Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.26 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.26 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.929939 | − | 1.06546i | −0.657566 | − | 0.753397i | ||||
\(3\) | 1.69568 | + | 0.353101i | 0.978999 | + | 0.203863i | ||||
\(4\) | −0.270427 | + | 1.98163i | −0.135213 | + | 0.990816i | ||||
\(5\) | 2.09702 | + | 2.39119i | 0.937815 | + | 1.06937i | 0.997465 | + | 0.0711536i | \(0.0226680\pi\) |
−0.0596505 | + | 0.998219i | \(0.518999\pi\) | |||||||
\(6\) | −1.20066 | − | 2.13504i | −0.490167 | − | 0.871628i | ||||
\(7\) | 1.56439 | + | 0.205956i | 0.591284 | + | 0.0778440i | 0.420230 | − | 0.907418i | \(-0.361949\pi\) |
0.171054 | + | 0.985262i | \(0.445283\pi\) | |||||||
\(8\) | 2.36284 | − | 1.55467i | 0.835390 | − | 0.549658i | ||||
\(9\) | 2.75064 | + | 1.19749i | 0.916880 | + | 0.399163i | ||||
\(10\) | 0.597629 | − | 4.45796i | 0.188987 | − | 1.40973i | ||||
\(11\) | −1.23600 | − | 2.50637i | −0.372669 | − | 0.755699i | 0.627060 | − | 0.778971i | \(-0.284258\pi\) |
−0.999729 | + | 0.0232724i | \(0.992591\pi\) | |||||||
\(12\) | −1.15827 | + | 3.26472i | −0.334364 | + | 0.942444i | ||||
\(13\) | −1.88256 | − | 5.54586i | −0.522129 | − | 1.53814i | −0.813519 | − | 0.581539i | \(-0.802451\pi\) |
0.291389 | − | 0.956605i | \(-0.405883\pi\) | |||||||
\(14\) | −1.23535 | − | 1.85833i | −0.330161 | − | 0.496659i | ||||
\(15\) | 2.71153 | + | 4.79514i | 0.700115 | + | 1.23810i | ||||
\(16\) | −3.85374 | − | 1.07177i | −0.963435 | − | 0.267943i | ||||
\(17\) | 1.62739 | + | 1.62739i | 0.394700 | + | 0.394700i | 0.876359 | − | 0.481659i | \(-0.159965\pi\) |
−0.481659 | + | 0.876359i | \(0.659965\pi\) | |||||||
\(18\) | −1.28205 | − | 4.04430i | −0.302181 | − | 0.953251i | ||||
\(19\) | −0.537468 | + | 2.70203i | −0.123304 | + | 0.619889i | 0.868872 | + | 0.495037i | \(0.164846\pi\) |
−0.992175 | + | 0.124852i | \(0.960154\pi\) | |||||||
\(20\) | −5.30555 | + | 3.50888i | −1.18636 | + | 0.784609i | ||||
\(21\) | 2.57998 | + | 0.901622i | 0.562997 | + | 0.196750i | ||||
\(22\) | −1.52104 | + | 3.64769i | −0.324286 | + | 0.777690i | ||||
\(23\) | 0.443102 | + | 3.36570i | 0.0923932 | + | 0.701796i | 0.973469 | + | 0.228820i | \(0.0734868\pi\) |
−0.881075 | + | 0.472976i | \(0.843180\pi\) | |||||||
\(24\) | 4.55557 | − | 1.80189i | 0.929901 | − | 0.367810i | ||||
\(25\) | −0.667677 | + | 5.07151i | −0.133535 | + | 1.01430i | ||||
\(26\) | −4.15824 | + | 7.16311i | −0.815498 | + | 1.40480i | ||||
\(27\) | 4.24136 | + | 3.00181i | 0.816251 | + | 0.577698i | ||||
\(28\) | −0.831182 | + | 3.04435i | −0.157079 | + | 0.575328i | ||||
\(29\) | 9.16573 | − | 0.600754i | 1.70203 | − | 0.111557i | 0.816865 | − | 0.576828i | \(-0.195710\pi\) |
0.885168 | + | 0.465271i | \(0.154043\pi\) | |||||||
\(30\) | 2.58749 | − | 7.34823i | 0.472409 | − | 1.34160i | ||||
\(31\) | −2.25915 | + | 1.30432i | −0.405756 | + | 0.234263i | −0.688965 | − | 0.724795i | \(-0.741934\pi\) |
0.283209 | + | 0.959058i | \(0.408601\pi\) | |||||||
\(32\) | 2.44181 | + | 5.10270i | 0.431654 | + | 0.902039i | ||||
\(33\) | −1.21086 | − | 4.68643i | −0.210784 | − | 0.815802i | ||||
\(34\) | 0.220552 | − | 3.24730i | 0.0378244 | − | 0.556907i | ||||
\(35\) | 2.78807 | + | 4.17265i | 0.471271 | + | 0.705306i | ||||
\(36\) | −3.11683 | + | 5.12693i | −0.519472 | + | 0.854488i | ||||
\(37\) | −1.63665 | − | 8.22802i | −0.269064 | − | 1.35268i | −0.844818 | − | 0.535054i | \(-0.820291\pi\) |
0.575753 | − | 0.817623i | \(-0.304709\pi\) | |||||||
\(38\) | 3.37873 | − | 1.94007i | 0.548103 | − | 0.314721i | ||||
\(39\) | −1.23398 | − | 10.0687i | −0.197594 | − | 1.61228i | ||||
\(40\) | 8.67242 | + | 2.38983i | 1.37123 | + | 0.377866i | ||||
\(41\) | 0.727321 | + | 5.52455i | 0.113588 | + | 0.862790i | 0.949465 | + | 0.313873i | \(0.101626\pi\) |
−0.835877 | + | 0.548917i | \(0.815040\pi\) | |||||||
\(42\) | −1.43858 | − | 3.58733i | −0.221977 | − | 0.553536i | ||||
\(43\) | −5.29312 | + | 2.61028i | −0.807194 | + | 0.398064i | −0.798572 | − | 0.601899i | \(-0.794411\pi\) |
−0.00862160 | + | 0.999963i | \(0.502744\pi\) | |||||||
\(44\) | 5.30095 | − | 1.77152i | 0.799149 | − | 0.267066i | ||||
\(45\) | 2.90472 | + | 9.08846i | 0.433010 | + | 1.35483i | ||||
\(46\) | 3.17397 | − | 3.60200i | 0.467976 | − | 0.531086i | ||||
\(47\) | −7.82857 | + | 2.09766i | −1.14191 | + | 0.305975i | −0.779720 | − | 0.626128i | \(-0.784639\pi\) |
−0.362194 | + | 0.932103i | \(0.617972\pi\) | |||||||
\(48\) | −6.15625 | − | 3.17814i | −0.888578 | − | 0.458725i | ||||
\(49\) | −4.35658 | − | 1.16734i | −0.622369 | − | 0.166763i | ||||
\(50\) | 6.02441 | − | 4.00481i | 0.851981 | − | 0.566366i | ||||
\(51\) | 2.18490 | + | 3.33416i | 0.305947 | + | 0.466876i | ||||
\(52\) | 11.4989 | − | 2.23080i | 1.59462 | − | 0.309357i | ||||
\(53\) | −7.10793 | + | 10.6378i | −0.976349 | + | 1.46121i | −0.0912385 | + | 0.995829i | \(0.529083\pi\) |
−0.885111 | + | 0.465381i | \(0.845917\pi\) | |||||||
\(54\) | −0.745891 | − | 7.31052i | −0.101503 | − | 0.994835i | ||||
\(55\) | 3.40128 | − | 8.21142i | 0.458629 | − | 1.10723i | ||||
\(56\) | 4.01660 | − | 1.94547i | 0.536740 | − | 0.259974i | ||||
\(57\) | −1.86546 | + | 4.39199i | −0.247086 | + | 0.581734i | ||||
\(58\) | −9.16365 | − | 9.20709i | −1.20325 | − | 1.20895i | ||||
\(59\) | −1.06846 | − | 1.21834i | −0.139101 | − | 0.158614i | 0.678095 | − | 0.734975i | \(-0.262806\pi\) |
−0.817196 | + | 0.576360i | \(0.804473\pi\) | |||||||
\(60\) | −10.2355 | + | 4.07653i | −1.32140 | + | 0.526278i | ||||
\(61\) | −0.437283 | − | 6.67164i | −0.0559883 | − | 0.854216i | −0.929826 | − | 0.367999i | \(-0.880043\pi\) |
0.873838 | − | 0.486217i | \(-0.161624\pi\) | |||||||
\(62\) | 3.49058 | + | 1.19411i | 0.443305 | + | 0.151652i | ||||
\(63\) | 4.05644 | + | 2.43985i | 0.511064 | + | 0.307392i | ||||
\(64\) | 3.16602 | − | 7.34686i | 0.395752 | − | 0.918357i | ||||
\(65\) | 9.31343 | − | 16.1313i | 1.15519 | − | 2.00084i | ||||
\(66\) | −3.86719 | + | 5.64822i | −0.476018 | + | 0.695248i | ||||
\(67\) | 3.49855 | + | 1.72529i | 0.427416 | + | 0.210778i | 0.643257 | − | 0.765650i | \(-0.277583\pi\) |
−0.215841 | + | 0.976428i | \(0.569249\pi\) | |||||||
\(68\) | −3.66498 | + | 2.78480i | −0.444444 | + | 0.337707i | ||||
\(69\) | −0.437071 | + | 5.86359i | −0.0526172 | + | 0.705894i | ||||
\(70\) | 1.85307 | − | 6.85090i | 0.221484 | − | 0.818839i | ||||
\(71\) | −6.37014 | − | 15.3789i | −0.755996 | − | 1.82514i | −0.522127 | − | 0.852868i | \(-0.674861\pi\) |
−0.233870 | − | 0.972268i | \(-0.575139\pi\) | |||||||
\(72\) | 8.36102 | − | 1.44686i | 0.985355 | − | 0.170514i | ||||
\(73\) | 1.67404 | − | 4.04149i | 0.195932 | − | 0.473021i | −0.795128 | − | 0.606442i | \(-0.792596\pi\) |
0.991059 | + | 0.133421i | \(0.0425963\pi\) | |||||||
\(74\) | −7.24467 | + | 9.39535i | −0.842175 | + | 1.09219i | ||||
\(75\) | −2.92292 | + | 8.36389i | −0.337510 | + | 0.965779i | ||||
\(76\) | −5.20909 | − | 1.79577i | −0.597524 | − | 0.205989i | ||||
\(77\) | −1.41739 | − | 4.17550i | −0.161527 | − | 0.475843i | ||||
\(78\) | −9.58033 | + | 10.6780i | −1.08476 | + | 1.20905i | ||||
\(79\) | −1.87262 | − | 6.98870i | −0.210686 | − | 0.786290i | −0.987641 | − | 0.156734i | \(-0.949904\pi\) |
0.776955 | − | 0.629556i | \(-0.216763\pi\) | |||||||
\(80\) | −5.51854 | − | 11.4626i | −0.616992 | − | 1.28155i | ||||
\(81\) | 6.13204 | + | 6.58772i | 0.681338 | + | 0.731969i | ||||
\(82\) | 5.20985 | − | 5.91243i | 0.575331 | − | 0.652919i | ||||
\(83\) | −0.218423 | − | 0.191552i | −0.0239750 | − | 0.0210255i | 0.647274 | − | 0.762257i | \(-0.275909\pi\) |
−0.671250 | + | 0.741231i | \(0.734242\pi\) | |||||||
\(84\) | −2.48438 | + | 4.86875i | −0.271068 | + | 0.531224i | ||||
\(85\) | −0.478734 | + | 7.30407i | −0.0519260 | + | 0.792238i | ||||
\(86\) | 7.70344 | + | 3.21223i | 0.830684 | + | 0.346384i | ||||
\(87\) | 15.7542 | + | 2.21774i | 1.68903 | + | 0.237767i | ||||
\(88\) | −6.81705 | − | 4.00057i | −0.726700 | − | 0.426462i | ||||
\(89\) | −4.02787 | + | 1.66840i | −0.426954 | + | 0.176850i | −0.585804 | − | 0.810453i | \(-0.699221\pi\) |
0.158850 | + | 0.987303i | \(0.449221\pi\) | |||||||
\(90\) | 6.98222 | − | 11.5466i | 0.735990 | − | 1.21712i | ||||
\(91\) | −1.80286 | − | 9.06361i | −0.188991 | − | 0.950124i | ||||
\(92\) | −6.78940 | − | 0.0321087i | −0.707844 | − | 0.00334756i | ||||
\(93\) | −4.29135 | + | 1.41400i | −0.444992 | + | 0.146625i | ||||
\(94\) | 9.51507 | + | 6.39036i | 0.981405 | + | 0.659116i | ||||
\(95\) | −7.58816 | + | 4.38102i | −0.778528 | + | 0.449484i | ||||
\(96\) | 2.33875 | + | 9.51474i | 0.238697 | + | 0.971094i | ||||
\(97\) | 7.36312 | + | 4.25110i | 0.747611 | + | 0.431633i | 0.824830 | − | 0.565381i | \(-0.191271\pi\) |
−0.0772190 | + | 0.997014i | \(0.524604\pi\) | |||||||
\(98\) | 2.80759 | + | 5.72734i | 0.283610 | + | 0.578549i | ||||
\(99\) | −0.398453 | − | 8.37422i | −0.0400461 | − | 0.841641i | ||||
\(100\) | −9.86932 | − | 2.69457i | −0.986932 | − | 0.269457i | ||||
\(101\) | 15.1883 | + | 5.15573i | 1.51129 | + | 0.513015i | 0.949366 | − | 0.314172i | \(-0.101727\pi\) |
0.561927 | + | 0.827187i | \(0.310060\pi\) | |||||||
\(102\) | 1.52061 | − | 5.42850i | 0.150563 | − | 0.537501i | ||||
\(103\) | −11.1486 | − | 8.55460i | −1.09850 | − | 0.842910i | −0.109971 | − | 0.993935i | \(-0.535076\pi\) |
−0.988530 | + | 0.151025i | \(0.951743\pi\) | |||||||
\(104\) | −13.0702 | − | 10.1772i | −1.28163 | − | 0.997957i | ||||
\(105\) | 3.25431 | + | 8.05993i | 0.317588 | + | 0.786569i | ||||
\(106\) | 17.9441 | − | 2.31923i | 1.74288 | − | 0.225264i | ||||
\(107\) | 12.5558 | + | 8.38951i | 1.21381 | + | 0.811045i | 0.986657 | − | 0.162813i | \(-0.0520567\pi\) |
0.227158 | + | 0.973858i | \(0.427057\pi\) | |||||||
\(108\) | −7.09546 | + | 7.59305i | −0.682761 | + | 0.730642i | ||||
\(109\) | −0.850894 | + | 4.27774i | −0.0815009 | + | 0.409733i | 0.918400 | + | 0.395653i | \(0.129482\pi\) |
−0.999901 | + | 0.0140795i | \(0.995518\pi\) | |||||||
\(110\) | −11.9120 | + | 4.01218i | −1.13576 | + | 0.382546i | ||||
\(111\) | 0.130081 | − | 14.5300i | 0.0123467 | − | 1.37912i | ||||
\(112\) | −5.80801 | − | 2.47037i | −0.548806 | − | 0.233428i | ||||
\(113\) | 1.47842 | + | 0.396141i | 0.139078 | + | 0.0372658i | 0.327686 | − | 0.944787i | \(-0.393731\pi\) |
−0.188609 | + | 0.982052i | \(0.560398\pi\) | |||||||
\(114\) | 6.41428 | − | 2.09671i | 0.600752 | − | 0.196374i | ||||
\(115\) | −7.11883 | + | 8.11747i | −0.663834 | + | 0.756958i | ||||
\(116\) | −1.28819 | + | 18.3256i | −0.119605 | + | 1.70149i | ||||
\(117\) | 1.46284 | − | 17.5090i | 0.135240 | − | 1.61871i | ||||
\(118\) | −0.304499 | + | 2.27138i | −0.0280314 | + | 0.209098i | ||||
\(119\) | 2.21070 | + | 2.88105i | 0.202655 | + | 0.264105i | ||||
\(120\) | 13.8618 | + | 7.11462i | 1.26540 | + | 0.649473i | ||||
\(121\) | 1.94220 | − | 2.53112i | 0.176563 | − | 0.230102i | ||||
\(122\) | −6.70175 | + | 6.67013i | −0.606748 | + | 0.603885i | ||||
\(123\) | −0.717421 | + | 9.62467i | −0.0646877 | + | 0.867827i | ||||
\(124\) | −1.97375 | − | 4.82954i | −0.177248 | − | 0.433705i | ||||
\(125\) | −0.304840 | + | 0.203688i | −0.0272657 | + | 0.0182184i | ||||
\(126\) | −1.17267 | − | 6.59091i | −0.104470 | − | 0.587165i | ||||
\(127\) | −11.5478 | −1.02470 | −0.512349 | − | 0.858777i | \(-0.671225\pi\) | ||||
−0.512349 | + | 0.858777i | \(0.671225\pi\) | |||||||
\(128\) | −10.7720 | + | 3.45885i | −0.952121 | + | 0.305722i | ||||
\(129\) | −9.89712 | + | 2.55719i | −0.871393 | + | 0.225148i | ||||
\(130\) | −25.8483 | + | 5.07803i | −2.26704 | + | 0.445373i | ||||
\(131\) | −4.17408 | − | 2.05843i | −0.364691 | − | 0.179846i | 0.250705 | − | 0.968063i | \(-0.419337\pi\) |
−0.615397 | + | 0.788218i | \(0.711004\pi\) | |||||||
\(132\) | 9.61423 | − | 1.13215i | 0.836811 | − | 0.0985411i | ||||
\(133\) | −1.39731 | + | 4.11634i | −0.121162 | + | 0.356932i | ||||
\(134\) | −1.41520 | − | 5.33200i | −0.122255 | − | 0.460614i | ||||
\(135\) | 1.71632 | + | 16.4367i | 0.147717 | + | 1.41465i | ||||
\(136\) | 6.37532 | + | 1.31521i | 0.546679 | + | 0.112778i | ||||
\(137\) | −6.73149 | − | 8.77265i | −0.575110 | − | 0.749498i | 0.411711 | − | 0.911314i | \(-0.364931\pi\) |
−0.986821 | + | 0.161817i | \(0.948265\pi\) | |||||||
\(138\) | 6.65390 | − | 4.98710i | 0.566417 | − | 0.424530i | ||||
\(139\) | −5.18069 | − | 0.339561i | −0.439421 | − | 0.0288012i | −0.155912 | − | 0.987771i | \(-0.549832\pi\) |
−0.283508 | + | 0.958970i | \(0.591498\pi\) | |||||||
\(140\) | −9.02263 | + | 4.39654i | −0.762551 | + | 0.371576i | ||||
\(141\) | −14.0154 | + | 0.792679i | −1.18031 | + | 0.0667556i | ||||
\(142\) | −10.4618 | + | 21.0886i | −0.877934 | + | 1.76971i | ||||
\(143\) | −11.5731 | + | 11.5731i | −0.967791 | + | 0.967791i | ||||
\(144\) | −9.31681 | − | 7.56287i | −0.776401 | − | 0.630239i | ||||
\(145\) | 20.6572 | + | 20.6572i | 1.71549 | + | 1.71549i | ||||
\(146\) | −5.86282 | + | 1.97471i | −0.485210 | + | 0.163428i | ||||
\(147\) | −6.97517 | − | 3.51775i | −0.575302 | − | 0.290139i | ||||
\(148\) | 16.7475 | − | 1.01817i | 1.37664 | − | 0.0836931i | ||||
\(149\) | 1.33647 | − | 20.3906i | 0.109488 | − | 1.67047i | −0.491249 | − | 0.871019i | \(-0.663460\pi\) |
0.600738 | − | 0.799446i | \(-0.294874\pi\) | |||||||
\(150\) | 11.6296 | − | 4.66364i | 0.949550 | − | 0.380785i | ||||
\(151\) | −12.1398 | + | 9.31517i | −0.987920 | + | 0.758057i | −0.970329 | − | 0.241788i | \(-0.922266\pi\) |
−0.0175906 | + | 0.999845i | \(0.505600\pi\) | |||||||
\(152\) | 2.93081 | + | 7.22005i | 0.237720 | + | 0.585624i | ||||
\(153\) | 2.52758 | + | 6.42515i | 0.204343 | + | 0.519443i | ||||
\(154\) | −3.13076 | + | 5.39314i | −0.252284 | + | 0.434592i | ||||
\(155\) | −7.85637 | − | 2.66688i | −0.631039 | − | 0.214209i | ||||
\(156\) | 20.2862 | + | 0.277564i | 1.62420 | + | 0.0222229i | ||||
\(157\) | 6.82148 | − | 13.8326i | 0.544413 | − | 1.10396i | −0.434687 | − | 0.900582i | \(-0.643141\pi\) |
0.979100 | − | 0.203379i | \(-0.0651923\pi\) | |||||||
\(158\) | −5.70479 | + | 8.49426i | −0.453848 | + | 0.675767i | ||||
\(159\) | −15.8090 | + | 15.5284i | −1.25373 | + | 1.23148i | ||||
\(160\) | −7.08103 | + | 16.5393i | −0.559804 | + | 1.30755i | ||||
\(161\) | 5.35652i | 0.422153i | ||||||||
\(162\) | 1.31656 | − | 12.6596i | 0.103439 | − | 0.994636i | ||||
\(163\) | −4.91152 | − | 7.35061i | −0.384700 | − | 0.575744i | 0.587696 | − | 0.809082i | \(-0.300035\pi\) |
−0.972396 | + | 0.233338i | \(0.925035\pi\) | |||||||
\(164\) | −11.1443 | − | 0.0527041i | −0.870225 | − | 0.00411550i | ||||
\(165\) | 8.66693 | − | 12.7229i | 0.674720 | − | 0.990478i | ||||
\(166\) | −0.000971504 | 0.410853i | −7.54033e−5 | 0.0318884i | ||||||
\(167\) | −19.8905 | − | 15.2625i | −1.53917 | − | 1.18105i | −0.917476 | − | 0.397790i | \(-0.869777\pi\) |
−0.621696 | − | 0.783259i | \(-0.713556\pi\) | |||||||
\(168\) | 7.49779 | − | 1.88062i | 0.578467 | − | 0.145093i | ||||
\(169\) | −16.8989 | + | 12.9670i | −1.29991 | + | 0.997458i | ||||
\(170\) | 8.22742 | − | 6.28227i | 0.631014 | − | 0.481828i | ||||
\(171\) | −4.71404 | + | 6.78871i | −0.360491 | + | 0.519146i | ||||
\(172\) | −3.74121 | − | 11.1949i | −0.285265 | − | 0.853605i | ||||
\(173\) | −3.57122 | − | 3.13187i | −0.271514 | − | 0.238112i | 0.512751 | − | 0.858538i | \(-0.328626\pi\) |
−0.784265 | + | 0.620426i | \(0.786960\pi\) | |||||||
\(174\) | −12.2876 | − | 18.8479i | −0.931518 | − | 1.42886i | ||||
\(175\) | −2.08902 | + | 7.79631i | −0.157915 | + | 0.589346i | ||||
\(176\) | 2.07698 | + | 10.9836i | 0.156558 | + | 0.827921i | ||||
\(177\) | −1.38156 | − | 2.44319i | −0.103844 | − | 0.183641i | ||||
\(178\) | 5.52330 | + | 2.74004i | 0.413989 | + | 0.205375i | ||||
\(179\) | 22.2250 | + | 4.42084i | 1.66118 | + | 0.330429i | 0.934341 | − | 0.356381i | \(-0.115989\pi\) |
0.726837 | + | 0.686810i | \(0.240989\pi\) | |||||||
\(180\) | −18.7955 | + | 3.29832i | −1.40093 | + | 0.245842i | ||||
\(181\) | −0.692116 | + | 1.03582i | −0.0514445 | + | 0.0769922i | −0.856300 | − | 0.516478i | \(-0.827243\pi\) |
0.804856 | + | 0.593471i | \(0.202243\pi\) | |||||||
\(182\) | −7.98039 | + | 10.3495i | −0.591546 | + | 0.767155i | ||||
\(183\) | 1.61427 | − | 11.4674i | 0.119330 | − | 0.847691i | ||||
\(184\) | 6.27952 | + | 7.26372i | 0.462932 | + | 0.535489i | ||||
\(185\) | 16.2427 | − | 21.1679i | 1.19418 | − | 1.55629i | ||||
\(186\) | 5.49726 | + | 3.25735i | 0.403079 | + | 0.238840i | ||||
\(187\) | 2.06738 | − | 6.09030i | 0.151182 | − | 0.445367i | ||||
\(188\) | −2.03973 | − | 16.0806i | −0.148763 | − | 1.17280i | ||||
\(189\) | 6.01691 | + | 5.56953i | 0.437666 | + | 0.405124i | ||||
\(190\) | 11.7243 | + | 4.01082i | 0.850573 | + | 0.290976i | ||||
\(191\) | −0.365603 | + | 0.633244i | −0.0264541 | + | 0.0458199i | −0.878949 | − | 0.476915i | \(-0.841755\pi\) |
0.852495 | + | 0.522735i | \(0.175088\pi\) | |||||||
\(192\) | 7.96272 | − | 11.3400i | 0.574660 | − | 0.818392i | ||||
\(193\) | 8.10138 | + | 14.0320i | 0.583150 | + | 1.01005i | 0.995103 | + | 0.0988405i | \(0.0315134\pi\) |
−0.411953 | + | 0.911205i | \(0.635153\pi\) | |||||||
\(194\) | −2.31786 | − | 11.7984i | −0.166412 | − | 0.847075i | ||||
\(195\) | 21.4885 | − | 24.0649i | 1.53883 | − | 1.72333i | ||||
\(196\) | 3.49138 | − | 8.31746i | 0.249384 | − | 0.594105i | ||||
\(197\) | −4.21869 | + | 0.839150i | −0.300569 | + | 0.0597869i | −0.343071 | − | 0.939309i | \(-0.611467\pi\) |
0.0425018 | + | 0.999096i | \(0.486467\pi\) | |||||||
\(198\) | −8.55189 | + | 8.21205i | −0.607757 | + | 0.583605i | ||||
\(199\) | 1.09766 | + | 2.64999i | 0.0778111 | + | 0.187853i | 0.957998 | − | 0.286774i | \(-0.0925830\pi\) |
−0.880187 | + | 0.474627i | \(0.842583\pi\) | |||||||
\(200\) | 6.30690 | + | 13.0212i | 0.445965 | + | 0.920737i | ||||
\(201\) | 5.32321 | + | 4.16088i | 0.375470 | + | 0.293486i | ||||
\(202\) | −8.63095 | − | 20.9771i | −0.607271 | − | 1.47594i | ||||
\(203\) | 14.4625 | + | 0.947923i | 1.01507 | + | 0.0665312i | ||||
\(204\) | −7.19794 | + | 3.42802i | −0.503957 | + | 0.240009i | ||||
\(205\) | −11.6850 | + | 13.3242i | −0.816119 | + | 0.930606i | ||||
\(206\) | 1.25287 | + | 19.8337i | 0.0872918 | + | 1.38188i | ||||
\(207\) | −2.81157 | + | 9.78843i | −0.195418 | + | 0.680343i | ||||
\(208\) | 1.31101 | + | 23.3900i | 0.0909021 | + | 1.62180i | ||||
\(209\) | 7.43660 | − | 1.99263i | 0.514401 | − | 0.137833i | ||||
\(210\) | 5.56126 | − | 10.9626i | 0.383763 | − | 0.756491i | ||||
\(211\) | 3.83463 | − | 1.30168i | 0.263987 | − | 0.0896115i | −0.186308 | − | 0.982491i | \(-0.559652\pi\) |
0.450295 | + | 0.892880i | \(0.351319\pi\) | |||||||
\(212\) | −19.1580 | − | 16.9620i | −1.31578 | − | 1.16496i | ||||
\(213\) | −5.37140 | − | 28.3269i | −0.368043 | − | 1.94093i | ||||
\(214\) | −2.73740 | − | 21.1795i | −0.187125 | − | 1.44780i | ||||
\(215\) | −17.3415 | − | 7.18307i | −1.18268 | − | 0.489881i | ||||
\(216\) | 14.6885 | + | 0.498879i | 0.999424 | + | 0.0339444i | ||||
\(217\) | −3.80283 | + | 1.57518i | −0.258153 | + | 0.106930i | ||||
\(218\) | 5.34905 | − | 3.07144i | 0.362284 | − | 0.208024i | ||||
\(219\) | 4.26568 | − | 6.26196i | 0.288248 | − | 0.423144i | ||||
\(220\) | 15.3522 | + | 8.96068i | 1.03505 | + | 0.604129i | ||||
\(221\) | 5.96161 | − | 12.0889i | 0.401021 | − | 0.813190i | ||||
\(222\) | −15.6021 | + | 13.3734i | −1.04715 | + | 0.897563i | ||||
\(223\) | 10.0935 | + | 5.82747i | 0.675909 | + | 0.390236i | 0.798312 | − | 0.602244i | \(-0.205727\pi\) |
−0.122403 | + | 0.992480i | \(0.539060\pi\) | |||||||
\(224\) | 2.76900 | + | 8.48552i | 0.185012 | + | 0.566963i | ||||
\(225\) | −7.90962 | + | 13.1504i | −0.527308 | + | 0.876691i | ||||
\(226\) | −0.952764 | − | 1.94359i | −0.0633770 | − | 0.129286i | ||||
\(227\) | −16.4898 | + | 1.08080i | −1.09446 | + | 0.0717349i | −0.601923 | − | 0.798554i | \(-0.705598\pi\) |
−0.492541 | + | 0.870289i | \(0.663932\pi\) | |||||||
\(228\) | −8.19885 | − | 4.88437i | −0.542982 | − | 0.323476i | ||||
\(229\) | 2.36483 | − | 2.07390i | 0.156272 | − | 0.137047i | −0.577639 | − | 0.816292i | \(-0.696026\pi\) |
0.733912 | + | 0.679245i | \(0.237693\pi\) | |||||||
\(230\) | 15.2689 | + | 0.0361050i | 1.00680 | + | 0.00238069i | ||||
\(231\) | −0.929066 | − | 7.58078i | −0.0611281 | − | 0.498779i | ||||
\(232\) | 20.7232 | − | 15.6692i | 1.36054 | − | 1.02873i | ||||
\(233\) | 3.82145 | + | 1.58290i | 0.250352 | + | 0.103699i | 0.504331 | − | 0.863511i | \(-0.331739\pi\) |
−0.253979 | + | 0.967210i | \(0.581739\pi\) | |||||||
\(234\) | −20.0156 | + | 14.7237i | −1.30846 | + | 0.962518i | ||||
\(235\) | −21.4326 | − | 14.3208i | −1.39811 | − | 0.934184i | ||||
\(236\) | 2.70324 | − | 1.78782i | 0.175966 | − | 0.116377i | ||||
\(237\) | −0.707638 | − | 12.5118i | −0.0459660 | − | 0.812728i | ||||
\(238\) | 1.01383 | − | 5.03462i | 0.0657169 | − | 0.326346i | ||||
\(239\) | 0.936544 | − | 3.49523i | 0.0605800 | − | 0.226088i | −0.928998 | − | 0.370084i | \(-0.879329\pi\) |
0.989578 | + | 0.143997i | \(0.0459955\pi\) | |||||||
\(240\) | −5.31023 | − | 21.3854i | −0.342774 | − | 1.38042i | ||||
\(241\) | 5.69534 | + | 21.2553i | 0.366869 | + | 1.36917i | 0.864869 | + | 0.501997i | \(0.167401\pi\) |
−0.498000 | + | 0.867177i | \(0.665932\pi\) | |||||||
\(242\) | −4.50294 | + | 0.284447i | −0.289460 | + | 0.0182849i | ||||
\(243\) | 8.07183 | + | 13.3359i | 0.517808 | + | 0.855497i | ||||
\(244\) | 13.3390 | + | 0.937658i | 0.853942 | + | 0.0600274i | ||||
\(245\) | −6.34449 | − | 12.8654i | −0.405335 | − | 0.821937i | ||||
\(246\) | 10.9219 | − | 8.18597i | 0.696355 | − | 0.521918i | ||||
\(247\) | 15.9969 | − | 2.10603i | 1.01786 | − | 0.134004i | ||||
\(248\) | −3.31023 | + | 6.59414i | −0.210200 | + | 0.418728i | ||||
\(249\) | −0.302737 | − | 0.401935i | −0.0191852 | − | 0.0254716i | ||||
\(250\) | 0.500505 | + | 0.135379i | 0.0316547 | + | 0.00856212i | ||||
\(251\) | −2.43328 | + | 0.484010i | −0.153587 | + | 0.0305504i | −0.271285 | − | 0.962499i | \(-0.587449\pi\) |
0.117698 | + | 0.993049i | \(0.462449\pi\) | |||||||
\(252\) | −5.93186 | + | 7.37858i | −0.373672 | + | 0.464807i | ||||
\(253\) | 7.88800 | − | 5.27059i | 0.495914 | − | 0.331359i | ||||
\(254\) | 10.7387 | + | 12.3037i | 0.673807 | + | 0.772004i | ||||
\(255\) | −3.39085 | + | 12.2163i | −0.212343 | + | 0.765014i | ||||
\(256\) | 13.7026 | + | 8.26067i | 0.856413 | + | 0.516292i | ||||
\(257\) | 1.15055 | + | 1.99281i | 0.0717693 | + | 0.124308i | 0.899677 | − | 0.436557i | \(-0.143802\pi\) |
−0.827907 | + | 0.560865i | \(0.810469\pi\) | |||||||
\(258\) | 11.9283 | + | 8.16700i | 0.742624 | + | 0.508455i | ||||
\(259\) | −0.865758 | − | 13.2089i | −0.0537956 | − | 0.820762i | ||||
\(260\) | 29.4478 | + | 22.8181i | 1.82627 | + | 1.41512i | ||||
\(261\) | 25.9310 | + | 9.32341i | 1.60509 | + | 0.577104i | ||||
\(262\) | 1.68846 | + | 6.36155i | 0.104313 | + | 0.393018i | ||||
\(263\) | −13.5733 | − | 1.78696i | −0.836967 | − | 0.110189i | −0.300155 | − | 0.953891i | \(-0.597038\pi\) |
−0.536812 | + | 0.843702i | \(0.680372\pi\) | |||||||
\(264\) | −10.1469 | − | 9.19078i | −0.624499 | − | 0.565653i | ||||
\(265\) | −40.3424 | + | 5.31118i | −2.47821 | + | 0.326263i | ||||
\(266\) | 5.68522 | − | 2.33916i | 0.348583 | − | 0.143423i | ||||
\(267\) | −7.41908 | + | 1.40682i | −0.454041 | + | 0.0860961i | ||||
\(268\) | −4.36500 | + | 6.46628i | −0.266635 | + | 0.394991i | ||||
\(269\) | 7.84500 | + | 1.56047i | 0.478318 | + | 0.0951434i | 0.428361 | − | 0.903608i | \(-0.359091\pi\) |
0.0499578 | + | 0.998751i | \(0.484091\pi\) | |||||||
\(270\) | 15.9167 | − | 17.1138i | 0.968659 | − | 1.04152i | ||||
\(271\) | 1.79774 | − | 1.79774i | 0.109205 | − | 0.109205i | −0.650393 | − | 0.759598i | \(-0.725396\pi\) |
0.759598 | + | 0.650393i | \(0.225396\pi\) | |||||||
\(272\) | −4.52734 | − | 8.01573i | −0.274511 | − | 0.486025i | ||||
\(273\) | 0.143291 | − | 16.0055i | 0.00867239 | − | 0.968699i | ||||
\(274\) | −3.08706 | + | 15.3302i | −0.186496 | + | 0.926130i | ||||
\(275\) | 13.5363 | − | 4.59497i | 0.816272 | − | 0.277087i | ||||
\(276\) | −11.5013 | − | 2.45179i | −0.692296 | − | 0.147580i | ||||
\(277\) | −13.1065 | + | 6.46342i | −0.787495 | + | 0.388349i | −0.791133 | − | 0.611644i | \(-0.790509\pi\) |
0.00363835 | + | 0.999993i | \(0.498842\pi\) | |||||||
\(278\) | 4.45594 | + | 5.83561i | 0.267250 | + | 0.349997i | ||||
\(279\) | −7.77603 | + | 0.882411i | −0.465539 | + | 0.0528286i | ||||
\(280\) | 13.0749 | + | 5.52477i | 0.781372 | + | 0.330168i | ||||
\(281\) | −0.277421 | + | 2.10722i | −0.0165495 | + | 0.125706i | −0.997725 | − | 0.0674105i | \(-0.978526\pi\) |
0.981176 | + | 0.193117i | \(0.0618596\pi\) | |||||||
\(282\) | 13.8780 | + | 14.1958i | 0.826426 | + | 0.845346i | ||||
\(283\) | 1.18390 | − | 1.03826i | 0.0703758 | − | 0.0617180i | −0.623435 | − | 0.781875i | \(-0.714264\pi\) |
0.693811 | + | 0.720157i | \(0.255930\pi\) | |||||||
\(284\) | 32.1979 | − | 8.46441i | 1.91060 | − | 0.502270i | ||||
\(285\) | −14.4140 | + | 4.74942i | −0.853812 | + | 0.281331i | ||||
\(286\) | 23.0930 | + | 1.56844i | 1.36552 | + | 0.0927440i | ||||
\(287\) | 8.79235i | 0.518996i | ||||||||
\(288\) | 0.606095 | + | 16.9597i | 0.0357145 | + | 0.999362i | ||||
\(289\) | − | 11.7032i | − | 0.688423i | ||||||
\(290\) | 2.79957 | − | 41.2195i | 0.164396 | − | 2.42049i | ||||
\(291\) | 10.9844 | + | 9.80841i | 0.643917 | + | 0.574979i | ||||
\(292\) | 7.55605 | + | 4.41026i | 0.442184 | + | 0.258091i | ||||
\(293\) | 7.70255 | − | 6.75496i | 0.449988 | − | 0.394629i | −0.404136 | − | 0.914699i | \(-0.632428\pi\) |
0.854123 | + | 0.520070i | \(0.174094\pi\) | |||||||
\(294\) | 2.73845 | + | 10.7031i | 0.159709 | + | 0.624216i | ||||
\(295\) | 0.672713 | − | 5.10977i | 0.0391669 | − | 0.297502i | ||||
\(296\) | −16.6590 | − | 16.8970i | −0.968284 | − | 0.982120i | ||||
\(297\) | 2.28129 | − | 14.3407i | 0.132374 | − | 0.832130i | ||||
\(298\) | −22.9683 | + | 17.5381i | −1.33052 | + | 1.01595i | ||||
\(299\) | 17.8315 | − | 8.79352i | 1.03122 | − | 0.508542i | ||||
\(300\) | −15.7837 | − | 8.05398i | −0.911274 | − | 0.464996i | ||||
\(301\) | −8.81812 | + | 2.99335i | −0.508268 | + | 0.172534i | ||||
\(302\) | 21.2142 | + | 4.27194i | 1.22074 | + | 0.245823i | ||||
\(303\) | 23.9340 | + | 14.1055i | 1.37497 | + | 0.810338i | ||||
\(304\) | 4.96723 | − | 9.83689i | 0.284890 | − | 0.564184i | ||||
\(305\) | 15.0362 | − | 15.0362i | 0.860969 | − | 0.860969i | ||||
\(306\) | 4.49527 | − | 8.66805i | 0.256977 | − | 0.495519i | ||||
\(307\) | 8.63183 | + | 1.71698i | 0.492644 | + | 0.0979931i | 0.435160 | − | 0.900353i | \(-0.356692\pi\) |
0.0574848 | + | 0.998346i | \(0.481692\pi\) | |||||||
\(308\) | 8.65761 | − | 1.67958i | 0.493313 | − | 0.0957031i | ||||
\(309\) | −15.8837 | − | 18.4424i | −0.903594 | − | 1.04915i | ||||
\(310\) | 4.46448 | + | 10.8507i | 0.253566 | + | 0.616279i | ||||
\(311\) | −12.8398 | + | 1.69039i | −0.728076 | + | 0.0958530i | −0.485447 | − | 0.874266i | \(-0.661343\pi\) |
−0.242629 | + | 0.970119i | \(0.578010\pi\) | |||||||
\(312\) | −18.5692 | − | 21.8723i | −1.05127 | − | 1.23828i | ||||
\(313\) | −22.6058 | − | 2.97611i | −1.27776 | − | 0.168220i | −0.539065 | − | 0.842264i | \(-0.681222\pi\) |
−0.738691 | + | 0.674044i | \(0.764556\pi\) | |||||||
\(314\) | −21.0817 | + | 5.59542i | −1.18971 | + | 0.315768i | ||||
\(315\) | 2.67229 | + | 14.8161i | 0.150566 | + | 0.834795i | ||||
\(316\) | 14.3554 | − | 1.82091i | 0.807556 | − | 0.102434i | ||||
\(317\) | 1.54542 | + | 23.5785i | 0.0867993 | + | 1.32430i | 0.789911 | + | 0.613222i | \(0.210127\pi\) |
−0.703112 | + | 0.711080i | \(0.748207\pi\) | |||||||
\(318\) | 31.2463 | + | 2.40340i | 1.75221 | + | 0.134776i | ||||
\(319\) | −12.8346 | − | 22.2302i | −0.718599 | − | 1.24465i | ||||
\(320\) | 24.2069 | − | 7.83594i | 1.35321 | − | 0.438043i | ||||
\(321\) | 18.3282 | + | 18.6594i | 1.02298 | + | 1.04146i | ||||
\(322\) | 5.70718 | − | 4.98124i | 0.318049 | − | 0.277594i | ||||
\(323\) | −5.27193 | + | 3.52259i | −0.293338 | + | 0.196002i | ||||
\(324\) | −14.7127 | + | 10.3700i | −0.817373 | + | 0.576109i | ||||
\(325\) | 29.3828 | − | 5.84461i | 1.62987 | − | 0.324200i | ||||
\(326\) | −3.26439 | + | 12.0687i | −0.180798 | + | 0.668421i | ||||
\(327\) | −2.95331 | + | 6.95321i | −0.163319 | + | 0.384513i | ||||
\(328\) | 10.3074 | + | 11.9229i | 0.569130 | + | 0.658331i | ||||
\(329\) | −12.6790 | + | 1.66922i | −0.699014 | + | 0.0920269i | ||||
\(330\) | −21.6155 | + | 2.59724i | −1.18990 | + | 0.142973i | ||||
\(331\) | 7.28612 | + | 14.7748i | 0.400481 | + | 0.812096i | 0.999932 | + | 0.0116838i | \(0.00371915\pi\) |
−0.599451 | + | 0.800412i | \(0.704614\pi\) | |||||||
\(332\) | 0.438652 | − | 0.381033i | 0.0240742 | − | 0.0209119i | ||||
\(333\) | 5.35111 | − | 24.5922i | 0.293239 | − | 1.34764i | ||||
\(334\) | 2.23529 | + | 35.3858i | 0.122310 | + | 1.93623i | ||||
\(335\) | 3.21102 | + | 11.9837i | 0.175436 | + | 0.654738i | ||||
\(336\) | −8.97622 | − | 6.23977i | −0.489693 | − | 0.340407i | ||||
\(337\) | 2.68306 | − | 10.0133i | 0.146155 | − | 0.545459i | −0.853546 | − | 0.521018i | \(-0.825553\pi\) |
0.999701 | − | 0.0244416i | \(-0.00778077\pi\) | |||||||
\(338\) | 29.5307 | + | 5.94666i | 1.60626 | + | 0.323455i | ||||
\(339\) | 2.36704 | + | 1.19376i | 0.128560 | + | 0.0648360i | ||||
\(340\) | −14.3445 | − | 2.92389i | −0.777941 | − | 0.158570i | ||||
\(341\) | 6.06144 | + | 4.05012i | 0.328245 | + | 0.219327i | ||||
\(342\) | 11.6169 | − | 1.29045i | 0.628169 | − | 0.0697795i | ||||
\(343\) | −16.7794 | − | 6.95027i | −0.906004 | − | 0.375279i | ||||
\(344\) | −8.44868 | + | 14.3967i | −0.455522 | + | 0.776219i | ||||
\(345\) | −14.9375 | + | 11.2509i | −0.804209 | + | 0.605730i | ||||
\(346\) | −0.0158841 | + | 6.71745i | −0.000853935 | + | 0.361132i | ||||
\(347\) | 17.0887 | − | 14.9864i | 0.917372 | − | 0.804513i | −0.0637377 | − | 0.997967i | \(-0.520302\pi\) |
0.981110 | + | 0.193453i | \(0.0619688\pi\) | |||||||
\(348\) | −8.65512 | + | 30.6194i | −0.463963 | + | 1.64137i | ||||
\(349\) | 17.3866 | − | 1.13958i | 0.930685 | − | 0.0610003i | 0.407487 | − | 0.913211i | \(-0.366405\pi\) |
0.523199 | + | 0.852211i | \(0.324739\pi\) | |||||||
\(350\) | 10.2493 | − | 5.02433i | 0.547851 | − | 0.268561i | ||||
\(351\) | 8.66295 | − | 29.1731i | 0.462394 | − | 1.55714i | ||||
\(352\) | 9.77118 | − | 12.4270i | 0.520805 | − | 0.662363i | ||||
\(353\) | −9.88123 | − | 5.70493i | −0.525925 | − | 0.303643i | 0.213431 | − | 0.976958i | \(-0.431536\pi\) |
−0.739355 | + | 0.673315i | \(0.764870\pi\) | |||||||
\(354\) | −1.31836 | + | 3.74402i | −0.0700700 | + | 0.198992i | ||||
\(355\) | 23.4155 | − | 47.4820i | 1.24277 | − | 2.52008i | ||||
\(356\) | −2.21691 | − | 8.43295i | −0.117496 | − | 0.446945i | ||||
\(357\) | 2.73134 | + | 5.66592i | 0.144558 | + | 0.299872i | ||||
\(358\) | −15.9577 | − | 27.7911i | −0.843390 | − | 1.46881i | ||||
\(359\) | 27.8884 | − | 11.5518i | 1.47189 | − | 0.609679i | 0.504604 | − | 0.863351i | \(-0.331638\pi\) |
0.967290 | + | 0.253672i | \(0.0816384\pi\) | |||||||
\(360\) | 20.9929 | + | 16.9587i | 1.10642 | + | 0.893802i | ||||
\(361\) | 10.5416 | + | 4.36647i | 0.554821 | + | 0.229814i | ||||
\(362\) | 1.74726 | − | 0.225829i | 0.0918339 | − | 0.0118693i | ||||
\(363\) | 4.18708 | − | 3.60617i | 0.219765 | − | 0.189275i | ||||
\(364\) | 18.4483 | − | 1.12157i | 0.966953 | − | 0.0587863i | ||||
\(365\) | 13.1745 | − | 4.47213i | 0.689583 | − | 0.234082i | ||||
\(366\) | −13.7192 | + | 8.94399i | −0.717115 | + | 0.467510i | ||||
\(367\) | 5.64103 | − | 1.51151i | 0.294459 | − | 0.0789001i | −0.108565 | − | 0.994089i | \(-0.534626\pi\) |
0.403024 | + | 0.915189i | \(0.367959\pi\) | |||||||
\(368\) | 1.89966 | − | 13.4454i | 0.0990268 | − | 0.700891i | ||||
\(369\) | −4.61499 | + | 16.0670i | −0.240247 | + | 0.836415i | ||||
\(370\) | −37.6583 | + | 2.37884i | −1.95776 | + | 0.123670i | ||||
\(371\) | −13.3105 | + | 15.1777i | −0.691046 | + | 0.787987i | ||||
\(372\) | −1.64154 | − | 8.88627i | −0.0851096 | − | 0.460732i | ||||
\(373\) | 14.0214 | + | 0.919008i | 0.725998 | + | 0.0475844i | 0.423921 | − | 0.905699i | \(-0.360653\pi\) |
0.302077 | + | 0.953284i | \(0.402320\pi\) | |||||||
\(374\) | −8.41154 | + | 3.46089i | −0.434950 | + | 0.178959i | ||||
\(375\) | −0.588833 | + | 0.237749i | −0.0304072 | + | 0.0122773i | ||||
\(376\) | −15.2365 | + | 17.1273i | −0.785762 | + | 0.883271i | ||||
\(377\) | −20.5868 | − | 49.7009i | −1.06027 | − | 2.55972i | ||||
\(378\) | 0.338780 | − | 11.5901i | 0.0174249 | − | 0.596132i | ||||
\(379\) | −19.5160 | + | 3.88198i | −1.00247 | + | 0.199404i | −0.668925 | − | 0.743330i | \(-0.733245\pi\) |
−0.333546 | + | 0.942734i | \(0.608245\pi\) | |||||||
\(380\) | −6.62954 | − | 16.2217i | −0.340088 | − | 0.832155i | ||||
\(381\) | −19.5813 | − | 4.07752i | −1.00318 | − | 0.208898i | ||||
\(382\) | 1.01469 | − | 0.199341i | 0.0519159 | − | 0.0101992i | ||||
\(383\) | 12.7762 | + | 22.1290i | 0.652833 | + | 1.13074i | 0.982432 | + | 0.186618i | \(0.0597528\pi\) |
−0.329600 | + | 0.944121i | \(0.606914\pi\) | |||||||
\(384\) | −19.4872 | + | 2.06149i | −0.994451 | + | 0.105200i | ||||
\(385\) | 7.01212 | − | 12.1454i | 0.357371 | − | 0.618985i | ||||
\(386\) | 7.41680 | − | 21.6806i | 0.377505 | − | 1.10352i | ||||
\(387\) | −17.6853 | + | 0.841482i | −0.898992 | + | 0.0427749i | ||||
\(388\) | −10.4153 | + | 13.4414i | −0.528757 | + | 0.682383i | ||||
\(389\) | 2.52111 | − | 7.42696i | 0.127825 | − | 0.376562i | −0.864110 | − | 0.503302i | \(-0.832118\pi\) |
0.991936 | + | 0.126741i | \(0.0404516\pi\) | |||||||
\(390\) | −45.6234 | − | 0.516340i | −2.31023 | − | 0.0261459i | ||||
\(391\) | −4.75620 | + | 6.19840i | −0.240531 | + | 0.313467i | ||||
\(392\) | −12.1087 | + | 4.01479i | −0.611583 | + | 0.202778i | ||||
\(393\) | −6.35106 | − | 4.96430i | −0.320369 | − | 0.250416i | ||||
\(394\) | 4.81721 | + | 3.71450i | 0.242687 | + | 0.187134i | ||||
\(395\) | 12.7844 | − | 19.1332i | 0.643253 | − | 0.962696i | ||||
\(396\) | 16.7024 | + | 1.47503i | 0.839326 | + | 0.0741228i | ||||
\(397\) | 3.59838 | + | 0.715762i | 0.180598 | + | 0.0359231i | 0.284560 | − | 0.958658i | \(-0.408152\pi\) |
−0.103963 | + | 0.994581i | \(0.533152\pi\) | |||||||
\(398\) | 1.80271 | − | 3.63385i | 0.0903616 | − | 0.182148i | ||||
\(399\) | −3.82287 | + | 6.48659i | −0.191383 | + | 0.324736i | ||||
\(400\) | 8.00857 | − | 18.8287i | 0.400428 | − | 0.941434i | ||||
\(401\) | −7.96575 | + | 29.7286i | −0.397790 | + | 1.48457i | 0.419185 | + | 0.907901i | \(0.362316\pi\) |
−0.816975 | + | 0.576673i | \(0.804351\pi\) | |||||||
\(402\) | −0.516990 | − | 9.54105i | −0.0257851 | − | 0.475864i | ||||
\(403\) | 11.4866 | + | 10.0735i | 0.572188 | + | 0.501795i | ||||
\(404\) | −14.3241 | + | 28.7034i | −0.712651 | + | 1.42805i | ||||
\(405\) | −2.89350 | + | 28.4774i | −0.143779 | + | 1.41506i | ||||
\(406\) | −12.4393 | − | 16.2908i | −0.617351 | − | 0.808499i | ||||
\(407\) | −18.5995 | + | 14.2719i | −0.921945 | + | 0.707433i | ||||
\(408\) | 10.3461 | + | 4.48130i | 0.512207 | + | 0.221857i | ||||
\(409\) | −0.475705 | − | 0.365021i | −0.0235221 | − | 0.0180491i | 0.596933 | − | 0.802291i | \(-0.296386\pi\) |
−0.620456 | + | 0.784242i | \(0.713052\pi\) | |||||||
\(410\) | 25.0629 | + | 0.0592638i | 1.23777 | + | 0.00292683i | ||||
\(411\) | −8.31680 | − | 17.2525i | −0.410238 | − | 0.851001i | ||||
\(412\) | 19.9669 | − | 19.7790i | 0.983701 | − | 0.974440i | ||||
\(413\) | −1.42056 | − | 2.12602i | −0.0699011 | − | 0.104614i | ||||
\(414\) | 13.0438 | − | 6.10701i | 0.641068 | − | 0.300143i | ||||
\(415\) | − | 0.923978i | − | 0.0453563i | ||||||
\(416\) | 23.7020 | − | 23.1481i | 1.16209 | − | 1.13493i | ||||
\(417\) | −8.66488 | − | 2.40509i | −0.424321 | − | 0.117778i | ||||
\(418\) | −9.03867 | − | 6.07041i | −0.442096 | − | 0.296913i | ||||
\(419\) | −8.04814 | + | 16.3200i | −0.393178 | + | 0.797285i | 0.606819 | + | 0.794840i | \(0.292445\pi\) |
−0.999997 | + | 0.00244554i | \(0.999222\pi\) | |||||||
\(420\) | −16.8519 | + | 4.26922i | −0.822288 | + | 0.208317i | ||||
\(421\) | 0.560519 | + | 0.190270i | 0.0273180 | + | 0.00927321i | 0.335065 | − | 0.942195i | \(-0.391242\pi\) |
−0.307747 | + | 0.951468i | \(0.599575\pi\) | |||||||
\(422\) | −4.95287 | − | 2.87518i | −0.241102 | − | 0.139961i | ||||
\(423\) | −24.0455 | − | 3.60472i | −1.16913 | − | 0.175268i | ||||
\(424\) | −0.256699 | + | 36.1858i | −0.0124664 | + | 1.75734i | ||||
\(425\) | −9.33991 | + | 7.16676i | −0.453052 | + | 0.347639i | ||||
\(426\) | −25.1862 | + | 32.0653i | −1.22028 | + | 1.55357i | ||||
\(427\) | 0.689983 | − | 10.5271i | 0.0333906 | − | 0.509443i | ||||
\(428\) | −20.0204 | + | 22.6122i | −0.967721 | + | 1.09300i | ||||
\(429\) | −23.7107 | + | 15.5378i | −1.14476 | + | 0.750171i | ||||
\(430\) | 8.47320 | + | 25.1565i | 0.408614 | + | 1.21315i | ||||
\(431\) | 24.1109 | + | 24.1109i | 1.16138 | + | 1.16138i | 0.984174 | + | 0.177206i | \(0.0567059\pi\) |
0.177206 | + | 0.984174i | \(0.443294\pi\) | |||||||
\(432\) | −13.1278 | − | 16.1140i | −0.631614 | − | 0.775283i | ||||
\(433\) | −25.3468 | + | 25.3468i | −1.21809 | + | 1.21809i | −0.249787 | + | 0.968301i | \(0.580361\pi\) |
−0.968301 | + | 0.249787i | \(0.919639\pi\) | |||||||
\(434\) | 5.21470 | + | 2.58695i | 0.250314 | + | 0.124178i | ||||
\(435\) | 27.7339 | + | 42.3220i | 1.32974 | + | 2.02919i | ||||
\(436\) | −8.24680 | − | 2.84298i | −0.394950 | − | 0.136154i | ||||
\(437\) | −9.33238 | − | 0.611676i | −0.446428 | − | 0.0292604i | ||||
\(438\) | −10.6387 | + | 1.27831i | −0.508338 | + | 0.0610798i | ||||
\(439\) | 20.9195 | + | 27.2629i | 0.998435 | + | 1.30119i | 0.953242 | + | 0.302207i | \(0.0977234\pi\) |
0.0451924 | + | 0.998978i | \(0.485610\pi\) | |||||||
\(440\) | −4.72935 | − | 24.6901i | −0.225463 | − | 1.17706i | ||||
\(441\) | −10.5855 | − | 8.42790i | −0.504072 | − | 0.401328i | ||||
\(442\) | −18.4243 | + | 4.89010i | −0.876353 | + | 0.232598i | ||||
\(443\) | −9.17395 | + | 27.0256i | −0.435868 | + | 1.28402i | 0.478124 | + | 0.878292i | \(0.341317\pi\) |
−0.913992 | + | 0.405733i | \(0.867016\pi\) | |||||||
\(444\) | 28.7579 | + | 4.18707i | 1.36479 | + | 0.198709i | ||||
\(445\) | −12.4360 | − | 6.13275i | −0.589522 | − | 0.290720i | ||||
\(446\) | −3.17735 | − | 16.1734i | −0.150452 | − | 0.765834i | ||||
\(447\) | 9.46617 | − | 34.1040i | 0.447734 | − | 1.61306i | ||||
\(448\) | 6.46602 | − | 10.8413i | 0.305490 | − | 0.512203i | ||||
\(449\) | −19.6122 | −0.925557 | −0.462779 | − | 0.886474i | \(-0.653147\pi\) | ||||
−0.462779 | + | 0.886474i | \(0.653147\pi\) | |||||||
\(450\) | 21.3667 | − | 3.80163i | 1.00724 | − | 0.179210i | ||||
\(451\) | 12.9476 | − | 8.65130i | 0.609678 | − | 0.407374i | ||||
\(452\) | −1.18481 | + | 2.82255i | −0.0557288 | + | 0.132762i | ||||
\(453\) | −23.8743 | + | 11.5090i | −1.12171 | + | 0.540738i | ||||
\(454\) | 16.4860 | + | 16.5642i | 0.773727 | + | 0.777395i | ||||
\(455\) | 17.8922 | − | 23.3175i | 0.838798 | − | 1.09314i | ||||
\(456\) | 2.42031 | + | 13.2777i | 0.113341 | + | 0.621788i | ||||
\(457\) | −22.9392 | − | 29.8950i | −1.07305 | − | 1.39843i | −0.911372 | − | 0.411584i | \(-0.864976\pi\) |
−0.161679 | − | 0.986843i | \(-0.551691\pi\) | |||||||
\(458\) | −4.40881 | − | 0.591040i | −0.206010 | − | 0.0276175i | ||||
\(459\) | 2.01724 | + | 11.7875i | 0.0941567 | + | 0.550192i | ||||
\(460\) | −14.1607 | − | 16.3021i | −0.660247 | − | 0.760089i | ||||
\(461\) | −22.2034 | + | 25.3181i | −1.03412 | + | 1.17918i | −0.0505340 | + | 0.998722i | \(0.516092\pi\) |
−0.983582 | + | 0.180461i | \(0.942241\pi\) | |||||||
\(462\) | −7.21308 | + | 8.03955i | −0.335583 | + | 0.374034i | ||||
\(463\) | −1.77434 | − | 0.475434i | −0.0824607 | − | 0.0220953i | 0.217353 | − | 0.976093i | \(-0.430258\pi\) |
−0.299813 | + | 0.953998i | \(0.596924\pi\) | |||||||
\(464\) | −35.9662 | − | 7.50844i | −1.66969 | − | 0.348571i | ||||
\(465\) | −12.3802 | − | 7.29625i | −0.574118 | − | 0.338356i | ||||
\(466\) | −1.86720 | − | 5.54362i | −0.0864963 | − | 0.256803i | ||||
\(467\) | 0.253232 | − | 1.27308i | 0.0117182 | − | 0.0589113i | −0.974484 | − | 0.224458i | \(-0.927939\pi\) |
0.986202 | + | 0.165547i | \(0.0529389\pi\) | |||||||
\(468\) | 34.3008 | + | 7.63373i | 1.58556 | + | 0.352869i | ||||
\(469\) | 5.11776 | + | 3.41958i | 0.236316 | + | 0.157902i | ||||
\(470\) | 4.67270 | + | 36.1531i | 0.215535 | + | 1.66762i | ||||
\(471\) | 16.4513 | − | 21.0469i | 0.758036 | − | 0.969791i | ||||
\(472\) | −4.41871 | − | 1.21765i | −0.203387 | − | 0.0560468i | ||||
\(473\) | 13.0847 | + | 10.0402i | 0.601633 | + | 0.461649i | ||||
\(474\) | −12.6728 | + | 12.3892i | −0.582081 | + | 0.569053i | ||||
\(475\) | −13.3445 | − | 4.52986i | −0.612290 | − | 0.207844i | ||||
\(476\) | −6.30701 | + | 3.60169i | −0.289081 | + | 0.165083i | ||||
\(477\) | −32.2900 | + | 20.7490i | −1.47846 | + | 0.950031i | ||||
\(478\) | −4.59497 | + | 2.25250i | −0.210169 | + | 0.103027i | ||||
\(479\) | 13.8729 | + | 8.00955i | 0.633871 | + | 0.365966i | 0.782250 | − | 0.622965i | \(-0.214072\pi\) |
−0.148379 | + | 0.988931i | \(0.547405\pi\) | |||||||
\(480\) | −17.8472 | + | 25.5450i | −0.814608 | + | 1.16596i | ||||
\(481\) | −42.5503 | + | 24.5664i | −1.94013 | + | 1.12013i | ||||
\(482\) | 17.3504 | − | 25.8343i | 0.790290 | − | 1.17672i | ||||
\(483\) | −1.89139 | + | 9.08293i | −0.0860613 | + | 0.413288i | ||||
\(484\) | 4.49053 | + | 4.53321i | 0.204115 | + | 0.206055i | ||||
\(485\) | 5.27540 | + | 26.5212i | 0.239544 | + | 1.20427i | ||||
\(486\) | 6.70259 | − | 21.0018i | 0.304035 | − | 0.952661i | ||||
\(487\) | 34.0638 | − | 14.1097i | 1.54358 | − | 0.639371i | 0.561438 | − | 0.827519i | \(-0.310248\pi\) |
0.982141 | + | 0.188147i | \(0.0602483\pi\) | |||||||
\(488\) | −11.4054 | − | 15.0842i | −0.516299 | − | 0.682829i | ||||
\(489\) | −5.73284 | − | 14.1985i | −0.259248 | − | 0.642079i | ||||
\(490\) | −7.80758 | + | 18.7238i | −0.352711 | + | 0.845856i | ||||
\(491\) | −0.695268 | + | 10.6077i | −0.0313770 | + | 0.478721i | 0.953037 | + | 0.302854i | \(0.0979394\pi\) |
−0.984414 | + | 0.175867i | \(0.943727\pi\) | |||||||
\(492\) | −18.8786 | − | 4.02444i | −0.851111 | − | 0.181436i | ||||
\(493\) | 15.8939 | + | 13.9386i | 0.715825 | + | 0.627762i | ||||
\(494\) | −17.1200 | − | 15.0856i | −0.770267 | − | 0.678735i | ||||
\(495\) | 19.1888 | − | 18.5137i | 0.862472 | − | 0.832127i | ||||
\(496\) | 10.1041 | − | 2.60522i | 0.453689 | − | 0.116978i | ||||
\(497\) | −6.79801 | − | 25.3705i | −0.304932 | − | 1.13802i | ||||
\(498\) | −0.146720 | + | 0.696331i | −0.00657467 | + | 0.0312033i | ||||
\(499\) | −12.9448 | − | 38.1340i | −0.579487 | − | 1.70711i | −0.699765 | − | 0.714373i | \(-0.746712\pi\) |
0.120279 | − | 0.992740i | \(-0.461621\pi\) | |||||||
\(500\) | −0.321197 | − | 0.659164i | −0.0143644 | − | 0.0294787i | ||||
\(501\) | −28.3386 | − | 32.9036i | −1.26608 | − | 1.47003i | ||||
\(502\) | 2.77850 | + | 2.14248i | 0.124011 | + | 0.0956233i | ||||
\(503\) | 8.91808 | − | 21.5301i | 0.397638 | − | 0.959982i | −0.590587 | − | 0.806974i | \(-0.701104\pi\) |
0.988225 | − | 0.153008i | \(-0.0488961\pi\) | |||||||
\(504\) | 13.3779 | − | 0.541448i | 0.595898 | − | 0.0241180i | ||||
\(505\) | 19.5218 | + | 47.1298i | 0.868709 | + | 2.09725i | ||||
\(506\) | −12.9510 | − | 3.50305i | −0.575741 | − | 0.155730i | ||||
\(507\) | −33.2337 | + | 16.0208i | −1.47596 | + | 0.711507i | ||||
\(508\) | 3.12282 | − | 22.8834i | 0.138553 | − | 1.01529i | ||||
\(509\) | −29.9624 | − | 14.7758i | −1.32806 | − | 0.654926i | −0.366730 | − | 0.930328i | \(-0.619523\pi\) |
−0.961329 | + | 0.275401i | \(0.911189\pi\) | |||||||
\(510\) | 16.1693 | − | 7.74759i | 0.715989 | − | 0.343069i | ||||
\(511\) | 3.45122 | − | 5.97769i | 0.152673 | − | 0.264437i | ||||
\(512\) | −3.94114 | − | 22.2815i | −0.174175 | − | 0.984715i | ||||
\(513\) | −10.3906 | + | 9.84693i | −0.458755 | + | 0.434752i | ||||
\(514\) | 1.05333 | − | 3.07906i | 0.0464603 | − | 0.135812i | ||||
\(515\) | −2.92307 | − | 44.5975i | −0.128806 | − | 1.96520i | ||||
\(516\) | −2.39096 | − | 20.3040i | −0.105256 | − | 0.893833i | ||||
\(517\) | 14.9337 | + | 17.0286i | 0.656781 | + | 0.748916i | ||||
\(518\) | −13.2685 | + | 13.2059i | −0.582985 | + | 0.580235i | ||||
\(519\) | −4.94976 | − | 6.57164i | −0.217270 | − | 0.288463i | ||||
\(520\) | −3.07273 | − | 52.5950i | −0.134748 | − | 2.30644i | ||||
\(521\) | −8.90864 | + | 21.5074i | −0.390295 | + | 0.942254i | 0.599581 | + | 0.800314i | \(0.295334\pi\) |
−0.989875 | + | 0.141940i | \(0.954666\pi\) | |||||||
\(522\) | −14.1805 | − | 36.2988i | −0.620664 | − | 1.58875i | ||||
\(523\) | −4.00512 | + | 5.99409i | −0.175132 | + | 0.262103i | −0.908643 | − | 0.417574i | \(-0.862880\pi\) |
0.733511 | + | 0.679678i | \(0.237880\pi\) | |||||||
\(524\) | 5.20784 | − | 7.71484i | 0.227505 | − | 0.337025i | ||||
\(525\) | −6.29518 | + | 12.4824i | −0.274744 | + | 0.544776i | ||||
\(526\) | 10.7184 | + | 16.1236i | 0.467345 | + | 0.703024i | ||||
\(527\) | −5.79917 | − | 1.55388i | −0.252616 | − | 0.0676882i | ||||
\(528\) | −0.356436 | + | 19.3580i | −0.0155119 | + | 0.842450i | ||||
\(529\) | 11.0847 | − | 2.97014i | 0.481945 | − | 0.129137i | ||||
\(530\) | 43.1748 | + | 38.0443i | 1.87539 | + | 1.65254i | ||||
\(531\) | −1.47999 | − | 4.63068i | −0.0642260 | − | 0.200955i | ||||
\(532\) | −7.77920 | − | 3.88212i | −0.337271 | − | 0.168311i | ||||
\(533\) | 29.2691 | − | 14.4339i | 1.26779 | − | 0.625203i | ||||
\(534\) | 8.39822 | + | 6.59651i | 0.363426 | + | 0.285459i | ||||
\(535\) | 6.26880 | + | 47.6163i | 0.271024 | + | 2.05863i | ||||
\(536\) | 10.9488 | − | 1.36249i | 0.472915 | − | 0.0588506i | ||||
\(537\) | 36.1255 | + | 15.3440i | 1.55893 | + | 0.662142i | ||||
\(538\) | −5.63275 | − | 9.80971i | −0.242845 | − | 0.422927i | ||||
\(539\) | 2.45896 | + | 12.3620i | 0.105915 | + | 0.532471i | ||||
\(540\) | −33.0357 | − | 1.04382i | −1.42163 | − | 0.0449190i | ||||
\(541\) | 19.3860 | + | 29.0132i | 0.833470 | + | 1.24738i | 0.966603 | + | 0.256278i | \(0.0824961\pi\) |
−0.133134 | + | 0.991098i | \(0.542504\pi\) | |||||||
\(542\) | −3.58721 | − | 0.243638i | −0.154084 | − | 0.0104652i | ||||
\(543\) | −1.53935 | + | 1.51204i | −0.0660600 | + | 0.0648877i | ||||
\(544\) | −4.33032 | + | 12.2779i | −0.185661 | + | 0.526409i | ||||
\(545\) | −12.0132 | + | 6.93584i | −0.514590 | + | 0.297099i | ||||
\(546\) | −17.1866 | + | 14.7315i | −0.735518 | + | 0.630450i | ||||
\(547\) | 9.63958 | − | 0.631812i | 0.412159 | − | 0.0270143i | 0.142086 | − | 0.989854i | \(-0.454619\pi\) |
0.270073 | + | 0.962840i | \(0.412952\pi\) | |||||||
\(548\) | 19.2045 | − | 10.9670i | 0.820377 | − | 0.468486i | ||||
\(549\) | 6.78641 | − | 18.8749i | 0.289637 | − | 0.805562i | ||||
\(550\) | −17.4837 | − | 10.1494i | −0.745509 | − | 0.432774i | ||||
\(551\) | −3.30303 | + | 25.0890i | −0.140714 | + | 1.06883i | ||||
\(552\) | 8.08321 | + | 14.5342i | 0.344044 | + | 0.618618i | ||||
\(553\) | −1.49014 | − | 11.3187i | −0.0633671 | − | 0.481321i | ||||
\(554\) | 19.0748 | + | 7.95394i | 0.810411 | + | 0.337931i | ||||
\(555\) | 35.0167 | − | 30.1585i | 1.48638 | − | 1.28016i | ||||
\(556\) | 2.07388 | − | 10.1744i | 0.0879523 | − | 0.431491i | ||||
\(557\) | 1.14324 | − | 5.74744i | 0.0484405 | − | 0.243527i | −0.948977 | − | 0.315344i | \(-0.897880\pi\) |
0.997418 | + | 0.0718176i | \(0.0228799\pi\) | |||||||
\(558\) | 8.17141 | + | 7.46449i | 0.345923 | + | 0.315997i | ||||
\(559\) | 24.4409 | + | 24.4409i | 1.03374 | + | 1.03374i | ||||
\(560\) | −6.27238 | − | 19.0685i | −0.265056 | − | 0.805790i | ||||
\(561\) | 5.65610 | − | 9.59720i | 0.238801 | − | 0.405194i | ||||
\(562\) | 2.50315 | − | 1.66400i | 0.105589 | − | 0.0701918i | ||||
\(563\) | −9.27205 | − | 27.3146i | −0.390771 | − | 1.15117i | −0.947301 | − | 0.320345i | \(-0.896201\pi\) |
0.556530 | − | 0.830827i | \(-0.312132\pi\) | |||||||
\(564\) | 2.21935 | − | 27.9878i | 0.0934513 | − | 1.17850i | ||||
\(565\) | 2.15302 | + | 4.36589i | 0.0905782 | + | 0.183674i | ||||
\(566\) | −2.20718 | − | 0.295893i | −0.0927749 | − | 0.0124373i | ||||
\(567\) | 8.23612 | + | 11.5687i | 0.345885 | + | 0.485840i | ||||
\(568\) | −38.9606 | − | 26.4343i | −1.63475 | − | 1.10916i | ||||
\(569\) | 23.0077 | + | 3.02902i | 0.964532 | + | 0.126983i | 0.596309 | − | 0.802755i | \(-0.296633\pi\) |
0.368222 | + | 0.929738i | \(0.379966\pi\) | |||||||
\(570\) | 18.4645 | + | 10.9409i | 0.773392 | + | 0.458265i | ||||
\(571\) | 22.3539 | + | 25.4898i | 0.935483 | + | 1.06671i | 0.997641 | + | 0.0686479i | \(0.0218685\pi\) |
−0.0621577 | + | 0.998066i | \(0.519798\pi\) | |||||||
\(572\) | −19.8040 | − | 26.0633i | −0.828045 | − | 1.08976i | ||||
\(573\) | −0.843544 | + | 0.944682i | −0.0352396 | + | 0.0394647i | ||||
\(574\) | 9.36793 | − | 8.17635i | 0.391010 | − | 0.341274i | ||||
\(575\) | −17.3650 | −0.724171 | ||||||||
\(576\) | 17.5064 | − | 16.4173i | 0.729431 | − | 0.684054i | ||||
\(577\) | −3.26169 | −0.135786 | −0.0678931 | − | 0.997693i | \(-0.521628\pi\) | ||||
−0.0678931 | + | 0.997693i | \(0.521628\pi\) | |||||||
\(578\) | −12.4693 | + | 10.8833i | −0.518656 | + | 0.452684i | ||||
\(579\) | 8.78261 | + | 26.6543i | 0.364993 | + | 1.10772i | ||||
\(580\) | −46.5213 | + | 35.3488i | −1.93169 | + | 1.46778i | ||||
\(581\) | −0.302247 | − | 0.344647i | −0.0125393 | − | 0.0142984i | ||||
\(582\) | 0.235683 | − | 20.8247i | 0.00976936 | − | 0.863212i | ||||
\(583\) | 35.4476 | + | 4.66677i | 1.46809 | + | 0.193278i | ||||
\(584\) | −2.32769 | − | 12.1520i | −0.0963204 | − | 0.502852i | ||||
\(585\) | 44.9350 | − | 33.2187i | 1.85783 | − | 1.37343i | ||||
\(586\) | −14.3601 | − | 1.92509i | −0.593209 | − | 0.0795249i | ||||
\(587\) | 2.26260 | + | 4.58809i | 0.0933874 | + | 0.189371i | 0.938554 | − | 0.345132i | \(-0.112166\pi\) |
−0.845167 | + | 0.534502i | \(0.820499\pi\) | |||||||
\(588\) | 8.85716 | − | 12.8709i | 0.365263 | − | 0.530788i | ||||
\(589\) | −2.31010 | − | 6.80534i | −0.0951861 | − | 0.280409i | ||||
\(590\) | −6.06985 | + | 4.03502i | −0.249892 | + | 0.166119i | ||||
\(591\) | −7.44984 | − | 0.0666955i | −0.306445 | − | 0.00274349i | ||||
\(592\) | −2.51133 | + | 33.4628i | −0.103215 | + | 1.37531i | ||||
\(593\) | 11.2092 | + | 11.2092i | 0.460305 | + | 0.460305i | 0.898755 | − | 0.438450i | \(-0.144472\pi\) |
−0.438450 | + | 0.898755i | \(0.644472\pi\) | |||||||
\(594\) | −17.4009 | + | 10.9053i | −0.713969 | + | 0.447450i | ||||
\(595\) | −2.25324 | + | 11.3278i | −0.0923740 | + | 0.464395i | ||||
\(596\) | 40.0453 | + | 8.16257i | 1.64032 | + | 0.334352i | ||||
\(597\) | 0.925566 | + | 4.88111i | 0.0378809 | + | 0.199770i | ||||
\(598\) | −25.9514 | − | 10.8214i | −1.06123 | − | 0.442519i | ||||
\(599\) | 3.17748 | + | 24.1354i | 0.129828 | + | 0.986145i | 0.925055 | + | 0.379833i | \(0.124018\pi\) |
−0.795227 | + | 0.606312i | \(0.792648\pi\) | |||||||
\(600\) | 6.09668 | + | 24.3067i | 0.248896 | + | 0.992317i | ||||
\(601\) | 3.38048 | − | 25.6773i | 0.137893 | − | 1.04740i | −0.772898 | − | 0.634531i | \(-0.781193\pi\) |
0.910790 | − | 0.412869i | \(-0.135473\pi\) | |||||||
\(602\) | 11.3896 | + | 6.61175i | 0.464206 | + | 0.269475i | ||||
\(603\) | 7.55723 | + | 8.93514i | 0.307754 | + | 0.363867i | ||||
\(604\) | −15.1763 | − | 26.5756i | −0.617516 | − | 1.08135i | ||||
\(605\) | 10.1252 | − | 0.663642i | 0.411648 | − | 0.0269809i | ||||
\(606\) | −7.22827 | − | 38.6180i | −0.293628 | − | 1.56875i | ||||
\(607\) | −13.3218 | + | 7.69134i | −0.540715 | + | 0.312182i | −0.745369 | − | 0.666653i | \(-0.767727\pi\) |
0.204654 | + | 0.978834i | \(0.434393\pi\) | |||||||
\(608\) | −15.1001 | + | 3.85530i | −0.612389 | + | 0.156353i | ||||
\(609\) | 24.1890 | + | 6.71409i | 0.980189 | + | 0.272069i | ||||
\(610\) | −30.0032 | − | 2.03778i | −1.21480 | − | 0.0825072i | ||||
\(611\) | 26.3711 | + | 39.4671i | 1.06686 | + | 1.59667i | ||||
\(612\) | −13.4158 | + | 3.27121i | −0.542302 | + | 0.132231i | ||||
\(613\) | −8.34387 | − | 41.9474i | −0.337006 | − | 1.69424i | −0.662797 | − | 0.748800i | \(-0.730631\pi\) |
0.325791 | − | 0.945442i | \(-0.394369\pi\) | |||||||
\(614\) | −6.19770 | − | 10.7936i | −0.250119 | − | 0.435594i | ||||
\(615\) | −24.5189 | + | 18.4676i | −0.988696 | + | 0.744686i | ||||
\(616\) | −9.84059 | − | 7.66247i | −0.396489 | − | 0.308730i | ||||
\(617\) | −4.98997 | − | 37.9026i | −0.200888 | − | 1.52590i | −0.733588 | − | 0.679595i | \(-0.762156\pi\) |
0.532699 | − | 0.846305i | \(-0.321178\pi\) | |||||||
\(618\) | −4.87881 | + | 34.0739i | −0.196254 | + | 1.37065i | ||||
\(619\) | −4.29615 | + | 2.11863i | −0.172677 | + | 0.0851549i | −0.526573 | − | 0.850130i | \(-0.676523\pi\) |
0.353896 | + | 0.935285i | \(0.384857\pi\) | |||||||
\(620\) | 7.40935 | − | 14.8472i | 0.297567 | − | 0.596280i | ||||
\(621\) | −8.22381 | + | 15.6052i | −0.330010 | + | 0.626217i | ||||
\(622\) | 13.7412 | + | 12.1083i | 0.550973 | + | 0.485500i | ||||
\(623\) | −6.64478 | + | 1.78046i | −0.266218 | + | 0.0713328i | ||||
\(624\) | −6.03596 | + | 40.1247i | −0.241632 | + | 1.60627i | ||||
\(625\) | 23.5786 | + | 6.31786i | 0.943143 | + | 0.252714i | ||||
\(626\) | 17.8511 | + | 26.8533i | 0.713473 | + | 1.07327i | ||||
\(627\) | 13.3137 | − | 0.752991i | 0.531697 | − | 0.0300715i | ||||
\(628\) | 25.5664 | + | 17.2584i | 1.02021 | + | 0.688684i | ||||
\(629\) | 10.7267 | − | 16.0537i | 0.427703 | − | 0.640102i | ||||
\(630\) | 13.3010 | − | 16.6253i | 0.529925 | − | 0.662369i | ||||
\(631\) | 5.94701 | − | 14.3574i | 0.236747 | − | 0.571557i | −0.760196 | − | 0.649694i | \(-0.774897\pi\) |
0.996943 | + | 0.0781366i | \(0.0248970\pi\) | |||||||
\(632\) | −15.2898 | − | 13.6019i | −0.608195 | − | 0.541053i | ||||
\(633\) | 6.96192 | − | 0.853222i | 0.276712 | − | 0.0339125i | ||||
\(634\) | 23.6849 | − | 23.5732i | 0.940648 | − | 0.936210i | ||||
\(635\) | −24.2159 | − | 27.6129i | −0.960977 | − | 1.09578i | ||||
\(636\) | −26.4964 | − | 35.5268i | −1.05065 | − | 1.40873i | ||||
\(637\) | 1.72763 | + | 26.3586i | 0.0684513 | + | 1.04436i | ||||
\(638\) | −11.7501 | + | 34.3475i | −0.465189 | + | 1.35983i | ||||
\(639\) | 0.894077 | − | 49.9299i | 0.0353692 | − | 1.97520i | ||||
\(640\) | −30.8599 | − | 18.5047i | −1.21984 | − | 0.731461i | ||||
\(641\) | 7.06589 | − | 12.2385i | 0.279086 | − | 0.483391i | −0.692072 | − | 0.721829i | \(-0.743302\pi\) |
0.971158 | + | 0.238437i | \(0.0766352\pi\) | |||||||
\(642\) | 2.83675 | − | 36.8801i | 0.111957 | − | 1.45554i | ||||
\(643\) | −37.4995 | − | 18.4927i | −1.47884 | − | 0.729282i | −0.489107 | − | 0.872224i | \(-0.662677\pi\) |
−0.989731 | + | 0.142942i | \(0.954344\pi\) | |||||||
\(644\) | −10.6147 | − | 1.44855i | −0.418276 | − | 0.0570808i | ||||
\(645\) | −26.8692 | − | 18.3034i | −1.05797 | − | 0.720697i | ||||
\(646\) | 8.65577 | + | 2.34126i | 0.340557 | + | 0.0921156i | ||||
\(647\) | −4.72019 | − | 11.3955i | −0.185570 | − | 0.448005i | 0.803528 | − | 0.595267i | \(-0.202954\pi\) |
−0.989097 | + | 0.147262i | \(0.952954\pi\) | |||||||
\(648\) | 24.7307 | + | 6.03244i | 0.971515 | + | 0.236977i | ||||
\(649\) | −1.73300 | + | 4.18382i | −0.0680260 | + | 0.164229i | ||||
\(650\) | −33.5515 | − | 25.8712i | −1.31600 | − | 1.01475i | ||||
\(651\) | −7.00457 | + | 1.32822i | −0.274531 | + | 0.0520571i | ||||
\(652\) | 15.8944 | − | 7.74503i | 0.622473 | − | 0.303319i | ||||
\(653\) | 9.55740 | + | 28.1552i | 0.374010 | + | 1.10180i | 0.957191 | + | 0.289456i | \(0.0934743\pi\) |
−0.583181 | + | 0.812342i | \(0.698192\pi\) | |||||||
\(654\) | 10.1548 | − | 3.31941i | 0.397084 | − | 0.129799i | ||||
\(655\) | −3.83103 | − | 14.2976i | −0.149691 | − | 0.558653i | ||||
\(656\) | 3.11816 | − | 22.0697i | 0.121744 | − | 0.861677i | ||||
\(657\) | 9.44432 | − | 9.11204i | 0.368458 | − | 0.355495i | ||||
\(658\) | 13.5692 | + | 11.9567i | 0.528981 | + | 0.466121i | ||||
\(659\) | 13.2681 | + | 11.6358i | 0.516850 | + | 0.453266i | 0.877598 | − | 0.479398i | \(-0.159145\pi\) |
−0.360747 | + | 0.932664i | \(0.617478\pi\) | |||||||
\(660\) | 22.8684 | + | 20.6153i | 0.890151 | + | 0.802450i | ||||
\(661\) | −0.853829 | + | 13.0269i | −0.0332101 | + | 0.506688i | 0.948558 | + | 0.316604i | \(0.102543\pi\) |
−0.981768 | + | 0.190084i | \(0.939124\pi\) | |||||||
\(662\) | 8.96636 | − | 21.5027i | 0.348487 | − | 0.835728i | ||||
\(663\) | 14.3776 | − | 18.3939i | 0.558379 | − | 0.714360i | ||||
\(664\) | −0.813897 | − | 0.113031i | −0.0315853 | − | 0.00438645i | ||||
\(665\) | −12.7731 | + | 5.29081i | −0.495321 | + | 0.205169i | ||||
\(666\) | −31.1783 | + | 17.1678i | −1.20813 | + | 0.665239i | ||||
\(667\) | 6.08331 | + | 30.5829i | 0.235547 | + | 1.18417i | ||||
\(668\) | 35.6236 | − | 35.2883i | 1.37832 | − | 1.36534i | ||||
\(669\) | 15.0576 | + | 13.4455i | 0.582160 | + | 0.519834i | ||||
\(670\) | 9.78212 | − | 14.5653i | 0.377916 | − | 0.562707i | ||||
\(671\) | −16.1811 | + | 9.34217i | −0.624665 | + | 0.360650i | ||||
\(672\) | 1.69909 | + | 15.3664i | 0.0655440 | + | 0.592773i | ||||
\(673\) | −4.58568 | − | 2.64754i | −0.176765 | − | 0.102055i | 0.409007 | − | 0.912531i | \(-0.365875\pi\) |
−0.585772 | + | 0.810476i | \(0.699209\pi\) | |||||||
\(674\) | −13.1639 | + | 6.45306i | −0.507054 | + | 0.248563i | ||||
\(675\) | −18.0556 | + | 19.5059i | −0.694959 | + | 0.750782i | ||||
\(676\) | −21.1258 | − | 36.9940i | −0.812532 | − | 1.42284i | ||||
\(677\) | 10.3277 | + | 3.50579i | 0.396927 | + | 0.134738i | 0.512764 | − | 0.858530i | \(-0.328622\pi\) |
−0.115837 | + | 0.993268i | \(0.536955\pi\) | |||||||
\(678\) | −0.929299 | − | 3.63212i | −0.0356895 | − | 0.139491i | ||||
\(679\) | 10.6432 | + | 8.16685i | 0.408450 | + | 0.313415i | ||||
\(680\) | 10.2242 | + | 18.0026i | 0.392081 | + | 0.690369i | ||||
\(681\) | −28.3429 | − | 3.98986i | −1.08610 | − | 0.152892i | ||||
\(682\) | −1.32151 | − | 10.2246i | −0.0506031 | − | 0.391521i | ||||
\(683\) | 8.56693 | + | 5.72424i | 0.327805 | + | 0.219032i | 0.708571 | − | 0.705639i | \(-0.249340\pi\) |
−0.380767 | + | 0.924671i | \(0.624340\pi\) | |||||||
\(684\) | −12.1779 | − | 11.1773i | −0.465635 | − | 0.427376i | ||||
\(685\) | 6.86102 | − | 34.4927i | 0.262146 | − | 1.31790i | ||||
\(686\) | 8.19859 | + | 24.3412i | 0.313024 | + | 0.929351i | ||||
\(687\) | 4.74228 | − | 2.68164i | 0.180929 | − | 0.102311i | ||||
\(688\) | 23.1959 | − | 4.38631i | 0.884337 | − | 0.167226i | ||||
\(689\) | 72.3766 | + | 19.3933i | 2.75733 | + | 0.738825i | ||||
\(690\) | 25.8784 | + | 5.45270i | 0.985175 | + | 0.207581i | ||||
\(691\) | −16.9881 | + | 19.3712i | −0.646258 | + | 0.736916i | −0.978493 | − | 0.206281i | \(-0.933864\pi\) |
0.332235 | + | 0.943197i | \(0.392197\pi\) | |||||||
\(692\) | 7.17197 | − | 6.22990i | 0.272637 | − | 0.236825i | ||||
\(693\) | 1.10138 | − | 13.1826i | 0.0418381 | − | 0.500766i | ||||
\(694\) | −31.8590 | − | 4.27098i | −1.20935 | − | 0.162124i | ||||
\(695\) | −10.0521 | − | 13.1001i | −0.381296 | − | 0.496915i | ||||
\(696\) | 40.6726 | − | 19.2525i | 1.54169 | − | 0.729762i | ||||
\(697\) | −7.80697 | + | 10.1742i | −0.295710 | + | 0.385377i | ||||
\(698\) | −17.3827 | − | 17.4651i | −0.657945 | − | 0.661064i | ||||
\(699\) | 5.92103 | + | 4.03344i | 0.223954 | + | 0.152559i | ||||
\(700\) | −14.8845 | − | 6.24800i | −0.562582 | − | 0.236152i | ||||
\(701\) | −15.8279 | + | 10.5758i | −0.597810 | + | 0.399444i | −0.817335 | − | 0.576163i | \(-0.804549\pi\) |
0.219525 | + | 0.975607i | \(0.429549\pi\) | |||||||
\(702\) | −39.1389 | + | 17.8991i | −1.47720 | + | 0.675559i | ||||
\(703\) | 23.1120 | 0.871687 | ||||||||
\(704\) | −22.3272 | + | 1.14554i | −0.841486 | + | 0.0431743i | ||||
\(705\) | −31.2860 | − | 31.8512i | −1.17830 | − | 1.19959i | ||||
\(706\) | 3.11054 | + | 15.8333i | 0.117067 | + | 0.595895i | ||||
\(707\) | 22.6986 | + | 11.1937i | 0.853668 | + | 0.420983i | ||||
\(708\) | 5.21511 | − | 2.07704i | 0.195996 | − | 0.0780600i | ||||
\(709\) | 10.5363 | − | 31.0388i | 0.395698 | − | 1.16569i | −0.548455 | − | 0.836180i | \(-0.684784\pi\) |
0.944153 | − | 0.329508i | \(-0.106883\pi\) | |||||||
\(710\) | −72.3653 | + | 19.2069i | −2.71582 | + | 0.720824i | ||||
\(711\) | 3.21800 | − | 21.4658i | 0.120684 | − | 0.805031i | ||||
\(712\) | −6.92341 | + | 10.2042i | −0.259466 | + | 0.382417i | ||||
\(713\) | −5.39099 | − | 7.02568i | −0.201894 | − | 0.263114i | ||||
\(714\) | 3.49686 | − | 8.17911i | 0.130867 | − | 0.306095i | ||||
\(715\) | −51.9425 | − | 3.40449i | −1.94254 | − | 0.127321i | ||||
\(716\) | −14.7707 | + | 42.8464i | −0.552008 | + | 1.60124i | ||||
\(717\) | 2.82224 | − | 5.59608i | 0.105399 | − | 0.208990i | ||||
\(718\) | −38.2425 | − | 18.9717i | −1.42720 | − | 0.708017i | ||||
\(719\) | −23.8829 | + | 23.8829i | −0.890681 | + | 0.890681i | −0.994587 | − | 0.103906i | \(-0.966866\pi\) |
0.103906 | + | 0.994587i | \(0.466866\pi\) | |||||||
\(720\) | −1.45324 | − | 38.1377i | −0.0541592 | − | 1.42131i | ||||
\(721\) | −15.6788 | − | 15.6788i | −0.583911 | − | 0.583911i | ||||
\(722\) | −5.15072 | − | 15.2922i | −0.191690 | − | 0.569119i | ||||
\(723\) | 2.15220 | + | 38.0531i | 0.0800411 | + | 1.41521i | ||||
\(724\) | −1.86546 | − | 1.65163i | −0.0693292 | − | 0.0613825i | ||||
\(725\) | −3.07302 | + | 46.8852i | −0.114129 | + | 1.74127i | ||||
\(726\) | −7.73597 | − | 1.10766i | −0.287109 | − | 0.0411092i | ||||
\(727\) | −29.2263 | + | 22.4262i | −1.08394 | + | 0.831740i | −0.986543 | − | 0.163505i | \(-0.947720\pi\) |
−0.0974025 | + | 0.995245i | \(0.531053\pi\) | |||||||
\(728\) | −18.3508 | − | 18.6130i | −0.680125 | − | 0.689843i | ||||
\(729\) | 8.97831 | + | 25.4635i | 0.332530 | + | 0.943093i | ||||
\(730\) | −17.0163 | − | 9.87811i | −0.629803 | − | 0.365605i | ||||
\(731\) | −12.8619 | − | 4.36604i | −0.475716 | − | 0.161484i | ||||
\(732\) | 22.2875 | + | 6.29997i | 0.823771 | + | 0.232854i | ||||
\(733\) | 22.5033 | − | 45.6321i | 0.831178 | − | 1.68546i | 0.108692 | − | 0.994075i | \(-0.465334\pi\) |
0.722485 | − | 0.691386i | \(-0.243000\pi\) | |||||||
\(734\) | −6.85627 | − | 4.60470i | −0.253070 | − | 0.169963i | ||||
\(735\) | −6.21544 | − | 24.0557i | −0.229260 | − | 0.887309i | ||||
\(736\) | −16.0922 | + | 10.4794i | −0.593166 | + | 0.386276i | ||||
\(737\) | − | 10.9011i | − | 0.401548i | ||||||
\(738\) | 21.4105 | − | 10.0242i | 0.788131 | − | 0.368997i | ||||
\(739\) | 27.8334 | + | 41.6557i | 1.02387 | + | 1.53233i | 0.834942 | + | 0.550338i | \(0.185501\pi\) |
0.188927 | + | 0.981991i | \(0.439499\pi\) | |||||||
\(740\) | 37.5545 | + | 37.9114i | 1.38053 | + | 1.39365i | ||||
\(741\) | 27.8692 | + | 2.07737i | 1.02380 | + | 0.0763140i | ||||
\(742\) | 28.5492 | + | 0.0675076i | 1.04808 | + | 0.00247828i | ||||
\(743\) | 2.01724 | + | 1.54788i | 0.0740054 | + | 0.0567863i | 0.645102 | − | 0.764097i | \(-0.276815\pi\) |
−0.571096 | + | 0.820883i | \(0.693482\pi\) | |||||||
\(744\) | −7.94147 | + | 10.0127i | −0.291148 | + | 0.367083i | ||||
\(745\) | 51.5605 | − | 39.5637i | 1.88903 | − | 1.44950i | ||||
\(746\) | −12.0598 | − | 15.7939i | −0.441542 | − | 0.578255i | ||||
\(747\) | −0.371421 | − | 0.788448i | −0.0135896 | − | 0.0288478i | ||||
\(748\) | 11.5097 | + | 5.74377i | 0.420835 | + | 0.210013i | ||||
\(749\) | 17.9143 | + | 15.7104i | 0.654574 | + | 0.574046i | ||||
\(750\) | 0.800892 | + | 0.406288i | 0.0292444 | + | 0.0148355i | ||||
\(751\) | −3.73990 | + | 13.9575i | −0.136471 | + | 0.509317i | 0.863516 | + | 0.504321i | \(0.168257\pi\) |
−0.999988 | + | 0.00499624i | \(0.998410\pi\) | |||||||
\(752\) | 32.4175 | + | 0.306626i | 1.18214 | + | 0.0111815i | ||||
\(753\) | −4.29697 | − | 0.0384690i | −0.156590 | − | 0.00140189i | ||||
\(754\) | −33.8100 | + | 68.1532i | −1.23129 | + | 2.48199i | ||||
\(755\) | −47.7316 | − | 9.49441i | −1.73713 | − | 0.345537i | ||||
\(756\) | −12.6639 | + | 10.4171i | −0.460582 | + | 0.378868i | ||||
\(757\) | 4.14404 | − | 6.20199i | 0.150618 | − | 0.225415i | −0.748487 | − | 0.663150i | \(-0.769219\pi\) |
0.899104 | + | 0.437735i | \(0.144219\pi\) | |||||||
\(758\) | 22.2848 | + | 17.1836i | 0.809422 | + | 0.624138i | ||||
\(759\) | 15.2365 | − | 6.15196i | 0.553052 | − | 0.223302i | ||||
\(760\) | −11.1186 | + | 22.1487i | −0.403312 | + | 0.803418i | ||||
\(761\) | −24.6871 | + | 32.1729i | −0.894908 | + | 1.16627i | 0.0904722 | + | 0.995899i | \(0.471162\pi\) |
−0.985380 | + | 0.170368i | \(0.945504\pi\) | |||||||
\(762\) | 13.8649 | + | 24.6550i | 0.502273 | + | 0.893156i | ||||
\(763\) | −2.21216 | + | 6.51680i | −0.0800854 | + | 0.235924i | ||||
\(764\) | −1.15599 | − | 0.895738i | −0.0418222 | − | 0.0324067i | ||||
\(765\) | −10.0634 | + | 19.5176i | −0.363842 | + | 0.705660i | ||||
\(766\) | 11.6966 | − | 34.1912i | 0.422615 | − | 1.23538i | ||||
\(767\) | −4.74531 | + | 8.21911i | −0.171343 | + | 0.296775i | ||||
\(768\) | 20.3183 | + | 18.8458i | 0.733175 | + | 0.680040i | ||||
\(769\) | 20.7179 | + | 35.8844i | 0.747105 | + | 1.29402i | 0.949205 | + | 0.314659i | \(0.101890\pi\) |
−0.202099 | + | 0.979365i | \(0.564776\pi\) | |||||||
\(770\) | −19.4613 | + | 3.82327i | −0.701336 | + | 0.137781i | ||||
\(771\) | 1.24730 | + | 3.78542i | 0.0449203 | + | 0.136329i | ||||
\(772\) | −29.9971 | + | 12.2593i | −1.07962 | + | 0.441223i | ||||
\(773\) | 24.6034 | − | 4.89391i | 0.884921 | − | 0.176022i | 0.268351 | − | 0.963321i | \(-0.413521\pi\) |
0.616571 | + | 0.787299i | \(0.288521\pi\) | |||||||
\(774\) | 17.3428 | + | 18.0605i | 0.623373 | + | 0.649171i | ||||
\(775\) | −5.10651 | − | 12.3282i | −0.183431 | − | 0.442842i | ||||
\(776\) | 24.0069 | − | 1.40254i | 0.861797 | − | 0.0503483i | ||||
\(777\) | 3.19603 | − | 22.7037i | 0.114657 | − | 0.814492i | ||||
\(778\) | −10.2576 | + | 4.22046i | −0.367754 | + | 0.151311i | ||||
\(779\) | −15.3184 | − | 1.00402i | −0.548840 | − | 0.0359729i | ||||
\(780\) | 41.8768 | + | 49.0902i | 1.49943 | + | 1.75771i | ||||
\(781\) | −30.6716 | + | 34.9743i | −1.09752 | + | 1.25148i | ||||
\(782\) | 11.0272 | − | 0.696575i | 0.394330 | − | 0.0249095i | ||||
\(783\) | 40.6785 | + | 24.9657i | 1.45373 | + | 0.892203i | ||||
\(784\) | 15.5380 | + | 9.16790i | 0.554929 | + | 0.327425i | ||||
\(785\) | 47.3811 | − | 12.6957i | 1.69110 | − | 0.453130i | ||||
\(786\) | 0.616815 | + | 11.3833i | 0.0220011 | + | 0.406030i | ||||
\(787\) | 34.2010 | − | 11.6097i | 1.21913 | − | 0.413840i | 0.363584 | − | 0.931561i | \(-0.381553\pi\) |
0.855549 | + | 0.517722i | \(0.173220\pi\) | |||||||
\(788\) | −0.522039 | − | 8.58682i | −0.0185969 | − | 0.305893i | ||||
\(789\) | −22.3850 | − | 7.82286i | −0.796927 | − | 0.278501i | ||||
\(790\) | −32.2744 | + | 4.17140i | −1.14827 | + | 0.148412i | ||||
\(791\) | 2.23123 | + | 0.924208i | 0.0793336 | + | 0.0328610i | ||||
\(792\) | −13.9606 | − | 19.1675i | −0.496069 | − | 0.681086i | ||||
\(793\) | −36.1767 | + | 14.9849i | −1.28467 | + | 0.532129i | ||||
\(794\) | −2.58365 | − | 4.49956i | −0.0916905 | − | 0.159683i | ||||
\(795\) | −70.2830 | − | 5.23888i | −2.49268 | − | 0.185804i | ||||
\(796\) | −5.54814 | + | 1.45853i | −0.196649 | + | 0.0516963i | ||||
\(797\) | −20.1660 | + | 40.8927i | −0.714318 | + | 1.44849i | 0.171847 | + | 0.985124i | \(0.445027\pi\) |
−0.886165 | + | 0.463370i | \(0.846640\pi\) | |||||||
\(798\) | 10.4663 | − | 1.95901i | 0.370502 | − | 0.0693481i | ||||
\(799\) | −16.1539 | − | 9.32643i | −0.571482 | − | 0.329945i | ||||
\(800\) | −27.5088 | + | 8.97669i | −0.972582 | + | 0.317374i | ||||
\(801\) | −13.0771 | − | 0.234167i | −0.462057 | − | 0.00827390i | ||||
\(802\) | 39.0824 | − | 19.1585i | 1.38005 | − | 0.676512i | ||||
\(803\) | −12.1986 | + | 0.799538i | −0.430479 | + | 0.0282151i | ||||
\(804\) | −9.68488 | + | 9.42343i | −0.341559 | + | 0.332339i | ||||
\(805\) | −12.8085 | + | 11.2327i | −0.451439 | + | 0.395901i | ||||
\(806\) | 0.0510902 | − | 21.6063i | 0.00179958 | − | 0.761048i | ||||
\(807\) | 12.7516 | + | 5.41613i | 0.448877 | + | 0.190657i | ||||
\(808\) | 43.9030 | − | 11.4306i | 1.54450 | − | 0.402127i | ||||
\(809\) | 19.5951 | + | 8.11657i | 0.688928 | + | 0.285363i | 0.699554 | − | 0.714580i | \(-0.253382\pi\) |
−0.0106253 | + | 0.999944i | \(0.503382\pi\) | |||||||
\(810\) | 33.0325 | − | 23.3994i | 1.16064 | − | 0.822170i | ||||
\(811\) | −8.18424 | − | 5.46854i | −0.287388 | − | 0.192026i | 0.403517 | − | 0.914972i | \(-0.367788\pi\) |
−0.690905 | + | 0.722946i | \(0.742788\pi\) | |||||||
\(812\) | −5.78949 | + | 28.4030i | −0.203171 | + | 0.996751i | ||||
\(813\) | 3.68317 | − | 2.41360i | 0.129174 | − | 0.0846487i | ||||
\(814\) | 32.5027 | + | 6.54511i | 1.13922 | + | 0.229406i | ||||
\(815\) | 7.27716 | − | 27.1587i | 0.254908 | − | 0.951329i | ||||
\(816\) | −4.84655 | − | 15.1907i | −0.169663 | − | 0.531781i | ||||
\(817\) | −4.20818 | − | 15.7051i | −0.147226 | − | 0.549453i | ||||
\(818\) | 0.0534596 | + | 0.846294i | 0.00186917 | + | 0.0295900i | ||||
\(819\) | 5.89454 | − | 27.0896i | 0.205972 | − | 0.946588i | ||||
\(820\) | −23.2438 | − | 26.7587i | −0.811709 | − | 0.934455i | ||||
\(821\) | −9.14970 | − | 18.5538i | −0.319327 | − | 0.647531i | 0.676732 | − | 0.736230i | \(-0.263396\pi\) |
−0.996058 | + | 0.0886991i | \(0.971729\pi\) | |||||||
\(822\) | −10.6478 | + | 24.9050i | −0.371383 | + | 0.868661i | ||||
\(823\) | −33.8105 | + | 4.45124i | −1.17856 | + | 0.155160i | −0.694248 | − | 0.719735i | \(-0.744263\pi\) |
−0.484311 | + | 0.874896i | \(0.660930\pi\) | |||||||
\(824\) | −39.6418 | − | 2.88082i | −1.38099 | − | 0.100358i | ||||
\(825\) | 24.5757 | − | 3.01189i | 0.855617 | − | 0.104861i | ||||
\(826\) | −0.944161 | + | 3.49062i | −0.0328515 | + | 0.121454i | ||||
\(827\) | 31.5143 | − | 6.26859i | 1.09586 | − | 0.217980i | 0.386123 | − | 0.922447i | \(-0.373814\pi\) |
0.709737 | + | 0.704467i | \(0.248814\pi\) | |||||||
\(828\) | −18.6367 | − | 8.21855i | −0.647672 | − | 0.285614i | ||||
\(829\) | 39.0527 | − | 26.0942i | 1.35636 | − | 0.906289i | 0.356748 | − | 0.934201i | \(-0.383886\pi\) |
0.999610 | + | 0.0279113i | \(0.00888560\pi\) | |||||||
\(830\) | −0.984465 | + | 0.859243i | −0.0341713 | + | 0.0298248i | ||||
\(831\) | −24.5067 | + | 6.33196i | −0.850127 | + | 0.219653i | ||||
\(832\) | −46.7048 | − | 3.72734i | −1.61920 | − | 0.129222i | ||||
\(833\) | −5.19014 | − | 8.98958i | −0.179828 | − | 0.311471i | ||||
\(834\) | 5.49528 | + | 11.4687i | 0.190286 | + | 0.397129i | ||||
\(835\) | −5.21514 | − | 79.5677i | −0.180477 | − | 2.75355i | ||||
\(836\) | 1.93761 | + | 15.2755i | 0.0670136 | + | 0.528314i | ||||
\(837\) | −13.4972 | − | 1.24944i | −0.466532 | − | 0.0431869i | ||||
\(838\) | 24.8727 | − | 6.60162i | 0.859212 | − | 0.228049i | ||||
\(839\) | −33.2329 | − | 4.37519i | −1.14733 | − | 0.151048i | −0.467206 | − | 0.884148i | \(-0.654739\pi\) |
−0.680121 | + | 0.733100i | \(0.738073\pi\) | |||||||
\(840\) | 20.2199 | + | 13.9850i | 0.697654 | + | 0.482527i | ||||
\(841\) | 54.8978 | − | 7.22744i | 1.89303 | − | 0.249222i | ||||
\(842\) | −0.318522 | − | 0.774152i | −0.0109770 | − | 0.0266790i | ||||
\(843\) | −1.21448 | + | 3.47521i | −0.0418288 | + | 0.119692i | ||||
\(844\) | 1.54247 | + | 7.95085i | 0.0530940 | + | 0.273679i | ||||
\(845\) | −66.4437 | − | 13.2165i | −2.28573 | − | 0.454660i | ||||
\(846\) | 18.5201 | + | 28.9718i | 0.636736 | + | 0.996070i | ||||
\(847\) | 3.55965 | − | 3.55965i | 0.122311 | − | 0.122311i | ||||
\(848\) | 38.7934 | − | 33.3771i | 1.33217 | − | 1.14617i | ||||
\(849\) | 2.37413 | − | 1.34251i | 0.0814799 | − | 0.0460748i | ||||
\(850\) | 16.3215 | + | 3.28668i | 0.559822 | + | 0.112732i | ||||
\(851\) | 26.9678 | − | 9.15433i | 0.924444 | − | 0.313807i | ||||
\(852\) | 57.5861 | − | 2.98380i | 1.97287 | − | 0.102223i | ||||
\(853\) | −29.3637 | + | 14.4806i | −1.00539 | + | 0.495806i | −0.868981 | − | 0.494846i | \(-0.835224\pi\) |
−0.136414 | + | 0.990652i | \(0.543558\pi\) | |||||||
\(854\) | −11.8579 | + | 9.05442i | −0.405769 | + | 0.309836i | ||||
\(855\) | −26.1185 | + | 2.96388i | −0.893234 | + | 0.101363i | ||||
\(856\) | 42.7102 | + | 0.302983i | 1.45981 | + | 0.0103557i | ||||
\(857\) | −3.58611 | + | 27.2392i | −0.122499 | + | 0.930474i | 0.814260 | + | 0.580500i | \(0.197143\pi\) |
−0.936759 | + | 0.349974i | \(0.886190\pi\) | |||||||
\(858\) | 38.6044 | + | 10.8137i | 1.31793 | + | 0.369175i | ||||
\(859\) | 40.9918 | − | 35.9488i | 1.39862 | − | 1.22656i | 0.457184 | − | 0.889372i | \(-0.348858\pi\) |
0.941438 | − | 0.337187i | \(-0.109475\pi\) | |||||||
\(860\) | 18.9238 | − | 32.4219i | 0.645296 | − | 1.10558i | ||||
\(861\) | −3.10458 | + | 14.9090i | −0.105804 | + | 0.508097i | ||||
\(862\) | 3.26762 | − | 48.1109i | 0.111296 | − | 1.63866i | ||||
\(863\) | − | 32.2435i | − | 1.09758i | −0.835960 | − | 0.548791i | \(-0.815088\pi\) | ||
0.835960 | − | 0.548791i | \(-0.184912\pi\) | |||||||
\(864\) | −4.96075 | + | 28.9722i | −0.168768 | + | 0.985656i | ||||
\(865\) | − | 15.1070i | − | 0.513655i | ||||||
\(866\) | 50.5770 | + | 3.43512i | 1.71868 | + | 0.116730i | ||||
\(867\) | 4.13241 | − | 19.8448i | 0.140344 | − | 0.673966i | ||||
\(868\) | −2.09305 | − | 7.96179i | −0.0710427 | − | 0.270241i | ||||
\(869\) | −15.2017 | + | 13.3315i | −0.515682 | + | 0.452241i | ||||
\(870\) | 19.3018 | − | 68.9064i | 0.654392 | − | 2.33615i | ||||
\(871\) | 2.98199 | − | 22.6504i | 0.101041 | − | 0.767480i | ||||
\(872\) | 4.63993 | + | 11.4305i | 0.157128 | + | 0.387084i | ||||
\(873\) | 15.1626 | + | 20.5105i | 0.513178 | + | 0.694175i | ||||
\(874\) | 8.02682 | + | 10.5121i | 0.271511 | + | 0.355578i | ||||
\(875\) | −0.518840 | + | 0.255863i | −0.0175400 | + | 0.00864976i | ||||
\(876\) | 11.2553 | + | 10.1464i | 0.380283 | + | 0.342816i | ||||
\(877\) | 26.4523 | − | 8.97936i | 0.893232 | − | 0.303211i | 0.163175 | − | 0.986597i | \(-0.447827\pi\) |
0.730057 | + | 0.683386i | \(0.239493\pi\) | |||||||
\(878\) | 9.59371 | − | 47.6418i | 0.323772 | − | 1.60783i | ||||
\(879\) | 15.4462 | − | 8.73445i | 0.520988 | − | 0.294606i | ||||
\(880\) | −21.9084 | + | 27.9993i | −0.738533 | + | 0.943855i | ||||
\(881\) | −9.58744 | + | 9.58744i | −0.323009 | + | 0.323009i | −0.849920 | − | 0.526911i | \(-0.823350\pi\) |
0.526911 | + | 0.849920i | \(0.323350\pi\) | |||||||
\(882\) | 0.864255 | + | 19.1159i | 0.0291010 | + | 0.643666i | ||||
\(883\) | 52.1221 | + | 10.3677i | 1.75405 | + | 0.348902i | 0.964357 | − | 0.264605i | \(-0.0852415\pi\) |
0.789690 | + | 0.613506i | \(0.210241\pi\) | |||||||
\(884\) | 22.3437 | + | 15.0829i | 0.751499 | + | 0.507293i | ||||
\(885\) | 2.94497 | − | 8.42698i | 0.0989939 | − | 0.283270i | ||||
\(886\) | 37.3260 | − | 15.3576i | 1.25399 | − | 0.515950i | ||||
\(887\) | −8.25925 | + | 1.08735i | −0.277318 | + | 0.0365097i | −0.267903 | − | 0.963446i | \(-0.586331\pi\) |
−0.00941582 | + | 0.999956i | \(0.502997\pi\) | |||||||
\(888\) | −22.2819 | − | 34.5342i | −0.747732 | − | 1.15889i | ||||
\(889\) | −18.0652 | − | 2.37833i | −0.605887 | − | 0.0797666i | ||||
\(890\) | 5.03048 | + | 18.9532i | 0.168622 | + | 0.635312i | ||||
\(891\) | 8.93204 | − | 23.5116i | 0.299234 | − | 0.787669i | ||||
\(892\) | −14.2774 | + | 18.4257i | −0.478044 | + | 0.616936i | ||||
\(893\) | −1.46034 | − | 22.2805i | −0.0488684 | − | 0.745588i | ||||
\(894\) | −45.1395 | + | 21.6288i | −1.50969 | + | 0.723375i | ||||
\(895\) | 36.0353 | + | 62.4149i | 1.20453 | + | 2.08630i | ||||
\(896\) | −17.5640 | + | 3.19244i | −0.586772 | + | 0.106652i | ||||
\(897\) | 33.3414 | − | 8.61466i | 1.11324 | − | 0.287635i | ||||
\(898\) | 18.2382 | + | 20.8961i | 0.608615 | + | 0.697312i | ||||
\(899\) | −19.9232 | + | 13.3123i | −0.664477 | + | 0.443989i | ||||
\(900\) | −23.9202 | − | 19.2302i | −0.797341 | − | 0.641006i | ||||
\(901\) | −28.8792 | + | 5.74443i | −0.962105 | + | 0.191375i | ||||
\(902\) | −21.2581 | − | 5.75001i | −0.707818 | − | 0.191454i | ||||
\(903\) | −16.0096 | + | 1.96207i | −0.532767 | + | 0.0652935i | ||||
\(904\) | 4.10913 | − | 1.36243i | 0.136668 | − | 0.0453138i | ||||
\(905\) | −3.92823 | + | 0.517161i | −0.130579 | + | 0.0171910i | ||||
\(906\) | 34.4640 | + | 14.7346i | 1.14499 | + | 0.489524i | ||||
\(907\) | 0.601014 | + | 1.21874i | 0.0199563 | + | 0.0404675i | 0.906623 | − | 0.421942i | \(-0.138652\pi\) |
−0.886666 | + | 0.462410i | \(0.846985\pi\) | |||||||
\(908\) | 2.31753 | − | 32.9689i | 0.0769101 | − | 1.09411i | ||||
\(909\) | 35.6036 | + | 32.3694i | 1.18090 | + | 1.07363i | ||||
\(910\) | −41.4826 | + | 2.62042i | −1.37514 | + | 0.0868660i | ||||
\(911\) | 12.4224 | + | 46.3609i | 0.411571 | + | 1.53600i | 0.791606 | + | 0.611032i | \(0.209245\pi\) |
−0.380035 | + | 0.924972i | \(0.624088\pi\) | |||||||
\(912\) | 11.8962 | − | 14.9262i | 0.393923 | − | 0.494257i | ||||
\(913\) | −0.210128 | + | 0.784207i | −0.00695421 | + | 0.0259535i | ||||
\(914\) | −10.5199 | + | 52.2414i | −0.347969 | + | 1.72799i | ||||
\(915\) | 30.8058 | − | 20.1872i | 1.01841 | − | 0.667369i | ||||
\(916\) | 3.47019 | + | 5.24706i | 0.114658 | + | 0.173368i | ||||
\(917\) | −6.10595 | − | 4.07986i | −0.201636 | − | 0.134729i | ||||
\(918\) | 10.6832 | − | 13.1109i | 0.352599 | − | 0.432725i | ||||
\(919\) | 2.41596 | + | 1.00072i | 0.0796953 | + | 0.0330109i | 0.422175 | − | 0.906514i | \(-0.361267\pi\) |
−0.342480 | + | 0.939525i | \(0.611267\pi\) | |||||||
\(920\) | −4.20068 | + | 30.2477i | −0.138492 | + | 0.997236i | ||||
\(921\) | 14.0305 | + | 5.95934i | 0.462321 | + | 0.196367i | ||||
\(922\) | 47.6234 | + | 0.112610i | 1.56839 | + | 0.00370863i | ||||
\(923\) | −73.2968 | + | 64.2796i | −2.41259 | + | 2.11579i | ||||
\(924\) | 15.2736 | + | 0.208979i | 0.502464 | + | 0.00687492i | ||||
\(925\) | 42.8213 | − | 2.80665i | 1.40795 | − | 0.0922822i | ||||
\(926\) | 1.14347 | + | 2.33262i | 0.0375769 | + | 0.0766547i | ||||
\(927\) | −20.4217 | − | 36.8809i | −0.670735 | − | 1.21133i | ||||
\(928\) | 25.4464 | + | 45.3031i | 0.835319 | + | 1.48715i | ||||
\(929\) | −31.5764 | − | 18.2306i | −1.03599 | − | 0.598128i | −0.117294 | − | 0.993097i | \(-0.537422\pi\) |
−0.918694 | + | 0.394969i | \(0.870755\pi\) | |||||||
\(930\) | 3.73893 | + | 19.9757i | 0.122604 | + | 0.655030i | ||||
\(931\) | 5.49572 | − | 11.1442i | 0.180115 | − | 0.365237i | ||||
\(932\) | −4.17015 | + | 7.14466i | −0.136598 | + | 0.234031i | ||||
\(933\) | −22.3690 | − | 1.66738i | −0.732327 | − | 0.0545875i | ||||
\(934\) | −1.59192 | + | 0.914081i | −0.0520891 | + | 0.0299096i | ||||
\(935\) | 18.8984 | − | 7.82798i | 0.618044 | − | 0.256002i | ||||
\(936\) | −23.7642 | − | 43.6452i | −0.776757 | − | 1.42659i | ||||
\(937\) | −23.2388 | − | 9.62584i | −0.759180 | − | 0.314462i | −0.0306988 | − | 0.999529i | \(-0.509773\pi\) |
−0.728481 | + | 0.685066i | \(0.759773\pi\) | |||||||
\(938\) | −1.11577 | − | 8.63279i | −0.0364311 | − | 0.281871i | ||||
\(939\) | −37.2813 | − | 13.0287i | −1.21663 | − | 0.425174i | ||||
\(940\) | 34.1745 | − | 38.5987i | 1.11465 | − | 1.25895i | ||||
\(941\) | −12.5259 | + | 4.25198i | −0.408334 | + | 0.138611i | −0.518046 | − | 0.855353i | \(-0.673340\pi\) |
0.109712 | + | 0.993963i | \(0.465007\pi\) | |||||||
\(942\) | −37.7235 | + | 2.04408i | −1.22910 | + | 0.0665996i | ||||
\(943\) | −18.2717 | + | 4.89588i | −0.595008 | + | 0.159432i | ||||
\(944\) | 2.81177 | + | 5.84031i | 0.0915152 | + | 0.190086i | ||||
\(945\) | −0.700252 | + | 26.0670i | −0.0227792 | + | 0.847959i | ||||
\(946\) | −1.47045 | − | 23.2780i | −0.0478084 | − | 0.756833i | ||||
\(947\) | −11.4461 | + | 13.0518i | −0.371949 | + | 0.424127i | −0.907287 | − | 0.420511i | \(-0.861851\pi\) |
0.535338 | + | 0.844638i | \(0.320184\pi\) | |||||||
\(948\) | 24.9851 | + | 1.98125i | 0.811480 | + | 0.0643479i | ||||
\(949\) | −25.5650 | − | 1.67562i | −0.829875 | − | 0.0543929i | ||||
\(950\) | 7.58321 | + | 18.4306i | 0.246032 | + | 0.597968i | ||||
\(951\) | −5.70506 | + | 40.5272i | −0.184999 | + | 1.31419i | ||||
\(952\) | 9.70261 | + | 3.37054i | 0.314463 | + | 0.109240i | ||||
\(953\) | −10.6297 | − | 25.6624i | −0.344330 | − | 0.831286i | −0.997268 | − | 0.0738741i | \(-0.976464\pi\) |
0.652938 | − | 0.757412i | \(-0.273536\pi\) | |||||||
\(954\) | 52.1350 | + | 15.1085i | 1.68793 | + | 0.489155i | ||||
\(955\) | −2.28088 | + | 0.453696i | −0.0738076 | + | 0.0146813i | ||||
\(956\) | 6.67299 | + | 2.80109i | 0.215820 | + | 0.0905937i | ||||
\(957\) | −13.9138 | − | 42.2271i | −0.449771 | − | 1.36501i | ||||
\(958\) | −4.36711 | − | 22.2295i | −0.141095 | − | 0.718203i | ||||
\(959\) | −8.72390 | − | 15.1102i | −0.281709 | − | 0.487935i | ||||
\(960\) | 43.8140 | − | 4.73975i | 1.41409 | − | 0.152975i | ||||
\(961\) | −12.0975 | + | 20.9535i | −0.390241 | + | 0.675918i | ||||
\(962\) | 65.7438 | + | 22.4905i | 2.11967 | + | 0.725124i | ||||
\(963\) | 24.4901 | + | 38.1120i | 0.789183 | + | 1.22814i | ||||
\(964\) | −43.6604 | + | 5.53807i | −1.40621 | + | 0.178369i | ||||
\(965\) | −16.5645 | + | 48.7973i | −0.533229 | + | 1.57084i | ||||
\(966\) | 11.4364 | − | 6.43136i | 0.367961 | − | 0.206926i | ||||
\(967\) | 28.3335 | − | 36.9249i | 0.911142 | − | 1.18742i | −0.0706565 | − | 0.997501i | \(-0.522509\pi\) |
0.981799 | − | 0.189923i | \(-0.0608239\pi\) | |||||||
\(968\) | 0.654048 | − | 9.00010i | 0.0210219 | − | 0.289274i | ||||
\(969\) | −10.1833 | + | 4.11166i | −0.327136 | + | 0.132085i | ||||
\(970\) | 23.3516 | − | 30.2839i | 0.749775 | − | 0.972357i | ||||
\(971\) | 16.6933 | − | 24.9833i | 0.535715 | − | 0.801754i | −0.460593 | − | 0.887612i | \(-0.652363\pi\) |
0.996307 | + | 0.0858579i | \(0.0273631\pi\) | |||||||
\(972\) | −28.6097 | + | 12.3890i | −0.917655 | + | 0.397378i | ||||
\(973\) | −8.03469 | − | 1.59820i | −0.257580 | − | 0.0512359i | ||||
\(974\) | −46.7106 | − | 23.1726i | −1.49671 | − | 0.742498i | ||||
\(975\) | 51.8875 | + | 0.464529i | 1.66173 | + | 0.0148768i | ||||
\(976\) | −5.46532 | + | 26.1794i | −0.174941 | + | 0.837983i | ||||
\(977\) | −2.31651 | + | 8.64533i | −0.0741117 | + | 0.276589i | −0.993030 | − | 0.117858i | \(-0.962397\pi\) |
0.918919 | + | 0.394447i | \(0.129064\pi\) | |||||||
\(978\) | −9.79681 | + | 19.3119i | −0.313267 | + | 0.617526i | ||||
\(979\) | 9.16010 | + | 8.03319i | 0.292758 | + | 0.256742i | ||||
\(980\) | 27.2101 | − | 9.09331i | 0.869196 | − | 0.290475i | ||||
\(981\) | −7.46305 | + | 10.7476i | −0.238277 | + | 0.343144i | ||||
\(982\) | 11.9487 | − | 9.12377i | 0.381299 | − | 0.291151i | ||||
\(983\) | −15.8657 | + | 12.1742i | −0.506037 | + | 0.388295i | −0.829991 | − | 0.557777i | \(-0.811654\pi\) |
0.323954 | + | 0.946073i | \(0.394988\pi\) | |||||||
\(984\) | 13.2680 | + | 23.8569i | 0.422969 | + | 0.760530i | ||||
\(985\) | −10.8532 | − | 8.32798i | −0.345813 | − | 0.265351i | ||||
\(986\) | 0.0706931 | − | 29.8964i | 0.00225133 | − | 0.952095i | ||||
\(987\) | −22.0888 | − | 1.64650i | −0.703095 | − | 0.0524086i | ||||
\(988\) | −0.152610 | + | 32.2695i | −0.00485517 | + | 1.02663i | ||||
\(989\) | −11.1308 | − | 16.6584i | −0.353939 | − | 0.529707i | ||||
\(990\) | −37.5701 | − | 3.22839i | −1.19405 | − | 0.102605i | ||||
\(991\) | 13.8193i | 0.438984i | 0.975614 | + | 0.219492i | \(0.0704400\pi\) | ||||
−0.975614 | + | 0.219492i | \(0.929560\pi\) | |||||||
\(992\) | −12.1720 | − | 8.34289i | −0.386461 | − | 0.264887i | ||||
\(993\) | 7.13791 | + | 27.6260i | 0.226515 | + | 0.876684i | ||||
\(994\) | −20.7096 | + | 30.8361i | −0.656870 | + | 0.978061i | ||||
\(995\) | −4.03481 | + | 8.18179i | −0.127912 | + | 0.259380i | ||||
\(996\) | 0.878356 | − | 0.491220i | 0.0278318 | − | 0.0155649i | ||||
\(997\) | −20.6017 | − | 6.99334i | −0.652463 | − | 0.221481i | −0.0244702 | − | 0.999701i | \(-0.507790\pi\) |
−0.627993 | + | 0.778219i | \(0.716123\pi\) | |||||||
\(998\) | −28.5926 | + | 49.2545i | −0.905083 | + | 1.55912i | ||||
\(999\) | 17.7573 | − | 39.8109i | 0.561815 | − | 1.25956i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 576.2.bm.a.205.26 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.89 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.89 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.26 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.89 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.89 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.26 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.26 | yes | 1504 | 576.517 | even | 48 | inner |