Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(19,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 15]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.i (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 109.9 | ||
Character | \(\chi\) | \(=\) | 230.109 |
Dual form | 230.3.i.a.19.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28641 | − | 0.587486i | −0.643207 | − | 0.293743i | ||||
\(3\) | 0.576935 | − | 1.96486i | 0.192312 | − | 0.654953i | −0.805723 | − | 0.592292i | \(-0.798223\pi\) |
0.998035 | − | 0.0626608i | \(-0.0199586\pi\) | |||||||
\(4\) | 1.30972 | + | 1.51150i | 0.327430 | + | 0.377875i | ||||
\(5\) | 1.83597 | + | 4.65072i | 0.367194 | + | 0.930144i | ||||
\(6\) | −1.89650 | + | 2.18868i | −0.316084 | + | 0.364780i | ||||
\(7\) | −0.457318 | + | 3.18071i | −0.0653311 | + | 0.454388i | 0.930729 | + | 0.365709i | \(0.119173\pi\) |
−0.996060 | + | 0.0886786i | \(0.971736\pi\) | |||||||
\(8\) | −0.796860 | − | 2.71386i | −0.0996075 | − | 0.339232i | ||||
\(9\) | 4.04347 | + | 2.59858i | 0.449274 | + | 0.288731i | ||||
\(10\) | 0.370417 | − | 7.06136i | 0.0370417 | − | 0.706136i | ||||
\(11\) | −18.0924 | + | 8.26254i | −1.64477 | + | 0.751140i | −0.999913 | − | 0.0131666i | \(-0.995809\pi\) |
−0.644853 | + | 0.764306i | \(0.723082\pi\) | |||||||
\(12\) | 3.72551 | − | 1.70138i | 0.310459 | − | 0.141782i | ||||
\(13\) | −14.1697 | + | 2.03730i | −1.08998 | + | 0.156716i | −0.663791 | − | 0.747918i | \(-0.731053\pi\) |
−0.426190 | + | 0.904634i | \(0.640144\pi\) | |||||||
\(14\) | 2.45692 | − | 3.82305i | 0.175495 | − | 0.273075i | ||||
\(15\) | 10.1972 | − | 0.924256i | 0.679816 | − | 0.0616171i | ||||
\(16\) | −0.569259 | + | 3.95929i | −0.0355787 | + | 0.247455i | ||||
\(17\) | −8.56409 | + | 9.88349i | −0.503770 | + | 0.581382i | −0.949493 | − | 0.313789i | \(-0.898401\pi\) |
0.445722 | + | 0.895171i | \(0.352947\pi\) | |||||||
\(18\) | −3.67494 | − | 5.71832i | −0.204164 | − | 0.317685i | ||||
\(19\) | −4.81195 | + | 4.16958i | −0.253261 | + | 0.219452i | −0.772233 | − | 0.635339i | \(-0.780860\pi\) |
0.518972 | + | 0.854791i | \(0.326315\pi\) | |||||||
\(20\) | −4.62496 | + | 8.86622i | −0.231248 | + | 0.443311i | ||||
\(21\) | 5.98581 | + | 2.73363i | 0.285039 | + | 0.130173i | ||||
\(22\) | 28.1285 | 1.27857 | ||||||||
\(23\) | 22.0451 | + | 6.55838i | 0.958484 | + | 0.285147i | ||||
\(24\) | −5.79208 | −0.241337 | ||||||||
\(25\) | −18.2584 | + | 17.0772i | −0.730338 | + | 0.683086i | ||||
\(26\) | 19.4250 | + | 5.70371i | 0.747117 | + | 0.219373i | ||||
\(27\) | 21.3673 | − | 18.5149i | 0.791383 | − | 0.685737i | ||||
\(28\) | −5.40660 | + | 3.47461i | −0.193093 | + | 0.124093i | ||||
\(29\) | −15.7498 | + | 18.1762i | −0.543096 | + | 0.626766i | −0.959260 | − | 0.282523i | \(-0.908829\pi\) |
0.416165 | + | 0.909289i | \(0.363374\pi\) | |||||||
\(30\) | −13.6609 | − | 4.80176i | −0.455362 | − | 0.160059i | ||||
\(31\) | 50.2447 | − | 14.7532i | 1.62080 | − | 0.475909i | 0.659565 | − | 0.751647i | \(-0.270740\pi\) |
0.961233 | + | 0.275738i | \(0.0889222\pi\) | |||||||
\(32\) | 3.05833 | − | 4.75885i | 0.0955727 | − | 0.148714i | ||||
\(33\) | 5.79657 | + | 40.3160i | 0.175654 | + | 1.22170i | ||||
\(34\) | 16.8234 | − | 7.68298i | 0.494805 | − | 0.225970i | ||||
\(35\) | −15.6322 | + | 3.71283i | −0.446635 | + | 0.106081i | ||||
\(36\) | 1.36807 | + | 9.51511i | 0.0380018 | + | 0.264309i | ||||
\(37\) | 23.8013 | + | 15.2962i | 0.643279 | + | 0.413410i | 0.821205 | − | 0.570634i | \(-0.193302\pi\) |
−0.177926 | + | 0.984044i | \(0.556939\pi\) | |||||||
\(38\) | 8.63973 | − | 2.53685i | 0.227361 | − | 0.0667593i | ||||
\(39\) | −4.17201 | + | 29.0169i | −0.106975 | + | 0.744024i | ||||
\(40\) | 11.1584 | − | 8.68853i | 0.278960 | − | 0.217213i | ||||
\(41\) | 30.5899 | − | 19.6590i | 0.746096 | − | 0.479487i | −0.111530 | − | 0.993761i | \(-0.535575\pi\) |
0.857626 | + | 0.514274i | \(0.171939\pi\) | |||||||
\(42\) | −6.09426 | − | 7.03315i | −0.145102 | − | 0.167456i | ||||
\(43\) | −77.6196 | − | 22.7912i | −1.80511 | − | 0.530027i | −0.806946 | − | 0.590626i | \(-0.798881\pi\) |
−0.998162 | + | 0.0605984i | \(0.980699\pi\) | |||||||
\(44\) | −36.1849 | − | 16.5251i | −0.822383 | − | 0.375570i | ||||
\(45\) | −4.66159 | + | 23.5759i | −0.103591 | + | 0.523910i | ||||
\(46\) | −24.5062 | − | 21.3880i | −0.532744 | − | 0.464956i | ||||
\(47\) | 61.7989i | 1.31487i | 0.753511 | + | 0.657435i | \(0.228359\pi\) | ||||
−0.753511 | + | 0.657435i | \(0.771641\pi\) | |||||||
\(48\) | 7.45101 | + | 3.40276i | 0.155229 | + | 0.0708909i | ||||
\(49\) | 37.1074 | + | 10.8957i | 0.757293 | + | 0.222361i | ||||
\(50\) | 33.5205 | − | 11.2417i | 0.670410 | − | 0.224835i | ||||
\(51\) | 14.4787 | + | 22.5294i | 0.283897 | + | 0.441752i | ||||
\(52\) | −21.6378 | − | 18.7493i | −0.416112 | − | 0.360563i | ||||
\(53\) | −10.8805 | + | 75.6756i | −0.205293 | + | 1.42784i | 0.582965 | + | 0.812497i | \(0.301892\pi\) |
−0.788258 | + | 0.615345i | \(0.789017\pi\) | |||||||
\(54\) | −38.3645 | + | 11.2648i | −0.710453 | + | 0.208608i | ||||
\(55\) | −71.6439 | − | 68.9731i | −1.30262 | − | 1.25406i | ||||
\(56\) | 8.99642 | − | 1.29349i | 0.160650 | − | 0.0230980i | ||||
\(57\) | 5.41645 | + | 11.8604i | 0.0950255 | + | 0.208077i | ||||
\(58\) | 30.9390 | − | 14.1294i | 0.533431 | − | 0.243610i | ||||
\(59\) | −7.33465 | − | 51.0136i | −0.124316 | − | 0.864637i | −0.952578 | − | 0.304295i | \(-0.901579\pi\) |
0.828262 | − | 0.560342i | \(-0.189330\pi\) | |||||||
\(60\) | 14.7526 | + | 14.2026i | 0.245876 | + | 0.236710i | ||||
\(61\) | −14.8579 | − | 50.6014i | −0.243572 | − | 0.829531i | −0.987001 | − | 0.160716i | \(-0.948620\pi\) |
0.743428 | − | 0.668816i | \(-0.233198\pi\) | |||||||
\(62\) | −73.3028 | − | 10.5394i | −1.18230 | − | 0.169990i | ||||
\(63\) | −10.1145 | + | 11.6727i | −0.160547 | + | 0.185281i | ||||
\(64\) | −6.73003 | + | 4.32513i | −0.105157 | + | 0.0675801i | ||||
\(65\) | −35.4901 | − | 62.1591i | −0.546002 | − | 0.956294i | ||||
\(66\) | 16.2283 | − | 55.2685i | 0.245883 | − | 0.837401i | ||||
\(67\) | 28.2599 | − | 61.8806i | 0.421790 | − | 0.923591i | −0.572798 | − | 0.819696i | \(-0.694142\pi\) |
0.994588 | − | 0.103895i | \(-0.0331305\pi\) | |||||||
\(68\) | −26.1555 | −0.384639 | ||||||||
\(69\) | 25.6049 | − | 39.5318i | 0.371085 | − | 0.572925i | ||||
\(70\) | 22.2908 | + | 4.40747i | 0.318439 | + | 0.0629639i | ||||
\(71\) | 43.9109 | − | 96.1515i | 0.618464 | − | 1.35425i | −0.298168 | − | 0.954513i | \(-0.596376\pi\) |
0.916632 | − | 0.399733i | \(-0.130897\pi\) | |||||||
\(72\) | 3.83009 | − | 13.0441i | 0.0531957 | − | 0.181168i | ||||
\(73\) | −16.7443 | + | 14.5090i | −0.229373 | + | 0.198753i | −0.761963 | − | 0.647620i | \(-0.775764\pi\) |
0.532590 | + | 0.846374i | \(0.321219\pi\) | |||||||
\(74\) | −21.6321 | − | 33.6601i | −0.292325 | − | 0.454867i | ||||
\(75\) | 23.0203 | + | 45.7277i | 0.306937 | + | 0.609702i | ||||
\(76\) | −12.6046 | − | 1.81227i | −0.165850 | − | 0.0238457i | ||||
\(77\) | −18.0068 | − | 61.3255i | −0.233854 | − | 0.796434i | ||||
\(78\) | 22.4140 | − | 34.8768i | 0.287358 | − | 0.447138i | ||||
\(79\) | 15.8399 | − | 2.27744i | 0.200505 | − | 0.0288283i | −0.0413303 | − | 0.999146i | \(-0.513160\pi\) |
0.241836 | + | 0.970317i | \(0.422251\pi\) | |||||||
\(80\) | −19.4587 | + | 4.62166i | −0.243234 | + | 0.0577707i | ||||
\(81\) | −6.08146 | − | 13.3165i | −0.0750798 | − | 0.164402i | ||||
\(82\) | −50.9007 | + | 7.31841i | −0.620740 | + | 0.0892489i | ||||
\(83\) | 31.8536 | + | 20.4711i | 0.383779 | + | 0.246639i | 0.718278 | − | 0.695757i | \(-0.244931\pi\) |
−0.334499 | + | 0.942396i | \(0.608567\pi\) | |||||||
\(84\) | 3.70787 | + | 12.6278i | 0.0441413 | + | 0.150331i | ||||
\(85\) | −61.6888 | − | 21.6834i | −0.725750 | − | 0.255099i | ||||
\(86\) | 86.4615 | + | 74.9193i | 1.00537 | + | 0.871155i | ||||
\(87\) | 26.6271 | + | 41.4326i | 0.306059 | + | 0.476237i | ||||
\(88\) | 36.8405 | + | 42.5162i | 0.418642 | + | 0.483138i | ||||
\(89\) | −41.3510 | + | 140.829i | −0.464618 | + | 1.58234i | 0.310530 | + | 0.950564i | \(0.399493\pi\) |
−0.775148 | + | 0.631780i | \(0.782325\pi\) | |||||||
\(90\) | 19.8473 | − | 27.5898i | 0.220525 | − | 0.306553i | ||||
\(91\) | − | 46.0016i | − | 0.505512i | ||||||
\(92\) | 18.9600 | + | 41.9108i | 0.206087 | + | 0.455553i | ||||
\(93\) | − | 107.235i | − | 1.15307i | ||||||
\(94\) | 36.3060 | − | 79.4990i | 0.386234 | − | 0.845734i | ||||
\(95\) | −28.2261 | − | 14.7238i | −0.297117 | − | 0.154988i | ||||
\(96\) | −7.58601 | − | 8.75472i | −0.0790209 | − | 0.0911950i | ||||
\(97\) | 52.8735 | − | 33.9798i | 0.545088 | − | 0.350307i | −0.238938 | − | 0.971035i | \(-0.576799\pi\) |
0.784026 | + | 0.620728i | \(0.213163\pi\) | |||||||
\(98\) | −41.3343 | − | 35.8164i | −0.421779 | − | 0.365474i | ||||
\(99\) | −94.6270 | − | 13.6053i | −0.955828 | − | 0.137427i | ||||
\(100\) | −49.7256 | − | 5.23129i | −0.497256 | − | 0.0523129i | ||||
\(101\) | 22.0902 | + | 14.1965i | 0.218715 | + | 0.140560i | 0.645411 | − | 0.763836i | \(-0.276686\pi\) |
−0.426696 | + | 0.904395i | \(0.640323\pi\) | |||||||
\(102\) | −5.38998 | − | 37.4881i | −0.0528429 | − | 0.367531i | ||||
\(103\) | −37.9925 | − | 83.1919i | −0.368859 | − | 0.807689i | −0.999500 | − | 0.0316140i | \(-0.989935\pi\) |
0.630641 | − | 0.776075i | \(-0.282792\pi\) | |||||||
\(104\) | 16.8202 | + | 36.8312i | 0.161733 | + | 0.354146i | ||||
\(105\) | −1.72359 | + | 32.8572i | −0.0164151 | + | 0.312926i | ||||
\(106\) | 58.4552 | − | 90.9580i | 0.551464 | − | 0.858095i | ||||
\(107\) | 95.6935 | − | 28.0981i | 0.894331 | − | 0.262599i | 0.197900 | − | 0.980222i | \(-0.436588\pi\) |
0.696432 | + | 0.717623i | \(0.254770\pi\) | |||||||
\(108\) | 55.9705 | + | 8.04734i | 0.518245 | + | 0.0745124i | ||||
\(109\) | −30.6686 | − | 26.5745i | −0.281363 | − | 0.243803i | 0.502733 | − | 0.864442i | \(-0.332328\pi\) |
−0.784096 | + | 0.620639i | \(0.786873\pi\) | |||||||
\(110\) | 51.6430 | + | 130.818i | 0.469482 | + | 1.18925i | ||||
\(111\) | 43.7866 | − | 37.9413i | 0.394474 | − | 0.341814i | ||||
\(112\) | −12.3330 | − | 3.62130i | −0.110116 | − | 0.0323331i | ||||
\(113\) | −86.8569 | + | 190.190i | −0.768645 | + | 1.68310i | −0.0390323 | + | 0.999238i | \(0.512428\pi\) |
−0.729613 | + | 0.683860i | \(0.760300\pi\) | |||||||
\(114\) | − | 18.4394i | − | 0.161749i | ||||||
\(115\) | 9.97298 | + | 114.567i | 0.0867215 | + | 0.996233i | ||||
\(116\) | −48.1012 | −0.414665 | ||||||||
\(117\) | −62.5890 | − | 28.5834i | −0.534948 | − | 0.244303i | ||||
\(118\) | −20.5344 | + | 69.9336i | −0.174020 | + | 0.592657i | ||||
\(119\) | −27.5200 | − | 31.7598i | −0.231261 | − | 0.266889i | ||||
\(120\) | −10.6341 | − | 26.9374i | −0.0886173 | − | 0.224478i | ||||
\(121\) | 179.828 | − | 207.533i | 1.48619 | − | 1.71515i | ||||
\(122\) | −10.6142 | + | 73.8232i | −0.0870014 | + | 0.605108i | ||||
\(123\) | −20.9787 | − | 71.4468i | −0.170558 | − | 0.580869i | ||||
\(124\) | 88.1061 | + | 56.6223i | 0.710533 | + | 0.456632i | ||||
\(125\) | −112.943 | − | 53.5618i | −0.903544 | − | 0.428494i | ||||
\(126\) | 19.8690 | − | 9.07385i | 0.157690 | − | 0.0720147i | ||||
\(127\) | −4.47671 | + | 2.04445i | −0.0352497 | + | 0.0160980i | −0.432962 | − | 0.901412i | \(-0.642532\pi\) |
0.397712 | + | 0.917510i | \(0.369804\pi\) | |||||||
\(128\) | 11.1986 | − | 1.61011i | 0.0874887 | − | 0.0125790i | ||||
\(129\) | −89.5629 | + | 139.363i | −0.694286 | + | 1.08033i | ||||
\(130\) | 9.13741 | + | 100.812i | 0.0702878 | + | 0.775479i | ||||
\(131\) | −31.2996 | + | 217.694i | −0.238929 | + | 1.66178i | 0.418462 | + | 0.908234i | \(0.362569\pi\) |
−0.657390 | + | 0.753550i | \(0.728340\pi\) | |||||||
\(132\) | −53.3457 | + | 61.5643i | −0.404134 | + | 0.466396i | ||||
\(133\) | −11.0616 | − | 17.2123i | −0.0831703 | − | 0.129415i | ||||
\(134\) | −72.7079 | + | 63.0018i | −0.542596 | + | 0.470162i | ||||
\(135\) | 125.337 | + | 65.3808i | 0.928425 | + | 0.484302i | ||||
\(136\) | 33.6468 | + | 15.3660i | 0.247403 | + | 0.112985i | ||||
\(137\) | −71.0681 | −0.518745 | −0.259373 | − | 0.965777i | \(-0.583516\pi\) | ||||
−0.259373 | + | 0.965777i | \(0.583516\pi\) | |||||||
\(138\) | −56.1628 | + | 35.8118i | −0.406977 | + | 0.259506i | ||||
\(139\) | 74.5914 | 0.536629 | 0.268314 | − | 0.963331i | \(-0.413533\pi\) | ||||
0.268314 | + | 0.963331i | \(0.413533\pi\) | |||||||
\(140\) | −26.0858 | − | 18.7653i | −0.186327 | − | 0.134038i | ||||
\(141\) | 121.426 | + | 35.6539i | 0.861179 | + | 0.252865i | ||||
\(142\) | −112.975 | + | 97.8936i | −0.795600 | + | 0.689391i | ||||
\(143\) | 239.532 | − | 153.938i | 1.67505 | − | 1.07649i | ||||
\(144\) | −12.5903 | + | 14.5300i | −0.0874326 | + | 0.100903i | ||||
\(145\) | −113.449 | − | 39.8769i | −0.782404 | − | 0.275013i | ||||
\(146\) | 30.0639 | − | 8.82755i | 0.205917 | − | 0.0604627i | ||||
\(147\) | 42.8170 | − | 66.6246i | 0.291272 | − | 0.453229i | ||||
\(148\) | 8.05294 | + | 56.0094i | 0.0544117 | + | 0.378442i | ||||
\(149\) | −140.140 | + | 63.9999i | −0.940538 | + | 0.429529i | −0.825861 | − | 0.563874i | \(-0.809311\pi\) |
−0.114677 | + | 0.993403i | \(0.536583\pi\) | |||||||
\(150\) | −2.74928 | − | 72.3488i | −0.0183285 | − | 0.482325i | ||||
\(151\) | −4.39611 | − | 30.5756i | −0.0291133 | − | 0.202487i | 0.970073 | − | 0.242812i | \(-0.0780699\pi\) |
−0.999187 | + | 0.0403247i | \(0.987161\pi\) | |||||||
\(152\) | 15.1501 | + | 9.73637i | 0.0996716 | + | 0.0640551i | ||||
\(153\) | −60.3116 | + | 17.7091i | −0.394194 | + | 0.115746i | ||||
\(154\) | −12.8636 | + | 89.4686i | −0.0835302 | + | 0.580965i | ||||
\(155\) | 160.861 | + | 206.588i | 1.03781 | + | 1.33283i | ||||
\(156\) | −49.3232 | + | 31.6981i | −0.316175 | + | 0.203193i | ||||
\(157\) | −6.92666 | − | 7.99379i | −0.0441188 | − | 0.0509159i | 0.733261 | − | 0.679947i | \(-0.237997\pi\) |
−0.777380 | + | 0.629031i | \(0.783452\pi\) | |||||||
\(158\) | −21.7147 | − | 6.37600i | −0.137435 | − | 0.0403544i | ||||
\(159\) | 142.415 | + | 65.0386i | 0.895689 | + | 0.409048i | ||||
\(160\) | 27.7471 | + | 5.48633i | 0.173419 | + | 0.0342896i | ||||
\(161\) | −30.9419 | + | 67.1200i | −0.192186 | + | 0.416894i | ||||
\(162\) | 20.7034i | 0.127799i | ||||||||
\(163\) | 206.375 | + | 94.2485i | 1.26611 | + | 0.578212i | 0.931361 | − | 0.364097i | \(-0.118622\pi\) |
0.334746 | + | 0.942308i | \(0.391349\pi\) | |||||||
\(164\) | 69.7788 | + | 20.4889i | 0.425480 | + | 0.124932i | ||||
\(165\) | −176.856 | + | 100.977i | −1.07186 | + | 0.611983i | ||||
\(166\) | −28.9505 | − | 45.0478i | −0.174400 | − | 0.271372i | ||||
\(167\) | 49.0354 | + | 42.4895i | 0.293625 | + | 0.254428i | 0.789198 | − | 0.614139i | \(-0.210496\pi\) |
−0.495573 | + | 0.868566i | \(0.665042\pi\) | |||||||
\(168\) | 2.64882 | − | 18.4229i | 0.0157668 | − | 0.109660i | ||||
\(169\) | 34.4768 | − | 10.1233i | 0.204005 | − | 0.0599012i | ||||
\(170\) | 66.6186 | + | 64.1351i | 0.391874 | + | 0.377266i | ||||
\(171\) | −30.2919 | + | 4.35532i | −0.177146 | + | 0.0254697i | ||||
\(172\) | −67.2113 | − | 147.172i | −0.390763 | − | 0.855652i | ||||
\(173\) | 184.256 | − | 84.1467i | 1.06506 | − | 0.486397i | 0.195745 | − | 0.980655i | \(-0.437287\pi\) |
0.869315 | + | 0.494258i | \(0.164560\pi\) | |||||||
\(174\) | −9.91243 | − | 68.9425i | −0.0569680 | − | 0.396221i | ||||
\(175\) | −45.9677 | − | 65.8846i | −0.262672 | − | 0.376483i | ||||
\(176\) | −22.4145 | − | 76.3366i | −0.127355 | − | 0.433731i | ||||
\(177\) | −104.466 | − | 15.0200i | −0.590204 | − | 0.0848585i | ||||
\(178\) | 135.929 | − | 156.871i | 0.763647 | − | 0.881296i | ||||
\(179\) | 29.5857 | − | 19.0136i | 0.165283 | − | 0.106221i | −0.455384 | − | 0.890295i | \(-0.650498\pi\) |
0.620667 | + | 0.784074i | \(0.286862\pi\) | |||||||
\(180\) | −41.7404 | + | 23.8319i | −0.231891 | + | 0.132400i | ||||
\(181\) | −32.4570 | + | 110.538i | −0.179320 | + | 0.610709i | 0.819947 | + | 0.572439i | \(0.194003\pi\) |
−0.999267 | + | 0.0382699i | \(0.987815\pi\) | |||||||
\(182\) | −27.0253 | + | 59.1771i | −0.148491 | + | 0.325149i | ||||
\(183\) | −107.997 | −0.590146 | ||||||||
\(184\) | 0.231606 | − | 65.0534i | 0.00125873 | − | 0.353551i | ||||
\(185\) | −27.4398 | + | 138.777i | −0.148323 | + | 0.750144i | ||||
\(186\) | −62.9993 | + | 137.949i | −0.338706 | + | 0.741662i | ||||
\(187\) | 73.2826 | − | 249.578i | 0.391885 | − | 1.33464i | ||||
\(188\) | −93.4090 | + | 80.9394i | −0.496857 | + | 0.430529i | ||||
\(189\) | 49.1189 | + | 76.4306i | 0.259889 | + | 0.404394i | ||||
\(190\) | 27.6605 | + | 35.5234i | 0.145581 | + | 0.186965i | ||||
\(191\) | −85.7066 | − | 12.3227i | −0.448726 | − | 0.0645170i | −0.0857522 | − | 0.996316i | \(-0.527329\pi\) |
−0.362973 | + | 0.931799i | \(0.618238\pi\) | |||||||
\(192\) | 4.61548 | + | 15.7189i | 0.0240389 | + | 0.0818691i | ||||
\(193\) | 116.628 | − | 181.477i | 0.604291 | − | 0.940295i | −0.395471 | − | 0.918478i | \(-0.629419\pi\) |
0.999762 | − | 0.0218163i | \(-0.00694491\pi\) | |||||||
\(194\) | −87.9799 | + | 12.6496i | −0.453504 | + | 0.0652041i | ||||
\(195\) | −142.609 | + | 33.8713i | −0.731330 | + | 0.173699i | ||||
\(196\) | 32.1315 | + | 70.3581i | 0.163936 | + | 0.358970i | ||||
\(197\) | 174.893 | − | 25.1457i | 0.887779 | − | 0.127643i | 0.316688 | − | 0.948530i | \(-0.397429\pi\) |
0.571091 | + | 0.820886i | \(0.306520\pi\) | |||||||
\(198\) | 113.737 | + | 73.0940i | 0.574427 | + | 0.369162i | ||||
\(199\) | −36.5317 | − | 124.416i | −0.183576 | − | 0.625204i | −0.998930 | − | 0.0462410i | \(-0.985276\pi\) |
0.815354 | − | 0.578963i | \(-0.196542\pi\) | |||||||
\(200\) | 60.8944 | + | 35.9427i | 0.304472 | + | 0.179713i | ||||
\(201\) | −105.282 | − | 91.2278i | −0.523793 | − | 0.453870i | ||||
\(202\) | −20.0769 | − | 31.2403i | −0.0993907 | − | 0.154655i | ||||
\(203\) | −50.6107 | − | 58.4078i | −0.249314 | − | 0.287723i | ||||
\(204\) | −15.0900 | + | 51.3918i | −0.0739705 | + | 0.251921i | ||||
\(205\) | 147.591 | + | 106.172i | 0.719954 | + | 0.517913i | ||||
\(206\) | 129.339i | 0.627861i | ||||||||
\(207\) | 72.0963 | + | 83.8045i | 0.348291 | + | 0.404853i | ||||
\(208\) | − | 57.2618i | − | 0.275297i | ||||||
\(209\) | 52.6086 | − | 115.197i | 0.251716 | − | 0.551181i | ||||
\(210\) | 21.5204 | − | 41.2554i | 0.102478 | − | 0.196454i | ||||
\(211\) | 164.719 | + | 190.096i | 0.780660 | + | 0.900929i | 0.997157 | − | 0.0753541i | \(-0.0240087\pi\) |
−0.216497 | + | 0.976283i | \(0.569463\pi\) | |||||||
\(212\) | −128.634 | + | 82.6681i | −0.606765 | + | 0.389944i | ||||
\(213\) | −163.590 | − | 141.752i | −0.768030 | − | 0.665502i | ||||
\(214\) | −139.609 | − | 20.0727i | −0.652377 | − | 0.0937976i | ||||
\(215\) | −36.5118 | − | 402.831i | −0.169822 | − | 1.87363i | ||||
\(216\) | −67.2735 | − | 43.2341i | −0.311452 | − | 0.200158i | ||||
\(217\) | 23.9479 | + | 166.561i | 0.110359 | + | 0.767562i | ||||
\(218\) | 23.8404 | + | 52.2031i | 0.109360 | + | 0.239464i | ||||
\(219\) | 18.8478 | + | 41.2708i | 0.0860628 | + | 0.188451i | ||||
\(220\) | 10.4193 | − | 198.625i | 0.0473603 | − | 0.902842i | ||||
\(221\) | 101.215 | − | 157.494i | 0.457988 | − | 0.712643i | ||||
\(222\) | −78.6177 | + | 23.0842i | −0.354134 | + | 0.103983i | ||||
\(223\) | −270.454 | − | 38.8854i | −1.21280 | − | 0.174374i | −0.493917 | − | 0.869509i | \(-0.664435\pi\) |
−0.718879 | + | 0.695135i | \(0.755345\pi\) | |||||||
\(224\) | 13.7379 | + | 11.9040i | 0.0613300 | + | 0.0531427i | ||||
\(225\) | −118.204 | + | 21.6049i | −0.525350 | + | 0.0960220i | ||||
\(226\) | 223.468 | − | 193.636i | 0.988796 | − | 0.856797i | ||||
\(227\) | 251.363 | + | 73.8069i | 1.10733 | + | 0.325140i | 0.783759 | − | 0.621065i | \(-0.213300\pi\) |
0.323567 | + | 0.946205i | \(0.395118\pi\) | |||||||
\(228\) | −10.8329 | + | 23.7208i | −0.0475127 | + | 0.104038i | ||||
\(229\) | − | 368.522i | − | 1.60927i | −0.593771 | − | 0.804634i | \(-0.702361\pi\) | ||
0.593771 | − | 0.804634i | \(-0.297639\pi\) | |||||||
\(230\) | 54.4769 | − | 153.239i | 0.236856 | − | 0.666258i | ||||
\(231\) | −130.885 | −0.566600 | ||||||||
\(232\) | 61.8780 | + | 28.2587i | 0.266715 | + | 0.121805i | ||||
\(233\) | −33.1351 | + | 112.848i | −0.142211 | + | 0.484325i | −0.999536 | − | 0.0304495i | \(-0.990306\pi\) |
0.857326 | + | 0.514774i | \(0.172124\pi\) | |||||||
\(234\) | 63.7230 | + | 73.5402i | 0.272320 | + | 0.314274i | ||||
\(235\) | −287.410 | + | 113.461i | −1.22302 | + | 0.482812i | ||||
\(236\) | 67.5006 | − | 77.8999i | 0.286020 | − | 0.330084i | ||||
\(237\) | 4.66376 | − | 32.4371i | 0.0196783 | − | 0.136866i | ||||
\(238\) | 16.7437 | + | 57.0239i | 0.0703518 | + | 0.239596i | ||||
\(239\) | −193.998 | − | 124.675i | −0.811707 | − | 0.521652i | 0.0677100 | − | 0.997705i | \(-0.478431\pi\) |
−0.879417 | + | 0.476053i | \(0.842067\pi\) | |||||||
\(240\) | −2.14548 | + | 40.9000i | −0.00893951 | + | 0.170416i | ||||
\(241\) | 48.3705 | − | 22.0901i | 0.200708 | − | 0.0916601i | −0.312525 | − | 0.949909i | \(-0.601175\pi\) |
0.513233 | + | 0.858249i | \(0.328448\pi\) | |||||||
\(242\) | −353.257 | + | 161.327i | −1.45974 | + | 0.666640i | ||||
\(243\) | 222.194 | − | 31.9466i | 0.914377 | − | 0.131468i | ||||
\(244\) | 57.0243 | − | 88.7315i | 0.233706 | − | 0.363654i | ||||
\(245\) | 17.4551 | + | 192.580i | 0.0712451 | + | 0.786042i | ||||
\(246\) | −14.9867 | + | 104.235i | −0.0609216 | + | 0.423719i | ||||
\(247\) | 59.6894 | − | 68.8853i | 0.241658 | − | 0.278888i | ||||
\(248\) | −80.0761 | − | 124.601i | −0.322887 | − | 0.502423i | ||||
\(249\) | 58.6002 | − | 50.7774i | 0.235342 | − | 0.203925i | ||||
\(250\) | 113.825 | + | 135.255i | 0.455299 | + | 0.541020i | ||||
\(251\) | −180.001 | − | 82.2038i | −0.717136 | − | 0.327505i | 0.0232102 | − | 0.999731i | \(-0.492611\pi\) |
−0.740347 | + | 0.672225i | \(0.765339\pi\) | |||||||
\(252\) | −30.8905 | −0.122581 | ||||||||
\(253\) | −453.039 | + | 63.4917i | −1.79067 | + | 0.250955i | ||||
\(254\) | 6.95999 | 0.0274015 | ||||||||
\(255\) | −78.1953 | + | 108.700i | −0.306648 | + | 0.426274i | ||||
\(256\) | −15.3519 | − | 4.50772i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | 166.414 | − | 144.199i | 0.647527 | − | 0.561085i | −0.267962 | − | 0.963430i | \(-0.586350\pi\) |
0.915488 | + | 0.402345i | \(0.131805\pi\) | |||||||
\(258\) | 197.088 | − | 126.661i | 0.763909 | − | 0.490934i | ||||
\(259\) | −59.5375 | + | 68.7100i | −0.229875 | + | 0.265289i | ||||
\(260\) | 47.4713 | − | 135.054i | 0.182582 | − | 0.519440i | ||||
\(261\) | −110.916 | + | 32.5679i | −0.424965 | + | 0.124781i | ||||
\(262\) | 168.156 | − | 261.656i | 0.641818 | − | 0.998688i | ||||
\(263\) | −17.4622 | − | 121.452i | −0.0663962 | − | 0.461796i | −0.995712 | − | 0.0925094i | \(-0.970511\pi\) |
0.929316 | − | 0.369287i | \(-0.120398\pi\) | |||||||
\(264\) | 104.793 | − | 47.8573i | 0.396942 | − | 0.181278i | ||||
\(265\) | −371.923 | + | 88.3358i | −1.40348 | + | 0.333343i | ||||
\(266\) | 4.11790 | + | 28.6406i | 0.0154808 | + | 0.107672i | ||||
\(267\) | 252.851 | + | 162.498i | 0.947009 | + | 0.608606i | ||||
\(268\) | 130.545 | − | 38.3315i | 0.487109 | − | 0.143028i | ||||
\(269\) | 17.2537 | − | 120.002i | 0.0641402 | − | 0.446105i | −0.932292 | − | 0.361707i | \(-0.882194\pi\) |
0.996432 | − | 0.0843982i | \(-0.0268968\pi\) | |||||||
\(270\) | −122.826 | − | 157.741i | −0.454909 | − | 0.584225i | ||||
\(271\) | 82.8606 | − | 53.2513i | 0.305759 | − | 0.196499i | −0.378759 | − | 0.925495i | \(-0.623649\pi\) |
0.684518 | + | 0.728996i | \(0.260013\pi\) | |||||||
\(272\) | −34.2564 | − | 39.5340i | −0.125943 | − | 0.145345i | ||||
\(273\) | −90.3866 | − | 26.5399i | −0.331087 | − | 0.0972158i | ||||
\(274\) | 91.4230 | + | 41.7515i | 0.333660 | + | 0.152378i | ||||
\(275\) | 189.239 | − | 459.828i | 0.688141 | − | 1.67210i | ||||
\(276\) | 93.2876 | − | 13.0739i | 0.337998 | − | 0.0473692i | ||||
\(277\) | 454.614i | 1.64121i | 0.571498 | + | 0.820603i | \(0.306362\pi\) | ||||
−0.571498 | + | 0.820603i | \(0.693638\pi\) | |||||||
\(278\) | −95.9554 | − | 43.8214i | −0.345163 | − | 0.157631i | ||||
\(279\) | 241.500 | + | 70.9109i | 0.865592 | + | 0.254161i | ||||
\(280\) | 22.5328 | + | 39.4650i | 0.0804743 | + | 0.140947i | ||||
\(281\) | 51.5114 | + | 80.1534i | 0.183315 | + | 0.285243i | 0.920733 | − | 0.390193i | \(-0.127592\pi\) |
−0.737418 | + | 0.675436i | \(0.763955\pi\) | |||||||
\(282\) | −135.258 | − | 117.202i | −0.479639 | − | 0.415609i | ||||
\(283\) | −67.0421 | + | 466.288i | −0.236898 | + | 1.64766i | 0.430230 | + | 0.902719i | \(0.358432\pi\) |
−0.667128 | + | 0.744943i | \(0.732477\pi\) | |||||||
\(284\) | 202.844 | − | 59.5604i | 0.714239 | − | 0.209720i | ||||
\(285\) | −45.2149 | + | 46.9657i | −0.158649 | + | 0.164792i | ||||
\(286\) | −398.573 | + | 57.3062i | −1.39361 | + | 0.200371i | ||||
\(287\) | 48.5402 | + | 106.288i | 0.169130 | + | 0.370342i | ||||
\(288\) | 24.7325 | − | 11.2949i | 0.0858766 | − | 0.0392186i | ||||
\(289\) | 16.7893 | + | 116.772i | 0.0580945 | + | 0.404056i | ||||
\(290\) | 122.515 | + | 117.948i | 0.422465 | + | 0.406716i | ||||
\(291\) | −36.2608 | − | 123.493i | −0.124608 | − | 0.424375i | ||||
\(292\) | −43.8606 | − | 6.30621i | −0.150208 | − | 0.0215966i | ||||
\(293\) | −60.8347 | + | 70.2070i | −0.207627 | + | 0.239614i | −0.850006 | − | 0.526773i | \(-0.823402\pi\) |
0.642379 | + | 0.766387i | \(0.277947\pi\) | |||||||
\(294\) | −94.2214 | + | 60.5524i | −0.320481 | + | 0.205961i | ||||
\(295\) | 223.784 | − | 127.771i | 0.758589 | − | 0.433121i | ||||
\(296\) | 22.5453 | − | 76.7822i | 0.0761666 | − | 0.259399i | ||||
\(297\) | −233.607 | + | 511.528i | −0.786555 | + | 1.72232i | ||||
\(298\) | 217.877 | 0.731132 | ||||||||
\(299\) | −325.735 | − | 48.0179i | −1.08942 | − | 0.160595i | ||||
\(300\) | −38.9672 | + | 94.6856i | −0.129891 | + | 0.315619i | ||||
\(301\) | 107.989 | − | 236.463i | 0.358768 | − | 0.785591i | ||||
\(302\) | −12.3075 | + | 41.9155i | −0.0407533 | + | 0.138793i | ||||
\(303\) | 40.6388 | − | 35.2137i | 0.134121 | − | 0.116217i | ||||
\(304\) | −13.7693 | − | 21.4255i | −0.0452938 | − | 0.0704785i | ||||
\(305\) | 208.054 | − | 162.003i | 0.682146 | − | 0.531156i | ||||
\(306\) | 87.9896 | + | 12.6510i | 0.287548 | + | 0.0413431i | ||||
\(307\) | −6.11735 | − | 20.8338i | −0.0199262 | − | 0.0678625i | 0.948930 | − | 0.315488i | \(-0.102168\pi\) |
−0.968856 | + | 0.247625i | \(0.920350\pi\) | |||||||
\(308\) | 69.1095 | − | 107.536i | 0.224382 | − | 0.349144i | ||||
\(309\) | −185.380 | + | 26.6536i | −0.599934 | + | 0.0862575i | ||||
\(310\) | −85.5661 | − | 360.261i | −0.276020 | − | 1.16213i | ||||
\(311\) | 116.643 | + | 255.412i | 0.375056 | + | 0.821259i | 0.999202 | + | 0.0399507i | \(0.0127201\pi\) |
−0.624145 | + | 0.781308i | \(0.714553\pi\) | |||||||
\(312\) | 82.0723 | − | 11.8002i | 0.263052 | − | 0.0378212i | ||||
\(313\) | 293.941 | + | 188.904i | 0.939108 | + | 0.603528i | 0.918142 | − | 0.396252i | \(-0.129689\pi\) |
0.0209665 | + | 0.999780i | \(0.493326\pi\) | |||||||
\(314\) | 4.21431 | + | 14.3526i | 0.0134214 | + | 0.0457090i | ||||
\(315\) | −72.8565 | − | 25.6089i | −0.231290 | − | 0.0812980i | ||||
\(316\) | 24.1882 | + | 20.9592i | 0.0765450 | + | 0.0663267i | ||||
\(317\) | −276.143 | − | 429.688i | −0.871115 | − | 1.35548i | −0.933930 | − | 0.357456i | \(-0.883644\pi\) |
0.0628151 | − | 0.998025i | \(-0.479992\pi\) | |||||||
\(318\) | −144.995 | − | 167.333i | −0.455959 | − | 0.526204i | ||||
\(319\) | 134.770 | − | 458.985i | 0.422477 | − | 1.43882i | ||||
\(320\) | −32.4711 | − | 23.3587i | −0.101472 | − | 0.0729959i | ||||
\(321\) | − | 204.235i | − | 0.636246i | ||||||
\(322\) | 79.2362 | − | 68.1661i | 0.246075 | − | 0.211696i | ||||
\(323\) | − | 83.2675i | − | 0.257794i | ||||||
\(324\) | 12.1629 | − | 26.6331i | 0.0375399 | − | 0.0822009i | ||||
\(325\) | 223.926 | − | 279.177i | 0.689003 | − | 0.859006i | ||||
\(326\) | −210.115 | − | 242.485i | −0.644523 | − | 0.743820i | ||||
\(327\) | −69.9089 | + | 44.9277i | −0.213789 | + | 0.137394i | ||||
\(328\) | −77.7275 | − | 67.3512i | −0.236974 | − | 0.205339i | ||||
\(329\) | −196.565 | − | 28.2617i | −0.597461 | − | 0.0859019i | ||||
\(330\) | 286.833 | − | 25.9979i | 0.869191 | − | 0.0787816i | ||||
\(331\) | −144.875 | − | 93.1055i | −0.437689 | − | 0.281285i | 0.303183 | − | 0.952932i | \(-0.401951\pi\) |
−0.740871 | + | 0.671647i | \(0.765587\pi\) | |||||||
\(332\) | 10.7774 | + | 74.9581i | 0.0324619 | + | 0.225777i | ||||
\(333\) | 56.4915 | + | 123.699i | 0.169644 | + | 0.371469i | ||||
\(334\) | −38.1179 | − | 83.4666i | −0.114126 | − | 0.249900i | ||||
\(335\) | 339.674 | + | 17.8182i | 1.01395 | + | 0.0531887i | ||||
\(336\) | −14.2307 | + | 22.1434i | −0.0423533 | + | 0.0659030i | ||||
\(337\) | 349.281 | − | 102.558i | 1.03644 | − | 0.304327i | 0.281115 | − | 0.959674i | \(-0.409296\pi\) |
0.755328 | + | 0.655347i | \(0.227478\pi\) | |||||||
\(338\) | −50.2987 | − | 7.23186i | −0.148813 | − | 0.0213960i | ||||
\(339\) | 323.586 | + | 280.389i | 0.954531 | + | 0.827106i | ||||
\(340\) | −48.0206 | − | 121.642i | −0.141237 | − | 0.357770i | ||||
\(341\) | −787.151 | + | 682.070i | −2.30836 | + | 2.00021i | ||||
\(342\) | 41.5266 | + | 12.1933i | 0.121423 | + | 0.0356530i | ||||
\(343\) | −117.036 | + | 256.274i | −0.341214 | + | 0.747153i | ||||
\(344\) | 228.810i | 0.665145i | ||||||||
\(345\) | 230.861 | + | 46.5020i | 0.669163 | + | 0.134788i | ||||
\(346\) | −286.464 | −0.827930 | ||||||||
\(347\) | −108.273 | − | 49.4466i | −0.312026 | − | 0.142497i | 0.253247 | − | 0.967402i | \(-0.418502\pi\) |
−0.565272 | + | 0.824904i | \(0.691229\pi\) | |||||||
\(348\) | −27.7512 | + | 94.5120i | −0.0797449 | + | 0.271586i | ||||
\(349\) | 232.662 | + | 268.506i | 0.666652 | + | 0.769357i | 0.983849 | − | 0.179002i | \(-0.0572870\pi\) |
−0.317197 | + | 0.948360i | \(0.602742\pi\) | |||||||
\(350\) | 20.4272 | + | 111.760i | 0.0583635 | + | 0.319315i | ||||
\(351\) | −265.049 | + | 305.883i | −0.755126 | + | 0.871462i | ||||
\(352\) | −16.0124 | + | 111.369i | −0.0454898 | + | 0.316388i | ||||
\(353\) | 65.8732 | + | 224.343i | 0.186610 | + | 0.635534i | 0.998651 | + | 0.0519333i | \(0.0165383\pi\) |
−0.812041 | + | 0.583600i | \(0.801643\pi\) | |||||||
\(354\) | 125.563 | + | 80.6942i | 0.354697 | + | 0.227950i | ||||
\(355\) | 527.793 | + | 27.6864i | 1.48674 | + | 0.0779897i | ||||
\(356\) | −267.021 | + | 121.944i | −0.750058 | + | 0.342540i | ||||
\(357\) | −78.2808 | + | 35.7497i | −0.219274 | + | 0.100139i | ||||
\(358\) | −49.2297 | + | 7.07816i | −0.137513 | + | 0.0197714i | ||||
\(359\) | 34.8462 | − | 54.2217i | 0.0970645 | − | 0.151035i | −0.789325 | − | 0.613976i | \(-0.789569\pi\) |
0.886389 | + | 0.462940i | \(0.153206\pi\) | |||||||
\(360\) | 67.6963 | − | 6.13585i | 0.188045 | − | 0.0170440i | ||||
\(361\) | −45.6062 | + | 317.198i | −0.126333 | + | 0.878665i | ||||
\(362\) | 106.693 | − | 123.130i | 0.294732 | − | 0.340138i | ||||
\(363\) | −304.024 | − | 473.071i | −0.837532 | − | 1.30322i | ||||
\(364\) | 69.5314 | − | 60.2493i | 0.191020 | − | 0.165520i | ||||
\(365\) | −98.2192 | − | 51.2349i | −0.269094 | − | 0.140370i | ||||
\(366\) | 138.928 | + | 63.4465i | 0.379586 | + | 0.173351i | ||||
\(367\) | 482.864 | 1.31570 | 0.657852 | − | 0.753147i | \(-0.271465\pi\) | ||||
0.657852 | + | 0.753147i | \(0.271465\pi\) | |||||||
\(368\) | −38.5159 | + | 83.5495i | −0.104663 | + | 0.227037i | ||||
\(369\) | 174.775 | 0.473644 | ||||||||
\(370\) | 116.828 | − | 162.404i | 0.315752 | − | 0.438929i | ||||
\(371\) | −235.727 | − | 69.2156i | −0.635382 | − | 0.186565i | ||||
\(372\) | 162.086 | − | 140.449i | 0.435716 | − | 0.377550i | ||||
\(373\) | −64.4694 | + | 41.4320i | −0.172840 | + | 0.111078i | −0.624201 | − | 0.781264i | \(-0.714575\pi\) |
0.451360 | + | 0.892342i | \(0.350939\pi\) | |||||||
\(374\) | −240.895 | + | 278.008i | −0.644104 | + | 0.743336i | ||||
\(375\) | −170.402 | + | 191.015i | −0.454406 | + | 0.509375i | ||||
\(376\) | 167.713 | − | 49.2451i | 0.446046 | − | 0.130971i | ||||
\(377\) | 186.140 | − | 289.639i | 0.493740 | − | 0.768274i | ||||
\(378\) | −18.2854 | − | 127.178i | −0.0483742 | − | 0.336450i | ||||
\(379\) | 93.4272 | − | 42.6668i | 0.246510 | − | 0.112577i | −0.288329 | − | 0.957531i | \(-0.593100\pi\) |
0.534839 | + | 0.844954i | \(0.320372\pi\) | |||||||
\(380\) | −14.7133 | − | 61.9479i | −0.0387193 | − | 0.163021i | ||||
\(381\) | 1.43428 | + | 9.97562i | 0.00376451 | + | 0.0261827i | ||||
\(382\) | 103.015 | + | 66.2035i | 0.269672 | + | 0.173308i | ||||
\(383\) | −21.3361 | + | 6.26486i | −0.0557079 | + | 0.0163573i | −0.309468 | − | 0.950910i | \(-0.600151\pi\) |
0.253760 | + | 0.967267i | \(0.418333\pi\) | |||||||
\(384\) | 3.29720 | − | 22.9325i | 0.00858645 | − | 0.0597200i | ||||
\(385\) | 252.148 | − | 196.336i | 0.654929 | − | 0.509964i | ||||
\(386\) | −256.647 | + | 164.937i | −0.664889 | + | 0.427298i | ||||
\(387\) | −254.628 | − | 293.856i | −0.657953 | − | 0.759318i | ||||
\(388\) | 120.610 | + | 35.4143i | 0.310850 | + | 0.0912739i | ||||
\(389\) | 652.186 | + | 297.843i | 1.67657 | + | 0.765664i | 0.999559 | + | 0.0296924i | \(0.00945278\pi\) |
0.677012 | + | 0.735972i | \(0.263274\pi\) | |||||||
\(390\) | 203.354 | + | 40.2084i | 0.521420 | + | 0.103098i | ||||
\(391\) | −253.616 | + | 161.716i | −0.648635 | + | 0.413597i | ||||
\(392\) | − | 109.386i | − | 0.279047i | ||||||
\(393\) | 409.680 | + | 187.094i | 1.04244 | + | 0.476067i | ||||
\(394\) | −239.757 | − | 70.3990i | −0.608520 | − | 0.178678i | ||||
\(395\) | 39.6733 | + | 69.4858i | 0.100439 | + | 0.175913i | ||||
\(396\) | −103.371 | − | 160.848i | −0.261037 | − | 0.406181i | ||||
\(397\) | −464.244 | − | 402.270i | −1.16938 | − | 1.01327i | −0.999614 | − | 0.0277891i | \(-0.991153\pi\) |
−0.169766 | − | 0.985484i | \(-0.554301\pi\) | |||||||
\(398\) | −26.0975 | + | 181.512i | −0.0655715 | + | 0.456060i | ||||
\(399\) | −40.2015 | + | 11.8042i | −0.100756 | + | 0.0295845i | ||||
\(400\) | −57.2196 | − | 82.0117i | −0.143049 | − | 0.205029i | ||||
\(401\) | 375.774 | − | 54.0281i | 0.937091 | − | 0.134733i | 0.343185 | − | 0.939268i | \(-0.388494\pi\) |
0.593906 | + | 0.804534i | \(0.297585\pi\) | |||||||
\(402\) | 81.8418 | + | 179.209i | 0.203587 | + | 0.445793i | ||||
\(403\) | −681.899 | + | 311.413i | −1.69206 | + | 0.772736i | ||||
\(404\) | 7.47400 | + | 51.9828i | 0.0185000 | + | 0.128670i | ||||
\(405\) | 50.7662 | − | 52.7320i | 0.125349 | − | 0.130202i | ||||
\(406\) | 30.7925 | + | 104.870i | 0.0758437 | + | 0.258300i | ||||
\(407\) | −557.009 | − | 80.0858i | −1.36857 | − | 0.196771i | ||||
\(408\) | 49.6039 | − | 57.2460i | 0.121578 | − | 0.140309i | ||||
\(409\) | −394.331 | + | 253.421i | −0.964135 | + | 0.619612i | −0.925139 | − | 0.379627i | \(-0.876052\pi\) |
−0.0389955 | + | 0.999239i | \(0.512416\pi\) | |||||||
\(410\) | −127.488 | − | 223.289i | −0.310946 | − | 0.544606i | ||||
\(411\) | −41.0016 | + | 139.639i | −0.0997607 | + | 0.339754i | ||||
\(412\) | 75.9850 | − | 166.384i | 0.184429 | − | 0.403844i | ||||
\(413\) | 165.614 | 0.401002 | ||||||||
\(414\) | −43.5117 | − | 150.163i | −0.105101 | − | 0.362712i | ||||
\(415\) | −36.7231 | + | 185.727i | −0.0884893 | + | 0.447534i | ||||
\(416\) | −33.6405 | + | 73.6624i | −0.0808666 | + | 0.177073i | ||||
\(417\) | 43.0343 | − | 146.562i | 0.103200 | − | 0.351467i | ||||
\(418\) | −135.353 | + | 117.284i | −0.323811 | + | 0.280584i | ||||
\(419\) | 25.2814 | + | 39.3386i | 0.0603374 | + | 0.0938869i | 0.870111 | − | 0.492855i | \(-0.164047\pi\) |
−0.809774 | + | 0.586742i | \(0.800410\pi\) | |||||||
\(420\) | −51.9210 | + | 40.4286i | −0.123622 | + | 0.0962585i | ||||
\(421\) | −99.9189 | − | 14.3662i | −0.237337 | − | 0.0341239i | 0.0226199 | − | 0.999744i | \(-0.492799\pi\) |
−0.259957 | + | 0.965620i | \(0.583708\pi\) | |||||||
\(422\) | −100.218 | − | 341.312i | −0.237484 | − | 0.808797i | ||||
\(423\) | −160.589 | + | 249.882i | −0.379644 | + | 0.590737i | ||||
\(424\) | 214.043 | − | 30.7747i | 0.504818 | − | 0.0725819i | ||||
\(425\) | −12.4150 | − | 326.708i | −0.0292117 | − | 0.768724i | ||||
\(426\) | 127.168 | + | 278.459i | 0.298516 | + | 0.653659i | ||||
\(427\) | 167.743 | − | 24.1179i | 0.392842 | − | 0.0564821i | ||||
\(428\) | 167.802 | + | 107.840i | 0.392061 | + | 0.251962i | ||||
\(429\) | −164.272 | − | 559.458i | −0.382918 | − | 1.30410i | ||||
\(430\) | −189.688 | + | 539.658i | −0.441136 | + | 1.25502i | ||||
\(431\) | 172.177 | + | 149.192i | 0.399482 | + | 0.346153i | 0.831316 | − | 0.555800i | \(-0.187588\pi\) |
−0.431834 | + | 0.901953i | \(0.642133\pi\) | |||||||
\(432\) | 61.1422 | + | 95.1392i | 0.141533 | + | 0.220230i | ||||
\(433\) | 85.5046 | + | 98.6775i | 0.197470 | + | 0.227893i | 0.845845 | − | 0.533428i | \(-0.179097\pi\) |
−0.648375 | + | 0.761321i | \(0.724551\pi\) | |||||||
\(434\) | 67.0453 | − | 228.335i | 0.154482 | − | 0.526119i | ||||
\(435\) | −143.805 | + | 199.904i | −0.330586 | + | 0.459550i | ||||
\(436\) | − | 81.1607i | − | 0.186148i | ||||||
\(437\) | −133.426 | + | 60.3603i | −0.305322 | + | 0.138124i | ||||
\(438\) | − | 64.1642i | − | 0.146494i | ||||||
\(439\) | −177.754 | + | 389.228i | −0.404907 | + | 0.886623i | 0.591842 | + | 0.806054i | \(0.298401\pi\) |
−0.996749 | + | 0.0805691i | \(0.974326\pi\) | |||||||
\(440\) | −130.093 | + | 249.393i | −0.295666 | + | 0.566803i | ||||
\(441\) | 121.729 | + | 140.483i | 0.276029 | + | 0.318555i | ||||
\(442\) | −222.730 | + | 143.140i | −0.503915 | + | 0.323846i | ||||
\(443\) | −335.140 | − | 290.400i | −0.756524 | − | 0.655532i | 0.188670 | − | 0.982040i | \(-0.439582\pi\) |
−0.945194 | + | 0.326509i | \(0.894128\pi\) | |||||||
\(444\) | 114.697 | + | 16.4909i | 0.258326 | + | 0.0371416i | ||||
\(445\) | −730.874 | + | 66.2448i | −1.64241 | + | 0.148865i | ||||
\(446\) | 325.071 | + | 208.910i | 0.728858 | + | 0.468409i | ||||
\(447\) | 44.8990 | + | 312.279i | 0.100445 | + | 0.698611i | ||||
\(448\) | −10.6792 | − | 23.3843i | −0.0238376 | − | 0.0521970i | ||||
\(449\) | −17.1121 | − | 37.4702i | −0.0381115 | − | 0.0834525i | 0.889619 | − | 0.456704i | \(-0.150970\pi\) |
−0.927730 | + | 0.373251i | \(0.878243\pi\) | |||||||
\(450\) | 164.751 | + | 41.6501i | 0.366114 | + | 0.0925557i | ||||
\(451\) | −391.014 | + | 608.429i | −0.866992 | + | 1.34907i | ||||
\(452\) | −401.231 | + | 117.812i | −0.887678 | + | 0.260646i | ||||
\(453\) | −62.6130 | − | 9.00239i | −0.138219 | − | 0.0198728i | ||||
\(454\) | −279.997 | − | 242.618i | −0.616733 | − | 0.534402i | ||||
\(455\) | 213.941 | − | 84.4575i | 0.470199 | − | 0.185621i | ||||
\(456\) | 27.8712 | − | 24.1505i | 0.0611211 | − | 0.0529617i | ||||
\(457\) | 455.702 | + | 133.806i | 0.997159 | + | 0.292792i | 0.739290 | − | 0.673388i | \(-0.235161\pi\) |
0.257869 | + | 0.966180i | \(0.416980\pi\) | |||||||
\(458\) | −216.502 | + | 474.072i | −0.472711 | + | 1.03509i | ||||
\(459\) | 369.747i | 0.805549i | ||||||||
\(460\) | −160.106 | + | 165.125i | −0.348056 | + | 0.358967i | ||||
\(461\) | 51.5459 | 0.111813 | 0.0559066 | − | 0.998436i | \(-0.482195\pi\) | ||||
0.0559066 | + | 0.998436i | \(0.482195\pi\) | |||||||
\(462\) | 168.372 | + | 76.8928i | 0.364441 | + | 0.166435i | ||||
\(463\) | 42.9166 | − | 146.161i | 0.0926925 | − | 0.315682i | −0.900075 | − | 0.435735i | \(-0.856488\pi\) |
0.992767 | + | 0.120053i | \(0.0383066\pi\) | |||||||
\(464\) | −62.9991 | − | 72.7049i | −0.135774 | − | 0.156691i | ||||
\(465\) | 498.722 | − | 196.881i | 1.07252 | − | 0.423400i | ||||
\(466\) | 108.922 | − | 125.702i | 0.233738 | − | 0.269748i | ||||
\(467\) | 37.7941 | − | 262.864i | 0.0809295 | − | 0.562877i | −0.908502 | − | 0.417879i | \(-0.862773\pi\) |
0.989432 | − | 0.144998i | \(-0.0463175\pi\) | |||||||
\(468\) | −38.7703 | − | 132.039i | −0.0828425 | − | 0.282136i | ||||
\(469\) | 183.901 | + | 118.186i | 0.392112 | + | 0.251995i | ||||
\(470\) | 436.384 | + | 22.8914i | 0.928478 | + | 0.0487050i | ||||
\(471\) | −19.7029 | + | 8.99801i | −0.0418321 | + | 0.0191041i | ||||
\(472\) | −132.599 | + | 60.5559i | −0.280930 | + | 0.128296i | ||||
\(473\) | 1592.64 | − | 228.987i | 3.36711 | − | 0.484117i | ||||
\(474\) | −25.0559 | + | 38.9877i | −0.0528605 | + | 0.0822525i | ||||
\(475\) | 16.6541 | − | 158.304i | 0.0350613 | − | 0.333273i | ||||
\(476\) | 11.9614 | − | 83.1930i | 0.0251289 | − | 0.174775i | ||||
\(477\) | −240.644 | + | 277.718i | −0.504495 | + | 0.582218i | ||||
\(478\) | 176.317 | + | 274.354i | 0.368864 | + | 0.573963i | ||||
\(479\) | −16.1525 | + | 13.9963i | −0.0337214 | + | 0.0292198i | −0.671558 | − | 0.740952i | \(-0.734375\pi\) |
0.637837 | + | 0.770171i | \(0.279829\pi\) | |||||||
\(480\) | 26.7881 | − | 51.3538i | 0.0558086 | − | 0.106987i | ||||
\(481\) | −368.421 | − | 168.252i | −0.765949 | − | 0.349797i | ||||
\(482\) | −75.2021 | −0.156021 | ||||||||
\(483\) | 114.030 | + | 99.5204i | 0.236087 | + | 0.206046i | ||||
\(484\) | 549.211 | 1.13473 | ||||||||
\(485\) | 255.105 | + | 183.514i | 0.525989 | + | 0.378380i | ||||
\(486\) | −304.601 | − | 89.4389i | −0.626751 | − | 0.184031i | ||||
\(487\) | −295.379 | + | 255.948i | −0.606529 | + | 0.525560i | −0.903089 | − | 0.429454i | \(-0.858706\pi\) |
0.296560 | + | 0.955014i | \(0.404160\pi\) | |||||||
\(488\) | −125.485 | + | 80.6445i | −0.257142 | + | 0.165255i | ||||
\(489\) | 304.250 | − | 351.123i | 0.622189 | − | 0.718044i | ||||
\(490\) | 90.6836 | − | 257.992i | 0.185069 | − | 0.526515i | ||||
\(491\) | 715.557 | − | 210.107i | 1.45735 | − | 0.427915i | 0.545383 | − | 0.838187i | \(-0.316384\pi\) |
0.911963 | + | 0.410272i | \(0.134566\pi\) | |||||||
\(492\) | 80.5156 | − | 125.285i | 0.163650 | − | 0.254644i | ||||
\(493\) | −44.7619 | − | 311.326i | −0.0907949 | − | 0.631492i | ||||
\(494\) | −117.254 | + | 53.5483i | −0.237357 | + | 0.108397i | ||||
\(495\) | −110.458 | − | 465.063i | −0.223147 | − | 0.939521i | ||||
\(496\) | 29.8098 | + | 207.332i | 0.0601004 | + | 0.418007i | ||||
\(497\) | 285.749 | + | 183.640i | 0.574948 | + | 0.369497i | ||||
\(498\) | −105.215 | + | 30.8939i | −0.211275 | + | 0.0620360i | ||||
\(499\) | 55.5483 | − | 386.347i | 0.111319 | − | 0.774243i | −0.855320 | − | 0.518100i | \(-0.826639\pi\) |
0.966639 | − | 0.256142i | \(-0.0824515\pi\) | |||||||
\(500\) | −66.9653 | − | 240.864i | −0.133931 | − | 0.481729i | ||||
\(501\) | 111.776 | − | 71.8341i | 0.223106 | − | 0.143381i | ||||
\(502\) | 183.263 | + | 211.496i | 0.365065 | + | 0.421307i | ||||
\(503\) | 79.8119 | + | 23.4349i | 0.158672 | + | 0.0465902i | 0.360104 | − | 0.932912i | \(-0.382741\pi\) |
−0.201432 | + | 0.979503i | \(0.564559\pi\) | |||||||
\(504\) | 39.7379 | + | 18.1477i | 0.0788451 | + | 0.0360074i | ||||
\(505\) | −25.4671 | + | 128.800i | −0.0504300 | + | 0.255049i | ||||
\(506\) | 620.096 | + | 184.477i | 1.22549 | + | 0.364579i | ||||
\(507\) | − | 73.5825i | − | 0.145133i | ||||||
\(508\) | −8.95342 | − | 4.08889i | −0.0176248 | − | 0.00804900i | ||||
\(509\) | 14.3333 | + | 4.20864i | 0.0281597 | + | 0.00826845i | 0.295782 | − | 0.955255i | \(-0.404420\pi\) |
−0.267622 | + | 0.963524i | \(0.586238\pi\) | |||||||
\(510\) | 164.451 | − | 93.8943i | 0.322453 | − | 0.184107i | ||||
\(511\) | −38.4915 | − | 59.8939i | −0.0753258 | − | 0.117209i | ||||
\(512\) | 17.1007 | + | 14.8178i | 0.0333997 | + | 0.0289410i | ||||
\(513\) | −25.6192 | + | 178.186i | −0.0499400 | + | 0.347340i | ||||
\(514\) | −298.792 | + | 87.7334i | −0.581308 | + | 0.170688i | ||||
\(515\) | 317.150 | − | 329.430i | 0.615824 | − | 0.639670i | ||||
\(516\) | −327.949 | + | 47.1519i | −0.635560 | + | 0.0913797i | ||||
\(517\) | −510.616 | − | 1118.09i | −0.987652 | − | 2.16266i | ||||
\(518\) | 116.956 | − | 53.4120i | 0.225784 | − | 0.103112i | ||||
\(519\) | −59.0329 | − | 410.583i | −0.113744 | − | 0.791104i | ||||
\(520\) | −140.410 | + | 145.847i | −0.270020 | + | 0.280475i | ||||
\(521\) | −15.7378 | − | 53.5980i | −0.0302069 | − | 0.102875i | 0.943010 | − | 0.332765i | \(-0.107982\pi\) |
−0.973217 | + | 0.229890i | \(0.926163\pi\) | |||||||
\(522\) | 161.817 | + | 23.2658i | 0.309994 | + | 0.0445705i | ||||
\(523\) | −78.6175 | + | 90.7294i | −0.150320 | + | 0.173479i | −0.825916 | − | 0.563794i | \(-0.809341\pi\) |
0.675595 | + | 0.737273i | \(0.263887\pi\) | |||||||
\(524\) | −370.038 | + | 237.809i | −0.706179 | + | 0.453834i | ||||
\(525\) | −155.974 | + | 52.3089i | −0.297094 | + | 0.0996359i | ||||
\(526\) | −48.8879 | + | 166.497i | −0.0929427 | + | 0.316534i | ||||
\(527\) | −284.488 | + | 622.941i | −0.539825 | + | 1.18205i | ||||
\(528\) | −162.922 | −0.308565 | ||||||||
\(529\) | 442.975 | + | 289.160i | 0.837383 | + | 0.546617i | ||||
\(530\) | 530.342 | + | 104.863i | 1.00065 | + | 0.197854i | ||||
\(531\) | 102.905 | − | 225.331i | 0.193795 | − | 0.424353i | ||||
\(532\) | 11.5286 | − | 39.2629i | 0.0216704 | − | 0.0738025i | ||||
\(533\) | −393.400 | + | 340.883i | −0.738087 | + | 0.639556i | ||||
\(534\) | −229.806 | − | 357.586i | −0.430349 | − | 0.669636i | ||||
\(535\) | 306.367 | + | 393.456i | 0.572648 | + | 0.735433i | ||||
\(536\) | −190.454 | − | 27.3832i | −0.355325 | − | 0.0510880i | ||||
\(537\) | −20.2900 | − | 69.1013i | −0.0377840 | − | 0.128680i | ||||
\(538\) | −92.6950 | + | 144.236i | −0.172296 | + | 0.268097i | ||||
\(539\) | −761.388 | + | 109.471i | −1.41259 | + | 0.203100i | ||||
\(540\) | 65.3341 | + | 275.078i | 0.120989 | + | 0.509404i | ||||
\(541\) | −226.777 | − | 496.572i | −0.419181 | − | 0.917878i | −0.994960 | − | 0.100273i | \(-0.968029\pi\) |
0.575779 | − | 0.817605i | \(-0.304699\pi\) | |||||||
\(542\) | −137.877 | + | 19.8238i | −0.254386 | + | 0.0365752i | ||||
\(543\) | 198.467 | + | 127.547i | 0.365500 | + | 0.234893i | ||||
\(544\) | 20.8422 | + | 70.9822i | 0.0383129 | + | 0.130482i | ||||
\(545\) | 67.2840 | − | 191.421i | 0.123457 | − | 0.351231i | ||||
\(546\) | 100.683 | + | 87.2422i | 0.184401 | + | 0.159784i | ||||
\(547\) | 390.179 | + | 607.131i | 0.713308 | + | 1.10993i | 0.988890 | + | 0.148651i | \(0.0474931\pi\) |
−0.275582 | + | 0.961278i | \(0.588871\pi\) | |||||||
\(548\) | −93.0794 | − | 107.419i | −0.169853 | − | 0.196021i | ||||
\(549\) | 71.4142 | − | 243.215i | 0.130081 | − | 0.443014i | ||||
\(550\) | −513.582 | + | 480.355i | −0.933786 | + | 0.873372i | ||||
\(551\) | − | 153.133i | − | 0.277918i | ||||||
\(552\) | −127.687 | − | 37.9866i | −0.231317 | − | 0.0688164i | ||||
\(553\) | 51.4238i | 0.0929906i | ||||||||
\(554\) | 267.079 | − | 584.822i | 0.482093 | − | 1.05564i | ||||
\(555\) | 256.845 | + | 133.980i | 0.462785 | + | 0.241406i | ||||
\(556\) | 97.6939 | + | 112.745i | 0.175709 | + | 0.202778i | ||||
\(557\) | 913.492 | − | 587.066i | 1.64002 | − | 1.05398i | 0.699285 | − | 0.714843i | \(-0.253502\pi\) |
0.940738 | − | 0.339135i | \(-0.110134\pi\) | |||||||
\(558\) | −269.010 | − | 233.099i | −0.482097 | − | 0.417739i | ||||
\(559\) | 1146.28 | + | 164.811i | 2.05060 | + | 0.294831i | ||||
\(560\) | −5.80137 | − | 64.0061i | −0.0103596 | − | 0.114297i | ||||
\(561\) | −448.105 | − | 287.980i | −0.798762 | − | 0.513333i | ||||
\(562\) | −19.1761 | − | 133.373i | −0.0341211 | − | 0.237318i | ||||
\(563\) | −369.275 | − | 808.600i | −0.655906 | − | 1.43623i | −0.886288 | − | 0.463134i | \(-0.846725\pi\) |
0.230382 | − | 0.973100i | \(-0.426002\pi\) | |||||||
\(564\) | 105.144 | + | 230.232i | 0.186425 | + | 0.408213i | ||||
\(565\) | −1043.99 | − | 54.7643i | −1.84777 | − | 0.0969280i | ||||
\(566\) | 360.182 | − | 560.454i | 0.636363 | − | 0.990201i | ||||
\(567\) | 45.1373 | − | 13.2535i | 0.0796072 | − | 0.0233748i | ||||
\(568\) | −295.932 | − | 42.5486i | −0.521007 | − | 0.0749095i | ||||
\(569\) | −769.315 | − | 666.615i | −1.35205 | − | 1.17156i | −0.968781 | − | 0.247918i | \(-0.920254\pi\) |
−0.383267 | − | 0.923638i | \(-0.625201\pi\) | |||||||
\(570\) | 85.7567 | − | 33.8542i | 0.150450 | − | 0.0593934i | ||||
\(571\) | −612.289 | + | 530.552i | −1.07231 | + | 0.929163i | −0.997682 | − | 0.0680488i | \(-0.978323\pi\) |
−0.0746288 | + | 0.997211i | \(0.523777\pi\) | |||||||
\(572\) | 546.397 | + | 160.437i | 0.955239 | + | 0.280484i | ||||
\(573\) | −73.6596 | + | 161.292i | −0.128551 | + | 0.281487i | ||||
\(574\) | − | 165.247i | − | 0.287887i | ||||||
\(575\) | −514.508 | + | 256.723i | −0.894797 | + | 0.446474i | ||||
\(576\) | −38.4518 | −0.0667566 | ||||||||
\(577\) | 323.706 | + | 147.832i | 0.561016 | + | 0.256207i | 0.675678 | − | 0.737197i | \(-0.263851\pi\) |
−0.114662 | + | 0.993405i | \(0.536578\pi\) | |||||||
\(578\) | 47.0040 | − | 160.081i | 0.0813217 | − | 0.276956i | ||||
\(579\) | −289.290 | − | 333.858i | −0.499637 | − | 0.576611i | ||||
\(580\) | −88.3122 | − | 223.705i | −0.152262 | − | 0.385698i | ||||
\(581\) | −79.6799 | + | 91.9555i | −0.137143 | + | 0.158271i | ||||
\(582\) | −25.9040 | + | 180.166i | −0.0445085 | + | 0.309564i | ||||
\(583\) | −428.418 | − | 1459.06i | −0.734850 | − | 2.50267i | ||||
\(584\) | 52.7181 | + | 33.8799i | 0.0902708 | + | 0.0580135i | ||||
\(585\) | 18.0222 | − | 343.562i | 0.0308072 | − | 0.587286i | ||||
\(586\) | 119.504 | − | 54.5757i | 0.203932 | − | 0.0931326i | ||||
\(587\) | −709.871 | + | 324.187i | −1.20932 | + | 0.552278i | −0.915010 | − | 0.403432i | \(-0.867817\pi\) |
−0.294311 | + | 0.955710i | \(0.595090\pi\) | |||||||
\(588\) | 156.781 | − | 22.5418i | 0.266635 | − | 0.0383363i | ||||
\(589\) | −180.261 | + | 280.491i | −0.306045 | + | 0.476216i | ||||
\(590\) | −362.942 | + | 32.8963i | −0.615156 | + | 0.0557564i | ||||
\(591\) | 51.4937 | − | 358.147i | 0.0871298 | − | 0.606001i | ||||
\(592\) | −74.1111 | + | 85.5287i | −0.125188 | + | 0.144474i | ||||
\(593\) | 280.995 | + | 437.236i | 0.473853 | + | 0.737329i | 0.993097 | − | 0.117297i | \(-0.0374228\pi\) |
−0.519244 | + | 0.854626i | \(0.673786\pi\) | |||||||
\(594\) | 601.031 | − | 520.796i | 1.01184 | − | 0.876761i | ||||
\(595\) | 97.1802 | − | 186.298i | 0.163328 | − | 0.313106i | ||||
\(596\) | −280.280 | − | 128.000i | −0.470269 | − | 0.214765i | ||||
\(597\) | −265.535 | −0.444783 | ||||||||
\(598\) | 390.821 | + | 253.136i | 0.653546 | + | 0.423304i | ||||
\(599\) | −563.889 | −0.941383 | −0.470692 | − | 0.882298i | \(-0.655996\pi\) | ||||
−0.470692 | + | 0.882298i | \(0.655996\pi\) | |||||||
\(600\) | 105.754 | − | 98.9123i | 0.176257 | − | 0.164854i | ||||
\(601\) | −482.617 | − | 141.709i | −0.803024 | − | 0.235789i | −0.145633 | − | 0.989339i | \(-0.546522\pi\) |
−0.657391 | + | 0.753550i | \(0.728340\pi\) | |||||||
\(602\) | −277.837 | + | 240.747i | −0.461524 | + | 0.399913i | ||||
\(603\) | 275.070 | − | 176.776i | 0.456168 | − | 0.293162i | ||||
\(604\) | 40.4573 | − | 46.6902i | 0.0669823 | − | 0.0773017i | ||||
\(605\) | 1295.34 | + | 455.308i | 2.14105 | + | 0.752575i | ||||
\(606\) | −72.9658 | + | 21.4247i | −0.120406 | + | 0.0353543i | ||||
\(607\) | 348.692 | − | 542.575i | 0.574451 | − | 0.893863i | −0.425487 | − | 0.904964i | \(-0.639897\pi\) |
0.999938 | + | 0.0111011i | \(0.00353367\pi\) | |||||||
\(608\) | 5.12588 | + | 35.6513i | 0.00843072 | + | 0.0586370i | ||||
\(609\) | −143.962 | + | 65.7453i | −0.236391 | + | 0.107956i | ||||
\(610\) | −362.818 | + | 86.1735i | −0.594784 | + | 0.141268i | ||||
\(611\) | −125.903 | − | 875.675i | −0.206061 | − | 1.43318i | ||||
\(612\) | −105.759 | − | 67.9670i | −0.172808 | − | 0.111057i | ||||
\(613\) | 125.427 | − | 36.8287i | 0.204612 | − | 0.0600795i | −0.177820 | − | 0.984063i | \(-0.556905\pi\) |
0.382432 | + | 0.923983i | \(0.375086\pi\) | |||||||
\(614\) | −4.37010 | + | 30.3947i | −0.00711743 | + | 0.0495028i | ||||
\(615\) | 293.763 | − | 228.740i | 0.477664 | − | 0.371935i | ||||
\(616\) | −152.080 | + | 97.7356i | −0.246882 | + | 0.158662i | ||||
\(617\) | −108.173 | − | 124.839i | −0.175321 | − | 0.202332i | 0.661287 | − | 0.750133i | \(-0.270011\pi\) |
−0.836609 | + | 0.547801i | \(0.815465\pi\) | |||||||
\(618\) | 254.133 | + | 74.6203i | 0.411219 | + | 0.120745i | ||||
\(619\) | 223.792 | + | 102.202i | 0.361537 | + | 0.165109i | 0.587898 | − | 0.808935i | \(-0.299956\pi\) |
−0.226361 | + | 0.974044i | \(0.572683\pi\) | |||||||
\(620\) | −101.575 | + | 513.714i | −0.163830 | + | 0.828570i | ||||
\(621\) | 592.473 | − | 268.028i | 0.954063 | − | 0.431608i | ||||
\(622\) | − | 397.091i | − | 0.638410i | ||||||
\(623\) | −429.025 | − | 195.929i | −0.688643 | − | 0.314493i | ||||
\(624\) | −112.511 | − | 33.0363i | −0.180307 | − | 0.0529428i | ||||
\(625\) | 41.7412 | − | 623.605i | 0.0667858 | − | 0.997767i | ||||
\(626\) | −267.151 | − | 415.695i | −0.426759 | − | 0.664050i | ||||
\(627\) | −195.994 | − | 169.829i | −0.312589 | − | 0.270860i | ||||
\(628\) | 3.01061 | − | 20.9393i | 0.00479397 | − | 0.0333428i | ||||
\(629\) | −355.016 | + | 104.242i | −0.564414 | + | 0.165727i | ||||
\(630\) | 78.6788 | + | 75.7457i | 0.124887 | + | 0.120231i | ||||
\(631\) | 140.745 | − | 20.2361i | 0.223051 | − | 0.0320699i | −0.0298832 | − | 0.999553i | \(-0.509514\pi\) |
0.252934 | + | 0.967484i | \(0.418604\pi\) | |||||||
\(632\) | −18.8028 | − | 41.1725i | −0.0297513 | − | 0.0651463i | ||||
\(633\) | 468.544 | − | 213.977i | 0.740196 | − | 0.338036i | ||||
\(634\) | 102.800 | + | 714.986i | 0.162144 | + | 1.12774i | ||||
\(635\) | −17.7272 | − | 17.0664i | −0.0279169 | − | 0.0268762i | ||||
\(636\) | 88.2177 | + | 300.442i | 0.138707 | + | 0.472393i | ||||
\(637\) | −548.000 | − | 78.7904i | −0.860282 | − | 0.123690i | ||||
\(638\) | −443.017 | + | 511.269i | −0.694385 | + | 0.801362i | ||||
\(639\) | 427.409 | − | 274.679i | 0.668872 | − | 0.429858i | ||||
\(640\) | 28.0484 | + | 49.1252i | 0.0438256 | + | 0.0767582i | ||||
\(641\) | 60.7964 | − | 207.053i | 0.0948461 | − | 0.323016i | −0.898379 | − | 0.439221i | \(-0.855255\pi\) |
0.993225 | + | 0.116204i | \(0.0370728\pi\) | |||||||
\(642\) | −119.985 | + | 262.731i | −0.186893 | + | 0.409238i | ||||
\(643\) | −0.549470 | −0.000854541 | −0.000427271 | − | 1.00000i | \(-0.500136\pi\) | ||||
−0.000427271 | 1.00000i | \(0.500136\pi\) | ||||||||
\(644\) | −141.977 | + | 41.1398i | −0.220461 | + | 0.0638816i | ||||
\(645\) | −812.571 | − | 160.667i | −1.25980 | − | 0.249096i | ||||
\(646\) | −48.9185 | + | 107.117i | −0.0757252 | + | 0.165815i | ||||
\(647\) | −7.27404 | + | 24.7731i | −0.0112427 | + | 0.0382892i | −0.964923 | − | 0.262532i | \(-0.915443\pi\) |
0.953681 | + | 0.300821i | \(0.0972607\pi\) | |||||||
\(648\) | −31.2931 | + | 27.1156i | −0.0482918 | + | 0.0418451i | ||||
\(649\) | 554.203 | + | 862.357i | 0.853934 | + | 1.32875i | ||||
\(650\) | −452.074 | + | 227.584i | −0.695499 | + | 0.350129i | ||||
\(651\) | 341.085 | + | 49.0407i | 0.523941 | + | 0.0753313i | ||||
\(652\) | 127.838 | + | 435.376i | 0.196070 | + | 0.667754i | ||||
\(653\) | 21.0191 | − | 32.7064i | 0.0321885 | − | 0.0500863i | −0.824786 | − | 0.565444i | \(-0.808705\pi\) |
0.856975 | + | 0.515358i | \(0.172341\pi\) | |||||||
\(654\) | 116.326 | − | 16.7252i | 0.177869 | − | 0.0255737i | ||||
\(655\) | −1069.90 | + | 254.113i | −1.63343 | + | 0.387959i | ||||
\(656\) | 60.4218 | + | 132.305i | 0.0921065 | + | 0.201685i | ||||
\(657\) | −105.408 | + | 15.1553i | −0.160438 | + | 0.0230675i | ||||
\(658\) | 236.260 | + | 151.835i | 0.359058 | + | 0.230753i | ||||
\(659\) | 20.6353 | + | 70.2774i | 0.0313131 | + | 0.106643i | 0.973667 | − | 0.227976i | \(-0.0732107\pi\) |
−0.942354 | + | 0.334618i | \(0.891393\pi\) | |||||||
\(660\) | −384.259 | − | 135.066i | −0.582211 | − | 0.204646i | ||||
\(661\) | 448.188 | + | 388.357i | 0.678046 | + | 0.587530i | 0.924296 | − | 0.381676i | \(-0.124653\pi\) |
−0.246250 | + | 0.969206i | \(0.579199\pi\) | |||||||
\(662\) | 131.671 | + | 204.884i | 0.198899 | + | 0.309493i | ||||
\(663\) | −251.059 | − | 289.738i | −0.378671 | − | 0.437010i | ||||
\(664\) | 30.1727 | − | 102.759i | 0.0454408 | − | 0.154757i | ||||
\(665\) | 59.7406 | − | 83.0458i | 0.0898355 | − | 0.124881i | ||||
\(666\) | − | 192.316i | − | 0.288763i | ||||||
\(667\) | −466.412 | + | 297.404i | −0.699269 | + | 0.445883i | ||||
\(668\) | 129.766i | 0.194261i | ||||||||
\(669\) | −232.438 | + | 508.969i | −0.347441 | + | 0.760790i | ||||
\(670\) | −426.493 | − | 222.475i | −0.636557 | − | 0.332052i | ||||
\(671\) | 686.912 | + | 792.739i | 1.02371 | + | 1.18143i | ||||
\(672\) | 31.3155 | − | 20.1252i | 0.0466004 | − | 0.0299483i | ||||
\(673\) | 514.100 | + | 445.470i | 0.763892 | + | 0.661917i | 0.947021 | − | 0.321172i | \(-0.104077\pi\) |
−0.183128 | + | 0.983089i | \(0.558622\pi\) | |||||||
\(674\) | −509.572 | − | 73.2654i | −0.756041 | − | 0.108702i | ||||
\(675\) | −73.9522 | + | 702.947i | −0.109559 | + | 1.04140i | ||||
\(676\) | 60.4563 | + | 38.8529i | 0.0894324 | + | 0.0574747i | ||||
\(677\) | −20.8122 | − | 144.752i | −0.0307418 | − | 0.213814i | 0.968660 | − | 0.248389i | \(-0.0799012\pi\) |
−0.999402 | + | 0.0345754i | \(0.988992\pi\) | |||||||
\(678\) | −251.541 | − | 550.798i | −0.371005 | − | 0.812387i | ||||
\(679\) | 83.8999 | + | 183.715i | 0.123564 | + | 0.270567i | ||||
\(680\) | −9.68842 | + | 184.693i | −0.0142477 | + | 0.271608i | ||||
\(681\) | 290.040 | − | 451.311i | 0.425903 | − | 0.662719i | ||||
\(682\) | 1413.31 | − | 414.985i | 2.07230 | − | 0.608482i | ||||
\(683\) | −834.571 | − | 119.993i | −1.22192 | − | 0.175685i | −0.498990 | − | 0.866608i | \(-0.666296\pi\) |
−0.722929 | + | 0.690922i | \(0.757205\pi\) | |||||||
\(684\) | −46.2571 | − | 40.0820i | −0.0676273 | − | 0.0585994i | ||||
\(685\) | −130.479 | − | 330.518i | −0.190480 | − | 0.482508i | ||||
\(686\) | 301.114 | − | 260.917i | 0.438942 | − | 0.380345i | ||||
\(687\) | −724.095 | − | 212.613i | −1.05400 | − | 0.309481i | ||||
\(688\) | 134.423 | − | 294.344i | 0.195382 | − | 0.427826i | ||||
\(689\) | − | 1094.47i | − | 1.58849i | ||||||
\(690\) | −269.664 | − | 195.448i | −0.390817 | − | 0.283259i | ||||
\(691\) | 218.997 | 0.316928 | 0.158464 | − | 0.987365i | \(-0.449346\pi\) | ||||
0.158464 | + | 0.987365i | \(0.449346\pi\) | |||||||
\(692\) | 368.511 | + | 168.293i | 0.532530 | + | 0.243198i | ||||
\(693\) | 86.5492 | − | 294.759i | 0.124891 | − | 0.425338i | ||||
\(694\) | 110.235 | + | 127.218i | 0.158840 | + | 0.183311i | ||||
\(695\) | 136.947 | + | 346.904i | 0.197047 | + | 0.499142i | ||||
\(696\) | 91.2240 | − | 105.278i | 0.131069 | − | 0.151262i | ||||
\(697\) | −67.6759 | + | 470.697i | −0.0970960 | + | 0.675318i | ||||
\(698\) | −141.556 | − | 482.095i | −0.202802 | − | 0.690680i | ||||
\(699\) | 202.613 | + | 130.211i | 0.289861 | + | 0.186283i | ||||
\(700\) | 39.3796 | − | 155.770i | 0.0562566 | − | 0.222529i | ||||
\(701\) | 878.638 | − | 401.260i | 1.25341 | − | 0.572411i | 0.325612 | − | 0.945504i | \(-0.394430\pi\) |
0.927794 | + | 0.373092i | \(0.121703\pi\) | |||||||
\(702\) | 520.665 | − | 237.780i | 0.741688 | − | 0.338718i | ||||
\(703\) | −178.309 | + | 25.6370i | −0.253641 | + | 0.0364680i | ||||
\(704\) | 86.0261 | − | 133.859i | 0.122196 | − | 0.190141i | ||||
\(705\) | 57.1181 | + | 630.179i | 0.0810185 | + | 0.893871i | ||||
\(706\) | 47.0583 | − | 327.298i | 0.0666549 | − | 0.463595i | ||||
\(707\) | −55.2573 | + | 63.7703i | −0.0781575 | + | 0.0901985i | ||||
\(708\) | −114.119 | − | 177.572i | −0.161185 | − | 0.250808i | ||||
\(709\) | −541.039 | + | 468.813i | −0.763102 | + | 0.661231i | −0.946826 | − | 0.321746i | \(-0.895730\pi\) |
0.183724 | + | 0.982978i | \(0.441185\pi\) | |||||||
\(710\) | −662.695 | − | 345.687i | −0.933373 | − | 0.486883i | ||||
\(711\) | 69.9663 | + | 31.9525i | 0.0984055 | + | 0.0449403i | ||||
\(712\) | 415.139 | 0.583061 | ||||||||
\(713\) | 1204.41 | + | 4.28799i | 1.68921 | + | 0.00601402i | ||||
\(714\) | 121.704 | 0.170454 | ||||||||
\(715\) | 1155.69 | + | 831.371i | 1.61636 | + | 1.16276i | ||||
\(716\) | 67.4881 | + | 19.8163i | 0.0942571 | + | 0.0276764i | ||||
\(717\) | −356.893 | + | 309.249i | −0.497758 | + | 0.431310i | ||||
\(718\) | −76.6811 | + | 49.2799i | −0.106798 | + | 0.0686350i | ||||
\(719\) | −764.855 | + | 882.690i | −1.06378 | + | 1.22766i | −0.0910157 | + | 0.995849i | \(0.529011\pi\) |
−0.972760 | + | 0.231813i | \(0.925534\pi\) | |||||||
\(720\) | −90.6902 | − | 31.8774i | −0.125959 | − | 0.0442741i | ||||
\(721\) | 281.984 | − | 82.7981i | 0.391102 | − | 0.114838i | ||||
\(722\) | 245.018 | − | 381.255i | 0.339360 | − | 0.528054i | ||||
\(723\) | −15.4973 | − | 107.786i | −0.0214347 | − | 0.149081i | ||||
\(724\) | −209.588 | + | 95.7158i | −0.289487 | + | 0.132204i | ||||
\(725\) | −22.8318 | − | 600.831i | −0.0314921 | − | 0.828732i | ||||
\(726\) | 113.179 | + | 787.174i | 0.155893 | + | 1.08426i | ||||
\(727\) | −17.0437 | − | 10.9533i | −0.0234439 | − | 0.0150665i | 0.528866 | − | 0.848705i | \(-0.322617\pi\) |
−0.552310 | + | 0.833639i | \(0.686254\pi\) | |||||||
\(728\) | −124.842 | + | 36.6568i | −0.171486 | + | 0.0503528i | ||||
\(729\) | 84.1713 | − | 585.424i | 0.115461 | − | 0.803051i | ||||
\(730\) | 96.2508 | + | 123.612i | 0.131850 | + | 0.169331i | ||||
\(731\) | 889.998 | − | 571.967i | 1.21751 | − | 0.782445i | ||||
\(732\) | −141.446 | − | 163.237i | −0.193232 | − | 0.223001i | ||||
\(733\) | 1041.83 | + | 305.909i | 1.42132 | + | 0.417338i | 0.899951 | − | 0.435991i | \(-0.143602\pi\) |
0.521373 | + | 0.853329i | \(0.325420\pi\) | |||||||
\(734\) | −621.163 | − | 283.675i | −0.846271 | − | 0.386479i | ||||
\(735\) | 388.463 | + | 76.8095i | 0.528521 | + | 0.104503i | ||||
\(736\) | 98.6315 | − | 84.8518i | 0.134010 | − | 0.115288i | ||||
\(737\) | 1353.07i | 1.83591i | ||||||||
\(738\) | −224.833 | − | 102.678i | −0.304651 | − | 0.139130i | ||||
\(739\) | 335.412 | + | 98.4859i | 0.453873 | + | 0.133269i | 0.500676 | − | 0.865635i | \(-0.333085\pi\) |
−0.0468025 | + | 0.998904i | \(0.514903\pi\) | |||||||
\(740\) | −245.699 | + | 140.283i | −0.332026 | + | 0.189572i | ||||
\(741\) | −100.913 | − | 157.024i | −0.136185 | − | 0.211908i | ||||
\(742\) | 262.579 | + | 227.526i | 0.353880 | + | 0.306639i | ||||
\(743\) | 33.7897 | − | 235.012i | 0.0454773 | − | 0.316302i | −0.954367 | − | 0.298637i | \(-0.903468\pi\) |
0.999844 | − | 0.0176643i | \(-0.00562303\pi\) | |||||||
\(744\) | −291.022 | + | 85.4516i | −0.391158 | + | 0.114854i | ||||
\(745\) | −554.938 | − | 534.251i | −0.744884 | − | 0.717116i | ||||
\(746\) | 107.275 | − | 15.4238i | 0.143800 | − | 0.0206754i | ||||
\(747\) | 75.6033 | + | 165.548i | 0.101209 | + | 0.221617i | ||||
\(748\) | 473.216 | − | 216.111i | 0.632642 | − | 0.288918i | ||||
\(749\) | 45.6098 | + | 317.223i | 0.0608943 | + | 0.423529i | ||||
\(750\) | 331.426 | − | 145.616i | 0.441902 | − | 0.194155i | ||||
\(751\) | −168.979 | − | 575.489i | −0.225005 | − | 0.766296i | −0.992175 | − | 0.124853i | \(-0.960154\pi\) |
0.767170 | − | 0.641443i | \(-0.221664\pi\) | |||||||
\(752\) | −244.680 | − | 35.1796i | −0.325372 | − | 0.0467814i | ||||
\(753\) | −265.368 | + | 306.251i | −0.352414 | + | 0.406707i | ||||
\(754\) | −409.612 | + | 263.242i | −0.543252 | + | 0.349127i | ||||
\(755\) | 134.128 | − | 76.5809i | 0.177652 | − | 0.101432i | ||||
\(756\) | −51.1926 | + | 174.346i | −0.0677151 | + | 0.230616i | ||||
\(757\) | −1.07299 | + | 2.34952i | −0.00141742 | + | 0.00310372i | −0.910339 | − | 0.413863i | \(-0.864179\pi\) |
0.908922 | + | 0.416966i | \(0.136907\pi\) | |||||||
\(758\) | −145.252 | −0.191625 | ||||||||
\(759\) | −136.622 | + | 926.788i | −0.180002 | + | 1.22106i | ||||
\(760\) | −17.4661 | + | 88.3345i | −0.0229817 | + | 0.116230i | ||||
\(761\) | −261.039 | + | 571.596i | −0.343021 | + | 0.751112i | −0.999996 | − | 0.00280086i | \(-0.999108\pi\) |
0.656975 | + | 0.753912i | \(0.271836\pi\) | |||||||
\(762\) | 4.01546 | − | 13.6754i | 0.00526963 | − | 0.0179467i | ||||
\(763\) | 98.5511 | − | 85.3950i | 0.129163 | − | 0.111920i | ||||
\(764\) | −93.6259 | − | 145.685i | −0.122547 | − | 0.190687i | ||||
\(765\) | −193.090 | − | 247.979i | −0.252406 | − | 0.324156i | ||||
\(766\) | 31.1276 | + | 4.47548i | 0.0406366 | + | 0.00584266i | ||||
\(767\) | 207.860 | + | 707.907i | 0.271004 | + | 0.922955i | ||||
\(768\) | −17.7141 | + | 27.5636i | −0.0230652 | + | 0.0358901i | ||||
\(769\) | 679.046 | − | 97.6320i | 0.883024 | − | 0.126960i | 0.314139 | − | 0.949377i | \(-0.398284\pi\) |
0.568885 | + | 0.822417i | \(0.307375\pi\) | |||||||
\(770\) | −439.711 | + | 104.436i | −0.571053 | + | 0.135632i | ||||
\(771\) | −187.320 | − | 410.174i | −0.242957 | − | 0.532003i | ||||
\(772\) | 427.052 | − | 61.4009i | 0.553177 | − | 0.0795348i | ||||
\(773\) | 1026.85 | + | 659.916i | 1.32840 | + | 0.853708i | 0.995993 | − | 0.0894299i | \(-0.0285045\pi\) |
0.332402 | + | 0.943138i | \(0.392141\pi\) | |||||||
\(774\) | 154.920 | + | 527.611i | 0.200156 | + | 0.681667i | ||||
\(775\) | −665.448 | + | 1127.41i | −0.858643 | + | 1.45472i | ||||
\(776\) | −134.349 | − | 116.414i | −0.173130 | − | 0.150018i | ||||
\(777\) | 100.656 | + | 156.624i | 0.129545 | + | 0.201575i | ||||
\(778\) | −664.003 | − | 766.300i | −0.853474 | − | 0.984961i | ||||
\(779\) | −65.2277 | + | 222.145i | −0.0837326 | + | 0.285167i | ||||
\(780\) | −237.975 | − | 171.192i | −0.305096 | − | 0.219477i | ||||
\(781\) | 2102.43i | 2.69197i | ||||||||
\(782\) | 421.261 | − | 59.0382i | 0.538697 | − | 0.0754965i | ||||
\(783\) | 679.983i | 0.868433i | ||||||||
\(784\) | −64.2629 | + | 140.716i | −0.0819680 | + | 0.179485i | ||||
\(785\) | 24.4598 | − | 46.8903i | 0.0311589 | − | 0.0597329i | ||||
\(786\) | −417.102 | − | 481.362i | −0.530665 | − | 0.612420i | ||||
\(787\) | −114.139 | + | 73.3524i | −0.145030 | + | 0.0932051i | −0.611144 | − | 0.791520i | \(-0.709290\pi\) |
0.466114 | + | 0.884725i | \(0.345654\pi\) | |||||||
\(788\) | 267.068 | + | 231.416i | 0.338919 | + | 0.293675i | ||||
\(789\) | −248.711 | − | 35.7593i | −0.315223 | − | 0.0453223i | ||||
\(790\) | −10.2144 | − | 112.695i | −0.0129297 | − | 0.142652i | ||||
\(791\) | −565.219 | − | 363.244i | −0.714563 | − | 0.459222i | ||||
\(792\) | 38.4816 | + | 267.646i | 0.0485879 | + | 0.337936i | ||||
\(793\) | 313.623 | + | 686.739i | 0.395490 | + | 0.866001i | ||||
\(794\) | 360.882 | + | 790.222i | 0.454512 | + | 0.995241i | ||||
\(795\) | −41.0076 | + | 781.739i | −0.0515819 | + | 0.983320i | ||||
\(796\) | 140.208 | − | 218.167i | 0.176140 | − | 0.274080i | ||||
\(797\) | −883.892 | + | 259.534i | −1.10902 | + | 0.325639i | −0.784432 | − | 0.620215i | \(-0.787045\pi\) |
−0.324592 | + | 0.945854i | \(0.605227\pi\) | |||||||
\(798\) | 58.6506 | + | 8.43268i | 0.0734970 | + | 0.0105673i | ||||
\(799\) | −610.789 | − | 529.252i | −0.764442 | − | 0.662393i | ||||
\(800\) | 25.4274 | + | 139.117i | 0.0317842 | + | 0.173896i | ||||
\(801\) | −533.155 | + | 461.982i | −0.665612 | + | 0.576756i | ||||
\(802\) | −515.141 | − | 151.259i | −0.642320 | − | 0.188602i | ||||
\(803\) | 183.063 | − | 400.853i | 0.227974 | − | 0.499194i | ||||
\(804\) | − | 278.617i | − | 0.346539i | ||||||
\(805\) | −368.965 | − | 20.6722i | −0.458341 | − | 0.0256798i | ||||
\(806\) | 1060.15 | 1.31533 | ||||||||
\(807\) | −225.833 | − | 103.135i | −0.279843 | − | 0.127800i | ||||
\(808\) | 20.9245 | − | 71.2623i | 0.0258967 | − | 0.0881959i | ||||
\(809\) | 32.2779 | + | 37.2507i | 0.0398986 | + | 0.0460454i | 0.775348 | − | 0.631534i | \(-0.217574\pi\) |
−0.735450 | + | 0.677579i | \(0.763029\pi\) | |||||||
\(810\) | −96.2856 | + | 38.0107i | −0.118871 | + | 0.0469268i | ||||
\(811\) | 238.893 | − | 275.698i | 0.294566 | − | 0.339948i | −0.589104 | − | 0.808057i | \(-0.700519\pi\) |
0.883671 | + | 0.468109i | \(0.155065\pi\) | |||||||
\(812\) | 21.9975 | − | 152.996i | 0.0270905 | − | 0.188419i | ||||
\(813\) | −56.8261 | − | 193.532i | −0.0698968 | − | 0.238047i | ||||
\(814\) | 669.495 | + | 430.258i | 0.822475 | + | 0.528573i | ||||
\(815\) | −59.4248 | + | 1132.83i | −0.0729139 | + | 1.38998i | ||||
\(816\) | −97.4423 | + | 44.5004i | −0.119415 | + | 0.0545348i | ||||
\(817\) | 468.531 | − | 213.971i | 0.573478 | − | 0.261899i | ||||
\(818\) | 656.154 | − | 94.3408i | 0.802145 | − | 0.115331i | ||||
\(819\) | 119.539 | − | 186.006i | 0.145957 | − | 0.227113i | ||||
\(820\) | 32.8235 | + | 362.139i | 0.0400286 | + | 0.441633i | ||||
\(821\) | 180.636 | − | 1256.35i | 0.220020 | − | 1.53027i | −0.517935 | − | 0.855420i | \(-0.673299\pi\) |
0.737955 | − | 0.674850i | \(-0.235792\pi\) | |||||||
\(822\) | 134.781 | − | 155.545i | 0.163967 | − | 0.189228i | ||||
\(823\) | −374.075 | − | 582.072i | −0.454526 | − | 0.707257i | 0.536055 | − | 0.844183i | \(-0.319914\pi\) |
−0.990581 | + | 0.136926i | \(0.956278\pi\) | |||||||
\(824\) | −195.496 | + | 169.398i | −0.237253 | + | 0.205581i | ||||
\(825\) | −794.319 | − | 637.119i | −0.962811 | − | 0.772265i | ||||
\(826\) | −213.048 | − | 97.2958i | −0.257927 | − | 0.117791i | ||||
\(827\) | −542.339 | −0.655791 | −0.327896 | − | 0.944714i | \(-0.606339\pi\) | ||||
−0.327896 | + | 0.944714i | \(0.606339\pi\) | |||||||
\(828\) | −32.2445 | + | 218.734i | −0.0389426 | + | 0.264172i | ||||
\(829\) | −701.791 | −0.846552 | −0.423276 | − | 0.906001i | \(-0.639120\pi\) | ||||
−0.423276 | + | 0.906001i | \(0.639120\pi\) | |||||||
\(830\) | 156.353 | − | 217.347i | 0.188377 | − | 0.261864i | ||||
\(831\) | 893.253 | + | 262.283i | 1.07491 | + | 0.315623i | ||||
\(832\) | 86.5512 | − | 74.9970i | 0.104028 | − | 0.0901407i | ||||
\(833\) | −425.478 | + | 273.438i | −0.510778 | + | 0.328257i | ||||
\(834\) | −141.463 | + | 163.257i | −0.169620 | + | 0.195751i | ||||
\(835\) | −107.579 | + | 306.060i | −0.128837 | + | 0.366538i | ||||
\(836\) | 243.022 | − | 71.3578i | 0.290697 | − | 0.0853562i | ||||
\(837\) | 800.442 | − | 1245.51i | 0.956323 | − | 1.48807i | ||||
\(838\) | −9.41146 | − | 65.4582i | −0.0112309 | − | 0.0781124i | ||||
\(839\) | 1192.08 | − | 544.406i | 1.42084 | − | 0.648875i | 0.450977 | − | 0.892535i | \(-0.351076\pi\) |
0.969861 | + | 0.243661i | \(0.0783483\pi\) | |||||||
\(840\) | 90.5432 | − | 21.5050i | 0.107789 | − | 0.0256012i | ||||
\(841\) | 37.3676 | + | 259.897i | 0.0444323 | + | 0.309033i | ||||
\(842\) | 120.097 | + | 77.1817i | 0.142633 | + | 0.0916648i | ||||
\(843\) | 187.209 | − | 54.9694i | 0.222074 | − | 0.0652069i | ||||
\(844\) | −71.5938 | + | 497.946i | −0.0848268 | + | 0.589983i | ||||
\(845\) | 110.379 | + | 141.756i | 0.130626 | + | 0.167758i | ||||
\(846\) | 353.386 | − | 227.108i | 0.417714 | − | 0.268449i | ||||
\(847\) | 577.865 | + | 666.891i | 0.682249 | + | 0.787357i | ||||
\(848\) | −293.428 | − | 86.1581i | −0.346023 | − | 0.101602i | ||||
\(849\) | 877.512 | + | 400.746i | 1.03358 | + | 0.472021i | ||||
\(850\) | −175.965 | + | 427.575i | −0.207018 | + | 0.503029i | ||||
\(851\) | 424.385 | + | 493.304i | 0.498690 | + | 0.579676i | ||||
\(852\) | − | 432.922i | − | 0.508125i | ||||||
\(853\) | −1194.96 | − | 545.720i | −1.40089 | − | 0.639766i | −0.435409 | − | 0.900233i | \(-0.643396\pi\) |
−0.965483 | + | 0.260467i | \(0.916123\pi\) | |||||||
\(854\) | −229.956 | − | 67.5213i | −0.269270 | − | 0.0790647i | ||||
\(855\) | −75.8704 | − | 132.883i | −0.0887373 | − | 0.155419i | ||||
\(856\) | −152.509 | − | 237.308i | −0.178164 | − | 0.277229i | ||||
\(857\) | −405.846 | − | 351.667i | −0.473565 | − | 0.410347i | 0.385107 | − | 0.922872i | \(-0.374165\pi\) |
−0.858672 | + | 0.512525i | \(0.828710\pi\) | |||||||
\(858\) | −117.352 | + | 816.202i | −0.136774 | + | 0.951285i | ||||
\(859\) | −1298.87 | + | 381.383i | −1.51207 | + | 0.443985i | −0.929509 | − | 0.368799i | \(-0.879769\pi\) |
−0.582565 | + | 0.812784i | \(0.697951\pi\) | |||||||
\(860\) | 561.059 | − | 582.784i | 0.652394 | − | 0.677656i | ||||
\(861\) | 236.846 | − | 34.0533i | 0.275082 | − | 0.0395509i | ||||
\(862\) | −133.842 | − | 293.074i | −0.155270 | − | 0.339993i | ||||
\(863\) | −451.789 | + | 206.325i | −0.523510 | + | 0.239079i | −0.659599 | − | 0.751618i | \(-0.729274\pi\) |
0.136089 | + | 0.990697i | \(0.456547\pi\) | |||||||
\(864\) | −22.7613 | − | 158.309i | −0.0263441 | − | 0.183227i | ||||
\(865\) | 729.630 | + | 702.431i | 0.843503 | + | 0.812058i | ||||
\(866\) | −52.0226 | − | 177.173i | −0.0600723 | − | 0.204588i | ||||
\(867\) | 239.127 | + | 34.3813i | 0.275810 | + | 0.0396555i | ||||
\(868\) | −220.392 | + | 254.346i | −0.253908 | + | 0.293025i | ||||
\(869\) | −267.765 | + | 172.082i | −0.308130 | + | 0.198023i | ||||
\(870\) | 302.433 | − | 172.676i | 0.347625 | − | 0.198478i | ||||
\(871\) | −274.366 | + | 934.406i | −0.315002 | + | 1.07280i | ||||
\(872\) | −47.6807 | + | 104.406i | −0.0546798 | + | 0.119732i | ||||
\(873\) | 302.091 | 0.346038 | ||||||||
\(874\) | 207.102 | + | 0.737333i | 0.236958 | + | 0.000843630i | ||||
\(875\) | 222.016 | − | 334.745i | 0.253732 | − | 0.382565i | ||||
\(876\) | −37.6955 | + | 82.5417i | −0.0430314 | + | 0.0942257i | ||||
\(877\) | 13.7261 | − | 46.7469i | 0.0156512 | − | 0.0533032i | −0.951297 | − | 0.308275i | \(-0.900248\pi\) |
0.966948 | + | 0.254972i | \(0.0820663\pi\) | |||||||
\(878\) | 457.331 | − | 396.280i | 0.520878 | − | 0.451344i | ||||
\(879\) | 102.849 | + | 160.036i | 0.117007 | + | 0.182066i | ||||
\(880\) | 313.868 | − | 244.395i | 0.356668 | − | 0.277722i | ||||
\(881\) | 683.953 | + | 98.3376i | 0.776337 | + | 0.111620i | 0.519083 | − | 0.854724i | \(-0.326273\pi\) |
0.257253 | + | 0.966344i | \(0.417182\pi\) | |||||||
\(882\) | −74.0623 | − | 252.233i | −0.0839708 | − | 0.285978i | ||||
\(883\) | −431.383 | + | 671.245i | −0.488542 | + | 0.760187i | −0.994762 | − | 0.102218i | \(-0.967406\pi\) |
0.506220 | + | 0.862405i | \(0.331042\pi\) | |||||||
\(884\) | 370.616 | − | 53.2866i | 0.419249 | − | 0.0602789i | ||||
\(885\) | −121.943 | − | 513.419i | −0.137788 | − | 0.580134i | ||||
\(886\) | 260.523 | + | 570.465i | 0.294044 | + | 0.643866i | ||||
\(887\) | −861.130 | + | 123.812i | −0.970834 | + | 0.139585i | −0.609443 | − | 0.792830i | \(-0.708607\pi\) |
−0.361391 | + | 0.932414i | \(0.617698\pi\) | |||||||
\(888\) | −137.859 | − | 88.5967i | −0.155247 | − | 0.0997710i | ||||
\(889\) | −4.45552 | − | 15.1741i | −0.00501183 | − | 0.0170687i | ||||
\(890\) | 979.124 | + | 344.159i | 1.10014 | + | 0.386696i | ||||
\(891\) | 220.057 | + | 190.680i | 0.246977 | + | 0.214007i | ||||
\(892\) | −295.444 | − | 459.719i | −0.331215 | − | 0.515380i | ||||
\(893\) | −257.676 | − | 297.373i | −0.288550 | − | 0.333005i | ||||
\(894\) | 125.701 | − | 428.098i | 0.140605 | − | 0.478857i | ||||
\(895\) | 142.745 | + | 102.687i | 0.159492 | + | 0.114734i | ||||
\(896\) | 36.3557i | 0.0405756i | ||||||||
\(897\) | −282.276 | + | 612.321i | −0.314689 | + | 0.682632i | ||||
\(898\) | 58.2553i | 0.0648722i | ||||||||
\(899\) | −523.187 | + | 1145.62i | −0.581965 | + | 1.27433i | ||||
\(900\) | −187.470 | − | 150.368i | −0.208300 | − | 0.167076i | ||||
\(901\) | −654.758 | − | 755.631i | −0.726701 | − | 0.838658i | ||||
\(902\) | 860.448 | − | 552.977i | 0.953934 | − | 0.613056i | ||||
\(903\) | −402.314 | − | 348.607i | −0.445530 | − | 0.386054i | ||||
\(904\) | 585.361 | + | 84.1623i | 0.647524 | + | 0.0930998i | ||||
\(905\) | −573.673 | + | 51.9965i | −0.633893 | + | 0.0574547i | ||||
\(906\) | 75.2575 | + | 48.3650i | 0.0830656 | + | 0.0533830i | ||||
\(907\) | 114.280 | + | 794.832i | 0.125997 | + | 0.876331i | 0.950556 | + | 0.310554i | \(0.100515\pi\) |
−0.824558 | + | 0.565777i | \(0.808576\pi\) | |||||||
\(908\) | 217.657 | + | 476.602i | 0.239710 | + | 0.524892i | ||||
\(909\) | 52.4303 | + | 114.806i | 0.0576791 | + | 0.126300i | ||||
\(910\) | −324.834 | − | 17.0398i | −0.356960 | − | 0.0187250i | ||||
\(911\) | 836.583 | − | 1301.75i | 0.918313 | − | 1.42892i | 0.0150251 | − | 0.999887i | \(-0.495217\pi\) |
0.903288 | − | 0.429035i | \(-0.141146\pi\) | |||||||
\(912\) | −50.0420 | + | 14.6937i | −0.0548706 | + | 0.0161115i | ||||
\(913\) | −745.452 | − | 107.180i | −0.816487 | − | 0.117393i | ||||
\(914\) | −507.612 | − | 439.848i | −0.555374 | − | 0.481234i | ||||
\(915\) | −198.279 | − | 502.263i | −0.216698 | − | 0.548921i | ||||
\(916\) | 557.021 | − | 482.662i | 0.608102 | − | 0.526923i | ||||
\(917\) | −678.108 | − | 199.110i | −0.739485 | − | 0.217132i | ||||
\(918\) | 217.221 | − | 475.648i | 0.236624 | − | 0.518135i | ||||
\(919\) | − | 228.043i | − | 0.248142i | −0.992273 | − | 0.124071i | \(-0.960405\pi\) | ||
0.992273 | − | 0.124071i | \(-0.0395951\pi\) | |||||||
\(920\) | 302.971 | − | 118.359i | 0.329316 | − | 0.128651i | ||||
\(921\) | −44.4648 | −0.0482788 | ||||||||
\(922\) | −66.3094 | − | 30.2825i | −0.0719190 | − | 0.0328443i | ||||
\(923\) | −426.317 | + | 1451.90i | −0.461882 | + | 1.57302i | ||||
\(924\) | −171.422 | − | 197.832i | −0.185522 | − | 0.214104i | ||||
\(925\) | −695.790 | + | 127.175i | −0.752206 | + | 0.137486i | ||||
\(926\) | −141.076 | + | 162.810i | −0.152350 | + | 0.175821i | ||||
\(927\) | 62.5594 | − | 435.110i | 0.0674858 | − | 0.469374i | ||||
\(928\) | 38.3299 | + | 130.540i | 0.0413038 | + | 0.140668i | ||||
\(929\) | −1326.63 | − | 852.571i | −1.42802 | − | 0.917730i | −0.999902 | − | 0.0140056i | \(-0.995542\pi\) |
−0.428114 | − | 0.903725i | \(-0.640822\pi\) | |||||||
\(930\) | −757.228 | − | 39.7218i | −0.814224 | − | 0.0427116i | ||||
\(931\) | −223.989 | + | 102.292i | −0.240590 | + | 0.109874i | ||||
\(932\) | −213.967 | + | 97.7154i | −0.229578 | + | 0.104845i | ||||
\(933\) | 569.143 | − | 81.8304i | 0.610014 | − | 0.0877067i | ||||
\(934\) | −203.047 | + | 315.948i | −0.217396 | + | 0.338274i | ||||
\(935\) | 1295.26 | − | 117.400i | 1.38531 | − | 0.125561i | ||||
\(936\) | −27.6966 | + | 192.634i | −0.0295904 | + | 0.205806i | ||||
\(937\) | −127.644 | + | 147.309i | −0.136226 | + | 0.157213i | −0.819764 | − | 0.572702i | \(-0.805895\pi\) |
0.683537 | + | 0.729915i | \(0.260441\pi\) | |||||||
\(938\) | −167.140 | − | 260.075i | −0.178188 | − | 0.277265i | ||||
\(939\) | 540.755 | − | 468.567i | 0.575884 | − | 0.499006i | ||||
\(940\) | −547.923 | − | 285.817i | −0.582896 | − | 0.304061i | ||||
\(941\) | 105.074 | + | 47.9857i | 0.111662 | + | 0.0509943i | 0.470463 | − | 0.882420i | \(-0.344087\pi\) |
−0.358801 | + | 0.933414i | \(0.616814\pi\) | |||||||
\(942\) | 30.6323 | 0.0325183 | ||||||||
\(943\) | 803.290 | − | 232.764i | 0.851845 | − | 0.246833i | ||||
\(944\) | 206.153 | 0.218382 | ||||||||
\(945\) | −265.276 | + | 368.763i | −0.280716 | + | 0.390225i | ||||
\(946\) | −2183.32 | − | 641.081i | −2.30795 | − | 0.677676i | ||||
\(947\) | 790.768 | − | 685.204i | 0.835024 | − | 0.723553i | −0.128345 | − | 0.991730i | \(-0.540967\pi\) |
0.963370 | + | 0.268177i | \(0.0864212\pi\) | |||||||
\(948\) | 55.1369 | − | 35.4344i | 0.0581613 | − | 0.0373780i | ||||
\(949\) | 207.703 | − | 239.702i | 0.218865 | − | 0.252584i | ||||
\(950\) | −114.426 | + | 193.861i | −0.120448 | + | 0.204064i | ||||
\(951\) | −1003.59 | + | 294.681i | −1.05530 | + | 0.309865i | ||||
\(952\) | −64.2620 | + | 99.9936i | −0.0675021 | + | 0.105035i | ||||
\(953\) | −195.452 | − | 1359.40i | −0.205092 | − | 1.42644i | −0.788885 | − | 0.614541i | \(-0.789341\pi\) |
0.583793 | − | 0.811902i | \(-0.301568\pi\) | |||||||
\(954\) | 472.723 | − | 215.885i | 0.495517 | − | 0.226295i | ||||
\(955\) | −100.045 | − | 421.222i | −0.104759 | − | 0.441070i | ||||
\(956\) | −65.6372 | − | 456.517i | −0.0686582 | − | 0.477528i | ||||
\(957\) | −824.087 | − | 529.609i | −0.861115 | − | 0.553405i | ||||
\(958\) | 29.0015 | − | 8.51560i | 0.0302729 | − | 0.00888893i | ||||
\(959\) | 32.5007 | − | 226.047i | 0.0338902 | − | 0.235711i | ||||
\(960\) | −64.6302 | + | 50.3247i | −0.0673232 | + | 0.0524215i | ||||
\(961\) | 1498.43 | − | 962.985i | 1.55924 | − | 1.00207i | ||||
\(962\) | 375.097 | + | 432.885i | 0.389913 | + | 0.449984i | ||||
\(963\) | 459.948 | + | 135.053i | 0.477620 | + | 0.140242i | ||||
\(964\) | 96.7410 | + | 44.1801i | 0.100354 | + | 0.0458300i | ||||
\(965\) | 1058.12 | + | 209.219i | 1.09650 | + | 0.216807i | ||||
\(966\) | −88.2227 | − | 195.015i | −0.0913279 | − | 0.201879i | ||||
\(967\) | − | 1521.66i | − | 1.57359i | −0.617213 | − | 0.786796i | \(-0.711738\pi\) | ||
0.617213 | − | 0.786796i | \(-0.288262\pi\) | |||||||
\(968\) | −706.513 | − | 322.654i | −0.729869 | − | 0.333320i | ||||
\(969\) | −163.609 | − | 48.0399i | −0.168843 | − | 0.0495768i | ||||
\(970\) | −220.358 | − | 385.946i | −0.227173 | − | 0.397882i | ||||
\(971\) | 206.989 | + | 322.082i | 0.213171 | + | 0.331701i | 0.931329 | − | 0.364180i | \(-0.118651\pi\) |
−0.718157 | + | 0.695881i | \(0.755014\pi\) | |||||||
\(972\) | 339.299 | + | 294.004i | 0.349073 | + | 0.302473i | ||||
\(973\) | −34.1120 | + | 237.254i | −0.0350585 | + | 0.243837i | ||||
\(974\) | 530.346 | − | 155.724i | 0.544503 | − | 0.159880i | ||||
\(975\) | −419.353 | − | 601.050i | −0.430105 | − | 0.616462i | ||||
\(976\) | 208.803 | − | 30.0214i | 0.213938 | − | 0.0307596i | ||||
\(977\) | −33.8902 | − | 74.2092i | −0.0346880 | − | 0.0759562i | 0.891495 | − | 0.453031i | \(-0.149657\pi\) |
−0.926183 | + | 0.377075i | \(0.876930\pi\) | |||||||
\(978\) | −597.672 | + | 272.947i | −0.611116 | + | 0.279087i | ||||
\(979\) | −415.461 | − | 2889.60i | −0.424373 | − | 2.95158i | ||||
\(980\) | −268.224 | + | 278.610i | −0.273697 | + | 0.284296i | ||||
\(981\) | −54.9515 | − | 187.148i | −0.0560158 | − | 0.190772i | ||||
\(982\) | −1043.94 | − | 150.095i | −1.06307 | − | 0.152847i | ||||
\(983\) | −144.478 | + | 166.736i | −0.146976 | + | 0.169620i | −0.824464 | − | 0.565914i | \(-0.808523\pi\) |
0.677488 | + | 0.735534i | \(0.263069\pi\) | |||||||
\(984\) | −177.179 | + | 113.866i | −0.180060 | + | 0.115718i | ||||
\(985\) | 438.043 | + | 767.210i | 0.444714 | + | 0.778893i | ||||
\(986\) | −125.317 | + | 426.791i | −0.127096 | + | 0.432850i | ||||
\(987\) | −168.935 | + | 369.917i | −0.171160 | + | 0.374789i | ||||
\(988\) | 182.297 | 0.184511 | ||||||||
\(989\) | −1561.66 | − | 1011.49i | −1.57903 | − | 1.02274i | ||||
\(990\) | −131.123 | + | 663.155i | −0.132448 | + | 0.669854i | ||||
\(991\) | 471.774 | − | 1033.04i | 0.476059 | − | 1.04242i | −0.507470 | − | 0.861670i | \(-0.669419\pi\) |
0.983528 | − | 0.180754i | \(-0.0578537\pi\) | |||||||
\(992\) | 83.4566 | − | 284.227i | 0.0841297 | − | 0.286519i | ||||
\(993\) | −266.522 | + | 230.943i | −0.268401 | + | 0.232571i | ||||
\(994\) | −259.706 | − | 404.110i | −0.261274 | − | 0.406550i | ||||
\(995\) | 511.551 | − | 398.322i | 0.514122 | − | 0.400324i | ||||
\(996\) | 153.500 | + | 22.0700i | 0.154116 | + | 0.0221586i | ||||
\(997\) | −157.022 | − | 534.768i | −0.157494 | − | 0.536377i | 0.842503 | − | 0.538692i | \(-0.181081\pi\) |
−0.999997 | + | 0.00231505i | \(0.999263\pi\) | |||||||
\(998\) | −298.431 | + | 464.368i | −0.299029 | + | 0.465299i | ||||
\(999\) | 791.778 | − | 113.840i | 0.792570 | − | 0.113954i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 230.3.i.a.109.9 | yes | 240 | |
5.4 | even | 2 | inner | 230.3.i.a.109.16 | yes | 240 | |
23.19 | odd | 22 | inner | 230.3.i.a.19.16 | yes | 240 | |
115.19 | odd | 22 | inner | 230.3.i.a.19.9 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.i.a.19.9 | ✓ | 240 | 115.19 | odd | 22 | inner | |
230.3.i.a.19.16 | yes | 240 | 23.19 | odd | 22 | inner | |
230.3.i.a.109.9 | yes | 240 | 1.1 | even | 1 | trivial | |
230.3.i.a.109.16 | yes | 240 | 5.4 | even | 2 | inner |