225i | −0.0212312 | + | 0.237818i | ||||
\(550\) | −7.13464 | − | 3.25828i | −0.304222 | − | 0.138934i | ||||
\(551\) | 14.8359 | 0.632032 | ||||||||
\(552\) | −4.22177 | − | 7.15379i | −0.179690 | − | 0.304485i | ||||
\(553\) | −11.2974 | −0.480414 | ||||||||
\(554\) | −2.60339 | − | 1.18893i | −0.110608 | − | 0.0505128i | ||||
\(555\) | 20.8137 | + | 3.94506i | 0.883494 | + | 0.167459i | ||||
\(556\) | 6.05162 | + | 6.98395i | 0.256646 | + | 0.296185i | ||||
\(557\) | 34.8715 | − | 22.4106i | 1.47755 | − | 0.949566i | 0.480177 | − | 0.877171i | \(-0.340572\pi\) |
0.997376 | − | 0.0723944i | \(-0.0230640\pi\) | |||||||
\(558\) | 14.9224 | + | 8.49328i | 0.631714 | + | 0.359549i | ||||
\(559\) | 2.84574 | + | 0.409155i | 0.120362 | + | 0.0173054i | ||||
\(560\) | 0.565051 | + | 1.92439i | 0.0238777 | + | 0.0813201i | ||||
\(561\) | 7.71384 | − | 15.0766i | 0.325679 | − | 0.636535i | ||||
\(562\) | 15.9154 | − | 2.28829i | 0.671351 | − | 0.0965257i | ||||
\(563\) | 1.33950 | + | 2.93310i | 0.0564532 | + | 0.123615i | 0.935756 | − | 0.352647i | \(-0.114718\pi\) |
−0.879303 | + | 0.476263i | \(0.841991\pi\) | |||||||
\(564\) | −3.38236 | − | 5.81696i | −0.142423 | − | 0.244938i | ||||
\(565\) | 2.62715 | + | 18.2722i | 0.110525 | + | 0.768718i | ||||
\(566\) | 1.81166 | + | 1.16428i | 0.0761496 | + | 0.0489384i | ||||
\(567\) | 8.51069 | + | 10.5520i | 0.357415 | + | 0.443143i | ||||
\(568\) | 0.426569 | − | 2.96685i | 0.0178985 | − | 0.124486i | ||||
\(569\) | −22.2924 | + | 25.7268i | −0.934548 | + | 1.07853i | 0.0622101 | + | 0.998063i | \(0.480185\pi\) |
−0.996758 | + | 0.0804623i | \(0.974360\pi\) | |||||||
\(570\) | 8.26338 | + | 10.4414i | 0.346115 | + | 0.437342i | ||||
\(571\) | −4.48979 | + | 3.89042i | −0.187892 | + | 0.162809i | −0.743727 | − | 0.668483i | \(-0.766944\pi\) |
0.555836 | + | 0.831292i | \(0.312398\pi\) | |||||||
\(572\) | −2.82791 | − | 0.830350i | −0.118241 | − | 0.0347187i | ||||
\(573\) | −32.0321 | − | 10.9761i | −1.33816 | − | 0.458531i | ||||
\(574\) | − | 17.6170i | − | 0.735317i | ||||||
\(575\) | −15.4761 | + | 0.100015i | −0.645398 | + | 0.00417091i | ||||
\(576\) | 2.94223 | − | 0.585891i | 0.122593 | − | 0.0244121i | ||||
\(577\) | −7.37948 | + | 16.1588i | −0.307212 | + | 0.672700i | −0.998768 | − | 0.0496227i | \(-0.984198\pi\) |
0.691556 | + | 0.722323i | \(0.256925\pi\) | |||||||
\(578\) | 0.230063 | − | 0.783523i | 0.00956937 | − | 0.0325903i | ||||
\(579\) | −2.80339 | + | 2.95830i | −0.116505 | + | 0.122943i | ||||
\(580\) | 1.84977 | + | 2.87830i | 0.0768075 | + | 0.119515i | ||||
\(581\) | −8.26057 | − | 7.15782i | −0.342706 | − | 0.296957i | ||||
\(582\) | −29.2827 | − | 1.30451i | −1.21381 | − | 0.0540738i | ||||
\(583\) | −17.5259 | + | 5.14608i | −0.725851 | + | 0.213129i | ||||
\(584\) | −7.19166 | + | 11.1904i | −0.297593 | + | 0.463063i | ||||
\(585\) | 1.61245 | + | 4.56762i | 0.0666666 | + | 0.188848i | ||||
\(586\) | 26.2672 | − | 11.9958i | 1.08509 | − | 0.495543i | ||||
\(587\) | 21.6172 | − | 9.87223i | 0.892236 | − | 0.407471i | 0.0840938 | − | 0.996458i | \(-0.473200\pi\) |
0.808142 | + | 0.588987i | \(0.200473\pi\) | |||||||
\(588\) | −7.95761 | + | 1.95647i | −0.328166 | + | 0.0806835i | ||||
\(589\) | 17.8655 | − | 27.7992i | 0.736133 | − | 1.14545i | ||||
\(590\) | −2.32589 | + | 0.682944i | −0.0957555 | + | 0.0281164i | ||||
\(591\) | 0.713120 | − | 16.0076i | 0.0293338 | − | 0.658463i | ||||
\(592\) | −6.94200 | − | 6.01527i | −0.285314 | − | 0.247226i | ||||
\(593\) | 19.8367 | + | 30.8665i | 0.814595 | + | 1.26754i | 0.960512 | + | 0.278238i | \(0.0897505\pi\) |
−0.145917 | + | 0.989297i | \(0.546613\pi\) | |||||||
\(594\) | −10.6871 | − | 6.72948i | −0.438499 | − | 0.276114i | ||||
\(595\) | −2.27312 | + | 7.74153i | −0.0931888 | + | 0.317372i | ||||
\(596\) | 0.929742 | − | 2.03585i | 0.0380837 | − | 0.0833917i | ||||
\(597\) | −22.9060 | + | 2.25848i | −0.937480 | + | 0.0924335i | ||||
\(598\) | −5.75086 | + | 0.864817i | −0.235170 | + | 0.0353650i | ||||
\(599\) | − | 3.46791i | − | 0.141695i | −0.997487 | − | 0.0708474i | \(-0.977430\pi\) | ||
0.997487 | − | 0.0708474i | \(-0.0225703\pi\) | |||||||
\(600\) | 1.81184 | − | 5.28762i | 0.0739681 | − | 0.215866i | ||||
\(601\) | 9.02985 | + | 2.65140i | 0.368335 | + | 0.108153i | 0.460662 | − | 0.887576i | \(-0.347612\pi\) |
−0.0923264 | + | 0.995729i | \(0.529430\pi\) | |||||||
\(602\) | 2.69894 | − | 2.33865i | 0.110001 | − | 0.0953162i | ||||
\(603\) | −20.4606 | − | 21.1954i | −0.833219 | − | 0.863144i | ||||
\(604\) | 7.91339 | − | 9.13254i | 0.321991 | − | 0.371598i | ||||
\(605\) | 0.965014 | − | 6.71182i | 0.0392334 | − | 0.272874i | ||||
\(606\) | −0.942972 | − | 2.33456i | −0.0383056 | − | 0.0948351i | ||||
\(607\) | 29.7961 | + | 19.1488i | 1.20939 | + | 0.777226i | 0.980556 | − | 0.196240i | \(-0.0628732\pi\) |
0.228831 | + | 0.973466i | \(0.426510\pi\) | |||||||
\(608\) | −0.821682 | − | 5.71492i | −0.0333236 | − | 0.231771i | ||||
\(609\) | 5.79536 | − | 3.36980i | 0.234840 | − | 0.136551i | ||||
\(610\) | 1.03149 | + | 2.25864i | 0.0417636 | + | 0.0914496i | ||||
\(611\) | −4.66296 | + | 0.670432i | −0.188643 | + | 0.0271228i | ||||
\(612\) | 11.2315 | + | 4.41633i | 0.454007 | + | 0.178519i | ||||
\(613\) | −3.06093 | − | 10.4246i | −0.123630 | − | 0.421045i | 0.874298 | − | 0.485390i | \(-0.161322\pi\) |
−0.997928 | + | 0.0643452i | \(0.979504\pi\) | |||||||
\(614\) | 9.01695 | + | 1.29644i | 0.363894 | + | 0.0523201i | ||||
\(615\) | 15.5784 | − | 22.0200i | 0.628181 | − | 0.887932i | ||||
\(616\) | −3.07985 | + | 1.97930i | −0.124091 | + | 0.0797482i | ||||
\(617\) | 7.03315 | + | 8.11669i | 0.283144 | + | 0.326765i | 0.879450 | − | 0.475992i | \(-0.157911\pi\) |
−0.596306 | + | 0.802757i | \(0.703365\pi\) | |||||||
\(618\) | 4.04577 | − | 21.3451i | 0.162745 | − | 0.858624i | ||||
\(619\) | −25.0529 | − | 11.4413i | −1.00696 | − | 0.459864i | −0.157502 | − | 0.987519i | \(-0.550344\pi\) |
−0.849459 | + | 0.527655i | \(0.823071\pi\) | |||||||
\(620\) | 7.62078 | 0.306058 | ||||||||
\(621\) | −24.7189 | − | 3.15869i | −0.991934 | − | 0.126754i | ||||
\(622\) | 11.7597 | 0.471522 | ||||||||
\(623\) | −11.2445 | − | 5.13520i | −0.450503 | − | 0.205738i | ||||
\(624\) | 0.391133 | − | 2.06358i | 0.0156579 | − | 0.0826092i | ||||
\(625\) | −1.01449 | − | 1.17078i | −0.0405795 | − | 0.0468312i | ||||
\(626\) | 3.58887 | − | 2.30643i | 0.143440 | − | 0.0921833i | ||||
\(627\) | −14.0378 | + | 19.8424i | −0.560617 | + | 0.792431i | ||||
\(628\) | 9.67970 | + | 1.39173i | 0.386262 | + | 0.0555361i | ||||
\(629\) | −10.4107 | − | 35.4555i | −0.415100 | − | 1.41370i | ||||
\(630\) | 5.59955 | + | 2.20179i | 0.223091 | + | 0.0877215i | ||||
\(631\) | 45.4113 | − | 6.52916i | 1.80779 | − | 0.259922i | 0.845900 | − | 0.533342i | \(-0.179064\pi\) |
0.961895 | + | 0.273421i | \(0.0881551\pi\) | |||||||
\(632\) | 3.11571 | + | 6.82246i | 0.123936 | + | 0.271383i | ||||
\(633\) | 10.0966 | − | 5.87079i | 0.401302 | − | 0.233343i | ||||
\(634\) | 0.754752 | + | 5.24941i | 0.0299750 | + | 0.208481i | ||||
\(635\) | −20.4727 | − | 13.1570i | −0.812432 | − | 0.522119i | ||||
\(636\) | −4.87502 | − | 12.0693i | −0.193307 | − | 0.478580i | ||||
\(637\) | −0.816473 | + | 5.67869i | −0.0323498 | + | 0.224998i | ||||
\(638\) | −4.08988 | + | 4.71997i | −0.161920 | + | 0.186865i | ||||
\(639\) | −6.24523 | − | 6.46953i | −0.247057 | − | 0.255931i | ||||
\(640\) | 1.00630 | − | 0.871960i | 0.0397773 | − | 0.0344672i | ||||
\(641\) | −36.5656 | − | 10.7366i | −1.44425 | − | 0.424071i | −0.536616 | − | 0.843826i | \(-0.680298\pi\) |
−0.907637 | + | 0.419755i | \(0.862116\pi\) | |||||||
\(642\) | 3.70695 | − | 10.8182i | 0.146302 | − | 0.426962i | ||||
\(643\) | − | 11.1469i | − | 0.439592i | −0.975546 | − | 0.219796i | \(-0.929461\pi\) | ||
0.975546 | − | 0.219796i | \(-0.0705392\pi\) | |||||||
\(644\) | −3.86614 | + | 6.10217i | −0.152347 | + | 0.240459i | ||||
\(645\) | 5.44153 | − | 0.536523i | 0.214260 | − | 0.0211256i | ||||
\(646\) | 9.64874 | − | 21.1278i | 0.379625 | − | 0.831262i | ||||
\(647\) | −10.3710 | + | 35.3203i | −0.407726 | + | 1.38859i | 0.458394 | + | 0.888749i | \(0.348425\pi\) |
−0.866120 | + | 0.499837i | \(0.833393\pi\) | |||||||
\(648\) | 4.02516 | − | 8.04973i | 0.158123 | − | 0.316223i | ||||
\(649\) | −2.39226 | − | 3.72243i | −0.0939045 | − | 0.146118i | ||||
\(650\) | −2.95739 | − | 2.56260i | −0.115998 | − | 0.100513i | ||||
\(651\) | 0.664540 | − | 14.9171i | 0.0260454 | − | 0.584647i | ||||
\(652\) | −16.3449 | + | 4.79930i | −0.640117 | + | 0.187955i | ||||
\(653\) | 20.3058 | − | 31.5964i | 0.794627 | − | 1.23646i | −0.173209 | − | 0.984885i | \(-0.555414\pi\) |
0.967837 | − | 0.251579i | \(-0.0809499\pi\) | |||||||
\(654\) | 31.2089 | − | 7.67307i | 1.22037 | − | 0.300041i | ||||
\(655\) | 24.4836 | − | 11.1813i | 0.956654 | − | 0.436889i | ||||
\(656\) | −10.6388 | + | 4.85859i | −0.415377 | + | 0.189696i | ||||
\(657\) | 13.2842 | + | 37.6303i | 0.518264 | + | 1.46810i | ||||
\(658\) | −3.16367 | + | 4.92277i | −0.123333 | + | 0.191909i | ||||
\(659\) | −1.35956 | + | 0.399202i | −0.0529609 | + | 0.0155507i | −0.308106 | − | 0.951352i | \(-0.599695\pi\) |
0.255145 | + | 0.966903i | \(0.417877\pi\) | |||||||
\(660\) | −5.59986 | − | 0.249468i | −0.217974 | − | 0.00971052i | ||||
\(661\) | 9.66401 | + | 8.37391i | 0.375886 | + | 0.325707i | 0.822231 | − | 0.569154i | \(-0.192729\pi\) |
−0.446345 | + | 0.894861i | \(0.647274\pi\) | |||||||
\(662\) | −6.67562 | − | 10.3875i | −0.259455 | − | 0.403720i | ||||
\(663\) | 5.81181 | − | 6.13297i | 0.225712 | − | 0.238185i | ||||
\(664\) | −2.04440 | + | 6.96260i | −0.0793382 | + | 0.270201i | ||||
\(665\) | 4.81045 | − | 10.5334i | 0.186541 | − | 0.408469i | ||||
\(666\) | −27.0261 | + | 5.38175i | −1.04724 | + | 0.208539i | ||||
\(667\) | −3.39538 | + | 11.8463i | −0.131470 | + | 0.458689i | ||||
\(668\) | − | 23.1641i | − | 0.896245i | ||||||
\(669\) | 45.4215 | + | 15.5640i | 1.75610 | + | 0.601740i | ||||
\(670\) | −12.5458 | − | 3.68378i | −0.484686 | − | 0.142317i | ||||
\(671\) | −3.42540 | + | 2.96812i | −0.132236 | + | 0.114583i | ||||
\(672\) | −1.61905 | − | 2.04578i | −0.0624561 | − | 0.0789178i | ||||
\(673\) | 10.6998 | − | 12.3482i | 0.412446 | − | 0.475988i | −0.511075 | − | 0.859536i | \(-0.670753\pi\) |
0.923521 | + | 0.383548i | \(0.125298\pi\) | |||||||
\(674\) | 2.70866 | − | 18.8392i | 0.104334 | − | 0.725658i | ||||
\(675\) | −9.19558 | − | 14.0220i | −0.353938 | − | 0.539707i | ||||
\(676\) | 9.69928 | + | 6.23335i | 0.373049 | + | 0.239744i | ||||
\(677\) | −1.69449 | − | 11.7854i | −0.0651245 | − | 0.452951i | −0.996126 | − | 0.0879359i | \(-0.971973\pi\) |
0.931002 | − | 0.365015i | \(-0.118936\pi\) | |||||||
\(678\) | −12.0705 | − | 20.7588i | −0.463566 | − | 0.797238i | ||||
\(679\) | 10.5893 | + | 23.1873i | 0.406379 | + | 0.889845i | ||||
\(680\) | 5.30199 | − | 0.762312i | 0.203322 | − | 0.0292333i | ||||
\(681\) | −5.97859 | + | 11.6851i | −0.229100 | + | 0.447774i | ||||
\(682\) | 3.91912 | + | 13.3473i | 0.150071 | + | 0.511094i | ||||
\(683\) | 33.7209 | + | 4.84834i | 1.29030 | + | 0.185517i | 0.753080 | − | 0.657929i | \(-0.228567\pi\) |
0.537215 | + | 0.843445i | \(0.319476\pi\) | |||||||
\(684\) | −15.0536 | − | 8.56796i | −0.575587 | − | 0.327604i | ||||
\(685\) | −1.92330 | + | 1.23603i | −0.0734855 | + | 0.0472263i | ||||
\(686\) | 11.5716 | + | 13.3543i | 0.441805 | + | 0.509870i | ||||
\(687\) | 33.7908 | + | 6.40475i | 1.28920 | + | 0.244356i | ||||
\(688\) | −2.15665 | − | 0.984908i | −0.0822214 | − | 0.0375493i | ||||
\(689\) | −9.11307 | −0.347180 | ||||||||
\(690\) | −10.2285 | + | 4.20855i | −0.389391 | + | 0.160217i | ||||
\(691\) | 9.58351 | 0.364574 | 0.182287 | − | 0.983245i | \(-0.441650\pi\) | ||||
0.182287 | + | 0.983245i | \(0.441650\pi\) | |||||||
\(692\) | 8.20959 | + | 3.74919i | 0.312082 | + | 0.142523i | ||||
\(693\) | −0.976629 | + | 10.9396i | −0.0370991 | + | 0.415560i | ||||
\(694\) | 11.1669 | + | 12.8873i | 0.423890 | + | 0.489195i | ||||
\(695\) | 10.3514 | − | 6.65242i | 0.392650 | − | 0.252341i | ||||
\(696\) | −3.63332 | − | 2.57044i | −0.137720 | − | 0.0974324i | ||||
\(697\) | −46.5715 | − | 6.69597i | −1.76402 | − | 0.253628i | ||||
\(698\) | 7.39915 | + | 25.1992i | 0.280062 | + | 0.953804i | ||||
\(699\) | −24.5399 | − | 12.5557i | −0.928186 | − | 0.474900i | ||||
\(700\) | −4.81134 | + | 0.691766i | −0.181852 | + | 0.0261463i | ||||
\(701\) | −20.0434 | − | 43.8890i | −0.757030 | − | 1.65767i | −0.753304 | − | 0.657672i | \(-0.771541\pi\) |
−0.00372652 | − | 0.999993i | \(-0.501186\pi\) | |||||||
\(702\) | −4.17008 | − | 4.72361i | −0.157389 | − | 0.178281i | ||||
\(703\) | 7.54762 | + | 52.4949i | 0.284664 | + | 1.97988i | ||||
\(704\) | 2.04469 | + | 1.31404i | 0.0770620 | + | 0.0495247i | ||||
\(705\) | −8.30750 | + | 3.35555i | −0.312878 | + | 0.126377i | ||||
\(706\) | 1.57132 | − | 10.9288i | 0.0591373 | − | 0.411309i | ||||
\(707\) | −1.43388 | + | 1.65479i | −0.0539268 | + | 0.0622348i | ||||
\(708\) | 2.47262 | − | 1.95685i | 0.0929268 | − | 0.0735428i | ||||
\(709\) | −21.8638 | + | 18.9451i | −0.821111 | + | 0.711497i | −0.960361 | − | 0.278760i | \(-0.910076\pi\) |
0.139250 | + | 0.990257i | \(0.455531\pi\) | |||||||
\(710\) | −3.82938 | − | 1.12441i | −0.143714 | − | 0.0421983i | ||||
\(711\) | 21.8987 | + | 5.16993i | 0.821267 | + | 0.193888i | ||||
\(712\) | 8.20678i | 0.307562i | ||||||||
\(713\) | 18.1085 | + | 20.6275i | 0.678169 | + | 0.772504i | ||||
\(714\) | −1.02983 | − | 10.4447i | −0.0385404 | − | 0.390884i | ||||
\(715\) | −1.63025 | + | 3.56975i | −0.0609679 | + | 0.133501i | ||||
\(716\) | 6.22036 | − | 21.1846i | 0.232466 | − | 0.791706i | ||||
\(717\) | −0.568603 | − | 0.538828i | −0.0212349 | − | 0.0201229i | ||||
\(718\) | −11.9296 | − | 18.5628i | −0.445207 | − | 0.692756i | ||||
\(719\) | −0.924609 | − | 0.801178i | −0.0344821 | − | 0.0298789i | 0.637449 | − | 0.770492i | \(-0.279990\pi\) |
−0.671931 | + | 0.740613i | \(0.734535\pi\) | |||||||
\(720\) | −0.214647 | − | 3.98879i | −0.00799942 | − | 0.148653i | ||||
\(721\) | −18.1278 | + | 5.32281i | −0.675115 | + | 0.198232i | ||||
\(722\) | −7.75037 | + | 12.0598i | −0.288439 | + | 0.448820i | ||||
\(723\) | −0.0630764 | − | 0.256553i | −0.00234584 | − | 0.00954130i | ||||
\(724\) | −2.58193 | + | 1.17913i | −0.0959566 | + | 0.0438219i | ||||
\(725\) | −7.54282 | + | 3.44469i | −0.280133 | + | 0.127933i | ||||
\(726\) | 2.10592 | + | 8.56548i | 0.0781581 | + | 0.317895i | ||||
\(727\) | 19.6959 | − | 30.6474i | 0.730480 | − | 1.13665i | −0.255014 | − | 0.966937i | \(-0.582080\pi\) |
0.985494 | − | 0.169711i | \(-0.0542835\pi\) | |||||||
\(728\) | −1.75254 | + | 0.514594i | −0.0649536 | + | 0.0190721i | ||||
\(729\) | −11.6682 | − | 24.3486i | −0.432155 | − | 0.901799i | ||||
\(730\) | 13.3858 | + | 11.5989i | 0.495432 | + | 0.429294i | ||||
\(731\) | −5.15652 | − | 8.02371i | −0.190721 | − | 0.296768i | ||||
\(732\) | −2.34447 | − | 2.22170i | −0.0866541 | − | 0.0821164i | ||||
\(733\) | 5.61590 | − | 19.1260i | 0.207428 | − | 0.706435i | −0.788398 | − | 0.615165i | \(-0.789089\pi\) |
0.995826 | − | 0.0912699i | \(-0.0290926\pi\) | |||||||
\(734\) | −5.29771 | + | 11.6004i | −0.195542 | + | 0.428178i | ||||
\(735\) | 1.07064 | + | 10.8586i | 0.0394910 | + | 0.400526i | ||||
\(736\) | 4.75133 | + | 0.651827i | 0.175136 | + | 0.0240266i | ||||
\(737\) | − | 23.8676i | − | 0.879174i | ||||||
\(738\) | −8.06190 | + | 34.1485i | −0.296763 | + | 1.25702i | ||||
\(739\) | −3.64871 | − | 1.07136i | −0.134220 | − | 0.0394105i | 0.213933 | − | 0.976848i | \(-0.431373\pi\) |
−0.348153 | + | 0.937438i | \(0.613191\pi\) | |||||||
\(740\) | −9.24340 | + | 8.00945i | −0.339794 | + | 0.294433i | ||||
\(741\) | −9.50901 | + | 7.52549i | −0.349322 | + | 0.276456i | ||||
\(742\) | −7.41296 | + | 8.55501i | −0.272138 | + | 0.314064i | ||||
\(743\) | 1.64081 | − | 11.4121i | 0.0601953 | − | 0.418668i | −0.937335 | − | 0.348430i | \(-0.886715\pi\) |
0.997530 | − | 0.0702381i | \(-0.0223759\pi\) | |||||||
\(744\) | −9.19167 | + | 3.71268i | −0.336983 | + | 0.136114i | ||||
\(745\) | −2.50700 | − | 1.61115i | −0.0918495 | − | 0.0590281i | ||||
\(746\) | 0.354451 | + | 2.46526i | 0.0129774 | + | 0.0902597i | ||||
\(747\) | 12.7366 | + | 17.6549i | 0.466009 | + | 0.645958i | ||||
\(748\) | 4.06178 | + | 8.89407i | 0.148514 | + | 0.325199i | ||||
\(749\) | −9.84380 | + | 1.41533i | −0.359685 | + | 0.0517149i | ||||
\(750\) | −16.8912 | − | 8.64227i | −0.616780 | − | 0.315571i | ||||
\(751\) | −9.22877 | − | 31.4303i | −0.336763 | − | 1.14691i | −0.937652 | − | 0.347576i | \(-0.887005\pi\) |
0.600889 | − | 0.799332i | \(-0.294813\pi\) | |||||||
\(752\) | 3.84536 | + | 0.552879i | 0.140226 | + | 0.0201614i | ||||
\(753\) | 23.5126 | + | 16.6344i | 0.856849 | + | 0.606190i | ||||
\(754\) | −2.62128 | + | 1.68459i | −0.0954613 | + | 0.0613492i | ||||
\(755\) | −10.5368 | − | 12.1602i | −0.383475 | − | 0.442553i | ||||
\(756\) | −7.82647 | + | 0.0723286i | −0.284646 | + | 0.00263057i | ||||
\(757\) | 22.4650 | + | 10.2594i | 0.816505 | + | 0.372885i | 0.779479 | − | 0.626429i | \(-0.215484\pi\) |
0.0370266 | + | 0.999314i | \(0.488211\pi\) | |||||||
\(758\) | −5.22844 | −0.189905 | ||||||||
\(759\) | −12.6312 | − | 15.7502i | −0.458482 | − | 0.571694i | ||||
\(760\) | −7.68778 | −0.278865 | ||||||||
\(761\) | −29.5520 | − | 13.4959i | −1.07126 | − | 0.489228i | −0.199871 | − | 0.979822i | \(-0.564052\pi\) |
−0.871388 | + | 0.490594i | \(0.836780\pi\) | |||||||
\(762\) | 31.1025 | + | 5.89521i | 1.12673 | + | 0.213561i | ||||
\(763\) | −18.3027 | − | 21.1224i | −0.662601 | − | 0.764683i | ||||
\(764\) | 16.4460 | − | 10.5692i | 0.594994 | − | 0.382380i | ||||
\(765\) | 7.94888 | − | 13.9659i | 0.287393 | − | 0.504937i | ||||
\(766\) | −9.04371 | − | 1.30029i | −0.326763 | − | 0.0469814i | ||||
\(767\) | −0.621959 | − | 2.11820i | −0.0224577 | − | 0.0764837i | ||||
\(768\) | −0.788926 | + | 1.54195i | −0.0284679 | + | 0.0556402i | ||||
\(769\) | 36.9236 | − | 5.30882i | 1.33150 | − | 0.191441i | 0.560436 | − | 0.828198i | \(-0.310634\pi\) |
0.771064 | + | 0.636757i | \(0.219725\pi\) | |||||||
\(770\) | 2.02503 | + | 4.43420i | 0.0729771 | + | 0.159798i | ||||
\(771\) | −4.29772 | − | 7.39120i | −0.154779 | − | 0.266188i | ||||
\(772\) | −0.334874 | − | 2.32910i | −0.0120524 | − | 0.0838261i | ||||
\(773\) | −7.59804 | − | 4.88296i | −0.273282 | − | 0.175628i | 0.396820 | − | 0.917896i | \(-0.370114\pi\) |
−0.670103 | + | 0.742268i | \(0.733750\pi\) | |||||||
\(774\) | −6.30182 | + | 3.29812i | −0.226514 | + | 0.118548i | ||||
\(775\) | −2.62850 | + | 18.2816i | −0.0944186 | + | 0.656695i | ||||
\(776\) | 11.0823 | − | 12.7897i | 0.397831 | − | 0.459122i | ||||
\(777\) | 14.8719 | + | 18.7917i | 0.533526 | + | 0.674149i | ||||
\(778\) | −19.6602 | + | 17.0356i | −0.704851 | + | 0.610757i | ||||
\(779\) | 64.7923 | + | 19.0247i | 2.32143 | + | 0.681632i | ||||
\(780\) | −2.64561 | − | 0.906538i | −0.0947280 | − | 0.0324593i | ||||
\(781\) | − | 7.28516i | − | 0.260684i | ||||||
\(782\) | 14.6620 | + | 12.5397i | 0.524312 | + | 0.448419i | ||||
\(783\) | −12.7758 | + | 3.87990i | −0.456568 | + | 0.138656i | ||||
\(784\) | 1.96539 | − | 4.30361i | 0.0701926 | − | 0.153700i | ||||
\(785\) | 3.66851 | − | 12.4938i | 0.130935 | − | 0.445923i | ||||
\(786\) | −24.0832 | + | 25.4140i | −0.859020 | + | 0.906489i | ||||
\(787\) | −28.2626 | − | 43.9774i | −1.00745 | − | 1.56763i | −0.809250 | − | 0.587464i | \(-0.800126\pi\) |
−0.198202 | − | 0.980161i | \(-0.563510\pi\) | |||||||
\(788\) | 6.99155 | + | 6.05821i | 0.249064 | + | 0.215815i | ||||
\(789\) | −15.4769 | − | 0.689477i | −0.550991 | − | 0.0245460i | ||||
\(790\) | 9.58219 | − | 2.81358i | 0.340919 | − | 0.100103i | ||||
\(791\) | −11.2901 | + | 17.5678i | −0.401430 | + | 0.624637i | ||||
\(792\) | 6.87572 | − | 2.42724i | 0.244318 | − | 0.0862484i | ||||
\(793\) | −2.05695 | + | 0.939377i | −0.0730444 | + | 0.0333583i | ||||
\(794\) | −4.36210 | + | 1.99211i | −0.154805 | + | 0.0706972i | ||||
\(795\) | −16.8308 | + | 4.13803i | −0.596925 | + | 0.146761i | ||||
\(796\) | 7.18452 | − | 11.1793i | 0.254649 | − | 0.396241i | ||||
\(797\) | −4.32636 | + | 1.27033i | −0.153247 | + | 0.0449975i | −0.357456 | − | 0.933930i | \(-0.616356\pi\) |
0.204209 | + | 0.978927i | \(0.434538\pi\) | |||||||
\(798\) | −0.670384 | + | 15.0483i | −0.0237313 | + | 0.532703i | ||||
\(799\) | 11.8112 | + | 10.2344i | 0.417849 | + | 0.362068i | ||||
\(800\) | 1.74468 | + | 2.71477i | 0.0616837 | + | 0.0959817i | ||||
\(801\) | 19.4463 | + | 15.0998i | 0.687101 | + | 0.533524i | ||||
\(802\) | 2.20010 | − | 7.49286i | 0.0776883 | − | 0.264582i | ||||
\(803\) | −13.4308 | + | 29.4094i | −0.473963 | + | 1.03783i | ||||
\(804\) | 16.9266 | − | 1.66892i | 0.596953 | − | 0.0588583i | ||||
\(805\) | 7.30985 | + | 6.25177i | 0.257638 | + | 0.220346i | ||||
\(806\) | 6.94027i | 0.244461i | ||||||||
\(807\) | 12.7662 | − | 37.2565i | 0.449392 | − | 1.31149i | ||||
\(808\) | 1.39478 | + | 0.409543i | 0.0490680 | + | 0.0144077i | ||||
\(809\) | −10.3532 | + | 8.97113i | −0.364000 | + | 0.315408i | −0.817588 | − | 0.575804i | \(-0.804689\pi\) |
0.453588 | + | 0.891212i | \(0.350144\pi\) | |||||||
\(810\) | −9.84652 | − | 6.83041i | −0.345972 | − | 0.239996i | ||||
\(811\) | 2.09191 | − | 2.41419i | 0.0734568 | − | 0.0847737i | −0.717832 | − | 0.696217i | \(-0.754865\pi\) |
0.791288 | + | 0.611443i | \(0.209411\pi\) | |||||||
\(812\) | −0.550826 | + | 3.83108i | −0.0193302 | + | 0.134444i | ||||
\(813\) | 0.979086 | + | 2.42397i | 0.0343381 | + | 0.0850124i | ||||
\(814\) | −18.7816 | − | 12.0702i | −0.658295 | − | 0.423061i | ||||
\(815\) | 3.22804 | + | 22.4515i | 0.113073 | + | 0.786442i | ||||
\(816\) | −6.02353 | + | 3.50247i | −0.210866 | + | 0.122611i | ||||
\(817\) | 5.68655 | + | 12.4518i | 0.198947 | + | 0.435634i | ||||
\(818\) | 4.05573 | − | 0.583126i | 0.141805 | − | 0.0203885i | ||||
\(819\) | −2.00518 | + | 5.09953i | −0.0700667 | + | 0.178192i | ||||
\(820\) | 4.38746 | + | 14.9423i | 0.153217 | + | 0.521808i | ||||
\(821\) | 7.79590 | + | 1.12088i | 0.272079 | + | 0.0391190i | 0.277004 | − | 0.960869i | \(-0.410659\pi\) |
−0.00492485 | + | 0.999988i | \(0.501568\pi\) | |||||||
\(822\) | 1.71759 | − | 2.42781i | 0.0599077 | − | 0.0846795i | ||||
\(823\) | −5.83281 | + | 3.74852i | −0.203319 | + | 0.130665i | −0.638338 | − | 0.769756i | \(-0.720378\pi\) |
0.435019 | + | 0.900421i | \(0.356742\pi\) | |||||||
\(824\) | 8.21391 | + | 9.47936i | 0.286145 | + | 0.330229i | ||||
\(825\) | 2.52992 | − | 13.3476i | 0.0880804 | − | 0.464703i | ||||
\(826\) | −2.49442 | − | 1.13916i | −0.0867918 | − | 0.0396365i | ||||
\(827\) | 4.30041 | 0.149540 | 0.0747700 | − | 0.997201i | \(-0.476178\pi\) | ||||
0.0747700 | + | 0.997201i | \(0.476178\pi\) | |||||||
\(828\) | 10.2866 | − | 10.0592i | 0.357483 | − | 0.349580i | ||||
\(829\) | 26.9212 | 0.935010 | 0.467505 | − | 0.883990i | \(-0.345153\pi\) | ||||
0.467505 | + | 0.883990i | \(0.345153\pi\) | |||||||
\(830\) | 8.78907 | + | 4.01383i | 0.305073 | + | 0.139322i | ||||
\(831\) | 0.923154 | − | 4.87046i | 0.0320239 | − | 0.168955i | ||||
\(832\) | 0.794097 | + | 0.916437i | 0.0275304 | + | 0.0317717i | ||||
\(833\) | 16.0114 | − | 10.2899i | 0.554761 | − | 0.356523i | ||||
\(834\) | −9.24420 | + | 13.0667i | −0.320101 | + | 0.452462i | ||||
\(835\) | −30.5295 | − | 4.38948i | −1.05652 | − | 0.151904i | ||||
\(836\) | −3.95358 | − | 13.4647i | −0.136737 | − | 0.465685i | ||||
\(837\) | −8.11453 | + | 28.6110i | −0.280479 | + | 0.988942i | ||||
\(838\) | −12.5711 | + | 1.80745i | −0.434261 | + | 0.0624374i | ||||
\(839\) | 13.7971 | + | 30.2114i | 0.476329 | + | 1.04301i | 0.983457 | + | 0.181144i | \(0.0579800\pi\) |
−0.507128 | + | 0.861871i | \(0.669293\pi\) | |||||||
\(840\) | −3.00308 | + | 1.74618i | −0.103616 | + | 0.0602490i | ||||
\(841\) | −3.18747 | − | 22.1693i | −0.109913 | − | 0.764459i | ||||
\(842\) | 11.8212 | + | 7.59700i | 0.407384 | + | 0.261810i | ||||
\(843\) | 10.4303 | + | 25.8228i | 0.359239 | + | 0.889385i | ||||
\(844\) | −0.959637 | + | 6.67442i | −0.0330321 | + | 0.229743i | ||||
\(845\) | 10.0533 | − | 11.6021i | 0.345844 | − | 0.399126i | ||||
\(846\) | 8.38519 | − | 8.09448i | 0.288289 | − | 0.278294i | ||||
\(847\) | 5.79718 | − | 5.02328i | 0.199193 | − | 0.172602i | ||||
\(848\) | 7.21077 | + | 2.11727i | 0.247619 | + | 0.0727075i | ||||
\(849\) | −1.20910 | + | 3.52860i | −0.0414963 | + | 0.121101i | ||||
\(850\) | 12.9820i | 0.445279i | ||||||||
\(851\) | −43.6437 | − | 5.98740i | −1.49609 | − | 0.205246i | ||||
\(852\) | 5.16653 | − | 0.509409i | 0.177003 | − | 0.0174521i | ||||
\(853\) | 6.72238 | − | 14.7200i | 0.230170 | − | 0.504002i | −0.758944 | − | 0.651156i | \(-0.774284\pi\) |
0.989113 | + | 0.147155i | \(0.0470115\pi\) | |||||||
\(854\) | −0.791358 | + | 2.69512i | −0.0270797 | + | 0.0922250i | ||||
\(855\) | −14.1449 | + | 18.2165i | −0.483744 | + | 0.622991i | ||||
\(856\) | 3.56954 | + | 5.55431i | 0.122004 | + | 0.189842i | ||||
\(857\) | 18.2978 | + | 15.8551i | 0.625040 | + | 0.541600i | 0.908767 | − | 0.417305i | \(-0.137025\pi\) |
−0.283726 | + | 0.958905i | \(0.591571\pi\) | |||||||
\(858\) | 0.227191 | − | 5.09982i | 0.00775618 | − | 0.174105i | ||||
\(859\) | −16.4629 | + | 4.83395i | −0.561708 | + | 0.164932i | −0.550247 | − | 0.835002i | \(-0.685466\pi\) |
−0.0114610 | + | 0.999934i | \(0.503648\pi\) | |||||||
\(860\) | −1.70675 | + | 2.65575i | −0.0581997 | + | 0.0905605i | ||||
\(861\) | 29.6310 | − | 7.28513i | 1.00982 | − | 0.248277i | ||||
\(862\) | −2.78287 | + | 1.27090i | −0.0947850 | + | 0.0432869i | ||||
\(863\) | −37.9661 | + | 17.3386i | −1.29238 | + | 0.590211i | −0.938565 | − | 0.345103i | \(-0.887844\pi\) |
−0.353818 | + | 0.935314i | \(0.615117\pi\) | |||||||
\(864\) | 2.20215 | + | 4.70644i | 0.0749185 | + | 0.160116i | ||||
\(865\) | 6.49699 | − | 10.1095i | 0.220904 | − | 0.343734i | ||||
\(866\) | 27.0682 | − | 7.94795i | 0.919816 | − | 0.270082i | ||||
\(867\) | 1.41299 | + | 0.0629473i | 0.0479878 | + | 0.00213780i | ||||
\(868\) | 6.51527 | + | 5.64551i | 0.221143 | + | 0.191621i | ||||
\(869\) | 9.85562 | + | 15.3356i | 0.334329 | + | 0.520226i | ||||
\(870\) | −4.07625 | + | 4.30150i | −0.138198 | + | 0.145835i | ||||
\(871\) | 3.35483 | − | 11.4255i | 0.113674 | − | 0.387138i | ||||
\(872\) | −7.70806 | + | 16.8783i | −0.261028 | + | 0.571571i | ||||
\(873\) | −9.91512 | − | 49.7918i | −0.335576 | − | 1.68520i | ||||
\(874\) | −18.2677 | − | 20.8088i | −0.617915 | − | 0.703869i | ||||
\(875\) | 16.5004i | 0.557816i | ||||||||
\(876\) | −21.7958 | − | 7.46851i | −0.736413 | − | 0.252338i | ||||
\(877\) | −42.9657 | − | 12.6159i | −1.45085 | − | 0.426007i | −0.541025 | − | 0.841006i | \(-0.681964\pi\) |
−0.909822 | + | 0.414999i | \(0.863782\pi\) | |||||||
\(878\) | −6.40002 | + | 5.54565i | −0.215990 | + | 0.187157i | ||||
\(879\) | 31.0388 | + | 39.2198i | 1.04691 | + | 1.32285i | ||||
\(880\) | 2.11932 | − | 2.44582i | 0.0714422 | − | 0.0824487i | ||||
\(881\) | −1.12119 | + | 7.79802i | −0.0377737 | + | 0.262722i | −0.999953 | − | 0.00969504i | \(-0.996914\pi\) |
0.962179 | + | 0.272417i | \(0.0878230\pi\) | |||||||
\(882\) | −6.58142 | − | 12.5753i | −0.221608 | − | 0.423434i | ||||
\(883\) | −16.5605 | − | 10.6428i | −0.557305 | − | 0.358158i | 0.231468 | − | 0.972842i | \(-0.425647\pi\) |
−0.788773 | + | 0.614684i | \(0.789283\pi\) | |||||||
\(884\) | 0.694240 | + | 4.82855i | 0.0233498 | + | 0.162402i | ||||
\(885\) | −2.11051 | − | 3.62964i | −0.0709440 | − | 0.122009i | ||||
\(886\) | 8.11374 | + | 17.7666i | 0.272586 | + | 0.596881i | ||||
\(887\) | 41.5040 | − | 5.96737i | 1.39357 | − | 0.200365i | 0.595705 | − | 0.803204i | \(-0.296873\pi\) |
0.797863 | + | 0.602839i | \(0.205964\pi\) | |||||||
\(888\) | 7.24674 | − | 14.1637i | 0.243185 | − | 0.475301i | ||||
\(889\) | −7.75603 | − | 26.4146i | −0.260129 | − | 0.885917i | ||||
\(890\) | 10.8163 | + | 1.55514i | 0.362562 | + | 0.0521285i | ||||
\(891\) | 6.89927 | − | 20.7582i | 0.231134 | − | 0.695426i | ||||
\(892\) | −23.3203 | + | 14.9871i | −0.780822 | + | 0.501804i | ||||
\(893\) | −14.6887 | − | 16.9516i | −0.491538 | − | 0.567265i | ||||
\(894\) | 3.80870 | + | 0.721906i | 0.127382 | + | 0.0241441i | ||||
\(895\) | −26.7419 | − | 12.2126i | −0.893882 | − | 0.408222i | ||||
\(896\) | 1.50627 | 0.0503209 | ||||||||
\(897\) | −3.83274 | − | 9.31509i | −0.127971 | − | 0.311022i | ||||
\(898\) | −24.4655 | −0.816426 | ||||||||
\(899\) | 13.3776 | + | 6.10935i | 0.446169 | + | 0.203758i | ||||
\(900\) | 9.64282 | + | 0.860862i | 0.321427 | + | 0.0286954i | ||||
\(901\) | 19.7981 | + | 22.8482i | 0.659571 | + | 0.761185i | ||||
\(902\) | −23.9141 | + | 15.3687i | −0.796254 | + | 0.511721i | ||||
\(903\) | 5.04961 | + | 3.57242i | 0.168040 | + | 0.118883i | ||||
\(904\) | 13.7228 | + | 1.97304i | 0.456414 | + | 0.0656225i | ||||
\(905\) | 1.06479 | + | 3.62633i | 0.0353947 | + | 0.120543i | ||||
\(906\) | 18.6330 | + | 9.53344i | 0.619040 | + | 0.316727i | ||||
\(907\) | 0.903134 | − | 0.129851i | 0.0299881 | − | 0.00431164i | −0.127304 | − | 0.991864i | \(-0.540633\pi\) |
0.157293 | + | 0.987552i | \(0.449723\pi\) | |||||||
\(908\) | −3.14808 | − | 6.89332i | −0.104473 | − | 0.228763i | ||||
\(909\) | 3.53669 | − | 2.55145i | 0.117305 | − | 0.0846263i | ||||
\(910\) | 0.346119 | + | 2.40731i | 0.0114737 | + | 0.0798015i | ||||
\(911\) | −47.3025 | − | 30.3995i | −1.56720 | − | 1.00718i | −0.980298 | − | 0.197524i | \(-0.936710\pi\) |
−0.586905 | − | 0.809656i | \(-0.699654\pi\) | |||||||
\(912\) | 9.27249 | − | 3.74533i | 0.307043 | − | 0.124020i | ||||
\(913\) | −2.51003 | + | 17.4577i | −0.0830699 | + | 0.577764i | ||||
\(914\) | −19.1717 | + | 22.1253i | −0.634144 | + | 0.731841i | ||||
\(915\) | −3.37239 | + | 2.66893i | −0.111488 | + | 0.0882322i | ||||
\(916\) | −15.0065 | + | 13.0032i | −0.495829 | + | 0.429639i | ||||
\(917\) | 29.2151 | + | 8.57832i | 0.964766 | + | 0.283281i | ||||
\(918\) | −2.78353 | + | 20.7172i | −0.0918702 | + | 0.683771i | ||||
\(919\) | 24.9442i | 0.822834i | 0.911447 | + | 0.411417i | \(0.134966\pi\) | ||||
−0.911447 | + | 0.411417i | \(0.865034\pi\) | |||||||
\(920\) | 1.75944 | − | 6.13857i | 0.0580070 | − | 0.202383i | ||||
\(921\) | 1.54821 | + | 15.7023i | 0.0510153 | + | 0.517407i | ||||
\(922\) | 6.46577 | − | 14.1581i | 0.212939 | − | 0.466271i | ||||
\(923\) | 1.02400 | − | 3.48743i | 0.0337055 | − | 0.114790i | ||||
\(924\) | −4.60271 | − | 4.36169i | −0.151418 | − | 0.143489i | ||||
\(925\) | −16.0259 | − | 24.9367i | −0.526927 | − | 0.819915i | ||||
\(926\) | −18.3472 | − | 15.8979i | −0.602926 | − | 0.522439i | ||||
\(927\) | 37.5746 | − | 2.02199i | 1.23411 | − | 0.0664107i | ||||
\(928\) | 2.46549 | − | 0.723933i | 0.0809337 | − | 0.0237643i | ||||
\(929\) | −12.5312 | + | 19.4990i | −0.411137 | + | 0.639742i | −0.983637 | − | 0.180163i | \(-0.942337\pi\) |
0.572500 | + | 0.819905i | \(0.305974\pi\) | |||||||
\(930\) | 3.15142 | + | 12.8178i | 0.103339 | + | 0.420314i | ||||
\(931\) | −24.8477 | + | 11.3476i | −0.814351 | + | 0.371901i | ||||
\(932\) | 14.4767 | − | 6.61130i | 0.474201 | − | 0.216560i | ||||
\(933\) | 4.86300 | + | 19.7794i | 0.159207 | + | 0.647549i | ||||
\(934\) | −0.0183016 | + | 0.0284778i | −0.000598845 | + | 0.000931821i | ||||
\(935\) | 12.4918 | − | 3.66791i | 0.408525 | − | 0.119954i | ||||
\(936\) | 3.63260 | − | 0.195480i | 0.118735 | − | 0.00638946i | ||||
\(937\) | 8.48804 | + | 7.35493i | 0.277292 | + | 0.240275i | 0.782393 | − | 0.622786i | \(-0.213999\pi\) |
−0.505100 | + | 0.863061i | \(0.668545\pi\) | |||||||
\(938\) | −7.99687 | − | 12.4434i | −0.261107 | − | 0.406291i | ||||
\(939\) | 5.36342 | + | 5.08256i | 0.175029 | + | 0.165863i | ||||
\(940\) | 1.45735 | − | 4.96328i | 0.0475336 | − | 0.161885i | ||||
\(941\) | 18.1293 | − | 39.6976i | 0.590998 | − | 1.29411i | −0.343839 | − | 0.939029i | \(-0.611727\pi\) |
0.934837 | − | 0.355077i | \(-0.115545\pi\) | |||||||
\(942\) | 1.66201 | + | 16.8564i | 0.0541511 | + | 0.549211i | ||||
\(943\) | −30.0194 | + | 47.3816i | −0.977567 | + | 1.54296i | ||||
\(944\) | 1.82054i | 0.0592536i | ||||||||
\(945\) | −1.38775 | + | 10.3287i | −0.0451435 | + | 0.335994i | ||||
\(946\) | −5.52911 | − | 1.62349i | −0.179767 | − | 0.0527843i | ||||
\(947\) | −12.7432 | + | 11.0420i | −0.414097 | + | 0.358817i | −0.836854 | − | 0.547426i | \(-0.815608\pi\) |
0.422757 | + | 0.906243i | \(0.361062\pi\) | |||||||
\(948\) | −10.1867 | + | 8.06180i | −0.330848 | + | 0.261835i | ||||
\(949\) | −10.5632 | + | 12.1905i | −0.342895 | + | 0.395721i | ||||
\(950\) | 2.65161 | − | 18.4424i | 0.0860297 | − | 0.598350i | ||||
\(951\) | −8.51720 | + | 3.44025i | −0.276189 | + | 0.111558i | ||||
\(952\) | 5.09758 | + | 3.27602i | 0.165214 | + | 0.106176i | ||||
\(953\) | −5.98608 | − | 41.6341i | −0.193908 | − | 1.34866i | −0.821540 | − | 0.570151i | \(-0.806885\pi\) |
0.627632 | − | 0.778510i | \(-0.284024\pi\) | |||||||
\(954\) | 18.2842 | − | 13.1906i | 0.591972 | − | 0.427062i | ||||
\(955\) | −10.8134 | − | 23.6780i | −0.349913 | − | 0.766204i | ||||
\(956\) | 0.447667 | − | 0.0643648i | 0.0144786 | − | 0.00208171i | ||||
\(957\) | −9.63009 | − | 4.92717i | −0.311297 | − | 0.159273i | ||||
\(958\) | 0.593397 | + | 2.02093i | 0.0191718 | + | 0.0652932i | ||||
\(959\) | −2.55995 | − | 0.368066i | −0.0826652 | − | 0.0118855i | ||||
\(960\) | 1.88274 | + | 1.33197i | 0.0607650 | + | 0.0429891i | ||||
\(961\) | 1.47802 | − | 0.949868i | 0.0476782 | − | 0.0306409i | ||||
\(962\) | −7.29424 | − | 8.41800i | −0.235176 | − | 0.271407i | ||||
\(963\) | 19.7288 | + | 1.76129i | 0.635752 | + | 0.0567567i | ||||
\(964\) | 0.138748 | + | 0.0633640i | 0.00446877 | + | 0.00204082i | ||||
\(965\) | −3.13313 | −0.100859 | ||||||||
\(966\) | −11.8624 | − | 3.97926i | −0.381666 | − | 0.128031i | ||||
\(967\) | 2.83746 | 0.0912467 | 0.0456233 | − | 0.998959i | \(-0.485473\pi\) | ||||
0.0456233 | + | 0.998959i | \(0.485473\pi\) | |||||||
\(968\) | −4.63235 | − | 2.11552i | −0.148889 | − | 0.0679955i | ||||
\(969\) | 39.5262 | + | 7.49184i | 1.26976 | + | 0.240673i | ||||
\(970\) | −14.7563 | − | 17.0297i | −0.473796 | − | 0.546790i | ||||
\(971\) | −19.9812 | + | 12.8411i | −0.641227 | + | 0.412091i | −0.820451 | − | 0.571717i | \(-0.806278\pi\) |
0.179224 | + | 0.983808i | \(0.442641\pi\) | |||||||
\(972\) | 15.2038 | + | 3.44136i | 0.487664 | + | 0.110382i | ||||
\(973\) | 13.7779 | + | 1.98096i | 0.441699 | + | 0.0635067i | ||||
\(974\) | −9.30813 | − | 31.7006i | −0.298252 | − | 1.01575i | ||||
\(975\) | 3.08722 | − | 6.03393i | 0.0988701 | − | 0.193240i | ||||
\(976\) | 1.84582 | − | 0.265389i | 0.0590834 | − | 0.00849491i | ||||
\(977\) | 15.9516 | + | 34.9292i | 0.510338 | + | 1.11748i | 0.972969 | + | 0.230934i | \(0.0741781\pi\) |
−0.462631 | + | 0.886551i | \(0.653095\pi\) | |||||||
\(978\) | −14.8313 | − | 25.5069i | −0.474254 | − | 0.815620i | ||||
\(979\) | 2.83872 | + | 19.7437i | 0.0907259 | + | 0.631013i | ||||
\(980\) | −5.29958 | − | 3.40583i | −0.169289 | − | 0.108795i | ||||
\(981\) | 25.8116 | + | 49.3192i | 0.824102 | + | 1.57464i | ||||
\(982\) | 3.69468 | − | 25.6970i | 0.117902 | − | 0.820025i | ||||
\(983\) | 35.9135 | − | 41.4464i | 1.14546 | − | 1.32193i | 0.206288 | − | 0.978491i | \(-0.433862\pi\) |
0.939174 | − | 0.343442i | \(-0.111593\pi\) | |||||||
\(984\) | −12.5714 | − | 15.8849i | −0.400763 | − | 0.506393i | ||||
\(985\) | 9.30938 | − | 8.06662i | 0.296622 | − | 0.257024i | ||||
\(986\) | 9.91832 | + | 2.91228i | 0.315864 | + | 0.0927459i | ||||
\(987\) | −9.58818 | − | 3.28546i | −0.305195 | − | 0.104577i | ||||
\(988\) | − | 7.00129i | − | 0.222741i | ||||||
\(989\) | −11.2440 | + | 1.69088i | −0.357539 | + | 0.0537669i | ||||
\(990\) | −1.89611 | − | 9.52191i | −0.0602625 | − | 0.302626i | ||||
\(991\) | 0.417874 | − | 0.915016i | 0.0132742 | − | 0.0290664i | −0.902879 | − | 0.429895i | \(-0.858551\pi\) |
0.916153 | + | 0.400829i | \(0.131278\pi\) | |||||||
\(992\) | 1.61246 | − | 5.49153i | 0.0511956 | − | 0.174356i | ||||
\(993\) | 14.7107 | − | 15.5237i | 0.466831 | − | 0.492628i | ||||
\(994\) | −2.44091 | − | 3.79812i | −0.0774208 | − | 0.120469i | ||||
\(995\) | −13.3726 | − | 11.5874i | −0.423939 | − | 0.367345i | ||||
\(996\) | −12.5562 | − | 0.559367i | −0.397860 | − | 0.0177242i | ||||
\(997\) | 44.4382 | − | 13.0482i | 1.40737 | − | 0.413242i | 0.512163 | − | 0.858888i | \(-0.328844\pi\) |
0.895209 | + | 0.445647i | \(0.147026\pi\) | |||||||
\(998\) | −15.2910 | + | 23.7932i | −0.484027 | + | 0.753161i | ||||
\(999\) | −20.2280 | − | 43.2313i | −0.639985 | − | 1.36778i |
(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 | 138.2.f.a.17.3 | ✓ | 80 | |
3.2 | odd | 2 | inner | 138.2.f.a.17.6 | yes | 80 | |
23.19 | odd | 22 | inner | 138.2.f.a.65.6 | yes | 80 | |
69.65 | even | 22 | inner | 138.2.f.a.65.3 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.f.a.17.3 | ✓ | 80 | 1.1 | even | 1 | trivial | |
138.2.f.a.17.6 | yes | 80 | 3.2 | odd | 2 | inner | |
138.2.f.a.65.3 | yes | 80 | 69.65 | even | 22 | inner | |
138.2.f.a.65.6 | yes | 80 | 23.19 | odd | 22 | inner |