Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(101,546)]
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, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bn (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: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.10 | ||
Character | \(\chi\) | \(=\) | 546.101 |
Dual form | 546.2.bn.e.173.10 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 0.458130 | + | 1.67036i | 0.264501 | + | 0.964385i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 1.57344 | − | 0.908426i | 0.703664 | − | 0.406261i | −0.105047 | − | 0.994467i | \(-0.533499\pi\) |
0.808711 | + | 0.588207i | \(0.200166\pi\) | |||||||
\(6\) | −1.67564 | − | 0.438430i | −0.684078 | − | 0.178988i | ||||
\(7\) | −0.414054 | − | 2.61315i | −0.156498 | − | 0.987678i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −2.58023 | + | 1.53049i | −0.860078 | + | 0.510163i | ||||
\(10\) | 1.81685i | 0.574539i | ||||||||
\(11\) | 2.05127 | 0.618480 | 0.309240 | − | 0.950984i | \(-0.399925\pi\) | ||||
0.309240 | + | 0.950984i | \(0.399925\pi\) | |||||||
\(12\) | 1.21751 | − | 1.23193i | 0.351466 | − | 0.355629i | ||||
\(13\) | 3.57560 | − | 0.463745i | 0.991694 | − | 0.128620i | ||||
\(14\) | 2.47008 | + | 0.947995i | 0.660157 | + | 0.253362i | ||||
\(15\) | 2.23824 | + | 2.21204i | 0.577912 | + | 0.571147i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 2.84359 | + | 4.92524i | 0.689671 | + | 1.19455i | 0.971944 | + | 0.235211i | \(0.0755782\pi\) |
−0.282273 | + | 0.959334i | \(0.591088\pi\) | |||||||
\(18\) | −0.0353243 | − | 2.99979i | −0.00832601 | − | 0.707058i | ||||
\(19\) | −1.59352 | −0.365579 | −0.182790 | − | 0.983152i | \(-0.558513\pi\) | ||||
−0.182790 | + | 0.983152i | \(0.558513\pi\) | |||||||
\(20\) | −1.57344 | − | 0.908426i | −0.351832 | − | 0.203130i | ||||
\(21\) | 4.17522 | − | 1.88878i | 0.911109 | − | 0.412166i | ||||
\(22\) | −1.02563 | + | 1.77645i | −0.218666 | + | 0.378740i | ||||
\(23\) | 7.56871 | + | 4.36980i | 1.57819 | + | 0.911166i | 0.995113 | + | 0.0987464i | \(0.0314833\pi\) |
0.583073 | + | 0.812420i | \(0.301850\pi\) | |||||||
\(24\) | 0.458130 | + | 1.67036i | 0.0935154 | + | 0.340962i | ||||
\(25\) | −0.849523 | + | 1.47142i | −0.169905 | + | 0.294283i | ||||
\(26\) | −1.38619 | + | 3.32844i | −0.271854 | + | 0.652760i | ||||
\(27\) | −3.73855 | − | 3.60877i | −0.719485 | − | 0.694508i | ||||
\(28\) | −2.05603 | + | 1.66516i | −0.388553 | + | 0.314685i | ||||
\(29\) | 0.724381 | − | 0.418222i | 0.134514 | − | 0.0776618i | −0.431233 | − | 0.902241i | \(-0.641921\pi\) |
0.565747 | + | 0.824579i | \(0.308588\pi\) | |||||||
\(30\) | −3.03481 | + | 0.832355i | −0.554077 | + | 0.151966i | ||||
\(31\) | 3.97501 | − | 6.88493i | 0.713934 | − | 1.23657i | −0.249436 | − | 0.968391i | \(-0.580245\pi\) |
0.963369 | − | 0.268178i | \(-0.0864215\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0.939747 | + | 3.42636i | 0.163589 | + | 0.596453i | ||||
\(34\) | −5.68717 | −0.975342 | ||||||||
\(35\) | −3.02534 | − | 3.73550i | −0.511377 | − | 0.631415i | ||||
\(36\) | 2.61556 | + | 1.46930i | 0.435926 | + | 0.244884i | ||||
\(37\) | −3.65306 | − | 2.10909i | −0.600559 | − | 0.346733i | 0.168702 | − | 0.985667i | \(-0.446042\pi\) |
−0.769262 | + | 0.638934i | \(0.779376\pi\) | |||||||
\(38\) | 0.796762 | − | 1.38003i | 0.129252 | − | 0.223871i | ||||
\(39\) | 2.41271 | + | 5.76010i | 0.386344 | + | 0.922355i | ||||
\(40\) | 1.57344 | − | 0.908426i | 0.248783 | − | 0.143635i | ||||
\(41\) | −0.397180 | + | 0.229312i | −0.0620290 | + | 0.0358125i | −0.530694 | − | 0.847564i | \(-0.678069\pi\) |
0.468665 | + | 0.883376i | \(0.344735\pi\) | |||||||
\(42\) | −0.451878 | + | 4.56024i | −0.0697263 | + | 0.703661i | ||||
\(43\) | 0.836012 | − | 1.44802i | 0.127491 | − | 0.220820i | −0.795213 | − | 0.606330i | \(-0.792641\pi\) |
0.922704 | + | 0.385510i | \(0.125974\pi\) | |||||||
\(44\) | −1.02563 | − | 1.77645i | −0.154620 | − | 0.267810i | ||||
\(45\) | −2.66951 | + | 4.75208i | −0.397947 | + | 0.708399i | ||||
\(46\) | −7.56871 | + | 4.36980i | −1.11595 | + | 0.644292i | ||||
\(47\) | −1.94760 | + | 1.12445i | −0.284086 | + | 0.164017i | −0.635272 | − | 0.772289i | \(-0.719112\pi\) |
0.351186 | + | 0.936306i | \(0.385779\pi\) | |||||||
\(48\) | −1.67564 | − | 0.438430i | −0.241858 | − | 0.0632819i | ||||
\(49\) | −6.65712 | + | 2.16397i | −0.951017 | + | 0.309139i | ||||
\(50\) | −0.849523 | − | 1.47142i | −0.120141 | − | 0.208090i | ||||
\(51\) | −6.92421 | + | 7.00622i | −0.969583 | + | 0.981068i | ||||
\(52\) | −2.18942 | − | 2.86469i | −0.303618 | − | 0.397261i | ||||
\(53\) | −0.497067 | − | 0.286982i | −0.0682774 | − | 0.0394200i | 0.465473 | − | 0.885062i | \(-0.345884\pi\) |
−0.533750 | + | 0.845642i | \(0.679218\pi\) | |||||||
\(54\) | 4.99456 | − | 1.43330i | 0.679674 | − | 0.195047i | ||||
\(55\) | 3.22755 | − | 1.86343i | 0.435202 | − | 0.251264i | ||||
\(56\) | −0.414054 | − | 2.61315i | −0.0553303 | − | 0.349197i | ||||
\(57\) | −0.730041 | − | 2.66176i | −0.0966962 | − | 0.352559i | ||||
\(58\) | 0.836443i | 0.109830i | ||||||||
\(59\) | −1.89789 | + | 1.09575i | −0.247084 | + | 0.142654i | −0.618428 | − | 0.785841i | \(-0.712230\pi\) |
0.371344 | + | 0.928495i | \(0.378897\pi\) | |||||||
\(60\) | 0.796563 | − | 3.04440i | 0.102836 | − | 0.393030i | ||||
\(61\) | 6.89812i | 0.883213i | 0.897209 | + | 0.441607i | \(0.145591\pi\) | ||||
−0.897209 | + | 0.441607i | \(0.854409\pi\) | |||||||
\(62\) | 3.97501 | + | 6.88493i | 0.504827 | + | 0.874386i | ||||
\(63\) | 5.06775 | + | 6.10884i | 0.638477 | + | 0.769641i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 5.20472 | − | 3.97785i | 0.645566 | − | 0.493391i | ||||
\(66\) | −3.43719 | − | 0.899337i | −0.423089 | − | 0.110701i | ||||
\(67\) | 5.15514i | 0.629800i | 0.949125 | + | 0.314900i | \(0.101971\pi\) | ||||
−0.949125 | + | 0.314900i | \(0.898029\pi\) | |||||||
\(68\) | 2.84359 | − | 4.92524i | 0.344836 | − | 0.597273i | ||||
\(69\) | −3.83170 | + | 14.6444i | −0.461283 | + | 1.76298i | ||||
\(70\) | 4.74771 | − | 0.752275i | 0.567460 | − | 0.0899140i | ||||
\(71\) | 4.24250 | − | 7.34823i | 0.503493 | − | 0.872075i | −0.496499 | − | 0.868037i | \(-0.665381\pi\) |
0.999992 | − | 0.00403764i | \(-0.00128522\pi\) | |||||||
\(72\) | −2.58023 | + | 1.53049i | −0.304083 | + | 0.180370i | ||||
\(73\) | −5.11752 | + | 8.86381i | −0.598961 | + | 1.03743i | 0.394014 | + | 0.919104i | \(0.371086\pi\) |
−0.992975 | + | 0.118326i | \(0.962247\pi\) | |||||||
\(74\) | 3.65306 | − | 2.10909i | 0.424659 | − | 0.245177i | ||||
\(75\) | −2.84699 | − | 0.744913i | −0.328742 | − | 0.0860151i | ||||
\(76\) | 0.796762 | + | 1.38003i | 0.0913948 | + | 0.158300i | ||||
\(77\) | −0.849335 | − | 5.36027i | −0.0967907 | − | 0.610860i | ||||
\(78\) | −6.19475 | − | 0.790580i | −0.701418 | − | 0.0895156i | ||||
\(79\) | −3.68537 | − | 6.38325i | −0.414637 | − | 0.718172i | 0.580754 | − | 0.814079i | \(-0.302758\pi\) |
−0.995390 | + | 0.0959076i | \(0.969425\pi\) | |||||||
\(80\) | 1.81685i | 0.203130i | ||||||||
\(81\) | 4.31521 | − | 7.89803i | 0.479468 | − | 0.877559i | ||||
\(82\) | − | 0.458624i | − | 0.0506465i | ||||||
\(83\) | − | 15.0678i | − | 1.65391i | −0.562269 | − | 0.826954i | \(-0.690071\pi\) | ||
0.562269 | − | 0.826954i | \(-0.309929\pi\) | |||||||
\(84\) | −3.72335 | − | 2.67146i | −0.406250 | − | 0.291480i | ||||
\(85\) | 8.94843 | + | 5.16638i | 0.970594 | + | 0.560373i | ||||
\(86\) | 0.836012 | + | 1.44802i | 0.0901495 | + | 0.156143i | ||||
\(87\) | 1.03044 | + | 1.01838i | 0.110475 | + | 0.109182i | ||||
\(88\) | 2.05127 | 0.218666 | ||||||||
\(89\) | −3.34558 | − | 1.93157i | −0.354630 | − | 0.204746i | 0.312092 | − | 0.950052i | \(-0.398970\pi\) |
−0.666723 | + | 0.745306i | \(0.732303\pi\) | |||||||
\(90\) | −2.78067 | − | 4.68791i | −0.293108 | − | 0.494149i | ||||
\(91\) | −2.69233 | − | 9.15158i | −0.282233 | − | 0.959346i | ||||
\(92\) | − | 8.73960i | − | 0.911166i | ||||||
\(93\) | 13.3214 | + | 3.48553i | 1.38137 | + | 0.361433i | ||||
\(94\) | − | 2.24889i | − | 0.231955i | ||||||
\(95\) | −2.50731 | + | 1.44760i | −0.257245 | + | 0.148520i | ||||
\(96\) | 1.21751 | − | 1.23193i | 0.124262 | − | 0.125734i | ||||
\(97\) | 1.72410 | − | 2.98622i | 0.175056 | − | 0.303205i | −0.765125 | − | 0.643882i | \(-0.777323\pi\) |
0.940180 | + | 0.340677i | \(0.110656\pi\) | |||||||
\(98\) | 1.45451 | − | 6.84722i | 0.146927 | − | 0.691674i | ||||
\(99\) | −5.29275 | + | 3.13944i | −0.531941 | + | 0.315526i | ||||
\(100\) | 1.69905 | 0.169905 | ||||||||
\(101\) | −9.69622 | −0.964810 | −0.482405 | − | 0.875948i | \(-0.660237\pi\) | ||||
−0.482405 | + | 0.875948i | \(0.660237\pi\) | |||||||
\(102\) | −2.60546 | − | 9.49965i | −0.257979 | − | 0.940606i | ||||
\(103\) | 8.08628 | − | 4.66861i | 0.796765 | − | 0.460012i | −0.0455739 | − | 0.998961i | \(-0.514512\pi\) |
0.842339 | + | 0.538949i | \(0.181178\pi\) | |||||||
\(104\) | 3.57560 | − | 0.463745i | 0.350617 | − | 0.0454740i | ||||
\(105\) | 4.85365 | − | 6.76477i | 0.473667 | − | 0.660174i | ||||
\(106\) | 0.497067 | − | 0.286982i | 0.0482794 | − | 0.0278742i | ||||
\(107\) | 9.27165 | + | 5.35299i | 0.896324 | + | 0.517493i | 0.876006 | − | 0.482301i | \(-0.160199\pi\) |
0.0203184 | + | 0.999794i | \(0.493532\pi\) | |||||||
\(108\) | −1.25601 | + | 5.04207i | −0.120859 | + | 0.485173i | ||||
\(109\) | 4.30381 | + | 2.48481i | 0.412230 | + | 0.238001i | 0.691748 | − | 0.722139i | \(-0.256841\pi\) |
−0.279517 | + | 0.960141i | \(0.590174\pi\) | |||||||
\(110\) | 3.72685i | 0.355341i | ||||||||
\(111\) | 1.84938 | − | 7.06818i | 0.175535 | − | 0.670882i | ||||
\(112\) | 2.47008 | + | 0.947995i | 0.233401 | + | 0.0895771i | ||||
\(113\) | −14.4435 | − | 8.33897i | −1.35873 | − | 0.784464i | −0.369279 | − | 0.929319i | \(-0.620395\pi\) |
−0.989453 | + | 0.144855i | \(0.953729\pi\) | |||||||
\(114\) | 2.67018 | + | 0.698648i | 0.250085 | + | 0.0654344i | ||||
\(115\) | 15.8786 | 1.48068 | ||||||||
\(116\) | −0.724381 | − | 0.418222i | −0.0672571 | − | 0.0388309i | ||||
\(117\) | −8.51614 | + | 6.66899i | −0.787317 | + | 0.616548i | ||||
\(118\) | − | 2.19150i | − | 0.201743i | ||||||
\(119\) | 11.6930 | − | 9.47004i | 1.07189 | − | 0.868117i | ||||
\(120\) | 2.23824 | + | 2.21204i | 0.204323 | + | 0.201931i | ||||
\(121\) | −6.79230 | −0.617482 | ||||||||
\(122\) | −5.97394 | − | 3.44906i | −0.540855 | − | 0.312263i | ||||
\(123\) | −0.564994 | − | 0.558380i | −0.0509438 | − | 0.0503474i | ||||
\(124\) | −7.95003 | −0.713934 | ||||||||
\(125\) | 12.1712i | 1.08862i | ||||||||
\(126\) | −7.82428 | + | 1.33438i | −0.697043 | + | 0.118876i | ||||
\(127\) | −10.6930 | − | 18.5208i | −0.948852 | − | 1.64346i | −0.747849 | − | 0.663869i | \(-0.768913\pi\) |
−0.201003 | − | 0.979591i | \(-0.564420\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 2.80171 | + | 0.733065i | 0.246677 | + | 0.0645428i | ||||
\(130\) | 0.842557 | + | 6.49635i | 0.0738972 | + | 0.569767i | ||||
\(131\) | 7.44741 | + | 12.8993i | 0.650683 | + | 1.12702i | 0.982957 | + | 0.183834i | \(0.0588508\pi\) |
−0.332274 | + | 0.943183i | \(0.607816\pi\) | |||||||
\(132\) | 2.49744 | − | 2.52703i | 0.217375 | − | 0.219949i | ||||
\(133\) | 0.659804 | + | 4.16412i | 0.0572123 | + | 0.361075i | ||||
\(134\) | −4.46448 | − | 2.57757i | −0.385672 | − | 0.222668i | ||||
\(135\) | −9.16069 | − | 2.28198i | −0.788427 | − | 0.196402i | ||||
\(136\) | 2.84359 | + | 4.92524i | 0.243836 | + | 0.422336i | ||||
\(137\) | 5.80216 | + | 10.0496i | 0.495712 | + | 0.858598i | 0.999988 | − | 0.00494447i | \(-0.00157388\pi\) |
−0.504276 | + | 0.863543i | \(0.668241\pi\) | |||||||
\(138\) | −10.7666 | − | 10.6406i | −0.916515 | − | 0.905786i | ||||
\(139\) | −13.6556 | − | 7.88408i | −1.15825 | − | 0.668719i | −0.207370 | − | 0.978263i | \(-0.566490\pi\) |
−0.950885 | + | 0.309544i | \(0.899824\pi\) | |||||||
\(140\) | −1.72237 | + | 4.48778i | −0.145567 | + | 0.379286i | ||||
\(141\) | −2.77049 | − | 2.73805i | −0.233317 | − | 0.230586i | ||||
\(142\) | 4.24250 | + | 7.34823i | 0.356023 | + | 0.616650i | ||||
\(143\) | 7.33452 | − | 0.951266i | 0.613343 | − | 0.0795489i | ||||
\(144\) | −0.0353243 | − | 2.99979i | −0.00294369 | − | 0.249983i | ||||
\(145\) | 0.759847 | − | 1.31609i | 0.0631019 | − | 0.109296i | ||||
\(146\) | −5.11752 | − | 8.86381i | −0.423529 | − | 0.733574i | ||||
\(147\) | −6.66444 | − | 10.1284i | −0.549674 | − | 0.835379i | ||||
\(148\) | 4.21819i | 0.346733i | ||||||||
\(149\) | −4.81481 | −0.394444 | −0.197222 | − | 0.980359i | \(-0.563192\pi\) | ||||
−0.197222 | + | 0.980359i | \(0.563192\pi\) | |||||||
\(150\) | 2.06861 | − | 2.09311i | 0.168901 | − | 0.170902i | ||||
\(151\) | 1.23569 | + | 0.713427i | 0.100559 | + | 0.0580579i | 0.549436 | − | 0.835536i | \(-0.314843\pi\) |
−0.448877 | + | 0.893594i | \(0.648176\pi\) | |||||||
\(152\) | −1.59352 | −0.129252 | ||||||||
\(153\) | −14.8751 | − | 8.35619i | −1.20258 | − | 0.675558i | ||||
\(154\) | 5.06680 | + | 1.94459i | 0.408294 | + | 0.156700i | ||||
\(155\) | − | 14.4440i | − | 1.16017i | ||||||
\(156\) | 3.78204 | − | 4.96952i | 0.302806 | − | 0.397880i | ||||
\(157\) | 7.14347 | + | 4.12428i | 0.570111 | + | 0.329154i | 0.757194 | − | 0.653191i | \(-0.226570\pi\) |
−0.187083 | + | 0.982344i | \(0.559903\pi\) | |||||||
\(158\) | 7.37074 | 0.586385 | ||||||||
\(159\) | 0.251643 | − | 0.961759i | 0.0199566 | − | 0.0762724i | ||||
\(160\) | −1.57344 | − | 0.908426i | −0.124391 | − | 0.0718174i | ||||
\(161\) | 8.28509 | − | 21.5875i | 0.652957 | − | 1.70134i | ||||
\(162\) | 4.68229 | + | 7.68610i | 0.367875 | + | 0.603877i | ||||
\(163\) | − | 23.9508i | − | 1.87597i | −0.346676 | − | 0.937985i | \(-0.612690\pi\) | ||
0.346676 | − | 0.937985i | \(-0.387310\pi\) | |||||||
\(164\) | 0.397180 | + | 0.229312i | 0.0310145 | + | 0.0179062i | ||||
\(165\) | 4.59124 | + | 4.53749i | 0.357427 | + | 0.353243i | ||||
\(166\) | 13.0491 | + | 7.53391i | 1.01281 | + | 0.584745i | ||||
\(167\) | −20.2949 | + | 11.7173i | −1.57047 | + | 0.906711i | −0.574358 | + | 0.818604i | \(0.694748\pi\) |
−0.996111 | + | 0.0881060i | \(0.971919\pi\) | |||||||
\(168\) | 4.17522 | − | 1.88878i | 0.322126 | − | 0.145723i | ||||
\(169\) | 12.5699 | − | 3.31634i | 0.966914 | − | 0.255103i | ||||
\(170\) | −8.94843 | + | 5.16638i | −0.686313 | + | 0.396243i | ||||
\(171\) | 4.11166 | − | 2.43887i | 0.314427 | − | 0.186505i | ||||
\(172\) | −1.67202 | −0.127491 | ||||||||
\(173\) | 7.60591 | 0.578267 | 0.289133 | − | 0.957289i | \(-0.406633\pi\) | ||||
0.289133 | + | 0.957289i | \(0.406633\pi\) | |||||||
\(174\) | −1.39717 | + | 0.383200i | −0.105919 | + | 0.0290503i | ||||
\(175\) | 4.19678 | + | 1.61069i | 0.317247 | + | 0.121756i | ||||
\(176\) | −1.02563 | + | 1.77645i | −0.0773101 | + | 0.133905i | ||||
\(177\) | −2.69978 | − | 2.66817i | −0.202928 | − | 0.200552i | ||||
\(178\) | 3.34558 | − | 1.93157i | 0.250762 | − | 0.144777i | ||||
\(179\) | 18.4008i | 1.37534i | 0.726022 | + | 0.687671i | \(0.241367\pi\) | ||||
−0.726022 | + | 0.687671i | \(0.758633\pi\) | |||||||
\(180\) | 5.45018 | − | 0.0641790i | 0.406232 | − | 0.00478362i | ||||
\(181\) | 0.190838i | 0.0141849i | 0.999975 | + | 0.00709245i | \(0.00225762\pi\) | ||||
−0.999975 | + | 0.00709245i | \(0.997742\pi\) | |||||||
\(182\) | 9.27166 | + | 2.24416i | 0.687261 | + | 0.166348i | ||||
\(183\) | −11.5224 | + | 3.16023i | −0.851758 | + | 0.233611i | ||||
\(184\) | 7.56871 | + | 4.36980i | 0.557973 | + | 0.322146i | ||||
\(185\) | −7.66383 | −0.563456 | ||||||||
\(186\) | −9.67926 | + | 9.79391i | −0.709718 | + | 0.718124i | ||||
\(187\) | 5.83296 | + | 10.1030i | 0.426548 | + | 0.738803i | ||||
\(188\) | 1.94760 | + | 1.12445i | 0.142043 | + | 0.0820086i | ||||
\(189\) | −7.88230 | + | 11.2636i | −0.573353 | + | 0.819309i | ||||
\(190\) | − | 2.89520i | − | 0.210040i | ||||||
\(191\) | − | 5.19641i | − | 0.375999i | −0.982169 | − | 0.187999i | \(-0.939800\pi\) | ||
0.982169 | − | 0.187999i | \(-0.0602003\pi\) | |||||||
\(192\) | 0.458130 | + | 1.67036i | 0.0330627 | + | 0.120548i | ||||
\(193\) | − | 11.0120i | − | 0.792663i | −0.918108 | − | 0.396331i | \(-0.870283\pi\) | ||
0.918108 | − | 0.396331i | \(-0.129717\pi\) | |||||||
\(194\) | 1.72410 | + | 2.98622i | 0.123783 | + | 0.214398i | ||||
\(195\) | 9.02890 | + | 6.87141i | 0.646573 | + | 0.492072i | ||||
\(196\) | 5.20261 | + | 4.68325i | 0.371615 | + | 0.334518i | ||||
\(197\) | −11.1333 | − | 19.2835i | −0.793218 | − | 1.37389i | −0.923964 | − | 0.382478i | \(-0.875071\pi\) |
0.130746 | − | 0.991416i | \(-0.458263\pi\) | |||||||
\(198\) | −0.0724595 | − | 6.15338i | −0.00514947 | − | 0.437301i | ||||
\(199\) | −16.5364 | + | 9.54728i | −1.17223 | + | 0.676789i | −0.954205 | − | 0.299154i | \(-0.903296\pi\) |
−0.218027 | + | 0.975943i | \(0.569962\pi\) | |||||||
\(200\) | −0.849523 | + | 1.47142i | −0.0600703 | + | 0.104045i | ||||
\(201\) | −8.61096 | + | 2.36172i | −0.607370 | + | 0.166583i | ||||
\(202\) | 4.84811 | − | 8.39717i | 0.341112 | − | 0.590823i | ||||
\(203\) | −1.39281 | − | 1.71975i | −0.0977560 | − | 0.120703i | ||||
\(204\) | 9.52967 | + | 2.49343i | 0.667211 | + | 0.174575i | ||||
\(205\) | −0.416626 | + | 0.721617i | −0.0290984 | + | 0.0503999i | ||||
\(206\) | 9.33723i | 0.650556i | ||||||||
\(207\) | −26.2170 | + | 0.308720i | −1.82221 | + | 0.0214575i | ||||
\(208\) | −1.38619 | + | 3.32844i | −0.0961147 | + | 0.230786i | ||||
\(209\) | −3.26874 | −0.226104 | ||||||||
\(210\) | 3.43164 | + | 7.58577i | 0.236806 | + | 0.523468i | ||||
\(211\) | −7.80557 | − | 13.5196i | −0.537358 | − | 0.930731i | −0.999045 | − | 0.0436882i | \(-0.986089\pi\) |
0.461688 | − | 0.887043i | \(-0.347244\pi\) | |||||||
\(212\) | 0.573964i | 0.0394200i | ||||||||
\(213\) | 14.2178 | + | 3.72008i | 0.974191 | + | 0.254896i | ||||
\(214\) | −9.27165 | + | 5.35299i | −0.633797 | + | 0.365923i | ||||
\(215\) | − | 3.03782i | − | 0.207178i | ||||||
\(216\) | −3.73855 | − | 3.60877i | −0.254376 | − | 0.245546i | ||||
\(217\) | −19.6372 | − | 7.53658i | −1.33306 | − | 0.511617i | ||||
\(218\) | −4.30381 | + | 2.48481i | −0.291491 | + | 0.168292i | ||||
\(219\) | −17.1503 | − | 4.48735i | −1.15891 | − | 0.303227i | ||||
\(220\) | −3.22755 | − | 1.86343i | −0.217601 | − | 0.125632i | ||||
\(221\) | 12.4516 | + | 16.2920i | 0.837585 | + | 1.09592i | ||||
\(222\) | 5.19653 | + | 5.13570i | 0.348768 | + | 0.344686i | ||||
\(223\) | 4.91509 | + | 8.51319i | 0.329139 | + | 0.570085i | 0.982341 | − | 0.187098i | \(-0.0599082\pi\) |
−0.653202 | + | 0.757183i | \(0.726575\pi\) | |||||||
\(224\) | −2.05603 | + | 1.66516i | −0.137374 | + | 0.111258i | ||||
\(225\) | −0.0600175 | − | 5.09678i | −0.00400117 | − | 0.339786i | ||||
\(226\) | 14.4435 | − | 8.33897i | 0.960768 | − | 0.554700i | ||||
\(227\) | −9.84889 | + | 5.68626i | −0.653694 | + | 0.377410i | −0.789870 | − | 0.613274i | \(-0.789852\pi\) |
0.136176 | + | 0.990685i | \(0.456519\pi\) | |||||||
\(228\) | −1.94014 | + | 1.96312i | −0.128489 | + | 0.130011i | ||||
\(229\) | 9.48968 | + | 16.4366i | 0.627096 | + | 1.08616i | 0.988132 | + | 0.153610i | \(0.0490898\pi\) |
−0.361036 | + | 0.932552i | \(0.617577\pi\) | |||||||
\(230\) | −7.93928 | + | 13.7512i | −0.523501 | + | 0.906730i | ||||
\(231\) | 8.56450 | − | 3.87440i | 0.563503 | − | 0.254917i | ||||
\(232\) | 0.724381 | − | 0.418222i | 0.0475580 | − | 0.0274576i | ||||
\(233\) | −18.2307 | + | 10.5255i | −1.19433 | + | 0.689550i | −0.959287 | − | 0.282434i | \(-0.908858\pi\) |
−0.235048 | + | 0.971984i | \(0.575525\pi\) | |||||||
\(234\) | −1.51745 | − | 10.7097i | −0.0991985 | − | 0.700114i | ||||
\(235\) | −2.04295 | + | 3.53850i | −0.133267 | + | 0.230826i | ||||
\(236\) | 1.89789 | + | 1.09575i | 0.123542 | + | 0.0713271i | ||||
\(237\) | 8.97398 | − | 9.08027i | 0.582922 | − | 0.589827i | ||||
\(238\) | 2.35480 | + | 14.8614i | 0.152639 | + | 0.963324i | ||||
\(239\) | 16.6885 | 1.07949 | 0.539746 | − | 0.841828i | \(-0.318520\pi\) | ||||
0.539746 | + | 0.841828i | \(0.318520\pi\) | |||||||
\(240\) | −3.03481 | + | 0.832355i | −0.195896 | + | 0.0537283i | ||||
\(241\) | 7.63733 | + | 13.2282i | 0.491963 | + | 0.852106i | 0.999957 | − | 0.00925504i | \(-0.00294601\pi\) |
−0.507994 | + | 0.861361i | \(0.669613\pi\) | |||||||
\(242\) | 3.39615 | − | 5.88231i | 0.218313 | − | 0.378129i | ||||
\(243\) | 15.1695 | + | 3.58966i | 0.973125 | + | 0.230277i | ||||
\(244\) | 5.97394 | − | 3.44906i | 0.382443 | − | 0.220803i | ||||
\(245\) | −8.50877 | + | 9.45238i | −0.543606 | + | 0.603891i | ||||
\(246\) | 0.766068 | − | 0.210109i | 0.0488427 | − | 0.0133961i | ||||
\(247\) | −5.69781 | + | 0.738989i | −0.362543 | + | 0.0470208i | ||||
\(248\) | 3.97501 | − | 6.88493i | 0.252414 | − | 0.437193i | ||||
\(249\) | 25.1688 | − | 6.90302i | 1.59501 | − | 0.437461i | ||||
\(250\) | −10.5406 | − | 6.08559i | −0.666643 | − | 0.384887i | ||||
\(251\) | −4.91975 | + | 8.52125i | −0.310532 | + | 0.537857i | −0.978478 | − | 0.206353i | \(-0.933840\pi\) |
0.667946 | + | 0.744210i | \(0.267174\pi\) | |||||||
\(252\) | 2.75653 | − | 7.44322i | 0.173645 | − | 0.468879i | ||||
\(253\) | 15.5255 | + | 8.96363i | 0.976077 | + | 0.563538i | ||||
\(254\) | 21.3860 | 1.34188 | ||||||||
\(255\) | −4.53019 | + | 17.3140i | −0.283692 | + | 1.08425i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 0.766166 | − | 1.32704i | 0.0477921 | − | 0.0827784i | −0.841140 | − | 0.540818i | \(-0.818115\pi\) |
0.888932 | + | 0.458039i | \(0.151448\pi\) | |||||||
\(258\) | −2.03571 | + | 2.05982i | −0.126738 | + | 0.128239i | ||||
\(259\) | −3.99882 | + | 10.4193i | −0.248475 | + | 0.647422i | ||||
\(260\) | −6.04728 | − | 2.51850i | −0.375036 | − | 0.156191i | ||||
\(261\) | −1.22899 | + | 2.18777i | −0.0760726 | + | 0.135419i | ||||
\(262\) | −14.8948 | −0.920205 | ||||||||
\(263\) | − | 19.5745i | − | 1.20701i | −0.797358 | − | 0.603507i | \(-0.793770\pi\) | ||
0.797358 | − | 0.603507i | \(-0.206230\pi\) | |||||||
\(264\) | 0.939747 | + | 3.42636i | 0.0578374 | + | 0.210878i | ||||
\(265\) | −1.04281 | −0.0640592 | ||||||||
\(266\) | −3.93613 | − | 1.51065i | −0.241340 | − | 0.0926240i | ||||
\(267\) | 1.69372 | − | 6.47324i | 0.103654 | − | 0.396156i | ||||
\(268\) | 4.46448 | − | 2.57757i | 0.272712 | − | 0.157450i | ||||
\(269\) | 6.77900 | + | 11.7416i | 0.413323 | + | 0.715897i | 0.995251 | − | 0.0973438i | \(-0.0310346\pi\) |
−0.581928 | + | 0.813241i | \(0.697701\pi\) | |||||||
\(270\) | 6.55660 | − | 6.79240i | 0.399022 | − | 0.413373i | ||||
\(271\) | −14.0278 | + | 24.2968i | −0.852127 | + | 1.47593i | 0.0271578 | + | 0.999631i | \(0.491354\pi\) |
−0.879285 | + | 0.476296i | \(0.841979\pi\) | |||||||
\(272\) | −5.68717 | −0.344836 | ||||||||
\(273\) | 14.0530 | − | 8.68978i | 0.850528 | − | 0.525929i | ||||
\(274\) | −11.6043 | −0.701042 | ||||||||
\(275\) | −1.74260 | + | 3.01827i | −0.105083 | + | 0.182008i | ||||
\(276\) | 14.5983 | − | 4.00387i | 0.878715 | − | 0.241005i | ||||
\(277\) | −11.6642 | − | 20.2030i | −0.700836 | − | 1.21388i | −0.968173 | − | 0.250280i | \(-0.919477\pi\) |
0.267338 | − | 0.963603i | \(-0.413856\pi\) | |||||||
\(278\) | 13.6556 | − | 7.88408i | 0.819010 | − | 0.472856i | ||||
\(279\) | 0.280829 | + | 23.8484i | 0.0168128 | + | 1.42777i | ||||
\(280\) | −3.02534 | − | 3.73550i | −0.180799 | − | 0.223239i | ||||
\(281\) | 26.6302 | 1.58862 | 0.794311 | − | 0.607512i | \(-0.207832\pi\) | ||||
0.794311 | + | 0.607512i | \(0.207832\pi\) | |||||||
\(282\) | 3.75647 | − | 1.03028i | 0.223694 | − | 0.0613525i | ||||
\(283\) | − | 26.9193i | − | 1.60019i | −0.599875 | − | 0.800093i | \(-0.704783\pi\) | ||
0.599875 | − | 0.800093i | \(-0.295217\pi\) | |||||||
\(284\) | −8.48501 | −0.503493 | ||||||||
\(285\) | −3.56669 | − | 3.52494i | −0.211273 | − | 0.208799i | ||||
\(286\) | −2.84344 | + | 6.82751i | −0.168136 | + | 0.403719i | ||||
\(287\) | 0.763680 | + | 0.942943i | 0.0450786 | + | 0.0556602i | ||||
\(288\) | 2.61556 | + | 1.46930i | 0.154123 | + | 0.0865796i | ||||
\(289\) | −7.67197 | + | 13.2882i | −0.451293 | + | 0.781662i | ||||
\(290\) | 0.759847 | + | 1.31609i | 0.0446198 | + | 0.0772837i | ||||
\(291\) | 5.77794 | + | 1.51179i | 0.338709 | + | 0.0886228i | ||||
\(292\) | 10.2350 | 0.598961 | ||||||||
\(293\) | −6.97220 | − | 4.02540i | −0.407320 | − | 0.235167i | 0.282317 | − | 0.959321i | \(-0.408897\pi\) |
−0.689638 | + | 0.724154i | \(0.742230\pi\) | |||||||
\(294\) | 12.1037 | − | 0.707360i | 0.705902 | − | 0.0412541i | ||||
\(295\) | −1.99081 | + | 3.44819i | −0.115910 | + | 0.200761i | ||||
\(296\) | −3.65306 | − | 2.10909i | −0.212330 | − | 0.122589i | ||||
\(297\) | −7.66878 | − | 7.40255i | −0.444987 | − | 0.429539i | ||||
\(298\) | 2.40740 | − | 4.16974i | 0.139457 | − | 0.241547i | ||||
\(299\) | 29.0892 | + | 12.1147i | 1.68227 | + | 0.700612i | ||||
\(300\) | 0.778384 | + | 2.83803i | 0.0449400 | + | 0.163853i | ||||
\(301\) | −4.13004 | − | 1.58507i | −0.238051 | − | 0.0913619i | ||||
\(302\) | −1.23569 | + | 0.713427i | −0.0711061 | + | 0.0410531i | ||||
\(303\) | −4.44213 | − | 16.1962i | −0.255194 | − | 0.930449i | ||||
\(304\) | 0.796762 | − | 1.38003i | 0.0456974 | − | 0.0791502i | ||||
\(305\) | 6.26643 | + | 10.8538i | 0.358815 | + | 0.621486i | ||||
\(306\) | 14.6742 | − | 8.70415i | 0.838870 | − | 0.497583i | ||||
\(307\) | −13.6194 | −0.777300 | −0.388650 | − | 0.921385i | \(-0.627058\pi\) | ||||
−0.388650 | + | 0.921385i | \(0.627058\pi\) | |||||||
\(308\) | −4.21746 | + | 3.41568i | −0.240312 | + | 0.194627i | ||||
\(309\) | 11.5029 | + | 11.3682i | 0.654374 | + | 0.646714i | ||||
\(310\) | 12.5089 | + | 7.22202i | 0.710458 | + | 0.410183i | ||||
\(311\) | −12.6742 | + | 21.9523i | −0.718685 | + | 1.24480i | 0.242835 | + | 0.970068i | \(0.421923\pi\) |
−0.961521 | + | 0.274732i | \(0.911411\pi\) | |||||||
\(312\) | 2.41271 | + | 5.76010i | 0.136593 | + | 0.326102i | ||||
\(313\) | −7.41295 | + | 4.27987i | −0.419005 | + | 0.241913i | −0.694651 | − | 0.719347i | \(-0.744441\pi\) |
0.275647 | + | 0.961259i | \(0.411108\pi\) | |||||||
\(314\) | −7.14347 | + | 4.12428i | −0.403129 | + | 0.232747i | ||||
\(315\) | 13.5232 | + | 5.00821i | 0.761948 | + | 0.282181i | ||||
\(316\) | −3.68537 | + | 6.38325i | −0.207318 | + | 0.359086i | ||||
\(317\) | −11.7752 | − | 20.3952i | −0.661360 | − | 1.14551i | −0.980258 | − | 0.197721i | \(-0.936646\pi\) |
0.318898 | − | 0.947789i | \(-0.396687\pi\) | |||||||
\(318\) | 0.707086 | + | 0.698809i | 0.0396514 | + | 0.0391872i | ||||
\(319\) | 1.48590 | − | 0.857885i | 0.0831944 | − | 0.0480323i | ||||
\(320\) | 1.57344 | − | 0.908426i | 0.0879580 | − | 0.0507826i | ||||
\(321\) | −4.69382 | + | 17.9394i | −0.261984 | + | 1.00128i | ||||
\(322\) | 14.5528 | + | 17.9689i | 0.810996 | + | 1.00137i | ||||
\(323\) | −4.53132 | − | 7.84848i | −0.252129 | − | 0.436701i | ||||
\(324\) | −8.99750 | + | 0.211931i | −0.499861 | + | 0.0117739i | ||||
\(325\) | −2.35519 | + | 5.65516i | −0.130643 | + | 0.313692i | ||||
\(326\) | 20.7420 | + | 11.9754i | 1.14879 | + | 0.663256i | ||||
\(327\) | −2.17883 | + | 8.32730i | −0.120489 | + | 0.460501i | ||||
\(328\) | −0.397180 | + | 0.229312i | −0.0219306 | + | 0.0126616i | ||||
\(329\) | 3.74476 | + | 4.62378i | 0.206455 | + | 0.254917i | ||||
\(330\) | −6.22520 | + | 1.70738i | −0.342686 | + | 0.0939883i | ||||
\(331\) | 7.11121i | 0.390868i | 0.980717 | + | 0.195434i | \(0.0626115\pi\) | ||||
−0.980717 | + | 0.195434i | \(0.937389\pi\) | |||||||
\(332\) | −13.0491 | + | 7.53391i | −0.716163 | + | 0.413477i | ||||
\(333\) | 12.6537 | − | 0.149004i | 0.693418 | − | 0.00816539i | ||||
\(334\) | − | 23.4346i | − | 1.28228i | ||||||
\(335\) | 4.68306 | + | 8.11130i | 0.255863 | + | 0.443168i | ||||
\(336\) | −0.451878 | + | 4.56024i | −0.0246520 | + | 0.248782i | ||||
\(337\) | 19.1187 | 1.04146 | 0.520730 | − | 0.853722i | \(-0.325660\pi\) | ||||
0.520730 | + | 0.853722i | \(0.325660\pi\) | |||||||
\(338\) | −3.41291 | + | 12.5440i | −0.185638 | + | 0.682304i | ||||
\(339\) | 7.31211 | − | 27.9463i | 0.397139 | − | 1.51783i | ||||
\(340\) | − | 10.3328i | − | 0.560373i | ||||||
\(341\) | 8.15382 | − | 14.1228i | 0.441554 | − | 0.764794i | ||||
\(342\) | 0.0562900 | + | 4.78024i | 0.00304382 | + | 0.258486i | ||||
\(343\) | 8.41119 | + | 16.5001i | 0.454161 | + | 0.890919i | ||||
\(344\) | 0.836012 | − | 1.44802i | 0.0450747 | − | 0.0780717i | ||||
\(345\) | 7.27444 | + | 26.5230i | 0.391643 | + | 1.42795i | ||||
\(346\) | −3.80295 | + | 6.58691i | −0.204448 | + | 0.354114i | ||||
\(347\) | −19.9793 | + | 11.5350i | −1.07254 | + | 0.619233i | −0.928875 | − | 0.370393i | \(-0.879223\pi\) |
−0.143668 | + | 0.989626i | \(0.545890\pi\) | |||||||
\(348\) | 0.366722 | − | 1.40158i | 0.0196584 | − | 0.0751326i | ||||
\(349\) | −2.11359 | − | 3.66085i | −0.113138 | − | 0.195961i | 0.803896 | − | 0.594770i | \(-0.202757\pi\) |
−0.917034 | + | 0.398809i | \(0.869424\pi\) | |||||||
\(350\) | −3.49329 | + | 2.82918i | −0.186724 | + | 0.151226i | ||||
\(351\) | −15.0411 | − | 11.1698i | −0.802837 | − | 0.596199i | ||||
\(352\) | −1.02563 | − | 1.77645i | −0.0546665 | − | 0.0946851i | ||||
\(353\) | 31.9394i | 1.69996i | 0.526813 | + | 0.849981i | \(0.323387\pi\) | ||||
−0.526813 | + | 0.849981i | \(0.676613\pi\) | |||||||
\(354\) | 3.66060 | − | 1.00399i | 0.194558 | − | 0.0533614i | ||||
\(355\) | − | 15.4160i | − | 0.818197i | ||||||
\(356\) | 3.86314i | 0.204746i | ||||||||
\(357\) | 21.1753 | + | 15.1931i | 1.12072 | + | 0.804101i | ||||
\(358\) | −15.9356 | − | 9.20041i | −0.842222 | − | 0.486257i | ||||
\(359\) | −12.2496 | − | 21.2169i | −0.646509 | − | 1.11979i | −0.983951 | − | 0.178440i | \(-0.942895\pi\) |
0.337442 | − | 0.941346i | \(-0.390438\pi\) | |||||||
\(360\) | −2.66951 | + | 4.75208i | −0.140696 | + | 0.250457i | ||||
\(361\) | −16.4607 | −0.866352 | ||||||||
\(362\) | −0.165271 | − | 0.0954192i | −0.00868645 | − | 0.00501512i | ||||
\(363\) | −3.11176 | − | 11.3456i | −0.163325 | − | 0.595491i | ||||
\(364\) | −6.57933 | + | 6.90741i | −0.344851 | + | 0.362047i | ||||
\(365\) | 18.5956i | 0.973337i | ||||||||
\(366\) | 3.02434 | − | 11.5588i | 0.158085 | − | 0.604187i | ||||
\(367\) | − | 33.2113i | − | 1.73361i | −0.498643 | − | 0.866807i | \(-0.666168\pi\) | ||
0.498643 | − | 0.866807i | \(-0.333832\pi\) | |||||||
\(368\) | −7.56871 | + | 4.36980i | −0.394546 | + | 0.227792i | ||||
\(369\) | 0.673858 | − | 1.19956i | 0.0350796 | − | 0.0624464i | ||||
\(370\) | 3.83191 | − | 6.63707i | 0.199212 | − | 0.345045i | ||||
\(371\) | −0.544115 | + | 1.41774i | −0.0282490 | + | 0.0736053i | ||||
\(372\) | −3.64215 | − | 13.2794i | −0.188836 | − | 0.688507i | ||||
\(373\) | −4.12006 | −0.213328 | −0.106664 | − | 0.994295i | \(-0.534017\pi\) | ||||
−0.106664 | + | 0.994295i | \(0.534017\pi\) | |||||||
\(374\) | −11.6659 | −0.603230 | ||||||||
\(375\) | −20.3303 | + | 5.57598i | −1.04985 | + | 0.287942i | ||||
\(376\) | −1.94760 | + | 1.12445i | −0.100440 | + | 0.0579888i | ||||
\(377\) | 2.39615 | − | 1.83132i | 0.123408 | − | 0.0943179i | ||||
\(378\) | −5.81344 | − | 12.4581i | −0.299011 | − | 0.640775i | ||||
\(379\) | −2.80001 | + | 1.61659i | −0.143827 | + | 0.0830385i | −0.570187 | − | 0.821515i | \(-0.693129\pi\) |
0.426360 | + | 0.904554i | \(0.359796\pi\) | |||||||
\(380\) | 2.50731 | + | 1.44760i | 0.128623 | + | 0.0742602i | ||||
\(381\) | 26.0378 | − | 26.3462i | 1.33396 | − | 1.34976i | ||||
\(382\) | 4.50022 | + | 2.59820i | 0.230251 | + | 0.132936i | ||||
\(383\) | 4.17622i | 0.213395i | 0.994292 | + | 0.106698i | \(0.0340276\pi\) | ||||
−0.994292 | + | 0.106698i | \(0.965972\pi\) | |||||||
\(384\) | −1.67564 | − | 0.438430i | −0.0855098 | − | 0.0223735i | ||||
\(385\) | −6.20579 | − | 7.66251i | −0.316276 | − | 0.390518i | ||||
\(386\) | 9.53669 | + | 5.50601i | 0.485405 | + | 0.280249i | ||||
\(387\) | 0.0590630 | + | 5.01572i | 0.00300234 | + | 0.254964i | ||||
\(388\) | −3.44819 | −0.175056 | ||||||||
\(389\) | 3.57665 | + | 2.06498i | 0.181343 | + | 0.104699i | 0.587924 | − | 0.808916i | \(-0.299946\pi\) |
−0.406580 | + | 0.913615i | \(0.633279\pi\) | |||||||
\(390\) | −10.4653 | + | 4.38355i | −0.529929 | + | 0.221970i | ||||
\(391\) | 49.7036i | 2.51362i | ||||||||
\(392\) | −6.65712 | + | 2.16397i | −0.336235 | + | 0.109297i | ||||
\(393\) | −18.1346 | + | 18.3494i | −0.914772 | + | 0.925607i | ||||
\(394\) | 22.2667 | 1.12178 | ||||||||
\(395\) | −11.5974 | − | 6.69578i | −0.583530 | − | 0.336901i | ||||
\(396\) | 5.36521 | + | 3.01394i | 0.269612 | + | 0.151456i | ||||
\(397\) | 4.76265 | 0.239031 | 0.119515 | − | 0.992832i | \(-0.461866\pi\) | ||||
0.119515 | + | 0.992832i | \(0.461866\pi\) | |||||||
\(398\) | − | 19.0946i | − | 0.957124i | ||||||
\(399\) | −6.65332 | + | 3.00982i | −0.333082 | + | 0.150679i | ||||
\(400\) | −0.849523 | − | 1.47142i | −0.0424761 | − | 0.0735708i | ||||
\(401\) | −7.74045 | + | 13.4069i | −0.386540 | + | 0.669507i | −0.991982 | − | 0.126383i | \(-0.959663\pi\) |
0.605442 | + | 0.795890i | \(0.292996\pi\) | |||||||
\(402\) | 2.26017 | − | 8.63817i | 0.112727 | − | 0.430833i | ||||
\(403\) | 11.0202 | − | 26.4612i | 0.548956 | − | 1.31812i | ||||
\(404\) | 4.84811 | + | 8.39717i | 0.241202 | + | 0.417775i | ||||
\(405\) | −0.385047 | − | 16.3471i | −0.0191331 | − | 0.812296i | ||||
\(406\) | 2.18575 | − | 0.346332i | 0.108477 | − | 0.0171882i | ||||
\(407\) | −7.49340 | − | 4.32632i | −0.371434 | − | 0.214448i | ||||
\(408\) | −6.92421 | + | 7.00622i | −0.342799 | + | 0.346860i | ||||
\(409\) | −19.8942 | − | 34.4578i | −0.983706 | − | 1.70383i | −0.647551 | − | 0.762022i | \(-0.724207\pi\) |
−0.336155 | − | 0.941807i | \(-0.609127\pi\) | |||||||
\(410\) | −0.416626 | − | 0.721617i | −0.0205757 | − | 0.0356381i | ||||
\(411\) | −14.1284 | + | 14.2958i | −0.696903 | + | 0.705158i | ||||
\(412\) | −8.08628 | − | 4.66861i | −0.398382 | − | 0.230006i | ||||
\(413\) | 3.64918 | + | 4.50578i | 0.179565 | + | 0.221715i | ||||
\(414\) | 12.8411 | − | 22.8589i | 0.631107 | − | 1.12345i | ||||
\(415\) | −13.6880 | − | 23.7083i | −0.671918 | − | 1.16380i | ||||
\(416\) | −2.18942 | − | 2.86469i | −0.107345 | − | 0.140453i | ||||
\(417\) | 6.91323 | − | 26.4218i | 0.338542 | − | 1.29388i | ||||
\(418\) | 1.63437 | − | 2.83081i | 0.0799397 | − | 0.138460i | ||||
\(419\) | −13.1146 | − | 22.7152i | −0.640690 | − | 1.10971i | −0.985279 | − | 0.170954i | \(-0.945315\pi\) |
0.344589 | − | 0.938754i | \(-0.388018\pi\) | |||||||
\(420\) | −8.28529 | − | 0.820996i | −0.404281 | − | 0.0400605i | ||||
\(421\) | 14.0343i | 0.683989i | 0.939702 | + | 0.341994i | \(0.111102\pi\) | ||||
−0.939702 | + | 0.341994i | \(0.888898\pi\) | |||||||
\(422\) | 15.6111 | 0.759939 | ||||||||
\(423\) | 3.30430 | − | 5.88210i | 0.160661 | − | 0.285998i | ||||
\(424\) | −0.497067 | − | 0.286982i | −0.0241397 | − | 0.0139371i | ||||
\(425\) | −9.66277 | −0.468713 | ||||||||
\(426\) | −10.3306 | + | 10.4530i | −0.500520 | + | 0.506448i | ||||
\(427\) | 18.0258 | − | 2.85619i | 0.872331 | − | 0.138221i | ||||
\(428\) | − | 10.7060i | − | 0.517493i | ||||||
\(429\) | 4.94912 | + | 11.8155i | 0.238946 | + | 0.570458i | ||||
\(430\) | 2.63083 | + | 1.51891i | 0.126870 | + | 0.0732484i | ||||
\(431\) | −16.1254 | −0.776735 | −0.388368 | − | 0.921504i | \(-0.626961\pi\) | ||||
−0.388368 | + | 0.921504i | \(0.626961\pi\) | |||||||
\(432\) | 4.99456 | − | 1.43330i | 0.240301 | − | 0.0689596i | ||||
\(433\) | 13.9038 | + | 8.02734i | 0.668172 | + | 0.385769i | 0.795384 | − | 0.606106i | \(-0.207269\pi\) |
−0.127211 | + | 0.991876i | \(0.540603\pi\) | |||||||
\(434\) | 16.3455 | − | 13.2380i | 0.784608 | − | 0.635446i | ||||
\(435\) | 2.54647 | + | 0.666280i | 0.122094 | + | 0.0319457i | ||||
\(436\) | − | 4.96961i | − | 0.238001i | ||||||
\(437\) | −12.0609 | − | 6.96338i | −0.576952 | − | 0.333103i | ||||
\(438\) | 12.4613 | − | 12.6089i | 0.595424 | − | 0.602477i | ||||
\(439\) | 14.0100 | + | 8.08869i | 0.668662 | + | 0.386052i | 0.795570 | − | 0.605862i | \(-0.207172\pi\) |
−0.126907 | + | 0.991915i | \(0.540505\pi\) | |||||||
\(440\) | 3.22755 | − | 1.86343i | 0.153867 | − | 0.0888353i | ||||
\(441\) | 13.8650 | − | 15.7722i | 0.660238 | − | 0.751057i | ||||
\(442\) | −20.3351 | + | 2.63740i | −0.967241 | + | 0.125448i | ||||
\(443\) | 10.8594 | − | 6.26970i | 0.515948 | − | 0.297883i | −0.219327 | − | 0.975651i | \(-0.570386\pi\) |
0.735275 | + | 0.677769i | \(0.237053\pi\) | |||||||
\(444\) | −7.04591 | + | 1.93248i | −0.334384 | + | 0.0917114i | ||||
\(445\) | −7.01875 | −0.332721 | ||||||||
\(446\) | −9.83018 | −0.465473 | ||||||||
\(447\) | −2.20581 | − | 8.04248i | −0.104331 | − | 0.380396i | ||||
\(448\) | −0.414054 | − | 2.61315i | −0.0195622 | − | 0.123460i | ||||
\(449\) | −8.48307 | + | 14.6931i | −0.400341 | + | 0.693411i | −0.993767 | − | 0.111478i | \(-0.964442\pi\) |
0.593426 | + | 0.804888i | \(0.297775\pi\) | |||||||
\(450\) | 4.44395 | + | 2.49641i | 0.209490 | + | 0.117682i | ||||
\(451\) | −0.814722 | + | 0.470380i | −0.0383637 | + | 0.0221493i | ||||
\(452\) | 16.6779i | 0.784464i | ||||||||
\(453\) | −0.625576 | + | 2.39090i | −0.0293921 | + | 0.112334i | ||||
\(454\) | − | 11.3725i | − | 0.533739i | ||||||
\(455\) | −12.5498 | − | 11.9537i | −0.588342 | − | 0.560397i | ||||
\(456\) | −0.730041 | − | 2.66176i | −0.0341873 | − | 0.124649i | ||||
\(457\) | −8.20508 | − | 4.73720i | −0.383817 | − | 0.221597i | 0.295660 | − | 0.955293i | \(-0.404460\pi\) |
−0.679478 | + | 0.733696i | \(0.737794\pi\) | |||||||
\(458\) | −18.9794 | −0.886847 | ||||||||
\(459\) | 7.14314 | − | 28.6751i | 0.333413 | − | 1.33844i | ||||
\(460\) | −7.93928 | − | 13.7512i | −0.370171 | − | 0.641155i | ||||
\(461\) | 31.5250 | + | 18.2010i | 1.46827 | + | 0.847703i | 0.999368 | − | 0.0355490i | \(-0.0113180\pi\) |
0.468898 | + | 0.883253i | \(0.344651\pi\) | |||||||
\(462\) | −0.926922 | + | 9.35428i | −0.0431243 | + | 0.435200i | ||||
\(463\) | − | 17.8517i | − | 0.829638i | −0.909904 | − | 0.414819i | \(-0.863845\pi\) | ||
0.909904 | − | 0.414819i | \(-0.136155\pi\) | |||||||
\(464\) | 0.836443i | 0.0388309i | ||||||||
\(465\) | 24.1268 | − | 6.61724i | 1.11885 | − | 0.306867i | ||||
\(466\) | − | 21.0510i | − | 0.975170i | ||||||
\(467\) | −15.1928 | − | 26.3147i | −0.703039 | − | 1.21770i | −0.967394 | − | 0.253274i | \(-0.918492\pi\) |
0.264355 | − | 0.964425i | \(-0.414841\pi\) | |||||||
\(468\) | 10.0336 | + | 4.04070i | 0.463803 | + | 0.186781i | ||||
\(469\) | 13.4712 | − | 2.13450i | 0.622040 | − | 0.0985622i | ||||
\(470\) | −2.04295 | − | 3.53850i | −0.0942343 | − | 0.163219i | ||||
\(471\) | −3.61642 | + | 13.8217i | −0.166636 | + | 0.636868i | ||||
\(472\) | −1.89789 | + | 1.09575i | −0.0873575 | + | 0.0504359i | ||||
\(473\) | 1.71488 | − | 2.97027i | 0.0788505 | − | 0.136573i | ||||
\(474\) | 3.37676 | + | 12.3118i | 0.155100 | + | 0.565501i | ||||
\(475\) | 1.35373 | − | 2.34474i | 0.0621136 | − | 0.107584i | ||||
\(476\) | −14.0478 | − | 5.39141i | −0.643879 | − | 0.247115i | ||||
\(477\) | 1.72177 | − | 0.0202748i | 0.0788345 | − | 0.000928322i | ||||
\(478\) | −8.34427 | + | 14.4527i | −0.381658 | + | 0.661051i | ||||
\(479\) | − | 23.0354i | − | 1.05251i | −0.850326 | − | 0.526257i | \(-0.823595\pi\) | ||
0.850326 | − | 0.526257i | \(-0.176405\pi\) | |||||||
\(480\) | 0.796563 | − | 3.04440i | 0.0363580 | − | 0.138957i | ||||
\(481\) | −14.0400 | − | 5.84720i | −0.640168 | − | 0.266609i | ||||
\(482\) | −15.2747 | −0.695741 | ||||||||
\(483\) | 39.8547 | + | 3.94923i | 1.81345 | + | 0.179696i | ||||
\(484\) | 3.39615 | + | 5.88231i | 0.154370 | + | 0.267378i | ||||
\(485\) | − | 6.26486i | − | 0.284473i | ||||||
\(486\) | −10.6935 | + | 11.3424i | −0.485067 | + | 0.514500i | ||||
\(487\) | −12.3041 | + | 7.10375i | −0.557550 | + | 0.321902i | −0.752162 | − | 0.658979i | \(-0.770989\pi\) |
0.194611 | + | 0.980880i | \(0.437655\pi\) | |||||||
\(488\) | 6.89812i | 0.312263i | ||||||||
\(489\) | 40.0065 | − | 10.9726i | 1.80916 | − | 0.496197i | ||||
\(490\) | −3.93162 | − | 12.0950i | −0.177612 | − | 0.546397i | ||||
\(491\) | 2.47085 | − | 1.42654i | 0.111508 | − | 0.0643790i | −0.443209 | − | 0.896418i | \(-0.646160\pi\) |
0.554717 | + | 0.832039i | \(0.312827\pi\) | |||||||
\(492\) | −0.201074 | + | 0.768489i | −0.00906513 | + | 0.0346462i | ||||
\(493\) | 4.11968 | + | 2.37850i | 0.185541 | + | 0.107122i | ||||
\(494\) | 2.20892 | − | 5.30394i | 0.0993840 | − | 0.238636i | ||||
\(495\) | −5.47588 | + | 9.74780i | −0.246122 | + | 0.438131i | ||||
\(496\) | 3.97501 | + | 6.88493i | 0.178483 | + | 0.309142i | ||||
\(497\) | −20.9587 | − | 8.04374i | −0.940125 | − | 0.360811i | ||||
\(498\) | −6.60619 | + | 25.2483i | −0.296030 | + | 1.13140i | ||||
\(499\) | 15.9720 | − | 9.22146i | 0.715007 | − | 0.412809i | −0.0979055 | − | 0.995196i | \(-0.531214\pi\) |
0.812912 | + | 0.582386i | \(0.197881\pi\) | |||||||
\(500\) | 10.5406 | − | 6.08559i | 0.471388 | − | 0.272156i | ||||
\(501\) | −28.8698 | − | 28.5319i | −1.28981 | − | 1.27471i | ||||
\(502\) | −4.91975 | − | 8.52125i | −0.219579 | − | 0.380322i | ||||
\(503\) | −6.05432 | + | 10.4864i | −0.269949 | + | 0.467565i | −0.968848 | − | 0.247655i | \(-0.920340\pi\) |
0.698900 | + | 0.715220i | \(0.253673\pi\) | |||||||
\(504\) | 5.06775 | + | 6.10884i | 0.225736 | + | 0.272109i | ||||
\(505\) | −15.2564 | + | 8.80830i | −0.678902 | + | 0.391964i | ||||
\(506\) | −15.5255 | + | 8.96363i | −0.690191 | + | 0.398482i | ||||
\(507\) | 11.2981 | + | 19.4770i | 0.501768 | + | 0.865002i | ||||
\(508\) | −10.6930 | + | 18.5208i | −0.474426 | + | 0.821730i | ||||
\(509\) | −31.9977 | − | 18.4739i | −1.41827 | − | 0.818839i | −0.422124 | − | 0.906538i | \(-0.638715\pi\) |
−0.996147 | + | 0.0876987i | \(0.972049\pi\) | |||||||
\(510\) | −12.7293 | − | 12.5803i | −0.563662 | − | 0.557064i | ||||
\(511\) | 25.2814 | + | 9.70277i | 1.11838 | + | 0.429225i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 5.95747 | + | 5.75066i | 0.263029 | + | 0.253898i | ||||
\(514\) | 0.766166 | + | 1.32704i | 0.0337941 | + | 0.0585332i | ||||
\(515\) | 8.48219 | − | 14.6916i | 0.373770 | − | 0.647388i | ||||
\(516\) | −0.766004 | − | 2.79289i | −0.0337215 | − | 0.122950i | ||||
\(517\) | −3.99504 | + | 2.30654i | −0.175702 | + | 0.101441i | ||||
\(518\) | −7.02394 | − | 8.67272i | −0.308614 | − | 0.381057i | ||||
\(519\) | 3.48449 | + | 12.7046i | 0.152952 | + | 0.557672i | ||||
\(520\) | 5.20472 | − | 3.97785i | 0.228242 | − | 0.174440i | ||||
\(521\) | 9.03063 | − | 15.6415i | 0.395639 | − | 0.685267i | −0.597543 | − | 0.801837i | \(-0.703856\pi\) |
0.993183 | + | 0.116569i | \(0.0371898\pi\) | |||||||
\(522\) | −1.28017 | − | 2.15822i | −0.0560314 | − | 0.0944627i | ||||
\(523\) | 34.2864 | + | 19.7952i | 1.49924 | + | 0.865585i | 1.00000 | 0.000879658i | \(-0.000280004\pi\) | |
0.499238 | + | 0.866465i | \(0.333613\pi\) | |||||||
\(524\) | 7.44741 | − | 12.8993i | 0.325342 | − | 0.563508i | ||||
\(525\) | −0.767761 | + | 7.74806i | −0.0335078 | + | 0.338153i | ||||
\(526\) | 16.9520 | + | 9.78724i | 0.739142 | + | 0.426744i | ||||
\(527\) | 45.2132 | 1.96952 | ||||||||
\(528\) | −3.43719 | − | 0.899337i | −0.149585 | − | 0.0391386i | ||||
\(529\) | 26.6903 | + | 46.2289i | 1.16045 | + | 2.00995i | ||||
\(530\) | 0.521404 | − | 0.903098i | 0.0226483 | − | 0.0392281i | ||||
\(531\) | 3.21997 | − | 5.73198i | 0.139735 | − | 0.248747i | ||||
\(532\) | 3.27633 | − | 2.65347i | 0.142047 | − | 0.115042i | ||||
\(533\) | −1.31381 | + | 1.00412i | −0.0569076 | + | 0.0434932i | ||||
\(534\) | 4.75913 | + | 4.70342i | 0.205948 | + | 0.203537i | ||||
\(535\) | 19.4512 | 0.840948 | ||||||||
\(536\) | 5.15514i | 0.222668i | ||||||||
\(537\) | −30.7361 | + | 8.42997i | −1.32636 | + | 0.363780i | ||||
\(538\) | −13.5580 | −0.584527 | ||||||||
\(539\) | −13.6555 | + | 4.43888i | −0.588185 | + | 0.191196i | ||||
\(540\) | 2.60409 | + | 9.07439i | 0.112062 | + | 0.390499i | ||||
\(541\) | 21.7849 | − | 12.5775i | 0.936606 | − | 0.540750i | 0.0477116 | − | 0.998861i | \(-0.484807\pi\) |
0.888895 | + | 0.458111i | \(0.151474\pi\) | |||||||
\(542\) | −14.0278 | − | 24.2968i | −0.602545 | − | 1.04364i | ||||
\(543\) | −0.318770 | + | 0.0874288i | −0.0136797 | + | 0.00375193i | ||||
\(544\) | 2.84359 | − | 4.92524i | 0.121918 | − | 0.211168i | ||||
\(545\) | 9.02906 | 0.386762 | ||||||||
\(546\) | 0.499056 | + | 16.5152i | 0.0213576 | + | 0.706784i | ||||
\(547\) | 9.83208 | 0.420389 | 0.210195 | − | 0.977660i | \(-0.432590\pi\) | ||||
0.210195 | + | 0.977660i | \(0.432590\pi\) | |||||||
\(548\) | 5.80216 | − | 10.0496i | 0.247856 | − | 0.429299i | ||||
\(549\) | −10.5575 | − | 17.7988i | −0.450582 | − | 0.759632i | ||||
\(550\) | −1.74260 | − | 3.01827i | −0.0743046 | − | 0.128699i | ||||
\(551\) | −1.15432 | + | 0.666446i | −0.0491756 | + | 0.0283916i | ||||
\(552\) | −3.83170 | + | 14.6444i | −0.163088 | + | 0.623309i | ||||
\(553\) | −15.1545 | + | 12.2734i | −0.644433 | + | 0.521920i | ||||
\(554\) | 23.3285 | 0.991131 | ||||||||
\(555\) | −3.51103 | − | 12.8014i | −0.149035 | − | 0.543389i | ||||
\(556\) | 15.7682i | 0.668719i | ||||||||
\(557\) | −5.46504 | −0.231561 | −0.115781 | − | 0.993275i | \(-0.536937\pi\) | ||||
−0.115781 | + | 0.993275i | \(0.536937\pi\) | |||||||
\(558\) | −20.7938 | − | 11.6810i | −0.880270 | − | 0.494497i | ||||
\(559\) | 2.31774 | − | 5.56522i | 0.0980298 | − | 0.235384i | ||||
\(560\) | 4.74771 | − | 0.752275i | 0.200627 | − | 0.0317894i | ||||
\(561\) | −14.2034 | + | 14.3716i | −0.599668 | + | 0.606771i | ||||
\(562\) | −13.3151 | + | 23.0624i | −0.561663 | + | 0.972828i | ||||
\(563\) | 12.7679 | + | 22.1146i | 0.538101 | + | 0.932018i | 0.999006 | + | 0.0445687i | \(0.0141914\pi\) |
−0.460906 | + | 0.887449i | \(0.652475\pi\) | |||||||
\(564\) | −0.985981 | + | 3.76834i | −0.0415173 | + | 0.158676i | ||||
\(565\) | −30.3014 | −1.27479 | ||||||||
\(566\) | 23.3128 | + | 13.4597i | 0.979910 | + | 0.565752i | ||||
\(567\) | −22.4255 | − | 8.00610i | −0.941782 | − | 0.336225i | ||||
\(568\) | 4.24250 | − | 7.34823i | 0.178012 | − | 0.308325i | ||||
\(569\) | 14.3032 | + | 8.25797i | 0.599622 | + | 0.346192i | 0.768893 | − | 0.639378i | \(-0.220808\pi\) |
−0.169271 | + | 0.985570i | \(0.554141\pi\) | |||||||
\(570\) | 4.83603 | − | 1.32638i | 0.202559 | − | 0.0555558i | ||||
\(571\) | −1.84946 | + | 3.20337i | −0.0773977 | + | 0.134057i | −0.902126 | − | 0.431472i | \(-0.857994\pi\) |
0.824729 | + | 0.565529i | \(0.191328\pi\) | |||||||
\(572\) | −4.49108 | − | 5.87625i | −0.187781 | − | 0.245698i | ||||
\(573\) | 8.67989 | − | 2.38063i | 0.362608 | − | 0.0994522i | ||||
\(574\) | −1.19845 | + | 0.189895i | −0.0500225 | + | 0.00792606i | ||||
\(575\) | −12.8596 | + | 7.42449i | −0.536282 | + | 0.309623i | ||||
\(576\) | −2.58023 | + | 1.53049i | −0.107510 | + | 0.0637703i | ||||
\(577\) | 4.25571 | − | 7.37111i | 0.177168 | − | 0.306863i | −0.763742 | − | 0.645522i | \(-0.776640\pi\) |
0.940909 | + | 0.338659i | \(0.109973\pi\) | |||||||
\(578\) | −7.67197 | − | 13.2882i | −0.319112 | − | 0.552718i | ||||
\(579\) | 18.3941 | − | 5.04494i | 0.764432 | − | 0.209660i | ||||
\(580\) | −1.51969 | −0.0631019 | ||||||||
\(581\) | −39.3745 | + | 6.23889i | −1.63353 | + | 0.258833i | ||||
\(582\) | −4.19822 | + | 4.24795i | −0.174022 | + | 0.176083i | ||||
\(583\) | −1.01962 | − | 0.588677i | −0.0422283 | − | 0.0243805i | ||||
\(584\) | −5.11752 | + | 8.86381i | −0.211765 | + | 0.366787i | ||||
\(585\) | −7.34135 | + | 18.2295i | −0.303528 | + | 0.753699i | ||||
\(586\) | 6.97220 | − | 4.02540i | 0.288019 | − | 0.166288i | ||||
\(587\) | 5.89064 | − | 3.40096i | 0.243133 | − | 0.140373i | −0.373483 | − | 0.927637i | \(-0.621837\pi\) |
0.616616 | + | 0.787264i | \(0.288503\pi\) | |||||||
\(588\) | −5.43926 | + | 10.8358i | −0.224311 | + | 0.446861i | ||||
\(589\) | −6.33428 | + | 10.9713i | −0.260999 | + | 0.452064i | ||||
\(590\) | −1.99081 | − | 3.44819i | −0.0819604 | − | 0.141960i | ||||
\(591\) | 27.1100 | − | 27.4311i | 1.11516 | − | 1.12837i | ||||
\(592\) | 3.65306 | − | 2.10909i | 0.150140 | − | 0.0866832i | ||||
\(593\) | −6.06317 | + | 3.50057i | −0.248984 | + | 0.143751i | −0.619299 | − | 0.785155i | \(-0.712583\pi\) |
0.370315 | + | 0.928906i | \(0.379250\pi\) | |||||||
\(594\) | 10.2452 | − | 2.94008i | 0.420365 | − | 0.120633i | ||||
\(595\) | 9.79540 | − | 25.5228i | 0.401572 | − | 1.04633i | ||||
\(596\) | 2.40740 | + | 4.16974i | 0.0986111 | + | 0.170799i | ||||
\(597\) | −23.5232 | − | 23.2479i | −0.962742 | − | 0.951472i | ||||
\(598\) | −25.0362 | + | 19.1346i | −1.02381 | + | 0.782473i | ||||
\(599\) | 36.0831 | + | 20.8326i | 1.47432 | + | 0.851197i | 0.999581 | − | 0.0289321i | \(-0.00921067\pi\) |
0.474735 | + | 0.880129i | \(0.342544\pi\) | |||||||
\(600\) | −2.84699 | − | 0.744913i | −0.116228 | − | 0.0304109i | ||||
\(601\) | −1.93484 | + | 1.11708i | −0.0789239 | + | 0.0455668i | −0.538943 | − | 0.842342i | \(-0.681176\pi\) |
0.460019 | + | 0.887909i | \(0.347843\pi\) | |||||||
\(602\) | 3.43773 | − | 2.78418i | 0.140111 | − | 0.113475i | ||||
\(603\) | −7.88987 | − | 13.3015i | −0.321301 | − | 0.541677i | ||||
\(604\) | − | 1.42685i | − | 0.0580579i | ||||||
\(605\) | −10.6873 | + | 6.17031i | −0.434500 | + | 0.250859i | ||||
\(606\) | 16.2474 | + | 4.25111i | 0.660006 | + | 0.172690i | ||||
\(607\) | 0.676987i | 0.0274781i | 0.999906 | + | 0.0137390i | \(0.00437341\pi\) | ||||
−0.999906 | + | 0.0137390i | \(0.995627\pi\) | |||||||
\(608\) | 0.796762 | + | 1.38003i | 0.0323129 | + | 0.0559677i | ||||
\(609\) | 2.23452 | − | 3.11437i | 0.0905475 | − | 0.126201i | ||||
\(610\) | −12.5329 | −0.507441 | ||||||||
\(611\) | −6.44238 | + | 4.92376i | −0.260631 | + | 0.199194i | ||||
\(612\) | 0.200895 | + | 17.0603i | 0.00812071 | + | 0.689623i | ||||
\(613\) | − | 7.33142i | − | 0.296113i | −0.988979 | − | 0.148057i | \(-0.952698\pi\) | ||
0.988979 | − | 0.148057i | \(-0.0473018\pi\) | |||||||
\(614\) | 6.80970 | − | 11.7947i | 0.274817 | − | 0.475997i | ||||
\(615\) | −1.39623 | − | 0.365323i | −0.0563015 | − | 0.0147312i | ||||
\(616\) | −0.849335 | − | 5.36027i | −0.0342207 | − | 0.215972i | ||||
\(617\) | 22.6183 | − | 39.1761i | 0.910579 | − | 1.57717i | 0.0973311 | − | 0.995252i | \(-0.468969\pi\) |
0.813248 | − | 0.581917i | \(-0.197697\pi\) | |||||||
\(618\) | −15.5966 | + | 4.27766i | −0.627386 | + | 0.172073i | ||||
\(619\) | −5.37271 | + | 9.30581i | −0.215948 | + | 0.374032i | −0.953565 | − | 0.301186i | \(-0.902617\pi\) |
0.737618 | + | 0.675219i | \(0.235951\pi\) | |||||||
\(620\) | −12.5089 | + | 7.22202i | −0.502369 | + | 0.290043i | ||||
\(621\) | −12.5265 | − | 43.6505i | −0.502669 | − | 1.75163i | ||||
\(622\) | −12.6742 | − | 21.9523i | −0.508187 | − | 0.880206i | ||||
\(623\) | −3.66223 | + | 9.54227i | −0.146724 | + | 0.382303i | ||||
\(624\) | −6.19475 | − | 0.790580i | −0.247989 | − | 0.0316485i | ||||
\(625\) | 6.80901 | + | 11.7935i | 0.272360 | + | 0.471742i | ||||
\(626\) | − | 8.55974i | − | 0.342116i | ||||||
\(627\) | −1.49751 | − | 5.45999i | −0.0598047 | − | 0.218051i | ||||
\(628\) | − | 8.24857i | − | 0.329154i | ||||||
\(629\) | − | 23.9896i | − | 0.956527i | ||||||
\(630\) | −11.0989 | + | 9.20736i | −0.442189 | + | 0.366830i | ||||
\(631\) | 15.7277 | + | 9.08038i | 0.626109 | + | 0.361484i | 0.779244 | − | 0.626721i | \(-0.215603\pi\) |
−0.153135 | + | 0.988205i | \(0.548937\pi\) | |||||||
\(632\) | −3.68537 | − | 6.38325i | −0.146596 | − | 0.253912i | ||||
\(633\) | 19.0068 | − | 19.2319i | 0.755451 | − | 0.764399i | ||||
\(634\) | 23.5504 | 0.935305 | ||||||||
\(635\) | −33.6497 | − | 19.4276i | −1.33535 | − | 0.770962i | ||||
\(636\) | −0.958729 | + | 0.262950i | −0.0380161 | + | 0.0104266i | ||||
\(637\) | −22.7997 | + | 10.8247i | −0.903356 | + | 0.428891i | ||||
\(638\) | 1.71577i | 0.0679279i | ||||||||
\(639\) | 0.299727 | + | 25.4533i | 0.0118570 | + | 1.00692i | ||||
\(640\) | 1.81685i | 0.0718174i | ||||||||
\(641\) | 12.5354 | − | 7.23732i | 0.495119 | − | 0.285857i | −0.231577 | − | 0.972817i | \(-0.574388\pi\) |
0.726696 | + | 0.686960i | \(0.241055\pi\) | |||||||
\(642\) | −13.1891 | − | 13.0347i | −0.520531 | − | 0.514437i | ||||
\(643\) | −6.24408 | + | 10.8151i | −0.246243 | + | 0.426505i | −0.962480 | − | 0.271352i | \(-0.912529\pi\) |
0.716238 | + | 0.697856i | \(0.245863\pi\) | |||||||
\(644\) | −22.8379 | + | 3.61866i | −0.899939 | + | 0.142595i | ||||
\(645\) | 5.07427 | − | 1.39172i | 0.199799 | − | 0.0547988i | ||||
\(646\) | 9.06264 | 0.356565 | ||||||||
\(647\) | −32.2302 | −1.26710 | −0.633550 | − | 0.773702i | \(-0.718403\pi\) | ||||
−0.633550 | + | 0.773702i | \(0.718403\pi\) | |||||||
\(648\) | 4.31521 | − | 7.89803i | 0.169518 | − | 0.310264i | ||||
\(649\) | −3.89308 | + | 2.24767i | −0.152817 | + | 0.0882288i | ||||
\(650\) | −3.71992 | − | 4.86724i | −0.145907 | − | 0.190909i | ||||
\(651\) | 3.59244 | − | 36.2540i | 0.140799 | − | 1.42091i | ||||
\(652\) | −20.7420 | + | 11.9754i | −0.812319 | + | 0.468992i | ||||
\(653\) | 31.8138 | + | 18.3677i | 1.24497 | + | 0.718783i | 0.970102 | − | 0.242699i | \(-0.0780327\pi\) |
0.274868 | + | 0.961482i | \(0.411366\pi\) | |||||||
\(654\) | −6.12224 | − | 6.05057i | −0.239398 | − | 0.236596i | ||||
\(655\) | 23.4361 | + | 13.5309i | 0.915725 | + | 0.528694i | ||||
\(656\) | − | 0.458624i | − | 0.0179062i | ||||||
\(657\) | −0.361545 | − | 30.7030i | −0.0141052 | − | 1.19784i | ||||
\(658\) | −5.87669 | + | 0.931162i | −0.229097 | + | 0.0363005i | ||||
\(659\) | 39.7060 | + | 22.9243i | 1.54673 | + | 0.893003i | 0.998389 | + | 0.0567462i | \(0.0180726\pi\) |
0.548338 | + | 0.836257i | \(0.315261\pi\) | |||||||
\(660\) | 1.63396 | − | 6.24487i | 0.0636019 | − | 0.243081i | ||||
\(661\) | −15.0273 | −0.584496 | −0.292248 | − | 0.956343i | \(-0.594403\pi\) | ||||
−0.292248 | + | 0.956343i | \(0.594403\pi\) | |||||||
\(662\) | −6.15849 | − | 3.55561i | −0.239356 | − | 0.138193i | ||||
\(663\) | −21.5091 | + | 28.2626i | −0.835345 | + | 1.09763i | ||||
\(664\) | − | 15.0678i | − | 0.584745i | ||||||
\(665\) | 4.82096 | + | 5.95261i | 0.186949 | + | 0.230832i | ||||
\(666\) | −6.19780 | + | 11.0329i | −0.240160 | + | 0.427517i | ||||
\(667\) | 7.31018 | 0.283051 | ||||||||
\(668\) | 20.2949 | + | 11.7173i | 0.785234 | + | 0.453355i | ||||
\(669\) | −11.9684 | + | 12.1101i | −0.462724 | + | 0.468205i | ||||
\(670\) | −9.36613 | −0.361845 | ||||||||
\(671\) | 14.1499i | 0.546250i | ||||||||
\(672\) | −3.72335 | − | 2.67146i | −0.143631 | − | 0.103054i | ||||
\(673\) | −13.8713 | − | 24.0258i | −0.534700 | − | 0.926127i | −0.999178 | − | 0.0405428i | \(-0.987091\pi\) |
0.464478 | − | 0.885585i | \(-0.346242\pi\) | |||||||
\(674\) | −9.55933 | + | 16.5572i | −0.368211 | + | 0.637761i | ||||
\(675\) | 8.48599 | − | 2.43524i | 0.326626 | − | 0.0937324i | ||||
\(676\) | −9.15697 | − | 9.22767i | −0.352191 | − | 0.354910i | ||||
\(677\) | 0.275329 | + | 0.476883i | 0.0105817 | + | 0.0183281i | 0.871268 | − | 0.490808i | \(-0.163298\pi\) |
−0.860686 | + | 0.509136i | \(0.829965\pi\) | |||||||
\(678\) | 20.5461 | + | 20.3056i | 0.789069 | + | 0.779832i | ||||
\(679\) | −8.51732 | − | 3.26887i | −0.326865 | − | 0.125448i | ||||
\(680\) | 8.94843 | + | 5.16638i | 0.343157 | + | 0.198122i | ||||
\(681\) | −14.0102 | − | 13.8462i | −0.536872 | − | 0.530587i | ||||
\(682\) | 8.15382 | + | 14.1228i | 0.312226 | + | 0.540791i | ||||
\(683\) | 18.1878 | + | 31.5022i | 0.695938 | + | 1.20540i | 0.969864 | + | 0.243648i | \(0.0783443\pi\) |
−0.273926 | + | 0.961751i | \(0.588322\pi\) | |||||||
\(684\) | −4.16795 | − | 2.34137i | −0.159366 | − | 0.0895245i | ||||
\(685\) | 18.2587 | + | 10.5417i | 0.697629 | + | 0.402776i | ||||
\(686\) | −18.4951 | − | 0.965729i | −0.706145 | − | 0.0368717i | ||||
\(687\) | −23.1076 | + | 23.3813i | −0.881610 | + | 0.892053i | ||||
\(688\) | 0.836012 | + | 1.44802i | 0.0318727 | + | 0.0552051i | ||||
\(689\) | −1.91040 | − | 0.795621i | −0.0727805 | − | 0.0303107i | ||||
\(690\) | −26.6068 | − | 6.96164i | −1.01290 | − | 0.265025i | ||||
\(691\) | 16.1760 | − | 28.0176i | 0.615363 | − | 1.06584i | −0.374958 | − | 0.927042i | \(-0.622343\pi\) |
0.990321 | − | 0.138797i | \(-0.0443237\pi\) | |||||||
\(692\) | −3.80295 | − | 6.58691i | −0.144567 | − | 0.250397i | ||||
\(693\) | 10.3953 | + | 12.5309i | 0.394885 | + | 0.476008i | ||||
\(694\) | − | 23.0701i | − | 0.875728i | ||||||
\(695\) | −28.6484 | −1.08670 | ||||||||
\(696\) | 1.03044 | + | 1.01838i | 0.0390588 | + | 0.0386016i | ||||
\(697\) | −2.25883 | − | 1.30414i | −0.0855593 | − | 0.0493977i | ||||
\(698\) | 4.22719 | 0.160001 | ||||||||
\(699\) | −25.9335 | − | 25.6299i | −0.980895 | − | 0.969412i | ||||
\(700\) | −0.703496 | − | 4.43986i | −0.0265897 | − | 0.167811i | ||||
\(701\) | 13.2279i | 0.499612i | 0.968296 | + | 0.249806i | \(0.0803669\pi\) | ||||
−0.968296 | + | 0.249806i | \(0.919633\pi\) | |||||||
\(702\) | 17.1939 | − | 7.44111i | 0.648942 | − | 0.280847i | ||||
\(703\) | 5.82123 | + | 3.36089i | 0.219552 | + | 0.126758i | ||||
\(704\) | 2.05127 | 0.0773101 | ||||||||
\(705\) | −6.84652 | − | 1.79138i | −0.257855 | − | 0.0674674i | ||||
\(706\) | −27.6603 | − | 15.9697i | −1.04101 | − | 0.601028i | ||||
\(707\) | 4.01476 | + | 25.3377i | 0.150990 | + | 0.952922i | ||||
\(708\) | −0.960817 | + | 3.67216i | −0.0361097 | + | 0.138008i | ||||
\(709\) | 27.2697i | 1.02413i | 0.858946 | + | 0.512067i | \(0.171120\pi\) | ||||
−0.858946 | + | 0.512067i | \(0.828880\pi\) | |||||||
\(710\) | 13.3507 | + | 7.70801i | 0.501041 | + | 0.289276i | ||||
\(711\) | 19.2786 | + | 10.8299i | 0.723004 | + | 0.406152i | ||||
\(712\) | −3.34558 | − | 1.93157i | −0.125381 | − | 0.0723886i | ||||
\(713\) | 60.1715 | − | 34.7400i | 2.25344 | − | 1.30102i | ||||
\(714\) | −23.7452 | + | 10.7418i | −0.888643 | + | 0.402003i | ||||
\(715\) | 10.6763 | − | 8.15963i | 0.399270 | − | 0.305153i | ||||
\(716\) | 15.9356 | − | 9.20041i | 0.595541 | − | 0.343836i | ||||
\(717\) | 7.64552 | + | 27.8760i | 0.285527 | + | 1.04105i | ||||
\(718\) | 24.4992 | 0.914301 | ||||||||
\(719\) | −15.3808 | −0.573608 | −0.286804 | − | 0.957989i | \(-0.592593\pi\) | ||||
−0.286804 | + | 0.957989i | \(0.592593\pi\) | |||||||
\(720\) | −2.78067 | − | 4.68791i | −0.103629 | − | 0.174708i | ||||
\(721\) | −15.5480 | − | 19.1976i | −0.579036 | − | 0.714956i | ||||
\(722\) | 8.23034 | − | 14.2554i | 0.306302 | − | 0.530530i | ||||
\(723\) | −18.5971 | + | 18.8174i | −0.691633 | + | 0.699826i | ||||
\(724\) | 0.165271 | − | 0.0954192i | 0.00614225 | − | 0.00354623i | ||||
\(725\) | 1.42116i | 0.0527804i | ||||||||
\(726\) | 11.3815 | + | 2.97795i | 0.422406 | + | 0.110522i | ||||
\(727\) | 34.8309i | 1.29181i | 0.763420 | + | 0.645903i | \(0.223519\pi\) | ||||
−0.763420 | + | 0.645903i | \(0.776481\pi\) | |||||||
\(728\) | −2.69233 | − | 9.15158i | −0.0997843 | − | 0.339180i | ||||
\(729\) | 0.953579 | + | 26.9832i | 0.0353177 | + | 0.999376i | ||||
\(730\) | −16.1042 | − | 9.29779i | −0.596045 | − | 0.344127i | ||||
\(731\) | 9.50909 | 0.351706 | ||||||||
\(732\) | 8.49803 | + | 8.39855i | 0.314096 | + | 0.310419i | ||||
\(733\) | −9.43951 | − | 16.3497i | −0.348656 | − | 0.603890i | 0.637355 | − | 0.770570i | \(-0.280029\pi\) |
−0.986011 | + | 0.166680i | \(0.946695\pi\) | |||||||
\(734\) | 28.7618 | + | 16.6056i | 1.06162 | + | 0.612925i | ||||
\(735\) | −19.6870 | − | 9.88234i | −0.726168 | − | 0.364515i | ||||
\(736\) | − | 8.73960i | − | 0.322146i | ||||||
\(737\) | 10.5746i | 0.389519i | ||||||||
\(738\) | 0.701918 | + | 1.18336i | 0.0258379 | + | 0.0435599i | ||||
\(739\) | − | 7.95816i | − | 0.292746i | −0.989229 | − | 0.146373i | \(-0.953240\pi\) | ||
0.989229 | − | 0.146373i | \(-0.0467599\pi\) | |||||||
\(740\) | 3.83191 | + | 6.63707i | 0.140864 | + | 0.243984i | ||||
\(741\) | −3.84472 | − | 9.17886i | −0.141239 | − | 0.337194i | ||||
\(742\) | −0.955740 | − | 1.18009i | −0.0350863 | − | 0.0433223i | ||||
\(743\) | 9.17025 | + | 15.8833i | 0.336424 | + | 0.582703i | 0.983757 | − | 0.179504i | \(-0.0574492\pi\) |
−0.647334 | + | 0.762207i | \(0.724116\pi\) | |||||||
\(744\) | 13.3214 | + | 3.48553i | 0.488386 | + | 0.127786i | ||||
\(745\) | −7.57581 | + | 4.37390i | −0.277556 | + | 0.160247i | ||||
\(746\) | 2.06003 | − | 3.56807i | 0.0754230 | − | 0.130636i | ||||
\(747\) | 23.0611 | + | 38.8785i | 0.843762 | + | 1.42249i | ||||
\(748\) | 5.83296 | − | 10.1030i | 0.213274 | − | 0.369401i | ||||
\(749\) | 10.1492 | − | 26.4446i | 0.370844 | − | 0.966266i | ||||
\(750\) | 5.33621 | − | 20.3946i | 0.194851 | − | 0.744704i | ||||
\(751\) | 6.89641 | − | 11.9449i | 0.251654 | − | 0.435877i | −0.712328 | − | 0.701847i | \(-0.752359\pi\) |
0.963981 | + | 0.265970i | \(0.0856923\pi\) | |||||||
\(752\) | − | 2.24889i | − | 0.0820086i | ||||||
\(753\) | −16.4875 | − | 4.31393i | −0.600837 | − | 0.157208i | ||||
\(754\) | 0.387897 | + | 2.99079i | 0.0141264 | + | 0.108918i | ||||
\(755\) | 2.59238 | 0.0943465 | ||||||||
\(756\) | 13.6957 | + | 1.19445i | 0.498109 | + | 0.0434418i | ||||
\(757\) | 21.2683 | + | 36.8378i | 0.773010 | + | 1.33889i | 0.935906 | + | 0.352249i | \(0.114583\pi\) |
−0.162896 | + | 0.986643i | \(0.552084\pi\) | |||||||
\(758\) | − | 3.23318i | − | 0.117434i | ||||||
\(759\) | −7.85985 | + | 30.0397i | −0.285294 | + | 1.09037i | ||||
\(760\) | −2.50731 | + | 1.44760i | −0.0909498 | + | 0.0525099i | ||||
\(761\) | 32.3111i | 1.17128i | 0.810573 | + | 0.585638i | \(0.199156\pi\) | ||||
−0.810573 | + | 0.585638i | \(0.800844\pi\) | |||||||
\(762\) | 9.79758 | + | 35.7225i | 0.354929 | + | 1.29409i | ||||
\(763\) | 4.71117 | − | 12.2754i | 0.170556 | − | 0.444398i | ||||
\(764\) | −4.50022 | + | 2.59820i | −0.162812 | + | 0.0939997i | ||||
\(765\) | −30.9961 | + | 0.364997i | −1.12067 | + | 0.0131965i | ||||
\(766\) | −3.61672 | − | 2.08811i | −0.130677 | − | 0.0754465i | ||||
\(767\) | −6.27796 | + | 4.79810i | −0.226684 | + | 0.173249i | ||||
\(768\) | 1.21751 | − | 1.23193i | 0.0439332 | − | 0.0444536i | ||||
\(769\) | −6.20736 | − | 10.7515i | −0.223843 | − | 0.387707i | 0.732129 | − | 0.681166i | \(-0.238527\pi\) |
−0.955972 | + | 0.293459i | \(0.905194\pi\) | |||||||
\(770\) | 9.73883 | − | 1.54312i | 0.350963 | − | 0.0556101i | ||||
\(771\) | 2.56764 | + | 0.671821i | 0.0924714 | + | 0.0241950i | ||||
\(772\) | −9.53669 | + | 5.50601i | −0.343233 | + | 0.198166i | ||||
\(773\) | 10.8428 | − | 6.26007i | 0.389987 | − | 0.225159i | −0.292168 | − | 0.956367i | \(-0.594377\pi\) |
0.682154 | + | 0.731208i | \(0.261043\pi\) | |||||||
\(774\) | −4.37328 | − | 2.45671i | −0.157194 | − | 0.0883047i | ||||
\(775\) | 6.75373 | + | 11.6978i | 0.242601 | + | 0.420197i | ||||
\(776\) | 1.72410 | − | 2.98622i | 0.0618915 | − | 0.107199i | ||||
\(777\) | −19.2360 | − | 1.90611i | −0.690086 | − | 0.0683812i | ||||
\(778\) | −3.57665 | + | 2.06498i | −0.128229 | + | 0.0740331i | ||||
\(779\) | 0.632915 | − | 0.365414i | 0.0226765 | − | 0.0130923i | ||||
\(780\) | 1.43637 | − | 11.2550i | 0.0514302 | − | 0.402992i | ||||
\(781\) | 8.70251 | − | 15.0732i | 0.311400 | − | 0.539361i | ||||
\(782\) | −43.0446 | − | 24.8518i | −1.53927 | − | 0.888699i | ||||
\(783\) | −4.21740 | − | 1.05058i | −0.150718 | − | 0.0375447i | ||||
\(784\) | 1.45451 | − | 6.84722i | 0.0519467 | − | 0.244544i | ||||
\(785\) | 14.9864 | 0.534889 | ||||||||
\(786\) | −6.82376 | − | 24.8798i | −0.243396 | − | 0.887433i | ||||
\(787\) | 19.6903 | + | 34.1045i | 0.701882 | + | 1.21569i | 0.967805 | + | 0.251701i | \(0.0809898\pi\) |
−0.265924 | + | 0.963994i | \(0.585677\pi\) | |||||||
\(788\) | −11.1333 | + | 19.2835i | −0.396609 | + | 0.686947i | ||||
\(789\) | 32.6965 | − | 8.96765i | 1.16403 | − | 0.319257i | ||||
\(790\) | 11.5974 | − | 6.69578i | 0.412618 | − | 0.238225i | ||||
\(791\) | −15.8106 | + | 41.1959i | −0.562160 | + | 1.46476i | ||||
\(792\) | −5.29275 | + | 3.13944i | −0.188070 | + | 0.111555i | ||||
\(793\) | 3.19897 | + | 24.6649i | 0.113599 | + | 0.875877i | ||||
\(794\) | −2.38133 | + | 4.12458i | −0.0845101 | + | 0.146376i | ||||
\(795\) | −0.477742 | − | 1.74187i | −0.0169437 | − | 0.0617777i | ||||
\(796\) | 16.5364 | + | 9.54728i | 0.586116 | + | 0.338394i | ||||
\(797\) | −15.1983 | + | 26.3242i | −0.538350 | + | 0.932449i | 0.460643 | + | 0.887585i | \(0.347619\pi\) |
−0.998993 | + | 0.0448640i | \(0.985715\pi\) | |||||||
\(798\) | 0.720078 | − | 7.26685i | 0.0254905 | − | 0.257244i | ||||
\(799\) | −11.0763 | − | 6.39492i | −0.391852 | − | 0.226236i | ||||
\(800\) | 1.69905 | 0.0600703 | ||||||||
\(801\) | 11.5886 | − | 0.136462i | 0.409463 | − | 0.00482166i | ||||
\(802\) | −7.74045 | − | 13.4069i | −0.273325 | − | 0.473413i | ||||
\(803\) | −10.4974 | + | 18.1820i | −0.370446 | + | 0.641631i | ||||
\(804\) | 6.35079 | + | 6.27645i | 0.223975 | + | 0.221353i | ||||
\(805\) | −6.57458 | − | 41.4931i | −0.231723 | − | 1.46244i | ||||
\(806\) | 17.4059 | + | 22.7744i | 0.613098 | + | 0.802193i | ||||
\(807\) | −16.5071 | + | 16.7026i | −0.581076 | + | 0.587959i | ||||
\(808\) | −9.69622 | −0.341112 | ||||||||
\(809\) | − | 16.3178i | − | 0.573702i | −0.957975 | − | 0.286851i | \(-0.907391\pi\) | ||
0.957975 | − | 0.286851i | \(-0.0926085\pi\) | |||||||
\(810\) | 14.3496 | + | 7.84011i | 0.504192 | + | 0.275473i | ||||
\(811\) | 5.92788 | 0.208156 | 0.104078 | − | 0.994569i | \(-0.466811\pi\) | ||||
0.104078 | + | 0.994569i | \(0.466811\pi\) | |||||||
\(812\) | −0.792944 | + | 2.06608i | −0.0278269 | + | 0.0725053i | ||||
\(813\) | −47.0111 | − | 12.3004i | −1.64875 | − | 0.431394i | ||||
\(814\) | 7.49340 | − | 4.32632i | 0.262644 | − | 0.151637i | ||||
\(815\) | −21.7575 | − | 37.6851i | −0.762133 | − | 1.32005i | ||||
\(816\) | −2.60546 | − | 9.49965i | −0.0912095 | − | 0.332554i | ||||
\(817\) | −1.33220 | + | 2.30745i | −0.0466079 | + | 0.0807273i | ||||
\(818\) | 39.7884 | 1.39117 | ||||||||
\(819\) | 20.9532 | + | 19.4926i | 0.732165 | + | 0.681128i | ||||
\(820\) | 0.833252 | 0.0290984 | ||||||||
\(821\) | 16.6292 | − | 28.8027i | 0.580364 | − | 1.00522i | −0.415072 | − | 0.909789i | \(-0.636244\pi\) |
0.995436 | − | 0.0954314i | \(-0.0304231\pi\) | |||||||
\(822\) | −5.31628 | − | 19.3834i | −0.185427 | − | 0.676075i | ||||
\(823\) | −1.58413 | − | 2.74379i | −0.0552193 | − | 0.0956427i | 0.837094 | − | 0.547058i | \(-0.184252\pi\) |
−0.892314 | + | 0.451416i | \(0.850919\pi\) | |||||||
\(824\) | 8.08628 | − | 4.66861i | 0.281699 | − | 0.162639i | ||||
\(825\) | −5.83995 | − | 1.52801i | −0.203321 | − | 0.0531987i | ||||
\(826\) | −5.72671 | + | 0.907397i | −0.199258 | + | 0.0315724i | ||||
\(827\) | 24.0773 | 0.837250 | 0.418625 | − | 0.908159i | \(-0.362512\pi\) | ||||
0.418625 | + | 0.908159i | \(0.362512\pi\) | |||||||
\(828\) | 13.3758 | + | 22.5502i | 0.464843 | + | 0.783674i | ||||
\(829\) | 34.9812i | 1.21495i | 0.794340 | + | 0.607474i | \(0.207817\pi\) | ||||
−0.794340 | + | 0.607474i | \(0.792183\pi\) | |||||||
\(830\) | 27.3760 | 0.950236 | ||||||||
\(831\) | 28.4027 | − | 28.7391i | 0.985279 | − | 0.996949i | ||||
\(832\) | 3.57560 | − | 0.463745i | 0.123962 | − | 0.0160775i | ||||
\(833\) | −29.5882 | − | 26.6345i | −1.02517 | − | 0.922829i | ||||
\(834\) | 19.4253 | + | 19.1979i | 0.672644 | + | 0.664770i | ||||
\(835\) | −21.2886 | + | 36.8729i | −0.736722 | + | 1.27604i | ||||
\(836\) | 1.63437 | + | 2.83081i | 0.0565259 | + | 0.0979057i | ||||
\(837\) | −39.7069 | + | 11.3948i | −1.37247 | + | 0.393861i | ||||
\(838\) | 26.2292 | 0.906073 | ||||||||
\(839\) | −1.10165 | − | 0.636039i | −0.0380332 | − | 0.0219585i | 0.480863 | − | 0.876796i | \(-0.340324\pi\) |
−0.518896 | + | 0.854837i | \(0.673657\pi\) | |||||||
\(840\) | 4.85365 | − | 6.76477i | 0.167467 | − | 0.233407i | ||||
\(841\) | −14.1502 | + | 24.5088i | −0.487937 | + | 0.845132i | ||||
\(842\) | −12.1540 | − | 7.01714i | −0.418856 | − | 0.241827i | ||||
\(843\) | 12.2001 | + | 44.4821i | 0.420193 | + | 1.53204i | ||||
\(844\) | −7.80557 | + | 13.5196i | −0.268679 | + | 0.465365i | ||||
\(845\) | 16.7653 | − | 16.6369i | 0.576744 | − | 0.572326i | ||||
\(846\) | 3.44190 | + | 5.80266i | 0.118335 | + | 0.199500i | ||||
\(847\) | 2.81238 | + | 17.7493i | 0.0966344 | + | 0.609874i | ||||
\(848\) | 0.497067 | − | 0.286982i | 0.0170694 | − | 0.00985500i | ||||
\(849\) | 44.9651 | − | 12.3325i | 1.54320 | − | 0.423252i | ||||
\(850\) | 4.83138 | − | 8.36820i | 0.165715 | − | 0.287027i | ||||
\(851\) | −18.4326 | − | 31.9263i | −0.631863 | − | 1.09442i | ||||
\(852\) | −3.88724 | − | 14.1731i | −0.133175 | − | 0.485561i | ||||
\(853\) | 8.88125 | 0.304088 | 0.152044 | − | 0.988374i | \(-0.451414\pi\) | ||||
0.152044 | + | 0.988374i | \(0.451414\pi\) | |||||||
\(854\) | −6.53938 | + | 17.0389i | −0.223773 | + | 0.583060i | ||||
\(855\) | 4.25393 | − | 7.57256i | 0.145481 | − | 0.258976i | ||||
\(856\) | 9.27165 | + | 5.35299i | 0.316898 | + | 0.182961i | ||||
\(857\) | 14.1680 | − | 24.5397i | 0.483969 | − | 0.838259i | −0.515861 | − | 0.856672i | \(-0.672528\pi\) |
0.999830 | + | 0.0184131i | \(0.00586142\pi\) | |||||||
\(858\) | −12.7071 | − | 1.62169i | −0.433813 | − | 0.0553636i | ||||
\(859\) | 15.6163 | − | 9.01607i | 0.532821 | − | 0.307624i | −0.209343 | − | 0.977842i | \(-0.567133\pi\) |
0.742164 | + | 0.670218i | \(0.233799\pi\) | |||||||
\(860\) | −2.63083 | + | 1.51891i | −0.0897106 | + | 0.0517944i | ||||
\(861\) | −1.22519 | + | 1.70761i | −0.0417545 | + | 0.0581953i | ||||
\(862\) | 8.06272 | − | 13.9650i | 0.274617 | − | 0.475651i | ||||
\(863\) | 20.8330 | + | 36.0838i | 0.709163 | + | 1.22831i | 0.965168 | + | 0.261631i | \(0.0842603\pi\) |
−0.256005 | + | 0.966675i | \(0.582406\pi\) | |||||||
\(864\) | −1.25601 | + | 5.04207i | −0.0427303 | + | 0.171535i | ||||
\(865\) | 11.9674 | − | 6.90941i | 0.406905 | − | 0.234927i | ||||
\(866\) | −13.9038 | + | 8.02734i | −0.472469 | + | 0.272780i | ||||
\(867\) | −25.7110 | − | 6.72725i | −0.873191 | − | 0.228469i | ||||
\(868\) | 3.29174 | + | 20.7746i | 0.111729 | + | 0.705137i | ||||
\(869\) | −7.55968 | − | 13.0938i | −0.256445 | − | 0.444175i | ||||
\(870\) | −1.85025 | + | 1.87216i | −0.0627293 | + | 0.0634723i | ||||
\(871\) | 2.39067 | + | 18.4327i | 0.0810048 | + | 0.624569i | ||||
\(872\) | 4.30381 | + | 2.48481i | 0.145745 | + | 0.0841462i | ||||
\(873\) | 0.121805 | + | 10.3439i | 0.00412247 | + | 0.350087i | ||||
\(874\) | 12.0609 | − | 6.96338i | 0.407967 | − | 0.235540i | ||||
\(875\) | 31.8051 | − | 5.03952i | 1.07521 | − | 0.170367i | ||||
\(876\) | 4.68898 | + | 17.0963i | 0.158426 | + | 0.577629i | ||||
\(877\) | − | 37.0013i | − | 1.24944i | −0.780847 | − | 0.624722i | \(-0.785212\pi\) | ||
0.780847 | − | 0.624722i | \(-0.214788\pi\) | |||||||
\(878\) | −14.0100 | + | 8.08869i | −0.472816 | + | 0.272980i | ||||
\(879\) | 3.52972 | − | 13.4903i | 0.119054 | − | 0.455016i | ||||
\(880\) | 3.72685i | 0.125632i | ||||||||
\(881\) | 12.5417 | + | 21.7228i | 0.422540 | + | 0.731861i | 0.996187 | − | 0.0872416i | \(-0.0278052\pi\) |
−0.573647 | + | 0.819103i | \(0.694472\pi\) | |||||||
\(882\) | 6.72662 | + | 19.8935i | 0.226497 | + | 0.669850i | ||||
\(883\) | 23.5431 | 0.792287 | 0.396144 | − | 0.918189i | \(-0.370348\pi\) | ||||
0.396144 | + | 0.918189i | \(0.370348\pi\) | |||||||
\(884\) | 7.88348 | − | 18.9294i | 0.265150 | − | 0.636664i | ||||
\(885\) | −6.67178 | − | 1.74566i | −0.224269 | − | 0.0586798i | ||||
\(886\) | 12.5394i | 0.421270i | ||||||||
\(887\) | 14.7227 | − | 25.5005i | 0.494341 | − | 0.856224i | −0.505638 | − | 0.862746i | \(-0.668743\pi\) |
0.999979 | + | 0.00652219i | \(0.00207609\pi\) | |||||||
\(888\) | 1.84938 | − | 7.06818i | 0.0620611 | − | 0.237193i | ||||
\(889\) | −43.9703 | + | 35.6111i | −1.47472 | + | 1.19436i | ||||
\(890\) | 3.50938 | − | 6.07842i | 0.117635 | − | 0.203749i | ||||
\(891\) | 8.85166 | − | 16.2010i | 0.296542 | − | 0.542753i | ||||
\(892\) | 4.91509 | − | 8.51319i | 0.164569 | − | 0.285043i | ||||
\(893\) | 3.10354 | − | 1.79183i | 0.103856 | − | 0.0599613i | ||||
\(894\) | 8.06790 | + | 2.11096i | 0.269831 | + | 0.0706009i | ||||
\(895\) | 16.7158 | + | 28.9526i | 0.558748 | + | 0.967779i | ||||
\(896\) | 2.47008 | + | 0.947995i | 0.0825197 | + | 0.0316703i | ||||
\(897\) | −6.90935 | + | 54.1397i | −0.230697 | + | 1.80767i | ||||
\(898\) | −8.48307 | − | 14.6931i | −0.283084 | − | 0.490315i | ||||
\(899\) | − | 6.64975i | − | 0.221781i | ||||||
\(900\) | −4.38393 | + | 2.60037i | −0.146131 | + | 0.0866789i | ||||
\(901\) | − | 3.26423i | − | 0.108747i | ||||||
\(902\) | − | 0.940760i | − | 0.0313239i | ||||||
\(903\) | 0.755550 | − | 7.62483i | 0.0251431 | − | 0.253739i | ||||
\(904\) | −14.4435 | − | 8.33897i | −0.480384 | − | 0.277350i | ||||
\(905\) | 0.173363 | + | 0.300273i | 0.00576277 | + | 0.00998141i | ||||
\(906\) | −1.75779 | − | 1.73721i | −0.0583987 | − | 0.0577151i | ||||
\(907\) | 13.8539 | 0.460013 | 0.230006 | − | 0.973189i | \(-0.426125\pi\) | ||||
0.230006 | + | 0.973189i | \(0.426125\pi\) | |||||||
\(908\) | 9.84889 | + | 5.68626i | 0.326847 | + | 0.188705i | ||||
\(909\) | 25.0185 | − | 14.8399i | 0.829812 | − | 0.492210i | ||||
\(910\) | 16.6271 | − | 4.89157i | 0.551182 | − | 0.162154i | ||||
\(911\) | 27.4426i | 0.909213i | 0.890692 | + | 0.454607i | \(0.150220\pi\) | ||||
−0.890692 | + | 0.454607i | \(0.849780\pi\) | |||||||
\(912\) | 2.67018 | + | 0.698648i | 0.0884184 | + | 0.0231346i | ||||
\(913\) | − | 30.9081i | − | 1.02291i | ||||||
\(914\) | 8.20508 | − | 4.73720i | 0.271400 | − | 0.156693i | ||||
\(915\) | −15.2589 | + | 15.4397i | −0.504444 | + | 0.510420i | ||||
\(916\) | 9.48968 | − | 16.4366i | 0.313548 | − | 0.543081i | ||||
\(917\) | 30.6242 | − | 24.8022i | 1.01130 | − | 0.819041i | ||||
\(918\) | 21.2618 | + | 20.5237i | 0.701744 | + | 0.677383i | ||||
\(919\) | −44.0687 | −1.45369 | −0.726845 | − | 0.686801i | \(-0.759014\pi\) | ||||
−0.726845 | + | 0.686801i | \(0.759014\pi\) | |||||||
\(920\) | 15.8786 | 0.523501 | ||||||||
\(921\) | −6.23945 | − | 22.7494i | −0.205597 | − | 0.749617i | ||||
\(922\) | −31.5250 | + | 18.2010i | −1.03822 | + | 0.599417i | ||||
\(923\) | 11.7618 | − | 28.2418i | 0.387144 | − | 0.929590i | ||||
\(924\) | −7.63758 | − | 5.47988i | −0.251258 | − | 0.180275i | ||||
\(925\) | 6.20671 | − | 3.58345i | 0.204075 | − | 0.117823i | ||||
\(926\) | 15.4600 | + | 8.92584i | 0.508047 | + | 0.293321i | ||||
\(927\) | −13.7192 | + | 24.4221i | −0.450599 | + | 0.802126i | ||||
\(928\) | −0.724381 | − | 0.418222i | −0.0237790 | − | 0.0137288i | ||||
\(929\) | − | 41.9005i | − | 1.37471i | −0.726321 | − | 0.687356i | \(-0.758771\pi\) | ||
0.726321 | − | 0.687356i | \(-0.241229\pi\) | |||||||
\(930\) | −6.33270 | + | 24.2030i | −0.207657 | + | 0.793649i | ||||
\(931\) | 10.6083 | − | 3.44834i | 0.347672 | − | 0.113015i | ||||
\(932\) | 18.2307 | + | 10.5255i | 0.597167 | + | 0.344775i | ||||
\(933\) | −42.4747 | − | 11.1135i | −1.39056 | − | 0.363838i | ||||
\(934\) | 30.3856 | 0.994248 | ||||||||
\(935\) | 18.3556 | + | 10.5976i | 0.600293 | + | 0.346579i | ||||
\(936\) | −8.51614 | + | 6.66899i | −0.278359 | + | 0.217983i | ||||
\(937\) | − | 1.71598i | − | 0.0560586i | −0.999607 | − | 0.0280293i | \(-0.991077\pi\) | ||
0.999607 | − | 0.0280293i | \(-0.00892317\pi\) | |||||||
\(938\) | −4.88704 | + | 12.7336i | −0.159568 | + | 0.415767i | ||||
\(939\) | −10.5450 | − | 10.4216i | −0.344124 | − | 0.340096i | ||||
\(940\) | 4.08590 | 0.133267 | ||||||||
\(941\) | −1.26611 | − | 0.730989i | −0.0412740 | − | 0.0238296i | 0.479221 | − | 0.877694i | \(-0.340919\pi\) |
−0.520495 | + | 0.853865i | \(0.674253\pi\) | |||||||
\(942\) | −10.1617 | − | 10.0427i | −0.331086 | − | 0.327210i | ||||
\(943\) | −4.00819 | −0.130524 | ||||||||
\(944\) | − | 2.19150i | − | 0.0713271i | ||||||
\(945\) | −2.17014 | + | 24.8831i | −0.0705948 | + | 0.809449i | ||||
\(946\) | 1.71488 | + | 2.97027i | 0.0557557 | + | 0.0965717i | ||||
\(947\) | 7.63402 | − | 13.2225i | 0.248072 | − | 0.429674i | −0.714919 | − | 0.699208i | \(-0.753536\pi\) |
0.962991 | + | 0.269534i | \(0.0868696\pi\) | |||||||
\(948\) | −12.3507 | − | 3.23156i | −0.401133 | − | 0.104956i | ||||
\(949\) | −14.1877 | + | 34.0667i | −0.460552 | + | 1.10585i | ||||
\(950\) | 1.35373 | + | 2.34474i | 0.0439209 | + | 0.0760733i | ||||
\(951\) | 28.6729 | − | 29.0125i | 0.929782 | − | 0.940795i | ||||
\(952\) | 11.6930 | − | 9.47004i | 0.378972 | − | 0.306926i | ||||
\(953\) | 20.0074 | + | 11.5513i | 0.648104 | + | 0.374183i | 0.787729 | − | 0.616021i | \(-0.211257\pi\) |
−0.139625 | + | 0.990204i | \(0.544590\pi\) | |||||||
\(954\) | −0.843328 | + | 1.50124i | −0.0273037 | + | 0.0486043i | ||||
\(955\) | −4.72055 | − | 8.17624i | −0.152754 | − | 0.264577i | ||||
\(956\) | −8.34427 | − | 14.4527i | −0.269873 | − | 0.467434i | ||||
\(957\) | 2.11371 | + | 2.08897i | 0.0683267 | + | 0.0675268i | ||||
\(958\) | 19.9492 | + | 11.5177i | 0.644530 | + | 0.372120i | ||||
\(959\) | 23.8588 | − | 19.3230i | 0.770441 | − | 0.623972i | ||||
\(960\) | 2.23824 | + | 2.21204i | 0.0722390 | + | 0.0713933i | ||||
\(961\) | −16.1015 | − | 27.8886i | −0.519402 | − | 0.899631i | ||||
\(962\) | 12.0838 | − | 9.23537i | 0.389598 | − | 0.297760i | ||||
\(963\) | −32.1157 | + | 0.378181i | −1.03491 | + | 0.0121867i | ||||
\(964\) | 7.63733 | − | 13.2282i | 0.245982 | − | 0.426053i | ||||
\(965\) | −10.0036 | − | 17.3268i | −0.322028 | − | 0.557768i | ||||
\(966\) | −23.3475 | + | 32.5405i | −0.751193 | + | 1.04697i | ||||
\(967\) | − | 14.3674i | − | 0.462026i | −0.972951 | − | 0.231013i | \(-0.925796\pi\) | ||
0.972951 | − | 0.231013i | \(-0.0742040\pi\) | |||||||
\(968\) | −6.79230 | −0.218313 | ||||||||
\(969\) | 11.0339 | − | 11.1646i | 0.354459 | − | 0.358658i | ||||
\(970\) | 5.42553 | + | 3.13243i | 0.174203 | + | 0.100576i | ||||
\(971\) | 31.3969 | 1.00758 | 0.503788 | − | 0.863827i | \(-0.331939\pi\) | ||||
0.503788 | + | 0.863827i | \(0.331939\pi\) | |||||||
\(972\) | −4.47603 | − | 14.9320i | −0.143569 | − | 0.478945i | ||||
\(973\) | −14.9481 | + | 38.9486i | −0.479215 | + | 1.24864i | ||||
\(974\) | − | 14.2075i | − | 0.455238i | ||||||
\(975\) | −10.5252 | − | 1.34323i | −0.337075 | − | 0.0430178i | ||||
\(976\) | −5.97394 | − | 3.44906i | −0.191221 | − | 0.110402i | ||||
\(977\) | −43.7552 | −1.39985 | −0.699926 | − | 0.714215i | \(-0.746784\pi\) | ||||
−0.699926 | + | 0.714215i | \(0.746784\pi\) | |||||||
\(978\) | −10.5007 | + | 40.1330i | −0.335777 | + | 1.28331i | ||||
\(979\) | −6.86267 | − | 3.96217i | −0.219332 | − | 0.126631i | ||||
\(980\) | 12.4404 | + | 2.64262i | 0.397394 | + | 0.0844155i | ||||
\(981\) | −14.9078 | + | 0.175548i | −0.475970 | + | 0.00560481i | ||||
\(982\) | 2.85309i | 0.0910457i | ||||||||
\(983\) | −3.21594 | − | 1.85672i | −0.102572 | − | 0.0592202i | 0.447836 | − | 0.894116i | \(-0.352195\pi\) |
−0.550409 | + | 0.834895i | \(0.685528\pi\) | |||||||
\(984\) | −0.564994 | − | 0.558380i | −0.0180114 | − | 0.0178005i | ||||
\(985\) | −35.0353 | − | 20.2277i | −1.11632 | − | 0.644507i | ||||
\(986\) | −4.11968 | + | 2.37850i | −0.131197 | + | 0.0757469i | ||||
\(987\) | −6.00782 | + | 8.37340i | −0.191231 | + | 0.266528i | ||||
\(988\) | 3.48889 | + | 4.56495i | 0.110996 | + | 0.145230i | ||||
\(989\) | 12.6551 | − | 7.30641i | 0.402408 | − | 0.232330i | ||||
\(990\) | −5.70390 | − | 9.61615i | −0.181282 | − | 0.305621i | ||||
\(991\) | −42.0533 | −1.33587 | −0.667934 | − | 0.744221i | \(-0.732821\pi\) | ||||
−0.667934 | + | 0.744221i | \(0.732821\pi\) | |||||||
\(992\) | −7.95003 | −0.252414 | ||||||||
\(993\) | −11.8783 | + | 3.25786i | −0.376947 | + | 0.103385i | ||||
\(994\) | 17.4454 | − | 14.1289i | 0.553335 | − | 0.448140i | ||||
\(995\) | −17.3460 | + | 30.0442i | −0.549905 | + | 0.952464i | ||||
\(996\) | −18.5626 | − | 18.3453i | −0.588178 | − | 0.581292i | ||||
\(997\) | 39.1056 | − | 22.5776i | 1.23849 | − | 0.715041i | 0.269702 | − | 0.962944i | \(-0.413075\pi\) |
0.968785 | + | 0.247903i | \(0.0797414\pi\) | |||||||
\(998\) | 18.4429i | 0.583800i | ||||||||
\(999\) | 6.04592 | + | 21.0680i | 0.191285 | + | 0.666562i |
(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.bn.e.101.10 | yes | 34 | |
3.2 | odd | 2 | 546.2.bn.f.101.8 | yes | 34 | ||
7.5 | odd | 6 | 546.2.bi.f.257.15 | yes | 34 | ||
13.4 | even | 6 | 546.2.bi.e.17.14 | ✓ | 34 | ||
21.5 | even | 6 | 546.2.bi.e.257.14 | yes | 34 | ||
39.17 | odd | 6 | 546.2.bi.f.17.15 | yes | 34 | ||
91.82 | odd | 6 | 546.2.bn.f.173.8 | yes | 34 | ||
273.173 | even | 6 | inner | 546.2.bn.e.173.10 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bi.e.17.14 | ✓ | 34 | 13.4 | even | 6 | ||
546.2.bi.e.257.14 | yes | 34 | 21.5 | even | 6 | ||
546.2.bi.f.17.15 | yes | 34 | 39.17 | odd | 6 | ||
546.2.bi.f.257.15 | yes | 34 | 7.5 | odd | 6 | ||
546.2.bn.e.101.10 | yes | 34 | 1.1 | even | 1 | trivial | |
546.2.bn.e.173.10 | yes | 34 | 273.173 | even | 6 | inner | |
546.2.bn.f.101.8 | yes | 34 | 3.2 | odd | 2 | ||
546.2.bn.f.173.8 | yes | 34 | 91.82 | odd | 6 |