Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(4,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.j (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 64.8 | ||
Character | \(\chi\) | \(=\) | 115.64 |
Dual form | 115.2.j.a.9.8 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.394732 | − | 1.34433i | 0.279117 | − | 0.950587i | −0.693942 | − | 0.720031i | \(-0.744128\pi\) |
0.973059 | − | 0.230555i | \(-0.0740543\pi\) | |||||||
\(3\) | 1.97191 | + | 1.70867i | 1.13848 | + | 0.986503i | 0.999993 | − | 0.00386079i | \(-0.00122893\pi\) |
0.138492 | + | 0.990364i | \(0.455774\pi\) | |||||||
\(4\) | 0.0310904 | + | 0.0199806i | 0.0155452 | + | 0.00999030i | ||||
\(5\) | −1.92204 | − | 1.14270i | −0.859562 | − | 0.511031i | ||||
\(6\) | 3.07540 | − | 1.97644i | 1.25553 | − | 0.806878i | ||||
\(7\) | −2.68179 | + | 1.22473i | −1.01362 | + | 0.462906i | −0.851774 | − | 0.523909i | \(-0.824473\pi\) |
−0.161849 | + | 0.986816i | \(0.551746\pi\) | |||||||
\(8\) | 2.15687 | − | 1.86894i | 0.762570 | − | 0.660771i | ||||
\(9\) | 0.541936 | + | 3.76925i | 0.180645 | + | 1.25642i | ||||
\(10\) | −2.29486 | + | 2.13280i | −0.725698 | + | 0.674451i | ||||
\(11\) | 1.52091 | − | 0.446579i | 0.458571 | − | 0.134649i | −0.0442848 | − | 0.999019i | \(-0.514101\pi\) |
0.502856 | + | 0.864370i | \(0.332283\pi\) | |||||||
\(12\) | 0.0271673 | + | 0.0925233i | 0.00784252 | + | 0.0267092i | ||||
\(13\) | −4.24625 | − | 1.93920i | −1.17770 | − | 0.537837i | −0.272222 | − | 0.962234i | \(-0.587759\pi\) |
−0.905476 | + | 0.424398i | \(0.860486\pi\) | |||||||
\(14\) | 0.587861 | + | 4.08866i | 0.157113 | + | 1.09274i | ||||
\(15\) | −1.83759 | − | 5.53744i | −0.474465 | − | 1.42976i | ||||
\(16\) | −1.63039 | − | 3.57005i | −0.407597 | − | 0.892513i | ||||
\(17\) | 0.714176 | + | 1.11128i | 0.173213 | + | 0.269525i | 0.916996 | − | 0.398897i | \(-0.130607\pi\) |
−0.743783 | + | 0.668421i | \(0.766970\pi\) | |||||||
\(18\) | 5.28104 | + | 0.759299i | 1.24475 | + | 0.178968i | ||||
\(19\) | −4.70724 | − | 3.02516i | −1.07991 | − | 0.694019i | −0.125376 | − | 0.992109i | \(-0.540014\pi\) |
−0.954538 | + | 0.298091i | \(0.903650\pi\) | |||||||
\(20\) | −0.0369252 | − | 0.0739305i | −0.00825672 | − | 0.0165314i | ||||
\(21\) | −7.38094 | − | 2.16724i | −1.61065 | − | 0.472930i | ||||
\(22\) | − | 2.22088i | − | 0.473494i | ||||||
\(23\) | 4.51845 | + | 1.60736i | 0.942162 | + | 0.335157i | ||||
\(24\) | 7.44658 | 1.52003 | ||||||||
\(25\) | 2.38847 | + | 4.39263i | 0.477694 | + | 0.878526i | ||||
\(26\) | −4.28306 | + | 4.94291i | −0.839976 | + | 0.969384i | ||||
\(27\) | −1.13981 | + | 1.77358i | −0.219357 | + | 0.341326i | ||||
\(28\) | −0.107849 | − | 0.0155063i | −0.0203815 | − | 0.00293042i | ||||
\(29\) | −4.78017 | + | 3.07203i | −0.887655 | + | 0.570461i | −0.903105 | − | 0.429419i | \(-0.858718\pi\) |
0.0154501 | + | 0.999881i | \(0.495082\pi\) | |||||||
\(30\) | −8.16952 | + | 0.284533i | −1.49154 | + | 0.0519485i | ||||
\(31\) | 4.02560 | + | 4.64579i | 0.723020 | + | 0.834409i | 0.991667 | − | 0.128829i | \(-0.0411220\pi\) |
−0.268647 | + | 0.963239i | \(0.586577\pi\) | |||||||
\(32\) | 0.206907 | − | 0.0297487i | 0.0365764 | − | 0.00525889i | ||||
\(33\) | 3.76216 | + | 1.71812i | 0.654907 | + | 0.299086i | ||||
\(34\) | 1.77584 | − | 0.521433i | 0.304553 | − | 0.0894249i | ||||
\(35\) | 6.55402 | + | 0.710500i | 1.10783 | + | 0.120096i | ||||
\(36\) | −0.0584628 | + | 0.128016i | −0.00974379 | + | 0.0213359i | ||||
\(37\) | 0.226161 | − | 0.0325170i | 0.0371806 | − | 0.00534577i | −0.123699 | − | 0.992320i | \(-0.539476\pi\) |
0.160880 | + | 0.986974i | \(0.448567\pi\) | |||||||
\(38\) | −5.92491 | + | 5.13396i | −0.961147 | + | 0.832839i | ||||
\(39\) | −5.05979 | − | 11.0794i | −0.810214 | − | 1.77412i | ||||
\(40\) | −6.28124 | + | 1.12752i | −0.993151 | + | 0.178276i | ||||
\(41\) | −0.944912 | + | 6.57201i | −0.147570 | + | 1.02637i | 0.772610 | + | 0.634881i | \(0.218951\pi\) |
−0.920181 | + | 0.391494i | \(0.871958\pi\) | |||||||
\(42\) | −5.82698 | + | 9.06696i | −0.899122 | + | 1.39906i | ||||
\(43\) | 4.67889 | + | 4.05429i | 0.713525 | + | 0.618273i | 0.934064 | − | 0.357105i | \(-0.116236\pi\) |
−0.220539 | + | 0.975378i | \(0.570782\pi\) | |||||||
\(44\) | 0.0562086 | + | 0.0165043i | 0.00847376 | + | 0.00248812i | ||||
\(45\) | 3.26550 | − | 7.86391i | 0.486792 | − | 1.17228i | ||||
\(46\) | 3.94440 | − | 5.43983i | 0.581570 | − | 0.802059i | ||||
\(47\) | − | 9.26629i | − | 1.35163i | −0.737073 | − | 0.675813i | \(-0.763792\pi\) | ||
0.737073 | − | 0.675813i | \(-0.236208\pi\) | |||||||
\(48\) | 2.88507 | − | 9.82563i | 0.416423 | − | 1.41821i | ||||
\(49\) | 1.10802 | − | 1.27872i | 0.158289 | − | 0.182675i | ||||
\(50\) | 6.84796 | − | 1.47699i | 0.968448 | − | 0.208878i | ||||
\(51\) | −0.490520 | + | 3.41164i | −0.0686865 | + | 0.477725i | ||||
\(52\) | −0.0932714 | − | 0.145133i | −0.0129344 | − | 0.0201263i | ||||
\(53\) | 7.81920 | − | 3.57091i | 1.07405 | − | 0.490502i | 0.201732 | − | 0.979441i | \(-0.435343\pi\) |
0.872318 | + | 0.488938i | \(0.162616\pi\) | |||||||
\(54\) | 1.93436 | + | 2.23238i | 0.263234 | + | 0.303788i | ||||
\(55\) | −3.43355 | − | 0.879600i | −0.462980 | − | 0.118605i | ||||
\(56\) | −3.49533 | + | 7.65371i | −0.467084 | + | 1.02277i | ||||
\(57\) | −4.11326 | − | 14.0085i | −0.544814 | − | 1.85547i | ||||
\(58\) | 2.24294 | + | 7.63876i | 0.294513 | + | 1.00302i | ||||
\(59\) | 4.84630 | − | 10.6119i | 0.630934 | − | 1.38155i | −0.276359 | − | 0.961055i | \(-0.589128\pi\) |
0.907293 | − | 0.420499i | \(-0.138145\pi\) | |||||||
\(60\) | 0.0535098 | − | 0.208878i | 0.00690809 | − | 0.0269660i | ||||
\(61\) | −2.17039 | − | 2.50477i | −0.277891 | − | 0.320703i | 0.599597 | − | 0.800302i | \(-0.295328\pi\) |
−0.877488 | + | 0.479599i | \(0.840782\pi\) | |||||||
\(62\) | 7.83452 | − | 3.57791i | 0.994986 | − | 0.454395i | ||||
\(63\) | −6.06969 | − | 9.44462i | −0.764709 | − | 1.18991i | ||||
\(64\) | 1.15877 | − | 8.05944i | 0.144847 | − | 1.00743i | ||||
\(65\) | 5.94554 | + | 8.57941i | 0.737453 | + | 1.06414i | ||||
\(66\) | 3.79477 | − | 4.37939i | 0.467103 | − | 0.539066i | ||||
\(67\) | −2.96939 | + | 10.1128i | −0.362769 | + | 1.23548i | 0.552799 | + | 0.833315i | \(0.313560\pi\) |
−0.915568 | + | 0.402163i | \(0.868259\pi\) | |||||||
\(68\) | 0.0488198i | 0.00592027i | ||||||||
\(69\) | 6.16355 | + | 10.8901i | 0.742004 | + | 1.31102i | ||||
\(70\) | 3.54223 | − | 8.53032i | 0.423377 | − | 1.01957i | ||||
\(71\) | −7.18012 | − | 2.10827i | −0.852123 | − | 0.250206i | −0.173628 | − | 0.984811i | \(-0.555549\pi\) |
−0.678495 | + | 0.734605i | \(0.737367\pi\) | |||||||
\(72\) | 8.21339 | + | 7.11694i | 0.967957 | + | 0.838740i | ||||
\(73\) | −0.164990 | + | 0.256729i | −0.0193106 | + | 0.0300479i | −0.850775 | − | 0.525531i | \(-0.823867\pi\) |
0.831464 | + | 0.555579i | \(0.187503\pi\) | |||||||
\(74\) | 0.0455592 | − | 0.316871i | 0.00529615 | − | 0.0368355i | ||||
\(75\) | −2.79571 | + | 12.7430i | −0.322821 | + | 1.47144i | ||||
\(76\) | −0.0859054 | − | 0.188107i | −0.00985403 | − | 0.0215773i | ||||
\(77\) | −3.53182 | + | 3.06034i | −0.402488 | + | 0.348758i | ||||
\(78\) | −16.8916 | + | 2.42865i | −1.91260 | + | 0.274990i | ||||
\(79\) | −3.42189 | + | 7.49289i | −0.384992 | + | 0.843016i | 0.613582 | + | 0.789631i | \(0.289728\pi\) |
−0.998574 | + | 0.0533846i | \(0.982999\pi\) | |||||||
\(80\) | −0.945830 | + | 8.72482i | −0.105747 | + | 0.975465i | ||||
\(81\) | 5.68318 | − | 1.66873i | 0.631465 | − | 0.185415i | ||||
\(82\) | 8.46197 | + | 3.86445i | 0.934469 | + | 0.426758i | ||||
\(83\) | −6.71269 | + | 0.965140i | −0.736814 | + | 0.105938i | −0.500497 | − | 0.865738i | \(-0.666849\pi\) |
−0.236317 | + | 0.971676i | \(0.575940\pi\) | |||||||
\(84\) | −0.186174 | − | 0.214856i | −0.0203132 | − | 0.0234427i | ||||
\(85\) | −0.102815 | − | 2.95201i | −0.0111518 | − | 0.320191i | ||||
\(86\) | 7.29721 | − | 4.68964i | 0.786879 | − | 0.505696i | ||||
\(87\) | −14.6752 | − | 2.10997i | −1.57334 | − | 0.226213i | ||||
\(88\) | 2.44578 | − | 3.80570i | 0.260721 | − | 0.405689i | ||||
\(89\) | 5.15177 | − | 5.94546i | 0.546086 | − | 0.630217i | −0.413881 | − | 0.910331i | \(-0.635827\pi\) |
0.959967 | + | 0.280114i | \(0.0903723\pi\) | |||||||
\(90\) | −9.28271 | − | 7.49405i | −0.978484 | − | 0.789942i | ||||
\(91\) | 13.7626 | 1.44271 | ||||||||
\(92\) | 0.108365 | + | 0.140255i | 0.0112978 | + | 0.0146226i | ||||
\(93\) | 16.0395i | 1.66322i | ||||||||
\(94\) | −12.4570 | − | 3.65770i | −1.28484 | − | 0.377263i | ||||
\(95\) | 5.59064 | + | 11.1934i | 0.573588 | + | 1.14842i | ||||
\(96\) | 0.458834 | + | 0.294875i | 0.0468295 | + | 0.0300955i | ||||
\(97\) | 5.61695 | + | 0.807595i | 0.570315 | + | 0.0819989i | 0.421438 | − | 0.906857i | \(-0.361525\pi\) |
0.148876 | + | 0.988856i | \(0.452434\pi\) | |||||||
\(98\) | −1.28166 | − | 1.99430i | −0.129467 | − | 0.201455i | ||||
\(99\) | 2.50750 | + | 5.49066i | 0.252013 | + | 0.551832i | ||||
\(100\) | −0.0135088 | + | 0.184292i | −0.00135088 | + | 0.0184292i | ||||
\(101\) | 0.745671 | + | 5.18625i | 0.0741970 | + | 0.516052i | 0.992697 | + | 0.120631i | \(0.0384919\pi\) |
−0.918500 | + | 0.395420i | \(0.870599\pi\) | |||||||
\(102\) | 4.39275 | + | 2.00610i | 0.434947 | + | 0.198634i | ||||
\(103\) | −5.25232 | − | 17.8877i | −0.517526 | − | 1.76253i | −0.638232 | − | 0.769844i | \(-0.720334\pi\) |
0.120706 | − | 0.992688i | \(-0.461484\pi\) | |||||||
\(104\) | −12.7829 | + | 3.75339i | −1.25346 | + | 0.368050i | ||||
\(105\) | 11.7099 | + | 12.5997i | 1.14277 | + | 1.22961i | ||||
\(106\) | −1.71400 | − | 11.9212i | −0.166479 | − | 1.15789i | ||||
\(107\) | 5.85951 | − | 5.07730i | 0.566460 | − | 0.490841i | −0.323904 | − | 0.946090i | \(-0.604995\pi\) |
0.890364 | + | 0.455249i | \(0.150450\pi\) | |||||||
\(108\) | −0.0708745 | + | 0.0323673i | −0.00681990 | + | 0.00311454i | ||||
\(109\) | 4.92636 | − | 3.16598i | 0.471860 | − | 0.303246i | −0.283014 | − | 0.959116i | \(-0.591334\pi\) |
0.754874 | + | 0.655870i | \(0.227698\pi\) | |||||||
\(110\) | −2.53781 | + | 4.26863i | −0.241970 | + | 0.406998i | ||||
\(111\) | 0.501531 | + | 0.322314i | 0.0476032 | + | 0.0305927i | ||||
\(112\) | 8.74473 | + | 7.57735i | 0.826299 | + | 0.715992i | ||||
\(113\) | −2.56064 | + | 8.72074i | −0.240885 | + | 0.820378i | 0.746951 | + | 0.664879i | \(0.231517\pi\) |
−0.987836 | + | 0.155499i | \(0.950301\pi\) | |||||||
\(114\) | −20.4557 | −1.91585 | ||||||||
\(115\) | −6.84791 | − | 8.25264i | −0.638571 | − | 0.769563i | ||||
\(116\) | −0.209998 | −0.0194979 | ||||||||
\(117\) | 5.00812 | − | 17.0561i | 0.463001 | − | 1.57684i | ||||
\(118\) | −12.3530 | − | 10.7039i | −1.13718 | − | 0.985374i | ||||
\(119\) | −3.27629 | − | 2.10555i | −0.300337 | − | 0.193015i | ||||
\(120\) | −14.3126 | − | 8.50921i | −1.30656 | − | 0.776781i | ||||
\(121\) | −7.14006 | + | 4.58864i | −0.649096 | + | 0.417149i | ||||
\(122\) | −4.22397 | + | 1.92902i | −0.382420 | + | 0.174645i | ||||
\(123\) | −13.0927 | + | 11.3449i | −1.18053 | + | 1.02293i | ||||
\(124\) | 0.0323319 | + | 0.224874i | 0.00290349 | + | 0.0201942i | ||||
\(125\) | 0.428727 | − | 11.1721i | 0.0383465 | − | 0.999265i | ||||
\(126\) | −15.0926 | + | 4.43159i | −1.34456 | + | 0.394797i | ||||
\(127\) | −1.78354 | − | 6.07417i | −0.158263 | − | 0.538996i | 0.841736 | − | 0.539889i | \(-0.181534\pi\) |
−1.00000 | 0.000893287i | \(0.999716\pi\) | ||||||||
\(128\) | −9.99687 | − | 4.56542i | −0.883607 | − | 0.403530i | ||||
\(129\) | 2.29893 | + | 15.9894i | 0.202409 | + | 1.40779i | ||||
\(130\) | 13.8805 | − | 4.60622i | 1.21740 | − | 0.403992i | ||||
\(131\) | −1.99588 | − | 4.37037i | −0.174381 | − | 0.381841i | 0.802180 | − | 0.597082i | \(-0.203673\pi\) |
−0.976561 | + | 0.215241i | \(0.930946\pi\) | |||||||
\(132\) | 0.0826379 | + | 0.128587i | 0.00719271 | + | 0.0111921i | ||||
\(133\) | 16.3289 | + | 2.34773i | 1.41589 | + | 0.203574i | ||||
\(134\) | 12.4229 | + | 7.98370i | 1.07317 | + | 0.689687i | ||||
\(135\) | 4.21744 | − | 2.10643i | 0.362979 | − | 0.181293i | ||||
\(136\) | 3.61730 | + | 1.06214i | 0.310181 | + | 0.0910774i | ||||
\(137\) | 4.56852i | 0.390315i | 0.980772 | + | 0.195158i | \(0.0625218\pi\) | ||||
−0.980772 | + | 0.195158i | \(0.937478\pi\) | |||||||
\(138\) | 17.0729 | − | 3.98718i | 1.45334 | − | 0.339411i | ||||
\(139\) | −15.2156 | −1.29057 | −0.645284 | − | 0.763943i | \(-0.723261\pi\) | ||||
−0.645284 | + | 0.763943i | \(0.723261\pi\) | |||||||
\(140\) | 0.189571 | + | 0.153043i | 0.0160217 | + | 0.0129345i | ||||
\(141\) | 15.8331 | − | 18.2723i | 1.33338 | − | 1.53881i | ||||
\(142\) | −5.66844 | + | 8.82026i | −0.475685 | + | 0.740180i | ||||
\(143\) | −7.32416 | − | 1.05306i | −0.612477 | − | 0.0880609i | ||||
\(144\) | 12.5728 | − | 8.08007i | 1.04774 | − | 0.673339i | ||||
\(145\) | 12.6981 | − | 0.442257i | 1.05452 | − | 0.0367274i | ||||
\(146\) | 0.280003 | + | 0.323141i | 0.0231732 | + | 0.0267433i | ||||
\(147\) | 4.36984 | − | 0.628289i | 0.360419 | − | 0.0518204i | ||||
\(148\) | 0.00768115 | + | 0.00350786i | 0.000631386 | + | 0.000288345i | ||||
\(149\) | 9.48896 | − | 2.78621i | 0.777366 | − | 0.228255i | 0.131101 | − | 0.991369i | \(-0.458149\pi\) |
0.646264 | + | 0.763114i | \(0.276330\pi\) | |||||||
\(150\) | 16.0273 | + | 8.78843i | 1.30862 | + | 0.717572i | ||||
\(151\) | −7.52665 | + | 16.4811i | −0.612510 | + | 1.34121i | 0.308333 | + | 0.951278i | \(0.400229\pi\) |
−0.920844 | + | 0.389932i | \(0.872499\pi\) | |||||||
\(152\) | −15.8068 | + | 2.27267i | −1.28210 | + | 0.184338i | ||||
\(153\) | −3.80165 | + | 3.29415i | −0.307345 | + | 0.266316i | ||||
\(154\) | 2.71999 | + | 5.95596i | 0.219183 | + | 0.479945i | ||||
\(155\) | −2.42862 | − | 13.5295i | −0.195071 | − | 1.08671i | ||||
\(156\) | 0.0640619 | − | 0.445560i | 0.00512905 | − | 0.0356734i | ||||
\(157\) | −12.2151 | + | 19.0071i | −0.974873 | + | 1.51693i | −0.123518 | + | 0.992342i | \(0.539418\pi\) |
−0.851355 | + | 0.524590i | \(0.824219\pi\) | |||||||
\(158\) | 8.72221 | + | 7.55784i | 0.693902 | + | 0.601269i | ||||
\(159\) | 21.5203 | + | 6.31893i | 1.70667 | + | 0.501124i | ||||
\(160\) | −0.431678 | − | 0.179255i | −0.0341271 | − | 0.0141713i | ||||
\(161\) | −14.0861 | + | 1.22330i | −1.11014 | + | 0.0964095i | ||||
\(162\) | − | 8.29879i | − | 0.652014i | ||||||
\(163\) | 1.81699 | − | 6.18810i | 0.142318 | − | 0.484689i | −0.857225 | − | 0.514943i | \(-0.827813\pi\) |
0.999542 | + | 0.0302534i | \(0.00963143\pi\) | |||||||
\(164\) | −0.160690 | + | 0.185446i | −0.0125478 | + | 0.0144809i | ||||
\(165\) | −5.26772 | − | 7.60131i | −0.410091 | − | 0.591761i | ||||
\(166\) | −1.35224 | + | 9.40506i | −0.104954 | + | 0.729974i | ||||
\(167\) | 5.28392 | + | 8.22194i | 0.408882 | + | 0.636233i | 0.983228 | − | 0.182380i | \(-0.0583800\pi\) |
−0.574346 | + | 0.818613i | \(0.694744\pi\) | |||||||
\(168\) | −19.9702 | + | 9.12008i | −1.54073 | + | 0.703630i | ||||
\(169\) | 5.75697 | + | 6.64390i | 0.442844 | + | 0.511069i | ||||
\(170\) | −4.00907 | − | 1.02704i | −0.307481 | − | 0.0787700i | ||||
\(171\) | 8.85154 | − | 19.3822i | 0.676894 | − | 1.48219i | ||||
\(172\) | 0.0644617 | + | 0.219536i | 0.00491516 | + | 0.0167395i | ||||
\(173\) | 2.53455 | + | 8.63190i | 0.192699 | + | 0.656271i | 0.997989 | + | 0.0633903i | \(0.0201913\pi\) |
−0.805290 | + | 0.592881i | \(0.797991\pi\) | |||||||
\(174\) | −8.62926 | + | 18.8954i | −0.654182 | + | 1.43246i | ||||
\(175\) | −11.7852 | − | 8.85489i | −0.890877 | − | 0.669367i | ||||
\(176\) | −4.07398 | − | 4.70162i | −0.307088 | − | 0.354398i | ||||
\(177\) | 27.6888 | − | 12.6450i | 2.08122 | − | 0.950459i | ||||
\(178\) | −5.95910 | − | 9.27255i | −0.446654 | − | 0.695007i | ||||
\(179\) | 1.93200 | − | 13.4374i | 0.144405 | − | 1.00436i | −0.780771 | − | 0.624818i | \(-0.785173\pi\) |
0.925175 | − | 0.379540i | \(-0.123918\pi\) | |||||||
\(180\) | 0.258651 | − | 0.179246i | 0.0192787 | − | 0.0133602i | ||||
\(181\) | −2.05334 | + | 2.36968i | −0.152623 | + | 0.176137i | −0.826912 | − | 0.562331i | \(-0.809905\pi\) |
0.674289 | + | 0.738468i | \(0.264450\pi\) | |||||||
\(182\) | 5.43252 | − | 18.5015i | 0.402685 | − | 1.37142i | ||||
\(183\) | − | 8.64768i | − | 0.639255i | ||||||
\(184\) | 12.7498 | − | 4.97785i | 0.939927 | − | 0.366972i | ||||
\(185\) | −0.471848 | − | 0.195935i | −0.0346909 | − | 0.0144054i | ||||
\(186\) | 21.5625 | + | 6.33131i | 1.58104 | + | 0.464235i | ||||
\(187\) | 1.58247 | + | 1.37122i | 0.115722 | + | 0.100273i | ||||
\(188\) | 0.185146 | − | 0.288093i | 0.0135032 | − | 0.0210113i | ||||
\(189\) | 0.884575 | − | 6.15235i | 0.0643433 | − | 0.447518i | ||||
\(190\) | 17.2545 | − | 3.09728i | 1.25177 | − | 0.224701i | ||||
\(191\) | 0.574624 | + | 1.25825i | 0.0415783 | + | 0.0910439i | 0.929281 | − | 0.369373i | \(-0.120427\pi\) |
−0.887703 | + | 0.460416i | \(0.847700\pi\) | |||||||
\(192\) | 16.0559 | − | 13.9126i | 1.15874 | − | 1.00405i | ||||
\(193\) | −2.60238 | + | 0.374166i | −0.187324 | + | 0.0269331i | −0.235338 | − | 0.971914i | \(-0.575620\pi\) |
0.0480145 | + | 0.998847i | \(0.484711\pi\) | |||||||
\(194\) | 3.30286 | − | 7.23226i | 0.237132 | − | 0.519246i | ||||
\(195\) | −2.93531 | + | 27.0768i | −0.210202 | + | 1.93901i | ||||
\(196\) | 0.0599985 | − | 0.0176172i | 0.00428561 | − | 0.00125837i | ||||
\(197\) | −12.7168 | − | 5.80756i | −0.906033 | − | 0.413771i | −0.0927834 | − | 0.995686i | \(-0.529576\pi\) |
−0.813250 | + | 0.581915i | \(0.802304\pi\) | |||||||
\(198\) | 8.37106 | − | 1.20358i | 0.594905 | − | 0.0855345i | ||||
\(199\) | 8.88720 | + | 10.2564i | 0.629997 | + | 0.727055i | 0.977573 | − | 0.210597i | \(-0.0675407\pi\) |
−0.347576 | + | 0.937652i | \(0.612995\pi\) | |||||||
\(200\) | 13.3612 | + | 5.01044i | 0.944780 | + | 0.354291i | ||||
\(201\) | −23.1349 | + | 14.8679i | −1.63181 | + | 1.04870i | ||||
\(202\) | 7.26639 | + | 1.04475i | 0.511261 | + | 0.0735083i | ||||
\(203\) | 9.05701 | − | 14.0930i | 0.635678 | − | 0.989134i | ||||
\(204\) | −0.0834170 | + | 0.0962684i | −0.00584036 | + | 0.00674013i | ||||
\(205\) | 9.32599 | − | 11.5519i | 0.651356 | − | 0.806820i | ||||
\(206\) | −26.1203 | −1.81989 | ||||||||
\(207\) | −3.60982 | + | 17.9022i | −0.250900 | + | 1.24429i | ||||
\(208\) | 18.3210i | 1.27033i | ||||||||
\(209\) | −8.51024 | − | 2.49883i | −0.588666 | − | 0.172848i | ||||
\(210\) | 21.5605 | − | 10.7686i | 1.48782 | − | 0.743101i | ||||
\(211\) | 5.33889 | + | 3.43110i | 0.367545 | + | 0.236207i | 0.711356 | − | 0.702832i | \(-0.248082\pi\) |
−0.343811 | + | 0.939039i | \(0.611718\pi\) | |||||||
\(212\) | 0.314451 | + | 0.0452113i | 0.0215966 | + | 0.00310512i | ||||
\(213\) | −10.5562 | − | 16.4258i | −0.723300 | − | 1.12548i | ||||
\(214\) | −4.51264 | − | 9.88130i | −0.308478 | − | 0.675472i | ||||
\(215\) | −4.36019 | − | 13.1391i | −0.297362 | − | 0.896077i | ||||
\(216\) | 0.856291 | + | 5.95564i | 0.0582632 | + | 0.405230i | ||||
\(217\) | −16.4857 | − | 7.52877i | −1.11912 | − | 0.511086i | ||||
\(218\) | −2.31154 | − | 7.87238i | −0.156557 | − | 0.533185i | ||||
\(219\) | −0.764012 | + | 0.224334i | −0.0516272 | + | 0.0151591i | ||||
\(220\) | −0.0891756 | − | 0.0959515i | −0.00601221 | − | 0.00646905i | ||||
\(221\) | −0.877579 | − | 6.10370i | −0.0590324 | − | 0.410579i | ||||
\(222\) | 0.631268 | − | 0.546997i | 0.0423679 | − | 0.0367120i | ||||
\(223\) | −8.76703 | + | 4.00377i | −0.587084 | + | 0.268112i | −0.686732 | − | 0.726911i | \(-0.740955\pi\) |
0.0996485 | + | 0.995023i | \(0.468228\pi\) | |||||||
\(224\) | −0.518448 | + | 0.333186i | −0.0346403 | + | 0.0222619i | ||||
\(225\) | −15.2625 | + | 11.3833i | −1.01750 | + | 0.758884i | ||||
\(226\) | 10.7128 | + | 6.88471i | 0.712606 | + | 0.457964i | ||||
\(227\) | −14.1856 | − | 12.2919i | −0.941530 | − | 0.815841i | 0.0415273 | − | 0.999137i | \(-0.486778\pi\) |
−0.983058 | + | 0.183297i | \(0.941323\pi\) | |||||||
\(228\) | 0.152015 | − | 0.517714i | 0.0100674 | − | 0.0342865i | ||||
\(229\) | −16.6093 | −1.09757 | −0.548786 | − | 0.835963i | \(-0.684910\pi\) | ||||
−0.548786 | + | 0.835963i | \(0.684910\pi\) | |||||||
\(230\) | −13.7974 | + | 5.94829i | −0.909772 | + | 0.392219i | ||||
\(231\) | −12.1936 | −0.802278 | ||||||||
\(232\) | −4.56878 | + | 15.5598i | −0.299955 | + | 1.02155i | ||||
\(233\) | −10.2086 | − | 8.84581i | −0.668789 | − | 0.579509i | 0.252875 | − | 0.967499i | \(-0.418624\pi\) |
−0.921663 | + | 0.387990i | \(0.873169\pi\) | |||||||
\(234\) | −20.9522 | − | 13.4652i | −1.36969 | − | 0.880245i | ||||
\(235\) | −10.5886 | + | 17.8102i | −0.690724 | + | 1.16181i | ||||
\(236\) | 0.362706 | − | 0.233097i | 0.0236101 | − | 0.0151733i | ||||
\(237\) | −19.5506 | + | 8.92844i | −1.26995 | + | 0.579965i | ||||
\(238\) | −4.12381 | + | 3.57330i | −0.267307 | + | 0.231623i | ||||
\(239\) | −0.556606 | − | 3.87128i | −0.0360038 | − | 0.250412i | 0.963869 | − | 0.266378i | \(-0.0858269\pi\) |
−0.999873 | + | 0.0159656i | \(0.994918\pi\) | |||||||
\(240\) | −16.7730 | + | 15.5885i | −1.08269 | + | 1.00623i | ||||
\(241\) | 9.35355 | − | 2.74645i | 0.602515 | − | 0.176914i | 0.0337718 | − | 0.999430i | \(-0.489248\pi\) |
0.568743 | + | 0.822515i | \(0.307430\pi\) | |||||||
\(242\) | 3.35025 | + | 11.4099i | 0.215362 | + | 0.733456i | ||||
\(243\) | 19.8113 | + | 9.04751i | 1.27089 | + | 0.580398i | ||||
\(244\) | −0.0174317 | − | 0.121240i | −0.00111595 | − | 0.00776160i | ||||
\(245\) | −3.59086 | + | 1.19162i | −0.229412 | + | 0.0761300i | ||||
\(246\) | 10.0832 | + | 22.0791i | 0.642881 | + | 1.40771i | ||||
\(247\) | 14.1217 | + | 21.9738i | 0.898544 | + | 1.39816i | ||||
\(248\) | 17.3654 | + | 2.49677i | 1.10271 | + | 0.158545i | ||||
\(249\) | −14.8860 | − | 9.56662i | −0.943359 | − | 0.606260i | ||||
\(250\) | −14.8498 | − | 4.98634i | −0.939184 | − | 0.315364i | ||||
\(251\) | 16.5033 | + | 4.84581i | 1.04168 | + | 0.305865i | 0.757451 | − | 0.652892i | \(-0.226444\pi\) |
0.284228 | + | 0.958757i | \(0.408263\pi\) | |||||||
\(252\) | − | 0.414913i | − | 0.0261371i | ||||||
\(253\) | 7.58996 | + | 0.426798i | 0.477177 | + | 0.0268326i | ||||
\(254\) | −8.86973 | −0.556536 | ||||||||
\(255\) | 4.84128 | − | 5.99679i | 0.303173 | − | 0.375533i | ||||
\(256\) | 0.580645 | − | 0.670100i | 0.0362903 | − | 0.0418812i | ||||
\(257\) | −4.80672 | + | 7.47940i | −0.299835 | + | 0.466552i | −0.958181 | − | 0.286163i | \(-0.907620\pi\) |
0.658346 | + | 0.752715i | \(0.271256\pi\) | |||||||
\(258\) | 22.4025 | + | 3.22100i | 1.39472 | + | 0.200531i | ||||
\(259\) | −0.566693 | + | 0.364191i | −0.0352126 | + | 0.0226297i | ||||
\(260\) | 0.0134276 | + | 0.385533i | 0.000832743 | + | 0.0239097i | ||||
\(261\) | −14.1698 | − | 16.3528i | −0.877087 | − | 1.01221i | ||||
\(262\) | −6.66307 | + | 0.958004i | −0.411646 | + | 0.0591857i | ||||
\(263\) | 2.35945 | + | 1.07753i | 0.145490 | + | 0.0664431i | 0.486830 | − | 0.873497i | \(-0.338153\pi\) |
−0.341339 | + | 0.939940i | \(0.610881\pi\) | |||||||
\(264\) | 11.3256 | − | 3.32548i | 0.697040 | − | 0.204669i | ||||
\(265\) | −19.1093 | − | 2.07158i | −1.17388 | − | 0.127256i | ||||
\(266\) | 9.60165 | − | 21.0247i | 0.588715 | − | 1.28911i | ||||
\(267\) | 20.3177 | − | 2.92124i | 1.24342 | − | 0.178777i | ||||
\(268\) | −0.294380 | + | 0.255081i | −0.0179821 | + | 0.0155816i | ||||
\(269\) | −1.13907 | − | 2.49422i | −0.0694504 | − | 0.152075i | 0.871723 | − | 0.489999i | \(-0.163003\pi\) |
−0.941174 | + | 0.337924i | \(0.890275\pi\) | |||||||
\(270\) | −1.16699 | − | 6.50111i | −0.0710206 | − | 0.395645i | ||||
\(271\) | 1.97254 | − | 13.7193i | 0.119823 | − | 0.833390i | −0.837925 | − | 0.545785i | \(-0.816232\pi\) |
0.957749 | − | 0.287606i | \(-0.0928593\pi\) | |||||||
\(272\) | 2.80294 | − | 4.36146i | 0.169953 | − | 0.264452i | ||||
\(273\) | 27.1386 | + | 23.5157i | 1.64250 | + | 1.42324i | ||||
\(274\) | 6.14161 | + | 1.80334i | 0.371028 | + | 0.108944i | ||||
\(275\) | 5.59430 | + | 5.61415i | 0.337349 | + | 0.338546i | ||||
\(276\) | −0.0259640 | + | 0.461730i | −0.00156285 | + | 0.0277929i | ||||
\(277\) | − | 2.92978i | − | 0.176033i | −0.996119 | − | 0.0880167i | \(-0.971947\pi\) | ||
0.996119 | − | 0.0880167i | \(-0.0280529\pi\) | |||||||
\(278\) | −6.00607 | + | 20.4548i | −0.360220 | + | 1.22680i | ||||
\(279\) | −15.3295 | + | 17.6912i | −0.917754 | + | 1.05915i | ||||
\(280\) | 15.4641 | − | 10.7166i | 0.924155 | − | 0.640441i | ||||
\(281\) | 3.47962 | − | 24.2013i | 0.207577 | − | 1.44373i | −0.573455 | − | 0.819237i | \(-0.694397\pi\) |
0.781032 | − | 0.624491i | \(-0.214694\pi\) | |||||||
\(282\) | −18.3143 | − | 28.4975i | −1.09060 | − | 1.69700i | ||||
\(283\) | 18.1109 | − | 8.27096i | 1.07658 | − | 0.491657i | 0.203420 | − | 0.979092i | \(-0.434794\pi\) |
0.873160 | + | 0.487434i | \(0.162067\pi\) | |||||||
\(284\) | −0.181108 | − | 0.209010i | −0.0107468 | − | 0.0124025i | ||||
\(285\) | −8.10164 | + | 31.6251i | −0.479900 | + | 1.87331i | ||||
\(286\) | −4.30673 | + | 9.43043i | −0.254663 | + | 0.557633i | ||||
\(287\) | −5.51490 | − | 18.7820i | −0.325534 | − | 1.10867i | ||||
\(288\) | 0.224261 | + | 0.763762i | 0.0132147 | + | 0.0450051i | ||||
\(289\) | 6.33716 | − | 13.8764i | 0.372774 | − | 0.816262i | ||||
\(290\) | 4.41779 | − | 17.2450i | 0.259422 | − | 1.01266i | ||||
\(291\) | 9.69622 | + | 11.1900i | 0.568402 | + | 0.655971i | ||||
\(292\) | −0.0102592 | + | 0.00468522i | −0.000600375 | + | 0.000274182i | ||||
\(293\) | 6.06437 | + | 9.43634i | 0.354284 | + | 0.551277i | 0.971957 | − | 0.235158i | \(-0.0755609\pi\) |
−0.617673 | + | 0.786435i | \(0.711924\pi\) | |||||||
\(294\) | 0.880287 | − | 6.12253i | 0.0513394 | − | 0.357073i | ||||
\(295\) | −21.4410 | + | 14.8587i | −1.24834 | + | 0.865104i | ||||
\(296\) | 0.427028 | − | 0.492817i | 0.0248205 | − | 0.0286444i | ||||
\(297\) | −0.941505 | + | 3.20647i | −0.0546317 | + | 0.186058i | ||||
\(298\) | − | 13.8561i | − | 0.802663i | ||||||
\(299\) | −16.0695 | − | 15.5874i | −0.929323 | − | 0.901443i | ||||
\(300\) | −0.341533 | + | 0.340325i | −0.0197184 | + | 0.0196487i | ||||
\(301\) | −17.5133 | − | 5.14236i | −1.00945 | − | 0.296400i | ||||
\(302\) | 19.1850 | + | 16.6239i | 1.10397 | + | 0.956599i | ||||
\(303\) | −7.39121 | + | 11.5010i | −0.424614 | + | 0.660713i | ||||
\(304\) | −3.12534 | + | 21.7372i | −0.179251 | + | 1.24672i | ||||
\(305\) | 1.30938 | + | 7.29438i | 0.0749751 | + | 0.417675i | ||||
\(306\) | 2.92780 | + | 6.41098i | 0.167371 | + | 0.366491i | ||||
\(307\) | 5.74551 | − | 4.97852i | 0.327914 | − | 0.284139i | −0.475307 | − | 0.879820i | \(-0.657663\pi\) |
0.803221 | + | 0.595681i | \(0.203118\pi\) | |||||||
\(308\) | −0.170953 | + | 0.0245794i | −0.00974096 | + | 0.00140054i | ||||
\(309\) | 20.2072 | − | 44.2476i | 1.14955 | − | 2.51716i | ||||
\(310\) | −19.1467 | − | 2.07564i | −1.08746 | − | 0.117888i | ||||
\(311\) | 16.5580 | − | 4.86186i | 0.938916 | − | 0.275691i | 0.223751 | − | 0.974646i | \(-0.428170\pi\) |
0.715165 | + | 0.698956i | \(0.246351\pi\) | |||||||
\(312\) | −31.6200 | − | 14.4404i | −1.79013 | − | 0.817526i | ||||
\(313\) | −2.68453 | + | 0.385977i | −0.151738 | + | 0.0218167i | −0.217765 | − | 0.976001i | \(-0.569877\pi\) |
0.0660270 | + | 0.997818i | \(0.478968\pi\) | |||||||
\(314\) | 20.7302 | + | 23.9239i | 1.16987 | + | 1.35010i | ||||
\(315\) | 0.873807 | + | 25.0888i | 0.0492335 | + | 1.41359i | ||||
\(316\) | −0.256100 | + | 0.164586i | −0.0144068 | + | 0.00925867i | ||||
\(317\) | −2.90177 | − | 0.417211i | −0.162980 | − | 0.0234329i | 0.0603419 | − | 0.998178i | \(-0.480781\pi\) |
−0.223322 | + | 0.974745i | \(0.571690\pi\) | |||||||
\(318\) | 16.9895 | − | 26.4362i | 0.952724 | − | 1.48247i | ||||
\(319\) | −5.89829 | + | 6.80699i | −0.330241 | + | 0.381118i | ||||
\(320\) | −11.4367 | + | 14.1664i | −0.639333 | + | 0.791927i | ||||
\(321\) | 20.2299 | 1.12912 | ||||||||
\(322\) | −3.91572 | + | 19.4193i | −0.218215 | + | 1.08220i | ||||
\(323\) | − | 7.39154i | − | 0.411277i | ||||||
\(324\) | 0.210035 | + | 0.0616717i | 0.0116686 | + | 0.00342621i | ||||
\(325\) | −1.62387 | − | 23.2839i | −0.0900759 | − | 1.29156i | ||||
\(326\) | −7.60164 | − | 4.88528i | −0.421016 | − | 0.270570i | ||||
\(327\) | 15.1240 | + | 2.17450i | 0.836358 | + | 0.120250i | ||||
\(328\) | 10.2446 | + | 15.9410i | 0.565666 | + | 0.880193i | ||||
\(329\) | 11.3487 | + | 24.8503i | 0.625676 | + | 1.37004i | ||||
\(330\) | −12.2980 | + | 4.08108i | −0.676984 | + | 0.224656i | ||||
\(331\) | −1.19997 | − | 8.34600i | −0.0659565 | − | 0.458738i | −0.995857 | − | 0.0909277i | \(-0.971017\pi\) |
0.929901 | − | 0.367810i | \(-0.119892\pi\) | |||||||
\(332\) | −0.227984 | − | 0.104117i | −0.0125123 | − | 0.00571416i | ||||
\(333\) | 0.245129 | + | 0.834834i | 0.0134330 | + | 0.0457486i | ||||
\(334\) | 13.1388 | − | 3.85789i | 0.718921 | − | 0.211094i | ||||
\(335\) | 17.2632 | − | 16.0441i | 0.943190 | − | 0.876583i | ||||
\(336\) | 4.29664 | + | 29.8838i | 0.234401 | + | 1.63029i | ||||
\(337\) | −2.58459 | + | 2.23956i | −0.140792 | + | 0.121997i | −0.722410 | − | 0.691465i | \(-0.756965\pi\) |
0.581618 | + | 0.813462i | \(0.302420\pi\) | |||||||
\(338\) | 11.2041 | − | 5.11672i | 0.609421 | − | 0.278313i | ||||
\(339\) | −19.9503 | + | 12.8213i | −1.08355 | + | 0.696355i | ||||
\(340\) | 0.0557864 | − | 0.0938335i | 0.00302544 | − | 0.00508884i | ||||
\(341\) | 8.19728 | + | 5.26808i | 0.443908 | + | 0.285282i | ||||
\(342\) | −22.5621 | − | 19.5502i | −1.22002 | − | 1.05715i | ||||
\(343\) | 4.40888 | − | 15.0153i | 0.238057 | − | 0.810748i | ||||
\(344\) | 17.6690 | 0.952649 | ||||||||
\(345\) | 0.597573 | − | 27.9743i | 0.0321723 | − | 1.50609i | ||||
\(346\) | 12.6046 | 0.677628 | ||||||||
\(347\) | 2.04586 | − | 6.96754i | 0.109827 | − | 0.374037i | −0.886177 | − | 0.463348i | \(-0.846648\pi\) |
0.996004 | + | 0.0893103i | \(0.0284663\pi\) | |||||||
\(348\) | −0.414099 | − | 0.358818i | −0.0221980 | − | 0.0192347i | ||||
\(349\) | 29.2341 | + | 18.7876i | 1.56487 | + | 1.00568i | 0.981041 | + | 0.193799i | \(0.0620810\pi\) |
0.583825 | + | 0.811879i | \(0.301555\pi\) | |||||||
\(350\) | −16.5559 | + | 12.3479i | −0.884950 | + | 0.660024i | ||||
\(351\) | 8.27926 | − | 5.32076i | 0.441914 | − | 0.284001i | ||||
\(352\) | 0.301401 | − | 0.137645i | 0.0160648 | − | 0.00733653i | ||||
\(353\) | −18.0897 | + | 15.6748i | −0.962815 | + | 0.834284i | −0.986220 | − | 0.165442i | \(-0.947095\pi\) |
0.0234042 | + | 0.999726i | \(0.492550\pi\) | |||||||
\(354\) | −6.06950 | − | 42.2143i | −0.322590 | − | 2.24367i | ||||
\(355\) | 11.3913 | + | 12.2569i | 0.604590 | + | 0.650529i | ||||
\(356\) | 0.278964 | − | 0.0819113i | 0.0147851 | − | 0.00434129i | ||||
\(357\) | −2.86288 | − | 9.75007i | −0.151520 | − | 0.516028i | ||||
\(358\) | −17.3017 | − | 7.90142i | −0.914423 | − | 0.417603i | ||||
\(359\) | 1.74258 | + | 12.1199i | 0.0919697 | + | 0.639663i | 0.982710 | + | 0.185151i | \(0.0592773\pi\) |
−0.890740 | + | 0.454512i | \(0.849814\pi\) | |||||||
\(360\) | −7.65392 | − | 23.0645i | −0.403397 | − | 1.21561i | ||||
\(361\) | 5.11361 | + | 11.1972i | 0.269137 | + | 0.589328i | ||||
\(362\) | 2.37512 | + | 3.69575i | 0.124833 | + | 0.194244i | ||||
\(363\) | −21.9201 | − | 3.15163i | −1.15051 | − | 0.165418i | ||||
\(364\) | 0.427884 | + | 0.274984i | 0.0224272 | + | 0.0144131i | ||||
\(365\) | 0.610482 | − | 0.304910i | 0.0319541 | − | 0.0159597i | ||||
\(366\) | −11.6254 | − | 3.41351i | −0.607667 | − | 0.178427i | ||||
\(367\) | 0.210443i | 0.0109850i | 0.999985 | + | 0.00549251i | \(0.00174833\pi\) | ||||
−0.999985 | + | 0.00549251i | \(0.998252\pi\) | |||||||
\(368\) | −1.62848 | − | 18.7517i | −0.0848903 | − | 0.977501i | ||||
\(369\) | −25.2836 | −1.31621 | ||||||||
\(370\) | −0.449655 | + | 0.556978i | −0.0233765 | + | 0.0289559i | ||||
\(371\) | −16.5961 | + | 19.1529i | −0.861626 | + | 0.994369i | ||||
\(372\) | −0.320480 | + | 0.498676i | −0.0166161 | + | 0.0258551i | ||||
\(373\) | 11.2723 | + | 1.62071i | 0.583655 | + | 0.0839170i | 0.427817 | − | 0.903866i | \(-0.359283\pi\) |
0.155839 | + | 0.987783i | \(0.450192\pi\) | |||||||
\(374\) | 2.46802 | − | 1.58610i | 0.127618 | − | 0.0820154i | ||||
\(375\) | 19.9349 | − | 21.2979i | 1.02943 | − | 1.09982i | ||||
\(376\) | −17.3182 | − | 19.9862i | −0.893115 | − | 1.03071i | ||||
\(377\) | 26.2551 | − | 3.77491i | 1.35220 | − | 0.194418i | ||||
\(378\) | −7.92164 | − | 3.61769i | −0.407445 | − | 0.186074i | ||||
\(379\) | 8.35975 | − | 2.45465i | 0.429412 | − | 0.126087i | −0.0598825 | − | 0.998205i | \(-0.519073\pi\) |
0.489294 | + | 0.872119i | \(0.337254\pi\) | |||||||
\(380\) | −0.0498360 | + | 0.459713i | −0.00255653 | + | 0.0235828i | ||||
\(381\) | 6.86179 | − | 15.0252i | 0.351540 | − | 0.769766i | ||||
\(382\) | 1.91833 | − | 0.275814i | 0.0981503 | − | 0.0141119i | ||||
\(383\) | −6.13203 | + | 5.31344i | −0.313332 | + | 0.271504i | −0.797302 | − | 0.603581i | \(-0.793740\pi\) |
0.483969 | + | 0.875085i | \(0.339195\pi\) | |||||||
\(384\) | −11.9122 | − | 26.0840i | −0.607890 | − | 1.33109i | ||||
\(385\) | 10.2854 | − | 1.84628i | 0.524190 | − | 0.0940952i | ||||
\(386\) | −0.524239 | + | 3.64616i | −0.0266831 | + | 0.185585i | ||||
\(387\) | −12.7459 | + | 19.8331i | −0.647912 | + | 1.00817i | ||||
\(388\) | 0.158497 | + | 0.137338i | 0.00804646 | + | 0.00697230i | ||||
\(389\) | −29.3900 | − | 8.62967i | −1.49013 | − | 0.437542i | −0.567548 | − | 0.823341i | \(-0.692108\pi\) |
−0.922583 | + | 0.385799i | \(0.873926\pi\) | |||||||
\(390\) | 35.2416 | + | 14.6341i | 1.78453 | + | 0.741027i | ||||
\(391\) | 1.44074 | + | 6.16920i | 0.0728616 | + | 0.311990i | ||||
\(392\) | − | 4.82887i | − | 0.243895i | ||||||
\(393\) | 3.53183 | − | 12.0283i | 0.178157 | − | 0.606747i | ||||
\(394\) | −12.8270 | + | 14.8032i | −0.646215 | + | 0.745772i | ||||
\(395\) | 15.1391 | − | 10.4914i | 0.761732 | − | 0.527881i | ||||
\(396\) | −0.0317474 | + | 0.220808i | −0.00159537 | + | 0.0110960i | ||||
\(397\) | 14.0670 | + | 21.8887i | 0.706004 | + | 1.09856i | 0.990181 | + | 0.139792i | \(0.0446434\pi\) |
−0.284177 | + | 0.958772i | \(0.591720\pi\) | |||||||
\(398\) | 17.2960 | − | 7.89883i | 0.866972 | − | 0.395933i | ||||
\(399\) | 28.1876 | + | 32.5302i | 1.41114 | + | 1.62855i | ||||
\(400\) | 11.7878 | − | 15.6887i | 0.589389 | − | 0.784433i | ||||
\(401\) | −13.4921 | + | 29.5435i | −0.673762 | + | 1.47533i | 0.195358 | + | 0.980732i | \(0.437413\pi\) |
−0.869120 | + | 0.494601i | \(0.835314\pi\) | |||||||
\(402\) | 10.8553 | + | 36.9698i | 0.541414 | + | 1.84389i | ||||
\(403\) | −8.08461 | − | 27.5336i | −0.402723 | − | 1.37155i | ||||
\(404\) | −0.0804412 | + | 0.176142i | −0.00400210 | + | 0.00876338i | ||||
\(405\) | −12.8302 | − | 3.28680i | −0.637536 | − | 0.163323i | ||||
\(406\) | −15.3706 | − | 17.7386i | −0.762828 | − | 0.880351i | ||||
\(407\) | 0.329449 | − | 0.150454i | 0.0163302 | − | 0.00745774i | ||||
\(408\) | 5.31816 | + | 8.27523i | 0.263288 | + | 0.409685i | ||||
\(409\) | −2.99322 | + | 20.8183i | −0.148005 | + | 1.02940i | 0.771474 | + | 0.636261i | \(0.219520\pi\) |
−0.919479 | + | 0.393138i | \(0.871389\pi\) | |||||||
\(410\) | −11.8483 | − | 17.0971i | −0.585148 | − | 0.844367i | ||||
\(411\) | −7.80611 | + | 9.00873i | −0.385047 | + | 0.444368i | ||||
\(412\) | 0.194111 | − | 0.661082i | 0.00956317 | − | 0.0325692i | ||||
\(413\) | 34.3944i | 1.69244i | ||||||||
\(414\) | 22.6417 | + | 11.9194i | 1.11278 | + | 0.585805i | ||||
\(415\) | 14.0049 | + | 5.81556i | 0.687475 | + | 0.285475i | ||||
\(416\) | −0.936268 | − | 0.274913i | −0.0459043 | − | 0.0134787i | ||||
\(417\) | −30.0038 | − | 25.9984i | −1.46929 | − | 1.27315i | ||||
\(418\) | −6.71852 | + | 10.4542i | −0.328614 | + | 0.511333i | ||||
\(419\) | 1.82939 | − | 12.7237i | 0.0893716 | − | 0.621593i | −0.895076 | − | 0.445914i | \(-0.852879\pi\) |
0.984447 | − | 0.175679i | \(-0.0562122\pi\) | |||||||
\(420\) | 0.112317 | + | 0.625702i | 0.00548052 | + | 0.0305311i | ||||
\(421\) | −10.5373 | − | 23.0735i | −0.513558 | − | 1.12453i | −0.971821 | − | 0.235718i | \(-0.924256\pi\) |
0.458264 | − | 0.888816i | \(-0.348471\pi\) | |||||||
\(422\) | 6.71997 | − | 5.82288i | 0.327123 | − | 0.283454i | ||||
\(423\) | 34.9269 | − | 5.02173i | 1.69820 | − | 0.244165i | ||||
\(424\) | 10.1912 | − | 22.3156i | 0.494929 | − | 1.08374i | ||||
\(425\) | −3.17565 | + | 5.79137i | −0.154042 | + | 0.280923i | ||||
\(426\) | −26.2486 | + | 7.70729i | −1.27175 | + | 0.373419i | ||||
\(427\) | 8.88823 | + | 4.05912i | 0.430132 | + | 0.196435i | ||||
\(428\) | 0.283622 | − | 0.0407787i | 0.0137094 | − | 0.00197111i | ||||
\(429\) | −12.6433 | − | 14.5911i | −0.610424 | − | 0.704466i | ||||
\(430\) | −19.3844 | + | 0.675132i | −0.934798 | + | 0.0325577i | ||||
\(431\) | 16.3004 | − | 10.4756i | 0.785163 | − | 0.504594i | −0.0855803 | − | 0.996331i | \(-0.527274\pi\) |
0.870743 | + | 0.491738i | \(0.163638\pi\) | |||||||
\(432\) | 8.19012 | + | 1.17756i | 0.394047 | + | 0.0566554i | ||||
\(433\) | −4.18197 | + | 6.50727i | −0.200973 | + | 0.312720i | −0.927081 | − | 0.374860i | \(-0.877691\pi\) |
0.726109 | + | 0.687580i | \(0.241327\pi\) | |||||||
\(434\) | −16.6286 | + | 19.1904i | −0.798198 | + | 0.921170i | ||||
\(435\) | 25.7952 | + | 20.8248i | 1.23678 | + | 0.998471i | ||||
\(436\) | 0.216421 | 0.0103647 | ||||||||
\(437\) | −16.4069 | − | 21.2352i | −0.784849 | − | 1.01582i | ||||
\(438\) | 1.11564i | 0.0533073i | ||||||||
\(439\) | 23.5703 | + | 6.92087i | 1.12495 | + | 0.330315i | 0.790721 | − | 0.612177i | \(-0.209706\pi\) |
0.334229 | + | 0.942492i | \(0.391524\pi\) | |||||||
\(440\) | −9.04966 | + | 4.51992i | −0.431425 | + | 0.215479i | ||||
\(441\) | 5.42030 | + | 3.48342i | 0.258110 | + | 0.165877i | ||||
\(442\) | −8.55181 | − | 1.22956i | −0.406768 | − | 0.0584844i | ||||
\(443\) | −14.9111 | − | 23.2021i | −0.708446 | − | 1.10236i | −0.989759 | − | 0.142748i | \(-0.954406\pi\) |
0.281313 | − | 0.959616i | \(-0.409230\pi\) | |||||||
\(444\) | 0.00915277 | + | 0.0200418i | 0.000434371 | + | 0.000951140i | ||||
\(445\) | −16.6958 | + | 5.54047i | −0.791456 | + | 0.262644i | ||||
\(446\) | 1.92177 | + | 13.3662i | 0.0909985 | + | 0.632909i | ||||
\(447\) | 23.4721 | + | 10.7194i | 1.11019 | + | 0.507008i | ||||
\(448\) | 6.76308 | + | 23.0329i | 0.319526 | + | 1.08820i | ||||
\(449\) | −29.4956 | + | 8.66069i | −1.39198 | + | 0.408723i | −0.889923 | − | 0.456110i | \(-0.849242\pi\) |
−0.502059 | + | 0.864833i | \(0.667424\pi\) | |||||||
\(450\) | 9.27829 | + | 25.0112i | 0.437383 | + | 1.17904i | ||||
\(451\) | 1.49780 | + | 10.4174i | 0.0705284 | + | 0.490536i | ||||
\(452\) | −0.253857 | + | 0.219968i | −0.0119404 | + | 0.0103464i | ||||
\(453\) | −43.0027 | + | 19.6387i | −2.02044 | + | 0.922705i | ||||
\(454\) | −22.1239 | + | 14.2181i | −1.03832 | + | 0.667291i | ||||
\(455\) | −26.4522 | − | 15.7265i | −1.24010 | − | 0.737270i | ||||
\(456\) | −35.0528 | − | 22.5271i | −1.64150 | − | 1.05493i | ||||
\(457\) | 6.82146 | + | 5.91082i | 0.319094 | + | 0.276497i | 0.799649 | − | 0.600468i | \(-0.205019\pi\) |
−0.480554 | + | 0.876965i | \(0.659565\pi\) | |||||||
\(458\) | −6.55621 | + | 22.3284i | −0.306352 | + | 1.04334i | ||||
\(459\) | −2.78497 | −0.129991 | ||||||||
\(460\) | −0.0480117 | − | 0.393403i | −0.00223856 | − | 0.0183425i | ||||
\(461\) | 30.1893 | 1.40606 | 0.703028 | − | 0.711162i | \(-0.251831\pi\) | ||||
0.703028 | + | 0.711162i | \(0.251831\pi\) | |||||||
\(462\) | −4.81319 | + | 16.3922i | −0.223930 | + | 0.762635i | ||||
\(463\) | 21.9850 | + | 19.0501i | 1.02173 | + | 0.885332i | 0.993450 | − | 0.114268i | \(-0.0364521\pi\) |
0.0282782 | + | 0.999600i | \(0.490998\pi\) | |||||||
\(464\) | 18.7608 | + | 12.0568i | 0.870949 | + | 0.559725i | ||||
\(465\) | 18.3284 | − | 30.8286i | 0.849959 | − | 1.42964i | ||||
\(466\) | −15.9214 | + | 10.2320i | −0.737544 | + | 0.473990i | ||||
\(467\) | −19.4254 | + | 8.87127i | −0.898899 | + | 0.410513i | −0.810613 | − | 0.585582i | \(-0.800866\pi\) |
−0.0882857 | + | 0.996095i | \(0.528139\pi\) | |||||||
\(468\) | 0.496495 | − | 0.430215i | 0.0229505 | − | 0.0198867i | ||||
\(469\) | −4.42222 | − | 30.7572i | −0.204199 | − | 1.42024i | ||||
\(470\) | 19.7631 | + | 21.2648i | 0.911605 | + | 0.980873i | ||||
\(471\) | −56.5641 | + | 16.6087i | −2.60634 | + | 0.765289i | ||||
\(472\) | −9.38020 | − | 31.9460i | −0.431758 | − | 1.47043i | ||||
\(473\) | 8.92673 | + | 4.07670i | 0.410451 | + | 0.187447i | ||||
\(474\) | 4.28557 | + | 29.8068i | 0.196843 | + | 1.36907i | ||||
\(475\) | 2.04530 | − | 27.9026i | 0.0938449 | − | 1.28026i | ||||
\(476\) | −0.0597912 | − | 0.130925i | −0.00274053 | − | 0.00600092i | ||||
\(477\) | 17.6971 | + | 27.5373i | 0.810297 | + | 1.26085i | ||||
\(478\) | −5.42400 | − | 0.779853i | −0.248088 | − | 0.0356696i | ||||
\(479\) | 21.8930 | + | 14.0698i | 1.00032 | + | 0.642865i | 0.934870 | − | 0.354991i | \(-0.115516\pi\) |
0.0654482 | + | 0.997856i | \(0.479152\pi\) | |||||||
\(480\) | −0.544943 | − | 1.09107i | −0.0248731 | − | 0.0498003i | ||||
\(481\) | −1.02339 | − | 0.300495i | −0.0466627 | − | 0.0137014i | ||||
\(482\) | − | 13.6584i | − | 0.622123i | ||||||
\(483\) | −29.8669 | − | 21.6564i | −1.35899 | − | 0.985399i | ||||
\(484\) | −0.313671 | −0.0142578 | ||||||||
\(485\) | −9.87315 | − | 7.97072i | −0.448317 | − | 0.361932i | ||||
\(486\) | 19.9830 | − | 23.0616i | 0.906447 | − | 1.04610i | ||||
\(487\) | 8.74048 | − | 13.6005i | 0.396069 | − | 0.616295i | −0.584751 | − | 0.811213i | \(-0.698808\pi\) |
0.980820 | + | 0.194918i | \(0.0624440\pi\) | |||||||
\(488\) | −9.36254 | − | 1.34613i | −0.423822 | − | 0.0609364i | ||||
\(489\) | 14.1564 | − | 9.09775i | 0.640174 | − | 0.411415i | ||||
\(490\) | 0.184511 | + | 5.29768i | 0.00833536 | + | 0.239325i | ||||
\(491\) | −11.1213 | − | 12.8347i | −0.501899 | − | 0.579223i | 0.447107 | − | 0.894481i | \(-0.352454\pi\) |
−0.949006 | + | 0.315258i | \(0.897909\pi\) | |||||||
\(492\) | −0.633735 | + | 0.0911173i | −0.0285710 | + | 0.00410788i | ||||
\(493\) | −6.82776 | − | 3.11813i | −0.307507 | − | 0.140434i | ||||
\(494\) | 35.1144 | − | 10.3105i | 1.57987 | − | 0.463893i | ||||
\(495\) | 1.45467 | − | 13.4186i | 0.0653824 | − | 0.603120i | ||||
\(496\) | 10.0224 | − | 21.9461i | 0.450020 | − | 0.985407i | ||||
\(497\) | 21.8377 | − | 3.13978i | 0.979553 | − | 0.140839i | ||||
\(498\) | −18.7367 | + | 16.2354i | −0.839611 | + | 0.727527i | ||||
\(499\) | −8.55147 | − | 18.7251i | −0.382816 | − | 0.838251i | −0.998727 | − | 0.0504351i | \(-0.983939\pi\) |
0.615911 | − | 0.787816i | \(-0.288788\pi\) | |||||||
\(500\) | 0.236555 | − | 0.338779i | 0.0105791 | − | 0.0151507i | ||||
\(501\) | −3.62917 | + | 25.2415i | −0.162139 | + | 1.12770i | ||||
\(502\) | 13.0288 | − | 20.2731i | 0.581502 | − | 0.904834i | ||||
\(503\) | −4.26993 | − | 3.69991i | −0.190387 | − | 0.164971i | 0.554452 | − | 0.832216i | \(-0.312928\pi\) |
−0.744838 | + | 0.667245i | \(0.767473\pi\) | |||||||
\(504\) | −30.7430 | − | 9.02695i | −1.36940 | − | 0.402092i | ||||
\(505\) | 4.49313 | − | 10.8203i | 0.199942 | − | 0.481495i | ||||
\(506\) | 3.56976 | − | 10.0350i | 0.158695 | − | 0.446108i | ||||
\(507\) | 22.9380i | 1.01871i | ||||||||
\(508\) | 0.0659147 | − | 0.224485i | 0.00292449 | − | 0.00995990i | ||||
\(509\) | −23.0053 | + | 26.5496i | −1.01969 | + | 1.17679i | −0.0355580 | + | 0.999368i | \(0.511321\pi\) |
−0.984135 | + | 0.177421i | \(0.943225\pi\) | |||||||
\(510\) | −6.15067 | − | 8.87541i | −0.272356 | − | 0.393010i | ||||
\(511\) | 0.128044 | − | 0.890564i | 0.00566432 | − | 0.0393962i | ||||
\(512\) | −12.5549 | − | 19.5359i | −0.554855 | − | 0.863372i | ||||
\(513\) | 10.7307 | − | 4.90056i | 0.473773 | − | 0.216365i | ||||
\(514\) | 8.15743 | + | 9.41418i | 0.359809 | + | 0.415242i | ||||
\(515\) | −10.3452 | + | 40.3828i | −0.455863 | + | 1.77948i | ||||
\(516\) | −0.248003 | + | 0.543051i | −0.0109177 | + | 0.0239065i | ||||
\(517\) | −4.13813 | − | 14.0932i | −0.181995 | − | 0.619817i | ||||
\(518\) | 0.265903 | + | 0.905581i | 0.0116831 | + | 0.0397889i | ||||
\(519\) | −9.75117 | + | 21.3521i | −0.428029 | + | 0.937252i | ||||
\(520\) | 28.8582 | + | 7.39283i | 1.26552 | + | 0.324197i | ||||
\(521\) | 6.79035 | + | 7.83648i | 0.297491 | + | 0.343323i | 0.884741 | − | 0.466083i | \(-0.154335\pi\) |
−0.587250 | + | 0.809405i | \(0.699790\pi\) | |||||||
\(522\) | −27.5768 | + | 12.5939i | −1.20701 | + | 0.551221i | ||||
\(523\) | −21.3504 | − | 33.2219i | −0.933589 | − | 1.45269i | −0.891210 | − | 0.453592i | \(-0.850142\pi\) |
−0.0423796 | − | 0.999102i | \(-0.513494\pi\) | |||||||
\(524\) | 0.0252698 | − | 0.175755i | 0.00110392 | − | 0.00767791i | ||||
\(525\) | −8.10927 | − | 37.5981i | −0.353918 | − | 1.64092i | ||||
\(526\) | 2.37990 | − | 2.74655i | 0.103769 | − | 0.119755i | ||||
\(527\) | −2.28779 | + | 7.79148i | −0.0996575 | + | 0.339402i | ||||
\(528\) | − | 16.2323i | − | 0.706420i | ||||||
\(529\) | 17.8328 | + | 14.5255i | 0.775339 | + | 0.631545i | ||||
\(530\) | −10.3279 | + | 24.8715i | −0.448617 | + | 1.08035i | ||||
\(531\) | 42.6253 | + | 12.5159i | 1.84978 | + | 0.543145i | ||||
\(532\) | 0.460761 | + | 0.399252i | 0.0199765 | + | 0.0173098i | ||||
\(533\) | 16.7568 | − | 26.0740i | 0.725816 | − | 1.12939i | ||||
\(534\) | 4.09291 | − | 28.4668i | 0.177118 | − | 1.23188i | ||||
\(535\) | −17.0640 | + | 3.06310i | −0.737743 | + | 0.132429i | ||||
\(536\) | 12.4957 | + | 27.3617i | 0.539731 | + | 1.18185i | ||||
\(537\) | 26.7698 | − | 23.1962i | 1.15520 | − | 1.00099i | ||||
\(538\) | −3.80269 | + | 0.546744i | −0.163945 | + | 0.0235718i | ||||
\(539\) | 1.11415 | − | 2.43964i | 0.0479897 | − | 0.105083i | ||||
\(540\) | 0.173210 | + | 0.0187771i | 0.00745376 | + | 0.000808038i | ||||
\(541\) | 4.70539 | − | 1.38163i | 0.202300 | − | 0.0594007i | −0.179013 | − | 0.983847i | \(-0.557290\pi\) |
0.381313 | + | 0.924446i | \(0.375472\pi\) | |||||||
\(542\) | −17.6647 | − | 8.06721i | −0.758765 | − | 0.346516i | ||||
\(543\) | −8.09800 | + | 1.16432i | −0.347519 | + | 0.0499656i | ||||
\(544\) | 0.180827 | + | 0.208686i | 0.00775290 | + | 0.00894732i | ||||
\(545\) | −13.0864 | + | 0.455783i | −0.560561 | + | 0.0195236i | ||||
\(546\) | 42.3254 | − | 27.2009i | 1.81136 | − | 1.16409i | ||||
\(547\) | 19.3788 | + | 2.78626i | 0.828579 | + | 0.119132i | 0.543539 | − | 0.839384i | \(-0.317084\pi\) |
0.285040 | + | 0.958516i | \(0.407993\pi\) | |||||||
\(548\) | −0.0912818 | + | 0.142037i | −0.00389936 | + | 0.00606753i | ||||
\(549\) | 8.26488 | − | 9.53818i | 0.352736 | − | 0.407079i | ||||
\(550\) | 9.75553 | − | 5.30452i | 0.415977 | − | 0.226185i | ||||
\(551\) | 31.7947 | 1.35450 | ||||||||
\(552\) | 33.6470 | + | 11.9693i | 1.43211 | + | 0.509448i | ||||
\(553\) | − | 24.2853i | − | 1.03272i | ||||||
\(554\) | −3.93860 | − | 1.15648i | −0.167335 | − | 0.0491340i | ||||
\(555\) | −0.595653 | − | 1.19260i | −0.0252841 | − | 0.0506231i | ||||
\(556\) | −0.473058 | − | 0.304016i | −0.0200621 | − | 0.0128932i | ||||
\(557\) | 20.7623 | + | 2.98516i | 0.879725 | + | 0.126485i | 0.567353 | − | 0.823474i | \(-0.307967\pi\) |
0.312372 | + | 0.949960i | \(0.398876\pi\) | |||||||
\(558\) | 17.7318 | + | 27.5913i | 0.750648 | + | 1.16803i | ||||
\(559\) | −12.0057 | − | 26.2888i | −0.507787 | − | 1.11190i | ||||
\(560\) | −8.14907 | − | 24.5566i | −0.344361 | − | 1.03770i | ||||
\(561\) | 0.777531 | + | 5.40784i | 0.0328274 | + | 0.228319i | ||||
\(562\) | −31.1611 | − | 14.2308i | −1.31445 | − | 0.600289i | ||||
\(563\) | 0.692647 | + | 2.35894i | 0.0291916 | + | 0.0994174i | 0.972800 | − | 0.231645i | \(-0.0744109\pi\) |
−0.943609 | + | 0.331063i | \(0.892593\pi\) | |||||||
\(564\) | 0.857348 | − | 0.251740i | 0.0361009 | − | 0.0106002i | ||||
\(565\) | 14.8868 | − | 13.8356i | 0.626294 | − | 0.582067i | ||||
\(566\) | −3.96998 | − | 27.6118i | −0.166871 | − | 1.16061i | ||||
\(567\) | −13.1974 | + | 11.4356i | −0.554237 | + | 0.480249i | ||||
\(568\) | −19.4268 | + | 8.87194i | −0.815132 | + | 0.372258i | ||||
\(569\) | −4.13174 | + | 2.65531i | −0.173212 | + | 0.111316i | −0.624374 | − | 0.781126i | \(-0.714646\pi\) |
0.451162 | + | 0.892442i | \(0.351010\pi\) | |||||||
\(570\) | 39.3166 | + | 23.3747i | 1.64679 | + | 0.979059i | ||||
\(571\) | −6.45163 | − | 4.14621i | −0.269992 | − | 0.173514i | 0.398638 | − | 0.917108i | \(-0.369483\pi\) |
−0.668631 | + | 0.743595i | \(0.733119\pi\) | |||||||
\(572\) | −0.206670 | − | 0.179081i | −0.00864133 | − | 0.00748775i | ||||
\(573\) | −1.01683 | + | 3.46301i | −0.0424787 | + | 0.144669i | ||||
\(574\) | −27.4262 | −1.14475 | ||||||||
\(575\) | 3.73166 | + | 23.6870i | 0.155621 | + | 0.987817i | ||||
\(576\) | 31.0060 | 1.29192 | ||||||||
\(577\) | −9.77699 | + | 33.2974i | −0.407021 | + | 1.38619i | 0.460001 | + | 0.887918i | \(0.347849\pi\) |
−0.867022 | + | 0.498269i | \(0.833969\pi\) | |||||||
\(578\) | −16.1531 | − | 13.9967i | −0.671880 | − | 0.582187i | ||||
\(579\) | −5.77100 | − | 3.70880i | −0.239835 | − | 0.154132i | ||||
\(580\) | 0.403625 | + | 0.239965i | 0.0167596 | + | 0.00996401i | ||||
\(581\) | 16.8200 | − | 10.8096i | 0.697812 | − | 0.448457i | ||||
\(582\) | 18.8705 | − | 8.61788i | 0.782209 | − | 0.357223i | ||||
\(583\) | 10.2976 | − | 8.92292i | 0.426483 | − | 0.369550i | ||||
\(584\) | 0.123950 | + | 0.862089i | 0.00512908 | + | 0.0356735i | ||||
\(585\) | −29.1158 | + | 27.0597i | −1.20379 | + | 1.11878i | ||||
\(586\) | 15.0794 | − | 4.42770i | 0.622923 | − | 0.182907i | ||||
\(587\) | 6.36972 | + | 21.6933i | 0.262906 | + | 0.895377i | 0.980100 | + | 0.198503i | \(0.0636080\pi\) |
−0.717194 | + | 0.696874i | \(0.754574\pi\) | |||||||
\(588\) | 0.148414 | + | 0.0677783i | 0.00612048 | + | 0.00279513i | ||||
\(589\) | −4.89521 | − | 34.0469i | −0.201704 | − | 1.40288i | ||||
\(590\) | 11.5115 | + | 34.6890i | 0.473922 | + | 1.42813i | ||||
\(591\) | −15.1532 | − | 33.1808i | −0.623318 | − | 1.36488i | ||||
\(592\) | −0.484818 | − | 0.754391i | −0.0199259 | − | 0.0310053i | ||||
\(593\) | −13.3866 | − | 1.92471i | −0.549723 | − | 0.0790383i | −0.138144 | − | 0.990412i | \(-0.544114\pi\) |
−0.411579 | + | 0.911374i | \(0.635023\pi\) | |||||||
\(594\) | 3.93892 | + | 2.53139i | 0.161616 | + | 0.103864i | ||||
\(595\) | 3.89116 | + | 7.79077i | 0.159522 | + | 0.319390i | ||||
\(596\) | 0.350686 | + | 0.102971i | 0.0143646 | + | 0.00421784i | ||||
\(597\) | 35.4100i | 1.44923i | ||||||||
\(598\) | −27.2978 | + | 15.4499i | −1.11629 | + | 0.631793i | ||||
\(599\) | 24.1718 | 0.987634 | 0.493817 | − | 0.869566i | \(-0.335601\pi\) | ||||
0.493817 | + | 0.869566i | \(0.335601\pi\) | |||||||
\(600\) | 17.7859 | + | 32.7101i | 0.726108 | + | 1.33538i | ||||
\(601\) | 3.63800 | − | 4.19847i | 0.148397 | − | 0.171259i | −0.676684 | − | 0.736273i | \(-0.736584\pi\) |
0.825081 | + | 0.565014i | \(0.191129\pi\) | |||||||
\(602\) | −13.8261 | + | 21.5138i | −0.563509 | + | 0.876836i | ||||
\(603\) | −39.7269 | − | 5.71187i | −1.61781 | − | 0.232605i | ||||
\(604\) | −0.563308 | + | 0.362016i | −0.0229207 | + | 0.0147302i | ||||
\(605\) | 18.9669 | − | 0.660592i | 0.771115 | − | 0.0268569i | ||||
\(606\) | 12.5436 | + | 14.4760i | 0.509547 | + | 0.588049i | ||||
\(607\) | 13.6988 | − | 1.96959i | 0.556016 | − | 0.0799431i | 0.141422 | − | 0.989949i | \(-0.454833\pi\) |
0.414594 | + | 0.910006i | \(0.363923\pi\) | |||||||
\(608\) | −1.06396 | − | 0.485892i | −0.0431491 | − | 0.0197055i | ||||
\(609\) | 41.9399 | − | 12.3147i | 1.69949 | − | 0.499016i | ||||
\(610\) | 10.3229 | + | 1.11907i | 0.417963 | + | 0.0453100i | ||||
\(611\) | −17.9692 | + | 39.3470i | −0.726955 | + | 1.59181i | ||||
\(612\) | −0.184014 | + | 0.0264572i | −0.00743831 | + | 0.00106947i | ||||
\(613\) | −2.55345 | + | 2.21258i | −0.103133 | + | 0.0893651i | −0.704901 | − | 0.709306i | \(-0.749009\pi\) |
0.601768 | + | 0.798671i | \(0.294463\pi\) | |||||||
\(614\) | −4.42484 | − | 9.68906i | −0.178572 | − | 0.391019i | ||||
\(615\) | 38.1285 | − | 6.84428i | 1.53749 | − | 0.275988i | ||||
\(616\) | −1.89809 | + | 13.2015i | −0.0764764 | + | 0.531905i | ||||
\(617\) | 20.9757 | − | 32.6389i | 0.844451 | − | 1.31399i | −0.103192 | − | 0.994661i | \(-0.532906\pi\) |
0.947643 | − | 0.319331i | \(-0.103458\pi\) | |||||||
\(618\) | −51.5070 | − | 44.6311i | −2.07192 | − | 1.79533i | ||||
\(619\) | 2.59883 | + | 0.763087i | 0.104456 | + | 0.0306710i | 0.333543 | − | 0.942735i | \(-0.391756\pi\) |
−0.229087 | + | 0.973406i | \(0.573574\pi\) | |||||||
\(620\) | 0.194820 | − | 0.469162i | 0.00782416 | − | 0.0188420i | ||||
\(621\) | −8.00097 | + | 6.18176i | −0.321068 | + | 0.248066i | ||||
\(622\) | − | 24.1785i | − | 0.969471i | ||||||
\(623\) | −6.53437 | + | 22.2540i | −0.261794 | + | 0.891589i | ||||
\(624\) | −31.3046 | + | 36.1274i | −1.25319 | + | 1.44625i | ||||
\(625\) | −13.5904 | + | 20.9833i | −0.543617 | + | 0.839334i | ||||
\(626\) | −0.540786 | + | 3.76125i | −0.0216142 | + | 0.150330i | ||||
\(627\) | −12.5118 | − | 19.4687i | −0.499672 | − | 0.777505i | ||||
\(628\) | −0.759546 | + | 0.346873i | −0.0303092 | + | 0.0138418i | ||||
\(629\) | 0.197654 | + | 0.228105i | 0.00788099 | + | 0.00909515i | ||||
\(630\) | 34.0725 | + | 8.72864i | 1.35748 | + | 0.347757i | ||||
\(631\) | −16.5157 | + | 36.1643i | −0.657480 | + | 1.43968i | 0.227373 | + | 0.973808i | \(0.426986\pi\) |
−0.884852 | + | 0.465872i | \(0.845741\pi\) | |||||||
\(632\) | 6.62319 | + | 22.5565i | 0.263456 | + | 0.897250i | ||||
\(633\) | 4.66521 | + | 15.8883i | 0.185426 | + | 0.631501i | ||||
\(634\) | −1.70629 | + | 3.73626i | −0.0677655 | + | 0.148386i | ||||
\(635\) | −3.51293 | + | 13.7129i | −0.139406 | + | 0.544178i | ||||
\(636\) | 0.542819 | + | 0.626447i | 0.0215242 | + | 0.0248402i | ||||
\(637\) | −7.18464 | + | 3.28111i | −0.284666 | + | 0.130002i | ||||
\(638\) | 6.82262 | + | 10.6162i | 0.270110 | + | 0.420299i | ||||
\(639\) | 4.05544 | − | 28.2062i | 0.160431 | − | 1.11582i | ||||
\(640\) | 13.9975 | + | 20.1983i | 0.553299 | + | 0.798410i | ||||
\(641\) | −6.33688 | + | 7.31315i | −0.250292 | + | 0.288852i | −0.866967 | − | 0.498366i | \(-0.833934\pi\) |
0.616675 | + | 0.787218i | \(0.288479\pi\) | |||||||
\(642\) | 7.98538 | − | 27.1957i | 0.315158 | − | 1.07333i | ||||
\(643\) | 32.3558i | 1.27599i | 0.770041 | + | 0.637994i | \(0.220235\pi\) | ||||
−0.770041 | + | 0.637994i | \(0.779765\pi\) | |||||||
\(644\) | −0.462386 | − | 0.243417i | −0.0182206 | − | 0.00959196i | ||||
\(645\) | 13.8525 | − | 33.3592i | 0.545440 | − | 1.31352i | ||||
\(646\) | −9.93669 | − | 2.91768i | −0.390954 | − | 0.114794i | ||||
\(647\) | 16.6254 | + | 14.4060i | 0.653611 | + | 0.566357i | 0.917274 | − | 0.398258i | \(-0.130385\pi\) |
−0.263662 | + | 0.964615i | \(0.584930\pi\) | |||||||
\(648\) | 9.13914 | − | 14.2208i | 0.359019 | − | 0.558645i | ||||
\(649\) | 2.63172 | − | 18.3040i | 0.103304 | − | 0.718495i | ||||
\(650\) | −31.9423 | − | 7.00789i | −1.25288 | − | 0.274872i | ||||
\(651\) | −19.6442 | − | 43.0148i | −0.769916 | − | 1.68588i | ||||
\(652\) | 0.180133 | − | 0.156086i | 0.00705454 | − | 0.00611280i | ||||
\(653\) | 2.06514 | − | 0.296923i | 0.0808152 | − | 0.0116195i | −0.101789 | − | 0.994806i | \(-0.532457\pi\) |
0.182604 | + | 0.983187i | \(0.441547\pi\) | |||||||
\(654\) | 8.89317 | − | 19.4733i | 0.347750 | − | 0.761467i | ||||
\(655\) | −1.15786 | + | 10.6807i | −0.0452414 | + | 0.417330i | ||||
\(656\) | 25.0030 | − | 7.34153i | 0.976202 | − | 0.286639i | ||||
\(657\) | −1.05709 | − | 0.482757i | −0.0412410 | − | 0.0188341i | ||||
\(658\) | 37.8867 | − | 5.44729i | 1.47698 | − | 0.212358i | ||||
\(659\) | 2.87363 | + | 3.31634i | 0.111941 | + | 0.129186i | 0.808954 | − | 0.587871i | \(-0.200034\pi\) |
−0.697014 | + | 0.717058i | \(0.745488\pi\) | |||||||
\(660\) | −0.0118968 | − | 0.341580i | −0.000463081 | − | 0.0132960i | ||||
\(661\) | −18.4504 | + | 11.8574i | −0.717639 | + | 0.461199i | −0.847815 | − | 0.530292i | \(-0.822082\pi\) |
0.130176 | + | 0.991491i | \(0.458446\pi\) | |||||||
\(662\) | −11.6935 | − | 1.68127i | −0.454480 | − | 0.0653443i | ||||
\(663\) | 8.69871 | − | 13.5355i | 0.337830 | − | 0.525674i | ||||
\(664\) | −12.6746 | + | 14.6273i | −0.491871 | + | 0.567650i | ||||
\(665\) | −28.7019 | − | 23.1714i | −1.11301 | − | 0.898549i | ||||
\(666\) | 1.21906 | 0.0472374 | ||||||||
\(667\) | −26.5368 | + | 6.19737i | −1.02751 | + | 0.239963i | ||||
\(668\) | 0.361199i | 0.0139752i | ||||||||
\(669\) | −24.1290 | − | 7.08490i | −0.932879 | − | 0.273918i | ||||
\(670\) | −14.7543 | − | 29.5406i | −0.570008 | − | 1.14125i | ||||
\(671\) | −4.41955 | − | 2.84027i | −0.170615 | − | 0.109647i | ||||
\(672\) | −1.59164 | − | 0.228843i | −0.0613989 | − | 0.00882783i | ||||
\(673\) | 17.8662 | + | 27.8003i | 0.688690 | + | 1.07162i | 0.992892 | + | 0.119016i | \(0.0379738\pi\) |
−0.304202 | + | 0.952608i | \(0.598390\pi\) | |||||||
\(674\) | 1.99050 | + | 4.35858i | 0.0766711 | + | 0.167886i | ||||
\(675\) | −10.5131 | − | 0.770625i | −0.404650 | − | 0.0296614i | ||||
\(676\) | 0.0462375 | + | 0.321589i | 0.00177837 | + | 0.0123688i | ||||
\(677\) | 28.8393 | + | 13.1705i | 1.10838 | + | 0.506182i | 0.883608 | − | 0.468228i | \(-0.155107\pi\) |
0.224777 | + | 0.974410i | \(0.427835\pi\) | |||||||
\(678\) | 9.36103 | + | 31.8807i | 0.359508 | + | 1.22437i | ||||
\(679\) | −16.0526 | + | 4.71346i | −0.616042 | + | 0.180886i | ||||
\(680\) | −5.73889 | − | 6.17496i | −0.220077 | − | 0.236799i | ||||
\(681\) | −6.96995 | − | 48.4770i | −0.267089 | − | 1.85764i | ||||
\(682\) | 10.3178 | − | 8.94040i | 0.395088 | − | 0.342346i | ||||
\(683\) | 14.1586 | − | 6.46599i | 0.541762 | − | 0.247414i | −0.125687 | − | 0.992070i | \(-0.540114\pi\) |
0.667449 | + | 0.744656i | \(0.267386\pi\) | |||||||
\(684\) | 0.662465 | − | 0.425741i | 0.0253300 | − | 0.0162786i | ||||
\(685\) | 5.22045 | − | 8.78088i | 0.199463 | − | 0.335500i | ||||
\(686\) | −18.4452 | − | 11.8540i | −0.704240 | − | 0.452588i | ||||
\(687\) | −32.7521 | − | 28.3798i | −1.24957 | − | 1.08276i | ||||
\(688\) | 6.84559 | − | 23.3139i | 0.260986 | − | 0.888836i | ||||
\(689\) | −40.1270 | −1.52872 | ||||||||
\(690\) | −37.3709 | − | 11.8457i | −1.42269 | − | 0.450958i | ||||
\(691\) | −42.2733 | −1.60815 | −0.804076 | − | 0.594527i | \(-0.797339\pi\) | ||||
−0.804076 | + | 0.594527i | \(0.797339\pi\) | |||||||
\(692\) | −0.0936701 | + | 0.319011i | −0.00356080 | + | 0.0121270i | ||||
\(693\) | −13.4492 | − | 11.6538i | −0.510893 | − | 0.442691i | ||||
\(694\) | −8.55913 | − | 5.50062i | −0.324900 | − | 0.208801i | ||||
\(695\) | 29.2449 | + | 17.3868i | 1.10932 | + | 0.659520i | ||||
\(696\) | −35.5959 | + | 22.8761i | −1.34926 | + | 0.867116i | ||||
\(697\) | −7.97817 | + | 3.64351i | −0.302195 | + | 0.138008i | ||||
\(698\) | 36.7964 | − | 31.8843i | 1.39277 | − | 1.20684i | ||||
\(699\) | −5.01590 | − | 34.8864i | −0.189719 | − | 1.31952i | ||||
\(700\) | −0.189481 | − | 0.510777i | −0.00716169 | − | 0.0193056i | ||||
\(701\) | 41.6290 | − | 12.2234i | 1.57231 | − | 0.461671i | 0.624635 | − | 0.780917i | \(-0.285248\pi\) |
0.947672 | + | 0.319246i | \(0.103430\pi\) | |||||||
\(702\) | −3.88478 | − | 13.2303i | −0.146622 | − | 0.499347i | ||||
\(703\) | −1.16296 | − | 0.531107i | −0.0438620 | − | 0.0200311i | ||||
\(704\) | −1.83679 | − | 12.7751i | −0.0692266 | − | 0.481481i | ||||
\(705\) | −51.3115 | + | 17.0277i | −1.93250 | + | 0.641299i | ||||
\(706\) | 13.9316 | + | 30.5058i | 0.524321 | + | 1.14810i | ||||
\(707\) | −8.35152 | − | 12.9952i | −0.314091 | − | 0.488736i | ||||
\(708\) | 1.11351 | + | 0.160099i | 0.0418483 | + | 0.00601688i | ||||
\(709\) | 30.2132 | + | 19.4168i | 1.13468 | + | 0.729215i | 0.966532 | − | 0.256547i | \(-0.0825849\pi\) |
0.168148 | + | 0.985762i | \(0.446221\pi\) | |||||||
\(710\) | 20.9739 | − | 10.4756i | 0.787136 | − | 0.393141i | ||||
\(711\) | −30.0970 | − | 8.83727i | −1.12873 | − | 0.331424i | ||||
\(712\) | − | 22.4519i | − | 0.841422i | ||||||
\(713\) | 10.7220 | + | 27.4624i | 0.401544 | + | 1.02847i | ||||
\(714\) | −14.2374 | −0.532821 | ||||||||
\(715\) | 12.8740 | + | 10.3933i | 0.481460 | + | 0.388689i | ||||
\(716\) | 0.328554 | − | 0.379171i | 0.0122786 | − | 0.0141703i | ||||
\(717\) | 5.51717 | − | 8.58489i | 0.206043 | − | 0.320608i | ||||
\(718\) | 16.9810 | + | 2.44150i | 0.633725 | + | 0.0911160i | ||||
\(719\) | 0.284312 | − | 0.182716i | 0.0106030 | − | 0.00681416i | −0.535329 | − | 0.844644i | \(-0.679812\pi\) |
0.545932 | + | 0.837830i | \(0.316176\pi\) | |||||||
\(720\) | −33.3986 | + | 1.16323i | −1.24469 | + | 0.0433509i | ||||
\(721\) | 35.9934 | + | 41.5386i | 1.34046 | + | 1.54698i | ||||
\(722\) | 17.0713 | − | 2.45448i | 0.635329 | − | 0.0913465i | ||||
\(723\) | 23.1372 | + | 10.5664i | 0.860481 | + | 0.392968i | ||||
\(724\) | −0.111187 | + | 0.0326473i | −0.00413222 | + | 0.00121333i | ||||
\(725\) | −24.9116 | − | 13.6601i | −0.925193 | − | 0.507322i | ||||
\(726\) | −12.8894 | + | 28.2238i | −0.478370 | + | 1.04748i | ||||
\(727\) | −3.30099 | + | 0.474610i | −0.122427 | + | 0.0176023i | −0.203256 | − | 0.979126i | \(-0.565152\pi\) |
0.0808290 | + | 0.996728i | \(0.474243\pi\) | |||||||
\(728\) | 29.6841 | − | 25.7214i | 1.10017 | − | 0.953300i | ||||
\(729\) | 16.2253 | + | 35.5284i | 0.600936 | + | 1.31587i | ||||
\(730\) | −0.168924 | − | 0.941048i | −0.00625215 | − | 0.0348298i | ||||
\(731\) | −1.16389 | + | 8.09503i | −0.0430480 | + | 0.299405i | ||||
\(732\) | 0.172786 | − | 0.268860i | 0.00638635 | − | 0.00993735i | ||||
\(733\) | −28.7160 | − | 24.8826i | −1.06065 | − | 0.919060i | −0.0637693 | − | 0.997965i | \(-0.520312\pi\) |
−0.996882 | + | 0.0789050i | \(0.974858\pi\) | |||||||
\(734\) | 0.282905 | + | 0.0830684i | 0.0104422 | + | 0.00306611i | ||||
\(735\) | −9.11696 | − | 3.78583i | −0.336284 | − | 0.139642i | ||||
\(736\) | 0.982716 | + | 0.198155i | 0.0362234 | + | 0.00730411i | ||||
\(737\) | 16.7067i | 0.615400i | ||||||||
\(738\) | −9.98023 | + | 33.9896i | −0.367377 | + | 1.25117i | ||||
\(739\) | 10.3211 | − | 11.9112i | 0.379668 | − | 0.438161i | −0.533465 | − | 0.845822i | \(-0.679110\pi\) |
0.913133 | + | 0.407662i | \(0.133656\pi\) | |||||||
\(740\) | −0.0107550 | − | 0.0155195i | −0.000395363 | − | 0.000570508i | ||||
\(741\) | −9.69927 | + | 67.4599i | −0.356312 | + | 2.47820i | ||||
\(742\) | 19.1969 | + | 29.8709i | 0.704739 | + | 1.09660i | ||||
\(743\) | −23.4293 | + | 10.6998i | −0.859538 | + | 0.392538i | −0.795895 | − | 0.605435i | \(-0.792999\pi\) |
−0.0636434 | + | 0.997973i | \(0.520272\pi\) | |||||||
\(744\) | 29.9770 | + | 34.5953i | 1.09901 | + | 1.26832i | ||||
\(745\) | −21.4220 | − | 5.48783i | −0.784840 | − | 0.201059i | ||||
\(746\) | 6.62828 | − | 14.5139i | 0.242679 | − | 0.531392i | ||||
\(747\) | −7.27570 | − | 24.7787i | −0.266204 | − | 0.906607i | ||||
\(748\) | 0.0218019 | + | 0.0742504i | 0.000797155 | + | 0.00271486i | ||||
\(749\) | −9.49567 | + | 20.7926i | −0.346964 | + | 0.759746i | ||||
\(750\) | −20.7625 | − | 35.2061i | −0.758140 | − | 1.28554i | ||||
\(751\) | −26.6918 | − | 30.8040i | −0.973998 | − | 1.12405i | −0.992255 | − | 0.124220i | \(-0.960357\pi\) |
0.0182565 | − | 0.999833i | \(-0.494188\pi\) | |||||||
\(752\) | −33.0811 | + | 15.1076i | −1.20634 | + | 0.550919i | ||||
\(753\) | 24.2632 | + | 37.7543i | 0.884200 | + | 1.37584i | ||||
\(754\) | 5.28897 | − | 36.7856i | 0.192613 | − | 1.33965i | ||||
\(755\) | 33.2994 | − | 23.0766i | 1.21189 | − | 0.839842i | ||||
\(756\) | 0.150429 | − | 0.173605i | 0.00547107 | − | 0.00631395i | ||||
\(757\) | −9.34741 | + | 31.8344i | −0.339737 | + | 1.15704i | 0.595600 | + | 0.803281i | \(0.296915\pi\) |
−0.935337 | + | 0.353758i | \(0.884904\pi\) | |||||||
\(758\) | − | 12.2072i | − | 0.443386i | ||||||
\(759\) | 14.2375 | + | 13.8104i | 0.516788 | + | 0.501285i | ||||
\(760\) | 32.9782 | + | 13.6942i | 1.19624 | + | 0.496742i | ||||
\(761\) | −27.2664 | − | 8.00614i | −0.988407 | − | 0.290222i | −0.252716 | − | 0.967540i | \(-0.581324\pi\) |
−0.735690 | + | 0.677318i | \(0.763142\pi\) | |||||||
\(762\) | −17.4903 | − | 15.1555i | −0.633608 | − | 0.549025i | ||||
\(763\) | −9.33400 | + | 14.5240i | −0.337914 | + | 0.525804i | ||||
\(764\) | −0.00727531 | + | 0.0506009i | −0.000263211 | + | 0.00183068i | ||||
\(765\) | 11.0711 | − | 1.98733i | 0.400278 | − | 0.0718522i | ||||
\(766\) | 4.72252 | + | 10.3409i | 0.170632 | + | 0.373631i | ||||
\(767\) | −41.1572 | + | 35.6629i | −1.48610 | + | 1.28771i | ||||
\(768\) | 2.28996 | − | 0.329247i | 0.0826319 | − | 0.0118807i | ||||
\(769\) | −4.94521 | + | 10.8285i | −0.178329 | + | 0.390486i | −0.977596 | − | 0.210490i | \(-0.932494\pi\) |
0.799267 | + | 0.600976i | \(0.205221\pi\) | |||||||
\(770\) | 1.57794 | − | 14.5557i | 0.0568650 | − | 0.524552i | ||||
\(771\) | −22.2583 | + | 6.53562i | −0.801612 | + | 0.235375i | ||||
\(772\) | −0.0883852 | − | 0.0403642i | −0.00318105 | − | 0.00145274i | ||||
\(773\) | −23.9836 | + | 3.44832i | −0.862629 | + | 0.124027i | −0.559408 | − | 0.828893i | \(-0.688971\pi\) |
−0.303222 | + | 0.952920i | \(0.598062\pi\) | |||||||
\(774\) | 21.6310 | + | 24.9635i | 0.777511 | + | 0.897295i | ||||
\(775\) | −10.7922 | + | 28.7793i | −0.387668 | + | 1.03378i | ||||
\(776\) | 13.6244 | − | 8.75587i | 0.489087 | − | 0.314317i | ||||
\(777\) | −1.73975 | − | 0.250139i | −0.0624133 | − | 0.00897367i | ||||
\(778\) | −23.2023 | + | 36.1035i | −0.831843 | + | 1.29437i | ||||
\(779\) | 24.3293 | − | 28.0775i | 0.871687 | − | 1.00598i | ||||
\(780\) | −0.632271 | + | 0.783180i | −0.0226389 | + | 0.0280424i | ||||
\(781\) | −11.8618 | −0.424449 | ||||||||
\(782\) | 8.86216 | + | 0.498336i | 0.316910 | + | 0.0178205i | ||||
\(783\) | − | 11.9796i | − | 0.428115i | ||||||
\(784\) | −6.37162 | − | 1.87088i | −0.227558 | − | 0.0668170i | ||||
\(785\) | 45.1974 | − | 22.5742i | 1.61316 | − | 0.805707i | ||||
\(786\) | −14.7759 | − | 9.49590i | −0.527039 | − | 0.338708i | ||||
\(787\) | 21.9769 | + | 3.15980i | 0.783391 | + | 0.112635i | 0.522393 | − | 0.852705i | \(-0.325039\pi\) |
0.260998 | + | 0.965339i | \(0.415948\pi\) | |||||||
\(788\) | −0.279331 | − | 0.434648i | −0.00995077 | − | 0.0154837i | ||||
\(789\) | 2.81150 | + | 6.15632i | 0.100092 | + | 0.219171i | ||||
\(790\) | −8.12808 | − | 24.4933i | −0.289184 | − | 0.871434i | ||||
\(791\) | −3.81348 | − | 26.5233i | −0.135592 | − | 0.943061i | ||||
\(792\) | 15.6701 | + | 7.15629i | 0.556812 | + | 0.254288i | ||||
\(793\) | 4.35880 | + | 14.8447i | 0.154785 | + | 0.527151i | ||||
\(794\) | 34.9784 | − | 10.2706i | 1.24134 | − | 0.364490i | ||||
\(795\) | −34.1422 | − | 36.7365i | −1.21090 | − | 1.30291i | ||||
\(796\) | 0.0713782 | + | 0.496446i | 0.00252993 | + | 0.0175961i | ||||
\(797\) | −6.59484 | + | 5.71446i | −0.233601 | + | 0.202417i | −0.763793 | − | 0.645461i | \(-0.776665\pi\) |
0.530192 | + | 0.847878i | \(0.322120\pi\) | |||||||
\(798\) | 54.8579 | − | 25.0528i | 1.94195 | − | 0.886859i | ||||
\(799\) | 10.2974 | − | 6.61776i | 0.364297 | − | 0.234119i | ||||
\(800\) | 0.624867 | + | 0.837813i | 0.0220924 | + | 0.0296211i | ||||
\(801\) | 25.2018 | + | 16.1962i | 0.890462 | + | 0.572265i | ||||
\(802\) | 34.3906 | + | 29.7996i | 1.21437 | + | 1.05226i | ||||
\(803\) | −0.136285 | + | 0.464143i | −0.00480938 | + | 0.0163792i | ||||
\(804\) | −1.01634 | −0.0358436 | ||||||||
\(805\) | 28.4720 | + | 13.7450i | 1.00351 | + | 0.484448i | ||||
\(806\) | −40.2056 | −1.41618 | ||||||||
\(807\) | 2.01565 | − | 6.86468i | 0.0709543 | − | 0.241648i | ||||
\(808\) | 11.3011 | + | 9.79248i | 0.397572 | + | 0.344498i | ||||
\(809\) | −42.8271 | − | 27.5233i | −1.50572 | − | 0.967669i | −0.994101 | − | 0.108457i | \(-0.965409\pi\) |
−0.511621 | − | 0.859211i | \(-0.670955\pi\) | |||||||
\(810\) | −9.48303 | + | 15.9506i | −0.333200 | + | 0.560447i | ||||
\(811\) | 0.148167 | − | 0.0952212i | 0.00520285 | − | 0.00334367i | −0.538037 | − | 0.842921i | \(-0.680834\pi\) |
0.543240 | + | 0.839578i | \(0.317198\pi\) | |||||||
\(812\) | 0.563172 | − | 0.257192i | 0.0197635 | − | 0.00902568i | ||||
\(813\) | 27.3315 | − | 23.6829i | 0.958559 | − | 0.830596i | ||||
\(814\) | −0.0722166 | − | 0.502277i | −0.00253119 | − | 0.0176048i | ||||
\(815\) | −10.5635 | + | 9.81749i | −0.370022 | + | 0.343892i | ||||
\(816\) | 12.9795 | − | 3.81111i | 0.454372 | − | 0.133416i | ||||
\(817\) | −9.75981 | − | 33.2389i | −0.341453 | − | 1.16288i | ||||
\(818\) | 26.8052 | + | 12.2415i | 0.937222 | + | 0.428015i | ||||
\(819\) | 7.45843 | + | 51.8745i | 0.260619 | + | 1.81264i | ||||
\(820\) | 0.520763 | − | 0.172815i | 0.0181858 | − | 0.00603494i | ||||
\(821\) | 12.4719 | + | 27.3097i | 0.435273 | + | 0.953115i | 0.992442 | + | 0.122716i | \(0.0391603\pi\) |
−0.557169 | + | 0.830399i | \(0.688112\pi\) | |||||||
\(822\) | 9.02941 | + | 14.0500i | 0.314937 | + | 0.490051i | ||||
\(823\) | −2.06963 | − | 0.297567i | −0.0721426 | − | 0.0103725i | 0.106149 | − | 0.994350i | \(-0.466148\pi\) |
−0.178292 | + | 0.983978i | \(0.557057\pi\) | |||||||
\(824\) | −44.7597 | − | 28.7653i | −1.55928 | − | 1.00209i | ||||
\(825\) | 1.43874 | + | 20.6294i | 0.0500904 | + | 0.718225i | ||||
\(826\) | 46.2375 | + | 13.5766i | 1.60881 | + | 0.472389i | ||||
\(827\) | − | 3.18639i | − | 0.110802i | −0.998464 | − | 0.0554008i | \(-0.982356\pi\) | ||
0.998464 | − | 0.0554008i | \(-0.0176436\pi\) | |||||||
\(828\) | −0.469928 | + | 0.484462i | −0.0163311 | + | 0.0168362i | ||||
\(829\) | 31.5021 | 1.09411 | 0.547057 | − | 0.837095i | \(-0.315748\pi\) | ||||
0.547057 | + | 0.837095i | \(0.315748\pi\) | |||||||
\(830\) | 13.3462 | − | 16.5317i | 0.463255 | − | 0.573823i | ||||
\(831\) | 5.00603 | − | 5.77727i | 0.173657 | − | 0.200411i | ||||
\(832\) | −20.5493 | + | 31.9753i | −0.712418 | + | 1.10854i | ||||
\(833\) | 2.21234 | + | 0.318087i | 0.0766531 | + | 0.0110211i | ||||
\(834\) | −46.7940 | + | 30.0727i | −1.62034 | + | 1.04133i | ||||
\(835\) | −0.760687 | − | 21.8408i | −0.0263247 | − | 0.755833i | ||||
\(836\) | −0.214659 | − | 0.247729i | −0.00742413 | − | 0.00856790i | ||||
\(837\) | −12.8281 | + | 1.84441i | −0.443405 | + | 0.0637520i | ||||
\(838\) | −16.3828 | − | 7.48176i | −0.565933 | − | 0.258453i | ||||
\(839\) | 11.4981 | − | 3.37616i | 0.396960 | − | 0.116558i | −0.0771588 | − | 0.997019i | \(-0.524585\pi\) |
0.474119 | + | 0.880461i | \(0.342767\pi\) | |||||||
\(840\) | 48.8050 | + | 5.29079i | 1.68393 | + | 0.182550i | ||||
\(841\) | 1.36562 | − | 2.99030i | 0.0470904 | − | 0.103114i | ||||
\(842\) | −35.1779 | + | 5.05782i | −1.21231 | + | 0.174304i | ||||
\(843\) | 48.2136 | − | 41.7773i | 1.66057 | − | 1.43889i | ||||
\(844\) | 0.0974330 | + | 0.213348i | 0.00335378 | + | 0.00734376i | ||||
\(845\) | −3.47314 | − | 19.3483i | −0.119480 | − | 0.665603i | ||||
\(846\) | 7.03588 | − | 48.9356i | 0.241899 | − | 1.68244i | ||||
\(847\) | 13.5283 | − | 21.0505i | 0.464838 | − | 0.723302i | ||||
\(848\) | −25.4967 | − | 22.0930i | −0.875559 | − | 0.758676i | ||||
\(849\) | 49.8454 | + | 14.6359i | 1.71069 | + | 0.502304i | ||||
\(850\) | 6.53199 | + | 6.55517i | 0.224046 | + | 0.224840i | ||||
\(851\) | 1.07416 | + | 0.216595i | 0.0368219 | + | 0.00742478i | ||||
\(852\) | − | 0.721604i | − | 0.0247218i | ||||||
\(853\) | 14.4664 | − | 49.2681i | 0.495321 | − | 1.68691i | −0.209736 | − | 0.977758i | \(-0.567261\pi\) |
0.705057 | − | 0.709150i | \(-0.250921\pi\) | |||||||
\(854\) | 8.96527 | − | 10.3465i | 0.306785 | − | 0.354049i | ||||
\(855\) | −39.1610 | + | 27.1386i | −1.33928 | + | 0.928122i | ||||
\(856\) | 3.14906 | − | 21.9022i | 0.107633 | − | 0.748601i | ||||
\(857\) | 0.418936 | + | 0.651877i | 0.0143106 | + | 0.0222677i | 0.848335 | − | 0.529460i | \(-0.177605\pi\) |
−0.834025 | + | 0.551727i | \(0.813969\pi\) | |||||||
\(858\) | −24.6060 | + | 11.2372i | −0.840036 | + | 0.383632i | ||||
\(859\) | 12.2578 | + | 14.1463i | 0.418231 | + | 0.482664i | 0.925297 | − | 0.379243i | \(-0.123816\pi\) |
−0.507066 | + | 0.861907i | \(0.669270\pi\) | |||||||
\(860\) | 0.126966 | − | 0.495618i | 0.00432952 | − | 0.0169004i | ||||
\(861\) | 21.2174 | − | 46.4597i | 0.723088 | − | 1.58334i | ||||
\(862\) | −7.64845 | − | 26.0482i | −0.260507 | − | 0.887207i | ||||
\(863\) | −10.0402 | − | 34.1937i | −0.341772 | − | 1.16397i | −0.933724 | − | 0.357994i | \(-0.883461\pi\) |
0.591952 | − | 0.805973i | \(-0.298357\pi\) | |||||||
\(864\) | −0.183073 | + | 0.400875i | −0.00622828 | + | 0.0136380i | ||||
\(865\) | 4.99216 | − | 19.4871i | 0.169739 | − | 0.662581i | ||||
\(866\) | 7.09718 | + | 8.19059i | 0.241172 | + | 0.278327i | ||||
\(867\) | 36.2066 | − | 16.5350i | 1.22964 | − | 0.561559i | ||||
\(868\) | −0.362118 | − | 0.563467i | −0.0122911 | − | 0.0191253i | ||||
\(869\) | −1.85821 | + | 12.9241i | −0.0630355 | + | 0.438421i | ||||
\(870\) | 38.1776 | − | 26.4571i | 1.29434 | − | 0.896980i | ||||
\(871\) | 32.2195 | − | 37.1833i | 1.09172 | − | 1.25991i | ||||
\(872\) | 4.70851 | − | 16.0357i | 0.159450 | − | 0.543037i | ||||
\(873\) | 21.6093i | 0.731365i | ||||||||
\(874\) | −35.0235 | + | 13.6741i | −1.18469 | + | 0.462534i | ||||
\(875\) | 12.5331 | + | 30.4864i | 0.423697 | + | 1.03063i | ||||
\(876\) | −0.0282358 | − | 0.00829078i | −0.000953999 | − | 0.000280119i | ||||
\(877\) | −30.5321 | − | 26.4562i | −1.03099 | − | 0.893362i | −0.0366249 | − | 0.999329i | \(-0.511661\pi\) |
−0.994370 | + | 0.105967i | \(0.966206\pi\) | |||||||
\(878\) | 18.6079 | − | 28.9544i | 0.627986 | − | 0.977165i | ||||
\(879\) | −4.16521 | + | 28.9697i | −0.140489 | + | 0.977122i | ||||
\(880\) | 2.45780 | + | 13.6920i | 0.0828524 | + | 0.461559i | ||||
\(881\) | 5.52226 | + | 12.0921i | 0.186050 | + | 0.407392i | 0.979556 | − | 0.201169i | \(-0.0644742\pi\) |
−0.793507 | + | 0.608561i | \(0.791747\pi\) | |||||||
\(882\) | 6.82244 | − | 5.91168i | 0.229723 | − | 0.199056i | ||||
\(883\) | 29.6115 | − | 4.25750i | 0.996508 | − | 0.143276i | 0.375284 | − | 0.926910i | \(-0.377545\pi\) |
0.621223 | + | 0.783633i | \(0.286636\pi\) | |||||||
\(884\) | 0.0946712 | − | 0.207301i | 0.00318414 | − | 0.00697229i | ||||
\(885\) | −67.6684 | − | 7.33572i | −2.27465 | − | 0.246587i | ||||
\(886\) | −37.0772 | + | 10.8868i | −1.24563 | + | 0.365750i | ||||
\(887\) | 30.5833 | + | 13.9669i | 1.02689 | + | 0.468964i | 0.856355 | − | 0.516388i | \(-0.172724\pi\) |
0.170533 | + | 0.985352i | \(0.445451\pi\) | |||||||
\(888\) | 1.68413 | − | 0.242141i | 0.0565156 | − | 0.00812571i | ||||
\(889\) | 12.2223 | + | 14.1053i | 0.409924 | + | 0.473077i | ||||
\(890\) | 0.857888 | + | 24.6317i | 0.0287565 | + | 0.825655i | ||||
\(891\) | 7.89837 | − | 5.07598i | 0.264605 | − | 0.170052i | ||||
\(892\) | −0.352568 | − | 0.0506916i | −0.0118049 | − | 0.00169728i | ||||
\(893\) | −28.0320 | + | 43.6186i | −0.938054 | + | 1.45964i | ||||
\(894\) | 23.6756 | − | 27.3231i | 0.791830 | − | 0.913820i | ||||
\(895\) | −19.0683 | + | 23.6195i | −0.637383 | + | 0.789512i | ||||
\(896\) | 32.4010 | 1.08244 | ||||||||
\(897\) | −5.05386 | − | 58.1945i | −0.168743 | − | 1.94306i | ||||
\(898\) | 43.0705i | 1.43728i | ||||||||
\(899\) | −33.5151 | − | 9.84091i | −1.11779 | − | 0.328213i | ||||
\(900\) | −0.701962 | + | 0.0489562i | −0.0233987 | + | 0.00163187i | ||||
\(901\) | 9.55256 | + | 6.13906i | 0.318242 | + | 0.204522i | ||||
\(902\) | 14.5957 | + | 2.09854i | 0.485983 | + | 0.0698737i | ||||
\(903\) | −25.7480 | − | 40.0647i | −0.856841 | − | 1.33327i | ||||
\(904\) | 10.7756 | + | 23.5952i | 0.358390 | + | 0.784766i | ||||
\(905\) | 6.65442 | − | 2.20826i | 0.221201 | − | 0.0734051i | ||||
\(906\) | 9.42637 | + | 65.5619i | 0.313170 | + | 2.17815i | ||||
\(907\) | −33.0858 | − | 15.1098i | −1.09860 | − | 0.501712i | −0.218177 | − | 0.975909i | \(-0.570011\pi\) |
−0.880419 | + | 0.474197i | \(0.842738\pi\) | |||||||
\(908\) | −0.195437 | − | 0.665596i | −0.00648579 | − | 0.0220886i | ||||
\(909\) | −19.1442 | + | 5.62123i | −0.634972 | + | 0.186445i | ||||
\(910\) | −31.5832 | + | 29.3528i | −1.04697 | + | 0.973036i | ||||
\(911\) | −4.37201 | − | 30.4080i | −0.144851 | − | 1.00746i | −0.924483 | − | 0.381223i | \(-0.875503\pi\) |
0.779632 | − | 0.626238i | \(-0.215406\pi\) | |||||||
\(912\) | −43.3048 | + | 37.5238i | −1.43396 | + | 1.24254i | ||||
\(913\) | −9.77838 | + | 4.46564i | −0.323617 | + | 0.147791i | ||||
\(914\) | 10.6388 | − | 6.83711i | 0.351899 | − | 0.226152i | ||||
\(915\) | −9.88171 | + | 16.6212i | −0.326679 | + | 0.549480i | ||||
\(916\) | −0.516390 | − | 0.331863i | −0.0170620 | − | 0.0109651i | ||||
\(917\) | 10.7051 | + | 9.27601i | 0.353513 | + | 0.306321i | ||||
\(918\) | −1.09932 | + | 3.74393i | −0.0362828 | + | 0.123568i | ||||
\(919\) | −19.6529 | −0.648290 | −0.324145 | − | 0.946007i | \(-0.605077\pi\) | ||||
−0.324145 | + | 0.946007i | \(0.605077\pi\) | |||||||
\(920\) | −30.1938 | − | 5.00156i | −0.995460 | − | 0.164896i | ||||
\(921\) | 19.8363 | 0.653629 | ||||||||
\(922\) | 11.9167 | − | 40.5845i | 0.392455 | − | 1.33658i | ||||
\(923\) | 26.4002 | + | 22.8759i | 0.868974 | + | 0.752970i | ||||
\(924\) | −0.379103 | − | 0.243635i | −0.0124716 | − | 0.00801499i | ||||
\(925\) | 0.683014 | + | 0.915776i | 0.0224574 | + | 0.0301105i | ||||
\(926\) | 34.2878 | − | 22.0354i | 1.12677 | − | 0.724129i | ||||
\(927\) | 64.5769 | − | 29.4913i | 2.12098 | − | 0.968621i | ||||
\(928\) | −0.897662 | + | 0.777828i | −0.0294672 | + | 0.0255335i | ||||
\(929\) | 1.48994 | + | 10.3628i | 0.0488834 | + | 0.339991i | 0.999556 | + | 0.0297953i | \(0.00948555\pi\) |
−0.950673 | + | 0.310196i | \(0.899605\pi\) | |||||||
\(930\) | −34.2091 | − | 36.8085i | −1.12176 | − | 1.20700i | ||||
\(931\) | −9.08406 | + | 2.66732i | −0.297718 | + | 0.0874179i | ||||
\(932\) | −0.140645 | − | 0.478994i | −0.00460699 | − | 0.0156900i | ||||
\(933\) | 40.9582 | + | 18.7050i | 1.34091 | + | 0.612374i | ||||
\(934\) | 4.25813 | + | 29.6159i | 0.139330 | + | 0.969063i | ||||
\(935\) | −1.47468 | − | 4.44382i | −0.0482271 | − | 0.145329i | ||||
\(936\) | −21.0749 | − | 46.1477i | −0.688856 | − | 1.50838i | ||||
\(937\) | −29.6657 | − | 46.1608i | −0.969137 | − | 1.50801i | −0.857646 | − | 0.514241i | \(-0.828074\pi\) |
−0.111491 | − | 0.993765i | \(-0.535563\pi\) | |||||||
\(938\) | −43.0935 | − | 6.19591i | −1.40705 | − | 0.202304i | ||||
\(939\) | −5.95316 | − | 3.82586i | −0.194274 | − | 0.124852i | ||||
\(940\) | −0.685061 | + | 0.342159i | −0.0223442 | + | 0.0111600i | ||||
\(941\) | −25.1608 | − | 7.38787i | −0.820218 | − | 0.240838i | −0.155408 | − | 0.987850i | \(-0.549669\pi\) |
−0.664810 | + | 0.747013i | \(0.731487\pi\) | |||||||
\(942\) | 82.5969i | 2.69115i | ||||||||
\(943\) | −14.8331 | + | 28.1765i | −0.483032 | + | 0.917552i | ||||
\(944\) | −45.7864 | −1.49022 | ||||||||
\(945\) | −8.73048 | + | 10.8143i | −0.284003 | + | 0.351788i | ||||
\(946\) | 9.00410 | − | 10.3913i | 0.292749 | − | 0.337850i | ||||
\(947\) | −4.95903 | + | 7.71640i | −0.161147 | + | 0.250749i | −0.912432 | − | 0.409228i | \(-0.865798\pi\) |
0.751285 | + | 0.659978i | \(0.229434\pi\) | |||||||
\(948\) | −0.786231 | − | 0.113043i | −0.0255356 | − | 0.00367146i | ||||
\(949\) | 1.19844 | − | 0.770189i | 0.0389029 | − | 0.0250014i | ||||
\(950\) | −36.7031 | − | 13.7636i | −1.19081 | − | 0.446551i | ||||
\(951\) | −5.00916 | − | 5.78088i | −0.162433 | − | 0.187458i | ||||
\(952\) | −11.0017 | + | 1.58180i | −0.356567 | + | 0.0512666i | ||||
\(953\) | 37.8730 | + | 17.2960i | 1.22683 | + | 0.560273i | 0.920159 | − | 0.391544i | \(-0.128059\pi\) |
0.306667 | + | 0.951817i | \(0.400786\pi\) | |||||||
\(954\) | 44.0049 | − | 12.9210i | 1.42471 | − | 0.418333i | ||||
\(955\) | 0.333354 | − | 3.07503i | 0.0107871 | − | 0.0995057i | ||||
\(956\) | 0.0600453 | − | 0.131481i | 0.00194201 | − | 0.00425240i | ||||
\(957\) | −23.2618 | + | 3.34455i | −0.751949 | + | 0.108114i | ||||
\(958\) | 27.5564 | − | 23.8777i | 0.890305 | − | 0.771454i | ||||
\(959\) | −5.59523 | − | 12.2518i | −0.180679 | − | 0.395632i | ||||
\(960\) | −46.7580 | + | 8.39334i | −1.50911 | + | 0.270894i | ||||
\(961\) | −0.966159 | + | 6.71978i | −0.0311664 | + | 0.216767i | ||||
\(962\) | −0.807931 | + | 1.25717i | −0.0260488 | + | 0.0405327i | ||||
\(963\) | 22.3131 | + | 19.3344i | 0.719028 | + | 0.623042i | ||||
\(964\) | 0.345681 | + | 0.101501i | 0.0111336 | + | 0.00326913i | ||||
\(965\) | 5.42944 | + | 2.25458i | 0.174780 | + | 0.0725776i | ||||
\(966\) | −40.9028 | + | 31.6026i | −1.31602 | + | 1.01680i | ||||
\(967\) | 13.6682i | 0.439540i | 0.975552 | + | 0.219770i | \(0.0705308\pi\) | ||||
−0.975552 | + | 0.219770i | \(0.929469\pi\) | |||||||
\(968\) | −6.82431 | + | 23.2415i | −0.219342 | + | 0.747009i | ||||
\(969\) | 12.6297 | − | 14.5755i | 0.405725 | − | 0.468232i | ||||
\(970\) | −14.6125 | + | 10.1265i | −0.469180 | + | 0.325143i | ||||
\(971\) | 3.95275 | − | 27.4920i | 0.126850 | − | 0.882259i | −0.822663 | − | 0.568530i | \(-0.807512\pi\) |
0.949512 | − | 0.313729i | \(-0.101578\pi\) | |||||||
\(972\) | 0.435166 | + | 0.677132i | 0.0139580 | + | 0.0217190i | ||||
\(973\) | 40.8050 | − | 18.6350i | 1.30815 | − | 0.597412i | ||||
\(974\) | −14.8334 | − | 17.1186i | −0.475292 | − | 0.548516i | ||||
\(975\) | 36.5825 | − | 48.6886i | 1.17158 | − | 1.55928i | ||||
\(976\) | −5.40357 | + | 11.8322i | −0.172964 | + | 0.378738i | ||||
\(977\) | −1.34028 | − | 4.56457i | −0.0428793 | − | 0.146034i | 0.935271 | − | 0.353932i | \(-0.115156\pi\) |
−0.978150 | + | 0.207899i | \(0.933338\pi\) | |||||||
\(978\) | −6.64243 | − | 22.6220i | −0.212402 | − | 0.723373i | ||||
\(979\) | 5.18025 | − | 11.3432i | 0.165561 | − | 0.362529i | ||||
\(980\) | −0.135451 | − | 0.0346995i | −0.00432681 | − | 0.00110843i | ||||
\(981\) | 14.6031 | + | 16.8529i | 0.466242 | + | 0.538072i | ||||
\(982\) | −21.6441 | + | 9.88451i | −0.690690 | + | 0.315428i | ||||
\(983\) | 19.9889 | + | 31.1033i | 0.637545 | + | 0.992040i | 0.998237 | + | 0.0593548i | \(0.0189043\pi\) |
−0.360692 | + | 0.932685i | \(0.617459\pi\) | |||||||
\(984\) | −7.03636 | + | 48.9390i | −0.224311 | + | 1.56012i | ||||
\(985\) | 17.8059 | + | 25.6938i | 0.567342 | + | 0.818674i | ||||
\(986\) | −6.88694 | + | 7.94795i | −0.219325 | + | 0.253114i | ||||
\(987\) | −20.0823 | + | 68.3939i | −0.639225 | + | 2.17700i | ||||
\(988\) | 0.965336i | 0.0307114i | ||||||||
\(989\) | 14.6247 | + | 25.8397i | 0.465037 | + | 0.821656i | ||||
\(990\) | −17.4648 | − | 7.25229i | −0.555069 | − | 0.230493i | ||||
\(991\) | 32.7309 | + | 9.61067i | 1.03973 | + | 0.305293i | 0.756662 | − | 0.653806i | \(-0.226829\pi\) |
0.283070 | + | 0.959099i | \(0.408647\pi\) | |||||||
\(992\) | 0.971132 | + | 0.841491i | 0.0308335 | + | 0.0267174i | ||||
\(993\) | 11.8943 | − | 18.5080i | 0.377456 | − | 0.587332i | ||||
\(994\) | 4.39911 | − | 30.5965i | 0.139531 | − | 0.970461i | ||||
\(995\) | −5.36158 | − | 29.8686i | −0.169973 | − | 0.946897i | ||||
\(996\) | −0.271664 | − | 0.594860i | −0.00860799 | − | 0.0188489i | ||||
\(997\) | −23.7667 | + | 20.5939i | −0.752698 | + | 0.652217i | −0.944236 | − | 0.329268i | \(-0.893198\pi\) |
0.191538 | + | 0.981485i | \(0.438652\pi\) | |||||||
\(998\) | −28.5483 | + | 4.10463i | −0.903681 | + | 0.129930i | ||||
\(999\) | −0.200109 | + | 0.438179i | −0.00633118 | + | 0.0138634i |
(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 | 115.2.j.a.64.8 | yes | 100 | |
5.2 | odd | 4 | 575.2.k.g.501.8 | 100 | |||
5.3 | odd | 4 | 575.2.k.g.501.3 | 100 | |||
5.4 | even | 2 | inner | 115.2.j.a.64.3 | yes | 100 | |
23.9 | even | 11 | inner | 115.2.j.a.9.3 | ✓ | 100 | |
115.9 | even | 22 | inner | 115.2.j.a.9.8 | yes | 100 | |
115.32 | odd | 44 | 575.2.k.g.101.8 | 100 | |||
115.78 | odd | 44 | 575.2.k.g.101.3 | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.j.a.9.3 | ✓ | 100 | 23.9 | even | 11 | inner | |
115.2.j.a.9.8 | yes | 100 | 115.9 | even | 22 | inner | |
115.2.j.a.64.3 | yes | 100 | 5.4 | even | 2 | inner | |
115.2.j.a.64.8 | yes | 100 | 1.1 | even | 1 | trivial | |
575.2.k.g.101.3 | 100 | 115.78 | odd | 44 | |||
575.2.k.g.101.8 | 100 | 115.32 | odd | 44 | |||
575.2.k.g.501.3 | 100 | 5.3 | odd | 4 | |||
575.2.k.g.501.8 | 100 | 5.2 | odd | 4 |