Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(22,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 24]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.ba (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 22.11 | ||
Character | \(\chi\) | \(=\) | 441.22 |
Dual form | 441.2.ba.a.421.11 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{7}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.53495 | − | 1.04651i | −1.08537 | − | 0.739994i | −0.117913 | − | 0.993024i | \(-0.537620\pi\) |
−0.967458 | + | 0.253030i | \(0.918573\pi\) | |||||||
\(3\) | 1.72901 | − | 0.102560i | 0.998245 | − | 0.0592132i | ||||
\(4\) | 0.530198 | + | 1.35092i | 0.265099 | + | 0.675462i | ||||
\(5\) | −0.256118 | − | 0.237642i | −0.114539 | − | 0.106277i | 0.620824 | − | 0.783950i | \(-0.286798\pi\) |
−0.735363 | + | 0.677673i | \(0.762989\pi\) | |||||||
\(6\) | −2.76127 | − | 1.65200i | −1.12728 | − | 0.674427i | ||||
\(7\) | −0.648127 | − | 2.56514i | −0.244969 | − | 0.969531i | ||||
\(8\) | −0.226850 | + | 0.993895i | −0.0802036 | + | 0.351395i | ||||
\(9\) | 2.97896 | − | 0.354656i | 0.992988 | − | 0.118219i | ||||
\(10\) | 0.144432 | + | 0.632798i | 0.0456734 | + | 0.200108i | ||||
\(11\) | 1.30285 | + | 0.888265i | 0.392823 | + | 0.267822i | 0.743583 | − | 0.668643i | \(-0.233125\pi\) |
−0.350761 | + | 0.936465i | \(0.614077\pi\) | |||||||
\(12\) | 1.05527 | + | 2.28139i | 0.304630 | + | 0.658579i | ||||
\(13\) | 0.356859 | − | 4.76195i | 0.0989749 | − | 1.32073i | −0.697730 | − | 0.716360i | \(-0.745807\pi\) |
0.796705 | − | 0.604368i | \(-0.206574\pi\) | |||||||
\(14\) | −1.68960 | + | 4.61562i | −0.451564 | + | 1.23358i | ||||
\(15\) | −0.467203 | − | 0.384619i | −0.120631 | − | 0.0993082i | ||||
\(16\) | 3.51600 | − | 3.26237i | 0.878999 | − | 0.815592i | ||||
\(17\) | −1.86232 | − | 2.33527i | −0.451678 | − | 0.566386i | 0.502901 | − | 0.864344i | \(-0.332266\pi\) |
−0.954579 | + | 0.297958i | \(0.903695\pi\) | |||||||
\(18\) | −4.94370 | − | 2.57313i | −1.16524 | − | 0.606493i | ||||
\(19\) | −5.72422 | −1.31323 | −0.656613 | − | 0.754227i | \(-0.728012\pi\) | ||||
−0.656613 | + | 0.754227i | \(0.728012\pi\) | |||||||
\(20\) | 0.185244 | − | 0.471993i | 0.0414217 | − | 0.105541i | ||||
\(21\) | −1.38370 | − | 4.36868i | −0.301948 | − | 0.953324i | ||||
\(22\) | −1.07022 | − | 2.72688i | −0.228172 | − | 0.581373i | ||||
\(23\) | 2.98577 | + | 7.60762i | 0.622576 | + | 1.58630i | 0.798567 | + | 0.601906i | \(0.205592\pi\) |
−0.175991 | + | 0.984392i | \(0.556313\pi\) | |||||||
\(24\) | −0.290292 | + | 1.74172i | −0.0592557 | + | 0.355528i | ||||
\(25\) | −0.364528 | − | 4.86429i | −0.0729056 | − | 0.972858i | ||||
\(26\) | −5.53119 | + | 6.93589i | −1.08476 | + | 1.36024i | ||||
\(27\) | 5.11429 | − | 0.918728i | 0.984245 | − | 0.176809i | ||||
\(28\) | 3.12167 | − | 2.23560i | 0.589940 | − | 0.422489i | ||||
\(29\) | 3.21861 | − | 8.20088i | 0.597680 | − | 1.52286i | −0.236647 | − | 0.971596i | \(-0.576049\pi\) |
0.834328 | − | 0.551269i | \(-0.185856\pi\) | |||||||
\(30\) | 0.314624 | + | 1.07930i | 0.0574423 | + | 0.197053i | ||||
\(31\) | 2.12386 | − | 3.67864i | 0.381457 | − | 0.660704i | −0.609813 | − | 0.792545i | \(-0.708756\pi\) |
0.991271 | + | 0.131841i | \(0.0420890\pi\) | |||||||
\(32\) | −6.79482 | + | 1.02416i | −1.20117 | + | 0.181047i | ||||
\(33\) | 2.34374 | + | 1.40220i | 0.407992 | + | 0.244092i | ||||
\(34\) | 0.414674 | + | 5.53344i | 0.0711161 | + | 0.948978i | ||||
\(35\) | −0.443589 | + | 0.810999i | −0.0749802 | + | 0.137084i | ||||
\(36\) | 2.05855 | + | 3.83631i | 0.343092 | + | 0.639386i | ||||
\(37\) | 4.53571 | + | 5.68760i | 0.745666 | + | 0.935036i | 0.999481 | − | 0.0322171i | \(-0.0102568\pi\) |
−0.253815 | + | 0.967253i | \(0.581685\pi\) | |||||||
\(38\) | 8.78638 | + | 5.99045i | 1.42534 | + | 0.971779i | ||||
\(39\) | 0.128626 | − | 8.27007i | 0.0205967 | − | 1.32427i | ||||
\(40\) | 0.294292 | − | 0.200645i | 0.0465316 | − | 0.0317247i | ||||
\(41\) | −6.84695 | − | 6.35304i | −1.06931 | − | 0.992178i | −0.0693279 | − | 0.997594i | \(-0.522085\pi\) |
−0.999985 | + | 0.00541625i | \(0.998276\pi\) | |||||||
\(42\) | −2.44796 | + | 8.15375i | −0.377728 | + | 1.25815i | ||||
\(43\) | −0.113390 | + | 0.105211i | −0.0172919 | + | 0.0160445i | −0.688771 | − | 0.724979i | \(-0.741850\pi\) |
0.671479 | + | 0.741023i | \(0.265659\pi\) | |||||||
\(44\) | −0.509212 | + | 2.23100i | −0.0767665 | + | 0.336336i | ||||
\(45\) | −0.847246 | − | 0.617094i | −0.126300 | − | 0.0919910i | ||||
\(46\) | 3.37844 | − | 14.8019i | 0.498124 | − | 2.18242i | ||||
\(47\) | −1.35238 | − | 0.922039i | −0.197265 | − | 0.134493i | 0.460659 | − | 0.887577i | \(-0.347613\pi\) |
−0.657925 | + | 0.753084i | \(0.728565\pi\) | |||||||
\(48\) | 5.74461 | − | 6.00127i | 0.829163 | − | 0.866209i | ||||
\(49\) | −6.15986 | + | 3.32507i | −0.879980 | + | 0.475010i | ||||
\(50\) | −4.53099 | + | 7.84791i | −0.640779 | + | 1.10986i | ||||
\(51\) | −3.45947 | − | 3.84671i | −0.484423 | − | 0.538647i | ||||
\(52\) | 6.62224 | − | 2.04269i | 0.918340 | − | 0.283270i | ||||
\(53\) | −7.90842 | + | 9.91685i | −1.08631 | + | 1.36218i | −0.159259 | + | 0.987237i | \(0.550911\pi\) |
−0.927046 | + | 0.374947i | \(0.877661\pi\) | |||||||
\(54\) | −8.81162 | − | 3.94195i | −1.19911 | − | 0.536431i | ||||
\(55\) | −0.122592 | − | 0.537111i | −0.0165303 | − | 0.0724241i | ||||
\(56\) | 2.69651 | − | 0.0622684i | 0.360336 | − | 0.00832097i | ||||
\(57\) | −9.89725 | + | 0.587078i | −1.31092 | + | 0.0777604i | ||||
\(58\) | −13.5227 | + | 9.21961i | −1.77561 | + | 1.21059i | ||||
\(59\) | −2.05113 | − | 0.632691i | −0.267035 | − | 0.0823694i | 0.158346 | − | 0.987384i | \(-0.449384\pi\) |
−0.425381 | + | 0.905014i | \(0.639860\pi\) | |||||||
\(60\) | 0.271881 | − | 0.835080i | 0.0350996 | − | 0.107808i | ||||
\(61\) | −1.30334 | + | 3.32086i | −0.166876 | + | 0.425193i | −0.989710 | − | 0.143089i | \(-0.954297\pi\) |
0.822834 | + | 0.568282i | \(0.192392\pi\) | |||||||
\(62\) | −7.10975 | + | 3.42388i | −0.902939 | + | 0.434833i | ||||
\(63\) | −2.84049 | − | 7.41159i | −0.357868 | − | 0.933772i | ||||
\(64\) | 2.85870 | + | 1.37668i | 0.357338 | + | 0.172085i | ||||
\(65\) | −1.22304 | + | 1.13482i | −0.151699 | + | 0.140756i | ||||
\(66\) | −2.13009 | − | 4.60504i | −0.262196 | − | 0.566842i | ||||
\(67\) | 6.30825 | − | 10.9262i | 0.770676 | − | 1.33485i | −0.166517 | − | 0.986039i | \(-0.553252\pi\) |
0.937193 | − | 0.348811i | \(-0.113415\pi\) | |||||||
\(68\) | 2.16737 | − | 3.75400i | 0.262833 | − | 0.455240i | ||||
\(69\) | 5.94267 | + | 12.8474i | 0.715413 | + | 1.54665i | ||||
\(70\) | 1.52960 | − | 0.780621i | 0.182823 | − | 0.0933020i | ||||
\(71\) | 0.856514 | − | 1.07403i | 0.101650 | − | 0.127464i | −0.728405 | − | 0.685147i | \(-0.759738\pi\) |
0.830054 | + | 0.557683i | \(0.188309\pi\) | |||||||
\(72\) | −0.323287 | + | 3.04123i | −0.0380998 | + | 0.358412i | ||||
\(73\) | 10.1905 | + | 4.90747i | 1.19270 | + | 0.574376i | 0.921588 | − | 0.388170i | \(-0.126893\pi\) |
0.271117 | + | 0.962546i | \(0.412607\pi\) | |||||||
\(74\) | −1.00995 | − | 13.4768i | −0.117404 | − | 1.56665i | ||||
\(75\) | −1.12916 | − | 8.37303i | −0.130384 | − | 0.966834i | ||||
\(76\) | −3.03497 | − | 7.73299i | −0.348135 | − | 0.887034i | ||||
\(77\) | 1.43411 | − | 3.91769i | 0.163432 | − | 0.446462i | ||||
\(78\) | −8.85214 | + | 12.5595i | −1.00231 | + | 1.42209i | ||||
\(79\) | 3.81292 | + | 6.60417i | 0.428987 | + | 0.743028i | 0.996783 | − | 0.0801415i | \(-0.0255372\pi\) |
−0.567796 | + | 0.823169i | \(0.692204\pi\) | |||||||
\(80\) | −1.67578 | −0.187358 | ||||||||
\(81\) | 8.74844 | − | 2.11301i | 0.972049 | − | 0.234779i | ||||
\(82\) | 3.86119 | + | 16.9170i | 0.426397 | + | 1.86817i | ||||
\(83\) | 0.0253718 | + | 0.338563i | 0.00278492 | + | 0.0371621i | 0.998423 | − | 0.0561361i | \(-0.0178781\pi\) |
−0.995638 | + | 0.0932982i | \(0.970259\pi\) | |||||||
\(84\) | 5.16812 | − | 4.18554i | 0.563888 | − | 0.456680i | ||||
\(85\) | −0.0779873 | + | 1.04067i | −0.00845891 | + | 0.112876i | ||||
\(86\) | 0.284152 | − | 0.0428291i | 0.0306409 | − | 0.00461838i | ||||
\(87\) | 4.72392 | − | 14.5095i | 0.506458 | − | 1.55558i | ||||
\(88\) | −1.17839 | + | 1.09339i | −0.125617 | + | 0.116556i | ||||
\(89\) | 3.55325 | + | 1.71116i | 0.376644 | + | 0.181382i | 0.612622 | − | 0.790376i | \(-0.290115\pi\) |
−0.235978 | + | 0.971758i | \(0.575829\pi\) | |||||||
\(90\) | 0.654683 | + | 1.83386i | 0.0690096 | + | 0.193305i | ||||
\(91\) | −12.4464 | + | 2.17096i | −1.30473 | + | 0.227578i | ||||
\(92\) | −8.69426 | + | 8.06709i | −0.906439 | + | 0.841053i | ||||
\(93\) | 3.29490 | − | 6.57824i | 0.341666 | − | 0.682132i | ||||
\(94\) | 1.11091 | + | 2.83056i | 0.114582 | + | 0.291950i | ||||
\(95\) | 1.46607 | + | 1.36032i | 0.150416 | + | 0.139566i | ||||
\(96\) | −11.6433 | + | 2.46766i | −1.18834 | + | 0.251854i | ||||
\(97\) | 3.25149 | + | 5.63175i | 0.330139 | + | 0.571818i | 0.982539 | − | 0.186057i | \(-0.0595710\pi\) |
−0.652400 | + | 0.757875i | \(0.726238\pi\) | |||||||
\(98\) | 12.9348 | + | 1.34255i | 1.30661 | + | 0.135618i | ||||
\(99\) | 4.19616 | + | 2.18405i | 0.421730 | + | 0.219505i | ||||
\(100\) | 6.37801 | − | 3.07149i | 0.637801 | − | 0.307149i | ||||
\(101\) | 17.5878 | − | 5.42513i | 1.75006 | − | 0.539821i | 0.756584 | − | 0.653897i | \(-0.226867\pi\) |
0.993472 | + | 0.114076i | \(0.0363907\pi\) | |||||||
\(102\) | 1.28449 | + | 9.52486i | 0.127183 | + | 0.943102i | ||||
\(103\) | 12.3426 | + | 11.4522i | 1.21615 | + | 1.12842i | 0.987945 | + | 0.154808i | \(0.0494758\pi\) |
0.228204 | + | 0.973613i | \(0.426715\pi\) | |||||||
\(104\) | 4.65193 | + | 1.43493i | 0.456159 | + | 0.140707i | ||||
\(105\) | −0.683794 | + | 1.44772i | −0.0667314 | + | 0.141283i | ||||
\(106\) | 22.5171 | − | 6.94560i | 2.18705 | − | 0.674616i | ||||
\(107\) | 10.9279 | + | 5.26260i | 1.05644 | + | 0.508754i | 0.879713 | − | 0.475506i | \(-0.157735\pi\) |
0.176727 | + | 0.984260i | \(0.443449\pi\) | |||||||
\(108\) | 3.95272 | + | 6.42190i | 0.380351 | + | 0.617948i | ||||
\(109\) | −11.7011 | + | 5.63497i | −1.12077 | + | 0.539733i | −0.900129 | − | 0.435623i | \(-0.856528\pi\) |
−0.220637 | + | 0.975356i | \(0.570814\pi\) | |||||||
\(110\) | −0.373919 | + | 0.952731i | −0.0356518 | + | 0.0908394i | ||||
\(111\) | 8.42562 | + | 9.36874i | 0.799724 | + | 0.889242i | ||||
\(112\) | −10.6472 | − | 6.90458i | −1.00607 | − | 0.652422i | ||||
\(113\) | 0.790649 | − | 0.539056i | 0.0743780 | − | 0.0507101i | −0.525560 | − | 0.850756i | \(-0.676144\pi\) |
0.599938 | + | 0.800046i | \(0.295192\pi\) | |||||||
\(114\) | 15.8061 | + | 9.45642i | 1.48038 | + | 0.885675i | ||||
\(115\) | 1.04318 | − | 2.65799i | 0.0972774 | − | 0.247859i | ||||
\(116\) | 12.7853 | 1.18708 | ||||||||
\(117\) | −0.625785 | − | 14.3122i | −0.0578539 | − | 1.32317i | ||||
\(118\) | 2.48626 | + | 3.11768i | 0.228879 | + | 0.287005i | ||||
\(119\) | −4.78327 | + | 6.29065i | −0.438482 | + | 0.576663i | ||||
\(120\) | 0.488256 | − | 0.377100i | 0.0445715 | − | 0.0344243i | ||||
\(121\) | −3.11036 | − | 7.92507i | −0.282760 | − | 0.720461i | ||||
\(122\) | 5.47588 | − | 3.73339i | 0.495763 | − | 0.338005i | ||||
\(123\) | −12.4900 | − | 10.2823i | −1.12619 | − | 0.927119i | ||||
\(124\) | 6.09563 | + | 0.918769i | 0.547404 | + | 0.0825079i | ||||
\(125\) | −2.15179 | + | 2.69826i | −0.192462 | + | 0.241340i | ||||
\(126\) | −3.39630 | + | 14.3490i | −0.302566 | + | 1.27831i | ||||
\(127\) | 8.54348 | + | 10.7132i | 0.758111 | + | 0.950641i | 0.999806 | − | 0.0197114i | \(-0.00627473\pi\) |
−0.241695 | + | 0.970352i | \(0.577703\pi\) | |||||||
\(128\) | 3.92432 | + | 6.79713i | 0.346864 | + | 0.600787i | ||||
\(129\) | −0.185263 | + | 0.193540i | −0.0163115 | + | 0.0170403i | ||||
\(130\) | 3.06490 | − | 0.461959i | 0.268809 | − | 0.0405165i | ||||
\(131\) | −2.57810 | − | 0.795239i | −0.225250 | − | 0.0694804i | 0.180076 | − | 0.983653i | \(-0.442366\pi\) |
−0.405326 | + | 0.914172i | \(0.632842\pi\) | |||||||
\(132\) | −0.651620 | + | 3.90965i | −0.0567163 | + | 0.340292i | ||||
\(133\) | 3.71002 | + | 14.6834i | 0.321700 | + | 1.27321i | ||||
\(134\) | −21.1172 | + | 10.1695i | −1.82425 | + | 0.878512i | ||||
\(135\) | −1.52819 | − | 0.980069i | −0.131525 | − | 0.0843509i | ||||
\(136\) | 2.74348 | − | 1.32119i | 0.235251 | − | 0.113291i | ||||
\(137\) | −10.0297 | + | 9.30618i | −0.856893 | + | 0.795081i | −0.980349 | − | 0.197269i | \(-0.936793\pi\) |
0.123456 | + | 0.992350i | \(0.460602\pi\) | |||||||
\(138\) | 4.32328 | − | 25.9392i | 0.368022 | − | 2.20809i | ||||
\(139\) | 3.70679 | + | 3.43940i | 0.314406 | + | 0.291726i | 0.821551 | − | 0.570134i | \(-0.193109\pi\) |
−0.507146 | + | 0.861860i | \(0.669299\pi\) | |||||||
\(140\) | −1.33079 | − | 0.169264i | −0.112472 | − | 0.0143054i | ||||
\(141\) | −2.43285 | − | 1.45552i | −0.204883 | − | 0.122576i | ||||
\(142\) | −2.43869 | + | 0.752236i | −0.204650 | + | 0.0631263i | ||||
\(143\) | 4.69481 | − | 5.88710i | 0.392600 | − | 0.492304i | ||||
\(144\) | 9.31700 | − | 10.9654i | 0.776417 | − | 0.913787i | ||||
\(145\) | −2.77322 | + | 1.33551i | −0.230303 | + | 0.110908i | ||||
\(146\) | −10.5061 | − | 18.1971i | −0.869492 | − | 1.50600i | ||||
\(147\) | −10.3095 | + | 6.38084i | −0.850310 | + | 0.526283i | ||||
\(148\) | −5.27869 | + | 9.14296i | −0.433905 | + | 0.751546i | ||||
\(149\) | −0.924224 | + | 12.3329i | −0.0757153 | + | 1.01035i | 0.821917 | + | 0.569607i | \(0.192905\pi\) |
−0.897633 | + | 0.440744i | \(0.854715\pi\) | |||||||
\(150\) | −7.02925 | + | 14.0338i | −0.573936 | + | 1.14586i | ||||
\(151\) | 7.05365 | + | 1.06317i | 0.574018 | + | 0.0865193i | 0.429635 | − | 0.903003i | \(-0.358642\pi\) |
0.144383 | + | 0.989522i | \(0.453880\pi\) | |||||||
\(152\) | 1.29854 | − | 5.68928i | 0.105326 | − | 0.461461i | ||||
\(153\) | −6.37599 | − | 6.29620i | −0.515468 | − | 0.509018i | ||||
\(154\) | −6.30118 | + | 4.51263i | −0.507764 | + | 0.363638i | ||||
\(155\) | −1.41816 | + | 0.437444i | −0.113909 | + | 0.0351364i | ||||
\(156\) | 11.2404 | − | 4.21102i | 0.899955 | − | 0.337151i | ||||
\(157\) | 4.53422 | + | 1.39862i | 0.361870 | + | 0.111622i | 0.470358 | − | 0.882476i | \(-0.344125\pi\) |
−0.108488 | + | 0.994098i | \(0.534601\pi\) | |||||||
\(158\) | 1.05870 | − | 14.1273i | 0.0842253 | − | 1.12391i | ||||
\(159\) | −12.6567 | + | 17.9574i | −1.00374 | + | 1.42412i | ||||
\(160\) | 1.98366 | + | 1.35243i | 0.156822 | + | 0.106919i | ||||
\(161\) | 17.5794 | − | 12.5896i | 1.38545 | − | 0.992200i | ||||
\(162\) | −15.6397 | − | 5.91196i | −1.22877 | − | 0.464487i | ||||
\(163\) | −3.93048 | − | 17.2206i | −0.307859 | − | 1.34882i | −0.857958 | − | 0.513720i | \(-0.828267\pi\) |
0.550099 | − | 0.835099i | \(-0.314590\pi\) | |||||||
\(164\) | 4.95223 | − | 12.6181i | 0.386704 | − | 0.985306i | ||||
\(165\) | −0.267050 | − | 0.916099i | −0.0207898 | − | 0.0713182i | ||||
\(166\) | 0.315365 | − | 0.546228i | 0.0244771 | − | 0.0423955i | ||||
\(167\) | 7.22208 | − | 1.08855i | 0.558861 | − | 0.0842348i | 0.136463 | − | 0.990645i | \(-0.456426\pi\) |
0.422398 | + | 0.906410i | \(0.361188\pi\) | |||||||
\(168\) | 4.65590 | − | 0.384217i | 0.359211 | − | 0.0296430i | ||||
\(169\) | −9.69406 | − | 1.46114i | −0.745697 | − | 0.112396i | ||||
\(170\) | 1.20878 | − | 1.51576i | 0.0927088 | − | 0.116253i | ||||
\(171\) | −17.0522 | + | 2.03013i | −1.30402 | + | 0.155248i | ||||
\(172\) | −0.202251 | − | 0.0973990i | −0.0154215 | − | 0.00742661i | ||||
\(173\) | −11.8319 | − | 1.78337i | −0.899562 | − | 0.135587i | −0.317050 | − | 0.948409i | \(-0.602692\pi\) |
−0.582513 | + | 0.812822i | \(0.697930\pi\) | |||||||
\(174\) | −22.4353 | + | 17.3277i | −1.70082 | + | 1.31361i | ||||
\(175\) | −12.2413 | + | 4.08774i | −0.925356 | + | 0.309004i | ||||
\(176\) | 7.47864 | − | 1.12722i | 0.563724 | − | 0.0849677i | ||||
\(177\) | −3.61132 | − | 0.883565i | −0.271444 | − | 0.0664128i | ||||
\(178\) | −3.66331 | − | 6.34504i | −0.274577 | − | 0.475581i | ||||
\(179\) | 9.31938 | + | 11.6861i | 0.696563 | + | 0.873463i | 0.996762 | − | 0.0804143i | \(-0.0256243\pi\) |
−0.300198 | + | 0.953877i | \(0.597053\pi\) | |||||||
\(180\) | 0.384439 | − | 1.47175i | 0.0286544 | − | 0.109698i | ||||
\(181\) | 10.4551 | + | 5.03491i | 0.777121 | + | 0.374242i | 0.780020 | − | 0.625754i | \(-0.215209\pi\) |
−0.00289936 | + | 0.999996i | \(0.500923\pi\) | |||||||
\(182\) | 21.3764 | + | 9.69292i | 1.58453 | + | 0.718487i | ||||
\(183\) | −1.91291 | + | 5.87548i | −0.141406 | + | 0.434328i | ||||
\(184\) | −8.23850 | + | 1.24175i | −0.607350 | + | 0.0915433i | ||||
\(185\) | 0.189940 | − | 2.53457i | 0.0139647 | − | 0.186345i | ||||
\(186\) | −11.9417 | + | 6.64910i | −0.875607 | + | 0.487536i | ||||
\(187\) | −0.351971 | − | 4.69673i | −0.0257387 | − | 0.343459i | ||||
\(188\) | 0.528573 | − | 2.31583i | 0.0385501 | − | 0.168899i | ||||
\(189\) | −5.67137 | − | 12.5234i | −0.412531 | − | 0.910943i | ||||
\(190\) | −0.826760 | − | 3.62227i | −0.0599795 | − | 0.262787i | ||||
\(191\) | 0.138697 | − | 0.0427824i | 0.0100358 | − | 0.00309562i | −0.289733 | − | 0.957107i | \(-0.593567\pi\) |
0.299769 | + | 0.954012i | \(0.403090\pi\) | |||||||
\(192\) | 5.08393 | + | 2.08710i | 0.366901 | + | 0.150624i | ||||
\(193\) | 8.12363 | + | 7.53763i | 0.584752 | + | 0.542570i | 0.916106 | − | 0.400936i | \(-0.131315\pi\) |
−0.331354 | + | 0.943506i | \(0.607506\pi\) | |||||||
\(194\) | 0.902809 | − | 12.0472i | 0.0648179 | − | 0.864935i | ||||
\(195\) | −1.99826 | + | 2.08754i | −0.143099 | + | 0.149492i | ||||
\(196\) | −7.75786 | − | 6.55856i | −0.554133 | − | 0.468468i | ||||
\(197\) | 15.8596 | 1.12995 | 0.564973 | − | 0.825109i | \(-0.308886\pi\) | ||||
0.564973 | + | 0.825109i | \(0.308886\pi\) | |||||||
\(198\) | −4.15525 | − | 7.74371i | −0.295301 | − | 0.550322i | ||||
\(199\) | 0.112409 | − | 0.492497i | 0.00796848 | − | 0.0349122i | −0.970787 | − | 0.239941i | \(-0.922872\pi\) |
0.978756 | + | 0.205029i | \(0.0657289\pi\) | |||||||
\(200\) | 4.91729 | + | 0.741162i | 0.347705 | + | 0.0524081i | ||||
\(201\) | 9.78645 | − | 19.5385i | 0.690283 | − | 1.37814i | ||||
\(202\) | −32.6739 | − | 10.0785i | −2.29892 | − | 0.709124i | ||||
\(203\) | −23.1224 | − | 2.94096i | −1.62288 | − | 0.206415i | ||||
\(204\) | 3.36240 | − | 6.71300i | 0.235415 | − | 0.470004i | ||||
\(205\) | 0.243872 | + | 3.25425i | 0.0170328 | + | 0.227287i | ||||
\(206\) | −6.96032 | − | 30.4952i | −0.484948 | − | 2.12470i | ||||
\(207\) | 11.5926 | + | 21.6039i | 0.805740 | + | 1.50157i | ||||
\(208\) | −14.2805 | − | 17.9072i | −0.990176 | − | 1.24164i | ||||
\(209\) | −7.45778 | − | 5.08463i | −0.515865 | − | 0.351711i | ||||
\(210\) | 2.56464 | − | 1.50658i | 0.176977 | − | 0.103964i | ||||
\(211\) | 10.2798 | − | 7.00862i | 0.707688 | − | 0.482494i | −0.155204 | − | 0.987883i | \(-0.549603\pi\) |
0.862892 | + | 0.505389i | \(0.168651\pi\) | |||||||
\(212\) | −17.5899 | − | 5.42578i | −1.20808 | − | 0.372644i | ||||
\(213\) | 1.37077 | − | 1.94486i | 0.0939236 | − | 0.133260i | ||||
\(214\) | −11.2664 | − | 19.5139i | −0.770154 | − | 1.33395i | ||||
\(215\) | 0.0540438 | 0.00368576 | ||||||||
\(216\) | −0.247058 | + | 5.29148i | −0.0168101 | + | 0.360040i | ||||
\(217\) | −10.8128 | − | 3.06378i | −0.734018 | − | 0.207983i | ||||
\(218\) | 23.8577 | + | 3.59597i | 1.61585 | + | 0.243550i | ||||
\(219\) | 18.1228 | + | 7.43994i | 1.22462 | + | 0.502744i | ||||
\(220\) | 0.660598 | − | 0.450388i | 0.0445375 | − | 0.0303652i | ||||
\(221\) | −11.7850 | + | 8.03490i | −0.792747 | + | 0.540486i | ||||
\(222\) | −3.12840 | − | 23.1980i | −0.209964 | − | 1.55695i | ||||
\(223\) | −16.0869 | − | 2.42472i | −1.07726 | − | 0.162371i | −0.413641 | − | 0.910440i | \(-0.635743\pi\) |
−0.663621 | + | 0.748069i | \(0.730981\pi\) | |||||||
\(224\) | 7.03101 | + | 16.7659i | 0.469779 | + | 1.12022i | ||||
\(225\) | −2.81107 | − | 14.3613i | −0.187404 | − | 0.957417i | ||||
\(226\) | −1.77773 | −0.118253 | ||||||||
\(227\) | 0.821815 | + | 1.42343i | 0.0545458 | + | 0.0944761i | 0.892009 | − | 0.452018i | \(-0.149296\pi\) |
−0.837463 | + | 0.546494i | \(0.815962\pi\) | |||||||
\(228\) | −6.04060 | − | 13.0592i | −0.400049 | − | 0.864864i | ||||
\(229\) | −1.22337 | − | 0.377360i | −0.0808426 | − | 0.0249366i | 0.254070 | − | 0.967186i | \(-0.418231\pi\) |
−0.334913 | + | 0.942249i | \(0.608707\pi\) | |||||||
\(230\) | −4.38284 | + | 2.98817i | −0.288996 | + | 0.197034i | ||||
\(231\) | 2.07780 | − | 6.92081i | 0.136709 | − | 0.455356i | ||||
\(232\) | 7.42067 | + | 5.05933i | 0.487191 | + | 0.332161i | ||||
\(233\) | 3.65789 | + | 4.58684i | 0.239636 | + | 0.300494i | 0.887077 | − | 0.461622i | \(-0.152732\pi\) |
−0.647441 | + | 0.762116i | \(0.724161\pi\) | |||||||
\(234\) | −14.0173 | + | 22.6234i | −0.916343 | + | 1.47894i | ||||
\(235\) | 0.127253 | + | 0.557534i | 0.00830110 | + | 0.0363695i | ||||
\(236\) | −0.232791 | − | 3.10638i | −0.0151534 | − | 0.202208i | ||||
\(237\) | 7.26991 | + | 11.0276i | 0.472232 | + | 0.716322i | ||||
\(238\) | 13.9253 | − | 4.65007i | 0.902642 | − | 0.301419i | ||||
\(239\) | −5.90912 | − | 1.82272i | −0.382229 | − | 0.117902i | 0.0976855 | − | 0.995217i | \(-0.468856\pi\) |
−0.479914 | + | 0.877315i | \(0.659332\pi\) | |||||||
\(240\) | −2.89745 | + | 0.171869i | −0.187030 | + | 0.0110941i | ||||
\(241\) | −28.5479 | − | 4.30291i | −1.83893 | − | 0.277175i | −0.864630 | − | 0.502409i | \(-0.832447\pi\) |
−0.974305 | + | 0.225234i | \(0.927685\pi\) | |||||||
\(242\) | −3.51942 | + | 15.4196i | −0.226237 | + | 0.991208i | ||||
\(243\) | 14.9094 | − | 4.55067i | 0.956441 | − | 0.291925i | ||||
\(244\) | −5.17726 | −0.331440 | ||||||||
\(245\) | 2.36783 | + | 0.612236i | 0.151275 | + | 0.0391143i | ||||
\(246\) | 8.41105 | + | 28.8536i | 0.536269 | + | 1.83964i | ||||
\(247\) | −2.04274 | + | 27.2585i | −0.129977 | + | 1.73442i | ||||
\(248\) | 3.17439 | + | 2.94540i | 0.201574 | + | 0.187033i | ||||
\(249\) | 0.0785912 | + | 0.582777i | 0.00498052 | + | 0.0369320i | ||||
\(250\) | 6.12664 | − | 1.88982i | 0.387482 | − | 0.119523i | ||||
\(251\) | −4.03716 | − | 17.6879i | −0.254823 | − | 1.11645i | −0.926704 | − | 0.375793i | \(-0.877370\pi\) |
0.671880 | − | 0.740660i | \(-0.265487\pi\) | |||||||
\(252\) | 8.50647 | − | 7.76689i | 0.535857 | − | 0.489268i | ||||
\(253\) | −2.86758 | + | 12.5637i | −0.180283 | + | 0.789873i | ||||
\(254\) | −1.90234 | − | 25.3850i | −0.119364 | − | 1.59280i | ||||
\(255\) | −0.0281097 | + | 1.80733i | −0.00176030 | + | 0.113179i | ||||
\(256\) | 1.56385 | − | 20.8682i | 0.0977408 | − | 1.30426i | ||||
\(257\) | −20.1460 | + | 3.03652i | −1.25667 | + | 0.189413i | −0.743420 | − | 0.668825i | \(-0.766797\pi\) |
−0.513252 | + | 0.858238i | \(0.671559\pi\) | |||||||
\(258\) | 0.486910 | − | 0.103195i | 0.0303137 | − | 0.00642462i | ||||
\(259\) | 11.6498 | − | 15.3210i | 0.723881 | − | 0.952001i | ||||
\(260\) | −2.18150 | − | 1.05056i | −0.135291 | − | 0.0651527i | ||||
\(261\) | 6.67962 | − | 25.5716i | 0.413458 | − | 1.58284i | ||||
\(262\) | 3.12502 | + | 3.91866i | 0.193065 | + | 0.242095i | ||||
\(263\) | −7.61589 | − | 13.1911i | −0.469616 | − | 0.813399i | 0.529781 | − | 0.848135i | \(-0.322274\pi\) |
−0.999397 | + | 0.0347361i | \(0.988941\pi\) | |||||||
\(264\) | −1.92532 | + | 2.01134i | −0.118495 | + | 0.123789i | ||||
\(265\) | 4.38215 | − | 0.660503i | 0.269193 | − | 0.0405744i | ||||
\(266\) | 9.67164 | − | 26.4208i | 0.593006 | − | 1.61997i | ||||
\(267\) | 6.31911 | + | 2.59419i | 0.386723 | + | 0.158762i | ||||
\(268\) | 18.1051 | + | 2.72891i | 1.10595 | + | 0.166694i | ||||
\(269\) | −9.86911 | − | 4.75271i | −0.601730 | − | 0.289778i | 0.108112 | − | 0.994139i | \(-0.465519\pi\) |
−0.709842 | + | 0.704361i | \(0.751234\pi\) | |||||||
\(270\) | 1.32004 | + | 3.10362i | 0.0803348 | + | 0.188880i | ||||
\(271\) | −7.09547 | + | 8.89744i | −0.431019 | + | 0.540481i | −0.949152 | − | 0.314820i | \(-0.898056\pi\) |
0.518133 | + | 0.855300i | \(0.326627\pi\) | |||||||
\(272\) | −14.1664 | − | 2.13524i | −0.858964 | − | 0.129468i | ||||
\(273\) | −21.2972 | + | 5.03011i | −1.28897 | + | 0.304436i | ||||
\(274\) | 25.1340 | − | 3.78834i | 1.51840 | − | 0.228862i | ||||
\(275\) | 3.84585 | − | 6.66122i | 0.231914 | − | 0.401686i | ||||
\(276\) | −14.2051 | + | 14.8398i | −0.855047 | + | 0.893250i | ||||
\(277\) | −4.63468 | + | 11.8090i | −0.278471 | + | 0.709532i | 0.721385 | + | 0.692535i | \(0.243506\pi\) |
−0.999856 | + | 0.0169976i | \(0.994589\pi\) | |||||||
\(278\) | −2.09036 | − | 9.15848i | −0.125372 | − | 0.549289i | ||||
\(279\) | 5.02226 | − | 11.7118i | 0.300675 | − | 0.701166i | ||||
\(280\) | −0.705420 | − | 0.624856i | −0.0421569 | − | 0.0373423i | ||||
\(281\) | −22.9377 | − | 15.6386i | −1.36835 | − | 0.932924i | −0.999995 | − | 0.00323748i | \(-0.998969\pi\) |
−0.368353 | − | 0.929686i | \(-0.620078\pi\) | |||||||
\(282\) | 2.21109 | + | 4.78014i | 0.131668 | + | 0.284653i | ||||
\(283\) | −0.507714 | + | 6.77497i | −0.0301805 | + | 0.402730i | 0.961571 | + | 0.274556i | \(0.0885308\pi\) |
−0.991752 | + | 0.128174i | \(0.959088\pi\) | |||||||
\(284\) | 1.90506 | + | 0.587634i | 0.113045 | + | 0.0348696i | ||||
\(285\) | 2.67437 | + | 2.20164i | 0.158416 | + | 0.130414i | ||||
\(286\) | −13.3672 | + | 4.12323i | −0.790419 | + | 0.243812i | ||||
\(287\) | −11.8587 | + | 21.6809i | −0.699998 | + | 1.27978i | ||||
\(288\) | −19.8783 | + | 5.46074i | −1.17134 | + | 0.321777i | ||||
\(289\) | 1.79759 | − | 7.87576i | 0.105741 | − | 0.463280i | ||||
\(290\) | 5.65436 | + | 0.852258i | 0.332036 | + | 0.0500463i | ||||
\(291\) | 6.19946 | + | 9.40389i | 0.363419 | + | 0.551266i | ||||
\(292\) | −1.22665 | + | 16.3685i | −0.0717842 | + | 0.957893i | ||||
\(293\) | −7.03539 | + | 12.1857i | −0.411012 | + | 0.711893i | −0.995001 | − | 0.0998683i | \(-0.968158\pi\) |
0.583989 | + | 0.811762i | \(0.301491\pi\) | |||||||
\(294\) | 22.5021 | + | 0.994686i | 1.31235 | + | 0.0580113i | ||||
\(295\) | 0.374977 | + | 0.649480i | 0.0218320 | + | 0.0378142i | ||||
\(296\) | −6.68181 | + | 3.21779i | −0.388372 | + | 0.187030i | ||||
\(297\) | 7.47920 | + | 3.34588i | 0.433987 | + | 0.194148i | ||||
\(298\) | 14.3251 | − | 17.9631i | 0.829833 | − | 1.04058i | ||||
\(299\) | 37.2926 | − | 11.5033i | 2.15669 | − | 0.665250i | ||||
\(300\) | 10.7126 | − | 5.96477i | 0.618495 | − | 0.344376i | ||||
\(301\) | 0.343372 | + | 0.222672i | 0.0197916 | + | 0.0128346i | ||||
\(302\) | −9.71436 | − | 9.01361i | −0.558999 | − | 0.518675i | ||||
\(303\) | 29.8532 | − | 11.1839i | 1.71502 | − | 0.642500i | ||||
\(304\) | −20.1263 | + | 18.6745i | −1.15432 | + | 1.07106i | ||||
\(305\) | 1.12299 | − | 0.540802i | 0.0643020 | − | 0.0309662i | ||||
\(306\) | 3.19777 | + | 16.3369i | 0.182804 | + | 0.933916i | ||||
\(307\) | −17.9159 | + | 8.62785i | −1.02252 | + | 0.492417i | −0.868520 | − | 0.495654i | \(-0.834928\pi\) |
−0.153995 | + | 0.988072i | \(0.549214\pi\) | |||||||
\(308\) | 6.05286 | − | 0.139774i | 0.344894 | − | 0.00796438i | ||||
\(309\) | 22.5150 | + | 18.5352i | 1.28083 | + | 1.05443i | ||||
\(310\) | 2.63459 | + | 0.812663i | 0.149635 | + | 0.0461562i | ||||
\(311\) | 13.8024 | − | 2.08037i | 0.782660 | − | 0.117967i | 0.254456 | − | 0.967084i | \(-0.418104\pi\) |
0.528204 | + | 0.849117i | \(0.322865\pi\) | |||||||
\(312\) | 8.19041 | + | 2.00391i | 0.463691 | + | 0.113449i | ||||
\(313\) | 3.72166 | + | 6.44610i | 0.210361 | + | 0.364355i | 0.951827 | − | 0.306634i | \(-0.0992029\pi\) |
−0.741467 | + | 0.670990i | \(0.765870\pi\) | |||||||
\(314\) | −5.49612 | − | 6.89191i | −0.310164 | − | 0.388933i | ||||
\(315\) | −1.03381 | + | 2.57326i | −0.0582485 | + | 0.144987i | ||||
\(316\) | −6.90013 | + | 8.65249i | −0.388163 | + | 0.486741i | ||||
\(317\) | −15.2607 | − | 2.30018i | −0.857125 | − | 0.129191i | −0.294245 | − | 0.955730i | \(-0.595068\pi\) |
−0.562879 | + | 0.826539i | \(0.690306\pi\) | |||||||
\(318\) | 38.2199 | − | 14.3184i | 2.14327 | − | 0.802935i | ||||
\(319\) | 11.4779 | − | 7.82550i | 0.642639 | − | 0.438144i | ||||
\(320\) | −0.405007 | − | 1.03194i | −0.0226406 | − | 0.0576872i | ||||
\(321\) | 19.4342 | + | 7.97832i | 1.08471 | + | 0.445306i | ||||
\(322\) | −40.1586 | + | 0.927354i | −2.23795 | + | 0.0516794i | ||||
\(323\) | 10.6603 | + | 13.3676i | 0.593155 | + | 0.743793i | ||||
\(324\) | 7.49293 | + | 10.6982i | 0.416274 | + | 0.594342i | ||||
\(325\) | −23.2936 | −1.29210 | ||||||||
\(326\) | −11.9884 | + | 30.5459i | −0.663976 | + | 1.69178i | ||||
\(327\) | −19.6535 | + | 10.9430i | −1.08684 | + | 0.605150i | ||||
\(328\) | 7.86748 | − | 5.36396i | 0.434409 | − | 0.296175i | ||||
\(329\) | −1.48864 | + | 4.06665i | −0.0820714 | + | 0.224201i | ||||
\(330\) | −0.548799 | + | 1.68563i | −0.0302104 | + | 0.0927910i | ||||
\(331\) | −2.37849 | + | 6.06028i | −0.130733 | + | 0.333103i | −0.981220 | − | 0.192894i | \(-0.938213\pi\) |
0.850486 | + | 0.525997i | \(0.176308\pi\) | |||||||
\(332\) | −0.443921 | + | 0.213781i | −0.0243633 | + | 0.0117328i | ||||
\(333\) | 15.5289 | + | 15.3345i | 0.850976 | + | 0.840327i | ||||
\(334\) | −12.2247 | − | 5.88710i | −0.668905 | − | 0.322128i | ||||
\(335\) | −4.21219 | + | 1.29929i | −0.230136 | + | 0.0709876i | ||||
\(336\) | −19.1173 | − | 10.8461i | −1.04294 | − | 0.591705i | ||||
\(337\) | 2.04131 | + | 0.629660i | 0.111197 | + | 0.0342998i | 0.349854 | − | 0.936804i | \(-0.386231\pi\) |
−0.238657 | + | 0.971104i | \(0.576707\pi\) | |||||||
\(338\) | 13.3508 | + | 12.3877i | 0.726186 | + | 0.673802i | ||||
\(339\) | 1.31176 | − | 1.01312i | 0.0712448 | − | 0.0550253i | ||||
\(340\) | −1.44721 | + | 0.446406i | −0.0784861 | + | 0.0242098i | ||||
\(341\) | 6.03468 | − | 2.90615i | 0.326796 | − | 0.157377i | ||||
\(342\) | 28.2988 | + | 14.7292i | 1.53023 | + | 0.796463i | ||||
\(343\) | 12.5216 | + | 13.6458i | 0.676105 | + | 0.736806i | ||||
\(344\) | −0.0788459 | − | 0.136565i | −0.00425109 | − | 0.00736310i | ||||
\(345\) | 1.53107 | − | 4.70268i | 0.0824302 | − | 0.253184i | ||||
\(346\) | 16.2950 | + | 15.1196i | 0.876025 | + | 0.812833i | ||||
\(347\) | 9.51550 | + | 24.2451i | 0.510819 | + | 1.30154i | 0.921008 | + | 0.389544i | \(0.127367\pi\) |
−0.410189 | + | 0.912000i | \(0.634537\pi\) | |||||||
\(348\) | 22.1059 | − | 1.31126i | 1.18500 | − | 0.0702909i | ||||
\(349\) | 11.9156 | − | 11.0561i | 0.637828 | − | 0.591818i | −0.293518 | − | 0.955954i | \(-0.594826\pi\) |
0.931346 | + | 0.364136i | \(0.118636\pi\) | |||||||
\(350\) | 23.0676 | + | 6.53618i | 1.23302 | + | 0.349373i | ||||
\(351\) | −2.54986 | − | 24.6819i | −0.136101 | − | 1.31742i | ||||
\(352\) | −9.76233 | − | 4.70129i | −0.520334 | − | 0.250580i | ||||
\(353\) | 6.57792 | − | 6.10341i | 0.350107 | − | 0.324852i | −0.485441 | − | 0.874270i | \(-0.661341\pi\) |
0.835548 | + | 0.549418i | \(0.185150\pi\) | |||||||
\(354\) | 4.61853 | + | 5.13551i | 0.245472 | + | 0.272949i | ||||
\(355\) | −0.474604 | + | 0.0715351i | −0.0251894 | + | 0.00379669i | ||||
\(356\) | −0.427712 | + | 5.70742i | −0.0226687 | + | 0.302493i | ||||
\(357\) | −7.62516 | + | 11.3672i | −0.403566 | + | 0.601615i | ||||
\(358\) | −2.07511 | − | 27.6904i | −0.109673 | − | 1.46348i | ||||
\(359\) | 0.662154 | + | 2.90109i | 0.0349472 | + | 0.153114i | 0.989391 | − | 0.145277i | \(-0.0464073\pi\) |
−0.954444 | + | 0.298391i | \(0.903550\pi\) | |||||||
\(360\) | 0.805525 | − | 0.702086i | 0.0424549 | − | 0.0370032i | ||||
\(361\) | 13.7667 | 0.724564 | ||||||||
\(362\) | −10.7789 | − | 18.6697i | −0.566528 | − | 0.981256i | ||||
\(363\) | −6.19065 | − | 13.3835i | −0.324925 | − | 0.702453i | ||||
\(364\) | −9.53184 | − | 15.6630i | −0.499604 | − | 0.820967i | ||||
\(365\) | −1.44374 | − | 3.67858i | −0.0755685 | − | 0.192546i | ||||
\(366\) | 9.08496 | − | 7.01668i | 0.474878 | − | 0.366768i | ||||
\(367\) | −0.778527 | − | 10.3887i | −0.0406388 | − | 0.542287i | −0.979953 | − | 0.199229i | \(-0.936156\pi\) |
0.939314 | − | 0.343058i | \(-0.111463\pi\) | |||||||
\(368\) | 35.3168 | + | 17.0077i | 1.84101 | + | 0.886586i | ||||
\(369\) | −22.6499 | − | 16.4972i | −1.17911 | − | 0.858807i | ||||
\(370\) | −2.94400 | + | 3.69166i | −0.153051 | + | 0.191920i | ||||
\(371\) | 30.5637 | + | 13.8588i | 1.58679 | + | 0.719514i | ||||
\(372\) | 10.6337 | + | 0.963392i | 0.551329 | + | 0.0499496i | ||||
\(373\) | −6.95260 | + | 12.0423i | −0.359992 | + | 0.623525i | −0.987959 | − | 0.154715i | \(-0.950554\pi\) |
0.627967 | + | 0.778240i | \(0.283887\pi\) | |||||||
\(374\) | −4.37491 | + | 7.57756i | −0.226221 | + | 0.391826i | ||||
\(375\) | −3.44374 | + | 4.88601i | −0.177834 | + | 0.252312i | ||||
\(376\) | 1.22320 | − | 1.13496i | 0.0630816 | − | 0.0585312i | ||||
\(377\) | −37.9036 | − | 18.2534i | −1.95214 | − | 0.940099i | ||||
\(378\) | −4.40060 | + | 25.1579i | −0.226342 | + | 1.29398i | ||||
\(379\) | 21.2423 | − | 10.2298i | 1.09114 | − | 0.525468i | 0.200281 | − | 0.979738i | \(-0.435814\pi\) |
0.890864 | + | 0.454271i | \(0.150100\pi\) | |||||||
\(380\) | −1.06038 | + | 2.70179i | −0.0543961 | + | 0.138599i | ||||
\(381\) | 15.8705 | + | 17.6470i | 0.813071 | + | 0.904083i | ||||
\(382\) | −0.257665 | − | 0.0794790i | −0.0131833 | − | 0.00406650i | ||||
\(383\) | −8.91450 | + | 6.07781i | −0.455510 | + | 0.310561i | −0.769250 | − | 0.638947i | \(-0.779370\pi\) |
0.313741 | + | 0.949509i | \(0.398418\pi\) | |||||||
\(384\) | 7.48232 | + | 11.3498i | 0.381830 | + | 0.579194i | ||||
\(385\) | −1.29831 | + | 0.662582i | −0.0661680 | + | 0.0337683i | ||||
\(386\) | −4.58114 | − | 20.0713i | −0.233174 | − | 1.02160i | ||||
\(387\) | −0.300472 | + | 0.353634i | −0.0152738 | + | 0.0179762i | ||||
\(388\) | −5.88413 | + | 7.37846i | −0.298721 | + | 0.374585i | ||||
\(389\) | 4.21956 | − | 1.30156i | 0.213940 | − | 0.0659918i | −0.185932 | − | 0.982563i | \(-0.559531\pi\) |
0.399873 | + | 0.916571i | \(0.369054\pi\) | |||||||
\(390\) | 5.25186 | − | 1.11307i | 0.265938 | − | 0.0563624i | ||||
\(391\) | 12.2054 | − | 21.1404i | 0.617253 | − | 1.06911i | ||||
\(392\) | −1.90740 | − | 6.87655i | −0.0963385 | − | 0.347318i | ||||
\(393\) | −4.53913 | − | 1.11057i | −0.228969 | − | 0.0560207i | ||||
\(394\) | −24.3436 | − | 16.5972i | −1.22641 | − | 0.836153i | ||||
\(395\) | 0.592875 | − | 2.59756i | 0.0298308 | − | 0.130697i | ||||
\(396\) | −0.725684 | + | 6.82667i | −0.0364670 | + | 0.343053i | ||||
\(397\) | 1.75812 | − | 7.70283i | 0.0882375 | − | 0.386594i | −0.911455 | − | 0.411400i | \(-0.865040\pi\) |
0.999692 | + | 0.0248065i | \(0.00789696\pi\) | |||||||
\(398\) | −0.687945 | + | 0.638320i | −0.0344836 | + | 0.0319961i | ||||
\(399\) | 7.92061 | + | 25.0073i | 0.396526 | + | 1.25193i | ||||
\(400\) | −17.1508 | − | 15.9136i | −0.857539 | − | 0.795680i | ||||
\(401\) | −7.18734 | + | 4.90025i | −0.358919 | + | 0.244707i | −0.729331 | − | 0.684161i | \(-0.760169\pi\) |
0.370413 | + | 0.928867i | \(0.379216\pi\) | |||||||
\(402\) | −35.4689 | + | 19.7490i | −1.76903 | + | 0.984991i | ||||
\(403\) | −16.7596 | − | 11.4265i | −0.834855 | − | 0.569195i | ||||
\(404\) | 16.6540 | + | 20.8834i | 0.828567 | + | 1.03899i | ||||
\(405\) | −2.74277 | − | 1.53782i | −0.136289 | − | 0.0764149i | ||||
\(406\) | 32.4140 | + | 28.7121i | 1.60868 | + | 1.42496i | ||||
\(407\) | 0.857233 | + | 11.4390i | 0.0424915 | + | 0.567009i | ||||
\(408\) | 4.60801 | − | 2.56573i | 0.228130 | − | 0.127022i | ||||
\(409\) | 1.99587 | − | 0.300829i | 0.0986894 | − | 0.0148750i | −0.0995119 | − | 0.995036i | \(-0.531728\pi\) |
0.198201 | + | 0.980161i | \(0.436490\pi\) | |||||||
\(410\) | 3.03127 | − | 5.25031i | 0.149704 | − | 0.259294i | ||||
\(411\) | −16.3870 | + | 17.1191i | −0.808310 | + | 0.844425i | ||||
\(412\) | −8.92707 | + | 22.7458i | −0.439805 | + | 1.12061i | ||||
\(413\) | −0.293545 | + | 5.67151i | −0.0144444 | + | 0.279077i | ||||
\(414\) | 4.81466 | − | 45.2926i | 0.236628 | − | 2.22601i | ||||
\(415\) | 0.0739587 | − | 0.0927413i | 0.00363049 | − | 0.00455249i | ||||
\(416\) | 2.45218 | + | 32.7221i | 0.120228 | + | 1.60433i | ||||
\(417\) | 6.76183 | + | 5.56659i | 0.331128 | + | 0.272597i | ||||
\(418\) | 6.12618 | + | 15.6093i | 0.299641 | + | 0.763474i | ||||
\(419\) | −8.49642 | − | 21.6485i | −0.415077 | − | 1.05760i | −0.973630 | − | 0.228131i | \(-0.926738\pi\) |
0.558553 | − | 0.829469i | \(-0.311357\pi\) | |||||||
\(420\) | −2.31831 | − | 0.156173i | −0.113122 | − | 0.00762048i | ||||
\(421\) | 0.712904 | − | 1.81645i | 0.0347448 | − | 0.0885283i | −0.912448 | − | 0.409192i | \(-0.865811\pi\) |
0.947193 | + | 0.320664i | \(0.103906\pi\) | |||||||
\(422\) | −23.1135 | −1.12515 | ||||||||
\(423\) | −4.35570 | − | 2.26709i | −0.211782 | − | 0.110230i | ||||
\(424\) | −8.06228 | − | 10.1098i | −0.391539 | − | 0.490974i | ||||
\(425\) | −10.6806 | + | 9.91011i | −0.518083 | + | 0.480711i | ||||
\(426\) | −4.13937 | + | 1.55074i | −0.200553 | + | 0.0751335i | ||||
\(427\) | 9.36321 | + | 1.19091i | 0.453117 | + | 0.0576323i | ||||
\(428\) | −1.31541 | + | 17.5530i | −0.0635829 | + | 0.848455i | ||||
\(429\) | 7.51360 | − | 10.6604i | 0.362760 | − | 0.514688i | ||||
\(430\) | −0.0829544 | − | 0.0565573i | −0.00400041 | − | 0.00272744i | ||||
\(431\) | 1.18905 | + | 5.20956i | 0.0572745 | + | 0.250936i | 0.995458 | − | 0.0952026i | \(-0.0303499\pi\) |
−0.938183 | + | 0.346138i | \(0.887493\pi\) | |||||||
\(432\) | 14.9846 | − | 19.9149i | 0.720946 | − | 0.958157i | ||||
\(433\) | 4.86913 | − | 21.3330i | 0.233995 | − | 1.02520i | −0.712295 | − | 0.701881i | \(-0.752344\pi\) |
0.946290 | − | 0.323320i | \(-0.104799\pi\) | |||||||
\(434\) | 13.3907 | + | 16.0184i | 0.642776 | + | 0.768907i | ||||
\(435\) | −4.65795 | + | 2.59354i | −0.223332 | + | 0.124351i | ||||
\(436\) | −13.8163 | − | 12.8197i | −0.661683 | − | 0.613952i | ||||
\(437\) | −17.0912 | − | 43.5477i | −0.817583 | − | 2.08317i | ||||
\(438\) | −20.0315 | − | 30.3855i | −0.957142 | − | 1.45188i | ||||
\(439\) | 29.6152 | + | 20.1913i | 1.41346 | + | 0.963679i | 0.998551 | + | 0.0538143i | \(0.0171379\pi\) |
0.414906 | + | 0.909864i | \(0.363814\pi\) | |||||||
\(440\) | 0.561643 | 0.0267753 | ||||||||
\(441\) | −17.1707 | + | 12.0899i | −0.817655 | + | 0.575709i | ||||
\(442\) | 26.4980 | 1.26038 | ||||||||
\(443\) | −9.61111 | − | 6.55274i | −0.456638 | − | 0.311330i | 0.313066 | − | 0.949731i | \(-0.398644\pi\) |
−0.769704 | + | 0.638401i | \(0.779596\pi\) | |||||||
\(444\) | −8.18921 | + | 16.3497i | −0.388643 | + | 0.775921i | ||||
\(445\) | −0.503407 | − | 1.28266i | −0.0238638 | − | 0.0608039i | ||||
\(446\) | 22.1551 | + | 20.5569i | 1.04908 | + | 0.973399i | ||||
\(447\) | −0.333127 | + | 21.4185i | −0.0157564 | + | 1.01306i | ||||
\(448\) | 1.67857 | − | 8.22523i | 0.0793049 | − | 0.388606i | ||||
\(449\) | −1.55002 | + | 6.79110i | −0.0731502 | + | 0.320492i | −0.998243 | − | 0.0592486i | \(-0.981130\pi\) |
0.925093 | + | 0.379740i | \(0.123987\pi\) | |||||||
\(450\) | −10.7143 | + | 24.9856i | −0.505079 | + | 1.17783i | ||||
\(451\) | −3.27733 | − | 14.3589i | −0.154324 | − | 0.676135i | ||||
\(452\) | 1.14742 | + | 0.782300i | 0.0539703 | + | 0.0367963i | ||||
\(453\) | 12.3049 | + | 1.11480i | 0.578134 | + | 0.0523780i | ||||
\(454\) | 0.228185 | − | 3.04492i | 0.0107093 | − | 0.142905i | ||||
\(455\) | 3.70364 | + | 2.40176i | 0.173629 | + | 0.112596i | ||||
\(456\) | 1.66170 | − | 9.97000i | 0.0778161 | − | 0.466888i | ||||
\(457\) | −6.82668 | + | 6.33423i | −0.319338 | + | 0.296303i | −0.823511 | − | 0.567300i | \(-0.807988\pi\) |
0.504173 | + | 0.863603i | \(0.331797\pi\) | |||||||
\(458\) | 1.48290 | + | 1.85950i | 0.0692913 | + | 0.0868885i | ||||
\(459\) | −11.6699 | − | 10.2323i | −0.544704 | − | 0.477602i | ||||
\(460\) | 4.14384 | 0.193207 | ||||||||
\(461\) | 5.95541 | − | 15.1741i | 0.277371 | − | 0.706730i | −0.722511 | − | 0.691360i | \(-0.757012\pi\) |
0.999882 | − | 0.0153704i | \(-0.00489275\pi\) | |||||||
\(462\) | −10.4320 | + | 8.44864i | −0.485341 | + | 0.393066i | ||||
\(463\) | 4.49821 | + | 11.4613i | 0.209050 | + | 0.532650i | 0.996487 | − | 0.0837446i | \(-0.0266880\pi\) |
−0.787438 | + | 0.616394i | \(0.788593\pi\) | |||||||
\(464\) | −15.4377 | − | 39.3345i | −0.716675 | − | 1.82606i | ||||
\(465\) | −2.40715 | + | 0.901794i | −0.111629 | + | 0.0418197i | ||||
\(466\) | −0.814487 | − | 10.8686i | −0.0377304 | − | 0.503477i | ||||
\(467\) | −9.34488 | + | 11.7181i | −0.432429 | + | 0.542249i | −0.949530 | − | 0.313675i | \(-0.898440\pi\) |
0.517101 | + | 0.855924i | \(0.327011\pi\) | |||||||
\(468\) | 19.0030 | − | 8.43372i | 0.878412 | − | 0.389849i | ||||
\(469\) | −32.1158 | − | 9.09997i | −1.48297 | − | 0.420197i | ||||
\(470\) | 0.388137 | − | 0.988956i | 0.0179034 | − | 0.0456172i | ||||
\(471\) | 7.98317 | + | 1.95320i | 0.367845 | + | 0.0899988i | ||||
\(472\) | 1.09413 | − | 1.89509i | 0.0503614 | − | 0.0872284i | ||||
\(473\) | −0.241185 | + | 0.0363528i | −0.0110897 | + | 0.00167150i | ||||
\(474\) | 0.381596 | − | 24.5349i | 0.0175273 | − | 1.12692i | ||||
\(475\) | 2.08664 | + | 27.8443i | 0.0957416 | + | 1.27758i | ||||
\(476\) | −11.0343 | − | 3.12654i | −0.505755 | − | 0.143305i | ||||
\(477\) | −20.0418 | + | 32.3467i | −0.917652 | + | 1.48105i | ||||
\(478\) | 7.16268 | + | 8.98172i | 0.327614 | + | 0.410814i | ||||
\(479\) | −12.8178 | − | 8.73900i | −0.585658 | − | 0.399295i | 0.233925 | − | 0.972255i | \(-0.424843\pi\) |
−0.819584 | + | 0.572959i | \(0.805795\pi\) | |||||||
\(480\) | 3.56847 | + | 2.13493i | 0.162878 | + | 0.0974458i | ||||
\(481\) | 28.7027 | − | 19.5692i | 1.30873 | − | 0.892277i | ||||
\(482\) | 39.3165 | + | 36.4804i | 1.79082 | + | 1.66164i | ||||
\(483\) | 29.1038 | − | 23.5705i | 1.32427 | − | 1.07250i | ||||
\(484\) | 9.05705 | − | 8.40372i | 0.411684 | − | 0.381987i | ||||
\(485\) | 0.505578 | − | 2.21508i | 0.0229571 | − | 0.100582i | ||||
\(486\) | −27.6475 | − | 8.61783i | −1.25412 | − | 0.390913i | ||||
\(487\) | 3.99607 | − | 17.5079i | 0.181079 | − | 0.793360i | −0.800038 | − | 0.599949i | \(-0.795188\pi\) |
0.981118 | − | 0.193412i | \(-0.0619552\pi\) | |||||||
\(488\) | −3.00493 | − | 2.04872i | −0.136027 | − | 0.0927414i | ||||
\(489\) | −8.56200 | − | 29.3715i | −0.387187 | − | 1.32822i | ||||
\(490\) | −2.99378 | − | 3.41770i | −0.135245 | − | 0.154396i | ||||
\(491\) | 0.0919482 | − | 0.159259i | 0.00414956 | − | 0.00718725i | −0.863943 | − | 0.503589i | \(-0.832012\pi\) |
0.868093 | + | 0.496402i | \(0.165346\pi\) | |||||||
\(492\) | 7.26835 | − | 22.3247i | 0.327682 | − | 1.00647i | ||||
\(493\) | −25.1453 | + | 7.75630i | −1.13249 | + | 0.349326i | ||||
\(494\) | 31.6617 | − | 39.7026i | 1.42453 | − | 1.78630i | ||||
\(495\) | −0.555687 | − | 1.55656i | −0.0249763 | − | 0.0699620i | ||||
\(496\) | −4.53358 | − | 19.8629i | −0.203564 | − | 0.891871i | ||||
\(497\) | −3.31018 | − | 1.50097i | −0.148482 | − | 0.0673275i | ||||
\(498\) | 0.489248 | − | 0.976778i | 0.0219237 | − | 0.0437705i | ||||
\(499\) | −10.3398 | + | 7.04957i | −0.462874 | + | 0.315582i | −0.772206 | − | 0.635372i | \(-0.780847\pi\) |
0.309332 | + | 0.950954i | \(0.399894\pi\) | |||||||
\(500\) | −4.78602 | − | 1.47629i | −0.214037 | − | 0.0660217i | ||||
\(501\) | 12.3754 | − | 2.62282i | 0.552893 | − | 0.117179i | ||||
\(502\) | −12.3138 | + | 31.3750i | −0.549590 | + | 1.40033i | ||||
\(503\) | 21.5981 | − | 10.4011i | 0.963014 | − | 0.463763i | 0.114783 | − | 0.993391i | \(-0.463383\pi\) |
0.848230 | + | 0.529628i | \(0.177668\pi\) | |||||||
\(504\) | 8.01071 | − | 1.14183i | 0.356825 | − | 0.0508610i | ||||
\(505\) | −5.79380 | − | 2.79015i | −0.257821 | − | 0.124160i | ||||
\(506\) | 17.5496 | − | 16.2837i | 0.780176 | − | 0.723897i | ||||
\(507\) | −16.9110 | − | 1.53211i | −0.751044 | − | 0.0680434i | ||||
\(508\) | −9.94295 | + | 17.2217i | −0.441147 | + | 0.764089i | ||||
\(509\) | 7.37400 | − | 12.7721i | 0.326847 | − | 0.566115i | −0.655038 | − | 0.755596i | \(-0.727347\pi\) |
0.981884 | + | 0.189481i | \(0.0606805\pi\) | |||||||
\(510\) | 1.93453 | − | 2.74473i | 0.0856624 | − | 0.121539i | ||||
\(511\) | 5.98362 | − | 29.3206i | 0.264700 | − | 1.29707i | ||||
\(512\) | −14.4521 | + | 18.1223i | −0.638697 | + | 0.800900i | ||||
\(513\) | −29.2753 | + | 5.25900i | −1.29254 | + | 0.232191i | ||||
\(514\) | 34.1007 | + | 16.4221i | 1.50412 | + | 0.724346i | ||||
\(515\) | −0.439613 | − | 5.86623i | −0.0193717 | − | 0.258497i | ||||
\(516\) | −0.359684 | − | 0.147661i | −0.0158342 | − | 0.00650042i | ||||
\(517\) | −0.942931 | − | 2.40255i | −0.0414700 | − | 0.105664i | ||||
\(518\) | −33.9153 | + | 11.3253i | −1.49015 | + | 0.497607i | ||||
\(519\) | −20.6404 | − | 1.86999i | −0.906012 | − | 0.0820833i | ||||
\(520\) | −0.850441 | − | 1.47301i | −0.0372943 | − | 0.0645956i | ||||
\(521\) | −4.66081 | −0.204194 | −0.102097 | − | 0.994774i | \(-0.532555\pi\) | ||||
−0.102097 | + | 0.994774i | \(0.532555\pi\) | |||||||
\(522\) | −37.0138 | + | 32.2608i | −1.62005 | + | 1.41202i | ||||
\(523\) | −6.96335 | − | 30.5085i | −0.304486 | − | 1.33404i | −0.863276 | − | 0.504732i | \(-0.831591\pi\) |
0.558790 | − | 0.829309i | \(-0.311266\pi\) | |||||||
\(524\) | −0.292598 | − | 3.90445i | −0.0127822 | − | 0.170567i | ||||
\(525\) | −20.7461 | + | 8.32323i | −0.905436 | + | 0.363255i | ||||
\(526\) | −2.11463 | + | 28.2177i | −0.0922022 | + | 1.23035i | ||||
\(527\) | −12.5459 | + | 1.89099i | −0.546509 | + | 0.0823730i | ||||
\(528\) | 12.8151 | − | 2.71600i | 0.557704 | − | 0.118199i | ||||
\(529\) | −32.1008 | + | 29.7852i | −1.39569 | + | 1.29501i | ||||
\(530\) | −7.41759 | − | 3.57212i | −0.322199 | − | 0.155163i | ||||
\(531\) | −6.33464 | − | 1.15732i | −0.274900 | − | 0.0502232i | ||||
\(532\) | −17.8691 | + | 12.7971i | −0.774725 | + | 0.554824i | ||||
\(533\) | −32.6963 | + | 30.3377i | −1.41623 | + | 1.31407i | ||||
\(534\) | −6.98466 | − | 10.5949i | −0.302256 | − | 0.458488i | ||||
\(535\) | −1.54821 | − | 3.94477i | −0.0669349 | − | 0.170547i | ||||
\(536\) | 9.42849 | + | 8.74836i | 0.407249 | + | 0.377871i | ||||
\(537\) | 17.3118 | + | 19.2497i | 0.747061 | + | 0.830684i | ||||
\(538\) | 10.1748 | + | 17.6233i | 0.438667 | + | 0.759793i | ||||
\(539\) | −10.9789 | − | 1.13954i | −0.472894 | − | 0.0490834i | ||||
\(540\) | 0.513756 | − | 2.58410i | 0.0221085 | − | 0.111202i | ||||
\(541\) | −14.7863 | + | 7.12070i | −0.635712 | + | 0.306143i | −0.723842 | − | 0.689966i | \(-0.757625\pi\) |
0.0881294 | + | 0.996109i | \(0.471911\pi\) | |||||||
\(542\) | 20.2024 | − | 6.23162i | 0.867768 | − | 0.267671i | ||||
\(543\) | 18.5934 | + | 7.63314i | 0.797918 | + | 0.327569i | ||||
\(544\) | 15.0458 | + | 13.9604i | 0.645083 | + | 0.598549i | ||||
\(545\) | 4.33598 | + | 1.33747i | 0.185733 | + | 0.0572910i | ||||
\(546\) | 37.9542 | + | 14.5668i | 1.62429 | + | 0.623402i | ||||
\(547\) | 38.3118 | − | 11.8176i | 1.63810 | − | 0.505286i | 0.667218 | − | 0.744862i | \(-0.267485\pi\) |
0.970877 | + | 0.239577i | \(0.0770088\pi\) | |||||||
\(548\) | −17.8897 | − | 8.61521i | −0.764208 | − | 0.368023i | ||||
\(549\) | −2.70485 | + | 10.3550i | −0.115440 | + | 0.441939i | ||||
\(550\) | −12.8742 | + | 6.19989i | −0.548958 | + | 0.264364i | ||||
\(551\) | −18.4240 | + | 46.9436i | −0.784890 | + | 1.99987i | ||||
\(552\) | −14.1171 | + | 2.99195i | −0.600864 | + | 0.127346i | ||||
\(553\) | 14.4694 | − | 14.0610i | 0.615300 | − | 0.597935i | ||||
\(554\) | 19.4722 | − | 13.2759i | 0.827294 | − | 0.564039i | ||||
\(555\) | 0.0684618 | − | 4.40178i | 0.00290604 | − | 0.186845i | ||||
\(556\) | −2.68103 | + | 6.83115i | −0.113701 | + | 0.289705i | ||||
\(557\) | −22.0644 | −0.934900 | −0.467450 | − | 0.884020i | \(-0.654827\pi\) | ||||
−0.467450 | + | 0.884020i | \(0.654827\pi\) | |||||||
\(558\) | −19.9654 | + | 12.7211i | −0.845202 | + | 0.538528i | ||||
\(559\) | 0.460545 | + | 0.577505i | 0.0194790 | + | 0.0244259i | ||||
\(560\) | 1.08612 | + | 4.29862i | 0.0458970 | + | 0.181650i | ||||
\(561\) | −1.09026 | − | 8.08459i | −0.0460308 | − | 0.341332i | ||||
\(562\) | 18.8421 | + | 48.0090i | 0.794808 | + | 2.02514i | ||||
\(563\) | 1.68271 | − | 1.14725i | 0.0709178 | − | 0.0483510i | −0.527342 | − | 0.849653i | \(-0.676811\pi\) |
0.598260 | + | 0.801302i | \(0.295859\pi\) | |||||||
\(564\) | 0.676397 | − | 4.05831i | 0.0284814 | − | 0.170886i | ||||
\(565\) | −0.330602 | − | 0.0498302i | −0.0139085 | − | 0.00209637i | ||||
\(566\) | 7.86938 | − | 9.86789i | 0.330775 | − | 0.414779i | ||||
\(567\) | −11.0903 | − | 21.0714i | −0.465748 | − | 0.884918i | ||||
\(568\) | 0.873178 | + | 1.09493i | 0.0366377 | + | 0.0459422i | ||||
\(569\) | −9.03882 | − | 15.6557i | −0.378927 | − | 0.656321i | 0.611979 | − | 0.790874i | \(-0.290374\pi\) |
−0.990906 | + | 0.134553i | \(0.957040\pi\) | |||||||
\(570\) | −1.80098 | − | 6.17816i | −0.0754348 | − | 0.258775i | ||||
\(571\) | 23.7874 | − | 3.58537i | 0.995472 | − | 0.150043i | 0.368952 | − | 0.929449i | \(-0.379717\pi\) |
0.626520 | + | 0.779405i | \(0.284479\pi\) | |||||||
\(572\) | 10.4422 | + | 3.22100i | 0.436611 | + | 0.134677i | ||||
\(573\) | 0.235421 | − | 0.0881960i | 0.00983485 | − | 0.00368444i | ||||
\(574\) | 40.8918 | − | 20.8688i | 1.70679 | − | 0.871047i | ||||
\(575\) | 35.9173 | − | 17.2968i | 1.49785 | − | 0.721328i | ||||
\(576\) | 9.00422 | + | 3.08722i | 0.375176 | + | 0.128634i | ||||
\(577\) | 15.0765 | − | 7.26047i | 0.627644 | − | 0.302257i | −0.0928908 | − | 0.995676i | \(-0.529611\pi\) |
0.720535 | + | 0.693419i | \(0.243896\pi\) | |||||||
\(578\) | −11.0013 | + | 10.2077i | −0.457592 | + | 0.424583i | ||||
\(579\) | 14.8189 | + | 12.1995i | 0.615853 | + | 0.506993i | ||||
\(580\) | −3.27453 | − | 3.03832i | −0.135967 | − | 0.126159i | ||||
\(581\) | 0.852016 | − | 0.284514i | 0.0353476 | − | 0.0118036i | ||||
\(582\) | 0.325408 | − | 20.9223i | 0.0134886 | − | 0.867255i | ||||
\(583\) | −19.1122 | + | 5.89535i | −0.791548 | + | 0.244160i | ||||
\(584\) | −7.18922 | + | 9.01500i | −0.297492 | + | 0.373043i | ||||
\(585\) | −3.24092 | + | 3.81433i | −0.133996 | + | 0.157703i | ||||
\(586\) | 23.5513 | − | 11.3417i | 0.972897 | − | 0.468523i | ||||
\(587\) | 7.99076 | + | 13.8404i | 0.329814 | + | 0.571254i | 0.982475 | − | 0.186396i | \(-0.0596807\pi\) |
−0.652661 | + | 0.757650i | \(0.726347\pi\) | |||||||
\(588\) | −14.0861 | − | 10.5442i | −0.580900 | − | 0.434834i | ||||
\(589\) | −12.1575 | + | 21.0574i | −0.500940 | + | 0.867654i | ||||
\(590\) | 0.104116 | − | 1.38933i | 0.00428639 | − | 0.0571980i | ||||
\(591\) | 27.4214 | − | 1.62656i | 1.12796 | − | 0.0669078i | ||||
\(592\) | 34.5026 | + | 5.20043i | 1.41805 | + | 0.213736i | ||||
\(593\) | −4.25485 | + | 18.6417i | −0.174726 | + | 0.765524i | 0.809285 | + | 0.587416i | \(0.199855\pi\) |
−0.984011 | + | 0.178108i | \(0.943002\pi\) | |||||||
\(594\) | −7.97868 | − | 12.9628i | −0.327369 | − | 0.531870i | ||||
\(595\) | 2.72000 | − | 0.474437i | 0.111509 | − | 0.0194500i | ||||
\(596\) | −17.1508 | + | 5.29033i | −0.702526 | + | 0.216700i | ||||
\(597\) | 0.143846 | − | 0.863062i | 0.00588724 | − | 0.0353228i | ||||
\(598\) | −69.2804 | − | 21.3702i | −2.83309 | − | 0.873892i | ||||
\(599\) | 0.0834988 | − | 1.11421i | 0.00341167 | − | 0.0455255i | −0.995238 | − | 0.0974734i | \(-0.968924\pi\) |
0.998650 | + | 0.0519479i | \(0.0165430\pi\) | |||||||
\(600\) | 8.57806 | + | 0.777159i | 0.350198 | + | 0.0317274i | ||||
\(601\) | 24.7114 | + | 16.8479i | 1.00800 | + | 0.687241i | 0.950378 | − | 0.311097i | \(-0.100696\pi\) |
0.0576199 | + | 0.998339i | \(0.481649\pi\) | |||||||
\(602\) | −0.294029 | − | 0.701131i | −0.0119837 | − | 0.0285760i | ||||
\(603\) | 14.9170 | − | 34.7860i | 0.607467 | − | 1.41660i | ||||
\(604\) | 2.30358 | + | 10.0926i | 0.0937312 | + | 0.410663i | ||||
\(605\) | −1.08671 | + | 2.76890i | −0.0441812 | + | 0.112572i | ||||
\(606\) | −57.5271 | − | 14.0749i | −2.33688 | − | 0.571753i | ||||
\(607\) | 4.72997 | − | 8.19254i | 0.191983 | − | 0.332525i | −0.753924 | − | 0.656962i | \(-0.771841\pi\) |
0.945907 | + | 0.324437i | \(0.105175\pi\) | |||||||
\(608\) | 38.8951 | − | 5.86249i | 1.57740 | − | 0.237755i | ||||
\(609\) | −40.2806 | − | 2.71351i | −1.63225 | − | 0.109957i | ||||
\(610\) | −2.28968 | − | 0.345114i | −0.0927064 | − | 0.0139732i | ||||
\(611\) | −4.87332 | + | 6.11095i | −0.197153 | + | 0.247222i | ||||
\(612\) | 5.12515 | − | 11.9517i | 0.207172 | − | 0.483119i | ||||
\(613\) | −27.6620 | − | 13.3213i | −1.11726 | − | 0.538042i | −0.218213 | − | 0.975901i | \(-0.570023\pi\) |
−0.899044 | + | 0.437859i | \(0.855737\pi\) | |||||||
\(614\) | 36.5291 | + | 5.50588i | 1.47419 | + | 0.222199i | ||||
\(615\) | 0.755415 | + | 5.60162i | 0.0304613 | + | 0.225879i | ||||
\(616\) | 3.56844 | + | 2.31409i | 0.143777 | + | 0.0932372i | ||||
\(617\) | 43.9652 | − | 6.62668i | 1.76997 | − | 0.266780i | 0.818497 | − | 0.574510i | \(-0.194808\pi\) |
0.951474 | + | 0.307730i | \(0.0995694\pi\) | |||||||
\(618\) | −15.1621 | − | 52.0126i | −0.609908 | − | 2.09225i | ||||
\(619\) | 4.55500 | + | 7.88949i | 0.183081 | + | 0.317105i | 0.942928 | − | 0.332996i | \(-0.108060\pi\) |
−0.759847 | + | 0.650102i | \(0.774726\pi\) | |||||||
\(620\) | −1.34286 | − | 1.68389i | −0.0539306 | − | 0.0676268i | ||||
\(621\) | 22.2594 | + | 36.1644i | 0.893239 | + | 1.45123i | ||||
\(622\) | −23.3630 | − | 11.2510i | −0.936772 | − | 0.451126i | ||||
\(623\) | 2.08639 | − | 10.2236i | 0.0835895 | − | 0.409601i | ||||
\(624\) | −26.5278 | − | 29.4972i | −1.06196 | − | 1.18083i | ||||
\(625\) | −22.9249 | + | 3.45537i | −0.916996 | + | 0.138215i | ||||
\(626\) | 1.03336 | − | 13.7892i | 0.0413012 | − | 0.551126i | ||||
\(627\) | −13.4161 | − | 8.02651i | −0.535786 | − | 0.320548i | ||||
\(628\) | 0.514606 | + | 6.86694i | 0.0205350 | + | 0.274021i | ||||
\(629\) | 4.83516 | − | 21.1842i | 0.192790 | − | 0.844670i | ||||
\(630\) | 4.27978 | − | 2.86792i | 0.170510 | − | 0.114261i | ||||
\(631\) | 9.55653 | + | 41.8699i | 0.380439 | + | 1.66681i | 0.696103 | + | 0.717942i | \(0.254916\pi\) |
−0.315663 | + | 0.948871i | \(0.602227\pi\) | |||||||
\(632\) | −7.42882 | + | 2.29149i | −0.295503 | + | 0.0911505i | ||||
\(633\) | 17.0550 | − | 13.1723i | 0.677876 | − | 0.523551i | ||||
\(634\) | 21.0172 | + | 19.5011i | 0.834698 | + | 0.774487i | ||||
\(635\) | 0.357771 | − | 4.77412i | 0.0141977 | − | 0.189455i | ||||
\(636\) | −30.9697 | − | 7.57720i | −1.22803 | − | 0.300456i | ||||
\(637\) | 13.6356 | + | 30.5196i | 0.540263 | + | 1.20923i | ||||
\(638\) | −25.8074 | −1.02173 | ||||||||
\(639\) | 2.17061 | − | 3.50328i | 0.0858680 | − | 0.138587i | ||||
\(640\) | 0.610197 | − | 2.67345i | 0.0241202 | − | 0.105677i | ||||
\(641\) | 1.52075 | + | 0.229216i | 0.0600658 | + | 0.00905347i | 0.179006 | − | 0.983848i | \(-0.442712\pi\) |
−0.118941 | + | 0.992901i | \(0.537950\pi\) | |||||||
\(642\) | −21.4811 | − | 32.5843i | −0.847790 | − | 1.28600i | ||||
\(643\) | 27.3720 | + | 8.44314i | 1.07945 | + | 0.332965i | 0.782960 | − | 0.622072i | \(-0.213709\pi\) |
0.296486 | + | 0.955037i | \(0.404185\pi\) | |||||||
\(644\) | 26.3282 | + | 17.0735i | 1.03748 | + | 0.672789i | ||||
\(645\) | 0.0934424 | − | 0.00554275i | 0.00367929 | − | 0.000218246i | ||||
\(646\) | −2.37369 | − | 31.6747i | −0.0933915 | − | 1.24622i | ||||
\(647\) | 5.05491 | + | 22.1470i | 0.198729 | + | 0.870689i | 0.971695 | + | 0.236241i | \(0.0759155\pi\) |
−0.772965 | + | 0.634448i | \(0.781227\pi\) | |||||||
\(648\) | 0.115530 | + | 9.17437i | 0.00453845 | + | 0.360403i | ||||
\(649\) | −2.11031 | − | 2.64625i | −0.0828370 | − | 0.103874i | ||||
\(650\) | 35.7545 | + | 24.3770i | 1.40241 | + | 0.956144i | ||||
\(651\) | −19.0096 | − | 4.18835i | −0.745045 | − | 0.164154i | ||||
\(652\) | 21.1797 | − | 14.4401i | 0.829463 | − | 0.565518i | ||||
\(653\) | −3.39941 | − | 1.04858i | −0.133029 | − | 0.0410341i | 0.227526 | − | 0.973772i | \(-0.426936\pi\) |
−0.360555 | + | 0.932738i | \(0.617413\pi\) | |||||||
\(654\) | 41.6190 | + | 3.77062i | 1.62743 | + | 0.147443i | ||||
\(655\) | 0.471315 | + | 0.816341i | 0.0184158 | + | 0.0318971i | ||||
\(656\) | −44.7998 | −1.74914 | ||||||||
\(657\) | 32.0975 | + | 11.0051i | 1.25224 | + | 0.429348i | ||||
\(658\) | 6.54077 | − | 4.68421i | 0.254986 | − | 0.182609i | ||||
\(659\) | −20.8595 | − | 3.14407i | −0.812572 | − | 0.122476i | −0.270406 | − | 0.962746i | \(-0.587158\pi\) |
−0.542167 | + | 0.840271i | \(0.682396\pi\) | |||||||
\(660\) | 1.09599 | − | 0.846478i | 0.0426614 | − | 0.0329491i | ||||
\(661\) | −11.2030 | + | 7.63810i | −0.435748 | + | 0.297088i | −0.761256 | − | 0.648451i | \(-0.775417\pi\) |
0.325508 | + | 0.945539i | \(0.394465\pi\) | |||||||
\(662\) | 9.99299 | − | 6.81311i | 0.388389 | − | 0.264799i | ||||
\(663\) | −19.5524 | + | 15.1011i | −0.759352 | + | 0.586479i | ||||
\(664\) | −0.342252 | − | 0.0515861i | −0.0132819 | − | 0.00200193i | ||||
\(665\) | 2.53920 | − | 4.64234i | 0.0984660 | − | 0.180022i | ||||
\(666\) | −7.78824 | − | 39.7888i | −0.301788 | − | 1.54178i | ||||
\(667\) | 71.9991 | 2.78782 | ||||||||
\(668\) | 5.29969 | + | 9.17933i | 0.205051 | + | 0.355159i | ||||
\(669\) | −28.0632 | − | 2.54248i | −1.08499 | − | 0.0982980i | ||||
\(670\) | 7.82520 | + | 2.41375i | 0.302314 | + | 0.0932514i | ||||
\(671\) | −4.64786 | + | 3.16886i | −0.179429 | + | 0.122332i | ||||
\(672\) | 13.8762 | + | 28.2673i | 0.535286 | + | 1.09043i | ||||
\(673\) | 1.64246 | + | 1.11981i | 0.0633121 | + | 0.0431655i | 0.594563 | − | 0.804049i | \(-0.297325\pi\) |
−0.531250 | + | 0.847215i | \(0.678278\pi\) | |||||||
\(674\) | −2.47436 | − | 3.10274i | −0.0953086 | − | 0.119513i | ||||
\(675\) | −6.33326 | − | 24.5425i | −0.243767 | − | 0.944640i | ||||
\(676\) | −3.16588 | − | 13.8706i | −0.121765 | − | 0.533486i | ||||
\(677\) | −3.66608 | − | 48.9205i | −0.140899 | − | 1.88017i | −0.403103 | − | 0.915155i | \(-0.632068\pi\) |
0.262204 | − | 0.965012i | \(-0.415551\pi\) | |||||||
\(678\) | −3.07372 | + | 0.182325i | −0.118045 | + | 0.00700214i | ||||
\(679\) | 12.3388 | − | 11.9906i | 0.473521 | − | 0.460157i | ||||
\(680\) | −1.01662 | − | 0.313587i | −0.0389858 | − | 0.0120255i | ||||
\(681\) | 1.56692 | + | 2.37683i | 0.0600443 | + | 0.0910805i | ||||
\(682\) | −12.3042 | − | 1.85456i | −0.471153 | − | 0.0710149i | ||||
\(683\) | −3.32994 | + | 14.5894i | −0.127417 | + | 0.558249i | 0.870408 | + | 0.492330i | \(0.163855\pi\) |
−0.997825 | + | 0.0659183i | \(0.979002\pi\) | |||||||
\(684\) | −11.7836 | − | 21.9599i | −0.450558 | − | 0.839658i | ||||
\(685\) | 4.78032 | 0.182647 | ||||||||
\(686\) | −4.93956 | − | 34.0496i | −0.188593 | − | 1.30002i | ||||
\(687\) | −2.15392 | − | 0.526990i | −0.0821773 | − | 0.0201059i | ||||
\(688\) | −0.0554435 | + | 0.739842i | −0.00211376 | + | 0.0282062i | ||||
\(689\) | 44.4014 | + | 41.1985i | 1.69156 | + | 1.56954i | ||||
\(690\) | −7.27152 | + | 5.61609i | −0.276822 | + | 0.213801i | ||||
\(691\) | −17.0068 | + | 5.24591i | −0.646969 | + | 0.199564i | −0.600837 | − | 0.799372i | \(-0.705166\pi\) |
−0.0461326 | + | 0.998935i | \(0.514690\pi\) | |||||||
\(692\) | −3.86405 | − | 16.9295i | −0.146889 | − | 0.643564i | ||||
\(693\) | 2.88274 | − | 12.1793i | 0.109506 | − | 0.462652i | ||||
\(694\) | 10.7669 | − | 47.1730i | 0.408707 | − | 1.79066i | ||||
\(695\) | −0.132027 | − | 1.76178i | −0.00500808 | − | 0.0668281i | ||||
\(696\) | 13.3493 | + | 7.98657i | 0.506004 | + | 0.302730i | ||||
\(697\) | −2.08488 | + | 27.8208i | −0.0789706 | + | 1.05379i | ||||
\(698\) | −29.8601 | + | 4.50069i | −1.13022 | + | 0.170354i | ||||
\(699\) | 6.79496 | + | 7.55555i | 0.257009 | + | 0.285777i | ||||
\(700\) | −12.0126 | − | 14.3698i | −0.454032 | − | 0.543126i | ||||
\(701\) | −7.36269 | − | 3.54568i | −0.278085 | − | 0.133919i | 0.289643 | − | 0.957135i | \(-0.406463\pi\) |
−0.567728 | + | 0.823216i | \(0.692178\pi\) | |||||||
\(702\) | −21.9159 | + | 40.5538i | −0.827162 | + | 1.53060i | ||||
\(703\) | −25.9634 | − | 32.5571i | −0.979229 | − | 1.22791i | ||||
\(704\) | 2.50159 | + | 4.33289i | 0.0942823 | + | 0.163302i | ||||
\(705\) | 0.277203 | + | 0.950931i | 0.0104401 | + | 0.0358141i | ||||
\(706\) | −16.4840 | + | 2.48457i | −0.620385 | + | 0.0935079i | ||||
\(707\) | −25.3154 | − | 41.5991i | −0.952082 | − | 1.56449i | ||||
\(708\) | −0.721089 | − | 5.34709i | −0.0271002 | − | 0.200956i | ||||
\(709\) | 28.9822 | + | 4.36836i | 1.08845 | + | 0.164057i | 0.668663 | − | 0.743566i | \(-0.266867\pi\) |
0.419786 | + | 0.907623i | \(0.362105\pi\) | |||||||
\(710\) | 0.803355 | + | 0.386875i | 0.0301494 | + | 0.0145192i | ||||
\(711\) | 13.7008 | + | 18.3213i | 0.513819 | + | 0.687103i | ||||
\(712\) | −2.50676 | + | 3.14338i | −0.0939450 | + | 0.117803i | ||||
\(713\) | 34.3271 | + | 5.17397i | 1.28556 | + | 0.193767i | ||||
\(714\) | 23.6001 | − | 9.46821i | 0.883210 | − | 0.354339i | ||||
\(715\) | −2.60145 | + | 0.392105i | −0.0972887 | + | 0.0146639i | ||||
\(716\) | −10.8460 | + | 18.7857i | −0.405332 | + | 0.702056i | ||||
\(717\) | −10.4039 | − | 2.54546i | −0.388540 | − | 0.0950621i | ||||
\(718\) | 2.01964 | − | 5.14597i | 0.0753724 | − | 0.192046i | ||||
\(719\) | 3.82393 | + | 16.7537i | 0.142608 | + | 0.624808i | 0.994824 | + | 0.101617i | \(0.0324016\pi\) |
−0.852215 | + | 0.523191i | \(0.824741\pi\) | |||||||
\(720\) | −4.99210 | + | 0.594327i | −0.186045 | + | 0.0221493i | ||||
\(721\) | 21.3770 | − | 39.0829i | 0.796120 | − | 1.45552i | ||||
\(722\) | −21.1312 | − | 14.4070i | −0.786421 | − | 0.536173i | ||||
\(723\) | −49.8010 | − | 4.51190i | −1.85212 | − | 0.167799i | ||||
\(724\) | −1.25850 | + | 16.7935i | −0.0467718 | + | 0.624127i | ||||
\(725\) | −41.0647 | − | 12.6668i | −1.52511 | − | 0.470433i | ||||
\(726\) | −4.50368 | + | 27.0216i | −0.167147 | + | 1.00286i | ||||
\(727\) | 22.8580 | − | 7.05075i | 0.847756 | − | 0.261498i | 0.159709 | − | 0.987164i | \(-0.448945\pi\) |
0.688047 | + | 0.725666i | \(0.258468\pi\) | |||||||
\(728\) | 0.665753 | − | 12.8629i | 0.0246745 | − | 0.476729i | ||||
\(729\) | 25.3119 | − | 9.39727i | 0.937477 | − | 0.348047i | ||||
\(730\) | −1.63361 | + | 7.15730i | −0.0604625 | + | 0.264904i | ||||
\(731\) | 0.456864 | + | 0.0688612i | 0.0168977 | + | 0.00254692i | ||||
\(732\) | −8.95155 | + | 0.530982i | −0.330859 | + | 0.0196257i | ||||
\(733\) | −0.582668 | + | 7.77516i | −0.0215213 | + | 0.287182i | 0.976051 | + | 0.217542i | \(0.0698041\pi\) |
−0.997572 | + | 0.0696398i | \(0.977815\pi\) | |||||||
\(734\) | −9.67689 | + | 16.7609i | −0.357181 | + | 0.618655i | ||||
\(735\) | 4.15679 | + | 0.815718i | 0.153326 | + | 0.0300882i | ||||
\(736\) | −28.0792 | − | 48.6345i | −1.03501 | − | 1.79269i | ||||
\(737\) | 17.9241 | − | 8.63177i | 0.660241 | − | 0.317955i | ||||
\(738\) | 17.5020 | + | 49.0256i | 0.644259 | + | 1.80466i | ||||
\(739\) | 5.40474 | − | 6.77734i | 0.198817 | − | 0.249308i | −0.672422 | − | 0.740168i | \(-0.734746\pi\) |
0.871239 | + | 0.490860i | \(0.163317\pi\) | |||||||
\(740\) | 3.52472 | − | 1.08723i | 0.129571 | − | 0.0399674i | ||||
\(741\) | −0.736284 | + | 47.3397i | −0.0270481 | + | 1.73907i | ||||
\(742\) | −32.4103 | − | 53.2578i | −1.18982 | − | 1.95515i | ||||
\(743\) | −10.3630 | − | 9.61543i | −0.380180 | − | 0.352756i | 0.466816 | − | 0.884354i | \(-0.345401\pi\) |
−0.846996 | + | 0.531599i | \(0.821592\pi\) | |||||||
\(744\) | 5.79063 | + | 4.76706i | 0.212295 | + | 0.174769i | ||||
\(745\) | 3.16753 | − | 2.93904i | 0.116049 | − | 0.107678i | ||||
\(746\) | 23.2742 | − | 11.2083i | 0.852130 | − | 0.410364i | ||||
\(747\) | 0.195655 | + | 0.999568i | 0.00715864 | + | 0.0365723i | ||||
\(748\) | 6.15830 | − | 2.96568i | 0.225170 | − | 0.108436i | ||||
\(749\) | 6.41662 | − | 31.4424i | 0.234458 | − | 1.14888i | ||||
\(750\) | 10.3992 | − | 3.89587i | 0.379725 | − | 0.142257i | ||||
\(751\) | 9.14398 | + | 2.82055i | 0.333669 | + | 0.102923i | 0.457062 | − | 0.889435i | \(-0.348902\pi\) |
−0.123394 | + | 0.992358i | \(0.539378\pi\) | |||||||
\(752\) | −7.76300 | + | 1.17008i | −0.283087 | + | 0.0426686i | ||||
\(753\) | −8.79437 | − | 30.1686i | −0.320485 | − | 1.09940i | ||||
\(754\) | 39.0777 | + | 67.6845i | 1.42312 | + | 2.46492i | ||||
\(755\) | −1.55391 | − | 1.94854i | −0.0565526 | − | 0.0709147i | ||||
\(756\) | 13.9112 | − | 14.3015i | 0.505946 | − | 0.520140i | ||||
\(757\) | −30.8460 | + | 38.6797i | −1.12112 | + | 1.40584i | −0.218264 | + | 0.975890i | \(0.570039\pi\) |
−0.902854 | + | 0.429948i | \(0.858532\pi\) | |||||||
\(758\) | −43.3114 | − | 6.52814i | −1.57314 | − | 0.237113i | ||||
\(759\) | −3.66955 | + | 22.0169i | −0.133196 | + | 0.799162i | ||||
\(760\) | −1.68459 | + | 1.14854i | −0.0611066 | + | 0.0416618i | ||||
\(761\) | −1.73530 | − | 4.42148i | −0.0629047 | − | 0.160279i | 0.895965 | − | 0.444124i | \(-0.146485\pi\) |
−0.958870 | + | 0.283845i | \(0.908390\pi\) | |||||||
\(762\) | −5.89266 | − | 43.6958i | −0.213469 | − | 1.58293i | ||||
\(763\) | 22.0383 | + | 26.3629i | 0.797840 | + | 0.954400i | ||||
\(764\) | 0.131333 | + | 0.164686i | 0.00475145 | + | 0.00595813i | ||||
\(765\) | 0.136758 | + | 3.12777i | 0.00494449 | + | 0.113085i | ||||
\(766\) | 20.0438 | 0.724211 | ||||||||
\(767\) | −3.74481 | + | 9.54163i | −0.135217 | + | 0.344528i | ||||
\(768\) | 0.563674 | − | 36.2417i | 0.0203398 | − | 1.30776i | ||||
\(769\) | −39.3143 | + | 26.8040i | −1.41771 | + | 0.966577i | −0.419439 | + | 0.907784i | \(0.637773\pi\) |
−0.998270 | + | 0.0587938i | \(0.981275\pi\) | |||||||
\(770\) | 2.68623 | + | 0.341664i | 0.0968052 | + | 0.0123127i | ||||
\(771\) | −34.5212 | + | 7.31635i | −1.24325 | + | 0.263492i | ||||
\(772\) | −5.87562 | + | 14.9708i | −0.211468 | + | 0.538812i | ||||
\(773\) | 27.2108 | − | 13.1040i | 0.978703 | − | 0.471319i | 0.125044 | − | 0.992151i | \(-0.460093\pi\) |
0.853659 | + | 0.520833i | \(0.174378\pi\) | |||||||
\(774\) | 0.831289 | − | 0.228362i | 0.0298801 | − | 0.00820832i | ||||
\(775\) | −18.6682 | − | 8.99013i | −0.670581 | − | 0.322935i | ||||
\(776\) | −6.33497 | + | 1.95408i | −0.227412 | + | 0.0701474i | ||||
\(777\) | 18.5713 | − | 27.6850i | 0.666240 | − | 0.993194i | ||||
\(778\) | −7.83889 | − | 2.41798i | −0.281038 | − | 0.0866887i | ||||
\(779\) | 39.1934 | + | 36.3662i | 1.40425 | + | 1.30295i | ||||
\(780\) | −3.87959 | − | 1.59269i | −0.138912 | − | 0.0570274i | ||||
\(781\) | 2.06993 | − | 0.638490i | 0.0740680 | − | 0.0228470i | ||||
\(782\) | −40.8582 | + | 19.6763i | −1.46109 | + | 0.703622i | ||||
\(783\) | 8.92651 | − | 44.8987i | 0.319007 | − | 1.60455i | ||||
\(784\) | −10.8105 | + | 31.7867i | −0.386088 | + | 1.13524i | ||||
\(785\) | −0.828922 | − | 1.43573i | −0.0295855 | − | 0.0512436i | ||||
\(786\) | 5.80510 | + | 6.45490i | 0.207061 | + | 0.230239i | ||||
\(787\) | 3.64656 | + | 3.38352i | 0.129986 | + | 0.120609i | 0.742487 | − | 0.669860i | \(-0.233646\pi\) |
−0.612501 | + | 0.790470i | \(0.709837\pi\) | |||||||
\(788\) | 8.40871 | + | 21.4251i | 0.299548 | + | 0.763236i | ||||
\(789\) | −14.5208 | − | 22.0265i | −0.516956 | − | 0.784164i | ||||
\(790\) | −3.62840 | + | 3.36666i | −0.129093 | + | 0.119780i | ||||
\(791\) | −1.89519 | − | 1.67875i | −0.0673853 | − | 0.0596894i | ||||
\(792\) | −3.12261 | + | 3.67509i | −0.110957 | + | 0.130589i | ||||
\(793\) | 15.3487 | + | 7.39154i | 0.545048 | + | 0.262481i | ||||
\(794\) | −10.7597 | + | 9.98354i | −0.381847 | + | 0.354303i | ||||
\(795\) | 7.50904 | − | 1.59145i | 0.266318 | − | 0.0564430i | ||||
\(796\) | 0.724925 | − | 0.109265i | 0.0256943 | − | 0.00387279i | ||||
\(797\) | −0.834828 | + | 11.1400i | −0.0295711 | + | 0.394599i | 0.962705 | + | 0.270552i | \(0.0872064\pi\) |
−0.992276 | + | 0.124047i | \(0.960413\pi\) | |||||||
\(798\) | 14.0127 | − | 46.6739i | 0.496043 | − | 1.65224i | ||||
\(799\) | 0.365354 | + | 4.87531i | 0.0129253 | + | 0.172476i | ||||
\(800\) | 7.45869 | + | 32.6787i | 0.263705 | + | 1.15537i | ||||
\(801\) | 11.1919 | + | 3.83729i | 0.395445 | + | 0.135584i | ||||
\(802\) | 16.1603 | 0.570641 | ||||||||
\(803\) | 8.91747 | + | 15.4455i | 0.314691 | + | 0.545060i | ||||
\(804\) | 31.5838 | + | 2.86145i | 1.11388 | + | 0.100915i | ||||
\(805\) | −7.49422 | − | 0.953196i | −0.264137 | − | 0.0335958i | ||||
\(806\) | 13.7672 | + | 35.0782i | 0.484928 | + | 1.23558i | ||||
\(807\) | −17.5512 | − | 7.20531i | −0.617833 | − | 0.253639i | ||||
\(808\) | 1.40221 | + | 18.7112i | 0.0493295 | + | 0.658256i | ||||
\(809\) | −37.2727 | − | 17.9496i | −1.31044 | − | 0.631074i | −0.357409 | − | 0.933948i | \(-0.616340\pi\) |
−0.953031 | + | 0.302874i | \(0.902054\pi\) | |||||||
\(810\) | 2.60066 | + | 5.23080i | 0.0913780 | + | 0.183792i | ||||
\(811\) | 8.99796 | − | 11.2831i | 0.315961 | − | 0.396203i | −0.598337 | − | 0.801245i | \(-0.704172\pi\) |
0.914298 | + | 0.405042i | \(0.132743\pi\) | |||||||
\(812\) | −8.28647 | − | 32.7959i | −0.290798 | − | 1.15091i | ||||
\(813\) | −11.3556 | + | 16.1115i | −0.398259 | + | 0.565054i | ||||
\(814\) | 10.6552 | − | 18.4553i | 0.373464 | − | 0.646859i | ||||
\(815\) | −3.08567 | + | 5.34454i | −0.108086 | + | 0.187211i | ||||
\(816\) | −24.7129 | − | 2.23895i | −0.865123 | − | 0.0783788i | ||||
\(817\) | 0.649071 | − | 0.602250i | 0.0227081 | − | 0.0210701i | ||||
\(818\) | −3.37837 | − | 1.62694i | −0.118122 | − | 0.0568846i | ||||
\(819\) | −36.3073 | + | 10.8814i | −1.26868 | + | 0.380226i | ||||
\(820\) | −4.26694 | + | 2.05485i | −0.149008 | + | 0.0717585i | ||||
\(821\) | 12.0946 | − | 30.8166i | 0.422105 | − | 1.07551i | −0.548781 | − | 0.835966i | \(-0.684908\pi\) |
0.970886 | − | 0.239541i | \(-0.0769969\pi\) | |||||||
\(822\) | 43.0685 | − | 9.12785i | 1.50219 | − | 0.318370i | ||||
\(823\) | −3.48523 | − | 1.07505i | −0.121488 | − | 0.0374739i | 0.233415 | − | 0.972377i | \(-0.425010\pi\) |
−0.354903 | + | 0.934903i | \(0.615486\pi\) | |||||||
\(824\) | −14.1822 | + | 9.66927i | −0.494061 | + | 0.336845i | ||||
\(825\) | 5.96635 | − | 11.9118i | 0.207722 | − | 0.414714i | ||||
\(826\) | 6.38586 | − | 8.39826i | 0.222192 | − | 0.292213i | ||||
\(827\) | 0.202774 | + | 0.888410i | 0.00705114 | + | 0.0308931i | 0.978331 | − | 0.207046i | \(-0.0663851\pi\) |
−0.971280 | + | 0.237940i | \(0.923528\pi\) | |||||||
\(828\) | −23.0388 | + | 27.1150i | −0.800655 | + | 0.942313i | ||||
\(829\) | 34.3414 | − | 43.0628i | 1.19273 | − | 1.49563i | 0.368258 | − | 0.929723i | \(-0.379954\pi\) |
0.824468 | − | 0.565908i | \(-0.191474\pi\) | |||||||
\(830\) | −0.210577 | + | 0.0649545i | −0.00730925 | + | 0.00225460i | ||||
\(831\) | −6.80228 | + | 20.8932i | −0.235969 | + | 0.724776i | ||||
\(832\) | 7.57584 | − | 13.1217i | 0.262645 | − | 0.454914i | ||||
\(833\) | 19.2365 | + | 8.19261i | 0.666507 | + | 0.283857i | ||||
\(834\) | −4.55356 | − | 15.6207i | −0.157677 | − | 0.540902i | ||||
\(835\) | −2.10839 | − | 1.43747i | −0.0729638 | − | 0.0497459i | ||||
\(836\) | 2.91484 | − | 12.7707i | 0.100812 | − | 0.441686i | ||||
\(837\) | 7.48239 | − | 20.7649i | 0.258629 | − | 0.717739i | ||||
\(838\) | −9.61383 | + | 42.1209i | −0.332104 | + | 1.45504i | ||||
\(839\) | −26.3395 | + | 24.4395i | −0.909339 | + | 0.843744i | −0.988204 | − | 0.153142i | \(-0.951061\pi\) |
0.0788650 | + | 0.996885i | \(0.474870\pi\) | |||||||
\(840\) | −1.28376 | − | 1.00804i | −0.0442941 | − | 0.0347805i | ||||
\(841\) | −35.6364 | − | 33.0658i | −1.22884 | − | 1.14020i | ||||
\(842\) | −2.99520 | + | 2.04209i | −0.103221 | + | 0.0703752i | ||||
\(843\) | −41.2634 | − | 24.6869i | −1.42119 | − | 0.850262i | ||||
\(844\) | 14.9184 | + | 10.1712i | 0.513514 | + | 0.350108i | ||||
\(845\) | 2.13559 | + | 2.67794i | 0.0734665 | + | 0.0921241i | ||||
\(846\) | 4.31325 | + | 8.03814i | 0.148292 | + | 0.276357i | ||||
\(847\) | −18.3130 | + | 13.1150i | −0.629242 | + | 0.450635i | ||||
\(848\) | 4.54642 | + | 60.6678i | 0.156125 | + | 2.08334i | ||||
\(849\) | −0.183000 | + | 11.7661i | −0.00628055 | + | 0.403811i | ||||
\(850\) | 26.7651 | − | 4.03419i | 0.918036 | − | 0.138372i | ||||
\(851\) | −29.7265 | + | 51.4878i | −1.01901 | + | 1.76498i | ||||
\(852\) | 3.35414 | + | 0.820642i | 0.114911 | + | 0.0281147i | ||||
\(853\) | 10.5961 | − | 26.9985i | 0.362804 | − | 0.924410i | −0.626615 | − | 0.779329i | \(-0.715560\pi\) |
0.989420 | − | 0.145082i | \(-0.0463444\pi\) | |||||||
\(854\) | −13.1257 | − | 11.6267i | −0.449153 | − | 0.397856i | ||||
\(855\) | 4.84982 | + | 3.53238i | 0.165860 | + | 0.120805i | ||||
\(856\) | −7.70946 | + | 9.66736i | −0.263504 | + | 0.330424i | ||||
\(857\) | 2.05846 | + | 27.4683i | 0.0703158 | + | 0.938299i | 0.915109 | + | 0.403206i | \(0.132104\pi\) |
−0.844793 | + | 0.535093i | \(0.820277\pi\) | |||||||
\(858\) | −22.6891 | + | 8.50006i | −0.774595 | + | 0.290187i | ||||
\(859\) | −19.6381 | − | 50.0370i | −0.670042 | − | 1.70724i | −0.706314 | − | 0.707898i | \(-0.749644\pi\) |
0.0362721 | − | 0.999342i | \(-0.488452\pi\) | |||||||
\(860\) | 0.0286539 | + | 0.0730090i | 0.000977091 | + | 0.00248959i | ||||
\(861\) | −18.2803 | + | 38.7028i | −0.622990 | + | 1.31899i | ||||
\(862\) | 3.62673 | − | 9.24075i | 0.123527 | − | 0.314741i | ||||
\(863\) | 3.35679 | 0.114266 | 0.0571332 | − | 0.998367i | \(-0.481804\pi\) | ||||
0.0571332 | + | 0.998367i | \(0.481804\pi\) | |||||||
\(864\) | −33.8098 | + | 11.4804i | −1.15023 | + | 0.390572i | ||||
\(865\) | 2.60655 | + | 3.26851i | 0.0886254 | + | 0.111133i | ||||
\(866\) | −29.7991 | + | 27.6495i | −1.01261 | + | 0.939568i | ||||
\(867\) | 2.30031 | − | 13.8016i | 0.0781228 | − | 0.468728i | ||||
\(868\) | −1.59398 | − | 16.2316i | −0.0541030 | − | 0.550937i | ||||
\(869\) | −0.898609 | + | 11.9911i | −0.0304832 | + | 0.406770i | ||||
\(870\) | 9.86387 | + | 0.893651i | 0.334417 | + | 0.0302976i | ||||
\(871\) | −49.7790 | − | 33.9387i | −1.68670 | − | 1.14997i | ||||
\(872\) | −2.94617 | − | 12.9080i | −0.0997698 | − | 0.437120i | ||||
\(873\) | 11.6834 | + | 15.6236i | 0.395423 | + | 0.528779i | ||||
\(874\) | −19.3390 | + | 84.7295i | −0.654150 | + | 2.86602i | ||||
\(875\) | 8.31604 | + | 3.77082i | 0.281133 | + | 0.127477i | ||||
\(876\) | −0.442132 | + | 28.4271i | −0.0149383 | + | 0.960463i | ||||
\(877\) | −33.8863 | − | 31.4419i | −1.14426 | − | 1.06172i | −0.997364 | − | 0.0725656i | \(-0.976881\pi\) |
−0.146896 | − | 0.989152i | \(-0.546928\pi\) | |||||||
\(878\) | −24.3274 | − | 61.9852i | −0.821009 | − | 2.09190i | ||||
\(879\) | −10.9145 | + | 21.7907i | −0.368137 | + | 0.734982i | ||||
\(880\) | −2.18329 | − | 1.48854i | −0.0735986 | − | 0.0501787i | ||||
\(881\) | 33.1935 | 1.11832 | 0.559159 | − | 0.829061i | \(-0.311124\pi\) | ||||
0.559159 | + | 0.829061i | \(0.311124\pi\) | |||||||
\(882\) | 39.0084 | − | 0.587995i | 1.31348 | − | 0.0197988i | ||||
\(883\) | −55.1260 | −1.85514 | −0.927569 | − | 0.373653i | \(-0.878105\pi\) | ||||
−0.927569 | + | 0.373653i | \(0.878105\pi\) | |||||||
\(884\) | −17.1029 | − | 11.6606i | −0.575234 | − | 0.392188i | ||||
\(885\) | 0.714951 | + | 1.08450i | 0.0240328 | + | 0.0364551i | ||||
\(886\) | 7.89504 | + | 20.1162i | 0.265239 | + | 0.675818i | ||||
\(887\) | 5.56108 | + | 5.15993i | 0.186723 | + | 0.173254i | 0.767995 | − | 0.640456i | \(-0.221254\pi\) |
−0.581272 | + | 0.813709i | \(0.697445\pi\) | |||||||
\(888\) | −11.2229 | + | 6.24888i | −0.376616 | + | 0.209699i | ||||
\(889\) | 21.9435 | − | 28.8587i | 0.735962 | − | 0.967889i | ||||
\(890\) | −0.569612 | + | 2.49563i | −0.0190934 | + | 0.0836539i | ||||
\(891\) | 13.2748 | + | 5.01800i | 0.444722 | + | 0.168109i | ||||
\(892\) | −5.25367 | − | 23.0178i | −0.175906 | − | 0.770693i | ||||
\(893\) | 7.74134 | + | 5.27796i | 0.259054 | + | 0.176620i | ||||
\(894\) | 22.9260 | − | 32.5277i | 0.766761 | − | 1.08789i | ||||
\(895\) | 0.390263 | − | 5.20770i | 0.0130451 | − | 0.174074i | ||||
\(896\) | 14.8921 | − | 14.4718i | 0.497510 | − | 0.483470i | ||||
\(897\) | 63.2996 | − | 23.7140i | 2.11351 | − | 0.791787i | ||||
\(898\) | 9.48615 | − | 8.80186i | 0.316557 | − | 0.293722i | ||||
\(899\) | −23.3322 | − | 29.2577i | −0.778172 | − | 0.975797i | ||||
\(900\) | 17.9105 | − | 11.4119i | 0.597018 | − | 0.380395i | ||||
\(901\) | 37.8865 | 1.26218 | ||||||||
\(902\) | −9.99622 | + | 25.4699i | −0.332838 | + | 0.848056i | ||||
\(903\) | 0.616531 | + | 0.349786i | 0.0205169 | + | 0.0116401i | ||||
\(904\) | 0.356406 | + | 0.908107i | 0.0118539 | + | 0.0302032i | ||||
\(905\) | −1.48123 | − | 3.77410i | −0.0492376 | − | 0.125455i | ||||
\(906\) | −17.7207 | − | 14.5883i | −0.588730 | − | 0.484665i | ||||
\(907\) | 0.385286 | + | 5.14129i | 0.0127932 | + | 0.170714i | 0.999941 | + | 0.0109010i | \(0.00346996\pi\) |
−0.987147 | + | 0.159813i | \(0.948911\pi\) | |||||||
\(908\) | −1.48721 | + | 1.86491i | −0.0493550 | + | 0.0618892i | ||||
\(909\) | 50.4695 | − | 22.3989i | 1.67397 | − | 0.742925i | ||||
\(910\) | −3.17143 | − | 7.56247i | −0.105132 | − | 0.250693i | ||||
\(911\) | 7.77299 | − | 19.8053i | 0.257531 | − | 0.656178i | −0.742374 | − | 0.669986i | \(-0.766300\pi\) |
0.999905 | + | 0.0138082i | \(0.00439541\pi\) | |||||||
\(912\) | −32.8834 | + | 34.3526i | −1.08888 | + | 1.13753i | ||||
\(913\) | −0.267678 | + | 0.463632i | −0.00885885 | + | 0.0153440i | ||||
\(914\) | 17.1074 | − | 2.57853i | 0.565863 | − | 0.0852901i | ||||
\(915\) | 1.88619 | − | 1.05023i | 0.0623556 | − | 0.0347194i | ||||
\(916\) | −0.138845 | − | 1.85276i | −0.00458756 | − | 0.0612168i | ||||
\(917\) | −0.368961 | + | 7.12860i | −0.0121842 | + | 0.235407i | ||||
\(918\) | 7.20449 | + | 27.9187i | 0.237784 | + | 0.921453i | ||||
\(919\) | 33.3899 | + | 41.8696i | 1.10143 | + | 1.38115i | 0.917275 | + | 0.398254i | \(0.130384\pi\) |
0.184156 | + | 0.982897i | \(0.441045\pi\) | |||||||
\(920\) | 2.40512 | + | 1.63978i | 0.0792943 | + | 0.0540620i | ||||
\(921\) | −30.0920 | + | 16.7551i | −0.991563 | + | 0.552100i | ||||
\(922\) | −25.0211 | + | 17.0591i | −0.824026 | + | 0.561812i | ||||
\(923\) | −4.80885 | − | 4.46196i | −0.158285 | − | 0.146867i | ||||
\(924\) | 10.4511 | − | 0.862454i | 0.343817 | − | 0.0283727i | ||||
\(925\) | 26.0127 | − | 24.1363i | 0.855294 | − | 0.793597i | ||||
\(926\) | 5.08979 | − | 22.2998i | 0.167261 | − | 0.732818i | ||||
\(927\) | 40.8296 | + | 29.7384i | 1.34102 | + | 0.976737i | ||||
\(928\) | −13.4709 | + | 59.0199i | −0.442204 | + | 1.93742i | ||||
\(929\) | −9.46628 | − | 6.45400i | −0.310579 | − | 0.211749i | 0.397992 | − | 0.917389i | \(-0.369707\pi\) |
−0.708570 | + | 0.705640i | \(0.750660\pi\) | |||||||
\(930\) | 4.63858 | + | 1.13490i | 0.152105 | + | 0.0372148i | ||||
\(931\) | 35.2604 | − | 19.0334i | 1.15561 | − | 0.623796i | ||||
\(932\) | −4.25707 | + | 7.37346i | −0.139445 | + | 0.241526i | ||||
\(933\) | 23.6511 | − | 5.01256i | 0.774302 | − | 0.164104i | ||||
\(934\) | 26.6070 | − | 8.20717i | 0.870608 | − | 0.268547i | ||||
\(935\) | −1.02599 | + | 1.28656i | −0.0335536 | + | 0.0420749i | ||||
\(936\) | 14.3668 | + | 2.62477i | 0.469595 | + | 0.0857933i | ||||
\(937\) | 9.55923 | + | 41.8817i | 0.312286 | + | 1.36822i | 0.850751 | + | 0.525568i | \(0.176147\pi\) |
−0.538465 | + | 0.842648i | \(0.680996\pi\) | |||||||
\(938\) | 39.7728 | + | 47.5774i | 1.29863 | + | 1.55346i | ||||
\(939\) | 7.09591 | + | 10.7637i | 0.231566 | + | 0.351260i | ||||
\(940\) | −0.685716 | + | 0.467513i | −0.0223656 | + | 0.0152486i | ||||
\(941\) | 12.3524 | + | 3.81023i | 0.402678 | + | 0.124210i | 0.489477 | − | 0.872016i | \(-0.337188\pi\) |
−0.0867990 | + | 0.996226i | \(0.527664\pi\) | |||||||
\(942\) | −10.2097 | − | 11.3525i | −0.332650 | − | 0.369885i | ||||
\(943\) | 27.8881 | − | 71.0576i | 0.908160 | − | 2.31396i | ||||
\(944\) | −9.27585 | + | 4.46701i | −0.301903 | + | 0.145389i | ||||
\(945\) | −1.52355 | + | 4.55522i | −0.0495612 | + | 0.148181i | ||||
\(946\) | 0.408250 | + | 0.196603i | 0.0132734 | + | 0.00639211i | ||||
\(947\) | −14.8333 | + | 13.7633i | −0.482017 | + | 0.447246i | −0.883369 | − | 0.468677i | \(-0.844731\pi\) |
0.401353 | + | 0.915924i | \(0.368540\pi\) | |||||||
\(948\) | −11.0430 | + | 15.6679i | −0.358660 | + | 0.508871i | ||||
\(949\) | 27.0057 | − | 46.7753i | 0.876643 | − | 1.51839i | ||||
\(950\) | 25.9364 | − | 44.9232i | 0.841488 | − | 1.45750i | ||||
\(951\) | −26.6218 | − | 2.41189i | −0.863270 | − | 0.0782109i | ||||
\(952\) | −5.16716 | − | 6.18110i | −0.167469 | − | 0.200331i | ||||
\(953\) | 7.38607 | − | 9.26184i | 0.239258 | − | 0.300020i | −0.647676 | − | 0.761916i | \(-0.724259\pi\) |
0.886934 | + | 0.461895i | \(0.152830\pi\) | |||||||
\(954\) | 64.6142 | − | 28.6765i | 2.09196 | − | 0.928436i | ||||
\(955\) | −0.0456896 | − | 0.0220030i | −0.00147848 | − | 0.000711999i | ||||
\(956\) | −0.670647 | − | 8.94917i | −0.0216903 | − | 0.289437i | ||||
\(957\) | 19.0428 | − | 14.7076i | 0.615567 | − | 0.475428i | ||||
\(958\) | 10.5291 | + | 26.8278i | 0.340181 | + | 0.866767i | ||||
\(959\) | 30.3721 | + | 19.6959i | 0.980768 | + | 0.636014i | ||||
\(960\) | −0.806098 | − | 1.74270i | −0.0260167 | − | 0.0562454i | ||||
\(961\) | 6.47840 | + | 11.2209i | 0.208981 | + | 0.361965i | ||||
\(962\) | −64.5364 | −2.08074 | ||||||||
\(963\) | 34.4202 | + | 11.8014i | 1.10918 | + | 0.380296i | ||||
\(964\) | −9.32317 | − | 40.8475i | −0.300279 | − | 1.31561i | ||||
\(965\) | −0.289345 | − | 3.86104i | −0.00931434 | − | 0.124291i | ||||
\(966\) | −69.3396 | + | 5.72209i | −2.23097 | + | 0.184105i | ||||
\(967\) | −2.73226 | + | 36.4595i | −0.0878635 | + | 1.17246i | 0.762760 | + | 0.646682i | \(0.223844\pi\) |
−0.850623 | + | 0.525775i | \(0.823775\pi\) | |||||||
\(968\) | 8.58227 | − | 1.29357i | 0.275845 | − | 0.0415769i | ||||
\(969\) | 19.8028 | + | 22.0194i | 0.636157 | + | 0.707366i | ||||
\(970\) | −3.09414 | + | 2.87094i | −0.0993468 | + | 0.0921804i | ||||
\(971\) | 29.1930 | + | 14.0586i | 0.936847 | + | 0.451162i | 0.839056 | − | 0.544045i | \(-0.183108\pi\) |
0.0977914 | + | 0.995207i | \(0.468822\pi\) | |||||||
\(972\) | 14.0526 | + | 17.7288i | 0.450736 | + | 0.568650i | ||||
\(973\) | 6.42006 | − | 11.7376i | 0.205818 | − | 0.376290i | ||||
\(974\) | −24.4560 | + | 22.6918i | −0.783620 | + | 0.727093i | ||||
\(975\) | −40.2749 | + | 2.38900i | −1.28983 | + | 0.0765092i | ||||
\(976\) | 6.25133 | + | 15.9281i | 0.200100 | + | 0.509847i | ||||
\(977\) | −16.2798 | − | 15.1054i | −0.520836 | − | 0.483265i | 0.375387 | − | 0.926868i | \(-0.377510\pi\) |
−0.896224 | + | 0.443603i | \(0.853700\pi\) | |||||||
\(978\) | −17.5953 | + | 54.0438i | −0.562635 | + | 1.72813i | ||||
\(979\) | 3.10938 | + | 5.38560i | 0.0993761 | + | 0.172125i | ||||
\(980\) | 0.428334 | + | 3.52336i | 0.0136826 | + | 0.112550i | ||||
\(981\) | −32.8588 | + | 20.9363i | −1.04910 | + | 0.668443i | ||||
\(982\) | −0.307801 | + | 0.148229i | −0.00982234 | + | 0.00473019i | ||||
\(983\) | −38.7927 | + | 11.9660i | −1.23730 | + | 0.381655i | −0.843293 | − | 0.537454i | \(-0.819386\pi\) |
−0.394003 | + | 0.919109i | \(0.628910\pi\) | |||||||
\(984\) | 13.0528 | − | 10.0812i | 0.416109 | − | 0.321378i | ||||
\(985\) | −4.06191 | − | 3.76890i | −0.129423 | − | 0.120087i | ||||
\(986\) | 46.7138 | + | 14.4093i | 1.48767 | + | 0.458885i | ||||
\(987\) | −2.15680 | + | 7.18395i | −0.0686518 | + | 0.228668i | ||||
\(988\) | −37.9072 | + | 11.6928i | −1.20599 | + | 0.371998i | ||||
\(989\) | −1.13896 | − | 0.548495i | −0.0362169 | − | 0.0174411i | ||||
\(990\) | −0.776000 | + | 2.97076i | −0.0246629 | + | 0.0944171i | ||||
\(991\) | −9.28717 | + | 4.47246i | −0.295017 | + | 0.142072i | −0.575537 | − | 0.817775i | \(-0.695207\pi\) |
0.280521 | + | 0.959848i | \(0.409493\pi\) | |||||||
\(992\) | −10.6638 | + | 27.1709i | −0.338576 | + | 0.862677i | ||||
\(993\) | −3.49089 | + | 10.7222i | −0.110780 | + | 0.340260i | ||||
\(994\) | 3.51017 | + | 5.76803i | 0.111336 | + | 0.182951i | ||||
\(995\) | −0.145828 | + | 0.0994239i | −0.00462306 | + | 0.00315195i | ||||
\(996\) | −0.745619 | + | 0.415158i | −0.0236258 | + | 0.0131548i | ||||
\(997\) | −15.0219 | + | 38.2751i | −0.475747 | + | 1.21218i | 0.468652 | + | 0.883383i | \(0.344740\pi\) |
−0.944399 | + | 0.328802i | \(0.893355\pi\) | |||||||
\(998\) | 23.2485 | 0.735919 | ||||||||
\(999\) | 28.4223 | + | 24.9209i | 0.899241 | + | 0.788464i |
(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 | 441.2.ba.a.22.11 | ✓ | 648 | |
9.7 | even | 3 | inner | 441.2.ba.a.169.11 | yes | 648 | |
49.29 | even | 7 | inner | 441.2.ba.a.274.11 | yes | 648 | |
441.421 | even | 21 | inner | 441.2.ba.a.421.11 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.ba.a.22.11 | ✓ | 648 | 1.1 | even | 1 | trivial | |
441.2.ba.a.169.11 | yes | 648 | 9.7 | even | 3 | inner | |
441.2.ba.a.274.11 | yes | 648 | 49.29 | even | 7 | inner | |
441.2.ba.a.421.11 | yes | 648 | 441.421 | even | 21 | inner |