Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [961,2,Mod(374,961)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(961, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("961.374");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 961 = 31^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 961.d (of order \(5\), degree \(4\), 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: | \(7.67362363425\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.64000000.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 2x^{6} + 4x^{4} + 8x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 531.2 | ||
Root | \(-1.14412 - 0.831254i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 961.531 |
Dual form | 961.2.d.l.628.2 |
$q$-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 \(\left(\mathbb{Z}/961\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.127999 | + | 0.393941i | 0.0905090 | + | 0.278558i | 0.986057 | − | 0.166406i | \(-0.0532163\pi\) |
−0.895548 | + | 0.444964i | \(0.853216\pi\) | |||||||
\(3\) | 0.127999 | − | 0.393941i | 0.0739003 | − | 0.227442i | −0.907283 | − | 0.420521i | \(-0.861847\pi\) |
0.981183 | + | 0.193079i | \(0.0618474\pi\) | |||||||
\(4\) | 1.47923 | − | 1.07472i | 0.739614 | − | 0.537361i | ||||
\(5\) | 1.00000 | 0.447214 | 0.223607 | − | 0.974679i | \(-0.428217\pi\) | ||||
0.223607 | + | 0.974679i | \(0.428217\pi\) | |||||||
\(6\) | 0.171573 | 0.0700443 | ||||||||
\(7\) | 0.335106 | − | 0.243469i | 0.126658 | − | 0.0920225i | −0.522653 | − | 0.852546i | \(-0.675058\pi\) |
0.649311 | + | 0.760523i | \(0.275058\pi\) | |||||||
\(8\) | 1.28293 | + | 0.932102i | 0.453584 | + | 0.329548i | ||||
\(9\) | 2.28825 | + | 1.66251i | 0.762749 | + | 0.554169i | ||||
\(10\) | 0.127999 | + | 0.393941i | 0.0404768 | + | 0.124575i | ||||
\(11\) | −2.62335 | + | 1.90598i | −0.790970 | + | 0.574673i | −0.908251 | − | 0.418425i | \(-0.862582\pi\) |
0.117281 | + | 0.993099i | \(0.462582\pi\) | |||||||
\(12\) | −0.234037 | − | 0.720292i | −0.0675606 | − | 0.207930i | ||||
\(13\) | −1.18305 | + | 3.64105i | −0.328119 | + | 1.00985i | 0.641894 | + | 0.766793i | \(0.278149\pi\) |
−0.970013 | + | 0.243053i | \(0.921851\pi\) | |||||||
\(14\) | 0.138805 | + | 0.100848i | 0.0370973 | + | 0.0269528i | ||||
\(15\) | 0.127999 | − | 0.393941i | 0.0330492 | − | 0.101715i | ||||
\(16\) | 0.927051 | − | 2.85317i | 0.231763 | − | 0.713292i | ||||
\(17\) | 4.71530 | + | 3.42586i | 1.14363 | + | 0.830894i | 0.987621 | − | 0.156862i | \(-0.0501378\pi\) |
0.156007 | + | 0.987756i | \(0.450138\pi\) | |||||||
\(18\) | −0.362036 | + | 1.11423i | −0.0853327 | + | 0.262627i | ||||
\(19\) | 1.36407 | + | 4.19817i | 0.312938 | + | 0.963125i | 0.976595 | + | 0.215088i | \(0.0690038\pi\) |
−0.663656 | + | 0.748038i | \(0.730996\pi\) | |||||||
\(20\) | 1.47923 | − | 1.07472i | 0.330766 | − | 0.240315i | ||||
\(21\) | −0.0530189 | − | 0.163176i | −0.0115697 | − | 0.0356078i | ||||
\(22\) | −1.08663 | − | 0.789481i | −0.231670 | − | 0.168318i | ||||
\(23\) | 3.23607 | + | 2.35114i | 0.674767 | + | 0.490247i | 0.871617 | − | 0.490187i | \(-0.163071\pi\) |
−0.196851 | + | 0.980433i | \(0.563071\pi\) | |||||||
\(24\) | 0.531406 | − | 0.386089i | 0.108473 | − | 0.0788101i | ||||
\(25\) | −4.00000 | −0.800000 | ||||||||
\(26\) | −1.58579 | −0.310998 | ||||||||
\(27\) | 1.95314 | − | 1.41904i | 0.375882 | − | 0.273094i | ||||
\(28\) | 0.234037 | − | 0.720292i | 0.0442288 | − | 0.136122i | ||||
\(29\) | −2.11010 | − | 6.49422i | −0.391836 | − | 1.20595i | −0.931399 | − | 0.364001i | \(-0.881410\pi\) |
0.539563 | − | 0.841945i | \(-0.318590\pi\) | |||||||
\(30\) | 0.171573 | 0.0313248 | ||||||||
\(31\) | 0 | 0 | ||||||||
\(32\) | 4.41421 | 0.780330 | ||||||||
\(33\) | 0.415055 | + | 1.27741i | 0.0722518 | + | 0.222368i | ||||
\(34\) | −0.746033 | + | 2.29605i | −0.127944 | + | 0.393770i | ||||
\(35\) | 0.335106 | − | 0.243469i | 0.0566432 | − | 0.0411537i | ||||
\(36\) | 5.17157 | 0.861929 | ||||||||
\(37\) | 1.00000 | 0.164399 | 0.0821995 | − | 0.996616i | \(-0.473806\pi\) | ||||
0.0821995 | + | 0.996616i | \(0.473806\pi\) | |||||||
\(38\) | −1.47923 | + | 1.07472i | −0.239963 | + | 0.174343i | ||||
\(39\) | 1.28293 | + | 0.932102i | 0.205433 | + | 0.149256i | ||||
\(40\) | 1.28293 | + | 0.932102i | 0.202849 | + | 0.147378i | ||||
\(41\) | −2.31308 | − | 7.11893i | −0.361242 | − | 1.11179i | −0.952301 | − | 0.305161i | \(-0.901290\pi\) |
0.591059 | − | 0.806629i | \(-0.298710\pi\) | |||||||
\(42\) | 0.0574951 | − | 0.0417726i | 0.00887168 | − | 0.00644565i | ||||
\(43\) | −3.36813 | − | 10.3660i | −0.513635 | − | 1.58081i | −0.785752 | − | 0.618542i | \(-0.787724\pi\) |
0.272117 | − | 0.962264i | \(-0.412276\pi\) | |||||||
\(44\) | −1.83214 | + | 5.63875i | −0.276206 | + | 0.850073i | ||||
\(45\) | 2.28825 | + | 1.66251i | 0.341112 | + | 0.247832i | ||||
\(46\) | −0.511996 | + | 1.57576i | −0.0754897 | + | 0.232333i | ||||
\(47\) | 2.98413 | − | 9.18421i | 0.435280 | − | 1.33966i | −0.457519 | − | 0.889200i | \(-0.651262\pi\) |
0.892799 | − | 0.450455i | \(-0.148738\pi\) | |||||||
\(48\) | −1.00532 | − | 0.730406i | −0.145105 | − | 0.105425i | ||||
\(49\) | −2.11010 | + | 6.49422i | −0.301443 | + | 0.927746i | ||||
\(50\) | −0.511996 | − | 1.57576i | −0.0724072 | − | 0.222846i | ||||
\(51\) | 1.95314 | − | 1.41904i | 0.273494 | − | 0.198705i | ||||
\(52\) | 2.16312 | + | 6.65740i | 0.299971 | + | 0.923215i | ||||
\(53\) | −4.71530 | − | 3.42586i | −0.647696 | − | 0.470579i | 0.214790 | − | 0.976660i | \(-0.431093\pi\) |
−0.862485 | + | 0.506082i | \(0.831093\pi\) | |||||||
\(54\) | 0.809017 | + | 0.587785i | 0.110093 | + | 0.0799874i | ||||
\(55\) | −2.62335 | + | 1.90598i | −0.353733 | + | 0.257002i | ||||
\(56\) | 0.656854 | 0.0877758 | ||||||||
\(57\) | 1.82843 | 0.242181 | ||||||||
\(58\) | 2.28825 | − | 1.66251i | 0.300461 | − | 0.218298i | ||||
\(59\) | 1.25803 | − | 3.87182i | 0.163781 | − | 0.504067i | −0.835163 | − | 0.550003i | \(-0.814627\pi\) |
0.998944 | + | 0.0459351i | \(0.0146267\pi\) | |||||||
\(60\) | −0.234037 | − | 0.720292i | −0.0302140 | − | 0.0929892i | ||||
\(61\) | −2.82843 | −0.362143 | −0.181071 | − | 0.983470i | \(-0.557957\pi\) | ||||
−0.181071 | + | 0.983470i | \(0.557957\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.17157 | 0.147604 | ||||||||
\(64\) | −1.28909 | − | 3.96740i | −0.161136 | − | 0.495925i | ||||
\(65\) | −1.18305 | + | 3.64105i | −0.146739 | + | 0.451617i | ||||
\(66\) | −0.450096 | + | 0.327014i | −0.0554030 | + | 0.0402526i | ||||
\(67\) | 3.24264 | 0.396152 | 0.198076 | − | 0.980187i | \(-0.436531\pi\) | ||||
0.198076 | + | 0.980187i | \(0.436531\pi\) | |||||||
\(68\) | 10.6569 | 1.29233 | ||||||||
\(69\) | 1.34042 | − | 0.973874i | 0.161368 | − | 0.117241i | ||||
\(70\) | 0.138805 | + | 0.100848i | 0.0165904 | + | 0.0120536i | ||||
\(71\) | −0.0574951 | − | 0.0417726i | −0.00682341 | − | 0.00495750i | 0.584368 | − | 0.811489i | \(-0.301342\pi\) |
−0.591192 | + | 0.806531i | \(0.701342\pi\) | |||||||
\(72\) | 1.38603 | + | 4.26576i | 0.163345 | + | 0.502724i | ||||
\(73\) | 1.47923 | − | 1.07472i | 0.173131 | − | 0.125787i | −0.497845 | − | 0.867266i | \(-0.665875\pi\) |
0.670976 | + | 0.741479i | \(0.265875\pi\) | |||||||
\(74\) | 0.127999 | + | 0.393941i | 0.0148796 | + | 0.0457947i | ||||
\(75\) | −0.511996 | + | 1.57576i | −0.0591202 | + | 0.181953i | ||||
\(76\) | 6.52963 | + | 4.74405i | 0.749000 | + | 0.544180i | ||||
\(77\) | −0.415055 | + | 1.27741i | −0.0472999 | + | 0.145574i | ||||
\(78\) | −0.202979 | + | 0.624706i | −0.0229829 | + | 0.0707340i | ||||
\(79\) | 5.46682 | + | 3.97188i | 0.615065 | + | 0.446871i | 0.851194 | − | 0.524851i | \(-0.175879\pi\) |
−0.236129 | + | 0.971722i | \(0.575879\pi\) | |||||||
\(80\) | 0.927051 | − | 2.85317i | 0.103647 | − | 0.318994i | ||||
\(81\) | 2.31308 | + | 7.11893i | 0.257009 | + | 0.790992i | ||||
\(82\) | 2.50836 | − | 1.82243i | 0.277002 | − | 0.201254i | ||||
\(83\) | −3.11213 | − | 9.57815i | −0.341601 | − | 1.05134i | −0.963378 | − | 0.268145i | \(-0.913589\pi\) |
0.621778 | − | 0.783194i | \(-0.286411\pi\) | |||||||
\(84\) | −0.253796 | − | 0.184393i | −0.0276914 | − | 0.0201190i | ||||
\(85\) | 4.71530 | + | 3.42586i | 0.511446 | + | 0.371587i | ||||
\(86\) | 3.65248 | − | 2.65369i | 0.393857 | − | 0.286154i | ||||
\(87\) | −2.82843 | −0.303239 | ||||||||
\(88\) | −5.14214 | −0.548153 | ||||||||
\(89\) | −3.62867 | + | 2.63638i | −0.384638 | + | 0.279456i | −0.763255 | − | 0.646098i | \(-0.776400\pi\) |
0.378617 | + | 0.925554i | \(0.376400\pi\) | |||||||
\(90\) | −0.362036 | + | 1.11423i | −0.0381619 | + | 0.117450i | ||||
\(91\) | 0.490035 | + | 1.50817i | 0.0513696 | + | 0.158099i | ||||
\(92\) | 7.31371 | 0.762507 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.00000 | 0.412568 | ||||||||
\(95\) | 1.36407 | + | 4.19817i | 0.139950 | + | 0.430723i | ||||
\(96\) | 0.565015 | − | 1.73894i | 0.0576666 | − | 0.177480i | ||||
\(97\) | −4.18389 | + | 3.03977i | −0.424810 | + | 0.308642i | −0.779570 | − | 0.626315i | \(-0.784562\pi\) |
0.354760 | + | 0.934957i | \(0.384562\pi\) | |||||||
\(98\) | −2.82843 | −0.285714 | ||||||||
\(99\) | −9.17157 | −0.921778 | ||||||||
\(100\) | −5.91691 | + | 4.29889i | −0.591691 | + | 0.429889i | ||||
\(101\) | 6.86474 | + | 4.98752i | 0.683067 | + | 0.496277i | 0.874374 | − | 0.485253i | \(-0.161273\pi\) |
−0.191307 | + | 0.981530i | \(0.561273\pi\) | |||||||
\(102\) | 0.809017 | + | 0.587785i | 0.0801046 | + | 0.0581994i | ||||
\(103\) | 0.639995 | + | 1.96970i | 0.0630606 | + | 0.194081i | 0.977623 | − | 0.210364i | \(-0.0674649\pi\) |
−0.914563 | + | 0.404444i | \(0.867465\pi\) | |||||||
\(104\) | −4.91160 | + | 3.56848i | −0.481622 | + | 0.349919i | ||||
\(105\) | −0.0530189 | − | 0.163176i | −0.00517412 | − | 0.0159243i | ||||
\(106\) | 0.746033 | − | 2.29605i | 0.0724611 | − | 0.223012i | ||||
\(107\) | −10.0433 | − | 7.29689i | −0.970923 | − | 0.705417i | −0.0152616 | − | 0.999884i | \(-0.504858\pi\) |
−0.955662 | + | 0.294466i | \(0.904858\pi\) | |||||||
\(108\) | 1.36407 | − | 4.19817i | 0.131257 | − | 0.403969i | ||||
\(109\) | −3.34617 | + | 10.2984i | −0.320505 | + | 0.986412i | 0.652924 | + | 0.757423i | \(0.273542\pi\) |
−0.973429 | + | 0.228989i | \(0.926458\pi\) | |||||||
\(110\) | −1.08663 | − | 0.789481i | −0.103606 | − | 0.0752741i | ||||
\(111\) | 0.127999 | − | 0.393941i | 0.0121491 | − | 0.0373912i | ||||
\(112\) | −0.383997 | − | 1.18182i | −0.0362843 | − | 0.111672i | ||||
\(113\) | −13.4757 | + | 9.79065i | −1.26769 | + | 0.921027i | −0.999108 | − | 0.0422310i | \(-0.986553\pi\) |
−0.268577 | + | 0.963258i | \(0.586553\pi\) | |||||||
\(114\) | 0.234037 | + | 0.720292i | 0.0219196 | + | 0.0674615i | ||||
\(115\) | 3.23607 | + | 2.35114i | 0.301765 | + | 0.219245i | ||||
\(116\) | −10.1008 | − | 7.33866i | −0.937836 | − | 0.681378i | ||||
\(117\) | −8.76038 | + | 6.36479i | −0.809898 | + | 0.588425i | ||||
\(118\) | 1.68629 | 0.155236 | ||||||||
\(119\) | 2.41421 | 0.221311 | ||||||||
\(120\) | 0.531406 | − | 0.386089i | 0.0485105 | − | 0.0352450i | ||||
\(121\) | −0.149960 | + | 0.461530i | −0.0136327 | + | 0.0419573i | ||||
\(122\) | −0.362036 | − | 1.11423i | −0.0327772 | − | 0.100878i | ||||
\(123\) | −3.10051 | −0.279563 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.00000 | −0.804984 | ||||||||
\(126\) | 0.149960 | + | 0.461530i | 0.0133595 | + | 0.0411164i | ||||
\(127\) | 2.75010 | − | 8.46392i | 0.244031 | − | 0.751052i | −0.751763 | − | 0.659434i | \(-0.770796\pi\) |
0.995794 | − | 0.0916180i | \(-0.0292039\pi\) | |||||||
\(128\) | 8.54027 | − | 6.20487i | 0.754860 | − | 0.548438i | ||||
\(129\) | −4.51472 | −0.397499 | ||||||||
\(130\) | −1.58579 | −0.139083 | ||||||||
\(131\) | 10.7135 | − | 7.78383i | 0.936045 | − | 0.680076i | −0.0114206 | − | 0.999935i | \(-0.503635\pi\) |
0.947465 | + | 0.319858i | \(0.103635\pi\) | |||||||
\(132\) | 1.98682 | + | 1.44351i | 0.172930 | + | 0.125641i | ||||
\(133\) | 1.47923 | + | 1.07472i | 0.128265 | + | 0.0931903i | ||||
\(134\) | 0.415055 | + | 1.27741i | 0.0358553 | + | 0.110351i | ||||
\(135\) | 1.95314 | − | 1.41904i | 0.168100 | − | 0.122131i | ||||
\(136\) | 2.85613 | + | 8.79027i | 0.244911 | + | 0.753760i | ||||
\(137\) | 2.93111 | − | 9.02104i | 0.250422 | − | 0.770719i | −0.744275 | − | 0.667873i | \(-0.767205\pi\) |
0.994697 | − | 0.102846i | \(-0.0327950\pi\) | |||||||
\(138\) | 0.555221 | + | 0.403392i | 0.0472636 | + | 0.0343390i | ||||
\(139\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(140\) | 0.234037 | − | 0.720292i | 0.0197797 | − | 0.0608757i | ||||
\(141\) | −3.23607 | − | 2.35114i | −0.272526 | − | 0.198002i | ||||
\(142\) | 0.00909661 | − | 0.0279965i | 0.000763371 | − | 0.00234941i | ||||
\(143\) | −3.83620 | − | 11.8066i | −0.320799 | − | 0.987319i | ||||
\(144\) | 6.86474 | − | 4.98752i | 0.572061 | − | 0.415627i | ||||
\(145\) | −2.11010 | − | 6.49422i | −0.175234 | − | 0.539316i | ||||
\(146\) | 0.612717 | + | 0.445165i | 0.0507088 | + | 0.0368421i | ||||
\(147\) | 2.28825 | + | 1.66251i | 0.188731 | + | 0.137121i | ||||
\(148\) | 1.47923 | − | 1.07472i | 0.121592 | − | 0.0883416i | ||||
\(149\) | 1.00000 | 0.0819232 | 0.0409616 | − | 0.999161i | \(-0.486958\pi\) | ||||
0.0409616 | + | 0.999161i | \(0.486958\pi\) | |||||||
\(150\) | −0.686292 | −0.0560355 | ||||||||
\(151\) | −4.29888 | + | 3.12332i | −0.349838 | + | 0.254172i | −0.748801 | − | 0.662795i | \(-0.769370\pi\) |
0.398963 | + | 0.916967i | \(0.369370\pi\) | |||||||
\(152\) | −2.16312 | + | 6.65740i | −0.175452 | + | 0.539986i | ||||
\(153\) | 5.09423 | + | 15.6784i | 0.411844 | + | 1.26753i | ||||
\(154\) | −0.556349 | −0.0448319 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.89949 | 0.232145 | ||||||||
\(157\) | 2.83417 | + | 8.72268i | 0.226192 | + | 0.696146i | 0.998168 | + | 0.0604954i | \(0.0192681\pi\) |
−0.771977 | + | 0.635651i | \(0.780732\pi\) | |||||||
\(158\) | −0.864935 | + | 2.66200i | −0.0688106 | + | 0.211777i | ||||
\(159\) | −1.95314 | + | 1.41904i | −0.154894 | + | 0.112537i | ||||
\(160\) | 4.41421 | 0.348974 | ||||||||
\(161\) | 1.65685 | 0.130578 | ||||||||
\(162\) | −2.50836 | + | 1.82243i | −0.197075 | + | 0.143184i | ||||
\(163\) | −16.9655 | − | 12.3262i | −1.32884 | − | 0.965462i | −0.999776 | − | 0.0211551i | \(-0.993266\pi\) |
−0.329068 | − | 0.944306i | \(-0.606734\pi\) | |||||||
\(164\) | −11.0724 | − | 8.04460i | −0.864612 | − | 0.628178i | ||||
\(165\) | 0.415055 | + | 1.27741i | 0.0323120 | + | 0.0994460i | ||||
\(166\) | 3.37487 | − | 2.45199i | 0.261941 | − | 0.190311i | ||||
\(167\) | 6.97030 | + | 21.4524i | 0.539378 | + | 1.66003i | 0.733995 | + | 0.679155i | \(0.237653\pi\) |
−0.194618 | + | 0.980879i | \(0.562347\pi\) | |||||||
\(168\) | 0.0840767 | − | 0.258761i | 0.00648666 | − | 0.0199639i | ||||
\(169\) | −1.34042 | − | 0.973874i | −0.103109 | − | 0.0749134i | ||||
\(170\) | −0.746033 | + | 2.29605i | −0.0572181 | + | 0.176099i | ||||
\(171\) | −3.85816 | + | 11.8742i | −0.295041 | + | 0.908043i | ||||
\(172\) | −16.1228 | − | 11.7139i | −1.22936 | − | 0.893179i | ||||
\(173\) | 2.56908 | − | 7.90681i | 0.195323 | − | 0.601143i | −0.804649 | − | 0.593750i | \(-0.797647\pi\) |
0.999973 | − | 0.00739307i | \(-0.00235331\pi\) | |||||||
\(174\) | −0.362036 | − | 1.11423i | −0.0274459 | − | 0.0844697i | ||||
\(175\) | −1.34042 | + | 0.973874i | −0.101326 | + | 0.0736180i | ||||
\(176\) | 3.00609 | + | 9.25180i | 0.226593 | + | 0.697381i | ||||
\(177\) | −1.36424 | − | 0.991177i | −0.102542 | − | 0.0745014i | ||||
\(178\) | −1.50304 | − | 1.09203i | −0.112658 | − | 0.0818508i | ||||
\(179\) | 12.3316 | − | 8.95940i | 0.921704 | − | 0.669657i | −0.0222438 | − | 0.999753i | \(-0.507081\pi\) |
0.943947 | + | 0.330096i | \(0.107081\pi\) | |||||||
\(180\) | 5.17157 | 0.385466 | ||||||||
\(181\) | 12.3137 | 0.915271 | 0.457635 | − | 0.889140i | \(-0.348697\pi\) | ||||
0.457635 | + | 0.889140i | \(0.348697\pi\) | |||||||
\(182\) | −0.531406 | + | 0.386089i | −0.0393905 | + | 0.0286188i | ||||
\(183\) | −0.362036 | + | 1.11423i | −0.0267625 | + | 0.0823664i | ||||
\(184\) | 1.96014 | + | 6.03269i | 0.144503 | + | 0.444736i | ||||
\(185\) | 1.00000 | 0.0735215 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −18.8995 | −1.38207 | ||||||||
\(188\) | −5.45627 | − | 16.7927i | −0.397939 | − | 1.22473i | ||||
\(189\) | 0.309017 | − | 0.951057i | 0.0224777 | − | 0.0691792i | ||||
\(190\) | −1.47923 | + | 1.07472i | −0.107315 | + | 0.0779686i | ||||
\(191\) | −20.8995 | −1.51223 | −0.756117 | − | 0.654436i | \(-0.772906\pi\) | ||||
−0.756117 | + | 0.654436i | \(0.772906\pi\) | |||||||
\(192\) | −1.72792 | −0.124702 | ||||||||
\(193\) | −5.77811 | + | 4.19804i | −0.415917 | + | 0.302182i | −0.775993 | − | 0.630741i | \(-0.782751\pi\) |
0.360076 | + | 0.932923i | \(0.382751\pi\) | |||||||
\(194\) | −1.73302 | − | 1.25912i | −0.124424 | − | 0.0903992i | ||||
\(195\) | 1.28293 | + | 0.932102i | 0.0918724 | + | 0.0667492i | ||||
\(196\) | 3.85816 | + | 11.8742i | 0.275583 | + | 0.848158i | ||||
\(197\) | 10.9098 | − | 7.92645i | 0.777293 | − | 0.564736i | −0.126873 | − | 0.991919i | \(-0.540494\pi\) |
0.904165 | + | 0.427183i | \(0.140494\pi\) | |||||||
\(198\) | −1.17395 | − | 3.61305i | −0.0834292 | − | 0.256769i | ||||
\(199\) | 5.69030 | − | 17.5130i | 0.403375 | − | 1.24146i | −0.518869 | − | 0.854853i | \(-0.673647\pi\) |
0.922244 | − | 0.386607i | \(-0.126353\pi\) | |||||||
\(200\) | −5.13171 | − | 3.72841i | −0.362867 | − | 0.263638i | ||||
\(201\) | 0.415055 | − | 1.27741i | 0.0292757 | − | 0.0901014i | ||||
\(202\) | −1.08611 | + | 3.34270i | −0.0764183 | + | 0.235191i | ||||
\(203\) | −2.28825 | − | 1.66251i | −0.160603 | − | 0.116685i | ||||
\(204\) | 1.36407 | − | 4.19817i | 0.0955038 | − | 0.293930i | ||||
\(205\) | −2.31308 | − | 7.11893i | −0.161552 | − | 0.497207i | ||||
\(206\) | −0.694027 | + | 0.504240i | −0.0483551 | + | 0.0351321i | ||||
\(207\) | 3.49613 | + | 10.7600i | 0.242998 | + | 0.747870i | ||||
\(208\) | 9.29179 | + | 6.75088i | 0.644270 | + | 0.468089i | ||||
\(209\) | −11.5800 | − | 8.41339i | −0.801008 | − | 0.581966i | ||||
\(210\) | 0.0574951 | − | 0.0417726i | 0.00396754 | − | 0.00288258i | ||||
\(211\) | 10.4142 | 0.716944 | 0.358472 | − | 0.933540i | \(-0.383298\pi\) | ||||
0.358472 | + | 0.933540i | \(0.383298\pi\) | |||||||
\(212\) | −10.6569 | −0.731916 | ||||||||
\(213\) | −0.0238152 | + | 0.0173028i | −0.00163179 | + | 0.00118557i | ||||
\(214\) | 1.58901 | − | 4.89046i | 0.108622 | − | 0.334305i | ||||
\(215\) | −3.36813 | − | 10.3660i | −0.229705 | − | 0.706958i | ||||
\(216\) | 3.82843 | 0.260491 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −4.48528 | −0.303782 | ||||||||
\(219\) | −0.234037 | − | 0.720292i | −0.0158147 | − | 0.0486728i | ||||
\(220\) | −1.83214 | + | 5.63875i | −0.123523 | + | 0.380164i | ||||
\(221\) | −18.0522 | + | 13.1157i | −1.21432 | + | 0.882255i | ||||
\(222\) | 0.171573 | 0.0115152 | ||||||||
\(223\) | −23.7279 | −1.58894 | −0.794470 | − | 0.607304i | \(-0.792251\pi\) | ||||
−0.794470 | + | 0.607304i | \(0.792251\pi\) | |||||||
\(224\) | 1.47923 | − | 1.07472i | 0.0988351 | − | 0.0718079i | ||||
\(225\) | −9.15298 | − | 6.65003i | −0.610199 | − | 0.443335i | ||||
\(226\) | −5.58181 | − | 4.05542i | −0.371296 | − | 0.269763i | ||||
\(227\) | −5.69030 | − | 17.5130i | −0.377679 | − | 1.16238i | −0.941654 | − | 0.336584i | \(-0.890728\pi\) |
0.563975 | − | 0.825792i | \(-0.309272\pi\) | |||||||
\(228\) | 2.70466 | − | 1.96505i | 0.179121 | − | 0.130139i | ||||
\(229\) | −1.69505 | − | 5.21681i | −0.112012 | − | 0.344737i | 0.879300 | − | 0.476268i | \(-0.158011\pi\) |
−0.991312 | + | 0.131531i | \(0.958011\pi\) | |||||||
\(230\) | −0.511996 | + | 1.57576i | −0.0337600 | + | 0.103903i | ||||
\(231\) | 0.450096 | + | 0.327014i | 0.0296141 | + | 0.0215159i | ||||
\(232\) | 3.34617 | − | 10.2984i | 0.219687 | − | 0.676126i | ||||
\(233\) | −2.83417 | + | 8.72268i | −0.185673 | + | 0.571442i | −0.999959 | − | 0.00902109i | \(-0.997128\pi\) |
0.814287 | + | 0.580463i | \(0.197128\pi\) | |||||||
\(234\) | −3.62867 | − | 2.63638i | −0.237214 | − | 0.172346i | ||||
\(235\) | 2.98413 | − | 9.18421i | 0.194663 | − | 0.599112i | ||||
\(236\) | −2.30021 | − | 7.07933i | −0.149731 | − | 0.460825i | ||||
\(237\) | 2.26443 | − | 1.64520i | 0.147091 | − | 0.106868i | ||||
\(238\) | 0.309017 | + | 0.951057i | 0.0200306 | + | 0.0616478i | ||||
\(239\) | 17.1857 | + | 12.4861i | 1.11165 | + | 0.807659i | 0.982922 | − | 0.184021i | \(-0.0589114\pi\) |
0.128725 | + | 0.991680i | \(0.458911\pi\) | |||||||
\(240\) | −1.00532 | − | 0.730406i | −0.0648930 | − | 0.0471475i | ||||
\(241\) | −10.7948 | + | 7.84290i | −0.695356 | + | 0.505206i | −0.878417 | − | 0.477896i | \(-0.841400\pi\) |
0.183060 | + | 0.983102i | \(0.441400\pi\) | |||||||
\(242\) | −0.201010 | −0.0129214 | ||||||||
\(243\) | 10.3431 | 0.663513 | ||||||||
\(244\) | −4.18389 | + | 3.03977i | −0.267846 | + | 0.194602i | ||||
\(245\) | −2.11010 | + | 6.49422i | −0.134809 | + | 0.414901i | ||||
\(246\) | −0.396862 | − | 1.22141i | −0.0253030 | − | 0.0778745i | ||||
\(247\) | −16.8995 | −1.07529 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −4.17157 | −0.264363 | ||||||||
\(250\) | −1.15199 | − | 3.54546i | −0.0728583 | − | 0.224235i | ||||
\(251\) | 1.98210 | − | 6.10028i | 0.125109 | − | 0.385046i | −0.868812 | − | 0.495142i | \(-0.835116\pi\) |
0.993921 | + | 0.110096i | \(0.0351159\pi\) | |||||||
\(252\) | 1.73302 | − | 1.25912i | 0.109170 | − | 0.0793168i | ||||
\(253\) | −12.9706 | −0.815452 | ||||||||
\(254\) | 3.68629 | 0.231299 | ||||||||
\(255\) | 1.95314 | − | 1.41904i | 0.122310 | − | 0.0888637i | ||||
\(256\) | −3.21225 | − | 2.33384i | −0.200766 | − | 0.145865i | ||||
\(257\) | −18.0522 | − | 13.1157i | −1.12606 | − | 0.818133i | −0.140946 | − | 0.990017i | \(-0.545014\pi\) |
−0.985117 | + | 0.171884i | \(0.945014\pi\) | |||||||
\(258\) | −0.577880 | − | 1.77853i | −0.0359772 | − | 0.110726i | ||||
\(259\) | 0.335106 | − | 0.243469i | 0.0208225 | − | 0.0151284i | ||||
\(260\) | 2.16312 | + | 6.65740i | 0.134151 | + | 0.412874i | ||||
\(261\) | 5.96826 | − | 18.3684i | 0.369426 | − | 1.13698i | ||||
\(262\) | 4.43769 | + | 3.22417i | 0.274161 | + | 0.199190i | ||||
\(263\) | −7.20433 | + | 22.1727i | −0.444238 | + | 1.36722i | 0.439079 | + | 0.898448i | \(0.355305\pi\) |
−0.883317 | + | 0.468776i | \(0.844695\pi\) | |||||||
\(264\) | −0.658188 | + | 2.02570i | −0.0405087 | + | 0.124673i | ||||
\(265\) | −4.71530 | − | 3.42586i | −0.289658 | − | 0.210449i | ||||
\(266\) | −0.234037 | + | 0.720292i | −0.0143497 | + | 0.0441639i | ||||
\(267\) | 0.574112 | + | 1.76693i | 0.0351351 | + | 0.108135i | ||||
\(268\) | 4.79661 | − | 3.48494i | 0.292999 | − | 0.212877i | ||||
\(269\) | −8.08746 | − | 24.8906i | −0.493101 | − | 1.51761i | −0.819895 | − | 0.572514i | \(-0.805968\pi\) |
0.326794 | − | 0.945096i | \(-0.394032\pi\) | |||||||
\(270\) | 0.809017 | + | 0.587785i | 0.0492352 | + | 0.0357715i | ||||
\(271\) | 0.555221 | + | 0.403392i | 0.0337273 | + | 0.0245043i | 0.604521 | − | 0.796589i | \(-0.293364\pi\) |
−0.570794 | + | 0.821093i | \(0.693364\pi\) | |||||||
\(272\) | 14.1459 | − | 10.2776i | 0.857721 | − | 0.623170i | ||||
\(273\) | 0.656854 | 0.0397546 | ||||||||
\(274\) | 3.92893 | 0.237355 | ||||||||
\(275\) | 10.4934 | − | 7.62391i | 0.632776 | − | 0.459739i | ||||
\(276\) | 0.936148 | − | 2.88117i | 0.0563495 | − | 0.173426i | ||||
\(277\) | 4.37016 | + | 13.4500i | 0.262577 | + | 0.808130i | 0.992242 | + | 0.124325i | \(0.0396764\pi\) |
−0.729664 | + | 0.683806i | \(0.760324\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.656854 | 0.0392545 | ||||||||
\(281\) | 0.618034 | + | 1.90211i | 0.0368688 | + | 0.113471i | 0.967797 | − | 0.251731i | \(-0.0809999\pi\) |
−0.930928 | + | 0.365202i | \(0.881000\pi\) | |||||||
\(282\) | 0.511996 | − | 1.57576i | 0.0304889 | − | 0.0938353i | ||||
\(283\) | 11.0486 | − | 8.02730i | 0.656773 | − | 0.477173i | −0.208799 | − | 0.977959i | \(-0.566955\pi\) |
0.865572 | + | 0.500785i | \(0.166955\pi\) | |||||||
\(284\) | −0.129942 | −0.00771066 | ||||||||
\(285\) | 1.82843 | 0.108307 | ||||||||
\(286\) | 4.16008 | − | 3.02247i | 0.245990 | − | 0.178722i | ||||
\(287\) | −2.50836 | − | 1.82243i | −0.148064 | − | 0.107575i | ||||
\(288\) | 10.1008 | + | 7.33866i | 0.595196 | + | 0.432435i | ||||
\(289\) | 5.24419 | + | 16.1400i | 0.308482 | + | 0.949410i | ||||
\(290\) | 2.28825 | − | 1.66251i | 0.134370 | − | 0.0976258i | ||||
\(291\) | 0.661956 | + | 2.03729i | 0.0388046 | + | 0.119428i | ||||
\(292\) | 1.03309 | − | 3.17952i | 0.0604570 | − | 0.186067i | ||||
\(293\) | −11.9726 | − | 8.69863i | −0.699449 | − | 0.508179i | 0.180304 | − | 0.983611i | \(-0.442292\pi\) |
−0.879753 | + | 0.475432i | \(0.842292\pi\) | |||||||
\(294\) | −0.362036 | + | 1.11423i | −0.0211144 | + | 0.0649833i | ||||
\(295\) | 1.25803 | − | 3.87182i | 0.0732453 | − | 0.225426i | ||||
\(296\) | 1.28293 | + | 0.932102i | 0.0745687 | + | 0.0541773i | ||||
\(297\) | −2.41912 | + | 7.44528i | −0.140371 | + | 0.432019i | ||||
\(298\) | 0.127999 | + | 0.393941i | 0.00741478 | + | 0.0228204i | ||||
\(299\) | −12.3891 | + | 9.00117i | −0.716477 | + | 0.520551i | ||||
\(300\) | 0.936148 | + | 2.88117i | 0.0540485 | + | 0.166344i | ||||
\(301\) | −3.65248 | − | 2.65369i | −0.210526 | − | 0.152956i | ||||
\(302\) | −1.78065 | − | 1.29372i | −0.102465 | − | 0.0744453i | ||||
\(303\) | 2.84347 | − | 2.06590i | 0.163353 | − | 0.118683i | ||||
\(304\) | 13.2426 | 0.759518 | ||||||||
\(305\) | −2.82843 | −0.161955 | ||||||||
\(306\) | −5.52431 | + | 4.01365i | −0.315804 | + | 0.229445i | ||||
\(307\) | −3.47417 | + | 10.6924i | −0.198281 | + | 0.610247i | 0.801641 | + | 0.597805i | \(0.203960\pi\) |
−0.999923 | + | 0.0124416i | \(0.996040\pi\) | |||||||
\(308\) | 0.758898 | + | 2.33565i | 0.0432422 | + | 0.133086i | ||||
\(309\) | 0.857864 | 0.0488022 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 11.3137 | 0.641542 | 0.320771 | − | 0.947157i | \(-0.396058\pi\) | ||||
0.320771 | + | 0.947157i | \(0.396058\pi\) | |||||||
\(312\) | 0.777091 | + | 2.39164i | 0.0439941 | + | 0.135400i | ||||
\(313\) | −0.565015 | + | 1.73894i | −0.0319365 | + | 0.0982906i | −0.965754 | − | 0.259459i | \(-0.916456\pi\) |
0.933818 | + | 0.357749i | \(0.116456\pi\) | |||||||
\(314\) | −3.07345 | + | 2.23299i | −0.173445 | + | 0.126015i | ||||
\(315\) | 1.17157 | 0.0660107 | ||||||||
\(316\) | 12.3553 | 0.695042 | ||||||||
\(317\) | 6.33333 | − | 4.60143i | 0.355715 | − | 0.258442i | −0.395547 | − | 0.918446i | \(-0.629445\pi\) |
0.751263 | + | 0.660003i | \(0.229445\pi\) | |||||||
\(318\) | −0.809017 | − | 0.587785i | −0.0453674 | − | 0.0329614i | ||||
\(319\) | 17.9134 | + | 13.0148i | 1.00296 | + | 0.728690i | ||||
\(320\) | −1.28909 | − | 3.96740i | −0.0720621 | − | 0.221784i | ||||
\(321\) | −4.16008 | + | 3.02247i | −0.232193 | + | 0.168698i | ||||
\(322\) | 0.212076 | + | 0.652702i | 0.0118185 | + | 0.0363737i | ||||
\(323\) | −7.95037 | + | 24.4687i | −0.442370 | + | 1.36148i | ||||
\(324\) | 11.0724 | + | 8.04460i | 0.615136 | + | 0.446922i | ||||
\(325\) | 4.73220 | − | 14.5642i | 0.262495 | − | 0.807877i | ||||
\(326\) | 2.68421 | − | 8.26115i | 0.148665 | − | 0.457543i | ||||
\(327\) | 3.62867 | + | 2.63638i | 0.200666 | + | 0.145792i | ||||
\(328\) | 3.66805 | − | 11.2891i | 0.202534 | − | 0.623336i | ||||
\(329\) | −1.23607 | − | 3.80423i | −0.0681466 | − | 0.209734i | ||||
\(330\) | −0.450096 | + | 0.327014i | −0.0247770 | + | 0.0180015i | ||||
\(331\) | 2.85613 | + | 8.79027i | 0.156987 | + | 0.483157i | 0.998357 | − | 0.0573031i | \(-0.0182501\pi\) |
−0.841370 | + | 0.540460i | \(0.818250\pi\) | |||||||
\(332\) | −14.8974 | − | 10.8236i | −0.817602 | − | 0.594022i | ||||
\(333\) | 2.28825 | + | 1.66251i | 0.125395 | + | 0.0911049i | ||||
\(334\) | −7.55876 | + | 5.49176i | −0.413597 | + | 0.300496i | ||||
\(335\) | 3.24264 | 0.177164 | ||||||||
\(336\) | −0.514719 | −0.0280802 | ||||||||
\(337\) | −7.53495 | + | 5.47446i | −0.410455 | + | 0.298213i | −0.773786 | − | 0.633447i | \(-0.781639\pi\) |
0.363331 | + | 0.931660i | \(0.381639\pi\) | |||||||
\(338\) | 0.212076 | − | 0.652702i | 0.0115354 | − | 0.0355023i | ||||
\(339\) | 2.13206 | + | 6.56181i | 0.115798 | + | 0.356389i | ||||
\(340\) | 10.6569 | 0.577949 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −5.17157 | −0.279647 | ||||||||
\(343\) | 1.77003 | + | 5.44758i | 0.0955724 | + | 0.294142i | ||||
\(344\) | 5.34113 | − | 16.4383i | 0.287975 | − | 0.886295i | ||||
\(345\) | 1.34042 | − | 0.973874i | 0.0721660 | − | 0.0524316i | ||||
\(346\) | 3.44365 | 0.185132 | ||||||||
\(347\) | −8.55635 | −0.459329 | −0.229664 | − | 0.973270i | \(-0.573763\pi\) | ||||
−0.229664 | + | 0.973270i | \(0.573763\pi\) | |||||||
\(348\) | −4.18389 | + | 3.03977i | −0.224280 | + | 0.162949i | ||||
\(349\) | 21.9346 | + | 15.9364i | 1.17413 | + | 0.853058i | 0.991498 | − | 0.130122i | \(-0.0415370\pi\) |
0.182636 | + | 0.983181i | \(0.441537\pi\) | |||||||
\(350\) | −0.555221 | − | 0.403392i | −0.0296778 | − | 0.0215622i | ||||
\(351\) | 2.85613 | + | 8.79027i | 0.152449 | + | 0.469190i | ||||
\(352\) | −11.5800 | + | 8.41339i | −0.617218 | + | 0.448435i | ||||
\(353\) | 0.927051 | + | 2.85317i | 0.0493419 | + | 0.151859i | 0.972692 | − | 0.232101i | \(-0.0745600\pi\) |
−0.923350 | + | 0.383960i | \(0.874560\pi\) | |||||||
\(354\) | 0.215844 | − | 0.664299i | 0.0114720 | − | 0.0353071i | ||||
\(355\) | −0.0574951 | − | 0.0417726i | −0.00305152 | − | 0.00221706i | ||||
\(356\) | −2.53425 | + | 7.79962i | −0.134315 | + | 0.413379i | ||||
\(357\) | 0.309017 | − | 0.951057i | 0.0163549 | − | 0.0503352i | ||||
\(358\) | 5.10790 | + | 3.71110i | 0.269961 | + | 0.196138i | ||||
\(359\) | 2.19418 | − | 6.75298i | 0.115804 | − | 0.356409i | −0.876310 | − | 0.481748i | \(-0.840002\pi\) |
0.992114 | + | 0.125339i | \(0.0400020\pi\) | |||||||
\(360\) | 1.38603 | + | 4.26576i | 0.0730501 | + | 0.224825i | ||||
\(361\) | −0.392601 | + | 0.285241i | −0.0206632 | + | 0.0150127i | ||||
\(362\) | 1.57614 | + | 4.85087i | 0.0828402 | + | 0.254956i | ||||
\(363\) | 0.162621 | + | 0.118151i | 0.00853537 | + | 0.00620131i | ||||
\(364\) | 2.34574 | + | 1.70428i | 0.122950 | + | 0.0893286i | ||||
\(365\) | 1.47923 | − | 1.07472i | 0.0774264 | − | 0.0562535i | ||||
\(366\) | −0.485281 | −0.0253661 | ||||||||
\(367\) | −24.2132 | −1.26392 | −0.631959 | − | 0.775001i | \(-0.717749\pi\) | ||||
−0.631959 | + | 0.775001i | \(0.717749\pi\) | |||||||
\(368\) | 9.70820 | − | 7.05342i | 0.506075 | − | 0.367685i | ||||
\(369\) | 6.54238 | − | 20.1354i | 0.340582 | − | 1.04821i | ||||
\(370\) | 0.127999 | + | 0.393941i | 0.00665435 | + | 0.0204800i | ||||
\(371\) | −2.41421 | −0.125340 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.0000 | 0.517780 | 0.258890 | − | 0.965907i | \(-0.416643\pi\) | ||||
0.258890 | + | 0.965907i | \(0.416643\pi\) | |||||||
\(374\) | −2.41912 | − | 7.44528i | −0.125090 | − | 0.384986i | ||||
\(375\) | −1.15199 | + | 3.54546i | −0.0594886 | + | 0.183087i | ||||
\(376\) | 12.3891 | − | 9.00117i | 0.638916 | − | 0.464200i | ||||
\(377\) | 26.1421 | 1.34639 | ||||||||
\(378\) | 0.414214 | 0.0213048 | ||||||||
\(379\) | −5.97441 | + | 4.34066i | −0.306885 | + | 0.222965i | −0.730559 | − | 0.682850i | \(-0.760740\pi\) |
0.423674 | + | 0.905815i | \(0.360740\pi\) | |||||||
\(380\) | 6.52963 | + | 4.74405i | 0.334963 | + | 0.243365i | ||||
\(381\) | −2.98227 | − | 2.16675i | −0.152786 | − | 0.111006i | ||||
\(382\) | −2.67512 | − | 8.23316i | −0.136871 | − | 0.421245i | ||||
\(383\) | −4.12640 | + | 2.99800i | −0.210849 | + | 0.153191i | −0.688198 | − | 0.725523i | \(-0.741598\pi\) |
0.477349 | + | 0.878714i | \(0.341598\pi\) | |||||||
\(384\) | −1.35120 | − | 4.15857i | −0.0689533 | − | 0.212216i | ||||
\(385\) | −0.415055 | + | 1.27741i | −0.0211532 | + | 0.0651027i | ||||
\(386\) | −2.39337 | − | 1.73889i | −0.121819 | − | 0.0885070i | ||||
\(387\) | 9.52651 | − | 29.3196i | 0.484260 | − | 1.49040i | ||||
\(388\) | −2.92202 | + | 8.99304i | −0.148343 | + | 0.456553i | ||||
\(389\) | 9.01418 | + | 6.54918i | 0.457037 | + | 0.332057i | 0.792368 | − | 0.610044i | \(-0.208848\pi\) |
−0.335331 | + | 0.942100i | \(0.608848\pi\) | |||||||
\(390\) | −0.202979 | + | 0.624706i | −0.0102782 | + | 0.0316332i | ||||
\(391\) | 7.20433 | + | 22.1727i | 0.364339 | + | 1.12132i | ||||
\(392\) | −8.76038 | + | 6.36479i | −0.442466 | + | 0.321470i | ||||
\(393\) | −1.69505 | − | 5.21681i | −0.0855037 | − | 0.263153i | ||||
\(394\) | 4.51900 | + | 3.28324i | 0.227664 | + | 0.165407i | ||||
\(395\) | 5.46682 | + | 3.97188i | 0.275065 | + | 0.199847i | ||||
\(396\) | −13.5669 | + | 9.85690i | −0.681760 | + | 0.495328i | ||||
\(397\) | −33.4853 | −1.68058 | −0.840289 | − | 0.542139i | \(-0.817615\pi\) | ||||
−0.840289 | + | 0.542139i | \(0.817615\pi\) | |||||||
\(398\) | 7.62742 | 0.382328 | ||||||||
\(399\) | 0.612717 | − | 0.445165i | 0.0306742 | − | 0.0222861i | ||||
\(400\) | −3.70820 | + | 11.4127i | −0.185410 | + | 0.570634i | ||||
\(401\) | −8.29044 | − | 25.5154i | −0.414005 | − | 1.27418i | −0.913138 | − | 0.407651i | \(-0.866348\pi\) |
0.499133 | − | 0.866525i | \(-0.333652\pi\) | |||||||
\(402\) | 0.556349 | 0.0277482 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 15.5147 | 0.771886 | ||||||||
\(405\) | 2.31308 | + | 7.11893i | 0.114938 | + | 0.353742i | ||||
\(406\) | 0.362036 | − | 1.11423i | 0.0179675 | − | 0.0552984i | ||||
\(407\) | −2.62335 | + | 1.90598i | −0.130035 | + | 0.0944757i | ||||
\(408\) | 3.82843 | 0.189535 | ||||||||
\(409\) | 20.6569 | 1.02142 | 0.510708 | − | 0.859754i | \(-0.329383\pi\) | ||||
0.510708 | + | 0.859754i | \(0.329383\pi\) | |||||||
\(410\) | 2.50836 | − | 1.82243i | 0.123879 | − | 0.0900035i | ||||
\(411\) | −3.17857 | − | 2.30937i | −0.156787 | − | 0.113913i | ||||
\(412\) | 3.06358 | + | 2.22582i | 0.150932 | + | 0.109658i | ||||
\(413\) | −0.521093 | − | 1.60376i | −0.0256413 | − | 0.0789158i | ||||
\(414\) | −3.79129 | + | 2.75453i | −0.186332 | + | 0.135378i | ||||
\(415\) | −3.11213 | − | 9.57815i | −0.152769 | − | 0.470173i | ||||
\(416\) | −5.22223 | + | 16.0724i | −0.256041 | + | 0.788013i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.83214 | − | 5.63875i | 0.0896129 | − | 0.275800i | ||||
\(419\) | 8.65248 | − | 26.6296i | 0.422701 | − | 1.30094i | −0.482477 | − | 0.875908i | \(-0.660263\pi\) |
0.905178 | − | 0.425032i | \(-0.139737\pi\) | |||||||
\(420\) | −0.253796 | − | 0.184393i | −0.0123840 | − | 0.00899747i | ||||
\(421\) | −9.62345 | + | 29.6179i | −0.469018 | + | 1.44349i | 0.384840 | + | 0.922983i | \(0.374257\pi\) |
−0.853858 | + | 0.520506i | \(0.825743\pi\) | |||||||
\(422\) | 1.33301 | + | 4.10258i | 0.0648899 | + | 0.199710i | ||||
\(423\) | 22.0973 | − | 16.0546i | 1.07441 | − | 0.780601i | ||||
\(424\) | −2.85613 | − | 8.79027i | −0.138706 | − | 0.426893i | ||||
\(425\) | −18.8612 | − | 13.7035i | −0.914902 | − | 0.664715i | ||||
\(426\) | −0.00986459 | − | 0.00716705i | −0.000477941 | − | 0.000347245i | ||||
\(427\) | −0.947822 | + | 0.688633i | −0.0458683 | + | 0.0333253i | ||||
\(428\) | −22.6985 | −1.09717 | ||||||||
\(429\) | −5.14214 | −0.248265 | ||||||||
\(430\) | 3.65248 | − | 2.65369i | 0.176138 | − | 0.127972i | ||||
\(431\) | −5.17831 | + | 15.9372i | −0.249430 | + | 0.767668i | 0.745446 | + | 0.666566i | \(0.232237\pi\) |
−0.994876 | + | 0.101101i | \(0.967763\pi\) | |||||||
\(432\) | −2.23810 | − | 6.88816i | −0.107681 | − | 0.331407i | ||||
\(433\) | 27.1127 | 1.30295 | 0.651477 | − | 0.758669i | \(-0.274150\pi\) | ||||
0.651477 | + | 0.758669i | \(0.274150\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.82843 | −0.135613 | ||||||||
\(436\) | 6.11822 | + | 18.8300i | 0.293010 | + | 0.901791i | ||||
\(437\) | −5.45627 | + | 16.7927i | −0.261009 | + | 0.803302i | ||||
\(438\) | 0.253796 | − | 0.184393i | 0.0121268 | − | 0.00881065i | ||||
\(439\) | 2.07107 | 0.0988467 | 0.0494233 | − | 0.998778i | \(-0.484262\pi\) | ||||
0.0494233 | + | 0.998778i | \(0.484262\pi\) | |||||||
\(440\) | −5.14214 | −0.245142 | ||||||||
\(441\) | −15.6251 | + | 11.3523i | −0.744053 | + | 0.540586i | ||||
\(442\) | −7.47745 | − | 5.43269i | −0.355666 | − | 0.258407i | ||||
\(443\) | 3.84878 | + | 2.79631i | 0.182861 | + | 0.132856i | 0.675450 | − | 0.737406i | \(-0.263949\pi\) |
−0.492589 | + | 0.870262i | \(0.663949\pi\) | |||||||
\(444\) | −0.234037 | − | 0.720292i | −0.0111069 | − | 0.0341835i | ||||
\(445\) | −3.62867 | + | 2.63638i | −0.172015 | + | 0.124977i | ||||
\(446\) | −3.03715 | − | 9.34739i | −0.143813 | − | 0.442612i | ||||
\(447\) | 0.127999 | − | 0.393941i | 0.00605415 | − | 0.0186327i | ||||
\(448\) | −1.39792 | − | 1.01565i | −0.0660454 | − | 0.0479848i | ||||
\(449\) | −12.5546 | + | 38.6390i | −0.592486 | + | 1.82349i | −0.0256264 | + | 0.999672i | \(0.508158\pi\) |
−0.566860 | + | 0.823814i | \(0.691842\pi\) | |||||||
\(450\) | 1.44814 | − | 4.45693i | 0.0682661 | − | 0.210102i | ||||
\(451\) | 19.6365 | + | 14.2668i | 0.924648 | + | 0.671796i | ||||
\(452\) | −9.41137 | + | 28.9652i | −0.442674 | + | 1.36241i | ||||
\(453\) | 0.680150 | + | 2.09329i | 0.0319562 | + | 0.0983511i | ||||
\(454\) | 6.17071 | − | 4.48328i | 0.289606 | − | 0.210411i | ||||
\(455\) | 0.490035 | + | 1.50817i | 0.0229732 | + | 0.0707042i | ||||
\(456\) | 2.34574 | + | 1.70428i | 0.109849 | + | 0.0798102i | ||||
\(457\) | 25.1707 | + | 18.2876i | 1.17744 | + | 0.855457i | 0.991880 | − | 0.127177i | \(-0.0405915\pi\) |
0.185556 | + | 0.982634i | \(0.440591\pi\) | |||||||
\(458\) | 1.83815 | − | 1.33549i | 0.0858911 | − | 0.0624035i | ||||
\(459\) | 14.0711 | 0.656781 | ||||||||
\(460\) | 7.31371 | 0.341003 | ||||||||
\(461\) | 1.73302 | − | 1.25912i | 0.0807150 | − | 0.0586429i | −0.546696 | − | 0.837331i | \(-0.684115\pi\) |
0.627411 | + | 0.778688i | \(0.284115\pi\) | |||||||
\(462\) | −0.0712122 | + | 0.219168i | −0.00331309 | + | 0.0101966i | ||||
\(463\) | −2.77206 | − | 8.53151i | −0.128828 | − | 0.396493i | 0.865751 | − | 0.500475i | \(-0.166841\pi\) |
−0.994579 | + | 0.103982i | \(0.966841\pi\) | |||||||
\(464\) | −20.4853 | −0.951005 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.79899 | −0.175985 | ||||||||
\(467\) | −2.47214 | − | 7.60845i | −0.114397 | − | 0.352077i | 0.877424 | − | 0.479716i | \(-0.159260\pi\) |
−0.991821 | + | 0.127639i | \(0.959260\pi\) | |||||||
\(468\) | −6.11822 | + | 18.8300i | −0.282815 | + | 0.870415i | ||||
\(469\) | 1.08663 | − | 0.789481i | 0.0501758 | − | 0.0364549i | ||||
\(470\) | 4.00000 | 0.184506 | ||||||||
\(471\) | 3.79899 | 0.175048 | ||||||||
\(472\) | 5.22289 | − | 3.79465i | 0.240403 | − | 0.174663i | ||||
\(473\) | 28.5932 | + | 20.7742i | 1.31472 | + | 0.955198i | ||||
\(474\) | 0.937958 | + | 0.681466i | 0.0430818 | + | 0.0313008i | ||||
\(475\) | −5.45627 | − | 16.7927i | −0.250351 | − | 0.770500i | ||||
\(476\) | 3.57117 | − | 2.59461i | 0.163684 | − | 0.118924i | ||||
\(477\) | −5.09423 | − | 15.6784i | −0.233249 | − | 0.717866i | ||||
\(478\) | −2.71904 | + | 8.36834i | −0.124366 | + | 0.382759i | ||||
\(479\) | 12.7242 | + | 9.24464i | 0.581382 | + | 0.422398i | 0.839222 | − | 0.543789i | \(-0.183011\pi\) |
−0.257840 | + | 0.966188i | \(0.583011\pi\) | |||||||
\(480\) | 0.565015 | − | 1.73894i | 0.0257893 | − | 0.0793713i | ||||
\(481\) | −1.18305 | + | 3.64105i | −0.0539424 | + | 0.166018i | ||||
\(482\) | −4.47137 | − | 3.24864i | −0.203665 | − | 0.147971i | ||||
\(483\) | 0.212076 | − | 0.652702i | 0.00964978 | − | 0.0296990i | ||||
\(484\) | 0.274191 | + | 0.843874i | 0.0124632 | + | 0.0383579i | ||||
\(485\) | −4.18389 | + | 3.03977i | −0.189981 | + | 0.138029i | ||||
\(486\) | 1.32391 | + | 4.07458i | 0.0600539 | + | 0.184827i | ||||
\(487\) | −15.6826 | − | 11.3941i | −0.710647 | − | 0.516315i | 0.172735 | − | 0.984968i | \(-0.444739\pi\) |
−0.883382 | + | 0.468653i | \(0.844739\pi\) | |||||||
\(488\) | −3.62867 | − | 2.63638i | −0.164262 | − | 0.119343i | ||||
\(489\) | −7.02736 | + | 5.10567i | −0.317788 | + | 0.230887i | ||||
\(490\) | −2.82843 | −0.127775 | ||||||||
\(491\) | 1.58579 | 0.0715655 | 0.0357828 | − | 0.999360i | \(-0.488608\pi\) | ||||
0.0357828 | + | 0.999360i | \(0.488608\pi\) | |||||||
\(492\) | −4.58636 | + | 3.33218i | −0.206769 | + | 0.150226i | ||||
\(493\) | 12.2986 | − | 37.8511i | 0.553899 | − | 1.70473i | ||||
\(494\) | −2.16312 | − | 6.65740i | −0.0973233 | − | 0.299530i | ||||
\(495\) | −9.17157 | −0.412232 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.0294373 | −0.00132044 | ||||||||
\(498\) | −0.533957 | − | 1.64335i | −0.0239272 | − | 0.0736403i | ||||
\(499\) | −0.683917 | + | 2.10488i | −0.0306164 | + | 0.0942274i | −0.965197 | − | 0.261524i | \(-0.915775\pi\) |
0.934581 | + | 0.355751i | \(0.115775\pi\) | |||||||
\(500\) | −13.3131 | + | 9.67250i | −0.595378 | + | 0.432567i | ||||
\(501\) | 9.34315 | 0.417421 | ||||||||
\(502\) | 2.65685 | 0.118581 | ||||||||
\(503\) | 10.8285 | − | 7.86737i | 0.482819 | − | 0.350789i | −0.319597 | − | 0.947554i | \(-0.603547\pi\) |
0.802416 | + | 0.596765i | \(0.203547\pi\) | |||||||
\(504\) | 1.50304 | + | 1.09203i | 0.0669509 | + | 0.0486427i | ||||
\(505\) | 6.86474 | + | 4.98752i | 0.305477 | + | 0.221942i | ||||
\(506\) | −1.66022 | − | 5.10963i | −0.0738058 | − | 0.227151i | ||||
\(507\) | −0.555221 | + | 0.403392i | −0.0246583 | + | 0.0179153i | ||||
\(508\) | −5.02835 | − | 15.4757i | −0.223097 | − | 0.686622i | ||||
\(509\) | −10.1354 | + | 31.1937i | −0.449246 | + | 1.38264i | 0.428514 | + | 0.903535i | \(0.359037\pi\) |
−0.877760 | + | 0.479101i | \(0.840963\pi\) | |||||||
\(510\) | 0.809017 | + | 0.587785i | 0.0358239 | + | 0.0260276i | ||||
\(511\) | 0.234037 | − | 0.720292i | 0.0103532 | − | 0.0318638i | ||||
\(512\) | 7.03241 | − | 21.6435i | 0.310792 | − | 0.956518i | ||||
\(513\) | 8.62158 | + | 6.26394i | 0.380652 | + | 0.276560i | ||||
\(514\) | 2.85613 | − | 8.79027i | 0.125979 | − | 0.387722i | ||||
\(515\) | 0.639995 | + | 1.96970i | 0.0282016 | + | 0.0867955i | ||||
\(516\) | −6.67830 | + | 4.85207i | −0.293996 | + | 0.213600i | ||||
\(517\) | 9.67647 | + | 29.7811i | 0.425571 | + | 1.30977i | ||||
\(518\) | 0.138805 | + | 0.100848i | 0.00609876 | + | 0.00443101i | ||||
\(519\) | −2.78597 | − | 2.02413i | −0.122291 | − | 0.0888493i | ||||
\(520\) | −4.91160 | + | 3.56848i | −0.215388 | + | 0.156488i | ||||
\(521\) | −20.4558 | −0.896187 | −0.448093 | − | 0.893987i | \(-0.647897\pi\) | ||||
−0.448093 | + | 0.893987i | \(0.647897\pi\) | |||||||
\(522\) | 8.00000 | 0.350150 | ||||||||
\(523\) | 6.47214 | − | 4.70228i | 0.283007 | − | 0.205616i | −0.437221 | − | 0.899354i | \(-0.644037\pi\) |
0.720228 | + | 0.693738i | \(0.244037\pi\) | |||||||
\(524\) | 7.48229 | − | 23.0281i | 0.326865 | − | 1.00599i | ||||
\(525\) | 0.212076 | + | 0.652702i | 0.00925574 | + | 0.0284863i | ||||
\(526\) | −9.65685 | −0.421059 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 4.02944 | 0.175359 | ||||||||
\(529\) | −2.16312 | − | 6.65740i | −0.0940487 | − | 0.289452i | ||||
\(530\) | 0.746033 | − | 2.29605i | 0.0324056 | − | 0.0997342i | ||||
\(531\) | 9.31560 | − | 6.76818i | 0.404263 | − | 0.293714i | ||||
\(532\) | 3.34315 | 0.144944 | ||||||||
\(533\) | 28.6569 | 1.24127 | ||||||||
\(534\) | −0.622581 | + | 0.452332i | −0.0269417 | + | 0.0195743i | ||||
\(535\) | −10.0433 | − | 7.29689i | −0.434210 | − | 0.315472i | ||||
\(536\) | 4.16008 | + | 3.02247i | 0.179688 | + | 0.130551i | ||||
\(537\) | −1.95104 | − | 6.00469i | −0.0841937 | − | 0.259122i | ||||
\(538\) | 8.77025 | − | 6.37196i | 0.378112 | − | 0.274715i | ||||
\(539\) | −6.84230 | − | 21.0584i | −0.294719 | − | 0.907050i | ||||
\(540\) | 1.36407 | − | 4.19817i | 0.0587001 | − | 0.180660i | ||||
\(541\) | 25.3095 | + | 18.3884i | 1.08814 | + | 0.790580i | 0.979084 | − | 0.203455i | \(-0.0652171\pi\) |
0.109056 | + | 0.994036i | \(0.465217\pi\) | |||||||
\(542\) | −0.0878446 | + | 0.270358i | −0.00377325 | + | 0.0116129i | ||||
\(543\) | 1.57614 | − | 4.85087i | 0.0676388 | − | 0.208171i | ||||
\(544\) | 20.8143 | + | 15.1225i | 0.892407 | + | 0.648372i | ||||
\(545\) | −3.34617 | + | 10.2984i | −0.143334 | + | 0.441137i | ||||
\(546\) | 0.0840767 | + | 0.258761i | 0.00359815 | + | 0.0110740i | ||||
\(547\) | 15.9602 | − | 11.5958i | 0.682410 | − | 0.495800i | −0.191746 | − | 0.981445i | \(-0.561415\pi\) |
0.874156 | + | 0.485645i | \(0.161415\pi\) | |||||||
\(548\) | −5.35933 | − | 16.4943i | −0.228939 | − | 0.704602i | ||||
\(549\) | −6.47214 | − | 4.70228i | −0.276224 | − | 0.200689i | ||||
\(550\) | 4.34651 | + | 3.15793i | 0.185336 | + | 0.134654i | ||||
\(551\) | 24.3855 | − | 17.7171i | 1.03886 | − | 0.754774i | ||||
\(552\) | 2.62742 | 0.111830 | ||||||||
\(553\) | 2.79899 | 0.119025 | ||||||||
\(554\) | −4.73911 | + | 3.44317i | −0.201346 | + | 0.146286i | ||||
\(555\) | 0.127999 | − | 0.393941i | 0.00543326 | − | 0.0167218i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 27.5147 | 1.16584 | 0.582918 | − | 0.812531i | \(-0.301911\pi\) | ||||
0.582918 | + | 0.812531i | \(0.301911\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 41.7279 | 1.76490 | ||||||||
\(560\) | −0.383997 | − | 1.18182i | −0.0162268 | − | 0.0499411i | ||||
\(561\) | −2.41912 | + | 7.44528i | −0.102135 | + | 0.314340i | ||||
\(562\) | −0.670212 | + | 0.486937i | −0.0282712 | + | 0.0205402i | ||||
\(563\) | 13.2426 | 0.558111 | 0.279055 | − | 0.960275i | \(-0.409979\pi\) | ||||
0.279055 | + | 0.960275i | \(0.409979\pi\) | |||||||
\(564\) | −7.31371 | −0.307963 | ||||||||
\(565\) | −13.4757 | + | 9.79065i | −0.566926 | + | 0.411896i | ||||
\(566\) | 4.57649 | + | 3.32502i | 0.192364 | + | 0.139761i | ||||
\(567\) | 2.50836 | + | 1.82243i | 0.105341 | + | 0.0765349i | ||||
\(568\) | −0.0348257 | − | 0.107183i | −0.00146125 | − | 0.00449728i | ||||
\(569\) | 10.6322 | − | 7.72475i | 0.445725 | − | 0.323839i | −0.342180 | − | 0.939634i | \(-0.611165\pi\) |
0.787906 | + | 0.615796i | \(0.211165\pi\) | |||||||
\(570\) | 0.234037 | + | 0.720292i | 0.00980273 | + | 0.0301697i | ||||
\(571\) | −6.52041 | + | 20.0678i | −0.272871 | + | 0.839810i | 0.716904 | + | 0.697172i | \(0.245559\pi\) |
−0.989775 | + | 0.142638i | \(0.954441\pi\) | |||||||
\(572\) | −18.3635 | − | 13.3418i | −0.767815 | − | 0.557850i | ||||
\(573\) | −2.67512 | + | 8.23316i | −0.111755 | + | 0.343945i | ||||
\(574\) | 0.396862 | − | 1.22141i | 0.0165647 | − | 0.0509809i | ||||
\(575\) | −12.9443 | − | 9.40456i | −0.539813 | − | 0.392197i | ||||
\(576\) | 3.64609 | − | 11.2215i | 0.151920 | − | 0.467563i | ||||
\(577\) | −0.00909661 | − | 0.0279965i | −0.000378697 | − | 0.00116551i | 0.950867 | − | 0.309600i | \(-0.100195\pi\) |
−0.951246 | + | 0.308434i | \(0.900195\pi\) | |||||||
\(578\) | −5.68693 | + | 4.13180i | −0.236545 | + | 0.171860i | ||||
\(579\) | 0.914186 | + | 2.81358i | 0.0379923 | + | 0.116928i | ||||
\(580\) | −10.1008 | − | 7.33866i | −0.419413 | − | 0.304721i | ||||
\(581\) | −3.37487 | − | 2.45199i | −0.140013 | − | 0.101726i | ||||
\(582\) | −0.717842 | + | 0.521543i | −0.0297555 | + | 0.0216186i | ||||
\(583\) | 18.8995 | 0.782737 | ||||||||
\(584\) | 2.89949 | 0.119982 | ||||||||
\(585\) | −8.76038 | + | 6.36479i | −0.362197 | + | 0.263152i | ||||
\(586\) | 1.89426 | − | 5.82992i | 0.0782510 | − | 0.240832i | ||||
\(587\) | −9.78251 | − | 30.1075i | −0.403767 | − | 1.24267i | −0.921920 | − | 0.387380i | \(-0.873380\pi\) |
0.518153 | − | 0.855288i | \(-0.326620\pi\) | |||||||
\(588\) | 5.17157 | 0.213272 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 1.68629 | 0.0694235 | ||||||||
\(591\) | −1.72610 | − | 5.31240i | −0.0710024 | − | 0.218523i | ||||
\(592\) | 0.927051 | − | 2.85317i | 0.0381016 | − | 0.117265i | ||||
\(593\) | 1.06281 | − | 0.772178i | 0.0436445 | − | 0.0317096i | −0.565749 | − | 0.824577i | \(-0.691413\pi\) |
0.609394 | + | 0.792868i | \(0.291413\pi\) | |||||||
\(594\) | −3.24264 | −0.133047 | ||||||||
\(595\) | 2.41421 | 0.0989731 | ||||||||
\(596\) | 1.47923 | − | 1.07472i | 0.0605916 | − | 0.0440223i | ||||
\(597\) | −6.17071 | − | 4.48328i | −0.252550 | − | 0.183489i | ||||
\(598\) | −5.13171 | − | 3.72841i | −0.209851 | − | 0.152466i | ||||
\(599\) | 4.66631 | + | 14.3614i | 0.190660 | + | 0.586792i | 1.00000 | 0.000548856i | \(-0.000174706\pi\) | |
−0.809339 | + | 0.587341i | \(0.800175\pi\) | |||||||
\(600\) | −2.12563 | + | 1.54436i | −0.0867783 | + | 0.0630481i | ||||
\(601\) | −2.01316 | − | 6.19587i | −0.0821185 | − | 0.252735i | 0.901565 | − | 0.432644i | \(-0.142419\pi\) |
−0.983683 | + | 0.179910i | \(0.942419\pi\) | |||||||
\(602\) | 0.577880 | − | 1.77853i | 0.0235526 | − | 0.0724875i | ||||
\(603\) | 7.41996 | + | 5.39092i | 0.302164 | + | 0.219535i | ||||
\(604\) | −3.00233 | + | 9.24021i | −0.122163 | + | 0.375979i | ||||
\(605\) | −0.149960 | + | 0.461530i | −0.00609675 | + | 0.0187639i | ||||
\(606\) | 1.17780 | + | 0.855724i | 0.0478450 | + | 0.0347614i | ||||
\(607\) | −0.490035 | + | 1.50817i | −0.0198899 | + | 0.0612148i | −0.960509 | − | 0.278250i | \(-0.910246\pi\) |
0.940619 | + | 0.339464i | \(0.110246\pi\) | |||||||
\(608\) | 6.02128 | + | 18.5316i | 0.244195 | + | 0.751556i | ||||
\(609\) | −0.947822 | + | 0.688633i | −0.0384077 | + | 0.0279048i | ||||
\(610\) | −0.362036 | − | 1.11423i | −0.0146584 | − | 0.0451139i | ||||
\(611\) | 29.9098 | + | 21.7308i | 1.21002 | + | 0.879132i | ||||
\(612\) | 24.3855 | + | 17.7171i | 0.985725 | + | 0.716171i | ||||
\(613\) | −9.96200 | + | 7.23782i | −0.402361 | + | 0.292333i | −0.770502 | − | 0.637437i | \(-0.779994\pi\) |
0.368141 | + | 0.929770i | \(0.379994\pi\) | |||||||
\(614\) | −4.65685 | −0.187935 | ||||||||
\(615\) | −3.10051 | −0.125024 | ||||||||
\(616\) | −1.72316 | + | 1.25195i | −0.0694281 | + | 0.0504424i | ||||
\(617\) | −10.2854 | + | 31.6552i | −0.414075 | + | 1.27439i | 0.499001 | + | 0.866601i | \(0.333700\pi\) |
−0.913076 | + | 0.407790i | \(0.866300\pi\) | |||||||
\(618\) | 0.109806 | + | 0.337948i | 0.00441704 | + | 0.0135942i | ||||
\(619\) | −20.3431 | −0.817660 | −0.408830 | − | 0.912611i | \(-0.634063\pi\) | ||||
−0.408830 | + | 0.912611i | \(0.634063\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 9.65685 | 0.387516 | ||||||||
\(622\) | 1.44814 | + | 4.45693i | 0.0580653 | + | 0.178707i | ||||
\(623\) | −0.574112 | + | 1.76693i | −0.0230013 | + | 0.0707907i | ||||
\(624\) | 3.84878 | − | 2.79631i | 0.154075 | − | 0.111942i | ||||
\(625\) | 11.0000 | 0.440000 | ||||||||
\(626\) | −0.757359 | −0.0302702 | ||||||||
\(627\) | −4.79661 | + | 3.48494i | −0.191558 | + | 0.139175i | ||||
\(628\) | 13.5669 | + | 9.85690i | 0.541376 | + | 0.393333i | ||||
\(629\) | 4.71530 | + | 3.42586i | 0.188011 | + | 0.136598i | ||||
\(630\) | 0.149960 | + | 0.461530i | 0.00597456 | + | 0.0183878i | ||||
\(631\) | −40.4607 | + | 29.3964i | −1.61072 | + | 1.17025i | −0.749516 | + | 0.661986i | \(0.769714\pi\) |
−0.861199 | + | 0.508268i | \(0.830286\pi\) | |||||||
\(632\) | 3.31134 | + | 10.1913i | 0.131718 | + | 0.405387i | ||||
\(633\) | 1.33301 | − | 4.10258i | 0.0529824 | − | 0.163063i | ||||
\(634\) | 2.62335 | + | 1.90598i | 0.104187 | + | 0.0756960i | ||||
\(635\) | 2.75010 | − | 8.46392i | 0.109134 | − | 0.335881i | ||||
\(636\) | −1.36407 | + | 4.19817i | −0.0540888 | + | 0.166468i | ||||
\(637\) | −21.1494 | − | 15.3660i | −0.837971 | − | 0.608822i | ||||
\(638\) | −2.83417 | + | 8.72268i | −0.112206 | + | 0.345334i | ||||
\(639\) | −0.0621155 | − | 0.191172i | −0.00245725 | − | 0.00756265i | ||||
\(640\) | 8.54027 | − | 6.20487i | 0.337584 | − | 0.245269i | ||||
\(641\) | −4.31714 | − | 13.2868i | −0.170517 | − | 0.524797i | 0.828884 | − | 0.559421i | \(-0.188977\pi\) |
−0.999400 | + | 0.0346243i | \(0.988977\pi\) | |||||||
\(642\) | −1.72316 | − | 1.25195i | −0.0680077 | − | 0.0494105i | ||||
\(643\) | −28.5694 | − | 20.7569i | −1.12667 | − | 0.818571i | −0.141460 | − | 0.989944i | \(-0.545180\pi\) |
−0.985206 | + | 0.171373i | \(0.945180\pi\) | |||||||
\(644\) | 2.45087 | − | 1.78066i | 0.0965777 | − | 0.0701678i | ||||
\(645\) | −4.51472 | −0.177767 | ||||||||
\(646\) | −10.6569 | −0.419288 | ||||||||
\(647\) | 36.6596 | − | 26.6347i | 1.44124 | − | 1.04712i | 0.453454 | − | 0.891280i | \(-0.350192\pi\) |
0.987782 | − | 0.155839i | \(-0.0498082\pi\) | |||||||
\(648\) | −3.66805 | + | 11.2891i | −0.144095 | + | 0.443478i | ||||
\(649\) | 4.07934 | + | 12.5549i | 0.160128 | + | 0.492823i | ||||
\(650\) | 6.34315 | 0.248799 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −38.3431 | −1.50163 | ||||||||
\(653\) | −1.89802 | − | 5.84152i | −0.0742754 | − | 0.228596i | 0.907026 | − | 0.421075i | \(-0.138347\pi\) |
−0.981301 | + | 0.192479i | \(0.938347\pi\) | |||||||
\(654\) | −0.574112 | + | 1.76693i | −0.0224495 | + | 0.0690926i | ||||
\(655\) | 10.7135 | − | 7.78383i | 0.418612 | − | 0.304139i | ||||
\(656\) | −22.4558 | −0.876753 | ||||||||
\(657\) | 5.17157 | 0.201762 | ||||||||
\(658\) | 1.34042 | − | 0.973874i | 0.0522551 | − | 0.0379656i | ||||
\(659\) | 1.34042 | + | 0.973874i | 0.0522155 | + | 0.0379368i | 0.613587 | − | 0.789627i | \(-0.289726\pi\) |
−0.561371 | + | 0.827564i | \(0.689726\pi\) | |||||||
\(660\) | 1.98682 | + | 1.44351i | 0.0773368 | + | 0.0561885i | ||||
\(661\) | 1.50116 | + | 4.62010i | 0.0583885 | + | 0.179701i | 0.975997 | − | 0.217784i | \(-0.0698829\pi\) |
−0.917608 | + | 0.397485i | \(0.869883\pi\) | |||||||
\(662\) | −3.09726 | + | 2.25029i | −0.120379 | + | 0.0874601i | ||||
\(663\) | 2.85613 | + | 8.79027i | 0.110923 | + | 0.341386i | ||||
\(664\) | 4.93518 | − | 15.1889i | 0.191522 | − | 0.589444i | ||||
\(665\) | 1.47923 | + | 1.07472i | 0.0573620 | + | 0.0416760i | ||||
\(666\) | −0.362036 | + | 1.11423i | −0.0140286 | + | 0.0431756i | ||||
\(667\) | 8.44040 | − | 25.9769i | 0.326814 | − | 1.00583i | ||||
\(668\) | 33.3660 | + | 24.2418i | 1.29097 | + | 0.937944i | ||||
\(669\) | −3.03715 | + | 9.34739i | −0.117423 | + | 0.361391i | ||||
\(670\) | 0.415055 | + | 1.27741i | 0.0160350 | + | 0.0493506i | ||||
\(671\) | 7.41996 | − | 5.39092i | 0.286444 | − | 0.208114i | ||||
\(672\) | −0.234037 | − | 0.720292i | −0.00902817 | − | 0.0277858i | ||||
\(673\) | −7.55876 | − | 5.49176i | −0.291369 | − | 0.211692i | 0.432492 | − | 0.901638i | \(-0.357634\pi\) |
−0.723861 | + | 0.689946i | \(0.757634\pi\) | |||||||
\(674\) | −3.12108 | − | 2.26760i | −0.120219 | − | 0.0873445i | ||||
\(675\) | −7.81256 | + | 5.67616i | −0.300706 | + | 0.218475i | ||||
\(676\) | −3.02944 | −0.116517 | ||||||||
\(677\) | −38.5980 | −1.48344 | −0.741720 | − | 0.670709i | \(-0.765990\pi\) | ||||
−0.741720 | + | 0.670709i | \(0.765990\pi\) | |||||||
\(678\) | −2.31206 | + | 1.67981i | −0.0887942 | + | 0.0645127i | ||||
\(679\) | −0.661956 | + | 2.03729i | −0.0254036 | + | 0.0781841i | ||||
\(680\) | 2.85613 | + | 8.79027i | 0.109528 | + | 0.337092i | ||||
\(681\) | −7.62742 | −0.292283 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −1.37258 | −0.0525204 | −0.0262602 | − | 0.999655i | \(-0.508360\pi\) | ||||
−0.0262602 | + | 0.999655i | \(0.508360\pi\) | |||||||
\(684\) | 7.05437 | + | 21.7111i | 0.269731 | + | 0.830146i | ||||
\(685\) | 2.93111 | − | 9.02104i | 0.111992 | − | 0.344676i | ||||
\(686\) | −1.91946 | + | 1.39457i | −0.0732853 | + | 0.0532449i | ||||
\(687\) | −2.27208 | −0.0866852 | ||||||||
\(688\) | −32.6985 | −1.24662 | ||||||||
\(689\) | 18.0522 | − | 13.1157i | 0.687733 | − | 0.499667i | ||||
\(690\) | 0.555221 | + | 0.403392i | 0.0211369 | + | 0.0153569i | ||||
\(691\) | 0.0574951 | + | 0.0417726i | 0.00218722 | + | 0.00158911i | 0.588878 | − | 0.808222i | \(-0.299570\pi\) |
−0.586691 | + | 0.809811i | \(0.699570\pi\) | |||||||
\(692\) | −4.69737 | − | 14.4570i | −0.178567 | − | 0.549573i | ||||
\(693\) | −3.07345 | + | 2.23299i | −0.116751 | + | 0.0848243i | ||||
\(694\) | −1.09520 | − | 3.37069i | −0.0415734 | − | 0.127950i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −3.62867 | − | 2.63638i | −0.137544 | − | 0.0999318i | ||||
\(697\) | 13.4816 | − | 41.4921i | 0.510653 | − | 1.57163i | ||||
\(698\) | −3.47040 | + | 10.6808i | −0.131357 | + | 0.404274i | ||||
\(699\) | 3.07345 | + | 2.23299i | 0.116248 | + | 0.0844594i | ||||
\(700\) | −0.936148 | + | 2.88117i | −0.0353831 | + | 0.108898i | ||||
\(701\) | −4.16718 | − | 12.8253i | −0.157392 | − | 0.484404i | 0.841003 | − | 0.541030i | \(-0.181966\pi\) |
−0.998395 | + | 0.0566266i | \(0.981966\pi\) | |||||||
\(702\) | −3.09726 | + | 2.25029i | −0.116899 | + | 0.0849318i | ||||
\(703\) | 1.36407 | + | 4.19817i | 0.0514468 | + | 0.158337i | ||||
\(704\) | 10.9435 | + | 7.95092i | 0.412449 | + | 0.299662i | ||||
\(705\) | −3.23607 | − | 2.35114i | −0.121877 | − | 0.0885491i | ||||
\(706\) | −1.00532 | + | 0.730406i | −0.0378356 | + | 0.0274892i | ||||
\(707\) | 3.51472 | 0.132185 | ||||||||
\(708\) | −3.08326 | −0.115876 | ||||||||
\(709\) | −14.0071 | + | 10.1767i | −0.526047 | + | 0.382196i | −0.818877 | − | 0.573969i | \(-0.805403\pi\) |
0.292830 | + | 0.956165i | \(0.405403\pi\) | |||||||
\(710\) | 0.00909661 | − | 0.0279965i | 0.000341390 | − | 0.00105069i | ||||
\(711\) | 5.90615 | + | 18.1773i | 0.221498 | + | 0.681700i | ||||
\(712\) | −7.11270 | −0.266560 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0.414214 | 0.0155016 | ||||||||
\(715\) | −3.83620 | − | 11.8066i | −0.143466 | − | 0.441543i | ||||
\(716\) | 8.61232 | − | 26.5060i | 0.321858 | − | 0.990576i | ||||
\(717\) | 7.11853 | − | 5.17192i | 0.265846 | − | 0.193149i | ||||
\(718\) | 2.94113 | 0.109762 | ||||||||
\(719\) | −8.07107 | −0.301000 | −0.150500 | − | 0.988610i | \(-0.548088\pi\) | ||||
−0.150500 | + | 0.988610i | \(0.548088\pi\) | |||||||
\(720\) | 6.86474 | − | 4.98752i | 0.255834 | − | 0.185874i | ||||
\(721\) | 0.694027 | + | 0.504240i | 0.0258469 | + | 0.0187789i | ||||
\(722\) | −0.162621 | − | 0.118151i | −0.00605211 | − | 0.00439712i | ||||
\(723\) | 1.70791 | + | 5.25641i | 0.0635178 | + | 0.195488i | ||||
\(724\) | 18.2148 | − | 13.2338i | 0.676947 | − | 0.491831i | ||||
\(725\) | 8.44040 | + | 25.9769i | 0.313469 | + | 0.964757i | ||||
\(726\) | −0.0257291 | + | 0.0791860i | −0.000954897 | + | 0.00293887i | ||||
\(727\) | −33.0408 | − | 24.0055i | −1.22541 | − | 0.890315i | −0.228876 | − | 0.973456i | \(-0.573505\pi\) |
−0.996538 | + | 0.0831403i | \(0.973505\pi\) | |||||||
\(728\) | −0.777091 | + | 2.39164i | −0.0288009 | + | 0.0886401i | ||||
\(729\) | −5.61532 | + | 17.2822i | −0.207975 | + | 0.640081i | ||||
\(730\) | 0.612717 | + | 0.445165i | 0.0226777 | + | 0.0164763i | ||||
\(731\) | 19.6309 | − | 60.4177i | 0.726075 | − | 2.23463i | ||||
\(732\) | 0.661956 | + | 2.03729i | 0.0244666 | + | 0.0753005i | ||||
\(733\) | −12.6428 | + | 9.18557i | −0.466974 | + | 0.339277i | −0.796261 | − | 0.604953i | \(-0.793192\pi\) |
0.329287 | + | 0.944230i | \(0.393192\pi\) | |||||||
\(734\) | −3.09927 | − | 9.53856i | −0.114396 | − | 0.352075i | ||||
\(735\) | 2.28825 | + | 1.66251i | 0.0844032 | + | 0.0613225i | ||||
\(736\) | 14.2847 | + | 10.3784i | 0.526541 | + | 0.382554i | ||||
\(737\) | −8.50659 | + | 6.18040i | −0.313344 | + | 0.227658i | ||||
\(738\) | 8.76955 | 0.322812 | ||||||||
\(739\) | 45.8701 | 1.68736 | 0.843679 | − | 0.536848i | \(-0.180385\pi\) | ||||
0.843679 | + | 0.536848i | \(0.180385\pi\) | |||||||
\(740\) | 1.47923 | − | 1.07472i | 0.0543775 | − | 0.0395076i | ||||
\(741\) | −2.16312 | + | 6.65740i | −0.0794642 | + | 0.244566i | ||||
\(742\) | −0.309017 | − | 0.951057i | −0.0113444 | − | 0.0349144i | ||||
\(743\) | 5.65685 | 0.207530 | 0.103765 | − | 0.994602i | \(-0.466911\pi\) | ||||
0.103765 | + | 0.994602i | \(0.466911\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.00000 | 0.0366372 | ||||||||
\(746\) | 1.27999 | + | 3.93941i | 0.0468638 | + | 0.144232i | ||||
\(747\) | 8.80244 | − | 27.0911i | 0.322064 | − | 0.991212i | ||||
\(748\) | −27.9567 | + | 20.3117i | −1.02220 | + | 0.742670i | ||||
\(749\) | −5.14214 | −0.187890 | ||||||||
\(750\) | −1.54416 | −0.0563846 | ||||||||
\(751\) | −5.85942 | + | 4.25712i | −0.213813 | + | 0.155344i | −0.689537 | − | 0.724250i | \(-0.742186\pi\) |
0.475724 | + | 0.879595i | \(0.342186\pi\) | |||||||
\(752\) | −23.4377 | − | 17.0285i | −0.854684 | − | 0.620964i | ||||
\(753\) | −2.14944 | − | 1.56166i | −0.0783300 | − | 0.0569100i | ||||
\(754\) | 3.34617 | + | 10.2984i | 0.121860 | + | 0.375047i | ||||
\(755\) | −4.29888 | + | 3.12332i | −0.156452 | + | 0.113669i | ||||
\(756\) | −0.565015 | − | 1.73894i | −0.0205494 | − | 0.0632445i | ||||
\(757\) | 7.21343 | − | 22.2007i | 0.262177 | − | 0.806896i | −0.730154 | − | 0.683283i | \(-0.760552\pi\) |
0.992330 | − | 0.123614i | \(-0.0394483\pi\) | |||||||
\(758\) | −2.47468 | − | 1.79796i | −0.0898845 | − | 0.0653049i | ||||
\(759\) | −1.66022 | + | 5.10963i | −0.0602621 | + | 0.185468i | ||||
\(760\) | −2.16312 | + | 6.65740i | −0.0784646 | + | 0.241489i | ||||
\(761\) | −24.6393 | − | 17.9015i | −0.893174 | − | 0.648929i | 0.0435298 | − | 0.999052i | \(-0.486140\pi\) |
−0.936704 | + | 0.350123i | \(0.886140\pi\) | |||||||
\(762\) | 0.471842 | − | 1.45218i | 0.0170930 | − | 0.0526069i | ||||
\(763\) | 1.38603 | + | 4.26576i | 0.0501776 | + | 0.154431i | ||||
\(764\) | −30.9151 | + | 22.4612i | −1.11847 | + | 0.812616i | ||||
\(765\) | 5.09423 | + | 15.6784i | 0.184182 | + | 0.566855i | ||||
\(766\) | −1.70921 | − | 1.24181i | −0.0617562 | − | 0.0448685i | ||||
\(767\) | 12.6092 | + | 9.16110i | 0.455291 | + | 0.330788i | ||||
\(768\) | −1.33056 | + | 0.966707i | −0.0480124 | + | 0.0348831i | ||||
\(769\) | 36.1127 | 1.30226 | 0.651129 | − | 0.758967i | \(-0.274296\pi\) | ||||
0.651129 | + | 0.758967i | \(0.274296\pi\) | |||||||
\(770\) | −0.556349 | −0.0200494 | ||||||||
\(771\) | −7.47745 | + | 5.43269i | −0.269294 | + | 0.195653i | ||||
\(772\) | −4.03541 | + | 12.4197i | −0.145238 | + | 0.446996i | ||||
\(773\) | 5.56231 | + | 17.1190i | 0.200062 | + | 0.615728i | 0.999880 | + | 0.0154855i | \(0.00492938\pi\) |
−0.799818 | + | 0.600243i | \(0.795071\pi\) | |||||||
\(774\) | 12.7696 | 0.458992 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −8.20101 | −0.294399 | ||||||||
\(777\) | −0.0530189 | − | 0.163176i | −0.00190204 | − | 0.00585389i | ||||
\(778\) | −1.42618 | + | 4.38934i | −0.0511311 | + | 0.157365i | ||||
\(779\) | 26.7312 | − | 19.4214i | 0.957746 | − | 0.695843i | ||||
\(780\) | 2.89949 | 0.103819 | ||||||||
\(781\) | 0.230447 | 0.00824606 | ||||||||
\(782\) | −7.81256 | + | 5.67616i | −0.279377 | + | 0.202979i | ||||
\(783\) | −13.3369 | − | 9.68981i | −0.476621 | − | 0.346285i | ||||
\(784\) | 16.5729 | + | 12.0409i | 0.591891 | + | 0.430034i | ||||
\(785\) | 2.83417 | + | 8.72268i | 0.101156 | + | 0.311326i | ||||
\(786\) | 1.83815 | − | 1.33549i | 0.0655646 | − | 0.0476355i | ||||
\(787\) | 13.1067 | + | 40.3383i | 0.467204 | + | 1.43791i | 0.856190 | + | 0.516662i | \(0.172826\pi\) |
−0.388986 | + | 0.921244i | \(0.627174\pi\) | |||||||
\(788\) | 7.61939 | − | 23.4501i | 0.271429 | − | 0.835374i | ||||
\(789\) | 7.81256 | + | 5.67616i | 0.278134 | + | 0.202077i | ||||
\(790\) | −0.864935 | + | 2.66200i | −0.0307730 | + | 0.0947096i | ||||
\(791\) | −2.13206 | + | 6.56181i | −0.0758074 | + | 0.233311i | ||||
\(792\) | −11.7665 | − | 8.54884i | −0.418103 | − | 0.303770i | ||||
\(793\) | 3.34617 | − | 10.2984i | 0.118826 | − | 0.365709i | ||||
\(794\) | −4.28608 | − | 13.1912i | −0.152107 | − | 0.468138i | ||||
\(795\) | −1.95314 | + | 1.41904i | −0.0692707 | + | 0.0503281i | ||||
\(796\) | −10.4043 | − | 32.0212i | −0.368771 | − | 1.13496i | ||||
\(797\) | −23.0213 | − | 16.7259i | −0.815455 | − | 0.592463i | 0.0999521 | − | 0.994992i | \(-0.468131\pi\) |
−0.915407 | + | 0.402530i | \(0.868131\pi\) | |||||||
\(798\) | 0.253796 | + | 0.184393i | 0.00898426 | + | 0.00652745i | ||||
\(799\) | 45.5349 | − | 33.0831i | 1.61091 | − | 1.17039i | ||||
\(800\) | −17.6569 | −0.624264 | ||||||||
\(801\) | −12.6863 | −0.448248 | ||||||||
\(802\) | 8.99036 | − | 6.53188i | 0.317461 | − | 0.230649i | ||||
\(803\) | −1.83214 | + | 5.63875i | −0.0646548 | + | 0.198987i | ||||
\(804\) | −0.758898 | − | 2.33565i | −0.0267643 | − | 0.0823719i | ||||
\(805\) | 1.65685 | 0.0583964 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −10.8406 | −0.381608 | ||||||||
\(808\) | 4.15808 | + | 12.7973i | 0.146281 | + | 0.450206i | ||||
\(809\) | −3.71730 | + | 11.4407i | −0.130693 | + | 0.402233i | −0.994895 | − | 0.100912i | \(-0.967824\pi\) |
0.864202 | + | 0.503145i | \(0.167824\pi\) | |||||||
\(810\) | −2.50836 | + | 1.82243i | −0.0881348 | + | 0.0640337i | ||||
\(811\) | −13.7279 | −0.482053 | −0.241026 | − | 0.970519i | \(-0.577484\pi\) | ||||
−0.241026 | + | 0.970519i | \(0.577484\pi\) | |||||||
\(812\) | −5.17157 | −0.181487 | ||||||||
\(813\) | 0.229980 | − | 0.167090i | 0.00806576 | − | 0.00586012i | ||||
\(814\) | −1.08663 | − | 0.789481i | −0.0380863 | − | 0.0276713i | ||||
\(815\) | −16.9655 | − | 12.3262i | −0.594277 | − | 0.431768i | ||||
\(816\) | −2.23810 | − | 6.88816i | −0.0783491 | − | 0.241134i | ||||
\(817\) | 38.9240 | − | 28.2799i | 1.36178 | − | 0.989390i | ||||
\(818\) | 2.64406 | + | 8.13757i | 0.0924473 | + | 0.284524i | ||||
\(819\) | −1.38603 | + | 4.26576i | −0.0484317 | + | 0.149058i | ||||
\(820\) | −11.0724 | − | 8.04460i | −0.386666 | − | 0.280930i | ||||
\(821\) | 2.62210 | − | 8.06998i | 0.0915118 | − | 0.281644i | −0.894817 | − | 0.446433i | \(-0.852694\pi\) |
0.986329 | + | 0.164789i | \(0.0526942\pi\) | |||||||
\(822\) | 0.502900 | − | 1.54777i | 0.0175406 | − | 0.0539845i | ||||
\(823\) | −29.2971 | − | 21.2856i | −1.02123 | − | 0.741969i | −0.0546974 | − | 0.998503i | \(-0.517419\pi\) |
−0.966535 | + | 0.256534i | \(0.917419\pi\) | |||||||
\(824\) | −1.01490 | + | 3.12353i | −0.0353556 | + | 0.108813i | ||||
\(825\) | −1.66022 | − | 5.10963i | −0.0578014 | − | 0.177894i | ||||
\(826\) | 0.565086 | − | 0.410559i | 0.0196619 | − | 0.0142852i | ||||
\(827\) | 11.4026 | + | 35.0935i | 0.396506 | + | 1.22032i | 0.927782 | + | 0.373122i | \(0.121713\pi\) |
−0.531276 | + | 0.847199i | \(0.678287\pi\) | |||||||
\(828\) | 16.7356 | + | 12.1591i | 0.581601 | + | 0.422558i | ||||
\(829\) | −31.0876 | − | 22.5865i | −1.07972 | − | 0.784461i | −0.102084 | − | 0.994776i | \(-0.532551\pi\) |
−0.977634 | + | 0.210315i | \(0.932551\pi\) | |||||||
\(830\) | 3.37487 | − | 2.45199i | 0.117144 | − | 0.0851098i | ||||
\(831\) | 5.85786 | 0.203207 | ||||||||
\(832\) | 15.9706 | 0.553680 | ||||||||
\(833\) | −32.1981 | + | 23.3933i | −1.11560 | + | 0.810528i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.97030 | + | 21.4524i | 0.241217 | + | 0.742390i | ||||
\(836\) | −26.1716 | −0.905163 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 11.5980 | 0.400646 | ||||||||
\(839\) | −4.52012 | − | 13.9115i | −0.156052 | − | 0.480278i | 0.842214 | − | 0.539143i | \(-0.181252\pi\) |
−0.998266 | + | 0.0588649i | \(0.981252\pi\) | |||||||
\(840\) | 0.0840767 | − | 0.258761i | 0.00290092 | − | 0.00892812i | ||||
\(841\) | −14.2609 | + | 10.3611i | −0.491754 | + | 0.357281i | ||||
\(842\) | −12.8995 | −0.444546 | ||||||||
\(843\) | 0.828427 | 0.0285325 | ||||||||
\(844\) | 15.4050 | − | 11.1924i | 0.530262 | − | 0.385258i | ||||
\(845\) | −1.34042 | − | 0.973874i | −0.0461120 | − | 0.0335023i | ||||
\(846\) | 9.15298 | + | 6.65003i | 0.314686 | + | 0.228633i | ||||
\(847\) | 0.0621155 | + | 0.191172i | 0.00213432 | + | 0.00656875i | ||||
\(848\) | −14.1459 | + | 10.2776i | −0.485772 | + | 0.352934i | ||||
\(849\) | −1.74806 | − | 5.37999i | −0.0599934 | − | 0.184641i | ||||
\(850\) | 2.98413 | − | 9.18421i | 0.102355 | − | 0.315016i | ||||
\(851\) | 3.23607 | + | 2.35114i | 0.110931 | + | 0.0805961i | ||||
\(852\) | −0.0166325 | + | 0.0511895i | −0.000569820 | + | 0.00175372i | ||||
\(853\) | −4.79431 | + | 14.7554i | −0.164154 | + | 0.505214i | −0.998973 | − | 0.0453103i | \(-0.985572\pi\) |
0.834819 | + | 0.550525i | \(0.185572\pi\) | |||||||
\(854\) | −0.392601 | − | 0.285241i | −0.0134345 | − | 0.00976075i | ||||
\(855\) | −3.85816 | + | 11.8742i | −0.131946 | + | 0.406089i | ||||
\(856\) | −6.08340 | − | 18.7228i | −0.207926 | − | 0.639931i | ||||
\(857\) | 15.7639 | − | 11.4532i | 0.538485 | − | 0.391233i | −0.285037 | − | 0.958517i | \(-0.592006\pi\) |
0.823522 | + | 0.567284i | \(0.192006\pi\) | |||||||
\(858\) | −0.658188 | − | 2.02570i | −0.0224702 | − | 0.0691561i | ||||
\(859\) | 39.9531 | + | 29.0276i | 1.36318 | + | 0.990410i | 0.998235 | + | 0.0593824i | \(0.0189131\pi\) |
0.364948 | + | 0.931028i | \(0.381087\pi\) | |||||||
\(860\) | −16.1228 | − | 11.7139i | −0.549784 | − | 0.399442i | ||||
\(861\) | −1.03900 | + | 0.754876i | −0.0354089 | + | 0.0257261i | ||||
\(862\) | −6.94113 | −0.236416 | ||||||||
\(863\) | −2.61522 | −0.0890232 | −0.0445116 | − | 0.999009i | \(-0.514173\pi\) | ||||
−0.0445116 | + | 0.999009i | \(0.514173\pi\) | |||||||
\(864\) | 8.62158 | − | 6.26394i | 0.293312 | − | 0.213104i | ||||
\(865\) | 2.56908 | − | 7.90681i | 0.0873512 | − | 0.268839i | ||||
\(866\) | 3.47040 | + | 10.6808i | 0.117929 | + | 0.362948i | ||||
\(867\) | 7.02944 | 0.238732 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −21.9117 | −0.743303 | ||||||||
\(870\) | −0.362036 | − | 1.11423i | −0.0122742 | − | 0.0377760i | ||||
\(871\) | −3.83620 | + | 11.8066i | −0.129985 | + | 0.400052i | ||||
\(872\) | −13.8921 | + | 10.0932i | −0.470446 | + | 0.341799i | ||||
\(873\) | −14.6274 | −0.495063 | ||||||||
\(874\) | −7.31371 | −0.247390 | ||||||||
\(875\) | −3.01595 | + | 2.19122i | −0.101958 | + | 0.0740767i | ||||
\(876\) | −1.12031 | − | 0.813951i | −0.0378517 | − | 0.0275009i | ||||
\(877\) | −43.5481 | − | 31.6396i | −1.47052 | − | 1.06839i | −0.980464 | − | 0.196698i | \(-0.936978\pi\) |
−0.490051 | − | 0.871694i | \(-0.663022\pi\) | |||||||
\(878\) | 0.265095 | + | 0.815878i | 0.00894651 | + | 0.0275345i | ||||
\(879\) | −4.95923 | + | 3.60309i | −0.167271 | + | 0.121529i | ||||
\(880\) | 3.00609 | + | 9.25180i | 0.101335 | + | 0.311878i | ||||
\(881\) | 3.61126 | − | 11.1143i | 0.121667 | − | 0.374451i | −0.871612 | − | 0.490196i | \(-0.836925\pi\) |
0.993279 | + | 0.115744i | \(0.0369254\pi\) | |||||||
\(882\) | −6.47214 | − | 4.70228i | −0.217928 | − | 0.158334i | ||||
\(883\) | −9.35835 | + | 28.8021i | −0.314934 | + | 0.969266i | 0.660848 | + | 0.750520i | \(0.270197\pi\) |
−0.975782 | + | 0.218747i | \(0.929803\pi\) | |||||||
\(884\) | −12.6076 | + | 38.8021i | −0.424039 | + | 1.30506i | ||||
\(885\) | −1.36424 | − | 0.991177i | −0.0458584 | − | 0.0333181i | ||||
\(886\) | −0.608937 | + | 1.87412i | −0.0204577 | + | 0.0629622i | ||||
\(887\) | −15.8606 | − | 48.8138i | −0.532546 | − | 1.63901i | −0.748893 | − | 0.662691i | \(-0.769414\pi\) |
0.216347 | − | 0.976317i | \(-0.430586\pi\) | |||||||
\(888\) | 0.531406 | − | 0.386089i | 0.0178328 | − | 0.0129563i | ||||
\(889\) | −1.13913 | − | 3.50587i | −0.0382051 | − | 0.117583i | ||||
\(890\) | −1.50304 | − | 1.09203i | −0.0503821 | − | 0.0366048i | ||||
\(891\) | −19.6365 | − | 14.2668i | −0.657848 | − | 0.477955i | ||||
\(892\) | −35.0990 | + | 25.5009i | −1.17520 | + | 0.853834i | ||||
\(893\) | 42.6274 | 1.42647 | ||||||||
\(894\) | 0.171573 | 0.00573826 | ||||||||
\(895\) | 12.3316 | − | 8.95940i | 0.412198 | − | 0.299480i | ||||
\(896\) | 1.35120 | − | 4.15857i | 0.0451405 | − | 0.138928i | ||||
\(897\) | 1.96014 | + | 6.03269i | 0.0654472 | + | 0.201426i | ||||
\(898\) | −16.8284 | −0.561572 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −20.6863 | −0.689543 | ||||||||
\(901\) | −10.4975 | − | 32.3079i | −0.349722 | − | 1.07633i | ||||
\(902\) | −3.10680 | + | 9.56175i | −0.103445 | + | 0.318372i | ||||
\(903\) | −1.51291 | + | 1.09919i | −0.0503464 | + | 0.0365788i | ||||
\(904\) | −26.4142 | −0.878524 | ||||||||
\(905\) | 12.3137 | 0.409322 | ||||||||
\(906\) | −0.737571 | + | 0.535877i | −0.0245042 | + | 0.0178033i | ||||
\(907\) | −26.4438 | − | 19.2125i | −0.878051 | − | 0.637941i | 0.0546843 | − | 0.998504i | \(-0.482585\pi\) |
−0.932735 | + | 0.360562i | \(0.882585\pi\) | |||||||
\(908\) | −27.2388 | − | 19.7902i | −0.903952 | − | 0.656760i | ||||
\(909\) | 7.41641 | + | 22.8254i | 0.245987 | + | 0.757069i | ||||
\(910\) | −0.531406 | + | 0.386089i | −0.0176159 | + | 0.0127987i | ||||
\(911\) | 0.296152 | + | 0.911464i | 0.00981197 | + | 0.0301981i | 0.955843 | − | 0.293879i | \(-0.0949463\pi\) |
−0.946031 | + | 0.324077i | \(0.894946\pi\) | |||||||
\(912\) | 1.69505 | − | 5.21681i | 0.0561286 | − | 0.172746i | ||||
\(913\) | 26.4200 | + | 19.1952i | 0.874373 | + | 0.635269i | ||||
\(914\) | −3.98240 | + | 12.2566i | −0.131726 | + | 0.405411i | ||||
\(915\) | −0.362036 | + | 1.11423i | −0.0119685 | + | 0.0368354i | ||||
\(916\) | −8.11399 | − | 5.89516i | −0.268094 | − | 0.194781i | ||||
\(917\) | 1.69505 | − | 5.21681i | 0.0559753 | − | 0.172274i | ||||
\(918\) | 1.80108 | + | 5.54316i | 0.0594446 | + | 0.182952i | ||||
\(919\) | 28.2343 | − | 20.5134i | 0.931363 | − | 0.676675i | −0.0149631 | − | 0.999888i | \(-0.504763\pi\) |
0.946326 | + | 0.323213i | \(0.104763\pi\) | |||||||
\(920\) | 1.96014 | + | 6.03269i | 0.0646239 | + | 0.198892i | ||||
\(921\) | 3.76747 | + | 2.73723i | 0.124142 | + | 0.0901948i | ||||
\(922\) | 0.717842 | + | 0.521543i | 0.0236409 | + | 0.0171761i | ||||
\(923\) | 0.220116 | − | 0.159923i | 0.00724520 | − | 0.00526394i | ||||
\(924\) | 1.01724 | 0.0334649 | ||||||||
\(925\) | −4.00000 | −0.131519 | ||||||||
\(926\) | 3.00609 | − | 2.18405i | 0.0987862 | − | 0.0717724i | ||||
\(927\) | −1.81018 | + | 5.57116i | −0.0594541 | + | 0.182981i | ||||
\(928\) | −9.31443 | − | 28.6669i | −0.305761 | − | 0.941036i | ||||
\(929\) | 7.51472 | 0.246550 | 0.123275 | − | 0.992373i | \(-0.460660\pi\) | ||||
0.123275 | + | 0.992373i | \(0.460660\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −30.1421 | −0.987869 | ||||||||
\(932\) | 5.18208 | + | 15.9488i | 0.169745 | + | 0.522420i | ||||
\(933\) | 1.44814 | − | 4.45693i | 0.0474101 | − | 0.145913i | ||||
\(934\) | 2.68085 | − | 1.94775i | 0.0877200 | − | 0.0637323i | ||||
\(935\) | −18.8995 | −0.618080 | ||||||||
\(936\) | −17.1716 | −0.561270 | ||||||||
\(937\) | −12.6905 | + | 9.22017i | −0.414580 | + | 0.301210i | −0.775453 | − | 0.631405i | \(-0.782479\pi\) |
0.360874 | + | 0.932615i | \(0.382479\pi\) | |||||||
\(938\) | 0.450096 | + | 0.327014i | 0.0146962 | + | 0.0106774i | ||||
\(939\) | 0.612717 | + | 0.445165i | 0.0199952 | + | 0.0145274i | ||||
\(940\) | −5.45627 | − | 16.7927i | −0.177964 | − | 0.547716i | ||||
\(941\) | 28.3156 | − | 20.5725i | 0.923062 | − | 0.670644i | −0.0212223 | − | 0.999775i | \(-0.506756\pi\) |
0.944284 | + | 0.329131i | \(0.106756\pi\) | |||||||
\(942\) | 0.486267 | + | 1.49658i | 0.0158434 | + | 0.0487611i | ||||
\(943\) | 9.25232 | − | 28.4757i | 0.301297 | − | 0.927296i | ||||
\(944\) | −9.88069 | − | 7.17874i | −0.321589 | − | 0.233648i | ||||
\(945\) | 0.309017 | − | 0.951057i | 0.0100523 | − | 0.0309379i | ||||
\(946\) | −4.52389 | + | 13.9231i | −0.147084 | + | 0.452679i | ||||
\(947\) | −15.4526 | − | 11.2270i | −0.502143 | − | 0.364828i | 0.307692 | − | 0.951486i | \(-0.400443\pi\) |
−0.809835 | + | 0.586658i | \(0.800443\pi\) | |||||||
\(948\) | 1.58147 | − | 4.86727i | 0.0513638 | − | 0.158082i | ||||
\(949\) | 2.16312 | + | 6.65740i | 0.0702178 | + | 0.216108i | ||||
\(950\) | 5.91691 | − | 4.29889i | 0.191970 | − | 0.139474i | ||||
\(951\) | −1.00203 | − | 3.08393i | −0.0324931 | − | 0.100003i | ||||
\(952\) | 3.09726 | + | 2.25029i | 0.100383 | + | 0.0729324i | ||||
\(953\) | −2.84347 | − | 2.06590i | −0.0921089 | − | 0.0669211i | 0.540778 | − | 0.841166i | \(-0.318130\pi\) |
−0.632887 | + | 0.774245i | \(0.718130\pi\) | |||||||
\(954\) | 5.52431 | − | 4.01365i | 0.178856 | − | 0.129947i | ||||
\(955\) | −20.8995 | −0.676292 | ||||||||
\(956\) | 38.8406 | 1.25620 | ||||||||
\(957\) | 7.41996 | − | 5.39092i | 0.239853 | − | 0.174264i | ||||
\(958\) | −2.01316 | + | 6.19587i | −0.0650422 | + | 0.200179i | ||||
\(959\) | −1.21411 | − | 3.73664i | −0.0392056 | − | 0.120662i | ||||
\(960\) | −1.72792 | −0.0557684 | ||||||||
\(961\) | 0 | 0 | ||||||||
\(962\) | −1.58579 | −0.0511278 | ||||||||
\(963\) | −10.8504 | − | 33.3942i | −0.349650 | − | 1.07611i | ||||
\(964\) | −7.53908 | + | 23.2029i | −0.242817 | + | 0.747315i | ||||
\(965\) | −5.77811 | + | 4.19804i | −0.186004 | + | 0.135140i | ||||
\(966\) | 0.284271 | 0.00914628 | ||||||||
\(967\) | −15.4437 | −0.496634 | −0.248317 | − | 0.968679i | \(-0.579878\pi\) | ||||
−0.248317 | + | 0.968679i | \(0.579878\pi\) | |||||||
\(968\) | −0.622581 | + | 0.452332i | −0.0200105 | + | 0.0145385i | ||||
\(969\) | 8.62158 | + | 6.26394i | 0.276965 | + | 0.201227i | ||||
\(970\) | −1.73302 | − | 1.25912i | −0.0556441 | − | 0.0404278i | ||||
\(971\) | −0.215844 | − | 0.664299i | −0.00692675 | − | 0.0213184i | 0.947533 | − | 0.319657i | \(-0.103568\pi\) |
−0.954460 | + | 0.298338i | \(0.903568\pi\) | |||||||
\(972\) | 15.2999 | − | 11.1160i | 0.490744 | − | 0.356546i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 2.48123 | − | 7.63645i | 0.0795038 | − | 0.244688i | ||||
\(975\) | −5.13171 | − | 3.72841i | −0.164346 | − | 0.119405i | ||||
\(976\) | −2.62210 | + | 8.06998i | −0.0839313 | + | 0.258314i | ||||
\(977\) | −0.149960 | + | 0.461530i | −0.00479765 | + | 0.0147657i | −0.953427 | − | 0.301625i | \(-0.902471\pi\) |
0.948629 | + | 0.316391i | \(0.102471\pi\) | |||||||
\(978\) | −2.91083 | − | 2.11484i | −0.0930780 | − | 0.0676251i | ||||
\(979\) | 4.49439 | − | 13.8323i | 0.143641 | − | 0.442083i | ||||
\(980\) | 3.85816 | + | 11.8742i | 0.123245 | + | 0.379308i | ||||
\(981\) | −24.7781 | + | 18.0023i | −0.791104 | + | 0.574771i | ||||
\(982\) | 0.202979 | + | 0.624706i | 0.00647732 | + | 0.0199352i | ||||
\(983\) | 31.4227 | + | 22.8299i | 1.00223 | + | 0.728162i | 0.962565 | − | 0.271051i | \(-0.0873712\pi\) |
0.0396642 | + | 0.999213i | \(0.487371\pi\) | |||||||
\(984\) | −3.97773 | − | 2.88999i | −0.126805 | − | 0.0921294i | ||||
\(985\) | 10.9098 | − | 7.92645i | 0.347616 | − | 0.252558i | ||||
\(986\) | 16.4853 | 0.524998 | ||||||||
\(987\) | −1.65685 | −0.0527383 | ||||||||
\(988\) | −24.9982 | + | 18.1623i | −0.795299 | + | 0.577819i | ||||
\(989\) | 13.4725 | − | 41.4641i | 0.428401 | − | 1.31848i | ||||
\(990\) | −1.17395 | − | 3.61305i | −0.0373107 | − | 0.114830i | ||||
\(991\) | 47.9411 | 1.52290 | 0.761450 | − | 0.648224i | \(-0.224488\pi\) | ||||
0.761450 | + | 0.648224i | \(0.224488\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 3.82843 | 0.121491 | ||||||||
\(994\) | −0.00376794 | − | 0.0115965i | −0.000119512 | − | 0.000367819i | ||||
\(995\) | 5.69030 | − | 17.5130i | 0.180395 | − | 0.555198i | ||||
\(996\) | −6.17071 | + | 4.48328i | −0.195526 | + | 0.142058i | ||||
\(997\) | 32.5980 | 1.03239 | 0.516194 | − | 0.856472i | \(-0.327348\pi\) | ||||
0.516194 | + | 0.856472i | \(0.327348\pi\) | |||||||
\(998\) | −0.916739 | −0.0290189 | ||||||||
\(999\) | 1.95314 | − | 1.41904i | 0.0617946 | − | 0.0448964i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))