Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 131.31 | ||
Character | \(\chi\) | \(=\) | 300.131 |
Dual form | 300.2.n.a.71.31 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.322989 | + | 1.37684i | 0.228388 | + | 0.973570i | ||||
\(3\) | 0.0437168 | + | 1.73150i | 0.0252399 | + | 0.999681i | ||||
\(4\) | −1.79136 | + | 0.889407i | −0.895678 | + | 0.444703i | ||||
\(5\) | −1.79390 | + | 1.33489i | −0.802257 | + | 0.596979i | ||||
\(6\) | −2.36987 | + | 0.619447i | −0.967496 | + | 0.252888i | ||||
\(7\) | − | 3.04159i | − | 1.14961i | −0.818290 | − | 0.574806i | \(-0.805077\pi\) | ||
0.818290 | − | 0.574806i | \(-0.194923\pi\) | |||||||
\(8\) | −1.80316 | − | 2.17913i | −0.637512 | − | 0.770440i | ||||
\(9\) | −2.99618 | + | 0.151391i | −0.998726 | + | 0.0504637i | ||||
\(10\) | −2.41733 | − | 2.03875i | −0.764427 | − | 0.644710i | ||||
\(11\) | 0.519850 | + | 1.59994i | 0.156741 | + | 0.482399i | 0.998333 | − | 0.0577147i | \(-0.0183814\pi\) |
−0.841592 | + | 0.540113i | \(0.818381\pi\) | |||||||
\(12\) | −1.61832 | − | 3.06285i | −0.467168 | − | 0.884168i | ||||
\(13\) | −1.88691 | + | 5.80732i | −0.523336 | + | 1.61066i | 0.244248 | + | 0.969713i | \(0.421459\pi\) |
−0.767584 | + | 0.640949i | \(0.778541\pi\) | |||||||
\(14\) | 4.18777 | − | 0.982401i | 1.11923 | − | 0.262558i | ||||
\(15\) | −2.38978 | − | 3.04778i | −0.617038 | − | 0.786933i | ||||
\(16\) | 2.41791 | − | 3.18649i | 0.604478 | − | 0.796622i | ||||
\(17\) | −0.841506 | + | 1.15823i | −0.204095 | + | 0.280913i | −0.898779 | − | 0.438403i | \(-0.855544\pi\) |
0.694684 | + | 0.719316i | \(0.255544\pi\) | |||||||
\(18\) | −1.17617 | − | 4.07635i | −0.277227 | − | 0.960804i | ||||
\(19\) | 2.14597 | − | 2.95368i | 0.492320 | − | 0.677621i | −0.488494 | − | 0.872568i | \(-0.662453\pi\) |
0.980814 | + | 0.194947i | \(0.0624534\pi\) | |||||||
\(20\) | 2.02626 | − | 3.98676i | 0.453085 | − | 0.891467i | ||||
\(21\) | 5.26651 | − | 0.132969i | 1.14925 | − | 0.0290161i | ||||
\(22\) | −2.03494 | + | 1.23251i | −0.433851 | + | 0.262772i | ||||
\(23\) | 1.33200 | + | 4.09948i | 0.277742 | + | 0.854801i | 0.988481 | + | 0.151346i | \(0.0483606\pi\) |
−0.710739 | + | 0.703456i | \(0.751639\pi\) | |||||||
\(24\) | 3.69434 | − | 3.21743i | 0.754104 | − | 0.656755i | ||||
\(25\) | 1.43616 | − | 4.78931i | 0.287231 | − | 0.957861i | ||||
\(26\) | −8.60518 | − | 0.722268i | −1.68762 | − | 0.141648i | ||||
\(27\) | −0.393117 | − | 5.18126i | −0.0756554 | − | 0.997134i | ||||
\(28\) | 2.70521 | + | 5.44857i | 0.511237 | + | 1.02968i | ||||
\(29\) | 1.32412 | + | 1.82249i | 0.245883 | + | 0.338428i | 0.914064 | − | 0.405570i | \(-0.132927\pi\) |
−0.668181 | + | 0.743998i | \(0.732927\pi\) | |||||||
\(30\) | 3.42442 | − | 4.27473i | 0.625211 | − | 0.780456i | ||||
\(31\) | −3.80357 | + | 5.23517i | −0.683142 | + | 0.940264i | −0.999966 | − | 0.00822000i | \(-0.997383\pi\) |
0.316824 | + | 0.948484i | \(0.397383\pi\) | |||||||
\(32\) | 5.16823 | + | 2.29987i | 0.913623 | + | 0.406563i | ||||
\(33\) | −2.74756 | + | 0.970065i | −0.478289 | + | 0.168867i | ||||
\(34\) | −1.86650 | − | 0.784519i | −0.320101 | − | 0.134544i | ||||
\(35\) | 4.06018 | + | 5.45631i | 0.686295 | + | 0.922284i | ||||
\(36\) | 5.23257 | − | 2.93602i | 0.872095 | − | 0.489336i | ||||
\(37\) | −3.25448 | + | 10.0162i | −0.535033 | + | 1.64666i | 0.208546 | + | 0.978012i | \(0.433127\pi\) |
−0.743579 | + | 0.668648i | \(0.766873\pi\) | |||||||
\(38\) | 4.75986 | + | 2.00065i | 0.772151 | + | 0.324548i | ||||
\(39\) | −10.1379 | − | 3.01331i | −1.62336 | − | 0.482516i | ||||
\(40\) | 6.14358 | + | 1.50214i | 0.971385 | + | 0.237510i | ||||
\(41\) | −8.40760 | − | 2.73179i | −1.31305 | − | 0.426635i | −0.432945 | − | 0.901420i | \(-0.642526\pi\) |
−0.880101 | + | 0.474786i | \(0.842526\pi\) | |||||||
\(42\) | 1.88410 | + | 7.20817i | 0.290723 | + | 1.11224i | ||||
\(43\) | 2.84174i | 0.433361i | 0.976243 | + | 0.216681i | \(0.0695230\pi\) | ||||
−0.976243 | + | 0.216681i | \(0.930477\pi\) | |||||||
\(44\) | −2.35423 | − | 2.40369i | −0.354914 | − | 0.362371i | ||||
\(45\) | 5.17275 | − | 4.27114i | 0.771109 | − | 0.636704i | ||||
\(46\) | −5.21409 | + | 3.15804i | −0.768776 | + | 0.465627i | ||||
\(47\) | 5.06530 | − | 3.68016i | 0.738850 | − | 0.536806i | −0.153501 | − | 0.988149i | \(-0.549055\pi\) |
0.892351 | + | 0.451342i | \(0.149055\pi\) | |||||||
\(48\) | 5.62310 | + | 4.04731i | 0.811625 | + | 0.584179i | ||||
\(49\) | −2.25126 | −0.321609 | ||||||||
\(50\) | 7.05795 | + | 0.430458i | 0.998145 | + | 0.0608760i | ||||
\(51\) | −2.04227 | − | 1.40643i | −0.285975 | − | 0.196940i | ||||
\(52\) | −1.78494 | − | 12.0812i | −0.247526 | − | 1.67536i | ||||
\(53\) | 5.69631 | + | 7.84030i | 0.782448 | + | 1.07695i | 0.995008 | + | 0.0997996i | \(0.0318202\pi\) |
−0.212559 | + | 0.977148i | \(0.568180\pi\) | |||||||
\(54\) | 7.00677 | − | 2.21475i | 0.953501 | − | 0.301389i | ||||
\(55\) | −3.06829 | − | 2.17618i | −0.413728 | − | 0.293436i | ||||
\(56\) | −6.62803 | + | 5.48446i | −0.885708 | + | 0.732892i | ||||
\(57\) | 5.20811 | + | 3.58663i | 0.689831 | + | 0.475060i | ||||
\(58\) | −2.08160 | + | 2.41174i | −0.273327 | + | 0.316677i | ||||
\(59\) | 3.64876 | − | 11.2297i | 0.475028 | − | 1.46199i | −0.370891 | − | 0.928676i | \(-0.620948\pi\) |
0.845920 | − | 0.533311i | \(-0.179052\pi\) | |||||||
\(60\) | 6.99166 | + | 3.33417i | 0.902619 | + | 0.430440i | ||||
\(61\) | 0.190864 | + | 0.587420i | 0.0244377 | + | 0.0752114i | 0.962532 | − | 0.271170i | \(-0.0874104\pi\) |
−0.938094 | + | 0.346381i | \(0.887410\pi\) | |||||||
\(62\) | −8.43648 | − | 3.54599i | −1.07143 | − | 0.450342i | ||||
\(63\) | 0.460470 | + | 9.11314i | 0.0580137 | + | 1.14815i | ||||
\(64\) | −1.49726 | + | 7.85864i | −0.187157 | + | 0.982330i | ||||
\(65\) | −4.36718 | − | 12.9366i | −0.541682 | − | 1.60458i | ||||
\(66\) | −2.22305 | − | 3.46962i | −0.273639 | − | 0.427081i | ||||
\(67\) | −1.22685 | + | 1.68861i | −0.149883 | + | 0.206296i | −0.877356 | − | 0.479840i | \(-0.840695\pi\) |
0.727473 | + | 0.686136i | \(0.240695\pi\) | |||||||
\(68\) | 0.477296 | − | 2.82325i | 0.0578806 | − | 0.342369i | ||||
\(69\) | −7.04002 | + | 2.48558i | −0.847519 | + | 0.299228i | ||||
\(70\) | −6.20105 | + | 7.35253i | −0.741167 | + | 0.878795i | ||||
\(71\) | 0.331304 | − | 0.240707i | 0.0393186 | − | 0.0285666i | −0.567952 | − | 0.823061i | \(-0.692264\pi\) |
0.607271 | + | 0.794495i | \(0.292264\pi\) | |||||||
\(72\) | 5.73248 | + | 6.25609i | 0.675579 | + | 0.737288i | ||||
\(73\) | 0.657763 | + | 2.02439i | 0.0769853 | + | 0.236936i | 0.982142 | − | 0.188142i | \(-0.0602465\pi\) |
−0.905157 | + | 0.425078i | \(0.860247\pi\) | |||||||
\(74\) | −14.8419 | − | 1.24574i | −1.72533 | − | 0.144814i | ||||
\(75\) | 8.35546 | + | 2.27733i | 0.964806 | + | 0.262964i | ||||
\(76\) | −1.21718 | + | 7.19974i | −0.139620 | + | 0.825866i | ||||
\(77\) | 4.86635 | − | 1.58117i | 0.554572 | − | 0.180191i | ||||
\(78\) | 0.874415 | − | 14.9314i | 0.0990080 | − | 1.69065i | ||||
\(79\) | 8.14442 | + | 11.2098i | 0.916318 | + | 1.26120i | 0.964962 | + | 0.262388i | \(0.0845100\pi\) |
−0.0486441 | + | 0.998816i | \(0.515490\pi\) | |||||||
\(80\) | −0.0838934 | + | 8.94388i | −0.00937956 | + | 0.999956i | ||||
\(81\) | 8.95416 | − | 0.907190i | 0.994907 | − | 0.100799i | ||||
\(82\) | 1.04567 | − | 12.4582i | 0.115475 | − | 1.37578i | ||||
\(83\) | 5.79636 | + | 4.21130i | 0.636233 | + | 0.462250i | 0.858554 | − | 0.512723i | \(-0.171363\pi\) |
−0.222321 | + | 0.974974i | \(0.571363\pi\) | |||||||
\(84\) | −9.31593 | + | 4.92226i | −1.01645 | + | 0.537063i | ||||
\(85\) | −0.0365324 | − | 3.20107i | −0.00396249 | − | 0.347205i | ||||
\(86\) | −3.91261 | + | 0.917851i | −0.421908 | + | 0.0989745i | ||||
\(87\) | −3.09776 | + | 2.37238i | −0.332114 | + | 0.254346i | ||||
\(88\) | 2.54910 | − | 4.01776i | 0.271735 | − | 0.428294i | ||||
\(89\) | −0.333139 | + | 0.108243i | −0.0353126 | + | 0.0114738i | −0.326620 | − | 0.945156i | \(-0.605910\pi\) |
0.291307 | + | 0.956629i | \(0.405910\pi\) | |||||||
\(90\) | 7.55140 | + | 5.74250i | 0.795988 | + | 0.605313i | ||||
\(91\) | 17.6635 | + | 5.73921i | 1.85164 | + | 0.601633i | ||||
\(92\) | −6.03220 | − | 6.15894i | −0.628900 | − | 0.642114i | ||||
\(93\) | −9.23097 | − | 6.35702i | −0.957207 | − | 0.659192i | ||||
\(94\) | 6.70301 | + | 5.78544i | 0.691363 | + | 0.596723i | ||||
\(95\) | 0.0931634 | + | 8.16324i | 0.00955836 | + | 0.837531i | ||||
\(96\) | −3.75628 | + | 9.04933i | −0.383374 | + | 0.923593i | ||||
\(97\) | −0.649353 | + | 0.471783i | −0.0659318 | + | 0.0479023i | −0.620263 | − | 0.784394i | \(-0.712974\pi\) |
0.554331 | + | 0.832296i | \(0.312974\pi\) | |||||||
\(98\) | −0.727134 | − | 3.09962i | −0.0734516 | − | 0.313109i | ||||
\(99\) | −1.79978 | − | 4.71499i | −0.180885 | − | 0.473874i | ||||
\(100\) | 1.68697 | + | 9.85668i | 0.168697 | + | 0.985668i | ||||
\(101\) | − | 9.88678i | − | 0.983771i | −0.870660 | − | 0.491886i | \(-0.836308\pi\) | ||
0.870660 | − | 0.491886i | \(-0.163692\pi\) | |||||||
\(102\) | 1.27680 | − | 3.26613i | 0.126422 | − | 0.323395i | ||||
\(103\) | −4.39542 | − | 6.04977i | −0.433093 | − | 0.596102i | 0.535566 | − | 0.844493i | \(-0.320098\pi\) |
−0.968660 | + | 0.248391i | \(0.920098\pi\) | |||||||
\(104\) | 16.0573 | − | 6.35967i | 1.57455 | − | 0.623617i | ||||
\(105\) | −9.27009 | + | 7.26872i | −0.904668 | + | 0.709355i | ||||
\(106\) | −8.95496 | + | 10.3752i | −0.869783 | + | 1.00773i | ||||
\(107\) | −1.26467 | −0.122260 | −0.0611301 | − | 0.998130i | \(-0.519470\pi\) | ||||
−0.0611301 | + | 0.998130i | \(0.519470\pi\) | |||||||
\(108\) | 5.31246 | + | 8.93184i | 0.511192 | + | 0.859467i | ||||
\(109\) | 3.82352 | − | 11.7676i | 0.366227 | − | 1.12713i | −0.582983 | − | 0.812485i | \(-0.698114\pi\) |
0.949209 | − | 0.314645i | \(-0.101886\pi\) | |||||||
\(110\) | 2.00522 | − | 4.92742i | 0.191190 | − | 0.469811i | ||||
\(111\) | −17.4854 | − | 5.19724i | −1.65964 | − | 0.493300i | ||||
\(112\) | −9.69199 | − | 7.35429i | −0.915807 | − | 0.694915i | ||||
\(113\) | 14.3187 | + | 4.65242i | 1.34699 | + | 0.437662i | 0.891678 | − | 0.452671i | \(-0.149529\pi\) |
0.455309 | + | 0.890334i | \(0.349529\pi\) | |||||||
\(114\) | −3.25603 | + | 8.32916i | −0.304956 | + | 0.780097i | ||||
\(115\) | −7.86182 | − | 5.57599i | −0.733119 | − | 0.519964i | ||||
\(116\) | −3.99290 | − | 2.08705i | −0.370732 | − | 0.193778i | ||||
\(117\) | 4.77435 | − | 17.6854i | 0.441389 | − | 1.63502i | ||||
\(118\) | 16.6400 | + | 1.39666i | 1.53184 | + | 0.128573i | ||||
\(119\) | 3.52287 | + | 2.55952i | 0.322941 | + | 0.234630i | ||||
\(120\) | −2.33238 | + | 10.7033i | −0.212916 | + | 0.977070i | ||||
\(121\) | 6.60964 | − | 4.80218i | 0.600876 | − | 0.436562i | ||||
\(122\) | −0.747134 | + | 0.452519i | −0.0676423 | + | 0.0409692i | ||||
\(123\) | 4.36255 | − | 14.6772i | 0.393358 | − | 1.32340i | ||||
\(124\) | 2.15736 | − | 12.7610i | 0.193737 | − | 1.14597i | ||||
\(125\) | 3.81686 | + | 10.5086i | 0.341390 | + | 0.939922i | ||||
\(126\) | −12.3986 | + | 3.57744i | −1.10455 | + | 0.318704i | ||||
\(127\) | 0.0967531 | − | 0.0314370i | 0.00858545 | − | 0.00278958i | −0.304721 | − | 0.952442i | \(-0.598563\pi\) |
0.313307 | + | 0.949652i | \(0.398563\pi\) | |||||||
\(128\) | −11.3037 | + | 0.476780i | −0.999112 | + | 0.0421418i | ||||
\(129\) | −4.92047 | + | 0.124232i | −0.433223 | + | 0.0109380i | ||||
\(130\) | 16.4010 | − | 10.1913i | 1.43846 | − | 0.893833i | ||||
\(131\) | −2.63804 | − | 1.91665i | −0.230486 | − | 0.167458i | 0.466548 | − | 0.884496i | \(-0.345498\pi\) |
−0.697034 | + | 0.717038i | \(0.745498\pi\) | |||||||
\(132\) | 4.05908 | − | 4.18143i | 0.353297 | − | 0.363947i | ||||
\(133\) | −8.98388 | − | 6.52717i | −0.779001 | − | 0.565978i | ||||
\(134\) | −2.72119 | − | 1.14376i | −0.235075 | − | 0.0988061i | ||||
\(135\) | 7.62161 | + | 8.76990i | 0.655963 | + | 0.754793i | ||||
\(136\) | 4.04131 | − | 0.254721i | 0.346540 | − | 0.0218421i | ||||
\(137\) | 1.43686 | + | 0.466863i | 0.122759 | + | 0.0398868i | 0.369752 | − | 0.929130i | \(-0.379443\pi\) |
−0.246993 | + | 0.969017i | \(0.579443\pi\) | |||||||
\(138\) | −5.69608 | − | 8.89014i | −0.484883 | − | 0.756779i | ||||
\(139\) | −8.29339 | + | 2.69469i | −0.703436 | + | 0.228560i | −0.638827 | − | 0.769350i | \(-0.720580\pi\) |
−0.0646093 | + | 0.997911i | \(0.520580\pi\) | |||||||
\(140\) | −12.1261 | − | 6.16304i | −1.02484 | − | 0.520872i | ||||
\(141\) | 6.59363 | + | 8.60968i | 0.555284 | + | 0.725066i | ||||
\(142\) | 0.438421 | + | 0.378406i | 0.0367915 | + | 0.0317551i | ||||
\(143\) | −10.2723 | −0.859009 | ||||||||
\(144\) | −6.76209 | + | 9.91333i | −0.563507 | + | 0.826111i | ||||
\(145\) | −4.80816 | − | 1.50182i | −0.399296 | − | 0.124720i | ||||
\(146\) | −2.57480 | + | 1.55949i | −0.213092 | + | 0.129064i | ||||
\(147\) | −0.0984180 | − | 3.89806i | −0.00811738 | − | 0.321506i | ||||
\(148\) | −3.07859 | − | 20.8372i | −0.253059 | − | 1.71281i | ||||
\(149\) | 7.84832i | 0.642960i | 0.946916 | + | 0.321480i | \(0.104180\pi\) | ||||
−0.946916 | + | 0.321480i | \(0.895820\pi\) | |||||||
\(150\) | −0.436787 | + | 12.2397i | −0.0356635 | + | 0.999364i | ||||
\(151\) | − | 22.0326i | − | 1.79299i | −0.443052 | − | 0.896496i | \(-0.646104\pi\) | ||
0.443052 | − | 0.896496i | \(-0.353896\pi\) | |||||||
\(152\) | −10.3060 | + | 0.649579i | −0.835926 | + | 0.0526878i | ||||
\(153\) | 2.34596 | − | 3.59767i | 0.189659 | − | 0.290854i | ||||
\(154\) | 3.74879 | + | 6.18946i | 0.302086 | + | 0.498761i | ||||
\(155\) | −0.165125 | − | 14.4687i | −0.0132632 | − | 1.16215i | ||||
\(156\) | 20.8406 | − | 3.61877i | 1.66858 | − | 0.289734i | ||||
\(157\) | 5.67807 | 0.453159 | 0.226580 | − | 0.973993i | \(-0.427246\pi\) | ||||
0.226580 | + | 0.973993i | \(0.427246\pi\) | |||||||
\(158\) | −12.8035 | + | 14.8342i | −1.01859 | + | 1.18014i | ||||
\(159\) | −13.3264 | + | 10.2059i | −1.05686 | + | 0.809381i | ||||
\(160\) | −12.3414 | + | 2.77327i | −0.975670 | + | 0.219246i | ||||
\(161\) | 12.4689 | − | 4.05140i | 0.982690 | − | 0.319295i | ||||
\(162\) | 4.14115 | + | 12.0354i | 0.325359 | + | 0.945590i | ||||
\(163\) | 4.48576 | + | 1.45751i | 0.351352 | + | 0.114161i | 0.479375 | − | 0.877610i | \(-0.340863\pi\) |
−0.128023 | + | 0.991771i | \(0.540863\pi\) | |||||||
\(164\) | 17.4907 | − | 2.58416i | 1.36579 | − | 0.201789i | ||||
\(165\) | 3.63392 | − | 5.40788i | 0.282901 | − | 0.421003i | ||||
\(166\) | −3.92611 | + | 9.34084i | −0.304725 | + | 0.724990i | ||||
\(167\) | 11.1648 | + | 8.11168i | 0.863956 | + | 0.627701i | 0.928958 | − | 0.370184i | \(-0.120705\pi\) |
−0.0650023 | + | 0.997885i | \(0.520705\pi\) | |||||||
\(168\) | −9.78609 | − | 11.2367i | −0.755013 | − | 0.866928i | ||||
\(169\) | −19.6473 | − | 14.2746i | −1.51133 | − | 1.09805i | ||||
\(170\) | 4.39555 | − | 1.08421i | 0.337123 | − | 0.0831552i | ||||
\(171\) | −5.98256 | + | 9.17463i | −0.457498 | + | 0.701602i | ||||
\(172\) | −2.52746 | − | 5.09057i | −0.192717 | − | 0.388152i | ||||
\(173\) | −13.1064 | + | 4.25851i | −0.996458 | + | 0.323769i | −0.761449 | − | 0.648225i | \(-0.775512\pi\) |
−0.235008 | + | 0.971993i | \(0.575512\pi\) | |||||||
\(174\) | −4.26693 | − | 3.49885i | −0.323475 | − | 0.265247i | ||||
\(175\) | −14.5671 | − | 4.36820i | −1.10117 | − | 0.330205i | ||||
\(176\) | 6.35513 | + | 2.21200i | 0.479036 | + | 0.166736i | ||||
\(177\) | 19.6038 | + | 5.82690i | 1.47351 | + | 0.437977i | ||||
\(178\) | −0.256633 | − | 0.423716i | −0.0192355 | − | 0.0317588i | ||||
\(179\) | −5.40793 | + | 3.92909i | −0.404207 | + | 0.293674i | −0.771253 | − | 0.636529i | \(-0.780369\pi\) |
0.367045 | + | 0.930203i | \(0.380369\pi\) | |||||||
\(180\) | −5.46747 | + | 12.2518i | −0.407521 | + | 0.913196i | ||||
\(181\) | 13.8444 | + | 10.0586i | 1.02905 | + | 0.747647i | 0.968118 | − | 0.250496i | \(-0.0805936\pi\) |
0.0609294 | + | 0.998142i | \(0.480594\pi\) | |||||||
\(182\) | −2.19684 | + | 26.1734i | −0.162841 | + | 1.94010i | ||||
\(183\) | −1.00877 | + | 0.356161i | −0.0745706 | + | 0.0263282i | ||||
\(184\) | 6.53152 | − | 10.2946i | 0.481510 | − | 0.758929i | ||||
\(185\) | −7.53235 | − | 22.3125i | −0.553789 | − | 1.64045i | ||||
\(186\) | 5.77107 | − | 14.7628i | 0.423155 | − | 1.08246i | ||||
\(187\) | −2.29056 | − | 0.744247i | −0.167502 | − | 0.0544247i | ||||
\(188\) | −5.80060 | + | 11.0976i | −0.423052 | + | 0.809375i | ||||
\(189\) | −15.7593 | + | 1.19570i | −1.14632 | + | 0.0869744i | ||||
\(190\) | −11.2094 | + | 2.76491i | −0.813212 | + | 0.200588i | ||||
\(191\) | −2.70046 | + | 8.31116i | −0.195398 | + | 0.601374i | 0.804573 | + | 0.593853i | \(0.202394\pi\) |
−0.999972 | + | 0.00752103i | \(0.997606\pi\) | |||||||
\(192\) | −13.6727 | − | 2.24894i | −0.986741 | − | 0.162304i | ||||
\(193\) | −1.41726 | −0.102016 | −0.0510082 | − | 0.998698i | \(-0.516243\pi\) | ||||
−0.0510082 | + | 0.998698i | \(0.516243\pi\) | |||||||
\(194\) | −0.859302 | − | 0.741672i | −0.0616943 | − | 0.0532490i | ||||
\(195\) | 22.2087 | − | 8.12732i | 1.59040 | − | 0.582009i | ||||
\(196\) | 4.03281 | − | 2.00229i | 0.288058 | − | 0.143021i | ||||
\(197\) | −2.75253 | − | 3.78854i | −0.196110 | − | 0.269922i | 0.699625 | − | 0.714510i | \(-0.253350\pi\) |
−0.895735 | + | 0.444588i | \(0.853350\pi\) | |||||||
\(198\) | 5.91046 | − | 4.00089i | 0.420038 | − | 0.284331i | ||||
\(199\) | − | 18.1468i | − | 1.28639i | −0.765702 | − | 0.643196i | \(-0.777608\pi\) | ||
0.765702 | − | 0.643196i | \(-0.222392\pi\) | |||||||
\(200\) | −13.0262 | + | 5.50629i | −0.921088 | + | 0.389353i | ||||
\(201\) | −2.97746 | − | 2.05046i | −0.210014 | − | 0.144628i | ||||
\(202\) | 13.6125 | − | 3.19332i | 0.957770 | − | 0.224681i | ||||
\(203\) | 5.54327 | − | 4.02742i | 0.389061 | − | 0.282670i | ||||
\(204\) | 4.90932 | + | 0.703014i | 0.343721 | + | 0.0492208i | ||||
\(205\) | 18.7290 | − | 6.32262i | 1.30809 | − | 0.441591i | ||||
\(206\) | 6.90987 | − | 8.00578i | 0.481434 | − | 0.557789i | ||||
\(207\) | −4.61154 | − | 12.0811i | −0.320524 | − | 0.839696i | ||||
\(208\) | 13.9426 | + | 20.0542i | 0.966743 | + | 1.39051i | ||||
\(209\) | 5.84128 | + | 1.89795i | 0.404050 | + | 0.131284i | ||||
\(210\) | −13.0020 | − | 10.4157i | −0.897222 | − | 0.718750i | ||||
\(211\) | 0.474177 | − | 0.154069i | 0.0326437 | − | 0.0106066i | −0.292650 | − | 0.956220i | \(-0.594537\pi\) |
0.325293 | + | 0.945613i | \(0.394537\pi\) | |||||||
\(212\) | −17.1773 | − | 8.97843i | −1.17974 | − | 0.616641i | ||||
\(213\) | 0.431267 | + | 0.563130i | 0.0295499 | + | 0.0385850i | ||||
\(214\) | −0.408475 | − | 1.74124i | −0.0279227 | − | 0.119029i | ||||
\(215\) | −3.79340 | − | 5.09780i | −0.258708 | − | 0.347667i | ||||
\(216\) | −10.5818 | + | 10.1993i | −0.720001 | + | 0.693973i | ||||
\(217\) | 15.9232 | + | 11.5689i | 1.08094 | + | 0.785349i | ||||
\(218\) | 17.4370 | + | 1.46356i | 1.18098 | + | 0.0991245i | ||||
\(219\) | −3.47647 | + | 1.22742i | −0.234918 | + | 0.0829411i | ||||
\(220\) | 7.43191 | + | 1.16936i | 0.501060 | + | 0.0788382i | ||||
\(221\) | −5.13839 | − | 7.07238i | −0.345645 | − | 0.475740i | ||||
\(222\) | 1.50816 | − | 25.7532i | 0.101221 | − | 1.72844i | ||||
\(223\) | −24.8327 | + | 8.06864i | −1.66292 | + | 0.540316i | −0.981482 | − | 0.191557i | \(-0.938646\pi\) |
−0.681441 | + | 0.731873i | \(0.738646\pi\) | |||||||
\(224\) | 6.99525 | − | 15.7196i | 0.467390 | − | 1.05031i | ||||
\(225\) | −3.57792 | + | 14.5670i | −0.238528 | + | 0.971136i | ||||
\(226\) | −1.78084 | + | 21.2171i | −0.118460 | + | 1.41134i | ||||
\(227\) | −4.02587 | − | 12.3904i | −0.267206 | − | 0.822377i | −0.991177 | − | 0.132546i | \(-0.957685\pi\) |
0.723970 | − | 0.689831i | \(-0.242315\pi\) | |||||||
\(228\) | −12.5195 | − | 1.79280i | −0.829127 | − | 0.118731i | ||||
\(229\) | −8.60561 | + | 6.25234i | −0.568675 | + | 0.413167i | −0.834624 | − | 0.550821i | \(-0.814315\pi\) |
0.265949 | + | 0.963987i | \(0.414315\pi\) | |||||||
\(230\) | 5.13794 | − | 12.6254i | 0.338786 | − | 0.832496i | ||||
\(231\) | 2.95054 | + | 8.35695i | 0.194131 | + | 0.549847i | ||||
\(232\) | 1.58386 | − | 6.17167i | 0.103986 | − | 0.405190i | ||||
\(233\) | −0.255169 | + | 0.351210i | −0.0167167 | + | 0.0230085i | −0.817294 | − | 0.576222i | \(-0.804527\pi\) |
0.800577 | + | 0.599230i | \(0.204527\pi\) | |||||||
\(234\) | 25.8920 | + | 0.861293i | 1.69261 | + | 0.0563045i | ||||
\(235\) | −4.17406 | + | 13.3634i | −0.272285 | + | 0.871735i | ||||
\(236\) | 3.45157 | + | 23.3617i | 0.224678 | + | 1.52072i | ||||
\(237\) | −19.0538 | + | 14.5921i | −1.23767 | + | 0.947859i | ||||
\(238\) | −2.38618 | + | 5.67711i | −0.154673 | + | 0.367992i | ||||
\(239\) | 8.48056 | + | 26.1005i | 0.548562 | + | 1.68830i | 0.712367 | + | 0.701807i | \(0.247623\pi\) |
−0.163805 | + | 0.986493i | \(0.552377\pi\) | |||||||
\(240\) | −15.4900 | + | 0.245737i | −0.999874 | + | 0.0158622i | ||||
\(241\) | 3.05825 | − | 9.41233i | 0.196999 | − | 0.606301i | −0.802948 | − | 0.596049i | \(-0.796736\pi\) |
0.999947 | − | 0.0102526i | \(-0.00326355\pi\) | |||||||
\(242\) | 8.74666 | + | 7.54934i | 0.562257 | + | 0.485290i | ||||
\(243\) | 1.96225 | + | 15.4645i | 0.125878 | + | 0.992046i | ||||
\(244\) | −0.864361 | − | 0.882522i | −0.0553350 | − | 0.0564977i | ||||
\(245\) | 4.03854 | − | 3.00518i | 0.258013 | − | 0.191994i | ||||
\(246\) | 21.6171 | + | 1.26594i | 1.37826 | + | 0.0807135i | ||||
\(247\) | 13.1037 | + | 18.0357i | 0.833769 | + | 1.14758i | ||||
\(248\) | 18.2666 | − | 1.15133i | 1.15993 | − | 0.0731095i | ||||
\(249\) | −7.03847 | + | 10.2205i | −0.446045 | + | 0.647697i | ||||
\(250\) | −13.2359 | + | 8.64937i | −0.837110 | + | 0.547034i | ||||
\(251\) | −3.02388 | −0.190865 | −0.0954327 | − | 0.995436i | \(-0.530423\pi\) | ||||
−0.0954327 | + | 0.995436i | \(0.530423\pi\) | |||||||
\(252\) | −8.93015 | − | 15.9153i | −0.562547 | − | 1.00257i | ||||
\(253\) | −5.86646 | + | 4.26224i | −0.368821 | + | 0.267964i | ||||
\(254\) | 0.0745338 | + | 0.123059i | 0.00467667 | + | 0.00772143i | ||||
\(255\) | 5.54105 | − | 0.203196i | 0.346994 | − | 0.0127247i | ||||
\(256\) | −4.30741 | − | 15.4093i | −0.269213 | − | 0.963081i | ||||
\(257\) | 17.5378i | 1.09398i | 0.837141 | + | 0.546988i | \(0.184226\pi\) | ||||
−0.837141 | + | 0.546988i | \(0.815774\pi\) | |||||||
\(258\) | −1.76031 | − | 6.73455i | −0.109592 | − | 0.419275i | ||||
\(259\) | 30.4653 | + | 9.89878i | 1.89302 | + | 0.615080i | ||||
\(260\) | 19.3290 | + | 19.2898i | 1.19874 | + | 1.19630i | ||||
\(261\) | −4.24320 | − | 5.26005i | −0.262648 | − | 0.325589i | ||||
\(262\) | 1.78685 | − | 4.25120i | 0.110392 | − | 0.262640i | ||||
\(263\) | 7.97131 | − | 24.5332i | 0.491532 | − | 1.51278i | −0.330761 | − | 0.943715i | \(-0.607305\pi\) |
0.822293 | − | 0.569065i | \(-0.192695\pi\) | |||||||
\(264\) | 7.06818 | + | 4.23813i | 0.435017 | + | 0.260839i | ||||
\(265\) | −20.6845 | − | 6.46079i | −1.27064 | − | 0.396883i | ||||
\(266\) | 6.08515 | − | 14.4775i | 0.373104 | − | 0.887675i | ||||
\(267\) | −0.201987 | − | 0.572097i | −0.0123614 | − | 0.0350118i | ||||
\(268\) | 0.695858 | − | 4.11606i | 0.0425063 | − | 0.251429i | ||||
\(269\) | 5.90843 | − | 8.13226i | 0.360244 | − | 0.495833i | −0.589973 | − | 0.807423i | \(-0.700862\pi\) |
0.950217 | + | 0.311590i | \(0.100862\pi\) | |||||||
\(270\) | −9.61302 | + | 13.3263i | −0.585030 | + | 0.811012i | ||||
\(271\) | −4.88812 | − | 6.72793i | −0.296932 | − | 0.408692i | 0.634318 | − | 0.773072i | \(-0.281281\pi\) |
−0.931250 | + | 0.364380i | \(0.881281\pi\) | |||||||
\(272\) | 1.65601 | + | 5.48196i | 0.100410 | + | 0.332392i | ||||
\(273\) | −9.16525 | + | 30.8352i | −0.554706 | + | 1.86623i | ||||
\(274\) | −0.178705 | + | 2.12911i | −0.0107959 | + | 0.128624i | ||||
\(275\) | 8.40917 | − | 0.191965i | 0.507092 | − | 0.0115759i | ||||
\(276\) | 10.4005 | − | 10.7140i | 0.626036 | − | 0.644907i | ||||
\(277\) | −1.97706 | − | 6.08476i | −0.118790 | − | 0.365598i | 0.873929 | − | 0.486054i | \(-0.161564\pi\) |
−0.992719 | + | 0.120456i | \(0.961564\pi\) | |||||||
\(278\) | −6.38882 | − | 10.5483i | −0.383176 | − | 0.632644i | ||||
\(279\) | 10.6036 | − | 16.2613i | 0.634822 | − | 0.973540i | ||||
\(280\) | 4.56890 | − | 18.6862i | 0.273044 | − | 1.11672i | ||||
\(281\) | −14.0046 | + | 19.2756i | −0.835441 | + | 1.14989i | 0.151444 | + | 0.988466i | \(0.451608\pi\) |
−0.986886 | + | 0.161421i | \(0.948392\pi\) | |||||||
\(282\) | −9.72445 | + | 11.8592i | −0.579083 | + | 0.706204i | ||||
\(283\) | 14.4234 | − | 19.8522i | 0.857385 | − | 1.18009i | −0.124802 | − | 0.992182i | \(-0.539830\pi\) |
0.982187 | − | 0.187907i | \(-0.0601704\pi\) | |||||||
\(284\) | −0.379398 | + | 0.725856i | −0.0225131 | + | 0.0430716i | ||||
\(285\) | −14.1306 | + | 0.518183i | −0.837023 | + | 0.0306945i | ||||
\(286\) | −3.31783 | − | 14.1432i | −0.196187 | − | 0.836306i | ||||
\(287\) | −8.30900 | + | 25.5725i | −0.490464 | + | 1.50949i | ||||
\(288\) | −15.8331 | − | 6.10838i | −0.932975 | − | 0.359940i | ||||
\(289\) | 4.61992 | + | 14.2186i | 0.271760 | + | 0.836391i | ||||
\(290\) | 0.514780 | − | 7.10512i | 0.0302289 | − | 0.417227i | ||||
\(291\) | −0.845279 | − | 1.10373i | −0.0495511 | − | 0.0647018i | ||||
\(292\) | −2.97879 | − | 3.04138i | −0.174320 | − | 0.177983i | ||||
\(293\) | 4.61787i | 0.269779i | 0.990861 | + | 0.134890i | \(0.0430680\pi\) | ||||
−0.990861 | + | 0.134890i | \(0.956932\pi\) | |||||||
\(294\) | 5.33520 | − | 1.39454i | 0.311155 | − | 0.0813310i | ||||
\(295\) | 8.44490 | + | 25.0157i | 0.491681 | + | 1.45647i | ||||
\(296\) | 27.6951 | − | 10.9689i | 1.60974 | − | 0.637555i | ||||
\(297\) | 8.08532 | − | 3.32244i | 0.469158 | − | 0.192788i | ||||
\(298\) | −10.8059 | + | 2.53492i | −0.625966 | + | 0.146844i | ||||
\(299\) | −26.3204 | −1.52215 | ||||||||
\(300\) | −16.9931 | + | 3.35189i | −0.981096 | + | 0.193522i | ||||
\(301\) | 8.64340 | 0.498197 | ||||||||
\(302\) | 30.3353 | − | 7.11631i | 1.74560 | − | 0.409498i | ||||
\(303\) | 17.1189 | − | 0.432218i | 0.983458 | − | 0.0248303i | ||||
\(304\) | −4.22309 | − | 13.9799i | −0.242211 | − | 0.801800i | ||||
\(305\) | −1.12653 | − | 0.798991i | −0.0645049 | − | 0.0457501i | ||||
\(306\) | 5.71112 | + | 2.06799i | 0.326483 | + | 0.118219i | ||||
\(307\) | 13.8516i | 0.790553i | 0.918562 | + | 0.395277i | \(0.129351\pi\) | ||||
−0.918562 | + | 0.395277i | \(0.870649\pi\) | |||||||
\(308\) | −7.31105 | + | 7.16060i | −0.416586 | + | 0.408013i | ||||
\(309\) | 10.2830 | − | 7.87514i | 0.584981 | − | 0.448001i | ||||
\(310\) | 19.8677 | − | 4.90059i | 1.12841 | − | 0.278335i | ||||
\(311\) | −0.348878 | − | 1.07373i | −0.0197830 | − | 0.0608859i | 0.940678 | − | 0.339302i | \(-0.110191\pi\) |
−0.960461 | + | 0.278416i | \(0.910191\pi\) | |||||||
\(312\) | 11.7137 | + | 27.5252i | 0.663160 | + | 1.55831i | ||||
\(313\) | −1.96099 | + | 6.03530i | −0.110842 | + | 0.341135i | −0.991057 | − | 0.133439i | \(-0.957398\pi\) |
0.880215 | + | 0.474574i | \(0.157398\pi\) | |||||||
\(314\) | 1.83396 | + | 7.81777i | 0.103496 | + | 0.441182i | ||||
\(315\) | −12.9910 | − | 15.7334i | −0.731962 | − | 0.886476i | ||||
\(316\) | −24.5596 | − | 12.8371i | −1.38159 | − | 0.722143i | ||||
\(317\) | −9.65590 | + | 13.2902i | −0.542330 | + | 0.746453i | −0.988947 | − | 0.148273i | \(-0.952629\pi\) |
0.446617 | + | 0.894725i | \(0.352629\pi\) | |||||||
\(318\) | −18.3562 | − | 15.0519i | −1.02936 | − | 0.844070i | ||||
\(319\) | −2.22753 | + | 3.06593i | −0.124718 | + | 0.171659i | ||||
\(320\) | −7.80446 | − | 16.0963i | −0.436283 | − | 0.899810i | ||||
\(321\) | −0.0552873 | − | 2.18977i | −0.00308584 | − | 0.122221i | ||||
\(322\) | 9.60545 | + | 15.8591i | 0.535291 | + | 0.883795i | ||||
\(323\) | 1.61520 | + | 4.97108i | 0.0898722 | + | 0.276598i | ||||
\(324\) | −15.2332 | + | 9.58899i | −0.846290 | + | 0.532722i | ||||
\(325\) | 25.1031 | + | 17.3772i | 1.39247 | + | 0.963915i | ||||
\(326\) | −0.557903 | + | 6.64692i | −0.0308994 | + | 0.368139i | ||||
\(327\) | 20.5427 | + | 6.10598i | 1.13601 | + | 0.337661i | ||||
\(328\) | 9.20726 | + | 23.2471i | 0.508386 | + | 1.28361i | ||||
\(329\) | −11.1935 | − | 15.4066i | −0.617119 | − | 0.849392i | ||||
\(330\) | 8.61948 | + | 3.25663i | 0.474487 | + | 0.179272i | ||||
\(331\) | 12.6376 | − | 17.3941i | 0.694624 | − | 0.956068i | −0.305368 | − | 0.952234i | \(-0.598780\pi\) |
0.999993 | − | 0.00383388i | \(-0.00122036\pi\) | |||||||
\(332\) | −14.1289 | − | 2.38862i | −0.775424 | − | 0.131092i | ||||
\(333\) | 8.23462 | − | 30.5032i | 0.451254 | − | 1.67156i | ||||
\(334\) | −7.56236 | + | 17.9920i | −0.413794 | + | 0.984481i | ||||
\(335\) | −0.0532612 | − | 4.66689i | −0.00290997 | − | 0.254980i | ||||
\(336\) | 12.3102 | − | 17.1032i | 0.671579 | − | 0.933054i | ||||
\(337\) | 8.85165 | − | 27.2426i | 0.482180 | − | 1.48400i | −0.353843 | − | 0.935305i | \(-0.615125\pi\) |
0.836024 | − | 0.548693i | \(-0.184875\pi\) | |||||||
\(338\) | 13.3079 | − | 31.6617i | 0.723856 | − | 1.72217i | ||||
\(339\) | −7.42969 | + | 24.9961i | −0.403525 | + | 1.35760i | ||||
\(340\) | 2.91250 | + | 5.70176i | 0.157952 | + | 0.309222i | ||||
\(341\) | −10.3532 | − | 3.36397i | −0.560658 | − | 0.182169i | ||||
\(342\) | −14.5643 | − | 5.27370i | −0.787545 | − | 0.285169i | ||||
\(343\) | − | 14.4437i | − | 0.779887i | ||||||
\(344\) | 6.19253 | − | 5.12410i | 0.333879 | − | 0.276273i | ||||
\(345\) | 9.31113 | − | 13.8565i | 0.501294 | − | 0.746009i | ||||
\(346\) | −10.0965 | − | 16.6698i | −0.542790 | − | 0.896177i | ||||
\(347\) | −2.02863 | + | 1.47389i | −0.108903 | + | 0.0791223i | −0.640904 | − | 0.767621i | \(-0.721440\pi\) |
0.532001 | + | 0.846744i | \(0.321440\pi\) | |||||||
\(348\) | 3.43917 | − | 7.00495i | 0.184359 | − | 0.375505i | ||||
\(349\) | 19.2761 | 1.03182 | 0.515912 | − | 0.856641i | \(-0.327453\pi\) | ||||
0.515912 | + | 0.856641i | \(0.327453\pi\) | |||||||
\(350\) | 1.30928 | − | 21.4674i | 0.0699838 | − | 1.14748i | ||||
\(351\) | 30.8310 | + | 7.49363i | 1.64564 | + | 0.399981i | ||||
\(352\) | −0.992931 | + | 9.46442i | −0.0529234 | + | 0.504455i | ||||
\(353\) | 18.7903 | + | 25.8626i | 1.00011 | + | 1.37653i | 0.925260 | + | 0.379333i | \(0.123847\pi\) |
0.0748460 | + | 0.997195i | \(0.476153\pi\) | |||||||
\(354\) | −1.69087 | + | 28.8732i | −0.0898689 | + | 1.53459i | ||||
\(355\) | −0.273011 | + | 0.874057i | −0.0144899 | + | 0.0463901i | ||||
\(356\) | 0.500497 | − | 0.490198i | 0.0265263 | − | 0.0259804i | ||||
\(357\) | −4.27779 | + | 6.21174i | −0.226405 | + | 0.328760i | ||||
\(358\) | −7.15641 | − | 6.17677i | −0.378228 | − | 0.326453i | ||||
\(359\) | 2.27154 | − | 6.99107i | 0.119887 | − | 0.368975i | −0.873048 | − | 0.487635i | \(-0.837860\pi\) |
0.992935 | + | 0.118660i | \(0.0378598\pi\) | |||||||
\(360\) | −18.6347 | − | 3.57060i | −0.982133 | − | 0.188187i | ||||
\(361\) | 1.75230 | + | 5.39303i | 0.0922264 | + | 0.283844i | ||||
\(362\) | −9.37739 | + | 22.3103i | −0.492864 | + | 1.17260i | ||||
\(363\) | 8.60393 | + | 11.2346i | 0.451589 | + | 0.589666i | ||||
\(364\) | −36.7461 | + | 5.42905i | −1.92602 | + | 0.284559i | ||||
\(365\) | −3.88229 | − | 2.75351i | −0.203208 | − | 0.144125i | ||||
\(366\) | −0.816199 | − | 1.27388i | −0.0426634 | − | 0.0665867i | ||||
\(367\) | −18.7370 | + | 25.7893i | −0.978063 | + | 1.34619i | −0.0401962 | + | 0.999192i | \(0.512798\pi\) |
−0.937867 | + | 0.346996i | \(0.887202\pi\) | |||||||
\(368\) | 16.2836 | + | 5.66778i | 0.848842 | + | 0.295453i | ||||
\(369\) | 25.6042 | + | 6.91210i | 1.33290 | + | 0.359830i | ||||
\(370\) | 28.2878 | − | 17.5775i | 1.47061 | − | 0.913811i | ||||
\(371\) | 23.8470 | − | 17.3258i | 1.23807 | − | 0.899512i | ||||
\(372\) | 22.1899 | + | 3.17760i | 1.15049 | + | 0.164751i | ||||
\(373\) | 1.92728 | + | 5.93156i | 0.0997908 | + | 0.307125i | 0.988473 | − | 0.151400i | \(-0.0483781\pi\) |
−0.888682 | + | 0.458525i | \(0.848378\pi\) | |||||||
\(374\) | 0.284881 | − | 3.39410i | 0.0147308 | − | 0.175505i | ||||
\(375\) | −18.0288 | + | 7.06829i | −0.931006 | + | 0.365005i | ||||
\(376\) | −17.1531 | − | 4.40208i | −0.884603 | − | 0.227020i | ||||
\(377\) | −13.0823 | + | 4.25070i | −0.673773 | + | 0.218922i | ||||
\(378\) | −6.73636 | − | 21.3117i | −0.346481 | − | 1.09616i | ||||
\(379\) | 12.0452 | + | 16.5789i | 0.618723 | + | 0.851599i | 0.997259 | − | 0.0739876i | \(-0.0235725\pi\) |
−0.378536 | + | 0.925586i | \(0.623573\pi\) | |||||||
\(380\) | −7.42733 | − | 14.5404i | −0.381014 | − | 0.745907i | ||||
\(381\) | 0.0586629 | + | 0.166154i | 0.00300539 | + | 0.00851231i | ||||
\(382\) | −12.3153 | − | 1.03367i | −0.630107 | − | 0.0528874i | ||||
\(383\) | −23.9236 | − | 17.3815i | −1.22244 | − | 0.888153i | −0.226138 | − | 0.974095i | \(-0.572610\pi\) |
−0.996300 | + | 0.0859420i | \(0.972610\pi\) | |||||||
\(384\) | −1.31970 | − | 19.5514i | −0.0673458 | − | 0.997730i | ||||
\(385\) | −6.61905 | + | 9.33248i | −0.337338 | + | 0.475627i | ||||
\(386\) | −0.457759 | − | 1.95133i | −0.0232993 | − | 0.0993201i | ||||
\(387\) | −0.430214 | − | 8.51436i | −0.0218690 | − | 0.432809i | ||||
\(388\) | 0.743616 | − | 1.42267i | 0.0377514 | − | 0.0722251i | ||||
\(389\) | 6.59111 | − | 2.14158i | 0.334182 | − | 0.108582i | −0.137119 | − | 0.990555i | \(-0.543784\pi\) |
0.471302 | + | 0.881972i | \(0.343784\pi\) | |||||||
\(390\) | 18.3632 | + | 27.9528i | 0.929855 | + | 1.41544i | ||||
\(391\) | −5.86905 | − | 1.90697i | −0.296810 | − | 0.0964396i | ||||
\(392\) | 4.05938 | + | 4.90580i | 0.205030 | + | 0.247781i | ||||
\(393\) | 3.20335 | − | 4.65155i | 0.161587 | − | 0.234640i | ||||
\(394\) | 4.32716 | − | 5.01345i | 0.217999 | − | 0.252574i | ||||
\(395\) | −29.5741 | − | 9.23744i | −1.48804 | − | 0.464786i | ||||
\(396\) | 7.41759 | + | 6.84549i | 0.372748 | + | 0.343999i | ||||
\(397\) | −23.5736 | + | 17.1272i | −1.18312 | + | 0.859591i | −0.992521 | − | 0.122076i | \(-0.961045\pi\) |
−0.190604 | + | 0.981667i | \(0.561045\pi\) | |||||||
\(398\) | 24.9852 | − | 5.86122i | 1.25239 | − | 0.293796i | ||||
\(399\) | 10.9090 | − | 15.8409i | 0.546135 | − | 0.793038i | ||||
\(400\) | −11.7886 | − | 16.1564i | −0.589428 | − | 0.807821i | ||||
\(401\) | − | 12.6018i | − | 0.629305i | −0.949207 | − | 0.314653i | \(-0.898112\pi\) | ||
0.949207 | − | 0.314653i | \(-0.101888\pi\) | |||||||
\(402\) | 1.86146 | − | 4.76175i | 0.0928413 | − | 0.237494i | ||||
\(403\) | −23.2253 | − | 31.9669i | −1.15693 | − | 1.59238i | ||||
\(404\) | 8.79337 | + | 17.7107i | 0.437486 | + | 0.881142i | ||||
\(405\) | −14.8519 | + | 13.5802i | −0.737996 | + | 0.674805i | ||||
\(406\) | 7.33552 | + | 6.33136i | 0.364056 | + | 0.314220i | ||||
\(407\) | −17.7172 | −0.878208 | ||||||||
\(408\) | 0.617723 | + | 6.98640i | 0.0305818 | + | 0.345878i | ||||
\(409\) | −2.71165 | + | 8.34559i | −0.134082 | + | 0.412663i | −0.995446 | − | 0.0953257i | \(-0.969611\pi\) |
0.861364 | + | 0.507988i | \(0.169611\pi\) | |||||||
\(410\) | 14.7545 | + | 23.7447i | 0.728672 | + | 1.17267i | ||||
\(411\) | −0.745558 | + | 2.50833i | −0.0367757 | + | 0.123727i | ||||
\(412\) | 13.2545 | + | 6.92798i | 0.653001 | + | 0.341317i | ||||
\(413\) | −34.1562 | − | 11.0980i | −1.68072 | − | 0.546099i | ||||
\(414\) | 15.1442 | − | 10.2514i | 0.744299 | − | 0.503829i | ||||
\(415\) | −16.0197 | + | 0.182826i | −0.786376 | + | 0.00897456i | ||||
\(416\) | −23.1081 | + | 25.6739i | −1.13297 | + | 1.25877i | ||||
\(417\) | −5.02841 | − | 14.2422i | −0.246242 | − | 0.697443i | ||||
\(418\) | −0.726492 | + | 8.65551i | −0.0355339 | + | 0.423355i | ||||
\(419\) | −8.34417 | − | 6.06239i | −0.407639 | − | 0.296167i | 0.365006 | − | 0.931005i | \(-0.381067\pi\) |
−0.772645 | + | 0.634838i | \(0.781067\pi\) | |||||||
\(420\) | 10.1412 | − | 21.2657i | 0.494839 | − | 1.03766i | ||||
\(421\) | −22.5238 | + | 16.3645i | −1.09774 | + | 0.797558i | −0.980690 | − | 0.195568i | \(-0.937345\pi\) |
−0.117054 | + | 0.993126i | \(0.537345\pi\) | |||||||
\(422\) | 0.365282 | + | 0.603101i | 0.0177817 | + | 0.0293585i | ||||
\(423\) | −14.6194 | + | 11.7932i | −0.710820 | + | 0.573407i | ||||
\(424\) | 6.81373 | − | 26.5503i | 0.330904 | − | 1.28940i | ||||
\(425\) | 4.33860 | + | 5.69364i | 0.210453 | + | 0.276182i | ||||
\(426\) | −0.636043 | + | 0.775669i | −0.0308164 | + | 0.0375813i | ||||
\(427\) | 1.78669 | − | 0.580531i | 0.0864640 | − | 0.0280938i | ||||
\(428\) | 2.26547 | − | 1.12481i | 0.109506 | − | 0.0543695i | ||||
\(429\) | −0.449070 | − | 17.7864i | −0.0216813 | − | 0.858735i | ||||
\(430\) | 5.79360 | − | 6.86942i | 0.279392 | − | 0.331273i | ||||
\(431\) | −16.0970 | − | 11.6952i | −0.775365 | − | 0.563336i | 0.128219 | − | 0.991746i | \(-0.459074\pi\) |
−0.903584 | + | 0.428410i | \(0.859074\pi\) | |||||||
\(432\) | −17.4605 | − | 11.2752i | −0.840071 | − | 0.542477i | ||||
\(433\) | −5.60652 | − | 4.07337i | −0.269432 | − | 0.195754i | 0.444863 | − | 0.895599i | \(-0.353252\pi\) |
−0.714295 | + | 0.699845i | \(0.753252\pi\) | |||||||
\(434\) | −10.7855 | + | 25.6603i | −0.517718 | + | 1.23173i | ||||
\(435\) | 2.39021 | − | 8.39097i | 0.114602 | − | 0.402316i | ||||
\(436\) | 3.61688 | + | 24.4806i | 0.173217 | + | 1.17241i | ||||
\(437\) | 14.9670 | + | 4.86307i | 0.715969 | + | 0.232632i | ||||
\(438\) | −2.81281 | − | 4.39008i | −0.134401 | − | 0.209766i | ||||
\(439\) | 17.0128 | − | 5.52780i | 0.811977 | − | 0.263827i | 0.126542 | − | 0.991961i | \(-0.459612\pi\) |
0.685435 | + | 0.728134i | \(0.259612\pi\) | |||||||
\(440\) | 0.790413 | + | 10.6102i | 0.0376814 | + | 0.505822i | ||||
\(441\) | 6.74518 | − | 0.340821i | 0.321199 | − | 0.0162296i | ||||
\(442\) | 8.07787 | − | 9.35902i | 0.384225 | − | 0.445163i | ||||
\(443\) | 25.0923 | 1.19217 | 0.596086 | − | 0.802920i | \(-0.296722\pi\) | ||||
0.596086 | + | 0.802920i | \(0.296722\pi\) | |||||||
\(444\) | 35.9450 | − | 6.24152i | 1.70588 | − | 0.296209i | ||||
\(445\) | 0.453125 | − | 0.638880i | 0.0214802 | − | 0.0302858i | ||||
\(446\) | −19.1299 | − | 31.5845i | −0.905827 | − | 1.49557i | ||||
\(447\) | −13.5894 | + | 0.343104i | −0.642755 | + | 0.0162282i | ||||
\(448\) | 23.9028 | + | 4.55404i | 1.12930 | + | 0.215158i | ||||
\(449\) | 19.5542i | 0.922821i | 0.887187 | + | 0.461410i | \(0.152656\pi\) | ||||
−0.887187 | + | 0.461410i | \(0.847344\pi\) | |||||||
\(450\) | −21.2120 | − | 0.221217i | −0.999946 | − | 0.0104283i | ||||
\(451\) | − | 14.8717i | − | 0.700283i | ||||||
\(452\) | −29.7877 | + | 4.40098i | −1.40110 | + | 0.207005i | ||||
\(453\) | 38.1495 | − | 0.963197i | 1.79242 | − | 0.0452549i | ||||
\(454\) | 15.7592 | − | 9.54492i | 0.739615 | − | 0.447965i | ||||
\(455\) | −39.3477 | + | 13.2832i | −1.84465 | + | 0.622725i | ||||
\(456\) | −1.57529 | − | 17.8164i | −0.0737698 | − | 0.834330i | ||||
\(457\) | −15.4555 | −0.722977 | −0.361489 | − | 0.932377i | \(-0.617731\pi\) | ||||
−0.361489 | + | 0.932377i | \(0.617731\pi\) | |||||||
\(458\) | −11.3880 | − | 9.82908i | −0.532125 | − | 0.459283i | ||||
\(459\) | 6.33192 | + | 3.90474i | 0.295549 | + | 0.182258i | ||||
\(460\) | 19.0426 | + | 2.99623i | 0.887868 | + | 0.139700i | ||||
\(461\) | −11.5831 | + | 3.76359i | −0.539481 | + | 0.175288i | −0.566068 | − | 0.824359i | \(-0.691536\pi\) |
0.0265872 | + | 0.999646i | \(0.491536\pi\) | |||||||
\(462\) | −10.5532 | + | 6.76161i | −0.490977 | + | 0.314579i | ||||
\(463\) | −5.50572 | − | 1.78892i | −0.255872 | − | 0.0831380i | 0.178272 | − | 0.983981i | \(-0.442949\pi\) |
−0.434145 | + | 0.900843i | \(0.642949\pi\) | |||||||
\(464\) | 9.00895 | + | 0.187339i | 0.418230 | + | 0.00869699i | ||||
\(465\) | 25.0453 | − | 0.918440i | 1.16145 | − | 0.0425916i | ||||
\(466\) | −0.565975 | − | 0.237889i | −0.0262183 | − | 0.0110200i | ||||
\(467\) | −14.7510 | − | 10.7172i | −0.682594 | − | 0.495933i | 0.191623 | − | 0.981469i | \(-0.438625\pi\) |
−0.874217 | + | 0.485535i | \(0.838625\pi\) | |||||||
\(468\) | 7.17698 | + | 35.9272i | 0.331756 | + | 1.66074i | ||||
\(469\) | 5.13605 | + | 3.73156i | 0.237161 | + | 0.172307i | ||||
\(470\) | −19.7474 | − | 1.43074i | −0.910882 | − | 0.0659953i | ||||
\(471\) | 0.248227 | + | 9.83157i | 0.0114377 | + | 0.453015i | ||||
\(472\) | −31.0504 | + | 12.2978i | −1.42921 | + | 0.566053i | ||||
\(473\) | −4.54660 | + | 1.47728i | −0.209053 | + | 0.0679254i | ||||
\(474\) | −26.2451 | − | 21.5208i | −1.20548 | − | 0.988483i | ||||
\(475\) | −11.0641 | − | 14.5197i | −0.507657 | − | 0.666208i | ||||
\(476\) | −8.58716 | − | 1.45174i | −0.393592 | − | 0.0665403i | ||||
\(477\) | −18.2541 | − | 22.6286i | −0.835798 | − | 1.03609i | ||||
\(478\) | −33.1970 | + | 20.1065i | −1.51839 | + | 0.919651i | ||||
\(479\) | 26.7381 | − | 19.4263i | 1.22169 | − | 0.887612i | 0.225454 | − | 0.974254i | \(-0.427614\pi\) |
0.996240 | + | 0.0866417i | \(0.0276135\pi\) | |||||||
\(480\) | −5.34144 | − | 21.2478i | −0.243802 | − | 0.969825i | ||||
\(481\) | −52.0267 | − | 37.7996i | −2.37221 | − | 1.72351i | ||||
\(482\) | 13.9470 | + | 1.17063i | 0.635269 | + | 0.0533207i | ||||
\(483\) | 7.56010 | + | 21.4128i | 0.343997 | + | 0.974318i | ||||
\(484\) | −7.56912 | + | 14.4811i | −0.344051 | + | 0.658231i | ||||
\(485\) | 0.535099 | − | 1.71314i | 0.0242976 | − | 0.0777898i | ||||
\(486\) | −20.6582 | + | 7.69655i | −0.937077 | + | 0.349122i | ||||
\(487\) | −10.5341 | − | 3.42275i | −0.477347 | − | 0.155100i | 0.0604543 | − | 0.998171i | \(-0.480745\pi\) |
−0.537802 | + | 0.843071i | \(0.680745\pi\) | |||||||
\(488\) | 0.935909 | − | 1.47513i | 0.0423666 | − | 0.0667759i | ||||
\(489\) | −2.32758 | + | 7.83081i | −0.105257 | + | 0.354122i | ||||
\(490\) | 5.44204 | + | 4.58977i | 0.245847 | + | 0.207345i | ||||
\(491\) | −5.36273 | + | 16.5048i | −0.242017 | + | 0.744851i | 0.754096 | + | 0.656764i | \(0.228075\pi\) |
−0.996113 | + | 0.0880867i | \(0.971925\pi\) | |||||||
\(492\) | 5.23910 | + | 30.1721i | 0.236197 | + | 1.36026i | ||||
\(493\) | −3.22513 | −0.145252 | ||||||||
\(494\) | −20.5999 | + | 23.8670i | −0.926831 | + | 1.07383i | ||||
\(495\) | 9.52260 | + | 6.05572i | 0.428009 | + | 0.272184i | ||||
\(496\) | 7.48510 | + | 24.7782i | 0.336091 | + | 1.11257i | ||||
\(497\) | −0.732131 | − | 1.00769i | −0.0328406 | − | 0.0452011i | ||||
\(498\) | −16.3453 | − | 6.38970i | −0.732450 | − | 0.286329i | ||||
\(499\) | 5.14989i | 0.230541i | 0.993334 | + | 0.115270i | \(0.0367734\pi\) | ||||
−0.993334 | + | 0.115270i | \(0.963227\pi\) | |||||||
\(500\) | −16.1838 | − | 15.4300i | −0.723762 | − | 0.690050i | ||||
\(501\) | −13.5573 | + | 19.6864i | −0.605695 | + | 0.879524i | ||||
\(502\) | −0.976680 | − | 4.16338i | −0.0435914 | − | 0.185821i | ||||
\(503\) | −17.6453 | + | 12.8201i | −0.786766 | + | 0.571619i | −0.907002 | − | 0.421126i | \(-0.861635\pi\) |
0.120236 | + | 0.992745i | \(0.461635\pi\) | |||||||
\(504\) | 19.0285 | − | 17.4358i | 0.847595 | − | 0.776654i | ||||
\(505\) | 13.1977 | + | 17.7359i | 0.587291 | + | 0.789237i | ||||
\(506\) | −7.76321 | − | 6.70050i | −0.345117 | − | 0.297874i | ||||
\(507\) | 23.8576 | − | 34.6434i | 1.05955 | − | 1.53857i | ||||
\(508\) | −0.145359 | + | 0.142368i | −0.00644926 | + | 0.00631655i | ||||
\(509\) | 26.8890 | + | 8.73676i | 1.19183 | + | 0.387250i | 0.836750 | − | 0.547585i | \(-0.184453\pi\) |
0.355083 | + | 0.934835i | \(0.384453\pi\) | |||||||
\(510\) | 2.06947 | + | 7.56349i | 0.0916376 | + | 0.334917i | ||||
\(511\) | 6.15735 | − | 2.00064i | 0.272385 | − | 0.0885033i | ||||
\(512\) | 19.8248 | − | 10.9076i | 0.876142 | − | 0.482054i | ||||
\(513\) | −16.1474 | − | 9.95771i | −0.712925 | − | 0.439644i | ||||
\(514\) | −24.1466 | + | 5.66451i | −1.06506 | + | 0.249851i | ||||
\(515\) | 15.9607 | + | 4.98531i | 0.703312 | + | 0.219679i | ||||
\(516\) | 8.70382 | − | 4.59884i | 0.383164 | − | 0.202453i | ||||
\(517\) | 8.52121 | + | 6.19102i | 0.374763 | + | 0.272281i | ||||
\(518\) | −3.78903 | + | 45.1429i | −0.166480 | + | 1.98347i | ||||
\(519\) | −7.94658 | − | 22.5075i | −0.348816 | − | 0.987968i | ||||
\(520\) | −20.3158 | + | 32.8433i | −0.890908 | + | 1.44028i | ||||
\(521\) | 14.3419 | + | 19.7399i | 0.628330 | + | 0.864822i | 0.997926 | − | 0.0643702i | \(-0.0205038\pi\) |
−0.369596 | + | 0.929193i | \(0.620504\pi\) | |||||||
\(522\) | 5.87172 | − | 7.54114i | 0.256998 | − | 0.330067i | ||||
\(523\) | 22.5818 | − | 7.33727i | 0.987432 | − | 0.320836i | 0.229600 | − | 0.973285i | \(-0.426258\pi\) |
0.757833 | + | 0.652449i | \(0.226258\pi\) | |||||||
\(524\) | 6.43034 | + | 1.08711i | 0.280911 | + | 0.0474905i | ||||
\(525\) | 6.92670 | − | 25.4139i | 0.302306 | − | 1.10915i | ||||
\(526\) | 36.3528 | + | 3.05124i | 1.58506 | + | 0.133040i | ||||
\(527\) | −2.86282 | − | 8.81085i | −0.124706 | − | 0.383807i | ||||
\(528\) | −3.55226 | + | 11.1006i | −0.154592 | + | 0.483091i | ||||
\(529\) | 3.57587 | − | 2.59802i | 0.155472 | − | 0.112957i | ||||
\(530\) | 2.21457 | − | 30.5660i | 0.0961947 | − | 1.32770i | ||||
\(531\) | −9.23226 | + | 34.1987i | −0.400646 | + | 1.48410i | ||||
\(532\) | 21.8986 | + | 3.70216i | 0.949426 | + | 0.160509i | ||||
\(533\) | 31.7288 | − | 43.6710i | 1.37433 | − | 1.89160i | ||||
\(534\) | 0.722444 | − | 0.462884i | 0.0312632 | − | 0.0200310i | ||||
\(535\) | 2.26869 | − | 1.68819i | 0.0980840 | − | 0.0729868i | ||||
\(536\) | 5.89190 | − | 0.371362i | 0.254491 | − | 0.0160404i | ||||
\(537\) | −7.03963 | − | 9.19205i | −0.303782 | − | 0.396666i | ||||
\(538\) | 13.1052 | + | 5.50831i | 0.565003 | + | 0.237480i | ||||
\(539\) | −1.17032 | − | 3.60187i | −0.0504092 | − | 0.155144i | ||||
\(540\) | −21.4530 | − | 8.93130i | −0.923191 | − | 0.384342i | ||||
\(541\) | −1.16792 | + | 3.59447i | −0.0502126 | + | 0.154539i | −0.973019 | − | 0.230726i | \(-0.925890\pi\) |
0.922806 | + | 0.385265i | \(0.125890\pi\) | |||||||
\(542\) | 7.68444 | − | 8.90319i | 0.330075 | − | 0.382425i | ||||
\(543\) | −16.8111 | + | 24.4113i | −0.721435 | + | 1.04759i | ||||
\(544\) | −7.01288 | + | 4.05067i | −0.300675 | + | 0.173671i | ||||
\(545\) | 8.84937 | + | 26.2138i | 0.379065 | + | 1.12288i | ||||
\(546\) | −45.4153 | − | 2.65961i | −1.94360 | − | 0.113821i | ||||
\(547\) | 19.7513 | + | 27.1853i | 0.844503 | + | 1.16236i | 0.985047 | + | 0.172284i | \(0.0551148\pi\) |
−0.140544 | + | 0.990074i | \(0.544885\pi\) | |||||||
\(548\) | −2.98915 | + | 0.441632i | −0.127690 | + | 0.0188656i | ||||
\(549\) | −0.660793 | − | 1.73112i | −0.0282020 | − | 0.0738824i | ||||
\(550\) | 2.98038 | + | 11.5160i | 0.127084 | + | 0.491046i | ||||
\(551\) | 8.22458 | 0.350379 | ||||||||
\(552\) | 18.1107 | + | 10.8593i | 0.770841 | + | 0.462201i | ||||
\(553\) | 34.0957 | − | 24.7720i | 1.44990 | − | 1.05341i | ||||
\(554\) | 7.73915 | − | 4.68740i | 0.328805 | − | 0.199148i | ||||
\(555\) | 38.3048 | − | 14.0177i | 1.62595 | − | 0.595017i | ||||
\(556\) | 12.4597 | − | 12.2033i | 0.528411 | − | 0.517537i | ||||
\(557\) | − | 42.7946i | − | 1.81327i | −0.421920 | − | 0.906633i | \(-0.638644\pi\) | ||
0.421920 | − | 0.906633i | \(-0.361356\pi\) | |||||||
\(558\) | 25.8140 | + | 9.34722i | 1.09280 | + | 0.395699i | ||||
\(559\) | −16.5029 | − | 5.36212i | −0.697998 | − | 0.226793i | ||||
\(560\) | 27.2036 | + | 0.255169i | 1.14956 | + | 0.0107829i | ||||
\(561\) | 1.18853 | − | 3.99863i | 0.0501796 | − | 0.168822i | ||||
\(562\) | −31.0627 | − | 13.0562i | −1.31030 | − | 0.550741i | ||||
\(563\) | −11.2765 | + | 34.7054i | −0.475246 | + | 1.46266i | 0.370380 | + | 0.928880i | \(0.379227\pi\) |
−0.845626 | + | 0.533776i | \(0.820773\pi\) | |||||||
\(564\) | −19.4690 | − | 9.55859i | −0.819795 | − | 0.402489i | ||||
\(565\) | −31.8967 | + | 10.7678i | −1.34190 | + | 0.453005i | ||||
\(566\) | 31.9918 | + | 13.4467i | 1.34472 | + | 0.565206i | ||||
\(567\) | −2.75930 | − | 27.2349i | −0.115880 | − | 1.14376i | ||||
\(568\) | −1.12193 | − | 0.287925i | −0.0470750 | − | 0.0120811i | ||||
\(569\) | 25.5787 | − | 35.2061i | 1.07232 | − | 1.47592i | 0.204608 | − | 0.978844i | \(-0.434408\pi\) |
0.867709 | − | 0.497073i | \(-0.165592\pi\) | |||||||
\(570\) | −5.27748 | − | 19.2881i | −0.221049 | − | 0.807890i | ||||
\(571\) | 11.6501 | + | 16.0349i | 0.487539 | + | 0.671040i | 0.979932 | − | 0.199333i | \(-0.0638775\pi\) |
−0.492392 | + | 0.870373i | \(0.663877\pi\) | |||||||
\(572\) | 18.4013 | − | 9.13621i | 0.769395 | − | 0.382004i | ||||
\(573\) | −14.5088 | − | 4.31250i | −0.606115 | − | 0.180157i | ||||
\(574\) | −37.8928 | − | 3.18050i | −1.58161 | − | 0.132751i | ||||
\(575\) | 21.5466 | − | 0.491868i | 0.898557 | − | 0.0205123i | ||||
\(576\) | 3.29632 | − | 23.7726i | 0.137347 | − | 0.990523i | ||||
\(577\) | −8.83017 | − | 27.1765i | −0.367605 | − | 1.13137i | −0.948334 | − | 0.317274i | \(-0.897232\pi\) |
0.580729 | − | 0.814097i | \(-0.302768\pi\) | |||||||
\(578\) | −18.0846 | + | 10.9533i | −0.752218 | + | 0.455599i | ||||
\(579\) | −0.0619579 | − | 2.45398i | −0.00257488 | − | 0.101984i | ||||
\(580\) | 9.94885 | − | 1.58611i | 0.413104 | − | 0.0658596i | ||||
\(581\) | 12.8090 | − | 17.6301i | 0.531409 | − | 0.731421i | ||||
\(582\) | 1.24664 | − | 1.52030i | 0.0516748 | − | 0.0630186i | ||||
\(583\) | −9.58274 | + | 13.1895i | −0.396877 | + | 0.546254i | ||||
\(584\) | 3.22536 | − | 5.08364i | 0.133466 | − | 0.210362i | ||||
\(585\) | 15.0433 | + | 38.0991i | 0.621965 | + | 1.57520i | ||||
\(586\) | −6.35805 | + | 1.49152i | −0.262649 | + | 0.0616143i | ||||
\(587\) | 8.49989 | − | 26.1600i | 0.350828 | − | 1.07974i | −0.607561 | − | 0.794273i | \(-0.707852\pi\) |
0.958389 | − | 0.285465i | \(-0.0921480\pi\) | |||||||
\(588\) | 3.64326 | + | 6.89528i | 0.150246 | + | 0.284356i | ||||
\(589\) | 7.30065 | + | 22.4691i | 0.300818 | + | 0.925822i | ||||
\(590\) | −31.7149 | + | 19.7071i | −1.30568 | + | 0.811327i | ||||
\(591\) | 6.43952 | − | 4.93163i | 0.264886 | − | 0.202860i | ||||
\(592\) | 24.0476 | + | 34.5887i | 0.988351 | + | 1.42159i | ||||
\(593\) | − | 41.8987i | − | 1.72057i | −0.509810 | − | 0.860287i | \(-0.670284\pi\) | ||
0.509810 | − | 0.860287i | \(-0.329716\pi\) | |||||||
\(594\) | 7.18593 | + | 10.0590i | 0.294842 | + | 0.412728i | ||||
\(595\) | −9.73634 | + | 0.111116i | −0.399151 | + | 0.00455533i | ||||
\(596\) | −6.98035 | − | 14.0591i | −0.285926 | − | 0.575885i | ||||
\(597\) | 31.4211 | − | 0.793319i | 1.28598 | − | 0.0324684i | ||||
\(598\) | −8.50120 | − | 36.2389i | −0.347640 | − | 1.48192i | ||||
\(599\) | −12.8584 | −0.525378 | −0.262689 | − | 0.964881i | \(-0.584609\pi\) | ||||
−0.262689 | + | 0.964881i | \(0.584609\pi\) | |||||||
\(600\) | −10.1036 | − | 22.3141i | −0.412477 | − | 0.910968i | ||||
\(601\) | 0.0506283 | 0.00206517 | 0.00103259 | − | 0.999999i | \(-0.499671\pi\) | ||||
0.00103259 | + | 0.999999i | \(0.499671\pi\) | |||||||
\(602\) | 2.79173 | + | 11.9006i | 0.113782 | + | 0.485030i | ||||
\(603\) | 3.42021 | − | 5.24510i | 0.139282 | − | 0.213597i | ||||
\(604\) | 19.5960 | + | 39.4683i | 0.797349 | + | 1.60594i | ||||
\(605\) | −5.44666 | + | 17.4378i | −0.221438 | + | 0.708946i | ||||
\(606\) | 6.12433 | + | 23.4304i | 0.248784 | + | 0.951794i | ||||
\(607\) | − | 7.02033i | − | 0.284946i | −0.989799 | − | 0.142473i | \(-0.954495\pi\) | ||
0.989799 | − | 0.142473i | \(-0.0455055\pi\) | |||||||
\(608\) | 17.8840 | − | 10.3298i | 0.725290 | − | 0.418931i | ||||
\(609\) | 7.21581 | + | 9.42210i | 0.292400 | + | 0.381803i | ||||
\(610\) | 0.736222 | − | 1.80911i | 0.0298088 | − | 0.0732488i | ||||
\(611\) | 11.8141 | + | 36.3600i | 0.477946 | + | 1.47097i | ||||
\(612\) | −1.00265 | + | 8.53122i | −0.0405297 | + | 0.344854i | ||||
\(613\) | 8.12803 | − | 25.0155i | 0.328288 | − | 1.01037i | −0.641647 | − | 0.767000i | \(-0.721748\pi\) |
0.969935 | − | 0.243366i | \(-0.0782516\pi\) | |||||||
\(614\) | −19.0714 | + | 4.47392i | −0.769659 | + | 0.180553i | ||||
\(615\) | 11.7664 | + | 32.1529i | 0.474467 | + | 1.29653i | ||||
\(616\) | −12.2204 | − | 7.75332i | −0.492373 | − | 0.312390i | ||||
\(617\) | 5.27723 | − | 7.26349i | 0.212453 | − | 0.292417i | −0.689469 | − | 0.724315i | \(-0.742156\pi\) |
0.901922 | + | 0.431898i | \(0.142156\pi\) | |||||||
\(618\) | 14.1641 | + | 11.6145i | 0.569763 | + | 0.467202i | ||||
\(619\) | −0.953984 | + | 1.31305i | −0.0383438 | + | 0.0527758i | −0.827758 | − | 0.561085i | \(-0.810384\pi\) |
0.789415 | + | 0.613860i | \(0.210384\pi\) | |||||||
\(620\) | 13.1644 | + | 25.7717i | 0.528694 | + | 1.03502i | ||||
\(621\) | 20.7169 | − | 8.51303i | 0.831339 | − | 0.341616i | ||||
\(622\) | 1.36567 | − | 0.827152i | 0.0547585 | − | 0.0331658i | ||||
\(623\) | 0.329232 | + | 1.01327i | 0.0131904 | + | 0.0405958i | ||||
\(624\) | −34.1143 | + | 25.0183i | −1.36567 | + | 1.00153i | ||||
\(625\) | −20.8749 | − | 13.7564i | −0.834996 | − | 0.550256i | ||||
\(626\) | −8.94300 | − | 0.750622i | −0.357434 | − | 0.0300009i | ||||
\(627\) | −3.03093 | + | 10.1971i | −0.121044 | + | 0.407235i | ||||
\(628\) | −10.1714 | + | 5.05011i | −0.405885 | + | 0.201521i | ||||
\(629\) | −8.86249 | − | 12.1982i | −0.353371 | − | 0.486373i | ||||
\(630\) | 17.4663 | − | 22.9683i | 0.695875 | − | 0.915077i | ||||
\(631\) | 10.2745 | − | 14.1416i | 0.409020 | − | 0.562968i | −0.553959 | − | 0.832544i | \(-0.686884\pi\) |
0.962979 | + | 0.269576i | \(0.0868835\pi\) | |||||||
\(632\) | 9.74207 | − | 37.9608i | 0.387519 | − | 1.51000i | ||||
\(633\) | 0.287500 | + | 0.814301i | 0.0114271 | + | 0.0323656i | ||||
\(634\) | −21.4172 | − | 9.00200i | −0.850586 | − | 0.357515i | ||||
\(635\) | −0.131601 | + | 0.185549i | −0.00522241 | + | 0.00736330i | ||||
\(636\) | 14.7952 | − | 30.1350i | 0.586668 | − | 1.19493i | ||||
\(637\) | 4.24794 | − | 13.0738i | 0.168309 | − | 0.518003i | ||||
\(638\) | −4.94075 | − | 2.07668i | −0.195606 | − | 0.0822165i | ||||
\(639\) | −0.956206 | + | 0.771357i | −0.0378269 | + | 0.0305144i | ||||
\(640\) | 19.6412 | − | 15.9444i | 0.776386 | − | 0.630257i | ||||
\(641\) | 16.7565 | + | 5.44451i | 0.661841 | + | 0.215045i | 0.620628 | − | 0.784105i | \(-0.286878\pi\) |
0.0412132 | + | 0.999150i | \(0.486878\pi\) | |||||||
\(642\) | 2.99710 | − | 0.783395i | 0.118286 | − | 0.0309181i | ||||
\(643\) | − | 0.955734i | − | 0.0376905i | −0.999822 | − | 0.0188452i | \(-0.994001\pi\) | ||
0.999822 | − | 0.0188452i | \(-0.00599898\pi\) | |||||||
\(644\) | −18.7330 | + | 18.3475i | −0.738182 | + | 0.722991i | ||||
\(645\) | 8.66100 | − | 6.79113i | 0.341026 | − | 0.267400i | ||||
\(646\) | −6.32267 | + | 3.82947i | −0.248762 | + | 0.150669i | ||||
\(647\) | 16.6821 | − | 12.1203i | 0.655843 | − | 0.476498i | −0.209414 | − | 0.977827i | \(-0.567156\pi\) |
0.865256 | + | 0.501329i | \(0.167156\pi\) | |||||||
\(648\) | −18.1226 | − | 17.8765i | −0.711925 | − | 0.702256i | ||||
\(649\) | 19.8637 | 0.779717 | ||||||||
\(650\) | −15.8176 | + | 40.1756i | −0.620416 | + | 1.57582i | ||||
\(651\) | −19.3354 | + | 28.0768i | −0.757816 | + | 1.10042i | ||||
\(652\) | −9.33192 | + | 1.37874i | −0.365466 | + | 0.0539958i | ||||
\(653\) | 22.0395 | + | 30.3348i | 0.862473 | + | 1.18709i | 0.980974 | + | 0.194138i | \(0.0621911\pi\) |
−0.118501 | + | 0.992954i | \(0.537809\pi\) | |||||||
\(654\) | −1.77186 | + | 30.2561i | −0.0692851 | + | 1.18311i | ||||
\(655\) | 7.29088 | − | 0.0832076i | 0.284878 | − | 0.00325119i | ||||
\(656\) | −29.0337 | + | 20.1855i | −1.13357 | + | 0.788110i | ||||
\(657\) | −2.27725 | − | 5.96584i | −0.0888439 | − | 0.232750i | ||||
\(658\) | 17.5969 | − | 20.3878i | 0.686000 | − | 0.794800i | ||||
\(659\) | 8.81637 | − | 27.1340i | 0.343437 | − | 1.05699i | −0.618978 | − | 0.785408i | \(-0.712453\pi\) |
0.962415 | − | 0.271583i | \(-0.0875470\pi\) | |||||||
\(660\) | −1.69984 | + | 12.9195i | −0.0661664 | + | 0.502890i | ||||
\(661\) | 7.02217 | + | 21.6120i | 0.273131 | + | 0.840611i | 0.989708 | + | 0.143103i | \(0.0457079\pi\) |
−0.716577 | + | 0.697508i | \(0.754292\pi\) | |||||||
\(662\) | 28.0307 | + | 11.7818i | 1.08944 | + | 0.457911i | ||||
\(663\) | 12.0212 | − | 9.20630i | 0.466864 | − | 0.357543i | ||||
\(664\) | −1.27475 | − | 20.2247i | −0.0494698 | − | 0.784870i | ||||
\(665\) | 24.8292 | − | 0.283365i | 0.962836 | − | 0.0109884i | ||||
\(666\) | 44.6575 | + | 1.48553i | 1.73044 | + | 0.0575629i | ||||
\(667\) | −5.70755 | + | 7.85576i | −0.220997 | + | 0.304176i | ||||
\(668\) | −27.2147 | − | 4.60089i | −1.05297 | − | 0.178014i | ||||
\(669\) | −15.0565 | − | 42.6451i | −0.582116 | − | 1.64876i | ||||
\(670\) | 6.40835 | − | 1.58069i | 0.247576 | − | 0.0610673i | ||||
\(671\) | −0.840613 | + | 0.610741i | −0.0324515 | + | 0.0235774i | ||||
\(672\) | 27.5243 | + | 11.4251i | 1.06177 | + | 0.440731i | ||||
\(673\) | 6.16364 | + | 18.9697i | 0.237591 | + | 0.731229i | 0.996767 | + | 0.0803443i | \(0.0256020\pi\) |
−0.759176 | + | 0.650885i | \(0.774398\pi\) | |||||||
\(674\) | 40.3676 | + | 3.38821i | 1.55490 | + | 0.130509i | ||||
\(675\) | −25.3792 | − | 5.55834i | −0.976847 | − | 0.213941i | ||||
\(676\) | 47.8913 | + | 8.09646i | 1.84197 | + | 0.311402i | ||||
\(677\) | −26.2349 | + | 8.52425i | −1.00829 | + | 0.327613i | −0.766174 | − | 0.642634i | \(-0.777842\pi\) |
−0.242117 | + | 0.970247i | \(0.577842\pi\) | |||||||
\(678\) | −36.8153 | − | 2.15598i | −1.41388 | − | 0.0827998i | ||||
\(679\) | 1.43497 | + | 1.97507i | 0.0550690 | + | 0.0757960i | ||||
\(680\) | −6.90969 | + | 5.85164i | −0.264975 | + | 0.224400i | ||||
\(681\) | 21.2779 | − | 7.51246i | 0.815371 | − | 0.287878i | ||||
\(682\) | 1.28765 | − | 15.3412i | 0.0493067 | − | 0.587446i | ||||
\(683\) | 10.0330 | + | 7.28938i | 0.383901 | + | 0.278920i | 0.762952 | − | 0.646456i | \(-0.223749\pi\) |
−0.379051 | + | 0.925376i | \(0.623749\pi\) | |||||||
\(684\) | 2.55691 | − | 21.7560i | 0.0977660 | − | 0.831860i | ||||
\(685\) | −3.20079 | + | 1.08054i | −0.122296 | + | 0.0412851i | ||||
\(686\) | 19.8866 | − | 4.66516i | 0.759275 | − | 0.178117i | ||||
\(687\) | −11.2021 | − | 14.6273i | −0.427388 | − | 0.558066i | ||||
\(688\) | 9.05517 | + | 6.87107i | 0.345225 | + | 0.261957i | ||||
\(689\) | −56.2796 | + | 18.2863i | −2.14408 | + | 0.696654i | ||||
\(690\) | 22.0855 | + | 8.34440i | 0.840782 | + | 0.317666i | ||||
\(691\) | −19.0094 | − | 6.17654i | −0.723153 | − | 0.234967i | −0.0757631 | − | 0.997126i | \(-0.524139\pi\) |
−0.647390 | + | 0.762159i | \(0.724139\pi\) | |||||||
\(692\) | 19.6906 | − | 19.2854i | 0.748524 | − | 0.733121i | ||||
\(693\) | −14.3411 | + | 5.47419i | −0.544772 | + | 0.207947i | ||||
\(694\) | −2.68452 | − | 2.31704i | −0.101903 | − | 0.0879537i | ||||
\(695\) | 11.2804 | − | 15.9047i | 0.427891 | − | 0.603301i | ||||
\(696\) | 10.7555 | + | 2.47265i | 0.407686 | + | 0.0937257i | ||||
\(697\) | 10.2391 | − | 7.43914i | 0.387834 | − | 0.281778i | ||||
\(698\) | 6.22596 | + | 26.5400i | 0.235656 | + | 1.00455i | ||||
\(699\) | −0.619275 | − | 0.426471i | −0.0234231 | − | 0.0161306i | ||||
\(700\) | 29.9800 | − | 5.13108i | 1.13314 | − | 0.193937i | ||||
\(701\) | 40.5082i | 1.52997i | 0.644046 | + | 0.764987i | \(0.277255\pi\) | ||||
−0.644046 | + | 0.764987i | \(0.722745\pi\) | |||||||
\(702\) | −0.359413 | + | 44.8696i | −0.0135652 | + | 1.69350i | ||||
\(703\) | 22.6008 | + | 31.1073i | 0.852404 | + | 1.17323i | ||||
\(704\) | −13.3517 | + | 1.68980i | −0.503210 | + | 0.0636869i | ||||
\(705\) | −23.3213 | − | 6.64317i | −0.878329 | − | 0.250196i | ||||
\(706\) | −29.5395 | + | 34.2245i | −1.11173 | + | 1.28806i | ||||
\(707\) | −30.0715 | −1.13096 | ||||||||
\(708\) | −40.2998 | + | 6.99769i | −1.51456 | + | 0.262989i | ||||
\(709\) | 10.9326 | − | 33.6469i | 0.410581 | − | 1.26364i | −0.505564 | − | 0.862789i | \(-0.668716\pi\) |
0.916145 | − | 0.400848i | \(-0.131284\pi\) | |||||||
\(710\) | −1.29161 | − | 0.0935801i | −0.0484734 | − | 0.00351200i | ||||
\(711\) | −26.0992 | − | 32.3536i | −0.978796 | − | 1.21336i | ||||
\(712\) | 0.836577 | + | 0.530774i | 0.0313521 | + | 0.0198916i | ||||
\(713\) | −26.5279 | − | 8.61942i | −0.993476 | − | 0.322800i | ||||
\(714\) | −9.93423 | − | 3.88349i | −0.371779 | − | 0.145336i | ||||
\(715\) | 18.4274 | − | 13.7123i | 0.689146 | − | 0.512811i | ||||
\(716\) | 6.19296 | − | 11.8482i | 0.231442 | − | 0.442790i | ||||
\(717\) | −44.8222 | + | 15.8251i | −1.67392 | + | 0.591000i | ||||
\(718\) | 10.3592 | + | 0.869493i | 0.386603 | + | 0.0324492i | ||||
\(719\) | 29.3222 | + | 21.3038i | 1.09353 | + | 0.794497i | 0.979992 | − | 0.199036i | \(-0.0637811\pi\) |
0.113540 | + | 0.993533i | \(0.463781\pi\) | |||||||
\(720\) | −1.10267 | − | 26.8101i | −0.0410939 | − | 0.999155i | ||||
\(721\) | −18.4009 | + | 13.3691i | −0.685286 | + | 0.497889i | ||||
\(722\) | −6.85934 | + | 4.15452i | −0.255278 | + | 0.154615i | ||||
\(723\) | 16.4311 | + | 4.88388i | 0.611081 | + | 0.181634i | ||||
\(724\) | −33.7464 | − | 5.70514i | −1.25418 | − | 0.212030i | ||||
\(725\) | 10.6301 | − | 3.72422i | 0.394793 | − | 0.138314i | ||||
\(726\) | −12.6893 | + | 15.4749i | −0.470944 | + | 0.574326i | ||||
\(727\) | 30.3883 | − | 9.87376i | 1.12704 | − | 0.366197i | 0.314589 | − | 0.949228i | \(-0.398133\pi\) |
0.812450 | + | 0.583030i | \(0.198133\pi\) | |||||||
\(728\) | −19.3435 | − | 48.8398i | −0.716918 | − | 1.81012i | ||||
\(729\) | −26.6909 | + | 4.07368i | −0.988553 | + | 0.150877i | ||||
\(730\) | 2.53719 | − | 6.23463i | 0.0939057 | − | 0.230754i | ||||
\(731\) | −3.29140 | − | 2.39134i | −0.121737 | − | 0.0884469i | ||||
\(732\) | 1.49030 | − | 1.53522i | 0.0550830 | − | 0.0567434i | ||||
\(733\) | 13.6374 | + | 9.90812i | 0.503707 | + | 0.365965i | 0.810431 | − | 0.585834i | \(-0.199233\pi\) |
−0.306724 | + | 0.951798i | \(0.599233\pi\) | |||||||
\(734\) | −41.5594 | − | 17.4681i | −1.53399 | − | 0.644760i | ||||
\(735\) | 5.38002 | + | 6.86135i | 0.198445 | + | 0.253085i | ||||
\(736\) | −2.54417 | + | 24.2505i | −0.0937792 | + | 0.893885i | ||||
\(737\) | −3.33944 | − | 1.08505i | −0.123010 | − | 0.0399683i | ||||
\(738\) | −1.24694 | + | 37.4854i | −0.0459007 | + | 1.37986i | ||||
\(739\) | −43.6990 | + | 14.1987i | −1.60750 | + | 0.522307i | −0.968946 | − | 0.247274i | \(-0.920465\pi\) |
−0.638550 | + | 0.769581i | \(0.720465\pi\) | |||||||
\(740\) | 33.3380 | + | 33.2703i | 1.22553 | + | 1.22304i | ||||
\(741\) | −30.6560 | + | 23.4775i | −1.12617 | + | 0.862468i | ||||
\(742\) | 31.5571 | + | 27.2373i | 1.15850 | + | 0.999913i | ||||
\(743\) | 8.90590 | 0.326726 | 0.163363 | − | 0.986566i | \(-0.447766\pi\) | ||||
0.163363 | + | 0.986566i | \(0.447766\pi\) | |||||||
\(744\) | 2.79208 | + | 31.5782i | 0.102363 | + | 1.15771i | ||||
\(745\) | −10.4766 | − | 14.0791i | −0.383834 | − | 0.515819i | ||||
\(746\) | −7.54430 | + | 4.56938i | −0.276216 | + | 0.167297i | ||||
\(747\) | −18.0045 | − | 11.7403i | −0.658749 | − | 0.429555i | ||||
\(748\) | 4.76514 | − | 0.704025i | 0.174231 | − | 0.0257417i | ||||
\(749\) | 3.84660i | 0.140552i | ||||||||
\(750\) | −15.5550 | − | 22.5398i | −0.567988 | − | 0.823037i | ||||
\(751\) | 23.1460i | 0.844609i | 0.906454 | + | 0.422305i | \(0.138779\pi\) | ||||
−0.906454 | + | 0.422305i | \(0.861221\pi\) | |||||||
\(752\) | 0.520676 | − | 25.0388i | 0.0189871 | − | 0.913072i | ||||
\(753\) | −0.132194 | − | 5.23584i | −0.00481743 | − | 0.190805i | ||||
\(754\) | −10.0780 | − | 16.6393i | −0.367017 | − | 0.605966i | ||||
\(755\) | 29.4111 | + | 39.5244i | 1.07038 | + | 1.43844i | ||||
\(756\) | 27.1670 | − | 16.1583i | 0.988054 | − | 0.587672i | ||||
\(757\) | 9.48600 | 0.344775 | 0.172387 | − | 0.985029i | \(-0.444852\pi\) | ||||
0.172387 | + | 0.985029i | \(0.444852\pi\) | |||||||
\(758\) | −18.9359 | + | 21.9391i | −0.687782 | + | 0.796865i | ||||
\(759\) | −7.63652 | − | 9.97145i | −0.277188 | − | 0.361941i | ||||
\(760\) | 17.6208 | − | 14.9226i | 0.639174 | − | 0.541300i | ||||
\(761\) | −10.5358 | + | 3.42328i | −0.381922 | + | 0.124094i | −0.493685 | − | 0.869641i | \(-0.664350\pi\) |
0.111763 | + | 0.993735i | \(0.464350\pi\) | |||||||
\(762\) | −0.209819 | + | 0.134435i | −0.00760094 | + | 0.00487007i | ||||
\(763\) | −35.7921 | − | 11.6296i | −1.29576 | − | 0.421019i | ||||
\(764\) | −2.55452 | − | 17.2900i | −0.0924192 | − | 0.625532i | ||||
\(765\) | 0.594072 | + | 9.58545i | 0.0214787 | + | 0.346563i | ||||
\(766\) | 16.2044 | − | 38.5529i | 0.585489 | − | 1.39297i | ||||
\(767\) | 58.3298 | + | 42.3791i | 2.10617 | + | 1.53022i | ||||
\(768\) | 26.4929 | − | 8.13192i | 0.955979 | − | 0.293435i | ||||
\(769\) | 12.2565 | + | 8.90484i | 0.441979 | + | 0.321117i | 0.786421 | − | 0.617691i | \(-0.211932\pi\) |
−0.344442 | + | 0.938808i | \(0.611932\pi\) | |||||||
\(770\) | −14.9872 | − | 6.09906i | −0.540101 | − | 0.219795i | ||||
\(771\) | −30.3666 | + | 0.766695i | −1.09363 | + | 0.0276118i | ||||
\(772\) | 2.53881 | − | 1.26052i | 0.0913738 | − | 0.0453670i | ||||
\(773\) | −45.3461 | + | 14.7338i | −1.63099 | + | 0.529940i | −0.974498 | − | 0.224396i | \(-0.927959\pi\) |
−0.656489 | + | 0.754336i | \(0.727959\pi\) | |||||||
\(774\) | 11.5839 | − | 3.34238i | 0.416375 | − | 0.120139i | ||||
\(775\) | 19.6103 | + | 25.7350i | 0.704423 | + | 0.924429i | ||||
\(776\) | 2.19896 | + | 0.564330i | 0.0789382 | + | 0.0202583i | ||||
\(777\) | −15.8079 | + | 53.1834i | −0.567104 | + | 1.90794i | ||||
\(778\) | 5.07746 | + | 8.38317i | 0.182036 | + | 0.300551i | ||||
\(779\) | −26.1113 | + | 18.9710i | −0.935536 | + | 0.679707i | ||||
\(780\) | −32.5553 | + | 34.3115i | −1.16567 | + | 1.22855i | ||||
\(781\) | 0.557344 | + | 0.404934i | 0.0199433 | + | 0.0144897i | ||||
\(782\) | 0.729945 | − | 8.69665i | 0.0261028 | − | 0.310991i | ||||
\(783\) | 8.92227 | − | 7.57705i | 0.318856 | − | 0.270782i | ||||
\(784\) | −5.44335 | + | 7.17362i | −0.194405 | + | 0.256201i | ||||
\(785\) | −10.1859 | + | 7.57958i | −0.363550 | + | 0.270527i | ||||
\(786\) | 7.43907 | + | 2.90808i | 0.265343 | + | 0.103728i | ||||
\(787\) | −26.1222 | − | 8.48763i | −0.931157 | − | 0.302551i | −0.196121 | − | 0.980580i | \(-0.562835\pi\) |
−0.735036 | + | 0.678028i | \(0.762835\pi\) | |||||||
\(788\) | 8.30032 | + | 4.33850i | 0.295687 | + | 0.154553i | ||||
\(789\) | 42.8276 | + | 12.7298i | 1.52470 | + | 0.453193i | ||||
\(790\) | 3.16632 | − | 43.7023i | 0.112653 | − | 1.55486i | ||||
\(791\) | 14.1507 | − | 43.5515i | 0.503142 | − | 1.54851i | ||||
\(792\) | −7.02931 | + | 12.4238i | −0.249776 | + | 0.441461i | ||||
\(793\) | −3.77148 | −0.133929 | ||||||||
\(794\) | −31.1954 | − | 26.9251i | −1.10708 | − | 0.955535i | ||||
\(795\) | 10.2826 | − | 36.0977i | 0.364686 | − | 1.28025i | ||||
\(796\) | 16.1399 | + | 32.5073i | 0.572063 | + | 1.15219i | ||||
\(797\) | −9.47591 | − | 13.0425i | −0.335654 | − | 0.461988i | 0.607512 | − | 0.794311i | \(-0.292168\pi\) |
−0.943166 | + | 0.332323i | \(0.892168\pi\) | |||||||
\(798\) | 25.3339 | + | 9.90352i | 0.896809 | + | 0.350581i | ||||
\(799\) | 8.96368i | 0.317112i | ||||||||
\(800\) | 18.4372 | − | 21.4493i | 0.651852 | − | 0.758346i | ||||
\(801\) | 0.981755 | − | 0.374750i | 0.0346886 | − | 0.0132412i | ||||
\(802\) | 17.3507 | − | 4.07026i | 0.612673 | − | 0.143726i | ||||
\(803\) | −2.89695 | + | 2.10476i | −0.102231 | + | 0.0742752i | ||||
\(804\) | 7.15738 | + | 1.02494i | 0.252421 | + | 0.0361467i | ||||
\(805\) | −16.9599 | + | 23.9124i | −0.597757 | + | 0.842802i | ||||
\(806\) | 36.5116 | − | 42.3024i | 1.28607 | − | 1.49004i | ||||
\(807\) | 14.3393 | + | 9.87493i | 0.504767 | + | 0.347614i | ||||
\(808\) | −21.5446 | + | 17.8274i | −0.757937 | + | 0.627166i | ||||
\(809\) | 18.7367 | + | 6.08793i | 0.658748 | + | 0.214040i | 0.619267 | − | 0.785180i | \(-0.287430\pi\) |
0.0394807 | + | 0.999220i | \(0.487430\pi\) | |||||||
\(810\) | −23.4947 | − | 16.0623i | −0.825520 | − | 0.564373i | ||||
\(811\) | 19.0612 | − | 6.19337i | 0.669331 | − | 0.217479i | 0.0454124 | − | 0.998968i | \(-0.485540\pi\) |
0.623918 | + | 0.781490i | \(0.285540\pi\) | |||||||
\(812\) | −6.34796 | + | 12.1448i | −0.222770 | + | 0.426198i | ||||
\(813\) | 11.4357 | − | 8.75791i | 0.401068 | − | 0.307153i | ||||
\(814\) | −5.72246 | − | 24.3937i | −0.200572 | − | 0.854998i | ||||
\(815\) | −9.99263 | + | 3.37335i | −0.350026 | + | 0.118163i | ||||
\(816\) | −9.41960 | + | 3.10703i | −0.329752 | + | 0.108768i | ||||
\(817\) | 8.39359 | + | 6.09830i | 0.293655 | + | 0.213353i | ||||
\(818\) | −12.3663 | − | 1.03796i | −0.432379 | − | 0.0362913i | ||||
\(819\) | −53.7918 | − | 14.5216i | −1.87964 | − | 0.507426i | ||||
\(820\) | −27.9270 | + | 27.9838i | −0.975252 | + | 0.977236i | ||||
\(821\) | −1.96028 | − | 2.69810i | −0.0684144 | − | 0.0941643i | 0.773439 | − | 0.633871i | \(-0.218535\pi\) |
−0.841853 | + | 0.539707i | \(0.818535\pi\) | |||||||
\(822\) | −3.69436 | − | 0.216349i | −0.128856 | − | 0.00754604i | ||||
\(823\) | 25.0546 | − | 8.14074i | 0.873350 | − | 0.283768i | 0.162156 | − | 0.986765i | \(-0.448155\pi\) |
0.711193 | + | 0.702997i | \(0.248155\pi\) | |||||||
\(824\) | −5.25765 | + | 20.4869i | −0.183159 | + | 0.713695i | ||||
\(825\) | 0.700009 | + | 14.5521i | 0.0243712 | + | 0.506638i | ||||
\(826\) | 4.24808 | − | 50.6121i | 0.147809 | − | 1.76102i | ||||
\(827\) | −1.72813 | − | 5.31864i | −0.0600931 | − | 0.184947i | 0.916504 | − | 0.400026i | \(-0.130999\pi\) |
−0.976597 | + | 0.215079i | \(0.930999\pi\) | |||||||
\(828\) | 19.0059 | + | 17.5401i | 0.660502 | + | 0.609559i | ||||
\(829\) | −14.8427 | + | 10.7838i | −0.515508 | + | 0.374538i | −0.814909 | − | 0.579589i | \(-0.803213\pi\) |
0.299401 | + | 0.954127i | \(0.403213\pi\) | |||||||
\(830\) | −5.42591 | − | 21.9974i | −0.188336 | − | 0.763543i | ||||
\(831\) | 10.4493 | − | 3.68928i | 0.362483 | − | 0.127980i | ||||
\(832\) | −42.8125 | − | 23.5236i | −1.48426 | − | 0.815535i | ||||
\(833\) | 1.89445 | − | 2.60749i | 0.0656388 | − | 0.0903441i | ||||
\(834\) | 17.9851 | − | 11.5234i | 0.622771 | − | 0.399022i | ||||
\(835\) | −30.8567 | + | 0.352153i | −1.06784 | + | 0.0121868i | ||||
\(836\) | −12.1519 | + | 1.79538i | −0.420281 | + | 0.0620944i | ||||
\(837\) | 28.6200 | + | 17.6493i | 0.989253 | + | 0.610048i | ||||
\(838\) | 5.65185 | − | 13.4466i | 0.195240 | − | 0.464506i | ||||
\(839\) | −4.63186 | − | 14.2554i | −0.159910 | − | 0.492151i | 0.838716 | − | 0.544570i | \(-0.183307\pi\) |
−0.998625 | + | 0.0524184i | \(0.983307\pi\) | |||||||
\(840\) | 32.5549 | + | 7.09414i | 1.12325 | + | 0.244771i | ||||
\(841\) | 7.39330 | − | 22.7542i | 0.254941 | − | 0.784629i | ||||
\(842\) | −29.8062 | − | 25.7260i | −1.02719 | − | 0.886578i | ||||
\(843\) | −33.9879 | − | 23.4062i | −1.17061 | − | 0.806152i | ||||
\(844\) | −0.712389 | + | 0.697729i | −0.0245214 | + | 0.0240168i | ||||
\(845\) | 54.3004 | − | 0.619706i | 1.86799 | − | 0.0213185i | ||||
\(846\) | −20.9593 | − | 16.3194i | −0.720595 | − | 0.561074i | ||||
\(847\) | −14.6063 | − | 20.1038i | −0.501877 | − | 0.690775i | ||||
\(848\) | 38.7562 | + | 0.805925i | 1.33089 | + | 0.0276756i | ||||
\(849\) | 35.0046 | + | 24.1063i | 1.20135 | + | 0.827326i | ||||
\(850\) | −6.43788 | + | 7.81253i | −0.220818 | + | 0.267967i | ||||
\(851\) | −45.3964 | −1.55617 | ||||||||
\(852\) | −1.27340 | − | 0.625195i | −0.0436261 | − | 0.0214188i | ||||
\(853\) | 37.3744 | − | 27.1541i | 1.27968 | − | 0.929740i | 0.280134 | − | 0.959961i | \(-0.409621\pi\) |
0.999543 | + | 0.0302214i | \(0.00962125\pi\) | |||||||
\(854\) | 1.37638 | + | 2.27247i | 0.0470987 | + | 0.0777624i | ||||
\(855\) | −1.51498 | − | 24.4444i | −0.0518111 | − | 0.835981i | ||||
\(856\) | 2.28040 | + | 2.75588i | 0.0779423 | + | 0.0941942i | ||||
\(857\) | 3.67387i | 0.125497i | 0.998029 | + | 0.0627485i | \(0.0199866\pi\) | ||||
−0.998029 | + | 0.0627485i | \(0.980013\pi\) | |||||||
\(858\) | 24.3439 | − | 6.36311i | 0.831087 | − | 0.217233i | ||||
\(859\) | 11.5076 | + | 3.73905i | 0.392635 | + | 0.127575i | 0.498679 | − | 0.866787i | \(-0.333819\pi\) |
−0.106045 | + | 0.994361i | \(0.533819\pi\) | |||||||
\(860\) | 11.3293 | + | 5.75809i | 0.386327 | + | 0.196349i | ||||
\(861\) | −44.6419 | − | 13.2691i | −1.52139 | − | 0.452209i | ||||
\(862\) | 10.9032 | − | 25.9403i | 0.371363 | − | 0.883532i | ||||
\(863\) | −1.67985 | + | 5.17004i | −0.0571827 | + | 0.175990i | −0.975568 | − | 0.219696i | \(-0.929493\pi\) |
0.918386 | + | 0.395687i | \(0.129493\pi\) | |||||||
\(864\) | 9.88449 | − | 27.6821i | 0.336277 | − | 0.941763i | ||||
\(865\) | 17.8269 | − | 25.1348i | 0.606131 | − | 0.854610i | ||||
\(866\) | 3.79752 | − | 9.03491i | 0.129045 | − | 0.307019i | ||||
\(867\) | −24.4176 | + | 8.62097i | −0.829265 | + | 0.292784i | ||||
\(868\) | −38.8136 | − | 6.56180i | −1.31742 | − | 0.222722i | ||||
\(869\) | −13.7011 | + | 18.8580i | −0.464779 | + | 0.639713i | ||||
\(870\) | 12.3250 | + | 0.580729i | 0.417857 | + | 0.0196886i | ||||
\(871\) | −7.49134 | − | 10.3109i | −0.253834 | − | 0.349373i | ||||
\(872\) | −32.5375 | + | 12.8868i | −1.10186 | + | 0.436403i | ||||
\(873\) | 1.87415 | − | 1.51185i | 0.0634305 | − | 0.0511684i | ||||
\(874\) | −1.86147 | + | 22.1778i | −0.0629653 | + | 0.750176i | ||||
\(875\) | 31.9630 | − | 11.6093i | 1.08055 | − | 0.392466i | ||||
\(876\) | 5.13592 | − | 5.29073i | 0.173527 | − | 0.178757i | ||||
\(877\) | 6.08736 | + | 18.7350i | 0.205555 | + | 0.632635i | 0.999690 | + | 0.0248928i | \(0.00792443\pi\) |
−0.794135 | + | 0.607742i | \(0.792076\pi\) | |||||||
\(878\) | 13.1058 | + | 21.6384i | 0.442300 | + | 0.730262i | ||||
\(879\) | −7.99584 | + | 0.201879i | −0.269693 | + | 0.00680920i | ||||
\(880\) | −14.3532 | + | 4.51526i | −0.483848 | + | 0.152209i | ||||
\(881\) | −5.98841 | + | 8.24234i | −0.201755 | + | 0.277692i | −0.897891 | − | 0.440218i | \(-0.854901\pi\) |
0.696136 | + | 0.717910i | \(0.254901\pi\) | |||||||
\(882\) | 2.64788 | + | 9.17693i | 0.0891586 | + | 0.309003i | ||||
\(883\) | 0.272434 | − | 0.374974i | 0.00916814 | − | 0.0126189i | −0.804408 | − | 0.594077i | \(-0.797518\pi\) |
0.813576 | + | 0.581458i | \(0.197518\pi\) | |||||||
\(884\) | 15.4949 | + | 8.09904i | 0.521150 | + | 0.272400i | ||||
\(885\) | −42.9455 | + | 15.7159i | −1.44360 | + | 0.528286i | ||||
\(886\) | 8.10455 | + | 34.5480i | 0.272278 | + | 1.16066i | ||||
\(887\) | −9.74667 | + | 29.9972i | −0.327261 | + | 1.00721i | 0.643149 | + | 0.765741i | \(0.277628\pi\) |
−0.970410 | + | 0.241464i | \(0.922372\pi\) | |||||||
\(888\) | 20.2034 | + | 47.4745i | 0.677982 | + | 1.59314i | ||||
\(889\) | −0.0956184 | − | 0.294283i | −0.00320694 | − | 0.00986994i | ||||
\(890\) | 1.02599 | + | 0.417527i | 0.0343912 | + | 0.0139956i | ||||
\(891\) | 6.10627 | + | 13.8545i | 0.204568 | + | 0.464142i | ||||
\(892\) | 37.3080 | − | 36.5402i | 1.24916 | − | 1.22346i | ||||
\(893\) | − | 22.8588i | − | 0.764941i | ||||||
\(894\) | −4.86162 | − | 18.5995i | −0.162597 | − | 0.622061i | ||||
\(895\) | 4.45639 | − | 14.2674i | 0.148961 | − | 0.476905i | ||||
\(896\) | 1.45017 | + | 34.3811i | 0.0484467 | + | 1.14859i | ||||
\(897\) | −1.15064 | − | 45.5737i | −0.0384189 | − | 1.52166i | ||||
\(898\) | −26.9230 | + | 6.31580i | −0.898431 | + | 0.210761i | ||||
\(899\) | −14.5774 | −0.486185 | ||||||||
\(900\) | −6.54669 | − | 29.2770i | −0.218223 | − | 0.975899i | ||||
\(901\) | −13.8744 | −0.462223 | ||||||||
\(902\) | 20.4759 | − | 4.80341i | 0.681774 | − | 0.159936i | ||||
\(903\) | 0.377862 | + | 14.9660i | 0.0125745 | + | 0.498039i | ||||
\(904\) | −15.6805 | − | 39.5913i | −0.521527 | − | 1.31679i | ||||
\(905\) | −38.2625 | + | 0.436673i | −1.27189 | + | 0.0145155i | ||||
\(906\) | 13.6480 | + | 52.2145i | 0.453426 | + | 1.73471i | ||||
\(907\) | 18.4041i | 0.611097i | 0.952177 | + | 0.305548i | \(0.0988398\pi\) | ||||
−0.952177 | + | 0.305548i | \(0.901160\pi\) | |||||||
\(908\) | 18.2318 | + | 18.6149i | 0.605045 | + | 0.617757i | ||||
\(909\) | 1.49677 | + | 29.6225i | 0.0496448 | + | 0.982518i | ||||
\(910\) | −30.9976 | − | 49.8851i | −1.02756 | − | 1.65367i | ||||
\(911\) | −7.25851 | − | 22.3394i | −0.240485 | − | 0.740137i | −0.996346 | − | 0.0854052i | \(-0.972782\pi\) |
0.755861 | − | 0.654732i | \(-0.227218\pi\) | |||||||
\(912\) | 24.0215 | − | 7.92343i | 0.795431 | − | 0.262371i | ||||
\(913\) | −3.72457 | + | 11.4630i | −0.123265 | + | 0.379371i | ||||
\(914\) | −4.99196 | − | 21.2797i | −0.165119 | − | 0.703869i | ||||
\(915\) | 1.33420 | − | 1.98552i | 0.0441074 | − | 0.0656391i | ||||
\(916\) | 9.85484 | − | 18.8541i | 0.325613 | − | 0.622956i | ||||
\(917\) | −5.82965 | + | 8.02383i | −0.192512 | + | 0.264970i | ||||
\(918\) | −3.33105 | + | 9.97921i | −0.109941 | + | 0.329363i | ||||
\(919\) | 19.5707 | − | 26.9367i | 0.645576 | − | 0.888560i | −0.353321 | − | 0.935502i | \(-0.614948\pi\) |
0.998898 | + | 0.0469423i | \(0.0149477\pi\) | |||||||
\(920\) | 2.02526 | + | 27.1864i | 0.0667708 | + | 0.896307i | ||||
\(921\) | −23.9841 | + | 0.605548i | −0.790301 | + | 0.0199535i | ||||
\(922\) | −8.92308 | − | 14.7325i | −0.293866 | − | 0.485189i | ||||
\(923\) | 0.772719 | + | 2.37818i | 0.0254343 | + | 0.0782789i | ||||
\(924\) | −12.7182 | − | 12.3460i | −0.418398 | − | 0.406155i | ||||
\(925\) | 43.2969 | + | 29.9716i | 1.42359 | + | 0.985460i | ||||
\(926\) | 0.684757 | − | 8.15828i | 0.0225025 | − | 0.268098i | ||||
\(927\) | 14.0853 | + | 17.4608i | 0.462623 | + | 0.573487i | ||||
\(928\) | 2.65186 | + | 12.4644i | 0.0870516 | + | 0.409163i | ||||
\(929\) | −19.5336 | − | 26.8857i | −0.640876 | − | 0.882090i | 0.357786 | − | 0.933804i | \(-0.383532\pi\) |
−0.998662 | + | 0.0517136i | \(0.983532\pi\) | |||||||
\(930\) | 9.35392 | + | 34.1867i | 0.306727 | + | 1.12103i | ||||
\(931\) | −4.83115 | + | 6.64951i | −0.158335 | + | 0.217929i | ||||
\(932\) | 0.144730 | − | 0.856091i | 0.00474078 | − | 0.0280422i | ||||
\(933\) | 1.84392 | − | 0.651021i | 0.0603672 | − | 0.0213135i | ||||
\(934\) | 9.99144 | − | 23.7712i | 0.326930 | − | 0.777818i | ||||
\(935\) | 5.10251 | − | 1.72253i | 0.166870 | − | 0.0563327i | ||||
\(936\) | −47.1478 | + | 21.4856i | −1.54108 | + | 0.702280i | ||||
\(937\) | 7.57287 | − | 23.3069i | 0.247395 | − | 0.761403i | −0.747838 | − | 0.663881i | \(-0.768908\pi\) |
0.995233 | − | 0.0975225i | \(-0.0310918\pi\) | |||||||
\(938\) | −3.47886 | + | 8.27676i | −0.113589 | + | 0.270246i | ||||
\(939\) | −10.5358 | − | 3.13160i | −0.343824 | − | 0.102196i | ||||
\(940\) | −4.40831 | − | 27.6511i | −0.143783 | − | 0.901880i | ||||
\(941\) | 44.9502 | + | 14.6052i | 1.46533 | + | 0.476116i | 0.929695 | − | 0.368330i | \(-0.120070\pi\) |
0.535640 | + | 0.844447i | \(0.320070\pi\) | |||||||
\(942\) | −13.4563 | + | 3.51726i | −0.438430 | + | 0.114599i | ||||
\(943\) | − | 38.1056i | − | 1.24089i | ||||||
\(944\) | −26.9610 | − | 38.7792i | −0.877507 | − | 1.26216i | ||||
\(945\) | 26.6744 | − | 23.1818i | 0.867719 | − | 0.754104i | ||||
\(946\) | −3.50248 | − | 5.78278i | −0.113875 | − | 0.188014i | ||||
\(947\) | 33.1454 | − | 24.0815i | 1.07708 | − | 0.782545i | 0.0999094 | − | 0.994997i | \(-0.468145\pi\) |
0.977172 | + | 0.212451i | \(0.0681447\pi\) | |||||||
\(948\) | 21.1537 | − | 43.0862i | 0.687042 | − | 1.39937i | ||||
\(949\) | −12.9974 | −0.421914 | ||||||||
\(950\) | 16.4176 | − | 19.9232i | 0.532658 | − | 0.646393i | ||||
\(951\) | −23.4341 | − | 16.1382i | −0.759903 | − | 0.523316i | ||||
\(952\) | −0.774757 | − | 12.2920i | −0.0251100 | − | 0.398387i | ||||
\(953\) | −22.3922 | − | 30.8203i | −0.725356 | − | 0.998367i | −0.999329 | − | 0.0366292i | \(-0.988338\pi\) |
0.273973 | − | 0.961737i | \(-0.411662\pi\) | |||||||
\(954\) | 25.2599 | − | 32.4417i | 0.817821 | − | 1.05034i | ||||
\(955\) | −6.25010 | − | 18.5142i | −0.202248 | − | 0.599105i | ||||
\(956\) | −38.4056 | − | 39.2126i | −1.24213 | − | 1.26823i | ||||
\(957\) | −5.40603 | − | 3.72293i | −0.174752 | − | 0.120345i | ||||
\(958\) | 35.3830 | + | 30.5394i | 1.14317 | + | 0.986684i | ||||
\(959\) | 1.42001 | − | 4.37033i | 0.0458544 | − | 0.141125i | ||||
\(960\) | 27.5295 | − | 14.2171i | 0.888511 | − | 0.458855i | ||||
\(961\) | −3.36031 | − | 10.3420i | −0.108397 | − | 0.333611i | ||||
\(962\) | 35.2398 | − | 83.8410i | 1.13618 | − | 2.70314i | ||||
\(963\) | 3.78917 | − | 0.191460i | 0.122104 | − | 0.00616971i | ||||
\(964\) | 2.89297 | + | 19.5809i | 0.0931764 | + | 0.630657i | ||||
\(965\) | 2.54242 | − | 1.89188i | 0.0818433 | − | 0.0609016i | ||||
\(966\) | −27.0401 | + | 17.3251i | −0.870002 | + | 0.557427i | ||||
\(967\) | 22.5729 | − | 31.0689i | 0.725896 | − | 0.999110i | −0.273412 | − | 0.961897i | \(-0.588152\pi\) |
0.999307 | − | 0.0372128i | \(-0.0118479\pi\) | |||||||
\(968\) | −22.3828 | − | 5.74421i | −0.719411 | − | 0.184626i | ||||
\(969\) | −8.53681 | + | 3.01404i | −0.274242 | + | 0.0968249i | ||||
\(970\) | 2.53155 | + | 0.183416i | 0.0812831 | + | 0.00588913i | ||||
\(971\) | −24.0897 | + | 17.5022i | −0.773076 | + | 0.561672i | −0.902893 | − | 0.429865i | \(-0.858561\pi\) |
0.129817 | + | 0.991538i | \(0.458561\pi\) | |||||||
\(972\) | −17.2693 | − | 25.9571i | −0.553912 | − | 0.832575i | ||||
\(973\) | 8.19613 | + | 25.2251i | 0.262756 | + | 0.808679i | ||||
\(974\) | 1.31015 | − | 15.6093i | 0.0419799 | − | 0.500154i | ||||
\(975\) | −28.9912 | + | 44.2257i | −0.928462 | + | 1.41636i | ||||
\(976\) | 2.33330 | + | 0.812143i | 0.0746871 | + | 0.0259960i | ||||
\(977\) | 39.3183 | − | 12.7753i | 1.25790 | − | 0.408718i | 0.397157 | − | 0.917751i | \(-0.369997\pi\) |
0.860747 | + | 0.509033i | \(0.169997\pi\) | |||||||
\(978\) | −11.5335 | − | 0.675426i | −0.368802 | − | 0.0215977i | ||||
\(979\) | −0.346364 | − | 0.476730i | −0.0110699 | − | 0.0152364i | ||||
\(980\) | −4.56164 | + | 8.97525i | −0.145716 | + | 0.286704i | ||||
\(981\) | −9.67443 | + | 35.8366i | −0.308881 | + | 1.14417i | ||||
\(982\) | −24.4565 | − | 2.05273i | −0.780438 | − | 0.0655053i | ||||
\(983\) | −35.5905 | − | 25.8580i | −1.13516 | − | 0.824743i | −0.148724 | − | 0.988879i | \(-0.547517\pi\) |
−0.986438 | + | 0.164135i | \(0.947517\pi\) | |||||||
\(984\) | −39.8499 | + | 16.9587i | −1.27037 | + | 0.540622i | ||||
\(985\) | 9.99504 | + | 3.12194i | 0.318468 | + | 0.0994733i | ||||
\(986\) | −1.04168 | − | 4.44047i | −0.0331739 | − | 0.141413i | ||||
\(987\) | 26.1871 | − | 20.0551i | 0.833545 | − | 0.638361i | ||||
\(988\) | −39.5145 | − | 20.6538i | −1.25712 | − | 0.657086i | ||||
\(989\) | −11.6497 | + | 3.78520i | −0.370438 | + | 0.120362i | ||||
\(990\) | −5.26203 | + | 15.0670i | −0.167238 | + | 0.478861i | ||||
\(991\) | −10.8514 | − | 3.52582i | −0.344705 | − | 0.112001i | 0.131548 | − | 0.991310i | \(-0.458005\pi\) |
−0.476253 | + | 0.879308i | \(0.658005\pi\) | |||||||
\(992\) | −31.6979 | + | 18.3089i | −1.00641 | + | 0.581307i | ||||
\(993\) | 30.6704 | + | 21.1215i | 0.973296 | + | 0.670272i | ||||
\(994\) | 1.15096 | − | 1.33350i | 0.0365061 | − | 0.0422960i | ||||
\(995\) | 24.2239 | + | 32.5535i | 0.767949 | + | 1.03202i | ||||
\(996\) | 3.51822 | − | 24.5686i | 0.111479 | − | 0.778486i | ||||
\(997\) | −2.50672 | + | 1.82124i | −0.0793886 | + | 0.0576792i | −0.626772 | − | 0.779203i | \(-0.715624\pi\) |
0.547383 | + | 0.836882i | \(0.315624\pi\) | |||||||
\(998\) | −7.09055 | + | 1.66336i | −0.224448 | + | 0.0526527i | ||||
\(999\) | 53.1762 | + | 12.9247i | 1.68242 | + | 0.408920i |
(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 | 300.2.n.a.131.31 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.131.26 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.131.20 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.131.37 | yes | 224 | |
25.21 | even | 5 | inner | 300.2.n.a.71.37 | yes | 224 | |
75.71 | odd | 10 | inner | 300.2.n.a.71.20 | ✓ | 224 | |
100.71 | odd | 10 | inner | 300.2.n.a.71.26 | yes | 224 | |
300.71 | even | 10 | inner | 300.2.n.a.71.31 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.71.20 | ✓ | 224 | 75.71 | odd | 10 | inner | |
300.2.n.a.71.26 | yes | 224 | 100.71 | odd | 10 | inner | |
300.2.n.a.71.31 | yes | 224 | 300.71 | even | 10 | inner | |
300.2.n.a.71.37 | yes | 224 | 25.21 | even | 5 | inner | |
300.2.n.a.131.20 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.131.26 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.131.31 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.131.37 | yes | 224 | 12.11 | even | 2 | inner |