Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(29,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.29");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.f (of order \(2\), degree \(1\), 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: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 29.13 | ||
Character | \(\chi\) | \(=\) | 105.29 |
Dual form | 105.3.f.a.29.14 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.505667 | 0.252834 | 0.126417 | − | 0.991977i | \(-0.459652\pi\) | ||||
0.126417 | + | 0.991977i | \(0.459652\pi\) | |||||||
\(3\) | 0.985457 | − | 2.83353i | 0.328486 | − | 0.944509i | ||||
\(4\) | −3.74430 | −0.936075 | ||||||||
\(5\) | 0.221081 | − | 4.99511i | 0.0442161 | − | 0.999022i | ||||
\(6\) | 0.498313 | − | 1.43282i | 0.0830522 | − | 0.238804i | ||||
\(7\) | 2.64575i | 0.377964i | ||||||||
\(8\) | −3.91604 | −0.489505 | ||||||||
\(9\) | −7.05775 | − | 5.58464i | −0.784194 | − | 0.620515i | ||||
\(10\) | 0.111793 | − | 2.52586i | 0.0111793 | − | 0.252586i | ||||
\(11\) | − | 13.3853i | − | 1.21685i | −0.793612 | − | 0.608424i | \(-0.791802\pi\) | ||
0.793612 | − | 0.608424i | \(-0.208198\pi\) | |||||||
\(12\) | −3.68985 | + | 10.6096i | −0.307487 | + | 0.884131i | ||||
\(13\) | 3.27000i | 0.251539i | 0.992060 | + | 0.125769i | \(0.0401399\pi\) | ||||
−0.992060 | + | 0.125769i | \(0.959860\pi\) | |||||||
\(14\) | 1.33787i | 0.0955622i | ||||||||
\(15\) | −13.9359 | − | 5.54890i | −0.929061 | − | 0.369927i | ||||
\(16\) | 12.9970 | 0.812312 | ||||||||
\(17\) | 21.9449 | 1.29088 | 0.645438 | − | 0.763813i | \(-0.276675\pi\) | ||||
0.645438 | + | 0.763813i | \(0.276675\pi\) | |||||||
\(18\) | −3.56887 | − | 2.82397i | −0.198271 | − | 0.156887i | ||||
\(19\) | −4.36782 | −0.229886 | −0.114943 | − | 0.993372i | \(-0.536668\pi\) | ||||
−0.114943 | + | 0.993372i | \(0.536668\pi\) | |||||||
\(20\) | −0.827792 | + | 18.7032i | −0.0413896 | + | 0.935160i | ||||
\(21\) | 7.49681 | + | 2.60727i | 0.356991 | + | 0.124156i | ||||
\(22\) | − | 6.76852i | − | 0.307660i | ||||||
\(23\) | 30.4863 | 1.32549 | 0.662745 | − | 0.748845i | \(-0.269391\pi\) | ||||
0.662745 | + | 0.748845i | \(0.269391\pi\) | |||||||
\(24\) | −3.85909 | + | 11.0962i | −0.160795 | + | 0.462342i | ||||
\(25\) | −24.9022 | − | 2.20864i | −0.996090 | − | 0.0883458i | ||||
\(26\) | 1.65353i | 0.0635974i | ||||||||
\(27\) | −22.7793 | + | 14.4949i | −0.843679 | + | 0.536848i | ||||
\(28\) | − | 9.90649i | − | 0.353803i | ||||||
\(29\) | 4.90100i | 0.169000i | 0.996423 | + | 0.0845000i | \(0.0269293\pi\) | ||||
−0.996423 | + | 0.0845000i | \(0.973071\pi\) | |||||||
\(30\) | −7.04694 | − | 2.80590i | −0.234898 | − | 0.0935300i | ||||
\(31\) | 29.2074 | 0.942176 | 0.471088 | − | 0.882086i | \(-0.343861\pi\) | ||||
0.471088 | + | 0.882086i | \(0.343861\pi\) | |||||||
\(32\) | 22.2363 | 0.694885 | ||||||||
\(33\) | −37.9277 | − | 13.1907i | −1.14932 | − | 0.399717i | ||||
\(34\) | 11.0968 | 0.326377 | ||||||||
\(35\) | 13.2158 | + | 0.584924i | 0.377595 | + | 0.0167121i | ||||
\(36\) | 26.4263 | + | 20.9106i | 0.734065 | + | 0.580849i | ||||
\(37\) | − | 24.8760i | − | 0.672323i | −0.941804 | − | 0.336162i | \(-0.890871\pi\) | ||
0.941804 | − | 0.336162i | \(-0.109129\pi\) | |||||||
\(38\) | −2.20867 | −0.0581228 | ||||||||
\(39\) | 9.26564 | + | 3.22245i | 0.237580 | + | 0.0826268i | ||||
\(40\) | −0.865761 | + | 19.5611i | −0.0216440 | + | 0.489026i | ||||
\(41\) | 13.6825i | 0.333721i | 0.985981 | + | 0.166860i | \(0.0533629\pi\) | ||||
−0.985981 | + | 0.166860i | \(0.946637\pi\) | |||||||
\(42\) | 3.79089 | + | 1.31841i | 0.0902593 | + | 0.0313908i | ||||
\(43\) | 64.9582i | 1.51066i | 0.655347 | + | 0.755328i | \(0.272523\pi\) | ||||
−0.655347 | + | 0.755328i | \(0.727477\pi\) | |||||||
\(44\) | 50.1187i | 1.13906i | ||||||||
\(45\) | −29.4562 | + | 34.0196i | −0.654582 | + | 0.755991i | ||||
\(46\) | 15.4159 | 0.335128 | ||||||||
\(47\) | −75.3743 | −1.60371 | −0.801854 | − | 0.597519i | \(-0.796153\pi\) | ||||
−0.801854 | + | 0.597519i | \(0.796153\pi\) | |||||||
\(48\) | 12.8080 | − | 36.8273i | 0.266833 | − | 0.767236i | ||||
\(49\) | −7.00000 | −0.142857 | ||||||||
\(50\) | −12.5923 | − | 1.11684i | −0.251845 | − | 0.0223368i | ||||
\(51\) | 21.6258 | − | 62.1815i | 0.424034 | − | 1.21924i | ||||
\(52\) | − | 12.2439i | − | 0.235459i | ||||||
\(53\) | 67.1397 | 1.26679 | 0.633394 | − | 0.773830i | \(-0.281661\pi\) | ||||
0.633394 | + | 0.773830i | \(0.281661\pi\) | |||||||
\(54\) | −11.5188 | + | 7.32960i | −0.213310 | + | 0.135733i | ||||
\(55\) | −66.8612 | − | 2.95924i | −1.21566 | − | 0.0538043i | ||||
\(56\) | − | 10.3609i | − | 0.185016i | ||||||
\(57\) | −4.30430 | + | 12.3763i | −0.0755141 | + | 0.217129i | ||||
\(58\) | 2.47828i | 0.0427289i | ||||||||
\(59\) | − | 61.2523i | − | 1.03818i | −0.854721 | − | 0.519088i | \(-0.826272\pi\) | ||
0.854721 | − | 0.519088i | \(-0.173728\pi\) | |||||||
\(60\) | 52.1802 | + | 20.7768i | 0.869671 | + | 0.346279i | ||||
\(61\) | 46.8643 | 0.768267 | 0.384133 | − | 0.923278i | \(-0.374500\pi\) | ||||
0.384133 | + | 0.923278i | \(0.374500\pi\) | |||||||
\(62\) | 14.7693 | 0.238214 | ||||||||
\(63\) | 14.7756 | − | 18.6730i | 0.234533 | − | 0.296398i | ||||
\(64\) | −40.7438 | −0.636621 | ||||||||
\(65\) | 16.3340 | + | 0.722934i | 0.251293 | + | 0.0111221i | ||||
\(66\) | −19.1788 | − | 6.67009i | −0.290588 | − | 0.101062i | ||||
\(67\) | − | 96.7958i | − | 1.44471i | −0.691520 | − | 0.722357i | \(-0.743059\pi\) | ||
0.691520 | − | 0.722357i | \(-0.256941\pi\) | |||||||
\(68\) | −82.1683 | −1.20836 | ||||||||
\(69\) | 30.0429 | − | 86.3836i | 0.435404 | − | 1.25194i | ||||
\(70\) | 6.68281 | + | 0.295777i | 0.0954687 | + | 0.00422539i | ||||
\(71\) | − | 108.224i | − | 1.52428i | −0.647413 | − | 0.762140i | \(-0.724149\pi\) | ||
0.647413 | − | 0.762140i | \(-0.275851\pi\) | |||||||
\(72\) | 27.6384 | + | 21.8697i | 0.383867 | + | 0.303745i | ||||
\(73\) | 50.7288i | 0.694915i | 0.937696 | + | 0.347457i | \(0.112955\pi\) | ||||
−0.937696 | + | 0.347457i | \(0.887045\pi\) | |||||||
\(74\) | − | 12.5790i | − | 0.169986i | ||||||
\(75\) | −30.7983 | + | 68.3847i | −0.410645 | + | 0.911795i | ||||
\(76\) | 16.3544 | 0.215190 | ||||||||
\(77\) | 35.4142 | 0.459925 | ||||||||
\(78\) | 4.68533 | + | 1.62949i | 0.0600683 | + | 0.0208908i | ||||
\(79\) | −59.8158 | −0.757162 | −0.378581 | − | 0.925568i | \(-0.623588\pi\) | ||||
−0.378581 | + | 0.925568i | \(0.623588\pi\) | |||||||
\(80\) | 2.87338 | − | 64.9214i | 0.0359173 | − | 0.811517i | ||||
\(81\) | 18.6236 | + | 78.8299i | 0.229922 | + | 0.973209i | ||||
\(82\) | 6.91882i | 0.0843758i | ||||||||
\(83\) | −82.9049 | −0.998855 | −0.499427 | − | 0.866356i | \(-0.666456\pi\) | ||||
−0.499427 | + | 0.866356i | \(0.666456\pi\) | |||||||
\(84\) | −28.0703 | − | 9.76242i | −0.334170 | − | 0.116219i | ||||
\(85\) | 4.85159 | − | 109.617i | 0.0570775 | − | 1.28961i | ||||
\(86\) | 32.8473i | 0.381945i | ||||||||
\(87\) | 13.8871 | + | 4.82972i | 0.159622 | + | 0.0555141i | ||||
\(88\) | 52.4175i | 0.595653i | ||||||||
\(89\) | 79.4072i | 0.892216i | 0.894979 | + | 0.446108i | \(0.147190\pi\) | ||||
−0.894979 | + | 0.446108i | \(0.852810\pi\) | |||||||
\(90\) | −14.8950 | + | 17.2026i | −0.165500 | + | 0.191140i | ||||
\(91\) | −8.65161 | −0.0950726 | ||||||||
\(92\) | −114.150 | −1.24076 | ||||||||
\(93\) | 28.7827 | − | 82.7601i | 0.309491 | − | 0.889893i | ||||
\(94\) | −38.1143 | −0.405472 | ||||||||
\(95\) | −0.965641 | + | 21.8178i | −0.0101646 | + | 0.229661i | ||||
\(96\) | 21.9129 | − | 63.0072i | 0.228260 | − | 0.656325i | ||||
\(97\) | 103.792i | 1.07003i | 0.844844 | + | 0.535013i | \(0.179693\pi\) | ||||
−0.844844 | + | 0.535013i | \(0.820307\pi\) | |||||||
\(98\) | −3.53967 | −0.0361191 | ||||||||
\(99\) | −74.7522 | + | 94.4703i | −0.755073 | + | 0.954245i | ||||
\(100\) | 93.2415 | + | 8.26983i | 0.932415 | + | 0.0826983i | ||||
\(101\) | 50.9279i | 0.504237i | 0.967696 | + | 0.252118i | \(0.0811272\pi\) | ||||
−0.967696 | + | 0.252118i | \(0.918873\pi\) | |||||||
\(102\) | 10.9354 | − | 31.4431i | 0.107210 | − | 0.308266i | ||||
\(103\) | 47.3487i | 0.459696i | 0.973227 | + | 0.229848i | \(0.0738229\pi\) | ||||
−0.973227 | + | 0.229848i | \(0.926177\pi\) | |||||||
\(104\) | − | 12.8055i | − | 0.123129i | ||||||
\(105\) | 14.6810 | − | 36.8710i | 0.139819 | − | 0.351152i | ||||
\(106\) | 33.9504 | 0.320287 | ||||||||
\(107\) | 105.419 | 0.985223 | 0.492612 | − | 0.870249i | \(-0.336042\pi\) | ||||
0.492612 | + | 0.870249i | \(0.336042\pi\) | |||||||
\(108\) | 85.2927 | − | 54.2733i | 0.789747 | − | 0.502530i | ||||
\(109\) | 134.280 | 1.23193 | 0.615964 | − | 0.787775i | \(-0.288767\pi\) | ||||
0.615964 | + | 0.787775i | \(0.288767\pi\) | |||||||
\(110\) | −33.8095 | − | 1.49639i | −0.307359 | − | 0.0136035i | ||||
\(111\) | −70.4867 | − | 24.5142i | −0.635015 | − | 0.220849i | ||||
\(112\) | 34.3868i | 0.307025i | ||||||||
\(113\) | −22.7668 | −0.201476 | −0.100738 | − | 0.994913i | \(-0.532120\pi\) | ||||
−0.100738 | + | 0.994913i | \(0.532120\pi\) | |||||||
\(114\) | −2.17655 | + | 6.25832i | −0.0190925 | + | 0.0548975i | ||||
\(115\) | 6.73992 | − | 152.282i | 0.0586080 | − | 1.32419i | ||||
\(116\) | − | 18.3508i | − | 0.158197i | ||||||
\(117\) | 18.2618 | − | 23.0788i | 0.156084 | − | 0.197255i | ||||
\(118\) | − | 30.9733i | − | 0.262486i | ||||||
\(119\) | 58.0607i | 0.487905i | ||||||||
\(120\) | 54.5736 | + | 21.7297i | 0.454780 | + | 0.181081i | ||||
\(121\) | −58.1670 | −0.480719 | ||||||||
\(122\) | 23.6977 | 0.194244 | ||||||||
\(123\) | 38.7699 | + | 13.4836i | 0.315202 | + | 0.109622i | ||||
\(124\) | −109.361 | −0.881947 | ||||||||
\(125\) | −16.5378 | + | 123.901i | −0.132303 | + | 0.991209i | ||||
\(126\) | 7.47152 | − | 9.44235i | 0.0592978 | − | 0.0749393i | ||||
\(127\) | 62.4984i | 0.492113i | 0.969255 | + | 0.246057i | \(0.0791349\pi\) | ||||
−0.969255 | + | 0.246057i | \(0.920865\pi\) | |||||||
\(128\) | −109.548 | −0.855844 | ||||||||
\(129\) | 184.061 | + | 64.0135i | 1.42683 | + | 0.496229i | ||||
\(130\) | 8.25958 | + | 0.365564i | 0.0635352 | + | 0.00281203i | ||||
\(131\) | 129.282i | 0.986886i | 0.869778 | + | 0.493443i | \(0.164262\pi\) | ||||
−0.869778 | + | 0.493443i | \(0.835738\pi\) | |||||||
\(132\) | 142.013 | + | 49.3898i | 1.07585 | + | 0.374165i | ||||
\(133\) | − | 11.5562i | − | 0.0868886i | ||||||
\(134\) | − | 48.9465i | − | 0.365272i | ||||||
\(135\) | 67.3676 | + | 116.990i | 0.499019 | + | 0.866591i | ||||
\(136\) | −85.9371 | −0.631890 | ||||||||
\(137\) | −115.143 | −0.840462 | −0.420231 | − | 0.907417i | \(-0.638051\pi\) | ||||
−0.420231 | + | 0.907417i | \(0.638051\pi\) | |||||||
\(138\) | 15.1917 | − | 43.6814i | 0.110085 | − | 0.316532i | ||||
\(139\) | 263.818 | 1.89797 | 0.948987 | − | 0.315316i | \(-0.102111\pi\) | ||||
0.948987 | + | 0.315316i | \(0.102111\pi\) | |||||||
\(140\) | −49.4840 | − | 2.19013i | −0.353457 | − | 0.0156438i | ||||
\(141\) | −74.2781 | + | 213.575i | −0.526795 | + | 1.51472i | ||||
\(142\) | − | 54.7253i | − | 0.385389i | ||||||
\(143\) | 43.7700 | 0.306084 | ||||||||
\(144\) | −91.7295 | − | 72.5835i | −0.637010 | − | 0.504052i | ||||
\(145\) | 24.4810 | + | 1.08352i | 0.168835 | + | 0.00747252i | ||||
\(146\) | 25.6519i | 0.175698i | ||||||||
\(147\) | −6.89820 | + | 19.8347i | −0.0469265 | + | 0.134930i | ||||
\(148\) | 93.1431i | 0.629345i | ||||||||
\(149\) | 44.5512i | 0.299001i | 0.988762 | + | 0.149501i | \(0.0477666\pi\) | ||||
−0.988762 | + | 0.149501i | \(0.952233\pi\) | |||||||
\(150\) | −15.5737 | + | 34.5799i | −0.103825 | + | 0.230533i | ||||
\(151\) | −197.815 | −1.31003 | −0.655017 | − | 0.755614i | \(-0.727339\pi\) | ||||
−0.655017 | + | 0.755614i | \(0.727339\pi\) | |||||||
\(152\) | 17.1046 | 0.112530 | ||||||||
\(153\) | −154.882 | − | 122.554i | −1.01230 | − | 0.801009i | ||||
\(154\) | 17.9078 | 0.116285 | ||||||||
\(155\) | 6.45720 | − | 145.894i | 0.0416593 | − | 0.941254i | ||||
\(156\) | −34.6933 | − | 12.0658i | −0.222393 | − | 0.0773449i | ||||
\(157\) | 193.760i | 1.23414i | 0.786909 | + | 0.617069i | \(0.211680\pi\) | ||||
−0.786909 | + | 0.617069i | \(0.788320\pi\) | |||||||
\(158\) | −30.2469 | −0.191436 | ||||||||
\(159\) | 66.1633 | − | 190.242i | 0.416121 | − | 1.19649i | ||||
\(160\) | 4.91602 | − | 111.073i | 0.0307251 | − | 0.694205i | ||||
\(161\) | 80.6591i | 0.500988i | ||||||||
\(162\) | 9.41737 | + | 39.8617i | 0.0581319 | + | 0.246060i | ||||
\(163\) | 37.0528i | 0.227318i | 0.993520 | + | 0.113659i | \(0.0362571\pi\) | ||||
−0.993520 | + | 0.113659i | \(0.963743\pi\) | |||||||
\(164\) | − | 51.2316i | − | 0.312388i | ||||||
\(165\) | −74.2739 | + | 186.537i | −0.450145 | + | 1.13053i | ||||
\(166\) | −41.9223 | −0.252544 | ||||||||
\(167\) | −53.8763 | −0.322612 | −0.161306 | − | 0.986904i | \(-0.551571\pi\) | ||||
−0.161306 | + | 0.986904i | \(0.551571\pi\) | |||||||
\(168\) | −29.3578 | − | 10.2102i | −0.174749 | − | 0.0607749i | ||||
\(169\) | 158.307 | 0.936728 | ||||||||
\(170\) | 2.45329 | − | 55.4298i | 0.0144311 | − | 0.326058i | ||||
\(171\) | 30.8270 | + | 24.3927i | 0.180275 | + | 0.142647i | ||||
\(172\) | − | 243.223i | − | 1.41409i | ||||||
\(173\) | 212.646 | 1.22917 | 0.614584 | − | 0.788852i | \(-0.289324\pi\) | ||||
0.614584 | + | 0.788852i | \(0.289324\pi\) | |||||||
\(174\) | 7.02226 | + | 2.44223i | 0.0403578 | + | 0.0140358i | ||||
\(175\) | 5.84352 | − | 65.8852i | 0.0333916 | − | 0.376487i | ||||
\(176\) | − | 173.969i | − | 0.988460i | ||||||
\(177\) | −173.560 | − | 60.3615i | −0.980566 | − | 0.341026i | ||||
\(178\) | 40.1536i | 0.225582i | ||||||||
\(179\) | − | 227.092i | − | 1.26867i | −0.773058 | − | 0.634335i | \(-0.781274\pi\) | ||
0.773058 | − | 0.634335i | \(-0.218726\pi\) | |||||||
\(180\) | 110.293 | − | 127.380i | 0.612738 | − | 0.707664i | ||||
\(181\) | −197.563 | −1.09151 | −0.545754 | − | 0.837946i | \(-0.683757\pi\) | ||||
−0.545754 | + | 0.837946i | \(0.683757\pi\) | |||||||
\(182\) | −4.37484 | −0.0240376 | ||||||||
\(183\) | 46.1827 | − | 132.791i | 0.252365 | − | 0.725635i | ||||
\(184\) | −119.385 | −0.648834 | ||||||||
\(185\) | −124.258 | − | 5.49959i | −0.671666 | − | 0.0297275i | ||||
\(186\) | 14.5545 | − | 41.8491i | 0.0782498 | − | 0.224995i | ||||
\(187\) | − | 293.740i | − | 1.57080i | ||||||
\(188\) | 282.224 | 1.50119 | ||||||||
\(189\) | −38.3499 | − | 60.2684i | −0.202910 | − | 0.318881i | ||||
\(190\) | −0.488293 | + | 11.0325i | −0.00256996 | + | 0.0580660i | ||||
\(191\) | − | 131.748i | − | 0.689779i | −0.938643 | − | 0.344889i | \(-0.887916\pi\) | ||
0.938643 | − | 0.344889i | \(-0.112084\pi\) | |||||||
\(192\) | −40.1512 | + | 115.449i | −0.209121 | + | 0.601295i | ||||
\(193\) | 261.426i | 1.35454i | 0.735734 | + | 0.677271i | \(0.236837\pi\) | ||||
−0.735734 | + | 0.677271i | \(0.763163\pi\) | |||||||
\(194\) | 52.4845i | 0.270539i | ||||||||
\(195\) | 18.1449 | − | 45.5704i | 0.0930509 | − | 0.233695i | ||||
\(196\) | 26.2101 | 0.133725 | ||||||||
\(197\) | 390.509 | 1.98228 | 0.991139 | − | 0.132831i | \(-0.0424068\pi\) | ||||
0.991139 | + | 0.132831i | \(0.0424068\pi\) | |||||||
\(198\) | −37.7998 | + | 47.7705i | −0.190908 | + | 0.241265i | ||||
\(199\) | −141.883 | −0.712979 | −0.356489 | − | 0.934299i | \(-0.616026\pi\) | ||||
−0.356489 | + | 0.934299i | \(0.616026\pi\) | |||||||
\(200\) | 97.5182 | + | 8.64914i | 0.487591 | + | 0.0432457i | ||||
\(201\) | −274.274 | − | 95.3881i | −1.36455 | − | 0.474568i | ||||
\(202\) | 25.7526i | 0.127488i | ||||||||
\(203\) | −12.9668 | −0.0638760 | ||||||||
\(204\) | −80.9733 | + | 232.826i | −0.396928 | + | 1.14130i | ||||
\(205\) | 68.3458 | + | 3.02495i | 0.333394 | + | 0.0147558i | ||||
\(206\) | 23.9427i | 0.116227i | ||||||||
\(207\) | −215.164 | − | 170.255i | −1.03944 | − | 0.822487i | ||||
\(208\) | 42.5002i | 0.204328i | ||||||||
\(209\) | 58.4648i | 0.279736i | ||||||||
\(210\) | 7.42371 | − | 18.6444i | 0.0353510 | − | 0.0887831i | ||||
\(211\) | −115.598 | −0.547860 | −0.273930 | − | 0.961750i | \(-0.588324\pi\) | ||||
−0.273930 | + | 0.961750i | \(0.588324\pi\) | |||||||
\(212\) | −251.391 | −1.18581 | ||||||||
\(213\) | −306.655 | − | 106.650i | −1.43970 | − | 0.500704i | ||||
\(214\) | 53.3069 | 0.249098 | ||||||||
\(215\) | 324.473 | + | 14.3610i | 1.50918 | + | 0.0667954i | ||||
\(216\) | 89.2048 | − | 56.7626i | 0.412985 | − | 0.262790i | ||||
\(217\) | 77.2756i | 0.356109i | ||||||||
\(218\) | 67.9011 | 0.311473 | ||||||||
\(219\) | 143.741 | + | 49.9910i | 0.656353 | + | 0.228270i | ||||
\(220\) | 250.348 | + | 11.0803i | 1.13795 | + | 0.0503649i | ||||
\(221\) | 71.7598i | 0.324705i | ||||||||
\(222\) | −35.6428 | − | 12.3960i | −0.160553 | − | 0.0558379i | ||||
\(223\) | 72.6912i | 0.325970i | 0.986629 | + | 0.162985i | \(0.0521122\pi\) | ||||
−0.986629 | + | 0.162985i | \(0.947888\pi\) | |||||||
\(224\) | 58.8318i | 0.262642i | ||||||||
\(225\) | 163.419 | + | 154.658i | 0.726308 | + | 0.687369i | ||||
\(226\) | −11.5125 | −0.0509400 | ||||||||
\(227\) | −97.0030 | −0.427326 | −0.213663 | − | 0.976907i | \(-0.568539\pi\) | ||||
−0.213663 | + | 0.976907i | \(0.568539\pi\) | |||||||
\(228\) | 16.1166 | − | 46.3408i | 0.0706869 | − | 0.203249i | ||||
\(229\) | −15.2371 | −0.0665374 | −0.0332687 | − | 0.999446i | \(-0.510592\pi\) | ||||
−0.0332687 | + | 0.999446i | \(0.510592\pi\) | |||||||
\(230\) | 3.40816 | − | 77.0042i | 0.0148181 | − | 0.334801i | ||||
\(231\) | 34.8992 | − | 100.347i | 0.151079 | − | 0.434404i | ||||
\(232\) | − | 19.1925i | − | 0.0827263i | ||||||
\(233\) | 19.9430 | 0.0855921 | 0.0427960 | − | 0.999084i | \(-0.486373\pi\) | ||||
0.0427960 | + | 0.999084i | \(0.486373\pi\) | |||||||
\(234\) | 9.23438 | − | 11.6702i | 0.0394632 | − | 0.0498727i | ||||
\(235\) | −16.6638 | + | 376.503i | −0.0709098 | + | 1.60214i | ||||
\(236\) | 229.347i | 0.971810i | ||||||||
\(237\) | −58.9459 | + | 169.490i | −0.248717 | + | 0.715146i | ||||
\(238\) | 29.3594i | 0.123359i | ||||||||
\(239\) | − | 312.826i | − | 1.30890i | −0.756107 | − | 0.654448i | \(-0.772901\pi\) | ||
0.756107 | − | 0.654448i | \(-0.227099\pi\) | |||||||
\(240\) | −181.125 | − | 72.1190i | −0.754687 | − | 0.300496i | ||||
\(241\) | 86.9196 | 0.360662 | 0.180331 | − | 0.983606i | \(-0.442283\pi\) | ||||
0.180331 | + | 0.983606i | \(0.442283\pi\) | |||||||
\(242\) | −29.4132 | −0.121542 | ||||||||
\(243\) | 241.720 | + | 24.9129i | 0.994731 | + | 0.102522i | ||||
\(244\) | −175.474 | −0.719155 | ||||||||
\(245\) | −1.54756 | + | 34.9658i | −0.00631659 | + | 0.142717i | ||||
\(246\) | 19.6047 | + | 6.81820i | 0.0796937 | + | 0.0277163i | ||||
\(247\) | − | 14.2828i | − | 0.0578251i | ||||||
\(248\) | −114.378 | −0.461200 | ||||||||
\(249\) | −81.6992 | + | 234.913i | −0.328109 | + | 0.943427i | ||||
\(250\) | −8.36264 | + | 62.6528i | −0.0334506 | + | 0.250611i | ||||
\(251\) | 239.629i | 0.954695i | 0.878714 | + | 0.477348i | \(0.158402\pi\) | ||||
−0.878714 | + | 0.477348i | \(0.841598\pi\) | |||||||
\(252\) | −55.3241 | + | 69.9175i | −0.219540 | + | 0.277450i | ||||
\(253\) | − | 408.069i | − | 1.61292i | ||||||
\(254\) | 31.6034i | 0.124423i | ||||||||
\(255\) | −305.822 | − | 121.770i | −1.19930 | − | 0.477530i | ||||
\(256\) | 107.580 | 0.420235 | ||||||||
\(257\) | 195.470 | 0.760584 | 0.380292 | − | 0.924867i | \(-0.375824\pi\) | ||||
0.380292 | + | 0.924867i | \(0.375824\pi\) | |||||||
\(258\) | 93.0736 | + | 32.3696i | 0.360750 | + | 0.125463i | ||||
\(259\) | 65.8156 | 0.254114 | ||||||||
\(260\) | −61.1595 | − | 2.70688i | −0.235229 | − | 0.0104111i | ||||
\(261\) | 27.3703 | − | 34.5900i | 0.104867 | − | 0.132529i | ||||
\(262\) | 65.3737i | 0.249518i | ||||||||
\(263\) | −314.308 | −1.19509 | −0.597544 | − | 0.801836i | \(-0.703857\pi\) | ||||
−0.597544 | + | 0.801836i | \(0.703857\pi\) | |||||||
\(264\) | 148.526 | + | 51.6552i | 0.562600 | + | 0.195664i | ||||
\(265\) | 14.8433 | − | 335.370i | 0.0560124 | − | 1.26555i | ||||
\(266\) | − | 5.84358i | − | 0.0219684i | ||||||
\(267\) | 225.002 | + | 78.2524i | 0.842706 | + | 0.293080i | ||||
\(268\) | 362.433i | 1.35236i | ||||||||
\(269\) | − | 11.6841i | − | 0.0434354i | −0.999764 | − | 0.0217177i | \(-0.993087\pi\) | ||
0.999764 | − | 0.0217177i | \(-0.00691350\pi\) | |||||||
\(270\) | 34.0656 | + | 59.1579i | 0.126169 | + | 0.219103i | ||||
\(271\) | 396.895 | 1.46456 | 0.732278 | − | 0.681006i | \(-0.238457\pi\) | ||||
0.732278 | + | 0.681006i | \(0.238457\pi\) | |||||||
\(272\) | 285.218 | 1.04859 | ||||||||
\(273\) | −8.52579 | + | 24.5146i | −0.0312300 | + | 0.0897970i | ||||
\(274\) | −58.2242 | −0.212497 | ||||||||
\(275\) | −29.5634 | + | 333.325i | −0.107503 | + | 1.21209i | ||||
\(276\) | −112.490 | + | 323.446i | −0.407571 | + | 1.17191i | ||||
\(277\) | − | 465.546i | − | 1.68067i | −0.542067 | − | 0.840336i | \(-0.682358\pi\) | ||
0.542067 | − | 0.840336i | \(-0.317642\pi\) | |||||||
\(278\) | 133.404 | 0.479872 | ||||||||
\(279\) | −206.139 | − | 163.113i | −0.738849 | − | 0.584634i | ||||
\(280\) | −51.7537 | − | 2.29059i | −0.184835 | − | 0.00818067i | ||||
\(281\) | − | 22.8385i | − | 0.0812758i | −0.999174 | − | 0.0406379i | \(-0.987061\pi\) | ||
0.999174 | − | 0.0406379i | \(-0.0129390\pi\) | |||||||
\(282\) | −37.5600 | + | 107.998i | −0.133192 | + | 0.382972i | ||||
\(283\) | − | 267.163i | − | 0.944039i | −0.881588 | − | 0.472020i | \(-0.843525\pi\) | ||
0.881588 | − | 0.472020i | \(-0.156475\pi\) | |||||||
\(284\) | 405.223i | 1.42684i | ||||||||
\(285\) | 60.8696 | + | 24.2366i | 0.213578 | + | 0.0850408i | ||||
\(286\) | 22.1331 | 0.0773884 | ||||||||
\(287\) | −36.2006 | −0.126135 | ||||||||
\(288\) | −156.938 | − | 124.182i | −0.544925 | − | 0.431187i | ||||
\(289\) | 192.579 | 0.666362 | ||||||||
\(290\) | 12.3793 | + | 0.547899i | 0.0426871 | + | 0.00188931i | ||||
\(291\) | 294.099 | + | 102.283i | 1.01065 | + | 0.351488i | ||||
\(292\) | − | 189.944i | − | 0.650493i | ||||||
\(293\) | −76.4961 | −0.261079 | −0.130539 | − | 0.991443i | \(-0.541671\pi\) | ||||
−0.130539 | + | 0.991443i | \(0.541671\pi\) | |||||||
\(294\) | −3.48819 | + | 10.0298i | −0.0118646 | + | 0.0341148i | ||||
\(295\) | −305.962 | − | 13.5417i | −1.03716 | − | 0.0459041i | ||||
\(296\) | 97.4152i | 0.329106i | ||||||||
\(297\) | 194.019 | + | 304.909i | 0.653263 | + | 1.02663i | ||||
\(298\) | 22.5281i | 0.0755976i | ||||||||
\(299\) | 99.6901i | 0.333412i | ||||||||
\(300\) | 115.318 | − | 256.053i | 0.384394 | − | 0.853509i | ||||
\(301\) | −171.863 | −0.570974 | ||||||||
\(302\) | −100.029 | −0.331221 | ||||||||
\(303\) | 144.306 | + | 50.1873i | 0.476256 | + | 0.165635i | ||||
\(304\) | −56.7686 | −0.186739 | ||||||||
\(305\) | 10.3608 | − | 234.092i | 0.0339698 | − | 0.767515i | ||||
\(306\) | −78.3186 | − | 61.9717i | −0.255943 | − | 0.202522i | ||||
\(307\) | 430.795i | 1.40324i | 0.712551 | + | 0.701621i | \(0.247540\pi\) | ||||
−0.712551 | + | 0.701621i | \(0.752460\pi\) | |||||||
\(308\) | −132.602 | −0.430525 | ||||||||
\(309\) | 134.164 | + | 46.6601i | 0.434187 | + | 0.151003i | ||||
\(310\) | 3.26520 | − | 73.7740i | 0.0105329 | − | 0.237981i | ||||
\(311\) | − | 548.295i | − | 1.76301i | −0.472178 | − | 0.881503i | \(-0.656532\pi\) | ||
0.472178 | − | 0.881503i | \(-0.343468\pi\) | |||||||
\(312\) | −36.2846 | − | 12.6192i | −0.116297 | − | 0.0404462i | ||||
\(313\) | 265.497i | 0.848234i | 0.905607 | + | 0.424117i | \(0.139416\pi\) | ||||
−0.905607 | + | 0.424117i | \(0.860584\pi\) | |||||||
\(314\) | 97.9779i | 0.312032i | ||||||||
\(315\) | −90.0073 | − | 77.9338i | −0.285738 | − | 0.247409i | ||||
\(316\) | 223.968 | 0.708760 | ||||||||
\(317\) | −43.2820 | −0.136536 | −0.0682681 | − | 0.997667i | \(-0.521747\pi\) | ||||
−0.0682681 | + | 0.997667i | \(0.521747\pi\) | |||||||
\(318\) | 33.4566 | − | 96.1993i | 0.105210 | − | 0.302514i | ||||
\(319\) | 65.6015 | 0.205647 | ||||||||
\(320\) | −9.00766 | + | 203.520i | −0.0281489 | + | 0.635999i | ||||
\(321\) | 103.886 | − | 298.707i | 0.323632 | − | 0.930552i | ||||
\(322\) | 40.7867i | 0.126667i | ||||||||
\(323\) | −95.8515 | −0.296754 | ||||||||
\(324\) | −69.7325 | − | 295.163i | −0.215224 | − | 0.910997i | ||||
\(325\) | 7.22227 | − | 81.4304i | 0.0222224 | − | 0.250555i | ||||
\(326\) | 18.7364i | 0.0574737i | ||||||||
\(327\) | 132.327 | − | 380.486i | 0.404670 | − | 1.16357i | ||||
\(328\) | − | 53.5814i | − | 0.163358i | ||||||
\(329\) | − | 199.422i | − | 0.606145i | ||||||
\(330\) | −37.5579 | + | 94.3256i | −0.113812 | + | 0.285835i | ||||
\(331\) | 113.106 | 0.341711 | 0.170855 | − | 0.985296i | \(-0.445347\pi\) | ||||
0.170855 | + | 0.985296i | \(0.445347\pi\) | |||||||
\(332\) | 310.421 | 0.935003 | ||||||||
\(333\) | −138.923 | + | 175.568i | −0.417187 | + | 0.527232i | ||||
\(334\) | −27.2435 | −0.0815673 | ||||||||
\(335\) | −483.506 | − | 21.3997i | −1.44330 | − | 0.0638796i | ||||
\(336\) | 97.4359 | + | 33.8867i | 0.289988 | + | 0.100853i | ||||
\(337\) | 497.637i | 1.47667i | 0.674436 | + | 0.738334i | \(0.264387\pi\) | ||||
−0.674436 | + | 0.738334i | \(0.735613\pi\) | |||||||
\(338\) | 80.0507 | 0.236836 | ||||||||
\(339\) | −22.4357 | + | 64.5105i | −0.0661821 | + | 0.190296i | ||||
\(340\) | −18.1658 | + | 410.440i | −0.0534289 | + | 1.20718i | ||||
\(341\) | − | 390.951i | − | 1.14648i | ||||||
\(342\) | 15.5882 | + | 12.3346i | 0.0455796 | + | 0.0360661i | ||||
\(343\) | − | 18.5203i | − | 0.0539949i | ||||||
\(344\) | − | 254.379i | − | 0.739474i | ||||||
\(345\) | −424.854 | − | 169.165i | −1.23146 | − | 0.490334i | ||||
\(346\) | 107.528 | 0.310775 | ||||||||
\(347\) | −515.457 | −1.48547 | −0.742734 | − | 0.669587i | \(-0.766471\pi\) | ||||
−0.742734 | + | 0.669587i | \(0.766471\pi\) | |||||||
\(348\) | −51.9975 | − | 18.0839i | −0.149418 | − | 0.0519653i | ||||
\(349\) | −346.338 | −0.992373 | −0.496187 | − | 0.868216i | \(-0.665267\pi\) | ||||
−0.496187 | + | 0.868216i | \(0.665267\pi\) | |||||||
\(350\) | 2.95488 | − | 33.3160i | 0.00844251 | − | 0.0951885i | ||||
\(351\) | −47.3983 | − | 74.4884i | −0.135038 | − | 0.212218i | ||||
\(352\) | − | 297.640i | − | 0.845569i | ||||||
\(353\) | −172.050 | −0.487393 | −0.243697 | − | 0.969852i | \(-0.578360\pi\) | ||||
−0.243697 | + | 0.969852i | \(0.578360\pi\) | |||||||
\(354\) | −87.7637 | − | 30.5229i | −0.247920 | − | 0.0862228i | ||||
\(355\) | −540.590 | − | 23.9262i | −1.52279 | − | 0.0673977i | ||||
\(356\) | − | 297.324i | − | 0.835181i | ||||||
\(357\) | 164.517 | + | 57.2164i | 0.460831 | + | 0.160270i | ||||
\(358\) | − | 114.833i | − | 0.320762i | ||||||
\(359\) | 18.7897i | 0.0523391i | 0.999658 | + | 0.0261695i | \(0.00833097\pi\) | ||||
−0.999658 | + | 0.0261695i | \(0.991669\pi\) | |||||||
\(360\) | 115.352 | − | 133.222i | 0.320421 | − | 0.370061i | ||||
\(361\) | −341.922 | −0.947153 | ||||||||
\(362\) | −99.9011 | −0.275970 | ||||||||
\(363\) | −57.3211 | + | 164.818i | −0.157909 | + | 0.454043i | ||||
\(364\) | 32.3942 | 0.0889951 | ||||||||
\(365\) | 253.396 | + | 11.2152i | 0.694235 | + | 0.0307264i | ||||
\(366\) | 23.3531 | − | 67.1482i | 0.0638063 | − | 0.183465i | ||||
\(367\) | 386.638i | 1.05351i | 0.850017 | + | 0.526755i | \(0.176591\pi\) | ||||
−0.850017 | + | 0.526755i | \(0.823409\pi\) | |||||||
\(368\) | 396.230 | 1.07671 | ||||||||
\(369\) | 76.4121 | − | 96.5680i | 0.207079 | − | 0.261702i | ||||
\(370\) | −62.8333 | − | 2.78096i | −0.169820 | − | 0.00751612i | ||||
\(371\) | 177.635i | 0.478801i | ||||||||
\(372\) | −107.771 | + | 309.879i | −0.289707 | + | 0.833007i | ||||
\(373\) | − | 247.808i | − | 0.664364i | −0.943215 | − | 0.332182i | \(-0.892215\pi\) | ||
0.943215 | − | 0.332182i | \(-0.107785\pi\) | |||||||
\(374\) | − | 148.535i | − | 0.397151i | ||||||
\(375\) | 334.780 | + | 168.960i | 0.892747 | + | 0.450559i | ||||
\(376\) | 295.169 | 0.785024 | ||||||||
\(377\) | −16.0263 | −0.0425100 | ||||||||
\(378\) | −19.3923 | − | 30.4758i | −0.0513024 | − | 0.0806238i | ||||
\(379\) | 125.931 | 0.332271 | 0.166135 | − | 0.986103i | \(-0.446871\pi\) | ||||
0.166135 | + | 0.986103i | \(0.446871\pi\) | |||||||
\(380\) | 3.61565 | − | 81.6923i | 0.00951487 | − | 0.214980i | ||||
\(381\) | 177.091 | + | 61.5895i | 0.464805 | + | 0.161652i | ||||
\(382\) | − | 66.6205i | − | 0.174399i | ||||||
\(383\) | −247.866 | −0.647170 | −0.323585 | − | 0.946199i | \(-0.604888\pi\) | ||||
−0.323585 | + | 0.946199i | \(0.604888\pi\) | |||||||
\(384\) | −107.955 | + | 310.407i | −0.281133 | + | 0.808352i | ||||
\(385\) | 7.82940 | − | 176.898i | 0.0203361 | − | 0.459476i | ||||
\(386\) | 132.195i | 0.342474i | ||||||||
\(387\) | 362.768 | − | 458.459i | 0.937385 | − | 1.18465i | ||||
\(388\) | − | 388.630i | − | 1.00162i | ||||||
\(389\) | − | 313.757i | − | 0.806574i | −0.915074 | − | 0.403287i | \(-0.867868\pi\) | ||
0.915074 | − | 0.403287i | \(-0.132132\pi\) | |||||||
\(390\) | 9.17529 | − | 23.0435i | 0.0235264 | − | 0.0590859i | ||||
\(391\) | 669.018 | 1.71104 | ||||||||
\(392\) | 27.4123 | 0.0699293 | ||||||||
\(393\) | 366.324 | + | 127.402i | 0.932123 | + | 0.324178i | ||||
\(394\) | 197.467 | 0.501187 | ||||||||
\(395\) | −13.2241 | + | 298.786i | −0.0334787 | + | 0.756421i | ||||
\(396\) | 279.895 | − | 353.725i | 0.706805 | − | 0.893245i | ||||
\(397\) | − | 165.635i | − | 0.417218i | −0.977999 | − | 0.208609i | \(-0.933106\pi\) | ||
0.977999 | − | 0.208609i | \(-0.0668936\pi\) | |||||||
\(398\) | −71.7455 | −0.180265 | ||||||||
\(399\) | −32.7447 | − | 11.3881i | −0.0820670 | − | 0.0285416i | ||||
\(400\) | −323.654 | − | 28.7057i | −0.809136 | − | 0.0717643i | ||||
\(401\) | 279.659i | 0.697405i | 0.937234 | + | 0.348702i | \(0.113378\pi\) | ||||
−0.937234 | + | 0.348702i | \(0.886622\pi\) | |||||||
\(402\) | −138.691 | − | 48.2347i | −0.345003 | − | 0.119987i | ||||
\(403\) | 95.5084i | 0.236993i | ||||||||
\(404\) | − | 190.689i | − | 0.472003i | ||||||
\(405\) | 397.882 | − | 75.5994i | 0.982424 | − | 0.186665i | ||||
\(406\) | −6.55690 | −0.0161500 | ||||||||
\(407\) | −332.973 | −0.818115 | ||||||||
\(408\) | −84.6873 | + | 243.505i | −0.207567 | + | 0.596826i | ||||
\(409\) | −294.392 | −0.719784 | −0.359892 | − | 0.932994i | \(-0.617186\pi\) | ||||
−0.359892 | + | 0.932994i | \(0.617186\pi\) | |||||||
\(410\) | 34.5603 | + | 1.52962i | 0.0842933 | + | 0.00373077i | ||||
\(411\) | −113.469 | + | 326.262i | −0.276080 | + | 0.793824i | ||||
\(412\) | − | 177.288i | − | 0.430310i | ||||||
\(413\) | 162.058 | 0.392393 | ||||||||
\(414\) | −108.802 | − | 86.0923i | −0.262806 | − | 0.207952i | ||||
\(415\) | −18.3287 | + | 414.119i | −0.0441655 | + | 0.997878i | ||||
\(416\) | 72.7128i | 0.174790i | ||||||||
\(417\) | 259.982 | − | 747.536i | 0.623457 | − | 1.79265i | ||||
\(418\) | 29.5637i | 0.0707266i | ||||||||
\(419\) | 605.580i | 1.44530i | 0.691215 | + | 0.722649i | \(0.257076\pi\) | ||||
−0.691215 | + | 0.722649i | \(0.742924\pi\) | |||||||
\(420\) | −54.9701 | + | 138.056i | −0.130881 | + | 0.328705i | ||||
\(421\) | 182.276 | 0.432959 | 0.216479 | − | 0.976287i | \(-0.430543\pi\) | ||||
0.216479 | + | 0.976287i | \(0.430543\pi\) | |||||||
\(422\) | −58.4543 | −0.138517 | ||||||||
\(423\) | 531.973 | + | 420.938i | 1.25762 | + | 0.995126i | ||||
\(424\) | −262.922 | −0.620099 | ||||||||
\(425\) | −546.477 | − | 48.4685i | −1.28583 | − | 0.114043i | ||||
\(426\) | −155.066 | − | 53.9294i | −0.364004 | − | 0.126595i | ||||
\(427\) | 123.991i | 0.290378i | ||||||||
\(428\) | −394.720 | −0.922243 | ||||||||
\(429\) | 43.1335 | − | 124.024i | 0.100544 | − | 0.289099i | ||||
\(430\) | 164.076 | + | 7.26189i | 0.381571 | + | 0.0168881i | ||||
\(431\) | − | 391.145i | − | 0.907530i | −0.891121 | − | 0.453765i | \(-0.850081\pi\) | ||
0.891121 | − | 0.453765i | \(-0.149919\pi\) | |||||||
\(432\) | −296.063 | + | 188.390i | −0.685330 | + | 0.436088i | ||||
\(433\) | − | 482.337i | − | 1.11394i | −0.830532 | − | 0.556971i | \(-0.811964\pi\) | ||
0.830532 | − | 0.556971i | \(-0.188036\pi\) | |||||||
\(434\) | 39.0758i | 0.0900363i | ||||||||
\(435\) | 27.1952 | − | 68.2999i | 0.0625176 | − | 0.157011i | ||||
\(436\) | −502.785 | −1.15318 | ||||||||
\(437\) | −133.159 | −0.304711 | ||||||||
\(438\) | 72.6853 | + | 25.2788i | 0.165948 | + | 0.0577142i | ||||
\(439\) | −288.605 | −0.657414 | −0.328707 | − | 0.944432i | \(-0.606613\pi\) | ||||
−0.328707 | + | 0.944432i | \(0.606613\pi\) | |||||||
\(440\) | 261.831 | + | 11.5885i | 0.595071 | + | 0.0263375i | ||||
\(441\) | 49.4042 | + | 39.0925i | 0.112028 | + | 0.0886450i | ||||
\(442\) | 36.2866i | 0.0820964i | ||||||||
\(443\) | −201.332 | −0.454473 | −0.227236 | − | 0.973840i | \(-0.572969\pi\) | ||||
−0.227236 | + | 0.973840i | \(0.572969\pi\) | |||||||
\(444\) | 263.923 | + | 91.7885i | 0.594422 | + | 0.206731i | ||||
\(445\) | 396.648 | + | 17.5554i | 0.891343 | + | 0.0394503i | ||||
\(446\) | 36.7576i | 0.0824161i | ||||||||
\(447\) | 126.237 | + | 43.9033i | 0.282410 | + | 0.0982177i | ||||
\(448\) | − | 107.798i | − | 0.240620i | ||||||
\(449\) | 551.114i | 1.22743i | 0.789530 | + | 0.613713i | \(0.210325\pi\) | ||||
−0.789530 | + | 0.613713i | \(0.789675\pi\) | |||||||
\(450\) | 82.6358 | + | 78.2055i | 0.183635 | + | 0.173790i | ||||
\(451\) | 183.145 | 0.406087 | ||||||||
\(452\) | 85.2459 | 0.188597 | ||||||||
\(453\) | −194.938 | + | 560.515i | −0.430327 | + | 1.23734i | ||||
\(454\) | −49.0513 | −0.108042 | ||||||||
\(455\) | −1.91270 | + | 43.2157i | −0.00420374 | + | 0.0949796i | ||||
\(456\) | 16.8558 | − | 48.4663i | 0.0369645 | − | 0.106286i | ||||
\(457\) | 173.162i | 0.378909i | 0.981889 | + | 0.189455i | \(0.0606720\pi\) | ||||
−0.981889 | + | 0.189455i | \(0.939328\pi\) | |||||||
\(458\) | −7.70489 | −0.0168229 | ||||||||
\(459\) | −499.890 | + | 318.089i | −1.08909 | + | 0.693005i | ||||
\(460\) | −25.2363 | + | 570.190i | −0.0548615 | + | 1.23954i | ||||
\(461\) | 191.372i | 0.415124i | 0.978222 | + | 0.207562i | \(0.0665529\pi\) | ||||
−0.978222 | + | 0.207562i | \(0.933447\pi\) | |||||||
\(462\) | 17.6474 | − | 50.7423i | 0.0381978 | − | 0.109832i | ||||
\(463\) | − | 304.688i | − | 0.658073i | −0.944317 | − | 0.329037i | \(-0.893276\pi\) | ||
0.944317 | − | 0.329037i | \(-0.106724\pi\) | |||||||
\(464\) | 63.6982i | 0.137281i | ||||||||
\(465\) | −407.032 | − | 162.069i | −0.875338 | − | 0.348536i | ||||
\(466\) | 10.0845 | 0.0216406 | ||||||||
\(467\) | −490.114 | −1.04949 | −0.524747 | − | 0.851258i | \(-0.675840\pi\) | ||||
−0.524747 | + | 0.851258i | \(0.675840\pi\) | |||||||
\(468\) | −68.3776 | + | 86.4141i | −0.146106 | + | 0.184646i | ||||
\(469\) | 256.098 | 0.546051 | ||||||||
\(470\) | −8.42634 | + | 190.385i | −0.0179284 | + | 0.405075i | ||||
\(471\) | 549.023 | + | 190.942i | 1.16565 | + | 0.405397i | ||||
\(472\) | 239.867i | 0.508192i | ||||||||
\(473\) | 869.487 | 1.83824 | ||||||||
\(474\) | −29.8070 | + | 85.7054i | −0.0628840 | + | 0.180813i | ||||
\(475\) | 108.769 | + | 9.64697i | 0.228987 | + | 0.0203094i | ||||
\(476\) | − | 217.397i | − | 0.456716i | ||||||
\(477\) | −473.855 | − | 374.951i | −0.993408 | − | 0.786061i | ||||
\(478\) | − | 158.186i | − | 0.330933i | ||||||
\(479\) | 639.298i | 1.33465i | 0.744766 | + | 0.667325i | \(0.232561\pi\) | ||||
−0.744766 | + | 0.667325i | \(0.767439\pi\) | |||||||
\(480\) | −309.883 | − | 123.387i | −0.645590 | − | 0.257057i | ||||
\(481\) | 81.3444 | 0.169115 | ||||||||
\(482\) | 43.9524 | 0.0911876 | ||||||||
\(483\) | 228.550 | + | 79.4860i | 0.473188 | + | 0.164567i | ||||
\(484\) | 217.795 | 0.449989 | ||||||||
\(485\) | 518.455 | + | 22.9465i | 1.06898 | + | 0.0473124i | ||||
\(486\) | 122.230 | + | 12.5976i | 0.251501 | + | 0.0259211i | ||||
\(487\) | − | 423.604i | − | 0.869824i | −0.900473 | − | 0.434912i | \(-0.856780\pi\) | ||
0.900473 | − | 0.434912i | \(-0.143220\pi\) | |||||||
\(488\) | −183.522 | −0.376070 | ||||||||
\(489\) | 104.990 | + | 36.5140i | 0.214704 | + | 0.0746707i | ||||
\(490\) | −0.782553 | + | 17.6810i | −0.00159705 | + | 0.0360838i | ||||
\(491\) | 464.645i | 0.946324i | 0.880976 | + | 0.473162i | \(0.156887\pi\) | ||||
−0.880976 | + | 0.473162i | \(0.843113\pi\) | |||||||
\(492\) | −145.166 | − | 50.4865i | −0.295053 | − | 0.102615i | ||||
\(493\) | 107.552i | 0.218158i | ||||||||
\(494\) | − | 7.22234i | − | 0.0146201i | ||||||
\(495\) | 455.363 | + | 394.281i | 0.919926 | + | 0.796527i | ||||
\(496\) | 379.609 | 0.765340 | ||||||||
\(497\) | 286.333 | 0.576123 | ||||||||
\(498\) | −41.3126 | + | 118.788i | −0.0829571 | + | 0.238530i | ||||
\(499\) | −286.547 | −0.574243 | −0.287121 | − | 0.957894i | \(-0.592698\pi\) | ||||
−0.287121 | + | 0.957894i | \(0.592698\pi\) | |||||||
\(500\) | 61.9226 | − | 463.923i | 0.123845 | − | 0.927846i | ||||
\(501\) | −53.0927 | + | 152.660i | −0.105974 | + | 0.304710i | ||||
\(502\) | 121.172i | 0.241379i | ||||||||
\(503\) | −161.645 | −0.321362 | −0.160681 | − | 0.987006i | \(-0.551369\pi\) | ||||
−0.160681 | + | 0.987006i | \(0.551369\pi\) | |||||||
\(504\) | −57.8617 | + | 73.1244i | −0.114805 | + | 0.145088i | ||||
\(505\) | 254.391 | + | 11.2592i | 0.503744 | + | 0.0222954i | ||||
\(506\) | − | 206.347i | − | 0.407800i | ||||||
\(507\) | 156.005 | − | 448.567i | 0.307702 | − | 0.884748i | ||||
\(508\) | − | 234.013i | − | 0.460655i | ||||||
\(509\) | − | 267.397i | − | 0.525337i | −0.964886 | − | 0.262668i | \(-0.915397\pi\) | ||
0.964886 | − | 0.262668i | \(-0.0846026\pi\) | |||||||
\(510\) | −154.644 | − | 61.5752i | −0.303224 | − | 0.120736i | ||||
\(511\) | −134.216 | −0.262653 | ||||||||
\(512\) | 492.592 | 0.962094 | ||||||||
\(513\) | 99.4961 | − | 63.3112i | 0.193950 | − | 0.123414i | ||||
\(514\) | 98.8428 | 0.192301 | ||||||||
\(515\) | 236.512 | + | 10.4679i | 0.459246 | + | 0.0203260i | ||||
\(516\) | −689.179 | − | 239.686i | −1.33562 | − | 0.464508i | ||||
\(517\) | 1008.91i | 1.95147i | ||||||||
\(518\) | 33.2808 | 0.0642486 | ||||||||
\(519\) | 209.553 | − | 602.538i | 0.403764 | − | 1.16096i | ||||
\(520\) | −63.9647 | − | 2.83104i | −0.123009 | − | 0.00544430i | ||||
\(521\) | 214.253i | 0.411234i | 0.978633 | + | 0.205617i | \(0.0659201\pi\) | ||||
−0.978633 | + | 0.205617i | \(0.934080\pi\) | |||||||
\(522\) | 13.8403 | − | 17.4910i | 0.0265139 | − | 0.0335078i | ||||
\(523\) | − | 102.499i | − | 0.195983i | −0.995187 | − | 0.0979915i | \(-0.968758\pi\) | ||
0.995187 | − | 0.0979915i | \(-0.0312418\pi\) | |||||||
\(524\) | − | 484.071i | − | 0.923800i | ||||||
\(525\) | −180.929 | − | 81.4848i | −0.344626 | − | 0.155209i | ||||
\(526\) | −158.935 | −0.302158 | ||||||||
\(527\) | 640.954 | 1.21623 | ||||||||
\(528\) | −492.946 | − | 171.439i | −0.933609 | − | 0.324695i | ||||
\(529\) | 400.412 | 0.756923 | ||||||||
\(530\) | 7.50577 | − | 169.586i | 0.0141618 | − | 0.319973i | ||||
\(531\) | −342.072 | + | 432.304i | −0.644203 | + | 0.814131i | ||||
\(532\) | 43.2698i | 0.0813342i | ||||||||
\(533\) | −44.7419 | −0.0839436 | ||||||||
\(534\) | 113.776 | + | 39.5697i | 0.213064 | + | 0.0741005i | ||||
\(535\) | 23.3061 | − | 526.579i | 0.0435627 | − | 0.984259i | ||||
\(536\) | 379.056i | 0.707195i | ||||||||
\(537\) | −643.471 | − | 223.789i | −1.19827 | − | 0.416740i | ||||
\(538\) | − | 5.90828i | − | 0.0109819i | ||||||
\(539\) | 93.6973i | 0.173835i | ||||||||
\(540\) | −252.244 | − | 438.045i | −0.467119 | − | 0.811194i | ||||
\(541\) | −485.925 | −0.898198 | −0.449099 | − | 0.893482i | \(-0.648255\pi\) | ||||
−0.449099 | + | 0.893482i | \(0.648255\pi\) | |||||||
\(542\) | 200.697 | 0.370289 | ||||||||
\(543\) | −194.690 | + | 559.800i | −0.358545 | + | 1.03094i | ||||
\(544\) | 487.974 | 0.897010 | ||||||||
\(545\) | 29.6867 | − | 670.744i | 0.0544710 | − | 1.23072i | ||||
\(546\) | −4.31121 | + | 12.3962i | −0.00789600 | + | 0.0227037i | ||||
\(547\) | 220.793i | 0.403644i | 0.979422 | + | 0.201822i | \(0.0646862\pi\) | ||||
−0.979422 | + | 0.201822i | \(0.935314\pi\) | |||||||
\(548\) | 431.131 | 0.786735 | ||||||||
\(549\) | −330.756 | − | 261.720i | −0.602470 | − | 0.476721i | ||||
\(550\) | −14.9493 | + | 168.551i | −0.0271805 | + | 0.306457i | ||||
\(551\) | − | 21.4067i | − | 0.0388507i | ||||||
\(552\) | −117.649 | + | 338.282i | −0.213133 | + | 0.612829i | ||||
\(553\) | − | 158.258i | − | 0.286180i | ||||||
\(554\) | − | 235.411i | − | 0.424930i | ||||||
\(555\) | −138.034 | + | 346.669i | −0.248710 | + | 0.624629i | ||||
\(556\) | −987.815 | −1.77665 | ||||||||
\(557\) | 110.854 | 0.199020 | 0.0995102 | − | 0.995037i | \(-0.468272\pi\) | ||||
0.0995102 | + | 0.995037i | \(0.468272\pi\) | |||||||
\(558\) | −104.238 | − | 82.4809i | −0.186806 | − | 0.147815i | ||||
\(559\) | −212.413 | −0.379988 | ||||||||
\(560\) | 171.766 | + | 7.60225i | 0.306725 | + | 0.0135755i | ||||
\(561\) | −832.319 | − | 289.468i | −1.48364 | − | 0.515985i | ||||
\(562\) | − | 11.5487i | − | 0.0205493i | ||||||
\(563\) | 801.536 | 1.42369 | 0.711844 | − | 0.702338i | \(-0.247860\pi\) | ||||
0.711844 | + | 0.702338i | \(0.247860\pi\) | |||||||
\(564\) | 278.120 | − | 799.690i | 0.493120 | − | 1.41789i | ||||
\(565\) | −5.03331 | + | 113.723i | −0.00890851 | + | 0.201279i | ||||
\(566\) | − | 135.096i | − | 0.238685i | ||||||
\(567\) | −208.564 | + | 49.2735i | −0.367838 | + | 0.0869022i | ||||
\(568\) | 423.809i | 0.746142i | ||||||||
\(569\) | − | 943.932i | − | 1.65893i | −0.558557 | − | 0.829466i | \(-0.688645\pi\) | ||
0.558557 | − | 0.829466i | \(-0.311355\pi\) | |||||||
\(570\) | 30.7798 | + | 12.2557i | 0.0539996 | + | 0.0215012i | ||||
\(571\) | −7.63540 | −0.0133720 | −0.00668599 | − | 0.999978i | \(-0.502128\pi\) | ||||
−0.00668599 | + | 0.999978i | \(0.502128\pi\) | |||||||
\(572\) | −163.888 | −0.286518 | ||||||||
\(573\) | −373.311 | − | 129.832i | −0.651502 | − | 0.226582i | ||||
\(574\) | −18.3055 | −0.0318911 | ||||||||
\(575\) | −759.176 | − | 67.3333i | −1.32031 | − | 0.117101i | ||||
\(576\) | 287.559 | + | 227.539i | 0.499235 | + | 0.395033i | ||||
\(577\) | − | 182.959i | − | 0.317087i | −0.987352 | − | 0.158544i | \(-0.949320\pi\) | ||
0.987352 | − | 0.158544i | \(-0.0506798\pi\) | |||||||
\(578\) | 97.3807 | 0.168479 | ||||||||
\(579\) | 740.759 | + | 257.624i | 1.27938 | + | 0.444947i | ||||
\(580\) | −91.6643 | − | 4.05701i | −0.158042 | − | 0.00699484i | ||||
\(581\) | − | 219.346i | − | 0.377532i | ||||||
\(582\) | 148.716 | + | 51.7212i | 0.255526 | + | 0.0888680i | ||||
\(583\) | − | 898.687i | − | 1.54149i | ||||||
\(584\) | − | 198.656i | − | 0.340164i | ||||||
\(585\) | −111.244 | − | 96.3218i | −0.190161 | − | 0.164653i | ||||
\(586\) | −38.6816 | −0.0660095 | ||||||||
\(587\) | −169.335 | −0.288475 | −0.144237 | − | 0.989543i | \(-0.546073\pi\) | ||||
−0.144237 | + | 0.989543i | \(0.546073\pi\) | |||||||
\(588\) | 25.8289 | − | 74.2670i | 0.0439267 | − | 0.126304i | ||||
\(589\) | −127.573 | −0.216593 | ||||||||
\(590\) | −154.715 | − | 6.84760i | −0.262229 | − | 0.0116061i | ||||
\(591\) | 384.829 | − | 1106.52i | 0.651150 | − | 1.87228i | ||||
\(592\) | − | 323.313i | − | 0.546136i | ||||||
\(593\) | −435.205 | −0.733904 | −0.366952 | − | 0.930240i | \(-0.619599\pi\) | ||||
−0.366952 | + | 0.930240i | \(0.619599\pi\) | |||||||
\(594\) | 98.1091 | + | 154.182i | 0.165167 | + | 0.259566i | ||||
\(595\) | 290.020 | + | 12.8361i | 0.487428 | + | 0.0215733i | ||||
\(596\) | − | 166.813i | − | 0.279888i | ||||||
\(597\) | −139.819 | + | 402.029i | −0.234203 | + | 0.673415i | ||||
\(598\) | 50.4100i | 0.0842977i | ||||||||
\(599\) | 519.702i | 0.867615i | 0.901006 | + | 0.433808i | \(0.142830\pi\) | ||||
−0.901006 | + | 0.433808i | \(0.857170\pi\) | |||||||
\(600\) | 120.608 | − | 267.797i | 0.201013 | − | 0.446328i | ||||
\(601\) | −804.056 | −1.33786 | −0.668932 | − | 0.743324i | \(-0.733248\pi\) | ||||
−0.668932 | + | 0.743324i | \(0.733248\pi\) | |||||||
\(602\) | −86.9057 | −0.144362 | ||||||||
\(603\) | −540.570 | + | 683.161i | −0.896467 | + | 1.13294i | ||||
\(604\) | 740.679 | 1.22629 | ||||||||
\(605\) | −12.8596 | + | 290.551i | −0.0212555 | + | 0.480249i | ||||
\(606\) | 72.9706 | + | 25.3781i | 0.120414 | + | 0.0418780i | ||||
\(607\) | 629.795i | 1.03755i | 0.854910 | + | 0.518777i | \(0.173613\pi\) | ||||
−0.854910 | + | 0.518777i | \(0.826387\pi\) | |||||||
\(608\) | −97.1243 | −0.159744 | ||||||||
\(609\) | −12.7782 | + | 36.7419i | −0.0209823 | + | 0.0603315i | ||||
\(610\) | 5.23911 | − | 118.373i | 0.00858870 | − | 0.194054i | ||||
\(611\) | − | 246.474i | − | 0.403395i | ||||||
\(612\) | 579.923 | + | 458.880i | 0.947587 | + | 0.749804i | ||||
\(613\) | 155.397i | 0.253502i | 0.991935 | + | 0.126751i | \(0.0404549\pi\) | ||||
−0.991935 | + | 0.126751i | \(0.959545\pi\) | |||||||
\(614\) | 217.839i | 0.354787i | ||||||||
\(615\) | 75.9231 | − | 190.679i | 0.123452 | − | 0.310047i | ||||
\(616\) | −138.684 | −0.225136 | ||||||||
\(617\) | 220.169 | 0.356838 | 0.178419 | − | 0.983955i | \(-0.442902\pi\) | ||||
0.178419 | + | 0.983955i | \(0.442902\pi\) | |||||||
\(618\) | 67.8422 | + | 23.5945i | 0.109777 | + | 0.0381788i | ||||
\(619\) | 286.630 | 0.463053 | 0.231526 | − | 0.972829i | \(-0.425628\pi\) | ||||
0.231526 | + | 0.972829i | \(0.425628\pi\) | |||||||
\(620\) | −24.1777 | + | 546.272i | −0.0389963 | + | 0.881085i | ||||
\(621\) | −694.457 | + | 441.895i | −1.11829 | + | 0.711587i | ||||
\(622\) | − | 277.255i | − | 0.445747i | ||||||
\(623\) | −210.092 | −0.337226 | ||||||||
\(624\) | 120.425 | + | 41.8821i | 0.192989 | + | 0.0671187i | ||||
\(625\) | 615.244 | + | 110.000i | 0.984390 | + | 0.176001i | ||||
\(626\) | 134.253i | 0.214462i | ||||||||
\(627\) | 165.661 | + | 57.6145i | 0.264213 | + | 0.0918892i | ||||
\(628\) | − | 725.494i | − | 1.15525i | ||||||
\(629\) | − | 545.900i | − | 0.867886i | ||||||
\(630\) | −45.5138 | − | 39.4086i | −0.0722441 | − | 0.0625533i | ||||
\(631\) | 152.418 | 0.241549 | 0.120775 | − | 0.992680i | \(-0.461462\pi\) | ||||
0.120775 | + | 0.992680i | \(0.461462\pi\) | |||||||
\(632\) | 234.241 | 0.370634 | ||||||||
\(633\) | −113.917 | + | 327.551i | −0.179964 | + | 0.517458i | ||||
\(634\) | −21.8863 | −0.0345209 | ||||||||
\(635\) | 312.186 | + | 13.8172i | 0.491632 | + | 0.0217593i | ||||
\(636\) | −247.735 | + | 712.324i | −0.389521 | + | 1.12001i | ||||
\(637\) | − | 22.8900i | − | 0.0359341i | ||||||
\(638\) | 33.1725 | 0.0519946 | ||||||||
\(639\) | −604.391 | + | 763.817i | −0.945839 | + | 1.19533i | ||||
\(640\) | −24.2189 | + | 547.205i | −0.0378421 | + | 0.855007i | ||||
\(641\) | 151.830i | 0.236864i | 0.992962 | + | 0.118432i | \(0.0377867\pi\) | ||||
−0.992962 | + | 0.118432i | \(0.962213\pi\) | |||||||
\(642\) | 52.5316 | − | 151.046i | 0.0818250 | − | 0.235275i | ||||
\(643\) | − | 853.138i | − | 1.32681i | −0.748261 | − | 0.663404i | \(-0.769111\pi\) | ||
0.748261 | − | 0.663404i | \(-0.230889\pi\) | |||||||
\(644\) | − | 302.012i | − | 0.468962i | ||||||
\(645\) | 360.447 | − | 905.252i | 0.558832 | − | 1.40349i | ||||
\(646\) | −48.4690 | −0.0750294 | ||||||||
\(647\) | 483.979 | 0.748035 | 0.374017 | − | 0.927422i | \(-0.377980\pi\) | ||||
0.374017 | + | 0.927422i | \(0.377980\pi\) | |||||||
\(648\) | −72.9310 | − | 308.701i | −0.112548 | − | 0.476391i | ||||
\(649\) | −819.883 | −1.26330 | ||||||||
\(650\) | 3.65207 | − | 41.1767i | 0.00561856 | − | 0.0633487i | ||||
\(651\) | 218.963 | + | 76.1518i | 0.336348 | + | 0.116977i | ||||
\(652\) | − | 138.737i | − | 0.212787i | ||||||
\(653\) | −270.349 | −0.414010 | −0.207005 | − | 0.978340i | \(-0.566372\pi\) | ||||
−0.207005 | + | 0.978340i | \(0.566372\pi\) | |||||||
\(654\) | 66.9136 | − | 192.399i | 0.102314 | − | 0.294189i | ||||
\(655\) | 645.778 | + | 28.5818i | 0.985921 | + | 0.0436363i | ||||
\(656\) | 177.832i | 0.271085i | ||||||||
\(657\) | 283.302 | − | 358.031i | 0.431205 | − | 0.544948i | ||||
\(658\) | − | 100.841i | − | 0.153254i | ||||||
\(659\) | 853.530i | 1.29519i | 0.761985 | + | 0.647594i | \(0.224225\pi\) | ||||
−0.761985 | + | 0.647594i | \(0.775775\pi\) | |||||||
\(660\) | 278.104 | − | 698.450i | 0.421369 | − | 1.05826i | ||||
\(661\) | −541.060 | −0.818548 | −0.409274 | − | 0.912412i | \(-0.634218\pi\) | ||||
−0.409274 | + | 0.912412i | \(0.634218\pi\) | |||||||
\(662\) | 57.1941 | 0.0863960 | ||||||||
\(663\) | 203.333 | + | 70.7162i | 0.306687 | + | 0.106661i | ||||
\(664\) | 324.659 | 0.488944 | ||||||||
\(665\) | −57.7244 | − | 2.55485i | −0.0868036 | − | 0.00384187i | ||||
\(666\) | −70.2489 | + | 88.7791i | −0.105479 | + | 0.133302i | ||||
\(667\) | 149.413i | 0.224008i | ||||||||
\(668\) | 201.729 | 0.301989 | ||||||||
\(669\) | 205.973 | + | 71.6341i | 0.307881 | + | 0.107076i | ||||
\(670\) | −244.493 | − | 10.8211i | −0.364915 | − | 0.0161509i | ||||
\(671\) | − | 627.294i | − | 0.934864i | ||||||
\(672\) | 166.701 | + | 57.9762i | 0.248068 | + | 0.0862741i | ||||
\(673\) | 688.054i | 1.02237i | 0.859471 | + | 0.511184i | \(0.170793\pi\) | ||||
−0.859471 | + | 0.511184i | \(0.829207\pi\) | |||||||
\(674\) | 251.639i | 0.373351i | ||||||||
\(675\) | 599.271 | − | 310.644i | 0.887808 | − | 0.460214i | ||||
\(676\) | −592.749 | −0.876848 | ||||||||
\(677\) | 429.973 | 0.635116 | 0.317558 | − | 0.948239i | \(-0.397137\pi\) | ||||
0.317558 | + | 0.948239i | \(0.397137\pi\) | |||||||
\(678\) | −11.3450 | + | 32.6208i | −0.0167331 | + | 0.0481133i | ||||
\(679\) | −274.609 | −0.404432 | ||||||||
\(680\) | −18.9990 | + | 429.265i | −0.0279397 | + | 0.631272i | ||||
\(681\) | −95.5923 | + | 274.861i | −0.140370 | + | 0.403613i | ||||
\(682\) | − | 197.691i | − | 0.289870i | ||||||
\(683\) | −530.037 | −0.776042 | −0.388021 | − | 0.921650i | \(-0.626841\pi\) | ||||
−0.388021 | + | 0.921650i | \(0.626841\pi\) | |||||||
\(684\) | −115.426 | − | 91.3337i | −0.168751 | − | 0.133529i | ||||
\(685\) | −25.4559 | + | 575.153i | −0.0371620 | + | 0.839640i | ||||
\(686\) | − | 9.36509i | − | 0.0136517i | ||||||
\(687\) | −15.0155 | + | 43.1746i | −0.0218566 | + | 0.0628452i | ||||
\(688\) | 844.261i | 1.22712i | ||||||||
\(689\) | 219.547i | 0.318646i | ||||||||
\(690\) | −214.835 | − | 85.5414i | −0.311355 | − | 0.123973i | ||||
\(691\) | 1231.27 | 1.78187 | 0.890936 | − | 0.454129i | \(-0.150049\pi\) | ||||
0.890936 | + | 0.454129i | \(0.150049\pi\) | |||||||
\(692\) | −796.210 | −1.15059 | ||||||||
\(693\) | −249.945 | − | 197.776i | −0.360671 | − | 0.285391i | ||||
\(694\) | −260.650 | −0.375576 | ||||||||
\(695\) | 58.3251 | − | 1317.80i | 0.0839210 | − | 1.89612i | ||||
\(696\) | −54.3825 | − | 18.9134i | −0.0781358 | − | 0.0271744i | ||||
\(697\) | 300.262i | 0.430792i | ||||||||
\(698\) | −175.132 | −0.250905 | ||||||||
\(699\) | 19.6529 | − | 56.5089i | 0.0281158 | − | 0.0808425i | ||||
\(700\) | −21.8799 | + | 246.694i | −0.0312570 | + | 0.352420i | ||||
\(701\) | 511.428i | 0.729570i | 0.931092 | + | 0.364785i | \(0.118857\pi\) | ||||
−0.931092 | + | 0.364785i | \(0.881143\pi\) | |||||||
\(702\) | −23.9678 | − | 37.6664i | −0.0341422 | − | 0.0536558i | ||||
\(703\) | 108.654i | 0.154557i | ||||||||
\(704\) | 545.369i | 0.774672i | ||||||||
\(705\) | 1050.41 | + | 418.245i | 1.48994 | + | 0.593255i | ||||
\(706\) | −87.0000 | −0.123229 | ||||||||
\(707\) | −134.743 | −0.190584 | ||||||||
\(708\) | 649.861 | + | 226.012i | 0.917883 | + | 0.319226i | ||||
\(709\) | −33.6210 | −0.0474203 | −0.0237102 | − | 0.999719i | \(-0.507548\pi\) | ||||
−0.0237102 | + | 0.999719i | \(0.507548\pi\) | |||||||
\(710\) | −273.359 | − | 12.0987i | −0.385012 | − | 0.0170404i | ||||
\(711\) | 422.165 | + | 334.049i | 0.593762 | + | 0.469830i | ||||
\(712\) | − | 310.962i | − | 0.436744i | ||||||
\(713\) | 890.426 | 1.24884 | ||||||||
\(714\) | 83.1907 | + | 28.9324i | 0.116514 | + | 0.0405216i | ||||
\(715\) | 9.67671 | − | 218.636i | 0.0135339 | − | 0.305785i | ||||
\(716\) | 850.300i | 1.18757i | ||||||||
\(717\) | −886.401 | − | 308.277i | −1.23626 | − | 0.429953i | ||||
\(718\) | 9.50135i | 0.0132331i | ||||||||
\(719\) | − | 366.444i | − | 0.509658i | −0.966986 | − | 0.254829i | \(-0.917981\pi\) | ||
0.966986 | − | 0.254829i | \(-0.0820191\pi\) | |||||||
\(720\) | −382.842 | + | 442.152i | −0.531725 | + | 0.614100i | ||||
\(721\) | −125.273 | −0.173749 | ||||||||
\(722\) | −172.899 | −0.239472 | ||||||||
\(723\) | 85.6555 | − | 246.289i | 0.118472 | − | 0.340649i | ||||
\(724\) | 739.735 | 1.02173 | ||||||||
\(725\) | 10.8246 | − | 122.046i | 0.0149304 | − | 0.168339i | ||||
\(726\) | −28.9854 | + | 83.3430i | −0.0399248 | + | 0.114797i | ||||
\(727\) | − | 400.035i | − | 0.550255i | −0.961408 | − | 0.275128i | \(-0.911280\pi\) | ||
0.961408 | − | 0.275128i | \(-0.0887201\pi\) | |||||||
\(728\) | 33.8801 | 0.0465385 | ||||||||
\(729\) | 308.796 | − | 660.368i | 0.423588 | − | 0.905855i | ||||
\(730\) | 128.134 | + | 5.67114i | 0.175526 | + | 0.00776868i | ||||
\(731\) | 1425.50i | 1.95007i | ||||||||
\(732\) | −172.922 | + | 497.210i | −0.236232 | + | 0.679249i | ||||
\(733\) | − | 315.918i | − | 0.430993i | −0.976505 | − | 0.215497i | \(-0.930863\pi\) | ||
0.976505 | − | 0.215497i | \(-0.0691370\pi\) | |||||||
\(734\) | 195.510i | 0.266363i | ||||||||
\(735\) | 97.5514 | + | 38.8423i | 0.132723 | + | 0.0528467i | ||||
\(736\) | 677.902 | 0.921063 | ||||||||
\(737\) | −1295.64 | −1.75800 | ||||||||
\(738\) | 38.6391 | − | 48.8313i | 0.0523565 | − | 0.0661671i | ||||
\(739\) | −22.7831 | −0.0308296 | −0.0154148 | − | 0.999881i | \(-0.504907\pi\) | ||||
−0.0154148 | + | 0.999881i | \(0.504907\pi\) | |||||||
\(740\) | 465.260 | + | 20.5921i | 0.628729 | + | 0.0278272i | ||||
\(741\) | −40.4707 | − | 14.0751i | −0.0546163 | − | 0.0189947i | ||||
\(742\) | 89.8242i | 0.121057i | ||||||||
\(743\) | 369.322 | 0.497069 | 0.248534 | − | 0.968623i | \(-0.420051\pi\) | ||||
0.248534 | + | 0.968623i | \(0.420051\pi\) | |||||||
\(744\) | −112.714 | + | 324.092i | −0.151497 | + | 0.435607i | ||||
\(745\) | 222.538 | + | 9.84941i | 0.298709 | + | 0.0132207i | ||||
\(746\) | − | 125.308i | − | 0.167974i | ||||||
\(747\) | 585.122 | + | 462.994i | 0.783296 | + | 0.619805i | ||||
\(748\) | 1099.85i | 1.47039i | ||||||||
\(749\) | 278.912i | 0.372379i | ||||||||
\(750\) | 169.287 | + | 85.4374i | 0.225716 | + | 0.113917i | ||||
\(751\) | 69.7646 | 0.0928956 | 0.0464478 | − | 0.998921i | \(-0.485210\pi\) | ||||
0.0464478 | + | 0.998921i | \(0.485210\pi\) | |||||||
\(752\) | −979.639 | −1.30271 | ||||||||
\(753\) | 678.994 | + | 236.144i | 0.901718 | + | 0.313604i | ||||
\(754\) | −8.10396 | −0.0107480 | ||||||||
\(755\) | −43.7331 | + | 988.108i | −0.0579246 | + | 1.30875i | ||||
\(756\) | 143.594 | + | 225.663i | 0.189939 | + | 0.298496i | ||||
\(757\) | − | 1079.71i | − | 1.42630i | −0.701010 | − | 0.713152i | \(-0.747267\pi\) | ||
0.701010 | − | 0.713152i | \(-0.252733\pi\) | |||||||
\(758\) | 63.6790 | 0.0840092 | ||||||||
\(759\) | −1156.27 | − | 402.134i | −1.52342 | − | 0.529821i | ||||
\(760\) | 3.78149 | − | 85.4392i | 0.00497565 | − | 0.112420i | ||||
\(761\) | − | 949.374i | − | 1.24753i | −0.781610 | − | 0.623767i | \(-0.785601\pi\) | ||
0.781610 | − | 0.623767i | \(-0.214399\pi\) | |||||||
\(762\) | 89.5491 | + | 31.1438i | 0.117518 | + | 0.0408711i | ||||
\(763\) | 355.272i | 0.465625i | ||||||||
\(764\) | 493.303i | 0.645685i | ||||||||
\(765\) | −646.414 | + | 746.556i | −0.844985 | + | 0.975890i | ||||
\(766\) | −125.338 | −0.163626 | ||||||||
\(767\) | 200.295 | 0.261141 | ||||||||
\(768\) | 106.016 | − | 304.831i | 0.138041 | − | 0.396916i | ||||
\(769\) | 181.128 | 0.235537 | 0.117769 | − | 0.993041i | \(-0.462426\pi\) | ||||
0.117769 | + | 0.993041i | \(0.462426\pi\) | |||||||
\(770\) | 3.95907 | − | 89.4516i | 0.00514165 | − | 0.116171i | ||||
\(771\) | 192.627 | − | 553.870i | 0.249841 | − | 0.718378i | ||||
\(772\) | − | 978.859i | − | 1.26795i | ||||||
\(773\) | −1300.73 | −1.68271 | −0.841354 | − | 0.540484i | \(-0.818241\pi\) | ||||
−0.841354 | + | 0.540484i | \(0.818241\pi\) | |||||||
\(774\) | 183.440 | − | 231.828i | 0.237003 | − | 0.299519i | ||||
\(775\) | −727.331 | − | 64.5088i | −0.938492 | − | 0.0832372i | ||||
\(776\) | − | 406.456i | − | 0.523783i | ||||||
\(777\) | 64.8584 | − | 186.490i | 0.0834729 | − | 0.240013i | ||||
\(778\) | − | 158.657i | − | 0.203929i | ||||||
\(779\) | − | 59.7630i | − | 0.0767176i | ||||||
\(780\) | −67.9400 | + | 170.629i | −0.0871026 | + | 0.218756i | ||||
\(781\) | −1448.61 | −1.85482 | ||||||||
\(782\) | 338.301 | 0.432609 | ||||||||
\(783\) | −71.0395 | − | 111.641i | −0.0907274 | − | 0.142582i | ||||
\(784\) | −90.9789 | −0.116045 | ||||||||
\(785\) | 967.851 | + | 42.8365i | 1.23293 | + | 0.0545688i | ||||
\(786\) | 185.238 | + | 64.4230i | 0.235672 | + | 0.0819631i | ||||
\(787\) | 320.350i | 0.407052i | 0.979070 | + | 0.203526i | \(0.0652401\pi\) | ||||
−0.979070 | + | 0.203526i | \(0.934760\pi\) | |||||||
\(788\) | −1462.18 | −1.85556 | ||||||||
\(789\) | −309.737 | + | 890.600i | −0.392569 | + | 1.12877i | ||||
\(790\) | −6.68700 | + | 151.086i | −0.00846456 | + | 0.191249i | ||||
\(791\) | − | 60.2354i | − | 0.0761510i | ||||||
\(792\) | 292.733 | − | 369.949i | 0.369612 | − | 0.467108i | ||||
\(793\) | 153.246i | 0.193249i | ||||||||
\(794\) | − | 83.7564i | − | 0.105487i | ||||||
\(795\) | −935.653 | − | 372.552i | −1.17692 | − | 0.468619i | ||||
\(796\) | 531.252 | 0.667402 | ||||||||
\(797\) | 1111.52 | 1.39464 | 0.697318 | − | 0.716762i | \(-0.254377\pi\) | ||||
0.697318 | + | 0.716762i | \(0.254377\pi\) | |||||||
\(798\) | −16.5579 | − | 5.75860i | −0.0207493 | − | 0.00721629i | ||||
\(799\) | −1654.08 | −2.07019 | ||||||||
\(800\) | −553.734 | − | 49.1121i | −0.692168 | − | 0.0613901i | ||||
\(801\) | 443.460 | − | 560.436i | 0.553633 | − | 0.699670i | ||||
\(802\) | 141.415i | 0.176327i | ||||||||
\(803\) | 679.022 | 0.845606 | ||||||||
\(804\) | 1026.96 | + | 357.162i | 1.27732 | + | 0.444231i | ||||
\(805\) | 402.901 | + | 17.8322i | 0.500498 | + | 0.0221517i | ||||
\(806\) | 48.2955i | 0.0599199i | ||||||||
\(807\) | −33.1072 | − | 11.5142i | −0.0410251 | − | 0.0142679i | ||||
\(808\) | − | 199.436i | − | 0.246826i | ||||||
\(809\) | − | 1116.08i | − | 1.37958i | −0.724011 | − | 0.689789i | \(-0.757703\pi\) | ||
0.724011 | − | 0.689789i | \(-0.242297\pi\) | |||||||
\(810\) | 201.196 | − | 38.2282i | 0.248390 | − | 0.0471952i | ||||
\(811\) | 503.412 | 0.620730 | 0.310365 | − | 0.950617i | \(-0.399549\pi\) | ||||
0.310365 | + | 0.950617i | \(0.399549\pi\) | |||||||
\(812\) | 48.5517 | 0.0597927 | ||||||||
\(813\) | 391.123 | − | 1124.61i | 0.481086 | − | 1.38329i | ||||
\(814\) | −168.374 | −0.206847 | ||||||||
\(815\) | 185.083 | + | 8.19166i | 0.227096 | + | 0.0100511i | ||||
\(816\) | 281.070 | − | 808.172i | 0.344448 | − | 0.990406i | ||||
\(817\) | − | 283.726i | − | 0.347278i | ||||||
\(818\) | −148.864 | −0.181986 | ||||||||
\(819\) | 61.0609 | + | 48.3161i | 0.0745554 | + | 0.0589940i | ||||
\(820\) | −255.907 | − | 11.3263i | −0.312082 | − | 0.0138126i | ||||
\(821\) | − | 958.269i | − | 1.16720i | −0.812042 | − | 0.583599i | \(-0.801644\pi\) | ||
0.812042 | − | 0.583599i | \(-0.198356\pi\) | |||||||
\(822\) | −57.3774 | + | 164.980i | −0.0698022 | + | 0.200705i | ||||
\(823\) | − | 566.080i | − | 0.687825i | −0.939002 | − | 0.343913i | \(-0.888248\pi\) | ||
0.939002 | − | 0.343913i | \(-0.111752\pi\) | |||||||
\(824\) | − | 185.419i | − | 0.225023i | ||||||
\(825\) | 915.351 | + | 412.246i | 1.10952 | + | 0.499692i | ||||
\(826\) | 81.9477 | 0.0992102 | ||||||||
\(827\) | −747.453 | −0.903813 | −0.451906 | − | 0.892065i | \(-0.649256\pi\) | ||||
−0.451906 | + | 0.892065i | \(0.649256\pi\) | |||||||
\(828\) | 805.640 | + | 637.485i | 0.972995 | + | 0.769909i | ||||
\(829\) | 1574.43 | 1.89919 | 0.949597 | − | 0.313475i | \(-0.101493\pi\) | ||||
0.949597 | + | 0.313475i | \(0.101493\pi\) | |||||||
\(830\) | −9.26821 | + | 209.407i | −0.0111665 | + | 0.252297i | ||||
\(831\) | −1319.14 | − | 458.775i | −1.58741 | − | 0.552076i | ||||
\(832\) | − | 133.232i | − | 0.160135i | ||||||
\(833\) | −153.614 | −0.184411 | ||||||||
\(834\) | 131.464 | − | 378.005i | 0.157631 | − | 0.453243i | ||||
\(835\) | −11.9110 | + | 269.118i | −0.0142647 | + | 0.322297i | ||||
\(836\) | − | 218.910i | − | 0.261854i | ||||||
\(837\) | −665.326 | + | 423.359i | −0.794894 | + | 0.505805i | ||||
\(838\) | 306.222i | 0.365420i | ||||||||
\(839\) | − | 1460.41i | − | 1.74065i | −0.492475 | − | 0.870326i | \(-0.663908\pi\) | ||
0.492475 | − | 0.870326i | \(-0.336092\pi\) | |||||||
\(840\) | −57.4915 | + | 144.388i | −0.0684422 | + | 0.171891i | ||||
\(841\) | 816.980 | 0.971439 | ||||||||
\(842\) | 92.1708 | 0.109467 | ||||||||
\(843\) | −64.7135 | − | 22.5064i | −0.0767657 | − | 0.0266979i | ||||
\(844\) | 432.835 | 0.512838 | ||||||||
\(845\) | 34.9986 | − | 790.761i | 0.0414185 | − | 0.935812i | ||||
\(846\) | 269.001 | + | 212.855i | 0.317969 | + | 0.251601i | ||||
\(847\) | − | 153.895i | − | 0.181695i | ||||||
\(848\) | 872.614 | 1.02903 | ||||||||
\(849\) | −757.014 | − | 263.278i | −0.891654 | − | 0.310103i | ||||
\(850\) | −276.336 | − | 24.5089i | −0.325101 | − | 0.0288340i | ||||
\(851\) | − | 758.375i | − | 0.891157i | ||||||
\(852\) | 1148.21 | + | 399.329i | 1.34766 | + | 0.468696i | ||||
\(853\) | − | 73.4996i | − | 0.0861660i | −0.999071 | − | 0.0430830i | \(-0.986282\pi\) | ||
0.999071 | − | 0.0430830i | \(-0.0137180\pi\) | |||||||
\(854\) | 62.6983i | 0.0734172i | ||||||||
\(855\) | 128.660 | − | 148.592i | 0.150479 | − | 0.173791i | ||||
\(856\) | −412.825 | −0.482272 | ||||||||
\(857\) | −713.562 | −0.832627 | −0.416314 | − | 0.909221i | \(-0.636678\pi\) | ||||
−0.416314 | + | 0.909221i | \(0.636678\pi\) | |||||||
\(858\) | 21.8112 | − | 62.7147i | 0.0254210 | − | 0.0730940i | ||||
\(859\) | −416.180 | −0.484493 | −0.242247 | − | 0.970215i | \(-0.577884\pi\) | ||||
−0.242247 | + | 0.970215i | \(0.577884\pi\) | |||||||
\(860\) | −1214.93 | − | 53.7719i | −1.41270 | − | 0.0625255i | ||||
\(861\) | −35.6742 | + | 102.575i | −0.0414334 | + | 0.119135i | ||||
\(862\) | − | 197.790i | − | 0.229454i | ||||||
\(863\) | −1163.66 | −1.34839 | −0.674197 | − | 0.738552i | \(-0.735510\pi\) | ||||
−0.674197 | + | 0.738552i | \(0.735510\pi\) | |||||||
\(864\) | −506.528 | + | 322.313i | −0.586260 | + | 0.373048i | ||||
\(865\) | 47.0119 | − | 1062.19i | 0.0543490 | − | 1.22797i | ||||
\(866\) | − | 243.902i | − | 0.281642i | ||||||
\(867\) | 189.778 | − | 545.677i | 0.218890 | − | 0.629385i | ||||
\(868\) | − | 289.343i | − | 0.333345i | ||||||
\(869\) | 800.654i | 0.921351i | ||||||||
\(870\) | 13.7517 | − | 34.5370i | 0.0158066 | − | 0.0396977i | ||||
\(871\) | 316.522 | 0.363401 | ||||||||
\(872\) | −525.846 | −0.603035 | ||||||||
\(873\) | 579.643 | − | 732.541i | 0.663967 | − | 0.839108i | ||||
\(874\) | −67.3340 | −0.0770412 | ||||||||
\(875\) | −327.812 | − | 43.7550i | −0.374642 | − | 0.0500057i | ||||
\(876\) | −538.211 | − | 187.181i | −0.614396 | − | 0.213677i | ||||
\(877\) | 1584.74i | 1.80700i | 0.428590 | + | 0.903499i | \(0.359011\pi\) | ||||
−0.428590 | + | 0.903499i | \(0.640989\pi\) | |||||||
\(878\) | −145.938 | −0.166216 | ||||||||
\(879\) | −75.3836 | + | 216.754i | −0.0857606 | + | 0.246591i | ||||
\(880\) | −868.994 | − | 38.4612i | −0.987493 | − | 0.0437059i | ||||
\(881\) | 1264.13i | 1.43488i | 0.696620 | + | 0.717440i | \(0.254686\pi\) | ||||
−0.696620 | + | 0.717440i | \(0.745314\pi\) | |||||||
\(882\) | 24.9821 | + | 19.7678i | 0.0283244 | + | 0.0224125i | ||||
\(883\) | − | 187.970i | − | 0.212877i | −0.994319 | − | 0.106439i | \(-0.966055\pi\) | ||
0.994319 | − | 0.106439i | \(-0.0339447\pi\) | |||||||
\(884\) | − | 268.690i | − | 0.303948i | ||||||
\(885\) | −339.883 | + | 853.607i | −0.384049 | + | 0.964528i | ||||
\(886\) | −101.807 | −0.114906 | ||||||||
\(887\) | 594.855 | 0.670637 | 0.335318 | − | 0.942105i | \(-0.391156\pi\) | ||||
0.335318 | + | 0.942105i | \(0.391156\pi\) | |||||||
\(888\) | 276.029 | + | 95.9985i | 0.310843 | + | 0.108106i | ||||
\(889\) | −165.355 | −0.186001 | ||||||||
\(890\) | 200.572 | + | 8.87719i | 0.225362 | + | 0.00997437i | ||||
\(891\) | 1055.16 | − | 249.284i | 1.18425 | − | 0.279780i | ||||
\(892\) | − | 272.178i | − | 0.305132i | ||||||
\(893\) | 329.222 | 0.368669 | ||||||||
\(894\) | 63.8340 | + | 22.2005i | 0.0714027 | + | 0.0248327i | ||||
\(895\) | −1134.35 | − | 50.2056i | −1.26743 | − | 0.0560957i | ||||
\(896\) | − | 289.837i | − | 0.323479i | ||||||
\(897\) | 282.475 | + | 98.2403i | 0.314910 | + | 0.109521i | ||||
\(898\) | 278.680i | 0.310334i | ||||||||
\(899\) | 143.146i | 0.159228i | ||||||||
\(900\) | −611.891 | − | 579.086i | −0.679879 | − | 0.643429i | ||||
\(901\) | 1473.37 | 1.63527 | ||||||||
\(902\) | 92.6107 | 0.102673 | ||||||||
\(903\) | −169.364 | + | 486.979i | −0.187557 | + | 0.539290i | ||||
\(904\) | 89.1559 | 0.0986238 | ||||||||
\(905\) | −43.6773 | + | 986.848i | −0.0482622 | + | 1.09044i | ||||
\(906\) | −98.5740 | + | 283.434i | −0.108801 | + | 0.312841i | ||||
\(907\) | 1551.71i | 1.71082i | 0.517956 | + | 0.855408i | \(0.326693\pi\) | ||||
−0.517956 | + | 0.855408i | \(0.673307\pi\) | |||||||
\(908\) | 363.208 | 0.400009 | ||||||||
\(909\) | 284.414 | − | 359.436i | 0.312887 | − | 0.395420i | ||||
\(910\) | −0.967192 | + | 21.8528i | −0.00106285 | + | 0.0240141i | ||||
\(911\) | 291.382i | 0.319848i | 0.987129 | + | 0.159924i | \(0.0511250\pi\) | ||||
−0.987129 | + | 0.159924i | \(0.948875\pi\) | |||||||
\(912\) | −55.9430 | + | 160.855i | −0.0613410 | + | 0.176376i | ||||
\(913\) | 1109.71i | 1.21545i | ||||||||
\(914\) | 87.5622i | 0.0958010i | ||||||||
\(915\) | −653.096 | − | 260.045i | −0.713767 | − | 0.284203i | ||||
\(916\) | 57.0521 | 0.0622840 | ||||||||
\(917\) | −342.048 | −0.373008 | ||||||||
\(918\) | −252.778 | + | 160.847i | −0.275357 | + | 0.175215i | ||||
\(919\) | −325.437 | −0.354121 | −0.177060 | − | 0.984200i | \(-0.556659\pi\) | ||||
−0.177060 | + | 0.984200i | \(0.556659\pi\) | |||||||
\(920\) | −26.3938 | + | 596.343i | −0.0286889 | + | 0.648199i | ||||
\(921\) | 1220.67 | + | 424.530i | 1.32537 | + | 0.460945i | ||||
\(922\) | 96.7708i | 0.104957i | ||||||||
\(923\) | 353.892 | 0.383415 | ||||||||
\(924\) | −130.673 | + | 375.730i | −0.141421 | + | 0.406634i | ||||
\(925\) | −54.9421 | + | 619.467i | −0.0593969 | + | 0.669694i | ||||
\(926\) | − | 154.071i | − | 0.166383i | ||||||
\(927\) | 264.425 | − | 334.175i | 0.285248 | − | 0.360491i | ||||
\(928\) | 108.980i | 0.117436i | ||||||||
\(929\) | 209.216i | 0.225205i | 0.993640 | + | 0.112603i | \(0.0359187\pi\) | ||||
−0.993640 | + | 0.112603i | \(0.964081\pi\) | |||||||
\(930\) | −205.823 | − | 81.9532i | −0.221315 | − | 0.0881217i | ||||
\(931\) | 30.5748 | 0.0328408 | ||||||||
\(932\) | −74.6724 | −0.0801206 | ||||||||
\(933\) | −1553.61 | − | 540.321i | −1.66517 | − | 0.579122i | ||||
\(934\) | −247.834 | −0.265347 | ||||||||
\(935\) | −1467.26 | − | 64.9401i | −1.56926 | − | 0.0694547i | ||||
\(936\) | −71.5138 | + | 90.3777i | −0.0764037 | + | 0.0965574i | ||||
\(937\) | − | 1312.63i | − | 1.40089i | −0.713707 | − | 0.700444i | \(-0.752985\pi\) | ||
0.713707 | − | 0.700444i | \(-0.247015\pi\) | |||||||
\(938\) | 129.500 | 0.138060 | ||||||||
\(939\) | 752.294 | + | 261.636i | 0.801165 | + | 0.278633i | ||||
\(940\) | 62.3943 | − | 1409.74i | 0.0663769 | − | 1.49972i | ||||
\(941\) | − | 693.569i | − | 0.737055i | −0.929617 | − | 0.368528i | \(-0.879862\pi\) | ||
0.929617 | − | 0.368528i | \(-0.120138\pi\) | |||||||
\(942\) | 277.623 | + | 96.5530i | 0.294717 | + | 0.102498i | ||||
\(943\) | 417.130i | 0.442343i | ||||||||
\(944\) | − | 796.096i | − | 0.843322i | ||||||
\(945\) | −309.526 | + | 178.238i | −0.327541 | + | 0.188611i | ||||
\(946\) | 439.671 | 0.464769 | ||||||||
\(947\) | 176.761 | 0.186654 | 0.0933268 | − | 0.995636i | \(-0.470250\pi\) | ||||
0.0933268 | + | 0.995636i | \(0.470250\pi\) | |||||||
\(948\) | 220.711 | − | 634.620i | 0.232818 | − | 0.669430i | ||||
\(949\) | −165.883 | −0.174798 | ||||||||
\(950\) | 55.0008 | + | 4.87816i | 0.0578955 | + | 0.00513490i | ||||
\(951\) | −42.6525 | + | 122.641i | −0.0448502 | + | 0.128960i | ||||
\(952\) | − | 227.368i | − | 0.238832i | ||||||
\(953\) | −252.704 | −0.265167 | −0.132583 | − | 0.991172i | \(-0.542327\pi\) | ||||
−0.132583 | + | 0.991172i | \(0.542327\pi\) | |||||||
\(954\) | −239.613 | − | 189.601i | −0.251167 | − | 0.198743i | ||||
\(955\) | −658.095 | − | 29.1269i | −0.689104 | − | 0.0304993i | ||||
\(956\) | 1171.31i | 1.22522i | ||||||||
\(957\) | 64.6474 | − | 185.884i | 0.0675522 | − | 0.194236i | ||||
\(958\) | 323.272i | 0.337445i | ||||||||
\(959\) | − | 304.640i | − | 0.317665i | ||||||
\(960\) | 567.802 | + | 226.083i | 0.591460 | + | 0.235503i | ||||
\(961\) | −107.925 | −0.112305 | ||||||||
\(962\) | 41.1332 | 0.0427580 | ||||||||
\(963\) | −744.020 | − | 588.726i | −0.772606 | − | 0.611346i | ||||
\(964\) | −325.453 | −0.337607 | ||||||||
\(965\) | 1305.85 | + | 57.7963i | 1.35322 | + | 0.0598925i | ||||
\(966\) | 115.570 | + | 40.1935i | 0.119638 | + | 0.0416082i | ||||
\(967\) | 1691.10i | 1.74881i | 0.485198 | + | 0.874404i | \(0.338747\pi\) | ||||
−0.485198 | + | 0.874404i | \(0.661253\pi\) | |||||||
\(968\) | 227.784 | 0.235314 | ||||||||
\(969\) | −94.4575 | + | 271.598i | −0.0974794 | + | 0.280287i | ||||
\(970\) | 262.166 | + | 11.6033i | 0.270274 | + | 0.0119622i | ||||
\(971\) | − | 273.436i | − | 0.281602i | −0.990038 | − | 0.140801i | \(-0.955032\pi\) | ||
0.990038 | − | 0.140801i | \(-0.0449678\pi\) | |||||||
\(972\) | −905.071 | − | 93.2814i | −0.931143 | − | 0.0959685i | ||||
\(973\) | 697.998i | 0.717367i | ||||||||
\(974\) | − | 214.203i | − | 0.219921i | ||||||
\(975\) | −223.618 | − | 100.711i | −0.229352 | − | 0.103293i | ||||
\(976\) | 609.094 | 0.624072 | ||||||||
\(977\) | 1014.54 | 1.03842 | 0.519212 | − | 0.854646i | \(-0.326226\pi\) | ||||
0.519212 | + | 0.854646i | \(0.326226\pi\) | |||||||
\(978\) | 53.0901 | + | 18.4639i | 0.0542844 | + | 0.0188793i | ||||
\(979\) | 1062.89 | 1.08569 | ||||||||
\(980\) | 5.79455 | − | 130.922i | 0.00591280 | − | 0.133594i | ||||
\(981\) | −947.715 | − | 749.905i | −0.966070 | − | 0.764430i | ||||
\(982\) | 234.956i | 0.239263i | ||||||||
\(983\) | 1724.49 | 1.75432 | 0.877158 | − | 0.480202i | \(-0.159437\pi\) | ||||
0.877158 | + | 0.480202i | \(0.159437\pi\) | |||||||
\(984\) | −151.824 | − | 52.8022i | −0.154293 | − | 0.0536607i | ||||
\(985\) | 86.3339 | − | 1950.63i | 0.0876486 | − | 1.98034i | ||||
\(986\) | 54.3855i | 0.0551577i | ||||||||
\(987\) | −565.067 | − | 196.521i | −0.572509 | − | 0.199110i | ||||
\(988\) | 53.4791i | 0.0541286i | ||||||||
\(989\) | 1980.33i | 2.00236i | ||||||||
\(990\) | 230.262 | + | 199.375i | 0.232588 | + | 0.201389i | ||||
\(991\) | 944.002 | 0.952576 | 0.476288 | − | 0.879289i | \(-0.341982\pi\) | ||||
0.476288 | + | 0.879289i | \(0.341982\pi\) | |||||||
\(992\) | 649.466 | 0.654704 | ||||||||
\(993\) | 111.461 | − | 320.490i | 0.112247 | − | 0.322749i | ||||
\(994\) | 144.789 | 0.145663 | ||||||||
\(995\) | −31.3675 | + | 708.720i | −0.0315252 | + | 0.712281i | ||||
\(996\) | 305.907 | − | 879.586i | 0.307135 | − | 0.883119i | ||||
\(997\) | − | 1175.44i | − | 1.17898i | −0.807777 | − | 0.589489i | \(-0.799329\pi\) | ||
0.807777 | − | 0.589489i | \(-0.200671\pi\) | |||||||
\(998\) | −144.898 | −0.145188 | ||||||||
\(999\) | 360.575 | + | 566.658i | 0.360935 | + | 0.567225i |
(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 | 105.3.f.a.29.13 | yes | 24 | |
3.2 | odd | 2 | inner | 105.3.f.a.29.11 | ✓ | 24 | |
5.2 | odd | 4 | 525.3.c.e.176.13 | 24 | |||
5.3 | odd | 4 | 525.3.c.e.176.12 | 24 | |||
5.4 | even | 2 | inner | 105.3.f.a.29.12 | yes | 24 | |
15.2 | even | 4 | 525.3.c.e.176.11 | 24 | |||
15.8 | even | 4 | 525.3.c.e.176.14 | 24 | |||
15.14 | odd | 2 | inner | 105.3.f.a.29.14 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.f.a.29.11 | ✓ | 24 | 3.2 | odd | 2 | inner | |
105.3.f.a.29.12 | yes | 24 | 5.4 | even | 2 | inner | |
105.3.f.a.29.13 | yes | 24 | 1.1 | even | 1 | trivial | |
105.3.f.a.29.14 | yes | 24 | 15.14 | odd | 2 | inner | |
525.3.c.e.176.11 | 24 | 15.2 | even | 4 | |||
525.3.c.e.176.12 | 24 | 5.3 | odd | 4 | |||
525.3.c.e.176.13 | 24 | 5.2 | odd | 4 | |||
525.3.c.e.176.14 | 24 | 15.8 | even | 4 |