Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(25,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.w (of order \(9\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.9 | ||
Character | \(\chi\) | \(=\) | 189.25 |
Dual form | 189.2.w.a.121.9 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.606828 | + | 0.220867i | −0.429092 | + | 0.156177i | −0.547533 | − | 0.836784i | \(-0.684433\pi\) |
0.118440 | + | 0.992961i | \(0.462211\pi\) | |||||||
\(3\) | 1.44289 | + | 0.958162i | 0.833052 | + | 0.553195i | ||||
\(4\) | −1.21263 | + | 1.01752i | −0.606315 | + | 0.508759i | ||||
\(5\) | 1.46866 | + | 0.534550i | 0.656806 | + | 0.239058i | 0.648857 | − | 0.760911i | \(-0.275247\pi\) |
0.00794934 | + | 0.999968i | \(0.497470\pi\) | |||||||
\(6\) | −1.08721 | − | 0.262753i | −0.443852 | − | 0.107268i | ||||
\(7\) | 1.88474 | − | 1.85681i | 0.712366 | − | 0.701809i | ||||
\(8\) | 1.15690 | − | 2.00380i | 0.409024 | − | 0.708451i | ||||
\(9\) | 1.16385 | + | 2.76504i | 0.387950 | + | 0.921680i | ||||
\(10\) | −1.00929 | −0.319166 | ||||||||
\(11\) | −3.65044 | + | 1.32865i | −1.10065 | + | 0.400603i | −0.827555 | − | 0.561385i | \(-0.810269\pi\) |
−0.273093 | + | 0.961988i | \(0.588047\pi\) | |||||||
\(12\) | −2.72464 | + | 0.306267i | −0.786535 | + | 0.0884118i | ||||
\(13\) | 0.906129 | + | 5.13891i | 0.251315 | + | 1.42528i | 0.805357 | + | 0.592790i | \(0.201973\pi\) |
−0.554042 | + | 0.832489i | \(0.686915\pi\) | |||||||
\(14\) | −0.733606 | + | 1.54304i | −0.196064 | + | 0.412396i | ||||
\(15\) | 1.60693 | + | 2.17851i | 0.414908 | + | 0.562490i | ||||
\(16\) | 0.290300 | − | 1.64637i | 0.0725750 | − | 0.411593i | ||||
\(17\) | −3.65214 | −0.885774 | −0.442887 | − | 0.896577i | \(-0.646046\pi\) | ||||
−0.442887 | + | 0.896577i | \(0.646046\pi\) | |||||||
\(18\) | −1.31696 | − | 1.42085i | −0.310412 | − | 0.334897i | ||||
\(19\) | 4.99947 | 1.14696 | 0.573478 | − | 0.819221i | \(-0.305594\pi\) | ||||
0.573478 | + | 0.819221i | \(0.305594\pi\) | |||||||
\(20\) | −2.32486 | + | 0.846180i | −0.519855 | + | 0.189212i | ||||
\(21\) | 4.49860 | − | 0.873281i | 0.981674 | − | 0.190566i | ||||
\(22\) | 1.92173 | − | 1.61252i | 0.409715 | − | 0.343791i | ||||
\(23\) | −1.04704 | − | 5.93806i | −0.218323 | − | 1.23817i | −0.875046 | − | 0.484040i | \(-0.839169\pi\) |
0.656723 | − | 0.754132i | \(-0.271942\pi\) | |||||||
\(24\) | 3.58924 | − | 1.78277i | 0.732650 | − | 0.363906i | ||||
\(25\) | −1.95899 | − | 1.64379i | −0.391799 | − | 0.328758i | ||||
\(26\) | −1.68488 | − | 2.91830i | −0.330433 | − | 0.572326i | ||||
\(27\) | −0.970052 | + | 5.10480i | −0.186687 | + | 0.982420i | ||||
\(28\) | −0.396158 | + | 4.16939i | −0.0748668 | + | 0.787940i | ||||
\(29\) | 0.306444 | − | 1.73793i | 0.0569053 | − | 0.322726i | −0.943045 | − | 0.332664i | \(-0.892052\pi\) |
0.999951 | + | 0.00993839i | \(0.00316354\pi\) | |||||||
\(30\) | −1.45629 | − | 0.967064i | −0.265882 | − | 0.176561i | ||||
\(31\) | 7.06629 | − | 5.92932i | 1.26914 | − | 1.06494i | 0.274498 | − | 0.961588i | \(-0.411488\pi\) |
0.994645 | − | 0.103350i | \(-0.0329561\pi\) | |||||||
\(32\) | 0.991039 | + | 5.62046i | 0.175193 | + | 0.993566i | ||||
\(33\) | −6.54023 | − | 1.58062i | −1.13851 | − | 0.275150i | ||||
\(34\) | 2.21622 | − | 0.806639i | 0.380079 | − | 0.138337i | ||||
\(35\) | 3.76061 | − | 1.71954i | 0.635659 | − | 0.290656i | ||||
\(36\) | −4.22480 | − | 2.16873i | −0.704133 | − | 0.361456i | ||||
\(37\) | −1.10414 | + | 1.91243i | −0.181520 | + | 0.314401i | −0.942398 | − | 0.334493i | \(-0.891435\pi\) |
0.760879 | + | 0.648894i | \(0.224768\pi\) | |||||||
\(38\) | −3.03382 | + | 1.10422i | −0.492150 | + | 0.179128i | ||||
\(39\) | −3.61647 | + | 8.28309i | −0.579099 | + | 1.32636i | ||||
\(40\) | 2.77022 | − | 2.32449i | 0.438010 | − | 0.367534i | ||||
\(41\) | −0.827927 | − | 4.69541i | −0.129300 | − | 0.733300i | −0.978660 | − | 0.205485i | \(-0.934123\pi\) |
0.849360 | − | 0.527814i | \(-0.176988\pi\) | |||||||
\(42\) | −2.53700 | + | 1.52353i | −0.391467 | + | 0.235085i | ||||
\(43\) | −0.458222 | − | 0.384494i | −0.0698781 | − | 0.0586347i | 0.607180 | − | 0.794565i | \(-0.292301\pi\) |
−0.677058 | + | 0.735930i | \(0.736745\pi\) | |||||||
\(44\) | 3.07471 | − | 5.32555i | 0.463529 | − | 0.802856i | ||||
\(45\) | 0.231253 | + | 4.68305i | 0.0344731 | + | 0.698108i | ||||
\(46\) | 1.94690 | + | 3.37213i | 0.287055 | + | 0.497193i | ||||
\(47\) | −6.08797 | − | 5.10841i | −0.888022 | − | 0.745139i | 0.0797905 | − | 0.996812i | \(-0.474575\pi\) |
−0.967812 | + | 0.251673i | \(0.919019\pi\) | |||||||
\(48\) | 1.99636 | − | 2.09738i | 0.288150 | − | 0.302730i | ||||
\(49\) | 0.104506 | − | 6.99922i | 0.0149295 | − | 0.999889i | ||||
\(50\) | 1.55183 | + | 0.564821i | 0.219462 | + | 0.0798777i | ||||
\(51\) | −5.26963 | − | 3.49934i | −0.737896 | − | 0.490006i | ||||
\(52\) | −6.32774 | − | 5.30960i | −0.877499 | − | 0.736309i | ||||
\(53\) | 4.86390 | − | 8.42452i | 0.668108 | − | 1.15720i | −0.310324 | − | 0.950631i | \(-0.600438\pi\) |
0.978433 | − | 0.206567i | \(-0.0662290\pi\) | |||||||
\(54\) | −0.538829 | − | 3.31199i | −0.0733254 | − | 0.450705i | ||||
\(55\) | −6.07149 | −0.818679 | ||||||||
\(56\) | −1.54023 | − | 5.92478i | −0.205822 | − | 0.791733i | ||||
\(57\) | 7.21367 | + | 4.79030i | 0.955474 | + | 0.634491i | ||||
\(58\) | 0.197893 | + | 1.12231i | 0.0259847 | + | 0.147366i | ||||
\(59\) | 1.36778 | + | 7.75709i | 0.178070 | + | 1.00989i | 0.934540 | + | 0.355858i | \(0.115811\pi\) |
−0.756470 | + | 0.654029i | \(0.773078\pi\) | |||||||
\(60\) | −4.16529 | − | 1.00665i | −0.537737 | − | 0.129958i | ||||
\(61\) | −4.58353 | − | 3.84604i | −0.586861 | − | 0.492435i | 0.300331 | − | 0.953835i | \(-0.402903\pi\) |
−0.887192 | + | 0.461400i | \(0.847347\pi\) | |||||||
\(62\) | −2.97843 | + | 5.15879i | −0.378261 | + | 0.655167i | ||||
\(63\) | 7.32772 | + | 3.05034i | 0.923206 | + | 0.384307i | ||||
\(64\) | −0.170996 | − | 0.296174i | −0.0213745 | − | 0.0370217i | ||||
\(65\) | −1.41621 | + | 8.03170i | −0.175659 | + | 0.996210i | ||||
\(66\) | 4.31790 | − | 0.485361i | 0.531497 | − | 0.0597438i | ||||
\(67\) | 1.70114 | + | 0.619166i | 0.207828 | + | 0.0756431i | 0.443836 | − | 0.896108i | \(-0.353617\pi\) |
−0.236009 | + | 0.971751i | \(0.575839\pi\) | |||||||
\(68\) | 4.42870 | − | 3.71612i | 0.537059 | − | 0.450646i | ||||
\(69\) | 4.17887 | − | 9.57119i | 0.503076 | − | 1.15224i | ||||
\(70\) | −1.90225 | + | 1.87406i | −0.227363 | + | 0.223993i | ||||
\(71\) | 7.39028 | + | 12.8003i | 0.877065 | + | 1.51912i | 0.854546 | + | 0.519375i | \(0.173835\pi\) |
0.0225187 | + | 0.999746i | \(0.492831\pi\) | |||||||
\(72\) | 6.88705 | + | 0.866737i | 0.811646 | + | 0.102146i | ||||
\(73\) | −3.32613 | − | 5.76102i | −0.389294 | − | 0.674276i | 0.603061 | − | 0.797695i | \(-0.293948\pi\) |
−0.992355 | + | 0.123419i | \(0.960614\pi\) | |||||||
\(74\) | 0.247631 | − | 1.40438i | 0.0287865 | − | 0.163256i | ||||
\(75\) | −1.25159 | − | 4.24884i | −0.144521 | − | 0.490614i | ||||
\(76\) | −6.06251 | + | 5.08705i | −0.695418 | + | 0.583525i | ||||
\(77\) | −4.41308 | + | 9.28233i | −0.502917 | + | 1.05782i | ||||
\(78\) | 0.365110 | − | 5.82518i | 0.0413406 | − | 0.659571i | ||||
\(79\) | −5.09437 | + | 1.85420i | −0.573161 | + | 0.208614i | −0.612307 | − | 0.790620i | \(-0.709758\pi\) |
0.0391461 | + | 0.999233i | \(0.487536\pi\) | |||||||
\(80\) | 1.30642 | − | 2.26279i | 0.146062 | − | 0.252987i | ||||
\(81\) | −6.29090 | + | 6.43619i | −0.698989 | + | 0.715132i | ||||
\(82\) | 1.53947 | + | 2.66644i | 0.170006 | + | 0.294459i | ||||
\(83\) | 0.752128 | − | 4.26553i | 0.0825567 | − | 0.468203i | −0.915300 | − | 0.402772i | \(-0.868047\pi\) |
0.997857 | − | 0.0654306i | \(-0.0208421\pi\) | |||||||
\(84\) | −4.56656 | + | 5.63637i | −0.498252 | + | 0.614979i | ||||
\(85\) | −5.36377 | − | 1.95225i | −0.581782 | − | 0.211751i | ||||
\(86\) | 0.362984 | + | 0.132115i | 0.0391416 | + | 0.0142464i | ||||
\(87\) | 2.10739 | − | 2.21402i | 0.225935 | − | 0.237368i | ||||
\(88\) | −1.56082 | + | 8.85185i | −0.166384 | + | 0.943611i | ||||
\(89\) | −7.32849 | −0.776818 | −0.388409 | − | 0.921487i | \(-0.626975\pi\) | ||||
−0.388409 | + | 0.921487i | \(0.626975\pi\) | |||||||
\(90\) | −1.17466 | − | 2.79073i | −0.123820 | − | 0.294169i | ||||
\(91\) | 11.2498 | + | 8.00302i | 1.17930 | + | 0.838944i | ||||
\(92\) | 7.31176 | + | 6.13530i | 0.762304 | + | 0.639649i | ||||
\(93\) | 15.8771 | − | 1.78469i | 1.64638 | − | 0.185064i | ||||
\(94\) | 4.82263 | + | 1.75530i | 0.497417 | + | 0.181045i | ||||
\(95\) | 7.34254 | + | 2.67246i | 0.753328 | + | 0.274189i | ||||
\(96\) | −3.95535 | + | 9.05927i | −0.403692 | + | 0.924608i | ||||
\(97\) | −4.44995 | − | 3.73395i | −0.451824 | − | 0.379125i | 0.388288 | − | 0.921538i | \(-0.373066\pi\) |
−0.840112 | + | 0.542413i | \(0.817511\pi\) | |||||||
\(98\) | 1.48248 | + | 4.27041i | 0.149753 | + | 0.431376i | ||||
\(99\) | −7.92233 | − | 8.54725i | −0.796224 | − | 0.859031i | ||||
\(100\) | 4.04812 | 0.404812 | ||||||||
\(101\) | −0.762165 | + | 4.32245i | −0.0758382 | + | 0.430100i | 0.923122 | + | 0.384507i | \(0.125629\pi\) |
−0.998960 | + | 0.0455926i | \(0.985482\pi\) | |||||||
\(102\) | 3.97065 | + | 0.959611i | 0.393153 | + | 0.0950156i | ||||
\(103\) | 8.35540 | + | 3.04112i | 0.823282 | + | 0.299650i | 0.719099 | − | 0.694908i | \(-0.244555\pi\) |
0.104183 | + | 0.994558i | \(0.466777\pi\) | |||||||
\(104\) | 11.3457 | + | 4.12948i | 1.11253 | + | 0.404929i | ||||
\(105\) | 7.07374 | + | 1.12217i | 0.690326 | + | 0.109512i | ||||
\(106\) | −1.09085 | + | 6.18652i | −0.105953 | + | 0.600888i | ||||
\(107\) | 5.88854 | + | 10.1993i | 0.569267 | + | 0.985999i | 0.996639 | + | 0.0819232i | \(0.0261062\pi\) |
−0.427372 | + | 0.904076i | \(0.640560\pi\) | |||||||
\(108\) | −4.01791 | − | 7.17729i | −0.386624 | − | 0.690635i | ||||
\(109\) | −7.03726 | + | 12.1889i | −0.674047 | + | 1.16748i | 0.302699 | + | 0.953086i | \(0.402112\pi\) |
−0.976746 | + | 0.214398i | \(0.931221\pi\) | |||||||
\(110\) | 3.68435 | − | 1.34099i | 0.351289 | − | 0.127859i | ||||
\(111\) | −3.42557 | + | 1.70147i | −0.325140 | + | 0.161497i | ||||
\(112\) | −2.50986 | − | 3.64202i | −0.237160 | − | 0.344139i | ||||
\(113\) | 2.10865 | − | 1.76937i | 0.198366 | − | 0.166448i | −0.538194 | − | 0.842821i | \(-0.680893\pi\) |
0.736560 | + | 0.676372i | \(0.236449\pi\) | |||||||
\(114\) | −5.43548 | − | 1.31363i | −0.509079 | − | 0.123032i | ||||
\(115\) | 1.63644 | − | 9.28071i | 0.152599 | − | 0.865431i | ||||
\(116\) | 1.39677 | + | 2.41928i | 0.129687 | + | 0.224625i | ||||
\(117\) | −13.1547 | + | 8.48641i | −1.21615 | + | 0.784569i | ||||
\(118\) | −2.54330 | − | 4.40512i | −0.234130 | − | 0.405524i | ||||
\(119\) | −6.88335 | + | 6.78134i | −0.630995 | + | 0.621644i | ||||
\(120\) | 6.22436 | − | 0.699659i | 0.568203 | − | 0.0638699i | ||||
\(121\) | 3.13388 | − | 2.62964i | 0.284898 | − | 0.239058i | ||||
\(122\) | 3.63088 | + | 1.32153i | 0.328725 | + | 0.119646i | ||||
\(123\) | 3.30436 | − | 7.56824i | 0.297944 | − | 0.682405i | ||||
\(124\) | −2.53561 | + | 14.3802i | −0.227704 | + | 1.29138i | ||||
\(125\) | −5.90571 | − | 10.2290i | −0.528223 | − | 0.914909i | ||||
\(126\) | −5.12039 | − | 0.232578i | −0.456160 | − | 0.0207197i | ||||
\(127\) | −3.40695 | + | 5.90102i | −0.302318 | + | 0.523631i | −0.976661 | − | 0.214788i | \(-0.931094\pi\) |
0.674342 | + | 0.738419i | \(0.264427\pi\) | |||||||
\(128\) | −8.57470 | − | 7.19503i | −0.757904 | − | 0.635957i | ||||
\(129\) | −0.292755 | − | 0.993832i | −0.0257757 | − | 0.0875020i | ||||
\(130\) | −0.914548 | − | 5.18666i | −0.0802112 | − | 0.454900i | ||||
\(131\) | −2.30330 | − | 13.0627i | −0.201240 | − | 1.14129i | −0.903247 | − | 0.429121i | \(-0.858823\pi\) |
0.702007 | − | 0.712170i | \(-0.252288\pi\) | |||||||
\(132\) | 9.53919 | − | 4.73810i | 0.830280 | − | 0.412399i | ||||
\(133\) | 9.42271 | − | 9.28307i | 0.817053 | − | 0.804944i | ||||
\(134\) | −1.16906 | −0.100991 | ||||||||
\(135\) | −4.15345 | + | 6.97869i | −0.357472 | + | 0.600630i | ||||
\(136\) | −4.22514 | + | 7.31817i | −0.362303 | + | 0.627528i | ||||
\(137\) | 2.05989 | + | 1.72845i | 0.175988 | + | 0.147671i | 0.726527 | − | 0.687138i | \(-0.241133\pi\) |
−0.550539 | + | 0.834810i | \(0.685578\pi\) | |||||||
\(138\) | −0.421888 | + | 6.73105i | −0.0359135 | + | 0.572985i | ||||
\(139\) | −1.11028 | − | 0.404110i | −0.0941731 | − | 0.0342762i | 0.294504 | − | 0.955650i | \(-0.404846\pi\) |
−0.388677 | + | 0.921374i | \(0.627068\pi\) | |||||||
\(140\) | −2.81057 | + | 5.91166i | −0.237536 | + | 0.499626i | ||||
\(141\) | −3.88957 | − | 13.2041i | −0.327561 | − | 1.11199i | ||||
\(142\) | −7.31181 | − | 6.13534i | −0.613594 | − | 0.514866i | ||||
\(143\) | −10.1356 | − | 17.5553i | −0.847580 | − | 1.46805i | ||||
\(144\) | 4.89015 | − | 1.11344i | 0.407513 | − | 0.0927867i | ||||
\(145\) | 1.37907 | − | 2.38863i | 0.114526 | − | 0.198365i | ||||
\(146\) | 3.29081 | + | 2.76132i | 0.272349 | + | 0.228528i | ||||
\(147\) | 6.85718 | − | 9.99896i | 0.565571 | − | 0.824700i | ||||
\(148\) | −0.607014 | − | 3.44255i | −0.0498963 | − | 0.282976i | ||||
\(149\) | −13.6236 | + | 11.4316i | −1.11609 | + | 0.936512i | −0.998400 | − | 0.0565377i | \(-0.981994\pi\) |
−0.117692 | + | 0.993050i | \(0.537549\pi\) | |||||||
\(150\) | 1.69793 | + | 2.30188i | 0.138635 | + | 0.187948i | ||||
\(151\) | −1.13238 | + | 0.412151i | −0.0921515 | + | 0.0335404i | −0.387684 | − | 0.921792i | \(-0.626725\pi\) |
0.295533 | + | 0.955333i | \(0.404503\pi\) | |||||||
\(152\) | 5.78386 | − | 10.0179i | 0.469133 | − | 0.812562i | ||||
\(153\) | −4.25055 | − | 10.0983i | −0.343636 | − | 0.816401i | ||||
\(154\) | 0.627816 | − | 6.60748i | 0.0505908 | − | 0.532446i | ||||
\(155\) | 13.5475 | − | 4.93089i | 1.08816 | − | 0.396059i | ||||
\(156\) | −4.04276 | − | 13.7242i | −0.323679 | − | 1.09881i | ||||
\(157\) | 2.43796 | + | 13.8264i | 0.194570 | + | 1.10346i | 0.913029 | + | 0.407894i | \(0.133737\pi\) |
−0.718459 | + | 0.695569i | \(0.755152\pi\) | |||||||
\(158\) | 2.68187 | − | 2.25036i | 0.213358 | − | 0.179029i | ||||
\(159\) | 15.0901 | − | 7.49524i | 1.19672 | − | 0.594411i | ||||
\(160\) | −1.54891 | + | 8.78432i | −0.122452 | + | 0.694462i | ||||
\(161\) | −12.9993 | − | 9.24756i | −1.02449 | − | 0.728810i | ||||
\(162\) | 2.39595 | − | 5.29512i | 0.188244 | − | 0.416024i | ||||
\(163\) | −5.72878 | − | 9.92253i | −0.448712 | − | 0.777193i | 0.549590 | − | 0.835434i | \(-0.314784\pi\) |
−0.998303 | + | 0.0582418i | \(0.981451\pi\) | |||||||
\(164\) | 5.78163 | + | 4.85137i | 0.451470 | + | 0.378828i | ||||
\(165\) | −8.76048 | − | 5.81747i | −0.682002 | − | 0.452890i | ||||
\(166\) | 0.485704 | + | 2.75456i | 0.0376979 | + | 0.213796i | ||||
\(167\) | −2.22150 | + | 1.86406i | −0.171904 | + | 0.144245i | −0.724681 | − | 0.689085i | \(-0.758013\pi\) |
0.552776 | + | 0.833330i | \(0.313568\pi\) | |||||||
\(168\) | 3.45452 | − | 10.0246i | 0.266522 | − | 0.773414i | ||||
\(169\) | −13.3714 | + | 4.86678i | −1.02857 | + | 0.374367i | ||||
\(170\) | 3.68607 | 0.282709 | ||||||||
\(171\) | 5.81863 | + | 13.8237i | 0.444962 | + | 1.05713i | ||||
\(172\) | 0.946883 | 0.0721991 | ||||||||
\(173\) | −2.36304 | + | 13.4015i | −0.179658 | + | 1.01889i | 0.752970 | + | 0.658055i | \(0.228621\pi\) |
−0.932628 | + | 0.360839i | \(0.882490\pi\) | |||||||
\(174\) | −0.789817 | + | 1.80898i | −0.0598758 | + | 0.137138i | ||||
\(175\) | −6.74441 | + | 0.539359i | −0.509829 | + | 0.0407717i | ||||
\(176\) | 1.12773 | + | 6.39568i | 0.0850060 | + | 0.482093i | ||||
\(177\) | −5.45899 | + | 12.5032i | −0.410323 | + | 0.939795i | ||||
\(178\) | 4.44713 | − | 1.61862i | 0.333327 | − | 0.121321i | ||||
\(179\) | 17.4650 | 1.30540 | 0.652699 | − | 0.757618i | \(-0.273637\pi\) | ||||
0.652699 | + | 0.757618i | \(0.273637\pi\) | |||||||
\(180\) | −5.04551 | − | 5.44351i | −0.376070 | − | 0.405735i | ||||
\(181\) | −3.81801 | + | 6.61299i | −0.283791 | + | 0.491540i | −0.972315 | − | 0.233673i | \(-0.924925\pi\) |
0.688525 | + | 0.725213i | \(0.258259\pi\) | |||||||
\(182\) | −8.59431 | − | 2.37174i | −0.637052 | − | 0.175805i | ||||
\(183\) | −2.92839 | − | 9.94117i | −0.216473 | − | 0.734873i | ||||
\(184\) | −13.1100 | − | 4.77165i | −0.966483 | − | 0.351771i | ||||
\(185\) | −2.64390 | + | 2.21849i | −0.194383 | + | 0.163107i | ||||
\(186\) | −9.24050 | + | 4.58974i | −0.677546 | + | 0.336536i | ||||
\(187\) | 13.3319 | − | 4.85242i | 0.974926 | − | 0.354844i | ||||
\(188\) | 12.5804 | 0.917517 | ||||||||
\(189\) | 7.65035 | + | 11.4224i | 0.556481 | + | 0.830860i | ||||
\(190\) | −5.04592 | −0.366069 | ||||||||
\(191\) | 17.4877 | − | 6.36502i | 1.26537 | − | 0.460557i | 0.379802 | − | 0.925068i | \(-0.375992\pi\) |
0.885567 | + | 0.464511i | \(0.153770\pi\) | |||||||
\(192\) | 0.0370544 | − | 0.591187i | 0.00267417 | − | 0.0426653i | ||||
\(193\) | 9.64772 | − | 8.09540i | 0.694458 | − | 0.582719i | −0.225733 | − | 0.974189i | \(-0.572478\pi\) |
0.920191 | + | 0.391470i | \(0.128033\pi\) | |||||||
\(194\) | 3.52506 | + | 1.28302i | 0.253085 | + | 0.0921153i | ||||
\(195\) | −9.73910 | + | 10.2319i | −0.697432 | + | 0.732721i | ||||
\(196\) | 6.99511 | + | 8.59381i | 0.499650 | + | 0.613843i | ||||
\(197\) | −4.48687 | + | 7.77149i | −0.319676 | + | 0.553696i | −0.980420 | − | 0.196915i | \(-0.936908\pi\) |
0.660744 | + | 0.750611i | \(0.270241\pi\) | |||||||
\(198\) | 6.69530 | + | 3.43693i | 0.475815 | + | 0.244252i | ||||
\(199\) | −16.8173 | −1.19215 | −0.596073 | − | 0.802930i | \(-0.703273\pi\) | ||||
−0.596073 | + | 0.802930i | \(0.703273\pi\) | |||||||
\(200\) | −5.56018 | + | 2.02374i | −0.393164 | + | 0.143100i | ||||
\(201\) | 1.86130 | + | 2.52336i | 0.131286 | + | 0.177984i | ||||
\(202\) | −0.492186 | − | 2.79132i | −0.0346301 | − | 0.196397i | ||||
\(203\) | −2.64944 | − | 3.84456i | −0.185954 | − | 0.269835i | ||||
\(204\) | 9.95076 | − | 1.11853i | 0.696693 | − | 0.0783129i | ||||
\(205\) | 1.29398 | − | 7.33854i | 0.0903757 | − | 0.512546i | ||||
\(206\) | −5.74198 | −0.400062 | ||||||||
\(207\) | 15.2004 | − | 9.80613i | 1.05650 | − | 0.681573i | ||||
\(208\) | 8.72362 | 0.604874 | ||||||||
\(209\) | −18.2502 | + | 6.64254i | −1.26240 | + | 0.459474i | ||||
\(210\) | −4.54039 | + | 0.881395i | −0.313317 | + | 0.0608220i | ||||
\(211\) | −10.2311 | + | 8.58489i | −0.704336 | + | 0.591008i | −0.923004 | − | 0.384791i | \(-0.874273\pi\) |
0.218668 | + | 0.975799i | \(0.429829\pi\) | |||||||
\(212\) | 2.67399 | + | 15.1649i | 0.183650 | + | 1.04153i | ||||
\(213\) | −1.60146 | + | 25.5506i | −0.109730 | + | 1.75069i | ||||
\(214\) | −5.82602 | − | 4.88861i | −0.398258 | − | 0.334178i | ||||
\(215\) | −0.467442 | − | 0.809634i | −0.0318793 | − | 0.0552166i | ||||
\(216\) | 9.10676 | + | 7.84951i | 0.619636 | + | 0.534092i | ||||
\(217\) | 2.30851 | − | 24.2960i | 0.156712 | − | 1.64932i | ||||
\(218\) | 1.57828 | − | 8.95086i | 0.106895 | − | 0.606229i | ||||
\(219\) | 0.720764 | − | 11.4995i | 0.0487047 | − | 0.777062i | ||||
\(220\) | 7.36248 | − | 6.17785i | 0.496378 | − | 0.416511i | ||||
\(221\) | −3.30931 | − | 18.7680i | −0.222608 | − | 1.26248i | ||||
\(222\) | 1.70293 | − | 1.78910i | 0.114293 | − | 0.120076i | ||||
\(223\) | 19.2960 | − | 7.02318i | 1.29216 | − | 0.470307i | 0.397723 | − | 0.917506i | \(-0.369801\pi\) |
0.894435 | + | 0.447199i | \(0.147578\pi\) | |||||||
\(224\) | 12.3040 | + | 8.75295i | 0.822095 | + | 0.584831i | ||||
\(225\) | 2.26517 | − | 7.32983i | 0.151012 | − | 0.488655i | ||||
\(226\) | −0.888795 | + | 1.53944i | −0.0591217 | + | 0.102402i | ||||
\(227\) | −1.85438 | + | 0.674940i | −0.123080 | + | 0.0447974i | −0.402826 | − | 0.915277i | \(-0.631972\pi\) |
0.279746 | + | 0.960074i | \(0.409750\pi\) | |||||||
\(228\) | −13.6217 | + | 1.53117i | −0.902122 | + | 0.101405i | ||||
\(229\) | 0.951693 | − | 0.798565i | 0.0628897 | − | 0.0527707i | −0.610801 | − | 0.791784i | \(-0.709152\pi\) |
0.673691 | + | 0.739013i | \(0.264708\pi\) | |||||||
\(230\) | 1.05677 | + | 5.99323i | 0.0696813 | + | 0.395182i | ||||
\(231\) | −15.2616 | + | 9.16492i | −1.00414 | + | 0.603007i | ||||
\(232\) | −3.12795 | − | 2.62466i | −0.205360 | − | 0.172317i | ||||
\(233\) | −5.65492 | + | 9.79461i | −0.370466 | + | 0.641666i | −0.989637 | − | 0.143590i | \(-0.954135\pi\) |
0.619171 | + | 0.785256i | \(0.287469\pi\) | |||||||
\(234\) | 6.10828 | − | 8.05524i | 0.399310 | − | 0.526588i | ||||
\(235\) | −6.21048 | − | 10.7569i | −0.405127 | − | 0.701700i | ||||
\(236\) | −9.55159 | − | 8.01474i | −0.621756 | − | 0.521715i | ||||
\(237\) | −9.12722 | − | 2.20583i | −0.592877 | − | 0.143284i | ||||
\(238\) | 2.67923 | − | 5.63541i | 0.173669 | − | 0.365290i | ||||
\(239\) | −18.7640 | − | 6.82953i | −1.21374 | − | 0.441765i | −0.345741 | − | 0.938330i | \(-0.612372\pi\) |
−0.868000 | + | 0.496565i | \(0.834595\pi\) | |||||||
\(240\) | 4.05314 | − | 2.01319i | 0.261629 | − | 0.129951i | ||||
\(241\) | −5.29906 | − | 4.44644i | −0.341342 | − | 0.286420i | 0.455960 | − | 0.890000i | \(-0.349296\pi\) |
−0.797303 | + | 0.603580i | \(0.793740\pi\) | |||||||
\(242\) | −1.32092 | + | 2.28791i | −0.0849123 | + | 0.147072i | ||||
\(243\) | −15.2440 | + | 3.25899i | −0.977902 | + | 0.209065i | ||||
\(244\) | 9.47155 | 0.606354 | ||||||||
\(245\) | 3.89492 | − | 10.2236i | 0.248837 | − | 0.653164i | ||||
\(246\) | −0.333600 | + | 5.32244i | −0.0212696 | + | 0.339347i | ||||
\(247\) | 4.53016 | + | 25.6918i | 0.288247 | + | 1.63473i | ||||
\(248\) | −3.70622 | − | 21.0190i | −0.235345 | − | 1.33471i | ||||
\(249\) | 5.17230 | − | 5.43402i | 0.327781 | − | 0.344367i | ||||
\(250\) | 5.84300 | + | 4.90286i | 0.369544 | + | 0.310084i | ||||
\(251\) | 1.70673 | − | 2.95614i | 0.107728 | − | 0.186590i | −0.807122 | − | 0.590385i | \(-0.798976\pi\) |
0.914849 | + | 0.403795i | \(0.132309\pi\) | |||||||
\(252\) | −11.9896 | + | 3.75715i | −0.755273 | + | 0.236678i | ||||
\(253\) | 11.7118 | + | 20.2854i | 0.736312 | + | 1.27533i | ||||
\(254\) | 0.764094 | − | 4.33339i | 0.0479435 | − | 0.271901i | ||||
\(255\) | −5.86874 | − | 7.95624i | −0.367515 | − | 0.498239i | ||||
\(256\) | 7.43525 | + | 2.70621i | 0.464703 | + | 0.169138i | ||||
\(257\) | 10.8256 | − | 9.08375i | 0.675282 | − | 0.566628i | −0.239342 | − | 0.970935i | \(-0.576932\pi\) |
0.914623 | + | 0.404307i | \(0.132487\pi\) | |||||||
\(258\) | 0.397157 | + | 0.538425i | 0.0247259 | + | 0.0335209i | ||||
\(259\) | 1.47000 | + | 5.65461i | 0.0913411 | + | 0.351360i | ||||
\(260\) | −6.45507 | − | 11.1805i | −0.400326 | − | 0.693386i | ||||
\(261\) | 5.16211 | − | 1.17536i | 0.319526 | − | 0.0727531i | ||||
\(262\) | 4.28283 | + | 7.41808i | 0.264594 | + | 0.458290i | ||||
\(263\) | −0.297043 | + | 1.68461i | −0.0183165 | + | 0.103878i | −0.992595 | − | 0.121468i | \(-0.961240\pi\) |
0.974279 | + | 0.225345i | \(0.0723511\pi\) | |||||||
\(264\) | −10.7336 | + | 11.2767i | −0.660607 | + | 0.694034i | ||||
\(265\) | 11.6468 | − | 9.77279i | 0.715455 | − | 0.600338i | ||||
\(266\) | −3.66764 | + | 7.71440i | −0.224877 | + | 0.473000i | ||||
\(267\) | −10.5742 | − | 7.02188i | −0.647130 | − | 0.429732i | ||||
\(268\) | −2.69287 | + | 0.980125i | −0.164493 | + | 0.0598707i | ||||
\(269\) | −12.0965 | + | 20.9517i | −0.737536 | + | 1.27745i | 0.216066 | + | 0.976379i | \(0.430677\pi\) |
−0.953602 | + | 0.301071i | \(0.902656\pi\) | |||||||
\(270\) | 0.979064 | − | 5.15223i | 0.0595840 | − | 0.313555i | ||||
\(271\) | 7.87513 | + | 13.6401i | 0.478380 | + | 0.828578i | 0.999693 | − | 0.0247874i | \(-0.00789090\pi\) |
−0.521313 | + | 0.853366i | \(0.674558\pi\) | |||||||
\(272\) | −1.06022 | + | 6.01279i | −0.0642851 | + | 0.364579i | ||||
\(273\) | 8.56403 | + | 22.3266i | 0.518319 | + | 1.35127i | ||||
\(274\) | −1.63176 | − | 0.593910i | −0.0985779 | − | 0.0358794i | ||||
\(275\) | 9.33520 | + | 3.39774i | 0.562934 | + | 0.204891i | ||||
\(276\) | 4.67144 | + | 15.8584i | 0.281188 | + | 0.954563i | ||||
\(277\) | 0.130149 | − | 0.738114i | 0.00781992 | − | 0.0443490i | −0.980648 | − | 0.195779i | \(-0.937277\pi\) |
0.988468 | + | 0.151430i | \(0.0483877\pi\) | |||||||
\(278\) | 0.763007 | 0.0457621 | ||||||||
\(279\) | 24.6189 | + | 12.6377i | 1.47390 | + | 0.756601i | ||||
\(280\) | 0.905011 | − | 9.52484i | 0.0540848 | − | 0.569218i | ||||
\(281\) | 23.2177 | + | 19.4820i | 1.38505 | + | 1.16220i | 0.967300 | + | 0.253635i | \(0.0816264\pi\) |
0.417752 | + | 0.908561i | \(0.362818\pi\) | |||||||
\(282\) | 5.27666 | + | 7.15356i | 0.314221 | + | 0.425988i | ||||
\(283\) | −11.6192 | − | 4.22905i | −0.690690 | − | 0.251391i | −0.0272596 | − | 0.999628i | \(-0.508678\pi\) |
−0.663431 | + | 0.748238i | \(0.730900\pi\) | |||||||
\(284\) | −21.9863 | − | 8.00235i | −1.30464 | − | 0.474852i | ||||
\(285\) | 8.03380 | + | 10.8914i | 0.475881 | + | 0.645151i | ||||
\(286\) | 10.0280 | + | 8.41446i | 0.592966 | + | 0.497557i | ||||
\(287\) | −10.2789 | − | 7.31233i | −0.606745 | − | 0.431633i | ||||
\(288\) | −14.3874 | + | 9.28164i | −0.847785 | + | 0.546926i | ||||
\(289\) | −3.66186 | −0.215404 | ||||||||
\(290\) | −0.309291 | + | 1.75408i | −0.0181622 | + | 0.103003i | ||||
\(291\) | −2.84305 | − | 9.65144i | −0.166662 | − | 0.565777i | ||||
\(292\) | 9.89531 | + | 3.60160i | 0.579079 | + | 0.210768i | ||||
\(293\) | 2.71146 | + | 0.986893i | 0.158405 | + | 0.0576549i | 0.420006 | − | 0.907521i | \(-0.362028\pi\) |
−0.261600 | + | 0.965176i | \(0.584250\pi\) | |||||||
\(294\) | −1.95269 | + | 7.58218i | −0.113883 | + | 0.442201i | ||||
\(295\) | −2.13773 | + | 12.1237i | −0.124464 | + | 0.705869i | ||||
\(296\) | 2.55475 | + | 4.42495i | 0.148492 | + | 0.257195i | ||||
\(297\) | −3.24138 | − | 19.9236i | −0.188084 | − | 1.15608i | ||||
\(298\) | 5.74234 | − | 9.94603i | 0.332645 | − | 0.576158i | ||||
\(299\) | 29.5664 | − | 10.7613i | 1.70987 | − | 0.622342i | ||||
\(300\) | 5.84099 | + | 3.87876i | 0.337230 | + | 0.223940i | ||||
\(301\) | −1.57756 | + | 0.126160i | −0.0909291 | + | 0.00727172i | ||||
\(302\) | 0.596127 | − | 0.500210i | 0.0343033 | − | 0.0287839i | ||||
\(303\) | −5.24133 | + | 5.50654i | −0.301106 | + | 0.316342i | ||||
\(304\) | 1.45135 | − | 8.23099i | 0.0832404 | − | 0.472080i | ||||
\(305\) | −4.67577 | − | 8.09867i | −0.267734 | − | 0.463728i | ||||
\(306\) | 4.80974 | + | 5.18914i | 0.274955 | + | 0.296643i | ||||
\(307\) | −7.23176 | − | 12.5258i | −0.412738 | − | 0.714884i | 0.582450 | − | 0.812867i | \(-0.302094\pi\) |
−0.995188 | + | 0.0979830i | \(0.968761\pi\) | |||||||
\(308\) | −4.09350 | − | 15.7464i | −0.233249 | − | 0.897236i | ||||
\(309\) | 9.14202 | + | 12.3938i | 0.520071 | + | 0.705060i | ||||
\(310\) | −7.13194 | + | 5.98441i | −0.405067 | + | 0.339892i | ||||
\(311\) | 19.1797 | + | 6.98083i | 1.08758 | + | 0.395846i | 0.822723 | − | 0.568442i | \(-0.192454\pi\) |
0.264855 | + | 0.964288i | \(0.414676\pi\) | |||||||
\(312\) | 12.4138 | + | 16.8294i | 0.702793 | + | 0.952775i | ||||
\(313\) | 0.953891 | − | 5.40979i | 0.0539171 | − | 0.305779i | −0.945909 | − | 0.324432i | \(-0.894827\pi\) |
0.999826 | + | 0.0186532i | \(0.00593784\pi\) | |||||||
\(314\) | −4.53321 | − | 7.85176i | −0.255824 | − | 0.443100i | ||||
\(315\) | 9.13139 | + | 8.39695i | 0.514496 | + | 0.473115i | ||||
\(316\) | 4.29091 | − | 7.43207i | 0.241382 | − | 0.418087i | ||||
\(317\) | −13.9976 | − | 11.7454i | −0.786185 | − | 0.659688i | 0.158613 | − | 0.987341i | \(-0.449298\pi\) |
−0.944798 | + | 0.327653i | \(0.893742\pi\) | |||||||
\(318\) | −7.50166 | + | 7.88124i | −0.420672 | + | 0.441958i | ||||
\(319\) | 1.19045 | + | 6.75136i | 0.0666523 | + | 0.378004i | ||||
\(320\) | −0.0928159 | − | 0.526385i | −0.00518857 | − | 0.0294258i | ||||
\(321\) | −1.27603 | + | 20.3586i | −0.0712213 | + | 1.13630i | ||||
\(322\) | 9.93080 | + | 2.74057i | 0.553422 | + | 0.152726i | ||||
\(323\) | −18.2588 | −1.01595 | ||||||||
\(324\) | 1.07960 | − | 14.2058i | 0.0599780 | − | 0.789213i | ||||
\(325\) | 6.67220 | − | 11.5566i | 0.370107 | − | 0.641044i | ||||
\(326\) | 5.66795 | + | 4.75597i | 0.313919 | + | 0.263409i | ||||
\(327\) | −21.8329 | + | 10.8444i | −1.20736 | + | 0.599695i | ||||
\(328\) | −10.3665 | − | 3.77309i | −0.572394 | − | 0.208334i | ||||
\(329\) | −20.9596 | + | 1.67617i | −1.15554 | + | 0.0924101i | ||||
\(330\) | 6.60100 | + | 1.59530i | 0.363373 | + | 0.0878185i | ||||
\(331\) | 24.8446 | + | 20.8471i | 1.36558 | + | 1.14586i | 0.974214 | + | 0.225625i | \(0.0724425\pi\) |
0.391368 | + | 0.920234i | \(0.372002\pi\) | |||||||
\(332\) | 3.42820 | + | 5.93781i | 0.188147 | + | 0.325880i | ||||
\(333\) | −6.57299 | − | 0.827214i | −0.360198 | − | 0.0453310i | ||||
\(334\) | 0.936357 | − | 1.62182i | 0.0512352 | − | 0.0887419i | ||||
\(335\) | 2.16743 | + | 1.81869i | 0.118420 | + | 0.0993658i | ||||
\(336\) | −0.131804 | − | 7.65988i | −0.00719050 | − | 0.417881i | ||||
\(337\) | −5.06764 | − | 28.7400i | −0.276052 | − | 1.56557i | −0.735601 | − | 0.677415i | \(-0.763100\pi\) |
0.459549 | − | 0.888152i | \(-0.348011\pi\) | |||||||
\(338\) | 7.03921 | − | 5.90659i | 0.382882 | − | 0.321276i | ||||
\(339\) | 4.73790 | − | 0.532571i | 0.257327 | − | 0.0289253i | ||||
\(340\) | 8.49072 | − | 3.09037i | 0.460474 | − | 0.167599i | ||||
\(341\) | −17.9170 | + | 31.0332i | −0.970262 | + | 1.68054i | ||||
\(342\) | −6.58412 | − | 7.10349i | −0.356029 | − | 0.384113i | ||||
\(343\) | −12.7993 | − | 13.3858i | −0.691095 | − | 0.722764i | ||||
\(344\) | −1.30056 | + | 0.473366i | −0.0701217 | + | 0.0255222i | ||||
\(345\) | 11.2536 | − | 11.8231i | 0.605875 | − | 0.636532i | ||||
\(346\) | −1.52599 | − | 8.65430i | −0.0820376 | − | 0.465258i | ||||
\(347\) | 12.7113 | − | 10.6661i | 0.682380 | − | 0.572585i | −0.234320 | − | 0.972159i | \(-0.575286\pi\) |
0.916701 | + | 0.399574i | \(0.130842\pi\) | |||||||
\(348\) | −0.302678 | + | 4.82909i | −0.0162252 | + | 0.258866i | ||||
\(349\) | 0.385759 | − | 2.18775i | 0.0206492 | − | 0.117107i | −0.972741 | − | 0.231895i | \(-0.925508\pi\) |
0.993390 | + | 0.114787i | \(0.0366186\pi\) | |||||||
\(350\) | 3.97357 | − | 1.81692i | 0.212396 | − | 0.0971183i | ||||
\(351\) | −27.1121 | − | 0.359403i | −1.44714 | − | 0.0191835i | ||||
\(352\) | −11.0853 | − | 19.2004i | −0.590851 | − | 1.02338i | ||||
\(353\) | 10.1098 | + | 8.48315i | 0.538092 | + | 0.451512i | 0.870885 | − | 0.491487i | \(-0.163547\pi\) |
−0.332793 | + | 0.943000i | \(0.607991\pi\) | |||||||
\(354\) | 0.551127 | − | 8.79299i | 0.0292921 | − | 0.467342i | ||||
\(355\) | 4.01142 | + | 22.7499i | 0.212904 | + | 1.20744i | ||||
\(356\) | 8.88675 | − | 7.45687i | 0.470997 | − | 0.395213i | ||||
\(357\) | −16.4295 | + | 3.18935i | −0.869542 | + | 0.168798i | ||||
\(358\) | −10.5983 | + | 3.85745i | −0.560136 | + | 0.203873i | ||||
\(359\) | 9.29649 | 0.490650 | 0.245325 | − | 0.969441i | \(-0.421105\pi\) | ||||
0.245325 | + | 0.969441i | \(0.421105\pi\) | |||||||
\(360\) | 9.65144 | + | 4.95441i | 0.508675 | + | 0.261121i | ||||
\(361\) | 5.99469 | 0.315510 | ||||||||
\(362\) | 0.856283 | − | 4.85622i | 0.0450052 | − | 0.255237i | ||||
\(363\) | 7.04145 | − | 0.791506i | 0.369580 | − | 0.0415433i | ||||
\(364\) | −21.7851 | + | 1.74218i | −1.14185 | + | 0.0913151i | ||||
\(365\) | −1.80541 | − | 10.2390i | −0.0944994 | − | 0.535933i | ||||
\(366\) | 3.97271 | + | 5.38580i | 0.207657 | + | 0.281520i | ||||
\(367\) | 20.0876 | − | 7.31129i | 1.04857 | − | 0.381646i | 0.240444 | − | 0.970663i | \(-0.422707\pi\) |
0.808121 | + | 0.589017i | \(0.200485\pi\) | |||||||
\(368\) | −10.0802 | −0.525468 | ||||||||
\(369\) | 12.0194 | − | 7.75401i | 0.625706 | − | 0.403657i | ||||
\(370\) | 1.11440 | − | 1.93019i | 0.0579348 | − | 0.100346i | ||||
\(371\) | −6.47555 | − | 24.9094i | −0.336194 | − | 1.29323i | ||||
\(372\) | −17.4371 | + | 18.3194i | −0.904072 | + | 0.949818i | ||||
\(373\) | 10.1486 | + | 3.69379i | 0.525475 | + | 0.191257i | 0.591117 | − | 0.806586i | \(-0.298687\pi\) |
−0.0656419 | + | 0.997843i | \(0.520909\pi\) | |||||||
\(374\) | −7.01844 | + | 5.88917i | −0.362915 | + | 0.304522i | ||||
\(375\) | 1.27975 | − | 20.4179i | 0.0660862 | − | 1.05438i | ||||
\(376\) | −17.2794 | + | 6.28918i | −0.891116 | + | 0.324340i | ||||
\(377\) | 9.20876 | 0.474275 | ||||||||
\(378\) | −7.16529 | − | 5.24174i | −0.368543 | − | 0.269606i | ||||
\(379\) | 29.9516 | 1.53851 | 0.769254 | − | 0.638943i | \(-0.220628\pi\) | ||||
0.769254 | + | 0.638943i | \(0.220628\pi\) | |||||||
\(380\) | −11.6231 | + | 4.23045i | −0.596251 | + | 0.217018i | ||||
\(381\) | −10.5700 | + | 5.25009i | −0.541517 | + | 0.268970i | ||||
\(382\) | −9.20623 | + | 7.72495i | −0.471032 | + | 0.395243i | ||||
\(383\) | −14.0313 | − | 5.10698i | −0.716967 | − | 0.260955i | −0.0423293 | − | 0.999104i | \(-0.513478\pi\) |
−0.674638 | + | 0.738149i | \(0.735700\pi\) | |||||||
\(384\) | −5.47833 | − | 18.5976i | −0.279565 | − | 0.949054i | ||||
\(385\) | −11.4432 | + | 11.2736i | −0.583199 | + | 0.574556i | ||||
\(386\) | −4.06650 | + | 7.04338i | −0.206979 | + | 0.358499i | ||||
\(387\) | 0.529839 | − | 1.71449i | 0.0269332 | − | 0.0871527i | ||||
\(388\) | 9.19550 | 0.466831 | ||||||||
\(389\) | 10.9865 | − | 3.99877i | 0.557039 | − | 0.202746i | −0.0481320 | − | 0.998841i | \(-0.515327\pi\) |
0.605171 | + | 0.796095i | \(0.293105\pi\) | |||||||
\(390\) | 3.65007 | − | 8.36005i | 0.184828 | − | 0.423328i | ||||
\(391\) | 3.82394 | + | 21.6866i | 0.193385 | + | 1.09674i | ||||
\(392\) | −13.9041 | − | 8.30677i | −0.702265 | − | 0.419555i | ||||
\(393\) | 9.19276 | − | 21.0549i | 0.463713 | − | 1.06208i | ||||
\(394\) | 1.00629 | − | 5.70696i | 0.0506962 | − | 0.287513i | ||||
\(395\) | −8.47307 | −0.426326 | ||||||||
\(396\) | 18.3038 | + | 2.30355i | 0.919803 | + | 0.115758i | ||||
\(397\) | −16.7910 | −0.842714 | −0.421357 | − | 0.906895i | \(-0.638446\pi\) | ||||
−0.421357 | + | 0.906895i | \(0.638446\pi\) | |||||||
\(398\) | 10.2052 | − | 3.71439i | 0.511541 | − | 0.186186i | ||||
\(399\) | 22.4906 | − | 4.36594i | 1.12594 | − | 0.218571i | ||||
\(400\) | −3.27499 | + | 2.74804i | −0.163749 | + | 0.137402i | ||||
\(401\) | 0.288077 | + | 1.63377i | 0.0143859 | + | 0.0815864i | 0.991155 | − | 0.132706i | \(-0.0423666\pi\) |
−0.976770 | + | 0.214292i | \(0.931255\pi\) | |||||||
\(402\) | −1.68682 | − | 1.12015i | −0.0841308 | − | 0.0558678i | ||||
\(403\) | 36.8732 | + | 30.9403i | 1.83679 | + | 1.54125i | ||||
\(404\) | −3.47395 | − | 6.01706i | −0.172835 | − | 0.299360i | ||||
\(405\) | −12.6797 | + | 6.08979i | −0.630058 | + | 0.302604i | ||||
\(406\) | 2.45689 | + | 1.74781i | 0.121934 | + | 0.0867425i | ||||
\(407\) | 1.48965 | − | 8.44821i | 0.0738390 | − | 0.418762i | ||||
\(408\) | −13.1084 | + | 6.51092i | −0.648962 | + | 0.322338i | ||||
\(409\) | −13.3183 | + | 11.1754i | −0.658548 | + | 0.552587i | −0.909651 | − | 0.415373i | \(-0.863651\pi\) |
0.251104 | + | 0.967960i | \(0.419207\pi\) | |||||||
\(410\) | 0.835619 | + | 4.73903i | 0.0412683 | + | 0.234044i | ||||
\(411\) | 1.31605 | + | 4.46766i | 0.0649159 | + | 0.220374i | ||||
\(412\) | −13.2264 | + | 4.81402i | −0.651618 | + | 0.237170i | ||||
\(413\) | 16.9814 | + | 12.0804i | 0.835598 | + | 0.594437i | ||||
\(414\) | −7.05817 | + | 9.30791i | −0.346890 | + | 0.457459i | ||||
\(415\) | 3.38476 | − | 5.86258i | 0.166151 | − | 0.287782i | ||||
\(416\) | −27.9851 | + | 10.1857i | −1.37208 | + | 0.499396i | ||||
\(417\) | −1.21481 | − | 1.64692i | −0.0594896 | − | 0.0806499i | ||||
\(418\) | 9.60764 | − | 8.06176i | 0.469925 | − | 0.394314i | ||||
\(419\) | −3.40593 | − | 19.3160i | −0.166391 | − | 0.943649i | −0.947619 | − | 0.319403i | \(-0.896518\pi\) |
0.781228 | − | 0.624246i | \(-0.214594\pi\) | |||||||
\(420\) | −9.71966 | + | 5.83688i | −0.474271 | + | 0.284811i | ||||
\(421\) | −20.8334 | − | 17.4813i | −1.01536 | − | 0.851985i | −0.0263192 | − | 0.999654i | \(-0.508379\pi\) |
−0.989037 | + | 0.147669i | \(0.952823\pi\) | |||||||
\(422\) | 4.31238 | − | 7.46926i | 0.209923 | − | 0.363598i | ||||
\(423\) | 7.03949 | − | 22.7789i | 0.342272 | − | 1.10755i | ||||
\(424\) | −11.2540 | − | 19.4926i | −0.546545 | − | 0.946643i | ||||
\(425\) | 7.15452 | + | 6.00336i | 0.347045 | + | 0.291206i | ||||
\(426\) | −4.67147 | − | 15.8585i | −0.226334 | − | 0.768347i | ||||
\(427\) | −15.7801 | + | 1.26196i | −0.763655 | + | 0.0610705i | ||||
\(428\) | −17.5186 | − | 6.37623i | −0.846791 | − | 0.308207i | ||||
\(429\) | 2.19636 | − | 35.0419i | 0.106041 | − | 1.69184i | ||||
\(430\) | 0.462479 | + | 0.388066i | 0.0223027 | + | 0.0187142i | ||||
\(431\) | −8.53896 | + | 14.7899i | −0.411307 | + | 0.712405i | −0.995033 | − | 0.0995459i | \(-0.968261\pi\) |
0.583726 | + | 0.811951i | \(0.301594\pi\) | |||||||
\(432\) | 8.12280 | + | 3.07899i | 0.390808 | + | 0.148138i | ||||
\(433\) | −2.60933 | −0.125397 | −0.0626983 | − | 0.998033i | \(-0.519971\pi\) | ||||
−0.0626983 | + | 0.998033i | \(0.519971\pi\) | |||||||
\(434\) | 3.96533 | + | 15.2534i | 0.190342 | + | 0.732185i | ||||
\(435\) | 4.27854 | − | 2.12514i | 0.205140 | − | 0.101893i | ||||
\(436\) | −3.86882 | − | 21.9412i | −0.185283 | − | 1.05079i | ||||
\(437\) | −5.23465 | − | 29.6872i | −0.250407 | − | 1.42013i | ||||
\(438\) | 2.10248 | + | 7.13740i | 0.100460 | + | 0.341038i | ||||
\(439\) | −21.9756 | − | 18.4397i | −1.04884 | − | 0.880080i | −0.0558676 | − | 0.998438i | \(-0.517792\pi\) |
−0.992971 | + | 0.118358i | \(0.962237\pi\) | |||||||
\(440\) | −7.02408 | + | 12.1661i | −0.334860 | + | 0.579994i | ||||
\(441\) | 19.4748 | − | 7.85708i | 0.927370 | − | 0.374147i | ||||
\(442\) | 6.15343 | + | 10.6581i | 0.292689 | + | 0.506952i | ||||
\(443\) | 1.01830 | − | 5.77506i | 0.0483808 | − | 0.274381i | −0.951015 | − | 0.309146i | \(-0.899957\pi\) |
0.999396 | + | 0.0347643i | \(0.0110681\pi\) | |||||||
\(444\) | 2.42267 | − | 5.54883i | 0.114975 | − | 0.263336i | ||||
\(445\) | −10.7631 | − | 3.91744i | −0.510219 | − | 0.185704i | ||||
\(446\) | −10.1582 | + | 8.52373i | −0.481004 | + | 0.403610i | ||||
\(447\) | −30.6107 | + | 3.44085i | −1.44784 | + | 0.162747i | ||||
\(448\) | −0.872222 | − | 0.240704i | −0.0412086 | − | 0.0113722i | ||||
\(449\) | 17.7693 | + | 30.7773i | 0.838584 | + | 1.45247i | 0.891078 | + | 0.453850i | \(0.149950\pi\) |
−0.0524938 | + | 0.998621i | \(0.516717\pi\) | |||||||
\(450\) | 0.244348 | + | 4.94825i | 0.0115187 | + | 0.233263i | ||||
\(451\) | 9.26085 | + | 16.0403i | 0.436076 | + | 0.755306i | ||||
\(452\) | −0.756652 | + | 4.29119i | −0.0355899 | + | 0.201840i | ||||
\(453\) | −2.02880 | − | 0.490312i | −0.0953213 | − | 0.0230369i | ||||
\(454\) | 0.976220 | − | 0.819146i | 0.0458163 | − | 0.0384444i | ||||
\(455\) | 12.2442 | + | 17.7673i | 0.574016 | + | 0.832945i | ||||
\(456\) | 17.9443 | − | 8.91289i | 0.840318 | − | 0.417384i | ||||
\(457\) | 29.1952 | − | 10.6262i | 1.36570 | − | 0.497072i | 0.447885 | − | 0.894091i | \(-0.352177\pi\) |
0.917810 | + | 0.397019i | \(0.129955\pi\) | |||||||
\(458\) | −0.401137 | + | 0.694790i | −0.0187439 | + | 0.0324654i | ||||
\(459\) | 3.54277 | − | 18.6435i | 0.165362 | − | 0.870202i | ||||
\(460\) | 7.45889 | + | 12.9192i | 0.347773 | + | 0.602360i | ||||
\(461\) | 0.0636647 | − | 0.361060i | 0.00296516 | − | 0.0168163i | −0.983289 | − | 0.182050i | \(-0.941727\pi\) |
0.986254 | + | 0.165234i | \(0.0528378\pi\) | |||||||
\(462\) | 7.23691 | − | 8.93231i | 0.336692 | − | 0.415569i | ||||
\(463\) | −27.1974 | − | 9.89906i | −1.26397 | − | 0.460048i | −0.378872 | − | 0.925449i | \(-0.623688\pi\) |
−0.885100 | + | 0.465401i | \(0.845910\pi\) | |||||||
\(464\) | −2.77232 | − | 1.00904i | −0.128702 | − | 0.0468436i | ||||
\(465\) | 24.2721 | + | 5.86599i | 1.12559 | + | 0.272029i | ||||
\(466\) | 1.26825 | − | 7.19263i | 0.0587508 | − | 0.333192i | ||||
\(467\) | 24.5125 | 1.13430 | 0.567151 | − | 0.823614i | \(-0.308046\pi\) | ||||
0.567151 | + | 0.823614i | \(0.308046\pi\) | |||||||
\(468\) | 7.31673 | − | 23.6760i | 0.338216 | − | 1.09443i | ||||
\(469\) | 4.35589 | − | 1.99174i | 0.201136 | − | 0.0919698i | ||||
\(470\) | 6.14453 | + | 5.15588i | 0.283426 | + | 0.237823i | ||||
\(471\) | −9.73019 | + | 22.2858i | −0.448343 | + | 1.02688i | ||||
\(472\) | 17.1260 | + | 6.23337i | 0.788290 | + | 0.286914i | ||||
\(473\) | 2.18357 | + | 0.794753i | 0.100400 | + | 0.0365428i | ||||
\(474\) | 6.02585 | − | 0.677346i | 0.276777 | − | 0.0311115i | ||||
\(475\) | −9.79393 | − | 8.21808i | −0.449376 | − | 0.377071i | ||||
\(476\) | 1.44682 | − | 15.2272i | 0.0663151 | − | 0.697937i | ||||
\(477\) | 28.9550 | + | 3.64400i | 1.32576 | + | 0.166847i | ||||
\(478\) | 12.8949 | 0.589800 | ||||||||
\(479\) | −4.36626 | + | 24.7623i | −0.199499 | + | 1.13142i | 0.706364 | + | 0.707848i | \(0.250334\pi\) |
−0.905864 | + | 0.423569i | \(0.860777\pi\) | |||||||
\(480\) | −10.6517 | + | 11.1907i | −0.486182 | + | 0.510782i | ||||
\(481\) | −10.8283 | − | 3.94118i | −0.493728 | − | 0.179702i | ||||
\(482\) | 4.19769 | + | 1.52784i | 0.191200 | + | 0.0695910i | ||||
\(483\) | −9.89581 | − | 25.7986i | −0.450275 | − | 1.17388i | ||||
\(484\) | −1.12454 | + | 6.37755i | −0.0511152 | + | 0.289889i | ||||
\(485\) | −4.53949 | − | 7.86263i | −0.206128 | − | 0.357024i | ||||
\(486\) | 8.53067 | − | 5.34455i | 0.386959 | − | 0.242434i | ||||
\(487\) | −12.9318 | + | 22.3985i | −0.585994 | + | 1.01497i | 0.408756 | + | 0.912643i | \(0.365963\pi\) |
−0.994751 | + | 0.102328i | \(0.967371\pi\) | |||||||
\(488\) | −13.0094 | + | 4.73502i | −0.588906 | + | 0.214344i | ||||
\(489\) | 1.24141 | − | 19.8062i | 0.0561386 | − | 0.895667i | ||||
\(490\) | −0.105477 | + | 7.06425i | −0.00476497 | + | 0.319130i | ||||
\(491\) | 6.43769 | − | 5.40186i | 0.290529 | − | 0.243783i | −0.485860 | − | 0.874037i | \(-0.661494\pi\) |
0.776389 | + | 0.630254i | \(0.217049\pi\) | |||||||
\(492\) | 3.69385 | + | 12.5397i | 0.166532 | + | 0.565334i | ||||
\(493\) | −1.11918 | + | 6.34717i | −0.0504052 | + | 0.285862i | ||||
\(494\) | −8.42352 | − | 14.5900i | −0.378992 | − | 0.656434i | ||||
\(495\) | −7.06631 | − | 16.7879i | −0.317607 | − | 0.754561i | ||||
\(496\) | −7.71053 | − | 13.3550i | −0.346213 | − | 0.599658i | ||||
\(497\) | 37.6966 | + | 10.4030i | 1.69092 | + | 0.466638i | ||||
\(498\) | −1.93850 | + | 4.43991i | −0.0868664 | + | 0.198957i | ||||
\(499\) | −19.5520 | + | 16.4061i | −0.875269 | + | 0.734438i | −0.965201 | − | 0.261510i | \(-0.915780\pi\) |
0.0899316 | + | 0.995948i | \(0.471335\pi\) | |||||||
\(500\) | 17.5696 | + | 6.39482i | 0.785738 | + | 0.285985i | ||||
\(501\) | −4.99144 | + | 0.561071i | −0.223001 | + | 0.0250668i | ||||
\(502\) | −0.382776 | + | 2.17083i | −0.0170841 | + | 0.0968888i | ||||
\(503\) | 7.84102 | + | 13.5810i | 0.349614 | + | 0.605549i | 0.986181 | − | 0.165673i | \(-0.0529795\pi\) |
−0.636567 | + | 0.771221i | \(0.719646\pi\) | |||||||
\(504\) | 14.5897 | − | 11.1544i | 0.649876 | − | 0.496855i | ||||
\(505\) | −3.42993 | + | 5.94081i | −0.152630 | + | 0.264363i | ||||
\(506\) | −11.5874 | − | 9.72299i | −0.515123 | − | 0.432239i | ||||
\(507\) | −23.9565 | − | 5.78972i | −1.06395 | − | 0.257130i | ||||
\(508\) | −1.87301 | − | 10.6224i | −0.0831016 | − | 0.471293i | ||||
\(509\) | −4.38431 | − | 24.8647i | −0.194331 | − | 1.10211i | −0.913368 | − | 0.407135i | \(-0.866528\pi\) |
0.719037 | − | 0.694972i | \(-0.244583\pi\) | |||||||
\(510\) | 5.31859 | + | 3.53186i | 0.235511 | + | 0.156393i | ||||
\(511\) | −16.9660 | − | 4.68205i | −0.750532 | − | 0.207122i | ||||
\(512\) | 17.2773 | 0.763557 | ||||||||
\(513\) | −4.84974 | + | 25.5213i | −0.214121 | + | 1.12679i | ||||
\(514\) | −4.56297 | + | 7.90329i | −0.201264 | + | 0.348599i | ||||
\(515\) | 10.6456 | + | 8.93275i | 0.469103 | + | 0.393624i | ||||
\(516\) | 1.36625 | + | 0.907267i | 0.0601456 | + | 0.0399402i | ||||
\(517\) | 29.0110 | + | 10.5592i | 1.27590 | + | 0.464391i | ||||
\(518\) | −2.14095 | − | 3.10670i | −0.0940681 | − | 0.136501i | ||||
\(519\) | −16.2504 | + | 17.0726i | −0.713312 | + | 0.749405i | ||||
\(520\) | 14.4555 | + | 12.1296i | 0.633917 | + | 0.531920i | ||||
\(521\) | −0.778135 | − | 1.34777i | −0.0340907 | − | 0.0590468i | 0.848477 | − | 0.529233i | \(-0.177520\pi\) |
−0.882567 | + | 0.470186i | \(0.844187\pi\) | |||||||
\(522\) | −2.87291 | + | 1.85338i | −0.125744 | + | 0.0811204i | ||||
\(523\) | 1.49945 | − | 2.59712i | 0.0655663 | − | 0.113564i | −0.831379 | − | 0.555706i | \(-0.812448\pi\) |
0.896945 | + | 0.442142i | \(0.145781\pi\) | |||||||
\(524\) | 16.0846 | + | 13.4966i | 0.702658 | + | 0.589600i | ||||
\(525\) | −10.2482 | − | 5.68400i | −0.447269 | − | 0.248070i | ||||
\(526\) | −0.191822 | − | 1.08788i | −0.00836385 | − | 0.0474338i | ||||
\(527\) | −25.8071 | + | 21.6547i | −1.12417 | + | 0.943294i | ||||
\(528\) | −4.50091 | + | 10.3088i | −0.195877 | + | 0.448633i | ||||
\(529\) | −12.5514 | + | 4.56833i | −0.545712 | + | 0.198623i | ||||
\(530\) | −4.90909 | + | 8.50280i | −0.213237 | + | 0.369338i | ||||
\(531\) | −19.8568 | + | 12.8101i | −0.861710 | + | 0.555910i | ||||
\(532\) | −1.98058 | + | 20.8447i | −0.0858690 | + | 0.903733i | ||||
\(533\) | 23.3791 | − | 8.50929i | 1.01266 | − | 0.368578i | ||||
\(534\) | 7.96762 | + | 1.92558i | 0.344793 | + | 0.0833281i | ||||
\(535\) | 3.19628 | + | 18.1270i | 0.138187 | + | 0.783698i | ||||
\(536\) | 3.20873 | − | 2.69244i | 0.138596 | − | 0.116296i | ||||
\(537\) | 25.2001 | + | 16.7343i | 1.08746 | + | 0.722139i | ||||
\(538\) | 2.71294 | − | 15.3858i | 0.116963 | − | 0.663330i | ||||
\(539\) | 8.91802 | + | 25.6891i | 0.384126 | + | 1.10651i | ||||
\(540\) | −2.06435 | − | 12.6888i | −0.0888353 | − | 0.546039i | ||||
\(541\) | −9.55593 | − | 16.5514i | −0.410842 | − | 0.711598i | 0.584140 | − | 0.811653i | \(-0.301432\pi\) |
−0.994982 | + | 0.100054i | \(0.968098\pi\) | |||||||
\(542\) | −7.79151 | − | 6.53785i | −0.334674 | − | 0.280825i | ||||
\(543\) | −11.8453 | + | 5.88353i | −0.508330 | + | 0.252486i | ||||
\(544\) | −3.61941 | − | 20.5267i | −0.155181 | − | 0.880076i | ||||
\(545\) | −16.8509 | + | 14.1396i | −0.721815 | + | 0.605674i | ||||
\(546\) | −10.1281 | − | 11.6569i | −0.433443 | − | 0.498869i | ||||
\(547\) | −3.22747 | + | 1.17470i | −0.137997 | + | 0.0502266i | −0.410095 | − | 0.912043i | \(-0.634505\pi\) |
0.272099 | + | 0.962269i | \(0.412282\pi\) | |||||||
\(548\) | −4.25661 | −0.181833 | ||||||||
\(549\) | 5.29991 | − | 17.1499i | 0.226195 | − | 0.731939i | ||||
\(550\) | −6.41531 | −0.273550 | ||||||||
\(551\) | 1.53206 | − | 8.68874i | 0.0652679 | − | 0.370153i | ||||
\(552\) | −14.3443 | − | 19.4465i | −0.610532 | − | 0.827697i | ||||
\(553\) | −6.15867 | + | 12.9540i | −0.261893 | + | 0.550859i | ||||
\(554\) | 0.0840469 | + | 0.476654i | 0.00357081 | + | 0.0202511i | ||||
\(555\) | −5.94052 | + | 0.667755i | −0.252161 | + | 0.0283446i | ||||
\(556\) | 1.75755 | − | 0.639698i | 0.0745369 | − | 0.0271292i | ||||
\(557\) | 15.1957 | 0.643861 | 0.321931 | − | 0.946763i | \(-0.395668\pi\) | ||||
0.321931 | + | 0.946763i | \(0.395668\pi\) | |||||||
\(558\) | −17.7307 | − | 2.23142i | −0.750601 | − | 0.0944634i | ||||
\(559\) | 1.56067 | − | 2.70316i | 0.0660094 | − | 0.114332i | ||||
\(560\) | −1.73930 | − | 6.69055i | −0.0734989 | − | 0.282727i | ||||
\(561\) | 23.8858 | + | 5.77263i | 1.00846 | + | 0.243721i | ||||
\(562\) | −18.3921 | − | 6.69417i | −0.775823 | − | 0.282377i | ||||
\(563\) | 17.7643 | − | 14.9060i | 0.748676 | − | 0.628214i | −0.186476 | − | 0.982460i | \(-0.559707\pi\) |
0.935153 | + | 0.354245i | \(0.115262\pi\) | |||||||
\(564\) | 18.1521 | + | 12.0540i | 0.764339 | + | 0.507566i | ||||
\(565\) | 4.04272 | − | 1.47143i | 0.170079 | − | 0.0619035i | ||||
\(566\) | 7.98492 | 0.335631 | ||||||||
\(567\) | 0.0940551 | + | 23.8116i | 0.00394994 | + | 0.999992i | ||||
\(568\) | 34.1991 | 1.43496 | ||||||||
\(569\) | 0.215396 | − | 0.0783976i | 0.00902985 | − | 0.00328660i | −0.337501 | − | 0.941325i | \(-0.609582\pi\) |
0.346531 | + | 0.938038i | \(0.387360\pi\) | |||||||
\(570\) | −7.28069 | − | 4.83481i | −0.304955 | − | 0.202508i | ||||
\(571\) | −7.79350 | + | 6.53953i | −0.326148 | + | 0.273671i | −0.791128 | − | 0.611650i | \(-0.790506\pi\) |
0.464980 | + | 0.885321i | \(0.346061\pi\) | |||||||
\(572\) | 30.1536 | + | 10.9750i | 1.26079 | + | 0.458888i | ||||
\(573\) | 31.3316 | + | 7.57209i | 1.30890 | + | 0.316329i | ||||
\(574\) | 7.85259 | + | 2.16705i | 0.327761 | + | 0.0904509i | ||||
\(575\) | −7.70979 | + | 13.3537i | −0.321520 | + | 0.556890i | ||||
\(576\) | 0.619918 | − | 0.817513i | 0.0258299 | − | 0.0340630i | ||||
\(577\) | −29.5660 | −1.23085 | −0.615424 | − | 0.788196i | \(-0.711015\pi\) | ||||
−0.615424 | + | 0.788196i | \(0.711015\pi\) | |||||||
\(578\) | 2.22212 | − | 0.808786i | 0.0924280 | − | 0.0336411i | ||||
\(579\) | 21.6773 | − | 2.43667i | 0.900877 | − | 0.101265i | ||||
\(580\) | 0.758163 | + | 4.29976i | 0.0314810 | + | 0.178538i | ||||
\(581\) | −6.50271 | − | 9.43598i | −0.269778 | − | 0.391470i | ||||
\(582\) | 3.85693 | + | 5.22883i | 0.159875 | + | 0.216742i | ||||
\(583\) | −6.56211 | + | 37.2156i | −0.271775 | + | 1.54131i | ||||
\(584\) | −15.3919 | −0.636922 | ||||||||
\(585\) | −23.8562 | + | 5.43184i | −0.986334 | + | 0.224579i | ||||
\(586\) | −1.86337 | −0.0769749 | ||||||||
\(587\) | −9.65370 | + | 3.51366i | −0.398451 | + | 0.145024i | −0.533470 | − | 0.845819i | \(-0.679112\pi\) |
0.135020 | + | 0.990843i | \(0.456890\pi\) | |||||||
\(588\) | 1.85889 | + | 19.1023i | 0.0766594 | + | 0.787767i | ||||
\(589\) | 35.3277 | − | 29.6435i | 1.45565 | − | 1.22144i | ||||
\(590\) | −1.38049 | − | 7.82916i | −0.0568339 | − | 0.322321i | ||||
\(591\) | −13.9204 | + | 6.91424i | −0.572609 | + | 0.284414i | ||||
\(592\) | 2.82804 | + | 2.37300i | 0.116232 | + | 0.0975299i | ||||
\(593\) | −5.67774 | − | 9.83413i | −0.233157 | − | 0.403839i | 0.725579 | − | 0.688139i | \(-0.241572\pi\) |
−0.958735 | + | 0.284300i | \(0.908239\pi\) | |||||||
\(594\) | 6.36744 | + | 11.3743i | 0.261259 | + | 0.466693i | ||||
\(595\) | −13.7343 | + | 6.28001i | −0.563051 | + | 0.257455i | ||||
\(596\) | 4.88860 | − | 27.7246i | 0.200245 | − | 1.13564i | ||||
\(597\) | −24.2655 | − | 16.1137i | −0.993119 | − | 0.659490i | ||||
\(598\) | −15.5649 | + | 13.0605i | −0.636497 | + | 0.534085i | ||||
\(599\) | 5.88663 | + | 33.3847i | 0.240521 | + | 1.36406i | 0.830668 | + | 0.556768i | \(0.187959\pi\) |
−0.590147 | + | 0.807296i | \(0.700930\pi\) | |||||||
\(600\) | −9.96179 | − | 2.40752i | −0.406688 | − | 0.0982868i | ||||
\(601\) | −22.9226 | + | 8.34314i | −0.935031 | + | 0.340324i | −0.764202 | − | 0.644977i | \(-0.776867\pi\) |
−0.170829 | + | 0.985301i | \(0.554645\pi\) | |||||||
\(602\) | 0.929444 | − | 0.424989i | 0.0378813 | − | 0.0173213i | ||||
\(603\) | 0.267859 | + | 5.42435i | 0.0109080 | + | 0.220897i | ||||
\(604\) | 0.953783 | − | 1.65200i | 0.0388089 | − | 0.0672190i | ||||
\(605\) | 6.00828 | − | 2.18684i | 0.244271 | − | 0.0889075i | ||||
\(606\) | 1.96437 | − | 4.49916i | 0.0797971 | − | 0.182766i | ||||
\(607\) | −7.53409 | + | 6.32185i | −0.305799 | + | 0.256596i | −0.782753 | − | 0.622332i | \(-0.786185\pi\) |
0.476954 | + | 0.878928i | \(0.341741\pi\) | |||||||
\(608\) | 4.95467 | + | 28.0993i | 0.200938 | + | 1.13958i | ||||
\(609\) | −0.139134 | − | 8.08587i | −0.00563799 | − | 0.327656i | ||||
\(610\) | 4.62612 | + | 3.88177i | 0.187306 | + | 0.157168i | ||||
\(611\) | 20.7352 | − | 35.9144i | 0.838857 | − | 1.45294i | ||||
\(612\) | 15.4296 | + | 7.92053i | 0.623703 | + | 0.320168i | ||||
\(613\) | 19.3354 | + | 33.4899i | 0.780951 | + | 1.35265i | 0.931388 | + | 0.364027i | \(0.118598\pi\) |
−0.150438 | + | 0.988619i | \(0.548068\pi\) | |||||||
\(614\) | 7.15497 | + | 6.00373i | 0.288751 | + | 0.242291i | ||||
\(615\) | 8.89858 | − | 9.34885i | 0.358826 | − | 0.376982i | ||||
\(616\) | 13.4945 | + | 19.5816i | 0.543708 | + | 0.788966i | ||||
\(617\) | −4.43231 | − | 1.61323i | −0.178438 | − | 0.0649461i | 0.251256 | − | 0.967921i | \(-0.419156\pi\) |
−0.429694 | + | 0.902975i | \(0.641379\pi\) | |||||||
\(618\) | −8.28503 | − | 5.50174i | −0.333273 | − | 0.221313i | ||||
\(619\) | −33.0892 | − | 27.7652i | −1.32997 | − | 1.11598i | −0.984085 | − | 0.177699i | \(-0.943135\pi\) |
−0.345884 | − | 0.938277i | \(-0.612421\pi\) | |||||||
\(620\) | −11.4109 | + | 19.7642i | −0.458271 | + | 0.793749i | ||||
\(621\) | 31.3283 | + | 0.415294i | 1.25716 | + | 0.0166652i | ||||
\(622\) | −13.1806 | −0.528494 | ||||||||
\(623\) | −13.8123 | + | 13.6076i | −0.553378 | + | 0.545178i | ||||
\(624\) | 12.5872 | + | 8.35864i | 0.503891 | + | 0.334613i | ||||
\(625\) | −0.985257 | − | 5.58767i | −0.0394103 | − | 0.223507i | ||||
\(626\) | 0.615997 | + | 3.49349i | 0.0246202 | + | 0.139628i | ||||
\(627\) | −32.6977 | − | 7.90224i | −1.30582 | − | 0.315585i | ||||
\(628\) | −17.0249 | − | 14.2856i | −0.679368 | − | 0.570057i | ||||
\(629\) | 4.03248 | − | 6.98445i | 0.160785 | − | 0.278488i | ||||
\(630\) | −7.39580 | − | 3.07868i | −0.294656 | − | 0.122658i | ||||
\(631\) | −8.12350 | − | 14.0703i | −0.323391 | − | 0.560130i | 0.657794 | − | 0.753198i | \(-0.271490\pi\) |
−0.981185 | + | 0.193068i | \(0.938156\pi\) | |||||||
\(632\) | −2.17820 | + | 12.3532i | −0.0866443 | + | 0.491384i | ||||
\(633\) | −22.9880 | + | 2.58400i | −0.913691 | + | 0.102705i | ||||
\(634\) | 11.0883 | + | 4.03582i | 0.440374 | + | 0.160283i | ||||
\(635\) | −8.15806 | + | 6.84542i | −0.323743 | + | 0.271652i | ||||
\(636\) | −10.6722 | + | 24.4434i | −0.423181 | + | 0.969245i | ||||
\(637\) | 36.0631 | − | 5.80515i | 1.42887 | − | 0.230008i | ||||
\(638\) | −2.21355 | − | 3.83399i | −0.0876354 | − | 0.151789i | ||||
\(639\) | −26.7923 | + | 35.3321i | −1.05989 | + | 1.39772i | ||||
\(640\) | −8.74725 | − | 15.1507i | −0.345765 | − | 0.598883i | ||||
\(641\) | −2.91125 | + | 16.5105i | −0.114987 | + | 0.652125i | 0.871769 | + | 0.489917i | \(0.162973\pi\) |
−0.986756 | + | 0.162209i | \(0.948138\pi\) | |||||||
\(642\) | −3.72221 | − | 12.6360i | −0.146904 | − | 0.498702i | ||||
\(643\) | −7.19938 | + | 6.04100i | −0.283916 | + | 0.238234i | −0.773612 | − | 0.633659i | \(-0.781552\pi\) |
0.489696 | + | 0.871893i | \(0.337108\pi\) | |||||||
\(644\) | 25.1729 | − | 2.01311i | 0.991950 | − | 0.0793275i | ||||
\(645\) | 0.101294 | − | 1.61610i | 0.00398843 | − | 0.0636337i | ||||
\(646\) | 11.0799 | − | 4.03277i | 0.435934 | − | 0.158667i | ||||
\(647\) | 20.6797 | − | 35.8183i | 0.813003 | − | 1.40816i | −0.0977500 | − | 0.995211i | \(-0.531165\pi\) |
0.910753 | − | 0.412952i | \(-0.135502\pi\) | |||||||
\(648\) | 5.61893 | + | 20.0517i | 0.220732 | + | 0.787706i | ||||
\(649\) | −15.2995 | − | 26.4994i | −0.600556 | − | 1.04019i | ||||
\(650\) | −1.49640 | + | 8.48653i | −0.0586938 | + | 0.332869i | ||||
\(651\) | 26.6104 | − | 32.8445i | 1.04294 | − | 1.28728i | ||||
\(652\) | 17.0432 | + | 6.20323i | 0.667465 | + | 0.242937i | ||||
\(653\) | 40.2772 | + | 14.6597i | 1.57617 | + | 0.573679i | 0.974367 | − | 0.224965i | \(-0.0722268\pi\) |
0.601803 | + | 0.798644i | \(0.294449\pi\) | |||||||
\(654\) | 10.8537 | − | 11.4028i | 0.424412 | − | 0.445887i | ||||
\(655\) | 3.59987 | − | 20.4159i | 0.140659 | − | 0.797715i | ||||
\(656\) | −7.97074 | −0.311205 | ||||||||
\(657\) | 12.0583 | − | 15.9018i | 0.470441 | − | 0.620390i | ||||
\(658\) | 12.3487 | − | 5.64644i | 0.481401 | − | 0.220121i | ||||
\(659\) | −32.2237 | − | 27.0389i | −1.25526 | − | 1.05328i | −0.996171 | − | 0.0874302i | \(-0.972135\pi\) |
−0.259085 | − | 0.965854i | \(-0.583421\pi\) | |||||||
\(660\) | 16.5426 | − | 1.85950i | 0.643920 | − | 0.0723809i | ||||
\(661\) | 36.4064 | + | 13.2509i | 1.41605 | + | 0.515399i | 0.932898 | − | 0.360140i | \(-0.117271\pi\) |
0.483148 | + | 0.875539i | \(0.339493\pi\) | |||||||
\(662\) | −19.6808 | − | 7.16324i | −0.764918 | − | 0.278407i | ||||
\(663\) | 13.2079 | − | 30.2510i | 0.512951 | − | 1.17485i | ||||
\(664\) | −7.67714 | − | 6.44188i | −0.297931 | − | 0.249994i | ||||
\(665\) | 18.8010 | − | 8.59679i | 0.729073 | − | 0.333369i | ||||
\(666\) | 4.17138 | − | 0.949783i | 0.161638 | − | 0.0368034i | ||||
\(667\) | −10.6408 | −0.412014 | ||||||||
\(668\) | 0.797143 | − | 4.52082i | 0.0308424 | − | 0.174916i | ||||
\(669\) | 34.5713 | + | 8.35506i | 1.33661 | + | 0.323025i | ||||
\(670\) | −1.71695 | − | 0.624918i | −0.0663315 | − | 0.0241427i | ||||
\(671\) | 21.8419 | + | 7.94981i | 0.843198 | + | 0.306899i | ||||
\(672\) | 9.36653 | + | 24.4187i | 0.361322 | + | 0.941973i | ||||
\(673\) | −6.33835 | + | 35.9466i | −0.244325 | + | 1.38564i | 0.577729 | + | 0.816229i | \(0.303939\pi\) |
−0.822054 | + | 0.569409i | \(0.807172\pi\) | |||||||
\(674\) | 9.42291 | + | 16.3210i | 0.362957 | + | 0.628660i | ||||
\(675\) | 10.2916 | − | 8.40571i | 0.396122 | − | 0.323536i | ||||
\(676\) | 11.2625 | − | 19.5072i | 0.433173 | − | 0.750277i | ||||
\(677\) | −20.2879 | + | 7.38418i | −0.779726 | + | 0.283797i | −0.701058 | − | 0.713104i | \(-0.747289\pi\) |
−0.0786677 | + | 0.996901i | \(0.525067\pi\) | |||||||
\(678\) | −2.75746 | + | 1.36963i | −0.105900 | + | 0.0526002i | ||||
\(679\) | −15.3202 | + | 1.22518i | −0.587937 | + | 0.0470181i | ||||
\(680\) | −10.1172 | + | 8.48937i | −0.387978 | + | 0.325553i | ||||
\(681\) | −3.32237 | − | 0.802937i | −0.127313 | − | 0.0307686i | ||||
\(682\) | 4.01834 | − | 22.7891i | 0.153870 | − | 0.872641i | ||||
\(683\) | −21.5556 | − | 37.3353i | −0.824801 | − | 1.42860i | −0.902071 | − | 0.431587i | \(-0.857954\pi\) |
0.0772703 | − | 0.997010i | \(-0.475380\pi\) | |||||||
\(684\) | −21.1218 | − | 10.8425i | −0.807611 | − | 0.414574i | ||||
\(685\) | 2.10134 | + | 3.63962i | 0.0802880 | + | 0.139063i | ||||
\(686\) | 10.7234 | + | 5.29593i | 0.409423 | + | 0.202199i | ||||
\(687\) | 2.13834 | − | 0.240364i | 0.0815828 | − | 0.00917046i | ||||
\(688\) | −0.766042 | + | 0.642785i | −0.0292051 | + | 0.0245060i | ||||
\(689\) | 47.7002 | + | 17.3615i | 1.81723 | + | 0.661419i | ||||
\(690\) | −4.21769 | + | 9.66012i | −0.160565 | + | 0.367754i | ||||
\(691\) | 3.60542 | − | 20.4473i | 0.137157 | − | 0.777853i | −0.836177 | − | 0.548459i | \(-0.815215\pi\) |
0.973334 | − | 0.229394i | \(-0.0736744\pi\) | |||||||
\(692\) | −10.7707 | − | 18.6555i | −0.409442 | − | 0.709174i | ||||
\(693\) | −30.8022 | − | 1.39910i | −1.17008 | − | 0.0531472i | ||||
\(694\) | −5.35781 | + | 9.28000i | −0.203380 | + | 0.352264i | ||||
\(695\) | −1.41462 | − | 1.18700i | −0.0536595 | − | 0.0450256i | ||||
\(696\) | −1.99843 | − | 6.78417i | −0.0757502 | − | 0.257153i | ||||
\(697\) | 3.02371 | + | 17.1483i | 0.114531 | + | 0.649538i | ||||
\(698\) | 0.249113 | + | 1.41279i | 0.00942906 | + | 0.0534748i | ||||
\(699\) | −17.5442 | + | 8.71419i | −0.663584 | + | 0.329601i | ||||
\(700\) | 7.62967 | − | 7.51660i | 0.288374 | − | 0.284101i | ||||
\(701\) | −30.2790 | −1.14362 | −0.571811 | − | 0.820385i | \(-0.693759\pi\) | ||||
−0.571811 | + | 0.820385i | \(0.693759\pi\) | |||||||
\(702\) | 16.5318 | − | 5.77009i | 0.623952 | − | 0.217778i | ||||
\(703\) | −5.52011 | + | 9.56112i | −0.208195 | + | 0.360604i | ||||
\(704\) | 1.01772 | + | 0.853969i | 0.0383568 | + | 0.0321852i | ||||
\(705\) | 1.34580 | − | 21.4716i | 0.0506856 | − | 0.808667i | ||||
\(706\) | −8.00858 | − | 2.91488i | −0.301407 | − | 0.109703i | ||||
\(707\) | 6.58949 | + | 9.56190i | 0.247823 | + | 0.359612i | ||||
\(708\) | −6.10246 | − | 20.7163i | −0.229344 | − | 0.778568i | ||||
\(709\) | 7.66586 | + | 6.43242i | 0.287898 | + | 0.241575i | 0.775286 | − | 0.631611i | \(-0.217606\pi\) |
−0.487388 | + | 0.873185i | \(0.662050\pi\) | |||||||
\(710\) | −7.45894 | − | 12.9193i | −0.279929 | − | 0.484852i | ||||
\(711\) | −11.0560 | − | 11.9281i | −0.414633 | − | 0.447340i | ||||
\(712\) | −8.47829 | + | 14.6848i | −0.317737 | + | 0.550337i | ||||
\(713\) | −42.6074 | − | 35.7518i | −1.59566 | − | 1.33892i | ||||
\(714\) | 9.26547 | − | 5.56413i | 0.346752 | − | 0.208232i | ||||
\(715\) | −5.50155 | − | 31.2009i | −0.205746 | − | 1.16685i | ||||
\(716\) | −21.1786 | + | 17.7710i | −0.791482 | + | 0.664133i | ||||
\(717\) | −20.5305 | − | 27.8332i | −0.766726 | − | 1.03945i | ||||
\(718\) | −5.64137 | + | 2.05329i | −0.210534 | + | 0.0766282i | ||||
\(719\) | −15.1427 | + | 26.2279i | −0.564727 | + | 0.978136i | 0.432348 | + | 0.901707i | \(0.357685\pi\) |
−0.997075 | + | 0.0764295i | \(0.975648\pi\) | |||||||
\(720\) | 7.77718 | + | 0.978761i | 0.289838 | + | 0.0364763i | ||||
\(721\) | 21.3946 | − | 9.78268i | 0.796775 | − | 0.364326i | ||||
\(722\) | −3.63775 | + | 1.32403i | −0.135383 | + | 0.0492753i | ||||
\(723\) | −3.38554 | − | 11.4931i | −0.125910 | − | 0.427432i | ||||
\(724\) | −2.09900 | − | 11.9040i | −0.0780087 | − | 0.442409i | ||||
\(725\) | −3.45712 | + | 2.90087i | −0.128394 | + | 0.107736i | ||||
\(726\) | −4.09813 | + | 2.03554i | −0.152096 | + | 0.0755458i | ||||
\(727\) | 1.58573 | − | 8.99314i | 0.0588116 | − | 0.333537i | −0.941179 | − | 0.337909i | \(-0.890280\pi\) |
0.999990 | + | 0.00437166i | \(0.00139155\pi\) | |||||||
\(728\) | 29.0513 | − | 13.2837i | 1.07671 | − | 0.492328i | ||||
\(729\) | −25.1180 | − | 9.90384i | −0.930296 | − | 0.366809i | ||||
\(730\) | 3.35703 | + | 5.81455i | 0.124249 | + | 0.215206i | ||||
\(731\) | 1.67349 | + | 1.40423i | 0.0618963 | + | 0.0519371i | ||||
\(732\) | 13.6664 | + | 9.07528i | 0.505124 | + | 0.335432i | ||||
\(733\) | −6.02255 | − | 34.1556i | −0.222448 | − | 1.26156i | −0.867504 | − | 0.497430i | \(-0.834277\pi\) |
0.645057 | − | 0.764135i | \(-0.276834\pi\) | |||||||
\(734\) | −10.5749 | + | 8.87340i | −0.390327 | + | 0.327523i | ||||
\(735\) | 15.4158 | − | 11.0196i | 0.568621 | − | 0.406464i | ||||
\(736\) | 32.3370 | − | 11.7697i | 1.19196 | − | 0.433837i | ||||
\(737\) | −7.03257 | −0.259048 | ||||||||
\(738\) | −5.58111 | + | 7.36005i | −0.205444 | + | 0.270927i | ||||
\(739\) | −45.3929 | −1.66980 | −0.834902 | − | 0.550399i | \(-0.814476\pi\) | ||||
−0.834902 | + | 0.550399i | \(0.814476\pi\) | |||||||
\(740\) | 0.948714 | − | 5.38043i | 0.0348754 | − | 0.197788i | ||||
\(741\) | −18.0804 | + | 41.4111i | −0.664201 | + | 1.52127i | ||||
\(742\) | 9.43122 | + | 13.6855i | 0.346231 | + | 0.502410i | ||||
\(743\) | −4.09123 | − | 23.2025i | −0.150093 | − | 0.851219i | −0.963136 | − | 0.269015i | \(-0.913302\pi\) |
0.813043 | − | 0.582204i | \(-0.197809\pi\) | |||||||
\(744\) | 14.7920 | − | 33.8793i | 0.542300 | − | 1.24207i | ||||
\(745\) | −26.1193 | + | 9.50665i | −0.956937 | + | 0.348297i | ||||
\(746\) | −6.97430 | −0.255347 | ||||||||
\(747\) | 12.6697 | − | 2.88477i | 0.463561 | − | 0.105548i | ||||
\(748\) | −11.2293 | + | 19.4496i | −0.410582 | + | 0.711150i | ||||
\(749\) | 30.0365 | + | 8.28906i | 1.09751 | + | 0.302876i | ||||
\(750\) | 3.73306 | + | 12.6728i | 0.136312 | + | 0.462746i | ||||
\(751\) | −1.26690 | − | 0.461113i | −0.0462298 | − | 0.0168263i | 0.318802 | − | 0.947821i | \(-0.396720\pi\) |
−0.365032 | + | 0.930995i | \(0.618942\pi\) | |||||||
\(752\) | −10.1777 | + | 8.54010i | −0.371142 | + | 0.311425i | ||||
\(753\) | 5.29507 | − | 2.63005i | 0.192963 | − | 0.0958445i | ||||
\(754\) | −5.58813 | + | 2.03391i | −0.203508 | + | 0.0740708i | ||||
\(755\) | −1.88339 | −0.0685438 | ||||||||
\(756\) | −20.8996 | − | 6.06683i | −0.760111 | − | 0.220648i | ||||
\(757\) | 4.51470 | 0.164089 | 0.0820447 | − | 0.996629i | \(-0.473855\pi\) | ||||
0.0820447 | + | 0.996629i | \(0.473855\pi\) | |||||||
\(758\) | −18.1755 | + | 6.61532i | −0.660162 | + | 0.240279i | ||||
\(759\) | −2.53791 | + | 40.4913i | −0.0921204 | + | 1.46974i | ||||
\(760\) | 13.8496 | − | 11.6212i | 0.502379 | − | 0.421546i | ||||
\(761\) | −10.3614 | − | 3.77123i | −0.375599 | − | 0.136707i | 0.147321 | − | 0.989089i | \(-0.452935\pi\) |
−0.522920 | + | 0.852382i | \(0.675157\pi\) | |||||||
\(762\) | 5.25459 | − | 5.52047i | 0.190354 | − | 0.199986i | ||||
\(763\) | 9.36905 | + | 36.0398i | 0.339182 | + | 1.30473i | ||||
\(764\) | −14.7297 | + | 25.5125i | −0.532900 | + | 0.923010i | ||||
\(765\) | −0.844568 | − | 17.1032i | −0.0305354 | − | 0.618366i | ||||
\(766\) | 9.64257 | 0.348400 | ||||||||
\(767\) | −38.6236 | + | 14.0578i | −1.39462 | + | 0.507599i | ||||
\(768\) | 8.13525 | + | 11.0289i | 0.293555 | + | 0.397973i | ||||
\(769\) | −5.27491 | − | 29.9155i | −0.190218 | − | 1.07878i | −0.919066 | − | 0.394105i | \(-0.871055\pi\) |
0.728847 | − | 0.684676i | \(-0.240056\pi\) | |||||||
\(770\) | 4.45408 | − | 9.36857i | 0.160514 | − | 0.337620i | ||||
\(771\) | 24.3238 | − | 2.73416i | 0.876001 | − | 0.0984683i | ||||
\(772\) | −3.46191 | + | 19.6335i | −0.124597 | + | 0.706624i | ||||
\(773\) | 14.7603 | 0.530889 | 0.265445 | − | 0.964126i | \(-0.414481\pi\) | ||||
0.265445 | + | 0.964126i | \(0.414481\pi\) | |||||||
\(774\) | 0.0571547 | + | 1.15743i | 0.00205438 | + | 0.0416029i | ||||
\(775\) | −23.5894 | −0.847356 | ||||||||
\(776\) | −12.6302 | + | 4.59702i | −0.453398 | + | 0.165023i | ||||
\(777\) | −3.29700 | + | 9.56746i | −0.118279 | + | 0.343231i | ||||
\(778\) | −5.78374 | + | 4.85313i | −0.207357 | + | 0.173993i | ||||
\(779\) | −4.13920 | − | 23.4745i | −0.148302 | − | 0.841063i | ||||
\(780\) | 1.39880 | − | 22.3172i | 0.0500850 | − | 0.799085i | ||||
\(781\) | −43.9849 | − | 36.9077i | −1.57390 | − | 1.32066i | ||||
\(782\) | −7.11035 | − | 12.3155i | −0.254266 | − | 0.440401i | ||||
\(783\) | 8.57453 | + | 3.25022i | 0.306429 | + | 0.116153i | ||||
\(784\) | −11.4930 | − | 2.20393i | −0.410464 | − | 0.0787118i | ||||
\(785\) | −3.81033 | + | 21.6095i | −0.135997 | + | 0.771275i | ||||
\(786\) | −0.928079 | + | 14.8071i | −0.0331035 | + | 0.528152i | ||||
\(787\) | 38.1223 | − | 31.9884i | 1.35891 | − | 1.14026i | 0.382596 | − | 0.923916i | \(-0.375030\pi\) |
0.976316 | − | 0.216348i | \(-0.0694145\pi\) | |||||||
\(788\) | −2.46671 | − | 13.9894i | −0.0878730 | − | 0.498353i | ||||
\(789\) | −2.04273 | + | 2.14609i | −0.0727232 | + | 0.0764030i | ||||
\(790\) | 5.14170 | − | 1.87143i | 0.182933 | − | 0.0665823i | ||||
\(791\) | 0.688882 | − | 7.25018i | 0.0244938 | − | 0.257787i | ||||
\(792\) | −26.2923 | + | 5.98650i | −0.934256 | + | 0.212721i | ||||
\(793\) | 15.6112 | − | 27.0394i | 0.554370 | − | 0.960197i | ||||
\(794\) | 10.1892 | − | 3.70857i | 0.361602 | − | 0.131612i | ||||
\(795\) | 26.1689 | − | 2.94156i | 0.928115 | − | 0.104326i | ||||
\(796\) | 20.3932 | − | 17.1119i | 0.722817 | − | 0.606515i | ||||
\(797\) | −7.86822 | − | 44.6229i | −0.278707 | − | 1.58062i | −0.726935 | − | 0.686706i | \(-0.759056\pi\) |
0.448229 | − | 0.893919i | \(-0.352055\pi\) | |||||||
\(798\) | −12.6836 | + | 7.61682i | −0.448996 | + | 0.269632i | ||||
\(799\) | 22.2341 | + | 18.6567i | 0.786587 | + | 0.660025i | ||||
\(800\) | 7.29742 | − | 12.6395i | 0.258003 | − | 0.446874i | ||||
\(801\) | −8.52926 | − | 20.2636i | −0.301367 | − | 0.715978i | ||||
\(802\) | −0.535659 | − | 0.927789i | −0.0189148 | − | 0.0327614i | ||||
\(803\) | 19.7962 | + | 16.6110i | 0.698592 | + | 0.586189i | ||||
\(804\) | −4.82463 | − | 1.16600i | −0.170152 | − | 0.0411216i | ||||
\(805\) | −14.1483 | − | 20.5303i | −0.498661 | − | 0.723598i | ||||
\(806\) | −29.2094 | − | 10.6314i | −1.02886 | − | 0.374474i | ||||
\(807\) | −37.5290 | + | 18.6406i | −1.32108 | + | 0.656180i | ||||
\(808\) | 7.77959 | + | 6.52785i | 0.273685 | + | 0.229649i | ||||
\(809\) | −12.9947 | + | 22.5074i | −0.456868 | + | 0.791319i | −0.998794 | − | 0.0491074i | \(-0.984362\pi\) |
0.541925 | + | 0.840427i | \(0.317696\pi\) | |||||||
\(810\) | 6.34935 | − | 6.49599i | 0.223093 | − | 0.228246i | ||||
\(811\) | 37.8470 | 1.32899 | 0.664494 | − | 0.747293i | \(-0.268647\pi\) | ||||
0.664494 | + | 0.747293i | \(0.268647\pi\) | |||||||
\(812\) | 7.12471 | + | 1.96618i | 0.250028 | + | 0.0689994i | ||||
\(813\) | −1.70652 | + | 27.2268i | −0.0598503 | + | 0.954886i | ||||
\(814\) | 0.961974 | + | 5.45562i | 0.0337172 | + | 0.191220i | ||||
\(815\) | −3.10956 | − | 17.6352i | −0.108923 | − | 0.617733i | ||||
\(816\) | −7.29100 | + | 7.65992i | −0.255236 | + | 0.268151i | ||||
\(817\) | −2.29086 | − | 1.92226i | −0.0801472 | − | 0.0672515i | ||||
\(818\) | 5.61364 | − | 9.72311i | 0.196276 | − | 0.339961i | ||||
\(819\) | −9.03557 | + | 40.4205i | −0.315728 | + | 1.41241i | ||||
\(820\) | 5.89798 | + | 10.2156i | 0.205966 | + | 0.356744i | ||||
\(821\) | 5.27240 | − | 29.9013i | 0.184008 | − | 1.04356i | −0.743215 | − | 0.669053i | \(-0.766700\pi\) |
0.927223 | − | 0.374510i | \(-0.122189\pi\) | |||||||
\(822\) | −1.78538 | − | 2.42043i | −0.0622722 | − | 0.0844223i | ||||
\(823\) | 38.0151 | + | 13.8364i | 1.32512 | + | 0.482306i | 0.905097 | − | 0.425206i | \(-0.139798\pi\) |
0.420027 | + | 0.907512i | \(0.362021\pi\) | |||||||
\(824\) | 15.7601 | − | 13.2243i | 0.549030 | − | 0.460690i | ||||
\(825\) | 10.2141 | + | 13.8472i | 0.355608 | + | 0.482097i | ||||
\(826\) | −12.9729 | − | 3.58009i | −0.451386 | − | 0.124567i | ||||
\(827\) | −4.78968 | − | 8.29596i | −0.166553 | − | 0.288479i | 0.770652 | − | 0.637256i | \(-0.219930\pi\) |
−0.937206 | + | 0.348777i | \(0.886597\pi\) | |||||||
\(828\) | −8.45455 | + | 27.3579i | −0.293816 | + | 0.950752i | ||||
\(829\) | 14.9886 | + | 25.9609i | 0.520574 | + | 0.901661i | 0.999714 | + | 0.0239223i | \(0.00761542\pi\) |
−0.479140 | + | 0.877739i | \(0.659051\pi\) | |||||||
\(830\) | −0.759116 | + | 4.30516i | −0.0263493 | + | 0.149434i | ||||
\(831\) | 0.895023 | − | 0.940311i | 0.0310480 | − | 0.0326190i | ||||
\(832\) | 1.36707 | − | 1.14710i | 0.0473945 | − | 0.0397687i | ||||
\(833\) | −0.381671 | + | 25.5621i | −0.0132241 | + | 0.885676i | ||||
\(834\) | 1.10093 | + | 0.731084i | 0.0381222 | + | 0.0253154i | ||||
\(835\) | −4.25906 | + | 1.55017i | −0.147391 | + | 0.0536459i | ||||
\(836\) | 15.3719 | − | 26.6249i | 0.531648 | − | 0.920841i | ||||
\(837\) | 23.4133 | + | 41.8238i | 0.809283 | + | 1.44564i | ||||
\(838\) | 6.33309 | + | 10.9692i | 0.218773 | + | 0.378926i | ||||
\(839\) | 5.87222 | − | 33.3030i | 0.202731 | − | 1.14975i | −0.698238 | − | 0.715865i | \(-0.746032\pi\) |
0.900970 | − | 0.433882i | \(-0.142856\pi\) | |||||||
\(840\) | 10.4322 | − | 12.8761i | 0.359944 | − | 0.444269i | ||||
\(841\) | 24.3246 | + | 8.85343i | 0.838779 | + | 0.305291i | ||||
\(842\) | 16.5033 | + | 6.00672i | 0.568742 | + | 0.207005i | ||||
\(843\) | 14.8337 | + | 50.3566i | 0.510898 | + | 1.73437i | ||||
\(844\) | 3.67123 | − | 20.8206i | 0.126369 | − | 0.716675i | ||||
\(845\) | −22.2396 | −0.765064 | ||||||||
\(846\) | 0.759362 | + | 15.3777i | 0.0261074 | + | 0.528696i | ||||
\(847\) | 1.02382 | − | 10.7752i | 0.0351787 | − | 0.370240i | ||||
\(848\) | −12.4579 | − | 10.4534i | −0.427807 | − | 0.358972i | ||||
\(849\) | −12.7131 | − | 17.2351i | −0.436313 | − | 0.591508i | ||||
\(850\) | −5.66751 | − | 2.06281i | −0.194394 | − | 0.0707537i | ||||
\(851\) | 12.5122 | + | 4.55407i | 0.428912 | + | 0.156111i | ||||
\(852\) | −24.0562 | − | 32.6129i | −0.824151 | − | 1.11730i | ||||
\(853\) | 22.9539 | + | 19.2606i | 0.785927 | + | 0.659471i | 0.944734 | − | 0.327838i | \(-0.106320\pi\) |
−0.158807 | + | 0.987310i | \(0.550765\pi\) | |||||||
\(854\) | 9.29711 | − | 4.25111i | 0.318141 | − | 0.145470i | ||||
\(855\) | 1.15614 | + | 23.4128i | 0.0395392 | + | 0.800700i | ||||
\(856\) | 27.2497 | 0.931376 | ||||||||
\(857\) | 1.12732 | − | 6.39335i | 0.0385085 | − | 0.218393i | −0.959481 | − | 0.281774i | \(-0.909077\pi\) |
0.997989 | + | 0.0633811i | \(0.0201884\pi\) | |||||||
\(858\) | 6.40681 | + | 21.7495i | 0.218725 | + | 0.742517i | ||||
\(859\) | 6.58220 | + | 2.39572i | 0.224582 | + | 0.0817410i | 0.451860 | − | 0.892089i | \(-0.350761\pi\) |
−0.227279 | + | 0.973830i | \(0.572983\pi\) | |||||||
\(860\) | 1.39065 | + | 0.506156i | 0.0474208 | + | 0.0172598i | ||||
\(861\) | −7.82492 | − | 20.3997i | −0.266673 | − | 0.695221i | ||||
\(862\) | 1.91507 | − | 10.8609i | 0.0652276 | − | 0.369924i | ||||
\(863\) | −24.8999 | − | 43.1279i | −0.847603 | − | 1.46809i | −0.883341 | − | 0.468730i | \(-0.844712\pi\) |
0.0357383 | − | 0.999361i | \(-0.488622\pi\) | |||||||
\(864\) | −29.6527 | − | 0.393081i | −1.00881 | − | 0.0133729i | ||||
\(865\) | −10.6343 | + | 18.4191i | −0.361575 | + | 0.626267i | ||||
\(866\) | 1.58342 | − | 0.576317i | 0.0538067 | − | 0.0195840i | ||||
\(867\) | −5.28365 | − | 3.50866i | −0.179442 | − | 0.119160i | ||||
\(868\) | 21.9223 | + | 31.8110i | 0.744090 | + | 1.07974i | ||||
\(869\) | 16.1331 | − | 13.5373i | 0.547277 | − | 0.459220i | ||||
\(870\) | −2.12696 | + | 2.23459i | −0.0721109 | + | 0.0757596i | ||||
\(871\) | −1.64038 | + | 9.30308i | −0.0555823 | + | 0.315223i | ||||
\(872\) | 16.2827 | + | 28.2025i | 0.551403 | + | 0.955058i | ||||
\(873\) | 5.14545 | − | 16.6500i | 0.174147 | − | 0.563519i | ||||
\(874\) | 9.73346 | + | 16.8588i | 0.329239 | + | 0.570259i | ||||
\(875\) | −30.1240 | − | 8.31322i | −1.01838 | − | 0.281038i | ||||
\(876\) | 10.8269 | + | 14.6780i | 0.365807 | + | 0.495924i | ||||
\(877\) | −5.32821 | + | 4.47090i | −0.179921 | + | 0.150972i | −0.728300 | − | 0.685258i | \(-0.759689\pi\) |
0.548379 | + | 0.836230i | \(0.315245\pi\) | |||||||
\(878\) | 17.4082 | + | 6.33605i | 0.587497 | + | 0.213831i | ||||
\(879\) | 2.96674 | + | 4.02200i | 0.100066 | + | 0.135659i | ||||
\(880\) | −1.76255 | + | 9.99594i | −0.0594157 | + | 0.336963i | ||||
\(881\) | −2.42562 | − | 4.20129i | −0.0817211 | − | 0.141545i | 0.822268 | − | 0.569100i | \(-0.192708\pi\) |
−0.903989 | + | 0.427555i | \(0.859375\pi\) | |||||||
\(882\) | −10.0825 | + | 9.06924i | −0.339494 | + | 0.305377i | ||||
\(883\) | 9.67442 | − | 16.7566i | 0.325570 | − | 0.563904i | −0.656057 | − | 0.754711i | \(-0.727777\pi\) |
0.981628 | + | 0.190807i | \(0.0611104\pi\) | |||||||
\(884\) | 23.1098 | + | 19.3914i | 0.777266 | + | 0.652204i | ||||
\(885\) | −14.7010 | + | 15.4448i | −0.494168 | + | 0.519173i | ||||
\(886\) | 0.657590 | + | 3.72938i | 0.0220922 | + | 0.125291i | ||||
\(887\) | 8.74908 | + | 49.6185i | 0.293766 | + | 1.66603i | 0.672178 | + | 0.740390i | \(0.265359\pi\) |
−0.378412 | + | 0.925637i | \(0.623530\pi\) | |||||||
\(888\) | −0.553608 | + | 8.83258i | −0.0185779 | + | 0.296402i | ||||
\(889\) | 4.53584 | + | 17.4480i | 0.152127 | + | 0.585186i | ||||
\(890\) | 7.39658 | 0.247934 | ||||||||
\(891\) | 14.4131 | − | 31.8533i | 0.482857 | − | 1.06713i | ||||
\(892\) | −16.2527 | + | 28.1506i | −0.544182 | + | 0.942551i | ||||
\(893\) | −30.4366 | − | 25.5394i | −1.01852 | − | 0.854642i | ||||
\(894\) | 17.8155 | − | 8.84891i | 0.595838 | − | 0.295952i | ||||
\(895\) | 25.6502 | + | 9.33592i | 0.857393 | + | 0.312065i | ||||
\(896\) | −29.5209 | + | 2.36083i | −0.986225 | + | 0.0788697i | ||||
\(897\) | 52.9721 | + | 12.8021i | 1.76869 | + | 0.427449i | ||||
\(898\) | −17.5806 | − | 14.7519i | −0.586672 | − | 0.492277i | ||||
\(899\) | −8.13933 | − | 14.0977i | −0.271462 | − | 0.470186i | ||||
\(900\) | 4.71141 | + | 11.1932i | 0.157047 | + | 0.373108i | ||||
\(901\) | −17.7637 | + | 30.7676i | −0.591793 | + | 1.02502i | ||||
\(902\) | −9.16251 | − | 7.68826i | −0.305078 | − | 0.255991i | ||||
\(903\) | −2.39713 | − | 1.32953i | −0.0797713 | − | 0.0442438i | ||||
\(904\) | −1.10598 | − | 6.27230i | −0.0367842 | − | 0.208614i | ||||
\(905\) | −9.14234 | + | 7.67134i | −0.303902 | + | 0.255004i | ||||
\(906\) | 1.33943 | − | 0.150561i | 0.0444995 | − | 0.00500204i | ||||
\(907\) | −21.0336 | + | 7.65560i | −0.698409 | + | 0.254200i | −0.666731 | − | 0.745298i | \(-0.732307\pi\) |
−0.0316774 | + | 0.999498i | \(0.510085\pi\) | |||||||
\(908\) | 1.56192 | − | 2.70532i | 0.0518341 | − | 0.0897793i | ||||
\(909\) | −12.8388 | + | 2.92327i | −0.425836 | + | 0.0969588i | ||||
\(910\) | −11.3543 | − | 8.07737i | −0.376392 | − | 0.267762i | ||||
\(911\) | 29.4404 | − | 10.7154i | 0.975405 | − | 0.355018i | 0.195353 | − | 0.980733i | \(-0.437415\pi\) |
0.780052 | + | 0.625715i | \(0.215193\pi\) | |||||||
\(912\) | 9.98075 | − | 10.4858i | 0.330496 | − | 0.347219i | ||||
\(913\) | 2.92180 | + | 16.5703i | 0.0966975 | + | 0.548398i | ||||
\(914\) | −15.3695 | + | 12.8965i | −0.508378 | + | 0.426580i | ||||
\(915\) | 1.01323 | − | 16.1656i | 0.0334963 | − | 0.534419i | ||||
\(916\) | −0.341498 | + | 1.93673i | −0.0112834 | + | 0.0639914i | ||||
\(917\) | −28.5961 | − | 20.3430i | −0.944325 | − | 0.671784i | ||||
\(918\) | 1.96788 | + | 12.0959i | 0.0649498 | + | 0.399223i | ||||
\(919\) | 22.1981 | + | 38.4482i | 0.732247 | + | 1.26829i | 0.955921 | + | 0.293625i | \(0.0948618\pi\) |
−0.223673 | + | 0.974664i | \(0.571805\pi\) | |||||||
\(920\) | −16.7035 | − | 14.0159i | −0.550698 | − | 0.462091i | ||||
\(921\) | 1.56711 | − | 25.0025i | 0.0516379 | − | 0.823860i | ||||
\(922\) | 0.0411129 | + | 0.233163i | 0.00135398 | + | 0.00767882i | ||||
\(923\) | −59.0833 | + | 49.5768i | −1.94475 | + | 1.63184i | ||||
\(924\) | 9.18116 | − | 26.6426i | 0.302038 | − | 0.876476i | ||||
\(925\) | 5.30663 | − | 1.93146i | 0.174481 | − | 0.0635059i | ||||
\(926\) | 18.6906 | 0.614210 | ||||||||
\(927\) | 1.31562 | + | 26.6424i | 0.0432108 | + | 0.875052i | ||||
\(928\) | 10.0717 | 0.330619 | ||||||||
\(929\) | −7.47918 | + | 42.4165i | −0.245384 | + | 1.39164i | 0.574216 | + | 0.818704i | \(0.305307\pi\) |
−0.819600 | + | 0.572937i | \(0.805804\pi\) | |||||||
\(930\) | −16.0246 | + | 1.80128i | −0.525468 | + | 0.0590661i | ||||
\(931\) | 0.522475 | − | 34.9924i | 0.0171234 | − | 1.14683i | ||||
\(932\) | −3.10886 | − | 17.6312i | −0.101834 | − | 0.577530i | ||||
\(933\) | 20.9853 | + | 28.4498i | 0.687029 | + | 0.931404i | ||||
\(934\) | −14.8749 | + | 5.41400i | −0.486720 | + | 0.177152i | ||||
\(935\) | 22.1739 | 0.725165 | ||||||||
\(936\) | 1.78646 | + | 36.1773i | 0.0583924 | + | 1.18249i | ||||
\(937\) | 8.03273 | − | 13.9131i | 0.262418 | − | 0.454521i | −0.704466 | − | 0.709738i | \(-0.748813\pi\) |
0.966884 | + | 0.255217i | \(0.0821468\pi\) | |||||||
\(938\) | −2.20337 | + | 2.17072i | −0.0719425 | + | 0.0708764i | ||||
\(939\) | 6.55981 | − | 6.89173i | 0.214071 | − | 0.224903i | ||||
\(940\) | 18.4763 | + | 6.72483i | 0.602631 | + | 0.219340i | ||||
\(941\) | −22.6766 | + | 19.0279i | −0.739235 | + | 0.620292i | −0.932632 | − | 0.360829i | \(-0.882494\pi\) |
0.193397 | + | 0.981121i | \(0.438049\pi\) | |||||||
\(942\) | 0.982337 | − | 15.6728i | 0.0320063 | − | 0.510646i | ||||
\(943\) | −27.0148 | + | 9.83257i | −0.879722 | + | 0.320192i | ||||
\(944\) | 13.1681 | 0.428586 | ||||||||
\(945\) | 5.12993 | + | 20.8652i | 0.166877 | + | 0.678745i | ||||
\(946\) | −1.50058 | −0.0487882 | ||||||||
\(947\) | −47.2531 | + | 17.1987i | −1.53552 | + | 0.558883i | −0.964965 | − | 0.262377i | \(-0.915494\pi\) |
−0.570554 | + | 0.821260i | \(0.693271\pi\) | |||||||
\(948\) | 13.3124 | − | 6.61226i | 0.432367 | − | 0.214756i | ||||
\(949\) | 26.5915 | − | 22.3129i | 0.863196 | − | 0.724308i | ||||
\(950\) | 7.75834 | + | 2.82380i | 0.251714 | + | 0.0916163i | ||||
\(951\) | −8.94301 | − | 30.3593i | −0.289997 | − | 0.984468i | ||||
\(952\) | 5.62514 | + | 21.6382i | 0.182312 | + | 0.701296i | ||||
\(953\) | −0.592625 | + | 1.02646i | −0.0191970 | + | 0.0332502i | −0.875464 | − | 0.483283i | \(-0.839444\pi\) |
0.856267 | + | 0.516533i | \(0.172778\pi\) | |||||||
\(954\) | −18.3756 | + | 4.18394i | −0.594931 | + | 0.135460i | ||||
\(955\) | 29.0860 | 0.941202 | ||||||||
\(956\) | 29.7029 | − | 10.8110i | 0.960662 | − | 0.349652i | ||||
\(957\) | −4.75122 | + | 10.8821i | −0.153585 | + | 0.351768i | ||||
\(958\) | −2.81961 | − | 15.9908i | −0.0910975 | − | 0.516640i | ||||
\(959\) | 7.09176 | − | 0.567137i | 0.229005 | − | 0.0183138i | ||||
\(960\) | 0.370439 | − | 0.848447i | 0.0119559 | − | 0.0273835i | ||||
\(961\) | 9.39250 | − | 53.2675i | 0.302984 | − | 1.71831i | ||||
\(962\) | 7.44139 | 0.239920 | ||||||||
\(963\) | −21.3480 | + | 28.1525i | −0.687929 | + | 0.907201i | ||||
\(964\) | 10.9501 | 0.352680 | ||||||||
\(965\) | 18.4966 | − | 6.73223i | 0.595428 | − | 0.216718i | ||||
\(966\) | 11.7031 | + | 13.4697i | 0.376542 | + | 0.433379i | ||||
\(967\) | 39.8193 | − | 33.4124i | 1.28050 | − | 1.07447i | 0.287329 | − | 0.957832i | \(-0.407233\pi\) |
0.993175 | − | 0.116638i | \(-0.0372117\pi\) | |||||||
\(968\) | −1.64370 | − | 9.32188i | −0.0528305 | − | 0.299617i | ||||
\(969\) | −26.3454 | − | 17.4949i | −0.846335 | − | 0.562016i | ||||
\(970\) | 4.49129 | + | 3.76864i | 0.144207 | + | 0.121004i | ||||
\(971\) | 12.6805 | + | 21.9632i | 0.406935 | + | 0.704832i | 0.994545 | − | 0.104312i | \(-0.0332641\pi\) |
−0.587609 | + | 0.809145i | \(0.699931\pi\) | |||||||
\(972\) | 15.1692 | − | 19.4630i | 0.486554 | − | 0.624275i | ||||
\(973\) | −2.84296 | + | 1.29994i | −0.0911410 | + | 0.0416743i | ||||
\(974\) | 2.90027 | − | 16.4482i | 0.0929305 | − | 0.527035i | ||||
\(975\) | 20.7003 | − | 10.2818i | 0.662941 | − | 0.329281i | ||||
\(976\) | −7.66262 | + | 6.42970i | −0.245274 | + | 0.205810i | ||||
\(977\) | 6.09877 | + | 34.5879i | 0.195117 | + | 1.10656i | 0.912252 | + | 0.409629i | \(0.134342\pi\) |
−0.717135 | + | 0.696934i | \(0.754547\pi\) | |||||||
\(978\) | 3.62122 | + | 12.2931i | 0.115794 | + | 0.393091i | ||||
\(979\) | 26.7522 | − | 9.73699i | 0.855003 | − | 0.311196i | ||||
\(980\) | 5.67964 | + | 16.3606i | 0.181429 | + | 0.522621i | ||||
\(981\) | −41.8931 | − | 5.27226i | −1.33754 | − | 0.168330i | ||||
\(982\) | −2.71348 | + | 4.69988i | −0.0865905 | + | 0.149979i | ||||
\(983\) | 16.9439 | − | 6.16707i | 0.540426 | − | 0.196699i | −0.0573617 | − | 0.998353i | \(-0.518269\pi\) |
0.597788 | + | 0.801655i | \(0.296047\pi\) | |||||||
\(984\) | −11.3424 | − | 15.3769i | −0.361584 | − | 0.490199i | ||||
\(985\) | −10.7440 | + | 9.01525i | −0.342331 | + | 0.287250i | ||||
\(986\) | −0.722735 | − | 4.09883i | −0.0230166 | − | 0.130533i | ||||
\(987\) | −31.8484 | − | 17.6642i | −1.01375 | − | 0.562257i | ||||
\(988\) | −31.6353 | − | 26.5452i | −1.00645 | − | 0.844515i | ||||
\(989\) | −1.80337 | + | 3.12353i | −0.0573438 | + | 0.0993225i | ||||
\(990\) | 7.99594 | + | 8.62666i | 0.254128 | + | 0.274173i | ||||
\(991\) | −8.35016 | − | 14.4629i | −0.265251 | − | 0.459429i | 0.702378 | − | 0.711804i | \(-0.252122\pi\) |
−0.967629 | + | 0.252375i | \(0.918788\pi\) | |||||||
\(992\) | 40.3285 | + | 33.8396i | 1.28043 | + | 1.07441i | ||||
\(993\) | 15.8731 | + | 53.8852i | 0.503717 | + | 1.70999i | ||||
\(994\) | −25.1730 | + | 2.01312i | −0.798440 | + | 0.0638523i | ||||
\(995\) | −24.6989 | − | 8.98968i | −0.783009 | − | 0.284992i | ||||
\(996\) | −0.742883 | + | 11.8524i | −0.0235391 | + | 0.375557i | ||||
\(997\) | −1.52210 | − | 1.27719i | −0.0482054 | − | 0.0404492i | 0.618367 | − | 0.785890i | \(-0.287795\pi\) |
−0.666572 | + | 0.745441i | \(0.732239\pi\) | |||||||
\(998\) | 8.24115 | − | 14.2741i | 0.260869 | − | 0.451839i | ||||
\(999\) | −8.69149 | − | 7.49157i | −0.274986 | − | 0.237023i |
(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 | 189.2.w.a.25.9 | yes | 132 | |
3.2 | odd | 2 | 567.2.w.a.235.14 | 132 | |||
7.2 | even | 3 | 189.2.u.a.79.14 | yes | 132 | ||
21.2 | odd | 6 | 567.2.u.a.478.9 | 132 | |||
27.13 | even | 9 | 189.2.u.a.67.14 | ✓ | 132 | ||
27.14 | odd | 18 | 567.2.u.a.172.9 | 132 | |||
189.121 | even | 9 | inner | 189.2.w.a.121.9 | yes | 132 | |
189.149 | odd | 18 | 567.2.w.a.415.14 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.u.a.67.14 | ✓ | 132 | 27.13 | even | 9 | ||
189.2.u.a.79.14 | yes | 132 | 7.2 | even | 3 | ||
189.2.w.a.25.9 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.w.a.121.9 | yes | 132 | 189.121 | even | 9 | inner | |
567.2.u.a.172.9 | 132 | 27.14 | odd | 18 | |||
567.2.u.a.478.9 | 132 | 21.2 | odd | 6 | |||
567.2.w.a.235.14 | 132 | 3.2 | odd | 2 | |||
567.2.w.a.415.14 | 132 | 189.149 | odd | 18 |