Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,3,Mod(43,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 5, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.43");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.w (of order \(8\), degree \(4\), 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: | \(6.10355792167\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 43.16 | ||
Character | \(\chi\) | \(=\) | 224.43 |
Dual form | 224.3.w.a.99.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00544 | − | 1.72890i | −0.502720 | − | 0.864449i | ||||
\(3\) | −0.343872 | − | 0.830180i | −0.114624 | − | 0.276727i | 0.856148 | − | 0.516731i | \(-0.172851\pi\) |
−0.970772 | + | 0.240004i | \(0.922851\pi\) | |||||||
\(4\) | −1.97818 | + | 3.47661i | −0.494545 | + | 0.869152i | ||||
\(5\) | −1.68929 | + | 4.07830i | −0.337857 | + | 0.815659i | 0.660064 | + | 0.751209i | \(0.270529\pi\) |
−0.997921 | + | 0.0644497i | \(0.979471\pi\) | |||||||
\(6\) | −1.08955 | + | 1.42922i | −0.181592 | + | 0.238203i | ||||
\(7\) | −1.87083 | + | 1.87083i | −0.267261 | + | 0.267261i | ||||
\(8\) | 7.99964 | − | 0.0754426i | 0.999956 | − | 0.00943033i | ||||
\(9\) | 5.79301 | − | 5.79301i | 0.643668 | − | 0.643668i | ||||
\(10\) | 8.74944 | − | 1.17988i | 0.874944 | − | 0.117988i | ||||
\(11\) | 1.83307 | − | 4.42543i | 0.166643 | − | 0.402312i | −0.818393 | − | 0.574659i | \(-0.805135\pi\) |
0.985036 | + | 0.172346i | \(0.0551348\pi\) | |||||||
\(12\) | 3.56645 | + | 0.446740i | 0.297204 | + | 0.0372283i | ||||
\(13\) | −5.16372 | − | 12.4663i | −0.397209 | − | 0.958947i | −0.988325 | − | 0.152361i | \(-0.951312\pi\) |
0.591116 | − | 0.806587i | \(-0.298688\pi\) | |||||||
\(14\) | 5.11548 | + | 1.35347i | 0.365391 | + | 0.0966763i | ||||
\(15\) | 3.96662 | 0.264441 | ||||||||
\(16\) | −8.17359 | − | 13.7547i | −0.510850 | − | 0.859670i | ||||
\(17\) | − | 25.5323i | − | 1.50190i | −0.660359 | − | 0.750950i | \(-0.729596\pi\) | ||
0.660359 | − | 0.750950i | \(-0.270404\pi\) | |||||||
\(18\) | −15.8401 | − | 4.19101i | −0.880003 | − | 0.232834i | ||||
\(19\) | 20.0221 | − | 8.29342i | 1.05379 | − | 0.436496i | 0.212549 | − | 0.977150i | \(-0.431823\pi\) |
0.841245 | + | 0.540655i | \(0.181823\pi\) | |||||||
\(20\) | −10.8369 | − | 13.9406i | −0.541846 | − | 0.697030i | ||||
\(21\) | 2.19645 | + | 0.909799i | 0.104593 | + | 0.0433238i | ||||
\(22\) | −9.49417 | + | 1.28031i | −0.431553 | + | 0.0581958i | ||||
\(23\) | 19.0131 | + | 19.0131i | 0.826658 | + | 0.826658i | 0.987053 | − | 0.160395i | \(-0.0512766\pi\) |
−0.160395 | + | 0.987053i | \(0.551277\pi\) | |||||||
\(24\) | −2.81348 | − | 6.61520i | −0.117228 | − | 0.275633i | ||||
\(25\) | 3.89886 | + | 3.89886i | 0.155954 | + | 0.155954i | ||||
\(26\) | −16.3612 | + | 21.4617i | −0.629276 | + | 0.825449i | ||||
\(27\) | −14.2729 | − | 5.91203i | −0.528626 | − | 0.218964i | ||||
\(28\) | −2.80330 | − | 10.2050i | −0.100118 | − | 0.364463i | ||||
\(29\) | −28.8850 | + | 11.9646i | −0.996036 | + | 0.412572i | −0.820342 | − | 0.571873i | \(-0.806217\pi\) |
−0.175694 | + | 0.984445i | \(0.556217\pi\) | |||||||
\(30\) | −3.98819 | − | 6.85788i | −0.132940 | − | 0.228596i | ||||
\(31\) | − | 20.2039i | − | 0.651739i | −0.945415 | − | 0.325870i | \(-0.894343\pi\) | ||
0.945415 | − | 0.325870i | \(-0.105657\pi\) | |||||||
\(32\) | −15.5625 | + | 27.9609i | −0.486327 | + | 0.873777i | ||||
\(33\) | −4.30425 | −0.130432 | ||||||||
\(34\) | −44.1428 | + | 25.6712i | −1.29832 | + | 0.755035i | ||||
\(35\) | −4.46943 | − | 10.7902i | −0.127698 | − | 0.308290i | ||||
\(36\) | 8.68039 | + | 31.5996i | 0.241122 | + | 0.877768i | ||||
\(37\) | 20.6185 | − | 49.7775i | 0.557257 | − | 1.34534i | −0.354673 | − | 0.934990i | \(-0.615408\pi\) |
0.911930 | − | 0.410346i | \(-0.134592\pi\) | |||||||
\(38\) | −34.4695 | − | 26.2776i | −0.907091 | − | 0.691516i | ||||
\(39\) | −8.57363 | + | 8.57363i | −0.219837 | + | 0.219837i | ||||
\(40\) | −13.2060 | + | 32.7524i | −0.330150 | + | 0.818809i | ||||
\(41\) | 48.4204 | − | 48.4204i | 1.18098 | − | 1.18098i | 0.201495 | − | 0.979489i | \(-0.435420\pi\) |
0.979489 | − | 0.201495i | \(-0.0645801\pi\) | |||||||
\(42\) | −0.635447 | − | 4.71219i | −0.0151297 | − | 0.112195i | ||||
\(43\) | −1.98997 | + | 4.80421i | −0.0462783 | + | 0.111726i | −0.945328 | − | 0.326120i | \(-0.894259\pi\) |
0.899050 | + | 0.437846i | \(0.144259\pi\) | |||||||
\(44\) | 11.7593 | + | 15.1272i | 0.267258 | + | 0.343800i | ||||
\(45\) | 13.8396 | + | 33.4117i | 0.307546 | + | 0.742481i | ||||
\(46\) | 13.7552 | − | 51.9884i | 0.299027 | − | 1.13018i | ||||
\(47\) | −0.301912 | −0.00642367 | −0.00321183 | − | 0.999995i | \(-0.501022\pi\) | ||||
−0.00321183 | + | 0.999995i | \(0.501022\pi\) | |||||||
\(48\) | −8.60823 | + | 11.5154i | −0.179338 | + | 0.239904i | ||||
\(49\) | − | 7.00000i | − | 0.142857i | ||||||
\(50\) | 2.82066 | − | 10.6608i | 0.0564133 | − | 0.213216i | ||||
\(51\) | −21.1964 | + | 8.77984i | −0.415616 | + | 0.172154i | ||||
\(52\) | 53.5552 | + | 6.70842i | 1.02991 | + | 0.129008i | ||||
\(53\) | −57.5410 | − | 23.8343i | −1.08568 | − | 0.449703i | −0.233181 | − | 0.972433i | \(-0.574913\pi\) |
−0.852498 | + | 0.522730i | \(0.824913\pi\) | |||||||
\(54\) | 4.12925 | + | 30.6206i | 0.0764675 | + | 0.567048i | ||||
\(55\) | 14.9516 | + | 14.9516i | 0.271848 | + | 0.271848i | ||||
\(56\) | −14.8248 | + | 15.1071i | −0.264729 | + | 0.269770i | ||||
\(57\) | −13.7701 | − | 13.7701i | −0.241580 | − | 0.241580i | ||||
\(58\) | 49.7277 | + | 37.9097i | 0.857374 | + | 0.653615i | ||||
\(59\) | 10.1059 | + | 4.18602i | 0.171287 | + | 0.0709494i | 0.466679 | − | 0.884427i | \(-0.345450\pi\) |
−0.295392 | + | 0.955376i | \(0.595450\pi\) | |||||||
\(60\) | −7.84669 | + | 13.7904i | −0.130778 | + | 0.229840i | ||||
\(61\) | 41.4624 | − | 17.1743i | 0.679712 | − | 0.281546i | −0.0159947 | − | 0.999872i | \(-0.505091\pi\) |
0.695706 | + | 0.718326i | \(0.255091\pi\) | |||||||
\(62\) | −34.9305 | + | 20.3138i | −0.563396 | + | 0.327642i | ||||
\(63\) | 21.6755i | 0.344055i | ||||||||
\(64\) | 63.9886 | − | 1.20703i | 0.999822 | − | 0.0188598i | ||||
\(65\) | 59.5643 | 0.916374 | ||||||||
\(66\) | 4.32766 | + | 7.44161i | 0.0655707 | + | 0.112752i | ||||
\(67\) | 20.6489 | + | 49.8508i | 0.308192 | + | 0.744042i | 0.999764 | + | 0.0217341i | \(0.00691874\pi\) |
−0.691571 | + | 0.722308i | \(0.743081\pi\) | |||||||
\(68\) | 88.7658 | + | 50.5076i | 1.30538 | + | 0.742758i | ||||
\(69\) | 9.24625 | − | 22.3224i | 0.134004 | − | 0.323513i | ||||
\(70\) | −14.1613 | + | 18.5760i | −0.202305 | + | 0.265372i | ||||
\(71\) | −61.3241 | + | 61.3241i | −0.863720 | + | 0.863720i | −0.991768 | − | 0.128048i | \(-0.959129\pi\) |
0.128048 | + | 0.991768i | \(0.459129\pi\) | |||||||
\(72\) | 45.9050 | − | 46.7791i | 0.637569 | − | 0.649709i | ||||
\(73\) | 41.1271 | − | 41.1271i | 0.563385 | − | 0.563385i | −0.366882 | − | 0.930267i | \(-0.619575\pi\) |
0.930267 | + | 0.366882i | \(0.119575\pi\) | |||||||
\(74\) | −106.791 | + | 14.4009i | −1.44312 | + | 0.194607i | ||||
\(75\) | 1.89605 | − | 4.57746i | 0.0252806 | − | 0.0610328i | ||||
\(76\) | −10.7744 | + | 86.0148i | −0.141768 | + | 1.13177i | ||||
\(77\) | 4.84986 | + | 11.7086i | 0.0629852 | + | 0.152060i | ||||
\(78\) | 23.4432 | + | 6.20267i | 0.300554 | + | 0.0795214i | ||||
\(79\) | 68.4372 | 0.866294 | 0.433147 | − | 0.901323i | \(-0.357403\pi\) | ||||
0.433147 | + | 0.901323i | \(0.357403\pi\) | |||||||
\(80\) | 69.9034 | − | 10.0987i | 0.873792 | − | 0.126233i | ||||
\(81\) | − | 59.8509i | − | 0.738900i | ||||||
\(82\) | −132.398 | − | 35.0302i | −1.61461 | − | 0.427197i | ||||
\(83\) | −105.678 | + | 43.7731i | −1.27323 | + | 0.527387i | −0.913943 | − | 0.405842i | \(-0.866978\pi\) |
−0.359282 | + | 0.933229i | \(0.616978\pi\) | |||||||
\(84\) | −7.50799 | + | 5.83644i | −0.0893809 | + | 0.0694815i | ||||
\(85\) | 104.128 | + | 43.1314i | 1.22504 | + | 0.507428i | ||||
\(86\) | 10.3068 | − | 1.38989i | 0.119846 | − | 0.0161615i | ||||
\(87\) | 19.8655 | + | 19.8655i | 0.228339 | + | 0.228339i | ||||
\(88\) | 14.3301 | − | 35.5402i | 0.162842 | − | 0.403866i | ||||
\(89\) | 48.8993 | + | 48.8993i | 0.549430 | + | 0.549430i | 0.926276 | − | 0.376846i | \(-0.122991\pi\) |
−0.376846 | + | 0.926276i | \(0.622991\pi\) | |||||||
\(90\) | 43.8505 | − | 57.5206i | 0.487228 | − | 0.639118i | ||||
\(91\) | 32.9828 | + | 13.6619i | 0.362448 | + | 0.150131i | ||||
\(92\) | −103.713 | + | 28.4898i | −1.12731 | + | 0.309671i | ||||
\(93\) | −16.7729 | + | 6.94756i | −0.180354 | + | 0.0747049i | ||||
\(94\) | 0.303555 | + | 0.521976i | 0.00322931 | + | 0.00555294i | ||||
\(95\) | 95.6659i | 1.00701i | ||||||||
\(96\) | 28.5640 | + | 3.30470i | 0.297542 | + | 0.0344239i | ||||
\(97\) | −140.318 | −1.44658 | −0.723289 | − | 0.690545i | \(-0.757371\pi\) | ||||
−0.723289 | + | 0.690545i | \(0.757371\pi\) | |||||||
\(98\) | −12.1023 | + | 7.03808i | −0.123493 | + | 0.0718171i | ||||
\(99\) | −15.0176 | − | 36.2556i | −0.151693 | − | 0.366218i | ||||
\(100\) | −21.2674 | + | 5.84215i | −0.212674 | + | 0.0584215i | ||||
\(101\) | −15.6876 | + | 37.8733i | −0.155323 | + | 0.374983i | −0.982316 | − | 0.187229i | \(-0.940050\pi\) |
0.826993 | + | 0.562212i | \(0.190050\pi\) | |||||||
\(102\) | 36.4912 | + | 27.8189i | 0.357757 | + | 0.272734i | ||||
\(103\) | 138.293 | − | 138.293i | 1.34265 | − | 1.34265i | 0.449247 | − | 0.893408i | \(-0.351692\pi\) |
0.893408 | − | 0.449247i | \(-0.148308\pi\) | |||||||
\(104\) | −42.2484 | − | 99.3365i | −0.406234 | − | 0.955159i | ||||
\(105\) | −7.42086 | + | 7.42086i | −0.0706749 | + | 0.0706749i | ||||
\(106\) | 16.6470 | + | 123.446i | 0.157047 | + | 1.16459i | ||||
\(107\) | −69.6503 | + | 168.151i | −0.650938 | + | 1.57150i | 0.160482 | + | 0.987039i | \(0.448695\pi\) |
−0.811420 | + | 0.584464i | \(0.801305\pi\) | |||||||
\(108\) | 48.7882 | − | 37.9262i | 0.451743 | − | 0.351169i | ||||
\(109\) | 33.9441 | + | 81.9483i | 0.311414 | + | 0.751819i | 0.999653 | + | 0.0263355i | \(0.00838383\pi\) |
−0.688239 | + | 0.725484i | \(0.741616\pi\) | |||||||
\(110\) | 10.8169 | − | 40.8829i | 0.0983355 | − | 0.371662i | ||||
\(111\) | −48.4144 | −0.436165 | ||||||||
\(112\) | 41.0241 | + | 10.4413i | 0.366287 | + | 0.0932262i | ||||
\(113\) | − | 197.649i | − | 1.74911i | −0.484926 | − | 0.874555i | \(-0.661153\pi\) | ||
0.484926 | − | 0.874555i | \(-0.338847\pi\) | |||||||
\(114\) | −9.96207 | + | 37.6520i | −0.0873866 | + | 0.330281i | ||||
\(115\) | −109.660 | + | 45.4226i | −0.953564 | + | 0.394979i | ||||
\(116\) | 15.5437 | − | 124.090i | 0.133998 | − | 1.06974i | ||||
\(117\) | −102.131 | − | 42.3040i | −0.872914 | − | 0.361573i | ||||
\(118\) | −2.92371 | − | 21.6809i | −0.0247772 | − | 0.183737i | ||||
\(119\) | 47.7666 | + | 47.7666i | 0.401400 | + | 0.401400i | ||||
\(120\) | 31.7315 | − | 0.299252i | 0.264429 | − | 0.00249377i | ||||
\(121\) | 69.3356 | + | 69.3356i | 0.573022 | + | 0.573022i | ||||
\(122\) | −71.3806 | − | 54.4166i | −0.585087 | − | 0.446038i | ||||
\(123\) | −56.8480 | − | 23.5472i | −0.462179 | − | 0.191441i | ||||
\(124\) | 70.2411 | + | 39.9670i | 0.566460 | + | 0.322315i | ||||
\(125\) | −124.444 | + | 51.5465i | −0.995555 | + | 0.412372i | ||||
\(126\) | 37.4747 | − | 21.7934i | 0.297418 | − | 0.172963i | ||||
\(127\) | 75.1216i | 0.591509i | 0.955264 | + | 0.295754i | \(0.0955710\pi\) | ||||
−0.955264 | + | 0.295754i | \(0.904429\pi\) | |||||||
\(128\) | −66.4235 | − | 109.416i | −0.518934 | − | 0.854814i | ||||
\(129\) | 4.67265 | 0.0362221 | ||||||||
\(130\) | −59.8883 | − | 102.981i | −0.460679 | − | 0.792159i | ||||
\(131\) | −38.2947 | − | 92.4517i | −0.292326 | − | 0.705738i | 0.707674 | − | 0.706540i | \(-0.249745\pi\) |
−1.00000 | 0.000801796i | \(0.999745\pi\) | ||||||||
\(132\) | 8.51459 | − | 14.9642i | 0.0645045 | − | 0.113365i | ||||
\(133\) | −21.9423 | + | 52.9734i | −0.164980 | + | 0.398297i | ||||
\(134\) | 65.4258 | − | 85.8218i | 0.488252 | − | 0.640462i | ||||
\(135\) | 48.2221 | − | 48.2221i | 0.357200 | − | 0.357200i | ||||
\(136\) | −1.92622 | − | 204.249i | −0.0141634 | − | 1.50183i | ||||
\(137\) | −43.7701 | + | 43.7701i | −0.319489 | + | 0.319489i | −0.848571 | − | 0.529082i | \(-0.822537\pi\) |
0.529082 | + | 0.848571i | \(0.322537\pi\) | |||||||
\(138\) | −47.8897 | + | 6.45802i | −0.347027 | + | 0.0467972i | ||||
\(139\) | 41.2233 | − | 99.5219i | 0.296571 | − | 0.715985i | −0.703416 | − | 0.710779i | \(-0.748343\pi\) |
0.999986 | − | 0.00520627i | \(-0.00165722\pi\) | |||||||
\(140\) | 46.3545 | + | 5.80644i | 0.331103 | + | 0.0414746i | ||||
\(141\) | 0.103819 | + | 0.250642i | 0.000736306 | + | 0.00177760i | ||||
\(142\) | 167.681 | + | 44.3655i | 1.18085 | + | 0.312433i | ||||
\(143\) | −64.6343 | −0.451988 | ||||||||
\(144\) | −127.031 | − | 32.3315i | −0.882159 | − | 0.224525i | ||||
\(145\) | − | 138.013i | − | 0.951816i | ||||||
\(146\) | −112.455 | − | 29.7538i | −0.770243 | − | 0.203793i | ||||
\(147\) | −5.81126 | + | 2.40710i | −0.0395324 | + | 0.0163748i | ||||
\(148\) | 132.270 | + | 170.151i | 0.893713 | + | 1.14967i | ||||
\(149\) | 42.4781 | + | 17.5950i | 0.285088 | + | 0.118087i | 0.520645 | − | 0.853773i | \(-0.325691\pi\) |
−0.235557 | + | 0.971861i | \(0.575691\pi\) | |||||||
\(150\) | −9.82033 | + | 1.32429i | −0.0654688 | + | 0.00882859i | ||||
\(151\) | 7.69062 | + | 7.69062i | 0.0509313 | + | 0.0509313i | 0.732114 | − | 0.681182i | \(-0.238534\pi\) |
−0.681182 | + | 0.732114i | \(0.738534\pi\) | |||||||
\(152\) | 159.544 | − | 67.8549i | 1.04963 | − | 0.446414i | ||||
\(153\) | −147.909 | − | 147.909i | −0.966725 | − | 0.966725i | ||||
\(154\) | 15.3667 | − | 20.1572i | 0.0997840 | − | 0.130891i | ||||
\(155\) | 82.3975 | + | 34.1302i | 0.531597 | + | 0.220195i | ||||
\(156\) | −12.8469 | − | 46.7673i | −0.0823522 | − | 0.299791i | ||||
\(157\) | −198.237 | + | 82.1123i | −1.26265 | + | 0.523008i | −0.910723 | − | 0.413018i | \(-0.864475\pi\) |
−0.351931 | + | 0.936026i | \(0.614475\pi\) | |||||||
\(158\) | −68.8095 | − | 118.321i | −0.435503 | − | 0.748867i | ||||
\(159\) | 55.9653i | 0.351983i | ||||||||
\(160\) | −87.7432 | − | 110.702i | −0.548395 | − | 0.691889i | ||||
\(161\) | −71.1407 | −0.441868 | ||||||||
\(162\) | −103.476 | + | 60.1765i | −0.638742 | + | 0.371460i | ||||
\(163\) | −27.7685 | − | 67.0390i | −0.170359 | − | 0.411282i | 0.815523 | − | 0.578724i | \(-0.196449\pi\) |
−0.985882 | + | 0.167442i | \(0.946449\pi\) | |||||||
\(164\) | 72.5543 | + | 264.123i | 0.442404 | + | 1.61051i | ||||
\(165\) | 7.27111 | − | 17.5540i | 0.0440673 | − | 0.106388i | ||||
\(166\) | 181.932 | + | 138.695i | 1.09598 | + | 0.835511i | ||||
\(167\) | −36.9123 | + | 36.9123i | −0.221032 | + | 0.221032i | −0.808933 | − | 0.587901i | \(-0.799954\pi\) |
0.587901 | + | 0.808933i | \(0.299954\pi\) | |||||||
\(168\) | 17.6395 | + | 7.11236i | 0.104997 | + | 0.0423355i | ||||
\(169\) | −9.24397 | + | 9.24397i | −0.0546980 | + | 0.0546980i | ||||
\(170\) | −30.1250 | − | 223.393i | −0.177206 | − | 1.31408i | ||||
\(171\) | 67.9443 | − | 164.032i | 0.397335 | − | 0.959251i | ||||
\(172\) | −12.7658 | − | 16.4219i | −0.0742199 | − | 0.0954764i | ||||
\(173\) | −26.2498 | − | 63.3727i | −0.151733 | − | 0.366316i | 0.829676 | − | 0.558246i | \(-0.188525\pi\) |
−0.981409 | + | 0.191930i | \(0.938525\pi\) | |||||||
\(174\) | 14.3719 | − | 54.3190i | 0.0825970 | − | 0.312178i | ||||
\(175\) | −14.5882 | −0.0833611 | ||||||||
\(176\) | −75.8534 | + | 10.9583i | −0.430985 | + | 0.0622629i | ||||
\(177\) | − | 9.82920i | − | 0.0555322i | ||||||
\(178\) | 35.3766 | − | 133.707i | 0.198745 | − | 0.751164i | ||||
\(179\) | −254.465 | + | 105.403i | −1.42159 | + | 0.588842i | −0.955260 | − | 0.295768i | \(-0.904425\pi\) |
−0.466331 | + | 0.884610i | \(0.654425\pi\) | |||||||
\(180\) | −143.536 | − | 17.9796i | −0.797424 | − | 0.0998868i | ||||
\(181\) | 37.7918 | + | 15.6539i | 0.208794 | + | 0.0864855i | 0.484630 | − | 0.874719i | \(-0.338954\pi\) |
−0.275835 | + | 0.961205i | \(0.588954\pi\) | |||||||
\(182\) | −9.54213 | − | 70.7601i | −0.0524293 | − | 0.388792i | ||||
\(183\) | −28.5155 | − | 28.5155i | −0.155822 | − | 0.155822i | ||||
\(184\) | 153.533 | + | 150.664i | 0.834417 | + | 0.818826i | ||||
\(185\) | 168.177 | + | 168.177i | 0.909063 | + | 0.909063i | ||||
\(186\) | 28.8757 | + | 22.0133i | 0.155246 | + | 0.118351i | ||||
\(187\) | −112.992 | − | 46.8026i | −0.604233 | − | 0.250282i | ||||
\(188\) | 0.597238 | − | 1.04963i | 0.00317680 | − | 0.00558314i | ||||
\(189\) | 37.7626 | − | 15.6418i | 0.199802 | − | 0.0827607i | ||||
\(190\) | 165.397 | − | 96.1863i | 0.870509 | − | 0.506244i | ||||
\(191\) | 370.891i | 1.94184i | 0.239409 | + | 0.970919i | \(0.423046\pi\) | ||||
−0.239409 | + | 0.970919i | \(0.576954\pi\) | |||||||
\(192\) | −23.0059 | − | 52.7070i | −0.119823 | − | 0.274516i | ||||
\(193\) | 173.819 | 0.900617 | 0.450308 | − | 0.892873i | \(-0.351314\pi\) | ||||
0.450308 | + | 0.892873i | \(0.351314\pi\) | |||||||
\(194\) | 141.081 | + | 242.596i | 0.727224 | + | 1.25049i | ||||
\(195\) | −20.4825 | − | 49.4491i | −0.105038 | − | 0.253585i | ||||
\(196\) | 24.3362 | + | 13.8473i | 0.124165 | + | 0.0706494i | ||||
\(197\) | 64.4972 | − | 155.710i | 0.327397 | − | 0.790406i | −0.671387 | − | 0.741107i | \(-0.734301\pi\) |
0.998784 | − | 0.0492994i | \(-0.0156988\pi\) | |||||||
\(198\) | −47.5830 | + | 62.4167i | −0.240318 | + | 0.315236i | ||||
\(199\) | −1.38471 | + | 1.38471i | −0.00695836 | + | 0.00695836i | −0.710577 | − | 0.703619i | \(-0.751566\pi\) |
0.703619 | + | 0.710577i | \(0.251566\pi\) | |||||||
\(200\) | 31.4836 | + | 30.8953i | 0.157418 | + | 0.154477i | ||||
\(201\) | 34.2846 | − | 34.2846i | 0.170570 | − | 0.170570i | ||||
\(202\) | 81.2521 | − | 10.9570i | 0.402238 | − | 0.0542426i | ||||
\(203\) | 31.6553 | − | 76.4226i | 0.155937 | − | 0.376466i | ||||
\(204\) | 11.4063 | − | 91.0597i | 0.0559132 | − | 0.446371i | ||||
\(205\) | 115.677 | + | 279.268i | 0.564277 | + | 1.36229i | ||||
\(206\) | −378.141 | − | 100.050i | −1.83564 | − | 0.485678i | ||||
\(207\) | 220.287 | 1.06419 | ||||||||
\(208\) | −129.265 | + | 172.920i | −0.621464 | + | 0.831346i | ||||
\(209\) | − | 103.809i | − | 0.496693i | ||||||
\(210\) | 20.2911 | + | 5.36869i | 0.0966245 | + | 0.0255652i | ||||
\(211\) | 15.7733 | − | 6.53352i | 0.0747551 | − | 0.0309646i | −0.344993 | − | 0.938605i | \(-0.612119\pi\) |
0.419748 | + | 0.907641i | \(0.362119\pi\) | |||||||
\(212\) | 196.689 | − | 152.899i | 0.927778 | − | 0.721221i | ||||
\(213\) | 71.9977 | + | 29.8224i | 0.338017 | + | 0.140011i | ||||
\(214\) | 360.745 | − | 48.6471i | 1.68572 | − | 0.227323i | ||||
\(215\) | −16.2314 | − | 16.2314i | −0.0754947 | − | 0.0754947i | ||||
\(216\) | −114.624 | − | 46.2174i | −0.530668 | − | 0.213969i | ||||
\(217\) | 37.7981 | + | 37.7981i | 0.174185 | + | 0.174185i | ||||
\(218\) | 107.552 | − | 141.080i | 0.493356 | − | 0.647156i | ||||
\(219\) | −48.2853 | − | 20.0004i | −0.220481 | − | 0.0913262i | ||||
\(220\) | −81.5581 | + | 22.4039i | −0.370718 | + | 0.101836i | ||||
\(221\) | −318.294 | + | 131.842i | −1.44024 | + | 0.596568i | ||||
\(222\) | 48.6777 | + | 83.7035i | 0.219269 | + | 0.377043i | ||||
\(223\) | − | 54.6541i | − | 0.245085i | −0.992463 | − | 0.122543i | \(-0.960895\pi\) | ||
0.992463 | − | 0.122543i | \(-0.0391049\pi\) | |||||||
\(224\) | −23.1953 | − | 81.4247i | −0.103550 | − | 0.363503i | ||||
\(225\) | 45.1722 | 0.200765 | ||||||||
\(226\) | −341.716 | + | 198.725i | −1.51202 | + | 0.879313i | ||||
\(227\) | −83.2494 | − | 200.982i | −0.366737 | − | 0.885382i | −0.994280 | − | 0.106801i | \(-0.965939\pi\) |
0.627543 | − | 0.778582i | \(-0.284061\pi\) | |||||||
\(228\) | 75.1128 | − | 20.6334i | 0.329442 | − | 0.0904974i | ||||
\(229\) | −9.36982 | + | 22.6207i | −0.0409162 | + | 0.0987805i | −0.943017 | − | 0.332746i | \(-0.892025\pi\) |
0.902100 | + | 0.431526i | \(0.142025\pi\) | |||||||
\(230\) | 188.787 | + | 143.921i | 0.820815 | + | 0.625744i | ||||
\(231\) | 8.05251 | − | 8.05251i | 0.0348594 | − | 0.0348594i | ||||
\(232\) | −230.167 | + | 97.8915i | −0.992101 | + | 0.421946i | ||||
\(233\) | −25.7958 | + | 25.7958i | −0.110712 | + | 0.110712i | −0.760293 | − | 0.649581i | \(-0.774944\pi\) |
0.649581 | + | 0.760293i | \(0.274944\pi\) | |||||||
\(234\) | 29.5471 | + | 219.108i | 0.126270 | + | 0.936360i | ||||
\(235\) | 0.510016 | − | 1.23129i | 0.00217028 | − | 0.00523952i | ||||
\(236\) | −34.5445 | + | 26.8537i | −0.146375 | + | 0.113787i | ||||
\(237\) | −23.5336 | − | 56.8152i | −0.0992980 | − | 0.239727i | ||||
\(238\) | 34.5572 | − | 130.610i | 0.145198 | − | 0.548782i | ||||
\(239\) | 452.784 | 1.89450 | 0.947248 | − | 0.320502i | \(-0.103852\pi\) | ||||
0.947248 | + | 0.320502i | \(0.103852\pi\) | |||||||
\(240\) | −32.4215 | − | 54.5597i | −0.135090 | − | 0.227332i | ||||
\(241\) | 234.751i | 0.974071i | 0.873382 | + | 0.487035i | \(0.161922\pi\) | ||||
−0.873382 | + | 0.487035i | \(0.838078\pi\) | |||||||
\(242\) | 50.1615 | − | 189.587i | 0.207279 | − | 0.783418i | ||||
\(243\) | −178.143 | + | 73.7894i | −0.733100 | + | 0.303660i | ||||
\(244\) | −22.3119 | + | 178.122i | −0.0914423 | + | 0.730010i | ||||
\(245\) | 28.5481 | + | 11.8250i | 0.116523 | + | 0.0482653i | ||||
\(246\) | 16.4465 | + | 121.960i | 0.0668557 | + | 0.495772i | ||||
\(247\) | −206.777 | − | 206.777i | −0.837153 | − | 0.837153i | ||||
\(248\) | −1.52424 | − | 161.624i | −0.00614612 | − | 0.651710i | ||||
\(249\) | 72.6792 | + | 72.6792i | 0.291884 | + | 0.291884i | ||||
\(250\) | 214.240 | + | 163.325i | 0.856960 | + | 0.653299i | ||||
\(251\) | 287.832 | + | 119.224i | 1.14674 | + | 0.474995i | 0.873439 | − | 0.486933i | \(-0.161885\pi\) |
0.273301 | + | 0.961929i | \(0.411885\pi\) | |||||||
\(252\) | −75.3571 | − | 42.8780i | −0.299036 | − | 0.170151i | ||||
\(253\) | 118.994 | − | 49.2889i | 0.470332 | − | 0.194818i | ||||
\(254\) | 129.878 | − | 75.5302i | 0.511329 | − | 0.297363i | ||||
\(255\) | − | 101.277i | − | 0.397164i | ||||||
\(256\) | −122.385 | + | 224.851i | −0.478065 | + | 0.878324i | ||||
\(257\) | −99.8626 | −0.388571 | −0.194285 | − | 0.980945i | \(-0.562239\pi\) | ||||
−0.194285 | + | 0.980945i | \(0.562239\pi\) | |||||||
\(258\) | −4.69807 | − | 8.07854i | −0.0182096 | − | 0.0313122i | ||||
\(259\) | 54.5514 | + | 131.699i | 0.210623 | + | 0.508489i | ||||
\(260\) | −117.829 | + | 207.082i | −0.453189 | + | 0.796468i | ||||
\(261\) | −98.0204 | + | 236.642i | −0.375557 | + | 0.906675i | ||||
\(262\) | −121.337 | + | 159.162i | −0.463116 | + | 0.607490i | ||||
\(263\) | 304.367 | − | 304.367i | 1.15729 | − | 1.15729i | 0.172231 | − | 0.985057i | \(-0.444902\pi\) |
0.985057 | − | 0.172231i | \(-0.0550976\pi\) | |||||||
\(264\) | −34.4325 | + | 0.324724i | −0.130426 | + | 0.00123002i | ||||
\(265\) | 194.406 | − | 194.406i | 0.733609 | − | 0.733609i | ||||
\(266\) | 113.647 | − | 15.3256i | 0.427246 | − | 0.0576149i | ||||
\(267\) | 23.7801 | − | 57.4103i | 0.0890641 | − | 0.215020i | ||||
\(268\) | −214.159 | − | 26.8259i | −0.799101 | − | 0.100097i | ||||
\(269\) | 152.192 | + | 367.424i | 0.565769 | + | 1.36589i | 0.905092 | + | 0.425217i | \(0.139802\pi\) |
−0.339323 | + | 0.940670i | \(0.610198\pi\) | |||||||
\(270\) | −131.855 | − | 34.8867i | −0.488353 | − | 0.129210i | ||||
\(271\) | 79.5484 | 0.293537 | 0.146768 | − | 0.989171i | \(-0.453113\pi\) | ||||
0.146768 | + | 0.989171i | \(0.453113\pi\) | |||||||
\(272\) | −351.190 | + | 208.691i | −1.29114 | + | 0.767245i | ||||
\(273\) | − | 32.0796i | − | 0.117508i | ||||||
\(274\) | 119.682 | + | 31.6658i | 0.436796 | + | 0.115569i | ||||
\(275\) | 24.4010 | − | 10.1072i | 0.0887310 | − | 0.0367536i | ||||
\(276\) | 59.3155 | + | 76.3034i | 0.214911 | + | 0.276461i | ||||
\(277\) | −10.6248 | − | 4.40094i | −0.0383567 | − | 0.0158879i | 0.363423 | − | 0.931624i | \(-0.381608\pi\) |
−0.401779 | + | 0.915737i | \(0.631608\pi\) | |||||||
\(278\) | −213.511 | + | 28.7923i | −0.768025 | + | 0.103570i | ||||
\(279\) | −117.041 | − | 117.041i | −0.419504 | − | 0.419504i | ||||
\(280\) | −36.5679 | − | 85.9802i | −0.130600 | − | 0.307072i | ||||
\(281\) | −141.000 | − | 141.000i | −0.501778 | − | 0.501778i | 0.410212 | − | 0.911990i | \(-0.365455\pi\) |
−0.911990 | + | 0.410212i | \(0.865455\pi\) | |||||||
\(282\) | 0.328950 | − | 0.431498i | 0.00116649 | − | 0.00153013i | ||||
\(283\) | −44.3666 | − | 18.3773i | −0.156773 | − | 0.0649373i | 0.302917 | − | 0.953017i | \(-0.402039\pi\) |
−0.459690 | + | 0.888080i | \(0.652039\pi\) | |||||||
\(284\) | −91.8896 | − | 334.510i | −0.323555 | − | 1.17785i | ||||
\(285\) | 79.4199 | − | 32.8968i | 0.278666 | − | 0.115427i | ||||
\(286\) | 64.9859 | + | 111.746i | 0.227224 | + | 0.390721i | ||||
\(287\) | 181.172i | 0.631263i | ||||||||
\(288\) | 71.8240 | + | 252.131i | 0.249389 | + | 0.875455i | ||||
\(289\) | −362.899 | −1.25571 | ||||||||
\(290\) | −238.611 | + | 138.764i | −0.822797 | + | 0.478497i | ||||
\(291\) | 48.2514 | + | 116.489i | 0.165813 | + | 0.400307i | ||||
\(292\) | 61.6259 | + | 224.340i | 0.211048 | + | 0.768286i | ||||
\(293\) | −25.9248 | + | 62.5879i | −0.0884804 | + | 0.213611i | −0.961925 | − | 0.273312i | \(-0.911881\pi\) |
0.873445 | + | 0.486923i | \(0.161881\pi\) | |||||||
\(294\) | 10.0045 | + | 7.62688i | 0.0340289 | + | 0.0259418i | ||||
\(295\) | −34.1436 | + | 34.1436i | −0.115741 | + | 0.115741i | ||||
\(296\) | 161.185 | − | 399.757i | 0.544545 | − | 1.35053i | ||||
\(297\) | −52.3266 | + | 52.3266i | −0.176184 | + | 0.176184i | ||||
\(298\) | −12.2892 | − | 91.1311i | −0.0412389 | − | 0.305809i | ||||
\(299\) | 138.845 | − | 335.202i | 0.464366 | − | 1.12108i | ||||
\(300\) | 12.1633 | + | 15.6469i | 0.0405444 | + | 0.0521562i | ||||
\(301\) | −5.26496 | − | 12.7107i | −0.0174916 | − | 0.0422284i | ||||
\(302\) | 5.56385 | − | 21.0288i | 0.0184233 | − | 0.0696317i | ||||
\(303\) | 36.8362 | 0.121572 | ||||||||
\(304\) | −277.726 | − | 207.611i | −0.913572 | − | 0.682931i | ||||
\(305\) | 198.108i | 0.649535i | ||||||||
\(306\) | −107.006 | + | 404.433i | −0.349693 | + | 1.32168i | ||||
\(307\) | 92.0170 | − | 38.1147i | 0.299730 | − | 0.124152i | −0.227750 | − | 0.973720i | \(-0.573137\pi\) |
0.527480 | + | 0.849568i | \(0.323137\pi\) | |||||||
\(308\) | −50.3001 | − | 6.30068i | −0.163312 | − | 0.0204568i | ||||
\(309\) | −162.364 | − | 67.2532i | −0.525449 | − | 0.217648i | ||||
\(310\) | −23.8381 | − | 176.773i | −0.0768972 | − | 0.570235i | ||||
\(311\) | −86.5020 | − | 86.5020i | −0.278142 | − | 0.278142i | 0.554225 | − | 0.832367i | \(-0.313015\pi\) |
−0.832367 | + | 0.554225i | \(0.813015\pi\) | |||||||
\(312\) | −67.9392 | + | 69.2328i | −0.217754 | + | 0.221900i | ||||
\(313\) | 232.344 | + | 232.344i | 0.742314 | + | 0.742314i | 0.973023 | − | 0.230709i | \(-0.0741044\pi\) |
−0.230709 | + | 0.973023i | \(0.574104\pi\) | |||||||
\(314\) | 341.279 | + | 260.172i | 1.08688 | + | 0.828574i | ||||
\(315\) | −88.3989 | − | 36.6160i | −0.280632 | − | 0.116241i | ||||
\(316\) | −135.381 | + | 237.929i | −0.428422 | + | 0.752941i | ||||
\(317\) | −18.0052 | + | 7.45801i | −0.0567989 | + | 0.0235269i | −0.410902 | − | 0.911680i | \(-0.634786\pi\) |
0.354103 | + | 0.935206i | \(0.384786\pi\) | |||||||
\(318\) | 96.7584 | − | 56.2697i | 0.304272 | − | 0.176949i | ||||
\(319\) | 149.761i | 0.469470i | ||||||||
\(320\) | −103.172 | + | 263.004i | −0.322414 | + | 0.821886i | ||||
\(321\) | 163.546 | 0.509490 | ||||||||
\(322\) | 71.5277 | + | 122.995i | 0.222136 | + | 0.381972i | ||||
\(323\) | −211.750 | − | 511.210i | −0.655573 | − | 1.58269i | ||||
\(324\) | 208.078 | + | 118.396i | 0.642216 | + | 0.365420i | ||||
\(325\) | 28.4718 | − | 68.7370i | 0.0876055 | − | 0.211498i | ||||
\(326\) | −87.9841 | + | 115.413i | −0.269890 | + | 0.354026i | ||||
\(327\) | 56.3594 | − | 56.3594i | 0.172353 | − | 0.172353i | ||||
\(328\) | 383.693 | − | 390.999i | 1.16980 | − | 1.19207i | ||||
\(329\) | 0.564826 | − | 0.564826i | 0.00171680 | − | 0.00171680i | ||||
\(330\) | −37.6598 | + | 5.07849i | −0.114120 | + | 0.0153894i | ||||
\(331\) | 178.431 | − | 430.771i | 0.539067 | − | 1.30142i | −0.386308 | − | 0.922370i | \(-0.626250\pi\) |
0.925375 | − | 0.379053i | \(-0.123750\pi\) | |||||||
\(332\) | 56.8677 | − | 453.991i | 0.171288 | − | 1.36744i | ||||
\(333\) | −168.918 | − | 407.804i | −0.507262 | − | 1.22464i | ||||
\(334\) | 100.931 | + | 26.7046i | 0.302188 | + | 0.0799538i | ||||
\(335\) | −238.188 | −0.711010 | ||||||||
\(336\) | −5.43885 | − | 37.6479i | −0.0161871 | − | 0.112047i | ||||
\(337\) | − | 32.6233i | − | 0.0968051i | −0.998828 | − | 0.0484025i | \(-0.984587\pi\) | ||
0.998828 | − | 0.0484025i | \(-0.0154130\pi\) | |||||||
\(338\) | 25.2761 | + | 6.68763i | 0.0747815 | + | 0.0197859i | ||||
\(339\) | −164.085 | + | 67.9661i | −0.484026 | + | 0.200490i | ||||
\(340\) | −355.936 | + | 276.692i | −1.04687 | + | 0.813799i | ||||
\(341\) | −89.4111 | − | 37.0353i | −0.262203 | − | 0.108608i | ||||
\(342\) | −351.908 | + | 47.4555i | −1.02897 | + | 0.138759i | ||||
\(343\) | 13.0958 | + | 13.0958i | 0.0381802 | + | 0.0381802i | ||||
\(344\) | −15.5566 | + | 38.5821i | −0.0452227 | + | 0.112157i | ||||
\(345\) | 75.4179 | + | 75.4179i | 0.218603 | + | 0.218603i | ||||
\(346\) | −83.1724 | + | 109.101i | −0.240383 | + | 0.315320i | ||||
\(347\) | 484.922 | + | 200.861i | 1.39747 | + | 0.578851i | 0.949094 | − | 0.314993i | \(-0.102002\pi\) |
0.448377 | + | 0.893845i | \(0.352002\pi\) | |||||||
\(348\) | −108.362 | + | 29.7670i | −0.311385 | + | 0.0855373i | ||||
\(349\) | −445.236 | + | 184.423i | −1.27575 | + | 0.528432i | −0.914707 | − | 0.404118i | \(-0.867579\pi\) |
−0.361041 | + | 0.932550i | \(0.617579\pi\) | |||||||
\(350\) | 14.6675 | + | 25.2215i | 0.0419073 | + | 0.0720614i | ||||
\(351\) | 208.459i | 0.593899i | ||||||||
\(352\) | 95.2118 | + | 120.125i | 0.270488 | + | 0.341264i | ||||
\(353\) | 34.9060 | 0.0988838 | 0.0494419 | − | 0.998777i | \(-0.484256\pi\) | ||||
0.0494419 | + | 0.998777i | \(0.484256\pi\) | |||||||
\(354\) | −16.9937 | + | 9.88267i | −0.0480048 | + | 0.0279171i | ||||
\(355\) | −146.504 | − | 353.692i | −0.412687 | − | 0.996315i | ||||
\(356\) | −266.735 | + | 73.2719i | −0.749256 | + | 0.205820i | ||||
\(357\) | 23.2293 | − | 56.0804i | 0.0650680 | − | 0.157088i | ||||
\(358\) | 438.080 | + | 333.968i | 1.22369 | + | 0.932871i | ||||
\(359\) | 192.166 | − | 192.166i | 0.535281 | − | 0.535281i | −0.386858 | − | 0.922139i | \(-0.626440\pi\) |
0.922139 | + | 0.386858i | \(0.126440\pi\) | |||||||
\(360\) | 113.232 | + | 266.237i | 0.314534 | + | 0.739548i | ||||
\(361\) | 76.8373 | − | 76.8373i | 0.212846 | − | 0.212846i | ||||
\(362\) | −10.9334 | − | 81.0772i | −0.0302028 | − | 0.223970i | ||||
\(363\) | 33.7185 | − | 81.4036i | 0.0928884 | − | 0.224252i | ||||
\(364\) | −112.743 | + | 87.6424i | −0.309734 | + | 0.240776i | ||||
\(365\) | 98.2531 | + | 237.204i | 0.269186 | + | 0.649874i | ||||
\(366\) | −20.6298 | + | 77.9711i | −0.0563656 | + | 0.213036i | ||||
\(367\) | −293.297 | −0.799174 | −0.399587 | − | 0.916695i | \(-0.630846\pi\) | ||||
−0.399587 | + | 0.916695i | \(0.630846\pi\) | |||||||
\(368\) | 106.115 | − | 416.926i | 0.288355 | − | 1.13295i | ||||
\(369\) | − | 560.999i | − | 1.52032i | ||||||
\(370\) | 121.669 | − | 459.852i | 0.328835 | − | 1.24284i | ||||
\(371\) | 152.239 | − | 63.0595i | 0.410348 | − | 0.169972i | ||||
\(372\) | 9.02589 | − | 72.0563i | 0.0242632 | − | 0.193700i | ||||
\(373\) | 416.935 | + | 172.700i | 1.11779 | + | 0.463003i | 0.863613 | − | 0.504155i | \(-0.168196\pi\) |
0.254175 | + | 0.967158i | \(0.418196\pi\) | |||||||
\(374\) | 32.6892 | + | 242.408i | 0.0874042 | + | 0.648150i | ||||
\(375\) | 85.5858 | + | 85.5858i | 0.228229 | + | 0.228229i | ||||
\(376\) | −2.41519 | + | 0.0227771i | −0.00642338 | + | 6.05773e-5i | ||||
\(377\) | 298.308 | + | 298.308i | 0.791269 | + | 0.791269i | ||||
\(378\) | −65.0110 | − | 49.5608i | −0.171987 | − | 0.131113i | ||||
\(379\) | 204.554 | + | 84.7289i | 0.539719 | + | 0.223559i | 0.635854 | − | 0.771809i | \(-0.280648\pi\) |
−0.0961347 | + | 0.995368i | \(0.530648\pi\) | |||||||
\(380\) | −332.593 | − | 189.245i | −0.875244 | − | 0.498012i | ||||
\(381\) | 62.3645 | − | 25.8322i | 0.163686 | − | 0.0678011i | ||||
\(382\) | 641.233 | − | 372.909i | 1.67862 | − | 0.976200i | ||||
\(383\) | − | 160.267i | − | 0.418451i | −0.977867 | − | 0.209226i | \(-0.932906\pi\) | ||
0.977867 | − | 0.209226i | \(-0.0670943\pi\) | |||||||
\(384\) | −67.9940 | + | 92.7686i | −0.177068 | + | 0.241585i | ||||
\(385\) | −55.9439 | −0.145309 | ||||||||
\(386\) | −174.765 | − | 300.516i | −0.452758 | − | 0.778538i | ||||
\(387\) | 16.3029 | + | 39.3587i | 0.0421264 | + | 0.101702i | ||||
\(388\) | 277.575 | − | 487.831i | 0.715399 | − | 1.25730i | ||||
\(389\) | 72.3872 | − | 174.758i | 0.186085 | − | 0.449250i | −0.803114 | − | 0.595825i | \(-0.796825\pi\) |
0.989200 | + | 0.146575i | \(0.0468251\pi\) | |||||||
\(390\) | −64.8986 | + | 85.1302i | −0.166407 | + | 0.218283i | ||||
\(391\) | 485.450 | − | 485.450i | 1.24156 | − | 1.24156i | ||||
\(392\) | −0.528098 | − | 55.9975i | −0.00134719 | − | 0.142851i | ||||
\(393\) | −63.5830 | + | 63.5830i | −0.161789 | + | 0.161789i | ||||
\(394\) | −334.055 | + | 45.0479i | −0.847855 | + | 0.114335i | ||||
\(395\) | −115.610 | + | 279.107i | −0.292683 | + | 0.706600i | ||||
\(396\) | 155.754 | + | 19.5100i | 0.393318 | + | 0.0492677i | ||||
\(397\) | −98.0919 | − | 236.815i | −0.247083 | − | 0.596511i | 0.750871 | − | 0.660449i | \(-0.229634\pi\) |
−0.997954 | + | 0.0639381i | \(0.979634\pi\) | |||||||
\(398\) | 3.78628 | + | 1.00178i | 0.00951326 | + | 0.00251705i | ||||
\(399\) | 51.5228 | 0.129130 | ||||||||
\(400\) | 21.7600 | − | 85.4954i | 0.0544001 | − | 0.213738i | ||||
\(401\) | 515.282i | 1.28499i | 0.766289 | + | 0.642496i | \(0.222101\pi\) | ||||
−0.766289 | + | 0.642496i | \(0.777899\pi\) | |||||||
\(402\) | −93.7457 | − | 24.8035i | −0.233198 | − | 0.0617002i | ||||
\(403\) | −251.868 | + | 104.327i | −0.624983 | + | 0.258877i | ||||
\(404\) | −100.638 | − | 129.460i | −0.249103 | − | 0.320446i | ||||
\(405\) | 244.090 | + | 101.105i | 0.602691 | + | 0.249643i | ||||
\(406\) | −163.955 | + | 22.1096i | −0.403829 | + | 0.0544571i | ||||
\(407\) | −182.492 | − | 182.492i | −0.448382 | − | 0.448382i | ||||
\(408\) | −168.901 | + | 71.8347i | −0.413974 | + | 0.176066i | ||||
\(409\) | 119.731 | + | 119.731i | 0.292740 | + | 0.292740i | 0.838162 | − | 0.545422i | \(-0.183631\pi\) |
−0.545422 | + | 0.838162i | \(0.683631\pi\) | |||||||
\(410\) | 366.521 | − | 480.781i | 0.893953 | − | 1.17264i | ||||
\(411\) | 51.3883 | + | 21.2857i | 0.125032 | + | 0.0517901i | ||||
\(412\) | 207.222 | + | 754.361i | 0.502967 | + | 1.83097i | ||||
\(413\) | −26.7378 | + | 11.0752i | −0.0647404 | + | 0.0268164i | ||||
\(414\) | −221.485 | − | 380.853i | −0.534988 | − | 0.919936i | ||||
\(415\) | − | 504.930i | − | 1.21670i | ||||||
\(416\) | 428.929 | + | 49.6247i | 1.03108 | + | 0.119290i | ||||
\(417\) | −96.7966 | −0.232126 | ||||||||
\(418\) | −179.475 | + | 104.374i | −0.429366 | + | 0.249697i | ||||
\(419\) | 310.756 | + | 750.231i | 0.741661 | + | 1.79053i | 0.598990 | + | 0.800757i | \(0.295569\pi\) |
0.142671 | + | 0.989770i | \(0.454431\pi\) | |||||||
\(420\) | −11.1196 | − | 40.4792i | −0.0264753 | − | 0.0963791i | ||||
\(421\) | 312.840 | − | 755.262i | 0.743087 | − | 1.79397i | 0.150251 | − | 0.988648i | \(-0.451992\pi\) |
0.592836 | − | 0.805323i | \(-0.298008\pi\) | |||||||
\(422\) | −27.1549 | − | 20.7014i | −0.0643482 | − | 0.0490555i | ||||
\(423\) | −1.74898 | + | 1.74898i | −0.00413471 | + | 0.00413471i | ||||
\(424\) | −462.106 | − | 186.325i | −1.08987 | − | 0.439445i | ||||
\(425\) | 99.5468 | − | 99.5468i | 0.234228 | − | 0.234228i | ||||
\(426\) | −20.8294 | − | 154.461i | −0.0488953 | − | 0.362585i | ||||
\(427\) | −45.4389 | + | 109.699i | −0.106414 | + | 0.256907i | ||||
\(428\) | −446.813 | − | 574.780i | −1.04396 | − | 1.34294i | ||||
\(429\) | 22.2259 | + | 53.6581i | 0.0518087 | + | 0.125077i | ||||
\(430\) | −11.7427 | + | 44.3820i | −0.0273087 | + | 0.103214i | ||||
\(431\) | −510.423 | −1.18428 | −0.592138 | − | 0.805837i | \(-0.701716\pi\) | ||||
−0.592138 | + | 0.805837i | \(0.701716\pi\) | |||||||
\(432\) | 35.3426 | + | 244.643i | 0.0818116 | + | 0.566302i | ||||
\(433\) | − | 415.076i | − | 0.958604i | −0.877650 | − | 0.479302i | \(-0.840890\pi\) | ||
0.877650 | − | 0.479302i | \(-0.159110\pi\) | |||||||
\(434\) | 27.3454 | − | 103.353i | 0.0630077 | − | 0.238140i | ||||
\(435\) | −114.576 | + | 47.4589i | −0.263393 | + | 0.109101i | ||||
\(436\) | −352.050 | − | 44.0983i | −0.807453 | − | 0.101143i | ||||
\(437\) | 538.367 | + | 222.999i | 1.23196 | + | 0.510295i | ||||
\(438\) | 13.9693 | + | 103.590i | 0.0318933 | + | 0.236506i | ||||
\(439\) | −558.451 | − | 558.451i | −1.27210 | − | 1.27210i | −0.944985 | − | 0.327114i | \(-0.893924\pi\) |
−0.327114 | − | 0.944985i | \(-0.606076\pi\) | |||||||
\(440\) | 120.736 | + | 118.480i | 0.274400 | + | 0.269272i | ||||
\(441\) | −40.5511 | − | 40.5511i | −0.0919525 | − | 0.0919525i | ||||
\(442\) | 547.966 | + | 417.739i | 1.23974 | + | 0.945111i | ||||
\(443\) | −2.02208 | − | 0.837574i | −0.00456452 | − | 0.00189069i | 0.380400 | − | 0.924822i | \(-0.375786\pi\) |
−0.384965 | + | 0.922931i | \(0.625786\pi\) | |||||||
\(444\) | 95.7724 | − | 168.318i | 0.215704 | − | 0.379094i | ||||
\(445\) | −282.031 | + | 116.821i | −0.633777 | + | 0.262519i | ||||
\(446\) | −94.4913 | + | 54.9514i | −0.211864 | + | 0.123209i | ||||
\(447\) | − | 41.3149i | − | 0.0924271i | ||||||
\(448\) | −117.454 | + | 121.970i | −0.262173 | + | 0.272254i | ||||
\(449\) | −524.185 | −1.16745 | −0.583725 | − | 0.811951i | \(-0.698405\pi\) | ||||
−0.583725 | + | 0.811951i | \(0.698405\pi\) | |||||||
\(450\) | −45.4180 | − | 78.0982i | −0.100929 | − | 0.173552i | ||||
\(451\) | −125.523 | − | 303.039i | −0.278322 | − | 0.671928i | ||||
\(452\) | 687.150 | + | 390.987i | 1.52024 | + | 0.865015i | ||||
\(453\) | 3.74001 | − | 9.02919i | 0.00825610 | − | 0.0199320i | ||||
\(454\) | −263.775 | + | 346.005i | −0.581002 | + | 0.762125i | ||||
\(455\) | −111.435 | + | 111.435i | −0.244911 | + | 0.244911i | ||||
\(456\) | −111.194 | − | 109.117i | −0.243847 | − | 0.239291i | ||||
\(457\) | −438.185 | + | 438.185i | −0.958830 | + | 0.958830i | −0.999185 | − | 0.0403551i | \(-0.987151\pi\) |
0.0403551 | + | 0.999185i | \(0.487151\pi\) | |||||||
\(458\) | 48.5298 | − | 6.54433i | 0.105960 | − | 0.0142889i | ||||
\(459\) | −150.948 | + | 364.421i | −0.328863 | + | 0.793944i | ||||
\(460\) | 59.0106 | − | 471.098i | 0.128284 | − | 1.02413i | ||||
\(461\) | −51.5226 | − | 124.387i | −0.111763 | − | 0.269819i | 0.858095 | − | 0.513491i | \(-0.171648\pi\) |
−0.969858 | + | 0.243672i | \(0.921648\pi\) | |||||||
\(462\) | −22.0183 | − | 5.82566i | −0.0476587 | − | 0.0126097i | ||||
\(463\) | 37.5531 | 0.0811082 | 0.0405541 | − | 0.999177i | \(-0.487088\pi\) | ||||
0.0405541 | + | 0.999177i | \(0.487088\pi\) | |||||||
\(464\) | 400.664 | + | 299.512i | 0.863500 | + | 0.645500i | ||||
\(465\) | − | 80.1412i | − | 0.172347i | ||||||
\(466\) | 70.5346 | + | 18.6622i | 0.151362 | + | 0.0400477i | ||||
\(467\) | 333.417 | − | 138.106i | 0.713954 | − | 0.295729i | 0.00401440 | − | 0.999992i | \(-0.498722\pi\) |
0.709940 | + | 0.704262i | \(0.248722\pi\) | |||||||
\(468\) | 349.108 | − | 271.384i | 0.745957 | − | 0.579881i | ||||
\(469\) | −131.893 | − | 54.6318i | −0.281222 | − | 0.116486i | ||||
\(470\) | −2.64156 | + | 0.356220i | −0.00562035 | + | 0.000757914i | ||||
\(471\) | 136.336 | + | 136.336i | 0.289461 | + | 0.289461i | ||||
\(472\) | 81.1597 | + | 32.7242i | 0.171948 | + | 0.0693310i | ||||
\(473\) | 17.6130 | + | 17.6130i | 0.0372367 | + | 0.0372367i | ||||
\(474\) | −74.5661 | + | 97.8115i | −0.157312 | + | 0.206353i | ||||
\(475\) | 110.398 | + | 45.7284i | 0.232417 | + | 0.0962703i | ||||
\(476\) | −260.557 | + | 71.5746i | −0.547388 | + | 0.150367i | ||||
\(477\) | −471.408 | + | 195.263i | −0.988276 | + | 0.409357i | ||||
\(478\) | −455.247 | − | 782.819i | −0.952401 | − | 1.63770i | ||||
\(479\) | 388.188i | 0.810413i | 0.914225 | + | 0.405206i | \(0.132800\pi\) | ||||
−0.914225 | + | 0.405206i | \(0.867200\pi\) | |||||||
\(480\) | −61.7304 | + | 110.910i | −0.128605 | + | 0.231063i | ||||
\(481\) | −727.009 | −1.51145 | ||||||||
\(482\) | 405.861 | − | 236.028i | 0.842035 | − | 0.489685i | ||||
\(483\) | 24.4633 | + | 59.0596i | 0.0506486 | + | 0.122277i | ||||
\(484\) | −378.211 | + | 103.894i | −0.781428 | + | 0.214657i | ||||
\(485\) | 237.037 | − | 572.259i | 0.488737 | − | 1.17992i | ||||
\(486\) | 306.687 | + | 233.801i | 0.631042 | + | 0.481072i | ||||
\(487\) | −553.441 | + | 553.441i | −1.13643 | + | 1.13643i | −0.147343 | + | 0.989085i | \(0.547072\pi\) |
−0.989085 | + | 0.147343i | \(0.952928\pi\) | |||||||
\(488\) | 330.389 | − | 140.516i | 0.677026 | − | 0.287943i | ||||
\(489\) | −46.1056 | + | 46.1056i | −0.0942856 | + | 0.0942856i | ||||
\(490\) | −8.25914 | − | 61.2460i | −0.0168554 | − | 0.124992i | ||||
\(491\) | −308.837 | + | 745.599i | −0.628996 | + | 1.51853i | 0.211875 | + | 0.977297i | \(0.432043\pi\) |
−0.840872 | + | 0.541235i | \(0.817957\pi\) | |||||||
\(492\) | 194.320 | − | 151.058i | 0.394960 | − | 0.307028i | ||||
\(493\) | 305.483 | + | 737.502i | 0.619642 | + | 1.49595i | ||||
\(494\) | −149.594 | + | 565.397i | −0.302823 | + | 1.14453i | ||||
\(495\) | 173.230 | 0.349960 | ||||||||
\(496\) | −277.899 | + | 165.139i | −0.560281 | + | 0.332941i | ||||
\(497\) | − | 229.454i | − | 0.461678i | ||||||
\(498\) | 52.5804 | − | 198.729i | 0.105583 | − | 0.399055i | ||||
\(499\) | −511.365 | + | 211.814i | −1.02478 | + | 0.424477i | −0.830825 | − | 0.556534i | \(-0.812131\pi\) |
−0.193953 | + | 0.981011i | \(0.562131\pi\) | |||||||
\(500\) | 66.9665 | − | 534.613i | 0.133933 | − | 1.06923i | ||||
\(501\) | 43.3370 | + | 17.9508i | 0.0865010 | + | 0.0358299i | ||||
\(502\) | −83.2716 | − | 617.504i | −0.165880 | − | 1.23009i | ||||
\(503\) | 208.061 | + | 208.061i | 0.413641 | + | 0.413641i | 0.883005 | − | 0.469364i | \(-0.155517\pi\) |
−0.469364 | + | 0.883005i | \(0.655517\pi\) | |||||||
\(504\) | 1.63525 | + | 173.396i | 0.00324455 | + | 0.344040i | ||||
\(505\) | −127.958 | − | 127.958i | −0.253382 | − | 0.253382i | ||||
\(506\) | −204.857 | − | 156.171i | −0.404855 | − | 0.308639i | ||||
\(507\) | 10.8529 | + | 4.49542i | 0.0214061 | + | 0.00886670i | ||||
\(508\) | −261.168 | − | 148.604i | −0.514111 | − | 0.292528i | ||||
\(509\) | 189.208 | − | 78.3725i | 0.371725 | − | 0.153974i | −0.188997 | − | 0.981978i | \(-0.560524\pi\) |
0.560722 | + | 0.828004i | \(0.310524\pi\) | |||||||
\(510\) | −175.098 | + | 101.828i | −0.343329 | + | 0.199662i | ||||
\(511\) | 153.884i | 0.301142i | ||||||||
\(512\) | 511.795 | − | 14.4833i | 0.999600 | − | 0.0282876i | ||||
\(513\) | −334.804 | −0.652640 | ||||||||
\(514\) | 100.406 | + | 172.652i | 0.195342 | + | 0.335900i | ||||
\(515\) | 330.384 | + | 797.618i | 0.641523 | + | 1.54877i | ||||
\(516\) | −9.24336 | + | 16.2450i | −0.0179135 | + | 0.0314825i | ||||
\(517\) | −0.553428 | + | 1.33609i | −0.00107046 | + | 0.00258432i | ||||
\(518\) | 172.846 | − | 226.729i | 0.333679 | − | 0.437701i | ||||
\(519\) | −43.5842 | + | 43.5842i | −0.0839772 | + | 0.0839772i | ||||
\(520\) | 476.493 | − | 4.49369i | 0.916333 | − | 0.00864171i | ||||
\(521\) | 0.665308 | − | 0.665308i | 0.00127698 | − | 0.00127698i | −0.706468 | − | 0.707745i | \(-0.749713\pi\) |
0.707745 | + | 0.706468i | \(0.249713\pi\) | |||||||
\(522\) | 507.684 | − | 68.4621i | 0.972575 | − | 0.131154i | ||||
\(523\) | 90.6904 | − | 218.946i | 0.173404 | − | 0.418635i | −0.813153 | − | 0.582050i | \(-0.802251\pi\) |
0.986557 | + | 0.163415i | \(0.0522509\pi\) | |||||||
\(524\) | 397.172 | + | 49.7505i | 0.757962 | + | 0.0949436i | ||||
\(525\) | 5.01647 | + | 12.1108i | 0.00955517 | + | 0.0230682i | ||||
\(526\) | −832.242 | − | 220.197i | −1.58221 | − | 0.418625i | ||||
\(527\) | −515.853 | −0.978848 | ||||||||
\(528\) | 35.1812 | + | 59.2038i | 0.0666310 | + | 0.112128i | ||||
\(529\) | 193.999i | 0.366728i | ||||||||
\(530\) | −531.573 | − | 140.645i | −1.00297 | − | 0.265368i | ||||
\(531\) | 82.7934 | − | 34.2942i | 0.155920 | − | 0.0645841i | ||||
\(532\) | −140.762 | − | 181.076i | −0.264590 | − | 0.340368i | ||||
\(533\) | −853.653 | − | 353.595i | −1.60160 | − | 0.663404i | ||||
\(534\) | −123.166 | + | 16.6092i | −0.230648 | + | 0.0311033i | ||||
\(535\) | −568.109 | − | 568.109i | −1.06189 | − | 1.06189i | ||||
\(536\) | 168.945 | + | 397.231i | 0.315195 | + | 0.741103i | ||||
\(537\) | 175.007 | + | 175.007i | 0.325897 | + | 0.325897i | ||||
\(538\) | 482.218 | − | 632.546i | 0.896317 | − | 1.17574i | ||||
\(539\) | −30.9780 | − | 12.8315i | −0.0574732 | − | 0.0238062i | ||||
\(540\) | 72.2571 | + | 263.041i | 0.133810 | + | 0.487113i | ||||
\(541\) | 329.527 | − | 136.495i | 0.609108 | − | 0.252301i | −0.0567391 | − | 0.998389i | \(-0.518070\pi\) |
0.665847 | + | 0.746088i | \(0.268070\pi\) | |||||||
\(542\) | −79.9812 | − | 137.531i | −0.147567 | − | 0.253748i | ||||
\(543\) | − | 36.7569i | − | 0.0676923i | ||||||
\(544\) | 713.905 | + | 397.346i | 1.31233 | + | 0.730415i | ||||
\(545\) | −391.551 | −0.718441 | ||||||||
\(546\) | −55.4623 | + | 32.2541i | −0.101579 | + | 0.0590734i | ||||
\(547\) | 4.56056 | + | 11.0102i | 0.00833741 | + | 0.0201283i | 0.927993 | − | 0.372597i | \(-0.121532\pi\) |
−0.919656 | + | 0.392725i | \(0.871532\pi\) | |||||||
\(548\) | −65.5861 | − | 238.756i | −0.119683 | − | 0.435687i | ||||
\(549\) | 140.701 | − | 339.683i | 0.256287 | − | 0.618730i | ||||
\(550\) | −42.0082 | − | 32.0247i | −0.0763785 | − | 0.0582267i | ||||
\(551\) | −479.111 | + | 479.111i | −0.869531 | + | 0.869531i | ||||
\(552\) | 72.2826 | − | 179.269i | 0.130947 | − | 0.324763i | ||||
\(553\) | −128.034 | + | 128.034i | −0.231527 | + | 0.231527i | ||||
\(554\) | 3.07382 | + | 22.7941i | 0.00554842 | + | 0.0411446i | ||||
\(555\) | 81.7857 | − | 197.448i | 0.147362 | − | 0.355762i | ||||
\(556\) | 264.451 | + | 340.190i | 0.475632 | + | 0.611852i | ||||
\(557\) | 10.2476 | + | 24.7400i | 0.0183979 | + | 0.0444165i | 0.932812 | − | 0.360365i | \(-0.117348\pi\) |
−0.914414 | + | 0.404781i | \(0.867348\pi\) | |||||||
\(558\) | −84.6747 | + | 320.031i | −0.151747 | + | 0.573532i | ||||
\(559\) | 70.1664 | 0.125521 | ||||||||
\(560\) | −111.884 | + | 149.670i | −0.199793 | + | 0.267268i | ||||
\(561\) | 109.897i | 0.195896i | ||||||||
\(562\) | −102.007 | + | 385.541i | −0.181508 | + | 0.686015i | ||||
\(563\) | 973.853 | − | 403.383i | 1.72976 | − | 0.716488i | 0.730313 | − | 0.683113i | \(-0.239374\pi\) |
0.999443 | − | 0.0333758i | \(-0.0106258\pi\) | |||||||
\(564\) | −1.07676 | − | 0.134876i | −0.00190914 | − | 0.000239142i | ||||
\(565\) | 806.073 | + | 333.886i | 1.42668 | + | 0.590949i | ||||
\(566\) | 12.8355 | + | 95.1826i | 0.0226777 | + | 0.168167i | ||||
\(567\) | 111.971 | + | 111.971i | 0.197479 | + | 0.197479i | ||||
\(568\) | −485.944 | + | 495.197i | −0.855536 | + | 0.871826i | ||||
\(569\) | 178.840 | + | 178.840i | 0.314306 | + | 0.314306i | 0.846575 | − | 0.532269i | \(-0.178660\pi\) |
−0.532269 | + | 0.846575i | \(0.678660\pi\) | |||||||
\(570\) | −136.727 | − | 104.233i | −0.239872 | − | 0.182865i | ||||
\(571\) | 862.975 | + | 357.456i | 1.51134 | + | 0.626018i | 0.975834 | − | 0.218513i | \(-0.0701207\pi\) |
0.535507 | + | 0.844531i | \(0.320121\pi\) | |||||||
\(572\) | 127.858 | − | 224.708i | 0.223529 | − | 0.392846i | ||||
\(573\) | 307.906 | − | 127.539i | 0.537358 | − | 0.222581i | ||||
\(574\) | 313.229 | − | 182.158i | 0.545695 | − | 0.317348i | ||||
\(575\) | 148.259i | 0.257842i | ||||||||
\(576\) | 363.694 | − | 377.679i | 0.631414 | − | 0.655693i | ||||
\(577\) | 831.605 | 1.44126 | 0.720628 | − | 0.693322i | \(-0.243853\pi\) | ||||
0.720628 | + | 0.693322i | \(0.243853\pi\) | |||||||
\(578\) | 364.873 | + | 627.416i | 0.631268 | + | 1.08549i | ||||
\(579\) | −59.7715 | − | 144.301i | −0.103232 | − | 0.249225i | ||||
\(580\) | 479.818 | + | 273.016i | 0.827273 | + | 0.470716i | ||||
\(581\) | 115.813 | − | 279.597i | 0.199334 | − | 0.481234i | ||||
\(582\) | 152.884 | − | 200.545i | 0.262688 | − | 0.344579i | ||||
\(583\) | −210.954 | + | 210.954i | −0.361842 | + | 0.361842i | ||||
\(584\) | 325.899 | − | 332.105i | 0.558047 | − | 0.568673i | ||||
\(585\) | 345.057 | − | 345.057i | 0.589840 | − | 0.589840i | ||||
\(586\) | 134.274 | − | 18.1071i | 0.229136 | − | 0.0308995i | ||||
\(587\) | −392.678 | + | 948.008i | −0.668957 | + | 1.61500i | 0.114402 | + | 0.993435i | \(0.463505\pi\) |
−0.783359 | + | 0.621570i | \(0.786495\pi\) | |||||||
\(588\) | 3.12718 | − | 24.9652i | 0.00531833 | − | 0.0424577i | ||||
\(589\) | −167.559 | − | 404.524i | −0.284481 | − | 0.686799i | ||||
\(590\) | 93.3602 | + | 24.7015i | 0.158238 | + | 0.0418670i | ||||
\(591\) | −151.446 | −0.256254 | ||||||||
\(592\) | −853.202 | + | 123.259i | −1.44122 | + | 0.208208i | ||||
\(593\) | 812.822i | 1.37069i | 0.728217 | + | 0.685347i | \(0.240349\pi\) | ||||
−0.728217 | + | 0.685347i | \(0.759651\pi\) | |||||||
\(594\) | 143.079 | + | 37.8562i | 0.240873 | + | 0.0637309i | ||||
\(595\) | −275.498 | + | 114.115i | −0.463021 | + | 0.191790i | ||||
\(596\) | −145.200 | + | 112.874i | −0.243625 | + | 0.189385i | ||||
\(597\) | 1.62573 | + | 0.673398i | 0.00272316 | + | 0.00112797i | ||||
\(598\) | −719.131 | + | 96.9762i | −1.20256 | + | 0.162168i | ||||
\(599\) | 81.6751 | + | 81.6751i | 0.136352 | + | 0.136352i | 0.771989 | − | 0.635636i | \(-0.219262\pi\) |
−0.635636 | + | 0.771989i | \(0.719262\pi\) | |||||||
\(600\) | 14.8224 | − | 36.7611i | 0.0247039 | − | 0.0612685i | ||||
\(601\) | 835.585 | + | 835.585i | 1.39032 | + | 1.39032i | 0.824582 | + | 0.565742i | \(0.191410\pi\) |
0.565742 | + | 0.824582i | \(0.308590\pi\) | |||||||
\(602\) | −16.6820 | + | 21.8825i | −0.0277109 | + | 0.0363496i | ||||
\(603\) | 408.406 | + | 169.167i | 0.677290 | + | 0.280543i | ||||
\(604\) | −41.9507 | + | 11.5238i | −0.0694548 | + | 0.0190792i | ||||
\(605\) | −399.899 | + | 165.644i | −0.660990 | + | 0.273791i | ||||
\(606\) | −37.0366 | − | 63.6861i | −0.0611165 | − | 0.105093i | ||||
\(607\) | 808.461i | 1.33190i | 0.745998 | + | 0.665948i | \(0.231973\pi\) | ||||
−0.745998 | + | 0.665948i | \(0.768027\pi\) | |||||||
\(608\) | −79.7019 | + | 688.901i | −0.131089 | + | 1.13306i | ||||
\(609\) | −74.3299 | −0.122052 | ||||||||
\(610\) | 342.509 | − | 199.186i | 0.561490 | − | 0.326534i | ||||
\(611\) | 1.55899 | + | 3.76373i | 0.00255154 | + | 0.00615996i | ||||
\(612\) | 806.812 | − | 221.630i | 1.31832 | − | 0.362141i | ||||
\(613\) | 100.376 | − | 242.329i | 0.163745 | − | 0.395317i | −0.820615 | − | 0.571481i | \(-0.806369\pi\) |
0.984361 | + | 0.176165i | \(0.0563691\pi\) | |||||||
\(614\) | −158.414 | − | 120.766i | −0.258003 | − | 0.196687i | ||||
\(615\) | 192.065 | − | 192.065i | 0.312301 | − | 0.312301i | ||||
\(616\) | 39.6805 | + | 93.2987i | 0.0644164 | + | 0.151459i | ||||
\(617\) | −423.912 | + | 423.912i | −0.687053 | + | 0.687053i | −0.961580 | − | 0.274527i | \(-0.911479\pi\) |
0.274527 | + | 0.961580i | \(0.411479\pi\) | |||||||
\(618\) | 46.9728 | + | 348.329i | 0.0760078 | + | 0.563640i | ||||
\(619\) | 247.099 | − | 596.550i | 0.399191 | − | 0.963733i | −0.588667 | − | 0.808375i | \(-0.700347\pi\) |
0.987858 | − | 0.155357i | \(-0.0496528\pi\) | |||||||
\(620\) | −281.655 | + | 218.948i | −0.454282 | + | 0.353142i | ||||
\(621\) | −158.967 | − | 383.779i | −0.255985 | − | 0.618002i | ||||
\(622\) | −62.5807 | + | 236.526i | −0.100612 | + | 0.380267i | ||||
\(623\) | −182.964 | −0.293683 | ||||||||
\(624\) | 188.005 | + | 47.8505i | 0.301290 | + | 0.0766835i | ||||
\(625\) | − | 456.752i | − | 0.730804i | ||||||
\(626\) | 168.092 | − | 635.308i | 0.268517 | − | 1.01487i | ||||
\(627\) | −86.1800 | + | 35.6969i | −0.137448 | + | 0.0569329i | ||||
\(628\) | 106.676 | − | 851.624i | 0.169866 | − | 1.35609i | ||||
\(629\) | −1270.93 | − | 526.438i | −2.02056 | − | 0.836944i | ||||
\(630\) | 25.5744 | + | 189.648i | 0.0405943 | + | 0.301029i | ||||
\(631\) | 381.014 | + | 381.014i | 0.603826 | + | 0.603826i | 0.941326 | − | 0.337500i | \(-0.109581\pi\) |
−0.337500 | + | 0.941326i | \(0.609581\pi\) | |||||||
\(632\) | 547.473 | − | 5.16308i | 0.866255 | − | 0.00816943i | ||||
\(633\) | −10.8480 | − | 10.8480i | −0.0171374 | − | 0.0171374i | ||||
\(634\) | 30.9973 | + | 23.6307i | 0.0488917 | + | 0.0372723i | ||||
\(635\) | −306.368 | − | 126.902i | −0.482469 | − | 0.199845i | ||||
\(636\) | −194.569 | − | 110.710i | −0.305927 | − | 0.174072i | ||||
\(637\) | −87.2642 | + | 36.1460i | −0.136992 | + | 0.0567441i | ||||
\(638\) | 258.921 | − | 150.576i | 0.405833 | − | 0.236012i | ||||
\(639\) | 710.502i | 1.11190i | ||||||||
\(640\) | 558.440 | − | 86.0595i | 0.872563 | − | 0.134468i | ||||
\(641\) | 599.749 | 0.935646 | 0.467823 | − | 0.883822i | \(-0.345039\pi\) | ||||
0.467823 | + | 0.883822i | \(0.345039\pi\) | |||||||
\(642\) | −164.436 | − | 282.755i | −0.256131 | − | 0.440428i | ||||
\(643\) | 358.249 | + | 864.888i | 0.557152 | + | 1.34508i | 0.912012 | + | 0.410164i | \(0.134528\pi\) |
−0.354860 | + | 0.934919i | \(0.615472\pi\) | |||||||
\(644\) | 140.729 | − | 247.328i | 0.218524 | − | 0.384050i | ||||
\(645\) | −7.89345 | + | 19.0565i | −0.0122379 | + | 0.0295449i | ||||
\(646\) | −670.928 | + | 880.085i | −1.03859 | + | 1.36236i | ||||
\(647\) | −49.6972 | + | 49.6972i | −0.0768117 | + | 0.0768117i | −0.744469 | − | 0.667657i | \(-0.767297\pi\) |
0.667657 | + | 0.744469i | \(0.267297\pi\) | |||||||
\(648\) | −4.51531 | − | 478.786i | −0.00696807 | − | 0.738867i | ||||
\(649\) | 37.0499 | − | 37.0499i | 0.0570876 | − | 0.0570876i | ||||
\(650\) | −147.466 | + | 19.8860i | −0.226871 | + | 0.0305939i | ||||
\(651\) | 18.3815 | − | 44.3769i | 0.0282358 | − | 0.0681673i | ||||
\(652\) | 287.999 | + | 36.0753i | 0.441717 | + | 0.0553302i | ||||
\(653\) | −190.695 | − | 460.379i | −0.292030 | − | 0.705022i | 0.707970 | − | 0.706243i | \(-0.249611\pi\) |
−0.999999 | + | 0.00122104i | \(0.999611\pi\) | |||||||
\(654\) | −154.106 | − | 40.7737i | −0.235636 | − | 0.0623451i | ||||
\(655\) | 441.736 | 0.674406 | ||||||||
\(656\) | −1061.78 | − | 270.240i | −1.61856 | − | 0.411952i | ||||
\(657\) | − | 476.499i | − | 0.725265i | ||||||
\(658\) | −1.54443 | − | 0.408629i | −0.00234715 | − | 0.000621016i | ||||
\(659\) | 383.261 | − | 158.752i | 0.581580 | − | 0.240898i | −0.0724437 | − | 0.997373i | \(-0.523080\pi\) |
0.654023 | + | 0.756474i | \(0.273080\pi\) | |||||||
\(660\) | 46.6448 | + | 60.0038i | 0.0706740 | + | 0.0909148i | ||||
\(661\) | −301.062 | − | 124.704i | −0.455465 | − | 0.188660i | 0.143143 | − | 0.989702i | \(-0.454279\pi\) |
−0.598608 | + | 0.801042i | \(0.704279\pi\) | |||||||
\(662\) | −924.161 | + | 124.625i | −1.39601 | + | 0.188255i | ||||
\(663\) | 218.905 | + | 218.905i | 0.330173 | + | 0.330173i | ||||
\(664\) | −842.082 | + | 358.142i | −1.26820 | + | 0.539371i | ||||
\(665\) | −178.975 | − | 178.975i | −0.269135 | − | 0.269135i | ||||
\(666\) | −535.216 | + | 702.065i | −0.803627 | + | 1.05415i | ||||
\(667\) | −776.680 | − | 321.711i | −1.16444 | − | 0.482326i | ||||
\(668\) | −55.3104 | − | 201.349i | −0.0828000 | − | 0.301421i | ||||
\(669\) | −45.3727 | + | 18.7940i | −0.0678217 | + | 0.0280927i | ||||
\(670\) | 239.484 | + | 411.803i | 0.357439 | + | 0.614632i | ||||
\(671\) | − | 214.971i | − | 0.320374i | ||||||
\(672\) | −59.6209 | + | 47.2559i | −0.0887216 | + | 0.0703213i | ||||
\(673\) | −355.511 | −0.528248 | −0.264124 | − | 0.964489i | \(-0.585083\pi\) | ||||
−0.264124 | + | 0.964489i | \(0.585083\pi\) | |||||||
\(674\) | −56.4024 | + | 32.8008i | −0.0836831 | + | 0.0486658i | ||||
\(675\) | −32.5979 | − | 78.6982i | −0.0482931 | − | 0.116590i | ||||
\(676\) | −13.8514 | − | 50.4239i | −0.0204902 | − | 0.0745915i | ||||
\(677\) | −69.8055 | + | 168.525i | −0.103110 | + | 0.248930i | −0.967012 | − | 0.254730i | \(-0.918013\pi\) |
0.863902 | + | 0.503660i | \(0.168013\pi\) | |||||||
\(678\) | 282.484 | + | 215.350i | 0.416643 | + | 0.317625i | ||||
\(679\) | 262.511 | − | 262.511i | 0.386614 | − | 0.386614i | ||||
\(680\) | 836.244 | + | 337.180i | 1.22977 | + | 0.495853i | ||||
\(681\) | −138.224 | + | 138.224i | −0.202972 | + | 0.202972i | ||||
\(682\) | 25.8672 | + | 191.819i | 0.0379285 | + | 0.281260i | ||||
\(683\) | 166.452 | − | 401.851i | 0.243707 | − | 0.588361i | −0.753938 | − | 0.656946i | \(-0.771848\pi\) |
0.997645 | + | 0.0685841i | \(0.0218481\pi\) | |||||||
\(684\) | 435.869 | + | 560.701i | 0.637235 | + | 0.819738i | ||||
\(685\) | −104.567 | − | 252.447i | −0.152653 | − | 0.368536i | ||||
\(686\) | 9.47428 | − | 35.8084i | 0.0138109 | − | 0.0521988i | ||||
\(687\) | 22.0013 | 0.0320252 | ||||||||
\(688\) | 82.3458 | − | 11.8962i | 0.119689 | − | 0.0172910i | ||||
\(689\) | 840.397i | 1.21974i | ||||||||
\(690\) | 54.5617 | − | 206.218i | 0.0790750 | − | 0.298867i | ||||
\(691\) | −364.926 | + | 151.157i | −0.528113 | + | 0.218752i | −0.630777 | − | 0.775964i | \(-0.717264\pi\) |
0.102663 | + | 0.994716i | \(0.467264\pi\) | |||||||
\(692\) | 272.249 | + | 34.1024i | 0.393423 | + | 0.0492809i | ||||
\(693\) | 95.9233 | + | 39.7327i | 0.138417 | + | 0.0573344i | ||||
\(694\) | −140.291 | − | 1040.34i | −0.202149 | − | 1.49904i | ||||
\(695\) | 336.242 | + | 336.242i | 0.483801 | + | 0.483801i | ||||
\(696\) | 160.416 | + | 157.418i | 0.230482 | + | 0.226176i | ||||
\(697\) | −1236.28 | − | 1236.28i | −1.77372 | − | 1.77372i | ||||
\(698\) | 766.507 | + | 584.342i | 1.09815 | + | 0.837167i | ||||
\(699\) | 30.2857 | + | 12.5447i | 0.0433271 | + | 0.0179467i | ||||
\(700\) | 28.8581 | − | 50.7174i | 0.0412258 | − | 0.0724534i | ||||
\(701\) | 876.664 | − | 363.126i | 1.25059 | − | 0.518012i | 0.343582 | − | 0.939123i | \(-0.388360\pi\) |
0.907009 | + | 0.421111i | \(0.138360\pi\) | |||||||
\(702\) | 360.404 | − | 209.593i | 0.513396 | − | 0.298565i | ||||
\(703\) | − | 1167.65i | − | 1.66095i | ||||||
\(704\) | 111.954 | − | 285.390i | 0.159026 | − | 0.405384i | ||||
\(705\) | −1.19757 | −0.00169868 | ||||||||
\(706\) | −35.0959 | − | 60.3489i | −0.0497109 | − | 0.0854801i | ||||
\(707\) | −41.5056 | − | 100.203i | −0.0587067 | − | 0.141730i | ||||
\(708\) | 34.1723 | + | 19.4439i | 0.0482659 | + | 0.0274632i | ||||
\(709\) | −27.2742 | + | 65.8459i | −0.0384686 | + | 0.0928714i | −0.941946 | − | 0.335764i | \(-0.891006\pi\) |
0.903478 | + | 0.428635i | \(0.141006\pi\) | |||||||
\(710\) | −464.196 | + | 608.906i | −0.653798 | + | 0.857614i | ||||
\(711\) | 396.457 | − | 396.457i | 0.557605 | − | 0.557605i | ||||
\(712\) | 394.866 | + | 387.488i | 0.554587 | + | 0.544224i | ||||
\(713\) | 384.140 | − | 384.140i | 0.538766 | − | 0.538766i | ||||
\(714\) | −120.313 | + | 16.2244i | −0.168506 | + | 0.0227233i | ||||
\(715\) | 109.186 | − | 263.598i | 0.152707 | − | 0.368668i | ||||
\(716\) | 136.934 | − | 1093.18i | 0.191248 | − | 1.52679i | ||||
\(717\) | −155.700 | − | 375.893i | −0.217155 | − | 0.524257i | ||||
\(718\) | −525.447 | − | 139.024i | −0.731820 | − | 0.193627i | ||||
\(719\) | −482.081 | −0.670489 | −0.335244 | − | 0.942131i | \(-0.608819\pi\) | ||||
−0.335244 | + | 0.942131i | \(0.608819\pi\) | |||||||
\(720\) | 346.449 | − | 463.453i | 0.481179 | − | 0.643684i | ||||
\(721\) | 517.447i | 0.717679i | ||||||||
\(722\) | −210.099 | − | 55.5887i | −0.290996 | − | 0.0769926i | ||||
\(723\) | 194.886 | − | 80.7243i | 0.269551 | − | 0.111652i | ||||
\(724\) | −129.181 | + | 100.421i | −0.178427 | + | 0.138703i | ||||
\(725\) | −159.267 | − | 65.9705i | −0.219678 | − | 0.0909938i | ||||
\(726\) | −174.640 | + | 23.5506i | −0.240552 | + | 0.0324388i | ||||
\(727\) | −958.078 | − | 958.078i | −1.31785 | − | 1.31785i | −0.915474 | − | 0.402378i | \(-0.868184\pi\) |
−0.402378 | − | 0.915474i | \(-0.631816\pi\) | |||||||
\(728\) | 264.881 | + | 106.802i | 0.363848 | + | 0.146706i | ||||
\(729\) | −258.372 | − | 258.372i | −0.354420 | − | 0.354420i | ||||
\(730\) | 311.314 | − | 408.364i | 0.426457 | − | 0.559402i | ||||
\(731\) | 122.663 | + | 50.8085i | 0.167801 | + | 0.0695055i | ||||
\(732\) | 155.546 | − | 42.7284i | 0.212495 | − | 0.0583721i | ||||
\(733\) | 1139.64 | − | 472.054i | 1.55476 | − | 0.644002i | 0.570590 | − | 0.821235i | \(-0.306714\pi\) |
0.984169 | + | 0.177233i | \(0.0567145\pi\) | |||||||
\(734\) | 294.892 | + | 507.081i | 0.401761 | + | 0.690845i | ||||
\(735\) | − | 27.7663i | − | 0.0377773i | ||||||
\(736\) | −827.515 | + | 235.732i | −1.12434 | + | 0.320289i | ||||
\(737\) | 258.463 | 0.350695 | ||||||||
\(738\) | −969.911 | + | 564.051i | −1.31424 | + | 0.764297i | ||||
\(739\) | −231.276 | − | 558.350i | −0.312958 | − | 0.755548i | −0.999593 | − | 0.0285453i | \(-0.990913\pi\) |
0.686634 | − | 0.727003i | \(-0.259087\pi\) | |||||||
\(740\) | −917.368 | + | 252.000i | −1.23969 | + | 0.340541i | ||||
\(741\) | −100.557 | + | 242.767i | −0.135705 | + | 0.327620i | ||||
\(742\) | −262.091 | − | 199.804i | −0.353222 | − | 0.269277i | ||||
\(743\) | −633.588 | + | 633.588i | −0.852743 | + | 0.852743i | −0.990470 | − | 0.137727i | \(-0.956020\pi\) |
0.137727 | + | 0.990470i | \(0.456020\pi\) | |||||||
\(744\) | −133.653 | + | 56.8434i | −0.179641 | + | 0.0764024i | ||||
\(745\) | −143.515 | + | 143.515i | −0.192638 | + | 0.192638i | ||||
\(746\) | −120.622 | − | 894.478i | −0.161692 | − | 1.19903i | ||||
\(747\) | −358.614 | + | 865.770i | −0.480072 | + | 1.15900i | ||||
\(748\) | 386.232 | − | 300.243i | 0.516353 | − | 0.401395i | ||||
\(749\) | −184.277 | − | 444.885i | −0.246031 | − | 0.593972i | ||||
\(750\) | 61.9178 | − | 234.021i | 0.0825571 | − | 0.312027i | ||||
\(751\) | −970.408 | −1.29215 | −0.646077 | − | 0.763272i | \(-0.723592\pi\) | ||||
−0.646077 | + | 0.763272i | \(0.723592\pi\) | |||||||
\(752\) | 2.46771 | + | 4.15272i | 0.00328153 | + | 0.00552224i | ||||
\(753\) | − | 279.950i | − | 0.371779i | ||||||
\(754\) | 215.814 | − | 815.676i | 0.286225 | − | 1.08180i | ||||
\(755\) | −44.3563 | + | 18.3730i | −0.0587500 | + | 0.0243351i | ||||
\(756\) | −20.3210 | + | 162.228i | −0.0268796 | + | 0.214587i | ||||
\(757\) | 1169.52 | + | 484.433i | 1.54495 | + | 0.639937i | 0.982393 | − | 0.186824i | \(-0.0598195\pi\) |
0.562552 | + | 0.826762i | \(0.309819\pi\) | |||||||
\(758\) | −59.1787 | − | 438.842i | −0.0780721 | − | 0.578948i | ||||
\(759\) | −81.8373 | − | 81.8373i | −0.107823 | − | 0.107823i | ||||
\(760\) | 7.21729 | + | 765.293i | 0.00949643 | + | 1.00696i | ||||
\(761\) | 30.5801 | + | 30.5801i | 0.0401841 | + | 0.0401841i | 0.726913 | − | 0.686729i | \(-0.240954\pi\) |
−0.686729 | + | 0.726913i | \(0.740954\pi\) | |||||||
\(762\) | −107.365 | − | 81.8491i | −0.140899 | − | 0.107414i | ||||
\(763\) | −216.815 | − | 89.8076i | −0.284161 | − | 0.117703i | ||||
\(764\) | −1289.44 | − | 733.690i | −1.68775 | − | 0.960327i | ||||
\(765\) | 853.077 | − | 353.356i | 1.11513 | − | 0.461903i | ||||
\(766\) | −277.085 | + | 161.139i | −0.361730 | + | 0.210364i | ||||
\(767\) | − | 147.599i | − | 0.192437i | ||||||
\(768\) | 228.751 | + | 24.2815i | 0.297853 | + | 0.0316165i | ||||
\(769\) | 939.017 | 1.22109 | 0.610544 | − | 0.791982i | \(-0.290951\pi\) | ||||
0.610544 | + | 0.791982i | \(0.290951\pi\) | |||||||
\(770\) | 56.2483 | + | 96.7214i | 0.0730497 | + | 0.125612i | ||||
\(771\) | 34.3399 | + | 82.9040i | 0.0445395 | + | 0.107528i | ||||
\(772\) | −343.846 | + | 604.301i | −0.445396 | + | 0.782773i | ||||
\(773\) | 80.5180 | − | 194.388i | 0.104163 | − | 0.251472i | −0.863202 | − | 0.504859i | \(-0.831545\pi\) |
0.967365 | + | 0.253387i | \(0.0815446\pi\) | |||||||
\(774\) | 51.6557 | − | 67.7590i | 0.0667386 | − | 0.0875439i | ||||
\(775\) | 78.7722 | − | 78.7722i | 0.101642 | − | 0.101642i | ||||
\(776\) | −1122.49 | + | 10.5860i | −1.44651 | + | 0.0136417i | ||||
\(777\) | 90.5750 | − | 90.5750i | 0.116570 | − | 0.116570i | ||||
\(778\) | −374.920 | + | 50.5587i | −0.481903 | + | 0.0649854i | ||||
\(779\) | 567.906 | − | 1371.05i | 0.729020 | − | 1.76001i | ||||
\(780\) | 212.433 | + | 26.6098i | 0.272350 | + | 0.0341151i | ||||
\(781\) | 158.974 | + | 383.797i | 0.203552 | + | 0.491418i | ||||
\(782\) | −1327.38 | − | 351.203i | −1.69742 | − | 0.449109i | ||||
\(783\) | 483.009 | 0.616869 | ||||||||
\(784\) | −96.2831 | + | 57.2152i | −0.122810 | + | 0.0729785i | ||||
\(785\) | − | 947.179i | − | 1.20660i | ||||||
\(786\) | 173.858 | + | 45.9997i | 0.221193 | + | 0.0585238i | ||||
\(787\) | −1409.72 | + | 583.926i | −1.79126 | + | 0.741965i | −0.801723 | + | 0.597696i | \(0.796083\pi\) |
−0.989539 | + | 0.144269i | \(0.953917\pi\) | |||||||
\(788\) | 413.755 | + | 532.254i | 0.525070 | + | 0.675450i | ||||
\(789\) | −357.342 | − | 148.016i | −0.452905 | − | 0.187600i | ||||
\(790\) | 598.787 | − | 80.7475i | 0.757958 | − | 0.102212i | ||||
\(791\) | 369.768 | + | 369.768i | 0.467469 | + | 0.467469i | ||||
\(792\) | −122.870 | − | 288.899i | −0.155139 | − | 0.364771i | ||||
\(793\) | −428.200 | − | 428.200i | −0.539975 | − | 0.539975i | ||||
\(794\) | −310.803 | + | 407.694i | −0.391440 | + | 0.513468i | ||||
\(795\) | −228.243 | − | 94.5414i | −0.287098 | − | 0.118920i | ||||
\(796\) | −2.07489 | − | 7.55332i | −0.00260665 | − | 0.00948910i | ||||
\(797\) | 349.792 | − | 144.889i | 0.438886 | − | 0.181792i | −0.152289 | − | 0.988336i | \(-0.548664\pi\) |
0.591175 | + | 0.806544i | \(0.298664\pi\) | |||||||
\(798\) | −51.8031 | − | 89.0778i | −0.0649162 | − | 0.111626i | ||||
\(799\) | 7.70852i | 0.00964771i | ||||||||
\(800\) | −169.691 | + | 48.3396i | −0.212114 | + | 0.0604244i | ||||
\(801\) | 566.548 | 0.707301 | ||||||||
\(802\) | 890.871 | − | 518.085i | 1.11081 | − | 0.645991i | ||||
\(803\) | −106.616 | − | 257.394i | −0.132772 | − | 0.320541i | ||||
\(804\) | 51.3729 | + | 187.015i | 0.0638966 | + | 0.232606i | ||||
\(805\) | 120.177 | − | 290.133i | 0.149288 | − | 0.360413i | ||||
\(806\) | 433.610 | + | 330.560i | 0.537977 | + | 0.410124i | ||||
\(807\) | 252.693 | − | 252.693i | 0.313127 | − | 0.313127i | ||||
\(808\) | −122.638 | + | 304.157i | −0.151780 | + | 0.376432i | ||||
\(809\) | −6.76445 | + | 6.76445i | −0.00836149 | + | 0.00836149i | −0.711275 | − | 0.702914i | \(-0.751882\pi\) |
0.702914 | + | 0.711275i | \(0.251882\pi\) | |||||||
\(810\) | −70.6167 | − | 523.662i | −0.0871811 | − | 0.646496i | ||||
\(811\) | −310.210 | + | 748.913i | −0.382503 | + | 0.923443i | 0.608978 | + | 0.793187i | \(0.291580\pi\) |
−0.991480 | + | 0.130256i | \(0.958420\pi\) | |||||||
\(812\) | 203.072 | + | 261.231i | 0.250088 | + | 0.321713i | ||||
\(813\) | −27.3545 | − | 66.0395i | −0.0336463 | − | 0.0812294i | ||||
\(814\) | −132.025 | + | 498.994i | −0.162193 | + | 0.613015i | ||||
\(815\) | 320.314 | 0.393023 | ||||||||
\(816\) | 294.015 | + | 219.788i | 0.360313 | + | 0.269348i | ||||
\(817\) | 112.694i | 0.137936i | ||||||||
\(818\) | 86.6202 | − | 327.384i | 0.105893 | − | 0.400225i | ||||
\(819\) | 270.213 | − | 111.926i | 0.329930 | − | 0.136662i | ||||
\(820\) | −1199.74 | − | 150.281i | −1.46309 | − | 0.183270i | ||||
\(821\) | 778.657 | + | 322.530i | 0.948425 | + | 0.392850i | 0.802639 | − | 0.596466i | \(-0.203429\pi\) |
0.145786 | + | 0.989316i | \(0.453429\pi\) | |||||||
\(822\) | −14.8670 | − | 110.247i | −0.0180863 | − | 0.134120i | ||||
\(823\) | −650.790 | − | 650.790i | −0.790753 | − | 0.790753i | 0.190863 | − | 0.981617i | \(-0.438871\pi\) |
−0.981617 | + | 0.190863i | \(0.938871\pi\) | |||||||
\(824\) | 1095.86 | − | 1116.73i | 1.32993 | − | 1.35526i | ||||
\(825\) | −16.7817 | − | 16.7817i | −0.0203414 | − | 0.0203414i | ||||
\(826\) | 46.0311 | + | 35.0915i | 0.0557277 | + | 0.0424837i | ||||
\(827\) | 399.575 | + | 165.509i | 0.483162 | + | 0.200132i | 0.610950 | − | 0.791669i | \(-0.290788\pi\) |
−0.127788 | + | 0.991801i | \(0.540788\pi\) | |||||||
\(828\) | −435.767 | + | 765.850i | −0.526289 | + | 0.924940i | ||||
\(829\) | −260.369 | + | 107.848i | −0.314076 | + | 0.130094i | −0.534153 | − | 0.845388i | \(-0.679369\pi\) |
0.220077 | + | 0.975483i | \(0.429369\pi\) | |||||||
\(830\) | −872.973 | + | 507.677i | −1.05177 | + | 0.611659i | ||||
\(831\) | 10.3339i | 0.0124355i | ||||||||
\(832\) | −345.466 | − | 791.469i | −0.415224 | − | 0.951285i | ||||
\(833\) | −178.726 | −0.214557 | ||||||||
\(834\) | 97.3232 | + | 167.352i | 0.116694 | + | 0.200661i | ||||
\(835\) | −88.1840 | − | 212.895i | −0.105610 | − | 0.254964i | ||||
\(836\) | 360.903 | + | 205.353i | 0.431702 | + | 0.245637i | ||||
\(837\) | −119.446 | + | 288.369i | −0.142708 | + | 0.344527i | ||||
\(838\) | 984.627 | − | 1291.58i | 1.17497 | − | 1.54126i | ||||
\(839\) | −894.643 | + | 894.643i | −1.06632 | + | 1.06632i | −0.0686826 | + | 0.997639i | \(0.521880\pi\) |
−0.997639 | + | 0.0686826i | \(0.978120\pi\) | |||||||
\(840\) | −58.8044 | + | 59.9241i | −0.0700052 | + | 0.0713382i | ||||
\(841\) | 96.5180 | − | 96.5180i | 0.114766 | − | 0.114766i | ||||
\(842\) | −1620.31 | + | 218.502i | −1.92436 | + | 0.259504i | ||||
\(843\) | −68.5693 | + | 165.541i | −0.0813396 | + | 0.196371i | ||||
\(844\) | −8.48801 | + | 67.7621i | −0.0100569 | + | 0.0802869i | ||||
\(845\) | −22.0839 | − | 53.3153i | −0.0261348 | − | 0.0630951i | ||||
\(846\) | 4.78231 | + | 1.26532i | 0.00565285 | + | 0.00149565i | ||||
\(847\) | −259.430 | −0.306293 | ||||||||
\(848\) | 142.483 | + | 986.272i | 0.168022 | + | 1.16306i | ||||
\(849\) | 43.1517i | 0.0508265i | ||||||||
\(850\) | −272.195 | − | 72.0181i | −0.320229 | − | 0.0847271i | ||||
\(851\) | 1338.45 | − | 554.403i | 1.57279 | − | 0.651473i | ||||
\(852\) | −246.105 | + | 191.313i | −0.288856 | + | 0.224546i | ||||
\(853\) | −1101.73 | − | 456.353i | −1.29160 | − | 0.534998i | −0.372137 | − | 0.928178i | \(-0.621375\pi\) |
−0.919462 | + | 0.393180i | \(0.871375\pi\) | |||||||
\(854\) | 235.345 | − | 31.7367i | 0.275580 | − | 0.0371624i | ||||
\(855\) | 554.194 | + | 554.194i | 0.648180 | + | 0.648180i | ||||
\(856\) | −544.492 | + | 1350.40i | −0.636089 | + | 1.57757i | ||||
\(857\) | 320.192 | + | 320.192i | 0.373619 | + | 0.373619i | 0.868794 | − | 0.495174i | \(-0.164896\pi\) |
−0.495174 | + | 0.868794i | \(0.664896\pi\) | |||||||
\(858\) | 70.4226 | − | 92.3764i | 0.0820777 | − | 0.107665i | ||||
\(859\) | 975.935 | + | 404.245i | 1.13613 | + | 0.470600i | 0.869860 | − | 0.493299i | \(-0.164209\pi\) |
0.266269 | + | 0.963899i | \(0.414209\pi\) | |||||||
\(860\) | 88.5387 | − | 24.3215i | 0.102952 | − | 0.0282808i | ||||
\(861\) | 150.406 | − | 62.3001i | 0.174687 | − | 0.0723578i | ||||
\(862\) | 513.199 | + | 882.469i | 0.595359 | + | 1.02375i | ||||
\(863\) | − | 558.346i | − | 0.646983i | −0.946231 | − | 0.323492i | \(-0.895143\pi\) | ||
0.946231 | − | 0.323492i | \(-0.104857\pi\) | |||||||
\(864\) | 387.427 | − | 307.077i | 0.448411 | − | 0.355413i | ||||
\(865\) | 302.796 | 0.350053 | ||||||||
\(866\) | −717.624 | + | 417.334i | −0.828665 | + | 0.481909i | ||||
\(867\) | 124.791 | + | 301.271i | 0.143934 | + | 0.347487i | ||||
\(868\) | −206.180 | + | 56.6376i | −0.237535 | + | 0.0652507i | ||||
\(869\) | 125.451 | − | 302.864i | 0.144362 | − | 0.348521i | ||||
\(870\) | 197.251 | + | 150.373i | 0.226725 | + | 0.172843i | ||||
\(871\) | 514.831 | − | 514.831i | 0.591080 | − | 0.591080i | ||||
\(872\) | 277.723 | + | 652.996i | 0.318490 | + | 0.748849i | ||||
\(873\) | −812.864 | + | 812.864i | −0.931116 | + | 0.931116i | ||||
\(874\) | −155.753 | − | 1154.99i | −0.178207 | − | 1.32150i | ||||
\(875\) | 136.379 | − | 329.249i | 0.155862 | − | 0.376284i | ||||
\(876\) | 165.051 | − | 128.305i | 0.188414 | − | 0.146466i | ||||
\(877\) | 214.061 | + | 516.788i | 0.244083 | + | 0.589268i | 0.997681 | − | 0.0680678i | \(-0.0216834\pi\) |
−0.753598 | + | 0.657336i | \(0.771683\pi\) | |||||||
\(878\) | −404.017 | + | 1527.00i | −0.460156 | + | 1.73917i | ||||
\(879\) | 60.8740 | 0.0692537 | ||||||||
\(880\) | 83.4471 | − | 327.864i | 0.0948262 | − | 0.372573i | ||||
\(881\) | 786.792i | 0.893067i | 0.894767 | + | 0.446533i | \(0.147342\pi\) | ||||
−0.894767 | + | 0.446533i | \(0.852658\pi\) | |||||||
\(882\) | −29.3370 | + | 110.880i | −0.0332619 | + | 0.125715i | ||||
\(883\) | 431.473 | − | 178.722i | 0.488644 | − | 0.202403i | −0.124737 | − | 0.992190i | \(-0.539809\pi\) |
0.613381 | + | 0.789787i | \(0.289809\pi\) | |||||||
\(884\) | 171.282 | − | 1367.39i | 0.193757 | − | 1.54682i | ||||
\(885\) | 40.0864 | + | 16.6043i | 0.0452953 | + | 0.0187619i | ||||
\(886\) | 0.585001 | + | 4.33810i | 0.000660272 | + | 0.00489628i | ||||
\(887\) | 146.612 | + | 146.612i | 0.165289 | + | 0.165289i | 0.784905 | − | 0.619616i | \(-0.212712\pi\) |
−0.619616 | + | 0.784905i | \(0.712712\pi\) | |||||||
\(888\) | −387.298 | + | 3.65251i | −0.436146 | + | 0.00411318i | ||||
\(889\) | −140.540 | − | 140.540i | −0.158087 | − | 0.158087i | ||||
\(890\) | 485.536 | + | 370.146i | 0.545546 | + | 0.415894i | ||||
\(891\) | −264.866 | − | 109.711i | −0.297269 | − | 0.123133i | ||||
\(892\) | 190.011 | + | 108.116i | 0.213016 | + | 0.121206i | ||||
\(893\) | −6.04491 | + | 2.50389i | −0.00676922 | + | 0.00280390i | ||||
\(894\) | −71.4293 | + | 41.5397i | −0.0798986 | + | 0.0464650i | ||||
\(895\) | − | 1215.84i | − | 1.35848i | ||||||
\(896\) | 328.966 | + | 80.4320i | 0.367150 | + | 0.0897679i | ||||
\(897\) | −326.023 | −0.363460 | ||||||||
\(898\) | 527.037 | + | 906.263i | 0.586900 | + | 1.00920i | ||||
\(899\) | 241.731 | + | 583.591i | 0.268889 | + | 0.649156i | ||||
\(900\) | −89.3589 | + | 157.046i | −0.0992877 | + | 0.174496i | ||||
\(901\) | −608.544 | + | 1469.15i | −0.675409 | + | 1.63058i | ||||
\(902\) | −397.719 | + | 521.704i | −0.440930 | + | 0.578386i | ||||
\(903\) | −8.74173 | + | 8.74173i | −0.00968077 | + | 0.00968077i | ||||
\(904\) | −14.9112 | − | 1581.13i | −0.0164947 | − | 1.74903i | ||||
\(905\) | −127.682 | + | 127.682i | −0.141085 | + | 0.141085i | ||||
\(906\) | −19.3709 | + | 2.61220i | −0.0213807 | + | 0.00288322i | ||||
\(907\) | 214.470 | − | 517.776i | 0.236461 | − | 0.570866i | −0.760451 | − | 0.649395i | \(-0.775022\pi\) |
0.996912 | + | 0.0785287i | \(0.0250222\pi\) | |||||||
\(908\) | 863.417 | + | 108.153i | 0.950900 | + | 0.119111i | ||||
\(909\) | 128.522 | + | 310.279i | 0.141388 | + | 0.341341i | ||||
\(910\) | 304.700 | + | 80.6184i | 0.334835 | + | 0.0885916i | ||||
\(911\) | 830.737 | 0.911896 | 0.455948 | − | 0.890006i | \(-0.349300\pi\) | ||||
0.455948 | + | 0.890006i | \(0.349300\pi\) | |||||||
\(912\) | −76.8525 | + | 301.954i | −0.0842681 | + | 0.331090i | ||||
\(913\) | 547.909i | 0.600120i | ||||||||
\(914\) | 1198.15 | + | 317.009i | 1.31088 | + | 0.346837i | ||||
\(915\) | 164.466 | − | 68.1239i | 0.179744 | − | 0.0744523i | ||||
\(916\) | −60.1082 | − | 77.3231i | −0.0656203 | − | 0.0844139i | ||||
\(917\) | 244.604 | + | 101.318i | 0.266744 | + | 0.110489i | ||||
\(918\) | 781.815 | − | 105.429i | 0.851651 | − | 0.114847i | ||||
\(919\) | 459.455 | + | 459.455i | 0.499951 | + | 0.499951i | 0.911422 | − | 0.411472i | \(-0.134985\pi\) |
−0.411472 | + | 0.911422i | \(0.634985\pi\) | |||||||
\(920\) | −873.813 | + | 371.638i | −0.949797 | + | 0.403954i | ||||
\(921\) | −63.2841 | − | 63.2841i | −0.0687124 | − | 0.0687124i | ||||
\(922\) | −163.249 | + | 214.141i | −0.177060 | + | 0.232257i | ||||
\(923\) | 1081.15 | + | 447.825i | 1.17134 | + | 0.485184i | ||||
\(924\) | 12.0661 | + | 43.9248i | 0.0130585 | + | 0.0475376i | ||||
\(925\) | 274.464 | − | 113.687i | 0.296718 | − | 0.122904i | ||||
\(926\) | −37.7574 | − | 64.9255i | −0.0407747 | − | 0.0701140i | ||||
\(927\) | − | 1602.27i | − | 1.72845i | ||||||
\(928\) | 114.983 | − | 993.849i | 0.123904 | − | 1.07096i | ||||
\(929\) | −789.837 | −0.850202 | −0.425101 | − | 0.905146i | \(-0.639761\pi\) | ||||
−0.425101 | + | 0.905146i | \(0.639761\pi\) | |||||||
\(930\) | −138.556 | + | 80.5771i | −0.148985 | + | 0.0866421i | ||||
\(931\) | −58.0539 | − | 140.155i | −0.0623565 | − | 0.150542i | ||||
\(932\) | −38.6531 | − | 140.711i | −0.0414733 | − | 0.150977i | ||||
\(933\) | −42.0666 | + | 101.558i | −0.0450875 | + | 0.108851i | ||||
\(934\) | −574.001 | − | 437.587i | −0.614562 | − | 0.468508i | ||||
\(935\) | 381.750 | − | 381.750i | 0.408289 | − | 0.408289i | ||||
\(936\) | −820.203 | − | 330.712i | −0.876285 | − | 0.353325i | ||||
\(937\) | 887.679 | − | 887.679i | 0.947363 | − | 0.947363i | −0.0513197 | − | 0.998682i | \(-0.516343\pi\) |
0.998682 | + | 0.0513197i | \(0.0163427\pi\) | |||||||
\(938\) | 38.1575 | + | 282.958i | 0.0406796 | + | 0.301662i | ||||
\(939\) | 112.991 | − | 272.784i | 0.120331 | − | 0.290505i | ||||
\(940\) | 3.27180 | + | 4.20884i | 0.00348064 | + | 0.00447749i | ||||
\(941\) | −158.252 | − | 382.053i | −0.168174 | − | 0.406008i | 0.817214 | − | 0.576335i | \(-0.195518\pi\) |
−0.985388 | + | 0.170327i | \(0.945518\pi\) | |||||||
\(942\) | 98.6335 | − | 372.789i | 0.104706 | − | 0.395742i | ||||
\(943\) | 1841.25 | 1.95254 | ||||||||
\(944\) | −25.0243 | − | 173.219i | −0.0265088 | − | 0.183495i | ||||
\(945\) | 180.430i | 0.190932i | ||||||||
\(946\) | 12.7423 | − | 48.1598i | 0.0134696 | − | 0.0509089i | ||||
\(947\) | −389.900 | + | 161.502i | −0.411721 | + | 0.170540i | −0.578923 | − | 0.815382i | \(-0.696527\pi\) |
0.167202 | + | 0.985923i | \(0.446527\pi\) | |||||||
\(948\) | 244.078 | + | 30.5736i | 0.257466 | + | 0.0322507i | ||||
\(949\) | −725.072 | − | 300.335i | −0.764038 | − | 0.316475i | ||||
\(950\) | −31.9389 | − | 236.844i | −0.0336199 | − | 0.249310i | ||||
\(951\) | 12.3830 | + | 12.3830i | 0.0130210 | + | 0.0130210i | ||||
\(952\) | 385.719 | + | 378.512i | 0.405167 | + | 0.397597i | ||||
\(953\) | 147.793 | + | 147.793i | 0.155081 | + | 0.155081i | 0.780383 | − | 0.625302i | \(-0.215024\pi\) |
−0.625302 | + | 0.780383i | \(0.715024\pi\) | |||||||
\(954\) | 811.563 | + | 618.690i | 0.850695 | + | 0.648523i | ||||
\(955\) | −1512.60 | − | 626.541i | −1.58388 | − | 0.656064i | ||||
\(956\) | −895.690 | + | 1574.15i | −0.936914 | + | 1.64660i | ||||
\(957\) | 124.328 | − | 51.4985i | 0.129915 | − | 0.0538125i | ||||
\(958\) | 671.137 | − | 390.299i | 0.700561 | − | 0.407411i | ||||
\(959\) | − | 163.773i | − | 0.170774i | ||||||
\(960\) | 253.818 | − | 4.78782i | 0.264394 | − | 0.00498731i | ||||
\(961\) | 552.802 | 0.575236 | ||||||||
\(962\) | 730.964 | + | 1256.93i | 0.759838 | + | 1.30658i | ||||
\(963\) | 570.614 | + | 1377.58i | 0.592538 | + | 1.43051i | ||||
\(964\) | −816.137 | − | 464.380i | −0.846615 | − | 0.481722i | ||||
\(965\) | −293.630 | + | 708.886i | −0.304280 | + | 0.734596i | ||||
\(966\) | 77.5117 | − | 101.675i | 0.0802398 | − | 0.105254i | ||||
\(967\) | −541.417 | + | 541.417i | −0.559893 | + | 0.559893i | −0.929277 | − | 0.369384i | \(-0.879569\pi\) |
0.369384 | + | 0.929277i | \(0.379569\pi\) | |||||||
\(968\) | 559.891 | + | 549.429i | 0.578400 | + | 0.567592i | ||||
\(969\) | −351.581 | + | 351.581i | −0.362829 | + | 0.362829i | ||||
\(970\) | −1227.70 | + | 165.558i | −1.26567 | + | 0.170678i | ||||
\(971\) | 13.9895 | − | 33.7736i | 0.0144073 | − | 0.0347823i | −0.916512 | − | 0.400007i | \(-0.869008\pi\) |
0.930919 | + | 0.365224i | \(0.119008\pi\) | |||||||
\(972\) | 95.8632 | − | 765.303i | 0.0986247 | − | 0.787349i | ||||
\(973\) | 109.067 | + | 263.310i | 0.112093 | + | 0.270617i | ||||
\(974\) | 1513.29 | + | 400.392i | 1.55369 | + | 0.411080i | ||||
\(975\) | −66.8547 | −0.0685689 | ||||||||
\(976\) | −575.125 | − | 429.928i | −0.589267 | − | 0.440500i | ||||
\(977\) | − | 1346.39i | − | 1.37808i | −0.724723 | − | 0.689041i | \(-0.758032\pi\) | ||
0.724723 | − | 0.689041i | \(-0.241968\pi\) | |||||||
\(978\) | 126.068 | + | 33.3555i | 0.128904 | + | 0.0341059i | ||||
\(979\) | 306.037 | − | 126.765i | 0.312601 | − | 0.129484i | ||||
\(980\) | −97.5842 | + | 75.8584i | −0.0995757 | + | 0.0774066i | ||||
\(981\) | 671.366 | + | 278.089i | 0.684369 | + | 0.283475i | ||||
\(982\) | 1599.58 | − | 215.707i | 1.62890 | − | 0.219660i | ||||
\(983\) | −603.976 | − | 603.976i | −0.614422 | − | 0.614422i | 0.329673 | − | 0.944095i | \(-0.393061\pi\) |
−0.944095 | + | 0.329673i | \(0.893061\pi\) | |||||||
\(984\) | −456.540 | − | 184.081i | −0.463964 | − | 0.187074i | ||||
\(985\) | 526.077 | + | 526.077i | 0.534089 | + | 0.534089i | ||||
\(986\) | 967.921 | − | 1269.66i | 0.981665 | − | 1.28769i | ||||
\(987\) | −0.663135 | − | 0.274680i | −0.000671870 | − | 0.000278298i | ||||
\(988\) | 1127.92 | − | 309.839i | 1.14162 | − | 0.313603i | ||||
\(989\) | −129.179 | + | 53.5076i | −0.130615 | + | 0.0541027i | ||||
\(990\) | −174.172 | − | 299.497i | −0.175932 | − | 0.302522i | ||||
\(991\) | 685.038i | 0.691260i | 0.938371 | + | 0.345630i | \(0.112335\pi\) | ||||
−0.938371 | + | 0.345630i | \(0.887665\pi\) | |||||||
\(992\) | 564.919 | + | 314.423i | 0.569475 | + | 0.316958i | ||||
\(993\) | −418.975 | −0.421928 | ||||||||
\(994\) | −396.702 | + | 230.702i | −0.399097 | + | 0.232094i | ||||
\(995\) | −3.30810 | − | 7.98645i | −0.00332472 | − | 0.00802658i | ||||
\(996\) | −396.449 | + | 108.904i | −0.398042 | + | 0.109342i | ||||
\(997\) | −545.439 | + | 1316.81i | −0.547080 | + | 1.32077i | 0.372561 | + | 0.928008i | \(0.378480\pi\) |
−0.919641 | + | 0.392761i | \(0.871520\pi\) | |||||||
\(998\) | 880.351 | + | 671.131i | 0.882116 | + | 0.672476i | ||||
\(999\) | −588.572 | + | 588.572i | −0.589161 | + | 0.589161i |
(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 | 224.3.w.a.43.16 | ✓ | 192 | |
32.3 | odd | 8 | inner | 224.3.w.a.99.16 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.3.w.a.43.16 | ✓ | 192 | 1.1 | even | 1 | trivial | |
224.3.w.a.99.16 | yes | 192 | 32.3 | odd | 8 | inner |