Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(19,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 15]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.i (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: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 109.7 | ||
Character | \(\chi\) | \(=\) | 230.109 |
Dual form | 230.3.i.a.19.7 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28641 | − | 0.587486i | −0.643207 | − | 0.293743i | ||||
\(3\) | 0.271363 | − | 0.924178i | 0.0904544 | − | 0.308059i | −0.901822 | − | 0.432108i | \(-0.857770\pi\) |
0.992276 | + | 0.124049i | \(0.0395880\pi\) | |||||||
\(4\) | 1.30972 | + | 1.51150i | 0.327430 | + | 0.377875i | ||||
\(5\) | −2.58664 | − | 4.27894i | −0.517328 | − | 0.855788i | ||||
\(6\) | −0.892026 | + | 1.02945i | −0.148671 | + | 0.171576i | ||||
\(7\) | −1.64158 | + | 11.4174i | −0.234511 | + | 1.63106i | 0.443687 | + | 0.896182i | \(0.353670\pi\) |
−0.678198 | + | 0.734879i | \(0.737239\pi\) | |||||||
\(8\) | −0.796860 | − | 2.71386i | −0.0996075 | − | 0.339232i | ||||
\(9\) | 6.79082 | + | 4.36419i | 0.754535 | + | 0.484910i | ||||
\(10\) | 0.813673 | + | 7.02410i | 0.0813673 | + | 0.702410i | ||||
\(11\) | 12.0406 | − | 5.49877i | 1.09460 | − | 0.499888i | 0.215492 | − | 0.976506i | \(-0.430864\pi\) |
0.879111 | + | 0.476617i | \(0.158137\pi\) | |||||||
\(12\) | 1.75230 | − | 0.800250i | 0.146025 | − | 0.0666875i | ||||
\(13\) | 2.01624 | − | 0.289891i | 0.155095 | − | 0.0222993i | −0.0643297 | − | 0.997929i | \(-0.520491\pi\) |
0.219425 | + | 0.975629i | \(0.429582\pi\) | |||||||
\(14\) | 8.81932 | − | 13.7231i | 0.629952 | − | 0.980224i | ||||
\(15\) | −4.65642 | + | 1.22937i | −0.310428 | + | 0.0819578i | ||||
\(16\) | −0.569259 | + | 3.95929i | −0.0355787 | + | 0.247455i | ||||
\(17\) | −1.75412 | + | 2.02436i | −0.103184 | + | 0.119080i | −0.804992 | − | 0.593285i | \(-0.797831\pi\) |
0.701809 | + | 0.712365i | \(0.252376\pi\) | |||||||
\(18\) | −6.17190 | − | 9.60366i | −0.342883 | − | 0.533537i | ||||
\(19\) | 15.6925 | − | 13.5976i | 0.825920 | − | 0.715663i | −0.135492 | − | 0.990778i | \(-0.543261\pi\) |
0.961411 | + | 0.275115i | \(0.0887160\pi\) | |||||||
\(20\) | 3.07984 | − | 9.51392i | 0.153992 | − | 0.475696i | ||||
\(21\) | 10.1063 | + | 4.61538i | 0.481251 | + | 0.219780i | ||||
\(22\) | −18.7197 | −0.850895 | ||||||||
\(23\) | 14.0502 | − | 18.2097i | 0.610879 | − | 0.791724i | ||||
\(24\) | −2.72432 | −0.113513 | ||||||||
\(25\) | −11.6186 | + | 22.1361i | −0.464744 | + | 0.885445i | ||||
\(26\) | −2.76403 | − | 0.811591i | −0.106309 | − | 0.0312150i | ||||
\(27\) | 12.4275 | − | 10.7685i | 0.460276 | − | 0.398832i | ||||
\(28\) | −19.4074 | + | 12.4724i | −0.693123 | + | 0.445443i | ||||
\(29\) | −1.93917 | + | 2.23792i | −0.0668679 | + | 0.0771697i | −0.788198 | − | 0.615422i | \(-0.788986\pi\) |
0.721330 | + | 0.692592i | \(0.243531\pi\) | |||||||
\(30\) | 6.71231 | + | 1.15410i | 0.223744 | + | 0.0384701i | ||||
\(31\) | 11.8816 | − | 3.48876i | 0.383279 | − | 0.112541i | −0.0844166 | − | 0.996431i | \(-0.526903\pi\) |
0.467695 | + | 0.883890i | \(0.345084\pi\) | |||||||
\(32\) | 3.05833 | − | 4.75885i | 0.0955727 | − | 0.148714i | ||||
\(33\) | −1.81446 | − | 12.6198i | −0.0549836 | − | 0.382420i | ||||
\(34\) | 3.44581 | − | 1.57365i | 0.101347 | − | 0.0462838i | ||||
\(35\) | 53.1006 | − | 22.5085i | 1.51716 | − | 0.643101i | ||||
\(36\) | 2.29760 | + | 15.9802i | 0.0638223 | + | 0.443894i | ||||
\(37\) | 51.5349 | + | 33.1195i | 1.39284 | + | 0.895121i | 0.999703 | − | 0.0243610i | \(-0.00775511\pi\) |
0.393132 | + | 0.919482i | \(0.371391\pi\) | |||||||
\(38\) | −28.1754 | + | 8.27305i | −0.741458 | + | 0.217712i | ||||
\(39\) | 0.279222 | − | 1.94203i | 0.00715953 | − | 0.0497956i | ||||
\(40\) | −9.55123 | + | 10.4295i | −0.238781 | + | 0.260737i | ||||
\(41\) | 49.8663 | − | 32.0471i | 1.21625 | − | 0.781637i | 0.234557 | − | 0.972102i | \(-0.424636\pi\) |
0.981694 | + | 0.190466i | \(0.0609997\pi\) | |||||||
\(42\) | −10.2894 | − | 11.8746i | −0.244985 | − | 0.282728i | ||||
\(43\) | −13.5483 | − | 3.97814i | −0.315077 | − | 0.0925150i | 0.120371 | − | 0.992729i | \(-0.461592\pi\) |
−0.435448 | + | 0.900214i | \(0.643410\pi\) | |||||||
\(44\) | 24.0813 | + | 10.9975i | 0.547302 | + | 0.249944i | ||||
\(45\) | 1.10873 | − | 40.3461i | 0.0246384 | − | 0.896579i | ||||
\(46\) | −28.7723 | + | 15.1709i | −0.625485 | + | 0.329801i | ||||
\(47\) | − | 0.939964i | − | 0.0199992i | −0.999950 | − | 0.00999961i | \(-0.996817\pi\) | ||
0.999950 | − | 0.00999961i | \(-0.00318303\pi\) | |||||||
\(48\) | 3.50461 | + | 1.60050i | 0.0730127 | + | 0.0333438i | ||||
\(49\) | −80.6477 | − | 23.6803i | −1.64587 | − | 0.483271i | ||||
\(50\) | 27.9510 | − | 21.6504i | 0.559020 | − | 0.433009i | ||||
\(51\) | 1.39487 | + | 2.17046i | 0.0273504 | + | 0.0425580i | ||||
\(52\) | 3.07888 | + | 2.66787i | 0.0592093 | + | 0.0513051i | ||||
\(53\) | −3.93385 | + | 27.3605i | −0.0742236 | + | 0.516237i | 0.918462 | + | 0.395509i | \(0.129432\pi\) |
−0.992686 | + | 0.120727i | \(0.961477\pi\) | |||||||
\(54\) | −22.3132 | + | 6.55174i | −0.413207 | + | 0.121329i | ||||
\(55\) | −54.6737 | − | 37.2978i | −0.994067 | − | 0.678142i | ||||
\(56\) | 32.2934 | − | 4.64308i | 0.576667 | − | 0.0829122i | ||||
\(57\) | −8.30825 | − | 18.1925i | −0.145759 | − | 0.319167i | ||||
\(58\) | 3.80932 | − | 1.73966i | 0.0656779 | − | 0.0299941i | ||||
\(59\) | 7.29514 | + | 50.7388i | 0.123646 | + | 0.859979i | 0.953370 | + | 0.301805i | \(0.0975890\pi\) |
−0.829723 | + | 0.558175i | \(0.811502\pi\) | |||||||
\(60\) | −7.95680 | − | 5.42804i | −0.132613 | − | 0.0904674i | ||||
\(61\) | 17.4423 | + | 59.4029i | 0.285939 | + | 0.973818i | 0.969738 | + | 0.244148i | \(0.0785081\pi\) |
−0.683799 | + | 0.729670i | \(0.739674\pi\) | |||||||
\(62\) | −17.3343 | − | 2.49230i | −0.279585 | − | 0.0401983i | ||||
\(63\) | −60.9755 | + | 70.3695i | −0.967865 | + | 1.11698i | ||||
\(64\) | −6.73003 | + | 4.32513i | −0.105157 | + | 0.0675801i | ||||
\(65\) | −6.45571 | − | 7.87752i | −0.0993186 | − | 0.121193i | ||||
\(66\) | −5.07983 | + | 17.3003i | −0.0769671 | + | 0.262126i | ||||
\(67\) | 35.0404 | − | 76.7278i | 0.522991 | − | 1.14519i | −0.445303 | − | 0.895380i | \(-0.646904\pi\) |
0.968295 | − | 0.249811i | \(-0.0803686\pi\) | |||||||
\(68\) | −5.35724 | −0.0787829 | ||||||||
\(69\) | −13.0162 | − | 17.9263i | −0.188641 | − | 0.259802i | ||||
\(70\) | −81.5328 | − | 2.24056i | −1.16475 | − | 0.0320080i | ||||
\(71\) | −50.3124 | + | 110.169i | −0.708625 | + | 1.55167i | 0.120566 | + | 0.992705i | \(0.461529\pi\) |
−0.829190 | + | 0.558966i | \(0.811198\pi\) | |||||||
\(72\) | 6.43246 | − | 21.9069i | 0.0893397 | − | 0.304263i | ||||
\(73\) | −11.4700 | + | 9.93882i | −0.157123 | + | 0.136148i | −0.729875 | − | 0.683581i | \(-0.760422\pi\) |
0.572751 | + | 0.819729i | \(0.305876\pi\) | |||||||
\(74\) | −46.8380 | − | 72.8814i | −0.632946 | − | 0.984883i | ||||
\(75\) | 17.3048 | + | 16.7446i | 0.230731 | + | 0.223261i | ||||
\(76\) | 41.1055 | + | 5.91008i | 0.540862 | + | 0.0777643i | ||||
\(77\) | 43.0162 | + | 146.500i | 0.558652 | + | 1.90259i | ||||
\(78\) | −1.50011 | + | 2.33422i | −0.0192322 | + | 0.0299258i | ||||
\(79\) | −113.387 | + | 16.3026i | −1.43528 | + | 0.206362i | −0.815657 | − | 0.578536i | \(-0.803624\pi\) |
−0.619625 | + | 0.784898i | \(0.712715\pi\) | |||||||
\(80\) | 18.4140 | − | 7.80541i | 0.230175 | − | 0.0975677i | ||||
\(81\) | 23.6004 | + | 51.6777i | 0.291363 | + | 0.637996i | ||||
\(82\) | −82.9759 | + | 11.9301i | −1.01190 | + | 0.145489i | ||||
\(83\) | −41.8152 | − | 26.8730i | −0.503797 | − | 0.323771i | 0.263936 | − | 0.964540i | \(-0.414979\pi\) |
−0.767734 | + | 0.640769i | \(0.778616\pi\) | |||||||
\(84\) | 6.26026 | + | 21.3205i | 0.0745269 | + | 0.253815i | ||||
\(85\) | 13.1994 | + | 2.26948i | 0.155287 | + | 0.0266998i | ||||
\(86\) | 15.0916 | + | 13.0770i | 0.175484 | + | 0.152058i | ||||
\(87\) | 1.54202 | + | 2.39943i | 0.0177243 | + | 0.0275796i | ||||
\(88\) | −24.5176 | − | 28.2948i | −0.278609 | − | 0.321532i | ||||
\(89\) | 2.06946 | − | 7.04793i | 0.0232523 | − | 0.0791902i | −0.947049 | − | 0.321088i | \(-0.895952\pi\) |
0.970302 | + | 0.241897i | \(0.0777698\pi\) | |||||||
\(90\) | −25.1290 | + | 51.2504i | −0.279211 | + | 0.569449i | ||||
\(91\) | 23.4961i | 0.258199i | ||||||||
\(92\) | 45.9257 | − | 2.61269i | 0.499193 | − | 0.0283988i | ||||
\(93\) | − | 11.9275i | − | 0.128252i | ||||||
\(94\) | −0.552215 | + | 1.20918i | −0.00587463 | + | 0.0128636i | ||||
\(95\) | −98.7740 | − | 31.9750i | −1.03973 | − | 0.336579i | ||||
\(96\) | −3.56811 | − | 4.11781i | −0.0371678 | − | 0.0428939i | ||||
\(97\) | 1.69018 | − | 1.08622i | 0.0174246 | − | 0.0111981i | −0.531900 | − | 0.846807i | \(-0.678522\pi\) |
0.549324 | + | 0.835609i | \(0.314885\pi\) | |||||||
\(98\) | 89.8345 | + | 77.8420i | 0.916678 | + | 0.794306i | ||||
\(99\) | 105.763 | + | 15.2065i | 1.06832 | + | 0.153601i | ||||
\(100\) | −48.6759 | + | 11.4306i | −0.486759 | + | 0.114306i | ||||
\(101\) | 54.3485 | + | 34.9276i | 0.538104 | + | 0.345818i | 0.781297 | − | 0.624160i | \(-0.214559\pi\) |
−0.243193 | + | 0.969978i | \(0.578195\pi\) | |||||||
\(102\) | −0.519266 | − | 3.61157i | −0.00509084 | − | 0.0354076i | ||||
\(103\) | −48.4776 | − | 106.151i | −0.470656 | − | 1.03059i | −0.984928 | − | 0.172966i | \(-0.944665\pi\) |
0.514271 | − | 0.857628i | \(-0.328062\pi\) | |||||||
\(104\) | −2.39338 | − | 5.24078i | −0.0230133 | − | 0.0503921i | ||||
\(105\) | −6.39234 | − | 55.1824i | −0.0608794 | − | 0.525547i | ||||
\(106\) | 21.1345 | − | 32.8859i | 0.199382 | − | 0.310244i | ||||
\(107\) | −121.078 | + | 35.5516i | −1.13157 | + | 0.332258i | −0.793323 | − | 0.608801i | \(-0.791651\pi\) |
−0.338243 | + | 0.941059i | \(0.609833\pi\) | |||||||
\(108\) | 32.5530 | + | 4.68042i | 0.301417 | + | 0.0433372i | ||||
\(109\) | −110.525 | − | 95.7707i | −1.01399 | − | 0.878630i | −0.0213583 | − | 0.999772i | \(-0.506799\pi\) |
−0.992635 | + | 0.121141i | \(0.961345\pi\) | |||||||
\(110\) | 48.4210 | + | 80.1004i | 0.440191 | + | 0.728185i | ||||
\(111\) | 44.5930 | − | 38.6400i | 0.401738 | − | 0.348108i | ||||
\(112\) | −44.2704 | − | 12.9990i | −0.395271 | − | 0.116062i | ||||
\(113\) | 84.3000 | − | 184.591i | 0.746018 | − | 1.63355i | −0.0273756 | − | 0.999625i | \(-0.508715\pi\) |
0.773394 | − | 0.633926i | \(-0.218558\pi\) | |||||||
\(114\) | 28.2841i | 0.248106i | ||||||||
\(115\) | −114.261 | − | 13.0182i | −0.993572 | − | 0.113202i | ||||
\(116\) | −5.92239 | −0.0510551 | ||||||||
\(117\) | 14.9571 | + | 6.83066i | 0.127838 | + | 0.0583817i | ||||
\(118\) | 20.4237 | − | 69.5569i | 0.173083 | − | 0.589465i | ||||
\(119\) | −20.2335 | − | 23.3507i | −0.170029 | − | 0.196224i | ||||
\(120\) | 7.04684 | + | 11.6572i | 0.0587236 | + | 0.0971434i | ||||
\(121\) | 35.5022 | − | 40.9717i | 0.293407 | − | 0.338609i | ||||
\(122\) | 12.4604 | − | 86.6637i | 0.102134 | − | 0.710359i | ||||
\(123\) | −16.0854 | − | 54.7817i | −0.130775 | − | 0.445380i | ||||
\(124\) | 20.8349 | + | 13.3898i | 0.168023 | + | 0.107982i | ||||
\(125\) | 124.772 | − | 7.54281i | 0.998178 | − | 0.0603424i | ||||
\(126\) | 119.781 | − | 54.7020i | 0.950641 | − | 0.434143i | ||||
\(127\) | 43.8674 | − | 20.0336i | 0.345412 | − | 0.157745i | −0.235153 | − | 0.971958i | \(-0.575559\pi\) |
0.580565 | + | 0.814214i | \(0.302832\pi\) | |||||||
\(128\) | 11.1986 | − | 1.61011i | 0.0874887 | − | 0.0125790i | ||||
\(129\) | −7.35302 | + | 11.4415i | −0.0570002 | + | 0.0886940i | ||||
\(130\) | 3.67678 | + | 13.9264i | 0.0282830 | + | 0.107126i | ||||
\(131\) | 5.20743 | − | 36.2184i | 0.0397513 | − | 0.276477i | −0.960245 | − | 0.279158i | \(-0.909945\pi\) |
0.999996 | + | 0.00268175i | \(0.000853630\pi\) | |||||||
\(132\) | 16.6985 | − | 19.2710i | 0.126503 | − | 0.145993i | ||||
\(133\) | 129.489 | + | 201.489i | 0.973603 | + | 1.51496i | ||||
\(134\) | −90.1530 | + | 78.1180i | −0.672783 | + | 0.582970i | ||||
\(135\) | −78.2229 | − | 25.3222i | −0.579429 | − | 0.187572i | ||||
\(136\) | 6.89162 | + | 3.14730i | 0.0506737 | + | 0.0231419i | ||||
\(137\) | −6.17181 | −0.0450497 | −0.0225248 | − | 0.999746i | \(-0.507170\pi\) | ||||
−0.0225248 | + | 0.999746i | \(0.507170\pi\) | |||||||
\(138\) | 6.21283 | + | 30.7075i | 0.0450205 | + | 0.222518i | ||||
\(139\) | 179.413 | 1.29074 | 0.645372 | − | 0.763868i | \(-0.276702\pi\) | ||||
0.645372 | + | 0.763868i | \(0.276702\pi\) | |||||||
\(140\) | 103.569 | + | 50.7816i | 0.739776 | + | 0.362726i | ||||
\(141\) | −0.868693 | − | 0.255071i | −0.00616095 | − | 0.00180902i | ||||
\(142\) | 129.445 | − | 112.165i | 0.911585 | − | 0.789893i | ||||
\(143\) | 22.6828 | − | 14.5773i | 0.158621 | − | 0.101939i | ||||
\(144\) | −21.1448 | + | 24.4024i | −0.146839 | + | 0.169461i | ||||
\(145\) | 14.5919 | + | 2.50890i | 0.100633 | + | 0.0173027i | ||||
\(146\) | 20.5941 | − | 6.04697i | 0.141055 | − | 0.0414176i | ||||
\(147\) | −43.7696 | + | 68.1068i | −0.297752 | + | 0.463312i | ||||
\(148\) | 17.4363 | + | 121.272i | 0.117813 | + | 0.819407i | ||||
\(149\) | −65.6183 | + | 29.9669i | −0.440391 | + | 0.201120i | −0.623256 | − | 0.782018i | \(-0.714190\pi\) |
0.182864 | + | 0.983138i | \(0.441463\pi\) | |||||||
\(150\) | −12.4240 | − | 31.7068i | −0.0828266 | − | 0.211379i | ||||
\(151\) | 10.8164 | + | 75.2300i | 0.0716321 | + | 0.498212i | 0.993779 | + | 0.111372i | \(0.0355245\pi\) |
−0.922147 | + | 0.386840i | \(0.873566\pi\) | |||||||
\(152\) | −49.4066 | − | 31.7517i | −0.325044 | − | 0.208893i | ||||
\(153\) | −20.7466 | + | 6.09176i | −0.135599 | + | 0.0398154i | ||||
\(154\) | 30.7298 | − | 213.731i | 0.199544 | − | 1.38786i | ||||
\(155\) | −45.6617 | − | 41.8166i | −0.294592 | − | 0.269785i | ||||
\(156\) | 3.30108 | − | 2.12147i | 0.0211608 | − | 0.0135992i | ||||
\(157\) | 181.582 | + | 209.557i | 1.15657 | + | 1.33476i | 0.932918 | + | 0.360088i | \(0.117253\pi\) |
0.223654 | + | 0.974669i | \(0.428201\pi\) | |||||||
\(158\) | 155.441 | + | 45.6415i | 0.983801 | + | 0.288870i | ||||
\(159\) | 24.2185 | + | 11.0602i | 0.152318 | + | 0.0695611i | ||||
\(160\) | −28.2736 | − | 0.776971i | −0.176710 | − | 0.00485607i | ||||
\(161\) | 184.843 | + | 190.310i | 1.14809 | + | 1.18205i | ||||
\(162\) | − | 80.3438i | − | 0.495950i | ||||||
\(163\) | −153.009 | − | 69.8769i | −0.938705 | − | 0.428692i | −0.113508 | − | 0.993537i | \(-0.536209\pi\) |
−0.825197 | + | 0.564845i | \(0.808936\pi\) | |||||||
\(164\) | 113.750 | + | 33.4000i | 0.693598 | + | 0.203659i | ||||
\(165\) | −49.3062 | + | 40.4069i | −0.298825 | + | 0.244891i | ||||
\(166\) | 38.0041 | + | 59.1356i | 0.228941 | + | 0.356239i | ||||
\(167\) | −167.604 | − | 145.230i | −1.00362 | − | 0.869639i | −0.0121410 | − | 0.999926i | \(-0.503865\pi\) |
−0.991476 | + | 0.130287i | \(0.958410\pi\) | |||||||
\(168\) | 4.47219 | − | 31.1048i | 0.0266202 | − | 0.185147i | ||||
\(169\) | −158.173 | + | 46.4438i | −0.935936 | + | 0.274816i | ||||
\(170\) | −15.6466 | − | 10.6740i | −0.0920389 | − | 0.0627879i | ||||
\(171\) | 165.907 | − | 23.8539i | 0.970218 | − | 0.139496i | ||||
\(172\) | −11.7316 | − | 25.6885i | −0.0682067 | − | 0.149352i | ||||
\(173\) | 25.6211 | − | 11.7008i | 0.148099 | − | 0.0676346i | −0.339987 | − | 0.940430i | \(-0.610423\pi\) |
0.488086 | + | 0.872796i | \(0.337695\pi\) | |||||||
\(174\) | −0.574045 | − | 3.99257i | −0.00329911 | − | 0.0229458i | ||||
\(175\) | −233.665 | − | 168.993i | −1.33523 | − | 0.965673i | ||||
\(176\) | 14.9170 | + | 50.8025i | 0.0847555 | + | 0.288651i | ||||
\(177\) | 48.8713 | + | 7.02663i | 0.276109 | + | 0.0396985i | ||||
\(178\) | −6.80274 | + | 7.85078i | −0.0382176 | + | 0.0441055i | ||||
\(179\) | 194.715 | − | 125.136i | 1.08779 | − | 0.699083i | 0.131449 | − | 0.991323i | \(-0.458037\pi\) |
0.956345 | + | 0.292240i | \(0.0944008\pi\) | |||||||
\(180\) | 62.4352 | − | 51.1663i | 0.346862 | − | 0.284257i | ||||
\(181\) | 25.4144 | − | 86.5535i | 0.140411 | − | 0.478196i | −0.859019 | − | 0.511943i | \(-0.828926\pi\) |
0.999430 | + | 0.0337468i | \(0.0107440\pi\) | |||||||
\(182\) | 13.8036 | − | 30.2258i | 0.0758442 | − | 0.166076i | ||||
\(183\) | 59.6320 | 0.325858 | ||||||||
\(184\) | −60.6144 | − | 23.6197i | −0.329426 | − | 0.128368i | ||||
\(185\) | 8.41403 | − | 306.183i | 0.0454813 | − | 1.65504i | ||||
\(186\) | −7.00721 | + | 15.3437i | −0.0376732 | + | 0.0824928i | ||||
\(187\) | −9.98922 | + | 34.0201i | −0.0534183 | + | 0.181926i | ||||
\(188\) | 1.42075 | − | 1.23109i | 0.00755720 | − | 0.00654835i | ||||
\(189\) | 102.547 | + | 159.567i | 0.542579 | + | 0.844270i | ||||
\(190\) | 108.279 | + | 99.1615i | 0.569892 | + | 0.521902i | ||||
\(191\) | 56.7335 | + | 8.15704i | 0.297034 | + | 0.0427070i | 0.289221 | − | 0.957262i | \(-0.406604\pi\) |
0.00781319 | + | 0.999969i | \(0.497513\pi\) | |||||||
\(192\) | 2.17090 | + | 7.39342i | 0.0113068 | + | 0.0385074i | ||||
\(193\) | −201.227 | + | 313.115i | −1.04263 | + | 1.62236i | −0.298383 | + | 0.954446i | \(0.596447\pi\) |
−0.744242 | + | 0.667910i | \(0.767189\pi\) | |||||||
\(194\) | −2.81241 | + | 0.404364i | −0.0144970 | + | 0.00208435i | ||||
\(195\) | −9.03207 | + | 3.82855i | −0.0463183 | + | 0.0196336i | ||||
\(196\) | −69.8333 | − | 152.914i | −0.356292 | − | 0.780171i | ||||
\(197\) | −232.952 | + | 33.4934i | −1.18250 | + | 0.170017i | −0.705384 | − | 0.708825i | \(-0.749226\pi\) |
−0.477112 | + | 0.878842i | \(0.658316\pi\) | |||||||
\(198\) | −127.122 | − | 81.6963i | −0.642030 | − | 0.412608i | ||||
\(199\) | −95.0318 | − | 323.648i | −0.477547 | − | 1.62637i | −0.748041 | − | 0.663653i | \(-0.769005\pi\) |
0.270494 | − | 0.962722i | \(-0.412813\pi\) | |||||||
\(200\) | 69.3327 | + | 13.8919i | 0.346663 | + | 0.0694593i | ||||
\(201\) | −61.4015 | − | 53.2047i | −0.305480 | − | 0.264700i | ||||
\(202\) | −49.3951 | − | 76.8603i | −0.244530 | − | 0.380497i | ||||
\(203\) | −22.3680 | − | 25.8140i | −0.110187 | − | 0.127163i | ||||
\(204\) | −1.45376 | + | 4.95104i | −0.00712625 | + | 0.0242698i | ||||
\(205\) | −266.114 | − | 130.480i | −1.29811 | − | 0.636490i | ||||
\(206\) | 165.034i | 0.801137i | ||||||||
\(207\) | 174.883 | − | 62.3406i | 0.844845 | − | 0.301162i | ||||
\(208\) | 8.14789i | 0.0391726i | ||||||||
\(209\) | 114.177 | − | 250.013i | 0.546302 | − | 1.19623i | ||||
\(210\) | −24.1957 | + | 74.7428i | −0.115217 | + | 0.355918i | ||||
\(211\) | −76.9459 | − | 88.8003i | −0.364673 | − | 0.420855i | 0.543527 | − | 0.839392i | \(-0.317089\pi\) |
−0.908200 | + | 0.418537i | \(0.862543\pi\) | |||||||
\(212\) | −46.5077 | + | 29.8887i | −0.219376 | + | 0.140984i | ||||
\(213\) | 88.1625 | + | 76.3933i | 0.413909 | + | 0.358654i | ||||
\(214\) | 176.642 | + | 25.3973i | 0.825429 | + | 0.118679i | ||||
\(215\) | 18.0223 | + | 68.2624i | 0.0838249 | + | 0.317500i | ||||
\(216\) | −39.1270 | − | 25.1454i | −0.181144 | − | 0.116414i | ||||
\(217\) | 20.3281 | + | 141.385i | 0.0936777 | + | 0.651543i | ||||
\(218\) | 85.9174 | + | 188.133i | 0.394116 | + | 0.862994i | ||||
\(219\) | 6.07270 | + | 13.2974i | 0.0277292 | + | 0.0607185i | ||||
\(220\) | −15.2317 | − | 131.489i | −0.0692350 | − | 0.597677i | ||||
\(221\) | −2.94988 | + | 4.59011i | −0.0133479 | + | 0.0207697i | ||||
\(222\) | −80.0654 | + | 23.5093i | −0.360655 | + | 0.105898i | ||||
\(223\) | 195.585 | + | 28.1209i | 0.877064 | + | 0.126103i | 0.566118 | − | 0.824324i | \(-0.308445\pi\) |
0.310947 | + | 0.950427i | \(0.399354\pi\) | |||||||
\(224\) | 49.3133 | + | 42.7302i | 0.220149 | + | 0.190760i | ||||
\(225\) | −175.506 | + | 99.6165i | −0.780027 | + | 0.442740i | ||||
\(226\) | −216.889 | + | 187.936i | −0.959688 | + | 0.831574i | ||||
\(227\) | −70.7509 | − | 20.7743i | −0.311678 | − | 0.0915169i | 0.122153 | − | 0.992511i | \(-0.461020\pi\) |
−0.433831 | + | 0.900994i | \(0.642838\pi\) | |||||||
\(228\) | 16.6165 | − | 36.3850i | 0.0728794 | − | 0.159584i | ||||
\(229\) | 236.743i | 1.03381i | 0.856042 | + | 0.516906i | \(0.172916\pi\) | ||||
−0.856042 | + | 0.516906i | \(0.827084\pi\) | |||||||
\(230\) | 139.339 | + | 83.8734i | 0.605820 | + | 0.364667i | ||||
\(231\) | 147.065 | 0.636644 | ||||||||
\(232\) | 7.61864 | + | 3.47932i | 0.0328390 | + | 0.0149971i | ||||
\(233\) | −78.9598 | + | 268.912i | −0.338883 | + | 1.15413i | 0.597124 | + | 0.802149i | \(0.296310\pi\) |
−0.936007 | + | 0.351981i | \(0.885508\pi\) | |||||||
\(234\) | −15.2280 | − | 17.5741i | −0.0650771 | − | 0.0751030i | ||||
\(235\) | −4.02205 | + | 2.43134i | −0.0171151 | + | 0.0103461i | ||||
\(236\) | −67.1370 | + | 77.4803i | −0.284479 | + | 0.328306i | ||||
\(237\) | −15.7026 | + | 109.214i | −0.0662557 | + | 0.460818i | ||||
\(238\) | 12.3105 | + | 41.9256i | 0.0517246 | + | 0.176158i | ||||
\(239\) | 139.705 | + | 89.7827i | 0.584538 | + | 0.375660i | 0.799233 | − | 0.601021i | \(-0.205239\pi\) |
−0.214695 | + | 0.976681i | \(0.568876\pi\) | |||||||
\(240\) | −2.21671 | − | 19.1359i | −0.00923628 | − | 0.0797330i | ||||
\(241\) | −111.289 | + | 50.8240i | −0.461781 | + | 0.210888i | −0.632700 | − | 0.774397i | \(-0.718053\pi\) |
0.170920 | + | 0.985285i | \(0.445326\pi\) | |||||||
\(242\) | −69.7408 | + | 31.8496i | −0.288185 | + | 0.131610i | ||||
\(243\) | 200.652 | − | 28.8494i | 0.825730 | − | 0.118722i | ||||
\(244\) | −66.9429 | + | 104.165i | −0.274356 | + | 0.426906i | ||||
\(245\) | 107.280 | + | 406.339i | 0.437877 | + | 1.65853i | ||||
\(246\) | −11.4910 | + | 79.9219i | −0.0467115 | + | 0.324886i | ||||
\(247\) | 27.6980 | − | 31.9651i | 0.112137 | − | 0.129414i | ||||
\(248\) | −18.9360 | − | 29.4650i | −0.0763548 | − | 0.118810i | ||||
\(249\) | −36.1825 | + | 31.3523i | −0.145311 | + | 0.125913i | ||||
\(250\) | −164.940 | − | 63.5987i | −0.659760 | − | 0.254395i | ||||
\(251\) | −432.209 | − | 197.383i | −1.72195 | − | 0.786388i | −0.995020 | − | 0.0996742i | \(-0.968220\pi\) |
−0.726928 | − | 0.686713i | \(-0.759053\pi\) | |||||||
\(252\) | −186.224 | −0.738985 | ||||||||
\(253\) | 69.0427 | − | 296.515i | 0.272896 | − | 1.17199i | ||||
\(254\) | −68.2010 | −0.268508 | ||||||||
\(255\) | 5.67923 | − | 11.5827i | 0.0222715 | − | 0.0454225i | ||||
\(256\) | −15.3519 | − | 4.50772i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | 178.968 | − | 155.077i | 0.696373 | − | 0.603411i | −0.233033 | − | 0.972469i | \(-0.574865\pi\) |
0.929406 | + | 0.369058i | \(0.120320\pi\) | |||||||
\(258\) | 16.1808 | − | 10.3987i | 0.0627161 | − | 0.0403052i | ||||
\(259\) | −462.738 | + | 534.028i | −1.78663 | + | 2.06188i | ||||
\(260\) | 3.45168 | − | 20.0752i | 0.0132757 | − | 0.0772121i | ||||
\(261\) | −22.9353 | + | 6.73440i | −0.0878746 | + | 0.0258023i | ||||
\(262\) | −27.9767 | + | 43.5326i | −0.106781 | + | 0.166155i | ||||
\(263\) | −56.7870 | − | 394.962i | −0.215920 | − | 1.50176i | −0.752885 | − | 0.658152i | \(-0.771338\pi\) |
0.536965 | − | 0.843605i | \(-0.319571\pi\) | |||||||
\(264\) | −32.8026 | + | 14.9804i | −0.124252 | + | 0.0567441i | ||||
\(265\) | 127.249 | − | 53.9391i | 0.480187 | − | 0.203544i | ||||
\(266\) | −48.2048 | − | 335.272i | −0.181221 | − | 1.26042i | ||||
\(267\) | −5.95196 | − | 3.82510i | −0.0222920 | − | 0.0143262i | ||||
\(268\) | 161.867 | − | 47.5285i | 0.603982 | − | 0.177345i | ||||
\(269\) | 54.7293 | − | 380.650i | 0.203455 | − | 1.41506i | −0.590479 | − | 0.807053i | \(-0.701061\pi\) |
0.793934 | − | 0.608004i | \(-0.208030\pi\) | |||||||
\(270\) | 85.7506 | + | 78.5297i | 0.317595 | + | 0.290851i | ||||
\(271\) | −290.759 | + | 186.860i | −1.07291 | + | 0.689519i | −0.952910 | − | 0.303254i | \(-0.901927\pi\) |
−0.120003 | + | 0.992773i | \(0.538291\pi\) | |||||||
\(272\) | −7.01649 | − | 8.09746i | −0.0257959 | − | 0.0297701i | ||||
\(273\) | 21.7146 | + | 6.37599i | 0.0795407 | + | 0.0233553i | ||||
\(274\) | 7.93950 | + | 3.62585i | 0.0289763 | + | 0.0132330i | ||||
\(275\) | −18.1739 | + | 330.421i | −0.0660871 | + | 1.20153i | ||||
\(276\) | 10.0480 | − | 43.1525i | 0.0364057 | − | 0.156350i | ||||
\(277\) | 51.2192i | 0.184907i | 0.995717 | + | 0.0924534i | \(0.0294709\pi\) | ||||
−0.995717 | + | 0.0924534i | \(0.970529\pi\) | |||||||
\(278\) | −230.800 | − | 105.403i | −0.830216 | − | 0.379147i | ||||
\(279\) | 95.9116 | + | 28.1622i | 0.343769 | + | 0.100940i | ||||
\(280\) | −103.399 | − | 126.171i | −0.369281 | − | 0.450612i | ||||
\(281\) | −156.718 | − | 243.858i | −0.557714 | − | 0.867821i | 0.441857 | − | 0.897085i | \(-0.354320\pi\) |
−0.999572 | + | 0.0292647i | \(0.990683\pi\) | |||||||
\(282\) | 0.967648 | + | 0.838472i | 0.00343138 | + | 0.00297331i | ||||
\(283\) | 69.3245 | − | 482.162i | 0.244963 | − | 1.70375i | −0.381554 | − | 0.924346i | \(-0.624611\pi\) |
0.626517 | − | 0.779408i | \(-0.284480\pi\) | |||||||
\(284\) | −232.415 | + | 68.2432i | −0.818363 | + | 0.240293i | ||||
\(285\) | −56.3542 | + | 82.6079i | −0.197734 | + | 0.289852i | ||||
\(286\) | −37.7434 | + | 5.42668i | −0.131970 | + | 0.0189744i | ||||
\(287\) | 284.036 | + | 621.952i | 0.989673 | + | 2.16708i | ||||
\(288\) | 41.5371 | − | 18.9693i | 0.144226 | − | 0.0658658i | ||||
\(289\) | 40.1079 | + | 278.956i | 0.138782 | + | 0.965247i | ||||
\(290\) | −17.2972 | − | 11.8000i | −0.0596456 | − | 0.0406896i | ||||
\(291\) | −0.545203 | − | 1.85679i | −0.00187355 | − | 0.00638072i | ||||
\(292\) | −30.0450 | − | 4.31983i | −0.102894 | − | 0.0147939i | ||||
\(293\) | −37.9857 | + | 43.8378i | −0.129644 | + | 0.149617i | −0.816860 | − | 0.576836i | \(-0.804287\pi\) |
0.687216 | + | 0.726453i | \(0.258833\pi\) | |||||||
\(294\) | 96.3176 | − | 61.8996i | 0.327611 | − | 0.210543i | ||||
\(295\) | 198.238 | − | 162.458i | 0.671994 | − | 0.550706i | ||||
\(296\) | 48.8154 | − | 166.250i | 0.164917 | − | 0.561655i | ||||
\(297\) | 90.4212 | − | 197.995i | 0.304449 | − | 0.666649i | ||||
\(298\) | 102.017 | 0.342340 | ||||||||
\(299\) | 23.0498 | − | 40.7881i | 0.0770895 | − | 0.136415i | ||||
\(300\) | −2.64490 | + | 48.0870i | −0.00881634 | + | 0.160290i | ||||
\(301\) | 67.6608 | − | 148.156i | 0.224787 | − | 0.492214i | ||||
\(302\) | 30.2821 | − | 103.131i | 0.100272 | − | 0.341495i | ||||
\(303\) | 47.0275 | − | 40.7496i | 0.155206 | − | 0.134487i | ||||
\(304\) | 44.9037 | + | 69.8715i | 0.147710 | + | 0.229841i | ||||
\(305\) | 209.064 | − | 228.288i | 0.685457 | − | 0.748485i | ||||
\(306\) | 30.2676 | + | 4.35182i | 0.0989136 | + | 0.0142216i | ||||
\(307\) | 162.520 | + | 553.491i | 0.529380 | + | 1.80290i | 0.593342 | + | 0.804951i | \(0.297808\pi\) |
−0.0639619 | + | 0.997952i | \(0.520374\pi\) | |||||||
\(308\) | −165.095 | + | 256.893i | −0.536023 | + | 0.834067i | ||||
\(309\) | −111.258 | + | 15.9964i | −0.360057 | + | 0.0517684i | ||||
\(310\) | 34.1732 | + | 80.6191i | 0.110236 | + | 0.260061i | ||||
\(311\) | 75.9925 | + | 166.400i | 0.244349 | + | 0.535049i | 0.991577 | − | 0.129518i | \(-0.0413431\pi\) |
−0.747228 | + | 0.664568i | \(0.768616\pi\) | |||||||
\(312\) | −5.49289 | + | 0.789758i | −0.0176054 | + | 0.00253128i | ||||
\(313\) | −122.962 | − | 79.0227i | −0.392849 | − | 0.252469i | 0.329273 | − | 0.944235i | \(-0.393196\pi\) |
−0.722121 | + | 0.691766i | \(0.756833\pi\) | |||||||
\(314\) | −110.478 | − | 376.253i | −0.351841 | − | 1.19826i | ||||
\(315\) | 458.828 | + | 78.8900i | 1.45660 | + | 0.250444i | ||||
\(316\) | −173.147 | − | 150.033i | −0.547934 | − | 0.474788i | ||||
\(317\) | −178.633 | − | 277.959i | −0.563512 | − | 0.876841i | 0.436224 | − | 0.899838i | \(-0.356316\pi\) |
−0.999736 | + | 0.0229969i | \(0.992679\pi\) | |||||||
\(318\) | −24.6573 | − | 28.4560i | −0.0775387 | − | 0.0894844i | ||||
\(319\) | −11.0430 | + | 37.6090i | −0.0346176 | + | 0.117897i | ||||
\(320\) | 35.9151 | + | 17.6098i | 0.112235 | + | 0.0550307i | ||||
\(321\) | 121.545i | 0.378644i | ||||||||
\(322\) | −125.980 | − | 353.410i | −0.391243 | − | 1.09755i | ||||
\(323\) | 55.6191i | 0.172195i | ||||||||
\(324\) | −47.2008 | + | 103.355i | −0.145682 | + | 0.318998i | ||||
\(325\) | −17.0088 | + | 47.9999i | −0.0523349 | + | 0.147692i | ||||
\(326\) | 155.781 | + | 179.781i | 0.477857 | + | 0.551476i | ||||
\(327\) | −118.502 | + | 76.1564i | −0.362390 | + | 0.232894i | ||||
\(328\) | −126.708 | − | 109.793i | −0.386304 | − | 0.334734i | ||||
\(329\) | 10.7320 | + | 1.54302i | 0.0326200 | + | 0.00469004i | ||||
\(330\) | 87.1667 | − | 23.0134i | 0.264141 | − | 0.0697375i | ||||
\(331\) | −390.337 | − | 250.854i | −1.17927 | − | 0.757868i | −0.204014 | − | 0.978968i | \(-0.565399\pi\) |
−0.975251 | + | 0.221100i | \(0.929035\pi\) | |||||||
\(332\) | −14.1477 | − | 98.3998i | −0.0426137 | − | 0.296385i | ||||
\(333\) | 205.424 | + | 449.816i | 0.616890 | + | 1.35080i | ||||
\(334\) | 130.288 | + | 285.291i | 0.390083 | + | 0.854163i | ||||
\(335\) | −418.950 | + | 48.5313i | −1.25060 | + | 0.144870i | ||||
\(336\) | −24.0267 | + | 37.3863i | −0.0715080 | + | 0.111269i | ||||
\(337\) | 568.246 | − | 166.852i | 1.68619 | − | 0.495110i | 0.708596 | − | 0.705614i | \(-0.249329\pi\) |
0.977593 | + | 0.210505i | \(0.0675107\pi\) | |||||||
\(338\) | 230.761 | + | 33.1784i | 0.682725 | + | 0.0981611i | ||||
\(339\) | −147.719 | − | 127.999i | −0.435750 | − | 0.377580i | ||||
\(340\) | 13.8572 | + | 22.9233i | 0.0407565 | + | 0.0674214i | ||||
\(341\) | 123.879 | − | 107.341i | 0.363280 | − | 0.314784i | ||||
\(342\) | −227.439 | − | 66.7822i | −0.665027 | − | 0.195269i | ||||
\(343\) | 167.962 | − | 367.786i | 0.489685 | − | 1.07226i | ||||
\(344\) | 39.9382i | 0.116099i | ||||||||
\(345\) | −43.0373 | + | 102.065i | −0.124746 | + | 0.295839i | ||||
\(346\) | −39.8334 | −0.115126 | ||||||||
\(347\) | −245.910 | − | 112.303i | −0.708675 | − | 0.323641i | 0.0282640 | − | 0.999600i | \(-0.491002\pi\) |
−0.736939 | + | 0.675960i | \(0.763729\pi\) | |||||||
\(348\) | −1.60712 | + | 5.47334i | −0.00461815 | + | 0.0157280i | ||||
\(349\) | −279.421 | − | 322.469i | −0.800634 | − | 0.923981i | 0.197782 | − | 0.980246i | \(-0.436626\pi\) |
−0.998416 | + | 0.0562649i | \(0.982081\pi\) | |||||||
\(350\) | 201.309 | + | 354.669i | 0.575168 | + | 1.01334i | ||||
\(351\) | 21.9351 | − | 25.3144i | 0.0624931 | − | 0.0721208i | ||||
\(352\) | 10.6564 | − | 74.1166i | 0.0302737 | − | 0.210558i | ||||
\(353\) | −24.5588 | − | 83.6397i | −0.0695717 | − | 0.236940i | 0.917365 | − | 0.398047i | \(-0.130312\pi\) |
−0.986937 | + | 0.161107i | \(0.948494\pi\) | |||||||
\(354\) | −58.7407 | − | 37.7503i | −0.165934 | − | 0.106639i | ||||
\(355\) | 601.545 | − | 69.6830i | 1.69449 | − | 0.196290i | ||||
\(356\) | 13.3634 | − | 6.10284i | 0.0375375 | − | 0.0171428i | ||||
\(357\) | −27.0708 | + | 12.3628i | −0.0758286 | + | 0.0346298i | ||||
\(358\) | −324.000 | + | 46.5841i | −0.905027 | + | 0.130123i | ||||
\(359\) | −183.462 | + | 285.472i | −0.511035 | + | 0.795186i | −0.996886 | − | 0.0788556i | \(-0.974873\pi\) |
0.485851 | + | 0.874042i | \(0.338510\pi\) | |||||||
\(360\) | −110.377 | + | 29.1412i | −0.306602 | + | 0.0809479i | ||||
\(361\) | 9.98318 | − | 69.4346i | 0.0276542 | − | 0.192339i | ||||
\(362\) | −83.5424 | + | 96.4131i | −0.230780 | + | 0.266334i | ||||
\(363\) | −28.2312 | − | 43.9285i | −0.0777718 | − | 0.121015i | ||||
\(364\) | −35.5144 | + | 30.7734i | −0.0975670 | + | 0.0845423i | ||||
\(365\) | 72.1964 | + | 23.3713i | 0.197798 | + | 0.0640311i | ||||
\(366\) | −76.7114 | − | 35.0329i | −0.209594 | − | 0.0957184i | ||||
\(367\) | −158.090 | −0.430764 | −0.215382 | − | 0.976530i | \(-0.569100\pi\) | ||||
−0.215382 | + | 0.976530i | \(0.569100\pi\) | |||||||
\(368\) | 64.0990 | + | 65.9948i | 0.174182 | + | 0.179334i | ||||
\(369\) | 478.492 | 1.29673 | ||||||||
\(370\) | −190.702 | + | 388.935i | −0.515410 | + | 1.05117i | ||||
\(371\) | −305.929 | − | 89.8289i | −0.824607 | − | 0.242126i | ||||
\(372\) | 18.0284 | − | 15.6217i | 0.0484633 | − | 0.0419937i | ||||
\(373\) | −570.616 | + | 366.712i | −1.52980 | + | 0.983143i | −0.539845 | + | 0.841764i | \(0.681517\pi\) |
−0.989956 | + | 0.141379i | \(0.954846\pi\) | |||||||
\(374\) | 32.8366 | − | 37.8955i | 0.0877984 | − | 0.101325i | ||||
\(375\) | 26.8877 | − | 117.359i | 0.0717005 | − | 0.312956i | ||||
\(376\) | −2.55093 | + | 0.749019i | −0.00678438 | + | 0.00199207i | ||||
\(377\) | −3.26108 | + | 5.07433i | −0.00865007 | + | 0.0134598i | ||||
\(378\) | −38.1752 | − | 265.514i | −0.100993 | − | 0.702419i | ||||
\(379\) | 294.348 | − | 134.424i | 0.776644 | − | 0.354681i | 0.0126628 | − | 0.999920i | \(-0.495969\pi\) |
0.763981 | + | 0.645238i | \(0.223242\pi\) | |||||||
\(380\) | −81.0362 | − | 191.175i | −0.213253 | − | 0.503093i | ||||
\(381\) | −6.61058 | − | 45.9776i | −0.0173506 | − | 0.120676i | ||||
\(382\) | −68.1906 | − | 43.8234i | −0.178509 | − | 0.114721i | ||||
\(383\) | −436.582 | + | 128.192i | −1.13990 | + | 0.334705i | −0.796592 | − | 0.604517i | \(-0.793366\pi\) |
−0.343310 | + | 0.939222i | \(0.611548\pi\) | |||||||
\(384\) | 1.55085 | − | 10.7864i | 0.00403866 | − | 0.0280895i | ||||
\(385\) | 515.596 | − | 563.005i | 1.33921 | − | 1.46235i | ||||
\(386\) | 442.811 | − | 284.577i | 1.14718 | − | 0.737247i | ||||
\(387\) | −74.6427 | − | 86.1423i | −0.192875 | − | 0.222590i | ||||
\(388\) | 3.85549 | + | 1.13207i | 0.00993682 | + | 0.00291771i | ||||
\(389\) | 576.199 | + | 263.141i | 1.48123 | + | 0.676456i | 0.981804 | − | 0.189900i | \(-0.0608162\pi\) |
0.499428 | + | 0.866355i | \(0.333544\pi\) | |||||||
\(390\) | 13.8682 | + | 0.381104i | 0.0355595 | + | 0.000977190i | ||||
\(391\) | 12.2172 | + | 60.3847i | 0.0312460 | + | 0.154437i | ||||
\(392\) | 237.736i | 0.606470i | ||||||||
\(393\) | −32.0592 | − | 14.6409i | −0.0815755 | − | 0.0372543i | ||||
\(394\) | 319.349 | + | 93.7694i | 0.810531 | + | 0.237993i | ||||
\(395\) | 363.050 | + | 443.008i | 0.919113 | + | 1.12154i | ||||
\(396\) | 115.536 | + | 179.778i | 0.291758 | + | 0.453984i | ||||
\(397\) | 461.769 | + | 400.125i | 1.16315 | + | 1.00787i | 0.999773 | + | 0.0213077i | \(0.00678298\pi\) |
0.163373 | + | 0.986564i | \(0.447762\pi\) | |||||||
\(398\) | −67.8886 | + | 472.176i | −0.170574 | + | 1.18637i | ||||
\(399\) | 221.350 | − | 64.9943i | 0.554763 | − | 0.162893i | ||||
\(400\) | −81.0292 | − | 58.6026i | −0.202573 | − | 0.146507i | ||||
\(401\) | −272.011 | + | 39.1093i | −0.678332 | + | 0.0975295i | −0.472865 | − | 0.881135i | \(-0.656780\pi\) |
−0.205467 | + | 0.978664i | \(0.565871\pi\) | |||||||
\(402\) | 47.7307 | + | 104.516i | 0.118733 | + | 0.259989i | ||||
\(403\) | 22.9449 | − | 10.4786i | 0.0569351 | − | 0.0260014i | ||||
\(404\) | 18.3883 | + | 127.893i | 0.0455155 | + | 0.316567i | ||||
\(405\) | 160.080 | − | 234.656i | 0.395259 | − | 0.579398i | ||||
\(406\) | 13.6091 | + | 46.3484i | 0.0335200 | + | 0.114159i | ||||
\(407\) | 802.629 | + | 115.401i | 1.97206 | + | 0.283540i | ||||
\(408\) | 4.77879 | − | 5.51502i | 0.0117127 | − | 0.0135172i | ||||
\(409\) | 249.811 | − | 160.544i | 0.610784 | − | 0.392527i | −0.198367 | − | 0.980128i | \(-0.563564\pi\) |
0.809151 | + | 0.587601i | \(0.199927\pi\) | |||||||
\(410\) | 265.677 | + | 324.190i | 0.647992 | + | 0.790707i | ||||
\(411\) | −1.67480 | + | 5.70384i | −0.00407494 | + | 0.0138780i | ||||
\(412\) | 96.9552 | − | 212.302i | 0.235328 | − | 0.515297i | ||||
\(413\) | −591.282 | −1.43168 | ||||||||
\(414\) | −261.596 | − | 22.5454i | −0.631874 | − | 0.0544574i | ||||
\(415\) | −6.82711 | + | 248.435i | −0.0164509 | + | 0.598639i | ||||
\(416\) | 4.78677 | − | 10.4816i | 0.0115067 | − | 0.0251961i | ||||
\(417\) | 48.6862 | − | 165.810i | 0.116753 | − | 0.397626i | ||||
\(418\) | −293.758 | + | 254.543i | −0.702771 | + | 0.608954i | ||||
\(419\) | −409.243 | − | 636.795i | −0.976714 | − | 1.51980i | −0.849275 | − | 0.527950i | \(-0.822961\pi\) |
−0.127439 | − | 0.991846i | \(-0.540676\pi\) | |||||||
\(420\) | 75.0360 | − | 81.9356i | 0.178657 | − | 0.195085i | ||||
\(421\) | −80.2016 | − | 11.5313i | −0.190503 | − | 0.0273902i | 0.0464030 | − | 0.998923i | \(-0.485224\pi\) |
−0.236906 | + | 0.971533i | \(0.576133\pi\) | |||||||
\(422\) | 46.8154 | + | 159.439i | 0.110937 | + | 0.377817i | ||||
\(423\) | 4.10218 | − | 6.38312i | 0.00969783 | − | 0.0150901i | ||||
\(424\) | 77.3873 | − | 11.1266i | 0.182517 | − | 0.0262420i | ||||
\(425\) | −24.4311 | − | 62.3498i | −0.0574850 | − | 0.146705i | ||||
\(426\) | −68.5336 | − | 150.068i | −0.160877 | − | 0.352271i | ||||
\(427\) | −706.861 | + | 101.631i | −1.65541 | + | 0.238012i | ||||
\(428\) | −212.314 | − | 136.446i | −0.496061 | − | 0.318799i | ||||
\(429\) | −7.31677 | − | 24.9186i | −0.0170554 | − | 0.0580854i | ||||
\(430\) | 16.9190 | − | 98.4016i | 0.0393465 | − | 0.228841i | ||||
\(431\) | 272.195 | + | 235.858i | 0.631542 | + | 0.547234i | 0.910730 | − | 0.413002i | \(-0.135520\pi\) |
−0.279188 | + | 0.960236i | \(0.590065\pi\) | |||||||
\(432\) | 35.5610 | + | 55.3339i | 0.0823170 | + | 0.128088i | ||||
\(433\) | 417.345 | + | 481.641i | 0.963844 | + | 1.11234i | 0.993620 | + | 0.112779i | \(0.0359752\pi\) |
−0.0297758 | + | 0.999557i | \(0.509479\pi\) | |||||||
\(434\) | 56.9112 | − | 193.822i | 0.131132 | − | 0.446594i | ||||
\(435\) | 6.27835 | − | 12.8046i | 0.0144330 | − | 0.0294360i | ||||
\(436\) | − | 292.492i | − | 0.670853i | ||||||
\(437\) | −27.1251 | − | 476.804i | −0.0620711 | − | 1.09108i | ||||
\(438\) | − | 20.6735i | − | 0.0471999i | ||||||
\(439\) | −83.3312 | + | 182.470i | −0.189821 | + | 0.415649i | −0.980483 | − | 0.196603i | \(-0.937009\pi\) |
0.790663 | + | 0.612252i | \(0.209736\pi\) | |||||||
\(440\) | −57.6536 | + | 178.098i | −0.131031 | + | 0.404767i | ||||
\(441\) | −444.318 | − | 512.771i | −1.00752 | − | 1.16274i | ||||
\(442\) | 6.49139 | − | 4.17177i | 0.0146864 | − | 0.00943838i | ||||
\(443\) | 179.601 | + | 155.625i | 0.405419 | + | 0.351298i | 0.833574 | − | 0.552408i | \(-0.186291\pi\) |
−0.428155 | + | 0.903705i | \(0.640836\pi\) | |||||||
\(444\) | 116.809 | + | 16.7946i | 0.263083 | + | 0.0378256i | ||||
\(445\) | −35.5106 | + | 9.37535i | −0.0797991 | + | 0.0210682i | ||||
\(446\) | −235.083 | − | 151.079i | −0.527092 | − | 0.338742i | ||||
\(447\) | 9.88834 | + | 68.7749i | 0.0221216 | + | 0.153859i | ||||
\(448\) | −38.3339 | − | 83.9396i | −0.0855668 | − | 0.187365i | ||||
\(449\) | 238.407 | + | 522.039i | 0.530974 | + | 1.16267i | 0.965115 | + | 0.261826i | \(0.0843247\pi\) |
−0.434141 | + | 0.900845i | \(0.642948\pi\) | |||||||
\(450\) | 284.297 | − | 25.0407i | 0.631771 | − | 0.0556459i | ||||
\(451\) | 424.202 | − | 660.071i | 0.940580 | − | 1.46357i | ||||
\(452\) | 389.419 | − | 114.344i | 0.861547 | − | 0.252973i | ||||
\(453\) | 72.4611 | + | 10.4183i | 0.159958 | + | 0.0229985i | ||||
\(454\) | 78.8103 | + | 68.2895i | 0.173591 | + | 0.150417i | ||||
\(455\) | 100.539 | − | 60.7760i | 0.220964 | − | 0.133574i | ||||
\(456\) | −42.7514 | + | 37.0443i | −0.0937530 | + | 0.0812374i | ||||
\(457\) | −5.18302 | − | 1.52187i | −0.0113414 | − | 0.00333014i | 0.276057 | − | 0.961141i | \(-0.410972\pi\) |
−0.287398 | + | 0.957811i | \(0.592790\pi\) | |||||||
\(458\) | 139.083 | − | 304.549i | 0.303675 | − | 0.664954i | ||||
\(459\) | 44.0469i | 0.0959628i | ||||||||
\(460\) | −129.973 | − | 189.755i | −0.282550 | − | 0.412512i | ||||
\(461\) | −739.306 | −1.60370 | −0.801850 | − | 0.597525i | \(-0.796151\pi\) | ||||
−0.801850 | + | 0.597525i | \(0.796151\pi\) | |||||||
\(462\) | −189.186 | − | 86.3984i | −0.409494 | − | 0.187010i | ||||
\(463\) | −67.2805 | + | 229.136i | −0.145314 | + | 0.494895i | −0.999694 | − | 0.0247548i | \(-0.992119\pi\) |
0.854379 | + | 0.519650i | \(0.173938\pi\) | |||||||
\(464\) | −7.75668 | − | 8.95168i | −0.0167170 | − | 0.0192924i | ||||
\(465\) | −51.0369 | + | 30.8520i | −0.109757 | + | 0.0663484i | ||||
\(466\) | 259.557 | − | 299.545i | 0.556989 | − | 0.642800i | ||||
\(467\) | 91.3615 | − | 635.433i | 0.195635 | − | 1.36067i | −0.621133 | − | 0.783705i | \(-0.713328\pi\) |
0.816768 | − | 0.576966i | \(-0.195763\pi\) | |||||||
\(468\) | 9.26504 | + | 31.5538i | 0.0197971 | + | 0.0674227i | ||||
\(469\) | 818.513 | + | 526.026i | 1.74523 | + | 1.12159i | ||||
\(470\) | 6.60239 | − | 0.764823i | 0.0140476 | − | 0.00162728i | ||||
\(471\) | 242.942 | − | 110.948i | 0.515801 | − | 0.235558i | ||||
\(472\) | 131.885 | − | 60.2297i | 0.279416 | − | 0.127605i | ||||
\(473\) | −185.005 | + | 26.5997i | −0.391131 | + | 0.0562362i | ||||
\(474\) | 84.3616 | − | 131.269i | 0.177978 | − | 0.276939i | ||||
\(475\) | 118.673 | + | 505.356i | 0.249839 | + | 1.06391i | ||||
\(476\) | 8.79432 | − | 61.1658i | 0.0184755 | − | 0.128500i | ||||
\(477\) | −146.121 | + | 168.632i | −0.306333 | + | 0.353527i | ||||
\(478\) | −126.972 | − | 197.572i | −0.265632 | − | 0.413331i | ||||
\(479\) | 518.763 | − | 449.510i | 1.08301 | − | 0.938435i | 0.0846933 | − | 0.996407i | \(-0.473009\pi\) |
0.998318 | + | 0.0579723i | \(0.0184635\pi\) | |||||||
\(480\) | −8.39047 | + | 25.9190i | −0.0174801 | + | 0.0539979i | ||||
\(481\) | 113.508 | + | 51.8373i | 0.235983 | + | 0.107770i | ||||
\(482\) | 173.022 | 0.358967 | ||||||||
\(483\) | 226.040 | − | 119.185i | 0.467991 | − | 0.246759i | ||||
\(484\) | 108.427 | 0.224022 | ||||||||
\(485\) | −9.01975 | − | 4.42255i | −0.0185974 | − | 0.00911866i | ||||
\(486\) | −275.071 | − | 80.7680i | −0.565989 | − | 0.166189i | ||||
\(487\) | 58.3164 | − | 50.5314i | 0.119746 | − | 0.103761i | −0.592929 | − | 0.805254i | \(-0.702029\pi\) |
0.712676 | + | 0.701494i | \(0.247483\pi\) | |||||||
\(488\) | 147.312 | − | 94.6715i | 0.301868 | − | 0.193999i | ||||
\(489\) | −106.100 | + | 122.446i | −0.216973 | + | 0.250400i | ||||
\(490\) | 100.712 | − | 585.745i | 0.205534 | − | 1.19540i | ||||
\(491\) | −88.9469 | + | 26.1172i | −0.181155 | + | 0.0531918i | −0.371052 | − | 0.928612i | \(-0.621003\pi\) |
0.189897 | + | 0.981804i | \(0.439185\pi\) | |||||||
\(492\) | 61.7352 | − | 96.0618i | 0.125478 | − | 0.195248i | ||||
\(493\) | −1.12883 | − | 7.85117i | −0.00228971 | − | 0.0159253i | ||||
\(494\) | −54.4101 | + | 24.8483i | −0.110142 | + | 0.0503001i | ||||
\(495\) | −208.504 | − | 491.889i | −0.421220 | − | 0.993715i | ||||
\(496\) | 7.04928 | + | 49.0288i | 0.0142123 | + | 0.0988484i | ||||
\(497\) | −1175.25 | − | 755.288i | −2.36469 | − | 1.51969i | ||||
\(498\) | 64.9647 | − | 19.0754i | 0.130451 | − | 0.0383040i | ||||
\(499\) | −65.3169 | + | 454.289i | −0.130896 | + | 0.910399i | 0.813495 | + | 0.581572i | \(0.197562\pi\) |
−0.944390 | + | 0.328827i | \(0.893347\pi\) | |||||||
\(500\) | 174.818 | + | 178.714i | 0.349636 | + | 0.357428i | ||||
\(501\) | −179.700 | + | 115.486i | −0.358682 | + | 0.230511i | ||||
\(502\) | 440.040 | + | 507.833i | 0.876574 | + | 1.01162i | ||||
\(503\) | −431.084 | − | 126.578i | −0.857027 | − | 0.251646i | −0.176438 | − | 0.984312i | \(-0.556458\pi\) |
−0.680588 | + | 0.732666i | \(0.738276\pi\) | |||||||
\(504\) | 239.562 | + | 109.404i | 0.475321 | + | 0.217072i | ||||
\(505\) | 8.87340 | − | 322.899i | 0.0175711 | − | 0.639404i | ||||
\(506\) | −263.016 | + | 340.879i | −0.519794 | + | 0.673674i | ||||
\(507\) | 158.783i | 0.313182i | ||||||||
\(508\) | 87.7347 | + | 40.0671i | 0.172706 | + | 0.0788723i | ||||
\(509\) | −519.922 | − | 152.663i | −1.02146 | − | 0.299927i | −0.272225 | − | 0.962234i | \(-0.587759\pi\) |
−0.749233 | + | 0.662307i | \(0.769578\pi\) | |||||||
\(510\) | −14.1105 | + | 11.5637i | −0.0276677 | + | 0.0226740i | ||||
\(511\) | −94.6469 | − | 147.273i | −0.185219 | − | 0.288206i | ||||
\(512\) | 17.1007 | + | 14.8178i | 0.0333997 | + | 0.0289410i | ||||
\(513\) | 48.5924 | − | 337.968i | 0.0947220 | − | 0.658806i | ||||
\(514\) | −321.332 | + | 94.3516i | −0.625160 | + | 0.183563i | ||||
\(515\) | −328.820 | + | 482.007i | −0.638486 | + | 0.935936i | ||||
\(516\) | −26.9243 | + | 3.87113i | −0.0521788 | + | 0.00750218i | ||||
\(517\) | −5.16865 | − | 11.3178i | −0.00999738 | − | 0.0218912i | ||||
\(518\) | 909.006 | − | 415.129i | 1.75484 | − | 0.801408i | ||||
\(519\) | −3.86097 | − | 26.8537i | −0.00743925 | − | 0.0517411i | ||||
\(520\) | −16.2342 | + | 23.7971i | −0.0312195 | + | 0.0457637i | ||||
\(521\) | 141.329 | + | 481.322i | 0.271265 | + | 0.923843i | 0.976617 | + | 0.214986i | \(0.0689707\pi\) |
−0.705352 | + | 0.708857i | \(0.749211\pi\) | |||||||
\(522\) | 33.4606 | + | 4.81091i | 0.0641008 | + | 0.00921630i | ||||
\(523\) | 102.734 | − | 118.561i | 0.196432 | − | 0.226694i | −0.648986 | − | 0.760801i | \(-0.724806\pi\) |
0.845417 | + | 0.534107i | \(0.179352\pi\) | |||||||
\(524\) | 61.5644 | − | 39.5651i | 0.117489 | − | 0.0755058i | ||||
\(525\) | −219.587 | + | 170.089i | −0.418262 | + | 0.323980i | ||||
\(526\) | −158.983 | + | 541.446i | −0.302249 | + | 1.02937i | ||||
\(527\) | −13.7793 | + | 30.1725i | −0.0261467 | + | 0.0572533i | ||||
\(528\) | 50.9985 | 0.0965880 | ||||||||
\(529\) | −134.183 | − | 511.699i | −0.253654 | − | 0.967295i | ||||
\(530\) | −195.384 | − | 5.36923i | −0.368649 | − | 0.0101306i | ||||
\(531\) | −171.894 | + | 376.395i | −0.323717 | + | 0.708842i | ||||
\(532\) | −134.956 | + | 459.618i | −0.253676 | + | 0.863943i | ||||
\(533\) | 91.2522 | − | 79.0705i | 0.171205 | − | 0.148350i | ||||
\(534\) | 5.40950 | + | 8.41735i | 0.0101302 | + | 0.0157628i | ||||
\(535\) | 465.307 | + | 426.124i | 0.869732 | + | 0.796494i | ||||
\(536\) | −236.151 | − | 33.9533i | −0.440579 | − | 0.0633458i | ||||
\(537\) | −62.8092 | − | 213.909i | −0.116963 | − | 0.398340i | ||||
\(538\) | −294.031 | + | 457.521i | −0.546526 | + | 0.850411i | ||||
\(539\) | −1101.26 | + | 158.338i | −2.04316 | + | 0.293762i | ||||
\(540\) | −64.1757 | − | 151.399i | −0.118844 | − | 0.280368i | ||||
\(541\) | 113.431 | + | 248.380i | 0.209669 | + | 0.459112i | 0.985025 | − | 0.172413i | \(-0.0551565\pi\) |
−0.775355 | + | 0.631525i | \(0.782429\pi\) | |||||||
\(542\) | 483.814 | − | 69.5620i | 0.892646 | − | 0.128343i | ||||
\(543\) | −73.0943 | − | 46.9749i | −0.134612 | − | 0.0865099i | ||||
\(544\) | 4.26897 | + | 14.5388i | 0.00784737 | + | 0.0267257i | ||||
\(545\) | −123.908 | + | 720.655i | −0.227354 | + | 1.32230i | ||||
\(546\) | −24.1882 | − | 20.9592i | −0.0443007 | − | 0.0383868i | ||||
\(547\) | 439.771 | + | 684.296i | 0.803968 | + | 1.25100i | 0.964530 | + | 0.263973i | \(0.0850330\pi\) |
−0.160562 | + | 0.987026i | \(0.551331\pi\) | |||||||
\(548\) | −8.08335 | − | 9.32868i | −0.0147506 | − | 0.0170231i | ||||
\(549\) | −140.798 | + | 479.515i | −0.256463 | + | 0.873434i | ||||
\(550\) | 217.497 | − | 414.381i | 0.395449 | − | 0.753420i | ||||
\(551\) | 61.4866i | 0.111591i | ||||||||
\(552\) | −38.2773 | + | 49.6090i | −0.0693430 | + | 0.0898714i | ||||
\(553\) | − | 1321.35i | − | 2.38943i | ||||||
\(554\) | 30.0905 | − | 65.8890i | 0.0543150 | − | 0.118933i | ||||
\(555\) | −280.684 | − | 90.8627i | −0.505737 | − | 0.163717i | ||||
\(556\) | 234.982 | + | 271.183i | 0.422629 | + | 0.487740i | ||||
\(557\) | −173.668 | + | 111.609i | −0.311791 | + | 0.200376i | −0.687172 | − | 0.726495i | \(-0.741148\pi\) |
0.375381 | + | 0.926871i | \(0.377512\pi\) | |||||||
\(558\) | −106.837 | − | 92.5749i | −0.191464 | − | 0.165905i | ||||
\(559\) | −28.4699 | − | 4.09335i | −0.0509300 | − | 0.00732263i | ||||
\(560\) | 58.8897 | + | 223.054i | 0.105160 | + | 0.398310i | ||||
\(561\) | 28.7300 | + | 18.4636i | 0.0512120 | + | 0.0329120i | ||||
\(562\) | 58.3411 | + | 405.771i | 0.103810 | + | 0.722013i | ||||
\(563\) | 340.556 | + | 745.713i | 0.604894 | + | 1.32453i | 0.926012 | + | 0.377495i | \(0.123214\pi\) |
−0.321117 | + | 0.947039i | \(0.604058\pi\) | |||||||
\(564\) | −0.752206 | − | 1.64710i | −0.00133370 | − | 0.00292039i | ||||
\(565\) | −1007.91 | + | 116.756i | −1.78391 | + | 0.206648i | ||||
\(566\) | −372.443 | + | 579.533i | −0.658027 | + | 1.02391i | ||||
\(567\) | −628.768 | + | 184.623i | −1.10894 | + | 0.325614i | ||||
\(568\) | 339.074 | + | 48.7515i | 0.596961 | + | 0.0858300i | ||||
\(569\) | −789.632 | − | 684.220i | −1.38775 | − | 1.20250i | −0.953384 | − | 0.301760i | \(-0.902426\pi\) |
−0.434370 | − | 0.900735i | \(-0.643029\pi\) | |||||||
\(570\) | 121.026 | − | 73.1607i | 0.212326 | − | 0.128352i | ||||
\(571\) | 289.687 | − | 251.015i | 0.507332 | − | 0.439606i | −0.363204 | − | 0.931710i | \(-0.618317\pi\) |
0.870537 | + | 0.492103i | \(0.163772\pi\) | |||||||
\(572\) | 51.7417 | + | 15.1927i | 0.0904575 | + | 0.0265607i | ||||
\(573\) | 22.9339 | − | 50.2183i | 0.0400243 | − | 0.0876410i | ||||
\(574\) | − | 966.955i | − | 1.68459i | ||||||
\(575\) | 239.847 | + | 522.588i | 0.417125 | + | 0.908849i | ||||
\(576\) | −64.5781 | −0.112115 | ||||||||
\(577\) | −340.028 | − | 155.286i | −0.589304 | − | 0.269126i | 0.0983651 | − | 0.995150i | \(-0.468639\pi\) |
−0.687669 | + | 0.726024i | \(0.741366\pi\) | |||||||
\(578\) | 112.288 | − | 382.416i | 0.194269 | − | 0.661620i | ||||
\(579\) | 234.768 | + | 270.937i | 0.405472 | + | 0.467939i | ||||
\(580\) | 15.3191 | + | 25.3415i | 0.0264122 | + | 0.0436923i | ||||
\(581\) | 375.463 | − | 433.308i | 0.646236 | − | 0.745796i | ||||
\(582\) | −0.389481 | + | 2.70890i | −0.000669211 | + | 0.00465447i | ||||
\(583\) | 103.083 | + | 351.070i | 0.176815 | + | 0.602178i | ||||
\(584\) | 36.1125 | + | 23.2081i | 0.0618365 | + | 0.0397399i | ||||
\(585\) | −9.46052 | − | 81.6687i | −0.0161718 | − | 0.139605i | ||||
\(586\) | 74.6194 | − | 34.0775i | 0.127337 | − | 0.0581528i | ||||
\(587\) | 699.505 | − | 319.453i | 1.19166 | − | 0.544213i | 0.281940 | − | 0.959432i | \(-0.409022\pi\) |
0.909722 | + | 0.415219i | \(0.136295\pi\) | |||||||
\(588\) | −160.269 | + | 23.0433i | −0.272567 | + | 0.0391892i | ||||
\(589\) | 139.013 | − | 216.309i | 0.236016 | − | 0.367248i | ||||
\(590\) | −350.458 | + | 92.5265i | −0.593997 | + | 0.156825i | ||||
\(591\) | −32.2606 | + | 224.378i | −0.0545865 | + | 0.379658i | ||||
\(592\) | −160.466 | + | 185.188i | −0.271058 | + | 0.312817i | ||||
\(593\) | 114.561 | + | 178.260i | 0.193188 | + | 0.300607i | 0.924312 | − | 0.381638i | \(-0.124640\pi\) |
−0.731123 | + | 0.682245i | \(0.761004\pi\) | |||||||
\(594\) | −232.638 | + | 201.582i | −0.391647 | + | 0.339364i | ||||
\(595\) | −47.5795 | + | 146.978i | −0.0799655 | + | 0.247021i | ||||
\(596\) | −131.237 | − | 59.9338i | −0.220196 | − | 0.100560i | ||||
\(597\) | −324.897 | −0.544216 | ||||||||
\(598\) | −53.6139 | + | 38.9289i | −0.0896554 | + | 0.0650985i | ||||
\(599\) | −336.086 | −0.561078 | −0.280539 | − | 0.959843i | \(-0.590513\pi\) | ||||
−0.280539 | + | 0.959843i | \(0.590513\pi\) | |||||||
\(600\) | 31.6529 | − | 60.3060i | 0.0527548 | − | 0.100510i | ||||
\(601\) | 212.651 | + | 62.4400i | 0.353829 | + | 0.103894i | 0.453816 | − | 0.891095i | \(-0.350062\pi\) |
−0.0999877 | + | 0.994989i | \(0.531880\pi\) | |||||||
\(602\) | −174.080 | + | 150.841i | −0.289169 | + | 0.250566i | ||||
\(603\) | 572.808 | − | 368.121i | 0.949930 | − | 0.610483i | ||||
\(604\) | −99.5436 | + | 114.879i | −0.164807 | + | 0.190198i | ||||
\(605\) | −267.147 | − | 45.9327i | −0.441565 | − | 0.0759218i | ||||
\(606\) | −84.4366 | + | 24.7928i | −0.139334 | + | 0.0409123i | ||||
\(607\) | 143.054 | − | 222.597i | 0.235675 | − | 0.366717i | −0.703191 | − | 0.711001i | \(-0.748242\pi\) |
0.938865 | + | 0.344284i | \(0.111878\pi\) | |||||||
\(608\) | −16.7162 | − | 116.264i | −0.0274938 | − | 0.191224i | ||||
\(609\) | −29.9266 | + | 13.6670i | −0.0491406 | + | 0.0224418i | ||||
\(610\) | −403.059 | + | 170.851i | −0.660753 | + | 0.280083i | ||||
\(611\) | −0.272487 | − | 1.89519i | −0.000445970 | − | 0.00310179i | ||||
\(612\) | −36.3800 | − | 23.3800i | −0.0594444 | − | 0.0382026i | ||||
\(613\) | −124.939 | + | 36.6853i | −0.203815 | + | 0.0598455i | −0.382047 | − | 0.924143i | \(-0.624781\pi\) |
0.178231 | + | 0.983989i | \(0.442962\pi\) | |||||||
\(614\) | 116.101 | − | 807.497i | 0.189089 | − | 1.31514i | ||||
\(615\) | −192.800 | + | 210.529i | −0.313497 | + | 0.342323i | ||||
\(616\) | 363.301 | − | 233.480i | 0.589775 | − | 0.379025i | ||||
\(617\) | −290.786 | − | 335.585i | −0.471290 | − | 0.543898i | 0.469480 | − | 0.882943i | \(-0.344441\pi\) |
−0.940770 | + | 0.339045i | \(0.889896\pi\) | |||||||
\(618\) | 152.521 | + | 44.7842i | 0.246798 | + | 0.0724663i | ||||
\(619\) | 464.387 | + | 212.079i | 0.750222 | + | 0.342615i | 0.753560 | − | 0.657380i | \(-0.228335\pi\) |
−0.00333787 | + | 0.999994i | \(0.501062\pi\) | |||||||
\(620\) | 3.40168 | − | 123.786i | 0.00548659 | − | 0.199654i | ||||
\(621\) | −21.4814 | − | 377.599i | −0.0345916 | − | 0.608050i | ||||
\(622\) | − | 258.704i | − | 0.415923i | ||||||
\(623\) | 77.0720 | + | 35.1976i | 0.123711 | + | 0.0564970i | ||||
\(624\) | 7.53010 | + | 2.21104i | 0.0120675 | + | 0.00354333i | ||||
\(625\) | −355.016 | − | 514.382i | −0.568025 | − | 0.823011i | ||||
\(626\) | 111.755 | + | 173.894i | 0.178522 | + | 0.277786i | ||||
\(627\) | −200.073 | − | 173.364i | −0.319096 | − | 0.276498i | ||||
\(628\) | −78.9230 | + | 548.922i | −0.125674 | + | 0.874079i | ||||
\(629\) | −157.444 | + | 46.2298i | −0.250309 | + | 0.0734974i | ||||
\(630\) | −543.896 | − | 371.040i | −0.863327 | − | 0.588952i | ||||
\(631\) | −455.672 | + | 65.5158i | −0.722143 | + | 0.103828i | −0.493580 | − | 0.869701i | \(-0.664312\pi\) |
−0.228563 | + | 0.973529i | \(0.573403\pi\) | |||||||
\(632\) | 134.597 | + | 294.726i | 0.212970 | + | 0.466338i | ||||
\(633\) | −102.948 | + | 47.0146i | −0.162634 | + | 0.0742726i | ||||
\(634\) | 66.4995 | + | 462.514i | 0.104889 | + | 0.729518i | ||||
\(635\) | −199.191 | − | 135.886i | −0.313687 | − | 0.213994i | ||||
\(636\) | 15.0020 | + | 51.0920i | 0.0235880 | + | 0.0803334i | ||||
\(637\) | −169.470 | − | 24.3661i | −0.266044 | − | 0.0382513i | ||||
\(638\) | 36.3006 | − | 41.8932i | 0.0568976 | − | 0.0656633i | ||||
\(639\) | −822.459 | + | 528.562i | −1.28710 | + | 0.827171i | ||||
\(640\) | −35.8561 | − | 43.7531i | −0.0560252 | − | 0.0683643i | ||||
\(641\) | −40.5191 | + | 137.995i | −0.0632123 | + | 0.215281i | −0.985042 | − | 0.172313i | \(-0.944876\pi\) |
0.921830 | + | 0.387595i | \(0.126694\pi\) | |||||||
\(642\) | 71.4057 | − | 156.357i | 0.111224 | − | 0.243546i | ||||
\(643\) | −850.938 | −1.32339 | −0.661694 | − | 0.749774i | \(-0.730162\pi\) | ||||
−0.661694 | + | 0.749774i | \(0.730162\pi\) | |||||||
\(644\) | −45.5605 | + | 528.643i | −0.0707461 | + | 0.820874i | ||||
\(645\) | 67.9772 | + | 1.86804i | 0.105391 | + | 0.00289619i | ||||
\(646\) | 32.6754 | − | 71.5492i | 0.0505812 | − | 0.110757i | ||||
\(647\) | 67.4842 | − | 229.830i | 0.104303 | − | 0.355224i | −0.890759 | − | 0.454476i | \(-0.849827\pi\) |
0.995062 | + | 0.0992513i | \(0.0316448\pi\) | |||||||
\(648\) | 121.440 | − | 105.228i | 0.187407 | − | 0.162389i | ||||
\(649\) | 366.839 | + | 570.813i | 0.565237 | + | 0.879527i | ||||
\(650\) | 50.0796 | − | 51.7552i | 0.0770456 | − | 0.0796235i | ||||
\(651\) | 136.181 | + | 19.5799i | 0.209187 | + | 0.0300766i | ||||
\(652\) | −94.7803 | − | 322.792i | −0.145369 | − | 0.495080i | ||||
\(653\) | −471.548 | + | 733.743i | −0.722126 | + | 1.12365i | 0.265085 | + | 0.964225i | \(0.414600\pi\) |
−0.987210 | + | 0.159424i | \(0.949036\pi\) | |||||||
\(654\) | 197.183 | − | 28.3506i | 0.301503 | − | 0.0433496i | ||||
\(655\) | −168.446 | + | 71.4017i | −0.257170 | + | 0.109010i | ||||
\(656\) | 98.4968 | + | 215.678i | 0.150148 | + | 0.328777i | ||||
\(657\) | −121.266 | + | 17.4354i | −0.184575 | + | 0.0265379i | ||||
\(658\) | −12.8992 | − | 8.28984i | −0.0196037 | − | 0.0125985i | ||||
\(659\) | −97.0750 | − | 330.607i | −0.147307 | − | 0.501680i | 0.852471 | − | 0.522775i | \(-0.175103\pi\) |
−0.999777 | + | 0.0210946i | \(0.993285\pi\) | |||||||
\(660\) | −125.652 | − | 21.6044i | −0.190382 | − | 0.0327340i | ||||
\(661\) | 445.134 | + | 385.711i | 0.673425 | + | 0.583526i | 0.922986 | − | 0.384833i | \(-0.125741\pi\) |
−0.249561 | + | 0.968359i | \(0.580286\pi\) | |||||||
\(662\) | 354.762 | + | 552.020i | 0.535894 | + | 0.833867i | ||||
\(663\) | 3.44159 | + | 3.97180i | 0.00519093 | + | 0.00599065i | ||||
\(664\) | −39.6086 | + | 134.894i | −0.0596515 | + | 0.203154i | ||||
\(665\) | 527.218 | − | 1075.26i | 0.792809 | − | 1.61693i | ||||
\(666\) | − | 699.334i | − | 1.05005i | ||||||
\(667\) | 13.5060 | + | 66.7549i | 0.0202489 | + | 0.100082i | ||||
\(668\) | − | 443.544i | − | 0.663988i | ||||||
\(669\) | 79.0634 | − | 173.125i | 0.118181 | − | 0.258781i | ||||
\(670\) | 567.455 | + | 183.696i | 0.846948 | + | 0.274173i | ||||
\(671\) | 536.659 | + | 619.337i | 0.799789 | + | 0.923006i | ||||
\(672\) | 52.8721 | − | 33.9789i | 0.0786788 | − | 0.0505638i | ||||
\(673\) | 402.361 | + | 348.648i | 0.597862 | + | 0.518050i | 0.900386 | − | 0.435091i | \(-0.143284\pi\) |
−0.302524 | + | 0.953142i | \(0.597829\pi\) | |||||||
\(674\) | −829.022 | − | 119.195i | −1.23000 | − | 0.176848i | ||||
\(675\) | 93.9820 | + | 400.210i | 0.139233 | + | 0.592904i | ||||
\(676\) | −277.363 | − | 178.250i | −0.410300 | − | 0.263684i | ||||
\(677\) | 98.7908 | + | 687.105i | 0.145924 | + | 1.01493i | 0.922802 | + | 0.385274i | \(0.125893\pi\) |
−0.776878 | + | 0.629652i | \(0.783198\pi\) | |||||||
\(678\) | 114.830 | + | 251.443i | 0.169366 | + | 0.370860i | ||||
\(679\) | 9.62722 | + | 21.0807i | 0.0141785 | + | 0.0310466i | ||||
\(680\) | −4.35904 | − | 37.6297i | −0.00641035 | − | 0.0553379i | ||||
\(681\) | −38.3984 | + | 59.7490i | −0.0563853 | + | 0.0877372i | ||||
\(682\) | −222.421 | + | 65.3086i | −0.326130 | + | 0.0957603i | ||||
\(683\) | 483.942 | + | 69.5804i | 0.708554 | + | 0.101875i | 0.487164 | − | 0.873311i | \(-0.338031\pi\) |
0.221390 | + | 0.975185i | \(0.428941\pi\) | |||||||
\(684\) | 253.347 | + | 219.527i | 0.370391 | + | 0.320946i | ||||
\(685\) | 15.9642 | + | 26.4088i | 0.0233054 | + | 0.0385529i | ||||
\(686\) | −432.138 | + | 374.449i | −0.629938 | + | 0.545844i | ||||
\(687\) | 218.792 | + | 64.2432i | 0.318475 | + | 0.0935127i | ||||
\(688\) | 23.4631 | − | 51.3770i | 0.0341034 | − | 0.0746759i | ||||
\(689\) | 56.3058i | 0.0817210i | ||||||||
\(690\) | 115.325 | − | 106.014i | 0.167138 | − | 0.153643i | ||||
\(691\) | 370.108 | 0.535613 | 0.267806 | − | 0.963473i | \(-0.413701\pi\) | ||||
0.267806 | + | 0.963473i | \(0.413701\pi\) | |||||||
\(692\) | 51.2423 | + | 23.4016i | 0.0740496 | + | 0.0338173i | ||||
\(693\) | −347.238 | + | 1182.58i | −0.501065 | + | 1.70647i | ||||
\(694\) | 250.366 | + | 288.937i | 0.360757 | + | 0.416336i | ||||
\(695\) | −464.078 | − | 767.699i | −0.667738 | − | 1.10460i | ||||
\(696\) | 5.28293 | − | 6.09682i | 0.00759041 | − | 0.00875980i | ||||
\(697\) | −22.5965 | + | 157.162i | −0.0324196 | + | 0.225484i | ||||
\(698\) | 170.005 | + | 578.985i | 0.243561 | + | 0.829492i | ||||
\(699\) | 227.096 | + | 145.946i | 0.324887 | + | 0.208792i | ||||
\(700\) | −50.6031 | − | 574.517i | −0.0722902 | − | 0.820739i | ||||
\(701\) | 78.2110 | − | 35.7178i | 0.111571 | − | 0.0509526i | −0.358848 | − | 0.933396i | \(-0.616830\pi\) |
0.470418 | + | 0.882444i | \(0.344103\pi\) | |||||||
\(702\) | −43.0894 | + | 19.6783i | −0.0613809 | + | 0.0280317i | ||||
\(703\) | 1259.06 | − | 181.025i | 1.79098 | − | 0.257503i | ||||
\(704\) | −57.2509 | + | 89.0842i | −0.0813223 | + | 0.126540i | ||||
\(705\) | 1.15556 | + | 4.37686i | 0.00163909 | + | 0.00620831i | ||||
\(706\) | −17.5443 | + | 122.023i | −0.0248503 | + | 0.172837i | ||||
\(707\) | −488.001 | + | 563.183i | −0.690242 | + | 0.796581i | ||||
\(708\) | 53.3870 | + | 83.0718i | 0.0754054 | + | 0.117333i | ||||
\(709\) | −11.4611 | + | 9.93114i | −0.0161652 | + | 0.0140072i | −0.662906 | − | 0.748703i | \(-0.730677\pi\) |
0.646741 | + | 0.762710i | \(0.276132\pi\) | |||||||
\(710\) | −814.773 | − | 263.758i | −1.14757 | − | 0.371490i | ||||
\(711\) | −841.140 | − | 384.136i | −1.18304 | − | 0.540275i | ||||
\(712\) | −20.7761 | −0.0291800 | ||||||||
\(713\) | 103.410 | − | 265.378i | 0.145036 | − | 0.372200i | ||||
\(714\) | 42.0873 | 0.0589458 | ||||||||
\(715\) | −121.048 | − | 59.3518i | −0.169297 | − | 0.0830096i | ||||
\(716\) | 444.165 | + | 130.419i | 0.620342 | + | 0.182149i | ||||
\(717\) | 120.886 | − | 104.748i | 0.168599 | − | 0.146092i | ||||
\(718\) | 403.718 | − | 259.454i | 0.562281 | − | 0.361356i | ||||
\(719\) | 453.404 | − | 523.256i | 0.630604 | − | 0.727756i | −0.347080 | − | 0.937835i | \(-0.612827\pi\) |
0.977684 | + | 0.210080i | \(0.0673723\pi\) | |||||||
\(720\) | 159.110 | + | 27.3571i | 0.220987 | + | 0.0379960i | ||||
\(721\) | 1291.55 | − | 379.234i | 1.79134 | − | 0.525984i | ||||
\(722\) | −53.6343 | + | 83.4566i | −0.0742857 | + | 0.115591i | ||||
\(723\) | 16.7707 | + | 116.643i | 0.0231960 | + | 0.161332i | ||||
\(724\) | 164.111 | − | 74.9472i | 0.226673 | − | 0.103518i | ||||
\(725\) | −27.0084 | − | 68.9272i | −0.0372530 | − | 0.0950720i | ||||
\(726\) | 10.5096 | + | 73.0957i | 0.0144760 | + | 0.100683i | ||||
\(727\) | −516.924 | − | 332.207i | −0.711037 | − | 0.456956i | 0.134472 | − | 0.990917i | \(-0.457066\pi\) |
−0.845509 | + | 0.533962i | \(0.820703\pi\) | |||||||
\(728\) | 63.7652 | − | 18.7231i | 0.0875895 | − | 0.0257186i | ||||
\(729\) | −44.9787 | + | 312.834i | −0.0616991 | + | 0.429127i | ||||
\(730\) | −79.1441 | − | 72.4795i | −0.108417 | − | 0.0992871i | ||||
\(731\) | 31.8186 | − | 20.4486i | 0.0435275 | − | 0.0279734i | ||||
\(732\) | 78.1013 | + | 90.1337i | 0.106696 | + | 0.123133i | ||||
\(733\) | −1013.29 | − | 297.530i | −1.38239 | − | 0.405907i | −0.495792 | − | 0.868441i | \(-0.665122\pi\) |
−0.886602 | + | 0.462534i | \(0.846940\pi\) | |||||||
\(734\) | 203.370 | + | 92.8758i | 0.277070 | + | 0.126534i | ||||
\(735\) | 404.641 | + | 11.1197i | 0.550532 | + | 0.0151289i | ||||
\(736\) | −43.6868 | − | 122.554i | −0.0593571 | − | 0.166513i | ||||
\(737\) | − | 1116.53i | − | 1.51497i | ||||||
\(738\) | −615.539 | − | 281.107i | −0.834064 | − | 0.380904i | ||||
\(739\) | 674.835 | + | 198.150i | 0.913174 | + | 0.268132i | 0.704376 | − | 0.709827i | \(-0.251227\pi\) |
0.208798 | + | 0.977959i | \(0.433045\pi\) | |||||||
\(740\) | 473.815 | − | 388.296i | 0.640291 | − | 0.524725i | ||||
\(741\) | −22.0253 | − | 34.2720i | −0.0297237 | − | 0.0462510i | ||||
\(742\) | 340.778 | + | 295.286i | 0.459270 | + | 0.397960i | ||||
\(743\) | 23.9271 | − | 166.417i | 0.0322034 | − | 0.223980i | −0.967364 | − | 0.253391i | \(-0.918454\pi\) |
0.999567 | + | 0.0294113i | \(0.00936324\pi\) | |||||||
\(744\) | −32.3694 | + | 9.50452i | −0.0435073 | + | 0.0127749i | ||||
\(745\) | 297.957 | + | 203.263i | 0.399943 | + | 0.272837i | ||||
\(746\) | 949.486 | − | 136.516i | 1.27277 | − | 0.182997i | ||||
\(747\) | −166.680 | − | 364.979i | −0.223133 | − | 0.488593i | ||||
\(748\) | −64.5045 | + | 29.4582i | −0.0862360 | + | 0.0393826i | ||||
\(749\) | −207.149 | − | 1440.75i | −0.276568 | − | 1.92357i | ||||
\(750\) | −103.535 | + | 135.176i | −0.138047 | + | 0.180234i | ||||
\(751\) | −112.109 | − | 381.808i | −0.149280 | − | 0.508399i | 0.850568 | − | 0.525865i | \(-0.176258\pi\) |
−0.999847 | + | 0.0174658i | \(0.994440\pi\) | |||||||
\(752\) | 3.72158 | + | 0.535083i | 0.00494892 | + | 0.000711547i | ||||
\(753\) | −299.703 | + | 345.875i | −0.398012 | + | 0.459330i | ||||
\(754\) | 7.17619 | − | 4.61186i | 0.00951750 | − | 0.00611652i | ||||
\(755\) | 293.926 | − | 240.876i | 0.389307 | − | 0.319041i | ||||
\(756\) | −106.877 | + | 363.989i | −0.141371 | + | 0.481466i | ||||
\(757\) | 509.116 | − | 1114.81i | 0.672544 | − | 1.47267i | −0.197810 | − | 0.980240i | \(-0.563383\pi\) |
0.870354 | − | 0.492426i | \(-0.163890\pi\) | |||||||
\(758\) | −457.626 | −0.603728 | ||||||||
\(759\) | −255.297 | − | 144.271i | −0.336359 | − | 0.190080i | ||||
\(760\) | −8.06655 | + | 293.538i | −0.0106139 | + | 0.386234i | ||||
\(761\) | 349.719 | − | 765.777i | 0.459552 | − | 1.00628i | −0.528038 | − | 0.849221i | \(-0.677072\pi\) |
0.987590 | − | 0.157057i | \(-0.0502006\pi\) | |||||||
\(762\) | −18.5072 | + | 63.0299i | −0.0242877 | + | 0.0827163i | ||||
\(763\) | 1274.89 | − | 1104.70i | 1.67089 | − | 1.44784i | ||||
\(764\) | 61.9757 | + | 96.4360i | 0.0811200 | + | 0.126225i | ||||
\(765\) | 79.7303 | + | 73.0164i | 0.104223 | + | 0.0954462i | ||||
\(766\) | 636.937 | + | 91.5777i | 0.831510 | + | 0.119553i | ||||
\(767\) | 29.4175 | + | 100.187i | 0.0383540 | + | 0.130622i | ||||
\(768\) | −8.33187 | + | 12.9646i | −0.0108488 | + | 0.0168810i | ||||
\(769\) | −353.920 | + | 50.8860i | −0.460234 | + | 0.0661716i | −0.368532 | − | 0.929615i | \(-0.620140\pi\) |
−0.0917013 | + | 0.995787i | \(0.529231\pi\) | |||||||
\(770\) | −994.027 | + | 421.353i | −1.29094 | + | 0.547211i | ||||
\(771\) | −94.7530 | − | 207.480i | −0.122896 | − | 0.269105i | ||||
\(772\) | −736.824 | + | 105.939i | −0.954435 | + | 0.137227i | ||||
\(773\) | 1031.55 | + | 662.936i | 1.33447 | + | 0.857615i | 0.996504 | − | 0.0835417i | \(-0.0266232\pi\) |
0.337971 | + | 0.941157i | \(0.390260\pi\) | |||||||
\(774\) | 45.4141 | + | 154.666i | 0.0586745 | + | 0.199827i | ||||
\(775\) | −60.8204 | + | 303.548i | −0.0784780 | + | 0.391675i | ||||
\(776\) | −4.29467 | − | 3.72136i | −0.00553437 | − | 0.00479556i | ||||
\(777\) | 367.967 | + | 572.567i | 0.473574 | + | 0.736895i | ||||
\(778\) | −586.639 | − | 677.017i | −0.754034 | − | 0.870202i | ||||
\(779\) | 346.761 | − | 1180.96i | 0.445136 | − | 1.51600i | ||||
\(780\) | −17.6164 | − | 8.63762i | −0.0225851 | − | 0.0110739i | ||||
\(781\) | 1603.16i | 2.05270i | ||||||||
\(782\) | 19.7588 | − | 84.8571i | 0.0252670 | − | 0.108513i | ||||
\(783\) | 48.6936i | 0.0621885i | ||||||||
\(784\) | 139.667 | − | 305.827i | 0.178146 | − | 0.390085i | ||||
\(785\) | 426.993 | − | 1319.03i | 0.543941 | − | 1.68029i | ||||
\(786\) | 32.6400 | + | 37.6686i | 0.0415268 | + | 0.0479244i | ||||
\(787\) | −366.190 | + | 235.336i | −0.465299 | + | 0.299029i | −0.752205 | − | 0.658929i | \(-0.771010\pi\) |
0.286906 | + | 0.957959i | \(0.407373\pi\) | |||||||
\(788\) | −355.727 | − | 308.239i | −0.451430 | − | 0.391167i | ||||
\(789\) | −380.425 | − | 54.6969i | −0.482161 | − | 0.0693243i | ||||
\(790\) | −206.771 | − | 783.178i | −0.261736 | − | 0.991365i | ||||
\(791\) | 1969.17 | + | 1265.51i | 2.48947 | + | 1.59989i | ||||
\(792\) | −43.0104 | − | 299.144i | −0.0543061 | − | 0.377707i | ||||
\(793\) | 52.3882 | + | 114.714i | 0.0660632 | + | 0.144658i | ||||
\(794\) | −358.958 | − | 786.009i | −0.452089 | − | 0.989936i | ||||
\(795\) | −15.3185 | − | 132.238i | −0.0192685 | − | 0.166337i | ||||
\(796\) | 364.729 | − | 567.530i | 0.458203 | − | 0.712977i | ||||
\(797\) | 273.837 | − | 80.4059i | 0.343585 | − | 0.100886i | −0.105387 | − | 0.994431i | \(-0.533608\pi\) |
0.448973 | + | 0.893546i | \(0.351790\pi\) | |||||||
\(798\) | −322.931 | − | 46.4305i | −0.404676 | − | 0.0581836i | ||||
\(799\) | 1.90283 | + | 1.64881i | 0.00238151 | + | 0.00206359i | ||||
\(800\) | 69.8089 | + | 122.991i | 0.0872612 | + | 0.153738i | ||||
\(801\) | 44.8118 | − | 38.8297i | 0.0559449 | − | 0.0484765i | ||||
\(802\) | 372.895 | + | 109.492i | 0.464957 | + | 0.136524i | ||||
\(803\) | −83.4549 | + | 182.741i | −0.103929 | + | 0.227573i | ||||
\(804\) | − | 162.492i | − | 0.202104i | ||||||
\(805\) | 336.202 | − | 1283.19i | 0.417643 | − | 1.59403i | ||||
\(806\) | −35.6726 | −0.0442588 | ||||||||
\(807\) | −336.937 | − | 153.874i | −0.417518 | − | 0.190674i | ||||
\(808\) | 51.4805 | − | 175.326i | 0.0637134 | − | 0.216988i | ||||
\(809\) | −85.4270 | − | 98.5880i | −0.105596 | − | 0.121864i | 0.700491 | − | 0.713661i | \(-0.252964\pi\) |
−0.806087 | + | 0.591797i | \(0.798419\pi\) | |||||||
\(810\) | −343.786 | + | 207.820i | −0.424427 | + | 0.256568i | ||||
\(811\) | −418.723 | + | 483.232i | −0.516304 | + | 0.595847i | −0.952702 | − | 0.303907i | \(-0.901709\pi\) |
0.436398 | + | 0.899754i | \(0.356254\pi\) | |||||||
\(812\) | 9.72206 | − | 67.6184i | 0.0119730 | − | 0.0832739i | ||||
\(813\) | 93.7902 | + | 319.420i | 0.115363 | + | 0.392891i | ||||
\(814\) | −964.717 | − | 619.986i | −1.18516 | − | 0.761654i | ||||
\(815\) | 96.7801 | + | 835.462i | 0.118749 | + | 1.02511i | ||||
\(816\) | −9.38750 | + | 4.28713i | −0.0115043 | + | 0.00525384i | ||||
\(817\) | −266.700 | + | 121.798i | −0.326438 | + | 0.149079i | ||||
\(818\) | −415.677 | + | 59.7654i | −0.508163 | + | 0.0730628i | ||||
\(819\) | −102.542 | + | 159.558i | −0.125204 | + | 0.194820i | ||||
\(820\) | −151.314 | − | 573.123i | −0.184529 | − | 0.698931i | ||||
\(821\) | −116.770 | + | 812.156i | −0.142230 | + | 0.989228i | 0.786267 | + | 0.617887i | \(0.212011\pi\) |
−0.928496 | + | 0.371341i | \(0.878898\pi\) | |||||||
\(822\) | 5.50541 | − | 6.35358i | 0.00669758 | − | 0.00772942i | ||||
\(823\) | −262.142 | − | 407.900i | −0.318519 | − | 0.495626i | 0.644666 | − | 0.764465i | \(-0.276997\pi\) |
−0.963185 | + | 0.268839i | \(0.913360\pi\) | |||||||
\(824\) | −249.449 | + | 216.149i | −0.302729 | + | 0.262317i | ||||
\(825\) | 300.436 | + | 106.460i | 0.364165 | + | 0.129042i | ||||
\(826\) | 760.633 | + | 347.370i | 0.920863 | + | 0.420544i | ||||
\(827\) | 992.357 | 1.19995 | 0.599974 | − | 0.800019i | \(-0.295178\pi\) | ||||
0.599974 | + | 0.800019i | \(0.295178\pi\) | |||||||
\(828\) | 323.276 | + | 182.686i | 0.390429 | + | 0.220636i | ||||
\(829\) | 476.824 | 0.575180 | 0.287590 | − | 0.957754i | \(-0.407146\pi\) | ||||
0.287590 | + | 0.957754i | \(0.407146\pi\) | |||||||
\(830\) | 154.735 | − | 315.580i | 0.186427 | − | 0.380217i | ||||
\(831\) | 47.3356 | + | 13.8990i | 0.0569622 | + | 0.0167256i | ||||
\(832\) | −12.3155 | + | 10.6715i | −0.0148023 | + | 0.0128263i | ||||
\(833\) | 189.403 | − | 121.722i | 0.227375 | − | 0.146125i | ||||
\(834\) | −160.042 | + | 184.698i | −0.191896 | + | 0.221460i | ||||
\(835\) | −187.898 | + | 1092.82i | −0.225028 | + | 1.30877i | ||||
\(836\) | 527.435 | − | 154.869i | 0.630903 | − | 0.185250i | ||||
\(837\) | 110.090 | − | 171.303i | 0.131529 | − | 0.204664i | ||||
\(838\) | 152.348 | + | 1059.61i | 0.181800 | + | 1.26445i | ||||
\(839\) | 21.9977 | − | 10.0460i | 0.0262190 | − | 0.0119738i | −0.402262 | − | 0.915524i | \(-0.631776\pi\) |
0.428481 | + | 0.903551i | \(0.359049\pi\) | |||||||
\(840\) | −144.663 | + | 61.3205i | −0.172218 | + | 0.0730006i | ||||
\(841\) | 118.439 | + | 823.760i | 0.140831 | + | 0.979501i | ||||
\(842\) | 96.3981 | + | 61.9513i | 0.114487 | + | 0.0735763i | ||||
\(843\) | −267.895 | + | 78.6611i | −0.317788 | + | 0.0933109i | ||||
\(844\) | 33.4439 | − | 232.607i | 0.0396255 | − | 0.275601i | ||||
\(845\) | 607.867 | + | 556.680i | 0.719369 | + | 0.658792i | ||||
\(846\) | −9.02709 | + | 5.80136i | −0.0106703 | + | 0.00685740i | ||||
\(847\) | 409.512 | + | 472.602i | 0.483485 | + | 0.557972i | ||||
\(848\) | −106.089 | − | 31.1505i | −0.125105 | − | 0.0367341i | ||||
\(849\) | −426.792 | − | 194.909i | −0.502699 | − | 0.229575i | ||||
\(850\) | −5.20105 | + | 94.5605i | −0.00611889 | + | 0.111248i | ||||
\(851\) | 1327.17 | − | 473.097i | 1.55954 | − | 0.555931i | ||||
\(852\) | 233.311i | 0.273840i | ||||||||
\(853\) | 598.710 | + | 273.422i | 0.701888 | + | 0.320541i | 0.734197 | − | 0.678937i | \(-0.237559\pi\) |
−0.0323093 | + | 0.999478i | \(0.510286\pi\) | |||||||
\(854\) | 969.022 | + | 284.531i | 1.13469 | + | 0.333174i | ||||
\(855\) | −531.211 | − | 648.205i | −0.621300 | − | 0.758135i | ||||
\(856\) | 192.964 | + | 300.257i | 0.225425 | + | 0.350768i | ||||
\(857\) | −368.524 | − | 319.328i | −0.430016 | − | 0.372611i | 0.412792 | − | 0.910825i | \(-0.364554\pi\) |
−0.842808 | + | 0.538214i | \(0.819099\pi\) | |||||||
\(858\) | −5.22694 | + | 36.3542i | −0.00609201 | + | 0.0423708i | ||||
\(859\) | 1343.86 | − | 394.594i | 1.56445 | − | 0.459364i | 0.619071 | − | 0.785335i | \(-0.287509\pi\) |
0.945380 | + | 0.325971i | \(0.105691\pi\) | |||||||
\(860\) | −79.5743 | + | 116.645i | −0.0925283 | + | 0.135634i | ||||
\(861\) | 651.871 | − | 93.7250i | 0.757110 | − | 0.108856i | ||||
\(862\) | −211.592 | − | 463.322i | −0.245466 | − | 0.537496i | ||||
\(863\) | 1554.81 | − | 710.057i | 1.80163 | − | 0.822777i | 0.843118 | − | 0.537728i | \(-0.180717\pi\) |
0.958513 | − | 0.285049i | \(-0.0920098\pi\) | |||||||
\(864\) | −13.2382 | − | 92.0739i | −0.0153220 | − | 0.106567i | ||||
\(865\) | −116.340 | − | 79.3656i | −0.134497 | − | 0.0917521i | ||||
\(866\) | −253.921 | − | 864.774i | −0.293211 | − | 0.998584i | ||||
\(867\) | 268.689 | + | 38.6317i | 0.309907 | + | 0.0445579i | ||||
\(868\) | −187.079 | + | 215.901i | −0.215529 | + | 0.248733i | ||||
\(869\) | −1275.61 | + | 819.785i | −1.46791 | + | 0.943366i | ||||
\(870\) | −15.5991 | + | 12.7836i | −0.0179300 | + | 0.0146938i | ||||
\(871\) | 48.4071 | − | 164.860i | 0.0555765 | − | 0.189276i | ||||
\(872\) | −171.835 | + | 376.266i | −0.197058 | + | 0.431497i | ||||
\(873\) | 16.2182 | 0.0185775 | ||||||||
\(874\) | −245.221 | + | 629.303i | −0.280573 | + | 0.720026i | ||||
\(875\) | −118.704 | + | 1436.96i | −0.135662 | + | 1.64224i | ||||
\(876\) | −12.1454 | + | 26.5947i | −0.0138646 | + | 0.0303593i | ||||
\(877\) | 33.3078 | − | 113.436i | 0.0379792 | − | 0.129345i | −0.938321 | − | 0.345765i | \(-0.887620\pi\) |
0.976301 | + | 0.216419i | \(0.0694378\pi\) | |||||||
\(878\) | 214.397 | − | 185.776i | 0.244188 | − | 0.211590i | ||||
\(879\) | 30.2060 | + | 47.0015i | 0.0343641 | + | 0.0534716i | ||||
\(880\) | 178.796 | − | 195.237i | 0.203177 | − | 0.221860i | ||||
\(881\) | −1495.01 | − | 214.949i | −1.69694 | − | 0.243983i | −0.775180 | − | 0.631740i | \(-0.782341\pi\) |
−0.921762 | + | 0.387757i | \(0.873250\pi\) | |||||||
\(882\) | 270.332 | + | 920.666i | 0.306499 | + | 1.04384i | ||||
\(883\) | −105.724 | + | 164.510i | −0.119733 | + | 0.186308i | −0.895947 | − | 0.444162i | \(-0.853501\pi\) |
0.776214 | + | 0.630470i | \(0.217138\pi\) | |||||||
\(884\) | −10.8015 | + | 1.55302i | −0.0122189 | + | 0.00175681i | ||||
\(885\) | −96.3458 | − | 227.293i | −0.108865 | − | 0.256828i | ||||
\(886\) | −139.613 | − | 305.711i | −0.157577 | − | 0.345046i | ||||
\(887\) | −1110.17 | + | 159.619i | −1.25161 | + | 0.179954i | −0.736065 | − | 0.676911i | \(-0.763318\pi\) |
−0.515541 | + | 0.856865i | \(0.672409\pi\) | |||||||
\(888\) | −140.398 | − | 90.2282i | −0.158106 | − | 0.101608i | ||||
\(889\) | 156.720 | + | 533.739i | 0.176288 | + | 0.600381i | ||||
\(890\) | 51.1892 | + | 8.80137i | 0.0575160 | + | 0.00988918i | ||||
\(891\) | 568.328 | + | 492.459i | 0.637854 | + | 0.552704i | ||||
\(892\) | 213.658 | + | 332.458i | 0.239526 | + | 0.372710i | ||||
\(893\) | −12.7813 | − | 14.7504i | −0.0143127 | − | 0.0165178i | ||||
\(894\) | 27.6838 | − | 94.2822i | 0.0309662 | − | 0.105461i | ||||
\(895\) | −1039.11 | − | 509.493i | −1.16101 | − | 0.569266i | ||||
\(896\) | 130.502i | 0.145649i | ||||||||
\(897\) | −31.4406 | − | 32.3705i | −0.0350508 | − | 0.0360875i | ||||
\(898\) | − | 811.620i | − | 0.903808i | ||||||
\(899\) | −15.2329 | + | 33.3555i | −0.0169443 | + | 0.0371029i | ||||
\(900\) | −380.434 | − | 134.808i | −0.422705 | − | 0.149786i | ||||
\(901\) | −48.4872 | − | 55.9573i | −0.0538149 | − | 0.0621057i | ||||
\(902\) | −933.481 | + | 599.912i | −1.03490 | + | 0.665091i | ||||
\(903\) | −118.562 | − | 102.735i | −0.131298 | − | 0.113771i | ||||
\(904\) | −568.130 | − | 81.6847i | −0.628462 | − | 0.0903592i | ||||
\(905\) | −436.095 | + | 115.136i | −0.481873 | + | 0.127222i | ||||
\(906\) | −87.0944 | − | 55.9721i | −0.0961306 | − | 0.0617794i | ||||
\(907\) | −117.858 | − | 819.718i | −0.129942 | − | 0.903769i | −0.945623 | − | 0.325266i | \(-0.894546\pi\) |
0.815680 | − | 0.578503i | \(-0.196363\pi\) | |||||||
\(908\) | −61.2636 | − | 134.149i | −0.0674709 | − | 0.147741i | ||||
\(909\) | 216.639 | + | 474.374i | 0.238327 | + | 0.521864i | ||||
\(910\) | −165.039 | + | 19.1182i | −0.181362 | + | 0.0210090i | ||||
\(911\) | −365.295 | + | 568.410i | −0.400983 | + | 0.623941i | −0.981761 | − | 0.190121i | \(-0.939112\pi\) |
0.580778 | + | 0.814062i | \(0.302748\pi\) | |||||||
\(912\) | 76.7589 | − | 22.5385i | 0.0841655 | − | 0.0247132i | ||||
\(913\) | −651.250 | − | 93.6356i | −0.713308 | − | 0.102558i | ||||
\(914\) | 5.77343 | + | 5.00271i | 0.00631667 | + | 0.00547342i | ||||
\(915\) | −154.246 | − | 255.162i | −0.168575 | − | 0.278865i | ||||
\(916\) | −357.836 | + | 310.067i | −0.390651 | + | 0.338501i | ||||
\(917\) | 404.973 | + | 118.911i | 0.441628 | + | 0.129674i | ||||
\(918\) | 25.8769 | − | 56.6626i | 0.0281884 | − | 0.0617239i | ||||
\(919\) | − | 296.952i | − | 0.323125i | −0.986863 | − | 0.161562i | \(-0.948347\pi\) | ||
0.986863 | − | 0.161562i | \(-0.0516533\pi\) | |||||||
\(920\) | 55.7203 | + | 320.461i | 0.0605655 | + | 0.348327i | ||||
\(921\) | 555.626 | 0.603286 | ||||||||
\(922\) | 951.054 | + | 434.332i | 1.03151 | + | 0.471075i | ||||
\(923\) | −69.5048 | + | 236.712i | −0.0753031 | + | 0.256459i | ||||
\(924\) | 192.614 | + | 222.288i | 0.208457 | + | 0.240572i | ||||
\(925\) | −1331.90 | + | 755.981i | −1.43989 | + | 0.817276i | ||||
\(926\) | 221.165 | − | 255.238i | 0.238839 | − | 0.275635i | ||||
\(927\) | 134.062 | − | 932.419i | 0.144619 | − | 1.00585i | ||||
\(928\) | 4.71931 | + | 16.0725i | 0.00508547 | + | 0.0173195i | ||||
\(929\) | −847.910 | − | 544.918i | −0.912712 | − | 0.586564i | −0.00217766 | − | 0.999998i | \(-0.500693\pi\) |
−0.910534 | + | 0.413433i | \(0.864330\pi\) | |||||||
\(930\) | 83.7797 | − | 9.70505i | 0.0900857 | − | 0.0104355i | ||||
\(931\) | −1587.56 | + | 725.013i | −1.70522 | + | 0.778746i | ||||
\(932\) | −509.876 | + | 232.853i | −0.547077 | + | 0.249842i | ||||
\(933\) | 174.405 | − | 25.0757i | 0.186929 | − | 0.0268764i | ||||
\(934\) | −490.836 | + | 763.756i | −0.525521 | + | 0.817726i | ||||
\(935\) | 171.409 | − | 45.2546i | 0.183325 | − | 0.0484006i | ||||
\(936\) | 6.61874 | − | 46.0344i | 0.00707131 | − | 0.0491820i | ||||
\(937\) | 584.869 | − | 674.975i | 0.624193 | − | 0.720357i | −0.352305 | − | 0.935885i | \(-0.614602\pi\) |
0.976498 | + | 0.215528i | \(0.0691473\pi\) | |||||||
\(938\) | −743.913 | − | 1157.55i | −0.793084 | − | 1.23406i | ||||
\(939\) | −106.398 | + | 92.1946i | −0.113310 | + | 0.0981838i | ||||
\(940\) | −8.94273 | − | 2.89493i | −0.00951355 | − | 0.00307972i | ||||
\(941\) | 500.014 | + | 228.349i | 0.531364 | + | 0.242666i | 0.662983 | − | 0.748635i | \(-0.269290\pi\) |
−0.131619 | + | 0.991300i | \(0.542017\pi\) | |||||||
\(942\) | −377.705 | −0.400960 | ||||||||
\(943\) | 117.065 | − | 1358.32i | 0.124141 | − | 1.44042i | ||||
\(944\) | −205.042 | −0.217206 | ||||||||
\(945\) | 417.524 | − | 851.536i | 0.441824 | − | 0.901096i | ||||
\(946\) | 253.620 | + | 74.4696i | 0.268097 | + | 0.0787205i | ||||
\(947\) | −801.102 | + | 694.159i | −0.845937 | + | 0.733009i | −0.965663 | − | 0.259798i | \(-0.916344\pi\) |
0.119726 | + | 0.992807i | \(0.461798\pi\) | |||||||
\(948\) | −185.643 | + | 119.305i | −0.195826 | + | 0.125850i | ||||
\(949\) | −20.2451 | + | 23.3641i | −0.0213331 | + | 0.0246197i | ||||
\(950\) | 144.226 | − | 719.816i | 0.151817 | − | 0.757701i | ||||
\(951\) | −305.358 | + | 89.6611i | −0.321091 | + | 0.0942809i | ||||
\(952\) | −47.2472 | + | 73.5181i | −0.0496294 | + | 0.0772248i | ||||
\(953\) | −119.925 | − | 834.100i | −0.125840 | − | 0.875236i | −0.950747 | − | 0.309968i | \(-0.899682\pi\) |
0.824907 | − | 0.565268i | \(-0.191227\pi\) | |||||||
\(954\) | 287.041 | − | 131.087i | 0.300881 | − | 0.137408i | ||||
\(955\) | −111.845 | − | 263.858i | −0.117116 | − | 0.276291i | ||||
\(956\) | 47.2676 | + | 328.754i | 0.0494431 | + | 0.343885i | ||||
\(957\) | 31.7608 | + | 20.4114i | 0.0331878 | + | 0.0213285i | ||||
\(958\) | −931.424 | + | 273.491i | −0.972259 | + | 0.285481i | ||||
\(959\) | 10.1315 | − | 70.4661i | 0.0105647 | − | 0.0734788i | ||||
\(960\) | 26.0206 | − | 28.4133i | 0.0271048 | − | 0.0295972i | ||||
\(961\) | −679.443 | + | 436.651i | −0.707016 | + | 0.454372i | ||||
\(962\) | −115.564 | − | 133.368i | −0.120129 | − | 0.138637i | ||||
\(963\) | −977.369 | − | 286.982i | −1.01492 | − | 0.298008i | ||||
\(964\) | −222.578 | − | 101.648i | −0.230890 | − | 0.105444i | ||||
\(965\) | 1860.30 | + | 51.1218i | 1.92777 | + | 0.0529760i | ||||
\(966\) | −360.800 | + | 20.5257i | −0.373499 | + | 0.0212481i | ||||
\(967\) | 511.173i | 0.528618i | 0.964438 | + | 0.264309i | \(0.0851438\pi\) | ||||
−0.964438 | + | 0.264309i | \(0.914856\pi\) | |||||||
\(968\) | −139.482 | − | 63.6991i | −0.144093 | − | 0.0658049i | ||||
\(969\) | 51.4020 | + | 15.0930i | 0.0530464 | + | 0.0155758i | ||||
\(970\) | 9.00494 | + | 10.9882i | 0.00928345 | + | 0.0113280i | ||||
\(971\) | −209.809 | − | 326.470i | −0.216076 | − | 0.336220i | 0.716248 | − | 0.697846i | \(-0.245858\pi\) |
−0.932323 | + | 0.361626i | \(0.882222\pi\) | |||||||
\(972\) | 306.405 | + | 265.501i | 0.315231 | + | 0.273149i | ||||
\(973\) | −294.521 | + | 2048.44i | −0.302694 | + | 2.10528i | ||||
\(974\) | −104.706 | + | 30.7443i | −0.107501 | + | 0.0315650i | ||||
\(975\) | 39.7448 | + | 28.7446i | 0.0407639 | + | 0.0294816i | ||||
\(976\) | −245.122 | + | 35.2432i | −0.251150 | + | 0.0361099i | ||||
\(977\) | −443.525 | − | 971.185i | −0.453966 | − | 0.994048i | −0.988822 | − | 0.149104i | \(-0.952361\pi\) |
0.534855 | − | 0.844944i | \(-0.320366\pi\) | |||||||
\(978\) | 208.423 | − | 95.1836i | 0.213111 | − | 0.0973247i | ||||
\(979\) | −13.8374 | − | 96.2410i | −0.0141342 | − | 0.0983054i | ||||
\(980\) | −473.674 | + | 694.344i | −0.483341 | + | 0.708514i | ||||
\(981\) | −332.595 | − | 1132.71i | −0.339037 | − | 1.15465i | ||||
\(982\) | 129.766 | + | 18.6575i | 0.132145 | + | 0.0189995i | ||||
\(983\) | −639.312 | + | 737.805i | −0.650368 | + | 0.750565i | −0.981172 | − | 0.193135i | \(-0.938135\pi\) |
0.330804 | + | 0.943699i | \(0.392680\pi\) | |||||||
\(984\) | −135.852 | + | 87.3067i | −0.138061 | + | 0.0887263i | ||||
\(985\) | 745.878 | + | 910.151i | 0.757237 | + | 0.924011i | ||||
\(986\) | −3.16031 | + | 10.7630i | −0.00320518 | + | 0.0109158i | ||||
\(987\) | 4.33829 | − | 9.49952i | 0.00439543 | − | 0.00962464i | ||||
\(988\) | 84.5919 | 0.0856193 | ||||||||
\(989\) | −262.797 | + | 190.816i | −0.265720 | + | 0.192939i | ||||
\(990\) | −20.7550 | + | 755.266i | −0.0209647 | + | 0.762895i | ||||
\(991\) | 456.363 | − | 999.296i | 0.460508 | − | 1.00837i | −0.526864 | − | 0.849950i | \(-0.676632\pi\) |
0.987372 | − | 0.158422i | \(-0.0506406\pi\) | |||||||
\(992\) | 19.7354 | − | 67.2127i | 0.0198946 | − | 0.0677547i | ||||
\(993\) | −337.757 | + | 292.668i | −0.340138 | + | 0.294731i | ||||
\(994\) | 1068.14 | + | 1662.06i | 1.07459 | + | 1.67209i | ||||
\(995\) | −1139.06 | + | 1243.80i | −1.14478 | + | 1.25005i | ||||
\(996\) | −94.7780 | − | 13.6270i | −0.0951587 | − | 0.0136818i | ||||
\(997\) | 202.581 | + | 689.927i | 0.203190 | + | 0.692003i | 0.996531 | + | 0.0832246i | \(0.0265219\pi\) |
−0.793340 | + | 0.608778i | \(0.791660\pi\) | |||||||
\(998\) | 350.913 | − | 546.031i | 0.351616 | − | 0.547125i | ||||
\(999\) | 997.094 | − | 143.360i | 0.998092 | − | 0.143504i |
(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 | 230.3.i.a.109.7 | yes | 240 | |
5.4 | even | 2 | inner | 230.3.i.a.109.18 | yes | 240 | |
23.19 | odd | 22 | inner | 230.3.i.a.19.18 | yes | 240 | |
115.19 | odd | 22 | inner | 230.3.i.a.19.7 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.i.a.19.7 | ✓ | 240 | 115.19 | odd | 22 | inner | |
230.3.i.a.19.18 | yes | 240 | 23.19 | odd | 22 | inner | |
230.3.i.a.109.7 | yes | 240 | 1.1 | even | 1 | trivial | |
230.3.i.a.109.18 | yes | 240 | 5.4 | even | 2 | inner |