Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [124,3,Mod(63,124)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(124, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("124.63");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 124 = 2^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 124.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.37875527807\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 63.14 | ||
Character | \(\chi\) | \(=\) | 124.63 |
Dual form | 124.3.b.a.63.13 |
$q$-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 \(\left(\mathbb{Z}/124\mathbb{Z}\right)^\times\).
\(n\) | \(63\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.616722 | + | 1.90254i | −0.308361 | + | 0.951269i | ||||
\(3\) | 5.19866i | 1.73289i | 0.499276 | + | 0.866443i | \(0.333599\pi\) | ||||
−0.499276 | + | 0.866443i | \(0.666401\pi\) | |||||||
\(4\) | −3.23931 | − | 2.34667i | −0.809827 | − | 0.586669i | ||||
\(5\) | −4.08317 | −0.816633 | −0.408317 | − | 0.912840i | \(-0.633884\pi\) | ||||
−0.408317 | + | 0.912840i | \(0.633884\pi\) | |||||||
\(6\) | −9.89065 | − | 3.20613i | −1.64844 | − | 0.534354i | ||||
\(7\) | − | 2.88507i | − | 0.412152i | −0.978536 | − | 0.206076i | \(-0.933931\pi\) | ||
0.978536 | − | 0.206076i | \(-0.0660695\pi\) | |||||||
\(8\) | 6.46239 | − | 4.71567i | 0.807799 | − | 0.589458i | ||||
\(9\) | −18.0260 | −2.00289 | ||||||||
\(10\) | 2.51818 | − | 7.76838i | 0.251818 | − | 0.776838i | ||||
\(11\) | 11.7988i | 1.07262i | 0.844020 | + | 0.536311i | \(0.180183\pi\) | ||||
−0.844020 | + | 0.536311i | \(0.819817\pi\) | |||||||
\(12\) | 12.1996 | − | 16.8401i | 1.01663 | − | 1.40334i | ||||
\(13\) | 17.6359 | 1.35661 | 0.678303 | − | 0.734782i | \(-0.262715\pi\) | ||||
0.678303 | + | 0.734782i | \(0.262715\pi\) | |||||||
\(14\) | 5.48895 | + | 1.77928i | 0.392068 | + | 0.127092i | ||||
\(15\) | − | 21.2270i | − | 1.41513i | ||||||
\(16\) | 4.98624 | + | 15.2032i | 0.311640 | + | 0.950200i | ||||
\(17\) | −28.8366 | −1.69627 | −0.848136 | − | 0.529779i | \(-0.822275\pi\) | ||||
−0.848136 | + | 0.529779i | \(0.822275\pi\) | |||||||
\(18\) | 11.1170 | − | 34.2952i | 0.617614 | − | 1.90529i | ||||
\(19\) | 5.81797i | 0.306209i | 0.988210 | + | 0.153105i | \(0.0489271\pi\) | ||||
−0.988210 | + | 0.153105i | \(0.951073\pi\) | |||||||
\(20\) | 13.2266 | + | 9.58186i | 0.661332 | + | 0.479093i | ||||
\(21\) | 14.9985 | 0.714213 | ||||||||
\(22\) | −22.4478 | − | 7.27660i | −1.02035 | − | 0.330755i | ||||
\(23\) | − | 2.06481i | − | 0.0897743i | −0.998992 | − | 0.0448872i | \(-0.985707\pi\) | ||
0.998992 | − | 0.0448872i | \(-0.0142928\pi\) | |||||||
\(24\) | 24.5151 | + | 33.5958i | 1.02146 | + | 1.39982i | ||||
\(25\) | −8.32775 | −0.333110 | ||||||||
\(26\) | −10.8764 | + | 33.5530i | −0.418325 | + | 1.29050i | ||||
\(27\) | − | 46.9233i | − | 1.73790i | ||||||
\(28\) | −6.77031 | + | 9.34562i | −0.241797 | + | 0.333772i | ||||
\(29\) | −37.9576 | −1.30888 | −0.654442 | − | 0.756112i | \(-0.727096\pi\) | ||||
−0.654442 | + | 0.756112i | \(0.727096\pi\) | |||||||
\(30\) | 40.3852 | + | 13.0911i | 1.34617 | + | 0.436371i | ||||
\(31\) | 5.56776i | 0.179605i | ||||||||
\(32\) | −31.9998 | + | 0.110369i | −0.999994 | + | 0.00344902i | ||||
\(33\) | −61.3381 | −1.85873 | ||||||||
\(34\) | 17.7842 | − | 54.8628i | 0.523064 | − | 1.61361i | ||||
\(35\) | 11.7802i | 0.336577i | ||||||||
\(36\) | 58.3919 | + | 42.3012i | 1.62200 | + | 1.17503i | ||||
\(37\) | −3.70526 | −0.100142 | −0.0500711 | − | 0.998746i | \(-0.515945\pi\) | ||||
−0.0500711 | + | 0.998746i | \(0.515945\pi\) | |||||||
\(38\) | −11.0689 | − | 3.58807i | −0.291287 | − | 0.0944229i | ||||
\(39\) | 91.6830i | 2.35084i | ||||||||
\(40\) | −26.3870 | + | 19.2548i | −0.659675 | + | 0.481371i | ||||
\(41\) | 65.9353 | 1.60818 | 0.804089 | − | 0.594508i | \(-0.202653\pi\) | ||||
0.804089 | + | 0.594508i | \(0.202653\pi\) | |||||||
\(42\) | −9.24988 | + | 28.5352i | −0.220235 | + | 0.679409i | ||||
\(43\) | 32.2078i | 0.749018i | 0.927223 | + | 0.374509i | \(0.122189\pi\) | ||||
−0.927223 | + | 0.374509i | \(0.877811\pi\) | |||||||
\(44\) | 27.6880 | − | 38.2201i | 0.629274 | − | 0.868639i | ||||
\(45\) | 73.6033 | 1.63563 | ||||||||
\(46\) | 3.92838 | + | 1.27341i | 0.0853996 | + | 0.0276829i | ||||
\(47\) | 86.0014i | 1.82982i | 0.403661 | + | 0.914909i | \(0.367738\pi\) | ||||
−0.403661 | + | 0.914909i | \(0.632262\pi\) | |||||||
\(48\) | −79.0362 | + | 25.9218i | −1.64659 | + | 0.540037i | ||||
\(49\) | 40.6764 | 0.830130 | ||||||||
\(50\) | 5.13591 | − | 15.8439i | 0.102718 | − | 0.316877i | ||||
\(51\) | − | 149.912i | − | 2.93944i | ||||||
\(52\) | −57.1281 | − | 41.3857i | −1.09862 | − | 0.795879i | ||||
\(53\) | 37.9718 | 0.716449 | 0.358224 | − | 0.933635i | \(-0.383382\pi\) | ||||
0.358224 | + | 0.933635i | \(0.383382\pi\) | |||||||
\(54\) | 89.2734 | + | 28.9386i | 1.65321 | + | 0.535900i | ||||
\(55\) | − | 48.1766i | − | 0.875939i | ||||||
\(56\) | −13.6050 | − | 18.6444i | −0.242947 | − | 0.332936i | ||||
\(57\) | −30.2456 | −0.530625 | ||||||||
\(58\) | 23.4093 | − | 72.2159i | 0.403609 | − | 1.24510i | ||||
\(59\) | 77.9154i | 1.32060i | 0.751002 | + | 0.660300i | \(0.229571\pi\) | ||||
−0.751002 | + | 0.660300i | \(0.770429\pi\) | |||||||
\(60\) | −49.8128 | + | 68.7607i | −0.830214 | + | 1.14601i | ||||
\(61\) | −11.4999 | −0.188522 | −0.0942611 | − | 0.995548i | \(-0.530049\pi\) | ||||
−0.0942611 | + | 0.995548i | \(0.530049\pi\) | |||||||
\(62\) | −10.5929 | − | 3.43376i | −0.170853 | − | 0.0553832i | ||||
\(63\) | 52.0063i | 0.825497i | ||||||||
\(64\) | 19.5250 | − | 60.9489i | 0.305078 | − | 0.952327i | ||||
\(65\) | −72.0103 | −1.10785 | ||||||||
\(66\) | 37.8286 | − | 116.698i | 0.573160 | − | 1.76815i | ||||
\(67\) | − | 33.6660i | − | 0.502477i | −0.967925 | − | 0.251239i | \(-0.919162\pi\) | ||
0.967925 | − | 0.251239i | \(-0.0808379\pi\) | |||||||
\(68\) | 93.4107 | + | 67.6701i | 1.37369 | + | 0.995149i | ||||
\(69\) | 10.7342 | 0.155569 | ||||||||
\(70\) | −22.4123 | − | 7.26511i | −0.320176 | − | 0.103787i | ||||
\(71\) | 81.9257i | 1.15388i | 0.816786 | + | 0.576941i | \(0.195754\pi\) | ||||
−0.816786 | + | 0.576941i | \(0.804246\pi\) | |||||||
\(72\) | −116.491 | + | 85.0048i | −1.61793 | + | 1.18062i | ||||
\(73\) | 5.83932 | 0.0799907 | 0.0399953 | − | 0.999200i | \(-0.487266\pi\) | ||||
0.0399953 | + | 0.999200i | \(0.487266\pi\) | |||||||
\(74\) | 2.28512 | − | 7.04941i | 0.0308800 | − | 0.0952623i | ||||
\(75\) | − | 43.2931i | − | 0.577242i | ||||||
\(76\) | 13.6529 | − | 18.8462i | 0.179643 | − | 0.247976i | ||||
\(77\) | 34.0404 | 0.442084 | ||||||||
\(78\) | −174.430 | − | 56.5429i | −2.23629 | − | 0.724909i | ||||
\(79\) | − | 32.4499i | − | 0.410758i | −0.978682 | − | 0.205379i | \(-0.934157\pi\) | ||
0.978682 | − | 0.205379i | \(-0.0658428\pi\) | |||||||
\(80\) | −20.3596 | − | 62.0772i | −0.254496 | − | 0.775965i | ||||
\(81\) | 81.7037 | 1.00869 | ||||||||
\(82\) | −40.6638 | + | 125.445i | −0.495899 | + | 1.52981i | ||||
\(83\) | − | 75.9193i | − | 0.914690i | −0.889289 | − | 0.457345i | \(-0.848800\pi\) | ||
0.889289 | − | 0.457345i | \(-0.151200\pi\) | |||||||
\(84\) | −48.5847 | − | 35.1965i | −0.578389 | − | 0.419006i | ||||
\(85\) | 117.745 | 1.38523 | ||||||||
\(86\) | −61.2765 | − | 19.8632i | −0.712518 | − | 0.230968i | ||||
\(87\) | − | 197.329i | − | 2.26815i | ||||||
\(88\) | 55.6394 | + | 76.2487i | 0.632266 | + | 0.866463i | ||||
\(89\) | −99.6659 | −1.11984 | −0.559921 | − | 0.828546i | \(-0.689168\pi\) | ||||
−0.559921 | + | 0.828546i | \(0.689168\pi\) | |||||||
\(90\) | −45.3928 | + | 140.033i | −0.504364 | + | 1.55592i | ||||
\(91\) | − | 50.8807i | − | 0.559129i | ||||||
\(92\) | −4.84544 | + | 6.68855i | −0.0526678 | + | 0.0727017i | ||||
\(93\) | −28.9449 | −0.311235 | ||||||||
\(94\) | −163.621 | − | 53.0389i | −1.74065 | − | 0.564244i | ||||
\(95\) | − | 23.7557i | − | 0.250060i | ||||||
\(96\) | −0.573768 | − | 166.356i | −0.00597675 | − | 1.73288i | ||||
\(97\) | −29.2936 | −0.301996 | −0.150998 | − | 0.988534i | \(-0.548249\pi\) | ||||
−0.150998 | + | 0.988534i | \(0.548249\pi\) | |||||||
\(98\) | −25.0860 | + | 77.3884i | −0.255980 | + | 0.789678i | ||||
\(99\) | − | 212.686i | − | 2.14835i | ||||||
\(100\) | 26.9762 | + | 19.5425i | 0.269762 | + | 0.195425i | ||||
\(101\) | 122.446 | 1.21234 | 0.606168 | − | 0.795336i | \(-0.292706\pi\) | ||||
0.606168 | + | 0.795336i | \(0.292706\pi\) | |||||||
\(102\) | 285.213 | + | 92.4538i | 2.79620 | + | 0.906410i | ||||
\(103\) | 35.5735i | 0.345374i | 0.984977 | + | 0.172687i | \(0.0552449\pi\) | ||||
−0.984977 | + | 0.172687i | \(0.944755\pi\) | |||||||
\(104\) | 113.970 | − | 83.1650i | 1.09587 | − | 0.799663i | ||||
\(105\) | −61.2412 | −0.583250 | ||||||||
\(106\) | −23.4180 | + | 72.2428i | −0.220925 | + | 0.681536i | ||||
\(107\) | 138.195i | 1.29154i | 0.763533 | + | 0.645769i | \(0.223463\pi\) | ||||
−0.763533 | + | 0.645769i | \(0.776537\pi\) | |||||||
\(108\) | −110.114 | + | 151.999i | −1.01957 | + | 1.40740i | ||||
\(109\) | 139.350 | 1.27844 | 0.639218 | − | 0.769025i | \(-0.279258\pi\) | ||||
0.639218 | + | 0.769025i | \(0.279258\pi\) | |||||||
\(110\) | 91.6579 | + | 29.7116i | 0.833254 | + | 0.270105i | ||||
\(111\) | − | 19.2624i | − | 0.173535i | ||||||
\(112\) | 43.8622 | − | 14.3856i | 0.391627 | − | 0.128443i | ||||
\(113\) | 117.767 | 1.04218 | 0.521091 | − | 0.853501i | \(-0.325525\pi\) | ||||
0.521091 | + | 0.853501i | \(0.325525\pi\) | |||||||
\(114\) | 18.6531 | − | 57.5435i | 0.163624 | − | 0.504768i | ||||
\(115\) | 8.43096i | 0.0733127i | ||||||||
\(116\) | 122.956 | + | 89.0742i | 1.05997 | + | 0.767881i | ||||
\(117\) | −317.905 | −2.71714 | ||||||||
\(118\) | −148.237 | − | 48.0521i | −1.25625 | − | 0.407221i | ||||
\(119\) | 83.1955i | 0.699122i | ||||||||
\(120\) | −100.099 | − | 137.177i | −0.834161 | − | 1.14314i | ||||
\(121\) | −18.2127 | −0.150518 | ||||||||
\(122\) | 7.09221 | − | 21.8789i | 0.0581329 | − | 0.179335i | ||||
\(123\) | 342.775i | 2.78679i | ||||||||
\(124\) | 13.0657 | − | 18.0357i | 0.105369 | − | 0.145449i | ||||
\(125\) | 136.083 | 1.08866 | ||||||||
\(126\) | −98.9440 | − | 32.0734i | −0.785270 | − | 0.254551i | ||||
\(127\) | − | 59.6277i | − | 0.469510i | −0.972055 | − | 0.234755i | \(-0.924571\pi\) | ||
0.972055 | − | 0.234755i | \(-0.0754287\pi\) | |||||||
\(128\) | 103.916 | + | 74.7356i | 0.811846 | + | 0.583872i | ||||
\(129\) | −167.437 | −1.29796 | ||||||||
\(130\) | 44.4103 | − | 137.002i | 0.341618 | − | 1.05386i | ||||
\(131\) | − | 236.069i | − | 1.80206i | −0.433761 | − | 0.901028i | \(-0.642814\pi\) | ||
0.433761 | − | 0.901028i | \(-0.357186\pi\) | |||||||
\(132\) | 198.693 | + | 143.941i | 1.50525 | + | 1.09046i | ||||
\(133\) | 16.7852 | 0.126205 | ||||||||
\(134\) | 64.0508 | + | 20.7625i | 0.477991 | + | 0.154944i | ||||
\(135\) | 191.596i | 1.41923i | ||||||||
\(136\) | −186.353 | + | 135.984i | −1.37025 | + | 0.999881i | ||||
\(137\) | −109.325 | −0.797991 | −0.398996 | − | 0.916953i | \(-0.630641\pi\) | ||||
−0.398996 | + | 0.916953i | \(0.630641\pi\) | |||||||
\(138\) | −6.62004 | + | 20.4223i | −0.0479713 | + | 0.147988i | ||||
\(139\) | − | 73.3331i | − | 0.527577i | −0.964581 | − | 0.263788i | \(-0.915028\pi\) | ||
0.964581 | − | 0.263788i | \(-0.0849720\pi\) | |||||||
\(140\) | 27.6443 | − | 38.1597i | 0.197459 | − | 0.272569i | ||||
\(141\) | −447.092 | −3.17086 | ||||||||
\(142\) | −155.867 | − | 50.5253i | −1.09765 | − | 0.355812i | ||||
\(143\) | 208.083i | 1.45513i | ||||||||
\(144\) | −89.8821 | − | 274.054i | −0.624182 | − | 1.90315i | ||||
\(145\) | 154.987 | 1.06888 | ||||||||
\(146\) | −3.60123 | + | 11.1095i | −0.0246660 | + | 0.0760927i | ||||
\(147\) | 211.463i | 1.43852i | ||||||||
\(148\) | 12.0025 | + | 8.69505i | 0.0810979 | + | 0.0587503i | ||||
\(149\) | 185.284 | 1.24352 | 0.621760 | − | 0.783208i | \(-0.286418\pi\) | ||||
0.621760 | + | 0.783208i | \(0.286418\pi\) | |||||||
\(150\) | 82.3669 | + | 26.6998i | 0.549112 | + | 0.177999i | ||||
\(151\) | 49.0128i | 0.324588i | 0.986742 | + | 0.162294i | \(0.0518893\pi\) | ||||
−0.986742 | + | 0.162294i | \(0.948111\pi\) | |||||||
\(152\) | 27.4356 | + | 37.5980i | 0.180497 | + | 0.247355i | ||||
\(153\) | 519.810 | 3.39745 | ||||||||
\(154\) | −20.9935 | + | 64.7633i | −0.136321 | + | 0.420541i | ||||
\(155\) | − | 22.7341i | − | 0.146672i | ||||||
\(156\) | 215.150 | − | 296.989i | 1.37917 | − | 1.90378i | ||||
\(157\) | −200.362 | −1.27619 | −0.638095 | − | 0.769957i | \(-0.720277\pi\) | ||||
−0.638095 | + | 0.769957i | \(0.720277\pi\) | |||||||
\(158\) | 61.7372 | + | 20.0126i | 0.390742 | + | 0.126662i | ||||
\(159\) | 197.402i | 1.24152i | ||||||||
\(160\) | 130.661 | − | 0.450653i | 0.816628 | − | 0.00281658i | ||||
\(161\) | −5.95711 | −0.0370007 | ||||||||
\(162\) | −50.3884 | + | 155.444i | −0.311040 | + | 0.959534i | ||||
\(163\) | 126.952i | 0.778849i | 0.921058 | + | 0.389425i | \(0.127326\pi\) | ||||
−0.921058 | + | 0.389425i | \(0.872674\pi\) | |||||||
\(164\) | −213.585 | − | 154.729i | −1.30235 | − | 0.943468i | ||||
\(165\) | 250.454 | 1.51790 | ||||||||
\(166\) | 144.439 | + | 46.8211i | 0.870117 | + | 0.282055i | ||||
\(167\) | − | 296.001i | − | 1.77246i | −0.463243 | − | 0.886232i | \(-0.653314\pi\) | ||
0.463243 | − | 0.886232i | \(-0.346686\pi\) | |||||||
\(168\) | 96.9260 | − | 70.7278i | 0.576940 | − | 0.420999i | ||||
\(169\) | 142.025 | 0.840382 | ||||||||
\(170\) | −72.6157 | + | 224.014i | −0.427151 | + | 1.31773i | ||||
\(171\) | − | 104.875i | − | 0.613304i | ||||||
\(172\) | 75.5812 | − | 104.331i | 0.439425 | − | 0.606575i | ||||
\(173\) | −219.573 | −1.26921 | −0.634605 | − | 0.772836i | \(-0.718837\pi\) | ||||
−0.634605 | + | 0.772836i | \(0.718837\pi\) | |||||||
\(174\) | 375.426 | + | 121.697i | 2.15762 | + | 0.699408i | ||||
\(175\) | 24.0261i | 0.137292i | ||||||||
\(176\) | −179.380 | + | 58.8319i | −1.01921 | + | 0.334272i | ||||
\(177\) | −405.055 | −2.28845 | ||||||||
\(178\) | 61.4661 | − | 189.618i | 0.345315 | − | 1.06527i | ||||
\(179\) | 173.777i | 0.970822i | 0.874286 | + | 0.485411i | \(0.161330\pi\) | ||||
−0.874286 | + | 0.485411i | \(0.838670\pi\) | |||||||
\(180\) | −238.424 | − | 172.723i | −1.32458 | − | 0.959572i | ||||
\(181\) | 172.573 | 0.953444 | 0.476722 | − | 0.879054i | \(-0.341825\pi\) | ||||
0.476722 | + | 0.879054i | \(0.341825\pi\) | |||||||
\(182\) | 96.8025 | + | 31.3792i | 0.531882 | + | 0.172413i | ||||
\(183\) | − | 59.7838i | − | 0.326688i | ||||||
\(184\) | −9.73695 | − | 13.3436i | −0.0529182 | − | 0.0725196i | ||||
\(185\) | 15.1292 | 0.0817795 | ||||||||
\(186\) | 17.8509 | − | 55.0688i | 0.0959728 | − | 0.296069i | ||||
\(187\) | − | 340.239i | − | 1.81946i | ||||||
\(188\) | 201.817 | − | 278.585i | 1.07350 | − | 1.48184i | ||||
\(189\) | −135.377 | −0.716279 | ||||||||
\(190\) | 45.1962 | + | 14.6507i | 0.237875 | + | 0.0771089i | ||||
\(191\) | 17.1971i | 0.0900372i | 0.998986 | + | 0.0450186i | \(0.0143347\pi\) | ||||
−0.998986 | + | 0.0450186i | \(0.985665\pi\) | |||||||
\(192\) | 316.853 | + | 101.504i | 1.65027 | + | 0.528665i | ||||
\(193\) | −305.682 | −1.58384 | −0.791921 | − | 0.610623i | \(-0.790919\pi\) | ||||
−0.791921 | + | 0.610623i | \(0.790919\pi\) | |||||||
\(194\) | 18.0660 | − | 55.7322i | 0.0931236 | − | 0.287279i | ||||
\(195\) | − | 374.357i | − | 1.91978i | ||||||
\(196\) | −131.763 | − | 95.4542i | −0.672262 | − | 0.487011i | ||||
\(197\) | 5.97501 | 0.0303300 | 0.0151650 | − | 0.999885i | \(-0.495173\pi\) | ||||
0.0151650 | + | 0.999885i | \(0.495173\pi\) | |||||||
\(198\) | 404.644 | + | 131.168i | 2.04366 | + | 0.662466i | ||||
\(199\) | 101.227i | 0.508676i | 0.967115 | + | 0.254338i | \(0.0818576\pi\) | ||||
−0.967115 | + | 0.254338i | \(0.918142\pi\) | |||||||
\(200\) | −53.8172 | + | 39.2709i | −0.269086 | + | 0.196354i | ||||
\(201\) | 175.018 | 0.870736 | ||||||||
\(202\) | −75.5151 | + | 232.958i | −0.373837 | + | 1.15326i | ||||
\(203\) | 109.510i | 0.539459i | ||||||||
\(204\) | −351.794 | + | 485.610i | −1.72448 | + | 2.38044i | ||||
\(205\) | −269.225 | −1.31329 | ||||||||
\(206\) | −67.6800 | − | 21.9390i | −0.328544 | − | 0.106500i | ||||
\(207\) | 37.2203i | 0.179808i | ||||||||
\(208\) | 87.9368 | + | 268.122i | 0.422773 | + | 1.28905i | ||||
\(209\) | −68.6453 | −0.328447 | ||||||||
\(210\) | 37.7688 | − | 116.514i | 0.179851 | − | 0.554828i | ||||
\(211\) | 184.704i | 0.875376i | 0.899127 | + | 0.437688i | \(0.144203\pi\) | ||||
−0.899127 | + | 0.437688i | \(0.855797\pi\) | |||||||
\(212\) | −123.002 | − | 89.1074i | −0.580200 | − | 0.420318i | ||||
\(213\) | −425.903 | −1.99955 | ||||||||
\(214\) | −262.921 | − | 85.2276i | −1.22860 | − | 0.398260i | ||||
\(215\) | − | 131.510i | − | 0.611673i | ||||||
\(216\) | −221.274 | − | 303.237i | −1.02442 | − | 1.40387i | ||||
\(217\) | 16.0634 | 0.0740247 | ||||||||
\(218\) | −85.9399 | + | 265.118i | −0.394220 | + | 1.21614i | ||||
\(219\) | 30.3566i | 0.138615i | ||||||||
\(220\) | −113.055 | + | 156.059i | −0.513886 | + | 0.709359i | ||||
\(221\) | −508.559 | −2.30117 | ||||||||
\(222\) | 36.6475 | + | 11.8795i | 0.165079 | + | 0.0535114i | ||||
\(223\) | − | 37.2670i | − | 0.167117i | −0.996503 | − | 0.0835583i | \(-0.973372\pi\) | ||
0.996503 | − | 0.0835583i | \(-0.0266285\pi\) | |||||||
\(224\) | 0.318421 | + | 92.3216i | 0.00142152 | + | 0.412150i | ||||
\(225\) | 150.116 | 0.667184 | ||||||||
\(226\) | −72.6292 | + | 224.055i | −0.321368 | + | 0.991395i | ||||
\(227\) | − | 453.190i | − | 1.99643i | −0.0597241 | − | 0.998215i | \(-0.519022\pi\) | ||
0.0597241 | − | 0.998215i | \(-0.480978\pi\) | |||||||
\(228\) | 97.9750 | + | 70.9767i | 0.429715 | + | 0.311301i | ||||
\(229\) | 195.329 | 0.852967 | 0.426484 | − | 0.904495i | \(-0.359752\pi\) | ||||
0.426484 | + | 0.904495i | \(0.359752\pi\) | |||||||
\(230\) | −16.0402 | − | 5.19956i | −0.0697401 | − | 0.0226068i | ||||
\(231\) | 176.965i | 0.766081i | ||||||||
\(232\) | −245.297 | + | 178.996i | −1.05731 | + | 0.771532i | ||||
\(233\) | 35.0444 | 0.150405 | 0.0752026 | − | 0.997168i | \(-0.476040\pi\) | ||||
0.0752026 | + | 0.997168i | \(0.476040\pi\) | |||||||
\(234\) | 196.059 | − | 604.827i | 0.837859 | − | 2.58473i | ||||
\(235\) | − | 351.158i | − | 1.49429i | ||||||
\(236\) | 182.842 | − | 252.392i | 0.774754 | − | 1.06946i | ||||
\(237\) | 168.696 | 0.711797 | ||||||||
\(238\) | −158.283 | − | 51.3085i | −0.665053 | − | 0.215582i | ||||
\(239\) | − | 53.7131i | − | 0.224741i | −0.993666 | − | 0.112370i | \(-0.964156\pi\) | ||
0.993666 | − | 0.112370i | \(-0.0358443\pi\) | |||||||
\(240\) | 322.718 | − | 105.843i | 1.34466 | − | 0.441012i | ||||
\(241\) | 230.487 | 0.956378 | 0.478189 | − | 0.878257i | \(-0.341293\pi\) | ||||
0.478189 | + | 0.878257i | \(0.341293\pi\) | |||||||
\(242\) | 11.2322 | − | 34.6504i | 0.0464140 | − | 0.143184i | ||||
\(243\) | 2.44004i | 0.0100413i | ||||||||
\(244\) | 37.2516 | + | 26.9864i | 0.152670 | + | 0.110600i | ||||
\(245\) | −166.088 | −0.677912 | ||||||||
\(246\) | −652.143 | − | 211.397i | −2.65099 | − | 0.859337i | ||||
\(247\) | 102.605i | 0.415405i | ||||||||
\(248\) | 26.2557 | + | 35.9811i | 0.105870 | + | 0.145085i | ||||
\(249\) | 394.678 | 1.58505 | ||||||||
\(250\) | −83.9252 | + | 258.903i | −0.335701 | + | 1.03561i | ||||
\(251\) | − | 10.1618i | − | 0.0404853i | −0.999795 | − | 0.0202426i | \(-0.993556\pi\) | ||
0.999795 | − | 0.0202426i | \(-0.00644387\pi\) | |||||||
\(252\) | 122.042 | − | 168.464i | 0.484293 | − | 0.668510i | ||||
\(253\) | 24.3624 | 0.0962939 | ||||||||
\(254\) | 113.444 | + | 36.7737i | 0.446630 | + | 0.144778i | ||||
\(255\) | 612.114i | 2.40045i | ||||||||
\(256\) | −206.275 | + | 151.614i | −0.805761 | + | 0.592241i | ||||
\(257\) | −180.978 | −0.704196 | −0.352098 | − | 0.935963i | \(-0.614532\pi\) | ||||
−0.352098 | + | 0.935963i | \(0.614532\pi\) | |||||||
\(258\) | 103.262 | − | 318.556i | 0.400241 | − | 1.23471i | ||||
\(259\) | 10.6899i | 0.0412739i | ||||||||
\(260\) | 233.263 | + | 168.985i | 0.897167 | + | 0.649941i | ||||
\(261\) | 684.226 | 2.62155 | ||||||||
\(262\) | 449.131 | + | 145.589i | 1.71424 | + | 0.555684i | ||||
\(263\) | 344.798i | 1.31102i | 0.755187 | + | 0.655510i | \(0.227546\pi\) | ||||
−0.755187 | + | 0.655510i | \(0.772454\pi\) | |||||||
\(264\) | −396.391 | + | 289.250i | −1.50148 | + | 1.09564i | ||||
\(265\) | −155.045 | −0.585076 | ||||||||
\(266\) | −10.3518 | + | 31.9346i | −0.0389166 | + | 0.120055i | ||||
\(267\) | − | 518.129i | − | 1.94056i | ||||||
\(268\) | −79.0031 | + | 109.055i | −0.294788 | + | 0.406920i | ||||
\(269\) | −239.054 | −0.888676 | −0.444338 | − | 0.895859i | \(-0.646561\pi\) | ||||
−0.444338 | + | 0.895859i | \(0.646561\pi\) | |||||||
\(270\) | −364.518 | − | 118.161i | −1.35007 | − | 0.437634i | ||||
\(271\) | 88.9581i | 0.328259i | 0.986439 | + | 0.164129i | \(0.0524814\pi\) | ||||
−0.986439 | + | 0.164129i | \(0.947519\pi\) | |||||||
\(272\) | −143.786 | − | 438.409i | −0.528626 | − | 1.61180i | ||||
\(273\) | 264.511 | 0.968906 | ||||||||
\(274\) | 67.4230 | − | 207.995i | 0.246069 | − | 0.759105i | ||||
\(275\) | − | 98.2579i | − | 0.357301i | ||||||
\(276\) | −34.7715 | − | 25.1898i | −0.125984 | − | 0.0912672i | ||||
\(277\) | 357.306 | 1.28991 | 0.644956 | − | 0.764220i | \(-0.276876\pi\) | ||||
0.644956 | + | 0.764220i | \(0.276876\pi\) | |||||||
\(278\) | 139.519 | + | 45.2261i | 0.501867 | + | 0.162684i | ||||
\(279\) | − | 100.365i | − | 0.359730i | ||||||
\(280\) | 55.5515 | + | 76.1283i | 0.198398 | + | 0.271887i | ||||
\(281\) | −63.1400 | −0.224697 | −0.112349 | − | 0.993669i | \(-0.535837\pi\) | ||||
−0.112349 | + | 0.993669i | \(0.535837\pi\) | |||||||
\(282\) | 275.731 | − | 850.610i | 0.977770 | − | 3.01635i | ||||
\(283\) | 255.886i | 0.904189i | 0.891970 | + | 0.452095i | \(0.149323\pi\) | ||||
−0.891970 | + | 0.452095i | \(0.850677\pi\) | |||||||
\(284\) | 192.253 | − | 265.383i | 0.676947 | − | 0.934445i | ||||
\(285\) | 123.498 | 0.433326 | ||||||||
\(286\) | −395.886 | − | 128.329i | −1.38422 | − | 0.448704i | ||||
\(287\) | − | 190.228i | − | 0.662815i | ||||||
\(288\) | 576.830 | − | 1.98951i | 2.00288 | − | 0.00690801i | ||||
\(289\) | 542.550 | 1.87734 | ||||||||
\(290\) | −95.5841 | + | 294.869i | −0.329600 | + | 1.01679i | ||||
\(291\) | − | 152.287i | − | 0.523324i | ||||||
\(292\) | −18.9154 | − | 13.7030i | −0.0647786 | − | 0.0469280i | ||||
\(293\) | 21.1762 | 0.0722737 | 0.0361369 | − | 0.999347i | \(-0.488495\pi\) | ||||
0.0361369 | + | 0.999347i | \(0.488495\pi\) | |||||||
\(294\) | −402.316 | − | 130.414i | −1.36842 | − | 0.443584i | ||||
\(295\) | − | 318.141i | − | 1.07845i | ||||||
\(296\) | −23.9449 | + | 17.4728i | −0.0808948 | + | 0.0590297i | ||||
\(297\) | 553.640 | 1.86411 | ||||||||
\(298\) | −114.269 | + | 352.511i | −0.383453 | + | 1.18292i | ||||
\(299\) | − | 36.4148i | − | 0.121788i | ||||||
\(300\) | −101.595 | + | 140.240i | −0.338650 | + | 0.467466i | ||||
\(301\) | 92.9215 | 0.308709 | ||||||||
\(302\) | −93.2488 | − | 30.2273i | −0.308771 | − | 0.100090i | ||||
\(303\) | 636.555i | 2.10084i | ||||||||
\(304\) | −88.4518 | + | 29.0098i | −0.290960 | + | 0.0954270i | ||||
\(305\) | 46.9558 | 0.153954 | ||||||||
\(306\) | −320.578 | + | 988.958i | −1.04764 | + | 3.23189i | ||||
\(307\) | 263.842i | 0.859421i | 0.902967 | + | 0.429711i | \(0.141384\pi\) | ||||
−0.902967 | + | 0.429711i | \(0.858616\pi\) | |||||||
\(308\) | −110.268 | − | 79.8818i | −0.358011 | − | 0.259357i | ||||
\(309\) | −184.935 | −0.598494 | ||||||||
\(310\) | 43.2525 | + | 14.0206i | 0.139524 | + | 0.0452278i | ||||
\(311\) | 131.847i | 0.423944i | 0.977276 | + | 0.211972i | \(0.0679886\pi\) | ||||
−0.977276 | + | 0.211972i | \(0.932011\pi\) | |||||||
\(312\) | 432.346 | + | 592.491i | 1.38572 | + | 1.89901i | ||||
\(313\) | −84.4154 | −0.269698 | −0.134849 | − | 0.990866i | \(-0.543055\pi\) | ||||
−0.134849 | + | 0.990866i | \(0.543055\pi\) | |||||||
\(314\) | 123.568 | − | 381.196i | 0.393527 | − | 1.21400i | ||||
\(315\) | − | 212.350i | − | 0.674128i | ||||||
\(316\) | −76.1494 | + | 105.115i | −0.240979 | + | 0.332643i | ||||
\(317\) | 295.224 | 0.931307 | 0.465654 | − | 0.884967i | \(-0.345819\pi\) | ||||
0.465654 | + | 0.884967i | \(0.345819\pi\) | |||||||
\(318\) | −375.566 | − | 121.742i | −1.18102 | − | 0.382837i | ||||
\(319\) | − | 447.856i | − | 1.40394i | ||||||
\(320\) | −79.7238 | + | 248.865i | −0.249137 | + | 0.777702i | ||||
\(321\) | −718.426 | −2.23809 | ||||||||
\(322\) | 3.67388 | − | 11.3336i | 0.0114096 | − | 0.0351976i | ||||
\(323\) | − | 167.771i | − | 0.519414i | ||||||
\(324\) | −264.663 | − | 191.732i | −0.816863 | − | 0.591765i | ||||
\(325\) | −146.867 | −0.451899 | ||||||||
\(326\) | −241.532 | − | 78.2943i | −0.740895 | − | 0.240167i | ||||
\(327\) | 724.431i | 2.21539i | ||||||||
\(328\) | 426.100 | − | 310.929i | 1.29909 | − | 0.947954i | ||||
\(329\) | 248.120 | 0.754163 | ||||||||
\(330\) | −154.460 | + | 476.498i | −0.468062 | + | 1.44393i | ||||
\(331\) | 491.721i | 1.48556i | 0.669535 | + | 0.742780i | \(0.266493\pi\) | ||||
−0.669535 | + | 0.742780i | \(0.733507\pi\) | |||||||
\(332\) | −178.158 | + | 245.926i | −0.536620 | + | 0.740741i | ||||
\(333\) | 66.7912 | 0.200574 | ||||||||
\(334\) | 563.154 | + | 182.550i | 1.68609 | + | 0.546558i | ||||
\(335\) | 137.464i | 0.410340i | ||||||||
\(336\) | 74.7860 | + | 228.025i | 0.222577 | + | 0.678645i | ||||
\(337\) | 39.4159 | 0.116961 | 0.0584806 | − | 0.998289i | \(-0.481374\pi\) | ||||
0.0584806 | + | 0.998289i | \(0.481374\pi\) | |||||||
\(338\) | −87.5897 | + | 270.207i | −0.259141 | + | 0.799430i | ||||
\(339\) | 612.228i | 1.80598i | ||||||||
\(340\) | −381.411 | − | 276.308i | −1.12180 | − | 0.812672i | ||||
\(341\) | −65.6932 | −0.192649 | ||||||||
\(342\) | 199.529 | + | 64.6787i | 0.583417 | + | 0.189119i | ||||
\(343\) | − | 258.722i | − | 0.754292i | ||||||
\(344\) | 151.881 | + | 208.139i | 0.441515 | + | 0.605056i | ||||
\(345\) | −43.8297 | −0.127043 | ||||||||
\(346\) | 135.416 | − | 417.747i | 0.391375 | − | 1.20736i | ||||
\(347\) | 297.893i | 0.858480i | 0.903190 | + | 0.429240i | \(0.141219\pi\) | ||||
−0.903190 | + | 0.429240i | \(0.858781\pi\) | |||||||
\(348\) | −463.066 | + | 639.209i | −1.33065 | + | 1.83681i | ||||
\(349\) | 23.2639 | 0.0666589 | 0.0333294 | − | 0.999444i | \(-0.489389\pi\) | ||||
0.0333294 | + | 0.999444i | \(0.489389\pi\) | |||||||
\(350\) | −45.7106 | − | 14.8174i | −0.130602 | − | 0.0423355i | ||||
\(351\) | − | 827.534i | − | 2.35765i | ||||||
\(352\) | −1.30222 | − | 377.561i | −0.00369949 | − | 1.07262i | ||||
\(353\) | −361.323 | −1.02358 | −0.511789 | − | 0.859111i | \(-0.671017\pi\) | ||||
−0.511789 | + | 0.859111i | \(0.671017\pi\) | |||||||
\(354\) | 249.806 | − | 770.633i | 0.705668 | − | 2.17693i | ||||
\(355\) | − | 334.516i | − | 0.942299i | ||||||
\(356\) | 322.849 | + | 233.883i | 0.906878 | + | 0.656976i | ||||
\(357\) | −432.505 | −1.21150 | ||||||||
\(358\) | −330.618 | − | 107.172i | −0.923514 | − | 0.299364i | ||||
\(359\) | − | 57.2247i | − | 0.159400i | −0.996819 | − | 0.0797002i | \(-0.974604\pi\) | ||
0.996819 | − | 0.0797002i | \(-0.0253963\pi\) | |||||||
\(360\) | 475.653 | − | 347.089i | 1.32126 | − | 0.964135i | ||||
\(361\) | 327.151 | 0.906236 | ||||||||
\(362\) | −106.430 | + | 328.328i | −0.294005 | + | 0.906982i | ||||
\(363\) | − | 94.6818i | − | 0.260831i | ||||||
\(364\) | −119.400 | + | 164.818i | −0.328023 | + | 0.452798i | ||||
\(365\) | −23.8429 | −0.0653230 | ||||||||
\(366\) | 113.741 | + | 36.8700i | 0.310768 | + | 0.100738i | ||||
\(367\) | − | 576.416i | − | 1.57062i | −0.619105 | − | 0.785309i | \(-0.712504\pi\) | ||
0.619105 | − | 0.785309i | \(-0.287496\pi\) | |||||||
\(368\) | 31.3917 | − | 10.2956i | 0.0853036 | − | 0.0279773i | ||||
\(369\) | −1188.55 | −3.22101 | ||||||||
\(370\) | −9.33051 | + | 28.7839i | −0.0252176 | + | 0.0777943i | ||||
\(371\) | − | 109.551i | − | 0.295286i | ||||||
\(372\) | 93.7615 | + | 67.9242i | 0.252047 | + | 0.182592i | ||||
\(373\) | 157.361 | 0.421880 | 0.210940 | − | 0.977499i | \(-0.432348\pi\) | ||||
0.210940 | + | 0.977499i | \(0.432348\pi\) | |||||||
\(374\) | 647.317 | + | 209.833i | 1.73080 | + | 0.561050i | ||||
\(375\) | 707.448i | 1.88653i | ||||||||
\(376\) | 405.554 | + | 555.775i | 1.07860 | + | 1.47812i | ||||
\(377\) | −669.417 | −1.77564 | ||||||||
\(378\) | 83.4898 | − | 257.560i | 0.220872 | − | 0.681374i | ||||
\(379\) | − | 113.181i | − | 0.298629i | −0.988790 | − | 0.149315i | \(-0.952293\pi\) | ||
0.988790 | − | 0.149315i | \(-0.0477067\pi\) | |||||||
\(380\) | −55.7470 | + | 76.9522i | −0.146703 | + | 0.202506i | ||||
\(381\) | 309.984 | 0.813607 | ||||||||
\(382\) | −32.7182 | − | 10.6058i | −0.0856496 | − | 0.0277640i | ||||
\(383\) | − | 587.981i | − | 1.53520i | −0.640930 | − | 0.767599i | \(-0.721451\pi\) | ||
0.640930 | − | 0.767599i | \(-0.278549\pi\) | |||||||
\(384\) | −388.525 | + | 540.225i | −1.01178 | + | 1.40684i | ||||
\(385\) | −138.993 | −0.361020 | ||||||||
\(386\) | 188.521 | − | 581.571i | 0.488395 | − | 1.50666i | ||||
\(387\) | − | 580.579i | − | 1.50020i | ||||||
\(388\) | 94.8909 | + | 68.7425i | 0.244564 | + | 0.177171i | ||||
\(389\) | 144.704 | 0.371991 | 0.185995 | − | 0.982551i | \(-0.440449\pi\) | ||||
0.185995 | + | 0.982551i | \(0.440449\pi\) | |||||||
\(390\) | 712.228 | + | 230.874i | 1.82623 | + | 0.591984i | ||||
\(391\) | 59.5421i | 0.152282i | ||||||||
\(392\) | 262.867 | − | 191.816i | 0.670578 | − | 0.489327i | ||||
\(393\) | 1227.24 | 3.12276 | ||||||||
\(394\) | −3.68492 | + | 11.3677i | −0.00935259 | + | 0.0288520i | ||||
\(395\) | 132.498i | 0.335439i | ||||||||
\(396\) | −499.106 | + | 688.957i | −1.26037 | + | 1.73979i | ||||
\(397\) | 594.768 | 1.49816 | 0.749078 | − | 0.662482i | \(-0.230497\pi\) | ||||
0.749078 | + | 0.662482i | \(0.230497\pi\) | |||||||
\(398\) | −192.587 | − | 62.4286i | −0.483888 | − | 0.156856i | ||||
\(399\) | 87.2607i | 0.218698i | ||||||||
\(400\) | −41.5242 | − | 126.609i | −0.103810 | − | 0.316521i | ||||
\(401\) | 257.484 | 0.642106 | 0.321053 | − | 0.947061i | \(-0.395963\pi\) | ||||
0.321053 | + | 0.947061i | \(0.395963\pi\) | |||||||
\(402\) | −107.937 | + | 332.978i | −0.268501 | + | 0.828304i | ||||
\(403\) | 98.1925i | 0.243654i | ||||||||
\(404\) | −396.640 | − | 287.341i | −0.981783 | − | 0.711240i | ||||
\(405\) | −333.610 | −0.823728 | ||||||||
\(406\) | −208.348 | − | 67.5374i | −0.513171 | − | 0.166348i | ||||
\(407\) | − | 43.7178i | − | 0.107415i | ||||||
\(408\) | −706.933 | − | 968.788i | −1.73268 | − | 2.37448i | ||||
\(409\) | −343.669 | −0.840267 | −0.420134 | − | 0.907462i | \(-0.638017\pi\) | ||||
−0.420134 | + | 0.907462i | \(0.638017\pi\) | |||||||
\(410\) | 166.037 | − | 512.211i | 0.404968 | − | 1.24929i | ||||
\(411\) | − | 568.342i | − | 1.38283i | ||||||
\(412\) | 83.4794 | − | 115.234i | 0.202620 | − | 0.279693i | ||||
\(413\) | 224.791 | 0.544288 | ||||||||
\(414\) | −70.8131 | − | 22.9546i | −0.171046 | − | 0.0554459i | ||||
\(415\) | 309.991i | 0.746966i | ||||||||
\(416\) | −564.345 | + | 1.94645i | −1.35660 | + | 0.00467896i | ||||
\(417\) | 381.234 | 0.914230 | ||||||||
\(418\) | 42.3351 | − | 130.600i | 0.101280 | − | 0.312441i | ||||
\(419\) | 76.0507i | 0.181505i | 0.995873 | + | 0.0907526i | \(0.0289273\pi\) | ||||
−0.995873 | + | 0.0907526i | \(0.971073\pi\) | |||||||
\(420\) | 198.379 | + | 143.713i | 0.472332 | + | 0.342174i | ||||
\(421\) | 41.0940 | 0.0976105 | 0.0488052 | − | 0.998808i | \(-0.484459\pi\) | ||||
0.0488052 | + | 0.998808i | \(0.484459\pi\) | |||||||
\(422\) | −351.407 | − | 113.911i | −0.832719 | − | 0.269932i | ||||
\(423\) | − | 1550.26i | − | 3.66493i | ||||||
\(424\) | 245.389 | − | 179.062i | 0.578747 | − | 0.422317i | ||||
\(425\) | 240.144 | 0.565045 | ||||||||
\(426\) | 262.664 | − | 810.298i | 0.616582 | − | 1.90211i | ||||
\(427\) | 33.1778i | 0.0776999i | ||||||||
\(428\) | 324.298 | − | 447.655i | 0.757705 | − | 1.04592i | ||||
\(429\) | −1081.75 | −2.52157 | ||||||||
\(430\) | 250.202 | + | 81.1049i | 0.581866 | + | 0.188616i | ||||
\(431\) | − | 340.759i | − | 0.790625i | −0.918547 | − | 0.395313i | \(-0.870636\pi\) | ||
0.918547 | − | 0.395313i | \(-0.129364\pi\) | |||||||
\(432\) | 713.384 | − | 233.971i | 1.65135 | − | 0.541599i | ||||
\(433\) | −710.825 | −1.64163 | −0.820814 | − | 0.571196i | \(-0.806480\pi\) | ||||
−0.820814 | + | 0.571196i | \(0.806480\pi\) | |||||||
\(434\) | −9.90663 | + | 30.5612i | −0.0228263 | + | 0.0704175i | ||||
\(435\) | 805.726i | 1.85224i | ||||||||
\(436\) | −451.396 | − | 327.008i | −1.03531 | − | 0.750019i | ||||
\(437\) | 12.0130 | 0.0274897 | ||||||||
\(438\) | −57.7546 | − | 18.7216i | −0.131860 | − | 0.0427433i | ||||
\(439\) | − | 26.8818i | − | 0.0612341i | −0.999531 | − | 0.0306171i | \(-0.990253\pi\) | ||
0.999531 | − | 0.0306171i | \(-0.00974723\pi\) | |||||||
\(440\) | −227.185 | − | 311.336i | −0.516329 | − | 0.707583i | ||||
\(441\) | −733.234 | −1.66266 | ||||||||
\(442\) | 313.640 | − | 967.554i | 0.709592 | − | 2.18904i | ||||
\(443\) | 374.998i | 0.846496i | 0.906014 | + | 0.423248i | \(0.139110\pi\) | ||||
−0.906014 | + | 0.423248i | \(0.860890\pi\) | |||||||
\(444\) | −45.2026 | + | 62.3968i | −0.101808 | + | 0.140533i | ||||
\(445\) | 406.952 | 0.914500 | ||||||||
\(446\) | 70.9019 | + | 22.9834i | 0.158973 | + | 0.0515322i | ||||
\(447\) | 963.230i | 2.15488i | ||||||||
\(448\) | −175.842 | − | 56.3309i | −0.392504 | − | 0.125739i | ||||
\(449\) | −458.285 | −1.02068 | −0.510339 | − | 0.859973i | \(-0.670480\pi\) | ||||
−0.510339 | + | 0.859973i | \(0.670480\pi\) | |||||||
\(450\) | −92.5800 | + | 285.602i | −0.205733 | + | 0.634672i | ||||
\(451\) | 777.961i | 1.72497i | ||||||||
\(452\) | −381.482 | − | 276.360i | −0.843987 | − | 0.611415i | ||||
\(453\) | −254.801 | −0.562474 | ||||||||
\(454\) | 862.211 | + | 279.492i | 1.89914 | + | 0.615621i | ||||
\(455\) | 207.754i | 0.456603i | ||||||||
\(456\) | −195.459 | + | 142.628i | −0.428639 | + | 0.312781i | ||||
\(457\) | −438.681 | −0.959914 | −0.479957 | − | 0.877292i | \(-0.659348\pi\) | ||||
−0.479957 | + | 0.877292i | \(0.659348\pi\) | |||||||
\(458\) | −120.464 | + | 371.622i | −0.263022 | + | 0.811402i | ||||
\(459\) | 1353.11i | 2.94795i | ||||||||
\(460\) | 19.7847 | − | 27.3105i | 0.0430103 | − | 0.0593706i | ||||
\(461\) | −20.4029 | −0.0442578 | −0.0221289 | − | 0.999755i | \(-0.507044\pi\) | ||||
−0.0221289 | + | 0.999755i | \(0.507044\pi\) | |||||||
\(462\) | −336.682 | − | 109.138i | −0.728749 | − | 0.236229i | ||||
\(463\) | 130.609i | 0.282092i | 0.990003 | + | 0.141046i | \(0.0450466\pi\) | ||||
−0.990003 | + | 0.141046i | \(0.954953\pi\) | |||||||
\(464\) | −189.266 | − | 577.078i | −0.407901 | − | 1.24370i | ||||
\(465\) | 118.187 | 0.254165 | ||||||||
\(466\) | −21.6127 | + | 66.6734i | −0.0463791 | + | 0.143076i | ||||
\(467\) | 184.478i | 0.395028i | 0.980300 | + | 0.197514i | \(0.0632869\pi\) | ||||
−0.980300 | + | 0.197514i | \(0.936713\pi\) | |||||||
\(468\) | 1029.79 | + | 746.020i | 2.20041 | + | 1.59406i | ||||
\(469\) | −97.1286 | −0.207097 | ||||||||
\(470\) | 668.092 | + | 216.567i | 1.42147 | + | 0.460780i | ||||
\(471\) | − | 1041.61i | − | 2.21149i | ||||||
\(472\) | 367.423 | + | 503.520i | 0.778438 | + | 1.06678i | ||||
\(473\) | −380.015 | −0.803413 | ||||||||
\(474\) | −104.038 | + | 320.951i | −0.219490 | + | 0.677111i | ||||
\(475\) | − | 48.4506i | − | 0.102001i | ||||||
\(476\) | 195.233 | − | 269.496i | 0.410153 | − | 0.566168i | ||||
\(477\) | −684.481 | −1.43497 | ||||||||
\(478\) | 102.191 | + | 33.1260i | 0.213789 | + | 0.0693013i | ||||
\(479\) | 358.956i | 0.749387i | 0.927149 | + | 0.374693i | \(0.122252\pi\) | ||||
−0.927149 | + | 0.374693i | \(0.877748\pi\) | |||||||
\(480\) | 2.34279 | + | 679.259i | 0.00488082 | + | 1.41512i | ||||
\(481\) | −65.3456 | −0.135854 | ||||||||
\(482\) | −142.146 | + | 438.511i | −0.294909 | + | 0.909773i | ||||
\(483\) | − | 30.9690i | − | 0.0641180i | ||||||
\(484\) | 58.9967 | + | 42.7394i | 0.121894 | + | 0.0883044i | ||||
\(485\) | 119.611 | 0.246620 | ||||||||
\(486\) | −4.64227 | − | 1.50483i | −0.00955200 | − | 0.00309635i | ||||
\(487\) | 492.231i | 1.01074i | 0.862903 | + | 0.505370i | \(0.168644\pi\) | ||||
−0.862903 | + | 0.505370i | \(0.831356\pi\) | |||||||
\(488\) | −74.3166 | + | 54.2295i | −0.152288 | + | 0.111126i | ||||
\(489\) | −659.982 | −1.34966 | ||||||||
\(490\) | 102.430 | − | 315.990i | 0.209042 | − | 0.644877i | ||||
\(491\) | 0.713982i | 0.00145414i | 1.00000 | 0.000727069i | \(0.000231433\pi\) | |||||
−1.00000 | 0.000727069i | \(0.999769\pi\) | ||||||||
\(492\) | 804.382 | − | 1110.35i | 1.63492 | − | 2.25682i | ||||
\(493\) | 1094.57 | 2.22022 | ||||||||
\(494\) | −195.210 | − | 63.2788i | −0.395162 | − | 0.128095i | ||||
\(495\) | 868.434i | 1.75441i | ||||||||
\(496\) | −84.6479 | + | 27.7622i | −0.170661 | + | 0.0559722i | ||||
\(497\) | 236.361 | 0.475575 | ||||||||
\(498\) | −243.407 | + | 750.891i | −0.488768 | + | 1.50781i | ||||
\(499\) | − | 610.919i | − | 1.22429i | −0.790747 | − | 0.612143i | \(-0.790308\pi\) | ||
0.790747 | − | 0.612143i | \(-0.209692\pi\) | |||||||
\(500\) | −440.814 | − | 319.342i | −0.881628 | − | 0.638684i | ||||
\(501\) | 1538.81 | 3.07148 | ||||||||
\(502\) | 19.3332 | + | 6.26701i | 0.0385124 | + | 0.0124841i | ||||
\(503\) | − | 824.711i | − | 1.63958i | −0.572661 | − | 0.819792i | \(-0.694089\pi\) | ||
0.572661 | − | 0.819792i | \(-0.305911\pi\) | |||||||
\(504\) | 245.244 | + | 336.085i | 0.486596 | + | 0.666836i | ||||
\(505\) | −499.967 | −0.990034 | ||||||||
\(506\) | −15.0248 | + | 46.3503i | −0.0296933 | + | 0.0916015i | ||||
\(507\) | 738.337i | 1.45629i | ||||||||
\(508\) | −139.927 | + | 193.153i | −0.275447 | + | 0.380222i | ||||
\(509\) | 516.624 | 1.01498 | 0.507489 | − | 0.861658i | \(-0.330574\pi\) | ||||
0.507489 | + | 0.861658i | \(0.330574\pi\) | |||||||
\(510\) | −1164.57 | − | 377.504i | −2.28347 | − | 0.740204i | ||||
\(511\) | − | 16.8468i | − | 0.0329683i | ||||||
\(512\) | −161.237 | − | 485.949i | −0.314915 | − | 0.949120i | ||||
\(513\) | 272.998 | 0.532160 | ||||||||
\(514\) | 111.613 | − | 344.318i | 0.217146 | − | 0.669880i | ||||
\(515\) | − | 145.253i | − | 0.282044i | ||||||
\(516\) | 542.381 | + | 392.921i | 1.05113 | + | 0.761474i | ||||
\(517\) | −1014.72 | −1.96270 | ||||||||
\(518\) | −20.3380 | − | 6.59271i | −0.0392626 | − | 0.0127272i | ||||
\(519\) | − | 1141.49i | − | 2.19940i | ||||||
\(520\) | −465.359 | + | 339.576i | −0.894920 | + | 0.653031i | ||||
\(521\) | −279.883 | −0.537203 | −0.268601 | − | 0.963251i | \(-0.586561\pi\) | ||||
−0.268601 | + | 0.963251i | \(0.586561\pi\) | |||||||
\(522\) | −421.977 | + | 1301.77i | −0.808385 | + | 2.49380i | ||||
\(523\) | 693.496i | 1.32600i | 0.748621 | + | 0.662998i | \(0.230716\pi\) | ||||
−0.748621 | + | 0.662998i | \(0.769284\pi\) | |||||||
\(524\) | −553.978 | + | 764.701i | −1.05721 | + | 1.45935i | ||||
\(525\) | −124.904 | −0.237912 | ||||||||
\(526\) | −655.992 | − | 212.644i | −1.24713 | − | 0.404267i | ||||
\(527\) | − | 160.555i | − | 0.304659i | ||||||
\(528\) | −305.847 | − | 932.536i | −0.579255 | − | 1.76617i | ||||
\(529\) | 524.737 | 0.991941 | ||||||||
\(530\) | 95.6197 | − | 294.979i | 0.180415 | − | 0.556565i | ||||
\(531\) | − | 1404.51i | − | 2.64502i | ||||||
\(532\) | −54.3725 | − | 39.3895i | −0.102204 | − | 0.0740404i | ||||
\(533\) | 1162.83 | 2.18167 | ||||||||
\(534\) | 985.760 | + | 319.541i | 1.84599 | + | 0.598392i | ||||
\(535\) | − | 564.271i | − | 1.05471i | ||||||
\(536\) | −158.758 | − | 217.563i | −0.296189 | − | 0.405901i | ||||
\(537\) | −903.408 | −1.68232 | ||||||||
\(538\) | 147.430 | − | 454.809i | 0.274033 | − | 0.845371i | ||||
\(539\) | 479.934i | 0.890416i | ||||||||
\(540\) | 449.612 | − | 620.637i | 0.832615 | − | 1.14933i | ||||
\(541\) | −93.2664 | −0.172396 | −0.0861981 | − | 0.996278i | \(-0.527472\pi\) | ||||
−0.0861981 | + | 0.996278i | \(0.527472\pi\) | |||||||
\(542\) | −169.246 | − | 54.8624i | −0.312262 | − | 0.101222i | ||||
\(543\) | 897.150i | 1.65221i | ||||||||
\(544\) | 922.766 | − | 3.18266i | 1.69626 | − | 0.00585047i | ||||
\(545\) | −568.988 | −1.04401 | ||||||||
\(546\) | −163.130 | + | 503.243i | −0.298773 | + | 0.921691i | ||||
\(547\) | − | 171.182i | − | 0.312948i | −0.987682 | − | 0.156474i | \(-0.949987\pi\) | ||
0.987682 | − | 0.156474i | \(-0.0500127\pi\) | |||||||
\(548\) | 354.137 | + | 256.550i | 0.646235 | + | 0.468156i | ||||
\(549\) | 207.297 | 0.377590 | ||||||||
\(550\) | 186.939 | + | 60.5978i | 0.339890 | + | 0.110178i | ||||
\(551\) | − | 220.836i | − | 0.400792i | ||||||
\(552\) | 69.3688 | − | 50.6191i | 0.125668 | − | 0.0917012i | ||||
\(553\) | −93.6201 | −0.169295 | ||||||||
\(554\) | −220.358 | + | 679.788i | −0.397759 | + | 1.22705i | ||||
\(555\) | 78.6516i | 0.141715i | ||||||||
\(556\) | −172.089 | + | 237.549i | −0.309513 | + | 0.427246i | ||||
\(557\) | −335.015 | −0.601464 | −0.300732 | − | 0.953709i | \(-0.597231\pi\) | ||||
−0.300732 | + | 0.953709i | \(0.597231\pi\) | |||||||
\(558\) | 190.948 | + | 61.8971i | 0.342200 | + | 0.110927i | ||||
\(559\) | 568.013i | 1.01612i | ||||||||
\(560\) | −179.097 | + | 58.7389i | −0.319816 | + | 0.104891i | ||||
\(561\) | 1768.78 | 3.15291 | ||||||||
\(562\) | 38.9398 | − | 120.126i | 0.0692879 | − | 0.213748i | ||||
\(563\) | − | 477.442i | − | 0.848031i | −0.905655 | − | 0.424016i | \(-0.860620\pi\) | ||
0.905655 | − | 0.424016i | \(-0.139380\pi\) | |||||||
\(564\) | 1448.27 | + | 1049.18i | 2.56785 | + | 1.86025i | ||||
\(565\) | −480.860 | −0.851080 | ||||||||
\(566\) | −486.832 | − | 157.810i | −0.860128 | − | 0.278817i | ||||
\(567\) | − | 235.721i | − | 0.415733i | ||||||
\(568\) | 386.334 | + | 529.436i | 0.680166 | + | 0.932105i | ||||
\(569\) | 724.931 | 1.27404 | 0.637022 | − | 0.770846i | \(-0.280166\pi\) | ||||
0.637022 | + | 0.770846i | \(0.280166\pi\) | |||||||
\(570\) | −76.1639 | + | 234.960i | −0.133621 | + | 0.412210i | ||||
\(571\) | − | 277.193i | − | 0.485452i | −0.970095 | − | 0.242726i | \(-0.921958\pi\) | ||
0.970095 | − | 0.242726i | \(-0.0780416\pi\) | |||||||
\(572\) | 488.303 | − | 674.045i | 0.853677 | − | 1.17840i | ||||
\(573\) | −89.4019 | −0.156024 | ||||||||
\(574\) | 361.916 | + | 117.318i | 0.630515 | + | 0.204386i | ||||
\(575\) | 17.1952i | 0.0299047i | ||||||||
\(576\) | −351.958 | + | 1098.67i | −0.611039 | + | 1.90741i | ||||
\(577\) | 90.3446 | 0.156576 | 0.0782882 | − | 0.996931i | \(-0.475055\pi\) | ||||
0.0782882 | + | 0.996931i | \(0.475055\pi\) | |||||||
\(578\) | −334.602 | + | 1032.22i | −0.578897 | + | 1.78585i | ||||
\(579\) | − | 1589.13i | − | 2.74462i | ||||||
\(580\) | −502.052 | − | 363.705i | −0.865607 | − | 0.627077i | ||||
\(581\) | −219.032 | −0.376992 | ||||||||
\(582\) | 289.732 | + | 93.9188i | 0.497822 | + | 0.161373i | ||||
\(583\) | 448.023i | 0.768479i | ||||||||
\(584\) | 37.7360 | − | 27.5363i | 0.0646164 | − | 0.0471512i | ||||
\(585\) | 1298.06 | 2.21891 | ||||||||
\(586\) | −13.0598 | + | 40.2886i | −0.0222864 | + | 0.0687518i | ||||
\(587\) | − | 196.283i | − | 0.334383i | −0.985924 | − | 0.167192i | \(-0.946530\pi\) | ||
0.985924 | − | 0.167192i | \(-0.0534699\pi\) | |||||||
\(588\) | 496.234 | − | 684.993i | 0.843935 | − | 1.16495i | ||||
\(589\) | −32.3931 | −0.0549968 | ||||||||
\(590\) | 605.276 | + | 196.205i | 1.02589 | + | 0.332550i | ||||
\(591\) | 31.0620i | 0.0525585i | ||||||||
\(592\) | −18.4753 | − | 56.3319i | −0.0312083 | − | 0.0951552i | ||||
\(593\) | 928.758 | 1.56620 | 0.783101 | − | 0.621894i | \(-0.213637\pi\) | ||||
0.783101 | + | 0.621894i | \(0.213637\pi\) | |||||||
\(594\) | −341.442 | + | 1053.32i | −0.574818 | + | 1.77327i | ||||
\(595\) | − | 339.701i | − | 0.570926i | ||||||
\(596\) | −600.193 | − | 434.802i | −1.00704 | − | 0.729534i | ||||
\(597\) | −526.242 | −0.881478 | ||||||||
\(598\) | 69.2805 | + | 22.4578i | 0.115854 | + | 0.0375548i | ||||
\(599\) | − | 33.8616i | − | 0.0565301i | −0.999600 | − | 0.0282651i | \(-0.991002\pi\) | ||
0.999600 | − | 0.0282651i | \(-0.00899825\pi\) | |||||||
\(600\) | −204.156 | − | 279.777i | −0.340260 | − | 0.466295i | ||||
\(601\) | 508.869 | 0.846703 | 0.423352 | − | 0.905965i | \(-0.360854\pi\) | ||||
0.423352 | + | 0.905965i | \(0.360854\pi\) | |||||||
\(602\) | −57.3067 | + | 176.787i | −0.0951939 | + | 0.293666i | ||||
\(603\) | 606.864i | 1.00641i | ||||||||
\(604\) | 115.017 | − | 158.768i | 0.190426 | − | 0.262860i | ||||
\(605\) | 74.3656 | 0.122918 | ||||||||
\(606\) | −1211.07 | − | 392.577i | −1.99847 | − | 0.647817i | ||||
\(607\) | 823.513i | 1.35669i | 0.734742 | + | 0.678347i | \(0.237303\pi\) | ||||
−0.734742 | + | 0.678347i | \(0.762697\pi\) | |||||||
\(608\) | −0.642121 | − | 186.174i | −0.00105612 | − | 0.306207i | ||||
\(609\) | −569.306 | −0.934822 | ||||||||
\(610\) | −28.9587 | + | 89.3353i | −0.0474732 | + | 0.146451i | ||||
\(611\) | 1516.71i | 2.48234i | ||||||||
\(612\) | −1683.82 | − | 1219.82i | −2.75135 | − | 1.99318i | ||||
\(613\) | −53.2356 | −0.0868444 | −0.0434222 | − | 0.999057i | \(-0.513826\pi\) | ||||
−0.0434222 | + | 0.999057i | \(0.513826\pi\) | |||||||
\(614\) | −501.970 | − | 162.717i | −0.817541 | − | 0.265012i | ||||
\(615\) | − | 1399.61i | − | 2.27579i | ||||||
\(616\) | 219.983 | − | 160.523i | 0.357115 | − | 0.260590i | ||||
\(617\) | −202.888 | −0.328830 | −0.164415 | − | 0.986391i | \(-0.552574\pi\) | ||||
−0.164415 | + | 0.986391i | \(0.552574\pi\) | |||||||
\(618\) | 114.053 | − | 351.845i | 0.184552 | − | 0.569329i | ||||
\(619\) | 629.542i | 1.01703i | 0.861053 | + | 0.508516i | \(0.169806\pi\) | ||||
−0.861053 | + | 0.508516i | \(0.830194\pi\) | |||||||
\(620\) | −53.3495 | + | 73.6428i | −0.0860477 | + | 0.118779i | ||||
\(621\) | −96.8876 | −0.156019 | ||||||||
\(622\) | −250.843 | − | 81.3127i | −0.403285 | − | 0.130728i | ||||
\(623\) | 287.543i | 0.461545i | ||||||||
\(624\) | −1393.87 | + | 457.153i | −2.23377 | + | 0.732617i | ||||
\(625\) | −347.455 | −0.555928 | ||||||||
\(626\) | 52.0608 | − | 160.604i | 0.0831642 | − | 0.256555i | ||||
\(627\) | − | 356.864i | − | 0.569160i | ||||||
\(628\) | 649.034 | + | 470.184i | 1.03349 | + | 0.748701i | ||||
\(629\) | 106.847 | 0.169868 | ||||||||
\(630\) | 404.005 | + | 130.961i | 0.641278 | + | 0.207875i | ||||
\(631\) | 379.052i | 0.600716i | 0.953827 | + | 0.300358i | \(0.0971061\pi\) | ||||
−0.953827 | + | 0.300358i | \(0.902894\pi\) | |||||||
\(632\) | −153.023 | − | 209.704i | −0.242125 | − | 0.331810i | ||||
\(633\) | −960.215 | −1.51693 | ||||||||
\(634\) | −182.071 | + | 561.676i | −0.287179 | + | 0.885924i | ||||
\(635\) | 243.470i | 0.383417i | ||||||||
\(636\) | 463.239 | − | 639.447i | 0.728363 | − | 1.00542i | ||||
\(637\) | 717.364 | 1.12616 | ||||||||
\(638\) | 852.064 | + | 276.203i | 1.33552 | + | 0.432920i | ||||
\(639\) | − | 1476.80i | − | 2.31110i | ||||||
\(640\) | −424.307 | − | 305.158i | −0.662980 | − | 0.476809i | ||||
\(641\) | 14.7997 | 0.0230884 | 0.0115442 | − | 0.999933i | \(-0.496325\pi\) | ||||
0.0115442 | + | 0.999933i | \(0.496325\pi\) | |||||||
\(642\) | 443.069 | − | 1366.83i | 0.690139 | − | 2.12902i | ||||
\(643\) | − | 82.0614i | − | 0.127623i | −0.997962 | − | 0.0638114i | \(-0.979674\pi\) | ||
0.997962 | − | 0.0638114i | \(-0.0203256\pi\) | |||||||
\(644\) | 19.2969 | + | 13.9794i | 0.0299642 | + | 0.0217071i | ||||
\(645\) | 683.674 | 1.05996 | ||||||||
\(646\) | 319.190 | + | 103.468i | 0.494102 | + | 0.160167i | ||||
\(647\) | − | 303.090i | − | 0.468454i | −0.972182 | − | 0.234227i | \(-0.924744\pi\) | ||
0.972182 | − | 0.234227i | \(-0.0752559\pi\) | |||||||
\(648\) | 528.001 | − | 385.287i | 0.814817 | − | 0.594579i | ||||
\(649\) | −919.311 | −1.41650 | ||||||||
\(650\) | 90.5763 | − | 279.421i | 0.139348 | − | 0.429878i | ||||
\(651\) | 83.5079i | 0.128276i | ||||||||
\(652\) | 297.916 | − | 411.238i | 0.456926 | − | 0.630733i | ||||
\(653\) | 390.131 | 0.597445 | 0.298722 | − | 0.954340i | \(-0.403440\pi\) | ||||
0.298722 | + | 0.954340i | \(0.403440\pi\) | |||||||
\(654\) | −1378.26 | − | 446.772i | −2.10743 | − | 0.683138i | ||||
\(655\) | 963.910i | 1.47162i | ||||||||
\(656\) | 328.769 | + | 1002.43i | 0.501173 | + | 1.52809i | ||||
\(657\) | −105.260 | −0.160213 | ||||||||
\(658\) | −153.021 | + | 472.057i | −0.232554 | + | 0.717413i | ||||
\(659\) | 1020.49i | 1.54854i | 0.632858 | + | 0.774268i | \(0.281882\pi\) | ||||
−0.632858 | + | 0.774268i | \(0.718118\pi\) | |||||||
\(660\) | −811.297 | − | 587.734i | −1.22924 | − | 0.890506i | ||||
\(661\) | −334.534 | −0.506103 | −0.253052 | − | 0.967453i | \(-0.581434\pi\) | ||||
−0.253052 | + | 0.967453i | \(0.581434\pi\) | |||||||
\(662\) | −935.518 | − | 303.255i | −1.41317 | − | 0.458089i | ||||
\(663\) | − | 2643.83i | − | 3.98767i | ||||||
\(664\) | −358.010 | − | 490.620i | −0.539172 | − | 0.738886i | ||||
\(665\) | −68.5369 | −0.103063 | ||||||||
\(666\) | −41.1916 | + | 127.073i | −0.0618492 | + | 0.190800i | ||||
\(667\) | 78.3753i | 0.117504i | ||||||||
\(668\) | −694.619 | + | 958.840i | −1.03985 | + | 1.43539i | ||||
\(669\) | 193.738 | 0.289594 | ||||||||
\(670\) | −261.530 | − | 84.7769i | −0.390344 | − | 0.126533i | ||||
\(671\) | − | 135.685i | − | 0.202213i | ||||||
\(672\) | −479.948 | + | 1.65536i | −0.714209 | + | 0.00246333i | ||||
\(673\) | −704.403 | −1.04666 | −0.523331 | − | 0.852130i | \(-0.675311\pi\) | ||||
−0.523331 | + | 0.852130i | \(0.675311\pi\) | |||||||
\(674\) | −24.3087 | + | 74.9903i | −0.0360663 | + | 0.111262i | ||||
\(675\) | 390.765i | 0.578912i | ||||||||
\(676\) | −460.062 | − | 333.286i | −0.680565 | − | 0.493026i | ||||
\(677\) | −169.913 | −0.250980 | −0.125490 | − | 0.992095i | \(-0.540050\pi\) | ||||
−0.125490 | + | 0.992095i | \(0.540050\pi\) | |||||||
\(678\) | −1164.79 | − | 377.574i | −1.71797 | − | 0.556894i | ||||
\(679\) | 84.5139i | 0.124468i | ||||||||
\(680\) | 760.912 | − | 555.245i | 1.11899 | − | 0.816536i | ||||
\(681\) | 2355.98 | 3.45958 | ||||||||
\(682\) | 40.5144 | − | 124.984i | 0.0594053 | − | 0.183261i | ||||
\(683\) | 449.266i | 0.657783i | 0.944368 | + | 0.328892i | \(0.106675\pi\) | ||||
−0.944368 | + | 0.328892i | \(0.893325\pi\) | |||||||
\(684\) | −246.107 | + | 339.722i | −0.359806 | + | 0.496670i | ||||
\(685\) | 446.391 | 0.651666 | ||||||||
\(686\) | 492.229 | + | 159.560i | 0.717535 | + | 0.232594i | ||||
\(687\) | 1015.45i | 1.47809i | ||||||||
\(688\) | −489.661 | + | 160.596i | −0.711717 | + | 0.233424i | ||||
\(689\) | 669.666 | 0.971940 | ||||||||
\(690\) | 27.0307 | − | 83.3877i | 0.0391749 | − | 0.120852i | ||||
\(691\) | − | 474.334i | − | 0.686446i | −0.939254 | − | 0.343223i | \(-0.888481\pi\) | ||
0.939254 | − | 0.343223i | \(-0.111519\pi\) | |||||||
\(692\) | 711.266 | + | 515.267i | 1.02784 | + | 0.744606i | ||||
\(693\) | −613.614 | −0.885446 | ||||||||
\(694\) | −566.752 | − | 183.717i | −0.816646 | − | 0.264722i | ||||
\(695\) | 299.431i | 0.430837i | ||||||||
\(696\) | −930.536 | − | 1275.22i | −1.33698 | − | 1.83221i | ||||
\(697\) | −1901.35 | −2.72791 | ||||||||
\(698\) | −14.3474 | + | 44.2606i | −0.0205550 | + | 0.0634105i | ||||
\(699\) | 182.184i | 0.260635i | ||||||||
\(700\) | 56.3815 | − | 77.8280i | 0.0805450 | − | 0.111183i | ||||
\(701\) | −79.3584 | −0.113207 | −0.0566037 | − | 0.998397i | \(-0.518027\pi\) | ||||
−0.0566037 | + | 0.998397i | \(0.518027\pi\) | |||||||
\(702\) | 1574.42 | + | 510.358i | 2.24276 | + | 0.727006i | ||||
\(703\) | − | 21.5571i | − | 0.0306645i | ||||||
\(704\) | 719.127 | + | 230.372i | 1.02149 | + | 0.327234i | ||||
\(705\) | 1825.55 | 2.58943 | ||||||||
\(706\) | 222.836 | − | 687.432i | 0.315632 | − | 0.973699i | ||||
\(707\) | − | 353.265i | − | 0.499667i | ||||||
\(708\) | 1312.10 | + | 950.533i | 1.85325 | + | 1.34256i | ||||
\(709\) | −760.991 | −1.07333 | −0.536665 | − | 0.843795i | \(-0.680316\pi\) | ||||
−0.536665 | + | 0.843795i | \(0.680316\pi\) | |||||||
\(710\) | 636.430 | + | 206.303i | 0.896380 | + | 0.290568i | ||||
\(711\) | 584.943i | 0.822705i | ||||||||
\(712\) | −644.080 | + | 469.991i | −0.904607 | + | 0.660100i | ||||
\(713\) | 11.4964 | 0.0161239 | ||||||||
\(714\) | 266.735 | − | 822.858i | 0.373579 | − | 1.15246i | ||||
\(715\) | − | 849.638i | − | 1.18830i | ||||||
\(716\) | 407.798 | − | 562.918i | 0.569551 | − | 0.786198i | ||||
\(717\) | 279.236 | 0.389450 | ||||||||
\(718\) | 108.872 | + | 35.2917i | 0.151633 | + | 0.0491528i | ||||
\(719\) | − | 781.019i | − | 1.08626i | −0.839649 | − | 0.543129i | \(-0.817240\pi\) | ||
0.839649 | − | 0.543129i | \(-0.182760\pi\) | |||||||
\(720\) | 367.004 | + | 1119.01i | 0.509727 | + | 1.55418i | ||||
\(721\) | 102.632 | 0.142347 | ||||||||
\(722\) | −201.761 | + | 622.418i | −0.279448 | + | 0.862075i | ||||
\(723\) | 1198.22i | 1.65729i | ||||||||
\(724\) | −559.018 | − | 404.973i | −0.772125 | − | 0.559356i | ||||
\(725\) | 316.102 | 0.436002 | ||||||||
\(726\) | 180.136 | + | 58.3923i | 0.248121 | + | 0.0804302i | ||||
\(727\) | 1084.41i | 1.49162i | 0.666160 | + | 0.745809i | \(0.267937\pi\) | ||||
−0.666160 | + | 0.745809i | \(0.732063\pi\) | |||||||
\(728\) | −239.936 | − | 328.811i | −0.329583 | − | 0.451664i | ||||
\(729\) | 722.648 | 0.991287 | ||||||||
\(730\) | 14.7044 | − | 45.3621i | 0.0201431 | − | 0.0621398i | ||||
\(731\) | − | 928.763i | − | 1.27054i | ||||||
\(732\) | −140.293 | + | 193.658i | −0.191657 | + | 0.264560i | ||||
\(733\) | −750.278 | −1.02357 | −0.511786 | − | 0.859113i | \(-0.671016\pi\) | ||||
−0.511786 | + | 0.859113i | \(0.671016\pi\) | |||||||
\(734\) | 1096.65 | + | 355.489i | 1.49408 | + | 0.484317i | ||||
\(735\) | − | 863.437i | − | 1.17474i | ||||||
\(736\) | 0.227890 | + | 66.0735i | 0.000309633 | + | 0.0897738i | ||||
\(737\) | 397.220 | 0.538968 | ||||||||
\(738\) | 733.006 | − | 2261.27i | 0.993234 | − | 3.06405i | ||||
\(739\) | 243.988i | 0.330159i | 0.986280 | + | 0.165080i | \(0.0527882\pi\) | ||||
−0.986280 | + | 0.165080i | \(0.947212\pi\) | |||||||
\(740\) | −49.0082 | − | 35.5033i | −0.0662273 | − | 0.0479775i | ||||
\(741\) | −533.409 | −0.719850 | ||||||||
\(742\) | 208.425 | + | 67.5626i | 0.280897 | + | 0.0910547i | ||||
\(743\) | − | 1018.17i | − | 1.37035i | −0.728380 | − | 0.685174i | \(-0.759726\pi\) | ||
0.728380 | − | 0.685174i | \(-0.240274\pi\) | |||||||
\(744\) | −187.053 | + | 136.494i | −0.251416 | + | 0.183460i | ||||
\(745\) | −756.547 | −1.01550 | ||||||||
\(746\) | −97.0480 | + | 299.386i | −0.130091 | + | 0.401321i | ||||
\(747\) | 1368.52i | 1.83203i | ||||||||
\(748\) | −798.429 | + | 1102.14i | −1.06742 | + | 1.47345i | ||||
\(749\) | 398.700 | 0.532310 | ||||||||
\(750\) | −1345.95 | − | 436.298i | −1.79460 | − | 0.581731i | ||||
\(751\) | − | 393.615i | − | 0.524121i | −0.965051 | − | 0.262061i | \(-0.915598\pi\) | ||
0.965051 | − | 0.262061i | \(-0.0844020\pi\) | |||||||
\(752\) | −1307.50 | + | 428.824i | −1.73869 | + | 0.570244i | ||||
\(753\) | 52.8277 | 0.0701564 | ||||||||
\(754\) | 412.844 | − | 1273.59i | 0.547538 | − | 1.68911i | ||||
\(755\) | − | 200.127i | − | 0.265069i | ||||||
\(756\) | 438.527 | + | 317.685i | 0.580062 | + | 0.420218i | ||||
\(757\) | 592.234 | 0.782343 | 0.391172 | − | 0.920318i | \(-0.372070\pi\) | ||||
0.391172 | + | 0.920318i | \(0.372070\pi\) | |||||||
\(758\) | 215.330 | + | 69.8009i | 0.284077 | + | 0.0920856i | ||||
\(759\) | 126.652i | 0.166866i | ||||||||
\(760\) | −112.024 | − | 153.519i | −0.147400 | − | 0.201999i | ||||
\(761\) | 383.233 | 0.503591 | 0.251795 | − | 0.967780i | \(-0.418979\pi\) | ||||
0.251795 | + | 0.967780i | \(0.418979\pi\) | |||||||
\(762\) | −191.174 | + | 589.757i | −0.250884 | + | 0.773959i | ||||
\(763\) | − | 402.033i | − | 0.526911i | ||||||
\(764\) | 40.3560 | − | 55.7067i | 0.0528220 | − | 0.0729146i | ||||
\(765\) | −2122.47 | −2.77447 | ||||||||
\(766\) | 1118.66 | + | 362.621i | 1.46039 | + | 0.473395i | ||||
\(767\) | 1374.11i | 1.79153i | ||||||||
\(768\) | −788.187 | − | 1072.35i | −1.02629 | − | 1.39629i | ||||
\(769\) | −455.716 | −0.592609 | −0.296305 | − | 0.955094i | \(-0.595754\pi\) | ||||
−0.296305 | + | 0.955094i | \(0.595754\pi\) | |||||||
\(770\) | 85.7199 | − | 264.439i | 0.111325 | − | 0.343428i | ||||
\(771\) | − | 940.844i | − | 1.22029i | ||||||
\(772\) | 990.197 | + | 717.335i | 1.28264 | + | 0.929191i | ||||
\(773\) | −1291.96 | −1.67136 | −0.835678 | − | 0.549219i | \(-0.814925\pi\) | ||||
−0.835678 | + | 0.549219i | \(0.814925\pi\) | |||||||
\(774\) | 1104.57 | + | 358.055i | 1.42710 | + | 0.462604i | ||||
\(775\) | − | 46.3670i | − | 0.0598283i | ||||||
\(776\) | −189.306 | + | 138.139i | −0.243952 | + | 0.178014i | ||||
\(777\) | −55.5733 | −0.0715229 | ||||||||
\(778\) | −89.2424 | + | 275.306i | −0.114707 | + | 0.353864i | ||||
\(779\) | 383.610i | 0.492439i | ||||||||
\(780\) | −878.493 | + | 1212.66i | −1.12627 | + | 1.55469i | ||||
\(781\) | −966.628 | −1.23768 | ||||||||
\(782\) | −113.281 | − | 36.7209i | −0.144861 | − | 0.0469577i | ||||
\(783\) | 1781.10i | 2.27471i | ||||||||
\(784\) | 202.822 | + | 618.412i | 0.258702 | + | 0.788790i | ||||
\(785\) | 818.111 | 1.04218 | ||||||||
\(786\) | −756.868 | + | 2334.88i | −0.962936 | + | 2.97058i | ||||
\(787\) | − | 1039.82i | − | 1.32125i | −0.750718 | − | 0.660623i | \(-0.770292\pi\) | ||
0.750718 | − | 0.660623i | \(-0.229708\pi\) | |||||||
\(788\) | −19.3549 | − | 14.0214i | −0.0245621 | − | 0.0177937i | ||||
\(789\) | −1792.49 | −2.27185 | ||||||||
\(790\) | −252.083 | − | 81.7146i | −0.319093 | − | 0.103436i | ||||
\(791\) | − | 339.764i | − | 0.429537i | ||||||
\(792\) | −1002.96 | − | 1374.46i | −1.26636 | − | 1.73543i | ||||
\(793\) | −202.810 | −0.255751 | ||||||||
\(794\) | −366.806 | + | 1131.57i | −0.461973 | + | 1.42515i | ||||
\(795\) | − | 806.027i | − | 1.01387i | ||||||
\(796\) | 237.546 | − | 327.904i | 0.298424 | − | 0.411940i | ||||
\(797\) | 1167.05 | 1.46430 | 0.732151 | − | 0.681143i | \(-0.238517\pi\) | ||||
0.732151 | + | 0.681143i | \(0.238517\pi\) | |||||||
\(798\) | −166.017 | − | 53.8156i | −0.208041 | − | 0.0674380i | ||||
\(799\) | − | 2479.99i | − | 3.10387i | ||||||
\(800\) | 266.487 | − | 0.919122i | 0.333108 | − | 0.00114890i | ||||
\(801\) | 1796.58 | 2.24292 | ||||||||
\(802\) | −158.796 | + | 489.874i | −0.198000 | + | 0.610815i | ||||
\(803\) | 68.8972i | 0.0857998i | ||||||||
\(804\) | −566.937 | − | 410.710i | −0.705146 | − | 0.510833i | ||||
\(805\) | 24.3239 | 0.0302160 | ||||||||
\(806\) | −186.815 | − | 60.5574i | −0.231780 | − | 0.0751333i | ||||
\(807\) | − | 1242.76i | − | 1.53997i | ||||||
\(808\) | 791.294 | − | 577.414i | 0.979324 | − | 0.714622i | ||||
\(809\) | −85.9912 | −0.106293 | −0.0531466 | − | 0.998587i | \(-0.516925\pi\) | ||||
−0.0531466 | + | 0.998587i | \(0.516925\pi\) | |||||||
\(810\) | 205.744 | − | 634.706i | 0.254005 | − | 0.783587i | ||||
\(811\) | 183.989i | 0.226867i | 0.993546 | + | 0.113434i | \(0.0361850\pi\) | ||||
−0.993546 | + | 0.113434i | \(0.963815\pi\) | |||||||
\(812\) | 256.985 | − | 354.738i | 0.316484 | − | 0.436869i | ||||
\(813\) | −462.463 | −0.568835 | ||||||||
\(814\) | 83.1749 | + | 26.9617i | 0.102180 | + | 0.0331225i | ||||
\(815\) | − | 518.368i | − | 0.636034i | ||||||
\(816\) | 2279.14 | − | 747.495i | 2.79306 | − | 0.916048i | ||||
\(817\) | −187.384 | −0.229356 | ||||||||
\(818\) | 211.948 | − | 653.844i | 0.259106 | − | 0.799320i | ||||
\(819\) | 917.178i | 1.11987i | ||||||||
\(820\) | 872.103 | + | 631.783i | 1.06354 | + | 0.770467i | ||||
\(821\) | 31.6546 | 0.0385561 | 0.0192780 | − | 0.999814i | \(-0.493863\pi\) | ||||
0.0192780 | + | 0.999814i | \(0.493863\pi\) | |||||||
\(822\) | 1081.29 | + | 350.509i | 1.31544 | + | 0.426410i | ||||
\(823\) | − | 314.100i | − | 0.381652i | −0.981624 | − | 0.190826i | \(-0.938883\pi\) | ||
0.981624 | − | 0.190826i | \(-0.0611167\pi\) | |||||||
\(824\) | 167.753 | + | 229.890i | 0.203583 | + | 0.278993i | ||||
\(825\) | 510.809 | 0.619162 | ||||||||
\(826\) | −138.633 | + | 427.674i | −0.167837 | + | 0.517765i | ||||
\(827\) | 1040.30i | 1.25792i | 0.777436 | + | 0.628962i | \(0.216520\pi\) | ||||
−0.777436 | + | 0.628962i | \(0.783480\pi\) | |||||||
\(828\) | 87.3440 | − | 120.568i | 0.105488 | − | 0.145614i | ||||
\(829\) | 459.251 | 0.553982 | 0.276991 | − | 0.960872i | \(-0.410663\pi\) | ||||
0.276991 | + | 0.960872i | \(0.410663\pi\) | |||||||
\(830\) | −589.770 | − | 191.178i | −0.710566 | − | 0.230335i | ||||
\(831\) | 1857.51i | 2.23527i | ||||||||
\(832\) | 344.341 | − | 1074.89i | 0.413871 | − | 1.29193i | ||||
\(833\) | −1172.97 | −1.40813 | ||||||||
\(834\) | −235.115 | + | 725.312i | −0.281913 | + | 0.869679i | ||||
\(835\) | 1208.62i | 1.44745i | ||||||||
\(836\) | 222.363 | + | 161.088i | 0.265985 | + | 0.192689i | ||||
\(837\) | 261.258 | 0.312136 | ||||||||
\(838\) | −144.689 | − | 46.9021i | −0.172660 | − | 0.0559691i | ||||
\(839\) | − | 768.510i | − | 0.915983i | −0.888957 | − | 0.457991i | \(-0.848569\pi\) | ||
0.888957 | − | 0.457991i | \(-0.151431\pi\) | |||||||
\(840\) | −395.765 | + | 288.793i | −0.471149 | + | 0.343801i | ||||
\(841\) | 599.782 | 0.713177 | ||||||||
\(842\) | −25.3436 | + | 78.1830i | −0.0300993 | + | 0.0928539i | ||||
\(843\) | − | 328.243i | − | 0.389375i | ||||||
\(844\) | 433.441 | − | 598.315i | 0.513556 | − | 0.708903i | ||||
\(845\) | −579.910 | −0.686284 | ||||||||
\(846\) | 2949.44 | + | 956.082i | 3.48633 | + | 1.13012i | ||||
\(847\) | 52.5449i | 0.0620365i | ||||||||
\(848\) | 189.336 | + | 577.293i | 0.223274 | + | 0.680770i | ||||
\(849\) | −1330.26 | −1.56686 | ||||||||
\(850\) | −148.102 | + | 456.884i | −0.174238 | + | 0.537510i | ||||
\(851\) | 7.65066i | 0.00899020i | ||||||||
\(852\) | 1379.63 | + | 999.457i | 1.61929 | + | 1.17307i | ||||
\(853\) | −1625.50 | −1.90563 | −0.952816 | − | 0.303548i | \(-0.901829\pi\) | ||||
−0.952816 | + | 0.303548i | \(0.901829\pi\) | |||||||
\(854\) | −63.1221 | − | 20.4615i | −0.0739135 | − | 0.0239596i | ||||
\(855\) | 428.222i | 0.500844i | ||||||||
\(856\) | 651.679 | + | 893.067i | 0.761308 | + | 1.04330i | ||||
\(857\) | −1295.14 | −1.51124 | −0.755621 | − | 0.655009i | \(-0.772665\pi\) | ||||
−0.755621 | + | 0.655009i | \(0.772665\pi\) | |||||||
\(858\) | 667.141 | − | 2058.08i | 0.777553 | − | 2.39869i | ||||
\(859\) | 786.114i | 0.915150i | 0.889171 | + | 0.457575i | \(0.151282\pi\) | ||||
−0.889171 | + | 0.457575i | \(0.848718\pi\) | |||||||
\(860\) | −308.610 | + | 426.000i | −0.358849 | + | 0.495349i | ||||
\(861\) | 988.929 | 1.14858 | ||||||||
\(862\) | 648.308 | + | 210.154i | 0.752098 | + | 0.243798i | ||||
\(863\) | − | 505.283i | − | 0.585496i | −0.956190 | − | 0.292748i | \(-0.905430\pi\) | ||
0.956190 | − | 0.292748i | \(-0.0945697\pi\) | |||||||
\(864\) | 5.17886 | + | 1501.54i | 0.00599405 | + | 1.73789i | ||||
\(865\) | 896.555 | 1.03648 | ||||||||
\(866\) | 438.381 | − | 1352.37i | 0.506214 | − | 1.56163i | ||||
\(867\) | 2820.53i | 3.25321i | ||||||||
\(868\) | −52.0342 | − | 37.6955i | −0.0599472 | − | 0.0434280i | ||||
\(869\) | 382.871 | 0.440588 | ||||||||
\(870\) | −1532.93 | − | 496.909i | −1.76198 | − | 0.571160i | ||||
\(871\) | − | 593.730i | − | 0.681664i | ||||||
\(872\) | 900.532 | − | 657.126i | 1.03272 | − | 0.753585i | ||||
\(873\) | 528.047 | 0.604865 | ||||||||
\(874\) | −7.40868 | + | 22.8552i | −0.00847675 | + | 0.0261501i | ||||
\(875\) | − | 392.608i | − | 0.448695i | ||||||
\(876\) | 71.2371 | − | 98.3344i | 0.0813209 | − | 0.112254i | ||||
\(877\) | 993.610 | 1.13296 | 0.566482 | − | 0.824074i | \(-0.308304\pi\) | ||||
0.566482 | + | 0.824074i | \(0.308304\pi\) | |||||||
\(878\) | 51.1436 | + | 16.5786i | 0.0582501 | + | 0.0188822i | ||||
\(879\) | 110.088i | 0.125242i | ||||||||
\(880\) | 732.439 | − | 240.220i | 0.832317 | − | 0.272978i | ||||
\(881\) | 423.197 | 0.480360 | 0.240180 | − | 0.970728i | \(-0.422794\pi\) | ||||
0.240180 | + | 0.970728i | \(0.422794\pi\) | |||||||
\(882\) | 452.201 | − | 1395.01i | 0.512700 | − | 1.58164i | ||||
\(883\) | − | 1312.11i | − | 1.48597i | −0.669307 | − | 0.742986i | \(-0.733409\pi\) | ||
0.669307 | − | 0.742986i | \(-0.266591\pi\) | |||||||
\(884\) | 1647.38 | + | 1193.42i | 1.86355 | + | 1.35003i | ||||
\(885\) | 1653.91 | 1.86882 | ||||||||
\(886\) | −713.448 | − | 231.269i | −0.805246 | − | 0.261026i | ||||
\(887\) | 706.259i | 0.796233i | 0.917335 | + | 0.398117i | \(0.130336\pi\) | ||||
−0.917335 | + | 0.398117i | \(0.869664\pi\) | |||||||
\(888\) | −90.8350 | − | 124.481i | −0.102292 | − | 0.140181i | ||||
\(889\) | −172.030 | −0.193509 | ||||||||
\(890\) | −250.976 | + | 774.243i | −0.281996 | + | 0.869936i | ||||
\(891\) | 964.009i | 1.08194i | ||||||||
\(892\) | −87.4535 | + | 120.719i | −0.0980421 | + | 0.135336i | ||||
\(893\) | −500.354 | −0.560307 | ||||||||
\(894\) | −1832.58 | − | 594.045i | −2.04987 | − | 0.664480i | ||||
\(895\) | − | 709.561i | − | 0.792806i | ||||||
\(896\) | 215.617 | − | 299.805i | 0.240644 | − | 0.334604i | ||||
\(897\) | 189.308 | 0.211046 | ||||||||
\(898\) | 282.634 | − | 871.904i | 0.314737 | − | 0.970940i | ||||
\(899\) | − | 211.339i | − | 0.235082i | ||||||
\(900\) | −486.273 | − | 352.274i | −0.540304 | − | 0.391416i | ||||
\(901\) | −1094.98 | −1.21529 | ||||||||
\(902\) | −1480.10 | − | 479.785i | −1.64091 | − | 0.531913i | ||||
\(903\) | 483.067i | 0.534958i | ||||||||
\(904\) | 761.053 | − | 555.347i | 0.841873 | − | 0.614322i | ||||
\(905\) | −704.646 | −0.778614 | ||||||||
\(906\) | 157.141 | − | 484.768i | 0.173445 | − | 0.535064i | ||||
\(907\) | − | 1149.96i | − | 1.26788i | −0.773383 | − | 0.633939i | \(-0.781437\pi\) | ||
0.773383 | − | 0.633939i | \(-0.218563\pi\) | |||||||
\(908\) | −1063.49 | + | 1468.02i | −1.17124 | + | 1.61676i | ||||
\(909\) | −2207.22 | −2.42818 | ||||||||
\(910\) | −395.261 | − | 128.127i | −0.434353 | − | 0.140799i | ||||
\(911\) | − | 270.666i | − | 0.297108i | −0.988904 | − | 0.148554i | \(-0.952538\pi\) | ||
0.988904 | − | 0.148554i | \(-0.0474619\pi\) | |||||||
\(912\) | −150.812 | − | 459.831i | −0.165364 | − | 0.504200i | ||||
\(913\) | 895.760 | 0.981117 | ||||||||
\(914\) | 270.544 | − | 834.607i | 0.296000 | − | 0.913137i | ||||
\(915\) | 244.107i | 0.266784i | ||||||||
\(916\) | −632.732 | − | 458.375i | −0.690756 | − | 0.500409i | ||||
\(917\) | −681.076 | −0.742721 | ||||||||
\(918\) | −2574.34 | − | 834.491i | −2.80429 | − | 0.909032i | ||||
\(919\) | 1632.33i | 1.77620i | 0.459653 | + | 0.888099i | \(0.347974\pi\) | ||||
−0.459653 | + | 0.888099i | \(0.652026\pi\) | |||||||
\(920\) | 39.7576 | + | 54.4842i | 0.0432148 | + | 0.0592219i | ||||
\(921\) | −1371.63 | −1.48928 | ||||||||
\(922\) | 12.5829 | − | 38.8172i | 0.0136474 | − | 0.0421011i | ||||
\(923\) | 1444.83i | 1.56537i | ||||||||
\(924\) | 415.278 | − | 573.243i | 0.449435 | − | 0.620393i | ||||
\(925\) | 30.8565 | 0.0333584 | ||||||||
\(926\) | −248.488 | − | 80.5492i | −0.268346 | − | 0.0869862i | ||||
\(927\) | − | 641.249i | − | 0.691747i | ||||||
\(928\) | 1214.64 | − | 4.18933i | 1.30888 | − | 0.00451436i | ||||
\(929\) | 1276.19 | 1.37372 | 0.686860 | − | 0.726790i | \(-0.258989\pi\) | ||||
0.686860 | + | 0.726790i | \(0.258989\pi\) | |||||||
\(930\) | −72.8884 | + | 224.855i | −0.0783746 | + | 0.241780i | ||||
\(931\) | 236.654i | 0.254193i | ||||||||
\(932\) | −113.520 | − | 82.2378i | −0.121802 | − | 0.0882380i | ||||
\(933\) | −685.425 | −0.734647 | ||||||||
\(934\) | −350.977 | − | 113.772i | −0.375778 | − | 0.121811i | ||||
\(935\) | 1389.25i | 1.48583i | ||||||||
\(936\) | −2054.43 | + | 1499.13i | −2.19490 | + | 1.60164i | ||||
\(937\) | 1223.53 | 1.30579 | 0.652896 | − | 0.757448i | \(-0.273554\pi\) | ||||
0.652896 | + | 0.757448i | \(0.273554\pi\) | |||||||
\(938\) | 59.9013 | − | 184.791i | 0.0638607 | − | 0.197005i | ||||
\(939\) | − | 438.847i | − | 0.467355i | ||||||
\(940\) | −824.054 | + | 1137.51i | −0.876653 | + | 1.21012i | ||||
\(941\) | 1410.31 | 1.49874 | 0.749370 | − | 0.662152i | \(-0.230357\pi\) | ||||
0.749370 | + | 0.662152i | \(0.230357\pi\) | |||||||
\(942\) | 1981.71 | + | 642.385i | 2.10373 | + | 0.681938i | ||||
\(943\) | − | 136.144i | − | 0.144373i | ||||||
\(944\) | −1184.56 | + | 388.505i | −1.25483 | + | 0.411552i | ||||
\(945\) | 552.766 | 0.584937 | ||||||||
\(946\) | 234.363 | − | 722.992i | 0.247741 | − | 0.764263i | ||||
\(947\) | 624.284i | 0.659223i | 0.944117 | + | 0.329611i | \(0.106918\pi\) | ||||
−0.944117 | + | 0.329611i | \(0.893082\pi\) | |||||||
\(948\) | −546.458 | − | 395.874i | −0.576433 | − | 0.417589i | ||||
\(949\) | 102.982 | 0.108516 | ||||||||
\(950\) | 92.1792 | + | 29.8806i | 0.0970307 | + | 0.0314532i | ||||
\(951\) | 1534.77i | 1.61385i | ||||||||
\(952\) | 392.322 | + | 537.642i | 0.412103 | + | 0.564750i | ||||
\(953\) | −671.569 | −0.704689 | −0.352345 | − | 0.935870i | \(-0.614615\pi\) | ||||
−0.352345 | + | 0.935870i | \(0.614615\pi\) | |||||||
\(954\) | 422.134 | − | 1302.25i | 0.442489 | − | 1.36504i | ||||
\(955\) | − | 70.2186i | − | 0.0735274i | ||||||
\(956\) | −126.047 | + | 173.993i | −0.131848 | + | 0.182001i | ||||
\(957\) | 2328.25 | 2.43286 | ||||||||
\(958\) | −682.928 | − | 221.376i | −0.712869 | − | 0.231082i | ||||
\(959\) | 315.409i | 0.328894i | ||||||||
\(960\) | −1293.76 | − | 414.457i | −1.34767 | − | 0.431726i | ||||
\(961\) | −31.0000 | −0.0322581 | ||||||||
\(962\) | 40.3001 | − | 124.323i | 0.0418920 | − | 0.129233i | ||||
\(963\) | − | 2491.10i | − | 2.58681i | ||||||
\(964\) | −746.619 | − | 540.878i | −0.774501 | − | 0.561077i | ||||
\(965\) | 1248.15 | 1.29342 | ||||||||
\(966\) | 58.9197 | + | 19.0992i | 0.0609935 | + | 0.0197715i | ||||
\(967\) | 1217.44i | 1.25898i | 0.777007 | + | 0.629492i | \(0.216737\pi\) | ||||
−0.777007 | + | 0.629492i | \(0.783263\pi\) | |||||||
\(968\) | −117.698 | + | 85.8852i | −0.121589 | + | 0.0887243i | ||||
\(969\) | 872.182 | 0.900084 | ||||||||
\(970\) | −73.7664 | + | 227.564i | −0.0760478 | + | 0.234602i | ||||
\(971\) | 228.321i | 0.235140i | 0.993065 | + | 0.117570i | \(0.0375105\pi\) | ||||
−0.993065 | + | 0.117570i | \(0.962490\pi\) | |||||||
\(972\) | 5.72598 | − | 7.90404i | 0.00589092 | − | 0.00813173i | ||||
\(973\) | −211.571 | −0.217442 | ||||||||
\(974\) | −936.488 | − | 303.569i | −0.961486 | − | 0.311673i | ||||
\(975\) | − | 763.513i | − | 0.783090i | ||||||
\(976\) | −57.3410 | − | 174.835i | −0.0587511 | − | 0.179134i | ||||
\(977\) | −1636.44 | −1.67496 | −0.837482 | − | 0.546465i | \(-0.815973\pi\) | ||||
−0.837482 | + | 0.546465i | \(0.815973\pi\) | |||||||
\(978\) | 407.025 | − | 1255.64i | 0.416181 | − | 1.28389i | ||||
\(979\) | − | 1175.94i | − | 1.20117i | ||||||
\(980\) | 538.012 | + | 389.756i | 0.548992 | + | 0.397710i | ||||
\(981\) | −2511.92 | −2.56057 | ||||||||
\(982\) | −1.35838 | − | 0.440328i | −0.00138328 | − | 0.000448400i | ||||
\(983\) | − | 1517.88i | − | 1.54413i | −0.635546 | − | 0.772063i | \(-0.719225\pi\) | ||
0.635546 | − | 0.772063i | \(-0.280775\pi\) | |||||||
\(984\) | 1616.41 | + | 2215.15i | 1.64270 | + | 2.25117i | ||||
\(985\) | −24.3970 | −0.0247685 | ||||||||
\(986\) | −675.045 | + | 2082.46i | −0.684630 | + | 2.11203i | ||||
\(987\) | 1289.89i | 1.30688i | ||||||||
\(988\) | 240.781 | − | 332.370i | 0.243705 | − | 0.336406i | ||||
\(989\) | 66.5029 | 0.0672426 | ||||||||
\(990\) | −1652.23 | − | 535.582i | −1.66892 | − | 0.540992i | ||||
\(991\) | 396.395i | 0.399995i | 0.979796 | + | 0.199997i | \(0.0640934\pi\) | ||||
−0.979796 | + | 0.199997i | \(0.935907\pi\) | |||||||
\(992\) | −0.614506 | − | 178.167i | −0.000619462 | − | 0.179604i | ||||
\(993\) | −2556.29 | −2.57431 | ||||||||
\(994\) | −145.769 | + | 449.686i | −0.146649 | + | 0.452400i | ||||
\(995\) | − | 413.325i | − | 0.415402i | ||||||
\(996\) | −1278.48 | − | 926.181i | −1.28362 | − | 0.929901i | ||||
\(997\) | 1258.49 | 1.26227 | 0.631136 | − | 0.775672i | \(-0.282589\pi\) | ||||
0.631136 | + | 0.775672i | \(0.282589\pi\) | |||||||
\(998\) | 1162.30 | + | 376.767i | 1.16463 | + | 0.377522i | ||||
\(999\) | 173.863i | 0.174037i |
(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 | 124.3.b.a.63.14 | yes | 30 | |
4.3 | odd | 2 | inner | 124.3.b.a.63.13 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
124.3.b.a.63.13 | ✓ | 30 | 4.3 | odd | 2 | inner | |
124.3.b.a.63.14 | yes | 30 | 1.1 | even | 1 | trivial |