Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,3,Mod(5,48)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(48, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 48 = 2^{4} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 48.i (of order \(4\), degree \(2\), 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: | \(1.30790526893\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{20} - 2 x^{18} + 6 x^{16} - 24 x^{14} - 24 x^{12} + 1216 x^{10} - 384 x^{8} - 6144 x^{6} + 24576 x^{4} - 131072 x^{2} + 1048576 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{13} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Root | \(-1.28499 + 1.53258i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 48.5 |
Dual form | 48.3.i.b.29.3 |
$q$-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 \(\left(\mathbb{Z}/48\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(31\) | \(37\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28499 | − | 1.53258i | −0.642495 | − | 0.766290i | ||||
\(3\) | −2.06336 | + | 2.17774i | −0.687785 | + | 0.725914i | ||||
\(4\) | −0.697601 | + | 3.93870i | −0.174400 | + | 0.984675i | ||||
\(5\) | −3.17955 | + | 3.17955i | −0.635909 | + | 0.635909i | −0.949544 | − | 0.313634i | \(-0.898453\pi\) |
0.313634 | + | 0.949544i | \(0.398453\pi\) | |||||||
\(6\) | 5.98896 | + | 0.363879i | 0.998159 | + | 0.0606465i | ||||
\(7\) | 6.03979i | 0.862827i | 0.902154 | + | 0.431414i | \(0.141985\pi\) | ||||
−0.902154 | + | 0.431414i | \(0.858015\pi\) | |||||||
\(8\) | 6.93278 | − | 3.99206i | 0.866598 | − | 0.499008i | ||||
\(9\) | −0.485128 | − | 8.98692i | −0.0539031 | − | 0.998546i | ||||
\(10\) | 8.95859 | + | 0.787223i | 0.895859 | + | 0.0787223i | ||||
\(11\) | −13.0097 | + | 13.0097i | −1.18270 | + | 1.18270i | −0.203657 | + | 0.979042i | \(0.565283\pi\) |
−0.979042 | + | 0.203657i | \(0.934717\pi\) | |||||||
\(12\) | −7.13808 | − | 9.64613i | −0.594840 | − | 0.803844i | ||||
\(13\) | 6.39520 | − | 6.39520i | 0.491939 | − | 0.491939i | −0.416978 | − | 0.908917i | \(-0.636911\pi\) |
0.908917 | + | 0.416978i | \(0.136911\pi\) | |||||||
\(14\) | 9.25646 | − | 7.76107i | 0.661176 | − | 0.554362i | ||||
\(15\) | −0.363700 | − | 13.4848i | −0.0242466 | − | 0.898985i | ||||
\(16\) | −15.0267 | − | 5.49528i | −0.939169 | − | 0.343455i | ||||
\(17\) | − | 4.39848i | − | 0.258734i | −0.991597 | − | 0.129367i | \(-0.958705\pi\) | ||
0.991597 | − | 0.129367i | \(-0.0412945\pi\) | |||||||
\(18\) | −13.1498 | + | 12.2916i | −0.730543 | + | 0.682866i | ||||
\(19\) | −3.21075 | + | 3.21075i | −0.168987 | + | 0.168987i | −0.786534 | − | 0.617547i | \(-0.788126\pi\) |
0.617547 | + | 0.786534i | \(0.288126\pi\) | |||||||
\(20\) | −10.3052 | − | 14.7413i | −0.515261 | − | 0.737067i | ||||
\(21\) | −13.1531 | − | 12.4622i | −0.626339 | − | 0.593440i | ||||
\(22\) | 36.6557 | + | 3.22107i | 1.66617 | + | 0.146412i | ||||
\(23\) | 34.0396 | 1.47998 | 0.739992 | − | 0.672616i | \(-0.234829\pi\) | ||||
0.739992 | + | 0.672616i | \(0.234829\pi\) | |||||||
\(24\) | −5.61111 | + | 23.3349i | −0.233796 | + | 0.972286i | ||||
\(25\) | 4.78097i | 0.191239i | ||||||||
\(26\) | −18.0189 | − | 1.58339i | −0.693036 | − | 0.0608994i | ||||
\(27\) | 20.5722 | + | 17.4867i | 0.761933 | + | 0.647656i | ||||
\(28\) | −23.7889 | − | 4.21336i | −0.849604 | − | 0.150477i | ||||
\(29\) | 27.9597 | + | 27.9597i | 0.964128 | + | 0.964128i | 0.999378 | − | 0.0352510i | \(-0.0112231\pi\) |
−0.0352510 | + | 0.999378i | \(0.511223\pi\) | |||||||
\(30\) | −20.1991 | + | 17.8852i | −0.673304 | + | 0.596173i | ||||
\(31\) | −7.90993 | −0.255159 | −0.127580 | − | 0.991828i | \(-0.540721\pi\) | ||||
−0.127580 | + | 0.991828i | \(0.540721\pi\) | |||||||
\(32\) | 10.8872 | + | 30.0910i | 0.340225 | + | 0.940344i | ||||
\(33\) | −1.48814 | − | 55.1754i | −0.0450952 | − | 1.67198i | ||||
\(34\) | −6.74102 | + | 5.65200i | −0.198265 | + | 0.166235i | ||||
\(35\) | −19.2038 | − | 19.2038i | −0.548680 | − | 0.548680i | ||||
\(36\) | 35.7352 | + | 4.35851i | 0.992644 | + | 0.121070i | ||||
\(37\) | 20.0443 | + | 20.0443i | 0.541736 | + | 0.541736i | 0.924038 | − | 0.382301i | \(-0.124868\pi\) |
−0.382301 | + | 0.924038i | \(0.624868\pi\) | |||||||
\(38\) | 9.04650 | + | 0.794947i | 0.238066 | + | 0.0209197i | ||||
\(39\) | 0.731530 | + | 27.1227i | 0.0187572 | + | 0.695453i | ||||
\(40\) | −9.35016 | + | 34.7360i | −0.233754 | + | 0.868401i | ||||
\(41\) | −45.1067 | −1.10016 | −0.550081 | − | 0.835111i | \(-0.685403\pi\) | ||||
−0.550081 | + | 0.835111i | \(0.685403\pi\) | |||||||
\(42\) | −2.19775 | + | 36.1720i | −0.0523274 | + | 0.861239i | ||||
\(43\) | −36.0095 | − | 36.0095i | −0.837431 | − | 0.837431i | 0.151089 | − | 0.988520i | \(-0.451722\pi\) |
−0.988520 | + | 0.151089i | \(0.951722\pi\) | |||||||
\(44\) | −42.1657 | − | 60.3168i | −0.958311 | − | 1.37084i | ||||
\(45\) | 30.1168 | + | 27.0318i | 0.669262 | + | 0.600707i | ||||
\(46\) | −43.7406 | − | 52.1684i | −0.950882 | − | 1.13410i | ||||
\(47\) | 5.08935i | 0.108284i | 0.998533 | + | 0.0541421i | \(0.0172424\pi\) | ||||
−0.998533 | + | 0.0541421i | \(0.982758\pi\) | |||||||
\(48\) | 42.9727 | − | 21.3856i | 0.895266 | − | 0.445533i | ||||
\(49\) | 12.5209 | 0.255529 | ||||||||
\(50\) | 7.32721 | − | 6.14349i | 0.146544 | − | 0.122870i | ||||
\(51\) | 9.57876 | + | 9.07563i | 0.187819 | + | 0.177953i | ||||
\(52\) | 20.7275 | + | 29.6501i | 0.398605 | + | 0.570194i | ||||
\(53\) | 20.7687 | − | 20.7687i | 0.391863 | − | 0.391863i | −0.483488 | − | 0.875351i | \(-0.660630\pi\) |
0.875351 | + | 0.483488i | \(0.160630\pi\) | |||||||
\(54\) | 0.364741 | − | 53.9988i | 0.00675447 | − | 0.999977i | ||||
\(55\) | − | 82.7299i | − | 1.50418i | ||||||
\(56\) | 24.1112 | + | 41.8725i | 0.430557 | + | 0.747724i | ||||
\(57\) | −0.367268 | − | 13.6171i | −0.00644331 | − | 0.238896i | ||||
\(58\) | 6.92253 | − | 78.7784i | 0.119354 | − | 1.35825i | ||||
\(59\) | −39.0656 | + | 39.0656i | −0.662129 | + | 0.662129i | −0.955881 | − | 0.293753i | \(-0.905096\pi\) |
0.293753 | + | 0.955881i | \(0.405096\pi\) | |||||||
\(60\) | 53.3662 | + | 7.97449i | 0.889436 | + | 0.132908i | ||||
\(61\) | −49.8322 | + | 49.8322i | −0.816921 | + | 0.816921i | −0.985661 | − | 0.168739i | \(-0.946030\pi\) |
0.168739 | + | 0.985661i | \(0.446030\pi\) | |||||||
\(62\) | 10.1642 | + | 12.1226i | 0.163938 | + | 0.195526i | ||||
\(63\) | 54.2791 | − | 2.93007i | 0.861573 | − | 0.0465090i | ||||
\(64\) | 32.1269 | − | 55.3522i | 0.501983 | − | 0.864878i | ||||
\(65\) | 40.6677i | 0.625657i | ||||||||
\(66\) | −82.6484 | + | 73.1805i | −1.25225 | + | 1.10880i | ||||
\(67\) | 44.9162 | − | 44.9162i | 0.670390 | − | 0.670390i | −0.287416 | − | 0.957806i | \(-0.592796\pi\) |
0.957806 | + | 0.287416i | \(0.0927961\pi\) | |||||||
\(68\) | 17.3243 | + | 3.06838i | 0.254769 | + | 0.0451233i | ||||
\(69\) | −70.2358 | + | 74.1295i | −1.01791 | + | 1.07434i | ||||
\(70\) | −4.75466 | + | 54.1080i | −0.0679237 | + | 0.772972i | ||||
\(71\) | 46.6947 | 0.657672 | 0.328836 | − | 0.944387i | \(-0.393344\pi\) | ||||
0.328836 | + | 0.944387i | \(0.393344\pi\) | |||||||
\(72\) | −39.2396 | − | 60.3677i | −0.544994 | − | 0.838440i | ||||
\(73\) | 97.3523i | 1.33359i | 0.745240 | + | 0.666797i | \(0.232335\pi\) | ||||
−0.745240 | + | 0.666797i | \(0.767665\pi\) | |||||||
\(74\) | 4.96275 | − | 56.4761i | 0.0670642 | − | 0.763190i | ||||
\(75\) | −10.4117 | − | 9.86483i | −0.138823 | − | 0.131531i | ||||
\(76\) | −10.4063 | − | 14.8860i | −0.136926 | − | 0.195868i | ||||
\(77\) | −78.5758 | − | 78.5758i | −1.02047 | − | 1.02047i | ||||
\(78\) | 40.6277 | − | 35.9735i | 0.520867 | − | 0.461199i | ||||
\(79\) | −40.1637 | −0.508402 | −0.254201 | − | 0.967151i | \(-0.581812\pi\) | ||||
−0.254201 | + | 0.967151i | \(0.581812\pi\) | |||||||
\(80\) | 65.2506 | − | 30.3056i | 0.815633 | − | 0.378820i | ||||
\(81\) | −80.5293 | + | 8.71960i | −0.994189 | + | 0.107649i | ||||
\(82\) | 57.9616 | + | 69.1296i | 0.706849 | + | 0.843043i | ||||
\(83\) | −35.5451 | − | 35.5451i | −0.428254 | − | 0.428254i | 0.459779 | − | 0.888033i | \(-0.347929\pi\) |
−0.888033 | + | 0.459779i | \(0.847929\pi\) | |||||||
\(84\) | 58.2606 | − | 43.1125i | 0.693579 | − | 0.513244i | ||||
\(85\) | 13.9852 | + | 13.9852i | 0.164531 | + | 0.164531i | ||||
\(86\) | −8.91558 | + | 101.459i | −0.103670 | + | 1.17976i | ||||
\(87\) | −118.580 | + | 3.19823i | −1.36299 | + | 0.0367613i | ||||
\(88\) | −38.2579 | + | 142.129i | −0.434749 | + | 1.61510i | ||||
\(89\) | 69.6795 | 0.782916 | 0.391458 | − | 0.920196i | \(-0.371971\pi\) | ||||
0.391458 | + | 0.920196i | \(0.371971\pi\) | |||||||
\(90\) | 2.72864 | − | 80.8920i | 0.0303182 | − | 0.898800i | ||||
\(91\) | 38.6257 | + | 38.6257i | 0.424458 | + | 0.424458i | ||||
\(92\) | −23.7461 | + | 134.072i | −0.258109 | + | 1.45730i | ||||
\(93\) | 16.3210 | − | 17.2258i | 0.175495 | − | 0.185224i | ||||
\(94\) | 7.79984 | − | 6.53977i | 0.0829770 | − | 0.0695720i | ||||
\(95\) | − | 20.4174i | − | 0.214920i | ||||||
\(96\) | −87.9947 | − | 38.3789i | −0.916611 | − | 0.399780i | ||||
\(97\) | 61.0939 | 0.629834 | 0.314917 | − | 0.949119i | \(-0.398023\pi\) | ||||
0.314917 | + | 0.949119i | \(0.398023\pi\) | |||||||
\(98\) | −16.0893 | − | 19.1893i | −0.164176 | − | 0.195809i | ||||
\(99\) | 123.228 | + | 110.606i | 1.24473 | + | 1.11723i | ||||
\(100\) | −18.8308 | − | 3.33521i | −0.188308 | − | 0.0333521i | ||||
\(101\) | 104.036 | − | 104.036i | 1.03006 | − | 1.03006i | 0.0305280 | − | 0.999534i | \(-0.490281\pi\) |
0.999534 | − | 0.0305280i | \(-0.00971886\pi\) | |||||||
\(102\) | 1.60051 | − | 26.3423i | 0.0156913 | − | 0.258258i | ||||
\(103\) | 57.2961i | 0.556272i | 0.960542 | + | 0.278136i | \(0.0897167\pi\) | ||||
−0.960542 | + | 0.278136i | \(0.910283\pi\) | |||||||
\(104\) | 18.8065 | − | 69.8666i | 0.180832 | − | 0.671794i | ||||
\(105\) | 81.4452 | − | 2.19667i | 0.775668 | − | 0.0209207i | ||||
\(106\) | −58.5173 | − | 5.14212i | −0.552050 | − | 0.0485105i | ||||
\(107\) | 92.4468 | − | 92.4468i | 0.863989 | − | 0.863989i | −0.127810 | − | 0.991799i | \(-0.540795\pi\) |
0.991799 | + | 0.127810i | \(0.0407947\pi\) | |||||||
\(108\) | −83.2261 | + | 68.8289i | −0.770612 | + | 0.637305i | ||||
\(109\) | 75.3749 | − | 75.3749i | 0.691513 | − | 0.691513i | −0.271052 | − | 0.962565i | \(-0.587371\pi\) |
0.962565 | + | 0.271052i | \(0.0873714\pi\) | |||||||
\(110\) | −126.790 | + | 106.307i | −1.15264 | + | 0.966428i | ||||
\(111\) | −85.0096 | + | 2.29281i | −0.765853 | + | 0.0206559i | ||||
\(112\) | 33.1903 | − | 90.7581i | 0.296342 | − | 0.810341i | ||||
\(113\) | 112.254i | 0.993401i | 0.867922 | + | 0.496701i | \(0.165455\pi\) | ||||
−0.867922 | + | 0.496701i | \(0.834545\pi\) | |||||||
\(114\) | −20.3973 | + | 18.0607i | −0.178924 | + | 0.158427i | ||||
\(115\) | −108.231 | + | 108.231i | −0.941135 | + | 0.941135i | ||||
\(116\) | −129.630 | + | 90.6201i | −1.11750 | + | 0.781208i | ||||
\(117\) | −60.5756 | − | 54.3707i | −0.517740 | − | 0.464706i | ||||
\(118\) | 110.070 | + | 9.67223i | 0.932797 | + | 0.0819681i | ||||
\(119\) | 26.5659 | 0.223243 | ||||||||
\(120\) | −56.3535 | − | 92.0350i | −0.469612 | − | 0.766959i | ||||
\(121\) | − | 217.504i | − | 1.79756i | ||||||
\(122\) | 140.406 | + | 12.3379i | 1.15087 | + | 0.101131i | ||||
\(123\) | 93.0711 | − | 98.2307i | 0.756676 | − | 0.798624i | ||||
\(124\) | 5.51798 | − | 31.1548i | 0.0444998 | − | 0.251249i | ||||
\(125\) | −94.6900 | − | 94.6900i | −0.757520 | − | 0.757520i | ||||
\(126\) | −74.2386 | − | 79.4219i | −0.589196 | − | 0.630333i | ||||
\(127\) | 93.6335 | 0.737272 | 0.368636 | − | 0.929574i | \(-0.379825\pi\) | ||||
0.368636 | + | 0.929574i | \(0.379825\pi\) | |||||||
\(128\) | −126.114 | + | 21.8899i | −0.985268 | + | 0.171015i | ||||
\(129\) | 152.720 | − | 4.11903i | 1.18388 | − | 0.0319305i | ||||
\(130\) | 62.3265 | − | 52.2576i | 0.479434 | − | 0.401981i | ||||
\(131\) | −81.5208 | − | 81.5208i | −0.622296 | − | 0.622296i | 0.323822 | − | 0.946118i | \(-0.395032\pi\) |
−0.946118 | + | 0.323822i | \(0.895032\pi\) | |||||||
\(132\) | 218.357 | + | 32.6291i | 1.65422 | + | 0.247190i | ||||
\(133\) | −19.3922 | − | 19.3922i | −0.145806 | − | 0.145806i | ||||
\(134\) | −126.554 | − | 11.1208i | −0.944436 | − | 0.0829909i | ||||
\(135\) | −121.010 | + | 9.81037i | −0.896371 | + | 0.0726694i | ||||
\(136\) | −17.5590 | − | 30.4937i | −0.129110 | − | 0.224218i | ||||
\(137\) | −24.5510 | −0.179205 | −0.0896023 | − | 0.995978i | \(-0.528560\pi\) | ||||
−0.0896023 | + | 0.995978i | \(0.528560\pi\) | |||||||
\(138\) | 203.862 | + | 12.3863i | 1.47726 | + | 0.0897558i | ||||
\(139\) | 3.06917 | + | 3.06917i | 0.0220804 | + | 0.0220804i | 0.718061 | − | 0.695980i | \(-0.245030\pi\) |
−0.695980 | + | 0.718061i | \(0.745030\pi\) | |||||||
\(140\) | 89.0346 | − | 62.2414i | 0.635961 | − | 0.444581i | ||||
\(141\) | −11.0833 | − | 10.5011i | −0.0786050 | − | 0.0744762i | ||||
\(142\) | −60.0022 | − | 71.5633i | −0.422551 | − | 0.503967i | ||||
\(143\) | 166.399i | 1.16363i | ||||||||
\(144\) | −42.0958 | + | 137.710i | −0.292332 | + | 0.956317i | ||||
\(145\) | −177.798 | −1.22620 | ||||||||
\(146\) | 149.200 | − | 125.097i | 1.02192 | − | 0.856827i | ||||
\(147\) | −25.8351 | + | 27.2674i | −0.175749 | + | 0.185492i | ||||
\(148\) | −92.9312 | + | 64.9654i | −0.627913 | + | 0.438955i | ||||
\(149\) | 5.86344 | − | 5.86344i | 0.0393519 | − | 0.0393519i | −0.687157 | − | 0.726509i | \(-0.741142\pi\) |
0.726509 | + | 0.687157i | \(0.241142\pi\) | |||||||
\(150\) | −1.73969 | + | 28.6330i | −0.0115980 | + | 0.190887i | ||||
\(151\) | 179.561i | 1.18914i | 0.804043 | + | 0.594571i | \(0.202678\pi\) | ||||
−0.804043 | + | 0.594571i | \(0.797322\pi\) | |||||||
\(152\) | −9.44191 | + | 35.0769i | −0.0621178 | + | 0.230769i | ||||
\(153\) | −39.5288 | + | 2.13382i | −0.258358 | + | 0.0139466i | ||||
\(154\) | −19.4546 | + | 221.393i | −0.126328 | + | 1.43762i | ||||
\(155\) | 25.1500 | − | 25.1500i | 0.162258 | − | 0.162258i | ||||
\(156\) | −107.338 | − | 16.0395i | −0.688067 | − | 0.102818i | ||||
\(157\) | −14.8689 | + | 14.8689i | −0.0947067 | + | 0.0947067i | −0.752873 | − | 0.658166i | \(-0.771332\pi\) |
0.658166 | + | 0.752873i | \(0.271332\pi\) | |||||||
\(158\) | 51.6100 | + | 61.5541i | 0.326646 | + | 0.389583i | ||||
\(159\) | 2.37568 | + | 88.0822i | 0.0149414 | + | 0.553976i | ||||
\(160\) | −130.292 | − | 61.0594i | −0.814326 | − | 0.381621i | ||||
\(161\) | 205.592i | 1.27697i | ||||||||
\(162\) | 116.843 | + | 112.213i | 0.721252 | + | 0.692673i | ||||
\(163\) | 66.1190 | − | 66.1190i | 0.405638 | − | 0.405638i | −0.474577 | − | 0.880214i | \(-0.657399\pi\) |
0.880214 | + | 0.474577i | \(0.157399\pi\) | |||||||
\(164\) | 31.4665 | − | 177.662i | 0.191869 | − | 1.08330i | ||||
\(165\) | 180.164 | + | 170.701i | 1.09191 | + | 1.03455i | ||||
\(166\) | −8.80060 | + | 100.151i | −0.0530156 | + | 0.603318i | ||||
\(167\) | −158.709 | −0.950353 | −0.475176 | − | 0.879891i | \(-0.657616\pi\) | ||||
−0.475176 | + | 0.879891i | \(0.657616\pi\) | |||||||
\(168\) | −140.938 | − | 33.8899i | −0.838914 | − | 0.201726i | ||||
\(169\) | 87.2028i | 0.515993i | ||||||||
\(170\) | 3.46258 | − | 39.4042i | 0.0203681 | − | 0.231789i | ||||
\(171\) | 30.4123 | + | 27.2971i | 0.177850 | + | 0.159632i | ||||
\(172\) | 166.951 | − | 116.710i | 0.970645 | − | 0.678549i | ||||
\(173\) | 76.9955 | + | 76.9955i | 0.445061 | + | 0.445061i | 0.893709 | − | 0.448648i | \(-0.148094\pi\) |
−0.448648 | + | 0.893709i | \(0.648094\pi\) | |||||||
\(174\) | 157.275 | + | 177.623i | 0.903882 | + | 1.02082i | ||||
\(175\) | −28.8760 | −0.165006 | ||||||||
\(176\) | 266.985 | − | 124.001i | 1.51696 | − | 0.704551i | ||||
\(177\) | −4.46861 | − | 165.681i | −0.0252464 | − | 0.936051i | ||||
\(178\) | −89.5375 | − | 106.789i | −0.503020 | − | 0.599941i | ||||
\(179\) | 101.360 | + | 101.360i | 0.566257 | + | 0.566257i | 0.931078 | − | 0.364821i | \(-0.118870\pi\) |
−0.364821 | + | 0.931078i | \(0.618870\pi\) | |||||||
\(180\) | −127.480 | + | 99.7636i | −0.708221 | + | 0.554242i | ||||
\(181\) | −212.373 | − | 212.373i | −1.17333 | − | 1.17333i | −0.981411 | − | 0.191920i | \(-0.938529\pi\) |
−0.191920 | − | 0.981411i | \(-0.561471\pi\) | |||||||
\(182\) | 9.56332 | − | 108.831i | 0.0525457 | − | 0.597970i | ||||
\(183\) | −5.70017 | − | 211.343i | −0.0311485 | − | 1.15488i | ||||
\(184\) | 235.989 | − | 135.888i | 1.28255 | − | 0.738523i | ||||
\(185\) | −127.463 | −0.688991 | ||||||||
\(186\) | −47.3722 | − | 2.87826i | −0.254689 | − | 0.0154745i | ||||
\(187\) | 57.2229 | + | 57.2229i | 0.306005 | + | 0.306005i | ||||
\(188\) | −20.0454 | − | 3.55034i | −0.106625 | − | 0.0188848i | ||||
\(189\) | −105.616 | + | 124.252i | −0.558815 | + | 0.657416i | ||||
\(190\) | −31.2913 | + | 26.2362i | −0.164691 | + | 0.138085i | ||||
\(191\) | 36.3314i | 0.190217i | 0.995467 | + | 0.0951083i | \(0.0303197\pi\) | ||||
−0.995467 | + | 0.0951083i | \(0.969680\pi\) | |||||||
\(192\) | 54.2535 | + | 184.175i | 0.282571 | + | 0.959247i | ||||
\(193\) | 47.1090 | 0.244088 | 0.122044 | − | 0.992525i | \(-0.461055\pi\) | ||||
0.122044 | + | 0.992525i | \(0.461055\pi\) | |||||||
\(194\) | −78.5050 | − | 93.6313i | −0.404665 | − | 0.482635i | ||||
\(195\) | −88.5638 | − | 83.9119i | −0.454173 | − | 0.430317i | ||||
\(196\) | −8.73462 | + | 49.3162i | −0.0445644 | + | 0.251613i | ||||
\(197\) | −32.2783 | + | 32.2783i | −0.163849 | + | 0.163849i | −0.784269 | − | 0.620420i | \(-0.786962\pi\) |
0.620420 | + | 0.784269i | \(0.286962\pi\) | |||||||
\(198\) | 11.1647 | − | 330.984i | 0.0563876 | − | 1.67164i | ||||
\(199\) | − | 118.181i | − | 0.593874i | −0.954897 | − | 0.296937i | \(-0.904035\pi\) | ||
0.954897 | − | 0.296937i | \(-0.0959651\pi\) | |||||||
\(200\) | 19.0859 | + | 33.1454i | 0.0954295 | + | 0.165727i | ||||
\(201\) | 5.13784 | + | 190.494i | 0.0255614 | + | 0.947731i | ||||
\(202\) | −293.129 | − | 25.7583i | −1.45114 | − | 0.127516i | ||||
\(203\) | −168.871 | + | 168.871i | −0.831875 | + | 0.831875i | ||||
\(204\) | −42.4283 | + | 31.3967i | −0.207982 | + | 0.153905i | ||||
\(205\) | 143.419 | − | 143.419i | 0.699604 | − | 0.699604i | ||||
\(206\) | 87.8108 | − | 73.6249i | 0.426266 | − | 0.357402i | ||||
\(207\) | −16.5136 | − | 305.911i | −0.0797756 | − | 1.47783i | ||||
\(208\) | −131.242 | + | 60.9554i | −0.630972 | + | 0.293055i | ||||
\(209\) | − | 83.5416i | − | 0.399721i | ||||||
\(210\) | −108.023 | − | 121.999i | −0.514394 | − | 0.580945i | ||||
\(211\) | 63.8884 | − | 63.8884i | 0.302789 | − | 0.302789i | −0.539315 | − | 0.842104i | \(-0.681317\pi\) |
0.842104 | + | 0.539315i | \(0.181317\pi\) | |||||||
\(212\) | 67.3134 | + | 96.2900i | 0.317516 | + | 0.454198i | ||||
\(213\) | −96.3478 | + | 101.689i | −0.452337 | + | 0.477413i | ||||
\(214\) | −260.475 | − | 22.8889i | −1.21717 | − | 0.106957i | ||||
\(215\) | 228.988 | 1.06506 | ||||||||
\(216\) | 212.430 | + | 39.1062i | 0.983474 | + | 0.181047i | ||||
\(217\) | − | 47.7743i | − | 0.220158i | ||||||
\(218\) | −212.374 | − | 18.6621i | −0.974193 | − | 0.0856057i | ||||
\(219\) | −212.008 | − | 200.872i | −0.968075 | − | 0.917226i | ||||
\(220\) | 325.848 | + | 57.7124i | 1.48113 | + | 0.262329i | ||||
\(221\) | −28.1292 | − | 28.1292i | −0.127281 | − | 0.127281i | ||||
\(222\) | 112.750 | + | 127.338i | 0.507885 | + | 0.573594i | ||||
\(223\) | −42.8886 | −0.192326 | −0.0961628 | − | 0.995366i | \(-0.530657\pi\) | ||||
−0.0961628 | + | 0.995366i | \(0.530657\pi\) | |||||||
\(224\) | −181.743 | + | 65.7565i | −0.811354 | + | 0.293556i | ||||
\(225\) | 42.9661 | − | 2.31938i | 0.190961 | − | 0.0103084i | ||||
\(226\) | 172.039 | − | 144.246i | 0.761233 | − | 0.638255i | ||||
\(227\) | 23.0035 | + | 23.0035i | 0.101337 | + | 0.101337i | 0.755958 | − | 0.654621i | \(-0.227172\pi\) |
−0.654621 | + | 0.755958i | \(0.727172\pi\) | |||||||
\(228\) | 53.8898 | + | 8.05273i | 0.236359 | + | 0.0353190i | ||||
\(229\) | 241.282 | + | 241.282i | 1.05363 | + | 1.05363i | 0.998478 | + | 0.0551571i | \(0.0175660\pi\) |
0.0551571 | + | 0.998478i | \(0.482434\pi\) | |||||||
\(230\) | 304.947 | + | 26.7968i | 1.32586 | + | 0.116508i | ||||
\(231\) | 333.248 | − | 8.98807i | 1.44263 | − | 0.0389094i | ||||
\(232\) | 305.455 | + | 82.2217i | 1.31662 | + | 0.354404i | ||||
\(233\) | 240.310 | 1.03137 | 0.515687 | − | 0.856777i | \(-0.327537\pi\) | ||||
0.515687 | + | 0.856777i | \(0.327537\pi\) | |||||||
\(234\) | −5.48827 | + | 162.703i | −0.0234542 | + | 0.695311i | ||||
\(235\) | −16.1818 | − | 16.1818i | −0.0688589 | − | 0.0688589i | ||||
\(236\) | −126.615 | − | 181.120i | −0.536506 | − | 0.767457i | ||||
\(237\) | 82.8721 | − | 87.4663i | 0.349671 | − | 0.369056i | ||||
\(238\) | −34.1369 | − | 40.7143i | −0.143432 | − | 0.171069i | ||||
\(239\) | − | 218.171i | − | 0.912851i | −0.889762 | − | 0.456425i | \(-0.849130\pi\) | ||
0.889762 | − | 0.456425i | \(-0.150870\pi\) | |||||||
\(240\) | −68.6374 | + | 204.630i | −0.285989 | + | 0.852626i | ||||
\(241\) | −88.9611 | −0.369133 | −0.184567 | − | 0.982820i | \(-0.559088\pi\) | ||||
−0.184567 | + | 0.982820i | \(0.559088\pi\) | |||||||
\(242\) | −333.343 | + | 279.491i | −1.37745 | + | 1.15492i | ||||
\(243\) | 147.172 | − | 193.364i | 0.605644 | − | 0.795736i | ||||
\(244\) | −161.511 | − | 231.037i | −0.661931 | − | 0.946873i | ||||
\(245\) | −39.8109 | + | 39.8109i | −0.162493 | + | 0.162493i | ||||
\(246\) | −270.142 | − | 16.4134i | −1.09814 | − | 0.0667210i | ||||
\(247\) | 41.0667i | 0.166262i | ||||||||
\(248\) | −54.8378 | + | 31.5769i | −0.221120 | + | 0.127326i | ||||
\(249\) | 150.750 | − | 4.06591i | 0.605423 | − | 0.0163289i | ||||
\(250\) | −23.4443 | + | 266.796i | −0.0937770 | + | 1.06718i | ||||
\(251\) | −169.225 | + | 169.225i | −0.674205 | + | 0.674205i | −0.958683 | − | 0.284478i | \(-0.908180\pi\) |
0.284478 | + | 0.958683i | \(0.408180\pi\) | |||||||
\(252\) | −26.3245 | + | 215.833i | −0.104462 | + | 0.856480i | ||||
\(253\) | −442.845 | + | 442.845i | −1.75038 | + | 1.75038i | ||||
\(254\) | −120.318 | − | 143.501i | −0.473693 | − | 0.564964i | ||||
\(255\) | −59.3125 | + | 1.59973i | −0.232598 | + | 0.00627343i | ||||
\(256\) | 195.604 | + | 165.152i | 0.764077 | + | 0.645125i | ||||
\(257\) | − | 393.109i | − | 1.52961i | −0.644262 | − | 0.764804i | \(-0.722836\pi\) | ||
0.644262 | − | 0.764804i | \(-0.277164\pi\) | |||||||
\(258\) | −202.556 | − | 228.763i | −0.785102 | − | 0.886676i | ||||
\(259\) | −121.063 | + | 121.063i | −0.467425 | + | 0.467425i | ||||
\(260\) | −160.178 | − | 28.3698i | −0.616068 | − | 0.109115i | ||||
\(261\) | 237.707 | − | 264.835i | 0.910756 | − | 1.01470i | ||||
\(262\) | −20.1837 | + | 229.690i | −0.0770370 | + | 0.876681i | ||||
\(263\) | 179.865 | 0.683897 | 0.341948 | − | 0.939719i | \(-0.388913\pi\) | ||||
0.341948 | + | 0.939719i | \(0.388913\pi\) | |||||||
\(264\) | −230.580 | − | 376.578i | −0.873411 | − | 1.42643i | ||||
\(265\) | 132.070i | 0.498378i | ||||||||
\(266\) | −4.80131 | + | 54.6390i | −0.0180501 | + | 0.205410i | ||||
\(267\) | −143.774 | + | 151.744i | −0.538478 | + | 0.568330i | ||||
\(268\) | 145.578 | + | 208.245i | 0.543200 | + | 0.777033i | ||||
\(269\) | 290.530 | + | 290.530i | 1.08004 | + | 1.08004i | 0.996505 | + | 0.0835324i | \(0.0266202\pi\) |
0.0835324 | + | 0.996505i | \(0.473380\pi\) | |||||||
\(270\) | 170.532 | + | 172.851i | 0.631600 | + | 0.640190i | ||||
\(271\) | 496.550 | 1.83229 | 0.916144 | − | 0.400849i | \(-0.131285\pi\) | ||||
0.916144 | + | 0.400849i | \(0.131285\pi\) | |||||||
\(272\) | −24.1709 | + | 66.0947i | −0.0888635 | + | 0.242995i | ||||
\(273\) | −163.815 | + | 4.41829i | −0.600056 | + | 0.0161842i | ||||
\(274\) | 31.5478 | + | 37.6264i | 0.115138 | + | 0.137323i | ||||
\(275\) | −62.1989 | − | 62.1989i | −0.226178 | − | 0.226178i | ||||
\(276\) | −242.977 | − | 328.351i | −0.880353 | − | 1.18968i | ||||
\(277\) | −93.0101 | − | 93.0101i | −0.335776 | − | 0.335776i | 0.518999 | − | 0.854775i | \(-0.326305\pi\) |
−0.854775 | + | 0.518999i | \(0.826305\pi\) | |||||||
\(278\) | 0.759895 | − | 8.64760i | 0.00273343 | − | 0.0311065i | ||||
\(279\) | 3.83733 | + | 71.0859i | 0.0137539 | + | 0.254788i | ||||
\(280\) | −209.798 | − | 56.4730i | −0.749280 | − | 0.201689i | ||||
\(281\) | −300.875 | −1.07073 | −0.535365 | − | 0.844621i | \(-0.679826\pi\) | ||||
−0.535365 | + | 0.844621i | \(0.679826\pi\) | |||||||
\(282\) | −1.85191 | + | 30.4799i | −0.00656705 | + | 0.108085i | ||||
\(283\) | 101.469 | + | 101.469i | 0.358549 | + | 0.358549i | 0.863278 | − | 0.504729i | \(-0.168408\pi\) |
−0.504729 | + | 0.863278i | \(0.668408\pi\) | |||||||
\(284\) | −32.5743 | + | 183.916i | −0.114698 | + | 0.647593i | ||||
\(285\) | 44.4639 | + | 42.1284i | 0.156014 | + | 0.147819i | ||||
\(286\) | 255.020 | − | 213.821i | 0.891679 | − | 0.747627i | ||||
\(287\) | − | 272.435i | − | 0.949250i | ||||||
\(288\) | 265.144 | − | 112.440i | 0.920638 | − | 0.390418i | ||||
\(289\) | 269.653 | 0.933057 | ||||||||
\(290\) | 228.469 | + | 272.490i | 0.787824 | + | 0.939621i | ||||
\(291\) | −126.058 | + | 133.047i | −0.433190 | + | 0.457205i | ||||
\(292\) | −383.442 | − | 67.9131i | −1.31316 | − | 0.232579i | ||||
\(293\) | −321.104 | + | 321.104i | −1.09592 | + | 1.09592i | −0.101037 | + | 0.994883i | \(0.532216\pi\) |
−0.994883 | + | 0.101037i | \(0.967784\pi\) | |||||||
\(294\) | 74.9873 | + | 4.55610i | 0.255059 | + | 0.0154970i | ||||
\(295\) | − | 248.422i | − | 0.842107i | ||||||
\(296\) | 218.980 | + | 58.9445i | 0.739798 | + | 0.199137i | ||||
\(297\) | −495.135 | + | 40.1409i | −1.66712 | + | 0.135155i | ||||
\(298\) | −16.5206 | − | 1.45173i | −0.0554384 | − | 0.00487156i | ||||
\(299\) | 217.690 | − | 217.690i | 0.728061 | − | 0.728061i | ||||
\(300\) | 46.1178 | − | 34.1269i | 0.153726 | − | 0.113756i | ||||
\(301\) | 217.490 | − | 217.490i | 0.722558 | − | 0.722558i | ||||
\(302\) | 275.191 | − | 230.733i | 0.911228 | − | 0.764018i | ||||
\(303\) | 11.9004 | + | 441.228i | 0.0392753 | + | 1.45620i | ||||
\(304\) | 65.8909 | − | 30.6030i | 0.216746 | − | 0.100668i | ||||
\(305\) | − | 316.888i | − | 1.03898i | ||||||
\(306\) | 54.0643 | + | 57.8390i | 0.176681 | + | 0.189016i | ||||
\(307\) | 94.2282 | − | 94.2282i | 0.306932 | − | 0.306932i | −0.536786 | − | 0.843718i | \(-0.680362\pi\) |
0.843718 | + | 0.536786i | \(0.180362\pi\) | |||||||
\(308\) | 364.301 | − | 254.672i | 1.18280 | − | 0.826857i | ||||
\(309\) | −124.776 | − | 118.222i | −0.403806 | − | 0.382596i | ||||
\(310\) | −70.8619 | − | 6.22688i | −0.228587 | − | 0.0200867i | ||||
\(311\) | −245.712 | −0.790070 | −0.395035 | − | 0.918666i | \(-0.629268\pi\) | ||||
−0.395035 | + | 0.918666i | \(0.629268\pi\) | |||||||
\(312\) | 113.347 | + | 185.115i | 0.363291 | + | 0.593318i | ||||
\(313\) | − | 353.841i | − | 1.13048i | −0.824925 | − | 0.565242i | \(-0.808783\pi\) | ||
0.824925 | − | 0.565242i | \(-0.191217\pi\) | |||||||
\(314\) | 41.8943 | + | 3.68140i | 0.133421 | + | 0.0117242i | ||||
\(315\) | −163.267 | + | 181.899i | −0.518307 | + | 0.577458i | ||||
\(316\) | 28.0183 | − | 158.193i | 0.0886654 | − | 0.500610i | ||||
\(317\) | 234.024 | + | 234.024i | 0.738245 | + | 0.738245i | 0.972238 | − | 0.233994i | \(-0.0751795\pi\) |
−0.233994 | + | 0.972238i | \(0.575179\pi\) | |||||||
\(318\) | 131.940 | − | 116.826i | 0.414906 | − | 0.367376i | ||||
\(319\) | −727.494 | −2.28055 | ||||||||
\(320\) | 73.8458 | + | 278.144i | 0.230768 | + | 0.869199i | ||||
\(321\) | 10.5747 | + | 392.076i | 0.0329431 | + | 1.22142i | ||||
\(322\) | 315.086 | − | 264.184i | 0.978529 | − | 0.820447i | ||||
\(323\) | 14.1224 | + | 14.1224i | 0.0437226 | + | 0.0437226i | ||||
\(324\) | 21.8334 | − | 323.264i | 0.0673871 | − | 0.997727i | ||||
\(325\) | 30.5752 | + | 30.5752i | 0.0940777 | + | 0.0940777i | ||||
\(326\) | −186.295 | − | 16.3704i | −0.571456 | − | 0.0502158i | ||||
\(327\) | 8.62193 | + | 319.673i | 0.0263668 | + | 0.977592i | ||||
\(328\) | −312.715 | + | 180.069i | −0.953398 | + | 0.548989i | ||||
\(329\) | −30.7386 | −0.0934305 | ||||||||
\(330\) | 30.1037 | − | 495.465i | 0.0912232 | − | 1.50141i | ||||
\(331\) | −32.5392 | − | 32.5392i | −0.0983058 | − | 0.0983058i | 0.656243 | − | 0.754549i | \(-0.272144\pi\) |
−0.754549 | + | 0.656243i | \(0.772144\pi\) | |||||||
\(332\) | 164.798 | − | 115.205i | 0.496379 | − | 0.347004i | ||||
\(333\) | 170.412 | − | 189.860i | 0.511748 | − | 0.570150i | ||||
\(334\) | 203.939 | + | 243.234i | 0.610597 | + | 0.728246i | ||||
\(335\) | 285.626i | 0.852615i | ||||||||
\(336\) | 129.164 | + | 259.546i | 0.384418 | + | 0.772459i | ||||
\(337\) | −185.573 | −0.550660 | −0.275330 | − | 0.961350i | \(-0.588787\pi\) | ||||
−0.275330 | + | 0.961350i | \(0.588787\pi\) | |||||||
\(338\) | 133.645 | − | 112.055i | 0.395400 | − | 0.331523i | ||||
\(339\) | −244.461 | − | 231.621i | −0.721124 | − | 0.683247i | ||||
\(340\) | −64.8395 | + | 45.3273i | −0.190704 | + | 0.133316i | ||||
\(341\) | 102.906 | − | 102.906i | 0.301776 | − | 0.301776i | ||||
\(342\) | 2.75542 | − | 81.6858i | 0.00805678 | − | 0.238847i | ||||
\(343\) | 371.574i | 1.08330i | ||||||||
\(344\) | −393.398 | − | 105.894i | −1.14360 | − | 0.307831i | ||||
\(345\) | −12.3802 | − | 459.016i | −0.0358846 | − | 1.33048i | ||||
\(346\) | 19.0633 | − | 216.940i | 0.0550962 | − | 0.626995i | ||||
\(347\) | 51.9585 | − | 51.9585i | 0.149736 | − | 0.149736i | −0.628264 | − | 0.778000i | \(-0.716234\pi\) |
0.778000 | + | 0.628264i | \(0.216234\pi\) | |||||||
\(348\) | 70.1245 | − | 469.281i | 0.201507 | − | 1.34851i | ||||
\(349\) | 378.719 | − | 378.719i | 1.08515 | − | 1.08515i | 0.0891344 | − | 0.996020i | \(-0.471590\pi\) |
0.996020 | − | 0.0891344i | \(-0.0284101\pi\) | |||||||
\(350\) | 37.1054 | + | 44.2548i | 0.106015 | + | 0.126442i | ||||
\(351\) | 243.394 | − | 19.7322i | 0.693431 | − | 0.0562170i | ||||
\(352\) | −533.114 | − | 249.835i | −1.51453 | − | 0.709760i | ||||
\(353\) | − | 326.435i | − | 0.924744i | −0.886686 | − | 0.462372i | \(-0.846998\pi\) | ||
0.886686 | − | 0.462372i | \(-0.153002\pi\) | |||||||
\(354\) | −248.177 | + | 219.747i | −0.701066 | + | 0.620754i | ||||
\(355\) | −148.468 | + | 148.468i | −0.418220 | + | 0.418220i | ||||
\(356\) | −48.6085 | + | 274.447i | −0.136541 | + | 0.770918i | ||||
\(357\) | −54.8149 | + | 57.8537i | −0.153543 | + | 0.162055i | ||||
\(358\) | 25.0957 | − | 285.589i | 0.0700997 | − | 0.797734i | ||||
\(359\) | −254.927 | −0.710103 | −0.355051 | − | 0.934847i | \(-0.615537\pi\) | ||||
−0.355051 | + | 0.934847i | \(0.615537\pi\) | |||||||
\(360\) | 316.706 | + | 67.1777i | 0.879739 | + | 0.186605i | ||||
\(361\) | 340.382i | 0.942887i | ||||||||
\(362\) | −52.5813 | + | 598.375i | −0.145252 | + | 1.65297i | ||||
\(363\) | 473.668 | + | 448.789i | 1.30487 | + | 1.23633i | ||||
\(364\) | −179.080 | + | 125.190i | −0.491979 | + | 0.343928i | ||||
\(365\) | −309.536 | − | 309.536i | −0.848045 | − | 0.848045i | ||||
\(366\) | −316.576 | + | 280.310i | −0.864961 | + | 0.765874i | ||||
\(367\) | −124.247 | −0.338548 | −0.169274 | − | 0.985569i | \(-0.554142\pi\) | ||||
−0.169274 | + | 0.985569i | \(0.554142\pi\) | |||||||
\(368\) | −511.503 | − | 187.057i | −1.38995 | − | 0.508308i | ||||
\(369\) | 21.8825 | + | 405.370i | 0.0593021 | + | 1.09856i | ||||
\(370\) | 163.789 | + | 195.348i | 0.442673 | + | 0.527966i | ||||
\(371\) | 125.439 | + | 125.439i | 0.338110 | + | 0.338110i | ||||
\(372\) | 56.4617 | + | 76.3002i | 0.151779 | + | 0.205108i | ||||
\(373\) | −201.674 | − | 201.674i | −0.540680 | − | 0.540680i | 0.383048 | − | 0.923728i | \(-0.374874\pi\) |
−0.923728 | + | 0.383048i | \(0.874874\pi\) | |||||||
\(374\) | 14.1678 | − | 161.229i | 0.0378818 | − | 0.431095i | ||||
\(375\) | 401.589 | − | 10.8313i | 1.07091 | − | 0.0288835i | ||||
\(376\) | 20.3170 | + | 35.2834i | 0.0540346 | + | 0.0938388i | ||||
\(377\) | 357.616 | 0.948583 | ||||||||
\(378\) | 326.141 | + | 2.20296i | 0.862807 | + | 0.00582794i | ||||
\(379\) | −227.541 | − | 227.541i | −0.600372 | − | 0.600372i | 0.340040 | − | 0.940411i | \(-0.389560\pi\) |
−0.940411 | + | 0.340040i | \(0.889560\pi\) | |||||||
\(380\) | 80.4181 | + | 14.2432i | 0.211627 | + | 0.0374822i | ||||
\(381\) | −193.199 | + | 203.910i | −0.507084 | + | 0.535196i | ||||
\(382\) | 55.6807 | − | 46.6854i | 0.145761 | − | 0.122213i | ||||
\(383\) | − | 128.933i | − | 0.336641i | −0.985732 | − | 0.168320i | \(-0.946166\pi\) | ||
0.985732 | − | 0.168320i | \(-0.0538343\pi\) | |||||||
\(384\) | 212.548 | − | 319.811i | 0.553511 | − | 0.832842i | ||||
\(385\) | 499.671 | 1.29785 | ||||||||
\(386\) | −60.5346 | − | 72.1982i | −0.156825 | − | 0.187042i | ||||
\(387\) | −306.145 | + | 341.084i | −0.791073 | + | 0.881353i | ||||
\(388\) | −42.6192 | + | 240.630i | −0.109843 | + | 0.620182i | ||||
\(389\) | 107.474 | − | 107.474i | 0.276283 | − | 0.276283i | −0.555340 | − | 0.831623i | \(-0.687412\pi\) |
0.831623 | + | 0.555340i | \(0.187412\pi\) | |||||||
\(390\) | −14.7981 | + | 243.557i | −0.0379439 | + | 0.624505i | ||||
\(391\) | − | 149.723i | − | 0.382922i | ||||||
\(392\) | 86.8049 | − | 49.9843i | 0.221441 | − | 0.127511i | ||||
\(393\) | 345.738 | − | 9.32494i | 0.879739 | − | 0.0237276i | ||||
\(394\) | 90.9463 | + | 7.99176i | 0.230828 | + | 0.0202837i | ||||
\(395\) | 127.702 | − | 127.702i | 0.323297 | − | 0.323297i | ||||
\(396\) | −521.607 | + | 408.201i | −1.31719 | + | 1.03081i | ||||
\(397\) | −259.306 | + | 259.306i | −0.653163 | + | 0.653163i | −0.953753 | − | 0.300591i | \(-0.902816\pi\) |
0.300591 | + | 0.953753i | \(0.402816\pi\) | |||||||
\(398\) | −181.122 | + | 151.861i | −0.455080 | + | 0.381561i | ||||
\(399\) | 82.2444 | − | 2.21822i | 0.206126 | − | 0.00555946i | ||||
\(400\) | 26.2728 | − | 71.8422i | 0.0656819 | − | 0.179605i | ||||
\(401\) | 335.810i | 0.837431i | 0.908117 | + | 0.418716i | \(0.137520\pi\) | ||||
−0.908117 | + | 0.418716i | \(0.862480\pi\) | |||||||
\(402\) | 285.345 | − | 252.657i | 0.709813 | − | 0.628500i | ||||
\(403\) | −50.5856 | + | 50.5856i | −0.125523 | + | 0.125523i | ||||
\(404\) | 337.192 | + | 482.343i | 0.834633 | + | 1.19392i | ||||
\(405\) | 228.322 | − | 283.771i | 0.563759 | − | 0.700669i | ||||
\(406\) | 475.805 | + | 41.8106i | 1.17193 | + | 0.102982i | ||||
\(407\) | −521.539 | −1.28142 | ||||||||
\(408\) | 102.638 | + | 24.6804i | 0.251563 | + | 0.0604911i | ||||
\(409\) | 66.3618i | 0.162254i | 0.996704 | + | 0.0811269i | \(0.0258519\pi\) | ||||
−0.996704 | + | 0.0811269i | \(0.974148\pi\) | |||||||
\(410\) | −404.092 | − | 35.5090i | −0.985591 | − | 0.0866073i | ||||
\(411\) | 50.6575 | − | 53.4658i | 0.123254 | − | 0.130087i | ||||
\(412\) | −225.672 | − | 39.9698i | −0.547747 | − | 0.0970140i | ||||
\(413\) | −235.948 | − | 235.948i | −0.571303 | − | 0.571303i | ||||
\(414\) | −447.613 | + | 418.401i | −1.08119 | + | 1.01063i | ||||
\(415\) | 226.035 | 0.544662 | ||||||||
\(416\) | 262.064 | + | 122.812i | 0.629961 | + | 0.295222i | ||||
\(417\) | −13.0167 | + | 0.351074i | −0.0312150 | + | 0.000841904i | ||||
\(418\) | −128.034 | + | 107.350i | −0.306302 | + | 0.256819i | ||||
\(419\) | 371.566 | + | 371.566i | 0.886792 | + | 0.886792i | 0.994214 | − | 0.107422i | \(-0.0342596\pi\) |
−0.107422 | + | 0.994214i | \(0.534260\pi\) | |||||||
\(420\) | −48.1642 | + | 322.320i | −0.114677 | + | 0.767430i | ||||
\(421\) | 487.629 | + | 487.629i | 1.15826 | + | 1.15826i | 0.984849 | + | 0.173416i | \(0.0554806\pi\) |
0.173416 | + | 0.984849i | \(0.444519\pi\) | |||||||
\(422\) | −180.010 | − | 15.8181i | −0.426564 | − | 0.0374837i | ||||
\(423\) | 45.7376 | − | 2.46899i | 0.108127 | − | 0.00583685i | ||||
\(424\) | 61.0750 | − | 226.895i | 0.144045 | − | 0.535129i | ||||
\(425\) | 21.0290 | 0.0494800 | ||||||||
\(426\) | 279.652 | + | 16.9912i | 0.656461 | + | 0.0398855i | ||||
\(427\) | −300.976 | − | 300.976i | −0.704862 | − | 0.704862i | ||||
\(428\) | 299.629 | + | 428.611i | 0.700068 | + | 1.00143i | ||||
\(429\) | −362.375 | − | 343.341i | −0.844696 | − | 0.800328i | ||||
\(430\) | −294.247 | − | 350.942i | −0.684296 | − | 0.816145i | ||||
\(431\) | − | 505.901i | − | 1.17378i | −0.809665 | − | 0.586892i | \(-0.800351\pi\) | ||
0.809665 | − | 0.586892i | \(-0.199649\pi\) | |||||||
\(432\) | −213.038 | − | 375.818i | −0.493143 | − | 0.869948i | ||||
\(433\) | −758.226 | −1.75110 | −0.875550 | − | 0.483128i | \(-0.839500\pi\) | ||||
−0.875550 | + | 0.483128i | \(0.839500\pi\) | |||||||
\(434\) | −73.2180 | + | 61.3895i | −0.168705 | + | 0.141451i | ||||
\(435\) | 366.861 | − | 387.199i | 0.843359 | − | 0.890113i | ||||
\(436\) | 244.298 | + | 349.461i | 0.560316 | + | 0.801516i | ||||
\(437\) | −109.293 | + | 109.293i | −0.250097 | + | 0.250097i | ||||
\(438\) | −35.4245 | + | 583.039i | −0.0808778 | + | 1.33114i | ||||
\(439\) | − | 145.760i | − | 0.332026i | −0.986124 | − | 0.166013i | \(-0.946911\pi\) | ||
0.986124 | − | 0.166013i | \(-0.0530895\pi\) | |||||||
\(440\) | −330.263 | − | 573.548i | −0.750597 | − | 1.30352i | ||||
\(441\) | −6.07425 | − | 112.525i | −0.0137738 | − | 0.255158i | ||||
\(442\) | −6.96449 | + | 79.2559i | −0.0157568 | + | 0.179312i | ||||
\(443\) | 607.046 | − | 607.046i | 1.37031 | − | 1.37031i | 0.510323 | − | 0.859983i | \(-0.329526\pi\) |
0.859983 | − | 0.510323i | \(-0.170474\pi\) | |||||||
\(444\) | 50.2721 | − | 336.427i | 0.113226 | − | 0.757718i | ||||
\(445\) | −221.549 | + | 221.549i | −0.497864 | + | 0.497864i | ||||
\(446\) | 55.1114 | + | 65.7302i | 0.123568 | + | 0.147377i | ||||
\(447\) | 0.670702 | + | 24.8674i | 0.00150045 | + | 0.0556318i | ||||
\(448\) | 334.315 | + | 194.040i | 0.746240 | + | 0.433124i | ||||
\(449\) | 190.654i | 0.424620i | 0.977202 | + | 0.212310i | \(0.0680986\pi\) | ||||
−0.977202 | + | 0.212310i | \(0.931901\pi\) | |||||||
\(450\) | −58.7657 | − | 62.8687i | −0.130590 | − | 0.139708i | ||||
\(451\) | 586.824 | − | 586.824i | 1.30116 | − | 1.30116i | ||||
\(452\) | −442.136 | − | 78.3087i | −0.978177 | − | 0.173249i | ||||
\(453\) | −391.037 | − | 370.497i | −0.863216 | − | 0.817875i | ||||
\(454\) | 5.69542 | − | 64.8139i | 0.0125450 | − | 0.142762i | ||||
\(455\) | −245.624 | −0.539834 | ||||||||
\(456\) | −56.9064 | − | 92.9381i | −0.124795 | − | 0.203812i | ||||
\(457\) | 128.091i | 0.280287i | 0.990131 | + | 0.140143i | \(0.0447563\pi\) | ||||
−0.990131 | + | 0.140143i | \(0.955244\pi\) | |||||||
\(458\) | 59.7390 | − | 679.830i | 0.130435 | − | 1.48434i | ||||
\(459\) | 76.9150 | − | 90.4863i | 0.167571 | − | 0.197138i | ||||
\(460\) | −350.786 | − | 501.789i | −0.762578 | − | 1.09085i | ||||
\(461\) | −74.2060 | − | 74.2060i | −0.160968 | − | 0.160968i | 0.622028 | − | 0.782995i | \(-0.286309\pi\) |
−0.782995 | + | 0.622028i | \(0.786309\pi\) | |||||||
\(462\) | −441.995 | − | 499.179i | −0.956699 | − | 1.08047i | ||||
\(463\) | 620.192 | 1.33951 | 0.669753 | − | 0.742584i | \(-0.266400\pi\) | ||||
0.669753 | + | 0.742584i | \(0.266400\pi\) | |||||||
\(464\) | −266.496 | − | 573.789i | −0.574344 | − | 1.23661i | ||||
\(465\) | 2.87684 | + | 106.664i | 0.00618675 | + | 0.229384i | ||||
\(466\) | −308.796 | − | 368.294i | −0.662653 | − | 0.790331i | ||||
\(467\) | 331.708 | + | 331.708i | 0.710296 | + | 0.710296i | 0.966597 | − | 0.256301i | \(-0.0825038\pi\) |
−0.256301 | + | 0.966597i | \(0.582504\pi\) | |||||||
\(468\) | 256.407 | − | 200.660i | 0.547879 | − | 0.428761i | ||||
\(469\) | 271.284 | + | 271.284i | 0.578431 | + | 0.578431i | ||||
\(470\) | −4.00646 | + | 45.5935i | −0.00852437 | + | 0.0970074i | ||||
\(471\) | −1.70082 | − | 63.0607i | −0.00361108 | − | 0.133887i | ||||
\(472\) | −114.881 | + | 426.785i | −0.243392 | + | 0.904206i | ||||
\(473\) | 936.946 | 1.98086 | ||||||||
\(474\) | −240.539 | − | 14.6147i | −0.507466 | − | 0.0308328i | ||||
\(475\) | −15.3505 | − | 15.3505i | −0.0323168 | − | 0.0323168i | ||||
\(476\) | −18.5324 | + | 104.635i | −0.0389336 | + | 0.219822i | ||||
\(477\) | −196.722 | − | 176.571i | −0.412415 | − | 0.370170i | ||||
\(478\) | −334.365 | + | 280.348i | −0.699508 | + | 0.586502i | ||||
\(479\) | 867.941i | 1.81198i | 0.423294 | + | 0.905992i | \(0.360874\pi\) | ||||
−0.423294 | + | 0.905992i | \(0.639126\pi\) | |||||||
\(480\) | 401.811 | − | 157.756i | 0.837105 | − | 0.328658i | ||||
\(481\) | 256.374 | 0.533002 | ||||||||
\(482\) | 114.314 | + | 136.340i | 0.237166 | + | 0.282863i | ||||
\(483\) | −447.727 | − | 424.210i | −0.926970 | − | 0.878281i | ||||
\(484\) | 856.684 | + | 151.731i | 1.77001 | + | 0.313494i | ||||
\(485\) | −194.251 | + | 194.251i | −0.400517 | + | 0.400517i | ||||
\(486\) | −485.459 | + | 22.9184i | −0.998887 | + | 0.0471572i | ||||
\(487\) | − | 815.778i | − | 1.67511i | −0.546354 | − | 0.837554i | \(-0.683985\pi\) | ||
0.546354 | − | 0.837554i | \(-0.316015\pi\) | |||||||
\(488\) | −146.543 | + | 544.409i | −0.300292 | + | 1.11559i | ||||
\(489\) | 7.56317 | + | 280.417i | 0.0154666 | + | 0.573450i | ||||
\(490\) | 112.170 | + | 9.85676i | 0.228918 | + | 0.0201158i | ||||
\(491\) | −337.746 | + | 337.746i | −0.687874 | + | 0.687874i | −0.961762 | − | 0.273888i | \(-0.911690\pi\) |
0.273888 | + | 0.961762i | \(0.411690\pi\) | |||||||
\(492\) | 321.975 | + | 435.105i | 0.654420 | + | 0.884360i | ||||
\(493\) | 122.980 | − | 122.980i | 0.249453 | − | 0.249453i | ||||
\(494\) | 62.9380 | − | 52.7703i | 0.127405 | − | 0.106823i | ||||
\(495\) | −743.486 | + | 40.1345i | −1.50199 | + | 0.0810799i | ||||
\(496\) | 118.860 | + | 43.4673i | 0.239637 | + | 0.0876357i | ||||
\(497\) | 282.026i | 0.567457i | ||||||||
\(498\) | −199.944 | − | 225.812i | −0.401494 | − | 0.453438i | ||||
\(499\) | −515.289 | + | 515.289i | −1.03264 | + | 1.03264i | −0.0331940 | + | 0.999449i | \(0.510568\pi\) |
−0.999449 | + | 0.0331940i | \(0.989432\pi\) | |||||||
\(500\) | 439.011 | − | 306.900i | 0.878022 | − | 0.613799i | ||||
\(501\) | 327.473 | − | 345.627i | 0.653639 | − | 0.689875i | ||||
\(502\) | 476.805 | + | 41.8985i | 0.949810 | + | 0.0834631i | ||||
\(503\) | −196.781 | −0.391215 | −0.195607 | − | 0.980682i | \(-0.562668\pi\) | ||||
−0.195607 | + | 0.980682i | \(0.562668\pi\) | |||||||
\(504\) | 364.608 | − | 236.999i | 0.723429 | − | 0.470236i | ||||
\(505\) | 661.576i | 1.31005i | ||||||||
\(506\) | 1247.75 | + | 109.644i | 2.46590 | + | 0.216687i | ||||
\(507\) | −189.905 | − | 179.930i | −0.374567 | − | 0.354892i | ||||
\(508\) | −65.3188 | + | 368.794i | −0.128580 | + | 0.725973i | ||||
\(509\) | 29.3054 | + | 29.3054i | 0.0575744 | + | 0.0575744i | 0.735308 | − | 0.677733i | \(-0.237038\pi\) |
−0.677733 | + | 0.735308i | \(0.737038\pi\) | |||||||
\(510\) | 78.6677 | + | 88.8455i | 0.154250 | + | 0.174207i | ||||
\(511\) | −587.988 | −1.15066 | ||||||||
\(512\) | 1.75962 | − | 511.997i | 0.00343675 | − | 0.999994i | ||||
\(513\) | −122.197 | + | 9.90664i | −0.238202 | + | 0.0193112i | ||||
\(514\) | −602.472 | + | 505.142i | −1.17212 | + | 0.982766i | ||||
\(515\) | −182.175 | − | 182.175i | −0.353739 | − | 0.353739i | ||||
\(516\) | −90.3139 | + | 604.391i | −0.175027 | + | 1.17130i | ||||
\(517\) | −66.2109 | − | 66.2109i | −0.128068 | − | 0.128068i | ||||
\(518\) | 341.104 | + | 29.9740i | 0.658501 | + | 0.0578648i | ||||
\(519\) | −326.546 | + | 8.80731i | −0.629182 | + | 0.0169698i | ||||
\(520\) | 162.348 | + | 281.940i | 0.312207 | + | 0.542193i | ||||
\(521\) | −770.641 | −1.47916 | −0.739578 | − | 0.673071i | \(-0.764975\pi\) | ||||
−0.739578 | + | 0.673071i | \(0.764975\pi\) | |||||||
\(522\) | −711.333 | − | 23.9946i | −1.36271 | − | 0.0459667i | ||||
\(523\) | 258.725 | + | 258.725i | 0.494694 | + | 0.494694i | 0.909782 | − | 0.415087i | \(-0.136249\pi\) |
−0.415087 | + | 0.909782i | \(0.636249\pi\) | |||||||
\(524\) | 377.955 | − | 264.217i | 0.721288 | − | 0.504231i | ||||
\(525\) | 59.5815 | − | 62.8846i | 0.113489 | − | 0.119780i | ||||
\(526\) | −231.125 | − | 275.657i | −0.439400 | − | 0.524063i | ||||
\(527\) | 34.7917i | 0.0660183i | ||||||||
\(528\) | −280.842 | + | 837.282i | −0.531899 | + | 1.58576i | ||||
\(529\) | 629.695 | 1.19035 | ||||||||
\(530\) | 202.408 | − | 169.709i | 0.381902 | − | 0.320205i | ||||
\(531\) | 370.031 | + | 332.127i | 0.696857 | + | 0.625475i | ||||
\(532\) | 89.9082 | − | 62.8521i | 0.169000 | − | 0.118143i | ||||
\(533\) | −288.466 | + | 288.466i | −0.541212 | + | 0.541212i | ||||
\(534\) | 417.308 | + | 25.3549i | 0.781475 | + | 0.0474811i | ||||
\(535\) | 587.878i | 1.09884i | ||||||||
\(536\) | 132.086 | − | 490.702i | 0.246429 | − | 0.915489i | ||||
\(537\) | −429.878 | + | 11.5943i | −0.800517 | + | 0.0215909i | ||||
\(538\) | 71.9322 | − | 818.589i | 0.133703 | − | 1.52154i | ||||
\(539\) | −162.894 | + | 162.894i | −0.302214 | + | 0.302214i | ||||
\(540\) | 45.7766 | − | 483.466i | 0.0847715 | − | 0.895307i | ||||
\(541\) | −122.667 | + | 122.667i | −0.226742 | + | 0.226742i | −0.811330 | − | 0.584588i | \(-0.801256\pi\) |
0.584588 | + | 0.811330i | \(0.301256\pi\) | |||||||
\(542\) | −638.062 | − | 761.003i | −1.17724 | − | 1.40406i | ||||
\(543\) | 900.694 | − | 24.2927i | 1.65874 | − | 0.0447380i | ||||
\(544\) | 132.355 | − | 47.8872i | 0.243299 | − | 0.0880279i | ||||
\(545\) | 479.316i | 0.879479i | ||||||||
\(546\) | 217.272 | + | 245.383i | 0.397935 | + | 0.449419i | ||||
\(547\) | 334.075 | − | 334.075i | 0.610740 | − | 0.610740i | −0.332399 | − | 0.943139i | \(-0.607858\pi\) |
0.943139 | + | 0.332399i | \(0.107858\pi\) | |||||||
\(548\) | 17.1268 | − | 96.6991i | 0.0312533 | − | 0.176458i | ||||
\(549\) | 472.013 | + | 423.663i | 0.859768 | + | 0.771699i | ||||
\(550\) | −15.3998 | + | 175.250i | −0.0279996 | + | 0.318636i | ||||
\(551\) | −179.543 | −0.325849 | ||||||||
\(552\) | −191.000 | + | 794.309i | −0.346015 | + | 1.43897i | ||||
\(553\) | − | 242.581i | − | 0.438663i | ||||||
\(554\) | −23.0283 | + | 262.062i | −0.0415674 | + | 0.473037i | ||||
\(555\) | 263.002 | − | 277.582i | 0.473878 | − | 0.500148i | ||||
\(556\) | −14.2296 | + | 9.94748i | −0.0255928 | + | 0.0178912i | ||||
\(557\) | 159.480 | + | 159.480i | 0.286320 | + | 0.286320i | 0.835623 | − | 0.549303i | \(-0.185107\pi\) |
−0.549303 | + | 0.835623i | \(0.685107\pi\) | |||||||
\(558\) | 104.014 | − | 97.2257i | 0.186405 | − | 0.174240i | ||||
\(559\) | −460.576 | −0.823929 | ||||||||
\(560\) | 183.040 | + | 394.100i | 0.326856 | + | 0.703750i | ||||
\(561\) | −242.688 | + | 6.54557i | −0.432599 | + | 0.0116677i | ||||
\(562\) | 386.621 | + | 461.115i | 0.687938 | + | 0.820489i | ||||
\(563\) | −341.226 | − | 341.226i | −0.606086 | − | 0.606086i | 0.335835 | − | 0.941921i | \(-0.390982\pi\) |
−0.941921 | + | 0.335835i | \(0.890982\pi\) | |||||||
\(564\) | 49.0926 | − | 36.3282i | 0.0870436 | − | 0.0644117i | ||||
\(565\) | −356.918 | − | 356.918i | −0.631713 | − | 0.631713i | ||||
\(566\) | 25.1227 | − | 285.897i | 0.0443865 | − | 0.505118i | ||||
\(567\) | −52.6646 | − | 486.380i | −0.0928828 | − | 0.857813i | ||||
\(568\) | 323.724 | − | 186.408i | 0.569937 | − | 0.328183i | ||||
\(569\) | −882.975 | −1.55180 | −0.775901 | − | 0.630855i | \(-0.782704\pi\) | ||||
−0.775901 | + | 0.630855i | \(0.782704\pi\) | |||||||
\(570\) | 7.42947 | − | 122.279i | 0.0130342 | − | 0.214525i | ||||
\(571\) | 370.112 | + | 370.112i | 0.648181 | + | 0.648181i | 0.952553 | − | 0.304372i | \(-0.0984466\pi\) |
−0.304372 | + | 0.952553i | \(0.598447\pi\) | |||||||
\(572\) | −655.397 | − | 116.080i | −1.14580 | − | 0.202938i | ||||
\(573\) | −79.1204 | − | 74.9645i | −0.138081 | − | 0.130828i | ||||
\(574\) | −417.528 | + | 350.076i | −0.727401 | + | 0.609889i | ||||
\(575\) | 162.742i | 0.283030i | ||||||||
\(576\) | −513.031 | − | 261.869i | −0.890679 | − | 0.454634i | ||||
\(577\) | −698.607 | −1.21076 | −0.605378 | − | 0.795938i | \(-0.706978\pi\) | ||||
−0.605378 | + | 0.795938i | \(0.706978\pi\) | |||||||
\(578\) | −346.502 | − | 413.265i | −0.599484 | − | 0.714992i | ||||
\(579\) | −97.2025 | + | 102.591i | −0.167880 | + | 0.177187i | ||||
\(580\) | 124.032 | − | 700.294i | 0.213849 | − | 1.20740i | ||||
\(581\) | 214.685 | − | 214.685i | 0.369509 | − | 0.369509i | ||||
\(582\) | 365.889 | + | 22.2308i | 0.628675 | + | 0.0381972i | ||||
\(583\) | 540.389i | 0.926911i | ||||||||
\(584\) | 388.636 | + | 674.922i | 0.665473 | + | 1.15569i | ||||
\(585\) | 365.477 | − | 19.7290i | 0.624747 | − | 0.0337248i | ||||
\(586\) | 904.734 | + | 79.5021i | 1.54392 | + | 0.135669i | ||||
\(587\) | 196.072 | − | 196.072i | 0.334024 | − | 0.334024i | −0.520088 | − | 0.854112i | \(-0.674101\pi\) |
0.854112 | + | 0.520088i | \(0.174101\pi\) | |||||||
\(588\) | −89.3754 | − | 120.779i | −0.151999 | − | 0.205406i | ||||
\(589\) | 25.3968 | − | 25.3968i | 0.0431185 | − | 0.0431185i | ||||
\(590\) | −380.726 | + | 319.219i | −0.645298 | + | 0.541050i | ||||
\(591\) | −3.69222 | − | 136.895i | −0.00624742 | − | 0.231633i | ||||
\(592\) | −191.050 | − | 411.348i | −0.322720 | − | 0.694844i | ||||
\(593\) | − | 774.011i | − | 1.30525i | −0.757683 | − | 0.652623i | \(-0.773669\pi\) | ||
0.757683 | − | 0.652623i | \(-0.226331\pi\) | |||||||
\(594\) | 697.762 | + | 707.253i | 1.17468 | + | 1.19066i | ||||
\(595\) | −84.4675 | + | 84.4675i | −0.141962 | + | 0.141962i | ||||
\(596\) | 19.0040 | + | 27.1847i | 0.0318859 | + | 0.0456118i | ||||
\(597\) | 257.368 | + | 243.849i | 0.431102 | + | 0.408458i | ||||
\(598\) | −613.357 | − | 53.8978i | −1.02568 | − | 0.0901301i | ||||
\(599\) | 783.533 | 1.30807 | 0.654034 | − | 0.756465i | \(-0.273075\pi\) | ||||
0.654034 | + | 0.756465i | \(0.273075\pi\) | |||||||
\(600\) | −111.563 | − | 26.8265i | −0.185939 | − | 0.0447109i | ||||
\(601\) | − | 797.210i | − | 1.32647i | −0.748410 | − | 0.663236i | \(-0.769182\pi\) | ||
0.748410 | − | 0.663236i | \(-0.230818\pi\) | |||||||
\(602\) | −612.793 | − | 53.8482i | −1.01793 | − | 0.0894489i | ||||
\(603\) | −425.448 | − | 381.868i | −0.705552 | − | 0.633280i | ||||
\(604\) | −707.235 | − | 125.262i | −1.17092 | − | 0.207387i | ||||
\(605\) | 691.565 | + | 691.565i | 1.14308 | + | 1.14308i | ||||
\(606\) | 660.925 | − | 585.212i | 1.09064 | − | 0.965696i | ||||
\(607\) | 433.576 | 0.714293 | 0.357146 | − | 0.934048i | \(-0.383750\pi\) | ||||
0.357146 | + | 0.934048i | \(0.383750\pi\) | |||||||
\(608\) | −131.571 | − | 61.6585i | −0.216399 | − | 0.101412i | ||||
\(609\) | −19.3167 | − | 716.197i | −0.0317186 | − | 1.17602i | ||||
\(610\) | −485.656 | + | 407.197i | −0.796157 | + | 0.667537i | ||||
\(611\) | 32.5475 | + | 32.5475i | 0.0532692 | + | 0.0532692i | ||||
\(612\) | 19.1708 | − | 157.180i | 0.0313249 | − | 0.256831i | ||||
\(613\) | −493.642 | − | 493.642i | −0.805289 | − | 0.805289i | 0.178628 | − | 0.983917i | \(-0.442834\pi\) |
−0.983917 | + | 0.178628i | \(0.942834\pi\) | |||||||
\(614\) | −265.494 | − | 23.3299i | −0.432401 | − | 0.0379966i | ||||
\(615\) | 16.4053 | + | 608.253i | 0.0266752 | + | 0.989029i | ||||
\(616\) | −858.428 | − | 231.070i | −1.39355 | − | 0.375113i | ||||
\(617\) | 685.069 | 1.11032 | 0.555161 | − | 0.831743i | \(-0.312657\pi\) | ||||
0.555161 | + | 0.831743i | \(0.312657\pi\) | |||||||
\(618\) | −20.8488 | + | 343.144i | −0.0337360 | + | 0.555248i | ||||
\(619\) | −379.995 | − | 379.995i | −0.613885 | − | 0.613885i | 0.330071 | − | 0.943956i | \(-0.392927\pi\) |
−0.943956 | + | 0.330071i | \(0.892927\pi\) | |||||||
\(620\) | 81.5136 | + | 116.603i | 0.131474 | + | 0.188069i | ||||
\(621\) | 700.269 | + | 595.241i | 1.12765 | + | 0.958520i | ||||
\(622\) | 315.737 | + | 376.573i | 0.507616 | + | 0.605422i | ||||
\(623\) | 420.850i | 0.675521i | ||||||||
\(624\) | 138.054 | − | 411.585i | 0.221241 | − | 0.659591i | ||||
\(625\) | 482.618 | 0.772189 | ||||||||
\(626\) | −542.290 | + | 454.683i | −0.866278 | + | 0.726330i | ||||
\(627\) | 181.932 | + | 172.376i | 0.290163 | + | 0.274922i | ||||
\(628\) | −48.1917 | − | 68.9369i | −0.0767384 | − | 0.109772i | ||||
\(629\) | 88.1642 | − | 88.1642i | 0.140166 | − | 0.140166i | ||||
\(630\) | 488.571 | + | 16.4804i | 0.775509 | + | 0.0261594i | ||||
\(631\) | − | 489.285i | − | 0.775412i | −0.921783 | − | 0.387706i | \(-0.873268\pi\) | ||
0.921783 | − | 0.387706i | \(-0.126732\pi\) | |||||||
\(632\) | −278.446 | + | 160.336i | −0.440580 | + | 0.253696i | ||||
\(633\) | 7.30802 | + | 270.957i | 0.0115451 | + | 0.428052i | ||||
\(634\) | 57.9418 | − | 659.378i | 0.0913908 | − | 1.04003i | ||||
\(635\) | −297.712 | + | 297.712i | −0.468838 | + | 0.468838i | ||||
\(636\) | −348.586 | − | 52.0891i | −0.548092 | − | 0.0819011i | ||||
\(637\) | 80.0739 | − | 80.0739i | 0.125705 | − | 0.125705i | ||||
\(638\) | 934.823 | + | 1114.94i | 1.46524 | + | 1.74756i | ||||
\(639\) | −22.6529 | − | 419.641i | −0.0354505 | − | 0.656716i | ||||
\(640\) | 331.386 | − | 470.587i | 0.517791 | − | 0.735291i | ||||
\(641\) | − | 492.158i | − | 0.767797i | −0.923375 | − | 0.383898i | \(-0.874581\pi\) | ||
0.923375 | − | 0.383898i | \(-0.125419\pi\) | |||||||
\(642\) | 587.299 | − | 520.020i | 0.914796 | − | 0.810001i | ||||
\(643\) | −169.985 | + | 169.985i | −0.264362 | + | 0.264362i | −0.826823 | − | 0.562462i | \(-0.809854\pi\) |
0.562462 | + | 0.826823i | \(0.309854\pi\) | |||||||
\(644\) | −809.766 | − | 143.421i | −1.25740 | − | 0.222704i | ||||
\(645\) | −472.483 | + | 498.677i | −0.732532 | + | 0.773142i | ||||
\(646\) | 3.49656 | − | 39.7908i | 0.00541263 | − | 0.0615957i | ||||
\(647\) | 1003.50 | 1.55101 | 0.775503 | − | 0.631343i | \(-0.217496\pi\) | ||||
0.775503 | + | 0.631343i | \(0.217496\pi\) | |||||||
\(648\) | −523.483 | + | 381.929i | −0.807844 | + | 0.589397i | ||||
\(649\) | − | 1016.46i | − | 1.56620i | ||||||
\(650\) | 7.57011 | − | 86.1479i | 0.0116463 | − | 0.132535i | ||||
\(651\) | 104.040 | + | 98.5754i | 0.159816 | + | 0.151422i | ||||
\(652\) | 214.298 | + | 306.547i | 0.328678 | + | 0.470165i | ||||
\(653\) | −407.090 | − | 407.090i | −0.623415 | − | 0.623415i | 0.322988 | − | 0.946403i | \(-0.395313\pi\) |
−0.946403 | + | 0.322988i | \(0.895313\pi\) | |||||||
\(654\) | 478.845 | − | 423.990i | 0.732178 | − | 0.648303i | ||||
\(655\) | 518.398 | 0.791448 | ||||||||
\(656\) | 677.805 | + | 247.874i | 1.03324 | + | 0.377856i | ||||
\(657\) | 874.897 | − | 47.2283i | 1.33165 | − | 0.0718848i | ||||
\(658\) | 39.4988 | + | 47.1094i | 0.0600286 | + | 0.0715948i | ||||
\(659\) | −635.355 | − | 635.355i | −0.964119 | − | 0.964119i | 0.0352587 | − | 0.999378i | \(-0.488774\pi\) |
−0.999378 | + | 0.0352587i | \(0.988774\pi\) | |||||||
\(660\) | −798.023 | + | 590.532i | −1.20913 | + | 0.894745i | ||||
\(661\) | −196.325 | − | 196.325i | −0.297013 | − | 0.297013i | 0.542830 | − | 0.839843i | \(-0.317353\pi\) |
−0.839843 | + | 0.542830i | \(0.817353\pi\) | |||||||
\(662\) | −8.05637 | + | 91.6815i | −0.0121697 | + | 0.138492i | ||||
\(663\) | 119.299 | − | 3.21762i | 0.179937 | − | 0.00485312i | ||||
\(664\) | −388.325 | − | 104.528i | −0.584826 | − | 0.157422i | ||||
\(665\) | 123.317 | 0.185439 | ||||||||
\(666\) | −509.953 | − | 17.2017i | −0.765696 | − | 0.0258284i | ||||
\(667\) | 951.737 | + | 951.737i | 1.42689 | + | 1.42689i | ||||
\(668\) | 110.715 | − | 625.107i | 0.165742 | − | 0.935788i | ||||
\(669\) | 88.4944 | − | 93.4003i | 0.132279 | − | 0.139612i | ||||
\(670\) | 437.745 | − | 367.027i | 0.653350 | − | 0.547801i | ||||
\(671\) | − | 1296.60i | − | 1.93234i | ||||||
\(672\) | 231.800 | − | 531.469i | 0.344941 | − | 0.790877i | ||||
\(673\) | −489.653 | −0.727568 | −0.363784 | − | 0.931483i | \(-0.618515\pi\) | ||||
−0.363784 | + | 0.931483i | \(0.618515\pi\) | |||||||
\(674\) | 238.459 | + | 284.405i | 0.353797 | + | 0.421966i | ||||
\(675\) | −83.6034 | + | 98.3549i | −0.123857 | + | 0.145711i | ||||
\(676\) | −343.466 | − | 60.8327i | −0.508085 | − | 0.0899893i | ||||
\(677\) | 832.940 | − | 832.940i | 1.23034 | − | 1.23034i | 0.266507 | − | 0.963833i | \(-0.414131\pi\) |
0.963833 | − | 0.266507i | \(-0.0858695\pi\) | |||||||
\(678\) | −40.8470 | + | 672.286i | −0.0602463 | + | 0.991573i | ||||
\(679\) | 368.994i | 0.543438i | ||||||||
\(680\) | 152.786 | + | 41.1265i | 0.224685 | + | 0.0604801i | ||||
\(681\) | −97.5600 | + | 2.63131i | −0.143260 | + | 0.00386388i | ||||
\(682\) | −289.944 | − | 25.4784i | −0.425138 | − | 0.0373584i | ||||
\(683\) | −773.804 | + | 773.804i | −1.13295 | + | 1.13295i | −0.143264 | + | 0.989684i | \(0.545760\pi\) |
−0.989684 | + | 0.143264i | \(0.954240\pi\) | |||||||
\(684\) | −128.731 | + | 100.743i | −0.188203 | + | 0.147284i | ||||
\(685\) | 78.0611 | − | 78.0611i | 0.113958 | − | 0.113958i | ||||
\(686\) | 569.466 | − | 477.468i | 0.830125 | − | 0.696018i | ||||
\(687\) | −1023.30 | + | 27.5996i | −1.48952 | + | 0.0401741i | ||||
\(688\) | 343.222 | + | 738.987i | 0.498869 | + | 1.07411i | ||||
\(689\) | − | 265.640i | − | 0.385545i | ||||||
\(690\) | −687.571 | + | 608.805i | −0.996479 | + | 0.882326i | ||||
\(691\) | −840.306 | + | 840.306i | −1.21607 | + | 1.21607i | −0.247077 | + | 0.968996i | \(0.579470\pi\) |
−0.968996 | + | 0.247077i | \(0.920530\pi\) | |||||||
\(692\) | −356.974 | + | 249.550i | −0.515859 | + | 0.360622i | ||||
\(693\) | −668.035 | + | 744.274i | −0.963975 | + | 1.07399i | ||||
\(694\) | −146.397 | − | 12.8644i | −0.210946 | − | 0.0185366i | ||||
\(695\) | −19.5171 | −0.0280822 | ||||||||
\(696\) | −809.320 | + | 495.551i | −1.16282 | + | 0.711998i | ||||
\(697\) | 198.401i | 0.284650i | ||||||||
\(698\) | −1067.07 | − | 93.7668i | −1.52875 | − | 0.134336i | ||||
\(699\) | −495.845 | + | 523.334i | −0.709364 | + | 0.748689i | ||||
\(700\) | 20.1440 | − | 113.734i | 0.0287771 | − | 0.162477i | ||||
\(701\) | −529.432 | − | 529.432i | −0.755253 | − | 0.755253i | 0.220201 | − | 0.975454i | \(-0.429329\pi\) |
−0.975454 | + | 0.220201i | \(0.929329\pi\) | |||||||
\(702\) | −343.000 | − | 347.666i | −0.488605 | − | 0.495250i | ||||
\(703\) | −128.714 | −0.183092 | ||||||||
\(704\) | 302.153 | + | 1138.08i | 0.429195 | + | 1.61659i | ||||
\(705\) | 68.6288 | − | 1.85100i | 0.0973458 | − | 0.00262553i | ||||
\(706\) | −500.287 | + | 419.465i | −0.708622 | + | 0.594144i | ||||
\(707\) | 628.357 | + | 628.357i | 0.888765 | + | 0.888765i | ||||
\(708\) | 655.685 | + | 97.9787i | 0.926109 | + | 0.138388i | ||||
\(709\) | −56.2182 | − | 56.2182i | −0.0792923 | − | 0.0792923i | 0.666348 | − | 0.745641i | \(-0.267856\pi\) |
−0.745641 | + | 0.666348i | \(0.767856\pi\) | |||||||
\(710\) | 418.319 | + | 36.7591i | 0.589181 | + | 0.0517734i | ||||
\(711\) | 19.4845 | + | 360.948i | 0.0274044 | + | 0.507663i | ||||
\(712\) | 483.073 | − | 278.165i | 0.678473 | − | 0.390681i | ||||
\(713\) | −269.251 | −0.377631 | ||||||||
\(714\) | 159.102 | + | 9.66677i | 0.222832 | + | 0.0135389i | ||||
\(715\) | −529.074 | − | 529.074i | −0.739964 | − | 0.739964i | ||||
\(716\) | −469.936 | + | 328.518i | −0.656335 | + | 0.458824i | ||||
\(717\) | 475.121 | + | 450.165i | 0.662651 | + | 0.627845i | ||||
\(718\) | 327.578 | + | 390.696i | 0.456237 | + | 0.544144i | ||||
\(719\) | − | 966.944i | − | 1.34485i | −0.740167 | − | 0.672423i | \(-0.765254\pi\) | ||
0.740167 | − | 0.672423i | \(-0.234746\pi\) | |||||||
\(720\) | −304.009 | − | 571.700i | −0.422234 | − | 0.794027i | ||||
\(721\) | −346.056 | −0.479967 | ||||||||
\(722\) | 521.663 | − | 437.388i | 0.722525 | − | 0.605800i | ||||
\(723\) | 183.558 | − | 193.734i | 0.253884 | − | 0.267959i | ||||
\(724\) | 984.624 | − | 688.321i | 1.35998 | − | 0.950720i | ||||
\(725\) | −133.674 | + | 133.674i | −0.184378 | + | 0.184378i | ||||
\(726\) | 79.1452 | − | 1302.62i | 0.109015 | − | 1.79425i | ||||
\(727\) | 1338.18i | 1.84069i | 0.391110 | + | 0.920344i | \(0.372091\pi\) | ||||
−0.391110 | + | 0.920344i | \(0.627909\pi\) | |||||||
\(728\) | 421.979 | + | 113.587i | 0.579642 | + | 0.156027i | ||||
\(729\) | 117.429 | + | 719.480i | 0.161083 | + | 0.986941i | ||||
\(730\) | −76.6380 | + | 872.140i | −0.104984 | + | 1.19471i | ||||
\(731\) | −158.387 | + | 158.387i | −0.216672 | + | 0.216672i | ||||
\(732\) | 836.394 | + | 124.982i | 1.14261 | + | 0.170740i | ||||
\(733\) | 757.046 | − | 757.046i | 1.03280 | − | 1.03280i | 0.0333615 | − | 0.999443i | \(-0.489379\pi\) |
0.999443 | − | 0.0333615i | \(-0.0106213\pi\) | |||||||
\(734\) | 159.656 | + | 190.418i | 0.217515 | + | 0.259426i | ||||
\(735\) | −4.55386 | − | 168.842i | −0.00619573 | − | 0.229717i | ||||
\(736\) | 370.596 | + | 1024.29i | 0.503528 | + | 1.39169i | ||||
\(737\) | 1168.69i | 1.58574i | ||||||||
\(738\) | 593.143 | − | 554.433i | 0.803716 | − | 0.751264i | ||||
\(739\) | 495.335 | − | 495.335i | 0.670278 | − | 0.670278i | −0.287502 | − | 0.957780i | \(-0.592825\pi\) |
0.957780 | + | 0.287502i | \(0.0928249\pi\) | |||||||
\(740\) | 88.9185 | − | 502.039i | 0.120160 | − | 0.678432i | ||||
\(741\) | −89.4328 | − | 84.7353i | −0.120692 | − | 0.114353i | ||||
\(742\) | 31.0573 | − | 353.432i | 0.0418562 | − | 0.476324i | ||||
\(743\) | 1421.01 | 1.91253 | 0.956266 | − | 0.292500i | \(-0.0944872\pi\) | ||||
0.956266 | + | 0.292500i | \(0.0944872\pi\) | |||||||
\(744\) | 44.3835 | − | 184.577i | 0.0596552 | − | 0.248087i | ||||
\(745\) | 37.2861i | 0.0500485i | ||||||||
\(746\) | −49.9323 | + | 568.230i | −0.0669334 | + | 0.761702i | ||||
\(747\) | −302.197 | + | 336.685i | −0.404547 | + | 0.450716i | ||||
\(748\) | −265.302 | + | 185.465i | −0.354682 | + | 0.247948i | ||||
\(749\) | 558.359 | + | 558.359i | 0.745473 | + | 0.745473i | ||||
\(750\) | −532.638 | − | 601.550i | −0.710185 | − | 0.802066i | ||||
\(751\) | −143.509 | −0.191090 | −0.0955452 | − | 0.995425i | \(-0.530459\pi\) | ||||
−0.0955452 | + | 0.995425i | \(0.530459\pi\) | |||||||
\(752\) | 27.9674 | − | 76.4762i | 0.0371907 | − | 0.101697i | ||||
\(753\) | −19.3572 | − | 717.702i | −0.0257068 | − | 0.953123i | ||||
\(754\) | −459.533 | − | 548.075i | −0.609460 | − | 0.726890i | ||||
\(755\) | −570.921 | − | 570.921i | −0.756187 | − | 0.756187i | ||||
\(756\) | −415.712 | − | 502.668i | −0.549884 | − | 0.664905i | ||||
\(757\) | 651.883 | + | 651.883i | 0.861140 | + | 0.861140i | 0.991471 | − | 0.130331i | \(-0.0416040\pi\) |
−0.130331 | + | 0.991471i | \(0.541604\pi\) | |||||||
\(758\) | −56.3367 | + | 641.112i | −0.0743229 | + | 0.845794i | ||||
\(759\) | −50.6558 | − | 1878.15i | −0.0667402 | − | 2.47450i | ||||
\(760\) | −81.5076 | − | 141.550i | −0.107247 | − | 0.186249i | ||||
\(761\) | −434.623 | −0.571122 | −0.285561 | − | 0.958361i | \(-0.592180\pi\) | ||||
−0.285561 | + | 0.958361i | \(0.592180\pi\) | |||||||
\(762\) | 560.767 | + | 34.0712i | 0.735914 | + | 0.0447129i | ||||
\(763\) | 455.249 | + | 455.249i | 0.596656 | + | 0.596656i | ||||
\(764\) | −143.098 | − | 25.3448i | −0.187301 | − | 0.0331738i | ||||
\(765\) | 118.899 |