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: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{14})\) |
Coefficient field: | 12.0.7877952219361.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3x^{11} + 13x^{9} - 18x^{8} - 14x^{7} + 57x^{6} - 28x^{5} - 72x^{4} + 104x^{3} - 96x + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 196.2 | ||
Root | \(-1.41140 + 0.0891373i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 841.196 |
Dual form | 841.2.e.h.236.2 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.51043 | − | 0.344746i | 1.06804 | − | 0.243773i | 0.347849 | − | 0.937551i | \(-0.386912\pi\) |
0.720189 | + | 0.693778i | \(0.244055\pi\) | |||||||
\(3\) | 1.27330 | − | 2.64404i | 0.735142 | − | 1.52654i | −0.111141 | − | 0.993805i | \(-0.535451\pi\) |
0.846283 | − | 0.532733i | \(-0.178835\pi\) | |||||||
\(4\) | 0.360619 | − | 0.173665i | 0.180310 | − | 0.0868325i | ||||
\(5\) | −0.101097 | − | 0.442937i | −0.0452122 | − | 0.198087i | 0.947278 | − | 0.320413i | \(-0.103822\pi\) |
−0.992490 | + | 0.122326i | \(0.960965\pi\) | |||||||
\(6\) | 1.01172 | − | 4.43261i | 0.413031 | − | 1.80961i | ||||
\(7\) | −3.07524 | − | 1.48096i | −1.16233 | − | 0.559750i | −0.249616 | − | 0.968345i | \(-0.580304\pi\) |
−0.912716 | + | 0.408595i | \(0.866019\pi\) | |||||||
\(8\) | −1.93773 | + | 1.54528i | −0.685089 | + | 0.546341i | ||||
\(9\) | −3.49918 | − | 4.38784i | −1.16639 | − | 1.46261i | ||||
\(10\) | −0.305402 | − | 0.634173i | −0.0965765 | − | 0.200543i | ||||
\(11\) | 1.14517 | + | 0.913243i | 0.345282 | + | 0.275353i | 0.780740 | − | 0.624856i | \(-0.214842\pi\) |
−0.435458 | + | 0.900209i | \(0.643414\pi\) | |||||||
\(12\) | − | 1.17462i | − | 0.339084i | ||||||
\(13\) | 1.92441 | − | 2.41314i | 0.533736 | − | 0.669283i | −0.439726 | − | 0.898132i | \(-0.644925\pi\) |
0.973462 | + | 0.228848i | \(0.0734960\pi\) | |||||||
\(14\) | −5.15550 | − | 1.17671i | −1.37787 | − | 0.314489i | ||||
\(15\) | −1.29987 | − | 0.296687i | −0.335625 | − | 0.0766043i | ||||
\(16\) | −2.89319 | + | 3.62794i | −0.723296 | + | 0.906985i | ||||
\(17\) | − | 2.82403i | − | 0.684927i | −0.939531 | − | 0.342463i | \(-0.888739\pi\) | ||
0.939531 | − | 0.342463i | \(-0.111261\pi\) | |||||||
\(18\) | −6.79798 | − | 5.42120i | −1.60230 | − | 1.27779i | ||||
\(19\) | −0.994542 | − | 2.06519i | −0.228164 | − | 0.473786i | 0.755186 | − | 0.655511i | \(-0.227547\pi\) |
−0.983350 | + | 0.181724i | \(0.941832\pi\) | |||||||
\(20\) | −0.113380 | − | 0.142174i | −0.0253526 | − | 0.0317912i | ||||
\(21\) | −7.83143 | + | 6.24536i | −1.70896 | + | 1.36285i | ||||
\(22\) | 2.04454 | + | 0.984599i | 0.435897 | + | 0.209917i | ||||
\(23\) | −0.118847 | + | 0.520702i | −0.0247813 | + | 0.108574i | −0.985806 | − | 0.167889i | \(-0.946305\pi\) |
0.961025 | + | 0.276463i | \(0.0891622\pi\) | |||||||
\(24\) | 1.61848 | + | 7.09104i | 0.330372 | + | 1.44745i | ||||
\(25\) | 4.31887 | − | 2.07986i | 0.863774 | − | 0.415972i | ||||
\(26\) | 2.07477 | − | 4.30831i | 0.406897 | − | 0.844930i | ||||
\(27\) | −7.47389 | + | 1.70587i | −1.43835 | + | 0.328294i | ||||
\(28\) | −1.36618 | −0.258184 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | −2.06565 | −0.377134 | ||||||||
\(31\) | −3.49661 | + | 0.798078i | −0.628009 | + | 0.143339i | −0.524668 | − | 0.851307i | \(-0.675811\pi\) |
−0.103341 | + | 0.994646i | \(0.532953\pi\) | |||||||
\(32\) | −0.968530 | + | 2.01117i | −0.171213 | + | 0.355528i | ||||
\(33\) | 3.87280 | − | 1.86504i | 0.674168 | − | 0.324662i | ||||
\(34\) | −0.973573 | − | 4.26550i | −0.166966 | − | 0.731527i | ||||
\(35\) | −0.345072 | + | 1.51186i | −0.0583278 | + | 0.255551i | ||||
\(36\) | −2.02389 | − | 0.974653i | −0.337315 | − | 0.162442i | ||||
\(37\) | 5.56792 | − | 4.44027i | 0.915360 | − | 0.729975i | −0.0478133 | − | 0.998856i | \(-0.515225\pi\) |
0.963173 | + | 0.268881i | \(0.0866538\pi\) | |||||||
\(38\) | −2.21415 | − | 2.77646i | −0.359183 | − | 0.450402i | ||||
\(39\) | −3.93007 | − | 8.16088i | −0.629315 | − | 1.30679i | ||||
\(40\) | 0.880363 | + | 0.702066i | 0.139198 | + | 0.111006i | ||||
\(41\) | 4.43991i | 0.693398i | 0.937977 | + | 0.346699i | \(0.112697\pi\) | ||||
−0.937977 | + | 0.346699i | \(0.887303\pi\) | |||||||
\(42\) | −9.67578 | + | 12.1330i | −1.49301 | + | 1.87217i | ||||
\(43\) | 4.02174 | + | 0.917936i | 0.613310 | + | 0.139984i | 0.517881 | − | 0.855452i | \(-0.326721\pi\) |
0.0954281 | + | 0.995436i | \(0.469578\pi\) | |||||||
\(44\) | 0.571569 | + | 0.130457i | 0.0861673 | + | 0.0196671i | ||||
\(45\) | −1.58978 | + | 1.99352i | −0.236990 | + | 0.297176i | ||||
\(46\) | 0.827457i | 0.122002i | ||||||||
\(47\) | −0.140288 | − | 0.111876i | −0.0204632 | − | 0.0163188i | 0.613205 | − | 0.789924i | \(-0.289880\pi\) |
−0.633668 | + | 0.773605i | \(0.718451\pi\) | |||||||
\(48\) | 5.90852 | + | 12.2692i | 0.852821 | + | 1.77090i | ||||
\(49\) | 2.89944 | + | 3.63579i | 0.414206 | + | 0.519398i | ||||
\(50\) | 5.80634 | − | 4.63040i | 0.821141 | − | 0.654838i | ||||
\(51\) | −7.46684 | − | 3.59584i | −1.04557 | − | 0.503519i | ||||
\(52\) | 0.274902 | − | 1.20443i | 0.0381221 | − | 0.167024i | ||||
\(53\) | −0.686606 | − | 3.00822i | −0.0943126 | − | 0.413211i | 0.905628 | − | 0.424072i | \(-0.139400\pi\) |
−0.999941 | + | 0.0108615i | \(0.996543\pi\) | |||||||
\(54\) | −10.7007 | + | 5.15320i | −1.45618 | + | 0.701261i | ||||
\(55\) | 0.288735 | − | 0.599565i | 0.0389330 | − | 0.0808453i | ||||
\(56\) | 8.24747 | − | 1.88243i | 1.10212 | − | 0.251551i | ||||
\(57\) | −6.72679 | −0.890986 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 13.2495 | 1.72494 | 0.862468 | − | 0.506112i | \(-0.168918\pi\) | ||||
0.862468 | + | 0.506112i | \(0.168918\pi\) | |||||||
\(60\) | −0.520283 | + | 0.118751i | −0.0671682 | + | 0.0153307i | ||||
\(61\) | −0.819181 | + | 1.70105i | −0.104885 | + | 0.217797i | −0.946806 | − | 0.321804i | \(-0.895711\pi\) |
0.841921 | + | 0.539601i | \(0.181425\pi\) | |||||||
\(62\) | −5.00626 | + | 2.41089i | −0.635795 | + | 0.306183i | ||||
\(63\) | 4.26263 | + | 18.6758i | 0.537041 | + | 2.35293i | ||||
\(64\) | 1.29558 | − | 5.67629i | 0.161947 | − | 0.709537i | ||||
\(65\) | −1.26342 | − | 0.608431i | −0.156708 | − | 0.0754666i | ||||
\(66\) | 5.20664 | − | 4.15216i | 0.640893 | − | 0.511095i | ||||
\(67\) | 7.58858 | + | 9.51578i | 0.927093 | + | 1.16254i | 0.986411 | + | 0.164299i | \(0.0525360\pi\) |
−0.0593178 | + | 0.998239i | \(0.518893\pi\) | |||||||
\(68\) | −0.490435 | − | 1.01840i | −0.0594739 | − | 0.123499i | ||||
\(69\) | 1.22543 | + | 0.977247i | 0.147524 | + | 0.117647i | ||||
\(70\) | 2.40252i | 0.287156i | ||||||||
\(71\) | −2.81470 | + | 3.52952i | −0.334043 | + | 0.418877i | −0.920278 | − | 0.391264i | \(-0.872038\pi\) |
0.586235 | + | 0.810141i | \(0.300609\pi\) | |||||||
\(72\) | 13.5609 | + | 3.09519i | 1.59817 | + | 0.364772i | ||||
\(73\) | 8.06850 | + | 1.84158i | 0.944347 | + | 0.215541i | 0.666855 | − | 0.745187i | \(-0.267640\pi\) |
0.277491 | + | 0.960728i | \(0.410497\pi\) | |||||||
\(74\) | 6.87920 | − | 8.62624i | 0.799691 | − | 1.00278i | ||||
\(75\) | − | 14.0676i | − | 1.62438i | ||||||
\(76\) | −0.717302 | − | 0.572029i | −0.0822802 | − | 0.0656162i | ||||
\(77\) | −2.16920 | − | 4.50439i | −0.247203 | − | 0.513323i | ||||
\(78\) | −8.74954 | − | 10.9716i | −0.990690 | − | 1.24229i | ||||
\(79\) | 10.8173 | − | 8.62652i | 1.21704 | − | 0.970559i | 0.217059 | − | 0.976159i | \(-0.430354\pi\) |
0.999984 | + | 0.00559920i | \(0.00178229\pi\) | |||||||
\(80\) | 1.89944 | + | 0.914723i | 0.212364 | + | 0.102269i | ||||
\(81\) | −1.25961 | + | 5.51873i | −0.139957 | + | 0.613192i | ||||
\(82\) | 1.53064 | + | 6.70619i | 0.169031 | + | 0.740574i | ||||
\(83\) | 2.21027 | − | 1.06441i | 0.242609 | − | 0.116834i | −0.308629 | − | 0.951183i | \(-0.599870\pi\) |
0.551238 | + | 0.834348i | \(0.314156\pi\) | |||||||
\(84\) | −1.73956 | + | 3.61224i | −0.189802 | + | 0.394128i | ||||
\(85\) | −1.25087 | + | 0.285502i | −0.135675 | + | 0.0309670i | ||||
\(86\) | 6.39102 | 0.689162 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.63025 | −0.386986 | ||||||||
\(89\) | −13.1535 | + | 3.00221i | −1.39427 | + | 0.318234i | −0.852691 | − | 0.522415i | \(-0.825031\pi\) |
−0.541581 | + | 0.840649i | \(0.682174\pi\) | |||||||
\(90\) | −1.71399 | + | 3.55914i | −0.180671 | + | 0.375167i | ||||
\(91\) | −9.49178 | + | 4.57100i | −0.995009 | + | 0.479171i | ||||
\(92\) | 0.0475693 | + | 0.208415i | 0.00495944 | + | 0.0217287i | ||||
\(93\) | −2.34209 | + | 10.2614i | −0.242864 | + | 1.06405i | ||||
\(94\) | −0.250465 | − | 0.120618i | −0.0258335 | − | 0.0124408i | ||||
\(95\) | −0.814202 | + | 0.649305i | −0.0835354 | + | 0.0666172i | ||||
\(96\) | 4.08439 | + | 5.12166i | 0.416861 | + | 0.522728i | ||||
\(97\) | −2.04265 | − | 4.24161i | −0.207400 | − | 0.430670i | 0.771158 | − | 0.636644i | \(-0.219678\pi\) |
−0.978557 | + | 0.205974i | \(0.933964\pi\) | |||||||
\(98\) | 5.63284 | + | 4.49204i | 0.569002 | + | 0.453764i | ||||
\(99\) | − | 8.22043i | − | 0.826184i | ||||||
\(100\) | 1.19627 | − | 1.50007i | 0.119627 | − | 0.150007i | ||||
\(101\) | −13.6714 | − | 3.12041i | −1.36036 | − | 0.310493i | −0.520760 | − | 0.853703i | \(-0.674351\pi\) |
−0.839597 | + | 0.543210i | \(0.817209\pi\) | |||||||
\(102\) | −12.5178 | − | 2.85711i | −1.23945 | − | 0.282896i | ||||
\(103\) | −5.36646 | + | 6.72932i | −0.528773 | + | 0.663060i | −0.972446 | − | 0.233129i | \(-0.925104\pi\) |
0.443673 | + | 0.896189i | \(0.353675\pi\) | |||||||
\(104\) | 7.64976i | 0.750120i | ||||||||
\(105\) | 3.55804 | + | 2.83744i | 0.347229 | + | 0.276906i | ||||
\(106\) | −2.07415 | − | 4.30701i | −0.201459 | − | 0.418334i | ||||
\(107\) | 3.20244 | + | 4.01573i | 0.309591 | + | 0.388215i | 0.912148 | − | 0.409861i | \(-0.134423\pi\) |
−0.602557 | + | 0.798076i | \(0.705851\pi\) | |||||||
\(108\) | −2.39898 | + | 1.91312i | −0.230842 | + | 0.184090i | ||||
\(109\) | 5.32120 | + | 2.56256i | 0.509679 | + | 0.245448i | 0.671005 | − | 0.741453i | \(-0.265863\pi\) |
−0.161326 | + | 0.986901i | \(0.551577\pi\) | |||||||
\(110\) | 0.229417 | − | 1.00514i | 0.0218741 | − | 0.0958366i | ||||
\(111\) | −4.65060 | − | 20.3756i | −0.441415 | − | 1.93397i | ||||
\(112\) | 14.2701 | − | 6.87210i | 1.34839 | − | 0.649353i | ||||
\(113\) | 5.02988 | − | 10.4447i | 0.473172 | − | 0.982551i | −0.518658 | − | 0.854982i | \(-0.673568\pi\) |
0.991830 | − | 0.127569i | \(-0.0407175\pi\) | |||||||
\(114\) | −10.1604 | + | 2.31904i | −0.951606 | + | 0.217198i | ||||
\(115\) | 0.242653 | 0.0226275 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −17.3223 | −1.60145 | ||||||||
\(118\) | 20.0125 | − | 4.56771i | 1.84230 | − | 0.420492i | ||||
\(119\) | −4.18226 | + | 8.68456i | −0.383388 | + | 0.796112i | ||||
\(120\) | 2.97726 | − | 1.43377i | 0.271785 | − | 0.130885i | ||||
\(121\) | −1.97033 | − | 8.63257i | −0.179121 | − | 0.784779i | ||||
\(122\) | −0.650888 | + | 2.85173i | −0.0589286 | + | 0.258183i | ||||
\(123\) | 11.7393 | + | 5.65335i | 1.05850 | + | 0.509746i | ||||
\(124\) | −1.12235 | + | 0.895041i | −0.100790 | + | 0.0803771i | ||||
\(125\) | −2.77422 | − | 3.47876i | −0.248134 | − | 0.311150i | ||||
\(126\) | 12.8768 | + | 26.7390i | 1.14716 | + | 2.38210i | ||||
\(127\) | −12.8736 | − | 10.2664i | −1.14235 | − | 0.910993i | −0.145426 | − | 0.989369i | \(-0.546455\pi\) |
−0.996924 | + | 0.0783759i | \(0.975027\pi\) | |||||||
\(128\) | − | 13.4848i | − | 1.19190i | ||||||
\(129\) | 7.54795 | − | 9.46484i | 0.664560 | − | 0.833332i | ||||
\(130\) | −2.11806 | − | 0.483435i | −0.185767 | − | 0.0424000i | ||||
\(131\) | −10.6254 | − | 2.42517i | −0.928343 | − | 0.211888i | −0.268490 | − | 0.963283i | \(-0.586525\pi\) |
−0.659853 | + | 0.751394i | \(0.729382\pi\) | |||||||
\(132\) | 1.07271 | − | 1.34514i | 0.0933678 | − | 0.117079i | ||||
\(133\) | 7.82382i | 0.678412i | ||||||||
\(134\) | 14.7426 | + | 11.7568i | 1.27356 | + | 1.01563i | ||||
\(135\) | 1.51118 | + | 3.13800i | 0.130062 | + | 0.270076i | ||||
\(136\) | 4.36392 | + | 5.47219i | 0.374203 | + | 0.469236i | ||||
\(137\) | −8.94723 | + | 7.13518i | −0.764413 | + | 0.609599i | −0.926115 | − | 0.377240i | \(-0.876873\pi\) |
0.161702 | + | 0.986840i | \(0.448302\pi\) | |||||||
\(138\) | 2.18783 | + | 1.05360i | 0.186241 | + | 0.0896887i | ||||
\(139\) | −4.25015 | + | 18.6211i | −0.360493 | + | 1.57942i | 0.391454 | + | 0.920198i | \(0.371972\pi\) |
−0.751946 | + | 0.659224i | \(0.770885\pi\) | |||||||
\(140\) | 0.138118 | + | 0.605132i | 0.0116731 | + | 0.0511430i | ||||
\(141\) | −0.474435 | + | 0.228476i | −0.0399547 | + | 0.0192411i | ||||
\(142\) | −3.03462 | + | 6.30145i | −0.254660 | + | 0.528806i | ||||
\(143\) | 4.40756 | − | 1.00600i | 0.368578 | − | 0.0841256i | ||||
\(144\) | 26.0426 | 2.17022 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 12.8218 | 1.06114 | ||||||||
\(147\) | 13.3050 | − | 3.03679i | 1.09738 | − | 0.250470i | ||||
\(148\) | 1.23678 | − | 2.56820i | 0.101663 | − | 0.211105i | ||||
\(149\) | 21.5965 | − | 10.4003i | 1.76925 | − | 0.852028i | 0.802363 | − | 0.596837i | \(-0.203576\pi\) |
0.966891 | − | 0.255191i | \(-0.0821383\pi\) | |||||||
\(150\) | −4.84974 | − | 21.2481i | −0.395980 | − | 1.73490i | ||||
\(151\) | 1.80281 | − | 7.89863i | 0.146711 | − | 0.642782i | −0.847075 | − | 0.531473i | \(-0.821639\pi\) |
0.993786 | − | 0.111309i | \(-0.0355042\pi\) | |||||||
\(152\) | 5.11845 | + | 2.46492i | 0.415161 | + | 0.199931i | ||||
\(153\) | −12.3914 | + | 9.88179i | −1.00178 | + | 0.798895i | ||||
\(154\) | −4.82930 | − | 6.05576i | −0.389156 | − | 0.487987i | ||||
\(155\) | 0.706996 | + | 1.46809i | 0.0567873 | + | 0.117920i | ||||
\(156\) | −2.83452 | − | 2.26045i | −0.226943 | − | 0.180981i | ||||
\(157\) | 3.66196i | 0.292256i | 0.989266 | + | 0.146128i | \(0.0466811\pi\) | ||||
−0.989266 | + | 0.146128i | \(0.953319\pi\) | |||||||
\(158\) | 13.3649 | − | 16.7590i | 1.06325 | − | 1.33328i | ||||
\(159\) | −8.82811 | − | 2.01496i | −0.700115 | − | 0.159797i | ||||
\(160\) | 0.988738 | + | 0.225673i | 0.0781666 | + | 0.0178410i | ||||
\(161\) | 1.13662 | − | 1.42528i | 0.0895782 | − | 0.112328i | ||||
\(162\) | 8.76992i | 0.689030i | ||||||||
\(163\) | 13.9010 | + | 11.0856i | 1.08881 | + | 0.868294i | 0.991903 | − | 0.127000i | \(-0.0405347\pi\) |
0.0969038 | + | 0.995294i | \(0.469106\pi\) | |||||||
\(164\) | 0.771058 | + | 1.60112i | 0.0602095 | + | 0.125026i | ||||
\(165\) | −1.21763 | − | 1.52686i | −0.0947921 | − | 0.118866i | ||||
\(166\) | 2.97151 | − | 2.36970i | 0.230634 | − | 0.183925i | ||||
\(167\) | 9.70351 | + | 4.67296i | 0.750880 | + | 0.361605i | 0.769858 | − | 0.638215i | \(-0.220327\pi\) |
−0.0189782 | + | 0.999820i | \(0.506041\pi\) | |||||||
\(168\) | 5.52431 | − | 24.2036i | 0.426210 | − | 1.86735i | ||||
\(169\) | 0.772909 | + | 3.38634i | 0.0594545 | + | 0.260487i | ||||
\(170\) | −1.79092 | + | 0.862463i | −0.137357 | + | 0.0661479i | ||||
\(171\) | −5.58162 | + | 11.5904i | −0.426837 | + | 0.886337i | ||||
\(172\) | 1.60973 | − | 0.367410i | 0.122741 | − | 0.0280148i | ||||
\(173\) | −5.10262 | −0.387945 | −0.193972 | − | 0.981007i | \(-0.562137\pi\) | ||||
−0.193972 | + | 0.981007i | \(0.562137\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −16.3618 | −1.23683 | ||||||||
\(176\) | −6.62638 | + | 1.51243i | −0.499482 | + | 0.114004i | ||||
\(177\) | 16.8706 | − | 35.0322i | 1.26807 | − | 2.63318i | ||||
\(178\) | −18.8325 | + | 9.06927i | −1.41156 | + | 0.679771i | ||||
\(179\) | 1.91150 | + | 8.37482i | 0.142872 | + | 0.625964i | 0.994760 | + | 0.102239i | \(0.0326007\pi\) |
−0.851888 | + | 0.523724i | \(0.824542\pi\) | |||||||
\(180\) | −0.227100 | + | 0.994990i | −0.0169270 | + | 0.0741622i | ||||
\(181\) | −8.39001 | − | 4.04041i | −0.623624 | − | 0.300322i | 0.0952589 | − | 0.995453i | \(-0.469632\pi\) |
−0.718883 | + | 0.695131i | \(0.755346\pi\) | |||||||
\(182\) | −12.7609 | + | 10.1764i | −0.945898 | + | 0.754328i | ||||
\(183\) | 3.45457 | + | 4.33190i | 0.255369 | + | 0.320223i | ||||
\(184\) | −0.574340 | − | 1.19263i | −0.0423409 | − | 0.0879218i | ||||
\(185\) | −2.52966 | − | 2.01734i | −0.185984 | − | 0.148318i | ||||
\(186\) | 16.3065i | 1.19565i | ||||||||
\(187\) | 2.57902 | − | 3.23399i | 0.188597 | − | 0.236493i | ||||
\(188\) | −0.0700197 | − | 0.0159815i | −0.00510671 | − | 0.00116557i | ||||
\(189\) | 25.5103 | + | 5.82257i | 1.85560 | + | 0.423530i | ||||
\(190\) | −1.00595 | + | 1.26142i | −0.0729794 | + | 0.0915133i | ||||
\(191\) | 12.4211i | 0.898759i | 0.893341 | + | 0.449379i | \(0.148355\pi\) | ||||
−0.893341 | + | 0.449379i | \(0.851645\pi\) | |||||||
\(192\) | −13.3587 | − | 10.6532i | −0.964081 | − | 0.768829i | ||||
\(193\) | −8.73348 | − | 18.1353i | −0.628650 | − | 1.30541i | −0.935392 | − | 0.353612i | \(-0.884953\pi\) |
0.306742 | − | 0.951793i | \(-0.400761\pi\) | |||||||
\(194\) | −4.54756 | − | 5.70246i | −0.326496 | − | 0.409413i | ||||
\(195\) | −3.21743 | + | 2.56582i | −0.230405 | + | 0.183742i | ||||
\(196\) | 1.67700 | + | 0.807602i | 0.119786 | + | 0.0576859i | ||||
\(197\) | 1.94549 | − | 8.52376i | 0.138611 | − | 0.607292i | −0.857131 | − | 0.515099i | \(-0.827755\pi\) |
0.995741 | − | 0.0921933i | \(-0.0293878\pi\) | |||||||
\(198\) | −2.83396 | − | 12.4164i | −0.201401 | − | 0.882396i | ||||
\(199\) | −12.8225 | + | 6.17498i | −0.908962 | + | 0.437733i | −0.829118 | − | 0.559074i | \(-0.811157\pi\) |
−0.0798444 | + | 0.996807i | \(0.525442\pi\) | |||||||
\(200\) | −5.15481 | + | 10.7041i | −0.364500 | + | 0.756893i | ||||
\(201\) | 34.8227 | − | 7.94805i | 2.45620 | − | 0.560612i | ||||
\(202\) | −21.7255 | −1.52860 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.31716 | −0.232248 | ||||||||
\(205\) | 1.96660 | − | 0.448864i | 0.137353 | − | 0.0313500i | ||||
\(206\) | −5.78576 | + | 12.0143i | −0.403113 | + | 0.837073i | ||||
\(207\) | 2.70062 | − | 1.30055i | 0.187706 | − | 0.0903946i | ||||
\(208\) | 3.18703 | + | 13.9633i | 0.220981 | + | 0.968180i | ||||
\(209\) | 0.747098 | − | 3.27325i | 0.0516778 | − | 0.226415i | ||||
\(210\) | 6.35237 | + | 3.05914i | 0.438355 | + | 0.211101i | ||||
\(211\) | 0.631696 | − | 0.503761i | 0.0434878 | − | 0.0346803i | −0.601505 | − | 0.798869i | \(-0.705432\pi\) |
0.644993 | + | 0.764189i | \(0.276860\pi\) | |||||||
\(212\) | −0.770026 | − | 0.965582i | −0.0528856 | − | 0.0663165i | ||||
\(213\) | 5.74823 | + | 11.9363i | 0.393862 | + | 0.817863i | ||||
\(214\) | 6.22148 | + | 4.96146i | 0.425292 | + | 0.339159i | ||||
\(215\) | − | 1.87418i | − | 0.127818i | ||||||
\(216\) | 11.8463 | − | 14.8548i | 0.806039 | − | 1.01074i | ||||
\(217\) | 11.9348 | + | 2.72405i | 0.810189 | + | 0.184920i | ||||
\(218\) | 8.92075 | + | 2.03610i | 0.604190 | + | 0.137902i | ||||
\(219\) | 15.1429 | − | 18.9886i | 1.02326 | − | 1.28313i | ||||
\(220\) | − | 0.266358i | − | 0.0179578i | ||||||
\(221\) | −6.81476 | − | 5.43459i | −0.458410 | − | 0.365570i | ||||
\(222\) | −14.0488 | − | 29.1727i | −0.942896 | − | 1.95794i | ||||
\(223\) | 7.10932 | + | 8.91481i | 0.476075 | + | 0.596980i | 0.960647 | − | 0.277772i | \(-0.0895960\pi\) |
−0.484572 | + | 0.874752i | \(0.661025\pi\) | |||||||
\(224\) | 5.95692 | − | 4.75049i | 0.398014 | − | 0.317405i | ||||
\(225\) | −24.2386 | − | 11.6727i | −1.61591 | − | 0.778180i | ||||
\(226\) | 3.99654 | − | 17.5100i | 0.265846 | − | 1.16475i | ||||
\(227\) | 4.20484 | + | 18.4226i | 0.279085 | + | 1.22275i | 0.898953 | + | 0.438046i | \(0.144329\pi\) |
−0.619867 | + | 0.784707i | \(0.712814\pi\) | |||||||
\(228\) | −2.42581 | + | 1.16821i | −0.160653 | + | 0.0773666i | ||||
\(229\) | −10.5993 | + | 22.0096i | −0.700420 | + | 1.45444i | 0.181672 | + | 0.983359i | \(0.441849\pi\) |
−0.882092 | + | 0.471077i | \(0.843865\pi\) | |||||||
\(230\) | 0.366511 | − | 0.0836538i | 0.0241670 | − | 0.00551597i | ||||
\(231\) | −14.6718 | −0.965337 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 20.2523 | 1.32677 | 0.663387 | − | 0.748276i | \(-0.269118\pi\) | ||||
0.663387 | + | 0.748276i | \(0.269118\pi\) | |||||||
\(234\) | −26.1642 | + | 5.97181i | −1.71041 | + | 0.390389i | ||||
\(235\) | −0.0353713 | + | 0.0734493i | −0.00230737 | + | 0.00479131i | ||||
\(236\) | 4.77802 | − | 2.30097i | 0.311023 | − | 0.149781i | ||||
\(237\) | −9.03516 | − | 39.5856i | −0.586896 | − | 2.57136i | ||||
\(238\) | −3.32306 | + | 14.5593i | −0.215402 | + | 0.943737i | ||||
\(239\) | 5.97277 | + | 2.87634i | 0.386346 | + | 0.186055i | 0.616967 | − | 0.786989i | \(-0.288361\pi\) |
−0.230620 | + | 0.973044i | \(0.574076\pi\) | |||||||
\(240\) | 4.83713 | − | 3.85748i | 0.312235 | − | 0.249000i | ||||
\(241\) | 0.709654 | + | 0.889878i | 0.0457128 | + | 0.0573221i | 0.804162 | − | 0.594410i | \(-0.202614\pi\) |
−0.758450 | + | 0.651732i | \(0.774043\pi\) | |||||||
\(242\) | −5.95209 | − | 12.3597i | −0.382615 | − | 0.794509i | ||||
\(243\) | −4.99291 | − | 3.98171i | −0.320295 | − | 0.255427i | ||||
\(244\) | 0.755693i | 0.0483783i | ||||||||
\(245\) | 1.31730 | − | 1.65184i | 0.0841590 | − | 0.105532i | ||||
\(246\) | 19.6804 | + | 4.49192i | 1.25478 | + | 0.286395i | ||||
\(247\) | −6.89748 | − | 1.57431i | −0.438876 | − | 0.100171i | ||||
\(248\) | 5.54221 | − | 6.94971i | 0.351931 | − | 0.441307i | ||||
\(249\) | − | 7.19937i | − | 0.456241i | ||||||
\(250\) | −5.38956 | − | 4.29803i | −0.340866 | − | 0.271831i | ||||
\(251\) | 11.4226 | + | 23.7193i | 0.720989 | + | 1.49715i | 0.861874 | + | 0.507123i | \(0.169291\pi\) |
−0.140885 | + | 0.990026i | \(0.544995\pi\) | |||||||
\(252\) | 4.78052 | + | 5.99459i | 0.301145 | + | 0.377623i | ||||
\(253\) | −0.611627 | + | 0.487756i | −0.0384527 | + | 0.0306650i | ||||
\(254\) | −22.9840 | − | 11.0685i | −1.44215 | − | 0.694501i | ||||
\(255\) | −0.837852 | + | 3.67087i | −0.0524683 | + | 0.229879i | ||||
\(256\) | −2.05767 | − | 9.01525i | −0.128605 | − | 0.563453i | ||||
\(257\) | −15.6201 | + | 7.52226i | −0.974357 | + | 0.469226i | −0.852161 | − | 0.523280i | \(-0.824708\pi\) |
−0.122197 | + | 0.992506i | \(0.538994\pi\) | |||||||
\(258\) | 8.13771 | − | 16.8981i | 0.506632 | − | 1.05203i | ||||
\(259\) | −23.6985 | + | 5.40904i | −1.47256 | + | 0.336101i | ||||
\(260\) | −0.561277 | −0.0348089 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −16.8850 | −1.04316 | ||||||||
\(263\) | 4.90012 | − | 1.11842i | 0.302154 | − | 0.0689647i | −0.0687559 | − | 0.997634i | \(-0.521903\pi\) |
0.370910 | + | 0.928669i | \(0.379046\pi\) | |||||||
\(264\) | −4.62240 | + | 9.59852i | −0.284489 | + | 0.590748i | ||||
\(265\) | −1.26304 | + | 0.608247i | −0.0775878 | + | 0.0373643i | ||||
\(266\) | 2.69724 | + | 11.8174i | 0.165378 | + | 0.724569i | ||||
\(267\) | −8.81048 | + | 38.6012i | −0.539192 | + | 2.36236i | ||||
\(268\) | 4.38915 | + | 2.11370i | 0.268110 | + | 0.129115i | ||||
\(269\) | −17.1080 | + | 13.6431i | −1.04309 | + | 0.831837i | −0.986036 | − | 0.166534i | \(-0.946743\pi\) |
−0.0570551 | + | 0.998371i | \(0.518171\pi\) | |||||||
\(270\) | 3.36436 | + | 4.21877i | 0.204748 | + | 0.256746i | ||||
\(271\) | −3.38624 | − | 7.03160i | −0.205699 | − | 0.427139i | 0.772441 | − | 0.635087i | \(-0.219036\pi\) |
−0.978140 | + | 0.207948i | \(0.933322\pi\) | |||||||
\(272\) | 10.2454 | + | 8.17043i | 0.621218 | + | 0.495405i | ||||
\(273\) | 30.9169i | 1.87118i | ||||||||
\(274\) | −11.0544 | + | 13.8617i | −0.667818 | + | 0.837418i | ||||
\(275\) | 6.84526 | + | 1.56239i | 0.412785 | + | 0.0942154i | ||||
\(276\) | 0.611627 | + | 0.139600i | 0.0368156 | + | 0.00840293i | ||||
\(277\) | 1.13035 | − | 1.41741i | 0.0679160 | − | 0.0851639i | −0.746713 | − | 0.665146i | \(-0.768369\pi\) |
0.814629 | + | 0.579982i | \(0.196941\pi\) | |||||||
\(278\) | 29.5912i | 1.77476i | ||||||||
\(279\) | 15.7371 | + | 12.5499i | 0.942156 | + | 0.751345i | ||||
\(280\) | −1.66760 | − | 3.46280i | −0.0996580 | − | 0.206942i | ||||
\(281\) | 7.97975 | + | 10.0063i | 0.476032 | + | 0.596926i | 0.960637 | − | 0.277808i | \(-0.0896079\pi\) |
−0.484604 | + | 0.874733i | \(0.661036\pi\) | |||||||
\(282\) | −0.637836 | + | 0.508657i | −0.0379826 | + | 0.0302901i | ||||
\(283\) | 18.4045 | + | 8.86315i | 1.09404 | + | 0.526859i | 0.891778 | − | 0.452473i | \(-0.149458\pi\) |
0.202257 | + | 0.979332i | \(0.435172\pi\) | |||||||
\(284\) | −0.402080 | + | 1.76163i | −0.0238590 | + | 0.104533i | ||||
\(285\) | 0.680062 | + | 2.97955i | 0.0402834 | + | 0.176493i | ||||
\(286\) | 6.31051 | − | 3.03898i | 0.373148 | − | 0.179699i | ||||
\(287\) | 6.57532 | − | 13.6538i | 0.388129 | − | 0.805958i | ||||
\(288\) | 12.2138 | − | 2.78771i | 0.719703 | − | 0.164268i | ||||
\(289\) | 9.02488 | 0.530875 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −13.8159 | −0.809902 | ||||||||
\(292\) | 3.22948 | − | 0.737107i | 0.188991 | − | 0.0431359i | ||||
\(293\) | −2.68510 | + | 5.57567i | −0.156865 | + | 0.325734i | −0.964559 | − | 0.263869i | \(-0.915001\pi\) |
0.807693 | + | 0.589603i | \(0.200716\pi\) | |||||||
\(294\) | 19.0494 | − | 9.17373i | 1.11099 | − | 0.535023i | ||||
\(295\) | −1.33949 | − | 5.86869i | −0.0779881 | − | 0.341688i | ||||
\(296\) | −3.92762 | + | 17.2080i | −0.228288 | + | 1.00020i | ||||
\(297\) | −10.1168 | − | 4.87197i | −0.587034 | − | 0.282700i | ||||
\(298\) | 29.0346 | − | 23.1543i | 1.68193 | − | 1.34129i | ||||
\(299\) | 1.02781 | + | 1.28884i | 0.0594400 | + | 0.0745354i | ||||
\(300\) | −2.44305 | − | 5.07304i | −0.141049 | − | 0.292892i | ||||
\(301\) | −11.0084 | − | 8.77890i | −0.634513 | − | 0.506007i | ||||
\(302\) | − | 12.5519i | − | 0.722279i | ||||||
\(303\) | −25.6584 | + | 32.1746i | −1.47403 | + | 1.84838i | ||||
\(304\) | 10.3698 | + | 2.36683i | 0.594747 | + | 0.135747i | ||||
\(305\) | 0.836274 | + | 0.190874i | 0.0478849 | + | 0.0109294i | ||||
\(306\) | −15.3096 | + | 19.1977i | −0.875193 | + | 1.09746i | ||||
\(307\) | − | 3.13998i | − | 0.179208i | −0.995977 | − | 0.0896041i | \(-0.971440\pi\) | ||
0.995977 | − | 0.0896041i | \(-0.0285602\pi\) | |||||||
\(308\) | −1.56451 | − | 1.24766i | −0.0891463 | − | 0.0710918i | ||||
\(309\) | 10.9595 | + | 22.7576i | 0.623463 | + | 1.29463i | ||||
\(310\) | 1.57399 | + | 1.97372i | 0.0893967 | + | 0.112100i | ||||
\(311\) | −5.62216 | + | 4.48352i | −0.318803 | + | 0.254237i | −0.769795 | − | 0.638291i | \(-0.779642\pi\) |
0.450992 | + | 0.892528i | \(0.351070\pi\) | |||||||
\(312\) | 20.2263 | + | 9.74046i | 1.14509 | + | 0.551445i | ||||
\(313\) | 0.462187 | − | 2.02497i | 0.0261244 | − | 0.114458i | −0.960185 | − | 0.279366i | \(-0.909876\pi\) |
0.986309 | + | 0.164908i | \(0.0527328\pi\) | |||||||
\(314\) | 1.26245 | + | 5.53114i | 0.0712440 | + | 0.312140i | ||||
\(315\) | 7.84126 | − | 3.77615i | 0.441805 | − | 0.212762i | ||||
\(316\) | 2.40281 | − | 4.98948i | 0.135168 | − | 0.280680i | ||||
\(317\) | −6.03813 | + | 1.37816i | −0.339135 | + | 0.0774053i | −0.388697 | − | 0.921366i | \(-0.627075\pi\) |
0.0495619 | + | 0.998771i | \(0.484217\pi\) | |||||||
\(318\) | −14.0289 | −0.786703 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −2.64522 | −0.147872 | ||||||||
\(321\) | 14.6954 | − | 3.35414i | 0.820219 | − | 0.187210i | ||||
\(322\) | 1.22543 | − | 2.54463i | 0.0682905 | − | 0.141807i | ||||
\(323\) | −5.83214 | + | 2.80861i | −0.324509 | + | 0.156275i | ||||
\(324\) | 0.504170 | + | 2.20891i | 0.0280094 | + | 0.122717i | ||||
\(325\) | 3.29230 | − | 14.4245i | 0.182624 | − | 0.800129i | ||||
\(326\) | 24.8182 | + | 11.9518i | 1.37455 | + | 0.661949i | ||||
\(327\) | 13.5510 | − | 10.8066i | 0.749373 | − | 0.597605i | ||||
\(328\) | −6.86092 | − | 8.60333i | −0.378831 | − | 0.475039i | ||||
\(329\) | 0.265737 | + | 0.551808i | 0.0146505 | + | 0.0304221i | ||||
\(330\) | −2.36552 | − | 1.88644i | −0.130218 | − | 0.103845i | ||||
\(331\) | − | 2.80221i | − | 0.154023i | −0.997030 | − | 0.0770116i | \(-0.975462\pi\) | ||
0.997030 | − | 0.0770116i | \(-0.0245378\pi\) | |||||||
\(332\) | 0.612216 | − | 0.767694i | 0.0335997 | − | 0.0421327i | ||||
\(333\) | −38.9663 | − | 8.89381i | −2.13534 | − | 0.487378i | ||||
\(334\) | 16.2675 | + | 3.71295i | 0.890117 | + | 0.203163i | ||||
\(335\) | 3.44770 | − | 4.32328i | 0.188368 | − | 0.236206i | ||||
\(336\) | − | 46.4809i | − | 2.53574i | ||||||
\(337\) | −15.0817 | − | 12.0272i | −0.821551 | − | 0.655165i | 0.119724 | − | 0.992807i | \(-0.461799\pi\) |
−0.941274 | + | 0.337643i | \(0.890371\pi\) | |||||||
\(338\) | 2.33485 | + | 4.84837i | 0.126999 | + | 0.263717i | ||||
\(339\) | −21.2115 | − | 26.5984i | −1.15205 | − | 1.44463i | ||||
\(340\) | −0.401504 | + | 0.320189i | −0.0217746 | + | 0.0173647i | ||||
\(341\) | −4.73305 | − | 2.27932i | −0.256309 | − | 0.123432i | ||||
\(342\) | −4.43493 | + | 19.4307i | −0.239814 | + | 1.05069i | ||||
\(343\) | 1.78461 | + | 7.81891i | 0.0963602 | + | 0.422181i | ||||
\(344\) | −9.21150 | + | 4.43602i | −0.496651 | + | 0.239174i | ||||
\(345\) | 0.308971 | − | 0.641585i | 0.0166344 | − | 0.0345418i | ||||
\(346\) | −7.70716 | + | 1.75911i | −0.414339 | + | 0.0945702i | ||||
\(347\) | 29.3654 | 1.57642 | 0.788209 | − | 0.615408i | \(-0.211009\pi\) | ||||
0.788209 | + | 0.615408i | \(0.211009\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.51756 | 0.455935 | 0.227967 | − | 0.973669i | \(-0.426792\pi\) | ||||
0.227967 | + | 0.973669i | \(0.426792\pi\) | |||||||
\(350\) | −24.7133 | + | 5.64066i | −1.32098 | + | 0.301506i | ||||
\(351\) | −10.2664 | + | 21.3183i | −0.547977 | + | 1.13789i | ||||
\(352\) | −2.94582 | + | 1.41863i | −0.157013 | + | 0.0756134i | ||||
\(353\) | 5.80815 | + | 25.4472i | 0.309137 | + | 1.35442i | 0.855905 | + | 0.517133i | \(0.173001\pi\) |
−0.546769 | + | 0.837284i | \(0.684142\pi\) | |||||||
\(354\) | 13.4047 | − | 58.7298i | 0.712452 | − | 3.12146i | ||||
\(355\) | 1.84791 | + | 0.889908i | 0.0980770 | + | 0.0472314i | ||||
\(356\) | −4.22204 | + | 3.36696i | −0.223768 | + | 0.178449i | ||||
\(357\) | 17.6370 | + | 22.1162i | 0.933452 | + | 1.17051i | ||||
\(358\) | 5.77438 | + | 11.9906i | 0.305185 | + | 0.633724i | ||||
\(359\) | −4.35541 | − | 3.47333i | −0.229870 | − | 0.183315i | 0.501781 | − | 0.864995i | \(-0.332678\pi\) |
−0.731651 | + | 0.681680i | \(0.761250\pi\) | |||||||
\(360\) | − | 6.31955i | − | 0.333069i | ||||||
\(361\) | 8.57042 | − | 10.7470i | 0.451075 | − | 0.565630i | ||||
\(362\) | −14.0655 | − | 3.21035i | −0.739264 | − | 0.168732i | ||||
\(363\) | −25.3337 | − | 5.78225i | −1.32967 | − | 0.303489i | ||||
\(364\) | −2.62910 | + | 3.29678i | −0.137802 | + | 0.172798i | ||||
\(365\) | − | 3.76002i | − | 0.196808i | ||||||
\(366\) | 6.71131 | + | 5.35209i | 0.350806 | + | 0.279758i | ||||
\(367\) | 2.19753 | + | 4.56323i | 0.114710 | + | 0.238198i | 0.950417 | − | 0.310977i | \(-0.100656\pi\) |
−0.835707 | + | 0.549175i | \(0.814942\pi\) | |||||||
\(368\) | −1.54523 | − | 1.93766i | −0.0805506 | − | 0.101007i | ||||
\(369\) | 19.4816 | − | 15.5361i | 1.01417 | − | 0.808775i | ||||
\(370\) | −4.51635 | − | 2.17496i | −0.234794 | − | 0.113071i | ||||
\(371\) | −2.34357 | + | 10.2678i | −0.121672 | + | 0.533079i | ||||
\(372\) | 0.937439 | + | 4.10719i | 0.0486039 | + | 0.212948i | ||||
\(373\) | 0.418212 | − | 0.201400i | 0.0216542 | − | 0.0104281i | −0.423025 | − | 0.906118i | \(-0.639032\pi\) |
0.444680 | + | 0.895690i | \(0.353318\pi\) | |||||||
\(374\) | 2.78053 | − | 5.77383i | 0.143778 | − | 0.298558i | ||||
\(375\) | −12.7304 | + | 2.90563i | −0.657395 | + | 0.150046i | ||||
\(376\) | 0.444721 | 0.0229347 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 40.5390 | 2.08510 | ||||||||
\(379\) | −2.30346 | + | 0.525749i | −0.118321 | + | 0.0270059i | −0.281271 | − | 0.959628i | \(-0.590756\pi\) |
0.162951 | + | 0.986634i | \(0.447899\pi\) | |||||||
\(380\) | −0.180855 | + | 0.375550i | −0.00927769 | + | 0.0192653i | ||||
\(381\) | −43.5367 | + | 20.9662i | −2.23046 | + | 1.07413i | ||||
\(382\) | 4.28213 | + | 18.7612i | 0.219093 | + | 0.959908i | ||||
\(383\) | 5.54294 | − | 24.2852i | 0.283231 | − | 1.24092i | −0.610393 | − | 0.792099i | \(-0.708988\pi\) |
0.893624 | − | 0.448817i | \(-0.148154\pi\) | |||||||
\(384\) | −35.6543 | − | 17.1702i | −1.81948 | − | 0.876213i | ||||
\(385\) | −1.77586 | + | 1.41620i | −0.0905062 | + | 0.0721763i | ||||
\(386\) | −19.4434 | − | 24.3813i | −0.989643 | − | 1.24097i | ||||
\(387\) | −10.0451 | − | 20.8588i | −0.510619 | − | 1.06031i | ||||
\(388\) | −1.47324 | − | 1.17487i | −0.0747923 | − | 0.0596449i | ||||
\(389\) | − | 12.0401i | − | 0.610455i | −0.952279 | − | 0.305227i | \(-0.901268\pi\) | ||
0.952279 | − | 0.305227i | \(-0.0987325\pi\) | |||||||
\(390\) | −3.97516 | + | 4.98469i | −0.201290 | + | 0.252410i | ||||
\(391\) | 1.47048 | + | 0.335626i | 0.0743651 | + | 0.0169734i | ||||
\(392\) | −11.2366 | − | 2.56469i | −0.567536 | − | 0.129536i | ||||
\(393\) | −19.9416 | + | 25.0059i | −1.00592 | + | 1.26138i | ||||
\(394\) | − | 13.5453i | − | 0.682400i | ||||||
\(395\) | −4.91461 | − | 3.91927i | −0.247281 | − | 0.197200i | ||||
\(396\) | −1.42760 | − | 2.96445i | −0.0717397 | − | 0.148969i | ||||
\(397\) | −16.2429 | − | 20.3680i | −0.815208 | − | 1.02224i | −0.999227 | − | 0.0393161i | \(-0.987482\pi\) |
0.184019 | − | 0.982923i | \(-0.441089\pi\) | |||||||
\(398\) | −17.2387 | + | 13.7474i | −0.864098 | + | 0.689095i | ||||
\(399\) | 20.6865 | + | 9.96210i | 1.03562 | + | 0.498729i | ||||
\(400\) | −4.94969 | + | 21.6860i | −0.247485 | + | 1.08430i | ||||
\(401\) | −6.12791 | − | 26.8481i | −0.306013 | − | 1.34073i | −0.860887 | − | 0.508796i | \(-0.830091\pi\) |
0.554874 | − | 0.831934i | \(-0.312766\pi\) | |||||||
\(402\) | 49.8573 | − | 24.0100i | 2.48665 | − | 1.19751i | ||||
\(403\) | −4.80304 | + | 9.97362i | −0.239257 | + | 0.496821i | ||||
\(404\) | −5.47208 | + | 1.24897i | −0.272246 | + | 0.0621384i | ||||
\(405\) | 2.57179 | 0.127793 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 10.4313 | 0.517058 | ||||||||
\(408\) | 20.0253 | − | 4.57064i | 0.991399 | − | 0.226280i | ||||
\(409\) | 7.76612 | − | 16.1265i | 0.384010 | − | 0.797405i | −0.615944 | − | 0.787790i | \(-0.711225\pi\) |
0.999954 | − | 0.00961471i | \(-0.00306050\pi\) | |||||||
\(410\) | 2.81567 | − | 1.35596i | 0.139056 | − | 0.0669659i | ||||
\(411\) | 7.47317 | + | 32.7421i | 0.368624 | + | 1.61505i | ||||
\(412\) | −0.766599 | + | 3.35869i | −0.0377676 | + | 0.165471i | ||||
\(413\) | −40.7454 | − | 19.6219i | −2.00495 | − | 0.965532i | ||||
\(414\) | 3.63075 | − | 2.89543i | 0.178442 | − | 0.142302i | ||||
\(415\) | −0.694920 | − | 0.871402i | −0.0341123 | − | 0.0427754i | ||||
\(416\) | 2.98938 | + | 6.20752i | 0.146566 | + | 0.304348i | ||||
\(417\) | 43.8233 | + | 34.9479i | 2.14603 | + | 1.71141i | ||||
\(418\) | − | 5.20158i | − | 0.254418i | ||||||
\(419\) | 1.68859 | − | 2.11742i | 0.0824928 | − | 0.103443i | −0.738872 | − | 0.673845i | \(-0.764641\pi\) |
0.821365 | + | 0.570403i | \(0.193213\pi\) | |||||||
\(420\) | 1.77586 | + | 0.405329i | 0.0866531 | + | 0.0197780i | ||||
\(421\) | −13.5811 | − | 3.09980i | −0.661902 | − | 0.151075i | −0.121643 | − | 0.992574i | \(-0.538816\pi\) |
−0.540259 | + | 0.841499i | \(0.681674\pi\) | |||||||
\(422\) | 0.780465 | − | 0.978672i | 0.0379924 | − | 0.0476410i | ||||
\(423\) | 1.00704i | 0.0489639i | ||||||||
\(424\) | 5.97901 | + | 4.76810i | 0.290366 | + | 0.231559i | ||||
\(425\) | −5.87358 | − | 12.1966i | −0.284910 | − | 0.591622i | ||||
\(426\) | 12.7973 | + | 16.0473i | 0.620032 | + | 0.777496i | ||||
\(427\) | 5.03836 | − | 4.01796i | 0.243823 | − | 0.194443i | ||||
\(428\) | 1.85225 | + | 0.891998i | 0.0895321 | + | 0.0431164i | ||||
\(429\) | 2.95226 | − | 12.9347i | 0.142537 | − | 0.624493i | ||||
\(430\) | −0.646116 | − | 2.83082i | −0.0311585 | − | 0.136514i | ||||
\(431\) | −11.8293 | + | 5.69671i | −0.569799 | + | 0.274401i | −0.696520 | − | 0.717538i | \(-0.745269\pi\) |
0.126721 | + | 0.991938i | \(0.459555\pi\) | |||||||
\(432\) | 15.4346 | − | 32.0502i | 0.742596 | − | 1.54202i | ||||
\(433\) | 5.49900 | − | 1.25511i | 0.264265 | − | 0.0603168i | −0.0883353 | − | 0.996091i | \(-0.528155\pi\) |
0.352600 | + | 0.935774i | \(0.385298\pi\) | |||||||
\(434\) | 18.9659 | 0.910391 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.36396 | 0.113213 | ||||||||
\(437\) | 1.19354 | − | 0.272419i | 0.0570950 | − | 0.0130316i | ||||
\(438\) | 16.3260 | − | 33.9014i | 0.780089 | − | 1.61987i | ||||
\(439\) | 21.8988 | − | 10.5459i | 1.04517 | − | 0.503329i | 0.169147 | − | 0.985591i | \(-0.445899\pi\) |
0.876027 | + | 0.482262i | \(0.160185\pi\) | |||||||
\(440\) | 0.367009 | + | 1.60797i | 0.0174965 | + | 0.0766570i | ||||
\(441\) | 5.80756 | − | 25.4446i | 0.276550 | − | 1.21165i | ||||
\(442\) | −12.1668 | − | 5.85922i | −0.578715 | − | 0.278694i | ||||
\(443\) | 8.55458 | − | 6.82205i | 0.406440 | − | 0.324125i | −0.398839 | − | 0.917021i | \(-0.630587\pi\) |
0.805279 | + | 0.592896i | \(0.202015\pi\) | |||||||
\(444\) | −5.21563 | − | 6.54019i | −0.247523 | − | 0.310384i | ||||
\(445\) | 2.65958 | + | 5.52267i | 0.126076 | + | 0.261800i | ||||
\(446\) | 13.8115 | + | 11.0143i | 0.653993 | + | 0.521542i | ||||
\(447\) | − | 70.3448i | − | 3.32719i | ||||||
\(448\) | −12.3906 | + | 15.5373i | −0.585399 | + | 0.734067i | ||||
\(449\) | −2.38783 | − | 0.545007i | −0.112689 | − | 0.0257205i | 0.165805 | − | 0.986159i | \(-0.446978\pi\) |
−0.278493 | + | 0.960438i | \(0.589835\pi\) | |||||||
\(450\) | −40.6349 | − | 9.27466i | −1.91555 | − | 0.437211i | ||||
\(451\) | −4.05472 | + | 5.08445i | −0.190929 | + | 0.239418i | ||||
\(452\) | − | 4.64006i | − | 0.218250i | ||||||
\(453\) | −18.5888 | − | 14.8241i | −0.873378 | − | 0.696495i | ||||
\(454\) | 12.7023 | + | 26.3765i | 0.596147 | + | 1.23791i | ||||
\(455\) | 2.98426 | + | 3.74214i | 0.139904 | + | 0.175434i | ||||
\(456\) | 13.0347 | − | 10.3948i | 0.610405 | − | 0.486782i | ||||
\(457\) | −18.5313 | − | 8.92422i | −0.866859 | − | 0.417457i | −0.0530516 | − | 0.998592i | \(-0.516895\pi\) |
−0.813808 | + | 0.581134i | \(0.802609\pi\) | |||||||
\(458\) | −8.42175 | + | 36.8981i | −0.393523 | + | 1.72414i | ||||
\(459\) | 4.81741 | + | 21.1065i | 0.224858 | + | 0.985165i | ||||
\(460\) | 0.0875054 | − | 0.0421404i | 0.00407996 | − | 0.00196481i | ||||
\(461\) | 7.31847 | − | 15.1970i | 0.340855 | − | 0.707793i | −0.658127 | − | 0.752907i | \(-0.728651\pi\) |
0.998982 | + | 0.0451140i | \(0.0143651\pi\) | |||||||
\(462\) | −22.1608 | + | 5.05807i | −1.03102 | + | 0.235323i | ||||
\(463\) | −12.3851 | −0.575585 | −0.287793 | − | 0.957693i | \(-0.592921\pi\) | ||||
−0.287793 | + | 0.957693i | \(0.592921\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 4.78192 | 0.221756 | ||||||||
\(466\) | 30.5898 | − | 6.98192i | 1.41704 | − | 0.323431i | ||||
\(467\) | −11.0089 | + | 22.8602i | −0.509431 | + | 1.05784i | 0.474658 | + | 0.880170i | \(0.342572\pi\) |
−0.984089 | + | 0.177674i | \(0.943143\pi\) | |||||||
\(468\) | −6.24676 | + | 3.00828i | −0.288757 | + | 0.139058i | ||||
\(469\) | −9.24425 | − | 40.5017i | −0.426860 | − | 1.87019i | ||||
\(470\) | −0.0281046 | + | 0.123134i | −0.00129637 | + | 0.00567977i | ||||
\(471\) | 9.68236 | + | 4.66278i | 0.446140 | + | 0.214850i | ||||
\(472\) | −25.6739 | + | 20.4742i | −1.18174 | + | 0.942402i | ||||
\(473\) | 3.76728 | + | 4.72402i | 0.173220 | + | 0.217211i | ||||
\(474\) | −27.2940 | − | 56.6766i | −1.25365 | − | 2.60324i | ||||
\(475\) | −8.59060 | − | 6.85077i | −0.394164 | − | 0.314335i | ||||
\(476\) | 3.85813i | 0.176837i | ||||||||
\(477\) | −10.7970 | + | 13.5390i | −0.494362 | + | 0.619910i | ||||
\(478\) | 10.0131 | + | 2.28542i | 0.457987 | + | 0.104533i | ||||
\(479\) | 14.8695 | + | 3.39386i | 0.679404 | + | 0.155070i | 0.548278 | − | 0.836296i | \(-0.315284\pi\) |
0.131126 | + | 0.991366i | \(0.458141\pi\) | |||||||
\(480\) | 1.85565 | − | 2.32692i | 0.0846986 | − | 0.106209i | ||||
\(481\) | − | 21.9810i | − | 1.00225i | ||||||
\(482\) | 1.37867 | + | 1.09945i | 0.0627965 | + | 0.0500786i | ||||
\(483\) | −2.32123 | − | 4.82008i | −0.105620 | − | 0.219321i | ||||
\(484\) | −2.20971 | − | 2.77089i | −0.100442 | − | 0.125950i | ||||
\(485\) | −1.67226 | + | 1.33358i | −0.0759333 | + | 0.0605548i | ||||
\(486\) | −8.91413 | − | 4.29282i | −0.404353 | − | 0.194726i | ||||
\(487\) | 0.117757 | − | 0.515927i | 0.00533608 | − | 0.0233789i | −0.972190 | − | 0.234194i | \(-0.924755\pi\) |
0.977526 | + | 0.210815i | \(0.0676119\pi\) | |||||||
\(488\) | −1.04125 | − | 4.56203i | −0.0471353 | − | 0.206513i | ||||
\(489\) | 47.0110 | − | 22.6393i | 2.12591 | − | 1.02379i | ||||
\(490\) | 1.42022 | − | 2.94912i | 0.0641592 | − | 0.133228i | ||||
\(491\) | −18.6691 | + | 4.26109i | −0.842523 | + | 0.192300i | −0.621937 | − | 0.783067i | \(-0.713654\pi\) |
−0.220586 | + | 0.975368i | \(0.570797\pi\) | |||||||
\(492\) | 5.21521 | 0.235120 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −10.9609 | −0.493155 | ||||||||
\(495\) | −3.64113 | + | 0.831065i | −0.163657 | + | 0.0373536i | ||||
\(496\) | 7.22096 | − | 14.9945i | 0.324230 | − | 0.673272i | ||||
\(497\) | 13.8829 | − | 6.68567i | 0.622735 | − | 0.299893i | ||||
\(498\) | −2.48196 | − | 10.8742i | −0.111219 | − | 0.487283i | ||||
\(499\) | 3.03547 | − | 13.2992i | 0.135886 | − | 0.595356i | −0.860428 | − | 0.509573i | \(-0.829804\pi\) |
0.996314 | − | 0.0857835i | \(-0.0273393\pi\) | |||||||
\(500\) | −1.60458 | − | 0.772723i | −0.0717588 | − | 0.0345572i | ||||
\(501\) | 24.7110 | − | 19.7064i | 1.10401 | − | 0.880416i | ||||
\(502\) | 25.4302 | + | 31.8885i | 1.13501 | + | 1.42325i | ||||
\(503\) | 18.1729 | + | 37.7364i | 0.810290 | + | 1.68258i | 0.727593 | + | 0.686009i | \(0.240639\pi\) |
0.0826972 | + | 0.996575i | \(0.473647\pi\) | |||||||
\(504\) | −37.1192 | − | 29.6016i | −1.65342 | − | 1.31856i | ||||
\(505\) | 6.37104i | 0.283508i | ||||||||
\(506\) | −0.755669 | + | 0.947579i | −0.0335936 | + | 0.0421250i | ||||
\(507\) | 9.93776 | + | 2.26823i | 0.441351 | + | 0.100736i | ||||
\(508\) | −6.42539 | − | 1.46655i | −0.285080 | − | 0.0650678i | ||||
\(509\) | −1.65526 | + | 2.07563i | −0.0733679 | + | 0.0920005i | −0.817161 | − | 0.576409i | \(-0.804453\pi\) |
0.743793 | + | 0.668410i | \(0.233025\pi\) | |||||||
\(510\) | 5.83345i | 0.258309i | ||||||||
\(511\) | −22.0853 | − | 17.6124i | −0.976995 | − | 0.779128i | ||||
\(512\) | 5.48570 | + | 11.3912i | 0.242436 | + | 0.503423i | ||||
\(513\) | 10.9560 | + | 13.7384i | 0.483721 | + | 0.606567i | ||||
\(514\) | −20.9999 | + | 16.7469i | −0.926266 | + | 0.738672i | ||||
\(515\) | 3.52320 | + | 1.69668i | 0.155251 | + | 0.0747648i | ||||
\(516\) | 1.07823 | − | 4.72402i | 0.0474663 | − | 0.207963i | ||||
\(517\) | −0.0584839 | − | 0.256235i | −0.00257212 | − | 0.0112692i | ||||
\(518\) | −33.9303 | + | 16.3400i | −1.49081 | + | 0.717937i | ||||
\(519\) | −6.49718 | + | 13.4915i | −0.285194 | + | 0.592212i | ||||
\(520\) | 3.38836 | − | 0.773371i | 0.148589 | − | 0.0339146i | ||||
\(521\) | −6.45004 | −0.282581 | −0.141291 | − | 0.989968i | \(-0.545125\pi\) | ||||
−0.141291 | + | 0.989968i | \(0.545125\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −18.9831 | −0.830074 | −0.415037 | − | 0.909804i | \(-0.636231\pi\) | ||||
−0.415037 | + | 0.909804i | \(0.636231\pi\) | |||||||
\(524\) | −4.25288 | + | 0.970693i | −0.185788 | + | 0.0424049i | ||||
\(525\) | −20.8335 | + | 43.2612i | −0.909248 | + | 1.88807i | ||||
\(526\) | 7.01573 | − | 3.37860i | 0.305900 | − | 0.147314i | ||||
\(527\) | 2.25379 | + | 9.87451i | 0.0981768 | + | 0.430141i | ||||
\(528\) | −4.43847 | + | 19.4462i | −0.193160 | + | 0.846287i | ||||
\(529\) | 20.4653 | + | 9.85556i | 0.889795 | + | 0.428503i | ||||
\(530\) | −1.69804 | + | 1.35414i | −0.0737582 | + | 0.0588202i | ||||
\(531\) | −46.3624 | − | 58.1366i | −2.01196 | − | 2.52291i | ||||
\(532\) | 1.35873 | + | 2.82142i | 0.0589082 | + | 0.122324i | ||||
\(533\) | 10.7141 | + | 8.54421i | 0.464079 | + | 0.370091i | ||||
\(534\) | 61.3419i | 2.65453i | ||||||||
\(535\) | 1.45496 | − | 1.82446i | 0.0629033 | − | 0.0788782i | ||||
\(536\) | −29.4092 | − | 6.71245i | −1.27028 | − | 0.289934i | ||||
\(537\) | 24.5773 | + | 5.60961i | 1.06059 | + | 0.242072i | ||||
\(538\) | −21.1370 | + | 26.5050i | −0.911281 | + | 1.14271i | ||||
\(539\) | 6.81149i | 0.293392i | ||||||||
\(540\) | 1.08992 | + | 0.869185i | 0.0469028 | + | 0.0374038i | ||||
\(541\) | 9.90061 | + | 20.5588i | 0.425660 | + | 0.883893i | 0.997960 | + | 0.0638482i | \(0.0203373\pi\) |
−0.572299 | + | 0.820045i | \(0.693948\pi\) | |||||||
\(542\) | −7.53880 | − | 9.45336i | −0.323819 | − | 0.406057i | ||||
\(543\) | −21.3660 | + | 17.0389i | −0.916905 | + | 0.731207i | ||||
\(544\) | 5.67960 | + | 2.73515i | 0.243511 | + | 0.117269i | ||||
\(545\) | 0.597091 | − | 2.61603i | 0.0255766 | − | 0.112058i | ||||
\(546\) | 10.6585 | + | 46.6979i | 0.456142 | + | 1.99849i | ||||
\(547\) | −14.9387 | + | 7.19408i | −0.638731 | + | 0.307597i | −0.725076 | − | 0.688669i | \(-0.758196\pi\) |
0.0863451 | + | 0.996265i | \(0.472481\pi\) | |||||||
\(548\) | −1.98741 | + | 4.12690i | −0.0848980 | + | 0.176293i | ||||
\(549\) | 10.3304 | − | 2.35784i | 0.440890 | − | 0.100630i | ||||
\(550\) | 10.8779 | 0.463837 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −3.88467 | −0.165343 | ||||||||
\(553\) | −46.0414 | + | 10.5086i | −1.95788 | + | 0.446873i | ||||
\(554\) | 1.21867 | − | 2.53059i | 0.0517762 | − | 0.107514i | ||||
\(555\) | −8.55495 | + | 4.11985i | −0.363137 | + | 0.174878i | ||||
\(556\) | 1.70115 | + | 7.45323i | 0.0721449 | + | 0.316088i | ||||
\(557\) | −9.23771 | + | 40.4731i | −0.391414 | + | 1.71490i | 0.268260 | + | 0.963347i | \(0.413552\pi\) |
−0.659674 | + | 0.751552i | \(0.729306\pi\) | |||||||
\(558\) | 28.0964 | + | 13.5305i | 1.18942 | + | 0.572792i | ||||
\(559\) | 9.95458 | − | 7.93852i | 0.421034 | − | 0.335763i | ||||
\(560\) | −4.48658 | − | 5.62599i | −0.189592 | − | 0.237741i | ||||
\(561\) | −5.26693 | − | 10.9369i | −0.222370 | − | 0.461756i | ||||
\(562\) | 15.5025 | + | 12.3628i | 0.653934 | + | 0.521495i | ||||
\(563\) | 25.8782i | 1.09064i | 0.838229 | + | 0.545318i | \(0.183591\pi\) | ||||
−0.838229 | + | 0.545318i | \(0.816409\pi\) | |||||||
\(564\) | −0.131412 | + | 0.164786i | −0.00553345 | + | 0.00693873i | ||||
\(565\) | −5.13483 | − | 1.17199i | −0.216024 | − | 0.0493061i | ||||
\(566\) | 30.8543 | + | 7.04230i | 1.29690 | + | 0.296010i | ||||
\(567\) | 12.0466 | − | 15.1060i | 0.505911 | − | 0.634392i | ||||
\(568\) | − | 11.1887i | − | 0.469469i | ||||||
\(569\) | 5.35998 | + | 4.27444i | 0.224702 | + | 0.179194i | 0.729370 | − | 0.684120i | \(-0.239813\pi\) |
−0.504668 | + | 0.863314i | \(0.668385\pi\) | |||||||
\(570\) | 2.05438 | + | 4.26595i | 0.0860483 | + | 0.178681i | ||||
\(571\) | −15.4608 | − | 19.3872i | −0.647014 | − | 0.811330i | 0.344847 | − | 0.938659i | \(-0.387931\pi\) |
−0.991861 | + | 0.127329i | \(0.959360\pi\) | |||||||
\(572\) | 1.41474 | − | 1.12822i | 0.0591534 | − | 0.0471733i | ||||
\(573\) | 32.8419 | + | 15.8158i | 1.37199 | + | 0.660715i | ||||
\(574\) | 5.22448 | − | 22.8900i | 0.218066 | − | 0.955408i | ||||
\(575\) | 0.569702 | + | 2.49603i | 0.0237582 | + | 0.104092i | ||||
\(576\) | −29.4401 | + | 14.1776i | −1.22667 | + | 0.590734i | ||||
\(577\) | 17.9884 | − | 37.3532i | 0.748865 | − | 1.55503i | −0.0807732 | − | 0.996733i | \(-0.525739\pi\) |
0.829638 | − | 0.558302i | \(-0.188547\pi\) | |||||||
\(578\) | 13.6315 | − | 3.11129i | 0.566994 | − | 0.129413i | ||||
\(579\) | −59.0708 | −2.45490 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −8.37346 | −0.347390 | ||||||||
\(582\) | −20.8680 | + | 4.76298i | −0.865006 | + | 0.197432i | ||||
\(583\) | 1.96095 | − | 4.07196i | 0.0812144 | − | 0.168643i | ||||
\(584\) | −18.4803 | + | 8.89965i | −0.764721 | + | 0.368270i | ||||
\(585\) | 1.75124 | + | 7.67269i | 0.0724050 | + | 0.317227i | ||||
\(586\) | −2.13347 | + | 9.34735i | −0.0881329 | + | 0.386136i | ||||
\(587\) | −8.12034 | − | 3.91055i | −0.335162 | − | 0.161406i | 0.258731 | − | 0.965949i | \(-0.416696\pi\) |
−0.593893 | + | 0.804544i | \(0.702410\pi\) | |||||||
\(588\) | 4.27067 | − | 3.40574i | 0.176119 | − | 0.140451i | ||||
\(589\) | 5.12570 | + | 6.42743i | 0.211201 | + | 0.264838i | ||||
\(590\) | −4.04642 | − | 8.40247i | −0.166588 | − | 0.345924i | ||||
\(591\) | −20.0600 | − | 15.9973i | −0.825157 | − | 0.658040i | ||||
\(592\) | 33.0466i | 1.35821i | ||||||||
\(593\) | −2.56163 | + | 3.21218i | −0.105194 | + | 0.131909i | −0.831641 | − | 0.555313i | \(-0.812598\pi\) |
0.726448 | + | 0.687222i | \(0.241170\pi\) | |||||||
\(594\) | −16.9603 | − | 3.87107i | −0.695888 | − | 0.158832i | ||||
\(595\) | 4.26953 | + | 0.974492i | 0.175034 | + | 0.0399503i | ||||
\(596\) | 5.98194 | − | 7.50111i | 0.245030 | − | 0.307258i | ||||
\(597\) | 41.7658i | 1.70936i | ||||||||
\(598\) | 1.99677 | + | 1.59237i | 0.0816538 | + | 0.0651168i | ||||
\(599\) | −19.4134 | − | 40.3123i | −0.793210 | − | 1.64712i | −0.761976 | − | 0.647605i | \(-0.775771\pi\) |
−0.0312337 | − | 0.999512i | \(-0.509944\pi\) | |||||||
\(600\) | 21.7384 | + | 27.2591i | 0.887466 | + | 1.11285i | ||||
\(601\) | −3.46522 | + | 2.76342i | −0.141349 | + | 0.112722i | −0.691612 | − | 0.722269i | \(-0.743099\pi\) |
0.550263 | + | 0.834992i | \(0.314528\pi\) | |||||||
\(602\) | −19.6539 | − | 9.46484i | −0.801035 | − | 0.385758i | ||||
\(603\) | 15.1999 | − | 66.5950i | 0.618986 | − | 2.71196i | ||||
\(604\) | −0.721588 | − | 3.16149i | −0.0293610 | − | 0.128639i | ||||
\(605\) | −3.62449 | + | 1.74546i | −0.147356 | + | 0.0709631i | ||||
\(606\) | −27.6632 | + | 57.4431i | −1.12374 | + | 2.33347i | ||||
\(607\) | 11.1191 | − | 2.53786i | 0.451310 | − | 0.103009i | 0.00917681 | − | 0.999958i | \(-0.497079\pi\) |
0.442133 | + | 0.896949i | \(0.354222\pi\) | |||||||
\(608\) | 5.11669 | 0.207509 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.32894 | 0.0538071 | ||||||||
\(611\) | −0.539945 | + | 0.123239i | −0.0218438 | + | 0.00498571i | ||||
\(612\) | −2.75245 | + | 5.71551i | −0.111261 | + | 0.231036i | ||||
\(613\) | 28.4036 | − | 13.6785i | 1.14721 | − | 0.552468i | 0.239016 | − | 0.971016i | \(-0.423175\pi\) |
0.908195 | + | 0.418548i | \(0.137461\pi\) | |||||||
\(614\) | −1.08250 | − | 4.74273i | −0.0436861 | − | 0.191401i | ||||
\(615\) | 1.31726 | − | 5.77131i | 0.0531172 | − | 0.232722i | ||||
\(616\) | 11.1639 | + | 5.37624i | 0.449806 | + | 0.216615i | ||||
\(617\) | 2.48272 | − | 1.97991i | 0.0999507 | − | 0.0797080i | −0.572239 | − | 0.820087i | \(-0.693925\pi\) |
0.672190 | + | 0.740379i | \(0.265354\pi\) | |||||||
\(618\) | 24.3992 | + | 30.5956i | 0.981478 | + | 1.23073i | ||||
\(619\) | −9.05778 | − | 18.8087i | −0.364063 | − | 0.755984i | 0.635811 | − | 0.771844i | \(-0.280666\pi\) |
−0.999874 | + | 0.0158603i | \(0.994951\pi\) | |||||||
\(620\) | 0.509913 | + | 0.406642i | 0.0204786 | + | 0.0163311i | ||||
\(621\) | − | 4.09441i | − | 0.164303i | ||||||
\(622\) | −6.94622 | + | 8.71028i | −0.278518 | + | 0.349250i | ||||
\(623\) | 44.8964 | + | 10.2473i | 1.79874 | + | 0.410550i | ||||
\(624\) | 40.9776 | + | 9.35287i | 1.64042 | + | 0.374414i | ||||
\(625\) | 13.6834 | − | 17.1584i | 0.547334 | − | 0.686335i | ||||
\(626\) | − | 3.21792i | − | 0.128614i | ||||||
\(627\) | −7.70333 | − | 6.14320i | −0.307641 | − | 0.245336i | ||||
\(628\) | 0.635954 | + | 1.32057i | 0.0253773 | + | 0.0526965i | ||||
\(629\) | −12.5394 | − | 15.7239i | −0.499980 | − | 0.626955i | ||||
\(630\) | 10.5419 | − | 8.40687i | 0.419999 | − | 0.334938i | ||||
\(631\) | −34.5397 | − | 16.6334i | −1.37500 | − | 0.662166i | −0.407074 | − | 0.913395i | \(-0.633451\pi\) |
−0.967928 | + | 0.251229i | \(0.919165\pi\) | |||||||
\(632\) | −7.63056 | + | 33.4317i | −0.303527 | + | 1.32984i | ||||
\(633\) | −0.527624 | − | 2.31167i | −0.0209712 | − | 0.0918807i | ||||
\(634\) | −8.64507 | + | 4.16324i | −0.343339 | + | 0.165344i | ||||
\(635\) | −3.24587 | + | 6.74011i | −0.128808 | + | 0.267473i | ||||
\(636\) | −3.53352 | + | 0.806502i | −0.140113 | + | 0.0319799i | ||||
\(637\) | 14.3534 | 0.568701 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 25.3361 | 1.00228 | ||||||||
\(640\) | −5.97290 | + | 1.36328i | −0.236100 | + | 0.0538882i | ||||
\(641\) | 2.90788 | − | 6.03827i | 0.114854 | − | 0.238497i | −0.835615 | − | 0.549315i | \(-0.814889\pi\) |
0.950469 | + | 0.310818i | \(0.100603\pi\) | |||||||
\(642\) | 21.0401 | − | 10.1324i | 0.830388 | − | 0.399894i | ||||
\(643\) | −2.99285 | − | 13.1125i | −0.118026 | − | 0.517107i | −0.999032 | − | 0.0440005i | \(-0.985990\pi\) |
0.881005 | − | 0.473107i | \(-0.156867\pi\) | |||||||
\(644\) | 0.162366 | − | 0.711373i | 0.00639813 | − | 0.0280320i | ||||
\(645\) | −4.95540 | − | 2.38640i | −0.195119 | − | 0.0939643i | ||||
\(646\) | −7.84080 | + | 6.25283i | −0.308492 | + | 0.246014i | ||||
\(647\) | −11.6335 | − | 14.5880i | −0.457361 | − | 0.573513i | 0.498665 | − | 0.866795i | \(-0.333824\pi\) |
−0.956026 | + | 0.293282i | \(0.905252\pi\) | |||||||
\(648\) | −6.08722 | − | 12.6402i | −0.239129 | − | 0.496556i | ||||
\(649\) | 15.1729 | + | 12.1000i | 0.595589 | + | 0.474966i | ||||
\(650\) | − | 22.9223i | − | 0.899086i | ||||||
\(651\) | 22.3992 | − | 28.0877i | 0.877892 | − | 1.10084i | ||||
\(652\) | 6.93814 | + | 1.58359i | 0.271719 | + | 0.0620180i | ||||
\(653\) | 25.9896 | + | 5.93195i | 1.01705 | + | 0.232135i | 0.698378 | − | 0.715729i | \(-0.253906\pi\) |
0.318673 | + | 0.947865i | \(0.396763\pi\) | |||||||
\(654\) | 16.7424 | − | 20.9943i | 0.654678 | − | 0.820941i | ||||
\(655\) | 4.95155i | 0.193473i | ||||||||
\(656\) | −16.1077 | − | 12.8455i | −0.628901 | − | 0.501532i | ||||
\(657\) | −20.1526 | − | 41.8473i | −0.786228 | − | 1.63262i | ||||
\(658\) | 0.591611 | + | 0.741857i | 0.0230634 | + | 0.0289206i | ||||
\(659\) | 21.5477 | − | 17.1838i | 0.839381 | − | 0.669384i | −0.106352 | − | 0.994329i | \(-0.533917\pi\) |
0.945733 | + | 0.324945i | \(0.105346\pi\) | |||||||
\(660\) | −0.704261 | − | 0.339154i | −0.0274133 | − | 0.0132016i | ||||
\(661\) | 6.25596 | − | 27.4092i | 0.243329 | − | 1.06609i | −0.694636 | − | 0.719361i | \(-0.744435\pi\) |
0.937965 | − | 0.346731i | \(-0.112708\pi\) | |||||||
\(662\) | −0.966050 | − | 4.23254i | −0.0375466 | − | 0.164502i | ||||
\(663\) | −23.0465 | + | 11.0986i | −0.895053 | + | 0.431035i | ||||
\(664\) | −2.63808 | + | 5.47803i | −0.102377 | + | 0.212589i | ||||
\(665\) | 3.46546 | − | 0.790969i | 0.134385 | − | 0.0306725i | ||||
\(666\) | −61.9222 | −2.39943 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 4.31080 | 0.166790 | ||||||||
\(669\) | 32.6234 | − | 7.44609i | 1.26129 | − | 0.287882i | ||||
\(670\) | 3.71709 | − | 7.71861i | 0.143604 | − | 0.298196i | ||||
\(671\) | −2.49157 | + | 1.19988i | −0.0961860 | + | 0.0463207i | ||||
\(672\) | −4.97552 | − | 21.7992i | −0.191935 | − | 0.840921i | ||||
\(673\) | −3.18504 | + | 13.9546i | −0.122774 | + | 0.537908i | 0.875709 | + | 0.482840i | \(0.160395\pi\) |
−0.998483 | + | 0.0550683i | \(0.982462\pi\) | |||||||
\(674\) | −26.9262 | − | 12.9670i | −1.03716 | − | 0.499469i | ||||
\(675\) | −28.7308 | + | 22.9121i | −1.10585 | + | 0.881886i | ||||
\(676\) | 0.866814 | + | 1.08695i | 0.0333390 | + | 0.0418058i | ||||
\(677\) | 15.4271 | + | 32.0348i | 0.592913 | + | 1.23120i | 0.954319 | + | 0.298788i | \(0.0965824\pi\) |
−0.361406 | + | 0.932408i | \(0.617703\pi\) | |||||||
\(678\) | −41.2083 | − | 32.8625i | −1.58260 | − | 1.26208i | ||||
\(679\) | 16.0690i | 0.616673i | ||||||||
\(680\) | 1.98265 | − | 2.48617i | 0.0760312 | − | 0.0953402i | ||||
\(681\) | 54.0642 | + | 12.3398i | 2.07175 | + | 0.472862i | ||||
\(682\) | −7.93474 | − | 1.81105i | −0.303837 | − | 0.0693488i | ||||
\(683\) | 2.51629 | − | 3.15533i | 0.0962833 | − | 0.120735i | −0.731356 | − | 0.681996i | \(-0.761112\pi\) |
0.827639 | + | 0.561261i | \(0.189683\pi\) | |||||||
\(684\) | 5.14904i | 0.196879i | ||||||||
\(685\) | 4.06498 | + | 3.24171i | 0.155315 | + | 0.123859i | ||||
\(686\) | 5.39108 | + | 11.1947i | 0.205832 | + | 0.427416i | ||||
\(687\) | 44.6983 | + | 56.0498i | 1.70534 | + | 2.13843i | ||||
\(688\) | −14.9659 | + | 11.9349i | −0.570568 | + | 0.455013i | ||||
\(689\) | −8.58055 | − | 4.13218i | −0.326893 | − | 0.157423i | ||||
\(690\) | 0.245496 | − | 1.07559i | 0.00934587 | − | 0.0409469i | ||||
\(691\) | −7.27735 | − | 31.8842i | −0.276844 | − | 1.21293i | −0.901759 | − | 0.432239i | \(-0.857724\pi\) |
0.624916 | − | 0.780692i | \(-0.285133\pi\) | |||||||
\(692\) | −1.84010 | + | 0.886146i | −0.0699502 | + | 0.0336862i | ||||
\(693\) | −12.1741 | + | 25.2798i | −0.462456 | + | 0.960300i | ||||
\(694\) | 44.3545 | − | 10.1236i | 1.68367 | − | 0.384287i | ||||
\(695\) | 8.67766 | 0.329162 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 12.5384 | 0.474927 | ||||||||
\(698\) | 12.8652 | − | 2.93640i | 0.486955 | − | 0.111144i | ||||
\(699\) | 25.7874 | − | 53.5480i | 0.975368 | − | 2.02537i | ||||
\(700\) | −5.90036 | + | 2.84147i | −0.223013 | + | 0.107397i | ||||
\(701\) | −3.88857 | − | 17.0369i | −0.146869 | − | 0.643476i | −0.993744 | − | 0.111684i | \(-0.964376\pi\) |
0.846875 | − | 0.531793i | \(-0.178481\pi\) | |||||||
\(702\) | −8.15723 | + | 35.7392i | −0.307875 | + | 1.34889i | ||||
\(703\) | −14.7075 | − | 7.08276i | −0.554704 | − | 0.267131i | ||||
\(704\) | 6.66749 | − | 5.31715i | 0.251291 | − | 0.200398i | ||||
\(705\) | 0.149165 | + | 0.187047i | 0.00561787 | + | 0.00704458i | ||||
\(706\) | 17.5456 | + | 36.4339i | 0.660339 | + | 1.37121i | ||||
\(707\) | 37.4217 | + | 29.8428i | 1.40739 | + | 1.12235i | ||||
\(708\) | − | 15.5631i | − | 0.584898i | ||||||
\(709\) | −3.21692 | + | 4.03389i | −0.120814 | + | 0.151496i | −0.838560 | − | 0.544809i | \(-0.816602\pi\) |
0.717746 | + | 0.696305i | \(0.245174\pi\) | |||||||
\(710\) | 3.09794 | + | 0.707085i | 0.116264 | + | 0.0265364i | ||||
\(711\) | −75.7036 | − | 17.2788i | −2.83911 | − | 0.648007i | ||||
\(712\) | 20.8487 | − | 26.1434i | 0.781337 | − | 0.979766i | ||||
\(713\) | − | 1.91554i | − | 0.0717375i | ||||||
\(714\) | 34.2640 | + | 27.3247i | 1.28230 | + | 1.02260i | ||||
\(715\) | −0.891186 | − | 1.85057i | −0.0333285 | − | 0.0692073i | ||||
\(716\) | 2.14374 | + | 2.68816i | 0.0801152 | + | 0.100461i | ||||
\(717\) | 15.2103 | − | 12.1298i | 0.568039 | − | 0.452996i | ||||
\(718\) | −7.77598 | − | 3.74471i | −0.290197 | − | 0.139751i | ||||
\(719\) | 4.74333 | − | 20.7819i | 0.176897 | − | 0.775034i | −0.806155 | − | 0.591705i | \(-0.798455\pi\) |
0.983051 | − | 0.183330i | \(-0.0586876\pi\) | |||||||
\(720\) | −2.63284 | − | 11.5352i | −0.0981202 | − | 0.429893i | ||||
\(721\) | 26.4690 | − | 12.7468i | 0.985757 | − | 0.474715i | ||||
\(722\) | 9.24007 | − | 19.1872i | 0.343880 | − | 0.714073i | ||||
\(723\) | 3.25648 | − | 0.743270i | 0.121110 | − | 0.0276425i | ||||
\(724\) | −3.72728 | −0.138523 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −40.2583 | −1.49412 | ||||||||
\(727\) | −13.0337 | + | 2.97487i | −0.483395 | + | 0.110332i | −0.457272 | − | 0.889327i | \(-0.651173\pi\) |
−0.0261230 | + | 0.999659i | \(0.508316\pi\) | |||||||
\(728\) | 11.3290 | − | 23.5248i | 0.419879 | − | 0.871889i | ||||
\(729\) | −32.1855 | + | 15.4997i | −1.19206 | + | 0.574064i | ||||
\(730\) | −1.29625 | − | 5.67925i | −0.0479764 | − | 0.210199i | ||||
\(731\) | 2.59227 | − | 11.3575i | 0.0958787 | − | 0.420072i | ||||
\(732\) | 1.99808 | + | 0.962227i | 0.0738513 | + | 0.0355649i | ||||
\(733\) | 9.06052 | − | 7.22553i | 0.334658 | − | 0.266881i | −0.441714 | − | 0.897156i | \(-0.645629\pi\) |
0.776372 | + | 0.630275i | \(0.217058\pi\) | |||||||
\(734\) | 4.89238 | + | 6.13485i | 0.180581 | + | 0.226442i | ||||
\(735\) | −2.69021 | − | 5.58628i | −0.0992299 | − | 0.206053i | ||||
\(736\) | −0.932114 | − | 0.743336i | −0.0343582 | − | 0.0273997i | ||||
\(737\) | 17.8274i | 0.656681i | ||||||||
\(738\) | 24.0697 | − | 30.1824i | 0.886017 | − | 1.11103i | ||||
\(739\) | 1.25540 | + | 0.286538i | 0.0461808 | + | 0.0105405i | 0.245549 | − | 0.969384i | \(-0.421032\pi\) |
−0.199368 | + | 0.979925i | \(0.563889\pi\) | |||||||
\(740\) | −1.26259 | − | 0.288177i | −0.0464136 | − | 0.0105936i | ||||
\(741\) | −12.9451 | + | 16.2327i | −0.475551 | + | 0.596322i | ||||
\(742\) | 16.3168i | 0.599009i | ||||||||
\(743\) | −7.72216 | − | 6.15822i | −0.283299 | − | 0.225923i | 0.471522 | − | 0.881854i | \(-0.343705\pi\) |
−0.754821 | + | 0.655931i | \(0.772276\pi\) | |||||||
\(744\) | −11.3184 | − | 23.5029i | −0.414953 | − | 0.861659i | ||||
\(745\) | −6.79004 | − | 8.51444i | −0.248768 | − | 0.311945i | ||||
\(746\) | 0.562249 | − | 0.448379i | 0.0205854 | − | 0.0164163i | ||||
\(747\) | −12.4046 | − | 5.97375i | −0.453861 | − | 0.218568i | ||||
\(748\) | 0.368414 | − | 1.61413i | 0.0134705 | − | 0.0590183i | ||||
\(749\) | −3.90114 | − | 17.0920i | −0.142545 | − | 0.624529i | ||||
\(750\) | −18.2267 | + | 8.77752i | −0.665545 | + | 0.320510i | ||||
\(751\) | −9.42062 | + | 19.5621i | −0.343763 | + | 0.713832i | −0.999140 | − | 0.0414706i | \(-0.986796\pi\) |
0.655376 | + | 0.755302i | \(0.272510\pi\) | |||||||
\(752\) | 0.811761 | − | 0.185279i | 0.0296019 | − | 0.00675643i | ||||
\(753\) | 77.2592 | 2.81548 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −3.68086 | −0.133960 | ||||||||
\(756\) | 10.2107 | − | 2.33052i | 0.371359 | − | 0.0847604i | ||||
\(757\) | −10.2601 | + | 21.3054i | −0.372911 | + | 0.774358i | −0.999989 | − | 0.00459848i | \(-0.998536\pi\) |
0.627078 | + | 0.778956i | \(0.284251\pi\) | |||||||
\(758\) | −3.29797 | + | 1.58822i | −0.119788 | + | 0.0576867i | ||||
\(759\) | 0.510861 | + | 2.23823i | 0.0185431 | + | 0.0812426i | ||||
\(760\) | 0.574340 | − | 2.51635i | 0.0208335 | − | 0.0912775i | ||||
\(761\) | 45.7049 | + | 22.0103i | 1.65680 | + | 0.797874i | 0.999001 | + | 0.0446823i | \(0.0142276\pi\) |
0.657801 | + | 0.753192i | \(0.271487\pi\) | |||||||
\(762\) | −58.5313 | + | 46.6772i | −2.12037 | + | 1.69094i | ||||
\(763\) | −12.5689 | − | 15.7610i | −0.455026 | − | 0.570585i | ||||
\(764\) | 2.15711 | + | 4.47929i | 0.0780415 | + | 0.162055i | ||||
\(765\) | 5.62975 | + | 4.48957i | 0.203544 | + | 0.162321i | ||||
\(766\) | − | 38.5921i | − | 1.39439i | ||||||
\(767\) | 25.4974 | − | 31.9728i | 0.920660 | − | 1.15447i | ||||
\(768\) | −26.4567 | − | 6.03858i | −0.954676 | − | 0.217898i | ||||
\(769\) | −16.2404 | − | 3.70677i | −0.585645 | − | 0.133670i | −0.0805756 | − | 0.996748i | \(-0.525676\pi\) |
−0.505069 | + | 0.863079i | \(0.668533\pi\) | |||||||
\(770\) | −2.19409 | + | 2.75130i | −0.0790694 | + | 0.0991499i | ||||
\(771\) | 50.8784i | 1.83234i | ||||||||
\(772\) | −6.29893 | − | 5.02323i | −0.226703 | − | 0.180790i | ||||
\(773\) | 14.7799 | + | 30.6907i | 0.531595 | + | 1.10387i | 0.977916 | + | 0.208996i | \(0.0670196\pi\) |
−0.446321 | + | 0.894873i | \(0.647266\pi\) | |||||||
\(774\) | −22.3634 | − | 28.0428i | −0.803835 | − | 1.00798i | ||||
\(775\) | −13.4415 | + | 10.7192i | −0.482833 | + | 0.385047i | ||||
\(776\) | 10.5126 | + | 5.06259i | 0.377380 | + | 0.181736i | ||||
\(777\) | −15.8737 | + | 69.5473i | −0.569466 | + | 2.49499i | ||||
\(778\) | −4.15076 | − | 18.1857i | −0.148812 | − | 0.651989i | ||||
\(779\) | 9.16925 | − | 4.41568i | 0.328522 | − | 0.158208i | ||||
\(780\) | −0.714676 | + | 1.48404i | −0.0255895 | + | 0.0531371i | ||||
\(781\) | −6.44661 | + | 1.47140i | −0.230678 | + | 0.0526507i | ||||
\(782\) | 2.33676 | 0.0835624 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −21.5790 | −0.770680 | ||||||||
\(785\) | 1.62202 | − | 0.370214i | 0.0578922 | − | 0.0132135i | ||||
\(786\) | −21.4997 | + | 44.6446i | −0.766869 | + | 1.59242i | ||||
\(787\) | 0.356132 | − | 0.171504i | 0.0126947 | − | 0.00611346i | −0.427526 | − | 0.904003i | \(-0.640615\pi\) |
0.440220 | + | 0.897890i | \(0.354900\pi\) | |||||||
\(788\) | −0.778697 | − | 3.41169i | −0.0277399 | − | 0.121537i | ||||
\(789\) | 3.28219 | − | 14.3802i | 0.116849 | − | 0.511949i | ||||
\(790\) | −8.77434 | − | 4.22550i | −0.312177 | − | 0.150336i | ||||
\(791\) | −30.9362 | + | 24.6708i | −1.09996 | + | 0.877193i | ||||
\(792\) | 12.7029 | + | 15.9289i | 0.451378 | + | 0.566010i | ||||
\(793\) | 2.52841 | + | 5.25031i | 0.0897866 | + | 0.186444i | ||||
\(794\) | −31.5556 | − | 25.1648i | −1.11987 | − | 0.893064i | ||||
\(795\) | 4.11401i | 0.145909i | ||||||||
\(796\) | −3.55166 | + | 4.45364i | −0.125885 | + | 0.157855i | ||||
\(797\) | −28.8663 | − | 6.58853i | −1.02250 | − | 0.233378i | −0.321777 | − | 0.946816i | \(-0.604280\pi\) |
−0.700719 | + | 0.713438i | \(0.747137\pi\) | |||||||
\(798\) | 34.6800 | + | 7.91548i | 1.22766 | + | 0.280205i | ||||
\(799\) | −0.315942 | + | 0.396178i | −0.0111772 | + | 0.0140158i | ||||
\(800\) | 10.7004i | 0.378316i | ||||||||
\(801\) | 59.1999 | + | 47.2103i | 2.09172 | + | 1.66809i | ||||
\(802\) | −18.5116 | − | 38.4397i | −0.653667 | − | 1.35735i | ||||
\(803\) | 7.55800 | + | 9.47743i | 0.266716 | + | 0.334451i | ||||
\(804\) | 11.1774 | − | 8.91371i | 0.394198 | − | 0.314362i | ||||
\(805\) | −0.746217 | − | 0.359359i | −0.0263007 | − | 0.0126657i | ||||
\(806\) | −3.81630 | + | 16.7203i | −0.134423 | + | 0.588948i | ||||
\(807\) | 14.2894 | + | 62.6060i | 0.503011 | + | 2.20384i | ||||
\(808\) | 31.3134 | − | 15.0797i | 1.10160 | − | 0.530503i | ||||
\(809\) | 3.88170 | − | 8.06043i | 0.136473 | − | 0.283390i | −0.821520 | − | 0.570179i | \(-0.806874\pi\) |
0.957994 | + | 0.286790i | \(0.0925880\pi\) | |||||||
\(810\) | 3.88452 | − | 0.886617i | 0.136488 | − | 0.0311525i | ||||
\(811\) | 18.3209 | 0.643333 | 0.321667 | − | 0.946853i | \(-0.395757\pi\) | ||||
0.321667 | + | 0.946853i | \(0.395757\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −22.9035 | −0.803262 | ||||||||
\(814\) | 15.7557 | − | 3.59614i | 0.552237 | − | 0.126045i | ||||
\(815\) | 3.50489 | − | 7.27797i | 0.122771 | − | 0.254936i | ||||
\(816\) | 34.6485 | − | 16.6858i | 1.21294 | − | 0.584120i | ||||
\(817\) | −2.10408 | − | 9.21857i | −0.0736124 | − | 0.322517i | ||||
\(818\) | 6.17064 | − | 27.0354i | 0.215751 | − | 0.945269i | ||||
\(819\) | 53.2703 | + | 25.6536i | 1.86142 | + | 0.896410i | ||||
\(820\) | 0.631242 | − | 0.503399i | 0.0220439 | − | 0.0175794i | ||||
\(821\) | 31.7046 | + | 39.7563i | 1.10650 | + | 1.38750i | 0.913760 | + | 0.406255i | \(0.133165\pi\) |
0.192738 | + | 0.981250i | \(0.438263\pi\) | |||||||
\(822\) | 22.5754 | + | 46.8784i | 0.787409 | + | 1.63507i | ||||
\(823\) | −0.262275 | − | 0.209158i | −0.00914235 | − | 0.00729078i | 0.618908 | − | 0.785464i | \(-0.287575\pi\) |
−0.628050 | + | 0.778173i | \(0.716147\pi\) | |||||||
\(824\) | − | 21.3323i | − | 0.743145i | ||||||
\(825\) | 12.8471 | − | 16.1098i | 0.447279 | − | 0.560870i | ||||
\(826\) | −68.3077 | − | 15.5908i | −2.37673 | − | 0.542473i | ||||
\(827\) | 24.7325 | + | 5.64503i | 0.860033 | + | 0.196297i | 0.629723 | − | 0.776820i | \(-0.283169\pi\) |
0.230311 | + | 0.973117i | \(0.426026\pi\) | |||||||
\(828\) | 0.748036 | − | 0.938008i | 0.0259961 | − | 0.0325980i | ||||
\(829\) | − | 46.0845i | − | 1.60058i | −0.599613 | − | 0.800290i | \(-0.704679\pi\) | ||
0.599613 | − | 0.800290i | \(-0.295321\pi\) | |||||||
\(830\) | −1.35004 | − | 1.07662i | −0.0468606 | − | 0.0373701i | ||||
\(831\) | −2.30842 | − | 4.79348i | −0.0800781 | − | 0.166284i | ||||
\(832\) | −11.2044 | − | 14.0499i | −0.388444 | − | 0.487094i | ||||
\(833\) | 10.2676 | − | 8.18810i | 0.355750 | − | 0.283701i | ||||
\(834\) | 78.2403 | + | 37.6785i | 2.70924 | + | 1.30470i | ||||
\(835\) | 1.08883 | − | 4.77047i | 0.0376804 | − | 0.165089i | ||||
\(836\) | −0.299031 | − | 1.31014i | −0.0103422 | − | 0.0453122i | ||||
\(837\) | 24.7719 | − | 11.9295i | 0.856241 | − | 0.412344i | ||||
\(838\) | 1.82052 | − | 3.78035i | 0.0628889 | − | 0.130590i | ||||
\(839\) | −27.3134 | + | 6.23410i | −0.942963 | + | 0.215225i | −0.666251 | − | 0.745728i | \(-0.732102\pi\) |
−0.276712 | + | 0.960953i | \(0.589245\pi\) | |||||||
\(840\) | −11.2791 | −0.389168 | ||||||||
\(841\) | 0 | 0 | ||||||||
\(842\) | −21.5820 | −0.743764 | ||||||||
\(843\) | 36.6177 | − | 8.35775i | 1.26118 | − | 0.287856i | ||||
\(844\) | 0.140316 | − | 0.291369i | 0.00482988 | − | 0.0100293i | ||||
\(845\) | 1.42179 | − | 0.684700i | 0.0489112 | − | 0.0235544i | ||||
\(846\) | 0.347173 | + | 1.52106i | 0.0119361 | + | 0.0522953i | ||||
\(847\) | −6.72524 | + | 29.4652i | −0.231082 | + | 1.01244i | ||||
\(848\) | 12.9001 | + | 6.21237i | 0.442992 | + | 0.213334i | ||||
\(849\) | 46.8691 | − | 37.3768i | 1.60854 | − | 1.28277i | ||||
\(850\) | −13.0764 | − | 16.3973i | −0.448516 | − | 0.562421i | ||||
\(851\) | 1.65033 | + | 3.42694i | 0.0565724 | + | 0.117474i | ||||
\(852\) | 4.14584 | + | 3.30620i | 0.142034 | + | 0.113269i | ||||
\(853\) | − | 24.6397i | − | 0.843646i | −0.906678 | − | 0.421823i | \(-0.861390\pi\) | ||
0.906678 | − | 0.421823i | \(-0.138610\pi\) | |||||||
\(854\) | 6.22492 | − | 7.80581i | 0.213013 | − | 0.267109i | ||||
\(855\) | 5.69809 | + | 1.30055i | 0.194870 | + | 0.0444779i | ||||
\(856\) | −12.4109 | − | 2.83271i | −0.424196 | − | 0.0968199i | ||||
\(857\) | −27.5007 | + | 34.4848i | −0.939408 | + | 1.17798i | 0.0444473 | + | 0.999012i | \(0.485847\pi\) |
−0.983855 | + | 0.178968i | \(0.942724\pi\) | |||||||
\(858\) | − | 20.5548i | − | 0.701729i | ||||||
\(859\) | 6.55521 | + | 5.22760i | 0.223661 | + | 0.178364i | 0.728909 | − | 0.684610i | \(-0.240028\pi\) |
−0.505248 | + | 0.862974i | \(0.668599\pi\) | |||||||
\(860\) | −0.325479 | − | 0.675865i | −0.0110988 | − | 0.0230468i | ||||
\(861\) | −27.7288 | − | 34.7708i | −0.944996 | − | 1.18499i | ||||
\(862\) | −15.9035 | + | 12.6826i | −0.541675 | + | 0.431972i | ||||
\(863\) | 34.3526 | + | 16.5433i | 1.16938 | + | 0.563141i | 0.914798 | − | 0.403911i | \(-0.132349\pi\) |
0.254577 | + | 0.967053i | \(0.418064\pi\) | |||||||
\(864\) | 3.80789 | − | 16.6835i | 0.129547 | − | 0.567583i | ||||
\(865\) | 0.515861 | + | 2.26014i | 0.0175398 | + | 0.0768470i | ||||
\(866\) | 7.87317 | − | 3.79152i | 0.267541 | − | 0.128841i | ||||
\(867\) | 11.4914 | − | 23.8622i | 0.390269 | − | 0.810401i | ||||
\(868\) | 4.77700 | − | 1.09032i | 0.162142 | − | 0.0370079i | ||||
\(869\) | 20.2658 | 0.687469 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 37.5664 | 1.27289 | ||||||||
\(872\) | −14.2709 | + | 3.25724i | −0.483274 | + | 0.110304i | ||||
\(873\) | −11.4639 | + | 23.8050i | −0.387993 | + | 0.805677i | ||||
\(874\) | 1.70885 | − | 0.822941i | 0.0578028 | − | 0.0278364i | ||||
\(875\) | 3.37949 | + | 14.8065i | 0.114248 | + | 0.500552i | ||||
\(876\) | 2.16316 | − | 9.47743i | 0.0730864 | − | 0.320213i | ||||
\(877\) | 22.1065 | + | 10.6460i | 0.746485 | + | 0.359488i | 0.768144 | − | 0.640277i | \(-0.221181\pi\) |
−0.0216589 | + | 0.999765i | \(0.506895\pi\) | |||||||
\(878\) | 29.4410 | − | 23.4784i | 0.993587 | − | 0.792359i | ||||
\(879\) | 11.3234 | + | 14.1990i | 0.381927 | + | 0.478922i | ||||
\(880\) | 1.33982 | + | 2.78217i | 0.0451653 | + | 0.0937868i | ||||
\(881\) | −41.2787 | − | 32.9187i | −1.39071 | − | 1.10906i | −0.980379 | − | 0.197124i | \(-0.936840\pi\) |
−0.410336 | − | 0.911934i | \(-0.634589\pi\) | |||||||
\(882\) | − | 40.4344i | − | 1.36150i | ||||||
\(883\) | 3.56366 | − | 4.46869i | 0.119927 | − | 0.150383i | −0.718244 | − | 0.695791i | \(-0.755054\pi\) |
0.838171 | + | 0.545408i | \(0.183625\pi\) | |||||||
\(884\) | −3.40133 | − | 0.776331i | −0.114399 | − | 0.0261109i | ||||
\(885\) | −17.2226 | − | 3.93095i | −0.578932 | − | 0.132137i | ||||
\(886\) | 10.5692 | − | 13.2534i | 0.355081 | − | 0.445257i | ||||
\(887\) | 34.2192i | 1.14897i | 0.818515 | + | 0.574485i | \(0.194798\pi\) | ||||
−0.818515 | + | 0.574485i | \(0.805202\pi\) | |||||||
\(888\) | 40.4977 | + | 32.2958i | 1.35901 | + | 1.08378i | ||||
\(889\) | 24.3854 | + | 50.6369i | 0.817861 | + | 1.69831i | ||||
\(890\) | 5.92104 | + | 7.42474i | 0.198474 | + | 0.248878i | ||||
\(891\) | −6.48242 | + | 5.16955i | −0.217169 | + | 0.173187i | ||||
\(892\) | 4.11195 | + | 1.98021i | 0.137678 | + | 0.0663023i | ||||
\(893\) | −0.0915228 | + | 0.400988i | −0.00306269 | + | 0.0134185i | ||||
\(894\) | −24.2511 | − | 106.251i | −0.811078 | − | 3.55357i | ||||
\(895\) | 3.51627 | − | 1.69335i | 0.117536 | − | 0.0566023i | ||||
\(896\) | −19.9704 | + | 41.4689i | −0.667164 | + | 1.38538i | ||||
\(897\) | 4.71646 | − | 1.07650i | 0.157478 | − | 0.0359433i | ||||
\(898\) | −3.79455 | −0.126626 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −10.7681 | −0.358935 | ||||||||
\(901\) | −8.49529 | + | 1.93899i | −0.283019 | + | 0.0645973i | ||||
\(902\) | −4.37153 | + | 9.07758i | −0.145556 | + | 0.302250i | ||||
\(903\) | −37.2288 | + | 17.9284i | −1.23890 | + | 0.596621i | ||||
\(904\) | 6.39344 | + | 28.0115i | 0.212643 | + | 0.931648i | ||||
\(905\) | −0.941440 | + | 4.12472i | −0.0312945 | + | 0.137110i | ||||
\(906\) | −33.1877 | − | 15.9823i | −1.10259 | − | 0.530978i | ||||
\(907\) | −36.8123 | + | 29.3568i | −1.22233 | + | 0.974776i | −1.00000 | 0.000194848i | \(-0.999938\pi\) | |
−0.222331 | + | 0.974971i | \(0.571367\pi\) | |||||||
\(908\) | 4.71571 | + | 5.91332i | 0.156496 | + | 0.196240i | ||||
\(909\) | 34.1469 | + | 70.9069i | 1.13258 | + | 2.35183i | ||||
\(910\) | 5.79761 | + | 4.62344i | 0.192189 | + | 0.153266i | ||||
\(911\) | 49.7296i | 1.64761i | 0.566870 | + | 0.823807i | \(0.308154\pi\) | ||||
−0.566870 | + | 0.823807i | \(0.691846\pi\) | |||||||
\(912\) | 19.4619 | − | 24.4044i | 0.644447 | − | 0.808111i | ||||
\(913\) | 3.50320 | + | 0.799583i | 0.115939 | + | 0.0264623i | ||||
\(914\) | −31.0669 | − | 7.09082i | −1.02760 | − | 0.234544i | ||||
\(915\) | 1.56951 | − | 1.96810i | 0.0518864 | − | 0.0650634i | ||||
\(916\) | 9.77782i | 0.323068i | ||||||||
\(917\) | 29.0840 | + | 23.1937i | 0.960438 | + | 0.765924i | ||||
\(918\) | 14.5528 | + | 30.2191i | 0.480313 | + | 0.997379i | ||||
\(919\) | −3.57460 | − | 4.48240i | −0.117915 | − | 0.147861i | 0.719371 | − | 0.694626i | \(-0.244430\pi\) |
−0.837286 | + | 0.546766i | \(0.815859\pi\) | |||||||
\(920\) | −0.470195 | + | 0.374968i | −0.0155019 | + | 0.0123623i | ||||
\(921\) | −8.30225 | − | 3.99815i | −0.273568 | − | 0.131744i | ||||
\(922\) | 5.81496 | − | 25.4770i | 0.191506 | − | 0.839041i | ||||
\(923\) | 3.10057 | + | 13.5845i | 0.102057 | + | 0.447139i | ||||
\(924\) | −5.29095 | + | 2.54799i | −0.174060 | + | 0.0838226i | ||||
\(925\) | 14.8120 | − | 30.7574i | 0.487015 | − | 1.01130i | ||||
\(926\) | −18.7069 | + | 4.26972i | −0.614746 | + | 0.140312i | ||||
\(927\) | 48.3054 | 1.58656 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −7.62389 | −0.250132 | −0.125066 | − | 0.992148i | \(-0.539914\pi\) | ||||
−0.125066 | + | 0.992148i | \(0.539914\pi\) | |||||||
\(930\) | 7.22277 | − | 1.64855i | 0.236844 | − | 0.0540581i | ||||
\(931\) | 4.62496 | − | 9.60383i | 0.151577 | − | 0.314753i | ||||
\(932\) | 7.30338 | − | 3.51712i | 0.239230 | − | 0.115207i | ||||
\(933\) | 4.69591 | + | 20.5741i | 0.153737 | + | 0.673566i | ||||
\(934\) | −8.74723 | + | 38.3241i | −0.286218 | + | 1.25400i | ||||
\(935\) | −1.69319 | − | 0.815396i | −0.0553731 | − | 0.0266663i | ||||
\(936\) | 33.5659 | − | 26.7679i | 1.09714 | − | 0.874936i | ||||
\(937\) | −10.1543 | − | 12.7331i | −0.331728 | − | 0.415974i | 0.587795 | − | 0.809010i | \(-0.299996\pi\) |
−0.919523 | + | 0.393036i | \(0.871425\pi\) | |||||||
\(938\) | −27.9256 | − | 57.9882i | −0.911804 | − | 1.89338i | ||||
\(939\) | −4.76561 | − | 3.80045i | −0.155520 | − | 0.124023i | ||||
\(940\) | 0.0326300i | 0.00106427i | ||||||||
\(941\) | −22.5124 | + | 28.2297i | −0.733885 | + | 0.920262i | −0.999034 | − | 0.0439450i | \(-0.986007\pi\) |
0.265149 | + | 0.964207i | \(0.414579\pi\) | |||||||
\(942\) | 16.2320 | + | 3.70486i | 0.528868 | + | 0.120711i | ||||
\(943\) | −2.31187 | − | 0.527669i | −0.0752848 | − | 0.0171833i | ||||
\(944\) | −38.3332 | + | 48.0683i | −1.24764 | + | 1.56449i | ||||
\(945\) | − | 11.8881i | − | 0.386721i | ||||||
\(946\) | 7.31881 | + | 5.83656i | 0.237955 | + | 0.189763i | ||||
\(947\) | −4.84024 | − | 10.0509i | −0.157287 | − | 0.326609i | 0.807402 | − | 0.590002i | \(-0.200873\pi\) |
−0.964689 | + | 0.263392i | \(0.915159\pi\) | |||||||
\(948\) | −10.1329 | − | 12.7062i | −0.329101 | − | 0.412680i | ||||
\(949\) | 19.9711 | − | 15.9264i | 0.648289 | − | 0.516993i | ||||
\(950\) | −15.3373 | − | 7.38605i | −0.497608 | − | 0.239635i | ||||
\(951\) | −4.04445 | + | 17.7199i | −0.131150 | + | 0.574606i | ||||
\(952\) | −5.31604 | − | 23.2911i | −0.172294 | − | 0.754868i | ||||
\(953\) | 41.6558 | − | 20.0604i | 1.34936 | − | 0.649820i | 0.387126 | − | 0.922027i | \(-0.373468\pi\) |
0.962239 | + | 0.272207i | \(0.0877535\pi\) | |||||||
\(954\) | −11.6406 | + | 24.1720i | −0.376880 | + | 0.782598i | ||||
\(955\) | 5.50176 | − | 1.25574i | 0.178033 | − | 0.0406348i | ||||
\(956\) | 2.65342 | 0.0858176 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 23.6294 | 0.763431 | ||||||||
\(959\) | 38.0818 | − | 8.69192i | 1.22972 | − | 0.280677i | ||||
\(960\) | −3.36817 | + | 6.99407i | −0.108707 | + | 0.225733i | ||||
\(961\) | −16.3407 | + | 7.86926i | −0.527119 | + | 0.253847i | ||||
\(962\) | −7.57788 | − | 33.2009i | −0.244321 | − | 1.07044i | ||||
\(963\) | 6.41446 | − | 28.1036i | 0.206703 | − | 0.905625i | ||||
\(964\) | 0.410456 | + | 0.197665i | 0.0132199 | + | 0.00636636i | ||||
\(965\) | −7.14985 | + | 5.70181i | −0.230162 | + | 0.183548i | ||||
\(966\) | −5.16776 | − | 6.48017i | −0.166270 | − | 0.208496i | ||||
\(967\) | −16.7042 | − | 34.6867i | −0.537172 | − | 1.11545i | −0.976179 | − | 0.216966i | \(-0.930384\pi\) |
0.439007 | − | 0.898484i | \(-0.355330\pi\) | |||||||
\(968\) | 17.1577 | + | 13.6828i | 0.551470 | + | 0.439783i | ||||
\(969\) | 18.9966i | 0.610260i | ||||||||
\(970\) | −2.06608 | + | 2.59079i | −0.0663380 | + | 0.0831852i | ||||
\(971\) | 45.7586 | + | 10.4441i | 1.46846 | + | 0.335167i | 0.880626 | − | 0.473812i | \(-0.157122\pi\) |
0.587837 | + | 0.808979i | \(0.299979\pi\) | |||||||
\(972\) | −2.49202 | − | 0.568788i | −0.0799317 | − | 0.0182439i | ||||
\(973\) | 40.6473 | − | 50.9701i | 1.30309 | − | 1.63403i | ||||
\(974\) | − | 0.819869i | − | 0.0262703i | ||||||
\(975\) | −33.9469 | − | 27.0718i | −1.08717 | − | 0.866991i | ||||
\(976\) | −3.80125 | − | 7.89338i | −0.121675 | − | 0.252661i | ||||
\(977\) | 17.8151 | + | 22.3394i | 0.569956 | + | 0.714702i | 0.980363 | − | 0.197200i | \(-0.0631849\pi\) |
−0.410407 | + | 0.911902i | \(0.634613\pi\) | |||||||
\(978\) | 63.2022 | − | 50.4020i | 2.02098 | − | 1.61168i | ||||
\(979\) | −17.8048 | − | 8.57433i | −0.569044 | − | 0.274037i | ||||
\(980\) | 0.188176 | − | 0.824453i | 0.00601107 | − | 0.0263362i | ||||
\(981\) | −7.37579 | − | 32.3154i | −0.235491 | − | 1.03175i | ||||
\(982\) | −26.7294 | + | 12.8722i | −0.852968 | + | 0.410768i | ||||
\(983\) | −16.9045 | + | 35.1025i | −0.539169 | + | 1.11960i | 0.436369 | + | 0.899768i | \(0.356264\pi\) |
−0.975539 | + | 0.219829i | \(0.929450\pi\) | |||||||
\(984\) | −31.4836 | + | 7.18592i | −1.00366 | + | 0.229079i | ||||
\(985\) | −3.97217 | −0.126564 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.79737 | 0.0572108 | ||||||||
\(988\) | −2.76077 | + | 0.630127i | −0.0878317 | + | 0.0200470i | ||||
\(989\) | −0.955942 | + | 1.98503i | −0.0303972 | + | 0.0631204i | ||||
\(990\) | −5.21318 | + | 2.51053i | −0.165686 | + | 0.0797900i | ||||
\(991\) | −0.0727488 | − | 0.318733i | −0.00231094 | − | 0.0101249i | 0.973759 | − | 0.227580i | \(-0.0730814\pi\) |
−0.976070 | + | 0.217455i | \(0.930224\pi\) | |||||||
\(992\) | 1.78150 | − | 7.80524i | 0.0565626 | − | 0.247817i | ||||
\(993\) | −7.40915 | − | 3.56806i | −0.235122 | − | 0.113229i | ||||
\(994\) | 18.6644 | − | 14.8843i | 0.591998 | − | 0.472103i | ||||
\(995\) | 4.03145 | + | 5.05528i | 0.127806 | + | 0.160263i | ||||
\(996\) | −1.25028 | − | 2.59623i | −0.0396166 | − | 0.0822647i | ||||
\(997\) | 18.0682 | + | 14.4089i | 0.572227 | + | 0.456336i | 0.866354 | − | 0.499431i | \(-0.166457\pi\) |
−0.294127 | + | 0.955766i | \(0.595029\pi\) | |||||||
\(998\) | − | 21.1341i | − | 0.668988i | ||||||
\(999\) | −34.0395 | + | 42.6842i | −1.07696 | + | 1.35047i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))