Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(11,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bs (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(140\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 756.11 |
Dual form | 756.2.bs.a.275.11 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37976 | − | 0.310270i | −0.975636 | − | 0.219394i | ||||
\(3\) | −0.0171663 | − | 1.73197i | −0.00991094 | − | 0.999951i | ||||
\(4\) | 1.80747 | + | 0.856194i | 0.903733 | + | 0.428097i | ||||
\(5\) | 1.75070 | − | 0.308695i | 0.782935 | − | 0.138053i | 0.232128 | − | 0.972685i | \(-0.425431\pi\) |
0.550807 | + | 0.834633i | \(0.314320\pi\) | |||||||
\(6\) | −0.513691 | + | 2.39502i | −0.209713 | + | 0.977763i | ||||
\(7\) | −2.14695 | − | 1.54616i | −0.811470 | − | 0.584394i | ||||
\(8\) | −2.22821 | − | 1.74214i | −0.787793 | − | 0.615940i | ||||
\(9\) | −2.99941 | + | 0.0594627i | −0.999804 | + | 0.0198209i | ||||
\(10\) | −2.51132 | − | 0.117263i | −0.794148 | − | 0.0370819i | ||||
\(11\) | −0.331880 | + | 1.88219i | −0.100066 | + | 0.567501i | 0.893011 | + | 0.450035i | \(0.148588\pi\) |
−0.993077 | + | 0.117466i | \(0.962523\pi\) | |||||||
\(12\) | 1.45187 | − | 3.14517i | 0.419119 | − | 0.907931i | ||||
\(13\) | −4.77544 | + | 4.00707i | −1.32447 | + | 1.11136i | −0.339133 | + | 0.940738i | \(0.610134\pi\) |
−0.985336 | + | 0.170623i | \(0.945422\pi\) | |||||||
\(14\) | 2.48254 | + | 2.79946i | 0.663487 | + | 0.748187i | ||||
\(15\) | −0.564702 | − | 3.02685i | −0.145805 | − | 0.781528i | ||||
\(16\) | 2.53386 | + | 3.09508i | 0.633466 | + | 0.773771i | ||||
\(17\) | 4.58880i | 1.11295i | 0.830865 | + | 0.556474i | \(0.187846\pi\) | ||||
−0.830865 | + | 0.556474i | \(0.812154\pi\) | |||||||
\(18\) | 4.15691 | + | 0.848582i | 0.979793 | + | 0.200013i | ||||
\(19\) | − | 2.82928i | − | 0.649081i | −0.945872 | − | 0.324541i | \(-0.894790\pi\) | ||
0.945872 | − | 0.324541i | \(-0.105210\pi\) | |||||||
\(20\) | 3.42863 | + | 0.940980i | 0.766664 | + | 0.210410i | ||||
\(21\) | −2.64104 | + | 3.74498i | −0.576323 | + | 0.817222i | ||||
\(22\) | 1.04190 | − | 2.49399i | 0.222134 | − | 0.531721i | ||||
\(23\) | −5.71414 | + | 4.79473i | −1.19148 | + | 0.999770i | −0.191647 | + | 0.981464i | \(0.561383\pi\) |
−0.999832 | + | 0.0183064i | \(0.994173\pi\) | |||||||
\(24\) | −2.97908 | + | 3.88910i | −0.608102 | + | 0.793859i | ||||
\(25\) | −1.72882 | + | 0.629239i | −0.345764 | + | 0.125848i | ||||
\(26\) | 7.83223 | − | 4.04712i | 1.53603 | − | 0.793705i | ||||
\(27\) | 0.154476 | + | 5.19386i | 0.0297289 | + | 0.999558i | ||||
\(28\) | −2.55672 | − | 4.63284i | −0.483175 | − | 0.875524i | ||||
\(29\) | −3.43681 | + | 4.09584i | −0.638200 | + | 0.760578i | −0.984085 | − | 0.177699i | \(-0.943135\pi\) |
0.345884 | + | 0.938277i | \(0.387579\pi\) | |||||||
\(30\) | −0.159986 | + | 4.35153i | −0.0292094 | + | 0.794476i | ||||
\(31\) | 2.05819 | − | 5.65483i | 0.369662 | − | 1.01564i | −0.605829 | − | 0.795595i | \(-0.707158\pi\) |
0.975490 | − | 0.220042i | \(-0.0706195\pi\) | |||||||
\(32\) | −2.53581 | − | 5.05665i | −0.448272 | − | 0.893897i | ||||
\(33\) | 3.26558 | + | 0.542495i | 0.568465 | + | 0.0944363i | ||||
\(34\) | 1.42376 | − | 6.33143i | 0.244174 | − | 1.08583i | ||||
\(35\) | −4.23595 | − | 2.04411i | −0.716006 | − | 0.345517i | ||||
\(36\) | −5.47224 | − | 2.46060i | −0.912041 | − | 0.410100i | ||||
\(37\) | 5.20179 | − | 9.00977i | 0.855170 | − | 1.48120i | −0.0213176 | − | 0.999773i | \(-0.506786\pi\) |
0.876487 | − | 0.481425i | \(-0.159881\pi\) | |||||||
\(38\) | −0.877840 | + | 3.90372i | −0.142404 | + | 0.633268i | ||||
\(39\) | 7.02209 | + | 8.20212i | 1.12443 | + | 1.31339i | ||||
\(40\) | −4.43872 | − | 2.36212i | −0.701823 | − | 0.373484i | ||||
\(41\) | −0.268344 | − | 0.319800i | −0.0419084 | − | 0.0499444i | 0.744683 | − | 0.667418i | \(-0.232601\pi\) |
−0.786591 | + | 0.617474i | \(0.788156\pi\) | |||||||
\(42\) | 4.80595 | − | 4.34774i | 0.741575 | − | 0.670870i | ||||
\(43\) | −2.64316 | − | 7.26202i | −0.403078 | − | 1.10745i | −0.960757 | − | 0.277391i | \(-0.910530\pi\) |
0.557679 | − | 0.830056i | \(-0.311692\pi\) | |||||||
\(44\) | −2.21138 | + | 3.11784i | −0.333378 | + | 0.470031i | ||||
\(45\) | −5.23270 | + | 1.03000i | −0.780045 | + | 0.153544i | ||||
\(46\) | 9.37179 | − | 4.84264i | 1.38179 | − | 0.714009i | ||||
\(47\) | −6.39232 | + | 2.32662i | −0.932416 | + | 0.339372i | −0.763167 | − | 0.646201i | \(-0.776357\pi\) |
−0.169249 | + | 0.985573i | \(0.554134\pi\) | |||||||
\(48\) | 5.31708 | − | 4.44170i | 0.767454 | − | 0.641104i | ||||
\(49\) | 2.21877 | + | 6.63905i | 0.316968 | + | 0.948436i | ||||
\(50\) | 2.58059 | − | 0.331797i | 0.364950 | − | 0.0469232i | ||||
\(51\) | 7.94764 | − | 0.0787725i | 1.11289 | − | 0.0110304i | ||||
\(52\) | −12.0623 | + | 3.15394i | −1.67274 | + | 0.437373i | ||||
\(53\) | 3.28246 | + | 1.89513i | 0.450881 | + | 0.260316i | 0.708202 | − | 0.706010i | \(-0.249507\pi\) |
−0.257321 | + | 0.966326i | \(0.582840\pi\) | |||||||
\(54\) | 1.39836 | − | 7.21419i | 0.190292 | − | 0.981728i | ||||
\(55\) | 3.39759i | 0.458131i | ||||||||
\(56\) | 2.09023 | + | 7.18547i | 0.279319 | + | 0.960199i | ||||
\(57\) | −4.90022 | + | 0.0485682i | −0.649050 | + | 0.00643301i | ||||
\(58\) | 6.01279 | − | 4.58492i | 0.789518 | − | 0.602030i | ||||
\(59\) | 7.30142 | − | 6.12662i | 0.950564 | − | 0.797618i | −0.0288284 | − | 0.999584i | \(-0.509178\pi\) |
0.979392 | + | 0.201966i | \(0.0647332\pi\) | |||||||
\(60\) | 1.57089 | − | 5.95442i | 0.202801 | − | 0.768712i | ||||
\(61\) | −8.40397 | + | 3.05879i | −1.07602 | + | 0.391638i | −0.818424 | − | 0.574615i | \(-0.805152\pi\) |
−0.257594 | + | 0.966253i | \(0.582930\pi\) | |||||||
\(62\) | −4.59433 | + | 7.16370i | −0.583480 | + | 0.909791i | ||||
\(63\) | 6.53152 | + | 4.50991i | 0.822894 | + | 0.568195i | ||||
\(64\) | 1.92988 | + | 7.76373i | 0.241235 | + | 0.970467i | ||||
\(65\) | −7.12338 | + | 8.48932i | −0.883547 | + | 1.05297i | ||||
\(66\) | −4.33739 | − | 1.76172i | −0.533896 | − | 0.216853i | ||||
\(67\) | −8.81080 | + | 1.55358i | −1.07641 | + | 0.189800i | −0.683628 | − | 0.729831i | \(-0.739599\pi\) |
−0.392783 | + | 0.919631i | \(0.628488\pi\) | |||||||
\(68\) | −3.92890 | + | 8.29410i | −0.476449 | + | 1.00581i | ||||
\(69\) | 8.40240 | + | 9.81438i | 1.01153 | + | 1.18151i | ||||
\(70\) | 5.21036 | + | 4.13466i | 0.622757 | + | 0.494186i | ||||
\(71\) | 0.0303390 | + | 0.0525488i | 0.00360058 | + | 0.00623639i | 0.867820 | − | 0.496879i | \(-0.165521\pi\) |
−0.864219 | + | 0.503115i | \(0.832187\pi\) | |||||||
\(72\) | 6.78692 | + | 5.09290i | 0.799847 | + | 0.600205i | ||||
\(73\) | 0.682595 | + | 1.18229i | 0.0798918 | + | 0.138377i | 0.903203 | − | 0.429213i | \(-0.141209\pi\) |
−0.823311 | + | 0.567590i | \(0.807876\pi\) | |||||||
\(74\) | −9.97268 | + | 10.8173i | −1.15930 | + | 1.25749i | ||||
\(75\) | 1.11950 | + | 2.98345i | 0.129268 | + | 0.344500i | ||||
\(76\) | 2.42241 | − | 5.11383i | 0.277870 | − | 0.586596i | ||||
\(77\) | 3.62270 | − | 3.52782i | 0.412844 | − | 0.402032i | ||||
\(78\) | −7.14392 | − | 13.4957i | −0.808889 | − | 1.52808i | ||||
\(79\) | −2.21231 | − | 0.390090i | −0.248904 | − | 0.0438885i | 0.0478040 | − | 0.998857i | \(-0.484778\pi\) |
−0.296708 | + | 0.954968i | \(0.595889\pi\) | |||||||
\(80\) | 5.39146 | + | 4.63636i | 0.602784 | + | 0.518361i | ||||
\(81\) | 8.99293 | − | 0.356706i | 0.999214 | − | 0.0396340i | ||||
\(82\) | 0.271026 | + | 0.524506i | 0.0299298 | + | 0.0579220i | ||||
\(83\) | 9.06102 | + | 7.60310i | 0.994576 | + | 0.834548i | 0.986224 | − | 0.165417i | \(-0.0528969\pi\) |
0.00835224 | + | 0.999965i | \(0.497341\pi\) | |||||||
\(84\) | −7.98003 | + | 4.50768i | −0.870692 | + | 0.491828i | ||||
\(85\) | 1.41654 | + | 8.03359i | 0.153645 | + | 0.871365i | ||||
\(86\) | 1.39374 | + | 10.8399i | 0.150290 | + | 1.16890i | ||||
\(87\) | 7.15285 | + | 5.88214i | 0.766866 | + | 0.630631i | ||||
\(88\) | 4.01854 | − | 3.61573i | 0.428378 | − | 0.385439i | ||||
\(89\) | 0.635194i | 0.0673305i | 0.999433 | + | 0.0336652i | \(0.0107180\pi\) | ||||
−0.999433 | + | 0.0336652i | \(0.989282\pi\) | |||||||
\(90\) | 7.53944 | + | 0.202391i | 0.794727 | + | 0.0213339i | ||||
\(91\) | 16.4482 | − | 1.21937i | 1.72424 | − | 0.127825i | ||||
\(92\) | −14.4333 | + | 3.77390i | −1.50478 | + | 0.393456i | ||||
\(93\) | −9.82930 | − | 3.46764i | −1.01925 | − | 0.359578i | ||||
\(94\) | 9.54174 | − | 1.22682i | 0.984155 | − | 0.126537i | ||||
\(95\) | −0.873385 | − | 4.95321i | −0.0896074 | − | 0.508189i | ||||
\(96\) | −8.71441 | + | 4.47874i | −0.889411 | + | 0.457109i | ||||
\(97\) | −10.8830 | + | 3.96110i | −1.10501 | + | 0.402189i | −0.829159 | − | 0.559013i | \(-0.811180\pi\) |
−0.275846 | + | 0.961202i | \(0.588958\pi\) | |||||||
\(98\) | −1.00147 | − | 9.84871i | −0.101164 | − | 0.994870i | ||||
\(99\) | 0.883526 | − | 5.66519i | 0.0887977 | − | 0.569373i | ||||
\(100\) | −3.66353 | − | 0.342877i | −0.366353 | − | 0.0342877i | ||||
\(101\) | −2.22020 | + | 2.64593i | −0.220918 | + | 0.263280i | −0.865108 | − | 0.501586i | \(-0.832750\pi\) |
0.644190 | + | 0.764866i | \(0.277195\pi\) | |||||||
\(102\) | −10.9903 | − | 2.35722i | −1.08820 | − | 0.233400i | ||||
\(103\) | 2.44383 | − | 0.430913i | 0.240797 | − | 0.0424591i | −0.0519468 | − | 0.998650i | \(-0.516543\pi\) |
0.292744 | + | 0.956191i | \(0.405432\pi\) | |||||||
\(104\) | 17.6216 | − | 0.609115i | 1.72794 | − | 0.0597286i | ||||
\(105\) | −3.46761 | + | 7.37160i | −0.338404 | + | 0.719395i | ||||
\(106\) | −3.94100 | − | 3.63327i | −0.382784 | − | 0.352894i | ||||
\(107\) | 1.49541 | + | 2.59013i | 0.144567 | + | 0.250397i | 0.929211 | − | 0.369549i | \(-0.120488\pi\) |
−0.784644 | + | 0.619946i | \(0.787154\pi\) | |||||||
\(108\) | −4.16774 | + | 9.51998i | −0.401041 | + | 0.916060i | ||||
\(109\) | 2.52659 | − | 4.37618i | 0.242003 | − | 0.419162i | −0.719282 | − | 0.694719i | \(-0.755529\pi\) |
0.961285 | + | 0.275557i | \(0.0888622\pi\) | |||||||
\(110\) | 1.05417 | − | 4.68785i | 0.100511 | − | 0.446969i | ||||
\(111\) | −15.6939 | − | 8.85467i | −1.48960 | − | 0.840448i | ||||
\(112\) | −0.654577 | − | 10.5627i | −0.0618518 | − | 0.998085i | ||||
\(113\) | 1.02628 | − | 2.81969i | 0.0965445 | − | 0.265254i | −0.882014 | − | 0.471223i | \(-0.843813\pi\) |
0.978558 | + | 0.205970i | \(0.0660348\pi\) | |||||||
\(114\) | 6.77618 | + | 1.45338i | 0.634648 | + | 0.136121i | ||||
\(115\) | −8.52361 | + | 10.1580i | −0.794830 | + | 0.947242i | ||||
\(116\) | −9.71876 | + | 4.46050i | −0.902364 | + | 0.414147i | ||||
\(117\) | 14.0852 | − | 12.3028i | 1.30218 | − | 1.13740i | ||||
\(118\) | −11.9751 | + | 6.18784i | −1.10240 | + | 0.569637i | ||||
\(119\) | 7.09502 | − | 9.85191i | 0.650400 | − | 0.903123i | ||||
\(120\) | −4.01492 | + | 7.72825i | −0.366510 | + | 0.705490i | ||||
\(121\) | 6.90413 | + | 2.51290i | 0.627648 | + | 0.228445i | ||||
\(122\) | 12.5445 | − | 1.61290i | 1.13573 | − | 0.146025i | ||||
\(123\) | −0.549277 | + | 0.470253i | −0.0495266 | + | 0.0424013i | ||||
\(124\) | 8.56174 | − | 8.45870i | 0.768867 | − | 0.759614i | ||||
\(125\) | −10.5301 | + | 6.07954i | −0.941839 | + | 0.543771i | ||||
\(126\) | −7.61263 | − | 8.24911i | −0.678187 | − | 0.734890i | ||||
\(127\) | −16.9026 | − | 9.75875i | −1.49987 | − | 0.865949i | −0.499867 | − | 0.866102i | \(-0.666618\pi\) |
−1.00000 | 0.000153077i | \(0.999951\pi\) | ||||||||
\(128\) | −0.253916 | − | 11.3109i | −0.0224432 | − | 0.999748i | ||||
\(129\) | −12.5322 | + | 4.70252i | −1.10340 | + | 0.414034i | ||||
\(130\) | 12.4625 | − | 9.50304i | 1.09304 | − | 0.833472i | ||||
\(131\) | −10.0853 | + | 8.46259i | −0.881158 | + | 0.739380i | −0.966417 | − | 0.256979i | \(-0.917273\pi\) |
0.0852586 | + | 0.996359i | \(0.472828\pi\) | |||||||
\(132\) | 5.43795 | + | 3.77651i | 0.473312 | + | 0.328703i | ||||
\(133\) | −4.37452 | + | 6.07432i | −0.379319 | + | 0.526710i | ||||
\(134\) | 12.6388 | + | 0.590156i | 1.09183 | + | 0.0509817i | ||||
\(135\) | 1.87376 | + | 9.04518i | 0.161267 | + | 0.778485i | ||||
\(136\) | 7.99434 | − | 10.2248i | 0.685509 | − | 0.876772i | ||||
\(137\) | −5.22421 | − | 14.3534i | −0.446335 | − | 1.22629i | −0.935258 | − | 0.353967i | \(-0.884832\pi\) |
0.488923 | − | 0.872327i | \(-0.337390\pi\) | |||||||
\(138\) | −8.54817 | − | 16.1485i | −0.727669 | − | 1.37465i | ||||
\(139\) | −13.1503 | + | 2.31875i | −1.11539 | + | 0.196674i | −0.700817 | − | 0.713341i | \(-0.747181\pi\) |
−0.414575 | + | 0.910015i | \(0.636070\pi\) | |||||||
\(140\) | −5.90617 | − | 7.32144i | −0.499163 | − | 0.618775i | ||||
\(141\) | 4.13935 | + | 11.0313i | 0.348596 | + | 0.929007i | ||||
\(142\) | −0.0255563 | − | 0.0819179i | −0.00214463 | − | 0.00687439i | ||||
\(143\) | −5.95719 | − | 10.3181i | −0.498165 | − | 0.862847i | ||||
\(144\) | −7.78414 | − | 9.13275i | −0.648678 | − | 0.761063i | ||||
\(145\) | −4.75245 | + | 8.23149i | −0.394670 | + | 0.683588i | ||||
\(146\) | −0.574988 | − | 1.84306i | −0.0475863 | − | 0.152533i | ||||
\(147\) | 11.4605 | − | 3.95681i | 0.945248 | − | 0.326352i | ||||
\(148\) | 17.1162 | − | 11.8311i | 1.40694 | − | 0.972511i | ||||
\(149\) | 3.06043 | − | 8.40847i | 0.250720 | − | 0.688848i | −0.748936 | − | 0.662642i | \(-0.769435\pi\) |
0.999657 | − | 0.0262063i | \(-0.00834268\pi\) | |||||||
\(150\) | −0.618960 | − | 4.46379i | −0.0505379 | − | 0.364467i | ||||
\(151\) | 19.2152 | + | 3.38815i | 1.56371 | + | 0.275724i | 0.887437 | − | 0.460930i | \(-0.152484\pi\) |
0.676270 | + | 0.736653i | \(0.263595\pi\) | |||||||
\(152\) | −4.92901 | + | 6.30424i | −0.399795 | + | 0.511342i | ||||
\(153\) | −0.272863 | − | 13.7637i | −0.0220596 | − | 1.11273i | ||||
\(154\) | −6.09302 | + | 3.74352i | −0.490989 | + | 0.301662i | ||||
\(155\) | 1.85765 | − | 10.5352i | 0.149210 | − | 0.846211i | ||||
\(156\) | 5.66958 | + | 20.8373i | 0.453930 | + | 1.66832i | ||||
\(157\) | 12.3536 | − | 10.3659i | 0.985926 | − | 0.827290i | 0.000953516 | − | 1.00000i | \(-0.499696\pi\) |
0.984973 | + | 0.172709i | \(0.0552520\pi\) | |||||||
\(158\) | 2.93142 | + | 1.22464i | 0.233211 | + | 0.0974272i | ||||
\(159\) | 3.22595 | − | 5.71764i | 0.255835 | − | 0.453439i | ||||
\(160\) | −6.00039 | − | 8.06986i | −0.474373 | − | 0.637978i | ||||
\(161\) | 19.6814 | − | 1.45906i | 1.55111 | − | 0.114990i | ||||
\(162\) | −12.5187 | − | 2.29806i | −0.983565 | − | 0.180553i | ||||
\(163\) | −6.67955 | + | 3.85644i | −0.523182 | + | 0.302060i | −0.738236 | − | 0.674543i | \(-0.764341\pi\) |
0.215053 | + | 0.976602i | \(0.431007\pi\) | |||||||
\(164\) | −0.211212 | − | 0.807783i | −0.0164929 | − | 0.0630773i | ||||
\(165\) | 5.88451 | − | 0.0583239i | 0.458108 | − | 0.00454051i | ||||
\(166\) | −10.1430 | − | 13.3018i | −0.787250 | − | 1.03242i | ||||
\(167\) | −22.0877 | − | 8.03928i | −1.70920 | − | 0.622098i | −0.712380 | − | 0.701793i | \(-0.752383\pi\) |
−0.996819 | + | 0.0796957i | \(0.974605\pi\) | |||||||
\(168\) | 12.4091 | − | 3.74355i | 0.957383 | − | 0.288821i | ||||
\(169\) | 4.49080 | − | 25.4686i | 0.345446 | − | 1.95912i | ||||
\(170\) | 0.538098 | − | 11.5239i | 0.0412702 | − | 0.883845i | ||||
\(171\) | 0.168237 | + | 8.48617i | 0.0128654 | + | 0.648954i | ||||
\(172\) | 1.44028 | − | 15.3889i | 0.109820 | − | 1.17339i | ||||
\(173\) | −8.37460 | + | 9.98046i | −0.636709 | + | 0.758801i | −0.983847 | − | 0.179014i | \(-0.942709\pi\) |
0.347137 | + | 0.937814i | \(0.387154\pi\) | |||||||
\(174\) | −8.04415 | − | 10.3352i | −0.609825 | − | 0.783512i | ||||
\(175\) | 4.68459 | + | 1.32209i | 0.354122 | + | 0.0999406i | ||||
\(176\) | −6.66647 | + | 3.74201i | −0.502504 | + | 0.282065i | ||||
\(177\) | −10.7364 | − | 12.5406i | −0.807000 | − | 0.942612i | ||||
\(178\) | 0.197082 | − | 0.876415i | 0.0147719 | − | 0.0656901i | ||||
\(179\) | 12.0485 | 0.900545 | 0.450273 | − | 0.892891i | \(-0.351327\pi\) | ||||
0.450273 | + | 0.892891i | \(0.351327\pi\) | |||||||
\(180\) | −10.3398 | − | 2.61851i | −0.770684 | − | 0.195172i | ||||
\(181\) | −1.26061 | + | 2.18344i | −0.0937004 | + | 0.162294i | −0.909065 | − | 0.416653i | \(-0.863203\pi\) |
0.815365 | + | 0.578947i | \(0.196536\pi\) | |||||||
\(182\) | −23.0729 | − | 3.42094i | −1.71028 | − | 0.253577i | ||||
\(183\) | 5.44199 | + | 14.5029i | 0.402284 | + | 1.07208i | ||||
\(184\) | 21.0854 | − | 0.728847i | 1.55444 | − | 0.0537313i | ||||
\(185\) | 6.32549 | − | 17.3791i | 0.465059 | − | 1.27774i | ||||
\(186\) | 12.4862 | + | 7.83424i | 0.915529 | + | 0.574434i | ||||
\(187\) | −8.63698 | − | 1.52293i | −0.631599 | − | 0.111368i | ||||
\(188\) | −13.5459 | − | 1.26779i | −0.987939 | − | 0.0924633i | ||||
\(189\) | 7.69888 | − | 11.3898i | 0.560011 | − | 0.828485i | ||||
\(190\) | −0.331771 | + | 7.10522i | −0.0240692 | + | 0.515467i | ||||
\(191\) | −1.49228 | + | 8.46313i | −0.107977 | + | 0.612370i | 0.882012 | + | 0.471227i | \(0.156189\pi\) |
−0.989989 | + | 0.141143i | \(0.954922\pi\) | |||||||
\(192\) | 13.4134 | − | 3.47576i | 0.968028 | − | 0.250841i | ||||
\(193\) | 0.737160 | + | 0.268304i | 0.0530619 | + | 0.0193130i | 0.368415 | − | 0.929662i | \(-0.379901\pi\) |
−0.315353 | + | 0.948974i | \(0.602123\pi\) | |||||||
\(194\) | 16.2450 | − | 2.08869i | 1.16632 | − | 0.149959i | ||||
\(195\) | 14.8255 | + | 12.1917i | 1.06168 | + | 0.873068i | ||||
\(196\) | −1.67396 | + | 13.8996i | −0.119569 | + | 0.992826i | ||||
\(197\) | −8.88369 | − | 5.12900i | −0.632936 | − | 0.365426i | 0.148952 | − | 0.988844i | \(-0.452410\pi\) |
−0.781888 | + | 0.623418i | \(0.785743\pi\) | |||||||
\(198\) | −2.97679 | + | 7.54246i | −0.211551 | + | 0.536019i | ||||
\(199\) | 6.34304i | 0.449646i | 0.974400 | + | 0.224823i | \(0.0721805\pi\) | ||||
−0.974400 | + | 0.224823i | \(0.927820\pi\) | |||||||
\(200\) | 4.94840 | + | 1.60977i | 0.349905 | + | 0.113828i | ||||
\(201\) | 2.84200 | + | 15.2333i | 0.200459 | + | 1.07448i | ||||
\(202\) | 3.88429 | − | 2.96188i | 0.273298 | − | 0.208397i | ||||
\(203\) | 13.7115 | − | 3.47968i | 0.962358 | − | 0.244226i | ||||
\(204\) | 14.4325 | + | 6.66235i | 1.01048 | + | 0.466458i | ||||
\(205\) | −0.568510 | − | 0.477037i | −0.0397065 | − | 0.0333177i | ||||
\(206\) | −3.50559 | − | 0.163690i | −0.244246 | − | 0.0114048i | ||||
\(207\) | 16.8539 | − | 14.7211i | 1.17143 | − | 1.02319i | ||||
\(208\) | −24.5025 | − | 4.62702i | −1.69895 | − | 0.320826i | ||||
\(209\) | 5.32524 | + | 0.938983i | 0.368354 | + | 0.0649508i | ||||
\(210\) | 7.07164 | − | 9.09514i | 0.487990 | − | 0.627624i | ||||
\(211\) | −4.65332 | + | 12.7849i | −0.320348 | + | 0.880149i | 0.670101 | + | 0.742270i | \(0.266251\pi\) |
−0.990449 | + | 0.137879i | \(0.955971\pi\) | |||||||
\(212\) | 4.31034 | + | 6.23581i | 0.296035 | + | 0.428277i | ||||
\(213\) | 0.0904918 | − | 0.0534482i | 0.00620040 | − | 0.00366221i | ||||
\(214\) | −1.25967 | − | 4.03773i | −0.0861091 | − | 0.276013i | ||||
\(215\) | −6.86911 | − | 11.8977i | −0.468470 | − | 0.811413i | ||||
\(216\) | 8.70423 | − | 11.8421i | 0.592248 | − | 0.805756i | ||||
\(217\) | −13.1621 | + | 8.95833i | −0.893502 | + | 0.608131i | ||||
\(218\) | −4.84387 | + | 5.25414i | −0.328069 | + | 0.355856i | ||||
\(219\) | 2.03597 | − | 1.20253i | 0.137578 | − | 0.0812593i | ||||
\(220\) | −2.90900 | + | 6.14102i | −0.196124 | + | 0.414028i | ||||
\(221\) | −18.3876 | − | 21.9135i | −1.23689 | − | 1.47406i | ||||
\(222\) | 18.9065 | + | 17.0866i | 1.26892 | + | 1.14678i | ||||
\(223\) | −4.15098 | − | 0.731930i | −0.277970 | − | 0.0490136i | 0.0329251 | − | 0.999458i | \(-0.489518\pi\) |
−0.310895 | + | 0.950444i | \(0.600629\pi\) | |||||||
\(224\) | −2.37414 | + | 14.7771i | −0.158629 | + | 0.987338i | ||||
\(225\) | 5.14802 | − | 1.99015i | 0.343201 | − | 0.132676i | ||||
\(226\) | −2.29088 | + | 3.57206i | −0.152387 | + | 0.237610i | ||||
\(227\) | −2.51647 | + | 14.2716i | −0.167024 | + | 0.947240i | 0.779929 | + | 0.625868i | \(0.215255\pi\) |
−0.946953 | + | 0.321372i | \(0.895856\pi\) | |||||||
\(228\) | −8.89856 | − | 4.10775i | −0.589321 | − | 0.272042i | ||||
\(229\) | 1.30472 | + | 0.474877i | 0.0862180 | + | 0.0313808i | 0.384769 | − | 0.923013i | \(-0.374281\pi\) |
−0.298551 | + | 0.954394i | \(0.596503\pi\) | |||||||
\(230\) | 14.9122 | − | 11.3710i | 0.983284 | − | 0.749783i | ||||
\(231\) | −6.17225 | − | 6.21382i | −0.406104 | − | 0.408840i | ||||
\(232\) | 14.7935 | − | 3.13898i | 0.971240 | − | 0.206084i | ||||
\(233\) | 9.67228 | + | 5.58429i | 0.633652 | + | 0.365839i | 0.782165 | − | 0.623071i | \(-0.214115\pi\) |
−0.148513 | + | 0.988910i | \(0.547449\pi\) | |||||||
\(234\) | −23.2514 | + | 12.6047i | −1.51999 | + | 0.823994i | ||||
\(235\) | −10.4728 | + | 6.04647i | −0.683170 | + | 0.394429i | ||||
\(236\) | 18.4426 | − | 4.82222i | 1.20051 | − | 0.313900i | ||||
\(237\) | −0.637645 | + | 3.83834i | −0.0414195 | + | 0.249327i | ||||
\(238\) | −12.8462 | + | 11.3919i | −0.832693 | + | 0.738427i | ||||
\(239\) | −1.40863 | − | 7.98874i | −0.0911168 | − | 0.516749i | −0.995868 | − | 0.0908091i | \(-0.971055\pi\) |
0.904752 | − | 0.425940i | \(-0.140056\pi\) | |||||||
\(240\) | 7.93746 | − | 9.41741i | 0.512361 | − | 0.607891i | ||||
\(241\) | 19.9257 | − | 7.25235i | 1.28353 | − | 0.467165i | 0.391929 | − | 0.919996i | \(-0.371808\pi\) |
0.891597 | + | 0.452831i | \(0.149586\pi\) | |||||||
\(242\) | −8.74636 | − | 5.60934i | −0.562237 | − | 0.360582i | ||||
\(243\) | −0.772178 | − | 15.5693i | −0.0495353 | − | 0.998772i | ||||
\(244\) | −17.8088 | − | 1.66676i | −1.14009 | − | 0.106704i | ||||
\(245\) | 5.93384 | + | 10.9380i | 0.379099 | + | 0.698806i | ||||
\(246\) | 0.903775 | − | 0.478412i | 0.0576226 | − | 0.0305024i | ||||
\(247\) | 11.3371 | + | 13.5111i | 0.721364 | + | 0.859688i | ||||
\(248\) | −14.4376 | + | 9.01451i | −0.916789 | + | 0.572422i | ||||
\(249\) | 13.0128 | − | 15.8239i | 0.824650 | − | 1.00280i | ||||
\(250\) | 16.4153 | − | 5.12114i | 1.03819 | − | 0.323889i | ||||
\(251\) | 5.07278 | − | 8.78631i | 0.320191 | − | 0.554587i | −0.660336 | − | 0.750970i | \(-0.729586\pi\) |
0.980527 | + | 0.196383i | \(0.0629196\pi\) | |||||||
\(252\) | 7.94414 | + | 13.7438i | 0.500434 | + | 0.865775i | ||||
\(253\) | −7.12817 | − | 12.3464i | −0.448144 | − | 0.776209i | ||||
\(254\) | 20.2937 | + | 18.7091i | 1.27334 | + | 1.17391i | ||||
\(255\) | 13.8896 | − | 2.59130i | 0.869800 | − | 0.162274i | ||||
\(256\) | −3.15907 | + | 15.6850i | −0.197442 | + | 0.980315i | ||||
\(257\) | 5.30581 | − | 14.5776i | 0.330967 | − | 0.909325i | −0.656894 | − | 0.753983i | \(-0.728130\pi\) |
0.987861 | − | 0.155342i | \(-0.0496478\pi\) | |||||||
\(258\) | 18.7504 | − | 2.59998i | 1.16735 | − | 0.161868i | ||||
\(259\) | −25.0985 | + | 11.3007i | −1.55955 | + | 0.702192i | ||||
\(260\) | −20.1438 | + | 9.24515i | −1.24926 | + | 0.573360i | ||||
\(261\) | 10.0649 | − | 12.4895i | 0.623000 | − | 0.773078i | ||||
\(262\) | 16.5410 | − | 8.54716i | 1.02191 | − | 0.528045i | ||||
\(263\) | −21.0959 | − | 17.7016i | −1.30083 | − | 1.09153i | −0.990001 | − | 0.141060i | \(-0.954949\pi\) |
−0.310829 | − | 0.950466i | \(-0.600607\pi\) | |||||||
\(264\) | −6.33131 | − | 6.89791i | −0.389665 | − | 0.424537i | ||||
\(265\) | 6.33161 | + | 2.30452i | 0.388948 | + | 0.141565i | ||||
\(266\) | 7.92046 | − | 7.02381i | 0.485635 | − | 0.430657i | ||||
\(267\) | 1.10013 | − | 0.0109039i | 0.0673272 | − | 0.000667309i | ||||
\(268\) | −17.2554 | − | 4.73571i | −1.05404 | − | 0.289280i | ||||
\(269\) | 1.87990 | + | 1.08536i | 0.114620 | + | 0.0661758i | 0.556214 | − | 0.831039i | \(-0.312254\pi\) |
−0.441594 | + | 0.897215i | \(0.645587\pi\) | |||||||
\(270\) | 0.221111 | − | 13.0615i | 0.0134564 | − | 0.794899i | ||||
\(271\) | −23.2028 | + | 13.3961i | −1.40947 | + | 0.813757i | −0.995337 | − | 0.0964607i | \(-0.969248\pi\) |
−0.414131 | + | 0.910217i | \(0.635914\pi\) | |||||||
\(272\) | −14.2027 | + | 11.6274i | −0.861166 | + | 0.705014i | ||||
\(273\) | −2.39427 | − | 28.4668i | −0.144908 | − | 1.72289i | ||||
\(274\) | 2.75472 | + | 21.4251i | 0.166419 | + | 1.29434i | ||||
\(275\) | −0.610584 | − | 3.46279i | −0.0368196 | − | 0.208814i | ||||
\(276\) | 6.78403 | + | 24.9332i | 0.408351 | + | 1.50080i | ||||
\(277\) | −0.956280 | − | 0.802414i | −0.0574573 | − | 0.0482124i | 0.613607 | − | 0.789612i | \(-0.289718\pi\) |
−0.671064 | + | 0.741399i | \(0.734162\pi\) | |||||||
\(278\) | 18.8636 | + | 0.880819i | 1.13137 | + | 0.0528280i | ||||
\(279\) | −5.83710 | + | 17.0835i | −0.349458 | + | 1.02276i | ||||
\(280\) | 5.87747 | + | 11.9343i | 0.351246 | + | 0.713212i | ||||
\(281\) | 8.32064 | + | 22.8608i | 0.496368 | + | 1.36376i | 0.894761 | + | 0.446545i | \(0.147346\pi\) |
−0.398393 | + | 0.917215i | \(0.630432\pi\) | |||||||
\(282\) | −2.28861 | − | 16.5049i | −0.136285 | − | 0.982853i | ||||
\(283\) | −12.6682 | + | 2.23375i | −0.753048 | + | 0.132783i | −0.536979 | − | 0.843596i | \(-0.680435\pi\) |
−0.216069 | + | 0.976378i | \(0.569323\pi\) | |||||||
\(284\) | 0.00984483 | + | 0.120956i | 0.000584183 | + | 0.00717743i | ||||
\(285\) | −8.56380 | + | 1.59770i | −0.507276 | + | 0.0946396i | ||||
\(286\) | 5.01807 | + | 16.0849i | 0.296725 | + | 0.951119i | ||||
\(287\) | 0.0816586 | + | 1.10150i | 0.00482016 | + | 0.0650194i | ||||
\(288\) | 7.90661 | + | 15.0162i | 0.465902 | + | 0.884836i | ||||
\(289\) | −4.05708 | −0.238652 | ||||||||
\(290\) | 9.11122 | − | 9.88293i | 0.535029 | − | 0.580345i | ||||
\(291\) | 7.04731 | + | 18.7811i | 0.413121 | + | 1.10096i | ||||
\(292\) | 0.221498 | + | 2.72138i | 0.0129622 | + | 0.159257i | ||||
\(293\) | −2.23995 | + | 0.394963i | −0.130859 | + | 0.0230740i | −0.238694 | − | 0.971095i | \(-0.576719\pi\) |
0.107835 | + | 0.994169i | \(0.465608\pi\) | |||||||
\(294\) | −17.0404 | + | 1.90358i | −0.993818 | + | 0.111019i | ||||
\(295\) | 10.8913 | − | 12.9798i | 0.634117 | − | 0.755711i | ||||
\(296\) | −27.2870 | + | 11.0134i | −1.58603 | + | 0.640143i | ||||
\(297\) | −9.82708 | − | 1.43299i | −0.570225 | − | 0.0831503i | ||||
\(298\) | −6.83155 | + | 10.6521i | −0.395741 | + | 0.617059i | ||||
\(299\) | 8.07470 | − | 45.7939i | 0.466972 | − | 2.64833i | ||||
\(300\) | −0.530963 | + | 6.35100i | −0.0306552 | + | 0.366675i | ||||
\(301\) | −5.55352 | + | 19.6779i | −0.320100 | + | 1.13422i | ||||
\(302\) | −25.4610 | − | 10.6367i | −1.46512 | − | 0.612074i | ||||
\(303\) | 4.62077 | + | 3.79989i | 0.265456 | + | 0.218298i | ||||
\(304\) | 8.75686 | − | 7.16901i | 0.502240 | − | 0.411171i | ||||
\(305\) | −13.7686 | + | 7.94928i | −0.788385 | + | 0.455174i | ||||
\(306\) | −3.89397 | + | 19.0752i | −0.222604 | + | 1.09046i | ||||
\(307\) | −6.62643 | + | 3.82577i | −0.378191 | + | 0.218348i | −0.677031 | − | 0.735955i | \(-0.736734\pi\) |
0.298840 | + | 0.954303i | \(0.403400\pi\) | |||||||
\(308\) | 9.56839 | − | 3.27468i | 0.545210 | − | 0.186592i | ||||
\(309\) | −0.788277 | − | 4.22523i | −0.0448435 | − | 0.240365i | ||||
\(310\) | −5.83187 | + | 13.9597i | −0.331228 | + | 0.792858i | ||||
\(311\) | −5.17726 | − | 29.3617i | −0.293576 | − | 1.66495i | −0.672936 | − | 0.739701i | \(-0.734967\pi\) |
0.379361 | − | 0.925249i | \(-0.376144\pi\) | |||||||
\(312\) | −1.35746 | − | 30.5095i | −0.0768512 | − | 1.72726i | ||||
\(313\) | −0.152233 | − | 0.127739i | −0.00860472 | − | 0.00722022i | 0.638475 | − | 0.769642i | \(-0.279566\pi\) |
−0.647080 | + | 0.762422i | \(0.724010\pi\) | |||||||
\(314\) | −20.2612 | + | 10.4695i | −1.14341 | + | 0.590829i | ||||
\(315\) | 12.8269 | + | 5.87923i | 0.722713 | + | 0.331257i | ||||
\(316\) | −3.66468 | − | 2.59924i | −0.206154 | − | 0.146219i | ||||
\(317\) | 6.37833 | + | 17.5243i | 0.358243 | + | 0.984264i | 0.979639 | + | 0.200768i | \(0.0643436\pi\) |
−0.621396 | + | 0.783497i | \(0.713434\pi\) | |||||||
\(318\) | −6.22505 | + | 6.88805i | −0.349083 | + | 0.386263i | ||||
\(319\) | −6.56852 | − | 7.82806i | −0.367767 | − | 0.438287i | ||||
\(320\) | 5.77526 | + | 12.9962i | 0.322847 | + | 0.726509i | ||||
\(321\) | 4.46034 | − | 2.63446i | 0.248952 | − | 0.147041i | ||||
\(322\) | −27.6082 | − | 4.09338i | −1.53855 | − | 0.228115i | ||||
\(323\) | 12.9830 | 0.722393 | ||||||||
\(324\) | 16.5598 | + | 7.05496i | 0.919990 | + | 0.391942i | ||||
\(325\) | 5.73447 | − | 9.93239i | 0.318091 | − | 0.550950i | ||||
\(326\) | 10.4127 | − | 3.24849i | 0.576706 | − | 0.179917i | ||||
\(327\) | −7.62276 | − | 4.30084i | −0.421540 | − | 0.237837i | ||||
\(328\) | 0.0407910 | + | 1.18008i | 0.00225231 | + | 0.0651589i | ||||
\(329\) | 17.3213 | + | 4.88844i | 0.954955 | + | 0.269508i | ||||
\(330\) | −8.13729 | − | 1.74531i | −0.447943 | − | 0.0960762i | ||||
\(331\) | −0.507240 | − | 1.39363i | −0.0278805 | − | 0.0766009i | 0.924972 | − | 0.380036i | \(-0.124089\pi\) |
−0.952852 | + | 0.303435i | \(0.901866\pi\) | |||||||
\(332\) | 9.86775 | + | 21.5003i | 0.541563 | + | 1.17998i | ||||
\(333\) | −15.0666 | + | 27.3333i | −0.825643 | + | 1.49786i | ||||
\(334\) | 27.9814 | + | 17.9454i | 1.53107 | + | 0.981929i | ||||
\(335\) | −14.9455 | + | 5.43970i | −0.816557 | + | 0.297203i | ||||
\(336\) | −18.2831 | + | 1.31503i | −0.997423 | + | 0.0717407i | ||||
\(337\) | 27.0441 | − | 22.6927i | 1.47319 | − | 1.23615i | 0.560075 | − | 0.828442i | \(-0.310772\pi\) |
0.913112 | − | 0.407709i | \(-0.133672\pi\) | |||||||
\(338\) | −14.0983 | + | 33.7471i | −0.766849 | + | 1.83560i | ||||
\(339\) | −4.90122 | − | 1.72908i | −0.266198 | − | 0.0939108i | ||||
\(340\) | −4.31797 | + | 15.7333i | −0.234175 | + | 0.853257i | ||||
\(341\) | 9.96038 | + | 5.75063i | 0.539385 | + | 0.311414i | ||||
\(342\) | 2.40088 | − | 11.7611i | 0.129824 | − | 0.635966i | ||||
\(343\) | 5.50146 | − | 17.6843i | 0.297051 | − | 0.954862i | ||||
\(344\) | −6.76195 | + | 20.7861i | −0.364580 | + | 1.12071i | ||||
\(345\) | 17.7397 | + | 14.5882i | 0.955073 | + | 0.785403i | ||||
\(346\) | 14.6516 | − | 11.1722i | 0.787673 | − | 0.600624i | ||||
\(347\) | 27.8335 | + | 10.1306i | 1.49418 | + | 0.543838i | 0.954547 | − | 0.298061i | \(-0.0963399\pi\) |
0.539635 | + | 0.841899i | \(0.318562\pi\) | |||||||
\(348\) | 7.89227 | + | 16.7560i | 0.423070 | + | 0.898215i | ||||
\(349\) | −21.9425 | − | 18.4119i | −1.17455 | − | 0.985567i | −1.00000 | 0.000918789i | \(-0.999708\pi\) | |
−0.174553 | − | 0.984648i | \(-0.555848\pi\) | |||||||
\(350\) | −6.05340 | − | 3.27765i | −0.323568 | − | 0.175198i | ||||
\(351\) | −21.5498 | − | 24.1840i | −1.15025 | − | 1.29084i | ||||
\(352\) | 10.3591 | − | 3.09467i | 0.552144 | − | 0.164946i | ||||
\(353\) | 0.842388 | + | 2.31444i | 0.0448358 | + | 0.123185i | 0.960090 | − | 0.279692i | \(-0.0902323\pi\) |
−0.915254 | + | 0.402877i | \(0.868010\pi\) | |||||||
\(354\) | 10.9227 | + | 20.6342i | 0.580535 | + | 1.09670i | ||||
\(355\) | 0.0693360 | + | 0.0826314i | 0.00367997 | + | 0.00438562i | ||||
\(356\) | −0.543850 | + | 1.14809i | −0.0288240 | + | 0.0608488i | ||||
\(357\) | −17.1850 | − | 12.1192i | −0.909525 | − | 0.641417i | ||||
\(358\) | −16.6240 | − | 3.73828i | −0.878605 | − | 0.197574i | ||||
\(359\) | −1.69668 | −0.0895472 | −0.0447736 | − | 0.998997i | \(-0.514257\pi\) | ||||
−0.0447736 | + | 0.998997i | \(0.514257\pi\) | |||||||
\(360\) | 13.4540 | + | 6.82104i | 0.709088 | + | 0.359500i | ||||
\(361\) | 10.9952 | 0.578693 | ||||||||
\(362\) | 2.41679 | − | 2.62149i | 0.127024 | − | 0.137783i | ||||
\(363\) | 4.23374 | − | 12.0009i | 0.222214 | − | 0.629882i | ||||
\(364\) | 30.7736 | + | 11.8789i | 1.61297 | + | 0.622622i | ||||
\(365\) | 1.55998 | + | 1.85912i | 0.0816533 | + | 0.0973106i | ||||
\(366\) | −3.00883 | − | 21.6989i | −0.157274 | − | 1.13422i | ||||
\(367\) | −11.1079 | − | 1.95862i | −0.579828 | − | 0.102239i | −0.123961 | − | 0.992287i | \(-0.539560\pi\) |
−0.455867 | + | 0.890048i | \(0.650671\pi\) | |||||||
\(368\) | −29.3189 | − | 5.53653i | −1.52835 | − | 0.288612i | ||||
\(369\) | 0.823891 | + | 0.943256i | 0.0428901 | + | 0.0491040i | ||||
\(370\) | −14.1199 | + | 22.0164i | −0.734057 | + | 1.14458i | ||||
\(371\) | −4.11710 | − | 9.14396i | −0.213749 | − | 0.474731i | ||||
\(372\) | −14.7972 | − | 14.6834i | −0.767196 | − | 0.761300i | ||||
\(373\) | 4.33892 | + | 24.6072i | 0.224661 | + | 1.27411i | 0.863333 | + | 0.504635i | \(0.168373\pi\) |
−0.638672 | + | 0.769479i | \(0.720516\pi\) | |||||||
\(374\) | 11.4444 | + | 4.78107i | 0.591777 | + | 0.247223i | ||||
\(375\) | 10.7103 | + | 18.1334i | 0.553079 | + | 0.936403i | ||||
\(376\) | 18.2968 | + | 5.95214i | 0.943584 | + | 0.306958i | ||||
\(377\) | − | 33.3310i | − | 1.71663i | ||||||
\(378\) | −14.1565 | + | 13.3264i | −0.728132 | + | 0.685437i | ||||
\(379\) | 4.03801i | 0.207419i | 0.994608 | + | 0.103709i | \(0.0330712\pi\) | ||||
−0.994608 | + | 0.103709i | \(0.966929\pi\) | |||||||
\(380\) | 2.66230 | − | 9.70054i | 0.136573 | − | 0.497627i | ||||
\(381\) | −16.6117 | + | 29.4423i | −0.851041 | + | 1.50838i | ||||
\(382\) | 4.68483 | − | 11.2141i | 0.239697 | − | 0.573761i | ||||
\(383\) | 5.03279 | + | 28.5424i | 0.257164 | + | 1.45845i | 0.790457 | + | 0.612517i | \(0.209843\pi\) |
−0.533294 | + | 0.845930i | \(0.679046\pi\) | |||||||
\(384\) | −19.5857 | + | 0.633939i | −0.999477 | + | 0.0323506i | ||||
\(385\) | 5.25322 | − | 7.29445i | 0.267729 | − | 0.371759i | ||||
\(386\) | −0.933855 | − | 0.598913i | −0.0475320 | − | 0.0304839i | ||||
\(387\) | 8.35974 | + | 21.6246i | 0.424949 | + | 1.09924i | ||||
\(388\) | −23.0622 | − | 2.15844i | −1.17081 | − | 0.109578i | ||||
\(389\) | −17.7577 | − | 3.13116i | −0.900351 | − | 0.158756i | −0.295732 | − | 0.955271i | \(-0.595563\pi\) |
−0.604619 | + | 0.796515i | \(0.706675\pi\) | |||||||
\(390\) | −16.6729 | − | 21.4215i | −0.844264 | − | 1.08472i | ||||
\(391\) | −22.0021 | − | 26.2210i | −1.11269 | − | 1.32605i | ||||
\(392\) | 6.62228 | − | 18.6587i | 0.334476 | − | 0.942404i | ||||
\(393\) | 14.8300 | + | 17.3222i | 0.748076 | + | 0.873787i | ||||
\(394\) | 10.6660 | + | 9.83311i | 0.537344 | + | 0.495385i | ||||
\(395\) | −3.99350 | −0.200935 | ||||||||
\(396\) | 6.44744 | − | 9.48316i | 0.323996 | − | 0.476547i | ||||
\(397\) | 24.1443 | 1.21177 | 0.605884 | − | 0.795553i | \(-0.292819\pi\) | ||||
0.605884 | + | 0.795553i | \(0.292819\pi\) | |||||||
\(398\) | 1.96805 | − | 8.75187i | 0.0986496 | − | 0.438691i | ||||
\(399\) | 10.5956 | + | 7.47225i | 0.530444 | + | 0.374080i | ||||
\(400\) | −6.32814 | − | 3.75643i | −0.316407 | − | 0.187822i | ||||
\(401\) | −2.44243 | − | 2.91078i | −0.121969 | − | 0.145357i | 0.701604 | − | 0.712567i | \(-0.252467\pi\) |
−0.823574 | + | 0.567210i | \(0.808023\pi\) | |||||||
\(402\) | 0.805170 | − | 21.9001i | 0.0401582 | − | 1.09228i | ||||
\(403\) | 12.8305 | + | 35.2516i | 0.639135 | + | 1.75601i | ||||
\(404\) | −6.27836 | + | 2.88150i | −0.312360 | + | 0.143360i | ||||
\(405\) | 15.6338 | − | 3.40056i | 0.776848 | − | 0.168975i | ||||
\(406\) | −19.9982 | + | 0.546859i | −0.992493 | + | 0.0271402i | ||||
\(407\) | 15.2317 | + | 12.7809i | 0.755008 | + | 0.633527i | ||||
\(408\) | −17.8463 | − | 13.6704i | −0.883523 | − | 0.676786i | ||||
\(409\) | −10.6987 | − | 3.89400i | −0.529015 | − | 0.192546i | 0.0636833 | − | 0.997970i | \(-0.479715\pi\) |
−0.592699 | + | 0.805424i | \(0.701937\pi\) | |||||||
\(410\) | 0.636397 | + | 0.834587i | 0.0314294 | + | 0.0412173i | ||||
\(411\) | −24.7699 | + | 9.29455i | −1.22181 | + | 0.458466i | ||||
\(412\) | 4.78608 | + | 1.31353i | 0.235793 | + | 0.0647130i | ||||
\(413\) | −25.1485 | + | 1.86436i | −1.23748 | + | 0.0917393i | ||||
\(414\) | −27.8219 | + | 15.0824i | −1.36737 | + | 0.741257i | ||||
\(415\) | 18.2101 | + | 10.5136i | 0.893900 | + | 0.516093i | ||||
\(416\) | 32.3720 | + | 13.9866i | 1.58717 | + | 0.685747i | ||||
\(417\) | 4.24174 | + | 22.7360i | 0.207719 | + | 1.11339i | ||||
\(418\) | −7.05620 | − | 2.94783i | −0.345130 | − | 0.144183i | ||||
\(419\) | −4.74969 | + | 3.98546i | −0.232038 | + | 0.194703i | −0.751392 | − | 0.659856i | \(-0.770617\pi\) |
0.519354 | + | 0.854559i | \(0.326173\pi\) | |||||||
\(420\) | −12.5791 | + | 10.3550i | −0.613797 | + | 0.505271i | ||||
\(421\) | −36.3137 | + | 13.2171i | −1.76982 | + | 0.644162i | −0.769839 | + | 0.638238i | \(0.779663\pi\) |
−0.999982 | + | 0.00592405i | \(0.998114\pi\) | |||||||
\(422\) | 10.3872 | − | 16.1963i | 0.505642 | − | 0.788423i | ||||
\(423\) | 19.0349 | − | 7.35858i | 0.925506 | − | 0.357786i | ||||
\(424\) | −4.01244 | − | 9.94127i | −0.194861 | − | 0.482791i | ||||
\(425\) | −2.88745 | − | 7.93320i | −0.140062 | − | 0.384817i | ||||
\(426\) | −0.141440 | + | 0.0456688i | −0.00685280 | + | 0.00221266i | ||||
\(427\) | 22.7723 | + | 6.42681i | 1.10203 | + | 0.311015i | ||||
\(428\) | 0.485251 | + | 5.96193i | 0.0234555 | + | 0.288181i | ||||
\(429\) | −17.7684 | + | 10.4948i | −0.857867 | + | 0.506692i | ||||
\(430\) | 5.78624 | + | 18.5472i | 0.279037 | + | 0.894424i | ||||
\(431\) | −10.6425 | + | 18.4333i | −0.512629 | + | 0.887899i | 0.487264 | + | 0.873255i | \(0.337995\pi\) |
−0.999893 | + | 0.0146446i | \(0.995338\pi\) | |||||||
\(432\) | −15.6840 | + | 13.6386i | −0.754596 | + | 0.656189i | ||||
\(433\) | −13.5643 | −0.651857 | −0.325929 | − | 0.945394i | \(-0.605677\pi\) | ||||
−0.325929 | + | 0.945394i | \(0.605677\pi\) | |||||||
\(434\) | 20.9400 | − | 8.27653i | 1.00515 | − | 0.397286i | ||||
\(435\) | 14.3382 | + | 8.08978i | 0.687466 | + | 0.387875i | ||||
\(436\) | 8.31358 | − | 5.74654i | 0.398148 | − | 0.275209i | ||||
\(437\) | 13.5656 | + | 16.1669i | 0.648932 | + | 0.773367i | ||||
\(438\) | −3.18225 | + | 1.02750i | −0.152054 | + | 0.0490958i | ||||
\(439\) | −1.17763 | − | 3.23552i | −0.0562054 | − | 0.154423i | 0.908412 | − | 0.418075i | \(-0.137295\pi\) |
−0.964618 | + | 0.263652i | \(0.915073\pi\) | |||||||
\(440\) | 5.91908 | − | 7.57056i | 0.282181 | − | 0.360912i | ||||
\(441\) | −7.04979 | − | 19.7813i | −0.335704 | − | 0.941967i | ||||
\(442\) | 18.5714 | + | 35.9405i | 0.883351 | + | 1.70952i | ||||
\(443\) | −0.767417 | − | 0.643940i | −0.0364611 | − | 0.0305945i | 0.624375 | − | 0.781125i | \(-0.285354\pi\) |
−0.660836 | + | 0.750530i | \(0.729798\pi\) | |||||||
\(444\) | −20.7849 | − | 29.4415i | −0.986407 | − | 1.39723i | ||||
\(445\) | 0.196081 | + | 1.11203i | 0.00929515 | + | 0.0527154i | ||||
\(446\) | 5.50025 | + | 2.29781i | 0.260445 | + | 0.108804i | ||||
\(447\) | −14.6157 | − | 5.15622i | −0.691299 | − | 0.243881i | ||||
\(448\) | 7.86063 | − | 19.6522i | 0.371380 | − | 0.928481i | ||||
\(449\) | 29.9811 | − | 17.3096i | 1.41490 | − | 0.816890i | 0.419051 | − | 0.907963i | \(-0.362363\pi\) |
0.995844 | + | 0.0910723i | \(0.0290294\pi\) | |||||||
\(450\) | −7.72051 | + | 1.14864i | −0.363948 | + | 0.0541476i | ||||
\(451\) | 0.690983 | − | 0.398939i | 0.0325371 | − | 0.0187853i | ||||
\(452\) | 4.26917 | − | 4.21779i | 0.200805 | − | 0.198388i | ||||
\(453\) | 5.53831 | − | 33.3382i | 0.260212 | − | 1.56636i | ||||
\(454\) | 7.90017 | − | 18.9106i | 0.370773 | − | 0.887518i | ||||
\(455\) | 28.4194 | − | 7.21223i | 1.33232 | − | 0.338115i | ||||
\(456\) | 11.0033 | + | 8.42866i | 0.515279 | + | 0.394708i | ||||
\(457\) | 5.48151 | − | 31.0872i | 0.256414 | − | 1.45420i | −0.536002 | − | 0.844217i | \(-0.680066\pi\) |
0.792416 | − | 0.609981i | \(-0.208823\pi\) | |||||||
\(458\) | −1.65285 | − | 1.06003i | −0.0772327 | − | 0.0495319i | ||||
\(459\) | −23.8336 | + | 0.708860i | −1.11246 | + | 0.0330867i | ||||
\(460\) | −24.1034 | + | 11.0624i | −1.12383 | + | 0.515789i | ||||
\(461\) | −15.5176 | + | 18.4931i | −0.722726 | + | 0.861311i | −0.994893 | − | 0.100939i | \(-0.967815\pi\) |
0.272167 | + | 0.962250i | \(0.412260\pi\) | |||||||
\(462\) | 6.58825 | + | 10.4886i | 0.306513 | + | 0.487976i | ||||
\(463\) | 33.7574 | − | 5.95233i | 1.56884 | − | 0.276628i | 0.679429 | − | 0.733741i | \(-0.262228\pi\) |
0.889409 | + | 0.457113i | \(0.151117\pi\) | |||||||
\(464\) | −21.3854 | − | 0.258936i | −0.992791 | − | 0.0120208i | ||||
\(465\) | −18.2786 | − | 3.03653i | −0.847648 | − | 0.140816i | ||||
\(466\) | −11.6128 | − | 10.7060i | −0.537951 | − | 0.495945i | ||||
\(467\) | −17.9747 | −0.831772 | −0.415886 | − | 0.909417i | \(-0.636528\pi\) | ||||
−0.415886 | + | 0.909417i | \(0.636528\pi\) | |||||||
\(468\) | 35.9922 | − | 10.1772i | 1.66374 | − | 0.470442i | ||||
\(469\) | 21.3184 | + | 10.2875i | 0.984393 | + | 0.475031i | ||||
\(470\) | 16.3260 | − | 5.09328i | 0.753061 | − | 0.234936i | ||||
\(471\) | −18.1655 | − | 21.2181i | −0.837021 | − | 0.977679i | ||||
\(472\) | −26.9426 | + | 0.931307i | −1.24013 | + | 0.0428669i | ||||
\(473\) | 14.5457 | − | 2.56480i | 0.668812 | − | 0.117930i | ||||
\(474\) | 2.07072 | − | 5.09814i | 0.0951111 | − | 0.234165i | ||||
\(475\) | 1.78029 | + | 4.89131i | 0.0816854 | + | 0.224429i | ||||
\(476\) | 21.2592 | − | 11.7323i | 0.974412 | − | 0.537748i | ||||
\(477\) | −9.95814 | − | 5.48909i | −0.455952 | − | 0.251328i | ||||
\(478\) | −0.535094 | + | 11.4596i | −0.0244746 | + | 0.524149i | ||||
\(479\) | 14.1111 | + | 11.8406i | 0.644754 | + | 0.541013i | 0.905474 | − | 0.424402i | \(-0.139515\pi\) |
−0.260720 | + | 0.965414i | \(0.583960\pi\) | |||||||
\(480\) | −13.8737 | + | 10.5310i | −0.633246 | + | 0.480672i | ||||
\(481\) | 11.2619 | + | 63.8696i | 0.513500 | + | 2.91220i | ||||
\(482\) | −29.7428 | + | 3.82416i | −1.35475 | + | 0.174186i | ||||
\(483\) | −2.86490 | − | 34.0624i | −0.130357 | − | 1.54989i | ||||
\(484\) | 10.3275 | + | 10.4533i | 0.469430 | + | 0.475148i | ||||
\(485\) | −17.8301 | + | 10.2942i | −0.809624 | + | 0.467437i | ||||
\(486\) | −3.76527 | + | 21.7215i | −0.170796 | + | 0.985306i | ||||
\(487\) | −2.67745 | − | 1.54582i | −0.121327 | − | 0.0700480i | 0.438108 | − | 0.898922i | \(-0.355649\pi\) |
−0.559435 | + | 0.828874i | \(0.688982\pi\) | |||||||
\(488\) | 24.0547 | + | 7.82526i | 1.08890 | + | 0.354233i | ||||
\(489\) | 6.79388 | + | 11.5025i | 0.307230 | + | 0.520163i | ||||
\(490\) | −4.79352 | − | 16.9329i | −0.216549 | − | 0.764952i | ||||
\(491\) | −5.43380 | − | 1.97774i | −0.245224 | − | 0.0892543i | 0.216484 | − | 0.976286i | \(-0.430541\pi\) |
−0.461708 | + | 0.887032i | \(0.652763\pi\) | |||||||
\(492\) | −1.39543 | + | 0.379679i | −0.0629107 | + | 0.0171172i | ||||
\(493\) | −18.7950 | − | 15.7709i | −0.846483 | − | 0.710283i | ||||
\(494\) | −11.4504 | − | 22.1596i | −0.515179 | − | 0.997006i | ||||
\(495\) | −0.202030 | − | 10.1908i | −0.00908057 | − | 0.458041i | ||||
\(496\) | 22.7173 | − | 7.95830i | 1.02004 | − | 0.357338i | ||||
\(497\) | 0.0161125 | − | 0.159728i | 0.000722744 | − | 0.00716480i | ||||
\(498\) | −22.8641 | + | 17.7957i | −1.02457 | + | 0.797443i | ||||
\(499\) | −2.55622 | + | 7.02315i | −0.114432 | + | 0.314400i | −0.983666 | − | 0.180001i | \(-0.942390\pi\) |
0.869234 | + | 0.494400i | \(0.164612\pi\) | |||||||
\(500\) | −24.2380 | + | 1.97277i | −1.08396 | + | 0.0882251i | ||||
\(501\) | −13.5446 | + | 38.3932i | −0.605127 | + | 1.71528i | ||||
\(502\) | −9.72534 | + | 10.5491i | −0.434063 | + | 0.470828i | ||||
\(503\) | 13.4980 | + | 23.3792i | 0.601847 | + | 1.04243i | 0.992541 | + | 0.121908i | \(0.0389014\pi\) |
−0.390695 | + | 0.920520i | \(0.627765\pi\) | |||||||
\(504\) | −6.69672 | − | 21.4279i | −0.298296 | − | 0.954474i | ||||
\(505\) | −3.07011 | + | 5.31758i | −0.136618 | + | 0.236629i | ||||
\(506\) | 6.00445 | + | 19.2466i | 0.266931 | + | 0.855617i | ||||
\(507\) | −44.1878 | − | 7.34071i | −1.96245 | − | 0.326012i | ||||
\(508\) | −22.1956 | − | 32.1105i | −0.984769 | − | 1.42468i | ||||
\(509\) | −14.8349 | − | 17.6796i | −0.657546 | − | 0.783633i | 0.329485 | − | 0.944161i | \(-0.393125\pi\) |
−0.987031 | + | 0.160527i | \(0.948680\pi\) | |||||||
\(510\) | −19.9683 | − | 0.734145i | −0.884210 | − | 0.0325085i | ||||
\(511\) | 0.362514 | − | 3.59372i | 0.0160367 | − | 0.158977i | ||||
\(512\) | 9.22535 | − | 20.6614i | 0.407707 | − | 0.913113i | ||||
\(513\) | 14.6949 | − | 0.437056i | 0.648795 | − | 0.0192965i | ||||
\(514\) | −11.8437 | + | 18.4673i | −0.522404 | + | 0.814558i | ||||
\(515\) | 4.14538 | − | 1.50879i | 0.182667 | − | 0.0664854i | ||||
\(516\) | −26.6778 | − | 2.23034i | −1.17442 | − | 0.0981854i | ||||
\(517\) | −2.25764 | − | 12.8037i | −0.0992909 | − | 0.563107i | ||||
\(518\) | 38.1362 | − | 7.80492i | 1.67561 | − | 0.342929i | ||||
\(519\) | 17.4296 | + | 14.3332i | 0.765074 | + | 0.629158i | ||||
\(520\) | 30.6620 | − | 6.50607i | 1.34462 | − | 0.285310i | ||||
\(521\) | 1.50064 | − | 0.866395i | 0.0657442 | − | 0.0379574i | −0.466768 | − | 0.884380i | \(-0.654582\pi\) |
0.532512 | + | 0.846423i | \(0.321248\pi\) | |||||||
\(522\) | −17.7622 | + | 14.1096i | −0.777430 | + | 0.617561i | ||||
\(523\) | 9.09857 | + | 5.25306i | 0.397853 | + | 0.229700i | 0.685557 | − | 0.728019i | \(-0.259559\pi\) |
−0.287704 | + | 0.957719i | \(0.592892\pi\) | |||||||
\(524\) | −25.4745 | + | 6.66084i | −1.11286 | + | 0.290980i | ||||
\(525\) | 2.20940 | − | 8.13624i | 0.0964260 | − | 0.355095i | ||||
\(526\) | 23.6150 | + | 30.9693i | 1.02966 | + | 1.35033i | ||||
\(527\) | 25.9489 | + | 9.44462i | 1.13035 | + | 0.411414i | ||||
\(528\) | 6.59547 | + | 11.4819i | 0.287031 | + | 0.499684i | ||||
\(529\) | 5.66801 | − | 32.1449i | 0.246435 | − | 1.39760i | ||||
\(530\) | −8.02107 | − | 5.14418i | −0.348413 | − | 0.223449i | ||||
\(531\) | −21.5357 | + | 18.8104i | −0.934568 | + | 0.816302i | ||||
\(532\) | −13.1076 | + | 7.23368i | −0.568286 | + | 0.313620i | ||||
\(533\) | 2.56293 | + | 0.451913i | 0.111013 | + | 0.0195745i | ||||
\(534\) | −1.52130 | − | 0.326294i | −0.0658332 | − | 0.0141201i | ||||
\(535\) | 3.41757 | + | 4.07290i | 0.147754 | + | 0.176087i | ||||
\(536\) | 22.3389 | + | 11.8880i | 0.964894 | + | 0.513482i | ||||
\(537\) | −0.206827 | − | 20.8675i | −0.00892526 | − | 0.900501i | ||||
\(538\) | −2.25706 | − | 2.08082i | −0.0973087 | − | 0.0897104i | ||||
\(539\) | −13.2323 | + | 1.97277i | −0.569956 | + | 0.0849734i | ||||
\(540\) | −4.35767 | + | 17.9531i | −0.187524 | + | 0.772580i | ||||
\(541\) | 6.25975 | + | 10.8422i | 0.269128 | + | 0.466143i | 0.968637 | − | 0.248481i | \(-0.0799313\pi\) |
−0.699509 | + | 0.714624i | \(0.746598\pi\) | |||||||
\(542\) | 36.1706 | − | 11.2843i | 1.55366 | − | 0.484702i | ||||
\(543\) | 3.80328 | + | 2.14585i | 0.163215 | + | 0.0920873i | ||||
\(544\) | 23.2039 | − | 11.6363i | 0.994861 | − | 0.498903i | ||||
\(545\) | 3.07238 | − | 8.44130i | 0.131606 | − | 0.361586i | ||||
\(546\) | −5.52887 | + | 40.0202i | −0.236614 | + | 1.71270i | ||||
\(547\) | 42.8594 | + | 7.55727i | 1.83254 | + | 0.323125i | 0.979917 | − | 0.199408i | \(-0.0639020\pi\) |
0.852619 | + | 0.522534i | \(0.175013\pi\) | |||||||
\(548\) | 2.84672 | − | 30.4162i | 0.121606 | − | 1.29932i | ||||
\(549\) | 25.0251 | − | 9.67430i | 1.06804 | − | 0.412889i | ||||
\(550\) | −0.231941 | + | 4.96726i | −0.00989002 | + | 0.211805i | ||||
\(551\) | 11.5883 | + | 9.72371i | 0.493677 | + | 0.414244i | ||||
\(552\) | −1.62430 | − | 36.5067i | −0.0691346 | − | 1.55383i | ||||
\(553\) | 4.14657 | + | 4.25809i | 0.176330 | + | 0.181072i | ||||
\(554\) | 1.07047 | + | 1.40384i | 0.0454799 | + | 0.0596436i | ||||
\(555\) | −30.2087 | − | 10.6572i | −1.28229 | − | 0.452373i | ||||
\(556\) | −25.7540 | − | 7.06813i | −1.09221 | − | 0.299756i | ||||
\(557\) | − | 0.228924i | − | 0.00969980i | −0.999988 | − | 0.00484990i | \(-0.998456\pi\) | ||
0.999988 | − | 0.00484990i | \(-0.00154378\pi\) | |||||||
\(558\) | 13.3543 | − | 21.7601i | 0.565332 | − | 0.921178i | ||||
\(559\) | 41.7217 | + | 24.0880i | 1.76464 | + | 1.01881i | ||||
\(560\) | −4.40663 | − | 18.2901i | −0.186214 | − | 0.772897i | ||||
\(561\) | −2.48940 | + | 14.9851i | −0.105103 | + | 0.632671i | ||||
\(562\) | −4.38747 | − | 34.1240i | −0.185074 | − | 1.43943i | ||||
\(563\) | −28.8678 | − | 10.5070i | −1.21663 | − | 0.442817i | −0.347632 | − | 0.937631i | \(-0.613014\pi\) |
−0.868999 | + | 0.494814i | \(0.835236\pi\) | |||||||
\(564\) | −1.96324 | + | 23.4829i | −0.0826673 | + | 0.988807i | ||||
\(565\) | 0.926285 | − | 5.25322i | 0.0389691 | − | 0.221005i | ||||
\(566\) | 18.1721 | + | 0.848530i | 0.763832 | + | 0.0356664i | ||||
\(567\) | −19.8589 | − | 13.1387i | −0.833994 | − | 0.551773i | ||||
\(568\) | 0.0239455 | − | 0.169945i | 0.00100473 | − | 0.00713073i | ||||
\(569\) | −33.0907 | − | 5.83478i | −1.38723 | − | 0.244607i | −0.570347 | − | 0.821404i | \(-0.693191\pi\) |
−0.816887 | + | 0.576797i | \(0.804302\pi\) | |||||||
\(570\) | 12.3117 | + | 0.452646i | 0.515680 | + | 0.0189593i | ||||
\(571\) | 4.26092 | − | 11.7068i | 0.178314 | − | 0.489914i | −0.818047 | − | 0.575152i | \(-0.804943\pi\) |
0.996361 | + | 0.0852383i | \(0.0271651\pi\) | |||||||
\(572\) | −1.93307 | − | 23.7502i | −0.0808257 | − | 0.993046i | ||||
\(573\) | 14.6835 | + | 2.43929i | 0.613410 | + | 0.101903i | ||||
\(574\) | 0.229092 | − | 1.54514i | 0.00956213 | − | 0.0644928i | ||||
\(575\) | 6.86168 | − | 11.8848i | 0.286152 | − | 0.495629i | ||||
\(576\) | −6.25015 | − | 23.1719i | −0.260423 | − | 0.965495i | ||||
\(577\) | 22.1240 | 0.921034 | 0.460517 | − | 0.887651i | \(-0.347664\pi\) | ||||
0.460517 | + | 0.887651i | \(0.347664\pi\) | |||||||
\(578\) | 5.59779 | + | 1.25879i | 0.232837 | + | 0.0523587i | ||||
\(579\) | 0.452039 | − | 1.28134i | 0.0187861 | − | 0.0532507i | ||||
\(580\) | −15.6377 | + | 10.8091i | −0.649318 | + | 0.448824i | ||||
\(581\) | −7.69792 | − | 30.3332i | −0.319364 | − | 1.25844i | ||||
\(582\) | −3.89640 | − | 28.0999i | −0.161511 | − | 1.16478i | ||||
\(583\) | −4.65638 | + | 5.54925i | −0.192847 | + | 0.229827i | ||||
\(584\) | 0.538749 | − | 3.82357i | 0.0222936 | − | 0.158221i | ||||
\(585\) | 20.8612 | − | 25.8865i | 0.862503 | − | 1.07028i | ||||
\(586\) | 3.21313 | + | 0.150034i | 0.132733 | + | 0.00619784i | ||||
\(587\) | −1.13488 | + | 6.43621i | −0.0468414 | + | 0.265651i | −0.999230 | − | 0.0392361i | \(-0.987508\pi\) |
0.952389 | + | 0.304887i | \(0.0986187\pi\) | |||||||
\(588\) | 24.1023 | + | 2.66065i | 0.993962 | + | 0.109723i | ||||
\(589\) | −15.9991 | − | 5.82320i | −0.659231 | − | 0.239941i | ||||
\(590\) | −19.0546 | + | 14.5297i | −0.784466 | + | 0.598178i | ||||
\(591\) | −8.73075 | + | 15.4743i | −0.359135 | + | 0.636527i | ||||
\(592\) | 41.0666 | − | 6.72955i | 1.68783 | − | 0.276583i | ||||
\(593\) | 14.7519 | − | 8.51700i | 0.605787 | − | 0.349751i | −0.165528 | − | 0.986205i | \(-0.552933\pi\) |
0.771315 | + | 0.636454i | \(0.219599\pi\) | |||||||
\(594\) | 13.1144 | + | 5.02622i | 0.538090 | + | 0.206228i | ||||
\(595\) | 9.37999 | − | 19.4379i | 0.384542 | − | 0.796876i | ||||
\(596\) | 12.7309 | − | 12.5777i | 0.521478 | − | 0.515202i | ||||
\(597\) | 10.9859 | − | 0.108886i | 0.449624 | − | 0.00445642i | ||||
\(598\) | −25.3496 | + | 60.6792i | −1.03662 | + | 2.48136i | ||||
\(599\) | 18.6003 | − | 15.6075i | 0.759987 | − | 0.637705i | −0.178136 | − | 0.984006i | \(-0.557007\pi\) |
0.938124 | + | 0.346301i | \(0.112562\pi\) | |||||||
\(600\) | 2.70312 | − | 8.59810i | 0.110354 | − | 0.351016i | ||||
\(601\) | −2.58652 | + | 14.6689i | −0.105506 | + | 0.598356i | 0.885511 | + | 0.464619i | \(0.153809\pi\) |
−0.991017 | + | 0.133737i | \(0.957302\pi\) | |||||||
\(602\) | 13.7680 | − | 25.4277i | 0.561141 | − | 1.03636i | ||||
\(603\) | 26.3348 | − | 5.18375i | 1.07244 | − | 0.211098i | ||||
\(604\) | 31.8298 | + | 22.5759i | 1.29514 | + | 0.918599i | ||||
\(605\) | 12.8628 | + | 2.26805i | 0.522945 | + | 0.0922094i | ||||
\(606\) | −5.19656 | − | 6.67661i | −0.211096 | − | 0.271219i | ||||
\(607\) | 7.34963 | − | 20.1929i | 0.298312 | − | 0.819606i | −0.696470 | − | 0.717586i | \(-0.745247\pi\) |
0.994782 | − | 0.102020i | \(-0.0325307\pi\) | |||||||
\(608\) | −14.3067 | + | 7.17451i | −0.580212 | + | 0.290965i | ||||
\(609\) | −6.26206 | − | 23.6881i | −0.253752 | − | 0.959890i | ||||
\(610\) | 21.4637 | − | 6.69612i | 0.869040 | − | 0.271118i | ||||
\(611\) | 21.2033 | − | 36.7251i | 0.857792 | − | 1.48574i | ||||
\(612\) | 11.2912 | − | 25.1110i | 0.456420 | − | 1.01505i | ||||
\(613\) | 18.7681 | + | 32.5073i | 0.758037 | + | 1.31296i | 0.943850 | + | 0.330374i | \(0.107175\pi\) |
−0.185813 | + | 0.982585i | \(0.559492\pi\) | |||||||
\(614\) | 10.3299 | − | 3.22266i | 0.416881 | − | 0.130056i | ||||
\(615\) | −0.816452 | + | 0.992829i | −0.0329225 | + | 0.0400347i | ||||
\(616\) | −14.2181 | + | 1.54949i | −0.572864 | + | 0.0624306i | ||||
\(617\) | 19.7855 | − | 3.48871i | 0.796533 | − | 0.140450i | 0.239452 | − | 0.970908i | \(-0.423032\pi\) |
0.557081 | + | 0.830458i | \(0.311921\pi\) | |||||||
\(618\) | −0.223328 | + | 6.07437i | −0.00898355 | + | 0.244347i | ||||
\(619\) | −2.27278 | − | 6.24441i | −0.0913507 | − | 0.250984i | 0.885600 | − | 0.464449i | \(-0.153747\pi\) |
−0.976951 | + | 0.213465i | \(0.931525\pi\) | |||||||
\(620\) | 12.3778 | − | 17.4516i | 0.497106 | − | 0.700872i | ||||
\(621\) | −25.7858 | − | 28.9377i | −1.03475 | − | 1.16123i | ||||
\(622\) | −1.96668 | + | 42.1184i | −0.0788565 | + | 1.68879i | ||||
\(623\) | 0.982113 | − | 1.36373i | 0.0393475 | − | 0.0546367i | ||||
\(624\) | −7.59322 | + | 42.5170i | −0.303972 | + | 1.70204i | ||||
\(625\) | −9.51151 | + | 7.98110i | −0.380460 | + | 0.319244i | ||||
\(626\) | 0.170411 | + | 0.223482i | 0.00681101 | + | 0.00893213i | ||||
\(627\) | 1.53487 | − | 9.23925i | 0.0612969 | − | 0.368980i | ||||
\(628\) | 31.2040 | − | 8.15894i | 1.24517 | − | 0.325577i | ||||
\(629\) | 41.3440 | + | 23.8700i | 1.64849 | + | 0.951759i | ||||
\(630\) | −15.8739 | − | 12.0917i | −0.632430 | − | 0.481745i | ||||
\(631\) | −20.9026 | + | 12.0681i | −0.832119 | + | 0.480424i | −0.854578 | − | 0.519324i | \(-0.826184\pi\) |
0.0224588 | + | 0.999748i | \(0.492851\pi\) | |||||||
\(632\) | 4.24991 | + | 4.72336i | 0.169052 | + | 0.187885i | ||||
\(633\) | 22.2229 | + | 7.83993i | 0.883281 | + | 0.311609i | ||||
\(634\) | −3.36329 | − | 26.1583i | −0.133573 | − | 1.03888i | ||||
\(635\) | −32.6039 | − | 11.8668i | −1.29385 | − | 0.470921i | ||||
\(636\) | 10.7262 | − | 7.57240i | 0.425322 | − | 0.300265i | ||||
\(637\) | −37.1988 | − | 22.8136i | −1.47387 | − | 0.903909i | ||||
\(638\) | 6.63416 | + | 12.8388i | 0.262649 | + | 0.508295i | ||||
\(639\) | −0.0941239 | − | 0.155811i | −0.00372348 | − | 0.00616380i | ||||
\(640\) | −3.93614 | − | 19.7235i | −0.155589 | − | 0.779640i | ||||
\(641\) | −2.25891 | + | 2.69206i | −0.0892215 | + | 0.106330i | −0.808808 | − | 0.588073i | \(-0.799887\pi\) |
0.719587 | + | 0.694403i | \(0.244331\pi\) | |||||||
\(642\) | −6.97158 | + | 2.25101i | −0.275146 | + | 0.0888404i | ||||
\(643\) | −8.84481 | + | 24.3009i | −0.348805 | + | 0.958335i | 0.633942 | + | 0.773381i | \(0.281436\pi\) |
−0.982747 | + | 0.184954i | \(0.940786\pi\) | |||||||
\(644\) | 36.8227 | + | 14.2139i | 1.45102 | + | 0.560105i | ||||
\(645\) | −20.4884 | + | 12.1013i | −0.806731 | + | 0.476489i | ||||
\(646\) | −17.9134 | − | 4.02823i | −0.704793 | − | 0.158489i | ||||
\(647\) | −14.4073 | + | 24.9542i | −0.566410 | + | 0.981051i | 0.430507 | + | 0.902587i | \(0.358335\pi\) |
−0.996917 | + | 0.0784634i | \(0.974999\pi\) | |||||||
\(648\) | −20.6596 | − | 14.8721i | −0.811586 | − | 0.584233i | ||||
\(649\) | 9.10825 | + | 15.7760i | 0.357530 | + | 0.619260i | ||||
\(650\) | −10.9939 | + | 11.9251i | −0.431216 | + | 0.467740i | ||||
\(651\) | 15.7415 | + | 22.6425i | 0.616957 | + | 0.887431i | ||||
\(652\) | −15.3749 | + | 1.25139i | −0.602128 | + | 0.0490082i | ||||
\(653\) | 0.189876 | − | 0.0334803i | 0.00743043 | − | 0.00131018i | −0.169932 | − | 0.985456i | \(-0.554355\pi\) |
0.177362 | + | 0.984146i | \(0.443244\pi\) | |||||||
\(654\) | 9.18315 | + | 8.29923i | 0.359089 | + | 0.324526i | ||||
\(655\) | −15.0440 | + | 17.9287i | −0.587816 | + | 0.700532i | ||||
\(656\) | 0.309861 | − | 1.64088i | 0.0120980 | − | 0.0640656i | ||||
\(657\) | −2.11769 | − | 3.50558i | −0.0826188 | − | 0.136766i | ||||
\(658\) | −22.3825 | − | 12.1191i | −0.872560 | − | 0.472453i | ||||
\(659\) | −0.101420 | + | 0.0369138i | −0.00395075 | + | 0.00143796i | −0.343995 | − | 0.938972i | \(-0.611780\pi\) |
0.340044 | + | 0.940410i | \(0.389558\pi\) | |||||||
\(660\) | 10.6860 | + | 4.93286i | 0.415951 | + | 0.192011i | ||||
\(661\) | −1.05921 | − | 6.00710i | −0.0411986 | − | 0.233649i | 0.957255 | − | 0.289247i | \(-0.0934048\pi\) |
−0.998453 | + | 0.0555975i | \(0.982294\pi\) | |||||||
\(662\) | 0.267468 | + | 2.08026i | 0.0103954 | + | 0.0808514i | ||||
\(663\) | −37.6379 | + | 32.2229i | −1.46173 | + | 1.25144i | ||||
\(664\) | −6.94421 | − | 32.7269i | −0.269488 | − | 1.27005i | ||||
\(665\) | −5.78335 | + | 11.9847i | −0.224269 | + | 0.464746i | ||||
\(666\) | 29.2689 | − | 33.0387i | 1.13415 | − | 1.28022i | ||||
\(667\) | − | 39.8828i | − | 1.54427i | ||||||
\(668\) | −33.0396 | − | 33.4421i | −1.27834 | − | 1.29391i | ||||
\(669\) | −1.19642 | + | 7.20192i | −0.0462563 | + | 0.278442i | ||||
\(670\) | 22.3089 | − | 2.86835i | 0.861867 | − | 0.110814i | ||||
\(671\) | −2.96811 | − | 16.8330i | −0.114583 | − | 0.649831i | ||||
\(672\) | 25.6342 | + | 3.85826i | 0.988862 | + | 0.148836i | ||||
\(673\) | 1.07391 | + | 0.901115i | 0.0413961 | + | 0.0347354i | 0.663251 | − | 0.748397i | \(-0.269176\pi\) |
−0.621855 | + | 0.783132i | \(0.713621\pi\) | |||||||
\(674\) | −44.3552 | + | 22.9195i | −1.70850 | + | 0.882826i | ||||
\(675\) | −3.53524 | − | 8.88203i | −0.136071 | − | 0.341870i | ||||
\(676\) | 29.9230 | − | 42.1886i | 1.15088 | − | 1.62264i | ||||
\(677\) | −41.9836 | − | 7.40284i | −1.61356 | − | 0.284514i | −0.707198 | − | 0.707016i | \(-0.750041\pi\) |
−0.906362 | + | 0.422502i | \(0.861152\pi\) | |||||||
\(678\) | 6.22601 | + | 3.90641i | 0.239109 | + | 0.150025i | ||||
\(679\) | 29.4898 | + | 8.32265i | 1.13172 | + | 0.319394i | ||||
\(680\) | 10.8393 | − | 20.3684i | 0.415669 | − | 0.781092i | ||||
\(681\) | 24.7611 | + | 4.11345i | 0.948849 | + | 0.157628i | ||||
\(682\) | −11.9587 | − | 11.0249i | −0.457921 | − | 0.422164i | ||||
\(683\) | 8.06552 | + | 13.9699i | 0.308619 | + | 0.534543i | 0.978060 | − | 0.208321i | \(-0.0668000\pi\) |
−0.669442 | + | 0.742865i | \(0.733467\pi\) | |||||||
\(684\) | −6.96173 | + | 15.4825i | −0.266188 | + | 0.591989i | ||||
\(685\) | −13.5768 | − | 23.5158i | −0.518744 | − | 0.898491i | ||||
\(686\) | −13.0776 | + | 22.6931i | −0.499304 | + | 0.866427i | ||||
\(687\) | 0.800074 | − | 2.26787i | 0.0305247 | − | 0.0865248i | ||||
\(688\) | 15.7791 | − | 26.5818i | 0.601574 | − | 1.01342i | ||||
\(689\) | −23.2691 | + | 4.10297i | −0.886483 | + | 0.156311i | ||||
\(690\) | −19.9502 | − | 25.6323i | −0.759491 | − | 0.975805i | ||||
\(691\) | 3.38862 | − | 4.03840i | 0.128909 | − | 0.153628i | −0.697729 | − | 0.716362i | \(-0.745806\pi\) |
0.826638 | + | 0.562734i | \(0.190250\pi\) | |||||||
\(692\) | −23.6820 | + | 10.8691i | −0.900255 | + | 0.413180i | ||||
\(693\) | −10.6562 | + | 10.7968i | −0.404795 | + | 0.410136i | ||||
\(694\) | −35.2603 | − | 22.6136i | −1.33846 | − | 0.858402i | ||||
\(695\) | −22.3064 | + | 8.11885i | −0.846128 | + | 0.307966i | ||||
\(696\) | −5.69056 | − | 25.5679i | −0.215700 | − | 0.969150i | ||||
\(697\) | 1.46750 | − | 1.23138i | 0.0555855 | − | 0.0466418i | ||||
\(698\) | 24.5626 | + | 32.2121i | 0.929709 | + | 1.21924i | ||||
\(699\) | 9.50576 | − | 16.8479i | 0.359541 | − | 0.637247i | ||||
\(700\) | 7.33527 | + | 6.40055i | 0.277247 | + | 0.241918i | ||||
\(701\) | − | 4.12598i | − | 0.155836i | −0.996960 | − | 0.0779181i | \(-0.975173\pi\) | ||
0.996960 | − | 0.0779181i | \(-0.0248273\pi\) | |||||||
\(702\) | 22.2300 | + | 40.0543i | 0.839018 | + | 1.51175i | ||||
\(703\) | −25.4912 | − | 14.7173i | −0.961418 | − | 0.555075i | ||||
\(704\) | −15.2533 | + | 1.05576i | −0.574880 | + | 0.0397906i | ||||
\(705\) | 10.6521 | + | 18.0347i | 0.401180 | + | 0.679228i | ||||
\(706\) | −0.444191 | − | 3.45474i | −0.0167173 | − | 0.130021i | ||||
\(707\) | 8.85768 | − | 2.24789i | 0.333127 | − | 0.0845406i | ||||
\(708\) | −8.66851 | − | 31.8592i | −0.325783 | − | 1.19734i | ||||
\(709\) | −18.9137 | + | 6.88403i | −0.710319 | + | 0.258535i | −0.671810 | − | 0.740723i | \(-0.734483\pi\) |
−0.0385089 | + | 0.999258i | \(0.512261\pi\) | |||||||
\(710\) | −0.0700289 | − | 0.135524i | −0.00262814 | − | 0.00508613i | ||||
\(711\) | 6.65882 | + | 1.03849i | 0.249725 | + | 0.0389464i | ||||
\(712\) | 1.10660 | − | 1.41535i | 0.0414716 | − | 0.0530425i | ||||
\(713\) | 15.3526 | + | 42.1809i | 0.574959 | + | 1.57969i | ||||
\(714\) | 19.9509 | + | 22.0536i | 0.746643 | + | 0.825334i | ||||
\(715\) | −13.6144 | − | 16.2250i | −0.509149 | − | 0.606780i | ||||
\(716\) | 21.7772 | + | 10.3158i | 0.813852 | + | 0.385521i | ||||
\(717\) | −13.8120 | + | 2.57684i | −0.515820 | + | 0.0962338i | ||||
\(718\) | 2.34100 | + | 0.526427i | 0.0873655 | + | 0.0196461i | ||||
\(719\) | −0.636712 | + | 1.10282i | −0.0237454 | + | 0.0411282i | −0.877654 | − | 0.479295i | \(-0.840892\pi\) |
0.853909 | + | 0.520423i | \(0.174226\pi\) | |||||||
\(720\) | −16.4469 | − | 13.5858i | −0.612940 | − | 0.506311i | ||||
\(721\) | −5.91303 | − | 2.85340i | −0.220213 | − | 0.106266i | ||||
\(722\) | −15.1707 | − | 3.41147i | −0.564594 | − | 0.126962i | ||||
\(723\) | −12.9029 | − | 34.3861i | −0.479863 | − | 1.27883i | ||||
\(724\) | −4.14796 | + | 2.86717i | −0.154158 | + | 0.106557i | ||||
\(725\) | 3.36437 | − | 9.24354i | 0.124950 | − | 0.343296i | ||||
\(726\) | −9.56503 | + | 15.2447i | −0.354992 | + | 0.565783i | ||||
\(727\) | −2.48214 | + | 2.95810i | −0.0920573 | + | 0.109710i | −0.810107 | − | 0.586283i | \(-0.800591\pi\) |
0.718049 | + | 0.695992i | \(0.245035\pi\) | |||||||
\(728\) | −38.7744 | − | 25.9381i | −1.43708 | − | 0.961330i | ||||
\(729\) | −26.9523 | + | 1.60465i | −0.998232 | + | 0.0594316i | ||||
\(730\) | −1.57557 | − | 3.04915i | −0.0583146 | − | 0.112854i | ||||
\(731\) | 33.3239 | − | 12.1289i | 1.23253 | − | 0.448604i | ||||
\(732\) | −2.58106 | + | 30.8728i | −0.0953989 | + | 1.14109i | ||||
\(733\) | −19.1276 | + | 16.0500i | −0.706494 | + | 0.592819i | −0.923613 | − | 0.383326i | \(-0.874778\pi\) |
0.217119 | + | 0.976145i | \(0.430334\pi\) | |||||||
\(734\) | 14.7185 | + | 6.14887i | 0.543271 | + | 0.226959i | ||||
\(735\) | 18.8425 | − | 10.4650i | 0.695014 | − | 0.386006i | ||||
\(736\) | 38.7352 | + | 16.7358i | 1.42780 | + | 0.616892i | ||||
\(737\) | − | 17.0992i | − | 0.629857i | ||||||
\(738\) | −0.844107 | − | 1.55709i | −0.0310720 | − | 0.0573174i | ||||
\(739\) | − | 0.946193i | − | 0.0348063i | −0.999849 | − | 0.0174031i | \(-0.994460\pi\) | ||
0.999849 | − | 0.0174031i | \(-0.00553987\pi\) | |||||||
\(740\) | 26.3130 | − | 25.9964i | 0.967286 | − | 0.955645i | ||||
\(741\) | 23.2061 | − | 19.8675i | 0.852497 | − | 0.729849i | ||||
\(742\) | 2.84351 | + | 13.8939i | 0.104388 | + | 0.510060i | ||||
\(743\) | −11.0399 | + | 9.26359i | −0.405015 | + | 0.339848i | −0.822428 | − | 0.568869i | \(-0.807381\pi\) |
0.417413 | + | 0.908717i | \(0.362937\pi\) | |||||||
\(744\) | 15.8607 | + | 24.8507i | 0.581480 | + | 0.911071i | ||||
\(745\) | 2.76223 | − | 15.6654i | 0.101200 | − | 0.573936i | ||||
\(746\) | 1.64822 | − | 35.2983i | 0.0603455 | − | 1.29236i | ||||
\(747\) | −27.6298 | − | 22.2660i | −1.01092 | − | 0.814671i | ||||
\(748\) | −14.3071 | − | 10.1476i | −0.523120 | − | 0.371032i | ||||
\(749\) | 0.794184 | − | 7.87301i | 0.0290189 | − | 0.287674i | ||||
\(750\) | −9.15142 | − | 28.3427i | −0.334163 | − | 1.03493i | ||||
\(751\) | −22.3940 | + | 3.94867i | −0.817169 | + | 0.144089i | −0.566582 | − | 0.824005i | \(-0.691735\pi\) |
−0.250587 | + | 0.968094i | \(0.580624\pi\) | |||||||
\(752\) | −23.3983 | − | 13.8894i | −0.853250 | − | 0.506496i | ||||
\(753\) | −15.3047 | − | 8.63505i | −0.557733 | − | 0.314679i | ||||
\(754\) | −10.3416 | + | 45.9887i | −0.376619 | + | 1.67481i | ||||
\(755\) | 34.6858 | 1.26235 | ||||||||
\(756\) | 23.6673 | − | 13.9949i | 0.860773 | − | 0.508990i | ||||
\(757\) | −21.0945 | −0.766692 | −0.383346 | − | 0.923605i | \(-0.625228\pi\) | ||||
−0.383346 | + | 0.923605i | \(0.625228\pi\) | |||||||
\(758\) | 1.25287 | − | 5.57148i | 0.0455063 | − | 0.202365i | ||||
\(759\) | −21.2611 | + | 12.5577i | −0.771729 | + | 0.455815i | ||||
\(760\) | −6.68311 | + | 12.5584i | −0.242422 | + | 0.455540i | ||||
\(761\) | −24.3479 | + | 4.29319i | −0.882611 | + | 0.155628i | −0.596543 | − | 0.802581i | \(-0.703459\pi\) |
−0.286068 | + | 0.958209i | \(0.592348\pi\) | |||||||
\(762\) | 32.0551 | − | 35.4692i | 1.16124 | − | 1.28491i | ||||
\(763\) | −12.1907 | + | 5.48892i | −0.441334 | + | 0.198712i | ||||
\(764\) | −9.94332 | + | 14.0191i | −0.359737 | + | 0.507194i | ||||
\(765\) | −4.72648 | − | 24.0118i | −0.170886 | − | 0.868149i | ||||
\(766\) | 1.91180 | − | 40.9431i | 0.0690760 | − | 1.47933i | ||||
\(767\) | −10.3177 | + | 58.5146i | −0.372551 | + | 2.11284i | ||||
\(768\) | 27.2202 | + | 5.20215i | 0.982223 | + | 0.187716i | ||||
\(769\) | −4.67024 | + | 3.91880i | −0.168413 | + | 0.141315i | −0.723099 | − | 0.690744i | \(-0.757283\pi\) |
0.554686 | + | 0.832060i | \(0.312838\pi\) | |||||||
\(770\) | −9.51142 | + | 8.43466i | −0.342768 | + | 0.303964i | ||||
\(771\) | −25.3390 | − | 8.93923i | −0.912560 | − | 0.321939i | ||||
\(772\) | 1.10267 | + | 1.11610i | 0.0396860 | + | 0.0401694i | ||||
\(773\) | 30.7940i | 1.10758i | 0.832656 | + | 0.553791i | \(0.186819\pi\) | ||||
−0.832656 | + | 0.553791i | \(0.813181\pi\) | |||||||
\(774\) | −4.82496 | − | 32.4305i | −0.173430 | − | 1.16569i | ||||
\(775\) | 11.0713i | 0.397692i | ||||||||
\(776\) | 31.1506 | + | 10.1336i | 1.11824 | + | 0.363776i | ||||
\(777\) | 20.0033 | + | 43.2758i | 0.717614 | + | 1.55251i | ||||
\(778\) | 23.5298 | + | 9.82992i | 0.843585 | + | 0.352420i | ||||
\(779\) | −0.904805 | + | 0.759222i | −0.0324180 | + | 0.0272019i | ||||
\(780\) | 16.3581 | + | 34.7296i | 0.585713 | + | 1.24352i | ||||
\(781\) | −0.108976 | + | 0.0396639i | −0.00389945 | + | 0.00141928i | ||||
\(782\) | 22.2219 | + | 43.0052i | 0.794654 | + | 1.53786i | ||||
\(783\) | −21.8041 | − | 17.2176i | −0.779215 | − | 0.615307i | ||||
\(784\) | −14.9264 | + | 23.6897i | −0.533084 | + | 0.846062i | ||||
\(785\) | 18.4275 | − | 21.9611i | 0.657707 | − | 0.783824i | ||||
\(786\) | −15.0873 | − | 28.5017i | −0.538147 | − | 1.01662i | ||||
\(787\) | 7.19335 | − | 19.7636i | 0.256415 | − | 0.704495i | −0.742966 | − | 0.669329i | \(-0.766582\pi\) |
0.999381 | − | 0.0351664i | \(-0.0111961\pi\) | |||||||
\(788\) | −11.6655 | − | 16.8766i | −0.415568 | − | 0.601206i | ||||
\(789\) | −30.2964 | + | 36.8413i | −1.07858 | + | 1.31158i | ||||
\(790\) | 5.51006 | + | 1.23906i | 0.196039 | + | 0.0440838i | ||||
\(791\) | −6.56306 | + | 4.46692i | −0.233356 | + | 0.158826i | ||||
\(792\) | −11.8383 | + | 11.0840i | −0.420654 | + | 0.393854i | ||||
\(793\) | 27.8759 | − | 48.2824i | 0.989901 | − | 1.71456i | ||||
\(794\) | −33.3133 | − | 7.49125i | −1.18225 | − | 0.265854i | ||||
\(795\) | 3.88266 | − | 11.0057i | 0.137704 | − | 0.390332i | ||||
\(796\) | −5.43088 | + | 11.4648i | −0.192492 | + | 0.406360i | ||||
\(797\) | 30.6278 | + | 36.5008i | 1.08489 | + | 1.29292i | 0.953434 | + | 0.301602i | \(0.0975215\pi\) |
0.131458 | + | 0.991322i | \(0.458034\pi\) | |||||||
\(798\) | −12.3010 | − | 13.5974i | −0.435449 | − | 0.481343i | ||||
\(799\) | −10.6764 | − | 29.3331i | −0.377703 | − | 1.03773i | ||||
\(800\) | 7.56579 | + | 7.14640i | 0.267491 | + | 0.252663i | ||||
\(801\) | −0.0377704 | − | 1.90521i | −0.00133455 | − | 0.0673172i | ||||
\(802\) | 2.46684 | + | 4.77398i | 0.0871071 | + | 0.168575i | ||||
\(803\) | −2.45183 | + | 0.892394i | −0.0865233 | + | 0.0314919i | ||||
\(804\) | −7.90588 | + | 29.9670i | −0.278819 | + | 1.05686i | ||||
\(805\) | 34.0057 | − | 8.62992i | 1.19854 | − | 0.304165i | ||||
\(806\) | −6.76554 | − | 52.6196i | −0.238306 | − | 1.85345i | ||||
\(807\) | 1.84754 | − | 3.27456i | 0.0650365 | − | 0.115270i | ||||
\(808\) | 9.55666 | − | 2.02780i | 0.336202 | − | 0.0713376i | ||||
\(809\) | −25.5024 | − | 14.7238i | −0.896616 | − | 0.517662i | −0.0205154 | − | 0.999790i | \(-0.506531\pi\) |
−0.876101 | + | 0.482128i | \(0.839864\pi\) | |||||||
\(810\) | −22.6259 | − | 0.158739i | −0.794994 | − | 0.00557751i | ||||
\(811\) | 15.8744i | 0.557425i | 0.960375 | + | 0.278712i | \(0.0899076\pi\) | ||||
−0.960375 | + | 0.278712i | \(0.910092\pi\) | |||||||
\(812\) | 27.7623 | + | 5.45029i | 0.974266 | + | 0.191268i | ||||
\(813\) | 23.5999 | + | 39.9564i | 0.827686 | + | 1.40133i | ||||
\(814\) | −17.0505 | − | 22.3605i | −0.597621 | − | 0.783736i | ||||
\(815\) | −10.5034 | + | 8.81339i | −0.367918 | + | 0.308720i | ||||
\(816\) | 20.3820 | + | 24.3990i | 0.713514 | + | 0.854136i | ||||
\(817\) | −20.5463 | + | 7.47824i | −0.718823 | + | 0.261630i | ||||
\(818\) | 13.5534 | + | 8.69225i | 0.473883 | + | 0.303917i | ||||
\(819\) | −49.2624 | + | 4.63546i | −1.72137 | + | 0.161976i | ||||
\(820\) | −0.619127 | − | 1.34898i | −0.0216208 | − | 0.0471085i | ||||
\(821\) | 1.65951 | − | 1.97773i | 0.0579174 | − | 0.0690233i | −0.736308 | − | 0.676647i | \(-0.763433\pi\) |
0.794225 | + | 0.607623i | \(0.207877\pi\) | |||||||
\(822\) | 37.0603 | − | 5.13888i | 1.29263 | − | 0.179239i | ||||
\(823\) | −2.24226 | + | 0.395370i | −0.0781601 | + | 0.0137817i | −0.212591 | − | 0.977141i | \(-0.568190\pi\) |
0.134431 | + | 0.990923i | \(0.457079\pi\) | |||||||
\(824\) | −6.19608 | − | 3.29733i | −0.215851 | − | 0.114868i | ||||
\(825\) | −5.98696 | + | 1.11695i | −0.208439 | + | 0.0388873i | ||||
\(826\) | 35.2773 | + | 5.23045i | 1.22745 | + | 0.181991i | ||||
\(827\) | −5.87011 | − | 10.1673i | −0.204124 | − | 0.353553i | 0.745729 | − | 0.666249i | \(-0.232101\pi\) |
−0.949853 | + | 0.312696i | \(0.898768\pi\) | |||||||
\(828\) | 43.0671 | − | 12.1777i | 1.49668 | − | 0.423205i | ||||
\(829\) | 14.8461 | + | 25.7141i | 0.515625 | + | 0.893089i | 0.999836 | + | 0.0181374i | \(0.00577364\pi\) |
−0.484210 | + | 0.874952i | \(0.660893\pi\) | |||||||
\(830\) | −21.8635 | − | 20.1563i | −0.758894 | − | 0.699636i | ||||
\(831\) | −1.37334 | + | 1.67002i | −0.0476406 | + | 0.0579323i | ||||
\(832\) | −40.3259 | − | 29.3421i | −1.39805 | − | 1.01725i | ||||
\(833\) | −30.4653 | + | 10.1815i | −1.05556 | + | 0.352768i | ||||
\(834\) | 1.20173 | − | 32.6863i | 0.0416125 | − | 1.13183i | ||||
\(835\) | −41.1506 | − | 7.25596i | −1.42407 | − | 0.251103i | ||||
\(836\) | 8.82123 | + | 6.25662i | 0.305089 | + | 0.216390i | ||||
\(837\) | 29.6883 | + | 9.81640i | 1.02618 | + | 0.339305i | ||||
\(838\) | 7.79000 | − | 4.02529i | 0.269101 | − | 0.139051i | ||||
\(839\) | −5.30933 | − | 4.45506i | −0.183298 | − | 0.153806i | 0.546522 | − | 0.837445i | \(-0.315952\pi\) |
−0.729820 | + | 0.683639i | \(0.760396\pi\) | |||||||
\(840\) | 20.5690 | − | 10.3844i | 0.709696 | − | 0.358297i | ||||
\(841\) | 0.0716174 | + | 0.406163i | 0.00246957 | + | 0.0140056i | ||||
\(842\) | 54.2050 | − | 6.96937i | 1.86803 | − | 0.240180i | ||||
\(843\) | 39.4512 | − | 14.8035i | 1.35877 | − | 0.509860i | ||||
\(844\) | −19.3571 | + | 19.1241i | −0.666298 | + | 0.658279i | ||||
\(845\) | − | 45.9740i | − | 1.58155i | ||||||
\(846\) | −28.5466 | + | 4.24712i | −0.981454 | + | 0.146019i | ||||
\(847\) | −10.9375 | − | 16.0700i | −0.375816 | − | 0.552170i | ||||
\(848\) | 2.45173 | + | 14.9615i | 0.0841926 | + | 0.513780i | ||||
\(849\) | 4.08624 | + | 21.9026i | 0.140239 | + | 0.751695i | ||||
\(850\) | 1.52255 | + | 11.8418i | 0.0522231 | + | 0.406170i | ||||
\(851\) | 13.4757 | + | 76.4243i | 0.461940 | + | 2.61979i | ||||
\(852\) | 0.209323 | − | 0.0191273i | 0.00717129 | − | 0.000655290i | ||||
\(853\) | 22.9098 | − | 8.33849i | 0.784417 | − | 0.285504i | 0.0814036 | − | 0.996681i | \(-0.474060\pi\) |
0.703013 | + | 0.711177i | \(0.251837\pi\) | |||||||
\(854\) | −29.4262 | − | 15.9330i | −1.00694 | − | 0.545216i | ||||
\(855\) | 2.91417 | + | 14.8048i | 0.0996625 | + | 0.506313i | ||||
\(856\) | 1.18027 | − | 8.37657i | 0.0403410 | − | 0.286305i | ||||
\(857\) | −17.2921 | + | 20.6080i | −0.590688 | + | 0.703955i | −0.975738 | − | 0.218941i | \(-0.929740\pi\) |
0.385050 | + | 0.922896i | \(0.374184\pi\) | |||||||
\(858\) | 27.7723 | − | 8.96724i | 0.948131 | − | 0.306136i | ||||
\(859\) | −29.9078 | + | 5.27355i | −1.02044 | + | 0.179931i | −0.658746 | − | 0.752366i | \(-0.728913\pi\) |
−0.361694 | + | 0.932297i | \(0.617802\pi\) | |||||||
\(860\) | −2.22899 | − | 27.3859i | −0.0760078 | − | 0.933851i | ||||
\(861\) | 1.90636 | − | 0.160339i | 0.0649684 | − | 0.00546432i | ||||
\(862\) | 20.4033 | − | 22.1314i | 0.694939 | − | 0.753799i | ||||
\(863\) | −17.0277 | − | 29.4928i | −0.579629 | − | 1.00395i | −0.995522 | − | 0.0945334i | \(-0.969864\pi\) |
0.415892 | − | 0.909414i | \(-0.363469\pi\) | |||||||
\(864\) | 25.8718 | − | 13.9518i | 0.880175 | − | 0.474648i | ||||
\(865\) | −11.5805 | + | 20.0580i | −0.393748 | + | 0.681991i | ||||
\(866\) | 18.7154 | + | 4.20858i | 0.635976 | + | 0.143013i | ||||
\(867\) | 0.0696448 | + | 7.02672i | 0.00236526 | + | 0.238640i | ||||
\(868\) | −31.4601 | + | 4.92256i | −1.06783 | + | 0.167083i | ||||
\(869\) | 1.46844 | − | 4.03452i | 0.0498135 | − | 0.136862i | ||||
\(870\) | −17.2733 | − | 15.6107i | −0.585620 | − | 0.529251i | ||||
\(871\) | 35.8502 | − | 42.7246i | 1.21474 | − | 1.44767i | ||||
\(872\) | −13.2537 | + | 5.34939i | −0.448827 | + | 0.181153i | ||||
\(873\) | 32.4072 | − | 12.5281i | 1.09682 | − | 0.424012i | ||||
\(874\) | −13.7012 | − | 26.5154i | −0.463450 | − | 0.896897i | ||||
\(875\) | 32.0075 | + | 3.22873i | 1.08205 | + | 0.109151i | ||||
\(876\) | 4.70954 | − | 0.430343i | 0.159121 | − | 0.0145399i | ||||
\(877\) | −6.73358 | − | 2.45082i | −0.227377 | − | 0.0827584i | 0.225819 | − | 0.974169i | \(-0.427494\pi\) |
−0.453196 | + | 0.891411i | \(0.649716\pi\) | |||||||
\(878\) | 0.620965 | + | 4.82962i | 0.0209566 | + | 0.162992i | ||||
\(879\) | 0.722514 | + | 3.87273i | 0.0243698 | + | 0.130624i | ||||
\(880\) | −10.5158 | + | 8.60902i | −0.354488 | + | 0.290210i | ||||
\(881\) | 2.89340 | − | 1.67051i | 0.0974812 | − | 0.0562808i | −0.450467 | − | 0.892793i | \(-0.648742\pi\) |
0.547948 | + | 0.836512i | \(0.315409\pi\) | |||||||
\(882\) | 3.58946 | + | 29.4808i | 0.120863 | + | 0.992669i | ||||
\(883\) | 20.3703 | + | 11.7608i | 0.685515 | + | 0.395782i | 0.801930 | − | 0.597418i | \(-0.203807\pi\) |
−0.116415 | + | 0.993201i | \(0.537140\pi\) | |||||||
\(884\) | −14.4728 | − | 55.3514i | −0.486773 | − | 1.86167i | ||||
\(885\) | −22.6675 | − | 18.6406i | −0.761958 | − | 0.626596i | ||||
\(886\) | 0.859055 | + | 1.12659i | 0.0288605 | + | 0.0378484i | ||||
\(887\) | −8.72265 | + | 7.31917i | −0.292878 | + | 0.245754i | −0.777373 | − | 0.629040i | \(-0.783448\pi\) |
0.484495 | + | 0.874794i | \(0.339004\pi\) | |||||||
\(888\) | 19.5433 | + | 47.0711i | 0.655831 | + | 1.57960i | ||||
\(889\) | 21.2005 | + | 47.0857i | 0.711042 | + | 1.57921i | ||||
\(890\) | 0.0744850 | − | 1.59517i | 0.00249674 | − | 0.0534703i | ||||
\(891\) | −2.31319 | + | 17.0448i | −0.0774947 | + | 0.571021i | ||||
\(892\) | −6.87608 | − | 4.87698i | −0.230228 | − | 0.163293i | ||||
\(893\) | 6.58265 | + | 18.0857i | 0.220280 | + | 0.605214i | ||||
\(894\) | 18.5663 | + | 11.6491i | 0.620951 | + | 0.389606i | ||||
\(895\) | 21.0932 | − | 3.71930i | 0.705069 | − | 0.124323i | ||||
\(896\) | −16.9433 | + | 24.6764i | −0.566035 | + | 0.824381i | ||||
\(897\) | −79.4521 | − | 13.1990i | −2.65283 | − | 0.440702i | ||||
\(898\) | −46.7373 | + | 14.5808i | −1.55964 | + | 0.486569i | ||||
\(899\) | 16.0876 | + | 27.8646i | 0.536553 | + | 0.929337i | ||||
\(900\) | 11.0088 | + | 0.810587i | 0.366961 | + | 0.0270196i | ||||
\(901\) | −8.69637 | + | 15.0626i | −0.289718 | + | 0.501807i | ||||
\(902\) | −1.07717 | + | 0.336049i | −0.0358658 | + | 0.0111892i | ||||
\(903\) | 34.1768 | + | 9.28072i | 1.13733 | + | 0.308843i | ||||
\(904\) | −7.19907 | + | 4.49494i | −0.239438 | + | 0.149499i | ||||
\(905\) | −1.53293 | + | 4.21168i | −0.0509562 | + | 0.140001i | ||||
\(906\) | −17.9853 | + | 44.2802i | −0.597523 | + | 1.47111i | ||||
\(907\) | 17.2720 | + | 3.04553i | 0.573509 | + | 0.101125i | 0.452878 | − | 0.891572i | \(-0.350397\pi\) |
0.120631 | + | 0.992697i | \(0.461508\pi\) | |||||||
\(908\) | −16.7677 | + | 23.6409i | −0.556456 | + | 0.784550i | ||||
\(909\) | 6.50195 | − | 8.06825i | 0.215656 | − | 0.267607i | ||||
\(910\) | −41.4496 | + | 1.13346i | −1.37404 | + | 0.0375738i | ||||
\(911\) | 7.85465 | − | 44.5459i | 0.260236 | − | 1.47587i | −0.522030 | − | 0.852927i | \(-0.674825\pi\) |
0.782266 | − | 0.622945i | \(-0.214064\pi\) | |||||||
\(912\) | −12.5668 | − | 15.0435i | −0.416128 | − | 0.498140i | ||||
\(913\) | −17.3176 | + | 14.5312i | −0.573130 | + | 0.480913i | ||||
\(914\) | −17.2086 | + | 41.1921i | −0.569209 | + | 1.36251i | ||||
\(915\) | 14.0042 | + | 23.7102i | 0.462966 | + | 0.783835i | ||||
\(916\) | 1.95164 | + | 1.97541i | 0.0644840 | + | 0.0652695i | ||||
\(917\) | 34.7372 | − | 2.57521i | 1.14712 | − | 0.0850409i | ||||
\(918\) | 33.1045 | + | 6.41677i | 1.09261 | + | 0.211785i | ||||
\(919\) | 24.8558 | − | 14.3505i | 0.819918 | − | 0.473380i | −0.0304702 | − | 0.999536i | \(-0.509700\pi\) |
0.850388 | + | 0.526156i | \(0.176367\pi\) | |||||||
\(920\) | 36.6892 | − | 7.78495i | 1.20961 | − | 0.256662i | ||||
\(921\) | 6.73986 | + | 11.4111i | 0.222086 | + | 0.376008i | ||||
\(922\) | 27.1484 | − | 20.7014i | 0.894084 | − | 0.681765i | ||||
\(923\) | −0.355449 | − | 0.129373i | −0.0116997 | − | 0.00425836i | ||||
\(924\) | −5.83589 | − | 16.5159i | −0.191987 | − | 0.543334i | ||||
\(925\) | −3.32366 | + | 18.8494i | −0.109281 | + | 0.619766i | ||||
\(926\) | −48.4238 | − | 2.26110i | −1.59131 | − | 0.0743044i | ||||
\(927\) | −7.30442 | + | 1.43780i | −0.239909 | + | 0.0472236i | ||||
\(928\) | 29.4263 | + | 6.99250i | 0.965966 | + | 0.229540i | ||||
\(929\) | −8.28649 | + | 9.87545i | −0.271871 | + | 0.324003i | −0.884654 | − | 0.466248i | \(-0.845605\pi\) |
0.612783 | + | 0.790251i | \(0.290050\pi\) | |||||||
\(930\) | 24.2779 | + | 9.86096i | 0.796102 | + | 0.323354i | ||||
\(931\) | 18.7837 | − | 6.27753i | 0.615612 | − | 0.205738i | ||||
\(932\) | 12.7011 | + | 18.3748i | 0.416037 | + | 0.601885i | ||||
\(933\) | −50.7646 | + | 9.47087i | −1.66196 | + | 0.310062i | ||||
\(934\) | 24.8008 | + | 5.57701i | 0.811507 | + | 0.182485i | ||||
\(935\) | −15.5909 | −0.509875 | ||||||||
\(936\) | −52.8182 | + | 2.87481i | −1.72642 | + | 0.0939662i | ||||
\(937\) | 6.63039 | − | 11.4842i | 0.216605 | − | 0.375172i | −0.737163 | − | 0.675715i | \(-0.763835\pi\) |
0.953768 | + | 0.300544i | \(0.0971681\pi\) | |||||||
\(938\) | −26.2224 | − | 20.8087i | −0.856191 | − | 0.679427i | ||||
\(939\) | −0.218626 | + | 0.265855i | −0.00713458 | + | 0.00867585i | ||||
\(940\) | −24.1062 | + | 1.96204i | −0.786257 | + | 0.0639948i | ||||
\(941\) | −11.7201 | + | 32.2006i | −0.382063 | + | 1.04971i | 0.588423 | + | 0.808553i | \(0.299749\pi\) |
−0.970486 | + | 0.241157i | \(0.922473\pi\) | |||||||
\(942\) | 18.4806 | + | 34.9121i | 0.602132 | + | 1.13750i | ||||
\(943\) | 3.06671 | + | 0.540744i | 0.0998659 | + | 0.0176091i | ||||
\(944\) | 37.4632 | + | 7.07448i | 1.21932 | + | 0.230255i | ||||
\(945\) | 9.96244 | − | 22.3167i | 0.324078 | − | 0.725961i | ||||
\(946\) | −20.8653 | − | 0.974285i | −0.678390 | − | 0.0316767i | ||||
\(947\) | 1.32713 | − | 7.52650i | 0.0431258 | − | 0.244579i | −0.955623 | − | 0.294593i | \(-0.904816\pi\) |
0.998748 | + | 0.0500149i | \(0.0159269\pi\) | |||||||
\(948\) | −4.43888 | + | 6.39172i | −0.144168 | + | 0.207593i | ||||
\(949\) | −7.99722 | − | 2.91075i | −0.259601 | − | 0.0944869i | ||||
\(950\) | −0.938747 | − | 7.30120i | −0.0304570 | − | 0.236882i | ||||
\(951\) | 30.2420 | − | 11.3479i | 0.980665 | − | 0.367980i | ||||
\(952\) | −32.9727 | + | 9.59164i | −1.06865 | + | 0.310867i | ||||
\(953\) | 3.30419 | + | 1.90768i | 0.107033 | + | 0.0617957i | 0.552561 | − | 0.833472i | \(-0.313651\pi\) |
−0.445528 | + | 0.895268i | \(0.646984\pi\) | |||||||
\(954\) | 12.0367 | + | 10.6633i | 0.389703 | + | 0.345238i | ||||
\(955\) | 15.2770i | 0.494353i | ||||||||
\(956\) | 4.29386 | − | 15.6454i | 0.138873 | − | 0.506010i | ||||
\(957\) | −13.4452 | + | 11.5108i | −0.434621 | + | 0.372092i | ||||
\(958\) | −15.7962 | − | 20.7155i | −0.510351 | − | 0.669287i | ||||
\(959\) | −10.9766 | + | 38.8935i | −0.354452 | + | 1.25594i | ||||
\(960\) | 22.4098 | − | 10.2256i | 0.723274 | − | 0.330031i | ||||
\(961\) | −3.99357 | − | 3.35100i | −0.128825 | − | 0.108097i | ||||
\(962\) | 4.27805 | − | 91.6189i | 0.137930 | − | 2.95391i | ||||
\(963\) | −4.63937 | − | 7.67993i | −0.149501 | − | 0.247482i | ||||
\(964\) | 42.2244 | + | 3.95187i | 1.35996 | + | 0.127281i | ||||
\(965\) | 1.37337 | + | 0.242162i | 0.0442102 | + | 0.00779546i | ||||
\(966\) | −6.61567 | + | 47.8868i | −0.212856 | + | 1.54073i | ||||
\(967\) | −18.2276 | + | 50.0798i | −0.586159 | + | 1.61046i | 0.191305 | + | 0.981531i | \(0.438728\pi\) |
−0.777464 | + | 0.628928i | \(0.783494\pi\) | |||||||
\(968\) | −11.0061 | − | 17.6273i | −0.353748 | − | 0.566562i | ||||
\(969\) | −0.222870 | − | 22.4861i | −0.00715960 | − | 0.722358i | ||||
\(970\) | 27.7952 | − | 8.67140i | 0.892451 | − | 0.278422i | ||||
\(971\) | 27.4635 | + | 47.5682i | 0.881347 | + | 1.52654i | 0.849845 | + | 0.527033i | \(0.176696\pi\) |
0.0315020 | + | 0.999504i | \(0.489971\pi\) | |||||||
\(972\) | 11.9347 | − | 28.8021i | 0.382805 | − | 0.923829i | ||||
\(973\) | 31.8181 | + | 15.3542i | 1.02004 | + | 0.492234i | ||||
\(974\) | 3.21461 | + | 2.96360i | 0.103003 | + | 0.0949597i | ||||
\(975\) | −17.3010 | − | 9.76140i | −0.554076 | − | 0.312615i | ||||
\(976\) | −30.7617 | − | 18.2604i | −0.984659 | − | 0.584501i | ||||
\(977\) | 0.673146 | + | 0.802224i | 0.0215358 | + | 0.0256654i | 0.776705 | − | 0.629865i | \(-0.216890\pi\) |
−0.755169 | + | 0.655530i | \(0.772445\pi\) | |||||||
\(978\) | −5.80502 | − | 17.9787i | −0.185624 | − | 0.574894i | ||||
\(979\) | −1.19556 | − | 0.210809i | −0.0382101 | − | 0.00673747i | ||||
\(980\) | 1.36012 | + | 24.8507i | 0.0434475 | + | 0.793825i | ||||
\(981\) | −7.31805 | + | 13.2762i | −0.233647 | + | 0.423876i | ||||
\(982\) | 6.88370 | + | 4.41475i | 0.219668 | + | 0.140880i | ||||
\(983\) | −4.70641 | + | 26.6914i | −0.150111 | + | 0.851322i | 0.813009 | + | 0.582251i | \(0.197828\pi\) |
−0.963120 | + | 0.269071i | \(0.913283\pi\) | |||||||
\(984\) | 2.04315 | − | 0.0909062i | 0.0651334 | − | 0.00289798i | ||||
\(985\) | −17.1359 | − | 6.23697i | −0.545996 | − | 0.198726i | ||||
\(986\) | 21.0393 | + | 27.5915i | 0.670028 | + | 0.878691i | ||||
\(987\) | 8.16927 | − | 30.0838i | 0.260031 | − | 0.957579i | ||||
\(988\) | 8.92338 | + | 34.1276i | 0.283890 | + | 1.08574i | ||||
\(989\) | 49.9228 | + | 28.8229i | 1.58745 | + | 0.916516i | ||||
\(990\) | −2.88313 | + | 14.1235i | −0.0916319 | + | 0.448873i | ||||
\(991\) | 47.2700 | − | 27.2914i | 1.50158 | − | 0.866939i | 0.501584 | − | 0.865109i | \(-0.332751\pi\) |
0.999998 | − | 0.00182961i | \(-0.000582383\pi\) | |||||||
\(992\) | −33.8136 | + | 3.93203i | −1.07358 | + | 0.124842i | ||||
\(993\) | −2.40501 | + | 0.902447i | −0.0763208 | + | 0.0286383i | ||||
\(994\) | −0.0717902 | + | 0.215387i | −0.00227705 | + | 0.00683168i | ||||
\(995\) | 1.95807 | + | 11.1047i | 0.0620749 | + | 0.352044i | ||||
\(996\) | 37.0684 | − | 17.4597i | 1.17456 | − | 0.553231i | ||||
\(997\) | 19.1801 | − | 6.98098i | 0.607439 | − | 0.221090i | −0.0199432 | − | 0.999801i | \(-0.506349\pi\) |
0.627382 | + | 0.778711i | \(0.284126\pi\) | |||||||
\(998\) | 5.70604 | − | 8.89714i | 0.180621 | − | 0.281634i | ||||
\(999\) | 47.5990 | + | 25.6256i | 1.50597 | + | 0.810757i |
(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 | 756.2.bs.a.11.11 | yes | 840 | |
4.3 | odd | 2 | inner | 756.2.bs.a.11.7 | ✓ | 840 | |
7.2 | even | 3 | 756.2.ci.a.443.83 | yes | 840 | ||
27.5 | odd | 18 | 756.2.ci.a.599.88 | yes | 840 | ||
28.23 | odd | 6 | 756.2.ci.a.443.88 | yes | 840 | ||
108.59 | even | 18 | 756.2.ci.a.599.83 | yes | 840 | ||
189.86 | odd | 18 | inner | 756.2.bs.a.275.7 | yes | 840 | |
756.275 | even | 18 | inner | 756.2.bs.a.275.11 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bs.a.11.7 | ✓ | 840 | 4.3 | odd | 2 | inner | |
756.2.bs.a.11.11 | yes | 840 | 1.1 | even | 1 | trivial | |
756.2.bs.a.275.7 | yes | 840 | 189.86 | odd | 18 | inner | |
756.2.bs.a.275.11 | yes | 840 | 756.275 | even | 18 | inner | |
756.2.ci.a.443.83 | yes | 840 | 7.2 | even | 3 | ||
756.2.ci.a.443.88 | yes | 840 | 28.23 | odd | 6 | ||
756.2.ci.a.599.83 | yes | 840 | 108.59 | even | 18 | ||
756.2.ci.a.599.88 | yes | 840 | 27.5 | odd | 18 |