Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(63,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.63");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.e (of order \(14\), degree \(6\), not 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: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 236.3 | ||
Character | \(\chi\) | \(=\) | 841.236 |
Dual form | 841.2.e.j.196.3 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.602539 | + | 0.137526i | 0.426059 | + | 0.0972452i | 0.430173 | − | 0.902746i | \(-0.358452\pi\) |
−0.00411419 | + | 0.999992i | \(0.501310\pi\) | |||||||
\(3\) | −0.268155 | − | 0.556829i | −0.154819 | − | 0.321486i | 0.809104 | − | 0.587665i | \(-0.199953\pi\) |
−0.963923 | + | 0.266180i | \(0.914239\pi\) | |||||||
\(4\) | −1.45780 | − | 0.702039i | −0.728899 | − | 0.351019i | ||||
\(5\) | 0.857618 | − | 3.75747i | 0.383539 | − | 1.68039i | −0.302756 | − | 0.953068i | \(-0.597907\pi\) |
0.686294 | − | 0.727324i | \(-0.259236\pi\) | |||||||
\(6\) | −0.0849954 | − | 0.372389i | −0.0346992 | − | 0.152027i | ||||
\(7\) | 2.01463 | − | 0.970194i | 0.761458 | − | 0.366699i | −0.0125117 | − | 0.999922i | \(-0.503983\pi\) |
0.773969 | + | 0.633223i | \(0.218268\pi\) | |||||||
\(8\) | −1.74823 | − | 1.39417i | −0.618092 | − | 0.492912i | ||||
\(9\) | 1.63232 | − | 2.04686i | 0.544106 | − | 0.682287i | ||||
\(10\) | 1.03350 | − | 2.14608i | 0.326820 | − | 0.678649i | ||||
\(11\) | −1.08046 | + | 0.861642i | −0.325772 | + | 0.259795i | −0.772694 | − | 0.634778i | \(-0.781092\pi\) |
0.446922 | + | 0.894573i | \(0.352520\pi\) | |||||||
\(12\) | 1.00000i | 0.288675i | ||||||||
\(13\) | 0.147186 | + | 0.184565i | 0.0408220 | + | 0.0511892i | 0.801823 | − | 0.597561i | \(-0.203863\pi\) |
−0.761001 | + | 0.648750i | \(0.775292\pi\) | |||||||
\(14\) | 1.34732 | − | 0.307516i | 0.360086 | − | 0.0821872i | ||||
\(15\) | −2.32225 | + | 0.530037i | −0.599601 | + | 0.136855i | ||||
\(16\) | 1.15601 | + | 1.44960i | 0.289003 | + | 0.362399i | ||||
\(17\) | 4.38197i | 1.06278i | 0.847126 | + | 0.531391i | \(0.178331\pi\) | ||||
−0.847126 | + | 0.531391i | \(0.821669\pi\) | |||||||
\(18\) | 1.26503 | − | 1.00883i | 0.298170 | − | 0.237783i | ||||
\(19\) | 2.10612 | − | 4.37339i | 0.483176 | − | 1.00333i | −0.506796 | − | 0.862066i | \(-0.669170\pi\) |
0.989973 | − | 0.141260i | \(-0.0451153\pi\) | |||||||
\(20\) | −3.88812 | + | 4.87555i | −0.869411 | + | 1.09021i | ||||
\(21\) | −1.08046 | − | 0.861642i | −0.235777 | − | 0.188026i | ||||
\(22\) | −0.769519 | + | 0.370581i | −0.164062 | + | 0.0790081i | ||||
\(23\) | 0.275051 | + | 1.20508i | 0.0573521 | + | 0.251276i | 0.995475 | − | 0.0950275i | \(-0.0302939\pi\) |
−0.938123 | + | 0.346303i | \(0.887437\pi\) | |||||||
\(24\) | −0.307516 | + | 1.34732i | −0.0627715 | + | 0.275020i | ||||
\(25\) | −8.87824 | − | 4.27553i | −1.77565 | − | 0.855107i | ||||
\(26\) | 0.0633028 | + | 0.131450i | 0.0124147 | + | 0.0257794i | ||||
\(27\) | −3.38508 | − | 0.772623i | −0.651459 | − | 0.148691i | ||||
\(28\) | −3.61803 | −0.683744 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | −1.47214 | −0.268774 | ||||||||
\(31\) | −9.83719 | − | 2.24527i | −1.76681 | − | 0.403263i | −0.789277 | − | 0.614038i | \(-0.789544\pi\) |
−0.977535 | + | 0.210775i | \(0.932401\pi\) | |||||||
\(32\) | 2.43757 | + | 5.06167i | 0.430906 | + | 0.894786i | ||||
\(33\) | 0.769519 | + | 0.370581i | 0.133956 | + | 0.0645099i | ||||
\(34\) | −0.602632 | + | 2.64030i | −0.103351 | + | 0.452808i | ||||
\(35\) | −1.91769 | − | 8.40196i | −0.324149 | − | 1.42019i | ||||
\(36\) | −3.81657 | + | 1.83796i | −0.636094 | + | 0.306327i | ||||
\(37\) | 3.68102 | + | 2.93552i | 0.605156 | + | 0.482596i | 0.877482 | − | 0.479609i | \(-0.159221\pi\) |
−0.272326 | + | 0.962205i | \(0.587793\pi\) | |||||||
\(38\) | 1.87047 | − | 2.34549i | 0.303430 | − | 0.380489i | ||||
\(39\) | 0.0633028 | − | 0.131450i | 0.0101366 | − | 0.0210488i | ||||
\(40\) | −6.73785 | + | 5.37326i | −1.06535 | + | 0.849586i | ||||
\(41\) | 3.85410i | 0.601910i | 0.953638 | + | 0.300955i | \(0.0973053\pi\) | ||||
−0.953638 | + | 0.300955i | \(0.902695\pi\) | |||||||
\(42\) | −0.532524 | − | 0.667764i | −0.0821702 | − | 0.103038i | ||||
\(43\) | 7.05464 | − | 1.61018i | 1.07582 | − | 0.245550i | 0.352326 | − | 0.935877i | \(-0.385391\pi\) |
0.723497 | + | 0.690328i | \(0.242534\pi\) | |||||||
\(44\) | 2.18001 | − | 0.497572i | 0.328648 | − | 0.0750118i | ||||
\(45\) | −6.29112 | − | 7.88881i | −0.937825 | − | 1.17599i | ||||
\(46\) | 0.763932i | 0.112636i | ||||||||
\(47\) | 5.47282 | − | 4.36443i | 0.798293 | − | 0.636617i | −0.136968 | − | 0.990575i | \(-0.543736\pi\) |
0.935261 | + | 0.353958i | \(0.115164\pi\) | |||||||
\(48\) | 0.497187 | − | 1.03242i | 0.0717627 | − | 0.149017i | ||||
\(49\) | −1.24698 | + | 1.56366i | −0.178140 | + | 0.223380i | ||||
\(50\) | −4.76149 | − | 3.79716i | −0.673376 | − | 0.536999i | ||||
\(51\) | 2.44001 | − | 1.17505i | 0.341669 | − | 0.164539i | ||||
\(52\) | −0.0849954 | − | 0.372389i | −0.0117867 | − | 0.0516411i | ||||
\(53\) | 0.445042 | − | 1.94986i | 0.0611312 | − | 0.267833i | −0.935121 | − | 0.354328i | \(-0.884710\pi\) |
0.996252 | + | 0.0864950i | \(0.0275667\pi\) | |||||||
\(54\) | −1.93339 | − | 0.931070i | −0.263101 | − | 0.126703i | ||||
\(55\) | 2.31097 | + | 4.79877i | 0.311611 | + | 0.647067i | ||||
\(56\) | −4.87464 | − | 1.11260i | −0.651401 | − | 0.148678i | ||||
\(57\) | −3.00000 | −0.397360 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 6.09017 | 0.792873 | 0.396436 | − | 0.918062i | \(-0.370247\pi\) | ||||
0.396436 | + | 0.918062i | \(0.370247\pi\) | |||||||
\(60\) | 3.75747 | + | 0.857618i | 0.485087 | + | 0.110718i | ||||
\(61\) | −0.268155 | − | 0.556829i | −0.0343337 | − | 0.0712947i | 0.883097 | − | 0.469191i | \(-0.155455\pi\) |
−0.917430 | + | 0.397897i | \(0.869740\pi\) | |||||||
\(62\) | −5.61850 | − | 2.70573i | −0.713551 | − | 0.343628i | ||||
\(63\) | 1.30266 | − | 5.70733i | 0.164120 | − | 0.719056i | ||||
\(64\) | −0.0525301 | − | 0.230149i | −0.00656626 | − | 0.0287687i | ||||
\(65\) | 0.819729 | − | 0.394760i | 0.101675 | − | 0.0489640i | ||||
\(66\) | 0.412701 | + | 0.329118i | 0.0507999 | + | 0.0405116i | ||||
\(67\) | 0.952608 | − | 1.19453i | 0.116380 | − | 0.145935i | −0.720229 | − | 0.693736i | \(-0.755963\pi\) |
0.836609 | + | 0.547801i | \(0.184535\pi\) | |||||||
\(68\) | 3.07631 | − | 6.38802i | 0.373057 | − | 0.774662i | ||||
\(69\) | 0.597266 | − | 0.476304i | 0.0719024 | − | 0.0573402i | ||||
\(70\) | − | 5.32624i | − | 0.636607i | ||||||
\(71\) | −6.52927 | − | 8.18745i | −0.774882 | − | 0.971671i | 0.225115 | − | 0.974332i | \(-0.427724\pi\) |
−0.999996 | + | 0.00266125i | \(0.999153\pi\) | |||||||
\(72\) | −5.70733 | + | 1.30266i | −0.672615 | + | 0.153520i | ||||
\(73\) | −13.3645 | + | 3.05036i | −1.56420 | + | 0.357018i | −0.914953 | − | 0.403561i | \(-0.867772\pi\) |
−0.649245 | + | 0.760579i | \(0.724915\pi\) | |||||||
\(74\) | 1.81425 | + | 2.27500i | 0.210902 | + | 0.264463i | ||||
\(75\) | 6.09017i | 0.703232i | ||||||||
\(76\) | −6.14058 | + | 4.89695i | −0.704373 | + | 0.561719i | ||||
\(77\) | −1.34077 | + | 2.78415i | −0.152795 | + | 0.317283i | ||||
\(78\) | 0.0562200 | − | 0.0704977i | 0.00636567 | − | 0.00798229i | ||||
\(79\) | 4.76149 | + | 3.79716i | 0.535709 | + | 0.427214i | 0.853612 | − | 0.520910i | \(-0.174407\pi\) |
−0.317903 | + | 0.948123i | \(0.602979\pi\) | |||||||
\(80\) | 6.43823 | − | 3.10049i | 0.719816 | − | 0.346645i | ||||
\(81\) | −1.27019 | − | 5.56509i | −0.141133 | − | 0.618343i | ||||
\(82\) | −0.530037 | + | 2.32225i | −0.0585328 | + | 0.256449i | ||||
\(83\) | 8.95948 | + | 4.31466i | 0.983431 | + | 0.473595i | 0.855284 | − | 0.518160i | \(-0.173383\pi\) |
0.128147 | + | 0.991755i | \(0.459097\pi\) | |||||||
\(84\) | 0.970194 | + | 2.01463i | 0.105857 | + | 0.219814i | ||||
\(85\) | 16.4651 | + | 3.75805i | 1.78589 | + | 0.407618i | ||||
\(86\) | 4.47214 | 0.482243 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.09017 | 0.329413 | ||||||||
\(89\) | 4.59016 | + | 1.04767i | 0.486556 | + | 0.111053i | 0.458760 | − | 0.888560i | \(-0.348294\pi\) |
0.0277963 | + | 0.999614i | \(0.491151\pi\) | |||||||
\(90\) | −2.70573 | − | 5.61850i | −0.285209 | − | 0.592242i | ||||
\(91\) | 0.475589 | + | 0.229032i | 0.0498553 | + | 0.0240090i | ||||
\(92\) | 0.445042 | − | 1.94986i | 0.0463988 | − | 0.203287i | ||||
\(93\) | 1.38766 | + | 6.07972i | 0.143893 | + | 0.630437i | ||||
\(94\) | 3.89781 | − | 1.87708i | 0.402028 | − | 0.193606i | ||||
\(95\) | −14.6267 | − | 11.6644i | −1.50066 | − | 1.19674i | ||||
\(96\) | 2.16484 | − | 2.71463i | 0.220948 | − | 0.277060i | ||||
\(97\) | 1.54563 | − | 3.20953i | 0.156935 | − | 0.325878i | −0.807645 | − | 0.589668i | \(-0.799258\pi\) |
0.964580 | + | 0.263790i | \(0.0849727\pi\) | |||||||
\(98\) | −0.966397 | + | 0.770676i | −0.0976208 | + | 0.0778500i | ||||
\(99\) | 3.61803i | 0.363626i | ||||||||
\(100\) | 9.94109 | + | 12.4657i | 0.994109 | + | 1.24657i | ||||
\(101\) | 0.602539 | − | 0.137526i | 0.0599548 | − | 0.0136843i | −0.192438 | − | 0.981309i | \(-0.561640\pi\) |
0.252393 | + | 0.967625i | \(0.418782\pi\) | |||||||
\(102\) | 1.63180 | − | 0.372447i | 0.161572 | − | 0.0368778i | ||||
\(103\) | 5.72385 | + | 7.17748i | 0.563988 | + | 0.707218i | 0.979289 | − | 0.202466i | \(-0.0648955\pi\) |
−0.415302 | + | 0.909684i | \(0.636324\pi\) | |||||||
\(104\) | − | 0.527864i | − | 0.0517613i | ||||||
\(105\) | −4.16422 | + | 3.32086i | −0.406386 | + | 0.324082i | ||||
\(106\) | 0.536310 | − | 1.11366i | 0.0520910 | − | 0.108168i | ||||
\(107\) | 4.21724 | − | 5.28826i | 0.407696 | − | 0.511235i | −0.535016 | − | 0.844842i | \(-0.679694\pi\) |
0.942712 | + | 0.333607i | \(0.108266\pi\) | |||||||
\(108\) | 4.39236 | + | 3.50279i | 0.422655 | + | 0.337056i | ||||
\(109\) | −12.9577 | + | 6.24010i | −1.24112 | + | 0.597693i | −0.935118 | − | 0.354337i | \(-0.884707\pi\) |
−0.306005 | + | 0.952030i | \(0.598992\pi\) | |||||||
\(110\) | 0.732494 | + | 3.20926i | 0.0698405 | + | 0.305991i | ||||
\(111\) | 0.647498 | − | 2.83687i | 0.0614578 | − | 0.269264i | ||||
\(112\) | 3.73533 | + | 1.79884i | 0.352955 | + | 0.169974i | ||||
\(113\) | −3.44689 | − | 7.15754i | −0.324256 | − | 0.673325i | 0.673577 | − | 0.739117i | \(-0.264757\pi\) |
−0.997833 | + | 0.0657920i | \(0.979043\pi\) | |||||||
\(114\) | −1.80762 | − | 0.412577i | −0.169299 | − | 0.0386413i | ||||
\(115\) | 4.76393 | 0.444239 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.618034 | 0.0571373 | ||||||||
\(118\) | 3.66956 | + | 0.837554i | 0.337811 | + | 0.0771031i | ||||
\(119\) | 4.25136 | + | 8.82803i | 0.389721 | + | 0.809264i | ||||
\(120\) | 4.79877 | + | 2.31097i | 0.438066 | + | 0.210962i | ||||
\(121\) | −2.02275 | + | 8.86226i | −0.183887 | + | 0.805660i | ||||
\(122\) | −0.0849954 | − | 0.372389i | −0.00769512 | − | 0.0337145i | ||||
\(123\) | 2.14608 | − | 1.03350i | 0.193505 | − | 0.0931872i | ||||
\(124\) | 12.7644 | + | 10.1792i | 1.14627 | + | 0.914123i | ||||
\(125\) | −11.6644 | + | 14.6267i | −1.04329 | + | 1.30825i | ||||
\(126\) | 1.56981 | − | 3.25974i | 0.139849 | − | 0.290400i | ||||
\(127\) | 12.4657 | − | 9.94109i | 1.10615 | − | 0.882129i | 0.112394 | − | 0.993664i | \(-0.464148\pi\) |
0.993761 | + | 0.111534i | \(0.0355766\pi\) | |||||||
\(128\) | − | 11.3820i | − | 1.00603i | ||||||
\(129\) | −2.78833 | − | 3.49646i | −0.245499 | − | 0.307846i | ||||
\(130\) | 0.548208 | − | 0.125125i | 0.0480810 | − | 0.0109742i | ||||
\(131\) | 13.9670 | − | 3.18789i | 1.22031 | − | 0.278527i | 0.436599 | − | 0.899656i | \(-0.356183\pi\) |
0.783708 | + | 0.621129i | \(0.213326\pi\) | |||||||
\(132\) | −0.861642 | − | 1.08046i | −0.0749963 | − | 0.0940424i | ||||
\(133\) | − | 10.8541i | − | 0.941170i | ||||||
\(134\) | 0.738262 | − | 0.588744i | 0.0637761 | − | 0.0508597i | ||||
\(135\) | −5.80622 | + | 12.0567i | −0.499720 | + | 1.03768i | ||||
\(136\) | 6.10919 | − | 7.66068i | 0.523858 | − | 0.656898i | ||||
\(137\) | −5.58689 | − | 4.45539i | −0.477320 | − | 0.380650i | 0.355070 | − | 0.934840i | \(-0.384457\pi\) |
−0.832391 | + | 0.554189i | \(0.813028\pi\) | |||||||
\(138\) | 0.425380 | − | 0.204852i | 0.0362107 | − | 0.0174382i | ||||
\(139\) | −0.287452 | − | 1.25941i | −0.0243813 | − | 0.106822i | 0.961273 | − | 0.275598i | \(-0.0888757\pi\) |
−0.985654 | + | 0.168776i | \(0.946019\pi\) | |||||||
\(140\) | −3.10289 | + | 13.5947i | −0.262242 | + | 1.14896i | ||||
\(141\) | −3.89781 | − | 1.87708i | −0.328254 | − | 0.158079i | ||||
\(142\) | −2.80815 | − | 5.83119i | −0.235655 | − | 0.489343i | ||||
\(143\) | −0.318058 | − | 0.0725948i | −0.0265974 | − | 0.00607068i | ||||
\(144\) | 4.85410 | 0.404508 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −8.47214 | −0.701159 | ||||||||
\(147\) | 1.20508 | + | 0.275051i | 0.0993931 | + | 0.0226858i | ||||
\(148\) | −3.30534 | − | 6.86361i | −0.271697 | − | 0.564185i | ||||
\(149\) | 8.66555 | + | 4.17311i | 0.709909 | + | 0.341874i | 0.753747 | − | 0.657164i | \(-0.228244\pi\) |
−0.0438379 | + | 0.999039i | \(0.513959\pi\) | |||||||
\(150\) | −0.837554 | + | 3.66956i | −0.0683860 | + | 0.299619i | ||||
\(151\) | 0.594968 | + | 2.60673i | 0.0484178 | + | 0.212132i | 0.993350 | − | 0.115134i | \(-0.0367297\pi\) |
−0.944932 | + | 0.327266i | \(0.893873\pi\) | |||||||
\(152\) | −9.77921 | + | 4.70942i | −0.793199 | + | 0.381984i | ||||
\(153\) | 8.96928 | + | 7.15276i | 0.725123 | + | 0.578266i | ||||
\(154\) | −1.19076 | + | 1.49317i | −0.0959541 | + | 0.120323i | ||||
\(155\) | −16.8731 | + | 35.0374i | −1.35528 | + | 2.81427i | ||||
\(156\) | −0.184565 | + | 0.147186i | −0.0147771 | + | 0.0117843i | ||||
\(157\) | 14.5623i | 1.16220i | 0.813833 | + | 0.581099i | \(0.197377\pi\) | ||||
−0.813833 | + | 0.581099i | \(0.802623\pi\) | |||||||
\(158\) | 2.34677 | + | 2.94276i | 0.186699 | + | 0.234113i | ||||
\(159\) | −1.20508 | + | 0.275051i | −0.0955688 | + | 0.0218130i | ||||
\(160\) | 21.1096 | − | 4.81813i | 1.66886 | − | 0.380907i | ||||
\(161\) | 1.72328 | + | 2.16093i | 0.135814 | + | 0.170305i | ||||
\(162\) | − | 3.52786i | − | 0.277175i | ||||||
\(163\) | 4.71792 | − | 3.76241i | 0.369536 | − | 0.294695i | −0.421061 | − | 0.907032i | \(-0.638342\pi\) |
0.790596 | + | 0.612338i | \(0.209771\pi\) | |||||||
\(164\) | 2.70573 | − | 5.61850i | 0.211282 | − | 0.438731i | ||||
\(165\) | 2.05240 | − | 2.57363i | 0.159779 | − | 0.200357i | ||||
\(166\) | 4.80506 | + | 3.83190i | 0.372945 | + | 0.297413i | ||||
\(167\) | 9.48528 | − | 4.56787i | 0.733993 | − | 0.353472i | −0.0292604 | − | 0.999572i | \(-0.509315\pi\) |
0.763253 | + | 0.646100i | \(0.223601\pi\) | |||||||
\(168\) | 0.687628 | + | 3.01269i | 0.0530516 | + | 0.232434i | ||||
\(169\) | 2.88037 | − | 12.6197i | 0.221567 | − | 0.970749i | ||||
\(170\) | 9.40404 | + | 4.52875i | 0.721257 | + | 0.347339i | ||||
\(171\) | −5.51388 | − | 11.4497i | −0.421657 | − | 0.875580i | ||||
\(172\) | −11.4147 | − | 2.60532i | −0.870359 | − | 0.198654i | ||||
\(173\) | −4.09017 | −0.310970 | −0.155485 | − | 0.987838i | \(-0.549694\pi\) | ||||
−0.155485 | + | 0.987838i | \(0.549694\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −22.0344 | −1.66565 | ||||||||
\(176\) | −2.49806 | − | 0.570167i | −0.188299 | − | 0.0429779i | ||||
\(177\) | −1.63311 | − | 3.39119i | −0.122752 | − | 0.254897i | ||||
\(178\) | 2.62167 | + | 1.26253i | 0.196502 | + | 0.0946305i | ||||
\(179\) | −3.56033 | + | 15.5988i | −0.266112 | + | 1.16591i | 0.648383 | + | 0.761315i | \(0.275446\pi\) |
−0.914495 | + | 0.404598i | \(0.867411\pi\) | |||||||
\(180\) | 3.63293 | + | 15.9169i | 0.270783 | + | 1.18638i | ||||
\(181\) | −5.35560 | + | 2.57912i | −0.398079 | + | 0.191705i | −0.622203 | − | 0.782856i | \(-0.713762\pi\) |
0.224124 | + | 0.974561i | \(0.428048\pi\) | |||||||
\(182\) | 0.255063 | + | 0.203406i | 0.0189065 | + | 0.0150775i | ||||
\(183\) | −0.238152 | + | 0.298633i | −0.0176047 | + | 0.0220756i | ||||
\(184\) | 1.19923 | − | 2.49022i | 0.0884081 | − | 0.183581i | ||||
\(185\) | 14.1870 | − | 11.3138i | 1.04305 | − | 0.831806i | ||||
\(186\) | 3.85410i | 0.282596i | ||||||||
\(187\) | −3.77568 | − | 4.73456i | −0.276105 | − | 0.346225i | ||||
\(188\) | −11.0423 | + | 2.52033i | −0.805340 | + | 0.183814i | ||||
\(189\) | −7.56927 | + | 1.72764i | −0.550584 | + | 0.125667i | ||||
\(190\) | −7.20898 | − | 9.03977i | −0.522994 | − | 0.655814i | ||||
\(191\) | − | 17.0344i | − | 1.23257i | −0.787524 | − | 0.616284i | \(-0.788637\pi\) | ||
0.787524 | − | 0.616284i | \(-0.211363\pi\) | |||||||
\(192\) | −0.114068 | + | 0.0909659i | −0.00823213 | + | 0.00656490i | ||||
\(193\) | −5.41146 | + | 11.2370i | −0.389525 | + | 0.808857i | 0.610335 | + | 0.792143i | \(0.291035\pi\) |
−0.999860 | + | 0.0167141i | \(0.994679\pi\) | |||||||
\(194\) | 1.37269 | − | 1.72130i | 0.0985535 | − | 0.123582i | ||||
\(195\) | −0.439628 | − | 0.350592i | −0.0314824 | − | 0.0251064i | ||||
\(196\) | 2.91560 | − | 1.40408i | 0.208257 | − | 0.100291i | ||||
\(197\) | 1.40006 | + | 6.13405i | 0.0997499 | + | 0.437033i | 0.999999 | + | 0.00165687i | \(0.000527397\pi\) |
−0.900249 | + | 0.435376i | \(0.856615\pi\) | |||||||
\(198\) | −0.497572 | + | 2.18001i | −0.0353609 | + | 0.154926i | ||||
\(199\) | 5.27436 | + | 2.54000i | 0.373890 | + | 0.180056i | 0.611386 | − | 0.791333i | \(-0.290612\pi\) |
−0.237496 | + | 0.971389i | \(0.576327\pi\) | |||||||
\(200\) | 9.56039 | + | 19.8523i | 0.676021 | + | 1.40377i | ||||
\(201\) | −0.920597 | − | 0.210120i | −0.0649339 | − | 0.0148207i | ||||
\(202\) | 0.381966 | 0.0268750 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −4.38197 | −0.306799 | ||||||||
\(205\) | 14.4817 | + | 3.30535i | 1.01144 | + | 0.230856i | ||||
\(206\) | 2.46175 | + | 5.11188i | 0.171518 | + | 0.356162i | ||||
\(207\) | 2.91560 | + | 1.40408i | 0.202648 | + | 0.0975901i | ||||
\(208\) | −0.0973961 | + | 0.426720i | −0.00675320 | + | 0.0295877i | ||||
\(209\) | 1.49272 | + | 6.54002i | 0.103253 | + | 0.452382i | ||||
\(210\) | −2.96581 | + | 1.42826i | −0.204660 | + | 0.0985591i | ||||
\(211\) | −9.11027 | − | 7.26520i | −0.627177 | − | 0.500157i | 0.257551 | − | 0.966265i | \(-0.417084\pi\) |
−0.884728 | + | 0.466108i | \(0.845656\pi\) | |||||||
\(212\) | −2.01766 | + | 2.53006i | −0.138573 | + | 0.173765i | ||||
\(213\) | −2.80815 | + | 5.83119i | −0.192412 | + | 0.399547i | ||||
\(214\) | 3.26832 | − | 2.60640i | 0.223418 | − | 0.178170i | ||||
\(215\) | − | 27.8885i | − | 1.90198i | ||||||
\(216\) | 4.84073 | + | 6.07009i | 0.329370 | + | 0.413017i | ||||
\(217\) | −21.9966 | + | 5.02059i | −1.49323 | + | 0.340820i | ||||
\(218\) | −8.66569 | + | 1.97789i | −0.586915 | + | 0.133959i | ||||
\(219\) | 5.28229 | + | 6.62378i | 0.356944 | + | 0.447594i | ||||
\(220\) | − | 8.61803i | − | 0.581028i | ||||||
\(221\) | −0.808759 | + | 0.644964i | −0.0544030 | + | 0.0433850i | ||||
\(222\) | 0.780285 | − | 1.62028i | 0.0523693 | − | 0.108746i | ||||
\(223\) | 1.66706 | − | 2.09043i | 0.111635 | − | 0.139986i | −0.722875 | − | 0.690979i | \(-0.757180\pi\) |
0.834510 | + | 0.550993i | \(0.185751\pi\) | |||||||
\(224\) | 9.82161 | + | 7.83247i | 0.656234 | + | 0.523329i | ||||
\(225\) | −23.2435 | + | 11.1935i | −1.54957 | + | 0.746233i | ||||
\(226\) | −1.09254 | − | 4.78673i | −0.0726747 | − | 0.318409i | ||||
\(227\) | 4.64814 | − | 20.3648i | 0.308508 | − | 1.35166i | −0.548411 | − | 0.836209i | \(-0.684767\pi\) |
0.856919 | − | 0.515452i | \(-0.172376\pi\) | |||||||
\(228\) | 4.37339 | + | 2.10612i | 0.289635 | + | 0.139481i | ||||
\(229\) | −0.994373 | − | 2.06484i | −0.0657100 | − | 0.136448i | 0.865527 | − | 0.500862i | \(-0.166984\pi\) |
−0.931237 | + | 0.364414i | \(0.881269\pi\) | |||||||
\(230\) | 2.87045 | + | 0.655162i | 0.189272 | + | 0.0432001i | ||||
\(231\) | 1.90983 | 0.125658 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 15.2361 | 0.998148 | 0.499074 | − | 0.866559i | \(-0.333674\pi\) | ||||
0.499074 | + | 0.866559i | \(0.333674\pi\) | |||||||
\(234\) | 0.372389 | + | 0.0849954i | 0.0243439 | + | 0.00555633i | ||||
\(235\) | −11.7056 | − | 24.3070i | −0.763591 | − | 1.58561i | ||||
\(236\) | −8.87824 | − | 4.27553i | −0.577924 | − | 0.278314i | ||||
\(237\) | 0.837554 | − | 3.66956i | 0.0544050 | − | 0.238364i | ||||
\(238\) | 1.34753 | + | 5.90390i | 0.0873472 | + | 0.382693i | ||||
\(239\) | 24.9953 | − | 12.0371i | 1.61681 | − | 0.778614i | 0.616845 | − | 0.787085i | \(-0.288411\pi\) |
0.999964 | + | 0.00847060i | \(0.00269631\pi\) | |||||||
\(240\) | −3.45289 | − | 2.75359i | −0.222883 | − | 0.177743i | ||||
\(241\) | 2.90077 | − | 3.63745i | 0.186855 | − | 0.234309i | −0.679577 | − | 0.733605i | \(-0.737836\pi\) |
0.866432 | + | 0.499296i | \(0.166408\pi\) | |||||||
\(242\) | −2.43757 | + | 5.06167i | −0.156693 | + | 0.325377i | ||||
\(243\) | −10.9021 | + | 8.69411i | −0.699368 | + | 0.557728i | ||||
\(244\) | 1.00000i | 0.0640184i | ||||||||
\(245\) | 4.80599 | + | 6.02652i | 0.307043 | + | 0.385020i | ||||
\(246\) | 1.43523 | − | 0.327581i | 0.0915067 | − | 0.0208858i | ||||
\(247\) | 1.11717 | − | 0.254986i | 0.0710837 | − | 0.0162244i | ||||
\(248\) | 14.0674 | + | 17.6399i | 0.893279 | + | 1.12014i | ||||
\(249\) | − | 6.14590i | − | 0.389480i | ||||||
\(250\) | −9.03977 | + | 7.20898i | −0.571726 | + | 0.455936i | ||||
\(251\) | 8.52689 | − | 17.7063i | 0.538213 | − | 1.11761i | −0.437634 | − | 0.899153i | \(-0.644183\pi\) |
0.975847 | − | 0.218457i | \(-0.0701022\pi\) | |||||||
\(252\) | −5.90578 | + | 7.40561i | −0.372029 | + | 0.466510i | ||||
\(253\) | −1.33553 | − | 1.06505i | −0.0839639 | − | 0.0669590i | ||||
\(254\) | 8.87824 | − | 4.27553i | 0.557070 | − | 0.268271i | ||||
\(255\) | −2.32261 | − | 10.1760i | −0.145447 | − | 0.637246i | ||||
\(256\) | 1.46025 | − | 6.39778i | 0.0912657 | − | 0.399861i | ||||
\(257\) | 20.8848 | + | 10.0576i | 1.30276 | + | 0.627374i | 0.951137 | − | 0.308769i | \(-0.0999170\pi\) |
0.351619 | + | 0.936143i | \(0.385631\pi\) | |||||||
\(258\) | −1.19923 | − | 2.49022i | −0.0746605 | − | 0.155034i | ||||
\(259\) | 10.2639 | + | 2.34267i | 0.637768 | + | 0.145566i | ||||
\(260\) | −1.47214 | −0.0912980 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.85410 | 0.547008 | ||||||||
\(263\) | −16.2893 | − | 3.71793i | −1.00444 | − | 0.229257i | −0.311496 | − | 0.950248i | \(-0.600830\pi\) |
−0.692945 | + | 0.720990i | \(0.743687\pi\) | |||||||
\(264\) | −0.828644 | − | 1.72070i | −0.0509995 | − | 0.105902i | ||||
\(265\) | −6.94485 | − | 3.34446i | −0.426619 | − | 0.205449i | ||||
\(266\) | 1.49272 | − | 6.54002i | 0.0915243 | − | 0.400994i | ||||
\(267\) | −0.647498 | − | 2.83687i | −0.0396262 | − | 0.173614i | ||||
\(268\) | −2.22732 | + | 1.07262i | −0.136055 | + | 0.0655207i | ||||
\(269\) | −4.69099 | − | 3.74094i | −0.286015 | − | 0.228089i | 0.469964 | − | 0.882686i | \(-0.344267\pi\) |
−0.755978 | + | 0.654597i | \(0.772838\pi\) | |||||||
\(270\) | −5.15658 | + | 6.46614i | −0.313819 | + | 0.393517i | ||||
\(271\) | 4.41708 | − | 9.17217i | 0.268319 | − | 0.557170i | −0.722658 | − | 0.691206i | \(-0.757080\pi\) |
0.990976 | + | 0.134037i | \(0.0427939\pi\) | |||||||
\(272\) | −6.35208 | + | 5.06561i | −0.385151 | + | 0.307148i | ||||
\(273\) | − | 0.326238i | − | 0.0197448i | ||||||
\(274\) | −2.75359 | − | 3.45289i | −0.166350 | − | 0.208597i | ||||
\(275\) | 13.2766 | − | 3.03030i | 0.800609 | − | 0.182734i | ||||
\(276\) | −1.20508 | + | 0.275051i | −0.0725371 | + | 0.0165561i | ||||
\(277\) | −13.3314 | − | 16.7171i | −0.801008 | − | 1.00443i | −0.999703 | − | 0.0243714i | \(-0.992242\pi\) |
0.198695 | − | 0.980061i | \(-0.436330\pi\) | |||||||
\(278\) | − | 0.798374i | − | 0.0478833i | ||||||
\(279\) | −20.6532 | + | 16.4704i | −1.23647 | + | 0.986055i | ||||
\(280\) | −8.36116 | + | 17.3621i | −0.499675 | + | 1.03759i | ||||
\(281\) | 14.4180 | − | 18.0795i | 0.860103 | − | 1.07854i | −0.136032 | − | 0.990704i | \(-0.543435\pi\) |
0.996135 | − | 0.0878311i | \(-0.0279936\pi\) | |||||||
\(282\) | −2.09043 | − | 1.66706i | −0.124483 | − | 0.0992722i | ||||
\(283\) | −4.71753 | + | 2.27184i | −0.280428 | + | 0.135047i | −0.568811 | − | 0.822468i | \(-0.692597\pi\) |
0.288383 | + | 0.957515i | \(0.406882\pi\) | |||||||
\(284\) | 3.77046 | + | 16.5194i | 0.223735 | + | 0.980249i | ||||
\(285\) | −2.57286 | + | 11.2724i | −0.152403 | + | 0.667720i | ||||
\(286\) | −0.181659 | − | 0.0874823i | −0.0107417 | − | 0.00517294i | ||||
\(287\) | 3.73922 | + | 7.76458i | 0.220719 | + | 0.458329i | ||||
\(288\) | 14.3394 | + | 3.27288i | 0.844960 | + | 0.192856i | ||||
\(289\) | −2.20163 | −0.129507 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.20163 | −0.129062 | ||||||||
\(292\) | 21.6242 | + | 4.93559i | 1.26546 | + | 0.288834i | ||||
\(293\) | 3.70010 | + | 7.68334i | 0.216162 | + | 0.448866i | 0.980649 | − | 0.195774i | \(-0.0627218\pi\) |
−0.764487 | + | 0.644639i | \(0.777008\pi\) | |||||||
\(294\) | 0.688279 | + | 0.331458i | 0.0401412 | + | 0.0193310i | ||||
\(295\) | 5.22304 | − | 22.8836i | 0.304097 | − | 1.33234i | ||||
\(296\) | −2.34267 | − | 10.2639i | −0.136165 | − | 0.596578i | ||||
\(297\) | 4.32319 | − | 2.08194i | 0.250857 | − | 0.120806i | ||||
\(298\) | 4.64742 | + | 3.70619i | 0.269218 | + | 0.214694i | ||||
\(299\) | −0.181932 | + | 0.228135i | −0.0105214 | + | 0.0131934i | ||||
\(300\) | 4.27553 | − | 8.87824i | 0.246848 | − | 0.512585i | ||||
\(301\) | 12.6503 | − | 10.0883i | 0.729151 | − | 0.581479i | ||||
\(302\) | 1.65248i | 0.0950893i | ||||||||
\(303\) | −0.238152 | − | 0.298633i | −0.0136815 | − | 0.0171560i | ||||
\(304\) | 8.77435 | − | 2.00269i | 0.503244 | − | 0.114862i | ||||
\(305\) | −2.32225 | + | 0.530037i | −0.132971 | + | 0.0303498i | ||||
\(306\) | 4.42065 | + | 5.54332i | 0.252712 | + | 0.316890i | ||||
\(307\) | 19.1803i | 1.09468i | 0.836910 | + | 0.547340i | \(0.184360\pi\) | ||||
−0.836910 | + | 0.547340i | \(0.815640\pi\) | |||||||
\(308\) | 3.90916 | − | 3.11745i | 0.222745 | − | 0.177633i | ||||
\(309\) | 2.46175 | − | 5.11188i | 0.140044 | − | 0.290805i | ||||
\(310\) | −14.9852 | + | 18.7909i | −0.851104 | + | 1.06725i | ||||
\(311\) | −1.63416 | − | 1.30320i | −0.0926647 | − | 0.0738977i | 0.576062 | − | 0.817406i | \(-0.304589\pi\) |
−0.668726 | + | 0.743509i | \(0.733160\pi\) | |||||||
\(312\) | −0.293930 | + | 0.141549i | −0.0166405 | + | 0.00801365i | ||||
\(313\) | 2.87271 | + | 12.5862i | 0.162375 | + | 0.711411i | 0.988909 | + | 0.148524i | \(0.0474523\pi\) |
−0.826534 | + | 0.562887i | \(0.809691\pi\) | |||||||
\(314\) | −2.00269 | + | 8.77435i | −0.113018 | + | 0.495165i | ||||
\(315\) | −20.3279 | − | 9.78942i | −1.14535 | − | 0.551571i | ||||
\(316\) | −4.27553 | − | 8.87824i | −0.240518 | − | 0.499440i | ||||
\(317\) | −27.0135 | − | 6.16566i | −1.51723 | − | 0.346298i | −0.618847 | − | 0.785512i | \(-0.712400\pi\) |
−0.898383 | + | 0.439214i | \(0.855257\pi\) | |||||||
\(318\) | −0.763932 | −0.0428392 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −0.909830 | −0.0508610 | ||||||||
\(321\) | −4.07553 | − | 0.930213i | −0.227474 | − | 0.0519194i | ||||
\(322\) | 0.741162 | + | 1.53904i | 0.0413033 | + | 0.0857673i | ||||
\(323\) | 19.1641 | + | 9.22893i | 1.06632 | + | 0.513511i | ||||
\(324\) | −2.05522 | + | 9.00450i | −0.114179 | + | 0.500250i | ||||
\(325\) | −0.517637 | − | 2.26791i | −0.0287133 | − | 0.125801i | ||||
\(326\) | 3.36015 | − | 1.61817i | 0.186102 | − | 0.0896219i | ||||
\(327\) | 6.94934 | + | 5.54192i | 0.384300 | + | 0.306469i | ||||
\(328\) | 5.37326 | − | 6.73785i | 0.296688 | − | 0.372036i | ||||
\(329\) | 6.79135 | − | 14.1024i | 0.374420 | − | 0.777490i | ||||
\(330\) | 1.59059 | − | 1.26845i | 0.0875591 | − | 0.0698261i | ||||
\(331\) | 21.1803i | 1.16418i | 0.813126 | + | 0.582088i | \(0.197764\pi\) | ||||
−0.813126 | + | 0.582088i | \(0.802236\pi\) | |||||||
\(332\) | −10.0321 | − | 12.5798i | −0.550581 | − | 0.690406i | ||||
\(333\) | 12.0172 | − | 2.74285i | 0.658538 | − | 0.150307i | ||||
\(334\) | 6.34344 | − | 1.44785i | 0.347098 | − | 0.0792228i | ||||
\(335\) | −3.67145 | − | 4.60385i | −0.200593 | − | 0.251535i | ||||
\(336\) | − | 2.56231i | − | 0.139785i | ||||||
\(337\) | 26.6361 | − | 21.2416i | 1.45096 | − | 1.15710i | 0.493065 | − | 0.869992i | \(-0.335876\pi\) |
0.957897 | − | 0.287111i | \(-0.0926950\pi\) | |||||||
\(338\) | 3.47107 | − | 7.20775i | 0.188801 | − | 0.392050i | ||||
\(339\) | −3.06123 | + | 3.83866i | −0.166263 | + | 0.208487i | ||||
\(340\) | −21.3645 | − | 17.0376i | −1.15865 | − | 0.923995i | ||||
\(341\) | 12.5634 | − | 6.05019i | 0.680344 | − | 0.327636i | ||||
\(342\) | −1.74770 | − | 7.65718i | −0.0945049 | − | 0.414053i | ||||
\(343\) | −4.47815 | + | 19.6200i | −0.241797 | + | 1.05938i | ||||
\(344\) | −14.5780 | − | 7.02039i | −0.785992 | − | 0.378514i | ||||
\(345\) | −1.27747 | − | 2.65270i | −0.0687768 | − | 0.142816i | ||||
\(346\) | −2.46449 | − | 0.562503i | −0.132492 | − | 0.0302403i | ||||
\(347\) | 32.1246 | 1.72454 | 0.862270 | − | 0.506449i | \(-0.169042\pi\) | ||||
0.862270 | + | 0.506449i | \(0.169042\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.52786 | 0.242371 | 0.121186 | − | 0.992630i | \(-0.461330\pi\) | ||||
0.121186 | + | 0.992630i | \(0.461330\pi\) | |||||||
\(350\) | −13.2766 | − | 3.03030i | −0.709664 | − | 0.161976i | ||||
\(351\) | −0.355637 | − | 0.738488i | −0.0189825 | − | 0.0394176i | ||||
\(352\) | −6.99506 | − | 3.36864i | −0.372838 | − | 0.179549i | ||||
\(353\) | −4.25563 | + | 18.6451i | −0.226504 | + | 0.992379i | 0.725962 | + | 0.687735i | \(0.241395\pi\) |
−0.952466 | + | 0.304645i | \(0.901462\pi\) | |||||||
\(354\) | −0.517637 | − | 2.26791i | −0.0275121 | − | 0.120538i | ||||
\(355\) | −36.3637 | + | 17.5118i | −1.92999 | + | 0.929432i | ||||
\(356\) | −5.95602 | − | 4.74977i | −0.315668 | − | 0.251737i | ||||
\(357\) | 3.77568 | − | 4.73456i | 0.199830 | − | 0.250579i | ||||
\(358\) | −4.29048 | + | 8.90927i | −0.226759 | + | 0.470870i | ||||
\(359\) | −18.5794 | + | 14.8166i | −0.980583 | + | 0.781989i | −0.975949 | − | 0.218001i | \(-0.930047\pi\) |
−0.00463409 | + | 0.999989i | \(0.501475\pi\) | |||||||
\(360\) | 22.5623i | 1.18914i | ||||||||
\(361\) | −2.84455 | − | 3.56695i | −0.149713 | − | 0.187734i | ||||
\(362\) | −3.58165 | + | 0.817489i | −0.188248 | + | 0.0429663i | ||||
\(363\) | 5.47718 | − | 1.25013i | 0.287477 | − | 0.0656148i | ||||
\(364\) | −0.532524 | − | 0.667764i | −0.0279118 | − | 0.0350003i | ||||
\(365\) | 52.8328i | 2.76540i | ||||||||
\(366\) | −0.184565 | + | 0.147186i | −0.00964739 | + | 0.00769353i | ||||
\(367\) | −11.8322 | + | 24.5699i | −0.617637 | + | 1.28254i | 0.324047 | + | 0.946041i | \(0.394956\pi\) |
−0.941685 | + | 0.336496i | \(0.890758\pi\) | |||||||
\(368\) | −1.42891 | + | 1.79180i | −0.0744872 | + | 0.0934039i | ||||
\(369\) | 7.88881 | + | 6.29112i | 0.410675 | + | 0.327503i | ||||
\(370\) | 10.1042 | − | 4.86591i | 0.525291 | − | 0.252967i | ||||
\(371\) | −0.995144 | − | 4.36001i | −0.0516653 | − | 0.226360i | ||||
\(372\) | 2.24527 | − | 9.83719i | 0.116412 | − | 0.510034i | ||||
\(373\) | −18.5762 | − | 8.94583i | −0.961840 | − | 0.463198i | −0.114018 | − | 0.993479i | \(-0.536372\pi\) |
−0.847822 | + | 0.530281i | \(0.822086\pi\) | |||||||
\(374\) | −1.62387 | − | 3.37201i | −0.0839685 | − | 0.174362i | ||||
\(375\) | 11.2724 | + | 2.57286i | 0.582105 | + | 0.132862i | ||||
\(376\) | −15.6525 | −0.807215 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −4.79837 | −0.246802 | ||||||||
\(379\) | −23.6828 | − | 5.40543i | −1.21650 | − | 0.277658i | −0.434348 | − | 0.900745i | \(-0.643021\pi\) |
−0.782153 | + | 0.623087i | \(0.785878\pi\) | |||||||
\(380\) | 13.1339 | + | 27.2728i | 0.673754 | + | 1.39906i | ||||
\(381\) | −8.87824 | − | 4.27553i | −0.454846 | − | 0.219042i | ||||
\(382\) | 2.34267 | − | 10.2639i | 0.119861 | − | 0.525147i | ||||
\(383\) | −6.42064 | − | 28.1307i | −0.328079 | − | 1.43741i | −0.822787 | − | 0.568350i | \(-0.807582\pi\) |
0.494707 | − | 0.869060i | \(-0.335275\pi\) | |||||||
\(384\) | −6.33781 | + | 3.05213i | −0.323425 | + | 0.155753i | ||||
\(385\) | 9.31148 | + | 7.42566i | 0.474557 | + | 0.378447i | ||||
\(386\) | −4.80599 | + | 6.02652i | −0.244618 | + | 0.306742i | ||||
\(387\) | 8.21961 | − | 17.0682i | 0.417826 | − | 0.867625i | ||||
\(388\) | −4.50642 | + | 3.59375i | −0.228779 | + | 0.182445i | ||||
\(389\) | − | 19.1246i | − | 0.969656i | −0.874609 | − | 0.484828i | \(-0.838882\pi\) | ||
0.874609 | − | 0.484828i | \(-0.161118\pi\) | |||||||
\(390\) | −0.216678 | − | 0.271705i | −0.0109719 | − | 0.0137583i | ||||
\(391\) | −5.28061 | + | 1.20526i | −0.267052 | + | 0.0609528i | ||||
\(392\) | 4.36001 | − | 0.995144i | 0.220214 | − | 0.0502624i | ||||
\(393\) | −5.52044 | − | 6.92242i | −0.278469 | − | 0.349190i | ||||
\(394\) | 3.88854i | 0.195902i | ||||||||
\(395\) | 18.3513 | − | 14.6346i | 0.923352 | − | 0.736349i | ||||
\(396\) | 2.54000 | − | 5.27436i | 0.127640 | − | 0.265047i | ||||
\(397\) | −8.76360 | + | 10.9892i | −0.439833 | + | 0.551533i | −0.951499 | − | 0.307651i | \(-0.900457\pi\) |
0.511666 | + | 0.859184i | \(0.329028\pi\) | |||||||
\(398\) | 2.82869 | + | 2.25581i | 0.141790 | + | 0.113073i | ||||
\(399\) | −6.04388 | + | 2.91058i | −0.302573 | + | 0.145711i | ||||
\(400\) | −4.06557 | − | 17.8124i | −0.203279 | − | 0.890622i | ||||
\(401\) | −5.57835 | + | 24.4404i | −0.278570 | + | 1.22049i | 0.621033 | + | 0.783784i | \(0.286713\pi\) |
−0.899603 | + | 0.436709i | \(0.856144\pi\) | |||||||
\(402\) | −0.525798 | − | 0.253211i | −0.0262244 | − | 0.0126290i | ||||
\(403\) | −1.03350 | − | 2.14608i | −0.0514821 | − | 0.106904i | ||||
\(404\) | −0.974928 | − | 0.222521i | −0.0485045 | − | 0.0110708i | ||||
\(405\) | −22.0000 | −1.09319 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −6.50658 | −0.322519 | ||||||||
\(408\) | −5.90390 | − | 1.34753i | −0.292287 | − | 0.0667125i | ||||
\(409\) | 11.8955 | + | 24.7013i | 0.588196 | + | 1.22140i | 0.956510 | + | 0.291700i | \(0.0942210\pi\) |
−0.368313 | + | 0.929702i | \(0.620065\pi\) | |||||||
\(410\) | 8.27120 | + | 3.98320i | 0.408485 | + | 0.196716i | ||||
\(411\) | −0.982743 | + | 4.30568i | −0.0484751 | + | 0.212383i | ||||
\(412\) | −3.30535 | − | 14.4817i | −0.162843 | − | 0.713461i | ||||
\(413\) | 12.2694 | − | 5.90864i | 0.603739 | − | 0.290745i | ||||
\(414\) | 1.56366 | + | 1.24698i | 0.0768498 | + | 0.0612857i | ||||
\(415\) | 23.8960 | − | 29.9647i | 1.17301 | − | 1.47091i | ||||
\(416\) | −0.575433 | + | 1.19490i | −0.0282129 | + | 0.0585847i | ||||
\(417\) | −0.624194 | + | 0.497778i | −0.0305669 | + | 0.0243763i | ||||
\(418\) | 4.14590i | 0.202783i | ||||||||
\(419\) | 10.9499 | + | 13.7308i | 0.534939 | + | 0.670792i | 0.973706 | − | 0.227809i | \(-0.0731562\pi\) |
−0.438767 | + | 0.898601i | \(0.644585\pi\) | |||||||
\(420\) | 8.40196 | − | 1.91769i | 0.409974 | − | 0.0935738i | ||||
\(421\) | −30.2563 | + | 6.90581i | −1.47460 | + | 0.336569i | −0.882890 | − | 0.469579i | \(-0.844406\pi\) |
−0.591714 | + | 0.806148i | \(0.701548\pi\) | |||||||
\(422\) | −4.49014 | − | 5.63046i | −0.218577 | − | 0.274086i | ||||
\(423\) | − | 18.3262i | − | 0.891052i | ||||||
\(424\) | −3.49646 | + | 2.78833i | −0.169803 | + | 0.135413i | ||||
\(425\) | 18.7352 | − | 38.9041i | 0.908793 | − | 1.88713i | ||||
\(426\) | −2.49396 | + | 3.12733i | −0.120833 | + | 0.151519i | ||||
\(427\) | −1.08046 | − | 0.861642i | −0.0522873 | − | 0.0416978i | ||||
\(428\) | −9.86045 | + | 4.74854i | −0.476623 | + | 0.229529i | ||||
\(429\) | 0.0448660 | + | 0.196571i | 0.00216615 | + | 0.00949053i | ||||
\(430\) | 3.83539 | − | 16.8039i | 0.184959 | − | 0.810357i | ||||
\(431\) | −13.1512 | − | 6.33329i | −0.633472 | − | 0.305064i | 0.0894526 | − | 0.995991i | \(-0.471488\pi\) |
−0.722924 | + | 0.690927i | \(0.757203\pi\) | |||||||
\(432\) | −2.79321 | − | 5.80016i | −0.134388 | − | 0.279060i | ||||
\(433\) | −10.1217 | − | 2.31020i | −0.486416 | − | 0.111021i | −0.0277224 | − | 0.999616i | \(-0.508825\pi\) |
−0.458694 | + | 0.888594i | \(0.651683\pi\) | |||||||
\(434\) | −13.9443 | −0.669346 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 23.2705 | 1.11446 | ||||||||
\(437\) | 5.84957 | + | 1.33513i | 0.279823 | + | 0.0638677i | ||||
\(438\) | 2.27184 | + | 4.71753i | 0.108553 | + | 0.225413i | ||||
\(439\) | −18.8701 | − | 9.08738i | −0.900622 | − | 0.433717i | −0.0745088 | − | 0.997220i | \(-0.523739\pi\) |
−0.826114 | + | 0.563503i | \(0.809453\pi\) | |||||||
\(440\) | 2.65019 | − | 11.6112i | 0.126343 | − | 0.553543i | ||||
\(441\) | 1.16513 | + | 5.10479i | 0.0554826 | + | 0.243085i | ||||
\(442\) | −0.576008 | + | 0.277391i | −0.0273979 | + | 0.0131941i | ||||
\(443\) | −1.49317 | − | 1.19076i | −0.0709424 | − | 0.0565747i | 0.587377 | − | 0.809314i | \(-0.300161\pi\) |
−0.658319 | + | 0.752739i | \(0.728732\pi\) | |||||||
\(444\) | −2.93552 | + | 3.68102i | −0.139313 | + | 0.174694i | ||||
\(445\) | 7.87321 | − | 16.3489i | 0.373226 | − | 0.775012i | ||||
\(446\) | 1.29196 | − | 1.03030i | 0.0611760 | − | 0.0487862i | ||||
\(447\) | − | 5.94427i | − | 0.281154i | ||||||
\(448\) | −0.329118 | − | 0.412701i | −0.0155494 | − | 0.0194983i | ||||
\(449\) | 25.4696 | − | 5.81327i | 1.20199 | − | 0.274345i | 0.425781 | − | 0.904826i | \(-0.359999\pi\) |
0.776205 | + | 0.630481i | \(0.217142\pi\) | |||||||
\(450\) | −15.5445 | + | 3.54793i | −0.732775 | + | 0.167251i | ||||
\(451\) | −3.32086 | − | 4.16422i | −0.156373 | − | 0.196085i | ||||
\(452\) | 12.8541i | 0.604606i | ||||||||
\(453\) | 1.29196 | − | 1.03030i | 0.0607015 | − | 0.0484078i | ||||
\(454\) | 5.60137 | − | 11.6314i | 0.262885 | − | 0.545887i | ||||
\(455\) | 1.26845 | − | 1.59059i | 0.0594660 | − | 0.0745680i | ||||
\(456\) | 5.24469 | + | 4.18250i | 0.245605 | + | 0.195863i | ||||
\(457\) | 16.8555 | − | 8.11719i | 0.788467 | − | 0.379706i | 0.00409151 | − | 0.999992i | \(-0.498698\pi\) |
0.784376 | + | 0.620286i | \(0.212983\pi\) | |||||||
\(458\) | −0.315180 | − | 1.38090i | −0.0147274 | − | 0.0645250i | ||||
\(459\) | 3.38561 | − | 14.8333i | 0.158027 | − | 0.692360i | ||||
\(460\) | −6.94485 | − | 3.34446i | −0.323805 | − | 0.155936i | ||||
\(461\) | 16.9122 | + | 35.1186i | 0.787681 | + | 1.63564i | 0.771886 | + | 0.635761i | \(0.219314\pi\) |
0.0157954 | + | 0.999875i | \(0.494972\pi\) | |||||||
\(462\) | 1.15075 | + | 0.262650i | 0.0535376 | + | 0.0122196i | ||||
\(463\) | −10.7082 | −0.497652 | −0.248826 | − | 0.968548i | \(-0.580045\pi\) | ||||
−0.248826 | + | 0.968548i | \(0.580045\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 24.0344 | 1.11457 | ||||||||
\(466\) | 9.18032 | + | 2.09535i | 0.425270 | + | 0.0970651i | ||||
\(467\) | −7.78573 | − | 16.1672i | −0.360281 | − | 0.748130i | 0.639506 | − | 0.768786i | \(-0.279139\pi\) |
−0.999787 | + | 0.0206558i | \(0.993425\pi\) | |||||||
\(468\) | −0.900969 | − | 0.433884i | −0.0416473 | − | 0.0200563i | ||||
\(469\) | 0.760222 | − | 3.33075i | 0.0351038 | − | 0.153800i | ||||
\(470\) | −3.71026 | − | 16.2557i | −0.171142 | − | 0.749820i | ||||
\(471\) | 8.10872 | − | 3.90495i | 0.373630 | − | 0.179931i | ||||
\(472\) | −10.6470 | − | 8.49071i | −0.490068 | − | 0.390816i | ||||
\(473\) | −6.23490 | + | 7.81831i | −0.286681 | + | 0.359486i | ||||
\(474\) | 1.00932 | − | 2.09587i | 0.0463595 | − | 0.0962664i | ||||
\(475\) | −37.3972 | + | 29.8233i | −1.71590 | + | 1.36839i | ||||
\(476\) | − | 15.8541i | − | 0.726672i | ||||||
\(477\) | −3.26463 | − | 4.09372i | −0.149477 | − | 0.187439i | ||||
\(478\) | 16.7160 | − | 3.81532i | 0.764573 | − | 0.174509i | ||||
\(479\) | −10.9000 | + | 2.48786i | −0.498035 | + | 0.113673i | −0.464157 | − | 0.885753i | \(-0.653643\pi\) |
−0.0338776 | + | 0.999426i | \(0.510786\pi\) | |||||||
\(480\) | −8.34352 | − | 10.4624i | −0.380828 | − | 0.477543i | ||||
\(481\) | 1.11146i | 0.0506780i | ||||||||
\(482\) | 2.24807 | − | 1.79278i | 0.102397 | − | 0.0816587i | ||||
\(483\) | 0.741162 | − | 1.53904i | 0.0337240 | − | 0.0700287i | ||||
\(484\) | 9.17042 | − | 11.4993i | 0.416837 | − | 0.522697i | ||||
\(485\) | −10.7341 | − | 8.56020i | −0.487413 | − | 0.388699i | ||||
\(486\) | −7.76458 | + | 3.73922i | −0.352209 | + | 0.169615i | ||||
\(487\) | −9.47100 | − | 41.4952i | −0.429172 | − | 1.88033i | −0.472613 | − | 0.881270i | \(-0.656689\pi\) |
0.0434408 | − | 0.999056i | \(-0.486168\pi\) | |||||||
\(488\) | −0.307516 | + | 1.34732i | −0.0139206 | + | 0.0609902i | ||||
\(489\) | −3.36015 | − | 1.61817i | −0.151951 | − | 0.0731760i | ||||
\(490\) | 2.06699 | + | 4.29215i | 0.0933772 | + | 0.193900i | ||||
\(491\) | 14.7454 | + | 3.36554i | 0.665451 | + | 0.151885i | 0.541886 | − | 0.840452i | \(-0.317710\pi\) |
0.123564 | + | 0.992337i | \(0.460567\pi\) | |||||||
\(492\) | −3.85410 | −0.173756 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0.708204 | 0.0318636 | ||||||||
\(495\) | 13.5947 | + | 3.10289i | 0.611035 | + | 0.139465i | ||||
\(496\) | −8.11719 | − | 16.8555i | −0.364472 | − | 0.756835i | ||||
\(497\) | −21.0975 | − | 10.1600i | −0.946350 | − | 0.455738i | ||||
\(498\) | 0.845218 | − | 3.70314i | 0.0378751 | − | 0.165942i | ||||
\(499\) | 5.49336 | + | 24.0680i | 0.245916 | + | 1.07743i | 0.935529 | + | 0.353251i | \(0.114924\pi\) |
−0.689612 | + | 0.724179i | \(0.742219\pi\) | |||||||
\(500\) | 27.2728 | − | 13.1339i | 1.21968 | − | 0.587365i | ||||
\(501\) | −5.08705 | − | 4.05678i | −0.227273 | − | 0.181244i | ||||
\(502\) | 7.57284 | − | 9.49605i | 0.337993 | − | 0.423829i | ||||
\(503\) | 6.19174 | − | 12.8573i | 0.276076 | − | 0.573278i | −0.716118 | − | 0.697979i | \(-0.754083\pi\) |
0.992194 | + | 0.124701i | \(0.0397972\pi\) | |||||||
\(504\) | −10.2343 | + | 8.16159i | −0.455872 | + | 0.363546i | ||||
\(505\) | − | 2.38197i | − | 0.105996i | ||||||
\(506\) | −0.658236 | − | 0.825401i | −0.0292621 | − | 0.0366936i | ||||
\(507\) | −7.79942 | + | 1.78017i | −0.346385 | + | 0.0790600i | ||||
\(508\) | −25.1516 | + | 5.74068i | −1.11592 | + | 0.254701i | ||||
\(509\) | 19.6788 | + | 24.6764i | 0.872246 | + | 1.09376i | 0.994855 | + | 0.101307i | \(0.0323025\pi\) |
−0.122609 | + | 0.992455i | \(0.539126\pi\) | |||||||
\(510\) | − | 6.45085i | − | 0.285648i | ||||||
\(511\) | −23.9651 | + | 19.1115i | −1.06015 | + | 0.845443i | ||||
\(512\) | −8.11719 | + | 16.8555i | −0.358732 | + | 0.744915i | ||||
\(513\) | −10.5084 | + | 13.1771i | −0.463955 | + | 0.581782i | ||||
\(514\) | 11.2007 | + | 8.93226i | 0.494042 | + | 0.393985i | ||||
\(515\) | 31.8780 | − | 15.3517i | 1.40471 | − | 0.676475i | ||||
\(516\) | 1.61018 | + | 7.05464i | 0.0708841 | + | 0.310563i | ||||
\(517\) | −2.15261 | + | 9.43122i | −0.0946719 | + | 0.414785i | ||||
\(518\) | 5.86222 | + | 2.82310i | 0.257571 | + | 0.124040i | ||||
\(519\) | 1.09680 | + | 2.27753i | 0.0481441 | + | 0.0999723i | ||||
\(520\) | −1.98343 | − | 0.452706i | −0.0869793 | − | 0.0198525i | ||||
\(521\) | −4.09017 | −0.179194 | −0.0895968 | − | 0.995978i | \(-0.528558\pi\) | ||||
−0.0895968 | + | 0.995978i | \(0.528558\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.3820 | −0.891241 | −0.445621 | − | 0.895222i | \(-0.647017\pi\) | ||||
−0.445621 | + | 0.895222i | \(0.647017\pi\) | |||||||
\(524\) | −22.5992 | − | 5.15811i | −0.987249 | − | 0.225333i | ||||
\(525\) | 5.90864 | + | 12.2694i | 0.257874 | + | 0.535482i | ||||
\(526\) | −9.30362 | − | 4.48039i | −0.405657 | − | 0.195354i | ||||
\(527\) | 9.83871 | − | 43.1062i | 0.428581 | − | 1.87774i | ||||
\(528\) | 0.352382 | + | 1.54389i | 0.0153355 | + | 0.0671891i | ||||
\(529\) | 19.3457 | − | 9.31641i | 0.841119 | − | 0.405061i | ||||
\(530\) | −3.72459 | − | 2.97026i | −0.161786 | − | 0.129020i | ||||
\(531\) | 9.94109 | − | 12.4657i | 0.431407 | − | 0.540967i | ||||
\(532\) | −7.62000 | + | 15.8231i | −0.330369 | + | 0.686018i | ||||
\(533\) | −0.711334 | + | 0.567270i | −0.0308113 | + | 0.0245712i | ||||
\(534\) | − | 1.79837i | − | 0.0778232i | ||||||
\(535\) | −16.2537 | − | 20.3815i | −0.702708 | − | 0.881168i | ||||
\(536\) | −3.33075 | + | 0.760222i | −0.143867 | + | 0.0328366i | ||||
\(537\) | 9.64062 | − | 2.20041i | 0.416023 | − | 0.0949546i | ||||
\(538\) | −2.31203 | − | 2.89919i | −0.0996786 | − | 0.124993i | ||||
\(539\) | − | 2.76393i | − | 0.119051i | ||||||
\(540\) | 16.9286 | − | 13.5001i | 0.728490 | − | 0.580952i | ||||
\(541\) | 6.33329 | − | 13.1512i | 0.272289 | − | 0.565415i | −0.719321 | − | 0.694678i | \(-0.755547\pi\) |
0.991610 | + | 0.129263i | \(0.0412612\pi\) | |||||||
\(542\) | 3.92287 | − | 4.91912i | 0.168502 | − | 0.211294i | ||||
\(543\) | 2.87226 | + | 2.29055i | 0.123261 | + | 0.0982970i | ||||
\(544\) | −22.1801 | + | 10.6814i | −0.950963 | + | 0.457960i | ||||
\(545\) | 12.3342 | + | 54.0398i | 0.528341 | + | 2.31481i | ||||
\(546\) | 0.0448660 | − | 0.196571i | 0.00192009 | − | 0.00841246i | ||||
\(547\) | −6.65092 | − | 3.20292i | −0.284373 | − | 0.136947i | 0.286260 | − | 0.958152i | \(-0.407588\pi\) |
−0.570633 | + | 0.821205i | \(0.693302\pi\) | |||||||
\(548\) | 5.01670 | + | 10.4173i | 0.214303 | + | 0.445004i | ||||
\(549\) | −1.57747 | − | 0.360046i | −0.0673246 | − | 0.0153664i | ||||
\(550\) | 8.41641 | 0.358877 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −1.70820 | −0.0727060 | ||||||||
\(553\) | 13.2766 | + | 3.03030i | 0.564579 | + | 0.128861i | ||||
\(554\) | −5.73368 | − | 11.9061i | −0.243601 | − | 0.505842i | ||||
\(555\) | −10.1042 | − | 4.86591i | −0.428898 | − | 0.206546i | ||||
\(556\) | −0.465107 | + | 2.03777i | −0.0197249 | + | 0.0864205i | ||||
\(557\) | −1.22533 | − | 5.36852i | −0.0519188 | − | 0.227471i | 0.942312 | − | 0.334737i | \(-0.108648\pi\) |
−0.994230 | + | 0.107266i | \(0.965790\pi\) | |||||||
\(558\) | −14.7094 | + | 7.08369i | −0.622700 | + | 0.299876i | ||||
\(559\) | 1.33553 | + | 1.06505i | 0.0564868 | + | 0.0450467i | ||||
\(560\) | 9.96257 | − | 12.4927i | 0.420995 | − | 0.527911i | ||||
\(561\) | −1.62387 | + | 3.37201i | −0.0685600 | + | 0.142366i | ||||
\(562\) | 11.1738 | − | 8.91079i | 0.471337 | − | 0.375879i | ||||
\(563\) | 28.3951i | 1.19671i | 0.801230 | + | 0.598356i | \(0.204179\pi\) | ||||
−0.801230 | + | 0.598356i | \(0.795821\pi\) | |||||||
\(564\) | 4.36443 | + | 5.47282i | 0.183776 | + | 0.230447i | ||||
\(565\) | −29.8504 | + | 6.81315i | −1.25581 | + | 0.286632i | ||||
\(566\) | −3.15493 | + | 0.720093i | −0.132612 | + | 0.0302678i | ||||
\(567\) | −7.95818 | − | 9.97924i | −0.334212 | − | 0.419089i | ||||
\(568\) | 23.4164i | 0.982531i | ||||||||
\(569\) | 1.52009 | − | 1.21223i | 0.0637256 | − | 0.0508195i | −0.591109 | − | 0.806592i | \(-0.701310\pi\) |
0.654835 | + | 0.755772i | \(0.272738\pi\) | |||||||
\(570\) | −3.10049 | + | 6.43823i | −0.129865 | + | 0.269668i | ||||
\(571\) | −21.5145 | + | 26.9783i | −0.900354 | + | 1.12901i | 0.0907443 | + | 0.995874i | \(0.471075\pi\) |
−0.991098 | + | 0.133134i | \(0.957496\pi\) | |||||||
\(572\) | 0.412701 | + | 0.329118i | 0.0172559 | + | 0.0137611i | ||||
\(573\) | −9.48528 | + | 4.56787i | −0.396253 | + | 0.190825i | ||||
\(574\) | 1.18520 | + | 5.19270i | 0.0494693 | + | 0.216739i | ||||
\(575\) | 2.71038 | − | 11.8750i | 0.113031 | − | 0.495220i | ||||
\(576\) | −0.556829 | − | 0.268155i | −0.0232012 | − | 0.0111731i | ||||
\(577\) | 1.19923 | + | 2.49022i | 0.0499244 | + | 0.103669i | 0.924439 | − | 0.381331i | \(-0.124534\pi\) |
−0.874514 | + | 0.485000i | \(0.838820\pi\) | |||||||
\(578\) | −1.32656 | − | 0.302780i | −0.0551778 | − | 0.0125940i | ||||
\(579\) | 7.70820 | 0.320342 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 22.2361 | 0.922508 | ||||||||
\(582\) | −1.32656 | − | 0.302780i | −0.0549879 | − | 0.0125506i | ||||
\(583\) | 1.19923 | + | 2.49022i | 0.0496668 | + | 0.103134i | ||||
\(584\) | 27.6169 | + | 13.2996i | 1.14280 | + | 0.550342i | ||||
\(585\) | 0.530037 | − | 2.32225i | 0.0219143 | − | 0.0960130i | ||||
\(586\) | 1.17280 | + | 5.13837i | 0.0484479 | + | 0.212264i | ||||
\(587\) | −42.0014 | + | 20.2268i | −1.73358 | + | 0.834850i | −0.748421 | + | 0.663224i | \(0.769188\pi\) |
−0.985162 | + | 0.171626i | \(0.945098\pi\) | |||||||
\(588\) | −1.56366 | − | 1.24698i | −0.0644844 | − | 0.0514246i | ||||
\(589\) | −30.5377 | + | 38.2931i | −1.25829 | + | 1.57784i | ||||
\(590\) | 6.29417 | − | 13.0700i | 0.259127 | − | 0.538082i | ||||
\(591\) | 3.04019 | − | 2.42447i | 0.125057 | − | 0.0997293i | ||||
\(592\) | 8.72949i | 0.358780i | ||||||||
\(593\) | 9.00176 | + | 11.2878i | 0.369658 | + | 0.463536i | 0.931518 | − | 0.363696i | \(-0.118485\pi\) |
−0.561860 | + | 0.827232i | \(0.689914\pi\) | |||||||
\(594\) | 2.89121 | − | 0.659899i | 0.118628 | − | 0.0270760i | ||||
\(595\) | 36.8171 | − | 8.40327i | 1.50935 | − | 0.344500i | ||||
\(596\) | −9.70294 | − | 12.1671i | −0.397448 | − | 0.498384i | ||||
\(597\) | − | 3.61803i | − | 0.148076i | ||||||
\(598\) | −0.140995 | + | 0.112440i | −0.00576573 | + | 0.00459802i | ||||
\(599\) | −5.67038 | + | 11.7747i | −0.231685 | + | 0.481099i | −0.984106 | − | 0.177584i | \(-0.943172\pi\) |
0.752420 | + | 0.658683i | \(0.228886\pi\) | |||||||
\(600\) | 8.49071 | − | 10.6470i | 0.346632 | − | 0.434662i | ||||
\(601\) | −22.7975 | − | 18.1804i | −0.929928 | − | 0.741593i | 0.0362840 | − | 0.999342i | \(-0.488448\pi\) |
−0.966212 | + | 0.257749i | \(0.917019\pi\) | |||||||
\(602\) | 9.00969 | − | 4.33884i | 0.367207 | − | 0.176838i | ||||
\(603\) | −0.890084 | − | 3.89971i | −0.0362470 | − | 0.158809i | ||||
\(604\) | 0.962679 | − | 4.21777i | 0.0391708 | − | 0.171619i | ||||
\(605\) | 31.5649 | + | 15.2009i | 1.28330 | + | 0.618003i | ||||
\(606\) | −0.102426 | − | 0.212690i | −0.00416077 | − | 0.00863994i | ||||
\(607\) | −10.7035 | − | 2.44299i | −0.434440 | − | 0.0991581i | −0.000292533 | − | 1.00000i | \(-0.500093\pi\) |
−0.434147 | + | 0.900842i | \(0.642950\pi\) | |||||||
\(608\) | 27.2705 | 1.10597 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.47214 | −0.0596050 | ||||||||
\(611\) | 1.61104 | + | 0.367710i | 0.0651759 | + | 0.0148760i | ||||
\(612\) | −8.05388 | − | 16.7241i | −0.325559 | − | 0.676030i | ||||
\(613\) | 24.8136 | + | 11.9496i | 1.00221 | + | 0.482640i | 0.861689 | − | 0.507438i | \(-0.169407\pi\) |
0.140523 | + | 0.990077i | \(0.455121\pi\) | |||||||
\(614\) | −2.63779 | + | 11.5569i | −0.106452 | + | 0.466398i | ||||
\(615\) | −2.04282 | − | 8.95017i | −0.0823744 | − | 0.360906i | ||||
\(616\) | 6.22554 | − | 2.99806i | 0.250834 | − | 0.120795i | ||||
\(617\) | −11.0866 | − | 8.84130i | −0.446331 | − | 0.355937i | 0.374385 | − | 0.927273i | \(-0.377854\pi\) |
−0.820716 | + | 0.571336i | \(0.806425\pi\) | |||||||
\(618\) | 2.18632 | − | 2.74155i | 0.0879465 | − | 0.110281i | ||||
\(619\) | 3.06137 | − | 6.35699i | 0.123047 | − | 0.255509i | −0.830342 | − | 0.557254i | \(-0.811855\pi\) |
0.953389 | + | 0.301745i | \(0.0975692\pi\) | |||||||
\(620\) | 49.1952 | − | 39.2318i | 1.97573 | − | 1.57559i | ||||
\(621\) | − | 4.29180i | − | 0.172224i | ||||||
\(622\) | −0.805422 | − | 1.00997i | −0.0322945 | − | 0.0404960i | ||||
\(623\) | 10.2639 | − | 2.34267i | 0.411215 | − | 0.0938571i | ||||
\(624\) | 0.263728 | − | 0.0601941i | 0.0105576 | − | 0.00240969i | ||||
\(625\) | 14.2360 | + | 17.8514i | 0.569441 | + | 0.714057i | ||||
\(626\) | 7.97871i | 0.318894i | ||||||||
\(627\) | 3.24139 | − | 2.58493i | 0.129449 | − | 0.103232i | ||||
\(628\) | 10.2233 | − | 21.2289i | 0.407954 | − | 0.847125i | ||||
\(629\) | −12.8633 | + | 16.1301i | −0.512895 | + | 0.643150i | ||||
\(630\) | −10.9021 | − | 8.69411i | −0.434349 | − | 0.346382i | ||||
\(631\) | −25.4206 | + | 12.2419i | −1.01198 | + | 0.487344i | −0.864987 | − | 0.501794i | \(-0.832674\pi\) |
−0.146992 | + | 0.989138i | \(0.546959\pi\) | |||||||
\(632\) | −3.03030 | − | 13.2766i | −0.120539 | − | 0.528115i | ||||
\(633\) | −1.60251 | + | 7.02107i | −0.0636942 | + | 0.279062i | ||||
\(634\) | −15.4287 | − | 7.43009i | −0.612754 | − | 0.295087i | ||||
\(635\) | −26.6625 | − | 55.3653i | −1.05807 | − | 2.19711i | ||||
\(636\) | 1.94986 | + | 0.445042i | 0.0773168 | + | 0.0176471i | ||||
\(637\) | −0.472136 | −0.0187067 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −27.4164 | −1.08458 | ||||||||
\(640\) | −42.7674 | − | 9.76138i | −1.69053 | − | 0.385853i | ||||
\(641\) | 4.79690 | + | 9.96087i | 0.189466 | + | 0.393431i | 0.973965 | − | 0.226700i | \(-0.0727938\pi\) |
−0.784498 | + | 0.620131i | \(0.787079\pi\) | |||||||
\(642\) | −2.32774 | − | 1.12098i | −0.0918684 | − | 0.0442415i | ||||
\(643\) | −8.32593 | + | 36.4783i | −0.328343 | + | 1.43856i | 0.493946 | + | 0.869493i | \(0.335554\pi\) |
−0.822288 | + | 0.569071i | \(0.807303\pi\) | |||||||
\(644\) | −0.995144 | − | 4.36001i | −0.0392142 | − | 0.171808i | ||||
\(645\) | −15.5292 | + | 7.47845i | −0.611460 | + | 0.294464i | ||||
\(646\) | 10.2779 | + | 8.19633i | 0.404378 | + | 0.322480i | ||||
\(647\) | 19.0338 | − | 23.8676i | 0.748296 | − | 0.938334i | −0.251266 | − | 0.967918i | \(-0.580847\pi\) |
0.999562 | + | 0.0295841i | \(0.00941830\pi\) | |||||||
\(648\) | −5.53806 | + | 11.4999i | −0.217556 | + | 0.451759i | ||||
\(649\) | −6.58021 | + | 5.24754i | −0.258296 | + | 0.205984i | ||||
\(650\) | − | 1.43769i | − | 0.0563910i | ||||||
\(651\) | 8.69411 | + | 10.9021i | 0.340749 | + | 0.427286i | ||||
\(652\) | −9.51913 | + | 2.17268i | −0.372798 | + | 0.0850887i | ||||
\(653\) | 46.8094 | − | 10.6839i | 1.83179 | − | 0.418095i | 0.839641 | − | 0.543141i | \(-0.182765\pi\) |
0.992151 | + | 0.125047i | \(0.0399081\pi\) | |||||||
\(654\) | 3.42509 | + | 4.29493i | 0.133932 | + | 0.167945i | ||||
\(655\) | − | 55.2148i | − | 2.15742i | ||||||
\(656\) | −5.58689 | + | 4.45539i | −0.218131 | + | 0.173954i | ||||
\(657\) | −15.5715 | + | 32.3345i | −0.607500 | + | 1.26149i | ||||
\(658\) | 6.03149 | − | 7.56325i | 0.235132 | − | 0.294846i | ||||
\(659\) | 5.51639 | + | 4.39917i | 0.214888 | + | 0.171368i | 0.725018 | − | 0.688730i | \(-0.241831\pi\) |
−0.510130 | + | 0.860097i | \(0.670403\pi\) | |||||||
\(660\) | −4.79877 | + | 2.31097i | −0.186792 | + | 0.0899543i | ||||
\(661\) | 8.33360 | + | 36.5119i | 0.324139 | + | 1.42015i | 0.830111 | + | 0.557598i | \(0.188277\pi\) |
−0.505972 | + | 0.862550i | \(0.668866\pi\) | |||||||
\(662\) | −2.91284 | + | 12.7620i | −0.113211 | + | 0.496008i | ||||
\(663\) | 0.576008 | + | 0.277391i | 0.0223703 | + | 0.0107730i | ||||
\(664\) | −9.64787 | − | 20.0340i | −0.374410 | − | 0.777470i | ||||
\(665\) | −40.7840 | − | 9.30868i | −1.58153 | − | 0.360975i | ||||
\(666\) | 7.61803 | 0.295193 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −17.0344 | −0.659082 | ||||||||
\(669\) | −1.61104 | − | 0.367710i | −0.0622866 | − | 0.0142165i | ||||
\(670\) | −1.57904 | − | 3.27891i | −0.0610037 | − | 0.126676i | ||||
\(671\) | 0.769519 | + | 0.370581i | 0.0297070 | + | 0.0143061i | ||||
\(672\) | 1.72764 | − | 7.56927i | 0.0666451 | − | 0.291991i | ||||
\(673\) | −1.44019 | − | 6.30987i | −0.0555151 | − | 0.243227i | 0.939556 | − | 0.342397i | \(-0.111239\pi\) |
−0.995071 | + | 0.0991692i | \(0.968382\pi\) | |||||||
\(674\) | 18.9706 | − | 9.13574i | 0.730718 | − | 0.351895i | ||||
\(675\) | 26.7502 | + | 21.3326i | 1.02962 | + | 0.821091i | ||||
\(676\) | −13.0585 | + | 16.3749i | −0.502252 | + | 0.629804i | ||||
\(677\) | −17.7167 | + | 36.7891i | −0.680908 | + | 1.41392i | 0.218073 | + | 0.975932i | \(0.430023\pi\) |
−0.898981 | + | 0.437987i | \(0.855691\pi\) | |||||||
\(678\) | −2.37242 | + | 1.89194i | −0.0911123 | + | 0.0726597i | ||||
\(679\) | − | 7.96556i | − | 0.305690i | ||||||
\(680\) | −23.5454 | − | 29.5250i | −0.902926 | − | 1.13223i | ||||
\(681\) | −12.5862 | + | 2.87271i | −0.482302 | + | 0.110082i | ||||
\(682\) | 8.40196 | − | 1.91769i | 0.321728 | − | 0.0734323i | ||||
\(683\) | 13.0023 | + | 16.3044i | 0.497520 | + | 0.623870i | 0.965668 | − | 0.259780i | \(-0.0836500\pi\) |
−0.468148 | + | 0.883650i | \(0.655079\pi\) | |||||||
\(684\) | 20.5623i | 0.786219i | ||||||||
\(685\) | −21.5324 | + | 17.1715i | −0.822712 | + | 0.656091i | ||||
\(686\) | −5.39651 | + | 11.2060i | −0.206040 | + | 0.427846i | ||||
\(687\) | −0.883116 | + | 1.10739i | −0.0336930 | + | 0.0422496i | ||||
\(688\) | 10.4894 | + | 8.36499i | 0.399903 | + | 0.318912i | ||||
\(689\) | 0.425380 | − | 0.204852i | 0.0162057 | − | 0.00780424i | ||||
\(690\) | −0.404912 | − | 1.77404i | −0.0154148 | − | 0.0675365i | ||||
\(691\) | −2.63305 | + | 11.5361i | −0.100166 | + | 0.438856i | 0.899831 | + | 0.436239i | \(0.143690\pi\) |
−0.999997 | + | 0.00261618i | \(0.999167\pi\) | |||||||
\(692\) | 5.96264 | + | 2.87146i | 0.226666 | + | 0.109156i | ||||
\(693\) | 3.51019 | + | 7.28899i | 0.133341 | + | 0.276886i | ||||
\(694\) | 19.3563 | + | 4.41795i | 0.734756 | + | 0.167703i | ||||
\(695\) | −4.97871 | −0.188853 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −16.8885 | −0.639699 | ||||||||
\(698\) | 2.72821 | + | 0.622697i | 0.103264 | + | 0.0235694i | ||||
\(699\) | −4.08563 | − | 8.48389i | −0.154533 | − | 0.320890i | ||||
\(700\) | 32.1218 | + | 15.4690i | 1.21409 | + | 0.584674i | ||||
\(701\) | −4.68534 | + | 20.5278i | −0.176963 | + | 0.775325i | 0.806059 | + | 0.591835i | \(0.201596\pi\) |
−0.983022 | + | 0.183490i | \(0.941261\pi\) | |||||||
\(702\) | −0.112724 | − | 0.493877i | −0.00425450 | − | 0.0186402i | ||||
\(703\) | 20.5908 | − | 9.91602i | 0.776598 | − | 0.373990i | ||||
\(704\) | 0.255063 | + | 0.203406i | 0.00961305 | + | 0.00766615i | ||||
\(705\) | −10.3959 | + | 13.0361i | −0.391533 | + | 0.490967i | ||||
\(706\) | −5.12836 | + | 10.6491i | −0.193008 | + | 0.400786i | ||||
\(707\) | 1.08046 | − | 0.861642i | 0.0406351 | − | 0.0324054i | ||||
\(708\) | 6.09017i | 0.228883i | ||||||||
\(709\) | 25.8789 | + | 32.4511i | 0.971904 | + | 1.21873i | 0.975784 | + | 0.218736i | \(0.0701934\pi\) |
−0.00388053 | + | 0.999992i | \(0.501235\pi\) | |||||||
\(710\) | −24.3189 | + | 5.55062i | −0.912671 | + | 0.208311i | ||||
\(711\) | 15.5445 | − | 3.54793i | 0.582965 | − | 0.133058i | ||||
\(712\) | −6.56402 | − | 8.23102i | −0.245997 | − | 0.308470i | ||||
\(713\) | − | 12.4721i | − | 0.467085i | ||||||
\(714\) | 2.92612 | − | 2.33350i | 0.109507 | − | 0.0873291i | ||||
\(715\) | −0.545546 | + | 1.13284i | −0.0204022 | + | 0.0423657i | ||||
\(716\) | 16.1412 | − | 20.2405i | 0.603227 | − | 0.756422i | ||||
\(717\) | −13.4052 | − | 10.6903i | −0.500626 | − | 0.399236i | ||||
\(718\) | −13.2325 | + | 6.37241i | −0.493831 | + | 0.237816i | ||||
\(719\) | −1.89289 | − | 8.29330i | −0.0705929 | − | 0.309288i | 0.927288 | − | 0.374348i | \(-0.122133\pi\) |
−0.997881 | + | 0.0650598i | \(0.979276\pi\) | |||||||
\(720\) | 4.16297 | − | 18.2392i | 0.155145 | − | 0.679733i | ||||
\(721\) | 18.4950 | + | 8.90671i | 0.688789 | + | 0.331703i | ||||
\(722\) | −1.22340 | − | 2.54043i | −0.0455304 | − | 0.0945449i | ||||
\(723\) | −2.80330 | − | 0.639834i | −0.104256 | − | 0.0237957i | ||||
\(724\) | 9.61803 | 0.357451 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 3.47214 | 0.128863 | ||||||||
\(727\) | 27.3523 | + | 6.24299i | 1.01444 | + | 0.231540i | 0.697255 | − | 0.716824i | \(-0.254405\pi\) |
0.317187 | + | 0.948363i | \(0.397262\pi\) | |||||||
\(728\) | −0.512130 | − | 1.06345i | −0.0189808 | − | 0.0394141i | ||||
\(729\) | −7.66416 | − | 3.69087i | −0.283858 | − | 0.136699i | ||||
\(730\) | −7.26586 | + | 31.8338i | −0.268922 | + | 1.17822i | ||||
\(731\) | 7.05574 | + | 30.9132i | 0.260966 | + | 1.14337i | ||||
\(732\) | 0.556829 | − | 0.268155i | 0.0205810 | − | 0.00991129i | ||||
\(733\) | 11.5865 | + | 9.23991i | 0.427956 | + | 0.341284i | 0.813662 | − | 0.581338i | \(-0.197471\pi\) |
−0.385706 | + | 0.922622i | \(0.626042\pi\) | |||||||
\(734\) | −10.5084 | + | 13.1771i | −0.387871 | + | 0.486374i | ||||
\(735\) | 2.06699 | − | 4.29215i | 0.0762422 | − | 0.158319i | ||||
\(736\) | −5.42925 | + | 4.32968i | −0.200125 | + | 0.159594i | ||||
\(737\) | 2.11146i | 0.0777765i | ||||||||
\(738\) | 3.88812 | + | 4.87555i | 0.143124 | + | 0.179472i | ||||
\(739\) | 48.8136 | − | 11.1414i | 1.79564 | − | 0.409842i | 0.811083 | − | 0.584931i | \(-0.198878\pi\) |
0.984553 | + | 0.175089i | \(0.0560213\pi\) | |||||||
\(740\) | −28.6245 | + | 6.53337i | −1.05226 | + | 0.240171i | ||||
\(741\) | −0.441558 | − | 0.553696i | −0.0162210 | − | 0.0203405i | ||||
\(742\) | − | 2.76393i | − | 0.101467i | ||||||
\(743\) | −27.5487 | + | 21.9693i | −1.01066 | + | 0.805977i | −0.981083 | − | 0.193586i | \(-0.937988\pi\) |
−0.0295793 | + | 0.999562i | \(0.509417\pi\) | |||||||
\(744\) | 6.05019 | − | 12.5634i | 0.221811 | − | 0.460595i | ||||
\(745\) | 23.1121 | − | 28.9816i | 0.846761 | − | 1.06180i | ||||
\(746\) | −9.96260 | − | 7.94491i | −0.364757 | − | 0.290884i | ||||
\(747\) | 23.4562 | − | 11.2959i | 0.858218 | − | 0.413296i | ||||
\(748\) | 2.18034 | + | 9.55271i | 0.0797212 | + | 0.349282i | ||||
\(749\) | 3.36554 | − | 14.7454i | 0.122974 | − | 0.538785i | ||||
\(750\) | 6.43823 | + | 3.10049i | 0.235091 | + | 0.113214i | ||||
\(751\) | 8.03894 | + | 16.6930i | 0.293345 | + | 0.609137i | 0.994601 | − | 0.103772i | \(-0.0330913\pi\) |
−0.701256 | + | 0.712910i | \(0.747377\pi\) | |||||||
\(752\) | 12.6533 | + | 2.88804i | 0.461419 | + | 0.105316i | ||||
\(753\) | −12.1459 | −0.442621 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 10.3050 | 0.375036 | ||||||||
\(756\) | 12.2473 | + | 2.79538i | 0.445432 | + | 0.101667i | ||||
\(757\) | −0.00923575 | − | 0.0191782i | −0.000335679 | − | 0.000697045i | 0.900801 | − | 0.434232i | \(-0.142980\pi\) |
−0.901137 | + | 0.433535i | \(0.857266\pi\) | |||||||
\(758\) | −13.5264 | − | 6.51396i | −0.491300 | − | 0.236598i | ||||
\(759\) | −0.234922 | + | 1.02926i | −0.00852711 | + | 0.0373597i | ||||
\(760\) | 9.30868 | + | 40.7840i | 0.337661 | + | 1.47939i | ||||
\(761\) | −22.7059 | + | 10.9346i | −0.823088 | + | 0.396378i | −0.797518 | − | 0.603295i | \(-0.793854\pi\) |
−0.0255694 | + | 0.999673i | \(0.508140\pi\) | |||||||
\(762\) | −4.76149 | − | 3.79716i | −0.172490 | − | 0.137557i | ||||
\(763\) | −20.0508 | + | 25.1430i | −0.725889 | + | 0.910236i | ||||
\(764\) | −11.9588 | + | 24.8328i | −0.432656 | + | 0.898418i | ||||
\(765\) | 34.5685 | − | 27.5675i | 1.24983 | − | 0.996704i | ||||
\(766\) | − | 17.8328i | − | 0.644326i | ||||||
\(767\) | 0.896388 | + | 1.12403i | 0.0323667 | + | 0.0405865i | ||||
\(768\) | −3.95404 | + | 0.902484i | −0.142679 | + | 0.0325656i | ||||
\(769\) | −18.8753 | + | 4.30816i | −0.680660 | + | 0.155356i | −0.548852 | − | 0.835919i | \(-0.684935\pi\) |
−0.131807 | + | 0.991275i | \(0.542078\pi\) | |||||||
\(770\) | 4.58931 |