Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(2,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.p (of order \(66\), degree \(20\), 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: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(400\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 2.20 | ||
Character | \(\chi\) | \(=\) | 201.2 |
Dual form | 201.2.p.b.101.20 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{66}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.131747 | − | 2.76571i | 0.0931593 | − | 1.95565i | −0.157357 | − | 0.987542i | \(-0.550297\pi\) |
0.250517 | − | 0.968112i | \(-0.419400\pi\) | |||||||
\(3\) | 1.65925 | − | 0.496888i | 0.957967 | − | 0.286879i | ||||
\(4\) | −5.64086 | − | 0.538637i | −2.82043 | − | 0.269319i | ||||
\(5\) | 0.779337 | − | 0.899403i | 0.348530 | − | 0.402225i | −0.554234 | − | 0.832361i | \(-0.686989\pi\) |
0.902764 | + | 0.430136i | \(0.141534\pi\) | |||||||
\(6\) | −1.15565 | − | 4.65446i | −0.471792 | − | 1.90018i | ||||
\(7\) | −0.762358 | − | 1.47877i | −0.288144 | − | 0.558922i | 0.699687 | − | 0.714449i | \(-0.253323\pi\) |
−0.987832 | + | 0.155527i | \(0.950292\pi\) | |||||||
\(8\) | −1.44479 | + | 10.0487i | −0.510809 | + | 3.55276i | ||||
\(9\) | 2.50620 | − | 1.64892i | 0.835401 | − | 0.549640i | ||||
\(10\) | −2.38481 | − | 2.27392i | −0.754145 | − | 0.719075i | ||||
\(11\) | 1.23371 | + | 3.56457i | 0.371977 | + | 1.07476i | 0.963324 | + | 0.268341i | \(0.0864753\pi\) |
−0.591347 | + | 0.806418i | \(0.701403\pi\) | |||||||
\(12\) | −9.62723 | + | 1.90915i | −2.77914 | + | 0.551123i | ||||
\(13\) | 0.212061 | + | 0.269657i | 0.0588151 | + | 0.0747895i | 0.814571 | − | 0.580064i | \(-0.196973\pi\) |
−0.755756 | + | 0.654854i | \(0.772730\pi\) | |||||||
\(14\) | −4.19029 | + | 1.91364i | −1.11990 | + | 0.511442i | ||||
\(15\) | 0.846210 | − | 1.87958i | 0.218491 | − | 0.485304i | ||||
\(16\) | 16.4733 | + | 3.17496i | 4.11831 | + | 0.793740i | ||||
\(17\) | 0.0743024 | + | 0.778129i | 0.0180210 | + | 0.188724i | 1.00000 | 0.000265966i | \(-8.46596e-5\pi\) | |
−0.981979 | + | 0.188990i | \(0.939479\pi\) | |||||||
\(18\) | −4.23026 | − | 7.14868i | −0.997081 | − | 1.68496i | ||||
\(19\) | −6.68232 | − | 3.44498i | −1.53303 | − | 0.790332i | −0.534533 | − | 0.845148i | \(-0.679512\pi\) |
−0.998496 | + | 0.0548159i | \(0.982543\pi\) | |||||||
\(20\) | −4.88059 | + | 4.65363i | −1.09133 | + | 1.04058i | ||||
\(21\) | −1.99972 | − | 2.07484i | −0.436375 | − | 0.452766i | ||||
\(22\) | 10.0211 | − | 2.94246i | 2.13651 | − | 0.627336i | ||||
\(23\) | 7.15614 | − | 1.73606i | 1.49216 | − | 0.361994i | 0.595008 | − | 0.803720i | \(-0.297149\pi\) |
0.897150 | + | 0.441726i | \(0.145634\pi\) | |||||||
\(24\) | 2.59583 | + | 17.3912i | 0.529871 | + | 3.54996i | ||||
\(25\) | 0.510015 | + | 3.54723i | 0.102003 | + | 0.709446i | ||||
\(26\) | 0.773733 | − | 0.550973i | 0.151741 | − | 0.108055i | ||||
\(27\) | 3.33908 | − | 3.98127i | 0.642607 | − | 0.766196i | ||||
\(28\) | 3.50384 | + | 8.75216i | 0.662163 | + | 1.65400i | ||||
\(29\) | 4.11457 | + | 2.37555i | 0.764057 | + | 0.441128i | 0.830750 | − | 0.556645i | \(-0.187912\pi\) |
−0.0666937 | + | 0.997773i | \(0.521245\pi\) | |||||||
\(30\) | −5.08688 | − | 2.58800i | −0.928733 | − | 0.472503i | ||||
\(31\) | −2.32926 | + | 2.96189i | −0.418347 | + | 0.531971i | −0.948857 | − | 0.315708i | \(-0.897758\pi\) |
0.530510 | + | 0.847679i | \(0.322001\pi\) | |||||||
\(32\) | 6.16446 | − | 25.4103i | 1.08973 | − | 4.49194i | ||||
\(33\) | 3.81822 | + | 5.30149i | 0.664667 | + | 0.922871i | ||||
\(34\) | 2.16187 | − | 0.102983i | 0.370758 | − | 0.0176614i | ||||
\(35\) | −1.92414 | − | 0.466792i | −0.325239 | − | 0.0789022i | ||||
\(36\) | −15.0253 | + | 7.95140i | −2.50422 | + | 1.32523i | ||||
\(37\) | −1.22213 | − | 2.11679i | −0.200917 | − | 0.347998i | 0.747907 | − | 0.663803i | \(-0.231059\pi\) |
−0.948824 | + | 0.315805i | \(0.897725\pi\) | |||||||
\(38\) | −10.4082 | + | 18.0275i | −1.68843 | + | 2.92445i | ||||
\(39\) | 0.485851 | + | 0.342058i | 0.0777984 | + | 0.0547730i | ||||
\(40\) | 7.91187 | + | 9.13078i | 1.25098 | + | 1.44370i | ||||
\(41\) | −2.88543 | − | 4.05202i | −0.450629 | − | 0.632820i | 0.525298 | − | 0.850919i | \(-0.323954\pi\) |
−0.975927 | + | 0.218099i | \(0.930015\pi\) | |||||||
\(42\) | −6.00186 | + | 5.25730i | −0.926106 | + | 0.811220i | ||||
\(43\) | −0.202014 | − | 0.0922565i | −0.0308068 | − | 0.0140690i | 0.399952 | − | 0.916536i | \(-0.369027\pi\) |
−0.430759 | + | 0.902467i | \(0.641754\pi\) | |||||||
\(44\) | −5.03918 | − | 20.7718i | −0.759685 | − | 3.13146i | ||||
\(45\) | 0.470133 | − | 3.53915i | 0.0700833 | − | 0.527586i | ||||
\(46\) | −3.85864 | − | 20.0205i | −0.568926 | − | 2.95187i | ||||
\(47\) | 1.00411 | + | 1.05308i | 0.146464 | + | 0.153607i | 0.792879 | − | 0.609379i | \(-0.208581\pi\) |
−0.646415 | + | 0.762986i | \(0.723733\pi\) | |||||||
\(48\) | 28.9108 | − | 2.91732i | 4.17292 | − | 0.421079i | ||||
\(49\) | 2.45483 | − | 3.44733i | 0.350690 | − | 0.492476i | ||||
\(50\) | 9.87781 | − | 0.943217i | 1.39693 | − | 0.133391i | ||||
\(51\) | 0.509929 | + | 1.25419i | 0.0714044 | + | 0.175622i | ||||
\(52\) | −1.05096 | − | 1.63532i | −0.145742 | − | 0.226779i | ||||
\(53\) | 2.17796 | + | 4.76907i | 0.299166 | + | 0.655082i | 0.998198 | − | 0.0600084i | \(-0.0191127\pi\) |
−0.699032 | + | 0.715090i | \(0.746385\pi\) | |||||||
\(54\) | −10.5711 | − | 9.75947i | −1.43855 | − | 1.32809i | ||||
\(55\) | 4.16746 | + | 1.66840i | 0.561940 | + | 0.224967i | ||||
\(56\) | 15.9612 | − | 5.52421i | 2.13290 | − | 0.738204i | ||||
\(57\) | −12.7994 | − | 2.39570i | −1.69532 | − | 0.317318i | ||||
\(58\) | 7.11217 | − | 11.0667i | 0.933873 | − | 1.45314i | ||||
\(59\) | −11.4109 | − | 1.64063i | −1.48557 | − | 0.213592i | −0.648719 | − | 0.761028i | \(-0.724695\pi\) |
−0.836848 | + | 0.547436i | \(0.815604\pi\) | |||||||
\(60\) | −5.78577 | + | 10.1466i | −0.746939 | + | 1.30992i | ||||
\(61\) | 0.178064 | + | 0.0616287i | 0.0227988 | + | 0.00789075i | 0.338444 | − | 0.940987i | \(-0.390100\pi\) |
−0.315645 | + | 0.948877i | \(0.602221\pi\) | |||||||
\(62\) | 7.88486 | + | 6.83227i | 1.00138 | + | 0.867700i | ||||
\(63\) | −4.34900 | − | 2.44903i | −0.547922 | − | 0.308548i | ||||
\(64\) | −37.2716 | − | 10.9439i | −4.65895 | − | 1.36799i | ||||
\(65\) | 0.407797 | + | 0.0194258i | 0.0505810 | + | 0.00240947i | ||||
\(66\) | 15.1654 | − | 9.86165i | 1.86674 | − | 1.21389i | ||||
\(67\) | −1.51297 | + | 8.04431i | −0.184839 | + | 0.982769i | ||||
\(68\) | − | 4.42934i | − | 0.537137i | ||||||
\(69\) | 11.0112 | − | 6.43636i | 1.32559 | − | 0.774846i | ||||
\(70\) | −1.54451 | + | 5.26013i | −0.184605 | + | 0.628705i | ||||
\(71\) | −1.19449 | + | 12.5092i | −0.141759 | + | 1.48457i | 0.592428 | + | 0.805624i | \(0.298170\pi\) |
−0.734187 | + | 0.678947i | \(0.762436\pi\) | |||||||
\(72\) | 12.9486 | + | 27.5665i | 1.52601 | + | 3.24874i | ||||
\(73\) | −3.38424 | + | 9.77812i | −0.396095 | + | 1.14444i | 0.554009 | + | 0.832511i | \(0.313097\pi\) |
−0.950105 | + | 0.311932i | \(0.899024\pi\) | |||||||
\(74\) | −6.01544 | + | 3.10118i | −0.699281 | + | 0.360504i | ||||
\(75\) | 2.60882 | + | 5.63231i | 0.301240 | + | 0.650364i | ||||
\(76\) | 35.8385 | + | 23.0320i | 4.11095 | + | 2.64195i | ||||
\(77\) | 4.33064 | − | 4.54185i | 0.493523 | − | 0.517592i | ||||
\(78\) | 1.01004 | − | 1.29866i | 0.114365 | − | 0.147044i | ||||
\(79\) | 1.60139 | − | 4.00008i | 0.180170 | − | 0.450044i | −0.810599 | − | 0.585601i | \(-0.800858\pi\) |
0.990769 | + | 0.135558i | \(0.0432826\pi\) | |||||||
\(80\) | 15.6938 | − | 12.3417i | 1.75462 | − | 1.37985i | ||||
\(81\) | 3.56212 | − | 8.26507i | 0.395791 | − | 0.918341i | ||||
\(82\) | −11.5869 | + | 7.44644i | −1.27956 | + | 0.822321i | ||||
\(83\) | 1.42022 | − | 7.36880i | 0.155889 | − | 0.808831i | −0.816836 | − | 0.576870i | \(-0.804274\pi\) |
0.972725 | − | 0.231961i | \(-0.0745141\pi\) | |||||||
\(84\) | 10.1626 | + | 12.7810i | 1.10883 | + | 1.39452i | ||||
\(85\) | 0.757759 | + | 0.539597i | 0.0821905 | + | 0.0585276i | ||||
\(86\) | −0.281770 | + | 0.546557i | −0.0303840 | + | 0.0589367i | ||||
\(87\) | 8.00747 | + | 1.89714i | 0.858491 | + | 0.203395i | ||||
\(88\) | −37.6018 | + | 7.24715i | −4.00836 | + | 0.772549i | ||||
\(89\) | 2.11134 | + | 7.19057i | 0.223802 | + | 0.762199i | 0.992463 | + | 0.122543i | \(0.0391049\pi\) |
−0.768661 | + | 0.639656i | \(0.779077\pi\) | |||||||
\(90\) | −9.72634 | − | 1.76653i | −1.02525 | − | 0.186208i | ||||
\(91\) | 0.237094 | − | 0.519164i | 0.0248542 | − | 0.0544232i | ||||
\(92\) | −41.3019 | + | 5.93832i | −4.30602 | + | 0.619113i | ||||
\(93\) | −2.39308 | + | 6.07189i | −0.248151 | + | 0.629626i | ||||
\(94\) | 3.04480 | − | 2.63833i | 0.314047 | − | 0.272123i | ||||
\(95\) | −8.30620 | + | 3.32530i | −0.852198 | + | 0.341169i | ||||
\(96\) | −2.39769 | − | 45.2250i | −0.244713 | − | 4.61575i | ||||
\(97\) | −10.8682 | + | 6.27473i | −1.10349 | + | 0.637102i | −0.937136 | − | 0.348963i | \(-0.886534\pi\) |
−0.166357 | + | 0.986066i | \(0.553201\pi\) | |||||||
\(98\) | −9.21091 | − | 7.24354i | −0.930442 | − | 0.731708i | ||||
\(99\) | 8.96962 | + | 6.89925i | 0.901481 | + | 0.693401i | ||||
\(100\) | −0.966254 | − | 20.2842i | −0.0966254 | − | 2.02842i | ||||
\(101\) | −0.0717712 | − | 1.50666i | −0.00714150 | − | 0.149919i | −0.999621 | − | 0.0275116i | \(-0.991242\pi\) |
0.992480 | − | 0.122407i | \(-0.0390613\pi\) | |||||||
\(102\) | 3.53591 | − | 1.24508i | 0.350107 | − | 0.123282i | ||||
\(103\) | 2.09500 | + | 1.64752i | 0.206426 | + | 0.162335i | 0.716020 | − | 0.698080i | \(-0.245962\pi\) |
−0.509594 | + | 0.860415i | \(0.670204\pi\) | |||||||
\(104\) | −3.01609 | + | 1.74134i | −0.295752 | + | 0.170753i | ||||
\(105\) | −3.42457 | + | 0.181560i | −0.334204 | + | 0.0177185i | ||||
\(106\) | 13.4768 | − | 5.39530i | 1.30898 | − | 0.524038i | ||||
\(107\) | −8.96978 | + | 7.77236i | −0.867141 | + | 0.751382i | −0.969946 | − | 0.243320i | \(-0.921764\pi\) |
0.102805 | + | 0.994702i | \(0.467218\pi\) | |||||||
\(108\) | −20.9798 | + | 20.6593i | −2.01878 | + | 1.98794i | ||||
\(109\) | 7.92500 | − | 1.13944i | 0.759078 | − | 0.109139i | 0.248102 | − | 0.968734i | \(-0.420193\pi\) |
0.510976 | + | 0.859595i | \(0.329284\pi\) | |||||||
\(110\) | 5.16336 | − | 11.3062i | 0.492308 | − | 1.07800i | ||||
\(111\) | −3.07962 | − | 2.90502i | −0.292305 | − | 0.275732i | ||||
\(112\) | −7.86349 | − | 26.7806i | −0.743030 | − | 2.53053i | ||||
\(113\) | 3.01787 | − | 0.581647i | 0.283897 | − | 0.0547167i | −0.0453146 | − | 0.998973i | \(-0.514429\pi\) |
0.329212 | + | 0.944256i | \(0.393217\pi\) | |||||||
\(114\) | −8.31210 | + | 35.0838i | −0.778500 | + | 3.28590i | ||||
\(115\) | 4.01563 | − | 7.78923i | 0.374459 | − | 0.726350i | ||||
\(116\) | −21.9302 | − | 15.6164i | −2.03617 | − | 1.44995i | ||||
\(117\) | 0.976111 | + | 0.326145i | 0.0902415 | + | 0.0301521i | ||||
\(118\) | −6.04087 | + | 31.3430i | −0.556107 | + | 2.88536i | ||||
\(119\) | 1.09403 | − | 0.703089i | 0.100289 | − | 0.0644521i | ||||
\(120\) | 17.6647 | + | 11.2189i | 1.61256 | + | 1.02414i | ||||
\(121\) | −2.53754 | + | 1.99554i | −0.230685 | + | 0.181413i | ||||
\(122\) | 0.193907 | − | 0.484356i | 0.0175555 | − | 0.0438515i | ||||
\(123\) | −6.80105 | − | 5.28957i | −0.613230 | − | 0.476945i | ||||
\(124\) | 14.7344 | − | 15.4530i | 1.32319 | − | 1.38772i | ||||
\(125\) | 8.59366 | + | 5.52281i | 0.768640 | + | 0.493975i | ||||
\(126\) | −7.34627 | + | 11.7054i | −0.654458 | + | 1.04280i | ||||
\(127\) | −9.51314 | + | 4.90437i | −0.844155 | + | 0.435192i | −0.825344 | − | 0.564631i | \(-0.809019\pi\) |
−0.0188115 | + | 0.999823i | \(0.505988\pi\) | |||||||
\(128\) | −18.0743 | + | 52.2222i | −1.59755 | + | 4.61583i | ||||
\(129\) | −0.381032 | − | 0.0526982i | −0.0335480 | − | 0.00463982i | ||||
\(130\) | 0.107452 | − | 1.12529i | 0.00942419 | − | 0.0986946i | ||||
\(131\) | 2.09135 | − | 7.12249i | 0.182722 | − | 0.622295i | −0.816281 | − | 0.577655i | \(-0.803968\pi\) |
0.999003 | − | 0.0446398i | \(-0.0142140\pi\) | |||||||
\(132\) | −18.6825 | − | 31.9616i | −1.62610 | − | 2.78190i | ||||
\(133\) | 12.5079i | 1.08457i | ||||||||
\(134\) | 22.0489 | + | 5.24427i | 1.90474 | + | 0.453036i | ||||
\(135\) | −0.978496 | − | 6.10593i | −0.0842155 | − | 0.525515i | ||||
\(136\) | −7.92655 | − | 0.377588i | −0.679696 | − | 0.0323779i | ||||
\(137\) | −1.07414 | − | 0.315396i | −0.0917700 | − | 0.0269461i | 0.235525 | − | 0.971868i | \(-0.424319\pi\) |
−0.327295 | + | 0.944922i | \(0.606137\pi\) | |||||||
\(138\) | −16.3504 | − | 31.3017i | −1.39184 | − | 2.66458i | ||||
\(139\) | −9.15237 | − | 7.93057i | −0.776294 | − | 0.672662i | 0.173746 | − | 0.984790i | \(-0.444413\pi\) |
−0.950040 | + | 0.312128i | \(0.898958\pi\) | |||||||
\(140\) | 10.6024 | + | 3.66952i | 0.896066 | + | 0.310131i | ||||
\(141\) | 2.18933 | + | 1.24839i | 0.184375 | + | 0.105133i | ||||
\(142\) | 34.4395 | + | 4.95166i | 2.89010 | + | 0.415534i | ||||
\(143\) | −0.699591 | + | 1.08858i | −0.0585027 | + | 0.0910320i | ||||
\(144\) | 46.5206 | − | 19.2060i | 3.87672 | − | 1.60050i | ||||
\(145\) | 5.34321 | − | 1.84930i | 0.443730 | − | 0.153576i | ||||
\(146\) | 26.5976 | + | 10.6481i | 2.20123 | + | 0.881241i | ||||
\(147\) | 2.36024 | − | 6.93975i | 0.194669 | − | 0.572381i | ||||
\(148\) | 5.75368 | + | 12.5988i | 0.472950 | + | 1.03562i | ||||
\(149\) | 9.56856 | + | 14.8890i | 0.783887 | + | 1.21975i | 0.971390 | + | 0.237488i | \(0.0763241\pi\) |
−0.187503 | + | 0.982264i | \(0.560039\pi\) | |||||||
\(150\) | 15.9211 | − | 6.47320i | 1.29995 | − | 0.528535i | ||||
\(151\) | −9.78927 | + | 0.934762i | −0.796639 | + | 0.0760698i | −0.485435 | − | 0.874273i | \(-0.661339\pi\) |
−0.311205 | + | 0.950343i | \(0.600733\pi\) | |||||||
\(152\) | 44.2721 | − | 62.1715i | 3.59094 | − | 5.04277i | ||||
\(153\) | 1.46929 | + | 1.82763i | 0.118785 | + | 0.147755i | ||||
\(154\) | −11.9909 | − | 12.5757i | −0.966254 | − | 1.01338i | ||||
\(155\) | 0.848657 | + | 4.40325i | 0.0681658 | + | 0.353678i | ||||
\(156\) | −2.55637 | − | 2.19120i | −0.204674 | − | 0.175436i | ||||
\(157\) | 0.220370 | + | 0.908378i | 0.0175875 | + | 0.0724965i | 0.979929 | − | 0.199347i | \(-0.0638820\pi\) |
−0.962342 | + | 0.271843i | \(0.912367\pi\) | |||||||
\(158\) | −10.8521 | − | 4.95598i | −0.863345 | − | 0.394276i | ||||
\(159\) | 5.98347 | + | 6.83086i | 0.474520 | + | 0.541723i | ||||
\(160\) | −18.0499 | − | 25.3475i | −1.42697 | − | 2.00390i | ||||
\(161\) | −8.02277 | − | 9.25877i | −0.632283 | − | 0.729693i | ||||
\(162\) | −22.3895 | − | 10.9407i | −1.75908 | − | 0.859582i | ||||
\(163\) | 4.39917 | − | 7.61959i | 0.344570 | − | 0.596812i | −0.640706 | − | 0.767786i | \(-0.721358\pi\) |
0.985275 | + | 0.170974i | \(0.0546915\pi\) | |||||||
\(164\) | 14.0938 | + | 24.4111i | 1.10054 | + | 1.90619i | ||||
\(165\) | 7.74386 | + | 0.697526i | 0.602858 | + | 0.0543023i | ||||
\(166\) | −20.1929 | − | 4.89874i | −1.56727 | − | 0.380216i | ||||
\(167\) | −4.27216 | + | 0.203508i | −0.330590 | + | 0.0157479i | −0.212221 | − | 0.977222i | \(-0.568070\pi\) |
−0.118369 | + | 0.992970i | \(0.537767\pi\) | |||||||
\(168\) | 23.7386 | − | 17.0969i | 1.83147 | − | 1.31906i | ||||
\(169\) | 3.03712 | − | 12.5192i | 0.233625 | − | 0.963014i | ||||
\(170\) | 1.59220 | − | 2.02465i | 0.122116 | − | 0.155284i | ||||
\(171\) | −22.4278 | + | 2.38481i | −1.71509 | + | 0.182371i | ||||
\(172\) | 1.08984 | + | 0.629218i | 0.0830994 | + | 0.0479774i | ||||
\(173\) | −1.86469 | − | 4.65777i | −0.141770 | − | 0.354124i | 0.840442 | − | 0.541902i | \(-0.182296\pi\) |
−0.982211 | + | 0.187778i | \(0.939871\pi\) | |||||||
\(174\) | 6.30191 | − | 21.8964i | 0.477746 | − | 1.65996i | ||||
\(175\) | 4.85672 | − | 3.45845i | 0.367133 | − | 0.261434i | ||||
\(176\) | 9.00585 | + | 62.6371i | 0.678842 | + | 4.72145i | ||||
\(177\) | −19.7486 | + | 2.94770i | −1.48440 | + | 0.221563i | ||||
\(178\) | 20.1652 | − | 4.89203i | 1.51145 | − | 0.366673i | ||||
\(179\) | −12.6019 | + | 3.70025i | −0.941909 | + | 0.276569i | −0.716414 | − | 0.697675i | \(-0.754218\pi\) |
−0.225495 | + | 0.974244i | \(0.572400\pi\) | |||||||
\(180\) | −4.55828 | + | 19.7107i | −0.339754 | + | 1.46915i | ||||
\(181\) | 9.97157 | − | 9.50787i | 0.741181 | − | 0.706714i | −0.222156 | − | 0.975011i | \(-0.571309\pi\) |
0.963336 | + | 0.268297i | \(0.0864608\pi\) | |||||||
\(182\) | −1.40462 | − | 0.724133i | −0.104118 | − | 0.0536763i | ||||
\(183\) | 0.326076 | + | 0.0137791i | 0.0241042 | + | 0.00101858i | ||||
\(184\) | 7.10608 | + | 74.4182i | 0.523867 | + | 5.48618i | ||||
\(185\) | −2.85630 | − | 0.550506i | −0.209999 | − | 0.0404740i | ||||
\(186\) | 16.4778 | + | 7.41854i | 1.20821 | + | 0.543954i | ||||
\(187\) | −2.68203 | + | 1.22484i | −0.196129 | + | 0.0895693i | ||||
\(188\) | −5.09681 | − | 6.48112i | −0.371723 | − | 0.472684i | ||||
\(189\) | −8.43295 | − | 1.90258i | −0.613407 | − | 0.138392i | ||||
\(190\) | 8.10251 | + | 23.4107i | 0.587818 | + | 1.69839i | ||||
\(191\) | −3.72876 | − | 3.55536i | −0.269803 | − | 0.257257i | 0.543083 | − | 0.839679i | \(-0.317257\pi\) |
−0.812887 | + | 0.582422i | \(0.802105\pi\) | |||||||
\(192\) | −67.2807 | + | 0.361133i | −4.85556 | + | 0.0260626i | ||||
\(193\) | 1.62880 | − | 11.3286i | 0.117244 | − | 0.815449i | −0.843324 | − | 0.537405i | \(-0.819405\pi\) |
0.960568 | − | 0.278044i | \(-0.0896861\pi\) | |||||||
\(194\) | 15.9223 | + | 30.8849i | 1.14315 | + | 2.21740i | ||||
\(195\) | 0.686289 | − | 0.170398i | 0.0491462 | − | 0.0122024i | ||||
\(196\) | −15.7042 | + | 18.1237i | −1.12173 | + | 1.29455i | ||||
\(197\) | 4.19567 | + | 0.400638i | 0.298929 | + | 0.0285443i | 0.243443 | − | 0.969915i | \(-0.421723\pi\) |
0.0554861 | + | 0.998459i | \(0.482329\pi\) | |||||||
\(198\) | 20.2631 | − | 23.8984i | 1.44003 | − | 1.69839i | ||||
\(199\) | 1.00896 | − | 21.1808i | 0.0715236 | − | 1.50146i | −0.623129 | − | 0.782119i | \(-0.714139\pi\) |
0.694653 | − | 0.719345i | \(-0.255558\pi\) | |||||||
\(200\) | −36.3820 | −2.57259 | ||||||||
\(201\) | 1.48672 | + | 14.0993i | 0.104865 | + | 0.994486i | ||||
\(202\) | −4.17645 | −0.293854 | ||||||||
\(203\) | 0.376110 | − | 7.89551i | 0.0263977 | − | 0.554156i | ||||
\(204\) | −2.20089 | − | 7.34938i | −0.154093 | − | 0.514559i | ||||
\(205\) | −5.89313 | − | 0.562726i | −0.411594 | − | 0.0393025i | ||||
\(206\) | 4.83258 | − | 5.57710i | 0.336702 | − | 0.388575i | ||||
\(207\) | 15.0721 | − | 16.1508i | 1.04758 | − | 1.12256i | ||||
\(208\) | 2.63718 | + | 5.11542i | 0.182856 | + | 0.354690i | ||||
\(209\) | 4.03581 | − | 28.0697i | 0.279163 | − | 1.94162i | ||||
\(210\) | 0.0509667 | + | 9.49530i | 0.00351703 | + | 0.655238i | ||||
\(211\) | −19.9855 | − | 19.0562i | −1.37586 | − | 1.31188i | −0.902294 | − | 0.431122i | \(-0.858118\pi\) |
−0.473566 | − | 0.880758i | \(-0.657034\pi\) | |||||||
\(212\) | −9.71678 | − | 28.0748i | −0.667351 | − | 1.92819i | ||||
\(213\) | 4.23374 | + | 21.3494i | 0.290091 | + | 1.46284i | ||||
\(214\) | 20.3144 | + | 25.8318i | 1.38866 | + | 1.76583i | ||||
\(215\) | −0.240412 | + | 0.109793i | −0.0163960 | + | 0.00748780i | ||||
\(216\) | 35.1824 | + | 39.3056i | 2.39386 | + | 2.67441i | ||||
\(217\) | 6.15568 | + | 1.18641i | 0.417875 | + | 0.0805387i | ||||
\(218\) | −2.10728 | − | 22.0684i | −0.142723 | − | 1.49466i | ||||
\(219\) | −0.756659 | + | 17.9059i | −0.0511303 | + | 1.20997i | ||||
\(220\) | −22.6094 | − | 11.6560i | −1.52433 | − | 0.785845i | ||||
\(221\) | −0.194072 | + | 0.185047i | −0.0130547 | + | 0.0124476i | ||||
\(222\) | −8.44017 | + | 8.13462i | −0.566467 | + | 0.545960i | ||||
\(223\) | −17.2968 | + | 5.07881i | −1.15828 | + | 0.340102i | −0.803765 | − | 0.594947i | \(-0.797173\pi\) |
−0.354518 | + | 0.935049i | \(0.615355\pi\) | |||||||
\(224\) | −42.2754 | + | 10.2559i | −2.82464 | + | 0.685251i | ||||
\(225\) | 7.12730 | + | 8.04911i | 0.475154 | + | 0.536607i | ||||
\(226\) | −1.21107 | − | 8.42319i | −0.0805593 | − | 0.560302i | ||||
\(227\) | 0.602037 | − | 0.428709i | 0.0399586 | − | 0.0284544i | −0.559903 | − | 0.828558i | \(-0.689162\pi\) |
0.599862 | + | 0.800104i | \(0.295222\pi\) | |||||||
\(228\) | 70.9092 | + | 20.4080i | 4.69608 | + | 1.35156i | ||||
\(229\) | 0.891163 | + | 2.22602i | 0.0588897 | + | 0.147099i | 0.954895 | − | 0.296945i | \(-0.0959676\pi\) |
−0.896005 | + | 0.444044i | \(0.853543\pi\) | |||||||
\(230\) | −21.0137 | − | 12.1323i | −1.38560 | − | 0.799979i | ||||
\(231\) | 4.92882 | − | 9.68790i | 0.324292 | − | 0.637417i | ||||
\(232\) | −29.8159 | + | 37.9140i | −1.95751 | + | 2.48917i | ||||
\(233\) | 2.62146 | − | 10.8058i | 0.171738 | − | 0.707912i | −0.819191 | − | 0.573521i | \(-0.805577\pi\) |
0.990928 | − | 0.134391i | \(-0.0429078\pi\) | |||||||
\(234\) | 1.03062 | − | 2.65667i | 0.0673739 | − | 0.173672i | ||||
\(235\) | 1.72968 | − | 0.0823948i | 0.112832 | − | 0.00537485i | ||||
\(236\) | 63.4834 | + | 15.4009i | 4.13242 | + | 1.00251i | ||||
\(237\) | 0.669509 | − | 7.43283i | 0.0434893 | − | 0.482814i | ||||
\(238\) | −1.80041 | − | 3.11840i | −0.116703 | − | 0.202136i | ||||
\(239\) | 8.34626 | − | 14.4561i | 0.539875 | − | 0.935090i | −0.459036 | − | 0.888418i | \(-0.651805\pi\) |
0.998910 | − | 0.0466723i | \(-0.0148616\pi\) | |||||||
\(240\) | 19.9074 | − | 28.2761i | 1.28502 | − | 1.82521i | ||||
\(241\) | −1.89668 | − | 2.18889i | −0.122176 | − | 0.140999i | 0.691366 | − | 0.722505i | \(-0.257009\pi\) |
−0.813542 | + | 0.581506i | \(0.802464\pi\) | |||||||
\(242\) | 5.18478 | + | 7.28100i | 0.333290 | + | 0.468041i | ||||
\(243\) | 1.80362 | − | 15.4838i | 0.115702 | − | 0.993284i | ||||
\(244\) | −0.971242 | − | 0.443551i | −0.0621774 | − | 0.0283955i | ||||
\(245\) | −1.18740 | − | 4.89452i | −0.0758600 | − | 0.312699i | ||||
\(246\) | −15.5255 | + | 18.1129i | −0.989867 | + | 1.15483i | ||||
\(247\) | −0.488096 | − | 2.53248i | −0.0310568 | − | 0.161138i | ||||
\(248\) | −26.3979 | − | 27.6853i | −1.67627 | − | 1.75802i | ||||
\(249\) | −1.30497 | − | 12.9324i | −0.0826994 | − | 0.819555i | ||||
\(250\) | 16.4067 | − | 23.0400i | 1.03765 | − | 1.45718i | ||||
\(251\) | −17.6311 | + | 1.68356i | −1.11286 | + | 0.106265i | −0.635251 | − | 0.772306i | \(-0.719103\pi\) |
−0.477611 | + | 0.878571i | \(0.658497\pi\) | |||||||
\(252\) | 23.2130 | + | 16.1572i | 1.46228 | + | 1.01781i | ||||
\(253\) | 15.0169 | + | 23.3668i | 0.944105 | + | 1.46906i | ||||
\(254\) | 12.3107 | + | 26.9568i | 0.772444 | + | 1.69142i | ||||
\(255\) | 1.52543 | + | 0.518804i | 0.0955260 | + | 0.0324888i | ||||
\(256\) | 69.9252 | + | 27.9938i | 4.37033 | + | 1.74962i | ||||
\(257\) | 16.8386 | − | 5.82789i | 1.05036 | − | 0.363534i | 0.253273 | − | 0.967395i | \(-0.418493\pi\) |
0.797090 | + | 0.603861i | \(0.206372\pi\) | |||||||
\(258\) | −0.195948 | + | 1.04688i | −0.0121992 | + | 0.0651760i | ||||
\(259\) | −2.19854 | + | 3.42100i | −0.136611 | + | 0.212570i | ||||
\(260\) | −2.28987 | − | 0.329233i | −0.142011 | − | 0.0204182i | ||||
\(261\) | 14.2290 | − | 0.830993i | 0.880756 | − | 0.0514372i | ||||
\(262\) | −19.4232 | − | 6.72245i | −1.19997 | − | 0.415314i | ||||
\(263\) | −7.95401 | − | 6.89219i | −0.490465 | − | 0.424991i | 0.374193 | − | 0.927351i | \(-0.377920\pi\) |
−0.864658 | + | 0.502360i | \(0.832465\pi\) | |||||||
\(264\) | −58.7896 | + | 30.7087i | −3.61825 | + | 1.88999i | ||||
\(265\) | 5.98668 | + | 1.75785i | 0.367759 | + | 0.107984i | ||||
\(266\) | 34.5933 | + | 1.64788i | 2.12105 | + | 0.101038i | ||||
\(267\) | 7.07615 | + | 10.8818i | 0.433053 | + | 0.665957i | ||||
\(268\) | 12.8674 | − | 44.5619i | 0.786004 | − | 2.72205i | ||||
\(269\) | 10.9121i | 0.665320i | 0.943047 | + | 0.332660i | \(0.107946\pi\) | ||||
−0.943047 | + | 0.332660i | \(0.892054\pi\) | |||||||
\(270\) | −17.0162 | + | 1.90180i | −1.03557 | + | 0.115740i | ||||
\(271\) | −6.81193 | + | 23.1993i | −0.413796 | + | 1.40926i | 0.444351 | + | 0.895853i | \(0.353434\pi\) |
−0.858146 | + | 0.513405i | \(0.828384\pi\) | |||||||
\(272\) | −1.24653 | + | 13.0542i | −0.0755819 | + | 0.791529i | ||||
\(273\) | 0.135432 | − | 0.979231i | 0.00819669 | − | 0.0592658i | ||||
\(274\) | −1.01381 | + | 2.92921i | −0.0612465 | + | 0.176960i | ||||
\(275\) | −12.0151 | + | 6.19424i | −0.724540 | + | 0.373527i | ||||
\(276\) | −65.5794 | + | 30.3756i | −3.94742 | + | 1.82840i | ||||
\(277\) | −13.3419 | − | 8.57429i | −0.801634 | − | 0.515179i | 0.0745146 | − | 0.997220i | \(-0.476259\pi\) |
−0.876149 | + | 0.482041i | \(0.839896\pi\) | |||||||
\(278\) | −23.1395 | + | 24.2680i | −1.38781 | + | 1.45550i | ||||
\(279\) | −0.953668 | + | 11.2639i | −0.0570946 | + | 0.674350i | ||||
\(280\) | 7.47063 | − | 18.6607i | 0.446456 | − | 1.11519i | ||||
\(281\) | −1.94344 | + | 1.52834i | −0.115936 | + | 0.0911728i | −0.674444 | − | 0.738326i | \(-0.735616\pi\) |
0.558508 | + | 0.829499i | \(0.311374\pi\) | |||||||
\(282\) | 3.74112 | − | 5.89057i | 0.222780 | − | 0.350779i | ||||
\(283\) | −5.58218 | + | 3.58745i | −0.331826 | + | 0.213252i | −0.695935 | − | 0.718105i | \(-0.745010\pi\) |
0.364109 | + | 0.931356i | \(0.381374\pi\) | |||||||
\(284\) | 13.4759 | − | 69.9194i | 0.799645 | − | 4.14895i | ||||
\(285\) | −12.1297 | + | 9.64475i | −0.718504 | + | 0.571306i | ||||
\(286\) | 2.91854 | + | 2.07828i | 0.172577 | + | 0.122892i | ||||
\(287\) | −3.79227 | + | 7.35598i | −0.223851 | + | 0.434210i | ||||
\(288\) | −26.4501 | − | 73.8480i | −1.55859 | − | 4.35154i | ||||
\(289\) | 16.0928 | − | 3.10164i | 0.946637 | − | 0.182449i | ||||
\(290\) | −4.41069 | − | 15.0214i | −0.259005 | − | 0.882089i | ||||
\(291\) | −14.9151 | + | 15.8116i | −0.874340 | + | 0.926892i | ||||
\(292\) | 24.3569 | − | 53.3342i | 1.42538 | − | 3.12115i | ||||
\(293\) | −6.92759 | + | 0.996038i | −0.404714 | + | 0.0581891i | −0.341666 | − | 0.939821i | \(-0.610991\pi\) |
−0.0630481 | + | 0.998010i | \(0.520082\pi\) | |||||||
\(294\) | −18.8824 | − | 7.44203i | −1.10124 | − | 0.434028i | ||||
\(295\) | −10.3685 | + | 8.98435i | −0.603677 | + | 0.523089i | ||||
\(296\) | 23.0367 | − | 9.22251i | 1.33898 | − | 0.536048i | ||||
\(297\) | 18.3110 | + | 6.99066i | 1.06251 | + | 0.405639i | ||||
\(298\) | 42.4393 | − | 24.5023i | 2.45844 | − | 1.41938i | ||||
\(299\) | 1.98568 | + | 1.56155i | 0.114835 | + | 0.0903070i | ||||
\(300\) | −11.6822 | − | 33.1763i | −0.674473 | − | 1.91544i | ||||
\(301\) | 0.0175807 | + | 0.369064i | 0.00101333 | + | 0.0212725i | ||||
\(302\) | 1.29557 | + | 27.1975i | 0.0745519 | + | 1.56504i | ||||
\(303\) | −0.867729 | − | 2.46426i | −0.0498498 | − | 0.141568i | ||||
\(304\) | −99.1419 | − | 77.9661i | −5.68618 | − | 4.47166i | ||||
\(305\) | 0.194201 | − | 0.112122i | 0.0111199 | − | 0.00642010i | ||||
\(306\) | 5.24828 | − | 3.82285i | 0.300024 | − | 0.218538i | ||||
\(307\) | −2.27548 | + | 0.910967i | −0.129869 | + | 0.0519916i | −0.435687 | − | 0.900098i | \(-0.643494\pi\) |
0.305818 | + | 0.952090i | \(0.401070\pi\) | |||||||
\(308\) | −26.8750 | + | 23.2873i | −1.53134 | + | 1.32692i | ||||
\(309\) | 4.29475 | + | 1.69267i | 0.244320 | + | 0.0962926i | ||||
\(310\) | 12.2899 | − | 1.76703i | 0.698021 | − | 0.100360i | ||||
\(311\) | 13.5518 | − | 29.6742i | 0.768450 | − | 1.68267i | 0.0384128 | − | 0.999262i | \(-0.487770\pi\) |
0.730037 | − | 0.683408i | \(-0.239503\pi\) | |||||||
\(312\) | −4.13919 | + | 4.38798i | −0.234335 | + | 0.248420i | ||||
\(313\) | 1.27223 | + | 4.33282i | 0.0719108 | + | 0.244906i | 0.987602 | − | 0.156976i | \(-0.0501745\pi\) |
−0.915692 | + | 0.401882i | \(0.868356\pi\) | |||||||
\(314\) | 2.54135 | − | 0.489804i | 0.143416 | − | 0.0276413i | ||||
\(315\) | −5.59200 | + | 2.00288i | −0.315073 | + | 0.112850i | ||||
\(316\) | −11.1878 | + | 21.7013i | −0.629363 | + | 1.22079i | ||||
\(317\) | 3.44175 | + | 2.45086i | 0.193308 | + | 0.137654i | 0.672613 | − | 0.739994i | \(-0.265172\pi\) |
−0.479305 | + | 0.877648i | \(0.659111\pi\) | |||||||
\(318\) | 19.6805 | − | 15.6486i | 1.10363 | − | 0.877531i | ||||
\(319\) | −3.39162 | + | 17.5974i | −0.189894 | + | 0.985266i | ||||
\(320\) | −38.8901 | + | 24.9932i | −2.17402 | + | 1.39716i | ||||
\(321\) | −11.0211 | + | 17.3532i | −0.615137 | + | 0.968563i | ||||
\(322\) | −26.6641 | + | 20.9689i | −1.48593 | + | 1.16855i | ||||
\(323\) | 2.18412 | − | 5.45568i | 0.121528 | − | 0.303562i | ||||
\(324\) | −24.5453 | + | 44.7034i | −1.36363 | + | 2.48352i | ||||
\(325\) | −0.848382 | + | 0.889758i | −0.0470598 | + | 0.0493549i | ||||
\(326\) | −20.4940 | − | 13.1707i | −1.13506 | − | 0.729458i | ||||
\(327\) | 12.5834 | − | 5.82846i | 0.695862 | − | 0.322315i | ||||
\(328\) | 44.8865 | − | 23.1406i | 2.47844 | − | 1.27772i | ||||
\(329\) | 0.791769 | − | 2.28767i | 0.0436516 | − | 0.126123i | ||||
\(330\) | 2.94939 | − | 21.3254i | 0.162358 | − | 1.17392i | ||||
\(331\) | 0.831854 | − | 8.71157i | 0.0457228 | − | 0.478831i | −0.943391 | − | 0.331682i | \(-0.892384\pi\) |
0.989114 | − | 0.147150i | \(-0.0470099\pi\) | |||||||
\(332\) | −11.9804 | + | 40.8014i | −0.657509 | + | 2.23927i | ||||
\(333\) | −6.55332 | − | 3.28991i | −0.359120 | − | 0.180286i | ||||
\(334\) | 11.8424i | 0.647987i | ||||||||
\(335\) | 6.05596 | + | 7.63000i | 0.330872 | + | 0.416872i | ||||
\(336\) | −26.3544 | − | 40.5283i | −1.43775 | − | 2.21100i | ||||
\(337\) | 20.6951 | + | 0.985829i | 1.12733 | + | 0.0537015i | 0.602949 | − | 0.797780i | \(-0.293992\pi\) |
0.524385 | + | 0.851481i | \(0.324295\pi\) | |||||||
\(338\) | −34.2243 | − | 10.0492i | −1.86156 | − | 0.546603i | ||||
\(339\) | 4.71838 | − | 2.46464i | 0.256267 | − | 0.133861i | ||||
\(340\) | −3.98377 | − | 3.45195i | −0.216050 | − | 0.187208i | ||||
\(341\) | −13.4315 | − | 4.64868i | −0.727356 | − | 0.251740i | ||||
\(342\) | 3.64090 | + | 62.3429i | 0.196877 | + | 3.37112i | ||||
\(343\) | −18.4967 | − | 2.65943i | −0.998729 | − | 0.143596i | ||||
\(344\) | 1.21893 | − | 1.89669i | 0.0657201 | − | 0.102262i | ||||
\(345\) | 2.79254 | − | 14.9196i | 0.150345 | − | 0.803243i | ||||
\(346\) | −13.1277 | + | 4.54355i | −0.705751 | + | 0.244263i | ||||
\(347\) | 7.78387 | + | 3.11619i | 0.417860 | + | 0.167286i | 0.571058 | − | 0.820910i | \(-0.306533\pi\) |
−0.153198 | + | 0.988195i | \(0.548957\pi\) | |||||||
\(348\) | −44.1472 | − | 15.0146i | −2.36654 | − | 0.804869i | ||||
\(349\) | −6.78390 | − | 14.8547i | −0.363134 | − | 0.795152i | −0.999713 | − | 0.0239412i | \(-0.992379\pi\) |
0.636579 | − | 0.771211i | \(-0.280349\pi\) | |||||||
\(350\) | −8.92523 | − | 13.8879i | −0.477073 | − | 0.742341i | ||||
\(351\) | 1.78167 | + | 0.0561364i | 0.0950984 | + | 0.00299634i | ||||
\(352\) | 98.1818 | − | 9.37522i | 5.23311 | − | 0.499701i | ||||
\(353\) | −3.54720 | + | 4.98135i | −0.188798 | + | 0.265130i | −0.898116 | − | 0.439759i | \(-0.855064\pi\) |
0.709317 | + | 0.704889i | \(0.249003\pi\) | |||||||
\(354\) | 5.55067 | + | 55.0074i | 0.295015 | + | 2.92361i | ||||
\(355\) | 10.3199 | + | 10.8232i | 0.547725 | + | 0.574437i | ||||
\(356\) | −8.03668 | − | 41.6983i | −0.425943 | − | 2.21000i | ||||
\(357\) | 1.46591 | − | 1.71021i | 0.0775840 | − | 0.0905138i | ||||
\(358\) | 8.57356 | + | 35.3407i | 0.453127 | + | 1.86781i | ||||
\(359\) | −0.722780 | − | 0.330083i | −0.0381469 | − | 0.0174211i | 0.396250 | − | 0.918143i | \(-0.370311\pi\) |
−0.434397 | + | 0.900721i | \(0.643039\pi\) | |||||||
\(360\) | 34.8847 | + | 9.83756i | 1.83858 | + | 0.518485i | ||||
\(361\) | 21.7645 | + | 30.5639i | 1.14550 | + | 1.60863i | ||||
\(362\) | −24.9823 | − | 28.8311i | −1.31304 | − | 1.51533i | ||||
\(363\) | −3.21884 | + | 4.57197i | −0.168945 | + | 0.239966i | ||||
\(364\) | −1.61706 | + | 2.80083i | −0.0847569 | + | 0.146803i | ||||
\(365\) | 6.15701 | + | 10.6642i | 0.322272 | + | 0.558192i | ||||
\(366\) | 0.0810687 | − | 0.900016i | 0.00423753 | − | 0.0470446i | ||||
\(367\) | 23.8585 | + | 5.78801i | 1.24540 | + | 0.302132i | 0.803703 | − | 0.595031i | \(-0.202860\pi\) |
0.441701 | + | 0.897162i | \(0.354375\pi\) | |||||||
\(368\) | 123.397 | − | 5.87812i | 6.43251 | − | 0.306418i | ||||
\(369\) | −13.9130 | − | 5.39735i | −0.724280 | − | 0.280975i | ||||
\(370\) | −1.89885 | + | 7.82717i | −0.0987165 | + | 0.406915i | ||||
\(371\) | 5.39196 | − | 6.85644i | 0.279937 | − | 0.355968i | ||||
\(372\) | 16.7696 | − | 32.9617i | 0.869464 | − | 1.70898i | ||||
\(373\) | −20.8392 | − | 12.0315i | −1.07901 | − | 0.622969i | −0.148384 | − | 0.988930i | \(-0.547407\pi\) |
−0.930630 | + | 0.365961i | \(0.880741\pi\) | |||||||
\(374\) | 3.03421 | + | 7.57909i | 0.156895 | + | 0.391905i | ||||
\(375\) | 17.0032 | + | 4.89362i | 0.878043 | + | 0.252705i | ||||
\(376\) | −12.0328 | + | 8.56852i | −0.620544 | + | 0.441888i | ||||
\(377\) | 0.231955 | + | 1.61328i | 0.0119463 | + | 0.0830884i | ||||
\(378\) | −6.37299 | + | 23.0725i | −0.327791 | + | 1.18672i | ||||
\(379\) | 28.3079 | − | 6.86743i | 1.45408 | − | 0.352756i | 0.570602 | − | 0.821227i | \(-0.306710\pi\) |
0.883479 | + | 0.468470i | \(0.155195\pi\) | |||||||
\(380\) | 48.6453 | − | 14.2835i | 2.49545 | − | 0.732730i | ||||
\(381\) | −13.3477 | + | 12.8645i | −0.683825 | + | 0.659070i | ||||
\(382\) | −10.3244 | + | 9.84426i | −0.528240 | + | 0.503676i | ||||
\(383\) | 12.8126 | + | 6.60535i | 0.654693 | + | 0.337518i | 0.753365 | − | 0.657602i | \(-0.228429\pi\) |
−0.0986725 | + | 0.995120i | \(0.531460\pi\) | |||||||
\(384\) | −4.04110 | + | 95.6304i | −0.206222 | + | 4.88012i | ||||
\(385\) | −0.709921 | − | 7.43463i | −0.0361809 | − | 0.378904i | ||||
\(386\) | −31.1170 | − | 5.99731i | −1.58381 | − | 0.305255i | ||||
\(387\) | −0.658411 | + | 0.101891i | −0.0334689 | + | 0.00517940i | ||||
\(388\) | 64.6856 | − | 29.5409i | 3.28391 | − | 1.49971i | ||||
\(389\) | 2.21897 | + | 2.82165i | 0.112506 | + | 0.143064i | 0.839045 | − | 0.544062i | \(-0.183115\pi\) |
−0.726538 | + | 0.687126i | \(0.758872\pi\) | |||||||
\(390\) | −0.380854 | − | 1.92053i | −0.0192853 | − | 0.0972497i | ||||
\(391\) | 1.88260 | + | 5.43941i | 0.0952071 | + | 0.275083i | ||||
\(392\) | 31.0945 | + | 29.6486i | 1.57051 | + | 1.49748i | ||||
\(393\) | −0.0690116 | − | 12.8571i | −0.00348117 | − | 0.648557i | ||||
\(394\) | 1.66082 | − | 11.5512i | 0.0836707 | − | 0.581943i | ||||
\(395\) | −2.34966 | − | 4.55770i | −0.118224 | − | 0.229323i | ||||
\(396\) | −46.8802 | − | 43.7491i | −2.35582 | − | 2.19848i | ||||
\(397\) | 4.49477 | − | 5.18725i | 0.225586 | − | 0.260340i | −0.631662 | − | 0.775244i | \(-0.717627\pi\) |
0.857248 | + | 0.514904i | \(0.172172\pi\) | |||||||
\(398\) | −58.4470 | − | 5.58101i | −2.92968 | − | 0.279751i | ||||
\(399\) | 6.21503 | + | 20.7537i | 0.311141 | + | 1.03899i | ||||
\(400\) | −2.86071 | + | 60.0537i | −0.143036 | + | 3.00269i | ||||
\(401\) | −9.49883 | −0.474349 | −0.237175 | − | 0.971467i | \(-0.576221\pi\) | ||||
−0.237175 | + | 0.971467i | \(0.576221\pi\) | |||||||
\(402\) | 39.1904 | − | 2.25431i | 1.95464 | − | 0.112435i | ||||
\(403\) | −1.29264 | −0.0643909 | ||||||||
\(404\) | −0.406693 | + | 8.53754i | −0.0202337 | + | 0.424759i | ||||
\(405\) | −4.65753 | − | 9.64505i | −0.231435 | − | 0.479267i | ||||
\(406\) | −21.7872 | − | 2.08042i | −1.08128 | − | 0.103250i | ||||
\(407\) | 6.03769 | − | 6.96787i | 0.299277 | − | 0.345384i | ||||
\(408\) | −13.3397 | + | 3.31210i | −0.660415 | + | 0.163973i | ||||
\(409\) | 10.4436 | + | 20.2578i | 0.516403 | + | 1.00168i | 0.992495 | + | 0.122286i | \(0.0390226\pi\) |
−0.476092 | + | 0.879395i | \(0.657947\pi\) | |||||||
\(410\) | −2.33274 | + | 16.2246i | −0.115206 | + | 0.801274i | ||||
\(411\) | −1.93898 | + | 0.0104076i | −0.0956429 | + | 0.000513369i | ||||
\(412\) | −10.9302 | − | 10.4219i | −0.538491 | − | 0.513450i | ||||
\(413\) | 6.27304 | + | 18.1248i | 0.308676 | + | 0.891861i | ||||
\(414\) | −42.6829 | − | 43.8130i | −2.09775 | − | 2.15329i | ||||
\(415\) | −5.52069 | − | 7.02013i | −0.271000 | − | 0.344605i | ||||
\(416\) | 8.15930 | − | 3.72623i | 0.400043 | − | 0.182693i | ||||
\(417\) | −19.1267 | − | 8.61108i | −0.936636 | − | 0.421686i | ||||
\(418\) | −77.1010 | − | 14.8600i | −3.77113 | − | 0.726826i | ||||
\(419\) | 0.0330755 | + | 0.346383i | 0.00161585 | + | 0.0169219i | 0.996244 | − | 0.0865917i | \(-0.0275975\pi\) |
−0.994628 | + | 0.103514i | \(0.966991\pi\) | |||||||
\(420\) | 19.4153 | + | 0.820444i | 0.947371 | + | 0.0400335i | ||||
\(421\) | 12.5604 | + | 6.47533i | 0.612156 | + | 0.315588i | 0.736278 | − | 0.676679i | \(-0.236581\pi\) |
−0.124123 | + | 0.992267i | \(0.539612\pi\) | |||||||
\(422\) | −55.3369 | + | 52.7636i | −2.69376 | + | 2.56849i | ||||
\(423\) | 4.25294 | + | 0.983534i | 0.206785 | + | 0.0478211i | ||||
\(424\) | −51.0697 | + | 14.9954i | −2.48016 | + | 0.728242i | ||||
\(425\) | −2.72231 | + | 0.660425i | −0.132051 | + | 0.0320353i | ||||
\(426\) | 59.6041 | − | 8.89657i | 2.88783 | − | 0.431040i | ||||
\(427\) | −0.0446143 | − | 0.310299i | −0.00215904 | − | 0.0150164i | ||||
\(428\) | 54.7838 | − | 39.0113i | 2.64807 | − | 1.88568i | ||||
\(429\) | −0.619889 | + | 2.15385i | −0.0299285 | + | 0.103989i | ||||
\(430\) | 0.271981 | + | 0.679377i | 0.0131161 | + | 0.0327624i | ||||
\(431\) | 34.8537 | + | 20.1228i | 1.67884 | + | 0.969281i | 0.962400 | + | 0.271635i | \(0.0875644\pi\) |
0.716443 | + | 0.697646i | \(0.245769\pi\) | |||||||
\(432\) | 67.6460 | − | 54.9831i | 3.25462 | − | 2.64537i | ||||
\(433\) | −23.5186 | + | 29.9064i | −1.13023 | + | 1.43721i | −0.246546 | + | 0.969131i | \(0.579296\pi\) |
−0.883687 | + | 0.468078i | \(0.844947\pi\) | |||||||
\(434\) | 4.09226 | − | 16.8685i | 0.196435 | − | 0.809715i | ||||
\(435\) | 7.94682 | − | 5.72343i | 0.381021 | − | 0.274418i | ||||
\(436\) | −45.3176 | + | 2.15874i | −2.17032 | + | 0.103385i | ||||
\(437\) | −53.8003 | − | 13.0518i | −2.57362 | − | 0.624353i | ||||
\(438\) | 49.4229 | + | 4.45175i | 2.36152 | + | 0.212713i | ||||
\(439\) | 3.59367 | + | 6.22441i | 0.171516 | + | 0.297075i | 0.938950 | − | 0.344053i | \(-0.111800\pi\) |
−0.767434 | + | 0.641128i | \(0.778467\pi\) | |||||||
\(440\) | −22.7864 | + | 39.4671i | −1.08630 | + | 1.88152i | ||||
\(441\) | 0.467936 | − | 12.6875i | 0.0222827 | − | 0.604169i | ||||
\(442\) | 0.486218 | + | 0.561126i | 0.0231270 | + | 0.0266900i | ||||
\(443\) | −4.12580 | − | 5.79388i | −0.196023 | − | 0.275275i | 0.704852 | − | 0.709354i | \(-0.251013\pi\) |
−0.900875 | + | 0.434079i | \(0.857074\pi\) | |||||||
\(444\) | 15.8070 | + | 18.0456i | 0.750166 | + | 0.856406i | ||||
\(445\) | 8.11267 | + | 3.70493i | 0.384577 | + | 0.175631i | ||||
\(446\) | 11.7677 | + | 48.5072i | 0.557218 | + | 2.29688i | ||||
\(447\) | 23.2748 | + | 19.9500i | 1.10086 | + | 0.943602i | ||||
\(448\) | 12.2308 | + | 63.4592i | 0.577849 | + | 2.99817i | ||||
\(449\) | 8.32899 | + | 8.73520i | 0.393070 | + | 0.412239i | 0.890297 | − | 0.455381i | \(-0.150497\pi\) |
−0.497227 | + | 0.867620i | \(0.665648\pi\) | |||||||
\(450\) | 23.2005 | − | 18.6516i | 1.09368 | − | 0.879246i | ||||
\(451\) | 10.8839 | − | 15.2844i | 0.512505 | − | 0.719712i | ||||
\(452\) | −17.3367 | + | 1.65545i | −0.815450 | + | 0.0778660i | ||||
\(453\) | −15.7783 | + | 6.41517i | −0.741331 | + | 0.301411i | ||||
\(454\) | −1.10637 | − | 1.72154i | −0.0519245 | − | 0.0807961i | ||||
\(455\) | −0.282161 | − | 0.617847i | −0.0132279 | − | 0.0289651i | ||||
\(456\) | 42.5661 | − | 125.156i | 1.99334 | − | 5.86097i | ||||
\(457\) | −4.14585 | − | 1.65975i | −0.193935 | − | 0.0776397i | 0.272662 | − | 0.962110i | \(-0.412096\pi\) |
−0.466597 | + | 0.884470i | \(0.654520\pi\) | |||||||
\(458\) | 6.27394 | − | 2.17143i | 0.293162 | − | 0.101464i | ||||
\(459\) | 3.34605 | + | 2.30242i | 0.156180 | + | 0.107468i | ||||
\(460\) | −26.8472 | + | 41.7750i | −1.25176 | + | 1.94777i | ||||
\(461\) | 23.1126 | + | 3.32309i | 1.07646 | + | 0.154772i | 0.657666 | − | 0.753310i | \(-0.271544\pi\) |
0.418794 | + | 0.908081i | \(0.362453\pi\) | |||||||
\(462\) | −26.1446 | − | 14.9080i | −1.21636 | − | 0.693585i | ||||
\(463\) | 20.6702 | + | 7.15404i | 0.960627 | + | 0.332476i | 0.761984 | − | 0.647596i | \(-0.224225\pi\) |
0.198643 | + | 0.980072i | \(0.436347\pi\) | |||||||
\(464\) | 60.2381 | + | 52.1966i | 2.79648 | + | 2.42317i | ||||
\(465\) | 3.59606 | + | 6.88440i | 0.166763 | + | 0.319256i | ||||
\(466\) | −29.5404 | − | 8.67384i | −1.36843 | − | 0.401808i | ||||
\(467\) | −27.9591 | − | 1.33186i | −1.29379 | − | 0.0616310i | −0.610642 | − | 0.791907i | \(-0.709089\pi\) |
−0.683153 | + | 0.730276i | \(0.739392\pi\) | |||||||
\(468\) | −5.33044 | − | 2.36551i | −0.246400 | − | 0.109346i | ||||
\(469\) | 13.0491 | − | 3.89530i | 0.602551 | − | 0.179868i | ||||
\(470\) | − | 4.79465i | − | 0.221161i | ||||||
\(471\) | 0.817011 | + | 1.39772i | 0.0376459 | + | 0.0644038i | ||||
\(472\) | 32.9725 | − | 112.294i | 1.51768 | − | 5.16875i | ||||
\(473\) | 0.0796287 | − | 0.833909i | 0.00366133 | − | 0.0383432i | ||||
\(474\) | −20.4689 | − | 2.83092i | −0.940166 | − | 0.130029i | ||||
\(475\) | 8.81204 | − | 25.4607i | 0.404324 | − | 1.16822i | ||||
\(476\) | −6.54997 | + | 3.37675i | −0.300218 | + | 0.154773i | ||||
\(477\) | 13.3222 | + | 8.36098i | 0.609983 | + | 0.382823i | ||||
\(478\) | −38.8819 | − | 24.9879i | −1.77842 | − | 1.14292i | ||||
\(479\) | 10.9136 | − | 11.4459i | 0.498656 | − | 0.522976i | −0.425516 | − | 0.904951i | \(-0.639908\pi\) |
0.924173 | + | 0.381975i | \(0.124756\pi\) | |||||||
\(480\) | −42.5441 | − | 33.0890i | −1.94186 | − | 1.51030i | ||||
\(481\) | 0.311642 | − | 0.778444i | 0.0142096 | − | 0.0354940i | ||||
\(482\) | −6.30372 | + | 4.95730i | −0.287126 | + | 0.225799i | ||||
\(483\) | −17.9123 | − | 11.3762i | −0.815040 | − | 0.517634i | ||||
\(484\) | 15.3888 | − | 9.88976i | 0.699489 | − | 0.449535i | ||||
\(485\) | −2.82644 | + | 14.6650i | −0.128342 | + | 0.665902i | ||||
\(486\) | −42.5860 | − | 7.02824i | −1.93174 | − | 0.318807i | ||||
\(487\) | −34.2668 | − | 24.4013i | −1.55278 | − | 1.10573i | −0.951910 | − | 0.306378i | \(-0.900883\pi\) |
−0.600867 | − | 0.799349i | \(-0.705178\pi\) | |||||||
\(488\) | −0.876554 | + | 1.70028i | −0.0396798 | + | 0.0769680i | ||||
\(489\) | 3.51323 | − | 14.8287i | 0.158874 | − | 0.670576i | ||||
\(490\) | −13.6933 | + | 2.63916i | −0.618599 | + | 0.119225i | ||||
\(491\) | 3.38176 | + | 11.5172i | 0.152617 | + | 0.519765i | 0.999936 | − | 0.0113190i | \(-0.00360303\pi\) |
−0.847319 | + | 0.531084i | \(0.821785\pi\) | |||||||
\(492\) | 35.5146 | + | 33.5011i | 1.60112 | + | 1.51034i | ||||
\(493\) | −1.54276 | + | 3.37818i | −0.0694825 | + | 0.152145i | ||||
\(494\) | −7.06842 | + | 1.01629i | −0.318023 | + | 0.0457248i | ||||
\(495\) | 13.1956 | − | 2.69046i | 0.593097 | − | 0.120927i | ||||
\(496\) | −47.7743 | + | 41.3967i | −2.14513 | + | 1.85877i | ||||
\(497\) | 19.4089 | − | 7.77013i | 0.870606 | − | 0.348538i | ||||
\(498\) | −35.9391 | + | 1.90538i | −1.61047 | + | 0.0853823i | ||||
\(499\) | −13.0673 | + | 7.54441i | −0.584973 | + | 0.337734i | −0.763107 | − | 0.646272i | \(-0.776327\pi\) |
0.178134 | + | 0.984006i | \(0.442994\pi\) | |||||||
\(500\) | −45.5009 | − | 35.7823i | −2.03486 | − | 1.60023i | ||||
\(501\) | −6.98745 | + | 2.46046i | −0.312176 | + | 0.109925i | ||||
\(502\) | 2.33341 | + | 48.9842i | 0.104145 | + | 2.18627i | ||||
\(503\) | 1.51039 | + | 31.7070i | 0.0673451 | + | 1.41375i | 0.739410 | + | 0.673255i | \(0.235104\pi\) |
−0.672065 | + | 0.740492i | \(0.734593\pi\) | |||||||
\(504\) | 30.8929 | − | 40.1635i | 1.37608 | − | 1.78902i | ||||
\(505\) | −1.41103 | − | 1.10965i | −0.0627901 | − | 0.0493787i | ||||
\(506\) | 66.6042 | − | 38.4539i | 2.96092 | − | 1.70949i | ||||
\(507\) | −1.18130 | − | 22.2815i | −0.0524634 | − | 0.989558i | ||||
\(508\) | 56.3040 | − | 22.5407i | 2.49809 | − | 1.00008i | ||||
\(509\) | 29.3106 | − | 25.3978i | 1.29917 | − | 1.12574i | 0.314886 | − | 0.949129i | \(-0.398034\pi\) |
0.984282 | − | 0.176606i | \(-0.0565119\pi\) | |||||||
\(510\) | 1.63583 | − | 4.15055i | 0.0724360 | − | 0.183789i | ||||
\(511\) | 17.0396 | − | 2.44992i | 0.753786 | − | 0.108378i | ||||
\(512\) | 40.7224 | − | 89.1697i | 1.79969 | − | 3.94078i | ||||
\(513\) | −36.0282 | + | 15.1011i | −1.59068 | + | 0.666729i | ||||
\(514\) | −13.8998 | − | 47.3385i | −0.613095 | − | 2.08801i | ||||
\(515\) | 3.11450 | − | 0.600270i | 0.137241 | − | 0.0264510i | ||||
\(516\) | 2.12096 | + | 0.502501i | 0.0933702 | + | 0.0221214i | ||||
\(517\) | −2.51499 | + | 4.87841i | −0.110609 | + | 0.214552i | ||||
\(518\) | 9.17184 | + | 6.53124i | 0.402987 | + | 0.286966i | ||||
\(519\) | −5.40838 | − | 6.80186i | −0.237401 | − | 0.298568i | ||||
\(520\) | −0.784384 | + | 4.06977i | −0.0343975 | + | 0.178471i | ||||
\(521\) | −19.5618 | + | 12.5716i | −0.857017 | + | 0.550771i | −0.893756 | − | 0.448554i | \(-0.851939\pi\) |
0.0367390 | + | 0.999325i | \(0.488303\pi\) | |||||||
\(522\) | −0.423652 | − | 39.4629i | −0.0185427 | − | 1.72725i | ||||
\(523\) | −31.3367 | + | 24.6434i | −1.37026 | + | 1.07758i | −0.382103 | + | 0.924120i | \(0.624800\pi\) |
−0.988154 | + | 0.153463i | \(0.950958\pi\) | |||||||
\(524\) | −15.6335 | + | 39.0505i | −0.682951 | + | 1.70593i | ||||
\(525\) | 6.34003 | − | 8.15168i | 0.276702 | − | 0.355768i | ||||
\(526\) | −20.1097 | + | 21.0905i | −0.876826 | + | 0.919589i | ||||
\(527\) | −2.47780 | − | 1.59239i | −0.107935 | − | 0.0693655i | ||||
\(528\) | 46.0666 | + | 99.4555i | 2.00479 | + | 4.32824i | ||||
\(529\) | 27.7532 | − | 14.3078i | 1.20666 | − | 0.622077i | ||||
\(530\) | 5.65043 | − | 16.3258i | 0.245439 | − | 0.709150i | ||||
\(531\) | −31.3032 | + | 14.7038i | −1.35844 | + | 0.638092i | ||||
\(532\) | 6.73722 | − | 70.5554i | 0.292096 | − | 3.05896i | ||||
\(533\) | 0.480770 | − | 1.63735i | 0.0208245 | − | 0.0709217i | ||||
\(534\) | 31.0283 | − | 18.1369i | 1.34273 | − | 0.784862i | ||||
\(535\) | 14.1247i | 0.610665i | ||||||||
\(536\) | −78.6490 | − | 26.8258i | −3.39712 | − | 1.15870i | ||||
\(537\) | −19.0710 | + | 12.4014i | −0.822976 | + | 0.535158i | ||||
\(538\) | 30.1796 | + | 1.43763i | 1.30114 | + | 0.0619808i | ||||
\(539\) | 15.3168 | + | 4.49742i | 0.659741 | + | 0.193718i | ||||
\(540\) | 2.23068 | + | 34.9698i | 0.0959932 | + | 1.50486i | ||||
\(541\) | −12.8295 | − | 11.1169i | −0.551585 | − | 0.477951i | 0.333907 | − | 0.942606i | \(-0.391633\pi\) |
−0.885492 | + | 0.464655i | \(0.846178\pi\) | |||||||
\(542\) | 63.2652 | + | 21.8963i | 2.71747 | + | 0.940526i | ||||
\(543\) | 11.8209 | − | 20.7307i | 0.507285 | − | 0.889638i | ||||
\(544\) | 20.2305 | + | 2.90871i | 0.867376 | + | 0.124710i | ||||
\(545\) | 5.15143 | − | 8.01578i | 0.220663 | − | 0.343358i | ||||
\(546\) | −2.69043 | − | 0.503576i | −0.115140 | − | 0.0215510i | ||||
\(547\) | 26.2569 | − | 9.08759i | 1.12266 | − | 0.388557i | 0.298217 | − | 0.954498i | \(-0.403608\pi\) |
0.824446 | + | 0.565941i | \(0.191487\pi\) | |||||||
\(548\) | 5.88919 | + | 2.35768i | 0.251574 | + | 0.100715i | ||||
\(549\) | 0.547887 | − | 0.139160i | 0.0233832 | − | 0.00593921i | ||||
\(550\) | 15.5485 | + | 34.0465i | 0.662991 | + | 1.45175i | ||||
\(551\) | −19.3112 | − | 30.0488i | −0.822684 | − | 1.28012i | ||||
\(552\) | 48.7683 | + | 119.947i | 2.07572 | + | 5.10530i | ||||
\(553\) | −7.13601 | + | 0.681407i | −0.303454 | + | 0.0289764i | ||||
\(554\) | −25.4718 | + | 35.7701i | −1.08219 | + | 1.51973i | ||||
\(555\) | −5.01284 | + | 0.505835i | −0.212783 | + | 0.0214715i | ||||
\(556\) | 47.3556 | + | 49.6651i | 2.00832 | + | 2.10627i | ||||
\(557\) | −2.45683 | − | 12.7473i | −0.104099 | − | 0.540119i | −0.996111 | − | 0.0881066i | \(-0.971918\pi\) |
0.892012 | − | 0.452012i | \(-0.149294\pi\) | |||||||
\(558\) | 31.0270 | + | 4.12155i | 1.31348 | + | 0.174479i | ||||
\(559\) | −0.0179615 | − | 0.0740384i | −0.000759691 | − | 0.00313149i | ||||
\(560\) | −30.2148 | − | 13.7987i | −1.27681 | − | 0.583100i | ||||
\(561\) | −3.84154 | + | 3.36498i | −0.162190 | + | 0.142070i | ||||
\(562\) | 3.97089 | + | 5.57634i | 0.167502 | + | 0.235224i | ||||
\(563\) | 14.7284 | + | 16.9975i | 0.620730 | + | 0.716361i | 0.975846 | − | 0.218462i | \(-0.0701039\pi\) |
−0.355115 | + | 0.934822i | \(0.615558\pi\) | |||||||
\(564\) | −11.6773 | − | 8.22124i | −0.491701 | − | 0.346177i | ||||
\(565\) | 1.82880 | − | 3.16758i | 0.0769384 | − | 0.133261i | ||||
\(566\) | 9.18642 | + | 15.9113i | 0.386134 | + | 0.668804i | ||||
\(567\) | −14.9377 | + | 1.03339i | −0.627325 | + | 0.0433984i | ||||
\(568\) | −123.976 | − | 30.0762i | −5.20191 | − | 1.26197i | ||||
\(569\) | −31.0894 | + | 1.48097i | −1.30334 | + | 0.0620855i | −0.687729 | − | 0.725968i | \(-0.741392\pi\) |
−0.615607 | + | 0.788053i | \(0.711089\pi\) | |||||||
\(570\) | 25.0766 | + | 34.8180i | 1.05034 | + | 1.45837i | ||||
\(571\) | 0.833215 | − | 3.43456i | 0.0348690 | − | 0.143732i | −0.951716 | − | 0.306979i | \(-0.900682\pi\) |
0.986585 | + | 0.163248i | \(0.0521969\pi\) | |||||||
\(572\) | 4.53265 | − | 5.76373i | 0.189520 | − | 0.240994i | ||||
\(573\) | −7.95355 | − | 4.04645i | −0.332264 | − | 0.169043i | ||||
\(574\) | 19.8449 | + | 11.4575i | 0.828310 | + | 0.478225i | ||||
\(575\) | 9.80795 | + | 24.4991i | 0.409020 | + | 1.02168i | ||||
\(576\) | −111.456 | + | 34.0302i | −4.64399 | + | 1.41792i | ||||
\(577\) | 24.0548 | − | 17.1293i | 1.00141 | − | 0.713103i | 0.0431731 | − | 0.999068i | \(-0.486253\pi\) |
0.958240 | + | 0.285964i | \(0.0923139\pi\) | |||||||
\(578\) | −6.45805 | − | 44.9168i | −0.268620 | − | 1.86829i | ||||
\(579\) | −2.92645 | − | 19.6062i | −0.121619 | − | 0.814808i | ||||
\(580\) | −31.1364 | + | 7.55362i | −1.29287 | + | 0.313647i | ||||
\(581\) | −11.9795 | + | 3.51749i | −0.496992 | + | 0.145930i | ||||
\(582\) | 41.7653 | + | 43.3340i | 1.73123 | + | 1.79625i | ||||
\(583\) | −14.3127 | + | 13.6471i | −0.592772 | + | 0.565207i | ||||
\(584\) | −93.3680 | − | 48.1345i | −3.86360 | − | 1.99182i | ||||
\(585\) | 1.05406 | − | 0.623741i | 0.0435798 | − | 0.0257885i | ||||
\(586\) | 1.84206 | + | 19.2910i | 0.0760949 | + | 0.796902i | ||||
\(587\) | 26.7884 | + | 5.16304i | 1.10568 | + | 0.213102i | 0.709244 | − | 0.704963i | \(-0.249036\pi\) |
0.396431 | + | 0.918064i | \(0.370248\pi\) | |||||||
\(588\) | −17.0518 | + | 37.8749i | −0.703204 | + | 1.56193i | ||||
\(589\) | 25.7685 | − | 11.7681i | 1.06177 | − | 0.484895i | ||||
\(590\) | 23.4821 | + | 29.8599i | 0.966743 | + | 1.22931i | ||||
\(591\) | 7.16073 | − | 1.42002i | 0.294553 | − | 0.0584119i | ||||
\(592\) | −13.4117 | − | 38.7506i | −0.551218 | − | 1.59264i | ||||
\(593\) | −12.8527 | − | 12.2550i | −0.527798 | − | 0.503254i | 0.378669 | − | 0.925532i | \(-0.376382\pi\) |
−0.906466 | + | 0.422278i | \(0.861230\pi\) | |||||||
\(594\) | 21.7466 | − | 49.7219i | 0.892273 | − | 2.04011i | ||||
\(595\) | 0.220256 | − | 1.53192i | 0.00902962 | − | 0.0628024i | ||||
\(596\) | −45.9552 | − | 89.1407i | −1.88240 | − | 3.65134i | ||||
\(597\) | −8.85035 | − | 35.6455i | −0.362221 | − | 1.45887i | ||||
\(598\) | 4.58042 | − | 5.28608i | 0.187307 | − | 0.216164i | ||||
\(599\) | 44.3059 | + | 4.23070i | 1.81029 | + | 0.172862i | 0.944709 | − | 0.327909i | \(-0.106344\pi\) |
0.865580 | + | 0.500771i | \(0.166950\pi\) | |||||||
\(600\) | −60.3667 | + | 18.0778i | −2.46446 | + | 0.738022i | ||||
\(601\) | 1.17636 | − | 24.6949i | 0.0479849 | − | 1.00733i | −0.838596 | − | 0.544754i | \(-0.816623\pi\) |
0.886581 | − | 0.462573i | \(-0.153074\pi\) | |||||||
\(602\) | 1.02304 | 0.0416960 | ||||||||
\(603\) | 9.47261 | + | 22.6555i | 0.385754 | + | 0.922601i | ||||
\(604\) | 55.7234 | 2.26735 | ||||||||
\(605\) | −0.182801 | + | 3.83747i | −0.00743192 | + | 0.156015i | ||||
\(606\) | −6.92977 | + | 2.07523i | −0.281503 | + | 0.0843005i | ||||
\(607\) | 25.5512 | + | 2.43985i | 1.03709 | + | 0.0990303i | 0.599687 | − | 0.800234i | \(-0.295292\pi\) |
0.437405 | + | 0.899265i | \(0.355898\pi\) | |||||||
\(608\) | −128.731 | + | 148.563i | −5.22072 | + | 6.02503i | ||||
\(609\) | −3.29913 | − | 13.2875i | −0.133687 | − | 0.538437i | ||||
\(610\) | −0.284512 | − | 0.551877i | −0.0115196 | − | 0.0223448i | ||||
\(611\) | −0.0710382 | + | 0.494082i | −0.00287390 | + | 0.0199884i | ||||
\(612\) | −7.30364 | − | 11.1008i | −0.295232 | − | 0.448725i | ||||
\(613\) | −14.4667 | − | 13.7940i | −0.584305 | − | 0.557134i | 0.339203 | − | 0.940713i | \(-0.389843\pi\) |
−0.923508 | + | 0.383579i | \(0.874691\pi\) | |||||||
\(614\) | 2.21968 | + | 6.41335i | 0.0895791 | + | 0.258822i | ||||
\(615\) | −10.0578 | + | 1.99453i | −0.405568 | + | 0.0804270i | ||||
\(616\) | 39.3829 | + | 50.0794i | 1.58678 | + | 2.01776i | ||||
\(617\) | −37.3579 | + | 17.0608i | −1.50397 | + | 0.686842i | −0.985721 | − | 0.168386i | \(-0.946145\pi\) |
−0.518253 | + | 0.855227i | \(0.673417\pi\) | |||||||
\(618\) | 5.24726 | − | 11.6550i | 0.211076 | − | 0.468835i | ||||
\(619\) | −19.5595 | − | 3.76978i | −0.786161 | − | 0.151520i | −0.219655 | − | 0.975578i | \(-0.570493\pi\) |
−0.566506 | + | 0.824057i | \(0.691705\pi\) | |||||||
\(620\) | −2.41540 | − | 25.2953i | −0.0970050 | − | 1.01588i | ||||
\(621\) | 16.9832 | − | 34.2874i | 0.681513 | − | 1.37591i | ||||
\(622\) | −80.2849 | − | 41.3897i | −3.21913 | − | 1.65958i | ||||
\(623\) | 9.02359 | − | 8.60397i | 0.361522 | − | 0.344711i | ||||
\(624\) | 6.91753 | + | 7.17736i | 0.276923 | + | 0.287324i | ||||
\(625\) | −5.52812 | + | 1.62320i | −0.221125 | + | 0.0649281i | ||||
\(626\) | 12.1510 | − | 2.94779i | 0.485650 | − | 0.117817i | ||||
\(627\) | −7.25109 | − | 48.5799i | −0.289581 | − | 1.94010i | ||||
\(628\) | −0.753792 | − | 5.24274i | −0.0300796 | − | 0.209208i | ||||
\(629\) | 1.55633 | − | 1.10826i | 0.0620549 | − | 0.0441891i | ||||
\(630\) | 4.80267 | + | 15.7297i | 0.191343 | + | 0.626687i | ||||
\(631\) | 15.2704 | + | 38.1436i | 0.607905 | + | 1.51847i | 0.838206 | + | 0.545354i | \(0.183605\pi\) |
−0.230301 | + | 0.973120i | \(0.573971\pi\) | |||||||
\(632\) | 37.8819 | + | 21.8711i | 1.50686 | + | 0.869988i | ||||
\(633\) | −42.6297 | − | 21.6883i | −1.69438 | − | 0.862033i | ||||
\(634\) | 7.23181 | − | 9.19599i | 0.287212 | − | 0.365220i | ||||
\(635\) | −3.00294 | + | 12.3783i | −0.119168 | + | 0.491218i | ||||
\(636\) | −30.0726 | − | 41.7549i | −1.19246 | − | 1.65569i | ||||
\(637\) | 1.45017 | − | 0.0690802i | 0.0574579 | − | 0.00273706i | ||||
\(638\) | 48.2226 | + | 11.6987i | 1.90915 | + | 0.463155i | ||||
\(639\) | 17.6331 | + | 33.3203i | 0.697554 | + | 1.31813i | ||||
\(640\) | 32.8828 | + | 56.9547i | 1.29981 | + | 2.25133i | ||||
\(641\) | 5.43906 | − | 9.42073i | 0.214830 | − | 0.372097i | −0.738390 | − | 0.674374i | \(-0.764414\pi\) |
0.953220 | + | 0.302277i | \(0.0977469\pi\) | |||||||
\(642\) | 46.5421 | + | 32.7674i | 1.83687 | + | 1.29323i | ||||
\(643\) | −27.1472 | − | 31.3295i | −1.07058 | − | 1.23552i | −0.970644 | − | 0.240522i | \(-0.922681\pi\) |
−0.0999368 | − | 0.994994i | \(-0.531864\pi\) | |||||||
\(644\) | 40.2682 | + | 56.5488i | 1.58679 | + | 2.22834i | ||||
\(645\) | −0.344349 | + | 0.301631i | −0.0135587 | + | 0.0118767i | ||||
\(646\) | −14.8011 | − | 6.75943i | −0.582341 | − | 0.265946i | ||||
\(647\) | −4.42336 | − | 18.2334i | −0.173900 | − | 0.716827i | −0.990254 | − | 0.139274i | \(-0.955523\pi\) |
0.816353 | − | 0.577553i | \(-0.195992\pi\) | |||||||
\(648\) | 77.9068 | + | 47.7360i | 3.06047 | + | 1.87525i | ||||
\(649\) | −8.22953 | − | 42.6989i | −0.323037 | − | 1.67608i | ||||
\(650\) | 2.34904 | + | 2.46360i | 0.0921370 | + | 0.0966305i | ||||
\(651\) | 10.8033 | − | 1.09014i | 0.423415 | − | 0.0427258i | ||||
\(652\) | −28.9193 | + | 40.6115i | −1.13257 | + | 1.59047i | ||||
\(653\) | −9.10999 | + | 0.869898i | −0.356501 | + | 0.0340418i | −0.271770 | − | 0.962362i | \(-0.587609\pi\) |
−0.0847310 | + | 0.996404i | \(0.527003\pi\) | |||||||
\(654\) | −14.4620 | − | 35.5699i | −0.565510 | − | 1.39089i | ||||
\(655\) | −4.77612 | − | 7.43179i | −0.186619 | − | 0.290384i | ||||
\(656\) | −34.6675 | − | 75.9112i | −1.35354 | − | 2.96383i | ||||
\(657\) | 7.64175 | + | 30.0863i | 0.298133 | + | 1.17378i | ||||
\(658\) | −6.22271 | − | 2.49120i | −0.242587 | − | 0.0971170i | ||||
\(659\) | −13.2920 | + | 4.60041i | −0.517783 | + | 0.179206i | −0.573446 | − | 0.819243i | \(-0.694394\pi\) |
0.0556633 | + | 0.998450i | \(0.482273\pi\) | |||||||
\(660\) | −43.3063 | − | 8.10578i | −1.68570 | − | 0.315517i | ||||
\(661\) | 12.8392 | − | 19.9781i | 0.499386 | − | 0.777060i | −0.496465 | − | 0.868057i | \(-0.665369\pi\) |
0.995851 | + | 0.0909969i | \(0.0290053\pi\) | |||||||
\(662\) | −23.9841 | − | 3.44839i | −0.932169 | − | 0.134026i | ||||
\(663\) | −0.230065 | + | 0.403471i | −0.00893499 | + | 0.0156695i | ||||
\(664\) | 71.9951 | + | 24.9177i | 2.79395 | + | 0.966995i | ||||
\(665\) | 11.2496 | + | 9.74788i | 0.436243 | + | 0.378006i | ||||
\(666\) | −9.96233 | + | 17.6912i | −0.386032 | + | 0.685519i | ||||
\(667\) | 33.5685 | + | 9.85661i | 1.29978 | + | 0.381650i | ||||
\(668\) | 24.2083 | + | 1.15318i | 0.936648 | + | 0.0446180i | ||||
\(669\) | −26.1761 | + | 17.0216i | −1.01203 | + | 0.658093i | ||||
\(670\) | 21.9002 | − | 15.7438i | 0.846080 | − | 0.608236i | ||||
\(671\) | 0.710755i | 0.0274384i | ||||||||
\(672\) | −65.0493 | + | 38.0232i | −2.50933 | + | 1.46678i | ||||
\(673\) | 3.25168 | − | 11.0742i | 0.125343 | − | 0.426879i | −0.872780 | − | 0.488113i | \(-0.837685\pi\) |
0.998123 | + | 0.0612337i | \(0.0195035\pi\) | |||||||
\(674\) | 5.45304 | − | 57.1068i | 0.210043 | − | 2.19967i | ||||
\(675\) | 15.8255 | + | 9.81399i | 0.609123 | + | 0.377741i | ||||
\(676\) | −23.8753 | + | 68.9831i | −0.918280 | + | 2.65320i | ||||
\(677\) | 7.90290 | − | 4.07423i | 0.303733 | − | 0.156585i | −0.299622 | − | 0.954058i | \(-0.596861\pi\) |
0.603355 | + | 0.797473i | \(0.293830\pi\) | |||||||
\(678\) | −6.19485 | − | 13.3744i | −0.237912 | − | 0.513641i | ||||
\(679\) | 17.5643 | + | 11.2879i | 0.674056 | + | 0.433189i | ||||
\(680\) | −6.51706 | + | 6.83489i | −0.249918 | + | 0.262106i | ||||
\(681\) | 0.785909 | − | 1.01048i | 0.0301161 | − | 0.0387217i | ||||
\(682\) | −14.6265 | + | 36.5352i | −0.560077 | + | 1.39900i | ||||
\(683\) | 5.82782 | − | 4.58305i | 0.222995 | − | 0.175366i | −0.500411 | − | 0.865788i | \(-0.666818\pi\) |
0.723406 | + | 0.690422i | \(0.242575\pi\) | |||||||
\(684\) | 127.796 | − | 1.37195i | 4.88642 | − | 0.0524579i | ||||
\(685\) | −1.12079 | + | 0.720285i | −0.0428230 | + | 0.0275207i | ||||
\(686\) | −9.79210 | + | 50.8062i | −0.373864 | + | 1.93979i | ||||
\(687\) | 2.58474 | + | 3.25071i | 0.0986141 | + | 0.124022i | ||||
\(688\) | −3.03491 | − | 2.16115i | −0.115705 | − | 0.0823931i | ||||
\(689\) | −0.824154 | + | 1.59864i | −0.0313978 | + | 0.0609032i | ||||
\(690\) | −40.8954 | − | 9.68898i | −1.55686 | − | 0.368853i | ||||
\(691\) | 0.341327 | − | 0.0657854i | 0.0129847 | − | 0.00250260i | −0.182755 | − | 0.983159i | \(-0.558501\pi\) |
0.195739 | + | 0.980656i | \(0.437289\pi\) | |||||||
\(692\) | 8.00962 | + | 27.2783i | 0.304480 | + | 1.03696i | ||||
\(693\) | 3.36433 | − | 18.5237i | 0.127800 | − | 0.703657i | ||||
\(694\) | 9.64399 | − | 21.1174i | 0.366081 | − | 0.801605i | ||||
\(695\) | −14.2656 | + | 2.05108i | −0.541124 | + | 0.0778018i | ||||
\(696\) | −30.6329 | + | 77.7238i | −1.16114 | + | 2.94611i | ||||
\(697\) | 2.93861 | − | 2.54632i | 0.111308 | − | 0.0964486i | ||||
\(698\) | −41.9775 | + | 16.8053i | −1.58887 | + | 0.636088i | ||||
\(699\) | −1.01963 | − | 19.2321i | −0.0385658 | − | 0.727424i | ||||
\(700\) | −29.2589 | + | 16.8927i | −1.10588 | + | 0.638482i | ||||
\(701\) | −6.61286 | − | 5.20041i | −0.249764 | − | 0.196417i | 0.485426 | − | 0.874278i | \(-0.338665\pi\) |
−0.735190 | + | 0.677861i | \(0.762907\pi\) | |||||||
\(702\) | 0.389987 | − | 4.92018i | 0.0147191 | − | 0.185700i | ||||
\(703\) | 0.874369 | + | 18.3553i | 0.0329775 | + | 0.692282i | ||||
\(704\) | −6.97193 | − | 146.359i | −0.262764 | − | 5.51610i | ||||
\(705\) | 2.82903 | − | 0.996171i | 0.106547 | − | 0.0375180i | ||||
\(706\) | 13.3096 | + | 10.4668i | 0.500915 | + | 0.393924i | ||||
\(707\) | −2.17329 | + | 1.25475i | −0.0817350 | + | 0.0471897i | ||||
\(708\) | 112.987 | − | 5.99024i | 4.24632 | − | 0.225127i | ||||
\(709\) | −42.5366 | + | 17.0291i | −1.59749 | + | 0.639540i | −0.988168 | − | 0.153378i | \(-0.950985\pi\) |
−0.609327 | + | 0.792919i | \(0.708560\pi\) | |||||||
\(710\) | 31.2935 | − | 27.1160i | 1.17443 | − | 1.01765i | ||||
\(711\) | −2.58240 | − | 12.6656i | −0.0968476 | − | 0.474996i | ||||
\(712\) | −75.3064 | + | 10.8274i | −2.82223 | + | 0.405775i | ||||
\(713\) | −11.5265 | + | 25.2394i | −0.431669 | + | 0.945224i | ||||
\(714\) | −4.53682 | − | 4.27959i | −0.169786 | − | 0.160160i | ||||
\(715\) | 0.433859 | + | 1.47759i | 0.0162254 | + | 0.0552587i | ||||
\(716\) | 73.0786 | − | 14.0847i | 2.73108 | − | 0.526372i | ||||
\(717\) | 6.66542 | − | 28.1335i | 0.248925 | − | 1.05066i | ||||
\(718\) | −1.00814 | + | 1.95552i | −0.0376234 | + | 0.0729792i | ||||
\(719\) | 27.6025 | + | 19.6556i | 1.02940 | + | 0.733032i | 0.964291 | − | 0.264847i | \(-0.0853213\pi\) |
0.0651082 | + | 0.997878i | \(0.479261\pi\) | |||||||
\(720\) | 18.9813 | − | 56.8087i | 0.707391 | − | 2.11714i | ||||
\(721\) | 0.839168 | − | 4.35402i | 0.0312522 | − | 0.162152i | ||||
\(722\) | 87.3984 | − | 56.1676i | 3.25263 | − | 2.09034i | ||||
\(723\) | −4.23470 | − | 2.68947i | −0.157490 | − | 0.100022i | ||||
\(724\) | −61.3695 | + | 48.2615i | −2.28078 | + | 1.79363i | ||||
\(725\) | −6.32813 | + | 15.8069i | −0.235021 | + | 0.587053i | ||||
\(726\) | 12.2207 | + | 9.50473i | 0.453552 | + | 0.352754i | ||||
\(727\) | −30.7477 | + | 32.2473i | −1.14037 | + | 1.19598i | −0.162513 | + | 0.986706i | \(0.551960\pi\) |
−0.977856 | + | 0.209278i | \(0.932889\pi\) | |||||||
\(728\) | 4.87438 | + | 3.13257i | 0.180657 | + | 0.116101i | ||||
\(729\) | −4.70105 | − | 26.5876i | −0.174113 | − | 0.984726i | ||||
\(730\) | 30.3054 | − | 15.6235i | 1.12165 | − | 0.578253i | ||||
\(731\) | 0.0567774 | − | 0.164048i | 0.00209999 | − | 0.00606752i | ||||
\(732\) | −1.83193 | − | 0.253363i | −0.0677099 | − | 0.00936456i | ||||
\(733\) | 0.426427 | − | 4.46575i | 0.0157504 | − | 0.164946i | −0.984174 | − | 0.177202i | \(-0.943295\pi\) |
0.999925 | + | 0.0122562i | \(0.00390137\pi\) | |||||||
\(734\) | 19.1513 | − | 65.2232i | 0.706886 | − | 2.40743i | ||||
\(735\) | −4.40221 | − | 7.53121i | −0.162378 | − | 0.277793i | ||||
\(736\) | − | 192.541i | − | 7.09716i | ||||||
\(737\) | −30.5411 | + | 4.53124i | −1.12499 | + | 0.166910i | ||||
\(738\) | −16.7605 | + | 37.7681i | −0.616963 | + | 1.39026i | ||||
\(739\) | −24.7745 | − | 1.18016i | −0.911346 | − | 0.0434128i | −0.413331 | − | 0.910581i | \(-0.635635\pi\) |
−0.498015 | + | 0.867168i | \(0.665938\pi\) | |||||||
\(740\) | 15.8155 | + | 4.64384i | 0.581388 | + | 0.170711i | ||||
\(741\) | −2.06823 | − | 3.95948i | −0.0759784 | − | 0.145455i | ||||
\(742\) | −18.2526 | − | 15.8159i | −0.670072 | − | 0.580621i | ||||
\(743\) | 16.5993 | + | 5.74509i | 0.608971 | + | 0.210767i | 0.614111 | − | 0.789220i | \(-0.289515\pi\) |
−0.00513970 | + | 0.999987i | \(0.501636\pi\) | |||||||
\(744\) | −57.5572 | − | 32.8200i | −2.11015 | − | 1.20324i | ||||
\(745\) | 20.8483 | + | 2.99754i | 0.763824 | + | 0.109821i | ||||
\(746\) | −36.0213 | + | 56.0502i | −1.31883 | + | 2.05214i | ||||
\(747\) | −8.59121 | − | 20.8096i | −0.314336 | − | 0.761382i | ||||
\(748\) | 15.7887 | − | 5.46453i | 0.577292 | − | 0.199803i | ||||
\(749\) | 18.3317 | + | 7.33890i | 0.669825 | + | 0.268158i | ||||
\(750\) | 15.7745 | − | 46.3813i | 0.576002 | − | 1.69361i | ||||
\(751\) | −6.29423 | − | 13.7824i | −0.229680 | − | 0.502929i | 0.759343 | − | 0.650690i | \(-0.225520\pi\) |
−0.989023 | + | 0.147762i | \(0.952793\pi\) | |||||||
\(752\) | 13.1975 | + | 20.5356i | 0.481262 | + | 0.748858i | ||||
\(753\) | −28.4177 | + | 11.5541i | −1.03560 | + | 0.421055i | ||||
\(754\) | 4.49244 | − | 0.428976i | 0.163605 | − | 0.0156224i | ||||
\(755\) | −6.78841 | + | 9.53299i | −0.247056 | + | 0.346941i | ||||
\(756\) | 46.5443 | + | 15.2745i | 1.69280 | + | 0.555527i | ||||
\(757\) | 0.136195 | + | 0.142837i | 0.00495009 | + | 0.00519151i | 0.726204 | − | 0.687479i | \(-0.241283\pi\) |
−0.721254 | + | 0.692670i | \(0.756434\pi\) | |||||||
\(758\) | −15.2639 | − | 79.1964i | −0.554408 | − | 2.87654i | ||||
\(759\) | 36.5274 | + | 31.3095i | 1.32586 | + | 1.13646i | ||||
\(760\) | −21.4143 | − | 88.2710i | −0.776779 | − | 3.20193i | ||||
\(761\) | −1.57319 | − | 0.718451i | −0.0570280 | − | 0.0260438i | 0.386697 | − | 0.922207i | \(-0.373616\pi\) |
−0.443725 | + | 0.896163i | \(0.646343\pi\) | |||||||
\(762\) | 33.8211 | + | 38.6109i | 1.22521 | + | 1.39872i | ||||
\(763\) | −7.72666 | − | 10.8506i | −0.279724 | − | 0.392817i | ||||
\(764\) | 19.1184 | + | 22.0638i | 0.691678 | + | 0.798239i | ||||
\(765\) | 2.78885 | + | 0.102857i | 0.100831 | + | 0.00371881i | ||||
\(766\) | 19.9565 | − | 34.5657i | 0.721058 | − | 1.24891i | ||||
\(767\) | −1.97739 | − | 3.42493i | −0.0713993 | − | 0.123667i | ||||
\(768\) | 129.933 | + | 11.7037i | 4.68856 | + | 0.422320i | ||||
\(769\) | 49.8451 | + | 12.0923i | 1.79746 | + | 0.436059i | 0.988426 | − | 0.151701i | \(-0.0484750\pi\) |
0.809035 | + | 0.587760i | \(0.199990\pi\) | |||||||
\(770\) | −20.6556 | + | 0.983946i | −0.744375 | + | 0.0354589i | ||||
\(771\) | 25.0436 | − | 18.0368i | 0.901922 | − | 0.649580i | ||||
\(772\) | −15.2899 | + | 63.0256i | −0.550294 | + | 2.26834i | ||||
\(773\) | −7.59088 | + | 9.65259i | −0.273025 | + | 0.347180i | −0.903159 | − | 0.429307i | \(-0.858758\pi\) |
0.630133 | + | 0.776487i | \(0.283000\pi\) | |||||||
\(774\) | 0.195057 | + | 1.83440i | 0.00701118 | + | 0.0659361i | ||||
\(775\) | −11.6945 | − | 6.75180i | −0.420078 | − | 0.242532i | ||||
\(776\) | −47.3508 | − | 118.277i | −1.69979 | − | 4.24588i | ||||
\(777\) | −1.94807 | + | 6.76871i | −0.0698866 | + | 0.242826i | ||||
\(778\) | 8.09623 | − | 5.76530i | 0.290264 | − | 0.206696i | ||||
\(779\) | 5.32227 | + | 37.0172i | 0.190690 | + | 1.32628i | ||||
\(780\) | −3.96305 | + | 0.591529i | −0.141900 | + | 0.0211801i | ||||
\(781\) | −46.0636 | + | 11.1749i | −1.64829 | + | 0.399870i | ||||
\(782\) | 15.2919 | − | 4.49010i | 0.546836 | − | 0.160566i | ||||
\(783\) | 23.1966 | − | 8.44907i | 0.828979 | − | 0.301945i | ||||
\(784\) | 51.3842 | − | 48.9948i | 1.83515 | − | 1.74981i | ||||
\(785\) | 0.988741 | + | 0.509731i | 0.0352897 | + | 0.0181931i | ||||
\(786\) | −35.5683 | − | 1.50303i | −1.26868 | − | 0.0536111i | ||||
\(787\) | −0.107579 | − | 1.12661i | −0.00383476 | − | 0.0401594i | 0.993352 | − | 0.115116i | \(-0.0367241\pi\) |
−0.997187 | + | 0.0749570i | \(0.976118\pi\) | |||||||
\(788\) | −23.4514 | − | 4.51989i | −0.835422 | − | 0.161014i | ||||
\(789\) | −16.6223 | − | 7.48359i | −0.591770 | − | 0.266423i | ||||
\(790\) | −12.9149 | + | 5.89801i | −0.459490 | + | 0.209842i | ||||
\(791\) | −3.16082 | − | 4.01931i | −0.112386 | − | 0.142910i | ||||
\(792\) | −82.2878 | + | 80.1652i | −2.92397 | + | 2.84855i | ||||
\(793\) | 0.0211419 | + | 0.0610854i | 0.000750770 | + | 0.00216921i | ||||
\(794\) | −13.7543 | − | 13.1147i | −0.488120 | − | 0.465422i | ||||
\(795\) | 10.8068 | − | 0.0580064i | 0.383279 | − | 0.00205728i | ||||
\(796\) | −17.1002 | + | 118.934i | −0.606100 | + | 4.21551i | ||||
\(797\) | −15.4495 | − | 29.9679i | −0.547250 | − | 1.06152i | −0.986593 | − | 0.163197i | \(-0.947819\pi\) |
0.439344 | − | 0.898319i | \(-0.355211\pi\) | |||||||
\(798\) | 58.2176 | − | 14.4547i | 2.06088 | − | 0.511693i | ||||
\(799\) | −0.744824 | + | 0.859572i | −0.0263500 | + | 0.0304095i | ||||
\(800\) | 93.2800 | + | 8.90716i | 3.29795 | + | 0.314916i | ||||
\(801\) | 17.1481 | + | 14.5396i | 0.605900 | + | 0.513731i | ||||
\(802\) | −1.25144 | + | 26.2710i | −0.0441900 | + | 0.927663i | ||||
\(803\) | −39.0300 | −1.37734 | ||||||||
\(804\) | −0.792013 | − | 80.3329i | −0.0279321 | − | 2.83312i | ||||
\(805\) | −14.5798 | −0.513871 | ||||||||
\(806\) | −0.170301 | + | 3.57507i | −0.00599861 | + | 0.125926i | ||||
\(807\) | 5.42208 | + | 18.1058i | 0.190866 | + | 0.637355i | ||||
\(808\) | 15.2437 | + | 1.45560i | 0.536272 | + | 0.0512078i | ||||
\(809\) | −5.93771 | + | 6.85248i | −0.208759 | + | 0.240921i | −0.850467 | − | 0.526028i | \(-0.823681\pi\) |
0.641708 | + | 0.766949i | \(0.278226\pi\) | |||||||
\(810\) | −27.2891 | + | 11.6107i | −0.958840 | + | 0.407958i | ||||
\(811\) | −3.06029 | − | 5.93614i | −0.107461 | − | 0.208446i | 0.828973 | − | 0.559288i | \(-0.188926\pi\) |
−0.936434 | + | 0.350842i | \(0.885895\pi\) | |||||||
\(812\) | −6.37440 | + | 44.3349i | −0.223698 | + | 1.55585i | ||||
\(813\) | 0.224784 | + | 41.8782i | 0.00788352 | + | 1.46873i | ||||
\(814\) | −18.4757 | − | 17.6165i | −0.647572 | − | 0.617458i | ||||
\(815\) | −3.42464 | − | 9.89486i | −0.119960 | − | 0.346602i | ||||
\(816\) | 4.41820 | + | 22.2796i | 0.154668 | + | 0.779942i | ||||
\(817\) | 1.03210 | + | 1.31242i | 0.0361085 | + | 0.0459157i | ||||
\(818\) | 57.4030 | − | 26.2151i | 2.00705 | − | 0.916589i | ||||
\(819\) | −0.261854 | − | 1.69208i | −0.00914992 | − | 0.0591261i | ||||
\(820\) | 32.9392 | + | 6.34852i | 1.15029 | + | 0.221700i | ||||
\(821\) | −0.999001 | − | 10.4620i | −0.0348654 | − | 0.365127i | −0.996021 | − | 0.0891195i | \(-0.971595\pi\) |
0.961156 | − | 0.276007i | \(-0.0890114\pi\) | |||||||
\(822\) | −0.226671 | + | 5.36403i | −0.00790605 | + | 0.187092i | ||||
\(823\) | 36.9994 | + | 19.0745i | 1.28972 | + | 0.664897i | 0.960216 | − | 0.279258i | \(-0.0900884\pi\) |
0.329503 | + | 0.944154i | \(0.393119\pi\) | |||||||
\(824\) | −19.5823 | + | 18.6717i | −0.682182 | + | 0.650459i | ||||
\(825\) | −16.8583 | + | 16.2480i | −0.586929 | + | 0.565681i | ||||
\(826\) | 50.9543 | − | 14.9615i | 1.77293 | − | 0.520578i | ||||
\(827\) | −49.7062 | + | 12.0586i | −1.72845 | + | 0.419318i | −0.972047 | − | 0.234785i | \(-0.924561\pi\) |
−0.756405 | + | 0.654103i | \(0.773046\pi\) | |||||||
\(828\) | −93.7192 | + | 82.9862i | −3.25697 | + | 2.88397i | ||||
\(829\) | 6.72282 | + | 46.7582i | 0.233493 | + | 1.62398i | 0.682802 | + | 0.730604i | \(0.260761\pi\) |
−0.449308 | + | 0.893377i | \(0.648330\pi\) | |||||||
\(830\) | −20.1430 | + | 14.3438i | −0.699174 | + | 0.497879i | ||||
\(831\) | −26.3979 | − | 7.59745i | −0.915733 | − | 0.263553i | ||||
\(832\) | −4.95273 | − | 12.3713i | −0.171705 | − | 0.428899i | ||||
\(833\) | 2.86487 | + | 1.65403i | 0.0992618 | + | 0.0573089i | ||||
\(834\) | −26.3356 | + | 51.7643i | −0.911929 | + | 1.79245i | ||||
\(835\) | −3.14642 | + | 4.00100i | −0.108886 | + | 0.138460i | ||||
\(836\) | −37.8849 | + | 156.164i | −1.31028 | + | 5.40103i | ||||
\(837\) | 4.01451 | + | 19.1634i | 0.138762 | + | 0.662384i | ||||
\(838\) | 0.962352 | − | 0.0458425i | 0.0332439 | − | 0.00158360i | ||||
\(839\) | −21.4431 | − | 5.20204i | −0.740298 | − | 0.179594i | −0.152161 | − | 0.988356i | \(-0.548623\pi\) |
−0.588137 | + | 0.808761i | \(0.700138\pi\) | |||||||
\(840\) | 3.12333 | − | 34.6749i | 0.107765 | − | 1.19640i | ||||
\(841\) | −3.21354 | − | 5.56601i | −0.110812 | − | 0.191931i | ||||
\(842\) | 19.5637 | − | 33.8853i | 0.674209 | − | 1.16776i | ||||
\(843\) | −2.46523 | + | 3.50156i | −0.0849070 | + | 0.120600i | ||||
\(844\) | 102.471 | + | 118.258i | 3.52721 | + | 4.07061i | ||||
\(845\) | −8.89285 | − | 12.4883i | −0.305923 | − | 0.429609i | ||||
\(846\) | 3.28049 | − | 11.6328i | 0.112785 | − | 0.399945i | ||||
\(847\) | 4.88545 | + | 2.23111i | 0.167866 | + | 0.0766619i | ||||
\(848\) | 20.7365 | + | 85.4771i | 0.712095 | + | 2.93529i | ||||
\(849\) | −7.47966 | + | 8.72619i | −0.256701 | + | 0.299482i | ||||
\(850\) | 1.46789 | + | 7.61613i | 0.0503482 | + | 0.261231i | ||||
\(851\) | −12.4206 | − | 13.0263i | −0.425773 | − | 0.446538i | ||||
\(852\) | −12.3823 | − | 122.710i | −0.424212 | − | 4.20396i | ||||
\(853\) | 24.5890 | − | 34.5305i | 0.841913 | − | 1.18230i | −0.139467 | − | 0.990227i | \(-0.544539\pi\) |
0.981380 | − | 0.192075i | \(-0.0615215\pi\) | |||||||
\(854\) | −0.864076 | + | 0.0825093i | −0.0295681 | + | 0.00282341i | ||||
\(855\) | −15.3339 | + | 22.0302i | −0.524408 | + | 0.753416i | ||||
\(856\) | −65.1427 | − | 101.364i | −2.22653 | − | 3.46455i | ||||
\(857\) | 20.9590 | + | 45.8937i | 0.715945 | + | 1.56770i | 0.819502 | + | 0.573077i | \(0.194250\pi\) |
−0.103557 | + | 0.994624i | \(0.533022\pi\) | |||||||
\(858\) | 5.87526 | + | 1.99820i | 0.200578 | + | 0.0682174i | ||||
\(859\) | −23.5768 | − | 9.43875i | −0.804432 | − | 0.322046i | −0.0672463 | − | 0.997736i | \(-0.521421\pi\) |
−0.737185 | + | 0.675691i | \(0.763846\pi\) | |||||||
\(860\) | 1.41527 | − | 0.489830i | 0.0482604 | − | 0.0167031i | ||||
\(861\) | −2.63722 | + | 14.0897i | −0.0898761 | + | 0.480177i | ||||
\(862\) | 60.2457 | − | 93.7442i | 2.05198 | − | 3.19294i | ||||
\(863\) | 39.5164 | + | 5.68160i | 1.34515 | + | 0.193404i | 0.776991 | − | 0.629512i | \(-0.216745\pi\) |
0.568163 | + | 0.822916i | \(0.307654\pi\) | |||||||
\(864\) | −80.5815 | − | 109.389i | −2.74144 | − | 3.72150i | ||||
\(865\) | −5.64244 | − | 1.95287i | −0.191849 | − | 0.0663995i | ||||
\(866\) | 79.6139 | + | 68.9859i | 2.70539 | + | 2.34423i | ||||
\(867\) | 25.1608 | − | 13.1427i | 0.854506 | − | 0.446350i | ||||
\(868\) | −34.0843 | − | 10.0080i | −1.15690 | − | 0.339695i | ||||
\(869\) | 16.2342 | + | 0.773330i | 0.550707 | + | 0.0262334i | ||||
\(870\) | −14.7824 | − | 22.7327i | −0.501170 | − | 0.770709i | ||||
\(871\) | −2.49005 | + | 1.29790i | −0.0843721 | + | 0.0439776i | ||||
\(872\) | 81.2823i | 2.75257i | ||||||||
\(873\) | −16.8913 | + | 33.6465i | −0.571683 | + | 1.13876i | ||||
\(874\) | −43.1856 | + | 147.077i | −1.46077 | + | 4.97494i | ||||
\(875\) | 1.61551 | − | 16.9184i | 0.0546142 | − | 0.571946i | ||||
\(876\) | 13.9130 | − | 100.597i | 0.470077 | − | 3.39887i | ||||
\(877\) | −4.73625 | + | 13.6845i | −0.159932 | + | 0.462092i | −0.996287 | − | 0.0860956i | \(-0.972561\pi\) |
0.836355 | + | 0.548188i | \(0.184682\pi\) | |||||||
\(878\) | 17.6884 | − | 9.11900i | 0.596954 | − | 0.307751i | ||||
\(879\) | −10.9997 | + | 5.09491i | −0.371010 | + | 0.171847i | ||||
\(880\) | 63.3546 | + | 40.7155i | 2.13568 | + | 1.37252i | ||||
\(881\) | 3.46727 | − | 3.63636i | 0.116815 | − | 0.122512i | −0.662729 | − | 0.748859i | \(-0.730602\pi\) |
0.779545 | + | 0.626347i | \(0.215451\pi\) | |||||||
\(882\) | −35.0284 | − | 2.96572i | −1.17947 | − | 0.0998611i | ||||
\(883\) | −7.52802 | + | 18.8041i | −0.253338 | + | 0.632807i | −0.999455 | − | 0.0330071i | \(-0.989492\pi\) |
0.746117 | + | 0.665815i | \(0.231916\pi\) | |||||||
\(884\) | 1.19440 | − | 0.939290i | 0.0401722 | − | 0.0315918i | ||||
\(885\) | −12.7397 | + | 20.0592i | −0.428240 | + | 0.674284i | ||||
\(886\) | −16.5678 | + | 10.6475i | −0.556605 | + | 0.357708i | ||||
\(887\) | 3.91971 | − | 20.3374i | 0.131611 | − | 0.682863i | −0.854851 | − | 0.518873i | \(-0.826352\pi\) |
0.986462 | − | 0.163989i | \(-0.0524363\pi\) | |||||||
\(888\) | 33.6411 | − | 26.7491i | 1.12892 | − | 0.897641i | ||||
\(889\) | 14.5048 | + | 10.3289i | 0.486477 | + | 0.346419i | ||||
\(890\) | 11.3156 | − | 21.9492i | 0.379300 | − | 0.735739i | ||||
\(891\) | 33.8560 | + | 2.50073i | 1.13422 | + | 0.0837775i | ||||
\(892\) | 100.305 | − | 19.3322i | 3.35845 | − | 0.647289i | ||||
\(893\) | −3.08194 | − | 10.4961i | −0.103133 | − | 0.351240i | ||||
\(894\) | 58.2423 | − | 61.7430i | 1.94791 | − | 2.06499i | ||||
\(895\) | −6.49310 | + | 14.2179i | −0.217041 | + | 0.475252i | ||||
\(896\) | 91.0035 | − | 13.0843i | 3.04021 | − | 0.437117i | ||||
\(897\) | 4.07065 | + | 1.60435i | 0.135915 | + | 0.0535675i | ||||
\(898\) | 25.2564 | − | 21.8848i | 0.842816 | − | 0.730304i | ||||
\(899\) | −16.6200 | + | 6.65365i | −0.554308 | + | 0.221912i | ||||
\(900\) | −35.8686 | − | 49.2430i | −1.19562 | − | 1.64143i | ||||
\(901\) | −3.54913 | + | 2.04909i | −0.118239 | + | 0.0682650i | ||||
\(902\) | −40.8382 | − | 32.1155i | −1.35976 | − | 1.06933i | ||||
\(903\) | 0.212554 | + | 0.603632i | 0.00707336 | + | 0.0200876i | ||||
\(904\) | 1.48462 | + | 31.1661i | 0.0493778 | + | 1.03657i | ||||
\(905\) | −0.780194 | − | 16.3783i | −0.0259345 | − | 0.544433i | ||||
\(906\) | 15.6638 | + | 44.4836i | 0.520394 | + | 1.47787i | ||||
\(907\) | 27.0869 | + | 21.3014i | 0.899406 | + | 0.707300i | 0.956706 | − | 0.291057i | \(-0.0940068\pi\) |
−0.0573002 | + | 0.998357i | \(0.518249\pi\) | |||||||
\(908\) | −3.62693 | + | 2.09401i | −0.120364 | + | 0.0694921i | ||||
\(909\) | −2.66424 | − | 3.65766i | −0.0883673 | − | 0.121317i | ||||
\(910\) | −1.74596 | + | 0.698978i | −0.0578781 | + | 0.0231709i | ||||
\(911\) | 3.68341 | − | 3.19169i | 0.122037 | − | 0.105746i | −0.591704 | − | 0.806155i | \(-0.701545\pi\) |
0.713741 | + | 0.700410i | \(0.246999\pi\) | |||||||
\(912\) | −203.241 | − | 80.1026i | −6.73000 | − | 2.65246i | ||||
\(913\) | 28.0187 | − | 4.02849i | 0.927285 | − | 0.133323i | ||||
\(914\) | −5.13659 | + | 11.2476i | −0.169903 | + | 0.372036i | ||||
\(915\) | 0.266516 | − | 0.282535i | 0.00881074 | − | 0.00934031i | ||||
\(916\) | −3.82792 | − | 13.0367i | −0.126478 | − | 0.430744i | ||||
\(917\) | −12.1269 | + | 2.33726i | −0.400465 | + | 0.0771832i | ||||
\(918\) | 6.80867 | − | 8.95086i | 0.224719 | − | 0.295423i | ||||
\(919\) | 17.0543 | − | 33.0806i | 0.562568 | − | 1.09123i | −0.420380 | − | 0.907348i | \(-0.638103\pi\) |
0.982948 | − | 0.183882i | \(-0.0588663\pi\) | |||||||
\(920\) | 72.4700 | + | 51.6057i | 2.38927 | + | 1.70139i | ||||
\(921\) | −3.32294 | + | 2.64218i | −0.109495 | + | 0.0870628i | ||||
\(922\) | 12.2357 | − | 63.4849i | 0.402962 | − | 2.09077i | ||||
\(923\) | −3.62650 | + | 2.33061i | −0.119368 | + | 0.0767131i | ||||
\(924\) | −33.0211 | + | 51.9933i | −1.08631 | + | 1.71045i | ||||
\(925\) | 6.88544 | − | 5.41477i | 0.226392 | − | 0.178036i | ||||
\(926\) | 22.5093 | − | 56.2254i | 0.739700 | − | 1.84768i | ||||
\(927\) | 7.96712 | + | 0.674546i | 0.261675 | + | 0.0221550i | ||||
\(928\) | 85.7274 | − | 89.9083i | 2.81414 | − | 2.95139i | ||||
\(929\) | 20.8289 | + | 13.3859i | 0.683374 | + | 0.439178i | 0.835725 | − | 0.549149i | \(-0.185048\pi\) |
−0.152351 | + | 0.988326i | \(0.548684\pi\) | |||||||
\(930\) | 19.5140 | − | 9.03866i | 0.639890 | − | 0.296389i | ||||
\(931\) | −28.2800 | + | 14.5793i | −0.926838 | + | 0.477818i | ||||
\(932\) | −20.6077 | + | 59.5421i | −0.675028 | + | 1.95037i | ||||
\(933\) | 7.74095 | − | 55.9706i | 0.253427 | − | 1.83239i | ||||
\(934\) | −7.36707 | + | 77.1515i | −0.241058 | + | 2.52447i | ||||
\(935\) | −0.988579 | + | 3.36679i | −0.0323300 | + | 0.110106i | ||||
\(936\) | −4.68761 | + | 9.33745i | −0.153219 | + | 0.305204i | ||||
\(937\) | − | 6.87076i | − | 0.224458i | −0.993682 | − | 0.112229i | \(-0.964201\pi\) | ||
0.993682 | − | 0.112229i | \(-0.0357990\pi\) | |||||||
\(938\) | −9.05411 | − | 36.6032i | −0.295627 | − | 1.19514i | ||||
\(939\) | 4.26387 | + | 6.55707i | 0.139146 | + | 0.213982i | ||||
\(940\) | −9.80127 | − | 0.466892i | −0.319682 | − | 0.0152283i | ||||
\(941\) | −28.6495 | − | 8.41224i | −0.933946 | − | 0.274231i | −0.220858 | − | 0.975306i | \(-0.570886\pi\) |
−0.713088 | + | 0.701075i | \(0.752704\pi\) | |||||||
\(942\) | 3.97334 | − | 2.07547i | 0.129459 | − | 0.0676225i | ||||
\(943\) | −27.6831 | − | 23.9876i | −0.901487 | − | 0.781143i | ||||
\(944\) | −182.765 | − | 63.2556i | −5.94849 | − | 2.05879i | ||||
\(945\) | −8.28330 | + | 6.10188i | −0.269456 | + | 0.198494i | ||||
\(946\) | −2.29586 | − | 0.330095i | −0.0746449 | − | 0.0107323i | ||||
\(947\) | 4.57724 | − | 7.12233i | 0.148740 | − | 0.231444i | −0.758886 | − | 0.651223i | \(-0.774256\pi\) |
0.907626 | + | 0.419779i | \(0.137892\pi\) | |||||||
\(948\) | −7.78021 | + | 41.5669i | −0.252689 | + | 1.35003i | ||||
\(949\) | −3.35441 | + | 1.16097i | −0.108889 | + | 0.0376867i | ||||
\(950\) | −69.2561 | − | 27.7260i | −2.24696 | − | 0.899549i | ||||
\(951\) | 6.92851 | + | 2.35642i | 0.224672 | + | 0.0764120i | ||||
\(952\) | 5.48450 | + | 12.0094i | 0.177754 | + | 0.389226i | ||||
\(953\) | 19.2409 | + | 29.9394i | 0.623272 | + | 0.969831i | 0.999070 | + | 0.0431289i | \(0.0137326\pi\) |
−0.375797 | + | 0.926702i | \(0.622631\pi\) | |||||||
\(954\) | 24.8792 | − | 35.7439i | 0.805495 | − | 1.15725i | ||||
\(955\) | −6.10366 | + | 0.582829i | −0.197510 | + | 0.0188599i | ||||
\(956\) | −54.8667 | + | 77.0495i | −1.77452 | + | 2.49196i | ||||
\(957\) | 3.11641 | + | 30.8837i | 0.100739 | + | 0.998329i | ||||
\(958\) | −30.2182 | − | 31.6919i | −0.976305 | − | 1.02392i | ||||
\(959\) | 0.352482 | + | 1.82885i | 0.0113822 | + | 0.0590566i | ||||
\(960\) | −52.1095 | + | 60.7939i | −1.68183 | + | 1.96211i | ||||
\(961\) | 3.96117 | + | 16.3282i | 0.127780 | + | 0.526715i | ||||
\(962\) | −2.11189 | − | 0.964470i | −0.0680902 | − | 0.0310957i | ||||
\(963\) | −9.66409 | + | 34.2696i | −0.311421 | + | 1.10432i | ||||
\(964\) | 9.51991 | + | 13.3688i | 0.306616 | + | 0.430582i | ||||
\(965\) | −8.91957 | − | 10.2937i | −0.287131 | − | 0.331367i | ||||
\(966\) | −33.8231 | + | 48.0416i | −1.08824 | + | 1.54571i | ||||
\(967\) | −9.52012 | + | 16.4893i | −0.306147 | + | 0.530261i | −0.977516 | − | 0.210862i | \(-0.932373\pi\) |
0.671369 | + | 0.741123i | \(0.265706\pi\) | |||||||
\(968\) | −16.3864 | − | 28.3821i | −0.526679 | − | 0.912235i | ||||
\(969\) | 0.913140 | − | 10.1376i | 0.0293343 | − | 0.325666i | ||||
\(970\) | 40.1867 | + | 9.74920i | 1.29032 | + | 0.313028i | ||||
\(971\) | −37.9547 | + | 1.80801i | −1.21802 | + | 0.0580217i | −0.646727 | − | 0.762721i | \(-0.723863\pi\) |
−0.571298 | + | 0.820743i | \(0.693560\pi\) | |||||||
\(972\) | −18.5141 | + | 86.3703i | −0.593841 | + | 2.77033i | ||||
\(973\) | −4.75010 | + | 19.5802i | −0.152281 | + | 0.627711i | ||||
\(974\) | −72.0014 | + | 91.5573i | −2.30708 | + | 2.93368i | ||||
\(975\) | −0.965566 | + | 1.89788i | −0.0309229 | + | 0.0607808i | ||||
\(976\) | 2.73763 | + | 1.58057i | 0.0876295 | + | 0.0505929i | ||||
\(977\) | 18.3503 | + | 45.8368i | 0.587077 | + | 1.46645i | 0.862968 | + | 0.505259i | \(0.168603\pi\) |
−0.275891 | + | 0.961189i | \(0.588973\pi\) | |||||||
\(978\) | −40.5490 | − | 11.6702i | −1.29661 | − | 0.373172i | ||||
\(979\) | −23.0265 | + | 16.3971i | −0.735930 | + | 0.524054i | ||||
\(980\) | 4.06158 | + | 28.2489i | 0.129742 | + | 0.902377i | ||||
\(981\) | 17.9828 | − | 15.9234i | 0.574147 | − | 0.508395i | ||||
\(982\) | 32.2989 | − | 7.83562i | 1.03070 | − | 0.250045i | ||||
\(983\) | 27.4055 | − | 8.04697i | 0.874099 | − | 0.256659i | 0.186241 | − | 0.982504i | \(-0.440369\pi\) |
0.687858 | + | 0.725845i | \(0.258551\pi\) | |||||||
\(984\) | 62.9795 | − | 60.6995i | 2.00771 | − | 1.93503i | ||||
\(985\) | 3.63018 | − | 3.46137i | 0.115667 | − | 0.110288i | ||||
\(986\) | 9.13981 | + | 4.71190i | 0.291071 | + | 0.150058i | ||||
\(987\) | 0.177026 | − | 4.18922i | 0.00563480 | − | 0.133344i | ||||
\(988\) | 1.38919 | + | 14.5483i | 0.0441961 | + | 0.462843i | ||||
\(989\) | −1.60580 | − | 0.309493i | −0.0510615 | − | 0.00984129i | ||||
\(990\) | −5.70257 | − | 36.8496i | −0.181240 | − | 1.17116i | ||||
\(991\) | 55.1012 | − | 25.1639i | 1.75035 | − | 0.799357i | 0.761919 | − | 0.647673i | \(-0.224258\pi\) |
0.988429 | − | 0.151684i | \(-0.0484696\pi\) | |||||||
\(992\) | 60.9038 | + | 77.4455i | 1.93370 | + | 2.45890i | ||||
\(993\) | −2.94843 | − | 14.8680i | −0.0935655 | − | 0.471821i | ||||
\(994\) | −18.9329 | − | 54.7030i | −0.600515 | − | 1.73507i | ||||
\(995\) | −18.2637 | − | 17.4144i | −0.578999 | − | 0.552074i | ||||
\(996\) | 0.395335 | + | 73.6526i | 0.0125267 | + | 2.33377i | ||||
\(997\) | 2.30940 | − | 16.0622i | 0.0731394 | − | 0.508696i | −0.920015 | − | 0.391884i | \(-0.871823\pi\) |
0.993154 | − | 0.116812i | \(-0.0372675\pi\) | |||||||
\(998\) | 19.1441 | + | 37.1343i | 0.605995 | + | 1.17547i | ||||
\(999\) | −12.5083 | − | 2.20251i | −0.395745 | − | 0.0696843i |
(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 | 201.2.p.b.2.20 | yes | 400 | |
3.2 | odd | 2 | inner | 201.2.p.b.2.1 | ✓ | 400 | |
67.34 | odd | 66 | inner | 201.2.p.b.101.1 | yes | 400 | |
201.101 | even | 66 | inner | 201.2.p.b.101.20 | yes | 400 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.p.b.2.1 | ✓ | 400 | 3.2 | odd | 2 | inner | |
201.2.p.b.2.20 | yes | 400 | 1.1 | even | 1 | trivial | |
201.2.p.b.101.1 | yes | 400 | 67.34 | odd | 66 | inner | |
201.2.p.b.101.20 | yes | 400 | 201.101 | even | 66 | inner |