Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(79,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.e (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2 x^{11} + 9 x^{10} - 6 x^{9} + 34 x^{8} - 18 x^{7} + 85 x^{6} - 2 x^{5} + 92 x^{4} - 26 x^{3} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.5 | ||
Root | \(1.17550 - 2.03602i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.79 |
Dual form | 637.2.e.o.508.5 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.588093 | − | 1.01861i | 0.415845 | − | 0.720264i | −0.579672 | − | 0.814850i | \(-0.696819\pi\) |
0.995517 | + | 0.0945858i | \(0.0301527\pi\) | |||||||
\(3\) | 1.67550 | + | 2.90205i | 0.967349 | + | 1.67550i | 0.703166 | + | 0.711025i | \(0.251769\pi\) |
0.264183 | + | 0.964473i | \(0.414898\pi\) | |||||||
\(4\) | 0.308293 | + | 0.533979i | 0.154146 | + | 0.266989i | ||||
\(5\) | 1.57431 | − | 2.72679i | 0.704054 | − | 1.21946i | −0.262978 | − | 0.964802i | \(-0.584705\pi\) |
0.967032 | − | 0.254655i | \(-0.0819619\pi\) | |||||||
\(6\) | 3.94140 | 1.60907 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 3.07759 | 1.08809 | ||||||||
\(9\) | −4.11459 | + | 7.12667i | −1.37153 | + | 2.37556i | ||||
\(10\) | −1.85168 | − | 3.20721i | −0.585554 | − | 1.01421i | ||||
\(11\) | 0.386695 | + | 0.669775i | 0.116593 | + | 0.201945i | 0.918415 | − | 0.395618i | \(-0.129469\pi\) |
−0.801823 | + | 0.597562i | \(0.796136\pi\) | |||||||
\(12\) | −1.03309 | + | 1.78936i | −0.298227 | + | 0.516544i | ||||
\(13\) | −1.00000 | −0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 10.5510 | 2.72426 | ||||||||
\(16\) | 1.19333 | − | 2.06690i | 0.298331 | − | 0.516725i | ||||
\(17\) | −2.87670 | − | 4.98259i | −0.697702 | − | 1.20846i | −0.969261 | − | 0.246034i | \(-0.920873\pi\) |
0.271559 | − | 0.962422i | \(-0.412461\pi\) | |||||||
\(18\) | 4.83952 | + | 8.38230i | 1.14069 | + | 1.97573i | ||||
\(19\) | −0.611490 | + | 1.05913i | −0.140285 | + | 0.242981i | −0.927604 | − | 0.373565i | \(-0.878135\pi\) |
0.787319 | + | 0.616546i | \(0.211469\pi\) | |||||||
\(20\) | 1.94140 | 0.434109 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.909650 | 0.193938 | ||||||||
\(23\) | 1.49591 | − | 2.59099i | 0.311919 | − | 0.540259i | −0.666859 | − | 0.745184i | \(-0.732362\pi\) |
0.978778 | + | 0.204925i | \(0.0656950\pi\) | |||||||
\(24\) | 5.15650 | + | 8.93132i | 1.05257 | + | 1.82310i | ||||
\(25\) | −2.45692 | − | 4.25550i | −0.491383 | − | 0.851101i | ||||
\(26\) | −0.588093 | + | 1.01861i | −0.115335 | + | 0.199765i | ||||
\(27\) | −17.5229 | −3.37229 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.46882 | −0.458449 | −0.229224 | − | 0.973374i | \(-0.573619\pi\) | ||||
−0.229224 | + | 0.973374i | \(0.573619\pi\) | |||||||
\(30\) | 6.20499 | − | 10.7474i | 1.13287 | − | 1.96219i | ||||
\(31\) | −3.06743 | − | 5.31295i | −0.550927 | − | 0.954234i | −0.998208 | − | 0.0598404i | \(-0.980941\pi\) |
0.447281 | − | 0.894394i | \(-0.352393\pi\) | |||||||
\(32\) | 1.67402 | + | 2.89949i | 0.295928 | + | 0.512562i | ||||
\(33\) | −1.29581 | + | 2.24441i | −0.225572 | + | 0.390702i | ||||
\(34\) | −6.76707 | −1.16054 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −5.07399 | −0.845665 | ||||||||
\(37\) | −2.49966 | + | 4.32954i | −0.410942 | + | 0.711773i | −0.994993 | − | 0.0999443i | \(-0.968134\pi\) |
0.584051 | + | 0.811717i | \(0.301467\pi\) | |||||||
\(38\) | 0.719226 | + | 1.24574i | 0.116674 | + | 0.202085i | ||||
\(39\) | −1.67550 | − | 2.90205i | −0.268294 | − | 0.464700i | ||||
\(40\) | 4.84509 | − | 8.39194i | 0.766076 | − | 1.32688i | ||||
\(41\) | 2.55981 | 0.399774 | 0.199887 | − | 0.979819i | \(-0.435942\pi\) | ||||
0.199887 | + | 0.979819i | \(0.435942\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.73150 | −0.416550 | −0.208275 | − | 0.978070i | \(-0.566785\pi\) | ||||
−0.208275 | + | 0.978070i | \(0.566785\pi\) | |||||||
\(44\) | −0.238430 | + | 0.412974i | −0.0359447 | + | 0.0622581i | ||||
\(45\) | 12.9553 | + | 22.4392i | 1.93126 | + | 3.34504i | ||||
\(46\) | −1.75947 | − | 3.04749i | −0.259420 | − | 0.449328i | ||||
\(47\) | 2.68585 | − | 4.65202i | 0.391771 | − | 0.678567i | −0.600912 | − | 0.799315i | \(-0.705196\pi\) |
0.992683 | + | 0.120748i | \(0.0385293\pi\) | |||||||
\(48\) | 7.99766 | 1.15436 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −5.77958 | −0.817357 | ||||||||
\(51\) | 9.63981 | − | 16.6966i | 1.34984 | − | 2.33800i | ||||
\(52\) | −0.308293 | − | 0.533979i | −0.0427525 | − | 0.0740495i | ||||
\(53\) | 4.89508 | + | 8.47852i | 0.672390 | + | 1.16461i | 0.977224 | + | 0.212209i | \(0.0680657\pi\) |
−0.304834 | + | 0.952406i | \(0.598601\pi\) | |||||||
\(54\) | −10.3051 | + | 17.8490i | −1.40235 | + | 2.42894i | ||||
\(55\) | 2.43511 | 0.328351 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.09820 | −0.542820 | ||||||||
\(58\) | −1.45190 | + | 2.51476i | −0.190643 | + | 0.330204i | ||||
\(59\) | 1.25228 | + | 2.16902i | 0.163033 | + | 0.282382i | 0.935955 | − | 0.352119i | \(-0.114539\pi\) |
−0.772922 | + | 0.634501i | \(0.781206\pi\) | |||||||
\(60\) | 3.25281 | + | 5.63402i | 0.419935 | + | 0.727349i | ||||
\(61\) | −5.45835 | + | 9.45414i | −0.698870 | + | 1.21048i | 0.269988 | + | 0.962864i | \(0.412980\pi\) |
−0.968858 | + | 0.247615i | \(0.920353\pi\) | |||||||
\(62\) | −7.21575 | −0.916401 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.71122 | 1.08890 | ||||||||
\(65\) | −1.57431 | + | 2.72679i | −0.195269 | + | 0.338216i | ||||
\(66\) | 1.52412 | + | 2.63985i | 0.187606 | + | 0.324943i | ||||
\(67\) | −2.16259 | − | 3.74571i | −0.264202 | − | 0.457612i | 0.703152 | − | 0.711039i | \(-0.251775\pi\) |
−0.967354 | + | 0.253428i | \(0.918442\pi\) | |||||||
\(68\) | 1.77373 | − | 3.07219i | 0.215097 | − | 0.372558i | ||||
\(69\) | 10.0256 | 1.20694 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 10.6649 | 1.26570 | 0.632848 | − | 0.774276i | \(-0.281886\pi\) | ||||
0.632848 | + | 0.774276i | \(0.281886\pi\) | |||||||
\(72\) | −12.6630 | + | 21.9330i | −1.49235 | + | 2.58483i | ||||
\(73\) | −2.58725 | − | 4.48125i | −0.302815 | − | 0.524491i | 0.673958 | − | 0.738770i | \(-0.264593\pi\) |
−0.976772 | + | 0.214279i | \(0.931260\pi\) | |||||||
\(74\) | 2.94007 | + | 5.09235i | 0.341776 | + | 0.591974i | ||||
\(75\) | 8.23312 | − | 14.2602i | 0.950679 | − | 1.64662i | ||||
\(76\) | −0.754072 | −0.0864979 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −3.94140 | −0.446275 | ||||||||
\(79\) | 0.271019 | − | 0.469419i | 0.0304920 | − | 0.0528138i | −0.850377 | − | 0.526174i | \(-0.823626\pi\) |
0.880869 | + | 0.473361i | \(0.156959\pi\) | |||||||
\(80\) | −3.75733 | − | 6.50789i | −0.420083 | − | 0.727605i | ||||
\(81\) | −17.0159 | − | 29.4724i | −1.89066 | − | 3.27471i | ||||
\(82\) | 1.50540 | − | 2.60744i | 0.166244 | − | 0.287943i | ||||
\(83\) | −15.2259 | −1.67125 | −0.835627 | − | 0.549297i | \(-0.814896\pi\) | ||||
−0.835627 | + | 0.549297i | \(0.814896\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −18.1153 | −1.96488 | ||||||||
\(86\) | −1.60638 | + | 2.78233i | −0.173220 | + | 0.300026i | ||||
\(87\) | −4.13650 | − | 7.16464i | −0.443480 | − | 0.768130i | ||||
\(88\) | 1.19009 | + | 2.06129i | 0.126864 | + | 0.219735i | ||||
\(89\) | 4.61604 | − | 7.99522i | 0.489299 | − | 0.847492i | −0.510625 | − | 0.859804i | \(-0.670586\pi\) |
0.999924 | + | 0.0123122i | \(0.00391918\pi\) | |||||||
\(90\) | 30.4757 | 3.21242 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 1.84471 | 0.192325 | ||||||||
\(93\) | 10.2790 | − | 17.8037i | 1.06588 | − | 1.84616i | ||||
\(94\) | −3.15905 | − | 5.47164i | −0.325832 | − | 0.564357i | ||||
\(95\) | 1.92535 | + | 3.33481i | 0.197537 | + | 0.342144i | ||||
\(96\) | −5.60963 | + | 9.71617i | −0.572531 | + | 0.991652i | ||||
\(97\) | 1.26291 | 0.128229 | 0.0641145 | − | 0.997943i | \(-0.479578\pi\) | ||||
0.0641145 | + | 0.997943i | \(0.479578\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −6.36436 | −0.639642 | ||||||||
\(100\) | 1.51490 | − | 2.62388i | 0.151490 | − | 0.262388i | ||||
\(101\) | 0.302724 | + | 0.524333i | 0.0301221 | + | 0.0521731i | 0.880693 | − | 0.473687i | \(-0.157077\pi\) |
−0.850571 | + | 0.525860i | \(0.823744\pi\) | |||||||
\(102\) | −11.3382 | − | 19.6384i | −1.12265 | − | 1.94449i | ||||
\(103\) | 3.82402 | − | 6.62340i | 0.376792 | − | 0.652623i | −0.613802 | − | 0.789460i | \(-0.710361\pi\) |
0.990593 | + | 0.136838i | \(0.0436939\pi\) | |||||||
\(104\) | −3.07759 | −0.301783 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 11.5150 | 1.11844 | ||||||||
\(107\) | −2.41482 | + | 4.18260i | −0.233450 | + | 0.404347i | −0.958821 | − | 0.284011i | \(-0.908335\pi\) |
0.725371 | + | 0.688358i | \(0.241668\pi\) | |||||||
\(108\) | −5.40220 | − | 9.35688i | −0.519827 | − | 0.900366i | ||||
\(109\) | −3.61546 | − | 6.26216i | −0.346298 | − | 0.599806i | 0.639291 | − | 0.768965i | \(-0.279228\pi\) |
−0.985589 | + | 0.169159i | \(0.945895\pi\) | |||||||
\(110\) | 1.43207 | − | 2.48042i | 0.136543 | − | 0.236499i | ||||
\(111\) | −16.7527 | −1.59010 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −9.19375 | −0.864875 | −0.432438 | − | 0.901664i | \(-0.642346\pi\) | ||||
−0.432438 | + | 0.901664i | \(0.642346\pi\) | |||||||
\(114\) | −2.41012 | + | 4.17446i | −0.225729 | + | 0.390974i | ||||
\(115\) | −4.71006 | − | 8.15806i | −0.439215 | − | 0.760743i | ||||
\(116\) | −0.761120 | − | 1.31830i | −0.0706682 | − | 0.122401i | ||||
\(117\) | 4.11459 | − | 7.12667i | 0.380394 | − | 0.658861i | ||||
\(118\) | 2.94583 | 0.271186 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 32.4718 | 2.96425 | ||||||||
\(121\) | 5.20093 | − | 9.00828i | 0.472812 | − | 0.818935i | ||||
\(122\) | 6.42004 | + | 11.1198i | 0.581243 | + | 1.00674i | ||||
\(123\) | 4.28895 | + | 7.42868i | 0.386722 | + | 0.669821i | ||||
\(124\) | 1.89133 | − | 3.27589i | 0.169847 | − | 0.294183i | ||||
\(125\) | 0.271305 | 0.0242663 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −11.2118 | −0.994888 | −0.497444 | − | 0.867496i | \(-0.665728\pi\) | ||||
−0.497444 | + | 0.867496i | \(0.665728\pi\) | |||||||
\(128\) | 1.77497 | − | 3.07434i | 0.156887 | − | 0.271736i | ||||
\(129\) | −4.57663 | − | 7.92695i | −0.402949 | − | 0.697929i | ||||
\(130\) | 1.85168 | + | 3.20721i | 0.162403 | + | 0.281291i | ||||
\(131\) | 7.86899 | − | 13.6295i | 0.687517 | − | 1.19081i | −0.285122 | − | 0.958491i | \(-0.592034\pi\) |
0.972639 | − | 0.232323i | \(-0.0746325\pi\) | |||||||
\(132\) | −1.59796 | −0.139084 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −5.08721 | −0.439468 | ||||||||
\(135\) | −27.5866 | + | 47.7814i | −2.37427 | + | 4.11236i | ||||
\(136\) | −8.85331 | − | 15.3344i | −0.759165 | − | 1.31491i | ||||
\(137\) | 9.31050 | + | 16.1263i | 0.795449 | + | 1.37776i | 0.922553 | + | 0.385869i | \(0.126098\pi\) |
−0.127104 | + | 0.991889i | \(0.540568\pi\) | |||||||
\(138\) | 5.89597 | − | 10.2121i | 0.501899 | − | 0.869314i | ||||
\(139\) | 11.9137 | 1.01050 | 0.505252 | − | 0.862972i | \(-0.331399\pi\) | ||||
0.505252 | + | 0.862972i | \(0.331399\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 18.0005 | 1.51592 | ||||||||
\(142\) | 6.27198 | − | 10.8634i | 0.526333 | − | 0.911635i | ||||
\(143\) | −0.386695 | − | 0.669775i | −0.0323370 | − | 0.0560094i | ||||
\(144\) | 9.82008 | + | 17.0089i | 0.818340 | + | 1.41741i | ||||
\(145\) | −3.88669 | + | 6.73195i | −0.322772 | + | 0.559058i | ||||
\(146\) | −6.08618 | −0.503696 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.08251 | −0.253381 | ||||||||
\(149\) | −5.68767 | + | 9.85133i | −0.465952 | + | 0.807053i | −0.999244 | − | 0.0388786i | \(-0.987621\pi\) |
0.533292 | + | 0.845931i | \(0.320955\pi\) | |||||||
\(150\) | −9.68368 | − | 16.7726i | −0.790669 | − | 1.36948i | ||||
\(151\) | 1.84625 | + | 3.19780i | 0.150246 | + | 0.260234i | 0.931318 | − | 0.364208i | \(-0.118660\pi\) |
−0.781072 | + | 0.624441i | \(0.785327\pi\) | |||||||
\(152\) | −1.88192 | + | 3.25957i | −0.152644 | + | 0.264386i | ||||
\(153\) | 47.3457 | 3.82767 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −19.3164 | −1.55153 | ||||||||
\(156\) | 1.03309 | − | 1.78936i | 0.0827132 | − | 0.143264i | ||||
\(157\) | 0.560324 | + | 0.970509i | 0.0447187 | + | 0.0774550i | 0.887518 | − | 0.460772i | \(-0.152428\pi\) |
−0.842800 | + | 0.538227i | \(0.819094\pi\) | |||||||
\(158\) | −0.318769 | − | 0.552124i | −0.0253599 | − | 0.0439246i | ||||
\(159\) | −16.4034 | + | 28.4115i | −1.30087 | + | 2.25318i | ||||
\(160\) | 10.5417 | 0.833396 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −40.0277 | −3.14488 | ||||||||
\(163\) | 10.1717 | − | 17.6180i | 0.796712 | − | 1.37995i | −0.125034 | − | 0.992152i | \(-0.539904\pi\) |
0.921746 | − | 0.387794i | \(-0.126763\pi\) | |||||||
\(164\) | 0.789170 | + | 1.36688i | 0.0616238 | + | 0.106736i | ||||
\(165\) | 4.08003 | + | 7.06681i | 0.317630 | + | 0.550151i | ||||
\(166\) | −8.95422 | + | 15.5092i | −0.694982 | + | 1.20374i | ||||
\(167\) | −13.0063 | −1.00646 | −0.503228 | − | 0.864154i | \(-0.667854\pi\) | ||||
−0.503228 | + | 0.864154i | \(0.667854\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | −10.6535 | + | 18.4524i | −0.817085 | + | 1.41523i | ||||
\(171\) | −5.03206 | − | 8.71578i | −0.384811 | − | 0.666512i | ||||
\(172\) | −0.842102 | − | 1.45856i | −0.0642097 | − | 0.111214i | ||||
\(173\) | −12.9555 | + | 22.4396i | −0.984989 | + | 1.70605i | −0.343004 | + | 0.939334i | \(0.611445\pi\) |
−0.641985 | + | 0.766717i | \(0.721889\pi\) | |||||||
\(174\) | −9.73060 | −0.737675 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.84581 | 0.139133 | ||||||||
\(177\) | −4.19639 | + | 7.26836i | −0.315420 | + | 0.546324i | ||||
\(178\) | −5.42933 | − | 9.40387i | −0.406945 | − | 0.704850i | ||||
\(179\) | −4.82081 | − | 8.34989i | −0.360325 | − | 0.624100i | 0.627690 | − | 0.778464i | \(-0.284001\pi\) |
−0.988014 | + | 0.154363i | \(0.950667\pi\) | |||||||
\(180\) | −7.98804 | + | 13.8357i | −0.595394 | + | 1.03125i | ||||
\(181\) | 2.92683 | 0.217550 | 0.108775 | − | 0.994066i | \(-0.465307\pi\) | ||||
0.108775 | + | 0.994066i | \(0.465307\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −36.5818 | −2.70421 | ||||||||
\(184\) | 4.60380 | − | 7.97402i | 0.339397 | − | 0.587852i | ||||
\(185\) | 7.87050 | + | 13.6321i | 0.578651 | + | 1.00225i | ||||
\(186\) | −12.0900 | − | 20.9404i | −0.886480 | − | 1.53543i | ||||
\(187\) | 2.22481 | − | 3.85348i | 0.162694 | − | 0.281795i | ||||
\(188\) | 3.31211 | 0.241560 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.52914 | 0.328579 | ||||||||
\(191\) | 8.06822 | − | 13.9746i | 0.583796 | − | 1.01116i | −0.411229 | − | 0.911532i | \(-0.634900\pi\) |
0.995024 | − | 0.0996315i | \(-0.0317664\pi\) | |||||||
\(192\) | 14.5956 | + | 25.2804i | 1.05335 | + | 1.82445i | ||||
\(193\) | 0.0431908 | + | 0.0748087i | 0.00310894 | + | 0.00538485i | 0.867576 | − | 0.497305i | \(-0.165677\pi\) |
−0.864467 | + | 0.502690i | \(0.832344\pi\) | |||||||
\(194\) | 0.742709 | − | 1.28641i | 0.0533234 | − | 0.0923588i | ||||
\(195\) | −10.5510 | −0.755575 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 15.0589 | 1.07290 | 0.536451 | − | 0.843932i | \(-0.319765\pi\) | ||||
0.536451 | + | 0.843932i | \(0.319765\pi\) | |||||||
\(198\) | −3.74284 | + | 6.48278i | −0.265992 | + | 0.460711i | ||||
\(199\) | 7.72332 | + | 13.3772i | 0.547492 | + | 0.948284i | 0.998446 | + | 0.0557363i | \(0.0177506\pi\) |
−0.450954 | + | 0.892547i | \(0.648916\pi\) | |||||||
\(200\) | −7.56139 | − | 13.0967i | −0.534671 | − | 0.926077i | ||||
\(201\) | 7.24682 | − | 12.5519i | 0.511152 | − | 0.885340i | ||||
\(202\) | 0.712119 | 0.0501045 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 11.8875 | 0.832294 | ||||||||
\(205\) | 4.02993 | − | 6.98005i | 0.281463 | − | 0.487508i | ||||
\(206\) | −4.49776 | − | 7.79035i | −0.313374 | − | 0.542779i | ||||
\(207\) | 12.3101 | + | 21.3217i | 0.855611 | + | 1.48196i | ||||
\(208\) | −1.19333 | + | 2.06690i | −0.0827422 | + | 0.143314i | ||||
\(209\) | −0.945840 | −0.0654251 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −25.0561 | −1.72493 | −0.862466 | − | 0.506115i | \(-0.831081\pi\) | ||||
−0.862466 | + | 0.506115i | \(0.831081\pi\) | |||||||
\(212\) | −3.01823 | + | 5.22773i | −0.207293 | + | 0.359042i | ||||
\(213\) | 17.8691 | + | 30.9502i | 1.22437 | + | 2.12067i | ||||
\(214\) | 2.84028 | + | 4.91952i | 0.194158 | + | 0.336291i | ||||
\(215\) | −4.30024 | + | 7.44823i | −0.293274 | + | 0.507965i | ||||
\(216\) | −53.9285 | −3.66937 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −8.50491 | −0.576025 | ||||||||
\(219\) | 8.66987 | − | 15.0167i | 0.585855 | − | 1.01473i | ||||
\(220\) | 0.750728 | + | 1.30030i | 0.0506141 | + | 0.0876661i | ||||
\(221\) | 2.87670 | + | 4.98259i | 0.193508 | + | 0.335165i | ||||
\(222\) | −9.85216 | + | 17.0644i | −0.661234 | + | 1.14529i | ||||
\(223\) | 20.6640 | 1.38376 | 0.691881 | − | 0.722012i | \(-0.256782\pi\) | ||||
0.691881 | + | 0.722012i | \(0.256782\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 40.4368 | 2.69579 | ||||||||
\(226\) | −5.40678 | + | 9.36482i | −0.359654 | + | 0.622939i | ||||
\(227\) | 0.491189 | + | 0.850764i | 0.0326013 | + | 0.0564672i | 0.881866 | − | 0.471501i | \(-0.156287\pi\) |
−0.849264 | + | 0.527968i | \(0.822954\pi\) | |||||||
\(228\) | −1.26345 | − | 2.18835i | −0.0836737 | − | 0.144927i | ||||
\(229\) | −7.13712 | + | 12.3619i | −0.471634 | + | 0.816895i | −0.999473 | − | 0.0324498i | \(-0.989669\pi\) |
0.527839 | + | 0.849344i | \(0.323002\pi\) | |||||||
\(230\) | −11.0798 | −0.730581 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −7.59802 | −0.498835 | ||||||||
\(233\) | −0.697671 | + | 1.20840i | −0.0457060 | + | 0.0791651i | −0.887973 | − | 0.459895i | \(-0.847887\pi\) |
0.842267 | + | 0.539060i | \(0.181220\pi\) | |||||||
\(234\) | −4.83952 | − | 8.38230i | −0.316369 | − | 0.547968i | ||||
\(235\) | −8.45672 | − | 14.6475i | −0.551655 | − | 0.955495i | ||||
\(236\) | −0.772139 | + | 1.33738i | −0.0502620 | + | 0.0870563i | ||||
\(237\) | 1.81637 | 0.117986 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.54875 | 0.164865 | 0.0824326 | − | 0.996597i | \(-0.473731\pi\) | ||||
0.0824326 | + | 0.996597i | \(0.473731\pi\) | |||||||
\(240\) | 12.5908 | − | 21.8079i | 0.812733 | − | 1.40770i | ||||
\(241\) | 14.8373 | + | 25.6990i | 0.955755 | + | 1.65542i | 0.732631 | + | 0.680626i | \(0.238292\pi\) |
0.223124 | + | 0.974790i | \(0.428375\pi\) | |||||||
\(242\) | −6.11727 | − | 10.5954i | −0.393233 | − | 0.681099i | ||||
\(243\) | 30.7358 | − | 53.2359i | 1.97170 | − | 3.41509i | ||||
\(244\) | −6.73108 | −0.430913 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 10.0892 | 0.643264 | ||||||||
\(247\) | 0.611490 | − | 1.05913i | 0.0389082 | − | 0.0673909i | ||||
\(248\) | −9.44031 | − | 16.3511i | −0.599460 | − | 1.03830i | ||||
\(249\) | −25.5109 | − | 44.1861i | −1.61669 | − | 2.80018i | ||||
\(250\) | 0.159553 | − | 0.276353i | 0.0100910 | − | 0.0174781i | ||||
\(251\) | −18.0858 | −1.14157 | −0.570784 | − | 0.821100i | \(-0.693361\pi\) | ||||
−0.570784 | + | 0.821100i | \(0.693361\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.31384 | 0.145470 | ||||||||
\(254\) | −6.59359 | + | 11.4204i | −0.413719 | + | 0.716582i | ||||
\(255\) | −30.3521 | − | 52.5714i | −1.90072 | − | 3.29215i | ||||
\(256\) | 6.62352 | + | 11.4723i | 0.413970 | + | 0.717017i | ||||
\(257\) | 7.37014 | − | 12.7655i | 0.459737 | − | 0.796287i | −0.539210 | − | 0.842171i | \(-0.681277\pi\) |
0.998947 | + | 0.0458839i | \(0.0146104\pi\) | |||||||
\(258\) | −10.7659 | −0.670257 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −1.94140 | −0.120400 | ||||||||
\(261\) | 10.1582 | − | 17.5945i | 0.628776 | − | 1.08907i | ||||
\(262\) | −9.25540 | − | 16.0308i | −0.571800 | − | 0.990387i | ||||
\(263\) | 4.07961 | + | 7.06609i | 0.251560 | + | 0.435714i | 0.963955 | − | 0.266064i | \(-0.0857232\pi\) |
−0.712396 | + | 0.701778i | \(0.752390\pi\) | |||||||
\(264\) | −3.98798 | + | 6.90739i | −0.245443 | + | 0.425120i | ||||
\(265\) | 30.8255 | 1.89360 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 30.9367 | 1.89329 | ||||||||
\(268\) | 1.33342 | − | 2.30955i | 0.0814516 | − | 0.141078i | ||||
\(269\) | 0.221291 | + | 0.383288i | 0.0134924 | + | 0.0233695i | 0.872693 | − | 0.488270i | \(-0.162372\pi\) |
−0.859200 | + | 0.511639i | \(0.829038\pi\) | |||||||
\(270\) | 32.4470 | + | 56.1998i | 1.97466 | + | 3.42021i | ||||
\(271\) | −10.5416 | + | 18.2585i | −0.640354 | + | 1.10913i | 0.345000 | + | 0.938603i | \(0.387879\pi\) |
−0.985354 | + | 0.170523i | \(0.945454\pi\) | |||||||
\(272\) | −13.7314 | −0.832586 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 21.9018 | 1.32313 | ||||||||
\(275\) | 1.90015 | − | 3.29116i | 0.114584 | − | 0.198465i | ||||
\(276\) | 3.09081 | + | 5.35345i | 0.186045 | + | 0.322240i | ||||
\(277\) | −1.79710 | − | 3.11267i | −0.107977 | − | 0.187022i | 0.806973 | − | 0.590588i | \(-0.201104\pi\) |
−0.914951 | + | 0.403565i | \(0.867771\pi\) | |||||||
\(278\) | 7.00635 | − | 12.1354i | 0.420213 | − | 0.727831i | ||||
\(279\) | 50.4849 | 3.02245 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.01252 | −0.537642 | −0.268821 | − | 0.963190i | \(-0.586634\pi\) | ||||
−0.268821 | + | 0.963190i | \(0.586634\pi\) | |||||||
\(282\) | 10.5860 | − | 18.3355i | 0.630386 | − | 1.09186i | ||||
\(283\) | 13.8706 | + | 24.0245i | 0.824520 | + | 1.42811i | 0.902286 | + | 0.431139i | \(0.141888\pi\) |
−0.0777659 | + | 0.996972i | \(0.524779\pi\) | |||||||
\(284\) | 3.28792 | + | 5.69485i | 0.195102 | + | 0.337927i | ||||
\(285\) | −6.45185 | + | 11.1749i | −0.382174 | + | 0.661945i | ||||
\(286\) | −0.909650 | −0.0537887 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −27.5516 | −1.62349 | ||||||||
\(289\) | −8.05080 | + | 13.9444i | −0.473576 | + | 0.820258i | ||||
\(290\) | 4.57148 | + | 7.91803i | 0.268446 | + | 0.464963i | ||||
\(291\) | 2.11600 | + | 3.66502i | 0.124042 | + | 0.214848i | ||||
\(292\) | 1.59526 | − | 2.76307i | 0.0933556 | − | 0.161697i | ||||
\(293\) | −12.7409 | −0.744333 | −0.372167 | − | 0.928166i | \(-0.621385\pi\) | ||||
−0.372167 | + | 0.928166i | \(0.621385\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.88593 | 0.459137 | ||||||||
\(296\) | −7.69295 | + | 13.3246i | −0.447143 | + | 0.774475i | ||||
\(297\) | −6.77603 | − | 11.7364i | −0.393185 | − | 0.681017i | ||||
\(298\) | 6.68976 | + | 11.5870i | 0.387527 | + | 0.671217i | ||||
\(299\) | −1.49591 | + | 2.59099i | −0.0865107 | + | 0.149841i | ||||
\(300\) | 10.1528 | 0.586175 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 4.34307 | 0.249916 | ||||||||
\(303\) | −1.01443 | + | 1.75704i | −0.0582773 | + | 0.100939i | ||||
\(304\) | 1.45941 | + | 2.52778i | 0.0837031 | + | 0.144978i | ||||
\(305\) | 17.1863 | + | 29.7675i | 0.984085 | + | 1.70448i | ||||
\(306\) | 27.8437 | − | 48.2267i | 1.59172 | − | 2.75694i | ||||
\(307\) | −10.1384 | −0.578626 | −0.289313 | − | 0.957235i | \(-0.593427\pi\) | ||||
−0.289313 | + | 0.957235i | \(0.593427\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 25.6286 | 1.45796 | ||||||||
\(310\) | −11.3598 | + | 19.6758i | −0.645195 | + | 1.11751i | ||||
\(311\) | 10.3006 | + | 17.8412i | 0.584096 | + | 1.01168i | 0.994987 | + | 0.0999994i | \(0.0318841\pi\) |
−0.410892 | + | 0.911684i | \(0.634783\pi\) | |||||||
\(312\) | −5.15650 | − | 8.93132i | −0.291929 | − | 0.505636i | ||||
\(313\) | 8.27280 | − | 14.3289i | 0.467606 | − | 0.809918i | −0.531709 | − | 0.846927i | \(-0.678450\pi\) |
0.999315 | + | 0.0370095i | \(0.0117832\pi\) | |||||||
\(314\) | 1.31809 | 0.0743841 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.334213 | 0.0188010 | ||||||||
\(317\) | 10.6170 | − | 18.3892i | 0.596310 | − | 1.03284i | −0.397050 | − | 0.917797i | \(-0.629966\pi\) |
0.993361 | − | 0.115043i | \(-0.0367006\pi\) | |||||||
\(318\) | 19.2934 | + | 33.4172i | 1.08192 | + | 1.87394i | ||||
\(319\) | −0.954680 | − | 1.65355i | −0.0534518 | − | 0.0925813i | ||||
\(320\) | 13.7142 | − | 23.7537i | 0.766646 | − | 1.32787i | ||||
\(321\) | −16.1841 | −0.903310 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 7.03629 | 0.391510 | ||||||||
\(324\) | 10.4918 | − | 18.1723i | 0.582875 | − | 1.00957i | ||||
\(325\) | 2.45692 | + | 4.25550i | 0.136285 | + | 0.236053i | ||||
\(326\) | −11.9639 | − | 20.7220i | −0.662617 | − | 1.14769i | ||||
\(327\) | 12.1154 | − | 20.9845i | 0.669982 | − | 1.16044i | ||||
\(328\) | 7.87804 | 0.434992 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 9.59774 | 0.528338 | ||||||||
\(331\) | −8.12074 | + | 14.0655i | −0.446356 | + | 0.773111i | −0.998146 | − | 0.0608720i | \(-0.980612\pi\) |
0.551789 | + | 0.833983i | \(0.313945\pi\) | |||||||
\(332\) | −4.69402 | − | 8.13028i | −0.257618 | − | 0.446207i | ||||
\(333\) | −20.5702 | − | 35.6286i | −1.12724 | − | 1.95243i | ||||
\(334\) | −7.64890 | + | 13.2483i | −0.418529 | + | 0.724914i | ||||
\(335\) | −13.6184 | −0.744050 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.42141 | 0.349797 | 0.174898 | − | 0.984586i | \(-0.444040\pi\) | ||||
0.174898 | + | 0.984586i | \(0.444040\pi\) | |||||||
\(338\) | 0.588093 | − | 1.01861i | 0.0319881 | − | 0.0554049i | ||||
\(339\) | −15.4041 | − | 26.6807i | −0.836636 | − | 1.44910i | ||||
\(340\) | −5.58481 | − | 9.67318i | −0.302879 | − | 0.524602i | ||||
\(341\) | 2.37232 | − | 4.10898i | 0.128468 | − | 0.222514i | ||||
\(342\) | −11.8373 | −0.640086 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −8.40645 | −0.453245 | ||||||||
\(345\) | 15.7834 | − | 27.3376i | 0.849749 | − | 1.47181i | ||||
\(346\) | 15.2381 | + | 26.3932i | 0.819205 | + | 1.41890i | ||||
\(347\) | −7.24046 | − | 12.5408i | −0.388688 | − | 0.673228i | 0.603585 | − | 0.797298i | \(-0.293738\pi\) |
−0.992273 | + | 0.124071i | \(0.960405\pi\) | |||||||
\(348\) | 2.55051 | − | 4.41761i | 0.136722 | − | 0.236809i | ||||
\(349\) | −1.74500 | −0.0934079 | −0.0467040 | − | 0.998909i | \(-0.514872\pi\) | ||||
−0.0467040 | + | 0.998909i | \(0.514872\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 17.5229 | 0.935306 | ||||||||
\(352\) | −1.29467 | + | 2.24243i | −0.0690061 | + | 0.119522i | ||||
\(353\) | 7.97900 | + | 13.8200i | 0.424679 | + | 0.735566i | 0.996390 | − | 0.0848891i | \(-0.0270536\pi\) |
−0.571711 | + | 0.820455i | \(0.693720\pi\) | |||||||
\(354\) | 4.93574 | + | 8.54895i | 0.262332 | + | 0.454372i | ||||
\(355\) | 16.7899 | − | 29.0810i | 0.891118 | − | 1.54346i | ||||
\(356\) | 5.69237 | 0.301695 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −11.3404 | −0.599356 | ||||||||
\(359\) | −4.40700 | + | 7.63315i | −0.232593 | + | 0.402862i | −0.958570 | − | 0.284856i | \(-0.908054\pi\) |
0.725978 | + | 0.687718i | \(0.241388\pi\) | |||||||
\(360\) | 39.8711 | + | 69.0588i | 2.10139 | + | 3.63972i | ||||
\(361\) | 8.75216 | + | 15.1592i | 0.460640 | + | 0.797852i | ||||
\(362\) | 1.72125 | − | 2.98129i | 0.0904670 | − | 0.156693i | ||||
\(363\) | 34.8566 | 1.82950 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −16.2926 | −0.852792 | ||||||||
\(366\) | −21.5135 | + | 37.2625i | −1.12453 | + | 1.94774i | ||||
\(367\) | −9.85399 | − | 17.0676i | −0.514374 | − | 0.890922i | −0.999861 | − | 0.0166783i | \(-0.994691\pi\) |
0.485487 | − | 0.874244i | \(-0.338642\pi\) | |||||||
\(368\) | −3.57022 | − | 6.18379i | −0.186110 | − | 0.322353i | ||||
\(369\) | −10.5325 | + | 18.2429i | −0.548302 | + | 0.949687i | ||||
\(370\) | 18.5144 | 0.962515 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 12.6757 | 0.657205 | ||||||||
\(373\) | 0.182896 | − | 0.316785i | 0.00947000 | − | 0.0164025i | −0.861252 | − | 0.508179i | \(-0.830319\pi\) |
0.870722 | + | 0.491776i | \(0.163652\pi\) | |||||||
\(374\) | −2.61679 | − | 4.53241i | −0.135311 | − | 0.234366i | ||||
\(375\) | 0.454571 | + | 0.787341i | 0.0234740 | + | 0.0406581i | ||||
\(376\) | 8.26594 | − | 14.3170i | 0.426283 | − | 0.738344i | ||||
\(377\) | 2.46882 | 0.127151 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7.39215 | 0.379709 | 0.189855 | − | 0.981812i | \(-0.439198\pi\) | ||||
0.189855 | + | 0.981812i | \(0.439198\pi\) | |||||||
\(380\) | −1.18714 | + | 2.05619i | −0.0608992 | + | 0.105481i | ||||
\(381\) | −18.7854 | − | 32.5372i | −0.962404 | − | 1.66693i | ||||
\(382\) | −9.48973 | − | 16.4367i | −0.485537 | − | 0.840974i | ||||
\(383\) | −1.67682 | + | 2.90433i | −0.0856814 | + | 0.148405i | −0.905681 | − | 0.423959i | \(-0.860640\pi\) |
0.820000 | + | 0.572364i | \(0.193973\pi\) | |||||||
\(384\) | 11.8958 | 0.607057 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0.101601 | 0.00517135 | ||||||||
\(387\) | 11.2390 | − | 19.4665i | 0.571311 | − | 0.989539i | ||||
\(388\) | 0.389346 | + | 0.674367i | 0.0197660 | + | 0.0342358i | ||||
\(389\) | 1.29672 | + | 2.24598i | 0.0657462 | + | 0.113876i | 0.897025 | − | 0.441980i | \(-0.145724\pi\) |
−0.831279 | + | 0.555856i | \(0.812391\pi\) | |||||||
\(390\) | −6.20499 | + | 10.7474i | −0.314202 | + | 0.544213i | ||||
\(391\) | −17.2131 | −0.870506 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 52.7379 | 2.66027 | ||||||||
\(394\) | 8.85603 | − | 15.3391i | 0.446160 | − | 0.772773i | ||||
\(395\) | −0.853338 | − | 1.47802i | −0.0429361 | − | 0.0743675i | ||||
\(396\) | −1.96209 | − | 3.39843i | −0.0985985 | − | 0.170778i | ||||
\(397\) | −16.7457 | + | 29.0044i | −0.840441 | + | 1.45569i | 0.0490806 | + | 0.998795i | \(0.484371\pi\) |
−0.889522 | + | 0.456892i | \(0.848962\pi\) | |||||||
\(398\) | 18.1681 | 0.910686 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −11.7276 | −0.586380 | ||||||||
\(401\) | −19.7578 | + | 34.2215i | −0.986657 | + | 1.70894i | −0.352330 | + | 0.935876i | \(0.614611\pi\) |
−0.634327 | + | 0.773065i | \(0.718723\pi\) | |||||||
\(402\) | −8.52362 | − | 14.7633i | −0.425119 | − | 0.736328i | ||||
\(403\) | 3.06743 | + | 5.31295i | 0.152800 | + | 0.264657i | ||||
\(404\) | −0.186655 | + | 0.323296i | −0.00928644 | + | 0.0160846i | ||||
\(405\) | −107.153 | −5.32449 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.86643 | −0.191652 | ||||||||
\(408\) | 29.6674 | − | 51.3854i | 1.46876 | − | 2.54396i | ||||
\(409\) | −5.48996 | − | 9.50889i | −0.271461 | − | 0.470184i | 0.697775 | − | 0.716317i | \(-0.254173\pi\) |
−0.969236 | + | 0.246133i | \(0.920840\pi\) | |||||||
\(410\) | −4.73995 | − | 8.20984i | −0.234090 | − | 0.405455i | ||||
\(411\) | −31.1994 | + | 54.0390i | −1.53895 | + | 2.66555i | ||||
\(412\) | 4.71567 | 0.232324 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 28.9580 | 1.42321 | ||||||||
\(415\) | −23.9702 | + | 41.5177i | −1.17665 | + | 2.03802i | ||||
\(416\) | −1.67402 | − | 2.89949i | −0.0820755 | − | 0.142159i | ||||
\(417\) | 19.9613 | + | 34.5741i | 0.977511 | + | 1.69310i | ||||
\(418\) | −0.556242 | + | 0.963439i | −0.0272067 | + | 0.0471234i | ||||
\(419\) | −31.5621 | −1.54191 | −0.770954 | − | 0.636891i | \(-0.780220\pi\) | ||||
−0.770954 | + | 0.636891i | \(0.780220\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −17.7055 | −0.862914 | −0.431457 | − | 0.902134i | \(-0.642000\pi\) | ||||
−0.431457 | + | 0.902134i | \(0.642000\pi\) | |||||||
\(422\) | −14.7353 | + | 25.5223i | −0.717304 | + | 1.24241i | ||||
\(423\) | 22.1023 | + | 38.2823i | 1.07465 | + | 1.86135i | ||||
\(424\) | 15.0650 | + | 26.0934i | 0.731623 | + | 1.26721i | ||||
\(425\) | −14.1356 | + | 24.4836i | −0.685678 | + | 1.18763i | ||||
\(426\) | 42.0348 | 2.03659 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −2.97789 | −0.143942 | ||||||||
\(429\) | 1.29581 | − | 2.24441i | 0.0625624 | − | 0.108361i | ||||
\(430\) | 5.05788 | + | 8.76050i | 0.243913 | + | 0.422469i | ||||
\(431\) | 10.7408 | + | 18.6036i | 0.517367 | + | 0.896106i | 0.999797 | + | 0.0201713i | \(0.00642116\pi\) |
−0.482429 | + | 0.875935i | \(0.660246\pi\) | |||||||
\(432\) | −20.9106 | + | 36.2182i | −1.00606 | + | 1.74255i | ||||
\(433\) | −34.7200 | −1.66854 | −0.834269 | − | 0.551358i | \(-0.814110\pi\) | ||||
−0.834269 | + | 0.551358i | \(0.814110\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −26.0486 | −1.24893 | ||||||||
\(436\) | 2.22924 | − | 3.86116i | 0.106761 | − | 0.184916i | ||||
\(437\) | 1.82947 | + | 3.16873i | 0.0875153 | + | 0.151581i | ||||
\(438\) | −10.1974 | − | 17.6624i | −0.487250 | − | 0.843941i | ||||
\(439\) | 0.364253 | − | 0.630904i | 0.0173848 | − | 0.0301114i | −0.857202 | − | 0.514980i | \(-0.827799\pi\) |
0.874587 | + | 0.484869i | \(0.161133\pi\) | |||||||
\(440\) | 7.49428 | 0.357276 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.76707 | 0.321877 | ||||||||
\(443\) | −0.418645 | + | 0.725115i | −0.0198904 | + | 0.0344513i | −0.875799 | − | 0.482675i | \(-0.839665\pi\) |
0.855909 | + | 0.517127i | \(0.172998\pi\) | |||||||
\(444\) | −5.16474 | − | 8.94560i | −0.245108 | − | 0.424539i | ||||
\(445\) | −14.5342 | − | 25.1739i | −0.688986 | − | 1.19336i | ||||
\(446\) | 12.1523 | − | 21.0485i | 0.575430 | − | 0.996674i | ||||
\(447\) | −38.1187 | −1.80295 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 26.4312 | 1.24737 | 0.623683 | − | 0.781677i | \(-0.285635\pi\) | ||||
0.623683 | + | 0.781677i | \(0.285635\pi\) | |||||||
\(450\) | 23.7806 | − | 41.1892i | 1.12103 | − | 1.94168i | ||||
\(451\) | 0.989863 | + | 1.71449i | 0.0466108 | + | 0.0807324i | ||||
\(452\) | −2.83437 | − | 4.90927i | −0.133317 | − | 0.230912i | ||||
\(453\) | −6.18678 | + | 10.7158i | −0.290680 | + | 0.503473i | ||||
\(454\) | 1.15546 | 0.0542284 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −12.6126 | −0.590639 | ||||||||
\(457\) | 1.20237 | − | 2.08257i | 0.0562447 | − | 0.0974186i | −0.836532 | − | 0.547918i | \(-0.815421\pi\) |
0.892777 | + | 0.450499i | \(0.148754\pi\) | |||||||
\(458\) | 8.39459 | + | 14.5399i | 0.392253 | + | 0.679403i | ||||
\(459\) | 50.4082 | + | 87.3096i | 2.35286 | + | 4.07526i | ||||
\(460\) | 2.90415 | − | 5.03014i | 0.135407 | − | 0.234532i | ||||
\(461\) | 22.2702 | 1.03722 | 0.518612 | − | 0.855010i | \(-0.326449\pi\) | ||||
0.518612 | + | 0.855010i | \(0.326449\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 32.3085 | 1.50151 | 0.750753 | − | 0.660583i | \(-0.229691\pi\) | ||||
0.750753 | + | 0.660583i | \(0.229691\pi\) | |||||||
\(464\) | −2.94611 | + | 5.10281i | −0.136770 | + | 0.236892i | ||||
\(465\) | −32.3646 | − | 56.0571i | −1.50087 | − | 2.59958i | ||||
\(466\) | 0.820592 | + | 1.42131i | 0.0380132 | + | 0.0658407i | ||||
\(467\) | −6.43720 | + | 11.1496i | −0.297878 | + | 0.515940i | −0.975650 | − | 0.219332i | \(-0.929612\pi\) |
0.677772 | + | 0.735272i | \(0.262946\pi\) | |||||||
\(468\) | 5.07399 | 0.234545 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −19.8934 | −0.917612 | ||||||||
\(471\) | −1.87764 | + | 3.25217i | −0.0865172 | + | 0.149852i | ||||
\(472\) | 3.85401 | + | 6.67535i | 0.177395 | + | 0.307258i | ||||
\(473\) | −1.05626 | − | 1.82949i | −0.0485668 | − | 0.0841201i | ||||
\(474\) | 1.06819 | − | 1.85017i | 0.0490638 | − | 0.0849809i | ||||
\(475\) | 6.00952 | 0.275736 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −80.5649 | −3.68881 | ||||||||
\(478\) | 1.49891 | − | 2.59618i | 0.0685583 | − | 0.118747i | ||||
\(479\) | 5.27093 | + | 9.12952i | 0.240835 | + | 0.417138i | 0.960952 | − | 0.276714i | \(-0.0892454\pi\) |
−0.720117 | + | 0.693852i | \(0.755912\pi\) | |||||||
\(480\) | 17.6626 | + | 30.5926i | 0.806185 | + | 1.39635i | ||||
\(481\) | 2.49966 | − | 4.32954i | 0.113975 | − | 0.197410i | ||||
\(482\) | 34.9029 | 1.58978 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.41364 | 0.291529 | ||||||||
\(485\) | 1.98821 | − | 3.44369i | 0.0902802 | − | 0.156370i | ||||
\(486\) | −36.1510 | − | 62.6154i | −1.63984 | − | 2.84029i | ||||
\(487\) | −19.1208 | − | 33.1182i | −0.866446 | − | 1.50073i | −0.865604 | − | 0.500728i | \(-0.833066\pi\) |
−0.000841391 | − | 1.00000i | \(-0.500268\pi\) | |||||||
\(488\) | −16.7986 | + | 29.0960i | −0.760436 | + | 1.31711i | ||||
\(489\) | 68.1709 | 3.08280 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −15.4291 | −0.696306 | −0.348153 | − | 0.937438i | \(-0.613191\pi\) | ||||
−0.348153 | + | 0.937438i | \(0.613191\pi\) | |||||||
\(492\) | −2.64450 | + | 4.58042i | −0.119223 | + | 0.206501i | ||||
\(493\) | 7.10206 | + | 12.3011i | 0.319861 | + | 0.554015i | ||||
\(494\) | −0.719226 | − | 1.24574i | −0.0323595 | − | 0.0560483i | ||||
\(495\) | −10.0195 | + | 17.3543i | −0.450342 | + | 0.780016i | ||||
\(496\) | −14.6418 | −0.657436 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −60.0111 | −2.68916 | ||||||||
\(499\) | 19.4106 | − | 33.6202i | 0.868938 | − | 1.50505i | 0.00585522 | − | 0.999983i | \(-0.498136\pi\) |
0.863083 | − | 0.505062i | \(-0.168530\pi\) | |||||||
\(500\) | 0.0836414 | + | 0.144871i | 0.00374056 | + | 0.00647884i | ||||
\(501\) | −21.7920 | − | 37.7448i | −0.973594 | − | 1.68631i | ||||
\(502\) | −10.6362 | + | 18.4224i | −0.474715 | + | 0.822230i | ||||
\(503\) | 27.0935 | 1.20804 | 0.604020 | − | 0.796969i | \(-0.293565\pi\) | ||||
0.604020 | + | 0.796969i | \(0.293565\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.90633 | 0.0848304 | ||||||||
\(506\) | 1.36075 | − | 2.35690i | 0.0604929 | − | 0.104777i | ||||
\(507\) | 1.67550 | + | 2.90205i | 0.0744115 | + | 0.128884i | ||||
\(508\) | −3.45652 | − | 5.98687i | −0.153358 | − | 0.265624i | ||||
\(509\) | −7.88464 | + | 13.6566i | −0.349480 | + | 0.605318i | −0.986157 | − | 0.165813i | \(-0.946975\pi\) |
0.636677 | + | 0.771131i | \(0.280309\pi\) | |||||||
\(510\) | −71.3995 | −3.16162 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 22.6809 | 1.00236 | ||||||||
\(513\) | 10.7151 | − | 18.5591i | 0.473083 | − | 0.819404i | ||||
\(514\) | −8.66866 | − | 15.0146i | −0.382358 | − | 0.662264i | ||||
\(515\) | −12.0404 | − | 20.8546i | −0.530563 | − | 0.918963i | ||||
\(516\) | 2.82188 | − | 4.88764i | 0.124226 | − | 0.215166i | ||||
\(517\) | 4.15441 | 0.182711 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −86.8277 | −3.81131 | ||||||||
\(520\) | −4.84509 | + | 8.39194i | −0.212471 | + | 0.368011i | ||||
\(521\) | 3.65369 | + | 6.32837i | 0.160071 | + | 0.277251i | 0.934894 | − | 0.354927i | \(-0.115494\pi\) |
−0.774823 | + | 0.632178i | \(0.782161\pi\) | |||||||
\(522\) | −11.9479 | − | 20.6944i | −0.522946 | − | 0.905769i | ||||
\(523\) | 7.04128 | − | 12.1959i | 0.307894 | − | 0.533288i | −0.670008 | − | 0.742354i | \(-0.733709\pi\) |
0.977901 | + | 0.209066i | \(0.0670425\pi\) | |||||||
\(524\) | 9.70381 | 0.423913 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 9.59677 | 0.418439 | ||||||||
\(527\) | −17.6482 | + | 30.5675i | −0.768766 | + | 1.33154i | ||||
\(528\) | 3.09265 | + | 5.35663i | 0.134590 | + | 0.233117i | ||||
\(529\) | 7.02451 | + | 12.1668i | 0.305413 | + | 0.528991i | ||||
\(530\) | 18.1283 | − | 31.3991i | 0.787442 | − | 1.36389i | ||||
\(531\) | −20.6105 | −0.894419 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −2.55981 | −0.110877 | ||||||||
\(534\) | 18.1936 | − | 31.5123i | 0.787316 | − | 1.36367i | ||||
\(535\) | 7.60337 | + | 13.1694i | 0.328723 | + | 0.569364i | ||||
\(536\) | −6.65556 | − | 11.5278i | −0.287477 | − | 0.497924i | ||||
\(537\) | 16.1545 | − | 27.9805i | 0.697119 | − | 1.20745i | ||||
\(538\) | 0.520559 | 0.0224429 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −34.0190 | −1.46394 | ||||||||
\(541\) | 19.5875 | − | 33.9265i | 0.842132 | − | 1.45862i | −0.0459559 | − | 0.998943i | \(-0.514633\pi\) |
0.888088 | − | 0.459673i | \(-0.152033\pi\) | |||||||
\(542\) | 12.3988 | + | 21.4754i | 0.532576 | + | 0.922448i | ||||
\(543\) | 4.90390 | + | 8.49381i | 0.210447 | + | 0.364504i | ||||
\(544\) | 9.63130 | − | 16.6819i | 0.412939 | − | 0.715231i | ||||
\(545\) | −22.7674 | −0.975250 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 38.7917 | 1.65862 | 0.829308 | − | 0.558792i | \(-0.188735\pi\) | ||||
0.829308 | + | 0.558792i | \(0.188735\pi\) | |||||||
\(548\) | −5.74072 | + | 9.94321i | −0.245231 | + | 0.424753i | ||||
\(549\) | −44.9177 | − | 77.7998i | −1.91704 | − | 3.32041i | ||||
\(550\) | −2.23494 | − | 3.87102i | −0.0952980 | − | 0.165061i | ||||
\(551\) | 1.50966 | − | 2.61481i | 0.0643136 | − | 0.111394i | ||||
\(552\) | 30.8546 | 1.31326 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −4.22746 | −0.179607 | ||||||||
\(555\) | −26.3740 | + | 45.6811i | −1.11951 | + | 1.93906i | ||||
\(556\) | 3.67290 | + | 6.36165i | 0.155766 | + | 0.269794i | ||||
\(557\) | 13.7347 | + | 23.7891i | 0.581956 | + | 1.00798i | 0.995247 | + | 0.0973791i | \(0.0310459\pi\) |
−0.413291 | + | 0.910599i | \(0.635621\pi\) | |||||||
\(558\) | 29.6898 | − | 51.4243i | 1.25687 | − | 2.17696i | ||||
\(559\) | 2.73150 | 0.115530 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 14.9107 | 0.629528 | ||||||||
\(562\) | −5.30020 | + | 9.18022i | −0.223576 | + | 0.387244i | ||||
\(563\) | 7.06050 | + | 12.2291i | 0.297565 | + | 0.515397i | 0.975578 | − | 0.219652i | \(-0.0704923\pi\) |
−0.678014 | + | 0.735049i | \(0.737159\pi\) | |||||||
\(564\) | 5.54943 | + | 9.61189i | 0.233673 | + | 0.404734i | ||||
\(565\) | −14.4738 | + | 25.0694i | −0.608919 | + | 1.05468i | ||||
\(566\) | 32.6288 | 1.37149 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 32.8223 | 1.37720 | ||||||||
\(569\) | 4.14324 | − | 7.17631i | 0.173694 | − | 0.300846i | −0.766015 | − | 0.642823i | \(-0.777763\pi\) |
0.939708 | + | 0.341977i | \(0.111096\pi\) | |||||||
\(570\) | 7.58857 | + | 13.1438i | 0.317850 | + | 0.550533i | ||||
\(571\) | 11.7637 | + | 20.3753i | 0.492295 | + | 0.852681i | 0.999961 | − | 0.00887373i | \(-0.00282463\pi\) |
−0.507665 | + | 0.861554i | \(0.669491\pi\) | |||||||
\(572\) | 0.238430 | − | 0.412974i | 0.00996928 | − | 0.0172673i | ||||
\(573\) | 54.0731 | 2.25894 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −14.7013 | −0.613087 | ||||||||
\(576\) | −35.8431 | + | 62.0820i | −1.49346 | + | 2.58675i | ||||
\(577\) | −8.88658 | − | 15.3920i | −0.369953 | − | 0.640777i | 0.619605 | − | 0.784914i | \(-0.287293\pi\) |
−0.989558 | + | 0.144137i | \(0.953960\pi\) | |||||||
\(578\) | 9.46924 | + | 16.4012i | 0.393869 | + | 0.682200i | ||||
\(579\) | −0.144732 | + | 0.250684i | −0.00601487 | + | 0.0104181i | ||||
\(580\) | −4.79296 | −0.199017 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 4.97763 | 0.206329 | ||||||||
\(583\) | −3.78580 | + | 6.55720i | −0.156792 | + | 0.271571i | ||||
\(584\) | −7.96250 | − | 13.7915i | −0.329491 | − | 0.570695i | ||||
\(585\) | −12.9553 | − | 22.4392i | −0.535635 | − | 0.927747i | ||||
\(586\) | −7.49286 | + | 12.9780i | −0.309527 | + | 0.536117i | ||||
\(587\) | 6.64096 | 0.274102 | 0.137051 | − | 0.990564i | \(-0.456238\pi\) | ||||
0.137051 | + | 0.990564i | \(0.456238\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.50282 | 0.309148 | ||||||||
\(590\) | 4.63766 | − | 8.03266i | 0.190929 | − | 0.330700i | ||||
\(591\) | 25.2311 | + | 43.7016i | 1.03787 | + | 1.79764i | ||||
\(592\) | 5.96583 | + | 10.3331i | 0.245194 | + | 0.424688i | ||||
\(593\) | 17.0252 | − | 29.4885i | 0.699141 | − | 1.21095i | −0.269624 | − | 0.962966i | \(-0.586899\pi\) |
0.968765 | − | 0.247982i | \(-0.0797674\pi\) | |||||||
\(594\) | −15.9398 | −0.654016 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −7.01387 | −0.287299 | ||||||||
\(597\) | −25.8808 | + | 44.8269i | −1.05923 | + | 1.83464i | ||||
\(598\) | 1.75947 | + | 3.04749i | 0.0719500 | + | 0.124621i | ||||
\(599\) | −4.69221 | − | 8.12714i | −0.191718 | − | 0.332066i | 0.754101 | − | 0.656758i | \(-0.228073\pi\) |
−0.945820 | + | 0.324692i | \(0.894739\pi\) | |||||||
\(600\) | 25.3382 | − | 43.8870i | 1.03443 | − | 1.79168i | ||||
\(601\) | −8.80294 | −0.359079 | −0.179540 | − | 0.983751i | \(-0.557461\pi\) | ||||
−0.179540 | + | 0.983751i | \(0.557461\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 35.5926 | 1.44944 | ||||||||
\(604\) | −1.13837 | + | 1.97172i | −0.0463197 | + | 0.0802281i | ||||
\(605\) | −16.3758 | − | 28.3637i | −0.665770 | − | 1.15315i | ||||
\(606\) | 1.19315 | + | 2.06660i | 0.0484686 | + | 0.0839500i | ||||
\(607\) | 8.88598 | − | 15.3910i | 0.360671 | − | 0.624700i | −0.627401 | − | 0.778697i | \(-0.715881\pi\) |
0.988071 | + | 0.153997i | \(0.0492145\pi\) | |||||||
\(608\) | −4.09458 | −0.166057 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 40.4286 | 1.63691 | ||||||||
\(611\) | −2.68585 | + | 4.65202i | −0.108658 | + | 0.188201i | ||||
\(612\) | 14.5963 | + | 25.2816i | 0.590022 | + | 1.02195i | ||||
\(613\) | −5.30405 | − | 9.18688i | −0.214228 | − | 0.371055i | 0.738805 | − | 0.673919i | \(-0.235390\pi\) |
−0.953034 | + | 0.302865i | \(0.902057\pi\) | |||||||
\(614\) | −5.96230 | + | 10.3270i | −0.240619 | + | 0.416764i | ||||
\(615\) | 27.0086 | 1.08909 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 49.3483 | 1.98669 | 0.993344 | − | 0.115188i | \(-0.0367469\pi\) | ||||
0.993344 | + | 0.115188i | \(0.0367469\pi\) | |||||||
\(618\) | 15.0720 | − | 26.1054i | 0.606284 | − | 1.05011i | ||||
\(619\) | 3.71101 | + | 6.42767i | 0.149158 | + | 0.258350i | 0.930917 | − | 0.365232i | \(-0.119010\pi\) |
−0.781758 | + | 0.623582i | \(0.785677\pi\) | |||||||
\(620\) | −5.95510 | − | 10.3145i | −0.239163 | − | 0.414242i | ||||
\(621\) | −26.2127 | + | 45.4018i | −1.05188 | + | 1.82191i | ||||
\(622\) | 24.2309 | 0.971573 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −7.99766 | −0.320163 | ||||||||
\(625\) | 12.7117 | − | 22.0173i | 0.508468 | − | 0.880693i | ||||
\(626\) | −9.73036 | − | 16.8535i | −0.388903 | − | 0.673600i | ||||
\(627\) | −1.58475 | − | 2.74487i | −0.0632889 | − | 0.109620i | ||||
\(628\) | −0.345487 | + | 0.598402i | −0.0137864 | + | 0.0238788i | ||||
\(629\) | 28.7631 | 1.14686 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 35.5184 | 1.41396 | 0.706982 | − | 0.707231i | \(-0.250056\pi\) | ||||
0.706982 | + | 0.707231i | \(0.250056\pi\) | |||||||
\(632\) | 0.834087 | − | 1.44468i | 0.0331782 | − | 0.0574663i | ||||
\(633\) | −41.9814 | − | 72.7139i | −1.66861 | − | 2.89012i | ||||
\(634\) | −12.4876 | − | 21.6291i | −0.495945 | − | 0.859002i | ||||
\(635\) | −17.6509 | + | 30.5722i | −0.700454 | + | 1.21322i | ||||
\(636\) | −20.2282 | −0.802099 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −2.24576 | −0.0889106 | ||||||||
\(639\) | −43.8818 | + | 76.0056i | −1.73594 | + | 3.00673i | ||||
\(640\) | −5.58872 | − | 9.67994i | −0.220913 | − | 0.382633i | ||||
\(641\) | −18.5777 | − | 32.1775i | −0.733775 | − | 1.27093i | −0.955259 | − | 0.295771i | \(-0.904424\pi\) |
0.221484 | − | 0.975164i | \(-0.428910\pi\) | |||||||
\(642\) | −9.51778 | + | 16.4853i | −0.375637 | + | 0.650622i | ||||
\(643\) | −39.7694 | −1.56835 | −0.784176 | − | 0.620538i | \(-0.786914\pi\) | ||||
−0.784176 | + | 0.620538i | \(0.786914\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −28.8201 | −1.13479 | ||||||||
\(646\) | 4.13799 | − | 7.16722i | 0.162807 | − | 0.281990i | ||||
\(647\) | 11.4877 | + | 19.8973i | 0.451628 | + | 0.782243i | 0.998487 | − | 0.0549819i | \(-0.0175101\pi\) |
−0.546859 | + | 0.837224i | \(0.684177\pi\) | |||||||
\(648\) | −52.3680 | − | 90.7040i | −2.05721 | − | 3.56319i | ||||
\(649\) | −0.968502 | + | 1.67749i | −0.0380170 | + | 0.0658474i | ||||
\(650\) | 5.77958 | 0.226694 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 12.5435 | 0.491241 | ||||||||
\(653\) | −9.08783 | + | 15.7406i | −0.355634 | + | 0.615976i | −0.987226 | − | 0.159324i | \(-0.949068\pi\) |
0.631592 | + | 0.775301i | \(0.282402\pi\) | |||||||
\(654\) | −14.2500 | − | 24.6816i | −0.557217 | − | 0.965129i | ||||
\(655\) | −24.7765 | − | 42.9141i | −0.968097 | − | 1.67679i | ||||
\(656\) | 3.05468 | − | 5.29086i | 0.119265 | − | 0.206574i | ||||
\(657\) | 42.5819 | 1.66128 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 14.1044 | 0.549431 | 0.274716 | − | 0.961526i | \(-0.411416\pi\) | ||||
0.274716 | + | 0.961526i | \(0.411416\pi\) | |||||||
\(660\) | −2.51569 | + | 4.35730i | −0.0979229 | + | 0.169607i | ||||
\(661\) | −6.42783 | − | 11.1333i | −0.250013 | − | 0.433036i | 0.713516 | − | 0.700639i | \(-0.247102\pi\) |
−0.963529 | + | 0.267603i | \(0.913768\pi\) | |||||||
\(662\) | 9.55150 | + | 16.5437i | 0.371230 | + | 0.642989i | ||||
\(663\) | −9.63981 | + | 16.6966i | −0.374379 | + | 0.648444i | ||||
\(664\) | −46.8590 | −1.81848 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −48.3887 | −1.87502 | ||||||||
\(667\) | −3.69313 | + | 6.39670i | −0.142999 | + | 0.247681i | ||||
\(668\) | −4.00974 | − | 6.94507i | −0.155141 | − | 0.268713i | ||||
\(669\) | 34.6224 | + | 59.9678i | 1.33858 | + | 2.31849i | ||||
\(670\) | −8.00886 | + | 13.8718i | −0.309409 | + | 0.535913i | ||||
\(671\) | −8.44287 | −0.325933 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −45.6138 | −1.75828 | −0.879141 | − | 0.476561i | \(-0.841883\pi\) | ||||
−0.879141 | + | 0.476561i | \(0.841883\pi\) | |||||||
\(674\) | 3.77639 | − | 6.54090i | 0.145461 | − | 0.251946i | ||||
\(675\) | 43.0524 | + | 74.5690i | 1.65709 | + | 2.87016i | ||||
\(676\) | 0.308293 | + | 0.533979i | 0.0118574 | + | 0.0205376i | ||||
\(677\) | 5.12346 | − | 8.87409i | 0.196910 | − | 0.341059i | −0.750615 | − | 0.660740i | \(-0.770243\pi\) |
0.947525 | + | 0.319681i | \(0.103576\pi\) | |||||||
\(678\) | −36.2362 | −1.39164 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −55.7515 | −2.13797 | ||||||||
\(681\) | −1.64597 | + | 2.85091i | −0.0630738 | + | 0.109247i | ||||
\(682\) | −2.79029 | − | 4.83293i | −0.106846 | − | 0.185062i | ||||
\(683\) | −1.45020 | − | 2.51182i | −0.0554904 | − | 0.0961122i | 0.836946 | − | 0.547286i | \(-0.184339\pi\) |
−0.892436 | + | 0.451173i | \(0.851006\pi\) | |||||||
\(684\) | 3.10269 | − | 5.37402i | 0.118634 | − | 0.205481i | ||||
\(685\) | 58.6305 | 2.24016 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −47.8329 | −1.82494 | ||||||||
\(688\) | −3.25957 | + | 5.64574i | −0.124270 | + | 0.215242i | ||||
\(689\) | −4.89508 | − | 8.47852i | −0.186488 | − | 0.323006i | ||||
\(690\) | −18.5642 | − | 32.1541i | −0.706727 | − | 1.22409i | ||||
\(691\) | 3.45735 | − | 5.98831i | 0.131524 | − | 0.227806i | −0.792740 | − | 0.609560i | \(-0.791346\pi\) |
0.924264 | + | 0.381753i | \(0.124680\pi\) | |||||||
\(692\) | −15.9764 | −0.607330 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −17.0323 | −0.646536 | ||||||||
\(695\) | 18.7558 | − | 32.4861i | 0.711450 | − | 1.23227i | ||||
\(696\) | −12.7305 | − | 22.0498i | −0.482547 | − | 0.835797i | ||||
\(697\) | −7.36379 | − | 12.7545i | −0.278923 | − | 0.483110i | ||||
\(698\) | −1.02622 | + | 1.77747i | −0.0388432 | + | 0.0672784i | ||||
\(699\) | −4.67579 | −0.176855 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −26.0973 | −0.985682 | −0.492841 | − | 0.870119i | \(-0.664042\pi\) | ||||
−0.492841 | + | 0.870119i | \(0.664042\pi\) | |||||||
\(702\) | 10.3051 | − | 17.8490i | 0.388942 | − | 0.673667i | ||||
\(703\) | −3.05704 | − | 5.29494i | −0.115298 | − | 0.199703i | ||||
\(704\) | 3.36858 | + | 5.83456i | 0.126958 | + | 0.219898i | ||||
\(705\) | 28.3384 | − | 49.0836i | 1.06729 | − | 1.84860i | ||||
\(706\) | 18.7696 | 0.706402 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −5.17487 | −0.194483 | ||||||||
\(709\) | 1.69236 | − | 2.93126i | 0.0635580 | − | 0.110086i | −0.832495 | − | 0.554032i | \(-0.813089\pi\) |
0.896053 | + | 0.443946i | \(0.146422\pi\) | |||||||
\(710\) | −19.7481 | − | 34.2047i | −0.741133 | − | 1.28368i | ||||
\(711\) | 2.23026 | + | 3.86293i | 0.0836414 | + | 0.144871i | ||||
\(712\) | 14.2063 | − | 24.6060i | 0.532403 | − | 0.922150i | ||||
\(713\) | −18.3544 | −0.687378 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.43511 | −0.0910681 | ||||||||
\(716\) | 2.97244 | − | 5.14842i | 0.111085 | − | 0.192406i | ||||
\(717\) | 4.27043 | + | 7.39661i | 0.159482 | + | 0.276231i | ||||
\(718\) | 5.18346 | + | 8.97801i | 0.193445 | + | 0.335056i | ||||
\(719\) | −1.20787 | + | 2.09209i | −0.0450459 | + | 0.0780218i | −0.887669 | − | 0.460482i | \(-0.847677\pi\) |
0.842623 | + | 0.538503i | \(0.181010\pi\) | |||||||
\(720\) | 61.8395 | 2.30462 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 20.5883 | 0.766219 | ||||||||
\(723\) | −49.7198 | + | 86.1171i | −1.84910 | + | 3.20273i | ||||
\(724\) | 0.902322 | + | 1.56287i | 0.0335345 | + | 0.0580835i | ||||
\(725\) | 6.06569 | + | 10.5061i | 0.225274 | + | 0.390186i | ||||
\(726\) | 20.4989 | − | 35.5052i | 0.760787 | − | 1.31772i | ||||
\(727\) | −17.0150 | −0.631050 | −0.315525 | − | 0.948917i | \(-0.602181\pi\) | ||||
−0.315525 | + | 0.948917i | \(0.602181\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 103.896 | 3.84799 | ||||||||
\(730\) | −9.58155 | + | 16.5957i | −0.354629 | + | 0.614235i | ||||
\(731\) | 7.85771 | + | 13.6100i | 0.290628 | + | 0.503382i | ||||
\(732\) | −11.2779 | − | 19.5339i | −0.416844 | − | 0.721995i | ||||
\(733\) | 2.09226 | − | 3.62391i | 0.0772795 | − | 0.133852i | −0.824796 | − | 0.565431i | \(-0.808710\pi\) |
0.902075 | + | 0.431579i | \(0.142043\pi\) | |||||||
\(734\) | −23.1803 | −0.855599 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 10.0167 | 0.369221 | ||||||||
\(737\) | 1.67252 | − | 2.89689i | 0.0616082 | − | 0.106708i | ||||
\(738\) | 12.3882 | + | 21.4571i | 0.456017 | + | 0.789845i | ||||
\(739\) | 14.0397 | + | 24.3175i | 0.516458 | + | 0.894532i | 0.999817 | + | 0.0191099i | \(0.00608325\pi\) |
−0.483359 | + | 0.875422i | \(0.660583\pi\) | |||||||
\(740\) | −4.85284 | + | 8.40536i | −0.178394 | + | 0.308987i | ||||
\(741\) | 4.09820 | 0.150551 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −26.5210 | −0.972961 | −0.486481 | − | 0.873691i | \(-0.661720\pi\) | ||||
−0.486481 | + | 0.873691i | \(0.661720\pi\) | |||||||
\(744\) | 31.6344 | − | 54.7925i | 1.15977 | − | 2.00879i | ||||
\(745\) | 17.9083 | + | 31.0181i | 0.656111 | + | 1.13642i | ||||
\(746\) | −0.215120 | − | 0.372599i | −0.00787610 | − | 0.0136418i | ||||
\(747\) | 62.6481 | − | 108.510i | 2.29217 | − | 3.97016i | ||||
\(748\) | 2.74357 | 0.100315 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 1.06932 | 0.0390461 | ||||||||
\(751\) | 11.8581 | − | 20.5389i | 0.432709 | − | 0.749474i | −0.564396 | − | 0.825504i | \(-0.690891\pi\) |
0.997106 | + | 0.0760297i | \(0.0242244\pi\) | |||||||
\(752\) | −6.41018 | − | 11.1028i | −0.233755 | − | 0.404876i | ||||
\(753\) | −30.3028 | − | 52.4860i | −1.10429 | − | 1.91269i | ||||
\(754\) | 1.45190 | − | 2.51476i | 0.0528750 | − | 0.0915821i | ||||
\(755\) | 11.6263 | 0.423125 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −52.3661 | −1.90328 | −0.951639 | − | 0.307219i | \(-0.900602\pi\) | ||||
−0.951639 | + | 0.307219i | \(0.900602\pi\) | |||||||
\(758\) | 4.34727 | − | 7.52970i | 0.157900 | − | 0.273491i | ||||
\(759\) | 3.87684 | + | 6.71488i | 0.140720 | + | 0.243735i | ||||
\(760\) | 5.92545 | + | 10.2632i | 0.214939 | + | 0.372285i | ||||
\(761\) | 11.9347 | − | 20.6716i | 0.432634 | − | 0.749344i | −0.564465 | − | 0.825457i | \(-0.690918\pi\) |
0.997099 | + | 0.0761129i | \(0.0242509\pi\) | |||||||
\(762\) | −44.1902 | −1.60084 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 9.94949 | 0.359960 | ||||||||
\(765\) | 74.5369 | − | 129.102i | 2.69489 | − | 4.66768i | ||||
\(766\) | 1.97225 | + | 3.41604i | 0.0712603 | + | 0.123426i | ||||
\(767\) | −1.25228 | − | 2.16902i | −0.0452173 | − | 0.0783186i | ||||
\(768\) | −22.1954 | + | 38.4436i | −0.800907 | + | 1.38721i | ||||
\(769\) | −41.7599 | −1.50590 | −0.752950 | − | 0.658077i | \(-0.771370\pi\) | ||||
−0.752950 | + | 0.658077i | \(0.771370\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 49.3946 | 1.77890 | ||||||||
\(772\) | −0.0266308 | + | 0.0461260i | −0.000958465 | + | 0.00166011i | ||||
\(773\) | 1.48589 | + | 2.57364i | 0.0534438 | + | 0.0925674i | 0.891510 | − | 0.453002i | \(-0.149647\pi\) |
−0.838066 | + | 0.545569i | \(0.816314\pi\) | |||||||
\(774\) | −13.2192 | − | 22.8963i | −0.475153 | − | 0.822989i | ||||
\(775\) | −15.0729 | + | 26.1070i | −0.541433 | + | 0.937789i | ||||
\(776\) | 3.88672 | 0.139525 | ||||||||
\(777\) | 0 |