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 | 29.3 | ||
Root | \(-1.28499 - 1.53258i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 48.29 |
Dual form | 48.3.i.b.5.3 |
$q$-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 \(\left(\mathbb{Z}/48\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(31\) | \(37\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 | 0.313634 | − | 0.949544i | \(-0.398453\pi\) |
−0.949544 | + | 0.313634i | \(0.898453\pi\) | |||||||
\(6\) | 5.98896 | − | 0.363879i | 0.998159 | − | 0.0606465i | ||||
\(7\) | − | 6.03979i | − | 0.862827i | −0.902154 | − | 0.431414i | \(-0.858015\pi\) | ||
0.902154 | − | 0.431414i | \(-0.141985\pi\) | |||||||
\(8\) | 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 | −0.979042 | − | 0.203657i | \(-0.934717\pi\) |
−0.203657 | − | 0.979042i | \(-0.565283\pi\) | |||||||
\(12\) | −7.13808 | + | 9.64613i | −0.594840 | + | 0.803844i | ||||
\(13\) | 6.39520 | + | 6.39520i | 0.491939 | + | 0.491939i | 0.908917 | − | 0.416978i | \(-0.136911\pi\) |
−0.416978 | + | 0.908917i | \(0.636911\pi\) | |||||||
\(14\) | 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 | \(0.0412945\pi\) | ||||
−0.991597 | + | 0.129367i | \(0.958705\pi\) | |||||||
\(18\) | −13.1498 | − | 12.2916i | −0.730543 | − | 0.682866i | ||||
\(19\) | −3.21075 | − | 3.21075i | −0.168987 | − | 0.168987i | 0.617547 | − | 0.786534i | \(-0.288126\pi\) |
−0.786534 | + | 0.617547i | \(0.788126\pi\) | |||||||
\(20\) | −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 | −0.0352510 | − | 0.999378i | \(-0.511223\pi\) |
0.999378 | + | 0.0352510i | \(0.0112231\pi\) | |||||||
\(30\) | −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 | −0.382301 | − | 0.924038i | \(-0.624868\pi\) |
0.924038 | + | 0.382301i | \(0.124868\pi\) | |||||||
\(38\) | 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 | −0.988520 | − | 0.151089i | \(-0.951722\pi\) |
0.151089 | + | 0.988520i | \(0.451722\pi\) | |||||||
\(44\) | −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 | \(-0.982758\pi\) | ||
0.998533 | − | 0.0541421i | \(-0.0172424\pi\) | |||||||
\(48\) | 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 | 0.875351 | − | 0.483488i | \(-0.160630\pi\) |
−0.483488 | + | 0.875351i | \(0.660630\pi\) | |||||||
\(54\) | 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 | 0.293753 | − | 0.955881i | \(-0.405096\pi\) |
−0.955881 | + | 0.293753i | \(0.905096\pi\) | |||||||
\(60\) | 53.3662 | − | 7.97449i | 0.889436 | − | 0.132908i | ||||
\(61\) | −49.8322 | − | 49.8322i | −0.816921 | − | 0.816921i | 0.168739 | − | 0.985661i | \(-0.446030\pi\) |
−0.985661 | + | 0.168739i | \(0.946030\pi\) | |||||||
\(62\) | 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 | 0.957806 | − | 0.287416i | \(-0.0927961\pi\) |
−0.287416 | + | 0.957806i | \(0.592796\pi\) | |||||||
\(68\) | 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 | \(-0.767665\pi\) | ||
0.745240 | − | 0.666797i | \(-0.232335\pi\) | |||||||
\(74\) | 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 | −0.888033 | − | 0.459779i | \(-0.847929\pi\) |
0.459779 | + | 0.888033i | \(0.347929\pi\) | |||||||
\(84\) | 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 | 0.999534 | + | 0.0305280i | \(0.00971886\pi\) |
0.0305280 | + | 0.999534i | \(0.490281\pi\) | |||||||
\(102\) | 1.60051 | + | 26.3423i | 0.0156913 | + | 0.258258i | ||||
\(103\) | − | 57.2961i | − | 0.556272i | −0.960542 | − | 0.278136i | \(-0.910283\pi\) | ||
0.960542 | − | 0.278136i | \(-0.0897167\pi\) | |||||||
\(104\) | 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 | 0.991799 | − | 0.127810i | \(-0.0407947\pi\) |
−0.127810 | + | 0.991799i | \(0.540795\pi\) | |||||||
\(108\) | −83.2261 | − | 68.8289i | −0.770612 | − | 0.637305i | ||||
\(109\) | 75.3749 | + | 75.3749i | 0.691513 | + | 0.691513i | 0.962565 | − | 0.271052i | \(-0.0873714\pi\) |
−0.271052 | + | 0.962565i | \(0.587371\pi\) | |||||||
\(110\) | −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 | \(-0.834545\pi\) | ||
0.867922 | − | 0.496701i | \(-0.165455\pi\) | |||||||
\(114\) | −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 | −0.946118 | − | 0.323822i | \(-0.895032\pi\) |
0.323822 | + | 0.946118i | \(0.395032\pi\) | |||||||
\(132\) | 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 | −0.695980 | − | 0.718061i | \(-0.745030\pi\) |
0.718061 | + | 0.695980i | \(0.245030\pi\) | |||||||
\(140\) | 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 | 0.726509 | − | 0.687157i | \(-0.241142\pi\) |
−0.687157 | + | 0.726509i | \(0.741142\pi\) | |||||||
\(150\) | −1.73969 | − | 28.6330i | −0.0115980 | − | 0.190887i | ||||
\(151\) | − | 179.561i | − | 1.18914i | −0.804043 | − | 0.594571i | \(-0.797322\pi\) | ||
0.804043 | − | 0.594571i | \(-0.202678\pi\) | |||||||
\(152\) | −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 | 0.658166 | − | 0.752873i | \(-0.271332\pi\) |
−0.752873 | + | 0.658166i | \(0.771332\pi\) | |||||||
\(158\) | 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 | 0.880214 | − | 0.474577i | \(-0.157399\pi\) |
−0.474577 | + | 0.880214i | \(0.657399\pi\) | |||||||
\(164\) | 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 | −0.448648 | − | 0.893709i | \(-0.648094\pi\) |
0.893709 | + | 0.448648i | \(0.148094\pi\) | |||||||
\(174\) | 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 | −0.364821 | − | 0.931078i | \(-0.618870\pi\) |
0.931078 | + | 0.364821i | \(0.118870\pi\) | |||||||
\(180\) | −127.480 | − | 99.7636i | −0.708221 | − | 0.554242i | ||||
\(181\) | −212.373 | + | 212.373i | −1.17333 | + | 1.17333i | −0.191920 | + | 0.981411i | \(0.561471\pi\) |
−0.981411 | + | 0.191920i | \(0.938529\pi\) | |||||||
\(182\) | 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 | \(-0.969680\pi\) | ||
0.995467 | − | 0.0951083i | \(-0.0303197\pi\) | |||||||
\(192\) | 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 | 0.620420 | − | 0.784269i | \(-0.286962\pi\) |
−0.784269 | + | 0.620420i | \(0.786962\pi\) | |||||||
\(198\) | 11.1647 | + | 330.984i | 0.0563876 | + | 1.67164i | ||||
\(199\) | 118.181i | 0.593874i | 0.954897 | + | 0.296937i | \(0.0959651\pi\) | ||||
−0.954897 | + | 0.296937i | \(0.904035\pi\) | |||||||
\(200\) | 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 | 0.842104 | − | 0.539315i | \(-0.181317\pi\) |
−0.539315 | + | 0.842104i | \(0.681317\pi\) | |||||||
\(212\) | 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 | −0.654621 | − | 0.755958i | \(-0.727172\pi\) |
0.755958 | + | 0.654621i | \(0.227172\pi\) | |||||||
\(228\) | 53.8898 | − | 8.05273i | 0.236359 | − | 0.0353190i | ||||
\(229\) | 241.282 | − | 241.282i | 1.05363 | − | 1.05363i | 0.0551571 | − | 0.998478i | \(-0.482434\pi\) |
0.998478 | − | 0.0551571i | \(-0.0175660\pi\) | |||||||
\(230\) | 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 | \(0.150870\pi\) | ||||
−0.889762 | + | 0.456425i | \(0.849130\pi\) | |||||||
\(240\) | −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 | 0.284478 | − | 0.958683i | \(-0.408180\pi\) |
−0.958683 | + | 0.284478i | \(0.908180\pi\) | |||||||
\(252\) | −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 | \(0.277164\pi\) | ||||
−0.644262 | + | 0.764804i | \(0.722836\pi\) | |||||||
\(258\) | −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 | 0.0835324 | − | 0.996505i | \(-0.473380\pi\) |
0.996505 | − | 0.0835324i | \(-0.0266202\pi\) | |||||||
\(270\) | 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 | −0.854775 | − | 0.518999i | \(-0.826305\pi\) |
0.518999 | + | 0.854775i | \(0.326305\pi\) | |||||||
\(278\) | 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 | −0.504729 | − | 0.863278i | \(-0.668408\pi\) |
0.863278 | + | 0.504729i | \(0.168408\pi\) | |||||||
\(284\) | −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 | −0.994883 | − | 0.101037i | \(-0.967784\pi\) |
−0.101037 | − | 0.994883i | \(-0.532216\pi\) | |||||||
\(294\) | 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 | 0.843718 | − | 0.536786i | \(-0.180362\pi\) |
−0.536786 | + | 0.843718i | \(0.680362\pi\) | |||||||
\(308\) | 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 | \(0.191217\pi\) | ||||
−0.824925 | + | 0.565242i | \(0.808783\pi\) | |||||||
\(314\) | 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 | −0.233994 | − | 0.972238i | \(-0.575179\pi\) |
0.972238 | + | 0.233994i | \(0.0751795\pi\) | |||||||
\(318\) | 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 | −0.754549 | − | 0.656243i | \(-0.772144\pi\) |
0.656243 | + | 0.754549i | \(0.272144\pi\) | |||||||
\(332\) | 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 | 0.778000 | − | 0.628264i | \(-0.216234\pi\) |
−0.628264 | + | 0.778000i | \(0.716234\pi\) | |||||||
\(348\) | 70.1245 | + | 469.281i | 0.201507 | + | 1.34851i | ||||
\(349\) | 378.719 | + | 378.719i | 1.08515 | + | 1.08515i | 0.996020 | + | 0.0891344i | \(0.0284101\pi\) |
0.0891344 | + | 0.996020i | \(0.471590\pi\) | |||||||
\(350\) | 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 | \(0.153002\pi\) | ||||
−0.886686 | + | 0.462372i | \(0.846998\pi\) | |||||||
\(354\) | −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 | −0.923728 | − | 0.383048i | \(-0.874874\pi\) |
0.383048 | + | 0.923728i | \(0.374874\pi\) | |||||||
\(374\) | 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 | −0.940411 | − | 0.340040i | \(-0.889560\pi\) |
0.340040 | + | 0.940411i | \(0.389560\pi\) | |||||||
\(380\) | 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 | \(0.0538343\pi\) | ||||
−0.985732 | + | 0.168320i | \(0.946166\pi\) | |||||||
\(384\) | 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 | 0.831623 | − | 0.555340i | \(-0.187412\pi\) |
−0.555340 | + | 0.831623i | \(0.687412\pi\) | |||||||
\(390\) | −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 | 0.300591 | − | 0.953753i | \(-0.402816\pi\) |
−0.953753 | + | 0.300591i | \(0.902816\pi\) | |||||||
\(398\) | −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 | \(-0.862480\pi\) | ||
0.908117 | − | 0.418716i | \(-0.137520\pi\) | |||||||
\(402\) | 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 | \(-0.974148\pi\) | ||
0.996704 | − | 0.0811269i | \(-0.0258519\pi\) | |||||||
\(410\) | −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 | −0.107422 | − | 0.994214i | \(-0.534260\pi\) |
0.994214 | + | 0.107422i | \(0.0342596\pi\) | |||||||
\(420\) | −48.1642 | − | 322.320i | −0.114677 | − | 0.767430i | ||||
\(421\) | 487.629 | − | 487.629i | 1.15826 | − | 1.15826i | 0.173416 | − | 0.984849i | \(-0.444519\pi\) |
0.984849 | − | 0.173416i | \(-0.0554806\pi\) | |||||||
\(422\) | −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 | \(0.199649\pi\) | ||||
−0.809665 | + | 0.586892i | \(0.800351\pi\) | |||||||
\(432\) | −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 | \(0.0530895\pi\) | ||||
−0.986124 | + | 0.166013i | \(0.946911\pi\) | |||||||
\(440\) | −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 | 0.859983 | + | 0.510323i | \(0.170474\pi\) |
0.510323 | + | 0.859983i | \(0.329526\pi\) | |||||||
\(444\) | 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 | \(-0.931901\pi\) | ||
0.977202 | − | 0.212310i | \(-0.0680986\pi\) | |||||||
\(450\) | −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 | \(-0.955244\pi\) | ||
0.990131 | − | 0.140143i | \(-0.0447563\pi\) | |||||||
\(458\) | 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 | −0.782995 | − | 0.622028i | \(-0.786309\pi\) |
0.622028 | + | 0.782995i | \(0.286309\pi\) | |||||||
\(462\) | −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 | −0.256301 | − | 0.966597i | \(-0.582504\pi\) |
0.966597 | + | 0.256301i | \(0.0825038\pi\) | |||||||
\(468\) | 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 | \(-0.639126\pi\) | ||
0.423294 | − | 0.905992i | \(-0.360874\pi\) | |||||||
\(480\) | 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 | \(0.316015\pi\) | ||||
−0.546354 | + | 0.837554i | \(0.683985\pi\) | |||||||
\(488\) | −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 | 0.273888 | − | 0.961762i | \(-0.411690\pi\) |
−0.961762 | + | 0.273888i | \(0.911690\pi\) | |||||||
\(492\) | 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 | −0.999449 | − | 0.0331940i | \(-0.989432\pi\) |
−0.0331940 | − | 0.999449i | \(-0.510568\pi\) | |||||||
\(500\) | 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 | −0.677733 | − | 0.735308i | \(-0.737038\pi\) |
0.735308 | + | 0.677733i | \(0.237038\pi\) | |||||||
\(510\) | 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 | −0.415087 | − | 0.909782i | \(-0.636249\pi\) |
0.909782 | + | 0.415087i | \(0.136249\pi\) | |||||||
\(524\) | 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 | 0.584588 | − | 0.811330i | \(-0.301256\pi\) |
−0.811330 | + | 0.584588i | \(0.801256\pi\) | |||||||
\(542\) | −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 | 0.943139 | − | 0.332399i | \(-0.107858\pi\) |
−0.332399 | + | 0.943139i | \(0.607858\pi\) | |||||||
\(548\) | 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 | −0.549303 | − | 0.835623i | \(-0.685107\pi\) |
0.835623 | + | 0.549303i | \(0.185107\pi\) | |||||||
\(558\) | 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 | −0.941921 | − | 0.335835i | \(-0.890982\pi\) |
0.335835 | + | 0.941921i | \(0.390982\pi\) | |||||||
\(564\) | 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 | −0.304372 | − | 0.952553i | \(-0.598447\pi\) |
0.952553 | + | 0.304372i | \(0.0984466\pi\) | |||||||
\(572\) | −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 | 0.854112 | − | 0.520088i | \(-0.174101\pi\) |
−0.520088 | + | 0.854112i | \(0.674101\pi\) | |||||||
\(588\) | −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 | \(0.226331\pi\) | ||||
−0.757683 | + | 0.652623i | \(0.773669\pi\) | |||||||
\(594\) | 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 | \(0.230818\pi\) | ||||
−0.748410 | + | 0.663236i | \(0.769182\pi\) | |||||||
\(602\) | −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 | −0.983917 | − | 0.178628i | \(-0.942834\pi\) |
0.178628 | + | 0.983917i | \(0.442834\pi\) | |||||||
\(614\) | −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 | −0.943956 | − | 0.330071i | \(-0.892927\pi\) |
0.330071 | + | 0.943956i | \(0.392927\pi\) | |||||||
\(620\) | 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 | \(0.126732\pi\) | ||||
−0.921783 | + | 0.387706i | \(0.873268\pi\) | |||||||
\(632\) | −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 | \(0.125419\pi\) | ||||
−0.923375 | + | 0.383898i | \(0.874581\pi\) | |||||||
\(642\) | 587.299 | + | 520.020i | 0.914796 | + | 0.810001i | ||||
\(643\) | −169.985 | − | 169.985i | −0.264362 | − | 0.264362i | 0.562462 | − | 0.826823i | \(-0.309854\pi\) |
−0.826823 | + | 0.562462i | \(0.809854\pi\) | |||||||
\(644\) | −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 | −0.946403 | − | 0.322988i | \(-0.895313\pi\) |
0.322988 | + | 0.946403i | \(0.395313\pi\) | |||||||
\(654\) | 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 | −0.999378 | − | 0.0352587i | \(-0.988774\pi\) |
0.0352587 | + | 0.999378i | \(0.488774\pi\) | |||||||
\(660\) | −798.023 | − | 590.532i | −1.20913 | − | 0.894745i | ||||
\(661\) | −196.325 | + | 196.325i | −0.297013 | + | 0.297013i | −0.839843 | − | 0.542830i | \(-0.817353\pi\) |
0.542830 | + | 0.839843i | \(0.317353\pi\) | |||||||
\(662\) | −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 | 0.963833 | + | 0.266507i | \(0.0858695\pi\) |
0.266507 | + | 0.963833i | \(0.414131\pi\) | |||||||
\(678\) | −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 | −0.989684 | − | 0.143264i | \(-0.954240\pi\) |
−0.143264 | − | 0.989684i | \(-0.545760\pi\) | |||||||
\(684\) | −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 | −0.968996 | − | 0.247077i | \(-0.920530\pi\) |
−0.247077 | − | 0.968996i | \(-0.579470\pi\) | |||||||
\(692\) | −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 | −0.975454 | − | 0.220201i | \(-0.929329\pi\) |
0.220201 | + | 0.975454i | \(0.429329\pi\) | |||||||
\(702\) | −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 | −0.745641 | − | 0.666348i | \(-0.767856\pi\) |
0.666348 | + | 0.745641i | \(0.267856\pi\) | |||||||
\(710\) | 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 | \(0.234746\pi\) | ||||
−0.740167 | + | 0.672423i | \(0.765254\pi\) | |||||||
\(720\) | −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 | \(-0.627909\pi\) | ||
0.391110 | − | 0.920344i | \(-0.372091\pi\) | |||||||
\(728\) | 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 | 0.999443 | + | 0.0333615i | \(0.0106213\pi\) |
0.0333615 | + | 0.999443i | \(0.489379\pi\) | |||||||
\(734\) | 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 | 0.957780 | − | 0.287502i | \(-0.0928249\pi\) |
−0.287502 | + | 0.957780i | \(0.592825\pi\) | |||||||
\(740\) | 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 | −0.130331 | − | 0.991471i | \(-0.541604\pi\) |
0.991471 | + | 0.130331i | \(0.0416040\pi\) | |||||||
\(758\) | −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 | ||||