Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,3,Mod(5,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.x (of order \(18\), degree \(6\), 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: | \(5.88557371018\) |
Analytic rank: | \(0\) |
Dimension: | \(420\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 5.16 | ||
Character | \(\chi\) | \(=\) | 216.5 |
Dual form | 216.3.x.a.173.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.59804 | − | 1.20262i | −0.799018 | − | 0.601308i | ||||
\(3\) | 2.77706 | + | 1.13487i | 0.925687 | + | 0.378290i | ||||
\(4\) | 1.10743 | + | 3.84364i | 0.276858 | + | 0.960911i | ||||
\(5\) | −6.71804 | + | 2.44517i | −1.34361 | + | 0.489033i | −0.910947 | − | 0.412523i | \(-0.864647\pi\) |
−0.432661 | + | 0.901557i | \(0.642425\pi\) | |||||||
\(6\) | −3.07303 | − | 5.15330i | −0.512171 | − | 0.858883i | ||||
\(7\) | −0.389417 | − | 2.20849i | −0.0556310 | − | 0.315499i | 0.944276 | − | 0.329156i | \(-0.106764\pi\) |
−0.999907 | + | 0.0136563i | \(0.995653\pi\) | |||||||
\(8\) | 2.85270 | − | 7.47409i | 0.356588 | − | 0.934262i | ||||
\(9\) | 6.42414 | + | 6.30321i | 0.713793 | + | 0.700357i | ||||
\(10\) | 13.6763 | + | 4.17175i | 1.36763 | + | 0.417175i | ||||
\(11\) | −8.35856 | − | 3.04227i | −0.759869 | − | 0.276570i | −0.0671168 | − | 0.997745i | \(-0.521380\pi\) |
−0.692753 | + | 0.721175i | \(0.743602\pi\) | |||||||
\(12\) | −1.28663 | + | 11.9308i | −0.107219 | + | 0.994235i | ||||
\(13\) | −10.1762 | + | 12.1275i | −0.782782 | + | 0.932883i | −0.999056 | − | 0.0434497i | \(-0.986165\pi\) |
0.216274 | + | 0.976333i | \(0.430610\pi\) | |||||||
\(14\) | −2.03367 | + | 3.99757i | −0.145262 | + | 0.285541i | ||||
\(15\) | −21.4314 | − | 0.833733i | −1.42876 | − | 0.0555822i | ||||
\(16\) | −13.5472 | + | 8.51316i | −0.846699 | + | 0.532073i | ||||
\(17\) | −3.82500 | − | 2.20837i | −0.225000 | − | 0.129904i | 0.383263 | − | 0.923639i | \(-0.374800\pi\) |
−0.608263 | + | 0.793735i | \(0.708134\pi\) | |||||||
\(18\) | −2.68566 | − | 17.7985i | −0.149203 | − | 0.988807i | ||||
\(19\) | −2.69133 | + | 1.55384i | −0.141649 | + | 0.0817811i | −0.569150 | − | 0.822234i | \(-0.692727\pi\) |
0.427501 | + | 0.904015i | \(0.359394\pi\) | |||||||
\(20\) | −16.8381 | − | 23.1139i | −0.841907 | − | 1.15569i | ||||
\(21\) | 1.42492 | − | 6.57506i | 0.0678534 | − | 0.313098i | ||||
\(22\) | 9.69860 | + | 14.9138i | 0.440846 | + | 0.677899i | ||||
\(23\) | −39.4297 | − | 6.95252i | −1.71433 | − | 0.302283i | −0.771669 | − | 0.636024i | \(-0.780578\pi\) |
−0.942665 | + | 0.333740i | \(0.891689\pi\) | |||||||
\(24\) | 16.4043 | − | 17.5186i | 0.683511 | − | 0.729940i | ||||
\(25\) | 20.0021 | − | 16.7838i | 0.800084 | − | 0.671350i | ||||
\(26\) | 30.8466 | − | 7.14213i | 1.18641 | − | 0.274697i | ||||
\(27\) | 10.6869 | + | 24.7950i | 0.395810 | + | 0.918332i | ||||
\(28\) | 8.05741 | − | 3.94254i | 0.287765 | − | 0.140805i | ||||
\(29\) | −25.8356 | + | 21.6786i | −0.890882 | + | 0.747539i | −0.968387 | − | 0.249453i | \(-0.919749\pi\) |
0.0775049 | + | 0.996992i | \(0.475305\pi\) | |||||||
\(30\) | 33.2454 | + | 27.1060i | 1.10818 | + | 0.903533i | ||||
\(31\) | 0.648484 | − | 3.67773i | 0.0209188 | − | 0.118637i | −0.972560 | − | 0.232651i | \(-0.925260\pi\) |
0.993479 | + | 0.114015i | \(0.0363711\pi\) | |||||||
\(32\) | 31.8869 | + | 2.68771i | 0.996467 | + | 0.0839910i | ||||
\(33\) | −19.7597 | − | 17.9345i | −0.598778 | − | 0.543468i | ||||
\(34\) | 3.45667 | + | 8.12905i | 0.101667 | + | 0.239090i | ||||
\(35\) | 8.01626 | + | 13.8846i | 0.229036 | + | 0.396702i | ||||
\(36\) | −17.1130 | + | 31.6725i | −0.475361 | + | 0.879791i | ||||
\(37\) | 15.3411 | + | 8.85718i | 0.414624 | + | 0.239383i | 0.692775 | − | 0.721154i | \(-0.256388\pi\) |
−0.278151 | + | 0.960537i | \(0.589721\pi\) | |||||||
\(38\) | 6.16951 | + | 0.753543i | 0.162356 | + | 0.0198301i | ||||
\(39\) | −42.0230 | + | 22.1301i | −1.07751 | + | 0.567439i | ||||
\(40\) | −0.889177 | + | 57.1866i | −0.0222294 | + | 1.42966i | ||||
\(41\) | −23.0494 | + | 27.4692i | −0.562180 | + | 0.669980i | −0.970006 | − | 0.243080i | \(-0.921842\pi\) |
0.407827 | + | 0.913059i | \(0.366287\pi\) | |||||||
\(42\) | −10.1843 | + | 8.79355i | −0.242484 | + | 0.209370i | ||||
\(43\) | −13.2637 | + | 36.4418i | −0.308459 | + | 0.847483i | 0.684499 | + | 0.729014i | \(0.260021\pi\) |
−0.992958 | + | 0.118469i | \(0.962201\pi\) | |||||||
\(44\) | 2.43684 | − | 35.4964i | 0.0553826 | − | 0.806737i | ||||
\(45\) | −58.5700 | − | 26.6372i | −1.30156 | − | 0.591937i | ||||
\(46\) | 54.6488 | + | 58.5291i | 1.18802 | + | 1.27237i | ||||
\(47\) | 62.3405 | − | 10.9923i | 1.32639 | − | 0.233879i | 0.534827 | − | 0.844962i | \(-0.320377\pi\) |
0.791567 | + | 0.611083i | \(0.209266\pi\) | |||||||
\(48\) | −47.2827 | + | 8.26726i | −0.985056 | + | 0.172235i | ||||
\(49\) | 41.3191 | − | 15.0389i | 0.843248 | − | 0.306917i | ||||
\(50\) | −52.1485 | + | 2.76621i | −1.04297 | + | 0.0553241i | ||||
\(51\) | −8.11605 | − | 10.4736i | −0.159138 | − | 0.205366i | ||||
\(52\) | −57.8831 | − | 25.6832i | −1.11314 | − | 0.493907i | ||||
\(53\) | −38.6255 | −0.728783 | −0.364392 | − | 0.931246i | \(-0.618723\pi\) | ||||
−0.364392 | + | 0.931246i | \(0.618723\pi\) | |||||||
\(54\) | 12.7408 | − | 52.4754i | 0.235941 | − | 0.971767i | ||||
\(55\) | 63.5920 | 1.15622 | ||||||||
\(56\) | −17.6174 | − | 3.38964i | −0.314596 | − | 0.0605293i | ||||
\(57\) | −9.23740 | + | 1.26080i | −0.162060 | + | 0.0221192i | ||||
\(58\) | 67.3572 | − | 3.57295i | 1.16133 | − | 0.0616026i | ||||
\(59\) | 90.7704 | − | 33.0377i | 1.53848 | − | 0.559962i | 0.572801 | − | 0.819694i | \(-0.305857\pi\) |
0.965681 | + | 0.259733i | \(0.0836344\pi\) | |||||||
\(60\) | −20.5292 | − | 83.2978i | −0.342154 | − | 1.38830i | ||||
\(61\) | 9.90215 | − | 1.74602i | 0.162330 | − | 0.0286232i | −0.0918922 | − | 0.995769i | \(-0.529292\pi\) |
0.254223 | + | 0.967146i | \(0.418180\pi\) | |||||||
\(62\) | −5.45920 | + | 5.09727i | −0.0880516 | + | 0.0822141i | ||||
\(63\) | 11.4189 | − | 16.6422i | 0.181253 | − | 0.264163i | ||||
\(64\) | −47.7242 | − | 42.6428i | −0.745690 | − | 0.666293i | ||||
\(65\) | 38.7102 | − | 106.355i | 0.595541 | − | 1.63624i | ||||
\(66\) | 10.0084 | + | 52.4232i | 0.151642 | + | 0.794290i | ||||
\(67\) | −38.7410 | + | 46.1697i | −0.578223 | + | 0.689100i | −0.973297 | − | 0.229550i | \(-0.926275\pi\) |
0.395074 | + | 0.918649i | \(0.370719\pi\) | |||||||
\(68\) | 4.25223 | − | 17.1476i | 0.0625328 | − | 0.252170i | ||||
\(69\) | −101.608 | − | 64.0552i | −1.47259 | − | 0.928336i | ||||
\(70\) | 3.88752 | − | 31.8285i | 0.0555361 | − | 0.454693i | ||||
\(71\) | 102.151 | + | 58.9768i | 1.43874 | + | 0.830659i | 0.997763 | − | 0.0668576i | \(-0.0212973\pi\) |
0.440981 | + | 0.897516i | \(0.354631\pi\) | |||||||
\(72\) | 65.4370 | − | 30.0334i | 0.908847 | − | 0.417130i | ||||
\(73\) | −64.0047 | − | 110.859i | −0.876777 | − | 1.51862i | −0.854858 | − | 0.518862i | \(-0.826356\pi\) |
−0.0219185 | − | 0.999760i | \(-0.506977\pi\) | |||||||
\(74\) | −13.8638 | − | 32.6035i | −0.187349 | − | 0.440588i | ||||
\(75\) | 74.5945 | − | 23.9097i | 0.994593 | − | 0.318796i | ||||
\(76\) | −8.95288 | − | 8.62374i | −0.117801 | − | 0.113470i | ||||
\(77\) | −3.46386 | + | 19.6446i | −0.0449853 | + | 0.255124i | ||||
\(78\) | 93.7682 | + | 15.1727i | 1.20216 | + | 0.194522i | ||||
\(79\) | 41.9483 | − | 35.1988i | 0.530991 | − | 0.445555i | −0.337452 | − | 0.941343i | \(-0.609565\pi\) |
0.868444 | + | 0.495788i | \(0.165121\pi\) | |||||||
\(80\) | 70.1944 | − | 90.3169i | 0.877430 | − | 1.12896i | ||||
\(81\) | 1.53902 | + | 80.9854i | 0.0190003 | + | 0.999819i | ||||
\(82\) | 69.8685 | − | 16.1772i | 0.852055 | − | 0.197283i | ||||
\(83\) | 19.4523 | − | 16.3225i | 0.234366 | − | 0.196656i | −0.518040 | − | 0.855357i | \(-0.673338\pi\) |
0.752405 | + | 0.658701i | \(0.228894\pi\) | |||||||
\(84\) | 26.8502 | − | 1.80456i | 0.319645 | − | 0.0214828i | ||||
\(85\) | 31.0963 | + | 5.48312i | 0.365839 | + | 0.0645073i | ||||
\(86\) | 65.0213 | − | 42.2841i | 0.756062 | − | 0.491675i | ||||
\(87\) | −96.3494 | + | 30.8828i | −1.10746 | + | 0.354975i | ||||
\(88\) | −46.5827 | + | 53.7940i | −0.529349 | + | 0.611295i | ||||
\(89\) | −106.847 | + | 61.6879i | −1.20052 | + | 0.693122i | −0.960672 | − | 0.277687i | \(-0.910432\pi\) |
−0.239852 | + | 0.970810i | \(0.577099\pi\) | |||||||
\(90\) | 61.5627 | + | 113.004i | 0.684030 | + | 1.25560i | ||||
\(91\) | 30.7462 | + | 17.7514i | 0.337871 | + | 0.195070i | ||||
\(92\) | −16.9428 | − | 159.253i | −0.184161 | − | 1.73101i | ||||
\(93\) | 5.97463 | − | 9.47734i | 0.0642434 | − | 0.101907i | ||||
\(94\) | −112.842 | − | 57.4055i | −1.20045 | − | 0.610697i | ||||
\(95\) | 14.2811 | − | 17.0195i | 0.150327 | − | 0.179153i | ||||
\(96\) | 85.5017 | + | 43.6515i | 0.890643 | + | 0.454703i | ||||
\(97\) | 57.7071 | + | 21.0037i | 0.594918 | + | 0.216533i | 0.621891 | − | 0.783104i | \(-0.286365\pi\) |
−0.0269730 | + | 0.999636i | \(0.508587\pi\) | |||||||
\(98\) | −84.1155 | − | 25.6583i | −0.858321 | − | 0.261819i | ||||
\(99\) | −34.5205 | − | 72.2297i | −0.348692 | − | 0.729593i | ||||
\(100\) | 86.6618 | + | 58.2940i | 0.866618 | + | 0.582940i | ||||
\(101\) | −24.7773 | − | 140.519i | −0.245320 | − | 1.39128i | −0.819749 | − | 0.572722i | \(-0.805887\pi\) |
0.574430 | − | 0.818554i | \(-0.305224\pi\) | |||||||
\(102\) | 0.373968 | + | 26.4977i | 0.00366636 | + | 0.259782i | ||||
\(103\) | −165.824 | + | 60.3549i | −1.60994 | + | 0.585970i | −0.981428 | − | 0.191831i | \(-0.938557\pi\) |
−0.628511 | + | 0.777801i | \(0.716335\pi\) | |||||||
\(104\) | 61.6123 | + | 110.654i | 0.592426 | + | 1.06398i | ||||
\(105\) | 6.50444 | + | 47.6557i | 0.0619471 | + | 0.453864i | ||||
\(106\) | 61.7249 | + | 46.4516i | 0.582311 | + | 0.438223i | ||||
\(107\) | −1.10560 | −0.0103327 | −0.00516637 | − | 0.999987i | \(-0.501645\pi\) | ||||
−0.00516637 | + | 0.999987i | \(0.501645\pi\) | |||||||
\(108\) | −83.4680 | + | 68.5353i | −0.772852 | + | 0.634587i | ||||
\(109\) | − | 35.4306i | − | 0.325051i | −0.986704 | − | 0.162526i | \(-0.948036\pi\) | ||
0.986704 | − | 0.162526i | \(-0.0519640\pi\) | |||||||
\(110\) | −101.622 | − | 76.4767i | −0.923839 | − | 0.695243i | ||||
\(111\) | 32.5514 | + | 42.0071i | 0.293256 | + | 0.378442i | ||||
\(112\) | 24.0768 | + | 26.6037i | 0.214971 | + | 0.237533i | ||||
\(113\) | 69.5250 | + | 191.018i | 0.615265 | + | 1.69043i | 0.718285 | + | 0.695749i | \(0.244927\pi\) |
−0.103020 | + | 0.994679i | \(0.532851\pi\) | |||||||
\(114\) | 16.2779 | + | 9.09424i | 0.142789 | + | 0.0797740i | ||||
\(115\) | 281.890 | − | 49.7049i | 2.45122 | − | 0.432216i | ||||
\(116\) | −111.936 | − | 75.2951i | −0.964966 | − | 0.649096i | ||||
\(117\) | −141.815 | + | 13.7660i | −1.21210 | + | 0.117658i | ||||
\(118\) | −184.786 | − | 56.3664i | −1.56598 | − | 0.477682i | ||||
\(119\) | −3.38764 | + | 9.30747i | −0.0284676 | + | 0.0782140i | ||||
\(120\) | −67.3687 | + | 157.802i | −0.561406 | + | 1.31501i | ||||
\(121\) | −32.0812 | − | 26.9193i | −0.265134 | − | 0.222474i | ||||
\(122\) | −17.9238 | − | 9.11828i | −0.146916 | − | 0.0747400i | ||||
\(123\) | −95.1835 | + | 50.1255i | −0.773849 | + | 0.407524i | ||||
\(124\) | 14.8540 | − | 1.58031i | 0.119791 | − | 0.0127444i | ||||
\(125\) | −3.97099 | + | 6.87795i | −0.0317679 | + | 0.0550236i | ||||
\(126\) | −38.2621 | + | 12.8623i | −0.303667 | + | 0.102082i | ||||
\(127\) | 18.9663 | + | 32.8506i | 0.149341 | + | 0.258666i | 0.930984 | − | 0.365060i | \(-0.118952\pi\) |
−0.781643 | + | 0.623726i | \(0.785618\pi\) | |||||||
\(128\) | 24.9821 | + | 125.538i | 0.195172 | + | 0.980769i | ||||
\(129\) | −78.1909 | + | 86.1484i | −0.606131 | + | 0.667817i | ||||
\(130\) | −189.765 | + | 123.406i | −1.45973 | + | 0.949278i | ||||
\(131\) | −29.4405 | + | 166.965i | −0.224737 | + | 1.27454i | 0.638452 | + | 0.769662i | \(0.279575\pi\) |
−0.863188 | + | 0.504882i | \(0.831536\pi\) | |||||||
\(132\) | 47.0511 | − | 95.8103i | 0.356448 | − | 0.725836i | ||||
\(133\) | 4.47970 | + | 5.33870i | 0.0336819 | + | 0.0401406i | ||||
\(134\) | 117.434 | − | 27.1903i | 0.876372 | − | 0.202913i | ||||
\(135\) | −132.423 | − | 140.442i | −0.980909 | − | 1.04031i | ||||
\(136\) | −27.4171 | + | 22.2886i | −0.201597 | + | 0.163887i | ||||
\(137\) | −2.38325 | − | 2.84024i | −0.0173959 | − | 0.0207317i | 0.757276 | − | 0.653095i | \(-0.226530\pi\) |
−0.774672 | + | 0.632363i | \(0.782085\pi\) | |||||||
\(138\) | 85.3402 | + | 224.558i | 0.618407 | + | 1.62723i | ||||
\(139\) | 2.47862 | + | 0.437048i | 0.0178318 | + | 0.00314423i | 0.182557 | − | 0.983195i | \(-0.441563\pi\) |
−0.164725 | + | 0.986340i | \(0.552674\pi\) | |||||||
\(140\) | −44.4898 | + | 46.1879i | −0.317784 | + | 0.329913i | ||||
\(141\) | 185.598 | + | 40.2221i | 1.31630 | + | 0.285263i | ||||
\(142\) | −92.3142 | − | 217.095i | −0.650100 | − | 1.52884i | ||||
\(143\) | 121.953 | − | 70.4097i | 0.852819 | − | 0.492375i | ||||
\(144\) | −140.689 | − | 30.7011i | −0.977008 | − | 0.213202i | ||||
\(145\) | 120.557 | − | 208.810i | 0.831425 | − | 1.44007i | ||||
\(146\) | −31.0394 | + | 254.130i | −0.212599 | + | 1.74062i | ||||
\(147\) | 131.813 | + | 5.12785i | 0.896687 | + | 0.0348834i | ||||
\(148\) | −17.0546 | + | 68.7744i | −0.115234 | + | 0.464692i | ||||
\(149\) | 162.553 | + | 136.398i | 1.09096 | + | 0.915424i | 0.996784 | − | 0.0801318i | \(-0.0255341\pi\) |
0.0941753 | + | 0.995556i | \(0.469979\pi\) | |||||||
\(150\) | −147.959 | − | 51.4999i | −0.986392 | − | 0.343332i | ||||
\(151\) | 124.098 | + | 45.1680i | 0.821841 | + | 0.299126i | 0.718506 | − | 0.695521i | \(-0.244826\pi\) |
0.103335 | + | 0.994647i | \(0.467049\pi\) | |||||||
\(152\) | 3.93598 | + | 24.5479i | 0.0258946 | + | 0.161499i | ||||
\(153\) | −10.6525 | − | 38.2966i | −0.0696244 | − | 0.250305i | ||||
\(154\) | 29.1602 | − | 27.2270i | 0.189352 | − | 0.176799i | ||||
\(155\) | 4.63613 | + | 26.2928i | 0.0299105 | + | 0.169631i | ||||
\(156\) | −131.598 | − | 137.014i | −0.843576 | − | 0.878292i | ||||
\(157\) | −4.39315 | − | 12.0701i | −0.0279819 | − | 0.0768795i | 0.924915 | − | 0.380174i | \(-0.124136\pi\) |
−0.952897 | + | 0.303294i | \(0.901914\pi\) | |||||||
\(158\) | −109.366 | + | 5.80127i | −0.692187 | + | 0.0367169i | ||||
\(159\) | −107.265 | − | 43.8350i | −0.674625 | − | 0.275692i | ||||
\(160\) | −220.790 | + | 59.9127i | −1.37993 | + | 0.374454i | ||||
\(161\) | 89.7877i | 0.557687i | ||||||||
\(162\) | 94.9348 | − | 131.268i | 0.586017 | − | 0.810298i | ||||
\(163\) | − | 196.169i | − | 1.20349i | −0.798688 | − | 0.601746i | \(-0.794472\pi\) | ||
0.798688 | − | 0.601746i | \(-0.205528\pi\) | |||||||
\(164\) | −131.107 | − | 58.1732i | −0.799435 | − | 0.354715i | ||||
\(165\) | 176.599 | + | 72.1687i | 1.07030 | + | 0.437386i | ||||
\(166\) | −50.7152 | + | 2.69018i | −0.305513 | + | 0.0162059i | ||||
\(167\) | 45.3843 | + | 124.692i | 0.271763 | + | 0.746662i | 0.998231 | + | 0.0594613i | \(0.0189383\pi\) |
−0.726468 | + | 0.687200i | \(0.758839\pi\) | |||||||
\(168\) | −45.0777 | − | 29.4067i | −0.268320 | − | 0.175040i | ||||
\(169\) | −14.1749 | − | 80.3900i | −0.0838753 | − | 0.475680i | ||||
\(170\) | −43.0989 | − | 46.1591i | −0.253523 | − | 0.271524i | ||||
\(171\) | −27.0837 | − | 6.98195i | −0.158384 | − | 0.0408301i | ||||
\(172\) | −154.758 | − | 10.6241i | −0.899755 | − | 0.0617683i | ||||
\(173\) | −44.0936 | − | 16.0487i | −0.254876 | − | 0.0927673i | 0.211422 | − | 0.977395i | \(-0.432190\pi\) |
−0.466298 | + | 0.884628i | \(0.654413\pi\) | |||||||
\(174\) | 191.110 | + | 66.5194i | 1.09833 | + | 0.382296i | ||||
\(175\) | −44.8560 | − | 37.6386i | −0.256320 | − | 0.215078i | ||||
\(176\) | 139.134 | − | 29.9436i | 0.790536 | − | 0.170134i | ||||
\(177\) | 289.569 | + | 11.2649i | 1.63598 | + | 0.0636437i | ||||
\(178\) | 244.931 | + | 29.9159i | 1.37602 | + | 0.168067i | ||||
\(179\) | −142.015 | + | 245.977i | −0.793379 | + | 1.37417i | 0.130484 | + | 0.991450i | \(0.458347\pi\) |
−0.923863 | + | 0.382722i | \(0.874987\pi\) | |||||||
\(180\) | 37.5213 | − | 254.621i | 0.208452 | − | 1.41456i | ||||
\(181\) | −222.513 | + | 128.468i | −1.22935 | + | 0.709766i | −0.966894 | − | 0.255177i | \(-0.917866\pi\) |
−0.262457 | + | 0.964944i | \(0.584533\pi\) | |||||||
\(182\) | −27.7855 | − | 65.3432i | −0.152668 | − | 0.359028i | ||||
\(183\) | 29.4804 | + | 6.38887i | 0.161095 | + | 0.0349119i | ||||
\(184\) | −164.445 | + | 274.868i | −0.893723 | + | 1.49385i | ||||
\(185\) | −124.719 | − | 21.9914i | −0.674158 | − | 0.118872i | ||||
\(186\) | −20.9453 | + | 7.95995i | −0.112609 | + | 0.0427954i | ||||
\(187\) | 25.2531 | + | 30.0954i | 0.135043 | + | 0.160938i | ||||
\(188\) | 111.289 | + | 227.441i | 0.591960 | + | 1.20979i | ||||
\(189\) | 50.5979 | − | 33.2575i | 0.267714 | − | 0.175966i | ||||
\(190\) | −43.2896 | + | 10.0232i | −0.227840 | + | 0.0527534i | ||||
\(191\) | 175.078 | + | 208.650i | 0.916639 | + | 1.09241i | 0.995428 | + | 0.0955161i | \(0.0304501\pi\) |
−0.0787892 | + | 0.996891i | \(0.525105\pi\) | |||||||
\(192\) | −84.1389 | − | 172.582i | −0.438223 | − | 0.898866i | ||||
\(193\) | 48.3018 | − | 273.933i | 0.250268 | − | 1.41934i | −0.557664 | − | 0.830067i | \(-0.688302\pi\) |
0.807932 | − | 0.589276i | \(-0.200587\pi\) | |||||||
\(194\) | −66.9586 | − | 102.964i | −0.345148 | − | 0.530742i | ||||
\(195\) | 228.200 | − | 251.424i | 1.17026 | − | 1.28935i | ||||
\(196\) | 103.563 | + | 142.161i | 0.528380 | + | 0.725313i | ||||
\(197\) | −159.727 | − | 276.655i | −0.810795 | − | 1.40434i | −0.912308 | − | 0.409504i | \(-0.865702\pi\) |
0.101514 | − | 0.994834i | \(-0.467631\pi\) | |||||||
\(198\) | −31.6996 | + | 156.941i | −0.160099 | + | 0.792629i | ||||
\(199\) | −113.536 | + | 196.651i | −0.570535 | + | 0.988196i | 0.425976 | + | 0.904734i | \(0.359931\pi\) |
−0.996511 | + | 0.0834612i | \(0.973403\pi\) | |||||||
\(200\) | −68.3833 | − | 197.377i | −0.341916 | − | 0.986883i | ||||
\(201\) | −159.983 | + | 84.2500i | −0.795934 | + | 0.419154i | ||||
\(202\) | −129.395 | + | 254.352i | −0.640570 | + | 1.25917i | ||||
\(203\) | 57.9379 | + | 48.6157i | 0.285409 | + | 0.239486i | ||||
\(204\) | 31.2690 | − | 42.7941i | 0.153279 | − | 0.209775i | ||||
\(205\) | 87.6799 | − | 240.898i | 0.427707 | − | 1.17511i | ||||
\(206\) | 337.576 | + | 102.973i | 1.63872 | + | 0.499868i | ||||
\(207\) | −209.478 | − | 293.198i | −1.01197 | − | 1.41641i | ||||
\(208\) | 34.6151 | − | 250.924i | 0.166419 | − | 1.20637i | ||||
\(209\) | 27.2229 | − | 4.80012i | 0.130253 | − | 0.0229671i | ||||
\(210\) | 46.9171 | − | 83.9778i | 0.223415 | − | 0.399894i | ||||
\(211\) | −49.4811 | − | 135.948i | −0.234508 | − | 0.644304i | −1.00000 | 0.000859038i | \(-0.999727\pi\) | |
0.765492 | − | 0.643445i | \(-0.222496\pi\) | |||||||
\(212\) | −42.7752 | − | 148.463i | −0.201770 | − | 0.700296i | ||||
\(213\) | 216.748 | + | 279.710i | 1.01760 | + | 1.31319i | ||||
\(214\) | 1.76679 | + | 1.32961i | 0.00825603 | + | 0.00621315i | ||||
\(215\) | − | 277.249i | − | 1.28953i | ||||||
\(216\) | 215.806 | − | 9.14203i | 0.999104 | − | 0.0423242i | ||||
\(217\) | −8.37478 | −0.0385935 | ||||||||
\(218\) | −42.6094 | + | 56.6194i | −0.195456 | + | 0.259722i | ||||
\(219\) | −51.9338 | − | 380.500i | −0.237141 | − | 1.73744i | ||||
\(220\) | 70.4240 | + | 244.425i | 0.320109 | + | 1.11102i | ||||
\(221\) | 65.7057 | − | 23.9149i | 0.297311 | − | 0.108212i | ||||
\(222\) | −1.49989 | − | 106.276i | −0.00675626 | − | 0.478719i | ||||
\(223\) | 21.5786 | + | 122.378i | 0.0967651 | + | 0.548782i | 0.994192 | + | 0.107619i | \(0.0343227\pi\) |
−0.897427 | + | 0.441163i | \(0.854566\pi\) | |||||||
\(224\) | −6.48152 | − | 71.4687i | −0.0289354 | − | 0.319057i | ||||
\(225\) | 234.288 | + | 18.2564i | 1.04128 | + | 0.0811395i | ||||
\(226\) | 118.618 | − | 388.866i | 0.524859 | − | 1.72065i | ||||
\(227\) | −368.916 | − | 134.274i | −1.62518 | − | 0.591517i | −0.640820 | − | 0.767691i | \(-0.721406\pi\) |
−0.984359 | + | 0.176174i | \(0.943628\pi\) | |||||||
\(228\) | −15.0759 | − | 34.1090i | −0.0661222 | − | 0.149601i | ||||
\(229\) | 43.9453 | − | 52.3719i | 0.191901 | − | 0.228698i | −0.661511 | − | 0.749935i | \(-0.730085\pi\) |
0.853412 | + | 0.521237i | \(0.174529\pi\) | |||||||
\(230\) | −510.246 | − | 259.575i | −2.21846 | − | 1.12859i | ||||
\(231\) | −31.9134 | + | 50.6231i | −0.138153 | + | 0.219148i | ||||
\(232\) | 88.3268 | + | 254.940i | 0.380719 | + | 1.09888i | ||||
\(233\) | −5.71645 | − | 3.30039i | −0.0245341 | − | 0.0141648i | 0.487683 | − | 0.873021i | \(-0.337842\pi\) |
−0.512217 | + | 0.858856i | \(0.671176\pi\) | |||||||
\(234\) | 243.181 | + | 148.550i | 1.03923 | + | 0.634831i | ||||
\(235\) | −391.928 | + | 226.280i | −1.66778 | + | 0.962892i | ||||
\(236\) | 227.508 | + | 312.302i | 0.964015 | + | 1.32331i | ||||
\(237\) | 156.439 | − | 50.1433i | 0.660081 | − | 0.211575i | ||||
\(238\) | 16.6069 | − | 10.7996i | 0.0697768 | − | 0.0453766i | ||||
\(239\) | 31.4765 | + | 5.55016i | 0.131701 | + | 0.0232224i | 0.239110 | − | 0.970992i | \(-0.423144\pi\) |
−0.107409 | + | 0.994215i | \(0.534255\pi\) | |||||||
\(240\) | 297.432 | − | 171.154i | 1.23930 | − | 0.713141i | ||||
\(241\) | −315.684 | + | 264.890i | −1.30989 | + | 1.09913i | −0.321547 | + | 0.946894i | \(0.604203\pi\) |
−0.988344 | + | 0.152235i | \(0.951353\pi\) | |||||||
\(242\) | 18.8933 | + | 81.5993i | 0.0780715 | + | 0.337187i | ||||
\(243\) | −87.6340 | + | 226.648i | −0.360634 | + | 0.932707i | ||||
\(244\) | 17.6770 | + | 36.1267i | 0.0724469 | + | 0.148060i | ||||
\(245\) | −240.811 | + | 202.064i | −0.982902 | + | 0.824752i | ||||
\(246\) | 212.388 | + | 34.3668i | 0.863367 | + | 0.139702i | ||||
\(247\) | 8.54325 | − | 48.4512i | 0.0345881 | − | 0.196159i | ||||
\(248\) | −25.6378 | − | 15.3383i | −0.103378 | − | 0.0618480i | ||||
\(249\) | 72.5442 | − | 23.2526i | 0.291342 | − | 0.0933837i | ||||
\(250\) | 14.6173 | − | 6.21564i | 0.0584692 | − | 0.0248626i | ||||
\(251\) | −45.3509 | − | 78.5501i | −0.180681 | − | 0.312949i | 0.761432 | − | 0.648245i | \(-0.224497\pi\) |
−0.942113 | + | 0.335297i | \(0.891163\pi\) | |||||||
\(252\) | 76.6126 | + | 25.4601i | 0.304018 | + | 0.101032i | ||||
\(253\) | 308.424 | + | 178.069i | 1.21907 | + | 0.703829i | ||||
\(254\) | 9.19779 | − | 75.3055i | 0.0362118 | − | 0.296478i | ||||
\(255\) | 80.1338 | + | 50.5173i | 0.314250 | + | 0.198107i | ||||
\(256\) | 111.052 | − | 230.659i | 0.433798 | − | 0.901010i | ||||
\(257\) | −176.182 | + | 209.965i | −0.685531 | + | 0.816984i | −0.990807 | − | 0.135279i | \(-0.956807\pi\) |
0.305276 | + | 0.952264i | \(0.401251\pi\) | |||||||
\(258\) | 228.555 | − | 43.6347i | 0.885873 | − | 0.169127i | ||||
\(259\) | 13.5870 | − | 37.3298i | 0.0524593 | − | 0.144131i | ||||
\(260\) | 451.661 | + | 31.0066i | 1.73716 | + | 0.119256i | ||||
\(261\) | −302.616 | − | 23.5807i | −1.15945 | − | 0.0903476i | ||||
\(262\) | 247.842 | − | 231.411i | 0.945961 | − | 0.883248i | ||||
\(263\) | 3.12309 | − | 0.550685i | 0.0118749 | − | 0.00209386i | −0.167708 | − | 0.985837i | \(-0.553636\pi\) |
0.179582 | + | 0.983743i | \(0.442525\pi\) | |||||||
\(264\) | −190.412 | + | 96.5238i | −0.721259 | + | 0.365621i | ||||
\(265\) | 259.488 | − | 94.4458i | 0.979199 | − | 0.356399i | ||||
\(266\) | −0.738319 | − | 13.9188i | −0.00277564 | − | 0.0523262i | ||||
\(267\) | −366.727 | + | 50.0540i | −1.37351 | + | 0.187468i | ||||
\(268\) | −220.363 | − | 97.7766i | −0.822249 | − | 0.364838i | ||||
\(269\) | 257.359 | 0.956727 | 0.478363 | − | 0.878162i | \(-0.341230\pi\) | ||||
0.478363 | + | 0.878162i | \(0.341230\pi\) | |||||||
\(270\) | 42.7180 | + | 383.685i | 0.158215 | + | 1.42106i | ||||
\(271\) | 53.3971 | 0.197037 | 0.0985186 | − | 0.995135i | \(-0.468590\pi\) | ||||
0.0985186 | + | 0.995135i | \(0.468590\pi\) | |||||||
\(272\) | 70.6181 | − | 2.64573i | 0.259626 | − | 0.00972693i | ||||
\(273\) | 65.2387 | + | 84.1896i | 0.238970 | + | 0.308387i | ||||
\(274\) | 0.392793 | + | 7.40493i | 0.00143355 | + | 0.0270253i | ||||
\(275\) | −218.250 | + | 79.4363i | −0.793635 | + | 0.288859i | ||||
\(276\) | 133.681 | − | 461.483i | 0.484350 | − | 1.67204i | ||||
\(277\) | 245.732 | − | 43.3293i | 0.887121 | − | 0.156423i | 0.288523 | − | 0.957473i | \(-0.406836\pi\) |
0.598598 | + | 0.801050i | \(0.295725\pi\) | |||||||
\(278\) | −3.43533 | − | 3.67925i | −0.0123573 | − | 0.0132347i | ||||
\(279\) | 27.3475 | − | 19.5387i | 0.0980196 | − | 0.0700313i | ||||
\(280\) | 126.643 | − | 20.3057i | 0.452295 | − | 0.0725203i | ||||
\(281\) | −142.185 | + | 390.650i | −0.505996 | + | 1.39021i | 0.379339 | + | 0.925258i | \(0.376152\pi\) |
−0.885335 | + | 0.464954i | \(0.846071\pi\) | |||||||
\(282\) | −248.221 | − | 287.480i | −0.880216 | − | 1.01943i | ||||
\(283\) | −178.121 | + | 212.276i | −0.629401 | + | 0.750091i | −0.982656 | − | 0.185436i | \(-0.940630\pi\) |
0.353255 | + | 0.935527i | \(0.385075\pi\) | |||||||
\(284\) | −113.560 | + | 457.944i | −0.399861 | + | 1.61248i | ||||
\(285\) | 58.9743 | − | 31.0570i | 0.206927 | − | 0.108972i | ||||
\(286\) | −279.561 | − | 34.1455i | −0.977487 | − | 0.119390i | ||||
\(287\) | 69.6413 | + | 40.2074i | 0.242653 | + | 0.140096i | ||||
\(288\) | 187.905 | + | 218.256i | 0.652447 | + | 0.757834i | ||||
\(289\) | −134.746 | − | 233.387i | −0.466250 | − | 0.807569i | ||||
\(290\) | −443.772 | + | 188.703i | −1.53025 | + | 0.650699i | ||||
\(291\) | 136.420 | + | 123.819i | 0.468796 | + | 0.425493i | ||||
\(292\) | 355.223 | − | 368.781i | 1.21652 | − | 1.26295i | ||||
\(293\) | −38.4190 | + | 217.885i | −0.131123 | + | 0.743634i | 0.846359 | + | 0.532613i | \(0.178790\pi\) |
−0.977482 | + | 0.211021i | \(0.932321\pi\) | |||||||
\(294\) | −204.475 | − | 166.715i | −0.695493 | − | 0.567057i | ||||
\(295\) | −529.017 | + | 443.898i | −1.79328 | + | 1.50474i | ||||
\(296\) | 109.963 | − | 89.3938i | 0.371497 | − | 0.302006i | ||||
\(297\) | −13.8940 | − | 239.763i | −0.0467812 | − | 0.807282i | ||||
\(298\) | −95.7309 | − | 413.458i | −0.321245 | − | 1.38744i | ||||
\(299\) | 485.560 | − | 407.433i | 1.62395 | − | 1.36265i | ||||
\(300\) | 174.509 | + | 260.236i | 0.581696 | + | 0.867454i | ||||
\(301\) | 85.6466 | + | 15.1018i | 0.284540 | + | 0.0501721i | ||||
\(302\) | −143.993 | − | 221.422i | −0.476799 | − | 0.733186i | ||||
\(303\) | 90.6628 | − | 418.348i | 0.299217 | − | 1.38069i | ||||
\(304\) | 23.2318 | − | 43.9619i | 0.0764205 | − | 0.144611i | ||||
\(305\) | −62.2538 | + | 35.9422i | −0.204111 | + | 0.117843i | ||||
\(306\) | −29.0330 | + | 74.0103i | −0.0948791 | + | 0.241864i | ||||
\(307\) | −246.292 | − | 142.197i | −0.802256 | − | 0.463182i | 0.0420037 | − | 0.999117i | \(-0.486626\pi\) |
−0.844259 | + | 0.535935i | \(0.819959\pi\) | |||||||
\(308\) | −79.3426 | + | 8.44118i | −0.257606 | + | 0.0274064i | ||||
\(309\) | −528.997 | − | 20.5793i | −1.71197 | − | 0.0665997i | ||||
\(310\) | 24.2114 | − | 47.5923i | 0.0781014 | − | 0.153524i | ||||
\(311\) | 198.948 | − | 237.097i | 0.639705 | − | 0.762370i | −0.344619 | − | 0.938743i | \(-0.611992\pi\) |
0.984324 | + | 0.176372i | \(0.0564363\pi\) | |||||||
\(312\) | 45.5235 | + | 377.214i | 0.145909 | + | 1.20902i | ||||
\(313\) | 40.3078 | + | 14.6709i | 0.128779 | + | 0.0468717i | 0.405606 | − | 0.914048i | \(-0.367061\pi\) |
−0.276827 | + | 0.960920i | \(0.589283\pi\) | |||||||
\(314\) | −7.49525 | + | 24.5717i | −0.0238702 | + | 0.0782538i | ||||
\(315\) | −36.0198 | + | 139.724i | −0.114349 | + | 0.443570i | ||||
\(316\) | 181.747 | + | 122.254i | 0.575148 | + | 0.386880i | ||||
\(317\) | −70.4296 | − | 399.426i | −0.222175 | − | 1.26002i | −0.868012 | − | 0.496543i | \(-0.834602\pi\) |
0.645837 | − | 0.763475i | \(-0.276509\pi\) | |||||||
\(318\) | 118.697 | + | 199.049i | 0.373262 | + | 0.625940i | ||||
\(319\) | 281.901 | − | 102.603i | 0.883701 | − | 0.321641i | ||||
\(320\) | 424.881 | + | 169.782i | 1.32775 | + | 0.530569i | ||||
\(321\) | −3.07032 | − | 1.25472i | −0.00956487 | − | 0.00390877i | ||||
\(322\) | 107.980 | − | 143.484i | 0.335342 | − | 0.445602i | ||||
\(323\) | 13.7258 | 0.0424947 | ||||||||
\(324\) | −309.575 | + | 95.6014i | −0.955477 | + | 0.295066i | ||||
\(325\) | 413.369i | 1.27191i | ||||||||
\(326\) | −235.916 | + | 313.485i | −0.723669 | + | 0.961611i | ||||
\(327\) | 40.2092 | − | 98.3930i | 0.122964 | − | 0.300896i | ||||
\(328\) | 139.554 | + | 250.635i | 0.425470 | + | 0.764130i | ||||
\(329\) | −48.5529 | − | 133.398i | −0.147577 | − | 0.405465i | ||||
\(330\) | −195.420 | − | 327.709i | −0.592182 | − | 0.993057i | ||||
\(331\) | 336.541 | − | 59.3413i | 1.01674 | − | 0.179279i | 0.359647 | − | 0.933088i | \(-0.382897\pi\) |
0.657093 | + | 0.753810i | \(0.271786\pi\) | |||||||
\(332\) | 84.2799 | + | 56.6918i | 0.253855 | + | 0.170759i | ||||
\(333\) | 42.7245 | + | 153.598i | 0.128302 | + | 0.461255i | ||||
\(334\) | 77.4313 | − | 253.843i | 0.231830 | − | 0.760009i | ||||
\(335\) | 147.371 | − | 404.898i | 0.439913 | − | 1.20865i | ||||
\(336\) | 36.6709 | + | 101.204i | 0.109140 | + | 0.301203i | ||||
\(337\) | 29.1113 | + | 24.4273i | 0.0863836 | + | 0.0724845i | 0.684957 | − | 0.728584i | \(-0.259821\pi\) |
−0.598573 | + | 0.801068i | \(0.704265\pi\) | |||||||
\(338\) | −74.0262 | + | 145.513i | −0.219012 | + | 0.430512i | ||||
\(339\) | −23.7061 | + | 609.372i | −0.0699294 | + | 1.79756i | ||||
\(340\) | 13.3620 | + | 125.595i | 0.0392999 | + | 0.369398i | ||||
\(341\) | −16.6090 | + | 28.7677i | −0.0487069 | + | 0.0843628i | ||||
\(342\) | 34.8840 | + | 43.7286i | 0.102000 | + | 0.127861i | ||||
\(343\) | −104.247 | − | 180.560i | −0.303926 | − | 0.526415i | ||||
\(344\) | 234.532 | + | 203.092i | 0.681778 | + | 0.590383i | ||||
\(345\) | 839.235 | + | 181.876i | 2.43257 | + | 0.527176i | ||||
\(346\) | 51.1626 | + | 78.6740i | 0.147869 | + | 0.227382i | ||||
\(347\) | 67.5303 | − | 382.983i | 0.194612 | − | 1.10370i | −0.718359 | − | 0.695673i | \(-0.755106\pi\) |
0.912971 | − | 0.408025i | \(-0.133782\pi\) | |||||||
\(348\) | −225.403 | − | 336.132i | −0.647710 | − | 0.965897i | ||||
\(349\) | 16.9756 | + | 20.2308i | 0.0486408 | + | 0.0579679i | 0.789816 | − | 0.613343i | \(-0.210176\pi\) |
−0.741176 | + | 0.671311i | \(0.765731\pi\) | |||||||
\(350\) | 26.4167 | + | 114.092i | 0.0754762 | + | 0.325978i | ||||
\(351\) | −409.452 | − | 122.713i | −1.16653 | − | 0.349609i | ||||
\(352\) | −258.352 | − | 119.474i | −0.733955 | − | 0.339415i | ||||
\(353\) | −353.831 | − | 421.680i | −1.00235 | − | 1.19456i | −0.980845 | − | 0.194791i | \(-0.937597\pi\) |
−0.0215099 | − | 0.999769i | \(-0.506847\pi\) | |||||||
\(354\) | −449.194 | − | 366.241i | −1.26891 | − | 1.03458i | ||||
\(355\) | −830.461 | − | 146.433i | −2.33933 | − | 0.412486i | ||||
\(356\) | −355.432 | − | 342.365i | −0.998404 | − | 0.961699i | ||||
\(357\) | −19.9705 | + | 22.0029i | −0.0559397 | + | 0.0616327i | ||||
\(358\) | 522.760 | − | 222.291i | 1.46022 | − | 0.620923i | ||||
\(359\) | −40.5034 | + | 23.3847i | −0.112823 | + | 0.0651383i | −0.555350 | − | 0.831617i | \(-0.687416\pi\) |
0.442527 | + | 0.896755i | \(0.354082\pi\) | |||||||
\(360\) | −366.171 | + | 361.770i | −1.01714 | + | 1.00492i | ||||
\(361\) | −175.671 | + | 304.271i | −0.486624 | + | 0.842857i | ||||
\(362\) | 510.080 | + | 62.3011i | 1.40906 | + | 0.172102i | ||||
\(363\) | −58.5415 | − | 111.165i | −0.161271 | − | 0.306239i | ||||
\(364\) | −34.1804 | + | 137.836i | −0.0939023 | + | 0.378670i | ||||
\(365\) | 701.056 | + | 588.256i | 1.92070 | + | 1.61166i | ||||
\(366\) | −39.4273 | − | 45.6632i | −0.107725 | − | 0.124763i | ||||
\(367\) | 200.395 | + | 72.9380i | 0.546037 | + | 0.198741i | 0.600285 | − | 0.799786i | \(-0.295054\pi\) |
−0.0542481 | + | 0.998527i | \(0.517276\pi\) | |||||||
\(368\) | 593.349 | − | 241.484i | 1.61236 | − | 0.656207i | ||||
\(369\) | −321.216 | + | 31.1806i | −0.870505 | + | 0.0845002i | ||||
\(370\) | 172.859 | + | 185.132i | 0.467186 | + | 0.500358i | ||||
\(371\) | 15.0414 | + | 85.3042i | 0.0405429 | + | 0.229930i | ||||
\(372\) | 43.0440 | + | 12.4688i | 0.115710 | + | 0.0335183i | ||||
\(373\) | −166.241 | − | 456.744i | −0.445686 | − | 1.22451i | −0.935699 | − | 0.352798i | \(-0.885230\pi\) |
0.490013 | − | 0.871715i | \(-0.336992\pi\) | |||||||
\(374\) | −4.16207 | − | 78.4633i | −0.0111285 | − | 0.209795i | ||||
\(375\) | −18.8333 | + | 14.5939i | −0.0502220 | + | 0.0389172i | ||||
\(376\) | 95.6814 | − | 497.297i | 0.254472 | − | 1.32260i | ||||
\(377\) | − | 533.926i | − | 1.41625i | ||||||
\(378\) | −120.853 | − | 7.70313i | −0.319717 | − | 0.0203787i | ||||
\(379\) | 151.362i | 0.399372i | 0.979860 | + | 0.199686i | \(0.0639923\pi\) | ||||
−0.979860 | + | 0.199686i | \(0.936008\pi\) | |||||||
\(380\) | 81.2323 | + | 36.0433i | 0.213769 | + | 0.0948509i | ||||
\(381\) | 15.3894 | + | 112.752i | 0.0403920 | + | 0.295938i | ||||
\(382\) | −28.8554 | − | 543.981i | −0.0755377 | − | 1.42403i | ||||
\(383\) | −42.2909 | − | 116.193i | −0.110420 | − | 0.303377i | 0.872159 | − | 0.489223i | \(-0.162720\pi\) |
−0.982579 | + | 0.185846i | \(0.940497\pi\) | |||||||
\(384\) | −73.0932 | + | 376.979i | −0.190347 | + | 0.981717i | ||||
\(385\) | −24.7638 | − | 140.443i | −0.0643216 | − | 0.364786i | ||||
\(386\) | −406.624 | + | 379.666i | −1.05343 | + | 0.983592i | ||||
\(387\) | −314.908 | + | 150.503i | −0.813716 | + | 0.388896i | ||||
\(388\) | −16.8238 | + | 245.065i | −0.0433603 | + | 0.631612i | ||||
\(389\) | 71.0914 | + | 25.8752i | 0.182754 | + | 0.0665171i | 0.431776 | − | 0.901981i | \(-0.357887\pi\) |
−0.249022 | + | 0.968498i | \(0.580109\pi\) | |||||||
\(390\) | −667.038 | + | 127.348i | −1.71035 | + | 0.326533i | ||||
\(391\) | 135.465 | + | 113.669i | 0.346458 | + | 0.290712i | ||||
\(392\) | 5.46886 | − | 351.725i | 0.0139512 | − | 0.897257i | ||||
\(393\) | −271.242 | + | 430.262i | −0.690183 | + | 1.09481i | ||||
\(394\) | −77.4602 | + | 634.193i | −0.196600 | + | 1.60963i | ||||
\(395\) | −195.743 | + | 339.038i | −0.495553 | + | 0.858323i | ||||
\(396\) | 239.396 | − | 212.674i | 0.604536 | − | 0.537056i | ||||
\(397\) | −305.610 | + | 176.444i | −0.769798 | + | 0.444443i | −0.832802 | − | 0.553570i | \(-0.813265\pi\) |
0.0630047 | + | 0.998013i | \(0.479932\pi\) | |||||||
\(398\) | 417.931 | − | 177.714i | 1.05008 | − | 0.446519i | ||||
\(399\) | 6.38166 | + | 19.9098i | 0.0159941 | + | 0.0498992i | ||||
\(400\) | −128.089 | + | 397.654i | −0.320223 | + | 0.994134i | ||||
\(401\) | −553.188 | − | 97.5420i | −1.37952 | − | 0.243247i | −0.565820 | − | 0.824529i | \(-0.691440\pi\) |
−0.813702 | + | 0.581282i | \(0.802551\pi\) | |||||||
\(402\) | 356.978 | + | 57.7630i | 0.888006 | + | 0.143689i | ||||
\(403\) | 38.0026 | + | 45.2897i | 0.0942992 | + | 0.112381i | ||||
\(404\) | 512.665 | − | 250.850i | 1.26897 | − | 0.620917i | ||||
\(405\) | −208.362 | − | 540.300i | −0.514474 | − | 1.33407i | ||||
\(406\) | −34.1209 | − | 147.367i | −0.0840416 | − | 0.362972i | ||||
\(407\) | −101.284 | − | 120.705i | −0.248854 | − | 0.296573i | ||||
\(408\) | −101.434 | + | 30.7819i | −0.248612 | + | 0.0754458i | ||||
\(409\) | −54.8866 | + | 311.277i | −0.134197 | + | 0.761069i | 0.841219 | + | 0.540695i | \(0.181839\pi\) |
−0.975416 | + | 0.220374i | \(0.929272\pi\) | |||||||
\(410\) | −429.824 | + | 279.519i | −1.04835 | + | 0.681754i | ||||
\(411\) | −3.39511 | − | 10.5922i | −0.00826061 | − | 0.0257718i | ||||
\(412\) | −415.621 | − | 570.528i | −1.00879 | − | 1.38478i | ||||
\(413\) | −108.311 | − | 187.601i | −0.262255 | − | 0.454239i | ||||
\(414\) | −17.8499 | + | 720.462i | −0.0431158 | + | 1.74025i | ||||
\(415\) | −90.7705 | + | 157.219i | −0.218724 | + | 0.378841i | ||||
\(416\) | −357.082 | + | 359.358i | −0.858370 | + | 0.863840i | ||||
\(417\) | 6.38730 | + | 4.02663i | 0.0153173 | + | 0.00965618i | ||||
\(418\) | −49.2758 | − | 25.0678i | −0.117885 | − | 0.0599709i | ||||
\(419\) | 17.9096 | + | 15.0279i | 0.0427437 | + | 0.0358662i | 0.663909 | − | 0.747813i | \(-0.268896\pi\) |
−0.621166 | + | 0.783679i | \(0.713341\pi\) | |||||||
\(420\) | −175.968 | + | 77.7763i | −0.418972 | + | 0.185182i | ||||
\(421\) | −172.450 | + | 473.802i | −0.409620 | + | 1.12542i | 0.547771 | + | 0.836628i | \(0.315476\pi\) |
−0.957391 | + | 0.288794i | \(0.906746\pi\) | |||||||
\(422\) | −84.4208 | + | 276.757i | −0.200049 | + | 0.655822i | ||||
\(423\) | 469.771 | + | 322.329i | 1.11057 | + | 0.762008i | ||||
\(424\) | −110.187 | + | 288.691i | −0.259875 | + | 0.680874i | ||||
\(425\) | −113.573 | + | 20.0259i | −0.267230 | + | 0.0471199i | ||||
\(426\) | −9.98723 | − | 707.651i | −0.0234442 | − | 1.66115i | ||||
\(427\) | −7.71214 | − | 21.1889i | −0.0180612 | − | 0.0496228i | ||||
\(428\) | −1.22438 | − | 4.24954i | −0.00286070 | − | 0.00992883i | ||||
\(429\) | 418.577 | − | 57.1309i | 0.975705 | − | 0.133172i | ||||
\(430\) | −333.424 | + | 443.054i | −0.775405 | + | 1.03036i | ||||
\(431\) | 114.847i | 0.266465i | 0.991085 | + | 0.133233i | \(0.0425358\pi\) | ||||
−0.991085 | + | 0.133233i | \(0.957464\pi\) | |||||||
\(432\) | −355.861 | − | 244.923i | −0.823752 | − | 0.566951i | ||||
\(433\) | −459.280 | −1.06069 | −0.530346 | − | 0.847781i | \(-0.677938\pi\) | ||||
−0.530346 | + | 0.847781i | \(0.677938\pi\) | |||||||
\(434\) | 13.3832 | + | 10.0716i | 0.0308369 | + | 0.0232065i | ||||
\(435\) | 571.766 | − | 443.062i | 1.31440 | − | 1.01853i | ||||
\(436\) | 136.183 | − | 39.2371i | 0.312345 | − | 0.0899932i | ||||
\(437\) | 116.921 | − | 42.5559i | 0.267555 | − | 0.0973820i | ||||
\(438\) | −374.603 | + | 670.509i | −0.855259 | + | 1.53084i | ||||
\(439\) | 73.5571 | + | 417.163i | 0.167556 | + | 0.950258i | 0.946390 | + | 0.323027i | \(0.104701\pi\) |
−0.778834 | + | 0.627231i | \(0.784188\pi\) | |||||||
\(440\) | 181.409 | − | 475.293i | 0.412294 | − | 1.08021i | ||||
\(441\) | 360.233 | + | 163.831i | 0.816856 | + | 0.371499i | ||||
\(442\) | −133.761 | − | 40.8018i | −0.302626 | − | 0.0923118i | ||||
\(443\) | 580.544 | + | 211.301i | 1.31048 | + | 0.476977i | 0.900397 | − | 0.435070i | \(-0.143276\pi\) |
0.410086 | + | 0.912047i | \(0.365499\pi\) | |||||||
\(444\) | −125.412 | + | 171.636i | −0.282459 | + | 0.386567i | ||||
\(445\) | 566.962 | − | 675.679i | 1.27407 | − | 1.51838i | ||||
\(446\) | 112.691 | − | 221.516i | 0.252670 | − | 0.496672i | ||||
\(447\) | 296.625 | + | 563.263i | 0.663591 | + | 1.26010i | ||||
\(448\) | −75.5917 | + | 122.004i | −0.168731 | + | 0.272331i | ||||
\(449\) | 23.4958 | + | 13.5653i | 0.0523292 | + | 0.0302123i | 0.525936 | − | 0.850524i | \(-0.323715\pi\) |
−0.473607 | + | 0.880736i | \(0.657048\pi\) | |||||||
\(450\) | −352.445 | − | 310.932i | −0.783211 | − | 0.690961i | ||||
\(451\) | 276.228 | − | 159.480i | 0.612479 | − | 0.353615i | ||||
\(452\) | −657.212 | + | 478.769i | −1.45401 | + | 1.05922i | ||||
\(453\) | 293.368 | + | 266.270i | 0.647611 | + | 0.587791i | ||||
\(454\) | 428.060 | + | 658.239i | 0.942863 | + | 1.44986i | ||||
\(455\) | −249.959 | − | 44.0746i | −0.549361 | − | 0.0968673i | ||||
\(456\) | −16.9283 | + | 72.6378i | −0.0371234 | + | 0.159294i | ||||
\(457\) | 590.982 | − | 495.893i | 1.29318 | − | 1.08510i | 0.301895 | − | 0.953341i | \(-0.402381\pi\) |
0.991281 | − | 0.131763i | \(-0.0420637\pi\) | |||||||
\(458\) | −133.209 | + | 30.8429i | −0.290850 | + | 0.0673427i | ||||
\(459\) | 13.8790 | − | 118.441i | 0.0302375 | − | 0.258042i | ||||
\(460\) | 503.223 | + | 1028.44i | 1.09396 | + | 2.23574i | ||||
\(461\) | −251.687 | + | 211.191i | −0.545960 | + | 0.458115i | −0.873570 | − | 0.486698i | \(-0.838201\pi\) |
0.327610 | + | 0.944813i | \(0.393757\pi\) | |||||||
\(462\) | 111.879 | − | 42.5179i | 0.242162 | − | 0.0920302i | ||||
\(463\) | −23.3329 | + | 132.327i | −0.0503949 | + | 0.285804i | −0.999582 | − | 0.0289084i | \(-0.990797\pi\) |
0.949187 | + | 0.314712i | \(0.101908\pi\) | |||||||
\(464\) | 165.446 | − | 513.627i | 0.356564 | − | 1.10695i | ||||
\(465\) | −16.9641 | + | 78.2781i | −0.0364820 | + | 0.168340i | ||||
\(466\) | 5.16598 | + | 12.1488i | 0.0110858 | + | 0.0260704i | ||||
\(467\) | 130.635 | + | 226.266i | 0.279732 | + | 0.484510i | 0.971318 | − | 0.237784i | \(-0.0764210\pi\) |
−0.691586 | + | 0.722294i | \(0.743088\pi\) | |||||||
\(468\) | −209.963 | − | 529.842i | −0.448638 | − | 1.13214i | ||||
\(469\) | 117.052 | + | 67.5799i | 0.249578 | + | 0.144094i | ||||
\(470\) | 898.442 | + | 109.735i | 1.91158 | + | 0.233480i | ||||
\(471\) | 1.49794 | − | 38.5050i | 0.00318034 | − | 0.0817516i | ||||
\(472\) | 12.0141 | − | 772.674i | 0.0254535 | − | 1.63702i | ||||
\(473\) | 221.731 | − | 264.249i | 0.468776 | − | 0.558666i | ||||
\(474\) | −310.298 | − | 108.005i | −0.654638 | − | 0.227859i | ||||
\(475\) | −27.7530 | + | 76.2507i | −0.0584273 | + | 0.160528i | ||||
\(476\) | −39.5262 | − | 2.71348i | −0.0830382 | − | 0.00570058i | ||||
\(477\) | −248.135 | − | 243.465i | −0.520200 | − | 0.510408i | ||||
\(478\) | −43.6259 | − | 46.7235i | −0.0912676 | − | 0.0977479i | ||||
\(479\) | 138.271 | − | 24.3809i | 0.288666 | − | 0.0508996i | −0.0274400 | − | 0.999623i | \(-0.508736\pi\) |
0.316106 | + | 0.948724i | \(0.397624\pi\) | |||||||
\(480\) | −681.139 | − | 84.1865i | −1.41904 | − | 0.175388i | ||||
\(481\) | −263.529 | + | 95.9166i | −0.547877 | + | 0.199411i | ||||
\(482\) | 823.035 | − | 43.6577i | 1.70754 | − | 0.0905762i | ||||
\(483\) | −101.897 | + | 249.346i | −0.210968 | + | 0.516244i | ||||
\(484\) | 67.9404 | − | 153.120i | 0.140373 | − | 0.316364i | ||||
\(485\) | −439.036 | −0.905228 | ||||||||
\(486\) | 412.612 | − | 256.801i | 0.848997 | − | 0.528398i | ||||
\(487\) | 31.9539 | 0.0656138 | 0.0328069 | − | 0.999462i | \(-0.489555\pi\) | ||||
0.0328069 | + | 0.999462i | \(0.489555\pi\) | |||||||
\(488\) | 15.1980 | − | 78.9905i | 0.0311435 | − | 0.161866i | ||||
\(489\) | 222.627 | − | 544.774i | 0.455269 | − | 1.11406i | ||||
\(490\) | 627.830 | − | 33.3031i | 1.28129 | − | 0.0679656i | ||||
\(491\) | −84.4368 | + | 30.7325i | −0.171969 | + | 0.0625916i | −0.426570 | − | 0.904455i | \(-0.640278\pi\) |
0.254601 | + | 0.967046i | \(0.418056\pi\) | |||||||
\(492\) | −298.074 | − | 310.341i | −0.605841 | − | 0.630774i | ||||
\(493\) | 146.695 | − | 25.8664i | 0.297557 | − | 0.0524673i | ||||
\(494\) | −71.9205 | + | 67.1525i | −0.145588 | + | 0.135936i | ||||
\(495\) | 408.524 | + | 400.834i | 0.825300 | + | 0.809766i | ||||
\(496\) | 22.5240 | + | 55.3436i | 0.0454113 | + | 0.111580i | ||||
\(497\) | 90.4706 | − | 248.566i | 0.182033 | − | 0.500133i | ||||
\(498\) | −143.892 | − | 50.0844i | −0.288940 | − | 0.100571i | ||||
\(499\) | 126.068 | − | 150.242i | 0.252642 | − | 0.301087i | −0.624785 | − | 0.780796i | \(-0.714814\pi\) |
0.877427 | + | 0.479710i | \(0.159258\pi\) | |||||||
\(500\) | −30.8340 | − | 7.64618i | −0.0616680 | − | 0.0152924i | ||||
\(501\) | −15.4748 | + | 397.784i | −0.0308878 | + | 0.793980i | ||||
\(502\) | −21.9932 | + | 180.066i | −0.0438111 | + | 0.358696i | ||||
\(503\) | −718.653 | − | 414.914i | −1.42873 | − | 0.824880i | −0.431712 | − | 0.902011i | \(-0.642090\pi\) |
−0.997021 | + | 0.0771317i | \(0.975424\pi\) | |||||||
\(504\) | −91.8108 | − | 132.822i | −0.182164 | − | 0.263535i | ||||
\(505\) | 510.047 | + | 883.427i | 1.00999 | + | 1.74936i | ||||
\(506\) | −278.725 | − | 655.476i | −0.550839 | − | 1.29541i | ||||
\(507\) | 51.8676 | − | 239.335i | 0.102303 | − | 0.472060i | ||||
\(508\) | −105.262 | + | 109.279i | −0.207209 | + | 0.215117i | ||||
\(509\) | 126.609 | − | 718.035i | 0.248741 | − | 1.41068i | −0.562902 | − | 0.826524i | \(-0.690315\pi\) |
0.811643 | − | 0.584154i | \(-0.198574\pi\) | |||||||
\(510\) | −67.3037 | − | 177.098i | −0.131968 | − | 0.347252i | ||||
\(511\) | −219.908 | + | 184.525i | −0.430348 | + | 0.361105i | ||||
\(512\) | −454.859 | + | 235.048i | −0.888396 | + | 0.459077i | ||||
\(513\) | −67.2893 | − | 50.1257i | −0.131168 | − | 0.0977110i | ||||
\(514\) | 534.051 | − | 123.653i | 1.03901 | − | 0.240570i | ||||
\(515\) | 966.432 | − | 810.933i | 1.87657 | − | 1.57463i | ||||
\(516\) | −417.715 | − | 205.134i | −0.809525 | − | 0.397547i | ||||
\(517\) | −554.519 | − | 97.7766i | −1.07257 | − | 0.189123i | ||||
\(518\) | −66.6059 | + | 43.3145i | −0.128583 | + | 0.0836188i | ||||
\(519\) | −104.237 | − | 94.6088i | −0.200842 | − | 0.182291i | ||||
\(520\) | −684.481 | − | 592.724i | −1.31631 | − | 1.13985i | ||||
\(521\) | 207.706 | − | 119.919i | 0.398667 | − | 0.230171i | −0.287241 | − | 0.957858i | \(-0.592738\pi\) |
0.685909 | + | 0.727687i | \(0.259405\pi\) | |||||||
\(522\) | 455.233 | + | 401.614i | 0.872094 | + | 0.769375i | ||||
\(523\) | −15.8600 | − | 9.15677i | −0.0303250 | − | 0.0175082i | 0.484761 | − | 0.874647i | \(-0.338907\pi\) |
−0.515086 | + | 0.857139i | \(0.672240\pi\) | |||||||
\(524\) | −674.358 | + | 71.7443i | −1.28694 | + | 0.136917i | ||||
\(525\) | −81.8528 | − | 155.431i | −0.155910 | − | 0.296058i | ||||
\(526\) | −5.65307 | − | 2.87586i | −0.0107473 | − | 0.00546742i | ||||
\(527\) | −10.6022 | + | 12.6352i | −0.0201181 | + | 0.0239758i | ||||
\(528\) | 420.367 | + | 74.7442i | 0.796149 | + | 0.141561i | ||||
\(529\) | 1009.27 | + | 367.343i | 1.90787 | + | 0.694410i | ||||
\(530\) | −528.252 | − | 161.136i | −0.996703 | − | 0.304030i | ||||
\(531\) | 791.365 | + | 359.906i | 1.49033 | + | 0.677790i | ||||
\(532\) | −15.5591 | + | 23.1306i | −0.0292464 | + | 0.0434786i | ||||
\(533\) | −98.5776 | − | 559.062i | −0.184949 | − | 1.04890i | ||||
\(534\) | 646.239 | + | 361.044i | 1.21019 | + | 0.676112i | ||||
\(535\) | 7.42748 | − | 2.70338i | 0.0138831 | − | 0.00505305i | ||||
\(536\) | 234.560 | + | 421.262i | 0.437612 | + | 0.785937i | ||||
\(537\) | −673.536 | + | 521.924i | −1.25426 | + | 0.971926i | ||||
\(538\) | −411.270 | − | 309.504i | −0.764442 | − | 0.575287i | ||||
\(539\) | −391.121 | −0.725642 | ||||||||
\(540\) | 393.161 | − | 664.516i | 0.728076 | − | 1.23059i | ||||
\(541\) | 544.965i | 1.00733i | 0.863900 | + | 0.503664i | \(0.168015\pi\) | ||||
−0.863900 | + | 0.503664i | \(0.831985\pi\) | |||||||
\(542\) | −85.3304 | − | 64.2161i | −0.157436 | − | 0.118480i | ||||
\(543\) | −763.725 | + | 104.240i | −1.40649 | + | 0.191970i | ||||
\(544\) | −116.032 | − | 80.6985i | −0.213294 | − | 0.148343i | ||||
\(545\) | 86.6337 | + | 238.024i | 0.158961 | + | 0.436742i | ||||
\(546\) | −3.00604 | − | 212.995i | −0.00550558 | − | 0.390101i | ||||
\(547\) | 486.590 | − | 85.7989i | 0.889561 | − | 0.156854i | 0.289852 | − | 0.957072i | \(-0.406394\pi\) |
0.599709 | + | 0.800218i | \(0.295283\pi\) | |||||||
\(548\) | 8.27759 | − | 12.3057i | 0.0151051 | − | 0.0224557i | ||||
\(549\) | 74.6183 | + | 51.1987i | 0.135917 | + | 0.0932582i | ||||
\(550\) | 444.302 | + | 135.528i | 0.807822 | + | 0.246415i | ||||
\(551\) | 35.8470 | − | 98.4887i | 0.0650580 | − | 0.178745i | ||||
\(552\) | −768.613 | + | 576.701i | −1.39242 | + | 1.04475i | ||||
\(553\) | −94.0718 | − | 78.9356i | −0.170112 | − | 0.142741i | ||||
\(554\) | −444.798 | − | 226.280i | −0.802884 | − | 0.408447i | ||||
\(555\) | −321.396 | − | 202.612i | −0.579091 | − | 0.365066i | ||||
\(556\) | 1.06505 | + | 10.0109i | 0.00191557 | + | 0.0180053i | ||||
\(557\) | 220.384 | − | 381.717i | 0.395663 | − | 0.685309i | −0.597522 | − | 0.801852i | \(-0.703848\pi\) |
0.993186 | + | 0.116543i | \(0.0371814\pi\) | |||||||
\(558\) | −67.1998 | − | 1.66492i | −0.120430 | − | 0.00298373i | ||||
\(559\) | −306.973 | − | 531.693i | −0.549147 | − | 0.951150i | ||||
\(560\) | −226.799 | − | 119.853i | −0.404999 | − | 0.214023i | ||||
\(561\) | 35.9749 | + | 112.236i | 0.0641263 | + | 0.200064i | ||||
\(562\) | 697.018 | − | 453.278i | 1.24024 | − | 0.806545i | ||||
\(563\) | 107.125 | − | 607.536i | 0.190275 | − | 1.07910i | −0.728713 | − | 0.684819i | \(-0.759881\pi\) |
0.918988 | − | 0.394285i | \(-0.129008\pi\) | |||||||
\(564\) | 50.9383 | + | 757.917i | 0.0903162 | + | 1.34382i | ||||
\(565\) | −934.143 | − | 1113.27i | −1.65335 | − | 1.97039i | ||||
\(566\) | 539.929 | − | 125.014i | 0.953939 | − | 0.220872i | ||||
\(567\) | 178.256 | − | 34.9360i | 0.314385 | − | 0.0616155i | ||||
\(568\) | 732.204 | − | 595.241i | 1.28909 | − | 1.04796i | ||||
\(569\) | 517.420 | + | 616.637i | 0.909349 | + | 1.08372i | 0.996165 | + | 0.0874958i | \(0.0278864\pi\) |
−0.0868157 | + | 0.996224i | \(0.527669\pi\) | |||||||
\(570\) | −131.593 | − | 21.2932i | −0.230864 | − | 0.0373564i | ||||
\(571\) | 212.718 | + | 37.5079i | 0.372535 | + | 0.0656880i | 0.356782 | − | 0.934188i | \(-0.383874\pi\) |
0.0157539 | + | 0.999876i | \(0.494985\pi\) | |||||||
\(572\) | 405.685 | + | 390.770i | 0.709239 | + | 0.683165i | ||||
\(573\) | 249.412 | + | 778.124i | 0.435273 | + | 1.35798i | ||||
\(574\) | −62.9352 | − | 148.005i | −0.109643 | − | 0.257848i | ||||
\(575\) | −905.366 | + | 522.713i | −1.57455 | + | 0.909067i | ||||
\(576\) | −37.8000 | − | 574.758i | −0.0656251 | − | 0.997844i | ||||
\(577\) | 177.731 | − | 307.839i | 0.308026 | − | 0.533517i | −0.669904 | − | 0.742447i | \(-0.733665\pi\) |
0.977931 | + | 0.208930i | \(0.0669982\pi\) | |||||||
\(578\) | −65.3459 | + | 535.009i | −0.113055 | + | 0.925621i | ||||
\(579\) | 445.016 | − | 705.913i | 0.768594 | − | 1.21919i | ||||
\(580\) | 936.100 | + | 232.133i | 1.61397 | + | 0.400229i | ||||
\(581\) | −43.6231 | − | 36.6042i | −0.0750828 | − | 0.0630020i | ||||
\(582\) | −69.0973 | − | 361.927i | −0.118724 | − | 0.621867i | ||||
\(583\) | 322.854 | + | 117.509i | 0.553780 | + | 0.201559i | ||||
\(584\) | −1011.16 | + | 162.128i | −1.73144 | + | 0.277617i | ||||
\(585\) | 919.059 | − | 439.242i | 1.57104 | − | 0.750842i | ||||
\(586\) | 323.426 | − | 301.984i | 0.551922 | − | 0.515332i | ||||
\(587\) | −8.19482 | − | 46.4751i | −0.0139605 | − | 0.0791740i | 0.977032 | − | 0.213095i | \(-0.0683543\pi\) |
−0.990992 | + | 0.133921i | \(0.957243\pi\) | |||||||
\(588\) | 126.265 | + | 512.321i | 0.214736 | + | 0.871294i | ||||
\(589\) | 3.96933 | + | 10.9056i | 0.00673909 | + | 0.0185155i | ||||
\(590\) | 1379.23 | − | 73.1608i | 2.33767 | − | 0.124001i | ||||
\(591\) | −129.603 | − | 949.556i | −0.219295 | − | 1.60669i | ||||
\(592\) | −283.231 | + | 10.6113i | −0.478431 | + | 0.0179245i | ||||
\(593\) | 100.618i | 0.169676i | 0.996395 | + | 0.0848380i | \(0.0270373\pi\) | ||||
−0.996395 | + | 0.0848380i | \(0.972963\pi\) | |||||||
\(594\) | −266.139 | + | 399.858i | −0.448046 | + | 0.673162i | ||||
\(595\) | − | 70.8113i | − | 0.119011i | ||||||
\(596\) | −344.249 | + | 775.848i | −0.577599 | + | 1.30176i | ||||
\(597\) | −538.471 | + | 417.262i | −0.901962 | + | 0.698932i | ||||
\(598\) | −1265.93 | + | 67.1508i | −2.11693 | + | 0.112292i | ||||
\(599\) | 261.832 | + | 719.379i | 0.437116 | + | 1.20097i | 0.941360 | + | 0.337405i | \(0.109549\pi\) |
−0.504244 | + | 0.863561i | \(0.668229\pi\) | |||||||
\(600\) | 34.0925 | − | 625.733i | 0.0568209 | − | 1.04289i | ||||
\(601\) | −116.660 | − | 661.614i | −0.194111 | − | 1.10086i | −0.913680 | − | 0.406435i | \(-0.866772\pi\) |
0.719569 | − | 0.694421i | \(-0.244339\pi\) | |||||||
\(602\) | −118.705 | − | 127.133i | −0.197184 | − | 0.211184i | ||||
\(603\) | −539.895 | + | 52.4077i | −0.895347 | + | 0.0869117i | ||||
\(604\) | −36.1792 | + | 527.009i | −0.0598994 | + | 0.872532i | ||||
\(605\) | 281.345 | + | 102.401i | 0.465033 | + | 0.169258i | ||||
\(606\) | −647.995 | + | 559.503i | −1.06930 | + | 0.923273i | ||||
\(607\) | 472.640 | + | 396.592i | 0.778648 | + | 0.653364i | 0.942908 | − | 0.333054i | \(-0.108079\pi\) |
−0.164259 | + | 0.986417i | \(0.552523\pi\) | |||||||
\(608\) | −89.9945 | + | 42.3137i | −0.148017 | + | 0.0695949i | ||||
\(609\) | 105.725 | + | 200.761i | 0.173604 | + | 0.329657i | ||||
\(610\) | 142.708 | + | 17.4304i | 0.233948 | + | 0.0285744i | ||||
\(611\) | −501.078 | + | 867.893i | −0.820095 | + | 1.42045i | ||||
\(612\) | 135.402 | − | 83.3555i | 0.221244 | − | 0.136202i | ||||
\(613\) | −148.147 | + | 85.5326i | −0.241675 | + | 0.139531i | −0.615946 | − | 0.787788i | \(-0.711226\pi\) |
0.374271 | + | 0.927319i | \(0.377893\pi\) | |||||||
\(614\) | 222.576 | + | 523.431i | 0.362501 | + | 0.852493i | ||||
\(615\) | 516.881 | − | 569.484i | 0.840457 | − | 0.925991i | ||||
\(616\) | 136.944 | + | 81.9293i | 0.222311 | + | 0.133002i | ||||
\(617\) | −379.315 | − | 66.8835i | −0.614773 | − | 0.108401i | −0.142414 | − | 0.989807i | \(-0.545486\pi\) |
−0.472359 | + | 0.881406i | \(0.656598\pi\) | |||||||
\(618\) | 820.608 | + | 669.067i | 1.32784 | + | 1.08263i | ||||
\(619\) | 732.593 | + | 873.071i | 1.18351 | + | 1.41045i | 0.890886 | + | 0.454226i | \(0.150084\pi\) |
0.292625 | + | 0.956227i | \(0.405471\pi\) | |||||||
\(620\) | −95.9259 | + | 46.9372i | −0.154719 | + | 0.0757051i | ||||
\(621\) | −248.993 | − | 1051.96i | −0.400955 | − | 1.69398i | ||||
\(622\) | −603.063 | + | 139.632i | −0.969554 | + | 0.224488i | ||||
\(623\) | 177.845 | + | 211.948i | 0.285466 | + | 0.340205i | ||||
\(624\) | 380.895 | − | 657.549i | 0.610409 | − | 1.05376i | ||||
\(625\) | −103.493 | + | 586.939i | −0.165589 | + | 0.939103i | ||||
\(626\) | −46.7700 | − | 71.9194i | −0.0747124 | − | 0.114887i | ||||
\(627\) | 81.0470 | + | 17.5642i | 0.129262 | + | 0.0280131i | ||||
\(628\) | 41.5280 | − | 30.2525i | 0.0661273 | − | 0.0481728i | ||||
\(629\) | −39.1198 | − | 67.7575i | −0.0621936 | − | 0.107723i | ||||
\(630\) | 225.596 | − | 179.967i | 0.358088 | − | 0.285661i | ||||
\(631\) | 112.803 | − | 195.380i | 0.178768 | − | 0.309635i | −0.762691 | − | 0.646763i | \(-0.776122\pi\) |
0.941459 | + | 0.337128i | \(0.109456\pi\) | |||||||
\(632\) | −143.413 | − | 413.937i | −0.226919 | − | 0.654964i | ||||
\(633\) | 16.8717 | − | 433.691i | 0.0266535 | − | 0.685136i | ||||
\(634\) | −367.807 | + | 722.996i | −0.580137 | + | 1.14037i | ||||
\(635\) | −207.741 | − | 174.316i | −0.327152 | − | 0.274513i | ||||
\(636\) | 49.6967 | − | 460.834i | 0.0781394 | − | 0.724582i | ||||
\(637\) | −238.086 | + | 654.136i | −0.373761 | + | 1.02690i | ||||
\(638\) | −573.879 | − | 175.054i | −0.899497 | − | 0.274379i | ||||
\(639\) | 284.487 | + | 1022.75i | 0.445207 | + | 1.60055i | ||||
\(640\) | −474.793 | − | 782.287i | −0.741864 | − | 1.22232i | ||||
\(641\) | 740.201 | − | 130.517i | 1.15476 | − | 0.203615i | 0.436707 | − | 0.899604i | \(-0.356145\pi\) |
0.718053 | + | 0.695988i | \(0.245034\pi\) | |||||||
\(642\) | 3.39755 | + | 5.69750i | 0.00529213 | + | 0.00887461i | ||||
\(643\) | 136.139 | + | 374.040i | 0.211725 | + | 0.581711i | 0.999409 | − | 0.0343689i | \(-0.0109421\pi\) |
−0.787684 | + | 0.616080i | \(0.788720\pi\) | |||||||
\(644\) | −345.112 | + | 99.4339i | −0.535888 | + | 0.154401i | ||||
\(645\) | 314.642 | − | 769.938i | 0.487817 | − | 1.19370i | ||||
\(646\) | −21.9343 | − | 16.5068i | −0.0339540 | − | 0.0255524i | ||||
\(647\) | − | 290.596i | − | 0.449144i | −0.974457 | − | 0.224572i | \(-0.927902\pi\) | ||
0.974457 | − | 0.224572i | \(-0.0720984\pi\) | |||||||
\(648\) | 609.683 | + | 219.525i | 0.940868 | + | 0.338772i | ||||
\(649\) | −859.220 | −1.32391 | ||||||||
\(650\) | 497.124 | − | 660.579i | 0.764807 | − | 1.01628i | ||||
\(651\) | −23.2573 | − | 9.50430i | −0.0357255 | − | 0.0145995i | ||||
\(652\) | 754.004 | − | 217.244i | 1.15645 | − | 0.333197i | ||||
\(653\) | 515.718 | − | 187.706i | 0.789767 | − | 0.287452i | 0.0845277 | − | 0.996421i | \(-0.473062\pi\) |
0.705239 | + | 0.708970i | \(0.250840\pi\) | |||||||
\(654\) | −182.585 | + | 108.879i | −0.279181 | + | 0.166482i | ||||
\(655\) | −210.476 | − | 1193.67i | −0.321337 | − | 1.82239i | ||||
\(656\) | 78.4045 | − | 568.353i | 0.119519 | − | 0.866391i | ||||
\(657\) | 287.595 | − | 1115.61i | 0.437740 | − | 1.69804i | ||||
\(658\) | −82.8372 | + | 271.565i | −0.125892 | + | 0.412713i | ||||
\(659\) | −198.634 | − | 72.2969i | −0.301417 | − | 0.109707i | 0.186884 | − | 0.982382i | \(-0.440161\pi\) |
−0.488302 | + | 0.872675i | \(0.662383\pi\) | |||||||
\(660\) | −81.8193 | + | 758.705i | −0.123969 | + | 1.14955i | ||||
\(661\) | 57.8327 | − | 68.9223i | 0.0874927 | − | 0.104270i | −0.720522 | − | 0.693432i | \(-0.756098\pi\) |
0.808015 | + | 0.589162i | \(0.200542\pi\) | |||||||
\(662\) | −609.169 | − | 309.900i | −0.920195 | − | 0.468127i | ||||
\(663\) | 209.609 | + | 8.15432i | 0.316153 | + | 0.0122991i | ||||
\(664\) | −66.5038 | − | 191.952i | −0.100156 | − | 0.289084i | ||||
\(665\) | −43.1488 | − | 24.9120i | −0.0648854 | − | 0.0374616i | ||||
\(666\) | 116.444 | − | 296.836i | 0.174841 | − | 0.445700i | ||||
\(667\) | 1169.41 | − | 675.159i | 1.75324 | − | 1.01223i | ||||
\(668\) | −429.013 | + | 312.530i | −0.642235 | + | 0.467859i | ||||
\(669\) | −78.9586 | + | 364.341i | −0.118025 | + | 0.544606i | ||||
\(670\) | −722.440 | + | 469.811i | −1.07827 | + | 0.701210i | ||||
\(671\) | −88.0796 | − | 15.5308i | −0.131266 | − | 0.0231458i | ||||
\(672\) | 63.1082 | − | 205.829i | 0.0939111 | − | 0.306293i | ||||
\(673\) | −718.250 | + | 602.683i | −1.06724 | + | 0.895518i | −0.994799 | − | 0.101855i | \(-0.967522\pi\) |
−0.0724372 | + | 0.997373i | \(0.523078\pi\) | |||||||
\(674\) | −17.1443 | − | 74.0453i | −0.0254366 | − | 0.109859i | ||||
\(675\) | 629.913 | + | 316.586i | 0.933204 | + | 0.469016i | ||||
\(676\) | 293.292 | − | 143.510i | 0.433865 | − | 0.212293i | ||||
\(677\) | −694.220 | + | 582.520i | −1.02544 | + | 0.860443i | −0.990301 | − | 0.138940i | \(-0.955631\pi\) |
−0.0351349 | + | 0.999383i | \(0.511186\pi\) | |||||||
\(678\) | 770.723 | − | 945.288i | 1.13676 | − | 1.39423i | ||||
\(679\) | 23.9143 | − | 135.625i | 0.0352199 | − | 0.199742i | ||||
\(680\) | 129.690 | − | 216.775i | 0.190721 | − | 0.318787i | ||||
\(681\) | −872.117 | − | 791.560i | −1.28064 | − | 1.16235i | ||||
\(682\) | 61.1383 | − | 25.9975i | 0.0896456 | − | 0.0381195i | ||||
\(683\) | 578.591 | + | 1002.15i | 0.847132 | + | 1.46728i | 0.883757 | + | 0.467947i | \(0.155006\pi\) |
−0.0366244 | + | 0.999329i | \(0.511661\pi\) | |||||||
\(684\) | −3.15725 | − | 111.832i | −0.00461586 | − | 0.163497i | ||||
\(685\) | 22.9556 | + | 13.2534i | 0.0335118 | + | 0.0193481i | ||||
\(686\) | −50.5549 | + | 413.910i | −0.0736952 | + | 0.603368i | ||||
\(687\) | 181.474 | − | 95.5678i | 0.264154 | − | 0.139109i | ||||
\(688\) | −130.549 | − | 606.599i | −0.189751 | − | 0.881685i | ||||
\(689\) | 393.060 | − | 468.430i | 0.570478 | − | 0.679870i | ||||
\(690\) | −1122.40 | − | 1299.92i | −1.62667 | − | 1.88394i | ||||
\(691\) | −23.0137 | + | 63.2296i | −0.0333049 | + | 0.0915045i | −0.955231 | − | 0.295862i | \(-0.904393\pi\) |
0.921926 | + | 0.387367i | \(0.126615\pi\) | |||||||
\(692\) | 12.8549 | − | 187.253i | 0.0185765 | − | 0.270597i | ||||
\(693\) | −146.076 | + | 104.366i | −0.210788 | + | 0.150600i | ||||
\(694\) | −568.497 | + | 530.808i | −0.819160 | + | 0.764853i | ||||
\(695\) | −17.7201 | + | 3.12454i | −0.0254966 | + | 0.00449574i | ||||
\(696\) | −44.0354 | + | 808.224i | −0.0632692 | + | 1.16124i | ||||
\(697\) | 148.826 | − | 54.1682i | 0.213523 | − | 0.0777162i | ||||
\(698\) | −2.79783 | − | 52.7447i | −0.00400836 | − | 0.0755654i | ||||
\(699\) | −12.1294 | − | 15.6528i | −0.0173525 | − | 0.0223932i | ||||
\(700\) | 94.9945 | − | 214.093i | 0.135706 | − | 0.305847i | ||||
\(701\) | −374.830 | −0.534708 | −0.267354 | − | 0.963598i | \(-0.586149\pi\) | ||||
−0.267354 | + | 0.963598i | \(0.586149\pi\) | |||||||
\(702\) | 506.743 | + | 688.512i | 0.721855 | + | 0.980787i | ||||
\(703\) | −55.0506 | −0.0783081 | ||||||||
\(704\) | 269.175 | + | 501.622i | 0.382350 | + | 0.712531i | ||||
\(705\) | −1345.21 | + | 183.605i | −1.90809 | + | 0.260432i | ||||
\(706\) | 58.3165 | + | 1099.38i | 0.0826013 | + | 1.55720i | ||||
\(707\) | −300.686 | + | 109.441i | −0.425299 | + | 0.154796i | ||||
\(708\) | 277.380 | + | 1125.47i | 0.391779 | + | 1.58965i | ||||
\(709\) | −1173.80 | + | 206.972i | −1.65557 | + | 0.291922i | −0.921855 | − | 0.387536i | \(-0.873326\pi\) |
−0.733715 | + | 0.679457i | \(0.762215\pi\) | |||||||
\(710\) | 1151.00 | + | 1232.73i | 1.62113 | + | 1.73624i | ||||
\(711\) | 491.347 | + | 38.2872i | 0.691065 | + | 0.0538498i | ||||
\(712\) | 156.259 | + | 974.559i | 0.219466 | + | 1.36876i | ||||
\(713\) | −51.1390 | + | 140.503i | −0.0717237 | + | 0.197059i | ||||
\(714\) | 58.3745 | − | 11.1446i | 0.0817570 | − | 0.0156087i | ||||
\(715\) | −647.123 | + | 771.211i | −0.905067 | + | 1.07862i | ||||
\(716\) | −1102.72 | − | 273.451i | −1.54011 | − | 0.381915i | ||||
\(717\) | 81.1135 | + | 51.1349i | 0.113129 | + | 0.0713179i | ||||
\(718\) | 92.8486 | + | 11.3405i | 0.129316 | + | 0.0157946i | ||||
\(719\) | −245.529 | − | 141.756i | −0.341487 | − | 0.197158i | 0.319442 | − | 0.947606i | \(-0.396504\pi\) |
−0.660929 | + | 0.750448i | \(0.729838\pi\) | |||||||
\(720\) | 1020.22 | − | 137.757i | 1.41698 | − | 0.191330i | ||||
\(721\) | 197.868 | + | 342.717i | 0.274435 | + | 0.475336i | ||||
\(722\) | 646.650 | − | 274.972i | 0.895637 | − | 0.380847i | ||||
\(723\) | −1177.29 | + | 377.356i | −1.62834 | + | 0.521930i | ||||
\(724\) | −740.202 | − | 712.989i | −1.02238 | − | 0.984792i | ||||
\(725\) | −152.917 | + | 867.236i | −0.210920 | + | 1.19619i | ||||
\(726\) | −40.1369 | + | 248.048i | −0.0552850 | + | 0.341664i | ||||
\(727\) | −87.0046 | + | 73.0055i | −0.119676 | + | 0.100420i | −0.700662 | − | 0.713494i | \(-0.747112\pi\) |
0.580986 | + | 0.813914i | \(0.302667\pi\) | |||||||
\(728\) | 220.385 | − | 179.161i | 0.302727 | − | 0.246100i | ||||
\(729\) | −500.581 | + | 529.962i | −0.686668 | + | 0.726971i | ||||
\(730\) | −412.867 | − | 1783.15i | −0.565571 | − | 2.44268i | ||||
\(731\) | 131.210 | − | 110.099i | 0.179494 | − | 0.150614i | ||||
\(732\) | 8.09103 | + | 120.387i | 0.0110533 | + | 0.164464i | ||||
\(733\) | 698.083 | + | 123.091i | 0.952364 | + | 0.167927i | 0.628181 | − | 0.778067i | \(-0.283800\pi\) |
0.324183 | + | 0.945994i | \(0.394911\pi\) | |||||||
\(734\) | −232.523 | − | 357.556i | −0.316788 | − | 0.487134i | ||||
\(735\) | −898.063 | + | 287.856i | −1.22186 | + | 0.391640i | ||||
\(736\) | −1238.61 | − | 327.670i | −1.68289 | − | 0.445204i | ||||
\(737\) | 464.279 | − | 268.052i | 0.629958 | − | 0.363707i | ||||
\(738\) | 550.813 | + | 336.472i | 0.746359 | + | 0.455924i | ||||
\(739\) | −153.019 | − | 88.3457i | −0.207063 | − | 0.119548i | 0.392883 | − | 0.919588i | \(-0.371478\pi\) |
−0.599945 | + | 0.800041i | \(0.704811\pi\) | |||||||
\(740\) | −53.5914 | − | 503.731i | −0.0724208 | − | 0.680717i | ||||
\(741\) | 78.7110 | − | 124.856i | 0.106223 | − | 0.168497i | ||||
\(742\) | 78.5514 | − | 154.408i | 0.105864 | − | 0.208097i | ||||
\(743\) | 614.505 | − | 732.338i | 0.827059 | − | 0.985650i | −0.172941 | − | 0.984932i | \(-0.555327\pi\) |
1.00000 | 0.000718050i | \(-0.000228562\pi\) | ||||||||
\(744\) | −53.7907 | − | 71.6910i | −0.0722993 | − | 0.0963589i | ||||
\(745\) | −1425.55 | − | 518.859i | −1.91349 | − | 0.696455i | ||||
\(746\) | −283.628 | + | 929.816i | −0.380198 | + | 1.24640i | ||||
\(747\) | 227.848 | + | 17.7546i | 0.305018 | + | 0.0237679i | ||||
\(748\) | −87.7100 | + | 130.393i | −0.117259 | + | 0.174322i | ||||
\(749\) | 0.430540 | + | 2.44172i | 0.000574820 | + | 0.00325997i | ||||
\(750\) | 47.6471 | − | 0.672454i | 0.0635295 | − | 0.000896605i | ||||
\(751\) | 224.531 | − | 81.7225i | 0.298976 | − | 0.108818i | −0.188177 | − | 0.982135i | \(-0.560258\pi\) |
0.487152 | + | 0.873317i | \(0.338036\pi\) | |||||||
\(752\) | −750.959 | + | 679.630i | −0.998615 | + | 0.903763i | ||||
\(753\) | −36.7980 | − | 269.606i | −0.0488686 | − | 0.358042i | ||||
\(754\) | −642.107 | + | 853.232i | −0.851601 | + | 1.13161i | ||||
\(755\) | −944.139 | −1.25051 | ||||||||
\(756\) | 183.864 | + | 157.650i | 0.243206 | + | 0.208531i | ||||
\(757\) | 1152.06i | 1.52187i | 0.648828 | + | 0.760935i | \(0.275259\pi\) | ||||
−0.648828 | + | 0.760935i | \(0.724741\pi\) | |||||||
\(758\) | 182.030 | − | 241.882i | 0.240146 | − | 0.319106i | ||||
\(759\) | 654.428 | + | 844.530i | 0.862223 | + | 1.11269i | ||||
\(760\) | −86.4658 | − | 155.290i | −0.113771 | − | 0.204328i | ||||
\(761\) | 317.885 | + | 873.382i | 0.417720 | + | 1.14768i | 0.952992 | + | 0.302996i | \(0.0979870\pi\) |
−0.535272 | + | 0.844680i | \(0.679791\pi\) | |||||||
\(762\) | 111.005 | − | 198.690i | 0.145676 | − | 0.260748i | ||||
\(763\) | −78.2483 | + | 13.7973i | −0.102553 | + | 0.0180829i | ||||
\(764\) | −608.088 | + | 904.003i | −0.795927 | + | 1.18325i | ||||
\(765\) | 165.206 | + | 231.231i | 0.215955 | + | 0.302263i | ||||
\(766\) | −72.1535 | + | 236.541i | −0.0941952 | + | 0.308800i | ||||
\(767\) | −523.030 | + | 1437.01i | −0.681917 | + | 1.87355i | ||||
\(768\) | 570.167 | − | 514.523i | 0.742404 | − | 0.669952i | ||||
\(769\) | −3.68137 | − | 3.08904i | −0.00478722 | − | 0.00401695i | 0.640391 | − | 0.768049i | \(-0.278772\pi\) |
−0.645178 | + | 0.764032i | \(0.723217\pi\) | |||||||
\(770\) | −129.325 | + | 254.214i | −0.167954 | + | 0.330147i | ||||
\(771\) | −727.550 | + | 383.142i | −0.943645 | + | 0.496942i | ||||
\(772\) | 1106.39 | − | 117.708i | 1.43315 | − | 0.152471i | ||||
\(773\) | −153.427 | + | 265.743i | −0.198482 | + | 0.343782i | −0.948037 | − | 0.318161i | \(-0.896935\pi\) |
0.749554 | + | 0.661943i | \(0.230268\pi\) | |||||||
\(774\) | 684.231 | + | 138.204i | 0.884020 | + | 0.178559i | ||||
\(775\) | −48.7551 | − | 84.4464i | −0.0629099 | − | 0.108963i | ||||
\(776\) | 321.604 | − | 371.391i | 0.414439 | − | 0.478596i | ||||
\(777\) | 80.0964 | − | 88.2478i | 0.103084 | − | 0.113575i | ||||
\(778\) | −82.4887 | − | 126.845i | −0.106027 | − | 0.163040i | ||||
\(779\) | 19.3508 | − | 109.744i | 0.0248405 | − | 0.140878i | ||||
\(780\) | 1219.10 | + | 598.684i | 1.56295 | + | 0.767543i | ||||
\(781\) | −674.411 | − | 803.731i | −0.863522 | − | 1.02911i | ||||
\(782\) | −79.7782 | − | 344.559i | −0.102018 | − | 0.440612i | ||||
\(783\) | −813.623 | − | 408.916i | −1.03911 | − | 0.522242i | ||||
\(784\) | −431.729 | + | 555.492i | −0.550675 | + | 0.708535i | ||||
\(785\) | 59.0267 | + | 70.3453i | 0.0751933 | + | 0.0896119i | ||||
\(786\) | 950.894 | − | 361.373i | 1.20979 | − | 0.459763i | ||||
\(787\) | −80.5429 | − | 14.2019i | −0.102342 | − | 0.0180456i | 0.122243 | − | 0.992500i | \(-0.460991\pi\) |
−0.224584 | + | 0.974455i | \(0.572102\pi\) | |||||||
\(788\) | 886.475 | − | 920.309i | 1.12497 | − | 1.16790i | ||||
\(789\) | 9.29797 | + | 2.01502i | 0.0117845 | + | 0.00255389i | ||||
\(790\) | 720.537 | − | 306.390i | 0.912072 | − | 0.387836i | ||||
\(791\) | 394.789 | − | 227.931i | 0.499101 | − | 0.288156i | ||||
\(792\) | −638.329 | + | 51.9592i | −0.805970 | + | 0.0656050i | ||||
\(793\) | −79.5911 | + | 137.856i | −0.100367 | + | 0.173841i | ||||
\(794\) | 700.569 | + | 85.5673i | 0.882329 | + | 0.107767i | ||||
\(795\) | 827.797 | + | 32.2034i | 1.04125 | + | 0.0405074i | ||||
\(796\) | −881.590 | − | 218.616i | −1.10753 | − | 0.274643i | ||||
\(797\) | 62.7889 | + | 52.6862i | 0.0787816 | + | 0.0661056i | 0.681328 | − | 0.731978i | \(-0.261403\pi\) |
−0.602546 | + | 0.798084i | \(0.705847\pi\) | |||||||
\(798\) | 13.7457 | − | 39.4912i | 0.0172251 | − | 0.0494877i | ||||
\(799\) | −262.728 | − | 95.6250i | −0.328820 | − | 0.119681i | ||||
\(800\) | 682.916 | − | 481.423i | 0.853644 | − | 0.601778i | ||||
\(801\) | −1075.23 | − | 277.185i | −1.34236 | − | 0.346049i | ||||
\(802\) | 766.709 | + | 821.148i | 0.955996 | + | 1.02388i | ||||
\(803\) | 197.723 | + | 1121.34i | 0.246231 | + | 1.39644i | ||||
\(804\) | −500.997 | − | 521.615i | −0.623131 | − | 0.648775i | ||||
\(805\) | −219.546 | − | 603.197i | −0.272728 | − | 0.749313i | ||||
\(806\) | −6.26337 | − | 118.077i | −0.00777093 | − | 0.146497i | ||||
\(807\) | 714.703 | + | 292.070i | 0.885629 | + | 0.361920i | ||||
\(808\) | −1120.93 | − | 215.671i | −1.38729 | − | 0.266920i | ||||
\(809\) | 187.114i | 0.231291i | 0.993291 | + | 0.115646i | \(0.0368937\pi\) | ||||
−0.993291 | + | 0.115646i | \(0.963106\pi\) | |||||||
\(810\) | −316.803 | + | 1114.00i | −0.391115 | + | 1.37531i | ||||
\(811\) | − | 684.038i | − | 0.843450i | −0.906724 | − | 0.421725i | \(-0.861425\pi\) | ||
0.906724 | − | 0.421725i | \(-0.138575\pi\) | |||||||
\(812\) | −122.699 | + | 276.531i | −0.151107 | + | 0.340556i | ||||
\(813\) | 148.287 | + | 60.5988i | 0.182395 | + | 0.0745372i | ||||
\(814\) | 16.6930 | + | 314.696i | 0.0205074 | + | 0.386604i | ||||
\(815\) | 479.666 | + | 1317.87i | 0.588547 | + | 1.61702i | ||||
\(816\) | 199.113 | + | 72.7952i | 0.244012 | + | 0.0892098i | ||||
\(817\) | −20.9276 | − | 118.687i | −0.0256152 | − | 0.145271i | ||||
\(818\) | 462.057 | − | 431.425i | 0.564862 | − | 0.527414i | ||||
\(819\) | 85.6275 | + | 307.837i | 0.104551 | + | 0.375870i | ||||
\(820\) | 1023.03 | + | 70.2310i | 1.24759 | + | 0.0856475i | ||||
\(821\) | −992.842 | − | 361.365i | −1.20931 | − | 0.440152i | −0.342844 | − | 0.939392i | \(-0.611390\pi\) |
−0.866464 | + | 0.499240i | \(0.833612\pi\) | |||||||
\(822\) | −7.31283 | + | 21.0097i | −0.00889639 | + | 0.0255593i | ||||
\(823\) | −1109.39 | − | 930.891i | −1.34799 | − | 1.13109i | −0.979496 | − | 0.201462i | \(-0.935431\pi\) |
−0.368489 | − | 0.929632i | \(-0.620125\pi\) | |||||||
\(824\) | −21.9479 | + | 1411.56i | −0.0266358 | + | 1.71305i | ||||
\(825\) | −696.242 | − | 27.0856i | −0.843930 | − | 0.0328310i | ||||
\(826\) | −52.5261 | + | 430.049i | −0.0635909 | + | 0.520640i | ||||
\(827\) | 318.240 | − | 551.209i | 0.384813 | − | 0.666516i | −0.606930 | − | 0.794755i | \(-0.707599\pi\) |
0.991743 | + | 0.128239i | \(0.0409326\pi\) | |||||||
\(828\) | 894.964 | − | 1129.86i | 1.08087 | − | 1.36456i | ||||
\(829\) | 848.900 | − | 490.113i | 1.02401 | − | 0.591210i | 0.108744 | − | 0.994070i | \(-0.465317\pi\) |
0.915262 | + | 0.402860i | \(0.131984\pi\) | |||||||
\(830\) | 334.129 | − | 142.080i | 0.402565 | − | 0.171180i | ||||
\(831\) | 731.587 | + | 158.547i | 0.880370 | + | 0.190790i | ||||
\(832\) | 1002.80 | − | 144.834i | 1.20529 | − | 0.174079i | ||||
\(833\) | −191.257 | − | 33.7238i | −0.229600 | − | 0.0404848i | ||||
\(834\) | −5.36464 | − | 14.1162i | −0.00643242 | − | 0.0169258i | ||||
\(835\) | −609.788 | − | 726.717i | −0.730285 | − | 0.870319i | ||||
\(836\) | 48.5975 | + | 99.3191i | 0.0581309 | + | 0.118803i | ||||
\(837\) | 98.1196 | − | 23.2244i | 0.117228 | − | 0.0277471i | ||||
\(838\) | −10.5474 | − | 45.5535i | −0.0125863 | − | 0.0543598i | ||||
\(839\) | −251.366 | − | 299.566i | −0.299602 | − | 0.357052i | 0.595151 | − | 0.803614i | \(-0.297092\pi\) |
−0.894752 | + | 0.446563i | \(0.852648\pi\) | |||||||
\(840\) | 374.738 | + | 87.3328i | 0.446117 | + | 0.103968i | ||||
\(841\) | 51.4762 | − | 291.936i | 0.0612084 | − | 0.347130i | ||||
\(842\) | 845.383 | − | 549.762i | 1.00402 | − | 0.652924i | ||||
\(843\) | −838.193 | + | 923.496i | −0.994298 | + | 1.09549i | ||||
\(844\) | 467.739 | − | 340.741i | 0.554194 | − | 0.403722i | ||||
\(845\) | 291.794 | + | 505.403i | 0.345319 | + | 0.598110i | ||||
\(846\) | −363.072 | − | 1080.05i | −0.429163 | − | 1.27665i | ||||
\(847\) | −46.9582 | + | 81.3340i | −0.0554406 | + | 0.0960259i | ||||
\(848\) | 523.267 | − | 328.825i | 0.617060 | − | 0.387766i | ||||
\(849\) | −735.558 | + | 387.359i | −0.866381 | + | 0.456253i | ||||
\(850\) | 205.577 | + | 104.582i | 0.241855 | + | 0.123038i | ||||
\(851\) | −543.315 | − | 455.895i | −0.638443 | − | 0.535717i | ||||
\(852\) | −835.072 | + | 1142.86i | −0.980131 | + | 1.34139i | ||||
\(853\) | 161.452 | − | 443.586i | 0.189275 | − | 0.520030i | −0.808365 | − | 0.588681i | \(-0.799647\pi\) |
0.997641 | + | 0.0686512i | \(0.0218696\pi\) | |||||||
\(854\) | −13.1578 | + | 43.1354i | −0.0154073 | + | 0.0505098i | ||||
\(855\) | 199.021 | − | 19.3190i | 0.232773 | − | 0.0225954i | ||||
\(856\) | −3.15396 | + | 8.26337i | −0.00368453 | + | 0.00965348i | ||||
\(857\) | −149.108 | + | 26.2917i | −0.173988 | + | 0.0306788i | −0.259963 | − | 0.965618i | \(-0.583711\pi\) |
0.0859753 | + | 0.996297i | \(0.472599\pi\) | |||||||
\(858\) | −737.608 | − | 412.090i | −0.859683 | − | 0.480292i | ||||
\(859\) | −160.044 | − | 439.716i | −0.186314 | − | 0.511893i | 0.811008 | − | 0.585035i | \(-0.198919\pi\) |
−0.997322 | + | 0.0731425i | \(0.976697\pi\) | |||||||
\(860\) | 1065.65 | − | 307.035i | 1.23912 | − | 0.357018i | ||||
\(861\) | 147.768 | + | 190.692i | 0.171624 | + | 0.221478i | ||||
\(862\) | 138.116 | − | 183.529i | 0.160228 | − | 0.212910i | ||||
\(863\) | 817.763i | 0.947582i | 0.880637 | + | 0.473791i | \(0.157115\pi\) | ||||
−0.880637 | + | 0.473791i | \(0.842885\pi\) | |||||||
\(864\) | 274.130 | + | 819.359i | 0.317280 | + | 0.948332i | ||||
\(865\) | 335.464 | 0.387820 | ||||||||
\(866\) | 733.945 | + | 552.337i | 0.847512 | + | 0.637802i | ||||
\(867\) | −109.334 | − | 801.050i | −0.126106 | − | 0.923934i | ||||
\(868\) | −9.27452 | − | 32.1897i | −0.0106849 | − | 0.0370849i | ||||
\(869\) | −457.712 | + | 166.594i | −0.526711 | + | 0.191707i | ||||
\(870\) | −1446.53 | + | 20.4153i | −1.66268 | + | 0.0234658i | ||||
\(871\) | −165.688 | − | 939.661i | −0.190227 | − | 1.07883i | ||||
\(872\) | −264.812 | − | 101.073i | −0.303683 | − | 0.115909i | ||||
\(873\) | 238.327 | + | 498.670i | 0.272998 | + | 0.571214i | ||||
\(874\) | −238.023 | − | 72.6056i | −0.272337 | − | 0.0830728i | ||||
\(875\) | 16.7363 | + | 6.09151i | 0.0191272 | + | 0.00696173i | ||||
\(876\) | 1404.99 | − | 620.994i | 1.60387 | − | 0.708897i | ||||
\(877\) | 761.184 | − | 907.144i | 0.867941 | − | 1.03437i | −0.131134 | − | 0.991365i | \(-0.541862\pi\) |
0.999075 | − | 0.0430069i | \(-0.0136937\pi\) | |||||||
\(878\) | 384.140 | − | 755.102i | 0.437517 | − | 0.860025i | ||||
\(879\) | −353.963 | + | 561.479i | −0.402688 | + | 0.638770i | ||||
\(880\) | −861.492 | + | 541.369i | −0.978969 | + | 0.615192i | ||||
\(881\) | 891.916 | + | 514.948i | 1.01239 | + | 0.584504i | 0.911891 | − | 0.410433i | \(-0.134622\pi\) |
0.100500 | + | 0.994937i | \(0.467956\pi\) | |||||||
\(882\) | −378.640 | − | 695.030i | −0.429297 | − | 0.788016i | ||||
\(883\) | 181.566 | − | 104.827i | 0.205624 | − | 0.118717i | −0.393652 | − | 0.919259i | \(-0.628789\pi\) |
0.599276 | + | 0.800543i | \(0.295455\pi\) | |||||||
\(884\) | 164.685 | + | 226.065i | 0.186296 | + | 0.255730i | ||||
\(885\) | −1972.88 | + | 632.365i | −2.22924 | + | 0.714537i | ||||
\(886\) | −673.616 | − | 1035.84i | −0.760289 | − | 1.16912i | ||||
\(887\) | −961.150 | − | 169.477i | −1.08360 | − | 0.191067i | −0.396792 | − | 0.917909i | \(-0.629876\pi\) |
−0.686805 | + | 0.726841i | \(0.740988\pi\) | |||||||
\(888\) | 406.824 | − | 123.458i | 0.458136 | − | 0.139030i | ||||
\(889\) | 65.1645 | − | 54.6795i | 0.0733009 | − | 0.0615067i | ||||
\(890\) | −1718.61 | + | 397.922i | −1.93102 | + | 0.447103i | ||||
\(891\) | 233.515 | − | 681.604i | 0.262082 | − | 0.764987i | ||||
\(892\) | −446.482 | + | 218.466i | −0.500540 | + | 0.244918i | ||||
\(893\) | −150.699 | + | 126.451i | −0.168755 | + | 0.141603i | ||||
\(894\) | 203.371 | − | 1256.84i | 0.227484 | − | 1.40586i | ||||
\(895\) | 352.607 | − | 1999.73i | 0.393974 | − | 2.23434i | ||||
\(896\) | 267.522 | − | 104.060i | 0.298574 | − | 0.116138i | ||||
\(897\) | 1810.81 | − | 580.418i | 2.01874 | − | 0.647066i | ||||
\(898\) | −21.2333 | − | 49.9343i | −0.0236451 | − | 0.0556061i | ||||
\(899\) | 62.9742 | + | 109.075i | 0.0700492 | + | 0.121329i | ||||
\(900\) | 189.287 | + | 920.736i | 0.210319 | + | 1.02304i | ||||
\(901\) | 147.743 | + | 85.2992i | 0.163976 | + | 0.0946717i | ||||
\(902\) | −633.216 | − | 77.3408i | −0.702013 | − | 0.0857437i | ||||
\(903\) | 220.707 | + | 139.136i | 0.244415 | + | 0.154082i | ||||
\(904\) | 1626.02 | + | 25.2825i | 1.79870 | + | 0.0279674i | ||||
\(905\) | 1180.72 | − | 1407.13i | 1.30467 | − | 1.55484i | ||||
\(906\) | −148.593 | − | 778.317i | −0.164009 | − | 0.859069i | ||||
\(907\) | −156.109 | + | 428.906i | −0.172116 | + | 0.472884i | −0.995518 | − | 0.0945744i | \(-0.969851\pi\) |
0.823402 | + | 0.567458i | \(0.192073\pi\) | |||||||
\(908\) | 107.553 | − | 1566.68i | 0.118450 | − | 1.72542i | ||||
\(909\) | 726.548 | − | 1058.89i | 0.799283 | − | 1.16489i | ||||
\(910\) | 346.439 | + | 371.038i | 0.380703 | + | 0.407734i | ||||
\(911\) | −236.891 | + | 41.7702i | −0.260034 | + | 0.0458510i | −0.302145 | − | 0.953262i | \(-0.597703\pi\) |
0.0421113 | + | 0.999113i | \(0.486592\pi\) | |||||||
\(912\) | 114.407 | − | 95.7197i | 0.125447 | − | 0.104956i | ||||
\(913\) | −212.251 | + | 77.2530i | −0.232476 | + | 0.0846145i | ||||
\(914\) | −1540.78 | + | 81.7303i | −1.68575 | + | 0.0894204i | ||||
\(915\) | −213.672 | + | 29.1637i | −0.233522 | + | 0.0318730i | ||||
\(916\) | 249.965 | + | 110.911i | 0.272888 | + | 0.121082i | ||||
\(917\) | 380.206 | 0.414620 | ||||||||
\(918\) | −164.619 | + | 172.582i | −0.179323 | + | 0.187998i | ||||
\(919\) | 1365.29 | 1.48563 | 0.742813 | − | 0.669499i | \(-0.233491\pi\) | ||||
0.742813 | + | 0.669499i | \(0.233491\pi\) | |||||||
\(920\) | 432.651 | − | 2248.67i | 0.470273 | − | 2.44420i | ||||
\(921\) | −522.594 | − | 674.400i | −0.567420 | − | 0.732247i | ||||
\(922\) | 656.187 | − | 34.8073i | 0.711699 | − | 0.0377520i | ||||
\(923\) | −1754.74 | + | 638.674i | −1.90113 | + | 0.691955i | ||||
\(924\) | −229.919 | − | 66.6020i | −0.248830 | − | 0.0720801i | ||||
\(925\) | 455.511 | − | 80.3188i | 0.492444 | − | 0.0868312i | ||||
\(926\) | 196.425 | − | 183.403i | 0.212122 | − | 0.198059i | ||||
\(927\) | −1445.70 | − | 657.494i | −1.55955 | − | 0.709271i | ||||
\(928\) | −882.083 | + | 621.826i | −0.950521 | + | 0.670071i | ||||
\(929\) | 308.282 | − | 846.997i | 0.331843 | − | 0.911730i | −0.655790 | − | 0.754943i | \(-0.727664\pi\) |
0.987633 | − | 0.156787i | \(-0.0501135\pi\) | |||||||
\(930\) | 121.248 | − | 104.690i | 0.130374 | − | 0.112570i | ||||
\(931\) | −87.8353 | + | 104.678i | −0.0943452 | + | 0.112436i | ||||
\(932\) | 6.35494 | − | 25.6269i | 0.00681861 | − | 0.0274967i | ||||
\(933\) | 821.566 | − | 432.653i | 0.880564 | − | 0.463722i | ||||
\(934\) | 63.3521 | − | 518.685i | 0.0678288 | − | 0.555337i | ||||
\(935\) | −243.240 | − | 140.434i | −0.260149 | − | 0.150197i | ||||
\(936\) | −301.668 | + | 1099.21i | −0.322295 | + | 1.17437i | ||||
\(937\) | 522.917 | + | 905.720i | 0.558076 | + | 0.966616i | 0.997657 | + | 0.0684134i | \(0.0217937\pi\) |
−0.439581 | + | 0.898203i | \(0.644873\pi\) | |||||||
\(938\) | −105.780 | − | 248.763i | −0.112772 | − | 0.265206i | ||||
\(939\) | 95.2878 | + | 86.4861i | 0.101478 | + | 0.0921044i | ||||
\(940\) | −1303.77 | − | 1255.84i | −1.38699 | − | 1.33600i | ||||
\(941\) | −245.195 | + | 1390.57i | −0.260569 | + | 1.47776i | 0.520794 | + | 0.853682i | \(0.325636\pi\) |
−0.781363 | + | 0.624077i | \(0.785475\pi\) | |||||||
\(942\) | −48.7005 | + | 59.7309i | −0.0516990 | + | 0.0634086i | ||||
\(943\) | 1099.81 | − | 922.850i | 1.16629 | − | 0.978632i | ||||
\(944\) | −948.428 | + | 1220.31i | −1.00469 | + | 1.29270i | ||||
\(945\) | −258.599 | + | 347.145i | −0.273649 | + | 0.367350i | ||||
\(946\) | −672.124 | + | 155.622i | −0.710491 | + | 0.164505i | ||||
\(947\) | 134.198 | − | 112.605i | 0.141708 | − | 0.118907i | −0.569178 | − | 0.822214i | \(-0.692738\pi\) |
0.710886 | + | 0.703307i | \(0.248294\pi\) | |||||||
\(948\) | 365.979 | + | 545.766i | 0.386054 | + | 0.575702i | ||||
\(949\) | 1995.77 | + | 351.908i | 2.10302 | + | 0.370819i | ||||
\(950\) | 136.051 | − | 88.4752i | 0.143211 | − | 0.0931318i | ||||
\(951\) | 257.710 | − | 1189.16i | 0.270988 | − | 1.25043i | ||||
\(952\) | 59.9010 | + | 51.8710i | 0.0629212 | + | 0.0544863i | ||||
\(953\) | 470.776 | − | 271.803i | 0.493994 | − | 0.285208i | −0.232236 | − | 0.972660i | \(-0.574604\pi\) |
0.726230 | + | 0.687452i | \(0.241271\pi\) | |||||||
\(954\) | 103.735 | + | 687.477i | 0.108737 | + | 0.720626i | ||||
\(955\) | −1686.36 | − | 973.623i | −1.76583 | − | 1.01950i | ||||
\(956\) | 13.5253 | + | 127.131i | 0.0141478 | + | 0.132982i | ||||
\(957\) | 899.297 | + | 34.9849i | 0.939704 | + | 0.0365568i | ||||
\(958\) | −250.283 | − | 127.325i | −0.261256 | − | 0.132907i | ||||
\(959\) | −5.34458 | + | 6.36942i | −0.00557308 | + | 0.00664173i | ||||
\(960\) | 987.241 | + | 953.681i | 1.02838 | + | 0.993418i | ||||
\(961\) | 889.939 | + | 323.911i | 0.926056 | + | 0.337057i | ||||
\(962\) | 536.479 | + | 163.645i | 0.557670 | + | 0.170110i | ||||
\(963\) | −7.10254 | − | 6.96885i | −0.00737543 | − | 0.00723660i | ||||
\(964\) | −1367.74 | − | 920.027i | −1.41882 | − | 0.954385i | ||||
\(965\) | 345.319 | + | 1958.40i | 0.357843 | + | 2.02943i | ||||
\(966\) | 462.703 | − | 275.920i | 0.478988 | − | 0.285632i | ||||
\(967\) | 20.2168 | − | 7.35832i | 0.0209067 | − | 0.00760943i | −0.331546 | − | 0.943439i | \(-0.607570\pi\) |
0.352452 | + | 0.935830i | \(0.385348\pi\) | |||||||
\(968\) | −292.716 | + | 162.985i | −0.302392 | + | 0.168373i | ||||
\(969\) | 38.1173 | + | 15.5770i | 0.0393368 | + | 0.0160753i | ||||
\(970\) | 701.595 | + | 527.991i | 0.723293 | + | 0.544321i | ||||
\(971\) | 863.059 | 0.888835 | 0.444417 | − | 0.895820i | \(-0.353411\pi\) | ||||
0.444417 | + | 0.895820i | \(0.353411\pi\) | |||||||
\(972\) | −968.203 | − | 85.8362i | −0.996093 | − | 0.0883089i | ||||
\(973\) | − | 5.64422i | − | 0.00580084i | ||||||
\(974\) | −51.0635 | − | 38.4283i | −0.0524266 | − | 0.0394541i | ||||
\(975\) | −469.121 | + | 1147.95i | −0.481150 | + | 1.17739i | ||||
\(976\) | −119.282 | + | 107.952i | −0.122215 | + | 0.110607i | ||||
\(977\) | 612.181 | + | 1681.95i | 0.626593 | + | 1.72155i | 0.690243 | + | 0.723577i | \(0.257503\pi\) |
−0.0636507 | + | 0.997972i | \(0.520274\pi\) | |||||||
\(978\) | −1010.92 | + | 602.833i | −1.03366 | + | 0.616394i | ||||
\(979\) | 1080.76 | − | 190.566i | 1.10394 | − | 0.194654i | ||||
\(980\) | −1043.35 | − | 701.818i | −1.06464 | − | 0.716141i | ||||
\(981\) | 223.327 | − | 227.611i | 0.227652 | − | 0.232019i | ||||
\(982\) | 171.892 | + | 52.4334i | 0.175043 | + | 0.0533945i | ||||
\(983\) | −62.0026 | + | 170.351i | −0.0630749 | + | 0.173297i | −0.967227 | − | 0.253915i | \(-0.918282\pi\) |
0.904152 | + | 0.427211i | \(0.140504\pi\) | |||||||
\(984\) | 103.112 | + | 854.403i | 0.104789 | + | 0.868296i | ||||
\(985\) | 1749.52 | + | 1468.02i | 1.77616 | + | 1.49037i | ||||
\(986\) | −265.532 | − | 135.083i | −0.269302 | − | 0.137001i | ||||
\(987\) | 16.5552 | − | 425.556i | 0.0167732 | − | 0.431161i | ||||
\(988\) | 195.690 | − | 20.8193i | 0.198067 | − | 0.0210721i | ||||
\(989\) | 776.346 | − | 1344.67i | 0.784981 | − | 1.35963i | ||||
\(990\) | −170.786 | − | 1131.84i | −0.172511 | − | 1.14328i | ||||
\(991\) | −116.979 | − | 202.614i | −0.118042 | − | 0.204454i | 0.800950 | − | 0.598731i | \(-0.204328\pi\) |
−0.918992 | + | 0.394277i | \(0.870995\pi\) | |||||||
\(992\) | 30.5628 | − | 115.529i | 0.0308093 | − | 0.116460i | ||||
\(993\) | 1001.94 | + | 217.136i | 1.00900 | + | 0.218667i | ||||
\(994\) | −443.504 | + | 288.416i | −0.446182 | + | 0.290157i | ||||
\(995\) | 281.898 | − | 1598.72i | 0.283315 | − | 1.60676i | ||||
\(996\) | 169.712 | + | 253.084i | 0.170394 | + | 0.254100i | ||||
\(997\) | 516.809 | + | 615.909i | 0.518364 | + | 0.617762i | 0.960193 | − | 0.279337i | \(-0.0901147\pi\) |
−0.441829 | + | 0.897099i | \(0.645670\pi\) | |||||||
\(998\) | −382.145 | + | 88.4809i | −0.382911 | + | 0.0886582i | ||||
\(999\) | −55.6652 | + | 475.037i | −0.0557209 | + | 0.475513i |
(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 | 216.3.x.a.5.16 | ✓ | 420 | |
8.5 | even | 2 | inner | 216.3.x.a.5.25 | yes | 420 | |
27.11 | odd | 18 | inner | 216.3.x.a.173.25 | yes | 420 | |
216.173 | odd | 18 | inner | 216.3.x.a.173.16 | yes | 420 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.3.x.a.5.16 | ✓ | 420 | 1.1 | even | 1 | trivial | |
216.3.x.a.5.25 | yes | 420 | 8.5 | even | 2 | inner | |
216.3.x.a.173.16 | yes | 420 | 216.173 | odd | 18 | inner | |
216.3.x.a.173.25 | yes | 420 | 27.11 | odd | 18 | inner |