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 | 101.9 | ||
Character | \(\chi\) | \(=\) | 546.101 |
Dual form | 546.2.bn.e.173.9 |
$q$-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 | ||||
\(3\) | 0.428009 | − | 1.67834i | 0.247111 | − | 0.968987i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 1.58996 | − | 0.917964i | 0.711052 | − | 0.410526i | −0.100398 | − | 0.994947i | \(-0.532012\pi\) |
0.811450 | + | 0.584421i | \(0.198678\pi\) | |||||||
\(6\) | 1.23948 | + | 1.20983i | 0.506014 | + | 0.493913i | ||||
\(7\) | 2.08732 | − | 1.62576i | 0.788933 | − | 0.614479i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −2.63362 | − | 1.43668i | −0.877872 | − | 0.478895i | ||||
\(10\) | 1.83593i | 0.580572i | ||||||||
\(11\) | 3.39249 | 1.02287 | 0.511437 | − | 0.859321i | \(-0.329113\pi\) | ||||
0.511437 | + | 0.859321i | \(0.329113\pi\) | |||||||
\(12\) | −1.66749 | + | 0.468501i | −0.481361 | + | 0.135245i | ||||
\(13\) | −3.07128 | − | 1.88872i | −0.851820 | − | 0.523835i | ||||
\(14\) | 0.364289 | + | 2.62055i | 0.0973602 | + | 0.700372i | ||||
\(15\) | −0.860135 | − | 3.06138i | −0.222086 | − | 0.790446i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1.59253 | + | 2.75834i | 0.386245 | + | 0.668996i | 0.991941 | − | 0.126700i | \(-0.0404385\pi\) |
−0.605696 | + | 0.795696i | \(0.707105\pi\) | |||||||
\(18\) | 2.56101 | − | 1.56244i | 0.603637 | − | 0.368270i | ||||
\(19\) | −2.03164 | −0.466090 | −0.233045 | − | 0.972466i | \(-0.574869\pi\) | ||||
−0.233045 | + | 0.972466i | \(0.574869\pi\) | |||||||
\(20\) | −1.58996 | − | 0.917964i | −0.355526 | − | 0.205263i | ||||
\(21\) | −1.83518 | − | 4.19906i | −0.400469 | − | 0.916310i | ||||
\(22\) | −1.69625 | + | 2.93798i | −0.361641 | + | 0.626380i | ||||
\(23\) | −2.14393 | − | 1.23780i | −0.447041 | − | 0.258099i | 0.259539 | − | 0.965733i | \(-0.416430\pi\) |
−0.706580 | + | 0.707633i | \(0.749763\pi\) | |||||||
\(24\) | 0.428009 | − | 1.67834i | 0.0873669 | − | 0.342589i | ||||
\(25\) | −0.814684 | + | 1.41107i | −0.162937 | + | 0.282215i | ||||
\(26\) | 3.17131 | − | 1.71545i | 0.621946 | − | 0.336427i | ||||
\(27\) | −3.53845 | + | 3.80518i | −0.680975 | + | 0.732307i | ||||
\(28\) | −2.45161 | − | 0.994793i | −0.463311 | − | 0.187998i | ||||
\(29\) | 1.81857 | − | 1.04995i | 0.337701 | − | 0.194971i | −0.321554 | − | 0.946891i | \(-0.604205\pi\) |
0.659255 | + | 0.751920i | \(0.270872\pi\) | |||||||
\(30\) | 3.08130 | + | 0.785793i | 0.562566 | + | 0.143466i | ||||
\(31\) | 3.14345 | − | 5.44461i | 0.564580 | − | 0.977881i | −0.432509 | − | 0.901630i | \(-0.642371\pi\) |
0.997089 | − | 0.0762515i | \(-0.0242952\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 1.45202 | − | 5.69374i | 0.252763 | − | 0.991152i | ||||
\(34\) | −3.18506 | −0.546233 | ||||||||
\(35\) | 1.82637 | − | 4.50098i | 0.308713 | − | 0.760804i | ||||
\(36\) | 0.0726040 | + | 2.99912i | 0.0121007 | + | 0.499854i | ||||
\(37\) | −0.436402 | − | 0.251957i | −0.0717440 | − | 0.0414214i | 0.463699 | − | 0.885993i | \(-0.346522\pi\) |
−0.535443 | + | 0.844571i | \(0.679855\pi\) | |||||||
\(38\) | 1.01582 | − | 1.75945i | 0.164788 | − | 0.285421i | ||||
\(39\) | −4.48443 | + | 4.34625i | −0.718084 | + | 0.695957i | ||||
\(40\) | 1.58996 | − | 0.917964i | 0.251395 | − | 0.145143i | ||||
\(41\) | −4.35184 | + | 2.51254i | −0.679643 | + | 0.392392i | −0.799721 | − | 0.600372i | \(-0.795019\pi\) |
0.120077 | + | 0.992765i | \(0.461686\pi\) | |||||||
\(42\) | 4.55408 | + | 0.510221i | 0.702710 | + | 0.0787287i | ||||
\(43\) | 0.528972 | − | 0.916206i | 0.0806674 | − | 0.139720i | −0.822869 | − | 0.568231i | \(-0.807628\pi\) |
0.903537 | + | 0.428511i | \(0.140962\pi\) | |||||||
\(44\) | −1.69625 | − | 2.93798i | −0.255719 | − | 0.442918i | ||||
\(45\) | −5.50617 | + | 0.133296i | −0.820812 | + | 0.0198705i | ||||
\(46\) | 2.14393 | − | 1.23780i | 0.316106 | − | 0.182504i | ||||
\(47\) | 10.0977 | − | 5.82991i | 1.47290 | − | 0.850380i | 0.473367 | − | 0.880865i | \(-0.343038\pi\) |
0.999535 | + | 0.0304848i | \(0.00970512\pi\) | |||||||
\(48\) | 1.23948 | + | 1.20983i | 0.178903 | + | 0.174624i | ||||
\(49\) | 1.71381 | − | 6.78696i | 0.244830 | − | 0.969566i | ||||
\(50\) | −0.814684 | − | 1.41107i | −0.115214 | − | 0.199556i | ||||
\(51\) | 5.31104 | − | 1.49220i | 0.743694 | − | 0.208950i | ||||
\(52\) | −0.100036 | + | 3.60416i | −0.0138724 | + | 0.499808i | ||||
\(53\) | 5.81668 | + | 3.35826i | 0.798983 | + | 0.461293i | 0.843115 | − | 0.537733i | \(-0.180719\pi\) |
−0.0441326 | + | 0.999026i | \(0.514052\pi\) | |||||||
\(54\) | −1.52616 | − | 4.96698i | −0.207684 | − | 0.675920i | ||||
\(55\) | 5.39393 | − | 3.11418i | 0.727317 | − | 0.419917i | ||||
\(56\) | 2.08732 | − | 1.62576i | 0.278930 | − | 0.217251i | ||||
\(57\) | −0.869560 | + | 3.40977i | −0.115176 | + | 0.451636i | ||||
\(58\) | 2.09991i | 0.275731i | ||||||||
\(59\) | −5.37709 | + | 3.10446i | −0.700037 | + | 0.404167i | −0.807361 | − | 0.590057i | \(-0.799105\pi\) |
0.107324 | + | 0.994224i | \(0.465772\pi\) | |||||||
\(60\) | −2.22117 | + | 2.27559i | −0.286752 | + | 0.293777i | ||||
\(61\) | − | 11.6806i | − | 1.49554i | −0.663957 | − | 0.747771i | \(-0.731124\pi\) | ||
0.663957 | − | 0.747771i | \(-0.268876\pi\) | |||||||
\(62\) | 3.14345 | + | 5.44461i | 0.399218 | + | 0.691467i | ||||
\(63\) | −7.83291 | + | 1.28281i | −0.986853 | + | 0.161619i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −6.61699 | − | 0.183658i | −0.820736 | − | 0.0227800i | ||||
\(66\) | 4.20491 | + | 4.10435i | 0.517589 | + | 0.505211i | ||||
\(67\) | 9.92794i | 1.21289i | 0.795125 | + | 0.606445i | \(0.207405\pi\) | ||||
−0.795125 | + | 0.606445i | \(0.792595\pi\) | |||||||
\(68\) | 1.59253 | − | 2.75834i | 0.193123 | − | 0.334498i | ||||
\(69\) | −2.99507 | + | 3.06845i | −0.360564 | + | 0.369398i | ||||
\(70\) | 2.98478 | + | 3.83217i | 0.356749 | + | 0.458032i | ||||
\(71\) | −7.77030 | + | 13.4586i | −0.922165 | + | 1.59724i | −0.126108 | + | 0.992017i | \(0.540248\pi\) |
−0.796058 | + | 0.605221i | \(0.793085\pi\) | |||||||
\(72\) | −2.63362 | − | 1.43668i | −0.310375 | − | 0.169315i | ||||
\(73\) | 4.47574 | − | 7.75221i | 0.523846 | − | 0.907327i | −0.475769 | − | 0.879570i | \(-0.657830\pi\) |
0.999615 | − | 0.0277570i | \(-0.00883647\pi\) | |||||||
\(74\) | 0.436402 | − | 0.251957i | 0.0507307 | − | 0.0292894i | ||||
\(75\) | 2.01956 | + | 1.97126i | 0.233199 | + | 0.227622i | ||||
\(76\) | 1.01582 | + | 1.75945i | 0.116523 | + | 0.201823i | ||||
\(77\) | 7.08122 | − | 5.51537i | 0.806979 | − | 0.628535i | ||||
\(78\) | −1.52175 | − | 6.05676i | −0.172304 | − | 0.685793i | ||||
\(79\) | 3.92399 | + | 6.79656i | 0.441484 | + | 0.764672i | 0.997800 | − | 0.0662985i | \(-0.0211189\pi\) |
−0.556316 | + | 0.830971i | \(0.687786\pi\) | |||||||
\(80\) | 1.83593i | 0.205263i | ||||||||
\(81\) | 4.87188 | + | 7.56735i | 0.541320 | + | 0.840817i | ||||
\(82\) | − | 5.02507i | − | 0.554926i | ||||||
\(83\) | 13.0790i | 1.43561i | 0.696246 | + | 0.717803i | \(0.254852\pi\) | ||||
−0.696246 | + | 0.717803i | \(0.745148\pi\) | |||||||
\(84\) | −2.71891 | + | 3.68884i | −0.296657 | + | 0.402486i | ||||
\(85\) | 5.06412 | + | 2.92377i | 0.549281 | + | 0.317127i | ||||
\(86\) | 0.528972 | + | 0.916206i | 0.0570405 | + | 0.0987970i | ||||
\(87\) | −0.983809 | − | 3.50156i | −0.105475 | − | 0.375407i | ||||
\(88\) | 3.39249 | 0.361641 | ||||||||
\(89\) | 4.61906 | + | 2.66681i | 0.489619 | + | 0.282682i | 0.724416 | − | 0.689363i | \(-0.242109\pi\) |
−0.234797 | + | 0.972044i | \(0.575443\pi\) | |||||||
\(90\) | 2.63765 | − | 4.83513i | 0.278033 | − | 0.509668i | ||||
\(91\) | −9.48134 | + | 1.05081i | −0.993914 | + | 0.110155i | ||||
\(92\) | 2.47560i | 0.258099i | ||||||||
\(93\) | −7.79246 | − | 7.60610i | −0.808041 | − | 0.788716i | ||||
\(94\) | 11.6598i | 1.20262i | ||||||||
\(95\) | −3.23023 | + | 1.86497i | −0.331414 | + | 0.191342i | ||||
\(96\) | −1.66749 | + | 0.468501i | −0.170187 | + | 0.0478162i | ||||
\(97\) | 4.79907 | − | 8.31223i | 0.487272 | − | 0.843979i | −0.512621 | − | 0.858615i | \(-0.671326\pi\) |
0.999893 | + | 0.0146357i | \(0.00465887\pi\) | |||||||
\(98\) | 5.02077 | + | 4.87769i | 0.507175 | + | 0.492721i | ||||
\(99\) | −8.93452 | − | 4.87394i | −0.897953 | − | 0.489849i | ||||
\(100\) | 1.62937 | 0.162937 | ||||||||
\(101\) | 9.39069 | 0.934409 | 0.467204 | − | 0.884149i | \(-0.345261\pi\) | ||||
0.467204 | + | 0.884149i | \(0.345261\pi\) | |||||||
\(102\) | −1.36323 | + | 5.34560i | −0.134980 | + | 0.529293i | ||||
\(103\) | −11.5646 | + | 6.67680i | −1.13949 | + | 0.657884i | −0.946304 | − | 0.323278i | \(-0.895215\pi\) |
−0.193185 | + | 0.981162i | \(0.561882\pi\) | |||||||
\(104\) | −3.07128 | − | 1.88872i | −0.301164 | − | 0.185204i | ||||
\(105\) | −6.77245 | − | 4.99172i | −0.660923 | − | 0.487142i | ||||
\(106\) | −5.81668 | + | 3.35826i | −0.564966 | + | 0.326183i | ||||
\(107\) | 11.5796 | + | 6.68547i | 1.11944 | + | 0.646309i | 0.941258 | − | 0.337689i | \(-0.109645\pi\) |
0.178182 | + | 0.983998i | \(0.442978\pi\) | |||||||
\(108\) | 5.06461 | + | 1.16180i | 0.487342 | + | 0.111794i | ||||
\(109\) | −3.82963 | − | 2.21104i | −0.366812 | − | 0.211779i | 0.305253 | − | 0.952271i | \(-0.401259\pi\) |
−0.672065 | + | 0.740492i | \(0.734592\pi\) | |||||||
\(110\) | 6.22837i | 0.593852i | ||||||||
\(111\) | −0.609651 | + | 0.624589i | −0.0578655 | + | 0.0592833i | ||||
\(112\) | 0.364289 | + | 2.62055i | 0.0344220 | + | 0.247619i | ||||
\(113\) | −13.8390 | − | 7.98994i | −1.30186 | − | 0.751631i | −0.321139 | − | 0.947032i | \(-0.604066\pi\) |
−0.980723 | + | 0.195402i | \(0.937399\pi\) | |||||||
\(114\) | −2.51817 | − | 2.45795i | −0.235848 | − | 0.230208i | ||||
\(115\) | −4.54503 | −0.423826 | ||||||||
\(116\) | −1.81857 | − | 1.04995i | −0.168850 | − | 0.0974857i | ||||
\(117\) | 5.37509 | + | 9.38661i | 0.496927 | + | 0.867792i | ||||
\(118\) | − | 6.20893i | − | 0.571578i | ||||||
\(119\) | 7.80852 | + | 3.16847i | 0.715806 | + | 0.290454i | ||||
\(120\) | −0.860135 | − | 3.06138i | −0.0785192 | − | 0.279465i | ||||
\(121\) | 0.508993 | 0.0462721 | ||||||||
\(122\) | 10.1157 | + | 5.84028i | 0.915829 | + | 0.528754i | ||||
\(123\) | 2.35425 | + | 8.37923i | 0.212276 | + | 0.755530i | ||||
\(124\) | −6.28690 | −0.564580 | ||||||||
\(125\) | 12.1710i | 1.08861i | ||||||||
\(126\) | 2.80551 | − | 7.42490i | 0.249935 | − | 0.661463i | ||||
\(127\) | −0.475986 | − | 0.824432i | −0.0422370 | − | 0.0731566i | 0.844134 | − | 0.536132i | \(-0.180115\pi\) |
−0.886371 | + | 0.462976i | \(0.846782\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −1.31130 | − | 1.27994i | −0.115453 | − | 0.112692i | ||||
\(130\) | 3.46755 | − | 5.63865i | 0.304124 | − | 0.494542i | ||||
\(131\) | 4.95760 | + | 8.58681i | 0.433147 | + | 0.750233i | 0.997142 | − | 0.0755449i | \(-0.0240696\pi\) |
−0.563995 | + | 0.825778i | \(0.690736\pi\) | |||||||
\(132\) | −5.65693 | + | 1.58939i | −0.492372 | + | 0.138338i | ||||
\(133\) | −4.24069 | + | 3.30296i | −0.367714 | + | 0.286403i | ||||
\(134\) | −8.59785 | − | 4.96397i | −0.742741 | − | 0.428822i | ||||
\(135\) | −2.13297 | + | 9.29825i | −0.183577 | + | 0.800266i | ||||
\(136\) | 1.59253 | + | 2.75834i | 0.136558 | + | 0.236526i | ||||
\(137\) | −1.59153 | − | 2.75662i | −0.135974 | − | 0.235514i | 0.789995 | − | 0.613113i | \(-0.210083\pi\) |
−0.925969 | + | 0.377599i | \(0.876750\pi\) | |||||||
\(138\) | −1.15982 | − | 4.12803i | −0.0987306 | − | 0.351401i | ||||
\(139\) | −0.0981681 | − | 0.0566774i | −0.00832651 | − | 0.00480731i | 0.495831 | − | 0.868419i | \(-0.334864\pi\) |
−0.504157 | + | 0.863612i | \(0.668197\pi\) | |||||||
\(140\) | −4.81115 | + | 0.668808i | −0.406616 | + | 0.0565246i | ||||
\(141\) | −5.46264 | − | 19.4426i | −0.460038 | − | 1.63736i | ||||
\(142\) | −7.77030 | − | 13.4586i | −0.652069 | − | 1.12942i | ||||
\(143\) | −10.4193 | − | 6.40745i | −0.871304 | − | 0.535818i | ||||
\(144\) | 2.56101 | − | 1.56244i | 0.213418 | − | 0.130203i | ||||
\(145\) | 1.92764 | − | 3.33877i | 0.160082 | − | 0.277270i | ||||
\(146\) | 4.47574 | + | 7.75221i | 0.370415 | + | 0.641577i | ||||
\(147\) | −10.6573 | − | 5.78123i | −0.878997 | − | 0.476828i | ||||
\(148\) | 0.503913i | 0.0414214i | ||||||||
\(149\) | −21.7126 | −1.77876 | −0.889382 | − | 0.457165i | \(-0.848865\pi\) | ||||
−0.889382 | + | 0.457165i | \(0.848865\pi\) | |||||||
\(150\) | −2.71695 | + | 0.763361i | −0.221838 | + | 0.0623281i | ||||
\(151\) | 4.69698 | + | 2.71180i | 0.382235 | + | 0.220684i | 0.678790 | − | 0.734332i | \(-0.262505\pi\) |
−0.296555 | + | 0.955016i | \(0.595838\pi\) | |||||||
\(152\) | −2.03164 | −0.164788 | ||||||||
\(153\) | −0.231248 | − | 9.55238i | −0.0186953 | − | 0.772264i | ||||
\(154\) | 1.23585 | + | 8.89020i | 0.0995873 | + | 0.716393i | ||||
\(155\) | − | 11.5423i | − | 0.927099i | ||||||
\(156\) | 6.00618 | + | 1.71051i | 0.480879 | + | 0.136950i | ||||
\(157\) | 18.4221 | + | 10.6360i | 1.47025 | + | 0.848848i | 0.999442 | − | 0.0333895i | \(-0.0106302\pi\) |
0.470805 | + | 0.882237i | \(0.343964\pi\) | |||||||
\(158\) | −7.84799 | −0.624352 | ||||||||
\(159\) | 8.12588 | − | 8.32498i | 0.644424 | − | 0.660214i | ||||
\(160\) | −1.58996 | − | 0.917964i | −0.125697 | − | 0.0725714i | ||||
\(161\) | −6.48744 | + | 0.901834i | −0.511282 | + | 0.0710744i | ||||
\(162\) | −8.98946 | + | 0.435496i | −0.706278 | + | 0.0342158i | ||||
\(163\) | 10.0187i | 0.784728i | 0.919810 | + | 0.392364i | \(0.128343\pi\) | ||||
−0.919810 | + | 0.392364i | \(0.871657\pi\) | |||||||
\(164\) | 4.35184 | + | 2.51254i | 0.339822 | + | 0.196196i | ||||
\(165\) | −2.91800 | − | 10.3857i | −0.227166 | − | 0.808527i | ||||
\(166\) | −11.3267 | − | 6.53950i | −0.879126 | − | 0.507564i | ||||
\(167\) | −3.11618 | + | 1.79913i | −0.241137 | + | 0.139221i | −0.615699 | − | 0.787981i | \(-0.711126\pi\) |
0.374562 | + | 0.927202i | \(0.377793\pi\) | |||||||
\(168\) | −1.83518 | − | 4.19906i | −0.141587 | − | 0.323965i | ||||
\(169\) | 5.86551 | + | 11.6015i | 0.451193 | + | 0.892426i | ||||
\(170\) | −5.06412 | + | 2.92377i | −0.388400 | + | 0.224243i | ||||
\(171\) | 5.35056 | + | 2.91883i | 0.409168 | + | 0.223208i | ||||
\(172\) | −1.05794 | −0.0806674 | ||||||||
\(173\) | −0.953613 | −0.0725019 | −0.0362509 | − | 0.999343i | \(-0.511542\pi\) | ||||
−0.0362509 | + | 0.999343i | \(0.511542\pi\) | |||||||
\(174\) | 3.52435 | + | 0.898778i | 0.267180 | + | 0.0681362i | ||||
\(175\) | 0.593560 | + | 4.26984i | 0.0448689 | + | 0.322770i | ||||
\(176\) | −1.69625 | + | 2.93798i | −0.127859 | + | 0.221459i | ||||
\(177\) | 2.90889 | + | 10.3533i | 0.218645 | + | 0.778201i | ||||
\(178\) | −4.61906 | + | 2.66681i | −0.346213 | + | 0.199886i | ||||
\(179\) | − | 17.7581i | − | 1.32730i | −0.748043 | − | 0.663650i | \(-0.769006\pi\) | ||
0.748043 | − | 0.663650i | \(-0.230994\pi\) | |||||||
\(180\) | 2.86852 | + | 4.70184i | 0.213807 | + | 0.350454i | ||||
\(181\) | 5.51564i | 0.409975i | 0.978765 | + | 0.204987i | \(0.0657153\pi\) | ||||
−0.978765 | + | 0.204987i | \(0.934285\pi\) | |||||||
\(182\) | 3.83064 | − | 8.73648i | 0.283946 | − | 0.647591i | ||||
\(183\) | −19.6039 | − | 4.99938i | −1.44916 | − | 0.369565i | ||||
\(184\) | −2.14393 | − | 1.23780i | −0.158053 | − | 0.0912519i | ||||
\(185\) | −0.925149 | −0.0680183 | ||||||||
\(186\) | 10.4833 | − | 2.94542i | 0.768673 | − | 0.215969i | ||||
\(187\) | 5.40264 | + | 9.35765i | 0.395080 | + | 0.684299i | ||||
\(188\) | −10.0977 | − | 5.82991i | −0.736451 | − | 0.425190i | ||||
\(189\) | −1.19957 | + | 13.6953i | −0.0872558 | + | 0.996186i | ||||
\(190\) | − | 3.72995i | − | 0.270599i | ||||||
\(191\) | 20.1785i | 1.46007i | 0.683411 | + | 0.730034i | \(0.260496\pi\) | ||||
−0.683411 | + | 0.730034i | \(0.739504\pi\) | |||||||
\(192\) | 0.428009 | − | 1.67834i | 0.0308889 | − | 0.121123i | ||||
\(193\) | − | 4.54274i | − | 0.326994i | −0.986544 | − | 0.163497i | \(-0.947723\pi\) | ||
0.986544 | − | 0.163497i | \(-0.0522774\pi\) | |||||||
\(194\) | 4.79907 | + | 8.31223i | 0.344553 | + | 0.596783i | ||||
\(195\) | −3.14037 | + | 11.0269i | −0.224886 | + | 0.789654i | ||||
\(196\) | −6.73459 | + | 1.90927i | −0.481042 | + | 0.136377i | ||||
\(197\) | 5.74363 | + | 9.94826i | 0.409217 | + | 0.708784i | 0.994802 | − | 0.101826i | \(-0.0324687\pi\) |
−0.585585 | + | 0.810611i | \(0.699135\pi\) | |||||||
\(198\) | 8.68821 | − | 5.30055i | 0.617444 | − | 0.376694i | ||||
\(199\) | 5.94498 | − | 3.43234i | 0.421429 | − | 0.243312i | −0.274260 | − | 0.961656i | \(-0.588433\pi\) |
0.695688 | + | 0.718344i | \(0.255099\pi\) | |||||||
\(200\) | −0.814684 | + | 1.41107i | −0.0576068 | + | 0.0997780i | ||||
\(201\) | 16.6624 | + | 4.24924i | 1.17528 | + | 0.299718i | ||||
\(202\) | −4.69535 | + | 8.13258i | −0.330363 | + | 0.572206i | ||||
\(203\) | 2.08897 | − | 5.14815i | 0.146617 | − | 0.361329i | ||||
\(204\) | −3.94781 | − | 3.85339i | −0.276402 | − | 0.269791i | ||||
\(205\) | −4.61284 | + | 7.98966i | −0.322174 | + | 0.558022i | ||||
\(206\) | − | 13.3536i | − | 0.930389i | ||||||
\(207\) | 3.86797 | + | 6.34005i | 0.268843 | + | 0.440664i | ||||
\(208\) | 3.17131 | − | 1.71545i | 0.219891 | − | 0.118945i | ||||
\(209\) | −6.89232 | −0.476752 | ||||||||
\(210\) | 7.70918 | − | 3.36925i | 0.531984 | − | 0.232501i | ||||
\(211\) | −2.63957 | − | 4.57187i | −0.181715 | − | 0.314740i | 0.760749 | − | 0.649046i | \(-0.224832\pi\) |
−0.942465 | + | 0.334305i | \(0.891498\pi\) | |||||||
\(212\) | − | 6.71653i | − | 0.461293i | ||||||
\(213\) | 19.2622 | + | 18.8016i | 1.31983 | + | 1.28826i | ||||
\(214\) | −11.5796 | + | 6.68547i | −0.791563 | + | 0.457009i | ||||
\(215\) | − | 1.94231i | − | 0.132464i | ||||||
\(216\) | −3.53845 | + | 3.80518i | −0.240761 | + | 0.258910i | ||||
\(217\) | −2.29025 | − | 16.4751i | −0.155472 | − | 1.11841i | ||||
\(218\) | 3.82963 | − | 2.21104i | 0.259375 | − | 0.149750i | ||||
\(219\) | −11.0951 | − | 10.8298i | −0.749741 | − | 0.731810i | ||||
\(220\) | −5.39393 | − | 3.11418i | −0.363658 | − | 0.209958i | ||||
\(221\) | 0.318619 | − | 11.4795i | 0.0214327 | − | 0.772193i | ||||
\(222\) | −0.236084 | − | 0.840268i | −0.0158449 | − | 0.0563951i | ||||
\(223\) | 14.2982 | + | 24.7653i | 0.957481 | + | 1.65841i | 0.728585 | + | 0.684955i | \(0.240178\pi\) |
0.228896 | + | 0.973451i | \(0.426488\pi\) | |||||||
\(224\) | −2.45161 | − | 0.994793i | −0.163805 | − | 0.0664674i | ||||
\(225\) | 4.17283 | − | 2.54578i | 0.278189 | − | 0.169719i | ||||
\(226\) | 13.8390 | − | 7.98994i | 0.920556 | − | 0.531483i | ||||
\(227\) | 5.20466 | − | 3.00491i | 0.345446 | − | 0.199443i | −0.317232 | − | 0.948348i | \(-0.602753\pi\) |
0.662677 | + | 0.748905i | \(0.269420\pi\) | |||||||
\(228\) | 3.38773 | − | 0.951826i | 0.224358 | − | 0.0630362i | ||||
\(229\) | 7.02836 | + | 12.1735i | 0.464447 | + | 0.804446i | 0.999176 | − | 0.0405773i | \(-0.0129197\pi\) |
−0.534729 | + | 0.845023i | \(0.679586\pi\) | |||||||
\(230\) | 2.27251 | − | 3.93611i | 0.149845 | − | 0.259539i | ||||
\(231\) | −6.22582 | − | 14.2453i | −0.409629 | − | 0.937271i | ||||
\(232\) | 1.81857 | − | 1.04995i | 0.119395 | − | 0.0689328i | ||||
\(233\) | 24.0450 | − | 13.8824i | 1.57524 | − | 0.909465i | 0.579729 | − | 0.814809i | \(-0.303158\pi\) |
0.995510 | − | 0.0946555i | \(-0.0301750\pi\) | |||||||
\(234\) | −10.8166 | − | 0.0383424i | −0.707102 | − | 0.00250652i | ||||
\(235\) | 10.7033 | − | 18.5387i | 0.698207 | − | 1.20933i | ||||
\(236\) | 5.37709 | + | 3.10446i | 0.350019 | + | 0.202083i | ||||
\(237\) | 13.0864 | − | 3.67679i | 0.850053 | − | 0.238833i | ||||
\(238\) | −6.64824 | + | 5.17814i | −0.430941 | + | 0.335649i | ||||
\(239\) | 5.31347 | 0.343700 | 0.171850 | − | 0.985123i | \(-0.445026\pi\) | ||||
0.171850 | + | 0.985123i | \(0.445026\pi\) | |||||||
\(240\) | 3.08130 | + | 0.785793i | 0.198897 | + | 0.0507227i | ||||
\(241\) | −9.62885 | − | 16.6777i | −0.620249 | − | 1.07430i | −0.989439 | − | 0.144949i | \(-0.953698\pi\) |
0.369190 | − | 0.929354i | \(-0.379635\pi\) | |||||||
\(242\) | −0.254496 | + | 0.440801i | −0.0163596 | + | 0.0283357i | ||||
\(243\) | 14.7858 | − | 4.93775i | 0.948507 | − | 0.316757i | ||||
\(244\) | −10.1157 | + | 5.84028i | −0.647589 | + | 0.373885i | ||||
\(245\) | −3.50529 | − | 12.3642i | −0.223945 | − | 0.789921i | ||||
\(246\) | −8.43375 | − | 2.15077i | −0.537716 | − | 0.137128i | ||||
\(247\) | 6.23974 | + | 3.83719i | 0.397025 | + | 0.244155i | ||||
\(248\) | 3.14345 | − | 5.44461i | 0.199609 | − | 0.345733i | ||||
\(249\) | 21.9509 | + | 5.59792i | 1.39108 | + | 0.354754i | ||||
\(250\) | −10.5404 | − | 6.08552i | −0.666635 | − | 0.384882i | ||||
\(251\) | 4.75595 | − | 8.23755i | 0.300193 | − | 0.519950i | −0.675986 | − | 0.736914i | \(-0.736282\pi\) |
0.976180 | + | 0.216964i | \(0.0696156\pi\) | |||||||
\(252\) | 5.02740 | + | 6.14209i | 0.316696 | + | 0.386915i | ||||
\(253\) | −7.27328 | − | 4.19923i | −0.457267 | − | 0.264003i | ||||
\(254\) | 0.951973 | 0.0597321 | ||||||||
\(255\) | 7.07455 | − | 7.24789i | 0.443026 | − | 0.453880i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −2.63187 | + | 4.55853i | −0.164171 | + | 0.284353i | −0.936361 | − | 0.351039i | \(-0.885828\pi\) |
0.772189 | + | 0.635392i | \(0.219162\pi\) | |||||||
\(258\) | 1.76410 | − | 0.495648i | 0.109828 | − | 0.0308577i | ||||
\(259\) | −1.32053 | + | 0.183570i | −0.0820538 | + | 0.0114065i | ||||
\(260\) | 3.14944 | + | 5.82231i | 0.195320 | + | 0.361084i | ||||
\(261\) | −6.29788 | + | 0.152462i | −0.389829 | + | 0.00943714i | ||||
\(262\) | −9.91520 | −0.612563 | ||||||||
\(263\) | − | 10.8500i | − | 0.669042i | −0.942388 | − | 0.334521i | \(-0.891425\pi\) | ||
0.942388 | − | 0.334521i | \(-0.108575\pi\) | |||||||
\(264\) | 1.45202 | − | 5.69374i | 0.0893654 | − | 0.350425i | ||||
\(265\) | 12.3311 | 0.757491 | ||||||||
\(266\) | −0.740104 | − | 5.32402i | −0.0453787 | − | 0.326437i | ||||
\(267\) | 6.45280 | − | 6.61091i | 0.394905 | − | 0.404581i | ||||
\(268\) | 8.59785 | − | 4.96397i | 0.525197 | − | 0.303223i | ||||
\(269\) | −9.05587 | − | 15.6852i | −0.552146 | − | 0.956346i | −0.998119 | − | 0.0612993i | \(-0.980476\pi\) |
0.445973 | − | 0.895046i | \(-0.352858\pi\) | |||||||
\(270\) | −6.98604 | − | 6.49634i | −0.425157 | − | 0.395354i | ||||
\(271\) | 4.33664 | − | 7.51129i | 0.263432 | − | 0.456278i | −0.703719 | − | 0.710478i | \(-0.748479\pi\) |
0.967152 | + | 0.254200i | \(0.0818121\pi\) | |||||||
\(272\) | −3.18506 | −0.193123 | ||||||||
\(273\) | −2.29449 | + | 16.3626i | −0.138869 | + | 0.990311i | ||||
\(274\) | 3.18307 | 0.192296 | ||||||||
\(275\) | −2.76381 | + | 4.78705i | −0.166664 | + | 0.288670i | ||||
\(276\) | 4.15489 | + | 1.05958i | 0.250095 | + | 0.0637792i | ||||
\(277\) | 9.14175 | + | 15.8340i | 0.549275 | + | 0.951372i | 0.998324 | + | 0.0578650i | \(0.0184293\pi\) |
−0.449050 | + | 0.893507i | \(0.648237\pi\) | |||||||
\(278\) | 0.0981681 | − | 0.0566774i | 0.00588773 | − | 0.00339928i | ||||
\(279\) | −16.1008 | + | 9.82288i | −0.963931 | + | 0.588081i | ||||
\(280\) | 1.82637 | − | 4.50098i | 0.109146 | − | 0.268985i | ||||
\(281\) | −2.73779 | −0.163323 | −0.0816614 | − | 0.996660i | \(-0.526023\pi\) | ||||
−0.0816614 | + | 0.996660i | \(0.526023\pi\) | |||||||
\(282\) | 19.5691 | + | 4.99051i | 1.16532 | + | 0.297180i | ||||
\(283\) | 5.31213i | 0.315773i | 0.987457 | + | 0.157887i | \(0.0504681\pi\) | ||||
−0.987457 | + | 0.157887i | \(0.949532\pi\) | |||||||
\(284\) | 15.5406 | 0.922165 | ||||||||
\(285\) | 1.74748 | + | 6.21963i | 0.103512 | + | 0.368419i | ||||
\(286\) | 10.7587 | − | 5.81964i | 0.636173 | − | 0.344123i | ||||
\(287\) | −4.99890 | + | 12.3195i | −0.295076 | + | 0.727198i | ||||
\(288\) | 0.0726040 | + | 2.99912i | 0.00427823 | + | 0.176725i | ||||
\(289\) | 3.42770 | − | 5.93695i | 0.201629 | − | 0.349232i | ||||
\(290\) | 1.92764 | + | 3.33877i | 0.113195 | + | 0.196059i | ||||
\(291\) | −11.8967 | − | 11.6122i | −0.697395 | − | 0.680716i | ||||
\(292\) | −8.95148 | −0.523846 | ||||||||
\(293\) | 2.86877 | + | 1.65628i | 0.167595 | + | 0.0967612i | 0.581451 | − | 0.813581i | \(-0.302485\pi\) |
−0.413856 | + | 0.910342i | \(0.635818\pi\) | |||||||
\(294\) | 10.3353 | − | 6.33885i | 0.602769 | − | 0.369689i | ||||
\(295\) | −5.69957 | + | 9.87195i | −0.331842 | + | 0.574767i | ||||
\(296\) | −0.436402 | − | 0.251957i | −0.0253653 | − | 0.0146447i | ||||
\(297\) | −12.0042 | + | 12.9090i | −0.696551 | + | 0.749058i | ||||
\(298\) | 10.8563 | − | 18.8036i | 0.628888 | − | 1.08927i | ||||
\(299\) | 4.24677 | + | 7.85091i | 0.245597 | + | 0.454030i | ||||
\(300\) | 0.697383 | − | 2.73462i | 0.0402634 | − | 0.157884i | ||||
\(301\) | −0.385397 | − | 2.77240i | −0.0222139 | − | 0.159798i | ||||
\(302\) | −4.69698 | + | 2.71180i | −0.270281 | + | 0.156047i | ||||
\(303\) | 4.01930 | − | 15.7607i | 0.230903 | − | 0.905430i | ||||
\(304\) | 1.01582 | − | 1.75945i | 0.0582613 | − | 0.100912i | ||||
\(305\) | −10.7223 | − | 18.5716i | −0.613959 | − | 1.06341i | ||||
\(306\) | 8.38823 | + | 4.57592i | 0.479523 | + | 0.261588i | ||||
\(307\) | −23.8813 | −1.36298 | −0.681490 | − | 0.731827i | \(-0.738668\pi\) | ||||
−0.681490 | + | 0.731827i | \(0.738668\pi\) | |||||||
\(308\) | −8.31706 | − | 3.37483i | −0.473909 | − | 0.192299i | ||||
\(309\) | 6.25617 | + | 22.2669i | 0.355901 | + | 1.26672i | ||||
\(310\) | 9.99592 | + | 5.77115i | 0.567730 | + | 0.327779i | ||||
\(311\) | 15.8352 | − | 27.4274i | 0.897934 | − | 1.55527i | 0.0678034 | − | 0.997699i | \(-0.478401\pi\) |
0.830131 | − | 0.557569i | \(-0.188266\pi\) | |||||||
\(312\) | −4.48443 | + | 4.34625i | −0.253881 | + | 0.246058i | ||||
\(313\) | 12.5081 | − | 7.22158i | 0.707002 | − | 0.408188i | −0.102948 | − | 0.994687i | \(-0.532828\pi\) |
0.809950 | + | 0.586499i | \(0.199494\pi\) | |||||||
\(314\) | −18.4221 | + | 10.6360i | −1.03962 | + | 0.600226i | ||||
\(315\) | −11.2764 | + | 9.22994i | −0.635355 | + | 0.520048i | ||||
\(316\) | 3.92399 | − | 6.79656i | 0.220742 | − | 0.382336i | ||||
\(317\) | 12.7938 | + | 22.1596i | 0.718573 | + | 1.24461i | 0.961565 | + | 0.274577i | \(0.0885379\pi\) |
−0.242992 | + | 0.970028i | \(0.578129\pi\) | |||||||
\(318\) | 3.14670 | + | 11.1997i | 0.176458 | + | 0.628048i | ||||
\(319\) | 6.16949 | − | 3.56196i | 0.345425 | − | 0.199431i | ||||
\(320\) | 1.58996 | − | 0.917964i | 0.0888815 | − | 0.0513158i | ||||
\(321\) | 16.1766 | − | 16.5730i | 0.902891 | − | 0.925013i | ||||
\(322\) | 2.46271 | − | 6.06921i | 0.137242 | − | 0.338224i | ||||
\(323\) | −3.23545 | − | 5.60396i | −0.180025 | − | 0.311813i | ||||
\(324\) | 4.11758 | − | 8.00285i | 0.228754 | − | 0.444603i | ||||
\(325\) | 5.16724 | − | 2.79510i | 0.286627 | − | 0.155044i | ||||
\(326\) | −8.67648 | − | 5.00937i | −0.480546 | − | 0.277443i | ||||
\(327\) | −5.34998 | + | 5.48106i | −0.295854 | + | 0.303103i | ||||
\(328\) | −4.35184 | + | 2.51254i | −0.240290 | + | 0.138732i | ||||
\(329\) | 11.5991 | − | 28.5853i | 0.639480 | − | 1.57596i | ||||
\(330\) | 10.4533 | + | 2.66580i | 0.575435 | + | 0.146747i | ||||
\(331\) | 8.37563i | 0.460366i | 0.973147 | + | 0.230183i | \(0.0739325\pi\) | ||||
−0.973147 | + | 0.230183i | \(0.926067\pi\) | |||||||
\(332\) | 11.3267 | − | 6.53950i | 0.621636 | − | 0.358902i | ||||
\(333\) | 0.787333 | + | 1.29053i | 0.0431456 | + | 0.0707205i | ||||
\(334\) | − | 3.59825i | − | 0.196888i | ||||||
\(335\) | 9.11349 | + | 15.7850i | 0.497923 | + | 0.862428i | ||||
\(336\) | 4.55408 | + | 0.510221i | 0.248446 | + | 0.0278348i | ||||
\(337\) | −9.14343 | −0.498074 | −0.249037 | − | 0.968494i | \(-0.580114\pi\) | ||||
−0.249037 | + | 0.968494i | \(0.580114\pi\) | |||||||
\(338\) | −12.9800 | − | 0.721089i | −0.706018 | − | 0.0392221i | ||||
\(339\) | −19.3330 | + | 19.8067i | −1.05002 | + | 1.07575i | ||||
\(340\) | − | 5.84754i | − | 0.317127i | ||||||
\(341\) | 10.6641 | − | 18.4708i | 0.577494 | − | 1.00025i | ||||
\(342\) | −5.20306 | + | 3.17431i | −0.281349 | + | 0.171647i | ||||
\(343\) | −7.45669 | − | 16.9528i | −0.402623 | − | 0.915366i | ||||
\(344\) | 0.528972 | − | 0.916206i | 0.0285202 | − | 0.0493985i | ||||
\(345\) | −1.94531 | + | 7.62808i | −0.104732 | + | 0.410682i | ||||
\(346\) | 0.476807 | − | 0.825853i | 0.0256333 | − | 0.0443982i | ||||
\(347\) | −26.9305 | + | 15.5484i | −1.44571 | + | 0.834679i | −0.998222 | − | 0.0596117i | \(-0.981014\pi\) |
−0.447486 | + | 0.894291i | \(0.647680\pi\) | |||||||
\(348\) | −2.54054 | + | 2.60279i | −0.136187 | + | 0.139524i | ||||
\(349\) | −14.0331 | − | 24.3060i | −0.751175 | − | 1.30107i | −0.947254 | − | 0.320485i | \(-0.896154\pi\) |
0.196079 | − | 0.980588i | \(-0.437179\pi\) | |||||||
\(350\) | −3.99457 | − | 1.62088i | −0.213519 | − | 0.0866398i | ||||
\(351\) | 18.0545 | − | 5.00365i | 0.963676 | − | 0.267075i | ||||
\(352\) | −1.69625 | − | 2.93798i | −0.0904102 | − | 0.156595i | ||||
\(353\) | 28.3322i | 1.50797i | 0.656893 | + | 0.753984i | \(0.271870\pi\) | ||||
−0.656893 | + | 0.753984i | \(0.728130\pi\) | |||||||
\(354\) | −10.4207 | − | 2.65747i | −0.553852 | − | 0.141243i | ||||
\(355\) | 28.5314i | 1.51429i | ||||||||
\(356\) | − | 5.33363i | − | 0.282682i | ||||||
\(357\) | 8.65988 | − | 11.7492i | 0.458329 | − | 0.621833i | ||||
\(358\) | 15.3789 | + | 8.87903i | 0.812802 | + | 0.469271i | ||||
\(359\) | −10.8679 | − | 18.8238i | −0.573588 | − | 0.993483i | −0.996193 | − | 0.0871698i | \(-0.972218\pi\) |
0.422606 | − | 0.906314i | \(-0.361116\pi\) | |||||||
\(360\) | −5.50617 | + | 0.133296i | −0.290201 | + | 0.00702530i | ||||
\(361\) | −14.8724 | −0.782760 | ||||||||
\(362\) | −4.77669 | − | 2.75782i | −0.251057 | − | 0.144948i | ||||
\(363\) | 0.217853 | − | 0.854260i | 0.0114343 | − | 0.0448370i | ||||
\(364\) | 5.65070 | + | 7.68568i | 0.296177 | + | 0.402839i | ||||
\(365\) | − | 16.4343i | − | 0.860209i | ||||||
\(366\) | 14.1315 | − | 14.4778i | 0.738667 | − | 0.756765i | ||||
\(367\) | 15.7687i | 0.823121i | 0.911382 | + | 0.411561i | \(0.135016\pi\) | ||||
−0.911382 | + | 0.411561i | \(0.864984\pi\) | |||||||
\(368\) | 2.14393 | − | 1.23780i | 0.111760 | − | 0.0645248i | ||||
\(369\) | 15.0708 | − | 0.364840i | 0.784554 | − | 0.0189928i | ||||
\(370\) | 0.462574 | − | 0.801202i | 0.0240481 | − | 0.0416525i | ||||
\(371\) | 17.6010 | − | 2.44675i | 0.913799 | − | 0.127029i | ||||
\(372\) | −2.69085 | + | 10.5515i | −0.139514 | + | 0.547071i | ||||
\(373\) | −7.24507 | −0.375135 | −0.187568 | − | 0.982252i | \(-0.560060\pi\) | ||||
−0.187568 | + | 0.982252i | \(0.560060\pi\) | |||||||
\(374\) | −10.8053 | −0.558728 | ||||||||
\(375\) | 20.4271 | + | 5.20931i | 1.05485 | + | 0.269008i | ||||
\(376\) | 10.0977 | − | 5.82991i | 0.520750 | − | 0.300655i | ||||
\(377\) | −7.56841 | − | 0.210065i | −0.389793 | − | 0.0108189i | ||||
\(378\) | −11.2607 | − | 7.88650i | −0.579187 | − | 0.405638i | ||||
\(379\) | 4.24213 | − | 2.44920i | 0.217904 | − | 0.125807i | −0.387076 | − | 0.922048i | \(-0.626515\pi\) |
0.604979 | + | 0.796241i | \(0.293181\pi\) | |||||||
\(380\) | 3.23023 | + | 1.86497i | 0.165707 | + | 0.0956711i | ||||
\(381\) | −1.58740 | + | 0.446000i | −0.0813250 | + | 0.0228493i | ||||
\(382\) | −17.4751 | − | 10.0893i | −0.894106 | − | 0.516212i | ||||
\(383\) | 7.91504i | 0.404439i | 0.979340 | + | 0.202220i | \(0.0648155\pi\) | ||||
−0.979340 | + | 0.202220i | \(0.935184\pi\) | |||||||
\(384\) | 1.23948 | + | 1.20983i | 0.0632518 | + | 0.0617391i | ||||
\(385\) | 6.19594 | − | 15.2695i | 0.315774 | − | 0.778207i | ||||
\(386\) | 3.93413 | + | 2.27137i | 0.200242 | + | 0.115610i | ||||
\(387\) | −2.70941 | + | 1.65297i | −0.137727 | + | 0.0840252i | ||||
\(388\) | −9.59814 | −0.487272 | ||||||||
\(389\) | −2.27718 | − | 1.31473i | −0.115458 | − | 0.0666595i | 0.441159 | − | 0.897429i | \(-0.354567\pi\) |
−0.556617 | + | 0.830769i | \(0.687901\pi\) | |||||||
\(390\) | −7.97940 | − | 8.23309i | −0.404053 | − | 0.416899i | ||||
\(391\) | − | 7.88494i | − | 0.398758i | ||||||
\(392\) | 1.71381 | − | 6.78696i | 0.0865606 | − | 0.342793i | ||||
\(393\) | 16.5334 | − | 4.64528i | 0.834002 | − | 0.234323i | ||||
\(394\) | −11.4873 | −0.578720 | ||||||||
\(395\) | 12.4780 | + | 7.20417i | 0.627836 | + | 0.362481i | ||||
\(396\) | 0.246308 | + | 10.1745i | 0.0123775 | + | 0.511287i | ||||
\(397\) | −33.1058 | −1.66153 | −0.830766 | − | 0.556622i | \(-0.812097\pi\) | ||||
−0.830766 | + | 0.556622i | \(0.812097\pi\) | |||||||
\(398\) | 6.86468i | 0.344095i | ||||||||
\(399\) | 3.72842 | + | 8.53099i | 0.186655 | + | 0.427083i | ||||
\(400\) | −0.814684 | − | 1.41107i | −0.0407342 | − | 0.0705537i | ||||
\(401\) | −3.49869 | + | 6.05991i | −0.174716 | + | 0.302618i | −0.940063 | − | 0.341001i | \(-0.889234\pi\) |
0.765347 | + | 0.643618i | \(0.222567\pi\) | |||||||
\(402\) | −12.0112 | + | 12.3054i | −0.599062 | + | 0.613740i | ||||
\(403\) | −19.9377 | + | 10.7848i | −0.993169 | + | 0.537231i | ||||
\(404\) | −4.69535 | − | 8.13258i | −0.233602 | − | 0.404611i | ||||
\(405\) | 14.6927 | + | 7.55958i | 0.730084 | + | 0.375638i | ||||
\(406\) | 3.41394 | + | 4.38318i | 0.169431 | + | 0.217534i | ||||
\(407\) | −1.48049 | − | 0.854760i | −0.0733851 | − | 0.0423689i | ||||
\(408\) | 5.31104 | − | 1.49220i | 0.262936 | − | 0.0738751i | ||||
\(409\) | −15.9202 | − | 27.5747i | −0.787206 | − | 1.36348i | −0.927673 | − | 0.373395i | \(-0.878194\pi\) |
0.140467 | − | 0.990085i | \(-0.455140\pi\) | |||||||
\(410\) | −4.61284 | − | 7.98966i | −0.227812 | − | 0.394581i | ||||
\(411\) | −5.30772 | + | 1.49127i | −0.261811 | + | 0.0735590i | ||||
\(412\) | 11.5646 | + | 6.67680i | 0.569745 | + | 0.328942i | ||||
\(413\) | −6.17659 | + | 15.2219i | −0.303930 | + | 0.749019i | ||||
\(414\) | −7.42463 | + | 0.179738i | −0.364901 | + | 0.00883366i | ||||
\(415\) | 12.0061 | + | 20.7951i | 0.589354 | + | 1.02079i | ||||
\(416\) | −0.100036 | + | 3.60416i | −0.00490465 | + | 0.176709i | ||||
\(417\) | −0.137140 | + | 0.140501i | −0.00671580 | + | 0.00688034i | ||||
\(418\) | 3.44616 | − | 5.96893i | 0.168557 | − | 0.291950i | ||||
\(419\) | −5.19733 | − | 9.00204i | −0.253906 | − | 0.439778i | 0.710692 | − | 0.703504i | \(-0.248382\pi\) |
−0.964598 | + | 0.263725i | \(0.915049\pi\) | |||||||
\(420\) | −0.936728 | + | 8.36097i | −0.0457077 | + | 0.407974i | ||||
\(421\) | 0.111490i | 0.00543368i | 0.999996 | + | 0.00271684i | \(0.000864798\pi\) | ||||
−0.999996 | + | 0.00271684i | \(0.999135\pi\) | |||||||
\(422\) | 5.27914 | 0.256984 | ||||||||
\(423\) | −34.9692 | + | 0.846550i | −1.70026 | + | 0.0411607i | ||||
\(424\) | 5.81668 | + | 3.35826i | 0.282483 | + | 0.163092i | ||||
\(425\) | −5.18963 | −0.251734 | ||||||||
\(426\) | −25.9137 | + | 7.28079i | −1.25552 | + | 0.352756i | ||||
\(427\) | −18.9898 | − | 24.3811i | −0.918979 | − | 1.17988i | ||||
\(428\) | − | 13.3709i | − | 0.646309i | ||||||
\(429\) | −15.2134 | + | 14.7446i | −0.734509 | + | 0.711876i | ||||
\(430\) | 1.68209 | + | 0.971154i | 0.0811175 | + | 0.0468332i | ||||
\(431\) | −38.6276 | −1.86063 | −0.930313 | − | 0.366767i | \(-0.880465\pi\) | ||||
−0.930313 | + | 0.366767i | \(0.880465\pi\) | |||||||
\(432\) | −1.52616 | − | 4.96698i | −0.0734273 | − | 0.238974i | ||||
\(433\) | 5.30602 | + | 3.06343i | 0.254991 | + | 0.147219i | 0.622047 | − | 0.782980i | \(-0.286301\pi\) |
−0.367056 | + | 0.930199i | \(0.619634\pi\) | |||||||
\(434\) | 15.4130 | + | 6.25416i | 0.739848 | + | 0.300209i | ||||
\(435\) | −4.77853 | − | 4.66425i | −0.229113 | − | 0.223634i | ||||
\(436\) | 4.42208i | 0.211779i | ||||||||
\(437\) | 4.35570 | + | 2.51477i | 0.208362 | + | 0.120298i | ||||
\(438\) | 14.9265 | − | 4.19378i | 0.713214 | − | 0.200386i | ||||
\(439\) | 30.2778 | + | 17.4809i | 1.44508 | + | 0.834318i | 0.998182 | − | 0.0602668i | \(-0.0191951\pi\) |
0.446899 | + | 0.894585i | \(0.352528\pi\) | |||||||
\(440\) | 5.39393 | − | 3.11418i | 0.257145 | − | 0.148463i | ||||
\(441\) | −14.2642 | + | 15.4121i | −0.679250 | + | 0.733907i | ||||
\(442\) | 9.78221 | + | 6.01567i | 0.465292 | + | 0.286136i | ||||
\(443\) | −7.76750 | + | 4.48457i | −0.369045 | + | 0.213068i | −0.673041 | − | 0.739605i | \(-0.735012\pi\) |
0.303996 | + | 0.952673i | \(0.401679\pi\) | |||||||
\(444\) | 0.845735 | + | 0.215679i | 0.0401368 | + | 0.0102357i | ||||
\(445\) | 9.79216 | 0.464193 | ||||||||
\(446\) | −28.5965 | −1.35408 | ||||||||
\(447\) | −9.29317 | + | 36.4410i | −0.439552 | + | 1.72360i | ||||
\(448\) | 2.08732 | − | 1.62576i | 0.0986166 | − | 0.0768099i | ||||
\(449\) | −9.32220 | + | 16.1465i | −0.439942 | + | 0.762002i | −0.997684 | − | 0.0680121i | \(-0.978334\pi\) |
0.557742 | + | 0.830014i | \(0.311668\pi\) | |||||||
\(450\) | 0.118299 | + | 4.88667i | 0.00557665 | + | 0.230360i | ||||
\(451\) | −14.7636 | + | 8.52375i | −0.695190 | + | 0.401368i | ||||
\(452\) | 15.9799i | 0.751631i | ||||||||
\(453\) | 6.56167 | − | 6.72244i | 0.308294 | − | 0.315848i | ||||
\(454\) | 6.00983i | 0.282055i | ||||||||
\(455\) | −14.1104 | + | 10.3743i | −0.661504 | + | 0.486353i | ||||
\(456\) | −0.869560 | + | 3.40977i | −0.0407209 | + | 0.159677i | ||||
\(457\) | −24.6765 | − | 14.2470i | −1.15432 | − | 0.666445i | −0.204382 | − | 0.978891i | \(-0.565518\pi\) |
−0.949935 | + | 0.312446i | \(0.898852\pi\) | |||||||
\(458\) | −14.0567 | −0.656828 | ||||||||
\(459\) | −16.1311 | − | 3.70039i | −0.752934 | − | 0.172719i | ||||
\(460\) | 2.27251 | + | 3.93611i | 0.105956 | + | 0.183522i | ||||
\(461\) | −10.2455 | − | 5.91523i | −0.477180 | − | 0.275500i | 0.242061 | − | 0.970261i | \(-0.422177\pi\) |
−0.719240 | + | 0.694761i | \(0.755510\pi\) | |||||||
\(462\) | 15.4497 | + | 1.73092i | 0.718784 | + | 0.0805296i | ||||
\(463\) | − | 10.9649i | − | 0.509582i | −0.966996 | − | 0.254791i | \(-0.917993\pi\) | ||
0.966996 | − | 0.254791i | \(-0.0820067\pi\) | |||||||
\(464\) | 2.09991i | 0.0974857i | ||||||||
\(465\) | −19.3718 | − | 4.94020i | −0.898347 | − | 0.229096i | ||||
\(466\) | 27.7648i | 1.28618i | ||||||||
\(467\) | 10.0288 | + | 17.3705i | 0.464080 | + | 0.803810i | 0.999159 | − | 0.0409918i | \(-0.0130517\pi\) |
−0.535080 | + | 0.844802i | \(0.679718\pi\) | |||||||
\(468\) | 5.44150 | − | 9.34827i | 0.251533 | − | 0.432124i | ||||
\(469\) | 16.1404 | + | 20.7228i | 0.745296 | + | 0.956889i | ||||
\(470\) | 10.7033 | + | 18.5387i | 0.493707 | + | 0.855125i | ||||
\(471\) | 25.7357 | − | 26.3662i | 1.18584 | − | 1.21489i | ||||
\(472\) | −5.37709 | + | 3.10446i | −0.247501 | + | 0.142894i | ||||
\(473\) | 1.79453 | − | 3.10822i | 0.0825126 | − | 0.142916i | ||||
\(474\) | −3.35901 | + | 13.1716i | −0.154284 | + | 0.604989i | ||||
\(475\) | 1.65514 | − | 2.86679i | 0.0759432 | − | 0.131538i | ||||
\(476\) | −1.16028 | − | 8.34661i | −0.0531814 | − | 0.382566i | ||||
\(477\) | −10.4942 | − | 17.2011i | −0.480494 | − | 0.787585i | ||||
\(478\) | −2.65674 | + | 4.60160i | −0.121516 | + | 0.210472i | ||||
\(479\) | − | 30.7699i | − | 1.40591i | −0.711232 | − | 0.702957i | \(-0.751862\pi\) | ||
0.711232 | − | 0.702957i | \(-0.248138\pi\) | |||||||
\(480\) | −2.22117 | + | 2.27559i | −0.101382 | + | 0.103866i | ||||
\(481\) | 0.864437 | + | 1.59807i | 0.0394149 | + | 0.0728656i | ||||
\(482\) | 19.2577 | 0.877164 | ||||||||
\(483\) | −1.26310 | + | 11.2741i | −0.0574732 | + | 0.512989i | ||||
\(484\) | −0.254496 | − | 0.440801i | −0.0115680 | − | 0.0200364i | ||||
\(485\) | − | 17.6215i | − | 0.800151i | ||||||
\(486\) | −3.11666 | + | 15.2737i | −0.141374 | + | 0.692830i | ||||
\(487\) | 31.0757 | − | 17.9415i | 1.40817 | − | 0.813009i | 0.412960 | − | 0.910749i | \(-0.364495\pi\) |
0.995212 | + | 0.0977403i | \(0.0311614\pi\) | |||||||
\(488\) | − | 11.6806i | − | 0.528754i | ||||||
\(489\) | 16.8148 | + | 4.28811i | 0.760391 | + | 0.193915i | ||||
\(490\) | 12.4604 | + | 3.14644i | 0.562902 | + | 0.142142i | ||||
\(491\) | −32.3384 | + | 18.6706i | −1.45941 | + | 0.842592i | −0.998982 | − | 0.0451043i | \(-0.985638\pi\) |
−0.460430 | + | 0.887696i | \(0.652305\pi\) | |||||||
\(492\) | 6.07950 | − | 6.22846i | 0.274085 | − | 0.280801i | ||||
\(493\) | 5.79226 | + | 3.34416i | 0.260870 | + | 0.150614i | ||||
\(494\) | −6.44297 | + | 3.48517i | −0.289883 | + | 0.156805i | ||||
\(495\) | −18.6796 | + | 0.452204i | −0.839587 | + | 0.0203251i | ||||
\(496\) | 3.14345 | + | 5.44461i | 0.141145 | + | 0.244470i | ||||
\(497\) | 5.66127 | + | 40.7250i | 0.253943 | + | 1.82676i | ||||
\(498\) | −15.8234 | + | 16.2111i | −0.709064 | + | 0.726437i | ||||
\(499\) | −19.1199 | + | 11.0389i | −0.855925 | + | 0.494169i | −0.862646 | − | 0.505809i | \(-0.831194\pi\) |
0.00672032 | + | 0.999977i | \(0.497861\pi\) | |||||||
\(500\) | 10.5404 | − | 6.08552i | 0.471382 | − | 0.272153i | ||||
\(501\) | 1.68579 | + | 6.00003i | 0.0753153 | + | 0.268062i | ||||
\(502\) | 4.75595 | + | 8.23755i | 0.212269 | + | 0.367660i | ||||
\(503\) | 18.0289 | − | 31.2270i | 0.803870 | − | 1.39234i | −0.113181 | − | 0.993574i | \(-0.536104\pi\) |
0.917051 | − | 0.398769i | \(-0.130563\pi\) | |||||||
\(504\) | −7.83291 | + | 1.28281i | −0.348905 | + | 0.0571408i | ||||
\(505\) | 14.9308 | − | 8.62032i | 0.664413 | − | 0.383599i | ||||
\(506\) | 7.27328 | − | 4.19923i | 0.323337 | − | 0.186678i | ||||
\(507\) | 21.9818 | − | 4.87873i | 0.976244 | − | 0.216672i | ||||
\(508\) | −0.475986 | + | 0.824432i | −0.0211185 | + | 0.0365783i | ||||
\(509\) | −23.5652 | − | 13.6054i | −1.04451 | − | 0.603047i | −0.123402 | − | 0.992357i | \(-0.539380\pi\) |
−0.921107 | + | 0.389310i | \(0.872714\pi\) | |||||||
\(510\) | 2.73958 | + | 9.75069i | 0.121311 | + | 0.431768i | ||||
\(511\) | −3.26092 | − | 23.4578i | −0.144255 | − | 1.03771i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 7.18885 | − | 7.73076i | 0.317396 | − | 0.341321i | ||||
\(514\) | −2.63187 | − | 4.55853i | −0.116087 | − | 0.201068i | ||||
\(515\) | −12.2581 | + | 21.2317i | −0.540157 | + | 0.935580i | ||||
\(516\) | −0.452809 | + | 1.77558i | −0.0199338 | + | 0.0781657i | ||||
\(517\) | 34.2564 | − | 19.7779i | 1.50659 | − | 0.869832i | ||||
\(518\) | 0.501289 | − | 1.23540i | 0.0220254 | − | 0.0542803i | ||||
\(519\) | −0.408155 | + | 1.60048i | −0.0179160 | + | 0.0702534i | ||||
\(520\) | −6.61699 | − | 0.183658i | −0.290174 | − | 0.00805394i | ||||
\(521\) | 7.90186 | − | 13.6864i | 0.346187 | − | 0.599613i | −0.639382 | − | 0.768889i | \(-0.720810\pi\) |
0.985569 | + | 0.169276i | \(0.0541430\pi\) | |||||||
\(522\) | 3.01690 | − | 5.53035i | 0.132046 | − | 0.242057i | ||||
\(523\) | −1.52777 | − | 0.882061i | −0.0668049 | − | 0.0385698i | 0.466225 | − | 0.884666i | \(-0.345614\pi\) |
−0.533030 | + | 0.846096i | \(0.678947\pi\) | |||||||
\(524\) | 4.95760 | − | 8.58681i | 0.216574 | − | 0.375117i | ||||
\(525\) | 7.42027 | + | 0.831337i | 0.323847 | + | 0.0362825i | ||||
\(526\) | 9.39641 | + | 5.42502i | 0.409703 | + | 0.236542i | ||||
\(527\) | 20.0241 | 0.872265 | ||||||||
\(528\) | 4.20491 | + | 4.10435i | 0.182995 | + | 0.178619i | ||||
\(529\) | −8.43570 | − | 14.6111i | −0.366769 | − | 0.635263i | ||||
\(530\) | −6.16553 | + | 10.6790i | −0.267813 | + | 0.463867i | ||||
\(531\) | 18.6213 | − | 0.450793i | 0.808097 | − | 0.0195627i | ||||
\(532\) | 4.98079 | + | 2.02106i | 0.215945 | + | 0.0876241i | ||||
\(533\) | 18.1112 | + | 0.502686i | 0.784482 | + | 0.0217737i | ||||
\(534\) | 2.49881 | + | 8.89375i | 0.108134 | + | 0.384870i | ||||
\(535\) | 24.5481 | 1.06131 | ||||||||
\(536\) | 9.92794i | 0.428822i | ||||||||
\(537\) | −29.8040 | − | 7.60060i | −1.28614 | − | 0.327990i | ||||
\(538\) | 18.1117 | 0.780853 | ||||||||
\(539\) | 5.81410 | − | 23.0247i | 0.250431 | − | 0.991744i | ||||
\(540\) | 9.11901 | − | 2.80192i | 0.392420 | − | 0.120575i | ||||
\(541\) | −18.1904 | + | 10.5022i | −0.782066 | + | 0.451526i | −0.837162 | − | 0.546955i | \(-0.815787\pi\) |
0.0550960 | + | 0.998481i | \(0.482454\pi\) | |||||||
\(542\) | 4.33664 | + | 7.51129i | 0.186275 | + | 0.322638i | ||||
\(543\) | 9.25710 | + | 2.36074i | 0.397260 | + | 0.101309i | ||||
\(544\) | 1.59253 | − | 2.75834i | 0.0682791 | − | 0.118263i | ||||
\(545\) | −8.11861 | −0.347763 | ||||||||
\(546\) | −13.0232 | − | 10.1684i | −0.557342 | − | 0.435167i | ||||
\(547\) | −37.9155 | −1.62115 | −0.810575 | − | 0.585635i | \(-0.800845\pi\) | ||||
−0.810575 | + | 0.585635i | \(0.800845\pi\) | |||||||
\(548\) | −1.59153 | + | 2.75662i | −0.0679870 | + | 0.117757i | ||||
\(549\) | −16.7813 | + | 30.7621i | −0.716207 | + | 1.31289i | ||||
\(550\) | −2.76381 | − | 4.78705i | −0.117849 | − | 0.204121i | ||||
\(551\) | −3.69469 | + | 2.13313i | −0.157399 | + | 0.0908743i | ||||
\(552\) | −2.99507 | + | 3.06845i | −0.127479 | + | 0.130602i | ||||
\(553\) | 19.2402 | + | 7.80712i | 0.818176 | + | 0.331993i | ||||
\(554\) | −18.2835 | −0.776792 | ||||||||
\(555\) | −0.395972 | + | 1.55271i | −0.0168081 | + | 0.0659088i | ||||
\(556\) | 0.113355i | 0.00480731i | ||||||||
\(557\) | 15.2846 | 0.647630 | 0.323815 | − | 0.946120i | \(-0.395035\pi\) | ||||
0.323815 | + | 0.946120i | \(0.395035\pi\) | |||||||
\(558\) | −0.456454 | − | 18.8552i | −0.0193232 | − | 0.798203i | ||||
\(559\) | −3.35507 | + | 1.81485i | −0.141904 | + | 0.0767598i | ||||
\(560\) | 2.98478 | + | 3.83217i | 0.126130 | + | 0.161939i | ||||
\(561\) | 18.0177 | − | 5.06229i | 0.760706 | − | 0.213730i | ||||
\(562\) | 1.36889 | − | 2.37099i | 0.0577433 | − | 0.100014i | ||||
\(563\) | −9.39707 | − | 16.2762i | −0.396039 | − | 0.685960i | 0.597194 | − | 0.802097i | \(-0.296282\pi\) |
−0.993233 | + | 0.116137i | \(0.962949\pi\) | |||||||
\(564\) | −14.1065 | + | 14.4521i | −0.593989 | + | 0.608543i | ||||
\(565\) | −29.3379 | −1.23426 | ||||||||
\(566\) | −4.60044 | − | 2.65607i | −0.193371 | − | 0.111643i | ||||
\(567\) | 22.4719 | + | 7.87498i | 0.943730 | + | 0.330718i | ||||
\(568\) | −7.77030 | + | 13.4586i | −0.326035 | + | 0.564709i | ||||
\(569\) | 18.6401 | + | 10.7619i | 0.781433 | + | 0.451160i | 0.836938 | − | 0.547298i | \(-0.184344\pi\) |
−0.0555050 | + | 0.998458i | \(0.517677\pi\) | |||||||
\(570\) | −6.26010 | − | 1.59645i | −0.262207 | − | 0.0668679i | ||||
\(571\) | 19.8438 | − | 34.3705i | 0.830438 | − | 1.43836i | −0.0672531 | − | 0.997736i | \(-0.521424\pi\) |
0.897691 | − | 0.440625i | \(-0.145243\pi\) | |||||||
\(572\) | −0.339370 | + | 12.2271i | −0.0141898 | + | 0.511240i | ||||
\(573\) | 33.8664 | + | 8.63659i | 1.41479 | + | 0.360799i | ||||
\(574\) | −8.16956 | − | 10.4889i | −0.340991 | − | 0.437800i | ||||
\(575\) | 3.49326 | − | 2.01683i | 0.145679 | − | 0.0841077i | ||||
\(576\) | −2.63362 | − | 1.43668i | −0.109734 | − | 0.0598618i | ||||
\(577\) | 20.4728 | − | 35.4599i | 0.852293 | − | 1.47621i | −0.0268412 | − | 0.999640i | \(-0.508545\pi\) |
0.879134 | − | 0.476575i | \(-0.158122\pi\) | |||||||
\(578\) | 3.42770 | + | 5.93695i | 0.142573 | + | 0.246944i | ||||
\(579\) | −7.62425 | − | 1.94433i | −0.316853 | − | 0.0808038i | ||||
\(580\) | −3.85528 | −0.160082 | ||||||||
\(581\) | 21.2633 | + | 27.3001i | 0.882151 | + | 1.13260i | ||||
\(582\) | 16.0047 | − | 4.49674i | 0.663418 | − | 0.186396i | ||||
\(583\) | 19.7330 | + | 11.3929i | 0.817259 | + | 0.471845i | ||||
\(584\) | 4.47574 | − | 7.75221i | 0.185207 | − | 0.320789i | ||||
\(585\) | 17.1627 | + | 9.99020i | 0.709592 | + | 0.413044i | ||||
\(586\) | −2.86877 | + | 1.65628i | −0.118508 | + | 0.0684205i | ||||
\(587\) | −32.8994 | + | 18.9945i | −1.35790 | + | 0.783986i | −0.989341 | − | 0.145616i | \(-0.953483\pi\) |
−0.368563 | + | 0.929603i | \(0.620150\pi\) | |||||||
\(588\) | 0.321941 | + | 12.1201i | 0.0132766 | + | 0.499824i | ||||
\(589\) | −6.38636 | + | 11.0615i | −0.263145 | + | 0.455781i | ||||
\(590\) | −5.69957 | − | 9.87195i | −0.234648 | − | 0.406422i | ||||
\(591\) | 19.1548 | − | 5.38180i | 0.787925 | − | 0.221378i | ||||
\(592\) | 0.436402 | − | 0.251957i | 0.0179360 | − | 0.0103554i | ||||
\(593\) | −13.8054 | + | 7.97057i | −0.566921 | + | 0.327312i | −0.755919 | − | 0.654665i | \(-0.772810\pi\) |
0.188997 | + | 0.981978i | \(0.439476\pi\) | |||||||
\(594\) | −5.17748 | − | 16.8504i | −0.212434 | − | 0.691381i | ||||
\(595\) | 15.3238 | − | 2.13019i | 0.628214 | − | 0.0873294i | ||||
\(596\) | 10.8563 | + | 18.8036i | 0.444691 | + | 0.770227i | ||||
\(597\) | −3.21611 | − | 11.4467i | −0.131627 | − | 0.468484i | ||||
\(598\) | −8.92247 | − | 0.247648i | −0.364867 | − | 0.0101271i | ||||
\(599\) | −3.66862 | − | 2.11808i | −0.149896 | − | 0.0865423i | 0.423176 | − | 0.906047i | \(-0.360915\pi\) |
−0.573072 | + | 0.819505i | \(0.694248\pi\) | |||||||
\(600\) | 2.01956 | + | 1.97126i | 0.0824483 | + | 0.0804765i | ||||
\(601\) | 2.17316 | − | 1.25468i | 0.0886451 | − | 0.0511793i | −0.455022 | − | 0.890480i | \(-0.650369\pi\) |
0.543667 | + | 0.839301i | \(0.317035\pi\) | |||||||
\(602\) | 2.59366 | + | 1.05243i | 0.105710 | + | 0.0428940i | ||||
\(603\) | 14.2633 | − | 26.1464i | 0.580847 | − | 1.06476i | ||||
\(604\) | − | 5.42361i | − | 0.220684i | ||||||
\(605\) | 0.809278 | − | 0.467237i | 0.0329018 | − | 0.0189959i | ||||
\(606\) | 11.6395 | + | 11.3612i | 0.472824 | + | 0.461516i | ||||
\(607\) | 42.8486i | 1.73917i | 0.493781 | + | 0.869586i | \(0.335614\pi\) | ||||
−0.493781 | + | 0.869586i | \(0.664386\pi\) | |||||||
\(608\) | 1.01582 | + | 1.75945i | 0.0411970 | + | 0.0713552i | ||||
\(609\) | −7.74623 | − | 5.70945i | −0.313893 | − | 0.231359i | ||||
\(610\) | 21.4447 | 0.868269 | ||||||||
\(611\) | −42.0239 | − | 1.16640i | −1.70011 | − | 0.0471874i | ||||
\(612\) | −8.15698 | + | 4.97646i | −0.329726 | + | 0.201161i | ||||
\(613\) | 21.1506i | 0.854266i | 0.904189 | + | 0.427133i | \(0.140476\pi\) | ||||
−0.904189 | + | 0.427133i | \(0.859524\pi\) | |||||||
\(614\) | 11.9407 | − | 20.6819i | 0.481886 | − | 0.834652i | ||||
\(615\) | 11.4350 | + | 11.1615i | 0.461104 | + | 0.450076i | ||||
\(616\) | 7.08122 | − | 5.51537i | 0.285310 | − | 0.222221i | ||||
\(617\) | −17.5132 | + | 30.3337i | −0.705053 | + | 1.22119i | 0.261619 | + | 0.965171i | \(0.415744\pi\) |
−0.966672 | + | 0.256017i | \(0.917590\pi\) | |||||||
\(618\) | −22.4118 | − | 5.71545i | −0.901535 | − | 0.229909i | ||||
\(619\) | −15.4257 | + | 26.7180i | −0.620010 | + | 1.07389i | 0.369473 | + | 0.929241i | \(0.379538\pi\) |
−0.989483 | + | 0.144648i | \(0.953795\pi\) | |||||||
\(620\) | −9.99592 | + | 5.77115i | −0.401446 | + | 0.231775i | ||||
\(621\) | 12.2963 | − | 3.77816i | 0.493432 | − | 0.151612i | ||||
\(622\) | 15.8352 | + | 27.4274i | 0.634935 | + | 1.09974i | ||||
\(623\) | 13.9771 | − | 1.94298i | 0.559979 | − | 0.0778439i | ||||
\(624\) | −1.52175 | − | 6.05676i | −0.0609186 | − | 0.242464i | ||||
\(625\) | 7.09916 | + | 12.2961i | 0.283967 | + | 0.491844i | ||||
\(626\) | 14.4432i | 0.577265i | ||||||||
\(627\) | −2.94997 | + | 11.5676i | −0.117811 | + | 0.461966i | ||||
\(628\) | − | 21.2721i | − | 0.848848i | ||||||
\(629\) | − | 1.60499i | − | 0.0639953i | ||||||
\(630\) | −2.35514 | − | 14.3807i | −0.0938312 | − | 0.572939i | ||||
\(631\) | −13.3366 | − | 7.69988i | −0.530921 | − | 0.306527i | 0.210470 | − | 0.977600i | \(-0.432500\pi\) |
−0.741391 | + | 0.671073i | \(0.765834\pi\) | |||||||
\(632\) | 3.92399 | + | 6.79656i | 0.156088 | + | 0.270352i | ||||
\(633\) | −8.80289 | + | 2.47328i | −0.349883 | + | 0.0983042i | ||||
\(634\) | −25.5877 | −1.01622 | ||||||||
\(635\) | −1.51360 | − | 0.873877i | −0.0600653 | − | 0.0346787i | ||||
\(636\) | −11.2726 | − | 2.87473i | −0.446987 | − | 0.113990i | ||||
\(637\) | −18.0822 | + | 17.6077i | −0.716444 | + | 0.697644i | ||||
\(638\) | 7.12392i | 0.282039i | ||||||||
\(639\) | 39.7997 | − | 24.2812i | 1.57445 | − | 0.960551i | ||||
\(640\) | 1.83593i | 0.0725714i | ||||||||
\(641\) | −8.06018 | + | 4.65355i | −0.318358 | + | 0.183804i | −0.650660 | − | 0.759369i | \(-0.725508\pi\) |
0.332302 | + | 0.943173i | \(0.392175\pi\) | |||||||
\(642\) | 6.26430 | + | 22.2958i | 0.247232 | + | 0.879947i | ||||
\(643\) | 3.03048 | − | 5.24895i | 0.119511 | − | 0.206998i | −0.800063 | − | 0.599916i | \(-0.795201\pi\) |
0.919574 | + | 0.392917i | \(0.128534\pi\) | |||||||
\(644\) | 4.02473 | + | 5.16737i | 0.158597 | + | 0.203623i | ||||
\(645\) | −3.25984 | − | 0.831325i | −0.128356 | − | 0.0327334i | ||||
\(646\) | 6.47090 | 0.254594 | ||||||||
\(647\) | 11.3010 | 0.444290 | 0.222145 | − | 0.975014i | \(-0.428694\pi\) | ||||
0.222145 | + | 0.975014i | \(0.428694\pi\) | |||||||
\(648\) | 4.87188 | + | 7.56735i | 0.191385 | + | 0.297274i | ||||
\(649\) | −18.2417 | + | 10.5319i | −0.716050 | + | 0.413412i | ||||
\(650\) | −0.162995 | + | 5.87251i | −0.00639318 | + | 0.230339i | ||||
\(651\) | −28.6311 | − | 3.20770i | −1.12214 | − | 0.125720i | ||||
\(652\) | 8.67648 | − | 5.00937i | 0.339797 | − | 0.196182i | ||||
\(653\) | −31.1098 | − | 17.9612i | −1.21742 | − | 0.702878i | −0.253055 | − | 0.967452i | \(-0.581435\pi\) |
−0.964365 | + | 0.264574i | \(0.914769\pi\) | |||||||
\(654\) | −2.07175 | − | 7.37375i | −0.0810117 | − | 0.288336i | ||||
\(655\) | 15.7648 | + | 9.10179i | 0.615981 | + | 0.355637i | ||||
\(656\) | − | 5.02507i | − | 0.196196i | ||||||
\(657\) | −22.9249 | + | 13.9861i | −0.894384 | + | 0.545651i | ||||
\(658\) | 18.9561 | + | 24.3378i | 0.738985 | + | 0.948786i | ||||
\(659\) | 14.9107 | + | 8.60870i | 0.580839 | + | 0.335348i | 0.761467 | − | 0.648204i | \(-0.224480\pi\) |
−0.180628 | + | 0.983552i | \(0.557813\pi\) | |||||||
\(660\) | −7.53529 | + | 7.71992i | −0.293311 | + | 0.300497i | ||||
\(661\) | 5.99169 | 0.233050 | 0.116525 | − | 0.993188i | \(-0.462825\pi\) | ||||
0.116525 | + | 0.993188i | \(0.462825\pi\) | |||||||
\(662\) | −7.25351 | − | 4.18782i | −0.281916 | − | 0.162764i | ||||
\(663\) | −19.1300 | − | 5.44806i | −0.742949 | − | 0.211585i | ||||
\(664\) | 13.0790i | 0.507564i | ||||||||
\(665\) | −3.71052 | + | 9.14437i | −0.143888 | + | 0.354603i | ||||
\(666\) | −1.51130 | + | 0.0365861i | −0.0585616 | + | 0.00141768i | ||||
\(667\) | −5.19853 | −0.201288 | ||||||||
\(668\) | 3.11618 | + | 1.79913i | 0.120569 | + | 0.0696103i | ||||
\(669\) | 47.6842 | − | 13.3975i | 1.84358 | − | 0.517977i | ||||
\(670\) | −18.2270 | −0.704170 | ||||||||
\(671\) | − | 39.6262i | − | 1.52975i | ||||||
\(672\) | −2.71891 | + | 3.68884i | −0.104884 | + | 0.142300i | ||||
\(673\) | −16.9593 | − | 29.3743i | −0.653732 | − | 1.13230i | −0.982210 | − | 0.187786i | \(-0.939869\pi\) |
0.328478 | − | 0.944512i | \(-0.393464\pi\) | |||||||
\(674\) | 4.57171 | − | 7.91844i | 0.176096 | − | 0.305007i | ||||
\(675\) | −2.48667 | − | 8.09303i | −0.0957120 | − | 0.311501i | ||||
\(676\) | 7.11447 | − | 10.8805i | 0.273634 | − | 0.418479i | ||||
\(677\) | 6.91552 | + | 11.9780i | 0.265785 | + | 0.460353i | 0.967769 | − | 0.251840i | \(-0.0810356\pi\) |
−0.701984 | + | 0.712193i | \(0.747702\pi\) | |||||||
\(678\) | −7.48659 | − | 26.6462i | −0.287521 | − | 1.02334i | ||||
\(679\) | −3.49649 | − | 25.1524i | −0.134183 | − | 0.965261i | ||||
\(680\) | 5.06412 | + | 2.92377i | 0.194200 | + | 0.112121i | ||||
\(681\) | −2.81561 | − | 10.0213i | −0.107894 | − | 0.384017i | ||||
\(682\) | 10.6641 | + | 18.4708i | 0.408350 | + | 0.707283i | ||||
\(683\) | −2.34804 | − | 4.06692i | −0.0898451 | − | 0.155616i | 0.817600 | − | 0.575786i | \(-0.195304\pi\) |
−0.907446 | + | 0.420170i | \(0.861971\pi\) | |||||||
\(684\) | −0.147505 | − | 6.09314i | −0.00564000 | − | 0.232977i | ||||
\(685\) | −5.06095 | − | 2.92194i | −0.193369 | − | 0.111642i | ||||
\(686\) | 18.4099 | + | 2.01872i | 0.702894 | + | 0.0770752i | ||||
\(687\) | 23.4394 | − | 6.58559i | 0.894268 | − | 0.251256i | ||||
\(688\) | 0.528972 | + | 0.916206i | 0.0201669 | + | 0.0349300i | ||||
\(689\) | −11.5219 | − | 21.3002i | −0.438948 | − | 0.811474i | ||||
\(690\) | −5.63345 | − | 5.49873i | −0.214462 | − | 0.209333i | ||||
\(691\) | 11.9009 | − | 20.6130i | 0.452732 | − | 0.784156i | −0.545822 | − | 0.837901i | \(-0.683783\pi\) |
0.998555 | + | 0.0537454i | \(0.0171159\pi\) | |||||||
\(692\) | 0.476807 | + | 0.825853i | 0.0181255 | + | 0.0313942i | ||||
\(693\) | −26.5731 | + | 4.35192i | −1.00943 | + | 0.165316i | ||||
\(694\) | − | 31.0967i | − | 1.18042i | ||||||
\(695\) | −0.208111 | −0.00789411 | ||||||||
\(696\) | −0.983809 | − | 3.50156i | −0.0372912 | − | 0.132726i | ||||
\(697\) | −13.8609 | − | 8.00258i | −0.525018 | − | 0.303119i | ||||
\(698\) | 28.0662 | 1.06232 | ||||||||
\(699\) | −13.0078 | − | 46.2973i | −0.492001 | − | 1.75113i | ||||
\(700\) | 3.40101 | − | 2.64896i | 0.128546 | − | 0.100121i | ||||
\(701\) | 35.3397i | 1.33476i | 0.744716 | + | 0.667382i | \(0.232585\pi\) | ||||
−0.744716 | + | 0.667382i | \(0.767415\pi\) | |||||||
\(702\) | −4.69394 | + | 18.1374i | −0.177161 | + | 0.684554i | ||||
\(703\) | 0.886611 | + | 0.511885i | 0.0334392 | + | 0.0193061i | ||||
\(704\) | 3.39249 | 0.127859 | ||||||||
\(705\) | −26.5330 | − | 25.8984i | −0.999290 | − | 0.975392i | ||||
\(706\) | −24.5364 | − | 14.1661i | −0.923438 | − | 0.533147i | ||||
\(707\) | 19.6014 | − | 15.2670i | 0.737186 | − | 0.574175i | ||||
\(708\) | 7.51177 | − | 7.69582i | 0.282310 | − | 0.289227i | ||||
\(709\) | − | 12.3456i | − | 0.463648i | −0.972758 | − | 0.231824i | \(-0.925531\pi\) | ||
0.972758 | − | 0.231824i | \(-0.0744694\pi\) | |||||||
\(710\) | −24.7090 | − | 14.2657i | −0.927310 | − | 0.535383i | ||||
\(711\) | −0.569795 | − | 23.5371i | −0.0213690 | − | 0.882709i | ||||
\(712\) | 4.61906 | + | 2.66681i | 0.173107 | + | 0.0999431i | ||||
\(713\) | −13.4787 | + | 7.78193i | −0.504781 | + | 0.291435i | ||||
\(714\) | 5.84515 | + | 13.3743i | 0.218749 | + | 0.500519i | ||||
\(715\) | −22.4481 | − | 0.623059i | −0.839510 | − | 0.0233011i | ||||
\(716\) | −15.3789 | + | 8.87903i | −0.574738 | + | 0.331825i | ||||
\(717\) | 2.27421 | − | 8.91779i | 0.0849320 | − | 0.333041i | ||||
\(718\) | 21.7359 | 0.811176 | ||||||||
\(719\) | 3.75984 | 0.140218 | 0.0701091 | − | 0.997539i | \(-0.477665\pi\) | ||||
0.0701091 | + | 0.997539i | \(0.477665\pi\) | |||||||
\(720\) | 2.63765 | − | 4.83513i | 0.0982994 | − | 0.180195i | ||||
\(721\) | −13.2841 | + | 32.7378i | −0.494724 | + | 1.21922i | ||||
\(722\) | 7.43622 | − | 12.8799i | 0.276747 | − | 0.479341i | ||||
\(723\) | −32.1119 | + | 9.02225i | −1.19426 | + | 0.335541i | ||||
\(724\) | 4.77669 | − | 2.75782i | 0.177524 | − | 0.102494i | ||||
\(725\) | 3.42152i | 0.127072i | ||||||||
\(726\) | 0.630884 | + | 0.615796i | 0.0234143 | + | 0.0228544i | ||||
\(727\) | 10.4236i | 0.386592i | 0.981141 | + | 0.193296i | \(0.0619177\pi\) | ||||
−0.981141 | + | 0.193296i | \(0.938082\pi\) | |||||||
\(728\) | −9.48134 | + | 1.05081i | −0.351402 | + | 0.0389455i | ||||
\(729\) | −1.95878 | − | 26.9289i | −0.0725473 | − | 0.997365i | ||||
\(730\) | 14.2325 | + | 8.21714i | 0.526768 | + | 0.304130i | ||||
\(731\) | 3.36961 | 0.124630 | ||||||||
\(732\) | 5.47235 | + | 19.4772i | 0.202264 | + | 0.719896i | ||||
\(733\) | −17.7435 | − | 30.7327i | −0.655373 | − | 1.13514i | −0.981800 | − | 0.189917i | \(-0.939178\pi\) |
0.326428 | − | 0.945222i | \(-0.394155\pi\) | |||||||
\(734\) | −13.6561 | − | 7.88437i | −0.504057 | − | 0.291017i | ||||
\(735\) | −22.2516 | + | 0.591061i | −0.820763 | + | 0.0218016i | ||||
\(736\) | 2.47560i | 0.0912519i | ||||||||
\(737\) | 33.6804i | 1.24063i | ||||||||
\(738\) | −7.21944 | + | 13.2341i | −0.265751 | + | 0.487154i | ||||
\(739\) | − | 6.23954i | − | 0.229525i | −0.993393 | − | 0.114763i | \(-0.963389\pi\) | ||
0.993393 | − | 0.114763i | \(-0.0366108\pi\) | |||||||
\(740\) | 0.462574 | + | 0.801202i | 0.0170046 | + | 0.0294528i | ||||
\(741\) | 9.11075 | − | 8.83002i | 0.334692 | − | 0.324379i | ||||
\(742\) | −6.68155 | + | 16.4663i | −0.245287 | + | 0.604497i | ||||
\(743\) | 21.5450 | + | 37.3170i | 0.790408 | + | 1.36903i | 0.925714 | + | 0.378223i | \(0.123465\pi\) |
−0.135306 | + | 0.990804i | \(0.543202\pi\) | |||||||
\(744\) | −7.79246 | − | 7.60610i | −0.285685 | − | 0.278853i | ||||
\(745\) | −34.5221 | + | 19.9314i | −1.26479 | + | 0.730229i | ||||
\(746\) | 3.62253 | − | 6.27441i | 0.132630 | − | 0.229723i | ||||
\(747\) | 18.7904 | − | 34.4451i | 0.687504 | − | 1.26028i | ||||
\(748\) | 5.40264 | − | 9.35765i | 0.197540 | − | 0.342150i | ||||
\(749\) | 35.0393 | − | 4.87088i | 1.28031 | − | 0.177978i | ||||
\(750\) | −14.7249 | + | 15.0857i | −0.537679 | + | 0.550853i | ||||
\(751\) | 15.6943 | − | 27.1834i | 0.572695 | − | 0.991937i | −0.423593 | − | 0.905853i | \(-0.639231\pi\) |
0.996288 | − | 0.0860840i | \(-0.0274353\pi\) | |||||||
\(752\) | 11.6598i | 0.425190i | ||||||||
\(753\) | −11.7898 | − | 11.5078i | −0.429644 | − | 0.419368i | ||||
\(754\) | 3.96613 | − | 6.44940i | 0.144438 | − | 0.234873i | ||||
\(755\) | 9.95736 | 0.362385 | ||||||||
\(756\) | 12.4603 | − | 5.80879i | 0.453175 | − | 0.211264i | ||||
\(757\) | 6.13845 | + | 10.6321i | 0.223106 | + | 0.386430i | 0.955749 | − | 0.294182i | \(-0.0950472\pi\) |
−0.732644 | + | 0.680612i | \(0.761714\pi\) | |||||||
\(758\) | 4.89839i | 0.177918i | ||||||||
\(759\) | −10.1607 | + | 10.4097i | −0.368811 | + | 0.377848i | ||||
\(760\) | −3.23023 | + | 1.86497i | −0.117173 | + | 0.0676497i | ||||
\(761\) | − | 16.9601i | − | 0.614801i | −0.951580 | − | 0.307401i | \(-0.900541\pi\) | ||
0.951580 | − | 0.307401i | \(-0.0994592\pi\) | |||||||
\(762\) | 0.407452 | − | 1.59773i | 0.0147604 | − | 0.0578796i | ||||
\(763\) | −11.5883 | + | 1.61091i | −0.419524 | + | 0.0583189i | ||||
\(764\) | 17.4751 | − | 10.0893i | 0.632228 | − | 0.365017i | ||||
\(765\) | −9.13642 | − | 14.9756i | −0.330328 | − | 0.541445i | ||||
\(766\) | −6.85462 | − | 3.95752i | −0.247668 | − | 0.142991i | ||||
\(767\) | 22.3780 | + | 0.621114i | 0.808022 | + | 0.0224271i | ||||
\(768\) | −1.66749 | + | 0.468501i | −0.0601702 | + | 0.0169056i | ||||
\(769\) | −18.2706 | − | 31.6457i | −0.658856 | − | 1.14117i | −0.980912 | − | 0.194451i | \(-0.937707\pi\) |
0.322056 | − | 0.946720i | \(-0.395626\pi\) | |||||||
\(770\) | 10.1258 | + | 13.0006i | 0.364910 | + | 0.468509i | ||||
\(771\) | 6.52427 | + | 6.36824i | 0.234966 | + | 0.229347i | ||||
\(772\) | −3.93413 | + | 2.27137i | −0.141593 | + | 0.0817485i | ||||
\(773\) | 0.840536 | − | 0.485284i | 0.0302320 | − | 0.0174545i | −0.484808 | − | 0.874621i | \(-0.661110\pi\) |
0.515040 | + | 0.857166i | \(0.327777\pi\) | |||||||
\(774\) | −0.0768109 | − | 3.17290i | −0.00276091 | − | 0.114048i | ||||
\(775\) | 5.12183 | + | 8.87127i | 0.183982 | + | 0.318666i | ||||
\(776\) | 4.79907 | − | 8.31223i | 0.172276 | − | 0.298392i | ||||
\(777\) | −0.257107 | + | 2.29486i | −0.00922366 | + | 0.0823277i | ||||
\(778\) | 2.27718 | − | 1.31473i | 0.0816408 | − | 0.0471354i | ||||
\(779\) | 8.84137 | − | 5.10457i | 0.316775 | − | 0.182890i | ||||
\(780\) | 11.1198 | − | 2.79382i | 0.398152 | − | 0.100035i | ||||
\(781\) | −26.3607 | + | 45.6580i | −0.943259 | + | 1.63377i | ||||
\(782\) | 6.82856 | + | 3.94247i | 0.244189 | + | 0.140982i | ||||
\(783\) | −2.43966 | + | 10.6352i | −0.0871865 | + | 0.380071i | ||||
\(784\) | 5.02077 | + | 4.87769i | 0.179313 | + | 0.174203i | ||||
\(785\) | 39.0540 | 1.39390 | ||||||||
\(786\) | −4.24379 | + | 16.6410i | −0.151371 | + | 0.593566i | ||||
\(787\) | 11.7542 | + | 20.3588i | 0.418990 | + | 0.725713i | 0.995838 | − | 0.0911389i | \(-0.0290507\pi\) |
−0.576848 | + | 0.816852i | \(0.695717\pi\) | |||||||
\(788\) | 5.74363 | − | 9.94826i | 0.204608 | − | 0.354392i | ||||
\(789\) | −18.2100 | − | 4.64391i | −0.648293 | − | 0.165328i | ||||
\(790\) | −12.4780 | + | 7.20417i | −0.443947 | + | 0.256313i | ||||
\(791\) | −41.8761 | + | 5.82129i | −1.48894 | + | 0.206981i | ||||
\(792\) | −8.93452 | − | 4.87394i | −0.317474 | − | 0.173188i | ||||
\(793\) | −22.0612 | + | 35.8742i | −0.783418 | + | 1.27393i | ||||
\(794\) | 16.5529 | − | 28.6705i | 0.587440 | − | 1.01748i | ||||
\(795\) | 5.27780 | − | 20.6956i | 0.187184 | − | 0.733999i | ||||
\(796\) | −5.94498 | − | 3.43234i | −0.210714 | − | 0.121656i | ||||
\(797\) | 21.5529 | − | 37.3307i | 0.763443 | − | 1.32232i | −0.177623 | − | 0.984099i | \(-0.556841\pi\) |
0.941066 | − | 0.338224i | \(-0.109826\pi\) | |||||||
\(798\) | −9.25226 | − | 1.03658i | −0.327526 | − | 0.0366947i | ||||
\(799\) | 32.1618 | + | 18.5686i | 1.13780 | + | 0.656911i | ||||
\(800\) | 1.62937 | 0.0576068 | ||||||||
\(801\) | −8.33346 | − | 13.6595i | −0.294448 | − | 0.482634i | ||||
\(802\) | −3.49869 | − | 6.05991i | −0.123543 | − | 0.213983i | ||||
\(803\) | 15.1839 | − | 26.2993i | 0.535828 | − | 0.928082i | ||||
\(804\) | −4.65125 | − | 16.5547i | −0.164037 | − | 0.583839i | ||||
\(805\) | −9.48693 | + | 7.38912i | −0.334370 | + | 0.260432i | ||||
\(806\) | 0.628914 | − | 22.6590i | 0.0221525 | − | 0.798129i | ||||
\(807\) | −30.2011 | + | 8.48538i | −1.06313 | + | 0.298699i | ||||
\(808\) | 9.39069 | 0.330363 | ||||||||
\(809\) | − | 23.2160i | − | 0.816230i | −0.912930 | − | 0.408115i | \(-0.866186\pi\) | ||
0.912930 | − | 0.408115i | \(-0.133814\pi\) | |||||||
\(810\) | −13.8931 | + | 8.94442i | −0.488154 | + | 0.314275i | ||||
\(811\) | −14.3001 | −0.502145 | −0.251072 | − | 0.967968i | \(-0.580783\pi\) | ||||
−0.251072 | + | 0.967968i | \(0.580783\pi\) | |||||||
\(812\) | −5.50292 | + | 0.764972i | −0.193115 | + | 0.0268453i | ||||
\(813\) | −10.7503 | − | 10.4932i | −0.377031 | − | 0.368014i | ||||
\(814\) | 1.48049 | − | 0.854760i | 0.0518911 | − | 0.0299593i | ||||
\(815\) | 9.19684 | + | 15.9294i | 0.322151 | + | 0.557982i | ||||
\(816\) | −1.36323 | + | 5.34560i | −0.0477227 | + | 0.187133i | ||||
\(817\) | −1.07468 | + | 1.86140i | −0.0375983 | + | 0.0651222i | ||||
\(818\) | 31.8405 | 1.11328 | ||||||||
\(819\) | 26.4799 | + | 10.8543i | 0.925283 | + | 0.379279i | ||||
\(820\) | 9.22567 | 0.322174 | ||||||||
\(821\) | 6.02169 | − | 10.4299i | 0.210158 | − | 0.364005i | −0.741606 | − | 0.670836i | \(-0.765935\pi\) |
0.951764 | + | 0.306831i | \(0.0992687\pi\) | |||||||
\(822\) | 1.36238 | − | 5.34226i | 0.0475185 | − | 0.186333i | ||||
\(823\) | 18.7328 | + | 32.4461i | 0.652983 | + | 1.13100i | 0.982395 | + | 0.186814i | \(0.0598162\pi\) |
−0.329412 | + | 0.944186i | \(0.606851\pi\) | |||||||
\(824\) | −11.5646 | + | 6.67680i | −0.402870 | + | 0.232597i | ||||
\(825\) | 6.85135 | + | 6.68749i | 0.238533 | + | 0.232829i | ||||
\(826\) | −10.0942 | − | 12.9600i | −0.351223 | − | 0.450937i | ||||
\(827\) | 12.7766 | 0.444287 | 0.222144 | − | 0.975014i | \(-0.428695\pi\) | ||||
0.222144 | + | 0.975014i | \(0.428695\pi\) | |||||||
\(828\) | 3.55666 | − | 6.51979i | 0.123602 | − | 0.226578i | ||||
\(829\) | − | 33.7625i | − | 1.17262i | −0.810086 | − | 0.586311i | \(-0.800580\pi\) | ||
0.810086 | − | 0.586311i | \(-0.199420\pi\) | |||||||
\(830\) | −24.0121 | −0.833472 | ||||||||
\(831\) | 30.4875 | − | 8.56585i | 1.05760 | − | 0.297146i | ||||
\(832\) | −3.07128 | − | 1.88872i | −0.106477 | − | 0.0654794i | ||||
\(833\) | 21.4501 | − | 6.08115i | 0.743201 | − | 0.210699i | ||||
\(834\) | −0.0531068 | − | 0.189017i | −0.00183894 | − | 0.00654514i | ||||
\(835\) | −3.30307 | + | 5.72108i | −0.114307 | + | 0.197986i | ||||
\(836\) | 3.44616 | + | 5.96893i | 0.119188 | + | 0.206440i | ||||
\(837\) | 9.59480 | + | 31.2269i | 0.331645 | + | 1.07936i | ||||
\(838\) | 10.3947 | 0.359078 | ||||||||
\(839\) | 30.8994 | + | 17.8398i | 1.06677 | + | 0.615897i | 0.927296 | − | 0.374329i | \(-0.122127\pi\) |
0.139469 | + | 0.990226i | \(0.455460\pi\) | |||||||
\(840\) | −6.77245 | − | 4.99172i | −0.233672 | − | 0.172231i | ||||
\(841\) | −12.2952 | + | 21.2959i | −0.423972 | + | 0.734341i | ||||
\(842\) | −0.0965530 | − | 0.0557449i | −0.00332744 | − | 0.00192110i | ||||
\(843\) | −1.17180 | + | 4.59493i | −0.0403588 | + | 0.158258i | ||||
\(844\) | −2.63957 | + | 4.57187i | −0.0908577 | + | 0.157370i | ||||
\(845\) | 19.9757 | + | 13.0617i | 0.687186 | + | 0.449335i | ||||
\(846\) | 16.7515 | − | 30.7075i | 0.575928 | − | 1.05575i | ||||
\(847\) | 1.06243 | − | 0.827499i | 0.0365055 | − | 0.0284332i | ||||
\(848\) | −5.81668 | + | 3.35826i | −0.199746 | + | 0.115323i | ||||
\(849\) | 8.91554 | + | 2.27364i | 0.305980 | + | 0.0780311i | ||||
\(850\) | 2.59482 | − | 4.49435i | 0.0890014 | − | 0.154155i | ||||
\(851\) | 0.623744 | + | 1.08036i | 0.0213817 | + | 0.0370341i | ||||
\(852\) | 6.65151 | − | 26.0823i | 0.227877 | − | 0.893566i | ||||
\(853\) | −50.6470 | −1.73412 | −0.867061 | − | 0.498202i | \(-0.833994\pi\) | ||||
−0.867061 | + | 0.498202i | \(0.833994\pi\) | |||||||
\(854\) | 30.6095 | − | 4.25509i | 1.04744 | − | 0.145606i | ||||
\(855\) | 11.1866 | − | 0.270809i | 0.382572 | − | 0.00926147i | ||||
\(856\) | 11.5796 | + | 6.68547i | 0.395782 | + | 0.228505i | ||||
\(857\) | 7.48332 | − | 12.9615i | 0.255625 | − | 0.442756i | −0.709440 | − | 0.704766i | \(-0.751052\pi\) |
0.965065 | + | 0.262010i | \(0.0843854\pi\) | |||||||
\(858\) | −5.16251 | − | 20.5475i | −0.176245 | − | 0.701480i | ||||
\(859\) | 42.5746 | − | 24.5804i | 1.45263 | − | 0.838674i | 0.453995 | − | 0.891004i | \(-0.349998\pi\) |
0.998630 | + | 0.0523306i | \(0.0166650\pi\) | |||||||
\(860\) | −1.68209 | + | 0.971154i | −0.0573587 | + | 0.0331161i | ||||
\(861\) | 18.5367 | + | 13.6627i | 0.631729 | + | 0.465623i | ||||
\(862\) | 19.3138 | − | 33.4525i | 0.657830 | − | 1.13940i | ||||
\(863\) | −25.6886 | − | 44.4940i | −0.874451 | − | 1.51459i | −0.857346 | − | 0.514741i | \(-0.827888\pi\) |
−0.0171055 | − | 0.999854i | \(-0.505445\pi\) | |||||||
\(864\) | 5.06461 | + | 1.16180i | 0.172301 | + | 0.0395251i | ||||
\(865\) | −1.51621 | + | 0.875383i | −0.0515526 | + | 0.0297639i | ||||
\(866\) | −5.30602 | + | 3.06343i | −0.180306 | + | 0.104100i | ||||
\(867\) | −8.49710 | − | 8.29389i | −0.288577 | − | 0.281675i | ||||
\(868\) | −13.1228 | + | 10.2210i | −0.445416 | + | 0.346923i | ||||
\(869\) | 13.3121 | + | 23.0573i | 0.451582 | + | 0.782164i | ||||
\(870\) | 6.42862 | − | 1.80620i | 0.217951 | − | 0.0612360i | ||||
\(871\) | 18.7510 | − | 30.4915i | 0.635355 | − | 1.03316i | ||||
\(872\) | −3.82963 | − | 2.21104i | −0.129688 | − | 0.0748752i | ||||
\(873\) | −24.5810 | + | 14.9965i | −0.831939 | + | 0.507554i | ||||
\(874\) | −4.35570 | + | 2.51477i | −0.147334 | + | 0.0850632i | ||||
\(875\) | 19.7872 | + | 25.4049i | 0.668929 | + | 0.858841i | ||||
\(876\) | −3.83131 | + | 15.0236i | −0.129448 | + | 0.507600i | ||||
\(877\) | − | 47.4326i | − | 1.60169i | −0.598875 | − | 0.800843i | \(-0.704385\pi\) | ||
0.598875 | − | 0.800843i | \(-0.295615\pi\) | |||||||
\(878\) | −30.2778 | + | 17.4809i | −1.02183 | + | 0.589952i | ||||
\(879\) | 4.00766 | − | 4.10585i | 0.135175 | − | 0.138487i | ||||
\(880\) | 6.22837i | 0.209958i | ||||||||
\(881\) | 5.06534 | + | 8.77342i | 0.170656 | + | 0.295584i | 0.938649 | − | 0.344873i | \(-0.112078\pi\) |
−0.767994 | + | 0.640457i | \(0.778745\pi\) | |||||||
\(882\) | −6.21510 | − | 20.0592i | −0.209273 | − | 0.675429i | ||||
\(883\) | −12.1164 | −0.407751 | −0.203875 | − | 0.978997i | \(-0.565354\pi\) | ||||
−0.203875 | + | 0.978997i | \(0.565354\pi\) | |||||||
\(884\) | −10.1008 | + | 5.46380i | −0.339728 | + | 0.183768i | ||||
\(885\) | 14.1290 | + | 13.7911i | 0.474940 | + | 0.463582i | ||||
\(886\) | − | 8.96913i | − | 0.301324i | ||||||
\(887\) | −2.02991 | + | 3.51590i | −0.0681576 | + | 0.118052i | −0.898090 | − | 0.439811i | \(-0.855045\pi\) |
0.829933 | + | 0.557864i | \(0.188379\pi\) | |||||||
\(888\) | −0.609651 | + | 0.624589i | −0.0204586 | + | 0.0209598i | ||||
\(889\) | −2.33386 | − | 0.947016i | −0.0782753 | − | 0.0317619i | ||||
\(890\) | −4.89608 | + | 8.48026i | −0.164117 | + | 0.284259i | ||||
\(891\) | 16.5278 | + | 25.6722i | 0.553702 | + | 0.860050i | ||||
\(892\) | 14.2982 | − | 24.7653i | 0.478741 | − | 0.829203i | ||||
\(893\) | −20.5149 | + | 11.8443i | −0.686505 | + | 0.396354i | ||||
\(894\) | −26.9122 | − | 26.2686i | −0.900079 | − | 0.878554i | ||||
\(895\) | −16.3013 | − | 28.2346i | −0.544891 | − | 0.943779i | ||||
\(896\) | 0.364289 | + | 2.62055i | 0.0121700 | + | 0.0875465i | ||||
\(897\) | 14.9941 | − | 3.76724i | 0.500639 | − | 0.125784i | ||||
\(898\) | −9.32220 | − | 16.1465i | −0.311086 | − | 0.538817i | ||||
\(899\) | − | 13.2019i | − | 0.440308i | ||||||
\(900\) | −4.29113 | − | 2.34089i | −0.143038 | − | 0.0780295i | ||||
\(901\) | 21.3925i | 0.712689i | ||||||||
\(902\) | − | 17.0475i | − | 0.567620i | ||||||
\(903\) | −4.81796 | − | 0.539784i | −0.160332 | − | 0.0179629i | ||||
\(904\) | −13.8390 | − | 7.98994i | −0.460278 | − | 0.265742i | ||||
\(905\) | 5.06316 | + | 8.76966i | 0.168305 | + | 0.291513i | ||||
\(906\) | 2.54097 | + | 9.04379i | 0.0844180 | + | 0.300460i | ||||
\(907\) | −13.3755 | −0.444126 | −0.222063 | − | 0.975032i | \(-0.571279\pi\) | ||||
−0.222063 | + | 0.975032i | \(0.571279\pi\) | |||||||
\(908\) | −5.20466 | − | 3.00491i | −0.172723 | − | 0.0997215i | ||||
\(909\) | −24.7315 | − | 13.4915i | −0.820292 | − | 0.447483i | ||||
\(910\) | −1.92921 | − | 17.4071i | −0.0639526 | − | 0.577038i | ||||
\(911\) | 21.8063i | 0.722475i | 0.932474 | + | 0.361238i | \(0.117646\pi\) | ||||
−0.932474 | + | 0.361238i | \(0.882354\pi\) | |||||||
\(912\) | −2.51817 | − | 2.45795i | −0.0833850 | − | 0.0813908i | ||||
\(913\) | 44.3704i | 1.46845i | ||||||||
\(914\) | 24.6765 | − | 14.2470i | 0.816225 | − | 0.471248i | ||||
\(915\) | −35.7587 | + | 10.0468i | −1.18214 | + | 0.332139i | ||||
\(916\) | 7.02836 | − | 12.1735i | 0.232224 | − | 0.402223i | ||||
\(917\) | 24.3082 | + | 9.86357i | 0.802727 | + | 0.325724i | ||||
\(918\) | 11.2702 | − | 12.1197i | 0.371971 | − | 0.400010i | ||||
\(919\) | 9.13726 | 0.301410 | 0.150705 | − | 0.988579i | \(-0.451846\pi\) | ||||
0.150705 | + | 0.988579i | \(0.451846\pi\) | |||||||
\(920\) | −4.54503 | −0.149845 | ||||||||
\(921\) | −10.2214 | + | 40.0809i | −0.336807 | + | 1.32071i | ||||
\(922\) | 10.2455 | − | 5.91523i | 0.337417 | − | 0.194808i | ||||
\(923\) | 49.2842 | − | 26.6591i | 1.62221 | − | 0.877495i | ||||
\(924\) | −9.22386 | + | 12.5144i | −0.303443 | + | 0.411692i | ||||
\(925\) | 0.711059 | − | 0.410530i | 0.0233795 | − | 0.0134981i | ||||
\(926\) | 9.49589 | + | 5.48245i | 0.312054 | + | 0.180165i | ||||
\(927\) | 40.0491 | − | 0.969524i | 1.31538 | − | 0.0318433i | ||||
\(928\) | −1.81857 | − | 1.04995i | −0.0596976 | − | 0.0344664i | ||||
\(929\) | 13.5735i | 0.445331i | 0.974895 | + | 0.222665i | \(0.0714758\pi\) | ||||
−0.974895 | + | 0.222665i | \(0.928524\pi\) | |||||||
\(930\) | 13.9643 | − | 14.3064i | 0.457906 | − | 0.469125i | ||||
\(931\) | −3.48185 | + | 13.7887i | −0.114113 | + | 0.451905i | ||||
\(932\) | −24.0450 | − | 13.8824i | −0.787620 | − | 0.454732i | ||||
\(933\) | −39.2548 | − | 38.3160i | −1.28515 | − | 1.25441i | ||||
\(934\) | −20.0577 | −0.656308 | ||||||||
\(935\) | 17.1800 | + | 9.91886i | 0.561845 | + | 0.324382i | ||||
\(936\) | 5.37509 | + | 9.38661i | 0.175690 | + | 0.306811i | ||||
\(937\) | 0.647634i | 0.0211573i | 0.999944 | + | 0.0105786i | \(0.00336735\pi\) | ||||
−0.999944 | + | 0.0105786i | \(0.996633\pi\) | |||||||
\(938\) | −26.0167 | + | 3.61664i | −0.849475 | + | 0.118087i | ||||
\(939\) | −6.76663 | − | 24.0837i | −0.220821 | − | 0.785943i | ||||
\(940\) | −21.4066 | −0.698207 | ||||||||
\(941\) | −43.1576 | − | 24.9171i | −1.40690 | − | 0.812273i | −0.411810 | − | 0.911270i | \(-0.635103\pi\) |
−0.995088 | + | 0.0989966i | \(0.968437\pi\) | |||||||
\(942\) | 9.96599 | + | 35.4709i | 0.324709 | + | 1.15570i | ||||
\(943\) | 12.4401 | 0.405105 | ||||||||
\(944\) | − | 6.20893i | − | 0.202083i | ||||||
\(945\) | 10.6645 | + | 22.8761i | 0.346917 | + | 0.744161i | ||||
\(946\) | 1.79453 | + | 3.10822i | 0.0583452 | + | 0.101057i | ||||
\(947\) | −5.43523 | + | 9.41410i | −0.176621 | + | 0.305917i | −0.940721 | − | 0.339181i | \(-0.889850\pi\) |
0.764100 | + | 0.645098i | \(0.223183\pi\) | |||||||
\(948\) | −9.72740 | − | 9.49476i | −0.315931 | − | 0.308375i | ||||
\(949\) | −28.3880 | + | 15.3558i | −0.921512 | + | 0.498470i | ||||
\(950\) | 1.65514 | + | 2.86679i | 0.0537000 | + | 0.0930111i | ||||
\(951\) | 42.6671 | − | 11.9879i | 1.38357 | − | 0.388733i | ||||
\(952\) | 7.80852 | + | 3.16847i | 0.253076 | + | 0.102691i | ||||
\(953\) | 26.6142 | + | 15.3657i | 0.862119 | + | 0.497744i | 0.864721 | − | 0.502252i | \(-0.167495\pi\) |
−0.00260249 | + | 0.999997i | \(0.500828\pi\) | |||||||
\(954\) | 20.1437 | − | 0.487646i | 0.652176 | − | 0.0157881i | ||||
\(955\) | 18.5232 | + | 32.0831i | 0.599396 | + | 1.03818i | ||||
\(956\) | −2.65674 | − | 4.60160i | −0.0859250 | − | 0.148826i | ||||
\(957\) | −3.33756 | − | 11.8790i | −0.107888 | − | 0.383994i | ||||
\(958\) | 26.6476 | + | 15.3850i | 0.860943 | + | 0.497066i | ||||
\(959\) | −7.80364 | − | 3.16649i | −0.251993 | − | 0.102251i | ||||
\(960\) | −0.860135 | − | 3.06138i | −0.0277607 | − | 0.0988057i | ||||
\(961\) | −4.26254 | − | 7.38293i | −0.137501 | − | 0.238159i | ||||
\(962\) | −1.81619 | − | 0.0504093i | −0.0585562 | − | 0.00162526i | ||||
\(963\) | −20.8913 | − | 34.2432i | −0.673212 | − | 1.10347i | ||||
\(964\) | −9.62885 | + | 16.6777i | −0.310124 | + | 0.537151i | ||||
\(965\) | −4.17008 | − | 7.22278i | −0.134240 | − | 0.232510i | ||||
\(966\) | −9.13210 | − | 6.73093i | −0.293821 | − | 0.216564i | ||||
\(967\) | 25.4787i | 0.819341i | 0.912234 | + | 0.409671i | \(0.134356\pi\) | ||||
−0.912234 | + | 0.409671i | \(0.865644\pi\) | |||||||
\(968\) | 0.508993 | 0.0163596 | ||||||||
\(969\) | −10.7901 | + | 3.03162i | −0.346629 | + | 0.0973897i | ||||
\(970\) | 15.2607 | + | 8.81074i | 0.489990 | + | 0.282896i | ||||
\(971\) | −19.1478 | −0.614483 | −0.307241 | − | 0.951632i | \(-0.599406\pi\) | ||||
−0.307241 | + | 0.951632i | \(0.599406\pi\) | |||||||
\(972\) | −11.6691 | − | 10.3360i | −0.374287 | − | 0.331526i | ||||
\(973\) | −0.297052 | + | 0.0412939i | −0.00952305 | + | 0.00132382i | ||||
\(974\) | 35.8831i | 1.14977i | ||||||||
\(975\) | −2.47948 | − | 9.86868i | −0.0794071 | − | 0.316051i | ||||
\(976\) | 10.1157 | + | 5.84028i | 0.323794 | + | 0.186943i | ||||
\(977\) | −2.86774 | −0.0917472 | −0.0458736 | − | 0.998947i | \(-0.514607\pi\) | ||||
−0.0458736 | + | 0.998947i | \(0.514607\pi\) | |||||||
\(978\) | −12.1210 | + | 12.4180i | −0.387587 | + | 0.397083i | ||||
\(979\) | 15.6701 | + | 9.04714i | 0.500819 | + | 0.289148i | ||||
\(980\) | −8.95508 | + | 9.21778i | −0.286060 | + | 0.294451i | ||||
\(981\) | 6.90922 | + | 11.3250i | 0.220594 | + | 0.361579i | ||||
\(982\) | − | 37.3412i | − | 1.19160i | ||||||
\(983\) | 39.2792 | + | 22.6779i | 1.25281 | + | 0.723312i | 0.971667 | − | 0.236353i | \(-0.0759521\pi\) |
0.281146 | + | 0.959665i | \(0.409285\pi\) | |||||||
\(984\) | 2.35425 | + | 8.37923i | 0.0750508 | + | 0.267120i | ||||
\(985\) | 18.2643 | + | 10.5449i | 0.581949 | + | 0.335988i | ||||
\(986\) | −5.79226 | + | 3.34416i | −0.184463 | + | 0.106500i | ||||
\(987\) | −43.0113 | − | 31.7020i | −1.36906 | − | 1.00909i | ||||
\(988\) | 0.203236 | − | 7.32236i | 0.00646581 | − | 0.232955i | ||||
\(989\) | −2.26816 | + | 1.30952i | −0.0721233 | + | 0.0416404i | ||||
\(990\) | 8.94820 | − | 16.4031i | 0.284392 | − | 0.521326i | ||||
\(991\) | 26.2568 | 0.834074 | 0.417037 | − | 0.908890i | \(-0.363069\pi\) | ||||
0.417037 | + | 0.908890i | \(0.363069\pi\) | |||||||
\(992\) | −6.28690 | −0.199609 | ||||||||
\(993\) | 14.0571 | + | 3.58484i | 0.446089 | + | 0.113762i | ||||
\(994\) | −38.0995 | − | 15.4597i | −1.20844 | − | 0.490351i | ||||
\(995\) | 6.30153 | − | 10.9146i | 0.199772 | − | 0.346015i | ||||
\(996\) | −6.12753 | − | 21.8090i | −0.194158 | − | 0.691046i | ||||
\(997\) | 21.8672 | − | 12.6250i | 0.692542 | − | 0.399839i | −0.112022 | − | 0.993706i | \(-0.535733\pi\) |
0.804563 | + | 0.593867i | \(0.202399\pi\) | |||||||
\(998\) | − | 22.0778i | − | 0.698860i | ||||||
\(999\) | 2.50292 | − | 0.769051i | 0.0791890 | − | 0.0243317i |
(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.101.9 | yes | 34 | |
3.2 | odd | 2 | 546.2.bn.f.101.9 | yes | 34 | ||
7.5 | odd | 6 | 546.2.bi.f.257.4 | yes | 34 | ||
13.4 | even | 6 | 546.2.bi.e.17.1 | ✓ | 34 | ||
21.5 | even | 6 | 546.2.bi.e.257.1 | yes | 34 | ||
39.17 | odd | 6 | 546.2.bi.f.17.4 | yes | 34 | ||
91.82 | odd | 6 | 546.2.bn.f.173.9 | yes | 34 | ||
273.173 | even | 6 | inner | 546.2.bn.e.173.9 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bi.e.17.1 | ✓ | 34 | 13.4 | even | 6 | ||
546.2.bi.e.257.1 | yes | 34 | 21.5 | even | 6 | ||
546.2.bi.f.17.4 | yes | 34 | 39.17 | odd | 6 | ||
546.2.bi.f.257.4 | yes | 34 | 7.5 | odd | 6 | ||
546.2.bn.e.101.9 | yes | 34 | 1.1 | even | 1 | trivial | |
546.2.bn.e.173.9 | yes | 34 | 273.173 | even | 6 | inner | |
546.2.bn.f.101.9 | yes | 34 | 3.2 | odd | 2 | ||
546.2.bn.f.173.9 | yes | 34 | 91.82 | odd | 6 |