Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,3,Mod(69,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.69");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.62944740209\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 69.70 | ||
Character | \(\chi\) | \(=\) | 280.69 |
Dual form | 280.3.c.g.69.71 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.79455 | − | 0.882954i | 0.897273 | − | 0.441477i | ||||
\(3\) | 1.20162i | 0.400539i | 0.979741 | + | 0.200269i | \(0.0641817\pi\) | ||||
−0.979741 | + | 0.200269i | \(0.935818\pi\) | |||||||
\(4\) | 2.44078 | − | 3.16900i | 0.610196 | − | 0.792250i | ||||
\(5\) | −1.26609 | + | 4.83705i | −0.253218 | + | 0.967409i | ||||
\(6\) | 1.06097 | + | 2.15635i | 0.176829 | + | 0.359392i | ||||
\(7\) | −2.96368 | + | 6.34166i | −0.423383 | + | 0.905951i | ||||
\(8\) | 1.58202 | − | 7.84202i | 0.197752 | − | 0.980252i | ||||
\(9\) | 7.55612 | 0.839569 | ||||||||
\(10\) | 1.99884 | + | 9.79820i | 0.199884 | + | 0.979820i | ||||
\(11\) | 6.35173i | 0.577430i | 0.957415 | + | 0.288715i | \(0.0932280\pi\) | ||||
−0.957415 | + | 0.288715i | \(0.906772\pi\) | |||||||
\(12\) | 3.80792 | + | 2.93289i | 0.317327 | + | 0.244407i | ||||
\(13\) | 11.4646i | 0.881890i | 0.897534 | + | 0.440945i | \(0.145357\pi\) | ||||
−0.897534 | + | 0.440945i | \(0.854643\pi\) | |||||||
\(14\) | 0.280929 | + | 13.9972i | 0.0200663 | + | 0.999799i | ||||
\(15\) | −5.81227 | − | 1.52135i | −0.387485 | − | 0.101423i | ||||
\(16\) | −4.08514 | − | 15.4697i | −0.255321 | − | 0.966856i | ||||
\(17\) | 17.8708 | 1.05122 | 0.525611 | − | 0.850725i | \(-0.323837\pi\) | ||||
0.525611 | + | 0.850725i | \(0.323837\pi\) | |||||||
\(18\) | 13.5598 | − | 6.67171i | 0.753322 | − | 0.370650i | ||||
\(19\) | 3.65270 | 0.192248 | 0.0961238 | − | 0.995369i | \(-0.469356\pi\) | ||||
0.0961238 | + | 0.995369i | \(0.469356\pi\) | |||||||
\(20\) | 12.2384 | + | 15.8184i | 0.611918 | + | 0.790921i | ||||
\(21\) | −7.62023 | − | 3.56121i | −0.362868 | − | 0.169581i | ||||
\(22\) | 5.60828 | + | 11.3985i | 0.254922 | + | 0.518112i | ||||
\(23\) | 1.47479i | 0.0641214i | 0.999486 | + | 0.0320607i | \(0.0102070\pi\) | ||||
−0.999486 | + | 0.0320607i | \(0.989793\pi\) | |||||||
\(24\) | 9.42309 | + | 1.90098i | 0.392629 | + | 0.0792073i | ||||
\(25\) | −21.7940 | − | 12.2483i | −0.871762 | − | 0.489930i | ||||
\(26\) | 10.1227 | + | 20.5737i | 0.389334 | + | 0.791296i | ||||
\(27\) | 19.8941i | 0.736818i | ||||||||
\(28\) | 12.8630 | + | 24.8705i | 0.459393 | + | 0.888233i | ||||
\(29\) | 13.9833i | 0.482182i | 0.970503 | + | 0.241091i | \(0.0775052\pi\) | ||||
−0.970503 | + | 0.241091i | \(0.922495\pi\) | |||||||
\(30\) | −11.7737 | + | 2.40183i | −0.392456 | + | 0.0800611i | ||||
\(31\) | − | 31.1953i | − | 1.00630i | −0.864199 | − | 0.503150i | \(-0.832174\pi\) | ||
0.864199 | − | 0.503150i | \(-0.167826\pi\) | |||||||
\(32\) | −20.9900 | − | 24.1541i | −0.655938 | − | 0.754815i | ||||
\(33\) | −7.63234 | −0.231283 | ||||||||
\(34\) | 32.0699 | − | 15.7791i | 0.943232 | − | 0.464090i | ||||
\(35\) | −26.9226 | − | 22.3646i | −0.769217 | − | 0.638988i | ||||
\(36\) | 18.4429 | − | 23.9454i | 0.512302 | − | 0.665149i | ||||
\(37\) | 10.8744 | 0.293902 | 0.146951 | − | 0.989144i | \(-0.453054\pi\) | ||||
0.146951 | + | 0.989144i | \(0.453054\pi\) | |||||||
\(38\) | 6.55494 | − | 3.22517i | 0.172499 | − | 0.0848729i | ||||
\(39\) | −13.7760 | −0.353231 | ||||||||
\(40\) | 35.9292 | + | 17.5810i | 0.898231 | + | 0.439524i | ||||
\(41\) | − | 60.7473i | − | 1.48164i | −0.671703 | − | 0.740821i | \(-0.734437\pi\) | ||
0.671703 | − | 0.740821i | \(-0.265563\pi\) | |||||||
\(42\) | −16.8192 | + | 0.337568i | −0.400458 | + | 0.00803734i | ||||
\(43\) | 34.9718 | 0.813299 | 0.406649 | − | 0.913584i | \(-0.366697\pi\) | ||||
0.406649 | + | 0.913584i | \(0.366697\pi\) | |||||||
\(44\) | 20.1286 | + | 15.5032i | 0.457469 | + | 0.352345i | ||||
\(45\) | −9.56671 | + | 36.5493i | −0.212594 | + | 0.812207i | ||||
\(46\) | 1.30217 | + | 2.64658i | 0.0283081 | + | 0.0575343i | ||||
\(47\) | −54.6600 | −1.16298 | −0.581490 | − | 0.813554i | \(-0.697530\pi\) | ||||
−0.581490 | + | 0.813554i | \(0.697530\pi\) | |||||||
\(48\) | 18.5886 | − | 4.90877i | 0.387263 | − | 0.102266i | ||||
\(49\) | −31.4332 | − | 37.5893i | −0.641493 | − | 0.767129i | ||||
\(50\) | −49.9250 | − | 2.73691i | −0.998501 | − | 0.0547383i | ||||
\(51\) | 21.4738i | 0.421055i | ||||||||
\(52\) | 36.3313 | + | 27.9826i | 0.698678 | + | 0.538126i | ||||
\(53\) | 50.2489 | 0.948093 | 0.474047 | − | 0.880500i | \(-0.342793\pi\) | ||||
0.474047 | + | 0.880500i | \(0.342793\pi\) | |||||||
\(54\) | 17.5656 | + | 35.7008i | 0.325288 | + | 0.661127i | ||||
\(55\) | −30.7236 | − | 8.04185i | −0.558611 | − | 0.146215i | ||||
\(56\) | 45.0428 | + | 33.2738i | 0.804335 | + | 0.594176i | ||||
\(57\) | 4.38915i | 0.0770026i | ||||||||
\(58\) | 12.3466 | + | 25.0936i | 0.212872 | + | 0.432649i | ||||
\(59\) | −48.8348 | −0.827709 | −0.413855 | − | 0.910343i | \(-0.635818\pi\) | ||||
−0.413855 | + | 0.910343i | \(0.635818\pi\) | |||||||
\(60\) | −19.0077 | + | 14.7058i | −0.316794 | + | 0.245097i | ||||
\(61\) | 13.3248 | 0.218440 | 0.109220 | − | 0.994018i | \(-0.465165\pi\) | ||||
0.109220 | + | 0.994018i | \(0.465165\pi\) | |||||||
\(62\) | −27.5440 | − | 55.9814i | −0.444258 | − | 0.902925i | ||||
\(63\) | −22.3939 | + | 47.9183i | −0.355459 | + | 0.760608i | ||||
\(64\) | −58.9945 | − | 24.8124i | −0.921788 | − | 0.387694i | ||||
\(65\) | −55.4547 | − | 14.5152i | −0.853149 | − | 0.223310i | ||||
\(66\) | −13.6966 | + | 6.73900i | −0.207524 | + | 0.102106i | ||||
\(67\) | −105.220 | −1.57045 | −0.785224 | − | 0.619212i | \(-0.787452\pi\) | ||||
−0.785224 | + | 0.619212i | \(0.787452\pi\) | |||||||
\(68\) | 43.6187 | − | 56.6325i | 0.641451 | − | 0.832830i | ||||
\(69\) | −1.77213 | −0.0256831 | ||||||||
\(70\) | −68.0607 | − | 16.3628i | −0.972296 | − | 0.233754i | ||||
\(71\) | 65.2930 | 0.919620 | 0.459810 | − | 0.888017i | \(-0.347917\pi\) | ||||
0.459810 | + | 0.888017i | \(0.347917\pi\) | |||||||
\(72\) | 11.9539 | − | 59.2552i | 0.166026 | − | 0.822989i | ||||
\(73\) | 97.4832 | 1.33539 | 0.667693 | − | 0.744437i | \(-0.267282\pi\) | ||||
0.667693 | + | 0.744437i | \(0.267282\pi\) | |||||||
\(74\) | 19.5146 | − | 9.60159i | 0.263711 | − | 0.129751i | ||||
\(75\) | 14.7177 | − | 26.1881i | 0.196236 | − | 0.349174i | ||||
\(76\) | 8.91547 | − | 11.5754i | 0.117309 | − | 0.152308i | ||||
\(77\) | −40.2805 | − | 18.8245i | −0.523123 | − | 0.244474i | ||||
\(78\) | −24.7217 | + | 12.1636i | −0.316945 | + | 0.155943i | ||||
\(79\) | −12.8701 | −0.162913 | −0.0814563 | − | 0.996677i | \(-0.525957\pi\) | ||||
−0.0814563 | + | 0.996677i | \(0.525957\pi\) | |||||||
\(80\) | 79.9998 | − | 0.174010i | 0.999998 | − | 0.00217513i | ||||
\(81\) | 44.1000 | 0.544445 | ||||||||
\(82\) | −53.6371 | − | 109.014i | −0.654111 | − | 1.32944i | ||||
\(83\) | − | 140.293i | − | 1.69027i | −0.534550 | − | 0.845137i | \(-0.679519\pi\) | ||
0.534550 | − | 0.845137i | \(-0.320481\pi\) | |||||||
\(84\) | −29.8848 | + | 15.4564i | −0.355772 | + | 0.184005i | ||||
\(85\) | −22.6260 | + | 86.4417i | −0.266188 | + | 1.01696i | ||||
\(86\) | 62.7586 | − | 30.8785i | 0.729751 | − | 0.359053i | ||||
\(87\) | −16.8025 | −0.193132 | ||||||||
\(88\) | 49.8104 | + | 10.0485i | 0.566027 | + | 0.114188i | ||||
\(89\) | 25.4993i | 0.286509i | 0.989686 | + | 0.143255i | \(0.0457568\pi\) | ||||
−0.989686 | + | 0.143255i | \(0.954243\pi\) | |||||||
\(90\) | 15.1035 | + | 74.0363i | 0.167816 | + | 0.822626i | ||||
\(91\) | −72.7044 | − | 33.9774i | −0.798949 | − | 0.373378i | ||||
\(92\) | 4.67362 | + | 3.59965i | 0.0508002 | + | 0.0391266i | ||||
\(93\) | 37.4848 | 0.403062 | ||||||||
\(94\) | −98.0899 | + | 48.2623i | −1.04351 | + | 0.513429i | ||||
\(95\) | −4.62465 | + | 17.6683i | −0.0486805 | + | 0.185982i | ||||
\(96\) | 29.0239 | − | 25.2219i | 0.302333 | − | 0.262728i | ||||
\(97\) | 117.389 | 1.21019 | 0.605097 | − | 0.796152i | \(-0.293134\pi\) | ||||
0.605097 | + | 0.796152i | \(0.293134\pi\) | |||||||
\(98\) | −89.5979 | − | 39.7016i | −0.914264 | − | 0.405119i | ||||
\(99\) | 47.9944i | 0.484792i | ||||||||
\(100\) | −92.0093 | + | 39.1700i | −0.920093 | + | 0.391700i | ||||
\(101\) | −83.2390 | −0.824148 | −0.412074 | − | 0.911150i | \(-0.635196\pi\) | ||||
−0.412074 | + | 0.911150i | \(0.635196\pi\) | |||||||
\(102\) | 18.9604 | + | 38.5357i | 0.185886 | + | 0.377801i | ||||
\(103\) | −157.514 | −1.52926 | −0.764631 | − | 0.644468i | \(-0.777079\pi\) | ||||
−0.764631 | + | 0.644468i | \(0.777079\pi\) | |||||||
\(104\) | 89.9054 | + | 18.1371i | 0.864475 | + | 0.174396i | ||||
\(105\) | 26.8736 | − | 32.3506i | 0.255939 | − | 0.308101i | ||||
\(106\) | 90.1740 | − | 44.3675i | 0.850698 | − | 0.418561i | ||||
\(107\) | −89.9587 | −0.840735 | −0.420368 | − | 0.907354i | \(-0.638099\pi\) | ||||
−0.420368 | + | 0.907354i | \(0.638099\pi\) | |||||||
\(108\) | 63.0444 | + | 48.5572i | 0.583745 | + | 0.449604i | ||||
\(109\) | − | 38.4998i | − | 0.353210i | −0.984282 | − | 0.176605i | \(-0.943489\pi\) | ||
0.984282 | − | 0.176605i | \(-0.0565115\pi\) | |||||||
\(110\) | −62.2355 | + | 12.6961i | −0.565777 | + | 0.115419i | ||||
\(111\) | 13.0668i | 0.117719i | ||||||||
\(112\) | 110.211 | + | 19.9407i | 0.984023 | + | 0.178042i | ||||
\(113\) | − | 146.901i | − | 1.30001i | −0.759930 | − | 0.650005i | \(-0.774767\pi\) | ||
0.759930 | − | 0.650005i | \(-0.225233\pi\) | |||||||
\(114\) | 3.87541 | + | 7.87652i | 0.0339949 | + | 0.0690923i | ||||
\(115\) | −7.13363 | − | 1.86722i | −0.0620316 | − | 0.0162367i | ||||
\(116\) | 44.3130 | + | 34.1302i | 0.382009 | + | 0.294226i | ||||
\(117\) | 86.6277i | 0.740408i | ||||||||
\(118\) | −87.6363 | + | 43.1189i | −0.742681 | + | 0.365415i | ||||
\(119\) | −52.9632 | + | 113.330i | −0.445069 | + | 0.952354i | ||||
\(120\) | −21.1256 | + | 43.1731i | −0.176046 | + | 0.359776i | ||||
\(121\) | 80.6555 | 0.666575 | ||||||||
\(122\) | 23.9120 | − | 11.7652i | 0.196000 | − | 0.0964361i | ||||
\(123\) | 72.9949 | 0.593455 | ||||||||
\(124\) | −98.8579 | − | 76.1410i | −0.797241 | − | 0.614040i | ||||
\(125\) | 86.8386 | − | 89.9114i | 0.694709 | − | 0.719291i | ||||
\(126\) | 2.12273 | + | 105.764i | 0.0168471 | + | 0.839400i | ||||
\(127\) | 162.061i | 1.27607i | 0.770008 | + | 0.638034i | \(0.220252\pi\) | ||||
−0.770008 | + | 0.638034i | \(0.779748\pi\) | |||||||
\(128\) | −127.776 | + | 7.56243i | −0.998253 | + | 0.0590815i | ||||
\(129\) | 42.0227i | 0.325757i | ||||||||
\(130\) | −112.332 | + | 22.9158i | −0.864094 | + | 0.176276i | ||||
\(131\) | 17.0555 | 0.130195 | 0.0650975 | − | 0.997879i | \(-0.479264\pi\) | ||||
0.0650975 | + | 0.997879i | \(0.479264\pi\) | |||||||
\(132\) | −18.6289 | + | 24.1869i | −0.141128 | + | 0.183234i | ||||
\(133\) | −10.8255 | + | 23.1642i | −0.0813944 | + | 0.174167i | ||||
\(134\) | −188.822 | + | 92.9044i | −1.40912 | + | 0.693316i | ||||
\(135\) | −96.2287 | − | 25.1877i | −0.712805 | − | 0.186575i | ||||
\(136\) | 28.2718 | − | 140.143i | 0.207881 | − | 1.03046i | ||||
\(137\) | 122.950i | 0.897447i | 0.893671 | + | 0.448724i | \(0.148121\pi\) | ||||
−0.893671 | + | 0.448724i | \(0.851879\pi\) | |||||||
\(138\) | −3.18017 | + | 1.56471i | −0.0230447 | + | 0.0113385i | ||||
\(139\) | 233.445 | 1.67946 | 0.839730 | − | 0.543004i | \(-0.182713\pi\) | ||||
0.839730 | + | 0.543004i | \(0.182713\pi\) | |||||||
\(140\) | −136.586 | + | 30.7307i | −0.975611 | + | 0.219505i | ||||
\(141\) | − | 65.6803i | − | 0.465818i | ||||||
\(142\) | 117.171 | − | 57.6507i | 0.825150 | − | 0.405991i | ||||
\(143\) | −72.8199 | −0.509230 | ||||||||
\(144\) | −30.8678 | − | 116.891i | −0.214360 | − | 0.811742i | ||||
\(145\) | −67.6378 | − | 17.7041i | −0.466467 | − | 0.122097i | ||||
\(146\) | 174.938 | − | 86.0732i | 1.19821 | − | 0.589542i | ||||
\(147\) | 45.1679 | − | 37.7706i | 0.307265 | − | 0.256943i | ||||
\(148\) | 26.5420 | − | 34.4610i | 0.179338 | − | 0.232844i | ||||
\(149\) | − | 213.221i | − | 1.43101i | −0.698607 | − | 0.715505i | \(-0.746196\pi\) | ||
0.698607 | − | 0.715505i | \(-0.253804\pi\) | |||||||
\(150\) | 3.28872 | − | 59.9907i | 0.0219248 | − | 0.399938i | ||||
\(151\) | 87.8507 | 0.581793 | 0.290896 | − | 0.956755i | \(-0.406047\pi\) | ||||
0.290896 | + | 0.956755i | \(0.406047\pi\) | |||||||
\(152\) | 5.77864 | − | 28.6446i | 0.0380173 | − | 0.188451i | ||||
\(153\) | 135.034 | 0.882572 | ||||||||
\(154\) | −88.9063 | + | 1.78438i | −0.577314 | + | 0.0115869i | ||||
\(155\) | 150.893 | + | 39.4960i | 0.973504 | + | 0.254813i | ||||
\(156\) | −33.6243 | + | 43.6562i | −0.215540 | + | 0.279848i | ||||
\(157\) | 104.488i | 0.665530i | 0.943010 | + | 0.332765i | \(0.107982\pi\) | ||||
−0.943010 | + | 0.332765i | \(0.892018\pi\) | |||||||
\(158\) | −23.0960 | + | 11.3637i | −0.146177 | + | 0.0719222i | ||||
\(159\) | 60.3799i | 0.379748i | ||||||||
\(160\) | 143.410 | − | 70.9484i | 0.896310 | − | 0.443428i | ||||
\(161\) | −9.35262 | − | 4.37081i | −0.0580908 | − | 0.0271479i | ||||
\(162\) | 79.1395 | − | 38.9383i | 0.488515 | − | 0.240360i | ||||
\(163\) | −110.004 | −0.674873 | −0.337437 | − | 0.941348i | \(-0.609560\pi\) | ||||
−0.337437 | + | 0.941348i | \(0.609560\pi\) | |||||||
\(164\) | −192.508 | − | 148.271i | −1.17383 | − | 0.904092i | ||||
\(165\) | 9.66321 | − | 36.9180i | 0.0585649 | − | 0.223745i | ||||
\(166\) | −123.872 | − | 251.762i | −0.746217 | − | 1.51664i | ||||
\(167\) | 114.859 | 0.687779 | 0.343889 | − | 0.939010i | \(-0.388255\pi\) | ||||
0.343889 | + | 0.939010i | \(0.388255\pi\) | |||||||
\(168\) | −39.9824 | + | 54.1241i | −0.237990 | + | 0.322167i | ||||
\(169\) | 37.5635 | 0.222269 | ||||||||
\(170\) | 35.7207 | + | 175.101i | 0.210122 | + | 1.03001i | ||||
\(171\) | 27.6003 | 0.161405 | ||||||||
\(172\) | 85.3587 | − | 110.826i | 0.496272 | − | 0.644336i | ||||
\(173\) | 81.3690i | 0.470341i | 0.971954 | + | 0.235170i | \(0.0755648\pi\) | ||||
−0.971954 | + | 0.235170i | \(0.924435\pi\) | |||||||
\(174\) | −30.1529 | + | 14.8359i | −0.173292 | + | 0.0852635i | ||||
\(175\) | 142.265 | − | 101.910i | 0.812942 | − | 0.582345i | ||||
\(176\) | 98.2593 | − | 25.9477i | 0.558292 | − | 0.147430i | ||||
\(177\) | − | 58.6807i | − | 0.331529i | ||||||
\(178\) | 22.5147 | + | 45.7597i | 0.126487 | + | 0.257077i | ||||
\(179\) | 199.041i | 1.11196i | 0.831196 | + | 0.555979i | \(0.187657\pi\) | ||||
−0.831196 | + | 0.555979i | \(0.812343\pi\) | |||||||
\(180\) | 92.4745 | + | 119.526i | 0.513747 | + | 0.664033i | ||||
\(181\) | 271.498 | 1.49999 | 0.749993 | − | 0.661445i | \(-0.230057\pi\) | ||||
0.749993 | + | 0.661445i | \(0.230057\pi\) | |||||||
\(182\) | −160.472 | + | 3.22073i | −0.881713 | + | 0.0176963i | ||||
\(183\) | 16.0113i | 0.0874935i | ||||||||
\(184\) | 11.5653 | + | 2.33314i | 0.0628551 | + | 0.0126801i | ||||
\(185\) | −13.7679 | + | 52.5999i | −0.0744213 | + | 0.284324i | ||||
\(186\) | 67.2681 | − | 33.0973i | 0.361656 | − | 0.177943i | ||||
\(187\) | 113.510i | 0.607006i | ||||||||
\(188\) | −133.413 | + | 173.218i | −0.709646 | + | 0.921371i | ||||
\(189\) | −126.161 | − | 58.9598i | −0.667521 | − | 0.311956i | ||||
\(190\) | 7.30116 | + | 35.7899i | 0.0384272 | + | 0.188368i | ||||
\(191\) | 152.273 | 0.797240 | 0.398620 | − | 0.917116i | \(-0.369489\pi\) | ||||
0.398620 | + | 0.917116i | \(0.369489\pi\) | |||||||
\(192\) | 29.8150 | − | 70.8887i | 0.155286 | − | 0.369212i | ||||
\(193\) | − | 178.881i | − | 0.926843i | −0.886138 | − | 0.463422i | \(-0.846622\pi\) | ||
0.886138 | − | 0.463422i | \(-0.153378\pi\) | |||||||
\(194\) | 210.660 | − | 103.649i | 1.08587 | − | 0.534273i | ||||
\(195\) | 17.4417 | − | 66.6352i | 0.0894444 | − | 0.341719i | ||||
\(196\) | −195.842 | + | 7.86442i | −0.999195 | + | 0.0401246i | ||||
\(197\) | −271.801 | −1.37970 | −0.689849 | − | 0.723953i | \(-0.742323\pi\) | ||||
−0.689849 | + | 0.723953i | \(0.742323\pi\) | |||||||
\(198\) | 42.3769 | + | 86.1282i | 0.214025 | + | 0.434991i | ||||
\(199\) | 39.6863i | 0.199429i | 0.995016 | + | 0.0997144i | \(0.0317929\pi\) | ||||
−0.995016 | + | 0.0997144i | \(0.968207\pi\) | |||||||
\(200\) | −130.530 | + | 151.532i | −0.652648 | + | 0.757661i | ||||
\(201\) | − | 126.434i | − | 0.629025i | ||||||
\(202\) | −149.376 | + | 73.4962i | −0.739486 | + | 0.363843i | ||||
\(203\) | −88.6771 | − | 41.4420i | −0.436833 | − | 0.204148i | ||||
\(204\) | 68.0505 | + | 52.4129i | 0.333581 | + | 0.256926i | ||||
\(205\) | 293.838 | + | 76.9114i | 1.43335 | + | 0.375178i | ||||
\(206\) | −282.666 | + | 139.078i | −1.37217 | + | 0.675134i | ||||
\(207\) | 11.1437i | 0.0538343i | ||||||||
\(208\) | 177.354 | − | 46.8344i | 0.852661 | − | 0.225165i | ||||
\(209\) | 23.2010i | 0.111010i | ||||||||
\(210\) | 19.6618 | − | 81.7828i | 0.0936276 | − | 0.389442i | ||||
\(211\) | − | 415.917i | − | 1.97117i | −0.169182 | − | 0.985585i | \(-0.554113\pi\) | ||
0.169182 | − | 0.985585i | \(-0.445887\pi\) | |||||||
\(212\) | 122.647 | − | 159.239i | 0.578523 | − | 0.751127i | ||||
\(213\) | 78.4571i | 0.368343i | ||||||||
\(214\) | −161.435 | + | 79.4294i | −0.754369 | + | 0.371165i | ||||
\(215\) | −44.2774 | + | 169.160i | −0.205942 | + | 0.786793i | ||||
\(216\) | 156.010 | + | 31.4728i | 0.722268 | + | 0.145707i | ||||
\(217\) | 197.830 | + | 92.4529i | 0.911658 | + | 0.426050i | ||||
\(218\) | −33.9936 | − | 69.0897i | −0.155934 | − | 0.316925i | ||||
\(219\) | 117.137i | 0.534874i | ||||||||
\(220\) | −100.474 | + | 77.7347i | −0.456702 | + | 0.353340i | ||||
\(221\) | 204.881i | 0.927062i | ||||||||
\(222\) | 11.5374 | + | 23.4490i | 0.0519703 | + | 0.105626i | ||||
\(223\) | 80.3875 | 0.360482 | 0.180241 | − | 0.983622i | \(-0.442312\pi\) | ||||
0.180241 | + | 0.983622i | \(0.442312\pi\) | |||||||
\(224\) | 215.385 | − | 61.5263i | 0.961538 | − | 0.274671i | ||||
\(225\) | −164.678 | − | 92.5493i | −0.731904 | − | 0.411330i | ||||
\(226\) | −129.707 | − | 263.621i | −0.573925 | − | 1.16646i | ||||
\(227\) | 115.865i | 0.510417i | 0.966886 | + | 0.255208i | \(0.0821441\pi\) | ||||
−0.966886 | + | 0.255208i | \(0.917856\pi\) | |||||||
\(228\) | 13.9092 | + | 10.7130i | 0.0610053 | + | 0.0469867i | ||||
\(229\) | 368.810 | 1.61052 | 0.805262 | − | 0.592919i | \(-0.202025\pi\) | ||||
0.805262 | + | 0.592919i | \(0.202025\pi\) | |||||||
\(230\) | −14.4503 | + | 2.94787i | −0.0628274 | + | 0.0128168i | ||||
\(231\) | 22.6198 | − | 48.4016i | 0.0979213 | − | 0.209531i | ||||
\(232\) | 109.657 | + | 22.1218i | 0.472660 | + | 0.0953524i | ||||
\(233\) | 298.852i | 1.28263i | 0.767280 | + | 0.641313i | \(0.221610\pi\) | ||||
−0.767280 | + | 0.641313i | \(0.778390\pi\) | |||||||
\(234\) | 76.4883 | + | 155.457i | 0.326873 | + | 0.664348i | ||||
\(235\) | 69.2044 | − | 264.393i | 0.294487 | − | 1.12508i | ||||
\(236\) | −119.195 | + | 154.758i | −0.505065 | + | 0.655753i | ||||
\(237\) | − | 15.4649i | − | 0.0652528i | ||||||
\(238\) | 5.02041 | + | 250.140i | 0.0210941 | + | 1.05101i | ||||
\(239\) | −52.4564 | −0.219483 | −0.109741 | − | 0.993960i | \(-0.535002\pi\) | ||||
−0.109741 | + | 0.993960i | \(0.535002\pi\) | |||||||
\(240\) | 0.209094 | + | 96.1290i | 0.000871223 | + | 0.400538i | ||||
\(241\) | 389.409i | 1.61580i | 0.589317 | + | 0.807902i | \(0.299397\pi\) | ||||
−0.589317 | + | 0.807902i | \(0.700603\pi\) | |||||||
\(242\) | 144.740 | − | 71.2151i | 0.598099 | − | 0.294277i | ||||
\(243\) | 232.038i | 0.954889i | ||||||||
\(244\) | 32.5230 | − | 42.2264i | 0.133291 | − | 0.173059i | ||||
\(245\) | 221.618 | − | 104.452i | 0.904565 | − | 0.426336i | ||||
\(246\) | 130.993 | − | 64.4511i | 0.532490 | − | 0.261997i | ||||
\(247\) | 41.8767i | 0.169541i | ||||||||
\(248\) | −244.634 | − | 49.3514i | −0.986428 | − | 0.198998i | ||||
\(249\) | 168.578 | 0.677020 | ||||||||
\(250\) | 76.4481 | − | 238.025i | 0.305792 | − | 0.952098i | ||||
\(251\) | −21.5558 | −0.0858796 | −0.0429398 | − | 0.999078i | \(-0.513672\pi\) | ||||
−0.0429398 | + | 0.999078i | \(0.513672\pi\) | |||||||
\(252\) | 97.1944 | + | 187.925i | 0.385692 | + | 0.745733i | ||||
\(253\) | −9.36747 | −0.0370256 | ||||||||
\(254\) | 143.092 | + | 290.825i | 0.563355 | + | 1.14498i | ||||
\(255\) | −103.870 | − | 27.1877i | −0.407332 | − | 0.106618i | ||||
\(256\) | −222.623 | + | 126.392i | −0.869622 | + | 0.493718i | ||||
\(257\) | −287.660 | −1.11930 | −0.559649 | − | 0.828729i | \(-0.689064\pi\) | ||||
−0.559649 | + | 0.828729i | \(0.689064\pi\) | |||||||
\(258\) | 37.1041 | + | 75.4117i | 0.143814 | + | 0.292293i | ||||
\(259\) | −32.2282 | + | 68.9616i | −0.124433 | + | 0.266261i | ||||
\(260\) | −181.352 | + | 140.308i | −0.697506 | + | 0.539645i | ||||
\(261\) | 105.659i | 0.404825i | ||||||||
\(262\) | 30.6070 | − | 15.0593i | 0.116820 | − | 0.0574781i | ||||
\(263\) | − | 222.984i | − | 0.847850i | −0.905697 | − | 0.423925i | \(-0.860652\pi\) | ||
0.905697 | − | 0.423925i | \(-0.139348\pi\) | |||||||
\(264\) | −12.0745 | + | 59.8529i | −0.0457367 | + | 0.226716i | ||||
\(265\) | −63.6196 | + | 243.056i | −0.240074 | + | 0.917194i | ||||
\(266\) | 1.02615 | + | 51.1276i | 0.00385770 | + | 0.192209i | ||||
\(267\) | −30.6404 | −0.114758 | ||||||||
\(268\) | −256.819 | + | 333.442i | −0.958281 | + | 1.24419i | ||||
\(269\) | −473.218 | −1.75917 | −0.879587 | − | 0.475738i | \(-0.842181\pi\) | ||||
−0.879587 | + | 0.475738i | \(0.842181\pi\) | |||||||
\(270\) | −194.926 | + | 39.7650i | −0.721949 | + | 0.147278i | ||||
\(271\) | 289.845i | 1.06954i | 0.844998 | + | 0.534769i | \(0.179601\pi\) | ||||
−0.844998 | + | 0.534769i | \(0.820399\pi\) | |||||||
\(272\) | −73.0046 | − | 276.455i | −0.268399 | − | 1.01638i | ||||
\(273\) | 40.8277 | − | 87.3627i | 0.149552 | − | 0.320010i | ||||
\(274\) | 108.559 | + | 220.640i | 0.396202 | + | 0.805255i | ||||
\(275\) | 77.7976 | − | 138.430i | 0.282900 | − | 0.503381i | ||||
\(276\) | −4.32539 | + | 5.61589i | −0.0156717 | + | 0.0203474i | ||||
\(277\) | 76.0683 | 0.274615 | 0.137307 | − | 0.990528i | \(-0.456155\pi\) | ||||
0.137307 | + | 0.990528i | \(0.456155\pi\) | |||||||
\(278\) | 418.928 | − | 206.121i | 1.50693 | − | 0.741443i | ||||
\(279\) | − | 235.715i | − | 0.844858i | ||||||
\(280\) | −217.975 | + | 175.746i | −0.778483 | + | 0.627666i | ||||
\(281\) | −38.4073 | −0.136681 | −0.0683403 | − | 0.997662i | \(-0.521770\pi\) | ||||
−0.0683403 | + | 0.997662i | \(0.521770\pi\) | |||||||
\(282\) | −57.9927 | − | 117.866i | −0.205648 | − | 0.417966i | ||||
\(283\) | − | 36.9983i | − | 0.130736i | −0.997861 | − | 0.0653680i | \(-0.979178\pi\) | ||
0.997861 | − | 0.0653680i | \(-0.0208221\pi\) | |||||||
\(284\) | 159.366 | − | 206.914i | 0.561149 | − | 0.728569i | ||||
\(285\) | −21.2305 | − | 5.55705i | −0.0744930 | − | 0.0194984i | ||||
\(286\) | −130.679 | + | 64.2966i | −0.456918 | + | 0.224813i | ||||
\(287\) | 385.238 | + | 180.036i | 1.34229 | + | 0.627302i | ||||
\(288\) | −158.603 | − | 182.511i | −0.550705 | − | 0.633719i | ||||
\(289\) | 30.3640 | 0.105066 | ||||||||
\(290\) | −137.011 | + | 27.9503i | −0.472451 | + | 0.0963803i | ||||
\(291\) | 141.056i | 0.484729i | ||||||||
\(292\) | 237.935 | − | 308.924i | 0.814848 | − | 1.05796i | ||||
\(293\) | − | 444.003i | − | 1.51537i | −0.652621 | − | 0.757684i | \(-0.726331\pi\) | ||
0.652621 | − | 0.757684i | \(-0.273669\pi\) | |||||||
\(294\) | 47.7061 | − | 107.662i | 0.162266 | − | 0.366198i | ||||
\(295\) | 61.8292 | − | 236.216i | 0.209591 | − | 0.800734i | ||||
\(296\) | 17.2035 | − | 85.2771i | 0.0581198 | − | 0.288098i | ||||
\(297\) | −126.362 | −0.425461 | ||||||||
\(298\) | −188.264 | − | 382.634i | −0.631758 | − | 1.28401i | ||||
\(299\) | −16.9079 | −0.0565480 | ||||||||
\(300\) | −47.0673 | − | 110.560i | −0.156891 | − | 0.368533i | ||||
\(301\) | −103.645 | + | 221.779i | −0.344337 | + | 0.736809i | ||||
\(302\) | 157.652 | − | 77.5681i | 0.522027 | − | 0.256848i | ||||
\(303\) | − | 100.021i | − | 0.330103i | ||||||
\(304\) | −14.9218 | − | 56.5062i | −0.0490849 | − | 0.185876i | ||||
\(305\) | −16.8704 | + | 64.4528i | −0.0553128 | + | 0.211321i | ||||
\(306\) | 242.324 | − | 119.228i | 0.791908 | − | 0.389635i | ||||
\(307\) | − | 218.485i | − | 0.711676i | −0.934548 | − | 0.355838i | \(-0.884195\pi\) | ||
0.934548 | − | 0.355838i | \(-0.115805\pi\) | |||||||
\(308\) | −157.971 | + | 81.7023i | −0.512892 | + | 0.265267i | ||||
\(309\) | − | 189.271i | − | 0.612529i | ||||||
\(310\) | 305.658 | − | 62.3543i | 0.985992 | − | 0.201143i | ||||
\(311\) | − | 527.773i | − | 1.69702i | −0.529179 | − | 0.848510i | \(-0.677500\pi\) | ||
0.529179 | − | 0.848510i | \(-0.322500\pi\) | |||||||
\(312\) | −21.7939 | + | 108.032i | −0.0698522 | + | 0.346256i | ||||
\(313\) | −405.291 | −1.29486 | −0.647429 | − | 0.762126i | \(-0.724156\pi\) | ||||
−0.647429 | + | 0.762126i | \(0.724156\pi\) | |||||||
\(314\) | 92.2583 | + | 187.509i | 0.293816 | + | 0.597162i | ||||
\(315\) | −203.430 | − | 168.989i | −0.645811 | − | 0.536474i | ||||
\(316\) | −31.4131 | + | 40.7853i | −0.0994086 | + | 0.129068i | ||||
\(317\) | −548.657 | −1.73078 | −0.865390 | − | 0.501098i | \(-0.832929\pi\) | ||||
−0.865390 | + | 0.501098i | \(0.832929\pi\) | |||||||
\(318\) | 53.3127 | + | 108.354i | 0.167650 | + | 0.340737i | ||||
\(319\) | −88.8180 | −0.278426 | ||||||||
\(320\) | 194.711 | − | 253.944i | 0.608471 | − | 0.793576i | ||||
\(321\) | − | 108.096i | − | 0.336747i | ||||||
\(322\) | −20.6429 | + | 0.414311i | −0.0641084 | + | 0.00128668i | ||||
\(323\) | 65.2766 | 0.202095 | ||||||||
\(324\) | 107.639 | − | 139.753i | 0.332218 | − | 0.431337i | ||||
\(325\) | 140.421 | − | 249.859i | 0.432065 | − | 0.768798i | ||||
\(326\) | −197.408 | + | 97.1287i | −0.605545 | + | 0.297941i | ||||
\(327\) | 46.2620 | 0.141474 | ||||||||
\(328\) | −476.381 | − | 96.1032i | −1.45238 | − | 0.292998i | ||||
\(329\) | 161.995 | − | 346.635i | 0.492386 | − | 1.05360i | ||||
\(330\) | −15.2558 | − | 74.7831i | −0.0462297 | − | 0.226616i | ||||
\(331\) | − | 77.0081i | − | 0.232653i | −0.993211 | − | 0.116326i | \(-0.962888\pi\) | ||
0.993211 | − | 0.116326i | \(-0.0371119\pi\) | |||||||
\(332\) | −444.588 | − | 342.424i | −1.33912 | − | 1.03140i | ||||
\(333\) | 82.1682 | 0.246751 | ||||||||
\(334\) | 206.120 | − | 101.415i | 0.617125 | − | 0.303638i | ||||
\(335\) | 133.218 | − | 508.954i | 0.397665 | − | 1.51927i | ||||
\(336\) | −23.9611 | + | 132.431i | −0.0713127 | + | 0.394139i | ||||
\(337\) | 532.210i | 1.57926i | 0.613585 | + | 0.789629i | \(0.289727\pi\) | ||||
−0.613585 | + | 0.789629i | \(0.710273\pi\) | |||||||
\(338\) | 67.4094 | − | 33.1668i | 0.199436 | − | 0.0981267i | ||||
\(339\) | 176.519 | 0.520704 | ||||||||
\(340\) | 218.709 | + | 282.687i | 0.643261 | + | 0.831433i | ||||
\(341\) | 198.144 | 0.581068 | ||||||||
\(342\) | 49.5299 | − | 24.3698i | 0.144824 | − | 0.0712566i | ||||
\(343\) | 331.536 | − | 87.9357i | 0.966578 | − | 0.256372i | ||||
\(344\) | 55.3260 | − | 274.250i | 0.160831 | − | 0.797238i | ||||
\(345\) | 2.24368 | − | 8.57189i | 0.00650341 | − | 0.0248460i | ||||
\(346\) | 71.8451 | + | 146.020i | 0.207645 | + | 0.422024i | ||||
\(347\) | −538.276 | −1.55123 | −0.775614 | − | 0.631207i | \(-0.782560\pi\) | ||||
−0.775614 | + | 0.631207i | \(0.782560\pi\) | |||||||
\(348\) | −41.0113 | + | 53.2472i | −0.117849 | + | 0.153009i | ||||
\(349\) | −534.502 | −1.53153 | −0.765763 | − | 0.643123i | \(-0.777638\pi\) | ||||
−0.765763 | + | 0.643123i | \(0.777638\pi\) | |||||||
\(350\) | 165.318 | − | 308.496i | 0.472339 | − | 0.881417i | ||||
\(351\) | −228.077 | −0.649793 | ||||||||
\(352\) | 153.420 | − | 133.323i | 0.435853 | − | 0.378758i | ||||
\(353\) | −547.043 | −1.54970 | −0.774849 | − | 0.632147i | \(-0.782174\pi\) | ||||
−0.774849 | + | 0.632147i | \(0.782174\pi\) | |||||||
\(354\) | −51.8124 | − | 105.305i | −0.146363 | − | 0.297472i | ||||
\(355\) | −82.6667 | + | 315.825i | −0.232864 | + | 0.889649i | ||||
\(356\) | 80.8074 | + | 62.2383i | 0.226987 | + | 0.174827i | ||||
\(357\) | −136.179 | − | 63.6415i | −0.381455 | − | 0.178267i | ||||
\(358\) | 175.744 | + | 357.187i | 0.490904 | + | 0.997730i | ||||
\(359\) | −522.975 | −1.45676 | −0.728378 | − | 0.685175i | \(-0.759726\pi\) | ||||
−0.728378 | + | 0.685175i | \(0.759726\pi\) | |||||||
\(360\) | 271.486 | + | 132.844i | 0.754127 | + | 0.369011i | ||||
\(361\) | −347.658 | −0.963041 | ||||||||
\(362\) | 487.215 | − | 239.720i | 1.34590 | − | 0.662210i | ||||
\(363\) | 96.9170i | 0.266989i | ||||||||
\(364\) | −285.130 | + | 147.469i | −0.783324 | + | 0.405134i | ||||
\(365\) | −123.422 | + | 471.531i | −0.338143 | + | 1.29187i | ||||
\(366\) | 14.1373 | + | 28.7330i | 0.0386264 | + | 0.0785055i | ||||
\(367\) | 12.4454 | 0.0339113 | 0.0169556 | − | 0.999856i | \(-0.494603\pi\) | ||||
0.0169556 | + | 0.999856i | \(0.494603\pi\) | |||||||
\(368\) | 22.8146 | − | 6.02473i | 0.0619961 | − | 0.0163715i | ||||
\(369\) | − | 459.014i | − | 1.24394i | ||||||
\(370\) | 21.7361 | + | 106.549i | 0.0587463 | + | 0.287971i | ||||
\(371\) | −148.922 | + | 318.661i | −0.401407 | + | 0.858926i | ||||
\(372\) | 91.4922 | − | 118.789i | 0.245947 | − | 0.319326i | ||||
\(373\) | −94.6474 | −0.253746 | −0.126873 | − | 0.991919i | \(-0.540494\pi\) | ||||
−0.126873 | + | 0.991919i | \(0.540494\pi\) | |||||||
\(374\) | 100.224 | + | 203.699i | 0.267979 | + | 0.544650i | ||||
\(375\) | 108.039 | + | 104.347i | 0.288104 | + | 0.278258i | ||||
\(376\) | −86.4730 | + | 428.645i | −0.229981 | + | 1.14001i | ||||
\(377\) | −160.312 | −0.425232 | ||||||||
\(378\) | −278.461 | + | 5.58882i | −0.736670 | + | 0.0147852i | ||||
\(379\) | 585.226i | 1.54413i | 0.635543 | + | 0.772066i | \(0.280776\pi\) | ||||
−0.635543 | + | 0.772066i | \(0.719224\pi\) | |||||||
\(380\) | 44.7031 | + | 57.7800i | 0.117640 | + | 0.152053i | ||||
\(381\) | −194.735 | −0.511115 | ||||||||
\(382\) | 273.260 | − | 134.450i | 0.715341 | − | 0.351963i | ||||
\(383\) | 206.190 | 0.538356 | 0.269178 | − | 0.963090i | \(-0.413248\pi\) | ||||
0.269178 | + | 0.963090i | \(0.413248\pi\) | |||||||
\(384\) | −9.08714 | − | 153.538i | −0.0236644 | − | 0.399839i | ||||
\(385\) | 142.054 | − | 171.005i | 0.368970 | − | 0.444169i | ||||
\(386\) | −157.943 | − | 321.010i | −0.409180 | − | 0.831631i | ||||
\(387\) | 264.251 | 0.682820 | ||||||||
\(388\) | 286.521 | − | 372.005i | 0.738456 | − | 0.958777i | ||||
\(389\) | − | 377.902i | − | 0.971470i | −0.874106 | − | 0.485735i | \(-0.838552\pi\) | ||
0.874106 | − | 0.485735i | \(-0.161448\pi\) | |||||||
\(390\) | −27.5360 | − | 134.980i | −0.0706051 | − | 0.346103i | ||||
\(391\) | 26.3556i | 0.0674057i | ||||||||
\(392\) | −344.504 | + | 187.033i | −0.878836 | + | 0.477124i | ||||
\(393\) | 20.4942i | 0.0521481i | ||||||||
\(394\) | −487.758 | + | 239.987i | −1.23797 | + | 0.609105i | ||||
\(395\) | 16.2947 | − | 62.2532i | 0.0412523 | − | 0.157603i | ||||
\(396\) | 152.094 | + | 117.144i | 0.384077 | + | 0.295818i | ||||
\(397\) | 262.453i | 0.661090i | 0.943790 | + | 0.330545i | \(0.107233\pi\) | ||||
−0.943790 | + | 0.330545i | \(0.892767\pi\) | |||||||
\(398\) | 35.0412 | + | 71.2189i | 0.0880432 | + | 0.178942i | ||||
\(399\) | −27.8345 | − | 13.0080i | −0.0697605 | − | 0.0326016i | ||||
\(400\) | −100.445 | + | 387.183i | −0.251113 | + | 0.967958i | ||||
\(401\) | −148.618 | −0.370618 | −0.185309 | − | 0.982680i | \(-0.559329\pi\) | ||||
−0.185309 | + | 0.982680i | \(0.559329\pi\) | |||||||
\(402\) | −111.635 | − | 226.891i | −0.277700 | − | 0.564407i | ||||
\(403\) | 357.641 | 0.887446 | ||||||||
\(404\) | −203.168 | + | 263.784i | −0.502892 | + | 0.652932i | ||||
\(405\) | −55.8345 | + | 213.314i | −0.137863 | + | 0.526701i | ||||
\(406\) | −195.726 | + | 3.92830i | −0.482085 | + | 0.00967562i | ||||
\(407\) | 69.0712i | 0.169708i | ||||||||
\(408\) | 168.398 | + | 33.9719i | 0.412740 | + | 0.0832644i | ||||
\(409\) | 453.526i | 1.10887i | 0.832228 | + | 0.554433i | \(0.187065\pi\) | ||||
−0.832228 | + | 0.554433i | \(0.812935\pi\) | |||||||
\(410\) | 595.214 | − | 121.424i | 1.45174 | − | 0.296156i | ||||
\(411\) | −147.739 | −0.359462 | ||||||||
\(412\) | −384.458 | + | 499.162i | −0.933150 | + | 1.21156i | ||||
\(413\) | 144.731 | − | 309.694i | 0.350438 | − | 0.749864i | ||||
\(414\) | 9.83937 | + | 19.9979i | 0.0237666 | + | 0.0483040i | ||||
\(415\) | 678.602 | + | 177.623i | 1.63519 | + | 0.428007i | ||||
\(416\) | 276.916 | − | 240.641i | 0.665664 | − | 0.578465i | ||||
\(417\) | 280.511i | 0.672689i | ||||||||
\(418\) | 20.4854 | + | 41.6352i | 0.0490081 | + | 0.0996058i | ||||
\(419\) | −2.02019 | −0.00482145 | −0.00241072 | − | 0.999997i | \(-0.500767\pi\) | ||||
−0.00241072 | + | 0.999997i | \(0.500767\pi\) | |||||||
\(420\) | −36.9265 | − | 164.123i | −0.0879201 | − | 0.390770i | ||||
\(421\) | − | 357.993i | − | 0.850340i | −0.905114 | − | 0.425170i | \(-0.860214\pi\) | ||
0.905114 | − | 0.425170i | \(-0.139786\pi\) | |||||||
\(422\) | −367.235 | − | 746.381i | −0.870226 | − | 1.76868i | ||||
\(423\) | −413.018 | −0.976401 | ||||||||
\(424\) | 79.4946 | − | 394.053i | 0.187487 | − | 0.929370i | ||||
\(425\) | −389.476 | − | 218.886i | −0.916414 | − | 0.515025i | ||||
\(426\) | 69.2740 | + | 140.795i | 0.162615 | + | 0.330504i | ||||
\(427\) | −39.4905 | + | 84.5014i | −0.0924837 | + | 0.197896i | ||||
\(428\) | −219.570 | + | 285.079i | −0.513013 | + | 0.666073i | ||||
\(429\) | − | 87.5015i | − | 0.203966i | ||||||
\(430\) | 69.9030 | + | 342.661i | 0.162565 | + | 0.796886i | ||||
\(431\) | −446.016 | −1.03484 | −0.517420 | − | 0.855732i | \(-0.673107\pi\) | ||||
−0.517420 | + | 0.855732i | \(0.673107\pi\) | |||||||
\(432\) | 307.756 | − | 81.2702i | 0.712397 | − | 0.188125i | ||||
\(433\) | 315.080 | 0.727667 | 0.363833 | − | 0.931464i | \(-0.381468\pi\) | ||||
0.363833 | + | 0.931464i | \(0.381468\pi\) | |||||||
\(434\) | 436.646 | − | 8.76365i | 1.00610 | − | 0.0201927i | ||||
\(435\) | 21.2735 | − | 81.2746i | 0.0489046 | − | 0.186838i | ||||
\(436\) | −122.006 | − | 93.9698i | −0.279830 | − | 0.215527i | ||||
\(437\) | 5.38698i | 0.0123272i | ||||||||
\(438\) | 103.427 | + | 210.208i | 0.236134 | + | 0.479927i | ||||
\(439\) | 526.489i | 1.19929i | 0.800265 | + | 0.599646i | \(0.204692\pi\) | ||||
−0.800265 | + | 0.599646i | \(0.795308\pi\) | |||||||
\(440\) | −111.670 | + | 228.213i | −0.253794 | + | 0.518665i | ||||
\(441\) | −237.513 | − | 284.029i | −0.538578 | − | 0.644057i | ||||
\(442\) | 180.900 | + | 367.668i | 0.409276 | + | 0.831827i | ||||
\(443\) | 504.255 | 1.13827 | 0.569136 | − | 0.822243i | \(-0.307278\pi\) | ||||
0.569136 | + | 0.822243i | \(0.307278\pi\) | |||||||
\(444\) | 41.4088 | + | 31.8933i | 0.0932631 | + | 0.0718318i | ||||
\(445\) | −123.341 | − | 32.2844i | −0.277172 | − | 0.0725492i | ||||
\(446\) | 144.259 | − | 70.9784i | 0.323451 | − | 0.159144i | ||||
\(447\) | 256.209 | 0.573175 | ||||||||
\(448\) | 332.192 | − | 300.586i | 0.741501 | − | 0.670952i | ||||
\(449\) | 363.198 | 0.808905 | 0.404452 | − | 0.914559i | \(-0.367462\pi\) | ||||
0.404452 | + | 0.914559i | \(0.367462\pi\) | |||||||
\(450\) | −377.240 | − | 20.6805i | −0.838310 | − | 0.0459566i | ||||
\(451\) | 385.850 | 0.855544 | ||||||||
\(452\) | −465.530 | − | 358.554i | −1.02993 | − | 0.793261i | ||||
\(453\) | 105.563i | 0.233030i | ||||||||
\(454\) | 102.303 | + | 207.924i | 0.225337 | + | 0.457983i | ||||
\(455\) | 256.400 | − | 308.656i | 0.563517 | − | 0.678365i | ||||
\(456\) | 34.4198 | + | 6.94370i | 0.0754819 | + | 0.0152274i | ||||
\(457\) | − | 760.978i | − | 1.66516i | −0.553904 | − | 0.832580i | \(-0.686863\pi\) | ||
0.553904 | − | 0.832580i | \(-0.313137\pi\) | |||||||
\(458\) | 661.846 | − | 325.642i | 1.44508 | − | 0.711009i | ||||
\(459\) | 355.523i | 0.774559i | ||||||||
\(460\) | −23.3289 | + | 18.0490i | −0.0507149 | + | 0.0392370i | ||||
\(461\) | −430.994 | −0.934912 | −0.467456 | − | 0.884016i | \(-0.654829\pi\) | ||||
−0.467456 | + | 0.884016i | \(0.654829\pi\) | |||||||
\(462\) | −2.14414 | − | 106.831i | −0.00464100 | − | 0.231236i | ||||
\(463\) | − | 84.2589i | − | 0.181985i | −0.995852 | − | 0.0909923i | \(-0.970996\pi\) | ||
0.995852 | − | 0.0909923i | \(-0.0290039\pi\) | |||||||
\(464\) | 216.317 | − | 57.1237i | 0.466201 | − | 0.123111i | ||||
\(465\) | −47.4590 | + | 181.316i | −0.102062 | + | 0.389926i | ||||
\(466\) | 263.872 | + | 536.303i | 0.566250 | + | 1.15086i | ||||
\(467\) | 729.350i | 1.56178i | 0.624670 | + | 0.780889i | \(0.285234\pi\) | ||||
−0.624670 | + | 0.780889i | \(0.714766\pi\) | |||||||
\(468\) | 274.523 | + | 211.440i | 0.586588 | + | 0.451794i | ||||
\(469\) | 311.839 | − | 667.269i | 0.664901 | − | 1.42275i | ||||
\(470\) | −109.256 | − | 535.570i | −0.232461 | − | 1.13951i | ||||
\(471\) | −125.555 | −0.266570 | ||||||||
\(472\) | −77.2575 | + | 382.964i | −0.163681 | + | 0.811364i | ||||
\(473\) | 222.132i | 0.469623i | ||||||||
\(474\) | −13.6548 | − | 27.7525i | −0.0288076 | − | 0.0585495i | ||||
\(475\) | −79.6072 | − | 44.7393i | −0.167594 | − | 0.0941879i | ||||
\(476\) | 229.872 | + | 444.455i | 0.482924 | + | 0.933729i | ||||
\(477\) | 379.687 | 0.795990 | ||||||||
\(478\) | −94.1354 | + | 46.3166i | −0.196936 | + | 0.0968966i | ||||
\(479\) | − | 878.089i | − | 1.83317i | −0.399840 | − | 0.916585i | \(-0.630934\pi\) | ||
0.399840 | − | 0.916585i | \(-0.369066\pi\) | |||||||
\(480\) | 85.2527 | + | 172.323i | 0.177610 | + | 0.359007i | ||||
\(481\) | 124.670i | 0.259190i | ||||||||
\(482\) | 343.830 | + | 698.812i | 0.713340 | + | 1.44982i | ||||
\(483\) | 5.25204 | − | 11.2383i | 0.0108738 | − | 0.0232676i | ||||
\(484\) | 196.863 | − | 255.598i | 0.406741 | − | 0.528094i | ||||
\(485\) | −148.625 | + | 567.815i | −0.306443 | + | 1.17075i | ||||
\(486\) | 204.879 | + | 416.403i | 0.421562 | + | 0.856796i | ||||
\(487\) | − | 220.513i | − | 0.452799i | −0.974035 | − | 0.226399i | \(-0.927305\pi\) | ||
0.974035 | − | 0.226399i | \(-0.0726954\pi\) | |||||||
\(488\) | 21.0801 | − | 104.493i | 0.0431969 | − | 0.214126i | ||||
\(489\) | − | 132.183i | − | 0.270313i | ||||||
\(490\) | 305.478 | − | 383.123i | 0.623423 | − | 0.781884i | ||||
\(491\) | − | 143.245i | − | 0.291741i | −0.989304 | − | 0.145871i | \(-0.953402\pi\) | ||
0.989304 | − | 0.145871i | \(-0.0465983\pi\) | |||||||
\(492\) | 178.165 | − | 231.321i | 0.362124 | − | 0.470165i | ||||
\(493\) | 249.892i | 0.506880i | ||||||||
\(494\) | 36.9752 | + | 75.1496i | 0.0748486 | + | 0.152125i | ||||
\(495\) | −232.151 | − | 60.7652i | −0.468992 | − | 0.122758i | ||||
\(496\) | −482.582 | + | 127.437i | −0.972947 | + | 0.256930i | ||||
\(497\) | −193.508 | + | 414.066i | −0.389352 | + | 0.833131i | ||||
\(498\) | 302.521 | − | 148.847i | 0.607471 | − | 0.298889i | ||||
\(499\) | 302.198i | 0.605607i | 0.953053 | + | 0.302804i | \(0.0979227\pi\) | ||||
−0.953053 | + | 0.302804i | \(0.902077\pi\) | |||||||
\(500\) | −72.9752 | − | 494.646i | −0.145950 | − | 0.989292i | ||||
\(501\) | 138.016i | 0.275482i | ||||||||
\(502\) | −38.6828 | + | 19.0328i | −0.0770574 | + | 0.0379139i | ||||
\(503\) | 635.540 | 1.26350 | 0.631750 | − | 0.775172i | \(-0.282337\pi\) | ||||
0.631750 | + | 0.775172i | \(0.282337\pi\) | |||||||
\(504\) | 340.349 | + | 251.421i | 0.675295 | + | 0.498851i | ||||
\(505\) | 105.388 | − | 402.631i | 0.208689 | − | 0.797289i | ||||
\(506\) | −16.8104 | + | 8.27105i | −0.0332220 | + | 0.0163459i | ||||
\(507\) | 45.1369i | 0.0890274i | ||||||||
\(508\) | 513.571 | + | 395.555i | 1.01097 | + | 0.778652i | ||||
\(509\) | −616.524 | −1.21125 | −0.605623 | − | 0.795752i | \(-0.707076\pi\) | ||||
−0.605623 | + | 0.795752i | \(0.707076\pi\) | |||||||
\(510\) | −210.404 | + | 42.9226i | −0.412558 | + | 0.0841619i | ||||
\(511\) | −288.909 | + | 618.205i | −0.565380 | + | 1.20979i | ||||
\(512\) | −287.909 | + | 423.382i | −0.562323 | + | 0.826918i | ||||
\(513\) | 72.6672i | 0.141652i | ||||||||
\(514\) | −516.218 | + | 253.990i | −1.00432 | + | 0.494145i | ||||
\(515\) | 199.427 | − | 761.903i | 0.387236 | − | 1.47942i | ||||
\(516\) | 133.170 | + | 102.568i | 0.258081 | + | 0.198776i | ||||
\(517\) | − | 347.186i | − | 0.671539i | ||||||
\(518\) | 3.05493 | + | 152.211i | 0.00589754 | + | 0.293843i | ||||
\(519\) | −97.7742 | −0.188390 | ||||||||
\(520\) | −201.558 | + | 411.913i | −0.387612 | + | 0.792141i | ||||
\(521\) | 754.179i | 1.44756i | 0.690030 | + | 0.723780i | \(0.257597\pi\) | ||||
−0.690030 | + | 0.723780i | \(0.742403\pi\) | |||||||
\(522\) | 93.2923 | + | 189.610i | 0.178721 | + | 0.363238i | ||||
\(523\) | − | 245.714i | − | 0.469816i | −0.972018 | − | 0.234908i | \(-0.924521\pi\) | ||
0.972018 | − | 0.234908i | \(-0.0754789\pi\) | |||||||
\(524\) | 41.6289 | − | 54.0491i | 0.0794445 | − | 0.103147i | ||||
\(525\) | 122.457 | + | 170.948i | 0.233252 | + | 0.325615i | ||||
\(526\) | −196.885 | − | 400.156i | −0.374306 | − | 0.760752i | ||||
\(527\) | − | 557.484i | − | 1.05784i | ||||||
\(528\) | 31.1792 | + | 118.070i | 0.0590515 | + | 0.223617i | ||||
\(529\) | 526.825 | 0.995888 | ||||||||
\(530\) | 100.439 | + | 492.349i | 0.189508 | + | 0.928960i | ||||
\(531\) | −369.002 | −0.694919 | ||||||||
\(532\) | 46.9848 | + | 90.8447i | 0.0883172 | + | 0.170761i | ||||
\(533\) | 696.442 | 1.30665 | ||||||||
\(534\) | −54.9856 | + | 27.0540i | −0.102969 | + | 0.0506630i | ||||
\(535\) | 113.896 | − | 435.134i | 0.212889 | − | 0.813335i | ||||
\(536\) | −166.460 | + | 825.137i | −0.310559 | + | 1.53943i | ||||
\(537\) | −239.170 | −0.445382 | ||||||||
\(538\) | −849.211 | + | 417.830i | −1.57846 | + | 0.776635i | ||||
\(539\) | 238.757 | − | 199.655i | 0.442963 | − | 0.370417i | ||||
\(540\) | −314.693 | + | 243.471i | −0.582765 | + | 0.450872i | ||||
\(541\) | 347.839i | 0.642955i | 0.946917 | + | 0.321478i | \(0.104180\pi\) | ||||
−0.946917 | + | 0.321478i | \(0.895820\pi\) | |||||||
\(542\) | 255.920 | + | 520.139i | 0.472176 | + | 0.959667i | ||||
\(543\) | 326.236i | 0.600803i | ||||||||
\(544\) | −375.107 | − | 431.652i | −0.689535 | − | 0.793478i | ||||
\(545\) | 186.226 | + | 48.7442i | 0.341698 | + | 0.0894389i | ||||
\(546\) | −3.87008 | − | 192.825i | −0.00708805 | − | 0.353160i | ||||
\(547\) | −88.7131 | −0.162181 | −0.0810906 | − | 0.996707i | \(-0.525840\pi\) | ||||
−0.0810906 | + | 0.996707i | \(0.525840\pi\) | |||||||
\(548\) | 389.630 | + | 300.095i | 0.711003 | + | 0.547619i | ||||
\(549\) | 100.684 | 0.183395 | ||||||||
\(550\) | 17.3841 | − | 317.110i | 0.0316075 | − | 0.576564i | ||||
\(551\) | 51.0768i | 0.0926983i | ||||||||
\(552\) | −2.80354 | + | 13.8971i | −0.00507888 | + | 0.0251759i | ||||
\(553\) | 38.1429 | − | 81.6177i | 0.0689744 | − | 0.147591i | ||||
\(554\) | 136.508 | − | 67.1648i | 0.246404 | − | 0.121236i | ||||
\(555\) | −63.2049 | − | 16.5438i | −0.113883 | − | 0.0298086i | ||||
\(556\) | 569.789 | − | 739.788i | 1.02480 | − | 1.33055i | ||||
\(557\) | 244.783 | 0.439467 | 0.219733 | − | 0.975560i | \(-0.429481\pi\) | ||||
0.219733 | + | 0.975560i | \(0.429481\pi\) | |||||||
\(558\) | −208.126 | − | 423.002i | −0.372985 | − | 0.758068i | ||||
\(559\) | 400.937i | 0.717240i | ||||||||
\(560\) | −235.990 | + | 507.847i | −0.421412 | + | 0.906870i | ||||
\(561\) | −136.396 | −0.243129 | ||||||||
\(562\) | −68.9236 | + | 33.9118i | −0.122640 | + | 0.0603414i | ||||
\(563\) | 330.152i | 0.586416i | 0.956049 | + | 0.293208i | \(0.0947228\pi\) | ||||
−0.956049 | + | 0.293208i | \(0.905277\pi\) | |||||||
\(564\) | −208.141 | − | 160.312i | −0.369045 | − | 0.284240i | ||||
\(565\) | 710.568 | + | 185.990i | 1.25764 | + | 0.329186i | ||||
\(566\) | −32.6678 | − | 66.3951i | −0.0577169 | − | 0.117306i | ||||
\(567\) | −130.698 | + | 279.667i | −0.230509 | + | 0.493240i | ||||
\(568\) | 103.295 | − | 512.029i | 0.181857 | − | 0.901460i | ||||
\(569\) | −65.2889 | −0.114743 | −0.0573716 | − | 0.998353i | \(-0.518272\pi\) | ||||
−0.0573716 | + | 0.998353i | \(0.518272\pi\) | |||||||
\(570\) | −43.0057 | + | 8.77319i | −0.0754486 | + | 0.0153916i | ||||
\(571\) | − | 408.808i | − | 0.715950i | −0.933731 | − | 0.357975i | \(-0.883467\pi\) | ||
0.933731 | − | 0.357975i | \(-0.116533\pi\) | |||||||
\(572\) | −177.738 | + | 230.766i | −0.310730 | + | 0.403438i | ||||
\(573\) | 182.973i | 0.319325i | ||||||||
\(574\) | 850.291 | − | 17.0657i | 1.48134 | − | 0.0297311i | ||||
\(575\) | 18.0636 | − | 32.1417i | 0.0314150 | − | 0.0558985i | ||||
\(576\) | −445.769 | − | 187.485i | −0.773905 | − | 0.325495i | ||||
\(577\) | 848.550 | 1.47062 | 0.735312 | − | 0.677729i | \(-0.237036\pi\) | ||||
0.735312 | + | 0.677729i | \(0.237036\pi\) | |||||||
\(578\) | 54.4895 | − | 26.8100i | 0.0942725 | − | 0.0463841i | ||||
\(579\) | 214.946 | 0.371236 | ||||||||
\(580\) | −221.193 | + | 171.132i | −0.381368 | + | 0.295056i | ||||
\(581\) | 889.688 | + | 415.783i | 1.53130 | + | 0.715633i | ||||
\(582\) | 124.546 | + | 253.132i | 0.213997 | + | 0.434934i | ||||
\(583\) | 319.168i | 0.547457i | ||||||||
\(584\) | 154.220 | − | 764.465i | 0.264075 | − | 1.30902i | ||||
\(585\) | −419.022 | − | 109.678i | −0.716277 | − | 0.187484i | ||||
\(586\) | −392.034 | − | 796.783i | −0.669000 | − | 1.35970i | ||||
\(587\) | 224.450i | 0.382369i | 0.981554 | + | 0.191184i | \(0.0612328\pi\) | ||||
−0.981554 | + | 0.191184i | \(0.938767\pi\) | |||||||
\(588\) | −9.45001 | − | 235.327i | −0.0160714 | − | 0.400216i | ||||
\(589\) | − | 113.947i | − | 0.193459i | ||||||
\(590\) | −97.6129 | − | 478.493i | −0.165446 | − | 0.811006i | ||||
\(591\) | − | 326.600i | − | 0.552622i | ||||||
\(592\) | −44.4234 | − | 168.224i | −0.0750396 | − | 0.284161i | ||||
\(593\) | −278.865 | −0.470261 | −0.235130 | − | 0.971964i | \(-0.575552\pi\) | ||||
−0.235130 | + | 0.971964i | \(0.575552\pi\) | |||||||
\(594\) | −226.762 | + | 111.572i | −0.381754 | + | 0.187831i | ||||
\(595\) | −481.127 | − | 399.672i | −0.808617 | − | 0.671717i | ||||
\(596\) | −675.697 | − | 520.426i | −1.13372 | − | 0.873197i | ||||
\(597\) | −47.6877 | −0.0798789 | ||||||||
\(598\) | −30.3419 | + | 14.9289i | −0.0507390 | + | 0.0249646i | ||||
\(599\) | 434.423 | 0.725247 | 0.362623 | − | 0.931936i | \(-0.381881\pi\) | ||||
0.362623 | + | 0.931936i | \(0.381881\pi\) | |||||||
\(600\) | −182.084 | − | 156.846i | −0.303473 | − | 0.261411i | ||||
\(601\) | 324.120i | 0.539301i | 0.962958 | + | 0.269651i | \(0.0869082\pi\) | ||||
−0.962958 | + | 0.269651i | \(0.913092\pi\) | |||||||
\(602\) | 9.82459 | + | 489.507i | 0.0163199 | + | 0.813135i | ||||
\(603\) | −795.055 | −1.31850 | ||||||||
\(604\) | 214.425 | − | 278.399i | 0.355008 | − | 0.460926i | ||||
\(605\) | −102.117 | + | 390.135i | −0.168788 | + | 0.644851i | ||||
\(606\) | −88.3142 | − | 179.493i | −0.145733 | − | 0.296193i | ||||
\(607\) | −674.884 | −1.11184 | −0.555918 | − | 0.831237i | \(-0.687633\pi\) | ||||
−0.555918 | + | 0.831237i | \(0.687633\pi\) | |||||||
\(608\) | −76.6703 | − | 88.2277i | −0.126102 | − | 0.145111i | ||||
\(609\) | 49.7973 | − | 106.556i | 0.0817690 | − | 0.174968i | ||||
\(610\) | 26.6341 | + | 130.559i | 0.0436625 | + | 0.214032i | ||||
\(611\) | − | 626.654i | − | 1.02562i | ||||||
\(612\) | 329.588 | − | 427.922i | 0.538542 | − | 0.699218i | ||||
\(613\) | −1087.67 | −1.77434 | −0.887172 | − | 0.461440i | \(-0.847333\pi\) | ||||
−0.887172 | + | 0.461440i | \(0.847333\pi\) | |||||||
\(614\) | −192.912 | − | 392.081i | −0.314189 | − | 0.638568i | ||||
\(615\) | −92.4180 | + | 353.080i | −0.150273 | + | 0.574113i | ||||
\(616\) | −211.346 | + | 286.099i | −0.343095 | + | 0.464447i | ||||
\(617\) | 124.521i | 0.201817i | 0.994896 | + | 0.100909i | \(0.0321750\pi\) | ||||
−0.994896 | + | 0.100909i | \(0.967825\pi\) | |||||||
\(618\) | −167.118 | − | 339.656i | −0.270417 | − | 0.549605i | ||||
\(619\) | 1059.42 | 1.71150 | 0.855752 | − | 0.517387i | \(-0.173095\pi\) | ||||
0.855752 | + | 0.517387i | \(0.173095\pi\) | |||||||
\(620\) | 493.460 | − | 381.779i | 0.795904 | − | 0.615773i | ||||
\(621\) | −29.3396 | −0.0472458 | ||||||||
\(622\) | −465.999 | − | 947.113i | −0.749195 | − | 1.52269i | ||||
\(623\) | −161.708 | − | 75.5719i | −0.259563 | − | 0.121303i | ||||
\(624\) | 56.2770 | + | 213.111i | 0.0901874 | + | 0.341524i | ||||
\(625\) | 324.960 | + | 533.878i | 0.519937 | + | 0.854205i | ||||
\(626\) | −727.312 | + | 357.853i | −1.16184 | + | 0.571650i | ||||
\(627\) | −27.8787 | −0.0444636 | ||||||||
\(628\) | 331.123 | + | 255.033i | 0.527266 | + | 0.406104i | ||||
\(629\) | 194.334 | 0.308956 | ||||||||
\(630\) | −514.275 | − | 123.639i | −0.816309 | − | 0.196253i | ||||
\(631\) | 893.784 | 1.41646 | 0.708228 | − | 0.705983i | \(-0.249495\pi\) | ||||
0.708228 | + | 0.705983i | \(0.249495\pi\) | |||||||
\(632\) | −20.3607 | + | 100.927i | −0.0322163 | + | 0.159695i | ||||
\(633\) | 499.772 | 0.789529 | ||||||||
\(634\) | −984.591 | + | 484.439i | −1.55298 | + | 0.764100i | ||||
\(635\) | −783.895 | − | 205.183i | −1.23448 | − | 0.323123i | ||||
\(636\) | 191.344 | + | 147.374i | 0.300855 | + | 0.231721i | ||||
\(637\) | 430.945 | − | 360.368i | 0.676523 | − | 0.565727i | ||||
\(638\) | −159.388 | + | 78.4222i | −0.249824 | + | 0.122919i | ||||
\(639\) | 493.362 | 0.772084 | ||||||||
\(640\) | 125.196 | − | 627.635i | 0.195619 | − | 0.980680i | ||||
\(641\) | −395.495 | −0.616997 | −0.308499 | − | 0.951225i | \(-0.599827\pi\) | ||||
−0.308499 | + | 0.951225i | \(0.599827\pi\) | |||||||
\(642\) | −95.4436 | − | 193.983i | −0.148666 | − | 0.302154i | ||||
\(643\) | − | 733.874i | − | 1.14133i | −0.821183 | − | 0.570664i | \(-0.806686\pi\) | ||
0.821183 | − | 0.570664i | \(-0.193314\pi\) | |||||||
\(644\) | −36.6788 | + | 18.9702i | −0.0569547 | + | 0.0294569i | ||||
\(645\) | −203.266 | − | 53.2045i | −0.315141 | − | 0.0824875i | ||||
\(646\) | 117.142 | − | 57.6362i | 0.181334 | − | 0.0892202i | ||||
\(647\) | −196.080 | −0.303060 | −0.151530 | − | 0.988453i | \(-0.548420\pi\) | ||||
−0.151530 | + | 0.988453i | \(0.548420\pi\) | |||||||
\(648\) | 69.7669 | − | 345.833i | 0.107665 | − | 0.533693i | ||||
\(649\) | − | 310.186i | − | 0.477944i | ||||||
\(650\) | 31.3776 | − | 572.369i | 0.0482732 | − | 0.880568i | ||||
\(651\) | −111.093 | + | 237.715i | −0.170650 | + | 0.365154i | ||||
\(652\) | −268.497 | + | 348.604i | −0.411805 | + | 0.534668i | ||||
\(653\) | 183.968 | 0.281728 | 0.140864 | − | 0.990029i | \(-0.455012\pi\) | ||||
0.140864 | + | 0.990029i | \(0.455012\pi\) | |||||||
\(654\) | 83.0193 | − | 40.8472i | 0.126941 | − | 0.0624575i | ||||
\(655\) | −21.5938 | + | 82.4985i | −0.0329677 | + | 0.125952i | ||||
\(656\) | −939.742 | + | 248.161i | −1.43253 | + | 0.378295i | ||||
\(657\) | 736.595 | 1.12115 | ||||||||
\(658\) | −15.3556 | − | 765.086i | −0.0233367 | − | 1.16275i | ||||
\(659\) | 846.874i | 1.28509i | 0.766248 | + | 0.642544i | \(0.222121\pi\) | ||||
−0.766248 | + | 0.642544i | \(0.777879\pi\) | |||||||
\(660\) | −93.4073 | − | 120.732i | −0.141526 | − | 0.182927i | ||||
\(661\) | 498.387 | 0.753990 | 0.376995 | − | 0.926215i | \(-0.376957\pi\) | ||||
0.376995 | + | 0.926215i | \(0.376957\pi\) | |||||||
\(662\) | −67.9946 | − | 138.195i | −0.102711 | − | 0.208753i | ||||
\(663\) | −246.188 | −0.371324 | ||||||||
\(664\) | −1100.18 | − | 221.945i | −1.65689 | − | 0.334255i | ||||
\(665\) | −98.3403 | − | 81.6911i | −0.147880 | − | 0.122844i | ||||
\(666\) | 147.455 | − | 72.5507i | 0.221403 | − | 0.108935i | ||||
\(667\) | −20.6224 | −0.0309182 | ||||||||
\(668\) | 280.346 | − | 363.988i | 0.419680 | − | 0.544893i | ||||
\(669\) | 96.5948i | 0.144387i | ||||||||
\(670\) | −210.318 | − | 1030.97i | −0.313907 | − | 1.53876i | ||||
\(671\) | 84.6357i | 0.126134i | ||||||||
\(672\) | 73.9310 | + | 258.809i | 0.110016 | + | 0.385133i | ||||
\(673\) | − | 26.2761i | − | 0.0390432i | −0.999809 | − | 0.0195216i | \(-0.993786\pi\) | ||
0.999809 | − | 0.0195216i | \(-0.00621431\pi\) | |||||||
\(674\) | 469.917 | + | 955.075i | 0.697206 | + | 1.41702i | ||||
\(675\) | 243.668 | − | 433.573i | 0.360990 | − | 0.642330i | ||||
\(676\) | 91.6844 | − | 119.039i | 0.135628 | − | 0.176093i | ||||
\(677\) | − | 273.868i | − | 0.404532i | −0.979331 | − | 0.202266i | \(-0.935169\pi\) | ||
0.979331 | − | 0.202266i | \(-0.0648305\pi\) | |||||||
\(678\) | 316.771 | − | 155.858i | 0.467214 | − | 0.229879i | ||||
\(679\) | −347.903 | + | 744.439i | −0.512376 | + | 1.09638i | ||||
\(680\) | 642.083 | + | 314.185i | 0.944239 | + | 0.462037i | ||||
\(681\) | −139.225 | −0.204442 | ||||||||
\(682\) | 355.578 | − | 174.952i | 0.521376 | − | 0.256528i | ||||
\(683\) | 163.569 | 0.239486 | 0.119743 | − | 0.992805i | \(-0.461793\pi\) | ||||
0.119743 | + | 0.992805i | \(0.461793\pi\) | |||||||
\(684\) | 67.3663 | − | 87.4653i | 0.0984888 | − | 0.127873i | ||||
\(685\) | −594.716 | − | 155.666i | −0.868199 | − | 0.227250i | ||||
\(686\) | 517.314 | − | 450.536i | 0.754102 | − | 0.656758i | ||||
\(687\) | 443.168i | 0.645077i | ||||||||
\(688\) | −142.865 | − | 541.004i | −0.207652 | − | 0.786343i | ||||
\(689\) | 576.083i | 0.836114i | ||||||||
\(690\) | −3.54220 | − | 17.3637i | −0.00513363 | − | 0.0251648i | ||||
\(691\) | −217.130 | −0.314226 | −0.157113 | − | 0.987581i | \(-0.550219\pi\) | ||||
−0.157113 | + | 0.987581i | \(0.550219\pi\) | |||||||
\(692\) | 257.858 | + | 198.604i | 0.372628 | + | 0.287000i | ||||
\(693\) | −304.364 | − | 142.240i | −0.439198 | − | 0.205253i | ||||
\(694\) | −965.961 | + | 475.273i | −1.39187 | + | 0.684832i | ||||
\(695\) | −295.562 | + | 1129.18i | −0.425269 | + | 1.62473i | ||||
\(696\) | −26.5819 | + | 131.766i | −0.0381923 | + | 0.189319i | ||||
\(697\) | − | 1085.60i | − | 1.55753i | ||||||
\(698\) | −959.189 | + | 471.941i | −1.37420 | + | 0.676133i | ||||
\(699\) | −359.105 | −0.513741 | ||||||||
\(700\) | 24.2837 | − | 699.579i | 0.0346910 | − | 0.999398i | ||||
\(701\) | 187.844i | 0.267966i | 0.990984 | + | 0.133983i | \(0.0427767\pi\) | ||||
−0.990984 | + | 0.133983i | \(0.957223\pi\) | |||||||
\(702\) | −409.295 | + | 201.382i | −0.583041 | + | 0.286869i | ||||
\(703\) | 39.7209 | 0.0565020 | ||||||||
\(704\) | 157.602 | − | 374.717i | 0.223866 | − | 0.532268i | ||||
\(705\) | 317.699 | + | 83.1571i | 0.450637 | + | 0.117953i | ||||
\(706\) | −981.694 | + | 483.014i | −1.39050 | + | 0.684156i | ||||
\(707\) | 246.694 | − | 527.873i | 0.348931 | − | 0.746638i | ||||
\(708\) | −185.959 | − | 143.227i | −0.262654 | − | 0.202298i | ||||
\(709\) | − | 1273.19i | − | 1.79575i | −0.440252 | − | 0.897874i | \(-0.645111\pi\) | ||
0.440252 | − | 0.897874i | \(-0.354889\pi\) | |||||||
\(710\) | 130.510 | + | 639.754i | 0.183817 | + | 0.901062i | ||||
\(711\) | −97.2480 | −0.136776 | ||||||||
\(712\) | 199.966 | + | 40.3403i | 0.280851 | + | 0.0566578i | ||||
\(713\) | 46.0065 | 0.0645253 | ||||||||
\(714\) | −300.572 | + | 6.03260i | −0.420970 | + | 0.00844902i | ||||
\(715\) | 92.1964 | − | 352.233i | 0.128946 | − | 0.492634i | ||||
\(716\) | 630.760 | + | 485.815i | 0.880950 | + | 0.678513i | ||||
\(717\) | − | 63.0324i | − | 0.0879113i | ||||||
\(718\) | −938.503 | + | 461.763i | −1.30711 | + | 0.643124i | ||||
\(719\) | 1161.36i | 1.61524i | 0.589704 | + | 0.807620i | \(0.299245\pi\) | ||||
−0.589704 | + | 0.807620i | \(0.700755\pi\) | |||||||
\(720\) | 604.488 | − | 1.31484i | 0.839567 | − | 0.00182617i | ||||
\(721\) | 466.821 | − | 998.900i | 0.647464 | − | 1.38544i | ||||
\(722\) | −623.888 | + | 306.966i | −0.864110 | + | 0.425160i | ||||
\(723\) | −467.920 | −0.647192 | ||||||||
\(724\) | 662.667 | − | 860.376i | 0.915286 | − | 1.18837i | ||||
\(725\) | 171.271 | − | 304.752i | 0.236236 | − | 0.420348i | ||||
\(726\) | 85.5732 | + | 173.922i | 0.117869 | + | 0.239562i | ||||
\(727\) | −952.100 | −1.30963 | −0.654815 | − | 0.755790i | \(-0.727253\pi\) | ||||
−0.654815 | + | 0.755790i | \(0.727253\pi\) | |||||||
\(728\) | −381.470 | + | 516.396i | −0.523998 | + | 0.709336i | ||||
\(729\) | 118.080 | 0.161975 | ||||||||
\(730\) | 194.853 | + | 955.159i | 0.266922 | + | 1.30844i | ||||
\(731\) | 624.973 | 0.854957 | ||||||||
\(732\) | 50.7399 | + | 39.0802i | 0.0693168 | + | 0.0533882i | ||||
\(733\) | − | 67.7576i | − | 0.0924387i | −0.998931 | − | 0.0462194i | \(-0.985283\pi\) | ||
0.998931 | − | 0.0462194i | \(-0.0147173\pi\) | |||||||
\(734\) | 22.3339 | − | 10.9887i | 0.0304277 | − | 0.0149710i | ||||
\(735\) | 125.512 | + | 266.300i | 0.170764 | + | 0.362313i | ||||
\(736\) | 35.6222 | − | 30.9559i | 0.0483998 | − | 0.0420596i | ||||
\(737\) | − | 668.329i | − | 0.906823i | ||||||
\(738\) | −405.288 | − | 823.721i | −0.549171 | − | 1.11615i | ||||
\(739\) | 866.575i | 1.17263i | 0.810082 | + | 0.586316i | \(0.199422\pi\) | ||||
−0.810082 | + | 0.586316i | \(0.800578\pi\) | |||||||
\(740\) | 133.085 | + | 172.016i | 0.179844 | + | 0.232454i | ||||
\(741\) | −50.3197 | −0.0679078 | ||||||||
\(742\) | 14.1164 | + | 703.344i | 0.0190248 | + | 0.947902i | ||||
\(743\) | − | 977.257i | − | 1.31529i | −0.753330 | − | 0.657643i | \(-0.771554\pi\) | ||
0.753330 | − | 0.657643i | \(-0.228446\pi\) | |||||||
\(744\) | 59.3015 | − | 293.956i | 0.0797063 | − | 0.395102i | ||||
\(745\) | 1031.36 | + | 269.956i | 1.38437 | + | 0.362357i | ||||
\(746\) | −169.849 | + | 83.5693i | −0.227680 | + | 0.112023i | ||||
\(747\) | − | 1060.07i | − | 1.41910i | ||||||
\(748\) | 359.714 | + | 277.054i | 0.480901 | + | 0.370393i | ||||
\(749\) | 266.609 | − | 570.487i | 0.355953 | − | 0.761665i | ||||
\(750\) | 286.014 | + | 91.8612i | 0.381352 | + | 0.122482i | ||||
\(751\) | 310.507 | 0.413459 | 0.206729 | − | 0.978398i | \(-0.433718\pi\) | ||||
0.206729 | + | 0.978398i | \(0.433718\pi\) | |||||||
\(752\) | 223.294 | + | 845.574i | 0.296933 | + | 1.12443i | ||||
\(753\) | − | 25.9018i | − | 0.0343981i | ||||||
\(754\) | −287.688 | + | 141.548i | −0.381549 | + | 0.187730i | ||||
\(755\) | −111.227 | + | 424.938i | −0.147320 | + | 0.562832i | ||||
\(756\) | −494.777 | + | 255.898i | −0.654466 | + | 0.338489i | ||||
\(757\) | 309.239 | 0.408506 | 0.204253 | − | 0.978918i | \(-0.434523\pi\) | ||||
0.204253 | + | 0.978918i | \(0.434523\pi\) | |||||||
\(758\) | 516.727 | + | 1050.21i | 0.681698 | + | 1.38551i | ||||
\(759\) | − | 11.2561i | − | 0.0148302i | ||||||
\(760\) | 131.239 | + | 64.2181i | 0.172683 | + | 0.0844975i | ||||
\(761\) | − | 83.9096i | − | 0.110262i | −0.998479 | − | 0.0551312i | \(-0.982442\pi\) | ||
0.998479 | − | 0.0551312i | \(-0.0175577\pi\) | |||||||
\(762\) | −349.460 | + | 171.942i | −0.458609 | + | 0.225645i | ||||
\(763\) | 244.153 | + | 114.101i | 0.319991 | + | 0.149543i | ||||
\(764\) | 371.665 | − | 482.553i | 0.486473 | − | 0.631614i | ||||
\(765\) | −170.964 | + | 653.164i | −0.223483 | + | 0.853809i | ||||
\(766\) | 370.018 | − | 182.057i | 0.483052 | − | 0.237672i | ||||
\(767\) | − | 559.871i | − | 0.729949i | ||||||
\(768\) | −151.874 | − | 267.508i | −0.197753 | − | 0.348317i | ||||
\(769\) | 676.111i | 0.879208i | 0.898192 | + | 0.439604i | \(0.144881\pi\) | ||||
−0.898192 | + | 0.439604i | \(0.855119\pi\) | |||||||
\(770\) | 103.932 | − | 432.303i | 0.134977 | − | 0.561433i | ||||
\(771\) | − | 345.657i | − | 0.448322i | ||||||
\(772\) | −566.873 | − | 436.609i | −0.734292 | − | 0.565556i | ||||
\(773\) | − | 105.163i | − | 0.136046i | −0.997684 | − | 0.0680229i | \(-0.978331\pi\) | ||
0.997684 | − | 0.0680229i | \(-0.0216691\pi\) | |||||||
\(774\) | 474.211 | − | 233.322i | 0.612676 | − | 0.301449i | ||||
\(775\) | −382.088 | + | 679.872i | −0.493017 | + | 0.877254i | ||||
\(776\) | 185.711 | − | 920.565i | 0.239318 | − | 1.18630i | ||||
\(777\) | −82.8654 | − | 38.7259i | −0.106648 | − | 0.0498403i | ||||
\(778\) | −333.670 | − | 678.162i | −0.428882 | − | 0.871673i | ||||
\(779\) | − | 221.892i | − | 0.284842i | ||||||
\(780\) | −168.596 | − | 217.915i | −0.216148 | − | 0.279378i | ||||
\(781\) | 414.724i | 0.531016i | ||||||||
\(782\) | 23.2708 | + | 47.2964i | 0.0297581 | + | 0.0604813i | ||||
\(783\) | −278.185 | −0.355280 | ||||||||
\(784\) | −453.086 | + | 639.819i | −0.577916 | + | 0.816096i | ||||
\(785\) | −505.414 | − | 132.291i | −0.643840 | − | 0.168524i | ||||
\(786\) | 18.0954 | + | 36.7778i | 0.0230222 | + | 0.0467911i | ||||
\(787\) | − | 1346.17i | − | 1.71051i | −0.518211 | − | 0.855253i | \(-0.673402\pi\) | ||
0.518211 | − | 0.855253i | \(-0.326598\pi\) | |||||||
\(788\) | −663.407 | + | 861.336i | −0.841887 | + | 1.09307i | ||||
\(789\) | 267.942 | 0.339596 | ||||||||
\(790\) | −25.7252 | − | 126.104i | −0.0325636 | − | 0.159625i | ||||
\(791\) | 931.597 | + | 435.368i | 1.17775 | + | 0.550402i | ||||
\(792\) | 376.373 | + | 75.9279i | 0.475219 | + | 0.0958686i | ||||
\(793\) | 152.763i | 0.192640i | ||||||||
\(794\) | 231.734 | + | 470.983i | 0.291856 | + | 0.593178i | ||||
\(795\) | −292.060 | − | 76.4463i | −0.367372 | − | 0.0961589i | ||||
\(796\) | 125.766 | + | 96.8658i | 0.157998 | + | 0.121691i | ||||
\(797\) | 1053.41i | 1.32172i | 0.750509 | + | 0.660860i | \(0.229809\pi\) | ||||
−0.750509 | + | 0.660860i | \(0.770191\pi\) | |||||||
\(798\) | −61.4357 | + | 1.23304i | −0.0769871 | + | 0.00154516i | ||||
\(799\) | −976.816 | −1.22255 | ||||||||
\(800\) | 161.612 | + | 783.506i | 0.202014 | + | 0.979383i | ||||
\(801\) | 192.676i | 0.240544i | ||||||||
\(802\) | −266.702 | + | 131.223i | −0.332546 | + | 0.163620i | ||||
\(803\) | 619.187i | 0.771092i | ||||||||
\(804\) | −400.669 | − | 308.598i | −0.498345 | − | 0.383828i | ||||
\(805\) | 32.9831 | − | 39.7052i | 0.0409727 | − | 0.0493232i | ||||
\(806\) | 641.803 | − | 315.780i | 0.796281 | − | 0.391787i | ||||
\(807\) | − | 568.626i | − | 0.704617i | ||||||
\(808\) | −131.685 | + | 652.762i | −0.162977 | + | 0.807873i | ||||
\(809\) | 784.349 | 0.969529 | 0.484764 | − | 0.874645i | \(-0.338905\pi\) | ||||
0.484764 | + | 0.874645i | \(0.338905\pi\) | |||||||
\(810\) | 88.1487 | + | 432.101i | 0.108826 | + | 0.533458i | ||||
\(811\) | −309.590 | −0.381738 | −0.190869 | − | 0.981615i | \(-0.561131\pi\) | ||||
−0.190869 | + | 0.981615i | \(0.561131\pi\) | |||||||
\(812\) | −347.771 | + | 179.867i | −0.428290 | + | 0.221511i | ||||
\(813\) | −348.282 | −0.428391 | ||||||||
\(814\) | 60.9867 | + | 123.951i | 0.0749222 | + | 0.152274i | ||||
\(815\) | 139.275 | − | 532.096i | 0.170890 | − | 0.652878i | ||||
\(816\) | 332.193 | − | 87.7234i | 0.407099 | − | 0.107504i | ||||
\(817\) | 127.742 | 0.156355 | ||||||||
\(818\) | 400.443 | + | 813.874i | 0.489539 | + | 0.994956i | ||||
\(819\) | −549.363 | − | 256.737i | −0.670773 | − | 0.313476i | ||||
\(820\) | 960.927 | − | 743.447i | 1.17186 | − | 0.906643i | ||||
\(821\) | − | 567.809i | − | 0.691607i | −0.938307 | − | 0.345804i | \(-0.887606\pi\) | ||
0.938307 | − | 0.345804i | \(-0.112394\pi\) | |||||||
\(822\) | −265.124 | + | 130.447i | −0.322536 | + | 0.158694i | ||||
\(823\) | 1545.86i | 1.87833i | 0.343471 | + | 0.939163i | \(0.388397\pi\) | ||||
−0.343471 | + | 0.939163i | \(0.611603\pi\) | |||||||
\(824\) | −249.190 | + | 1235.23i | −0.302415 | + | 1.49906i | ||||
\(825\) | 166.339 | + | 93.4828i | 0.201624 | + | 0.113313i | ||||
\(826\) | −13.7191 | − | 683.550i | −0.0166091 | − | 0.827542i | ||||
\(827\) | 706.209 | 0.853940 | 0.426970 | − | 0.904266i | \(-0.359581\pi\) | ||||
0.426970 | + | 0.904266i | \(0.359581\pi\) | |||||||
\(828\) | 35.3144 | + | 27.1994i | 0.0426502 | + | 0.0328495i | ||||
\(829\) | −798.772 | −0.963537 | −0.481769 | − | 0.876298i | \(-0.660005\pi\) | ||||
−0.481769 | + | 0.876298i | \(0.660005\pi\) | |||||||
\(830\) | 1374.62 | − | 280.422i | 1.65616 | − | 0.337858i | ||||
\(831\) | 91.4048i | 0.109994i | ||||||||
\(832\) | 284.464 | − | 676.346i | 0.341903 | − | 0.812916i | ||||
\(833\) | −561.735 | − | 671.749i | −0.674351 | − | 0.806422i | ||||
\(834\) | 247.678 | + | 503.390i | 0.296977 | + | 0.603585i | ||||
\(835\) | −145.422 | + | 555.579i | −0.174158 | + | 0.665364i | ||||
\(836\) | 73.5240 | + | 56.6286i | 0.0879473 | + | 0.0677376i | ||||
\(837\) | 620.602 | 0.741460 | ||||||||
\(838\) | −3.62531 | + | 1.78373i | −0.00432615 | + | 0.00212856i | ||||
\(839\) | − | 809.432i | − | 0.964759i | −0.875962 | − | 0.482379i | \(-0.839773\pi\) | ||
0.875962 | − | 0.482379i | \(-0.160227\pi\) | |||||||
\(840\) | −211.180 | − | 261.922i | −0.251404 | − | 0.311812i | ||||
\(841\) | 645.468 | 0.767501 | ||||||||
\(842\) | −316.091 | − | 642.435i | −0.375405 | − | 0.762987i | ||||
\(843\) | − | 46.1508i | − | 0.0547459i | ||||||
\(844\) | −1318.04 | − | 1015.16i | −1.56166 | − | 1.20280i | ||||
\(845\) | −47.5587 | + | 181.696i | −0.0562825 | + | 0.215025i | ||||
\(846\) | −741.179 | + | 364.676i | −0.876098 | + | 0.431059i | ||||
\(847\) | −239.037 | + | 511.490i | −0.282216 | + | 0.603884i | ||||
\(848\) | −205.274 | − | 777.336i | −0.242068 | − | 0.916670i | ||||
\(849\) | 44.4577 | 0.0523648 | ||||||||
\(850\) | −892.198 | − | 48.9107i | −1.04964 | − | 0.0575420i | ||||
\(851\) | 16.0375i | 0.0188454i | ||||||||
\(852\) | 248.631 | + | 191.497i | 0.291820 | + | 0.224762i | ||||
\(853\) | 661.922i | 0.775992i | 0.921661 | + | 0.387996i | \(0.126833\pi\) | ||||
−0.921661 | + | 0.387996i | \(0.873167\pi\) | |||||||
\(854\) | 3.74332 | + | 186.510i | 0.00438328 | + | 0.218396i | ||||
\(855\) | −34.9444 | + | 133.504i | −0.0408706 | + | 0.156145i | ||||
\(856\) | −142.316 | + | 705.457i | −0.166257 | + | 0.824132i | ||||
\(857\) | −293.366 | −0.342317 | −0.171159 | − | 0.985243i | \(-0.554751\pi\) | ||||
−0.171159 | + | 0.985243i | \(0.554751\pi\) | |||||||
\(858\) | −77.2598 | − | 157.025i | −0.0900464 | − | 0.183013i | ||||
\(859\) | 187.895 | 0.218737 | 0.109369 | − | 0.994001i | \(-0.465117\pi\) | ||||
0.109369 | + | 0.994001i | \(0.465117\pi\) | |||||||
\(860\) | 427.998 | + | 553.199i | 0.497672 | + | 0.643255i | ||||
\(861\) | −216.334 | + | 462.909i | −0.251259 | + | 0.537641i | ||||
\(862\) | −800.395 | + | 393.811i | −0.928533 | + | 0.456858i | ||||
\(863\) | − | 165.554i | − | 0.191835i | −0.995389 | − | 0.0959176i | \(-0.969421\pi\) | ||
0.995389 | − | 0.0959176i | \(-0.0305785\pi\) | |||||||
\(864\) | 480.524 | − | 417.577i | 0.556162 | − | 0.483307i | ||||
\(865\) | −393.586 | − | 103.020i | −0.455012 | − | 0.119099i | ||||
\(866\) | 565.425 | − | 278.201i | 0.652915 | − | 0.321248i | ||||
\(867\) | 36.4858i | 0.0420829i | ||||||||
\(868\) | 775.843 | − | 401.265i | 0.893829 | − | 0.462287i | ||||
\(869\) | − | 81.7473i | − | 0.0940706i | ||||||
\(870\) | −33.5855 | − | 164.634i | −0.0386040 | − | 0.189235i | ||||
\(871\) | − | 1206.30i | − | 1.38496i | ||||||
\(872\) | −301.916 | − | 60.9074i | −0.346234 | − | 0.0698479i | ||||
\(873\) | 887.004 | 1.01604 | ||||||||
\(874\) | 4.75645 | + | 9.66717i | 0.00544217 | + | 0.0110608i | ||||
\(875\) | 312.825 | + | 817.169i | 0.357515 | + | 0.933908i | ||||
\(876\) | 371.208 | + | 285.907i | 0.423754 | + | 0.326378i | ||||
\(877\) | 742.892 | 0.847084 | 0.423542 | − | 0.905877i | \(-0.360787\pi\) | ||||
0.423542 | + | 0.905877i | \(0.360787\pi\) | |||||||
\(878\) | 464.866 | + | 944.809i | 0.529460 | + | 1.07609i | ||||
\(879\) | 533.521 | 0.606964 | ||||||||
\(880\) | 1.10527 | + | 508.137i | 0.00125598 | + | 0.577429i | ||||
\(881\) | − | 190.302i | − | 0.216007i | −0.994151 | − | 0.108003i | \(-0.965554\pi\) | ||
0.994151 | − | 0.108003i | \(-0.0344457\pi\) | |||||||
\(882\) | −677.012 | − | 299.990i | −0.767588 | − | 0.340125i | ||||
\(883\) | −976.283 | −1.10564 | −0.552821 | − | 0.833300i | \(-0.686449\pi\) | ||||
−0.552821 | + | 0.833300i | \(0.686449\pi\) | |||||||
\(884\) | 649.267 | + | 500.070i | 0.734465 | + | 0.565690i | ||||
\(885\) | 283.841 | + | 74.2950i | 0.320725 | + | 0.0839491i | ||||
\(886\) | 904.908 | − | 445.234i | 1.02134 | − | 0.502521i | ||||
\(887\) | 1136.32 | 1.28108 | 0.640542 | − | 0.767923i | \(-0.278710\pi\) | ||||
0.640542 | + | 0.767923i | \(0.278710\pi\) | |||||||
\(888\) | 102.470 | + | 20.6719i | 0.115395 | + | 0.0232792i | ||||
\(889\) | −1027.73 | − | 480.296i | −1.15606 | − | 0.540266i | ||||
\(890\) | −249.847 | + | 50.9690i | −0.280727 | + | 0.0572685i | ||||
\(891\) | 280.111i | 0.314379i | ||||||||
\(892\) | 196.209 | − | 254.748i | 0.219965 | − | 0.285592i | ||||
\(893\) | −199.657 | −0.223580 | ||||||||
\(894\) | 459.779 | − | 226.221i | 0.514294 | − | 0.253044i | ||||
\(895\) | −962.769 | − | 252.003i | −1.07572 | − | 0.281568i | ||||
\(896\) | 330.730 | − | 832.727i | 0.369119 | − | 0.929382i | ||||
\(897\) | − | 20.3167i | − | 0.0226497i | ||||||
\(898\) | 651.776 | − | 320.687i | 0.725808 | − | 0.357113i | ||||
\(899\) | 436.212 | 0.485220 | ||||||||
\(900\) | −695.233 | + | 295.973i | −0.772481 | + | 0.328859i | ||||
\(901\) | 897.987 | 0.996656 | ||||||||
\(902\) | 692.426 | − | 340.688i | 0.767656 | − | 0.377703i | ||||
\(903\) | −266.494 | − | 124.542i | −0.295120 | − | 0.137920i | ||||
\(904\) | −1152.00 | − | 232.400i | −1.27434 | − | 0.257080i | ||||
\(905\) | −343.740 | + | 1313.25i | −0.379823 | + | 1.45110i | ||||
\(906\) | 93.2071 | + | 189.437i | 0.102878 | + | 0.209092i | ||||
\(907\) | 1526.57 | 1.68310 | 0.841549 | − | 0.540181i | \(-0.181644\pi\) | ||||
0.841549 | + | 0.540181i | \(0.181644\pi\) | |||||||
\(908\) | 367.175 | + | 282.801i | 0.404378 | + | 0.311454i | ||||
\(909\) | −628.964 | −0.691929 | ||||||||
\(910\) | 187.593 | − | 780.287i | 0.206146 | − | 0.857458i | ||||
\(911\) | −479.174 | −0.525986 | −0.262993 | − | 0.964798i | \(-0.584710\pi\) | ||||
−0.262993 | + | 0.964798i | \(0.584710\pi\) | |||||||
\(912\) | 67.8988 | − | 17.9303i | 0.0744504 | − | 0.0196604i | ||||
\(913\) | 891.101 | 0.976014 | ||||||||
\(914\) | −671.909 | − | 1365.61i | −0.735130 | − | 1.49410i | ||||
\(915\) | −77.4475 | − | 20.2717i | −0.0846421 | − | 0.0221549i | ||||
\(916\) | 900.186 | − | 1168.76i | 0.982736 | − | 1.27594i | ||||
\(917\) | −50.5472 | + | 108.160i | −0.0551224 | + | 0.117950i | ||||
\(918\) | 313.910 | + | 638.001i | 0.341950 | + | 0.694990i | ||||
\(919\) | −1645.66 | −1.79071 | −0.895354 | − | 0.445355i | \(-0.853077\pi\) | ||||
−0.895354 | + | 0.445355i | \(0.853077\pi\) | |||||||
\(920\) | −25.9283 | + | 52.9881i | −0.0281829 | + | 0.0575958i | ||||
\(921\) | 262.535 | 0.285054 | ||||||||
\(922\) | −773.439 | + | 380.548i | −0.838871 | + | 0.412742i | ||||
\(923\) | 748.557i | 0.811004i | ||||||||
\(924\) | −98.1748 | − | 189.820i | −0.106250 | − | 0.205433i | ||||
\(925\) | −236.997 | − | 133.192i | −0.256213 | − | 0.143992i | ||||
\(926\) | −74.3967 | − | 151.206i | −0.0803420 | − | 0.163290i | ||||
\(927\) | −1190.19 | −1.28392 | ||||||||
\(928\) | 337.753 | − | 293.509i | 0.363958 | − | 0.316281i | ||||
\(929\) | − | 1749.94i | − | 1.88368i | −0.336061 | − | 0.941840i | \(-0.609095\pi\) | ||
0.336061 | − | 0.941840i | \(-0.390905\pi\) | |||||||
\(930\) | 74.9259 | + | 367.283i | 0.0805655 | + | 0.394928i | ||||
\(931\) | −114.816 | − | 137.303i | −0.123326 | − | 0.147479i | ||||
\(932\) | 947.062 | + | 729.433i | 1.01616 | + | 0.782653i | ||||
\(933\) | 634.181 | 0.679722 | ||||||||
\(934\) | 643.983 | + | 1308.85i | 0.689489 | + | 1.40134i | ||||
\(935\) | −549.054 | − | 143.714i | −0.587224 | − | 0.153705i | ||||
\(936\) | 679.336 | + | 137.046i | 0.725786 | + | 0.146417i | ||||
\(937\) | −571.445 | −0.609867 | −0.304934 | − | 0.952374i | \(-0.598634\pi\) | ||||
−0.304934 | + | 0.952374i | \(0.598634\pi\) | |||||||
\(938\) | −29.5593 | − | 1472.78i | −0.0315131 | − | 1.57013i | ||||
\(939\) | − | 487.003i | − | 0.518641i | ||||||
\(940\) | −668.949 | − | 864.636i | −0.711648 | − | 0.919825i | ||||
\(941\) | −1275.74 | −1.35572 | −0.677862 | − | 0.735189i | \(-0.737093\pi\) | ||||
−0.677862 | + | 0.735189i | \(0.737093\pi\) | |||||||
\(942\) | −225.314 | + | 110.859i | −0.239186 | + | 0.117685i | ||||
\(943\) | 89.5896 | 0.0950049 | ||||||||
\(944\) | 199.497 | + | 755.460i | 0.211332 | + | 0.800276i | ||||
\(945\) | 444.923 | − | 535.601i | 0.470818 | − | 0.566773i | ||||
\(946\) | 196.132 | + | 398.625i | 0.207328 | + | 0.421380i | ||||
\(947\) | −107.958 | −0.114000 | −0.0570001 | − | 0.998374i | \(-0.518154\pi\) | ||||
−0.0570001 | + | 0.998374i | \(0.518154\pi\) | |||||||
\(948\) | −49.0083 | − | 37.7465i | −0.0516965 | − | 0.0398170i | ||||
\(949\) | 1117.60i | 1.17766i | ||||||||
\(950\) | −182.361 | − | 9.99714i | −0.191959 | − | 0.0105233i | ||||
\(951\) | − | 659.275i | − | 0.693244i | ||||||
\(952\) | 804.948 | + | 594.629i | 0.845534 | + | 0.624610i | ||||
\(953\) | 582.319i | 0.611037i | 0.952186 | + | 0.305519i | \(0.0988299\pi\) | ||||
−0.952186 | + | 0.305519i | \(0.901170\pi\) | |||||||
\(954\) | 681.366 | − | 335.246i | 0.714220 | − | 0.351411i | ||||
\(955\) | −192.791 | + | 736.551i | −0.201875 | + | 0.771257i | ||||
\(956\) | −128.035 | + | 166.234i | −0.133928 | + | 0.173885i | ||||
\(957\) | − | 106.725i | − | 0.111520i | ||||||
\(958\) | −775.312 | − | 1575.77i | −0.809302 | − | 1.64485i | ||||
\(959\) | −779.708 | − | 364.386i | −0.813043 | − | 0.379964i | ||||
\(960\) | 305.143 | + | 233.968i | 0.317858 | + | 0.243716i | ||||
\(961\) | −12.1464 | −0.0126393 | ||||||||
\(962\) | 110.078 | + | 223.726i | 0.114426 | + | 0.232564i | ||||
\(963\) | −679.738 | −0.705855 | ||||||||
\(964\) | 1234.04 | + | 950.463i | 1.28012 | + | 0.985958i | ||||
\(965\) | 865.254 | + | 226.479i | 0.896637 | + | 0.234693i | ||||
\(966\) | −0.497843 | − | 24.8049i | −0.000515365 | − | 0.0256779i | ||||
\(967\) | 856.298i | 0.885520i | 0.896640 | + | 0.442760i | \(0.146001\pi\) | ||||
−0.896640 | + | 0.442760i | \(0.853999\pi\) | |||||||
\(968\) | 127.598 | − | 632.502i | 0.131816 | − | 0.653411i | ||||
\(969\) | 78.4374i | 0.0809467i | ||||||||
\(970\) | 234.641 | + | 1150.20i | 0.241898 | + | 1.18577i | ||||
\(971\) | −888.179 | −0.914706 | −0.457353 | − | 0.889285i | \(-0.651202\pi\) | ||||
−0.457353 | + | 0.889285i | \(0.651202\pi\) | |||||||
\(972\) | 735.329 | + | 566.355i | 0.756511 | + | 0.582670i | ||||
\(973\) | −691.857 | + | 1480.43i | −0.711055 | + | 1.52151i | ||||
\(974\) | −194.703 | − | 395.720i | −0.199900 | − | 0.406284i | ||||
\(975\) | 300.235 | + | 168.732i | 0.307933 | + | 0.173059i | ||||
\(976\) | −54.4338 | − | 206.131i | −0.0557723 | − | 0.211200i | ||||
\(977\) | − | 195.521i | − | 0.200124i | −0.994981 | − | 0.100062i | \(-0.968096\pi\) | ||
0.994981 | − | 0.100062i | \(-0.0319041\pi\) | |||||||
\(978\) | −116.711 | − | 237.208i | −0.119337 | − | 0.242544i | ||||
\(979\) | −161.965 | −0.165439 | ||||||||
\(980\) | 209.913 | − | 957.255i | 0.214197 | − | 0.976791i | ||||
\(981\) | − | 290.909i | − | 0.296544i | ||||||
\(982\) | −126.479 | − | 257.060i | −0.128797 | − | 0.261771i | ||||
\(983\) | −281.780 | −0.286653 | −0.143327 | − | 0.989675i | \(-0.545780\pi\) | ||||
−0.143327 | + | 0.989675i | \(0.545780\pi\) | |||||||
\(984\) | 115.479 | − | 572.427i | 0.117357 | − | 0.581735i | ||||
\(985\) | 344.123 | − | 1314.71i | 0.349364 | − | 1.33473i | ||||
\(986\) | 220.643 | + | 448.442i | 0.223776 | + | 0.454809i | ||||
\(987\) | 416.522 | + | 194.656i | 0.422008 | + | 0.197220i | ||||
\(988\) | 132.707 | + | 102.212i | 0.134319 | + | 0.103453i | ||||
\(989\) | 51.5762i | 0.0521498i | ||||||||
\(990\) | −470.259 | + | 95.9330i | −0.475009 | + | 0.0969020i | ||||
\(991\) | 1196.50 | 1.20737 | 0.603685 | − | 0.797223i | \(-0.293698\pi\) | ||||
0.603685 | + | 0.797223i | \(0.293698\pi\) | |||||||
\(992\) | −753.494 | + | 654.789i | −0.759570 | + | 0.660070i | ||||
\(993\) | 92.5342 | 0.0931865 | ||||||||
\(994\) | 18.3427 | + | 913.918i | 0.0184534 | + | 0.919435i | ||||
\(995\) | −191.965 | − | 50.2464i | −0.192929 | − | 0.0504989i | ||||
\(996\) | 411.462 | − | 534.224i | 0.413115 | − | 0.536369i | ||||
\(997\) | 209.026i | 0.209655i | 0.994490 | + | 0.104828i | \(0.0334291\pi\) | ||||
−0.994490 | + | 0.104828i | \(0.966571\pi\) | |||||||
\(998\) | 266.827 | + | 542.308i | 0.267362 | + | 0.543395i | ||||
\(999\) | 216.336i | 0.216553i |
(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 | 280.3.c.g.69.70 | yes | 80 | |
4.3 | odd | 2 | 1120.3.c.g.209.47 | 80 | |||
5.4 | even | 2 | inner | 280.3.c.g.69.11 | yes | 80 | |
7.6 | odd | 2 | inner | 280.3.c.g.69.69 | yes | 80 | |
8.3 | odd | 2 | 1120.3.c.g.209.54 | 80 | |||
8.5 | even | 2 | inner | 280.3.c.g.69.9 | ✓ | 80 | |
20.19 | odd | 2 | 1120.3.c.g.209.46 | 80 | |||
28.27 | even | 2 | 1120.3.c.g.209.32 | 80 | |||
35.34 | odd | 2 | inner | 280.3.c.g.69.12 | yes | 80 | |
40.19 | odd | 2 | 1120.3.c.g.209.31 | 80 | |||
40.29 | even | 2 | inner | 280.3.c.g.69.72 | yes | 80 | |
56.13 | odd | 2 | inner | 280.3.c.g.69.10 | yes | 80 | |
56.27 | even | 2 | 1120.3.c.g.209.45 | 80 | |||
140.139 | even | 2 | 1120.3.c.g.209.53 | 80 | |||
280.69 | odd | 2 | inner | 280.3.c.g.69.71 | yes | 80 | |
280.139 | even | 2 | 1120.3.c.g.209.48 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.3.c.g.69.9 | ✓ | 80 | 8.5 | even | 2 | inner | |
280.3.c.g.69.10 | yes | 80 | 56.13 | odd | 2 | inner | |
280.3.c.g.69.11 | yes | 80 | 5.4 | even | 2 | inner | |
280.3.c.g.69.12 | yes | 80 | 35.34 | odd | 2 | inner | |
280.3.c.g.69.69 | yes | 80 | 7.6 | odd | 2 | inner | |
280.3.c.g.69.70 | yes | 80 | 1.1 | even | 1 | trivial | |
280.3.c.g.69.71 | yes | 80 | 280.69 | odd | 2 | inner | |
280.3.c.g.69.72 | yes | 80 | 40.29 | even | 2 | inner | |
1120.3.c.g.209.31 | 80 | 40.19 | odd | 2 | |||
1120.3.c.g.209.32 | 80 | 28.27 | even | 2 | |||
1120.3.c.g.209.45 | 80 | 56.27 | even | 2 | |||
1120.3.c.g.209.46 | 80 | 20.19 | odd | 2 | |||
1120.3.c.g.209.47 | 80 | 4.3 | odd | 2 | |||
1120.3.c.g.209.48 | 80 | 280.139 | even | 2 | |||
1120.3.c.g.209.53 | 80 | 140.139 | even | 2 | |||
1120.3.c.g.209.54 | 80 | 8.3 | odd | 2 |