Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(5,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.j (of order \(22\), degree \(10\), 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: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.5 | ||
Character | \(\chi\) | \(=\) | 201.5 |
Dual form | 201.2.j.a.161.5 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.16364 | + | 1.34291i | −0.822819 | + | 0.949584i | −0.999398 | − | 0.0347028i | \(-0.988952\pi\) |
0.176579 | + | 0.984287i | \(0.443497\pi\) | |||||||
\(3\) | −1.67608 | + | 0.436744i | −0.967687 | + | 0.252154i | ||||
\(4\) | −0.164727 | − | 1.14570i | −0.0823633 | − | 0.572849i | ||||
\(5\) | −2.73659 | + | 0.803536i | −1.22384 | + | 0.359352i | −0.828922 | − | 0.559364i | \(-0.811046\pi\) |
−0.394919 | + | 0.918716i | \(0.629227\pi\) | |||||||
\(6\) | 1.36385 | − | 2.75905i | 0.556790 | − | 1.12638i | ||||
\(7\) | 0.246444 | + | 0.213545i | 0.0931472 | + | 0.0807125i | 0.700190 | − | 0.713957i | \(-0.253099\pi\) |
−0.607042 | + | 0.794669i | \(0.707644\pi\) | |||||||
\(8\) | −1.25944 | − | 0.809393i | −0.445279 | − | 0.286163i | ||||
\(9\) | 2.61851 | − | 1.46404i | 0.872837 | − | 0.488012i | ||||
\(10\) | 2.10533 | − | 4.61004i | 0.665765 | − | 1.45782i | ||||
\(11\) | 1.26890 | − | 0.372582i | 0.382587 | − | 0.112338i | −0.0847830 | − | 0.996399i | \(-0.527020\pi\) |
0.467370 | + | 0.884062i | \(0.345202\pi\) | |||||||
\(12\) | 0.776472 | + | 1.84834i | 0.224148 | + | 0.533571i | ||||
\(13\) | −0.548609 | − | 0.853653i | −0.152157 | − | 0.236761i | 0.756804 | − | 0.653642i | \(-0.226760\pi\) |
−0.908961 | + | 0.416881i | \(0.863123\pi\) | |||||||
\(14\) | −0.573546 | + | 0.0824635i | −0.153287 | + | 0.0220393i | ||||
\(15\) | 4.23582 | − | 2.54198i | 1.09368 | − | 0.656337i | ||||
\(16\) | 4.77367 | − | 1.40168i | 1.19342 | − | 0.350419i | ||||
\(17\) | −1.39108 | − | 0.200008i | −0.337387 | − | 0.0485090i | −0.0284609 | − | 0.999595i | \(-0.509061\pi\) |
−0.308926 | + | 0.951086i | \(0.599970\pi\) | |||||||
\(18\) | −1.08093 | + | 5.22005i | −0.254778 | + | 1.23038i | ||||
\(19\) | −3.53432 | − | 4.07883i | −0.810830 | − | 0.935747i | 0.188093 | − | 0.982151i | \(-0.439769\pi\) |
−0.998923 | + | 0.0464038i | \(0.985224\pi\) | |||||||
\(20\) | 1.37140 | + | 3.00295i | 0.306654 | + | 0.671479i | ||||
\(21\) | −0.506326 | − | 0.250287i | −0.110489 | − | 0.0546170i | ||||
\(22\) | −0.976197 | + | 2.13757i | −0.208126 | + | 0.455732i | ||||
\(23\) | 3.53149 | − | 1.61278i | 0.736366 | − | 0.336287i | −0.0116817 | − | 0.999932i | \(-0.503718\pi\) |
0.748048 | + | 0.663644i | \(0.230991\pi\) | |||||||
\(24\) | 2.46442 | + | 0.806557i | 0.503048 | + | 0.164638i | ||||
\(25\) | 2.63700 | − | 1.69470i | 0.527400 | − | 0.338940i | ||||
\(26\) | 1.78477 | + | 0.256611i | 0.350022 | + | 0.0503255i | ||||
\(27\) | −3.74943 | + | 3.59747i | −0.721579 | + | 0.692333i | ||||
\(28\) | 0.204063 | − | 0.317528i | 0.0385642 | − | 0.0600071i | ||||
\(29\) | − | 8.16026i | − | 1.51532i | −0.652648 | − | 0.757661i | \(-0.726342\pi\) | ||
0.652648 | − | 0.757661i | \(-0.273658\pi\) | |||||||
\(30\) | −1.51531 | + | 8.64630i | −0.276656 | + | 1.57859i | ||||
\(31\) | −3.71822 | + | 5.78567i | −0.667812 | + | 1.03914i | 0.327725 | + | 0.944773i | \(0.393718\pi\) |
−0.995538 | + | 0.0943634i | \(0.969918\pi\) | |||||||
\(32\) | −2.42868 | + | 5.31806i | −0.429333 | + | 0.940109i | ||||
\(33\) | −1.96406 | + | 1.17866i | −0.341898 | + | 0.205179i | ||||
\(34\) | 1.88732 | − | 1.63537i | 0.323672 | − | 0.280463i | ||||
\(35\) | −0.846009 | − | 0.386360i | −0.143002 | − | 0.0653067i | ||||
\(36\) | −2.10868 | − | 2.75886i | −0.351447 | − | 0.459810i | ||||
\(37\) | −5.15496 | −0.847470 | −0.423735 | − | 0.905786i | \(-0.639281\pi\) | ||||
−0.423735 | + | 0.905786i | \(0.639281\pi\) | |||||||
\(38\) | 9.59020 | 1.55574 | ||||||||
\(39\) | 1.29234 | + | 1.19119i | 0.206940 | + | 0.190743i | ||||
\(40\) | 4.09695 | + | 1.20297i | 0.647784 | + | 0.190207i | ||||
\(41\) | 0.252333 | − | 1.75501i | 0.0394078 | − | 0.274087i | −0.960585 | − | 0.277988i | \(-0.910333\pi\) |
0.999992 | + | 0.00390072i | \(0.00124164\pi\) | |||||||
\(42\) | 0.925295 | − | 0.388708i | 0.142776 | − | 0.0599790i | ||||
\(43\) | −12.1893 | − | 1.75256i | −1.85885 | − | 0.267262i | −0.880475 | − | 0.474093i | \(-0.842776\pi\) |
−0.978377 | + | 0.206831i | \(0.933685\pi\) | |||||||
\(44\) | −0.635888 | − | 1.39240i | −0.0958638 | − | 0.209912i | ||||
\(45\) | −5.98939 | + | 6.11054i | −0.892845 | + | 0.910906i | ||||
\(46\) | −1.94357 | + | 6.61918i | −0.286563 | + | 0.975945i | ||||
\(47\) | −6.42333 | + | 2.93344i | −0.936940 | + | 0.427886i | −0.824557 | − | 0.565779i | \(-0.808576\pi\) |
−0.112383 | + | 0.993665i | \(0.535848\pi\) | |||||||
\(48\) | −7.38889 | + | 4.43419i | −1.06650 | + | 0.640021i | ||||
\(49\) | −0.981071 | − | 6.82350i | −0.140153 | − | 0.974785i | ||||
\(50\) | −0.792691 | + | 5.51329i | −0.112103 | + | 0.779697i | ||||
\(51\) | 2.41892 | − | 0.272317i | 0.338717 | − | 0.0381321i | ||||
\(52\) | −0.887658 | + | 0.769160i | −0.123096 | + | 0.106663i | ||||
\(53\) | −0.147613 | − | 1.02667i | −0.0202762 | − | 0.141024i | 0.977169 | − | 0.212465i | \(-0.0681492\pi\) |
−0.997445 | + | 0.0714413i | \(0.977240\pi\) | |||||||
\(54\) | −0.468092 | − | 9.22133i | −0.0636993 | − | 1.25486i | ||||
\(55\) | −3.17307 | + | 2.03921i | −0.427857 | + | 0.274967i | ||||
\(56\) | −0.137540 | − | 0.468418i | −0.0183795 | − | 0.0625949i | ||||
\(57\) | 7.70522 | + | 5.29286i | 1.02058 | + | 0.701057i | ||||
\(58\) | 10.9585 | + | 9.49562i | 1.43893 | + | 1.24684i | ||||
\(59\) | −6.45776 | + | 10.0485i | −0.840729 | + | 1.30820i | 0.108655 | + | 0.994080i | \(0.465346\pi\) |
−0.949383 | + | 0.314120i | \(0.898291\pi\) | |||||||
\(60\) | −3.61010 | − | 4.43424i | −0.466062 | − | 0.572458i | ||||
\(61\) | 3.05441 | − | 10.4024i | 0.391077 | − | 1.33189i | −0.495219 | − | 0.868768i | \(-0.664912\pi\) |
0.886297 | − | 0.463118i | \(-0.153269\pi\) | |||||||
\(62\) | −3.44298 | − | 11.7257i | −0.437258 | − | 1.48916i | ||||
\(63\) | 0.957955 | + | 0.198367i | 0.120691 | + | 0.0249919i | ||||
\(64\) | −0.182042 | − | 0.398617i | −0.0227553 | − | 0.0498271i | ||||
\(65\) | 2.18726 | + | 1.89527i | 0.271296 | + | 0.235080i | ||||
\(66\) | 0.702616 | − | 4.00910i | 0.0864861 | − | 0.493486i | ||||
\(67\) | 7.50914 | + | 3.25773i | 0.917388 | + | 0.397995i | ||||
\(68\) | 1.62671i | 0.197268i | ||||||||
\(69\) | −5.21470 | + | 4.24550i | −0.627776 | + | 0.511099i | ||||
\(70\) | 1.50330 | − | 0.686534i | 0.179679 | − | 0.0820565i | ||||
\(71\) | 8.36871 | − | 1.20324i | 0.993183 | − | 0.142798i | 0.373483 | − | 0.927637i | \(-0.378163\pi\) |
0.619700 | + | 0.784839i | \(0.287254\pi\) | |||||||
\(72\) | −4.48284 | − | 0.275536i | −0.528307 | − | 0.0324723i | ||||
\(73\) | −3.09394 | − | 0.908462i | −0.362118 | − | 0.106327i | 0.0956121 | − | 0.995419i | \(-0.469519\pi\) |
−0.457730 | + | 0.889091i | \(0.651337\pi\) | |||||||
\(74\) | 5.99852 | − | 6.92267i | 0.697314 | − | 0.804744i | ||||
\(75\) | −3.67969 | + | 3.99215i | −0.424894 | + | 0.460974i | ||||
\(76\) | −4.09091 | + | 4.72116i | −0.469260 | + | 0.541555i | ||||
\(77\) | 0.392276 | + | 0.179146i | 0.0447040 | + | 0.0204156i | ||||
\(78\) | −3.10349 | + | 0.349384i | −0.351401 | + | 0.0395600i | ||||
\(79\) | 0.662273 | + | 1.03052i | 0.0745116 | + | 0.115942i | 0.876510 | − | 0.481384i | \(-0.159866\pi\) |
−0.801998 | + | 0.597327i | \(0.796230\pi\) | |||||||
\(80\) | −11.9373 | + | 7.67163i | −1.33463 | + | 0.857714i | ||||
\(81\) | 4.71319 | − | 7.66719i | 0.523688 | − | 0.851910i | ||||
\(82\) | 2.06321 | + | 2.38107i | 0.227843 | + | 0.262945i | ||||
\(83\) | −2.69176 | − | 9.16729i | −0.295459 | − | 1.00624i | −0.964734 | − | 0.263226i | \(-0.915213\pi\) |
0.669275 | − | 0.743015i | \(-0.266605\pi\) | |||||||
\(84\) | −0.203348 | + | 0.621326i | −0.0221871 | + | 0.0677922i | ||||
\(85\) | 3.96754 | − | 0.570447i | 0.430341 | − | 0.0618736i | ||||
\(86\) | 16.5375 | − | 14.3298i | 1.78329 | − | 1.54523i | ||||
\(87\) | 3.56394 | + | 13.6773i | 0.382095 | + | 1.46636i | ||||
\(88\) | −1.89967 | − | 0.557792i | −0.202505 | − | 0.0594608i | ||||
\(89\) | 4.74109 | + | 2.16519i | 0.502555 | + | 0.229509i | 0.650528 | − | 0.759482i | \(-0.274548\pi\) |
−0.147973 | + | 0.988991i | \(0.547275\pi\) | |||||||
\(90\) | −1.23643 | − | 15.1537i | −0.130331 | − | 1.59734i | ||||
\(91\) | 0.0470918 | − | 0.327531i | 0.00493656 | − | 0.0343346i | ||||
\(92\) | −2.42949 | − | 3.78036i | −0.253292 | − | 0.394129i | ||||
\(93\) | 3.70520 | − | 11.3212i | 0.384211 | − | 1.17395i | ||||
\(94\) | 3.53510 | − | 12.0395i | 0.364618 | − | 1.24178i | ||||
\(95\) | 12.9495 | + | 8.32213i | 1.32859 | + | 0.853833i | ||||
\(96\) | 1.74804 | − | 9.97422i | 0.178408 | − | 1.01799i | ||||
\(97\) | 2.37799i | 0.241449i | 0.992686 | + | 0.120724i | \(0.0385217\pi\) | ||||
−0.992686 | + | 0.120724i | \(0.961478\pi\) | |||||||
\(98\) | 10.3050 | + | 6.62261i | 1.04096 | + | 0.668985i | ||||
\(99\) | 2.77715 | − | 2.83332i | 0.279114 | − | 0.284760i | ||||
\(100\) | −2.37600 | − | 2.74205i | −0.237600 | − | 0.274205i | ||||
\(101\) | 4.54357 | + | 5.24356i | 0.452102 | + | 0.521754i | 0.935347 | − | 0.353732i | \(-0.115087\pi\) |
−0.483245 | + | 0.875485i | \(0.660542\pi\) | |||||||
\(102\) | −2.44906 | + | 3.56529i | −0.242493 | + | 0.353016i | ||||
\(103\) | 10.8212 | + | 6.95437i | 1.06625 | + | 0.685235i | 0.951340 | − | 0.308142i | \(-0.0997071\pi\) |
0.114906 | + | 0.993376i | \(0.463343\pi\) | |||||||
\(104\) | 1.51916i | 0.148966i | ||||||||
\(105\) | 1.58672 | + | 0.278082i | 0.154848 | + | 0.0271380i | ||||
\(106\) | 1.55050 | + | 0.996444i | 0.150598 | + | 0.0967832i | ||||
\(107\) | 1.17076 | − | 3.98725i | 0.113182 | − | 0.385462i | −0.883346 | − | 0.468722i | \(-0.844715\pi\) |
0.996528 | + | 0.0832592i | \(0.0265329\pi\) | |||||||
\(108\) | 4.73924 | + | 3.70312i | 0.456034 | + | 0.356333i | ||||
\(109\) | −0.962560 | − | 1.49777i | −0.0921965 | − | 0.143461i | 0.792092 | − | 0.610402i | \(-0.208992\pi\) |
−0.884288 | + | 0.466942i | \(0.845356\pi\) | |||||||
\(110\) | 0.953836 | − | 6.63408i | 0.0909447 | − | 0.632534i | ||||
\(111\) | 8.64014 | − | 2.25140i | 0.820086 | − | 0.213693i | ||||
\(112\) | 1.47577 | + | 0.673960i | 0.139447 | + | 0.0636832i | ||||
\(113\) | −18.8620 | − | 5.53838i | −1.77439 | − | 0.521007i | −0.779902 | − | 0.625902i | \(-0.784731\pi\) |
−0.994483 | + | 0.104895i | \(0.966549\pi\) | |||||||
\(114\) | −16.0740 | + | 4.18846i | −1.50547 | + | 0.392285i | ||||
\(115\) | −8.36832 | + | 7.25119i | −0.780350 | + | 0.676177i | ||||
\(116\) | −9.34920 | + | 1.34421i | −0.868051 | + | 0.124807i | ||||
\(117\) | −2.68632 | − | 1.43211i | −0.248350 | − | 0.132399i | ||||
\(118\) | −5.97971 | − | 20.3650i | −0.550477 | − | 1.87475i | ||||
\(119\) | −0.300114 | − | 0.346350i | −0.0275114 | − | 0.0317499i | ||||
\(120\) | −7.39222 | − | 0.226966i | −0.674814 | − | 0.0207191i | ||||
\(121\) | −7.78250 | + | 5.00151i | −0.707500 | + | 0.454683i | ||||
\(122\) | 10.4152 | + | 16.2064i | 0.942952 | + | 1.46726i | ||||
\(123\) | 0.343560 | + | 3.05175i | 0.0309778 | + | 0.275167i | ||||
\(124\) | 7.24112 | + | 3.30691i | 0.650272 | + | 0.296969i | ||||
\(125\) | 3.48407 | − | 4.02083i | 0.311625 | − | 0.359634i | ||||
\(126\) | −1.38111 | + | 1.05562i | −0.123039 | + | 0.0940425i | ||||
\(127\) | −0.0563231 | + | 0.0650003i | −0.00499786 | + | 0.00576784i | −0.758243 | − | 0.651972i | \(-0.773942\pi\) |
0.753245 | + | 0.657740i | \(0.228487\pi\) | |||||||
\(128\) | −10.4720 | − | 3.07485i | −0.925602 | − | 0.271781i | ||||
\(129\) | 21.1957 | − | 2.38617i | 1.86618 | − | 0.210090i | ||||
\(130\) | −5.09038 | + | 0.731885i | −0.446455 | + | 0.0641906i | ||||
\(131\) | −18.4856 | + | 8.44208i | −1.61509 | + | 0.737588i | −0.998755 | − | 0.0498931i | \(-0.984112\pi\) |
−0.616338 | + | 0.787481i | \(0.711385\pi\) | |||||||
\(132\) | 1.67392 | + | 2.05606i | 0.145696 | + | 0.178957i | ||||
\(133\) | − | 1.75994i | − | 0.152606i | ||||||
\(134\) | −13.1128 | + | 6.29330i | −1.13277 | + | 0.543658i | ||||
\(135\) | 7.36997 | − | 12.8576i | 0.634306 | − | 1.10661i | ||||
\(136\) | 1.59010 | + | 1.37783i | 0.136350 | + | 0.118148i | ||||
\(137\) | −6.15425 | − | 13.4759i | −0.525793 | − | 1.15133i | −0.967199 | − | 0.254019i | \(-0.918247\pi\) |
0.441406 | − | 0.897307i | \(-0.354480\pi\) | |||||||
\(138\) | 0.366695 | − | 11.9431i | 0.0312152 | − | 1.01667i | ||||
\(139\) | −2.54037 | − | 8.65171i | −0.215471 | − | 0.733828i | −0.994303 | − | 0.106595i | \(-0.966005\pi\) |
0.778831 | − | 0.627234i | \(-0.215813\pi\) | |||||||
\(140\) | −0.303291 | + | 1.03292i | −0.0256328 | + | 0.0872973i | ||||
\(141\) | 9.48488 | − | 7.72204i | 0.798771 | − | 0.650313i | ||||
\(142\) | −8.12233 | + | 12.6386i | −0.681611 | + | 1.06061i | ||||
\(143\) | −1.01418 | − | 0.878796i | −0.0848104 | − | 0.0734886i | ||||
\(144\) | 10.4478 | − | 10.6591i | 0.870650 | − | 0.888261i | ||||
\(145\) | 6.55706 | + | 22.3313i | 0.544534 | + | 1.85451i | ||||
\(146\) | 4.82022 | − | 3.09777i | 0.398924 | − | 0.256373i | ||||
\(147\) | 4.62447 | + | 11.0083i | 0.381420 | + | 0.907947i | ||||
\(148\) | 0.849159 | + | 5.90603i | 0.0698004 | + | 0.485473i | ||||
\(149\) | −1.75824 | + | 1.52353i | −0.144041 | + | 0.124812i | −0.723901 | − | 0.689904i | \(-0.757653\pi\) |
0.579860 | + | 0.814716i | \(0.303107\pi\) | |||||||
\(150\) | −1.07928 | − | 9.58693i | −0.0881226 | − | 0.782770i | ||||
\(151\) | −1.47970 | + | 10.2915i | −0.120416 | + | 0.837511i | 0.836670 | + | 0.547707i | \(0.184499\pi\) |
−0.957086 | + | 0.289804i | \(0.906410\pi\) | |||||||
\(152\) | 1.14989 | + | 7.99769i | 0.0932688 | + | 0.648699i | ||||
\(153\) | −3.93539 | + | 1.51288i | −0.318157 | + | 0.122309i | ||||
\(154\) | −0.697047 | + | 0.318331i | −0.0561697 | + | 0.0256518i | ||||
\(155\) | 5.52627 | − | 18.8207i | 0.443881 | − | 1.51172i | ||||
\(156\) | 1.15186 | − | 1.67686i | 0.0922229 | − | 0.134256i | ||||
\(157\) | 3.14642 | + | 6.88971i | 0.251112 | + | 0.549859i | 0.992646 | − | 0.121057i | \(-0.0386284\pi\) |
−0.741533 | + | 0.670916i | \(0.765901\pi\) | |||||||
\(158\) | −2.15455 | − | 0.309777i | −0.171406 | − | 0.0246445i | ||||
\(159\) | 0.695803 | + | 1.65632i | 0.0551808 | + | 0.131354i | ||||
\(160\) | 2.37305 | − | 16.5049i | 0.187606 | − | 1.30483i | ||||
\(161\) | 1.21472 | + | 0.356673i | 0.0957331 | + | 0.0281098i | ||||
\(162\) | 4.81192 | + | 15.2513i | 0.378060 | + | 1.19825i | ||||
\(163\) | −5.28972 | −0.414323 | −0.207161 | − | 0.978307i | \(-0.566422\pi\) | ||||
−0.207161 | + | 0.978307i | \(0.566422\pi\) | |||||||
\(164\) | −2.05228 | −0.160256 | ||||||||
\(165\) | 4.42772 | − | 4.80371i | 0.344698 | − | 0.373968i | ||||
\(166\) | 15.4431 | + | 7.05264i | 1.19862 | + | 0.547391i | ||||
\(167\) | −17.0003 | + | 14.7308i | −1.31552 | + | 1.13991i | −0.335276 | + | 0.942120i | \(0.608830\pi\) |
−0.980245 | + | 0.197786i | \(0.936625\pi\) | |||||||
\(168\) | 0.435107 | + | 0.725037i | 0.0335692 | + | 0.0559378i | ||||
\(169\) | 4.97264 | − | 10.8886i | 0.382511 | − | 0.837583i | ||||
\(170\) | −3.85074 | + | 5.99187i | −0.295338 | + | 0.459555i | ||||
\(171\) | −15.2262 | − | 5.50607i | −1.16438 | − | 0.421060i | ||||
\(172\) | 14.2540i | 1.08685i | ||||||||
\(173\) | 2.09291 | − | 3.25664i | 0.159121 | − | 0.247598i | −0.752534 | − | 0.658554i | \(-0.771169\pi\) |
0.911655 | + | 0.410956i | \(0.134805\pi\) | |||||||
\(174\) | −22.5146 | − | 11.1294i | −1.70682 | − | 0.843716i | ||||
\(175\) | 1.01177 | + | 0.145470i | 0.0764826 | + | 0.0109965i | ||||
\(176\) | 5.53506 | − | 3.55717i | 0.417221 | − | 0.268132i | ||||
\(177\) | 6.43514 | − | 19.6625i | 0.483694 | − | 1.47792i | ||||
\(178\) | −8.42459 | + | 3.84738i | −0.631450 | + | 0.288374i | ||||
\(179\) | −9.88222 | + | 21.6390i | −0.738632 | + | 1.61738i | 0.0471597 | + | 0.998887i | \(0.484983\pi\) |
−0.785792 | + | 0.618491i | \(0.787744\pi\) | |||||||
\(180\) | 7.98745 | + | 5.85547i | 0.595350 | + | 0.436441i | ||||
\(181\) | −8.20483 | − | 17.9661i | −0.609860 | − | 1.33541i | −0.922670 | − | 0.385591i | \(-0.873997\pi\) |
0.312810 | − | 0.949816i | \(-0.398730\pi\) | |||||||
\(182\) | 0.385048 | + | 0.444369i | 0.0285416 | + | 0.0329388i | ||||
\(183\) | −0.576279 | + | 18.7692i | −0.0425998 | + | 1.38746i | ||||
\(184\) | −5.75307 | − | 0.827166i | −0.424122 | − | 0.0609795i | ||||
\(185\) | 14.1070 | − | 4.14220i | 1.03717 | − | 0.304540i | ||||
\(186\) | 10.8918 | + | 18.1495i | 0.798628 | + | 1.33079i | ||||
\(187\) | −1.83966 | + | 0.264504i | −0.134529 | + | 0.0193424i | ||||
\(188\) | 4.41893 | + | 6.87599i | 0.322284 | + | 0.501483i | ||||
\(189\) | −1.69225 | + | 0.0859018i | −0.123093 | + | 0.00624843i | ||||
\(190\) | −26.2445 | + | 7.70608i | −1.90397 | + | 0.559057i | ||||
\(191\) | −0.819804 | + | 1.79512i | −0.0593189 | + | 0.129890i | −0.936970 | − | 0.349410i | \(-0.886382\pi\) |
0.877651 | + | 0.479300i | \(0.159109\pi\) | |||||||
\(192\) | 0.479211 | + | 0.588609i | 0.0345841 | + | 0.0424792i | ||||
\(193\) | 19.0702 | + | 12.2557i | 1.37271 | + | 0.882184i | 0.998971 | − | 0.0453518i | \(-0.0144409\pi\) |
0.373734 | + | 0.927536i | \(0.378077\pi\) | |||||||
\(194\) | −3.19344 | − | 2.76713i | −0.229276 | − | 0.198669i | ||||
\(195\) | −4.49378 | − | 2.22136i | −0.321806 | − | 0.159075i | ||||
\(196\) | −7.65606 | + | 2.24802i | −0.546862 | + | 0.160573i | ||||
\(197\) | 2.21982 | + | 15.4392i | 0.158156 | + | 1.10000i | 0.902029 | + | 0.431676i | \(0.142078\pi\) |
−0.743873 | + | 0.668321i | \(0.767013\pi\) | |||||||
\(198\) | 0.573305 | + | 7.02645i | 0.0407430 | + | 0.499348i | ||||
\(199\) | −1.93163 | + | 2.22922i | −0.136930 | + | 0.158025i | −0.820073 | − | 0.572259i | \(-0.806067\pi\) |
0.683143 | + | 0.730285i | \(0.260613\pi\) | |||||||
\(200\) | −4.69282 | −0.331832 | ||||||||
\(201\) | −14.0087 | − | 2.18066i | −0.988100 | − | 0.153812i | ||||
\(202\) | −12.3287 | −0.867447 | ||||||||
\(203\) | 1.74259 | − | 2.01105i | 0.122305 | − | 0.141148i | ||||
\(204\) | −0.710455 | − | 2.72650i | −0.0497418 | − | 0.190893i | ||||
\(205\) | 0.719684 | + | 5.00551i | 0.0502649 | + | 0.349600i | ||||
\(206\) | −21.9311 | + | 6.43956i | −1.52802 | + | 0.448666i | ||||
\(207\) | 6.88608 | − | 9.39331i | 0.478615 | − | 0.652880i | ||||
\(208\) | −3.81542 | − | 3.30608i | −0.264552 | − | 0.229236i | ||||
\(209\) | −6.00440 | − | 3.85879i | −0.415333 | − | 0.266918i | ||||
\(210\) | −2.21982 | + | 1.80724i | −0.153182 | + | 0.124712i | ||||
\(211\) | −7.49016 | + | 16.4012i | −0.515644 | + | 1.12910i | 0.455418 | + | 0.890278i | \(0.349490\pi\) |
−0.971062 | + | 0.238826i | \(0.923238\pi\) | |||||||
\(212\) | −1.15194 | + | 0.338240i | −0.0791155 | + | 0.0232304i | ||||
\(213\) | −13.5011 | + | 5.67171i | −0.925083 | + | 0.388619i | ||||
\(214\) | 3.99219 | + | 6.21197i | 0.272901 | + | 0.424642i | ||||
\(215\) | 34.7654 | − | 4.99851i | 2.37098 | − | 0.340896i | ||||
\(216\) | 7.63394 | − | 1.49603i | 0.519424 | − | 0.101792i | ||||
\(217\) | −2.15184 | + | 0.631836i | −0.146076 | + | 0.0428918i | ||||
\(218\) | 3.13145 | + | 0.450235i | 0.212089 | + | 0.0304938i | ||||
\(219\) | 5.58246 | + | 0.171401i | 0.377228 | + | 0.0115822i | ||||
\(220\) | 2.85901 | + | 3.29948i | 0.192755 | + | 0.222451i | ||||
\(221\) | 0.592424 | + | 1.29723i | 0.0398508 | + | 0.0872610i | ||||
\(222\) | −7.03060 | + | 14.2228i | −0.471863 | + | 0.954571i | ||||
\(223\) | 9.50316 | − | 20.8090i | 0.636379 | − | 1.39348i | −0.266607 | − | 0.963805i | \(-0.585903\pi\) |
0.902986 | − | 0.429670i | \(-0.141370\pi\) | |||||||
\(224\) | −1.73418 | + | 0.791974i | −0.115870 | + | 0.0529160i | ||||
\(225\) | 4.42391 | − | 8.29825i | 0.294928 | − | 0.553217i | ||||
\(226\) | 29.3861 | − | 18.8853i | 1.95474 | − | 1.25623i | ||||
\(227\) | 20.0650 | + | 2.88491i | 1.33176 | + | 0.191478i | 0.771178 | − | 0.636620i | \(-0.219668\pi\) |
0.560583 | + | 0.828098i | \(0.310577\pi\) | |||||||
\(228\) | 4.79477 | − | 9.69974i | 0.317541 | − | 0.642381i | ||||
\(229\) | −9.05101 | + | 14.0836i | −0.598107 | + | 0.930673i | 0.401781 | + | 0.915736i | \(0.368391\pi\) |
−0.999888 | + | 0.0149374i | \(0.995245\pi\) | |||||||
\(230\) | − | 19.6757i | − | 1.29738i | ||||||
\(231\) | −0.735728 | − | 0.128940i | −0.0484074 | − | 0.00848365i | ||||
\(232\) | −6.60485 | + | 10.2774i | −0.433630 | + | 0.674741i | ||||
\(233\) | 9.40198 | − | 20.5875i | 0.615944 | − | 1.34873i | −0.302489 | − | 0.953153i | \(-0.597818\pi\) |
0.918433 | − | 0.395576i | \(-0.129455\pi\) | |||||||
\(234\) | 5.04912 | − | 1.94103i | 0.330071 | − | 0.126889i | ||||
\(235\) | 15.2209 | − | 13.1890i | 0.992904 | − | 0.860356i | ||||
\(236\) | 12.5763 | + | 5.74340i | 0.818646 | + | 0.373863i | ||||
\(237\) | −1.56010 | − | 1.43799i | −0.101339 | − | 0.0934075i | ||||
\(238\) | 0.814344 | 0.0527861 | ||||||||
\(239\) | −3.20930 | −0.207592 | −0.103796 | − | 0.994599i | \(-0.533099\pi\) | ||||
−0.103796 | + | 0.994599i | \(0.533099\pi\) | |||||||
\(240\) | 16.6574 | − | 18.0718i | 1.07523 | − | 1.16653i | ||||
\(241\) | −18.5130 | − | 5.43590i | −1.19253 | − | 0.350157i | −0.375535 | − | 0.926808i | \(-0.622541\pi\) |
−0.816991 | + | 0.576651i | \(0.804359\pi\) | |||||||
\(242\) | 2.33945 | − | 16.2712i | 0.150385 | − | 1.04595i | ||||
\(243\) | −4.55110 | + | 14.9093i | −0.291953 | + | 0.956433i | ||||
\(244\) | −12.4211 | − | 1.78589i | −0.795181 | − | 0.114330i | ||||
\(245\) | 8.16772 | + | 17.8848i | 0.521816 | + | 1.14262i | ||||
\(246\) | −4.49802 | − | 3.08978i | −0.286783 | − | 0.196997i | ||||
\(247\) | −1.54294 | + | 5.25477i | −0.0981749 | + | 0.334353i | ||||
\(248\) | 9.36575 | − | 4.27720i | 0.594726 | − | 0.271602i | ||||
\(249\) | 8.51537 | + | 14.1895i | 0.539639 | + | 0.899225i | ||||
\(250\) | 1.34542 | + | 9.35761i | 0.0850919 | + | 0.591827i | ||||
\(251\) | 0.590017 | − | 4.10366i | 0.0372415 | − | 0.259020i | −0.962691 | − | 0.270602i | \(-0.912777\pi\) |
0.999933 | + | 0.0115812i | \(0.00368649\pi\) | |||||||
\(252\) | 0.0694678 | − | 1.13020i | 0.00437606 | − | 0.0711962i | ||||
\(253\) | 3.88021 | − | 3.36222i | 0.243947 | − | 0.211381i | ||||
\(254\) | −0.0217499 | − | 0.151274i | −0.00136471 | − | 0.00949178i | ||||
\(255\) | −6.40079 | + | 2.68892i | −0.400833 | + | 0.168386i | ||||
\(256\) | 17.0522 | − | 10.9588i | 1.06576 | − | 0.684925i | ||||
\(257\) | 4.52468 | + | 15.4097i | 0.282242 | + | 0.961228i | 0.971565 | + | 0.236773i | \(0.0760899\pi\) |
−0.689323 | + | 0.724454i | \(0.742092\pi\) | |||||||
\(258\) | −21.4598 | + | 31.2407i | −1.33603 | + | 1.94496i | ||||
\(259\) | −1.27041 | − | 1.10082i | −0.0789395 | − | 0.0684015i | ||||
\(260\) | 1.81111 | − | 2.81814i | 0.112320 | − | 0.174774i | ||||
\(261\) | −11.9469 | − | 21.3677i | −0.739496 | − | 1.32263i | ||||
\(262\) | 10.1736 | − | 34.6481i | 0.628527 | − | 2.14057i | ||||
\(263\) | −7.26748 | − | 24.7508i | −0.448132 | − | 1.52620i | −0.805707 | − | 0.592314i | \(-0.798214\pi\) |
0.357575 | − | 0.933884i | \(-0.383604\pi\) | |||||||
\(264\) | 3.42761 | + | 0.105239i | 0.210955 | + | 0.00647703i | ||||
\(265\) | 1.22892 | + | 2.69096i | 0.0754921 | + | 0.165305i | ||||
\(266\) | 2.36345 | + | 2.04794i | 0.144913 | + | 0.125567i | ||||
\(267\) | −8.89210 | − | 1.55839i | −0.544188 | − | 0.0953718i | ||||
\(268\) | 2.49542 | − | 9.13985i | 0.152432 | − | 0.558305i | ||||
\(269\) | − | 14.8372i | − | 0.904642i | −0.891855 | − | 0.452321i | \(-0.850596\pi\) | ||
0.891855 | − | 0.452321i | \(-0.149404\pi\) | |||||||
\(270\) | 8.69065 | + | 24.8589i | 0.528896 | + | 1.51286i | ||||
\(271\) | 12.8055 | − | 5.84809i | 0.777880 | − | 0.355246i | 0.0134143 | − | 0.999910i | \(-0.495730\pi\) |
0.764466 | + | 0.644664i | \(0.223003\pi\) | |||||||
\(272\) | −6.92092 | + | 0.995078i | −0.419642 | + | 0.0603355i | ||||
\(273\) | 0.0641172 | + | 0.569536i | 0.00388055 | + | 0.0344699i | ||||
\(274\) | 25.2584 | + | 7.41652i | 1.52591 | + | 0.448049i | ||||
\(275\) | 2.71467 | − | 3.13290i | 0.163701 | − | 0.188921i | ||||
\(276\) | 5.72307 | + | 5.27513i | 0.344488 | + | 0.317525i | ||||
\(277\) | 8.97912 | − | 10.3625i | 0.539503 | − | 0.622619i | −0.418902 | − | 0.908031i | \(-0.637585\pi\) |
0.958405 | + | 0.285412i | \(0.0921304\pi\) | |||||||
\(278\) | 14.5746 | + | 6.65599i | 0.874125 | + | 0.399200i | ||||
\(279\) | −1.26577 | + | 20.5934i | −0.0757797 | + | 1.23290i | ||||
\(280\) | 0.752781 | + | 1.17135i | 0.0449873 | + | 0.0700016i | ||||
\(281\) | −12.6338 | + | 8.11925i | −0.753669 | + | 0.484354i | −0.860201 | − | 0.509956i | \(-0.829662\pi\) |
0.106532 | + | 0.994309i | \(0.466025\pi\) | |||||||
\(282\) | −0.666972 | + | 21.7231i | −0.0397176 | + | 1.29359i | ||||
\(283\) | −8.13875 | − | 9.39262i | −0.483799 | − | 0.558333i | 0.460399 | − | 0.887712i | \(-0.347706\pi\) |
−0.944198 | + | 0.329379i | \(0.893161\pi\) | |||||||
\(284\) | −2.75710 | − | 9.38981i | −0.163604 | − | 0.557183i | ||||
\(285\) | −25.3391 | − | 8.29298i | −1.50096 | − | 0.491234i | ||||
\(286\) | 2.36030 | − | 0.339359i | 0.139567 | − | 0.0200667i | ||||
\(287\) | 0.436961 | − | 0.378629i | 0.0257930 | − | 0.0223497i | ||||
\(288\) | 1.42632 | + | 17.4811i | 0.0840469 | + | 1.03008i | ||||
\(289\) | −14.4163 | − | 4.23300i | −0.848016 | − | 0.249000i | ||||
\(290\) | −37.6191 | − | 17.1801i | −2.20907 | − | 1.00885i | ||||
\(291\) | −1.03857 | − | 3.98572i | −0.0608823 | − | 0.233647i | ||||
\(292\) | −0.531170 | + | 3.69437i | −0.0310844 | + | 0.216197i | ||||
\(293\) | −2.11982 | − | 3.29850i | −0.123841 | − | 0.192700i | 0.773797 | − | 0.633433i | \(-0.218355\pi\) |
−0.897638 | + | 0.440733i | \(0.854719\pi\) | |||||||
\(294\) | −20.1644 | − | 6.59941i | −1.17601 | − | 0.384886i | ||||
\(295\) | 9.59795 | − | 32.6876i | 0.558814 | − | 1.90315i | ||||
\(296\) | 6.49236 | + | 4.17238i | 0.377361 | + | 0.242515i | ||||
\(297\) | −3.41730 | + | 5.96179i | −0.198292 | + | 0.345938i | ||||
\(298\) | − | 4.13401i | − | 0.239477i | ||||||
\(299\) | −3.31416 | − | 2.12988i | −0.191663 | − | 0.123174i | ||||
\(300\) | 5.17994 | + | 3.55820i | 0.299064 | + | 0.205433i | ||||
\(301\) | −2.62974 | − | 3.03488i | −0.151575 | − | 0.174927i | ||||
\(302\) | −12.0988 | − | 13.9627i | −0.696206 | − | 0.803465i | ||||
\(303\) | −9.90549 | − | 6.80427i | −0.569056 | − | 0.390895i | ||||
\(304\) | −22.5889 | − | 14.5170i | −1.29556 | − | 0.832607i | ||||
\(305\) | 30.9214i | 1.77055i | ||||||||
\(306\) | 2.54772 | − | 7.04533i | 0.145643 | − | 0.402755i | ||||
\(307\) | −11.2657 | − | 7.24005i | −0.642970 | − | 0.413212i | 0.178121 | − | 0.984009i | \(-0.442998\pi\) |
−0.821091 | + | 0.570797i | \(0.806634\pi\) | |||||||
\(308\) | 0.140630 | − | 0.478940i | 0.00801312 | − | 0.0272902i | ||||
\(309\) | −21.1745 | − | 6.93001i | −1.20458 | − | 0.394235i | ||||
\(310\) | 18.8440 | + | 29.3219i | 1.07027 | + | 1.66537i | ||||
\(311\) | 0.547761 | − | 3.80976i | 0.0310607 | − | 0.216032i | −0.968380 | − | 0.249481i | \(-0.919740\pi\) |
0.999440 | + | 0.0334491i | \(0.0106492\pi\) | |||||||
\(312\) | −0.663485 | − | 2.54624i | −0.0375624 | − | 0.144153i | ||||
\(313\) | 24.4772 | + | 11.1783i | 1.38353 | + | 0.631837i | 0.961515 | − | 0.274752i | \(-0.0885956\pi\) |
0.422015 | + | 0.906589i | \(0.361323\pi\) | |||||||
\(314\) | −12.9136 | − | 3.79177i | −0.728757 | − | 0.213982i | ||||
\(315\) | −2.78093 | + | 0.226903i | −0.156688 | + | 0.0127845i | ||||
\(316\) | 1.07157 | − | 0.928520i | 0.0602805 | − | 0.0522333i | ||||
\(317\) | 4.40588 | − | 0.633470i | 0.247459 | − | 0.0355792i | −0.0174691 | − | 0.999847i | \(-0.505561\pi\) |
0.264928 | + | 0.964268i | \(0.414652\pi\) | |||||||
\(318\) | −3.03395 | − | 0.992954i | −0.170136 | − | 0.0556821i | ||||
\(319\) | −3.04037 | − | 10.3545i | −0.170228 | − | 0.579743i | ||||
\(320\) | 0.818479 | + | 0.944575i | 0.0457544 | + | 0.0528033i | ||||
\(321\) | −0.220889 | + | 7.19429i | −0.0123288 | + | 0.401546i | ||||
\(322\) | −1.89248 | + | 1.21622i | −0.105464 | + | 0.0677773i | ||||
\(323\) | 4.10075 | + | 6.38088i | 0.228172 | + | 0.355042i | ||||
\(324\) | −9.56068 | − | 4.13691i | −0.531149 | − | 0.229828i | ||||
\(325\) | −2.89337 | − | 1.32136i | −0.160495 | − | 0.0732957i | ||||
\(326\) | 6.15533 | − | 7.10363i | 0.340912 | − | 0.393434i | ||||
\(327\) | 2.26747 | + | 2.09000i | 0.125392 | + | 0.115577i | ||||
\(328\) | −1.73829 | + | 2.00610i | −0.0959811 | + | 0.110768i | ||||
\(329\) | −2.20942 | − | 0.648743i | −0.121809 | − | 0.0357664i | ||||
\(330\) | 1.29868 | + | 11.5358i | 0.0714901 | + | 0.635028i | ||||
\(331\) | −16.5744 | + | 2.38304i | −0.911013 | + | 0.130984i | −0.581857 | − | 0.813291i | \(-0.697674\pi\) |
−0.329157 | + | 0.944275i | \(0.606764\pi\) | |||||||
\(332\) | −10.0595 | + | 4.59404i | −0.552089 | + | 0.252131i | ||||
\(333\) | −13.4983 | + | 7.54705i | −0.739703 | + | 0.413576i | ||||
\(334\) | − | 39.9713i | − | 2.18713i | ||||||
\(335\) | −23.1672 | − | 2.88122i | −1.26576 | − | 0.157418i | ||||
\(336\) | −2.76785 | − | 0.485081i | −0.150999 | − | 0.0264633i | ||||
\(337\) | 12.5209 | + | 10.8494i | 0.682057 | + | 0.591006i | 0.925426 | − | 0.378928i | \(-0.123707\pi\) |
−0.243369 | + | 0.969934i | \(0.578253\pi\) | |||||||
\(338\) | 8.83604 | + | 19.3482i | 0.480617 | + | 1.05241i | ||||
\(339\) | 34.0331 | + | 1.04493i | 1.84842 | + | 0.0567529i | ||||
\(340\) | −1.30712 | − | 4.45164i | −0.0708885 | − | 0.241424i | ||||
\(341\) | −2.56241 | + | 8.72677i | −0.138762 | + | 0.472581i | ||||
\(342\) | 25.1120 | − | 14.0404i | 1.35790 | − | 0.759219i | ||||
\(343\) | 2.44944 | − | 3.81140i | 0.132257 | − | 0.205796i | ||||
\(344\) | 13.9332 | + | 12.0732i | 0.751227 | + | 0.650942i | ||||
\(345\) | 10.8591 | − | 15.8084i | 0.584634 | − | 0.851097i | ||||
\(346\) | 1.93798 | + | 6.60017i | 0.104187 | + | 0.354827i | ||||
\(347\) | 10.8452 | − | 6.96976i | 0.582199 | − | 0.374156i | −0.216142 | − | 0.976362i | \(-0.569348\pi\) |
0.798341 | + | 0.602205i | \(0.205711\pi\) | |||||||
\(348\) | 15.0830 | − | 6.33621i | 0.808532 | − | 0.339657i | ||||
\(349\) | 2.10309 | + | 14.6273i | 0.112576 | + | 0.782983i | 0.965398 | + | 0.260781i | \(0.0839801\pi\) |
−0.852822 | + | 0.522202i | \(0.825111\pi\) | |||||||
\(350\) | −1.37269 | + | 1.18944i | −0.0733734 | + | 0.0635784i | ||||
\(351\) | 5.12796 | + | 1.22711i | 0.273710 | + | 0.0654983i | ||||
\(352\) | −1.10033 | + | 7.65296i | −0.0586477 | + | 0.407904i | ||||
\(353\) | 0.674870 | + | 4.69383i | 0.0359197 | + | 0.249827i | 0.999868 | − | 0.0162635i | \(-0.00517705\pi\) |
−0.963948 | + | 0.266091i | \(0.914268\pi\) | |||||||
\(354\) | 18.9168 | + | 31.5219i | 1.00542 | + | 1.67537i | ||||
\(355\) | −21.9349 | + | 10.0173i | −1.16418 | + | 0.531665i | ||||
\(356\) | 1.69967 | − | 5.78853i | 0.0900821 | − | 0.306791i | ||||
\(357\) | 0.654283 | + | 0.449439i | 0.0346283 | + | 0.0237868i | ||||
\(358\) | −17.5600 | − | 38.4511i | −0.928076 | − | 2.03220i | ||||
\(359\) | 27.5257 | + | 3.95759i | 1.45275 | + | 0.208874i | 0.823051 | − | 0.567967i | \(-0.192270\pi\) |
0.629697 | + | 0.776841i | \(0.283179\pi\) | |||||||
\(360\) | 12.4891 | − | 2.84809i | 0.658233 | − | 0.150107i | ||||
\(361\) | −1.44141 | + | 10.0252i | −0.0758635 | + | 0.527642i | ||||
\(362\) | 33.6744 | + | 9.88769i | 1.76989 | + | 0.519685i | ||||
\(363\) | 10.8597 | − | 11.7819i | 0.569989 | − | 0.618390i | ||||
\(364\) | −0.383009 | −0.0200751 | ||||||||
\(365\) | 9.19683 | 0.481384 | ||||||||
\(366\) | −24.5349 | − | 22.6145i | −1.28246 | − | 1.18208i | ||||
\(367\) | 3.21571 | + | 1.46857i | 0.167859 | + | 0.0766586i | 0.497572 | − | 0.867422i | \(-0.334225\pi\) |
−0.329714 | + | 0.944081i | \(0.606952\pi\) | |||||||
\(368\) | 14.5976 | − | 12.6489i | 0.760951 | − | 0.659368i | ||||
\(369\) | −1.90867 | − | 4.96494i | −0.0993613 | − | 0.258465i | ||||
\(370\) | −10.8529 | + | 23.7646i | −0.564216 | + | 1.23546i | ||||
\(371\) | 0.182862 | − | 0.284539i | 0.00949373 | − | 0.0147725i | ||||
\(372\) | −13.5810 | − | 2.38014i | −0.704142 | − | 0.123405i | ||||
\(373\) | 1.49328i | 0.0773190i | 0.999252 | + | 0.0386595i | \(0.0123088\pi\) | ||||
−0.999252 | + | 0.0386595i | \(0.987691\pi\) | |||||||
\(374\) | 1.78550 | − | 2.77830i | 0.0923262 | − | 0.143662i | ||||
\(375\) | −4.08352 | + | 8.26089i | −0.210872 | + | 0.426591i | ||||
\(376\) | 10.4641 | + | 1.50451i | 0.539645 | + | 0.0775892i | ||||
\(377\) | −6.96603 | + | 4.47679i | −0.358769 | + | 0.230567i | ||||
\(378\) | 1.85381 | − | 2.37250i | 0.0953498 | − | 0.122028i | ||||
\(379\) | 22.6267 | − | 10.3333i | 1.16226 | − | 0.530785i | 0.261541 | − | 0.965192i | \(-0.415769\pi\) |
0.900717 | + | 0.434407i | \(0.143042\pi\) | |||||||
\(380\) | 7.40153 | − | 16.2071i | 0.379691 | − | 0.831407i | ||||
\(381\) | 0.0660137 | − | 0.133545i | 0.00338198 | − | 0.00684170i | ||||
\(382\) | −1.45673 | − | 3.18980i | −0.0745330 | − | 0.163205i | ||||
\(383\) | −8.17848 | − | 9.43847i | −0.417901 | − | 0.482283i | 0.507295 | − | 0.861772i | \(-0.330645\pi\) |
−0.925196 | + | 0.379489i | \(0.876100\pi\) | |||||||
\(384\) | 18.8949 | + | 0.580136i | 0.964224 | + | 0.0296050i | ||||
\(385\) | −1.21745 | − | 0.175043i | −0.0620470 | − | 0.00892102i | ||||
\(386\) | −38.6493 | + | 11.3484i | −1.96720 | + | 0.577621i | ||||
\(387\) | −34.4836 | + | 13.2565i | −1.75290 | + | 0.673866i | ||||
\(388\) | 2.72447 | − | 0.391719i | 0.138314 | − | 0.0198865i | ||||
\(389\) | 20.0650 | + | 31.2218i | 1.01734 | + | 1.58301i | 0.793677 | + | 0.608339i | \(0.208164\pi\) |
0.223659 | + | 0.974667i | \(0.428200\pi\) | |||||||
\(390\) | 8.21225 | − | 3.44989i | 0.415843 | − | 0.174692i | ||||
\(391\) | −5.23517 | + | 1.53718i | −0.264754 | + | 0.0777387i | ||||
\(392\) | −4.28729 | + | 9.38785i | −0.216541 | + | 0.474158i | ||||
\(393\) | 27.2964 | − | 22.2231i | 1.37692 | − | 1.12101i | ||||
\(394\) | −23.3166 | − | 14.9847i | −1.17467 | − | 0.754917i | ||||
\(395\) | −2.64043 | − | 2.28795i | −0.132855 | − | 0.115119i | ||||
\(396\) | −3.70361 | − | 2.71505i | −0.186113 | − | 0.136437i | ||||
\(397\) | −7.26491 | + | 2.13317i | −0.364615 | + | 0.107061i | −0.458908 | − | 0.888484i | \(-0.651759\pi\) |
0.0942927 | + | 0.995545i | \(0.469941\pi\) | |||||||
\(398\) | −0.745926 | − | 5.18803i | −0.0373899 | − | 0.260052i | ||||
\(399\) | 0.768644 | + | 2.94981i | 0.0384803 | + | 0.147675i | ||||
\(400\) | 10.2128 | − | 11.7862i | 0.510638 | − | 0.589308i | ||||
\(401\) | −29.7913 | −1.48771 | −0.743854 | − | 0.668342i | \(-0.767004\pi\) | ||||
−0.743854 | + | 0.668342i | \(0.767004\pi\) | |||||||
\(402\) | 19.2296 | − | 16.2750i | 0.959085 | − | 0.811725i | ||||
\(403\) | 6.97880 | 0.347639 | ||||||||
\(404\) | 5.25909 | − | 6.06932i | 0.261650 | − | 0.301960i | ||||
\(405\) | −6.73722 | + | 24.7692i | −0.334775 | + | 1.23079i | ||||
\(406\) | 0.672923 | + | 4.68028i | 0.0333966 | + | 0.232279i | ||||
\(407\) | −6.54112 | + | 1.92065i | −0.324231 | + | 0.0952029i | ||||
\(408\) | −3.26690 | − | 1.61489i | −0.161736 | − | 0.0799491i | ||||
\(409\) | −3.85373 | − | 3.33928i | −0.190555 | − | 0.165117i | 0.554358 | − | 0.832278i | \(-0.312964\pi\) |
−0.744913 | + | 0.667161i | \(0.767509\pi\) | |||||||
\(410\) | −7.55943 | − | 4.85815i | −0.373334 | − | 0.239927i | ||||
\(411\) | 16.2006 | + | 19.8990i | 0.799115 | + | 0.981543i | ||||
\(412\) | 6.18507 | − | 13.5434i | 0.304717 | − | 0.667237i | ||||
\(413\) | −3.73728 | + | 1.09736i | −0.183900 | + | 0.0539978i | ||||
\(414\) | 4.60148 | + | 20.1778i | 0.226150 | + | 0.991687i | ||||
\(415\) | 14.7325 | + | 22.9242i | 0.723190 | + | 1.12531i | ||||
\(416\) | 5.87217 | − | 0.844290i | 0.287907 | − | 0.0413947i | ||||
\(417\) | 8.03645 | + | 13.3915i | 0.393547 | + | 0.655784i | ||||
\(418\) | 12.1690 | − | 3.57314i | 0.595205 | − | 0.174768i | ||||
\(419\) | 0.972687 | + | 0.139851i | 0.0475189 | + | 0.00683218i | 0.166033 | − | 0.986120i | \(-0.446904\pi\) |
−0.118514 | + | 0.992952i | \(0.537813\pi\) | |||||||
\(420\) | 0.0572223 | − | 1.86371i | 0.00279216 | − | 0.0909399i | ||||
\(421\) | 7.02948 | + | 8.11245i | 0.342596 | + | 0.395377i | 0.900734 | − | 0.434372i | \(-0.143030\pi\) |
−0.558138 | + | 0.829748i | \(0.688484\pi\) | |||||||
\(422\) | −13.3095 | − | 29.1437i | −0.647896 | − | 1.41869i | ||||
\(423\) | −12.5249 | + | 17.0852i | −0.608982 | + | 0.830713i | ||||
\(424\) | −0.645069 | + | 1.41251i | −0.0313273 | + | 0.0685973i | ||||
\(425\) | −4.00724 | + | 1.83005i | −0.194380 | + | 0.0887703i | ||||
\(426\) | 8.09388 | − | 24.7307i | 0.392150 | − | 1.19821i | ||||
\(427\) | 2.97412 | − | 1.91135i | 0.143928 | − | 0.0924967i | ||||
\(428\) | −4.76105 | − | 0.684535i | −0.230134 | − | 0.0330883i | ||||
\(429\) | 2.08367 | + | 1.03000i | 0.100600 | + | 0.0497287i | ||||
\(430\) | −33.7419 | + | 52.5034i | −1.62718 | + | 2.53194i | ||||
\(431\) | 16.4165i | 0.790753i | 0.918519 | + | 0.395377i | \(0.129386\pi\) | ||||
−0.918519 | + | 0.395377i | \(0.870614\pi\) | |||||||
\(432\) | −12.8561 | + | 22.4286i | −0.618538 | + | 1.07910i | ||||
\(433\) | 4.86712 | − | 7.57339i | 0.233899 | − | 0.363954i | −0.704386 | − | 0.709817i | \(-0.748778\pi\) |
0.938285 | + | 0.345863i | \(0.112414\pi\) | |||||||
\(434\) | 1.65547 | − | 3.62496i | 0.0794649 | − | 0.174004i | ||||
\(435\) | −20.7432 | − | 34.5654i | −0.994562 | − | 1.65728i | ||||
\(436\) | −1.55744 | + | 1.34953i | −0.0745877 | + | 0.0646306i | ||||
\(437\) | −19.0597 | − | 8.70426i | −0.911748 | − | 0.416381i | ||||
\(438\) | −6.72616 | + | 7.29732i | −0.321388 | + | 0.348679i | ||||
\(439\) | 20.0042 | 0.954748 | 0.477374 | − | 0.878700i | \(-0.341589\pi\) | ||||
0.477374 | + | 0.878700i | \(0.341589\pi\) | |||||||
\(440\) | 5.64682 | 0.269201 | ||||||||
\(441\) | −12.5588 | − | 16.4311i | −0.598038 | − | 0.782432i | ||||
\(442\) | −2.43144 | − | 0.713934i | −0.115652 | − | 0.0339584i | ||||
\(443\) | −0.516617 | + | 3.59315i | −0.0245452 | + | 0.170716i | −0.998407 | − | 0.0564268i | \(-0.982029\pi\) |
0.973862 | + | 0.227143i | \(0.0729383\pi\) | |||||||
\(444\) | −4.00268 | − | 9.52813i | −0.189959 | − | 0.452185i | ||||
\(445\) | −14.7142 | − | 2.11559i | −0.697522 | − | 0.100289i | ||||
\(446\) | 16.8865 | + | 36.9762i | 0.799597 | + | 1.75087i | ||||
\(447\) | 2.28157 | − | 3.32146i | 0.107915 | − | 0.157100i | ||||
\(448\) | 0.0402595 | − | 0.137111i | 0.00190208 | − | 0.00647790i | ||||
\(449\) | 27.7476 | − | 12.6719i | 1.30949 | − | 0.598024i | 0.366368 | − | 0.930470i | \(-0.380601\pi\) |
0.943122 | + | 0.332446i | \(0.107874\pi\) | |||||||
\(450\) | 5.99599 | + | 15.5971i | 0.282654 | + | 0.735256i | ||||
\(451\) | −0.333702 | − | 2.32095i | −0.0157134 | − | 0.109289i | ||||
\(452\) | −3.23824 | + | 22.5225i | −0.152314 | + | 1.05937i | ||||
\(453\) | −2.01466 | − | 17.8957i | −0.0946569 | − | 0.840812i | ||||
\(454\) | −27.2227 | + | 23.5886i | −1.27762 | + | 1.10707i | ||||
\(455\) | 0.134312 | + | 0.934158i | 0.00629663 | + | 0.0437940i | ||||
\(456\) | −5.42026 | − | 12.9026i | −0.253827 | − | 0.604219i | ||||
\(457\) | −4.39139 | + | 2.82218i | −0.205421 | + | 0.132016i | −0.639307 | − | 0.768952i | \(-0.720778\pi\) |
0.433886 | + | 0.900968i | \(0.357142\pi\) | |||||||
\(458\) | −8.38099 | − | 28.5430i | −0.391618 | − | 1.33373i | ||||
\(459\) | 5.93530 | − | 4.25446i | 0.277036 | − | 0.198581i | ||||
\(460\) | 9.68617 | + | 8.39311i | 0.451620 | + | 0.391331i | ||||
\(461\) | −9.05963 | + | 14.0971i | −0.421949 | + | 0.656566i | −0.985531 | − | 0.169494i | \(-0.945787\pi\) |
0.563582 | + | 0.826060i | \(0.309423\pi\) | |||||||
\(462\) | 1.02928 | − | 0.837980i | 0.0478864 | − | 0.0389863i | ||||
\(463\) | 4.06196 | − | 13.8338i | 0.188775 | − | 0.642910i | −0.809655 | − | 0.586906i | \(-0.800346\pi\) |
0.998431 | − | 0.0560042i | \(-0.0178360\pi\) | |||||||
\(464\) | −11.4380 | − | 38.9544i | −0.530998 | − | 1.80841i | ||||
\(465\) | −1.04265 | + | 33.9587i | −0.0483516 | + | 1.57480i | ||||
\(466\) | 16.7067 | + | 36.5825i | 0.773921 | + | 1.69465i | ||||
\(467\) | 12.2588 | + | 10.6223i | 0.567269 | + | 0.491541i | 0.890627 | − | 0.454736i | \(-0.150266\pi\) |
−0.323358 | + | 0.946277i | \(0.604812\pi\) | |||||||
\(468\) | −1.19826 | + | 3.31362i | −0.0553897 | + | 0.153172i | ||||
\(469\) | 1.15491 | + | 2.40639i | 0.0533289 | + | 0.111117i | ||||
\(470\) | 35.7877i | 1.65076i | ||||||||
\(471\) | −8.28271 | − | 10.1735i | −0.381647 | − | 0.468772i | ||||
\(472\) | 16.2663 | − | 7.42858i | 0.748718 | − | 0.341928i | ||||
\(473\) | −16.1200 | + | 2.31770i | −0.741196 | + | 0.106568i | ||||
\(474\) | 3.74649 | − | 0.421772i | 0.172082 | − | 0.0193726i | ||||
\(475\) | −16.2324 | − | 4.76626i | −0.744794 | − | 0.218691i | ||||
\(476\) | −0.347376 | + | 0.400894i | −0.0159220 | + | 0.0183749i | ||||
\(477\) | −1.88961 | − | 2.47223i | −0.0865192 | − | 0.113196i | ||||
\(478\) | 3.73448 | − | 4.30982i | 0.170811 | − | 0.197126i | ||||
\(479\) | 2.56457 | + | 1.17120i | 0.117178 | + | 0.0535136i | 0.473142 | − | 0.880986i | \(-0.343120\pi\) |
−0.355963 | + | 0.934500i | \(0.615847\pi\) | |||||||
\(480\) | 3.23098 | + | 28.7000i | 0.147474 | + | 1.30997i | ||||
\(481\) | 2.82806 | + | 4.40054i | 0.128948 | + | 0.200648i | ||||
\(482\) | 28.8424 | − | 18.5359i | 1.31374 | − | 0.844287i | ||||
\(483\) | −2.19174 | − | 0.0672939i | −0.0997277 | − | 0.00306198i | ||||
\(484\) | 7.01221 | + | 8.09252i | 0.318737 | + | 0.367842i | ||||
\(485\) | −1.91080 | − | 6.50760i | −0.0867652 | − | 0.295495i | ||||
\(486\) | −14.7261 | − | 23.4608i | −0.667988 | − | 1.06420i | ||||
\(487\) | −3.21692 | + | 0.462523i | −0.145772 | + | 0.0209589i | −0.214815 | − | 0.976655i | \(-0.568915\pi\) |
0.0690423 | + | 0.997614i | \(0.478006\pi\) | |||||||
\(488\) | −12.2664 | + | 10.6289i | −0.555276 | + | 0.481149i | ||||
\(489\) | 8.86601 | − | 2.31025i | 0.400935 | − | 0.104473i | ||||
\(490\) | −33.5221 | − | 9.84296i | −1.51437 | − | 0.444660i | ||||
\(491\) | 4.44639 | + | 2.03060i | 0.200663 | + | 0.0916396i | 0.513212 | − | 0.858262i | \(-0.328456\pi\) |
−0.312549 | + | 0.949902i | \(0.601183\pi\) | |||||||
\(492\) | 3.43980 | − | 0.896321i | 0.155078 | − | 0.0404093i | ||||
\(493\) | −1.63211 | + | 11.3516i | −0.0735067 | + | 0.511251i | ||||
\(494\) | −5.26127 | − | 8.18670i | −0.236716 | − | 0.368337i | ||||
\(495\) | −5.32325 | + | 9.98519i | −0.239262 | + | 0.448801i | ||||
\(496\) | −9.63993 | + | 32.8306i | −0.432846 | + | 1.47414i | ||||
\(497\) | 2.31937 | + | 1.49057i | 0.104038 | + | 0.0668611i | ||||
\(498\) | −28.9642 | − | 5.07612i | −1.29791 | − | 0.227467i | ||||
\(499\) | − | 16.4065i | − | 0.734455i | −0.930131 | − | 0.367228i | \(-0.880307\pi\) | ||
0.930131 | − | 0.367228i | \(-0.119693\pi\) | |||||||
\(500\) | −5.18058 | − | 3.32936i | −0.231683 | − | 0.148893i | ||||
\(501\) | 22.0603 | − | 32.1149i | 0.985581 | − | 1.43479i | ||||
\(502\) | 4.82429 | + | 5.56753i | 0.215319 | + | 0.248491i | ||||
\(503\) | −22.6517 | − | 26.1414i | −1.00999 | − | 1.16559i | −0.986147 | − | 0.165874i | \(-0.946956\pi\) |
−0.0238421 | − | 0.999716i | \(-0.507590\pi\) | |||||||
\(504\) | −1.04593 | − | 1.02519i | −0.0465894 | − | 0.0456657i | ||||
\(505\) | −16.6473 | − | 10.6986i | −0.740795 | − | 0.476080i | ||||
\(506\) | 9.12321i | 0.405576i | ||||||||
\(507\) | −3.57905 | + | 20.4219i | −0.158951 | + | 0.906970i | ||||
\(508\) | 0.0837487 | + | 0.0538220i | 0.00371575 | + | 0.00238797i | ||||
\(509\) | 0.880390 | − | 2.99833i | 0.0390226 | − | 0.132899i | −0.937678 | − | 0.347506i | \(-0.887029\pi\) |
0.976701 | + | 0.214607i | \(0.0688470\pi\) | |||||||
\(510\) | 3.83725 | − | 11.7247i | 0.169916 | − | 0.519176i | ||||
\(511\) | −0.568486 | − | 0.884581i | −0.0251483 | − | 0.0391316i | ||||
\(512\) | −2.01948 | + | 14.0458i | −0.0892491 | + | 0.620741i | ||||
\(513\) | 27.9252 | + | 2.57868i | 1.23293 | + | 0.113851i | ||||
\(514\) | −25.9589 | − | 11.8551i | −1.14500 | − | 0.522904i | ||||
\(515\) | −35.2013 | − | 10.3360i | −1.55116 | − | 0.455461i | ||||
\(516\) | −6.22533 | − | 23.8908i | −0.274055 | − | 1.05174i | ||||
\(517\) | −7.05761 | + | 6.11545i | −0.310393 | + | 0.268957i | ||||
\(518\) | 2.95661 | − | 0.425096i | 0.129906 | − | 0.0186776i | ||||
\(519\) | −2.08558 | + | 6.37247i | −0.0915469 | + | 0.279720i | ||||
\(520\) | −1.22070 | − | 4.15733i | −0.0535314 | − | 0.182311i | ||||
\(521\) | −19.4946 | − | 22.4980i | −0.854075 | − | 0.985656i | 0.145918 | − | 0.989297i | \(-0.453386\pi\) |
−0.999993 | + | 0.00364116i | \(0.998841\pi\) | |||||||
\(522\) | 42.5970 | + | 8.82068i | 1.86442 | + | 0.386071i | ||||
\(523\) | −19.1499 | + | 12.3069i | −0.837367 | + | 0.538143i | −0.887611 | − | 0.460594i | \(-0.847636\pi\) |
0.0502443 | + | 0.998737i | \(0.484000\pi\) | |||||||
\(524\) | 12.7172 | + | 19.7883i | 0.555551 | + | 0.864455i | ||||
\(525\) | −1.75934 | + | 0.198063i | −0.0767840 | + | 0.00864418i | ||||
\(526\) | 41.6949 | + | 19.0414i | 1.81798 | + | 0.830246i | ||||
\(527\) | 6.32954 | − | 7.30468i | 0.275719 | − | 0.318197i | ||||
\(528\) | −7.72365 | + | 8.37951i | −0.336129 | + | 0.364671i | ||||
\(529\) | −5.19143 | + | 5.99123i | −0.225714 | + | 0.260488i | ||||
\(530\) | −5.04376 | − | 1.48098i | −0.219087 | − | 0.0643297i | ||||
\(531\) | −2.19837 | + | 35.7664i | −0.0954013 | + | 1.55213i | ||||
\(532\) | −2.01636 | + | 0.289909i | −0.0874205 | + | 0.0125692i | ||||
\(533\) | −1.63660 | + | 0.747412i | −0.0708892 | + | 0.0323740i | ||||
\(534\) | 12.4400 | − | 10.1279i | 0.538331 | − | 0.438278i | ||||
\(535\) | 11.8522i | 0.512417i | ||||||||
\(536\) | −6.82052 | − | 10.1808i | −0.294602 | − | 0.439742i | ||||
\(537\) | 7.11271 | − | 40.5848i | 0.306936 | − | 1.75137i | ||||
\(538\) | 19.9251 | + | 17.2652i | 0.859034 | + | 0.744357i | ||||
\(539\) | −3.78719 | − | 8.29279i | −0.163126 | − | 0.357196i | ||||
\(540\) | −15.9450 | − | 6.32578i | −0.686162 | − | 0.272218i | ||||
\(541\) | −0.942460 | − | 3.20972i | −0.0405195 | − | 0.137997i | 0.936749 | − | 0.350002i | \(-0.113819\pi\) |
−0.977269 | + | 0.212005i | \(0.932001\pi\) | |||||||
\(542\) | −7.04757 | + | 24.0018i | −0.302719 | + | 1.03097i | ||||
\(543\) | 21.5985 | + | 26.5292i | 0.926882 | + | 1.13848i | ||||
\(544\) | 4.44215 | − | 6.91211i | 0.190455 | − | 0.296354i | ||||
\(545\) | 3.83765 | + | 3.32534i | 0.164387 | + | 0.142442i | ||||
\(546\) | −0.839447 | − | 0.576632i | −0.0359250 | − | 0.0246776i | ||||
\(547\) | −4.37496 | − | 14.8997i | −0.187060 | − | 0.637067i | −0.998606 | − | 0.0527792i | \(-0.983192\pi\) |
0.811546 | − | 0.584288i | \(-0.198626\pi\) | |||||||
\(548\) | −14.4256 | + | 9.27076i | −0.616231 | + | 0.396027i | ||||
\(549\) | −7.23145 | − | 31.7105i | −0.308631 | − | 1.35337i | ||||
\(550\) | 1.04831 | + | 7.29115i | 0.0447000 | + | 0.310895i | ||||
\(551\) | −33.2843 | + | 28.8410i | −1.41796 | + | 1.22867i | ||||
\(552\) | 10.0039 | − | 1.12622i | 0.425793 | − | 0.0479349i | ||||
\(553\) | −0.0568486 | + | 0.395391i | −0.00241745 | + | 0.0168137i | ||||
\(554\) | 3.46741 | + | 24.1164i | 0.147316 | + | 1.02461i | ||||
\(555\) | −21.8355 | + | 13.1038i | −0.926864 | + | 0.556226i | ||||
\(556\) | −9.49379 | + | 4.33567i | −0.402626 | + | 0.183873i | ||||
\(557\) | 8.77328 | − | 29.8790i | 0.371736 | − | 1.26602i | −0.535193 | − | 0.844730i | \(-0.679761\pi\) |
0.906928 | − | 0.421285i | \(-0.138421\pi\) | |||||||
\(558\) | −26.1823 | − | 25.6632i | −1.10839 | − | 1.08641i | ||||
\(559\) | 5.19109 | + | 11.3669i | 0.219560 | + | 0.480769i | ||||
\(560\) | −4.58012 | − | 0.658522i | −0.193545 | − | 0.0278276i | ||||
\(561\) | 2.96791 | − | 1.24679i | 0.125305 | − | 0.0526396i | ||||
\(562\) | 3.79776 | − | 26.4140i | 0.160199 | − | 1.11421i | ||||
\(563\) | 37.9889 | + | 11.1546i | 1.60104 | + | 0.470108i | 0.955836 | − | 0.293901i | \(-0.0949534\pi\) |
0.645206 | + | 0.764009i | \(0.276772\pi\) | |||||||
\(564\) | −10.4095 | − | 9.59479i | −0.438321 | − | 0.404014i | ||||
\(565\) | 56.0678 | 2.35879 | ||||||||
\(566\) | 22.0841 | 0.928263 | ||||||||
\(567\) | 2.79883 | − | 0.883057i | 0.117540 | − | 0.0370849i | ||||
\(568\) | −11.5138 | − | 5.25816i | −0.483107 | − | 0.220628i | ||||
\(569\) | −26.2109 | + | 22.7119i | −1.09882 | + | 0.952133i | −0.999080 | − | 0.0428809i | \(-0.986346\pi\) |
−0.0997395 | + | 0.995014i | \(0.531801\pi\) | |||||||
\(570\) | 40.6224 | − | 24.3781i | 1.70148 | − | 1.02109i | ||||
\(571\) | 1.38048 | − | 3.02282i | 0.0577711 | − | 0.126501i | −0.878545 | − | 0.477660i | \(-0.841485\pi\) |
0.936316 | + | 0.351159i | \(0.114212\pi\) | |||||||
\(572\) | −0.839773 | + | 1.30671i | −0.0351127 | + | 0.0546364i | ||||
\(573\) | 0.590052 | − | 3.36681i | 0.0246498 | − | 0.140651i | ||||
\(574\) | 1.02739i | 0.0428824i | ||||||||
\(575\) | 6.57937 | − | 10.2377i | 0.274379 | − | 0.426942i | ||||
\(576\) | −1.06027 | − | 0.777266i | −0.0441779 | − | 0.0323861i | ||||
\(577\) | −39.3900 | − | 5.66343i | −1.63983 | − | 0.235772i | −0.740187 | − | 0.672401i | \(-0.765263\pi\) |
−0.899641 | + | 0.436630i | \(0.856172\pi\) | |||||||
\(578\) | 22.4599 | − | 14.4341i | 0.934210 | − | 0.600380i | ||||
\(579\) | −37.3159 | − | 12.2128i | −1.55080 | − | 0.507545i | ||||
\(580\) | 24.5048 | − | 11.1910i | 1.01751 | − | 0.464680i | ||||
\(581\) | 1.29426 | − | 2.83404i | 0.0536951 | − | 0.117576i | ||||
\(582\) | 6.56100 | + | 3.24323i | 0.271962 | + | 0.134436i | ||||
\(583\) | −0.569825 | − | 1.24774i | −0.0235997 | − | 0.0516762i | ||||
\(584\) | 3.16132 | + | 3.64836i | 0.130817 | + | 0.150970i | ||||
\(585\) | 8.50211 | + | 1.76056i | 0.351519 | + | 0.0727901i | ||||
\(586\) | 6.89631 | + | 0.991540i | 0.284884 | + | 0.0409601i | ||||
\(587\) | −5.57777 | + | 1.63778i | −0.230219 | + | 0.0675984i | −0.394807 | − | 0.918764i | \(-0.629189\pi\) |
0.164588 | + | 0.986362i | \(0.447370\pi\) | |||||||
\(588\) | 11.8504 | − | 7.11161i | 0.488702 | − | 0.293278i | ||||
\(589\) | 36.7401 | − | 5.28244i | 1.51385 | − | 0.217659i | ||||
\(590\) | 32.7281 | + | 50.9259i | 1.34739 | + | 2.09659i | ||||
\(591\) | −10.4636 | − | 24.9079i | −0.430414 | − | 1.02457i | ||||
\(592\) | −24.6081 | + | 7.22558i | −1.01139 | + | 0.296970i | ||||
\(593\) | 13.7643 | − | 30.1397i | 0.565233 | − | 1.23769i | −0.384064 | − | 0.923307i | \(-0.625476\pi\) |
0.949297 | − | 0.314381i | \(-0.101797\pi\) | |||||||
\(594\) | −4.02966 | − | 11.5265i | −0.165339 | − | 0.472939i | ||||
\(595\) | 1.09960 | + | 0.706667i | 0.0450790 | + | 0.0289705i | ||||
\(596\) | 2.03513 | + | 1.76345i | 0.0833623 | + | 0.0722338i | ||||
\(597\) | 2.26398 | − | 4.57999i | 0.0926584 | − | 0.187446i | ||||
\(598\) | 6.71674 | − | 1.97221i | 0.274668 | − | 0.0806498i | ||||
\(599\) | −6.14891 | − | 42.7666i | −0.251238 | − | 1.74740i | −0.590805 | − | 0.806814i | \(-0.701190\pi\) |
0.339568 | − | 0.940582i | \(-0.389719\pi\) | |||||||
\(600\) | 7.86556 | − | 2.04956i | 0.321110 | − | 0.0836729i | ||||
\(601\) | 3.39021 | − | 3.91251i | 0.138289 | − | 0.159594i | −0.682380 | − | 0.730997i | \(-0.739055\pi\) |
0.820670 | + | 0.571403i | \(0.193601\pi\) | |||||||
\(602\) | 7.13565 | 0.290827 | ||||||||
\(603\) | 24.4322 | − | 2.46326i | 0.994956 | − | 0.100312i | ||||
\(604\) | 12.0347 | 0.489686 | ||||||||
\(605\) | 17.2786 | − | 19.9406i | 0.702477 | − | 0.810702i | ||||
\(606\) | 20.6640 | − | 5.38450i | 0.839417 | − | 0.218730i | ||||
\(607\) | −6.04687 | − | 42.0569i | −0.245435 | − | 1.70704i | −0.623969 | − | 0.781449i | \(-0.714481\pi\) |
0.378534 | − | 0.925587i | \(-0.376428\pi\) | |||||||
\(608\) | 30.2752 | − | 8.88960i | 1.22782 | − | 0.360521i | ||||
\(609\) | −2.04240 | + | 4.13175i | −0.0827624 | + | 0.167427i | ||||
\(610\) | −41.5247 | − | 35.9814i | −1.68129 | − | 1.45684i | ||||
\(611\) | 6.02804 | + | 3.87398i | 0.243868 | + | 0.156725i | ||||
\(612\) | 2.38156 | + | 4.25956i | 0.0962690 | + | 0.172182i | ||||
\(613\) | 0.374219 | − | 0.819424i | 0.0151145 | − | 0.0330962i | −0.901924 | − | 0.431894i | \(-0.857845\pi\) |
0.917039 | + | 0.398798i | \(0.130573\pi\) | |||||||
\(614\) | 22.8321 | − | 6.70410i | 0.921427 | − | 0.270555i | ||||
\(615\) | −3.39238 | − | 8.07534i | −0.136794 | − | 0.325629i | ||||
\(616\) | −0.349048 | − | 0.543129i | −0.0140635 | − | 0.0218833i | ||||
\(617\) | 28.6542 | − | 4.11985i | 1.15357 | − | 0.165859i | 0.461132 | − | 0.887332i | \(-0.347444\pi\) |
0.692443 | + | 0.721473i | \(0.256534\pi\) | |||||||
\(618\) | 33.9460 | − | 20.3715i | 1.36551 | − | 0.819463i | ||||
\(619\) | 21.9394 | − | 6.44198i | 0.881818 | − | 0.258925i | 0.190684 | − | 0.981652i | \(-0.438930\pi\) |
0.691134 | + | 0.722726i | \(0.257111\pi\) | |||||||
\(620\) | −22.4732 | − | 3.23116i | −0.902546 | − | 0.129767i | ||||
\(621\) | −7.43917 | + | 18.7514i | −0.298524 | + | 0.752468i | ||||
\(622\) | 4.47878 | + | 5.16879i | 0.179583 | + | 0.207250i | ||||
\(623\) | 0.706051 | + | 1.54604i | 0.0282873 | + | 0.0619406i | ||||
\(624\) | 7.83888 | + | 3.87491i | 0.313806 | + | 0.155120i | ||||
\(625\) | −12.8144 | + | 28.0597i | −0.512577 | + | 1.12239i | ||||
\(626\) | −43.4942 | + | 19.8631i | −1.73838 | + | 0.793890i | ||||
\(627\) | 11.7492 | + | 3.84527i | 0.469217 | + | 0.153565i | ||||
\(628\) | 7.37523 | − | 4.73977i | 0.294304 | − | 0.189138i | ||||
\(629\) | 7.17098 | + | 1.03103i | 0.285926 | + | 0.0411099i | ||||
\(630\) | 2.93129 | − | 3.99858i | 0.116786 | − | 0.159307i | ||||
\(631\) | −6.85289 | + | 10.6633i | −0.272809 | + | 0.424499i | −0.950442 | − | 0.310901i | \(-0.899369\pi\) |
0.677633 | + | 0.735400i | \(0.263006\pi\) | |||||||
\(632\) | − | 1.83391i | − | 0.0729492i | ||||||
\(633\) | 5.39103 | − | 30.7610i | 0.214274 | − | 1.22264i | ||||
\(634\) | −4.27617 | + | 6.65386i | −0.169829 | + | 0.264258i | ||||
\(635\) | 0.101903 | − | 0.223137i | 0.00404391 | − | 0.00885492i | ||||
\(636\) | 1.78302 | − | 1.07002i | 0.0707014 | − | 0.0424290i | ||||
\(637\) | −5.28667 | + | 4.58093i | −0.209465 | + | 0.181503i | ||||
\(638\) | 17.4432 | + | 7.96602i | 0.690581 | + | 0.315378i | ||||
\(639\) | 20.1520 | − | 15.4028i | 0.797199 | − | 0.609325i | ||||
\(640\) | 31.1283 | 1.23046 | ||||||||
\(641\) | −10.1898 | −0.402474 | −0.201237 | − | 0.979543i | \(-0.564496\pi\) | ||||
−0.201237 | + | 0.979543i | \(0.564496\pi\) | |||||||
\(642\) | −9.40428 | − | 8.66822i | −0.371157 | − | 0.342107i | ||||
\(643\) | −12.5544 | − | 3.68630i | −0.495097 | − | 0.145374i | 0.0246460 | − | 0.999696i | \(-0.492154\pi\) |
−0.519743 | + | 0.854323i | \(0.673972\pi\) | |||||||
\(644\) | 0.208544 | − | 1.45045i | 0.00821777 | − | 0.0571559i | ||||
\(645\) | −56.0866 | + | 23.5615i | −2.20841 | + | 0.927733i | ||||
\(646\) | −13.3408 | − | 1.91811i | −0.524886 | − | 0.0754672i | ||||
\(647\) | −1.60419 | − | 3.51268i | −0.0630671 | − | 0.138098i | 0.875474 | − | 0.483265i | \(-0.160549\pi\) |
−0.938541 | + | 0.345168i | \(0.887822\pi\) | |||||||
\(648\) | −12.1417 | + | 5.84154i | −0.476973 | + | 0.229477i | ||||
\(649\) | −4.45036 | + | 15.1565i | −0.174692 | + | 0.594946i | ||||
\(650\) | 5.14131 | − | 2.34796i | 0.201659 | − | 0.0920945i | ||||
\(651\) | 3.33071 | − | 1.99881i | 0.130541 | − | 0.0783396i | ||||
\(652\) | 0.871357 | + | 6.06042i | 0.0341250 | + | 0.237344i | ||||
\(653\) | 5.04516 | − | 35.0899i | 0.197432 | − | 1.37317i | −0.614268 | − | 0.789098i | \(-0.710549\pi\) |
0.811700 | − | 0.584074i | \(-0.198542\pi\) | |||||||
\(654\) | −5.44521 | + | 0.613011i | −0.212925 | + | 0.0239706i | ||||
\(655\) | 43.8040 | − | 37.9564i | 1.71156 | − | 1.48308i | ||||
\(656\) | −1.25541 | − | 8.73154i | −0.0490154 | − | 0.340909i | ||||
\(657\) | −9.43153 | + | 2.15082i | −0.367959 | + | 0.0839116i | ||||
\(658\) | 3.44218 | − | 2.21215i | 0.134190 | − | 0.0862387i | ||||
\(659\) | 7.01422 | + | 23.8882i | 0.273235 | + | 0.930553i | 0.975751 | + | 0.218885i | \(0.0702419\pi\) |
−0.702516 | + | 0.711668i | \(0.747940\pi\) | |||||||
\(660\) | −6.23297 | − | 4.28154i | −0.242618 | − | 0.166659i | ||||
\(661\) | 38.2797 | + | 33.1695i | 1.48891 | + | 1.29014i | 0.857255 | + | 0.514892i | \(0.172168\pi\) |
0.631651 | + | 0.775253i | \(0.282377\pi\) | |||||||
\(662\) | 16.0865 | − | 25.0311i | 0.625219 | − | 0.972860i | ||||
\(663\) | −1.55951 | − | 1.91553i | −0.0605663 | − | 0.0743928i | ||||
\(664\) | −4.02983 | + | 13.7243i | −0.156388 | + | 0.532607i | ||||
\(665\) | 1.41418 | + | 4.81625i | 0.0548395 | + | 0.186766i | ||||
\(666\) | 5.57216 | − | 26.9091i | 0.215917 | − | 1.04271i | ||||
\(667\) | −13.1607 | − | 28.8179i | −0.509584 | − | 1.11583i | ||||
\(668\) | 19.6775 | + | 17.0506i | 0.761345 | + | 0.659709i | ||||
\(669\) | −6.83988 | + | 39.0281i | −0.264445 | + | 1.50891i | ||||
\(670\) | 30.8275 | − | 27.7588i | 1.19097 | − | 1.07242i | ||||
\(671\) | − | 14.3376i | − | 0.553495i | ||||||
\(672\) | 2.56074 | − | 2.08481i | 0.0987827 | − | 0.0804231i | ||||
\(673\) | −21.2864 | + | 9.72119i | −0.820532 | + | 0.374724i | −0.781029 | − | 0.624495i | \(-0.785305\pi\) |
−0.0395030 | + | 0.999219i | \(0.512577\pi\) | |||||||
\(674\) | −29.1397 | + | 4.18966i | −1.12242 | + | 0.161380i | ||||
\(675\) | −3.79064 | + | 15.8407i | −0.145902 | + | 0.609708i | ||||
\(676\) | −13.2942 | − | 3.90352i | −0.511314 | − | 0.150135i | ||||
\(677\) | 10.4148 | − | 12.0193i | 0.400273 | − | 0.461940i | −0.519454 | − | 0.854499i | \(-0.673865\pi\) |
0.919727 | + | 0.392559i | \(0.128410\pi\) | |||||||
\(678\) | −41.0056 | + | 44.4876i | −1.57481 | + | 1.70854i | ||||
\(679\) | −0.507810 | + | 0.586043i | −0.0194879 | + | 0.0224903i | ||||
\(680\) | −5.45860 | − | 2.49286i | −0.209328 | − | 0.0955967i | ||||
\(681\) | −34.8906 | + | 3.92791i | −1.33701 | + | 0.150518i | ||||
\(682\) | −8.73757 | − | 13.5959i | −0.334579 | − | 0.520615i | ||||
\(683\) | −22.5015 | + | 14.4608i | −0.860995 | + | 0.553328i | −0.894986 | − | 0.446094i | \(-0.852815\pi\) |
0.0339912 | + | 0.999422i | \(0.489178\pi\) | |||||||
\(684\) | −3.80013 | + | 18.3517i | −0.145302 | + | 0.701693i | ||||
\(685\) | 27.6701 | + | 31.9330i | 1.05722 | + | 1.22010i | ||||
\(686\) | 2.26812 | + | 7.72449i | 0.0865971 | + | 0.294923i | ||||
\(687\) | 9.01930 | − | 27.5583i | 0.344108 | − | 1.05142i | ||||
\(688\) | −60.6442 | + | 8.71932i | −2.31204 | + | 0.332421i | ||||
\(689\) | −0.795438 | + | 0.689251i | −0.0303038 | + | 0.0262584i | ||||
\(690\) | 8.59325 | + | 32.9782i | 0.327139 | + | 1.25546i | ||||
\(691\) | −33.5966 | − | 9.86486i | −1.27808 | − | 0.375277i | −0.428883 | − | 0.903360i | \(-0.641093\pi\) |
−0.849193 | + | 0.528083i | \(0.822911\pi\) | |||||||
\(692\) | −4.07589 | − | 1.86139i | −0.154942 | − | 0.0707596i | ||||
\(693\) | 1.28946 | − | 0.105210i | 0.0489824 | − | 0.00399659i | ||||
\(694\) | −3.26009 | + | 22.6744i | −0.123751 | + | 0.860709i | ||||
\(695\) | 13.9039 | + | 21.6349i | 0.527406 | + | 0.820659i | ||||
\(696\) | 6.58172 | − | 20.1103i | 0.249479 | − | 0.762280i | ||||
\(697\) | −0.702032 | + | 2.39090i | −0.0265914 | + | 0.0905619i | ||||
\(698\) | −22.0905 | − | 14.1967i | −0.836137 | − | 0.537353i | ||||
\(699\) | −6.76706 | + | 38.6125i | −0.255954 | + | 1.46046i | ||||
\(700\) | − | 1.18315i | − | 0.0447187i | ||||||
\(701\) | 9.96420 | + | 6.40360i | 0.376342 | + | 0.241861i | 0.715114 | − | 0.699008i | \(-0.246375\pi\) |
−0.338771 | + | 0.940869i | \(0.610011\pi\) | |||||||
\(702\) | −7.61501 | + | 5.45849i | −0.287410 | + | 0.206018i | ||||
\(703\) | 18.2193 | + | 21.0262i | 0.687154 | + | 0.793018i | ||||
\(704\) | −0.379511 | − | 0.437979i | −0.0143033 | − | 0.0165069i | ||||
\(705\) | −19.7513 | + | 28.7535i | −0.743878 | + | 1.08292i | ||||
\(706\) | −7.08871 | − | 4.55564i | −0.266787 | − | 0.171454i | ||||
\(707\) | 2.26250i | 0.0850902i | ||||||||
\(708\) | −23.5873 | − | 4.13380i | −0.886465 | − | 0.155358i | ||||
\(709\) | 20.2416 | + | 13.0085i | 0.760189 | + | 0.488544i | 0.862405 | − | 0.506218i | \(-0.168957\pi\) |
−0.102216 | + | 0.994762i | \(0.532593\pi\) | |||||||
\(710\) | 12.0719 | − | 41.1133i | 0.453052 | − | 1.54295i | ||||
\(711\) | 3.24289 | + | 1.72883i | 0.121618 | + | 0.0648361i | ||||
\(712\) | −4.21864 | − | 6.56433i | −0.158100 | − | 0.246009i | ||||
\(713\) | −3.79987 | + | 26.4287i | −0.142306 | + | 0.989762i | ||||
\(714\) | −1.36491 | + | 0.355660i | −0.0510804 | + | 0.0133102i | ||||
\(715\) | 3.48156 | + | 1.58997i | 0.130203 | + | 0.0594616i | ||||
\(716\) | 26.4197 | + | 7.75752i | 0.987351 | + | 0.289912i | ||||
\(717\) | 5.37906 | − | 1.40164i | 0.200885 | − | 0.0523453i | ||||
\(718\) | −37.3447 | + | 32.3594i | −1.39369 | + | 1.20764i | ||||
\(719\) | −17.4066 | + | 2.50269i | −0.649157 | + | 0.0933346i | −0.459024 | − | 0.888424i | \(-0.651801\pi\) |
−0.190132 | + | 0.981758i | \(0.560892\pi\) | |||||||
\(720\) | −20.0264 | + | 37.5649i | −0.746339 | + | 1.39996i | ||||
\(721\) | 1.18175 | + | 4.02469i | 0.0440108 | + | 0.149887i | ||||
\(722\) | −11.7857 | − | 13.6014i | −0.438619 | − | 0.506193i | ||||
\(723\) | 33.4034 | + | 1.02560i | 1.24229 | + | 0.0381424i | ||||
\(724\) | −19.2322 | + | 12.3598i | −0.714757 | + | 0.459347i | ||||
\(725\) | −13.8292 | − | 21.5186i | −0.513603 | − | 0.799181i | ||||
\(726\) | 3.18524 | + | 28.2936i | 0.118215 | + | 1.05007i | ||||
\(727\) | 37.9963 | + | 17.3523i | 1.40921 | + | 0.643563i | 0.967332 | − | 0.253514i | \(-0.0815865\pi\) |
0.441874 | + | 0.897077i | \(0.354314\pi\) | |||||||
\(728\) | −0.324410 | + | 0.374389i | −0.0120234 | + | 0.0138758i | ||||
\(729\) | 1.11648 | − | 26.9769i | 0.0413511 | − | 0.999145i | ||||
\(730\) | −10.7018 | + | 12.3505i | −0.396092 | + | 0.457114i | ||||
\(731\) | 16.6058 | + | 4.87591i | 0.614188 | + | 0.180342i | ||||
\(732\) | 21.5988 | − | 2.43155i | 0.798315 | − | 0.0898726i | ||||
\(733\) | −17.8276 | + | 2.56322i | −0.658476 | + | 0.0946746i | −0.463449 | − | 0.886123i | \(-0.653388\pi\) |
−0.195027 | + | 0.980798i | \(0.562479\pi\) | |||||||
\(734\) | −5.71410 | + | 2.60954i | −0.210911 | + | 0.0963199i | ||||
\(735\) | −21.5008 | − | 26.4092i | −0.793071 | − | 0.974119i | ||||
\(736\) | 22.6976i | 0.836644i | ||||||||
\(737\) | 10.7421 | + | 1.33596i | 0.395691 | + | 0.0492106i | ||||
\(738\) | 8.88850 | + | 3.21424i | 0.327190 | + | 0.118318i | ||||
\(739\) | −12.9239 | − | 11.1986i | −0.475414 | − | 0.411949i | 0.383917 | − | 0.923367i | \(-0.374575\pi\) |
−0.859332 | + | 0.511419i | \(0.829120\pi\) | |||||||
\(740\) | −7.06951 | − | 15.4801i | −0.259880 | − | 0.569059i | ||||
\(741\) | 0.291108 | − | 9.48130i | 0.0106941 | − | 0.348304i | ||||
\(742\) | 0.169326 | + | 0.576670i | 0.00621614 | + | 0.0211702i | ||||
\(743\) | 4.33548 | − | 14.7653i | 0.159053 | − | 0.541686i | −0.840946 | − | 0.541118i | \(-0.818001\pi\) |
1.00000 | 0.000567882i | \(-0.000180763\pi\) | ||||||||
\(744\) | −13.8297 | + | 11.2594i | −0.507023 | + | 0.412788i | ||||
\(745\) | 3.58739 | − | 5.58208i | 0.131432 | − | 0.204512i | ||||
\(746\) | −2.00535 | − | 1.73764i | −0.0734209 | − | 0.0636196i | ||||
\(747\) | −20.4696 | − | 20.0638i | −0.748945 | − | 0.734096i | ||||
\(748\) | 0.606083 | + | 2.06413i | 0.0221606 | + | 0.0754720i | ||||
\(749\) | 1.13999 | − | 0.732626i | 0.0416542 | − | 0.0267696i | ||||
\(750\) | −6.34192 | − | 15.0965i | −0.231574 | − | 0.551248i | ||||
\(751\) | 4.07875 | + | 28.3684i | 0.148836 | + | 1.03518i | 0.918129 | + | 0.396281i | \(0.129699\pi\) |
−0.769294 | + | 0.638895i | \(0.779392\pi\) | |||||||
\(752\) | −26.5511 | + | 23.0067i | −0.968221 | + | 0.838968i | ||||
\(753\) | 0.803328 | + | 7.13575i | 0.0292749 | + | 0.260041i | ||||
\(754\) | 2.09401 | − | 14.5642i | 0.0762593 | − | 0.530395i | ||||
\(755\) | −4.22028 | − | 29.3527i | −0.153592 | − | 1.06825i | ||||
\(756\) | 0.377176 | + | 1.92466i | 0.0137178 | + | 0.0699991i | ||||
\(757\) | 9.35834 | − | 4.27381i | 0.340135 | − | 0.155334i | −0.238023 | − | 0.971260i | \(-0.576499\pi\) |
0.578157 | + | 0.815925i | \(0.303772\pi\) | |||||||
\(758\) | −12.4527 | + | 42.4100i | −0.452303 | + | 1.54040i | ||||
\(759\) | −5.03512 | + | 7.33002i | −0.182763 | + | 0.266063i | ||||
\(760\) | −9.57323 | − | 20.9624i | −0.347258 | − | 0.760388i | ||||
\(761\) | −12.6542 | − | 1.81940i | −0.458715 | − | 0.0659533i | −0.0909162 | − | 0.995859i | \(-0.528980\pi\) |
−0.367799 | + | 0.929905i | \(0.619889\pi\) | |||||||
\(762\) | 0.102523 | + | 0.244049i | 0.00371400 | + | 0.00884096i | ||||
\(763\) | 0.0826247 | − | 0.574668i | 0.00299122 | − | 0.0208044i | ||||
\(764\) | 2.19171 | + | 0.643544i | 0.0792933 | + | 0.0232826i | ||||
\(765\) | 9.55390 | − | 7.30235i | 0.345422 | − | 0.264017i | ||||
\(766\) | 22.1919 | 0.801825 | ||||||||
\(767\) | 12.1207 | 0.437653 | ||||||||
\(768\) | −23.7947 | + | 25.8153i | −0.858619 | + | 0.931529i | ||||
\(769\) | −7.44723 | − | 3.40104i | −0.268554 | − | 0.122645i | 0.276587 | − | 0.960989i | \(-0.410797\pi\) |
−0.545141 | + | 0.838344i | \(0.683524\pi\) | |||||||
\(770\) | 1.65174 | − | 1.43124i | 0.0595247 | − | 0.0515785i | ||||
\(771\) | −14.3138 | − | 23.8517i | −0.515499 | − | 0.858999i | ||||
\(772\) | 10.9000 | − | 23.8676i | 0.392298 | − | 0.859013i | ||||
\(773\) | −19.0578 | + | 29.6545i | −0.685461 | + | 1.06660i | 0.307885 | + | 0.951424i | \(0.400379\pi\) |
−0.993345 | + | 0.115174i | \(0.963257\pi\) | |||||||
\(774\) | 22.3242 | − | 61.7344i | 0.802428 | − | 2.21900i | ||||
\(775\) | 21.5581i | 0.774389i | ||||||||
\(776\) | 1.92473 | − | 2.99494i | 0.0690938 | − | 0.107512i | ||||
\(777\) | 2.61009 | + | 1.29022i | 0.0936364 | + | 0.0462863i | ||||
\(778\) | −65.2766 | − | 9.38536i | −2.34028 | − | 0.336482i | ||||
\(779\) | −8.05022 | + | 5.17356i | −0.288429 | + | 0.185362i | ||||
\(780\) | −1.80477 | + | 5.51443i | −0.0646210 | + | 0.197448i | ||||
\(781\) | 10.1707 | − | 4.64482i | 0.363937 | − | 0.166205i | ||||
\(782\) | 4.02755 | − | 8.81911i | 0.144025 | − | 0.315371i | ||||
\(783\) | 29.3563 | + | 30.5963i | 1.04911 | + | 1.09342i | ||||
\(784\) | −14.2476 | − | 31.1980i | −0.508844 | − | 1.11421i | ||||
\(785\) | −14.1466 | − | 16.3261i | −0.504914 | − | 0.582702i | ||||
\(786\) | −1.91947 | + | 62.5164i | −0.0684651 | + | 2.22989i | ||||
\(787\) | −6.87501 | − | 0.988477i | −0.245068 | − | 0.0352354i | 0.0186863 | − | 0.999825i | \(-0.494052\pi\) |
−0.263754 | + | 0.964590i | \(0.584961\pi\) | |||||||
\(788\) | 17.3230 | − | 5.08649i | 0.617107 | − | 0.181199i | ||||
\(789\) | 22.9907 | + | 38.3103i | 0.818489 | + | 1.36388i | ||||
\(790\) | 6.14503 | − | 0.883522i | 0.218630 | − | 0.0314343i | ||||
\(791\) | −3.46573 | − | 5.39279i | −0.123227 | − | 0.191745i | ||||
\(792\) | −5.79092 | + | 1.32060i | −0.205771 | + | 0.0469254i | ||||
\(793\) | −10.5557 | + | 3.09943i | −0.374843 | + | 0.110064i | ||||
\(794\) | 5.58909 | − | 12.2384i | 0.198349 | − | 0.434324i | ||||
\(795\) | −3.23504 | − | 3.97356i | −0.114735 | − | 0.140928i | ||||
\(796\) | 2.87221 | + | 1.84586i | 0.101803 | + | 0.0654246i | ||||
\(797\) | 23.9600 | + | 20.7615i | 0.848708 | + | 0.735410i | 0.966236 | − | 0.257660i | \(-0.0829513\pi\) |
−0.117527 | + | 0.993070i | \(0.537497\pi\) | |||||||
\(798\) | −4.85577 | − | 2.40030i | −0.171892 | − | 0.0849697i | ||||
\(799\) | 9.52211 | − | 2.79594i | 0.336868 | − | 0.0989133i | ||||
\(800\) | 2.60808 | + | 18.1396i | 0.0922096 | + | 0.641332i | ||||
\(801\) | 15.5845 | − | 1.27158i | 0.550652 | − | 0.0449290i | ||||
\(802\) | 34.6664 | − | 40.0072i | 1.22411 | − | 1.41270i | ||||
\(803\) | −4.26437 | −0.150486 | ||||||||
\(804\) | −0.190766 | + | 16.4090i | −0.00672781 | + | 0.578701i | ||||
\(805\) | −3.61079 | −0.127263 | ||||||||
\(806\) | −8.12082 | + | 9.37193i | −0.286044 | + | 0.330112i | ||||
\(807\) | 6.48007 | + | 24.8684i | 0.228109 | + | 0.875411i | ||||
\(808\) | −1.47825 | − | 10.2815i | −0.0520048 | − | 0.361701i | ||||
\(809\) | 29.7753 | − | 8.74281i | 1.04684 | − | 0.307381i | 0.287302 | − | 0.957840i | \(-0.407242\pi\) |
0.759541 | + | 0.650459i | \(0.225424\pi\) | |||||||
\(810\) | −25.4232 | − | 37.8700i | −0.893280 | − | 1.33062i | ||||
\(811\) | 1.47243 | + | 1.27587i | 0.0517041 | + | 0.0448019i | 0.680330 | − | 0.732906i | \(-0.261837\pi\) |
−0.628625 | + | 0.777708i | \(0.716382\pi\) | |||||||
\(812\) | −2.59111 | − | 1.66520i | −0.0909301 | − | 0.0584372i | ||||
\(813\) | −18.9090 | + | 15.3946i | −0.663168 | + | 0.539913i | ||||
\(814\) | 5.03226 | − | 11.0191i | 0.176380 | − | 0.386219i | ||||
\(815\) | 14.4758 | − | 4.25048i | 0.507065 | − | 0.148888i | ||||
\(816\) | 11.1654 | − | 4.69050i | 0.390869 | − | 0.164200i | ||||
\(817\) | 35.9326 | + | 55.9122i | 1.25712 | + | 1.95612i | ||||
\(818\) | 8.96873 | − | 1.28951i | 0.313584 | − | 0.0450866i | ||||
\(819\) | −0.356207 | − | 0.926587i | −0.0124469 | − | 0.0323776i | ||||
\(820\) | 5.61626 | − | 1.64908i | 0.196128 | − | 0.0575885i | ||||
\(821\) | 34.0384 | + | 4.89398i | 1.18795 | + | 0.170801i | 0.707817 | − | 0.706396i | \(-0.249680\pi\) |
0.480130 | + | 0.877197i | \(0.340589\pi\) | |||||||
\(822\) | −45.5742 | − | 1.39928i | −1.58958 | − | 0.0488056i | ||||
\(823\) | 29.2403 | + | 33.7451i | 1.01925 | + | 1.17628i | 0.984230 | + | 0.176893i | \(0.0566046\pi\) |
0.0350219 | + | 0.999387i | \(0.488850\pi\) | |||||||
\(824\) | −7.99985 | − | 17.5172i | −0.278688 | − | 0.610241i | ||||
\(825\) | −3.18174 | + | 6.43662i | −0.110774 | + | 0.224094i | ||||
\(826\) | 2.87519 | − | 6.29579i | 0.100041 | − | 0.219058i | ||||
\(827\) | 16.5185 | − | 7.54374i | 0.574404 | − | 0.262322i | −0.106963 | − | 0.994263i | \(-0.534113\pi\) |
0.681368 | + | 0.731941i | \(0.261385\pi\) | |||||||
\(828\) | −11.8962 | − | 6.34204i | −0.413422 | − | 0.220401i | ||||
\(829\) | −25.0238 | + | 16.0819i | −0.869114 | + | 0.558546i | −0.897482 | − | 0.441052i | \(-0.854606\pi\) |
0.0283675 | + | 0.999598i | \(0.490969\pi\) | |||||||
\(830\) | −47.9286 | − | 6.89109i | −1.66363 | − | 0.239193i | ||||
\(831\) | −10.5240 | + | 21.2899i | −0.365074 | + | 0.738539i | ||||
\(832\) | −0.240410 | + | 0.374086i | −0.00833473 | + | 0.0129691i | ||||
\(833\) | 9.68828i | 0.335679i | ||||||||
\(834\) | −27.3352 | − | 4.79064i | −0.946540 | − | 0.165886i | ||||
\(835\) | 34.6861 | − | 53.9726i | 1.20036 | − | 1.86780i | ||||
\(836\) | −3.43193 | + | 7.51488i | −0.118696 | + | 0.259907i | ||||
\(837\) | −6.87252 | − | 35.0691i | −0.237549 | − | 1.21217i | ||||
\(838\) | −1.31967 | + | 1.14350i | −0.0455872 | + | 0.0395015i | ||||
\(839\) | −34.6738 | − | 15.8350i | −1.19707 | − | 0.546684i | −0.285720 | − | 0.958313i | \(-0.592233\pi\) |
−0.911352 | + | 0.411629i | \(0.864960\pi\) | |||||||
\(840\) | −1.77330 | − | 1.63451i | −0.0611848 | − | 0.0563959i | ||||
\(841\) | −37.5898 | −1.29620 | ||||||||
\(842\) | −19.0741 | −0.657337 | ||||||||
\(843\) | 17.6293 | − | 19.1263i | 0.607184 | − | 0.658744i | ||||
\(844\) | 20.0246 | + | 5.87976i | 0.689276 | + | 0.202390i | ||||
\(845\) | −4.85874 | + | 33.7933i | −0.167146 | + | 1.16252i | ||||
\(846\) | −8.36951 | − | 36.7010i | −0.287750 | − | 1.26181i | ||||
\(847\) | −2.98600 | − | 0.429323i | −0.102600 | − | 0.0147517i | ||||
\(848\) | −2.14371 | − | 4.69408i | −0.0736154 | − | 0.161195i | ||||
\(849\) | 17.7434 | + | 12.1883i | 0.608952 | + | 0.418300i | ||||
\(850\) | 2.20540 | − | 7.51090i | 0.0756446 | − | 0.257622i | ||||
\(851\) | −18.2047 | + | 8.31380i | −0.624048 | + | 0.284993i | ||||
\(852\) | 8.72207 | + | 14.5340i | 0.298813 | + | 0.497925i | ||||
\(853\) | −4.76521 | − | 33.1428i | −0.163158 | − | 1.13479i | −0.892634 | − | 0.450781i | \(-0.851145\pi\) |
0.729477 | − | 0.684006i | \(-0.239764\pi\) | |||||||
\(854\) | −0.894029 | + | 6.21811i | −0.0305931 | + | 0.212779i | ||||
\(855\) | 46.0923 | + | 2.83305i | 1.57632 | + | 0.0968883i | ||||
\(856\) | −4.70176 | + | 4.07410i | −0.160703 | + | 0.139250i | ||||
\(857\) | −3.19454 | − | 22.2185i | −0.109123 | − | 0.758969i | −0.968749 | − | 0.248044i | \(-0.920212\pi\) |
0.859625 | − | 0.510925i | \(-0.170697\pi\) | |||||||
\(858\) | −3.80784 | + | 1.59964i | −0.129997 | + | 0.0546108i | ||||
\(859\) | 3.99709 | − | 2.56878i | 0.136379 | − | 0.0876455i | −0.470672 | − | 0.882308i | \(-0.655989\pi\) |
0.607051 | + | 0.794663i | \(0.292352\pi\) | |||||||
\(860\) | −11.4536 | − | 39.0073i | −0.390564 | − | 1.33014i | ||||
\(861\) | −0.567019 | + | 0.825453i | −0.0193240 | + | 0.0281314i | ||||
\(862\) | −22.0459 | − | 19.1029i | −0.750886 | − | 0.650647i | ||||
\(863\) | −26.1419 | + | 40.6777i | −0.889882 | + | 1.38468i | 0.0329402 | + | 0.999457i | \(0.489513\pi\) |
−0.922822 | + | 0.385226i | \(0.874123\pi\) | |||||||
\(864\) | −10.0254 | − | 28.6768i | −0.341070 | − | 0.975604i | ||||
\(865\) | −3.11063 | + | 10.5938i | −0.105765 | + | 0.360201i | ||||
\(866\) | 4.50682 | + | 15.3488i | 0.153148 | + | 0.521575i | ||||
\(867\) | 26.0116 | + | 0.798645i | 0.883400 | + | 0.0271234i | ||||
\(868\) | 1.07836 | + | 2.36128i | 0.0366019 | + | 0.0801470i | ||||
\(869\) | 1.22431 | + | 1.06087i | 0.0415319 | + | 0.0359876i | ||||
\(870\) | 70.5560 | + | 12.3653i | 2.39207 | + | 0.419224i | ||||
\(871\) | −1.33861 | − | 8.19742i | −0.0453572 | − | 0.277759i | ||||
\(872\) | 2.66544i | 0.0902632i | ||||||||
\(873\) | 3.48147 | + | 6.22680i | 0.117830 | + | 0.210745i | ||||
\(874\) | 33.8677 | − | 15.4669i | 1.14559 | − | 0.523174i | ||||
\(875\) | 1.71726 | − | 0.246905i | 0.0580540 | − | 0.00834690i | ||||
\(876\) | −0.723207 | − | 6.42405i | −0.0244349 | − | 0.217049i | ||||
\(877\) | 12.9143 | + | 3.79198i | 0.436085 | + | 0.128046i | 0.492404 | − | 0.870367i | \(-0.336118\pi\) |
−0.0563193 | + | 0.998413i | \(0.517936\pi\) | |||||||
\(878\) | −23.2777 | + | 26.8639i | −0.785585 | + | 0.906613i | ||||
\(879\) | 4.99359 | + | 4.60274i | 0.168430 | + | 0.155247i | ||||
\(880\) | −12.2889 | + | 14.1821i | −0.414259 | + | 0.478080i | ||||
\(881\) | −24.8061 | − | 11.3286i | −0.835738 | − | 0.381669i | −0.0488815 | − | 0.998805i | \(-0.515566\pi\) |
−0.786857 | + | 0.617136i | \(0.788293\pi\) | |||||||
\(882\) | 36.6795 | + | 2.25449i | 1.23506 | + | 0.0759127i | ||||
\(883\) | 8.31803 | + | 12.9431i | 0.279924 | + | 0.435570i | 0.952536 | − | 0.304425i | \(-0.0984642\pi\) |
−0.672612 | + | 0.739995i | \(0.734828\pi\) | |||||||
\(884\) | 1.38864 | − | 0.892428i | 0.0467052 | − | 0.0300156i | ||||
\(885\) | −1.81086 | + | 58.9790i | −0.0608713 | + | 1.98256i | ||||
\(886\) | −4.22413 | − | 4.87491i | −0.141913 | − | 0.163776i | ||||
\(887\) | 5.28865 | + | 18.0115i | 0.177575 | + | 0.604766i | 0.999387 | + | 0.0350069i | \(0.0111453\pi\) |
−0.821812 | + | 0.569759i | \(0.807036\pi\) | |||||||
\(888\) | −12.7040 | − | 4.15777i | −0.426318 | − | 0.139526i | ||||
\(889\) | −0.0277610 | + | 0.00399143i | −0.000931074 | + | 0.000133868i | ||||
\(890\) | 19.9632 | − | 17.2982i | 0.669167 | − | 0.579836i | ||||
\(891\) | 3.12390 | − | 11.4849i | 0.104655 | − | 0.384760i | ||||
\(892\) | −25.4063 | − | 7.45996i | −0.850666 | − | 0.249778i | ||||
\(893\) | 34.6671 | + | 15.8320i | 1.16009 | + | 0.529796i | ||||
\(894\) | 1.80550 | + | 6.92894i | 0.0603850 | + | 0.231738i | ||||
\(895\) | 9.65586 | − | 67.1580i | 0.322760 | − | 2.24484i | ||||
\(896\) | −1.92414 | − | 2.99403i | −0.0642811 | − | 0.100023i | ||||
\(897\) | 6.48502 | + | 2.12242i | 0.216528 | + | 0.0708655i | ||||
\(898\) | −15.2710 | + | 52.0082i | −0.509599 | + | 1.73554i | ||||
\(899\) | 47.2125 | + | 30.3417i | 1.57463 | + | 1.01195i | ||||
\(900\) | −10.2360 | − | 3.70153i | −0.341201 | − | 0.123384i | ||||
\(901\) | 1.45771i | 0.0485633i | ||||||||
\(902\) | 3.50514 | + | 2.25262i | 0.116708 | + | 0.0750040i | ||||
\(903\) | 5.73312 | + | 3.93819i | 0.190786 | + | 0.131055i | ||||
\(904\) | 19.2728 | + | 22.2420i | 0.641004 | + | 0.739758i | ||||
\(905\) | 36.8897 | + | 42.5729i | 1.22625 | + | 1.41517i | ||||
\(906\) | 26.3767 | + | 18.1186i | 0.876307 | + | 0.601951i | ||||
\(907\) | −43.8162 | − | 28.1589i | −1.45489 | − | 0.935002i | −0.998988 | − | 0.0449728i | \(-0.985680\pi\) |
−0.455903 | − | 0.890029i | \(-0.650684\pi\) | |||||||
\(908\) | − | 23.4637i | − | 0.778670i | ||||||
\(909\) | 19.5741 | + | 7.07836i | 0.649234 | + | 0.234774i | ||||
\(910\) | −1.41079 | − | 0.906657i | −0.0467671 | − | 0.0300554i | ||||
\(911\) | −0.903794 | + | 3.07804i | −0.0299440 | + | 0.101980i | −0.973109 | − | 0.230344i | \(-0.926015\pi\) |
0.943165 | + | 0.332324i | \(0.107833\pi\) | |||||||
\(912\) | 44.2011 | + | 14.4661i | 1.46364 | + | 0.479022i | ||||
\(913\) | −6.83114 | − | 10.6295i | −0.226078 | − | 0.351784i | ||||
\(914\) | 1.32007 | − | 9.18127i | 0.0436639 | − | 0.303689i | ||||
\(915\) | −13.5047 | − | 51.8268i | −0.446452 | − | 1.71334i | ||||
\(916\) | 17.6266 | + | 8.04978i | 0.582398 | + | 0.265972i | ||||
\(917\) | −6.35844 | − | 1.86701i | −0.209974 | − | 0.0616539i | ||||
\(918\) | −1.19318 | + | 12.9213i | −0.0393808 | + | 0.426465i | ||||
\(919\) | 40.2144 | − | 34.8460i | 1.32655 | − | 1.14946i | 0.349386 | − | 0.936979i | \(-0.386390\pi\) |
0.977165 | − | 0.212484i | \(-0.0681553\pi\) | |||||||
\(920\) | 16.4085 | − | 2.35918i | 0.540971 | − | 0.0777799i | ||||
\(921\) | 22.0444 | + | 7.21469i | 0.726387 | + | 0.237732i | ||||
\(922\) | −8.38898 | − | 28.5702i | −0.276276 | − | 0.940911i | ||||
\(923\) | −5.61830 | − | 6.48386i | −0.184928 | − | 0.213419i | ||||
\(924\) | −0.0265328 | + | 0.864163i | −0.000872863 | + | 0.0284289i | ||||
\(925\) | −13.5936 | + | 8.73610i | −0.446956 | + | 0.287241i | ||||
\(926\) | 13.8509 | + | 21.5524i | 0.455169 | + | 0.708257i | ||||
\(927\) | 38.5169 | + | 2.36743i | 1.26506 | + | 0.0777567i | ||||
\(928\) | 43.3967 | + | 19.8186i | 1.42457 | + | 0.650578i | ||||
\(929\) | −24.9202 | + | 28.7594i | −0.817605 | + | 0.943567i | −0.999207 | − | 0.0398052i | \(-0.987326\pi\) |
0.181602 | + | 0.983372i | \(0.441872\pi\) | |||||||
\(930\) | −44.3903 | − | 40.9159i | −1.45562 | − | 1.34169i | ||||
\(931\) | −24.3644 | + | 28.1181i | −0.798512 | + | 0.921533i | ||||
\(932\) | −25.1358 | − | 7.38053i | −0.823350 | − | 0.241757i | ||||
\(933\) | 0.745795 | + | 6.62470i | 0.0244162 | + | 0.216883i | ||||
\(934\) | −28.5297 | + | 4.10195i | −0.933519 | + | 0.134220i | ||||
\(935\) | 4.82187 | − | 2.20207i | 0.157692 | − | 0.0720155i | ||||
\(936\) | 2.22411 | + | 3.97795i | 0.0726974 | + | 0.130023i | ||||
\(937\) | − | 19.6766i | − | 0.642807i | −0.946942 | − | 0.321403i | \(-0.895845\pi\) | ||
0.946942 | − | 0.321403i | \(-0.104155\pi\) | |||||||
\(938\) | −4.57548 | − | 1.24923i | −0.149395 | − | 0.0407888i | ||||
\(939\) | −45.9078 | − | 8.04559i | −1.49814 | − | 0.262558i | ||||
\(940\) | −17.6179 | − | 15.2660i | −0.574633 | − | 0.497923i | ||||
\(941\) | −12.0649 | − | 26.4184i | −0.393304 | − | 0.861217i | −0.997906 | − | 0.0646882i | \(-0.979395\pi\) |
0.604601 | − | 0.796528i | \(-0.293333\pi\) | |||||||
\(942\) | 23.3003 | + | 0.715399i | 0.759165 | + | 0.0233089i | ||||
\(943\) | −1.93933 | − | 6.60477i | −0.0631534 | − | 0.215081i | ||||
\(944\) | −16.7425 | + | 57.0197i | −0.544922 | + | 1.85583i | ||||
\(945\) | 4.56197 | − | 1.59486i | 0.148401 | − | 0.0518808i | ||||
\(946\) | 15.6454 | − | 24.3447i | 0.508675 | − | 0.791514i | ||||
\(947\) | −6.52369 | − | 5.65281i | −0.211991 | − | 0.183692i | 0.542392 | − | 0.840125i | \(-0.317519\pi\) |
−0.754384 | + | 0.656434i | \(0.772064\pi\) | |||||||
\(948\) | −1.39051 | + | 2.02428i | −0.0451618 | + | 0.0657455i | ||||
\(949\) | 0.921851 | + | 3.13954i | 0.0299246 | + | 0.101914i | ||||
\(950\) | 25.2894 | − | 16.2525i | 0.820496 | − | 0.527301i | ||||
\(951\) | −7.10796 | + | 2.98599i | −0.230491 | + | 0.0968274i | ||||
\(952\) | 0.0976423 | + | 0.679117i | 0.00316461 | + | 0.0220103i | ||||
\(953\) | 18.3965 | − | 15.9407i | 0.595922 | − | 0.516369i | −0.303856 | − | 0.952718i | \(-0.598274\pi\) |
0.899778 | + | 0.436349i | \(0.143729\pi\) | |||||||
\(954\) | 5.51883 | + | 0.339213i | 0.178679 | + | 0.0109824i | ||||
\(955\) | 0.801026 | − | 5.57125i | 0.0259206 | − | 0.180282i | ||||
\(956\) | 0.528657 | + | 3.67689i | 0.0170980 | + | 0.118919i | ||||
\(957\) | 9.61819 | + | 16.0272i | 0.310912 | + | 0.518086i | ||||
\(958\) | −4.55707 | + | 2.08114i | −0.147232 | + | 0.0672387i | ||||
\(959\) | 1.36104 | − | 4.63528i | 0.0439503 | − | 0.149681i | ||||
\(960\) | −1.78438 | − | 1.22572i | −0.0575905 | − | 0.0395600i | ||||
\(961\) | −6.77090 | − | 14.8262i | −0.218416 | − | 0.478265i | ||||
\(962\) | −9.20040 | − | 1.32282i | −0.296633 | − | 0.0426493i | ||||
\(963\) | −2.77183 | − | 12.1547i | −0.0893211 | − | 0.391680i | ||||
\(964\) | −3.17833 | + | 22.1057i | −0.102367 | + | 0.711978i | ||||
\(965\) | −62.0353 | − | 18.2152i | −1.99699 | − | 0.586369i | ||||
\(966\) | 2.64077 | − | 2.86501i | 0.0849654 | − | 0.0921803i | ||||
\(967\) | −44.5088 | −1.43131 | −0.715654 | − | 0.698455i | \(-0.753871\pi\) | ||||
−0.715654 | + | 0.698455i | \(0.753871\pi\) | |||||||
\(968\) | 13.8498 | 0.445149 | ||||||||
\(969\) | −9.66000 | − | 8.90392i | −0.310324 | − | 0.286035i | ||||
\(970\) | 10.9626 | + | 5.00647i | 0.351989 | + | 0.160748i | ||||
\(971\) | 11.8130 | − | 10.2361i | 0.379099 | − | 0.328491i | −0.444380 | − | 0.895839i | \(-0.646576\pi\) |
0.823478 | + | 0.567348i | \(0.192030\pi\) | |||||||
\(972\) | 17.8313 | + | 2.75823i | 0.571938 | + | 0.0884703i | ||||
\(973\) | 1.22147 | − | 2.67465i | 0.0391586 | − | 0.0857453i | ||||
\(974\) | 3.12221 | − | 4.85825i | 0.100042 | − | 0.155668i | ||||
\(975\) | 5.42662 | + | 0.951044i | 0.173791 | + | 0.0304578i | ||||
\(976\) | − | 53.9387i | − | 1.72654i | ||||||
\(977\) | −25.0882 | + | 39.0380i | −0.802643 | + | 1.24894i | 0.162369 | + | 0.986730i | \(0.448086\pi\) |
−0.965012 | + | 0.262206i | \(0.915550\pi\) | |||||||
\(978\) | −7.21439 | + | 14.5946i | −0.230691 | + | 0.466683i | ||||
\(979\) | 6.82268 | + | 0.980953i | 0.218054 | + | 0.0313514i | ||||
\(980\) | 19.1452 | − | 12.3038i | 0.611570 | − | 0.393032i | ||||
\(981\) | −4.71327 | − | 2.51271i | −0.150483 | − | 0.0802246i | ||||
\(982\) | −7.90093 | + | 3.60823i | −0.252129 | + | 0.115143i | ||||
\(983\) | −2.68455 | + | 5.87835i | −0.0856240 | + | 0.187490i | −0.947600 | − | 0.319458i | \(-0.896499\pi\) |
0.861976 | + | 0.506948i | \(0.169226\pi\) | |||||||
\(984\) | 2.03737 | − | 4.12157i | 0.0649491 | − | 0.131391i | ||||
\(985\) | −18.4807 | − | 40.4671i | −0.588844 | − | 1.28939i | ||||
\(986\) | −13.3450 | − | 15.4010i | −0.424992 | − | 0.490467i | ||||
\(987\) | 3.98650 | + | 0.122399i | 0.126892 | + | 0.00389601i | ||||
\(988\) | 6.27454 | + | 0.902143i | 0.199620 | + | 0.0287010i | ||||
\(989\) | −45.8729 | + | 13.4695i | −1.45867 | + | 0.428305i | ||||
\(990\) | −7.21491 | − | 18.7679i | −0.229305 | − | 0.596481i | ||||
\(991\) | 1.47196 | − | 0.211636i | 0.0467583 | − | 0.00672283i | −0.118896 | − | 0.992907i | \(-0.537935\pi\) |
0.165654 | + | 0.986184i | \(0.447026\pi\) | |||||||
\(992\) | −21.7382 | − | 33.8252i | −0.690187 | − | 1.07395i | ||||
\(993\) | 26.7394 | − | 11.2330i | 0.848548 | − | 0.356467i | ||||
\(994\) | −4.70062 | + | 1.38023i | −0.149094 | + | 0.0437781i | ||||
\(995\) | 3.49483 | − | 7.65261i | 0.110793 | − | 0.242604i | ||||
\(996\) | 14.8542 | − | 12.0934i | 0.470674 | − | 0.383195i | ||||
\(997\) | −21.5701 | − | 13.8623i | −0.683133 | − | 0.439023i | 0.152505 | − | 0.988303i | \(-0.451266\pi\) |
−0.835639 | + | 0.549280i | \(0.814902\pi\) | |||||||
\(998\) | 22.0325 | + | 19.0913i | 0.697427 | + | 0.604324i | ||||
\(999\) | 19.3282 | − | 18.5448i | 0.611516 | − | 0.586731i |
(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 | 201.2.j.a.5.5 | ✓ | 200 | |
3.2 | odd | 2 | inner | 201.2.j.a.5.16 | yes | 200 | |
67.27 | odd | 22 | inner | 201.2.j.a.161.16 | yes | 200 | |
201.161 | even | 22 | inner | 201.2.j.a.161.5 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.j.a.5.5 | ✓ | 200 | 1.1 | even | 1 | trivial | |
201.2.j.a.5.16 | yes | 200 | 3.2 | odd | 2 | inner | |
201.2.j.a.161.5 | yes | 200 | 201.161 | even | 22 | inner | |
201.2.j.a.161.16 | yes | 200 | 67.27 | odd | 22 | inner |