Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,3,Mod(2,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.f (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.681200660901\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 8.2 | ||
Character | \(\chi\) | \(=\) | 25.8 |
Dual form | 25.3.f.a.22.2 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.61837 | − | 0.824603i | −0.809187 | − | 0.412302i | −0.000107292 | − | 1.00000i | \(-0.500034\pi\) |
−0.809080 | + | 0.587698i | \(0.800034\pi\) | |||||||
\(3\) | 3.42034 | + | 0.541729i | 1.14011 | + | 0.180576i | 0.697806 | − | 0.716287i | \(-0.254160\pi\) |
0.442308 | + | 0.896863i | \(0.354160\pi\) | |||||||
\(4\) | −0.411975 | − | 0.567034i | −0.102994 | − | 0.141759i | ||||
\(5\) | 4.00059 | − | 2.99921i | 0.800119 | − | 0.599841i | ||||
\(6\) | −5.08868 | − | 3.69715i | −0.848114 | − | 0.616191i | ||||
\(7\) | −8.06323 | + | 8.06323i | −1.15189 | + | 1.15189i | −0.165717 | + | 0.986173i | \(0.552994\pi\) |
−0.986173 | + | 0.165717i | \(0.947006\pi\) | |||||||
\(8\) | 1.33571 | + | 8.43332i | 0.166963 | + | 1.05416i | ||||
\(9\) | 2.84577 | + | 0.924645i | 0.316196 | + | 0.102738i | ||||
\(10\) | −8.94762 | + | 1.55494i | −0.894762 | + | 0.155494i | ||||
\(11\) | −1.43991 | − | 4.43160i | −0.130901 | − | 0.402872i | 0.864029 | − | 0.503442i | \(-0.167933\pi\) |
−0.994930 | + | 0.100570i | \(0.967933\pi\) | |||||||
\(12\) | −1.10192 | − | 2.16263i | −0.0918263 | − | 0.180219i | ||||
\(13\) | −7.37917 | + | 3.75988i | −0.567629 | + | 0.289221i | −0.714157 | − | 0.699985i | \(-0.753190\pi\) |
0.146529 | + | 0.989206i | \(0.453190\pi\) | |||||||
\(14\) | 19.6983 | − | 6.40037i | 1.40702 | − | 0.457169i | ||||
\(15\) | 15.3082 | − | 8.09108i | 1.02054 | − | 0.539405i | ||||
\(16\) | 3.92612 | − | 12.0833i | 0.245382 | − | 0.755209i | ||||
\(17\) | 16.4746 | − | 2.60932i | 0.969096 | − | 0.153490i | 0.348232 | − | 0.937408i | \(-0.386782\pi\) |
0.620864 | + | 0.783919i | \(0.286782\pi\) | |||||||
\(18\) | −3.84305 | − | 3.84305i | −0.213503 | − | 0.213503i | ||||
\(19\) | −2.60721 | + | 3.58851i | −0.137221 | + | 0.188869i | −0.872097 | − | 0.489333i | \(-0.837240\pi\) |
0.734876 | + | 0.678202i | \(0.237240\pi\) | |||||||
\(20\) | −3.34880 | − | 1.03288i | −0.167440 | − | 0.0516439i | ||||
\(21\) | −31.9471 | + | 23.2109i | −1.52129 | + | 1.10528i | ||||
\(22\) | −1.32399 | + | 8.35934i | −0.0601813 | + | 0.379970i | ||||
\(23\) | 1.57553 | − | 3.09215i | 0.0685012 | − | 0.134441i | −0.854217 | − | 0.519917i | \(-0.825963\pi\) |
0.922718 | + | 0.385476i | \(0.125963\pi\) | |||||||
\(24\) | 29.5684i | 1.23202i | ||||||||
\(25\) | 7.00952 | − | 23.9972i | 0.280381 | − | 0.959889i | ||||
\(26\) | 15.0427 | 0.578564 | ||||||||
\(27\) | −18.5372 | − | 9.44519i | −0.686564 | − | 0.349822i | ||||
\(28\) | 7.89398 | + | 1.25028i | 0.281928 | + | 0.0446530i | ||||
\(29\) | −14.6125 | − | 20.1124i | −0.503880 | − | 0.693531i | 0.478992 | − | 0.877819i | \(-0.341002\pi\) |
−0.982872 | + | 0.184288i | \(0.941002\pi\) | |||||||
\(30\) | −31.4463 | + | 0.471235i | −1.04821 | + | 0.0157078i | ||||
\(31\) | 39.2975 | + | 28.5513i | 1.26766 | + | 0.921009i | 0.999107 | − | 0.0422559i | \(-0.0134545\pi\) |
0.268553 | + | 0.963265i | \(0.413454\pi\) | |||||||
\(32\) | 7.83247 | − | 7.83247i | 0.244765 | − | 0.244765i | ||||
\(33\) | −2.52427 | − | 15.9376i | −0.0764931 | − | 0.482958i | ||||
\(34\) | −28.8138 | − | 9.36216i | −0.847464 | − | 0.275358i | ||||
\(35\) | −8.07443 | + | 56.4410i | −0.230698 | + | 1.61260i | ||||
\(36\) | −0.648078 | − | 1.99458i | −0.0180022 | − | 0.0554049i | ||||
\(37\) | −12.2064 | − | 23.9564i | −0.329902 | − | 0.647469i | 0.665163 | − | 0.746699i | \(-0.268362\pi\) |
−0.995065 | + | 0.0992294i | \(0.968362\pi\) | |||||||
\(38\) | 7.17853 | − | 3.65765i | 0.188909 | − | 0.0962538i | ||||
\(39\) | −27.2761 | + | 8.86255i | −0.699388 | + | 0.227245i | ||||
\(40\) | 30.6369 | + | 29.7322i | 0.765922 | + | 0.743306i | ||||
\(41\) | 10.7638 | − | 33.1275i | 0.262531 | − | 0.807987i | −0.729721 | − | 0.683745i | \(-0.760350\pi\) |
0.992252 | − | 0.124242i | \(-0.0396500\pi\) | |||||||
\(42\) | 70.8422 | − | 11.2203i | 1.68672 | − | 0.267150i | ||||
\(43\) | −13.5798 | − | 13.5798i | −0.315808 | − | 0.315808i | 0.531346 | − | 0.847155i | \(-0.321686\pi\) |
−0.847155 | + | 0.531346i | \(0.821686\pi\) | |||||||
\(44\) | −1.91966 | + | 2.64219i | −0.0436286 | + | 0.0600497i | ||||
\(45\) | 14.1580 | − | 4.83591i | 0.314621 | − | 0.107465i | ||||
\(46\) | −5.09959 | + | 3.70507i | −0.110861 | + | 0.0805449i | ||||
\(47\) | −8.94405 | + | 56.4705i | −0.190299 | + | 1.20150i | 0.688832 | + | 0.724921i | \(0.258124\pi\) |
−0.879131 | + | 0.476580i | \(0.841876\pi\) | |||||||
\(48\) | 19.9746 | − | 39.2023i | 0.416137 | − | 0.816714i | ||||
\(49\) | − | 81.0315i | − | 1.65370i | ||||||
\(50\) | −31.1322 | + | 33.0564i | −0.622644 | + | 0.661129i | ||||
\(51\) | 57.7624 | 1.13260 | ||||||||
\(52\) | 5.17201 | + | 2.63527i | 0.0994617 | + | 0.0506783i | ||||
\(53\) | −15.9105 | − | 2.51997i | −0.300198 | − | 0.0475466i | 0.00451871 | − | 0.999990i | \(-0.498562\pi\) |
−0.304716 | + | 0.952443i | \(0.598562\pi\) | |||||||
\(54\) | 22.2117 | + | 30.5717i | 0.411327 | + | 0.566143i | ||||
\(55\) | −19.0518 | − | 13.4104i | −0.346396 | − | 0.243826i | ||||
\(56\) | −78.7699 | − | 57.2297i | −1.40661 | − | 1.02196i | ||||
\(57\) | −10.8615 | + | 10.8615i | −0.190553 | + | 0.190553i | ||||
\(58\) | 7.06378 | + | 44.5989i | 0.121789 | + | 0.768947i | ||||
\(59\) | 50.4257 | + | 16.3843i | 0.854672 | + | 0.277700i | 0.703402 | − | 0.710793i | \(-0.251664\pi\) |
0.151270 | + | 0.988492i | \(0.451664\pi\) | |||||||
\(60\) | −10.8945 | − | 5.34694i | −0.181575 | − | 0.0891156i | ||||
\(61\) | 25.1583 | + | 77.4292i | 0.412430 | + | 1.26933i | 0.914529 | + | 0.404520i | \(0.132561\pi\) |
−0.502099 | + | 0.864810i | \(0.667439\pi\) | |||||||
\(62\) | −40.0545 | − | 78.6115i | −0.646041 | − | 1.26793i | ||||
\(63\) | −30.4017 | + | 15.4904i | −0.482567 | + | 0.245880i | ||||
\(64\) | −67.4679 | + | 21.9217i | −1.05419 | + | 0.342526i | ||||
\(65\) | −18.2444 | + | 37.1734i | −0.280684 | + | 0.571898i | ||||
\(66\) | −9.05700 | + | 27.8746i | −0.137227 | + | 0.422342i | ||||
\(67\) | 3.74472 | − | 0.593105i | 0.0558913 | − | 0.00885232i | −0.128426 | − | 0.991719i | \(-0.540993\pi\) |
0.184318 | + | 0.982867i | \(0.440993\pi\) | |||||||
\(68\) | −8.26671 | − | 8.26671i | −0.121569 | − | 0.121569i | ||||
\(69\) | 7.06395 | − | 9.72269i | 0.102376 | − | 0.140909i | ||||
\(70\) | 59.6089 | − | 84.6845i | 0.851556 | − | 1.20978i | ||||
\(71\) | −23.0210 | + | 16.7257i | −0.324239 | + | 0.235574i | −0.737982 | − | 0.674820i | \(-0.764221\pi\) |
0.413743 | + | 0.910394i | \(0.364221\pi\) | |||||||
\(72\) | −3.99672 | + | 25.2343i | −0.0555100 | + | 0.350476i | ||||
\(73\) | −19.4330 | + | 38.1394i | −0.266206 | + | 0.522458i | −0.984955 | − | 0.172811i | \(-0.944715\pi\) |
0.718749 | + | 0.695269i | \(0.244715\pi\) | |||||||
\(74\) | 48.8358i | 0.659943i | ||||||||
\(75\) | 36.9749 | − | 78.2815i | 0.492999 | − | 1.04375i | ||||
\(76\) | 3.10891 | 0.0409067 | ||||||||
\(77\) | 47.3434 | + | 24.1226i | 0.614849 | + | 0.313281i | ||||
\(78\) | 51.4511 | + | 8.14905i | 0.659629 | + | 0.104475i | ||||
\(79\) | 46.6168 | + | 64.1625i | 0.590086 | + | 0.812184i | 0.994756 | − | 0.102279i | \(-0.0326134\pi\) |
−0.404669 | + | 0.914463i | \(0.632613\pi\) | |||||||
\(80\) | −20.5336 | − | 60.1158i | −0.256670 | − | 0.751447i | ||||
\(81\) | −80.0737 | − | 58.1770i | −0.988565 | − | 0.718234i | ||||
\(82\) | −44.7368 | + | 44.7368i | −0.545571 | + | 0.545571i | ||||
\(83\) | −9.69615 | − | 61.2191i | −0.116821 | − | 0.737579i | −0.974665 | − | 0.223669i | \(-0.928197\pi\) |
0.857844 | − | 0.513910i | \(-0.171803\pi\) | |||||||
\(84\) | 26.3228 | + | 8.55280i | 0.313367 | + | 0.101819i | ||||
\(85\) | 58.0824 | − | 59.8497i | 0.683322 | − | 0.704114i | ||||
\(86\) | 10.7792 | + | 33.1750i | 0.125340 | + | 0.385756i | ||||
\(87\) | −39.0843 | − | 76.7073i | −0.449245 | − | 0.881693i | ||||
\(88\) | 35.4498 | − | 18.0626i | 0.402838 | − | 0.205256i | ||||
\(89\) | 91.0024 | − | 29.5685i | 1.02250 | − | 0.332230i | 0.250678 | − | 0.968070i | \(-0.419346\pi\) |
0.771820 | + | 0.635841i | \(0.219346\pi\) | |||||||
\(90\) | −26.9006 | − | 3.84838i | −0.298895 | − | 0.0427598i | ||||
\(91\) | 29.1832 | − | 89.8167i | 0.320695 | − | 0.986997i | ||||
\(92\) | −2.40243 | + | 0.380508i | −0.0261134 | + | 0.00413595i | ||||
\(93\) | 118.944 | + | 118.944i | 1.27896 | + | 1.27896i | ||||
\(94\) | 61.0406 | − | 84.0152i | 0.649368 | − | 0.893778i | ||||
\(95\) | 0.332312 | + | 22.1757i | 0.00349802 | + | 0.233429i | ||||
\(96\) | 31.0328 | − | 22.5467i | 0.323258 | − | 0.234861i | ||||
\(97\) | −22.8066 | + | 143.995i | −0.235119 | + | 1.48448i | 0.534058 | + | 0.845448i | \(0.320667\pi\) |
−0.769177 | + | 0.639036i | \(0.779333\pi\) | |||||||
\(98\) | −66.8188 | + | 131.139i | −0.681824 | + | 1.33816i | ||||
\(99\) | − | 13.9427i | − | 0.140835i | ||||||
\(100\) | −16.4950 | + | 5.91161i | −0.164950 | + | 0.0591161i | ||||
\(101\) | −114.662 | −1.13526 | −0.567632 | − | 0.823282i | \(-0.692140\pi\) | ||||
−0.567632 | + | 0.823282i | \(0.692140\pi\) | |||||||
\(102\) | −93.4812 | − | 47.6311i | −0.916483 | − | 0.466971i | ||||
\(103\) | −157.550 | − | 24.9534i | −1.52961 | − | 0.242266i | −0.665818 | − | 0.746114i | \(-0.731917\pi\) |
−0.863792 | + | 0.503848i | \(0.831917\pi\) | |||||||
\(104\) | −41.5646 | − | 57.2088i | −0.399660 | − | 0.550085i | ||||
\(105\) | −58.1931 | + | 188.674i | −0.554220 | + | 1.79689i | ||||
\(106\) | 23.6711 | + | 17.1981i | 0.223313 | + | 0.162246i | ||||
\(107\) | 35.0684 | − | 35.0684i | 0.327742 | − | 0.327742i | −0.523985 | − | 0.851727i | \(-0.675555\pi\) |
0.851727 | + | 0.523985i | \(0.175555\pi\) | |||||||
\(108\) | 2.28112 | + | 14.4024i | 0.0211215 | + | 0.133356i | ||||
\(109\) | −67.4721 | − | 21.9230i | −0.619010 | − | 0.201129i | −0.0173095 | − | 0.999850i | \(-0.505510\pi\) |
−0.601701 | + | 0.798721i | \(0.705510\pi\) | |||||||
\(110\) | 19.7746 | + | 37.4133i | 0.179770 | + | 0.340121i | ||||
\(111\) | −28.7721 | − | 88.5515i | −0.259208 | − | 0.797761i | ||||
\(112\) | 65.7736 | + | 129.088i | 0.587264 | + | 1.15257i | ||||
\(113\) | 99.6694 | − | 50.7841i | 0.882030 | − | 0.449417i | 0.0465362 | − | 0.998917i | \(-0.485182\pi\) |
0.835494 | + | 0.549500i | \(0.185182\pi\) | |||||||
\(114\) | 26.5345 | − | 8.62158i | 0.232759 | − | 0.0756279i | ||||
\(115\) | −2.97094 | − | 17.0958i | −0.0258343 | − | 0.148659i | ||||
\(116\) | −5.38444 | + | 16.5716i | −0.0464176 | + | 0.142859i | ||||
\(117\) | −24.4759 | + | 3.87661i | −0.209196 | + | 0.0331334i | ||||
\(118\) | −68.0971 | − | 68.0971i | −0.577094 | − | 0.577094i | ||||
\(119\) | −111.799 | + | 153.878i | −0.939489 | + | 1.29310i | ||||
\(120\) | 88.6818 | + | 118.291i | 0.739015 | + | 0.985761i | ||||
\(121\) | 80.3254 | − | 58.3598i | 0.663846 | − | 0.482312i | ||||
\(122\) | 23.1328 | − | 146.055i | 0.189613 | − | 1.19717i | ||||
\(123\) | 54.7619 | − | 107.476i | 0.445219 | − | 0.873791i | ||||
\(124\) | − | 34.0454i | − | 0.274560i | ||||||
\(125\) | −43.9304 | − | 117.026i | −0.351443 | − | 0.936209i | ||||
\(126\) | 61.9748 | 0.491864 | ||||||||
\(127\) | −3.65232 | − | 1.86095i | −0.0287584 | − | 0.0146531i | 0.439552 | − | 0.898217i | \(-0.355137\pi\) |
−0.468311 | + | 0.883564i | \(0.655137\pi\) | |||||||
\(128\) | 83.5034 | + | 13.2256i | 0.652370 | + | 0.103325i | ||||
\(129\) | −39.0909 | − | 53.8040i | −0.303030 | − | 0.417085i | ||||
\(130\) | 60.1796 | − | 45.1161i | 0.462920 | − | 0.347047i | ||||
\(131\) | 72.3111 | + | 52.5371i | 0.551993 | + | 0.401047i | 0.828520 | − | 0.559960i | \(-0.189183\pi\) |
−0.276527 | + | 0.961006i | \(0.589183\pi\) | |||||||
\(132\) | −7.99725 | + | 7.99725i | −0.0605852 | + | 0.0605852i | ||||
\(133\) | −7.91249 | − | 49.9575i | −0.0594924 | − | 0.375620i | ||||
\(134\) | −6.54944 | − | 2.12804i | −0.0488764 | − | 0.0158809i | ||||
\(135\) | −102.488 | + | 17.8106i | −0.759171 | + | 0.131930i | ||||
\(136\) | 44.0105 | + | 135.450i | 0.323607 | + | 0.995960i | ||||
\(137\) | 36.3518 | + | 71.3445i | 0.265342 | + | 0.520763i | 0.984783 | − | 0.173791i | \(-0.0556018\pi\) |
−0.719441 | + | 0.694554i | \(0.755602\pi\) | |||||||
\(138\) | −19.4495 | + | 9.91001i | −0.140938 | + | 0.0718116i | ||||
\(139\) | −34.6269 | + | 11.2510i | −0.249115 | + | 0.0809422i | −0.430913 | − | 0.902394i | \(-0.641808\pi\) |
0.181798 | + | 0.983336i | \(0.441808\pi\) | |||||||
\(140\) | 35.3305 | − | 18.6738i | 0.252360 | − | 0.133384i | ||||
\(141\) | −61.1834 | + | 188.303i | −0.433925 | + | 1.33548i | ||||
\(142\) | 51.0487 | − | 8.08531i | 0.359498 | − | 0.0569388i | ||||
\(143\) | 27.2876 | + | 27.2876i | 0.190823 | + | 0.190823i | ||||
\(144\) | 22.3456 | − | 30.7561i | 0.155178 | − | 0.213584i | ||||
\(145\) | −118.780 | − | 36.6356i | −0.819172 | − | 0.252659i | ||||
\(146\) | 62.8998 | − | 45.6994i | 0.430820 | − | 0.313009i | ||||
\(147\) | 43.8971 | − | 277.155i | 0.298620 | − | 1.88541i | ||||
\(148\) | −8.55536 | + | 16.7908i | −0.0578065 | + | 0.113452i | ||||
\(149\) | 134.550i | 0.903021i | 0.892266 | + | 0.451510i | \(0.149115\pi\) | ||||
−0.892266 | + | 0.451510i | \(0.850885\pi\) | |||||||
\(150\) | −124.390 | + | 96.1991i | −0.829270 | + | 0.641327i | ||||
\(151\) | 4.03813 | 0.0267426 | 0.0133713 | − | 0.999911i | \(-0.495744\pi\) | ||||
0.0133713 | + | 0.999911i | \(0.495744\pi\) | |||||||
\(152\) | −33.7455 | − | 17.1942i | −0.222010 | − | 0.113120i | ||||
\(153\) | 49.2956 | + | 7.80766i | 0.322194 | + | 0.0510305i | ||||
\(154\) | −56.7277 | − | 78.0790i | −0.368362 | − | 0.507006i | ||||
\(155\) | 242.844 | − | 3.63912i | 1.56674 | − | 0.0234782i | ||||
\(156\) | 16.2624 | + | 11.8154i | 0.104246 | + | 0.0757395i | ||||
\(157\) | 110.437 | − | 110.437i | 0.703420 | − | 0.703420i | −0.261723 | − | 0.965143i | \(-0.584291\pi\) |
0.965143 | + | 0.261723i | \(0.0842907\pi\) | |||||||
\(158\) | −22.5348 | − | 142.279i | −0.142626 | − | 0.900503i | ||||
\(159\) | −53.0541 | − | 17.2383i | −0.333674 | − | 0.108417i | ||||
\(160\) | 7.84334 | − | 54.8257i | 0.0490209 | − | 0.342661i | ||||
\(161\) | 12.2289 | + | 37.6365i | 0.0759556 | + | 0.233767i | ||||
\(162\) | 81.6164 | + | 160.181i | 0.503805 | + | 0.988773i | ||||
\(163\) | −159.166 | + | 81.0992i | −0.976480 | + | 0.497541i | −0.868004 | − | 0.496558i | \(-0.834597\pi\) |
−0.108476 | + | 0.994099i | \(0.534597\pi\) | |||||||
\(164\) | −23.2188 | + | 7.54425i | −0.141578 | + | 0.0460015i | ||||
\(165\) | −57.8988 | − | 56.1892i | −0.350902 | − | 0.340540i | ||||
\(166\) | −34.7894 | + | 107.071i | −0.209575 | + | 0.645005i | ||||
\(167\) | 31.9422 | − | 5.05914i | 0.191270 | − | 0.0302943i | −0.0600642 | − | 0.998195i | \(-0.519131\pi\) |
0.251335 | + | 0.967900i | \(0.419131\pi\) | |||||||
\(168\) | −238.417 | − | 238.417i | −1.41915 | − | 1.41915i | ||||
\(169\) | −59.0202 | + | 81.2343i | −0.349232 | + | 0.480677i | ||||
\(170\) | −143.351 | + | 48.9643i | −0.843243 | + | 0.288025i | ||||
\(171\) | −10.7376 | + | 7.80132i | −0.0627930 | + | 0.0456218i | ||||
\(172\) | −2.10567 | + | 13.2947i | −0.0122423 | + | 0.0772948i | ||||
\(173\) | 71.4907 | − | 140.308i | 0.413241 | − | 0.811031i | −0.586758 | − | 0.809762i | \(-0.699596\pi\) |
0.999999 | − | 0.00126870i | \(-0.000403840\pi\) | |||||||
\(174\) | 156.370i | 0.898680i | ||||||||
\(175\) | 136.976 | + | 250.015i | 0.782719 | + | 1.42865i | ||||
\(176\) | −59.2018 | −0.336374 | ||||||||
\(177\) | 163.597 | + | 83.3569i | 0.924278 | + | 0.470943i | ||||
\(178\) | −171.658 | − | 27.1880i | −0.964372 | − | 0.152741i | ||||
\(179\) | 18.5657 | + | 25.5534i | 0.103719 | + | 0.142757i | 0.857721 | − | 0.514115i | \(-0.171879\pi\) |
−0.754003 | + | 0.656871i | \(0.771879\pi\) | |||||||
\(180\) | −8.57485 | − | 6.03578i | −0.0476380 | − | 0.0335321i | ||||
\(181\) | −17.5232 | − | 12.7314i | −0.0968135 | − | 0.0703391i | 0.538325 | − | 0.842737i | \(-0.319057\pi\) |
−0.635139 | + | 0.772398i | \(0.719057\pi\) | |||||||
\(182\) | −121.293 | + | 121.293i | −0.666443 | + | 0.666443i | ||||
\(183\) | 44.1042 | + | 278.463i | 0.241007 | + | 1.52166i | ||||
\(184\) | 28.1815 | + | 9.15673i | 0.153160 | + | 0.0497648i | ||||
\(185\) | −120.683 | − | 59.2303i | −0.652340 | − | 0.320164i | ||||
\(186\) | −94.4142 | − | 290.577i | −0.507603 | − | 1.56224i | ||||
\(187\) | −35.2855 | − | 69.2517i | −0.188693 | − | 0.370330i | ||||
\(188\) | 35.7054 | − | 18.1928i | 0.189923 | − | 0.0967704i | ||||
\(189\) | 225.629 | − | 73.3113i | 1.19380 | − | 0.387890i | ||||
\(190\) | 17.7484 | − | 36.1627i | 0.0934125 | − | 0.190330i | ||||
\(191\) | 34.1484 | − | 105.098i | 0.178788 | − | 0.550252i | −0.820998 | − | 0.570930i | \(-0.806583\pi\) |
0.999786 | + | 0.0206784i | \(0.00658262\pi\) | |||||||
\(192\) | −242.639 | + | 38.4302i | −1.26374 | + | 0.200158i | ||||
\(193\) | 202.877 | + | 202.877i | 1.05118 | + | 1.05118i | 0.998618 | + | 0.0525601i | \(0.0167381\pi\) |
0.0525601 | + | 0.998618i | \(0.483262\pi\) | |||||||
\(194\) | 155.648 | − | 214.231i | 0.802311 | − | 1.10429i | ||||
\(195\) | −82.5401 | + | 117.262i | −0.423283 | + | 0.601345i | ||||
\(196\) | −45.9476 | + | 33.3829i | −0.234427 | + | 0.170321i | ||||
\(197\) | 18.4724 | − | 116.630i | 0.0937684 | − | 0.592030i | −0.895402 | − | 0.445259i | \(-0.853112\pi\) |
0.989170 | − | 0.146772i | \(-0.0468882\pi\) | |||||||
\(198\) | −11.4972 | + | 22.5645i | −0.0580666 | + | 0.113962i | ||||
\(199\) | − | 304.416i | − | 1.52973i | −0.644192 | − | 0.764864i | \(-0.722806\pi\) | ||
0.644192 | − | 0.764864i | \(-0.277194\pi\) | |||||||
\(200\) | 211.739 | + | 27.0603i | 1.05869 | + | 0.135301i | ||||
\(201\) | 13.1295 | 0.0653210 | ||||||||
\(202\) | 185.566 | + | 94.5504i | 0.918641 | + | 0.468071i | ||||
\(203\) | 279.995 | + | 44.3469i | 1.37929 | + | 0.218457i | ||||
\(204\) | −23.7967 | − | 32.7533i | −0.116650 | − | 0.160555i | ||||
\(205\) | −56.2947 | − | 164.812i | −0.274608 | − | 0.803963i | ||||
\(206\) | 234.398 | + | 170.300i | 1.13785 | + | 0.826700i | ||||
\(207\) | 7.34272 | − | 7.34272i | 0.0354721 | − | 0.0354721i | ||||
\(208\) | 16.4604 | + | 103.927i | 0.0791364 | + | 0.499648i | ||||
\(209\) | 19.6570 | + | 6.38694i | 0.0940526 | + | 0.0305595i | ||||
\(210\) | 249.759 | − | 257.358i | 1.18933 | − | 1.22552i | ||||
\(211\) | −100.154 | − | 308.242i | −0.474663 | − | 1.46086i | −0.846411 | − | 0.532530i | \(-0.821241\pi\) |
0.371748 | − | 0.928334i | \(-0.378759\pi\) | |||||||
\(212\) | 5.12580 | + | 10.0599i | 0.0241783 | + | 0.0474526i | ||||
\(213\) | −87.8005 | + | 44.7366i | −0.412209 | + | 0.210031i | ||||
\(214\) | −85.6714 | + | 27.8363i | −0.400334 | + | 0.130076i | ||||
\(215\) | −95.0556 | − | 13.5986i | −0.442119 | − | 0.0632493i | ||||
\(216\) | 54.8940 | − | 168.946i | 0.254139 | − | 0.782159i | ||||
\(217\) | −547.080 | + | 86.6490i | −2.52111 | + | 0.399304i | ||||
\(218\) | 91.1174 | + | 91.1174i | 0.417970 | + | 0.417970i | ||||
\(219\) | −87.1288 | + | 119.922i | −0.397848 | + | 0.547591i | ||||
\(220\) | 0.244678 | + | 16.3278i | 0.00111217 | + | 0.0742172i | ||||
\(221\) | −111.758 | + | 81.1972i | −0.505694 | + | 0.367408i | ||||
\(222\) | −26.4558 | + | 167.035i | −0.119170 | + | 0.752410i | ||||
\(223\) | 17.0342 | − | 33.4316i | 0.0763868 | − | 0.149917i | −0.849654 | − | 0.527340i | \(-0.823189\pi\) |
0.926041 | + | 0.377422i | \(0.123189\pi\) | |||||||
\(224\) | 126.310i | 0.563884i | ||||||||
\(225\) | 42.1364 | − | 61.8092i | 0.187273 | − | 0.274707i | ||||
\(226\) | −203.179 | −0.899023 | ||||||||
\(227\) | −259.847 | − | 132.399i | −1.14470 | − | 0.583254i | −0.224413 | − | 0.974494i | \(-0.572046\pi\) |
−0.920289 | + | 0.391240i | \(0.872046\pi\) | |||||||
\(228\) | 10.6335 | + | 1.68419i | 0.0466384 | + | 0.00738679i | ||||
\(229\) | 205.786 | + | 283.240i | 0.898627 | + | 1.23685i | 0.970904 | + | 0.239469i | \(0.0769734\pi\) |
−0.0722771 | + | 0.997385i | \(0.523027\pi\) | |||||||
\(230\) | −9.28912 | + | 30.1172i | −0.0403875 | + | 0.130944i | ||||
\(231\) | 148.863 | + | 108.155i | 0.644427 | + | 0.468203i | ||||
\(232\) | 150.096 | − | 150.096i | 0.646967 | − | 0.646967i | ||||
\(233\) | −12.3861 | − | 78.2025i | −0.0531590 | − | 0.335633i | −0.999907 | − | 0.0136566i | \(-0.995653\pi\) |
0.946748 | − | 0.321976i | \(-0.104347\pi\) | |||||||
\(234\) | 42.8079 | + | 13.9091i | 0.182940 | + | 0.0594407i | ||||
\(235\) | 133.585 | + | 252.741i | 0.568448 | + | 1.07549i | ||||
\(236\) | −11.4836 | − | 35.3430i | −0.0486595 | − | 0.149758i | ||||
\(237\) | 124.687 | + | 244.712i | 0.526105 | + | 1.03254i | ||||
\(238\) | 307.822 | − | 156.843i | 1.29337 | − | 0.659004i | ||||
\(239\) | −375.540 | + | 122.021i | −1.57130 | + | 0.510546i | −0.959797 | − | 0.280696i | \(-0.909435\pi\) |
−0.611503 | + | 0.791242i | \(0.709435\pi\) | |||||||
\(240\) | −37.6656 | − | 216.740i | −0.156940 | − | 0.903084i | ||||
\(241\) | −9.67765 | + | 29.7847i | −0.0401562 | + | 0.123588i | −0.969125 | − | 0.246570i | \(-0.920696\pi\) |
0.928969 | + | 0.370158i | \(0.120696\pi\) | |||||||
\(242\) | −178.120 | + | 28.2115i | −0.736034 | + | 0.116576i | ||||
\(243\) | −109.962 | − | 109.962i | −0.452520 | − | 0.452520i | ||||
\(244\) | 33.5404 | − | 46.1644i | 0.137461 | − | 0.189199i | ||||
\(245\) | −243.030 | − | 324.174i | −0.991960 | − | 1.32316i | ||||
\(246\) | −177.251 | + | 128.780i | −0.720531 | + | 0.523496i | ||||
\(247\) | 5.74666 | − | 36.2830i | 0.0232658 | − | 0.146895i | ||||
\(248\) | −188.292 | + | 369.544i | −0.759243 | + | 1.49010i | ||||
\(249\) | − | 214.643i | − | 0.862020i | ||||||
\(250\) | −25.4043 | + | 225.617i | −0.101617 | + | 0.902469i | ||||
\(251\) | −155.694 | −0.620295 | −0.310147 | − | 0.950689i | \(-0.600378\pi\) | ||||
−0.310147 | + | 0.950689i | \(0.600378\pi\) | |||||||
\(252\) | 21.3083 | + | 10.8571i | 0.0845569 | + | 0.0430839i | ||||
\(253\) | −15.9718 | − | 2.52968i | −0.0631295 | − | 0.00999874i | ||||
\(254\) | 4.37627 | + | 6.02342i | 0.0172294 | + | 0.0237143i | ||||
\(255\) | 231.084 | − | 173.241i | 0.906212 | − | 0.679378i | ||||
\(256\) | 105.333 | + | 76.5287i | 0.411456 | + | 0.298940i | ||||
\(257\) | −49.8494 | + | 49.8494i | −0.193967 | + | 0.193967i | −0.797408 | − | 0.603441i | \(-0.793796\pi\) |
0.603441 | + | 0.797408i | \(0.293796\pi\) | |||||||
\(258\) | 18.8968 | + | 119.309i | 0.0732432 | + | 0.462440i | ||||
\(259\) | 291.589 | + | 94.7429i | 1.12582 | + | 0.365803i | ||||
\(260\) | 28.5948 | − | 4.96928i | 0.109980 | − | 0.0191126i | ||||
\(261\) | −22.9870 | − | 70.7466i | −0.0880726 | − | 0.271060i | ||||
\(262\) | −73.7042 | − | 144.653i | −0.281314 | − | 0.552109i | ||||
\(263\) | −419.056 | + | 213.520i | −1.59337 | + | 0.811863i | −0.593394 | + | 0.804912i | \(0.702212\pi\) |
−0.999976 | + | 0.00695066i | \(0.997788\pi\) | |||||||
\(264\) | 131.035 | − | 42.5760i | 0.496346 | − | 0.161273i | ||||
\(265\) | −71.2093 | + | 37.6374i | −0.268714 | + | 0.142028i | ||||
\(266\) | −28.3897 | + | 87.3747i | −0.106728 | + | 0.328476i | ||||
\(267\) | 327.277 | − | 51.8356i | 1.22576 | − | 0.194141i | ||||
\(268\) | −1.87904 | − | 1.87904i | −0.00701135 | − | 0.00701135i | ||||
\(269\) | 219.028 | − | 301.467i | 0.814232 | − | 1.12069i | −0.176425 | − | 0.984314i | \(-0.556453\pi\) |
0.990657 | − | 0.136380i | \(-0.0435467\pi\) | |||||||
\(270\) | 180.551 | + | 55.6877i | 0.668707 | + | 0.206251i | ||||
\(271\) | 269.883 | − | 196.082i | 0.995878 | − | 0.723548i | 0.0346779 | − | 0.999399i | \(-0.488959\pi\) |
0.961201 | + | 0.275850i | \(0.0889595\pi\) | |||||||
\(272\) | 33.1519 | − | 209.313i | 0.121882 | − | 0.769533i | ||||
\(273\) | 148.473 | − | 291.395i | 0.543857 | − | 1.06738i | ||||
\(274\) | − | 145.438i | − | 0.530796i | ||||||
\(275\) | −116.439 | + | 3.49056i | −0.423415 | + | 0.0126929i | ||||
\(276\) | −8.42327 | −0.0305191 | ||||||||
\(277\) | 255.508 | + | 130.188i | 0.922413 | + | 0.469993i | 0.849644 | − | 0.527356i | \(-0.176817\pi\) |
0.0727686 | + | 0.997349i | \(0.476817\pi\) | |||||||
\(278\) | 65.3169 | + | 10.3452i | 0.234953 | + | 0.0372129i | ||||
\(279\) | 85.4316 | + | 117.586i | 0.306206 | + | 0.421457i | ||||
\(280\) | −486.770 | + | 7.29444i | −1.73847 | + | 0.0260516i | ||||
\(281\) | −162.496 | − | 118.060i | −0.578278 | − | 0.420143i | 0.259825 | − | 0.965656i | \(-0.416335\pi\) |
−0.838103 | + | 0.545512i | \(0.816335\pi\) | |||||||
\(282\) | 254.293 | − | 254.293i | 0.901749 | − | 0.901749i | ||||
\(283\) | −25.4422 | − | 160.636i | −0.0899019 | − | 0.567618i | −0.990985 | − | 0.133972i | \(-0.957227\pi\) |
0.901083 | − | 0.433646i | \(-0.142773\pi\) | |||||||
\(284\) | 18.9681 | + | 6.16312i | 0.0667892 | + | 0.0217011i | ||||
\(285\) | −10.8766 | + | 76.0286i | −0.0381636 | + | 0.266767i | ||||
\(286\) | −21.6601 | − | 66.6630i | −0.0757347 | − | 0.233088i | ||||
\(287\) | 180.324 | + | 353.905i | 0.628306 | + | 1.23312i | ||||
\(288\) | 29.5316 | − | 15.0471i | 0.102540 | − | 0.0522469i | ||||
\(289\) | −10.2505 | + | 3.33060i | −0.0354690 | + | 0.0115246i | ||||
\(290\) | 162.021 | + | 157.237i | 0.558692 | + | 0.542195i | ||||
\(291\) | −156.013 | + | 480.157i | −0.536126 | + | 1.65002i | ||||
\(292\) | 29.6323 | − | 4.69329i | 0.101480 | − | 0.0160729i | ||||
\(293\) | −269.435 | − | 269.435i | −0.919573 | − | 0.919573i | 0.0774250 | − | 0.996998i | \(-0.475330\pi\) |
−0.996998 | + | 0.0774250i | \(0.975330\pi\) | |||||||
\(294\) | −299.585 | + | 412.344i | −1.01900 | + | 1.40253i | ||||
\(295\) | 250.872 | − | 85.6901i | 0.850415 | − | 0.290475i | ||||
\(296\) | 185.727 | − | 134.939i | 0.627458 | − | 0.455875i | ||||
\(297\) | −15.1653 | + | 95.7498i | −0.0510616 | + | 0.322390i | ||||
\(298\) | 110.950 | − | 217.752i | 0.372317 | − | 0.730713i | ||||
\(299\) | 28.7413i | 0.0961246i | ||||||||
\(300\) | −59.6210 | + | 11.2839i | −0.198737 | + | 0.0376130i | ||||
\(301\) | 218.993 | 0.727553 | ||||||||
\(302\) | −6.53520 | − | 3.32985i | −0.0216397 | − | 0.0110260i | ||||
\(303\) | −392.182 | − | 62.1156i | −1.29433 | − | 0.205002i | ||||
\(304\) | 33.1250 | + | 45.5927i | 0.108964 | + | 0.149976i | ||||
\(305\) | 332.874 | + | 234.308i | 1.09139 | + | 0.768223i | ||||
\(306\) | −73.3406 | − | 53.2850i | −0.239675 | − | 0.174134i | ||||
\(307\) | 15.5293 | − | 15.5293i | 0.0505840 | − | 0.0505840i | −0.681362 | − | 0.731946i | \(-0.738612\pi\) |
0.731946 | + | 0.681362i | \(0.238612\pi\) | |||||||
\(308\) | −5.82589 | − | 36.7832i | −0.0189152 | − | 0.119426i | ||||
\(309\) | −525.357 | − | 170.699i | −1.70018 | − | 0.552423i | ||||
\(310\) | −396.014 | − | 194.361i | −1.27746 | − | 0.626970i | ||||
\(311\) | 133.569 | + | 411.082i | 0.429481 | + | 1.32181i | 0.898638 | + | 0.438691i | \(0.144558\pi\) |
−0.469157 | + | 0.883115i | \(0.655442\pi\) | |||||||
\(312\) | −111.174 | − | 218.191i | −0.356326 | − | 0.699329i | ||||
\(313\) | 83.8100 | − | 42.7034i | 0.267764 | − | 0.136432i | −0.314954 | − | 0.949107i | \(-0.601989\pi\) |
0.582718 | + | 0.812674i | \(0.301989\pi\) | |||||||
\(314\) | −269.795 | + | 87.6617i | −0.859220 | + | 0.279177i | ||||
\(315\) | −75.1659 | + | 153.152i | −0.238622 | + | 0.486197i | ||||
\(316\) | 17.1774 | − | 52.8667i | 0.0543589 | − | 0.167300i | ||||
\(317\) | 190.794 | − | 30.2188i | 0.601874 | − | 0.0953274i | 0.151940 | − | 0.988390i | \(-0.451448\pi\) |
0.449933 | + | 0.893062i | \(0.351448\pi\) | |||||||
\(318\) | 71.6467 | + | 71.6467i | 0.225304 | + | 0.225304i | ||||
\(319\) | −68.0893 | + | 93.7169i | −0.213446 | + | 0.293783i | ||||
\(320\) | −204.164 | + | 290.050i | −0.638013 | + | 0.906406i | ||||
\(321\) | 138.944 | − | 100.948i | 0.432846 | − | 0.314481i | ||||
\(322\) | 11.2443 | − | 70.9940i | 0.0349203 | − | 0.220478i | ||||
\(323\) | −33.5892 | + | 65.9224i | −0.103991 | + | 0.204094i | ||||
\(324\) | 69.3720i | 0.214111i | ||||||||
\(325\) | 38.5021 | + | 203.435i | 0.118468 | + | 0.625952i | ||||
\(326\) | 324.465 | 0.995292 | ||||||||
\(327\) | −218.902 | − | 111.536i | −0.669424 | − | 0.341088i | ||||
\(328\) | 293.752 | + | 46.5257i | 0.895585 | + | 0.141847i | ||||
\(329\) | −383.217 | − | 527.453i | −1.16479 | − | 1.60320i | ||||
\(330\) | 47.3682 | + | 138.679i | 0.143540 | + | 0.420238i | ||||
\(331\) | −220.979 | − | 160.551i | −0.667611 | − | 0.485048i | 0.201613 | − | 0.979465i | \(-0.435382\pi\) |
−0.869225 | + | 0.494417i | \(0.835382\pi\) | |||||||
\(332\) | −30.7187 | + | 30.7187i | −0.0925264 | + | 0.0925264i | ||||
\(333\) | −12.5853 | − | 79.4608i | −0.0377938 | − | 0.238621i | ||||
\(334\) | −55.8662 | − | 18.1520i | −0.167264 | − | 0.0543474i | ||||
\(335\) | 13.2023 | − | 13.6040i | 0.0394097 | − | 0.0406089i | ||||
\(336\) | 155.038 | + | 477.157i | 0.461421 | + | 1.42011i | ||||
\(337\) | −258.565 | − | 507.462i | −0.767254 | − | 1.50582i | −0.860092 | − | 0.510140i | \(-0.829594\pi\) |
0.0928377 | − | 0.995681i | \(-0.470406\pi\) | |||||||
\(338\) | 162.503 | − | 82.7994i | 0.480778 | − | 0.244969i | ||||
\(339\) | 368.415 | − | 119.705i | 1.08677 | − | 0.353113i | ||||
\(340\) | −57.8653 | − | 8.27818i | −0.170192 | − | 0.0243476i | ||||
\(341\) | 69.9428 | − | 215.262i | 0.205111 | − | 0.631267i | ||||
\(342\) | 23.8105 | − | 3.77121i | 0.0696212 | − | 0.0110269i | ||||
\(343\) | 258.277 | + | 258.277i | 0.752995 | + | 0.752995i | ||||
\(344\) | 96.3838 | − | 132.661i | 0.280185 | − | 0.385642i | ||||
\(345\) | −0.900365 | − | 60.0828i | −0.00260975 | − | 0.174153i | ||||
\(346\) | −231.397 | + | 168.120i | −0.668778 | + | 0.485896i | ||||
\(347\) | −52.3196 | + | 330.333i | −0.150777 | + | 0.951968i | 0.790040 | + | 0.613055i | \(0.210059\pi\) |
−0.940817 | + | 0.338914i | \(0.889941\pi\) | |||||||
\(348\) | −27.3939 | + | 53.7636i | −0.0787182 | + | 0.154493i | ||||
\(349\) | 502.965i | 1.44116i | 0.693372 | + | 0.720580i | \(0.256124\pi\) | ||||
−0.693372 | + | 0.720580i | \(0.743876\pi\) | |||||||
\(350\) | −15.5154 | − | 517.568i | −0.0443297 | − | 1.47877i | ||||
\(351\) | 172.302 | 0.490889 | ||||||||
\(352\) | −45.9884 | − | 23.4323i | −0.130649 | − | 0.0665690i | ||||
\(353\) | 173.477 | + | 27.4761i | 0.491437 | + | 0.0778360i | 0.397235 | − | 0.917717i | \(-0.369970\pi\) |
0.0942023 | + | 0.995553i | \(0.469970\pi\) | |||||||
\(354\) | −196.025 | − | 269.805i | −0.553743 | − | 0.762162i | ||||
\(355\) | −41.9337 | + | 135.958i | −0.118123 | + | 0.382979i | ||||
\(356\) | −54.2570 | − | 39.4200i | −0.152407 | − | 0.110730i | ||||
\(357\) | −465.752 | + | 465.752i | −1.30463 | + | 1.30463i | ||||
\(358\) | −8.97475 | − | 56.6643i | −0.0250691 | − | 0.158280i | ||||
\(359\) | −129.730 | − | 42.1519i | −0.361366 | − | 0.117415i | 0.122706 | − | 0.992443i | \(-0.460843\pi\) |
−0.484072 | + | 0.875028i | \(0.660843\pi\) | |||||||
\(360\) | 59.6936 | + | 112.939i | 0.165816 | + | 0.313720i | ||||
\(361\) | 105.475 | + | 324.619i | 0.292175 | + | 0.899223i | ||||
\(362\) | 17.8608 | + | 35.0539i | 0.0493393 | + | 0.0968339i | ||||
\(363\) | 306.355 | − | 156.096i | 0.843954 | − | 0.430016i | ||||
\(364\) | −62.9519 | + | 20.4543i | −0.172945 | + | 0.0561932i | ||||
\(365\) | 36.6444 | + | 210.864i | 0.100396 | + | 0.577710i | ||||
\(366\) | 158.244 | − | 487.026i | 0.432362 | − | 1.33067i | ||||
\(367\) | 330.443 | − | 52.3370i | 0.900389 | − | 0.142608i | 0.310955 | − | 0.950425i | \(-0.399351\pi\) |
0.589433 | + | 0.807817i | \(0.299351\pi\) | |||||||
\(368\) | −31.1778 | − | 31.1778i | −0.0847222 | − | 0.0847222i | ||||
\(369\) | 61.2623 | − | 84.3204i | 0.166023 | − | 0.228510i | ||||
\(370\) | 146.469 | + | 195.372i | 0.395861 | + | 0.528033i | ||||
\(371\) | 148.609 | − | 107.971i | 0.400563 | − | 0.291026i | ||||
\(372\) | 18.4434 | − | 116.447i | 0.0495790 | − | 0.313030i | ||||
\(373\) | −83.7541 | + | 164.377i | −0.224542 | + | 0.440688i | −0.975602 | − | 0.219545i | \(-0.929543\pi\) |
0.751060 | + | 0.660233i | \(0.229543\pi\) | |||||||
\(374\) | 141.172i | 0.377465i | ||||||||
\(375\) | −86.8605 | − | 424.068i | −0.231628 | − | 1.13085i | ||||
\(376\) | −488.180 | −1.29835 | ||||||||
\(377\) | 183.448 | + | 93.4716i | 0.486600 | + | 0.247935i | ||||
\(378\) | −425.605 | − | 67.4092i | −1.12594 | − | 0.178331i | ||||
\(379\) | 143.236 | + | 197.147i | 0.377931 | + | 0.520178i | 0.955035 | − | 0.296493i | \(-0.0958171\pi\) |
−0.577104 | + | 0.816671i | \(0.695817\pi\) | |||||||
\(380\) | 12.4375 | − | 9.32427i | 0.0327303 | − | 0.0245376i | ||||
\(381\) | −11.4840 | − | 8.34365i | −0.0301418 | − | 0.0218993i | ||||
\(382\) | −141.929 | + | 141.929i | −0.371542 | + | 0.371542i | ||||
\(383\) | −101.123 | − | 638.468i | −0.264030 | − | 1.66702i | −0.661912 | − | 0.749582i | \(-0.730255\pi\) |
0.397882 | − | 0.917437i | \(-0.369745\pi\) | |||||||
\(384\) | 278.445 | + | 90.4724i | 0.725118 | + | 0.235605i | ||||
\(385\) | 261.750 | − | 45.4876i | 0.679871 | − | 0.118150i | ||||
\(386\) | −161.038 | − | 495.625i | −0.417198 | − | 1.28400i | ||||
\(387\) | −26.0883 | − | 51.2012i | −0.0674117 | − | 0.132303i | ||||
\(388\) | 91.0458 | − | 46.3902i | 0.234654 | − | 0.119562i | ||||
\(389\) | 698.667 | − | 227.011i | 1.79606 | − | 0.583575i | 0.796288 | − | 0.604918i | \(-0.206794\pi\) |
0.999772 | + | 0.0213423i | \(0.00679398\pi\) | |||||||
\(390\) | 230.276 | − | 121.711i | 0.590450 | − | 0.312080i | ||||
\(391\) | 17.8878 | − | 55.0530i | 0.0457489 | − | 0.140801i | ||||
\(392\) | 683.364 | − | 108.234i | 1.74328 | − | 0.276108i | ||||
\(393\) | 218.868 | + | 218.868i | 0.556916 | + | 0.556916i | ||||
\(394\) | −126.069 | + | 173.519i | −0.319971 | + | 0.440402i | ||||
\(395\) | 378.932 | + | 116.875i | 0.959321 | + | 0.295886i | ||||
\(396\) | −7.90599 | + | 5.74404i | −0.0199646 | + | 0.0145051i | ||||
\(397\) | 29.3710 | − | 185.441i | 0.0739823 | − | 0.467106i | −0.922687 | − | 0.385551i | \(-0.874011\pi\) |
0.996669 | − | 0.0815548i | \(-0.0259886\pi\) | |||||||
\(398\) | −251.022 | + | 492.659i | −0.630709 | + | 1.23784i | ||||
\(399\) | − | 175.158i | − | 0.438993i | ||||||
\(400\) | −262.446 | − | 178.914i | −0.656116 | − | 0.447286i | ||||
\(401\) | 88.3502 | 0.220325 | 0.110162 | − | 0.993914i | \(-0.464863\pi\) | ||||
0.110162 | + | 0.993914i | \(0.464863\pi\) | |||||||
\(402\) | −21.2485 | − | 10.8267i | −0.0528570 | − | 0.0269320i | ||||
\(403\) | −397.332 | − | 62.9312i | −0.985935 | − | 0.156157i | ||||
\(404\) | 47.2377 | + | 65.0171i | 0.116925 | + | 0.160933i | ||||
\(405\) | −494.827 | + | 7.41518i | −1.22180 | + | 0.0183091i | ||||
\(406\) | −416.568 | − | 302.655i | −1.02603 | − | 0.745455i | ||||
\(407\) | −88.5888 | + | 88.5888i | −0.217663 | + | 0.217663i | ||||
\(408\) | 77.1536 | + | 487.129i | 0.189102 | + | 1.19394i | ||||
\(409\) | −172.391 | − | 56.0134i | −0.421495 | − | 0.136952i | 0.0905870 | − | 0.995889i | \(-0.471126\pi\) |
−0.512082 | + | 0.858936i | \(0.671126\pi\) | |||||||
\(410\) | −44.7989 | + | 313.149i | −0.109266 | + | 0.763778i | ||||
\(411\) | 85.6864 | + | 263.715i | 0.208483 | + | 0.641644i | ||||
\(412\) | 50.7571 | + | 99.6164i | 0.123197 | + | 0.241787i | ||||
\(413\) | −538.704 | + | 274.483i | −1.30437 | + | 0.664609i | ||||
\(414\) | −17.9381 | + | 5.82844i | −0.0433288 | + | 0.0140784i | ||||
\(415\) | −222.399 | − | 215.832i | −0.535901 | − | 0.520077i | ||||
\(416\) | −28.3480 | + | 87.2463i | −0.0681443 | + | 0.209727i | ||||
\(417\) | −124.531 | + | 19.7238i | −0.298635 | + | 0.0472992i | ||||
\(418\) | −26.5457 | − | 26.5457i | −0.0635064 | − | 0.0635064i | ||||
\(419\) | 113.418 | − | 156.106i | 0.270687 | − | 0.372569i | −0.651934 | − | 0.758275i | \(-0.726042\pi\) |
0.922622 | + | 0.385706i | \(0.126042\pi\) | |||||||
\(420\) | 130.958 | − | 44.7312i | 0.311806 | − | 0.106503i | ||||
\(421\) | −659.764 | + | 479.346i | −1.56713 | + | 1.13859i | −0.637298 | + | 0.770617i | \(0.719948\pi\) |
−0.929837 | + | 0.367972i | \(0.880052\pi\) | |||||||
\(422\) | −92.0908 | + | 581.439i | −0.218225 | + | 1.37782i | ||||
\(423\) | −77.6679 | + | 152.432i | −0.183612 | + | 0.360359i | ||||
\(424\) | − | 137.544i | − | 0.324396i | ||||||
\(425\) | 52.8627 | − | 413.635i | 0.124383 | − | 0.973260i | ||||
\(426\) | 178.984 | 0.420150 | ||||||||
\(427\) | −827.186 | − | 421.472i | −1.93720 | − | 0.987055i | ||||
\(428\) | −34.3323 | − | 5.43771i | −0.0802157 | − | 0.0127049i | ||||
\(429\) | 78.5505 | + | 108.116i | 0.183101 | + | 0.252017i | ||||
\(430\) | 142.622 | + | 100.391i | 0.331679 | + | 0.233467i | ||||
\(431\) | −199.776 | − | 145.146i | −0.463518 | − | 0.336765i | 0.331392 | − | 0.943493i | \(-0.392482\pi\) |
−0.794910 | + | 0.606728i | \(0.792482\pi\) | |||||||
\(432\) | −186.909 | + | 186.909i | −0.432659 | + | 0.432659i | ||||
\(433\) | 120.729 | + | 762.250i | 0.278819 | + | 1.76039i | 0.587498 | + | 0.809226i | \(0.300113\pi\) |
−0.308679 | + | 0.951166i | \(0.599887\pi\) | |||||||
\(434\) | 956.832 | + | 310.894i | 2.20468 | + | 0.716345i | ||||
\(435\) | −386.422 | − | 189.653i | −0.888326 | − | 0.435984i | ||||
\(436\) | 15.3657 | + | 47.2908i | 0.0352424 | + | 0.108465i | ||||
\(437\) | 6.98848 | + | 13.7157i | 0.0159919 | + | 0.0313860i | ||||
\(438\) | 239.895 | − | 122.233i | 0.547707 | − | 0.279070i | ||||
\(439\) | −16.9661 | + | 5.51263i | −0.0386472 | + | 0.0125572i | −0.328277 | − | 0.944582i | \(-0.606468\pi\) |
0.289630 | + | 0.957139i | \(0.406468\pi\) | |||||||
\(440\) | 87.6468 | − | 178.582i | 0.199197 | − | 0.405869i | ||||
\(441\) | 74.9254 | − | 230.597i | 0.169899 | − | 0.522895i | ||||
\(442\) | 247.822 | − | 39.2512i | 0.560684 | − | 0.0888036i | ||||
\(443\) | 184.814 | + | 184.814i | 0.417187 | + | 0.417187i | 0.884233 | − | 0.467046i | \(-0.154682\pi\) |
−0.467046 | + | 0.884233i | \(0.654682\pi\) | |||||||
\(444\) | −38.3584 | + | 52.7958i | −0.0863927 | + | 0.118909i | ||||
\(445\) | 275.382 | − | 391.226i | 0.618835 | − | 0.879160i | ||||
\(446\) | −55.1356 | + | 40.0583i | −0.123622 | + | 0.0898169i | ||||
\(447\) | −72.8897 | + | 460.207i | −0.163064 | + | 1.02955i | ||||
\(448\) | 367.250 | − | 720.769i | 0.819755 | − | 1.60886i | ||||
\(449\) | 266.342i | 0.593189i | 0.955004 | + | 0.296594i | \(0.0958509\pi\) | ||||
−0.955004 | + | 0.296594i | \(0.904149\pi\) | |||||||
\(450\) | −119.160 | + | 65.2846i | −0.264801 | + | 0.145077i | ||||
\(451\) | −162.307 | −0.359881 | ||||||||
\(452\) | −69.8576 | − | 35.5942i | −0.154552 | − | 0.0787483i | ||||
\(453\) | 13.8118 | + | 2.18757i | 0.0304896 | + | 0.00482907i | ||||
\(454\) | 311.354 | + | 428.542i | 0.685801 | + | 0.943924i | ||||
\(455\) | −152.629 | − | 446.847i | −0.335448 | − | 0.982081i | ||||
\(456\) | −106.107 | − | 77.0910i | −0.232690 | − | 0.169059i | ||||
\(457\) | 473.310 | − | 473.310i | 1.03569 | − | 1.03569i | 0.0363511 | − | 0.999339i | \(-0.488427\pi\) |
0.999339 | − | 0.0363511i | \(-0.0115735\pi\) | |||||||
\(458\) | −99.4779 | − | 628.079i | −0.217201 | − | 1.37135i | ||||
\(459\) | −330.040 | − | 107.236i | −0.719041 | − | 0.233630i | ||||
\(460\) | −8.46993 | + | 8.72764i | −0.0184129 | + | 0.0189731i | ||||
\(461\) | 14.4681 | + | 44.5284i | 0.0313843 | + | 0.0965909i | 0.965522 | − | 0.260323i | \(-0.0838290\pi\) |
−0.934137 | + | 0.356914i | \(0.883829\pi\) | |||||||
\(462\) | −151.730 | − | 297.788i | −0.328421 | − | 0.644562i | ||||
\(463\) | 308.662 | − | 157.271i | 0.666657 | − | 0.339679i | −0.0876962 | − | 0.996147i | \(-0.527950\pi\) |
0.754354 | + | 0.656468i | \(0.227950\pi\) | |||||||
\(464\) | −300.395 | + | 97.6044i | −0.647404 | + | 0.210354i | ||||
\(465\) | 832.583 | + | 119.109i | 1.79050 | + | 0.256148i | ||||
\(466\) | −44.4407 | + | 136.775i | −0.0953664 | + | 0.293508i | ||||
\(467\) | −106.477 | + | 16.8643i | −0.228002 | + | 0.0361120i | −0.269390 | − | 0.963031i | \(-0.586822\pi\) |
0.0413877 | + | 0.999143i | \(0.486822\pi\) | |||||||
\(468\) | 12.2816 | + | 12.2816i | 0.0262428 | + | 0.0262428i | ||||
\(469\) | −25.4122 | + | 34.9769i | −0.0541838 | + | 0.0745776i | ||||
\(470\) | −7.78018 | − | 519.184i | −0.0165536 | − | 1.10465i | ||||
\(471\) | 437.559 | − | 317.905i | 0.929000 | − | 0.674958i | ||||
\(472\) | −70.8201 | + | 447.140i | −0.150042 | + | 0.947331i | ||||
\(473\) | −40.6263 | + | 79.7337i | −0.0858908 | + | 0.168570i | ||||
\(474\) | − | 498.852i | − | 1.05243i | ||||||
\(475\) | 67.8391 | + | 87.7194i | 0.142819 | + | 0.184673i | ||||
\(476\) | 133.313 | 0.280069 | ||||||||
\(477\) | −42.9474 | − | 21.8828i | −0.0900365 | − | 0.0458759i | ||||
\(478\) | 708.384 | + | 112.197i | 1.48197 | + | 0.234722i | ||||
\(479\) | −214.282 | − | 294.934i | −0.447353 | − | 0.615729i | 0.524473 | − | 0.851427i | \(-0.324262\pi\) |
−0.971826 | + | 0.235698i | \(0.924262\pi\) | |||||||
\(480\) | 56.5276 | − | 183.274i | 0.117766 | − | 0.381821i | ||||
\(481\) | 180.146 | + | 130.884i | 0.374524 | + | 0.272107i | ||||
\(482\) | 40.2227 | − | 40.2227i | 0.0834495 | − | 0.0834495i | ||||
\(483\) | 21.4381 | + | 135.355i | 0.0443852 | + | 0.280237i | ||||
\(484\) | −66.1840 | − | 21.5045i | −0.136744 | − | 0.0444308i | ||||
\(485\) | 340.631 | + | 644.467i | 0.702332 | + | 1.32880i | ||||
\(486\) | 87.2850 | + | 268.636i | 0.179599 | + | 0.552748i | ||||
\(487\) | −171.861 | − | 337.296i | −0.352897 | − | 0.692599i | 0.644508 | − | 0.764598i | \(-0.277062\pi\) |
−0.997405 | + | 0.0719988i | \(0.977062\pi\) | |||||||
\(488\) | −619.381 | + | 315.590i | −1.26922 | + | 0.646701i | ||||
\(489\) | −588.337 | + | 191.162i | −1.20314 | + | 0.390925i | ||||
\(490\) | 125.999 | + | 725.039i | 0.257141 | + | 1.47967i | ||||
\(491\) | −80.8943 | + | 248.967i | −0.164754 | + | 0.507061i | −0.999018 | − | 0.0443043i | \(-0.985893\pi\) |
0.834264 | + | 0.551365i | \(0.185893\pi\) | |||||||
\(492\) | −83.5033 | + | 13.2256i | −0.169722 | + | 0.0268813i | ||||
\(493\) | −293.216 | − | 293.216i | −0.594758 | − | 0.594758i | ||||
\(494\) | −39.2193 | + | 53.9808i | −0.0793914 | + | 0.109273i | ||||
\(495\) | −41.8170 | − | 55.7791i | −0.0844788 | − | 0.112685i | ||||
\(496\) | 499.281 | − | 362.749i | 1.00662 | − | 0.731349i | ||||
\(497\) | 50.7602 | − | 320.487i | 0.102133 | − | 0.644843i | ||||
\(498\) | −176.995 | + | 347.373i | −0.355412 | + | 0.697535i | ||||
\(499\) | − | 75.2156i | − | 0.150733i | −0.997156 | − | 0.0753664i | \(-0.975987\pi\) | ||
0.997156 | − | 0.0753664i | \(-0.0240126\pi\) | |||||||
\(500\) | −48.2597 | + | 73.1218i | −0.0965193 | + | 0.146244i | ||||
\(501\) | 111.994 | 0.223541 | ||||||||
\(502\) | 251.971 | + | 128.386i | 0.501935 | + | 0.255748i | ||||
\(503\) | 778.940 | + | 123.372i | 1.54859 | + | 0.245272i | 0.871413 | − | 0.490549i | \(-0.163204\pi\) |
0.677175 | + | 0.735822i | \(0.263204\pi\) | |||||||
\(504\) | −171.244 | − | 235.697i | −0.339769 | − | 0.467652i | ||||
\(505\) | −458.715 | + | 343.894i | −0.908346 | + | 0.680978i | ||||
\(506\) | 23.7623 | + | 17.2643i | 0.0469611 | + | 0.0341193i | ||||
\(507\) | −245.876 | + | 245.876i | −0.484963 | + | 0.484963i | ||||
\(508\) | 0.449440 | + | 2.83765i | 0.000884724 | + | 0.00558593i | ||||
\(509\) | −193.504 | − | 62.8734i | −0.380166 | − | 0.123523i | 0.112699 | − | 0.993629i | \(-0.464050\pi\) |
−0.492865 | + | 0.870106i | \(0.664050\pi\) | |||||||
\(510\) | −516.836 | + | 89.8169i | −1.01340 | + | 0.176112i | ||||
\(511\) | −150.834 | − | 464.220i | −0.295175 | − | 0.908454i | ||||
\(512\) | −260.891 | − | 512.028i | −0.509553 | − | 1.00005i | ||||
\(513\) | 82.2246 | − | 41.8955i | 0.160282 | − | 0.0816677i | ||||
\(514\) | 121.781 | − | 39.5690i | 0.236928 | − | 0.0769826i | ||||
\(515\) | −705.134 | + | 372.696i | −1.36919 | + | 0.723682i | ||||
\(516\) | −14.4043 | + | 44.3317i | −0.0279152 | + | 0.0859142i | ||||
\(517\) | 263.133 | − | 41.6762i | 0.508962 | − | 0.0806116i | ||||
\(518\) | −393.774 | − | 393.774i | −0.760182 | − | 0.760182i | ||||
\(519\) | 320.532 | − | 441.174i | 0.617595 | − | 0.850046i | ||||
\(520\) | −337.864 | − | 104.208i | −0.649739 | − | 0.200401i | ||||
\(521\) | −626.036 | + | 454.842i | −1.20160 | + | 0.873016i | −0.994442 | − | 0.105290i | \(-0.966423\pi\) |
−0.207163 | + | 0.978307i | \(0.566423\pi\) | |||||||
\(522\) | −21.1363 | + | 133.450i | −0.0404911 | + | 0.255651i | ||||
\(523\) | 328.674 | − | 645.059i | 0.628440 | − | 1.23338i | −0.328885 | − | 0.944370i | \(-0.606673\pi\) |
0.957325 | − | 0.289013i | \(-0.0933271\pi\) | |||||||
\(524\) | − | 62.6468i | − | 0.119555i | ||||||
\(525\) | 333.064 | + | 929.339i | 0.634408 | + | 1.77017i | ||||
\(526\) | 854.259 | 1.62407 | ||||||||
\(527\) | 721.911 | + | 367.832i | 1.36985 | + | 0.697973i | ||||
\(528\) | −202.490 | − | 32.0713i | −0.383504 | − | 0.0607411i | ||||
\(529\) | 303.859 | + | 418.226i | 0.574403 | + | 0.790598i | ||||
\(530\) | 146.279 | − | 2.19205i | 0.275998 | − | 0.00413595i | ||||
\(531\) | 128.350 | + | 93.2517i | 0.241714 | + | 0.175615i | ||||
\(532\) | −25.0679 | + | 25.0679i | −0.0471201 | + | 0.0471201i | ||||
\(533\) | 45.1275 | + | 284.924i | 0.0846670 | + | 0.534566i | ||||
\(534\) | −572.401 | − | 185.984i | −1.07191 | − | 0.348286i | ||||
\(535\) | 35.1171 | − | 245.472i | 0.0656395 | − | 0.458826i | ||||
\(536\) | 10.0037 | + | 30.7882i | 0.0186636 | + | 0.0574407i | ||||
\(537\) | 49.6579 | + | 97.4590i | 0.0924727 | + | 0.181488i | ||||
\(538\) | −603.060 | + | 307.275i | −1.12093 | + | 0.571142i | ||||
\(539\) | −359.099 | + | 116.678i | −0.666232 | + | 0.216472i | ||||
\(540\) | 52.3217 | + | 50.7767i | 0.0968921 | + | 0.0940310i | ||||
\(541\) | 283.746 | − | 873.280i | 0.524484 | − | 1.61420i | −0.240850 | − | 0.970562i | \(-0.577426\pi\) |
0.765334 | − | 0.643633i | \(-0.222574\pi\) | |||||||
\(542\) | −598.461 | + | 94.7870i | −1.10417 | + | 0.174884i | ||||
\(543\) | −53.0385 | − | 53.0385i | −0.0976768 | − | 0.0976768i | ||||
\(544\) | 108.600 | − | 149.475i | 0.199632 | − | 0.274769i | ||||
\(545\) | −335.680 | + | 114.658i | −0.615927 | + | 0.210381i | ||||
\(546\) | −480.570 | + | 349.154i | −0.880164 | + | 0.639477i | ||||
\(547\) | −55.9587 | + | 353.309i | −0.102301 | + | 0.645903i | 0.882247 | + | 0.470787i | \(0.156030\pi\) |
−0.984548 | + | 0.175116i | \(0.943970\pi\) | |||||||
\(548\) | 25.4788 | − | 50.0049i | 0.0464941 | − | 0.0912498i | ||||
\(549\) | 243.608i | 0.443730i | ||||||||
\(550\) | 191.320 | + | 90.3670i | 0.347855 | + | 0.164304i | ||||
\(551\) | 110.271 | 0.200130 | ||||||||
\(552\) | 91.4299 | + | 46.5859i | 0.165634 | + | 0.0843947i | ||||
\(553\) | −893.240 | − | 141.475i | −1.61526 | − | 0.255832i | ||||
\(554\) | −306.155 | − | 421.386i | −0.552626 | − | 0.760625i | ||||
\(555\) | −380.690 | − | 267.965i | −0.685928 | − | 0.482820i | ||||
\(556\) | 20.6451 | + | 14.9995i | 0.0371315 | + | 0.0269776i | ||||
\(557\) | 404.198 | − | 404.198i | 0.725670 | − | 0.725670i | −0.244084 | − | 0.969754i | \(-0.578487\pi\) |
0.969754 | + | 0.244084i | \(0.0784872\pi\) | |||||||
\(558\) | −41.2981 | − | 260.746i | −0.0740110 | − | 0.467287i | ||||
\(559\) | 151.265 | + | 49.1491i | 0.270600 | + | 0.0879233i | ||||
\(560\) | 650.295 | + | 319.160i | 1.16124 | + | 0.569929i | ||||
\(561\) | −83.1729 | − | 255.980i | −0.148258 | − | 0.456292i | ||||
\(562\) | 165.627 | + | 325.060i | 0.294709 | + | 0.578399i | ||||
\(563\) | 872.036 | − | 444.324i | 1.54891 | − | 0.789208i | 0.549966 | − | 0.835187i | \(-0.314641\pi\) |
0.998942 | + | 0.0459785i | \(0.0146406\pi\) | |||||||
\(564\) | 131.980 | − | 42.8830i | 0.234008 | − | 0.0760338i | ||||
\(565\) | 246.425 | − | 502.096i | 0.436150 | − | 0.888665i | ||||
\(566\) | −91.2859 | + | 280.949i | −0.161282 | + | 0.496376i | ||||
\(567\) | 1114.75 | − | 176.559i | 1.96605 | − | 0.311391i | ||||
\(568\) | −171.803 | − | 171.803i | −0.302469 | − | 0.302469i | ||||
\(569\) | −431.512 | + | 593.925i | −0.758369 | + | 1.04381i | 0.238979 | + | 0.971025i | \(0.423187\pi\) |
−0.997348 | + | 0.0727807i | \(0.976813\pi\) | |||||||
\(570\) | 80.2959 | − | 114.074i | 0.140870 | − | 0.200130i | ||||
\(571\) | −612.726 | + | 445.171i | −1.07308 | + | 0.779635i | −0.976463 | − | 0.215687i | \(-0.930801\pi\) |
−0.0966128 | + | 0.995322i | \(0.530801\pi\) | |||||||
\(572\) | 4.23121 | − | 26.7148i | 0.00739723 | − | 0.0467042i | ||||
\(573\) | 173.734 | − | 340.972i | 0.303201 | − | 0.595065i | ||||
\(574\) | − | 721.447i | − | 1.25688i | ||||||
\(575\) | −63.1592 | − | 59.4827i | −0.109842 | − | 0.103448i | ||||
\(576\) | −212.268 | −0.368520 | ||||||||
\(577\) | 367.699 | + | 187.352i | 0.637261 | + | 0.324700i | 0.742599 | − | 0.669736i | \(-0.233593\pi\) |
−0.105339 | + | 0.994436i | \(0.533593\pi\) | |||||||
\(578\) | 19.3356 | + | 3.06246i | 0.0334527 | + | 0.00529838i | ||||
\(579\) | 584.005 | + | 803.815i | 1.00865 | + | 1.38828i | ||||
\(580\) | 28.1607 | + | 82.4453i | 0.0485529 | + | 0.142147i | ||||
\(581\) | 571.806 | + | 415.441i | 0.984175 | + | 0.715045i | ||||
\(582\) | 648.426 | − | 648.426i | 1.11413 | − | 1.11413i | ||||
\(583\) | 11.7422 | + | 74.1373i | 0.0201410 | + | 0.127165i | ||||
\(584\) | −347.599 | − | 112.942i | −0.595203 | − | 0.193393i | ||||
\(585\) | −86.2916 | + | 88.9172i | −0.147507 | + | 0.151995i | ||||
\(586\) | 213.870 | + | 658.224i | 0.364966 | + | 1.12325i | ||||
\(587\) | −199.151 | − | 390.856i | −0.339269 | − | 0.665853i | 0.656835 | − | 0.754034i | \(-0.271895\pi\) |
−0.996104 | + | 0.0881807i | \(0.971895\pi\) | |||||||
\(588\) | −175.241 | + | 89.2898i | −0.298029 | + | 0.151853i | ||||
\(589\) | −204.913 | + | 66.5803i | −0.347900 | + | 0.113040i | ||||
\(590\) | −476.666 | − | 68.1916i | −0.807908 | − | 0.115579i | ||||
\(591\) | 126.364 | − | 388.907i | 0.213813 | − | 0.658050i | ||||
\(592\) | −337.397 | + | 53.4384i | −0.569927 | + | 0.0902675i | ||||
\(593\) | −279.182 | − | 279.182i | −0.470796 | − | 0.470796i | 0.431376 | − | 0.902172i | \(-0.358028\pi\) |
−0.902172 | + | 0.431376i | \(0.858028\pi\) | |||||||
\(594\) | 103.499 | − | 142.454i | 0.174240 | − | 0.239821i | ||||
\(595\) | 14.2498 | + | 950.914i | 0.0239493 | + | 1.59817i | ||||
\(596\) | 76.2945 | − | 55.4312i | 0.128011 | − | 0.0930054i | ||||
\(597\) | 164.911 | − | 1041.21i | 0.276233 | − | 1.74406i | ||||
\(598\) | 23.7001 | − | 46.5141i | 0.0396323 | − | 0.0777828i | ||||
\(599\) | 65.2707i | 0.108966i | 0.998515 | + | 0.0544831i | \(0.0173511\pi\) | ||||
−0.998515 | + | 0.0544831i | \(0.982649\pi\) | |||||||
\(600\) | 709.560 | + | 207.260i | 1.18260 | + | 0.345434i | ||||
\(601\) | 192.168 | 0.319747 | 0.159873 | − | 0.987138i | \(-0.448891\pi\) | ||||
0.159873 | + | 0.987138i | \(0.448891\pi\) | |||||||
\(602\) | −354.413 | − | 180.583i | −0.588727 | − | 0.299971i | ||||
\(603\) | 11.2050 | + | 1.77470i | 0.0185821 | + | 0.00294312i | ||||
\(604\) | −1.66361 | − | 2.28976i | −0.00275431 | − | 0.00379099i | ||||
\(605\) | 146.316 | − | 474.386i | 0.241845 | − | 0.784109i | ||||
\(606\) | 583.477 | + | 423.921i | 0.962833 | + | 0.699539i | ||||
\(607\) | −510.986 | + | 510.986i | −0.841822 | + | 0.841822i | −0.989096 | − | 0.147274i | \(-0.952950\pi\) |
0.147274 | + | 0.989096i | \(0.452950\pi\) | |||||||
\(608\) | 7.68605 | + | 48.5278i | 0.0126415 | + | 0.0798154i | ||||
\(609\) | 933.655 | + | 303.363i | 1.53310 | + | 0.498133i | ||||
\(610\) | −345.504 | − | 653.687i | −0.566400 | − | 1.07162i | ||||
\(611\) | −146.322 | − | 450.334i | −0.239480 | − | 0.737044i | ||||
\(612\) | −15.8813 | − | 31.1689i | −0.0259499 | − | 0.0509295i | ||||
\(613\) | −104.510 | + | 53.2504i | −0.170489 | + | 0.0868686i | −0.537153 | − | 0.843485i | \(-0.680500\pi\) |
0.366663 | + | 0.930354i | \(0.380500\pi\) | |||||||
\(614\) | −37.9377 | + | 12.3267i | −0.0617877 | + | 0.0200761i | ||||
\(615\) | −103.263 | − | 594.211i | −0.167908 | − | 0.966197i | ||||
\(616\) | −140.197 | + | 431.482i | −0.227593 | + | 0.700458i | ||||
\(617\) | −667.508 | + | 105.723i | −1.08186 | + | 0.171350i | −0.671818 | − | 0.740716i | \(-0.734486\pi\) |
−0.410043 | + | 0.912066i | \(0.634486\pi\) | |||||||
\(618\) | 709.465 | + | 709.465i | 1.14800 | + | 1.14800i | ||||
\(619\) | −239.653 | + | 329.853i | −0.387161 | + | 0.532881i | −0.957464 | − | 0.288553i | \(-0.906826\pi\) |
0.570303 | + | 0.821434i | \(0.306826\pi\) | |||||||
\(620\) | −102.109 | − | 136.202i | −0.164692 | − | 0.219681i | ||||
\(621\) | −58.4119 | + | 42.4387i | −0.0940610 | + | 0.0683393i | ||||
\(622\) | 122.815 | − | 775.425i | 0.197452 | − | 1.24666i | ||||
\(623\) | −495.356 | + | 972.191i | −0.795114 | + | 1.56050i | ||||
\(624\) | 364.382i | 0.583946i | ||||||||
\(625\) | −526.733 | − | 336.418i | −0.842773 | − | 0.538269i | ||||
\(626\) | −170.849 | −0.272922 | ||||||||
\(627\) | 63.7736 | + | 32.4943i | 0.101712 | + | 0.0518250i | ||||
\(628\) | −108.119 | − | 17.1243i | −0.172164 | − | 0.0272680i | ||||
\(629\) | −263.605 | − | 362.822i | −0.419087 | − | 0.576823i | ||||
\(630\) | 247.936 | − | 185.875i | 0.393549 | − | 0.295040i | ||||
\(631\) | 620.336 | + | 450.700i | 0.983099 | + | 0.714263i | 0.958399 | − | 0.285431i | \(-0.0921369\pi\) |
0.0247001 | + | 0.999695i | \(0.492137\pi\) | |||||||
\(632\) | −478.837 | + | 478.837i | −0.757653 | + | 0.757653i | ||||
\(633\) | −175.577 | − | 1108.55i | −0.277373 | − | 1.75126i | ||||
\(634\) | −333.695 | − | 108.424i | −0.526332 | − | 0.171016i | ||||
\(635\) | −20.1928 | + | 3.50915i | −0.0317997 | + | 0.00552622i | ||||
\(636\) | 12.0822 | + | 37.1853i | 0.0189972 | + | 0.0584674i | ||||
\(637\) | 304.668 | + | 597.945i | 0.478286 | + | 0.938689i | ||||
\(638\) | 187.473 | − | 95.5224i | 0.293845 | − | 0.149722i | ||||
\(639\) | −80.9777 | + | 26.3112i | −0.126726 | + | 0.0411757i | ||||
\(640\) | 373.730 | − | 197.533i | 0.583953 | − | 0.308646i | ||||
\(641\) | 8.23463 | − | 25.3436i | 0.0128465 | − | 0.0395376i | −0.944428 | − | 0.328719i | \(-0.893383\pi\) |
0.957274 | + | 0.289181i | \(0.0933831\pi\) | |||||||
\(642\) | −308.105 | + | 48.7991i | −0.479915 | + | 0.0760111i | ||||
\(643\) | 16.0826 | + | 16.0826i | 0.0250118 | + | 0.0250118i | 0.719502 | − | 0.694490i | \(-0.244370\pi\) |
−0.694490 | + | 0.719502i | \(0.744370\pi\) | |||||||
\(644\) | 16.3032 | − | 22.4395i | 0.0253156 | − | 0.0348439i | ||||
\(645\) | −317.756 | − | 98.0062i | −0.492645 | − | 0.151948i | ||||
\(646\) | 108.720 | − | 78.9895i | 0.168297 | − | 0.122275i | ||||
\(647\) | −79.1197 | + | 499.542i | −0.122287 | + | 0.772090i | 0.847976 | + | 0.530035i | \(0.177821\pi\) |
−0.970263 | + | 0.242054i | \(0.922179\pi\) | |||||||
\(648\) | 383.670 | − | 752.995i | 0.592083 | − | 1.16203i | ||||
\(649\) | − | 247.058i | − | 0.380675i | ||||||
\(650\) | 105.442 | − | 360.982i | 0.162218 | − | 0.555357i | ||||
\(651\) | −1918.14 | −2.94646 | ||||||||
\(652\) | 111.558 | + | 56.8419i | 0.171102 | + | 0.0871808i | ||||
\(653\) | 1110.46 | + | 175.880i | 1.70055 | + | 0.269341i | 0.929873 | − | 0.367881i | \(-0.119917\pi\) |
0.770680 | + | 0.637222i | \(0.219917\pi\) | |||||||
\(654\) | 262.292 | + | 361.014i | 0.401058 | + | 0.552009i | ||||
\(655\) | 446.857 | − | 6.69633i | 0.682225 | − | 0.0102234i | ||||
\(656\) | −358.031 | − | 260.125i | −0.545779 | − | 0.396531i | ||||
\(657\) | −90.5672 | + | 90.5672i | −0.137850 | + | 0.137850i | ||||
\(658\) | 185.249 | + | 1169.62i | 0.281534 | + | 1.77754i | ||||
\(659\) | 837.920 | + | 272.257i | 1.27150 | + | 0.413136i | 0.865580 | − | 0.500771i | \(-0.166950\pi\) |
0.405923 | + | 0.913907i | \(0.366950\pi\) | |||||||
\(660\) | −8.00835 | + | 55.9791i | −0.0121339 | + | 0.0848169i | ||||
\(661\) | −406.010 | − | 1249.57i | −0.614235 | − | 1.89042i | −0.412401 | − | 0.911002i | \(-0.635310\pi\) |
−0.201834 | − | 0.979420i | \(-0.564690\pi\) | |||||||
\(662\) | 225.237 | + | 442.052i | 0.340237 | + | 0.667752i | ||||
\(663\) | −426.239 | + | 217.180i | −0.642894 | + | 0.327571i | ||||
\(664\) | 503.329 | − | 163.541i | 0.758025 | − | 0.246297i | ||||
\(665\) | −181.488 | − | 176.129i | −0.272914 | − | 0.264855i | ||||
\(666\) | −45.1558 | + | 138.975i | −0.0678015 | + | 0.208671i | ||||
\(667\) | −85.2129 | + | 13.4964i | −0.127756 | + | 0.0202345i | ||||
\(668\) | −16.0281 | − | 16.0281i | −0.0239941 | − | 0.0239941i | ||||
\(669\) | 76.3738 | − | 105.120i | 0.114161 | − | 0.157129i | ||||
\(670\) | −32.5841 | + | 11.1297i | −0.0486330 | + | 0.0166115i | ||||
\(671\) | 306.909 | − | 222.983i | 0.457391 | − | 0.332314i | ||||
\(672\) | −68.4258 | + | 432.024i | −0.101824 | + | 0.642893i | ||||
\(673\) | −533.613 | + | 1047.27i | −0.792887 | + | 1.55613i | 0.0377336 | + | 0.999288i | \(0.487986\pi\) |
−0.830620 | + | 0.556840i | \(0.812014\pi\) | |||||||
\(674\) | 1034.48i | 1.53483i | ||||||||
\(675\) | −356.595 | + | 378.636i | −0.528290 | + | 0.560942i | ||||
\(676\) | 70.3775 | 0.104109 | ||||||||
\(677\) | −1025.90 | − | 522.720i | −1.51536 | − | 0.772112i | −0.518789 | − | 0.854902i | \(-0.673617\pi\) |
−0.996567 | + | 0.0827899i | \(0.973617\pi\) | |||||||
\(678\) | −694.942 | − | 110.068i | −1.02499 | − | 0.162342i | ||||
\(679\) | −977.170 | − | 1344.96i | −1.43913 | − | 1.98079i | ||||
\(680\) | 582.312 | + | 409.886i | 0.856342 | + | 0.602773i | ||||
\(681\) | −817.042 | − | 593.616i | −1.19977 | − | 0.871683i | ||||
\(682\) | −290.699 | + | 290.699i | −0.426245 | + | 0.426245i | ||||
\(683\) | 99.8898 | + | 630.679i | 0.146252 | + | 0.923396i | 0.946260 | + | 0.323407i | \(0.104828\pi\) |
−0.800008 | + | 0.599989i | \(0.795172\pi\) | |||||||
\(684\) | 8.84724 | + | 2.87464i | 0.0129346 | + | 0.00420269i | ||||
\(685\) | 359.406 | + | 176.394i | 0.524680 | + | 0.257509i | ||||
\(686\) | −205.013 | − | 630.965i | −0.298853 | − | 0.919775i | ||||
\(687\) | 550.418 | + | 1080.26i | 0.801191 | + | 1.57243i | ||||
\(688\) | −217.404 | + | 110.773i | −0.315995 | + | 0.161007i | ||||
\(689\) | 126.881 | − | 41.2261i | 0.184152 | − | 0.0598347i | ||||
\(690\) | −48.0873 | + | 97.9789i | −0.0696918 | + | 0.141998i | ||||
\(691\) | −230.779 | + | 710.264i | −0.333978 | + | 1.02788i | 0.633245 | + | 0.773951i | \(0.281723\pi\) |
−0.967223 | + | 0.253928i | \(0.918277\pi\) | |||||||
\(692\) | −109.012 | + | 17.2658i | −0.157532 | + | 0.0249506i | ||||
\(693\) | 112.423 | + | 112.423i | 0.162227 | + | 0.162227i | ||||
\(694\) | 357.066 | − | 491.460i | 0.514505 | − | 0.708155i | ||||
\(695\) | −104.784 | + | 148.864i | −0.150769 | + | 0.214193i | ||||
\(696\) | 594.692 | − | 432.069i | 0.854443 | − | 0.620789i | ||||
\(697\) | 90.8888 | − | 573.849i | 0.130400 | − | 0.823313i | ||||
\(698\) | 414.746 | − | 813.985i | 0.594192 | − | 1.16617i | ||||
\(699\) | − | 274.189i | − | 0.392259i | ||||||
\(700\) | 85.3363 | − | 180.670i | 0.121909 | − | 0.258100i | ||||
\(701\) | 1200.51 | 1.71256 | 0.856282 | − | 0.516508i | \(-0.172768\pi\) | ||||
0.856282 | + | 0.516508i | \(0.172768\pi\) | |||||||
\(702\) | −278.849 | − | 142.081i | −0.397222 | − | 0.202394i | ||||
\(703\) | 117.792 | + | 18.6565i | 0.167557 | + | 0.0265383i | ||||
\(704\) | 194.296 | + | 267.425i | 0.275988 | + | 0.379866i | ||||
\(705\) | 319.990 | + | 936.827i | 0.453887 | + | 1.32883i | ||||
\(706\) | −258.094 | − | 187.516i | −0.365573 | − | 0.265604i | ||||
\(707\) | 924.544 | − | 924.544i | 1.30770 | − | 1.30770i | ||||
\(708\) | −20.1316 | − | 127.106i | −0.0284345 | − | 0.179528i | ||||
\(709\) | −428.385 | − | 139.191i | −0.604210 | − | 0.196320i | −0.00909262 | − | 0.999959i | \(-0.502894\pi\) |
−0.595117 | + | 0.803639i | \(0.702894\pi\) | |||||||
\(710\) | 179.976 | − | 185.452i | 0.253487 | − | 0.261199i | ||||
\(711\) | 73.3329 | + | 225.696i | 0.103141 | + | 0.317434i | ||||
\(712\) | 370.913 | + | 727.957i | 0.520945 | + | 1.02241i | ||||
\(713\) | 150.199 | − | 76.5302i | 0.210658 | − | 0.107335i | ||||
\(714\) | 1137.82 | − | 369.701i | 1.59359 | − | 0.517788i | ||||
\(715\) | 191.008 | + | 27.3255i | 0.267144 | + | 0.0382175i | ||||
\(716\) | 6.84110 | − | 21.0547i | 0.00955460 | − | 0.0294060i | ||||
\(717\) | −1350.58 | + | 213.911i | −1.88365 | + | 0.298341i | ||||
\(718\) | 175.194 | + | 175.194i | 0.244002 | + | 0.244002i | ||||
\(719\) | 571.568 | − | 786.696i | 0.794949 | − | 1.09415i | −0.198526 | − | 0.980096i | \(-0.563615\pi\) |
0.993474 | − | 0.114057i | \(-0.0363847\pi\) | |||||||
\(720\) | −2.84815 | − | 190.062i | −0.00395576 | − | 0.263975i | ||||
\(721\) | 1471.57 | − | 1069.16i | 2.04101 | − | 1.48288i | ||||
\(722\) | 96.9837 | − | 612.331i | 0.134326 | − | 0.848104i | ||||
\(723\) | −49.2361 | + | 96.6314i | −0.0680998 | + | 0.133653i | ||||
\(724\) | 15.1813i | 0.0209686i | ||||||||
\(725\) | −585.068 | + | 209.682i | −0.806991 | + | 0.289216i | ||||
\(726\) | −624.515 | −0.860214 | ||||||||
\(727\) | −247.938 | − | 126.331i | −0.341043 | − | 0.173770i | 0.275077 | − | 0.961422i | \(-0.411297\pi\) |
−0.616120 | + | 0.787652i | \(0.711297\pi\) | |||||||
\(728\) | 796.433 | + | 126.143i | 1.09400 | + | 0.173273i | ||||
\(729\) | 207.054 | + | 284.985i | 0.284024 | + | 0.390926i | ||||
\(730\) | 114.575 | − | 371.474i | 0.156952 | − | 0.508869i | ||||
\(731\) | −259.155 | − | 188.287i | −0.354522 | − | 0.257575i | ||||
\(732\) | 139.728 | − | 139.728i | 0.190886 | − | 0.190886i | ||||
\(733\) | 17.0101 | + | 107.397i | 0.0232061 | + | 0.146518i | 0.996571 | − | 0.0827448i | \(-0.0263686\pi\) |
−0.973365 | + | 0.229262i | \(0.926369\pi\) | |||||||
\(734\) | −577.937 | − | 187.783i | −0.787380 | − | 0.255835i | ||||
\(735\) | −655.632 | − | 1240.44i | −0.892016 | − | 1.68768i | ||||
\(736\) | −11.8789 | − | 36.5594i | −0.0161398 | − | 0.0496731i | ||||
\(737\) | −8.02048 | − | 15.7411i | −0.0108826 | − | 0.0213583i | ||||
\(738\) | −168.676 | + | 85.9448i | −0.228559 | + | 0.116456i | ||||
\(739\) | 1097.79 | − | 356.694i | 1.48551 | − | 0.482671i | 0.549755 | − | 0.835326i | \(-0.314721\pi\) |
0.935754 | + | 0.352654i | \(0.114721\pi\) | |||||||
\(740\) | 16.1327 | + | 92.8327i | 0.0218009 | + | 0.125450i | ||||
\(741\) | 39.3111 | − | 120.987i | 0.0530515 | − | 0.163276i | ||||
\(742\) | −329.538 | + | 52.1937i | −0.444121 | + | 0.0703419i | ||||
\(743\) | −8.69864 | − | 8.69864i | −0.0117075 | − | 0.0117075i | 0.701229 | − | 0.712936i | \(-0.252635\pi\) |
−0.712936 | + | 0.701229i | \(0.752635\pi\) | |||||||
\(744\) | −844.216 | + | 1161.96i | −1.13470 | + | 1.56178i | ||||
\(745\) | 403.544 | + | 538.280i | 0.541669 | + | 0.722524i | ||||
\(746\) | 271.091 | − | 196.959i | 0.363393 | − | 0.264020i | ||||
\(747\) | 29.0130 | − | 183.181i | 0.0388393 | − | 0.245222i | ||||
\(748\) | −24.7314 | + | 48.5380i | −0.0330633 | + | 0.0648904i | ||||
\(749\) | 565.530i | 0.755047i | ||||||||
\(750\) | −209.115 | + | 757.926i | −0.278820 | + | 1.01057i | ||||
\(751\) | −452.240 | −0.602183 | −0.301092 | − | 0.953595i | \(-0.597351\pi\) | ||||
−0.301092 | + | 0.953595i | \(0.597351\pi\) | |||||||
\(752\) | 647.237 | + | 329.784i | 0.860688 | + | 0.438542i | ||||
\(753\) | −532.527 | − | 84.3439i | −0.707207 | − | 0.112011i | ||||
\(754\) | −219.811 | − | 302.544i | −0.291527 | − | 0.401252i | ||||
\(755\) | 16.1549 | − | 12.1112i | 0.0213972 | − | 0.0160413i | ||||
\(756\) | −134.523 | − | 97.7370i | −0.177941 | − | 0.129282i | ||||
\(757\) | −706.820 | + | 706.820i | −0.933712 | + | 0.933712i | −0.997936 | − | 0.0642239i | \(-0.979543\pi\) |
0.0642239 | + | 0.997936i | \(0.479543\pi\) | |||||||
\(758\) | −69.2411 | − | 437.171i | −0.0913471 | − | 0.576743i | ||||
\(759\) | −53.2585 | − | 17.3047i | −0.0701693 | − | 0.0227994i | ||||
\(760\) | −186.571 | + | 32.4228i | −0.245488 | + | 0.0426615i | ||||
\(761\) | 449.482 | + | 1383.36i | 0.590646 | + | 1.81782i | 0.575303 | + | 0.817941i | \(0.304884\pi\) |
0.0153439 | + | 0.999882i | \(0.495116\pi\) | |||||||
\(762\) | 11.7053 | + | 22.9729i | 0.0153613 | + | 0.0301482i | ||||
\(763\) | 720.814 | − | 367.273i | 0.944710 | − | 0.481354i | ||||
\(764\) | −73.6625 | + | 23.9344i | −0.0964169 | + | 0.0313278i | ||||
\(765\) | 220.629 | − | 116.612i | 0.288403 | − | 0.152435i | ||||
\(766\) | −362.827 | + | 1116.67i | −0.473665 | + | 1.45779i | ||||
\(767\) | −433.702 | + | 68.6917i | −0.565453 | + | 0.0895590i | ||||
\(768\) | 318.816 | + | 318.816i | 0.415125 | + | 0.415125i | ||||
\(769\) | −181.101 | + | 249.264i | −0.235502 | + | 0.324141i | −0.910368 | − | 0.413800i | \(-0.864201\pi\) |
0.674866 | + | 0.737940i | \(0.264201\pi\) | |||||||
\(770\) | −461.119 | − | 142.224i | −0.598856 | − | 0.184707i | ||||
\(771\) | −197.507 | + | 143.497i | −0.256170 | + | 0.186118i | ||||
\(772\) | 31.4581 | − | 198.619i | 0.0407489 | − | 0.257278i | ||||
\(773\) | −1.75392 | + | 3.44225i | −0.00226897 | + | 0.00445311i | −0.892138 | − | 0.451763i | \(-0.850795\pi\) |
0.889869 | + | 0.456216i | \(0.150795\pi\) | |||||||
\(774\) | 104.375i | 0.134852i | ||||||||
\(775\) | 960.608 | − | 742.899i | 1.23949 | − | 0.958580i | ||||
\(776\) | −1244.82 | −1.60415 | ||||||||
\(777\) | 946.008 | + | 482.015i | 1.21751 | + | 0.620354i | ||||
\(778\) | −1317.90 | − | 208.735i | −1.69396 | − | 0.268297i | ||||
\(779\) | 90.8150 | + | 124.996i | 0.116579 | + | 0.160457i | ||||
\(780\) | 100.496 | − | 1.50597i | 0.128841 | − | 0.00193074i | ||||
\(781\) | 107.270 | + | 77.9361i | 0.137349 | + | 0.0997902i | ||||
\(782\) | −74.3461 | + | 74.3461i | −0.0950717 | + | 0.0950717i | ||||
\(783\) | 80.9101 | + | 510.846i | 0.103333 | + | 0.652422i | ||||
\(784\) | −979.131 | − | 318.139i | −1.24889 | − | 0.405789i | ||||
\(785\) | 110.590 | − | 773.037i | 0.140879 | − | 0.984760i | ||||
\(786\) | −173.731 | − | 534.689i | −0.221032 | − | 0.680266i | ||||
\(787\) | 60.1800 | + | 118.110i | 0.0764676 | + | 0.150076i | 0.926075 | − | 0.377340i | \(-0.123161\pi\) |
−0.849607 | + | 0.527416i | \(0.823161\pi\) | |||||||
\(788\) | −73.7433 | + | 37.5741i | −0.0935829 | + | 0.0476829i | ||||
\(789\) | −1548.99 | + | 503.296i | −1.96323 | + | 0.637891i | ||||
\(790\) | −516.878 | − | 501.616i | −0.654276 | − | 0.634956i | ||||
\(791\) | −394.174 | + | 1213.14i | −0.498323 | + | 1.53368i | ||||
\(792\) | 117.583 | − | 18.6233i | 0.148464 | − | 0.0235143i | ||||
\(793\) | −476.771 | − | 476.771i | −0.601225 | − | 0.601225i | ||||
\(794\) | −200.448 | + | 275.894i | −0.252454 | + | 0.347473i | ||||
\(795\) | −263.949 | + | 90.1567i | −0.332012 | + | 0.113405i | ||||
\(796\) | −172.614 | + | 125.412i | −0.216852 | + | 0.157552i | ||||
\(797\) | 149.295 | − | 942.614i | 0.187322 | − | 1.18270i | −0.697435 | − | 0.716648i | \(-0.745675\pi\) |
0.884756 | − | 0.466054i | \(-0.154325\pi\) | |||||||
\(798\) | −144.436 | + | 283.472i | −0.180998 | + | 0.355228i | ||||
\(799\) | 953.669i | 1.19358i | ||||||||
\(800\) | −133.056 | − | 242.859i | −0.166320 | − | 0.303574i | ||||
\(801\) | 286.312 | 0.357443 | ||||||||
\(802\) | −142.984 | − | 72.8539i | −0.178284 | − | 0.0908402i | ||||
\(803\) | 197.000 | + | 31.2018i | 0.245331 | + | 0.0388565i | ||||
\(804\) | −5.40903 | − | 7.44490i | −0.00672765 | − | 0.00925982i | ||||
\(805\) | 161.802 | + | 113.892i | 0.200997 | + | 0.141480i | ||||
\(806\) | 591.139 | + | 429.487i | 0.733423 | + | 0.532863i | ||||
\(807\) | 912.465 | − | 912.465i | 1.13069 | − | 1.13069i | ||||
\(808\) | −153.154 | − | 966.978i | −0.189547 | − | 1.19676i | ||||
\(809\) | 1278.62 | + | 415.449i | 1.58049 | + | 0.513534i | 0.962184 | − | 0.272400i | \(-0.0878175\pi\) |
0.618310 | + | 0.785934i | \(0.287818\pi\) | |||||||
\(810\) | 806.931 | + | 396.036i | 0.996211 | + | 0.488933i | ||||
\(811\) | 168.798 | + | 519.506i | 0.208135 | + | 0.640574i | 0.999570 | + | 0.0293206i | \(0.00933438\pi\) |
−0.791435 | + | 0.611253i | \(0.790666\pi\) | |||||||
\(812\) | −90.2047 | − | 177.037i | −0.111090 | − | 0.218025i | ||||
\(813\) | 1029.32 | − | 524.463i | 1.26607 | − | 0.645095i | ||||
\(814\) | 216.421 | − | 70.3193i | 0.265873 | − | 0.0863873i | ||||
\(815\) | −393.526 | + | 801.817i | −0.482854 | + | 0.983825i | ||||
\(816\) | 226.782 | − | 697.963i | 0.277919 | − | 0.855347i | ||||
\(817\) | 84.1363 | − | 13.3259i | 0.102982 | − | 0.0163108i | ||||
\(818\) | 232.805 | + | 232.805i | 0.284603 | + | 0.284603i | ||||
\(819\) | 166.097 | − | 228.613i | 0.202805 | − | 0.279137i | ||||
\(820\) | −70.2623 | + | 99.8195i | −0.0856857 | + | 0.121731i | ||||
\(821\) | 124.274 | − | 90.2905i | 0.151369 | − | 0.109976i | −0.509523 | − | 0.860457i | \(-0.670178\pi\) |
0.660892 | + | 0.750481i | \(0.270178\pi\) | |||||||
\(822\) | 78.7880 | − | 497.448i | 0.0958491 | − | 0.605168i | ||||
\(823\) | −112.681 | + | 221.149i | −0.136915 | + | 0.268711i | −0.949276 | − | 0.314444i | \(-0.898182\pi\) |
0.812361 | + | 0.583155i | \(0.198182\pi\) | |||||||
\(824\) | − | 1362.00i | − | 1.65291i | ||||||
\(825\) | −400.153 | − | 51.1396i | −0.485033 | − | 0.0619873i | ||||
\(826\) | 1098.17 | 1.32950 | ||||||||
\(827\) | 8.58569 | + | 4.37463i | 0.0103817 | + | 0.00528976i | 0.459174 | − | 0.888347i | \(-0.348146\pi\) |
−0.448792 | + | 0.893636i | \(0.648146\pi\) | |||||||
\(828\) | −7.18859 | − | 1.13856i | −0.00868187 | − | 0.00137507i | ||||
\(829\) | −360.443 | − | 496.107i | −0.434792 | − | 0.598440i | 0.534253 | − | 0.845325i | \(-0.320593\pi\) |
−0.969045 | + | 0.246885i | \(0.920593\pi\) | |||||||
\(830\) | 181.949 | + | 532.688i | 0.219216 | + | 0.641793i | ||||
\(831\) | 803.400 | + | 583.704i | 0.966787 | + | 0.702412i | ||||
\(832\) | 415.435 | − | 415.435i | 0.499320 | − | 0.499320i | ||||
\(833\) | −211.437 | − | 1334.96i | −0.253826 | − | 1.60260i | ||||
\(834\) | 217.802 | + | 70.7682i | 0.261153 | + | 0.0848539i | ||||
\(835\) | 112.614 | − | 116.041i | 0.134867 | − | 0.138971i | ||||
\(836\) | −4.47656 | − | 13.7774i | −0.00535474 | − | 0.0164802i | ||||
\(837\) | −458.794 | − | 900.434i | −0.548141 | − | 1.07579i | ||||
\(838\) | −312.279 | + | 159.114i | −0.372647 | + | 0.189873i | ||||
\(839\) | −1114.35 | + | 362.075i | −1.32819 | + | 0.431555i | −0.885300 | − | 0.465021i | \(-0.846047\pi\) |
−0.442890 | + | 0.896576i | \(0.646047\pi\) | |||||||
\(840\) | −1668.87 | − | 238.748i | −1.98675 | − | 0.284224i | ||||
\(841\) | 68.9002 | − | 212.053i | 0.0819265 | − | 0.252144i | ||||
\(842\) | 1463.02 | − | 231.719i | 1.73755 | − | 0.275201i | ||||
\(843\) | −491.835 | − | 491.835i | −0.583435 | − | 0.583435i | ||||
\(844\) | −133.523 | + | 183.779i | −0.158203 | + | 0.217747i | ||||
\(845\) | 7.52266 | + | 501.999i | 0.00890256 | + | 0.594082i | ||||
\(846\) | 251.391 | − | 182.647i | 0.297153 | − | 0.215894i | ||||
\(847\) | −177.114 | + | 1118.25i | −0.209107 | + | 1.32025i | ||||
\(848\) | −92.9160 | + | 182.358i | −0.109571 | + | 0.215045i | ||||
\(849\) | − | 563.213i | − | 0.663384i | ||||||
\(850\) | −426.637 | + | 625.826i | −0.501925 | + | 0.736266i | ||||
\(851\) | −93.3081 | −0.109645 | ||||||||
\(852\) | 61.5387 | + | 31.3556i | 0.0722286 | + | 0.0368023i | ||||
\(853\) | −488.140 | − | 77.3137i | −0.572262 | − | 0.0906374i | −0.136405 | − | 0.990653i | \(-0.543555\pi\) |
−0.435857 | + | 0.900016i | \(0.643555\pi\) | |||||||
\(854\) | 991.150 | + | 1364.20i | 1.16060 | + | 1.59742i | ||||
\(855\) | −19.5590 | + | 63.4142i | −0.0228760 | + | 0.0741687i | ||||
\(856\) | 342.584 | + | 248.902i | 0.400216 | + | 0.290774i | ||||
\(857\) | −127.840 | + | 127.840i | −0.149171 | + | 0.149171i | −0.777748 | − | 0.628577i | \(-0.783638\pi\) |
0.628577 | + | 0.777748i | \(0.283638\pi\) | |||||||
\(858\) | −37.9718 | − | 239.744i | −0.0442562 | − | 0.279422i | ||||
\(859\) | −242.766 | − | 78.8793i | −0.282614 | − | 0.0918269i | 0.164280 | − | 0.986414i | \(-0.447470\pi\) |
−0.446894 | + | 0.894587i | \(0.647470\pi\) | |||||||
\(860\) | 31.4496 | + | 59.5021i | 0.0365693 | + | 0.0691884i | ||||
\(861\) | 425.048 | + | 1308.16i | 0.493668 | + | 1.51935i | ||||
\(862\) | 203.625 | + | 399.636i | 0.236224 | + | 0.463615i | ||||
\(863\) | −725.309 | + | 369.564i | −0.840451 | + | 0.428231i | −0.820553 | − | 0.571571i | \(-0.806334\pi\) |
−0.0198983 | + | 0.999802i | \(0.506334\pi\) | |||||||
\(864\) | −219.172 | + | 71.2132i | −0.253671 | + | 0.0824226i | ||||
\(865\) | −134.808 | − | 775.732i | −0.155848 | − | 0.896800i | ||||
\(866\) | 433.170 | − | 1333.16i | 0.500196 | − | 1.53944i | ||||
\(867\) | −36.8646 | + | 5.83878i | −0.0425198 | + | 0.00673447i | ||||
\(868\) | 274.516 | + | 274.516i | 0.316263 | + | 0.316263i | ||||
\(869\) | 217.218 | − | 298.975i | 0.249964 | − | 0.344045i | ||||
\(870\) | 468.987 | + | 625.574i | 0.539065 | + | 0.719051i | ||||
\(871\) | −25.4029 | + | 18.4563i | −0.0291652 | + | 0.0211898i | ||||
\(872\) | 94.7609 | − | 598.297i | 0.108671 | − | 0.686120i | ||||
\(873\) | −198.046 | + | 388.688i | −0.226857 | + | 0.445232i | ||||
\(874\) | − | 27.9598i | − | 0.0319906i | ||||||
\(875\) | 1297.83 | + | 589.388i | 1.48323 | + | 0.673587i | ||||
\(876\) | 103.895 | 0.118602 | ||||||||
\(877\) | 1141.28 | + | 581.509i | 1.30134 | + | 0.663067i | 0.960821 | − | 0.277170i | \(-0.0893967\pi\) |
0.340521 | + | 0.940237i | \(0.389397\pi\) | |||||||
\(878\) | 32.0033 | + | 5.06882i | 0.0364502 | + | 0.00577315i | ||||
\(879\) | −775.599 | − | 1067.52i | −0.882365 | − | 1.21447i | ||||
\(880\) | −236.842 | + | 177.558i | −0.269139 | + | 0.201771i | ||||
\(881\) | −1038.70 | − | 754.660i | −1.17900 | − | 0.856595i | −0.186943 | − | 0.982371i | \(-0.559858\pi\) |
−0.992059 | + | 0.125776i | \(0.959858\pi\) | |||||||
\(882\) | −311.408 | + | 311.408i | −0.353070 | + | 0.353070i | ||||
\(883\) | −101.079 | − | 638.190i | −0.114473 | − | 0.722752i | −0.976440 | − | 0.215788i | \(-0.930768\pi\) |
0.861968 | − | 0.506963i | \(-0.169232\pi\) | |||||||
\(884\) | 92.0832 | + | 29.9197i | 0.104167 | + | 0.0338458i | ||||
\(885\) | 904.491 | − | 157.184i | 1.02202 | − | 0.177610i | ||||
\(886\) | −146.700 | − | 451.497i | −0.165576 | − | 0.509590i | ||||
\(887\) | 8.37810 | + | 16.4430i | 0.00944544 | + | 0.0185377i | 0.895681 | − | 0.444697i | \(-0.146689\pi\) |
−0.886236 | + | 0.463235i | \(0.846689\pi\) | |||||||
\(888\) | 708.352 | − | 360.923i | 0.797694 | − | 0.406445i | ||||
\(889\) | 44.4547 | − | 14.4442i | 0.0500053 | − | 0.0162477i | ||||
\(890\) | −768.277 | + | 406.070i | −0.863233 | + | 0.456259i | ||||
\(891\) | −142.518 | + | 438.624i | −0.159953 | + | 0.492283i | ||||
\(892\) | −25.9745 | + | 4.11396i | −0.0291194 | + | 0.00461207i | ||||
\(893\) | −179.326 | − | 179.326i | −0.200813 | − | 0.200813i | ||||
\(894\) | 497.451 | − | 684.683i | 0.556433 | − | 0.765865i | ||||
\(895\) | 150.914 | + | 46.5467i | 0.168619 | + | 0.0520075i | ||||
\(896\) | −779.949 | + | 566.666i | −0.870478 | + | 0.632440i | ||||
\(897\) | −15.5700 | + | 98.3050i | −0.0173578 | + | 0.109593i | ||||
\(898\) | 219.626 | − | 431.041i | 0.244573 | − | 0.480001i | ||||
\(899\) | − | 1207.57i | − | 1.34324i | ||||||
\(900\) | −52.4070 | + | 1.57103i | −0.0582300 | + | 0.00174559i | ||||
\(901\) | −268.695 | −0.298218 | ||||||||
\(902\) | 262.673 | + | 133.838i | 0.291211 | + | 0.148380i | ||||
\(903\) | 749.033 | + | 118.635i | 0.829493 | + | 0.131379i | ||||
\(904\) | 561.407 | + | 772.711i | 0.621026 | + | 0.854769i | ||||
\(905\) | −108.287 | + | 1.62273i | −0.119655 | + | 0.00179307i | ||||
\(906\) | −20.5488 | − | 14.9295i | −0.0226807 | − | 0.0164785i | ||||
\(907\) | −17.1888 | + | 17.1888i | −0.0189512 | + | 0.0189512i | −0.716519 | − | 0.697568i | \(-0.754266\pi\) |
0.697568 | + | 0.716519i | \(0.254266\pi\) | |||||||
\(908\) | 31.9758 | + | 201.887i | 0.0352156 | + | 0.222343i | ||||
\(909\) | −326.300 | − | 106.021i | −0.358966 | − | 0.116635i | ||||
\(910\) | −121.461 | + | 849.024i | −0.133474 | + | 0.932993i | ||||
\(911\) | −541.240 | − | 1665.77i | −0.594116 | − | 1.82850i | −0.559077 | − | 0.829116i | \(-0.688844\pi\) |
−0.0350398 | − | 0.999386i | \(-0.511156\pi\) | |||||||
\(912\) | 88.6000 | + | 173.887i | 0.0971492 | + | 0.190666i | ||||
\(913\) | −257.337 | + | 131.120i | −0.281858 | + | 0.143614i | ||||
\(914\) | −1156.29 | + | 375.700i | −1.26508 | + | 0.411051i | ||||
\(915\) | 1011.61 | + | 981.741i | 1.10559 | + | 1.07294i | ||||
\(916\) | 75.8281 | − | 233.375i | 0.0827818 | − | 0.254776i | ||||
\(917\) | −1006.68 | + | 159.442i | −1.09780 | + | 0.173874i | ||||
\(918\) | 445.700 | + | 445.700i | 0.485512 | + | 0.485512i | ||||
\(919\) | −374.893 | + | 515.995i | −0.407935 | + | 0.561475i | −0.962713 | − | 0.270524i | \(-0.912803\pi\) |
0.554778 | + | 0.831998i | \(0.312803\pi\) | |||||||
\(920\) | 140.206 | − | 47.8898i | 0.152397 | − | 0.0520541i | ||||
\(921\) | 61.5281 | − | 44.7028i | 0.0668058 | − | 0.0485372i | ||||
\(922\) | 13.3034 | − | 83.9941i | 0.0144288 | − | 0.0910999i | ||||
\(923\) | 106.989 | − | 209.978i | 0.115915 | − | 0.227495i | ||||
\(924\) | − | 128.967i | − | 0.139575i | ||||||
\(925\) | −660.447 | + | 124.997i | −0.713997 | + | 0.135131i | ||||
\(926\) | −629.218 | −0.679501 | ||||||||
\(927\) | −425.277 | − | 216.689i | −0.458767 | − | 0.233753i | ||||
\(928\) | −271.982 | − | 43.0777i | −0.293084 | − | 0.0464199i | ||||
\(929\) | 394.294 | + | 542.700i | 0.424429 | + | 0.584176i | 0.966663 | − | 0.256051i | \(-0.0824215\pi\) |
−0.542234 | + | 0.840227i | \(0.682422\pi\) | |||||||
\(930\) | −1249.21 | − | 879.313i | −1.34324 | − | 0.945498i | ||||
\(931\) | 290.782 | + | 211.266i | 0.312333 | + | 0.226923i | ||||
\(932\) | −39.2408 | + | 39.2408i | −0.0421038 | + | 0.0421038i | ||||
\(933\) | 234.155 | + | 1478.40i | 0.250970 | + | 1.58456i | ||||
\(934\) | 186.226 | + | 60.5086i | 0.199386 | + | 0.0647844i | ||||
\(935\) | −348.863 | − | 171.220i | −0.373116 | − | 0.183122i | ||||
\(936\) | −65.3853 | − | 201.235i | −0.0698561 | − | 0.214995i | ||||
\(937\) | 58.1616 | + | 114.149i | 0.0620721 | + | 0.121823i | 0.919958 | − | 0.392017i | \(-0.128222\pi\) |
−0.857886 | + | 0.513840i | \(0.828222\pi\) | |||||||
\(938\) | 69.9685 | − | 35.6507i | 0.0745933 | − | 0.0380072i | ||||
\(939\) | 309.793 | − | 100.658i | 0.329918 | − | 0.107197i | ||||
\(940\) | 88.2790 | − | 179.870i | 0.0939138 | − | 0.191351i | ||||
\(941\) | −46.4634 | + | 143.000i | −0.0493766 | + | 0.151966i | −0.972705 | − | 0.232046i | \(-0.925458\pi\) |
0.923328 | + | 0.384012i | \(0.125458\pi\) | |||||||
\(942\) | −970.280 | + | 153.677i | −1.03002 | + | 0.163139i | ||||
\(943\) | −85.4764 | − | 85.4764i | −0.0906431 | − | 0.0906431i | ||||
\(944\) | 395.954 | − | 544.984i | 0.419443 | − | 0.577313i | ||||
\(945\) | 682.774 | − | 969.996i | 0.722512 | − | 1.02645i | ||||
\(946\) | 131.497 | − | 95.5383i | 0.139003 | − | 0.100992i | ||||
\(947\) | −238.481 | + | 1505.71i | −0.251828 | + | 1.58998i | 0.460191 | + | 0.887820i | \(0.347781\pi\) |
−0.712019 | + | 0.702160i | \(0.752219\pi\) | |||||||
\(948\) | 87.3921 | − | 171.517i | 0.0921858 | − | 0.180925i | ||||
\(949\) | − | 354.503i | − | 0.373554i | ||||||
\(950\) | −37.4553 | − | 197.903i | −0.0394266 | − | 0.208319i | ||||
\(951\) | 668.951 | 0.703419 | ||||||||
\(952\) | −1447.04 | − | 737.302i | −1.52000 | − | 0.774477i | ||||
\(953\) | −608.849 | − | 96.4322i | −0.638876 | − | 0.101188i | −0.171411 | − | 0.985200i | \(-0.554833\pi\) |
−0.467465 | + | 0.884012i | \(0.654833\pi\) | |||||||
\(954\) | 51.4604 | + | 70.8291i | 0.0539417 | + | 0.0742443i | ||||
\(955\) | −178.597 | − | 522.873i | −0.187012 | − | 0.547511i | ||||
\(956\) | 223.903 | + | 162.675i | 0.234208 | + | 0.170162i | ||||
\(957\) | −283.658 | + | 283.658i | −0.296403 | + | 0.296403i | ||||
\(958\) | 103.585 | + | 654.012i | 0.108127 | + | 0.682685i | ||||
\(959\) | −868.381 | − | 282.154i | −0.905506 | − | 0.294217i | ||||
\(960\) | −855.440 | + | 881.468i | −0.891083 | + | 0.918196i | ||||
\(961\) | 432.150 | + | 1330.02i | 0.449688 | + | 1.38400i | ||||
\(962\) | −183.616 | − | 360.368i | −0.190870 | − | 0.374603i | ||||
\(963\) | 132.222 | − | 67.3707i | 0.137303 | − | 0.0699592i | ||||
\(964\) | 20.8759 | − | 6.78300i | 0.0216555 | − | 0.00703630i | ||||
\(965\) | 1420.10 | + | 203.159i | 1.47161 | + | 0.210527i | ||||
\(966\) | 76.9190 | − | 236.732i | 0.0796263 | − | 0.245065i | ||||
\(967\) | −136.090 | + | 21.5545i | −0.140734 | + | 0.0222901i | −0.226404 | − | 0.974033i | \(-0.572697\pi\) |
0.0856700 | + | 0.996324i | \(0.472697\pi\) | |||||||
\(968\) | 599.458 | + | 599.458i | 0.619275 | + | 0.619275i | ||||
\(969\) | −150.599 | + | 207.281i | −0.155416 | + | 0.213912i | ||||
\(970\) | −19.8388 | − | 1323.87i | −0.0204524 | − | 1.36482i | ||||
\(971\) | 596.601 | − | 433.456i | 0.614419 | − | 0.446401i | −0.236549 | − | 0.971620i | \(-0.576016\pi\) |
0.850968 | + | 0.525218i | \(0.176016\pi\) | |||||||
\(972\) | −17.0507 | + | 107.654i | −0.0175419 | + | 0.110755i | ||||
\(973\) | 188.486 | − | 369.924i | 0.193716 | − | 0.380189i | ||||
\(974\) | 687.587i | 0.705942i | ||||||||
\(975\) | 21.4841 | + | 716.674i | 0.0220350 | + | 0.735050i | ||||
\(976\) | 1034.38 | 1.05981 | ||||||||
\(977\) | 443.170 | + | 225.806i | 0.453603 | + | 0.231122i | 0.665838 | − | 0.746096i | \(-0.268074\pi\) |
−0.212235 | + | 0.977219i | \(0.568074\pi\) | |||||||
\(978\) | 1109.78 | + | 175.772i | 1.13475 | + | 0.179726i | ||||
\(979\) | −262.071 | − | 360.710i | −0.267693 | − | 0.368447i | ||||
\(980\) | −83.6956 | + | 271.358i | −0.0854037 | + | 0.276896i | ||||
\(981\) | −171.739 | − | 124.776i | −0.175065 | − | 0.127192i | ||||
\(982\) | 336.216 | − | 336.216i | 0.342379 | − | 0.342379i | ||||
\(983\) | 117.421 | + | 741.369i | 0.119452 | + | 0.754190i | 0.972594 | + | 0.232511i | \(0.0746942\pi\) |
−0.853142 | + | 0.521679i | \(0.825306\pi\) | |||||||
\(984\) | 979.527 | + | 318.268i | 0.995455 | + | 0.323443i | ||||
\(985\) | −275.897 | − | 521.992i | −0.280098 | − | 0.529941i | ||||
\(986\) | 232.746 | + | 716.319i | 0.236051 | + | 0.726490i | ||||
\(987\) | −1025.00 | − | 2011.67i | −1.03850 | − | 2.03817i | ||||
\(988\) | −22.9412 | + | 11.6891i | −0.0232198 | + | 0.0118311i | ||||
\(989\) | −63.3859 | + | 20.5953i | −0.0640909 | + | 0.0208244i | ||||
\(990\) | 21.6800 | + | 124.754i | 0.0218990 | + | 0.126014i | ||||
\(991\) | −40.9055 | + | 125.894i | −0.0412770 | + | 0.127038i | −0.969572 | − | 0.244808i | \(-0.921275\pi\) |
0.928294 | + | 0.371846i | \(0.121275\pi\) | |||||||
\(992\) | 531.423 | − | 84.1692i | 0.535709 | − | 0.0848480i | ||||
\(993\) | −668.850 | − | 668.850i | −0.673565 | − | 0.673565i | ||||
\(994\) | −346.424 | + | 476.811i | −0.348515 | + | 0.479689i | ||||
\(995\) | −913.006 | − | 1217.84i | −0.917594 | − | 1.22396i | ||||
\(996\) | −121.710 | + | 88.4274i | −0.122199 | + | 0.0887825i | ||||
\(997\) | −78.2443 | + | 494.015i | −0.0784797 | + | 0.495501i | 0.916871 | + | 0.399184i | \(0.130706\pi\) |
−0.995351 | + | 0.0963177i | \(0.969294\pi\) | |||||||
\(998\) | −62.0230 | + | 121.727i | −0.0621473 | + | 0.121971i | ||||
\(999\) | 559.376i | 0.559936i |
(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 | 25.3.f.a.8.2 | ✓ | 32 | |
3.2 | odd | 2 | 225.3.r.a.208.3 | 32 | |||
4.3 | odd | 2 | 400.3.bg.c.33.1 | 32 | |||
5.2 | odd | 4 | 125.3.f.a.107.3 | 32 | |||
5.3 | odd | 4 | 125.3.f.b.107.2 | 32 | |||
5.4 | even | 2 | 125.3.f.c.18.3 | 32 | |||
25.3 | odd | 20 | 125.3.f.c.7.3 | 32 | |||
25.4 | even | 10 | 125.3.f.b.118.2 | 32 | |||
25.21 | even | 5 | 125.3.f.a.118.3 | 32 | |||
25.22 | odd | 20 | inner | 25.3.f.a.22.2 | yes | 32 | |
75.47 | even | 20 | 225.3.r.a.172.3 | 32 | |||
100.47 | even | 20 | 400.3.bg.c.97.1 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.3.f.a.8.2 | ✓ | 32 | 1.1 | even | 1 | trivial | |
25.3.f.a.22.2 | yes | 32 | 25.22 | odd | 20 | inner | |
125.3.f.a.107.3 | 32 | 5.2 | odd | 4 | |||
125.3.f.a.118.3 | 32 | 25.21 | even | 5 | |||
125.3.f.b.107.2 | 32 | 5.3 | odd | 4 | |||
125.3.f.b.118.2 | 32 | 25.4 | even | 10 | |||
125.3.f.c.7.3 | 32 | 25.3 | odd | 20 | |||
125.3.f.c.18.3 | 32 | 5.4 | even | 2 | |||
225.3.r.a.172.3 | 32 | 75.47 | even | 20 | |||
225.3.r.a.208.3 | 32 | 3.2 | odd | 2 | |||
400.3.bg.c.33.1 | 32 | 4.3 | odd | 2 | |||
400.3.bg.c.97.1 | 32 | 100.47 | even | 20 |