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 | 19.16 | ||
Character | \(\chi\) | \(=\) | 230.19 |
Dual form | 230.3.i.a.109.16 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{15}{22}\right)\) |
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 | −0.998035 | − | 0.0626608i | \(-0.980041\pi\) |
0.805723 | − | 0.592292i | \(-0.201777\pi\) | |||||||
\(4\) | 1.30972 | − | 1.51150i | 0.327430 | − | 0.377875i | ||||
\(5\) | 3.46776 | − | 3.60204i | 0.693551 | − | 0.720407i | ||||
\(6\) | −1.89650 | − | 2.18868i | −0.316084 | − | 0.364780i | ||||
\(7\) | 0.457318 | + | 3.18071i | 0.0653311 | + | 0.454388i | 0.996060 | + | 0.0886786i | \(0.0282644\pi\) |
−0.930729 | + | 0.365709i | \(0.880827\pi\) | |||||||
\(8\) | 0.796860 | − | 2.71386i | 0.0996075 | − | 0.339232i | ||||
\(9\) | 4.04347 | − | 2.59858i | 0.449274 | − | 0.288731i | ||||
\(10\) | 2.34483 | − | 6.67097i | 0.234483 | − | 0.667097i | ||||
\(11\) | −18.0924 | − | 8.26254i | −1.64477 | − | 0.751140i | −0.644853 | − | 0.764306i | \(-0.723082\pi\) |
−0.999913 | + | 0.0131666i | \(0.995809\pi\) | |||||||
\(12\) | −3.72551 | − | 1.70138i | −0.310459 | − | 0.141782i | ||||
\(13\) | 14.1697 | + | 2.03730i | 1.08998 | + | 0.156716i | 0.663791 | − | 0.747918i | \(-0.268947\pi\) |
0.426190 | + | 0.904634i | \(0.359856\pi\) | |||||||
\(14\) | 2.45692 | + | 3.82305i | 0.175495 | + | 0.273075i | ||||
\(15\) | −9.07816 | − | 4.73551i | −0.605211 | − | 0.315701i | ||||
\(16\) | −0.569259 | − | 3.95929i | −0.0355787 | − | 0.247455i | ||||
\(17\) | 8.56409 | + | 9.88349i | 0.503770 | + | 0.581382i | 0.949493 | − | 0.313789i | \(-0.101599\pi\) |
−0.445722 | + | 0.895171i | \(0.647053\pi\) | |||||||
\(18\) | 3.67494 | − | 5.71832i | 0.204164 | − | 0.317685i | ||||
\(19\) | −4.81195 | − | 4.16958i | −0.253261 | − | 0.219452i | 0.518972 | − | 0.854791i | \(-0.326315\pi\) |
−0.772233 | + | 0.635339i | \(0.780860\pi\) | |||||||
\(20\) | −0.902678 | − | 9.95918i | −0.0451339 | − | 0.497959i | ||||
\(21\) | 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 | ||||||||
\(25\) | −0.949323 | − | 24.9820i | −0.0379729 | − | 0.999279i | ||||
\(26\) | 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 | 0.416165 | − | 0.909289i | \(-0.363374\pi\) |
−0.959260 | + | 0.282523i | \(0.908829\pi\) | |||||||
\(30\) | −14.4603 | − | 0.758543i | −0.482011 | − | 0.0252848i | ||||
\(31\) | 50.2447 | + | 14.7532i | 1.62080 | + | 0.475909i | 0.961233 | − | 0.275738i | \(-0.0889222\pi\) |
0.659565 | + | 0.751647i | \(0.270740\pi\) | |||||||
\(32\) | −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 | ||||
\(35\) | 13.0429 | + | 9.38267i | 0.372655 | + | 0.268076i | ||||
\(36\) | 1.36807 | − | 9.51511i | 0.0380018 | − | 0.264309i | ||||
\(37\) | −23.8013 | + | 15.2962i | −0.643279 | + | 0.413410i | −0.821205 | − | 0.570634i | \(-0.806698\pi\) |
0.177926 | + | 0.984044i | \(0.443061\pi\) | |||||||
\(38\) | −8.63973 | − | 2.53685i | −0.227361 | − | 0.0667593i | ||||
\(39\) | −4.17201 | − | 29.0169i | −0.106975 | − | 0.744024i | ||||
\(40\) | −7.01209 | − | 12.2813i | −0.175302 | − | 0.307033i | ||||
\(41\) | 30.5899 | + | 19.6590i | 0.746096 | + | 0.479487i | 0.857626 | − | 0.514274i | \(-0.171939\pi\) |
−0.111530 | + | 0.993761i | \(0.535575\pi\) | |||||||
\(42\) | 6.09426 | − | 7.03315i | 0.145102 | − | 0.167456i | ||||
\(43\) | 77.6196 | − | 22.7912i | 1.80511 | − | 0.530027i | 0.806946 | − | 0.590626i | \(-0.201119\pi\) |
0.998162 | + | 0.0605984i | \(0.0193009\pi\) | |||||||
\(44\) | −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 | ||||
\(50\) | −15.8978 | − | 31.5794i | −0.317955 | − | 0.631589i | ||||
\(51\) | 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 | 0.788258 | + | 0.615345i | \(0.210983\pi\) |
−0.582965 | + | 0.812497i | \(0.698108\pi\) | |||||||
\(54\) | −38.3645 | − | 11.2648i | −0.710453 | − | 0.208608i | ||||
\(55\) | −92.5021 | + | 36.5171i | −1.68186 | + | 0.663948i | ||||
\(56\) | 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 | 0.828262 | + | 0.560342i | \(0.189330\pi\) |
−0.952578 | + | 0.304295i | \(0.901579\pi\) | |||||||
\(60\) | −19.0476 | + | 7.51943i | −0.317460 | + | 0.125324i | ||||
\(61\) | −14.8579 | + | 50.6014i | −0.243572 | + | 0.829531i | 0.743428 | + | 0.668816i | \(0.233198\pi\) |
−0.987001 | + | 0.160716i | \(0.948620\pi\) | |||||||
\(62\) | 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 | ||||
\(65\) | 56.4757 | − | 43.9751i | 0.868856 | − | 0.676539i | ||||
\(66\) | 16.2283 | + | 55.2685i | 0.245883 | + | 0.837401i | ||||
\(67\) | −28.2599 | − | 61.8806i | −0.421790 | − | 0.923591i | −0.994588 | − | 0.103895i | \(-0.966870\pi\) |
0.572798 | − | 0.819696i | \(-0.305858\pi\) | |||||||
\(68\) | 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 | 0.916632 | + | 0.399733i | \(0.130897\pi\) |
−0.298168 | + | 0.954513i | \(0.596376\pi\) | |||||||
\(72\) | −3.83009 | − | 13.0441i | −0.0531957 | − | 0.181168i | ||||
\(73\) | 16.7443 | + | 14.5090i | 0.229373 | + | 0.198753i | 0.761963 | − | 0.647620i | \(-0.224236\pi\) |
−0.532590 | + | 0.846374i | \(0.678781\pi\) | |||||||
\(74\) | −21.6321 | + | 33.6601i | −0.292325 | + | 0.454867i | ||||
\(75\) | −48.5383 | + | 16.2782i | −0.647178 | + | 0.217043i | ||||
\(76\) | −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 | 0.241836 | − | 0.970317i | \(-0.422251\pi\) |
−0.0413303 | + | 0.999146i | \(0.513160\pi\) | |||||||
\(80\) | −16.2355 | − | 11.6793i | −0.202944 | − | 0.145992i | ||||
\(81\) | −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 | \(-0.755069\pi\) |
0.334499 | + | 0.942396i | \(0.391433\pi\) | |||||||
\(84\) | 3.70787 | − | 12.6278i | 0.0441413 | − | 0.150331i | ||||
\(85\) | 65.2989 | + | 3.42537i | 0.768222 | + | 0.0402985i | ||||
\(86\) | 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 | −0.775148 | − | 0.631780i | \(-0.782325\pi\) |
0.310530 | − | 0.950564i | \(-0.399493\pi\) | |||||||
\(90\) | −7.85380 | − | 33.0670i | −0.0872644 | − | 0.367412i | ||||
\(91\) | 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 | ||||
\(95\) | −31.7056 | + | 2.87373i | −0.333744 | + | 0.0302498i | ||||
\(96\) | −7.58601 | + | 8.75472i | −0.0790209 | + | 0.0911950i | ||||
\(97\) | −52.8735 | − | 33.9798i | −0.545088 | − | 0.350307i | 0.238938 | − | 0.971035i | \(-0.423201\pi\) |
−0.784026 | + | 0.620728i | \(0.786837\pi\) | |||||||
\(98\) | 41.3343 | − | 35.8164i | 0.421779 | − | 0.365474i | ||||
\(99\) | −94.6270 | + | 13.6053i | −0.955828 | + | 0.137427i | ||||
\(100\) | −39.0036 | − | 31.2845i | −0.390036 | − | 0.312845i | ||||
\(101\) | 22.0902 | − | 14.1965i | 0.218715 | − | 0.140560i | −0.426696 | − | 0.904395i | \(-0.640323\pi\) |
0.645411 | + | 0.763836i | \(0.276686\pi\) | |||||||
\(102\) | 5.38998 | − | 37.4881i | 0.0528429 | − | 0.367531i | ||||
\(103\) | 37.9925 | − | 83.1919i | 0.368859 | − | 0.807689i | −0.630641 | − | 0.776075i | \(-0.717208\pi\) |
0.999500 | − | 0.0316140i | \(-0.0100647\pi\) | |||||||
\(104\) | 16.8202 | − | 36.8312i | 0.161733 | − | 0.354146i | ||||
\(105\) | 10.9107 | − | 31.0407i | 0.103912 | − | 0.295625i | ||||
\(106\) | 58.4552 | + | 90.9580i | 0.551464 | + | 0.858095i | ||||
\(107\) | −95.6935 | − | 28.0981i | −0.894331 | − | 0.262599i | −0.197900 | − | 0.980222i | \(-0.563412\pi\) |
−0.696432 | + | 0.717623i | \(0.745230\pi\) | |||||||
\(108\) | −55.9705 | + | 8.04734i | −0.518245 | + | 0.0745124i | ||||
\(109\) | −30.6686 | + | 26.5745i | −0.281363 | + | 0.243803i | −0.784096 | − | 0.620639i | \(-0.786873\pi\) |
0.502733 | + | 0.864442i | \(0.332328\pi\) | |||||||
\(110\) | −97.5427 | + | 101.320i | −0.886752 | + | 0.921089i | ||||
\(111\) | 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 | 0.729613 | + | 0.683860i | \(0.239700\pi\) |
0.0390323 | + | 0.999238i | \(0.487572\pi\) | |||||||
\(114\) | 18.4394i | 0.161749i | ||||||||
\(115\) | −52.8236 | + | 102.150i | −0.459336 | + | 0.888263i | ||||
\(116\) | −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 | ||||
\(120\) | −20.0855 | + | 20.8633i | −0.167379 | + | 0.173861i | ||||
\(121\) | 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 | ||||
\(125\) | −93.2780 | − | 83.2119i | −0.746224 | − | 0.665695i | ||||
\(126\) | 19.8690 | + | 9.07385i | 0.157690 | + | 0.0720147i | ||||
\(127\) | 4.47671 | + | 2.04445i | 0.0352497 | + | 0.0160980i | 0.432962 | − | 0.901412i | \(-0.357468\pi\) |
−0.397712 | + | 0.917510i | \(0.630196\pi\) | |||||||
\(128\) | −11.1986 | − | 1.61011i | −0.0874887 | − | 0.0125790i | ||||
\(129\) | −89.5629 | − | 139.363i | −0.694286 | − | 1.08033i | ||||
\(130\) | 46.8164 | − | 89.7488i | 0.360126 | − | 0.690375i | ||||
\(131\) | −31.2996 | − | 217.694i | −0.238929 | − | 1.66178i | −0.657390 | − | 0.753550i | \(-0.728340\pi\) |
0.418462 | − | 0.908234i | \(-0.362569\pi\) | |||||||
\(132\) | 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 | ||||
\(135\) | −140.788 | + | 12.7607i | −1.04287 | + | 0.0945239i | ||||
\(136\) | 33.6468 | − | 15.3660i | 0.247403 | − | 0.112985i | ||||
\(137\) | 71.0681 | 0.518745 | 0.259373 | − | 0.965777i | \(-0.416484\pi\) | ||||
0.259373 | + | 0.965777i | \(0.416484\pi\) | |||||||
\(138\) | 56.1628 | + | 35.8118i | 0.406977 | + | 0.259506i | ||||
\(139\) | 74.5914 | 0.536629 | 0.268314 | − | 0.963331i | \(-0.413533\pi\) | ||||
0.268314 | + | 0.963331i | \(0.413533\pi\) | |||||||
\(140\) | 31.2645 | − | 7.42567i | 0.223318 | − | 0.0530405i | ||||
\(141\) | 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 | ||||
\(145\) | −120.088 | − | 6.29943i | −0.828192 | − | 0.0434443i | ||||
\(146\) | 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 | −0.114677 | − | 0.993403i | \(-0.536583\pi\) |
−0.825861 | + | 0.563874i | \(0.809311\pi\) | |||||||
\(150\) | −52.8772 | + | 49.4561i | −0.352514 | + | 0.329708i | ||||
\(151\) | −4.39611 | + | 30.5756i | −0.0291133 | + | 0.202487i | −0.999187 | − | 0.0403247i | \(-0.987161\pi\) |
0.970073 | + | 0.242812i | \(0.0780699\pi\) | |||||||
\(152\) | −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 | ||||
\(155\) | 227.378 | − | 129.823i | 1.46696 | − | 0.837567i | ||||
\(156\) | −49.3232 | − | 31.6981i | −0.316175 | − | 0.203193i | ||||
\(157\) | 6.92666 | − | 7.99379i | 0.0441188 | − | 0.0509159i | −0.733261 | − | 0.679947i | \(-0.762003\pi\) |
0.777380 | + | 0.629031i | \(0.216548\pi\) | |||||||
\(158\) | 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 | \(-0.881378\pi\) |
−0.334746 | + | 0.942308i | \(0.608651\pi\) | |||||||
\(164\) | 69.7788 | − | 20.4889i | 0.425480 | − | 0.124932i | ||||
\(165\) | 125.119 | + | 160.686i | 0.758295 | + | 0.973852i | ||||
\(166\) | −28.9505 | + | 45.0478i | −0.174400 | + | 0.271372i | ||||
\(167\) | −49.0354 | + | 42.4895i | −0.293625 | + | 0.254428i | −0.789198 | − | 0.614139i | \(-0.789504\pi\) |
0.495573 | + | 0.868566i | \(0.334958\pi\) | |||||||
\(168\) | −2.64882 | − | 18.4229i | −0.0157668 | − | 0.109660i | ||||
\(169\) | 34.4768 | + | 10.1233i | 0.204005 | + | 0.0599012i | ||||
\(170\) | 86.0137 | − | 33.9557i | 0.505963 | − | 0.199739i | ||||
\(171\) | −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 | \(-0.562713\pi\) |
−0.869315 | + | 0.494258i | \(0.835440\pi\) | |||||||
\(174\) | −9.91243 | + | 68.9425i | −0.0569680 | + | 0.396221i | ||||
\(175\) | 79.0264 | − | 14.4442i | 0.451579 | − | 0.0825384i | ||||
\(176\) | −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 | 0.620667 | − | 0.784074i | \(-0.286862\pi\) |
−0.455384 | + | 0.890295i | \(0.650498\pi\) | |||||||
\(180\) | −29.5296 | − | 37.9239i | −0.164054 | − | 0.210688i | ||||
\(181\) | −32.4570 | − | 110.538i | −0.179320 | − | 0.610709i | −0.999267 | − | 0.0382699i | \(-0.987815\pi\) |
0.819947 | − | 0.572439i | \(-0.194003\pi\) | |||||||
\(182\) | 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 | ||||
\(190\) | −39.0983 | + | 22.3234i | −0.205781 | + | 0.117492i | ||||
\(191\) | −85.7066 | + | 12.3227i | −0.448726 | + | 0.0645170i | −0.362973 | − | 0.931799i | \(-0.618238\pi\) |
−0.0857522 | + | 0.996316i | \(0.527329\pi\) | |||||||
\(192\) | −4.61548 | + | 15.7189i | −0.0240389 | + | 0.0818691i | ||||
\(193\) | −116.628 | − | 181.477i | −0.604291 | − | 0.940295i | −0.999762 | − | 0.0218163i | \(-0.993055\pi\) |
0.395471 | − | 0.918478i | \(-0.370581\pi\) | |||||||
\(194\) | −87.9799 | − | 12.6496i | −0.453504 | − | 0.0652041i | ||||
\(195\) | −118.988 | − | 85.5960i | −0.610193 | − | 0.438954i | ||||
\(196\) | 32.1315 | − | 70.3581i | 0.163936 | − | 0.358970i | ||||
\(197\) | −174.893 | − | 25.1457i | −0.887779 | − | 0.127643i | −0.316688 | − | 0.948530i | \(-0.602571\pi\) |
−0.571091 | + | 0.820886i | \(0.693480\pi\) | |||||||
\(198\) | −113.737 | + | 73.0940i | −0.574427 | + | 0.369162i | ||||
\(199\) | −36.5317 | + | 124.416i | −0.183576 | + | 0.625204i | 0.815354 | + | 0.578963i | \(0.196542\pi\) |
−0.998930 | + | 0.0462410i | \(0.985276\pi\) | |||||||
\(200\) | −68.5539 | − | 17.3308i | −0.342770 | − | 0.0866540i | ||||
\(201\) | −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 | ||||
\(205\) | 176.891 | − | 42.0136i | 0.862882 | − | 0.204944i | ||||
\(206\) | − | 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 | ||||
\(210\) | −4.20025 | − | 46.3410i | −0.0200012 | − | 0.220672i | ||||
\(211\) | 164.719 | − | 190.096i | 0.780660 | − | 0.900929i | −0.216497 | − | 0.976283i | \(-0.569463\pi\) |
0.997157 | + | 0.0753541i | \(0.0240087\pi\) | |||||||
\(212\) | 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 | ||||
\(215\) | 187.071 | − | 358.623i | 0.870099 | − | 1.66801i | ||||
\(216\) | −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 | ||||
\(220\) | −65.9564 | + | 187.644i | −0.299802 | + | 0.852928i | ||||
\(221\) | 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 | \(-0.335565\pi\) |
0.718879 | + | 0.695135i | \(0.244655\pi\) | |||||||
\(224\) | 13.7379 | − | 11.9040i | 0.0613300 | − | 0.0531427i | ||||
\(225\) | −68.7561 | − | 98.5468i | −0.305583 | − | 0.437986i | ||||
\(226\) | 223.468 | + | 193.636i | 0.988796 | + | 0.856797i | ||||
\(227\) | −251.363 | + | 73.8069i | −1.10733 | + | 0.325140i | −0.783759 | − | 0.621065i | \(-0.786700\pi\) |
−0.323567 | + | 0.946205i | \(0.604882\pi\) | |||||||
\(228\) | 10.8329 | + | 23.7208i | 0.0475127 | + | 0.104038i | ||||
\(229\) | 368.522i | 1.60927i | 0.593771 | + | 0.804634i | \(0.297639\pi\) | ||||
−0.593771 | + | 0.804634i | \(0.702361\pi\) | |||||||
\(230\) | −7.94131 | + | 162.441i | −0.0345274 | + | 0.706263i | ||||
\(231\) | −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 | \(-0.00969387\pi\) |
−0.857326 | + | 0.514774i | \(0.827876\pi\) | |||||||
\(234\) | 63.7230 | − | 73.5402i | 0.272320 | − | 0.314274i | ||||
\(235\) | 222.602 | + | 214.304i | 0.947242 | + | 0.911931i | ||||
\(236\) | 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 | −0.879417 | − | 0.476053i | \(-0.842067\pi\) |
0.0677100 | + | 0.997705i | \(0.478431\pi\) | |||||||
\(240\) | −13.5814 | + | 38.6388i | −0.0565893 | + | 0.160995i | ||||
\(241\) | 48.3705 | + | 22.0901i | 0.200708 | + | 0.0916601i | 0.513233 | − | 0.858249i | \(-0.328448\pi\) |
−0.312525 | + | 0.949909i | \(0.601175\pi\) | |||||||
\(242\) | 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 | ||||
\(245\) | 89.4326 | − | 171.446i | 0.365031 | − | 0.699778i | ||||
\(246\) | −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 | ||||
\(250\) | −168.880 | − | 52.2455i | −0.675519 | − | 0.208982i | ||||
\(251\) | −180.001 | + | 82.2038i | −0.717136 | + | 0.327505i | −0.740347 | − | 0.672225i | \(-0.765339\pi\) |
0.0232102 | + | 0.999731i | \(0.492611\pi\) | |||||||
\(252\) | 30.8905 | 0.122581 | ||||||||
\(253\) | 453.039 | + | 63.4917i | 1.79067 | + | 0.250955i | ||||
\(254\) | 6.95999 | 0.0274015 | ||||||||
\(255\) | −30.9428 | − | 130.279i | −0.121344 | − | 0.510899i | ||||
\(256\) | −15.3519 | + | 4.50772i | −0.0599683 | + | 0.0176083i | ||||
\(257\) | −166.414 | − | 144.199i | −0.647527 | − | 0.561085i | 0.267962 | − | 0.963430i | \(-0.413650\pi\) |
−0.915488 | + | 0.402345i | \(0.868195\pi\) | |||||||
\(258\) | −197.088 | − | 126.661i | −0.763909 | − | 0.490934i | ||||
\(259\) | −59.5375 | − | 68.7100i | −0.229875 | − | 0.265289i | ||||
\(260\) | 7.49913 | − | 142.958i | 0.0288428 | − | 0.549838i | ||||
\(261\) | −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 | −0.929316 | − | 0.369287i | \(-0.879602\pi\) |
0.995712 | − | 0.0925094i | \(-0.0294888\pi\) | |||||||
\(264\) | 104.793 | + | 47.8573i | 0.396942 | + | 0.181278i | ||||
\(265\) | 310.317 | + | 223.233i | 1.17101 | + | 0.842388i | ||||
\(266\) | 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 | 0.996432 | + | 0.0843982i | \(0.0268968\pi\) |
−0.932292 | + | 0.361707i | \(0.882194\pi\) | |||||||
\(270\) | −173.615 | + | 99.1265i | −0.643018 | + | 0.367135i | ||||
\(271\) | 82.8606 | + | 53.2513i | 0.305759 | + | 0.196499i | 0.684518 | − | 0.728996i | \(-0.260013\pi\) |
−0.378759 | + | 0.925495i | \(0.623649\pi\) | |||||||
\(272\) | 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 | ||||
\(280\) | 35.8566 | − | 27.9199i | 0.128059 | − | 0.0997140i | ||||
\(281\) | 51.5114 | − | 80.1534i | 0.183315 | − | 0.285243i | −0.737418 | − | 0.675436i | \(-0.763955\pi\) |
0.920733 | + | 0.390193i | \(0.127592\pi\) | |||||||
\(282\) | 135.258 | − | 117.202i | 0.479639 | − | 0.415609i | ||||
\(283\) | 67.0421 | + | 466.288i | 0.236898 | + | 1.64766i | 0.667128 | + | 0.744943i | \(0.267523\pi\) |
−0.430230 | + | 0.902719i | \(0.641568\pi\) | |||||||
\(284\) | 202.844 | + | 59.5604i | 0.714239 | + | 0.209720i | ||||
\(285\) | 23.9386 | + | 60.6392i | 0.0839949 | + | 0.212769i | ||||
\(286\) | −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 | ||||
\(290\) | −158.183 | + | 62.4462i | −0.545460 | + | 0.215332i | ||||
\(291\) | −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 | \(-0.176598\pi\) |
−0.642379 | + | 0.766387i | \(0.722053\pi\) | |||||||
\(294\) | −94.2214 | − | 60.5524i | −0.320481 | − | 0.205961i | ||||
\(295\) | 158.318 | + | 203.322i | 0.536671 | + | 0.689228i | ||||
\(296\) | 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 | ||||
\(305\) | 130.744 | + | 228.992i | 0.428670 | + | 0.750794i | ||||
\(306\) | 87.9896 | − | 12.6510i | 0.287548 | − | 0.0413431i | ||||
\(307\) | 6.11735 | − | 20.8338i | 0.0199262 | − | 0.0678625i | −0.948930 | − | 0.315488i | \(-0.897832\pi\) |
0.968856 | + | 0.247625i | \(0.0796501\pi\) | |||||||
\(308\) | −69.1095 | − | 107.536i | −0.224382 | − | 0.349144i | ||||
\(309\) | −185.380 | − | 26.6536i | −0.599934 | − | 0.0862575i | ||||
\(310\) | 216.233 | − | 300.587i | 0.697527 | − | 0.969637i | ||||
\(311\) | 116.643 | − | 255.412i | 0.375056 | − | 0.821259i | −0.624145 | − | 0.781308i | \(-0.714553\pi\) |
0.999202 | − | 0.0399507i | \(-0.0127201\pi\) | |||||||
\(312\) | −82.0723 | − | 11.8002i | −0.263052 | − | 0.0378212i | ||||
\(313\) | −293.941 | + | 188.904i | −0.939108 | + | 0.603528i | −0.918142 | − | 0.396252i | \(-0.870311\pi\) |
−0.0209665 | + | 0.999780i | \(0.506674\pi\) | |||||||
\(314\) | 4.21431 | − | 14.3526i | 0.0134214 | − | 0.0457090i | ||||
\(315\) | 77.1202 | + | 4.04548i | 0.244826 | + | 0.0128428i | ||||
\(316\) | 24.1882 | − | 20.9592i | 0.0765450 | − | 0.0663267i | ||||
\(317\) | 276.143 | − | 429.688i | 0.871115 | − | 1.35548i | −0.0628151 | − | 0.998025i | \(-0.520008\pi\) |
0.933930 | − | 0.357456i | \(-0.116356\pi\) | |||||||
\(318\) | 144.995 | − | 167.333i | 0.455959 | − | 0.526204i | ||||
\(319\) | 134.770 | + | 458.985i | 0.422477 | + | 1.43882i | ||||
\(320\) | −38.9174 | + | 9.24331i | −0.121617 | + | 0.0288854i | ||||
\(321\) | 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 | ||||
\(325\) | 37.4442 | − | 355.922i | 0.115213 | − | 1.09515i | ||||
\(326\) | −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 | ||||
\(330\) | 255.355 | + | 133.203i | 0.773803 | + | 0.403645i | ||||
\(331\) | −144.875 | + | 93.1055i | −0.437689 | + | 0.281285i | −0.740871 | − | 0.671647i | \(-0.765587\pi\) |
0.303183 | + | 0.952932i | \(0.401951\pi\) | |||||||
\(332\) | −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 | ||||
\(335\) | −320.895 | − | 112.794i | −0.957894 | − | 0.336697i | ||||
\(336\) | −14.2307 | − | 22.1434i | −0.0423533 | − | 0.0659030i | ||||
\(337\) | −349.281 | − | 102.558i | −1.03644 | − | 0.304327i | −0.281115 | − | 0.959674i | \(-0.590704\pi\) |
−0.755328 | + | 0.655347i | \(0.772522\pi\) | |||||||
\(338\) | 50.2987 | − | 7.23186i | 0.148813 | − | 0.0213960i | ||||
\(339\) | 323.586 | − | 280.389i | 0.954531 | − | 0.827106i | ||||
\(340\) | 90.7008 | − | 94.2129i | 0.266767 | − | 0.277097i | ||||
\(341\) | −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 | ||||||
\(345\) | 231.186 | + | 44.8570i | 0.670106 | + | 0.130020i | ||||
\(346\) | −286.464 | −0.827930 | ||||||||
\(347\) | 108.273 | − | 49.4466i | 0.312026 | − | 0.142497i | −0.253247 | − | 0.967402i | \(-0.581498\pi\) |
0.565272 | + | 0.824904i | \(0.308771\pi\) | |||||||
\(348\) | 27.7512 | + | 94.5120i | 0.0797449 | + | 0.271586i | ||||
\(349\) | 232.662 | − | 268.506i | 0.666652 | − | 0.769357i | −0.317197 | − | 0.948360i | \(-0.602742\pi\) |
0.983849 | + | 0.179002i | \(0.0572870\pi\) | |||||||
\(350\) | 93.1748 | − | 65.0081i | 0.266214 | − | 0.185737i | ||||
\(351\) | −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 | 0.812041 | + | 0.583600i | \(0.198357\pi\) |
−0.998651 | + | 0.0519333i | \(0.983462\pi\) | |||||||
\(354\) | 125.563 | − | 80.6942i | 0.354697 | − | 0.227950i | ||||
\(355\) | 498.613 | + | 175.261i | 1.40454 | + | 0.493694i | ||||
\(356\) | −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 | 0.886389 | − | 0.462940i | \(-0.153206\pi\) |
−0.789325 | + | 0.613976i | \(0.789569\pi\) | |||||||
\(360\) | −60.2671 | − | 31.4376i | −0.167409 | − | 0.0873267i | ||||
\(361\) | −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 | ||||
\(365\) | 110.327 | − | 9.99979i | 0.302266 | − | 0.0273967i | ||||
\(366\) | 138.928 | − | 63.4465i | 0.379586 | − | 0.173351i | ||||
\(367\) | −482.864 | −1.31570 | −0.657852 | − | 0.753147i | \(-0.728535\pi\) | ||||
−0.657852 | + | 0.753147i | \(0.728535\pi\) | |||||||
\(368\) | 38.5159 | + | 83.5495i | 0.104663 | + | 0.227037i | ||||
\(369\) | 174.775 | 0.473644 | ||||||||
\(370\) | 46.2303 | + | 194.645i | 0.124947 | + | 0.526067i | ||||
\(371\) | −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 | \(-0.285425\pi\) |
−0.451360 | + | 0.892342i | \(0.649061\pi\) | |||||||
\(374\) | −240.895 | − | 278.008i | −0.644104 | − | 0.743336i | ||||
\(375\) | −109.684 | + | 231.286i | −0.292492 | + | 0.616762i | ||||
\(376\) | 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 | 0.534839 | − | 0.844954i | \(-0.320372\pi\) |
−0.288329 | + | 0.957531i | \(0.593100\pi\) | |||||||
\(380\) | −37.1819 | + | 51.6868i | −0.0978472 | + | 0.136018i | ||||
\(381\) | 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 | \(-0.399849\pi\) |
−0.253760 | + | 0.967267i | \(0.581667\pi\) | |||||||
\(384\) | 3.29720 | + | 22.9325i | 0.00858645 | + | 0.0597200i | ||||
\(385\) | −158.453 | − | 277.523i | −0.411567 | − | 0.720839i | ||||
\(386\) | −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 | 0.677012 | − | 0.735972i | \(-0.263274\pi\) |
0.999559 | − | 0.0296924i | \(-0.00945278\pi\) | |||||||
\(390\) | −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 | ||||
\(395\) | 63.1324 | − | 49.1584i | 0.159829 | − | 0.124452i | ||||
\(396\) | −103.371 | + | 160.848i | −0.261037 | + | 0.406181i | ||||
\(397\) | 464.244 | − | 402.270i | 1.16938 | − | 1.01327i | 0.169766 | − | 0.985484i | \(-0.445699\pi\) |
0.999614 | − | 0.0277891i | \(-0.00884669\pi\) | |||||||
\(398\) | 26.0975 | + | 181.512i | 0.0655715 | + | 0.456060i | ||||
\(399\) | −40.2015 | − | 11.8042i | −0.100756 | − | 0.0295845i | ||||
\(400\) | −98.3703 | + | 17.9799i | −0.245926 | + | 0.0449496i | ||||
\(401\) | 375.774 | + | 54.0281i | 0.937091 | + | 0.134733i | 0.593906 | − | 0.804534i | \(-0.297585\pi\) |
0.343185 | + | 0.939268i | \(0.388494\pi\) | |||||||
\(402\) | −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 | ||||
\(405\) | 26.8776 | + | 68.0842i | 0.0663645 | + | 0.168109i | ||||
\(406\) | 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 | −0.0389955 | − | 0.999239i | \(-0.512416\pi\) |
−0.925139 | + | 0.379627i | \(0.876052\pi\) | |||||||
\(410\) | 202.872 | − | 157.968i | 0.494811 | − | 0.385287i | ||||
\(411\) | −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 | −0.809774 | − | 0.586742i | \(-0.800410\pi\) |
0.870111 | + | 0.492855i | \(0.164047\pi\) | |||||||
\(420\) | −32.6279 | − | 57.1462i | −0.0776856 | − | 0.136062i | ||||
\(421\) | −99.9189 | + | 14.3662i | −0.237337 | + | 0.0341239i | −0.259957 | − | 0.965620i | \(-0.583708\pi\) |
0.0226199 | + | 0.999744i | \(0.492799\pi\) | |||||||
\(422\) | 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 | ||||
\(425\) | 238.779 | − | 223.331i | 0.561833 | − | 0.525484i | ||||
\(426\) | 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 | ||||
\(430\) | 29.9654 | − | 571.239i | 0.0696870 | − | 1.32846i | ||||
\(431\) | 172.177 | − | 149.192i | 0.399482 | − | 0.346153i | −0.431834 | − | 0.901953i | \(-0.642133\pi\) |
0.831316 | + | 0.555800i | \(0.187588\pi\) | |||||||
\(432\) | −61.1422 | + | 95.1392i | −0.141533 | + | 0.220230i | ||||
\(433\) | −85.5046 | + | 98.6775i | −0.197470 | + | 0.227893i | −0.845845 | − | 0.533428i | \(-0.820903\pi\) |
0.648375 | + | 0.761321i | \(0.275449\pi\) | |||||||
\(434\) | 67.0453 | + | 228.335i | 0.154482 | + | 0.526119i | ||||
\(435\) | 56.9053 | + | 239.590i | 0.130817 | + | 0.550781i | ||||
\(436\) | 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 | −0.996749 | − | 0.0805691i | \(-0.974326\pi\) |
0.591842 | − | 0.806054i | \(-0.298401\pi\) | |||||||
\(440\) | 25.3910 | + | 280.136i | 0.0577067 | + | 0.636674i | ||||
\(441\) | 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 | \(-0.560418\pi\) |
0.945194 | + | 0.326509i | \(0.105872\pi\) | |||||||
\(444\) | 114.697 | − | 16.4909i | 0.258326 | − | 0.0371416i | ||||
\(445\) | −650.665 | − | 339.411i | −1.46217 | − | 0.762722i | ||||
\(446\) | 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 | −0.927730 | − | 0.373251i | \(-0.878243\pi\) |
0.889619 | + | 0.456704i | \(0.150970\pi\) | |||||||
\(450\) | −146.344 | − | 86.3788i | −0.325208 | − | 0.191953i | ||||
\(451\) | −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 | ||||
\(455\) | 165.699 | + | 159.522i | 0.364175 | + | 0.350599i | ||||
\(456\) | 27.8712 | + | 24.1505i | 0.0611211 | + | 0.0529617i | ||||
\(457\) | −455.702 | + | 133.806i | −0.997159 | + | 0.292792i | −0.739290 | − | 0.673388i | \(-0.764839\pi\) |
−0.257869 | + | 0.966180i | \(0.583020\pi\) | |||||||
\(458\) | 216.502 | + | 474.072i | 0.472711 | + | 1.03509i | ||||
\(459\) | − | 369.747i | − | 0.805549i | ||||||
\(460\) | 85.2157 | + | 213.631i | 0.185251 | + | 0.464416i | ||||
\(461\) | 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 | \(-0.143512\pi\) |
−0.992767 | + | 0.120053i | \(0.961693\pi\) | |||||||
\(464\) | −62.9991 | + | 72.7049i | −0.135774 | + | 0.156691i | ||||
\(465\) | −386.266 | − | 371.866i | −0.830679 | − | 0.799713i | ||||
\(466\) | 108.922 | + | 125.702i | 0.233738 | + | 0.269748i | ||||
\(467\) | −37.7941 | − | 262.864i | −0.0809295 | − | 0.562877i | −0.989432 | − | 0.144998i | \(-0.953683\pi\) |
0.908502 | − | 0.417879i | \(-0.137227\pi\) | |||||||
\(468\) | 38.7703 | − | 132.039i | 0.0828425 | − | 0.282136i | ||||
\(469\) | 183.901 | − | 118.186i | 0.392112 | − | 0.251995i | ||||
\(470\) | 412.259 | + | 144.908i | 0.877146 | + | 0.308314i | ||||
\(471\) | −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 | ||||
\(475\) | −99.5962 | + | 124.170i | −0.209676 | + | 0.261411i | ||||
\(476\) | 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 | 0.637837 | − | 0.770171i | \(-0.279829\pi\) |
−0.671558 | + | 0.740952i | \(0.734375\pi\) | |||||||
\(480\) | 5.22838 | + | 57.6843i | 0.0108925 | + | 0.120176i | ||||
\(481\) | −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 | ||||||||
\(485\) | −305.749 | + | 72.6188i | −0.630410 | + | 0.149729i | ||||
\(486\) | −304.601 | + | 89.4389i | −0.626751 | + | 0.184031i | ||||
\(487\) | 295.379 | + | 255.948i | 0.606529 | + | 0.525560i | 0.903089 | − | 0.429454i | \(-0.141294\pi\) |
−0.296560 | + | 0.955014i | \(0.595840\pi\) | |||||||
\(488\) | 125.485 | + | 80.6445i | 0.257142 | + | 0.165255i | ||||
\(489\) | 304.250 | + | 351.123i | 0.622189 | + | 0.718044i | ||||
\(490\) | 14.3255 | − | 273.090i | 0.0292356 | − | 0.557327i | ||||
\(491\) | 715.557 | + | 210.107i | 1.45735 | + | 0.427915i | 0.911963 | − | 0.410272i | \(-0.134566\pi\) |
0.545383 | + | 0.838187i | \(0.316384\pi\) | |||||||
\(492\) | −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 | ||||
\(495\) | −279.137 | + | 388.030i | −0.563912 | + | 0.783898i | ||||
\(496\) | 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 | 0.966639 | + | 0.256142i | \(0.0824515\pi\) |
−0.855320 | + | 0.518100i | \(0.826639\pi\) | |||||||
\(500\) | −247.943 | + | 32.0051i | −0.495886 | + | 0.0640103i | ||||
\(501\) | 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 | \(-0.617259\pi\) |
0.201432 | + | 0.979503i | \(0.435441\pi\) | |||||||
\(504\) | 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 | −0.267622 | − | 0.963524i | \(-0.586238\pi\) |
0.295782 | + | 0.955255i | \(0.404420\pi\) | |||||||
\(510\) | −116.342 | − | 149.415i | −0.228122 | − | 0.292970i | ||||
\(511\) | −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 | ||||
\(515\) | −167.912 | − | 425.340i | −0.326042 | − | 0.825902i | ||||
\(516\) | −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 | ||||
\(520\) | −74.3388 | − | 188.309i | −0.142959 | − | 0.362132i | ||||
\(521\) | −15.7378 | + | 53.5980i | −0.0302069 | + | 0.102875i | −0.973217 | − | 0.229890i | \(-0.926163\pi\) |
0.943010 | + | 0.332765i | \(0.107982\pi\) | |||||||
\(522\) | −161.817 | + | 23.2658i | −0.309994 | + | 0.0445705i | ||||
\(523\) | 78.6175 | + | 90.7294i | 0.150320 | + | 0.173479i | 0.825916 | − | 0.563794i | \(-0.190659\pi\) |
−0.675595 | + | 0.737273i | \(0.736113\pi\) | |||||||
\(524\) | −370.038 | − | 237.809i | −0.706179 | − | 0.453834i | ||||
\(525\) | −73.9739 | − | 146.942i | −0.140903 | − | 0.279890i | ||||
\(526\) | −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 | ||||
\(535\) | −433.052 | + | 247.254i | −0.809443 | + | 0.462157i | ||||
\(536\) | −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 | ||||
\(540\) | −165.105 | + | 229.514i | −0.305751 | + | 0.425026i | ||||
\(541\) | −226.777 | + | 496.572i | −0.419181 | + | 0.917878i | 0.575779 | + | 0.817605i | \(0.304699\pi\) |
−0.994960 | + | 0.100273i | \(0.968029\pi\) | |||||||
\(542\) | 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 | ||||
\(545\) | −10.6290 | + | 202.623i | −0.0195027 | + | 0.371786i | ||||
\(546\) | 100.683 | − | 87.2422i | 0.184401 | − | 0.159784i | ||||
\(547\) | −390.179 | + | 607.131i | −0.713308 | + | 1.10993i | 0.275582 | + | 0.961278i | \(0.411129\pi\) |
−0.988890 | + | 0.148651i | \(0.952507\pi\) | |||||||
\(548\) | 93.0794 | − | 107.419i | 0.169853 | − | 0.196021i | ||||
\(549\) | 71.4142 | + | 243.215i | 0.130081 | + | 0.443014i | ||||
\(550\) | 26.7030 | + | 702.705i | 0.0485509 | + | 1.27765i | ||||
\(551\) | 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 | ||||
\(555\) | 288.507 | − | 26.1497i | 0.519833 | − | 0.0471166i | ||||
\(556\) | 97.6939 | − | 112.745i | 0.175709 | − | 0.202778i | ||||
\(557\) | −913.492 | − | 587.066i | −1.64002 | − | 1.05398i | −0.940738 | − | 0.339135i | \(-0.889866\pi\) |
−0.699285 | − | 0.714843i | \(-0.746498\pi\) | |||||||
\(558\) | 269.010 | − | 233.099i | 0.482097 | − | 0.417739i | ||||
\(559\) | 1146.28 | − | 164.811i | 2.05060 | − | 0.294831i | ||||
\(560\) | 29.7239 | − | 56.9818i | 0.0530783 | − | 0.101753i | ||||
\(561\) | −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 | −0.230382 | − | 0.973100i | \(-0.573998\pi\) |
0.886288 | − | 0.463134i | \(-0.153275\pi\) | |||||||
\(564\) | 105.144 | − | 230.232i | 0.186425 | − | 0.408213i | ||||
\(565\) | 986.270 | + | 346.671i | 1.74561 | + | 0.613578i | ||||
\(566\) | 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 | −0.383267 | + | 0.923638i | \(0.625201\pi\) |
−0.968781 | + | 0.247918i | \(0.920254\pi\) | |||||||
\(570\) | 66.4195 | + | 63.9435i | 0.116525 | + | 0.112182i | ||||
\(571\) | −612.289 | − | 530.552i | −1.07231 | − | 0.929163i | −0.0746288 | − | 0.997211i | \(-0.523777\pi\) |
−0.997682 | + | 0.0680488i | \(0.978323\pi\) | |||||||
\(572\) | −546.397 | + | 160.437i | −0.955239 | + | 0.280484i | ||||
\(573\) | 73.6596 | + | 161.292i | 0.128551 | + | 0.281487i | ||||
\(574\) | 165.247i | 0.287887i | ||||||||
\(575\) | 184.769 | + | 544.505i | 0.321338 | + | 0.946965i | ||||
\(576\) | −38.4518 | −0.0667566 | ||||||||
\(577\) | −323.706 | + | 147.832i | −0.561016 | + | 0.256207i | −0.675678 | − | 0.737197i | \(-0.736149\pi\) |
0.114662 | + | 0.993405i | \(0.463422\pi\) | |||||||
\(578\) | −47.0040 | − | 160.081i | −0.0813217 | − | 0.276956i | ||||
\(579\) | −289.290 | + | 333.858i | −0.499637 | + | 0.576611i | ||||
\(580\) | −166.803 | + | 173.262i | −0.287592 | + | 0.298728i | ||||
\(581\) | −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 | ||||
\(585\) | 114.085 | − | 324.568i | 0.195017 | − | 0.554817i | ||||
\(586\) | 119.504 | + | 54.5757i | 0.203932 | + | 0.0931326i | ||||
\(587\) | 709.871 | + | 324.187i | 1.20932 | + | 0.552278i | 0.915010 | − | 0.403432i | \(-0.132183\pi\) |
0.294311 | + | 0.955710i | \(0.404910\pi\) | |||||||
\(588\) | −156.781 | − | 22.5418i | −0.266635 | − | 0.0383363i | ||||
\(589\) | −180.261 | − | 280.491i | −0.306045 | − | 0.476216i | ||||
\(590\) | 323.111 | + | 168.547i | 0.547646 | + | 0.285673i | ||||
\(591\) | 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 | \(-0.962577\pi\) |
0.519244 | + | 0.854626i | \(0.326214\pi\) | |||||||
\(594\) | 601.031 | + | 520.796i | 1.01184 | + | 0.876761i | ||||
\(595\) | 18.9672 | + | 209.264i | 0.0318776 | + | 0.351703i | ||||
\(596\) | −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 | \(0.655996\pi\) | |||||||
\(600\) | 5.49855 | + | 144.698i | 0.00916425 | + | 0.241163i | ||||
\(601\) | −482.617 | + | 141.709i | −0.803024 | + | 0.235789i | −0.657391 | − | 0.753550i | \(-0.728340\pi\) |
−0.145633 | + | 0.989339i | \(0.546522\pi\) | |||||||
\(602\) | 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 | ||||
\(605\) | 1371.14 | + | 71.9258i | 2.26635 | + | 0.118886i | ||||
\(606\) | −72.9658 | − | 21.4247i | −0.120406 | − | 0.0353543i | ||||
\(607\) | −348.692 | − | 542.575i | −0.574451 | − | 0.893863i | 0.425487 | − | 0.904964i | \(-0.360103\pi\) |
−0.999938 | + | 0.0111011i | \(0.996466\pi\) | |||||||
\(608\) | −5.12588 | + | 35.6513i | −0.00843072 | + | 0.0586370i | ||||
\(609\) | −143.962 | − | 65.7453i | −0.236391 | − | 0.107956i | ||||
\(610\) | 302.721 | + | 217.768i | 0.496264 | + | 0.356997i | ||||
\(611\) | −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 | \(-0.443095\pi\) |
−0.382432 | + | 0.923983i | \(0.624914\pi\) | |||||||
\(614\) | −4.37010 | − | 30.3947i | −0.00711743 | − | 0.0495028i | ||||
\(615\) | −184.605 | − | 323.326i | −0.300171 | − | 0.525734i | ||||
\(616\) | −152.080 | − | 97.7356i | −0.246882 | − | 0.158662i | ||||
\(617\) | 108.173 | − | 124.839i | 0.175321 | − | 0.202332i | −0.661287 | − | 0.750133i | \(-0.729989\pi\) |
0.836609 | + | 0.547801i | \(0.184535\pi\) | |||||||
\(618\) | −254.133 | + | 74.6203i | −0.411219 | + | 0.120745i | ||||
\(619\) | 223.792 | − | 102.202i | 0.361537 | − | 0.165109i | −0.226361 | − | 0.974044i | \(-0.572683\pi\) |
0.587898 | + | 0.808935i | \(0.299956\pi\) | |||||||
\(620\) | 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 | ||||
\(625\) | −623.198 | + | 47.4319i | −0.997116 | + | 0.0758910i | ||||
\(626\) | −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 | ||||
\(630\) | 101.585 | − | 40.1028i | 0.161246 | − | 0.0636553i | ||||
\(631\) | 140.745 | + | 20.2361i | 0.223051 | + | 0.0320699i | 0.252934 | − | 0.967484i | \(-0.418604\pi\) |
−0.0298832 | + | 0.999553i | \(0.509514\pi\) | |||||||
\(632\) | 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 | ||||
\(635\) | 22.8883 | − | 9.03563i | 0.0360446 | − | 0.0142293i | ||||
\(636\) | 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 | ||||
\(640\) | −44.6335 | + | 34.7541i | −0.0697399 | + | 0.0543033i | ||||
\(641\) | 60.7964 | + | 207.053i | 0.0948461 | + | 0.323016i | 0.993225 | − | 0.116204i | \(-0.0370728\pi\) |
−0.898379 | + | 0.439221i | \(0.855255\pi\) | |||||||
\(642\) | 119.985 | + | 262.731i | 0.186893 | + | 0.409238i | ||||
\(643\) | 0.549470 | 0.000854541 | 0.000427271 | − | 1.00000i | \(-0.499864\pi\) | ||||
0.000427271 | 1.00000i | \(0.499864\pi\) | ||||||||
\(644\) | −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 | \(-0.0845575\pi\) |
−0.953681 | + | 0.300821i | \(0.902739\pi\) | |||||||
\(648\) | 31.2931 | + | 27.1156i | 0.0482918 | + | 0.0418451i | ||||
\(649\) | 554.203 | − | 862.357i | 0.853934 | − | 1.32875i | ||||
\(650\) | −160.930 | − | 479.861i | −0.247585 | − | 0.738248i | ||||
\(651\) | 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 | \(-0.191295\pi\) |
−0.856975 | + | 0.515358i | \(0.827659\pi\) | |||||||
\(654\) | 116.326 | + | 16.7252i | 0.177869 | + | 0.0255737i | ||||
\(655\) | −892.680 | − | 642.167i | −1.36287 | − | 0.980407i | ||||
\(656\) | 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 | −0.942354 | − | 0.334618i | \(-0.891393\pi\) |
0.973667 | + | 0.227976i | \(0.0732107\pi\) | |||||||
\(660\) | 406.747 | + | 21.3367i | 0.616283 | + | 0.0323283i | ||||
\(661\) | 448.188 | − | 388.357i | 0.678046 | − | 0.587530i | −0.246250 | − | 0.969206i | \(-0.579199\pi\) |
0.924296 | + | 0.381676i | \(0.124653\pi\) | |||||||
\(662\) | −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 | ||||
\(665\) | −23.6401 | − | 99.5324i | −0.0355490 | − | 0.149673i | ||||
\(666\) | 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 | ||||
\(670\) | −479.068 | + | 43.4217i | −0.715027 | + | 0.0648085i | ||||
\(671\) | 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 | \(-0.895923\pi\) |
0.183128 | + | 0.983089i | \(0.441378\pi\) | |||||||
\(674\) | −509.572 | + | 73.2654i | −0.756041 | + | 0.108702i | ||||
\(675\) | −442.254 | + | 551.375i | −0.655191 | + | 0.816851i | ||||
\(676\) | 60.4563 | − | 38.8529i | 0.0894324 | − | 0.0574747i | ||||
\(677\) | 20.8122 | − | 144.752i | 0.0307418 | − | 0.213814i | −0.968660 | − | 0.248389i | \(-0.920099\pi\) |
0.999402 | + | 0.0345754i | \(0.0110079\pi\) | |||||||
\(678\) | 251.541 | − | 550.798i | 0.371005 | − | 0.812387i | ||||
\(679\) | 83.8999 | − | 183.715i | 0.123564 | − | 0.270567i | ||||
\(680\) | 61.3300 | − | 174.482i | 0.0901912 | − | 0.256591i | ||||
\(681\) | 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 | \(-0.333704\pi\) |
0.722929 | + | 0.690922i | \(0.242795\pi\) | |||||||
\(684\) | −46.2571 | + | 40.0820i | −0.0676273 | + | 0.0585994i | ||||
\(685\) | 246.447 | − | 255.990i | 0.359776 | − | 0.373708i | ||||
\(686\) | 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 | ||||||||
\(690\) | 323.754 | − | 78.1140i | 0.469209 | − | 0.113209i | ||||
\(691\) | 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 | ||||
\(695\) | 258.665 | − | 268.681i | 0.372180 | − | 0.386591i | ||||
\(696\) | 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 | ||||
\(700\) | 81.6701 | − | 138.366i | 0.116672 | − | 0.197666i | ||||
\(701\) | 878.638 | + | 401.260i | 1.25341 | + | 0.572411i | 0.927794 | − | 0.373092i | \(-0.121703\pi\) |
0.325612 | + | 0.945504i | \(0.394430\pi\) | |||||||
\(702\) | −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 | ||||
\(705\) | 292.650 | − | 561.021i | 0.415106 | − | 0.795774i | ||||
\(706\) | 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 | 0.183724 | − | 0.982978i | \(-0.441185\pi\) |
−0.946826 | + | 0.321746i | \(0.895730\pi\) | |||||||
\(710\) | 744.387 | − | 67.4696i | 1.04843 | − | 0.0950276i | ||||
\(711\) | 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 | ||||||||
\(715\) | −1385.13 | + | 328.984i | −1.93724 | + | 0.460117i | ||||
\(716\) | 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 | −0.972760 | − | 0.231813i | \(-0.925534\pi\) |
−0.0910157 | − | 0.995849i | \(-0.529011\pi\) | |||||||
\(720\) | −95.9975 | − | 5.03573i | −0.133330 | − | 0.00699407i | ||||
\(721\) | 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 | ||||
\(725\) | −439.126 | + | 410.716i | −0.605691 | + | 0.566504i | ||||
\(726\) | 113.179 | − | 787.174i | 0.155893 | − | 1.08426i | ||||
\(727\) | 17.0437 | − | 10.9533i | 0.0234439 | − | 0.0150665i | −0.528866 | − | 0.848705i | \(-0.677383\pi\) |
0.552310 | + | 0.833639i | \(0.313746\pi\) | |||||||
\(728\) | 124.842 | + | 36.6568i | 0.171486 | + | 0.0503528i | ||||
\(729\) | 84.1713 | + | 585.424i | 0.115461 | + | 0.803051i | ||||
\(730\) | 136.051 | − | 77.6793i | 0.186372 | − | 0.106410i | ||||
\(731\) | 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 | \(-0.856398\pi\) |
−0.521373 | + | 0.853329i | \(0.674580\pi\) | |||||||
\(734\) | −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 | −0.0468025 | − | 0.998904i | \(-0.514903\pi\) |
0.500676 | + | 0.865635i | \(0.333085\pi\) | |||||||
\(740\) | 173.822 | + | 223.234i | 0.234895 | + | 0.301667i | ||||
\(741\) | −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 | −0.999844 | − | 0.0176643i | \(-0.994377\pi\) |
0.954367 | − | 0.298637i | \(-0.0965321\pi\) | |||||||
\(744\) | −291.022 | − | 85.4516i | −0.391158 | − | 0.114854i | ||||
\(745\) | −716.502 | + | 282.854i | −0.961747 | + | 0.379670i | ||||
\(746\) | 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 | ||||
\(750\) | −5.22238 | + | 361.967i | −0.00696318 | + | 0.482623i | ||||
\(751\) | −168.979 | + | 575.489i | −0.225005 | + | 0.766296i | 0.767170 | + | 0.641443i | \(0.221664\pi\) |
−0.992175 | + | 0.124853i | \(0.960154\pi\) | |||||||
\(752\) | 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 | ||||
\(755\) | 94.8898 | + | 121.864i | 0.125682 | + | 0.161409i | ||||
\(756\) | −51.1926 | − | 174.346i | −0.0677151 | − | 0.230616i | ||||
\(757\) | 1.07299 | + | 2.34952i | 0.00141742 | + | 0.00310372i | 0.910339 | − | 0.413863i | \(-0.135821\pi\) |
−0.908922 | + | 0.416966i | \(0.863093\pi\) | |||||||
\(758\) | 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 | 0.656975 | − | 0.753912i | \(-0.271836\pi\) |
−0.999996 | + | 0.00280086i | \(0.999108\pi\) | |||||||
\(762\) | −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 | ||||
\(765\) | 272.935 | − | 155.834i | 0.356778 | − | 0.203704i | ||||
\(766\) | 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 | 0.568885 | − | 0.822417i | \(-0.307375\pi\) |
0.314139 | + | 0.949377i | \(0.398284\pi\) | |||||||
\(770\) | −366.877 | − | 263.920i | −0.476464 | − | 0.342753i | ||||
\(771\) | −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 | \(-0.971495\pi\) |
−0.332402 | + | 0.943138i | \(0.607859\pi\) | |||||||
\(774\) | 154.920 | − | 527.611i | 0.200156 | − | 0.681667i | ||||
\(775\) | 320.865 | − | 1269.22i | 0.414020 | − | 1.63770i | ||||
\(776\) | −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 | ||||
\(780\) | −285.219 | + | 67.7427i | −0.365665 | + | 0.0868496i | ||||
\(781\) | − | 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 | ||||
\(785\) | −4.77395 | − | 52.6706i | −0.00608146 | − | 0.0670963i | ||||
\(786\) | −417.102 | + | 481.362i | −0.530665 | + | 0.612420i | ||||
\(787\) | 114.139 | + | 73.3524i | 0.145030 | + | 0.0932051i | 0.611144 | − | 0.791520i | \(-0.290710\pi\) |
−0.466114 | + | 0.884725i | \(0.654346\pi\) | |||||||
\(788\) | −267.068 | + | 231.416i | −0.338919 | + | 0.293675i | ||||
\(789\) | −248.711 | + | 35.7593i | −0.315223 | + | 0.0453223i | ||||
\(790\) | 52.3346 | − | 100.327i | 0.0662463 | − | 0.126997i | ||||
\(791\) | −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 | ||||
\(795\) | 259.588 | − | 738.520i | 0.326526 | − | 0.928956i | ||||
\(796\) | 140.208 | + | 218.167i | 0.176140 | + | 0.274080i | ||||
\(797\) | 883.892 | + | 259.534i | 1.10902 | + | 0.325639i | 0.784432 | − | 0.620215i | \(-0.212955\pi\) |
0.324592 | + | 0.945854i | \(0.394773\pi\) | |||||||
\(798\) | −58.6506 | + | 8.43268i | −0.0734970 | + | 0.0105673i | ||||
\(799\) | −610.789 | + | 529.252i | −0.764442 | + | 0.662393i | ||||
\(800\) | −115.982 | + | 80.9207i | −0.144978 | + | 0.101151i | ||||
\(801\) | −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 | ||||||||
\(805\) | −349.068 | − | 121.302i | −0.433624 | − | 0.150685i | ||||
\(806\) | 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 | −0.735450 | − | 0.677579i | \(-0.763029\pi\) |
0.775348 | + | 0.631534i | \(0.217574\pi\) | |||||||
\(810\) | 74.5743 | + | 71.7942i | 0.0920670 | + | 0.0886349i | ||||
\(811\) | 238.893 | + | 275.698i | 0.294566 | + | 0.339948i | 0.883671 | − | 0.468109i | \(-0.155065\pi\) |
−0.589104 | + | 0.808057i | \(0.700519\pi\) | |||||||
\(812\) | −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 | ||||
\(815\) | −376.173 | + | 1070.20i | −0.461563 | + | 1.31313i | ||||
\(816\) | −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 | ||||
\(820\) | 168.174 | − | 322.396i | 0.205090 | − | 0.393166i | ||||
\(821\) | 180.636 | + | 1256.35i | 0.220020 | + | 1.53027i | 0.737955 | + | 0.674850i | \(0.235792\pi\) |
−0.517935 | + | 0.855420i | \(0.673299\pi\) | |||||||
\(822\) | −134.781 | − | 155.545i | −0.163967 | − | 0.189228i | ||||
\(823\) | 374.075 | − | 582.072i | 0.454526 | − | 0.707257i | −0.536055 | − | 0.844183i | \(-0.680086\pi\) |
0.990581 | + | 0.136926i | \(0.0437223\pi\) | |||||||
\(824\) | −195.496 | − | 169.398i | −0.237253 | − | 0.205581i | ||||
\(825\) | 1012.68 | + | 106.537i | 1.22749 | + | 0.129135i | ||||
\(826\) | −213.048 | + | 97.2958i | −0.257927 | + | 0.117791i | ||||
\(827\) | 542.339 | 0.655791 | 0.327896 | − | 0.944714i | \(-0.393661\pi\) | ||||
0.327896 | + | 0.944714i | \(0.393661\pi\) | |||||||
\(828\) | 32.2445 | + | 218.734i | 0.0389426 | + | 0.264172i | ||||
\(829\) | −701.791 | −0.846552 | −0.423276 | − | 0.906001i | \(-0.639120\pi\) | ||||
−0.423276 | + | 0.906001i | \(0.639120\pi\) | |||||||
\(830\) | 61.8706 | + | 260.496i | 0.0745429 | + | 0.313850i | ||||
\(831\) | 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 | ||||
\(835\) | −16.9945 | + | 323.971i | −0.0203527 | + | 0.387989i | ||||
\(836\) | 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 | 0.969861 | − | 0.243661i | \(-0.0783483\pi\) |
0.450977 | + | 0.892535i | \(0.351076\pi\) | |||||||
\(840\) | −75.5456 | − | 54.3452i | −0.0899352 | − | 0.0646966i | ||||
\(841\) | 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 | ||||
\(845\) | 156.022 | − | 89.0815i | 0.184641 | − | 0.105422i | ||||
\(846\) | 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 | \(-0.356604\pi\) |
0.965483 | + | 0.260467i | \(0.0838766\pi\) | |||||||
\(854\) | −229.956 | + | 67.5213i | −0.269270 | + | 0.0790647i | ||||
\(855\) | −120.733 | + | 94.0094i | −0.141208 | + | 0.109953i | ||||
\(856\) | −152.509 | + | 237.308i | −0.178164 | + | 0.277229i | ||||
\(857\) | 405.846 | − | 351.667i | 0.473565 | − | 0.410347i | −0.385107 | − | 0.922872i | \(-0.625835\pi\) |
0.858672 | + | 0.512525i | \(0.171290\pi\) | |||||||
\(858\) | 117.352 | + | 816.202i | 0.136774 | + | 0.951285i | ||||
\(859\) | −1298.87 | − | 381.383i | −1.51207 | − | 0.443985i | −0.582565 | − | 0.812784i | \(-0.697951\pi\) |
−0.929509 | + | 0.368799i | \(0.879769\pi\) | |||||||
\(860\) | −297.047 | − | 752.454i | −0.345403 | − | 0.874947i | ||||
\(861\) | 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 | \(-0.270726\pi\) |
−0.136089 | + | 0.990697i | \(0.543453\pi\) | |||||||
\(864\) | −22.7613 | + | 158.309i | −0.0263441 | + | 0.183227i | ||||
\(865\) | −942.053 | + | 371.895i | −1.08908 | + | 0.429936i | ||||
\(866\) | −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 | ||||
\(870\) | 213.959 | + | 274.781i | 0.245930 | + | 0.315840i | ||||
\(871\) | −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 | \(-0.0997518\pi\) |
−0.966948 | + | 0.254972i | \(0.917934\pi\) | |||||||
\(878\) | −457.331 | − | 396.280i | −0.520878 | − | 0.451344i | ||||
\(879\) | 102.849 | − | 160.036i | 0.117007 | − | 0.182066i | ||||
\(880\) | 197.239 | + | 345.455i | 0.224136 | + | 0.392562i | ||||
\(881\) | 683.953 | − | 98.3376i | 0.776337 | − | 0.111620i | 0.257253 | − | 0.966344i | \(-0.417182\pi\) |
0.519083 | + | 0.854724i | \(0.326273\pi\) | |||||||
\(882\) | 74.0623 | − | 252.233i | 0.0839708 | − | 0.285978i | ||||
\(883\) | 431.383 | + | 671.245i | 0.488542 | + | 0.760187i | 0.994762 | − | 0.102218i | \(-0.0325939\pi\) |
−0.506220 | + | 0.862405i | \(0.668958\pi\) | |||||||
\(884\) | 370.616 | + | 53.2866i | 0.419249 | + | 0.0602789i | ||||
\(885\) | 308.161 | − | 428.376i | 0.348204 | − | 0.484041i | ||||
\(886\) | 260.523 | − | 570.465i | 0.294044 | − | 0.643866i | ||||
\(887\) | 861.130 | + | 123.812i | 0.970834 | + | 0.139585i | 0.609443 | − | 0.792830i | \(-0.291393\pi\) |
0.361391 | + | 0.932414i | \(0.382302\pi\) | |||||||
\(888\) | 137.859 | − | 88.5967i | 0.155247 | − | 0.0997710i | ||||
\(889\) | −4.45552 | + | 15.1741i | −0.00501183 | + | 0.0170687i | ||||
\(890\) | −1036.42 | − | 54.3675i | −1.16452 | − | 0.0610871i | ||||
\(891\) | 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 | ||||
\(895\) | 171.084 | − | 40.6343i | 0.191155 | − | 0.0454015i | ||||
\(896\) | − | 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 | ||||
\(900\) | −239.005 | − | 25.1441i | −0.265561 | − | 0.0279379i | ||||
\(901\) | −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 | ||||
\(905\) | −510.716 | − | 266.409i | −0.564327 | − | 0.294375i | ||||
\(906\) | 75.2575 | − | 48.3650i | 0.0830656 | − | 0.0533830i | ||||
\(907\) | −114.280 | + | 794.832i | −0.125997 | + | 0.876331i | 0.824558 | + | 0.565777i | \(0.191424\pi\) |
−0.950556 | + | 0.310554i | \(0.899485\pi\) | |||||||
\(908\) | −217.657 | + | 476.602i | −0.239710 | + | 0.524892i | ||||
\(909\) | 52.4303 | − | 114.806i | 0.0576791 | − | 0.126300i | ||||
\(910\) | 306.875 | + | 107.866i | 0.337225 | + | 0.118534i | ||||
\(911\) | 836.583 | + | 1301.75i | 0.918313 | + | 1.42892i | 0.903288 | + | 0.429035i | \(0.141146\pi\) |
0.0150251 | + | 0.999887i | \(0.495217\pi\) | |||||||
\(912\) | 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 | ||||
\(915\) | 374.506 | − | 389.008i | 0.409296 | − | 0.425145i | ||||
\(916\) | 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 | \(0.0395951\pi\) | ||||
−0.992273 | + | 0.124071i | \(0.960405\pi\) | |||||||
\(920\) | 235.128 | + | 224.755i | 0.255574 | + | 0.244299i | ||||
\(921\) | −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 | ||||
\(925\) | 404.724 | + | 580.083i | 0.437539 | + | 0.627116i | ||||
\(926\) | −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 | −0.428114 | + | 0.903725i | \(0.640822\pi\) |
−0.999902 | + | 0.0140056i | \(0.995542\pi\) | |||||||
\(930\) | −715.364 | − | 251.449i | −0.769209 | − | 0.270375i | ||||
\(931\) | −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 | ||||
\(935\) | −1153.11 | − | 601.508i | −1.23328 | − | 0.643324i | ||||
\(936\) | −27.6966 | − | 192.634i | −0.0295904 | − | 0.205806i | ||||
\(937\) | 127.644 | + | 147.309i | 0.136226 | + | 0.157213i | 0.819764 | − | 0.572702i | \(-0.194105\pi\) |
−0.683537 | + | 0.729915i | \(0.739559\pi\) | |||||||
\(938\) | 167.140 | − | 260.075i | 0.178188 | − | 0.277265i | ||||
\(939\) | 540.755 | + | 468.567i | 0.575884 | + | 0.499006i | ||||
\(940\) | 615.466 | − | 55.7845i | 0.654751 | − | 0.0593453i | ||||
\(941\) | 105.074 | − | 47.9857i | 0.111662 | − | 0.0509943i | −0.358801 | − | 0.933414i | \(-0.616814\pi\) |
0.470463 | + | 0.882420i | \(0.344087\pi\) | |||||||
\(942\) | −30.6323 | −0.0325183 | ||||||||
\(943\) | −803.290 | − | 232.764i | −0.851845 | − | 0.246833i | ||||
\(944\) | 206.153 | 0.218382 | ||||||||
\(945\) | −104.973 | − | 441.971i | −0.111083 | − | 0.467694i | ||||
\(946\) | −2183.32 | + | 641.081i | −2.30795 | + | 0.677676i | ||||
\(947\) | −790.768 | − | 685.204i | −0.835024 | − | 0.723553i | 0.128345 | − | 0.991730i | \(-0.459033\pi\) |
−0.963370 | + | 0.268177i | \(0.913579\pi\) | |||||||
\(948\) | −55.1369 | − | 35.4344i | −0.0581613 | − | 0.0373780i | ||||
\(949\) | 207.703 | + | 239.702i | 0.218865 | + | 0.252584i | ||||
\(950\) | −55.1737 | + | 218.246i | −0.0580776 | + | 0.229732i | ||||
\(951\) | −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 | −0.583793 | − | 0.811902i | \(-0.698432\pi\) |
0.788885 | − | 0.614541i | \(-0.210659\pi\) | |||||||
\(954\) | 472.723 | + | 215.885i | 0.495517 | + | 0.226295i | ||||
\(955\) | −252.823 | + | 351.451i | −0.264736 | + | 0.368011i | ||||
\(956\) | −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 | ||||
\(960\) | 40.6146 | + | 71.1343i | 0.0423069 | + | 0.0740983i | ||||
\(961\) | 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 | ||||
\(970\) | −350.657 | + | 273.041i | −0.361502 | + | 0.281485i | ||||
\(971\) | 206.989 | − | 322.082i | 0.213171 | − | 0.331701i | −0.718157 | − | 0.695881i | \(-0.755014\pi\) |
0.931329 | + | 0.364180i | \(0.118651\pi\) | |||||||
\(972\) | −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 | ||||
\(975\) | −720.940 | + | 131.771i | −0.739425 | + | 0.135150i | ||||
\(976\) | 208.803 | + | 30.0214i | 0.213938 | + | 0.0307596i | ||||
\(977\) | 33.8902 | − | 74.2092i | 0.0346880 | − | 0.0759562i | −0.891495 | − | 0.453031i | \(-0.850343\pi\) |
0.926183 | + | 0.377075i | \(0.123070\pi\) | |||||||
\(978\) | 597.672 | + | 272.947i | 0.611116 | + | 0.279087i | ||||
\(979\) | −415.461 | + | 2889.60i | −0.424373 | + | 2.95158i | ||||
\(980\) | −142.008 | − | 359.723i | −0.144906 | − | 0.367065i | ||||
\(981\) | −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 | \(-0.191477\pi\) |
−0.677488 | + | 0.735534i | \(0.736931\pi\) | |||||||
\(984\) | −177.179 | − | 113.866i | −0.180060 | − | 0.115718i | ||||
\(985\) | −697.061 | + | 542.770i | −0.707676 | + | 0.551035i | ||||
\(986\) | −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 | 0.983528 | + | 0.180754i | \(0.0578537\pi\) |
−0.507470 | + | 0.861670i | \(0.669419\pi\) | |||||||
\(992\) | −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 | ||||
\(995\) | 321.466 | + | 563.032i | 0.323082 | + | 0.565861i | ||||
\(996\) | 153.500 | − | 22.0700i | 0.154116 | − | 0.0221586i | ||||
\(997\) | 157.022 | − | 534.768i | 0.157494 | − | 0.536377i | −0.842503 | − | 0.538692i | \(-0.818919\pi\) |
0.999997 | + | 0.00231505i | \(0.000736903\pi\) | |||||||
\(998\) | 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.19.16 | yes | 240 | |
5.4 | even | 2 | inner | 230.3.i.a.19.9 | ✓ | 240 | |
23.17 | odd | 22 | inner | 230.3.i.a.109.9 | yes | 240 | |
115.109 | odd | 22 | inner | 230.3.i.a.109.16 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.i.a.19.9 | ✓ | 240 | 5.4 | even | 2 | inner | |
230.3.i.a.19.16 | yes | 240 | 1.1 | even | 1 | trivial | |
230.3.i.a.109.9 | yes | 240 | 23.17 | odd | 22 | inner | |
230.3.i.a.109.16 | yes | 240 | 115.109 | odd | 22 | inner |