Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(311,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.311");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bg (of order \(6\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 467.17 | ||
Character | \(\chi\) | \(=\) | 546.467 |
Dual form | 546.2.bg.a.311.17 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 1.71668 | + | 0.230243i | 0.991125 | + | 0.132931i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −1.00187 | − | 0.578432i | −0.448052 | − | 0.258683i | 0.258955 | − | 0.965889i | \(-0.416622\pi\) |
−0.707007 | + | 0.707206i | \(0.749955\pi\) | |||||||
\(6\) | −1.05774 | + | 1.37157i | −0.431819 | + | 0.559940i | ||||
\(7\) | 0.296298 | − | 2.62911i | 0.111990 | − | 0.993709i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 2.89398 | + | 0.790508i | 0.964659 | + | 0.263503i | ||||
\(10\) | 1.00187 | − | 0.578432i | 0.316820 | − | 0.182916i | ||||
\(11\) | −1.85690 | − | 3.21624i | −0.559875 | − | 0.969732i | −0.997506 | − | 0.0705774i | \(-0.977516\pi\) |
0.437631 | − | 0.899155i | \(-0.355818\pi\) | |||||||
\(12\) | −0.658943 | − | 1.60181i | −0.190220 | − | 0.462403i | ||||
\(13\) | 0.361803 | − | 3.58735i | 0.100346 | − | 0.994953i | ||||
\(14\) | 2.12873 | + | 1.57116i | 0.568926 | + | 0.419909i | ||||
\(15\) | −1.58672 | − | 1.22366i | −0.409688 | − | 0.315947i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 0.0128016 | + | 0.0221731i | 0.00310485 | + | 0.00537776i | 0.867574 | − | 0.497309i | \(-0.165678\pi\) |
−0.864469 | + | 0.502686i | \(0.832345\pi\) | |||||||
\(18\) | −2.13159 | + | 2.11100i | −0.502420 | + | 0.497568i | ||||
\(19\) | 0.122255 | − | 0.211752i | 0.0280473 | − | 0.0485793i | −0.851661 | − | 0.524093i | \(-0.824404\pi\) |
0.879708 | + | 0.475514i | \(0.157738\pi\) | |||||||
\(20\) | 1.15686i | 0.258683i | ||||||||
\(21\) | 1.11398 | − | 4.44511i | 0.243091 | − | 0.970003i | ||||
\(22\) | 3.71379 | 0.791783 | ||||||||
\(23\) | 2.36531 | + | 1.36561i | 0.493201 | + | 0.284750i | 0.725902 | − | 0.687799i | \(-0.241423\pi\) |
−0.232700 | + | 0.972548i | \(0.574756\pi\) | |||||||
\(24\) | 1.71668 | + | 0.230243i | 0.350416 | + | 0.0469982i | ||||
\(25\) | −1.83083 | − | 3.17109i | −0.366166 | − | 0.634219i | ||||
\(26\) | 2.92584 | + | 2.10701i | 0.573804 | + | 0.413218i | ||||
\(27\) | 4.78602 | + | 2.02337i | 0.921070 | + | 0.389397i | ||||
\(28\) | −2.42502 | + | 1.05795i | −0.458286 | + | 0.199934i | ||||
\(29\) | − | 3.51946i | − | 0.653548i | −0.945103 | − | 0.326774i | \(-0.894038\pi\) | ||
0.945103 | − | 0.326774i | \(-0.105962\pi\) | |||||||
\(30\) | 1.85308 | − | 0.762308i | 0.338324 | − | 0.139178i | ||||
\(31\) | 2.24622 | + | 3.89056i | 0.403432 | + | 0.698765i | 0.994138 | − | 0.108122i | \(-0.0344838\pi\) |
−0.590705 | + | 0.806887i | \(0.701150\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −2.44718 | − | 5.94879i | −0.425999 | − | 1.03555i | ||||
\(34\) | −0.0256033 | −0.00439092 | ||||||||
\(35\) | −1.81761 | + | 2.46265i | −0.307233 | + | 0.416263i | ||||
\(36\) | −0.762388 | − | 2.90151i | −0.127065 | − | 0.483585i | ||||
\(37\) | 8.29815 | + | 4.79094i | 1.36421 | + | 0.787625i | 0.990181 | − | 0.139793i | \(-0.0446437\pi\) |
0.374026 | + | 0.927418i | \(0.377977\pi\) | |||||||
\(38\) | 0.122255 | + | 0.211752i | 0.0198324 | + | 0.0343508i | ||||
\(39\) | 1.44706 | − | 6.07503i | 0.231716 | − | 0.972784i | ||||
\(40\) | −1.00187 | − | 0.578432i | −0.158410 | − | 0.0914582i | ||||
\(41\) | − | 0.471512i | − | 0.0736377i | −0.999322 | − | 0.0368189i | \(-0.988278\pi\) | ||
0.999322 | − | 0.0368189i | \(-0.0117225\pi\) | |||||||
\(42\) | 3.29259 | + | 3.18729i | 0.508058 | + | 0.491810i | ||||
\(43\) | −1.24061 | −0.189191 | −0.0945955 | − | 0.995516i | \(-0.530156\pi\) | ||||
−0.0945955 | + | 0.995516i | \(0.530156\pi\) | |||||||
\(44\) | −1.85690 | + | 3.21624i | −0.279937 | + | 0.484866i | ||||
\(45\) | −2.44214 | − | 2.46596i | −0.364053 | − | 0.367603i | ||||
\(46\) | −2.36531 | + | 1.36561i | −0.348746 | + | 0.201349i | ||||
\(47\) | −0.203606 | − | 0.117552i | −0.0296990 | − | 0.0171467i | 0.485077 | − | 0.874471i | \(-0.338792\pi\) |
−0.514776 | + | 0.857325i | \(0.672125\pi\) | |||||||
\(48\) | −1.05774 | + | 1.37157i | −0.152671 | + | 0.197969i | ||||
\(49\) | −6.82442 | − | 1.55800i | −0.974916 | − | 0.222571i | ||||
\(50\) | 3.66166 | 0.517837 | ||||||||
\(51\) | 0.0168711 | + | 0.0410116i | 0.00236243 | + | 0.00574277i | ||||
\(52\) | −3.28764 | + | 1.48035i | −0.455914 | + | 0.205287i | ||||
\(53\) | −6.44560 | + | 3.72137i | −0.885372 | + | 0.511170i | −0.872426 | − | 0.488747i | \(-0.837454\pi\) |
−0.0129459 | + | 0.999916i | \(0.504121\pi\) | |||||||
\(54\) | −4.14530 | + | 3.13313i | −0.564104 | + | 0.426365i | ||||
\(55\) | 4.29635i | 0.579320i | ||||||||
\(56\) | 0.296298 | − | 2.62911i | 0.0395945 | − | 0.351329i | ||||
\(57\) | 0.258628 | − | 0.335362i | 0.0342561 | − | 0.0444198i | ||||
\(58\) | 3.04794 | + | 1.75973i | 0.400215 | + | 0.231064i | ||||
\(59\) | −2.80431 | + | 1.61907i | −0.365090 | + | 0.210785i | −0.671311 | − | 0.741176i | \(-0.734269\pi\) |
0.306221 | + | 0.951960i | \(0.400935\pi\) | |||||||
\(60\) | −0.266360 | + | 1.98597i | −0.0343870 | + | 0.256387i | ||||
\(61\) | 10.2453 | + | 5.91511i | 1.31177 | + | 0.757353i | 0.982390 | − | 0.186844i | \(-0.0598258\pi\) |
0.329384 | + | 0.944196i | \(0.393159\pi\) | |||||||
\(62\) | −4.49243 | −0.570539 | ||||||||
\(63\) | 2.93581 | − | 7.37435i | 0.369877 | − | 0.929081i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −2.43752 | + | 3.38480i | −0.302337 | + | 0.419833i | ||||
\(66\) | 6.37539 | + | 0.855076i | 0.784756 | + | 0.105253i | ||||
\(67\) | −6.24108 | + | 3.60329i | −0.762469 | + | 0.440212i | −0.830182 | − | 0.557493i | \(-0.811763\pi\) |
0.0677122 | + | 0.997705i | \(0.478430\pi\) | |||||||
\(68\) | 0.0128016 | − | 0.0221731i | 0.00155243 | − | 0.00268888i | ||||
\(69\) | 3.74606 | + | 2.88892i | 0.450972 | + | 0.347785i | ||||
\(70\) | −1.22391 | − | 2.80542i | −0.146285 | − | 0.335312i | ||||
\(71\) | 14.6757 | 1.74168 | 0.870841 | − | 0.491564i | \(-0.163575\pi\) | ||||
0.870841 | + | 0.491564i | \(0.163575\pi\) | |||||||
\(72\) | 2.89398 | + | 0.790508i | 0.341058 | + | 0.0931623i | ||||
\(73\) | 0.784266 | + | 1.35839i | 0.0917914 | + | 0.158987i | 0.908265 | − | 0.418395i | \(-0.137407\pi\) |
−0.816474 | + | 0.577383i | \(0.804074\pi\) | |||||||
\(74\) | −8.29815 | + | 4.79094i | −0.964640 | + | 0.556935i | ||||
\(75\) | −2.41283 | − | 5.86529i | −0.278609 | − | 0.677265i | ||||
\(76\) | −0.244511 | −0.0280473 | ||||||||
\(77\) | −9.00603 | + | 3.92901i | −1.02633 | + | 0.447753i | ||||
\(78\) | 4.53760 | + | 4.29071i | 0.513782 | + | 0.485827i | ||||
\(79\) | 3.01266 | − | 5.21808i | 0.338951 | − | 0.587080i | −0.645285 | − | 0.763942i | \(-0.723261\pi\) |
0.984236 | + | 0.176862i | \(0.0565946\pi\) | |||||||
\(80\) | 1.00187 | − | 0.578432i | 0.112013 | − | 0.0646707i | ||||
\(81\) | 7.75019 | + | 4.57542i | 0.861133 | + | 0.508380i | ||||
\(82\) | 0.408341 | + | 0.235756i | 0.0450937 | + | 0.0260349i | ||||
\(83\) | 3.64267i | 0.399835i | 0.979813 | + | 0.199917i | \(0.0640673\pi\) | ||||
−0.979813 | + | 0.199917i | \(0.935933\pi\) | |||||||
\(84\) | −4.40657 | + | 1.25782i | −0.480797 | + | 0.137239i | ||||
\(85\) | − | 0.0296195i | − | 0.00321269i | ||||||
\(86\) | 0.620304 | − | 1.07440i | 0.0668891 | − | 0.115855i | ||||
\(87\) | 0.810333 | − | 6.04179i | 0.0868768 | − | 0.647748i | ||||
\(88\) | −1.85690 | − | 3.21624i | −0.197946 | − | 0.342852i | ||||
\(89\) | −8.11911 | − | 4.68757i | −0.860623 | − | 0.496881i | 0.00359755 | − | 0.999994i | \(-0.498855\pi\) |
−0.864221 | + | 0.503112i | \(0.832188\pi\) | |||||||
\(90\) | 3.35666 | − | 0.881980i | 0.353823 | − | 0.0929688i | ||||
\(91\) | −9.32434 | − | 2.01414i | −0.977456 | − | 0.211140i | ||||
\(92\) | − | 2.73122i | − | 0.284750i | ||||||
\(93\) | 2.96026 | + | 7.19602i | 0.306964 | + | 0.746193i | ||||
\(94\) | 0.203606 | − | 0.117552i | 0.0210004 | − | 0.0121246i | ||||
\(95\) | −0.244969 | + | 0.141433i | −0.0251333 | + | 0.0145107i | ||||
\(96\) | −0.658943 | − | 1.60181i | −0.0672531 | − | 0.163484i | ||||
\(97\) | 12.7955 | 1.29918 | 0.649591 | − | 0.760284i | \(-0.274940\pi\) | ||||
0.649591 | + | 0.760284i | \(0.274940\pi\) | |||||||
\(98\) | 4.76147 | − | 5.13112i | 0.480981 | − | 0.518321i | ||||
\(99\) | −2.83135 | − | 10.7756i | −0.284561 | − | 1.08299i | ||||
\(100\) | −1.83083 | + | 3.17109i | −0.183083 | + | 0.317109i | ||||
\(101\) | −5.03494 | − | 8.72077i | −0.500995 | − | 0.867749i | −0.999999 | − | 0.00114938i | \(-0.999634\pi\) |
0.499004 | − | 0.866600i | \(-0.333699\pi\) | |||||||
\(102\) | −0.0439526 | − | 0.00589498i | −0.00435196 | − | 0.000583690i | ||||
\(103\) | 8.82256 | + | 5.09371i | 0.869313 | + | 0.501898i | 0.867120 | − | 0.498099i | \(-0.165969\pi\) |
0.00219314 | + | 0.999998i | \(0.499302\pi\) | |||||||
\(104\) | 0.361803 | − | 3.58735i | 0.0354777 | − | 0.351769i | ||||
\(105\) | −3.68727 | + | 3.80908i | −0.359841 | + | 0.371728i | ||||
\(106\) | − | 7.44274i | − | 0.722903i | ||||||
\(107\) | −15.7423 | − | 9.08881i | −1.52186 | − | 0.878648i | −0.999667 | − | 0.0258233i | \(-0.991779\pi\) |
−0.522197 | − | 0.852825i | \(-0.674887\pi\) | |||||||
\(108\) | −0.640722 | − | 5.15650i | −0.0616535 | − | 0.496184i | ||||
\(109\) | −2.40616 | + | 1.38920i | −0.230469 | + | 0.133061i | −0.610788 | − | 0.791794i | \(-0.709147\pi\) |
0.380320 | + | 0.924855i | \(0.375814\pi\) | |||||||
\(110\) | −3.72075 | − | 2.14818i | −0.354760 | − | 0.204821i | ||||
\(111\) | 13.1422 | + | 10.1351i | 1.24740 | + | 0.961981i | ||||
\(112\) | 2.12873 | + | 1.57116i | 0.201146 | + | 0.148460i | ||||
\(113\) | 18.6367i | 1.75319i | 0.481229 | + | 0.876595i | \(0.340191\pi\) | ||||
−0.481229 | + | 0.876595i | \(0.659809\pi\) | |||||||
\(114\) | 0.161119 | + | 0.391659i | 0.0150901 | + | 0.0366823i | ||||
\(115\) | −1.57983 | − | 2.73634i | −0.147320 | − | 0.255165i | ||||
\(116\) | −3.04794 | + | 1.75973i | −0.282995 | + | 0.163387i | ||||
\(117\) | 3.88288 | − | 10.0957i | 0.358972 | − | 0.933348i | ||||
\(118\) | − | 3.23814i | − | 0.298095i | ||||||
\(119\) | 0.0620885 | − | 0.0270870i | 0.00569164 | − | 0.00248306i | ||||
\(120\) | −1.58672 | − | 1.22366i | −0.144847 | − | 0.111704i | ||||
\(121\) | −1.39612 | + | 2.41815i | −0.126920 | + | 0.219832i | ||||
\(122\) | −10.2453 | + | 5.91511i | −0.927564 | + | 0.535529i | ||||
\(123\) | 0.108562 | − | 0.809434i | 0.00978874 | − | 0.0729842i | ||||
\(124\) | 2.24622 | − | 3.89056i | 0.201716 | − | 0.349383i | ||||
\(125\) | 10.0204i | 0.896249i | ||||||||
\(126\) | 4.91847 | + | 6.22966i | 0.438172 | + | 0.554982i | ||||
\(127\) | −8.83042 | −0.783573 | −0.391787 | − | 0.920056i | \(-0.628143\pi\) | ||||
−0.391787 | + | 0.920056i | \(0.628143\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −2.12973 | − | 0.285642i | −0.187512 | − | 0.0251494i | ||||
\(130\) | −1.71256 | − | 3.80335i | −0.150201 | − | 0.333576i | ||||
\(131\) | −7.07051 | + | 12.2465i | −0.617753 | + | 1.06998i | 0.372141 | + | 0.928176i | \(0.378624\pi\) |
−0.989895 | + | 0.141804i | \(0.954710\pi\) | |||||||
\(132\) | −3.92821 | + | 5.09371i | −0.341907 | + | 0.443351i | ||||
\(133\) | −0.520496 | − | 0.384164i | −0.0451327 | − | 0.0333113i | ||||
\(134\) | − | 7.20658i | − | 0.622554i | ||||||
\(135\) | −3.62461 | − | 4.79555i | −0.311957 | − | 0.412735i | ||||
\(136\) | 0.0128016 | + | 0.0221731i | 0.00109773 | + | 0.00190133i | ||||
\(137\) | −6.70701 | − | 11.6169i | −0.573019 | − | 0.992498i | −0.996254 | − | 0.0864777i | \(-0.972439\pi\) |
0.423235 | − | 0.906020i | \(-0.360894\pi\) | |||||||
\(138\) | −4.37490 | + | 1.79972i | −0.372416 | + | 0.153202i | ||||
\(139\) | 15.0565i | 1.27708i | 0.769589 | + | 0.638539i | \(0.220461\pi\) | ||||
−0.769589 | + | 0.638539i | \(0.779539\pi\) | |||||||
\(140\) | 3.04152 | + | 0.342777i | 0.257056 | + | 0.0289699i | ||||
\(141\) | −0.322461 | − | 0.248678i | −0.0271561 | − | 0.0209425i | ||||
\(142\) | −7.33784 | + | 12.7095i | −0.615778 | + | 1.06656i | ||||
\(143\) | −12.2096 | + | 5.49769i | −1.02102 | + | 0.459740i | ||||
\(144\) | −2.13159 | + | 2.11100i | −0.177632 | + | 0.175917i | ||||
\(145\) | −2.03577 | + | 3.52606i | −0.169062 | + | 0.292823i | ||||
\(146\) | −1.56853 | −0.129813 | ||||||||
\(147\) | −11.3566 | − | 4.24586i | −0.936678 | − | 0.350193i | ||||
\(148\) | − | 9.58187i | − | 0.787625i | ||||||
\(149\) | 4.72601 | − | 8.18569i | 0.387170 | − | 0.670598i | −0.604898 | − | 0.796303i | \(-0.706786\pi\) |
0.992068 | + | 0.125705i | \(0.0401193\pi\) | |||||||
\(150\) | 6.28590 | + | 0.843074i | 0.513242 | + | 0.0688367i | ||||
\(151\) | −12.9798 | + | 7.49388i | −1.05628 | + | 0.609843i | −0.924401 | − | 0.381423i | \(-0.875434\pi\) |
−0.131878 | + | 0.991266i | \(0.542101\pi\) | |||||||
\(152\) | 0.122255 | − | 0.211752i | 0.00991621 | − | 0.0171754i | ||||
\(153\) | 0.0195196 | + | 0.0742882i | 0.00157807 | + | 0.00600584i | ||||
\(154\) | 1.10039 | − | 9.76396i | 0.0886718 | − | 0.786802i | ||||
\(155\) | − | 5.19714i | − | 0.417444i | ||||||
\(156\) | −5.98466 | + | 1.78432i | −0.479157 | + | 0.142860i | ||||
\(157\) | 1.50376 | − | 0.868197i | 0.120013 | − | 0.0692896i | −0.438792 | − | 0.898589i | \(-0.644593\pi\) |
0.558805 | + | 0.829299i | \(0.311260\pi\) | |||||||
\(158\) | 3.01266 | + | 5.21808i | 0.239674 | + | 0.415128i | ||||
\(159\) | −11.9219 | + | 4.90434i | −0.945465 | + | 0.388940i | ||||
\(160\) | 1.15686i | 0.0914582i | ||||||||
\(161\) | 4.29118 | − | 5.81403i | 0.338192 | − | 0.458210i | ||||
\(162\) | −7.83753 | + | 4.42415i | −0.615774 | + | 0.347594i | ||||
\(163\) | −11.0173 | − | 6.36085i | −0.862943 | − | 0.498221i | 0.00205345 | − | 0.999998i | \(-0.499346\pi\) |
−0.864997 | + | 0.501777i | \(0.832680\pi\) | |||||||
\(164\) | −0.408341 | + | 0.235756i | −0.0318861 | + | 0.0184094i | ||||
\(165\) | −0.989207 | + | 7.37546i | −0.0770097 | + | 0.574179i | ||||
\(166\) | −3.15464 | − | 1.82133i | −0.244848 | − | 0.141363i | ||||
\(167\) | 6.85544i | 0.530490i | 0.964181 | + | 0.265245i | \(0.0854528\pi\) | ||||
−0.964181 | + | 0.265245i | \(0.914547\pi\) | |||||||
\(168\) | 1.11398 | − | 4.44511i | 0.0859457 | − | 0.342948i | ||||
\(169\) | −12.7382 | − | 2.59583i | −0.979861 | − | 0.199679i | ||||
\(170\) | 0.0256513 | + | 0.0148098i | 0.00196736 | + | 0.00113586i | ||||
\(171\) | 0.521196 | − | 0.516163i | 0.0398568 | − | 0.0394719i | ||||
\(172\) | 0.620304 | + | 1.07440i | 0.0472977 | + | 0.0819221i | ||||
\(173\) | 7.79711 | − | 13.5050i | 0.592803 | − | 1.02677i | −0.401049 | − | 0.916056i | \(-0.631354\pi\) |
0.993853 | − | 0.110709i | \(-0.0353122\pi\) | |||||||
\(174\) | 4.82718 | + | 3.72266i | 0.365947 | + | 0.282214i | ||||
\(175\) | −8.87962 | + | 3.87387i | −0.671236 | + | 0.292837i | ||||
\(176\) | 3.71379 | 0.279937 | ||||||||
\(177\) | −5.18688 | + | 2.13375i | −0.389870 | + | 0.160382i | ||||
\(178\) | 8.11911 | − | 4.68757i | 0.608553 | − | 0.351348i | ||||
\(179\) | 3.42830 | − | 1.97933i | 0.256243 | − | 0.147942i | −0.366377 | − | 0.930467i | \(-0.619402\pi\) |
0.622620 | + | 0.782525i | \(0.286068\pi\) | |||||||
\(180\) | −0.914511 | + | 3.34794i | −0.0681636 | + | 0.249541i | ||||
\(181\) | 0.429161i | 0.0318992i | 0.999873 | + | 0.0159496i | \(0.00507714\pi\) | ||||
−0.999873 | + | 0.0159496i | \(0.994923\pi\) | |||||||
\(182\) | 6.40647 | − | 7.06804i | 0.474879 | − | 0.523918i | ||||
\(183\) | 16.2259 | + | 12.5133i | 1.19946 | + | 0.925007i | ||||
\(184\) | 2.36531 | + | 1.36561i | 0.174373 | + | 0.100674i | ||||
\(185\) | −5.54247 | − | 9.59983i | −0.407490 | − | 0.705794i | ||||
\(186\) | −7.71207 | − | 1.03435i | −0.565476 | − | 0.0758424i | ||||
\(187\) | 0.0475426 | − | 0.0823462i | 0.00347666 | − | 0.00602175i | ||||
\(188\) | 0.235104i | 0.0171467i | ||||||||
\(189\) | 6.73774 | − | 11.9834i | 0.490098 | − | 0.871667i | ||||
\(190\) | − | 0.282866i | − | 0.0205212i | ||||||
\(191\) | −1.57425 | − | 0.908893i | −0.113909 | − | 0.0657652i | 0.441963 | − | 0.897033i | \(-0.354282\pi\) |
−0.555872 | + | 0.831268i | \(0.687615\pi\) | |||||||
\(192\) | 1.71668 | + | 0.230243i | 0.123891 | + | 0.0166164i | ||||
\(193\) | 17.1426 | − | 9.89729i | 1.23395 | − | 0.712422i | 0.266100 | − | 0.963945i | \(-0.414265\pi\) |
0.967851 | + | 0.251523i | \(0.0809315\pi\) | |||||||
\(194\) | −6.39773 | + | 11.0812i | −0.459330 | + | 0.795583i | ||||
\(195\) | −4.96377 | + | 5.24939i | −0.355463 | + | 0.375917i | ||||
\(196\) | 2.06294 | + | 6.68912i | 0.147353 | + | 0.477794i | ||||
\(197\) | 25.2444 | 1.79859 | 0.899296 | − | 0.437341i | \(-0.144080\pi\) | ||||
0.899296 | + | 0.437341i | \(0.144080\pi\) | |||||||
\(198\) | 10.7476 | + | 2.93578i | 0.763800 | + | 0.208637i | ||||
\(199\) | −5.33963 | + | 3.08284i | −0.378517 | + | 0.218537i | −0.677173 | − | 0.735824i | \(-0.736795\pi\) |
0.298656 | + | 0.954361i | \(0.403462\pi\) | |||||||
\(200\) | −1.83083 | − | 3.17109i | −0.129459 | − | 0.224230i | ||||
\(201\) | −11.5436 | + | 4.74873i | −0.814221 | + | 0.334949i | ||||
\(202\) | 10.0699 | 0.708514 | ||||||||
\(203\) | −9.25305 | − | 1.04281i | −0.649437 | − | 0.0731909i | ||||
\(204\) | 0.0270815 | − | 0.0351166i | 0.00189608 | − | 0.00245865i | ||||
\(205\) | −0.272738 | + | 0.472395i | −0.0190488 | + | 0.0329935i | ||||
\(206\) | −8.82256 | + | 5.09371i | −0.614697 | + | 0.354896i | ||||
\(207\) | 5.76562 | + | 5.82185i | 0.400738 | + | 0.404646i | ||||
\(208\) | 2.92584 | + | 2.10701i | 0.202870 | + | 0.146095i | ||||
\(209\) | −0.908061 | −0.0628119 | ||||||||
\(210\) | −1.45513 | − | 5.09781i | −0.100413 | − | 0.351782i | ||||
\(211\) | −3.98179 | −0.274117 | −0.137059 | − | 0.990563i | \(-0.543765\pi\) | ||||
−0.137059 | + | 0.990563i | \(0.543765\pi\) | |||||||
\(212\) | 6.44560 | + | 3.72137i | 0.442686 | + | 0.255585i | ||||
\(213\) | 25.1934 | + | 3.37898i | 1.72623 | + | 0.231524i | ||||
\(214\) | 15.7423 | − | 9.08881i | 1.07612 | − | 0.621298i | ||||
\(215\) | 1.24293 | + | 0.717608i | 0.0847673 | + | 0.0489405i | ||||
\(216\) | 4.78602 | + | 2.02337i | 0.325647 | + | 0.137673i | ||||
\(217\) | 10.8943 | − | 4.75278i | 0.739550 | − | 0.322640i | ||||
\(218\) | − | 2.77840i | − | 0.188177i | ||||||
\(219\) | 1.03357 | + | 2.51249i | 0.0698425 | + | 0.169778i | ||||
\(220\) | 3.72075 | − | 2.14818i | 0.250853 | − | 0.144830i | ||||
\(221\) | 0.0841743 | − | 0.0379017i | 0.00566218 | − | 0.00254954i | ||||
\(222\) | −15.3483 | + | 6.31391i | −1.03011 | + | 0.423762i | ||||
\(223\) | −2.03477 | −0.136258 | −0.0681291 | − | 0.997677i | \(-0.521703\pi\) | ||||
−0.0681291 | + | 0.997677i | \(0.521703\pi\) | |||||||
\(224\) | −2.42502 | + | 1.05795i | −0.162029 | + | 0.0706874i | ||||
\(225\) | −2.79161 | − | 10.6244i | −0.186107 | − | 0.708290i | ||||
\(226\) | −16.1398 | − | 9.31833i | −1.07361 | − | 0.619846i | ||||
\(227\) | −15.6005 | + | 9.00694i | −1.03544 | + | 0.597812i | −0.918538 | − | 0.395332i | \(-0.870630\pi\) |
−0.116902 | + | 0.993143i | \(0.537296\pi\) | |||||||
\(228\) | −0.419746 | − | 0.0562970i | −0.0277984 | − | 0.00372836i | ||||
\(229\) | −9.36691 | + | 16.2240i | −0.618983 | + | 1.07211i | 0.370688 | + | 0.928757i | \(0.379122\pi\) |
−0.989672 | + | 0.143353i | \(0.954212\pi\) | |||||||
\(230\) | 3.15966 | 0.208342 | ||||||||
\(231\) | −16.3651 | + | 4.67128i | −1.07674 | + | 0.307348i | ||||
\(232\) | − | 3.51946i | − | 0.231064i | ||||||
\(233\) | 17.0834 | + | 9.86309i | 1.11917 | + | 0.646152i | 0.941189 | − | 0.337882i | \(-0.109710\pi\) |
0.177980 | + | 0.984034i | \(0.443044\pi\) | |||||||
\(234\) | 6.80170 | + | 8.41052i | 0.444641 | + | 0.549813i | ||||
\(235\) | 0.135992 | + | 0.235545i | 0.00887112 | + | 0.0153652i | ||||
\(236\) | 2.80431 | + | 1.61907i | 0.182545 | + | 0.105392i | ||||
\(237\) | 6.37320 | − | 8.26413i | 0.413984 | − | 0.536813i | ||||
\(238\) | −0.00758619 | + | 0.0673137i | −0.000491740 | + | 0.00436330i | ||||
\(239\) | 20.1417 | 1.30286 | 0.651428 | − | 0.758711i | \(-0.274170\pi\) | ||||
0.651428 | + | 0.758711i | \(0.274170\pi\) | |||||||
\(240\) | 1.85308 | − | 0.762308i | 0.119616 | − | 0.0492068i | ||||
\(241\) | 11.1359 | + | 19.2880i | 0.717327 | + | 1.24245i | 0.962055 | + | 0.272855i | \(0.0879678\pi\) |
−0.244729 | + | 0.969592i | \(0.578699\pi\) | |||||||
\(242\) | −1.39612 | − | 2.41815i | −0.0897460 | − | 0.155445i | ||||
\(243\) | 12.2511 | + | 9.63897i | 0.785911 | + | 0.618340i | ||||
\(244\) | − | 11.8302i | − | 0.757353i | ||||||
\(245\) | 5.93601 | + | 5.50838i | 0.379238 | + | 0.351918i | ||||
\(246\) | 0.646709 | + | 0.498735i | 0.0412327 | + | 0.0317982i | ||||
\(247\) | −0.715398 | − | 0.515185i | −0.0455197 | − | 0.0327805i | ||||
\(248\) | 2.24622 | + | 3.89056i | 0.142635 | + | 0.247051i | ||||
\(249\) | −0.838700 | + | 6.25329i | −0.0531504 | + | 0.396286i | ||||
\(250\) | −8.67790 | − | 5.01019i | −0.548838 | − | 0.316872i | ||||
\(251\) | 20.5563 | 1.29750 | 0.648752 | − | 0.761000i | \(-0.275291\pi\) | ||||
0.648752 | + | 0.761000i | \(0.275291\pi\) | |||||||
\(252\) | −7.85428 | + | 1.14469i | −0.494773 | + | 0.0721086i | ||||
\(253\) | − | 10.1432i | − | 0.637697i | ||||||
\(254\) | 4.41521 | − | 7.64737i | 0.277035 | − | 0.479839i | ||||
\(255\) | 0.00681970 | − | 0.0508472i | 0.000427066 | − | 0.00318418i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 5.10857 | − | 8.84830i | 0.318664 | − | 0.551942i | −0.661546 | − | 0.749905i | \(-0.730099\pi\) |
0.980210 | + | 0.197963i | \(0.0634326\pi\) | |||||||
\(258\) | 1.31224 | − | 1.70158i | 0.0816963 | − | 0.105936i | ||||
\(259\) | 15.0546 | − | 20.3972i | 0.935448 | − | 1.26742i | ||||
\(260\) | 4.15008 | + | 0.418557i | 0.257377 | + | 0.0259578i | ||||
\(261\) | 2.78216 | − | 10.1852i | 0.172212 | − | 0.630451i | ||||
\(262\) | −7.07051 | − | 12.2465i | −0.436818 | − | 0.756590i | ||||
\(263\) | 24.3841 | − | 14.0782i | 1.50359 | − | 0.868097i | 0.503598 | − | 0.863938i | \(-0.332009\pi\) |
0.999991 | − | 0.00415905i | \(-0.00132387\pi\) | |||||||
\(264\) | −2.44718 | − | 5.94879i | −0.150613 | − | 0.366122i | ||||
\(265\) | 8.61025 | 0.528923 | ||||||||
\(266\) | 0.592944 | − | 0.258681i | 0.0363557 | − | 0.0158607i | ||||
\(267\) | −12.8586 | − | 9.91642i | −0.786935 | − | 0.606875i | ||||
\(268\) | 6.24108 | + | 3.60329i | 0.381235 | + | 0.220106i | ||||
\(269\) | 14.6822 | + | 25.4302i | 0.895187 | + | 1.55051i | 0.833573 | + | 0.552409i | \(0.186291\pi\) |
0.0616140 | + | 0.998100i | \(0.480375\pi\) | |||||||
\(270\) | 5.96537 | − | 0.741228i | 0.363041 | − | 0.0451097i | ||||
\(271\) | −14.2082 | + | 24.6093i | −0.863085 | + | 1.49491i | 0.00585211 | + | 0.999983i | \(0.498137\pi\) |
−0.868937 | + | 0.494923i | \(0.835196\pi\) | |||||||
\(272\) | −0.0256033 | −0.00155243 | ||||||||
\(273\) | −15.5432 | − | 5.60450i | −0.940714 | − | 0.339200i | ||||
\(274\) | 13.4140 | 0.810371 | ||||||||
\(275\) | −6.79933 | + | 11.7768i | −0.410015 | + | 0.710166i | ||||
\(276\) | 0.628846 | − | 4.68864i | 0.0378521 | − | 0.282223i | ||||
\(277\) | −13.8268 | − | 23.9486i | −0.830769 | − | 1.43893i | −0.897429 | − | 0.441159i | \(-0.854567\pi\) |
0.0666595 | − | 0.997776i | \(-0.478766\pi\) | |||||||
\(278\) | −13.0393 | − | 7.52827i | −0.782048 | − | 0.451516i | ||||
\(279\) | 3.42498 | + | 13.0348i | 0.205048 | + | 0.780375i | ||||
\(280\) | −1.81761 | + | 2.46265i | −0.108623 | + | 0.147171i | ||||
\(281\) | 12.3610 | 0.737394 | 0.368697 | − | 0.929550i | \(-0.379804\pi\) | ||||
0.368697 | + | 0.929550i | \(0.379804\pi\) | |||||||
\(282\) | 0.376592 | − | 0.154920i | 0.0224257 | − | 0.00922536i | ||||
\(283\) | 11.8406 | − | 6.83616i | 0.703849 | − | 0.406367i | −0.104930 | − | 0.994480i | \(-0.533462\pi\) |
0.808779 | + | 0.588112i | \(0.200129\pi\) | |||||||
\(284\) | −7.33784 | − | 12.7095i | −0.435421 | − | 0.754171i | ||||
\(285\) | −0.453097 | + | 0.186392i | −0.0268391 | + | 0.0110409i | ||||
\(286\) | 1.34366 | − | 13.3227i | 0.0794523 | − | 0.787786i | ||||
\(287\) | −1.23965 | − | 0.139708i | −0.0731745 | − | 0.00824669i | ||||
\(288\) | −0.762388 | − | 2.90151i | −0.0449241 | − | 0.170973i | ||||
\(289\) | 8.49967 | − | 14.7219i | 0.499981 | − | 0.865992i | ||||
\(290\) | −2.03577 | − | 3.52606i | −0.119545 | − | 0.207057i | ||||
\(291\) | 21.9657 | + | 2.94607i | 1.28765 | + | 0.172702i | ||||
\(292\) | 0.784266 | − | 1.35839i | 0.0458957 | − | 0.0794937i | ||||
\(293\) | − | 4.20649i | − | 0.245746i | −0.992422 | − | 0.122873i | \(-0.960789\pi\) | ||
0.992422 | − | 0.122873i | \(-0.0392107\pi\) | |||||||
\(294\) | 9.35533 | − | 7.71219i | 0.545614 | − | 0.449784i | ||||
\(295\) | 3.74609 | 0.218106 | ||||||||
\(296\) | 8.29815 | + | 4.79094i | 0.482320 | + | 0.278468i | ||||
\(297\) | −2.37951 | − | 19.1502i | −0.138073 | − | 1.11120i | ||||
\(298\) | 4.72601 | + | 8.18569i | 0.273771 | + | 0.474184i | ||||
\(299\) | 5.75471 | − | 7.99112i | 0.332803 | − | 0.462138i | ||||
\(300\) | −3.87307 | + | 5.02221i | −0.223612 | + | 0.289958i | ||||
\(301\) | −0.367590 | + | 3.26169i | −0.0211875 | + | 0.188001i | ||||
\(302\) | − | 14.9878i | − | 0.862448i | ||||||
\(303\) | −6.63547 | − | 16.1300i | −0.381198 | − | 0.926646i | ||||
\(304\) | 0.122255 | + | 0.211752i | 0.00701182 | + | 0.0121448i | ||||
\(305\) | −6.84299 | − | 11.8524i | −0.391828 | − | 0.678666i | ||||
\(306\) | −0.0740952 | − | 0.0202396i | −0.00423574 | − | 0.00115702i | ||||
\(307\) | −21.1492 | −1.20705 | −0.603524 | − | 0.797345i | \(-0.706237\pi\) | ||||
−0.603524 | + | 0.797345i | \(0.706237\pi\) | |||||||
\(308\) | 7.90564 | + | 5.83494i | 0.450466 | + | 0.332477i | ||||
\(309\) | 13.9727 | + | 10.7756i | 0.794880 | + | 0.613003i | ||||
\(310\) | 4.50085 | + | 2.59857i | 0.255631 | + | 0.147589i | ||||
\(311\) | 15.6755 | + | 27.1507i | 0.888874 | + | 1.53957i | 0.841208 | + | 0.540711i | \(0.181845\pi\) |
0.0476652 | + | 0.998863i | \(0.484822\pi\) | |||||||
\(312\) | 1.44706 | − | 6.07503i | 0.0819238 | − | 0.343931i | ||||
\(313\) | 28.3855 | + | 16.3884i | 1.60444 | + | 0.926325i | 0.990584 | + | 0.136908i | \(0.0437165\pi\) |
0.613858 | + | 0.789417i | \(0.289617\pi\) | |||||||
\(314\) | 1.73639i | 0.0979903i | ||||||||
\(315\) | −7.20687 | + | 5.69000i | −0.406061 | + | 0.320595i | ||||
\(316\) | −6.02532 | −0.338951 | ||||||||
\(317\) | 11.1137 | − | 19.2495i | 0.624209 | − | 1.08116i | −0.364484 | − | 0.931210i | \(-0.618755\pi\) |
0.988693 | − | 0.149952i | \(-0.0479120\pi\) | |||||||
\(318\) | 1.71364 | − | 12.7768i | 0.0960963 | − | 0.716487i | ||||
\(319\) | −11.3194 | + | 6.53528i | −0.633766 | + | 0.365905i | ||||
\(320\) | −1.00187 | − | 0.578432i | −0.0560065 | − | 0.0323354i | ||||
\(321\) | −24.9318 | − | 19.2271i | −1.39156 | − | 1.07315i | ||||
\(322\) | 2.88951 | + | 6.62328i | 0.161026 | + | 0.369101i | ||||
\(323\) | 0.00626027 | 0.000348331 | ||||||||
\(324\) | 0.0873358 | − | 8.99958i | 0.00485199 | − | 0.499976i | ||||
\(325\) | −12.0382 | + | 5.42053i | −0.667761 | + | 0.300677i | ||||
\(326\) | 11.0173 | − | 6.36085i | 0.610193 | − | 0.352295i | ||||
\(327\) | −4.45046 | + | 1.83081i | −0.246111 | + | 0.101244i | ||||
\(328\) | − | 0.471512i | − | 0.0260349i | ||||||
\(329\) | −0.369385 | + | 0.500472i | −0.0203648 | + | 0.0275919i | ||||
\(330\) | −5.89273 | − | 4.54441i | −0.324384 | − | 0.250161i | ||||
\(331\) | −16.0419 | − | 9.26179i | −0.881742 | − | 0.509074i | −0.0105099 | − | 0.999945i | \(-0.503345\pi\) |
−0.871233 | + | 0.490871i | \(0.836679\pi\) | |||||||
\(332\) | 3.15464 | − | 1.82133i | 0.173133 | − | 0.0999586i | ||||
\(333\) | 20.2274 | + | 20.4246i | 1.10845 | + | 1.11926i | ||||
\(334\) | −5.93699 | − | 3.42772i | −0.324857 | − | 0.187557i | ||||
\(335\) | 8.33704 | 0.455501 | ||||||||
\(336\) | 3.29259 | + | 3.18729i | 0.179626 | + | 0.173881i | ||||
\(337\) | −17.9572 | −0.978191 | −0.489095 | − | 0.872230i | \(-0.662673\pi\) | ||||
−0.489095 | + | 0.872230i | \(0.662673\pi\) | |||||||
\(338\) | 8.61715 | − | 9.73369i | 0.468711 | − | 0.529443i | ||||
\(339\) | −4.29097 | + | 31.9932i | −0.233053 | + | 1.73763i | ||||
\(340\) | −0.0256513 | + | 0.0148098i | −0.00139113 | + | 0.000803172i | ||||
\(341\) | 8.34198 | − | 14.4487i | 0.451743 | − | 0.782442i | ||||
\(342\) | 0.186412 | + | 0.709450i | 0.0100800 | + | 0.0383627i | ||||
\(343\) | −6.11820 | + | 17.4805i | −0.330352 | + | 0.943858i | ||||
\(344\) | −1.24061 | −0.0668891 | ||||||||
\(345\) | −2.08203 | − | 5.06117i | −0.112093 | − | 0.272484i | ||||
\(346\) | 7.79711 | + | 13.5050i | 0.419175 | + | 0.726033i | ||||
\(347\) | 0.436830 | − | 0.252204i | 0.0234503 | − | 0.0135390i | −0.488229 | − | 0.872716i | \(-0.662357\pi\) |
0.511679 | + | 0.859177i | \(0.329024\pi\) | |||||||
\(348\) | −5.63751 | + | 2.31913i | −0.302202 | + | 0.124318i | ||||
\(349\) | 22.5405 | 1.20656 | 0.603282 | − | 0.797528i | \(-0.293859\pi\) | ||||
0.603282 | + | 0.797528i | \(0.293859\pi\) | |||||||
\(350\) | 1.08494 | − | 9.62691i | 0.0579927 | − | 0.514580i | ||||
\(351\) | 8.99013 | − | 16.4371i | 0.479858 | − | 0.877346i | ||||
\(352\) | −1.85690 | + | 3.21624i | −0.0989728 | + | 0.171426i | ||||
\(353\) | −13.8668 | + | 8.00600i | −0.738055 | + | 0.426116i | −0.821362 | − | 0.570408i | \(-0.806785\pi\) |
0.0833068 | + | 0.996524i | \(0.473452\pi\) | |||||||
\(354\) | 0.745560 | − | 5.55884i | 0.0396260 | − | 0.295449i | ||||
\(355\) | −14.7032 | − | 8.48889i | −0.780364 | − | 0.450543i | ||||
\(356\) | 9.37514i | 0.496881i | ||||||||
\(357\) | 0.112823 | − | 0.0322043i | 0.00597121 | − | 0.00170443i | ||||
\(358\) | 3.95866i | 0.209222i | ||||||||
\(359\) | −7.67875 | + | 13.3000i | −0.405269 | + | 0.701947i | −0.994353 | − | 0.106125i | \(-0.966156\pi\) |
0.589084 | + | 0.808072i | \(0.299489\pi\) | |||||||
\(360\) | −2.44214 | − | 2.46596i | −0.128712 | − | 0.129967i | ||||
\(361\) | 9.47011 | + | 16.4027i | 0.498427 | + | 0.863300i | ||||
\(362\) | −0.371664 | − | 0.214580i | −0.0195342 | − | 0.0112781i | ||||
\(363\) | −2.95345 | + | 3.82974i | −0.155016 | + | 0.201009i | ||||
\(364\) | 2.91787 | + | 9.08218i | 0.152938 | + | 0.476036i | ||||
\(365\) | − | 1.81458i | − | 0.0949795i | ||||||
\(366\) | −18.9498 | + | 7.79545i | −0.990520 | + | 0.407474i | ||||
\(367\) | −27.0095 | + | 15.5939i | −1.40988 | + | 0.813996i | −0.995376 | − | 0.0960509i | \(-0.969379\pi\) |
−0.414506 | + | 0.910047i | \(0.636045\pi\) | |||||||
\(368\) | −2.36531 | + | 1.36561i | −0.123300 | + | 0.0711875i | ||||
\(369\) | 0.372734 | − | 1.36454i | 0.0194037 | − | 0.0710353i | ||||
\(370\) | 11.0849 | 0.576278 | ||||||||
\(371\) | 7.87407 | + | 18.0488i | 0.408801 | + | 0.937048i | ||||
\(372\) | 4.75181 | − | 6.16167i | 0.246370 | − | 0.319468i | ||||
\(373\) | 2.30810 | − | 3.99775i | 0.119509 | − | 0.206996i | −0.800064 | − | 0.599914i | \(-0.795201\pi\) |
0.919573 | + | 0.392919i | \(0.128535\pi\) | |||||||
\(374\) | 0.0475426 | + | 0.0823462i | 0.00245837 | + | 0.00425802i | ||||
\(375\) | −2.30712 | + | 17.2018i | −0.119139 | + | 0.888296i | ||||
\(376\) | −0.203606 | − | 0.117552i | −0.0105002 | − | 0.00606228i | ||||
\(377\) | −12.6256 | − | 1.27335i | −0.650249 | − | 0.0655809i | ||||
\(378\) | 7.00909 | + | 11.8268i | 0.360509 | + | 0.608304i | ||||
\(379\) | − | 3.52362i | − | 0.180996i | −0.995897 | − | 0.0904982i | \(-0.971154\pi\) | ||
0.995897 | − | 0.0904982i | \(-0.0288459\pi\) | |||||||
\(380\) | 0.244969 | + | 0.141433i | 0.0125666 | + | 0.00725535i | ||||
\(381\) | −15.1590 | − | 2.03315i | −0.776619 | − | 0.104161i | ||||
\(382\) | 1.57425 | − | 0.908893i | 0.0805456 | − | 0.0465030i | ||||
\(383\) | 1.24813 | + | 0.720607i | 0.0637763 | + | 0.0368213i | 0.531549 | − | 0.847027i | \(-0.321610\pi\) |
−0.467773 | + | 0.883849i | \(0.654943\pi\) | |||||||
\(384\) | −1.05774 | + | 1.37157i | −0.0539774 | + | 0.0699924i | ||||
\(385\) | 11.2956 | + | 1.27300i | 0.575676 | + | 0.0648781i | ||||
\(386\) | 19.7946i | 1.00752i | ||||||||
\(387\) | −3.59029 | − | 0.980711i | −0.182505 | − | 0.0498523i | ||||
\(388\) | −6.39773 | − | 11.0812i | −0.324795 | − | 0.562562i | ||||
\(389\) | −7.08963 | + | 4.09320i | −0.359459 | + | 0.207533i | −0.668843 | − | 0.743403i | \(-0.733210\pi\) |
0.309385 | + | 0.950937i | \(0.399877\pi\) | |||||||
\(390\) | −2.06422 | − | 6.92345i | −0.104526 | − | 0.350582i | ||||
\(391\) | 0.0699283i | 0.00353643i | ||||||||
\(392\) | −6.82442 | − | 1.55800i | −0.344685 | − | 0.0786908i | ||||
\(393\) | −14.9575 | + | 19.3953i | −0.754505 | + | 0.978366i | ||||
\(394\) | −12.6222 | + | 21.8623i | −0.635898 | + | 1.10141i | ||||
\(395\) | −6.03661 | + | 3.48524i | −0.303735 | + | 0.175362i | ||||
\(396\) | −7.91627 | + | 7.83982i | −0.397808 | + | 0.393966i | ||||
\(397\) | 6.43999 | − | 11.1544i | 0.323214 | − | 0.559823i | −0.657935 | − | 0.753074i | \(-0.728570\pi\) |
0.981149 | + | 0.193252i | \(0.0619034\pi\) | |||||||
\(398\) | − | 6.16568i | − | 0.309058i | ||||||
\(399\) | −0.805073 | − | 0.779327i | −0.0403041 | − | 0.0390152i | ||||
\(400\) | 3.66166 | 0.183083 | ||||||||
\(401\) | 4.27201 | − | 7.39934i | 0.213334 | − | 0.369505i | −0.739422 | − | 0.673242i | \(-0.764901\pi\) |
0.952756 | + | 0.303737i | \(0.0982344\pi\) | |||||||
\(402\) | 1.65927 | − | 12.3714i | 0.0827567 | − | 0.617029i | ||||
\(403\) | 14.7695 | − | 6.65035i | 0.735721 | − | 0.331278i | ||||
\(404\) | −5.03494 | + | 8.72077i | −0.250498 | + | 0.433874i | ||||
\(405\) | −5.11815 | − | 9.06696i | −0.254323 | − | 0.450541i | ||||
\(406\) | 5.52962 | − | 7.49197i | 0.274431 | − | 0.371820i | ||||
\(407\) | − | 35.5851i | − | 1.76389i | ||||||
\(408\) | 0.0168711 | + | 0.0410116i | 0.000835244 | + | 0.00203037i | ||||
\(409\) | −10.1026 | − | 17.4982i | −0.499542 | − | 0.865232i | 0.500458 | − | 0.865761i | \(-0.333165\pi\) |
−1.00000 | 0.000529035i | \(0.999832\pi\) | ||||||||
\(410\) | −0.272738 | − | 0.472395i | −0.0134695 | − | 0.0233299i | ||||
\(411\) | −8.83908 | − | 21.4867i | −0.436000 | − | 1.05986i | ||||
\(412\) | − | 10.1874i | − | 0.501898i | ||||||
\(413\) | 3.42579 | + | 7.85256i | 0.168572 | + | 0.386399i | ||||
\(414\) | −7.92468 | + | 2.08225i | −0.389477 | + | 0.102337i | ||||
\(415\) | 2.10704 | − | 3.64949i | 0.103430 | − | 0.179147i | ||||
\(416\) | −3.28764 | + | 1.48035i | −0.161190 | + | 0.0725799i | ||||
\(417\) | −3.46667 | + | 25.8472i | −0.169763 | + | 1.26575i | ||||
\(418\) | 0.454031 | − | 0.786404i | 0.0222074 | − | 0.0384643i | ||||
\(419\) | 2.16600 | 0.105816 | 0.0529081 | − | 0.998599i | \(-0.483151\pi\) | ||||
0.0529081 | + | 0.998599i | \(0.483151\pi\) | |||||||
\(420\) | 5.14240 | + | 1.28873i | 0.250923 | + | 0.0628835i | ||||
\(421\) | 14.2671i | 0.695334i | 0.937618 | + | 0.347667i | \(0.113026\pi\) | ||||
−0.937618 | + | 0.347667i | \(0.886974\pi\) | |||||||
\(422\) | 1.99089 | − | 3.44833i | 0.0969152 | − | 0.167862i | ||||
\(423\) | −0.496305 | − | 0.501145i | −0.0241312 | − | 0.0243665i | ||||
\(424\) | −6.44560 | + | 3.72137i | −0.313026 | + | 0.180726i | ||||
\(425\) | 0.0468753 | − | 0.0811904i | 0.00227379 | − | 0.00393831i | ||||
\(426\) | −15.5230 | + | 20.1287i | −0.752092 | + | 0.975237i | ||||
\(427\) | 18.5871 | − | 25.1833i | 0.899494 | − | 1.21871i | ||||
\(428\) | 18.1776i | 0.878648i | ||||||||
\(429\) | −22.2258 | + | 6.62660i | −1.07307 | + | 0.319935i | ||||
\(430\) | −1.24293 | + | 0.717608i | −0.0599396 | + | 0.0346061i | ||||
\(431\) | −17.2738 | − | 29.9190i | −0.832048 | − | 1.44115i | −0.896412 | − | 0.443222i | \(-0.853835\pi\) |
0.0643642 | − | 0.997926i | \(-0.479498\pi\) | |||||||
\(432\) | −4.14530 | + | 3.13313i | −0.199441 | + | 0.150743i | ||||
\(433\) | 0.715483i | 0.0343839i | 0.999852 | + | 0.0171920i | \(0.00547264\pi\) | ||||
−0.999852 | + | 0.0171920i | \(0.994527\pi\) | |||||||
\(434\) | −1.33110 | + | 11.8111i | −0.0638947 | + | 0.566950i | ||||
\(435\) | −4.30662 | + | 5.58439i | −0.206487 | + | 0.267751i | ||||
\(436\) | 2.40616 | + | 1.38920i | 0.115234 | + | 0.0665306i | ||||
\(437\) | 0.578343 | − | 0.333907i | 0.0276659 | − | 0.0159729i | ||||
\(438\) | −2.69267 | − | 0.361144i | −0.128661 | − | 0.0172561i | ||||
\(439\) | 15.5035 | + | 8.95097i | 0.739944 | + | 0.427207i | 0.822049 | − | 0.569417i | \(-0.192831\pi\) |
−0.0821052 | + | 0.996624i | \(0.526164\pi\) | |||||||
\(440\) | 4.29635i | 0.204821i | ||||||||
\(441\) | −18.5181 | − | 9.90356i | −0.881813 | − | 0.471598i | ||||
\(442\) | −0.00926333 | + | 0.0918479i | −0.000440612 | + | 0.00436876i | ||||
\(443\) | −14.3289 | − | 8.27278i | −0.680785 | − | 0.393052i | 0.119366 | − | 0.992850i | \(-0.461914\pi\) |
−0.800151 | + | 0.599799i | \(0.795247\pi\) | |||||||
\(444\) | 2.20616 | − | 16.4490i | 0.104700 | − | 0.780635i | ||||
\(445\) | 5.42288 | + | 9.39271i | 0.257069 | + | 0.445257i | ||||
\(446\) | 1.01738 | − | 1.76216i | 0.0481745 | − | 0.0834407i | ||||
\(447\) | 9.99775 | − | 12.9641i | 0.472877 | − | 0.613180i | ||||
\(448\) | 0.296298 | − | 2.62911i | 0.0139988 | − | 0.124214i | ||||
\(449\) | −26.7037 | −1.26023 | −0.630113 | − | 0.776503i | \(-0.716991\pi\) | ||||
−0.630113 | + | 0.776503i | \(0.716991\pi\) | |||||||
\(450\) | 10.5968 | + | 2.89458i | 0.499536 | + | 0.136452i | ||||
\(451\) | −1.51649 | + | 0.875548i | −0.0714089 | + | 0.0412279i | ||||
\(452\) | 16.1398 | − | 9.31833i | 0.759153 | − | 0.438297i | ||||
\(453\) | −24.0075 | + | 9.87608i | −1.12797 | + | 0.464019i | ||||
\(454\) | − | 18.0139i | − | 0.845433i | ||||||
\(455\) | 8.17677 | + | 7.41142i | 0.383333 | + | 0.347453i | ||||
\(456\) | 0.258628 | − | 0.335362i | 0.0121114 | − | 0.0157048i | ||||
\(457\) | 32.4759 | + | 18.7500i | 1.51916 | + | 0.877087i | 0.999745 | + | 0.0225635i | \(0.00718280\pi\) |
0.519413 | + | 0.854523i | \(0.326151\pi\) | |||||||
\(458\) | −9.36691 | − | 16.2240i | −0.437687 | − | 0.758096i | ||||
\(459\) | 0.0164046 | + | 0.132023i | 0.000765700 | + | 0.00616232i | ||||
\(460\) | −1.57983 | + | 2.73634i | −0.0736599 | + | 0.127583i | ||||
\(461\) | 8.31097i | 0.387080i | 0.981092 | + | 0.193540i | \(0.0619970\pi\) | ||||
−0.981092 | + | 0.193540i | \(0.938003\pi\) | |||||||
\(462\) | 4.13710 | − | 16.5082i | 0.192475 | − | 0.768032i | ||||
\(463\) | − | 28.8122i | − | 1.33902i | −0.742805 | − | 0.669508i | \(-0.766505\pi\) | ||
0.742805 | − | 0.669508i | \(-0.233495\pi\) | |||||||
\(464\) | 3.04794 | + | 1.75973i | 0.141497 | + | 0.0816935i | ||||
\(465\) | 1.19661 | − | 8.92182i | 0.0554913 | − | 0.413739i | ||||
\(466\) | −17.0834 | + | 9.86309i | −0.791372 | + | 0.456899i | ||||
\(467\) | −10.3800 | + | 17.9787i | −0.480328 | + | 0.831953i | −0.999745 | − | 0.0225677i | \(-0.992816\pi\) |
0.519417 | + | 0.854521i | \(0.326149\pi\) | |||||||
\(468\) | −10.6846 | + | 1.68518i | −0.493895 | + | 0.0778974i | ||||
\(469\) | 7.62422 | + | 17.4761i | 0.352054 | + | 0.806972i | ||||
\(470\) | −0.271983 | −0.0125457 | ||||||||
\(471\) | 2.78137 | − | 1.14418i | 0.128159 | − | 0.0527212i | ||||
\(472\) | −2.80431 | + | 1.61907i | −0.129079 | + | 0.0745237i | ||||
\(473\) | 2.30368 | + | 3.99009i | 0.105923 | + | 0.183465i | ||||
\(474\) | 3.97034 | + | 9.65142i | 0.182364 | + | 0.443304i | ||||
\(475\) | −0.895316 | −0.0410799 | ||||||||
\(476\) | −0.0545023 | − | 0.0402267i | −0.00249811 | − | 0.00184379i | ||||
\(477\) | −21.5952 | + | 5.67426i | −0.988776 | + | 0.259806i | ||||
\(478\) | −10.0708 | + | 17.4432i | −0.460629 | + | 0.797833i | ||||
\(479\) | 15.1644 | − | 8.75519i | 0.692881 | − | 0.400035i | −0.111809 | − | 0.993730i | \(-0.535665\pi\) |
0.804690 | + | 0.593695i | \(0.202331\pi\) | |||||||
\(480\) | −0.266360 | + | 1.98597i | −0.0121576 | + | 0.0906465i | ||||
\(481\) | 20.1891 | − | 28.0350i | 0.920542 | − | 1.27829i | ||||
\(482\) | −22.2718 | −1.01445 | ||||||||
\(483\) | 8.70522 | − | 8.99280i | 0.396101 | − | 0.409187i | ||||
\(484\) | 2.79224 | 0.126920 | ||||||||
\(485\) | −12.8194 | − | 7.40130i | −0.582101 | − | 0.336076i | ||||
\(486\) | −14.4732 | + | 5.79031i | −0.656516 | + | 0.262654i | ||||
\(487\) | 0.122893 | − | 0.0709520i | 0.00556879 | − | 0.00321514i | −0.497213 | − | 0.867628i | \(-0.665643\pi\) |
0.502782 | + | 0.864413i | \(0.332310\pi\) | |||||||
\(488\) | 10.2453 | + | 5.91511i | 0.463782 | + | 0.267765i | ||||
\(489\) | −17.4487 | − | 13.4562i | −0.789056 | − | 0.608511i | ||||
\(490\) | −7.73840 | + | 2.38654i | −0.349585 | + | 0.107813i | ||||
\(491\) | 10.0187i | 0.452138i | 0.974111 | + | 0.226069i | \(0.0725875\pi\) | ||||
−0.974111 | + | 0.226069i | \(0.927413\pi\) | |||||||
\(492\) | −0.755272 | + | 0.310699i | −0.0340503 | + | 0.0140074i | ||||
\(493\) | 0.0780373 | − | 0.0450549i | 0.00351463 | − | 0.00202917i | ||||
\(494\) | 0.803863 | − | 0.361960i | 0.0361675 | − | 0.0162854i | ||||
\(495\) | −3.39630 | + | 12.4335i | −0.152652 | + | 0.558846i | ||||
\(496\) | −4.49243 | −0.201716 | ||||||||
\(497\) | 4.34837 | − | 38.5839i | 0.195051 | − | 1.73073i | ||||
\(498\) | −4.99616 | − | 3.85298i | −0.223883 | − | 0.172656i | ||||
\(499\) | −9.05469 | − | 5.22772i | −0.405343 | − | 0.234025i | 0.283444 | − | 0.958989i | \(-0.408523\pi\) |
−0.688787 | + | 0.724964i | \(0.741856\pi\) | |||||||
\(500\) | 8.67790 | − | 5.01019i | 0.388087 | − | 0.224062i | ||||
\(501\) | −1.57842 | + | 11.7686i | −0.0705186 | + | 0.525782i | ||||
\(502\) | −10.2782 | + | 17.8023i | −0.458737 | + | 0.794556i | ||||
\(503\) | −13.6155 | −0.607083 | −0.303542 | − | 0.952818i | \(-0.598169\pi\) | ||||
−0.303542 | + | 0.952818i | \(0.598169\pi\) | |||||||
\(504\) | 2.93581 | − | 7.37435i | 0.130771 | − | 0.328480i | ||||
\(505\) | 11.6495i | 0.518395i | ||||||||
\(506\) | 8.78427 | + | 5.07160i | 0.390508 | + | 0.225460i | ||||
\(507\) | −21.2697 | − | 7.38909i | −0.944622 | − | 0.328161i | ||||
\(508\) | 4.41521 | + | 7.64737i | 0.195893 | + | 0.339297i | ||||
\(509\) | 8.06558 | + | 4.65666i | 0.357500 | + | 0.206403i | 0.667984 | − | 0.744176i | \(-0.267158\pi\) |
−0.310483 | + | 0.950579i | \(0.600491\pi\) | |||||||
\(510\) | 0.0406251 | + | 0.0313296i | 0.00179891 | + | 0.00138730i | ||||
\(511\) | 3.80373 | − | 1.65943i | 0.168267 | − | 0.0734090i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 1.01357 | − | 0.766084i | 0.0447502 | − | 0.0338234i | ||||
\(514\) | 5.10857 | + | 8.84830i | 0.225329 | + | 0.390282i | ||||
\(515\) | −5.89273 | − | 10.2065i | −0.259665 | − | 0.449753i | ||||
\(516\) | 0.817490 | + | 1.98722i | 0.0359880 | + | 0.0874824i | ||||
\(517\) | 0.873127i | 0.0384001i | ||||||||
\(518\) | 10.1372 | + | 23.2363i | 0.445401 | + | 1.02094i | ||||
\(519\) | 16.4946 | − | 21.3885i | 0.724032 | − | 0.938851i | ||||
\(520\) | −2.43752 | + | 3.38480i | −0.106892 | + | 0.148433i | ||||
\(521\) | 6.86110 | + | 11.8838i | 0.300590 | + | 0.520637i | 0.976270 | − | 0.216558i | \(-0.0694830\pi\) |
−0.675680 | + | 0.737195i | \(0.736150\pi\) | |||||||
\(522\) | 7.42960 | + | 7.50205i | 0.325185 | + | 0.328356i | ||||
\(523\) | −23.6617 | − | 13.6611i | −1.03465 | − | 0.597358i | −0.116340 | − | 0.993209i | \(-0.537116\pi\) |
−0.918315 | + | 0.395851i | \(0.870450\pi\) | |||||||
\(524\) | 14.1410 | 0.617753 | ||||||||
\(525\) | −16.1354 | + | 4.60571i | −0.704206 | + | 0.201010i | ||||
\(526\) | 28.1563i | 1.22768i | ||||||||
\(527\) | −0.0575105 | + | 0.0996111i | −0.00250520 | + | 0.00433913i | ||||
\(528\) | 6.37539 | + | 0.855076i | 0.277453 | + | 0.0372124i | ||||
\(529\) | −7.77021 | − | 13.4584i | −0.337835 | − | 0.585147i | ||||
\(530\) | −4.30512 | + | 7.45669i | −0.187003 | + | 0.323898i | ||||
\(531\) | −9.39549 | + | 2.46872i | −0.407729 | + | 0.107133i | ||||
\(532\) | −0.0724480 | + | 0.642845i | −0.00314102 | + | 0.0278709i | ||||
\(533\) | −1.69148 | − | 0.170594i | −0.0732661 | − | 0.00738925i | ||||
\(534\) | 15.0172 | − | 6.17768i | 0.649857 | − | 0.267334i | ||||
\(535\) | 10.5145 | + | 18.2117i | 0.454582 | + | 0.787360i | ||||
\(536\) | −6.24108 | + | 3.60329i | −0.269574 | + | 0.155638i | ||||
\(537\) | 6.34101 | − | 2.60853i | 0.273635 | − | 0.112566i | ||||
\(538\) | −29.3643 | −1.26599 | ||||||||
\(539\) | 7.66133 | + | 24.8420i | 0.329997 | + | 1.07002i | ||||
\(540\) | −2.34076 | + | 5.53678i | −0.100730 | + | 0.238265i | ||||
\(541\) | 5.89940 | + | 3.40602i | 0.253635 | + | 0.146436i | 0.621428 | − | 0.783472i | \(-0.286553\pi\) |
−0.367793 | + | 0.929908i | \(0.619886\pi\) | |||||||
\(542\) | −14.2082 | − | 24.6093i | −0.610293 | − | 1.05706i | ||||
\(543\) | −0.0988114 | + | 0.736731i | −0.00424040 | + | 0.0316162i | ||||
\(544\) | 0.0128016 | − | 0.0221731i | 0.000548866 | − | 0.000950663i | ||||
\(545\) | 3.21423 | 0.137682 | ||||||||
\(546\) | 12.6252 | − | 10.6585i | 0.540309 | − | 0.456142i | ||||
\(547\) | 14.2644 | 0.609901 | 0.304951 | − | 0.952368i | \(-0.401360\pi\) | ||||
0.304951 | + | 0.952368i | \(0.401360\pi\) | |||||||
\(548\) | −6.70701 | + | 11.6169i | −0.286509 | + | 0.496249i | ||||
\(549\) | 24.9736 | + | 25.2172i | 1.06585 | + | 1.07624i | ||||
\(550\) | −6.79933 | − | 11.7768i | −0.289924 | − | 0.502164i | ||||
\(551\) | −0.745255 | − | 0.430273i | −0.0317489 | − | 0.0183302i | ||||
\(552\) | 3.74606 | + | 2.88892i | 0.159443 | + | 0.122960i | ||||
\(553\) | −12.8263 | − | 9.46672i | −0.545428 | − | 0.402566i | ||||
\(554\) | 27.6535 | 1.17489 | ||||||||
\(555\) | −7.30434 | − | 17.7559i | −0.310052 | − | 0.753698i | ||||
\(556\) | 13.0393 | − | 7.52827i | 0.552991 | − | 0.319270i | ||||
\(557\) | −10.8866 | − | 18.8561i | −0.461279 | − | 0.798958i | 0.537746 | − | 0.843107i | \(-0.319276\pi\) |
−0.999025 | + | 0.0441487i | \(0.985942\pi\) | |||||||
\(558\) | −13.0010 | − | 3.55130i | −0.550376 | − | 0.150339i | ||||
\(559\) | −0.448855 | + | 4.45050i | −0.0189846 | + | 0.188236i | ||||
\(560\) | −1.22391 | − | 2.80542i | −0.0517195 | − | 0.118551i | ||||
\(561\) | 0.100575 | − | 0.130416i | 0.00424628 | − | 0.00550615i | ||||
\(562\) | −6.18049 | + | 10.7049i | −0.260708 | + | 0.451560i | ||||
\(563\) | 5.19862 | + | 9.00428i | 0.219096 | + | 0.379485i | 0.954532 | − | 0.298109i | \(-0.0963560\pi\) |
−0.735436 | + | 0.677594i | \(0.763023\pi\) | |||||||
\(564\) | −0.0541311 | + | 0.403598i | −0.00227933 | + | 0.0169945i | ||||
\(565\) | 10.7800 | − | 18.6716i | 0.453520 | − | 0.785520i | ||||
\(566\) | 13.6723i | 0.574690i | ||||||||
\(567\) | 14.3256 | − | 19.0204i | 0.601621 | − | 0.798782i | ||||
\(568\) | 14.6757 | 0.615778 | ||||||||
\(569\) | −14.6618 | − | 8.46500i | −0.614655 | − | 0.354871i | 0.160130 | − | 0.987096i | \(-0.448809\pi\) |
−0.774785 | + | 0.632225i | \(0.782142\pi\) | |||||||
\(570\) | 0.0651280 | − | 0.485590i | 0.00272791 | − | 0.0203391i | ||||
\(571\) | 8.19990 | + | 14.2026i | 0.343155 | + | 0.594362i | 0.985017 | − | 0.172458i | \(-0.0551710\pi\) |
−0.641862 | + | 0.766820i | \(0.721838\pi\) | |||||||
\(572\) | 10.8659 | + | 7.82498i | 0.454328 | + | 0.327179i | ||||
\(573\) | −2.49321 | − | 1.92274i | −0.104156 | − | 0.0803236i | ||||
\(574\) | 0.740818 | − | 1.00372i | 0.0309211 | − | 0.0418944i | ||||
\(575\) | − | 10.0008i | − | 0.417063i | ||||||
\(576\) | 2.89398 | + | 0.790508i | 0.120582 | + | 0.0329378i | ||||
\(577\) | 11.8397 | + | 20.5070i | 0.492894 | + | 0.853718i | 0.999966 | − | 0.00818553i | \(-0.00260556\pi\) |
−0.507072 | + | 0.861904i | \(0.669272\pi\) | |||||||
\(578\) | 8.49967 | + | 14.7219i | 0.353540 | + | 0.612349i | ||||
\(579\) | 31.7071 | − | 13.0435i | 1.31770 | − | 0.542069i | ||||
\(580\) | 4.07154 | 0.169062 | ||||||||
\(581\) | 9.57696 | + | 1.07931i | 0.397319 | + | 0.0447775i | ||||
\(582\) | −13.5342 | + | 17.5498i | −0.561011 | + | 0.727463i | ||||
\(583\) | 23.9376 | + | 13.8204i | 0.991395 | + | 0.572382i | ||||
\(584\) | 0.784266 | + | 1.35839i | 0.0324532 | + | 0.0562106i | ||||
\(585\) | −9.72984 | + | 7.86864i | −0.402279 | + | 0.325328i | ||||
\(586\) | 3.64292 | + | 2.10324i | 0.150488 | + | 0.0868842i | ||||
\(587\) | − | 43.3060i | − | 1.78743i | −0.448633 | − | 0.893716i | \(-0.648089\pi\) | ||
0.448633 | − | 0.893716i | \(-0.351911\pi\) | |||||||
\(588\) | 2.00128 | + | 11.9580i | 0.0825316 | + | 0.493141i | ||||
\(589\) | 1.09845 | 0.0452607 | ||||||||
\(590\) | −1.87304 | + | 3.24421i | −0.0771120 | + | 0.133562i | ||||
\(591\) | 43.3366 | + | 5.81236i | 1.78263 | + | 0.239089i | ||||
\(592\) | −8.29815 | + | 4.79094i | −0.341052 | + | 0.196906i | ||||
\(593\) | 18.9754 | + | 10.9554i | 0.779226 | + | 0.449886i | 0.836156 | − | 0.548492i | \(-0.184798\pi\) |
−0.0569301 | + | 0.998378i | \(0.518131\pi\) | |||||||
\(594\) | 17.7743 | + | 7.51436i | 0.729287 | + | 0.308318i | ||||
\(595\) | −0.0778729 | − | 0.00877620i | −0.00319248 | − | 0.000359789i | ||||
\(596\) | −9.45202 | −0.387170 | ||||||||
\(597\) | −9.87624 | + | 4.06283i | −0.404208 | + | 0.166281i | ||||
\(598\) | 4.04316 | + | 8.97928i | 0.165337 | + | 0.367190i | ||||
\(599\) | −39.3065 | + | 22.6936i | −1.60602 | + | 0.927237i | −0.615773 | + | 0.787923i | \(0.711156\pi\) |
−0.990248 | + | 0.139314i | \(0.955510\pi\) | |||||||
\(600\) | −2.41283 | − | 5.86529i | −0.0985033 | − | 0.239449i | ||||
\(601\) | − | 8.20455i | − | 0.334671i | −0.985900 | − | 0.167335i | \(-0.946484\pi\) | ||
0.985900 | − | 0.167335i | \(-0.0535163\pi\) | |||||||
\(602\) | −2.64091 | − | 1.94919i | −0.107636 | − | 0.0794430i | ||||
\(603\) | −20.9100 | + | 5.49421i | −0.851520 | + | 0.223741i | ||||
\(604\) | 12.9798 | + | 7.49388i | 0.528140 | + | 0.304922i | ||||
\(605\) | 2.79747 | − | 1.61512i | 0.113733 | − | 0.0656640i | ||||
\(606\) | 17.2867 | + | 2.31852i | 0.702226 | + | 0.0941835i | ||||
\(607\) | −24.0464 | − | 13.8832i | −0.976012 | − | 0.563501i | −0.0749481 | − | 0.997187i | \(-0.523879\pi\) |
−0.901064 | + | 0.433687i | \(0.857212\pi\) | |||||||
\(608\) | −0.244511 | −0.00991621 | ||||||||
\(609\) | −15.6444 | − | 3.92062i | −0.633944 | − | 0.158872i | ||||
\(610\) | 13.6860 | 0.554129 | ||||||||
\(611\) | −0.495366 | + | 0.687876i | −0.0200403 | + | 0.0278285i | ||||
\(612\) | 0.0545756 | − | 0.0540486i | 0.00220609 | − | 0.00218478i | ||||
\(613\) | 15.8517 | − | 9.15200i | 0.640245 | − | 0.369646i | −0.144464 | − | 0.989510i | \(-0.546146\pi\) |
0.784709 | + | 0.619864i | \(0.212812\pi\) | |||||||
\(614\) | 10.5746 | − | 18.3157i | 0.426756 | − | 0.739163i | ||||
\(615\) | −0.576969 | + | 0.748155i | −0.0232656 | + | 0.0301685i | ||||
\(616\) | −9.00603 | + | 3.92901i | −0.362863 | + | 0.158304i | ||||
\(617\) | −22.1693 | −0.892502 | −0.446251 | − | 0.894908i | \(-0.647241\pi\) | ||||
−0.446251 | + | 0.894908i | \(0.647241\pi\) | |||||||
\(618\) | −16.3183 | + | 6.71293i | −0.656419 | + | 0.270034i | ||||
\(619\) | −19.7675 | − | 34.2384i | −0.794525 | − | 1.37616i | −0.923140 | − | 0.384463i | \(-0.874387\pi\) |
0.128616 | − | 0.991695i | \(-0.458947\pi\) | |||||||
\(620\) | −4.50085 | + | 2.59857i | −0.180759 | + | 0.104361i | ||||
\(621\) | 8.55728 | + | 11.3217i | 0.343392 | + | 0.454326i | ||||
\(622\) | −31.3509 | −1.25706 | ||||||||
\(623\) | −14.7298 | + | 19.9571i | −0.590137 | + | 0.799564i | ||||
\(624\) | 4.53760 | + | 4.29071i | 0.181649 | + | 0.171766i | ||||
\(625\) | −3.35805 | + | 5.81632i | −0.134322 | + | 0.232653i | ||||
\(626\) | −28.3855 | + | 16.3884i | −1.13451 | + | 0.655011i | ||||
\(627\) | −1.55885 | − | 0.209075i | −0.0622545 | − | 0.00834965i | ||||
\(628\) | −1.50376 | − | 0.868197i | −0.0600066 | − | 0.0346448i | ||||
\(629\) | 0.245327i | 0.00978184i | ||||||||
\(630\) | −1.32425 | − | 9.08634i | −0.0527594 | − | 0.362008i | ||||
\(631\) | 38.3301i | 1.52590i | 0.646460 | + | 0.762948i | \(0.276249\pi\) | ||||
−0.646460 | + | 0.762948i | \(0.723751\pi\) | |||||||
\(632\) | 3.01266 | − | 5.21808i | 0.119837 | − | 0.207564i | ||||
\(633\) | −6.83545 | − | 0.916780i | −0.271685 | − | 0.0364387i | ||||
\(634\) | 11.1137 | + | 19.2495i | 0.441382 | + | 0.764497i | ||||
\(635\) | 8.84697 | + | 5.10780i | 0.351081 | + | 0.202697i | ||||
\(636\) | 10.2082 | + | 7.87246i | 0.404782 | + | 0.312163i | ||||
\(637\) | −8.05818 | + | 23.9179i | −0.319277 | + | 0.947662i | ||||
\(638\) | − | 13.0706i | − | 0.517468i | ||||||
\(639\) | 42.4711 | + | 11.6012i | 1.68013 | + | 0.458938i | ||||
\(640\) | 1.00187 | − | 0.578432i | 0.0396026 | − | 0.0228645i | ||||
\(641\) | 13.7967 | − | 7.96553i | 0.544937 | − | 0.314620i | −0.202140 | − | 0.979357i | \(-0.564790\pi\) |
0.747077 | + | 0.664737i | \(0.231456\pi\) | |||||||
\(642\) | 29.1171 | − | 11.9780i | 1.14916 | − | 0.472734i | ||||
\(643\) | −20.5219 | −0.809303 | −0.404652 | − | 0.914471i | \(-0.632607\pi\) | ||||
−0.404652 | + | 0.914471i | \(0.632607\pi\) | |||||||
\(644\) | −7.18068 | − | 0.809256i | −0.282959 | − | 0.0318892i | ||||
\(645\) | 1.96849 | + | 1.51808i | 0.0775094 | + | 0.0597743i | ||||
\(646\) | −0.00313014 | + | 0.00542155i | −0.000123154 | + | 0.000213308i | ||||
\(647\) | −17.2187 | − | 29.8237i | −0.676938 | − | 1.17249i | −0.975898 | − | 0.218226i | \(-0.929973\pi\) |
0.298960 | − | 0.954266i | \(-0.403360\pi\) | |||||||
\(648\) | 7.75019 | + | 4.57542i | 0.304456 | + | 0.179740i | ||||
\(649\) | 10.4146 | + | 6.01288i | 0.408809 | + | 0.236026i | ||||
\(650\) | 1.32480 | − | 13.1357i | 0.0519629 | − | 0.515224i | ||||
\(651\) | 19.7962 | − | 5.65067i | 0.775875 | − | 0.221467i | ||||
\(652\) | 12.7217i | 0.498221i | ||||||||
\(653\) | −15.3842 | − | 8.88210i | −0.602032 | − | 0.347583i | 0.167808 | − | 0.985820i | \(-0.446331\pi\) |
−0.769841 | + | 0.638236i | \(0.779664\pi\) | |||||||
\(654\) | 0.639708 | − | 4.76962i | 0.0250145 | − | 0.186507i | ||||
\(655\) | 14.1675 | − | 8.17963i | 0.553571 | − | 0.319604i | ||||
\(656\) | 0.408341 | + | 0.235756i | 0.0159430 | + | 0.00920472i | ||||
\(657\) | 1.19583 | + | 4.55112i | 0.0466538 | + | 0.177556i | ||||
\(658\) | −0.248729 | − | 0.570132i | −0.00969646 | − | 0.0222261i | ||||
\(659\) | 9.50676i | 0.370331i | 0.982707 | + | 0.185165i | \(0.0592821\pi\) | ||||
−0.982707 | + | 0.185165i | \(0.940718\pi\) | |||||||
\(660\) | 6.88194 | − | 2.83105i | 0.267879 | − | 0.110199i | ||||
\(661\) | −17.2613 | − | 29.8975i | −0.671387 | − | 1.16288i | −0.977511 | − | 0.210885i | \(-0.932366\pi\) |
0.306124 | − | 0.951992i | \(-0.400968\pi\) | |||||||
\(662\) | 16.0419 | − | 9.26179i | 0.623486 | − | 0.359970i | ||||
\(663\) | 0.153227 | − | 0.0456845i | 0.00595084 | − | 0.00177424i | ||||
\(664\) | 3.64267i | 0.141363i | ||||||||
\(665\) | 0.299258 | + | 0.685956i | 0.0116047 | + | 0.0266002i | ||||
\(666\) | −27.8019 | + | 7.30510i | −1.07730 | + | 0.283067i | ||||
\(667\) | 4.80622 | − | 8.32462i | 0.186098 | − | 0.322331i | ||||
\(668\) | 5.93699 | − | 3.42772i | 0.229709 | − | 0.132622i | ||||
\(669\) | −3.49304 | − | 0.468492i | −0.135049 | − | 0.0181129i | ||||
\(670\) | −4.16852 | + | 7.22009i | −0.161044 | + | 0.278936i | ||||
\(671\) | − | 43.9350i | − | 1.69609i | ||||||
\(672\) | −4.40657 | + | 1.25782i | −0.169987 | + | 0.0485214i | ||||
\(673\) | −30.8952 | −1.19092 | −0.595460 | − | 0.803385i | \(-0.703030\pi\) | ||||
−0.595460 | + | 0.803385i | \(0.703030\pi\) | |||||||
\(674\) | 8.97860 | − | 15.5514i | 0.345843 | − | 0.599017i | ||||
\(675\) | −2.34611 | − | 18.8814i | −0.0903017 | − | 0.726744i | ||||
\(676\) | 4.12105 | + | 12.3295i | 0.158502 | + | 0.474212i | ||||
\(677\) | 23.5469 | − | 40.7844i | 0.904979 | − | 1.56747i | 0.0840345 | − | 0.996463i | \(-0.473219\pi\) |
0.820945 | − | 0.571007i | \(-0.193447\pi\) | |||||||
\(678\) | −25.5614 | − | 19.7127i | −0.981680 | − | 0.757061i | ||||
\(679\) | 3.79127 | − | 33.6406i | 0.145495 | − | 1.29101i | ||||
\(680\) | − | 0.0296195i | − | 0.00113586i | ||||||
\(681\) | −28.8548 | + | 11.8701i | −1.10572 | + | 0.454864i | ||||
\(682\) | 8.34198 | + | 14.4487i | 0.319431 | + | 0.553270i | ||||
\(683\) | −7.64632 | − | 13.2438i | −0.292578 | − | 0.506760i | 0.681840 | − | 0.731501i | \(-0.261180\pi\) |
−0.974419 | + | 0.224741i | \(0.927847\pi\) | |||||||
\(684\) | −0.707608 | − | 0.193288i | −0.0270561 | − | 0.00739054i | ||||
\(685\) | 15.5182i | 0.592920i | ||||||||
\(686\) | −12.0794 | − | 14.0388i | −0.461195 | − | 0.536003i | ||||
\(687\) | −19.8155 | + | 25.6947i | −0.756007 | + | 0.980313i | ||||
\(688\) | 0.620304 | − | 1.07440i | 0.0236489 | − | 0.0409610i | ||||
\(689\) | 11.0178 | + | 24.4691i | 0.419746 | + | 0.932197i | ||||
\(690\) | 5.42412 | + | 0.727490i | 0.206493 | + | 0.0276951i | ||||
\(691\) | 6.72191 | − | 11.6427i | 0.255713 | − | 0.442909i | −0.709376 | − | 0.704831i | \(-0.751023\pi\) |
0.965089 | + | 0.261922i | \(0.0843563\pi\) | |||||||
\(692\) | −15.5942 | −0.592803 | ||||||||
\(693\) | −29.1691 | + | 4.25113i | −1.10804 | + | 0.161487i | ||||
\(694\) | 0.504408i | 0.0191471i | ||||||||
\(695\) | 8.70919 | − | 15.0848i | 0.330358 | − | 0.572197i | ||||
\(696\) | 0.810333 | − | 6.04179i | 0.0307156 | − | 0.229013i | ||||
\(697\) | 0.0104549 | − | 0.00603612i | 0.000396006 | − | 0.000228634i | ||||
\(698\) | −11.2702 | + | 19.5206i | −0.426585 | + | 0.738866i | ||||
\(699\) | 27.0558 | + | 20.8651i | 1.02334 | + | 0.789190i | ||||
\(700\) | 7.79468 | + | 5.75304i | 0.294611 | + | 0.217445i | ||||
\(701\) | 44.2310i | 1.67058i | 0.549809 | + | 0.835290i | \(0.314700\pi\) | ||||
−0.549809 | + | 0.835290i | \(0.685300\pi\) | |||||||
\(702\) | 9.73986 | + | 16.0042i | 0.367607 | + | 0.604040i | ||||
\(703\) | 2.02898 | − | 1.17143i | 0.0765246 | − | 0.0441815i | ||||
\(704\) | −1.85690 | − | 3.21624i | −0.0699844 | − | 0.121216i | ||||
\(705\) | 0.179222 | + | 0.435666i | 0.00674988 | + | 0.0164081i | ||||
\(706\) | − | 16.0120i | − | 0.602619i | ||||||
\(707\) | −24.4197 | + | 10.6534i | −0.918397 | + | 0.400664i | ||||
\(708\) | 4.44132 | + | 3.42509i | 0.166915 | + | 0.128723i | ||||
\(709\) | −34.4905 | − | 19.9131i | −1.29532 | − | 0.747852i | −0.315726 | − | 0.948850i | \(-0.602248\pi\) |
−0.979592 | + | 0.200998i | \(0.935581\pi\) | |||||||
\(710\) | 14.7032 | − | 8.48889i | 0.551801 | − | 0.318582i | ||||
\(711\) | 12.8435 | − | 12.7195i | 0.481669 | − | 0.477017i | ||||
\(712\) | −8.11911 | − | 4.68757i | −0.304276 | − | 0.175674i | ||||
\(713\) | 12.2698i | 0.459509i | ||||||||
\(714\) | −0.0285216 | + | 0.113809i | −0.00106739 | + | 0.00425921i | ||||
\(715\) | 15.4125 | + | 1.55443i | 0.576396 | + | 0.0581325i | ||||
\(716\) | −3.42830 | − | 1.97933i | −0.128121 | − | 0.0739710i | ||||
\(717\) | 34.5768 | + | 4.63748i | 1.29129 | + | 0.173190i | ||||
\(718\) | −7.67875 | − | 13.3000i | −0.286569 | − | 0.496351i | ||||
\(719\) | −13.8793 | + | 24.0396i | −0.517609 | + | 0.896525i | 0.482182 | + | 0.876071i | \(0.339845\pi\) |
−0.999791 | + | 0.0204540i | \(0.993489\pi\) | |||||||
\(720\) | 3.35666 | − | 0.881980i | 0.125095 | − | 0.0328694i | ||||
\(721\) | 16.0060 | − | 21.6862i | 0.596095 | − | 0.807637i | ||||
\(722\) | −18.9402 | −0.704882 | ||||||||
\(723\) | 14.6759 | + | 35.6752i | 0.545801 | + | 1.32677i | ||||
\(724\) | 0.371664 | − | 0.214580i | 0.0138128 | − | 0.00797481i | ||||
\(725\) | −11.1605 | + | 6.44355i | −0.414492 | + | 0.239307i | ||||
\(726\) | −1.83993 | − | 4.47264i | −0.0682861 | − | 0.165995i | ||||
\(727\) | 34.8578i | 1.29281i | 0.762996 | + | 0.646403i | \(0.223727\pi\) | ||||
−0.762996 | + | 0.646403i | \(0.776273\pi\) | |||||||
\(728\) | −9.32434 | − | 2.01414i | −0.345583 | − | 0.0746491i | ||||
\(729\) | 18.8120 | + | 19.3678i | 0.696739 | + | 0.717324i | ||||
\(730\) | 1.57147 | + | 0.907290i | 0.0581628 | + | 0.0335803i | ||||
\(731\) | −0.0158818 | − | 0.0275081i | −0.000587410 | − | 0.00101742i | ||||
\(732\) | 2.72383 | − | 20.3087i | 0.100676 | − | 0.750631i | ||||
\(733\) | 17.9806 | − | 31.1434i | 0.664130 | − | 1.15031i | −0.315390 | − | 0.948962i | \(-0.602135\pi\) |
0.979520 | − | 0.201345i | \(-0.0645312\pi\) | |||||||
\(734\) | − | 31.1878i | − | 1.15116i | ||||||
\(735\) | 8.92196 | + | 10.8229i | 0.329091 | + | 0.399207i | ||||
\(736\) | − | 2.73122i | − | 0.100674i | ||||||
\(737\) | 23.1781 | + | 13.3819i | 0.853775 | + | 0.492927i | ||||
\(738\) | 0.995362 | + | 1.00507i | 0.0366398 | + | 0.0369971i | ||||
\(739\) | −23.0900 | + | 13.3310i | −0.849378 | + | 0.490389i | −0.860441 | − | 0.509550i | \(-0.829812\pi\) |
0.0110630 | + | 0.999939i | \(0.496478\pi\) | |||||||
\(740\) | −5.54247 | + | 9.59983i | −0.203745 | + | 0.352897i | ||||
\(741\) | −1.10949 | − | 1.04912i | −0.0407582 | − | 0.0385405i | ||||
\(742\) | −19.5678 | − | 2.20527i | −0.718355 | − | 0.0809579i | ||||
\(743\) | 24.5770 | 0.901644 | 0.450822 | − | 0.892614i | \(-0.351131\pi\) | ||||
0.450822 | + | 0.892614i | \(0.351131\pi\) | |||||||
\(744\) | 2.96026 | + | 7.19602i | 0.108528 | + | 0.263819i | ||||
\(745\) | −9.46974 | + | 5.46736i | −0.346944 | + | 0.200308i | ||||
\(746\) | 2.30810 | + | 3.99775i | 0.0845057 | + | 0.146368i | ||||
\(747\) | −2.87956 | + | 10.5418i | −0.105357 | + | 0.385704i | ||||
\(748\) | −0.0950852 | −0.00347666 | ||||||||
\(749\) | −28.5599 | + | 38.6951i | −1.04355 | + | 1.41389i | ||||
\(750\) | −13.7436 | − | 10.5989i | −0.501846 | − | 0.387018i | ||||
\(751\) | −0.764556 | + | 1.32425i | −0.0278990 | + | 0.0483226i | −0.879638 | − | 0.475644i | \(-0.842215\pi\) |
0.851739 | + | 0.523967i | \(0.175548\pi\) | |||||||
\(752\) | 0.203606 | − | 0.117552i | 0.00742475 | − | 0.00428668i | ||||
\(753\) | 35.2886 | + | 4.73296i | 1.28599 | + | 0.172479i | ||||
\(754\) | 7.41553 | − | 10.2974i | 0.270058 | − | 0.375008i | ||||
\(755\) | 17.3388 | 0.631024 | ||||||||
\(756\) | −13.7468 | + | 0.156667i | −0.499968 | + | 0.00569793i | ||||
\(757\) | −20.0619 | −0.729164 | −0.364582 | − | 0.931171i | \(-0.618788\pi\) | ||||
−0.364582 | + | 0.931171i | \(0.618788\pi\) | |||||||
\(758\) | 3.05155 | + | 1.76181i | 0.110837 | + | 0.0639919i | ||||
\(759\) | 2.33540 | − | 17.4126i | 0.0847698 | − | 0.632038i | ||||
\(760\) | −0.244969 | + | 0.141433i | −0.00888596 | + | 0.00513031i | ||||
\(761\) | 19.1290 | + | 11.0442i | 0.693427 | + | 0.400350i | 0.804895 | − | 0.593418i | \(-0.202222\pi\) |
−0.111468 | + | 0.993768i | \(0.535555\pi\) | |||||||
\(762\) | 9.34026 | − | 12.1115i | 0.338362 | − | 0.438754i | ||||
\(763\) | 2.93941 | + | 6.73768i | 0.106414 | + | 0.243920i | ||||
\(764\) | 1.81779i | 0.0657652i | ||||||||
\(765\) | 0.0234145 | − | 0.0857182i | 0.000846552 | − | 0.00309915i | ||||
\(766\) | −1.24813 | + | 0.720607i | −0.0450967 | + | 0.0260366i | ||||
\(767\) | 4.79356 | + | 10.6458i | 0.173086 | + | 0.384399i | ||||
\(768\) | −0.658943 | − | 1.60181i | −0.0237776 | − | 0.0578003i | ||||
\(769\) | −33.5491 | −1.20981 | −0.604906 | − | 0.796297i | \(-0.706789\pi\) | ||||
−0.604906 | + | 0.796297i | \(0.706789\pi\) | |||||||
\(770\) | −6.75024 | + | 9.14576i | −0.243262 | + | 0.329590i | ||||
\(771\) | 10.8070 | − | 14.0135i | 0.389206 | − | 0.504683i | ||||
\(772\) | −17.1426 | − | 9.89729i | −0.616976 | − | 0.356211i | ||||
\(773\) | −39.2647 | + | 22.6695i | −1.41225 | + | 0.815365i | −0.995601 | − | 0.0936997i | \(-0.970131\pi\) |
−0.416654 | + | 0.909065i | \(0.636797\pi\) | |||||||
\(774\) | 2.64447 | − | 2.61893i | 0.0950533 | − | 0.0941354i | ||||
\(775\) | 8.22489 | − | 14.2459i | 0.295447 | − | 0.511729i | ||||
\(776\) | 12.7955 | 0.459330 | ||||||||
\(777\) | 30.5403 | − | 31.5492i | 1.09563 | − | 1.13182i | ||||
\(778\) | − | 8.18640i | − | 0.293497i | ||||||
\(779\) | −0.0998437 | − | 0.0576448i | −0.00357727 | − | 0.00206534i | ||||
\(780\) | 7.02799 | + | 1.67406i | 0.251642 | + | 0.0599408i | ||||
\(781\) | −27.2512 | − | 47.2005i | −0.975125 | − | 1.68897i | ||||
\(782\) | −0.0605597 | − | 0.0349641i | −0.00216561 | − | 0.00125032i | ||||
\(783\) | 7.12117 | − | 16.8442i | 0.254490 | − | 0.601963i | ||||
\(784\) | 4.76147 | − | 5.13112i | 0.170053 | − | 0.183254i | ||||
\(785\) | −2.00877 | −0.0716962 | ||||||||
\(786\) | −9.31813 | − | 22.6512i | −0.332367 | − | 0.807943i | ||||
\(787\) | −16.3431 | − | 28.3071i | −0.582568 | − | 1.00904i | −0.995174 | − | 0.0981280i | \(-0.968715\pi\) |
0.412606 | − | 0.910910i | \(-0.364619\pi\) | |||||||
\(788\) | −12.6222 | − | 21.8623i | −0.449648 | − | 0.778813i | ||||
\(789\) | 45.1011 | − | 18.5534i | 1.60564 | − | 0.660520i | ||||
\(790\) | − | 6.97048i | − | 0.247999i | ||||||
\(791\) | 48.9978 | + | 5.52200i | 1.74216 | + | 0.196340i | ||||
\(792\) | −2.83135 | − | 10.7756i | −0.100608 | − | 0.382894i | ||||
\(793\) | 24.9264 | − | 34.6133i | 0.885161 | − | 1.22915i | ||||
\(794\) | 6.43999 | + | 11.1544i | 0.228547 | + | 0.395854i | ||||
\(795\) | 14.7810 | + | 1.98245i | 0.524229 | + | 0.0703103i | ||||
\(796\) | 5.33963 | + | 3.08284i | 0.189258 | + | 0.109268i | ||||
\(797\) | −26.9293 | −0.953884 | −0.476942 | − | 0.878935i | \(-0.658255\pi\) | ||||
−0.476942 | + | 0.878935i | \(0.658255\pi\) | |||||||
\(798\) | 1.07745 | − | 0.307550i | 0.0381415 | − | 0.0108872i | ||||
\(799\) | − | 0.00601943i | − | 0.000212952i | ||||||
\(800\) | −1.83083 | + | 3.17109i | −0.0647297 | + | 0.112115i | ||||
\(801\) | −19.7909 | − | 19.9839i | −0.699278 | − | 0.706097i | ||||
\(802\) | 4.27201 | + | 7.39934i | 0.150850 | + | 0.261280i | ||||
\(803\) | 2.91260 | − | 5.04477i | 0.102783 | − | 0.178026i | ||||
\(804\) | 9.88430 | + | 7.62266i | 0.348592 | + | 0.268831i | ||||
\(805\) | −7.66224 | + | 3.34277i | −0.270059 | + | 0.117817i | ||||
\(806\) | −1.62537 | + | 16.1159i | −0.0572514 | + | 0.567660i | ||||
\(807\) | 19.3494 | + | 47.0360i | 0.681132 | + | 1.65575i | ||||
\(808\) | −5.03494 | − | 8.72077i | −0.177129 | − | 0.306796i | ||||
\(809\) | −4.33969 | + | 2.50552i | −0.152575 | + | 0.0880894i | −0.574344 | − | 0.818614i | \(-0.694743\pi\) |
0.421769 | + | 0.906703i | \(0.361409\pi\) | |||||||
\(810\) | 10.4113 | + | 0.101036i | 0.365816 | + | 0.00355003i | ||||
\(811\) | 40.9851 | 1.43918 | 0.719590 | − | 0.694399i | \(-0.244330\pi\) | ||||
0.719590 | + | 0.694399i | \(0.244330\pi\) | |||||||
\(812\) | 3.72343 | + | 8.53478i | 0.130667 | + | 0.299512i | ||||
\(813\) | −30.0570 | + | 38.9749i | −1.05414 | + | 1.36691i | ||||
\(814\) | 30.8176 | + | 17.7925i | 1.08016 | + | 0.623628i | ||||
\(815\) | 7.35865 | + | 12.7456i | 0.257762 | + | 0.446457i | ||||
\(816\) | −0.0439526 | − | 0.00589498i | −0.00153865 | − | 0.000206366i | ||||
\(817\) | −0.151671 | + | 0.262702i | −0.00530629 | + | 0.00919077i | ||||
\(818\) | 20.2052 | 0.706459 | ||||||||
\(819\) | −25.3922 | − | 13.1998i | −0.887275 | − | 0.461240i | ||||
\(820\) | 0.545475 | 0.0190488 | ||||||||
\(821\) | 1.96031 | − | 3.39536i | 0.0684154 | − | 0.118499i | −0.829789 | − | 0.558078i | \(-0.811539\pi\) |
0.898204 | + | 0.439579i | \(0.144872\pi\) | |||||||
\(822\) | 23.0276 | + | 3.08849i | 0.803179 | + | 0.107723i | ||||
\(823\) | 0.415511 | + | 0.719686i | 0.0144838 | + | 0.0250867i | 0.873176 | − | 0.487404i | \(-0.162056\pi\) |
−0.858693 | + | 0.512491i | \(0.828723\pi\) | |||||||
\(824\) | 8.82256 | + | 5.09371i | 0.307349 | + | 0.177448i | ||||
\(825\) | −14.3838 | + | 18.6515i | −0.500779 | + | 0.649360i | ||||
\(826\) | −8.51341 | − | 0.959453i | −0.296219 | − | 0.0333836i | ||||
\(827\) | −44.4483 | −1.54562 | −0.772810 | − | 0.634637i | \(-0.781149\pi\) | ||||
−0.772810 | + | 0.634637i | \(0.781149\pi\) | |||||||
\(828\) | 2.15906 | − | 7.90410i | 0.0750324 | − | 0.274686i | ||||
\(829\) | 36.1389 | − | 20.8648i | 1.25515 | − | 0.724664i | 0.283026 | − | 0.959112i | \(-0.408662\pi\) |
0.972129 | + | 0.234448i | \(0.0753284\pi\) | |||||||
\(830\) | 2.10704 | + | 3.64949i | 0.0731363 | + | 0.126676i | ||||
\(831\) | −18.2221 | − | 44.2957i | −0.632117 | − | 1.53660i | ||||
\(832\) | 0.361803 | − | 3.58735i | 0.0125433 | − | 0.124369i | ||||
\(833\) | −0.0528181 | − | 0.171263i | −0.00183004 | − | 0.00593392i | ||||
\(834\) | −20.6510 | − | 15.9258i | −0.715087 | − | 0.551467i | ||||
\(835\) | 3.96541 | − | 6.86829i | 0.137229 | − | 0.237687i | ||||
\(836\) | 0.454031 | + | 0.786404i | 0.0157030 | + | 0.0271984i | ||||
\(837\) | 2.87840 | + | 23.1652i | 0.0994920 | + | 0.800707i | ||||
\(838\) | −1.08300 | + | 1.87581i | −0.0374117 | + | 0.0647989i | ||||
\(839\) | 44.3088i | 1.52971i | 0.644203 | + | 0.764855i | \(0.277189\pi\) | ||||
−0.644203 | + | 0.764855i | \(0.722811\pi\) | |||||||
\(840\) | −3.68727 | + | 3.80908i | −0.127223 | + | 0.131426i | ||||
\(841\) | 16.6134 | 0.572875 | ||||||||
\(842\) | −12.3556 | − | 7.13353i | −0.425803 | − | 0.245838i | ||||
\(843\) | 21.2198 | + | 2.84603i | 0.730850 | + | 0.0980226i | ||||
\(844\) | 1.99089 | + | 3.44833i | 0.0685294 | + | 0.118696i | ||||
\(845\) | 11.2606 | + | 9.96888i | 0.387375 | + | 0.342940i | ||||
\(846\) | 0.682157 | − | 0.179240i | 0.0234530 | − | 0.00616241i | ||||
\(847\) | 5.94391 | + | 4.38704i | 0.204235 | + | 0.150741i | ||||
\(848\) | − | 7.44274i | − | 0.255585i | ||||||
\(849\) | 21.9004 | − | 9.00928i | 0.751621 | − | 0.309198i | ||||
\(850\) | 0.0468753 | + | 0.0811904i | 0.00160781 | + | 0.00278481i | ||||
\(851\) | 13.0851 | + | 22.6641i | 0.448552 | + | 0.776915i | ||||
\(852\) | −9.67044 | − | 23.5076i | −0.331304 | − | 0.805359i | ||||
\(853\) | −39.9111 | −1.36653 | −0.683264 | − | 0.730171i | \(-0.739440\pi\) | ||||
−0.683264 | + | 0.730171i | \(0.739440\pi\) | |||||||
\(854\) | 12.5158 | + | 28.6886i | 0.428282 | + | 0.981703i | ||||
\(855\) | −0.820738 | + | 0.215653i | −0.0280686 | + | 0.00737519i | ||||
\(856\) | −15.7423 | − | 9.08881i | −0.538060 | − | 0.310649i | ||||
\(857\) | −17.9784 | − | 31.1395i | −0.614131 | − | 1.06371i | −0.990536 | − | 0.137250i | \(-0.956173\pi\) |
0.376406 | − | 0.926455i | \(-0.377160\pi\) | |||||||
\(858\) | 5.37409 | − | 22.5614i | 0.183468 | − | 0.770233i | ||||
\(859\) | 14.9743 | + | 8.64539i | 0.510915 | + | 0.294977i | 0.733210 | − | 0.680003i | \(-0.238021\pi\) |
−0.222295 | + | 0.974980i | \(0.571355\pi\) | |||||||
\(860\) | − | 1.43522i | − | 0.0489405i | ||||||
\(861\) | −2.09592 | − | 0.525256i | −0.0714289 | − | 0.0179007i | ||||
\(862\) | 34.5475 | 1.17669 | ||||||||
\(863\) | 24.7603 | − | 42.8861i | 0.842851 | − | 1.45986i | −0.0446227 | − | 0.999004i | \(-0.514209\pi\) |
0.887474 | − | 0.460858i | \(-0.152458\pi\) | |||||||
\(864\) | −0.640722 | − | 5.15650i | −0.0217978 | − | 0.175428i | ||||
\(865\) | −15.6235 | + | 9.02020i | −0.531213 | + | 0.306696i | ||||
\(866\) | −0.619627 | − | 0.357742i | −0.0210558 | − | 0.0121566i | ||||
\(867\) | 17.9808 | − | 23.3157i | 0.610661 | − | 0.791844i | ||||
\(868\) | −9.56315 | − | 7.05831i | −0.324595 | − | 0.239575i | ||||
\(869\) | −22.3768 | −0.759080 | ||||||||
\(870\) | −2.68292 | − | 6.52184i | −0.0909593 | − | 0.221111i | ||||
\(871\) | 10.6682 | + | 23.6926i | 0.361479 | + | 0.802795i | ||||
\(872\) | −2.40616 | + | 1.38920i | −0.0814830 | + | 0.0470442i | ||||
\(873\) | 37.0297 | + | 10.1149i | 1.25327 | + | 0.342338i | ||||
\(874\) | 0.667813i | 0.0225891i | ||||||||
\(875\) | 26.3446 | + | 2.96902i | 0.890611 | + | 0.100371i | ||||
\(876\) | 1.65909 | − | 2.15135i | 0.0560556 | − | 0.0726873i | ||||
\(877\) | −39.8181 | − | 22.9890i | −1.34456 | − | 0.776283i | −0.357088 | − | 0.934071i | \(-0.616230\pi\) |
−0.987473 | + | 0.157788i | \(0.949564\pi\) | |||||||
\(878\) | −15.5035 | + | 8.95097i | −0.523219 | + | 0.302081i | ||||
\(879\) | 0.968516 | − | 7.22119i | 0.0326672 | − | 0.243565i | ||||
\(880\) | −3.72075 | − | 2.14818i | −0.125426 | − | 0.0724150i | ||||
\(881\) | −3.09185 | −0.104167 | −0.0520835 | − | 0.998643i | \(-0.516586\pi\) | ||||
−0.0520835 | + | 0.998643i | \(0.516586\pi\) | |||||||
\(882\) | 17.8358 | − | 11.0853i | 0.600562 | − | 0.373263i | ||||
\(883\) | −23.5637 | −0.792981 | −0.396490 | − | 0.918039i | \(-0.629772\pi\) | ||||
−0.396490 | + | 0.918039i | \(0.629772\pi\) | |||||||
\(884\) | −0.0749110 | − | 0.0539463i | −0.00251953 | − | 0.00181441i | ||||
\(885\) | 6.43083 | + | 0.862512i | 0.216170 | + | 0.0289930i | ||||
\(886\) | 14.3289 | − | 8.27278i | 0.481388 | − | 0.277929i | ||||
\(887\) | −0.0628493 | + | 0.108858i | −0.00211027 | + | 0.00365510i | −0.867079 | − | 0.498171i | \(-0.834005\pi\) |
0.864968 | + | 0.501826i | \(0.167338\pi\) | |||||||
\(888\) | 13.1422 | + | 10.1351i | 0.441022 | + | 0.340112i | ||||
\(889\) | −2.61644 | + | 23.2161i | −0.0877524 | + | 0.778644i | ||||
\(890\) | −10.8458 | −0.363551 | ||||||||
\(891\) | 0.324347 | − | 33.4225i | 0.0108660 | − | 1.11970i | ||||
\(892\) | 1.01738 | + | 1.76216i | 0.0340645 | + | 0.0590015i | ||||
\(893\) | −0.0497838 | + | 0.0287427i | −0.00166595 | + | 0.000961838i | ||||
\(894\) | 6.22835 | + | 15.1403i | 0.208307 | + | 0.506369i | ||||
\(895\) | −4.57963 | −0.153080 | ||||||||
\(896\) | 2.12873 | + | 1.57116i | 0.0711157 | + | 0.0524886i | ||||
\(897\) | 11.7189 | − | 12.3932i | 0.391282 | − | 0.413797i | ||||
\(898\) | 13.3519 | − | 23.1261i | 0.445557 | − | 0.771728i | ||||
\(899\) | 13.6927 | − | 7.90548i | 0.456677 | − | 0.263662i | ||||
\(900\) | −7.80516 | + | 7.72978i | −0.260172 | + | 0.257659i | ||||
\(901\) | −0.165029 | − | 0.0952793i | −0.00549790 | − | 0.00317421i | ||||
\(902\) | − | 1.75110i | − | 0.0583051i | ||||||
\(903\) | −1.38202 | + | 5.51464i | −0.0459906 | + | 0.183516i | ||||
\(904\) | 18.6367i | 0.619846i | ||||||||
\(905\) | 0.248240 | − | 0.429965i | 0.00825179 | − | 0.0142925i | ||||
\(906\) | 3.45083 | − | 25.7292i | 0.114646 | − | 0.854794i | ||||
\(907\) | −7.59458 | − | 13.1542i | −0.252174 | − | 0.436778i | 0.711950 | − | 0.702230i | \(-0.247812\pi\) |
−0.964124 | + | 0.265452i | \(0.914479\pi\) | |||||||
\(908\) | 15.6005 | + | 9.00694i | 0.517720 | + | 0.298906i | ||||
\(909\) | −7.67715 | − | 29.2179i | −0.254635 | − | 0.969095i | ||||
\(910\) | −10.5069 | + | 3.37558i | −0.348299 | + | 0.111899i | ||||
\(911\) | − | 46.3110i | − | 1.53435i | −0.641437 | − | 0.767176i | \(-0.721661\pi\) | ||
0.641437 | − | 0.767176i | \(-0.278339\pi\) | |||||||
\(912\) | 0.161119 | + | 0.391659i | 0.00533517 | + | 0.0129691i | ||||
\(913\) | 11.7157 | − | 6.76405i | 0.387732 | − | 0.223857i | ||||
\(914\) | −32.4759 | + | 18.7500i | −1.07421 | + | 0.620194i | ||||
\(915\) | −9.01828 | − | 21.9223i | −0.298135 | − | 0.724730i | ||||
\(916\) | 18.7338 | 0.618983 | ||||||||
\(917\) | 30.1024 | + | 22.2177i | 0.994067 | + | 0.733695i | ||||
\(918\) | −0.122538 | − | 0.0518048i | −0.00404435 | − | 0.00170981i | ||||
\(919\) | 1.13972 | − | 1.97406i | 0.0375960 | − | 0.0651181i | −0.846615 | − | 0.532206i | \(-0.821363\pi\) |
0.884211 | + | 0.467087i | \(0.154697\pi\) | |||||||
\(920\) | −1.57983 | − | 2.73634i | −0.0520854 | − | 0.0902146i | ||||
\(921\) | −36.3064 | − | 4.86946i | −1.19634 | − | 0.160454i | ||||
\(922\) | −7.19751 | − | 4.15548i | −0.237037 | − | 0.136854i | ||||
\(923\) | 5.30970 | − | 52.6468i | 0.174771 | − | 1.73289i | ||||
\(924\) | 12.2280 | + | 11.8369i | 0.402271 | + | 0.389407i | ||||
\(925\) | − | 35.0856i | − | 1.15361i | ||||||
\(926\) | 24.9521 | + | 14.4061i | 0.819976 | + | 0.473414i | ||||
\(927\) | 21.5057 | + | 21.7154i | 0.706339 | + | 0.713227i | ||||
\(928\) | −3.04794 | + | 1.75973i | −0.100054 | + | 0.0577660i | ||||
\(929\) | −14.3151 | − | 8.26482i | −0.469663 | − | 0.271160i | 0.246436 | − | 0.969159i | \(-0.420741\pi\) |
−0.716099 | + | 0.697999i | \(0.754074\pi\) | |||||||
\(930\) | 7.12822 | + | 5.49720i | 0.233743 | + | 0.180260i | ||||
\(931\) | −1.16423 | + | 1.25461i | −0.0381561 | + | 0.0411183i | ||||
\(932\) | − | 19.7262i | − | 0.646152i | ||||||
\(933\) | 20.6585 | + | 50.2182i | 0.676328 | + | 1.64407i | ||||
\(934\) | −10.3800 | − | 17.9787i | −0.339644 | − | 0.588280i | ||||
\(935\) | −0.0952634 | + | 0.0550003i | −0.00311545 | + | 0.00179870i | ||||
\(936\) | 3.88288 | − | 10.0957i | 0.126916 | − | 0.329988i | ||||
\(937\) | − | 22.3954i | − | 0.731626i | −0.930688 | − | 0.365813i | \(-0.880791\pi\) | ||
0.930688 | − | 0.365813i | \(-0.119209\pi\) | |||||||
\(938\) | −18.9469 | − | 2.13529i | −0.618637 | − | 0.0697198i | ||||
\(939\) | 44.9554 | + | 34.6691i | 1.46707 | + | 1.13138i | ||||
\(940\) | 0.135992 | − | 0.235545i | 0.00443556 | − | 0.00768262i | ||||
\(941\) | −12.5819 | + | 7.26415i | −0.410158 | + | 0.236805i | −0.690857 | − | 0.722991i | \(-0.742767\pi\) |
0.280700 | + | 0.959796i | \(0.409433\pi\) | |||||||
\(942\) | −0.399793 | + | 2.98083i | −0.0130260 | + | 0.0971207i | ||||
\(943\) | 0.643902 | − | 1.11527i | 0.0209683 | − | 0.0363182i | ||||
\(944\) | − | 3.23814i | − | 0.105392i | ||||||
\(945\) | −13.6820 | + | 8.10857i | −0.445075 | + | 0.263772i | ||||
\(946\) | −4.60736 | −0.149798 | ||||||||
\(947\) | 1.30451 | − | 2.25948i | 0.0423910 | − | 0.0734233i | −0.844051 | − | 0.536262i | \(-0.819836\pi\) |
0.886442 | + | 0.462839i | \(0.153169\pi\) | |||||||
\(948\) | −10.3435 | − | 1.38729i | −0.335943 | − | 0.0450571i | ||||
\(949\) | 5.15677 | − | 2.32197i | 0.167396 | − | 0.0753744i | ||||
\(950\) | 0.447658 | − | 0.775366i | 0.0145239 | − | 0.0251562i | ||||
\(951\) | 23.5108 | − | 30.4864i | 0.762389 | − | 0.988590i | ||||
\(952\) | 0.0620885 | − | 0.0270870i | 0.00201230 | − | 0.000877896i | ||||
\(953\) | 24.6984i | 0.800061i | 0.916502 | + | 0.400030i | \(0.131000\pi\) | ||||
−0.916502 | + | 0.400030i | \(0.869000\pi\) | |||||||
\(954\) | 5.88355 | − | 21.5391i | 0.190487 | − | 0.697355i | ||||
\(955\) | 1.05147 | + | 1.82119i | 0.0340247 | + | 0.0589324i | ||||
\(956\) | −10.0708 | − | 17.4432i | −0.325714 | − | 0.564153i | ||||
\(957\) | −20.9365 | + | 8.61275i | −0.676782 | + | 0.278411i | ||||
\(958\) | 17.5104i | 0.565735i | ||||||||
\(959\) | −32.5293 | + | 14.1914i | −1.05043 | + | 0.458264i | ||||
\(960\) | −1.58672 | − | 1.22366i | −0.0512111 | − | 0.0394934i | ||||
\(961\) | 5.40903 | − | 9.36871i | 0.174485 | − | 0.302216i | ||||
\(962\) | 14.1845 | + | 31.5017i | 0.457326 | + | 1.01566i | ||||
\(963\) | −38.3730 | − | 38.7472i | −1.23655 | − | 1.24861i | ||||
\(964\) | 11.1359 | − | 19.2880i | 0.358663 | − | 0.621223i | ||||
\(965\) | −22.8996 | −0.737166 | ||||||||
\(966\) | 3.43539 | + | 12.0353i | 0.110532 | + | 0.387231i | ||||
\(967\) | 24.8951i | 0.800571i | 0.916390 | + | 0.400286i | \(0.131089\pi\) | ||||
−0.916390 | + | 0.400286i | \(0.868911\pi\) | |||||||
\(968\) | −1.39612 | + | 2.41815i | −0.0448730 | + | 0.0777223i | ||||
\(969\) | 0.0107469 | + | 0.00144139i | 0.000345239 | + | 4.63040e-5i | ||||
\(970\) | 12.8194 | − | 7.40130i | 0.411607 | − | 0.237642i | ||||
\(971\) | −13.4579 | + | 23.3098i | −0.431885 | + | 0.748047i | −0.997036 | − | 0.0769409i | \(-0.975485\pi\) |
0.565151 | + | 0.824988i | \(0.308818\pi\) | |||||||
\(972\) | 2.22202 | − | 15.4293i | 0.0712713 | − | 0.494894i | ||||
\(973\) | 39.5853 | + | 4.46122i | 1.26905 | + | 0.143020i | ||||
\(974\) | 0.141904i | 0.00454690i | ||||||||
\(975\) | −21.9138 | + | 6.53359i | −0.701804 | + | 0.209242i | ||||
\(976\) | −10.2453 | + | 5.91511i | −0.327943 | + | 0.189338i | ||||
\(977\) | 24.1168 | + | 41.7715i | 0.771564 | + | 1.33639i | 0.936705 | + | 0.350119i | \(0.113859\pi\) |
−0.165141 | + | 0.986270i | \(0.552808\pi\) | |||||||
\(978\) | 20.3778 | − | 8.38288i | 0.651609 | − | 0.268055i | ||||
\(979\) | 34.8173i | 1.11277i | ||||||||
\(980\) | 1.80239 | − | 7.89493i | 0.0575753 | − | 0.252194i | ||||
\(981\) | −8.06155 | + | 2.11822i | −0.257385 | + | 0.0676294i | ||||
\(982\) | −8.67645 | − | 5.00935i | −0.276877 | − | 0.159855i | ||||
\(983\) | −11.9049 | + | 6.87329i | −0.379707 | + | 0.219224i | −0.677691 | − | 0.735347i | \(-0.737019\pi\) |
0.297984 | + | 0.954571i | \(0.403686\pi\) | |||||||
\(984\) | 0.108562 | − | 0.809434i | 0.00346084 | − | 0.0258038i | ||||
\(985\) | −25.2918 | − | 14.6022i | −0.805862 | − | 0.465265i | ||||
\(986\) | 0.0901098i | 0.00286968i | ||||||||
\(987\) | −0.749346 | + | 0.774101i | −0.0238519 | + | 0.0246399i | ||||
\(988\) | −0.0884646 | + | 0.877146i | −0.00281443 | + | 0.0279057i | ||||
\(989\) | −2.93442 | − | 1.69419i | −0.0933092 | − | 0.0538721i | ||||
\(990\) | −9.06961 | − | 9.15806i | −0.288251 | − | 0.291062i | ||||
\(991\) | 13.4020 | + | 23.2129i | 0.425729 | + | 0.737384i | 0.996488 | − | 0.0837336i | \(-0.0266845\pi\) |
−0.570760 | + | 0.821117i | \(0.693351\pi\) | |||||||
\(992\) | 2.24622 | − | 3.89056i | 0.0713174 | − | 0.123525i | ||||
\(993\) | −25.4063 | − | 19.5931i | −0.806245 | − | 0.621767i | ||||
\(994\) | 31.2405 | + | 23.0578i | 0.990888 | + | 0.731348i | ||||
\(995\) | 7.13286 | 0.226127 | ||||||||
\(996\) | 5.83486 | − | 2.40031i | 0.184885 | − | 0.0760567i | ||||
\(997\) | 10.4342 | − | 6.02421i | 0.330455 | − | 0.190789i | −0.325588 | − | 0.945512i | \(-0.605562\pi\) |
0.656043 | + | 0.754723i | \(0.272229\pi\) | |||||||
\(998\) | 9.05469 | − | 5.22772i | 0.286621 | − | 0.165481i | ||||
\(999\) | 30.0213 | + | 39.7197i | 0.949831 | + | 1.25668i |
(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 | 546.2.bg.a.467.17 | yes | 36 | |
3.2 | odd | 2 | 546.2.bg.b.467.11 | yes | 36 | ||
7.3 | odd | 6 | inner | 546.2.bg.a.311.11 | ✓ | 36 | |
13.12 | even | 2 | 546.2.bg.b.467.17 | yes | 36 | ||
21.17 | even | 6 | 546.2.bg.b.311.17 | yes | 36 | ||
39.38 | odd | 2 | inner | 546.2.bg.a.467.11 | yes | 36 | |
91.38 | odd | 6 | 546.2.bg.b.311.11 | yes | 36 | ||
273.38 | even | 6 | inner | 546.2.bg.a.311.17 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bg.a.311.11 | ✓ | 36 | 7.3 | odd | 6 | inner | |
546.2.bg.a.311.17 | yes | 36 | 273.38 | even | 6 | inner | |
546.2.bg.a.467.11 | yes | 36 | 39.38 | odd | 2 | inner | |
546.2.bg.a.467.17 | yes | 36 | 1.1 | even | 1 | trivial | |
546.2.bg.b.311.11 | yes | 36 | 91.38 | odd | 6 | ||
546.2.bg.b.311.17 | yes | 36 | 21.17 | even | 6 | ||
546.2.bg.b.467.11 | yes | 36 | 3.2 | odd | 2 | ||
546.2.bg.b.467.17 | yes | 36 | 13.12 | even | 2 |