Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [117,2,Mod(5,117)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(117, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("117.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 117 = 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 117.z (of order \(12\), degree \(4\), 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: | \(0.934249703649\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 5.10 | ||
Character | \(\chi\) | \(=\) | 117.5 |
Dual form | 117.2.z.b.47.10 |
$q$-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 \(\left(\mathbb{Z}/117\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(92\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.496218 | − | 1.85191i | 0.350879 | − | 1.30950i | −0.534712 | − | 0.845034i | \(-0.679580\pi\) |
0.885591 | − | 0.464465i | \(-0.153754\pi\) | |||||||
\(3\) | −0.584991 | − | 1.63027i | −0.337744 | − | 0.941238i | ||||
\(4\) | −1.45130 | − | 0.837906i | −0.725648 | − | 0.418953i | ||||
\(5\) | 0.863788 | − | 0.231451i | 0.386298 | − | 0.103508i | −0.0604429 | − | 0.998172i | \(-0.519251\pi\) |
0.446741 | + | 0.894663i | \(0.352585\pi\) | |||||||
\(6\) | −3.30940 | + | 0.274380i | −1.35106 | + | 0.112015i | ||||
\(7\) | −0.426917 | + | 1.59328i | −0.161359 | + | 0.602202i | 0.837117 | + | 0.547024i | \(0.184239\pi\) |
−0.998477 | + | 0.0551779i | \(0.982427\pi\) | |||||||
\(8\) | 0.439499 | − | 0.439499i | 0.155386 | − | 0.155386i | ||||
\(9\) | −2.31557 | + | 1.90739i | −0.771857 | + | 0.635796i | ||||
\(10\) | − | 1.71451i | − | 0.542176i | ||||||
\(11\) | 0.152076 | + | 0.0407487i | 0.0458528 | + | 0.0122862i | 0.281673 | − | 0.959511i | \(-0.409111\pi\) |
−0.235820 | + | 0.971797i | \(0.575777\pi\) | |||||||
\(12\) | −0.517020 | + | 2.85618i | −0.149251 | + | 0.824507i | ||||
\(13\) | −1.18613 | + | 3.40486i | −0.328975 | + | 0.944339i | ||||
\(14\) | 2.73876 | + | 1.58123i | 0.731965 | + | 0.422600i | ||||
\(15\) | −0.882637 | − | 1.27281i | −0.227896 | − | 0.328639i | ||||
\(16\) | −2.27164 | − | 3.93459i | −0.567910 | − | 0.983648i | ||||
\(17\) | 5.15787 | 1.25097 | 0.625483 | − | 0.780238i | \(-0.284902\pi\) | ||||
0.625483 | + | 0.780238i | \(0.284902\pi\) | |||||||
\(18\) | 2.38328 | + | 5.23472i | 0.561746 | + | 1.23383i | ||||
\(19\) | 1.74747 | − | 1.74747i | 0.400898 | − | 0.400898i | −0.477652 | − | 0.878549i | \(-0.658512\pi\) |
0.878549 | + | 0.477652i | \(0.158512\pi\) | |||||||
\(20\) | −1.44755 | − | 0.387869i | −0.323681 | − | 0.0867302i | ||||
\(21\) | 2.84721 | − | 0.236061i | 0.621313 | − | 0.0515126i | ||||
\(22\) | 0.150926 | − | 0.261412i | 0.0321776 | − | 0.0557332i | ||||
\(23\) | 1.40195 | − | 2.42824i | 0.292326 | − | 0.506324i | −0.682033 | − | 0.731321i | \(-0.738904\pi\) |
0.974359 | + | 0.224998i | \(0.0722374\pi\) | |||||||
\(24\) | −0.973605 | − | 0.459400i | −0.198736 | − | 0.0937746i | ||||
\(25\) | −3.63757 | + | 2.10015i | −0.727513 | + | 0.420030i | ||||
\(26\) | 5.71692 | + | 3.88617i | 1.12118 | + | 0.762141i | ||||
\(27\) | 4.46415 | + | 2.65921i | 0.859126 | + | 0.511765i | ||||
\(28\) | 1.95460 | − | 1.95460i | 0.369384 | − | 0.369384i | ||||
\(29\) | −0.0404891 | + | 0.0233764i | −0.00751865 | + | 0.00434089i | −0.503755 | − | 0.863847i | \(-0.668048\pi\) |
0.496236 | + | 0.868188i | \(0.334715\pi\) | |||||||
\(30\) | −2.79512 | + | 1.00297i | −0.510316 | + | 0.183117i | ||||
\(31\) | −0.805043 | − | 3.00446i | −0.144590 | − | 0.539617i | −0.999773 | − | 0.0212914i | \(-0.993222\pi\) |
0.855183 | − | 0.518326i | \(-0.173444\pi\) | |||||||
\(32\) | −7.21302 | + | 1.93272i | −1.27509 | + | 0.341660i | ||||
\(33\) | −0.0225317 | − | 0.271763i | −0.00392227 | − | 0.0473079i | ||||
\(34\) | 2.55943 | − | 9.55192i | 0.438938 | − | 1.63814i | ||||
\(35\) | 1.47506i | 0.249331i | ||||||||
\(36\) | 4.95879 | − | 0.827951i | 0.826466 | − | 0.137992i | ||||
\(37\) | 6.09684 | + | 6.09684i | 1.00232 | + | 1.00232i | 0.999997 | + | 0.00231781i | \(0.000737784\pi\) |
0.00231781 | + | 0.999997i | \(0.499262\pi\) | |||||||
\(38\) | −2.36904 | − | 4.10329i | −0.384309 | − | 0.665642i | ||||
\(39\) | 6.24473 | − | 0.0580898i | 0.999957 | − | 0.00930181i | ||||
\(40\) | 0.277911 | − | 0.481356i | 0.0439416 | − | 0.0761091i | ||||
\(41\) | −8.85594 | + | 2.37294i | −1.38307 | + | 0.370591i | −0.872234 | − | 0.489089i | \(-0.837329\pi\) |
−0.510832 | + | 0.859680i | \(0.670663\pi\) | |||||||
\(42\) | 0.975677 | − | 5.38993i | 0.150550 | − | 0.831684i | ||||
\(43\) | −8.93688 | + | 5.15971i | −1.36286 | + | 0.786849i | −0.990004 | − | 0.141040i | \(-0.954955\pi\) |
−0.372858 | + | 0.927888i | \(0.621622\pi\) | |||||||
\(44\) | −0.186564 | − | 0.186564i | −0.0281256 | − | 0.0281256i | ||||
\(45\) | −1.55870 | + | 2.18352i | −0.232357 | + | 0.325500i | ||||
\(46\) | −3.80122 | − | 3.80122i | −0.560459 | − | 0.560459i | ||||
\(47\) | −2.53127 | − | 0.678251i | −0.369224 | − | 0.0989331i | 0.0694362 | − | 0.997586i | \(-0.477880\pi\) |
−0.438660 | + | 0.898653i | \(0.644547\pi\) | |||||||
\(48\) | −5.08557 | + | 6.00509i | −0.734039 | + | 0.866760i | ||||
\(49\) | 3.70591 | + | 2.13961i | 0.529415 | + | 0.305658i | ||||
\(50\) | 2.08427 | + | 7.77859i | 0.294760 | + | 1.10006i | ||||
\(51\) | −3.01730 | − | 8.40872i | −0.422507 | − | 1.17746i | ||||
\(52\) | 4.57439 | − | 3.94759i | 0.634354 | − | 0.547433i | ||||
\(53\) | 9.99621i | 1.37309i | 0.727089 | + | 0.686543i | \(0.240873\pi\) | ||||
−0.727089 | + | 0.686543i | \(0.759127\pi\) | |||||||
\(54\) | 7.13981 | − | 6.94766i | 0.971606 | − | 0.945457i | ||||
\(55\) | 0.140793 | 0.0189845 | ||||||||
\(56\) | 0.512613 | + | 0.887872i | 0.0685008 | + | 0.118647i | ||||
\(57\) | −3.87111 | − | 1.82660i | −0.512741 | − | 0.241939i | ||||
\(58\) | 0.0231996 | + | 0.0865822i | 0.00304626 | + | 0.0113688i | ||||
\(59\) | −2.52790 | − | 9.43427i | −0.329105 | − | 1.22824i | −0.910120 | − | 0.414344i | \(-0.864011\pi\) |
0.581015 | − | 0.813893i | \(-0.302656\pi\) | |||||||
\(60\) | 0.214469 | + | 2.58680i | 0.0276879 | + | 0.333954i | ||||
\(61\) | 2.03036 | + | 3.51668i | 0.259961 | + | 0.450265i | 0.966231 | − | 0.257677i | \(-0.0829570\pi\) |
−0.706270 | + | 0.707942i | \(0.749624\pi\) | |||||||
\(62\) | −5.96347 | −0.757362 | ||||||||
\(63\) | −2.05044 | − | 4.50364i | −0.258331 | − | 0.567405i | ||||
\(64\) | 5.23038i | 0.653797i | ||||||||
\(65\) | −0.236509 | + | 3.21561i | −0.0293354 | + | 0.398848i | ||||
\(66\) | −0.514463 | − | 0.0931273i | −0.0633260 | − | 0.0114632i | ||||
\(67\) | 1.56137 | + | 5.82710i | 0.190751 | + | 0.711893i | 0.993326 | + | 0.115341i | \(0.0367962\pi\) |
−0.802575 | + | 0.596552i | \(0.796537\pi\) | |||||||
\(68\) | −7.48559 | − | 4.32181i | −0.907761 | − | 0.524096i | ||||
\(69\) | −4.77882 | − | 0.865055i | −0.575302 | − | 0.104140i | ||||
\(70\) | 2.73169 | + | 0.731954i | 0.326499 | + | 0.0874852i | ||||
\(71\) | −10.2428 | − | 10.2428i | −1.21559 | − | 1.21559i | −0.969160 | − | 0.246432i | \(-0.920742\pi\) |
−0.246432 | − | 0.969160i | \(-0.579258\pi\) | |||||||
\(72\) | −0.179397 | + | 1.85598i | −0.0211421 | + | 0.218730i | ||||
\(73\) | −10.2825 | − | 10.2825i | −1.20348 | − | 1.20348i | −0.973102 | − | 0.230375i | \(-0.926005\pi\) |
−0.230375 | − | 0.973102i | \(-0.573995\pi\) | |||||||
\(74\) | 14.3162 | − | 8.26546i | 1.66422 | − | 0.960840i | ||||
\(75\) | 5.55176 | + | 4.70165i | 0.641062 | + | 0.542900i | ||||
\(76\) | −4.00032 | + | 1.07188i | −0.458868 | + | 0.122953i | ||||
\(77\) | −0.129848 | + | 0.224903i | −0.0147975 | + | 0.0256301i | ||||
\(78\) | 2.99117 | − | 11.5935i | 0.338684 | − | 1.31271i | ||||
\(79\) | 3.37555 | + | 5.84662i | 0.379779 | + | 0.657796i | 0.991030 | − | 0.133641i | \(-0.0426668\pi\) |
−0.611251 | + | 0.791437i | \(0.709333\pi\) | |||||||
\(80\) | −2.87288 | − | 2.87288i | −0.321198 | − | 0.321198i | ||||
\(81\) | 1.72375 | − | 8.83338i | 0.191528 | − | 0.981487i | ||||
\(82\) | 17.5779i | 1.94116i | ||||||||
\(83\) | 3.35545 | − | 12.5227i | 0.368309 | − | 1.37455i | −0.494570 | − | 0.869138i | \(-0.664675\pi\) |
0.862879 | − | 0.505410i | \(-0.168659\pi\) | |||||||
\(84\) | −4.32995 | − | 2.04311i | −0.472436 | − | 0.222921i | ||||
\(85\) | 4.45530 | − | 1.19380i | 0.483246 | − | 0.129485i | ||||
\(86\) | 5.12069 | + | 19.1107i | 0.552178 | + | 2.06076i | ||||
\(87\) | 0.0617957 | + | 0.0523333i | 0.00662519 | + | 0.00561072i | ||||
\(88\) | 0.0847464 | − | 0.0489283i | 0.00903399 | − | 0.00521578i | ||||
\(89\) | 7.53200 | − | 7.53200i | 0.798391 | − | 0.798391i | −0.184451 | − | 0.982842i | \(-0.559051\pi\) |
0.982842 | + | 0.184451i | \(0.0590507\pi\) | |||||||
\(90\) | 3.27024 | + | 3.97007i | 0.344713 | + | 0.418482i | ||||
\(91\) | −4.91850 | − | 3.34343i | −0.515599 | − | 0.350487i | ||||
\(92\) | −4.06928 | + | 2.34940i | −0.424252 | + | 0.244942i | ||||
\(93\) | −4.42714 | + | 3.07002i | −0.459073 | + | 0.318346i | ||||
\(94\) | −2.51212 | + | 4.35113i | −0.259106 | + | 0.448785i | ||||
\(95\) | 1.10499 | − | 1.91390i | 0.113370 | − | 0.196362i | ||||
\(96\) | 7.37041 | + | 10.6286i | 0.752239 | + | 1.08477i | ||||
\(97\) | 10.7865 | + | 2.89025i | 1.09521 | + | 0.293460i | 0.760812 | − | 0.648973i | \(-0.224801\pi\) |
0.334396 | + | 0.942433i | \(0.391468\pi\) | |||||||
\(98\) | 5.80131 | − | 5.80131i | 0.586020 | − | 0.586020i | ||||
\(99\) | −0.429867 | + | 0.195712i | −0.0432033 | + | 0.0196698i | ||||
\(100\) | 7.03892 | 0.703892 | ||||||||
\(101\) | 1.63470 | + | 2.83139i | 0.162659 | + | 0.281734i | 0.935822 | − | 0.352474i | \(-0.114660\pi\) |
−0.773162 | + | 0.634208i | \(0.781326\pi\) | |||||||
\(102\) | −17.0695 | + | 1.41522i | −1.69013 | + | 0.140127i | ||||
\(103\) | 6.03263 | + | 3.48294i | 0.594413 | + | 0.343184i | 0.766841 | − | 0.641838i | \(-0.221828\pi\) |
−0.172428 | + | 0.985022i | \(0.555161\pi\) | |||||||
\(104\) | 0.975127 | + | 2.01774i | 0.0956191 | + | 0.197855i | ||||
\(105\) | 2.40475 | − | 0.862898i | 0.234680 | − | 0.0842102i | ||||
\(106\) | 18.5121 | + | 4.96031i | 1.79806 | + | 0.481788i | ||||
\(107\) | 9.71750i | 0.939426i | 0.882819 | + | 0.469713i | \(0.155643\pi\) | ||||
−0.882819 | + | 0.469713i | \(0.844357\pi\) | |||||||
\(108\) | −4.25063 | − | 7.59984i | −0.409017 | − | 0.731295i | ||||
\(109\) | −0.863877 | + | 0.863877i | −0.0827444 | + | 0.0827444i | −0.747268 | − | 0.664523i | \(-0.768635\pi\) |
0.664523 | + | 0.747268i | \(0.268635\pi\) | |||||||
\(110\) | 0.0698642 | − | 0.260737i | 0.00666129 | − | 0.0248603i | ||||
\(111\) | 6.37292 | − | 13.5061i | 0.604891 | − | 1.28194i | ||||
\(112\) | 7.23869 | − | 1.93960i | 0.683992 | − | 0.183275i | ||||
\(113\) | −10.2549 | − | 5.92069i | −0.964703 | − | 0.556971i | −0.0670855 | − | 0.997747i | \(-0.521370\pi\) |
−0.897617 | + | 0.440776i | \(0.854703\pi\) | |||||||
\(114\) | −5.30362 | + | 6.26256i | −0.496729 | + | 0.586543i | ||||
\(115\) | 0.648965 | − | 2.42197i | 0.0605163 | − | 0.225850i | ||||
\(116\) | 0.0783490 | 0.00727452 | ||||||||
\(117\) | −3.74781 | − | 10.1466i | −0.346485 | − | 0.938055i | ||||
\(118\) | −18.7258 | −1.72385 | ||||||||
\(119\) | −2.20198 | + | 8.21790i | −0.201855 | + | 0.753334i | ||||
\(120\) | −0.947317 | − | 0.171482i | −0.0864778 | − | 0.0156541i | ||||
\(121\) | −9.50481 | − | 5.48761i | −0.864074 | − | 0.498873i | ||||
\(122\) | 7.52009 | − | 2.01500i | 0.680837 | − | 0.182430i | ||||
\(123\) | 9.04918 | + | 13.0494i | 0.815938 | + | 1.17663i | ||||
\(124\) | −1.34910 | + | 5.03491i | −0.121153 | + | 0.452148i | ||||
\(125\) | −5.81769 | + | 5.81769i | −0.520350 | + | 0.520350i | ||||
\(126\) | −9.35781 | + | 1.56244i | −0.833660 | + | 0.139193i | ||||
\(127\) | 5.18340i | 0.459952i | 0.973196 | + | 0.229976i | \(0.0738648\pi\) | ||||
−0.973196 | + | 0.229976i | \(0.926135\pi\) | |||||||
\(128\) | −4.73983 | − | 1.27003i | −0.418946 | − | 0.112256i | ||||
\(129\) | 13.6397 | + | 11.5512i | 1.20091 | + | 1.01702i | ||||
\(130\) | 5.83767 | + | 2.03364i | 0.511998 | + | 0.178362i | ||||
\(131\) | 6.89077 | + | 3.97839i | 0.602050 | + | 0.347594i | 0.769847 | − | 0.638228i | \(-0.220332\pi\) |
−0.167798 | + | 0.985821i | \(0.553666\pi\) | |||||||
\(132\) | −0.195012 | + | 0.413289i | −0.0169736 | + | 0.0359722i | ||||
\(133\) | 2.03818 | + | 3.53023i | 0.176733 | + | 0.306110i | ||||
\(134\) | 11.5660 | 0.999155 | ||||||||
\(135\) | 4.47156 | + | 1.26376i | 0.384850 | + | 0.108767i | ||||
\(136\) | 2.26687 | − | 2.26687i | 0.194383 | − | 0.194383i | ||||
\(137\) | −3.63583 | − | 0.974218i | −0.310630 | − | 0.0832331i | 0.100136 | − | 0.994974i | \(-0.468072\pi\) |
−0.410766 | + | 0.911741i | \(0.634739\pi\) | |||||||
\(138\) | −3.97334 | + | 8.42070i | −0.338234 | + | 0.716818i | ||||
\(139\) | 3.92668 | − | 6.80122i | 0.333057 | − | 0.576872i | −0.650053 | − | 0.759889i | \(-0.725253\pi\) |
0.983110 | + | 0.183018i | \(0.0585865\pi\) | |||||||
\(140\) | 1.23597 | − | 2.14075i | 0.104458 | − | 0.180927i | ||||
\(141\) | 0.375034 | + | 4.52343i | 0.0315836 | + | 0.380941i | ||||
\(142\) | −24.0513 | + | 13.8861i | −2.01834 | + | 1.16529i | ||||
\(143\) | −0.319127 | + | 0.469466i | −0.0266867 | + | 0.0392587i | ||||
\(144\) | 12.7649 | + | 4.77794i | 1.06374 | + | 0.398162i | ||||
\(145\) | −0.0295635 | + | 0.0295635i | −0.00245512 | + | 0.00245512i | ||||
\(146\) | −24.1447 | + | 13.9399i | −1.99823 | + | 1.15368i | ||||
\(147\) | 1.32022 | − | 7.29329i | 0.108890 | − | 0.601540i | ||||
\(148\) | −3.73974 | − | 13.9569i | −0.307405 | − | 1.14725i | ||||
\(149\) | −2.43052 | + | 0.651256i | −0.199116 | + | 0.0533530i | −0.356999 | − | 0.934105i | \(-0.616200\pi\) |
0.157883 | + | 0.987458i | \(0.449533\pi\) | |||||||
\(150\) | 11.4619 | − | 7.94832i | 0.935863 | − | 0.648978i | ||||
\(151\) | 4.26911 | − | 15.9325i | 0.347415 | − | 1.29657i | −0.542350 | − | 0.840153i | \(-0.682465\pi\) |
0.889765 | − | 0.456419i | \(-0.150868\pi\) | |||||||
\(152\) | − | 1.53602i | − | 0.124588i | ||||||
\(153\) | −11.9434 | + | 9.83805i | −0.965568 | + | 0.795359i | ||||
\(154\) | 0.352068 | + | 0.352068i | 0.0283705 | + | 0.0283705i | ||||
\(155\) | −1.39077 | − | 2.40889i | −0.111710 | − | 0.193487i | ||||
\(156\) | −9.11163 | − | 5.14819i | −0.729514 | − | 0.412185i | ||||
\(157\) | 7.99721 | − | 13.8516i | 0.638247 | − | 1.10548i | −0.347571 | − | 0.937654i | \(-0.612993\pi\) |
0.985817 | − | 0.167822i | \(-0.0536733\pi\) | |||||||
\(158\) | 12.5024 | − | 3.35002i | 0.994640 | − | 0.266513i | ||||
\(159\) | 16.2965 | − | 5.84769i | 1.29240 | − | 0.463752i | ||||
\(160\) | −5.78319 | + | 3.33893i | −0.457201 | + | 0.263965i | ||||
\(161\) | 3.27034 | + | 3.27034i | 0.257739 | + | 0.257739i | ||||
\(162\) | −15.5033 | − | 7.57552i | −1.21805 | − | 0.595189i | ||||
\(163\) | −2.51793 | − | 2.51793i | −0.197219 | − | 0.197219i | 0.601588 | − | 0.798807i | \(-0.294535\pi\) |
−0.798807 | + | 0.601588i | \(0.794535\pi\) | |||||||
\(164\) | 14.8409 | + | 3.97661i | 1.15888 | + | 0.310521i | ||||
\(165\) | −0.0823626 | − | 0.229531i | −0.00641192 | − | 0.0178690i | ||||
\(166\) | −21.5260 | − | 12.4280i | −1.67074 | − | 0.964601i | ||||
\(167\) | −2.00349 | − | 7.47713i | −0.155035 | − | 0.578598i | −0.999102 | − | 0.0423611i | \(-0.986512\pi\) |
0.844067 | − | 0.536237i | \(-0.180155\pi\) | |||||||
\(168\) | 1.14760 | − | 1.35510i | 0.0885391 | − | 0.104548i | ||||
\(169\) | −10.1862 | − | 8.07725i | −0.783551 | − | 0.621327i | ||||
\(170\) | − | 8.84322i | − | 0.678244i | ||||||
\(171\) | −0.713292 | + | 7.37950i | −0.0545468 | + | 0.564325i | ||||
\(172\) | 17.2934 | 1.31861 | ||||||||
\(173\) | 2.63389 | + | 4.56203i | 0.200251 | + | 0.346844i | 0.948609 | − | 0.316450i | \(-0.102491\pi\) |
−0.748358 | + | 0.663295i | \(0.769158\pi\) | |||||||
\(174\) | 0.127581 | − | 0.0884714i | 0.00967188 | − | 0.00670700i | ||||
\(175\) | −1.79318 | − | 6.69224i | −0.135552 | − | 0.505886i | ||||
\(176\) | −0.185133 | − | 0.690925i | −0.0139549 | − | 0.0520804i | ||||
\(177\) | −13.9016 | + | 9.64013i | −1.04491 | + | 0.724596i | ||||
\(178\) | −10.2111 | − | 17.6861i | −0.765354 | − | 1.32563i | ||||
\(179\) | −21.9573 | −1.64117 | −0.820584 | − | 0.571526i | \(-0.806352\pi\) | ||||
−0.820584 | + | 0.571526i | \(0.806352\pi\) | |||||||
\(180\) | 4.09172 | − | 1.86289i | 0.304979 | − | 0.138852i | ||||
\(181\) | − | 23.4007i | − | 1.73936i | −0.493617 | − | 0.869680i | \(-0.664325\pi\) | ||
0.493617 | − | 0.869680i | \(-0.335675\pi\) | |||||||
\(182\) | −8.63240 | + | 7.44956i | −0.639876 | + | 0.552198i | ||||
\(183\) | 4.54541 | − | 5.36726i | 0.336006 | − | 0.396759i | ||||
\(184\) | −0.451056 | − | 1.68336i | −0.0332523 | − | 0.124099i | ||||
\(185\) | 6.67751 | + | 3.85526i | 0.490940 | + | 0.283444i | ||||
\(186\) | 3.48858 | + | 9.72208i | 0.255795 | + | 0.712858i | ||||
\(187\) | 0.784390 | + | 0.210177i | 0.0573602 | + | 0.0153696i | ||||
\(188\) | 3.10531 | + | 3.10531i | 0.226478 | + | 0.226478i | ||||
\(189\) | −6.14267 | + | 5.97736i | −0.446814 | + | 0.434789i | ||||
\(190\) | −2.99606 | − | 2.99606i | −0.217357 | − | 0.217357i | ||||
\(191\) | 17.1768 | − | 9.91705i | 1.24287 | − | 0.717572i | 0.273194 | − | 0.961959i | \(-0.411920\pi\) |
0.969678 | + | 0.244387i | \(0.0785866\pi\) | |||||||
\(192\) | 8.52694 | − | 3.05972i | 0.615379 | − | 0.220816i | ||||
\(193\) | −7.19953 | + | 1.92911i | −0.518234 | + | 0.138860i | −0.508449 | − | 0.861092i | \(-0.669781\pi\) |
−0.00978418 | + | 0.999952i | \(0.503114\pi\) | |||||||
\(194\) | 10.7050 | − | 18.5415i | 0.768572 | − | 1.33121i | ||||
\(195\) | 5.38068 | − | 1.49553i | 0.385318 | − | 0.107097i | ||||
\(196\) | −3.58558 | − | 6.21041i | −0.256113 | − | 0.443601i | ||||
\(197\) | 6.47046 | + | 6.47046i | 0.461001 | + | 0.461001i | 0.898984 | − | 0.437982i | \(-0.144307\pi\) |
−0.437982 | + | 0.898984i | \(0.644307\pi\) | |||||||
\(198\) | 0.149133 | + | 0.893193i | 0.0105984 | + | 0.0634764i | ||||
\(199\) | 6.72878i | 0.476990i | 0.971144 | + | 0.238495i | \(0.0766541\pi\) | ||||
−0.971144 | + | 0.238495i | \(0.923346\pi\) | |||||||
\(200\) | −0.675692 | + | 2.52172i | −0.0477787 | + | 0.178312i | ||||
\(201\) | 8.58637 | − | 5.95425i | 0.605636 | − | 0.419980i | ||||
\(202\) | 6.05466 | − | 1.62234i | 0.426004 | − | 0.114148i | ||||
\(203\) | −0.0199596 | − | 0.0744902i | −0.00140089 | − | 0.00522818i | ||||
\(204\) | −2.66672 | + | 14.7318i | −0.186708 | + | 1.03143i | ||||
\(205\) | −7.10044 | + | 4.09944i | −0.495916 | + | 0.286317i | ||||
\(206\) | 9.44361 | − | 9.44361i | 0.657967 | − | 0.657967i | ||||
\(207\) | 1.38529 | + | 8.29683i | 0.0962843 | + | 0.576669i | ||||
\(208\) | 16.0912 | − | 3.06766i | 1.11573 | − | 0.212704i | ||||
\(209\) | 0.336957 | − | 0.194542i | 0.0233078 | − | 0.0134567i | ||||
\(210\) | −0.404728 | − | 4.88158i | −0.0279289 | − | 0.336861i | ||||
\(211\) | −13.2917 | + | 23.0219i | −0.915037 | + | 1.58489i | −0.108190 | + | 0.994130i | \(0.534505\pi\) |
−0.806847 | + | 0.590760i | \(0.798828\pi\) | |||||||
\(212\) | 8.37589 | − | 14.5075i | 0.575259 | − | 0.996377i | ||||
\(213\) | −10.7066 | + | 22.6904i | −0.733602 | + | 1.55472i | ||||
\(214\) | 17.9960 | + | 4.82200i | 1.23018 | + | 0.329625i | ||||
\(215\) | −6.52535 | + | 6.52535i | −0.445025 | + | 0.445025i | ||||
\(216\) | 3.13070 | − | 0.793268i | 0.213017 | − | 0.0539750i | ||||
\(217\) | 5.13062 | 0.348289 | ||||||||
\(218\) | 1.17115 | + | 2.02850i | 0.0793205 | + | 0.137387i | ||||
\(219\) | −10.7481 | + | 22.7785i | −0.726290 | + | 1.53923i | ||||
\(220\) | −0.204333 | − | 0.117971i | −0.0137761 | − | 0.00795363i | ||||
\(221\) | −6.11792 | + | 17.5618i | −0.411536 | + | 1.18134i | ||||
\(222\) | −21.8498 | − | 18.5041i | −1.46646 | − | 1.24191i | ||||
\(223\) | −2.58261 | − | 0.692009i | −0.172944 | − | 0.0463403i | 0.171308 | − | 0.985218i | \(-0.445201\pi\) |
−0.344252 | + | 0.938877i | \(0.611867\pi\) | |||||||
\(224\) | − | 12.3174i | − | 0.822994i | ||||||
\(225\) | 4.41725 | − | 11.8013i | 0.294483 | − | 0.786753i | ||||
\(226\) | −16.0533 | + | 16.0533i | −1.06785 | + | 1.06785i | ||||
\(227\) | −2.70824 | + | 10.1073i | −0.179752 | + | 0.670844i | 0.815941 | + | 0.578135i | \(0.196219\pi\) |
−0.995693 | + | 0.0927088i | \(0.970447\pi\) | |||||||
\(228\) | 4.08761 | + | 5.89457i | 0.270708 | + | 0.390377i | ||||
\(229\) | 0.130883 | − | 0.0350700i | 0.00864898 | − | 0.00231749i | −0.254492 | − | 0.967075i | \(-0.581908\pi\) |
0.263141 | + | 0.964757i | \(0.415242\pi\) | |||||||
\(230\) | −4.16325 | − | 2.40365i | −0.274516 | − | 0.158492i | ||||
\(231\) | 0.442613 | + | 0.0801212i | 0.0291218 | + | 0.00527159i | ||||
\(232\) | −0.00752102 | + | 0.0280688i | −0.000493779 | + | 0.00184281i | ||||
\(233\) | 13.0888 | 0.857473 | 0.428736 | − | 0.903430i | \(-0.358959\pi\) | ||||
0.428736 | + | 0.903430i | \(0.358959\pi\) | |||||||
\(234\) | −20.6504 | + | 1.90567i | −1.34996 | + | 0.124578i | ||||
\(235\) | −2.34346 | −0.152871 | ||||||||
\(236\) | −4.23629 | + | 15.8101i | −0.275759 | + | 1.02915i | ||||
\(237\) | 7.55692 | − | 8.92328i | 0.490874 | − | 0.579629i | ||||
\(238\) | 14.1262 | + | 8.15575i | 0.915664 | + | 0.528659i | ||||
\(239\) | 7.65834 | − | 2.05204i | 0.495377 | − | 0.132736i | −0.00247687 | − | 0.999997i | \(-0.500788\pi\) |
0.497853 | + | 0.867261i | \(0.334122\pi\) | |||||||
\(240\) | −3.00297 | + | 6.36419i | −0.193841 | + | 0.410806i | ||||
\(241\) | −1.31099 | + | 4.89269i | −0.0844484 | + | 0.315166i | −0.995209 | − | 0.0977687i | \(-0.968829\pi\) |
0.910761 | + | 0.412934i | \(0.135496\pi\) | |||||||
\(242\) | −14.8790 | + | 14.8790i | −0.956460 | + | 0.956460i | ||||
\(243\) | −15.4092 | + | 2.35727i | −0.988500 | + | 0.151219i | ||||
\(244\) | − | 6.80500i | − | 0.435646i | ||||||
\(245\) | 3.69634 | + | 0.990430i | 0.236150 | + | 0.0632763i | ||||
\(246\) | 28.6568 | − | 10.2829i | 1.82709 | − | 0.655615i | ||||
\(247\) | 3.87716 | + | 8.02264i | 0.246698 | + | 0.510468i | ||||
\(248\) | −1.67427 | − | 0.966641i | −0.106316 | − | 0.0613817i | ||||
\(249\) | −22.3784 | + | 1.85537i | −1.41817 | + | 0.117580i | ||||
\(250\) | 7.88701 | + | 13.6607i | 0.498818 | + | 0.863978i | ||||
\(251\) | −25.3177 | −1.59804 | −0.799019 | − | 0.601306i | \(-0.794647\pi\) | ||||
−0.799019 | + | 0.601306i | \(0.794647\pi\) | |||||||
\(252\) | −0.797838 | + | 8.25419i | −0.0502591 | + | 0.519965i | ||||
\(253\) | 0.312151 | − | 0.312151i | 0.0196247 | − | 0.0196247i | ||||
\(254\) | 9.59920 | + | 2.57210i | 0.602307 | + | 0.161388i | ||||
\(255\) | −4.55252 | − | 6.56500i | −0.285090 | − | 0.411116i | ||||
\(256\) | −9.93436 | + | 17.2068i | −0.620898 | + | 1.07543i | ||||
\(257\) | 13.1340 | − | 22.7488i | 0.819277 | − | 1.41903i | −0.0869379 | − | 0.996214i | \(-0.527708\pi\) |
0.906215 | − | 0.422816i | \(-0.138958\pi\) | |||||||
\(258\) | 28.1600 | − | 19.5277i | 1.75317 | − | 1.21574i | ||||
\(259\) | −12.3168 | + | 7.11111i | −0.765329 | + | 0.441863i | ||||
\(260\) | 3.03763 | − | 4.46863i | 0.188386 | − | 0.277133i | ||||
\(261\) | 0.0491677 | − | 0.131358i | 0.00304340 | − | 0.00813087i | ||||
\(262\) | 10.7870 | − | 10.7870i | 0.666421 | − | 0.666421i | ||||
\(263\) | 11.0260 | − | 6.36588i | 0.679894 | − | 0.392537i | −0.119921 | − | 0.992783i | \(-0.538264\pi\) |
0.799815 | + | 0.600246i | \(0.204931\pi\) | |||||||
\(264\) | −0.129342 | − | 0.109537i | −0.00796047 | − | 0.00674154i | ||||
\(265\) | 2.31364 | + | 8.63461i | 0.142126 | + | 0.530420i | ||||
\(266\) | 7.54906 | − | 2.02276i | 0.462863 | − | 0.124024i | ||||
\(267\) | −16.6854 | − | 7.87306i | −1.02113 | − | 0.481824i | ||||
\(268\) | 2.61656 | − | 9.76512i | 0.159832 | − | 0.596500i | ||||
\(269\) | 14.5049i | 0.884382i | 0.896921 | + | 0.442191i | \(0.145799\pi\) | ||||
−0.896921 | + | 0.442191i | \(0.854201\pi\) | |||||||
\(270\) | 4.55924 | − | 7.65383i | 0.277467 | − | 0.465797i | ||||
\(271\) | 14.0621 | + | 14.0621i | 0.854214 | + | 0.854214i | 0.990649 | − | 0.136435i | \(-0.0435644\pi\) |
−0.136435 | + | 0.990649i | \(0.543564\pi\) | |||||||
\(272\) | −11.7168 | − | 20.2941i | −0.710436 | − | 1.23051i | ||||
\(273\) | −2.57343 | + | 9.97437i | −0.155751 | + | 0.603676i | ||||
\(274\) | −3.60833 | + | 6.24982i | −0.217987 | + | 0.377565i | ||||
\(275\) | −0.638766 | + | 0.171157i | −0.0385191 | + | 0.0103212i | ||||
\(276\) | 6.21065 | + | 5.25966i | 0.373837 | + | 0.316594i | ||||
\(277\) | 20.9224 | − | 12.0795i | 1.25710 | − | 0.725790i | 0.284594 | − | 0.958648i | \(-0.408141\pi\) |
0.972511 | + | 0.232859i | \(0.0748080\pi\) | |||||||
\(278\) | −10.6468 | − | 10.6468i | −0.638551 | − | 0.638551i | ||||
\(279\) | 7.59480 | + | 5.42152i | 0.454689 | + | 0.324578i | ||||
\(280\) | 0.648288 | + | 0.648288i | 0.0387426 | + | 0.0387426i | ||||
\(281\) | 14.3129 | + | 3.83512i | 0.853835 | + | 0.228784i | 0.659085 | − | 0.752069i | \(-0.270944\pi\) |
0.194750 | + | 0.980853i | \(0.437611\pi\) | |||||||
\(282\) | 8.56309 | + | 1.55008i | 0.509925 | + | 0.0923058i | ||||
\(283\) | 16.3464 | + | 9.43763i | 0.971695 | + | 0.561009i | 0.899753 | − | 0.436400i | \(-0.143747\pi\) |
0.0719427 | + | 0.997409i | \(0.477080\pi\) | |||||||
\(284\) | 6.28281 | + | 23.4478i | 0.372816 | + | 1.39137i | ||||
\(285\) | −3.76659 | − | 0.681822i | −0.223113 | − | 0.0403876i | ||||
\(286\) | 0.711052 | + | 0.823953i | 0.0420454 | + | 0.0487213i | ||||
\(287\) | − | 15.1230i | − | 0.892683i | ||||||
\(288\) | 13.0158 | − | 18.2334i | 0.766964 | − | 1.07441i | ||||
\(289\) | 9.60358 | 0.564917 | ||||||||
\(290\) | 0.0400791 | + | 0.0694191i | 0.00235353 | + | 0.00407643i | ||||
\(291\) | −1.59814 | − | 19.2758i | −0.0936846 | − | 1.12997i | ||||
\(292\) | 6.30719 | + | 23.5387i | 0.369100 | + | 1.37750i | ||||
\(293\) | 2.46308 | + | 9.19234i | 0.143895 | + | 0.537022i | 0.999802 | + | 0.0198933i | \(0.00633264\pi\) |
−0.855907 | + | 0.517129i | \(0.827001\pi\) | |||||||
\(294\) | −12.8514 | − | 6.06400i | −0.749510 | − | 0.353659i | ||||
\(295\) | −4.36715 | − | 7.56412i | −0.254265 | − | 0.440400i | ||||
\(296\) | 5.35911 | 0.311492 | ||||||||
\(297\) | 0.570532 | + | 0.586311i | 0.0331056 | + | 0.0340212i | ||||
\(298\) | 4.82428i | 0.279463i | ||||||||
\(299\) | 6.60493 | + | 7.65366i | 0.381973 | + | 0.442622i | ||||
\(300\) | −4.11770 | − | 11.4753i | −0.237736 | − | 0.662530i | ||||
\(301\) | −4.40554 | − | 16.4417i | −0.253931 | − | 0.947683i | ||||
\(302\) | −27.3873 | − | 15.8120i | −1.57596 | − | 0.909881i | ||||
\(303\) | 3.65965 | − | 4.32135i | 0.210241 | − | 0.248255i | ||||
\(304\) | −10.8452 | − | 2.90597i | −0.622016 | − | 0.166669i | ||||
\(305\) | 2.56774 | + | 2.56774i | 0.147028 | + | 0.147028i | ||||
\(306\) | 12.2927 | + | 27.0000i | 0.702725 | + | 1.54349i | ||||
\(307\) | 4.59206 | + | 4.59206i | 0.262083 | + | 0.262083i | 0.825900 | − | 0.563817i | \(-0.190668\pi\) |
−0.563817 | + | 0.825900i | \(0.690668\pi\) | |||||||
\(308\) | 0.376896 | − | 0.217601i | 0.0214756 | − | 0.0123990i | ||||
\(309\) | 2.14911 | − | 11.8723i | 0.122259 | − | 0.675393i | ||||
\(310\) | −5.15118 | + | 1.38025i | −0.292567 | + | 0.0783932i | ||||
\(311\) | −2.96113 | + | 5.12883i | −0.167910 | + | 0.290829i | −0.937685 | − | 0.347487i | \(-0.887035\pi\) |
0.769775 | + | 0.638316i | \(0.220369\pi\) | |||||||
\(312\) | 2.71902 | − | 2.77008i | 0.153934 | − | 0.156825i | ||||
\(313\) | 5.58996 | + | 9.68210i | 0.315963 | + | 0.547265i | 0.979642 | − | 0.200753i | \(-0.0643390\pi\) |
−0.663678 | + | 0.748018i | \(0.731006\pi\) | |||||||
\(314\) | −21.6835 | − | 21.6835i | −1.22367 | − | 1.22367i | ||||
\(315\) | −2.81352 | − | 3.41562i | −0.158524 | − | 0.192448i | ||||
\(316\) | − | 11.3136i | − | 0.636438i | ||||||
\(317\) | 3.30676 | − | 12.3410i | 0.185726 | − | 0.693138i | −0.808748 | − | 0.588155i | \(-0.799854\pi\) |
0.994474 | − | 0.104983i | \(-0.0334789\pi\) | |||||||
\(318\) | −2.74276 | − | 33.0815i | −0.153807 | − | 1.85512i | ||||
\(319\) | −0.00711000 | + | 0.00190512i | −0.000398084 | + | 0.000106666i | ||||
\(320\) | 1.21058 | + | 4.51794i | 0.0676734 | + | 0.252561i | ||||
\(321\) | 15.8422 | − | 5.68464i | 0.884223 | − | 0.317286i | ||||
\(322\) | 7.67920 | − | 4.43359i | 0.427945 | − | 0.247074i | ||||
\(323\) | 9.01323 | − | 9.01323i | 0.501509 | − | 0.501509i | ||||
\(324\) | −9.90322 | + | 11.3755i | −0.550179 | + | 0.631973i | ||||
\(325\) | −2.83608 | − | 14.8765i | −0.157317 | − | 0.825198i | ||||
\(326\) | −5.91242 | + | 3.41354i | −0.327459 | + | 0.189058i | ||||
\(327\) | 1.91371 | + | 0.902994i | 0.105829 | + | 0.0499357i | ||||
\(328\) | −2.84927 | + | 4.93508i | −0.157325 | + | 0.272494i | ||||
\(329\) | 2.16128 | − | 3.74345i | 0.119155 | − | 0.206383i | ||||
\(330\) | −0.465941 | + | 0.0386309i | −0.0256492 | + | 0.00212656i | ||||
\(331\) | −12.0489 | − | 3.22850i | −0.662269 | − | 0.177454i | −0.0879992 | − | 0.996121i | \(-0.528047\pi\) |
−0.574270 | + | 0.818666i | \(0.694714\pi\) | |||||||
\(332\) | −15.3626 | + | 15.3626i | −0.843134 | + | 0.843134i | ||||
\(333\) | −25.7467 | − | 2.48864i | −1.41091 | − | 0.136377i | ||||
\(334\) | −14.8412 | −0.812073 | ||||||||
\(335\) | 2.69738 | + | 4.67200i | 0.147374 | + | 0.255258i | ||||
\(336\) | −7.39664 | − | 10.6664i | −0.403520 | − | 0.581899i | ||||
\(337\) | 4.45593 | + | 2.57263i | 0.242730 | + | 0.140140i | 0.616431 | − | 0.787409i | \(-0.288578\pi\) |
−0.373701 | + | 0.927549i | \(0.621911\pi\) | |||||||
\(338\) | −20.0129 | + | 14.8558i | −1.08856 | + | 0.808050i | ||||
\(339\) | −3.65329 | + | 20.1819i | −0.198420 | + | 1.09613i | ||||
\(340\) | −7.46626 | − | 2.00058i | −0.404915 | − | 0.108497i | ||||
\(341\) | − | 0.489712i | − | 0.0265194i | ||||||
\(342\) | 13.3122 | + | 4.98280i | 0.719844 | + | 0.269439i | ||||
\(343\) | −13.1556 | + | 13.1556i | −0.710336 | + | 0.710336i | ||||
\(344\) | −1.66006 | + | 6.19543i | −0.0895045 | + | 0.334035i | ||||
\(345\) | −4.32811 | + | 0.358840i | −0.233017 | + | 0.0193193i | ||||
\(346\) | 9.75546 | − | 2.61397i | 0.524457 | − | 0.140528i | ||||
\(347\) | 11.8665 | + | 6.85111i | 0.637026 | + | 0.367787i | 0.783468 | − | 0.621432i | \(-0.213449\pi\) |
−0.146442 | + | 0.989219i | \(0.546782\pi\) | |||||||
\(348\) | −0.0458334 | − | 0.127730i | −0.00245693 | − | 0.00684706i | ||||
\(349\) | 8.91571 | − | 33.2739i | 0.477247 | − | 1.78111i | −0.135441 | − | 0.990785i | \(-0.543245\pi\) |
0.612688 | − | 0.790325i | \(-0.290088\pi\) | |||||||
\(350\) | −13.2832 | −0.710019 | ||||||||
\(351\) | −14.3493 | + | 12.0456i | −0.765910 | + | 0.642948i | ||||
\(352\) | −1.17569 | −0.0626643 | ||||||||
\(353\) | −2.76012 | + | 10.3009i | −0.146906 | + | 0.548262i | 0.852757 | + | 0.522308i | \(0.174929\pi\) |
−0.999663 | + | 0.0259536i | \(0.991738\pi\) | |||||||
\(354\) | 10.9544 | + | 30.5282i | 0.582221 | + | 1.62255i | ||||
\(355\) | −11.2183 | − | 6.47688i | −0.595404 | − | 0.343757i | ||||
\(356\) | −17.2423 | + | 4.62006i | −0.913839 | + | 0.244862i | ||||
\(357\) | 14.6856 | − | 1.21757i | 0.777242 | − | 0.0644406i | ||||
\(358\) | −10.8956 | + | 40.6631i | −0.575852 | + | 2.14911i | ||||
\(359\) | 21.1363 | − | 21.1363i | 1.11553 | − | 1.11553i | 0.123140 | − | 0.992389i | \(-0.460704\pi\) |
0.992389 | − | 0.123140i | \(-0.0392964\pi\) | |||||||
\(360\) | 0.274609 | + | 1.64470i | 0.0144732 | + | 0.0866833i | ||||
\(361\) | 12.8927i | 0.678562i | ||||||||
\(362\) | −43.3360 | − | 11.6119i | −2.27769 | − | 0.610305i | ||||
\(363\) | −3.38606 | + | 18.7056i | −0.177722 | + | 0.981791i | ||||
\(364\) | 4.33672 | + | 8.97356i | 0.227306 | + | 0.470342i | ||||
\(365\) | −11.2618 | − | 6.50201i | −0.589470 | − | 0.340331i | ||||
\(366\) | −7.68418 | − | 11.0810i | −0.401659 | − | 0.579215i | ||||
\(367\) | −4.69528 | − | 8.13247i | −0.245092 | − | 0.424512i | 0.717066 | − | 0.697006i | \(-0.245485\pi\) |
−0.962157 | + | 0.272494i | \(0.912151\pi\) | |||||||
\(368\) | −12.7389 | −0.664059 | ||||||||
\(369\) | 15.9805 | − | 22.3864i | 0.831909 | − | 1.16539i | ||||
\(370\) | 10.4531 | − | 10.4531i | 0.543431 | − | 0.543431i | ||||
\(371\) | −15.9267 | − | 4.26755i | −0.826874 | − | 0.221560i | ||||
\(372\) | 8.99749 | − | 0.745975i | 0.466498 | − | 0.0386770i | ||||
\(373\) | −0.382313 | + | 0.662186i | −0.0197954 | + | 0.0342867i | −0.875753 | − | 0.482759i | \(-0.839635\pi\) |
0.855958 | + | 0.517045i | \(0.172968\pi\) | |||||||
\(374\) | 0.778457 | − | 1.34833i | 0.0402531 | − | 0.0697203i | ||||
\(375\) | 12.8877 | + | 6.08112i | 0.665518 | + | 0.314028i | ||||
\(376\) | −1.41058 | + | 0.814398i | −0.0727451 | + | 0.0419994i | ||||
\(377\) | −0.0315679 | − | 0.165588i | −0.00162583 | − | 0.00852819i | ||||
\(378\) | 8.02143 | + | 14.3418i | 0.412578 | + | 0.737661i | ||||
\(379\) | −22.7662 | + | 22.7662i | −1.16942 | + | 1.16942i | −0.187072 | + | 0.982346i | \(0.559900\pi\) |
−0.982346 | + | 0.187072i | \(0.940100\pi\) | |||||||
\(380\) | −3.20734 | + | 1.85176i | −0.164533 | + | 0.0949932i | ||||
\(381\) | 8.45035 | − | 3.03224i | 0.432925 | − | 0.155346i | ||||
\(382\) | −9.84204 | − | 36.7310i | −0.503563 | − | 1.87932i | ||||
\(383\) | −11.3689 | + | 3.04630i | −0.580926 | + | 0.155659i | −0.537303 | − | 0.843389i | \(-0.680557\pi\) |
−0.0436231 | + | 0.999048i | \(0.513890\pi\) | |||||||
\(384\) | 0.702256 | + | 8.47017i | 0.0358369 | + | 0.432242i | ||||
\(385\) | −0.0601070 | + | 0.224322i | −0.00306333 | + | 0.0114325i | ||||
\(386\) | 14.2902i | 0.727350i | ||||||||
\(387\) | 10.8524 | − | 28.9938i | 0.551660 | − | 1.47384i | ||||
\(388\) | −13.2327 | − | 13.2327i | −0.671789 | − | 0.671789i | ||||
\(389\) | 10.0177 | + | 17.3512i | 0.507917 | + | 0.879738i | 0.999958 | + | 0.00916629i | \(0.00291776\pi\) |
−0.492041 | + | 0.870572i | \(0.663749\pi\) | |||||||
\(390\) | −0.0995955 | − | 10.7067i | −0.00504322 | − | 0.542152i | ||||
\(391\) | 7.23105 | − | 12.5245i | 0.365690 | − | 0.633394i | ||||
\(392\) | 2.56910 | − | 0.688387i | 0.129759 | − | 0.0347688i | ||||
\(393\) | 2.45482 | − | 13.5612i | 0.123829 | − | 0.684070i | ||||
\(394\) | 15.1935 | − | 8.77196i | 0.765437 | − | 0.441925i | ||||
\(395\) | 4.26897 | + | 4.26897i | 0.214795 | + | 0.214795i | ||||
\(396\) | 0.787853 | + | 0.0761527i | 0.0395911 | + | 0.00382682i | ||||
\(397\) | 17.1150 | + | 17.1150i | 0.858976 | + | 0.858976i | 0.991218 | − | 0.132241i | \(-0.0422174\pi\) |
−0.132241 | + | 0.991218i | \(0.542217\pi\) | |||||||
\(398\) | 12.4611 | + | 3.33894i | 0.624619 | + | 0.167366i | ||||
\(399\) | 4.56292 | − | 5.38794i | 0.228432 | − | 0.269734i | ||||
\(400\) | 16.5265 | + | 9.54156i | 0.826324 | + | 0.477078i | ||||
\(401\) | 1.64375 | + | 6.13455i | 0.0820848 | + | 0.306345i | 0.994746 | − | 0.102372i | \(-0.0326431\pi\) |
−0.912661 | + | 0.408717i | \(0.865976\pi\) | |||||||
\(402\) | −6.76603 | − | 18.8558i | −0.337459 | − | 0.940442i | ||||
\(403\) | 11.1847 | + | 0.822636i | 0.557148 | + | 0.0409784i | ||||
\(404\) | − | 5.47892i | − | 0.272586i | ||||||
\(405\) | −0.555545 | − | 8.02914i | −0.0276053 | − | 0.398971i | ||||
\(406\) | −0.147854 | −0.00733785 | ||||||||
\(407\) | 0.678747 | + | 1.17562i | 0.0336443 | + | 0.0582736i | ||||
\(408\) | −5.02172 | − | 2.36952i | −0.248612 | − | 0.117309i | ||||
\(409\) | −3.57936 | − | 13.3583i | −0.176988 | − | 0.660527i | −0.996205 | − | 0.0870433i | \(-0.972258\pi\) |
0.819217 | − | 0.573484i | \(-0.194409\pi\) | |||||||
\(410\) | 4.06844 | + | 15.1836i | 0.200926 | + | 0.749865i | ||||
\(411\) | 0.538687 | + | 6.49730i | 0.0265715 | + | 0.320488i | ||||
\(412\) | −5.83676 | − | 10.1096i | −0.287556 | − | 0.498062i | ||||
\(413\) | 16.1106 | 0.792750 | ||||||||
\(414\) | 16.0524 | + | 1.55160i | 0.788932 | + | 0.0762571i | ||||
\(415\) | − | 11.5936i | − | 0.569108i | ||||||
\(416\) | 1.97496 | − | 26.8518i | 0.0968304 | − | 1.31652i | ||||
\(417\) | −13.3849 | − | 2.42292i | −0.655462 | − | 0.118651i | ||||
\(418\) | −0.193071 | − | 0.720549i | −0.00944339 | − | 0.0352432i | ||||
\(419\) | 5.56722 | + | 3.21423i | 0.271976 | + | 0.157026i | 0.629785 | − | 0.776769i | \(-0.283143\pi\) |
−0.357809 | + | 0.933795i | \(0.616476\pi\) | |||||||
\(420\) | −4.21304 | − | 0.762638i | −0.205575 | − | 0.0372129i | ||||
\(421\) | −6.69351 | − | 1.79352i | −0.326222 | − | 0.0874108i | 0.0919914 | − | 0.995760i | \(-0.470677\pi\) |
−0.418213 | + | 0.908349i | \(0.637343\pi\) | |||||||
\(422\) | 36.0389 | + | 36.0389i | 1.75435 | + | 1.75435i | ||||
\(423\) | 7.15502 | − | 3.25757i | 0.347889 | − | 0.158388i | ||||
\(424\) | 4.39332 | + | 4.39332i | 0.213359 | + | 0.213359i | ||||
\(425\) | −18.7621 | + | 10.8323i | −0.910095 | + | 0.525443i | ||||
\(426\) | 36.7079 | + | 31.0870i | 1.77850 | + | 1.50617i | ||||
\(427\) | −6.46984 | + | 1.73359i | −0.313098 | + | 0.0838942i | ||||
\(428\) | 8.14235 | − | 14.1030i | 0.393576 | − | 0.681693i | ||||
\(429\) | 0.952043 | + | 0.245631i | 0.0459651 | + | 0.0118592i | ||||
\(430\) | 8.84638 | + | 15.3224i | 0.426610 | + | 0.738911i | ||||
\(431\) | −4.72894 | − | 4.72894i | −0.227785 | − | 0.227785i | 0.583982 | − | 0.811767i | \(-0.301494\pi\) |
−0.811767 | + | 0.583982i | \(0.801494\pi\) | |||||||
\(432\) | 0.321976 | − | 23.6054i | 0.0154911 | − | 1.13571i | ||||
\(433\) | − | 29.9597i | − | 1.43977i | −0.694092 | − | 0.719886i | \(-0.744194\pi\) | ||
0.694092 | − | 0.719886i | \(-0.255806\pi\) | |||||||
\(434\) | 2.54591 | − | 9.50146i | 0.122207 | − | 0.456085i | ||||
\(435\) | 0.0654910 | + | 0.0309022i | 0.00314005 | + | 0.00148165i | ||||
\(436\) | 1.97759 | − | 0.529893i | 0.0947093 | − | 0.0253773i | ||||
\(437\) | −1.79342 | − | 6.69315i | −0.0857911 | − | 0.320177i | ||||
\(438\) | 36.8503 | + | 31.2077i | 1.76078 | + | 1.49116i | ||||
\(439\) | −11.8983 | + | 6.86950i | −0.567876 | + | 0.327863i | −0.756300 | − | 0.654224i | \(-0.772995\pi\) |
0.188425 | + | 0.982088i | \(0.439662\pi\) | |||||||
\(440\) | 0.0618784 | − | 0.0618784i | 0.00294994 | − | 0.00294994i | ||||
\(441\) | −12.6624 | + | 2.11419i | −0.602969 | + | 0.100676i | ||||
\(442\) | 29.4871 | + | 20.0444i | 1.40256 | + | 0.953413i | ||||
\(443\) | −6.00516 | + | 3.46708i | −0.285314 | + | 0.164726i | −0.635826 | − | 0.771832i | \(-0.719341\pi\) |
0.350513 | + | 0.936558i | \(0.386007\pi\) | |||||||
\(444\) | −20.5659 | + | 14.2615i | −0.976012 | + | 0.676819i | ||||
\(445\) | 4.76276 | − | 8.24935i | 0.225777 | − | 0.391057i | ||||
\(446\) | −2.56308 | + | 4.43938i | −0.121365 | + | 0.210211i | ||||
\(447\) | 2.48356 | + | 3.58143i | 0.117468 | + | 0.169396i | ||||
\(448\) | −8.33344 | − | 2.23294i | −0.393718 | − | 0.105496i | ||||
\(449\) | −3.96397 | + | 3.96397i | −0.187072 | + | 0.187072i | −0.794429 | − | 0.607357i | \(-0.792230\pi\) |
0.607357 | + | 0.794429i | \(0.292230\pi\) | |||||||
\(450\) | −19.6630 | − | 14.0364i | −0.926925 | − | 0.661681i | ||||
\(451\) | −1.44347 | −0.0679705 | ||||||||
\(452\) | 9.92196 | + | 17.1853i | 0.466690 | + | 0.808331i | ||||
\(453\) | −28.4718 | + | 2.36057i | −1.33772 | + | 0.110909i | ||||
\(454\) | 17.3739 | + | 10.0308i | 0.815398 | + | 0.470770i | ||||
\(455\) | −5.02239 | − | 1.74962i | −0.235453 | − | 0.0820236i | ||||
\(456\) | −2.50413 | + | 0.898559i | −0.117267 | + | 0.0420789i | ||||
\(457\) | 15.3112 | + | 4.10262i | 0.716227 | + | 0.191912i | 0.598487 | − | 0.801132i | \(-0.295769\pi\) |
0.117739 | + | 0.993045i | \(0.462435\pi\) | |||||||
\(458\) | − | 0.259786i | − | 0.0121390i | ||||||
\(459\) | 23.0255 | + | 13.7158i | 1.07474 | + | 0.640201i | ||||
\(460\) | −2.97122 | + | 2.97122i | −0.138534 | + | 0.138534i | ||||
\(461\) | 6.73529 | − | 25.1364i | 0.313694 | − | 1.17072i | −0.611506 | − | 0.791240i | \(-0.709436\pi\) |
0.925200 | − | 0.379481i | \(-0.123897\pi\) | |||||||
\(462\) | 0.368010 | − | 0.779923i | 0.0171214 | − | 0.0362853i | ||||
\(463\) | 5.87729 | − | 1.57482i | 0.273141 | − | 0.0731879i | −0.119649 | − | 0.992816i | \(-0.538177\pi\) |
0.392789 | + | 0.919628i | \(0.371510\pi\) | |||||||
\(464\) | 0.183953 | + | 0.106206i | 0.00853982 | + | 0.00493047i | ||||
\(465\) | −3.11355 | + | 3.67651i | −0.144388 | + | 0.170494i | ||||
\(466\) | 6.49488 | − | 24.2392i | 0.300870 | − | 1.12286i | ||||
\(467\) | −9.48351 | −0.438845 | −0.219422 | − | 0.975630i | \(-0.570417\pi\) | ||||
−0.219422 | + | 0.975630i | \(0.570417\pi\) | |||||||
\(468\) | −3.06274 | + | 17.8661i | −0.141575 | + | 0.825859i | ||||
\(469\) | −9.95074 | −0.459483 | ||||||||
\(470\) | −1.16287 | + | 4.33989i | −0.0536392 | + | 0.200184i | ||||
\(471\) | −27.2601 | − | 4.93458i | −1.25608 | − | 0.227374i | ||||
\(472\) | −5.25736 | − | 3.03534i | −0.241989 | − | 0.139713i | ||||
\(473\) | −1.56934 | + | 0.420503i | −0.0721583 | + | 0.0193348i | ||||
\(474\) | −12.7752 | − | 18.4226i | −0.586787 | − | 0.846180i | ||||
\(475\) | −2.68659 | + | 10.0265i | −0.123269 | + | 0.460047i | ||||
\(476\) | 10.0816 | − | 10.0816i | 0.462088 | − | 0.462088i | ||||
\(477\) | −19.0666 | − | 23.1470i | −0.873002 | − | 1.05983i | ||||
\(478\) | − | 15.2008i | − | 0.695270i | ||||||
\(479\) | −0.529529 | − | 0.141887i | −0.0241948 | − | 0.00648298i | 0.246701 | − | 0.969092i | \(-0.420653\pi\) |
−0.270896 | + | 0.962609i | \(0.587320\pi\) | |||||||
\(480\) | 8.82647 | + | 7.47493i | 0.402871 | + | 0.341182i | ||||
\(481\) | −27.9906 | + | 13.5272i | −1.27626 | + | 0.616789i | ||||
\(482\) | 8.41029 | + | 4.85568i | 0.383078 | + | 0.221170i | ||||
\(483\) | 3.41843 | − | 7.24467i | 0.155544 | − | 0.329644i | ||||
\(484\) | 9.19620 | + | 15.9283i | 0.418009 | + | 0.724013i | ||||
\(485\) | 9.98624 | 0.453452 | ||||||||
\(486\) | −3.28087 | + | 29.7062i | −0.148823 | + | 1.34750i | ||||
\(487\) | −24.6564 | + | 24.6564i | −1.11729 | + | 1.11729i | −0.125151 | + | 0.992138i | \(0.539942\pi\) |
−0.992138 | + | 0.125151i | \(0.960058\pi\) | |||||||
\(488\) | 2.43792 | + | 0.653238i | 0.110359 | + | 0.0295707i | ||||
\(489\) | −2.63194 | + | 5.57787i | −0.119021 | + | 0.252240i | ||||
\(490\) | 3.66838 | − | 6.35382i | 0.165720 | − | 0.287036i | ||||
\(491\) | 9.08257 | − | 15.7315i | 0.409890 | − | 0.709951i | −0.584987 | − | 0.811043i | \(-0.698900\pi\) |
0.994877 | + | 0.101092i | \(0.0322336\pi\) | |||||||
\(492\) | −2.19884 | − | 26.5210i | −0.0991312 | − | 1.19566i | ||||
\(493\) | −0.208838 | + | 0.120572i | −0.00940557 | + | 0.00543031i | ||||
\(494\) | 16.7811 | − | 3.19919i | 0.755019 | − | 0.143938i | ||||
\(495\) | −0.326017 | + | 0.268547i | −0.0146534 | + | 0.0120703i | ||||
\(496\) | −9.99256 | + | 9.99256i | −0.448679 | + | 0.448679i | ||||
\(497\) | 20.6924 | − | 11.9467i | 0.928179 | − | 0.535884i | ||||
\(498\) | −7.66856 | + | 42.3634i | −0.343637 | + | 1.89835i | ||||
\(499\) | −1.64627 | − | 6.14396i | −0.0736971 | − | 0.275041i | 0.919238 | − | 0.393703i | \(-0.128806\pi\) |
−0.992935 | + | 0.118662i | \(0.962140\pi\) | |||||||
\(500\) | 13.3179 | − | 3.56851i | 0.595593 | − | 0.159589i | ||||
\(501\) | −11.0177 | + | 7.64029i | −0.492236 | + | 0.341343i | ||||
\(502\) | −12.5631 | + | 46.8861i | −0.560719 | + | 2.09263i | ||||
\(503\) | 26.2246i | 1.16930i | 0.811286 | + | 0.584649i | \(0.198768\pi\) | ||||
−0.811286 | + | 0.584649i | \(0.801232\pi\) | |||||||
\(504\) | −2.88051 | − | 1.07818i | −0.128308 | − | 0.0480259i | ||||
\(505\) | 2.06737 | + | 2.06737i | 0.0919967 | + | 0.0919967i | ||||
\(506\) | −0.423181 | − | 0.732971i | −0.0188127 | − | 0.0325845i | ||||
\(507\) | −7.20930 | + | 21.3313i | −0.320176 | + | 0.947358i | ||||
\(508\) | 4.34320 | − | 7.52265i | 0.192698 | − | 0.333764i | ||||
\(509\) | −8.21567 | + | 2.20138i | −0.364153 | + | 0.0975745i | −0.436256 | − | 0.899823i | \(-0.643696\pi\) |
0.0721027 | + | 0.997397i | \(0.477029\pi\) | |||||||
\(510\) | −14.4168 | + | 5.17320i | −0.638389 | + | 0.229073i | ||||
\(511\) | 20.7726 | − | 11.9931i | 0.918928 | − | 0.530543i | ||||
\(512\) | 19.9963 | + | 19.9963i | 0.883721 | + | 0.883721i | ||||
\(513\) | 12.4479 | − | 3.15408i | 0.549587 | − | 0.139256i | ||||
\(514\) | −35.6114 | − | 35.6114i | −1.57075 | − | 1.57075i | ||||
\(515\) | 6.01705 | + | 1.61226i | 0.265143 | + | 0.0710448i | ||||
\(516\) | −10.1165 | − | 28.1930i | −0.445354 | − | 1.24113i | ||||
\(517\) | −0.357308 | − | 0.206292i | −0.0157144 | − | 0.00907271i | ||||
\(518\) | 7.05733 | + | 26.3383i | 0.310081 | + | 1.15724i | ||||
\(519\) | 5.89654 | − | 6.96269i | 0.258830 | − | 0.305628i | ||||
\(520\) | 1.30931 | + | 1.51720i | 0.0574171 | + | 0.0665337i | ||||
\(521\) | − | 26.2990i | − | 1.15218i | −0.817386 | − | 0.576090i | \(-0.804578\pi\) | ||
0.817386 | − | 0.576090i | \(-0.195422\pi\) | |||||||
\(522\) | −0.218866 | − | 0.156237i | −0.00957951 | − | 0.00683829i | ||||
\(523\) | 12.1237 | 0.530132 | 0.265066 | − | 0.964230i | \(-0.414606\pi\) | ||||
0.265066 | + | 0.964230i | \(0.414606\pi\) | |||||||
\(524\) | −6.66704 | − | 11.5476i | −0.291251 | − | 0.504461i | ||||
\(525\) | −9.86117 | + | 6.83826i | −0.430377 | + | 0.298446i | ||||
\(526\) | −6.31774 | − | 23.5781i | −0.275466 | − | 1.02805i | ||||
\(527\) | −4.15230 | − | 15.4966i | −0.180877 | − | 0.675042i | ||||
\(528\) | −1.01809 | + | 0.706001i | −0.0443069 | + | 0.0307248i | ||||
\(529\) | 7.56909 | + | 13.1101i | 0.329091 | + | 0.570002i | ||||
\(530\) | 17.1386 | 0.744454 | ||||||||
\(531\) | 23.8483 | + | 17.0240i | 1.03493 | + | 0.738780i | ||||
\(532\) | − | 6.83121i | − | 0.296171i | ||||||
\(533\) | 2.42480 | − | 32.9679i | 0.105030 | − | 1.42800i | ||||
\(534\) | −22.8598 | + | 26.9931i | −0.989241 | + | 1.16810i | ||||
\(535\) | 2.24913 | + | 8.39386i | 0.0972383 | + | 0.362898i | ||||
\(536\) | 3.24722 | + | 1.87478i | 0.140258 | + | 0.0809783i | ||||
\(537\) | 12.8448 | + | 35.7964i | 0.554295 | + | 1.54473i | ||||
\(538\) | 26.8619 | + | 7.19762i | 1.15810 | + | 0.310311i | ||||
\(539\) | 0.476395 | + | 0.476395i | 0.0205198 | + | 0.0205198i | ||||
\(540\) | −5.43064 | − | 5.58084i | −0.233698 | − | 0.240161i | ||||
\(541\) | 14.5915 | + | 14.5915i | 0.627336 | + | 0.627336i | 0.947397 | − | 0.320061i | \(-0.103703\pi\) |
−0.320061 | + | 0.947397i | \(0.603703\pi\) | |||||||
\(542\) | 33.0198 | − | 19.0640i | 1.41832 | − | 0.818867i | ||||
\(543\) | −38.1495 | + | 13.6892i | −1.63715 | + | 0.587459i | ||||
\(544\) | −37.2038 | + | 9.96872i | −1.59510 | + | 0.427406i | ||||
\(545\) | −0.546261 | + | 0.946152i | −0.0233993 | + | 0.0405287i | ||||
\(546\) | 17.1947 | + | 9.71523i | 0.735865 | + | 0.415773i | ||||
\(547\) | 4.86405 | + | 8.42478i | 0.207972 | + | 0.360217i | 0.951075 | − | 0.308959i | \(-0.0999805\pi\) |
−0.743104 | + | 0.669176i | \(0.766647\pi\) | |||||||
\(548\) | 4.46037 | + | 4.46037i | 0.190537 | + | 0.190537i | ||||
\(549\) | −11.4091 | − | 4.27046i | −0.486929 | − | 0.182259i | ||||
\(550\) | 1.26787i | 0.0540622i | ||||||||
\(551\) | −0.0299040 | + | 0.111603i | −0.00127395 | + | 0.00475446i | ||||
\(552\) | −2.48048 | + | 1.72009i | −0.105576 | + | 0.0732121i | ||||
\(553\) | −10.7564 | + | 2.88216i | −0.457407 | + | 0.122562i | ||||
\(554\) | −11.9882 | − | 44.7405i | −0.509329 | − | 1.90084i | ||||
\(555\) | 2.37884 | − | 13.1414i | 0.100976 | − | 0.557823i | ||||
\(556\) | −11.3976 | + | 6.58039i | −0.483364 | + | 0.279071i | ||||
\(557\) | −20.8637 | + | 20.8637i | −0.884022 | + | 0.884022i | −0.993941 | − | 0.109918i | \(-0.964941\pi\) |
0.109918 | + | 0.993941i | \(0.464941\pi\) | |||||||
\(558\) | 13.8089 | − | 11.3747i | 0.584575 | − | 0.481527i | ||||
\(559\) | −6.96776 | − | 36.5490i | −0.294705 | − | 1.54586i | ||||
\(560\) | 5.80377 | − | 3.35081i | 0.245254 | − | 0.141598i | ||||
\(561\) | −0.116216 | − | 1.40172i | −0.00490662 | − | 0.0591806i | ||||
\(562\) | 14.2046 | − | 24.6031i | 0.599186 | − | 1.03782i | ||||
\(563\) | −6.00705 | + | 10.4045i | −0.253167 | + | 0.438498i | −0.964396 | − | 0.264462i | \(-0.914806\pi\) |
0.711229 | + | 0.702960i | \(0.248139\pi\) | |||||||
\(564\) | 3.24592 | − | 6.87908i | 0.136678 | − | 0.289661i | ||||
\(565\) | −10.2284 | − | 2.74070i | −0.430314 | − | 0.115302i | ||||
\(566\) | 25.5891 | − | 25.5891i | 1.07559 | − | 1.07559i | ||||
\(567\) | 13.3381 | + | 6.51753i | 0.560148 | + | 0.273710i | ||||
\(568\) | −9.00336 | −0.377773 | ||||||||
\(569\) | −8.53748 | − | 14.7874i | −0.357910 | − | 0.619918i | 0.629702 | − | 0.776837i | \(-0.283177\pi\) |
−0.987611 | + | 0.156919i | \(0.949844\pi\) | |||||||
\(570\) | −3.13172 | + | 6.63706i | −0.131174 | + | 0.277996i | ||||
\(571\) | −14.7276 | − | 8.50300i | −0.616332 | − | 0.355840i | 0.159107 | − | 0.987261i | \(-0.449138\pi\) |
−0.775440 | + | 0.631422i | \(0.782472\pi\) | |||||||
\(572\) | 0.856516 | − | 0.413935i | 0.0358127 | − | 0.0173075i | ||||
\(573\) | −26.2158 | − | 22.2015i | −1.09518 | − | 0.927482i | ||||
\(574\) | −28.0065 | − | 7.50432i | −1.16897 | − | 0.313224i | ||||
\(575\) | 11.7772i | 0.491143i | ||||||||
\(576\) | −9.97636 | − | 12.1113i | −0.415682 | − | 0.504638i | ||||
\(577\) | −4.35828 | + | 4.35828i | −0.181438 | + | 0.181438i | −0.791982 | − | 0.610544i | \(-0.790951\pi\) |
0.610544 | + | 0.791982i | \(0.290951\pi\) | |||||||
\(578\) | 4.76547 | − | 17.7850i | 0.198218 | − | 0.739758i | ||||
\(579\) | 7.35663 | + | 10.6087i | 0.305731 | + | 0.440882i | ||||
\(580\) | 0.0676770 | − | 0.0181340i | 0.00281013 | − | 0.000752973i | ||||
\(581\) | 18.5197 | + | 10.6923i | 0.768325 | + | 0.443592i | ||||
\(582\) | −36.4901 | − | 6.60537i | −1.51256 | − | 0.273802i | ||||
\(583\) | −0.407333 | + | 1.52019i | −0.0168700 | + | 0.0629598i | ||||
\(584\) | −9.03830 | −0.374007 | ||||||||
\(585\) | −5.58576 | − | 7.89710i | −0.230943 | − | 0.326505i | ||||
\(586\) | 18.2456 | 0.753720 | ||||||||
\(587\) | −2.89860 | + | 10.8177i | −0.119638 | + | 0.446496i | −0.999592 | − | 0.0285635i | \(-0.990907\pi\) |
0.879954 | + | 0.475059i | \(0.157573\pi\) | |||||||
\(588\) | −8.02712 | + | 9.47850i | −0.331033 | + | 0.390887i | ||||
\(589\) | −6.65700 | − | 3.84342i | −0.274297 | − | 0.158365i | ||||
\(590\) | −16.1751 | + | 4.33412i | −0.665920 | + | 0.178433i | ||||
\(591\) | 6.76345 | − | 14.3338i | 0.278211 | − | 0.589612i | ||||
\(592\) | 10.1388 | − | 37.8384i | 0.416701 | − | 1.55515i | ||||
\(593\) | 7.78427 | − | 7.78427i | 0.319662 | − | 0.319662i | −0.528976 | − | 0.848637i | \(-0.677424\pi\) |
0.848637 | + | 0.528976i | \(0.177424\pi\) | |||||||
\(594\) | 1.36891 | − | 0.765637i | 0.0561669 | − | 0.0314145i | ||||
\(595\) | 7.60818i | 0.311905i | ||||||||
\(596\) | 4.07310 | + | 1.09138i | 0.166841 | + | 0.0447048i | ||||
\(597\) | 10.9697 | − | 3.93627i | 0.448961 | − | 0.161101i | ||||
\(598\) | 17.4514 | − | 8.43387i | 0.713641 | − | 0.344887i | ||||
\(599\) | −0.363551 | − | 0.209896i | −0.0148543 | − | 0.00857613i | 0.492554 | − | 0.870282i | \(-0.336063\pi\) |
−0.507409 | + | 0.861705i | \(0.669397\pi\) | |||||||
\(600\) | 4.50636 | − | 0.373619i | 0.183971 | − | 0.0152529i | ||||
\(601\) | 1.61211 | + | 2.79226i | 0.0657595 | + | 0.113899i | 0.897031 | − | 0.441968i | \(-0.145720\pi\) |
−0.831271 | + | 0.555867i | \(0.812386\pi\) | |||||||
\(602\) | −32.6347 | −1.33009 | ||||||||
\(603\) | −14.7300 | − | 10.5149i | −0.599851 | − | 0.428201i | ||||
\(604\) | −19.5457 | + | 19.5457i | −0.795304 | + | 0.795304i | ||||
\(605\) | −9.48026 | − | 2.54023i | −0.385427 | − | 0.103275i | ||||
\(606\) | −6.18678 | − | 8.92169i | −0.251321 | − | 0.362419i | ||||
\(607\) | 13.3118 | − | 23.0566i | 0.540307 | − | 0.935840i | −0.458579 | − | 0.888654i | \(-0.651641\pi\) |
0.998886 | − | 0.0471859i | \(-0.0150253\pi\) | |||||||
\(608\) | −9.22717 | + | 15.9819i | −0.374211 | + | 0.648153i | ||||
\(609\) | −0.109763 | + | 0.0761156i | −0.00444782 | + | 0.00308436i | ||||
\(610\) | 6.02939 | − | 3.48107i | 0.244123 | − | 0.140944i | ||||
\(611\) | 5.31178 | − | 7.81412i | 0.214892 | − | 0.316126i | ||||
\(612\) | 25.5768 | − | 4.27046i | 1.03388 | − | 0.172623i | ||||
\(613\) | 15.6670 | − | 15.6670i | 0.632782 | − | 0.632782i | −0.315983 | − | 0.948765i | \(-0.602334\pi\) |
0.948765 | + | 0.315983i | \(0.102334\pi\) | |||||||
\(614\) | 10.7828 | − | 6.22543i | 0.435157 | − | 0.251238i | ||||
\(615\) | 10.8369 | + | 9.17751i | 0.436986 | + | 0.370073i | ||||
\(616\) | 0.0417767 | + | 0.155913i | 0.00168323 | + | 0.00628190i | ||||
\(617\) | −41.9648 | + | 11.2444i | −1.68944 | + | 0.452683i | −0.970245 | − | 0.242127i | \(-0.922155\pi\) |
−0.719193 | + | 0.694810i | \(0.755488\pi\) | |||||||
\(618\) | −20.9201 | − | 9.87123i | −0.841529 | − | 0.397079i | ||||
\(619\) | 0.118743 | − | 0.443156i | 0.00477270 | − | 0.0178119i | −0.963498 | − | 0.267714i | \(-0.913732\pi\) |
0.968271 | + | 0.249902i | \(0.0803984\pi\) | |||||||
\(620\) | 4.66135i | 0.187204i | ||||||||
\(621\) | 12.7157 | − | 7.11196i | 0.510263 | − | 0.285393i | ||||
\(622\) | 8.02877 | + | 8.02877i | 0.321925 | + | 0.321925i | ||||
\(623\) | 8.78502 | + | 15.2161i | 0.351964 | + | 0.609620i | ||||
\(624\) | −14.4143 | − | 24.4385i | −0.577035 | − | 0.978323i | ||||
\(625\) | 6.82201 | − | 11.8161i | 0.272880 | − | 0.472643i | ||||
\(626\) | 20.7042 | − | 5.54769i | 0.827508 | − | 0.221730i | ||||
\(627\) | −0.514273 | − | 0.435525i | −0.0205381 | − | 0.0173932i | ||||
\(628\) | −23.2126 | + | 13.4018i | −0.926285 | + | 0.534791i | ||||
\(629\) | 31.4467 | + | 31.4467i | 1.25386 | + | 1.25386i | ||||
\(630\) | −7.72154 | + | 3.51550i | −0.307634 | + | 0.140061i | ||||
\(631\) | 12.6077 | + | 12.6077i | 0.501905 | + | 0.501905i | 0.912030 | − | 0.410124i | \(-0.134515\pi\) |
−0.410124 | + | 0.912030i | \(0.634515\pi\) | |||||||
\(632\) | 4.05313 | + | 1.08603i | 0.161225 | + | 0.0432001i | ||||
\(633\) | 45.3074 | + | 8.20148i | 1.80081 | + | 0.325979i | ||||
\(634\) | −21.2135 | − | 12.2476i | −0.842497 | − | 0.486416i | ||||
\(635\) | 1.19970 | + | 4.47736i | 0.0476088 | + | 0.177679i | ||||
\(636\) | −28.5509 | − | 5.16825i | −1.13212 | − | 0.204934i | ||||
\(637\) | −11.6808 | + | 10.0802i | −0.462809 | + | 0.399394i | ||||
\(638\) | 0.0141125i | 0.000558718i | ||||||||
\(639\) | 43.2548 | + | 4.18094i | 1.71113 | + | 0.165396i | ||||
\(640\) | −4.38816 | −0.173457 | ||||||||
\(641\) | −14.8488 | − | 25.7189i | −0.586494 | − | 1.01584i | −0.994687 | − | 0.102942i | \(-0.967175\pi\) |
0.408194 | − | 0.912895i | \(-0.366159\pi\) | |||||||
\(642\) | −2.66629 | − | 32.1591i | −0.105230 | − | 1.26922i | ||||
\(643\) | 3.15616 | + | 11.7790i | 0.124467 | + | 0.464517i | 0.999820 | − | 0.0189671i | \(-0.00603778\pi\) |
−0.875353 | + | 0.483484i | \(0.839371\pi\) | |||||||
\(644\) | −2.00600 | − | 7.48648i | −0.0790474 | − | 0.295009i | ||||
\(645\) | 14.4554 | + | 6.82083i | 0.569179 | + | 0.268570i | ||||
\(646\) | −12.2192 | − | 21.1642i | −0.480757 | − | 0.832696i | ||||
\(647\) | −40.4691 | −1.59101 | −0.795503 | − | 0.605950i | \(-0.792793\pi\) | ||||
−0.795503 | + | 0.605950i | \(0.792793\pi\) | |||||||
\(648\) | −3.12467 | − | 4.63985i | −0.122749 | − | 0.182270i | ||||
\(649\) | − | 1.53774i | − | 0.0603615i | ||||||
\(650\) | −28.9572 | − | 2.12982i | −1.13580 | − | 0.0835382i | ||||
\(651\) | −3.00136 | − | 8.36430i | −0.117633 | − | 0.327823i | ||||
\(652\) | 1.54447 | + | 5.76404i | 0.0604862 | + | 0.225737i | ||||
\(653\) | 24.2892 | + | 14.0234i | 0.950509 | + | 0.548777i | 0.893239 | − | 0.449582i | \(-0.148427\pi\) |
0.0572703 | + | 0.998359i | \(0.481760\pi\) | |||||||
\(654\) | 2.62189 | − | 3.09595i | 0.102524 | − | 0.121061i | ||||
\(655\) | 6.87297 | + | 1.84161i | 0.268549 | + | 0.0719576i | ||||
\(656\) | 29.4541 | + | 29.4541i | 1.14999 | + | 1.14999i | ||||
\(657\) | 43.4226 | + | 4.19717i | 1.69408 | + | 0.163747i | ||||
\(658\) | −5.86008 | − | 5.86008i | −0.228450 | − | 0.228450i | ||||
\(659\) | −28.4577 | + | 16.4301i | −1.10856 | + | 0.640025i | −0.938455 | − | 0.345402i | \(-0.887743\pi\) |
−0.170101 | + | 0.985427i | \(0.554409\pi\) | |||||||
\(660\) | −0.0727929 | + | 0.402130i | −0.00283346 | + | 0.0156529i | ||||
\(661\) | 33.1178 | − | 8.87390i | 1.28813 | − | 0.345155i | 0.451183 | − | 0.892431i | \(-0.351002\pi\) |
0.836952 | + | 0.547277i | \(0.184335\pi\) | |||||||
\(662\) | −11.9578 | + | 20.7115i | −0.464753 | + | 0.804976i | ||||
\(663\) | 32.2095 | − | 0.299619i | 1.25091 | − | 0.0116362i | ||||
\(664\) | −4.02900 | − | 6.97844i | −0.156356 | − | 0.270816i | ||||
\(665\) | 2.57763 | + | 2.57763i | 0.0999563 | + | 0.0999563i | ||||
\(666\) | −17.3847 | + | 46.4458i | −0.673645 | + | 1.79974i | ||||
\(667\) | 0.131090i | 0.00507582i | ||||||||
\(668\) | −3.35748 | + | 12.5303i | −0.129905 | + | 0.484811i | ||||
\(669\) | 0.382641 | + | 4.61518i | 0.0147938 | + | 0.178433i | ||||
\(670\) | 9.99062 | − | 2.67698i | 0.385971 | − | 0.103421i | ||||
\(671\) | 0.165469 | + | 0.617539i | 0.00638786 | + | 0.0238398i | ||||
\(672\) | −20.0808 | + | 7.20559i | −0.774633 | + | 0.277962i | ||||
\(673\) | −5.67449 | + | 3.27617i | −0.218736 | + | 0.126287i | −0.605365 | − | 0.795948i | \(-0.706973\pi\) |
0.386629 | + | 0.922235i | \(0.373639\pi\) | |||||||
\(674\) | 6.97541 | − | 6.97541i | 0.268683 | − | 0.268683i | ||||
\(675\) | −21.8234 | − | 0.297669i | −0.839982 | − | 0.0114573i | ||||
\(676\) | 8.01517 | + | 20.2575i | 0.308276 | + | 0.779136i | ||||
\(677\) | −30.5370 | + | 17.6305i | −1.17363 | + | 0.677596i | −0.954533 | − | 0.298106i | \(-0.903645\pi\) |
−0.219099 | + | 0.975703i | \(0.570312\pi\) | |||||||
\(678\) | 35.5622 | + | 16.7802i | 1.36576 | + | 0.644439i | ||||
\(679\) | −9.20992 | + | 15.9520i | −0.353444 | + | 0.612183i | ||||
\(680\) | 1.43343 | − | 2.48277i | 0.0549695 | − | 0.0952099i | ||||
\(681\) | 18.0619 | − | 1.49750i | 0.692134 | − | 0.0573843i | ||||
\(682\) | −0.906903 | − | 0.243004i | −0.0347271 | − | 0.00930511i | ||||
\(683\) | 14.8730 | − | 14.8730i | 0.569101 | − | 0.569101i | −0.362775 | − | 0.931877i | \(-0.618171\pi\) |
0.931877 | + | 0.362775i | \(0.118171\pi\) | |||||||
\(684\) | 7.21853 | − | 10.1122i | 0.276007 | − | 0.386649i | ||||
\(685\) | −3.36607 | −0.128611 | ||||||||
\(686\) | 17.8350 | + | 30.8911i | 0.680943 | + | 1.17943i | ||||
\(687\) | −0.133739 | − | 0.192859i | −0.00510245 | − | 0.00735803i | ||||
\(688\) | 40.6027 | + | 23.4420i | 1.54796 | + | 0.893718i | ||||
\(689\) | −34.0357 | − | 11.8569i | −1.29666 | − | 0.451710i | ||||
\(690\) | −1.48315 | + | 8.19334i | −0.0564624 | + | 0.311915i | ||||
\(691\) | 38.5825 | + | 10.3382i | 1.46775 | + | 0.393282i | 0.902158 | − | 0.431405i | \(-0.141982\pi\) |
0.565590 | + | 0.824687i | \(0.308649\pi\) | |||||||
\(692\) | − | 8.82780i | − | 0.335583i | ||||||
\(693\) | −0.128305 | − | 0.768450i | −0.00487391 | − | 0.0291910i | ||||
\(694\) | 18.5760 | − | 18.5760i | 0.705136 | − | 0.705136i | ||||
\(695\) | 1.81767 | − | 6.78365i | 0.0689483 | − | 0.257318i | ||||
\(696\) | 0.0501595 | − | 0.00415869i | 0.00190129 | − | 0.000157635i | ||||
\(697\) | −45.6778 | + | 12.2393i | −1.73017 | + | 0.463597i | ||||
\(698\) | −57.1962 | − | 33.0222i | −2.16491 | − | 1.24991i | ||||
\(699\) | −7.65680 | − | 21.3382i | −0.289607 | − | 0.807086i | ||||
\(700\) | −3.00503 | + | 11.2149i | −0.113580 | + | 0.423885i | ||||
\(701\) | 7.29814 | 0.275647 | 0.137823 | − | 0.990457i | \(-0.455989\pi\) | ||||
0.137823 | + | 0.990457i | \(0.455989\pi\) | |||||||
\(702\) | 15.1870 | + | 32.5509i | 0.573198 | + | 1.22856i | ||||
\(703\) | 21.3081 | 0.803651 | ||||||||
\(704\) | −0.213131 | + | 0.795417i | −0.00803269 | + | 0.0299784i | ||||
\(705\) | 1.37090 | + | 3.82048i | 0.0516312 | + | 0.143888i | ||||
\(706\) | 17.7067 | + | 10.2230i | 0.666402 | + | 0.384748i | ||||
\(707\) | −5.20907 | + | 1.39577i | −0.195907 | + | 0.0524932i | ||||
\(708\) | 28.2529 | − | 2.34243i | 1.06181 | − | 0.0880338i | ||||
\(709\) | 11.0242 | − | 41.1429i | 0.414023 | − | 1.54516i | −0.372761 | − | 0.927927i | \(-0.621589\pi\) |
0.786784 | − | 0.617228i | \(-0.211744\pi\) | |||||||
\(710\) | −17.5613 | + | 17.5613i | −0.659065 | + | 0.659065i | ||||
\(711\) | −18.9681 | − | 7.09979i | −0.711359 | − | 0.266263i | ||||
\(712\) | − | 6.62061i | − | 0.248118i | ||||||
\(713\) | −8.42418 | − | 2.25725i | −0.315488 | − | 0.0845348i | ||||
\(714\) | 5.03241 | − | 27.8005i | 0.188333 | − | 1.04041i | ||||
\(715\) | −0.167000 | + | 0.479381i | −0.00624543 | + | 0.0179278i | ||||
\(716\) | 31.8666 | + | 18.3982i | 1.19091 | + | 0.687573i | ||||
\(717\) | −7.82544 | − | 11.2847i | −0.292247 | − | 0.421436i | ||||
\(718\) | −28.6543 | − | 49.6307i | −1.06937 | − | 1.85220i | ||||
\(719\) | −12.2923 | −0.458425 | −0.229213 | − | 0.973376i | \(-0.573615\pi\) | ||||
−0.229213 | + | 0.973376i | \(0.573615\pi\) | |||||||
\(720\) | 12.1321 | + | 1.17267i | 0.452135 | + | 0.0437027i | ||||
\(721\) | −8.12472 | + | 8.12472i | −0.302580 | + | 0.302580i | ||||
\(722\) | 23.8761 | + | 6.39759i | 0.888577 | + | 0.238094i | ||||
\(723\) | 8.74333 | − | 0.724903i | 0.325168 | − | 0.0269594i | ||||
\(724\) | −19.6076 | + | 33.9613i | −0.728710 | + | 1.26216i | ||||
\(725\) | 0.0981880 | − | 0.170067i | 0.00364661 | − | 0.00631611i | ||||
\(726\) | 32.9610 | + | 15.5528i | 1.22330 | + | 0.577217i | ||||
\(727\) | −0.354131 | + | 0.204458i | −0.0131340 | + | 0.00758292i | −0.506553 | − | 0.862209i | \(-0.669080\pi\) |
0.493419 | + | 0.869792i | \(0.335747\pi\) | |||||||
\(728\) | −3.63111 | + | 0.692241i | −0.134578 | + | 0.0256562i | ||||
\(729\) | 12.8572 | + | 23.7422i | 0.476193 | + | 0.879341i | ||||
\(730\) | −17.6295 | + | 17.6295i | −0.652496 | + | 0.652496i | ||||
\(731\) | −46.0952 | + | 26.6131i | −1.70489 | + | 0.984321i | ||||
\(732\) | −11.0940 | + | 3.98086i | −0.410046 | + | 0.147137i | ||||
\(733\) | 9.23406 | + | 34.4620i | 0.341068 | + | 1.27288i | 0.897139 | + | 0.441748i | \(0.145641\pi\) |
−0.556071 | + | 0.831135i | \(0.687692\pi\) | |||||||
\(734\) | −17.3905 | + | 4.65977i | −0.641896 | + | 0.171995i | ||||
\(735\) | −0.547651 | − | 6.60542i | −0.0202004 | − | 0.243645i | ||||
\(736\) | −5.41915 | + | 20.2245i | −0.199752 | + | 0.745486i | ||||
\(737\) | 0.949787i | 0.0349859i | ||||||||
\(738\) | −33.5279 | − | 40.7030i | −1.23418 | − | 1.49830i | ||||
\(739\) | −9.08586 | − | 9.08586i | −0.334229 | − | 0.334229i | 0.519961 | − | 0.854190i | \(-0.325946\pi\) |
−0.854190 | + | 0.519961i | \(0.825946\pi\) | |||||||
\(740\) | −6.46069 | − | 11.1903i | −0.237500 | − | 0.411362i | ||||
\(741\) | 10.8110 | − | 11.0140i | 0.397151 | − | 0.404609i | ||||
\(742\) | −15.8063 | + | 27.3773i | −0.580266 | + | 1.00505i | ||||
\(743\) | 42.9694 | − | 11.5136i | 1.57639 | − | 0.422393i | 0.638586 | − | 0.769550i | \(-0.279520\pi\) |
0.937807 | + | 0.347157i | \(0.112853\pi\) | |||||||
\(744\) | −0.596454 | + | 3.29499i | −0.0218671 | + | 0.120800i | ||||
\(745\) | −1.94872 | + | 1.12509i | −0.0713956 | + | 0.0412203i | ||||
\(746\) | 1.03660 | + | 1.03660i | 0.0379526 | + | 0.0379526i | ||||
\(747\) | 16.1159 | + | 35.3974i | 0.589649 | + | 1.29512i | ||||
\(748\) | −0.962274 | − | 0.962274i | −0.0351842 | − | 0.0351842i | ||||
\(749\) | −15.4827 | − | 4.14856i | −0.565724 | − | 0.151585i | ||||
\(750\) | 17.6568 | − | 20.8493i | 0.644736 | − | 0.761310i | ||||
\(751\) | 12.7639 | + | 7.36925i | 0.465762 | + | 0.268908i | 0.714464 | − | 0.699672i | \(-0.246671\pi\) |
−0.248702 | + | 0.968580i | \(0.580004\pi\) | |||||||
\(752\) | 3.08148 | + | 11.5003i | 0.112370 | + | 0.419371i | ||||
\(753\) | 14.8106 | + | 41.2747i | 0.539728 | + | 1.50413i | ||||
\(754\) | −0.322318 | − | 0.0237066i | −0.0117381 | − | 0.000863344i | ||||
\(755\) | − | 14.7504i | − | 0.536823i | ||||||
\(756\) | 13.9233 | − | 3.52793i | 0.506386 | − | 0.128310i | ||||
\(757\) | 0.0109077 | 0.000396446 | 0.000198223 | − | 1.00000i | \(-0.499937\pi\) | ||||
0.000198223 | 1.00000i | \(0.499937\pi\) | ||||||||
\(758\) | 30.8639 | + | 53.4579i | 1.12103 | + | 1.94168i | ||||
\(759\) | −0.691496 | − | 0.326285i | −0.0250997 | − | 0.0118434i | ||||
\(760\) | −0.355515 | − | 1.32680i | −0.0128959 | − | 0.0481280i | ||||
\(761\) | 0.394695 | + | 1.47302i | 0.0143077 | + | 0.0533970i | 0.972711 | − | 0.232022i | \(-0.0745340\pi\) |
−0.958403 | + | 0.285419i | \(0.907867\pi\) | |||||||
\(762\) | −1.42222 | − | 17.1540i | −0.0515217 | − | 0.621422i | ||||
\(763\) | −1.00759 | − | 1.74520i | −0.0364772 | − | 0.0631804i | ||||
\(764\) | −33.2382 | −1.20252 | ||||||||
\(765\) | −8.03955 | + | 11.2623i | −0.290670 | + | 0.407190i | ||||
\(766\) | 22.5659i | 0.815340i | ||||||||
\(767\) | 35.1208 | + | 2.58315i | 1.26814 | + | 0.0932721i | ||||
\(768\) | 33.8633 | + | 6.12989i | 1.22194 | + | 0.221193i | ||||
\(769\) | 0.804577 | + | 3.00272i | 0.0290138 | + | 0.108281i | 0.978914 | − | 0.204272i | \(-0.0654826\pi\) |
−0.949900 | + | 0.312553i | \(0.898816\pi\) | |||||||
\(770\) | 0.385599 | + | 0.222626i | 0.0138960 | + | 0.00802287i | ||||
\(771\) | −44.7700 | − | 8.10419i | −1.61235 | − | 0.291865i | ||||
\(772\) | 12.0651 | + | 3.23282i | 0.434231 | + | 0.116352i | ||||
\(773\) | −22.4604 | − | 22.4604i | −0.807844 | − | 0.807844i | 0.176463 | − | 0.984307i | \(-0.443534\pi\) |
−0.984307 | + | 0.176463i | \(0.943534\pi\) | |||||||
\(774\) | −48.3088 | − | 34.4850i | −1.73642 | − | 1.23954i | ||||
\(775\) | 9.23821 | + | 9.23821i | 0.331846 | + | 0.331846i | ||||
\(776\) | 6.01093 | − | 3.47041i | 0.215780 | − | 0.124581i | ||||
\(777\) | 18.7983 | + | 15.9198i | 0.674384 | + | 0.571120i | ||||
\(778\) | 37.1038 | − | 9.94193i | 1.33024 | − | 0.356435i | ||||
\(779\) | −11.3289 | + | 19.6222i | −0.405899 | + | 0.703037i | ||||
\(780\) | −9.06207 | − | 2.33805i | −0.324474 | − | 0.0837156i | ||||
\(781\) | −1.14030 | − | 1.97506i | −0.0408032 | − | 0.0706733i | ||||
\(782\) | −19.6062 | − | 19.6062i | −0.701116 | − | 0.701116i | ||||
\(783\) | −0.242912 | − | 0.00331331i | −0.00868098 | − | 0.000118408i | ||||
\(784\) | − | 19.4417i | − | 0.694345i | ||||||
\(785\) | 3.70193 | − | 13.8158i | 0.132127 | − | 0.493107i | ||||
\(786\) | −23.8959 | − | 11.2754i | −0.852340 | − | 0.402180i | ||||
\(787\) | 9.47793 | − | 2.53960i | 0.337852 | − | 0.0905271i | −0.0859044 | − | 0.996303i | \(-0.527378\pi\) |
0.423756 | + | 0.905776i | \(0.360711\pi\) | |||||||
\(788\) | −3.96891 | − | 14.8122i | −0.141387 | − | 0.527662i | ||||
\(789\) | −16.8282 | − | 14.2514i | −0.599101 | − | 0.507365i | ||||
\(790\) | 10.0241 | − | 5.78741i | 0.356641 | − | 0.205907i | ||||
\(791\) | 13.8113 | − | 13.8113i | 0.491073 | − | 0.491073i | ||||
\(792\) | −0.102911 | + | 0.274941i | −0.00365678 | + | 0.00976961i | ||||
\(793\) | −14.3821 | + | 2.74183i | −0.510723 | + | 0.0973652i | ||||
\(794\) | 40.1882 | − | 23.2027i | 1.42623 | − | 0.823432i | ||||
\(795\) | 12.7233 | − | 8.82302i | 0.451249 | − | 0.312920i | ||||
\(796\) | 5.63808 | − | 9.76545i | 0.199837 | − | 0.346127i | ||||
\(797\) | −17.8812 | + | 30.9711i | −0.633383 | + | 1.09705i | 0.353472 | + | 0.935445i | \(0.385001\pi\) |
−0.986855 | + | 0.161607i | \(0.948332\pi\) | |||||||
\(798\) | −7.71378 | − | 11.1237i | −0.273065 | − | 0.393775i | ||||
\(799\) | −13.0559 | − | 3.49833i | −0.461886 | − | 0.123762i | ||||
\(800\) | 22.1788 | − | 22.1788i | 0.784140 | − | 0.784140i | ||||
\(801\) | −3.07445 | + | 31.8073i | −0.108630 | + | 1.12386i | ||||
\(802\) | 12.1763 | 0.429960 | ||||||||
\(803\) | −1.14473 | − | 1.98273i | −0.0403965 | − | 0.0699689i | ||||
\(804\) | −17.4505 | + | 1.44681i | −0.615430 | + | 0.0510249i | ||||
\(805\) | 3.58181 | + | 2.06796i | 0.126242 | + | 0.0728860i | ||||
\(806\) | 7.07348 | − | 20.3048i | 0.249153 | − | 0.715206i | ||||
\(807\) | 23.6470 | − | 8.48525i | 0.832413 | − | 0.298695i | ||||
\(808\) | 1.96284 | + | 0.525942i | 0.0690526 | + | 0.0185026i | ||||
\(809\) | − | 18.5029i | − | 0.650527i | −0.945623 | − | 0.325263i | \(-0.894547\pi\) | ||
0.945623 | − | 0.325263i | \(-0.105453\pi\) | |||||||
\(810\) | −15.1449 | − | 2.95539i | −0.532139 | − | 0.103842i | ||||
\(811\) | 17.2558 | − | 17.2558i | 0.605931 | − | 0.605931i | −0.335949 | − | 0.941880i | \(-0.609057\pi\) |
0.941880 | + | 0.335949i | \(0.109057\pi\) | |||||||
\(812\) | −0.0334485 | + | 0.124832i | −0.00117381 | + | 0.00438073i | ||||
\(813\) | 14.6989 | − | 31.1513i | 0.515513 | − | 1.09252i | ||||
\(814\) | 2.51396 | − | 0.673614i | 0.0881143 | − | 0.0236102i | ||||
\(815\) | −2.75773 | − | 1.59218i | −0.0965992 | − | 0.0557716i | ||||
\(816\) | −26.2307 | + | 30.9734i | −0.918258 | + | 1.08429i | ||||
\(817\) | −6.60050 | + | 24.6334i | −0.230922 | + | 0.861814i | ||||
\(818\) | −26.5146 | −0.927062 | ||||||||
\(819\) | 17.7664 | − | 1.63953i | 0.620807 | − | 0.0572897i | ||||
\(820\) | 13.7398 | 0.479814 | ||||||||
\(821\) | 7.04170 | − | 26.2800i | 0.245757 | − | 0.917178i | −0.727244 | − | 0.686379i | \(-0.759199\pi\) |
0.973001 | − | 0.230799i | \(-0.0741341\pi\) | |||||||
\(822\) | 12.2997 | + | 2.22648i | 0.429003 | + | 0.0776574i | ||||
\(823\) | −23.0087 | − | 13.2841i | −0.802032 | − | 0.463053i | 0.0421493 | − | 0.999111i | \(-0.486579\pi\) |
−0.844181 | + | 0.536058i | \(0.819913\pi\) | |||||||
\(824\) | 4.18208 | − | 1.12059i | 0.145690 | − | 0.0390374i | ||||
\(825\) | 0.652705 | + | 0.941238i | 0.0227243 | + | 0.0327697i | ||||
\(826\) | 7.99437 | − | 29.8354i | 0.278160 | − | 1.03811i | ||||
\(827\) | −10.3409 | + | 10.3409i | −0.359587 | + | 0.359587i | −0.863661 | − | 0.504074i | \(-0.831834\pi\) |
0.504074 | + | 0.863661i | \(0.331834\pi\) | |||||||
\(828\) | 4.94150 | − | 13.2019i | 0.171729 | − | 0.458798i | ||||
\(829\) | 3.59632i | 0.124906i | 0.998048 | + | 0.0624528i | \(0.0198923\pi\) | ||||
−0.998048 | + | 0.0624528i | \(0.980108\pi\) | |||||||
\(830\) | −21.4703 | − | 5.75296i | −0.745247 | − | 0.199688i | ||||
\(831\) | −31.9323 | − | 27.0428i | −1.10772 | − | 0.938103i | ||||
\(832\) | −17.8087 | − | 6.20394i | −0.617406 | − | 0.215083i | ||||
\(833\) | 19.1146 | + | 11.0358i | 0.662281 | + | 0.382368i | ||||
\(834\) | −11.1289 | + | 23.5854i | −0.385361 | + | 0.816695i | ||||
\(835\) | −3.46119 | − | 5.99495i | −0.119779 | − | 0.207464i | ||||
\(836\) | −0.652032 | −0.0225510 | ||||||||
\(837\) | 4.39566 | − | 15.5531i | 0.151936 | − | 0.537595i | ||||
\(838\) | 8.71504 | − | 8.71504i | 0.301056 | − | 0.301056i | ||||
\(839\) | −19.7010 | − | 5.27886i | −0.680153 | − | 0.182246i | −0.0978291 | − | 0.995203i | \(-0.531190\pi\) |
−0.582324 | + | 0.812957i | \(0.697857\pi\) | |||||||
\(840\) | 0.677644 | − | 1.43613i | 0.0233809 | − | 0.0495511i | ||||
\(841\) | −14.4989 | + | 25.1128i | −0.499962 | + | 0.865960i | ||||
\(842\) | −6.64288 | + | 11.5058i | −0.228929 | + | 0.396516i | ||||
\(843\) | −2.12060 | − | 25.5774i | −0.0730374 | − | 0.880932i | ||||
\(844\) | 38.5803 | − | 22.2744i | 1.32799 | − | 0.766715i | ||||
\(845\) | −10.6682 | − | 4.61943i | −0.366997 | − | 0.158913i | ||||
\(846\) | −2.48228 | − | 14.8669i | −0.0853425 | − | 0.511136i | ||||
\(847\) | 12.8010 | − | 12.8010i | 0.439849 | − | 0.439849i | ||||
\(848\) | 39.3310 | − | 22.7078i | 1.35063 | − | 0.779788i | ||||
\(849\) | 5.82338 | − | 32.1701i | 0.199858 | − | 1.10407i | ||||
\(850\) | 10.7504 | + | 40.1209i | 0.368735 | + | 1.37614i | ||||
\(851\) | 23.3521 | − | 6.25717i | 0.800499 | − | 0.214493i | ||||
\(852\) | 34.5508 | − | 23.9594i | 1.18369 | − | 0.820836i | ||||
\(853\) | −10.9437 | + | 40.8425i | −0.374705 | + | 1.39842i | 0.479069 | + | 0.877777i | \(0.340974\pi\) |
−0.853775 | + | 0.520642i | \(0.825692\pi\) | |||||||
\(854\) | 12.8418i | 0.439438i | ||||||||
\(855\) | 1.09186 | + | 6.53942i | 0.0373409 | + | 0.223643i | ||||
\(856\) | 4.27083 | + | 4.27083i | 0.145974 | + | 0.145974i | ||||
\(857\) | 19.5438 | + | 33.8509i | 0.667604 | + | 1.15632i | 0.978572 | + | 0.205904i | \(0.0660133\pi\) |
−0.310968 | + | 0.950420i | \(0.600653\pi\) | |||||||
\(858\) | 0.927308 | − | 1.64121i | 0.0316578 | − | 0.0560301i | ||||
\(859\) | −16.5663 | + | 28.6936i | −0.565233 | + | 0.979013i | 0.431795 | + | 0.901972i | \(0.357881\pi\) |
−0.997028 | + | 0.0770408i | \(0.975453\pi\) | |||||||
\(860\) | 14.9379 | − | 4.00259i | 0.509377 | − | 0.136487i | ||||
\(861\) | −24.6546 | + | 8.84682i | −0.840227 | + | 0.301499i | ||||
\(862\) | −11.1042 | + | 6.41100i | −0.378210 | + | 0.218359i | ||||
\(863\) | −19.1083 | − | 19.1083i | −0.650455 | − | 0.650455i | 0.302648 | − | 0.953102i | \(-0.402129\pi\) |
−0.953102 | + | 0.302648i | \(0.902129\pi\) | |||||||
\(864\) | −37.3395 | − | 10.5530i | −1.27032 | − | 0.359019i | ||||
\(865\) | 3.33101 | + | 3.33101i | 0.113258 | + | 0.113258i | ||||
\(866\) | −55.4828 | − | 14.8666i | −1.88538 | − | 0.505186i | ||||
\(867\) | −5.61800 | − | 15.6564i | −0.190797 | − | 0.531721i | ||||
\(868\) | −7.44605 | − | 4.29898i | −0.252735 | − | 0.145917i | ||||
\(869\) | 0.275099 | + | 1.02668i | 0.00933208 | + | 0.0348278i | ||||
\(870\) | 0.0897261 | − | 0.105949i | 0.00304200 | − | 0.00359202i | ||||
\(871\) | −21.6924 | − | 1.59549i | −0.735020 | − | 0.0540610i | ||||
\(872\) | 0.759345i | 0.0257147i | ||||||||
\(873\) | −30.4898 | + | 13.8815i | −1.03192 | + | 0.469819i | ||||
\(874\) | −13.2851 | −0.449374 | ||||||||
\(875\) | −6.78551 | − | 11.7529i | −0.229392 | − | 0.397319i | ||||
\(876\) | 34.6849 | − | 24.0524i | 1.17189 | − | 0.812655i | ||||
\(877\) | 5.76183 | + | 21.5034i | 0.194563 | + | 0.726119i | 0.992380 | + | 0.123219i | \(0.0393217\pi\) |
−0.797817 | + | 0.602900i | \(0.794012\pi\) | |||||||
\(878\) | 6.81754 | + | 25.4434i | 0.230081 | + | 0.858674i | ||||
\(879\) | 13.5451 | − | 9.39292i | 0.456866 | − | 0.316815i | ||||
\(880\) | −0.319831 | − | 0.553964i | −0.0107815 | − | 0.0186741i | ||||
\(881\) | 16.1039 | 0.542553 | 0.271277 | − | 0.962501i | \(-0.412554\pi\) | ||||
0.271277 | + | 0.962501i | \(0.412554\pi\) | |||||||
\(882\) | −2.36801 | + | 24.4987i | −0.0797349 | + | 0.824913i | ||||
\(883\) | − | 44.6307i | − | 1.50194i | −0.660335 | − | 0.750971i | \(-0.729586\pi\) | ||
0.660335 | − | 0.750971i | \(-0.270414\pi\) | |||||||
\(884\) | 23.5941 | − | 20.3612i | 0.793555 | − | 0.684820i | ||||
\(885\) | −9.77683 | + | 11.5446i | −0.328645 | + | 0.388067i | ||||
\(886\) | 3.44086 | + | 12.8415i | 0.115598 | + | 0.431417i | ||||
\(887\) | 10.9394 | + | 6.31586i | 0.367309 | + | 0.212066i | 0.672282 | − | 0.740295i | \(-0.265314\pi\) |
−0.304973 | + | 0.952361i | \(0.598648\pi\) | |||||||
\(888\) | −3.13503 | − | 8.73680i | −0.105205 | − | 0.293188i | ||||
\(889\) | −8.25858 | − | 2.21288i | −0.276984 | − | 0.0742176i | ||||
\(890\) | −12.9137 | − | 12.9137i | −0.432868 | − | 0.432868i | ||||
\(891\) | 0.622091 | − | 1.27311i | 0.0208408 | − | 0.0426507i | ||||
\(892\) | 3.16830 | + | 3.16830i | 0.106082 | + | 0.106082i | ||||
\(893\) | −5.60855 | + | 3.23810i | −0.187683 | + | 0.108359i | ||||
\(894\) | 7.86488 | − | 2.82216i | 0.263041 | − | 0.0943870i | ||||
\(895\) | −18.9665 | + | 5.08206i | −0.633980 | + | 0.169874i | ||||
\(896\) | 4.04703 | − | 7.00966i | 0.135202 | − | 0.234176i | ||||
\(897\) | 8.61372 | − | 15.2452i | 0.287604 | − | 0.509021i | ||||
\(898\) | 5.37394 | + | 9.30793i | 0.179331 | + | 0.310610i | ||||
\(899\) | 0.102829 | + | 0.102829i | 0.00342954 | + | 0.00342954i | ||||
\(900\) | −16.2991 | + | 13.4259i | −0.543304 | + | 0.447531i | ||||
\(901\) | 51.5591i | 1.71768i | ||||||||
\(902\) | −0.716279 | + | 2.67319i | −0.0238495 | + | 0.0890074i | ||||
\(903\) | −24.2272 | + | 16.8005i | −0.806231 | + | 0.559084i | ||||
\(904\) | −7.10916 | + | 1.90489i | −0.236447 | + | 0.0633558i | ||||
\(905\) | −5.41612 | − | 20.2132i | −0.180038 | − | 0.671911i | ||||
\(906\) | −9.75664 | + | 53.8986i | −0.324143 | + | 1.79066i | ||||
\(907\) | 7.17127 | − | 4.14033i | 0.238118 | − | 0.137478i | −0.376193 | − | 0.926541i | \(-0.622767\pi\) |
0.614312 | + | 0.789064i | \(0.289434\pi\) | |||||||
\(908\) | 12.3994 | − | 12.3994i | 0.411489 | − | 0.411489i | ||||
\(909\) | −9.18584 | − | 3.43828i | −0.304675 | − | 0.114040i | ||||
\(910\) | −5.73235 | + | 8.43283i | −0.190026 | + | 0.279545i | ||||
\(911\) | −32.4143 | + | 18.7144i | −1.07393 | + | 0.620036i | −0.929254 | − | 0.369443i | \(-0.879549\pi\) |
−0.144680 | + | 0.989478i | \(0.546215\pi\) | |||||||
\(912\) | 1.60683 | + | 19.3806i | 0.0532076 | + | 0.641756i | ||||
\(913\) | 1.02057 | − | 1.76768i | 0.0337760 | − | 0.0585017i | ||||
\(914\) | 15.1954 | − | 26.3192i | 0.502619 | − | 0.870561i | ||||
\(915\) | 2.68401 | − | 5.68822i | 0.0887307 | − | 0.188047i | ||||
\(916\) | −0.219335 | − | 0.0587707i | −0.00724704 | − | 0.00194184i | ||||
\(917\) | −9.28046 | + | 9.28046i | −0.306468 | + | 0.306468i | ||||
\(918\) | 36.8262 | − | 35.8351i | 1.21545 | − | 1.18273i | ||||
\(919\) | 49.3675 | 1.62848 | 0.814242 | − | 0.580526i | \(-0.197153\pi\) | ||||
0.814242 | + | 0.580526i | \(0.197153\pi\) | |||||||
\(920\) | −0.779233 | − | 1.34967i | −0.0256906 | − | 0.0444973i | ||||
\(921\) | 4.79999 | − | 10.1726i | 0.158165 | − | 0.335199i | ||||
\(922\) | −43.2083 | − | 24.9463i | −1.42299 | − | 0.821563i | ||||
\(923\) | 47.0245 | − | 22.7259i | 1.54783 | − | 0.748032i | ||||
\(924\) | −0.575229 | − | 0.487148i | −0.0189236 | − | 0.0160260i | ||||
\(925\) | −34.9820 | − | 9.37339i | −1.15020 | − | 0.308195i | ||||
\(926\) | − | 11.6657i | − | 0.383358i | ||||||
\(927\) | −20.6123 | + | 3.44156i | −0.676997 | + | 0.113036i | ||||
\(928\) | 0.246869 | − | 0.246869i | 0.00810387 | − | 0.00810387i | ||||
\(929\) | 2.54222 | − | 9.48769i | 0.0834075 | − | 0.311281i | −0.911600 | − | 0.411078i | \(-0.865153\pi\) |
0.995008 | + | 0.0997965i | \(0.0318192\pi\) | |||||||
\(930\) | 5.26358 | + | 7.59038i | 0.172600 | + | 0.248899i | ||||
\(931\) | 10.2149 | − | 2.73707i | 0.334779 | − | 0.0897038i | ||||
\(932\) | −18.9957 | − | 10.9672i | −0.622224 | − | 0.359241i | ||||
\(933\) | 10.0936 | + | 1.82713i | 0.330450 | + | 0.0598176i | ||||
\(934\) | −4.70589 | + | 17.5626i | −0.153982 | + | 0.574667i | ||||
\(935\) | 0.726192 | 0.0237490 | ||||||||
\(936\) | −6.10658 | − | 2.81227i | −0.199600 | − | 0.0919219i | ||||
\(937\) | −16.3488 | −0.534092 | −0.267046 | − | 0.963684i | \(-0.586048\pi\) | ||||
−0.267046 | + | 0.963684i | \(0.586048\pi\) | |||||||
\(938\) | −4.93774 | + | 18.4279i | −0.161223 | + | 0.601692i | ||||
\(939\) | 12.5144 | − | 14.7771i | 0.408391 | − | 0.482232i | ||||
\(940\) | 3.40106 | + | 1.96360i | 0.110930 | + | 0.0640456i | ||||
\(941\) | −49.0712 | + | 13.1486i | −1.59968 | + | 0.428632i | −0.944945 | − | 0.327230i | \(-0.893885\pi\) |
−0.654731 | + | 0.755862i | \(0.727218\pi\) | |||||||
\(942\) | −22.6654 | + | 48.0347i | −0.738478 | + | 1.56506i | ||||
\(943\) | −6.65348 | + | 24.8311i | −0.216667 | + | 0.808612i | ||||
\(944\) | −31.3775 | + | 31.3775i | −1.02125 | + | 1.02125i | ||||
\(945\) | −3.92250 | + | 6.58490i | −0.127599 | + | 0.214207i | ||||
\(946\) | 3.11494i | 0.101276i | ||||||||
\(947\) | 2.14420 | + | 0.574537i | 0.0696772 | + | 0.0186700i | 0.293489 | − | 0.955962i | \(-0.405184\pi\) |
−0.223812 | + | 0.974632i | \(0.571850\pi\) | |||||||
\(948\) | −18.4442 | + | 6.61833i | −0.599040 | + | 0.214953i | ||||
\(949\) | 47.2070 | − | 22.8141i | 1.53240 | − | 0.740576i | ||||
\(950\) | 17.2351 | + | 9.95067i | 0.559179 | + | 0.322842i | ||||
\(951\) | −22.0536 | + | 1.82845i | −0.715136 | + | 0.0592914i | ||||
\(952\) | 2.64399 | + | 4.57952i | 0.0856922 | + | 0.148423i | ||||
\(953\) | 16.6705 | 0.540011 | 0.270005 | − | 0.962859i | \(-0.412975\pi\) | ||||
0.270005 | + | 0.962859i | \(0.412975\pi\) | |||||||
\(954\) | −52.3274 | + | 23.8238i | −1.69416 | + | 0.771325i | ||||
\(955\) | 12.5418 | − | 12.5418i | 0.405844 | − | 0.405844i | ||||
\(956\) | −12.8339 | − | 3.43884i | −0.415079 | − | 0.111220i | ||||
\(957\) | 0.00726515 | + | 0.0104768i | 0.000234849 | + | 0.000338666i | ||||
\(958\) | −0.525524 | + | 0.910235i | −0.0169789 | + | 0.0294084i | ||||
\(959\) | 3.10440 | − | 5.37697i | 0.100246 | − | 0.173631i | ||||
\(960\) | 6.65729 | − | 4.61652i | 0.214863 | − | 0.148998i | ||||
\(961\) | 18.4681 | − | 10.6626i | 0.595745 | − | 0.343954i | ||||
\(962\) | 11.1618 | + | 58.5486i | 0.359871 | + | 1.88768i | ||||
\(963\) | −18.5350 | − | 22.5016i | −0.597283 | − | 0.725103i | ||||
\(964\) | 6.00225 | − | 6.00225i | 0.193319 | − | 0.193319i | ||||
\(965\) | −5.77238 | + | 3.33268i | −0.185819 | + | 0.107283i | ||||
\(966\) | −11.7202 | − | 9.92557i | −0.377092 | − | 0.319350i | ||||
\(967\) | −1.50939 | − | 5.63312i | −0.0485387 | − | 0.181149i | 0.937401 | − | 0.348253i | \(-0.113225\pi\) |
−0.985939 | + | 0.167104i | \(0.946558\pi\) | |||||||
\(968\) | −6.58915 | + | 1.76556i | −0.211783 | + | 0.0567471i | ||||
\(969\) | −19.9667 | − | 9.42136i | −0.641422 | − | 0.302658i | ||||
\(970\) | 4.95536 | − | 18.4936i | 0.159107 | − | 0.593795i | ||||
\(971\) | − | 54.7967i | − | 1.75851i | −0.476353 | − | 0.879254i | \(-0.658041\pi\) | ||
0.476353 | − | 0.879254i | \(-0.341959\pi\) | |||||||
\(972\) | 24.3385 | + | 9.49037i | 0.780657 | + | 0.304404i | ||||
\(973\) | 9.15985 | + | 9.15985i | 0.293651 | + | 0.293651i | ||||
\(974\) | 33.4266 | + | 57.8965i | 1.07106 | + | 1.85512i | ||||
\(975\) | −22.5936 | + | 13.3262i | −0.723575 | + | 0.426779i | ||||
\(976\) | 9.22448 | − | 15.9773i | 0.295268 | − | 0.511420i | ||||
\(977\) | 23.2133 | − | 6.22000i | 0.742661 | − | 0.198995i | 0.132400 | − | 0.991196i | \(-0.457732\pi\) |
0.610260 | + | 0.792201i | \(0.291065\pi\) | |||||||
\(978\) | 9.02371 | + | 7.64197i | 0.288546 | + | 0.244363i | ||||
\(979\) | 1.45236 | − | 0.838520i | 0.0464176 | − | 0.0267992i | ||||
\(980\) | −4.53459 | − | 4.53459i | −0.144852 | − | 0.144852i | ||||
\(981\) | 0.352622 | − | 3.64812i | 0.0112583 | − | 0.116475i | ||||
\(982\) | −24.6264 | − | 24.6264i | −0.785859 | − | 0.785859i | ||||
\(983\) | 31.8529 | + | 8.53496i | 1.01595 | + | 0.272223i | 0.728113 | − | 0.685457i | \(-0.240397\pi\) |
0.287836 | + | 0.957680i | \(0.407064\pi\) | |||||||
\(984\) | 9.71232 | + | 1.75811i | 0.309617 | + | 0.0560465i | ||||
\(985\) | 7.08670 | + | 4.09151i | 0.225801 | + | 0.130366i | ||||
\(986\) | 0.119661 | + | 0.446579i | 0.00381077 | + | 0.0142220i | ||||
\(987\) | −7.36717 | − | 1.33359i | −0.234500 | − | 0.0424488i | ||||
\(988\) | 1.09531 | − | 14.8919i | 0.0348463 | − | 0.473775i | ||||
\(989\) | 28.9346i | 0.920065i | ||||||||
\(990\) | 0.335550 | + | 0.737012i | 0.0106645 | + | 0.0234238i | ||||
\(991\) | −52.4123 | −1.66493 | −0.832465 | − | 0.554078i | \(-0.813071\pi\) | ||||
−0.832465 | + | 0.554078i | \(0.813071\pi\) | |||||||
\(992\) | 11.6136 | + | 20.1153i | 0.368731 | + | 0.638661i | ||||
\(993\) | 1.78518 | + | 21.5317i | 0.0566508 | + | 0.683287i | ||||
\(994\) | −11.8564 | − | 44.2486i | −0.376062 | − | 1.40348i | ||||
\(995\) | 1.55738 | + | 5.81224i | 0.0493724 | + | 0.184260i | ||||
\(996\) | 34.0323 | + | 16.0583i | 1.07835 | + | 0.508826i | ||||
\(997\) | 29.1056 | + | 50.4124i | 0.921785 | + | 1.59658i | 0.796652 | + | 0.604438i | \(0.206602\pi\) |
0.125132 | + | 0.992140i | \(0.460065\pi\) | |||||||
\(998\) | −12.1950 | −0.386025 | ||||||||
\(999\) | 11.0044 | + | 43.4300i | 0.348165 | + | 1.37406i |
(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 | 117.2.z.b.5.10 | ✓ | 44 | |
3.2 | odd | 2 | 351.2.bc.b.44.2 | 44 | |||
9.2 | odd | 6 | inner | 117.2.z.b.83.10 | yes | 44 | |
9.7 | even | 3 | 351.2.bc.b.278.2 | 44 | |||
13.8 | odd | 4 | inner | 117.2.z.b.86.10 | yes | 44 | |
39.8 | even | 4 | 351.2.bc.b.125.2 | 44 | |||
117.34 | odd | 12 | 351.2.bc.b.8.2 | 44 | |||
117.47 | even | 12 | inner | 117.2.z.b.47.10 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
117.2.z.b.5.10 | ✓ | 44 | 1.1 | even | 1 | trivial | |
117.2.z.b.47.10 | yes | 44 | 117.47 | even | 12 | inner | |
117.2.z.b.83.10 | yes | 44 | 9.2 | odd | 6 | inner | |
117.2.z.b.86.10 | yes | 44 | 13.8 | odd | 4 | inner | |
351.2.bc.b.8.2 | 44 | 117.34 | odd | 12 | |||
351.2.bc.b.44.2 | 44 | 3.2 | odd | 2 | |||
351.2.bc.b.125.2 | 44 | 39.8 | even | 4 | |||
351.2.bc.b.278.2 | 44 | 9.7 | even | 3 |