Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,3,Mod(5,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.d (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: | \(0.626704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Character | \(\chi\) | \(=\) | 23.5 |
Dual form | 23.3.d.a.14.1 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.10125 | − | 0.910608i | −1.55062 | − | 0.455304i | −0.609337 | − | 0.792912i | \(-0.708564\pi\) |
−0.941287 | + | 0.337607i | \(0.890382\pi\) | |||||||
\(3\) | −3.16934 | + | 3.65762i | −1.05645 | + | 1.21921i | −0.0815227 | + | 0.996671i | \(0.525978\pi\) |
−0.974925 | + | 0.222534i | \(0.928567\pi\) | |||||||
\(4\) | 5.42352 | + | 3.48548i | 1.35588 | + | 0.871370i | ||||
\(5\) | −5.40865 | − | 0.777647i | −1.08173 | − | 0.155529i | −0.421676 | − | 0.906747i | \(-0.638558\pi\) |
−0.660055 | + | 0.751217i | \(0.729467\pi\) | |||||||
\(6\) | 13.1596 | − | 8.45714i | 2.19326 | − | 1.40952i | ||||
\(7\) | −0.889564 | + | 0.406250i | −0.127081 | + | 0.0580357i | −0.477941 | − | 0.878392i | \(-0.658617\pi\) |
0.350860 | + | 0.936428i | \(0.385889\pi\) | |||||||
\(8\) | −5.17926 | − | 5.97719i | −0.647408 | − | 0.747148i | ||||
\(9\) | −2.05259 | − | 14.2761i | −0.228066 | − | 1.58623i | ||||
\(10\) | 16.0654 | + | 7.33684i | 1.60654 | + | 0.733684i | ||||
\(11\) | 3.66991 | + | 12.4986i | 0.333629 | + | 1.13623i | 0.940035 | + | 0.341079i | \(0.110792\pi\) |
−0.606406 | + | 0.795155i | \(0.707389\pi\) | |||||||
\(12\) | −29.9375 | + | 8.79045i | −2.49479 | + | 0.732538i | ||||
\(13\) | −5.85520 | + | 12.8211i | −0.450400 | + | 0.986239i | 0.539171 | + | 0.842196i | \(0.318737\pi\) |
−0.989571 | + | 0.144043i | \(0.953990\pi\) | |||||||
\(14\) | 3.12869 | − | 0.449838i | 0.223478 | − | 0.0321313i | ||||
\(15\) | 19.9862 | − | 17.3181i | 1.33241 | − | 1.15454i | ||||
\(16\) | −0.0933341 | − | 0.204373i | −0.00583338 | − | 0.0127733i | ||||
\(17\) | −7.74290 | − | 12.0482i | −0.455465 | − | 0.708717i | 0.535247 | − | 0.844695i | \(-0.320218\pi\) |
−0.990712 | + | 0.135979i | \(0.956582\pi\) | |||||||
\(18\) | −6.63433 | + | 46.1428i | −0.368574 | + | 2.56349i | ||||
\(19\) | −3.48690 | + | 5.42572i | −0.183521 | + | 0.285564i | −0.920809 | − | 0.390015i | \(-0.872470\pi\) |
0.737288 | + | 0.675579i | \(0.236106\pi\) | |||||||
\(20\) | −26.6234 | − | 23.0693i | −1.33117 | − | 1.15347i | ||||
\(21\) | 1.33343 | − | 4.54123i | 0.0634964 | − | 0.216249i | ||||
\(22\) | − | 42.1030i | − | 1.91377i | ||||||
\(23\) | 14.0512 | + | 18.2089i | 0.610922 | + | 0.791691i | ||||
\(24\) | 38.2771 | 1.59488 | ||||||||
\(25\) | 4.66147 | + | 1.36873i | 0.186459 | + | 0.0547492i | ||||
\(26\) | 29.8334 | − | 34.4296i | 1.14744 | − | 1.32422i | ||||
\(27\) | 22.0789 | + | 14.1893i | 0.817739 | + | 0.525529i | ||||
\(28\) | −6.24054 | − | 0.897254i | −0.222876 | − | 0.0320448i | ||||
\(29\) | −2.47928 | + | 1.59333i | −0.0854922 | + | 0.0549425i | −0.582689 | − | 0.812696i | \(-0.697999\pi\) |
0.497196 | + | 0.867638i | \(0.334363\pi\) | |||||||
\(30\) | −77.7522 | + | 35.5083i | −2.59174 | + | 1.18361i | ||||
\(31\) | 5.65792 | + | 6.52959i | 0.182514 | + | 0.210632i | 0.839632 | − | 0.543155i | \(-0.182770\pi\) |
−0.657119 | + | 0.753787i | \(0.728225\pi\) | |||||||
\(32\) | 4.60559 | + | 32.0326i | 0.143925 | + | 1.00102i | ||||
\(33\) | −57.3462 | − | 26.1891i | −1.73776 | − | 0.793610i | ||||
\(34\) | 13.0415 | + | 44.4152i | 0.383573 | + | 1.30633i | ||||
\(35\) | 5.12726 | − | 1.50550i | 0.146493 | − | 0.0430143i | ||||
\(36\) | 38.6268 | − | 84.5809i | 1.07297 | − | 2.34947i | ||||
\(37\) | 30.2033 | − | 4.34258i | 0.816305 | − | 0.117367i | 0.278500 | − | 0.960436i | \(-0.410163\pi\) |
0.537805 | + | 0.843069i | \(0.319254\pi\) | |||||||
\(38\) | 15.7544 | − | 13.6513i | 0.414591 | − | 0.359245i | ||||
\(39\) | −28.3375 | − | 62.0505i | −0.726603 | − | 1.59104i | ||||
\(40\) | 23.3647 | + | 36.3562i | 0.584117 | + | 0.908904i | ||||
\(41\) | −4.02842 | + | 28.0183i | −0.0982541 | + | 0.683372i | 0.879849 | + | 0.475253i | \(0.157643\pi\) |
−0.978103 | + | 0.208120i | \(0.933266\pi\) | |||||||
\(42\) | −8.27056 | + | 12.8692i | −0.196918 | + | 0.306411i | ||||
\(43\) | −25.3186 | − | 21.9387i | −0.588805 | − | 0.510202i | 0.308728 | − | 0.951150i | \(-0.400097\pi\) |
−0.897532 | + | 0.440948i | \(0.854642\pi\) | |||||||
\(44\) | −23.6597 | + | 80.5777i | −0.537721 | + | 1.83131i | ||||
\(45\) | 78.8106i | 1.75135i | ||||||||
\(46\) | −26.9951 | − | 69.2654i | −0.586851 | − | 1.50577i | ||||
\(47\) | 28.3043 | 0.602219 | 0.301110 | − | 0.953590i | \(-0.402643\pi\) | ||||
0.301110 | + | 0.953590i | \(0.402643\pi\) | |||||||
\(48\) | 1.04333 | + | 0.306348i | 0.0217360 | + | 0.00638226i | ||||
\(49\) | −31.4619 | + | 36.3090i | −0.642079 | + | 0.740999i | ||||
\(50\) | −13.2100 | − | 8.48954i | −0.264200 | − | 0.169791i | ||||
\(51\) | 68.6075 | + | 9.86427i | 1.34525 | + | 0.193417i | ||||
\(52\) | −76.4435 | + | 49.1272i | −1.47007 | + | 0.944755i | ||||
\(53\) | 74.4829 | − | 34.0152i | 1.40534 | − | 0.641796i | 0.438862 | − | 0.898554i | \(-0.355382\pi\) |
0.966476 | + | 0.256758i | \(0.0826543\pi\) | |||||||
\(54\) | −55.5514 | − | 64.1097i | −1.02873 | − | 1.18722i | ||||
\(55\) | −10.1298 | − | 70.4544i | −0.184178 | − | 1.28099i | ||||
\(56\) | 7.03552 | + | 3.21301i | 0.125634 | + | 0.0573752i | ||||
\(57\) | −8.79403 | − | 29.9497i | −0.154281 | − | 0.525434i | ||||
\(58\) | 9.13975 | − | 2.68367i | 0.157582 | − | 0.0462702i | ||||
\(59\) | −37.0343 | + | 81.0938i | −0.627700 | + | 1.37447i | 0.282084 | + | 0.959390i | \(0.408974\pi\) |
−0.909784 | + | 0.415081i | \(0.863753\pi\) | |||||||
\(60\) | 168.758 | − | 24.2637i | 2.81263 | − | 0.404395i | ||||
\(61\) | 13.9664 | − | 12.1020i | 0.228958 | − | 0.198393i | −0.532825 | − | 0.846225i | \(-0.678870\pi\) |
0.761783 | + | 0.647832i | \(0.224324\pi\) | |||||||
\(62\) | −11.6007 | − | 25.4020i | −0.187108 | − | 0.409710i | ||||
\(63\) | 7.62557 | + | 11.8656i | 0.121041 | + | 0.188343i | ||||
\(64\) | 14.7582 | − | 102.645i | 0.230597 | − | 1.60383i | ||||
\(65\) | 41.6390 | − | 64.7916i | 0.640601 | − | 0.996794i | ||||
\(66\) | 153.997 | + | 133.439i | 2.33328 | + | 2.02180i | ||||
\(67\) | −23.0835 | + | 78.6152i | −0.344530 | + | 1.17336i | 0.586967 | + | 0.809611i | \(0.300322\pi\) |
−0.931497 | + | 0.363750i | \(0.881496\pi\) | |||||||
\(68\) | − | 92.3312i | − | 1.35781i | ||||||
\(69\) | −111.134 | − | 6.31624i | −1.61064 | − | 0.0915397i | ||||
\(70\) | −17.2718 | −0.246740 | ||||||||
\(71\) | −70.4488 | − | 20.6856i | −0.992237 | − | 0.291347i | −0.254970 | − | 0.966949i | \(-0.582066\pi\) |
−0.737267 | + | 0.675602i | \(0.763884\pi\) | |||||||
\(72\) | −74.6999 | + | 86.2083i | −1.03750 | + | 1.19734i | ||||
\(73\) | −62.8153 | − | 40.3690i | −0.860484 | − | 0.552999i | 0.0343443 | − | 0.999410i | \(-0.489066\pi\) |
−0.894828 | + | 0.446411i | \(0.852702\pi\) | |||||||
\(74\) | −97.6223 | − | 14.0360i | −1.31922 | − | 0.189675i | ||||
\(75\) | −19.7801 | + | 12.7119i | −0.263734 | + | 0.169492i | ||||
\(76\) | −37.8225 | + | 17.2730i | −0.497665 | + | 0.227276i | ||||
\(77\) | −8.34217 | − | 9.62738i | −0.108340 | − | 0.125031i | ||||
\(78\) | 31.3780 | + | 218.239i | 0.402282 | + | 2.79793i | ||||
\(79\) | 109.498 | + | 50.0059i | 1.38605 | + | 0.632986i | 0.962099 | − | 0.272702i | \(-0.0879171\pi\) |
0.423947 | + | 0.905687i | \(0.360644\pi\) | |||||||
\(80\) | 0.345882 | + | 1.17796i | 0.00432352 | + | 0.0147246i | ||||
\(81\) | 2.67333 | − | 0.784960i | 0.0330040 | − | 0.00969086i | ||||
\(82\) | 38.0068 | − | 83.2233i | 0.463498 | − | 1.01492i | ||||
\(83\) | −119.345 | + | 17.1592i | −1.43789 | + | 0.206738i | −0.816764 | − | 0.576972i | \(-0.804234\pi\) |
−0.621127 | + | 0.783710i | \(0.713325\pi\) | |||||||
\(84\) | 23.0602 | − | 19.9818i | 0.274526 | − | 0.237879i | ||||
\(85\) | 32.5094 | + | 71.1857i | 0.382464 | + | 0.837479i | ||||
\(86\) | 58.5417 | + | 91.0926i | 0.680717 | + | 1.05922i | ||||
\(87\) | 2.02987 | − | 14.1181i | 0.0233318 | − | 0.162277i | ||||
\(88\) | 55.6989 | − | 86.6692i | 0.632942 | − | 0.984877i | ||||
\(89\) | −25.2210 | − | 21.8541i | −0.283382 | − | 0.245552i | 0.501558 | − | 0.865124i | \(-0.332761\pi\) |
−0.784939 | + | 0.619572i | \(0.787306\pi\) | |||||||
\(90\) | 71.7656 | − | 244.411i | 0.797396 | − | 2.71568i | ||||
\(91\) | − | 13.7839i | − | 0.151471i | ||||||
\(92\) | 12.7402 | + | 147.731i | 0.138481 | + | 1.60578i | ||||
\(93\) | −41.8146 | −0.449620 | ||||||||
\(94\) | −87.7787 | − | 25.7741i | −0.933816 | − | 0.274193i | ||||
\(95\) | 23.0787 | − | 26.6343i | 0.242934 | − | 0.280361i | ||||
\(96\) | −131.760 | − | 84.6768i | −1.37250 | − | 0.882050i | ||||
\(97\) | 118.310 | + | 17.0104i | 1.21969 | + | 0.175365i | 0.721941 | − | 0.691955i | \(-0.243250\pi\) |
0.497751 | + | 0.867320i | \(0.334159\pi\) | |||||||
\(98\) | 130.634 | − | 83.9536i | 1.33300 | − | 0.856669i | ||||
\(99\) | 170.898 | − | 78.0465i | 1.72624 | − | 0.788348i | ||||
\(100\) | 20.5109 | + | 23.6708i | 0.205109 | + | 0.236708i | ||||
\(101\) | −5.57360 | − | 38.7653i | −0.0551842 | − | 0.383815i | −0.998632 | − | 0.0522928i | \(-0.983347\pi\) |
0.943448 | − | 0.331522i | \(-0.107562\pi\) | |||||||
\(102\) | −203.786 | − | 93.0662i | −1.99791 | − | 0.912413i | ||||
\(103\) | 15.5668 | + | 53.0155i | 0.151134 | + | 0.514714i | 0.999901 | − | 0.0140523i | \(-0.00447312\pi\) |
−0.848768 | + | 0.528766i | \(0.822655\pi\) | |||||||
\(104\) | 106.960 | − | 31.4062i | 1.02846 | − | 0.301983i | ||||
\(105\) | −10.7435 | + | 23.5250i | −0.102319 | + | 0.224048i | ||||
\(106\) | −261.965 | + | 37.6648i | −2.47136 | + | 0.355328i | ||||
\(107\) | 28.5114 | − | 24.7053i | 0.266462 | − | 0.230890i | −0.511374 | − | 0.859358i | \(-0.670863\pi\) |
0.777835 | + | 0.628468i | \(0.216318\pi\) | |||||||
\(108\) | 70.2890 | + | 153.911i | 0.650824 | + | 1.42511i | ||||
\(109\) | 67.9227 | + | 105.690i | 0.623144 | + | 0.969631i | 0.999076 | + | 0.0429835i | \(0.0136863\pi\) |
−0.375932 | + | 0.926647i | \(0.622677\pi\) | |||||||
\(110\) | −32.7413 | + | 227.721i | −0.297648 | + | 2.07019i | ||||
\(111\) | −79.8411 | + | 124.235i | −0.719289 | + | 1.11924i | ||||
\(112\) | 0.166053 | + | 0.143886i | 0.00148262 | + | 0.00128470i | ||||
\(113\) | 56.6517 | − | 192.938i | 0.501343 | − | 1.70742i | −0.187289 | − | 0.982305i | \(-0.559970\pi\) |
0.688631 | − | 0.725112i | \(-0.258212\pi\) | |||||||
\(114\) | 100.889i | 0.884995i | ||||||||
\(115\) | −61.8381 | − | 109.412i | −0.537722 | − | 0.951412i | ||||
\(116\) | −18.9999 | −0.163792 | ||||||||
\(117\) | 195.054 | + | 57.2729i | 1.66712 | + | 0.489512i | ||||
\(118\) | 188.697 | − | 217.768i | 1.59913 | − | 1.84549i | ||||
\(119\) | 11.7824 | + | 7.57207i | 0.0990116 | + | 0.0636309i | ||||
\(120\) | −207.028 | − | 29.7661i | −1.72523 | − | 0.248051i | ||||
\(121\) | −40.9545 | + | 26.3199i | −0.338467 | + | 0.217520i | ||||
\(122\) | −54.3336 | + | 24.8133i | −0.445357 | + | 0.203388i | ||||
\(123\) | −89.7127 | − | 103.534i | −0.729371 | − | 0.841739i | ||||
\(124\) | 7.92706 | + | 55.1339i | 0.0639279 | + | 0.444628i | ||||
\(125\) | 100.114 | + | 45.7205i | 0.800912 | + | 0.365764i | ||||
\(126\) | −12.8439 | − | 43.7422i | −0.101935 | − | 0.347160i | ||||
\(127\) | −74.4291 | + | 21.8544i | −0.586056 | + | 0.172082i | −0.561301 | − | 0.827612i | \(-0.689699\pi\) |
−0.0247555 | + | 0.999694i | \(0.507881\pi\) | |||||||
\(128\) | −85.4639 | + | 187.140i | −0.667686 | + | 1.46203i | ||||
\(129\) | 160.487 | − | 23.0745i | 1.24408 | − | 0.178872i | ||||
\(130\) | −188.133 | + | 163.018i | −1.44718 | + | 1.25398i | ||||
\(131\) | −8.75733 | − | 19.1759i | −0.0668499 | − | 0.146381i | 0.873258 | − | 0.487259i | \(-0.162003\pi\) |
−0.940108 | + | 0.340878i | \(0.889276\pi\) | |||||||
\(132\) | −219.736 | − | 341.916i | −1.66467 | − | 2.59028i | ||||
\(133\) | 0.897619 | − | 6.24308i | 0.00674902 | − | 0.0469404i | ||||
\(134\) | 143.175 | − | 222.785i | 1.06847 | − | 1.66258i | ||||
\(135\) | −108.383 | − | 93.9145i | −0.802838 | − | 0.695663i | ||||
\(136\) | −31.9118 | + | 108.681i | −0.234645 | + | 0.799128i | ||||
\(137\) | 169.870i | 1.23993i | 0.784630 | + | 0.619965i | \(0.212853\pi\) | ||||
−0.784630 | + | 0.619965i | \(0.787147\pi\) | |||||||
\(138\) | 338.903 | + | 120.788i | 2.45582 | + | 0.875275i | ||||
\(139\) | −31.2547 | −0.224854 | −0.112427 | − | 0.993660i | \(-0.535862\pi\) | ||||
−0.112427 | + | 0.993660i | \(0.535862\pi\) | |||||||
\(140\) | 33.0552 | + | 9.70587i | 0.236108 | + | 0.0693277i | ||||
\(141\) | −89.7061 | + | 103.526i | −0.636213 | + | 0.734229i | ||||
\(142\) | 199.643 | + | 128.303i | 1.40594 | + | 0.903540i | ||||
\(143\) | −181.734 | − | 26.1294i | −1.27086 | − | 0.182723i | ||||
\(144\) | −2.72607 | + | 1.75194i | −0.0189311 | + | 0.0121663i | ||||
\(145\) | 14.6486 | − | 6.68979i | 0.101025 | − | 0.0461365i | ||||
\(146\) | 158.046 | + | 182.394i | 1.08250 | + | 1.24928i | ||||
\(147\) | −33.0907 | − | 230.151i | −0.225107 | − | 1.56565i | ||||
\(148\) | 178.944 | + | 81.7210i | 1.20908 | + | 0.552169i | ||||
\(149\) | −40.7866 | − | 138.906i | −0.273735 | − | 0.932257i | −0.975528 | − | 0.219876i | \(-0.929435\pi\) |
0.701792 | − | 0.712381i | \(-0.252383\pi\) | |||||||
\(150\) | 72.9185 | − | 21.4108i | 0.486123 | − | 0.142739i | ||||
\(151\) | 40.3370 | − | 88.3258i | 0.267133 | − | 0.584939i | −0.727765 | − | 0.685826i | \(-0.759441\pi\) |
0.994898 | + | 0.100888i | \(0.0321682\pi\) | |||||||
\(152\) | 50.4901 | − | 7.25938i | 0.332172 | − | 0.0477591i | ||||
\(153\) | −156.108 | + | 135.268i | −1.02031 | + | 0.884107i | ||||
\(154\) | 17.1044 | + | 37.4533i | 0.111067 | + | 0.243204i | ||||
\(155\) | −25.5240 | − | 39.7162i | −0.164671 | − | 0.256233i | ||||
\(156\) | 62.5870 | − | 435.302i | 0.401199 | − | 2.79040i | ||||
\(157\) | −84.1467 | + | 130.935i | −0.535966 | + | 0.833980i | −0.998618 | − | 0.0525603i | \(-0.983262\pi\) |
0.462651 | + | 0.886540i | \(0.346898\pi\) | |||||||
\(158\) | −294.043 | − | 254.790i | −1.86103 | − | 1.61260i | ||||
\(159\) | −111.647 | + | 380.236i | −0.702184 | + | 2.39142i | ||||
\(160\) | − | 176.835i | − | 1.10522i | ||||||
\(161\) | −19.8968 | − | 10.4897i | −0.123583 | − | 0.0651531i | ||||
\(162\) | −9.00544 | −0.0555891 | ||||||||
\(163\) | 31.2644 | + | 9.18007i | 0.191806 | + | 0.0563194i | 0.376225 | − | 0.926528i | \(-0.377222\pi\) |
−0.184419 | + | 0.982848i | \(0.559040\pi\) | |||||||
\(164\) | −119.505 | + | 137.917i | −0.728691 | + | 0.840955i | ||||
\(165\) | 289.800 | + | 186.243i | 1.75636 | + | 1.12875i | ||||
\(166\) | 385.744 | + | 55.4616i | 2.32376 | + | 0.334106i | ||||
\(167\) | 118.325 | − | 76.0431i | 0.708536 | − | 0.455348i | −0.136096 | − | 0.990696i | \(-0.543456\pi\) |
0.844632 | + | 0.535347i | \(0.179819\pi\) | |||||||
\(168\) | −34.0499 | + | 15.5501i | −0.202678 | + | 0.0925600i | ||||
\(169\) | −19.4258 | − | 22.4186i | −0.114946 | − | 0.132654i | ||||
\(170\) | −35.9975 | − | 250.368i | −0.211750 | − | 1.47275i | ||||
\(171\) | 84.6153 | + | 38.6425i | 0.494826 | + | 0.225980i | ||||
\(172\) | −60.8489 | − | 207.232i | −0.353773 | − | 1.20484i | ||||
\(173\) | −81.9298 | + | 24.0568i | −0.473583 | + | 0.139056i | −0.509810 | − | 0.860287i | \(-0.670284\pi\) |
0.0362271 | + | 0.999344i | \(0.488466\pi\) | |||||||
\(174\) | −19.1512 | + | 41.9352i | −0.110064 | + | 0.241007i | ||||
\(175\) | −4.70272 | + | 0.676149i | −0.0268727 | + | 0.00386371i | ||||
\(176\) | 2.21185 | − | 1.91658i | 0.0125673 | − | 0.0108896i | ||||
\(177\) | −179.236 | − | 392.471i | −1.01263 | − | 2.21735i | ||||
\(178\) | 58.3160 | + | 90.7414i | 0.327618 | + | 0.509783i | ||||
\(179\) | 3.26607 | − | 22.7160i | 0.0182462 | − | 0.126905i | −0.978662 | − | 0.205475i | \(-0.934126\pi\) |
0.996909 | + | 0.0785695i | \(0.0250353\pi\) | |||||||
\(180\) | −274.693 | + | 427.431i | −1.52607 | + | 2.37461i | ||||
\(181\) | 125.528 | + | 108.771i | 0.693526 | + | 0.600943i | 0.928621 | − | 0.371029i | \(-0.120995\pi\) |
−0.235096 | + | 0.971972i | \(0.575540\pi\) | |||||||
\(182\) | −12.5517 | + | 42.7472i | −0.0689654 | + | 0.234875i | ||||
\(183\) | 89.4393i | 0.488739i | ||||||||
\(184\) | 36.0630 | − | 178.295i | 0.195994 | − | 0.968996i | ||||
\(185\) | −166.736 | −0.901277 | ||||||||
\(186\) | 129.678 | + | 38.0768i | 0.697191 | + | 0.204714i | ||||
\(187\) | 122.169 | − | 140.991i | 0.653312 | − | 0.753963i | ||||
\(188\) | 153.509 | + | 98.6542i | 0.816536 | + | 0.524756i | ||||
\(189\) | −25.4050 | − | 3.65269i | −0.134418 | − | 0.0193264i | ||||
\(190\) | −95.8262 | + | 61.5838i | −0.504349 | + | 0.324125i | ||||
\(191\) | −55.2883 | + | 25.2493i | −0.289467 | + | 0.132195i | −0.554856 | − | 0.831946i | \(-0.687227\pi\) |
0.265389 | + | 0.964141i | \(0.414500\pi\) | |||||||
\(192\) | 328.664 | + | 379.298i | 1.71179 | + | 1.97551i | ||||
\(193\) | 0.790541 | + | 5.49834i | 0.00409607 | + | 0.0284888i | 0.991767 | − | 0.128056i | \(-0.0408736\pi\) |
−0.987671 | + | 0.156544i | \(0.949965\pi\) | |||||||
\(194\) | −351.419 | − | 160.488i | −1.81144 | − | 0.827257i | ||||
\(195\) | 105.014 | + | 357.646i | 0.538536 | + | 1.83408i | ||||
\(196\) | −297.188 | + | 87.2624i | −1.51627 | + | 0.445216i | ||||
\(197\) | −59.0035 | + | 129.200i | −0.299510 | + | 0.655836i | −0.998224 | − | 0.0595649i | \(-0.981029\pi\) |
0.698714 | + | 0.715401i | \(0.253756\pi\) | |||||||
\(198\) | −601.067 | + | 86.4204i | −3.03569 | + | 0.436466i | ||||
\(199\) | 5.89878 | − | 5.11132i | 0.0296421 | − | 0.0256850i | −0.639914 | − | 0.768447i | \(-0.721030\pi\) |
0.669556 | + | 0.742762i | \(0.266484\pi\) | |||||||
\(200\) | −15.9618 | − | 34.9515i | −0.0798090 | − | 0.174757i | ||||
\(201\) | −214.385 | − | 333.589i | −1.06659 | − | 1.65965i | ||||
\(202\) | −18.0149 | + | 125.296i | −0.0891825 | + | 0.620278i | ||||
\(203\) | 1.55818 | − | 2.42458i | 0.00767577 | − | 0.0119437i | ||||
\(204\) | 337.712 | + | 292.629i | 1.65545 | + | 1.43446i | ||||
\(205\) | 43.5766 | − | 148.408i | 0.212569 | − | 0.723944i | ||||
\(206\) | − | 178.589i | − | 0.866939i | ||||||
\(207\) | 231.110 | − | 237.972i | 1.11647 | − | 1.14962i | ||||
\(208\) | 3.16678 | 0.0152249 | ||||||||
\(209\) | −80.6104 | − | 23.6694i | −0.385696 | − | 0.113251i | ||||
\(210\) | 54.7403 | − | 63.1737i | 0.260668 | − | 0.300827i | ||||
\(211\) | −293.762 | − | 188.789i | −1.39224 | − | 0.894736i | −0.392549 | − | 0.919731i | \(-0.628407\pi\) |
−0.999688 | + | 0.0249949i | \(0.992043\pi\) | |||||||
\(212\) | 522.519 | + | 75.1268i | 2.46471 | + | 0.354372i | ||||
\(213\) | 298.937 | − | 192.115i | 1.40346 | − | 0.901948i | ||||
\(214\) | −110.918 | + | 50.6544i | −0.518307 | + | 0.236703i | ||||
\(215\) | 119.879 | + | 138.348i | 0.557576 | + | 0.643478i | ||||
\(216\) | −29.5407 | − | 205.460i | −0.136762 | − | 0.951203i | ||||
\(217\) | −7.68573 | − | 3.50996i | −0.0354181 | − | 0.0161749i | ||||
\(218\) | −114.403 | − | 389.621i | −0.524785 | − | 1.78725i | ||||
\(219\) | 346.737 | − | 101.811i | 1.58328 | − | 0.464892i | ||||
\(220\) | 190.628 | − | 417.418i | 0.866492 | − | 1.89735i | ||||
\(221\) | 199.807 | − | 28.7279i | 0.904105 | − | 0.129991i | ||||
\(222\) | 360.737 | − | 312.580i | 1.62494 | − | 1.40802i | ||||
\(223\) | 159.619 | + | 349.517i | 0.715780 | + | 1.56734i | 0.819726 | + | 0.572757i | \(0.194126\pi\) |
−0.103946 | + | 0.994583i | \(0.533147\pi\) | |||||||
\(224\) | −17.1102 | − | 26.6240i | −0.0763849 | − | 0.118857i | ||||
\(225\) | 9.97203 | − | 69.3570i | 0.0443201 | − | 0.308253i | ||||
\(226\) | −351.382 | + | 546.761i | −1.55479 | + | 2.41930i | ||||
\(227\) | 190.299 | + | 164.895i | 0.838322 | + | 0.726410i | 0.964069 | − | 0.265652i | \(-0.0855873\pi\) |
−0.125747 | + | 0.992062i | \(0.540133\pi\) | |||||||
\(228\) | 56.6946 | − | 193.084i | 0.248661 | − | 0.846860i | ||||
\(229\) | − | 201.638i | − | 0.880514i | −0.897872 | − | 0.440257i | \(-0.854887\pi\) | ||
0.897872 | − | 0.440257i | \(-0.145113\pi\) | |||||||
\(230\) | 92.1433 | + | 395.625i | 0.400623 | + | 1.72011i | ||||
\(231\) | 61.6525 | 0.266894 | ||||||||
\(232\) | 22.3645 | + | 6.56680i | 0.0963986 | + | 0.0283052i | ||||
\(233\) | −217.430 | + | 250.927i | −0.933174 | + | 1.07694i | 0.0637030 | + | 0.997969i | \(0.479709\pi\) |
−0.996877 | + | 0.0789712i | \(0.974836\pi\) | |||||||
\(234\) | −552.756 | − | 355.235i | −2.36221 | − | 1.51810i | ||||
\(235\) | −153.088 | − | 22.0108i | −0.651439 | − | 0.0936628i | ||||
\(236\) | −483.507 | + | 310.731i | −2.04876 | + | 1.31666i | ||||
\(237\) | −529.938 | + | 242.014i | −2.23602 | + | 1.02116i | ||||
\(238\) | −29.6449 | − | 34.2120i | −0.124558 | − | 0.143748i | ||||
\(239\) | 38.1832 | + | 265.570i | 0.159762 | + | 1.11117i | 0.899070 | + | 0.437804i | \(0.144244\pi\) |
−0.739308 | + | 0.673368i | \(0.764847\pi\) | |||||||
\(240\) | −5.40476 | − | 2.46827i | −0.0225198 | − | 0.0102845i | ||||
\(241\) | −14.2327 | − | 48.4723i | −0.0590570 | − | 0.201130i | 0.924680 | − | 0.380746i | \(-0.124333\pi\) |
−0.983737 | + | 0.179616i | \(0.942514\pi\) | |||||||
\(242\) | 150.977 | − | 44.3309i | 0.623873 | − | 0.183186i | ||||
\(243\) | −103.726 | + | 227.128i | −0.426855 | + | 0.934682i | ||||
\(244\) | 117.928 | − | 16.9556i | 0.483314 | − | 0.0694900i | ||||
\(245\) | 198.402 | − | 171.916i | 0.809804 | − | 0.701699i | ||||
\(246\) | 183.942 | + | 402.777i | 0.747733 | + | 1.63731i | ||||
\(247\) | −49.1472 | − | 76.4746i | −0.198977 | − | 0.309614i | ||||
\(248\) | 9.72472 | − | 67.6369i | 0.0392126 | − | 0.272730i | ||||
\(249\) | 315.483 | − | 490.902i | 1.26700 | − | 1.97149i | ||||
\(250\) | −268.845 | − | 232.955i | −1.07538 | − | 0.931822i | ||||
\(251\) | −7.46870 | + | 25.4361i | −0.0297558 | + | 0.101339i | −0.973032 | − | 0.230670i | \(-0.925908\pi\) |
0.943276 | + | 0.332009i | \(0.107726\pi\) | |||||||
\(252\) | 90.9322i | 0.360842i | ||||||||
\(253\) | −176.018 | + | 242.445i | −0.695725 | + | 0.958282i | ||||
\(254\) | 250.724 | 0.987102 | ||||||||
\(255\) | −363.403 | − | 106.705i | −1.42511 | − | 0.418451i | ||||
\(256\) | 163.817 | − | 189.055i | 0.639910 | − | 0.738496i | ||||
\(257\) | 350.507 | + | 225.257i | 1.36384 | + | 0.876486i | 0.998519 | − | 0.0543958i | \(-0.0173233\pi\) |
0.365320 | + | 0.930882i | \(0.380960\pi\) | |||||||
\(258\) | −518.721 | − | 74.5808i | −2.01054 | − | 0.289073i | ||||
\(259\) | −25.1036 | + | 16.1331i | −0.0969251 | + | 0.0622899i | ||||
\(260\) | 451.660 | − | 206.266i | 1.73715 | − | 0.793332i | ||||
\(261\) | 27.8355 | + | 32.1239i | 0.106649 | + | 0.123080i | ||||
\(262\) | 9.69694 | + | 67.4437i | 0.0370112 | + | 0.257419i | ||||
\(263\) | 146.205 | + | 66.7697i | 0.555913 | + | 0.253877i | 0.673502 | − | 0.739185i | \(-0.264789\pi\) |
−0.117589 | + | 0.993062i | \(0.537517\pi\) | |||||||
\(264\) | 140.474 | + | 478.410i | 0.532097 | + | 1.81216i | ||||
\(265\) | −429.304 | + | 126.055i | −1.62002 | + | 0.475679i | ||||
\(266\) | −8.46874 | + | 18.5440i | −0.0318374 | + | 0.0697141i | ||||
\(267\) | 159.868 | − | 22.9855i | 0.598756 | − | 0.0860881i | ||||
\(268\) | −399.205 | + | 345.914i | −1.48957 | + | 1.29072i | ||||
\(269\) | −18.6398 | − | 40.8155i | −0.0692929 | − | 0.151730i | 0.871816 | − | 0.489833i | \(-0.162942\pi\) |
−0.941109 | + | 0.338103i | \(0.890215\pi\) | |||||||
\(270\) | 250.603 | + | 389.947i | 0.928161 | + | 1.44425i | ||||
\(271\) | 56.2390 | − | 391.151i | 0.207524 | − | 1.44336i | −0.573677 | − | 0.819082i | \(-0.694484\pi\) |
0.781201 | − | 0.624280i | \(-0.214607\pi\) | |||||||
\(272\) | −1.73965 | + | 2.70695i | −0.00639577 | + | 0.00995201i | ||||
\(273\) | 50.4161 | + | 43.6858i | 0.184674 | + | 0.160021i | ||||
\(274\) | 154.685 | − | 526.810i | 0.564545 | − | 1.92266i | ||||
\(275\) | 63.2848i | 0.230127i | ||||||||
\(276\) | −580.723 | − | 421.613i | −2.10407 | − | 1.52758i | ||||
\(277\) | −343.340 | −1.23949 | −0.619747 | − | 0.784801i | \(-0.712765\pi\) | ||||
−0.619747 | + | 0.784801i | \(0.712765\pi\) | |||||||
\(278\) | 96.9284 | + | 28.4608i | 0.348663 | + | 0.102377i | ||||
\(279\) | 81.6036 | − | 94.1756i | 0.292486 | − | 0.337547i | ||||
\(280\) | −35.5541 | − | 22.8492i | −0.126979 | − | 0.0816044i | ||||
\(281\) | 90.3158 | + | 12.9855i | 0.321409 | + | 0.0462116i | 0.301131 | − | 0.953583i | \(-0.402636\pi\) |
0.0202777 | + | 0.999794i | \(0.493545\pi\) | |||||||
\(282\) | 372.473 | − | 239.374i | 1.32083 | − | 0.848843i | ||||
\(283\) | 389.627 | − | 177.937i | 1.37677 | − | 0.628751i | 0.416840 | − | 0.908980i | \(-0.363137\pi\) |
0.959933 | + | 0.280228i | \(0.0904102\pi\) | |||||||
\(284\) | −309.981 | − | 357.737i | −1.09148 | − | 1.25964i | ||||
\(285\) | 24.2736 | + | 168.826i | 0.0851704 | + | 0.592373i | ||||
\(286\) | 539.807 | + | 246.522i | 1.88744 | + | 0.861964i | ||||
\(287\) | −7.79889 | − | 26.5606i | −0.0271738 | − | 0.0925456i | ||||
\(288\) | 447.847 | − | 131.500i | 1.55502 | − | 0.456596i | ||||
\(289\) | 34.8487 | − | 76.3079i | 0.120584 | − | 0.264041i | ||||
\(290\) | −51.5207 | + | 7.40756i | −0.177658 | + | 0.0255433i | ||||
\(291\) | −437.183 | + | 378.821i | −1.50235 | + | 1.30179i | ||||
\(292\) | −199.975 | − | 437.883i | −0.684845 | − | 1.49960i | ||||
\(293\) | −146.965 | − | 228.682i | −0.501588 | − | 0.780485i | 0.494470 | − | 0.869195i | \(-0.335362\pi\) |
−0.996058 | + | 0.0887092i | \(0.971726\pi\) | |||||||
\(294\) | −106.955 | + | 743.888i | −0.363792 | + | 2.53023i | ||||
\(295\) | 263.368 | − | 409.809i | 0.892773 | − | 1.38918i | ||||
\(296\) | −182.387 | − | 158.039i | −0.616173 | − | 0.533917i | ||||
\(297\) | −96.3179 | + | 328.029i | −0.324303 | + | 1.10447i | ||||
\(298\) | 467.924i | 1.57021i | ||||||||
\(299\) | −315.731 | + | 73.5354i | −1.05596 | + | 0.245938i | ||||
\(300\) | −151.585 | −0.505282 | ||||||||
\(301\) | 31.4351 | + | 9.23018i | 0.104436 | + | 0.0306650i | ||||
\(302\) | −205.525 | + | 237.189i | −0.680547 | + | 0.785393i | ||||
\(303\) | 159.453 | + | 102.474i | 0.526248 | + | 0.338199i | ||||
\(304\) | 1.43432 | + | 0.206224i | 0.00471815 | + | 0.000678368i | ||||
\(305\) | −84.9507 | + | 54.5945i | −0.278527 | + | 0.178998i | ||||
\(306\) | 607.306 | − | 277.347i | 1.98466 | − | 0.906364i | ||||
\(307\) | −176.795 | − | 204.032i | −0.575878 | − | 0.664599i | 0.390835 | − | 0.920461i | \(-0.372186\pi\) |
−0.966713 | + | 0.255862i | \(0.917641\pi\) | |||||||
\(308\) | −11.6878 | − | 81.2907i | −0.0379475 | − | 0.263931i | ||||
\(309\) | −243.247 | − | 111.087i | −0.787206 | − | 0.359505i | ||||
\(310\) | 42.9905 | + | 146.412i | 0.138679 | + | 0.472297i | ||||
\(311\) | 284.965 | − | 83.6733i | 0.916287 | − | 0.269046i | 0.210602 | − | 0.977572i | \(-0.432458\pi\) |
0.705685 | + | 0.708526i | \(0.250639\pi\) | |||||||
\(312\) | −224.120 | + | 490.755i | −0.718334 | + | 1.57293i | ||||
\(313\) | 411.987 | − | 59.2348i | 1.31625 | − | 0.189249i | 0.551827 | − | 0.833959i | \(-0.313931\pi\) |
0.764427 | + | 0.644710i | \(0.223022\pi\) | |||||||
\(314\) | 380.190 | − | 329.437i | 1.21080 | − | 1.04916i | ||||
\(315\) | −32.0168 | − | 70.1071i | −0.101641 | − | 0.222562i | ||||
\(316\) | 419.567 | + | 652.859i | 1.32774 | + | 2.06601i | ||||
\(317\) | −1.41146 | + | 9.81691i | −0.00445255 | + | 0.0309682i | −0.991927 | − | 0.126813i | \(-0.959525\pi\) |
0.987474 | + | 0.157782i | \(0.0504342\pi\) | |||||||
\(318\) | 692.492 | − | 1077.54i | 2.17765 | − | 3.38849i | ||||
\(319\) | −29.0131 | − | 25.1400i | −0.0909503 | − | 0.0788088i | ||||
\(320\) | −159.644 | + | 543.697i | −0.498887 | + | 1.69905i | ||||
\(321\) | 182.583i | 0.568795i | ||||||||
\(322\) | 52.1530 | + | 50.6492i | 0.161966 | + | 0.157296i | ||||
\(323\) | 92.3688 | 0.285972 | ||||||||
\(324\) | 17.2348 | + | 5.06059i | 0.0531938 | + | 0.0156191i | ||||
\(325\) | −44.8425 | + | 51.7510i | −0.137977 | + | 0.159234i | ||||
\(326\) | −88.5993 | − | 56.9393i | −0.271777 | − | 0.174661i | ||||
\(327\) | −601.843 | − | 86.5319i | −1.84050 | − | 0.264624i | ||||
\(328\) | 188.335 | − | 121.035i | 0.574191 | − | 0.369010i | ||||
\(329\) | −25.1785 | + | 11.4986i | −0.0765304 | + | 0.0349502i | ||||
\(330\) | −729.147 | − | 841.480i | −2.20954 | − | 2.54994i | ||||
\(331\) | −1.55056 | − | 10.7844i | −0.00468449 | − | 0.0325813i | 0.987345 | − | 0.158586i | \(-0.0506936\pi\) |
−0.992030 | + | 0.126005i | \(0.959784\pi\) | |||||||
\(332\) | −707.078 | − | 322.911i | −2.12975 | − | 0.972625i | ||||
\(333\) | −123.990 | − | 422.271i | −0.372343 | − | 1.26808i | ||||
\(334\) | −436.202 | + | 128.080i | −1.30599 | + | 0.383474i | ||||
\(335\) | 185.985 | − | 407.251i | 0.555181 | − | 1.21568i | ||||
\(336\) | −1.05256 | + | 0.151335i | −0.00313262 | + | 0.000450402i | ||||
\(337\) | −266.757 | + | 231.146i | −0.791564 | + | 0.685894i | −0.953662 | − | 0.300881i | \(-0.902719\pi\) |
0.162098 | + | 0.986775i | \(0.448174\pi\) | |||||||
\(338\) | 39.8297 | + | 87.2149i | 0.117839 | + | 0.258032i | ||||
\(339\) | 526.145 | + | 818.697i | 1.55205 | + | 2.41504i | ||||
\(340\) | −71.8011 | + | 499.388i | −0.211180 | + | 1.46879i | ||||
\(341\) | −60.8465 | + | 94.6790i | −0.178436 | + | 0.277651i | ||||
\(342\) | −227.225 | − | 196.891i | −0.664400 | − | 0.575706i | ||||
\(343\) | 26.7372 | − | 91.0584i | 0.0779509 | − | 0.265476i | ||||
\(344\) | 264.960i | 0.770233i | ||||||||
\(345\) | 596.175 | + | 120.586i | 1.72804 | + | 0.349523i | ||||
\(346\) | 275.991 | 0.797661 | ||||||||
\(347\) | −164.645 | − | 48.3442i | −0.474482 | − | 0.139321i | 0.0357436 | − | 0.999361i | \(-0.488620\pi\) |
−0.510226 | + | 0.860040i | \(0.670438\pi\) | |||||||
\(348\) | 60.2173 | − | 69.4944i | 0.173038 | − | 0.199697i | ||||
\(349\) | −79.2149 | − | 50.9083i | −0.226977 | − | 0.145869i | 0.422210 | − | 0.906498i | \(-0.361254\pi\) |
−0.649187 | + | 0.760629i | \(0.724891\pi\) | |||||||
\(350\) | 15.2000 | + | 2.18543i | 0.0434286 | + | 0.00624409i | ||||
\(351\) | −311.199 | + | 199.995i | −0.886606 | + | 0.569787i | ||||
\(352\) | −383.460 | + | 175.120i | −1.08937 | + | 0.497501i | ||||
\(353\) | −38.6544 | − | 44.6096i | −0.109503 | − | 0.126373i | 0.698352 | − | 0.715754i | \(-0.253917\pi\) |
−0.807855 | + | 0.589382i | \(0.799371\pi\) | |||||||
\(354\) | 198.466 | + | 1380.36i | 0.560640 | + | 3.89933i | ||||
\(355\) | 364.947 | + | 166.666i | 1.02802 | + | 0.469481i | ||||
\(356\) | −60.6143 | − | 206.433i | −0.170265 | − | 0.579869i | ||||
\(357\) | −65.0381 | + | 19.0969i | −0.182180 | + | 0.0534928i | ||||
\(358\) | −30.8143 | + | 67.4739i | −0.0860735 | + | 0.188475i | ||||
\(359\) | −231.145 | + | 33.2337i | −0.643859 | + | 0.0925729i | −0.456507 | − | 0.889720i | \(-0.650900\pi\) |
−0.187352 | + | 0.982293i | \(0.559990\pi\) | |||||||
\(360\) | 471.066 | − | 408.181i | 1.30852 | − | 1.13384i | ||||
\(361\) | 132.685 | + | 290.539i | 0.367548 | + | 0.804818i | ||||
\(362\) | −290.246 | − | 451.632i | −0.801785 | − | 1.24760i | ||||
\(363\) | 33.5309 | − | 233.213i | 0.0923717 | − | 0.642459i | ||||
\(364\) | 48.0434 | − | 74.7570i | 0.131987 | − | 0.205376i | ||||
\(365\) | 308.354 | + | 267.190i | 0.844804 | + | 0.732027i | ||||
\(366\) | 81.4441 | − | 277.373i | 0.222525 | − | 0.757851i | ||||
\(367\) | − | 466.001i | − | 1.26976i | −0.772612 | − | 0.634879i | \(-0.781050\pi\) | ||
0.772612 | − | 0.634879i | \(-0.218950\pi\) | |||||||
\(368\) | 2.40995 | − | 4.57120i | 0.00654878 | − | 0.0124217i | ||||
\(369\) | 408.260 | 1.10640 | ||||||||
\(370\) | 517.090 | + | 151.831i | 1.39754 | + | 0.410355i | ||||
\(371\) | −52.4386 | + | 60.5174i | −0.141344 | + | 0.163120i | ||||
\(372\) | −226.782 | − | 145.744i | −0.609630 | − | 0.391785i | ||||
\(373\) | −426.128 | − | 61.2680i | −1.14244 | − | 0.164257i | −0.454992 | − | 0.890496i | \(-0.650358\pi\) |
−0.687443 | + | 0.726238i | \(0.741267\pi\) | |||||||
\(374\) | −507.265 | + | 326.000i | −1.35632 | + | 0.871657i | ||||
\(375\) | −484.524 | + | 221.275i | −1.29206 | + | 0.590066i | ||||
\(376\) | −146.595 | − | 169.180i | −0.389881 | − | 0.449947i | ||||
\(377\) | −5.91164 | − | 41.1163i | −0.0156807 | − | 0.109062i | ||||
\(378\) | 75.4611 | + | 34.4619i | 0.199633 | + | 0.0911691i | ||||
\(379\) | 54.7723 | + | 186.537i | 0.144518 | + | 0.492183i | 0.999656 | − | 0.0262168i | \(-0.00834604\pi\) |
−0.855138 | + | 0.518400i | \(0.826528\pi\) | |||||||
\(380\) | 218.001 | − | 64.0109i | 0.573687 | − | 0.168450i | ||||
\(381\) | 155.957 | − | 341.497i | 0.409335 | − | 0.896318i | ||||
\(382\) | 194.455 | − | 27.9584i | 0.509044 | − | 0.0731895i | ||||
\(383\) | −31.8478 | + | 27.5963i | −0.0831536 | + | 0.0720530i | −0.695446 | − | 0.718579i | \(-0.744793\pi\) |
0.612292 | + | 0.790632i | \(0.290248\pi\) | |||||||
\(384\) | −413.621 | − | 905.704i | −1.07714 | − | 2.35860i | ||||
\(385\) | 37.6332 | + | 58.5584i | 0.0977486 | + | 0.152100i | ||||
\(386\) | 2.55517 | − | 17.7716i | 0.00661960 | − | 0.0460403i | ||||
\(387\) | −261.230 | + | 406.482i | −0.675013 | + | 1.05034i | ||||
\(388\) | 582.367 | + | 504.624i | 1.50095 | + | 1.30058i | ||||
\(389\) | 86.1483 | − | 293.394i | 0.221461 | − | 0.754226i | −0.771546 | − | 0.636173i | \(-0.780516\pi\) |
0.993007 | − | 0.118053i | \(-0.0376654\pi\) | |||||||
\(390\) | − | 1204.78i | − | 3.08917i | ||||||
\(391\) | 110.587 | − | 310.281i | 0.282831 | − | 0.793558i | ||||
\(392\) | 379.975 | 0.969324 | ||||||||
\(393\) | 97.8930 | + | 28.7440i | 0.249092 | + | 0.0731399i | ||||
\(394\) | 300.635 | − | 346.951i | 0.763033 | − | 0.880587i | ||||
\(395\) | −553.347 | − | 355.615i | −1.40088 | − | 0.900291i | ||||
\(396\) | 1198.90 | + | 172.375i | 3.02752 | + | 0.435292i | ||||
\(397\) | 111.820 | − | 71.8621i | 0.281662 | − | 0.181013i | −0.392181 | − | 0.919888i | \(-0.628279\pi\) |
0.673842 | + | 0.738875i | \(0.264643\pi\) | |||||||
\(398\) | −22.9480 | + | 10.4800i | −0.0576582 | + | 0.0263316i | ||||
\(399\) | 19.9899 | + | 23.0696i | 0.0501001 | + | 0.0578186i | ||||
\(400\) | −0.155342 | − | 1.08043i | −0.000388355 | − | 0.00270107i | ||||
\(401\) | −434.725 | − | 198.532i | −1.08410 | − | 0.495093i | −0.208449 | − | 0.978033i | \(-0.566842\pi\) |
−0.875653 | + | 0.482940i | \(0.839569\pi\) | |||||||
\(402\) | 361.091 | + | 1229.76i | 0.898236 | + | 3.05911i | ||||
\(403\) | −116.845 | + | 34.3087i | −0.289938 | + | 0.0851333i | ||||
\(404\) | 104.887 | − | 229.671i | 0.259622 | − | 0.568492i | ||||
\(405\) | −15.0695 | + | 2.16667i | −0.0372087 | + | 0.00534980i | ||||
\(406\) | −7.04015 | + | 6.10032i | −0.0173403 | + | 0.0150254i | ||||
\(407\) | 165.120 | + | 361.561i | 0.405699 | + | 0.888357i | ||||
\(408\) | −296.376 | − | 461.170i | −0.726411 | − | 1.13032i | ||||
\(409\) | −50.8160 | + | 353.433i | −0.124244 | + | 0.864139i | 0.828418 | + | 0.560110i | \(0.189241\pi\) |
−0.952663 | + | 0.304029i | \(0.901668\pi\) | |||||||
\(410\) | −270.284 | + | 420.570i | −0.659229 | + | 1.02578i | ||||
\(411\) | −621.320 | − | 538.377i | −1.51173 | − | 1.30992i | ||||
\(412\) | −100.358 | + | 341.788i | −0.243587 | + | 0.829583i | ||||
\(413\) | − | 87.1833i | − | 0.211098i | ||||||
\(414\) | −933.429 | + | 527.558i | −2.25466 | + | 1.27430i | ||||
\(415\) | 658.839 | 1.58756 | ||||||||
\(416\) | −437.660 | − | 128.509i | −1.05207 | − | 0.308915i | ||||
\(417\) | 99.0567 | − | 114.318i | 0.237546 | − | 0.274143i | ||||
\(418\) | 228.439 | + | 146.809i | 0.546506 | + | 0.351218i | ||||
\(419\) | 666.662 | + | 95.8515i | 1.59108 | + | 0.228763i | 0.880218 | − | 0.474570i | \(-0.157396\pi\) |
0.710861 | + | 0.703333i | \(0.248306\pi\) | |||||||
\(420\) | −140.264 | + | 90.1419i | −0.333961 | + | 0.214624i | ||||
\(421\) | 432.269 | − | 197.411i | 1.02677 | − | 0.468909i | 0.170455 | − | 0.985366i | \(-0.445476\pi\) |
0.856314 | + | 0.516456i | \(0.172749\pi\) | |||||||
\(422\) | 739.115 | + | 852.985i | 1.75146 | + | 2.02129i | ||||
\(423\) | −58.0972 | − | 404.075i | −0.137346 | − | 0.955260i | ||||
\(424\) | −589.082 | − | 269.025i | −1.38934 | − | 0.634492i | ||||
\(425\) | −19.6026 | − | 66.7602i | −0.0461237 | − | 0.157083i | ||||
\(426\) | −1102.02 | + | 323.582i | −2.58690 | + | 0.759582i | ||||
\(427\) | −7.50761 | + | 16.4394i | −0.0175822 | + | 0.0384997i | ||||
\(428\) | 240.742 | − | 34.6134i | 0.562481 | − | 0.0808725i | ||||
\(429\) | 671.547 | − | 581.899i | 1.56538 | − | 1.35641i | ||||
\(430\) | −245.794 | − | 538.213i | −0.571613 | − | 1.25166i | ||||
\(431\) | 419.135 | + | 652.186i | 0.972470 | + | 1.51319i | 0.854025 | + | 0.520232i | \(0.174155\pi\) |
0.118445 | + | 0.992961i | \(0.462209\pi\) | |||||||
\(432\) | 0.839189 | − | 5.83669i | 0.00194257 | − | 0.0135108i | ||||
\(433\) | −284.450 | + | 442.613i | −0.656928 | + | 1.02220i | 0.339731 | + | 0.940523i | \(0.389664\pi\) |
−0.996659 | + | 0.0816775i | \(0.973972\pi\) | |||||||
\(434\) | 20.6392 | + | 17.8839i | 0.0475557 | + | 0.0412072i | ||||
\(435\) | −21.9577 | + | 74.7812i | −0.0504775 | + | 0.171911i | ||||
\(436\) | 809.953i | 1.85769i | ||||||||
\(437\) | −147.791 | + | 12.7454i | −0.338196 | + | 0.0291657i | ||||
\(438\) | −1168.03 | −2.66673 | ||||||||
\(439\) | −406.664 | − | 119.407i | −0.926341 | − | 0.271998i | −0.216437 | − | 0.976297i | \(-0.569444\pi\) |
−0.709904 | + | 0.704298i | \(0.751262\pi\) | |||||||
\(440\) | −368.654 | + | 425.449i | −0.837850 | + | 0.966931i | ||||
\(441\) | 582.928 | + | 374.625i | 1.32183 | + | 0.849490i | ||||
\(442\) | −645.812 | − | 92.8537i | −1.46111 | − | 0.210076i | ||||
\(443\) | 48.8393 | − | 31.3871i | 0.110247 | − | 0.0708512i | −0.484356 | − | 0.874871i | \(-0.660946\pi\) |
0.594602 | + | 0.804020i | \(0.297310\pi\) | |||||||
\(444\) | −866.039 | + | 395.507i | −1.95054 | + | 0.890781i | ||||
\(445\) | 119.417 | + | 137.814i | 0.268352 | + | 0.309695i | ||||
\(446\) | −176.745 | − | 1229.29i | −0.396289 | − | 2.75625i | ||||
\(447\) | 637.333 | + | 291.060i | 1.42580 | + | 0.651141i | ||||
\(448\) | 28.5714 | + | 97.3051i | 0.0637754 | + | 0.217199i | ||||
\(449\) | 480.449 | − | 141.072i | 1.07004 | − | 0.314193i | 0.301153 | − | 0.953576i | \(-0.402628\pi\) |
0.768888 | + | 0.639383i | \(0.220810\pi\) | |||||||
\(450\) | −94.0828 | + | 206.013i | −0.209073 | + | 0.457806i | ||||
\(451\) | −364.973 | + | 52.4751i | −0.809252 | + | 0.116353i | ||||
\(452\) | 979.734 | − | 848.944i | 2.16755 | − | 1.87819i | ||||
\(453\) | 195.220 | + | 427.472i | 0.430949 | + | 0.943647i | ||||
\(454\) | −440.010 | − | 684.668i | −0.969184 | − | 1.50808i | ||||
\(455\) | −10.7190 | + | 74.5521i | −0.0235582 | + | 0.163851i | ||||
\(456\) | −133.468 | + | 207.681i | −0.292694 | + | 0.455441i | ||||
\(457\) | −117.286 | − | 101.629i | −0.256643 | − | 0.222383i | 0.517030 | − | 0.855967i | \(-0.327037\pi\) |
−0.773673 | + | 0.633585i | \(0.781583\pi\) | |||||||
\(458\) | −183.613 | + | 625.329i | −0.400902 | + | 1.36535i | ||||
\(459\) | − | 375.877i | − | 0.818905i | ||||||
\(460\) | 45.9753 | − | 808.935i | 0.0999463 | − | 1.75856i | ||||
\(461\) | −37.1200 | −0.0805207 | −0.0402603 | − | 0.999189i | \(-0.512819\pi\) | ||||
−0.0402603 | + | 0.999189i | \(0.512819\pi\) | |||||||
\(462\) | −191.200 | − | 56.1413i | −0.413852 | − | 0.121518i | ||||
\(463\) | −369.627 | + | 426.572i | −0.798331 | + | 0.921323i | −0.998288 | − | 0.0584819i | \(-0.981374\pi\) |
0.199958 | + | 0.979804i | \(0.435919\pi\) | |||||||
\(464\) | 0.557036 | + | 0.357985i | 0.00120051 | + | 0.000771519i | ||||
\(465\) | 226.161 | + | 32.5170i | 0.486367 | + | 0.0699291i | ||||
\(466\) | 902.799 | − | 580.194i | 1.93734 | − | 1.24505i | ||||
\(467\) | −307.154 | + | 140.273i | −0.657718 | + | 0.300370i | −0.716175 | − | 0.697920i | \(-0.754109\pi\) |
0.0584577 | + | 0.998290i | \(0.481382\pi\) | |||||||
\(468\) | 858.252 | + | 990.476i | 1.83387 | + | 2.11640i | ||||
\(469\) | −11.4032 | − | 79.3109i | −0.0243138 | − | 0.169106i | ||||
\(470\) | 454.721 | + | 207.664i | 0.967492 | + | 0.441839i | ||||
\(471\) | −212.220 | − | 722.754i | −0.450573 | − | 1.53451i | ||||
\(472\) | 676.523 | − | 198.645i | 1.43331 | − | 0.420858i | ||||
\(473\) | 181.285 | − | 396.960i | 0.383267 | − | 0.839238i | ||||
\(474\) | 1863.85 | − | 267.981i | 3.93217 | − | 0.565361i | ||||
\(475\) | −23.6804 | + | 20.5192i | −0.0498535 | + | 0.0431983i | ||||
\(476\) | 37.5096 | + | 82.1345i | 0.0788016 | + | 0.172552i | ||||
\(477\) | −638.487 | − | 993.505i | −1.33855 | − | 2.08282i | ||||
\(478\) | 123.415 | − | 858.369i | 0.258190 | − | 1.79575i | ||||
\(479\) | −110.203 | + | 171.480i | −0.230070 | + | 0.357995i | −0.937025 | − | 0.349263i | \(-0.886432\pi\) |
0.706955 | + | 0.707258i | \(0.250068\pi\) | |||||||
\(480\) | 646.794 | + | 560.450i | 1.34749 | + | 1.16760i | ||||
\(481\) | −121.170 | + | 412.666i | −0.251912 | + | 0.857934i | ||||
\(482\) | 163.285i | 0.338765i | ||||||||
\(483\) | 101.427 | − | 39.5296i | 0.209994 | − | 0.0818418i | ||||
\(484\) | −313.855 | −0.648461 | ||||||||
\(485\) | −626.670 | − | 184.007i | −1.29210 | − | 0.379396i | ||||
\(486\) | 528.504 | − | 609.926i | 1.08746 | − | 1.25499i | ||||
\(487\) | 106.619 | + | 68.5200i | 0.218931 | + | 0.140698i | 0.645510 | − | 0.763752i | \(-0.276645\pi\) |
−0.426579 | + | 0.904450i | \(0.640281\pi\) | |||||||
\(488\) | −144.672 | − | 20.8007i | −0.296458 | − | 0.0426243i | ||||
\(489\) | −132.665 | + | 85.2586i | −0.271298 | + | 0.174353i | ||||
\(490\) | −771.842 | + | 352.489i | −1.57519 | + | 0.719364i | ||||
\(491\) | −100.797 | − | 116.326i | −0.205289 | − | 0.236916i | 0.643764 | − | 0.765224i | \(-0.277372\pi\) |
−0.849053 | + | 0.528308i | \(0.822827\pi\) | |||||||
\(492\) | −125.692 | − | 874.210i | −0.255472 | − | 1.77685i | ||||
\(493\) | 38.3936 | + | 17.5337i | 0.0778774 | + | 0.0355654i | ||||
\(494\) | 82.7793 | + | 281.921i | 0.167570 | + | 0.570689i | ||||
\(495\) | −985.021 | + | 289.228i | −1.98994 | + | 0.584299i | ||||
\(496\) | 0.806396 | − | 1.76576i | 0.00162580 | − | 0.00356000i | ||||
\(497\) | 71.0723 | − | 10.2187i | 0.143003 | − | 0.0205607i | ||||
\(498\) | −1425.41 | + | 1235.13i | −2.86227 | + | 2.48017i | ||||
\(499\) | 112.222 | + | 245.732i | 0.224894 | + | 0.492448i | 0.988120 | − | 0.153683i | \(-0.0491133\pi\) |
−0.763227 | + | 0.646131i | \(0.776386\pi\) | |||||||
\(500\) | 383.612 | + | 596.912i | 0.767224 | + | 1.19382i | ||||
\(501\) | −96.8772 | + | 673.796i | −0.193368 | + | 1.34490i | ||||
\(502\) | 46.3246 | − | 72.0825i | 0.0922801 | − | 0.143591i | ||||
\(503\) | −147.693 | − | 127.977i | −0.293625 | − | 0.254427i | 0.495573 | − | 0.868566i | \(-0.334958\pi\) |
−0.789198 | + | 0.614139i | \(0.789504\pi\) | |||||||
\(504\) | 31.4282 | − | 107.035i | 0.0623576 | − | 0.212370i | ||||
\(505\) | 214.002i | 0.423767i | ||||||||
\(506\) | 766.649 | − | 591.599i | 1.51512 | − | 1.16917i | ||||
\(507\) | 143.566 | 0.283167 | ||||||||
\(508\) | −479.841 | − | 140.894i | −0.944568 | − | 0.277350i | ||||
\(509\) | −464.703 | + | 536.296i | −0.912973 | + | 1.05363i | 0.0853854 | + | 0.996348i | \(0.472788\pi\) |
−0.998358 | + | 0.0572788i | \(0.981758\pi\) | |||||||
\(510\) | 1029.84 | + | 661.837i | 2.01929 | + | 1.29772i | ||||
\(511\) | 72.2781 | + | 10.3920i | 0.141444 | + | 0.0203366i | ||||
\(512\) | 12.0962 | − | 7.77378i | 0.0236255 | − | 0.0151832i | ||||
\(513\) | −153.974 | + | 70.3176i | −0.300144 | + | 0.137071i | ||||
\(514\) | −881.887 | − | 1017.75i | −1.71573 | − | 1.98006i | ||||
\(515\) | −42.9678 | − | 298.848i | −0.0834327 | − | 0.580287i | ||||
\(516\) | 950.827 | + | 434.228i | 1.84269 | + | 0.841528i | ||||
\(517\) | 103.874 | + | 353.764i | 0.200918 | + | 0.684262i | ||||
\(518\) | 92.5434 | − | 27.1732i | 0.178655 | − | 0.0524579i | ||||
\(519\) | 171.673 | − | 375.912i | 0.330777 | − | 0.724300i | ||||
\(520\) | −602.931 | + | 86.6884i | −1.15948 | + | 0.166708i | ||||
\(521\) | −58.3153 | + | 50.5305i | −0.111929 | + | 0.0969875i | −0.709027 | − | 0.705181i | \(-0.750866\pi\) |
0.597098 | + | 0.802168i | \(0.296320\pi\) | |||||||
\(522\) | −57.0725 | − | 124.971i | −0.109334 | − | 0.239409i | ||||
\(523\) | −388.831 | − | 605.032i | −0.743462 | − | 1.15685i | −0.982577 | − | 0.185858i | \(-0.940494\pi\) |
0.239115 | − | 0.970991i | \(-0.423143\pi\) | |||||||
\(524\) | 19.3417 | − | 134.524i | 0.0369116 | − | 0.256726i | ||||
\(525\) | 12.4314 | − | 19.3437i | 0.0236789 | − | 0.0368451i | ||||
\(526\) | −392.617 | − | 340.205i | −0.746421 | − | 0.646777i | ||||
\(527\) | 34.8610 | − | 118.726i | 0.0661499 | − | 0.225286i | ||||
\(528\) | 14.1644i | 0.0268265i | ||||||||
\(529\) | −134.127 | + | 511.714i | −0.253548 | + | 0.967323i | ||||
\(530\) | 1446.17 | 2.72861 | ||||||||
\(531\) | 1233.72 | + | 362.252i | 2.32339 | + | 0.682208i | ||||
\(532\) | 26.6284 | − | 30.7308i | 0.0500534 | − | 0.0577647i | ||||
\(533\) | −335.638 | − | 215.701i | −0.629715 | − | 0.404693i | ||||
\(534\) | −516.721 | − | 74.2932i | −0.967642 | − | 0.139126i | ||||
\(535\) | −173.420 | + | 111.450i | −0.324150 | + | 0.208319i | ||||
\(536\) | 589.453 | − | 269.194i | 1.09973 | − | 0.502228i | ||||
\(537\) | 72.7352 | + | 83.9409i | 0.135447 | + | 0.156315i | ||||
\(538\) | 20.6397 | + | 143.552i | 0.0383638 | + | 0.266826i | ||||
\(539\) | −569.273 | − | 259.978i | −1.05616 | − | 0.482334i | ||||
\(540\) | −260.480 | − | 887.114i | −0.482371 | − | 1.64280i | ||||
\(541\) | 846.574 | − | 248.577i | 1.56483 | − | 0.459476i | 0.619341 | − | 0.785122i | \(-0.287400\pi\) |
0.945492 | + | 0.325646i | \(0.105582\pi\) | |||||||
\(542\) | −530.596 | + | 1161.84i | −0.978960 | + | 2.14362i | ||||
\(543\) | −795.683 | + | 114.402i | −1.46535 | + | 0.210685i | ||||
\(544\) | 350.274 | − | 303.514i | 0.643886 | − | 0.557931i | ||||
\(545\) | −285.181 | − | 624.459i | −0.523268 | − | 1.14580i | ||||
\(546\) | −116.572 | − | 181.390i | −0.213502 | − | 0.332216i | ||||
\(547\) | −5.41018 | + | 37.6286i | −0.00989064 | + | 0.0687909i | −0.994169 | − | 0.107833i | \(-0.965609\pi\) |
0.984278 | + | 0.176624i | \(0.0565178\pi\) | |||||||
\(548\) | −592.080 | + | 921.294i | −1.08044 | + | 1.68119i | ||||
\(549\) | −201.437 | − | 174.546i | −0.366915 | − | 0.317934i | ||||
\(550\) | 57.6277 | − | 196.262i | 0.104778 | − | 0.356840i | ||||
\(551\) | − | 19.0077i | − | 0.0344966i | ||||||
\(552\) | 537.840 | + | 696.984i | 0.974348 | + | 1.26265i | ||||
\(553\) | −117.720 | −0.212875 | ||||||||
\(554\) | 1064.78 | + | 312.648i | 1.92199 | + | 0.564347i | ||||
\(555\) | 528.444 | − | 609.857i | 0.952152 | − | 1.09884i | ||||
\(556\) | −169.510 | − | 108.938i | −0.304874 | − | 0.195931i | ||||
\(557\) | 95.3735 | + | 13.7126i | 0.171227 | + | 0.0246187i | 0.227395 | − | 0.973803i | \(-0.426979\pi\) |
−0.0561680 | + | 0.998421i | \(0.517888\pi\) | |||||||
\(558\) | −338.830 | + | 217.753i | −0.607222 | + | 0.390238i | ||||
\(559\) | 429.524 | − | 196.157i | 0.768379 | − | 0.350907i | ||||
\(560\) | −0.786232 | − | 0.907360i | −0.00140399 | − | 0.00162029i | ||||
\(561\) | 128.494 | + | 893.698i | 0.229045 | + | 1.59304i | ||||
\(562\) | −268.267 | − | 122.513i | −0.477344 | − | 0.217996i | ||||
\(563\) | −167.219 | − | 569.496i | −0.297015 | − | 1.01154i | −0.963875 | − | 0.266356i | \(-0.914180\pi\) |
0.666860 | − | 0.745183i | \(-0.267638\pi\) | |||||||
\(564\) | −847.361 | + | 248.808i | −1.50241 | + | 0.441148i | ||||
\(565\) | −456.447 | + | 999.480i | −0.807871 | + | 1.76899i | ||||
\(566\) | −1370.36 | + | 197.028i | −2.42113 | + | 0.348106i | ||||
\(567\) | −2.05920 | + | 1.78431i | −0.00363175 | + | 0.00314693i | ||||
\(568\) | 241.231 | + | 528.222i | 0.424703 | + | 0.929969i | ||||
\(569\) | 315.775 | + | 491.356i | 0.554966 | + | 0.863543i | 0.999481 | − | 0.0322281i | \(-0.0102603\pi\) |
−0.444515 | + | 0.895771i | \(0.646624\pi\) | |||||||
\(570\) | 78.4563 | − | 545.676i | 0.137643 | − | 0.957326i | ||||
\(571\) | 86.1621 | − | 134.071i | 0.150897 | − | 0.234800i | −0.757573 | − | 0.652750i | \(-0.773615\pi\) |
0.908470 | + | 0.417950i | \(0.137251\pi\) | |||||||
\(572\) | −894.562 | − | 775.142i | −1.56392 | − | 1.35514i | ||||
\(573\) | 82.8752 | − | 282.247i | 0.144634 | − | 0.492578i | ||||
\(574\) | 89.4727i | 0.155876i | ||||||||
\(575\) | 40.5762 | + | 104.112i | 0.0705674 | + | 0.181065i | ||||
\(576\) | −1495.67 | −2.59664 | ||||||||
\(577\) | 946.244 | + | 277.842i | 1.63994 | + | 0.481529i | 0.966275 | − | 0.257511i | \(-0.0829022\pi\) |
0.673662 | + | 0.739040i | \(0.264720\pi\) | |||||||
\(578\) | −177.561 | + | 204.916i | −0.307199 | + | 0.354526i | ||||
\(579\) | −22.6163 | − | 14.5346i | −0.0390610 | − | 0.0251030i | ||||
\(580\) | 102.764 | + | 14.7752i | 0.177179 | + | 0.0254745i | ||||
\(581\) | 99.1940 | − | 63.7481i | 0.170730 | − | 0.109721i | ||||
\(582\) | 1700.77 | − | 776.716i | 2.92229 | − | 1.33456i | ||||
\(583\) | 698.488 | + | 806.098i | 1.19809 | + | 1.38267i | ||||
\(584\) | 84.0442 | + | 584.540i | 0.143911 | + | 1.00093i | ||||
\(585\) | −1010.44 | − | 461.452i | −1.72725 | − | 0.788807i | ||||
\(586\) | 247.535 | + | 843.028i | 0.422415 | + | 1.43861i | ||||
\(587\) | −410.642 | + | 120.575i | −0.699561 | + | 0.205410i | −0.612126 | − | 0.790761i | \(-0.709685\pi\) |
−0.0874353 | + | 0.996170i | \(0.527867\pi\) | |||||||
\(588\) | 622.719 | − | 1363.57i | 1.05905 | − | 2.31899i | ||||
\(589\) | −55.1564 | + | 7.93029i | −0.0936441 | + | 0.0134640i | ||||
\(590\) | −1189.94 | + | 1031.09i | −2.01686 | + | 1.74761i | ||||
\(591\) | −285.561 | − | 625.290i | −0.483182 | − | 1.05802i | ||||
\(592\) | −3.70651 | − | 5.76743i | −0.00626099 | − | 0.00974229i | ||||
\(593\) | 57.8337 | − | 402.242i | 0.0975273 | − | 0.678317i | −0.881138 | − | 0.472858i | \(-0.843222\pi\) |
0.978666 | − | 0.205459i | \(-0.0658687\pi\) | |||||||
\(594\) | 597.412 | − | 929.591i | 1.00574 | − | 1.56497i | ||||
\(595\) | −57.8384 | − | 50.1173i | −0.0972074 | − | 0.0842307i | ||||
\(596\) | 262.949 | − | 895.522i | 0.441189 | − | 1.50255i | ||||
\(597\) | 37.7750i | 0.0632747i | ||||||||
\(598\) | 1046.12 | + | 59.4556i | 1.74937 | + | 0.0994241i | ||||
\(599\) | 194.807 | 0.325220 | 0.162610 | − | 0.986690i | \(-0.448009\pi\) | ||||
0.162610 | + | 0.986690i | \(0.448009\pi\) | |||||||
\(600\) | 178.428 | + | 52.3911i | 0.297379 | + | 0.0873184i | ||||
\(601\) | 654.528 | − | 755.365i | 1.08906 | − | 1.25685i | 0.124721 | − | 0.992192i | \(-0.460196\pi\) |
0.964343 | − | 0.264656i | \(-0.0852583\pi\) | |||||||
\(602\) | −89.0829 | − | 57.2501i | −0.147978 | − | 0.0950999i | ||||
\(603\) | 1169.70 | + | 168.177i | 1.93980 | + | 0.278901i | ||||
\(604\) | 526.626 | − | 338.442i | 0.871898 | − | 0.560335i | ||||
\(605\) | 241.976 | − | 110.507i | 0.399961 | − | 0.182656i | ||||
\(606\) | −401.190 | − | 462.998i | −0.662029 | − | 0.764023i | ||||
\(607\) | 152.687 | + | 1061.96i | 0.251544 | + | 1.74953i | 0.588953 | + | 0.808168i | \(0.299540\pi\) |
−0.337409 | + | 0.941358i | \(0.609550\pi\) | |||||||
\(608\) | −189.859 | − | 86.7058i | −0.312268 | − | 0.142608i | ||||
\(609\) | 3.92976 | + | 13.3835i | 0.00645281 | + | 0.0219763i | ||||
\(610\) | 313.167 | − | 91.9543i | 0.513389 | − | 0.150745i | ||||
\(611\) | −165.727 | + | 362.892i | −0.271240 | + | 0.593932i | ||||
\(612\) | −1318.13 | + | 189.518i | −2.15381 | + | 0.309671i | ||||
\(613\) | 636.423 | − | 551.464i | 1.03821 | − | 0.899615i | 0.0431688 | − | 0.999068i | \(-0.486255\pi\) |
0.995042 | + | 0.0994527i | \(0.0317092\pi\) | |||||||
\(614\) | 362.491 | + | 793.744i | 0.590376 | + | 1.29274i | ||||
\(615\) | 404.712 | + | 629.744i | 0.658068 | + | 1.02397i | ||||
\(616\) | −14.3384 | + | 99.7254i | −0.0232765 | + | 0.161892i | ||||
\(617\) | 628.913 | − | 978.608i | 1.01931 | − | 1.58607i | 0.228943 | − | 0.973440i | \(-0.426473\pi\) |
0.790366 | − | 0.612635i | \(-0.209890\pi\) | |||||||
\(618\) | 653.212 | + | 566.011i | 1.05698 | + | 0.915876i | ||||
\(619\) | −48.1634 | + | 164.030i | −0.0778084 | + | 0.264991i | −0.989205 | − | 0.146538i | \(-0.953187\pi\) |
0.911397 | + | 0.411529i | \(0.135005\pi\) | |||||||
\(620\) | − | 304.365i | − | 0.490911i | ||||||
\(621\) | 51.8651 | + | 601.409i | 0.0835187 | + | 0.968453i | ||||
\(622\) | −959.941 | −1.54331 | ||||||||
\(623\) | 31.3139 | + | 9.19459i | 0.0502631 | + | 0.0147586i | ||||
\(624\) | −10.0366 | + | 11.5829i | −0.0160843 | + | 0.0185623i | ||||
\(625\) | −608.103 | − | 390.804i | −0.972965 | − | 0.625287i | ||||
\(626\) | −1331.61 | − | 191.457i | −2.12718 | − | 0.305842i | ||||
\(627\) | 342.056 | − | 219.826i | 0.545543 | − | 0.350599i | ||||
\(628\) | −912.742 | + | 416.835i | −1.45341 | + | 0.663751i | ||||
\(629\) | −286.181 | − | 330.271i | −0.454978 | − | 0.525073i | ||||
\(630\) | 35.4520 | + | 246.574i | 0.0562730 | + | 0.391388i | ||||
\(631\) | −554.063 | − | 253.032i | −0.878071 | − | 0.401002i | −0.0752099 | − | 0.997168i | \(-0.523963\pi\) |
−0.802861 | + | 0.596166i | \(0.796690\pi\) | |||||||
\(632\) | −268.222 | − | 913.481i | −0.424402 | − | 1.44538i | ||||
\(633\) | 1621.55 | − | 476.130i | 2.56169 | − | 0.752181i | ||||
\(634\) | 13.3166 | − | 29.1594i | 0.0210042 | − | 0.0459927i | ||||
\(635\) | 419.556 | − | 60.3231i | 0.660719 | − | 0.0949970i | ||||
\(636\) | −1930.83 | + | 1673.07i | −3.03589 | + | 2.63061i | ||||
\(637\) | −281.305 | − | 615.972i | −0.441609 | − | 0.966990i | ||||
\(638\) | 67.0842 | + | 104.385i | 0.105148 | + | 0.163613i | ||||
\(639\) | −150.707 | + | 1048.19i | −0.235849 | + | 1.64036i | ||||
\(640\) | 607.773 | − | 945.713i | 0.949645 | − | 1.47768i | ||||
\(641\) | 48.5119 | + | 42.0358i | 0.0756816 | + | 0.0655785i | 0.691880 | − | 0.722012i | \(-0.256783\pi\) |
−0.616199 | + | 0.787591i | \(0.711328\pi\) | |||||||
\(642\) | 166.262 | − | 566.236i | 0.258975 | − | 0.881987i | ||||
\(643\) | − | 761.478i | − | 1.18426i | −0.805843 | − | 0.592129i | \(-0.798288\pi\) | ||
0.805843 | − | 0.592129i | \(-0.201712\pi\) | |||||||
\(644\) | −71.3492 | − | 126.241i | −0.110791 | − | 0.196026i | ||||
\(645\) | −885.960 | −1.37358 | ||||||||
\(646\) | −286.459 | − | 84.1118i | −0.443434 | − | 0.130204i | ||||
\(647\) | 409.930 | − | 473.085i | 0.633586 | − | 0.731197i | −0.344641 | − | 0.938735i | \(-0.611999\pi\) |
0.978227 | + | 0.207537i | \(0.0665448\pi\) | |||||||
\(648\) | −18.5377 | − | 11.9135i | −0.0286076 | − | 0.0183850i | ||||
\(649\) | −1149.47 | − | 165.269i | −1.77114 | − | 0.254651i | ||||
\(650\) | 186.192 | − | 119.659i | 0.286450 | − | 0.184090i | ||||
\(651\) | 37.1968 | − | 16.9872i | 0.0571379 | − | 0.0260940i | ||||
\(652\) | 137.566 | + | 158.760i | 0.210991 | + | 0.243497i | ||||
\(653\) | −18.2619 | − | 127.014i | −0.0279661 | − | 0.194509i | 0.971049 | − | 0.238881i | \(-0.0767804\pi\) |
−0.999015 | + | 0.0443719i | \(0.985871\pi\) | |||||||
\(654\) | 1787.67 | + | 816.400i | 2.73344 | + | 1.24832i | ||||
\(655\) | 32.4533 | + | 110.526i | 0.0495470 | + | 0.168742i | ||||
\(656\) | 6.10217 | − | 1.79176i | 0.00930209 | − | 0.00273134i | ||||
\(657\) | −447.377 | + | 979.618i | −0.680939 | + | 1.49105i | ||||
\(658\) | 88.5555 | − | 12.7324i | 0.134583 | − | 0.0193501i | ||||
\(659\) | −14.9685 | + | 12.9703i | −0.0227140 | + | 0.0196818i | −0.666144 | − | 0.745823i | \(-0.732056\pi\) |
0.643430 | + | 0.765505i | \(0.277511\pi\) | |||||||
\(660\) | 922.587 | + | 2020.18i | 1.39786 | + | 3.06089i | ||||
\(661\) | −210.035 | − | 326.820i | −0.317753 | − | 0.494433i | 0.645233 | − | 0.763986i | \(-0.276760\pi\) |
−0.962986 | + | 0.269553i | \(0.913124\pi\) | |||||||
\(662\) | −5.01169 | + | 34.8571i | −0.00757053 | + | 0.0526542i | ||||
\(663\) | −528.182 | + | 821.867i | −0.796654 | + | 1.23962i | ||||
\(664\) | 720.683 | + | 624.475i | 1.08537 | + | 0.940475i | ||||
\(665\) | −9.70982 | + | 33.0686i | −0.0146012 | + | 0.0497272i | ||||
\(666\) | 1422.47i | 2.13585i | ||||||||
\(667\) | −63.8496 | − | 22.7566i | −0.0957266 | − | 0.0341178i | ||||
\(668\) | 906.787 | 1.35747 | ||||||||
\(669\) | −1784.29 | − | 523.913i | −2.66709 | − | 0.783129i | ||||
\(670\) | −947.634 | + | 1093.63i | −1.41438 | + | 1.63228i | ||||
\(671\) | 202.513 | + | 130.147i | 0.301808 | + | 0.193960i | ||||
\(672\) | 151.609 | + | 21.7980i | 0.225608 | + | 0.0324375i | ||||
\(673\) | −1033.54 | + | 664.218i | −1.53573 | + | 0.986951i | −0.547013 | + | 0.837124i | \(0.684235\pi\) |
−0.988712 | + | 0.149827i | \(0.952128\pi\) | |||||||
\(674\) | 1037.76 | − | 473.930i | 1.53971 | − | 0.703161i | ||||
\(675\) | 83.4990 | + | 96.3630i | 0.123702 | + | 0.142760i | ||||
\(676\) | −27.2166 | − | 189.296i | −0.0402613 | − | 0.280023i | ||||
\(677\) | 541.466 | + | 247.279i | 0.799802 | + | 0.365257i | 0.773018 | − | 0.634384i | \(-0.218746\pi\) |
0.0267838 | + | 0.999641i | \(0.491473\pi\) | |||||||
\(678\) | −886.193 | − | 3018.09i | −1.30707 | − | 4.45147i | ||||
\(679\) | −112.155 | + | 32.9316i | −0.165177 | + | 0.0485002i | ||||
\(680\) | 257.115 | − | 563.004i | 0.378111 | − | 0.827947i | ||||
\(681\) | −1206.25 | + | 173.432i | −1.77129 | + | 0.254672i | ||||
\(682\) | 274.916 | − | 238.216i | 0.403102 | − | 0.349290i | ||||
\(683\) | 384.043 | + | 840.938i | 0.562289 | + | 1.23124i | 0.950802 | + | 0.309798i | \(0.100261\pi\) |
−0.388514 | + | 0.921443i | \(0.627011\pi\) | |||||||
\(684\) | 324.224 | + | 504.503i | 0.474012 | + | 0.737578i | ||||
\(685\) | 132.099 | − | 918.769i | 0.192845 | − | 1.34127i | ||||
\(686\) | −165.837 | + | 258.048i | −0.241745 | + | 0.376163i | ||||
\(687\) | 737.514 | + | 639.059i | 1.07353 | + | 0.930217i | ||||
\(688\) | −2.12059 | + | 7.22207i | −0.00308225 | + | 0.0104972i | ||||
\(689\) | 1154.12i | 1.67506i | ||||||||
\(690\) | −1739.08 | − | 916.847i | −2.52040 | − | 1.32876i | ||||
\(691\) | −304.936 | −0.441296 | −0.220648 | − | 0.975353i | \(-0.570817\pi\) | ||||
−0.220648 | + | 0.975353i | \(0.570817\pi\) | |||||||
\(692\) | −528.197 | − | 155.093i | −0.763290 | − | 0.224122i | ||||
\(693\) | −120.318 | + | 138.855i | −0.173619 | + | 0.200367i | ||||
\(694\) | 466.583 | + | 299.855i | 0.672310 | + | 0.432068i | ||||
\(695\) | 169.046 | + | 24.3051i | 0.243231 | + | 0.0349713i | ||||
\(696\) | −94.8995 | + | 60.9882i | −0.136350 | + | 0.0876267i | ||||
\(697\) | 368.761 | − | 168.407i | 0.529069 | − | 0.241618i | ||||
\(698\) | 199.307 | + | 230.013i | 0.285541 | + | 0.329532i | ||||
\(699\) | −228.686 | − | 1590.55i | −0.327162 | − | 2.27546i | ||||
\(700\) | −27.8620 | − | 12.7241i | −0.0398028 | − | 0.0181773i | ||||
\(701\) | 281.867 | + | 959.952i | 0.402093 | + | 1.36940i | 0.873215 | + | 0.487335i | \(0.162031\pi\) |
−0.471122 | + | 0.882068i | \(0.656151\pi\) | |||||||
\(702\) | 1147.22 | − | 336.855i | 1.63422 | − | 0.479850i | ||||
\(703\) | −81.7543 | + | 179.017i | −0.116293 | + | 0.254647i | ||||
\(704\) | 1337.08 | − | 192.243i | 1.89926 | − | 0.273073i | ||||
\(705\) | 565.696 | − | 490.178i | 0.802405 | − | 0.695288i | ||||
\(706\) | 79.2550 | + | 173.544i | 0.112259 | + | 0.245814i | ||||
\(707\) | 20.7065 | + | 32.2199i | 0.0292878 | + | 0.0455727i | ||||
\(708\) | 395.864 | − | 2753.30i | 0.559130 | − | 3.88884i | ||||
\(709\) | 244.971 | − | 381.182i | 0.345516 | − | 0.537634i | −0.624390 | − | 0.781113i | \(-0.714652\pi\) |
0.969906 | + | 0.243479i | \(0.0782888\pi\) | |||||||
\(710\) | −980.024 | − | 849.196i | −1.38032 | − | 1.19605i | ||||
\(711\) | 489.134 | − | 1665.84i | 0.687953 | − | 2.34295i | ||||
\(712\) | 263.939i | 0.370700i | ||||||||
\(713\) | −39.3959 | + | 194.773i | −0.0552537 | + | 0.273174i | ||||
\(714\) | 219.089 | 0.306848 | ||||||||
\(715\) | 962.615 | + | 282.649i | 1.34631 | + | 0.395314i | ||||
\(716\) | 96.8899 | − | 111.817i | 0.135321 | − | 0.156169i | ||||
\(717\) | −1092.37 | − | 702.023i | −1.52353 | − | 0.979112i | ||||
\(718\) | 747.102 | + | 107.417i | 1.04053 | + | 0.149606i | ||||
\(719\) | 127.002 | − | 81.6191i | 0.176637 | − | 0.113518i | −0.449335 | − | 0.893363i | \(-0.648339\pi\) |
0.625972 | + | 0.779846i | \(0.284703\pi\) | |||||||
\(720\) | 16.1068 | − | 7.35572i | 0.0223705 | − | 0.0102163i | ||||
\(721\) | −35.3852 | − | 40.8367i | −0.0490779 | − | 0.0566389i | ||||
\(722\) | −146.921 | − | 1021.86i | −0.203492 | − | 1.41532i | ||||
\(723\) | 222.401 | + | 101.567i | 0.307609 | + | 0.140480i | ||||
\(724\) | 301.685 | + | 1027.45i | 0.416692 | + | 1.41912i | ||||
\(725\) | −13.7379 | + | 4.03381i | −0.0189488 | + | 0.00556388i | ||||
\(726\) | −316.353 | + | 692.717i | −0.435748 | + | 0.954155i | ||||
\(727\) | 652.318 | − | 93.7892i | 0.897274 | − | 0.129009i | 0.321780 | − | 0.946814i | \(-0.395719\pi\) |
0.575494 | + | 0.817806i | \(0.304810\pi\) | |||||||
\(728\) | −82.3887 | + | 71.3902i | −0.113171 | + | 0.0980635i | ||||
\(729\) | −491.587 | − | 1076.43i | −0.674331 | − | 1.47658i | ||||
\(730\) | −712.975 | − | 1109.41i | −0.976679 | − | 1.51974i | ||||
\(731\) | −68.2821 | + | 474.912i | −0.0934091 | + | 0.649675i | ||||
\(732\) | −311.739 | + | 485.075i | −0.425873 | + | 0.662671i | ||||
\(733\) | 1047.40 | + | 907.578i | 1.42892 | + | 1.23817i | 0.927949 | + | 0.372707i | \(0.121570\pi\) |
0.500975 | + | 0.865462i | \(0.332975\pi\) | |||||||
\(734\) | −424.345 | + | 1445.18i | −0.578126 | + | 1.96892i | ||||
\(735\) | 1270.54i | 1.72863i | ||||||||
\(736\) | −518.564 | + | 533.960i | −0.704570 | + | 0.725489i | ||||
\(737\) | −1067.29 | −1.44816 | ||||||||
\(738\) | −1266.12 | − | 371.765i | −1.71560 | − | 0.503747i | ||||
\(739\) | −679.026 | + | 783.638i | −0.918845 | + | 1.06040i | 0.0791345 | + | 0.996864i | \(0.474784\pi\) |
−0.997979 | + | 0.0635395i | \(0.979761\pi\) | |||||||
\(740\) | −904.296 | − | 581.156i | −1.22202 | − | 0.785346i | ||||
\(741\) | 435.479 | + | 62.6124i | 0.587691 | + | 0.0844972i | ||||
\(742\) | 217.733 | − | 139.928i | 0.293440 | − | 0.188583i | ||||
\(743\) | 207.514 | − | 94.7685i | 0.279292 | − | 0.127548i | −0.270844 | − | 0.962623i | \(-0.587303\pi\) |
0.550137 | + | 0.835075i | \(0.314576\pi\) | |||||||
\(744\) | 216.569 | + | 249.934i | 0.291087 | + | 0.335933i | ||||
\(745\) | 112.580 | + | 783.014i | 0.151115 | + | 1.05103i | ||||
\(746\) | 1265.74 | + | 578.043i | 1.69670 | + | 0.774857i | ||||
\(747\) | 489.933 | + | 1668.56i | 0.655868 | + | 2.23368i | ||||
\(748\) | 1154.01 | − | 338.848i | 1.54279 | − | 0.453005i | ||||
\(749\) | −15.3262 | + | 33.5597i | −0.0204622 | + | 0.0448060i | ||||
\(750\) | 1704.12 | − | 245.016i | 2.27216 | − | 0.326688i | ||||
\(751\) | −96.3917 | + | 83.5239i | −0.128351 | + | 0.111217i | −0.716671 | − | 0.697411i | \(-0.754335\pi\) |
0.588320 | + | 0.808628i | \(0.299790\pi\) | |||||||
\(752\) | −2.64176 | − | 5.78464i | −0.00351298 | − | 0.00769234i | ||||
\(753\) | −69.3645 | − | 107.933i | −0.0921175 | − | 0.143338i | ||||
\(754\) | −19.1074 | + | 132.895i | −0.0253414 | + | 0.176253i | ||||
\(755\) | −286.855 | + | 446.355i | −0.379941 | + | 0.591199i | ||||
\(756\) | −125.053 | − | 108.359i | −0.165414 | − | 0.143332i | ||||
\(757\) | 319.858 | − | 1089.34i | 0.422534 | − | 1.43902i | −0.423504 | − | 0.905894i | \(-0.639200\pi\) |
0.846037 | − | 0.533124i | \(-0.178982\pi\) | |||||||
\(758\) | − | 628.375i | − | 0.828991i | ||||||
\(759\) | −328.909 | − | 1412.20i | −0.433345 | − | 1.86061i | ||||
\(760\) | −278.729 | −0.366748 | ||||||||
\(761\) | 1454.43 | + | 427.059i | 1.91121 | + | 0.561181i | 0.980944 | + | 0.194291i | \(0.0622407\pi\) |
0.930264 | + | 0.366890i | \(0.119577\pi\) | |||||||
\(762\) | −794.630 | + | 917.052i | −1.04282 | + | 1.20348i | ||||
\(763\) | −103.358 | − | 66.4242i | −0.135463 | − | 0.0870566i | ||||
\(764\) | −387.863 | − | 55.7662i | −0.507674 | − | 0.0729925i | ||||
\(765\) | 949.525 | − | 610.222i | 1.24121 | − | 0.797676i | ||||
\(766\) | 123.898 | − | 56.5821i | 0.161746 | − | 0.0738670i | ||||
\(767\) | −822.868 | − | 949.641i | −1.07284 | − | 1.23812i | ||||
\(768\) | 172.298 | + | 1198.36i | 0.224347 | + | 1.56036i | ||||
\(769\) | −1027.18 | − | 469.099i | −1.33574 | − | 0.610012i | −0.385840 | − | 0.922566i | \(-0.626088\pi\) |
−0.949900 | + | 0.312554i | \(0.898816\pi\) | |||||||
\(770\) | −63.3861 | − | 215.873i | −0.0823196 | − | 0.280355i | ||||
\(771\) | −1934.78 | + | 568.103i | −2.50944 | + | 0.736839i | ||||
\(772\) | −14.8768 | + | 32.5757i | −0.0192705 | + | 0.0421965i | ||||
\(773\) | −850.070 | + | 122.222i | −1.09970 | + | 0.158113i | −0.668188 | − | 0.743993i | \(-0.732930\pi\) |
−0.431514 | + | 0.902106i | \(0.642021\pi\) | |||||||
\(774\) | 1180.28 | − | 1022.72i | 1.52492 | − | 1.32135i | ||||
\(775\) | 17.4370 | + | 38.1817i | 0.0224993 | + | 0.0492666i | ||||
\(776\) | −511.085 | − | 795.263i | −0.658614 | − | 1.02482i | ||||
\(777\) | 20.5532 | − | 142.951i | 0.0264520 | − | 0.183978i | ||||
\(778\) | −534.334 | + | 831.440i | −0.686805 | + | 1.06869i | ||||
\(779\) | −137.973 | − | 119.554i | −0.177115 | − | 0.153471i | ||||
\(780\) | −677.023 | + | 2305.73i | −0.867978 | + | 2.95606i | ||||
\(781\) | − | 956.425i | − | 1.22462i | ||||||
\(782\) | −625.502 | + | 861.557i | −0.799875 | + | 1.10174i | ||||
\(783\) | −77.3480 | −0.0987842 | ||||||||
\(784\) | 10.3570 | + | 3.04110i | 0.0132105 | + | 0.00387896i | ||||
\(785\) | 556.942 | − | 642.745i | 0.709480 | − | 0.818783i | ||||
\(786\) | −277.416 | − | 178.284i | −0.352947 | − | 0.226825i | ||||
\(787\) | 287.889 | + | 41.3921i | 0.365805 | + | 0.0525948i | 0.322767 | − | 0.946479i | \(-0.395387\pi\) |
0.0430384 | + | 0.999073i | \(0.486296\pi\) | |||||||
\(788\) | −770.330 | + | 495.061i | −0.977576 | + | 0.628250i | ||||
\(789\) | −707.592 | + | 323.146i | −0.896821 | + | 0.409565i | ||||
\(790\) | 1392.24 | + | 1606.73i | 1.76233 | + | 2.03384i | ||||
\(791\) | 27.9858 | + | 194.645i | 0.0353803 | + | 0.246075i | ||||
\(792\) | −1351.62 | − | 617.266i | −1.70660 | − | 0.779376i | ||||
\(793\) | 73.3845 | + | 249.925i | 0.0925404 | + | 0.315164i | ||||
\(794\) | −412.219 | + | 121.038i | −0.519167 | + | 0.152441i | ||||
\(795\) | 899.551 | − | 1969.74i | 1.13151 | − | 2.47766i | ||||
\(796\) | 49.8075 | − | 7.16124i | 0.0625722 | − | 0.00899653i | ||||
\(797\) | −693.547 | + | 600.962i | −0.870197 | + | 0.754030i | −0.970544 | − | 0.240923i | \(-0.922550\pi\) |
0.100348 | + | 0.994952i | \(0.468004\pi\) | |||||||
\(798\) | −40.9863 | − | 89.7475i | −0.0513613 | − | 0.112466i | ||||
\(799\) | −219.157 | − | 341.016i | −0.274290 | − | 0.426803i | ||||
\(800\) | −22.3752 | + | 155.623i | −0.0279690 | + | 0.194528i | ||||
\(801\) | −260.223 | + | 404.915i | −0.324872 | + | 0.505511i | ||||
\(802\) | 1167.40 | + | 1011.56i | 1.45562 | + | 1.26130i | ||||
\(803\) | 274.028 | − | 933.253i | 0.341255 | − | 1.16221i | ||||
\(804\) | − | 2556.46i | − | 3.17968i | ||||||
\(805\) | 99.4577 | + | 72.2076i | 0.123550 | + | 0.0896989i | ||||
\(806\) | 393.607 | 0.488346 | ||||||||
\(807\) | 208.363 | + | 61.1810i | 0.258195 | + | 0.0758128i | ||||
\(808\) | −202.840 | + | 234.090i | −0.251040 | + | 0.289715i | ||||
\(809\) | 749.248 | + | 481.513i | 0.926141 | + | 0.595195i | 0.914433 | − | 0.404737i | \(-0.132637\pi\) |
0.0117080 | + | 0.999931i | \(0.496273\pi\) | |||||||
\(810\) | 48.7073 | + | 7.00305i | 0.0601325 | + | 0.00864574i | ||||
\(811\) | −1223.15 | + | 786.069i | −1.50820 | + | 0.969259i | −0.514460 | + | 0.857514i | \(0.672008\pi\) |
−0.993737 | + | 0.111745i | \(0.964356\pi\) | |||||||
\(812\) | 16.9016 | − | 7.71872i | 0.0208148 | − | 0.00950581i | ||||
\(813\) | 1252.44 | + | 1445.39i | 1.54052 | + | 1.77785i | ||||
\(814\) | −182.836 | − | 1271.65i | −0.224614 | − | 1.56222i | ||||
\(815\) | −161.960 | − | 73.9645i | −0.198724 | − | 0.0907540i | ||||
\(816\) | −4.38743 | − | 14.9422i | −0.00537675 | − | 0.0183115i | ||||
\(817\) | 207.317 | − | 60.8736i | 0.253753 | − | 0.0745087i | ||||
\(818\) | 479.432 | − | 1049.81i | 0.586103 | − | 1.28339i | ||||
\(819\) | −196.780 | + | 28.2926i | −0.240268 | + | 0.0345454i | ||||
\(820\) | 753.613 | − | 653.010i | 0.919041 | − | 0.796353i | ||||
\(821\) | 125.587 | + | 274.997i | 0.152968 | + | 0.334954i | 0.970566 | − | 0.240836i | \(-0.0774217\pi\) |
−0.817597 | + | 0.575790i | \(0.804694\pi\) | |||||||
\(822\) | 1436.62 | + | 2235.42i | 1.74771 | + | 2.71949i | ||||
\(823\) | 65.2056 | − | 453.515i | 0.0792292 | − | 0.551051i | −0.911086 | − | 0.412216i | \(-0.864755\pi\) |
0.990315 | − | 0.138835i | \(-0.0443359\pi\) | |||||||
\(824\) | 236.259 | − | 367.627i | 0.286722 | − | 0.446149i | ||||
\(825\) | −231.472 | − | 200.571i | −0.280572 | − | 0.243117i | ||||
\(826\) | −79.3898 | + | 270.377i | −0.0961136 | + | 0.327333i | ||||
\(827\) | 217.299i | 0.262756i | 0.991332 | + | 0.131378i | \(0.0419402\pi\) | ||||
−0.991332 | + | 0.131378i | \(0.958060\pi\) | |||||||
\(828\) | 2082.88 | − | 485.113i | 2.51555 | − | 0.585885i | ||||
\(829\) | 1359.45 | 1.63987 | 0.819935 | − | 0.572456i | \(-0.194009\pi\) | ||||
0.819935 | + | 0.572456i | \(0.194009\pi\) | |||||||
\(830\) | −2043.22 | − | 599.945i | −2.46172 | − | 0.722825i | ||||
\(831\) | 1088.16 | − | 1255.81i | 1.30946 | − | 1.51120i | ||||
\(832\) | 1229.61 | + | 790.225i | 1.47790 | + | 0.949790i | ||||
\(833\) | 681.063 | + | 97.9221i | 0.817603 | + | 0.117554i | ||||
\(834\) | −411.298 | + | 264.325i | −0.493163 | + | 0.316937i | ||||
\(835\) | −699.116 | + | 319.276i | −0.837265 | + | 0.382366i | ||||
\(836\) | −354.693 | − | 409.337i | −0.424274 | − | 0.489638i | ||||
\(837\) | 32.2708 | + | 224.448i | 0.0385553 | + | 0.268158i | ||||
\(838\) | −1980.20 | − | 904.327i | −2.36301 | − | 1.07915i | ||||
\(839\) | −315.093 | − | 1073.11i | −0.375558 | − | 1.27903i | −0.903073 | − | 0.429487i | \(-0.858694\pi\) |
0.527515 | − | 0.849545i | \(-0.323124\pi\) | |||||||
\(840\) | 196.257 | − | 57.6262i | 0.233639 | − | 0.0686026i | ||||
\(841\) | −345.756 | + | 757.100i | −0.411125 | + | 0.900238i | ||||
\(842\) | −1520.34 | + | 218.592i | −1.80563 | + | 0.259610i | ||||
\(843\) | −333.738 | + | 289.185i | −0.395893 | + | 0.343043i | ||||
\(844\) | −935.201 | − | 2047.80i | −1.10806 | − | 2.42631i | ||||
\(845\) | 87.6337 | + | 136.361i | 0.103709 | + | 0.161374i | ||||
\(846\) | −187.780 | + | 1306.04i | −0.221962 | + | 1.54378i | ||||
\(847\) | 25.7392 | − | 40.0510i | 0.0303887 | − | 0.0472857i | ||||
\(848\) | −13.9036 | − | 12.0475i | −0.0163957 | − | 0.0142070i | ||||
\(849\) | −584.037 | + | 1989.05i | −0.687912 | + | 2.34281i | ||||
\(850\) | 224.890i | 0.264577i | ||||||||
\(851\) | 503.467 | + | 488.950i | 0.591618 | + | 0.574559i | ||||
\(852\) | 2290.90 | 2.68885 | ||||||||
\(853\) | 179.937 | + | 52.8341i | 0.210945 | + | 0.0619392i | 0.385498 | − | 0.922709i | \(-0.374030\pi\) |
−0.174552 | + | 0.984648i | \(0.555848\pi\) | |||||||
\(854\) | 38.2528 | − | 44.1460i | 0.0447925 | − | 0.0516933i | ||||
\(855\) | −427.604 | − | 274.805i | −0.500122 | − | 0.321409i | ||||
\(856\) | −295.336 | − | 42.4629i | −0.345019 | − | 0.0496062i | ||||
\(857\) | 299.616 | − | 192.551i | 0.349610 | − | 0.224681i | −0.354036 | − | 0.935232i | \(-0.615191\pi\) |
0.703645 | + | 0.710551i | \(0.251554\pi\) | |||||||
\(858\) | −2612.52 | + | 1193.10i | −3.04489 | + | 1.39056i | ||||
\(859\) | −677.411 | − | 781.774i | −0.788604 | − | 0.910098i | 0.209095 | − | 0.977895i | \(-0.432948\pi\) |
−0.997699 | + | 0.0677973i | \(0.978403\pi\) | |||||||
\(860\) | 167.957 | + | 1168.17i | 0.195299 | + | 1.35833i | ||||
\(861\) | 121.866 | + | 55.6542i | 0.141540 | + | 0.0646391i | ||||
\(862\) | −705.954 | − | 2404.26i | −0.818972 | − | 2.78916i | ||||
\(863\) | −1107.41 | + | 325.164i | −1.28321 | + | 0.376784i | −0.851083 | − | 0.525031i | \(-0.824054\pi\) |
−0.432124 | + | 0.901814i | \(0.642236\pi\) | |||||||
\(864\) | −352.833 | + | 772.596i | −0.408371 | + | 0.894208i | ||||
\(865\) | 461.837 | − | 66.4022i | 0.533916 | − | 0.0767656i | ||||
\(866\) | 1285.20 | − | 1113.63i | 1.48406 | − | 1.28595i | ||||
\(867\) | 168.658 | + | 369.309i | 0.194530 | + | 0.425962i | ||||
\(868\) | −29.4498 | − | 45.8248i | −0.0339283 | − | 0.0527935i | ||||
\(869\) | −223.156 | + | 1552.08i | −0.256796 | + | 1.78605i | ||||
\(870\) | 136.193 | − | 211.920i | 0.156543 | − | 0.243586i | ||||
\(871\) | −872.775 | − | 756.264i | −1.00204 | − | 0.868270i | ||||
\(872\) | 279.938 | − | 953.382i | 0.321030 | − | 1.09333i | ||||
\(873\) | − | 1723.92i | − | 1.97471i | ||||||
\(874\) | 469.944 | + | 95.0535i | 0.537694 | + | 0.108757i | ||||
\(875\) | −107.632 | −0.123008 | ||||||||
\(876\) | 2235.40 | + | 656.372i | 2.55182 | + | 0.749283i | ||||
\(877\) | 451.316 | − | 520.847i | 0.514614 | − | 0.593896i | −0.437660 | − | 0.899140i | \(-0.644193\pi\) |
0.952274 | + | 0.305244i | \(0.0987382\pi\) | |||||||
\(878\) | 1152.43 | + | 740.623i | 1.31256 | + | 0.843534i | ||||
\(879\) | 1302.21 | + | 187.230i | 1.48147 | + | 0.213004i | ||||
\(880\) | −13.4535 | + | 8.64606i | −0.0152881 | + | 0.00982507i | ||||
\(881\) | 166.371 | − | 75.9791i | 0.188843 | − | 0.0862419i | −0.318749 | − | 0.947839i | \(-0.603263\pi\) |
0.507593 | + | 0.861597i | \(0.330536\pi\) | |||||||
\(882\) | −1466.67 | − | 1692.63i | −1.66289 | − | 1.91908i | ||||
\(883\) | 113.499 | + | 789.400i | 0.128537 | + | 0.893997i | 0.947410 | + | 0.320022i | \(0.103690\pi\) |
−0.818873 | + | 0.573975i | \(0.805401\pi\) | |||||||
\(884\) | 1183.79 | + | 540.618i | 1.33913 | + | 0.611559i | ||||
\(885\) | 664.219 | + | 2262.12i | 0.750530 | + | 2.55607i | ||||
\(886\) | −180.044 | + | 52.8657i | −0.203210 | + | 0.0596678i | ||||
\(887\) | 585.620 | − | 1282.33i | 0.660226 | − | 1.44569i | −0.222085 | − | 0.975027i | \(-0.571286\pi\) |
0.882311 | − | 0.470666i | \(-0.155986\pi\) | |||||||
\(888\) | 1156.10 | − | 166.221i | 1.30191 | − | 0.187186i | ||||
\(889\) | 57.3311 | − | 49.6777i | 0.0644895 | − | 0.0558804i | ||||
\(890\) | −244.846 | − | 536.138i | −0.275108 | − | 0.602402i | ||||
\(891\) | 19.6218 | + | 30.5321i | 0.0220222 | + | 0.0342672i | ||||
\(892\) | −352.538 | + | 2451.96i | −0.395222 | + | 2.74883i | ||||
\(893\) | −98.6943 | + | 153.571i | −0.110520 | + | 0.171972i | ||||
\(894\) | −1711.48 | − | 1483.01i | −1.91441 | − | 1.65885i | ||||
\(895\) | −35.3301 | + | 120.323i | −0.0394750 | + | 0.134439i | ||||
\(896\) | − | 201.192i | − | 0.224545i | ||||||
\(897\) | 731.694 | − | 1387.88i | 0.815713 | − | 1.54725i | ||||
\(898\) | −1618.45 | −1.80229 | ||||||||
\(899\) | −24.4314 | − | 7.17370i | −0.0271762 | − | 0.00797964i | ||||
\(900\) | 295.826 | − | 341.401i | 0.328695 | − | 0.379335i | ||||
\(901\) | −986.535 | − | 634.008i | −1.09493 | − | 0.703671i | ||||
\(902\) | 1179.65 | + | 169.609i | 1.30782 | + | 0.188036i | ||||
\(903\) | −133.389 | + | 85.7239i | −0.147718 | + | 0.0949324i | ||||
\(904\) | −1446.64 | + | 660.659i | −1.60027 | + | 0.730817i | ||||
\(905\) | −594.353 | − | 685.920i | −0.656744 | − | 0.757922i | ||||
\(906\) | −216.166 | − | 1503.47i | −0.238593 | − | 1.65945i | ||||
\(907\) | 1180.19 | + | 538.976i | 1.30121 | + | 0.594241i | 0.940929 | − | 0.338604i | \(-0.109955\pi\) |
0.360277 | + | 0.932845i | \(0.382682\pi\) | |||||||
\(908\) | 457.351 | + | 1557.59i | 0.503691 | + | 1.71541i | ||||
\(909\) | −541.976 | + | 159.139i | −0.596233 | + | 0.175070i | ||||
\(910\) | 101.130 | − | 221.444i | 0.111132 | − | 0.243345i | ||||
\(911\) | −705.378 | + | 101.418i | −0.774290 | + | 0.111326i | −0.518123 | − | 0.855306i | \(-0.673369\pi\) |
−0.256167 | + | 0.966632i | \(0.582460\pi\) | |||||||
\(912\) | −5.30014 | + | 4.59259i | −0.00581155 | + | 0.00503574i | ||||
\(913\) | −652.452 | − | 1428.67i | −0.714624 | − | 1.56481i | ||||
\(914\) | 271.189 | + | 421.978i | 0.296705 | + | 0.461682i | ||||
\(915\) | 69.5522 | − | 483.746i | 0.0760133 | − | 0.528684i | ||||
\(916\) | 702.805 | − | 1093.59i | 0.767254 | − | 1.19387i | ||||
\(917\) | 15.5804 | + | 13.5005i | 0.0169906 | + | 0.0147225i | ||||
\(918\) | −342.277 | + | 1165.69i | −0.372851 | + | 1.26981i | ||||
\(919\) | 1453.27i | 1.58136i | 0.612229 | + | 0.790680i | \(0.290273\pi\) | ||||
−0.612229 | + | 0.790680i | \(0.709727\pi\) | |||||||
\(920\) | −333.703 | + | 936.293i | −0.362721 | + | 1.01771i | ||||
\(921\) | 1306.59 | 1.41867 | ||||||||
\(922\) | 115.118 | + | 33.8018i | 0.124857 | + | 0.0366614i | ||||
\(923\) | 677.705 | − | 782.113i | 0.734242 | − | 0.847360i | ||||
\(924\) | 334.373 | + | 214.889i | 0.361876 | + | 0.232563i | ||||
\(925\) | 146.736 | + | 21.0974i | 0.158633 | + | 0.0228080i | ||||
\(926\) | 1534.75 | − | 986.321i | 1.65739 | − | 1.06514i | ||||
\(927\) | 724.902 | − | 331.052i | 0.781987 | − | 0.357121i | ||||
\(928\) | −62.4572 | − | 72.0794i | −0.0673030 | − | 0.0776718i | ||||
\(929\) | −32.1369 | − | 223.517i | −0.0345930 | − | 0.240600i | 0.965187 | − | 0.261560i | \(-0.0842369\pi\) |
−0.999780 | + | 0.0209599i | \(0.993328\pi\) | |||||||
\(930\) | −671.771 | − | 306.787i | −0.722334 | − | 0.329879i | ||||
\(931\) | −87.2978 | − | 297.309i | −0.0937678 | − | 0.319344i | ||||
\(932\) | −2053.83 | + | 603.060i | −2.20368 | + | 0.647060i | ||||
\(933\) | −597.107 | + | 1307.48i | −0.639986 | + | 1.40137i | ||||
\(934\) | 1080.29 | − | 155.323i | 1.15663 | − | 0.166299i | ||||
\(935\) | −770.413 | + | 667.567i | −0.823971 | + | 0.713975i | ||||
\(936\) | −667.903 | − | 1462.50i | −0.713571 | − | 1.56250i | ||||
\(937\) | −78.0792 | − | 121.494i | −0.0833289 | − | 0.129662i | 0.797087 | − | 0.603864i | \(-0.206373\pi\) |
−0.880416 | + | 0.474202i | \(0.842737\pi\) | |||||||
\(938\) | −36.8571 | + | 256.347i | −0.0392932 | + | 0.273291i | ||||
\(939\) | −1089.07 | + | 1694.63i | −1.15982 | + | 1.80471i | ||||
\(940\) | −753.558 | − | 652.962i | −0.801658 | − | 0.694640i | ||||
\(941\) | −135.597 | + | 461.802i | −0.144099 | + | 0.490757i | −0.999636 | − | 0.0269856i | \(-0.991409\pi\) |
0.855537 | + | 0.517742i | \(0.173227\pi\) | |||||||
\(942\) | 2434.69i | 2.58459i | ||||||||
\(943\) | −566.786 | + | 320.338i | −0.601045 | + | 0.339701i | ||||
\(944\) | 20.0300 | 0.0212182 | ||||||||
\(945\) | 134.566 | + | 39.5123i | 0.142398 | + | 0.0418119i | ||||
\(946\) | −923.686 | + | 1065.99i | −0.976412 | + | 1.12684i | ||||
\(947\) | 874.786 | + | 562.191i | 0.923745 | + | 0.593655i | 0.913742 | − | 0.406295i | \(-0.133180\pi\) |
0.0100027 | + | 0.999950i | \(0.496816\pi\) | |||||||
\(948\) | −3717.66 | − | 534.519i | −3.92158 | − | 0.563839i | ||||
\(949\) | 885.371 | − | 568.993i | 0.932951 | − | 0.599571i | ||||
\(950\) | 92.1238 | − | 42.0715i | 0.0969724 | − | 0.0442858i | ||||
\(951\) | −31.4331 | − | 36.2757i | −0.0330527 | − | 0.0381448i | ||||
\(952\) | −15.7643 | − | 109.643i | −0.0165592 | − | 0.115171i | ||||
\(953\) | 137.184 | + | 62.6496i | 0.143949 | + | 0.0657394i | 0.486087 | − | 0.873910i | \(-0.338424\pi\) |
−0.342138 | + | 0.939650i | \(0.611151\pi\) | |||||||
\(954\) | 1075.41 | + | 3662.52i | 1.12727 | + | 3.83912i | ||||
\(955\) | 318.670 | − | 93.5700i | 0.333686 | − | 0.0979790i | ||||
\(956\) | −718.552 | + | 1573.41i | −0.751624 | + | 1.64583i | ||||
\(957\) | 183.905 | − | 26.4416i | 0.192168 | − | 0.0276296i | ||||
\(958\) | 497.919 | − | 431.449i | 0.519748 | − | 0.450364i | ||||
\(959\) | −69.0098 | − | 151.110i | −0.0719602 | − | 0.157571i | ||||
\(960\) | −1482.67 | − | 2307.08i | −1.54445 | − | 2.40320i | ||||
\(961\) | 126.141 | − | 877.331i | 0.131260 | − | 0.912935i | ||||
\(962\) | 751.555 | − | 1169.44i | 0.781242 | − | 1.21564i | ||||
\(963\) | −411.217 | − | 356.322i | −0.427017 | − | 0.370012i | ||||
\(964\) | 91.7577 | − | 312.498i | 0.0951843 | − | 0.324168i | ||||
\(965\) | − | 30.3533i | − | 0.0314542i | ||||||
\(966\) | −350.546 | + | 30.2308i | −0.362884 | + | 0.0312949i | ||||
\(967\) | −858.605 | −0.887905 | −0.443953 | − | 0.896050i | \(-0.646424\pi\) | ||||
−0.443953 | + | 0.896050i | \(0.646424\pi\) | |||||||
\(968\) | 369.433 | + | 108.475i | 0.381646 | + | 0.112061i | ||||
\(969\) | −292.748 | + | 337.850i | −0.302114 | + | 0.348658i | ||||
\(970\) | 1775.90 | + | 1141.30i | 1.83083 | + | 1.17660i | ||||
\(971\) | −471.201 | − | 67.7485i | −0.485274 | − | 0.0697719i | −0.104664 | − | 0.994508i | \(-0.533377\pi\) |
−0.380610 | + | 0.924736i | \(0.624286\pi\) | |||||||
\(972\) | −1354.21 | + | 870.297i | −1.39322 | + | 0.895367i | ||||
\(973\) | 27.8030 | − | 12.6972i | 0.0285745 | − | 0.0130495i | ||||
\(974\) | −268.258 | − | 309.586i | −0.275419 | − | 0.317850i | ||||
\(975\) | −47.1640 | − | 328.033i | −0.0483734 | − | 0.336444i | ||||
\(976\) | −3.77687 | − | 1.72484i | −0.00386974 | − | 0.00176725i | ||||
\(977\) | −406.072 | − | 1382.95i | −0.415631 | − | 1.41551i | −0.855666 | − | 0.517529i | \(-0.826852\pi\) |
0.440035 | − | 0.897981i | \(-0.354966\pi\) | |||||||
\(978\) | 489.064 | − | 143.602i | 0.500065 | − | 0.146832i | ||||
\(979\) | 180.586 | − | 395.429i | 0.184460 | − | 0.403911i | ||||
\(980\) | 1675.25 | − | 240.864i | 1.70944 | − | 0.245780i | ||||
\(981\) | 1369.42 | − | 1186.61i | 1.39594 | − | 1.20959i | ||||
\(982\) | 206.669 | + | 452.541i | 0.210457 | + | 0.460836i | ||||
\(983\) | 213.637 | + | 332.426i | 0.217332 | + | 0.338175i | 0.932752 | − | 0.360520i | \(-0.117401\pi\) |
−0.715419 | + | 0.698695i | \(0.753764\pi\) | |||||||
\(984\) | −154.196 | + | 1072.46i | −0.156704 | + | 1.08990i | ||||
\(985\) | 419.601 | − | 652.912i | 0.425991 | − | 0.662855i | ||||
\(986\) | −103.102 | − | 89.3380i | −0.104565 | − | 0.0906065i | ||||
\(987\) | 37.7417 | − | 128.536i | 0.0382388 | − | 0.130229i | ||||
\(988\) | − | 586.063i | − | 0.593181i | ||||||
\(989\) | 43.7220 | − | 769.288i | 0.0442083 | − | 0.777845i | ||||
\(990\) | 3318.17 | 3.35168 | ||||||||
\(991\) | −471.222 | − | 138.363i | −0.475502 | − | 0.139620i | 0.0351956 | − | 0.999380i | \(-0.488795\pi\) |
−0.510697 | + | 0.859761i | \(0.670613\pi\) | |||||||
\(992\) | −183.102 | + | 211.311i | −0.184578 | + | 0.213015i | ||||
\(993\) | 44.3595 | + | 28.5081i | 0.0446722 | + | 0.0287091i | ||||
\(994\) | −229.718 | − | 33.0285i | −0.231105 | − | 0.0332278i | ||||
\(995\) | −35.8792 | + | 23.0582i | −0.0360595 | + | 0.0231741i | ||||
\(996\) | 3422.06 | − | 1562.80i | 3.43580 | − | 1.56908i | ||||
\(997\) | 504.917 | + | 582.706i | 0.506437 | + | 0.584459i | 0.950183 | − | 0.311693i | \(-0.100896\pi\) |
−0.443746 | + | 0.896153i | \(0.646351\pi\) | |||||||
\(998\) | −124.263 | − | 864.265i | −0.124512 | − | 0.865997i | ||||
\(999\) | 728.475 | + | 332.683i | 0.729204 | + | 0.333016i |
(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 | 23.3.d.a.5.1 | ✓ | 30 | |
3.2 | odd | 2 | 207.3.j.a.28.3 | 30 | |||
4.3 | odd | 2 | 368.3.p.a.97.3 | 30 | |||
23.3 | even | 11 | 529.3.b.b.528.29 | 30 | |||
23.14 | odd | 22 | inner | 23.3.d.a.14.1 | yes | 30 | |
23.20 | odd | 22 | 529.3.b.b.528.30 | 30 | |||
69.14 | even | 22 | 207.3.j.a.37.3 | 30 | |||
92.83 | even | 22 | 368.3.p.a.129.3 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.3.d.a.5.1 | ✓ | 30 | 1.1 | even | 1 | trivial | |
23.3.d.a.14.1 | yes | 30 | 23.14 | odd | 22 | inner | |
207.3.j.a.28.3 | 30 | 3.2 | odd | 2 | |||
207.3.j.a.37.3 | 30 | 69.14 | even | 22 | |||
368.3.p.a.97.3 | 30 | 4.3 | odd | 2 | |||
368.3.p.a.129.3 | 30 | 92.83 | even | 22 | |||
529.3.b.b.528.29 | 30 | 23.3 | even | 11 | |||
529.3.b.b.528.30 | 30 | 23.20 | odd | 22 |