Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(121,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.i (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} + 2 x^{14} - 4 x^{13} + 5 x^{12} + 2 x^{11} - 35 x^{10} + 81 x^{9} - 66 x^{8} + 243 x^{7} - 315 x^{6} + 54 x^{5} + 405 x^{4} - 972 x^{3} + 1458 x^{2} - 2187 x + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 151.6 | ||
Root | \(-0.803168 - 1.53458i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 630.151 |
Dual form | 630.2.i.i.121.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | 0.927397 | + | 1.46285i | 0.535433 | + | 0.844578i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 0.500000 | − | 0.866025i | 0.223607 | − | 0.387298i | ||||
\(6\) | −0.927397 | − | 1.46285i | −0.378608 | − | 0.597207i | ||||
\(7\) | 0.832221 | + | 2.51146i | 0.314550 | + | 0.949241i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −1.27987 | + | 2.71329i | −0.426623 | + | 0.904429i | ||||
\(10\) | −0.500000 | + | 0.866025i | −0.158114 | + | 0.273861i | ||||
\(11\) | −0.189632 | − | 0.328453i | −0.0571763 | − | 0.0990322i | 0.836021 | − | 0.548698i | \(-0.184876\pi\) |
−0.893197 | + | 0.449666i | \(0.851543\pi\) | |||||||
\(12\) | 0.927397 | + | 1.46285i | 0.267716 | + | 0.422289i | ||||
\(13\) | −0.308106 | − | 0.533656i | −0.0854533 | − | 0.148009i | 0.820131 | − | 0.572176i | \(-0.193901\pi\) |
−0.905584 | + | 0.424166i | \(0.860567\pi\) | |||||||
\(14\) | −0.832221 | − | 2.51146i | −0.222420 | − | 0.671215i | ||||
\(15\) | 1.73057 | − | 0.0717234i | 0.446830 | − | 0.0185189i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −1.97521 | + | 3.42117i | −0.479060 | + | 0.829756i | −0.999712 | − | 0.0240132i | \(-0.992356\pi\) |
0.520652 | + | 0.853769i | \(0.325689\pi\) | |||||||
\(18\) | 1.27987 | − | 2.71329i | 0.301668 | − | 0.639528i | ||||
\(19\) | 2.57037 | + | 4.45201i | 0.589684 | + | 1.02136i | 0.994274 | + | 0.106864i | \(0.0340809\pi\) |
−0.404590 | + | 0.914498i | \(0.632586\pi\) | |||||||
\(20\) | 0.500000 | − | 0.866025i | 0.111803 | − | 0.193649i | ||||
\(21\) | −2.90209 | + | 3.54653i | −0.633287 | + | 0.773917i | ||||
\(22\) | 0.189632 | + | 0.328453i | 0.0404297 | + | 0.0700263i | ||||
\(23\) | −1.37042 | + | 2.37364i | −0.285752 | + | 0.494938i | −0.972791 | − | 0.231683i | \(-0.925577\pi\) |
0.687039 | + | 0.726621i | \(0.258910\pi\) | |||||||
\(24\) | −0.927397 | − | 1.46285i | −0.189304 | − | 0.298603i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 0.308106 | + | 0.533656i | 0.0604246 | + | 0.104658i | ||||
\(27\) | −5.15609 | + | 0.644035i | −0.992289 | + | 0.123945i | ||||
\(28\) | 0.832221 | + | 2.51146i | 0.157275 | + | 0.474620i | ||||
\(29\) | 3.69460 | − | 6.39923i | 0.686070 | − | 1.18831i | −0.287029 | − | 0.957922i | \(-0.592668\pi\) |
0.973099 | − | 0.230386i | \(-0.0739989\pi\) | |||||||
\(30\) | −1.73057 | + | 0.0717234i | −0.315957 | + | 0.0130948i | ||||
\(31\) | 2.37926 | 0.427329 | 0.213664 | − | 0.976907i | \(-0.431460\pi\) | ||||
0.213664 | + | 0.976907i | \(0.431460\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0.304613 | − | 0.582010i | 0.0530263 | − | 0.101315i | ||||
\(34\) | 1.97521 | − | 3.42117i | 0.338746 | − | 0.586726i | ||||
\(35\) | 2.59109 | + | 0.535003i | 0.437975 | + | 0.0904320i | ||||
\(36\) | −1.27987 | + | 2.71329i | −0.213312 | + | 0.452215i | ||||
\(37\) | 3.99026 | + | 6.91133i | 0.655994 | + | 1.13621i | 0.981644 | + | 0.190724i | \(0.0610837\pi\) |
−0.325650 | + | 0.945491i | \(0.605583\pi\) | |||||||
\(38\) | −2.57037 | − | 4.45201i | −0.416969 | − | 0.722212i | ||||
\(39\) | 0.494922 | − | 0.945624i | 0.0792510 | − | 0.151421i | ||||
\(40\) | −0.500000 | + | 0.866025i | −0.0790569 | + | 0.136931i | ||||
\(41\) | −3.63844 | − | 6.30196i | −0.568229 | − | 0.984201i | −0.996741 | − | 0.0806654i | \(-0.974295\pi\) |
0.428512 | − | 0.903536i | \(-0.359038\pi\) | |||||||
\(42\) | 2.90209 | − | 3.54653i | 0.447802 | − | 0.547242i | ||||
\(43\) | −2.57500 | + | 4.46002i | −0.392683 | + | 0.680147i | −0.992802 | − | 0.119763i | \(-0.961786\pi\) |
0.600119 | + | 0.799911i | \(0.295120\pi\) | |||||||
\(44\) | −0.189632 | − | 0.328453i | −0.0285881 | − | 0.0495161i | ||||
\(45\) | 1.70984 | + | 2.46504i | 0.254888 | + | 0.367467i | ||||
\(46\) | 1.37042 | − | 2.37364i | 0.202058 | − | 0.349974i | ||||
\(47\) | 7.44508 | 1.08598 | 0.542988 | − | 0.839740i | \(-0.317293\pi\) | ||||
0.542988 | + | 0.839740i | \(0.317293\pi\) | |||||||
\(48\) | 0.927397 | + | 1.46285i | 0.133858 | + | 0.211144i | ||||
\(49\) | −5.61482 | + | 4.18017i | −0.802117 | + | 0.597168i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | −6.83647 | + | 0.283338i | −0.957298 | + | 0.0396753i | ||||
\(52\) | −0.308106 | − | 0.533656i | −0.0427266 | − | 0.0740047i | ||||
\(53\) | −0.998199 | + | 1.72893i | −0.137113 | + | 0.237487i | −0.926403 | − | 0.376534i | \(-0.877116\pi\) |
0.789290 | + | 0.614021i | \(0.210449\pi\) | |||||||
\(54\) | 5.15609 | − | 0.644035i | 0.701654 | − | 0.0876421i | ||||
\(55\) | −0.379264 | −0.0511400 | ||||||||
\(56\) | −0.832221 | − | 2.51146i | −0.111210 | − | 0.335607i | ||||
\(57\) | −4.12888 | + | 7.88885i | −0.546884 | + | 1.04490i | ||||
\(58\) | −3.69460 | + | 6.39923i | −0.485125 | + | 0.840261i | ||||
\(59\) | 0.231761 | 0.0301727 | 0.0150864 | − | 0.999886i | \(-0.495198\pi\) | ||||
0.0150864 | + | 0.999886i | \(0.495198\pi\) | |||||||
\(60\) | 1.73057 | − | 0.0717234i | 0.223415 | − | 0.00925945i | ||||
\(61\) | −11.5356 | −1.47699 | −0.738494 | − | 0.674260i | \(-0.764463\pi\) | ||||
−0.738494 | + | 0.674260i | \(0.764463\pi\) | |||||||
\(62\) | −2.37926 | −0.302167 | ||||||||
\(63\) | −7.87944 | − | 0.956281i | −0.992716 | − | 0.120480i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.616212 | −0.0764317 | ||||||||
\(66\) | −0.304613 | + | 0.582010i | −0.0374953 | + | 0.0716404i | ||||
\(67\) | 13.4063 | 1.63784 | 0.818919 | − | 0.573909i | \(-0.194574\pi\) | ||||
0.818919 | + | 0.573909i | \(0.194574\pi\) | |||||||
\(68\) | −1.97521 | + | 3.42117i | −0.239530 | + | 0.414878i | ||||
\(69\) | −4.74320 | + | 0.196583i | −0.571015 | + | 0.0236658i | ||||
\(70\) | −2.59109 | − | 0.535003i | −0.309695 | − | 0.0639451i | ||||
\(71\) | −11.2870 | −1.33952 | −0.669758 | − | 0.742580i | \(-0.733602\pi\) | ||||
−0.669758 | + | 0.742580i | \(0.733602\pi\) | |||||||
\(72\) | 1.27987 | − | 2.71329i | 0.150834 | − | 0.319764i | ||||
\(73\) | −3.58534 | + | 6.20999i | −0.419632 | + | 0.726824i | −0.995902 | − | 0.0904348i | \(-0.971174\pi\) |
0.576270 | + | 0.817259i | \(0.304508\pi\) | |||||||
\(74\) | −3.99026 | − | 6.91133i | −0.463858 | − | 0.803425i | ||||
\(75\) | 0.803168 | − | 1.53458i | 0.0927419 | − | 0.177197i | ||||
\(76\) | 2.57037 | + | 4.45201i | 0.294842 | + | 0.510681i | ||||
\(77\) | 0.667078 | − | 0.749598i | 0.0760206 | − | 0.0854246i | ||||
\(78\) | −0.494922 | + | 0.945624i | −0.0560389 | + | 0.107071i | ||||
\(79\) | 6.03527 | 0.679021 | 0.339510 | − | 0.940602i | \(-0.389739\pi\) | ||||
0.339510 | + | 0.940602i | \(0.389739\pi\) | |||||||
\(80\) | 0.500000 | − | 0.866025i | 0.0559017 | − | 0.0968246i | ||||
\(81\) | −5.72387 | − | 6.94531i | −0.635985 | − | 0.771701i | ||||
\(82\) | 3.63844 | + | 6.30196i | 0.401799 | + | 0.695935i | ||||
\(83\) | 4.29143 | − | 7.43298i | 0.471046 | − | 0.815876i | −0.528405 | − | 0.848992i | \(-0.677210\pi\) |
0.999452 | + | 0.0331163i | \(0.0105432\pi\) | |||||||
\(84\) | −2.90209 | + | 3.54653i | −0.316644 | + | 0.386958i | ||||
\(85\) | 1.97521 | + | 3.42117i | 0.214242 | + | 0.371078i | ||||
\(86\) | 2.57500 | − | 4.46002i | 0.277669 | − | 0.480937i | ||||
\(87\) | 12.7875 | − | 0.529979i | 1.37096 | − | 0.0568197i | ||||
\(88\) | 0.189632 | + | 0.328453i | 0.0202149 | + | 0.0350132i | ||||
\(89\) | 6.26653 | + | 10.8540i | 0.664251 | + | 1.15052i | 0.979488 | + | 0.201504i | \(0.0645828\pi\) |
−0.315237 | + | 0.949013i | \(0.602084\pi\) | |||||||
\(90\) | −1.70984 | − | 2.46504i | −0.180233 | − | 0.259838i | ||||
\(91\) | 1.08384 | − | 1.21791i | 0.113617 | − | 0.127672i | ||||
\(92\) | −1.37042 | + | 2.37364i | −0.142876 | + | 0.247469i | ||||
\(93\) | 2.20652 | + | 3.48051i | 0.228806 | + | 0.360912i | ||||
\(94\) | −7.44508 | −0.767901 | ||||||||
\(95\) | 5.14074 | 0.527429 | ||||||||
\(96\) | −0.927397 | − | 1.46285i | −0.0946520 | − | 0.149302i | ||||
\(97\) | −0.792120 | + | 1.37199i | −0.0804276 | + | 0.139305i | −0.903434 | − | 0.428728i | \(-0.858962\pi\) |
0.823006 | + | 0.568033i | \(0.192295\pi\) | |||||||
\(98\) | 5.61482 | − | 4.18017i | 0.567182 | − | 0.422261i | ||||
\(99\) | 1.13389 | − | 0.0941502i | 0.113960 | − | 0.00946245i | ||||
\(100\) | −0.500000 | − | 0.866025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | 6.03331 | + | 10.4500i | 0.600337 | + | 1.03981i | 0.992770 | + | 0.120033i | \(0.0383001\pi\) |
−0.392433 | + | 0.919781i | \(0.628367\pi\) | |||||||
\(102\) | 6.83647 | − | 0.283338i | 0.676912 | − | 0.0280547i | ||||
\(103\) | 5.73449 | − | 9.93243i | 0.565036 | − | 0.978672i | −0.432010 | − | 0.901869i | \(-0.642196\pi\) |
0.997046 | − | 0.0768027i | \(-0.0244712\pi\) | |||||||
\(104\) | 0.308106 | + | 0.533656i | 0.0302123 | + | 0.0523292i | ||||
\(105\) | 1.62034 | + | 4.28655i | 0.158129 | + | 0.418324i | ||||
\(106\) | 0.998199 | − | 1.72893i | 0.0969537 | − | 0.167929i | ||||
\(107\) | 2.31889 | + | 4.01643i | 0.224175 | + | 0.388283i | 0.956072 | − | 0.293133i | \(-0.0946979\pi\) |
−0.731896 | + | 0.681416i | \(0.761365\pi\) | |||||||
\(108\) | −5.15609 | + | 0.644035i | −0.496145 | + | 0.0619723i | ||||
\(109\) | 6.78033 | − | 11.7439i | 0.649438 | − | 1.12486i | −0.333820 | − | 0.942637i | \(-0.608338\pi\) |
0.983257 | − | 0.182222i | \(-0.0583290\pi\) | |||||||
\(110\) | 0.379264 | 0.0361614 | ||||||||
\(111\) | −6.40969 | + | 12.2467i | −0.608381 | + | 1.16240i | ||||
\(112\) | 0.832221 | + | 2.51146i | 0.0786375 | + | 0.237310i | ||||
\(113\) | −7.78805 | − | 13.4893i | −0.732638 | − | 1.26897i | −0.955752 | − | 0.294174i | \(-0.904956\pi\) |
0.223114 | − | 0.974792i | \(-0.428378\pi\) | |||||||
\(114\) | 4.12888 | − | 7.88885i | 0.386705 | − | 0.738859i | ||||
\(115\) | 1.37042 | + | 2.37364i | 0.127792 | + | 0.221343i | ||||
\(116\) | 3.69460 | − | 6.39923i | 0.343035 | − | 0.594154i | ||||
\(117\) | 1.84230 | − | 0.152971i | 0.170320 | − | 0.0141422i | ||||
\(118\) | −0.231761 | −0.0213353 | ||||||||
\(119\) | −10.2359 | − | 2.11349i | −0.938327 | − | 0.193743i | ||||
\(120\) | −1.73057 | + | 0.0717234i | −0.157978 | + | 0.00654742i | ||||
\(121\) | 5.42808 | − | 9.40171i | 0.493462 | − | 0.854701i | ||||
\(122\) | 11.5356 | 1.04439 | ||||||||
\(123\) | 5.84456 | − | 11.1669i | 0.526986 | − | 1.00689i | ||||
\(124\) | 2.37926 | 0.213664 | ||||||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 7.87944 | + | 0.956281i | 0.701956 | + | 0.0851922i | ||||
\(127\) | 8.57545 | 0.760948 | 0.380474 | − | 0.924792i | \(-0.375761\pi\) | ||||
0.380474 | + | 0.924792i | \(0.375761\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −8.91240 | + | 0.369375i | −0.784693 | + | 0.0325217i | ||||
\(130\) | 0.616212 | 0.0540454 | ||||||||
\(131\) | 6.90931 | − | 11.9673i | 0.603669 | − | 1.04559i | −0.388591 | − | 0.921410i | \(-0.627038\pi\) |
0.992260 | − | 0.124175i | \(-0.0396286\pi\) | |||||||
\(132\) | 0.304613 | − | 0.582010i | 0.0265132 | − | 0.0506574i | ||||
\(133\) | −9.04192 | + | 10.1604i | −0.784033 | + | 0.881021i | ||||
\(134\) | −13.4063 | −1.15813 | ||||||||
\(135\) | −2.02029 | + | 4.78732i | −0.173879 | + | 0.412027i | ||||
\(136\) | 1.97521 | − | 3.42117i | 0.169373 | − | 0.293363i | ||||
\(137\) | −4.66480 | − | 8.07967i | −0.398541 | − | 0.690293i | 0.595005 | − | 0.803722i | \(-0.297150\pi\) |
−0.993546 | + | 0.113429i | \(0.963817\pi\) | |||||||
\(138\) | 4.74320 | − | 0.196583i | 0.403768 | − | 0.0167342i | ||||
\(139\) | −4.87554 | − | 8.44469i | −0.413538 | − | 0.716269i | 0.581736 | − | 0.813378i | \(-0.302374\pi\) |
−0.995274 | + | 0.0971088i | \(0.969041\pi\) | |||||||
\(140\) | 2.59109 | + | 0.535003i | 0.218987 | + | 0.0452160i | ||||
\(141\) | 6.90454 | + | 10.8910i | 0.581467 | + | 0.917191i | ||||
\(142\) | 11.2870 | 0.947181 | ||||||||
\(143\) | −0.116854 | + | 0.202397i | −0.00977180 | + | 0.0169253i | ||||
\(144\) | −1.27987 | + | 2.71329i | −0.106656 | + | 0.226107i | ||||
\(145\) | −3.69460 | − | 6.39923i | −0.306820 | − | 0.531427i | ||||
\(146\) | 3.58534 | − | 6.20999i | 0.296725 | − | 0.513943i | ||||
\(147\) | −11.3221 | − | 4.33696i | −0.933834 | − | 0.357707i | ||||
\(148\) | 3.99026 | + | 6.91133i | 0.327997 | + | 0.568107i | ||||
\(149\) | 3.12699 | − | 5.41611i | 0.256173 | − | 0.443705i | −0.709040 | − | 0.705168i | \(-0.750872\pi\) |
0.965214 | + | 0.261463i | \(0.0842049\pi\) | |||||||
\(150\) | −0.803168 | + | 1.53458i | −0.0655784 | + | 0.125298i | ||||
\(151\) | −10.9945 | − | 19.0431i | −0.894723 | − | 1.54971i | −0.834147 | − | 0.551542i | \(-0.814040\pi\) |
−0.0605755 | − | 0.998164i | \(-0.519294\pi\) | |||||||
\(152\) | −2.57037 | − | 4.45201i | −0.208485 | − | 0.361106i | ||||
\(153\) | −6.75461 | − | 9.73798i | −0.546078 | − | 0.787269i | ||||
\(154\) | −0.667078 | + | 0.749598i | −0.0537547 | + | 0.0604043i | ||||
\(155\) | 1.18963 | − | 2.06050i | 0.0955536 | − | 0.165504i | ||||
\(156\) | 0.494922 | − | 0.945624i | 0.0396255 | − | 0.0757105i | ||||
\(157\) | 15.9599 | 1.27374 | 0.636869 | − | 0.770972i | \(-0.280229\pi\) | ||||
0.636869 | + | 0.770972i | \(0.280229\pi\) | |||||||
\(158\) | −6.03527 | −0.480140 | ||||||||
\(159\) | −3.45490 | + | 0.143189i | −0.273991 | + | 0.0113556i | ||||
\(160\) | −0.500000 | + | 0.866025i | −0.0395285 | + | 0.0684653i | ||||
\(161\) | −7.10178 | − | 1.46636i | −0.559699 | − | 0.115565i | ||||
\(162\) | 5.72387 | + | 6.94531i | 0.449709 | + | 0.545675i | ||||
\(163\) | −3.60765 | − | 6.24864i | −0.282573 | − | 0.489431i | 0.689444 | − | 0.724339i | \(-0.257855\pi\) |
−0.972018 | + | 0.234907i | \(0.924521\pi\) | |||||||
\(164\) | −3.63844 | − | 6.30196i | −0.284114 | − | 0.492101i | ||||
\(165\) | −0.351729 | − | 0.554808i | −0.0273820 | − | 0.0431917i | ||||
\(166\) | −4.29143 | + | 7.43298i | −0.333080 | + | 0.576911i | ||||
\(167\) | 5.11565 | + | 8.86057i | 0.395861 | + | 0.685652i | 0.993211 | − | 0.116329i | \(-0.0371128\pi\) |
−0.597350 | + | 0.801981i | \(0.703779\pi\) | |||||||
\(168\) | 2.90209 | − | 3.54653i | 0.223901 | − | 0.273621i | ||||
\(169\) | 6.31014 | − | 10.9295i | 0.485395 | − | 0.840730i | ||||
\(170\) | −1.97521 | − | 3.42117i | −0.151492 | − | 0.262392i | ||||
\(171\) | −15.3693 | + | 1.27616i | −1.17532 | + | 0.0975903i | ||||
\(172\) | −2.57500 | + | 4.46002i | −0.196342 | + | 0.340074i | ||||
\(173\) | 4.25750 | 0.323692 | 0.161846 | − | 0.986816i | \(-0.448255\pi\) | ||||
0.161846 | + | 0.986816i | \(0.448255\pi\) | |||||||
\(174\) | −12.7875 | + | 0.529979i | −0.969417 | + | 0.0401776i | ||||
\(175\) | 1.75887 | − | 1.97645i | 0.132958 | − | 0.149406i | ||||
\(176\) | −0.189632 | − | 0.328453i | −0.0142941 | − | 0.0247580i | ||||
\(177\) | 0.214934 | + | 0.339032i | 0.0161555 | + | 0.0254832i | ||||
\(178\) | −6.26653 | − | 10.8540i | −0.469696 | − | 0.813538i | ||||
\(179\) | 1.87410 | − | 3.24604i | 0.140077 | − | 0.242621i | −0.787448 | − | 0.616381i | \(-0.788598\pi\) |
0.927525 | + | 0.373760i | \(0.121932\pi\) | |||||||
\(180\) | 1.70984 | + | 2.46504i | 0.127444 | + | 0.183734i | ||||
\(181\) | 19.5320 | 1.45180 | 0.725899 | − | 0.687801i | \(-0.241424\pi\) | ||||
0.725899 | + | 0.687801i | \(0.241424\pi\) | |||||||
\(182\) | −1.08384 | + | 1.21791i | −0.0803395 | + | 0.0902778i | ||||
\(183\) | −10.6981 | − | 16.8749i | −0.790828 | − | 1.24743i | ||||
\(184\) | 1.37042 | − | 2.37364i | 0.101029 | − | 0.174987i | ||||
\(185\) | 7.98051 | 0.586739 | ||||||||
\(186\) | −2.20652 | − | 3.48051i | −0.161790 | − | 0.255203i | ||||
\(187\) | 1.49826 | 0.109563 | ||||||||
\(188\) | 7.44508 | 0.542988 | ||||||||
\(189\) | −5.90847 | − | 12.4133i | −0.429778 | − | 0.902935i | ||||
\(190\) | −5.14074 | −0.372949 | ||||||||
\(191\) | 7.73641 | 0.559787 | 0.279893 | − | 0.960031i | \(-0.409701\pi\) | ||||
0.279893 | + | 0.960031i | \(0.409701\pi\) | |||||||
\(192\) | 0.927397 | + | 1.46285i | 0.0669291 | + | 0.105572i | ||||
\(193\) | 1.20249 | 0.0865569 | 0.0432784 | − | 0.999063i | \(-0.486220\pi\) | ||||
0.0432784 | + | 0.999063i | \(0.486220\pi\) | |||||||
\(194\) | 0.792120 | − | 1.37199i | 0.0568709 | − | 0.0985033i | ||||
\(195\) | −0.571473 | − | 0.901427i | −0.0409241 | − | 0.0645525i | ||||
\(196\) | −5.61482 | + | 4.18017i | −0.401058 | + | 0.298584i | ||||
\(197\) | −18.2839 | −1.30268 | −0.651339 | − | 0.758787i | \(-0.725792\pi\) | ||||
−0.651339 | + | 0.758787i | \(0.725792\pi\) | |||||||
\(198\) | −1.13389 | + | 0.0941502i | −0.0805821 | + | 0.00669096i | ||||
\(199\) | −4.34213 | + | 7.52079i | −0.307806 | + | 0.533135i | −0.977882 | − | 0.209157i | \(-0.932928\pi\) |
0.670076 | + | 0.742292i | \(0.266261\pi\) | |||||||
\(200\) | 0.500000 | + | 0.866025i | 0.0353553 | + | 0.0612372i | ||||
\(201\) | 12.4329 | + | 19.6114i | 0.876953 | + | 1.38328i | ||||
\(202\) | −6.03331 | − | 10.4500i | −0.424502 | − | 0.735259i | ||||
\(203\) | 19.1461 | + | 3.95324i | 1.34379 | + | 0.277463i | ||||
\(204\) | −6.83647 | + | 0.283338i | −0.478649 | + | 0.0198376i | ||||
\(205\) | −7.27688 | −0.508239 | ||||||||
\(206\) | −5.73449 | + | 9.93243i | −0.399541 | + | 0.692025i | ||||
\(207\) | −4.68640 | − | 6.75630i | −0.325728 | − | 0.469595i | ||||
\(208\) | −0.308106 | − | 0.533656i | −0.0213633 | − | 0.0370024i | ||||
\(209\) | 0.974850 | − | 1.68849i | 0.0674318 | − | 0.116795i | ||||
\(210\) | −1.62034 | − | 4.28655i | −0.111814 | − | 0.295800i | ||||
\(211\) | −7.54299 | − | 13.0648i | −0.519281 | − | 0.899421i | −0.999749 | − | 0.0224087i | \(-0.992866\pi\) |
0.480468 | − | 0.877012i | \(-0.340467\pi\) | |||||||
\(212\) | −0.998199 | + | 1.72893i | −0.0685566 | + | 0.118744i | ||||
\(213\) | −10.4675 | − | 16.5111i | −0.717221 | − | 1.13133i | ||||
\(214\) | −2.31889 | − | 4.01643i | −0.158516 | − | 0.274557i | ||||
\(215\) | 2.57500 | + | 4.46002i | 0.175613 | + | 0.304171i | ||||
\(216\) | 5.15609 | − | 0.644035i | 0.350827 | − | 0.0438210i | ||||
\(217\) | 1.98007 | + | 5.97542i | 0.134416 | + | 0.405638i | ||||
\(218\) | −6.78033 | + | 11.7439i | −0.459222 | + | 0.795396i | ||||
\(219\) | −12.4093 | + | 0.514306i | −0.838545 | + | 0.0347536i | ||||
\(220\) | −0.379264 | −0.0255700 | ||||||||
\(221\) | 2.43430 | 0.163749 | ||||||||
\(222\) | 6.40969 | − | 12.2467i | 0.430190 | − | 0.821944i | ||||
\(223\) | 11.1346 | − | 19.2857i | 0.745629 | − | 1.29147i | −0.204271 | − | 0.978914i | \(-0.565482\pi\) |
0.949900 | − | 0.312553i | \(-0.101184\pi\) | |||||||
\(224\) | −0.832221 | − | 2.51146i | −0.0556051 | − | 0.167804i | ||||
\(225\) | 2.98971 | − | 0.248244i | 0.199314 | − | 0.0165496i | ||||
\(226\) | 7.78805 | + | 13.4893i | 0.518053 | + | 0.897295i | ||||
\(227\) | −1.45201 | − | 2.51496i | −0.0963734 | − | 0.166924i | 0.813808 | − | 0.581134i | \(-0.197391\pi\) |
−0.910181 | + | 0.414211i | \(0.864058\pi\) | |||||||
\(228\) | −4.12888 | + | 7.88885i | −0.273442 | + | 0.522452i | ||||
\(229\) | −7.40450 | + | 12.8250i | −0.489303 | + | 0.847498i | −0.999924 | − | 0.0123082i | \(-0.996082\pi\) |
0.510621 | + | 0.859806i | \(0.329415\pi\) | |||||||
\(230\) | −1.37042 | − | 2.37364i | −0.0903629 | − | 0.156513i | ||||
\(231\) | 1.71520 | + | 0.280661i | 0.112852 | + | 0.0184662i | ||||
\(232\) | −3.69460 | + | 6.39923i | −0.242562 | + | 0.420130i | ||||
\(233\) | 9.63735 | + | 16.6924i | 0.631364 | + | 1.09355i | 0.987273 | + | 0.159034i | \(0.0508379\pi\) |
−0.355909 | + | 0.934521i | \(0.615829\pi\) | |||||||
\(234\) | −1.84230 | + | 0.152971i | −0.120435 | + | 0.0100000i | ||||
\(235\) | 3.72254 | − | 6.44763i | 0.242832 | − | 0.420597i | ||||
\(236\) | 0.231761 | 0.0150864 | ||||||||
\(237\) | 5.59709 | + | 8.82870i | 0.363570 | + | 0.573486i | ||||
\(238\) | 10.2359 | + | 2.11349i | 0.663497 | + | 0.136997i | ||||
\(239\) | 5.41490 | + | 9.37888i | 0.350261 | + | 0.606669i | 0.986295 | − | 0.164991i | \(-0.0527597\pi\) |
−0.636034 | + | 0.771661i | \(0.719426\pi\) | |||||||
\(240\) | 1.73057 | − | 0.0717234i | 0.111708 | − | 0.00462973i | ||||
\(241\) | 3.49332 | + | 6.05061i | 0.225025 | + | 0.389754i | 0.956327 | − | 0.292300i | \(-0.0944204\pi\) |
−0.731302 | + | 0.682054i | \(0.761087\pi\) | |||||||
\(242\) | −5.42808 | + | 9.40171i | −0.348930 | + | 0.604365i | ||||
\(243\) | 4.85167 | − | 14.8142i | 0.311235 | − | 0.950333i | ||||
\(244\) | −11.5356 | −0.738494 | ||||||||
\(245\) | 0.812728 | + | 6.95266i | 0.0519233 | + | 0.444189i | ||||
\(246\) | −5.84456 | + | 11.1669i | −0.372636 | + | 0.711977i | ||||
\(247\) | 1.58389 | − | 2.74339i | 0.100781 | − | 0.174557i | ||||
\(248\) | −2.37926 | −0.151083 | ||||||||
\(249\) | 14.8532 | − | 0.615593i | 0.941284 | − | 0.0390116i | ||||
\(250\) | 1.00000 | 0.0632456 | ||||||||
\(251\) | 17.4193 | 1.09950 | 0.549749 | − | 0.835330i | \(-0.314723\pi\) | ||||
0.549749 | + | 0.835330i | \(0.314723\pi\) | |||||||
\(252\) | −7.87944 | − | 0.956281i | −0.496358 | − | 0.0602400i | ||||
\(253\) | 1.03950 | 0.0653530 | ||||||||
\(254\) | −8.57545 | −0.538072 | ||||||||
\(255\) | −3.17286 | + | 6.06223i | −0.198692 | + | 0.379632i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −6.55702 | + | 11.3571i | −0.409016 | + | 0.708436i | −0.994780 | − | 0.102046i | \(-0.967461\pi\) |
0.585764 | + | 0.810482i | \(0.300795\pi\) | |||||||
\(258\) | 8.91240 | − | 0.369375i | 0.554862 | − | 0.0229963i | ||||
\(259\) | −14.0367 | + | 15.7731i | −0.872199 | + | 0.980093i | ||||
\(260\) | −0.616212 | −0.0382159 | ||||||||
\(261\) | 12.6344 | + | 18.2147i | 0.782047 | + | 1.12746i | ||||
\(262\) | −6.90931 | + | 11.9673i | −0.426859 | + | 0.739341i | ||||
\(263\) | 2.40150 | + | 4.15951i | 0.148083 | + | 0.256487i | 0.930519 | − | 0.366244i | \(-0.119357\pi\) |
−0.782436 | + | 0.622731i | \(0.786023\pi\) | |||||||
\(264\) | −0.304613 | + | 0.582010i | −0.0187476 | + | 0.0358202i | ||||
\(265\) | 0.998199 | + | 1.72893i | 0.0613189 | + | 0.106207i | ||||
\(266\) | 9.04192 | − | 10.1604i | 0.554395 | − | 0.622976i | ||||
\(267\) | −10.0662 | + | 19.2329i | −0.616039 | + | 1.17704i | ||||
\(268\) | 13.4063 | 0.818919 | ||||||||
\(269\) | −4.56270 | + | 7.90283i | −0.278193 | + | 0.481844i | −0.970936 | − | 0.239341i | \(-0.923069\pi\) |
0.692743 | + | 0.721185i | \(0.256402\pi\) | |||||||
\(270\) | 2.02029 | − | 4.78732i | 0.122951 | − | 0.291347i | ||||
\(271\) | −13.2680 | − | 22.9808i | −0.805973 | − | 1.39599i | −0.915632 | − | 0.402017i | \(-0.868309\pi\) |
0.109659 | − | 0.993969i | \(-0.465024\pi\) | |||||||
\(272\) | −1.97521 | + | 3.42117i | −0.119765 | + | 0.207439i | ||||
\(273\) | 2.78678 | + | 0.456007i | 0.168663 | + | 0.0275988i | ||||
\(274\) | 4.66480 | + | 8.07967i | 0.281811 | + | 0.488111i | ||||
\(275\) | −0.189632 | + | 0.328453i | −0.0114353 | + | 0.0198064i | ||||
\(276\) | −4.74320 | + | 0.196583i | −0.285507 | + | 0.0118329i | ||||
\(277\) | 1.17060 | + | 2.02754i | 0.0703347 | + | 0.121823i | 0.899048 | − | 0.437850i | \(-0.144260\pi\) |
−0.828713 | + | 0.559673i | \(0.810927\pi\) | |||||||
\(278\) | 4.87554 | + | 8.44469i | 0.292416 | + | 0.506479i | ||||
\(279\) | −3.04515 | + | 6.45563i | −0.182308 | + | 0.386488i | ||||
\(280\) | −2.59109 | − | 0.535003i | −0.154848 | − | 0.0319725i | ||||
\(281\) | 8.99372 | − | 15.5776i | 0.536520 | − | 0.929280i | −0.462568 | − | 0.886584i | \(-0.653072\pi\) |
0.999088 | − | 0.0426963i | \(-0.0135948\pi\) | |||||||
\(282\) | −6.90454 | − | 10.8910i | −0.411159 | − | 0.648552i | ||||
\(283\) | −7.92530 | −0.471110 | −0.235555 | − | 0.971861i | \(-0.575691\pi\) | ||||
−0.235555 | + | 0.971861i | \(0.575691\pi\) | |||||||
\(284\) | −11.2870 | −0.669758 | ||||||||
\(285\) | 4.76751 | + | 7.52014i | 0.282403 | + | 0.445455i | ||||
\(286\) | 0.116854 | − | 0.202397i | 0.00690970 | − | 0.0119680i | ||||
\(287\) | 12.7991 | − | 14.3824i | 0.755508 | − | 0.848967i | ||||
\(288\) | 1.27987 | − | 2.71329i | 0.0754171 | − | 0.159882i | ||||
\(289\) | 0.697058 | + | 1.20734i | 0.0410034 | + | 0.0710200i | ||||
\(290\) | 3.69460 | + | 6.39923i | 0.216954 | + | 0.375776i | ||||
\(291\) | −2.74163 | + | 0.113627i | −0.160717 | + | 0.00666094i | ||||
\(292\) | −3.58534 | + | 6.20999i | −0.209816 | + | 0.363412i | ||||
\(293\) | 13.3538 | + | 23.1294i | 0.780135 | + | 1.35123i | 0.931863 | + | 0.362811i | \(0.118183\pi\) |
−0.151728 | + | 0.988422i | \(0.548484\pi\) | |||||||
\(294\) | 11.3221 | + | 4.33696i | 0.660320 | + | 0.252937i | ||||
\(295\) | 0.115881 | − | 0.200711i | 0.00674683 | − | 0.0116858i | ||||
\(296\) | −3.99026 | − | 6.91133i | −0.231929 | − | 0.401713i | ||||
\(297\) | 1.18929 | + | 1.57140i | 0.0690099 | + | 0.0911819i | ||||
\(298\) | −3.12699 | + | 5.41611i | −0.181142 | + | 0.313747i | ||||
\(299\) | 1.68894 | 0.0976739 | ||||||||
\(300\) | 0.803168 | − | 1.53458i | 0.0463709 | − | 0.0885987i | ||||
\(301\) | −13.3441 | − | 2.75526i | −0.769142 | − | 0.158811i | ||||
\(302\) | 10.9945 | + | 19.0431i | 0.632665 | + | 1.09581i | ||||
\(303\) | −9.69153 | + | 18.5171i | −0.556764 | + | 1.06378i | ||||
\(304\) | 2.57037 | + | 4.45201i | 0.147421 | + | 0.255340i | ||||
\(305\) | −5.76782 | + | 9.99016i | −0.330264 | + | 0.572035i | ||||
\(306\) | 6.75461 | + | 9.73798i | 0.386135 | + | 0.556683i | ||||
\(307\) | 17.6963 | 1.00998 | 0.504991 | − | 0.863125i | \(-0.331496\pi\) | ||||
0.504991 | + | 0.863125i | \(0.331496\pi\) | |||||||
\(308\) | 0.667078 | − | 0.749598i | 0.0380103 | − | 0.0427123i | ||||
\(309\) | 19.8478 | − | 0.822595i | 1.12910 | − | 0.0467958i | ||||
\(310\) | −1.18963 | + | 2.06050i | −0.0675666 | + | 0.117029i | ||||
\(311\) | 16.4249 | 0.931372 | 0.465686 | − | 0.884950i | \(-0.345808\pi\) | ||||
0.465686 | + | 0.884950i | \(0.345808\pi\) | |||||||
\(312\) | −0.494922 | + | 0.945624i | −0.0280195 | + | 0.0535354i | ||||
\(313\) | −11.8959 | −0.672394 | −0.336197 | − | 0.941792i | \(-0.609141\pi\) | ||||
−0.336197 | + | 0.941792i | \(0.609141\pi\) | |||||||
\(314\) | −15.9599 | −0.900669 | ||||||||
\(315\) | −4.76788 | + | 6.34565i | −0.268640 | + | 0.357537i | ||||
\(316\) | 6.03527 | 0.339510 | ||||||||
\(317\) | −25.7886 | −1.44843 | −0.724216 | − | 0.689573i | \(-0.757798\pi\) | ||||
−0.724216 | + | 0.689573i | \(0.757798\pi\) | |||||||
\(318\) | 3.45490 | − | 0.143189i | 0.193741 | − | 0.00802962i | ||||
\(319\) | −2.80246 | −0.156908 | ||||||||
\(320\) | 0.500000 | − | 0.866025i | 0.0279508 | − | 0.0484123i | ||||
\(321\) | −3.72491 | + | 7.11701i | −0.207904 | + | 0.397233i | ||||
\(322\) | 7.10178 | + | 1.46636i | 0.395767 | + | 0.0817170i | ||||
\(323\) | −20.3081 | −1.12997 | ||||||||
\(324\) | −5.72387 | − | 6.94531i | −0.317993 | − | 0.385851i | ||||
\(325\) | −0.308106 | + | 0.533656i | −0.0170907 | + | 0.0296019i | ||||
\(326\) | 3.60765 | + | 6.24864i | 0.199810 | + | 0.346080i | ||||
\(327\) | 23.4676 | − | 0.972617i | 1.29776 | − | 0.0537858i | ||||
\(328\) | 3.63844 | + | 6.30196i | 0.200899 | + | 0.347968i | ||||
\(329\) | 6.19595 | + | 18.6980i | 0.341594 | + | 1.03085i | ||||
\(330\) | 0.351729 | + | 0.554808i | 0.0193620 | + | 0.0305412i | ||||
\(331\) | −0.0260656 | −0.00143269 | −0.000716347 | − | 1.00000i | \(-0.500228\pi\) | ||||
−0.000716347 | 1.00000i | \(0.500228\pi\) | ||||||||
\(332\) | 4.29143 | − | 7.43298i | 0.235523 | − | 0.407938i | ||||
\(333\) | −23.8594 | + | 1.98112i | −1.30749 | + | 0.108564i | ||||
\(334\) | −5.11565 | − | 8.86057i | −0.279916 | − | 0.484829i | ||||
\(335\) | 6.70314 | − | 11.6102i | 0.366232 | − | 0.634332i | ||||
\(336\) | −2.90209 | + | 3.54653i | −0.158322 | + | 0.193479i | ||||
\(337\) | −9.33400 | − | 16.1670i | −0.508455 | − | 0.880671i | −0.999952 | − | 0.00979108i | \(-0.996883\pi\) |
0.491497 | − | 0.870879i | \(-0.336450\pi\) | |||||||
\(338\) | −6.31014 | + | 10.9295i | −0.343226 | + | 0.594486i | ||||
\(339\) | 12.5102 | − | 23.9027i | 0.679462 | − | 1.29822i | ||||
\(340\) | 1.97521 | + | 3.42117i | 0.107121 | + | 0.185539i | ||||
\(341\) | −0.451185 | − | 0.781476i | −0.0244330 | − | 0.0423193i | ||||
\(342\) | 15.3693 | − | 1.27616i | 0.831078 | − | 0.0690068i | ||||
\(343\) | −15.1711 | − | 10.6225i | −0.819162 | − | 0.573563i | ||||
\(344\) | 2.57500 | − | 4.46002i | 0.138834 | − | 0.240468i | ||||
\(345\) | −2.20136 | + | 4.20603i | −0.118517 | + | 0.226445i | ||||
\(346\) | −4.25750 | −0.228885 | ||||||||
\(347\) | −33.8993 | −1.81981 | −0.909904 | − | 0.414819i | \(-0.863845\pi\) | ||||
−0.909904 | + | 0.414819i | \(0.863845\pi\) | |||||||
\(348\) | 12.7875 | − | 0.529979i | 0.685481 | − | 0.0284098i | ||||
\(349\) | 3.64339 | − | 6.31054i | 0.195026 | − | 0.337796i | −0.751883 | − | 0.659297i | \(-0.770854\pi\) |
0.946909 | + | 0.321501i | \(0.104187\pi\) | |||||||
\(350\) | −1.75887 | + | 1.97645i | −0.0940157 | + | 0.105646i | ||||
\(351\) | 1.93231 | + | 2.55314i | 0.103139 | + | 0.136277i | ||||
\(352\) | 0.189632 | + | 0.328453i | 0.0101074 | + | 0.0175066i | ||||
\(353\) | −2.78042 | − | 4.81582i | −0.147987 | − | 0.256320i | 0.782497 | − | 0.622655i | \(-0.213946\pi\) |
−0.930483 | + | 0.366335i | \(0.880613\pi\) | |||||||
\(354\) | −0.214934 | − | 0.339032i | −0.0114236 | − | 0.0180194i | ||||
\(355\) | −5.64348 | + | 9.77479i | −0.299525 | + | 0.518792i | ||||
\(356\) | 6.26653 | + | 10.8540i | 0.332126 | + | 0.575258i | ||||
\(357\) | −6.40105 | − | 16.9337i | −0.338779 | − | 0.896226i | ||||
\(358\) | −1.87410 | + | 3.24604i | −0.0990495 | + | 0.171559i | ||||
\(359\) | 0.698378 | + | 1.20963i | 0.0368590 | + | 0.0638416i | 0.883866 | − | 0.467739i | \(-0.154931\pi\) |
−0.847007 | + | 0.531581i | \(0.821598\pi\) | |||||||
\(360\) | −1.70984 | − | 2.46504i | −0.0901166 | − | 0.129919i | ||||
\(361\) | −3.71361 | + | 6.43217i | −0.195453 | + | 0.338535i | ||||
\(362\) | −19.5320 | −1.02658 | ||||||||
\(363\) | 18.7873 | − | 0.778641i | 0.986077 | − | 0.0408680i | ||||
\(364\) | 1.08384 | − | 1.21791i | 0.0568086 | − | 0.0638361i | ||||
\(365\) | 3.58534 | + | 6.20999i | 0.187665 | + | 0.325046i | ||||
\(366\) | 10.6981 | + | 16.8749i | 0.559200 | + | 0.882067i | ||||
\(367\) | 14.0446 | + | 24.3260i | 0.733123 | + | 1.26981i | 0.955542 | + | 0.294855i | \(0.0952713\pi\) |
−0.222419 | + | 0.974951i | \(0.571395\pi\) | |||||||
\(368\) | −1.37042 | + | 2.37364i | −0.0714381 | + | 0.123734i | ||||
\(369\) | 21.7558 | − | 1.80644i | 1.13256 | − | 0.0940397i | ||||
\(370\) | −7.98051 | −0.414887 | ||||||||
\(371\) | −5.17286 | − | 1.06808i | −0.268561 | − | 0.0554519i | ||||
\(372\) | 2.20652 | + | 3.48051i | 0.114403 | + | 0.180456i | ||||
\(373\) | −5.61261 | + | 9.72133i | −0.290610 | + | 0.503352i | −0.973954 | − | 0.226745i | \(-0.927192\pi\) |
0.683344 | + | 0.730097i | \(0.260525\pi\) | |||||||
\(374\) | −1.49826 | −0.0774730 | ||||||||
\(375\) | −0.927397 | − | 1.46285i | −0.0478906 | − | 0.0755413i | ||||
\(376\) | −7.44508 | −0.383951 | ||||||||
\(377\) | −4.55332 | −0.234508 | ||||||||
\(378\) | 5.90847 | + | 12.4133i | 0.303899 | + | 0.638471i | ||||
\(379\) | −13.2661 | −0.681435 | −0.340718 | − | 0.940166i | \(-0.610670\pi\) | ||||
−0.340718 | + | 0.940166i | \(0.610670\pi\) | |||||||
\(380\) | 5.14074 | 0.263715 | ||||||||
\(381\) | 7.95285 | + | 12.5446i | 0.407437 | + | 0.642680i | ||||
\(382\) | −7.73641 | −0.395829 | ||||||||
\(383\) | −8.76220 | + | 15.1766i | −0.447727 | + | 0.775487i | −0.998238 | − | 0.0593417i | \(-0.981100\pi\) |
0.550510 | + | 0.834828i | \(0.314433\pi\) | |||||||
\(384\) | −0.927397 | − | 1.46285i | −0.0473260 | − | 0.0746508i | ||||
\(385\) | −0.315632 | − | 0.952506i | −0.0160861 | − | 0.0485442i | ||||
\(386\) | −1.20249 | −0.0612050 | ||||||||
\(387\) | −8.80567 | − | 12.6950i | −0.447617 | − | 0.645321i | ||||
\(388\) | −0.792120 | + | 1.37199i | −0.0402138 | + | 0.0696523i | ||||
\(389\) | −4.71220 | − | 8.16178i | −0.238918 | − | 0.413818i | 0.721486 | − | 0.692429i | \(-0.243459\pi\) |
−0.960404 | + | 0.278611i | \(0.910126\pi\) | |||||||
\(390\) | 0.571473 | + | 0.901427i | 0.0289377 | + | 0.0456455i | ||||
\(391\) | −5.41375 | − | 9.37689i | −0.273785 | − | 0.474210i | ||||
\(392\) | 5.61482 | − | 4.18017i | 0.283591 | − | 0.211131i | ||||
\(393\) | 23.9140 | − | 0.991119i | 1.20630 | − | 0.0499953i | ||||
\(394\) | 18.2839 | 0.921132 | ||||||||
\(395\) | 3.01763 | − | 5.22670i | 0.151834 | − | 0.262984i | ||||
\(396\) | 1.13389 | − | 0.0941502i | 0.0569802 | − | 0.00473122i | ||||
\(397\) | 3.03378 | + | 5.25466i | 0.152261 | + | 0.263724i | 0.932058 | − | 0.362308i | \(-0.118011\pi\) |
−0.779797 | + | 0.626032i | \(0.784678\pi\) | |||||||
\(398\) | 4.34213 | − | 7.52079i | 0.217651 | − | 0.376983i | ||||
\(399\) | −23.2486 | − | 3.80423i | −1.16389 | − | 0.190450i | ||||
\(400\) | −0.500000 | − | 0.866025i | −0.0250000 | − | 0.0433013i | ||||
\(401\) | 19.5894 | − | 33.9298i | 0.978246 | − | 1.69437i | 0.309466 | − | 0.950910i | \(-0.399850\pi\) |
0.668779 | − | 0.743461i | \(-0.266817\pi\) | |||||||
\(402\) | −12.4329 | − | 19.6114i | −0.620099 | − | 0.978128i | ||||
\(403\) | −0.733066 | − | 1.26971i | −0.0365166 | − | 0.0632486i | ||||
\(404\) | 6.03331 | + | 10.4500i | 0.300168 | + | 0.519907i | ||||
\(405\) | −8.87675 | + | 1.48436i | −0.441089 | + | 0.0737583i | ||||
\(406\) | −19.1461 | − | 3.95324i | −0.950206 | − | 0.196196i | ||||
\(407\) | 1.51336 | − | 2.62122i | 0.0750146 | − | 0.129929i | ||||
\(408\) | 6.83647 | − | 0.283338i | 0.338456 | − | 0.0140273i | ||||
\(409\) | 0.807364 | 0.0399216 | 0.0199608 | − | 0.999801i | \(-0.493646\pi\) | ||||
0.0199608 | + | 0.999801i | \(0.493646\pi\) | |||||||
\(410\) | 7.27688 | 0.359380 | ||||||||
\(411\) | 7.49324 | − | 14.3170i | 0.369614 | − | 0.706204i | ||||
\(412\) | 5.73449 | − | 9.93243i | 0.282518 | − | 0.489336i | ||||
\(413\) | 0.192876 | + | 0.582058i | 0.00949083 | + | 0.0286412i | ||||
\(414\) | 4.68640 | + | 6.75630i | 0.230324 | + | 0.332054i | ||||
\(415\) | −4.29143 | − | 7.43298i | −0.210658 | − | 0.364871i | ||||
\(416\) | 0.308106 | + | 0.533656i | 0.0151061 | + | 0.0261646i | ||||
\(417\) | 7.83176 | − | 14.9638i | 0.383523 | − | 0.732779i | ||||
\(418\) | −0.974850 | + | 1.68849i | −0.0476815 | + | 0.0825868i | ||||
\(419\) | 15.1172 | + | 26.1838i | 0.738524 | + | 1.27916i | 0.953160 | + | 0.302467i | \(0.0978104\pi\) |
−0.214635 | + | 0.976694i | \(0.568856\pi\) | |||||||
\(420\) | 1.62034 | + | 4.28655i | 0.0790646 | + | 0.209162i | ||||
\(421\) | −13.5938 | + | 23.5451i | −0.662519 | + | 1.14752i | 0.317432 | + | 0.948281i | \(0.397179\pi\) |
−0.979951 | + | 0.199236i | \(0.936154\pi\) | |||||||
\(422\) | 7.54299 | + | 13.0648i | 0.367187 | + | 0.635987i | ||||
\(423\) | −9.52873 | + | 20.2006i | −0.463303 | + | 0.982189i | ||||
\(424\) | 0.998199 | − | 1.72893i | 0.0484769 | − | 0.0839644i | ||||
\(425\) | 3.95043 | 0.191624 | ||||||||
\(426\) | 10.4675 | + | 16.5111i | 0.507152 | + | 0.799968i | ||||
\(427\) | −9.60021 | − | 28.9713i | −0.464587 | − | 1.40202i | ||||
\(428\) | 2.31889 | + | 4.01643i | 0.112088 | + | 0.194141i | ||||
\(429\) | −0.404446 | + | 0.0167623i | −0.0195268 | + | 0.000809291i | ||||
\(430\) | −2.57500 | − | 4.46002i | −0.124177 | − | 0.215081i | ||||
\(431\) | −18.3346 | + | 31.7564i | −0.883145 | + | 1.52965i | −0.0353190 | + | 0.999376i | \(0.511245\pi\) |
−0.847826 | + | 0.530275i | \(0.822089\pi\) | |||||||
\(432\) | −5.15609 | + | 0.644035i | −0.248072 | + | 0.0309861i | ||||
\(433\) | −24.3601 | −1.17067 | −0.585336 | − | 0.810791i | \(-0.699037\pi\) | ||||
−0.585336 | + | 0.810791i | \(0.699037\pi\) | |||||||
\(434\) | −1.98007 | − | 5.97542i | −0.0950466 | − | 0.286829i | ||||
\(435\) | 5.93477 | − | 11.3393i | 0.284550 | − | 0.543677i | ||||
\(436\) | 6.78033 | − | 11.7439i | 0.324719 | − | 0.562430i | ||||
\(437\) | −14.0900 | −0.674014 | ||||||||
\(438\) | 12.4093 | − | 0.514306i | 0.592941 | − | 0.0245745i | ||||
\(439\) | 22.4590 | 1.07191 | 0.535956 | − | 0.844246i | \(-0.319951\pi\) | ||||
0.535956 | + | 0.844246i | \(0.319951\pi\) | |||||||
\(440\) | 0.379264 | 0.0180807 | ||||||||
\(441\) | −4.15578 | − | 20.5847i | −0.197894 | − | 0.980223i | ||||
\(442\) | −2.43430 | −0.115788 | ||||||||
\(443\) | −18.5159 | −0.879718 | −0.439859 | − | 0.898067i | \(-0.644972\pi\) | ||||
−0.439859 | + | 0.898067i | \(0.644972\pi\) | |||||||
\(444\) | −6.40969 | + | 12.2467i | −0.304191 | + | 0.581202i | ||||
\(445\) | 12.5331 | 0.594124 | ||||||||
\(446\) | −11.1346 | + | 19.2857i | −0.527240 | + | 0.913206i | ||||
\(447\) | 10.8229 | − | 0.448557i | 0.511907 | − | 0.0212160i | ||||
\(448\) | 0.832221 | + | 2.51146i | 0.0393188 | + | 0.118655i | ||||
\(449\) | −27.6845 | −1.30651 | −0.653257 | − | 0.757136i | \(-0.726598\pi\) | ||||
−0.653257 | + | 0.757136i | \(0.726598\pi\) | |||||||
\(450\) | −2.98971 | + | 0.248244i | −0.140936 | + | 0.0117023i | ||||
\(451\) | −1.37993 | + | 2.39011i | −0.0649784 | + | 0.112546i | ||||
\(452\) | −7.78805 | − | 13.4893i | −0.366319 | − | 0.634483i | ||||
\(453\) | 17.6609 | − | 33.7439i | 0.829783 | − | 1.58543i | ||||
\(454\) | 1.45201 | + | 2.51496i | 0.0681463 | + | 0.118033i | ||||
\(455\) | −0.512825 | − | 1.54759i | −0.0240416 | − | 0.0725521i | ||||
\(456\) | 4.12888 | − | 7.88885i | 0.193353 | − | 0.369429i | ||||
\(457\) | −11.3805 | −0.532355 | −0.266178 | − | 0.963924i | \(-0.585761\pi\) | ||||
−0.266178 | + | 0.963924i | \(0.585761\pi\) | |||||||
\(458\) | 7.40450 | − | 12.8250i | 0.345989 | − | 0.599271i | ||||
\(459\) | 7.98102 | − | 18.9120i | 0.372522 | − | 0.882735i | ||||
\(460\) | 1.37042 | + | 2.37364i | 0.0638962 | + | 0.110671i | ||||
\(461\) | −11.2662 | + | 19.5136i | −0.524720 | + | 0.908841i | 0.474866 | + | 0.880058i | \(0.342496\pi\) |
−0.999586 | + | 0.0287830i | \(0.990837\pi\) | |||||||
\(462\) | −1.71520 | − | 0.280661i | −0.0797982 | − | 0.0130576i | ||||
\(463\) | −8.51644 | − | 14.7509i | −0.395793 | − | 0.685533i | 0.597409 | − | 0.801936i | \(-0.296197\pi\) |
−0.993202 | + | 0.116404i | \(0.962863\pi\) | |||||||
\(464\) | 3.69460 | − | 6.39923i | 0.171517 | − | 0.297077i | ||||
\(465\) | 4.11747 | − | 0.170649i | 0.190943 | − | 0.00791366i | ||||
\(466\) | −9.63735 | − | 16.6924i | −0.446442 | − | 0.773260i | ||||
\(467\) | 3.14018 | + | 5.43895i | 0.145310 | + | 0.251685i | 0.929489 | − | 0.368851i | \(-0.120249\pi\) |
−0.784178 | + | 0.620535i | \(0.786915\pi\) | |||||||
\(468\) | 1.84230 | − | 0.152971i | 0.0851602 | − | 0.00707109i | ||||
\(469\) | 11.1570 | + | 33.6693i | 0.515182 | + | 1.55470i | ||||
\(470\) | −3.72254 | + | 6.44763i | −0.171708 | + | 0.297407i | ||||
\(471\) | 14.8012 | + | 23.3470i | 0.682001 | + | 1.07577i | ||||
\(472\) | −0.231761 | −0.0106677 | ||||||||
\(473\) | 1.95321 | 0.0898086 | ||||||||
\(474\) | −5.59709 | − | 8.82870i | −0.257083 | − | 0.405516i | ||||
\(475\) | 2.57037 | − | 4.45201i | 0.117937 | − | 0.204272i | ||||
\(476\) | −10.2359 | − | 2.11349i | −0.469163 | − | 0.0968717i | ||||
\(477\) | −3.41353 | − | 4.92121i | −0.156295 | − | 0.225327i | ||||
\(478\) | −5.41490 | − | 9.37888i | −0.247672 | − | 0.428980i | ||||
\(479\) | −1.48483 | − | 2.57181i | −0.0678438 | − | 0.117509i | 0.830108 | − | 0.557602i | \(-0.188279\pi\) |
−0.897952 | + | 0.440093i | \(0.854945\pi\) | |||||||
\(480\) | −1.73057 | + | 0.0717234i | −0.0789891 | + | 0.00327371i | ||||
\(481\) | 2.45884 | − | 4.25884i | 0.112114 | − | 0.194187i | ||||
\(482\) | −3.49332 | − | 6.05061i | −0.159116 | − | 0.275598i | ||||
\(483\) | −4.44110 | − | 11.7487i | −0.202077 | − | 0.534587i | ||||
\(484\) | 5.42808 | − | 9.40171i | 0.246731 | − | 0.427350i | ||||
\(485\) | 0.792120 | + | 1.37199i | 0.0359683 | + | 0.0622989i | ||||
\(486\) | −4.85167 | + | 14.8142i | −0.220076 | + | 0.671987i | ||||
\(487\) | 7.50526 | − | 12.9995i | 0.340096 | − | 0.589063i | −0.644354 | − | 0.764727i | \(-0.722874\pi\) |
0.984450 | + | 0.175664i | \(0.0562071\pi\) | |||||||
\(488\) | 11.5356 | 0.522194 | ||||||||
\(489\) | 5.79511 | − | 11.0724i | 0.262064 | − | 0.500713i | ||||
\(490\) | −0.812728 | − | 6.95266i | −0.0367153 | − | 0.314089i | ||||
\(491\) | −6.41840 | − | 11.1170i | −0.289658 | − | 0.501703i | 0.684070 | − | 0.729417i | \(-0.260208\pi\) |
−0.973728 | + | 0.227714i | \(0.926875\pi\) | |||||||
\(492\) | 5.84456 | − | 11.1669i | 0.263493 | − | 0.503444i | ||||
\(493\) | 14.5953 | + | 25.2797i | 0.657337 | + | 1.13854i | ||||
\(494\) | −1.58389 | + | 2.74339i | −0.0712628 | + | 0.123431i | ||||
\(495\) | 0.485409 | − | 1.02905i | 0.0218175 | − | 0.0462525i | ||||
\(496\) | 2.37926 | 0.106832 | ||||||||
\(497\) | −9.39325 | − | 28.3467i | −0.421345 | − | 1.27152i | ||||
\(498\) | −14.8532 | + | 0.615593i | −0.665588 | + | 0.0275854i | ||||
\(499\) | 11.6783 | − | 20.2273i | 0.522791 | − | 0.905500i | −0.476857 | − | 0.878981i | \(-0.658224\pi\) |
0.999648 | − | 0.0265196i | \(-0.00844245\pi\) | |||||||
\(500\) | −1.00000 | −0.0447214 | ||||||||
\(501\) | −8.21746 | + | 15.7007i | −0.367129 | + | 0.701456i | ||||
\(502\) | −17.4193 | −0.777463 | ||||||||
\(503\) | 18.9067 | 0.843007 | 0.421503 | − | 0.906827i | \(-0.361503\pi\) | ||||
0.421503 | + | 0.906827i | \(0.361503\pi\) | |||||||
\(504\) | 7.87944 | + | 0.956281i | 0.350978 | + | 0.0425961i | ||||
\(505\) | 12.0666 | 0.536958 | ||||||||
\(506\) | −1.03950 | −0.0462116 | ||||||||
\(507\) | 21.8402 | − | 0.905170i | 0.969958 | − | 0.0402000i | ||||
\(508\) | 8.57545 | 0.380474 | ||||||||
\(509\) | −17.4056 | + | 30.1473i | −0.771487 | + | 1.33626i | 0.165260 | + | 0.986250i | \(0.447154\pi\) |
−0.936748 | + | 0.350005i | \(0.886180\pi\) | |||||||
\(510\) | 3.17286 | − | 6.06223i | 0.140497 | − | 0.268440i | ||||
\(511\) | −18.5799 | − | 3.83634i | −0.821927 | − | 0.169709i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −16.1203 | − | 21.2996i | −0.711729 | − | 0.940398i | ||||
\(514\) | 6.55702 | − | 11.3571i | 0.289218 | − | 0.500940i | ||||
\(515\) | −5.73449 | − | 9.93243i | −0.252692 | − | 0.437675i | ||||
\(516\) | −8.91240 | + | 0.369375i | −0.392346 | + | 0.0162608i | ||||
\(517\) | −1.41183 | − | 2.44535i | −0.0620920 | − | 0.107547i | ||||
\(518\) | 14.0367 | − | 15.7731i | 0.616738 | − | 0.693030i | ||||
\(519\) | 3.94839 | + | 6.22809i | 0.173315 | + | 0.273383i | ||||
\(520\) | 0.616212 | 0.0270227 | ||||||||
\(521\) | 17.3804 | − | 30.1037i | 0.761449 | − | 1.31887i | −0.180655 | − | 0.983546i | \(-0.557822\pi\) |
0.942104 | − | 0.335321i | \(-0.108845\pi\) | |||||||
\(522\) | −12.6344 | − | 18.2147i | −0.552991 | − | 0.797236i | ||||
\(523\) | −15.7294 | − | 27.2442i | −0.687800 | − | 1.19130i | −0.972548 | − | 0.232702i | \(-0.925243\pi\) |
0.284748 | − | 0.958602i | \(-0.408090\pi\) | |||||||
\(524\) | 6.90931 | − | 11.9673i | 0.301835 | − | 0.522793i | ||||
\(525\) | 4.52243 | + | 0.740015i | 0.197375 | + | 0.0322969i | ||||
\(526\) | −2.40150 | − | 4.15951i | −0.104710 | − | 0.181363i | ||||
\(527\) | −4.69956 | + | 8.13987i | −0.204716 | + | 0.354578i | ||||
\(528\) | 0.304613 | − | 0.582010i | 0.0132566 | − | 0.0253287i | ||||
\(529\) | 7.74389 | + | 13.4128i | 0.336691 | + | 0.583166i | ||||
\(530\) | −0.998199 | − | 1.72893i | −0.0433590 | − | 0.0751000i | ||||
\(531\) | −0.296624 | + | 0.628835i | −0.0128724 | + | 0.0272891i | ||||
\(532\) | −9.04192 | + | 10.1604i | −0.392017 | + | 0.440511i | ||||
\(533\) | −2.24205 | + | 3.88335i | −0.0971140 | + | 0.168206i | ||||
\(534\) | 10.0662 | − | 19.2329i | 0.435605 | − | 0.832290i | ||||
\(535\) | 4.63777 | 0.200508 | ||||||||
\(536\) | −13.4063 | −0.579063 | ||||||||
\(537\) | 6.48652 | − | 0.268834i | 0.279914 | − | 0.0116011i | ||||
\(538\) | 4.56270 | − | 7.90283i | 0.196712 | − | 0.340715i | ||||
\(539\) | 2.43774 | + | 1.05151i | 0.105001 | + | 0.0452916i | ||||
\(540\) | −2.02029 | + | 4.78732i | −0.0869395 | + | 0.206013i | ||||
\(541\) | −14.7606 | − | 25.5662i | −0.634609 | − | 1.09918i | −0.986598 | − | 0.163171i | \(-0.947828\pi\) |
0.351989 | − | 0.936004i | \(-0.385506\pi\) | |||||||
\(542\) | 13.2680 | + | 22.9808i | 0.569909 | + | 0.987112i | ||||
\(543\) | 18.1139 | + | 28.5724i | 0.777341 | + | 1.22616i | ||||
\(544\) | 1.97521 | − | 3.42117i | 0.0846866 | − | 0.146682i | ||||
\(545\) | −6.78033 | − | 11.7439i | −0.290437 | − | 0.503052i | ||||
\(546\) | −2.78678 | − | 0.456007i | −0.119263 | − | 0.0195153i | ||||
\(547\) | 10.2744 | − | 17.7958i | 0.439301 | − | 0.760892i | −0.558334 | − | 0.829616i | \(-0.688559\pi\) |
0.997636 | + | 0.0687237i | \(0.0218927\pi\) | |||||||
\(548\) | −4.66480 | − | 8.07967i | −0.199270 | − | 0.345147i | ||||
\(549\) | 14.7641 | − | 31.2995i | 0.630117 | − | 1.33583i | ||||
\(550\) | 0.189632 | − | 0.328453i | 0.00808594 | − | 0.0140053i | ||||
\(551\) | 37.9860 | 1.61826 | ||||||||
\(552\) | 4.74320 | − | 0.196583i | 0.201884 | − | 0.00836711i | ||||
\(553\) | 5.02268 | + | 15.1573i | 0.213586 | + | 0.644554i | ||||
\(554\) | −1.17060 | − | 2.02754i | −0.0497342 | − | 0.0861421i | ||||
\(555\) | 7.40110 | + | 11.6743i | 0.314159 | + | 0.495547i | ||||
\(556\) | −4.87554 | − | 8.44469i | −0.206769 | − | 0.358135i | ||||
\(557\) | −12.1130 | + | 20.9803i | −0.513243 | + | 0.888963i | 0.486639 | + | 0.873603i | \(0.338223\pi\) |
−0.999882 | + | 0.0153595i | \(0.995111\pi\) | |||||||
\(558\) | 3.04515 | − | 6.45563i | 0.128911 | − | 0.273289i | ||||
\(559\) | 3.17349 | 0.134224 | ||||||||
\(560\) | 2.59109 | + | 0.535003i | 0.109494 | + | 0.0226080i | ||||
\(561\) | 1.38948 | + | 2.19173i | 0.0586638 | + | 0.0925348i | ||||
\(562\) | −8.99372 | + | 15.5776i | −0.379377 | + | 0.657100i | ||||
\(563\) | −14.5914 | −0.614954 | −0.307477 | − | 0.951556i | \(-0.599485\pi\) | ||||
−0.307477 | + | 0.951556i | \(0.599485\pi\) | |||||||
\(564\) | 6.90454 | + | 10.8910i | 0.290734 | + | 0.458596i | ||||
\(565\) | −15.5761 | −0.655291 | ||||||||
\(566\) | 7.92530 | 0.333125 | ||||||||
\(567\) | 12.6793 | − | 20.1553i | 0.532481 | − | 0.846442i | ||||
\(568\) | 11.2870 | 0.473590 | ||||||||
\(569\) | 6.71655 | 0.281572 | 0.140786 | − | 0.990040i | \(-0.455037\pi\) | ||||
0.140786 | + | 0.990040i | \(0.455037\pi\) | |||||||
\(570\) | −4.76751 | − | 7.52014i | −0.199689 | − | 0.314984i | ||||
\(571\) | −35.8252 | −1.49924 | −0.749619 | − | 0.661870i | \(-0.769763\pi\) | ||||
−0.749619 | + | 0.661870i | \(0.769763\pi\) | |||||||
\(572\) | −0.116854 | + | 0.202397i | −0.00488590 | + | 0.00846263i | ||||
\(573\) | 7.17472 | + | 11.3172i | 0.299728 | + | 0.472783i | ||||
\(574\) | −12.7991 | + | 14.3824i | −0.534225 | + | 0.600310i | ||||
\(575\) | 2.74084 | 0.114301 | ||||||||
\(576\) | −1.27987 | + | 2.71329i | −0.0533279 | + | 0.113054i | ||||
\(577\) | −5.90753 | + | 10.2321i | −0.245934 | + | 0.425970i | −0.962394 | − | 0.271659i | \(-0.912428\pi\) |
0.716460 | + | 0.697628i | \(0.245761\pi\) | |||||||
\(578\) | −0.697058 | − | 1.20734i | −0.0289938 | − | 0.0502187i | ||||
\(579\) | 1.11518 | + | 1.75906i | 0.0463454 | + | 0.0731040i | ||||
\(580\) | −3.69460 | − | 6.39923i | −0.153410 | − | 0.265714i | ||||
\(581\) | 22.2390 | + | 4.59186i | 0.922630 | + | 0.190503i | ||||
\(582\) | 2.74163 | − | 0.113627i | 0.113644 | − | 0.00471000i | ||||
\(583\) | 0.757163 | 0.0313585 | ||||||||
\(584\) | 3.58534 | − | 6.20999i | 0.148362 | − | 0.256971i | ||||
\(585\) | 0.788672 | − | 1.67196i | 0.0326076 | − | 0.0691271i | ||||
\(586\) | −13.3538 | − | 23.1294i | −0.551639 | − | 0.955466i | ||||
\(587\) | −7.21091 | + | 12.4897i | −0.297626 | + | 0.515503i | −0.975592 | − | 0.219590i | \(-0.929528\pi\) |
0.677966 | + | 0.735093i | \(0.262862\pi\) | |||||||
\(588\) | −11.3221 | − | 4.33696i | −0.466917 | − | 0.178853i | ||||
\(589\) | 6.11559 | + | 10.5925i | 0.251989 | + | 0.436457i | ||||
\(590\) | −0.115881 | + | 0.200711i | −0.00477073 | + | 0.00826314i | ||||
\(591\) | −16.9565 | − | 26.7467i | −0.697496 | − | 1.10021i | ||||
\(592\) | 3.99026 | + | 6.91133i | 0.163998 | + | 0.284054i | ||||
\(593\) | −15.5047 | − | 26.8549i | −0.636701 | − | 1.10280i | −0.986152 | − | 0.165844i | \(-0.946965\pi\) |
0.349451 | − | 0.936955i | \(-0.386368\pi\) | |||||||
\(594\) | −1.18929 | − | 1.57140i | −0.0487974 | − | 0.0644753i | ||||
\(595\) | −6.94830 | + | 7.80783i | −0.284853 | + | 0.320090i | ||||
\(596\) | 3.12699 | − | 5.41611i | 0.128087 | − | 0.221853i | ||||
\(597\) | −15.0287 | + | 0.622865i | −0.615083 | + | 0.0254922i | ||||
\(598\) | −1.68894 | −0.0690659 | ||||||||
\(599\) | 47.2701 | 1.93140 | 0.965701 | − | 0.259656i | \(-0.0836092\pi\) | ||||
0.965701 | + | 0.259656i | \(0.0836092\pi\) | |||||||
\(600\) | −0.803168 | + | 1.53458i | −0.0327892 | + | 0.0626488i | ||||
\(601\) | −21.3039 | + | 36.8994i | −0.869004 | + | 1.50516i | −0.00598892 | + | 0.999982i | \(0.501906\pi\) |
−0.863015 | + | 0.505178i | \(0.831427\pi\) | |||||||
\(602\) | 13.3441 | + | 2.75526i | 0.543866 | + | 0.112296i | ||||
\(603\) | −17.1583 | + | 36.3751i | −0.698740 | + | 1.48131i | ||||
\(604\) | −10.9945 | − | 19.0431i | −0.447361 | − | 0.774853i | ||||
\(605\) | −5.42808 | − | 9.40171i | −0.220683 | − | 0.382234i | ||||
\(606\) | 9.69153 | − | 18.5171i | 0.393691 | − | 0.752207i | ||||
\(607\) | 0.311071 | − | 0.538791i | 0.0126260 | − | 0.0218688i | −0.859643 | − | 0.510895i | \(-0.829314\pi\) |
0.872269 | + | 0.489026i | \(0.162648\pi\) | |||||||
\(608\) | −2.57037 | − | 4.45201i | −0.104242 | − | 0.180553i | ||||
\(609\) | 11.9730 | + | 31.6742i | 0.485172 | + | 1.28350i | ||||
\(610\) | 5.76782 | − | 9.99016i | 0.233532 | − | 0.404490i | ||||
\(611\) | −2.29387 | − | 3.97311i | −0.0928002 | − | 0.160735i | ||||
\(612\) | −6.75461 | − | 9.73798i | −0.273039 | − | 0.393635i | ||||
\(613\) | −16.3060 | + | 28.2428i | −0.658593 | + | 1.14072i | 0.322387 | + | 0.946608i | \(0.395515\pi\) |
−0.980980 | + | 0.194108i | \(0.937819\pi\) | |||||||
\(614\) | −17.6963 | −0.714165 | ||||||||
\(615\) | −6.74856 | − | 10.6450i | −0.272128 | − | 0.429248i | ||||
\(616\) | −0.667078 | + | 0.749598i | −0.0268773 | + | 0.0302022i | ||||
\(617\) | −5.77847 | − | 10.0086i | −0.232632 | − | 0.402931i | 0.725950 | − | 0.687748i | \(-0.241401\pi\) |
−0.958582 | + | 0.284817i | \(0.908067\pi\) | |||||||
\(618\) | −19.8478 | + | 0.822595i | −0.798397 | + | 0.0330896i | ||||
\(619\) | 15.1903 | + | 26.3104i | 0.610551 | + | 1.05750i | 0.991148 | + | 0.132764i | \(0.0423852\pi\) |
−0.380597 | + | 0.924741i | \(0.624281\pi\) | |||||||
\(620\) | 1.18963 | − | 2.06050i | 0.0477768 | − | 0.0827518i | ||||
\(621\) | 5.53730 | − | 13.1213i | 0.222204 | − | 0.526539i | ||||
\(622\) | −16.4249 | −0.658580 | ||||||||
\(623\) | −22.0441 | + | 24.7710i | −0.883177 | + | 0.992429i | ||||
\(624\) | 0.494922 | − | 0.945624i | 0.0198127 | − | 0.0378553i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 11.8959 | 0.475455 | ||||||||
\(627\) | 3.37408 | − | 0.139839i | 0.134748 | − | 0.00558464i | ||||
\(628\) | 15.9599 | 0.636869 | ||||||||
\(629\) | −31.5264 | −1.25704 | ||||||||
\(630\) | 4.76788 | − | 6.34565i | 0.189957 | − | 0.252817i | ||||
\(631\) | 38.4859 | 1.53210 | 0.766050 | − | 0.642781i | \(-0.222219\pi\) | ||||
0.766050 | + | 0.642781i | \(0.222219\pi\) | |||||||
\(632\) | −6.03527 | −0.240070 | ||||||||
\(633\) | 12.1166 | − | 23.1506i | 0.481591 | − | 0.920153i | ||||
\(634\) | 25.7886 | 1.02420 | ||||||||
\(635\) | 4.28773 | − | 7.42656i | 0.170153 | − | 0.294714i | ||||
\(636\) | −3.45490 | + | 0.143189i | −0.136996 | + | 0.00567780i | ||||
\(637\) | 3.96073 | + | 1.70844i | 0.156930 | + | 0.0676909i | ||||
\(638\) | 2.80246 | 0.110950 | ||||||||
\(639\) | 14.4458 | − | 30.6248i | 0.571469 | − | 1.21150i | ||||
\(640\) | −0.500000 | + | 0.866025i | −0.0197642 | + | 0.0342327i | ||||
\(641\) | 24.1078 | + | 41.7559i | 0.952201 | + | 1.64926i | 0.740647 | + | 0.671894i | \(0.234519\pi\) |
0.211553 | + | 0.977366i | \(0.432148\pi\) | |||||||
\(642\) | 3.72491 | − | 7.11701i | 0.147011 | − | 0.280886i | ||||
\(643\) | 13.1515 | + | 22.7790i | 0.518643 | + | 0.898316i | 0.999765 | + | 0.0216625i | \(0.00689593\pi\) |
−0.481122 | + | 0.876653i | \(0.659771\pi\) | |||||||
\(644\) | −7.10178 | − | 1.46636i | −0.279849 | − | 0.0577826i | ||||
\(645\) | −4.13631 | + | 7.90305i | −0.162867 | + | 0.311182i | ||||
\(646\) | 20.3081 | 0.799013 | ||||||||
\(647\) | 10.4110 | − | 18.0323i | 0.409298 | − | 0.708924i | −0.585514 | − | 0.810663i | \(-0.699107\pi\) |
0.994811 | + | 0.101738i | \(0.0324404\pi\) | |||||||
\(648\) | 5.72387 | + | 6.94531i | 0.224855 | + | 0.272838i | ||||
\(649\) | −0.0439494 | − | 0.0761225i | −0.00172516 | − | 0.00298807i | ||||
\(650\) | 0.308106 | − | 0.533656i | 0.0120849 | − | 0.0209317i | ||||
\(651\) | −6.90483 | + | 8.43814i | −0.270622 | + | 0.330717i | ||||
\(652\) | −3.60765 | − | 6.24864i | −0.141287 | − | 0.244716i | ||||
\(653\) | 11.4960 | − | 19.9117i | 0.449874 | − | 0.779205i | −0.548503 | − | 0.836148i | \(-0.684802\pi\) |
0.998377 | + | 0.0569437i | \(0.0181356\pi\) | |||||||
\(654\) | −23.4676 | + | 0.972617i | −0.917656 | + | 0.0380323i | ||||
\(655\) | −6.90931 | − | 11.9673i | −0.269969 | − | 0.467600i | ||||
\(656\) | −3.63844 | − | 6.30196i | −0.142057 | − | 0.246050i | ||||
\(657\) | −12.2607 | − | 17.6760i | −0.478336 | − | 0.689608i | ||||
\(658\) | −6.19595 | − | 18.6980i | −0.241543 | − | 0.728923i | ||||
\(659\) | 1.13866 | − | 1.97221i | 0.0443557 | − | 0.0768263i | −0.842995 | − | 0.537921i | \(-0.819210\pi\) |
0.887351 | + | 0.461095i | \(0.152543\pi\) | |||||||
\(660\) | −0.351729 | − | 0.554808i | −0.0136910 | − | 0.0215959i | ||||
\(661\) | 49.2670 | 1.91626 | 0.958132 | − | 0.286326i | \(-0.0924340\pi\) | ||||
0.958132 | + | 0.286326i | \(0.0924340\pi\) | |||||||
\(662\) | 0.0260656 | 0.00101307 | ||||||||
\(663\) | 2.25756 | + | 3.56102i | 0.0876766 | + | 0.138299i | ||||
\(664\) | −4.29143 | + | 7.43298i | −0.166540 | + | 0.288456i | ||||
\(665\) | 4.27823 | + | 12.9107i | 0.165903 | + | 0.500657i | ||||
\(666\) | 23.8594 | − | 1.98112i | 0.924534 | − | 0.0767666i | ||||
\(667\) | 10.1263 | + | 17.5393i | 0.392092 | + | 0.679124i | ||||
\(668\) | 5.11565 | + | 8.86057i | 0.197931 | + | 0.342826i | ||||
\(669\) | 38.5384 | − | 1.59723i | 1.48998 | − | 0.0617523i | ||||
\(670\) | −6.70314 | + | 11.6102i | −0.258965 | + | 0.448541i | ||||
\(671\) | 2.18753 | + | 3.78891i | 0.0844486 | + | 0.146269i | ||||
\(672\) | 2.90209 | − | 3.54653i | 0.111950 | − | 0.136810i | ||||
\(673\) | 23.7608 | − | 41.1550i | 0.915913 | − | 1.58641i | 0.110355 | − | 0.993892i | \(-0.464801\pi\) |
0.805559 | − | 0.592516i | \(-0.201865\pi\) | |||||||
\(674\) | 9.33400 | + | 16.1670i | 0.359532 | + | 0.622728i | ||||
\(675\) | 3.13579 | + | 4.14328i | 0.120697 | + | 0.159475i | ||||
\(676\) | 6.31014 | − | 10.9295i | 0.242698 | − | 0.420365i | ||||
\(677\) | −22.1895 | −0.852813 | −0.426406 | − | 0.904532i | \(-0.640221\pi\) | ||||
−0.426406 | + | 0.904532i | \(0.640221\pi\) | |||||||
\(678\) | −12.5102 | + | 23.9027i | −0.480452 | + | 0.917977i | ||||
\(679\) | −4.10492 | − | 0.847573i | −0.157532 | − | 0.0325269i | ||||
\(680\) | −1.97521 | − | 3.42117i | −0.0757460 | − | 0.131196i | ||||
\(681\) | 2.33242 | − | 4.45644i | 0.0893785 | − | 0.170771i | ||||
\(682\) | 0.451185 | + | 0.781476i | 0.0172768 | + | 0.0299242i | ||||
\(683\) | 9.12399 | − | 15.8032i | 0.349120 | − | 0.604693i | −0.636974 | − | 0.770886i | \(-0.719814\pi\) |
0.986093 | + | 0.166192i | \(0.0531473\pi\) | |||||||
\(684\) | −15.3693 | + | 1.27616i | −0.587661 | + | 0.0487952i | ||||
\(685\) | −9.32960 | −0.356466 | ||||||||
\(686\) | 15.1711 | + | 10.6225i | 0.579235 | + | 0.405570i | ||||
\(687\) | −25.6279 | + | 1.06215i | −0.977766 | + | 0.0405236i | ||||
\(688\) | −2.57500 | + | 4.46002i | −0.0981708 | + | 0.170037i | ||||
\(689\) | 1.23021 | 0.0468671 | ||||||||
\(690\) | 2.20136 | − | 4.20603i | 0.0838042 | − | 0.160121i | ||||
\(691\) | −26.5381 | −1.00956 | −0.504779 | − | 0.863248i | \(-0.668426\pi\) | ||||
−0.504779 | + | 0.863248i | \(0.668426\pi\) | |||||||
\(692\) | 4.25750 | 0.161846 | ||||||||
\(693\) | 1.18010 | + | 2.76936i | 0.0448284 | + | 0.105199i | ||||
\(694\) | 33.8993 | 1.28680 | ||||||||
\(695\) | −9.75109 | −0.369880 | ||||||||
\(696\) | −12.7875 | + | 0.529979i | −0.484709 | + | 0.0200888i | ||||
\(697\) | 28.7468 | 1.08886 | ||||||||
\(698\) | −3.64339 | + | 6.31054i | −0.137904 | + | 0.238858i | ||||
\(699\) | −15.4808 | + | 29.5785i | −0.585539 | + | 1.11876i | ||||
\(700\) | 1.75887 | − | 1.97645i | 0.0664792 | − | 0.0747029i | ||||
\(701\) | −11.5095 | −0.434708 | −0.217354 | − | 0.976093i | \(-0.569743\pi\) | ||||
−0.217354 | + | 0.976093i | \(0.569743\pi\) | |||||||
\(702\) | −1.93231 | − | 2.55314i | −0.0729305 | − | 0.0963622i | ||||
\(703\) | −20.5129 | + | 35.5293i | −0.773658 | + | 1.34001i | ||||
\(704\) | −0.189632 | − | 0.328453i | −0.00714703 | − | 0.0123790i | ||||
\(705\) | 12.8842 | − | 0.533986i | 0.485247 | − | 0.0201111i | ||||
\(706\) | 2.78042 | + | 4.81582i | 0.104642 | + | 0.181246i | ||||
\(707\) | −21.2237 | + | 23.8491i | −0.798198 | + | 0.896938i | ||||
\(708\) | 0.214934 | + | 0.339032i | 0.00807773 | + | 0.0127416i | ||||
\(709\) | −13.2023 | −0.495825 | −0.247912 | − | 0.968782i | \(-0.579744\pi\) | ||||
−0.247912 | + | 0.968782i | \(0.579744\pi\) | |||||||
\(710\) | 5.64348 | − | 9.77479i | 0.211796 | − | 0.366841i | ||||
\(711\) | −7.72436 | + | 16.3754i | −0.289686 | + | 0.614126i | ||||
\(712\) | −6.26653 | − | 10.8540i | −0.234848 | − | 0.406769i | ||||
\(713\) | −3.26059 | + | 5.64751i | −0.122110 | + | 0.211501i | ||||
\(714\) | 6.40105 | + | 16.9337i | 0.239553 | + | 0.633728i | ||||
\(715\) | 0.116854 | + | 0.202397i | 0.00437008 | + | 0.00756920i | ||||
\(716\) | 1.87410 | − | 3.24604i | 0.0700385 | − | 0.121310i | ||||
\(717\) | −8.69815 | + | 16.6191i | −0.324838 | + | 0.620653i | ||||
\(718\) | −0.698378 | − | 1.20963i | −0.0260632 | − | 0.0451428i | ||||
\(719\) | 21.8952 | + | 37.9237i | 0.816555 | + | 1.41431i | 0.908206 | + | 0.418523i | \(0.137452\pi\) |
−0.0916513 | + | 0.995791i | \(0.529215\pi\) | |||||||
\(720\) | 1.70984 | + | 2.46504i | 0.0637220 | + | 0.0918668i | ||||
\(721\) | 29.7172 | + | 6.13594i | 1.10673 | + | 0.228514i | ||||
\(722\) | 3.71361 | − | 6.43217i | 0.138206 | − | 0.239381i | ||||
\(723\) | −5.61145 | + | 10.7215i | −0.208692 | + | 0.398738i | ||||
\(724\) | 19.5320 | 0.725899 | ||||||||
\(725\) | −7.38920 | −0.274428 | ||||||||
\(726\) | −18.7873 | + | 0.778641i | −0.697262 | + | 0.0288981i | ||||
\(727\) | 14.4786 | − | 25.0776i | 0.536980 | − | 0.930076i | −0.462085 | − | 0.886836i | \(-0.652898\pi\) |
0.999065 | − | 0.0432406i | \(-0.0137682\pi\) | |||||||
\(728\) | −1.08384 | + | 1.21791i | −0.0401698 | + | 0.0451389i | ||||
\(729\) | 26.1704 | − | 6.64140i | 0.969275 | − | 0.245978i | ||||
\(730\) | −3.58534 | − | 6.20999i | −0.132699 | − | 0.229842i | ||||
\(731\) | −10.1723 | − | 17.6190i | −0.376237 | − | 0.651662i | ||||
\(732\) | −10.6981 | − | 16.8749i | −0.395414 | − | 0.623715i | ||||
\(733\) | −17.8667 | + | 30.9460i | −0.659920 | + | 1.14302i | 0.320715 | + | 0.947176i | \(0.396077\pi\) |
−0.980636 | + | 0.195840i | \(0.937257\pi\) | |||||||
\(734\) | −14.0446 | − | 24.3260i | −0.518396 | − | 0.897888i | ||||
\(735\) | −9.41699 | + | 7.63677i | −0.347351 | + | 0.281687i | ||||
\(736\) | 1.37042 | − | 2.37364i | 0.0505144 | − | 0.0874935i | ||||
\(737\) | −2.54226 | − | 4.40333i | −0.0936455 | − | 0.162199i | ||||
\(738\) | −21.7558 | + | 1.80644i | −0.800841 | + | 0.0664961i | ||||
\(739\) | 5.27465 | − | 9.13596i | 0.194031 | − | 0.336072i | −0.752551 | − | 0.658534i | \(-0.771177\pi\) |
0.946582 | + | 0.322462i | \(0.104510\pi\) | |||||||
\(740\) | 7.98051 | 0.293369 | ||||||||
\(741\) | 5.48206 | − | 0.227205i | 0.201389 | − | 0.00834657i | ||||
\(742\) | 5.17286 | + | 1.06808i | 0.189902 | + | 0.0392104i | ||||
\(743\) | −9.55767 | − | 16.5544i | −0.350637 | − | 0.607321i | 0.635724 | − | 0.771916i | \(-0.280702\pi\) |
−0.986361 | + | 0.164595i | \(0.947368\pi\) | |||||||
\(744\) | −2.20652 | − | 3.48051i | −0.0808950 | − | 0.127602i | ||||
\(745\) | −3.12699 | − | 5.41611i | −0.114564 | − | 0.198431i | ||||
\(746\) | 5.61261 | − | 9.72133i | 0.205492 | − | 0.355923i | ||||
\(747\) | 14.6753 | + | 21.1572i | 0.536943 | + | 0.774100i | ||||
\(748\) | 1.49826 | 0.0547817 | ||||||||
\(749\) | −8.15726 | + | 9.16634i | −0.298060 | + | 0.334931i | ||||
\(750\) | 0.927397 | + | 1.46285i | 0.0338637 | + | 0.0534158i | ||||
\(751\) | −5.66425 | + | 9.81078i | −0.206692 | + | 0.358000i | −0.950670 | − | 0.310203i | \(-0.899603\pi\) |
0.743979 | + | 0.668203i | \(0.232936\pi\) | |||||||
\(752\) | 7.44508 | 0.271494 | ||||||||
\(753\) | 16.1546 | + | 25.4819i | 0.588708 | + | 0.928612i | ||||
\(754\) | 4.55332 | 0.165822 | ||||||||
\(755\) | −21.9891 | −0.800264 | ||||||||
\(756\) | −5.90847 | − | 12.4133i | −0.214889 | − | 0.451467i | ||||
\(757\) | 11.7276 | 0.426248 | 0.213124 | − | 0.977025i | \(-0.431636\pi\) | ||||
0.213124 | + | 0.977025i | \(0.431636\pi\) | |||||||
\(758\) | 13.2661 | 0.481847 | ||||||||
\(759\) | 0.964032 | + | 1.52064i | 0.0349922 | + | 0.0551957i | ||||
\(760\) | −5.14074 | −0.186474 | ||||||||
\(761\) | 1.80014 | − | 3.11794i | 0.0652551 | − | 0.113025i | −0.831552 | − | 0.555447i | \(-0.812547\pi\) |
0.896807 | + | 0.442422i | \(0.145881\pi\) | |||||||
\(762\) | −7.95285 | − | 12.5446i | −0.288101 | − | 0.454443i | ||||
\(763\) | 35.1370 | + | 7.25499i | 1.27204 | + | 0.262648i | ||||
\(764\) | 7.73641 | 0.279893 | ||||||||
\(765\) | −11.8106 | + | 0.980671i | −0.427015 | + | 0.0354562i | ||||
\(766\) | 8.76220 | − | 15.1766i | 0.316591 | − | 0.548352i | ||||
\(767\) | −0.0714070 | − | 0.123681i | −0.00257836 | − | 0.00446585i | ||||
\(768\) | 0.927397 | + | 1.46285i | 0.0334646 | + | 0.0527861i | ||||
\(769\) | −19.2146 | − | 33.2806i | −0.692896 | − | 1.20013i | −0.970885 | − | 0.239546i | \(-0.923001\pi\) |
0.277989 | − | 0.960584i | \(-0.410332\pi\) | |||||||
\(770\) | 0.315632 | + | 0.952506i | 0.0113746 | + | 0.0343259i | ||||
\(771\) | −22.6947 | + | 0.940584i | −0.817330 | + | 0.0338743i | ||||
\(772\) | 1.20249 | 0.0432784 | ||||||||
\(773\) | 12.7904 | − | 22.1536i | 0.460038 | − | 0.796810i | −0.538924 | − | 0.842354i | \(-0.681169\pi\) |
0.998962 | + | 0.0455446i | \(0.0145023\pi\) | |||||||
\(774\) | 8.80567 | + | 12.6950i | 0.316513 | + | 0.456311i | ||||
\(775\) | −1.18963 | − | 2.06050i | −0.0427329 | − | 0.0740155i | ||||
\(776\) | 0.792120 | − | 1.37199i | 0.0284354 | − | 0.0492516i | ||||
\(777\) | −36.0913 | − | 5.90570i | −1.29477 | − | 0.211866i | ||||
\(778\) | 4.71220 | + | 8.16178i | 0.168941 | + | 0.292614i | ||||
\(779\) | 18.7043 | − | 32.3968i | 0.670150 | − | 1.16073i | ||||
\(780\) | −0.571473 | − | 0.901427i | −0.0204620 | − | 0.0322763i | ||||
\(781\) | 2.14037 | + | 3.70723i | 0.0765885 | + | 0.132655i | ||||
\(782\) | 5.41375 | + | 9.37689i | 0.193595 | + | 0.335317i | ||||
\(783\) | −14.9283 | + | 35.3745i | −0.533495 | + | 1.26418i | ||||
\(784\) | −5.61482 | + | 4.18017i | −0.200529 | + | 0.149292i | ||||
\(785\) | 7.97995 | − | 13.8217i | 0.284817 | − | 0.493317i | ||||
\(786\) | −23.9140 | + | 0.991119i | −0.852985 | + | 0.0353520i | ||||
\(787\) | −36.3100 | −1.29431 | −0.647155 | − | 0.762358i | \(-0.724041\pi\) | ||||
−0.647155 | + | 0.762358i | \(0.724041\pi\) | |||||||
\(788\) | −18.2839 | −0.651339 | ||||||||
\(789\) | −3.85761 | + | 7.37055i | −0.137335 | + | 0.262399i | ||||
\(790\) | −3.01763 | + | 5.22670i | −0.107363 | + | 0.185958i | ||||
\(791\) | 27.3964 | − | 30.7854i | 0.974103 | − | 1.09460i | ||||
\(792\) | −1.13389 | + | 0.0941502i | −0.0402911 | + | 0.00334548i | ||||
\(793\) | 3.55420 | + | 6.15606i | 0.126213 | + | 0.218608i | ||||
\(794\) | −3.03378 | − | 5.25466i | −0.107665 | − | 0.186481i | ||||
\(795\) | −1.60344 | + | 3.06362i | −0.0568683 | + | 0.108656i | ||||
\(796\) | −4.34213 | + | 7.52079i | −0.153903 | + | 0.266567i | ||||
\(797\) | −25.0226 | − | 43.3404i | −0.886345 | − | 1.53520i | −0.844164 | − | 0.536085i | \(-0.819903\pi\) |
−0.0421813 | − | 0.999110i | \(-0.513431\pi\) | |||||||
\(798\) | 23.2486 | + | 3.80423i | 0.822993 | + | 0.134668i | ||||
\(799\) | −14.7056 | + | 25.4709i | −0.520247 | + | 0.901095i | ||||
\(800\) | 0.500000 | + | 0.866025i | 0.0176777 | + | 0.0306186i | ||||
\(801\) | −37.4702 | + | 3.11126i | −1.32395 | + | 0.109931i | ||||
\(802\) | −19.5894 | + | 33.9298i | −0.691724 | + | 1.19810i | ||||
\(803\) | 2.71958 | 0.0959720 | ||||||||
\(804\) | 12.4329 | + | 19.6114i | 0.438476 | + | 0.691641i | ||||
\(805\) | −4.82079 | + | 5.41714i | −0.169911 | + | 0.190929i | ||||
\(806\) | 0.733066 | + | 1.26971i | 0.0258212 | + | 0.0447235i | ||||
\(807\) | −15.7921 | + | 0.654505i | −0.555908 | + | 0.0230397i | ||||
\(808\) | −6.03331 | − | 10.4500i | −0.212251 | − | 0.367630i | ||||
\(809\) | 19.2324 | − | 33.3115i | 0.676175 | − | 1.17117i | −0.299949 | − | 0.953955i | \(-0.596970\pi\) |
0.976124 | − | 0.217215i | \(-0.0696971\pi\) | |||||||
\(810\) | 8.87675 | − | 1.48436i | 0.311897 | − | 0.0521550i | ||||
\(811\) | −3.66567 | −0.128719 | −0.0643595 | − | 0.997927i | \(-0.520500\pi\) | ||||
−0.0643595 | + | 0.997927i | \(0.520500\pi\) | |||||||
\(812\) | 19.1461 | + | 3.95324i | 0.671897 | + | 0.138732i | ||||
\(813\) | 21.3129 | − | 40.7215i | 0.747475 | − | 1.42816i | ||||
\(814\) | −1.51336 | + | 2.62122i | −0.0530433 | + | 0.0918737i | ||||
\(815\) | −7.21531 | −0.252741 | ||||||||
\(816\) | −6.83647 | + | 0.283338i | −0.239324 | + | 0.00991882i | ||||
\(817\) | −26.4748 | −0.926235 | ||||||||
\(818\) | −0.807364 | −0.0282288 | ||||||||
\(819\) | 1.91738 | + | 4.49954i | 0.0669986 | + | 0.157227i | ||||
\(820\) | −7.27688 | −0.254120 | ||||||||
\(821\) | −49.6735 | −1.73362 | −0.866809 | − | 0.498640i | \(-0.833833\pi\) | ||||
−0.866809 | + | 0.498640i | \(0.833833\pi\) | |||||||
\(822\) | −7.49324 | + | 14.3170i | −0.261357 | + | 0.499362i | ||||
\(823\) | −23.4653 | −0.817949 | −0.408974 | − | 0.912546i | \(-0.634113\pi\) | ||||
−0.408974 | + | 0.912546i | \(0.634113\pi\) | |||||||
\(824\) | −5.73449 | + | 9.93243i | −0.199770 | + | 0.346013i | ||||
\(825\) | −0.656342 | + | 0.0272021i | −0.0228509 | + | 0.000947057i | ||||
\(826\) | −0.192876 | − | 0.582058i | −0.00671103 | − | 0.0202524i | ||||
\(827\) | −7.31763 | −0.254459 | −0.127230 | − | 0.991873i | \(-0.540608\pi\) | ||||
−0.127230 | + | 0.991873i | \(0.540608\pi\) | |||||||
\(828\) | −4.68640 | − | 6.75630i | −0.162864 | − | 0.234797i | ||||
\(829\) | −3.79583 | + | 6.57457i | −0.131835 | + | 0.228344i | −0.924384 | − | 0.381464i | \(-0.875420\pi\) |
0.792549 | + | 0.609808i | \(0.208753\pi\) | |||||||
\(830\) | 4.29143 | + | 7.43298i | 0.148958 | + | 0.258003i | ||||
\(831\) | −1.88038 | + | 3.59276i | −0.0652298 | + | 0.124631i | ||||
\(832\) | −0.308106 | − | 0.533656i | −0.0106817 | − | 0.0185012i | ||||
\(833\) | −3.21062 | − | 27.4660i | −0.111241 | − | 0.951640i | ||||
\(834\) | −7.83176 | + | 14.9638i | −0.271192 | + | 0.518153i | ||||
\(835\) | 10.2313 | 0.354069 | ||||||||
\(836\) | 0.974850 | − | 1.68849i | 0.0337159 | − | 0.0583977i | ||||
\(837\) | −12.2677 | + | 1.53233i | −0.424033 | + | 0.0529651i | ||||
\(838\) | −15.1172 | − | 26.1838i | −0.522216 | − | 0.904504i | ||||
\(839\) | −24.3324 | + | 42.1449i | −0.840047 | + | 1.45500i | 0.0498072 | + | 0.998759i | \(0.484139\pi\) |
−0.889854 | + | 0.456245i | \(0.849194\pi\) | |||||||
\(840\) | −1.62034 | − | 4.28655i | −0.0559071 | − | 0.147900i | ||||
\(841\) | −12.8001 | − | 22.1705i | −0.441384 | − | 0.764499i | ||||
\(842\) | 13.5938 | − | 23.5451i | 0.468472 | − | 0.811417i | ||||
\(843\) | 31.1284 | − | 1.29012i | 1.07212 | − | 0.0444341i | ||||
\(844\) | −7.54299 | − | 13.0648i | −0.259640 | − | 0.449711i | ||||
\(845\) | −6.31014 | − | 10.9295i | −0.217075 | − | 0.375986i | ||||
\(846\) | 9.52873 | − | 20.2006i | 0.327604 | − | 0.694512i | ||||
\(847\) | 28.1293 | + | 5.80808i | 0.966535 | + | 0.199568i | ||||
\(848\) | −0.998199 | + | 1.72893i | −0.0342783 | + | 0.0593718i | ||||
\(849\) | −7.34990 | − | 11.5935i | −0.252248 | − | 0.397889i | ||||
\(850\) | −3.95043 | −0.135499 | ||||||||
\(851\) | −21.8733 | −0.749808 | ||||||||
\(852\) | −10.4675 | − | 16.5111i | −0.358610 | − | 0.565663i | ||||
\(853\) | 17.4299 | − | 30.1895i | 0.596790 | − | 1.03367i | −0.396502 | − | 0.918034i | \(-0.629776\pi\) |
0.993292 | − | 0.115636i | \(-0.0368907\pi\) | |||||||
\(854\) | 9.60021 | + | 28.9713i | 0.328512 | + | 0.991376i | ||||
\(855\) | −6.57948 | + | 13.9483i | −0.225014 | + | 0.477022i | ||||
\(856\) | −2.31889 | − | 4.01643i | −0.0792579 | − | 0.137279i | ||||
\(857\) | −8.06035 | − | 13.9609i | −0.275336 | − | 0.476896i | 0.694884 | − | 0.719122i | \(-0.255456\pi\) |
−0.970220 | + | 0.242226i | \(0.922122\pi\) | |||||||
\(858\) | 0.404446 | − | 0.0167623i | 0.0138076 | − | 0.000572255i | ||||
\(859\) | −2.93110 | + | 5.07681i | −0.100008 | + | 0.173218i | −0.911688 | − | 0.410884i | \(-0.865220\pi\) |
0.811680 | + | 0.584103i | \(0.198553\pi\) | |||||||
\(860\) | 2.57500 | + | 4.46002i | 0.0878066 | + | 0.152086i | ||||
\(861\) | 32.9092 | + | 5.38500i | 1.12154 | + | 0.183520i | ||||
\(862\) | 18.3346 | − | 31.7564i | 0.624478 | − | 1.08163i | ||||
\(863\) | 5.81678 | + | 10.0750i | 0.198006 | + | 0.342956i | 0.947882 | − | 0.318623i | \(-0.103220\pi\) |
−0.749876 | + | 0.661578i | \(0.769887\pi\) | |||||||
\(864\) | 5.15609 | − | 0.644035i | 0.175414 | − | 0.0219105i | ||||
\(865\) | 2.12875 | − | 3.68710i | 0.0723797 | − | 0.125365i | ||||
\(866\) | 24.3601 | 0.827790 | ||||||||
\(867\) | −1.11971 | + | 2.13938i | −0.0380273 | + | 0.0726570i | ||||
\(868\) | 1.98007 | + | 5.97542i | 0.0672081 | + | 0.202819i | ||||
\(869\) | −1.14448 | − | 1.98230i | −0.0388239 | − | 0.0672449i | ||||
\(870\) | −5.93477 | + | 11.3393i | −0.201208 | + | 0.384438i | ||||
\(871\) | −4.13056 | − | 7.15434i | −0.139959 | − | 0.242416i | ||||
\(872\) | −6.78033 | + | 11.7439i | −0.229611 | + | 0.397698i | ||||
\(873\) | −2.70880 | − | 3.90522i | −0.0916789 | − | 0.132172i | ||||
\(874\) | 14.0900 | 0.476600 | ||||||||
\(875\) | −0.832221 | − | 2.51146i | −0.0281342 | − | 0.0849027i | ||||
\(876\) | −12.4093 | + | 0.514306i | −0.419272 | + | 0.0173768i | ||||
\(877\) | −25.1865 | + | 43.6243i | −0.850487 | + | 1.47309i | 0.0302826 | + | 0.999541i | \(0.490359\pi\) |
−0.880770 | + | 0.473545i | \(0.842974\pi\) | |||||||
\(878\) | −22.4590 | −0.757956 | ||||||||
\(879\) | −21.4506 | + | 40.9847i | −0.723512 | + | 1.38238i | ||||
\(880\) | −0.379264 | −0.0127850 | ||||||||
\(881\) | 17.7576 | 0.598269 | 0.299135 | − | 0.954211i | \(-0.403302\pi\) | ||||
0.299135 | + | 0.954211i | \(0.403302\pi\) | |||||||
\(882\) | 4.15578 | + | 20.5847i | 0.139932 | + | 0.693123i | ||||
\(883\) | 43.0049 | 1.44723 | 0.723614 | − | 0.690204i | \(-0.242479\pi\) | ||||
0.723614 | + | 0.690204i | \(0.242479\pi\) | |||||||
\(884\) | 2.43430 | 0.0818745 | ||||||||
\(885\) | 0.401078 | − | 0.0166227i | 0.0134821 | − | 0.000558766i | ||||
\(886\) | 18.5159 | 0.622055 | ||||||||
\(887\) | −17.4531 | + | 30.2297i | −0.586018 | + | 1.01501i | 0.408730 | + | 0.912655i | \(0.365972\pi\) |
−0.994748 | + | 0.102357i | \(0.967362\pi\) | |||||||
\(888\) | 6.40969 | − | 12.2467i | 0.215095 | − | 0.410972i | ||||
\(889\) | 7.13667 | + | 21.5369i | 0.239356 | + | 0.722323i | ||||
\(890\) | −12.5331 | −0.420109 | ||||||||
\(891\) | −1.19578 | + | 3.19707i | −0.0400600 | + | 0.107106i | ||||
\(892\) | 11.1346 | − | 19.2857i | 0.372815 | − | 0.645734i | ||||
\(893\) | 19.1366 | + | 33.1456i | 0.640382 | + | 1.10917i | ||||
\(894\) | −10.8229 | + | 0.448557i | −0.361973 | + | 0.0150020i | ||||
\(895\) | −1.87410 | − | 3.24604i | −0.0626444 | − | 0.108503i | ||||
\(896\) | −0.832221 | − | 2.51146i | −0.0278026 | − | 0.0839018i | ||||
\(897\) | 1.56632 | + | 2.47067i | 0.0522978 | + | 0.0824932i | ||||
\(898\) | 27.6845 | 0.923845 | ||||||||
\(899\) | 8.79043 | − | 15.2255i | 0.293177 | − | 0.507798i | ||||
\(900\) | 2.98971 | − | 0.248244i | 0.0996570 | − | 0.00827480i | ||||
\(901\) | −3.94332 | − | 6.83002i | −0.131371 | − | 0.227541i | ||||
\(902\) | 1.37993 | − | 2.39011i | 0.0459467 | − | 0.0795820i | ||||
\(903\) | −8.34475 | − | 22.0757i | −0.277696 | − | 0.734633i | ||||
\(904\) | 7.78805 | + | 13.4893i | 0.259027 | + | 0.448647i | ||||
\(905\) | 9.76598 | − | 16.9152i | 0.324632 | − | 0.562279i | ||||
\(906\) | −17.6609 | + | 33.7439i | −0.586745 | + | 1.12107i | ||||
\(907\) | 17.2147 | + | 29.8168i | 0.571606 | + | 0.990051i | 0.996401 | + | 0.0847615i | \(0.0270128\pi\) |
−0.424795 | + | 0.905290i | \(0.639654\pi\) | |||||||
\(908\) | −1.45201 | − | 2.51496i | −0.0481867 | − | 0.0834618i | ||||
\(909\) | −36.0757 | + | 2.99547i | −1.19656 | + | 0.0993534i | ||||
\(910\) | 0.512825 | + | 1.54759i | 0.0170000 | + | 0.0513021i | ||||
\(911\) | 10.1847 | − | 17.6405i | 0.337436 | − | 0.584456i | −0.646514 | − | 0.762902i | \(-0.723774\pi\) |
0.983950 | + | 0.178446i | \(0.0571071\pi\) | |||||||
\(912\) | −4.12888 | + | 7.88885i | −0.136721 | + | 0.261226i | ||||
\(913\) | −3.25518 | −0.107731 | ||||||||
\(914\) | 11.3805 | 0.376432 | ||||||||
\(915\) | −19.9632 | + | 0.827376i | −0.659962 | + | 0.0273522i | ||||
\(916\) | −7.40450 | + | 12.8250i | −0.244651 | + | 0.423749i | ||||
\(917\) | 35.8054 | + | 7.39300i | 1.18240 | + | 0.244138i | ||||
\(918\) | −7.98102 | + | 18.9120i | −0.263413 | + | 0.624188i | ||||
\(919\) | 21.3909 | + | 37.0501i | 0.705619 | + | 1.22217i | 0.966468 | + | 0.256789i | \(0.0826644\pi\) |
−0.260848 | + | 0.965380i | \(0.584002\pi\) | |||||||
\(920\) | −1.37042 | − | 2.37364i | −0.0451814 | − | 0.0782565i | ||||
\(921\) | 16.4115 | + | 25.8871i | 0.540777 | + | 0.853008i | ||||
\(922\) | 11.2662 | − | 19.5136i | 0.371033 | − | 0.642648i | ||||
\(923\) | 3.47758 | + | 6.02335i | 0.114466 | + | 0.198261i | ||||
\(924\) | 1.71520 | + | 0.280661i | 0.0564258 | + | 0.00923309i | ||||
\(925\) | 3.99026 | − | 6.91133i | 0.131199 | − | 0.227243i | ||||
\(926\) | 8.51644 | + | 14.7509i | 0.279868 | + | 0.484745i | ||||
\(927\) | 19.6101 | + | 28.2715i | 0.644082 | + | 0.928560i | ||||
\(928\) | −3.69460 | + | 6.39923i | −0.121281 | + | 0.210065i | ||||
\(929\) | 19.6430 | 0.644464 | 0.322232 | − | 0.946661i | \(-0.395567\pi\) | ||||
0.322232 | + | 0.946661i | \(0.395567\pi\) | |||||||
\(930\) | −4.11747 | + | 0.170649i | −0.135017 | + | 0.00559580i | ||||
\(931\) | −33.0423 | − | 14.2526i | −1.08292 | − | 0.467111i | ||||
\(932\) | 9.63735 | + | 16.6924i | 0.315682 | + | 0.546777i | ||||
\(933\) | 15.2324 | + | 24.0272i | 0.498687 | + | 0.786616i | ||||
\(934\) | −3.14018 | − | 5.43895i | −0.102750 | − | 0.177968i | ||||
\(935\) | 0.749128 | − | 1.29753i | 0.0244991 | − | 0.0424337i | ||||
\(936\) | −1.84230 | + | 0.152971i | −0.0602174 | + | 0.00500002i | ||||
\(937\) | 25.9493 | 0.847726 | 0.423863 | − | 0.905726i | \(-0.360674\pi\) | ||||
0.423863 | + | 0.905726i | \(0.360674\pi\) | |||||||
\(938\) | −11.1570 | − | 33.6693i | −0.364289 | − | 1.09934i | ||||
\(939\) | −11.0322 | − | 17.4019i | −0.360022 | − | 0.567889i | ||||
\(940\) | 3.72254 | − | 6.44763i | 0.121416 | − | 0.210298i | ||||
\(941\) | −6.02152 | −0.196296 | −0.0981479 | − | 0.995172i | \(-0.531292\pi\) | ||||
−0.0981479 | + | 0.995172i | \(0.531292\pi\) | |||||||
\(942\) | −14.8012 | − | 23.3470i | −0.482248 | − | 0.760685i | ||||
\(943\) | 19.9448 | 0.649491 | ||||||||
\(944\) | 0.231761 | 0.00754318 | ||||||||
\(945\) | −13.7045 | − | 1.08977i | −0.445806 | − | 0.0354501i | ||||
\(946\) | −1.95321 | −0.0635043 | ||||||||
\(947\) | 48.1819 | 1.56570 | 0.782850 | − | 0.622210i | \(-0.213765\pi\) | ||||
0.782850 | + | 0.622210i | \(0.213765\pi\) | |||||||
\(948\) | 5.59709 | + | 8.82870i | 0.181785 | + | 0.286743i | ||||
\(949\) | 4.41866 | 0.143436 | ||||||||
\(950\) | −2.57037 | + | 4.45201i | −0.0833938 | + | 0.144442i | ||||
\(951\) | −23.9163 | − | 37.7249i | −0.775538 | − | 1.22331i | ||||
\(952\) | 10.2359 | + | 2.11349i | 0.331749 | + | 0.0684986i | ||||
\(953\) | −9.73496 | −0.315346 | −0.157673 | − | 0.987491i | \(-0.550399\pi\) | ||||
−0.157673 | + | 0.987491i | \(0.550399\pi\) | |||||||
\(954\) | 3.41353 | + | 4.92121i | 0.110517 | + | 0.159330i | ||||
\(955\) | 3.86820 | − | 6.69992i | 0.125172 | − | 0.216804i | ||||
\(956\) | 5.41490 | + | 9.37888i | 0.175130 | + | 0.303335i | ||||
\(957\) | −2.59899 | − | 4.09958i | −0.0840135 | − | 0.132521i | ||||
\(958\) | 1.48483 | + | 2.57181i | 0.0479728 | + | 0.0830914i | ||||
\(959\) | 16.4096 | − | 18.4395i | 0.529893 | − | 0.595443i | ||||
\(960\) | 1.73057 | − | 0.0717234i | 0.0558538 | − | 0.00231486i | ||||
\(961\) | −25.3391 | −0.817390 | ||||||||
\(962\) | −2.45884 | + | 4.25884i | −0.0792763 | + | 0.137311i | ||||
\(963\) | −13.8656 | + | 1.15130i | −0.446813 | + | 0.0371001i | ||||
\(964\) | 3.49332 | + | 6.05061i | 0.112512 | + | 0.194877i | ||||
\(965\) | 0.601243 | − | 1.04138i | 0.0193547 | − | 0.0335233i | ||||
\(966\) | 4.44110 | + | 11.7487i | 0.142890 | + | 0.378010i | ||||
\(967\) | 5.59665 | + | 9.69367i | 0.179976 | + | 0.311728i | 0.941872 | − | 0.335972i | \(-0.109065\pi\) |
−0.761896 | + | 0.647699i | \(0.775731\pi\) | |||||||
\(968\) | −5.42808 | + | 9.40171i | −0.174465 | + | 0.302182i | ||||
\(969\) | −18.8337 | − | 29.7078i | −0.605026 | − | 0.954352i | ||||
\(970\) | −0.792120 | − | 1.37199i | −0.0254334 | − | 0.0440520i | ||||
\(971\) | 27.9680 | + | 48.4420i | 0.897535 | + | 1.55458i | 0.830635 | + | 0.556817i | \(0.187977\pi\) |
0.0668998 | + | 0.997760i | \(0.478689\pi\) | |||||||
\(972\) | 4.85167 | − | 14.8142i | 0.155617 | − | 0.475167i | ||||
\(973\) | 17.1509 | − | 19.2726i | 0.549834 | − | 0.617850i | ||||
\(974\) | −7.50526 | + | 12.9995i | −0.240484 | + | 0.416531i | ||||
\(975\) | −1.06640 | + | 0.0441969i | −0.0341520 | + | 0.00141543i | ||||
\(976\) | −11.5356 | −0.369247 | ||||||||
\(977\) | −51.9665 | −1.66256 | −0.831279 | − | 0.555856i | \(-0.812391\pi\) | ||||
−0.831279 | + | 0.555856i | \(0.812391\pi\) | |||||||
\(978\) | −5.79511 | + | 11.0724i | −0.185307 | + | 0.354057i | ||||
\(979\) | 2.37667 | − | 4.11652i | 0.0759588 | − | 0.131564i | ||||
\(980\) | 0.812728 | + | 6.95266i | 0.0259616 | + | 0.222095i | ||||
\(981\) | 23.1866 | + | 33.4276i | 0.740290 | + | 1.06726i | ||||
\(982\) | 6.41840 | + | 11.1170i | 0.204819 | + | 0.354758i | ||||
\(983\) | 7.65401 | + | 13.2571i | 0.244125 | + | 0.422837i | 0.961885 | − | 0.273454i | \(-0.0881660\pi\) |
−0.717760 | + | 0.696290i | \(0.754833\pi\) | |||||||
\(984\) | −5.84456 | + | 11.1669i | −0.186318 | + | 0.355988i | ||||
\(985\) | −9.14197 | + | 15.8344i | −0.291287 | + | 0.504525i | ||||
\(986\) | −14.5953 | − | 25.2797i | −0.464807 | − | 0.805070i | ||||
\(987\) | −21.6063 | + | 26.4042i | −0.687735 | + | 0.840455i | ||||
\(988\) | 1.58389 | − | 2.74339i | 0.0503904 | − | 0.0872787i | ||||
\(989\) | −7.05766 | − | 12.2242i | −0.224420 | − | 0.388708i | ||||
\(990\) | −0.485409 | + | 1.02905i | −0.0154273 | + | 0.0327055i | ||||
\(991\) | 9.70464 | − | 16.8089i | 0.308278 | − | 0.533953i | −0.669708 | − | 0.742625i | \(-0.733581\pi\) |
0.977986 | + | 0.208672i | \(0.0669140\pi\) | |||||||
\(992\) | −2.37926 | −0.0755417 | ||||||||
\(993\) | −0.0241731 | − | 0.0381301i | −0.000767111 | − | 0.00121002i | ||||
\(994\) | 9.39325 | + | 28.3467i | 0.297936 | + | 0.899103i | ||||
\(995\) | 4.34213 | + | 7.52079i | 0.137655 | + | 0.238425i | ||||
\(996\) | 14.8532 | − | 0.615593i | 0.470642 | − | 0.0195058i | ||||
\(997\) | −4.95260 | − | 8.57815i | −0.156850 | − | 0.271673i | 0.776881 | − | 0.629648i | \(-0.216801\pi\) |
−0.933731 | + | 0.357975i | \(0.883467\pi\) | |||||||
\(998\) | −11.6783 | + | 20.2273i | −0.369669 | + | 0.640285i | ||||
\(999\) | −25.0252 | − | 33.0655i | −0.791763 | − | 1.04615i |
(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 | 630.2.i.i.151.6 | yes | 16 | |
3.2 | odd | 2 | 1890.2.i.i.991.5 | 16 | |||
7.2 | even | 3 | 630.2.l.i.331.1 | yes | 16 | ||
9.4 | even | 3 | 630.2.l.i.571.1 | yes | 16 | ||
9.5 | odd | 6 | 1890.2.l.i.361.1 | 16 | |||
21.2 | odd | 6 | 1890.2.l.i.1801.1 | 16 | |||
63.23 | odd | 6 | 1890.2.i.i.1171.5 | 16 | |||
63.58 | even | 3 | inner | 630.2.i.i.121.6 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.i.i.121.6 | ✓ | 16 | 63.58 | even | 3 | inner | |
630.2.i.i.151.6 | yes | 16 | 1.1 | even | 1 | trivial | |
630.2.l.i.331.1 | yes | 16 | 7.2 | even | 3 | ||
630.2.l.i.571.1 | yes | 16 | 9.4 | even | 3 | ||
1890.2.i.i.991.5 | 16 | 3.2 | odd | 2 | |||
1890.2.i.i.1171.5 | 16 | 63.23 | odd | 6 | |||
1890.2.l.i.361.1 | 16 | 9.5 | odd | 6 | |||
1890.2.l.i.1801.1 | 16 | 21.2 | odd | 6 |