Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(17,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.br (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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.18 | ||
Character | \(\chi\) | \(=\) | 273.17 |
Dual form | 273.2.br.b.257.18 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.367418 | 0.259804 | 0.129902 | − | 0.991527i | \(-0.458534\pi\) | ||||
0.129902 | + | 0.991527i | \(0.458534\pi\) | |||||||
\(3\) | −1.57686 | − | 0.716595i | −0.910401 | − | 0.413726i | ||||
\(4\) | −1.86500 | −0.932502 | ||||||||
\(5\) | 0.333187 | − | 0.192366i | 0.149006 | − | 0.0860286i | −0.423643 | − | 0.905829i | \(-0.639249\pi\) |
0.572649 | + | 0.819800i | \(0.305916\pi\) | |||||||
\(6\) | −0.579367 | − | 0.263290i | −0.236526 | − | 0.107488i | ||||
\(7\) | 0.931377 | + | 2.47640i | 0.352027 | + | 0.935990i | ||||
\(8\) | −1.42007 | −0.502071 | ||||||||
\(9\) | 1.97298 | + | 2.25994i | 0.657661 | + | 0.753314i | ||||
\(10\) | 0.122419 | − | 0.0706787i | 0.0387123 | − | 0.0223506i | ||||
\(11\) | 1.86381 | + | 3.22821i | 0.561960 | + | 0.973343i | 0.997325 | + | 0.0730895i | \(0.0232859\pi\) |
−0.435365 | + | 0.900254i | \(0.643381\pi\) | |||||||
\(12\) | 2.94085 | + | 1.33645i | 0.848951 | + | 0.385801i | ||||
\(13\) | −3.56240 | + | 0.556129i | −0.988033 | + | 0.154242i | ||||
\(14\) | 0.342205 | + | 0.909872i | 0.0914580 | + | 0.243174i | ||||
\(15\) | −0.663239 | + | 0.0645739i | −0.171248 | + | 0.0166729i | ||||
\(16\) | 3.20825 | 0.802062 | ||||||||
\(17\) | 6.03970 | 1.46484 | 0.732421 | − | 0.680852i | \(-0.238390\pi\) | ||||
0.732421 | + | 0.680852i | \(0.238390\pi\) | |||||||
\(18\) | 0.724910 | + | 0.830343i | 0.170863 | + | 0.195714i | ||||
\(19\) | −2.06769 | + | 3.58135i | −0.474362 | + | 0.821618i | −0.999569 | − | 0.0293559i | \(-0.990654\pi\) |
0.525207 | + | 0.850974i | \(0.323988\pi\) | |||||||
\(20\) | −0.621396 | + | 0.358763i | −0.138948 | + | 0.0802219i | ||||
\(21\) | 0.305920 | − | 4.57235i | 0.0667573 | − | 0.997769i | ||||
\(22\) | 0.684797 | + | 1.18610i | 0.145999 | + | 0.252878i | ||||
\(23\) | 5.05239i | 1.05350i | 0.850021 | + | 0.526748i | \(0.176589\pi\) | ||||
−0.850021 | + | 0.526748i | \(0.823411\pi\) | |||||||
\(24\) | 2.23926 | + | 1.01762i | 0.457086 | + | 0.207720i | ||||
\(25\) | −2.42599 | + | 4.20194i | −0.485198 | + | 0.840388i | ||||
\(26\) | −1.30889 | + | 0.204332i | −0.256695 | + | 0.0400728i | ||||
\(27\) | −1.49166 | − | 4.97744i | −0.287070 | − | 0.957910i | ||||
\(28\) | −1.73702 | − | 4.61849i | −0.328266 | − | 0.872812i | ||||
\(29\) | −5.29576 | − | 3.05751i | −0.983398 | − | 0.567765i | −0.0801039 | − | 0.996787i | \(-0.525525\pi\) |
−0.903294 | + | 0.429021i | \(0.858859\pi\) | |||||||
\(30\) | −0.243686 | + | 0.0237256i | −0.0444907 | + | 0.00433168i | ||||
\(31\) | −0.464104 | + | 0.803852i | −0.0833556 | + | 0.144376i | −0.904689 | − | 0.426072i | \(-0.859897\pi\) |
0.821334 | + | 0.570448i | \(0.193230\pi\) | |||||||
\(32\) | 4.01891 | 0.710450 | ||||||||
\(33\) | −0.625649 | − | 6.42604i | −0.108912 | − | 1.11863i | ||||
\(34\) | 2.21909 | 0.380571 | ||||||||
\(35\) | 0.786697 | + | 0.645939i | 0.132976 | + | 0.109184i | ||||
\(36\) | −3.67962 | − | 4.21480i | −0.613270 | − | 0.702467i | ||||
\(37\) | − | 0.549540i | − | 0.0903438i | −0.998979 | − | 0.0451719i | \(-0.985616\pi\) | ||
0.998979 | − | 0.0451719i | \(-0.0143836\pi\) | |||||||
\(38\) | −0.759708 | + | 1.31585i | −0.123241 | + | 0.213459i | ||||
\(39\) | 6.01594 | + | 1.67586i | 0.963321 | + | 0.268353i | ||||
\(40\) | −0.473150 | + | 0.273173i | −0.0748116 | + | 0.0431925i | ||||
\(41\) | −9.42325 | − | 5.44051i | −1.47166 | − | 0.849666i | −0.472171 | − | 0.881507i | \(-0.656530\pi\) |
−0.999493 | + | 0.0318414i | \(0.989863\pi\) | |||||||
\(42\) | 0.112401 | − | 1.67996i | 0.0173438 | − | 0.259224i | ||||
\(43\) | 1.64275 | + | 2.84533i | 0.250517 | + | 0.433908i | 0.963668 | − | 0.267102i | \(-0.0860660\pi\) |
−0.713151 | + | 0.701010i | \(0.752733\pi\) | |||||||
\(44\) | −3.47601 | − | 6.02063i | −0.524029 | − | 0.907645i | ||||
\(45\) | 1.09211 | + | 0.373449i | 0.162802 | + | 0.0556706i | ||||
\(46\) | 1.85634i | 0.273702i | ||||||||
\(47\) | 7.98492 | − | 4.61010i | 1.16472 | − | 0.672452i | 0.212290 | − | 0.977207i | \(-0.431908\pi\) |
0.952431 | + | 0.304755i | \(0.0985746\pi\) | |||||||
\(48\) | −5.05896 | − | 2.29901i | −0.730198 | − | 0.331834i | ||||
\(49\) | −5.26507 | + | 4.61292i | −0.752153 | + | 0.658988i | ||||
\(50\) | −0.891352 | + | 1.54387i | −0.126056 | + | 0.218336i | ||||
\(51\) | −9.52377 | − | 4.32802i | −1.33359 | − | 0.606043i | ||||
\(52\) | 6.64390 | − | 1.03718i | 0.921343 | − | 0.143831i | ||||
\(53\) | 0.505521 | + | 0.291862i | 0.0694386 | + | 0.0400904i | 0.534317 | − | 0.845284i | \(-0.320569\pi\) |
−0.464879 | + | 0.885374i | \(0.653902\pi\) | |||||||
\(54\) | −0.548062 | − | 1.82880i | −0.0745818 | − | 0.248868i | ||||
\(55\) | 1.24200 | + | 0.717067i | 0.167471 | + | 0.0966893i | ||||
\(56\) | −1.32262 | − | 3.51666i | −0.176743 | − | 0.469933i | ||||
\(57\) | 5.82684 | − | 4.16560i | 0.771784 | − | 0.551747i | ||||
\(58\) | −1.94576 | − | 1.12338i | −0.255491 | − | 0.147508i | ||||
\(59\) | − | 10.0465i | − | 1.30794i | −0.756518 | − | 0.653972i | \(-0.773101\pi\) | ||
0.756518 | − | 0.653972i | \(-0.226899\pi\) | |||||||
\(60\) | 1.23694 | − | 0.120431i | 0.159689 | − | 0.0155475i | ||||
\(61\) | 9.96331 | + | 5.75232i | 1.27567 | + | 0.736509i | 0.976049 | − | 0.217549i | \(-0.0698061\pi\) |
0.299622 | + | 0.954058i | \(0.403139\pi\) | |||||||
\(62\) | −0.170520 | + | 0.295350i | −0.0216561 | + | 0.0375094i | ||||
\(63\) | −3.75892 | + | 6.99075i | −0.473579 | + | 0.880751i | ||||
\(64\) | −4.93988 | −0.617485 | ||||||||
\(65\) | −1.07997 | + | 0.870580i | −0.133954 | + | 0.107982i | ||||
\(66\) | −0.229875 | − | 2.36104i | −0.0282956 | − | 0.290624i | ||||
\(67\) | −2.65480 | + | 1.53275i | −0.324335 | + | 0.187255i | −0.653323 | − | 0.757079i | \(-0.726626\pi\) |
0.328988 | + | 0.944334i | \(0.393292\pi\) | |||||||
\(68\) | −11.2641 | −1.36597 | ||||||||
\(69\) | 3.62052 | − | 7.96692i | 0.435859 | − | 0.959104i | ||||
\(70\) | 0.289047 | + | 0.237330i | 0.0345477 | + | 0.0283663i | ||||
\(71\) | 7.15452 | + | 12.3920i | 0.849085 | + | 1.47066i | 0.882026 | + | 0.471201i | \(0.156179\pi\) |
−0.0329407 | + | 0.999457i | \(0.510487\pi\) | |||||||
\(72\) | −2.80178 | − | 3.20928i | −0.330193 | − | 0.378217i | ||||
\(73\) | 1.73065 | − | 2.99758i | 0.202557 | − | 0.350840i | −0.746794 | − | 0.665055i | \(-0.768408\pi\) |
0.949352 | + | 0.314215i | \(0.101741\pi\) | |||||||
\(74\) | − | 0.201911i | − | 0.0234717i | ||||||
\(75\) | 6.83654 | − | 4.88742i | 0.789416 | − | 0.564351i | ||||
\(76\) | 3.85626 | − | 6.67923i | 0.442343 | − | 0.766161i | ||||
\(77\) | −6.25843 | + | 7.62222i | −0.713214 | + | 0.868632i | ||||
\(78\) | 2.21036 | + | 0.615742i | 0.250274 | + | 0.0697190i | ||||
\(79\) | 6.60266 | + | 11.4361i | 0.742858 | + | 1.28667i | 0.951189 | + | 0.308609i | \(0.0998634\pi\) |
−0.208331 | + | 0.978058i | \(0.566803\pi\) | |||||||
\(80\) | 1.06895 | − | 0.617158i | 0.119512 | − | 0.0690003i | ||||
\(81\) | −1.21467 | + | 8.91766i | −0.134963 | + | 0.990851i | ||||
\(82\) | −3.46227 | − | 1.99894i | −0.382344 | − | 0.220746i | ||||
\(83\) | 6.11634i | 0.671356i | 0.941977 | + | 0.335678i | \(0.108965\pi\) | ||||
−0.941977 | + | 0.335678i | \(0.891035\pi\) | |||||||
\(84\) | −0.570542 | + | 8.52746i | −0.0622513 | + | 0.930422i | ||||
\(85\) | 2.01235 | − | 1.16183i | 0.218270 | − | 0.126018i | ||||
\(86\) | 0.603576 | + | 1.04542i | 0.0650853 | + | 0.112731i | ||||
\(87\) | 6.15969 | + | 8.61618i | 0.660388 | + | 0.923752i | ||||
\(88\) | −2.64674 | − | 4.58430i | −0.282144 | − | 0.488688i | ||||
\(89\) | − | 1.62253i | − | 0.171988i | −0.996296 | − | 0.0859940i | \(-0.972593\pi\) | ||
0.996296 | − | 0.0859940i | \(-0.0274066\pi\) | |||||||
\(90\) | 0.401260 | + | 0.137212i | 0.0422966 | + | 0.0144634i | ||||
\(91\) | −4.69514 | − | 8.30396i | −0.492184 | − | 0.870491i | ||||
\(92\) | − | 9.42273i | − | 0.982387i | ||||||
\(93\) | 1.30786 | − | 0.934988i | 0.135619 | − | 0.0969538i | ||||
\(94\) | 2.93380 | − | 1.69383i | 0.302599 | − | 0.174705i | ||||
\(95\) | 1.59102i | 0.163235i | ||||||||
\(96\) | −6.33727 | − | 2.87993i | −0.646795 | − | 0.293932i | ||||
\(97\) | −3.26443 | − | 5.65415i | −0.331452 | − | 0.574092i | 0.651344 | − | 0.758782i | \(-0.274205\pi\) |
−0.982797 | + | 0.184690i | \(0.940872\pi\) | |||||||
\(98\) | −1.93448 | + | 1.69487i | −0.195412 | + | 0.171208i | ||||
\(99\) | −3.61831 | + | 10.5813i | −0.363654 | + | 1.06346i | ||||
\(100\) | 4.52448 | − | 7.83663i | 0.452448 | − | 0.783663i | ||||
\(101\) | −5.60056 | − | 9.70045i | −0.557276 | − | 0.965231i | −0.997723 | − | 0.0674516i | \(-0.978513\pi\) |
0.440446 | − | 0.897779i | \(-0.354820\pi\) | |||||||
\(102\) | −3.49920 | − | 1.59019i | −0.346473 | − | 0.157452i | ||||
\(103\) | 0.747726 | − | 0.431700i | 0.0736757 | − | 0.0425367i | −0.462710 | − | 0.886510i | \(-0.653123\pi\) |
0.536385 | + | 0.843973i | \(0.319789\pi\) | |||||||
\(104\) | 5.05887 | − | 0.789743i | 0.496063 | − | 0.0774407i | ||||
\(105\) | −0.777636 | − | 1.58230i | −0.0758895 | − | 0.154417i | ||||
\(106\) | 0.185737 | + | 0.107235i | 0.0180404 | + | 0.0104156i | ||||
\(107\) | 0.249884i | 0.0241572i | 0.999927 | + | 0.0120786i | \(0.00384483\pi\) | ||||
−0.999927 | + | 0.0120786i | \(0.996155\pi\) | |||||||
\(108\) | 2.78195 | + | 9.28295i | 0.267693 | + | 0.893253i | ||||
\(109\) | −10.9699 | − | 6.33348i | −1.05073 | − | 0.606637i | −0.127874 | − | 0.991790i | \(-0.540815\pi\) |
−0.922853 | + | 0.385153i | \(0.874149\pi\) | |||||||
\(110\) | 0.456332 | + | 0.263463i | 0.0435095 | + | 0.0251202i | ||||
\(111\) | −0.393797 | + | 0.866548i | −0.0373776 | + | 0.0822491i | ||||
\(112\) | 2.98809 | + | 7.94489i | 0.282348 | + | 0.750722i | ||||
\(113\) | 16.5617 | − | 9.56192i | 1.55800 | − | 0.899510i | 0.560549 | − | 0.828122i | \(-0.310590\pi\) |
0.997449 | − | 0.0713885i | \(-0.0227430\pi\) | |||||||
\(114\) | 2.14089 | − | 1.53051i | 0.200512 | − | 0.143346i | ||||
\(115\) | 0.971908 | + | 1.68339i | 0.0906309 | + | 0.156977i | ||||
\(116\) | 9.87662 | + | 5.70227i | 0.917021 | + | 0.529442i | ||||
\(117\) | −8.28538 | − | 6.95359i | −0.765984 | − | 0.642860i | ||||
\(118\) | − | 3.69127i | − | 0.339809i | ||||||
\(119\) | 5.62523 | + | 14.9567i | 0.515664 | + | 1.37108i | ||||
\(120\) | 0.941847 | − | 0.0916996i | 0.0859785 | − | 0.00837099i | ||||
\(121\) | −1.44758 | + | 2.50728i | −0.131598 | + | 0.227935i | ||||
\(122\) | 3.66070 | + | 2.11351i | 0.331424 | + | 0.191348i | ||||
\(123\) | 10.9605 | + | 15.3316i | 0.988276 | + | 1.38240i | ||||
\(124\) | 0.865556 | − | 1.49919i | 0.0777292 | − | 0.134631i | ||||
\(125\) | 3.79037i | 0.339021i | ||||||||
\(126\) | −1.38109 | + | 2.56853i | −0.123038 | + | 0.228822i | ||||
\(127\) | 1.34060 | − | 2.32199i | 0.118959 | − | 0.206043i | −0.800396 | − | 0.599471i | \(-0.795378\pi\) |
0.919355 | + | 0.393428i | \(0.128711\pi\) | |||||||
\(128\) | −9.85282 | −0.870875 | ||||||||
\(129\) | −0.551443 | − | 5.66387i | −0.0485519 | − | 0.498676i | ||||
\(130\) | −0.396800 | + | 0.319867i | −0.0348016 | + | 0.0280542i | ||||
\(131\) | −0.0974986 | − | 0.168873i | −0.00851849 | − | 0.0147545i | 0.861735 | − | 0.507359i | \(-0.169378\pi\) |
−0.870253 | + | 0.492605i | \(0.836045\pi\) | |||||||
\(132\) | 1.16684 | + | 11.9846i | 0.101560 | + | 1.04313i | ||||
\(133\) | −10.7946 | − | 1.78484i | −0.936015 | − | 0.154765i | ||||
\(134\) | −0.975420 | + | 0.563159i | −0.0842635 | + | 0.0486496i | ||||
\(135\) | −1.45449 | − | 1.37148i | −0.125183 | − | 0.118038i | ||||
\(136\) | −8.57680 | −0.735455 | ||||||||
\(137\) | −2.71142 | −0.231653 | −0.115826 | − | 0.993269i | \(-0.536952\pi\) | ||||
−0.115826 | + | 0.993269i | \(0.536952\pi\) | |||||||
\(138\) | 1.33024 | − | 2.92719i | 0.113238 | − | 0.249179i | ||||
\(139\) | −2.76140 | + | 1.59429i | −0.234219 | + | 0.135226i | −0.612517 | − | 0.790458i | \(-0.709843\pi\) |
0.378298 | + | 0.925684i | \(0.376509\pi\) | |||||||
\(140\) | −1.46719 | − | 1.20468i | −0.124000 | − | 0.101814i | ||||
\(141\) | −15.8947 | + | 1.54753i | −1.33857 | + | 0.130326i | ||||
\(142\) | 2.62870 | + | 4.55304i | 0.220595 | + | 0.382083i | ||||
\(143\) | −8.43495 | − | 10.4637i | −0.705366 | − | 0.875017i | ||||
\(144\) | 6.32982 | + | 7.25045i | 0.527485 | + | 0.604204i | ||||
\(145\) | −2.35264 | −0.195376 | ||||||||
\(146\) | 0.635872 | − | 1.10136i | 0.0526252 | − | 0.0911495i | ||||
\(147\) | 11.6079 | − | 3.50100i | 0.957402 | − | 0.288758i | ||||
\(148\) | 1.02489i | 0.0842458i | ||||||||
\(149\) | 4.32572 | − | 7.49236i | 0.354376 | − | 0.613798i | −0.632635 | − | 0.774450i | \(-0.718027\pi\) |
0.987011 | + | 0.160652i | \(0.0513598\pi\) | |||||||
\(150\) | 2.51187 | − | 1.79573i | 0.205093 | − | 0.146620i | ||||
\(151\) | −7.15778 | − | 4.13254i | −0.582492 | − | 0.336302i | 0.179631 | − | 0.983734i | \(-0.442510\pi\) |
−0.762123 | + | 0.647432i | \(0.775843\pi\) | |||||||
\(152\) | 2.93627 | − | 5.08578i | 0.238163 | − | 0.412511i | ||||
\(153\) | 11.9162 | + | 13.6494i | 0.963370 | + | 1.10349i | ||||
\(154\) | −2.29946 | + | 2.80054i | −0.185296 | + | 0.225674i | ||||
\(155\) | 0.357111i | 0.0286839i | ||||||||
\(156\) | −11.2197 | − | 3.12549i | −0.898299 | − | 0.250239i | ||||
\(157\) | 16.4518 | + | 9.49843i | 1.31299 | + | 0.758057i | 0.982591 | − | 0.185783i | \(-0.0594822\pi\) |
0.330402 | + | 0.943840i | \(0.392816\pi\) | |||||||
\(158\) | 2.42594 | + | 4.20185i | 0.192997 | + | 0.334281i | ||||
\(159\) | −0.587989 | − | 0.822480i | −0.0466305 | − | 0.0652269i | ||||
\(160\) | 1.33905 | − | 0.773101i | 0.105861 | − | 0.0611190i | ||||
\(161\) | −12.5117 | + | 4.70568i | −0.986062 | + | 0.370860i | ||||
\(162\) | −0.446292 | + | 3.27651i | −0.0350640 | + | 0.257427i | ||||
\(163\) | −1.93231 | − | 1.11562i | −0.151350 | − | 0.0873820i | 0.422412 | − | 0.906404i | \(-0.361183\pi\) |
−0.573763 | + | 0.819022i | \(0.694517\pi\) | |||||||
\(164\) | 17.5744 | + | 10.1466i | 1.37233 | + | 0.792315i | ||||
\(165\) | −1.44461 | − | 2.02072i | −0.112463 | − | 0.157313i | ||||
\(166\) | 2.24725i | 0.174421i | ||||||||
\(167\) | 10.7041 | + | 6.18002i | 0.828309 | + | 0.478224i | 0.853273 | − | 0.521464i | \(-0.174614\pi\) |
−0.0249644 | + | 0.999688i | \(0.507947\pi\) | |||||||
\(168\) | −0.434429 | + | 6.49307i | −0.0335169 | + | 0.500951i | ||||
\(169\) | 12.3814 | − | 3.96231i | 0.952419 | − | 0.304793i | ||||
\(170\) | 0.739374 | − | 0.426878i | 0.0567074 | − | 0.0327400i | ||||
\(171\) | −12.1732 | + | 2.39308i | −0.930906 | + | 0.183003i | ||||
\(172\) | −3.06374 | − | 5.30655i | −0.233608 | − | 0.404621i | ||||
\(173\) | −0.885969 | + | 1.53454i | −0.0673590 | + | 0.116669i | −0.897738 | − | 0.440530i | \(-0.854791\pi\) |
0.830379 | + | 0.557199i | \(0.188124\pi\) | |||||||
\(174\) | 2.26318 | + | 3.16574i | 0.171571 | + | 0.239994i | ||||
\(175\) | −12.6652 | − | 2.09412i | −0.957397 | − | 0.158301i | ||||
\(176\) | 5.97957 | + | 10.3569i | 0.450727 | + | 0.780682i | ||||
\(177\) | −7.19928 | + | 15.8420i | −0.541131 | + | 1.19075i | ||||
\(178\) | − | 0.596147i | − | 0.0446831i | ||||||
\(179\) | 0.273444 | − | 0.157873i | 0.0204381 | − | 0.0118000i | −0.489746 | − | 0.871865i | \(-0.662911\pi\) |
0.510184 | + | 0.860065i | \(0.329577\pi\) | |||||||
\(180\) | −2.03679 | − | 0.696485i | −0.151813 | − | 0.0519129i | ||||
\(181\) | 1.52021i | 0.112996i | 0.998403 | + | 0.0564981i | \(0.0179935\pi\) | ||||
−0.998403 | + | 0.0564981i | \(0.982007\pi\) | |||||||
\(182\) | −1.72508 | − | 3.05102i | −0.127871 | − | 0.226157i | ||||
\(183\) | −11.5887 | − | 16.2103i | −0.856660 | − | 1.19830i | ||||
\(184\) | − | 7.17476i | − | 0.528930i | ||||||
\(185\) | −0.105713 | − | 0.183100i | −0.00777215 | − | 0.0134618i | ||||
\(186\) | 0.480533 | − | 0.343532i | 0.0352344 | − | 0.0251890i | ||||
\(187\) | 11.2569 | + | 19.4974i | 0.823183 | + | 1.42579i | ||||
\(188\) | −14.8919 | + | 8.59785i | −1.08610 | + | 0.627063i | ||||
\(189\) | 10.9368 | − | 8.32982i | 0.795537 | − | 0.605905i | ||||
\(190\) | 0.584568i | 0.0424090i | ||||||||
\(191\) | 5.36805 | + | 3.09925i | 0.388419 | + | 0.224254i | 0.681475 | − | 0.731842i | \(-0.261339\pi\) |
−0.293056 | + | 0.956095i | \(0.594672\pi\) | |||||||
\(192\) | 7.78950 | + | 3.53989i | 0.562159 | + | 0.255470i | ||||
\(193\) | 15.6133 | − | 9.01436i | 1.12387 | − | 0.648868i | 0.181485 | − | 0.983394i | \(-0.441909\pi\) |
0.942387 | + | 0.334526i | \(0.108576\pi\) | |||||||
\(194\) | −1.19941 | − | 2.07744i | −0.0861126 | − | 0.149151i | ||||
\(195\) | 2.32681 | − | 0.598885i | 0.166627 | − | 0.0428870i | ||||
\(196\) | 9.81938 | − | 8.60311i | 0.701385 | − | 0.614508i | ||||
\(197\) | 4.43430 | − | 7.68043i | 0.315931 | − | 0.547208i | −0.663704 | − | 0.747995i | \(-0.731017\pi\) |
0.979635 | + | 0.200787i | \(0.0643499\pi\) | |||||||
\(198\) | −1.32943 | + | 3.88777i | −0.0944786 | + | 0.276291i | ||||
\(199\) | 0.475730i | 0.0337236i | 0.999858 | + | 0.0168618i | \(0.00536754\pi\) | ||||
−0.999858 | + | 0.0168618i | \(0.994632\pi\) | |||||||
\(200\) | 3.44508 | − | 5.96706i | 0.243604 | − | 0.421935i | ||||
\(201\) | 5.28461 | − | 0.514517i | 0.372748 | − | 0.0362912i | ||||
\(202\) | −2.05774 | − | 3.56412i | −0.144782 | − | 0.250770i | ||||
\(203\) | 2.63925 | − | 15.9621i | 0.185239 | − | 1.12032i | ||||
\(204\) | 17.7619 | + | 8.07177i | 1.24358 | + | 0.565137i | ||||
\(205\) | −4.18628 | −0.292382 | ||||||||
\(206\) | 0.274728 | − | 0.158614i | 0.0191412 | − | 0.0110512i | ||||
\(207\) | −11.4181 | + | 9.96828i | −0.793613 | + | 0.692844i | ||||
\(208\) | −11.4291 | + | 1.78420i | −0.792464 | + | 0.123712i | ||||
\(209\) | −15.4152 | −1.06629 | ||||||||
\(210\) | −0.285717 | − | 0.581365i | −0.0197164 | − | 0.0401180i | ||||
\(211\) | 14.0727 | − | 24.3746i | 0.968805 | − | 1.67802i | 0.269780 | − | 0.962922i | \(-0.413049\pi\) |
0.699025 | − | 0.715097i | \(-0.253618\pi\) | |||||||
\(212\) | −0.942798 | − | 0.544325i | −0.0647516 | − | 0.0373844i | ||||
\(213\) | −2.40165 | − | 24.6673i | −0.164558 | − | 1.69018i | ||||
\(214\) | 0.0918117i | 0.00627612i | ||||||||
\(215\) | 1.09469 | + | 0.632018i | 0.0746571 | + | 0.0431033i | ||||
\(216\) | 2.11826 | + | 7.06833i | 0.144130 | + | 0.480939i | ||||
\(217\) | −2.42291 | − | 0.400616i | −0.164478 | − | 0.0271956i | ||||
\(218\) | −4.03054 | − | 2.32703i | −0.272983 | − | 0.157607i | ||||
\(219\) | −4.87705 | + | 3.48659i | −0.329560 | + | 0.235602i | ||||
\(220\) | −2.31633 | − | 1.33733i | −0.156167 | − | 0.0901630i | ||||
\(221\) | −21.5158 | + | 3.35885i | −1.44731 | + | 0.225941i | ||||
\(222\) | −0.144688 | + | 0.318385i | −0.00971084 | + | 0.0213686i | ||||
\(223\) | 0.109808 | − | 0.190193i | 0.00735328 | − | 0.0127362i | −0.862325 | − | 0.506355i | \(-0.830993\pi\) |
0.869679 | + | 0.493618i | \(0.164326\pi\) | |||||||
\(224\) | 3.74312 | + | 9.95242i | 0.250098 | + | 0.664974i | ||||
\(225\) | −14.2826 | + | 2.80776i | −0.952172 | + | 0.187184i | ||||
\(226\) | 6.08508 | − | 3.51322i | 0.404773 | − | 0.233696i | ||||
\(227\) | 18.5264i | 1.22964i | 0.788669 | + | 0.614819i | \(0.210771\pi\) | ||||
−0.788669 | + | 0.614819i | \(0.789229\pi\) | |||||||
\(228\) | −10.8671 | + | 7.76885i | −0.719691 | + | 0.514505i | ||||
\(229\) | 2.89702 | + | 5.01779i | 0.191441 | + | 0.331585i | 0.945728 | − | 0.324960i | \(-0.105351\pi\) |
−0.754287 | + | 0.656544i | \(0.772017\pi\) | |||||||
\(230\) | 0.357096 | + | 0.618509i | 0.0235462 | + | 0.0407833i | ||||
\(231\) | 15.3307 | − | 7.53442i | 1.00869 | − | 0.495729i | ||||
\(232\) | 7.52036 | + | 4.34188i | 0.493736 | + | 0.285059i | ||||
\(233\) | 7.98361 | − | 4.60934i | 0.523024 | − | 0.301968i | −0.215147 | − | 0.976582i | \(-0.569023\pi\) |
0.738171 | + | 0.674614i | \(0.235690\pi\) | |||||||
\(234\) | −3.04420 | − | 2.55487i | −0.199005 | − | 0.167017i | ||||
\(235\) | 1.77365 | − | 3.07205i | 0.115700 | − | 0.200399i | ||||
\(236\) | 18.7368i | 1.21966i | ||||||||
\(237\) | −2.21640 | − | 22.7647i | −0.143971 | − | 1.47872i | ||||
\(238\) | 2.06681 | + | 5.49535i | 0.133972 | + | 0.356211i | ||||
\(239\) | −14.4986 | −0.937836 | −0.468918 | − | 0.883242i | \(-0.655356\pi\) | ||||
−0.468918 | + | 0.883242i | \(0.655356\pi\) | |||||||
\(240\) | −2.12784 | + | 0.207169i | −0.137351 | + | 0.0133727i | ||||
\(241\) | −7.27183 | −0.468420 | −0.234210 | − | 0.972186i | \(-0.575250\pi\) | ||||
−0.234210 | + | 0.972186i | \(0.575250\pi\) | |||||||
\(242\) | −0.531867 | + | 0.921220i | −0.0341897 | + | 0.0592183i | ||||
\(243\) | 8.30571 | − | 13.1915i | 0.532812 | − | 0.846234i | ||||
\(244\) | −18.5816 | − | 10.7281i | −1.18957 | − | 0.686796i | ||||
\(245\) | −0.866889 | + | 2.54979i | −0.0553835 | + | 0.162900i | ||||
\(246\) | 4.02709 | + | 5.63310i | 0.256758 | + | 0.359153i | ||||
\(247\) | 5.37427 | − | 13.9081i | 0.341956 | − | 0.884953i | ||||
\(248\) | 0.659061 | − | 1.14153i | 0.0418504 | − | 0.0724871i | ||||
\(249\) | 4.38294 | − | 9.64462i | 0.277758 | − | 0.611203i | ||||
\(250\) | 1.39265i | 0.0880789i | ||||||||
\(251\) | −12.9946 | − | 22.5073i | −0.820210 | − | 1.42065i | −0.905526 | − | 0.424291i | \(-0.860523\pi\) |
0.0853160 | − | 0.996354i | \(-0.472810\pi\) | |||||||
\(252\) | 7.01040 | − | 13.0378i | 0.441614 | − | 0.821302i | ||||
\(253\) | −16.3102 | + | 9.41670i | −1.02541 | + | 0.592023i | ||||
\(254\) | 0.492560 | − | 0.853139i | 0.0309060 | − | 0.0535307i | ||||
\(255\) | −4.00576 | + | 0.390007i | −0.250851 | + | 0.0244232i | ||||
\(256\) | 6.25965 | 0.391228 | ||||||||
\(257\) | 7.13232 | 0.444902 | 0.222451 | − | 0.974944i | \(-0.428594\pi\) | ||||
0.222451 | + | 0.974944i | \(0.428594\pi\) | |||||||
\(258\) | −0.202610 | − | 2.08101i | −0.0126140 | − | 0.129558i | ||||
\(259\) | 1.36088 | − | 0.511829i | 0.0845609 | − | 0.0318035i | ||||
\(260\) | 2.01414 | − | 1.62364i | 0.124912 | − | 0.100694i | ||||
\(261\) | −3.53866 | − | 18.0005i | −0.219038 | − | 1.11420i | ||||
\(262\) | −0.0358227 | − | 0.0620468i | −0.00221314 | − | 0.00383326i | ||||
\(263\) | 20.8628 | − | 12.0452i | 1.28646 | − | 0.742736i | 0.308436 | − | 0.951245i | \(-0.400195\pi\) |
0.978020 | + | 0.208509i | \(0.0668612\pi\) | |||||||
\(264\) | 0.888467 | + | 9.12544i | 0.0546813 | + | 0.561632i | ||||
\(265\) | 0.224577 | 0.0137957 | ||||||||
\(266\) | −3.96615 | − | 0.655783i | −0.243180 | − | 0.0402086i | ||||
\(267\) | −1.16270 | + | 2.55851i | −0.0711560 | + | 0.156578i | ||||
\(268\) | 4.95121 | − | 2.85858i | 0.302443 | − | 0.174616i | ||||
\(269\) | −8.79587 | −0.536294 | −0.268147 | − | 0.963378i | \(-0.586411\pi\) | ||||
−0.268147 | + | 0.963378i | \(0.586411\pi\) | |||||||
\(270\) | −0.534407 | − | 0.503906i | −0.0325230 | − | 0.0306667i | ||||
\(271\) | −27.9555 | −1.69817 | −0.849087 | − | 0.528253i | \(-0.822847\pi\) | ||||
−0.849087 | + | 0.528253i | \(0.822847\pi\) | |||||||
\(272\) | 19.3768 | 1.17489 | ||||||||
\(273\) | 1.45301 | + | 16.4587i | 0.0879400 | + | 0.996126i | ||||
\(274\) | −0.996225 | −0.0601842 | ||||||||
\(275\) | −18.0863 | −1.09065 | ||||||||
\(276\) | −6.75228 | + | 14.8583i | −0.406439 | + | 0.894367i | ||||
\(277\) | 13.6995 | 0.823123 | 0.411562 | − | 0.911382i | \(-0.364983\pi\) | ||||
0.411562 | + | 0.911382i | \(0.364983\pi\) | |||||||
\(278\) | −1.01459 | + | 0.585772i | −0.0608509 | + | 0.0351323i | ||||
\(279\) | −2.73233 | + | 0.537139i | −0.163580 | + | 0.0321576i | ||||
\(280\) | −1.11717 | − | 0.917280i | −0.0667635 | − | 0.0548180i | ||||
\(281\) | −16.5890 | −0.989617 | −0.494809 | − | 0.869002i | \(-0.664762\pi\) | ||||
−0.494809 | + | 0.869002i | \(0.664762\pi\) | |||||||
\(282\) | −5.83999 | + | 0.568590i | −0.347767 | + | 0.0338591i | ||||
\(283\) | −1.48811 | + | 0.859159i | −0.0884587 | + | 0.0510717i | −0.543577 | − | 0.839359i | \(-0.682930\pi\) |
0.455118 | + | 0.890431i | \(0.349597\pi\) | |||||||
\(284\) | −13.3432 | − | 23.1111i | −0.791774 | − | 1.37139i | ||||
\(285\) | 1.14011 | − | 2.50881i | 0.0675345 | − | 0.148609i | ||||
\(286\) | −3.09915 | − | 3.84455i | −0.183257 | − | 0.227333i | ||||
\(287\) | 4.69627 | − | 28.4029i | 0.277212 | − | 1.67657i | ||||
\(288\) | 7.92925 | + | 9.08250i | 0.467235 | + | 0.535192i | ||||
\(289\) | 19.4779 | 1.14576 | ||||||||
\(290\) | −0.864403 | −0.0507595 | ||||||||
\(291\) | 1.09581 | + | 11.2551i | 0.0642376 | + | 0.659785i | ||||
\(292\) | −3.22767 | + | 5.59049i | −0.188885 | + | 0.327159i | ||||
\(293\) | 4.81683 | − | 2.78100i | 0.281402 | − | 0.162468i | −0.352656 | − | 0.935753i | \(-0.614721\pi\) |
0.634058 | + | 0.773285i | \(0.281388\pi\) | |||||||
\(294\) | 4.26494 | − | 1.28633i | 0.248737 | − | 0.0750204i | ||||
\(295\) | −1.93261 | − | 3.34737i | −0.112521 | − | 0.194892i | ||||
\(296\) | 0.780386i | 0.0453590i | ||||||||
\(297\) | 13.2881 | − | 14.0924i | 0.771053 | − | 0.817725i | ||||
\(298\) | 1.58935 | − | 2.75283i | 0.0920683 | − | 0.159467i | ||||
\(299\) | −2.80978 | − | 17.9987i | −0.162494 | − | 1.04089i | ||||
\(300\) | −12.7502 | + | 9.11506i | −0.736132 | + | 0.526258i | ||||
\(301\) | −5.51614 | + | 6.71817i | −0.317945 | + | 0.387229i | ||||
\(302\) | −2.62990 | − | 1.51837i | −0.151333 | − | 0.0873724i | ||||
\(303\) | 1.88001 | + | 19.3096i | 0.108004 | + | 1.10931i | ||||
\(304\) | −6.63368 | + | 11.4899i | −0.380467 | + | 0.658989i | ||||
\(305\) | 4.42620 | 0.253444 | ||||||||
\(306\) | 4.37823 | + | 5.01502i | 0.250287 | + | 0.286690i | ||||
\(307\) | 8.90988 | 0.508514 | 0.254257 | − | 0.967137i | \(-0.418169\pi\) | ||||
0.254257 | + | 0.967137i | \(0.418169\pi\) | |||||||
\(308\) | 11.6720 | − | 14.2155i | 0.665074 | − | 0.810001i | ||||
\(309\) | −1.48841 | + | 0.144914i | −0.0846730 | + | 0.00824388i | ||||
\(310\) | 0.131209i | 0.00745217i | ||||||||
\(311\) | −14.1396 | + | 24.4906i | −0.801785 | + | 1.38873i | 0.116655 | + | 0.993172i | \(0.462783\pi\) |
−0.918440 | + | 0.395560i | \(0.870551\pi\) | |||||||
\(312\) | −8.54306 | − | 2.37984i | −0.483656 | − | 0.134732i | ||||
\(313\) | 15.3462 | − | 8.86015i | 0.867421 | − | 0.500806i | 0.000930432 | − | 1.00000i | \(-0.499704\pi\) |
0.866490 | + | 0.499194i | \(0.166371\pi\) | |||||||
\(314\) | 6.04467 | + | 3.48989i | 0.341121 | + | 0.196946i | ||||
\(315\) | 0.0923565 | + | 3.05232i | 0.00520370 | + | 0.171979i | ||||
\(316\) | −12.3140 | − | 21.3285i | −0.692716 | − | 1.19982i | ||||
\(317\) | 2.24397 | + | 3.88668i | 0.126034 | + | 0.218298i | 0.922137 | − | 0.386864i | \(-0.126442\pi\) |
−0.796103 | + | 0.605162i | \(0.793108\pi\) | |||||||
\(318\) | −0.216038 | − | 0.302194i | −0.0121148 | − | 0.0169462i | ||||
\(319\) | − | 22.7945i | − | 1.27625i | ||||||
\(320\) | −1.64591 | + | 0.950264i | −0.0920089 | + | 0.0531214i | ||||
\(321\) | 0.179065 | − | 0.394032i | 0.00999445 | − | 0.0219927i | ||||
\(322\) | −4.59703 | + | 1.72895i | −0.256182 | + | 0.0963507i | ||||
\(323\) | −12.4882 | + | 21.6303i | −0.694865 | + | 1.20354i | ||||
\(324\) | 2.26537 | − | 16.6315i | 0.125854 | − | 0.923970i | ||||
\(325\) | 6.30554 | − | 16.3182i | 0.349768 | − | 0.905169i | ||||
\(326\) | −0.709965 | − | 0.409898i | −0.0393213 | − | 0.0227022i | ||||
\(327\) | 12.7595 | + | 17.8480i | 0.705601 | + | 0.986996i | ||||
\(328\) | 13.3817 | + | 7.72592i | 0.738880 | + | 0.426593i | ||||
\(329\) | 18.8534 | + | 15.4801i | 1.03942 | + | 0.853445i | ||||
\(330\) | −0.530776 | − | 0.742450i | −0.0292182 | − | 0.0408705i | ||||
\(331\) | 17.1056 | + | 9.87591i | 0.940207 | + | 0.542829i | 0.890025 | − | 0.455911i | \(-0.150687\pi\) |
0.0501820 | + | 0.998740i | \(0.484020\pi\) | |||||||
\(332\) | − | 11.4070i | − | 0.626041i | ||||||
\(333\) | 1.24193 | − | 1.08423i | 0.0680572 | − | 0.0594156i | ||||
\(334\) | 3.93288 | + | 2.27065i | 0.215198 | + | 0.124244i | ||||
\(335\) | −0.589697 | + | 1.02139i | −0.0322186 | + | 0.0558042i | ||||
\(336\) | 0.981468 | − | 14.6692i | 0.0535435 | − | 0.800273i | ||||
\(337\) | 12.8336 | 0.699091 | 0.349546 | − | 0.936919i | \(-0.386336\pi\) | ||||
0.349546 | + | 0.936919i | \(0.386336\pi\) | |||||||
\(338\) | 4.54916 | − | 1.45582i | 0.247442 | − | 0.0791864i | ||||
\(339\) | −32.9676 | + | 3.20977i | −1.79055 | + | 0.174331i | ||||
\(340\) | −3.75304 | + | 2.16682i | −0.203537 | + | 0.117512i | ||||
\(341\) | −3.46001 | −0.187370 | ||||||||
\(342\) | −4.47264 | + | 0.879260i | −0.241853 | + | 0.0475450i | ||||
\(343\) | −16.3272 | − | 8.74204i | −0.881585 | − | 0.472026i | ||||
\(344\) | −2.33282 | − | 4.04057i | −0.125777 | − | 0.217853i | ||||
\(345\) | −0.326253 | − | 3.35094i | −0.0175649 | − | 0.180409i | ||||
\(346\) | −0.325521 | + | 0.563819i | −0.0175001 | + | 0.0303111i | ||||
\(347\) | 5.11589i | 0.274635i | 0.990527 | + | 0.137318i | \(0.0438481\pi\) | ||||
−0.990527 | + | 0.137318i | \(0.956152\pi\) | |||||||
\(348\) | −11.4878 | − | 16.0692i | −0.615813 | − | 0.861400i | ||||
\(349\) | −9.83295 | + | 17.0312i | −0.526345 | + | 0.911657i | 0.473183 | + | 0.880964i | \(0.343105\pi\) |
−0.999529 | + | 0.0306932i | \(0.990229\pi\) | |||||||
\(350\) | −4.65341 | − | 0.769419i | −0.248735 | − | 0.0411272i | ||||
\(351\) | 8.08200 | + | 16.9021i | 0.431385 | + | 0.902168i | ||||
\(352\) | 7.49049 | + | 12.9739i | 0.399244 | + | 0.691512i | ||||
\(353\) | 1.32310 | − | 0.763891i | 0.0704214 | − | 0.0406578i | −0.464376 | − | 0.885638i | \(-0.653721\pi\) |
0.534797 | + | 0.844980i | \(0.320388\pi\) | |||||||
\(354\) | −2.64514 | + | 5.82062i | −0.140588 | + | 0.309362i | ||||
\(355\) | 4.76759 | + | 2.75257i | 0.253038 | + | 0.146091i | ||||
\(356\) | 3.02603i | 0.160379i | ||||||||
\(357\) | 1.84767 | − | 27.6156i | 0.0977888 | − | 1.46157i | ||||
\(358\) | 0.100468 | − | 0.0580053i | 0.00530991 | − | 0.00306568i | ||||
\(359\) | 13.2817 | + | 23.0046i | 0.700983 | + | 1.21414i | 0.968122 | + | 0.250479i | \(0.0805883\pi\) |
−0.267139 | + | 0.963658i | \(0.586078\pi\) | |||||||
\(360\) | −1.55087 | − | 0.530325i | −0.0817382 | − | 0.0279506i | ||||
\(361\) | 0.949282 | + | 1.64421i | 0.0499622 | + | 0.0865371i | ||||
\(362\) | 0.558552i | 0.0293568i | ||||||||
\(363\) | 4.07934 | − | 2.91631i | 0.214110 | − | 0.153066i | ||||
\(364\) | 8.75645 | + | 15.4869i | 0.458963 | + | 0.811735i | ||||
\(365\) | − | 1.33167i | − | 0.0697030i | ||||||
\(366\) | −4.25789 | − | 5.95594i | −0.222563 | − | 0.311322i | ||||
\(367\) | −10.6857 | + | 6.16940i | −0.557790 | + | 0.322040i | −0.752258 | − | 0.658869i | \(-0.771035\pi\) |
0.194468 | + | 0.980909i | \(0.437702\pi\) | |||||||
\(368\) | 16.2093i | 0.844969i | ||||||||
\(369\) | −6.29667 | − | 32.0300i | −0.327792 | − | 1.66742i | ||||
\(370\) | −0.0388408 | − | 0.0672742i | −0.00201923 | − | 0.00349742i | ||||
\(371\) | −0.251937 | + | 1.52370i | −0.0130799 | + | 0.0791067i | ||||
\(372\) | −2.43917 | + | 1.74376i | −0.126465 | + | 0.0904096i | ||||
\(373\) | −10.3764 | + | 17.9724i | −0.537269 | + | 0.930578i | 0.461780 | + | 0.886994i | \(0.347211\pi\) |
−0.999050 | + | 0.0435836i | \(0.986123\pi\) | |||||||
\(374\) | 4.13597 | + | 7.16371i | 0.213866 | + | 0.370427i | ||||
\(375\) | 2.71616 | − | 5.97689i | 0.140262 | − | 0.308645i | ||||
\(376\) | −11.3392 | + | 6.54667i | −0.584773 | + | 0.337619i | ||||
\(377\) | 20.5660 | + | 7.94696i | 1.05920 | + | 0.409289i | ||||
\(378\) | 4.01839 | − | 3.06052i | 0.206683 | − | 0.157416i | ||||
\(379\) | −15.9542 | − | 9.21115i | −0.819511 | − | 0.473145i | 0.0307370 | − | 0.999528i | \(-0.490215\pi\) |
−0.850248 | + | 0.526383i | \(0.823548\pi\) | |||||||
\(380\) | − | 2.96725i | − | 0.152217i | ||||||
\(381\) | −3.77786 | + | 2.70078i | −0.193546 | + | 0.138365i | ||||
\(382\) | 1.97232 | + | 1.13872i | 0.100913 | + | 0.0582619i | ||||
\(383\) | 9.45056 | + | 5.45628i | 0.482901 | + | 0.278803i | 0.721625 | − | 0.692284i | \(-0.243396\pi\) |
−0.238724 | + | 0.971088i | \(0.576729\pi\) | |||||||
\(384\) | 15.5365 | + | 7.06048i | 0.792845 | + | 0.360304i | ||||
\(385\) | −0.618975 | + | 3.74354i | −0.0315459 | + | 0.190788i | ||||
\(386\) | 5.73662 | − | 3.31204i | 0.291986 | − | 0.168578i | ||||
\(387\) | −3.18915 | + | 9.32631i | −0.162114 | + | 0.474083i | ||||
\(388\) | 6.08817 | + | 10.5450i | 0.309080 | + | 0.535342i | ||||
\(389\) | −16.9443 | − | 9.78278i | −0.859108 | − | 0.496006i | 0.00460529 | − | 0.999989i | \(-0.498534\pi\) |
−0.863714 | + | 0.503983i | \(0.831867\pi\) | |||||||
\(390\) | 0.854913 | − | 0.220041i | 0.0432902 | − | 0.0111422i | ||||
\(391\) | 30.5149i | 1.54321i | ||||||||
\(392\) | 7.47678 | − | 6.55067i | 0.377635 | − | 0.330859i | ||||
\(393\) | 0.0327286 | + | 0.336156i | 0.00165094 | + | 0.0169568i | ||||
\(394\) | 1.62924 | − | 2.82193i | 0.0820800 | − | 0.142167i | ||||
\(395\) | 4.39985 | + | 2.54025i | 0.221380 | + | 0.127814i | ||||
\(396\) | 6.74816 | − | 19.7342i | 0.339108 | − | 0.991681i | ||||
\(397\) | −12.6726 | + | 21.9496i | −0.636019 | + | 1.10162i | 0.350279 | + | 0.936645i | \(0.386087\pi\) |
−0.986298 | + | 0.164972i | \(0.947247\pi\) | |||||||
\(398\) | 0.174792i | 0.00876152i | ||||||||
\(399\) | 15.7427 | + | 10.5498i | 0.788118 | + | 0.528152i | ||||
\(400\) | −7.78318 | + | 13.4809i | −0.389159 | + | 0.674043i | ||||
\(401\) | 15.0990 | 0.754008 | 0.377004 | − | 0.926212i | \(-0.376954\pi\) | ||||
0.377004 | + | 0.926212i | \(0.376954\pi\) | |||||||
\(402\) | 1.94166 | − | 0.189043i | 0.0968412 | − | 0.00942860i | ||||
\(403\) | 1.20628 | − | 3.12175i | 0.0600891 | − | 0.155505i | ||||
\(404\) | 10.4451 | + | 18.0914i | 0.519661 | + | 0.900079i | ||||
\(405\) | 1.31074 | + | 3.20491i | 0.0651312 | + | 0.159253i | ||||
\(406\) | 0.969709 | − | 5.86476i | 0.0481259 | − | 0.291063i | ||||
\(407\) | 1.77403 | − | 1.02424i | 0.0879355 | − | 0.0507696i | ||||
\(408\) | 13.5244 | + | 6.14609i | 0.669559 | + | 0.304277i | ||||
\(409\) | −1.81845 | −0.0899164 | −0.0449582 | − | 0.998989i | \(-0.514315\pi\) | ||||
−0.0449582 | + | 0.998989i | \(0.514315\pi\) | |||||||
\(410\) | −1.53811 | −0.0759620 | ||||||||
\(411\) | 4.27554 | + | 1.94299i | 0.210897 | + | 0.0958407i | ||||
\(412\) | −1.39451 | + | 0.805122i | −0.0687027 | + | 0.0396655i | ||||
\(413\) | 24.8791 | − | 9.35709i | 1.22422 | − | 0.460432i | ||||
\(414\) | −4.19522 | + | 3.66253i | −0.206184 | + | 0.180003i | ||||
\(415\) | 1.17658 | + | 2.03789i | 0.0577558 | + | 0.100036i | ||||
\(416\) | −14.3170 | + | 2.23503i | −0.701948 | + | 0.109582i | ||||
\(417\) | 5.49681 | − | 0.535177i | 0.269180 | − | 0.0262077i | ||||
\(418\) | −5.66381 | −0.277026 | ||||||||
\(419\) | 6.74811 | − | 11.6881i | 0.329667 | − | 0.570999i | −0.652779 | − | 0.757548i | \(-0.726397\pi\) |
0.982446 | + | 0.186549i | \(0.0597303\pi\) | |||||||
\(420\) | 1.45029 | + | 2.95100i | 0.0707671 | + | 0.143994i | ||||
\(421\) | 38.2408i | 1.86374i | 0.362791 | + | 0.931870i | \(0.381824\pi\) | ||||
−0.362791 | + | 0.931870i | \(0.618176\pi\) | |||||||
\(422\) | 5.17056 | − | 8.95568i | 0.251699 | − | 0.435956i | ||||
\(423\) | 26.1727 | + | 8.94981i | 1.27256 | + | 0.435155i | ||||
\(424\) | −0.717875 | − | 0.414466i | −0.0348631 | − | 0.0201282i | ||||
\(425\) | −14.6522 | + | 25.3784i | −0.710739 | + | 1.23104i | ||||
\(426\) | −0.882409 | − | 9.06322i | −0.0427528 | − | 0.439115i | ||||
\(427\) | −4.96543 | + | 30.0307i | −0.240294 | + | 1.45329i | ||||
\(428\) | − | 0.466034i | − | 0.0225266i | ||||||
\(429\) | 5.80253 | + | 22.5442i | 0.280149 | + | 1.08845i | ||||
\(430\) | 0.402208 | + | 0.232215i | 0.0193962 | + | 0.0111984i | ||||
\(431\) | −3.62272 | − | 6.27473i | −0.174500 | − | 0.302243i | 0.765488 | − | 0.643450i | \(-0.222498\pi\) |
−0.939988 | + | 0.341207i | \(0.889164\pi\) | |||||||
\(432\) | −4.78561 | − | 15.9689i | −0.230248 | − | 0.768303i | ||||
\(433\) | 0.123763 | − | 0.0714545i | 0.00594766 | − | 0.00343388i | −0.497023 | − | 0.867737i | \(-0.665574\pi\) |
0.502971 | + | 0.864303i | \(0.332240\pi\) | |||||||
\(434\) | −0.890221 | − | 0.147194i | −0.0427320 | − | 0.00706552i | ||||
\(435\) | 3.70979 | + | 1.68589i | 0.177871 | + | 0.0808323i | ||||
\(436\) | 20.4589 | + | 11.8120i | 0.979804 | + | 0.565690i | ||||
\(437\) | −18.0944 | − | 10.4468i | −0.865572 | − | 0.499738i | ||||
\(438\) | −1.79191 | + | 1.28103i | −0.0856210 | + | 0.0612102i | ||||
\(439\) | 14.4937i | 0.691748i | 0.938281 | + | 0.345874i | \(0.112417\pi\) | ||||
−0.938281 | + | 0.345874i | \(0.887583\pi\) | |||||||
\(440\) | −1.76372 | − | 1.01829i | −0.0840823 | − | 0.0485449i | ||||
\(441\) | −20.8128 | − | 2.79755i | −0.991087 | − | 0.133217i | ||||
\(442\) | −7.90531 | + | 1.23410i | −0.376017 | + | 0.0587003i | ||||
\(443\) | 12.1803 | − | 7.03229i | 0.578703 | − | 0.334114i | −0.181915 | − | 0.983314i | \(-0.558229\pi\) |
0.760618 | + | 0.649200i | \(0.224896\pi\) | |||||||
\(444\) | 0.734434 | − | 1.61612i | 0.0348547 | − | 0.0766975i | ||||
\(445\) | −0.312120 | − | 0.540608i | −0.0147959 | − | 0.0256273i | ||||
\(446\) | 0.0403454 | − | 0.0698802i | 0.00191041 | − | 0.00330892i | ||||
\(447\) | −12.1900 | + | 8.71463i | −0.576569 | + | 0.412188i | ||||
\(448\) | −4.60089 | − | 12.2331i | −0.217371 | − | 0.577959i | ||||
\(449\) | 9.69147 | + | 16.7861i | 0.457369 | + | 0.792186i | 0.998821 | − | 0.0485455i | \(-0.0154586\pi\) |
−0.541452 | + | 0.840732i | \(0.682125\pi\) | |||||||
\(450\) | −5.24767 | + | 1.03162i | −0.247378 | + | 0.0486311i | ||||
\(451\) | − | 40.5604i | − | 1.90991i | ||||||
\(452\) | −30.8877 | + | 17.8330i | −1.45284 | + | 0.838795i | ||||
\(453\) | 8.32546 | + | 11.6457i | 0.391164 | + | 0.547162i | ||||
\(454\) | 6.80691i | 0.319464i | ||||||||
\(455\) | −3.16176 | − | 1.86359i | −0.148226 | − | 0.0873665i | ||||
\(456\) | −8.27454 | + | 5.91544i | −0.387491 | + | 0.277016i | ||||
\(457\) | − | 7.61914i | − | 0.356408i | −0.983994 | − | 0.178204i | \(-0.942971\pi\) | ||
0.983994 | − | 0.178204i | \(-0.0570288\pi\) | |||||||
\(458\) | 1.06442 | + | 1.84363i | 0.0497370 | + | 0.0861469i | ||||
\(459\) | −9.00917 | − | 30.0623i | −0.420512 | − | 1.40319i | ||||
\(460\) | −1.81261 | − | 3.13954i | −0.0845135 | − | 0.146382i | ||||
\(461\) | 31.8975 | − | 18.4160i | 1.48561 | − | 0.857720i | 0.485749 | − | 0.874098i | \(-0.338547\pi\) |
0.999866 | + | 0.0163785i | \(0.00521367\pi\) | |||||||
\(462\) | 5.63278 | − | 2.76828i | 0.262061 | − | 0.128792i | ||||
\(463\) | − | 18.8361i | − | 0.875386i | −0.899124 | − | 0.437693i | \(-0.855796\pi\) | ||
0.899124 | − | 0.437693i | \(-0.144204\pi\) | |||||||
\(464\) | −16.9901 | − | 9.80925i | −0.788746 | − | 0.455383i | ||||
\(465\) | 0.255904 | − | 0.563115i | 0.0118673 | − | 0.0261138i | ||||
\(466\) | 2.93332 | − | 1.69355i | 0.135884 | − | 0.0784524i | ||||
\(467\) | −3.69807 | − | 6.40524i | −0.171126 | − | 0.296399i | 0.767688 | − | 0.640824i | \(-0.221407\pi\) |
−0.938814 | + | 0.344425i | \(0.888074\pi\) | |||||||
\(468\) | 15.4523 | + | 12.9685i | 0.714282 | + | 0.599468i | ||||
\(469\) | −6.26831 | − | 5.14677i | −0.289444 | − | 0.237656i | ||||
\(470\) | 0.651671 | − | 1.12873i | 0.0300593 | − | 0.0520643i | ||||
\(471\) | −19.1356 | − | 26.7669i | −0.881723 | − | 1.23336i | ||||
\(472\) | 14.2668i | 0.656681i | ||||||||
\(473\) | −6.12355 | + | 10.6063i | −0.281561 | + | 0.487678i | ||||
\(474\) | −0.814345 | − | 8.36414i | −0.0374041 | − | 0.384178i | ||||
\(475\) | −10.0324 | − | 17.3766i | −0.460319 | − | 0.797295i | ||||
\(476\) | −10.4911 | − | 27.8943i | −0.480858 | − | 1.27853i | ||||
\(477\) | 0.337792 | + | 1.71829i | 0.0154664 | + | 0.0786749i | ||||
\(478\) | −5.32704 | −0.243653 | ||||||||
\(479\) | 22.4622 | − | 12.9686i | 1.02632 | − | 0.592549i | 0.110395 | − | 0.993888i | \(-0.464788\pi\) |
0.915930 | + | 0.401339i | \(0.131455\pi\) | |||||||
\(480\) | −2.66550 | + | 0.259517i | −0.121663 | + | 0.0118453i | ||||
\(481\) | 0.305615 | + | 1.95768i | 0.0139349 | + | 0.0892627i | ||||
\(482\) | −2.67180 | −0.121697 | ||||||||
\(483\) | 23.1013 | + | 1.54563i | 1.05115 | + | 0.0703285i | ||||
\(484\) | 2.69974 | − | 4.67609i | 0.122716 | − | 0.212550i | ||||
\(485\) | −2.17533 | − | 1.25593i | −0.0987768 | − | 0.0570288i | ||||
\(486\) | 3.05167 | − | 4.84679i | 0.138426 | − | 0.219855i | ||||
\(487\) | 23.5407i | 1.06673i | 0.845885 | + | 0.533366i | \(0.179073\pi\) | ||||
−0.845885 | + | 0.533366i | \(0.820927\pi\) | |||||||
\(488\) | −14.1486 | − | 8.16871i | −0.640478 | − | 0.369780i | ||||
\(489\) | 2.24754 | + | 3.14386i | 0.101637 | + | 0.142170i | ||||
\(490\) | −0.318511 | + | 0.936837i | −0.0143888 | + | 0.0423220i | ||||
\(491\) | −7.57188 | − | 4.37163i | −0.341714 | − | 0.197289i | 0.319316 | − | 0.947648i | \(-0.396547\pi\) |
−0.661030 | + | 0.750360i | \(0.729880\pi\) | |||||||
\(492\) | −20.4414 | − | 28.5935i | −0.921569 | − | 1.28909i | ||||
\(493\) | −31.9848 | − | 18.4664i | −1.44052 | − | 0.831686i | ||||
\(494\) | 1.97460 | − | 5.11009i | 0.0888415 | − | 0.229914i | ||||
\(495\) | 0.829910 | + | 4.22160i | 0.0373017 | + | 0.189747i | ||||
\(496\) | −1.48896 | + | 2.57896i | −0.0668563 | + | 0.115799i | ||||
\(497\) | −24.0239 | + | 29.2590i | −1.07762 | + | 1.31245i | ||||
\(498\) | 1.61037 | − | 3.54361i | 0.0721624 | − | 0.158793i | ||||
\(499\) | −21.1408 | + | 12.2056i | −0.946392 | + | 0.546400i | −0.891958 | − | 0.452118i | \(-0.850669\pi\) |
−0.0544339 | + | 0.998517i | \(0.517335\pi\) | |||||||
\(500\) | − | 7.06906i | − | 0.316138i | ||||||
\(501\) | −12.4503 | − | 17.4155i | −0.556240 | − | 0.778069i | ||||
\(502\) | −4.77444 | − | 8.26957i | −0.213094 | − | 0.369089i | ||||
\(503\) | 8.68869 | + | 15.0493i | 0.387410 | + | 0.671013i | 0.992100 | − | 0.125447i | \(-0.0400365\pi\) |
−0.604691 | + | 0.796461i | \(0.706703\pi\) | |||||||
\(504\) | 5.33793 | − | 9.92736i | 0.237770 | − | 0.442200i | ||||
\(505\) | −3.73207 | − | 2.15471i | −0.166075 | − | 0.0958834i | ||||
\(506\) | −5.99266 | + | 3.45986i | −0.266406 | + | 0.153810i | ||||
\(507\) | −22.3632 | − | 2.62446i | −0.993184 | − | 0.116556i | ||||
\(508\) | −2.50022 | + | 4.33051i | −0.110929 | + | 0.192135i | ||||
\(509\) | − | 22.0160i | − | 0.975840i | −0.872888 | − | 0.487920i | \(-0.837756\pi\) | ||
0.872888 | − | 0.487920i | \(-0.162244\pi\) | |||||||
\(510\) | −1.47179 | + | 0.143296i | −0.0651719 | + | 0.00634523i | ||||
\(511\) | 9.03508 | + | 1.49391i | 0.399688 | + | 0.0660865i | ||||
\(512\) | 22.0056 | 0.972517 | ||||||||
\(513\) | 20.9103 | + | 4.94968i | 0.923211 | + | 0.218534i | ||||
\(514\) | 2.62054 | 0.115587 | ||||||||
\(515\) | 0.166089 | − | 0.287674i | 0.00731874 | − | 0.0126764i | ||||
\(516\) | 1.02844 | + | 10.5631i | 0.0452747 | + | 0.465017i | ||||
\(517\) | 29.7648 | + | 17.1847i | 1.30905 | + | 0.755782i | ||||
\(518\) | 0.500011 | − | 0.188055i | 0.0219692 | − | 0.00826267i | ||||
\(519\) | 2.49670 | − | 1.78488i | 0.109593 | − | 0.0783476i | ||||
\(520\) | 1.53363 | − | 1.23629i | 0.0672542 | − | 0.0542147i | ||||
\(521\) | −19.7576 | + | 34.2212i | −0.865597 | + | 1.49926i | 0.000856516 | 1.00000i | \(0.499727\pi\) | |
−0.866453 | + | 0.499258i | \(0.833606\pi\) | |||||||
\(522\) | −1.30017 | − | 6.61372i | −0.0569068 | − | 0.289474i | ||||
\(523\) | 13.4563i | 0.588404i | 0.955743 | + | 0.294202i | \(0.0950539\pi\) | ||||
−0.955743 | + | 0.294202i | \(0.904946\pi\) | |||||||
\(524\) | 0.181835 | + | 0.314948i | 0.00794351 | + | 0.0137586i | ||||
\(525\) | 18.4706 | + | 12.3779i | 0.806123 | + | 0.540218i | ||||
\(526\) | 7.66537 | − | 4.42560i | 0.334226 | − | 0.192966i | ||||
\(527\) | −2.80305 | + | 4.85502i | −0.122103 | + | 0.211488i | ||||
\(528\) | −2.00724 | − | 20.6163i | −0.0873538 | − | 0.897211i | ||||
\(529\) | −2.52665 | −0.109854 | ||||||||
\(530\) | 0.0825138 | 0.00358417 | ||||||||
\(531\) | 22.7045 | − | 19.8216i | 0.985293 | − | 0.860184i | ||||
\(532\) | 20.1321 | + | 3.32874i | 0.872835 | + | 0.144319i | ||||
\(533\) | 36.5950 | + | 14.1408i | 1.58511 | + | 0.612505i | ||||
\(534\) | −0.427196 | + | 0.940042i | −0.0184866 | + | 0.0406796i | ||||
\(535\) | 0.0480691 | + | 0.0832581i | 0.00207821 | + | 0.00359956i | ||||
\(536\) | 3.77000 | − | 2.17661i | 0.162839 | − | 0.0940154i | ||||
\(537\) | −0.544314 | + | 0.0529952i | −0.0234889 | + | 0.00228691i | ||||
\(538\) | −3.23176 | −0.139331 | ||||||||
\(539\) | −24.7046 | − | 8.39919i | −1.06410 | − | 0.361779i | ||||
\(540\) | 2.71264 | + | 2.55781i | 0.116733 | + | 0.110071i | ||||
\(541\) | 16.6403 | − | 9.60729i | 0.715423 | − | 0.413050i | −0.0976428 | − | 0.995222i | \(-0.531130\pi\) |
0.813066 | + | 0.582172i | \(0.197797\pi\) | |||||||
\(542\) | −10.2713 | −0.441192 | ||||||||
\(543\) | 1.08937 | − | 2.39716i | 0.0467495 | − | 0.102872i | ||||
\(544\) | 24.2730 | 1.04070 | ||||||||
\(545\) | −4.87338 | −0.208753 | ||||||||
\(546\) | 0.533861 | + | 6.04722i | 0.0228471 | + | 0.258797i | ||||
\(547\) | 41.9269 | 1.79267 | 0.896333 | − | 0.443382i | \(-0.146222\pi\) | ||||
0.896333 | + | 0.443382i | \(0.146222\pi\) | |||||||
\(548\) | 5.05682 | 0.216016 | ||||||||
\(549\) | 6.65755 | + | 33.8657i | 0.284137 | + | 1.44535i | ||||
\(550\) | −6.64525 | −0.283354 | ||||||||
\(551\) | 21.9000 | − | 12.6440i | 0.932973 | − | 0.538652i | ||||
\(552\) | −5.14139 | + | 11.3136i | −0.218832 | + | 0.481539i | ||||
\(553\) | −22.1709 | + | 27.0022i | −0.942801 | + | 1.14825i | ||||
\(554\) | 5.03344 | 0.213851 | ||||||||
\(555\) | 0.0354859 | + | 0.364476i | 0.00150629 | + | 0.0154712i | ||||
\(556\) | 5.15002 | − | 2.97337i | 0.218409 | − | 0.126099i | ||||
\(557\) | −16.0714 | − | 27.8365i | −0.680967 | − | 1.17947i | −0.974686 | − | 0.223577i | \(-0.928226\pi\) |
0.293719 | − | 0.955892i | \(-0.405107\pi\) | |||||||
\(558\) | −1.00391 | + | 0.197354i | −0.0424987 | + | 0.00835468i | ||||
\(559\) | −7.43451 | − | 9.22263i | −0.314446 | − | 0.390076i | ||||
\(560\) | 2.52392 | + | 2.07233i | 0.106655 | + | 0.0875720i | ||||
\(561\) | −3.77873 | − | 38.8114i | −0.159538 | − | 1.63862i | ||||
\(562\) | −6.09510 | −0.257106 | ||||||||
\(563\) | 8.82348 | 0.371865 | 0.185933 | − | 0.982562i | \(-0.440469\pi\) | ||||
0.185933 | + | 0.982562i | \(0.440469\pi\) | |||||||
\(564\) | 29.6437 | − | 2.88615i | 1.24822 | − | 0.121529i | ||||
\(565\) | 3.67878 | − | 6.37183i | 0.154767 | − | 0.268065i | ||||
\(566\) | −0.546757 | + | 0.315670i | −0.0229819 | + | 0.0132686i | ||||
\(567\) | −23.2150 | + | 5.29769i | −0.974937 | + | 0.222482i | ||||
\(568\) | −10.1599 | − | 17.5975i | −0.426301 | − | 0.738375i | ||||
\(569\) | − | 0.820540i | − | 0.0343988i | −0.999852 | − | 0.0171994i | \(-0.994525\pi\) | ||
0.999852 | − | 0.0171994i | \(-0.00547502\pi\) | |||||||
\(570\) | 0.418898 | − | 0.921782i | 0.0175457 | − | 0.0386092i | ||||
\(571\) | 21.5308 | − | 37.2924i | 0.901034 | − | 1.56064i | 0.0748809 | − | 0.997192i | \(-0.476142\pi\) |
0.826154 | − | 0.563445i | \(-0.190524\pi\) | |||||||
\(572\) | 15.7312 | + | 19.5148i | 0.657755 | + | 0.815955i | ||||
\(573\) | −6.24377 | − | 8.73380i | −0.260837 | − | 0.364860i | ||||
\(574\) | 1.72549 | − | 10.4357i | 0.0720208 | − | 0.435579i | ||||
\(575\) | −21.2298 | − | 12.2571i | −0.885345 | − | 0.511154i | ||||
\(576\) | −9.74630 | − | 11.1638i | −0.406096 | − | 0.465160i | ||||
\(577\) | −6.43793 | + | 11.1508i | −0.268015 | + | 0.464215i | −0.968349 | − | 0.249600i | \(-0.919701\pi\) |
0.700334 | + | 0.713815i | \(0.253034\pi\) | |||||||
\(578\) | 7.15655 | 0.297673 | ||||||||
\(579\) | −31.0797 | + | 3.02596i | −1.29163 | + | 0.125755i | ||||
\(580\) | 4.38769 | 0.182189 | ||||||||
\(581\) | −15.1465 | + | 5.69662i | −0.628382 | + | 0.236336i | ||||
\(582\) | 0.402621 | + | 4.13532i | 0.0166892 | + | 0.171415i | ||||
\(583\) | 2.17590i | 0.0901168i | ||||||||
\(584\) | −2.45765 | + | 4.25677i | −0.101698 | + | 0.176147i | ||||
\(585\) | −4.09822 | − | 0.723024i | −0.169441 | − | 0.0298934i | ||||
\(586\) | 1.76979 | − | 1.02179i | 0.0731094 | − | 0.0422097i | ||||
\(587\) | −16.6763 | − | 9.62804i | −0.688303 | − | 0.397392i | 0.114673 | − | 0.993403i | \(-0.463418\pi\) |
−0.802976 | + | 0.596011i | \(0.796751\pi\) | |||||||
\(588\) | −21.6488 | + | 6.52939i | −0.892779 | + | 0.269267i | ||||
\(589\) | −1.91925 | − | 3.32424i | −0.0790813 | − | 0.136973i | ||||
\(590\) | −0.710074 | − | 1.22988i | −0.0292333 | − | 0.0506336i | ||||
\(591\) | −12.4960 | + | 8.93338i | −0.514018 | + | 0.367470i | ||||
\(592\) | − | 1.76306i | − | 0.0724613i | ||||||
\(593\) | 9.78572 | − | 5.64979i | 0.401851 | − | 0.232009i | −0.285431 | − | 0.958399i | \(-0.592137\pi\) |
0.687282 | + | 0.726390i | \(0.258803\pi\) | |||||||
\(594\) | 4.88228 | − | 5.17780i | 0.200322 | − | 0.212448i | ||||
\(595\) | 4.75141 | + | 3.90128i | 0.194789 | + | 0.159937i | ||||
\(596\) | −8.06748 | + | 13.9733i | −0.330457 | + | 0.572368i | ||||
\(597\) | 0.340906 | − | 0.750161i | 0.0139524 | − | 0.0307020i | ||||
\(598\) | −1.03236 | − | 6.61303i | −0.0422165 | − | 0.270427i | ||||
\(599\) | 23.9762 | + | 13.8426i | 0.979640 | + | 0.565595i | 0.902161 | − | 0.431399i | \(-0.141980\pi\) |
0.0774783 | + | 0.996994i | \(0.475313\pi\) | |||||||
\(600\) | −9.70838 | + | 6.94049i | −0.396343 | + | 0.283344i | ||||
\(601\) | 11.1253 | + | 6.42322i | 0.453812 | + | 0.262009i | 0.709439 | − | 0.704767i | \(-0.248948\pi\) |
−0.255627 | + | 0.966776i | \(0.582282\pi\) | |||||||
\(602\) | −2.02673 | + | 2.46838i | −0.0826033 | + | 0.100604i | ||||
\(603\) | −8.70180 | − | 2.97560i | −0.354365 | − | 0.121176i | ||||
\(604\) | 13.3493 | + | 7.70721i | 0.543175 | + | 0.313602i | ||||
\(605\) | 1.11386i | 0.0452848i | ||||||||
\(606\) | 0.690749 | + | 7.09469i | 0.0280598 | + | 0.288202i | ||||
\(607\) | −26.5701 | − | 15.3403i | −1.07845 | − | 0.622643i | −0.147971 | − | 0.988992i | \(-0.547274\pi\) |
−0.930477 | + | 0.366349i | \(0.880608\pi\) | |||||||
\(608\) | −8.30988 | + | 14.3931i | −0.337010 | + | 0.583719i | ||||
\(609\) | −15.6001 | + | 23.2787i | −0.632148 | + | 0.943302i | ||||
\(610\) | 1.62627 | 0.0658456 | ||||||||
\(611\) | −25.8817 | + | 20.8637i | −1.04706 | + | 0.844054i | ||||
\(612\) | −22.2238 | − | 25.4561i | −0.898344 | − | 1.02900i | ||||
\(613\) | 14.1940 | − | 8.19491i | 0.573290 | − | 0.330989i | −0.185172 | − | 0.982706i | \(-0.559284\pi\) |
0.758462 | + | 0.651717i | \(0.225951\pi\) | |||||||
\(614\) | 3.27365 | 0.132114 | ||||||||
\(615\) | 6.60118 | + | 2.99986i | 0.266185 | + | 0.120966i | ||||
\(616\) | 8.88742 | − | 10.8241i | 0.358084 | − | 0.436115i | ||||
\(617\) | −7.92682 | − | 13.7297i | −0.319122 | − | 0.552735i | 0.661183 | − | 0.750224i | \(-0.270055\pi\) |
−0.980305 | + | 0.197489i | \(0.936721\pi\) | |||||||
\(618\) | −0.546870 | + | 0.0532441i | −0.0219984 | + | 0.00214179i | ||||
\(619\) | 10.0667 | − | 17.4360i | 0.404613 | − | 0.700811i | −0.589663 | − | 0.807649i | \(-0.700739\pi\) |
0.994276 | + | 0.106839i | \(0.0340728\pi\) | |||||||
\(620\) | − | 0.666014i | − | 0.0267478i | ||||||
\(621\) | 25.1480 | − | 7.53645i | 1.00915 | − | 0.302427i | ||||
\(622\) | −5.19515 | + | 8.99827i | −0.208307 | + | 0.360798i | ||||
\(623\) | 4.01803 | − | 1.51119i | 0.160979 | − | 0.0605445i | ||||
\(624\) | 19.3006 | + | 5.37658i | 0.772643 | + | 0.215235i | ||||
\(625\) | −11.4008 | − | 19.7468i | −0.456033 | − | 0.789872i | ||||
\(626\) | 5.63848 | − | 3.25538i | 0.225359 | − | 0.130111i | ||||
\(627\) | 24.3076 | + | 11.0464i | 0.970751 | + | 0.441152i | ||||
\(628\) | −30.6826 | − | 17.7146i | −1.22437 | − | 0.706890i | ||||
\(629\) | − | 3.31905i | − | 0.132339i | ||||||
\(630\) | 0.0339335 | + | 1.12148i | 0.00135194 | + | 0.0446807i | ||||
\(631\) | −25.4261 | + | 14.6798i | −1.01220 | + | 0.584392i | −0.911834 | − | 0.410559i | \(-0.865334\pi\) |
−0.100363 | + | 0.994951i | \(0.532000\pi\) | |||||||
\(632\) | −9.37626 | − | 16.2402i | −0.372967 | − | 0.645999i | ||||
\(633\) | −39.6574 | + | 28.3510i | −1.57624 | + | 1.12685i | ||||
\(634\) | 0.824476 | + | 1.42804i | 0.0327441 | + | 0.0567145i | ||||
\(635\) | − | 1.03154i | − | 0.0409355i | ||||||
\(636\) | 1.09660 | + | 1.53393i | 0.0434831 | + | 0.0608242i | ||||
\(637\) | 16.1909 | − | 19.3611i | 0.641508 | − | 0.767116i | ||||
\(638\) | − | 8.37510i | − | 0.331573i | ||||||
\(639\) | −13.8894 | + | 40.6180i | −0.549457 | + | 1.60682i | ||||
\(640\) | −3.28284 | + | 1.89535i | −0.129766 | + | 0.0749202i | ||||
\(641\) | − | 36.1139i | − | 1.42641i | −0.700955 | − | 0.713206i | \(-0.747242\pi\) | ||
0.700955 | − | 0.713206i | \(-0.252758\pi\) | |||||||
\(642\) | 0.0657918 | − | 0.144774i | 0.00259660 | − | 0.00571379i | ||||
\(643\) | −17.5990 | − | 30.4823i | −0.694036 | − | 1.20211i | −0.970504 | − | 0.241083i | \(-0.922497\pi\) |
0.276468 | − | 0.961023i | \(-0.410836\pi\) | |||||||
\(644\) | 23.3344 | − | 8.77611i | 0.919504 | − | 0.345827i | ||||
\(645\) | −1.27327 | − | 1.78105i | −0.0501350 | − | 0.0701289i | ||||
\(646\) | −4.58841 | + | 7.94735i | −0.180528 | + | 0.312684i | ||||
\(647\) | −0.132871 | − | 0.230140i | −0.00522371 | − | 0.00904774i | 0.863402 | − | 0.504517i | \(-0.168329\pi\) |
−0.868625 | + | 0.495469i | \(0.834996\pi\) | |||||||
\(648\) | 1.72492 | − | 12.6637i | 0.0677612 | − | 0.497478i | ||||
\(649\) | 32.4323 | − | 18.7248i | 1.27308 | − | 0.735013i | ||||
\(650\) | 2.31677 | − | 5.99559i | 0.0908711 | − | 0.235166i | ||||
\(651\) | 3.53352 | + | 2.36796i | 0.138489 | + | 0.0928078i | ||||
\(652\) | 3.60376 | + | 2.08063i | 0.141134 | + | 0.0814839i | ||||
\(653\) | 13.5807i | 0.531453i | 0.964049 | + | 0.265726i | \(0.0856117\pi\) | ||||
−0.964049 | + | 0.265726i | \(0.914388\pi\) | |||||||
\(654\) | 4.68806 | + | 6.55767i | 0.183318 | + | 0.256425i | ||||
\(655\) | −0.0649706 | − | 0.0375108i | −0.00253861 | − | 0.00146567i | ||||
\(656\) | −30.2321 | − | 17.4545i | −1.18037 | − | 0.681485i | ||||
\(657\) | 10.1889 | − | 2.00300i | 0.397507 | − | 0.0781444i | ||||
\(658\) | 6.92708 | + | 5.68766i | 0.270046 | + | 0.221728i | ||||
\(659\) | −15.6603 | + | 9.04151i | −0.610041 | + | 0.352207i | −0.772981 | − | 0.634429i | \(-0.781235\pi\) |
0.162941 | + | 0.986636i | \(0.447902\pi\) | |||||||
\(660\) | 2.69420 | + | 3.76866i | 0.104872 | + | 0.146695i | ||||
\(661\) | 14.3497 | + | 24.8545i | 0.558140 | + | 0.966726i | 0.997652 | + | 0.0684896i | \(0.0218180\pi\) |
−0.439512 | + | 0.898237i | \(0.644849\pi\) | |||||||
\(662\) | 6.28489 | + | 3.62858i | 0.244269 | + | 0.141029i | ||||
\(663\) | 36.3344 | + | 10.1217i | 1.41111 | + | 0.393094i | ||||
\(664\) | − | 8.68565i | − | 0.337068i | ||||||
\(665\) | −3.93998 | + | 1.48183i | −0.152786 | + | 0.0574631i | ||||
\(666\) | 0.456307 | − | 0.398367i | 0.0176815 | − | 0.0154364i | ||||
\(667\) | 15.4477 | − | 26.7563i | 0.598139 | − | 1.03601i | ||||
\(668\) | −19.9632 | − | 11.5258i | −0.772400 | − | 0.445945i | ||||
\(669\) | −0.309443 | + | 0.221220i | −0.0119638 | + | 0.00855285i | ||||
\(670\) | −0.216665 | + | 0.375275i | −0.00837051 | + | 0.0144981i | ||||
\(671\) | 42.8850i | 1.65556i | ||||||||
\(672\) | 1.22947 | − | 18.3759i | 0.0474277 | − | 0.708865i | ||||
\(673\) | −9.38537 | + | 16.2559i | −0.361780 | + | 0.626621i | −0.988254 | − | 0.152821i | \(-0.951164\pi\) |
0.626474 | + | 0.779442i | \(0.284497\pi\) | |||||||
\(674\) | 4.71530 | 0.181627 | ||||||||
\(675\) | 24.5337 | + | 5.80737i | 0.944301 | + | 0.223526i | ||||
\(676\) | −23.0914 | + | 7.38973i | −0.888132 | + | 0.284220i | ||||
\(677\) | 7.96196 | + | 13.7905i | 0.306003 | + | 0.530013i | 0.977484 | − | 0.211009i | \(-0.0676748\pi\) |
−0.671481 | + | 0.741022i | \(0.734342\pi\) | |||||||
\(678\) | −12.1129 | + | 1.17933i | −0.465192 | + | 0.0452918i | ||||
\(679\) | 10.9615 | − | 13.3502i | 0.420664 | − | 0.512332i | ||||
\(680\) | −2.85768 | + | 1.64988i | −0.109587 | + | 0.0632702i | ||||
\(681\) | 13.2759 | − | 29.2135i | 0.508733 | − | 1.11946i | ||||
\(682\) | −1.27127 | −0.0486794 | ||||||||
\(683\) | −15.9080 | −0.608703 | −0.304352 | − | 0.952560i | \(-0.598440\pi\) | ||||
−0.304352 | + | 0.952560i | \(0.598440\pi\) | |||||||
\(684\) | 22.7030 | − | 4.46310i | 0.868071 | − | 0.170651i | ||||
\(685\) | −0.903412 | + | 0.521585i | −0.0345176 | + | 0.0199288i | ||||
\(686\) | −5.99890 | − | 3.21198i | −0.229039 | − | 0.122634i | ||||
\(687\) | −0.972480 | − | 9.98835i | −0.0371024 | − | 0.381079i | ||||
\(688\) | 5.27035 | + | 9.12852i | 0.200930 | + | 0.348022i | ||||
\(689\) | −1.96318 | − | 0.758597i | −0.0747913 | − | 0.0289002i | ||||
\(690\) | −0.119871 | − | 1.23120i | −0.00456341 | − | 0.0468708i | ||||
\(691\) | 25.7926 | 0.981196 | 0.490598 | − | 0.871386i | \(-0.336778\pi\) | ||||
0.490598 | + | 0.871386i | \(0.336778\pi\) | |||||||
\(692\) | 1.65234 | − | 2.86193i | 0.0628124 | − | 0.108794i | ||||
\(693\) | −29.5735 | + | 0.894832i | −1.12341 | + | 0.0339918i | ||||
\(694\) | 1.87967i | 0.0713513i | ||||||||
\(695\) | −0.613376 | + | 1.06240i | −0.0232667 | + | 0.0402990i | ||||
\(696\) | −8.74720 | − | 12.2356i | −0.331562 | − | 0.463789i | ||||
\(697\) | −56.9136 | − | 32.8591i | −2.15575 | − | 1.24463i | ||||
\(698\) | −3.61280 | + | 6.25755i | −0.136747 | + | 0.236852i | ||||
\(699\) | −15.8921 | + | 1.54728i | −0.601094 | + | 0.0585234i | ||||
\(700\) | 23.6206 | + | 3.90555i | 0.892775 | + | 0.147616i | ||||
\(701\) | − | 32.0791i | − | 1.21161i | −0.795613 | − | 0.605806i | \(-0.792851\pi\) | ||
0.795613 | − | 0.605806i | \(-0.207149\pi\) | |||||||
\(702\) | 2.96947 | + | 6.21014i | 0.112075 | + | 0.234387i | ||||
\(703\) | 1.96810 | + | 1.13628i | 0.0742281 | + | 0.0428556i | ||||
\(704\) | −9.20699 | − | 15.9470i | −0.347002 | − | 0.601024i | ||||
\(705\) | −4.99822 | + | 3.57321i | −0.188244 | + | 0.134575i | ||||
\(706\) | 0.486130 | − | 0.280667i | 0.0182957 | − | 0.0105631i | ||||
\(707\) | 18.8059 | − | 22.9040i | 0.707269 | − | 0.861392i | ||||
\(708\) | 13.4267 | − | 29.5453i | 0.504606 | − | 1.11038i | ||||
\(709\) | 0.688292 | + | 0.397385i | 0.0258493 | + | 0.0149241i | 0.512869 | − | 0.858467i | \(-0.328583\pi\) |
−0.487020 | + | 0.873391i | \(0.661916\pi\) | |||||||
\(710\) | 1.75170 | + | 1.01134i | 0.0657401 | + | 0.0379551i | ||||
\(711\) | −12.8181 | + | 37.4850i | −0.480716 | + | 1.40580i | ||||
\(712\) | 2.30411i | 0.0863503i | ||||||||
\(713\) | −4.06137 | − | 2.34484i | −0.152100 | − | 0.0878148i | ||||
\(714\) | 0.678865 | − | 10.1465i | 0.0254059 | − | 0.379722i | ||||
\(715\) | −4.82328 | − | 1.86377i | −0.180380 | − | 0.0697011i | ||||
\(716\) | −0.509974 | + | 0.294433i | −0.0190586 | + | 0.0110035i | ||||
\(717\) | 22.8623 | + | 10.3896i | 0.853807 | + | 0.388007i | ||||
\(718\) | 4.87994 | + | 8.45231i | 0.182118 | + | 0.315437i | ||||
\(719\) | −10.3984 | + | 18.0105i | −0.387794 | + | 0.671678i | −0.992152 | − | 0.125034i | \(-0.960096\pi\) |
0.604359 | + | 0.796712i | \(0.293429\pi\) | |||||||
\(720\) | 3.50376 | + | 1.19812i | 0.130577 | + | 0.0446512i | ||||
\(721\) | 1.76548 | + | 1.44959i | 0.0657497 | + | 0.0539856i | ||||
\(722\) | 0.348783 | + | 0.604111i | 0.0129804 | + | 0.0224827i | ||||
\(723\) | 11.4667 | + | 5.21095i | 0.426450 | + | 0.193797i | ||||
\(724\) | − | 2.83519i | − | 0.105369i | ||||||
\(725\) | 25.6949 | − | 14.8350i | 0.954286 | − | 0.550957i | ||||
\(726\) | 1.49882 | − | 1.07150i | 0.0556265 | − | 0.0397672i | ||||
\(727\) | 25.4908i | 0.945403i | 0.881223 | + | 0.472701i | \(0.156721\pi\) | ||||
−0.881223 | + | 0.472701i | \(0.843279\pi\) | |||||||
\(728\) | 6.66743 | + | 11.7922i | 0.247111 | + | 0.437049i | ||||
\(729\) | −22.5499 | + | 14.8493i | −0.835182 | + | 0.549974i | ||||
\(730\) | − | 0.489281i | − | 0.0181091i | ||||||
\(731\) | 9.92172 | + | 17.1849i | 0.366968 | + | 0.635607i | ||||
\(732\) | 21.6129 | + | 30.2322i | 0.798837 | + | 1.11742i | ||||
\(733\) | 7.31115 | + | 12.6633i | 0.270044 | + | 0.467729i | 0.968873 | − | 0.247559i | \(-0.0796285\pi\) |
−0.698829 | + | 0.715289i | \(0.746295\pi\) | |||||||
\(734\) | −3.92612 | + | 2.26675i | −0.144916 | + | 0.0836672i | ||||
\(735\) | 3.19413 | − | 3.39945i | 0.117817 | − | 0.125391i | ||||
\(736\) | 20.3051i | 0.748456i | ||||||||
\(737\) | −9.89608 | − | 5.71351i | −0.364527 | − | 0.210460i | ||||
\(738\) | −2.31351 | − | 11.7684i | −0.0851614 | − | 0.433201i | ||||
\(739\) | 17.2245 | − | 9.94454i | 0.633612 | − | 0.365816i | −0.148538 | − | 0.988907i | \(-0.547457\pi\) |
0.782149 | + | 0.623091i | \(0.214123\pi\) | |||||||
\(740\) | 0.197155 | + | 0.341482i | 0.00724755 | + | 0.0125531i | ||||
\(741\) | −18.4410 | + | 18.0800i | −0.677446 | + | 0.664186i | ||||
\(742\) | −0.0925661 | + | 0.559836i | −0.00339821 | + | 0.0205522i | ||||
\(743\) | 9.40416 | − | 16.2885i | 0.345005 | − | 0.597567i | −0.640349 | − | 0.768084i | \(-0.721210\pi\) |
0.985355 | + | 0.170517i | \(0.0545438\pi\) | |||||||
\(744\) | −1.85726 | + | 1.32775i | −0.0680905 | + | 0.0486777i | ||||
\(745\) | − | 3.32848i | − | 0.121946i | ||||||
\(746\) | −3.81247 | + | 6.60340i | −0.139585 | + | 0.241768i | ||||
\(747\) | −13.8226 | + | 12.0674i | −0.505742 | + | 0.441525i | ||||
\(748\) | −20.9941 | − | 36.3628i | −0.767619 | − | 1.32956i | ||||
\(749\) | −0.618811 | + | 0.232736i | −0.0226109 | + | 0.00850398i | ||||
\(750\) | 0.997966 | − | 2.19602i | 0.0364406 | − | 0.0801872i | ||||
\(751\) | −36.3336 | −1.32583 | −0.662917 | − | 0.748693i | \(-0.730682\pi\) | ||||
−0.662917 | + | 0.748693i | \(0.730682\pi\) | |||||||
\(752\) | 25.6176 | − | 14.7903i | 0.934178 | − | 0.539348i | ||||
\(753\) | 4.36205 | + | 44.8027i | 0.158962 | + | 1.63270i | ||||
\(754\) | 7.55632 | + | 2.91985i | 0.275185 | + | 0.106335i | ||||
\(755\) | −3.17984 | −0.115726 | ||||||||
\(756\) | −20.3972 | + | 15.5351i | −0.741840 | + | 0.565008i | ||||
\(757\) | −3.30377 | + | 5.72230i | −0.120078 | + | 0.207980i | −0.919798 | − | 0.392392i | \(-0.871648\pi\) |
0.799720 | + | 0.600373i | \(0.204981\pi\) | |||||||
\(758\) | −5.86185 | − | 3.38434i | −0.212912 | − | 0.122925i | ||||
\(759\) | 32.4669 | − | 3.16102i | 1.17847 | − | 0.114738i | ||||
\(760\) | − | 2.25936i | − | 0.0819555i | ||||||
\(761\) | 8.73521 | + | 5.04328i | 0.316651 | + | 0.182819i | 0.649899 | − | 0.760021i | \(-0.274811\pi\) |
−0.333248 | + | 0.942839i | \(0.608145\pi\) | |||||||
\(762\) | −1.38805 | + | 0.992316i | −0.0502839 | + | 0.0359478i | ||||
\(763\) | 5.46708 | − | 33.0647i | 0.197922 | − | 1.19702i | ||||
\(764\) | −10.0114 | − | 5.78011i | −0.362201 | − | 0.209117i | ||||
\(765\) | 6.59601 | + | 2.25552i | 0.238479 | + | 0.0815486i | ||||
\(766\) | 3.47231 | + | 2.00474i | 0.125460 | + | 0.0724341i | ||||
\(767\) | 5.58716 | + | 35.7897i | 0.201741 | + | 1.29229i | ||||
\(768\) | −9.87060 | − | 4.48563i | −0.356175 | − | 0.161861i | ||||
\(769\) | 9.53336 | − | 16.5123i | 0.343782 | − | 0.595448i | −0.641350 | − | 0.767249i | \(-0.721625\pi\) |
0.985132 | + | 0.171801i | \(0.0549586\pi\) | |||||||
\(770\) | −0.227423 | + | 1.37544i | −0.00819574 | + | 0.0495675i | ||||
\(771\) | −11.2467 | − | 5.11098i | −0.405039 | − | 0.184068i | ||||
\(772\) | −29.1189 | + | 16.8118i | −1.04801 | + | 0.605071i | ||||
\(773\) | 4.06115i | 0.146069i | 0.997329 | + | 0.0730347i | \(0.0232684\pi\) | ||||
−0.997329 | + | 0.0730347i | \(0.976732\pi\) | |||||||
\(774\) | −1.17175 | + | 3.42665i | −0.0421178 | + | 0.123168i | ||||
\(775\) | −2.25182 | − | 3.90027i | −0.0808879 | − | 0.140102i | ||||
\(776\) | 4.63572 | + | 8.02931i | 0.166413 | + | 0.288235i | ||||
\(777\) | −2.51269 | − | 0.168115i | −0.0901423 | − | 0.00603110i | ||||
\(778\) | −6.22563 | − | 3.59437i | −0.223200 | − | 0.128864i | ||||
\(779\) | 38.9688 | − | 22.4986i | 1.39620 | − | 0.806097i | ||||
\(780\) | −4.33952 | + | 1.11692i | −0.155380 | + | 0.0399922i | ||||
\(781\) | −26.6693 | + | 46.1926i | −0.954304 | + | 1.65290i | ||||
\(782\) | 11.2117i | 0.400930i | ||||||||
\(783\) | −7.31911 | + | 30.9201i | −0.261564 | + | 1.10499i | ||||
\(784\) | −16.8917 | + | 14.7994i | −0.603274 | + | 0.528549i | ||||
\(785\) | 7.30869 | 0.260858 | ||||||||
\(786\) | 0.0120251 | + | 0.123510i | 0.000428920 | + | 0.00440544i | ||||
\(787\) | −2.10418 | −0.0750058 | −0.0375029 | − | 0.999297i | \(-0.511940\pi\) | ||||
−0.0375029 | + | 0.999297i | \(0.511940\pi\) | |||||||
\(788\) | −8.26999 | + | 14.3240i | −0.294606 | + | 0.510273i | ||||
\(789\) | −41.5293 | + | 4.04335i | −1.47848 | + | 0.143947i | ||||
\(790\) | 1.61658 | + | 0.933335i | 0.0575155 | + | 0.0332066i | ||||
\(791\) | 39.1043 | + | 32.1077i | 1.39039 | + | 1.14162i | ||||
\(792\) | 5.13826 | − | 15.0262i | 0.182580 | − | 0.533934i | ||||
\(793\) | −38.6924 | − | 14.9512i | −1.37401 | − | 0.530933i | ||||
\(794\) | −4.65614 | + | 8.06466i | −0.165240 | + | 0.286204i | ||||
\(795\) | −0.354128 | − | 0.160931i | −0.0125596 | − | 0.00570764i | ||||
\(796\) | − | 0.887239i | − | 0.0314474i | ||||||
\(797\) | 1.88908 | + | 3.27199i | 0.0669148 | + | 0.115900i | 0.897542 | − | 0.440929i | \(-0.145351\pi\) |
−0.830627 | + | 0.556829i | \(0.812018\pi\) | |||||||
\(798\) | 5.78413 | + | 3.87620i | 0.204756 | + | 0.137216i | ||||
\(799\) | 48.2265 | − | 27.8436i | 1.70613 | − | 0.985035i | ||||
\(800\) | −9.74984 | + | 16.8872i | −0.344709 | + | 0.597053i | ||||
\(801\) | 3.66683 | − | 3.20123i | 0.129561 | − | 0.113110i | ||||
\(802\) | 5.54764 | 0.195894 | ||||||||
\(803\) | 12.9024 | 0.455317 | ||||||||
\(804\) | −9.85582 | + | 0.959577i | −0.347588 | + | 0.0338417i | ||||
\(805\) | −3.26354 | + | 3.97470i | −0.115025 | + | 0.140090i | ||||
\(806\) | 0.443209 | − | 1.14699i | 0.0156114 | − | 0.0404008i | ||||
\(807\) | 13.8699 | + | 6.30307i | 0.488242 | + | 0.221879i | ||||
\(808\) | 7.95319 | + | 13.7753i | 0.279792 | + | 0.484614i | ||||
\(809\) | 29.5425 | − | 17.0564i | 1.03866 | − | 0.599670i | 0.119206 | − | 0.992870i | \(-0.461965\pi\) |
0.919453 | + | 0.393200i | \(0.128632\pi\) | |||||||
\(810\) | 0.481589 | + | 1.17754i | 0.0169213 | + | 0.0413746i | ||||
\(811\) | −2.73443 | −0.0960189 | −0.0480095 | − | 0.998847i | \(-0.515288\pi\) | ||||
−0.0480095 | + | 0.998847i | \(0.515288\pi\) | |||||||
\(812\) | −4.92222 | + | 29.7694i | −0.172736 | + | 1.04470i | ||||
\(813\) | 44.0819 | + | 20.0327i | 1.54602 | + | 0.702579i | ||||
\(814\) | 0.651811 | − | 0.376324i | 0.0228460 | − | 0.0131901i | ||||
\(815\) | −0.858428 | −0.0300694 | ||||||||
\(816\) | −30.5546 | − | 13.8853i | −1.06963 | − | 0.486084i | ||||
\(817\) | −13.5868 | −0.475343 | ||||||||
\(818\) | −0.668130 | −0.0233606 | ||||||||
\(819\) | 9.50303 | − | 26.9943i | 0.332063 | − | 0.943257i | ||||
\(820\) | 7.80742 | 0.272647 | ||||||||
\(821\) | 33.4521 | 1.16749 | 0.583744 | − | 0.811938i | \(-0.301587\pi\) | ||||
0.583744 | + | 0.811938i | \(0.301587\pi\) | |||||||
\(822\) | 1.57091 | + | 0.713890i | 0.0547918 | + | 0.0248998i | ||||
\(823\) | 34.5185 | 1.20324 | 0.601619 | − | 0.798783i | \(-0.294522\pi\) | ||||
0.601619 | + | 0.798783i | \(0.294522\pi\) | |||||||
\(824\) | −1.06183 | + | 0.613045i | −0.0369904 | + | 0.0213564i | ||||
\(825\) | 28.5197 | + | 12.9606i | 0.992927 | + | 0.451230i | ||||
\(826\) | 9.14104 | − | 3.43796i | 0.318058 | − | 0.119622i | ||||
\(827\) | −15.5203 | −0.539693 | −0.269847 | − | 0.962903i | \(-0.586973\pi\) | ||||
−0.269847 | + | 0.962903i | \(0.586973\pi\) | |||||||
\(828\) | 21.2948 | − | 18.5909i | 0.740046 | − | 0.646078i | ||||
\(829\) | 19.9324 | − | 11.5080i | 0.692282 | − | 0.399689i | −0.112184 | − | 0.993687i | \(-0.535785\pi\) |
0.804466 | + | 0.593998i | \(0.202451\pi\) | |||||||
\(830\) | 0.432295 | + | 0.748757i | 0.0150052 | + | 0.0259897i | ||||
\(831\) | −21.6022 | − | 9.81699i | −0.749373 | − | 0.340548i | ||||
\(832\) | 17.5978 | − | 2.74721i | 0.610095 | − | 0.0952424i | ||||
\(833\) | −31.7995 | + | 27.8606i | −1.10179 | + | 0.965313i | ||||
\(834\) | 2.01962 | − | 0.196634i | 0.0699339 | − | 0.00680887i | ||||
\(835\) | 4.75530 | 0.164564 | ||||||||
\(836\) | 28.7493 | 0.994317 | ||||||||
\(837\) | 4.69341 | + | 1.11098i | 0.162228 | + | 0.0384011i | ||||
\(838\) | 2.47938 | − | 4.29441i | 0.0856486 | − | 0.148348i | ||||
\(839\) | −20.8930 | + | 12.0626i | −0.721308 | + | 0.416447i | −0.815234 | − | 0.579132i | \(-0.803392\pi\) |
0.0939262 | + | 0.995579i | \(0.470058\pi\) | |||||||
\(840\) | 1.10430 | + | 2.24698i | 0.0381019 | + | 0.0775281i | ||||
\(841\) | 4.19673 | + | 7.26894i | 0.144715 | + | 0.250653i | ||||
\(842\) | 14.0503i | 0.484207i | ||||||||
\(843\) | 26.1586 | + | 11.8876i | 0.900949 | + | 0.409431i | ||||
\(844\) | −26.2457 | + | 45.4588i | −0.903413 | + | 1.56476i | ||||
\(845\) | 3.36313 | − | 3.70196i | 0.115695 | − | 0.127351i | ||||
\(846\) | 9.61631 | + | 3.28832i | 0.330616 | + | 0.113055i | ||||
\(847\) | −7.55727 | − | 1.24956i | −0.259671 | − | 0.0429353i | ||||
\(848\) | 1.62184 | + | 0.936367i | 0.0556941 | + | 0.0321550i | ||||
\(849\) | 2.96221 | − | 0.288405i | 0.101663 | − | 0.00989802i | ||||
\(850\) | −5.38350 | + | 9.32449i | −0.184652 | + | 0.319828i | ||||
\(851\) | 2.77649 | 0.0951769 | ||||||||
\(852\) | 4.47908 | + | 46.0047i | 0.153451 | + | 1.57609i | ||||
\(853\) | −15.1579 | −0.518998 | −0.259499 | − | 0.965743i | \(-0.583557\pi\) | ||||
−0.259499 | + | 0.965743i | \(0.583557\pi\) | |||||||
\(854\) | −1.82439 | + | 11.0338i | −0.0624292 | + | 0.377569i | ||||
\(855\) | −3.59560 | + | 3.13905i | −0.122967 | + | 0.107353i | ||||
\(856\) | − | 0.354853i | − | 0.0121286i | ||||||
\(857\) | 27.8669 | − | 48.2668i | 0.951914 | − | 1.64876i | 0.210637 | − | 0.977564i | \(-0.432446\pi\) |
0.741277 | − | 0.671199i | \(-0.234220\pi\) | |||||||
\(858\) | 2.13195 | + | 8.28315i | 0.0727836 | + | 0.282782i | ||||
\(859\) | −3.05149 | + | 1.76178i | −0.104116 | + | 0.0601111i | −0.551154 | − | 0.834404i | \(-0.685812\pi\) |
0.447038 | + | 0.894515i | \(0.352479\pi\) | |||||||
\(860\) | −2.04160 | − | 1.17872i | −0.0696179 | − | 0.0401939i | ||||
\(861\) | −27.7587 | + | 41.4220i | −0.946014 | + | 1.41166i | ||||
\(862\) | −1.33105 | − | 2.30545i | −0.0453358 | − | 0.0785239i | ||||
\(863\) | 2.44216 | + | 4.22994i | 0.0831321 | + | 0.143989i | 0.904594 | − | 0.426275i | \(-0.140174\pi\) |
−0.821462 | + | 0.570264i | \(0.806841\pi\) | |||||||
\(864\) | −5.99485 | − | 20.0039i | −0.203949 | − | 0.680547i | ||||
\(865\) | 0.681721i | 0.0231792i | ||||||||
\(866\) | 0.0454727 | − | 0.0262537i | 0.00154522 | − | 0.000892136i | ||||
\(867\) | −30.7140 | − | 13.9578i | −1.04310 | − | 0.474032i | ||||
\(868\) | 4.51874 | + | 0.747151i | 0.153376 | + | 0.0253600i | ||||
\(869\) | −24.6122 | + | 42.6296i | −0.834913 | + | 1.44611i | ||||
\(870\) | 1.36304 | + | 0.619427i | 0.0462115 | + | 0.0210005i | ||||
\(871\) | 8.60506 | − | 6.93668i | 0.291571 | − | 0.235040i | ||||
\(872\) | 15.5780 | + | 8.99399i | 0.527539 | + | 0.304575i | ||||
\(873\) | 6.33740 | − | 18.5330i | 0.214488 | − | 0.627246i | ||||
\(874\) | −6.64820 | − | 3.83834i | −0.224879 | − | 0.129834i | ||||
\(875\) | −9.38646 | + | 3.53026i | −0.317320 | + | 0.119345i | ||||
\(876\) | 9.09571 | − | 6.50250i | 0.307316 | − | 0.219699i | ||||
\(877\) | −30.2262 | − | 17.4511i | −1.02067 | − | 0.589282i | −0.106369 | − | 0.994327i | \(-0.533923\pi\) |
−0.914297 | + | 0.405045i | \(0.867256\pi\) | |||||||
\(878\) | 5.32525i | 0.179719i | ||||||||
\(879\) | −9.58833 | + | 0.933534i | −0.323406 | + | 0.0314873i | ||||
\(880\) | 3.98463 | + | 2.30053i | 0.134322 | + | 0.0775508i | ||||
\(881\) | 13.1786 | − | 22.8259i | 0.443997 | − | 0.769025i | −0.553985 | − | 0.832527i | \(-0.686893\pi\) |
0.997982 | + | 0.0635015i | \(0.0202268\pi\) | |||||||
\(882\) | −7.64701 | − | 1.02787i | −0.257488 | − | 0.0346102i | ||||
\(883\) | 36.6595 | 1.23369 | 0.616845 | − | 0.787085i | \(-0.288411\pi\) | ||||
0.616845 | + | 0.787085i | \(0.288411\pi\) | |||||||
\(884\) | 40.1271 | − | 6.26427i | 1.34962 | − | 0.210690i | ||||
\(885\) | 0.648743 | + | 6.66324i | 0.0218072 | + | 0.223982i | ||||
\(886\) | 4.47526 | − | 2.58379i | 0.150349 | − | 0.0868041i | ||||
\(887\) | −17.2071 | −0.577759 | −0.288879 | − | 0.957365i | \(-0.593283\pi\) | ||||
−0.288879 | + | 0.957365i | \(0.593283\pi\) | |||||||
\(888\) | 0.559221 | − | 1.23056i | 0.0187662 | − | 0.0412949i | ||||
\(889\) | 6.99876 | + | 1.15721i | 0.234731 | + | 0.0388116i | ||||
\(890\) | −0.114678 | − | 0.198629i | −0.00384403 | − | 0.00665806i | ||||
\(891\) | −31.0520 | + | 12.6996i | −1.04028 | + | 0.425453i | ||||
\(892\) | −0.204792 | + | 0.354710i | −0.00685694 | + | 0.0118766i | ||||
\(893\) | 38.1291i | 1.27594i | ||||||||
\(894\) | −4.47884 | + | 3.20191i | −0.149795 | + | 0.107088i | ||||
\(895\) | 0.0607387 | − | 0.105202i | 0.00203027 | − | 0.00351653i | ||||
\(896\) | −9.17669 | − | 24.3995i | −0.306572 | − | 0.815130i | ||||
\(897\) | −8.46711 | + | 30.3949i | −0.282708 | + | 1.01485i | ||||
\(898\) | 3.56082 | + | 6.16752i | 0.118826 | + | 0.205813i | ||||
\(899\) | 4.91557 | − | 2.83801i | 0.163943 | − | 0.0946528i | ||||
\(900\) | 26.6371 | − | 5.23648i | 0.887902 | − | 0.174549i | ||||
\(901\) | 3.05319 | + | 1.76276i | 0.101717 | + | 0.0587261i | ||||
\(902\) | − | 14.9026i | − | 0.496202i | ||||||
\(903\) | 13.5124 | − | 6.64079i | 0.449664 | − | 0.220992i | ||||
\(904\) | −23.5189 | + | 13.5786i | −0.782225 | + | 0.451618i | ||||
\(905\) | 0.292436 | + | 0.506514i | 0.00972091 | + | 0.0168371i | ||||
\(906\) | 3.05892 | + | 4.27883i | 0.101626 | + | 0.142155i | ||||
\(907\) | 5.15433 | + | 8.92756i | 0.171147 | + | 0.296435i | 0.938821 | − | 0.344405i | \(-0.111919\pi\) |
−0.767674 | + | 0.640840i | \(0.778586\pi\) | |||||||
\(908\) | − | 34.5517i | − | 1.14664i | ||||||
\(909\) | 10.8726 | − | 31.7958i | 0.360623 | − | 1.05460i | ||||
\(910\) | −1.16169 | − | 0.684716i | −0.0385095 | − | 0.0226981i | ||||
\(911\) | − | 30.8394i | − | 1.02175i | −0.859654 | − | 0.510877i | \(-0.829321\pi\) | ||
0.859654 | − | 0.510877i | \(-0.170679\pi\) | |||||||
\(912\) | 18.6940 | − | 13.3643i | 0.619019 | − | 0.442535i | ||||
\(913\) | −19.7449 | + | 11.3997i | −0.653460 | + | 0.377275i | ||||
\(914\) | − | 2.79941i | − | 0.0925962i | ||||||
\(915\) | −6.97951 | − | 3.17179i | −0.230735 | − | 0.104856i | ||||
\(916\) | −5.40296 | − | 9.35819i | −0.178519 | − | 0.309203i | ||||
\(917\) | 0.327387 | − | 0.398729i | 0.0108113 | − | 0.0131672i | ||||
\(918\) | −3.31013 | − | 11.0454i | −0.109251 | − | 0.364553i | ||||
\(919\) | −6.71805 | + | 11.6360i | −0.221608 | + | 0.383836i | −0.955296 | − | 0.295650i | \(-0.904464\pi\) |
0.733688 | + | 0.679486i | \(0.237797\pi\) | |||||||
\(920\) | −1.38018 | − | 2.39054i | −0.0455031 | − | 0.0788138i | ||||
\(921\) | −14.0497 | − | 6.38478i | −0.462952 | − | 0.210386i | ||||
\(922\) | 11.7197 | − | 6.76638i | 0.385968 | − | 0.222839i | ||||
\(923\) | −32.3788 | − | 40.1664i | −1.06576 | − | 1.32209i | ||||
\(924\) | −28.5918 | + | 14.0517i | −0.940603 | + | 0.462268i | ||||
\(925\) | 2.30913 | + | 1.33318i | 0.0759238 | + | 0.0438346i | ||||
\(926\) | − | 6.92071i | − | 0.227429i | ||||||
\(927\) | 2.45087 | + | 0.838081i | 0.0804971 | + | 0.0275262i | ||||
\(928\) | −21.2832 | − | 12.2879i | −0.698655 | − | 0.403369i | ||||
\(929\) | −50.7317 | − | 29.2899i | −1.66445 | − | 0.960972i | −0.970549 | − | 0.240904i | \(-0.922556\pi\) |
−0.693903 | − | 0.720068i | \(-0.744111\pi\) | |||||||
\(930\) | 0.0940237 | − | 0.206898i | 0.00308316 | − | 0.00678447i | ||||
\(931\) | −5.63391 | − | 28.3942i | −0.184644 | − | 0.930582i | ||||
\(932\) | −14.8895 | + | 8.59644i | −0.487721 | + | 0.281586i | ||||
\(933\) | 39.8461 | − | 28.4858i | 1.30450 | − | 0.932584i | ||||
\(934\) | −1.35874 | − | 2.35340i | −0.0444592 | − | 0.0770056i | ||||
\(935\) | 7.50128 | + | 4.33087i | 0.245318 | + | 0.141635i | ||||
\(936\) | 11.7658 | + | 9.87460i | 0.384579 | + | 0.322761i | ||||
\(937\) | − | 11.8971i | − | 0.388661i | −0.980936 | − | 0.194330i | \(-0.937747\pi\) | ||
0.980936 | − | 0.194330i | \(-0.0622534\pi\) | |||||||
\(938\) | −2.30309 | − | 1.89101i | −0.0751985 | − | 0.0617438i | ||||
\(939\) | −30.5480 | + | 2.97420i | −0.996897 | + | 0.0970594i | ||||
\(940\) | −3.30787 | + | 5.72939i | −0.107891 | + | 0.186872i | ||||
\(941\) | −2.49931 | − | 1.44298i | −0.0814752 | − | 0.0470397i | 0.458709 | − | 0.888587i | \(-0.348312\pi\) |
−0.540184 | + | 0.841547i | \(0.681645\pi\) | |||||||
\(942\) | −7.03077 | − | 9.83466i | −0.229075 | − | 0.320430i | ||||
\(943\) | 27.4876 | − | 47.6099i | 0.895119 | − | 1.55039i | ||||
\(944\) | − | 32.2317i | − | 1.04905i | ||||||
\(945\) | 2.04164 | − | 4.87926i | 0.0664146 | − | 0.158722i | ||||
\(946\) | −2.24990 | + | 3.89695i | −0.0731507 | + | 0.126701i | ||||
\(947\) | −48.6031 | −1.57939 | −0.789694 | − | 0.613501i | \(-0.789761\pi\) | ||||
−0.789694 | + | 0.613501i | \(0.789761\pi\) | |||||||
\(948\) | 4.13360 | + | 42.4562i | 0.134253 | + | 1.37891i | ||||
\(949\) | −4.49824 | + | 11.6410i | −0.146019 | + | 0.377884i | ||||
\(950\) | −3.68609 | − | 6.38449i | −0.119593 | − | 0.207140i | ||||
\(951\) | −0.753264 | − | 7.73677i | −0.0244262 | − | 0.250882i | ||||
\(952\) | −7.98824 | − | 21.2396i | −0.258900 | − | 0.688378i | ||||
\(953\) | −26.6763 | + | 15.4016i | −0.864132 | + | 0.498907i | −0.865394 | − | 0.501093i | \(-0.832932\pi\) |
0.00126212 | + | 0.999999i | \(0.499598\pi\) | |||||||
\(954\) | 0.124111 | + | 0.631329i | 0.00401823 | + | 0.0204400i | ||||
\(955\) | 2.38476 | 0.0771689 | ||||||||
\(956\) | 27.0399 | 0.874534 | ||||||||
\(957\) | −16.3344 | + | 35.9437i | −0.528016 | + | 1.16190i | ||||
\(958\) | 8.25302 | − | 4.76488i | 0.266643 | − | 0.153946i | ||||
\(959\) | −2.52536 | − | 6.71456i | −0.0815480 | − | 0.216824i | ||||
\(960\) | 3.27632 | − | 0.318987i | 0.105743 | − | 0.0102953i | ||||
\(961\) | 15.0692 | + | 26.1006i | 0.486104 | + | 0.841956i | ||||
\(962\) | 0.112288 | + | 0.719288i | 0.00362033 | + | 0.0231908i | ||||
\(963\) | −0.564722 | + | 0.493016i | −0.0181979 | + | 0.0158872i | ||||
\(964\) | 13.5620 | 0.436802 | ||||||||
\(965\) | 3.46811 | − | 6.00694i | 0.111642 | − | 0.193370i | ||||
\(966\) | 8.48784 | + | 0.567892i | 0.273092 | + | 0.0182716i | ||||
\(967\) | − | 24.0707i | − | 0.774063i | −0.922067 | − | 0.387031i | \(-0.873500\pi\) | ||
0.922067 | − | 0.387031i | \(-0.126500\pi\) | |||||||
\(968\) | 2.05567 | − | 3.56052i | 0.0660717 | − | 0.114439i | ||||
\(969\) | 35.1924 | − | 25.1589i | 1.13054 | − | 0.808221i | ||||
\(970\) | −0.799256 | − | 0.461451i | −0.0256626 | − | 0.0148163i | ||||
\(971\) | 11.6204 | − | 20.1271i | 0.372917 | − | 0.645911i | −0.617096 | − | 0.786888i | \(-0.711691\pi\) |
0.990013 | + | 0.140977i | \(0.0450244\pi\) | |||||||
\(972\) | −15.4902 | + | 24.6022i | −0.496848 | + | 0.789115i | ||||
\(973\) | −6.52001 | − | 5.35343i | −0.209022 | − | 0.171623i | ||||
\(974\) | 8.64928i | 0.277141i | ||||||||
\(975\) | −21.6365 | + | 21.2130i | −0.692922 | + | 0.679359i | ||||
\(976\) | 31.9648 | + | 18.4549i | 1.02317 | + | 0.590726i | ||||
\(977\) | 19.0378 | + | 32.9745i | 0.609074 | + | 1.05495i | 0.991393 | + | 0.130917i | \(0.0417922\pi\) |
−0.382319 | + | 0.924030i | \(0.624874\pi\) | |||||||
\(978\) | 0.825785 | + | 1.15511i | 0.0264057 | + | 0.0369364i | ||||
\(979\) | 5.23788 | − | 3.02409i | 0.167403 | − | 0.0966504i | ||||
\(980\) | 1.61675 | − | 4.75536i | 0.0516452 | − | 0.151904i | ||||
\(981\) | −7.33015 | − | 37.2872i | −0.234034 | − | 1.19049i | ||||
\(982\) | −2.78204 | − | 1.60621i | −0.0887786 | − | 0.0512563i | ||||
\(983\) | −29.3131 | − | 16.9239i | −0.934941 | − | 0.539789i | −0.0465703 | − | 0.998915i | \(-0.514829\pi\) |
−0.888371 | + | 0.459126i | \(0.848162\pi\) | |||||||
\(984\) | −15.5647 | − | 21.7720i | −0.496185 | − | 0.694065i | ||||
\(985\) | − | 3.41203i | − | 0.108716i | ||||||
\(986\) | −11.7518 | − | 6.78490i | −0.374253 | − | 0.216075i | ||||
\(987\) | −18.6362 | − | 37.9202i | −0.593198 | − | 1.20701i | ||||
\(988\) | −10.0230 | + | 25.9387i | −0.318875 | + | 0.825220i | ||||
\(989\) | −14.3757 | + | 8.29982i | −0.457121 | + | 0.263919i | ||||
\(990\) | 0.304924 | + | 1.55109i | 0.00969111 | + | 0.0492969i | ||||
\(991\) | 12.0894 | + | 20.9394i | 0.384032 | + | 0.665162i | 0.991634 | − | 0.129079i | \(-0.0412020\pi\) |
−0.607603 | + | 0.794241i | \(0.707869\pi\) | |||||||
\(992\) | −1.86519 | + | 3.23061i | −0.0592199 | + | 0.102572i | ||||
\(993\) | −19.8961 | − | 27.8307i | −0.631383 | − | 0.883181i | ||||
\(994\) | −8.82682 | + | 10.7503i | −0.279970 | + | 0.340979i | ||||
\(995\) | 0.0915143 | + | 0.158507i | 0.00290120 | + | 0.00502502i | ||||
\(996\) | −8.17420 | + | 17.9873i | −0.259009 | + | 0.569948i | ||||
\(997\) | − | 56.1681i | − | 1.77886i | −0.457070 | − | 0.889431i | \(-0.651101\pi\) | ||
0.457070 | − | 0.889431i | \(-0.348899\pi\) | |||||||
\(998\) | −7.76751 | + | 4.48457i | −0.245876 | + | 0.141957i | ||||
\(999\) | −2.73530 | + | 0.819726i | −0.0865412 | + | 0.0259350i |
(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 | 273.2.br.b.17.18 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.br.b.17.15 | yes | 64 | |
7.5 | odd | 6 | 273.2.y.b.173.15 | yes | 64 | ||
13.10 | even | 6 | 273.2.y.b.101.18 | yes | 64 | ||
21.5 | even | 6 | 273.2.y.b.173.18 | yes | 64 | ||
39.23 | odd | 6 | 273.2.y.b.101.15 | ✓ | 64 | ||
91.75 | odd | 6 | inner | 273.2.br.b.257.15 | yes | 64 | |
273.257 | even | 6 | inner | 273.2.br.b.257.18 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.y.b.101.15 | ✓ | 64 | 39.23 | odd | 6 | ||
273.2.y.b.101.18 | yes | 64 | 13.10 | even | 6 | ||
273.2.y.b.173.15 | yes | 64 | 7.5 | odd | 6 | ||
273.2.y.b.173.18 | yes | 64 | 21.5 | even | 6 | ||
273.2.br.b.17.15 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.br.b.17.18 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.br.b.257.15 | yes | 64 | 91.75 | odd | 6 | inner | |
273.2.br.b.257.18 | yes | 64 | 273.257 | even | 6 | inner |