Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,4,Mod(62,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.62");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.o (of order \(6\), degree \(2\), not 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: | \(11.1513609911\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 62.6 | ||
Character | \(\chi\) | \(=\) | 189.62 |
Dual form | 189.4.o.a.125.6 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.59186 | − | 1.49641i | −0.916362 | − | 0.529062i | −0.0338893 | − | 0.999426i | \(-0.510789\pi\) |
−0.882473 | + | 0.470364i | \(0.844123\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.478502 | + | 0.828790i | 0.0598128 | + | 0.103599i | ||||
\(5\) | 7.80147 | + | 13.5125i | 0.697785 | + | 1.20860i | 0.969233 | + | 0.246146i | \(0.0791642\pi\) |
−0.271448 | + | 0.962453i | \(0.587502\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 17.7116 | + | 5.41283i | 0.956337 | + | 0.292265i | ||||
\(8\) | 21.0785i | 0.931545i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 46.6969i | − | 1.47669i | ||||||
\(11\) | −46.4700 | − | 26.8295i | −1.27375 | − | 0.735400i | −0.298058 | − | 0.954548i | \(-0.596339\pi\) |
−0.975692 | + | 0.219148i | \(0.929672\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −29.1434 | + | 16.8260i | −0.621764 | + | 0.358976i | −0.777555 | − | 0.628814i | \(-0.783541\pi\) |
0.155791 | + | 0.987790i | \(0.450207\pi\) | |||||||
\(14\) | −37.8062 | − | 40.5332i | −0.721725 | − | 0.773782i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 35.3701 | − | 61.2628i | 0.552658 | − | 0.957231i | ||||
\(17\) | −43.5488 | −0.621302 | −0.310651 | − | 0.950524i | \(-0.600547\pi\) | ||||
−0.310651 | + | 0.950524i | \(0.600547\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 32.2524i | 0.389432i | 0.980860 | + | 0.194716i | \(0.0623785\pi\) | ||||
−0.980860 | + | 0.194716i | \(0.937621\pi\) | |||||||
\(20\) | −7.46605 | + | 12.9316i | −0.0834729 | + | 0.144579i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 80.2960 | + | 139.077i | 0.778144 | + | 1.34778i | ||||
\(23\) | −129.309 | + | 74.6565i | −1.17229 | + | 0.676824i | −0.954219 | − | 0.299108i | \(-0.903311\pi\) |
−0.218074 | + | 0.975932i | \(0.569977\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −59.2260 | + | 102.582i | −0.473808 | + | 0.820659i | ||||
\(26\) | 100.714 | 0.759681 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.98894 | + | 17.2693i | 0.0269228 | + | 0.116557i | ||||
\(29\) | 127.390 | + | 73.5487i | 0.815715 | + | 0.470953i | 0.848937 | − | 0.528495i | \(-0.177243\pi\) |
−0.0332217 | + | 0.999448i | \(0.510577\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −61.1678 | + | 35.3153i | −0.354389 | + | 0.204607i | −0.666617 | − | 0.745401i | \(-0.732258\pi\) |
0.312228 | + | 0.950007i | \(0.398925\pi\) | |||||||
\(32\) | −37.3130 | + | 21.5427i | −0.206127 | + | 0.119008i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 112.873 | + | 65.1670i | 0.569338 | + | 0.328707i | ||||
\(35\) | 65.0355 | + | 281.557i | 0.314086 | + | 1.35977i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 40.3540 | 0.179302 | 0.0896509 | − | 0.995973i | \(-0.471425\pi\) | ||||
0.0896509 | + | 0.995973i | \(0.471425\pi\) | |||||||
\(38\) | 48.2629 | − | 83.5938i | 0.206034 | − | 0.356861i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −284.824 | + | 164.443i | −1.12586 | + | 0.650018i | ||||
\(41\) | −179.454 | − | 310.824i | −0.683562 | − | 1.18396i | −0.973886 | − | 0.227036i | \(-0.927096\pi\) |
0.290324 | − | 0.956928i | \(-0.406237\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −253.886 | + | 439.743i | −0.900400 | + | 1.55954i | −0.0734235 | + | 0.997301i | \(0.523392\pi\) |
−0.826976 | + | 0.562237i | \(0.809941\pi\) | |||||||
\(44\) | − | 51.3519i | − | 0.175945i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 446.867 | 1.43233 | ||||||||
\(47\) | −228.160 | + | 395.185i | −0.708098 | + | 1.22646i | 0.257464 | + | 0.966288i | \(0.417113\pi\) |
−0.965562 | + | 0.260174i | \(0.916220\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 284.402 | + | 191.740i | 0.829162 | + | 0.559009i | ||||
\(50\) | 307.011 | − | 177.253i | 0.868359 | − | 0.501347i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −27.8904 | − | 16.1025i | −0.0743789 | − | 0.0429427i | ||||
\(53\) | 213.420i | 0.553123i | 0.960996 | + | 0.276561i | \(0.0891949\pi\) | ||||
−0.960996 | + | 0.276561i | \(0.910805\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 837.238i | − | 2.05260i | ||||||
\(56\) | −114.094 | + | 373.333i | −0.272258 | + | 0.890871i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −220.118 | − | 381.256i | −0.498327 | − | 0.863127i | ||||
\(59\) | 159.593 | + | 276.424i | 0.352157 | + | 0.609954i | 0.986627 | − | 0.162993i | \(-0.0521149\pi\) |
−0.634470 | + | 0.772947i | \(0.718782\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 303.662 | + | 175.319i | 0.637375 | + | 0.367989i | 0.783603 | − | 0.621262i | \(-0.213380\pi\) |
−0.146227 | + | 0.989251i | \(0.546713\pi\) | |||||||
\(62\) | 211.385 | 0.432998 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −436.974 | −0.853466 | ||||||||
\(65\) | −454.723 | − | 262.535i | −0.867715 | − | 0.500976i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −289.258 | − | 501.009i | −0.527440 | − | 0.913553i | −0.999489 | − | 0.0319801i | \(-0.989819\pi\) |
0.472049 | − | 0.881572i | \(-0.343515\pi\) | |||||||
\(68\) | −20.8382 | − | 36.0928i | −0.0371618 | − | 0.0643662i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 252.762 | − | 827.077i | 0.431584 | − | 1.41221i | ||||
\(71\) | − | 787.243i | − | 1.31589i | −0.753064 | − | 0.657947i | \(-0.771425\pi\) | ||
0.753064 | − | 0.657947i | \(-0.228575\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 146.373i | 0.234681i | 0.993092 | + | 0.117340i | \(0.0374368\pi\) | ||||
−0.993092 | + | 0.117340i | \(0.962563\pi\) | |||||||
\(74\) | −104.592 | − | 60.3863i | −0.164305 | − | 0.0948617i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −26.7305 | + | 15.4329i | −0.0403447 | + | 0.0232930i | ||||
\(77\) | −677.836 | − | 726.728i | −1.00320 | − | 1.07556i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −193.095 | + | 334.451i | −0.274999 | + | 0.476312i | −0.970135 | − | 0.242566i | \(-0.922011\pi\) |
0.695136 | + | 0.718878i | \(0.255344\pi\) | |||||||
\(80\) | 1103.76 | 1.54254 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1074.15i | 1.44659i | ||||||||
\(83\) | 98.9043 | − | 171.307i | 0.130797 | − | 0.226547i | −0.793187 | − | 0.608978i | \(-0.791580\pi\) |
0.923984 | + | 0.382431i | \(0.124913\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −339.745 | − | 588.455i | −0.433535 | − | 0.750905i | ||||
\(86\) | 1316.07 | − | 759.835i | 1.65018 | − | 0.952734i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 565.524 | − | 979.517i | 0.685058 | − | 1.18656i | ||||
\(89\) | 596.020 | 0.709865 | 0.354932 | − | 0.934892i | \(-0.384504\pi\) | ||||
0.354932 | + | 0.934892i | \(0.384504\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −607.253 | + | 140.267i | −0.699532 | + | 0.161582i | ||||
\(92\) | −123.749 | − | 71.4466i | −0.140236 | − | 0.0809654i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1182.72 | − | 682.844i | 1.29775 | − | 0.749255i | ||||
\(95\) | −435.812 | + | 251.616i | −0.470667 | + | 0.271740i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 631.485 | + | 364.588i | 0.661006 | + | 0.381632i | 0.792660 | − | 0.609664i | \(-0.208696\pi\) |
−0.131654 | + | 0.991296i | \(0.542029\pi\) | |||||||
\(98\) | −450.210 | − | 922.547i | −0.464062 | − | 0.950932i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −113.359 | −0.113359 | ||||||||
\(101\) | 286.723 | − | 496.619i | 0.282476 | − | 0.489262i | −0.689518 | − | 0.724268i | \(-0.742178\pi\) |
0.971994 | + | 0.235006i | \(0.0755111\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1420.04 | + | 819.860i | −1.35845 | + | 0.784303i | −0.989415 | − | 0.145111i | \(-0.953646\pi\) |
−0.369038 | + | 0.929414i | \(0.620313\pi\) | |||||||
\(104\) | −354.665 | − | 614.298i | −0.334402 | − | 0.579201i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 319.365 | − | 553.156i | 0.292636 | − | 0.506861i | ||||
\(107\) | 377.596i | 0.341155i | 0.985344 | + | 0.170577i | \(0.0545633\pi\) | ||||
−0.985344 | + | 0.170577i | \(0.945437\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1166.06 | −1.02467 | −0.512334 | − | 0.858787i | \(-0.671219\pi\) | ||||
−0.512334 | + | 0.858787i | \(0.671219\pi\) | |||||||
\(110\) | −1252.85 | + | 2170.01i | −1.08595 | + | 1.88093i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 958.067 | − | 893.611i | 0.808293 | − | 0.753913i | ||||
\(113\) | 279.069 | − | 161.121i | 0.232324 | − | 0.134132i | −0.379320 | − | 0.925266i | \(-0.623842\pi\) |
0.611644 | + | 0.791133i | \(0.290509\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2017.60 | − | 1164.86i | −1.63602 | − | 0.944555i | ||||
\(116\) | 140.773i | 0.112676i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 955.269i | − | 0.745252i | ||||||
\(119\) | −771.320 | − | 235.722i | −0.594175 | − | 0.181585i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 774.144 | + | 1340.86i | 0.581626 | + | 1.00741i | ||||
\(122\) | −524.700 | − | 908.806i | −0.389378 | − | 0.674422i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −58.5379 | − | 33.7969i | −0.0423940 | − | 0.0244762i | ||||
\(125\) | 102.169 | 0.0731064 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1356.31 | 0.947663 | 0.473832 | − | 0.880615i | \(-0.342871\pi\) | ||||
0.473832 | + | 0.880615i | \(0.342871\pi\) | |||||||
\(128\) | 1431.08 | + | 826.236i | 0.988211 | + | 0.570544i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 785.720 | + | 1360.91i | 0.530094 | + | 0.918150i | ||||
\(131\) | 978.999 | + | 1695.68i | 0.652943 | + | 1.13093i | 0.982405 | + | 0.186762i | \(0.0597992\pi\) |
−0.329462 | + | 0.944169i | \(0.606867\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −174.577 | + | 571.242i | −0.113818 | + | 0.372428i | ||||
\(134\) | 1731.40i | 1.11619i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | − | 917.942i | − | 0.578771i | ||||||
\(137\) | 859.395 | + | 496.172i | 0.535935 | + | 0.309422i | 0.743430 | − | 0.668814i | \(-0.233198\pi\) |
−0.207495 | + | 0.978236i | \(0.566531\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 722.161 | − | 416.940i | 0.440668 | − | 0.254420i | −0.263213 | − | 0.964738i | \(-0.584782\pi\) |
0.703881 | + | 0.710318i | \(0.251449\pi\) | |||||||
\(140\) | −202.232 | + | 188.627i | −0.122084 | + | 0.113870i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1178.04 | + | 2040.43i | −0.696190 | + | 1.20584i | ||||
\(143\) | 1805.73 | 1.05596 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2295.15i | 1.31450i | ||||||||
\(146\) | 219.035 | − | 379.379i | 0.124161 | − | 0.215052i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 19.3095 | + | 33.4450i | 0.0107245 | + | 0.0185754i | ||||
\(149\) | −1324.03 | + | 764.428i | −0.727978 | + | 0.420298i | −0.817682 | − | 0.575670i | \(-0.804741\pi\) |
0.0897042 | + | 0.995968i | \(0.471408\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −373.571 | + | 647.044i | −0.201330 | + | 0.348713i | −0.948957 | − | 0.315405i | \(-0.897860\pi\) |
0.747627 | + | 0.664118i | \(0.231193\pi\) | |||||||
\(152\) | −679.831 | −0.362774 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 669.373 | + | 2897.90i | 0.350257 | + | 1.51636i | ||||
\(155\) | −954.398 | − | 551.022i | −0.494575 | − | 0.285543i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1193.21 | − | 688.900i | 0.606551 | − | 0.350192i | −0.165064 | − | 0.986283i | \(-0.552783\pi\) |
0.771614 | + | 0.636091i | \(0.219450\pi\) | |||||||
\(158\) | 1000.95 | − | 577.901i | 0.503997 | − | 0.290983i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −582.193 | − | 336.129i | −0.287665 | − | 0.166083i | ||||
\(161\) | −2694.37 | + | 622.360i | −1.31892 | + | 0.304651i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1900.28 | 0.913139 | 0.456569 | − | 0.889688i | \(-0.349078\pi\) | ||||
0.456569 | + | 0.889688i | \(0.349078\pi\) | |||||||
\(164\) | 171.739 | − | 297.460i | 0.0817715 | − | 0.141632i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −512.693 | + | 296.003i | −0.239715 | + | 0.138399i | ||||
\(167\) | −836.404 | − | 1448.69i | −0.387562 | − | 0.671277i | 0.604559 | − | 0.796560i | \(-0.293349\pi\) |
−0.992121 | + | 0.125283i | \(0.960016\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −532.274 | + | 921.925i | −0.242273 | + | 0.419629i | ||||
\(170\) | 2033.59i | 0.917468i | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −485.939 | −0.215422 | ||||||||
\(173\) | 496.398 | − | 859.787i | 0.218153 | − | 0.377852i | −0.736090 | − | 0.676883i | \(-0.763330\pi\) |
0.954243 | + | 0.299031i | \(0.0966635\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1604.25 | + | 1496.32i | −0.692970 | + | 0.646349i | ||||
\(176\) | −3287.30 | + | 1897.92i | −1.40790 | + | 0.812849i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1544.80 | − | 891.891i | −0.650493 | − | 0.375562i | ||||
\(179\) | − | 145.772i | − | 0.0608687i | −0.999537 | − | 0.0304343i | \(-0.990311\pi\) | ||
0.999537 | − | 0.0304343i | \(-0.00968905\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 2253.56i | − | 0.925448i | −0.886502 | − | 0.462724i | \(-0.846872\pi\) | ||
0.886502 | − | 0.462724i | \(-0.153128\pi\) | |||||||
\(182\) | 1783.81 | + | 545.150i | 0.726511 | + | 0.222029i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1573.64 | − | 2725.63i | −0.630492 | − | 1.09204i | ||||
\(185\) | 314.821 | + | 545.286i | 0.125114 | + | 0.216704i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2023.72 | + | 1168.39i | 0.791384 | + | 0.456906i | ||||
\(188\) | −436.701 | −0.169413 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1506.09 | 0.575069 | ||||||||
\(191\) | −3201.45 | − | 1848.36i | −1.21282 | − | 0.700222i | −0.249448 | − | 0.968388i | \(-0.580249\pi\) |
−0.963373 | + | 0.268166i | \(0.913583\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2194.75 | + | 3801.42i | 0.818559 | + | 1.41779i | 0.906744 | + | 0.421681i | \(0.138560\pi\) |
−0.0881856 | + | 0.996104i | \(0.528107\pi\) | |||||||
\(194\) | −1091.15 | − | 1889.92i | −0.403814 | − | 0.699426i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −22.8250 | + | 327.458i | −0.00831814 | + | 0.119336i | ||||
\(197\) | − | 2110.35i | − | 0.763229i | −0.924322 | − | 0.381615i | \(-0.875368\pi\) | ||
0.924322 | − | 0.381615i | \(-0.124632\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 3443.20i | − | 1.22654i | −0.789873 | − | 0.613271i | \(-0.789854\pi\) | ||
0.789873 | − | 0.613271i | \(-0.210146\pi\) | |||||||
\(200\) | −2162.28 | − | 1248.39i | −0.764481 | − | 0.441373i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1486.29 | + | 858.113i | −0.517700 | + | 0.298894i | ||||
\(203\) | 1858.18 | + | 1992.21i | 0.642455 | + | 0.688795i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2800.02 | − | 4849.77i | 0.953959 | − | 1.65231i | ||||
\(206\) | 4907.40 | 1.65978 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2380.54i | 0.793562i | ||||||||
\(209\) | 865.316 | − | 1498.77i | 0.286388 | − | 0.496039i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1865.08 | − | 3230.41i | −0.608518 | − | 1.05398i | −0.991485 | − | 0.130223i | \(-0.958431\pi\) |
0.382966 | − | 0.923762i | \(-0.374903\pi\) | |||||||
\(212\) | −176.881 | + | 102.122i | −0.0573028 | + | 0.0330838i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 565.039 | − | 978.676i | 0.180492 | − | 0.312621i | ||||
\(215\) | −7922.73 | −2.51314 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1274.54 | + | 294.399i | −0.398715 | + | 0.0920973i | ||||
\(218\) | 3022.28 | + | 1744.91i | 0.938966 | + | 0.542112i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 693.895 | − | 400.620i | 0.212647 | − | 0.122772i | ||||
\(221\) | 1269.16 | − | 732.751i | 0.386303 | − | 0.223032i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2359.66 | + | 1362.35i | 0.708585 | + | 0.409101i | 0.810537 | − | 0.585688i | \(-0.199176\pi\) |
−0.101952 | + | 0.994789i | \(0.532509\pi\) | |||||||
\(224\) | −777.481 | + | 179.587i | −0.231909 | + | 0.0535675i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −964.411 | −0.283857 | ||||||||
\(227\) | 2832.72 | − | 4906.41i | 0.828256 | − | 1.43458i | −0.0711495 | − | 0.997466i | \(-0.522667\pi\) |
0.899405 | − | 0.437116i | \(-0.144000\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 366.827 | − | 211.787i | 0.105854 | − | 0.0611149i | −0.446138 | − | 0.894964i | \(-0.647201\pi\) |
0.551992 | + | 0.833849i | \(0.313868\pi\) | |||||||
\(230\) | 3486.22 | + | 6038.32i | 0.999456 | + | 1.73111i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1550.29 | + | 2685.18i | −0.438714 | + | 0.759875i | ||||
\(233\) | − | 234.803i | − | 0.0660192i | −0.999455 | − | 0.0330096i | \(-0.989491\pi\) | ||
0.999455 | − | 0.0330096i | \(-0.0105092\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −7119.95 | −1.97640 | ||||||||
\(236\) | −152.731 | + | 264.539i | −0.0421270 | + | 0.0729661i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1646.42 | + | 1765.17i | 0.448409 | + | 0.480753i | ||||
\(239\) | −1575.90 | + | 909.844i | −0.426511 | + | 0.246246i | −0.697859 | − | 0.716235i | \(-0.745864\pi\) |
0.271348 | + | 0.962481i | \(0.412531\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2358.44 | + | 1361.65i | 0.630377 | + | 0.363948i | 0.780898 | − | 0.624659i | \(-0.214762\pi\) |
−0.150521 | + | 0.988607i | \(0.548095\pi\) | |||||||
\(242\) | − | 4633.75i | − | 1.23086i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 335.562i | 0.0880417i | ||||||||
\(245\) | −372.137 | + | 5338.86i | −0.0970407 | + | 1.39219i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −542.678 | − | 939.946i | −0.139797 | − | 0.242135i | ||||
\(248\) | −744.391 | − | 1289.32i | −0.190600 | − | 0.330129i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −264.809 | − | 152.887i | −0.0669919 | − | 0.0386778i | ||||
\(251\) | 4214.66 | 1.05987 | 0.529934 | − | 0.848039i | \(-0.322217\pi\) | ||||
0.529934 | + | 0.848039i | \(0.322217\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8011.98 | 1.99094 | ||||||||
\(254\) | −3515.38 | − | 2029.60i | −0.868403 | − | 0.501372i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −724.881 | − | 1255.53i | −0.176973 | − | 0.306526i | ||||
\(257\) | 1388.99 | + | 2405.80i | 0.337132 | + | 0.583929i | 0.983892 | − | 0.178764i | \(-0.0572099\pi\) |
−0.646760 | + | 0.762693i | \(0.723877\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 714.735 | + | 218.430i | 0.171473 | + | 0.0524037i | ||||
\(260\) | − | 502.494i | − | 0.119859i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | − | 5859.95i | − | 1.38179i | ||||||
\(263\) | 2737.40 | + | 1580.44i | 0.641808 | + | 0.370548i | 0.785311 | − | 0.619102i | \(-0.212503\pi\) |
−0.143503 | + | 0.989650i | \(0.545837\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2883.85 | + | 1664.99i | −0.668504 | + | 0.385961i | ||||
\(266\) | 1307.29 | − | 1219.34i | 0.301336 | − | 0.281063i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 276.821 | − | 479.468i | 0.0630953 | − | 0.109284i | ||||
\(269\) | −4337.32 | −0.983088 | −0.491544 | − | 0.870853i | \(-0.663567\pi\) | ||||
−0.491544 | + | 0.870853i | \(0.663567\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 8399.64i | − | 1.88281i | −0.337276 | − | 0.941406i | \(-0.609505\pi\) | ||
0.337276 | − | 0.941406i | \(-0.390495\pi\) | |||||||
\(272\) | −1540.33 | + | 2667.92i | −0.343368 | + | 0.594730i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1484.96 | − | 2572.02i | −0.327407 | − | 0.567085i | ||||
\(275\) | 5504.47 | − | 3178.01i | 1.20702 | − | 0.696876i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1826.45 | − | 3163.50i | 0.396176 | − | 0.686197i | −0.597075 | − | 0.802186i | \(-0.703670\pi\) |
0.993250 | + | 0.115989i | \(0.0370038\pi\) | |||||||
\(278\) | −2495.66 | −0.538415 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5934.79 | + | 1370.85i | −1.26668 | + | 0.292585i | ||||
\(281\) | 7198.88 | + | 4156.27i | 1.52829 | + | 0.882358i | 0.999434 | + | 0.0336451i | \(0.0107116\pi\) |
0.528854 | + | 0.848713i | \(0.322622\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1294.63 | − | 747.458i | 0.271937 | − | 0.157003i | −0.357831 | − | 0.933786i | \(-0.616484\pi\) |
0.629767 | + | 0.776784i | \(0.283150\pi\) | |||||||
\(284\) | 652.459 | − | 376.697i | 0.136325 | − | 0.0787073i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4680.20 | − | 2702.12i | −0.967644 | − | 0.558669i | ||||
\(287\) | −1495.99 | − | 6476.55i | −0.307684 | − | 1.33205i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3016.50 | −0.613983 | ||||||||
\(290\) | 3434.49 | − | 5948.72i | 0.695450 | − | 1.20455i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −121.313 | + | 70.0399i | −0.0243126 | + | 0.0140369i | ||||
\(293\) | 139.838 | + | 242.207i | 0.0278820 | + | 0.0482931i | 0.879630 | − | 0.475659i | \(-0.157790\pi\) |
−0.851748 | + | 0.523952i | \(0.824457\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2490.12 | + | 4313.02i | −0.491460 | + | 0.851233i | ||||
\(296\) | 850.601i | 0.167028i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 4575.60 | 0.889455 | ||||||||
\(299\) | 2512.33 | − | 4351.49i | 0.485926 | − | 0.841649i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6876.98 | + | 6414.31i | −1.31688 | + | 1.22829i | ||||
\(302\) | 1936.49 | − | 1118.03i | 0.368982 | − | 0.213032i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1975.87 | + | 1140.77i | 0.372777 | + | 0.215223i | ||||
\(305\) | 5470.99i | 1.02711i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 10727.5i | 1.99430i | 0.0754451 | + | 0.997150i | \(0.475962\pi\) | ||||
−0.0754451 | + | 0.997150i | \(0.524038\pi\) | |||||||
\(308\) | 277.959 | − | 909.525i | 0.0514227 | − | 0.168263i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1649.11 | + | 2856.35i | 0.302140 | + | 0.523321i | ||||
\(311\) | 4776.34 | + | 8272.87i | 0.870873 | + | 1.50840i | 0.861095 | + | 0.508445i | \(0.169779\pi\) |
0.00977881 | + | 0.999952i | \(0.496887\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3195.36 | + | 1844.84i | 0.577037 | + | 0.333153i | 0.759955 | − | 0.649976i | \(-0.225221\pi\) |
−0.182918 | + | 0.983128i | \(0.558554\pi\) | |||||||
\(314\) | −4123.51 | −0.741093 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −369.586 | −0.0657938 | ||||||||
\(317\) | 652.484 | + | 376.712i | 0.115606 | + | 0.0667453i | 0.556688 | − | 0.830722i | \(-0.312072\pi\) |
−0.441082 | + | 0.897467i | \(0.645405\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3946.55 | − | 6835.62i | −0.692678 | − | 1.19975i | ||||
\(320\) | −3409.04 | − | 5904.64i | −0.595536 | − | 1.03150i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 7914.74 | + | 2418.82i | 1.36979 | + | 0.418620i | ||||
\(323\) | − | 1404.55i | − | 0.241955i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 3986.14i | − | 0.680342i | ||||||
\(326\) | −4925.27 | − | 2843.61i | −0.836766 | − | 0.483107i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6551.69 | − | 3782.62i | 1.10292 | − | 0.636769i | ||||
\(329\) | −6180.16 | + | 5764.38i | −1.03563 | + | 0.965959i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3119.34 | + | 5402.86i | −0.517989 | + | 0.897184i | 0.481792 | + | 0.876285i | \(0.339986\pi\) |
−0.999782 | + | 0.0208983i | \(0.993347\pi\) | |||||||
\(332\) | 189.304 | 0.0312933 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 5006.42i | 0.820177i | ||||||||
\(335\) | 4513.27 | − | 7817.22i | 0.736079 | − | 1.27493i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3929.76 | − | 6806.55i | −0.635216 | − | 1.10023i | −0.986469 | − | 0.163946i | \(-0.947578\pi\) |
0.351254 | − | 0.936280i | \(-0.385756\pi\) | |||||||
\(338\) | 2759.16 | − | 1593.00i | 0.444020 | − | 0.256355i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 325.137 | − | 563.155i | 0.0518619 | − | 0.0898275i | ||||
\(341\) | 3789.96 | 0.601871 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3999.37 | + | 4935.45i | 0.629579 | + | 0.776936i | ||||
\(344\) | −9269.10 | − | 5351.52i | −1.45278 | − | 0.838763i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2573.19 | + | 1485.63i | −0.399814 | + | 0.230833i | ||||
\(347\) | −1142.47 | + | 659.607i | −0.176747 | + | 0.102045i | −0.585763 | − | 0.810482i | \(-0.699205\pi\) |
0.409016 | + | 0.912527i | \(0.365872\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4291.07 | − | 2477.45i | −0.658153 | − | 0.379985i | 0.133420 | − | 0.991060i | \(-0.457404\pi\) |
−0.791573 | + | 0.611075i | \(0.790738\pi\) | |||||||
\(350\) | 6397.10 | − | 1477.64i | 0.976970 | − | 0.225666i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2311.92 | 0.350073 | ||||||||
\(353\) | −2690.76 | + | 4660.53i | −0.405707 | + | 0.702706i | −0.994404 | − | 0.105648i | \(-0.966308\pi\) |
0.588696 | + | 0.808354i | \(0.299641\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10637.7 | − | 6141.65i | 1.59039 | − | 0.918211i | ||||
\(356\) | 285.197 | + | 493.975i | 0.0424590 | + | 0.0735411i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −218.135 | + | 377.820i | −0.0322033 | + | 0.0557777i | ||||
\(359\) | 3814.03i | 0.560715i | 0.959896 | + | 0.280357i | \(0.0904530\pi\) | ||||
−0.959896 | + | 0.280357i | \(0.909547\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5818.78 | 0.848343 | ||||||||
\(362\) | −3372.26 | + | 5840.93i | −0.489619 | + | 0.848046i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −406.824 | − | 436.168i | −0.0585806 | − | 0.0628060i | ||||
\(365\) | −1977.88 | + | 1141.93i | −0.283635 | + | 0.163757i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10883.1 | − | 6283.37i | −1.54794 | − | 0.893704i | −0.998299 | − | 0.0583038i | \(-0.981431\pi\) |
−0.549642 | − | 0.835400i | \(-0.685236\pi\) | |||||||
\(368\) | 10562.4i | 1.49621i | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 1884.41i | − | 0.264772i | ||||||
\(371\) | −1155.21 | + | 3780.01i | −0.161659 | + | 0.528972i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2338.60 | + | 4050.58i | 0.324633 | + | 0.562281i | 0.981438 | − | 0.191779i | \(-0.0614258\pi\) |
−0.656805 | + | 0.754061i | \(0.728092\pi\) | |||||||
\(374\) | −3496.80 | − | 6056.63i | −0.483463 | − | 0.837382i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −8329.90 | − | 4809.27i | −1.14250 | − | 0.659625i | ||||
\(377\) | −4950.11 | −0.676243 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4851.71 | −0.657561 | −0.328780 | − | 0.944406i | \(-0.606638\pi\) | ||||
−0.328780 | + | 0.944406i | \(0.606638\pi\) | |||||||
\(380\) | −417.074 | − | 240.798i | −0.0563038 | − | 0.0325070i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5531.81 | + | 9581.38i | 0.740922 | + | 1.28331i | ||||
\(383\) | −2456.18 | − | 4254.22i | −0.327689 | − | 0.567573i | 0.654364 | − | 0.756180i | \(-0.272936\pi\) |
−0.982053 | + | 0.188606i | \(0.939603\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4531.83 | − | 14828.8i | 0.599905 | − | 1.96298i | ||||
\(386\) | − | 13137.0i | − | 1.73227i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 697.825i | 0.0913059i | ||||||||
\(389\) | 4621.95 | + | 2668.48i | 0.602421 | + | 0.347808i | 0.769994 | − | 0.638052i | \(-0.220259\pi\) |
−0.167572 | + | 0.985860i | \(0.553593\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5631.24 | − | 3251.20i | 0.728349 | − | 0.420512i | ||||
\(392\) | −4041.58 | + | 5994.77i | −0.520742 | + | 0.772401i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3157.95 | + | 5469.74i | −0.403795 | + | 0.699394i | ||||
\(395\) | −6025.71 | −0.767561 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1308.17i | 0.165378i | 0.996575 | + | 0.0826889i | \(0.0263508\pi\) | ||||
−0.996575 | + | 0.0826889i | \(0.973649\pi\) | |||||||
\(398\) | −5152.44 | + | 8924.29i | −0.648916 | + | 1.12396i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4189.66 | + | 7256.70i | 0.523707 | + | 0.907087i | ||||
\(401\) | 1742.21 | − | 1005.86i | 0.216962 | − | 0.125263i | −0.387581 | − | 0.921836i | \(-0.626689\pi\) |
0.604543 | + | 0.796573i | \(0.293356\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1188.43 | − | 2058.42i | 0.146898 | − | 0.254434i | ||||
\(404\) | 548.791 | 0.0675826 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1834.98 | − | 7944.12i | −0.224306 | − | 0.971084i | ||||
\(407\) | −1875.25 | − | 1082.68i | −0.228386 | − | 0.131858i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 61.5250 | − | 35.5215i | 0.00743818 | − | 0.00429444i | −0.496276 | − | 0.868165i | \(-0.665300\pi\) |
0.503714 | + | 0.863870i | \(0.331966\pi\) | |||||||
\(410\) | −14514.5 | + | 8379.96i | −1.74834 | + | 1.00941i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1358.98 | − | 784.610i | −0.162506 | − | 0.0938227i | ||||
\(413\) | 1330.42 | + | 5759.76i | 0.158512 | + | 0.686245i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3086.40 | 0.365073 | ||||||||
\(416\) | 724.953 | − | 1255.66i | 0.0854417 | − | 0.147989i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −4485.56 | + | 2589.74i | −0.524871 | + | 0.303034i | ||||
\(419\) | 1825.15 | + | 3161.25i | 0.212803 | + | 0.368585i | 0.952591 | − | 0.304255i | \(-0.0984076\pi\) |
−0.739788 | + | 0.672840i | \(0.765074\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2970.12 | + | 5144.40i | −0.343836 | + | 0.595541i | −0.985142 | − | 0.171744i | \(-0.945060\pi\) |
0.641306 | + | 0.767285i | \(0.278393\pi\) | |||||||
\(422\) | 11163.7i | 1.28778i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4498.57 | −0.515259 | ||||||||
\(425\) | 2579.22 | − | 4467.34i | 0.294378 | − | 0.509877i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4429.37 | + | 4748.85i | 0.501995 | + | 0.538204i | ||||
\(428\) | −312.948 | + | 180.680i | −0.0353432 | + | 0.0204054i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 20534.6 | + | 11855.7i | 2.30295 | + | 1.32961i | ||||
\(431\) | − | 7508.08i | − | 0.839098i | −0.907733 | − | 0.419549i | \(-0.862188\pi\) | ||
0.907733 | − | 0.419549i | \(-0.137812\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6880.95i | 0.763689i | 0.924227 | + | 0.381845i | \(0.124711\pi\) | ||||
−0.924227 | + | 0.381845i | \(0.875289\pi\) | |||||||
\(434\) | 3743.97 | + | 1144.19i | 0.414092 | + | 0.126550i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −557.964 | − | 966.423i | −0.0612882 | − | 0.106154i | ||||
\(437\) | −2407.85 | − | 4170.52i | −0.263577 | − | 0.456529i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4495.14 | + | 2595.27i | 0.488705 | + | 0.282154i | 0.724037 | − | 0.689761i | \(-0.242285\pi\) |
−0.235332 | + | 0.971915i | \(0.575618\pi\) | |||||||
\(440\) | 17647.7 | 1.91209 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4385.99 | −0.471992 | ||||||||
\(443\) | 878.510 | + | 507.208i | 0.0942196 | + | 0.0543977i | 0.546369 | − | 0.837544i | \(-0.316009\pi\) |
−0.452150 | + | 0.891942i | \(0.649343\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4649.83 | + | 8053.74i | 0.495333 | + | 0.857942i | ||||
\(446\) | −4077.27 | − | 7062.04i | −0.432880 | − | 0.749770i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −7739.52 | − | 2365.27i | −0.816201 | − | 0.249439i | ||||
\(449\) | 6361.05i | 0.668589i | 0.942469 | + | 0.334295i | \(0.108498\pi\) | ||||
−0.942469 | + | 0.334295i | \(0.891502\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 19258.7i | 2.01077i | ||||||||
\(452\) | 267.070 | + | 154.193i | 0.0277919 | + | 0.0160456i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −14684.0 | + | 8477.83i | −1.51796 | + | 0.876397i | ||||
\(455\) | −6632.83 | − | 7111.25i | −0.683410 | − | 0.732705i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2808.03 | + | 4863.65i | −0.287427 | + | 0.497838i | −0.973195 | − | 0.229982i | \(-0.926133\pi\) |
0.685768 | + | 0.727820i | \(0.259467\pi\) | |||||||
\(458\) | −1267.69 | −0.129334 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 2229.55i | − | 0.225986i | ||||||
\(461\) | −2311.52 | + | 4003.68i | −0.233532 | + | 0.404490i | −0.958845 | − | 0.283929i | \(-0.908362\pi\) |
0.725313 | + | 0.688420i | \(0.241695\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2180.04 | + | 3775.94i | 0.218823 | + | 0.379012i | 0.954448 | − | 0.298376i | \(-0.0964450\pi\) |
−0.735626 | + | 0.677388i | \(0.763112\pi\) | |||||||
\(464\) | 9011.59 | − | 5202.85i | 0.901622 | − | 0.520552i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −351.363 | + | 608.578i | −0.0349283 | + | 0.0604975i | ||||
\(467\) | 10923.9 | 1.08243 | 0.541216 | − | 0.840884i | \(-0.317964\pi\) | ||||
0.541216 | + | 0.840884i | \(0.317964\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2411.34 | − | 10439.4i | −0.237410 | − | 1.02782i | ||||
\(470\) | 18453.9 | + | 10654.4i | 1.81110 | + | 1.04564i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −5826.58 | + | 3363.98i | −0.568200 | + | 0.328050i | ||||
\(473\) | 23596.1 | − | 13623.2i | 2.29377 | − | 1.32431i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3308.53 | − | 1910.18i | −0.319591 | − | 0.184516i | ||||
\(476\) | −173.714 | − | 752.056i | −0.0167272 | − | 0.0724169i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 5446.01 | 0.521118 | ||||||||
\(479\) | −4797.57 | + | 8309.64i | −0.457634 | + | 0.792645i | −0.998835 | − | 0.0482479i | \(-0.984636\pi\) |
0.541202 | + | 0.840893i | \(0.317970\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1176.06 | + | 678.996i | −0.111483 | + | 0.0643649i | ||||
\(482\) | −4075.18 | − | 7058.41i | −0.385102 | − | 0.667016i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −740.859 | + | 1283.21i | −0.0695773 | + | 0.120511i | ||||
\(485\) | 11377.3i | 1.06519i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8240.46 | −0.766758 | −0.383379 | − | 0.923591i | \(-0.625240\pi\) | ||||
−0.383379 | + | 0.923591i | \(0.625240\pi\) | |||||||
\(488\) | −3695.46 | + | 6400.72i | −0.342798 | + | 0.593744i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 8953.66 | − | 13280.7i | 0.825480 | − | 1.22441i | ||||
\(491\) | −1742.44 | + | 1006.00i | −0.160153 | + | 0.0924645i | −0.577935 | − | 0.816083i | \(-0.696141\pi\) |
0.417781 | + | 0.908548i | \(0.362808\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5547.68 | − | 3202.96i | −0.506806 | − | 0.292604i | ||||
\(494\) | 3248.28i | 0.295844i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4996.42i | 0.452310i | ||||||||
\(497\) | 4261.21 | − | 13943.3i | 0.384591 | − | 1.25844i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7186.51 | − | 12447.4i | −0.644714 | − | 1.11668i | −0.984367 | − | 0.176127i | \(-0.943643\pi\) |
0.339653 | − | 0.940551i | \(-0.389690\pi\) | |||||||
\(500\) | 48.8883 | + | 84.6769i | 0.00437270 | + | 0.00757374i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10923.8 | − | 6306.87i | −0.971222 | − | 0.560735i | ||||
\(503\) | −12261.8 | −1.08693 | −0.543467 | − | 0.839430i | \(-0.682889\pi\) | ||||
−0.543467 | + | 0.839430i | \(0.682889\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8947.46 | 0.788429 | ||||||||
\(506\) | −20766.0 | − | 11989.2i | −1.82443 | − | 1.05333i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 648.998 | + | 1124.10i | 0.0566824 | + | 0.0981768i | ||||
\(509\) | 10985.2 | + | 19026.9i | 0.956602 | + | 1.65688i | 0.730658 | + | 0.682744i | \(0.239213\pi\) |
0.225945 | + | 0.974140i | \(0.427453\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −792.294 | + | 2592.51i | −0.0685891 | + | 0.224434i | ||||
\(512\) | − | 8880.88i | − | 0.766569i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | − | 8314.01i | − | 0.713454i | ||||||
\(515\) | −22156.8 | − | 12792.2i | −1.89582 | − | 1.09455i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 21205.3 | − | 12242.9i | 1.80388 | − | 1.04147i | ||||
\(518\) | −1525.63 | − | 1635.68i | −0.129406 | − | 0.138741i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 5533.82 | − | 9584.87i | 0.466681 | − | 0.808316i | ||||
\(521\) | 9869.79 | 0.829949 | 0.414974 | − | 0.909833i | \(-0.363791\pi\) | ||||
0.414974 | + | 0.909833i | \(0.363791\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 4243.21i | − | 0.354766i | −0.984142 | − | 0.177383i | \(-0.943237\pi\) | ||
0.984142 | − | 0.177383i | \(-0.0567632\pi\) | |||||||
\(524\) | −936.906 | + | 1622.77i | −0.0781087 | + | 0.135288i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4729.98 | − | 8192.57i | −0.392086 | − | 0.679112i | ||||
\(527\) | 2663.79 | − | 1537.94i | 0.220183 | − | 0.127123i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5063.67 | − | 8770.54i | 0.416181 | − | 0.720846i | ||||
\(530\) | 9966.06 | 0.816788 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −556.976 | + | 128.653i | −0.0453909 | + | 0.0104846i | ||||
\(533\) | 10459.8 | + | 6038.99i | 0.850029 | + | 0.490765i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5102.28 | + | 2945.80i | −0.412319 | + | 0.238053i | ||||
\(536\) | 10560.5 | − | 6097.11i | 0.851015 | − | 0.491334i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 11241.7 | + | 6490.41i | 0.900865 | + | 0.520115i | ||||
\(539\) | −8071.91 | − | 16540.5i | −0.645050 | − | 1.32180i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3649.63 | 0.290037 | 0.145018 | − | 0.989429i | \(-0.453676\pi\) | ||||
0.145018 | + | 0.989429i | \(0.453676\pi\) | |||||||
\(542\) | −12569.3 | + | 21770.7i | −0.996124 | + | 1.72534i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1624.94 | − | 938.158i | 0.128067 | − | 0.0739397i | ||||
\(545\) | −9097.02 | − | 15756.5i | −0.714997 | − | 1.23841i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 758.912 | − | 1314.47i | 0.0593212 | − | 0.102747i | −0.834840 | − | 0.550493i | \(-0.814440\pi\) |
0.894161 | + | 0.447746i | \(0.147773\pi\) | |||||||
\(548\) | 949.678i | 0.0740296i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −19022.4 | −1.47476 | ||||||||
\(551\) | −2372.12 | + | 4108.64i | −0.183404 | + | 0.317666i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −5230.36 | + | 4878.47i | −0.402201 | + | 0.375142i | ||||
\(554\) | −9467.81 | + | 5466.24i | −0.726081 | + | 0.419203i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 691.111 | + | 399.013i | 0.0527152 | + | 0.0304351i | ||||
\(557\) | − | 3101.35i | − | 0.235922i | −0.993018 | − | 0.117961i | \(-0.962364\pi\) | ||
0.993018 | − | 0.117961i | \(-0.0376357\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 17087.5i | − | 1.29289i | ||||||
\(560\) | 19549.3 | + | 5974.44i | 1.47519 | + | 0.450833i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −12439.0 | − | 21545.0i | −0.933643 | − | 1.61712i | ||||
\(563\) | 488.465 | + | 846.047i | 0.0365655 | + | 0.0633333i | 0.883729 | − | 0.467999i | \(-0.155025\pi\) |
−0.847164 | + | 0.531332i | \(0.821692\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4354.30 | + | 2513.96i | 0.324224 | + | 0.187191i | ||||
\(566\) | −4474.02 | −0.332256 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 16593.9 | 1.22581 | ||||||||
\(569\) | −14997.0 | − | 8658.53i | −1.10493 | − | 0.637934i | −0.167421 | − | 0.985885i | \(-0.553544\pi\) |
−0.937513 | + | 0.347952i | \(0.886877\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9602.72 | − | 16632.4i | −0.703785 | − | 1.21899i | −0.967128 | − | 0.254289i | \(-0.918158\pi\) |
0.263343 | − | 0.964702i | \(-0.415175\pi\) | |||||||
\(572\) | 864.045 | + | 1496.57i | 0.0631601 | + | 0.109396i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5814.20 | + | 19024.9i | −0.422787 | + | 1.38343i | ||||
\(575\) | − | 17686.4i | − | 1.28274i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 19299.1i | 1.39243i | 0.717832 | + | 0.696216i | \(0.245134\pi\) | ||||
−0.717832 | + | 0.696216i | \(0.754866\pi\) | |||||||
\(578\) | 7818.36 | + | 4513.93i | 0.562631 | + | 0.324835i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1902.20 | + | 1098.24i | −0.136180 | + | 0.0786237i | ||||
\(581\) | 2679.01 | − | 2498.78i | 0.191298 | − | 0.178428i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5725.95 | − | 9917.64i | 0.406766 | − | 0.704540i | ||||
\(584\) | −3085.32 | −0.218616 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 837.023i | − | 0.0590053i | ||||||
\(587\) | 4690.62 | − | 8124.39i | 0.329817 | − | 0.571260i | −0.652658 | − | 0.757652i | \(-0.726346\pi\) |
0.982475 | + | 0.186392i | \(0.0596796\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1139.00 | − | 1972.81i | −0.0796804 | − | 0.138011i | ||||
\(590\) | 12908.1 | − | 7452.51i | 0.900710 | − | 0.520025i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1427.33 | − | 2472.20i | 0.0990925 | − | 0.171633i | ||||
\(593\) | 21351.5 | 1.47859 | 0.739294 | − | 0.673383i | \(-0.235159\pi\) | ||||
0.739294 | + | 0.673383i | \(0.235159\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2832.22 | − | 12261.5i | −0.195142 | − | 0.844826i | ||||
\(596\) | −1267.10 | − | 731.562i | −0.0870847 | − | 0.0502784i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −13023.2 | + | 7518.98i | −0.890569 | + | 0.514170i | ||||
\(599\) | −15576.0 | + | 8992.82i | −1.06247 | + | 0.613417i | −0.926114 | − | 0.377243i | \(-0.876872\pi\) |
−0.136355 | + | 0.990660i | \(0.543539\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14051.1 | + | 8112.39i | 0.953669 | + | 0.550601i | 0.894219 | − | 0.447630i | \(-0.147732\pi\) |
0.0594502 | + | 0.998231i | \(0.481065\pi\) | |||||||
\(602\) | 27422.6 | − | 6334.22i | 1.85658 | − | 0.428843i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −715.019 | −0.0481684 | ||||||||
\(605\) | −12078.9 | + | 20921.3i | −0.811699 | + | 1.40590i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9689.02 | + | 5593.96i | −0.647883 | + | 0.374055i | −0.787645 | − | 0.616130i | \(-0.788700\pi\) |
0.139762 | + | 0.990185i | \(0.455366\pi\) | |||||||
\(608\) | −694.803 | − | 1203.43i | −0.0463454 | − | 0.0802726i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 8186.86 | − | 14180.1i | 0.543404 | − | 0.941203i | ||||
\(611\) | − | 15356.1i | − | 1.01676i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 26379.5 | 1.73810 | 0.869052 | − | 0.494720i | \(-0.164729\pi\) | ||||
0.869052 | + | 0.494720i | \(0.164729\pi\) | |||||||
\(614\) | 16052.7 | − | 27804.2i | 1.05511 | − | 1.82750i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 15318.3 | − | 14287.7i | 1.00194 | − | 0.934528i | ||||
\(617\) | −18989.8 | + | 10963.8i | −1.23906 | + | 0.715371i | −0.968902 | − | 0.247445i | \(-0.920409\pi\) |
−0.270157 | + | 0.962816i | \(0.587076\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 15019.6 | + | 8671.59i | 0.975267 | + | 0.563071i | 0.900838 | − | 0.434156i | \(-0.142953\pi\) |
0.0744291 | + | 0.997226i | \(0.476287\pi\) | |||||||
\(620\) | − | 1054.66i | − | 0.0683165i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 28589.5i | − | 1.84298i | ||||||
\(623\) | 10556.5 | + | 3226.15i | 0.678870 | + | 0.207469i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8200.32 | + | 14203.4i | 0.524820 | + | 0.909015i | ||||
\(626\) | −5521.30 | − | 9563.17i | −0.352517 | − | 0.610577i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1141.91 | + | 659.280i | 0.0725590 | + | 0.0418919i | ||||
\(629\) | −1757.37 | −0.111401 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −30543.8 | −1.92699 | −0.963495 | − | 0.267727i | \(-0.913727\pi\) | ||||
−0.963495 | + | 0.267727i | \(0.913727\pi\) | |||||||
\(632\) | −7049.71 | − | 4070.15i | −0.443706 | − | 0.256174i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1127.43 | − | 1952.77i | −0.0706248 | − | 0.122326i | ||||
\(635\) | 10581.2 | + | 18327.2i | 0.661265 | + | 1.14534i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −11514.7 | − | 802.614i | −0.716213 | − | 0.0499226i | ||||
\(638\) | 23622.7i | 1.46588i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 25783.4i | 1.59247i | ||||||||
\(641\) | 513.438 | + | 296.433i | 0.0316374 | + | 0.0182659i | 0.515735 | − | 0.856748i | \(-0.327519\pi\) |
−0.484098 | + | 0.875014i | \(0.660852\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −27553.5 | + | 15908.0i | −1.68990 | + | 0.975661i | −0.735307 | + | 0.677735i | \(0.762962\pi\) |
−0.954589 | + | 0.297927i | \(0.903705\pi\) | |||||||
\(644\) | −1805.07 | − | 1935.27i | −0.110450 | − | 0.118416i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2101.79 | + | 3640.41i | −0.128009 | + | 0.221718i | ||||
\(647\) | −14337.8 | −0.871218 | −0.435609 | − | 0.900136i | \(-0.643467\pi\) | ||||
−0.435609 | + | 0.900136i | \(0.643467\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 17127.2i | − | 1.03591i | ||||||
\(650\) | −5964.90 | + | 10331.5i | −0.359943 | + | 0.623439i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 909.290 | + | 1574.94i | 0.0546174 | + | 0.0946001i | ||||
\(653\) | −1310.50 | + | 756.617i | −0.0785356 | + | 0.0453426i | −0.538754 | − | 0.842463i | \(-0.681105\pi\) |
0.460218 | + | 0.887806i | \(0.347771\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −15275.3 | + | 26457.5i | −0.911228 | + | 1.57829i | ||||
\(656\) | −25389.3 | −1.51110 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 24644.0 | − | 5692.40i | 1.46007 | − | 0.337254i | ||||
\(659\) | −2743.47 | − | 1583.94i | −0.162171 | − | 0.0936293i | 0.416718 | − | 0.909036i | \(-0.363180\pi\) |
−0.578889 | + | 0.815406i | \(0.696514\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4954.29 | − | 2860.36i | 0.291527 | − | 0.168313i | −0.347103 | − | 0.937827i | \(-0.612835\pi\) |
0.638630 | + | 0.769514i | \(0.279501\pi\) | |||||||
\(662\) | 16169.8 | − | 9335.64i | 0.949331 | − | 0.548097i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3610.89 | + | 2084.75i | 0.211039 | + | 0.121843i | ||||
\(665\) | −9080.90 | + | 2097.55i | −0.529537 | + | 0.122315i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −21963.5 | −1.27501 | ||||||||
\(668\) | 800.442 | − | 1386.41i | 0.0463623 | − | 0.0803019i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −23395.6 | + | 13507.4i | −1.34903 | + | 0.778863i | ||||
\(671\) | −9407.45 | − | 16294.2i | −0.541238 | − | 0.937451i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3370.28 | − | 5837.50i | 0.193038 | − | 0.334352i | −0.753217 | − | 0.657772i | \(-0.771499\pi\) |
0.946256 | + | 0.323420i | \(0.104833\pi\) | |||||||
\(674\) | 23522.2i | 1.34427i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1018.78 | −0.0579641 | ||||||||
\(677\) | −2209.63 | + | 3827.20i | −0.125440 | + | 0.217269i | −0.921905 | − | 0.387416i | \(-0.873368\pi\) |
0.796465 | + | 0.604685i | \(0.206701\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9211.16 | + | 9875.56i | 0.520607 | + | 0.558158i | ||||
\(680\) | 12403.7 | − | 7161.30i | 0.699502 | − | 0.403858i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −9823.06 | − | 5671.35i | −0.551532 | − | 0.318427i | ||||
\(683\) | 25188.7i | 1.41115i | 0.708633 | + | 0.705577i | \(0.249312\pi\) | ||||
−0.708633 | + | 0.705577i | \(0.750688\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 15483.5i | 0.863640i | ||||||||
\(686\) | −2980.35 | − | 18776.7i | −0.165875 | − | 1.04504i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 17959.9 | + | 31107.5i | 0.995225 | + | 1.72378i | ||||
\(689\) | −3591.00 | − | 6219.79i | −0.198558 | − | 0.343912i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −21.1593 | − | 12.2163i | −0.00116489 | − | 0.000672548i | 0.499417 | − | 0.866361i | \(-0.333547\pi\) |
−0.500582 | + | 0.865689i | \(0.666881\pi\) | |||||||
\(692\) | 950.111 | 0.0521933 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 3948.18 | 0.215952 | ||||||||
\(695\) | 11267.8 | + | 6505.49i | 0.614983 | + | 0.355061i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7815.02 | + | 13536.0i | 0.424699 | + | 0.735600i | ||||
\(698\) | 7414.57 | + | 12842.4i | 0.402071 | + | 0.696408i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2007.77 | − | 613.593i | −0.108409 | − | 0.0331309i | ||||
\(701\) | 5989.84i | 0.322729i | 0.986895 | + | 0.161365i | \(0.0515895\pi\) | ||||
−0.986895 | + | 0.161365i | \(0.948411\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1301.52i | 0.0698259i | ||||||||
\(704\) | 20306.2 | + | 11723.8i | 1.08710 | + | 0.627639i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 13948.2 | − | 8052.98i | 0.743550 | − | 0.429289i | ||||
\(707\) | 7766.45 | − | 7243.94i | 0.413136 | − | 0.385342i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2214.14 | + | 3835.00i | −0.117283 | + | 0.203140i | −0.918690 | − | 0.394979i | \(-0.870752\pi\) |
0.801407 | + | 0.598119i | \(0.204085\pi\) | |||||||
\(710\) | −36761.8 | −1.94316 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12563.2i | 0.661271i | ||||||||
\(713\) | 5273.02 | − | 9133.15i | 0.276965 | − | 0.479718i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 14087.3 | + | 24400.0i | 0.736835 | + | 1.27624i | ||||
\(716\) | 120.814 | − | 69.7521i | 0.00630592 | − | 0.00364073i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 5707.36 | − | 9885.44i | 0.296653 | − | 0.513818i | ||||
\(719\) | 28053.6 | 1.45511 | 0.727554 | − | 0.686050i | \(-0.240657\pi\) | ||||
0.727554 | + | 0.686050i | \(0.240657\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −29589.0 | + | 6834.61i | −1.52836 | + | 0.353030i | ||||
\(722\) | −15081.5 | − | 8707.30i | −0.777389 | − | 0.448826i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1867.73 | − | 1078.34i | 0.0958753 | − | 0.0553536i | ||||
\(725\) | −15089.6 | + | 8711.98i | −0.772984 | + | 0.446282i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −13620.1 | − | 7863.54i | −0.694828 | − | 0.401159i | 0.110590 | − | 0.993866i | \(-0.464726\pi\) |
−0.805418 | + | 0.592707i | \(0.798059\pi\) | |||||||
\(728\) | −2956.60 | − | 12800.0i | −0.150521 | − | 0.651646i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 6835.18 | 0.346550 | ||||||||
\(731\) | 11056.4 | − | 19150.3i | 0.559420 | − | 0.968945i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 28543.9 | − | 16479.8i | 1.43833 | − | 0.830418i | 0.440593 | − | 0.897707i | \(-0.354768\pi\) |
0.997734 | + | 0.0672892i | \(0.0214350\pi\) | |||||||
\(734\) | 18805.0 | + | 32571.3i | 0.945649 | + | 1.63791i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3216.60 | − | 5571.32i | 0.161094 | − | 0.279024i | ||||
\(737\) | 31042.6i | 1.55152i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 18483.4 | 0.920056 | 0.460028 | − | 0.887905i | \(-0.347839\pi\) | ||||
0.460028 | + | 0.887905i | \(0.347839\pi\) | |||||||
\(740\) | −301.285 | + | 521.841i | −0.0149668 | + | 0.0259233i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 8650.60 | − | 8068.61i | 0.427997 | − | 0.399202i | ||||
\(743\) | −27952.9 | + | 16138.6i | −1.38020 | + | 0.796861i | −0.992183 | − | 0.124790i | \(-0.960174\pi\) |
−0.388020 | + | 0.921651i | \(0.626841\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −20658.8 | − | 11927.3i | −1.01594 | − | 0.586555i | ||||
\(746\) | − | 13998.0i | − | 0.687004i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2236.31i | 0.109315i | ||||||||
\(749\) | −2043.86 | + | 6687.83i | −0.0997077 | + | 0.326259i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 12875.3 | + | 22300.7i | 0.625601 | + | 1.08357i | 0.988424 | + | 0.151715i | \(0.0484796\pi\) |
−0.362823 | + | 0.931858i | \(0.618187\pi\) | |||||||
\(752\) | 16140.1 | + | 27955.5i | 0.782672 | + | 1.35563i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 12830.0 | + | 7407.41i | 0.619683 | + | 0.357774i | ||||
\(755\) | −11657.6 | −0.561939 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 14678.2 | 0.704741 | 0.352371 | − | 0.935861i | \(-0.385376\pi\) | ||||
0.352371 | + | 0.935861i | \(0.385376\pi\) | |||||||
\(758\) | 12575.0 | + | 7260.16i | 0.602564 | + | 0.347890i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5303.68 | − | 9186.25i | −0.253138 | − | 0.438448i | ||||
\(761\) | −15248.7 | − | 26411.6i | −0.726369 | − | 1.25811i | −0.958408 | − | 0.285401i | \(-0.907873\pi\) |
0.232039 | − | 0.972706i | \(-0.425460\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −20652.9 | − | 6311.71i | −0.979927 | − | 0.299475i | ||||
\(764\) | − | 3537.77i | − | 0.167529i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 14701.8i | 0.693470i | ||||||||
\(767\) | −9302.19 | − | 5370.62i | −0.437917 | − | 0.252832i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −30619.6 | + | 17678.2i | −1.43585 | + | 0.828989i | −0.997558 | − | 0.0698425i | \(-0.977750\pi\) |
−0.438294 | + | 0.898832i | \(0.644417\pi\) | |||||||
\(770\) | −33936.0 | + | 31652.8i | −1.58827 | + | 1.48141i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −2100.39 | + | 3637.98i | −0.0979205 | + | 0.169603i | ||||
\(773\) | 4097.47 | 0.190654 | 0.0953272 | − | 0.995446i | \(-0.469610\pi\) | ||||
0.0953272 | + | 0.995446i | \(0.469610\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 8366.32i | − | 0.387777i | ||||||
\(776\) | −7684.95 | + | 13310.7i | −0.355507 | + | 0.615757i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −7986.30 | − | 13832.7i | −0.368024 | − | 0.637436i | ||||
\(779\) | 10024.8 | − | 5787.84i | 0.461074 | − | 0.266201i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −21121.3 | + | 36583.2i | −0.967709 | + | 1.67612i | ||||
\(782\) | −19460.6 | −0.889908 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 21805.9 | − | 10641.4i | 0.993343 | − | 0.484759i | ||||
\(785\) | 18617.6 | + | 10748.9i | 0.846484 | + | 0.488718i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 29205.4 | − | 16861.7i | 1.32282 | − | 0.763730i | 0.338642 | − | 0.940915i | \(-0.390032\pi\) |
0.984178 | + | 0.177185i | \(0.0566990\pi\) | |||||||
\(788\) | 1749.04 | − | 1009.81i | 0.0790696 | − | 0.0456509i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 15617.8 | + | 9016.95i | 0.703363 | + | 0.406087i | ||||
\(791\) | 5814.88 | − | 1343.15i | 0.261382 | − | 0.0603754i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −11799.7 | −0.528396 | ||||||||
\(794\) | 1957.56 | − | 3390.59i | 0.0874950 | − | 0.151546i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2853.69 | − | 1647.58i | 0.127068 | − | 0.0733628i | ||||
\(797\) | 7132.81 | + | 12354.4i | 0.317010 | + | 0.549077i | 0.979863 | − | 0.199672i | \(-0.0639878\pi\) |
−0.662853 | + | 0.748750i | \(0.730654\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9936.12 | − | 17209.9i | 0.439943 | − | 0.762004i | ||||
\(800\) | − | 5103.54i | − | 0.225547i | ||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −6020.75 | −0.265087 | ||||||||
\(803\) | 3927.12 | − | 6801.97i | 0.172584 | − | 0.298925i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −29429.7 | − | 31552.5i | −1.28852 | − | 1.38146i | ||||
\(806\) | −6160.48 | + | 3556.75i | −0.269223 | + | 0.155436i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 10468.0 | + | 6043.68i | 0.455770 | + | 0.263139i | ||||
\(809\) | − | 13916.9i | − | 0.604812i | −0.953179 | − | 0.302406i | \(-0.902210\pi\) | ||
0.953179 | − | 0.302406i | \(-0.0977898\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 7296.14i | − | 0.315909i | −0.987446 | − | 0.157954i | \(-0.949510\pi\) | ||
0.987446 | − | 0.157954i | \(-0.0504899\pi\) | |||||||
\(812\) | −761.980 | + | 2493.31i | −0.0329313 | + | 0.107756i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3240.27 | + | 5612.31i | 0.139523 | + | 0.241660i | ||||
\(815\) | 14825.0 | + | 25677.7i | 0.637175 | + | 1.10362i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −14182.8 | − | 8188.42i | −0.607334 | − | 0.350645i | ||||
\(818\) | −212.619 | −0.00908809 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 5359.26 | 0.228236 | ||||||||
\(821\) | −30269.4 | − | 17476.0i | −1.28673 | − | 0.742897i | −0.308664 | − | 0.951171i | \(-0.599882\pi\) |
−0.978070 | + | 0.208274i | \(0.933215\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11765.3 | − | 20378.1i | −0.498314 | − | 0.863105i | 0.501684 | − | 0.865051i | \(-0.332714\pi\) |
−0.999998 | + | 0.00194598i | \(0.999381\pi\) | |||||||
\(824\) | −17281.4 | − | 29932.2i | −0.730614 | − | 1.26546i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 5170.71 | − | 16919.4i | 0.217811 | − | 0.712712i | ||||
\(827\) | − | 40158.9i | − | 1.68859i | −0.535880 | − | 0.844294i | \(-0.680020\pi\) | ||
0.535880 | − | 0.844294i | \(-0.319980\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 10739.4i | 0.449934i | 0.974366 | + | 0.224967i | \(0.0722275\pi\) | ||||
−0.974366 | + | 0.224967i | \(0.927773\pi\) | |||||||
\(830\) | −7999.52 | − | 4618.52i | −0.334539 | − | 0.193146i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 12734.9 | − | 7352.52i | 0.530654 | − | 0.306373i | ||||
\(833\) | −12385.4 | − | 8350.05i | −0.515160 | − | 0.347313i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 13050.4 | − | 22603.9i | 0.540870 | − | 0.936814i | ||||
\(836\) | 1656.22 | 0.0685187 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | − | 10924.7i | − | 0.450343i | ||||||
\(839\) | 9285.04 | − | 16082.2i | 0.382068 | − | 0.661762i | −0.609289 | − | 0.792948i | \(-0.708545\pi\) |
0.991358 | + | 0.131186i | \(0.0418786\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1375.69 | − | 2382.76i | −0.0564062 | − | 0.0976983i | ||||
\(842\) | 15396.3 | − | 8889.05i | 0.630156 | − | 0.363821i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1784.89 | − | 3091.52i | 0.0727944 | − | 0.126084i | ||||
\(845\) | −16610.1 | −0.676218 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 6453.50 | + | 27939.0i | 0.261801 | + | 1.13341i | ||||
\(848\) | 13074.7 | + | 7548.69i | 0.529466 | + | 0.305688i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −13370.0 | + | 7719.16i | −0.539513 | + | 0.311488i | ||||
\(851\) | −5218.13 | + | 3012.69i | −0.210194 | + | 0.121356i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4663.07 | + | 2692.22i | 0.187175 | + | 0.108066i | 0.590659 | − | 0.806921i | \(-0.298868\pi\) |
−0.403484 | + | 0.914987i | \(0.632201\pi\) | |||||||
\(854\) | −4374.06 | − | 18936.5i | −0.175266 | − | 0.758776i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −7959.13 | −0.317801 | ||||||||
\(857\) | 5528.79 | − | 9576.15i | 0.220373 | − | 0.381698i | −0.734548 | − | 0.678557i | \(-0.762606\pi\) |
0.954921 | + | 0.296859i | \(0.0959391\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 14136.9 | − | 8161.94i | 0.561519 | − | 0.324193i | −0.192236 | − | 0.981349i | \(-0.561574\pi\) |
0.753755 | + | 0.657156i | \(0.228241\pi\) | |||||||
\(860\) | −3791.04 | − | 6566.28i | −0.150318 | − | 0.260358i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −11235.2 | + | 19459.9i | −0.443935 | + | 0.768917i | ||||
\(863\) | 37617.5i | 1.48379i | 0.670515 | + | 0.741896i | \(0.266073\pi\) | ||||
−0.670515 | + | 0.741896i | \(0.733927\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15490.5 | 0.608895 | ||||||||
\(866\) | 10296.7 | − | 17834.5i | 0.404039 | − | 0.699816i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −853.864 | − | 915.453i | −0.0333894 | − | 0.0357978i | ||||
\(869\) | 17946.3 | − | 10361.3i | 0.700560 | − | 0.404468i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 16859.9 | + | 9734.08i | 0.655886 | + | 0.378676i | ||||
\(872\) | − | 24578.8i | − | 0.954523i | ||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 14412.6i | 0.557794i | ||||||||
\(875\) | 1809.58 | + | 553.025i | 0.0699144 | + | 0.0213665i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −21070.2 | − | 36494.6i | −0.811275 | − | 1.40517i | −0.911972 | − | 0.410253i | \(-0.865440\pi\) |
0.100696 | − | 0.994917i | \(-0.467893\pi\) | |||||||
\(878\) | −7767.19 | − | 13453.2i | −0.298553 | − | 0.517110i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −51291.6 | − | 29613.2i | −1.96482 | − | 1.13439i | ||||
\(881\) | −17255.0 | −0.659861 | −0.329930 | − | 0.944005i | \(-0.607025\pi\) | ||||
−0.329930 | + | 0.944005i | \(0.607025\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −26461.1 | −1.00848 | −0.504240 | − | 0.863564i | \(-0.668227\pi\) | ||||
−0.504240 | + | 0.863564i | \(0.668227\pi\) | |||||||
\(884\) | 1214.59 | + | 701.246i | 0.0462118 | + | 0.0266804i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1517.98 | − | 2629.23i | −0.0575595 | − | 0.0996959i | ||||
\(887\) | 9683.24 | + | 16771.9i | 0.366552 | + | 0.634886i | 0.989024 | − | 0.147756i | \(-0.0472050\pi\) |
−0.622472 | + | 0.782642i | \(0.713872\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 24022.5 | + | 7341.49i | 0.906286 | + | 0.276969i | ||||
\(890\) | − | 27832.3i | − | 1.04825i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2607.55i | 0.0978780i | ||||||||
\(893\) | −12745.7 | − | 7358.72i | −0.477624 | − | 0.275756i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1969.75 | − | 1137.23i | 0.0735658 | − | 0.0424732i | ||||
\(896\) | 20874.5 | + | 22380.2i | 0.778313 | + | 0.834452i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 9518.76 | − | 16487.0i | 0.353725 | − | 0.612670i | ||||
\(899\) | −10389.6 | −0.385441 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 9294.19i | − | 0.343656i | ||||||
\(902\) | 28818.9 | − | 49915.9i | 1.06382 | − | 1.84259i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3396.17 | + | 5882.34i | 0.124950 | + | 0.216420i | ||||
\(905\) | 30451.4 | − | 17581.1i | 1.11850 | − | 0.645764i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 569.688 | − | 986.728i | 0.0208558 | − | 0.0361232i | −0.855409 | − | 0.517953i | \(-0.826694\pi\) |
0.876265 | + | 0.481830i | \(0.160028\pi\) | |||||||
\(908\) | 5421.85 | 0.198161 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 6550.01 | + | 28356.8i | 0.238605 | + | 1.03299i | ||||
\(911\) | 7531.25 | + | 4348.17i | 0.273898 | + | 0.158135i | 0.630658 | − | 0.776061i | \(-0.282785\pi\) |
−0.356760 | + | 0.934196i | \(0.616118\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9192.18 | + | 5307.10i | −0.333205 | + | 0.192376i | ||||
\(914\) | 14556.1 | − | 8403.95i | 0.526775 | − | 0.304133i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 351.055 | + | 202.682i | 0.0126629 | + | 0.00731090i | ||||
\(917\) | 8161.24 | + | 35332.3i | 0.293902 | + | 1.27238i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2297.46 | −0.0824659 | −0.0412330 | − | 0.999150i | \(-0.513129\pi\) | ||||
−0.0412330 | + | 0.999150i | \(0.513129\pi\) | |||||||
\(920\) | 24553.5 | − | 42527.8i | 0.879895 | − | 1.52402i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 11982.3 | − | 6917.99i | 0.428000 | − | 0.247106i | ||||
\(923\) | 13246.1 | + | 22942.9i | 0.472374 | + | 0.818176i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2390.01 | + | 4139.61i | −0.0849545 | + | 0.147146i | ||||
\(926\) | − | 13048.9i | − | 0.463083i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −6337.74 | −0.224188 | ||||||||
\(929\) | −24197.9 | + | 41911.9i | −0.854581 | + | 1.48018i | 0.0224522 | + | 0.999748i | \(0.492853\pi\) |
−0.877033 | + | 0.480430i | \(0.840481\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6184.08 | + | 9172.67i | −0.217696 | + | 0.322902i | ||||
\(932\) | 194.603 | − | 112.354i | 0.00683951 | − | 0.00394879i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −28313.1 | − | 16346.6i | −0.991900 | − | 0.572673i | ||||
\(935\) | 36460.7i | 1.27529i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 23667.6i | 0.825172i | 0.910919 | + | 0.412586i | \(0.135374\pi\) | ||||
−0.910919 | + | 0.412586i | \(0.864626\pi\) | |||||||
\(938\) | −9371.76 | + | 30665.8i | −0.326225 | + | 1.06746i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3406.91 | − | 5900.94i | −0.118214 | − | 0.204753i | ||||
\(941\) | −5099.48 | − | 8832.56i | −0.176661 | − | 0.305987i | 0.764074 | − | 0.645129i | \(-0.223196\pi\) |
−0.940735 | + | 0.339143i | \(0.889863\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 46410.0 | + | 26794.9i | 1.60267 | + | 0.925303i | ||||
\(944\) | 22579.3 | 0.778489 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −81544.0 | −2.80256 | ||||||||
\(947\) | 2943.58 | + | 1699.47i | 0.101007 | + | 0.0583163i | 0.549652 | − | 0.835393i | \(-0.314760\pi\) |
−0.448646 | + | 0.893710i | \(0.648093\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −2462.87 | − | 4265.82i | −0.0842447 | − | 0.145916i | ||||
\(950\) | 5716.84 | + | 9901.85i | 0.195241 | + | 0.338167i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4968.67 | − | 16258.2i | 0.169155 | − | 0.553500i | ||||
\(953\) | − | 27410.8i | − | 0.931714i | −0.884860 | − | 0.465857i | \(-0.845746\pi\) | ||
0.884860 | − | 0.465857i | \(-0.154254\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 57679.7i | − | 1.95442i | ||||||
\(956\) | −1508.14 | − | 870.725i | −0.0510217 | − | 0.0294574i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 24869.3 | − | 14358.3i | 0.838716 | − | 0.484233i | ||||
\(959\) | 12535.6 | + | 13439.8i | 0.422101 | + | 0.452547i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −12401.2 | + | 21479.4i | −0.416272 | + | 0.721005i | ||||
\(962\) | 4064.23 | 0.136212 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2606.21i | 0.0870750i | ||||||||
\(965\) | −34244.6 | + | 59313.4i | −1.14236 | + | 1.97862i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 18511.5 | + | 32062.9i | 0.615606 | + | 1.06626i | 0.990278 | + | 0.139103i | \(0.0444221\pi\) |
−0.374672 | + | 0.927158i | \(0.622245\pi\) | |||||||
\(968\) | −28263.2 | + | 16317.8i | −0.938443 | + | 0.541810i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 17025.1 | − | 29488.4i | 0.563550 | − | 0.976098i | ||||
\(971\) | 17050.2 | 0.563509 | 0.281754 | − | 0.959487i | \(-0.409084\pi\) | ||||
0.281754 | + | 0.959487i | \(0.409084\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15047.5 | − | 3475.74i | 0.495786 | − | 0.114519i | ||||
\(974\) | 21358.2 | + | 12331.1i | 0.702628 | + | 0.405662i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 21481.1 | − | 12402.1i | 0.704501 | − | 0.406744i | ||||
\(977\) | 14180.0 | − | 8186.83i | 0.464338 | − | 0.268086i | −0.249528 | − | 0.968367i | \(-0.580276\pi\) |
0.713867 | + | 0.700282i | \(0.246942\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −27697.1 | − | 15990.9i | −0.904190 | − | 0.522034i | ||||
\(980\) | −4602.86 | + | 2246.23i | −0.150034 | + | 0.0732176i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 6021.56 | 0.195678 | ||||||||
\(983\) | −10769.1 | + | 18652.7i | −0.349423 | + | 0.605218i | −0.986147 | − | 0.165874i | \(-0.946956\pi\) |
0.636724 | + | 0.771092i | \(0.280289\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 28516.2 | − | 16463.8i | 0.922438 | − | 0.532570i | ||||
\(986\) | 9585.89 | + | 16603.3i | 0.309612 | + | 0.536263i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 519.345 | − | 899.533i | 0.0167233 | − | 0.0289655i | ||||
\(989\) | − | 75816.8i | − | 2.43765i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 39248.1 | 1.25808 | 0.629040 | − | 0.777373i | \(-0.283448\pi\) | ||||
0.629040 | + | 0.777373i | \(0.283448\pi\) | |||||||
\(992\) | 1521.57 | − | 2635.44i | 0.0486995 | − | 0.0843500i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −31909.5 | + | 29762.7i | −1.01822 | + | 0.949713i | ||||
\(995\) | 46526.3 | − | 26862.0i | 1.48240 | − | 0.855862i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 3452.73 | + | 1993.43i | 0.109678 | + | 0.0633226i | 0.553836 | − | 0.832626i | \(-0.313164\pi\) |
−0.444158 | + | 0.895949i | \(0.646497\pi\) | |||||||
\(998\) | 43015.9i | 1.36437i | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 189.4.o.a.62.6 | 44 | ||
3.2 | odd | 2 | 63.4.o.a.20.17 | ✓ | 44 | ||
7.6 | odd | 2 | inner | 189.4.o.a.62.5 | 44 | ||
9.2 | odd | 6 | 567.4.c.c.566.37 | 44 | |||
9.4 | even | 3 | 63.4.o.a.41.18 | yes | 44 | ||
9.5 | odd | 6 | inner | 189.4.o.a.125.5 | 44 | ||
9.7 | even | 3 | 567.4.c.c.566.8 | 44 | |||
21.20 | even | 2 | 63.4.o.a.20.18 | yes | 44 | ||
63.13 | odd | 6 | 63.4.o.a.41.17 | yes | 44 | ||
63.20 | even | 6 | 567.4.c.c.566.7 | 44 | |||
63.34 | odd | 6 | 567.4.c.c.566.38 | 44 | |||
63.41 | even | 6 | inner | 189.4.o.a.125.6 | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
63.4.o.a.20.17 | ✓ | 44 | 3.2 | odd | 2 | ||
63.4.o.a.20.18 | yes | 44 | 21.20 | even | 2 | ||
63.4.o.a.41.17 | yes | 44 | 63.13 | odd | 6 | ||
63.4.o.a.41.18 | yes | 44 | 9.4 | even | 3 | ||
189.4.o.a.62.5 | 44 | 7.6 | odd | 2 | inner | ||
189.4.o.a.62.6 | 44 | 1.1 | even | 1 | trivial | ||
189.4.o.a.125.5 | 44 | 9.5 | odd | 6 | inner | ||
189.4.o.a.125.6 | 44 | 63.41 | even | 6 | inner | ||
567.4.c.c.566.7 | 44 | 63.20 | even | 6 | |||
567.4.c.c.566.8 | 44 | 9.7 | even | 3 | |||
567.4.c.c.566.37 | 44 | 9.2 | odd | 6 | |||
567.4.c.c.566.38 | 44 | 63.34 | odd | 6 |