Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,3,Mod(3,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.f (of order \(18\), degree \(6\), 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: | \(1.03542500457\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 15.3 | ||
Character | \(\chi\) | \(=\) | 38.15 |
Dual form | 38.3.f.a.33.3 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.483690 | − | 1.32893i | 0.241845 | − | 0.664463i | ||||
\(3\) | −0.173101 | + | 0.0305223i | −0.0577002 | + | 0.0101741i | −0.202424 | − | 0.979298i | \(-0.564882\pi\) |
0.144724 | + | 0.989472i | \(0.453771\pi\) | |||||||
\(4\) | −1.53209 | − | 1.28558i | −0.383022 | − | 0.321394i | ||||
\(5\) | 6.04513 | − | 5.07246i | 1.20903 | − | 1.01449i | 0.209700 | − | 0.977766i | \(-0.432751\pi\) |
0.999325 | − | 0.0367272i | \(-0.0116933\pi\) | |||||||
\(6\) | −0.0431650 | + | 0.244801i | −0.00719417 | + | 0.0408002i | ||||
\(7\) | −3.82954 | + | 6.63297i | −0.547078 | + | 0.947566i | 0.451395 | + | 0.892324i | \(0.350926\pi\) |
−0.998473 | + | 0.0552423i | \(0.982407\pi\) | |||||||
\(8\) | −2.44949 | + | 1.41421i | −0.306186 | + | 0.176777i | ||||
\(9\) | −8.42820 | + | 3.06761i | −0.936467 | + | 0.340846i | ||||
\(10\) | −3.81697 | − | 10.4870i | −0.381697 | − | 1.04870i | ||||
\(11\) | 7.09172 | + | 12.2832i | 0.644702 | + | 1.11666i | 0.984370 | + | 0.176111i | \(0.0563518\pi\) |
−0.339668 | + | 0.940545i | \(0.610315\pi\) | |||||||
\(12\) | 0.304444 | + | 0.175771i | 0.0253703 | + | 0.0146476i | ||||
\(13\) | 6.69619 | + | 1.18072i | 0.515092 | + | 0.0908246i | 0.425151 | − | 0.905123i | \(-0.360221\pi\) |
0.0899409 | + | 0.995947i | \(0.471332\pi\) | |||||||
\(14\) | 6.96241 | + | 8.29748i | 0.497315 | + | 0.592677i | ||||
\(15\) | −0.891592 | + | 1.06256i | −0.0594394 | + | 0.0708372i | ||||
\(16\) | 0.694593 | + | 3.93923i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −16.4686 | − | 5.99408i | −0.968741 | − | 0.352593i | −0.191288 | − | 0.981534i | \(-0.561266\pi\) |
−0.777453 | + | 0.628941i | \(0.783489\pi\) | |||||||
\(18\) | 12.6842i | 0.704679i | ||||||||
\(19\) | −4.02423 | − | 18.5689i | −0.211802 | − | 0.977313i | ||||
\(20\) | −15.7827 | −0.789135 | ||||||||
\(21\) | 0.460443 | − | 1.26506i | 0.0219258 | − | 0.0602408i | ||||
\(22\) | 19.7537 | − | 3.48311i | 0.897895 | − | 0.158323i | ||||
\(23\) | 4.48261 | + | 3.76136i | 0.194896 | + | 0.163537i | 0.735014 | − | 0.678052i | \(-0.237176\pi\) |
−0.540117 | + | 0.841590i | \(0.681620\pi\) | |||||||
\(24\) | 0.380843 | − | 0.319565i | 0.0158685 | − | 0.0133152i | ||||
\(25\) | 6.47247 | − | 36.7072i | 0.258899 | − | 1.46829i | ||||
\(26\) | 4.80797 | − | 8.32764i | 0.184922 | − | 0.320294i | ||||
\(27\) | 2.73529 | − | 1.57922i | 0.101307 | − | 0.0584897i | ||||
\(28\) | 14.3944 | − | 5.23913i | 0.514085 | − | 0.187112i | ||||
\(29\) | 3.32345 | + | 9.13111i | 0.114602 | + | 0.314866i | 0.983712 | − | 0.179753i | \(-0.0575299\pi\) |
−0.869110 | + | 0.494619i | \(0.835308\pi\) | |||||||
\(30\) | 0.980807 | + | 1.69881i | 0.0326936 | + | 0.0566269i | ||||
\(31\) | −11.0964 | − | 6.40652i | −0.357949 | − | 0.206662i | 0.310232 | − | 0.950661i | \(-0.399593\pi\) |
−0.668181 | + | 0.743999i | \(0.732927\pi\) | |||||||
\(32\) | 5.57091 | + | 0.982302i | 0.174091 | + | 0.0306970i | ||||
\(33\) | −1.60249 | − | 1.90978i | −0.0485604 | − | 0.0578720i | ||||
\(34\) | −15.9314 | + | 18.9863i | −0.468570 | + | 0.558420i | ||||
\(35\) | 10.4954 | + | 59.5224i | 0.299868 | + | 1.70064i | ||||
\(36\) | 16.8564 | + | 6.13523i | 0.468233 | + | 0.170423i | ||||
\(37\) | − | 64.6675i | − | 1.74777i | −0.486133 | − | 0.873885i | \(-0.661593\pi\) | ||
0.486133 | − | 0.873885i | \(-0.338407\pi\) | |||||||
\(38\) | −26.6232 | − | 3.63370i | −0.700611 | − | 0.0956236i | ||||
\(39\) | −1.19515 | −0.0306449 | ||||||||
\(40\) | −7.63393 | + | 20.9741i | −0.190848 | + | 0.524351i | ||||
\(41\) | 60.3857 | − | 10.6476i | 1.47282 | − | 0.259698i | 0.621116 | − | 0.783718i | \(-0.286679\pi\) |
0.851706 | + | 0.524020i | \(0.175568\pi\) | |||||||
\(42\) | −1.45845 | − | 1.22379i | −0.0347251 | − | 0.0291378i | ||||
\(43\) | −42.7426 | + | 35.8653i | −0.994014 | + | 0.834077i | −0.986144 | − | 0.165892i | \(-0.946950\pi\) |
−0.00787020 | + | 0.999969i | \(0.502505\pi\) | |||||||
\(44\) | 4.92586 | − | 27.9359i | 0.111951 | − | 0.634907i | ||||
\(45\) | −35.3892 | + | 61.2959i | −0.786426 | + | 1.36213i | ||||
\(46\) | 7.16676 | − | 4.13773i | 0.155799 | − | 0.0899507i | ||||
\(47\) | −45.2870 | + | 16.4831i | −0.963554 | + | 0.350705i | −0.775425 | − | 0.631440i | \(-0.782464\pi\) |
−0.188128 | + | 0.982144i | \(0.560242\pi\) | |||||||
\(48\) | −0.240469 | − | 0.660682i | −0.00500977 | − | 0.0137642i | ||||
\(49\) | −4.83082 | − | 8.36722i | −0.0985881 | − | 0.170760i | ||||
\(50\) | −45.6505 | − | 26.3563i | −0.913010 | − | 0.527126i | ||||
\(51\) | 3.03367 | + | 0.534919i | 0.0594838 | + | 0.0104886i | ||||
\(52\) | −8.74126 | − | 10.4174i | −0.168101 | − | 0.200335i | ||||
\(53\) | −39.5309 | + | 47.1111i | −0.745866 | + | 0.888889i | −0.996867 | − | 0.0790979i | \(-0.974796\pi\) |
0.251000 | + | 0.967987i | \(0.419240\pi\) | |||||||
\(54\) | −0.775637 | − | 4.39886i | −0.0143637 | − | 0.0814603i | ||||
\(55\) | 105.177 | + | 38.2811i | 1.91230 | + | 0.696021i | ||||
\(56\) | − | 21.6632i | − | 0.386842i | ||||||
\(57\) | 1.26336 | + | 3.09146i | 0.0221643 | + | 0.0542362i | ||||
\(58\) | 13.7421 | 0.236932 | ||||||||
\(59\) | 23.9522 | − | 65.8081i | 0.405969 | − | 1.11539i | −0.553321 | − | 0.832968i | \(-0.686640\pi\) |
0.959290 | − | 0.282423i | \(-0.0911382\pi\) | |||||||
\(60\) | 2.73200 | − | 0.481724i | 0.0455333 | − | 0.00802874i | ||||
\(61\) | 24.0807 | + | 20.2061i | 0.394766 | + | 0.331248i | 0.818466 | − | 0.574555i | \(-0.194825\pi\) |
−0.423701 | + | 0.905802i | \(0.639269\pi\) | |||||||
\(62\) | −13.8810 | + | 11.6475i | −0.223887 | + | 0.187864i | ||||
\(63\) | 11.9288 | − | 67.6515i | 0.189346 | − | 1.07383i | ||||
\(64\) | 4.00000 | − | 6.92820i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 46.4685 | − | 26.8286i | 0.714900 | − | 0.412748i | ||||
\(66\) | −3.31306 | + | 1.20586i | −0.0501979 | + | 0.0182705i | ||||
\(67\) | −30.0817 | − | 82.6487i | −0.448980 | − | 1.23356i | −0.933435 | − | 0.358747i | \(-0.883204\pi\) |
0.484455 | − | 0.874816i | \(-0.339018\pi\) | |||||||
\(68\) | 17.5255 | + | 30.3551i | 0.257728 | + | 0.446398i | ||||
\(69\) | −0.890748 | − | 0.514274i | −0.0129094 | − | 0.00745324i | ||||
\(70\) | 84.1773 | + | 14.8427i | 1.20253 | + | 0.212039i | ||||
\(71\) | 34.7381 | + | 41.3993i | 0.489269 | + | 0.583088i | 0.953031 | − | 0.302871i | \(-0.0979453\pi\) |
−0.463762 | + | 0.885960i | \(0.653501\pi\) | |||||||
\(72\) | 16.3065 | − | 19.4334i | 0.226480 | − | 0.269908i | ||||
\(73\) | 4.30942 | + | 24.4399i | 0.0590331 | + | 0.334794i | 0.999993 | − | 0.00372442i | \(-0.00118552\pi\) |
−0.940960 | + | 0.338518i | \(0.890074\pi\) | |||||||
\(74\) | −85.9383 | − | 31.2790i | −1.16133 | − | 0.422689i | ||||
\(75\) | 6.55159i | 0.0873545i | ||||||||
\(76\) | −17.7063 | + | 33.6227i | −0.232978 | + | 0.442404i | ||||
\(77\) | −108.632 | −1.41081 | ||||||||
\(78\) | −0.578083 | + | 1.58827i | −0.00741132 | + | 0.0203624i | ||||
\(79\) | −37.9450 | + | 6.69073i | −0.480316 | + | 0.0846927i | −0.408564 | − | 0.912730i | \(-0.633970\pi\) |
−0.0717525 | + | 0.997422i | \(0.522859\pi\) | |||||||
\(80\) | 24.1805 | + | 20.2899i | 0.302256 | + | 0.253623i | ||||
\(81\) | 61.4113 | − | 51.5302i | 0.758164 | − | 0.636175i | ||||
\(82\) | 15.0580 | − | 85.3983i | 0.183634 | − | 1.04144i | ||||
\(83\) | 23.7756 | − | 41.1806i | 0.286453 | − | 0.496152i | −0.686507 | − | 0.727123i | \(-0.740857\pi\) |
0.972961 | + | 0.230971i | \(0.0741903\pi\) | |||||||
\(84\) | −2.33176 | + | 1.34624i | −0.0277591 | + | 0.0160267i | ||||
\(85\) | −129.959 | + | 47.3014i | −1.52893 | + | 0.556487i | ||||
\(86\) | 26.9882 | + | 74.1494i | 0.313816 | + | 0.862203i | ||||
\(87\) | −0.853993 | − | 1.47916i | −0.00981602 | − | 0.0170018i | ||||
\(88\) | −34.7422 | − | 20.0584i | −0.394798 | − | 0.227937i | ||||
\(89\) | 108.232 | + | 19.0842i | 1.21609 | + | 0.214429i | 0.744641 | − | 0.667466i | \(-0.232621\pi\) |
0.471447 | + | 0.881895i | \(0.343732\pi\) | |||||||
\(90\) | 64.3403 | + | 76.6778i | 0.714892 | + | 0.851975i | ||||
\(91\) | −33.4750 | + | 39.8940i | −0.367858 | + | 0.438396i | ||||
\(92\) | −2.03225 | − | 11.5255i | −0.0220897 | − | 0.125277i | ||||
\(93\) | 2.11634 | + | 0.770283i | 0.0227563 | + | 0.00828262i | ||||
\(94\) | 68.1558i | 0.725062i | ||||||||
\(95\) | −118.517 | − | 91.8389i | −1.24755 | − | 0.966725i | ||||
\(96\) | −0.994310 | −0.0103574 | ||||||||
\(97\) | −14.4125 | + | 39.5981i | −0.148583 | + | 0.408227i | −0.991548 | − | 0.129740i | \(-0.958586\pi\) |
0.842965 | + | 0.537968i | \(0.180808\pi\) | |||||||
\(98\) | −13.4560 | + | 2.37266i | −0.137307 | + | 0.0242108i | ||||
\(99\) | −97.4506 | − | 81.7708i | −0.984350 | − | 0.825968i | ||||
\(100\) | −57.1063 | + | 47.9178i | −0.571063 | + | 0.479178i | ||||
\(101\) | −20.9721 | + | 118.939i | −0.207644 | + | 1.17761i | 0.685580 | + | 0.727998i | \(0.259549\pi\) |
−0.893224 | + | 0.449612i | \(0.851562\pi\) | |||||||
\(102\) | 2.17822 | − | 3.77279i | 0.0213551 | − | 0.0369882i | ||||
\(103\) | 23.0641 | − | 13.3161i | 0.223924 | − | 0.129282i | −0.383842 | − | 0.923399i | \(-0.625399\pi\) |
0.607766 | + | 0.794116i | \(0.292066\pi\) | |||||||
\(104\) | −18.0720 | + | 6.57769i | −0.173770 | + | 0.0632470i | ||||
\(105\) | −3.63352 | − | 9.98301i | −0.0346049 | − | 0.0950763i | ||||
\(106\) | 43.4865 | + | 75.3208i | 0.410250 | + | 0.710574i | ||||
\(107\) | 140.947 | + | 81.3757i | 1.31726 | + | 0.760520i | 0.983287 | − | 0.182063i | \(-0.0582774\pi\) |
0.333973 | + | 0.942583i | \(0.391611\pi\) | |||||||
\(108\) | −6.22092 | − | 1.09692i | −0.0576011 | − | 0.0101566i | ||||
\(109\) | 88.4478 | + | 105.408i | 0.811447 | + | 0.967045i | 0.999887 | − | 0.0150396i | \(-0.00478742\pi\) |
−0.188440 | + | 0.982085i | \(0.560343\pi\) | |||||||
\(110\) | 101.746 | − | 121.256i | 0.924960 | − | 1.10232i | ||||
\(111\) | 1.97380 | + | 11.1940i | 0.0177820 | + | 0.100847i | ||||
\(112\) | −28.7888 | − | 10.4783i | −0.257042 | − | 0.0935558i | ||||
\(113\) | − | 164.076i | − | 1.45200i | −0.687694 | − | 0.726001i | \(-0.741377\pi\) | ||
0.687694 | − | 0.726001i | \(-0.258623\pi\) | |||||||
\(114\) | 4.71940 | − | 0.183607i | 0.0413983 | − | 0.00161059i | ||||
\(115\) | 46.1773 | 0.401542 | ||||||||
\(116\) | 6.64690 | − | 18.2622i | 0.0573009 | − | 0.157433i | ||||
\(117\) | −60.0589 | + | 10.5900i | −0.513324 | + | 0.0905128i | ||||
\(118\) | −75.8687 | − | 63.6614i | −0.642955 | − | 0.539503i | ||||
\(119\) | 102.826 | − | 86.2810i | 0.864081 | − | 0.725050i | ||||
\(120\) | 0.681261 | − | 3.86362i | 0.00567718 | − | 0.0321969i | ||||
\(121\) | −40.0850 | + | 69.4293i | −0.331281 | + | 0.573796i | ||||
\(122\) | 38.5000 | − | 22.2280i | 0.315574 | − | 0.182197i | ||||
\(123\) | −10.1278 | + | 3.68622i | −0.0823399 | + | 0.0299693i | ||||
\(124\) | 8.76463 | + | 24.0806i | 0.0706825 | + | 0.194199i | ||||
\(125\) | −48.4272 | − | 83.8783i | −0.387417 | − | 0.671026i | ||||
\(126\) | −84.1341 | − | 48.5748i | −0.667731 | − | 0.385514i | ||||
\(127\) | −181.107 | − | 31.9340i | −1.42604 | − | 0.251449i | −0.593241 | − | 0.805025i | \(-0.702152\pi\) |
−0.832799 | + | 0.553576i | \(0.813263\pi\) | |||||||
\(128\) | −7.27231 | − | 8.66680i | −0.0568149 | − | 0.0677094i | ||||
\(129\) | 6.30408 | − | 7.51291i | 0.0488688 | − | 0.0582396i | ||||
\(130\) | −13.1769 | − | 74.7299i | −0.101361 | − | 0.574845i | ||||
\(131\) | 144.262 | + | 52.5069i | 1.10123 | + | 0.400816i | 0.827771 | − | 0.561067i | \(-0.189609\pi\) |
0.273463 | + | 0.961883i | \(0.411831\pi\) | |||||||
\(132\) | 4.98607i | 0.0377733i | ||||||||
\(133\) | 138.578 | + | 44.4180i | 1.04194 | + | 0.333970i | ||||
\(134\) | −124.384 | −0.928241 | ||||||||
\(135\) | 8.52465 | − | 23.4213i | 0.0631456 | − | 0.173491i | ||||
\(136\) | 48.8165 | − | 8.60767i | 0.358945 | − | 0.0632917i | ||||
\(137\) | 6.75606 | + | 5.66901i | 0.0493143 | + | 0.0413796i | 0.667112 | − | 0.744958i | \(-0.267530\pi\) |
−0.617797 | + | 0.786337i | \(0.711975\pi\) | |||||||
\(138\) | −1.11428 | + | 0.934990i | −0.00807447 | + | 0.00677529i | ||||
\(139\) | 4.68586 | − | 26.5748i | 0.0337112 | − | 0.191186i | −0.963302 | − | 0.268421i | \(-0.913498\pi\) |
0.997013 | + | 0.0772353i | \(0.0246093\pi\) | |||||||
\(140\) | 60.4406 | − | 104.686i | 0.431718 | − | 0.747758i | ||||
\(141\) | 7.33610 | − | 4.23550i | 0.0520291 | − | 0.0300390i | ||||
\(142\) | 71.8190 | − | 26.1400i | 0.505768 | − | 0.184084i | ||||
\(143\) | 32.9845 | + | 90.6241i | 0.230661 | + | 0.633735i | ||||
\(144\) | −17.9382 | − | 31.0699i | −0.124571 | − | 0.215763i | ||||
\(145\) | 66.4079 | + | 38.3406i | 0.457986 | + | 0.264418i | ||||
\(146\) | 34.5633 | + | 6.09444i | 0.236735 | + | 0.0417427i | ||||
\(147\) | 1.09160 | + | 1.30092i | 0.00742588 | + | 0.00884982i | ||||
\(148\) | −83.1349 | + | 99.0763i | −0.561722 | + | 0.669435i | ||||
\(149\) | 0.104219 | + | 0.591054i | 0.000699455 | + | 0.00396681i | 0.985155 | − | 0.171664i | \(-0.0549145\pi\) |
−0.984456 | + | 0.175631i | \(0.943803\pi\) | |||||||
\(150\) | 8.70658 | + | 3.16894i | 0.0580439 | + | 0.0211262i | ||||
\(151\) | − | 82.6103i | − | 0.547088i | −0.961859 | − | 0.273544i | \(-0.911804\pi\) | ||
0.961859 | − | 0.273544i | \(-0.0881960\pi\) | |||||||
\(152\) | 36.1178 | + | 39.7933i | 0.237617 | + | 0.261798i | ||||
\(153\) | 157.188 | 1.02737 | ||||||||
\(154\) | −52.5443 | + | 144.364i | −0.341197 | + | 0.937430i | ||||
\(155\) | −99.5761 | + | 17.5579i | −0.642426 | + | 0.113277i | ||||
\(156\) | 1.83108 | + | 1.53646i | 0.0117377 | + | 0.00984909i | ||||
\(157\) | −162.501 | + | 136.355i | −1.03504 | + | 0.868502i | −0.991442 | − | 0.130547i | \(-0.958327\pi\) |
−0.0435984 | + | 0.999049i | \(0.513882\pi\) | |||||||
\(158\) | −9.46212 | + | 53.6623i | −0.0598868 | + | 0.339635i | ||||
\(159\) | 5.40488 | − | 9.36153i | 0.0339930 | − | 0.0588776i | ||||
\(160\) | 38.6596 | − | 22.3201i | 0.241622 | − | 0.139501i | ||||
\(161\) | −42.1153 | + | 15.3287i | −0.261586 | + | 0.0952095i | ||||
\(162\) | −38.7758 | − | 106.536i | −0.239357 | − | 0.657628i | ||||
\(163\) | −39.4840 | − | 68.3883i | −0.242233 | − | 0.419560i | 0.719117 | − | 0.694889i | \(-0.244547\pi\) |
−0.961350 | + | 0.275329i | \(0.911213\pi\) | |||||||
\(164\) | −106.205 | − | 61.3173i | −0.647589 | − | 0.373886i | ||||
\(165\) | −19.3745 | − | 3.41626i | −0.117422 | − | 0.0207046i | ||||
\(166\) | −43.2260 | − | 51.5147i | −0.260397 | − | 0.310329i | ||||
\(167\) | −91.4469 | + | 108.982i | −0.547586 | + | 0.652588i | −0.966871 | − | 0.255267i | \(-0.917837\pi\) |
0.419284 | + | 0.907855i | \(0.362281\pi\) | |||||||
\(168\) | 0.661210 | + | 3.74991i | 0.00393577 | + | 0.0223209i | ||||
\(169\) | −115.363 | − | 41.9888i | −0.682622 | − | 0.248454i | ||||
\(170\) | 195.586i | 1.15050i | ||||||||
\(171\) | 90.8794 | + | 144.158i | 0.531458 | + | 0.843029i | ||||
\(172\) | 111.593 | 0.648797 | ||||||||
\(173\) | 10.1438 | − | 27.8698i | 0.0586345 | − | 0.161097i | −0.906917 | − | 0.421310i | \(-0.861570\pi\) |
0.965551 | + | 0.260213i | \(0.0837927\pi\) | |||||||
\(174\) | −2.37876 | + | 0.419440i | −0.0136710 | + | 0.00241057i | ||||
\(175\) | 218.691 | + | 183.504i | 1.24966 | + | 1.04859i | ||||
\(176\) | −43.4606 | + | 36.4678i | −0.246935 | + | 0.207203i | ||||
\(177\) | −2.13752 | + | 12.1225i | −0.0120764 | + | 0.0684886i | ||||
\(178\) | 77.7120 | − | 134.601i | 0.436584 | − | 0.756186i | ||||
\(179\) | −180.819 | + | 104.396i | −1.01016 | + | 0.583218i | −0.911240 | − | 0.411877i | \(-0.864873\pi\) |
−0.0989240 | + | 0.995095i | \(0.531540\pi\) | |||||||
\(180\) | 133.020 | − | 48.4153i | 0.738999 | − | 0.268974i | ||||
\(181\) | 10.9113 | + | 29.9786i | 0.0602836 | + | 0.165628i | 0.966178 | − | 0.257875i | \(-0.0830224\pi\) |
−0.905895 | + | 0.423503i | \(0.860800\pi\) | |||||||
\(182\) | 36.8246 | + | 63.7822i | 0.202333 | + | 0.350451i | ||||
\(183\) | −4.78512 | − | 2.76269i | −0.0261482 | − | 0.0150967i | ||||
\(184\) | −16.2995 | − | 2.87404i | −0.0885841 | − | 0.0156198i | ||||
\(185\) | −328.024 | − | 390.923i | −1.77310 | − | 2.11310i | ||||
\(186\) | 2.04730 | − | 2.43988i | 0.0110070 | − | 0.0131176i | ||||
\(187\) | −43.1641 | − | 244.796i | −0.230824 | − | 1.30907i | ||||
\(188\) | 90.5740 | + | 32.9663i | 0.481777 | + | 0.175352i | ||||
\(189\) | 24.1908i | 0.127994i | ||||||||
\(190\) | −179.373 | + | 113.079i | −0.944066 | + | 0.595154i | ||||
\(191\) | −14.8801 | −0.0779061 | −0.0389531 | − | 0.999241i | \(-0.512402\pi\) | ||||
−0.0389531 | + | 0.999241i | \(0.512402\pi\) | |||||||
\(192\) | −0.480937 | + | 1.32136i | −0.00250488 | + | 0.00688211i | ||||
\(193\) | 17.0752 | − | 3.01081i | 0.0884723 | − | 0.0156001i | −0.129237 | − | 0.991614i | \(-0.541253\pi\) |
0.217709 | + | 0.976014i | \(0.430142\pi\) | |||||||
\(194\) | 45.6517 | + | 38.3063i | 0.235318 | + | 0.197455i | ||||
\(195\) | −7.22485 | + | 6.06237i | −0.0370505 | + | 0.0310891i | ||||
\(196\) | −3.35545 | + | 19.0297i | −0.0171196 | + | 0.0970904i | ||||
\(197\) | 38.0566 | − | 65.9160i | 0.193181 | − | 0.334599i | −0.753122 | − | 0.657881i | \(-0.771453\pi\) |
0.946303 | + | 0.323282i | \(0.104786\pi\) | |||||||
\(198\) | −155.803 | + | 89.9530i | −0.786885 | + | 0.454308i | ||||
\(199\) | 149.353 | − | 54.3600i | 0.750517 | − | 0.273166i | 0.0616936 | − | 0.998095i | \(-0.480350\pi\) |
0.688823 | + | 0.724929i | \(0.258128\pi\) | |||||||
\(200\) | 36.0576 | + | 99.0674i | 0.180288 | + | 0.495337i | ||||
\(201\) | 7.72978 | + | 13.3884i | 0.0384566 | + | 0.0666088i | ||||
\(202\) | 147.917 | + | 85.3997i | 0.732260 | + | 0.422771i | ||||
\(203\) | −73.2936 | − | 12.9236i | −0.361052 | − | 0.0636633i | ||||
\(204\) | −3.96018 | − | 4.71956i | −0.0194127 | − | 0.0231351i | ||||
\(205\) | 311.030 | − | 370.671i | 1.51722 | − | 1.80815i | ||||
\(206\) | −6.54021 | − | 37.0914i | −0.0317486 | − | 0.180055i | ||||
\(207\) | −49.3188 | − | 17.9506i | −0.238255 | − | 0.0867177i | ||||
\(208\) | 27.1980i | 0.130759i | ||||||||
\(209\) | 199.548 | − | 181.116i | 0.954774 | − | 0.866585i | ||||
\(210\) | −15.0242 | −0.0715437 | ||||||||
\(211\) | 52.6647 | − | 144.695i | 0.249596 | − | 0.685759i | −0.750105 | − | 0.661318i | \(-0.769997\pi\) |
0.999701 | − | 0.0244409i | \(-0.00778055\pi\) | |||||||
\(212\) | 121.130 | − | 21.3584i | 0.571367 | − | 0.100747i | ||||
\(213\) | −7.27679 | − | 6.10595i | −0.0341633 | − | 0.0286664i | ||||
\(214\) | 176.317 | − | 147.947i | 0.823910 | − | 0.691342i | ||||
\(215\) | −76.4590 | + | 433.621i | −0.355623 | + | 2.01684i | ||||
\(216\) | −4.46672 | + | 7.73658i | −0.0206792 | + | 0.0358175i | ||||
\(217\) | 84.9884 | − | 49.0681i | 0.391652 | − | 0.226120i | ||||
\(218\) | 182.861 | − | 66.5558i | 0.838810 | − | 0.305302i | ||||
\(219\) | −1.49193 | − | 4.09903i | −0.00681244 | − | 0.0187170i | ||||
\(220\) | −111.927 | − | 193.862i | −0.508757 | − | 0.881193i | ||||
\(221\) | −103.200 | − | 59.5823i | −0.466966 | − | 0.269603i | ||||
\(222\) | 15.8307 | + | 2.79137i | 0.0713093 | + | 0.0125738i | ||||
\(223\) | −64.6260 | − | 77.0183i | −0.289803 | − | 0.345373i | 0.601425 | − | 0.798929i | \(-0.294600\pi\) |
−0.891228 | + | 0.453556i | \(0.850155\pi\) | |||||||
\(224\) | −27.8496 | + | 33.1899i | −0.124329 | + | 0.148169i | ||||
\(225\) | 58.0523 | + | 329.231i | 0.258010 | + | 1.46325i | ||||
\(226\) | −218.045 | − | 79.3619i | −0.964801 | − | 0.351159i | ||||
\(227\) | 243.223i | 1.07147i | 0.844387 | + | 0.535734i | \(0.179965\pi\) | ||||
−0.844387 | + | 0.535734i | \(0.820035\pi\) | |||||||
\(228\) | 2.03873 | − | 6.36055i | 0.00894178 | − | 0.0278971i | ||||
\(229\) | 117.974 | 0.515171 | 0.257586 | − | 0.966255i | \(-0.417073\pi\) | ||||
0.257586 | + | 0.966255i | \(0.417073\pi\) | |||||||
\(230\) | 22.3355 | − | 61.3663i | 0.0971108 | − | 0.266810i | ||||
\(231\) | 18.8043 | − | 3.31571i | 0.0814039 | − | 0.0143537i | ||||
\(232\) | −21.0541 | − | 17.6665i | −0.0907504 | − | 0.0761486i | ||||
\(233\) | 169.625 | − | 142.333i | 0.728006 | − | 0.610870i | −0.201581 | − | 0.979472i | \(-0.564608\pi\) |
0.929587 | + | 0.368602i | \(0.120164\pi\) | |||||||
\(234\) | −14.9765 | + | 84.9360i | −0.0640022 | + | 0.362975i | ||||
\(235\) | −190.156 | + | 329.359i | −0.809173 | + | 1.40153i | ||||
\(236\) | −121.298 | + | 70.0315i | −0.513975 | + | 0.296744i | ||||
\(237\) | 6.36408 | − | 2.31634i | 0.0268527 | − | 0.00977357i | ||||
\(238\) | −64.9254 | − | 178.381i | −0.272796 | − | 0.749500i | ||||
\(239\) | 1.06079 | + | 1.83734i | 0.00443846 | + | 0.00768764i | 0.868236 | − | 0.496151i | \(-0.165254\pi\) |
−0.863798 | + | 0.503839i | \(0.831921\pi\) | |||||||
\(240\) | −4.80495 | − | 2.77414i | −0.0200206 | − | 0.0115589i | ||||
\(241\) | −367.972 | − | 64.8834i | −1.52686 | − | 0.269226i | −0.653733 | − | 0.756725i | \(-0.726798\pi\) |
−0.873123 | + | 0.487500i | \(0.837909\pi\) | |||||||
\(242\) | 72.8777 | + | 86.8522i | 0.301147 | + | 0.358893i | ||||
\(243\) | −27.3294 | + | 32.5699i | −0.112467 | + | 0.134033i | ||||
\(244\) | −10.9173 | − | 61.9151i | −0.0447430 | − | 0.253750i | ||||
\(245\) | −71.6454 | − | 26.0768i | −0.292430 | − | 0.106436i | ||||
\(246\) | 15.2421i | 0.0619597i | ||||||||
\(247\) | −5.02232 | − | 129.093i | −0.0203333 | − | 0.522642i | ||||
\(248\) | 36.2407 | 0.146132 | ||||||||
\(249\) | −2.85865 | + | 7.85407i | −0.0114805 | + | 0.0315425i | ||||
\(250\) | −134.892 | + | 23.7851i | −0.539567 | + | 0.0951402i | ||||
\(251\) | −176.655 | − | 148.232i | −0.703807 | − | 0.590564i | 0.219047 | − | 0.975714i | \(-0.429705\pi\) |
−0.922854 | + | 0.385150i | \(0.874150\pi\) | |||||||
\(252\) | −105.247 | + | 88.3128i | −0.417647 | + | 0.350448i | ||||
\(253\) | −14.4122 | + | 81.7354i | −0.0569651 | + | 0.323065i | ||||
\(254\) | −130.038 | + | 225.232i | −0.511959 | + | 0.886739i | ||||
\(255\) | 21.0523 | − | 12.1546i | 0.0825581 | − | 0.0476649i | ||||
\(256\) | −15.0351 | + | 5.47232i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 35.8146 | + | 98.3997i | 0.139356 | + | 0.382878i | 0.989664 | − | 0.143408i | \(-0.0458062\pi\) |
−0.850307 | + | 0.526286i | \(0.823584\pi\) | |||||||
\(258\) | −6.93488 | − | 12.0116i | −0.0268794 | − | 0.0465565i | ||||
\(259\) | 428.937 | + | 247.647i | 1.65613 | + | 0.956166i | ||||
\(260\) | −105.684 | − | 18.6350i | −0.406477 | − | 0.0716729i | ||||
\(261\) | −56.0214 | − | 66.7637i | −0.214641 | − | 0.255800i | ||||
\(262\) | 139.556 | − | 166.316i | 0.532655 | − | 0.634793i | ||||
\(263\) | 2.67540 | + | 15.1729i | 0.0101726 | + | 0.0576917i | 0.989472 | − | 0.144728i | \(-0.0462307\pi\) |
−0.979299 | + | 0.202420i | \(0.935120\pi\) | |||||||
\(264\) | 6.62612 | + | 2.41171i | 0.0250989 | + | 0.00913527i | ||||
\(265\) | 485.312i | 1.83137i | ||||||||
\(266\) | 126.057 | − | 162.676i | 0.473899 | − | 0.611562i | ||||
\(267\) | −19.3175 | −0.0723501 | ||||||||
\(268\) | −60.1634 | + | 165.297i | −0.224490 | + | 0.616782i | ||||
\(269\) | −360.276 | + | 63.5265i | −1.33932 | + | 0.236158i | −0.796981 | − | 0.604004i | \(-0.793571\pi\) |
−0.542336 | + | 0.840162i | \(0.682460\pi\) | |||||||
\(270\) | −27.0019 | − | 22.6573i | −0.100007 | − | 0.0839158i | ||||
\(271\) | 156.856 | − | 131.617i | 0.578803 | − | 0.485673i | −0.305751 | − | 0.952112i | \(-0.598907\pi\) |
0.884554 | + | 0.466438i | \(0.154463\pi\) | |||||||
\(272\) | 12.1731 | − | 69.0370i | 0.0447540 | − | 0.253813i | ||||
\(273\) | 4.57689 | − | 7.92741i | 0.0167652 | − | 0.0290381i | ||||
\(274\) | 10.8015 | − | 6.23627i | 0.0394217 | − | 0.0227601i | ||||
\(275\) | 496.784 | − | 180.814i | 1.80649 | − | 0.657507i | ||||
\(276\) | 0.703568 | + | 1.93304i | 0.00254916 | + | 0.00700376i | ||||
\(277\) | 146.511 | + | 253.764i | 0.528920 | + | 0.916117i | 0.999431 | + | 0.0337227i | \(0.0107363\pi\) |
−0.470511 | + | 0.882394i | \(0.655930\pi\) | |||||||
\(278\) | −33.0495 | − | 19.0811i | −0.118883 | − | 0.0686371i | ||||
\(279\) | 113.176 | + | 19.9559i | 0.405647 | + | 0.0715265i | ||||
\(280\) | −109.886 | − | 130.957i | −0.392449 | − | 0.467702i | ||||
\(281\) | −23.4002 | + | 27.8873i | −0.0832749 | + | 0.0992432i | −0.806073 | − | 0.591816i | \(-0.798411\pi\) |
0.722798 | + | 0.691059i | \(0.242856\pi\) | |||||||
\(282\) | −2.08027 | − | 11.7978i | −0.00737685 | − | 0.0418362i | ||||
\(283\) | −365.955 | − | 133.197i | −1.29313 | − | 0.470660i | −0.398375 | − | 0.917223i | \(-0.630426\pi\) |
−0.894752 | + | 0.446563i | \(0.852648\pi\) | |||||||
\(284\) | − | 108.086i | − | 0.380584i | ||||||
\(285\) | 23.3185 | + | 12.2799i | 0.0818194 | + | 0.0430875i | ||||
\(286\) | 136.387 | 0.476878 | ||||||||
\(287\) | −160.624 | + | 441.312i | −0.559667 | + | 1.53767i | ||||
\(288\) | −49.9661 | + | 8.81037i | −0.173493 | + | 0.0305916i | ||||
\(289\) | 13.8986 | + | 11.6623i | 0.0480922 | + | 0.0403541i | ||||
\(290\) | 83.0727 | − | 69.7062i | 0.286457 | − | 0.240366i | ||||
\(291\) | 1.28619 | − | 7.29435i | 0.00441990 | − | 0.0250665i | ||||
\(292\) | 24.8170 | − | 42.9842i | 0.0849896 | − | 0.147206i | ||||
\(293\) | 30.2746 | − | 17.4791i | 0.103326 | − | 0.0596555i | −0.447446 | − | 0.894311i | \(-0.647666\pi\) |
0.550773 | + | 0.834655i | \(0.314333\pi\) | |||||||
\(294\) | 2.25683 | − | 0.821418i | 0.00767629 | − | 0.00279394i | ||||
\(295\) | −189.015 | − | 519.315i | −0.640729 | − | 1.76039i | ||||
\(296\) | 91.4536 | + | 158.402i | 0.308965 | + | 0.535143i | ||||
\(297\) | 38.7959 | + | 22.3988i | 0.130626 | + | 0.0754169i | ||||
\(298\) | 0.835877 | + | 0.147388i | 0.00280496 | + | 0.000494589i | ||||
\(299\) | 25.5753 | + | 30.4795i | 0.0855362 | + | 0.101938i | ||||
\(300\) | 8.42256 | − | 10.0376i | 0.0280752 | − | 0.0334587i | ||||
\(301\) | −74.2086 | − | 420.858i | −0.246540 | − | 1.39820i | ||||
\(302\) | −109.783 | − | 39.9578i | −0.363520 | − | 0.132310i | ||||
\(303\) | − | 21.2284i | − | 0.0700609i | ||||||
\(304\) | 70.3521 | − | 28.7502i | 0.231422 | − | 0.0945731i | ||||
\(305\) | 248.066 | 0.813330 | ||||||||
\(306\) | 76.0302 | − | 208.891i | 0.248465 | − | 0.682652i | ||||
\(307\) | 575.101 | − | 101.406i | 1.87329 | − | 0.330312i | 0.883007 | − | 0.469360i | \(-0.155515\pi\) |
0.990286 | + | 0.139048i | \(0.0444041\pi\) | |||||||
\(308\) | 166.434 | + | 139.655i | 0.540371 | + | 0.453425i | ||||
\(309\) | −3.58598 | + | 3.00899i | −0.0116051 | + | 0.00973784i | ||||
\(310\) | −24.8307 | + | 140.822i | −0.0800990 | + | 0.454264i | ||||
\(311\) | 232.557 | − | 402.800i | 0.747772 | − | 1.29518i | −0.201117 | − | 0.979567i | \(-0.564457\pi\) |
0.948889 | − | 0.315611i | \(-0.102209\pi\) | |||||||
\(312\) | 2.92751 | − | 1.69020i | 0.00938306 | − | 0.00541731i | ||||
\(313\) | −50.0893 | + | 18.2310i | −0.160030 | + | 0.0582460i | −0.420793 | − | 0.907157i | \(-0.638248\pi\) |
0.260763 | + | 0.965403i | \(0.416026\pi\) | |||||||
\(314\) | 102.605 | + | 281.906i | 0.326768 | + | 0.897789i | ||||
\(315\) | −271.049 | − | 469.471i | −0.860473 | − | 1.49038i | ||||
\(316\) | 66.7365 | + | 38.5304i | 0.211192 | + | 0.121932i | ||||
\(317\) | −175.837 | − | 31.0049i | −0.554692 | − | 0.0978071i | −0.110726 | − | 0.993851i | \(-0.535318\pi\) |
−0.443966 | + | 0.896044i | \(0.646429\pi\) | |||||||
\(318\) | −9.82650 | − | 11.7108i | −0.0309009 | − | 0.0368263i | ||||
\(319\) | −88.5904 | + | 105.578i | −0.277713 | + | 0.330965i | ||||
\(320\) | −10.9626 | − | 62.1717i | −0.0342580 | − | 0.194287i | ||||
\(321\) | −26.8817 | − | 9.78415i | −0.0837437 | − | 0.0304802i | ||||
\(322\) | 63.3825i | 0.196840i | ||||||||
\(323\) | −45.0302 | + | 329.926i | −0.139412 | + | 1.02144i | ||||
\(324\) | −160.334 | −0.494857 | ||||||||
\(325\) | 86.6818 | − | 238.156i | 0.266713 | − | 0.732789i | ||||
\(326\) | −109.981 | + | 19.3926i | −0.337365 | + | 0.0594865i | ||||
\(327\) | −18.5276 | − | 15.5465i | −0.0566595 | − | 0.0475429i | ||||
\(328\) | −132.856 | + | 111.480i | −0.405049 | + | 0.339877i | ||||
\(329\) | 64.0966 | − | 363.510i | 0.194823 | − | 1.10489i | ||||
\(330\) | −13.9112 | + | 24.0949i | −0.0421552 | + | 0.0730150i | ||||
\(331\) | −495.966 | + | 286.346i | −1.49839 | + | 0.865094i | −0.999998 | − | 0.00185941i | \(-0.999408\pi\) |
−0.498389 | + | 0.866954i | \(0.666075\pi\) | |||||||
\(332\) | −89.3672 | + | 32.5270i | −0.269178 | + | 0.0979728i | ||||
\(333\) | 198.375 | + | 545.031i | 0.595720 | + | 1.63673i | ||||
\(334\) | 100.597 | + | 174.240i | 0.301190 | + | 0.521676i | ||||
\(335\) | −601.080 | − | 347.034i | −1.79427 | − | 1.03592i | ||||
\(336\) | 5.30317 | + | 0.935092i | 0.0157832 | + | 0.00278301i | ||||
\(337\) | 63.5188 | + | 75.6987i | 0.188483 | + | 0.224625i | 0.852008 | − | 0.523529i | \(-0.175385\pi\) |
−0.663525 | + | 0.748154i | \(0.730940\pi\) | |||||||
\(338\) | −111.600 | + | 133.000i | −0.330177 | + | 0.393490i | ||||
\(339\) | 5.00798 | + | 28.4017i | 0.0147728 | + | 0.0837807i | ||||
\(340\) | 259.919 | + | 94.6028i | 0.764467 | + | 0.278243i | ||||
\(341\) | − | 181.733i | − | 0.532941i | ||||||
\(342\) | 235.533 | − | 51.0443i | 0.688692 | − | 0.149252i | ||||
\(343\) | −301.296 | −0.878414 | ||||||||
\(344\) | 53.9764 | − | 148.299i | 0.156908 | − | 0.431101i | ||||
\(345\) | −7.99332 | + | 1.40944i | −0.0231690 | + | 0.00408533i | ||||
\(346\) | −32.1304 | − | 26.9606i | −0.0928626 | − | 0.0779209i | ||||
\(347\) | −27.4256 | + | 23.0128i | −0.0790364 | + | 0.0663194i | −0.681450 | − | 0.731865i | \(-0.738650\pi\) |
0.602414 | + | 0.798184i | \(0.294206\pi\) | |||||||
\(348\) | −0.593178 | + | 3.36408i | −0.00170453 | + | 0.00966689i | ||||
\(349\) | 96.1382 | − | 166.516i | 0.275468 | − | 0.477124i | −0.694785 | − | 0.719217i | \(-0.744501\pi\) |
0.970253 | + | 0.242093i | \(0.0778340\pi\) | |||||||
\(350\) | 349.641 | − | 201.865i | 0.998975 | − | 0.576758i | ||||
\(351\) | 20.1807 | − | 7.34516i | 0.0574948 | − | 0.0209264i | ||||
\(352\) | 27.4415 | + | 75.3950i | 0.0779589 | + | 0.214190i | ||||
\(353\) | 169.030 | + | 292.769i | 0.478839 | + | 0.829374i | 0.999706 | − | 0.0242643i | \(-0.00772431\pi\) |
−0.520866 | + | 0.853638i | \(0.674391\pi\) | |||||||
\(354\) | 15.0760 | + | 8.70413i | 0.0425876 | + | 0.0245879i | ||||
\(355\) | 419.993 | + | 74.0560i | 1.18308 | + | 0.208609i | ||||
\(356\) | −141.287 | − | 168.379i | −0.396872 | − | 0.472974i | ||||
\(357\) | −15.1657 | + | 18.0738i | −0.0424809 | + | 0.0506268i | ||||
\(358\) | 51.2743 | + | 290.791i | 0.143224 | + | 0.812265i | ||||
\(359\) | 601.457 | + | 218.912i | 1.67537 | + | 0.609784i | 0.992663 | − | 0.120912i | \(-0.0385820\pi\) |
0.682703 | + | 0.730696i | \(0.260804\pi\) | |||||||
\(360\) | − | 200.191i | − | 0.556087i | ||||||
\(361\) | −328.611 | + | 149.451i | −0.910280 | + | 0.413993i | ||||
\(362\) | 45.1171 | 0.124633 | ||||||||
\(363\) | 4.81960 | − | 13.2417i | 0.0132771 | − | 0.0364786i | ||||
\(364\) | 102.573 | − | 18.0865i | 0.281795 | − | 0.0496881i | ||||
\(365\) | 150.022 | + | 125.883i | 0.411018 | + | 0.344885i | ||||
\(366\) | −5.98592 | + | 5.02279i | −0.0163550 | + | 0.0137235i | ||||
\(367\) | −101.474 | + | 575.486i | −0.276495 | + | 1.56808i | 0.457676 | + | 0.889119i | \(0.348682\pi\) |
−0.734172 | + | 0.678964i | \(0.762429\pi\) | |||||||
\(368\) | −11.7033 | + | 20.2707i | −0.0318024 | + | 0.0550833i | ||||
\(369\) | −476.280 | + | 274.980i | −1.29073 | + | 0.745204i | ||||
\(370\) | −678.170 | + | 246.834i | −1.83289 | + | 0.667118i | ||||
\(371\) | −161.101 | − | 442.621i | −0.434235 | − | 1.19305i | ||||
\(372\) | −2.25216 | − | 3.90085i | −0.00605419 | − | 0.0104862i | ||||
\(373\) | 107.912 | + | 62.3030i | 0.289308 | + | 0.167032i | 0.637630 | − | 0.770343i | \(-0.279915\pi\) |
−0.348322 | + | 0.937375i | \(0.613248\pi\) | |||||||
\(374\) | −346.193 | − | 61.0432i | −0.925651 | − | 0.163217i | ||||
\(375\) | 10.9429 | + | 13.0413i | 0.0291811 | + | 0.0347767i | ||||
\(376\) | 87.6194 | − | 104.421i | 0.233030 | − | 0.277715i | ||||
\(377\) | 11.4732 | + | 65.0677i | 0.0304329 | + | 0.172593i | ||||
\(378\) | 32.1478 | + | 11.7008i | 0.0850471 | + | 0.0309546i | ||||
\(379\) | − | 430.615i | − | 1.13619i | −0.822964 | − | 0.568094i | \(-0.807681\pi\) | ||
0.822964 | − | 0.568094i | \(-0.192319\pi\) | |||||||
\(380\) | 63.5133 | + | 293.068i | 0.167140 | + | 0.771232i | ||||
\(381\) | 32.3244 | 0.0848410 | ||||||||
\(382\) | −7.19734 | + | 19.7745i | −0.0188412 | + | 0.0517657i | ||||
\(383\) | −54.6361 | + | 9.63382i | −0.142653 | + | 0.0251536i | −0.244519 | − | 0.969645i | \(-0.578630\pi\) |
0.101866 | + | 0.994798i | \(0.467519\pi\) | |||||||
\(384\) | 1.52337 | + | 1.27826i | 0.00396711 | + | 0.00332880i | ||||
\(385\) | −656.696 | + | 551.033i | −1.70570 | + | 1.43126i | ||||
\(386\) | 4.25793 | − | 24.1479i | 0.0110309 | − | 0.0625594i | ||||
\(387\) | 250.222 | − | 433.398i | 0.646569 | − | 1.11989i | ||||
\(388\) | 72.9875 | − | 42.1394i | 0.188112 | − | 0.108607i | ||||
\(389\) | 6.03806 | − | 2.19767i | 0.0155220 | − | 0.00564955i | −0.334247 | − | 0.942485i | \(-0.608482\pi\) |
0.349769 | + | 0.936836i | \(0.386260\pi\) | |||||||
\(390\) | 4.56186 | + | 12.5336i | 0.0116971 | + | 0.0321374i | ||||
\(391\) | −51.2764 | − | 88.8134i | −0.131142 | − | 0.227144i | ||||
\(392\) | 23.6661 | + | 13.6636i | 0.0603727 | + | 0.0348562i | ||||
\(393\) | −26.5744 | − | 4.68578i | −0.0676193 | − | 0.0119231i | ||||
\(394\) | −69.1899 | − | 82.4574i | −0.175609 | − | 0.209283i | ||||
\(395\) | −195.444 | + | 232.921i | −0.494795 | + | 0.589673i | ||||
\(396\) | 44.1805 | + | 250.560i | 0.111567 | + | 0.632728i | ||||
\(397\) | 179.583 | + | 65.3630i | 0.452351 | + | 0.164642i | 0.558141 | − | 0.829746i | \(-0.311515\pi\) |
−0.105790 | + | 0.994388i | \(0.533737\pi\) | |||||||
\(398\) | − | 224.772i | − | 0.564754i | ||||||
\(399\) | −25.3437 | − | 3.45906i | −0.0635180 | − | 0.00866932i | ||||
\(400\) | 149.094 | 0.372735 | ||||||||
\(401\) | 9.71896 | − | 26.7026i | 0.0242368 | − | 0.0665901i | −0.926984 | − | 0.375100i | \(-0.877608\pi\) |
0.951221 | + | 0.308510i | \(0.0998304\pi\) | |||||||
\(402\) | 21.5310 | − | 3.79649i | 0.0535597 | − | 0.00944401i | ||||
\(403\) | −66.7394 | − | 56.0010i | −0.165606 | − | 0.138960i | ||||
\(404\) | 185.036 | − | 155.263i | 0.458009 | − | 0.384315i | ||||
\(405\) | 109.854 | − | 623.013i | 0.271245 | − | 1.53830i | ||||
\(406\) | −52.6259 | + | 91.1508i | −0.129620 | + | 0.224509i | ||||
\(407\) | 794.325 | − | 458.604i | 1.95166 | − | 1.12679i | ||||
\(408\) | −8.18744 | + | 2.97999i | −0.0200673 | + | 0.00730389i | ||||
\(409\) | 158.916 | + | 436.619i | 0.388549 | + | 1.06753i | 0.967655 | + | 0.252277i | \(0.0811793\pi\) |
−0.579107 | + | 0.815252i | \(0.696599\pi\) | |||||||
\(410\) | −342.152 | − | 592.625i | −0.834517 | − | 1.44543i | ||||
\(411\) | −1.34251 | − | 0.775098i | −0.00326645 | − | 0.00188588i | ||||
\(412\) | −52.4551 | − | 9.24926i | −0.127318 | − | 0.0224497i | ||||
\(413\) | 344.777 | + | 410.889i | 0.834811 | + | 0.994889i | ||||
\(414\) | −47.7099 | + | 56.8585i | −0.115241 | + | 0.137339i | ||||
\(415\) | −65.1604 | − | 369.543i | −0.157013 | − | 0.890465i | ||||
\(416\) | 36.1441 | + | 13.1554i | 0.0868848 | + | 0.0316235i | ||||
\(417\) | 4.74314i | 0.0113744i | ||||||||
\(418\) | −144.171 | − | 352.788i | −0.344907 | − | 0.843991i | ||||
\(419\) | −83.1252 | −0.198390 | −0.0991948 | − | 0.995068i | \(-0.531627\pi\) | ||||
−0.0991948 | + | 0.995068i | \(0.531627\pi\) | |||||||
\(420\) | −7.26704 | + | 19.9660i | −0.0173025 | + | 0.0475381i | ||||
\(421\) | −114.374 | + | 20.1673i | −0.271673 | + | 0.0479033i | −0.307825 | − | 0.951443i | \(-0.599601\pi\) |
0.0361518 | + | 0.999346i | \(0.488490\pi\) | |||||||
\(422\) | −166.816 | − | 139.975i | −0.395298 | − | 0.331695i | ||||
\(423\) | 331.124 | − | 277.846i | 0.782800 | − | 0.656847i | ||||
\(424\) | 30.2054 | − | 171.303i | 0.0712392 | − | 0.404017i | ||||
\(425\) | −326.618 | + | 565.719i | −0.768513 | + | 1.33110i | ||||
\(426\) | −11.6341 | + | 6.71693i | −0.0273100 | + | 0.0157674i | ||||
\(427\) | −226.245 | + | 82.3463i | −0.529847 | + | 0.192848i | ||||
\(428\) | −111.328 | − | 305.872i | −0.260113 | − | 0.714655i | ||||
\(429\) | −8.47569 | − | 14.6803i | −0.0197569 | − | 0.0342199i | ||||
\(430\) | 539.267 | + | 311.346i | 1.25411 | + | 0.724061i | ||||
\(431\) | 397.649 | + | 70.1162i | 0.922619 | + | 0.162683i | 0.614728 | − | 0.788739i | \(-0.289266\pi\) |
0.307891 | + | 0.951422i | \(0.400377\pi\) | |||||||
\(432\) | 8.12084 | + | 9.67804i | 0.0187982 | + | 0.0224029i | ||||
\(433\) | 253.907 | − | 302.594i | 0.586389 | − | 0.698832i | −0.388518 | − | 0.921441i | \(-0.627013\pi\) |
0.974908 | + | 0.222609i | \(0.0714574\pi\) | |||||||
\(434\) | −24.0998 | − | 136.677i | −0.0555296 | − | 0.314924i | ||||
\(435\) | −12.6655 | − | 4.60986i | −0.0291161 | − | 0.0105974i | ||||
\(436\) | − | 275.201i | − | 0.631194i | ||||||
\(437\) | 51.8054 | − | 98.3740i | 0.118548 | − | 0.225112i | ||||
\(438\) | −6.16894 | −0.0140843 | ||||||||
\(439\) | −287.442 | + | 789.740i | −0.654765 | + | 1.79895i | −0.0554170 | + | 0.998463i | \(0.517649\pi\) |
−0.599348 | + | 0.800489i | \(0.704573\pi\) | |||||||
\(440\) | −311.767 | + | 54.9729i | −0.708561 | + | 0.124938i | ||||
\(441\) | 66.3825 | + | 55.7016i | 0.150527 | + | 0.126307i | ||||
\(442\) | −129.097 | + | 108.325i | −0.292075 | + | 0.245080i | ||||
\(443\) | 71.2015 | − | 403.804i | 0.160726 | − | 0.911520i | −0.792637 | − | 0.609694i | \(-0.791292\pi\) |
0.953363 | − | 0.301827i | \(-0.0975964\pi\) | |||||||
\(444\) | 11.3667 | − | 19.6876i | 0.0256006 | − | 0.0443415i | ||||
\(445\) | 751.079 | − | 433.635i | 1.68782 | − | 0.974462i | ||||
\(446\) | −133.611 | + | 48.6302i | −0.299575 | + | 0.109036i | ||||
\(447\) | −0.0360806 | − | 0.0991308i | −8.07173e−5 | − | 0.000221769i | ||||
\(448\) | 30.6364 | + | 53.0637i | 0.0683847 | + | 0.118446i | ||||
\(449\) | −741.537 | − | 428.126i | −1.65153 | − | 0.953511i | −0.976444 | − | 0.215772i | \(-0.930773\pi\) |
−0.675086 | − | 0.737739i | \(-0.735893\pi\) | |||||||
\(450\) | 465.603 | + | 82.0983i | 1.03467 | + | 0.182441i | ||||
\(451\) | 559.026 | + | 666.221i | 1.23952 | + | 1.47721i | ||||
\(452\) | −210.932 | + | 251.379i | −0.466664 | + | 0.556149i | ||||
\(453\) | 2.52146 | + | 14.2999i | 0.00556613 | + | 0.0315671i | ||||
\(454\) | 323.225 | + | 117.644i | 0.711950 | + | 0.259129i | ||||
\(455\) | 410.965i | 0.903220i | ||||||||
\(456\) | −7.46659 | − | 5.78585i | −0.0163741 | − | 0.0126883i | ||||
\(457\) | −280.385 | −0.613534 | −0.306767 | − | 0.951785i | \(-0.599247\pi\) | ||||
−0.306767 | + | 0.951785i | \(0.599247\pi\) | |||||||
\(458\) | 57.0629 | − | 156.779i | 0.124592 | − | 0.342312i | ||||
\(459\) | −54.5124 | + | 9.61201i | −0.118763 | + | 0.0209412i | ||||
\(460\) | −70.7478 | − | 59.3644i | −0.153800 | − | 0.129053i | ||||
\(461\) | 28.3024 | − | 23.7486i | 0.0613936 | − | 0.0515153i | −0.611575 | − | 0.791187i | \(-0.709464\pi\) |
0.672968 | + | 0.739671i | \(0.265019\pi\) | |||||||
\(462\) | 4.68912 | − | 26.5933i | 0.0101496 | − | 0.0575612i | ||||
\(463\) | 27.9921 | − | 48.4837i | 0.0604581 | − | 0.104716i | −0.834212 | − | 0.551444i | \(-0.814077\pi\) |
0.894670 | + | 0.446727i | \(0.147411\pi\) | |||||||
\(464\) | −33.6611 | + | 19.4342i | −0.0725455 | + | 0.0418841i | ||||
\(465\) | 16.7008 | − | 6.07858i | 0.0359156 | − | 0.0130722i | ||||
\(466\) | −107.103 | − | 294.264i | −0.229836 | − | 0.631469i | ||||
\(467\) | 51.6660 | + | 89.4881i | 0.110634 | + | 0.191623i | 0.916026 | − | 0.401119i | \(-0.131379\pi\) |
−0.805392 | + | 0.592742i | \(0.798045\pi\) | |||||||
\(468\) | 105.630 | + | 60.9854i | 0.225705 | + | 0.130311i | ||||
\(469\) | 663.405 | + | 116.976i | 1.41451 | + | 0.249416i | ||||
\(470\) | 345.718 | + | 412.011i | 0.735570 | + | 0.876618i | ||||
\(471\) | 23.9672 | − | 28.5630i | 0.0508858 | − | 0.0606433i | ||||
\(472\) | 34.3961 | + | 195.070i | 0.0728730 | + | 0.413283i | ||||
\(473\) | −743.660 | − | 270.670i | −1.57222 | − | 0.572241i | ||||
\(474\) | − | 9.57778i | − | 0.0202063i | ||||||
\(475\) | −707.661 | + | 27.5314i | −1.48981 | + | 0.0579607i | ||||
\(476\) | −268.459 | −0.563989 | ||||||||
\(477\) | 188.656 | − | 518.328i | 0.395505 | − | 1.08664i | ||||
\(478\) | 2.95479 | − | 0.521009i | 0.00618157 | − | 0.00108998i | ||||
\(479\) | −232.194 | − | 194.834i | −0.484747 | − | 0.406751i | 0.367392 | − | 0.930066i | \(-0.380251\pi\) |
−0.852139 | + | 0.523315i | \(0.824695\pi\) | |||||||
\(480\) | −6.01073 | + | 5.04360i | −0.0125224 | + | 0.0105075i | ||||
\(481\) | 76.3542 | − | 433.026i | 0.158740 | − | 0.900262i | ||||
\(482\) | −264.210 | + | 457.625i | −0.548153 | + | 0.949428i | ||||
\(483\) | 6.82232 | − | 3.93887i | 0.0141249 | − | 0.00815501i | ||||
\(484\) | 150.670 | − | 54.8395i | 0.311302 | − | 0.113305i | ||||
\(485\) | 113.734 | + | 312.482i | 0.234504 | + | 0.644294i | ||||
\(486\) | 30.0641 | + | 52.0725i | 0.0618602 | + | 0.107145i | ||||
\(487\) | −158.073 | − | 91.2635i | −0.324585 | − | 0.187399i | 0.328849 | − | 0.944382i | \(-0.393339\pi\) |
−0.653435 | + | 0.756983i | \(0.726673\pi\) | |||||||
\(488\) | −87.5612 | − | 15.4394i | −0.179429 | − | 0.0316381i | ||||
\(489\) | 8.92206 | + | 10.6329i | 0.0182455 | + | 0.0217442i | ||||
\(490\) | −69.3082 | + | 82.5983i | −0.141445 | + | 0.168568i | ||||
\(491\) | 124.875 | + | 708.198i | 0.254327 | + | 1.44236i | 0.797795 | + | 0.602929i | \(0.206000\pi\) |
−0.543468 | + | 0.839430i | \(0.682889\pi\) | |||||||
\(492\) | 20.2556 | + | 7.37244i | 0.0411699 | + | 0.0149846i | ||||
\(493\) | − | 170.297i | − | 0.345431i | ||||||
\(494\) | −173.984 | − | 55.7665i | −0.352194 | − | 0.112888i | ||||
\(495\) | −1003.88 | −2.02804 | ||||||||
\(496\) | 17.5293 | − | 48.1613i | 0.0353413 | − | 0.0970993i | ||||
\(497\) | −407.631 | + | 71.8763i | −0.820183 | + | 0.144620i | ||||
\(498\) | 9.05478 | + | 7.59786i | 0.0181823 | + | 0.0152568i | ||||
\(499\) | −389.833 | + | 327.108i | −0.781228 | + | 0.655528i | −0.943558 | − | 0.331209i | \(-0.892544\pi\) |
0.162330 | + | 0.986737i | \(0.448099\pi\) | |||||||
\(500\) | −33.6371 | + | 190.766i | −0.0672743 | + | 0.381531i | ||||
\(501\) | 12.5031 | − | 21.6560i | 0.0249563 | − | 0.0432256i | ||||
\(502\) | −282.435 | + | 163.064i | −0.562620 | + | 0.324829i | ||||
\(503\) | −269.426 | + | 98.0630i | −0.535638 | + | 0.194956i | −0.595654 | − | 0.803241i | \(-0.703107\pi\) |
0.0600160 | + | 0.998197i | \(0.480885\pi\) | |||||||
\(504\) | 66.4543 | + | 182.582i | 0.131854 | + | 0.362265i | ||||
\(505\) | 476.533 | + | 825.379i | 0.943629 | + | 1.63441i | ||||
\(506\) | 101.649 | + | 58.6873i | 0.200888 | + | 0.115983i | ||||
\(507\) | 21.2510 | + | 3.74713i | 0.0419152 | + | 0.00739078i | ||||
\(508\) | 236.418 | + | 281.752i | 0.465391 | + | 0.554631i | ||||
\(509\) | 226.813 | − | 270.305i | 0.445605 | − | 0.531051i | −0.495752 | − | 0.868464i | \(-0.665108\pi\) |
0.941357 | + | 0.337413i | \(0.109552\pi\) | |||||||
\(510\) | −5.96972 | − | 33.8560i | −0.0117053 | − | 0.0663843i | ||||
\(511\) | −178.612 | − | 65.0096i | −0.349535 | − | 0.127220i | ||||
\(512\) | 22.6274i | 0.0441942i | ||||||||
\(513\) | −40.3319 | − | 44.4364i | −0.0786198 | − | 0.0866206i | ||||
\(514\) | 148.089 | 0.288111 | ||||||||
\(515\) | 71.8803 | − | 197.489i | 0.139573 | − | 0.383475i | ||||
\(516\) | −19.3168 | + | 3.40608i | −0.0374357 | + | 0.00660092i | ||||
\(517\) | −523.629 | − | 439.377i | −1.01282 | − | 0.849858i | ||||
\(518\) | 536.577 | − | 450.242i | 1.03586 | − | 0.869192i | ||||
\(519\) | −0.905243 | + | 5.13389i | −0.00174421 | + | 0.00989188i | ||||
\(520\) | −75.8827 | + | 131.433i | −0.145928 | + | 0.252755i | ||||
\(521\) | 295.433 | − | 170.569i | 0.567051 | − | 0.327387i | −0.188920 | − | 0.981993i | \(-0.560499\pi\) |
0.755971 | + | 0.654606i | \(0.227165\pi\) | |||||||
\(522\) | −115.821 | + | 42.1554i | −0.221879 | + | 0.0807575i | ||||
\(523\) | −131.239 | − | 360.575i | −0.250934 | − | 0.689437i | −0.999648 | − | 0.0265428i | \(-0.991550\pi\) |
0.748713 | − | 0.662894i | \(-0.230672\pi\) | |||||||
\(524\) | −153.520 | − | 265.904i | −0.292977 | − | 0.507451i | ||||
\(525\) | −43.4565 | − | 25.0896i | −0.0827742 | − | 0.0477897i | ||||
\(526\) | 21.4578 | + | 3.78358i | 0.0407942 | + | 0.00719312i | ||||
\(527\) | 144.341 | + | 172.019i | 0.273892 | + | 0.326412i | ||||
\(528\) | 6.40997 | − | 7.63911i | 0.0121401 | − | 0.0144680i | ||||
\(529\) | −85.9139 | − | 487.242i | −0.162408 | − | 0.921062i | ||||
\(530\) | 644.944 | + | 234.740i | 1.21687 | + | 0.442906i | ||||
\(531\) | 628.120i | 1.18290i | ||||||||
\(532\) | −155.211 | − | 246.205i | −0.291751 | − | 0.462791i | ||||
\(533\) | 416.926 | 0.782225 | ||||||||
\(534\) | −9.34366 | + | 25.6715i | −0.0174975 | + | 0.0480739i | ||||
\(535\) | 1264.82 | − | 223.021i | 2.36414 | − | 0.416862i | ||||
\(536\) | 190.568 | + | 159.905i | 0.355537 | + | 0.298331i | ||||
\(537\) | 28.1135 | − | 23.5900i | 0.0523529 | − | 0.0439293i | ||||
\(538\) | −89.8400 | + | 509.508i | −0.166989 | + | 0.947040i | ||||
\(539\) | 68.5176 | − | 118.676i | 0.127120 | − | 0.220178i | ||||
\(540\) | −43.1703 | + | 24.9244i | −0.0799451 | + | 0.0461563i | ||||
\(541\) | −952.539 | + | 346.696i | −1.76070 | + | 0.640843i | −0.999966 | − | 0.00822105i | \(-0.997383\pi\) |
−0.760734 | + | 0.649064i | \(0.775161\pi\) | |||||||
\(542\) | −99.0405 | − | 272.111i | −0.182731 | − | 0.502051i | ||||
\(543\) | −2.80377 | − | 4.85628i | −0.00516349 | − | 0.00894342i | ||||
\(544\) | −85.8571 | − | 49.5696i | −0.157826 | − | 0.0911206i | ||||
\(545\) | 1069.36 | + | 188.556i | 1.96212 | + | 0.345975i | ||||
\(546\) | −8.32114 | − | 9.91675i | −0.0152402 | − | 0.0181626i | ||||
\(547\) | 146.072 | − | 174.081i | 0.267041 | − | 0.318247i | −0.615815 | − | 0.787891i | \(-0.711173\pi\) |
0.882856 | + | 0.469643i | \(0.155618\pi\) | |||||||
\(548\) | −3.06295 | − | 17.3709i | −0.00558933 | − | 0.0316986i | ||||
\(549\) | −264.942 | − | 96.4308i | −0.482589 | − | 0.175648i | ||||
\(550\) | − | 747.647i | − | 1.35936i | ||||||
\(551\) | 156.181 | − | 98.4586i | 0.283449 | − | 0.178691i | ||||
\(552\) | 2.90917 | 0.00527024 | ||||||||
\(553\) | 100.933 | − | 277.310i | 0.182518 | − | 0.501465i | ||||
\(554\) | 408.100 | − | 71.9590i | 0.736642 | − | 0.129890i | ||||
\(555\) | 68.7129 | + | 57.6570i | 0.123807 | + | 0.103886i | ||||
\(556\) | −41.3431 | + | 34.6909i | −0.0743580 | + | 0.0623938i | ||||
\(557\) | 82.2931 | − | 466.707i | 0.147743 | − | 0.837894i | −0.817380 | − | 0.576099i | \(-0.804574\pi\) |
0.965123 | − | 0.261796i | \(-0.0843146\pi\) | |||||||
\(558\) | 81.2617 | − | 140.749i | 0.145630 | − | 0.252239i | ||||
\(559\) | −328.560 | + | 189.694i | −0.587763 | + | 0.339345i | ||||
\(560\) | −227.182 | + | 82.6876i | −0.405683 | + | 0.147656i | ||||
\(561\) | 14.9434 | + | 41.0568i | 0.0266372 | + | 0.0731850i | ||||
\(562\) | 25.7417 | + | 44.5860i | 0.0458038 | + | 0.0793345i | ||||
\(563\) | −61.1462 | − | 35.3028i | −0.108608 | − | 0.0627047i | 0.444712 | − | 0.895674i | \(-0.353306\pi\) |
−0.553320 | + | 0.832969i | \(0.686639\pi\) | |||||||
\(564\) | −16.6846 | − | 2.94195i | −0.0295827 | − | 0.00521622i | ||||
\(565\) | −832.270 | − | 991.861i | −1.47304 | − | 1.75551i | ||||
\(566\) | −354.017 | + | 421.901i | −0.625472 | + | 0.745408i | ||||
\(567\) | 106.621 | + | 604.676i | 0.188044 | + | 1.06645i | ||||
\(568\) | −143.638 | − | 52.2800i | −0.252884 | − | 0.0920422i | ||||
\(569\) | − | 587.682i | − | 1.03283i | −0.856338 | − | 0.516416i | \(-0.827266\pi\) | ||
0.856338 | − | 0.516416i | \(-0.172734\pi\) | |||||||
\(570\) | 27.5981 | − | 25.0489i | 0.0484176 | − | 0.0439455i | ||||
\(571\) | 660.142 | 1.15612 | 0.578058 | − | 0.815996i | \(-0.303811\pi\) | ||||
0.578058 | + | 0.815996i | \(0.303811\pi\) | |||||||
\(572\) | 65.9690 | − | 181.248i | 0.115330 | − | 0.316868i | ||||
\(573\) | 2.57575 | − | 0.454174i | 0.00449520 | − | 0.000792625i | ||||
\(574\) | 508.778 | + | 426.916i | 0.886374 | + | 0.743756i | ||||
\(575\) | 167.083 | − | 140.199i | 0.290578 | − | 0.243824i | ||||
\(576\) | −12.4597 | + | 70.6627i | −0.0216315 | + | 0.122678i | ||||
\(577\) | 98.7741 | − | 171.082i | 0.171186 | − | 0.296502i | −0.767649 | − | 0.640870i | \(-0.778574\pi\) |
0.938835 | + | 0.344368i | \(0.111907\pi\) | |||||||
\(578\) | 22.2210 | − | 12.8293i | 0.0384447 | − | 0.0221960i | ||||
\(579\) | −2.86382 | + | 1.04235i | −0.00494615 | + | 0.00180025i | ||||
\(580\) | −52.4531 | − | 144.114i | −0.0904363 | − | 0.248472i | ||||
\(581\) | 182.100 | + | 315.406i | 0.313425 | + | 0.542867i | ||||
\(582\) | −9.07153 | − | 5.23745i | −0.0155868 | − | 0.00899906i | ||||
\(583\) | −859.019 | − | 151.468i | −1.47345 | − | 0.259808i | ||||
\(584\) | −45.1192 | − | 53.7709i | −0.0772588 | − | 0.0920735i | ||||
\(585\) | −309.346 | + | 368.664i | −0.528797 | + | 0.630195i | ||||
\(586\) | −8.58486 | − | 48.6872i | −0.0146499 | − | 0.0830839i | ||||
\(587\) | 727.174 | + | 264.670i | 1.23880 | + | 0.450885i | 0.876601 | − | 0.481217i | \(-0.159805\pi\) |
0.362195 | + | 0.932102i | \(0.382027\pi\) | |||||||
\(588\) | − | 3.39647i | − | 0.00577631i | ||||||
\(589\) | −74.3077 | + | 231.830i | −0.126159 | + | 0.393599i | ||||
\(590\) | −781.556 | −1.32467 | ||||||||
\(591\) | −4.57572 | + | 12.5717i | −0.00774233 | + | 0.0212719i | ||||
\(592\) | 254.740 | − | 44.9176i | 0.430304 | − | 0.0758743i | ||||
\(593\) | 210.280 | + | 176.446i | 0.354604 | + | 0.297548i | 0.802636 | − | 0.596469i | \(-0.203430\pi\) |
−0.448032 | + | 0.894018i | \(0.647875\pi\) | |||||||
\(594\) | 48.5315 | − | 40.7228i | 0.0817029 | − | 0.0685569i | ||||
\(595\) | 183.937 | − | 1043.16i | 0.309138 | − | 1.75321i | ||||
\(596\) | 0.600172 | − | 1.03953i | 0.00100700 | − | 0.00174418i | ||||
\(597\) | −24.1939 | + | 13.9683i | −0.0405257 | + | 0.0233975i | ||||
\(598\) | 52.8755 | − | 19.2451i | 0.0884206 | − | 0.0321825i | ||||
\(599\) | 19.6728 | + | 54.0506i | 0.0328428 | + | 0.0902348i | 0.955030 | − | 0.296508i | \(-0.0958222\pi\) |
−0.922188 | + | 0.386743i | \(0.873600\pi\) | |||||||
\(600\) | −9.26535 | − | 16.0481i | −0.0154422 | − | 0.0267468i | ||||
\(601\) | 52.5976 | + | 30.3673i | 0.0875169 | + | 0.0505279i | 0.543120 | − | 0.839655i | \(-0.317243\pi\) |
−0.455603 | + | 0.890183i | \(0.650576\pi\) | |||||||
\(602\) | −595.183 | − | 104.947i | −0.988676 | − | 0.174330i | ||||
\(603\) | 507.069 | + | 604.301i | 0.840910 | + | 1.00216i | ||||
\(604\) | −106.202 | + | 126.566i | −0.175831 | + | 0.209547i | ||||
\(605\) | 109.859 | + | 623.039i | 0.181584 | + | 1.02982i | ||||
\(606\) | −28.2110 | − | 10.2680i | −0.0465529 | − | 0.0169439i | ||||
\(607\) | − | 110.710i | − | 0.182388i | −0.995833 | − | 0.0911942i | \(-0.970932\pi\) | ||
0.995833 | − | 0.0911942i | \(-0.0290684\pi\) | |||||||
\(608\) | −4.17833 | − | 107.399i | −0.00687225 | − | 0.176643i | ||||
\(609\) | 13.0816 | 0.0214805 | ||||||||
\(610\) | 119.987 | − | 329.661i | 0.196700 | − | 0.540428i | ||||
\(611\) | −322.713 | + | 56.9029i | −0.528171 | + | 0.0931308i | ||||
\(612\) | −240.826 | − | 202.077i | −0.393507 | − | 0.330191i | ||||
\(613\) | −510.923 | + | 428.715i | −0.833479 | + | 0.699372i | −0.956087 | − | 0.293083i | \(-0.905319\pi\) |
0.122608 | + | 0.992455i | \(0.460874\pi\) | |||||||
\(614\) | 143.409 | − | 813.315i | 0.233566 | − | 1.32462i | ||||
\(615\) | −42.5257 | + | 73.6566i | −0.0691474 | + | 0.119767i | ||||
\(616\) | 266.094 | − | 153.629i | 0.431970 | − | 0.249398i | ||||
\(617\) | 185.212 | − | 67.4117i | 0.300182 | − | 0.109257i | −0.187538 | − | 0.982257i | \(-0.560051\pi\) |
0.487720 | + | 0.873000i | \(0.337829\pi\) | |||||||
\(618\) | 2.26423 | + | 6.22092i | 0.00366380 | + | 0.0100662i | ||||
\(619\) | −83.4932 | − | 144.614i | −0.134884 | − | 0.233626i | 0.790669 | − | 0.612244i | \(-0.209733\pi\) |
−0.925553 | + | 0.378618i | \(0.876399\pi\) | |||||||
\(620\) | 175.131 | + | 101.112i | 0.282470 | + | 0.163084i | ||||
\(621\) | 18.2013 | + | 3.20938i | 0.0293096 | + | 0.00516808i | ||||
\(622\) | −422.807 | − | 503.881i | −0.679753 | − | 0.810099i | ||||
\(623\) | −541.063 | + | 644.814i | −0.868480 | + | 1.03501i | ||||
\(624\) | −0.830144 | − | 4.70798i | −0.00133036 | − | 0.00754484i | ||||
\(625\) | 157.422 | + | 57.2970i | 0.251875 | + | 0.0916752i | ||||
\(626\) | 75.3831i | 0.120420i | ||||||||
\(627\) | −29.0137 | + | 37.4420i | −0.0462739 | + | 0.0597161i | ||||
\(628\) | 424.261 | 0.675575 | ||||||||
\(629\) | −387.622 | + | 1064.98i | −0.616251 | + | 1.69314i | ||||
\(630\) | −754.995 | + | 133.126i | −1.19841 | + | 0.211311i | ||||
\(631\) | 906.586 | + | 760.716i | 1.43675 | + | 1.20557i | 0.941587 | + | 0.336769i | \(0.109334\pi\) |
0.495158 | + | 0.868803i | \(0.335110\pi\) | |||||||
\(632\) | 83.4838 | − | 70.0512i | 0.132095 | − | 0.110840i | ||||
\(633\) | −4.69987 | + | 26.6543i | −0.00742475 | + | 0.0421078i | ||||
\(634\) | −126.254 | + | 218.678i | −0.199139 | + | 0.344918i | ||||
\(635\) | −1256.80 | + | 725.613i | −1.97921 | + | 1.14270i | ||||
\(636\) | −20.3157 | + | 7.39432i | −0.0319430 | + | 0.0116263i | ||||
\(637\) | −22.4687 | − | 61.7324i | −0.0352728 | − | 0.0969111i | ||||
\(638\) | 97.4550 | + | 168.797i | 0.152751 | + | 0.264572i | ||||
\(639\) | −419.777 | − | 242.358i | −0.656928 | − | 0.379277i | ||||
\(640\) | −87.9241 | − | 15.5034i | −0.137381 | − | 0.0242241i | ||||
\(641\) | 12.2870 | + | 14.6430i | 0.0191684 | + | 0.0228440i | 0.775543 | − | 0.631294i | \(-0.217476\pi\) |
−0.756375 | + | 0.654138i | \(0.773031\pi\) | |||||||
\(642\) | −26.0048 | + | 30.9913i | −0.0405060 | + | 0.0482731i | ||||
\(643\) | −96.0756 | − | 544.872i | −0.149418 | − | 0.847390i | −0.963713 | − | 0.266940i | \(-0.913988\pi\) |
0.814295 | − | 0.580451i | \(-0.197124\pi\) | |||||||
\(644\) | 84.2307 | + | 30.6575i | 0.130793 | + | 0.0476047i | ||||
\(645\) | − | 77.3937i | − | 0.119990i | ||||||
\(646\) | 416.666 | + | 219.424i | 0.644994 | + | 0.339665i | ||||
\(647\) | −380.150 | −0.587558 | −0.293779 | − | 0.955873i | \(-0.594913\pi\) | ||||
−0.293779 | + | 0.955873i | \(0.594913\pi\) | |||||||
\(648\) | −77.5517 | + | 213.071i | −0.119678 | + | 0.328814i | ||||
\(649\) | 978.197 | − | 172.483i | 1.50724 | − | 0.265767i | ||||
\(650\) | −274.565 | − | 230.387i | −0.422408 | − | 0.354442i | ||||
\(651\) | −13.2139 | + | 11.0878i | −0.0202978 | + | 0.0170319i | ||||
\(652\) | −27.4253 | + | 155.537i | −0.0420633 | + | 0.238553i | ||||
\(653\) | −69.0609 | + | 119.617i | −0.105759 | + | 0.183181i | −0.914048 | − | 0.405606i | \(-0.867061\pi\) |
0.808289 | + | 0.588786i | \(0.200394\pi\) | |||||||
\(654\) | −29.6218 | + | 17.1022i | −0.0452933 | + | 0.0261501i | ||||
\(655\) | 1138.42 | − | 414.351i | 1.73804 | − | 0.632596i | ||||
\(656\) | 83.8869 | + | 230.477i | 0.127876 | + | 0.351338i | ||||
\(657\) | −111.293 | − | 192.765i | −0.169396 | − | 0.293402i | ||||
\(658\) | −452.075 | − | 261.006i | −0.687044 | − | 0.396665i | ||||
\(659\) | −150.841 | − | 26.5973i | −0.228893 | − | 0.0403601i | 0.0580250 | − | 0.998315i | \(-0.481520\pi\) |
−0.286918 | + | 0.957955i | \(0.592631\pi\) | |||||||
\(660\) | 25.2917 | + | 30.1414i | 0.0383207 | + | 0.0456689i | ||||
\(661\) | −144.889 | + | 172.672i | −0.219197 | + | 0.261229i | −0.864426 | − | 0.502761i | \(-0.832318\pi\) |
0.645229 | + | 0.763990i | \(0.276762\pi\) | |||||||
\(662\) | 140.639 | + | 797.605i | 0.212446 | + | 1.20484i | ||||
\(663\) | 19.6825 | + | 7.16384i | 0.0296870 | + | 0.0108052i | ||||
\(664\) | 134.495i | 0.202553i | ||||||||
\(665\) | 1063.03 | − | 434.420i | 1.59854 | − | 0.653263i | ||||
\(666\) | 820.257 | 1.23162 | ||||||||
\(667\) | −19.4476 | + | 53.4319i | −0.0291569 | + | 0.0801078i | ||||
\(668\) | 280.209 | − | 49.4085i | 0.419475 | − | 0.0739648i | ||||
\(669\) | 13.5376 | + | 11.3594i | 0.0202355 | + | 0.0169796i | ||||
\(670\) | −751.919 | + | 630.935i | −1.12227 | + | 0.941694i | ||||
\(671\) | −77.4225 | + | 439.085i | −0.115384 | + | 0.654374i | ||||
\(672\) | 3.80776 | − | 6.59523i | 0.00566630 | − | 0.00981432i | ||||
\(673\) | 725.158 | − | 418.670i | 1.07750 | − | 0.622096i | 0.147280 | − | 0.989095i | \(-0.452948\pi\) |
0.930221 | + | 0.366999i | \(0.119615\pi\) | |||||||
\(674\) | 131.321 | − | 47.7971i | 0.194839 | − | 0.0709155i | ||||
\(675\) | −40.2647 | − | 110.626i | −0.0596515 | − | 0.163891i | ||||
\(676\) | 122.767 | + | 212.639i | 0.181608 | + | 0.314554i | ||||
\(677\) | −460.661 | − | 265.963i | −0.680445 | − | 0.392855i | 0.119578 | − | 0.992825i | \(-0.461846\pi\) |
−0.800023 | + | 0.599970i | \(0.795179\pi\) | |||||||
\(678\) | 40.1660 | + | 7.08235i | 0.0592419 | + | 0.0104459i | ||||
\(679\) | −207.459 | − | 247.240i | −0.305536 | − | 0.364124i | ||||
\(680\) | 251.440 | − | 299.655i | 0.369765 | − | 0.440669i | ||||
\(681\) | −7.42372 | − | 42.1020i | −0.0109012 | − | 0.0618238i | ||||
\(682\) | −241.510 | − | 87.9023i | −0.354120 | − | 0.128889i | ||||
\(683\) | 72.8240i | 0.106624i | 0.998578 | + | 0.0533118i | \(0.0169777\pi\) | ||||
−0.998578 | + | 0.0533118i | \(0.983022\pi\) | |||||||
\(684\) | 46.0906 | − | 337.695i | 0.0673840 | − | 0.493706i | ||||
\(685\) | 69.5971 | 0.101602 | ||||||||
\(686\) | −145.734 | + | 400.400i | −0.212440 | + | 0.583674i | ||||
\(687\) | −20.4214 | + | 3.60085i | −0.0297255 | + | 0.00524141i | ||||
\(688\) | −170.970 | − | 143.461i | −0.248504 | − | 0.208519i | ||||
\(689\) | −320.332 | + | 268.790i | −0.464923 | + | 0.390116i | ||||
\(690\) | −1.99325 | + | 11.3043i | −0.00288876 | + | 0.0163830i | ||||
\(691\) | 64.2605 | − | 111.303i | 0.0929964 | − | 0.161075i | −0.815774 | − | 0.578370i | \(-0.803689\pi\) |
0.908771 | + | 0.417296i | \(0.137022\pi\) | |||||||
\(692\) | −51.3699 | + | 29.6584i | −0.0742339 | + | 0.0428590i | ||||
\(693\) | 915.574 | − | 333.242i | 1.32118 | − | 0.480868i | ||||
\(694\) | 17.3169 | + | 47.5777i | 0.0249523 | + | 0.0685557i | ||||
\(695\) | −106.473 | − | 184.417i | −0.153199 | − | 0.265348i | ||||
\(696\) | 4.18370 | + | 2.41546i | 0.00601106 | + | 0.00347049i | ||||
\(697\) | −1058.29 | − | 186.605i | −1.51835 | − | 0.267726i | ||||
\(698\) | −174.787 | − | 208.303i | −0.250411 | − | 0.298428i | ||||
\(699\) | −25.0179 | + | 29.8152i | −0.0357910 | + | 0.0426541i | ||||
\(700\) | −99.1464 | − | 562.287i | −0.141638 | − | 0.803268i | ||||
\(701\) | −1048.26 | − | 381.536i | −1.49538 | − | 0.544274i | −0.540520 | − | 0.841331i | \(-0.681772\pi\) |
−0.954860 | + | 0.297058i | \(0.903995\pi\) | |||||||
\(702\) | − | 30.3714i | − | 0.0432641i | ||||||
\(703\) | −1200.81 | + | 260.237i | −1.70812 | + | 0.370181i | ||||
\(704\) | 113.468 | 0.161175 | ||||||||
\(705\) | 22.8633 | − | 62.8163i | 0.0324301 | − | 0.0891011i | ||||
\(706\) | 470.827 | − | 83.0194i | 0.666893 | − | 0.117591i | ||||
\(707\) | −708.602 | − | 594.588i | −1.00227 | − | 0.841001i | ||||
\(708\) | 18.8592 | − | 15.8248i | 0.0266374 | − | 0.0223514i | ||||
\(709\) | −120.164 | + | 681.487i | −0.169484 | + | 0.961194i | 0.774835 | + | 0.632164i | \(0.217833\pi\) |
−0.944319 | + | 0.329030i | \(0.893278\pi\) | |||||||
\(710\) | 301.561 | − | 522.319i | 0.424734 | − | 0.735661i | ||||
\(711\) | 299.283 | − | 172.791i | 0.420933 | − | 0.243026i | ||||
\(712\) | −292.102 | + | 106.316i | −0.410255 | + | 0.149321i | ||||
\(713\) | −25.6437 | − | 70.4555i | −0.0359659 | − | 0.0988156i | ||||
\(714\) | 16.6832 | + | 28.8962i | 0.0233658 | + | 0.0404708i | ||||
\(715\) | 659.083 | + | 380.522i | 0.921795 | + | 0.532198i | ||||
\(716\) | 411.240 | + | 72.5127i | 0.574358 | + | 0.101275i | ||||
\(717\) | −0.239704 | − | 0.285668i | −0.000334315 | − | 0.000398421i | ||||
\(718\) | 581.836 | − | 693.406i | 0.810357 | − | 0.965746i | ||||
\(719\) | −194.748 | − | 1104.47i | −0.270860 | − | 1.53612i | −0.751812 | − | 0.659377i | \(-0.770820\pi\) |
0.480952 | − | 0.876747i | \(-0.340291\pi\) | |||||||
\(720\) | −266.040 | − | 96.8305i | −0.369500 | − | 0.134487i | ||||
\(721\) | 203.978i | 0.282910i | ||||||||
\(722\) | 39.6641 | + | 508.988i | 0.0549365 | + | 0.704969i | ||||
\(723\) | 65.6766 | 0.0908390 | ||||||||
\(724\) | 21.8227 | − | 59.9573i | 0.0301418 | − | 0.0828139i | ||||
\(725\) | 356.688 | − | 62.8938i | 0.491984 | − | 0.0867500i | ||||
\(726\) | −15.2661 | − | 12.8098i | −0.0210277 | − | 0.0176443i | ||||
\(727\) | 850.468 | − | 713.628i | 1.16983 | − | 0.981606i | 0.169840 | − | 0.985472i | \(-0.445675\pi\) |
0.999993 | + | 0.00386540i | \(0.00123040\pi\) | |||||||
\(728\) | 25.5781 | − | 145.061i | 0.0351348 | − | 0.199259i | ||||
\(729\) | −357.014 | + | 618.366i | −0.489731 | + | 0.848239i | ||||
\(730\) | 239.853 | − | 138.479i | 0.328566 | − | 0.189698i | ||||
\(731\) | 918.890 | − | 334.449i | 1.25703 | − | 0.457522i | ||||
\(732\) | 3.77958 | + | 10.3843i | 0.00516336 | + | 0.0141862i | ||||
\(733\) | −36.2072 | − | 62.7127i | −0.0493959 | − | 0.0855562i | 0.840270 | − | 0.542168i | \(-0.182396\pi\) |
−0.889666 | + | 0.456612i | \(0.849063\pi\) | |||||||
\(734\) | 715.697 | + | 413.208i | 0.975064 | + | 0.562954i | ||||
\(735\) | 13.1978 | + | 2.32712i | 0.0179562 | + | 0.00316615i | ||||
\(736\) | 21.2775 | + | 25.3575i | 0.0289096 | + | 0.0344531i | ||||
\(737\) | 801.862 | − | 955.622i | 1.08801 | − | 1.29664i | ||||
\(738\) | 135.057 | + | 765.946i | 0.183004 | + | 1.03787i | ||||
\(739\) | 891.521 | + | 324.487i | 1.20639 | + | 0.439089i | 0.865450 | − | 0.500996i | \(-0.167033\pi\) |
0.340939 | + | 0.940085i | \(0.389255\pi\) | |||||||
\(740\) | 1020.63i | 1.37923i | ||||||||
\(741\) | 4.80957 | + | 22.1927i | 0.00649065 | + | 0.0299497i | ||||
\(742\) | −666.134 | −0.897755 | ||||||||
\(743\) | 428.976 | − | 1178.60i | 0.577356 | − | 1.58627i | −0.215263 | − | 0.976556i | \(-0.569061\pi\) |
0.792619 | − | 0.609717i | \(-0.208717\pi\) | |||||||
\(744\) | −6.27329 | + | 1.10615i | −0.00843184 | + | 0.00148676i | ||||
\(745\) | 3.62812 | + | 3.04435i | 0.00486995 | + | 0.00408638i | ||||
\(746\) | 134.992 | − | 113.272i | 0.180954 | − | 0.151839i | ||||
\(747\) | −74.0596 | + | 420.013i | −0.0991427 | + | 0.562266i | ||||
\(748\) | −248.572 | + | 430.539i | −0.332316 | + | 0.575587i | ||||
\(749\) | −1079.52 | + | 623.263i | −1.44129 | + | 0.832127i | ||||
\(750\) | 22.6239 | − | 8.23441i | 0.0301651 | − | 0.0109792i | ||||
\(751\) | −68.1250 | − | 187.172i | −0.0907124 | − | 0.249230i | 0.886037 | − | 0.463615i | \(-0.153448\pi\) |
−0.976749 | + | 0.214384i | \(0.931226\pi\) | |||||||
\(752\) | −96.3869 | − | 166.947i | −0.128174 | − | 0.222004i | ||||
\(753\) | 35.1035 | + | 20.2670i | 0.0466182 | + | 0.0269150i | ||||
\(754\) | 92.0196 | + | 16.2255i | 0.122042 | + | 0.0215193i | ||||
\(755\) | −419.038 | − | 499.390i | −0.555017 | − | 0.661444i | ||||
\(756\) | 31.0991 | − | 37.0625i | 0.0411364 | − | 0.0490244i | ||||
\(757\) | 96.3498 | + | 546.427i | 0.127278 | + | 0.721832i | 0.979928 | + | 0.199350i | \(0.0638829\pi\) |
−0.852650 | + | 0.522483i | \(0.825006\pi\) | |||||||
\(758\) | −572.256 | − | 208.284i | −0.754955 | − | 0.274781i | ||||
\(759\) | − | 14.5883i | − | 0.0192205i | ||||||
\(760\) | 420.187 | + | 57.3496i | 0.552877 | + | 0.0754600i | ||||
\(761\) | −402.255 | −0.528588 | −0.264294 | − | 0.964442i | \(-0.585139\pi\) | ||||
−0.264294 | + | 0.964442i | \(0.585139\pi\) | |||||||
\(762\) | 15.6350 | − | 42.9568i | 0.0205183 | − | 0.0563737i | ||||
\(763\) | −1037.88 | + | 183.007i | −1.36026 | + | 0.239851i | ||||
\(764\) | 22.7976 | + | 19.1295i | 0.0298398 | + | 0.0250386i | ||||
\(765\) | 950.222 | − | 797.331i | 1.24212 | − | 1.04226i | ||||
\(766\) | −13.6243 | + | 77.2672i | −0.0177863 | + | 0.100871i | ||||
\(767\) | 238.089 | − | 412.383i | 0.310416 | − | 0.537657i | ||||
\(768\) | 2.43555 | − | 1.40617i | 0.00317129 | − | 0.00183095i | ||||
\(769\) | −994.418 | + | 361.939i | −1.29313 | + | 0.470662i | −0.894754 | − | 0.446560i | \(-0.852649\pi\) |
−0.398378 | + | 0.917221i | \(0.630427\pi\) | |||||||
\(770\) | 414.645 | + | 1139.23i | 0.538501 | + | 1.47952i | ||||
\(771\) | −9.20290 | − | 15.9399i | −0.0119363 | − | 0.0206743i | ||||
\(772\) | −30.0313 | − | 17.3386i | −0.0389006 | − | 0.0224593i | ||||
\(773\) | 659.633 | + | 116.311i | 0.853341 | + | 0.150467i | 0.583175 | − | 0.812347i | \(-0.301810\pi\) |
0.270166 | + | 0.962814i | \(0.412921\pi\) | |||||||
\(774\) | −454.924 | − | 542.157i | −0.587757 | − | 0.700461i | ||||
\(775\) | −306.986 | + | 365.852i | −0.396112 | + | 0.472067i | ||||
\(776\) | −20.6968 | − | 117.377i | −0.0266711 | − | 0.151260i | ||||
\(777\) | −81.8080 | − | 29.7757i | −0.105287 | − | 0.0383213i | ||||
\(778\) | − | 9.08713i | − | 0.0116801i | ||||||
\(779\) | −440.721 | − | 1078.45i | −0.565753 | − | 1.38440i | ||||
\(780\) | 18.8627 | 0.0241830 | ||||||||
\(781\) | −262.163 | + | 720.288i | −0.335676 | + | 0.922264i | ||||
\(782\) | −142.828 | + | 25.1845i | −0.182645 | + | 0.0322052i | ||||
\(783\) | 23.5107 | + | 19.7278i | 0.0300264 | + | 0.0251951i | ||||
\(784\) | 29.6050 | − | 24.8415i | 0.0377614 | − | 0.0316856i | ||||
\(785\) | −290.686 | + | 1648.56i | −0.370301 | + | 2.10008i | ||||
\(786\) | −19.0808 | + | 33.0489i | −0.0242758 | + | 0.0420470i | ||||
\(787\) | 218.095 | − | 125.917i | 0.277122 | − | 0.159996i | −0.354998 | − | 0.934867i | \(-0.615518\pi\) |
0.632120 | + | 0.774871i | \(0.282185\pi\) | |||||||
\(788\) | −143.046 | + | 52.0646i | −0.181531 | + | 0.0660718i | ||||
\(789\) | −0.926225 | − | 2.54478i | −0.00117392 | − | 0.00322533i | ||||
\(790\) | 215.001 | + | 372.392i | 0.272153 | + | 0.471382i | ||||
\(791\) | 1088.31 | + | 628.337i | 1.37587 | + | 0.794357i | ||||
\(792\) | 354.346 | + | 62.4807i | 0.447406 | + | 0.0788898i | ||||
\(793\) | 137.391 | + | 163.737i | 0.173255 | + | 0.206477i | ||||
\(794\) | 173.725 | − | 207.038i | 0.218797 | − | 0.260753i | ||||
\(795\) | −14.8128 | − | 84.0078i | −0.0186325 | − | 0.105670i | ||||
\(796\) | −298.706 | − | 108.720i | −0.375258 | − | 0.136583i | ||||
\(797\) | 753.037i | 0.944839i | 0.881374 | + | 0.472420i | \(0.156619\pi\) | ||||
−0.881374 | + | 0.472420i | \(0.843381\pi\) | |||||||
\(798\) | −16.8553 | + | 32.0068i | −0.0211219 | + | 0.0401087i | ||||
\(799\) | 844.614 | 1.05709 | ||||||||
\(800\) | 72.1151 | − | 198.135i | 0.0901439 | − | 0.247668i | ||||
\(801\) | −970.742 | + | 171.168i | −1.21191 | + | 0.213693i | ||||
\(802\) | −30.7848 | − | 25.8315i | −0.0383851 | − | 0.0322089i | ||||
\(803\) | −269.640 | + | 226.255i | −0.335791 | + | 0.281762i | ||||
\(804\) | 5.36905 | − | 30.4494i | 0.00667792 | − | 0.0378724i | ||||
\(805\) | −176.838 | + | 306.293i | −0.219675 | + | 0.380488i | ||||
\(806\) | −106.702 | + | 61.6046i | −0.132385 | + | 0.0764326i | ||||
\(807\) | 60.4251 | − | 21.9929i | 0.0748762 | − | 0.0272527i | ||||
\(808\) | −116.834 | − | 320.998i | −0.144596 | − | 0.397275i | ||||
\(809\) | −503.981 | − | 872.921i | −0.622968 | − | 1.07901i | −0.988930 | − | 0.148383i | \(-0.952593\pi\) |
0.365962 | − | 0.930630i | \(-0.380740\pi\) | |||||||
\(810\) | −774.804 | − | 447.333i | −0.956548 | − | 0.552263i | ||||
\(811\) | −848.346 | − | 149.586i | −1.04605 | − | 0.184447i | −0.375890 | − | 0.926664i | \(-0.622663\pi\) |
−0.670159 | + | 0.742217i | \(0.733774\pi\) | |||||||
\(812\) | 95.6780 | + | 114.025i | 0.117830 | + | 0.140424i | ||||
\(813\) | −23.1345 | + | 27.5706i | −0.0284557 | + | 0.0339122i | ||||
\(814\) | −225.244 | − | 1277.42i | −0.276712 | − | 1.56931i | ||||
\(815\) | −585.583 | − | 213.135i | −0.718506 | − | 0.261515i | ||||
\(816\) | 12.3219i | 0.0151004i | ||||||||
\(817\) | 837.987 | + | 649.355i | 1.02569 | + | 0.794804i | ||||
\(818\) | 657.101 | 0.803302 | ||||||||
\(819\) | 159.755 | − | 438.923i | 0.195061 | − | 0.535926i | ||||
\(820\) | −953.050 | + | 168.048i | −1.16226 | + | 0.204937i | ||||
\(821\) | 483.428 | + | 405.644i | 0.588828 | + | 0.494085i | 0.887833 | − | 0.460166i | \(-0.152210\pi\) |
−0.299005 | + | 0.954252i | \(0.596655\pi\) | |||||||
\(822\) | −1.67941 | + | 1.40919i | −0.00204307 | + | 0.00171434i | ||||
\(823\) | −208.614 | + | 1183.11i | −0.253480 | + | 1.43756i | 0.546464 | + | 0.837483i | \(0.315974\pi\) |
−0.799944 | + | 0.600075i | \(0.795138\pi\) | |||||||
\(824\) | −37.6636 | + | 65.2352i | −0.0457082 | + | 0.0791690i | ||||
\(825\) | −80.4746 | + | 46.4621i | −0.0975450 | + | 0.0563176i | ||||
\(826\) | 712.806 | − | 259.440i | 0.862961 | − | 0.314092i | ||||
\(827\) | −180.497 | − | 495.910i | −0.218255 | − | 0.599650i | 0.781450 | − | 0.623968i | \(-0.214481\pi\) |
−0.999704 | + | 0.0243186i | \(0.992258\pi\) | |||||||
\(828\) | 52.4839 | + | 90.9048i | 0.0633864 | + | 0.109788i | ||||
\(829\) | 1047.85 | + | 604.974i | 1.26399 | + | 0.729764i | 0.973844 | − | 0.227219i | \(-0.0729633\pi\) |
0.290145 | + | 0.956983i | \(0.406297\pi\) | |||||||
\(830\) | −522.613 | − | 92.1507i | −0.629654 | − | 0.111025i | ||||
\(831\) | −33.1066 | − | 39.4549i | −0.0398395 | − | 0.0474788i | ||||
\(832\) | 34.9650 | − | 41.6697i | 0.0420253 | − | 0.0500838i | ||||
\(833\) | 29.4030 | + | 166.753i | 0.0352977 | + | 0.200183i | ||||
\(834\) | 6.30328 | + | 2.29421i | 0.00755789 | + | 0.00275085i | ||||
\(835\) | 1122.67i | 1.34452i | ||||||||
\(836\) | −538.563 | + | 20.9527i | −0.644215 | + | 0.0250630i | ||||
\(837\) | −40.4693 | −0.0483504 | ||||||||
\(838\) | −40.2068 | + | 110.467i | −0.0479795 | + | 0.131823i | ||||
\(839\) | −1078.09 | + | 190.096i | −1.28497 | + | 0.226574i | −0.774088 | − | 0.633078i | \(-0.781791\pi\) |
−0.510879 | + | 0.859653i | \(0.670680\pi\) | |||||||
\(840\) | 23.0184 | + | 19.3147i | 0.0274028 | + | 0.0229937i | ||||
\(841\) | 571.912 | − | 479.891i | 0.680038 | − | 0.570619i | ||||
\(842\) | −28.5209 | + | 161.750i | −0.0338727 | + | 0.192102i | ||||
\(843\) | 3.19941 | − | 5.54154i | 0.00379527 | − | 0.00657360i | ||||
\(844\) | −266.704 | + | 153.981i | −0.316000 | + | 0.182442i | ||||
\(845\) | −910.372 | + | 331.348i | −1.07736 | + | 0.392128i | ||||
\(846\) | −209.076 | − | 574.431i | −0.247134 | − | 0.678996i | ||||
\(847\) | −307.015 | − | 531.765i | −0.362473 | − | 0.627822i | ||||
\(848\) | −213.039 | − | 122.998i | −0.251226 | − | 0.145045i | ||||
\(849\) | 67.4125 | + | 11.8866i | 0.0794022 | + | 0.0140007i | ||||
\(850\) | 593.817 | + | 707.684i | 0.698609 | + | 0.832569i | ||||
\(851\) | 243.238 | − | 289.879i | 0.285826 | − | 0.340634i | ||||
\(852\) | 3.29903 | + | 18.7097i | 0.00387210 | + | 0.0219598i | ||||
\(853\) | −437.740 | − | 159.324i | −0.513177 | − | 0.186781i | 0.0724342 | − | 0.997373i | \(-0.476923\pi\) |
−0.585611 | + | 0.810592i | \(0.699145\pi\) | |||||||
\(854\) | 340.492i | 0.398703i | ||||||||
\(855\) | 1280.61 | + | 410.471i | 1.49779 | + | 0.480083i | ||||
\(856\) | −460.330 | −0.537769 | ||||||||
\(857\) | 238.430 | − | 655.081i | 0.278215 | − | 0.764389i | −0.719350 | − | 0.694648i | \(-0.755560\pi\) |
0.997565 | − | 0.0697414i | \(-0.0222174\pi\) | |||||||
\(858\) | −23.6087 | + | 4.16285i | −0.0275159 | + | 0.00485180i | ||||
\(859\) | 113.716 | + | 95.4187i | 0.132381 | + | 0.111081i | 0.706574 | − | 0.707639i | \(-0.250240\pi\) |
−0.574193 | + | 0.818720i | \(0.694684\pi\) | |||||||
\(860\) | 674.594 | − | 566.052i | 0.784412 | − | 0.658200i | ||||
\(861\) | 14.3343 | − | 81.2939i | 0.0166484 | − | 0.0944180i | ||||
\(862\) | 285.518 | − | 494.531i | 0.331227 | − | 0.573702i | ||||
\(863\) | −300.441 | + | 173.459i | −0.348135 | + | 0.200996i | −0.663864 | − | 0.747854i | \(-0.731084\pi\) |
0.315728 | + | 0.948850i | \(0.397751\pi\) | |||||||
\(864\) | 16.7894 | − | 6.11083i | 0.0194321 | − | 0.00707272i | ||||
\(865\) | −80.0481 | − | 219.930i | −0.0925412 | − | 0.254255i | ||||
\(866\) | −279.313 | − | 483.785i | −0.322533 | − | 0.558643i | ||||
\(867\) | −2.76182 | − | 1.59454i | −0.00318549 | − | 0.00183915i | ||||
\(868\) | −193.290 | − | 34.0823i | −0.222685 | − | 0.0392654i | ||||
\(869\) | −351.279 | − | 418.638i | −0.404234 | − | 0.481747i | ||||
\(870\) | −12.2523 | + | 14.6018i | −0.0140831 | + | 0.0167836i | ||||
\(871\) | −103.848 | − | 588.950i | −0.119228 | − | 0.676177i | ||||
\(872\) | −365.721 | − | 133.112i | −0.419405 | − | 0.152651i | ||||
\(873\) | − | 377.953i | − | 0.432935i | ||||||
\(874\) | −105.674 | − | 116.428i | −0.120908 | − | 0.133213i | ||||
\(875\) | 741.816 | 0.847789 | ||||||||
\(876\) | −2.98385 | + | 8.19806i | −0.00340622 | + | 0.00935852i | ||||
\(877\) | 142.916 | − | 25.1999i | 0.162960 | − | 0.0287342i | −0.0915730 | − | 0.995798i | \(-0.529189\pi\) |
0.254533 | + | 0.967064i | \(0.418078\pi\) | |||||||
\(878\) | 910.473 | + | 763.978i | 1.03699 | + | 0.870134i | ||||
\(879\) | −4.70705 | + | 3.94969i | −0.00535501 | + | 0.00449339i | ||||
\(880\) | −77.7434 | + | 440.905i | −0.0883447 | + | 0.501028i | ||||
\(881\) | 615.934 | − | 1066.83i | 0.699131 | − | 1.21093i | −0.269637 | − | 0.962962i | \(-0.586904\pi\) |
0.968768 | − | 0.247968i | \(-0.0797628\pi\) | |||||||
\(882\) | 106.132 | − | 61.2752i | 0.120331 | − | 0.0694730i | ||||
\(883\) | 262.890 | − | 95.6840i | 0.297723 | − | 0.108362i | −0.188840 | − | 0.982008i | \(-0.560473\pi\) |
0.486563 | + | 0.873646i | \(0.338250\pi\) | |||||||
\(884\) | 81.5133 | + | 223.956i | 0.0922097 | + | 0.253344i | ||||
\(885\) | 48.5693 | + | 84.1245i | 0.0548806 | + | 0.0950559i | ||||
\(886\) | −502.186 | − | 289.937i | −0.566801 | − | 0.327243i | ||||
\(887\) | 980.065 | + | 172.812i | 1.10492 | + | 0.194827i | 0.696211 | − | 0.717837i | \(-0.254868\pi\) |
0.408710 | + | 0.912664i | \(0.365979\pi\) | |||||||
\(888\) | −20.6655 | − | 24.6282i | −0.0232719 | − | 0.0277344i | ||||
\(889\) | 905.375 | − | 1078.98i | 1.01842 | − | 1.21370i | ||||
\(890\) | −212.981 | − | 1207.87i | −0.239304 | − | 1.35716i | ||||
\(891\) | 1068.47 | + | 388.891i | 1.19918 | + | 0.436466i | ||||
\(892\) | 201.080i | 0.225426i | ||||||||
\(893\) | 488.320 | + | 774.600i | 0.546830 | + | 0.867413i | ||||
\(894\) | −0.149189 | −0.000166878 | ||||||||
\(895\) | −563.530 | + | 1548.29i | −0.629643 | + | 1.72993i | ||||
\(896\) | 85.3362 | − | 15.0471i | 0.0952413 | − | 0.0167936i | ||||
\(897\) | −5.35741 | − | 4.49540i | −0.00597258 | − | 0.00501159i | ||||
\(898\) | −927.622 | + | 778.367i | −1.03299 | + | 0.866779i | ||||
\(899\) | 21.6202 | − | 122.614i | 0.0240492 | − | 0.136390i | ||||
\(900\) | 334.310 | − | 579.041i | 0.371455 | − | 0.643379i | ||||
\(901\) | 933.406 | − | 538.902i | 1.03597 | − | 0.598116i | ||||
\(902\) | 1155.75 | − | 420.660i | 1.28132 | − | 0.466363i | ||||
\(903\) | 25.6911 | + | 70.5857i | 0.0284508 | + | 0.0781680i | ||||
\(904\) | 232.039 | + | 401.903i | 0.256680 | + | 0.444583i | ||||
\(905\) | 218.026 | + | 125.877i | 0.240913 | + | 0.139091i | ||||
\(906\) | 20.2231 | + | 3.56588i | 0.0223213 | + | 0.00393585i | ||||
\(907\) | −591.706 | − | 705.168i | −0.652378 | − | 0.777473i | 0.333893 | − | 0.942611i | \(-0.391638\pi\) |
−0.986271 | + | 0.165138i | \(0.947193\pi\) | |||||||
\(908\) | 312.681 | − | 372.639i | 0.344363 | − | 0.410396i | ||||
\(909\) | −188.101 | − | 1066.77i | −0.206932 | − | 1.17357i | ||||
\(910\) | 546.142 | + | 198.780i | 0.600157 | + | 0.218439i | ||||
\(911\) | − | 994.541i | − | 1.09170i | −0.837882 | − | 0.545851i | \(-0.816206\pi\) | ||
0.837882 | − | 0.545851i | \(-0.183794\pi\) | |||||||
\(912\) | −11.3005 | + | 7.12399i | −0.0123909 | + | 0.00781139i | ||||
\(913\) | 674.441 | 0.738708 | ||||||||
\(914\) | −135.619 | + | 372.611i | −0.148380 | + | 0.407671i | ||||
\(915\) | −42.9403 | + | 7.57153i | −0.0469293 | + | 0.00827490i | ||||
\(916\) | −180.747 | − | 151.665i | −0.197322 | − | 0.165573i | ||||
\(917\) | −900.733 | + | 755.804i | −0.982260 | + | 0.824214i | ||||
\(918\) | −13.5934 | + | 77.0922i | −0.0148077 | + | 0.0839784i | ||||
\(919\) | −490.123 | + | 848.918i | −0.533322 | + | 0.923741i | 0.465921 | + | 0.884826i | \(0.345723\pi\) |
−0.999243 | + | 0.0389141i | \(0.987610\pi\) | |||||||
\(920\) | −113.111 | + | 65.3046i | −0.122947 | + | 0.0709833i | ||||
\(921\) | −96.4551 | + | 35.1068i | −0.104729 | + | 0.0381181i | ||||
\(922\) | −17.8705 | − | 49.0988i | −0.0193823 | − | 0.0532525i | ||||
\(923\) | 183.732 | + | 318.233i | 0.199060 | + | 0.344782i | ||||
\(924\) | −33.0724 | − | 19.0944i | −0.0357927 | − | 0.0206649i | ||||
\(925\) | −2373.76 | − | 418.558i | −2.56623 | − | 0.452496i | ||||
\(926\) | −50.8918 | − | 60.6505i | −0.0549587 | − | 0.0654973i | ||||
\(927\) | −153.541 | + | 182.983i | −0.165632 | + | 0.197392i | ||||
\(928\) | 9.54515 | + | 54.1332i | 0.0102857 | + | 0.0583332i | ||||
\(929\) | 854.342 | + | 310.955i | 0.919636 | + | 0.334720i | 0.758094 | − | 0.652145i | \(-0.226131\pi\) |
0.161543 | + | 0.986866i | \(0.448353\pi\) | |||||||
\(930\) | − | 25.1342i | − | 0.0270260i | ||||||
\(931\) | −135.930 | + | 123.375i | −0.146004 | + | 0.132519i | ||||
\(932\) | −442.860 | −0.475172 | ||||||||
\(933\) | −27.9613 | + | 76.8231i | −0.0299693 | + | 0.0823399i | ||||
\(934\) | 143.913 | − | 25.3758i | 0.154083 | − | 0.0271690i | ||||
\(935\) | −1502.65 | − | 1260.87i | −1.60711 | − | 1.34853i | ||||
\(936\) | 132.137 | − | 110.876i | 0.141172 | − | 0.118457i | ||||
\(937\) | 110.933 | − | 629.135i | 0.118392 | − | 0.671435i | −0.866623 | − | 0.498964i | \(-0.833714\pi\) |
0.985015 | − | 0.172471i | \(-0.0551750\pi\) | |||||||
\(938\) | 476.335 | − | 825.036i | 0.507820 | − | 0.879570i | ||||
\(939\) | 8.11403 | − | 4.68464i | 0.00864114 | − | 0.00498896i | ||||
\(940\) | 714.752 | − | 260.148i | 0.760374 | − | 0.276754i | ||||
\(941\) | 435.610 | + | 1196.83i | 0.462923 | + | 1.27187i | 0.923277 | + | 0.384134i | \(0.125500\pi\) |
−0.460355 | + | 0.887735i | \(0.652278\pi\) | |||||||
\(942\) | −26.3654 | − | 45.6663i | −0.0279888 | − | 0.0484780i | ||||
\(943\) | 310.735 | + | 179.403i | 0.329518 | + | 0.190247i | ||||
\(944\) | 275.870 | + | 48.6434i | 0.292235 | + | 0.0515290i | ||||
\(945\) | 122.707 | + | 146.237i | 0.129849 | + | 0.154748i | ||||
\(946\) | −719.401 | + | 857.349i | −0.760466 | + | 0.906289i | ||||
\(947\) | 241.534 | + | 1369.81i | 0.255052 | + | 1.44647i | 0.795939 | + | 0.605377i | \(0.206978\pi\) |
−0.540887 | + | 0.841096i | \(0.681911\pi\) | |||||||
\(948\) | −12.7282 | − | 4.63267i | −0.0134263 | − | 0.00488679i | ||||
\(949\) | 168.743i | 0.177811i | ||||||||
\(950\) | −305.701 | + | 953.745i | −0.321790 | + | 1.00394i | ||||
\(951\) | 31.3839 | 0.0330009 | ||||||||
\(952\) | −129.851 | + | 356.762i | −0.136398 | + | 0.374750i | ||||
\(953\) | −149.367 | + | 26.3375i | −0.156734 | + | 0.0276364i | −0.251464 | − | 0.967867i | \(-0.580912\pi\) |
0.0947307 | + | 0.995503i | \(0.469801\pi\) | |||||||
\(954\) | −597.568 | − | 501.419i | −0.626382 | − | 0.525597i | ||||
\(955\) | −89.9519 | + | 75.4786i | −0.0941905 | + | 0.0790352i | ||||
\(956\) | 0.736818 | − | 4.17870i | 0.000770730 | − | 0.00437103i | ||||
\(957\) | 12.1126 | − | 20.9796i | 0.0126568 | − | 0.0219222i | ||||
\(958\) | −371.229 | + | 214.329i | −0.387505 | + | 0.223726i | ||||
\(959\) | −63.4750 | + | 23.1030i | −0.0661887 | + | 0.0240907i | ||||
\(960\) | 3.79525 | + | 10.4274i | 0.00395338 | + | 0.0108618i | ||||
\(961\) | −398.413 | − | 690.072i | −0.414582 | − | 0.718077i | ||||
\(962\) | −538.528 | − | 310.919i | −0.559800 | − | 0.323201i | ||||
\(963\) | −1437.56 | − | 253.480i | −1.49279 | − | 0.263219i | ||||
\(964\) | 480.354 | + | 572.463i | 0.498292 | + | 0.593842i | ||||
\(965\) | 87.9493 | − | 104.814i | 0.0911391 | − | 0.108615i | ||||
\(966\) | −1.93458 | − | 10.9715i | −0.00200267 | − | 0.0113577i | ||||
\(967\) | −422.801 | − | 153.887i | −0.437229 | − | 0.159139i | 0.114021 | − | 0.993478i | \(-0.463627\pi\) |
−0.551250 | + | 0.834340i | \(0.685849\pi\) | |||||||
\(968\) | − | 226.755i | − | 0.234251i | ||||||
\(969\) | −2.27533 | − | 58.4848i | −0.00234813 | − | 0.0603558i | ||||
\(970\) | 470.278 | 0.484823 | ||||||||
\(971\) | 584.118 | − | 1604.85i | 0.601563 | − | 1.65278i | −0.146545 | − | 0.989204i | \(-0.546815\pi\) |
0.748108 | − | 0.663577i | \(-0.230962\pi\) | |||||||
\(972\) | 83.7421 | − | 14.7660i | 0.0861545 | − | 0.0151914i | ||||
\(973\) | 158.325 | + | 132.851i | 0.162718 | + | 0.136537i | ||||
\(974\) | −197.741 | + | 165.924i | −0.203019 | + | 0.170353i | ||||
\(975\) | −7.73559 | + | 43.8707i | −0.00793394 | + | 0.0449956i | ||||
\(976\) | −62.8702 | + | 108.894i | −0.0644162 | + | 0.111572i | ||||
\(977\) | −0.0962046 | + | 0.0555437i | −9.84694e−5 | + | 5.68513e-5i | −0.500049 | − | 0.865997i | \(-0.666685\pi\) |
0.499951 | + | 0.866054i | \(0.333351\pi\) | |||||||
\(978\) | 18.4458 | − | 6.71374i | 0.0188608 | − | 0.00686476i | ||||
\(979\) | 533.134 | + | 1464.77i | 0.544570 | + | 1.49619i | ||||
\(980\) | 76.2434 | + | 132.057i | 0.0777994 | + | 0.134752i | ||||
\(981\) | −1068.81 | − | 617.076i | −1.08951 | − | 0.629027i | ||||
\(982\) | 1001.54 | + | 176.599i | 1.01990 | + | 0.179836i | ||||
\(983\) | −235.435 | − | 280.581i | −0.239507 | − | 0.285433i | 0.632879 | − | 0.774251i | \(-0.281873\pi\) |
−0.872386 | + | 0.488817i | \(0.837429\pi\) | |||||||
\(984\) | 19.5949 | − | 23.3522i | 0.0199135 | − | 0.0237320i | ||||
\(985\) | −104.299 | − | 591.512i | −0.105888 | − | 0.600520i | ||||
\(986\) | −226.313 | − | 82.3711i | −0.229526 | − | 0.0835407i | ||||
\(987\) | 64.8802i | 0.0657347i | ||||||||
\(988\) | −158.264 | + | 204.238i | −0.160186 | + | 0.206719i | ||||
\(989\) | −326.501 | −0.330132 | ||||||||
\(990\) | −485.567 | + | 1334.08i | −0.490471 | + | 1.34756i | ||||
\(991\) | 53.3698 | − | 9.41054i | 0.0538545 | − | 0.00949600i | −0.146656 | − | 0.989188i | \(-0.546851\pi\) |
0.200511 | + | 0.979692i | \(0.435740\pi\) | |||||||
\(992\) | −55.5240 | − | 46.5902i | −0.0559718 | − | 0.0469659i | ||||
\(993\) | 77.1121 | − | 64.7047i | 0.0776556 | − | 0.0651608i | ||||
\(994\) | −101.648 | + | 576.477i | −0.102262 | + | 0.579957i | ||||
\(995\) | 627.118 | − | 1086.20i | 0.630269 | − | 1.09166i | ||||
\(996\) | 14.4767 | − | 8.35813i | 0.0145348 | − | 0.00839170i | ||||
\(997\) | −382.203 | + | 139.111i | −0.383353 | + | 0.139529i | −0.526506 | − | 0.850171i | \(-0.676498\pi\) |
0.143153 | + | 0.989701i | \(0.454276\pi\) | |||||||
\(998\) | 246.145 | + | 676.278i | 0.246638 | + | 0.677633i | ||||
\(999\) | −102.124 | − | 176.885i | −0.102227 | − | 0.177062i |
(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 | 38.3.f.a.15.3 | ✓ | 24 | |
3.2 | odd | 2 | 342.3.z.b.91.1 | 24 | |||
4.3 | odd | 2 | 304.3.z.c.129.3 | 24 | |||
19.9 | even | 9 | 722.3.b.f.721.19 | 24 | |||
19.10 | odd | 18 | 722.3.b.f.721.6 | 24 | |||
19.14 | odd | 18 | inner | 38.3.f.a.33.3 | yes | 24 | |
57.14 | even | 18 | 342.3.z.b.109.1 | 24 | |||
76.71 | even | 18 | 304.3.z.c.33.3 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.3.f.a.15.3 | ✓ | 24 | 1.1 | even | 1 | trivial | |
38.3.f.a.33.3 | yes | 24 | 19.14 | odd | 18 | inner | |
304.3.z.c.33.3 | 24 | 76.71 | even | 18 | |||
304.3.z.c.129.3 | 24 | 4.3 | odd | 2 | |||
342.3.z.b.91.1 | 24 | 3.2 | odd | 2 | |||
342.3.z.b.109.1 | 24 | 57.14 | even | 18 | |||
722.3.b.f.721.6 | 24 | 19.10 | odd | 18 | |||
722.3.b.f.721.19 | 24 | 19.9 | even | 9 |