Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(16,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.s (of order \(55\), degree \(40\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(880\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{55})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{55}]$ |
Embedding invariants
Embedding label | 416.12 | ||
Character | \(\chi\) | \(=\) | 605.416 |
Dual form | 605.2.s.b.16.12 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{53}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.252480 | − | 0.0289694i | 0.178531 | − | 0.0204845i | −0.0242651 | − | 0.999706i | \(-0.507725\pi\) |
0.202796 | + | 0.979221i | \(0.434997\pi\) | |||||||
\(3\) | 2.55133 | − | 1.85365i | 1.47301 | − | 1.07021i | 0.493284 | − | 0.869868i | \(-0.335796\pi\) |
0.979727 | − | 0.200337i | \(-0.0642038\pi\) | |||||||
\(4\) | −1.88512 | + | 0.438365i | −0.942558 | + | 0.219183i | ||||
\(5\) | −0.564443 | − | 0.825472i | −0.252427 | − | 0.369162i | ||||
\(6\) | 0.590461 | − | 0.541921i | 0.241055 | − | 0.221238i | ||||
\(7\) | −0.840226 | + | 0.864572i | −0.317576 | + | 0.326778i | −0.857059 | − | 0.515219i | \(-0.827711\pi\) |
0.539483 | + | 0.841997i | \(0.318620\pi\) | |||||||
\(8\) | −0.941970 | + | 0.336094i | −0.333037 | + | 0.118827i | ||||
\(9\) | 2.14622 | − | 6.60538i | 0.715406 | − | 2.20179i | ||||
\(10\) | −0.166424 | − | 0.192064i | −0.0526280 | − | 0.0607359i | ||||
\(11\) | 2.57360 | − | 2.09202i | 0.775971 | − | 0.630768i | ||||
\(12\) | −3.99698 | + | 4.61276i | −1.15383 | + | 1.33159i | ||||
\(13\) | −2.11158 | − | 3.50167i | −0.585648 | − | 0.971188i | −0.998184 | − | 0.0602467i | \(-0.980811\pi\) |
0.412535 | − | 0.910942i | \(-0.364643\pi\) | |||||||
\(14\) | −0.187094 | + | 0.242628i | −0.0500031 | + | 0.0648451i | ||||
\(15\) | −2.97022 | − | 1.05977i | −0.766907 | − | 0.273632i | ||||
\(16\) | 3.24558 | − | 1.59575i | 0.811396 | − | 0.398936i | ||||
\(17\) | −2.71444 | − | 2.21958i | −0.658348 | − | 0.538328i | 0.243762 | − | 0.969835i | \(-0.421618\pi\) |
−0.902110 | + | 0.431507i | \(0.857982\pi\) | |||||||
\(18\) | 0.350524 | − | 1.72990i | 0.0826192 | − | 0.407742i | ||||
\(19\) | −1.09712 | + | 0.0627356i | −0.251696 | + | 0.0143925i | −0.182482 | − | 0.983209i | \(-0.558413\pi\) |
−0.0692148 | + | 0.997602i | \(0.522049\pi\) | |||||||
\(20\) | 1.42590 | + | 1.30868i | 0.318841 | + | 0.292629i | ||||
\(21\) | −0.541080 | + | 3.76330i | −0.118073 | + | 0.821218i | ||||
\(22\) | 0.589180 | − | 0.602750i | 0.125614 | − | 0.128507i | ||||
\(23\) | 0.207803 | + | 1.44530i | 0.0433300 | + | 0.301367i | 0.999950 | + | 0.0100271i | \(0.00319179\pi\) |
−0.956620 | + | 0.291339i | \(0.905899\pi\) | |||||||
\(24\) | −1.78028 | + | 2.60357i | −0.363397 | + | 0.531452i | ||||
\(25\) | −0.362808 | + | 0.931864i | −0.0725615 | + | 0.186373i | ||||
\(26\) | −0.634575 | − | 0.822931i | −0.124450 | − | 0.161390i | ||||
\(27\) | −3.84479 | − | 11.8330i | −0.739929 | − | 2.27727i | ||||
\(28\) | 1.20493 | − | 1.99815i | 0.227710 | − | 0.377614i | ||||
\(29\) | −0.00387771 | − | 0.00995983i | −0.000720074 | − | 0.00184949i | 0.931504 | − | 0.363732i | \(-0.118498\pi\) |
−0.932224 | + | 0.361883i | \(0.882134\pi\) | |||||||
\(30\) | −0.780622 | − | 0.181526i | −0.142521 | − | 0.0331419i | ||||
\(31\) | 7.98936 | − | 3.37633i | 1.43493 | − | 0.606407i | 0.473336 | − | 0.880882i | \(-0.343049\pi\) |
0.961594 | + | 0.274475i | \(0.0885040\pi\) | |||||||
\(32\) | 2.45595 | − | 1.57834i | 0.434155 | − | 0.279014i | ||||
\(33\) | 2.68824 | − | 10.1080i | 0.467962 | − | 1.75958i | ||||
\(34\) | −0.749642 | − | 0.481766i | −0.128563 | − | 0.0826221i | ||||
\(35\) | 1.18794 | + | 0.205581i | 0.200799 | + | 0.0347496i | ||||
\(36\) | −1.15030 | + | 13.3927i | −0.191717 | + | 2.23212i | ||||
\(37\) | 0.718138 | + | 8.36112i | 0.118061 | + | 1.37456i | 0.780365 | + | 0.625325i | \(0.215033\pi\) |
−0.662304 | + | 0.749236i | \(0.730421\pi\) | |||||||
\(38\) | −0.275184 | + | 0.0476224i | −0.0446407 | + | 0.00772537i | ||||
\(39\) | −11.8782 | − | 5.01978i | −1.90204 | − | 0.803808i | ||||
\(40\) | 0.809125 | + | 0.587864i | 0.127934 | + | 0.0929494i | ||||
\(41\) | −10.0229 | − | 5.66019i | −1.56531 | − | 0.883973i | −0.998177 | − | 0.0603486i | \(-0.980779\pi\) |
−0.567136 | − | 0.823624i | \(-0.691949\pi\) | |||||||
\(42\) | −0.0275916 | + | 0.965833i | −0.00425748 | + | 0.149031i | ||||
\(43\) | 8.91576 | + | 2.61790i | 1.35964 | + | 0.399227i | 0.878636 | − | 0.477491i | \(-0.158454\pi\) |
0.481005 | + | 0.876718i | \(0.340272\pi\) | |||||||
\(44\) | −3.93448 | + | 5.07189i | −0.593145 | + | 0.764615i | ||||
\(45\) | −6.66397 | + | 1.95672i | −0.993406 | + | 0.291690i | ||||
\(46\) | 0.0943358 | + | 0.358891i | 0.0139091 | + | 0.0529155i | ||||
\(47\) | 0.789344 | + | 3.89556i | 0.115138 | + | 0.568226i | 0.995567 | + | 0.0940501i | \(0.0299814\pi\) |
−0.880430 | + | 0.474176i | \(0.842746\pi\) | |||||||
\(48\) | 5.32260 | − | 10.0875i | 0.768251 | − | 1.45600i | ||||
\(49\) | 0.158387 | + | 5.54427i | 0.0226267 | + | 0.792039i | ||||
\(50\) | −0.0646062 | + | 0.245788i | −0.00913670 | + | 0.0347596i | ||||
\(51\) | −11.0398 | − | 0.631276i | −1.54588 | − | 0.0883964i | ||||
\(52\) | 5.51559 | + | 5.67541i | 0.764875 | + | 0.787038i | ||||
\(53\) | 6.26080 | + | 3.07823i | 0.859987 | + | 0.422827i | 0.817267 | − | 0.576260i | \(-0.195488\pi\) |
0.0427208 | + | 0.999087i | \(0.486397\pi\) | |||||||
\(54\) | −1.31353 | − | 2.87623i | −0.178749 | − | 0.391405i | ||||
\(55\) | −3.17956 | − | 0.943611i | −0.428732 | − | 0.127236i | ||||
\(56\) | 0.500890 | − | 1.09680i | 0.0669343 | − | 0.146566i | ||||
\(57\) | −2.68282 | + | 2.19373i | −0.355349 | + | 0.290567i | ||||
\(58\) | −0.00126758 | − | 0.00240233i | −0.000166441 | − | 0.000315441i | ||||
\(59\) | 10.9463 | − | 6.18166i | 1.42509 | − | 0.804783i | 0.429908 | − | 0.902873i | \(-0.358546\pi\) |
0.995178 | + | 0.0980895i | \(0.0312731\pi\) | |||||||
\(60\) | 6.06377 | + | 0.695753i | 0.782830 | + | 0.0898213i | ||||
\(61\) | −8.31385 | − | 0.953925i | −1.06448 | − | 0.122138i | −0.435987 | − | 0.899953i | \(-0.643600\pi\) |
−0.628493 | + | 0.777816i | \(0.716328\pi\) | |||||||
\(62\) | 1.91934 | − | 1.08390i | 0.243757 | − | 0.137656i | ||||
\(63\) | 3.90752 | + | 7.40557i | 0.492301 | + | 0.933015i | ||||
\(64\) | −5.02526 | + | 4.10913i | −0.628157 | + | 0.513641i | ||||
\(65\) | −1.69866 | + | 3.71955i | −0.210693 | + | 0.461353i | ||||
\(66\) | 0.385904 | − | 2.62995i | 0.0475016 | − | 0.323724i | ||||
\(67\) | 0.706270 | + | 1.54652i | 0.0862847 | + | 0.188937i | 0.947856 | − | 0.318700i | \(-0.103246\pi\) |
−0.861571 | + | 0.507637i | \(0.830519\pi\) | |||||||
\(68\) | 6.09002 | + | 2.99426i | 0.738523 | + | 0.363107i | ||||
\(69\) | 3.20926 | + | 3.30225i | 0.386350 | + | 0.397544i | ||||
\(70\) | 0.305887 | + | 0.0174913i | 0.0365605 | + | 0.00209060i | ||||
\(71\) | −0.458338 | + | 1.74370i | −0.0543948 | + | 0.206939i | −0.988793 | − | 0.149290i | \(-0.952301\pi\) |
0.934399 | + | 0.356229i | \(0.115938\pi\) | |||||||
\(72\) | 0.198357 | + | 6.94340i | 0.0233766 | + | 0.818288i | ||||
\(73\) | −3.11500 | + | 5.90358i | −0.364583 | + | 0.690962i | −0.996456 | − | 0.0841099i | \(-0.973195\pi\) |
0.631873 | + | 0.775072i | \(0.282286\pi\) | |||||||
\(74\) | 0.423532 | + | 2.09021i | 0.0492346 | + | 0.242983i | ||||
\(75\) | 0.801708 | + | 3.05001i | 0.0925732 | + | 0.352185i | ||||
\(76\) | 2.04070 | − | 0.599203i | 0.234084 | − | 0.0687333i | ||||
\(77\) | −0.353706 | + | 3.98284i | −0.0403085 | + | 0.453887i | ||||
\(78\) | −3.14444 | − | 0.923290i | −0.356037 | − | 0.104542i | ||||
\(79\) | −0.247313 | + | 8.65709i | −0.0278249 | + | 0.973999i | 0.859023 | + | 0.511937i | \(0.171072\pi\) |
−0.886848 | + | 0.462062i | \(0.847110\pi\) | |||||||
\(80\) | −3.14919 | − | 1.77843i | −0.352090 | − | 0.198835i | ||||
\(81\) | −14.8870 | − | 10.8160i | −1.65411 | − | 1.20178i | ||||
\(82\) | −2.69456 | − | 1.13873i | −0.297564 | − | 0.125752i | ||||
\(83\) | 6.51277 | − | 1.12708i | 0.714869 | − | 0.123713i | 0.198527 | − | 0.980095i | \(-0.436384\pi\) |
0.516342 | + | 0.856382i | \(0.327293\pi\) | |||||||
\(84\) | −0.629698 | − | 7.33144i | −0.0687057 | − | 0.799926i | ||||
\(85\) | −0.300059 | + | 3.49352i | −0.0325459 | + | 0.378926i | ||||
\(86\) | 2.32689 | + | 0.402685i | 0.250915 | + | 0.0434226i | ||||
\(87\) | −0.0283554 | − | 0.0182229i | −0.00304001 | − | 0.00195370i | ||||
\(88\) | −1.72114 | + | 2.83560i | −0.183474 | + | 0.302276i | ||||
\(89\) | −2.44602 | + | 1.57196i | −0.259277 | + | 0.166627i | −0.663822 | − | 0.747891i | \(-0.731067\pi\) |
0.404544 | + | 0.914518i | \(0.367430\pi\) | |||||||
\(90\) | −1.62584 | + | 0.687084i | −0.171378 | + | 0.0724250i | ||||
\(91\) | 4.80165 | + | 1.11658i | 0.503350 | + | 0.117049i | ||||
\(92\) | −1.02530 | − | 2.63347i | −0.106895 | − | 0.274558i | ||||
\(93\) | 14.1250 | − | 23.4236i | 1.46469 | − | 2.42891i | ||||
\(94\) | 0.312146 | + | 0.960686i | 0.0321954 | + | 0.0990872i | ||||
\(95\) | 0.671048 | + | 0.870230i | 0.0688481 | + | 0.0892838i | ||||
\(96\) | 3.34024 | − | 8.57935i | 0.340912 | − | 0.875626i | ||||
\(97\) | 1.94269 | − | 2.84110i | 0.197251 | − | 0.288470i | −0.714148 | − | 0.699995i | \(-0.753186\pi\) |
0.911398 | + | 0.411525i | \(0.135004\pi\) | |||||||
\(98\) | 0.200604 | + | 1.39523i | 0.0202641 | + | 0.140940i | ||||
\(99\) | −8.29508 | − | 21.4896i | −0.833687 | − | 2.15978i | ||||
\(100\) | 0.275438 | − | 1.91571i | 0.0275438 | − | 0.191571i | ||||
\(101\) | 10.3937 | + | 9.53929i | 1.03422 | + | 0.949195i | 0.998740 | − | 0.0501758i | \(-0.0159781\pi\) |
0.0354755 | + | 0.999371i | \(0.488705\pi\) | |||||||
\(102\) | −2.80561 | + | 0.160431i | −0.277797 | + | 0.0158850i | ||||
\(103\) | 1.09425 | − | 5.40035i | 0.107820 | − | 0.532112i | −0.889369 | − | 0.457189i | \(-0.848856\pi\) |
0.997189 | − | 0.0749228i | \(-0.0238710\pi\) | |||||||
\(104\) | 3.16594 | + | 2.58878i | 0.310446 | + | 0.253850i | ||||
\(105\) | 3.41190 | − | 1.67752i | 0.332968 | − | 0.163709i | ||||
\(106\) | 1.66990 | + | 0.595820i | 0.162195 | + | 0.0578712i | ||||
\(107\) | 9.48984 | − | 12.3066i | 0.917417 | − | 1.18973i | −0.0640208 | − | 0.997949i | \(-0.520392\pi\) |
0.981438 | − | 0.191779i | \(-0.0614258\pi\) | |||||||
\(108\) | 12.4351 | + | 20.6212i | 1.19656 | + | 1.98428i | ||||
\(109\) | 9.98758 | − | 11.5263i | 0.956636 | − | 1.10402i | −0.0378638 | − | 0.999283i | \(-0.512055\pi\) |
0.994500 | − | 0.104734i | \(-0.0333992\pi\) | |||||||
\(110\) | −0.830112 | − | 0.146133i | −0.0791481 | − | 0.0139332i | ||||
\(111\) | 17.3308 | + | 20.0008i | 1.64497 | + | 1.89839i | ||||
\(112\) | −1.34739 | + | 4.14683i | −0.127316 | + | 0.391839i | ||||
\(113\) | 8.92987 | − | 3.18617i | 0.840051 | − | 0.299730i | 0.119244 | − | 0.992865i | \(-0.461953\pi\) |
0.720807 | + | 0.693135i | \(0.243771\pi\) | |||||||
\(114\) | −0.613809 | + | 0.631595i | −0.0574885 | + | 0.0591542i | ||||
\(115\) | 1.07576 | − | 0.987327i | 0.100316 | − | 0.0920687i | ||||
\(116\) | 0.0116760 | + | 0.0170756i | 0.00108409 | + | 0.00158543i | ||||
\(117\) | −27.6618 | + | 6.43247i | −2.55733 | + | 0.594682i | ||||
\(118\) | 2.58464 | − | 1.87785i | 0.237936 | − | 0.172870i | ||||
\(119\) | 4.19973 | − | 0.481874i | 0.384989 | − | 0.0441734i | ||||
\(120\) | 3.15404 | 0.287923 | ||||||||
\(121\) | 2.24689 | − | 10.7681i | 0.204262 | − | 0.978916i | ||||
\(122\) | −2.12672 | −0.192544 | ||||||||
\(123\) | −36.0637 | + | 4.13793i | −3.25176 | + | 0.373104i | ||||
\(124\) | −13.5808 | + | 9.86703i | −1.21959 | + | 0.886086i | ||||
\(125\) | 0.974012 | − | 0.226497i | 0.0871183 | − | 0.0202585i | ||||
\(126\) | 1.20111 | + | 1.75656i | 0.107003 | + | 0.156487i | ||||
\(127\) | −1.08824 | + | 0.998777i | −0.0965656 | + | 0.0886271i | −0.723004 | − | 0.690844i | \(-0.757239\pi\) |
0.626438 | + | 0.779471i | \(0.284512\pi\) | |||||||
\(128\) | −5.21901 | + | 5.37023i | −0.461300 | + | 0.474666i | ||||
\(129\) | 27.5997 | − | 9.84757i | 2.43002 | − | 0.867030i | ||||
\(130\) | −0.321125 | + | 0.988321i | −0.0281645 | + | 0.0866815i | ||||
\(131\) | −8.58292 | − | 9.90521i | −0.749893 | − | 0.865422i | 0.244665 | − | 0.969608i | \(-0.421322\pi\) |
−0.994558 | + | 0.104185i | \(0.966777\pi\) | |||||||
\(132\) | −0.636649 | + | 20.2332i | −0.0554132 | + | 1.76107i | ||||
\(133\) | 0.867589 | − | 1.00125i | 0.0752295 | − | 0.0868195i | ||||
\(134\) | 0.223121 | + | 0.370005i | 0.0192747 | + | 0.0319635i | ||||
\(135\) | −7.59767 | + | 9.85284i | −0.653904 | + | 0.847997i | ||||
\(136\) | 3.30291 | + | 1.17848i | 0.283222 | + | 0.101053i | ||||
\(137\) | −8.49805 | + | 4.17821i | −0.726038 | + | 0.356969i | −0.766528 | − | 0.642211i | \(-0.778017\pi\) |
0.0404901 | + | 0.999180i | \(0.487108\pi\) | |||||||
\(138\) | 0.905939 | + | 0.740783i | 0.0771187 | + | 0.0630596i | ||||
\(139\) | 1.17535 | − | 5.80059i | 0.0996921 | − | 0.492000i | −0.898861 | − | 0.438233i | \(-0.855605\pi\) |
0.998554 | − | 0.0537668i | \(-0.0171228\pi\) | |||||||
\(140\) | −2.32953 | + | 0.133207i | −0.196881 | + | 0.0112581i | ||||
\(141\) | 9.23489 | + | 8.47571i | 0.777718 | + | 0.713783i | ||||
\(142\) | −0.0652074 | + | 0.453528i | −0.00547209 | + | 0.0380592i | ||||
\(143\) | −12.7600 | − | 4.59443i | −1.06704 | − | 0.384206i | ||||
\(144\) | −3.57478 | − | 24.8631i | −0.297898 | − | 2.07193i | ||||
\(145\) | −0.00603281 | + | 0.00882270i | −0.000500998 | + | 0.000732686i | ||||
\(146\) | −0.615452 | + | 1.58078i | −0.0509352 | + | 0.130826i | ||||
\(147\) | 10.6812 | + | 13.8517i | 0.880974 | + | 1.14247i | ||||
\(148\) | −5.01900 | − | 15.4469i | −0.412559 | − | 1.26973i | ||||
\(149\) | −5.77678 | + | 9.57971i | −0.473252 | + | 0.784800i | −0.997780 | − | 0.0665929i | \(-0.978787\pi\) |
0.524528 | + | 0.851393i | \(0.324242\pi\) | |||||||
\(150\) | 0.290772 | + | 0.746843i | 0.0237415 | + | 0.0609795i | ||||
\(151\) | −5.90440 | − | 1.37301i | −0.480493 | − | 0.111734i | −0.0207480 | − | 0.999785i | \(-0.506605\pi\) |
−0.459745 | + | 0.888051i | \(0.652059\pi\) | |||||||
\(152\) | 1.01237 | − | 0.427831i | 0.0821139 | − | 0.0347016i | ||||
\(153\) | −20.4870 | + | 13.1662i | −1.65627 | + | 1.06442i | ||||
\(154\) | 0.0260768 | + | 1.01584i | 0.00210133 | + | 0.0818583i | ||||
\(155\) | −7.29660 | − | 4.68924i | −0.586077 | − | 0.376649i | ||||
\(156\) | 24.5923 | + | 4.25587i | 1.96896 | + | 0.340742i | ||||
\(157\) | 0.00346003 | − | 0.0402843i | 0.000276140 | − | 0.00321504i | −0.996192 | − | 0.0871824i | \(-0.972214\pi\) |
0.996469 | + | 0.0839674i | \(0.0267592\pi\) | |||||||
\(158\) | 0.188349 | + | 2.19291i | 0.0149843 | + | 0.174458i | ||||
\(159\) | 21.6793 | − | 3.75176i | 1.71928 | − | 0.297534i | ||||
\(160\) | −2.68912 | − | 1.13643i | −0.212594 | − | 0.0898429i | ||||
\(161\) | −1.42417 | − | 1.03472i | −0.112240 | − | 0.0815474i | ||||
\(162\) | −4.07201 | − | 2.29957i | −0.319927 | − | 0.180671i | ||||
\(163\) | −0.626828 | + | 21.9418i | −0.0490970 | + | 1.71862i | 0.486110 | + | 0.873897i | \(0.338415\pi\) |
−0.535207 | + | 0.844721i | \(0.679766\pi\) | |||||||
\(164\) | 21.3756 | + | 6.27643i | 1.66915 | + | 0.490107i | ||||
\(165\) | −9.86123 | + | 3.48633i | −0.767696 | + | 0.271410i | ||||
\(166\) | 1.61169 | − | 0.473236i | 0.125092 | − | 0.0367303i | ||||
\(167\) | 5.99911 | + | 22.8230i | 0.464225 | + | 1.76610i | 0.626574 | + | 0.779362i | \(0.284457\pi\) |
−0.162349 | + | 0.986733i | \(0.551907\pi\) | |||||||
\(168\) | −0.755141 | − | 3.72677i | −0.0582604 | − | 0.287526i | ||||
\(169\) | −1.73622 | + | 3.29051i | −0.133556 | + | 0.253116i | ||||
\(170\) | 0.0254463 | + | 0.890738i | 0.00195164 | + | 0.0683165i | ||||
\(171\) | −1.94026 | + | 7.38153i | −0.148376 | + | 0.564480i | ||||
\(172\) | −17.9549 | − | 1.02670i | −1.36904 | − | 0.0782848i | ||||
\(173\) | 6.77098 | + | 6.96717i | 0.514788 | + | 0.529704i | 0.923826 | − | 0.382813i | \(-0.125045\pi\) |
−0.409038 | + | 0.912517i | \(0.634136\pi\) | |||||||
\(174\) | −0.00768708 | − | 0.00377948i | −0.000582756 | − | 0.000286522i | ||||
\(175\) | −0.500823 | − | 1.09665i | −0.0378587 | − | 0.0828990i | ||||
\(176\) | 5.01451 | − | 10.8967i | 0.377983 | − | 0.821366i | ||||
\(177\) | 16.4690 | − | 36.0620i | 1.23788 | − | 2.71059i | ||||
\(178\) | −0.572032 | + | 0.467749i | −0.0428756 | + | 0.0350592i | ||||
\(179\) | 1.98020 | + | 3.75290i | 0.148007 | + | 0.280505i | 0.947245 | − | 0.320510i | \(-0.103854\pi\) |
−0.799238 | + | 0.601015i | \(0.794763\pi\) | |||||||
\(180\) | 11.7046 | − | 6.60990i | 0.872410 | − | 0.492673i | ||||
\(181\) | −15.7739 | − | 1.80989i | −1.17247 | − | 0.134528i | −0.494203 | − | 0.869346i | \(-0.664540\pi\) |
−0.678264 | + | 0.734818i | \(0.737267\pi\) | |||||||
\(182\) | 1.24467 | + | 0.142813i | 0.0922611 | + | 0.0105860i | ||||
\(183\) | −22.9796 | + | 12.9772i | −1.69870 | + | 0.959301i | ||||
\(184\) | −0.681503 | − | 1.29159i | −0.0502410 | − | 0.0952173i | ||||
\(185\) | 6.49652 | − | 5.31218i | 0.477634 | − | 0.390559i | ||||
\(186\) | 2.88770 | − | 6.32319i | 0.211737 | − | 0.463639i | ||||
\(187\) | −11.6293 | − | 0.0336699i | −0.850419 | − | 0.00246218i | ||||
\(188\) | −3.19568 | − | 6.99757i | −0.233069 | − | 0.510350i | ||||
\(189\) | 13.4610 | + | 6.61833i | 0.979144 | + | 0.481413i | ||||
\(190\) | 0.194636 | + | 0.200276i | 0.0141204 | + | 0.0145296i | ||||
\(191\) | 4.03025 | + | 0.230458i | 0.291618 | + | 0.0166753i | 0.202286 | − | 0.979327i | \(-0.435163\pi\) |
0.0893325 | + | 0.996002i | \(0.471527\pi\) | |||||||
\(192\) | −5.20420 | + | 19.7988i | −0.375581 | + | 1.42886i | ||||
\(193\) | −0.0895320 | − | 3.13403i | −0.00644465 | − | 0.225592i | −0.996430 | − | 0.0844225i | \(-0.973095\pi\) |
0.989985 | − | 0.141170i | \(-0.0450864\pi\) | |||||||
\(194\) | 0.408187 | − | 0.773600i | 0.0293061 | − | 0.0555412i | ||||
\(195\) | 2.56090 | + | 12.6385i | 0.183390 | + | 0.905063i | ||||
\(196\) | −2.72899 | − | 10.3822i | −0.194928 | − | 0.741584i | ||||
\(197\) | 19.7096 | − | 5.78727i | 1.40425 | − | 0.412326i | 0.510111 | − | 0.860109i | \(-0.329604\pi\) |
0.894142 | + | 0.447783i | \(0.147786\pi\) | |||||||
\(198\) | −2.71689 | − | 5.18539i | −0.193081 | − | 0.368510i | ||||
\(199\) | 9.17634 | + | 2.69442i | 0.650493 | + | 0.191002i | 0.590299 | − | 0.807185i | \(-0.299010\pi\) |
0.0601943 | + | 0.998187i | \(0.480828\pi\) | |||||||
\(200\) | 0.0285599 | − | 0.999726i | 0.00201949 | − | 0.0706913i | ||||
\(201\) | 4.66863 | + | 2.63650i | 0.329300 | + | 0.185964i | ||||
\(202\) | 2.90056 | + | 2.10738i | 0.204083 | + | 0.148275i | ||||
\(203\) | 0.0118692 | + | 0.00501594i | 0.000833051 | + | 0.000352050i | ||||
\(204\) | 21.0880 | − | 3.64942i | 1.47645 | − | 0.255510i | ||||
\(205\) | 0.985028 | + | 11.4685i | 0.0687973 | + | 0.800993i | ||||
\(206\) | 0.119832 | − | 1.39518i | 0.00834910 | − | 0.0972068i | ||||
\(207\) | 9.99277 | + | 1.72932i | 0.694545 | + | 0.120196i | ||||
\(208\) | −12.4411 | − | 7.99541i | −0.862635 | − | 0.554382i | ||||
\(209\) | −2.69231 | + | 2.45665i | −0.186231 | + | 0.169930i | ||||
\(210\) | 0.812842 | − | 0.522382i | 0.0560914 | − | 0.0360478i | ||||
\(211\) | −23.9440 | + | 10.1188i | −1.64837 | + | 0.696609i | −0.998012 | − | 0.0630166i | \(-0.979928\pi\) |
−0.650361 | + | 0.759625i | \(0.725382\pi\) | |||||||
\(212\) | −13.1517 | − | 3.05830i | −0.903265 | − | 0.210045i | ||||
\(213\) | 2.06284 | + | 5.29836i | 0.141343 | + | 0.363037i | ||||
\(214\) | 2.03948 | − | 3.38210i | 0.139416 | − | 0.231196i | ||||
\(215\) | −2.87144 | − | 8.83737i | −0.195830 | − | 0.602704i | ||||
\(216\) | 7.59869 | + | 9.85416i | 0.517025 | + | 0.670490i | ||||
\(217\) | −3.79378 | + | 9.74426i | −0.257539 | + | 0.661483i | ||||
\(218\) | 2.18776 | − | 3.19949i | 0.148174 | − | 0.216697i | ||||
\(219\) | 2.99578 | + | 20.8361i | 0.202436 | + | 1.40797i | ||||
\(220\) | 6.40749 | + | 0.385008i | 0.431993 | + | 0.0259573i | ||||
\(221\) | −2.04049 | + | 14.1919i | −0.137258 | + | 0.954650i | ||||
\(222\) | 4.95510 | + | 4.54775i | 0.332564 | + | 0.305225i | ||||
\(223\) | −26.2686 | + | 1.50209i | −1.75907 | + | 0.100587i | −0.906549 | − | 0.422101i | \(-0.861293\pi\) |
−0.852524 | + | 0.522688i | \(0.824929\pi\) | |||||||
\(224\) | −0.698962 | + | 3.44951i | −0.0467013 | + | 0.230480i | ||||
\(225\) | 5.37665 | + | 4.39647i | 0.358443 | + | 0.293098i | ||||
\(226\) | 2.16231 | − | 1.06314i | 0.143835 | − | 0.0707189i | ||||
\(227\) | −0.163054 | − | 0.0581776i | −0.0108223 | − | 0.00386138i | 0.330633 | − | 0.943760i | \(-0.392738\pi\) |
−0.341455 | + | 0.939898i | \(0.610920\pi\) | |||||||
\(228\) | 4.09578 | − | 5.31150i | 0.271250 | − | 0.351763i | ||||
\(229\) | −10.0663 | − | 16.6930i | −0.665198 | − | 1.10311i | −0.987673 | − | 0.156530i | \(-0.949969\pi\) |
0.322475 | − | 0.946578i | \(-0.395485\pi\) | |||||||
\(230\) | 0.243007 | − | 0.280445i | 0.0160234 | − | 0.0184920i | ||||
\(231\) | 6.48037 | + | 10.8172i | 0.426377 | + | 0.711719i | ||||
\(232\) | 0.00700013 | + | 0.00807858i | 0.000459581 | + | 0.000530385i | ||||
\(233\) | 2.40649 | − | 7.40640i | 0.157654 | − | 0.485210i | −0.840766 | − | 0.541399i | \(-0.817895\pi\) |
0.998420 | + | 0.0561891i | \(0.0178950\pi\) | |||||||
\(234\) | −6.79771 | + | 2.42542i | −0.444380 | + | 0.158554i | ||||
\(235\) | 2.77014 | − | 2.85041i | 0.180704 | − | 0.185940i | ||||
\(236\) | −17.9252 | + | 16.4516i | −1.16683 | + | 1.07091i | ||||
\(237\) | 15.4162 | + | 22.5455i | 1.00139 | + | 1.46449i | ||||
\(238\) | 1.04639 | − | 0.243328i | 0.0678274 | − | 0.0157726i | ||||
\(239\) | −7.79065 | + | 5.66024i | −0.503935 | + | 0.366130i | −0.810518 | − | 0.585714i | \(-0.800814\pi\) |
0.306583 | + | 0.951844i | \(0.400814\pi\) | |||||||
\(240\) | −11.3312 | + | 1.30014i | −0.731427 | + | 0.0839234i | ||||
\(241\) | −2.70065 | −0.173964 | −0.0869821 | − | 0.996210i | \(-0.527722\pi\) | ||||
−0.0869821 | + | 0.996210i | \(0.527722\pi\) | |||||||
\(242\) | 0.255349 | − | 2.78382i | 0.0164145 | − | 0.178951i | ||||
\(243\) | −20.7049 | −1.32822 | ||||||||
\(244\) | 16.0907 | − | 1.84624i | 1.03010 | − | 0.118193i | ||||
\(245\) | 4.48724 | − | 3.26017i | 0.286679 | − | 0.208285i | ||||
\(246\) | −8.98551 | + | 2.08949i | −0.572895 | + | 0.133221i | ||||
\(247\) | 2.53634 | + | 3.70928i | 0.161383 | + | 0.236016i | ||||
\(248\) | −6.39097 | + | 5.86558i | −0.405827 | + | 0.372465i | ||||
\(249\) | 14.5270 | − | 14.9479i | 0.920612 | − | 0.947287i | ||||
\(250\) | 0.239357 | − | 0.0854025i | 0.0151383 | − | 0.00540133i | ||||
\(251\) | 6.06797 | − | 18.6753i | 0.383007 | − | 1.17877i | −0.554909 | − | 0.831911i | \(-0.687247\pi\) |
0.937916 | − | 0.346863i | \(-0.112753\pi\) | |||||||
\(252\) | −10.6125 | − | 12.2474i | −0.668523 | − | 0.771517i | ||||
\(253\) | 3.55841 | + | 3.28491i | 0.223715 | + | 0.206521i | ||||
\(254\) | −0.245825 | + | 0.283697i | −0.0154244 | + | 0.0178007i | ||||
\(255\) | 5.71022 | + | 9.46933i | 0.357588 | + | 0.592992i | ||||
\(256\) | 6.76578 | − | 8.77403i | 0.422862 | − | 0.548377i | ||||
\(257\) | −23.7399 | − | 8.47039i | −1.48086 | − | 0.528368i | −0.532736 | − | 0.846281i | \(-0.678836\pi\) |
−0.948120 | + | 0.317913i | \(0.897018\pi\) | |||||||
\(258\) | 6.68311 | − | 3.28586i | 0.416072 | − | 0.204569i | ||||
\(259\) | −7.83219 | − | 6.40435i | −0.486669 | − | 0.397947i | ||||
\(260\) | 1.57165 | − | 7.75641i | 0.0974698 | − | 0.481032i | ||||
\(261\) | −0.0741109 | + | 0.00423781i | −0.00458735 | + | 0.000262314i | ||||
\(262\) | −2.45396 | − | 2.25223i | −0.151606 | − | 0.139143i | ||||
\(263\) | −3.22854 | + | 22.4550i | −0.199080 | + | 1.38463i | 0.607880 | + | 0.794029i | \(0.292020\pi\) |
−0.806960 | + | 0.590606i | \(0.798889\pi\) | |||||||
\(264\) | 0.865001 | + | 10.4249i | 0.0532371 | + | 0.641611i | ||||
\(265\) | −0.992876 | − | 6.90560i | −0.0609919 | − | 0.424208i | ||||
\(266\) | 0.190043 | − | 0.277930i | 0.0116523 | − | 0.0170410i | ||||
\(267\) | −3.32674 | + | 8.54465i | −0.203593 | + | 0.522924i | ||||
\(268\) | −2.00934 | − | 2.60576i | −0.122740 | − | 0.159172i | ||||
\(269\) | −1.26086 | − | 3.88053i | −0.0768760 | − | 0.236600i | 0.905232 | − | 0.424917i | \(-0.139697\pi\) |
−0.982108 | + | 0.188317i | \(0.939697\pi\) | |||||||
\(270\) | −1.63283 | + | 2.70775i | −0.0993710 | + | 0.164788i | ||||
\(271\) | −5.78089 | − | 14.8481i | −0.351164 | − | 0.901958i | −0.991050 | − | 0.133488i | \(-0.957382\pi\) |
0.639886 | − | 0.768470i | \(-0.278981\pi\) | |||||||
\(272\) | −12.3518 | − | 2.87229i | −0.748939 | − | 0.174158i | ||||
\(273\) | 14.3204 | − | 6.05183i | 0.866707 | − | 0.366273i | ||||
\(274\) | −2.02455 | + | 1.30110i | −0.122308 | + | 0.0786023i | ||||
\(275\) | 1.01576 | + | 3.15725i | 0.0612524 | + | 0.190389i | ||||
\(276\) | −7.49742 | − | 4.81830i | −0.451292 | − | 0.290028i | ||||
\(277\) | 14.3871 | + | 2.48979i | 0.864439 | + | 0.149597i | 0.585461 | − | 0.810701i | \(-0.300914\pi\) |
0.278978 | + | 0.960298i | \(0.410004\pi\) | |||||||
\(278\) | 0.128714 | − | 1.49858i | 0.00771972 | − | 0.0898791i | ||||
\(279\) | −5.15504 | − | 60.0191i | −0.308624 | − | 3.59325i | ||||
\(280\) | −1.18810 | + | 0.205609i | −0.0710025 | + | 0.0122875i | ||||
\(281\) | −2.42955 | − | 1.02674i | −0.144935 | − | 0.0612501i | 0.315596 | − | 0.948894i | \(-0.397796\pi\) |
−0.460531 | + | 0.887644i | \(0.652341\pi\) | |||||||
\(282\) | 2.57716 | + | 1.87242i | 0.153468 | + | 0.111501i | ||||
\(283\) | −12.0983 | − | 6.83223i | −0.719170 | − | 0.406134i | 0.0882600 | − | 0.996097i | \(-0.471869\pi\) |
−0.807430 | + | 0.589964i | \(0.799142\pi\) | |||||||
\(284\) | 0.0996441 | − | 3.48800i | 0.00591279 | − | 0.206975i | ||||
\(285\) | 3.32517 | + | 0.976357i | 0.196966 | + | 0.0578344i | ||||
\(286\) | −3.35473 | − | 0.790355i | −0.198370 | − | 0.0467347i | ||||
\(287\) | 13.3151 | − | 3.90968i | 0.785968 | − | 0.230781i | ||||
\(288\) | −5.15455 | − | 19.6099i | −0.303735 | − | 1.15553i | ||||
\(289\) | −0.934423 | − | 4.61156i | −0.0549661 | − | 0.271268i | ||||
\(290\) | −0.00126758 | + | 0.00240233i | −7.44347e−5 | + | 0.000141069i | ||||
\(291\) | −0.309950 | − | 10.8497i | −0.0181696 | − | 0.636018i | ||||
\(292\) | 3.28421 | − | 12.4944i | 0.192194 | − | 0.731182i | ||||
\(293\) | 17.5852 | + | 1.00556i | 1.02734 | + | 0.0587454i | 0.562622 | − | 0.826714i | \(-0.309793\pi\) |
0.464717 | + | 0.885459i | \(0.346156\pi\) | |||||||
\(294\) | 3.09808 | + | 3.18785i | 0.180684 | + | 0.185919i | ||||
\(295\) | −11.2813 | − | 5.54666i | −0.656825 | − | 0.322939i | ||||
\(296\) | −3.48659 | − | 7.63457i | −0.202654 | − | 0.443750i | ||||
\(297\) | −34.6499 | − | 22.4102i | −2.01059 | − | 1.30037i | ||||
\(298\) | −1.18100 | + | 2.58604i | −0.0684137 | + | 0.149805i | ||||
\(299\) | 4.62218 | − | 3.77954i | 0.267308 | − | 0.218576i | ||||
\(300\) | −2.84833 | − | 5.39819i | −0.164448 | − | 0.311665i | ||||
\(301\) | −9.75463 | + | 5.50869i | −0.562247 | + | 0.317516i | ||||
\(302\) | −1.53052 | − | 0.175611i | −0.0880715 | − | 0.0101053i | ||||
\(303\) | 44.2004 | + | 5.07152i | 2.53925 | + | 0.291351i | ||||
\(304\) | −3.46068 | + | 1.95434i | −0.198484 | + | 0.112089i | ||||
\(305\) | 3.90526 | + | 7.40128i | 0.223614 | + | 0.423796i | ||||
\(306\) | −4.79114 | + | 3.91769i | −0.273891 | + | 0.223960i | ||||
\(307\) | −13.1011 | + | 28.6873i | −0.747716 | + | 1.63727i | 0.0227102 | + | 0.999742i | \(0.492770\pi\) |
−0.770427 | + | 0.637529i | \(0.779957\pi\) | |||||||
\(308\) | −1.07916 | − | 7.66317i | −0.0614909 | − | 0.436650i | ||||
\(309\) | −7.21855 | − | 15.8064i | −0.410649 | − | 0.899196i | ||||
\(310\) | −1.97809 | − | 0.972563i | −0.112348 | − | 0.0552379i | ||||
\(311\) | −9.65147 | − | 9.93113i | −0.547285 | − | 0.563143i | 0.385900 | − | 0.922541i | \(-0.373891\pi\) |
−0.933184 | + | 0.359398i | \(0.882982\pi\) | |||||||
\(312\) | 12.8760 | + | 0.736279i | 0.728963 | + | 0.0416836i | ||||
\(313\) | 3.84865 | − | 14.6418i | 0.217538 | − | 0.827602i | −0.765383 | − | 0.643575i | \(-0.777450\pi\) |
0.982921 | − | 0.184027i | \(-0.0589133\pi\) | |||||||
\(314\) | −0.000293426 | − | 0.0102712i | −1.65590e−5 | − | 0.000579639i | ||||
\(315\) | 3.90752 | − | 7.40557i | 0.220164 | − | 0.417257i | ||||
\(316\) | −3.32875 | − | 16.4280i | −0.187257 | − | 0.924150i | ||||
\(317\) | −3.85870 | − | 14.6800i | −0.216726 | − | 0.824512i | −0.983245 | − | 0.182290i | \(-0.941649\pi\) |
0.766519 | − | 0.642222i | \(-0.221987\pi\) | |||||||
\(318\) | 5.36492 | − | 1.57528i | 0.300850 | − | 0.0883375i | ||||
\(319\) | −0.0308159 | − | 0.0175204i | −0.00172536 | − | 0.000980954i | ||||
\(320\) | 6.22844 | + | 1.82884i | 0.348181 | + | 0.102235i | ||||
\(321\) | 1.39951 | − | 48.9891i | 0.0781129 | − | 2.73431i | ||||
\(322\) | −0.389550 | − | 0.219989i | −0.0217088 | − | 0.0122595i | ||||
\(323\) | 3.11731 | + | 2.26486i | 0.173452 | + | 0.126020i | ||||
\(324\) | 32.8051 | + | 13.8636i | 1.82251 | + | 0.770198i | ||||
\(325\) | 4.02918 | − | 0.697277i | 0.223499 | − | 0.0386780i | ||||
\(326\) | 0.477381 | + | 5.55804i | 0.0264397 | + | 0.307832i | ||||
\(327\) | 4.11592 | − | 47.9208i | 0.227611 | − | 2.65003i | ||||
\(328\) | 11.3436 | + | 1.96309i | 0.626347 | + | 0.108394i | ||||
\(329\) | −4.03122 | − | 2.59071i | −0.222249 | − | 0.142830i | ||||
\(330\) | −2.38877 | + | 1.16590i | −0.131497 | + | 0.0641809i | ||||
\(331\) | 17.1069 | − | 10.9939i | 0.940280 | − | 0.604281i | 0.0218055 | − | 0.999762i | \(-0.493059\pi\) |
0.918474 | + | 0.395481i | \(0.129422\pi\) | |||||||
\(332\) | −11.7833 | + | 4.97965i | −0.646690 | + | 0.273294i | ||||
\(333\) | 56.7697 | + | 13.2012i | 3.11096 | + | 0.723422i | ||||
\(334\) | 2.17583 | + | 5.58856i | 0.119056 | + | 0.305792i | ||||
\(335\) | 0.877956 | − | 1.45593i | 0.0479679 | − | 0.0795458i | ||||
\(336\) | 4.24914 | + | 13.0775i | 0.231810 | + | 0.713437i | ||||
\(337\) | 1.74467 | + | 2.26252i | 0.0950380 | + | 0.123247i | 0.837020 | − | 0.547172i | \(-0.184296\pi\) |
−0.741982 | + | 0.670420i | \(0.766114\pi\) | |||||||
\(338\) | −0.343038 | + | 0.881086i | −0.0186588 | + | 0.0479248i | ||||
\(339\) | 16.8770 | − | 24.6818i | 0.916633 | − | 1.34053i | ||||
\(340\) | −0.965792 | − | 6.71723i | −0.0523774 | − | 0.364293i | ||||
\(341\) | 13.4981 | − | 25.4033i | 0.730962 | − | 1.37566i | ||||
\(342\) | −0.276040 | + | 1.91990i | −0.0149265 | + | 0.103816i | ||||
\(343\) | −11.1440 | − | 10.2279i | −0.601719 | − | 0.552253i | ||||
\(344\) | −9.27825 | + | 0.530549i | −0.500250 | + | 0.0286053i | ||||
\(345\) | 0.914470 | − | 4.51309i | 0.0492334 | − | 0.242976i | ||||
\(346\) | 1.91137 | + | 1.56292i | 0.102756 | + | 0.0840232i | ||||
\(347\) | −10.2667 | + | 5.04781i | −0.551147 | + | 0.270981i | −0.695476 | − | 0.718549i | \(-0.744807\pi\) |
0.144330 | + | 0.989530i | \(0.453897\pi\) | |||||||
\(348\) | 0.0614415 | + | 0.0219223i | 0.00329361 | + | 0.00117516i | ||||
\(349\) | −16.8338 | + | 21.8304i | −0.901091 | + | 1.16856i | 0.0839905 | + | 0.996467i | \(0.473233\pi\) |
−0.985081 | + | 0.172089i | \(0.944948\pi\) | |||||||
\(350\) | −0.158217 | − | 0.262374i | −0.00845707 | − | 0.0140245i | ||||
\(351\) | −33.3168 | + | 38.4496i | −1.77832 | + | 2.05229i | ||||
\(352\) | 3.01872 | − | 9.19993i | 0.160898 | − | 0.490358i | ||||
\(353\) | 12.8102 | + | 14.7837i | 0.681816 | + | 0.786858i | 0.986176 | − | 0.165699i | \(-0.0529880\pi\) |
−0.304360 | + | 0.952557i | \(0.598443\pi\) | |||||||
\(354\) | 3.11340 | − | 9.58205i | 0.165475 | − | 0.509280i | ||||
\(355\) | 1.69808 | − | 0.605874i | 0.0901248 | − | 0.0321565i | ||||
\(356\) | 3.92194 | − | 4.03558i | 0.207862 | − | 0.213885i | ||||
\(357\) | 9.82168 | − | 9.01426i | 0.519818 | − | 0.477085i | ||||
\(358\) | 0.608681 | + | 0.890168i | 0.0321698 | + | 0.0470468i | ||||
\(359\) | 36.7248 | − | 8.53999i | 1.93826 | − | 0.450723i | 0.946484 | − | 0.322751i | \(-0.104608\pi\) |
0.991778 | − | 0.127973i | \(-0.0408470\pi\) | |||||||
\(360\) | 5.61962 | − | 4.08289i | 0.296180 | − | 0.215187i | ||||
\(361\) | −17.6764 | + | 2.02818i | −0.930338 | + | 0.106746i | ||||
\(362\) | −4.03504 | −0.212077 | ||||||||
\(363\) | −14.2277 | − | 31.6379i | −0.746761 | − | 1.66056i | ||||
\(364\) | −9.54115 | −0.500092 | ||||||||
\(365\) | 6.63148 | − | 0.760891i | 0.347107 | − | 0.0398269i | ||||
\(366\) | −5.42596 | + | 3.94219i | −0.283619 | + | 0.206062i | ||||
\(367\) | −25.7093 | + | 5.97844i | −1.34201 | + | 0.312072i | −0.835182 | − | 0.549973i | \(-0.814638\pi\) |
−0.506832 | + | 0.862045i | \(0.669183\pi\) | |||||||
\(368\) | 2.98078 | + | 4.35925i | 0.155384 | + | 0.227242i | ||||
\(369\) | −58.8990 | + | 54.0570i | −3.06616 | + | 2.81410i | ||||
\(370\) | 1.48635 | − | 1.52942i | 0.0772718 | − | 0.0795108i | ||||
\(371\) | −7.92184 | + | 2.82651i | −0.411282 | + | 0.146745i | ||||
\(372\) | −16.3591 | + | 50.3481i | −0.848180 | + | 2.61043i | ||||
\(373\) | −7.94757 | − | 9.17198i | −0.411510 | − | 0.474907i | 0.511722 | − | 0.859151i | \(-0.329008\pi\) |
−0.923232 | + | 0.384244i | \(0.874462\pi\) | |||||||
\(374\) | −2.93715 | + | 0.328393i | −0.151876 | + | 0.0169808i | ||||
\(375\) | 2.06518 | − | 2.38335i | 0.106645 | − | 0.123075i | ||||
\(376\) | −2.05282 | − | 3.40421i | −0.105866 | − | 0.175559i | ||||
\(377\) | −0.0266879 | + | 0.0346095i | −0.00137450 | + | 0.00178248i | ||||
\(378\) | 3.59037 | + | 1.28104i | 0.184669 | + | 0.0658896i | ||||
\(379\) | −19.9553 | + | 9.81135i | −1.02503 | + | 0.503975i | −0.874702 | − | 0.484661i | \(-0.838943\pi\) |
−0.150331 | + | 0.988636i | \(0.548034\pi\) | |||||||
\(380\) | −1.64648 | − | 1.34632i | −0.0844628 | − | 0.0690649i | ||||
\(381\) | −0.925075 | + | 4.56543i | −0.0473930 | + | 0.233894i | ||||
\(382\) | 1.02423 | − | 0.0585678i | 0.0524044 | − | 0.00299659i | ||||
\(383\) | 6.35430 | + | 5.83192i | 0.324690 | + | 0.297997i | 0.821899 | − | 0.569633i | \(-0.192915\pi\) |
−0.497210 | + | 0.867631i | \(0.665642\pi\) | |||||||
\(384\) | −3.36088 | + | 23.3755i | −0.171509 | + | 1.19287i | ||||
\(385\) | 3.48737 | − | 1.95611i | 0.177733 | − | 0.0996927i | ||||
\(386\) | −0.113396 | − | 0.788687i | −0.00577170 | − | 0.0401431i | ||||
\(387\) | 36.4274 | − | 53.2734i | 1.85171 | − | 2.70804i | ||||
\(388\) | −2.41677 | + | 6.20741i | −0.122693 | + | 0.315134i | ||||
\(389\) | −0.753438 | − | 0.977075i | −0.0382008 | − | 0.0495397i | 0.772414 | − | 0.635119i | \(-0.219049\pi\) |
−0.810615 | + | 0.585579i | \(0.800867\pi\) | |||||||
\(390\) | 1.01271 | + | 3.11679i | 0.0512804 | + | 0.157825i | ||||
\(391\) | 2.64390 | − | 4.38442i | 0.133708 | − | 0.221730i | ||||
\(392\) | −2.01259 | − | 5.16931i | −0.101651 | − | 0.261089i | ||||
\(393\) | −40.2587 | − | 9.36175i | −2.03078 | − | 0.472238i | ||||
\(394\) | 4.80864 | − | 2.03215i | 0.242256 | − | 0.102378i | ||||
\(395\) | 7.28578 | − | 4.68229i | 0.366587 | − | 0.235591i | ||||
\(396\) | 25.0575 | + | 36.8741i | 1.25919 | + | 1.85299i | ||||
\(397\) | 12.3316 | + | 7.92501i | 0.618903 | + | 0.397745i | 0.812186 | − | 0.583398i | \(-0.198277\pi\) |
−0.193283 | + | 0.981143i | \(0.561914\pi\) | |||||||
\(398\) | 2.39490 | + | 0.414454i | 0.120045 | + | 0.0207747i | ||||
\(399\) | 0.357537 | − | 4.16273i | 0.0178992 | − | 0.208397i | ||||
\(400\) | 0.309496 | + | 3.60339i | 0.0154748 | + | 0.180170i | ||||
\(401\) | 31.3110 | − | 5.41857i | 1.56359 | − | 0.270591i | 0.678004 | − | 0.735058i | \(-0.262845\pi\) |
0.885590 | + | 0.464467i | \(0.153754\pi\) | |||||||
\(402\) | 1.25511 | + | 0.530416i | 0.0625994 | + | 0.0264547i | ||||
\(403\) | −28.6930 | − | 20.8467i | −1.42930 | − | 1.03845i | ||||
\(404\) | −23.7751 | − | 13.4264i | −1.18286 | − | 0.667989i | ||||
\(405\) | −0.525470 | + | 18.3939i | −0.0261108 | + | 0.913998i | ||||
\(406\) | 0.00314204 | 0.000922585i | 0.000155937 | 4.57871e-5i | ||||||
\(407\) | 19.3399 | + | 20.0159i | 0.958641 | + | 0.992150i | ||||
\(408\) | 10.6113 | − | 3.11576i | 0.525337 | − | 0.154253i | ||||
\(409\) | 4.27558 | + | 16.2660i | 0.211414 | + | 0.804301i | 0.985279 | + | 0.170951i | \(0.0546841\pi\) |
−0.773866 | + | 0.633350i | \(0.781680\pi\) | |||||||
\(410\) | 0.580935 | + | 2.86703i | 0.0286903 | + | 0.141592i | ||||
\(411\) | −13.9364 | + | 26.4124i | −0.687432 | + | 1.30283i | ||||
\(412\) | 0.304531 | + | 10.6600i | 0.0150032 | + | 0.525179i | ||||
\(413\) | −3.85287 | + | 14.6579i | −0.189588 | + | 0.721266i | ||||
\(414\) | 2.57307 | + | 0.147134i | 0.126460 | + | 0.00723122i | ||||
\(415\) | −4.60646 | − | 4.73993i | −0.226122 | − | 0.232674i | ||||
\(416\) | −10.7128 | − | 5.26712i | −0.525237 | − | 0.258242i | ||||
\(417\) | −7.75356 | − | 16.9779i | −0.379693 | − | 0.831412i | ||||
\(418\) | −0.608587 | + | 0.698251i | −0.0297669 | + | 0.0341526i | ||||
\(419\) | 5.65924 | − | 12.3920i | 0.276472 | − | 0.605389i | −0.719556 | − | 0.694435i | \(-0.755654\pi\) |
0.996028 | + | 0.0890457i | \(0.0283817\pi\) | |||||||
\(420\) | −5.69647 | + | 4.65798i | −0.277959 | + | 0.227286i | ||||
\(421\) | 14.8388 | + | 28.1226i | 0.723199 | + | 1.37061i | 0.920684 | + | 0.390308i | \(0.127632\pi\) |
−0.197486 | + | 0.980306i | \(0.563278\pi\) | |||||||
\(422\) | −5.75225 | + | 3.24845i | −0.280015 | + | 0.158132i | ||||
\(423\) | 27.4258 | + | 3.14682i | 1.33349 | + | 0.153003i | ||||
\(424\) | −6.93207 | − | 0.795380i | −0.336651 | − | 0.0386271i | ||||
\(425\) | 3.05317 | − | 1.72420i | 0.148100 | − | 0.0836362i | ||||
\(426\) | 0.674316 | + | 1.27797i | 0.0326707 | + | 0.0619179i | ||||
\(427\) | 7.81025 | − | 6.38641i | 0.377964 | − | 0.309060i | ||||
\(428\) | −12.4947 | + | 27.3595i | −0.603952 | + | 1.32247i | ||||
\(429\) | −41.0713 | + | 11.9306i | −1.98294 | + | 0.576014i | ||||
\(430\) | −0.980994 | − | 2.14808i | −0.0473077 | − | 0.103590i | ||||
\(431\) | 14.7857 | + | 7.26964i | 0.712202 | + | 0.350166i | 0.761097 | − | 0.648638i | \(-0.224661\pi\) |
−0.0488952 | + | 0.998804i | \(0.515570\pi\) | |||||||
\(432\) | −31.3611 | − | 32.2698i | −1.50886 | − | 1.55258i | ||||
\(433\) | 3.95569 | + | 0.226195i | 0.190099 | + | 0.0108702i | 0.151879 | − | 0.988399i | \(-0.451468\pi\) |
0.0382198 | + | 0.999269i | \(0.487831\pi\) | |||||||
\(434\) | −0.675570 | + | 2.57014i | −0.0324284 | + | 0.123370i | ||||
\(435\) | 0.000962513 | 0.0336923i | 4.61490e−5 | 0.00161542i | ||||||
\(436\) | −13.7750 | + | 26.1066i | −0.659704 | + | 1.25028i | ||||
\(437\) | −0.318657 | − | 1.57263i | −0.0152434 | − | 0.0752292i | ||||
\(438\) | 1.35998 | + | 5.17392i | 0.0649826 | + | 0.247219i | ||||
\(439\) | 19.8325 | − | 5.82336i | 0.946555 | − | 0.277934i | 0.228203 | − | 0.973614i | \(-0.426715\pi\) |
0.718352 | + | 0.695680i | \(0.244897\pi\) | |||||||
\(440\) | 3.31219 | − | 0.179779i | 0.157903 | − | 0.00857061i | ||||
\(441\) | 36.9620 | + | 10.8530i | 1.76009 | + | 0.516810i | ||||
\(442\) | −0.104052 | + | 3.64229i | −0.00494924 | + | 0.173246i | ||||
\(443\) | 2.34487 | + | 1.32421i | 0.111408 | + | 0.0629150i | 0.546430 | − | 0.837505i | \(-0.315987\pi\) |
−0.435022 | + | 0.900420i | \(0.643259\pi\) | |||||||
\(444\) | −41.4382 | − | 30.1067i | −1.96657 | − | 1.42880i | ||||
\(445\) | 2.67825 | + | 1.13184i | 0.126961 | + | 0.0536542i | ||||
\(446\) | −6.58878 | + | 1.14023i | −0.311988 | + | 0.0539916i | ||||
\(447\) | 3.01896 | + | 35.1491i | 0.142792 | + | 1.66250i | ||||
\(448\) | 0.669710 | − | 7.79730i | 0.0316408 | − | 0.368388i | ||||
\(449\) | −27.8223 | − | 4.81483i | −1.31301 | − | 0.227226i | −0.529346 | − | 0.848406i | \(-0.677563\pi\) |
−0.783668 | + | 0.621180i | \(0.786654\pi\) | |||||||
\(450\) | 1.48486 | + | 0.954262i | 0.0699970 | + | 0.0449844i | ||||
\(451\) | −37.6362 | + | 6.40103i | −1.77222 | + | 0.301413i | ||||
\(452\) | −15.4371 | + | 9.92084i | −0.726102 | + | 0.466637i | ||||
\(453\) | −17.6092 | + | 7.44169i | −0.827350 | + | 0.349641i | ||||
\(454\) | −0.0428533 | − | 0.00996511i | −0.00201121 | − | 0.000467686i | ||||
\(455\) | −1.78856 | − | 4.59388i | −0.0838489 | − | 0.215364i | ||||
\(456\) | 1.78984 | − | 2.96811i | 0.0838169 | − | 0.138995i | ||||
\(457\) | 9.83794 | + | 30.2781i | 0.460199 | + | 1.41635i | 0.864921 | + | 0.501908i | \(0.167368\pi\) |
−0.404721 | + | 0.914440i | \(0.632632\pi\) | |||||||
\(458\) | −3.02512 | − | 3.92305i | −0.141355 | − | 0.183312i | ||||
\(459\) | −15.8280 | + | 40.6539i | −0.738787 | + | 1.89756i | ||||
\(460\) | −1.59513 | + | 2.33280i | −0.0743734 | + | 0.108768i | ||||
\(461\) | −1.49903 | − | 10.4260i | −0.0698169 | − | 0.485587i | −0.994491 | − | 0.104827i | \(-0.966571\pi\) |
0.924674 | − | 0.380761i | \(-0.124338\pi\) | |||||||
\(462\) | 1.94953 | + | 2.54339i | 0.0907005 | + | 0.118329i | ||||
\(463\) | −2.30285 | + | 16.0167i | −0.107023 | + | 0.744359i | 0.863674 | + | 0.504051i | \(0.168158\pi\) |
−0.970697 | + | 0.240308i | \(0.922751\pi\) | |||||||
\(464\) | −0.0284788 | − | 0.0261376i | −0.00132210 | − | 0.00121341i | ||||
\(465\) | −27.3083 | + | 1.56154i | −1.26639 | + | 0.0724148i | ||||
\(466\) | 0.393031 | − | 1.93968i | 0.0182068 | − | 0.0898542i | ||||
\(467\) | 17.0953 | + | 13.9787i | 0.791074 | + | 0.646858i | 0.939686 | − | 0.342038i | \(-0.111117\pi\) |
−0.148612 | + | 0.988896i | \(0.547481\pi\) | |||||||
\(468\) | 49.3259 | − | 24.2519i | 2.28009 | − | 1.12105i | ||||
\(469\) | −1.93050 | − | 0.688802i | −0.0891423 | − | 0.0318059i | ||||
\(470\) | 0.616831 | − | 0.799921i | 0.0284523 | − | 0.0368976i | ||||
\(471\) | −0.0658454 | − | 0.109192i | −0.00303400 | − | 0.00503132i | ||||
\(472\) | −8.23346 | + | 9.50192i | −0.378976 | + | 0.437361i | ||||
\(473\) | 28.4224 | − | 11.9145i | 1.30686 | − | 0.547830i | ||||
\(474\) | 4.54543 | + | 5.24570i | 0.208778 | + | 0.240943i | ||||
\(475\) | 0.339582 | − | 1.04513i | 0.0155811 | − | 0.0479537i | ||||
\(476\) | −7.70575 | + | 2.74941i | −0.353192 | + | 0.126019i | ||||
\(477\) | 33.7699 | − | 34.7484i | 1.54622 | − | 1.59102i | ||||
\(478\) | −1.80301 | + | 1.65479i | −0.0824678 | + | 0.0756883i | ||||
\(479\) | −12.2925 | − | 17.9772i | −0.561657 | − | 0.821398i | 0.435223 | − | 0.900323i | \(-0.356669\pi\) |
−0.996881 | + | 0.0789249i | \(0.974851\pi\) | |||||||
\(480\) | −8.96739 | + | 2.08528i | −0.409303 | + | 0.0951794i | ||||
\(481\) | 27.7615 | − | 20.1699i | 1.26581 | − | 0.919668i | ||||
\(482\) | −0.681861 | + | 0.0782363i | −0.0310579 | + | 0.00356356i | ||||
\(483\) | −5.55154 | −0.252604 | ||||||||
\(484\) | 0.484709 | + | 21.2840i | 0.0220322 | + | 0.967456i | ||||
\(485\) | −3.44179 | −0.156283 | ||||||||
\(486\) | −5.22758 | + | 0.599809i | −0.237128 | + | 0.0272079i | ||||
\(487\) | 2.37440 | − | 1.72510i | 0.107594 | − | 0.0781717i | −0.532687 | − | 0.846312i | \(-0.678818\pi\) |
0.640281 | + | 0.768140i | \(0.278818\pi\) | |||||||
\(488\) | 8.15201 | − | 1.89567i | 0.369024 | − | 0.0858128i | ||||
\(489\) | 39.0733 | + | 57.1428i | 1.76695 | + | 2.58409i | ||||
\(490\) | 1.03849 | − | 0.953122i | 0.0469144 | − | 0.0430576i | ||||
\(491\) | 20.6379 | − | 21.2359i | 0.931375 | − | 0.958362i | −0.0678516 | − | 0.997695i | \(-0.521614\pi\) |
0.999226 | + | 0.0393336i | \(0.0125235\pi\) | |||||||
\(492\) | 66.1704 | − | 23.6096i | 2.98319 | − | 1.06440i | ||||
\(493\) | −0.0115809 | + | 0.0356422i | −0.000521576 | + | 0.00160525i | ||||
\(494\) | 0.747831 | + | 0.863043i | 0.0336465 | + | 0.0388301i | ||||
\(495\) | −13.0569 | + | 18.9770i | −0.586866 | + | 0.852953i | ||||
\(496\) | 20.5424 | − | 23.7071i | 0.922379 | − | 1.06448i | ||||
\(497\) | −1.12245 | − | 1.86137i | −0.0503486 | − | 0.0834938i | ||||
\(498\) | 3.23475 | − | 4.19490i | 0.144953 | − | 0.187978i | ||||
\(499\) | −7.34612 | − | 2.62109i | −0.328858 | − | 0.117336i | 0.166460 | − | 0.986048i | \(-0.446766\pi\) |
−0.495317 | + | 0.868712i | \(0.664948\pi\) | |||||||
\(500\) | −1.73684 | + | 0.853946i | −0.0776738 | + | 0.0381896i | ||||
\(501\) | 57.6115 | + | 47.1087i | 2.57389 | + | 2.10466i | ||||
\(502\) | 0.991031 | − | 4.89093i | 0.0442319 | − | 0.218293i | ||||
\(503\) | 2.14262 | − | 0.122520i | 0.0955349 | − | 0.00546288i | −0.00925599 | − | 0.999957i | \(-0.502946\pi\) |
0.104791 | + | 0.994494i | \(0.466583\pi\) | |||||||
\(504\) | −6.16974 | − | 5.66253i | −0.274822 | − | 0.252229i | ||||
\(505\) | 2.00774 | − | 13.9641i | 0.0893432 | − | 0.621396i | ||||
\(506\) | 0.993590 | + | 0.726290i | 0.0441705 | + | 0.0322875i | ||||
\(507\) | 1.66977 | + | 11.6135i | 0.0741572 | + | 0.515775i | ||||
\(508\) | 1.61363 | − | 2.35986i | 0.0715932 | − | 0.104702i | ||||
\(509\) | −11.7894 | + | 30.2808i | −0.522555 | + | 1.34217i | 0.385262 | + | 0.922807i | \(0.374111\pi\) |
−0.907818 | + | 0.419365i | \(0.862253\pi\) | |||||||
\(510\) | 1.71604 | + | 2.22540i | 0.0759874 | + | 0.0985423i | ||||
\(511\) | −2.48677 | − | 7.65348i | −0.110008 | − | 0.338570i | ||||
\(512\) | 9.18812 | − | 15.2368i | 0.406061 | − | 0.673377i | ||||
\(513\) | 4.96054 | + | 12.7410i | 0.219013 | + | 0.562531i | ||||
\(514\) | −6.23925 | − | 1.45087i | −0.275201 | − | 0.0639953i | ||||
\(515\) | −5.07548 | + | 2.14491i | −0.223652 | + | 0.0945162i | ||||
\(516\) | −47.7119 | + | 30.6626i | −2.10040 | + | 1.34984i | ||||
\(517\) | 10.1811 | + | 8.37432i | 0.447763 | + | 0.368302i | ||||
\(518\) | −2.16300 | − | 1.39008i | −0.0950370 | − | 0.0610766i | ||||
\(519\) | 30.1897 | + | 5.22453i | 1.32518 | + | 0.229332i | ||||
\(520\) | 0.349969 | − | 4.07461i | 0.0153471 | − | 0.178684i | ||||
\(521\) | −3.07079 | − | 35.7525i | −0.134534 | − | 1.56635i | −0.683153 | − | 0.730275i | \(-0.739392\pi\) |
0.548620 | − | 0.836072i | \(-0.315154\pi\) | |||||||
\(522\) | −0.0185888 | + | 0.00321691i | −0.000813608 | + | 0.000140800i | ||||
\(523\) | −32.7003 | − | 13.8193i | −1.42988 | − | 0.604274i | −0.469495 | − | 0.882935i | \(-0.655564\pi\) |
−0.960390 | + | 0.278661i | \(0.910109\pi\) | |||||||
\(524\) | 20.5219 | + | 14.9100i | 0.896503 | + | 0.651348i | ||||
\(525\) | −3.31057 | − | 1.86957i | −0.144485 | − | 0.0815945i | ||||
\(526\) | −0.164635 | + | 5.76297i | −0.00717842 | + | 0.251278i | ||||
\(527\) | −29.1807 | − | 8.56821i | −1.27113 | − | 0.373237i | ||||
\(528\) | −7.40490 | − | 37.0961i | −0.322257 | − | 1.61440i | ||||
\(529\) | 20.0226 | − | 5.87917i | 0.870549 | − | 0.255616i | ||||
\(530\) | −0.450733 | − | 1.71477i | −0.0195786 | − | 0.0744847i | ||||
\(531\) | −17.3391 | − | 85.5716i | −0.752451 | − | 3.71349i | ||||
\(532\) | −1.19659 | + | 2.26780i | −0.0518789 | + | 0.0983214i | ||||
\(533\) | 1.34408 | + | 47.0488i | 0.0582184 | + | 2.03791i | ||||
\(534\) | −0.592402 | + | 2.25373i | −0.0256357 | + | 0.0975284i | ||||
\(535\) | −15.5153 | − | 0.887195i | −0.670783 | − | 0.0383568i | ||||
\(536\) | −1.18506 | − | 1.21940i | −0.0511868 | − | 0.0526700i | ||||
\(537\) | 12.0087 | + | 5.90429i | 0.518214 | + | 0.254789i | ||||
\(538\) | −0.430759 | − | 0.943230i | −0.0185713 | − | 0.0406655i | ||||
\(539\) | 12.0064 | + | 13.9374i | 0.517151 | + | 0.600327i | ||||
\(540\) | 10.0034 | − | 21.9043i | 0.430476 | − | 0.942611i | ||||
\(541\) | −23.3942 | + | 19.1293i | −1.00580 | + | 0.822435i | −0.984151 | − | 0.177331i | \(-0.943254\pi\) |
−0.0216440 | + | 0.999766i | \(0.506890\pi\) | |||||||
\(542\) | −1.88970 | − | 3.58138i | −0.0811697 | − | 0.153834i | ||||
\(543\) | −43.5994 | + | 24.6217i | −1.87103 | + | 1.05662i | ||||
\(544\) | −10.1698 | − | 1.16687i | −0.436026 | − | 0.0500293i | ||||
\(545\) | −15.1520 | − | 1.73853i | −0.649042 | − | 0.0744706i | ||||
\(546\) | 3.44029 | − | 1.94282i | 0.147231 | − | 0.0831450i | ||||
\(547\) | −6.98266 | − | 13.2336i | −0.298557 | − | 0.565829i | 0.688684 | − | 0.725062i | \(-0.258189\pi\) |
−0.987241 | + | 0.159233i | \(0.949098\pi\) | |||||||
\(548\) | 14.1882 | − | 11.6017i | 0.606092 | − | 0.495599i | ||||
\(549\) | −24.1444 | + | 52.8688i | −1.03046 | + | 2.25638i | ||||
\(550\) | 0.347922 | + | 0.767718i | 0.0148355 | + | 0.0327356i | ||||
\(551\) | 0.00487915 | + | 0.0106839i | 0.000207859 | + | 0.000455147i | ||||
\(552\) | −4.13290 | − | 2.03201i | −0.175908 | − | 0.0864880i | ||||
\(553\) | −7.27688 | − | 7.48774i | −0.309445 | − | 0.318411i | ||||
\(554\) | 3.70459 | + | 0.211836i | 0.157393 | + | 0.00900006i | ||||
\(555\) | 6.72786 | − | 25.5954i | 0.285582 | − | 1.08646i | ||||
\(556\) | 0.327101 | + | 11.4500i | 0.0138722 | + | 0.485589i | ||||
\(557\) | 2.15461 | − | 4.08344i | 0.0912938 | − | 0.173021i | −0.834545 | − | 0.550940i | \(-0.814269\pi\) |
0.925839 | + | 0.377919i | \(0.123360\pi\) | |||||||
\(558\) | −3.04026 | − | 15.0043i | −0.128705 | − | 0.635182i | ||||
\(559\) | −9.65935 | − | 36.7480i | −0.408547 | − | 1.55427i | ||||
\(560\) | 4.18361 | − | 1.22842i | 0.176790 | − | 0.0519102i | ||||
\(561\) | −29.7326 | + | 21.4708i | −1.25531 | + | 0.906497i | ||||
\(562\) | −0.643158 | − | 0.188848i | −0.0271300 | − | 0.00796609i | ||||
\(563\) | −0.927587 | + | 32.4698i | −0.0390931 | + | 1.36844i | 0.709171 | + | 0.705037i | \(0.249069\pi\) |
−0.748264 | + | 0.663401i | \(0.769112\pi\) | |||||||
\(564\) | −21.1243 | − | 11.9294i | −0.889493 | − | 0.502320i | ||||
\(565\) | −7.67050 | − | 5.57294i | −0.322700 | − | 0.234455i | ||||
\(566\) | −3.25251 | − | 1.37452i | −0.136713 | − | 0.0577755i | ||||
\(567\) | 21.8597 | − | 3.78297i | 0.918022 | − | 0.158870i | ||||
\(568\) | −0.154307 | − | 1.79656i | −0.00647456 | − | 0.0753819i | ||||
\(569\) | −2.22758 | + | 25.9352i | −0.0933850 | + | 1.08726i | 0.788258 | + | 0.615345i | \(0.210983\pi\) |
−0.881643 | + | 0.471917i | \(0.843562\pi\) | |||||||
\(570\) | 0.867824 | + | 0.150183i | 0.0363491 | + | 0.00629047i | ||||
\(571\) | 29.1064 | + | 18.7056i | 1.21807 | + | 0.782803i | 0.981990 | − | 0.188931i | \(-0.0605023\pi\) |
0.236076 | + | 0.971735i | \(0.424139\pi\) | |||||||
\(572\) | 26.0680 | + | 3.06752i | 1.08996 | + | 0.128260i | ||||
\(573\) | 10.7097 | − | 6.88269i | 0.447403 | − | 0.287529i | ||||
\(574\) | 3.24855 | − | 1.37285i | 0.135592 | − | 0.0573016i | ||||
\(575\) | −1.42222 | − | 0.330723i | −0.0593106 | − | 0.0137921i | ||||
\(576\) | 16.3571 | + | 42.0128i | 0.681545 | + | 1.75053i | ||||
\(577\) | 1.78484 | − | 2.95983i | 0.0743039 | − | 0.123219i | −0.816978 | − | 0.576669i | \(-0.804352\pi\) |
0.891282 | + | 0.453450i | \(0.149807\pi\) | |||||||
\(578\) | −0.369518 | − | 1.13726i | −0.0153699 | − | 0.0473037i | ||||
\(579\) | −6.03782 | − | 7.82998i | −0.250923 | − | 0.325403i | ||||
\(580\) | 0.00750499 | − | 0.0192764i | 0.000311628 | − | 0.000800409i | ||||
\(581\) | −4.49776 | + | 6.57776i | −0.186598 | + | 0.272891i | ||||
\(582\) | −0.392564 | − | 2.73034i | −0.0162723 | − | 0.113176i | ||||
\(583\) | 22.5526 | − | 5.17559i | 0.934032 | − | 0.214351i | ||||
\(584\) | 0.950077 | − | 6.60793i | 0.0393145 | − | 0.273438i | ||||
\(585\) | 20.9233 | + | 19.2033i | 0.865073 | + | 0.793957i | ||||
\(586\) | 4.46905 | − | 0.255549i | 0.184615 | − | 0.0105567i | ||||
\(587\) | 3.03387 | − | 14.9727i | 0.125221 | − | 0.617990i | −0.867488 | − | 0.497458i | \(-0.834267\pi\) |
0.992709 | − | 0.120533i | \(-0.0384603\pi\) | |||||||
\(588\) | −26.2075 | − | 21.4297i | −1.08078 | − | 0.883748i | ||||
\(589\) | −8.55346 | + | 4.20545i | −0.352439 | + | 0.173283i | ||||
\(590\) | −3.00900 | − | 1.07361i | −0.123879 | − | 0.0441998i | ||||
\(591\) | 39.5582 | − | 51.3000i | 1.62721 | − | 2.11020i | ||||
\(592\) | 15.6730 | + | 25.9908i | 0.644157 | + | 1.06821i | ||||
\(593\) | 12.3043 | − | 14.1999i | 0.505277 | − | 0.583120i | −0.444606 | − | 0.895726i | \(-0.646656\pi\) |
0.949883 | + | 0.312606i | \(0.101202\pi\) | |||||||
\(594\) | −9.39763 | − | 4.65434i | −0.385590 | − | 0.190970i | ||||
\(595\) | −2.76828 | − | 3.19477i | −0.113489 | − | 0.130973i | ||||
\(596\) | 6.69049 | − | 20.5912i | 0.274053 | − | 0.843448i | ||||
\(597\) | 28.4064 | − | 10.1354i | 1.16260 | − | 0.414813i | ||||
\(598\) | 1.05752 | − | 1.08816i | 0.0432451 | − | 0.0444982i | ||||
\(599\) | −18.8277 | + | 17.2799i | −0.769280 | + | 0.706038i | −0.961346 | − | 0.275344i | \(-0.911208\pi\) |
0.192066 | + | 0.981382i | \(0.438481\pi\) | |||||||
\(600\) | −1.78028 | − | 2.60357i | −0.0726795 | − | 0.106290i | ||||
\(601\) | −9.72148 | + | 2.26063i | −0.396548 | + | 0.0922132i | −0.420028 | − | 0.907511i | \(-0.637980\pi\) |
0.0234805 | + | 0.999724i | \(0.492525\pi\) | |||||||
\(602\) | −2.30327 | + | 1.67342i | −0.0938742 | + | 0.0682036i | ||||
\(603\) | 11.7311 | − | 1.34602i | 0.477729 | − | 0.0548143i | ||||
\(604\) | 11.7324 | 0.477383 | ||||||||
\(605\) | −10.1570 | + | 4.22323i | −0.412940 | + | 0.171699i | ||||
\(606\) | 11.3066 | 0.459301 | ||||||||
\(607\) | −19.5528 | + | 2.24348i | −0.793625 | + | 0.0910600i | −0.501316 | − | 0.865264i | \(-0.667151\pi\) |
−0.292309 | + | 0.956324i | \(0.594423\pi\) | |||||||
\(608\) | −2.59545 | + | 1.88571i | −0.105259 | + | 0.0764755i | ||||
\(609\) | 0.0395799 | − | 0.00920392i | 0.00160386 | − | 0.000372962i | ||||
\(610\) | 1.20041 | + | 1.75555i | 0.0486032 | + | 0.0710799i | ||||
\(611\) | 11.9742 | − | 10.9898i | 0.484425 | − | 0.444601i | ||||
\(612\) | 32.8487 | − | 33.8006i | 1.32783 | − | 1.36631i | ||||
\(613\) | 37.9966 | − | 13.5572i | 1.53467 | − | 0.547569i | 0.572472 | − | 0.819924i | \(-0.305985\pi\) |
0.962197 | + | 0.272356i | \(0.0878028\pi\) | |||||||
\(614\) | −2.47670 | + | 7.62251i | −0.0999516 | + | 0.307619i | ||||
\(615\) | 23.7717 | + | 27.4340i | 0.958566 | + | 1.10624i | ||||
\(616\) | −1.00543 | − | 3.87059i | −0.0405099 | − | 0.155951i | ||||
\(617\) | −0.593429 | + | 0.684854i | −0.0238906 | + | 0.0275712i | −0.767569 | − | 0.640966i | \(-0.778534\pi\) |
0.743679 | + | 0.668537i | \(0.233079\pi\) | |||||||
\(618\) | −2.28045 | − | 3.78169i | −0.0917330 | − | 0.152122i | ||||
\(619\) | −9.86827 | + | 12.7974i | −0.396639 | + | 0.514371i | −0.947296 | − | 0.320361i | \(-0.896196\pi\) |
0.550656 | + | 0.834732i | \(0.314378\pi\) | |||||||
\(620\) | 15.8106 | + | 5.64119i | 0.634967 | + | 0.226556i | ||||
\(621\) | 16.3034 | − | 8.01582i | 0.654231 | − | 0.321664i | ||||
\(622\) | −2.72451 | − | 2.22782i | −0.109243 | − | 0.0893273i | ||||
\(623\) | 0.696135 | − | 3.43556i | 0.0278901 | − | 0.137643i | ||||
\(624\) | −46.5620 | + | 2.66251i | −1.86397 | + | 0.106586i | ||||
\(625\) | −0.736741 | − | 0.676175i | −0.0294696 | − | 0.0270470i | ||||
\(626\) | 0.547544 | − | 3.80825i | 0.0218843 | − | 0.152208i | ||||
\(627\) | −2.31519 | + | 11.2583i | −0.0924597 | + | 0.449615i | ||||
\(628\) | 0.0111367 | + | 0.0774575i | 0.000444403 | + | 0.00309089i | ||||
\(629\) | 16.6089 | − | 24.2897i | 0.662239 | − | 0.968494i | ||||
\(630\) | 0.772036 | − | 1.98296i | 0.0307587 | − | 0.0790030i | ||||
\(631\) | −6.89760 | − | 8.94497i | −0.274589 | − | 0.356094i | 0.634333 | − | 0.773060i | \(-0.281275\pi\) |
−0.908922 | + | 0.416967i | \(0.863093\pi\) | |||||||
\(632\) | −2.67664 | − | 8.23784i | −0.106471 | − | 0.327684i | ||||
\(633\) | −42.3323 | + | 70.2003i | −1.68256 | + | 2.79021i | ||||
\(634\) | −1.39952 | − | 3.59463i | −0.0555819 | − | 0.142761i | ||||
\(635\) | 1.43871 | + | 0.334558i | 0.0570935 | + | 0.0132765i | ||||
\(636\) | −39.2234 | + | 16.5760i | −1.55531 | + | 0.657280i | ||||
\(637\) | 19.0798 | − | 12.2618i | 0.755968 | − | 0.485831i | ||||
\(638\) | −0.00828796 | − | 0.00353084i | −0.000328123 | − | 0.000139787i | ||||
\(639\) | 10.5341 | + | 6.76986i | 0.416723 | + | 0.267812i | ||||
\(640\) | 7.37881 | + | 1.27695i | 0.291673 | + | 0.0504760i | ||||
\(641\) | −1.46135 | + | 17.0142i | −0.0577200 | + | 0.672022i | 0.909103 | + | 0.416572i | \(0.136769\pi\) |
−0.966822 | + | 0.255449i | \(0.917777\pi\) | |||||||
\(642\) | −1.06584 | − | 12.4093i | −0.0420653 | − | 0.489757i | ||||
\(643\) | −21.0044 | + | 3.63496i | −0.828334 | + | 0.143349i | −0.568895 | − | 0.822410i | \(-0.692629\pi\) |
−0.259440 | + | 0.965759i | \(0.583538\pi\) | |||||||
\(644\) | 3.13831 | + | 1.32626i | 0.123667 | + | 0.0522621i | ||||
\(645\) | −23.7074 | − | 17.2244i | −0.933477 | − | 0.678211i | ||||
\(646\) | 0.852670 | + | 0.481525i | 0.0335479 | + | 0.0189454i | ||||
\(647\) | 0.806986 | − | 28.2482i | 0.0317259 | − | 1.11055i | −0.815313 | − | 0.579020i | \(-0.803435\pi\) |
0.847039 | − | 0.531531i | \(-0.178383\pi\) | |||||||
\(648\) | 17.6583 | + | 5.18496i | 0.693685 | + | 0.203684i | ||||
\(649\) | 15.2393 | − | 38.8090i | 0.598194 | − | 1.52339i | ||||
\(650\) | 0.997088 | − | 0.292772i | 0.0391090 | − | 0.0114834i | ||||
\(651\) | 8.38324 | + | 31.8932i | 0.328565 | + | 1.24999i | ||||
\(652\) | −8.43690 | − | 41.6377i | −0.330414 | − | 1.63066i | ||||
\(653\) | −16.1983 | + | 30.6992i | −0.633889 | + | 1.20135i | 0.332215 | + | 0.943204i | \(0.392204\pi\) |
−0.966105 | + | 0.258150i | \(0.916887\pi\) | |||||||
\(654\) | −0.349049 | − | 12.2183i | −0.0136489 | − | 0.477773i | ||||
\(655\) | −3.33191 | + | 12.6759i | −0.130188 | + | 0.495288i | ||||
\(656\) | −41.5624 | − | 2.37662i | −1.62274 | − | 0.0927915i | ||||
\(657\) | 32.3099 | + | 33.2461i | 1.26053 | + | 1.29705i | ||||
\(658\) | −1.09286 | − | 0.537321i | −0.0426040 | − | 0.0209470i | ||||
\(659\) | −6.87820 | − | 15.0612i | −0.267937 | − | 0.586700i | 0.727064 | − | 0.686570i | \(-0.240884\pi\) |
−0.995000 | + | 0.0998703i | \(0.968157\pi\) | |||||||
\(660\) | 17.0613 | − | 10.8950i | 0.664110 | − | 0.424086i | ||||
\(661\) | −3.10161 | + | 6.79157i | −0.120639 | + | 0.264162i | −0.960311 | − | 0.278932i | \(-0.910020\pi\) |
0.839672 | + | 0.543093i | \(0.182747\pi\) | |||||||
\(662\) | 4.00066 | − | 3.27133i | 0.155490 | − | 0.127144i | ||||
\(663\) | 21.1009 | + | 39.9906i | 0.819490 | + | 1.55311i | ||||
\(664\) | −5.75603 | + | 3.25058i | −0.223377 | + | 0.126147i | ||||
\(665\) | −1.31621 | − | 0.151021i | −0.0510404 | − | 0.00585634i | ||||
\(666\) | 14.7157 | + | 1.68846i | 0.570220 | + | 0.0654266i | ||||
\(667\) | 0.0135892 | − | 0.00767416i | 0.000526175 | − | 0.000297145i | ||||
\(668\) | −21.3138 | − | 40.3942i | −0.824657 | − | 1.56290i | ||||
\(669\) | −64.2354 | + | 52.5250i | −2.48349 | + | 2.03074i | ||||
\(670\) | 0.179489 | − | 0.393027i | 0.00693428 | − | 0.0151839i | ||||
\(671\) | −23.3922 | + | 14.9377i | −0.903046 | + | 0.576665i | ||||
\(672\) | 4.61091 | + | 10.0965i | 0.177870 | + | 0.389480i | ||||
\(673\) | 20.7723 | + | 10.2130i | 0.800712 | + | 0.393684i | 0.795235 | − | 0.606301i | \(-0.207347\pi\) |
0.00547714 | + | 0.999985i | \(0.498257\pi\) | |||||||
\(674\) | 0.506037 | + | 0.520700i | 0.0194918 | + | 0.0200566i | ||||
\(675\) | 12.4217 | + | 0.710298i | 0.478111 | + | 0.0273394i | ||||
\(676\) | 1.83054 | − | 6.96410i | 0.0704054 | − | 0.267850i | ||||
\(677\) | −0.458358 | − | 16.0446i | −0.0176161 | − | 0.616645i | −0.959661 | − | 0.281159i | \(-0.909281\pi\) |
0.942045 | − | 0.335486i | \(-0.108901\pi\) | |||||||
\(678\) | 3.54609 | − | 6.72059i | 0.136187 | − | 0.258103i | ||||
\(679\) | 0.824033 | + | 4.06676i | 0.0316235 | + | 0.156068i | ||||
\(680\) | −0.891506 | − | 3.39164i | −0.0341877 | − | 0.130063i | ||||
\(681\) | −0.523846 | + | 0.153815i | −0.0200738 | + | 0.00589420i | ||||
\(682\) | 2.67208 | − | 6.80485i | 0.102319 | − | 0.260571i | ||||
\(683\) | 34.3536 | + | 10.0871i | 1.31450 | + | 0.385973i | 0.862506 | − | 0.506046i | \(-0.168893\pi\) |
0.451997 | + | 0.892019i | \(0.350712\pi\) | |||||||
\(684\) | 0.421819 | − | 14.7656i | 0.0161287 | − | 0.564577i | ||||
\(685\) | 8.24566 | + | 4.65654i | 0.315051 | + | 0.177917i | ||||
\(686\) | −3.10994 | − | 2.25950i | −0.118738 | − | 0.0862681i | ||||
\(687\) | −56.6255 | − | 23.9301i | −2.16040 | − | 0.912991i | ||||
\(688\) | 33.1144 | − | 5.73067i | 1.26247 | − | 0.218480i | ||||
\(689\) | −2.44127 | − | 28.4232i | −0.0930050 | − | 1.08284i | ||||
\(690\) | 0.100144 | − | 1.16596i | 0.00381242 | − | 0.0443872i | ||||
\(691\) | 50.3879 | + | 8.71996i | 1.91684 | + | 0.331723i | 0.998018 | − | 0.0629364i | \(-0.0200465\pi\) |
0.918827 | + | 0.394659i | \(0.129137\pi\) | |||||||
\(692\) | −15.8183 | − | 10.1658i | −0.601320 | − | 0.386445i | ||||
\(693\) | 25.5490 | + | 10.8844i | 0.970528 | + | 0.413464i | ||||
\(694\) | −2.44591 | + | 1.57189i | −0.0928456 | + | 0.0596682i | ||||
\(695\) | −5.45164 | + | 2.30388i | −0.206793 | + | 0.0873913i | ||||
\(696\) | 0.0328345 | + | 0.00763534i | 0.00124459 | + | 0.000289417i | ||||
\(697\) | 14.6433 | + | 37.6109i | 0.554653 | + | 1.42461i | ||||
\(698\) | −3.61778 | + | 5.99941i | −0.136935 | + | 0.227081i | ||||
\(699\) | −7.58914 | − | 23.3570i | −0.287048 | − | 0.883441i | ||||
\(700\) | 1.42484 | + | 1.84777i | 0.0538540 | + | 0.0698391i | ||||
\(701\) | 9.25359 | − | 23.7677i | 0.349503 | − | 0.897692i | −0.641893 | − | 0.766795i | \(-0.721851\pi\) |
0.991396 | − | 0.130897i | \(-0.0417858\pi\) | |||||||
\(702\) | −7.29797 | + | 10.6729i | −0.275444 | + | 0.402824i | ||||
\(703\) | −1.31242 | − | 9.12810i | −0.0494989 | − | 0.344273i | ||||
\(704\) | −4.33663 | + | 21.0882i | −0.163443 | + | 0.794793i | ||||
\(705\) | 1.78389 | − | 12.4072i | 0.0671850 | − | 0.467282i | ||||
\(706\) | 3.66259 | + | 3.36149i | 0.137843 | + | 0.126512i | ||||
\(707\) | −16.9805 | + | 0.970980i | −0.638617 | + | 0.0365175i | ||||
\(708\) | −15.2376 | + | 75.2006i | −0.572665 | + | 2.82621i | ||||
\(709\) | 15.5155 | + | 12.6870i | 0.582697 | + | 0.476469i | 0.877820 | − | 0.478990i | \(-0.158997\pi\) |
−0.295123 | + | 0.955459i | \(0.595361\pi\) | |||||||
\(710\) | 0.411180 | − | 0.202164i | 0.0154313 | − | 0.00758707i | ||||
\(711\) | 56.6526 | + | 20.2136i | 2.12464 | + | 0.758069i | ||||
\(712\) | 1.77575 | − | 2.30283i | 0.0665490 | − | 0.0863023i | ||||
\(713\) | 6.54003 | + | 10.8454i | 0.244926 | + | 0.406164i | ||||
\(714\) | 2.21864 | − | 2.56045i | 0.0830306 | − | 0.0958224i | ||||
\(715\) | 3.40969 | + | 13.1263i | 0.127515 | + | 0.490895i | ||||
\(716\) | −5.37805 | − | 6.20661i | −0.200987 | − | 0.231952i | ||||
\(717\) | −9.38442 | + | 28.8823i | −0.350468 | + | 1.07863i | ||||
\(718\) | 9.02489 | − | 3.22008i | 0.336806 | − | 0.120172i | ||||
\(719\) | 1.33769 | − | 1.37645i | 0.0498874 | − | 0.0513329i | −0.691729 | − | 0.722158i | \(-0.743151\pi\) |
0.741616 | + | 0.670825i | \(0.234060\pi\) | |||||||
\(720\) | −18.5061 | + | 16.9847i | −0.689680 | + | 0.632982i | ||||
\(721\) | 3.74957 | + | 5.48357i | 0.139641 | + | 0.204219i | ||||
\(722\) | −4.40419 | + | 1.02415i | −0.163907 | + | 0.0381149i | ||||
\(723\) | −6.89025 | + | 5.00606i | −0.256251 | + | 0.186177i | ||||
\(724\) | 30.5291 | − | 3.50289i | 1.13461 | − | 0.130184i | ||||
\(725\) | 0.0106881 | 0.000396945 | ||||||||
\(726\) | −4.50874 | − | 7.57577i | −0.167335 | − | 0.281163i | ||||
\(727\) | −44.4786 | −1.64962 | −0.824810 | − | 0.565411i | \(-0.808718\pi\) | ||||
−0.824810 | + | 0.565411i | \(0.808718\pi\) | |||||||
\(728\) | −4.89829 | + | 0.562027i | −0.181543 | + | 0.0208301i | ||||
\(729\) | −8.16400 | + | 5.93149i | −0.302370 | + | 0.219685i | ||||
\(730\) | 1.65227 | − | 0.384220i | 0.0611534 | − | 0.0142206i | ||||
\(731\) | −18.3906 | − | 26.8954i | −0.680202 | − | 0.994763i | ||||
\(732\) | 37.6305 | − | 34.5370i | 1.39086 | − | 1.27652i | ||||
\(733\) | −20.6874 | + | 21.2869i | −0.764108 | + | 0.786249i | −0.981830 | − | 0.189762i | \(-0.939228\pi\) |
0.217722 | + | 0.976011i | \(0.430137\pi\) | |||||||
\(734\) | −6.31790 | + | 2.25422i | −0.233198 | + | 0.0832048i | ||||
\(735\) | 5.40522 | − | 16.6355i | 0.199374 | − | 0.613611i | ||||
\(736\) | 2.79154 | + | 3.22161i | 0.102897 | + | 0.118750i | ||||
\(737\) | 5.05301 | + | 2.50259i | 0.186130 | + | 0.0921840i | ||||
\(738\) | −13.3048 | + | 15.3546i | −0.489758 | + | 0.565211i | ||||
\(739\) | −15.2897 | − | 25.3551i | −0.562440 | − | 0.932702i | −0.999447 | − | 0.0332439i | \(-0.989416\pi\) |
0.437007 | − | 0.899458i | \(-0.356038\pi\) | |||||||
\(740\) | −9.91803 | + | 12.8619i | −0.364594 | + | 0.472814i | ||||
\(741\) | 13.3467 | + | 4.76211i | 0.490305 | + | 0.174940i | ||||
\(742\) | −1.91823 | + | 0.943129i | −0.0704203 | + | 0.0346233i | ||||
\(743\) | −21.6332 | − | 17.6894i | −0.793647 | − | 0.648962i | 0.146699 | − | 0.989181i | \(-0.453135\pi\) |
−0.940346 | + | 0.340219i | \(0.889499\pi\) | |||||||
\(744\) | −5.43275 | + | 26.8117i | −0.199174 | + | 0.982963i | ||||
\(745\) | 11.1684 | − | 0.638634i | 0.409180 | − | 0.0233978i | ||||
\(746\) | −2.27231 | − | 2.08551i | −0.0831952 | − | 0.0763559i | ||||
\(747\) | 6.53303 | − | 45.4383i | 0.239031 | − | 1.66250i | ||||
\(748\) | 21.9374 | − | 5.03441i | 0.802110 | − | 0.184076i | ||||
\(749\) | 2.66637 | + | 18.5450i | 0.0974271 | + | 0.677620i | ||||
\(750\) | 0.452373 | − | 0.661575i | 0.0165183 | − | 0.0241573i | ||||
\(751\) | 13.4355 | − | 34.5089i | 0.490269 | − | 1.25925i | −0.441848 | − | 0.897090i | \(-0.645677\pi\) |
0.932117 | − | 0.362156i | \(-0.117959\pi\) | |||||||
\(752\) | 8.77821 | + | 11.3838i | 0.320108 | + | 0.415124i | ||||
\(753\) | −19.1361 | − | 58.8948i | −0.697357 | − | 2.14624i | ||||
\(754\) | −0.00573555 | + | 0.00951135i | −0.000208877 | + | 0.000346383i | ||||
\(755\) | 2.19932 | + | 5.64890i | 0.0800414 | + | 0.205585i | ||||
\(756\) | −28.2768 | − | 6.57549i | −1.02842 | − | 0.239148i | ||||
\(757\) | −6.24274 | + | 2.63821i | −0.226896 | + | 0.0958872i | −0.499755 | − | 0.866167i | \(-0.666576\pi\) |
0.272858 | + | 0.962054i | \(0.412031\pi\) | |||||||
\(758\) | −4.75408 | + | 3.05526i | −0.172676 | + | 0.110972i | ||||
\(759\) | 15.1678 | + | 1.78485i | 0.550555 | + | 0.0647858i | ||||
\(760\) | −0.924587 | − | 0.594196i | −0.0335383 | − | 0.0215537i | ||||
\(761\) | 22.1626 | + | 3.83540i | 0.803395 | + | 0.139033i | 0.557407 | − | 0.830240i | \(-0.311796\pi\) |
0.245989 | + | 0.969273i | \(0.420887\pi\) | |||||||
\(762\) | −0.101306 | + | 1.17948i | −0.00366991 | + | 0.0427280i | ||||
\(763\) | 1.57348 | + | 18.3197i | 0.0569637 | + | 0.663216i | ||||
\(764\) | −7.69851 | + | 1.33228i | −0.278522 | + | 0.0482002i | ||||
\(765\) | 22.4320 | + | 9.47986i | 0.811032 | + | 0.342745i | ||||
\(766\) | 1.77328 | + | 1.28837i | 0.0640713 | + | 0.0465505i | ||||
\(767\) | −44.7601 | − | 25.2772i | −1.61619 | − | 0.912707i | ||||
\(768\) | 0.997779 | − | 34.9268i | 0.0360043 | − | 1.26031i | ||||
\(769\) | 7.67741 | + | 2.25429i | 0.276854 | + | 0.0812918i | 0.417212 | − | 0.908809i | \(-0.363007\pi\) |
−0.140358 | + | 0.990101i | \(0.544825\pi\) | |||||||
\(770\) | 0.823824 | − | 0.594907i | 0.0296886 | − | 0.0214390i | ||||
\(771\) | −76.2695 | + | 22.3948i | −2.74678 | + | 0.806527i | ||||
\(772\) | 1.54263 | + | 5.86876i | 0.0555204 | + | 0.211221i | ||||
\(773\) | 5.04966 | + | 24.9211i | 0.181624 | + | 0.896348i | 0.962421 | + | 0.271563i | \(0.0875406\pi\) |
−0.780797 | + | 0.624785i | \(0.785187\pi\) | |||||||
\(774\) | 7.65391 | − | 14.5058i | 0.275114 | − | 0.521399i | ||||
\(775\) | 0.247681 | + | 8.66995i | 0.00889695 | + | 0.311434i | ||||
\(776\) | −0.875082 | + | 3.32916i | −0.0314136 | + | 0.119510i | ||||
\(777\) | −31.8539 | − | 1.82147i | −1.14275 | − | 0.0653450i | ||||
\(778\) | −0.218533 | − | 0.224866i | −0.00783480 | − | 0.00806182i | ||||
\(779\) | 11.3514 | + | 5.58111i | 0.406706 | + | 0.199964i | ||||
\(780\) | −10.3679 | − | 22.7025i | −0.371229 | − | 0.812879i | ||||
\(781\) | 2.46828 | + | 5.44645i | 0.0883219 | + | 0.194889i | ||||
\(782\) | 0.540519 | − | 1.18357i | 0.0193289 | − | 0.0423245i | ||||
\(783\) | −0.102946 | + | 0.0841785i | −0.00367899 | + | 0.00300830i | ||||
\(784\) | 9.36131 | + | 17.7417i | 0.334332 | + | 0.633630i | ||||
\(785\) | −0.0352066 | + | 0.0198821i | −0.00125658 | + | 0.000709622i | ||||
\(786\) | −10.4357 | − | 1.19739i | −0.372230 | − | 0.0427094i | ||||
\(787\) | 37.7718 | + | 4.33391i | 1.34642 | + | 0.154487i | 0.757040 | − | 0.653368i | \(-0.226645\pi\) |
0.589380 | + | 0.807856i | \(0.299372\pi\) | |||||||
\(788\) | −34.6180 | + | 19.5497i | −1.23322 | + | 0.696429i | ||||
\(789\) | 33.3866 | + | 63.2747i | 1.18860 | + | 2.25264i | ||||
\(790\) | 1.70387 | − | 1.39325i | 0.0606211 | − | 0.0495696i | ||||
\(791\) | −4.74843 | + | 10.3976i | −0.168835 | + | 0.369697i | ||||
\(792\) | 15.0362 | + | 17.4546i | 0.534290 | + | 0.620222i | ||||
\(793\) | 14.2151 | + | 31.1266i | 0.504792 | + | 1.10534i | ||||
\(794\) | 3.34306 | + | 1.64367i | 0.118641 | + | 0.0583317i | ||||
\(795\) | −15.3337 | − | 15.7780i | −0.543831 | − | 0.559589i | ||||
\(796\) | −18.4796 | − | 1.05670i | −0.654992 | − | 0.0374538i | ||||
\(797\) | −8.46090 | + | 32.1886i | −0.299701 | + | 1.14018i | 0.631412 | + | 0.775447i | \(0.282476\pi\) |
−0.931113 | + | 0.364732i | \(0.881161\pi\) | |||||||
\(798\) | −0.0303207 | − | 1.06136i | −0.00107334 | − | 0.0375719i | ||||
\(799\) | 6.50391 | − | 12.3263i | 0.230092 | − | 0.436072i | ||||
\(800\) | 0.579764 | + | 2.86125i | 0.0204977 | + | 0.101160i | ||||
\(801\) | 5.13371 | + | 19.5306i | 0.181391 | + | 0.690081i | ||||
\(802\) | 7.74843 | − | 2.27514i | 0.273606 | − | 0.0803381i | ||||
\(803\) | 4.33364 | + | 21.7101i | 0.152931 | + | 0.766134i | ||||
\(804\) | −9.95666 | − | 2.92354i | −0.351144 | − | 0.103105i | ||||
\(805\) | −0.0502693 | + | 1.75965i | −0.00177176 | + | 0.0620197i | ||||
\(806\) | −7.84833 | − | 4.43216i | −0.276446 | − | 0.156116i | ||||
\(807\) | −10.4100 | − | 7.56331i | −0.366450 | − | 0.266241i | ||||
\(808\) | −12.9967 | − | 5.49245i | −0.457222 | − | 0.193224i | ||||
\(809\) | −19.8233 | + | 3.43056i | −0.696951 | + | 0.120612i | −0.507978 | − | 0.861370i | \(-0.669607\pi\) |
−0.188973 | + | 0.981982i | \(0.560516\pi\) | |||||||
\(810\) | 0.400188 | + | 4.65931i | 0.0140612 | + | 0.163711i | ||||
\(811\) | −2.65768 | + | 30.9428i | −0.0933237 | + | 1.08655i | 0.788521 | + | 0.615008i | \(0.210847\pi\) |
−0.881845 | + | 0.471540i | \(0.843698\pi\) | |||||||
\(812\) | −0.0245735 | − | 0.00425262i | −0.000862363 | − | 0.000149238i | ||||
\(813\) | −42.2722 | − | 27.1667i | −1.48255 | − | 0.952777i | ||||
\(814\) | 5.46278 | + | 4.49335i | 0.191470 | + | 0.157492i | ||||
\(815\) | 18.4662 | − | 11.8675i | 0.646842 | − | 0.415700i | ||||
\(816\) | −36.8378 | + | 15.5678i | −1.28958 | + | 0.544982i | ||||
\(817\) | −9.94589 | − | 2.31282i | −0.347963 | − | 0.0809153i | ||||
\(818\) | 1.55071 | + | 3.98298i | 0.0542195 | + | 0.139262i | ||||
\(819\) | 17.6808 | − | 29.3203i | 0.617818 | − | 1.02454i | ||||
\(820\) | −6.88427 | − | 21.1876i | −0.240409 | − | 0.739903i | ||||
\(821\) | −4.37139 | − | 5.66892i | −0.152562 | − | 0.197847i | 0.709418 | − | 0.704788i | \(-0.248958\pi\) |
−0.861981 | + | 0.506941i | \(0.830776\pi\) | |||||||
\(822\) | −2.75351 | + | 7.07234i | −0.0960398 | + | 0.246676i | ||||
\(823\) | 10.6176 | − | 15.5278i | 0.370107 | − | 0.541264i | −0.594794 | − | 0.803878i | \(-0.702766\pi\) |
0.964901 | + | 0.262614i | \(0.0845846\pi\) | |||||||
\(824\) | 0.784273 | + | 5.45474i | 0.0273214 | + | 0.190025i | ||||
\(825\) | 8.44397 | + | 6.17234i | 0.293981 | + | 0.214893i | ||||
\(826\) | −0.548145 | + | 3.81243i | −0.0190724 | + | 0.132652i | ||||
\(827\) | −0.485560 | − | 0.445643i | −0.0168846 | − | 0.0154965i | 0.667688 | − | 0.744441i | \(-0.267284\pi\) |
−0.684573 | + | 0.728945i | \(0.740011\pi\) | |||||||
\(828\) | −19.5956 | + | 1.12052i | −0.680994 | + | 0.0389407i | ||||
\(829\) | −7.23544 | + | 35.7083i | −0.251297 | + | 1.24020i | 0.633323 | + | 0.773888i | \(0.281690\pi\) |
−0.884620 | + | 0.466312i | \(0.845582\pi\) | |||||||
\(830\) | −1.30035 | − | 1.06329i | −0.0451359 | − | 0.0369075i | ||||
\(831\) | 41.3215 | − | 20.3164i | 1.43343 | − | 0.704769i | ||||
\(832\) | 25.0001 | + | 8.92001i | 0.866721 | + | 0.309246i | ||||
\(833\) | 11.8760 | − | 15.4011i | 0.411481 | − | 0.533618i | ||||
\(834\) | −2.44946 | − | 4.06197i | −0.0848179 | − | 0.140655i | ||||
\(835\) | 15.4536 | − | 17.8344i | 0.534793 | − | 0.617184i | ||||
\(836\) | 3.99840 | − | 5.81129i | 0.138288 | − | 0.200988i | ||||
\(837\) | −70.6696 | − | 81.5571i | −2.44270 | − | 2.81902i | ||||
\(838\) | 1.06986 | − | 3.29268i | 0.0369576 | − | 0.113744i | ||||
\(839\) | −1.32210 | + | 0.471725i | −0.0456440 | + | 0.0162858i | −0.358773 | − | 0.933425i | \(-0.616805\pi\) |
0.313129 | + | 0.949711i | \(0.398623\pi\) | |||||||
\(840\) | −2.65011 | + | 2.72690i | −0.0914374 | + | 0.0940868i | ||||
\(841\) | 21.3654 | − | 19.6090i | 0.736738 | − | 0.676172i | ||||
\(842\) | 4.56120 | + | 6.67054i | 0.157189 | + | 0.229882i | ||||
\(843\) | −8.10181 | + | 1.88399i | −0.279041 | + | 0.0648882i | ||||
\(844\) | 40.7015 | − | 29.5714i | 1.40100 | − | 1.01789i | ||||
\(845\) | 3.69622 | − | 0.424102i | 0.127154 | − | 0.0145896i | ||||
\(846\) | 7.01563 | 0.241202 | ||||||||
\(847\) | 7.42189 | + | 10.9902i | 0.255019 | + | 0.377628i | ||||
\(848\) | 25.2320 | 0.866472 | ||||||||
\(849\) | −43.5314 | + | 4.99476i | −1.49399 | + | 0.171420i | ||||
\(850\) | 0.720916 | − | 0.523776i | 0.0247272 | − | 0.0179654i | ||||
\(851\) | −11.9351 | + | 2.77539i | −0.409131 | + | 0.0951393i | ||||
\(852\) | −6.21130 | − | 9.08374i | −0.212796 | − | 0.311204i | ||||
\(853\) | −32.6673 | + | 29.9818i | −1.11851 | + | 1.02656i | −0.119075 | + | 0.992885i | \(0.537993\pi\) |
−0.999433 | + | 0.0336721i | \(0.989280\pi\) | |||||||
\(854\) | 1.78692 | − | 1.83870i | 0.0611473 | − | 0.0629190i | ||||
\(855\) | 7.18842 | − | 2.56482i | 0.245839 | − | 0.0877151i | ||||
\(856\) | −4.80295 | + | 14.7820i | −0.164162 | + | 0.505237i | ||||
\(857\) | 29.5718 | + | 34.1277i | 1.01015 | + | 1.16578i | 0.986114 | + | 0.166070i | \(0.0531077\pi\) |
0.0240408 | + | 0.999711i | \(0.492347\pi\) | |||||||
\(858\) | −10.0241 | + | 4.20205i | −0.342216 | + | 0.143456i | ||||
\(859\) | −29.9690 | + | 34.5861i | −1.02253 | + | 1.18006i | −0.0390145 | + | 0.999239i | \(0.512422\pi\) |
−0.983515 | + | 0.180824i | \(0.942124\pi\) | |||||||
\(860\) | 9.28699 | + | 15.4007i | 0.316684 | + | 0.525161i | ||||
\(861\) | 26.7242 | − | 34.6565i | 0.910757 | − | 1.18109i | ||||
\(862\) | 3.94369 | + | 1.40711i | 0.134323 | + | 0.0479263i | ||||
\(863\) | 17.2469 | − | 8.47973i | 0.587091 | − | 0.288653i | −0.123403 | − | 0.992357i | \(-0.539381\pi\) |
0.710494 | + | 0.703703i | \(0.248472\pi\) | |||||||
\(864\) | −28.1192 | − | 22.9929i | −0.956634 | − | 0.782236i | ||||
\(865\) | 1.92937 | − | 9.52183i | 0.0656006 | − | 0.323752i | ||||
\(866\) | 1.00529 | − | 0.0574844i | 0.0341611 | − | 0.00195340i | ||||
\(867\) | −10.9322 | − | 10.0335i | −0.371278 | − | 0.340756i | ||||
\(868\) | 2.88018 | − | 20.0321i | 0.0977598 | − | 0.679935i | ||||
\(869\) | 17.4743 | + | 22.7973i | 0.592776 | + | 0.773346i | ||||
\(870\) | 0.00121906 | + | 0.00847877i | 4.13301e−5 | + | 0.000287457i | ||||
\(871\) | 3.92404 | − | 5.73872i | 0.132961 | − | 0.194449i | ||||
\(872\) | −5.53408 | + | 14.2142i | −0.187408 | + | 0.481353i | ||||
\(873\) | −14.5971 | − | 18.9298i | −0.494037 | − | 0.640678i | ||||
\(874\) | −0.126013 | − | 0.387828i | −0.00426245 | − | 0.0131185i | ||||
\(875\) | −0.622568 | + | 1.03241i | −0.0210466 | + | 0.0349019i | ||||
\(876\) | −14.7812 | − | 37.9652i | −0.499411 | − | 1.28273i | ||||
\(877\) | −0.0640221 | − | 0.0148877i | −0.00216187 | − | 0.000502722i | 0.225416 | − | 0.974263i | \(-0.427626\pi\) |
−0.227578 | + | 0.973760i | \(0.573081\pi\) | |||||||
\(878\) | 4.83862 | − | 2.04482i | 0.163296 | − | 0.0690093i | ||||
\(879\) | 46.7296 | − | 30.0313i | 1.57615 | − | 1.01293i | ||||
\(880\) | −11.8253 | + | 2.01120i | −0.398630 | + | 0.0677976i | ||||
\(881\) | −47.5437 | − | 30.5545i | −1.60179 | − | 1.02941i | −0.966341 | − | 0.257263i | \(-0.917179\pi\) |
−0.635447 | − | 0.772144i | \(-0.719184\pi\) | |||||||
\(882\) | 9.64657 | + | 1.66940i | 0.324817 | + | 0.0562118i | ||||
\(883\) | −2.67482 | + | 31.1424i | −0.0900150 | + | 1.04803i | 0.802393 | + | 0.596796i | \(0.203560\pi\) |
−0.892408 | + | 0.451230i | \(0.850986\pi\) | |||||||
\(884\) | −2.37468 | − | 27.6479i | −0.0798690 | − | 0.929898i | ||||
\(885\) | −39.0640 | + | 6.76029i | −1.31312 | + | 0.227245i | ||||
\(886\) | 0.630394 | + | 0.266407i | 0.0211785 | + | 0.00895011i | ||||
\(887\) | 35.0543 | + | 25.4685i | 1.17701 | + | 0.855148i | 0.991831 | − | 0.127557i | \(-0.0407136\pi\) |
0.185179 | + | 0.982705i | \(0.440714\pi\) | |||||||
\(888\) | −23.0473 | − | 13.0154i | −0.773415 | − | 0.436768i | ||||
\(889\) | 0.0508522 | − | 1.78006i | 0.00170553 | − | 0.0597013i | ||||
\(890\) | 0.708993 | + | 0.208179i | 0.0237655 | + | 0.00697818i | ||||
\(891\) | −60.9407 | + | 3.30773i | −2.04159 | + | 0.110813i | ||||
\(892\) | 48.8608 | − | 14.3468i | 1.63598 | − | 0.480368i | ||||
\(893\) | −1.11039 | − | 4.22438i | −0.0371579 | − | 0.141363i | ||||
\(894\) | 1.78048 | + | 8.78700i | 0.0595481 | + | 0.293881i | ||||
\(895\) | 1.98020 | − | 3.75290i | 0.0661909 | − | 0.125446i | ||||
\(896\) | −0.257807 | − | 9.02442i | −0.00861273 | − | 0.301485i | ||||
\(897\) | 4.78677 | − | 18.2108i | 0.159826 | − | 0.608039i | ||||
\(898\) | −7.16406 | − | 0.409656i | −0.239068 | − | 0.0136704i | ||||
\(899\) | −0.0646081 | − | 0.0664802i | −0.00215480 | − | 0.00221724i | ||||
\(900\) | −12.0629 | − | 5.93091i | −0.402096 | − | 0.197697i | ||||
\(901\) | −10.1622 | − | 22.2520i | −0.338551 | − | 0.741323i | ||||
\(902\) | −9.31697 | + | 2.70643i | −0.310221 | + | 0.0901143i | ||||
\(903\) | −14.6761 | + | 32.1362i | −0.488390 | + | 1.06942i | ||||
\(904\) | −7.34081 | + | 6.00255i | −0.244152 | + | 0.199642i | ||||
\(905\) | 7.40948 | + | 14.0425i | 0.246299 | + | 0.466789i | ||||
\(906\) | −4.23038 | + | 2.38901i | −0.140545 | + | 0.0793695i | ||||
\(907\) | −9.06105 | − | 1.03966i | −0.300867 | − | 0.0345213i | −0.0377565 | − | 0.999287i | \(-0.512021\pi\) |
−0.263111 | + | 0.964766i | \(0.584748\pi\) | |||||||
\(908\) | 0.332879 | + | 0.0381943i | 0.0110470 | + | 0.00126752i | ||||
\(909\) | 85.3179 | − | 48.1812i | 2.82981 | − | 1.59807i | ||||
\(910\) | −0.584658 | − | 1.10805i | −0.0193812 | − | 0.0367315i | ||||
\(911\) | 8.79938 | − | 7.19522i | 0.291536 | − | 0.238388i | −0.475921 | − | 0.879488i | \(-0.657885\pi\) |
0.767457 | + | 0.641100i | \(0.221522\pi\) | |||||||
\(912\) | −5.20669 | + | 11.4011i | −0.172411 | + | 0.377527i | ||||
\(913\) | 14.4034 | − | 16.5255i | 0.476684 | − | 0.546915i | ||||
\(914\) | 3.36102 | + | 7.35961i | 0.111173 | + | 0.243434i | ||||
\(915\) | 23.6830 | + | 11.6441i | 0.782936 | + | 0.384944i | ||||
\(916\) | 26.2938 | + | 27.0556i | 0.868770 | + | 0.893943i | ||||
\(917\) | 15.7754 | + | 0.902068i | 0.520948 | + | 0.0297889i | ||||
\(918\) | −2.81854 | + | 10.7228i | −0.0930256 | + | 0.353906i | ||||
\(919\) | −0.0889954 | − | 3.11524i | −0.00293569 | − | 0.102762i | −0.999739 | − | 0.0228629i | \(-0.992722\pi\) |
0.996803 | − | 0.0798995i | \(-0.0254599\pi\) | |||||||
\(920\) | −0.681503 | + | 1.29159i | −0.0224685 | + | 0.0425825i | ||||
\(921\) | 19.7511 | + | 97.4755i | 0.650821 | + | 3.21193i | ||||
\(922\) | −0.680511 | − | 2.58893i | −0.0224114 | − | 0.0852620i | ||||
\(923\) | 7.07368 | − | 2.07702i | 0.232833 | − | 0.0683660i | ||||
\(924\) | −16.9581 | − | 17.5509i | −0.557882 | − | 0.577382i | ||||
\(925\) | −8.05198 | − | 2.36427i | −0.264747 | − | 0.0777368i | ||||
\(926\) | −0.117431 | + | 4.11061i | −0.00385902 | + | 0.135083i | ||||
\(927\) | −33.3228 | − | 18.8183i | −1.09447 | − | 0.618073i | ||||
\(928\) | −0.0252435 | − | 0.0183405i | −0.000828658 | − | 0.000602056i | ||||
\(929\) | 14.4930 | + | 6.12480i | 0.475500 | + | 0.200948i | 0.613830 | − | 0.789438i | \(-0.289628\pi\) |
−0.138330 | + | 0.990386i | \(0.544173\pi\) | |||||||
\(930\) | −6.84956 | + | 1.18536i | −0.224606 | + | 0.0388696i | ||||
\(931\) | −0.521593 | − | 6.07279i | −0.0170945 | − | 0.199028i | ||||
\(932\) | −1.28980 | + | 15.0169i | −0.0422488 | + | 0.491893i | ||||
\(933\) | −43.0329 | − | 7.44714i | −1.40884 | − | 0.243809i | ||||
\(934\) | 4.72117 | + | 3.03411i | 0.154481 | + | 0.0992792i | ||||
\(935\) | 6.53629 | + | 9.61867i | 0.213760 | + | 0.314564i | ||||
\(936\) | 23.8946 | − | 15.3562i | 0.781021 | − | 0.501932i | ||||
\(937\) | 32.1481 | − | 13.5859i | 1.05023 | − | 0.443832i | 0.205297 | − | 0.978700i | \(-0.434184\pi\) |
0.844936 | + | 0.534867i | \(0.179638\pi\) | |||||||
\(938\) | −0.507368 | − | 0.117983i | −0.0165661 | − | 0.00385229i | ||||
\(939\) | −17.3216 | − | 44.4901i | −0.565268 | − | 1.45188i | ||||
\(940\) | −3.97252 | + | 6.58768i | −0.129569 | + | 0.214866i | ||||
\(941\) | −10.3300 | − | 31.7924i | −0.336747 | − | 1.03640i | −0.965855 | − | 0.259083i | \(-0.916580\pi\) |
0.629108 | − | 0.777318i | \(-0.283420\pi\) | |||||||
\(942\) | −0.0197879 | − | 0.0256614i | −0.000644725 | − | 0.000836094i | ||||
\(943\) | 6.09790 | − | 15.6623i | 0.198575 | − | 0.510035i | ||||
\(944\) | 25.6628 | − | 37.5306i | 0.835252 | − | 1.22152i | ||||
\(945\) | −2.13473 | − | 14.8474i | −0.0694427 | − | 0.482984i | ||||
\(946\) | 6.83093 | − | 3.83156i | 0.222093 | − | 0.124575i | ||||
\(947\) | 6.34137 | − | 44.1052i | 0.206067 | − | 1.43323i | −0.579764 | − | 0.814784i | \(-0.696855\pi\) |
0.785831 | − | 0.618441i | \(-0.212236\pi\) | |||||||
\(948\) | −38.9446 | − | 35.7430i | −1.26486 | − | 1.16088i | ||||
\(949\) | 27.2500 | − | 1.55821i | 0.884571 | − | 0.0505816i | ||||
\(950\) | 0.0554611 | − | 0.273711i | 0.00179940 | − | 0.00888037i | ||||
\(951\) | −37.0564 | − | 30.3009i | −1.20164 | − | 0.982574i | ||||
\(952\) | −3.79407 | + | 1.86542i | −0.122966 | + | 0.0604585i | ||||
\(953\) | 15.4169 | + | 5.50073i | 0.499402 | + | 0.178186i | 0.573725 | − | 0.819048i | \(-0.305498\pi\) |
−0.0743231 | + | 0.997234i | \(0.523680\pi\) | |||||||
\(954\) | 7.51960 | − | 9.75159i | 0.243456 | − | 0.315719i | ||||
\(955\) | −2.08461 | − | 3.45694i | −0.0674564 | − | 0.111864i | ||||
\(956\) | 12.2050 | − | 14.0854i | 0.394739 | − | 0.455553i | ||||
\(957\) | −0.111098 | + | 0.0124215i | −0.00359130 | + | 0.000401532i | ||||
\(958\) | −3.62439 | − | 4.18277i | −0.117099 | − | 0.135139i | ||||
\(959\) | 3.52792 | − | 10.8578i | 0.113922 | − | 0.350617i | ||||
\(960\) | 19.2808 | − | 6.87939i | 0.622287 | − | 0.222031i | ||||
\(961\) | 30.8251 | − | 31.7183i | 0.994359 | − | 1.02317i | ||||
\(962\) | 6.42492 | − | 5.89673i | 0.207148 | − | 0.190118i | ||||
\(963\) | −60.9228 | − | 89.0967i | −1.96321 | − | 2.87110i | ||||
\(964\) | 5.09104 | − | 1.18387i | 0.163971 | − | 0.0381299i | ||||
\(965\) | −2.53652 | + | 1.84289i | −0.0816533 | + | 0.0593246i | ||||
\(966\) | −1.40165 | + | 0.160825i | −0.0450975 | + | 0.00517445i | ||||
\(967\) | −39.4642 | −1.26908 | −0.634542 | − | 0.772888i | \(-0.718811\pi\) | ||||
−0.634542 | + | 0.772888i | \(0.718811\pi\) | |||||||
\(968\) | 1.50259 | + | 10.8984i | 0.0482951 | + | 0.350287i | ||||
\(969\) | 12.1515 | 0.390364 | ||||||||
\(970\) | −0.868983 | + | 0.0997065i | −0.0279014 | + | 0.00320138i | ||||
\(971\) | −5.05940 | + | 3.67587i | −0.162364 | + | 0.117964i | −0.666000 | − | 0.745951i | \(-0.731995\pi\) |
0.503637 | + | 0.863916i | \(0.331995\pi\) | |||||||
\(972\) | 39.0312 | − | 9.07631i | 1.25192 | − | 0.291123i | ||||
\(973\) | 4.02747 | + | 5.88999i | 0.129115 | + | 0.188824i | ||||
\(974\) | 0.549513 | − | 0.504339i | 0.0176075 | − | 0.0161600i | ||||
\(975\) | 8.98726 | − | 9.24767i | 0.287823 | − | 0.296162i | ||||
\(976\) | −28.5055 | + | 10.1707i | −0.912439 | + | 0.325558i | ||||
\(977\) | −2.65608 | + | 8.17458i | −0.0849756 | + | 0.261528i | −0.984512 | − | 0.175318i | \(-0.943905\pi\) |
0.899536 | + | 0.436846i | \(0.143905\pi\) | |||||||
\(978\) | 11.5206 | + | 13.2955i | 0.368389 | + | 0.425143i | ||||
\(979\) | −3.00651 | + | 9.16273i | −0.0960884 | + | 0.292842i | ||||
\(980\) | −7.02983 | + | 8.11285i | −0.224560 | + | 0.259156i | ||||
\(981\) | −54.6999 | − | 90.7096i | −1.74643 | − | 2.89614i | ||||
\(982\) | 4.59547 | − | 5.95951i | 0.146647 | − | 0.190176i | ||||
\(983\) | −7.47343 | − | 2.66651i | −0.238365 | − | 0.0850486i | 0.214165 | − | 0.976797i | \(-0.431297\pi\) |
−0.452531 | + | 0.891749i | \(0.649479\pi\) | |||||||
\(984\) | 32.5802 | − | 16.0186i | 1.03862 | − | 0.510655i | ||||
\(985\) | −15.9022 | − | 13.0032i | −0.506686 | − | 0.414315i | ||||
\(986\) | −0.00189141 | + | 0.00933445i | −6.02346e−5 | + | 0.000297270i | ||||
\(987\) | −15.0873 | + | 0.862721i | −0.480233 | + | 0.0274607i | ||||
\(988\) | −6.40731 | − | 5.88058i | −0.203844 | − | 0.187086i | ||||
\(989\) | −1.93094 | + | 13.4300i | −0.0614003 | + | 0.427049i | ||||
\(990\) | −2.74687 | + | 5.16957i | −0.0873011 | + | 0.164300i | ||||
\(991\) | 8.12705 | + | 56.5249i | 0.258164 | + | 1.79557i | 0.545887 | + | 0.837859i | \(0.316193\pi\) |
−0.287722 | + | 0.957714i | \(0.592898\pi\) | |||||||
\(992\) | 14.2925 | − | 20.9020i | 0.453786 | − | 0.663641i | ||||
\(993\) | 23.2664 | − | 59.7593i | 0.738338 | − | 1.89641i | ||||
\(994\) | −0.337319 | − | 0.437442i | −0.0106991 | − | 0.0138748i | ||||
\(995\) | −2.95536 | − | 9.09565i | −0.0936911 | − | 0.288352i | ||||
\(996\) | −20.8325 | + | 34.5468i | −0.660102 | + | 1.09466i | ||||
\(997\) | −8.82506 | − | 22.6670i | −0.279492 | − | 0.717870i | −0.999709 | − | 0.0241210i | \(-0.992321\pi\) |
0.720217 | − | 0.693749i | \(-0.244042\pi\) | |||||||
\(998\) | −1.93068 | − | 0.448961i | −0.0611147 | − | 0.0142116i | ||||
\(999\) | 96.1764 | − | 40.6445i | 3.04289 | − | 1.28593i |
(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 | 605.2.s.b.416.12 | yes | 880 | |
121.16 | even | 55 | inner | 605.2.s.b.16.12 | ✓ | 880 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.s.b.16.12 | ✓ | 880 | 121.16 | even | 55 | inner | |
605.2.s.b.416.12 | yes | 880 | 1.1 | even | 1 | trivial |