Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(4,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.s (of order \(10\), degree \(4\), 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: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 49.7 | ||
Character | \(\chi\) | \(=\) | 165.49 |
Dual form | 165.2.s.a.64.7 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.283476 | − | 0.0921069i | 0.200448 | − | 0.0651294i | −0.207072 | − | 0.978326i | \(-0.566394\pi\) |
0.407520 | + | 0.913196i | \(0.366394\pi\) | |||||||
\(3\) | −0.587785 | + | 0.809017i | −0.339358 | + | 0.467086i | ||||
\(4\) | −1.54616 | + | 1.12335i | −0.773080 | + | 0.561675i | ||||
\(5\) | −1.92187 | + | 1.14299i | −0.859486 | + | 0.511159i | ||||
\(6\) | −0.0921069 | + | 0.283476i | −0.0376025 | + | 0.115729i | ||||
\(7\) | −1.36429 | − | 1.87778i | −0.515653 | − | 0.709735i | 0.469207 | − | 0.883088i | \(-0.344540\pi\) |
−0.984860 | + | 0.173353i | \(0.944540\pi\) | |||||||
\(8\) | −0.685226 | + | 0.943133i | −0.242264 | + | 0.333448i | ||||
\(9\) | −0.309017 | − | 0.951057i | −0.103006 | − | 0.317019i | ||||
\(10\) | −0.439527 | + | 0.501026i | −0.138991 | + | 0.158438i | ||||
\(11\) | −0.521566 | + | 3.27536i | −0.157258 | + | 0.987558i | ||||
\(12\) | − | 1.91116i | − | 0.551704i | ||||||
\(13\) | −4.36612 | + | 1.41864i | −1.21094 | + | 0.393459i | −0.843776 | − | 0.536695i | \(-0.819672\pi\) |
−0.367168 | + | 0.930155i | \(0.619672\pi\) | |||||||
\(14\) | −0.559700 | − | 0.406646i | −0.149586 | − | 0.108681i | ||||
\(15\) | 0.204952 | − | 2.22666i | 0.0529183 | − | 0.574920i | ||||
\(16\) | 1.07378 | − | 3.30477i | 0.268446 | − | 0.826192i | ||||
\(17\) | 4.88887 | + | 1.58849i | 1.18573 | + | 0.385266i | 0.834491 | − | 0.551022i | \(-0.185762\pi\) |
0.351235 | + | 0.936287i | \(0.385762\pi\) | |||||||
\(18\) | −0.175198 | − | 0.241139i | −0.0412945 | − | 0.0568370i | ||||
\(19\) | 4.60482 | + | 3.34560i | 1.05642 | + | 0.767532i | 0.973422 | − | 0.229018i | \(-0.0735514\pi\) |
0.0829952 | + | 0.996550i | \(0.473551\pi\) | |||||||
\(20\) | 1.68754 | − | 3.92617i | 0.377346 | − | 0.877918i | ||||
\(21\) | 2.32107 | 0.506498 | ||||||||
\(22\) | 0.153832 | + | 0.976525i | 0.0327970 | + | 0.208196i | ||||
\(23\) | 6.02600i | 1.25651i | 0.778008 | + | 0.628254i | \(0.216230\pi\) | ||||
−0.778008 | + | 0.628254i | \(0.783770\pi\) | |||||||
\(24\) | −0.360245 | − | 1.10872i | −0.0735346 | − | 0.226316i | ||||
\(25\) | 2.38717 | − | 4.39334i | 0.477433 | − | 0.878668i | ||||
\(26\) | −1.10702 | + | 0.804299i | −0.217105 | + | 0.157736i | ||||
\(27\) | 0.951057 | + | 0.309017i | 0.183031 | + | 0.0594703i | ||||
\(28\) | 4.21882 | + | 1.37078i | 0.797281 | + | 0.259052i | ||||
\(29\) | −4.93288 | + | 3.58395i | −0.916013 | + | 0.665522i | −0.942528 | − | 0.334126i | \(-0.891559\pi\) |
0.0265157 | + | 0.999648i | \(0.491559\pi\) | |||||||
\(30\) | −0.146991 | − | 0.650081i | −0.0268368 | − | 0.118688i | ||||
\(31\) | −2.60554 | − | 8.01903i | −0.467969 | − | 1.44026i | −0.855210 | − | 0.518282i | \(-0.826572\pi\) |
0.387241 | − | 0.921978i | \(-0.373428\pi\) | |||||||
\(32\) | − | 3.36728i | − | 0.595256i | ||||||
\(33\) | −2.34325 | − | 2.34716i | −0.407908 | − | 0.408589i | ||||
\(34\) | 1.53219 | 0.262768 | ||||||||
\(35\) | 4.76826 | + | 2.04949i | 0.805984 | + | 0.346427i | ||||
\(36\) | 1.54616 | + | 1.12335i | 0.257693 | + | 0.187225i | ||||
\(37\) | −1.86492 | − | 2.56684i | −0.306591 | − | 0.421986i | 0.627723 | − | 0.778436i | \(-0.283987\pi\) |
−0.934314 | + | 0.356450i | \(0.883987\pi\) | |||||||
\(38\) | 1.61351 | + | 0.524260i | 0.261745 | + | 0.0850462i | ||||
\(39\) | 1.41864 | − | 4.36612i | 0.227164 | − | 0.699139i | ||||
\(40\) | 0.238928 | − | 2.59578i | 0.0377778 | − | 0.410429i | ||||
\(41\) | −0.379099 | − | 0.275431i | −0.0592053 | − | 0.0430151i | 0.557789 | − | 0.829983i | \(-0.311650\pi\) |
−0.616994 | + | 0.786968i | \(0.711650\pi\) | |||||||
\(42\) | 0.657967 | − | 0.213786i | 0.101526 | − | 0.0329879i | ||||
\(43\) | 8.08805i | 1.23342i | 0.787192 | + | 0.616708i | \(0.211534\pi\) | ||||
−0.787192 | + | 0.616708i | \(0.788466\pi\) | |||||||
\(44\) | −2.87295 | − | 5.65013i | −0.433114 | − | 0.851788i | ||||
\(45\) | 1.68093 | + | 1.47460i | 0.250579 | + | 0.219821i | ||||
\(46\) | 0.555036 | + | 1.70823i | 0.0818357 | + | 0.251864i | ||||
\(47\) | −5.40020 | + | 7.43273i | −0.787700 | + | 1.08418i | 0.206691 | + | 0.978406i | \(0.433730\pi\) |
−0.994391 | + | 0.105769i | \(0.966270\pi\) | |||||||
\(48\) | 2.04246 | + | 2.81120i | 0.294804 | + | 0.405762i | ||||
\(49\) | 0.498336 | − | 1.53372i | 0.0711908 | − | 0.219103i | ||||
\(50\) | 0.272047 | − | 1.46528i | 0.0384733 | − | 0.207222i | ||||
\(51\) | −4.15872 | + | 3.02149i | −0.582338 | + | 0.423093i | ||||
\(52\) | 5.15709 | − | 7.09812i | 0.715159 | − | 0.984332i | ||||
\(53\) | 4.05047 | − | 1.31608i | 0.556375 | − | 0.180777i | −0.0173146 | − | 0.999850i | \(-0.505512\pi\) |
0.573689 | + | 0.819073i | \(0.305512\pi\) | |||||||
\(54\) | 0.298064 | 0.0405614 | ||||||||
\(55\) | −2.74131 | − | 6.89095i | −0.369638 | − | 0.929176i | ||||
\(56\) | 2.70584 | 0.361584 | ||||||||
\(57\) | −5.41329 | + | 1.75888i | −0.717007 | + | 0.232970i | ||||
\(58\) | −1.06825 | + | 1.47031i | −0.140268 | + | 0.193062i | ||||
\(59\) | 5.38782 | − | 3.91448i | 0.701434 | − | 0.509622i | −0.178965 | − | 0.983855i | \(-0.557275\pi\) |
0.880399 | + | 0.474234i | \(0.157275\pi\) | |||||||
\(60\) | 2.18443 | + | 3.67300i | 0.282008 | + | 0.474182i | ||||
\(61\) | −0.562537 | + | 1.73131i | −0.0720255 | + | 0.221672i | −0.980589 | − | 0.196076i | \(-0.937180\pi\) |
0.908563 | + | 0.417747i | \(0.137180\pi\) | |||||||
\(62\) | −1.47722 | − | 2.03321i | −0.187607 | − | 0.258218i | ||||
\(63\) | −1.36429 | + | 1.87778i | −0.171884 | + | 0.236578i | ||||
\(64\) | 1.83742 | + | 5.65499i | 0.229677 | + | 0.706874i | ||||
\(65\) | 6.76963 | − | 7.71685i | 0.839669 | − | 0.957157i | ||||
\(66\) | −0.880445 | − | 0.449534i | −0.108375 | − | 0.0553339i | ||||
\(67\) | 8.86541i | 1.08308i | 0.840674 | + | 0.541541i | \(0.182159\pi\) | ||||
−0.840674 | + | 0.541541i | \(0.817841\pi\) | |||||||
\(68\) | −9.34341 | + | 3.03586i | −1.13305 | + | 0.368152i | ||||
\(69\) | −4.87514 | − | 3.54199i | −0.586898 | − | 0.426406i | ||||
\(70\) | 1.54046 | + | 0.141791i | 0.184120 | + | 0.0169473i | ||||
\(71\) | −0.756682 | + | 2.32883i | −0.0898017 | + | 0.276381i | −0.985864 | − | 0.167547i | \(-0.946415\pi\) |
0.896062 | + | 0.443928i | \(0.146415\pi\) | |||||||
\(72\) | 1.10872 | + | 0.360245i | 0.130664 | + | 0.0424552i | ||||
\(73\) | −5.33885 | − | 7.34830i | −0.624865 | − | 0.860053i | 0.372831 | − | 0.927899i | \(-0.378387\pi\) |
−0.997696 | + | 0.0678465i | \(0.978387\pi\) | |||||||
\(74\) | −0.765084 | − | 0.555866i | −0.0889392 | − | 0.0646181i | ||||
\(75\) | 2.15114 | + | 4.51360i | 0.248393 | + | 0.521186i | ||||
\(76\) | −10.8781 | −1.24780 | ||||||||
\(77\) | 6.86198 | − | 3.48915i | 0.781995 | − | 0.397625i | ||||
\(78\) | − | 1.36836i | − | 0.154936i | ||||||
\(79\) | 3.99441 | + | 12.2935i | 0.449406 | + | 1.38313i | 0.877579 | + | 0.479433i | \(0.159157\pi\) |
−0.428173 | + | 0.903697i | \(0.640843\pi\) | |||||||
\(80\) | 1.71363 | + | 7.57866i | 0.191590 | + | 0.847319i | ||||
\(81\) | −0.809017 | + | 0.587785i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | −0.132834 | − | 0.0431605i | −0.0146691 | − | 0.00476628i | ||||
\(83\) | −7.93896 | − | 2.57952i | −0.871414 | − | 0.283139i | −0.161026 | − | 0.986950i | \(-0.551480\pi\) |
−0.710388 | + | 0.703811i | \(0.751480\pi\) | |||||||
\(84\) | −3.58874 | + | 2.60737i | −0.391563 | + | 0.284488i | ||||
\(85\) | −11.2114 | + | 2.53504i | −1.21605 | + | 0.274964i | ||||
\(86\) | 0.744965 | + | 2.29277i | 0.0803317 | + | 0.247235i | ||||
\(87\) | − | 6.09737i | − | 0.653707i | ||||||
\(88\) | −2.73171 | − | 2.73627i | −0.291201 | − | 0.291687i | ||||
\(89\) | 3.73882 | 0.396314 | 0.198157 | − | 0.980170i | \(-0.436504\pi\) | ||||
0.198157 | + | 0.980170i | \(0.436504\pi\) | |||||||
\(90\) | 0.612326 | + | 0.263189i | 0.0645448 | + | 0.0277426i | ||||
\(91\) | 8.62054 | + | 6.26319i | 0.903678 | + | 0.656561i | ||||
\(92\) | −6.76931 | − | 9.31716i | −0.705749 | − | 0.971381i | ||||
\(93\) | 8.01903 | + | 2.60554i | 0.831535 | + | 0.270182i | ||||
\(94\) | −0.846220 | + | 2.60440i | −0.0872809 | + | 0.268623i | ||||
\(95\) | −12.6738 | − | 1.16656i | −1.30031 | − | 0.119686i | ||||
\(96\) | 2.72418 | + | 1.97924i | 0.278036 | + | 0.202005i | ||||
\(97\) | 5.31638 | − | 1.72740i | 0.539797 | − | 0.175391i | −0.0264138 | − | 0.999651i | \(-0.508409\pi\) |
0.566211 | + | 0.824260i | \(0.308409\pi\) | |||||||
\(98\) | − | 0.480673i | − | 0.0485553i | ||||||
\(99\) | 3.27622 | − | 0.516103i | 0.329273 | − | 0.0518703i | ||||
\(100\) | 1.24432 | + | 9.47443i | 0.124432 | + | 0.947443i | ||||
\(101\) | −0.498799 | − | 1.53515i | −0.0496324 | − | 0.152753i | 0.923169 | − | 0.384395i | \(-0.125590\pi\) |
−0.972801 | + | 0.231643i | \(0.925590\pi\) | |||||||
\(102\) | −0.900598 | + | 1.23957i | −0.0891725 | + | 0.122735i | ||||
\(103\) | 5.00700 | + | 6.89154i | 0.493354 | + | 0.679043i | 0.981002 | − | 0.193997i | \(-0.0621451\pi\) |
−0.487648 | + | 0.873040i | \(0.662145\pi\) | |||||||
\(104\) | 1.65381 | − | 5.08992i | 0.162170 | − | 0.499107i | ||||
\(105\) | −4.46079 | + | 2.65295i | −0.435328 | + | 0.258901i | ||||
\(106\) | 1.02699 | − | 0.746152i | 0.0997502 | − | 0.0724727i | ||||
\(107\) | −3.59375 | + | 4.94637i | −0.347421 | + | 0.478183i | −0.946590 | − | 0.322439i | \(-0.895497\pi\) |
0.599170 | + | 0.800622i | \(0.295497\pi\) | |||||||
\(108\) | −1.81762 | + | 0.590580i | −0.174900 | + | 0.0568286i | ||||
\(109\) | −5.73259 | −0.549082 | −0.274541 | − | 0.961575i | \(-0.588526\pi\) | ||||
−0.274541 | + | 0.961575i | \(0.588526\pi\) | |||||||
\(110\) | −1.41180 | − | 1.70093i | −0.134610 | − | 0.162177i | ||||
\(111\) | 3.17279 | 0.301148 | ||||||||
\(112\) | −7.67059 | + | 2.49233i | −0.724802 | + | 0.235503i | ||||
\(113\) | 4.84353 | − | 6.66655i | 0.455641 | − | 0.627136i | −0.517956 | − | 0.855407i | \(-0.673307\pi\) |
0.973598 | + | 0.228271i | \(0.0733071\pi\) | |||||||
\(114\) | −1.37253 | + | 0.997202i | −0.128549 | + | 0.0933966i | ||||
\(115\) | −6.88763 | − | 11.5812i | −0.642275 | − | 1.07995i | ||||
\(116\) | 3.60099 | − | 11.0827i | 0.334343 | − | 1.02900i | ||||
\(117\) | 2.69841 | + | 3.71404i | 0.249468 | + | 0.343363i | ||||
\(118\) | 1.16677 | − | 1.60592i | 0.107410 | − | 0.147837i | ||||
\(119\) | −3.68699 | − | 11.3474i | −0.337986 | − | 1.04021i | ||||
\(120\) | 1.95959 | + | 1.71906i | 0.178886 | + | 0.156928i | ||||
\(121\) | −10.4559 | − | 3.41663i | −0.950540 | − | 0.310603i | ||||
\(122\) | 0.542598i | 0.0491245i | ||||||||
\(123\) | 0.445657 | − | 0.144803i | 0.0401836 | − | 0.0130564i | ||||
\(124\) | 13.0368 | + | 9.47176i | 1.17074 | + | 0.850589i | ||||
\(125\) | 0.433700 | + | 11.1719i | 0.0387913 | + | 0.999247i | ||||
\(126\) | −0.213786 | + | 0.657967i | −0.0190456 | + | 0.0586163i | ||||
\(127\) | 11.4871 | + | 3.73239i | 1.01932 | + | 0.331196i | 0.770559 | − | 0.637369i | \(-0.219977\pi\) |
0.248759 | + | 0.968565i | \(0.419977\pi\) | |||||||
\(128\) | 5.00020 | + | 6.88219i | 0.441959 | + | 0.608305i | ||||
\(129\) | −6.54337 | − | 4.75404i | −0.576112 | − | 0.418570i | ||||
\(130\) | 1.20825 | − | 2.81107i | 0.105971 | − | 0.246547i | ||||
\(131\) | 3.28131 | 0.286689 | 0.143345 | − | 0.989673i | \(-0.454214\pi\) | ||||
0.143345 | + | 0.989673i | \(0.454214\pi\) | |||||||
\(132\) | 6.25973 | + | 0.996794i | 0.544839 | + | 0.0867598i | ||||
\(133\) | − | 13.2112i | − | 1.14556i | ||||||
\(134\) | 0.816565 | + | 2.51313i | 0.0705405 | + | 0.217101i | ||||
\(135\) | −2.18101 | + | 0.493154i | −0.187711 | + | 0.0424439i | ||||
\(136\) | −4.84814 | + | 3.52238i | −0.415725 | + | 0.302042i | ||||
\(137\) | 3.82077 | + | 1.24144i | 0.326431 | + | 0.106064i | 0.467648 | − | 0.883915i | \(-0.345102\pi\) |
−0.141217 | + | 0.989979i | \(0.545102\pi\) | |||||||
\(138\) | −1.70823 | − | 0.555036i | −0.145414 | − | 0.0472478i | ||||
\(139\) | −1.43963 | + | 1.04595i | −0.122108 | + | 0.0887167i | −0.647163 | − | 0.762352i | \(-0.724045\pi\) |
0.525055 | + | 0.851068i | \(0.324045\pi\) | |||||||
\(140\) | −9.67479 | + | 2.18759i | −0.817669 | + | 0.184885i | ||||
\(141\) | −2.83905 | − | 8.73770i | −0.239091 | − | 0.735847i | ||||
\(142\) | 0.729862i | 0.0612487i | ||||||||
\(143\) | −2.36933 | − | 15.0405i | −0.198133 | − | 1.25775i | ||||
\(144\) | −3.47484 | −0.289570 | ||||||||
\(145\) | 5.38395 | − | 12.5261i | 0.447113 | − | 1.04024i | ||||
\(146\) | −2.19026 | − | 1.59132i | −0.181268 | − | 0.131699i | ||||
\(147\) | 0.947891 | + | 1.30466i | 0.0781808 | + | 0.107607i | ||||
\(148\) | 5.76692 | + | 1.87379i | 0.474038 | + | 0.154024i | ||||
\(149\) | 0.682251 | − | 2.09975i | 0.0558922 | − | 0.172018i | −0.919213 | − | 0.393760i | \(-0.871174\pi\) |
0.975105 | + | 0.221742i | \(0.0711741\pi\) | |||||||
\(150\) | 1.02553 | + | 1.08136i | 0.0837343 | + | 0.0882928i | ||||
\(151\) | 10.3988 | + | 7.55517i | 0.846242 | + | 0.614831i | 0.924107 | − | 0.382133i | \(-0.124810\pi\) |
−0.0778651 | + | 0.996964i | \(0.524810\pi\) | |||||||
\(152\) | −6.31068 | + | 2.05046i | −0.511864 | + | 0.166315i | ||||
\(153\) | − | 5.14046i | − | 0.415582i | ||||||
\(154\) | 1.62383 | − | 1.62112i | 0.130852 | − | 0.130634i | ||||
\(155\) | 14.1731 | + | 12.4334i | 1.13841 | + | 0.998677i | ||||
\(156\) | 2.71124 | + | 8.34434i | 0.217073 | + | 0.668082i | ||||
\(157\) | −0.493533 | + | 0.679290i | −0.0393882 | + | 0.0542132i | −0.828257 | − | 0.560349i | \(-0.810667\pi\) |
0.788869 | + | 0.614562i | \(0.210667\pi\) | |||||||
\(158\) | 2.26464 | + | 3.11701i | 0.180165 | + | 0.247976i | ||||
\(159\) | −1.31608 | + | 4.05047i | −0.104372 | + | 0.321223i | ||||
\(160\) | 3.84875 | + | 6.47147i | 0.304270 | + | 0.511615i | ||||
\(161\) | 11.3155 | − | 8.22121i | 0.891788 | − | 0.647922i | ||||
\(162\) | −0.175198 | + | 0.241139i | −0.0137648 | + | 0.0189457i | ||||
\(163\) | 10.5452 | − | 3.42634i | 0.825963 | − | 0.268372i | 0.134619 | − | 0.990897i | \(-0.457019\pi\) |
0.691344 | + | 0.722526i | \(0.257019\pi\) | |||||||
\(164\) | 0.895553 | 0.0699309 | ||||||||
\(165\) | 7.18620 | + | 1.83264i | 0.559445 | + | 0.142671i | ||||
\(166\) | −2.48810 | −0.193114 | ||||||||
\(167\) | 4.24625 | − | 1.37969i | 0.328585 | − | 0.106764i | −0.140079 | − | 0.990140i | \(-0.544736\pi\) |
0.468664 | + | 0.883377i | \(0.344736\pi\) | |||||||
\(168\) | −1.59046 | + | 2.18907i | −0.122706 | + | 0.168891i | ||||
\(169\) | 6.53324 | − | 4.74668i | 0.502557 | − | 0.365129i | ||||
\(170\) | −2.94467 | + | 1.75127i | −0.225846 | + | 0.134316i | ||||
\(171\) | 1.75888 | − | 5.41329i | 0.134505 | − | 0.413964i | ||||
\(172\) | −9.08571 | − | 12.5054i | −0.692779 | − | 0.953529i | ||||
\(173\) | 10.6195 | − | 14.6165i | 0.807386 | − | 1.11127i | −0.184336 | − | 0.982863i | \(-0.559013\pi\) |
0.991721 | − | 0.128408i | \(-0.0409867\pi\) | |||||||
\(174\) | −0.561610 | − | 1.72846i | −0.0425756 | − | 0.131034i | ||||
\(175\) | −11.5065 | + | 1.51120i | −0.869811 | + | 0.114236i | ||||
\(176\) | 10.2643 | + | 5.24068i | 0.773697 | + | 0.395031i | ||||
\(177\) | 6.65971i | 0.500575i | ||||||||
\(178\) | 1.05987 | − | 0.344371i | 0.0794403 | − | 0.0258117i | ||||
\(179\) | −9.68751 | − | 7.03839i | −0.724079 | − | 0.526074i | 0.163606 | − | 0.986526i | \(-0.447687\pi\) |
−0.887685 | + | 0.460452i | \(0.847687\pi\) | |||||||
\(180\) | −4.25549 | − | 0.391695i | −0.317185 | − | 0.0291952i | ||||
\(181\) | 4.88818 | − | 15.0443i | 0.363336 | − | 1.11823i | −0.587681 | − | 0.809093i | \(-0.699959\pi\) |
0.951017 | − | 0.309140i | \(-0.100041\pi\) | |||||||
\(182\) | 3.02060 | + | 0.981452i | 0.223902 | + | 0.0727501i | ||||
\(183\) | −1.07001 | − | 1.47274i | −0.0790973 | − | 0.108868i | ||||
\(184\) | −5.68332 | − | 4.12917i | −0.418980 | − | 0.304407i | ||||
\(185\) | 6.51800 | + | 2.80156i | 0.479213 | + | 0.205975i | ||||
\(186\) | 2.51319 | 0.184276 | ||||||||
\(187\) | −7.75275 | + | 15.1843i | −0.566937 | + | 1.11039i | ||||
\(188\) | − | 17.5585i | − | 1.28059i | ||||||
\(189\) | −0.717249 | − | 2.20747i | −0.0521722 | − | 0.160570i | ||||
\(190\) | −3.70017 | + | 0.836656i | −0.268439 | + | 0.0606974i | ||||
\(191\) | −7.28719 | + | 5.29446i | −0.527283 | + | 0.383093i | −0.819340 | − | 0.573307i | \(-0.805660\pi\) |
0.292058 | + | 0.956401i | \(0.405660\pi\) | |||||||
\(192\) | −5.65499 | − | 1.83742i | −0.408114 | − | 0.132604i | ||||
\(193\) | −3.65139 | − | 1.18641i | −0.262833 | − | 0.0853995i | 0.174636 | − | 0.984633i | \(-0.444125\pi\) |
−0.437469 | + | 0.899234i | \(0.644125\pi\) | |||||||
\(194\) | 1.34796 | − | 0.979352i | 0.0967780 | − | 0.0703133i | ||||
\(195\) | 2.26397 | + | 10.0126i | 0.162127 | + | 0.717017i | ||||
\(196\) | 0.952399 | + | 2.93118i | 0.0680285 | + | 0.209370i | ||||
\(197\) | 8.33739i | 0.594015i | 0.954875 | + | 0.297007i | \(0.0959886\pi\) | ||||
−0.954875 | + | 0.297007i | \(0.904011\pi\) | |||||||
\(198\) | 0.881194 | − | 0.448065i | 0.0626237 | − | 0.0318426i | ||||
\(199\) | −2.22397 | −0.157653 | −0.0788266 | − | 0.996888i | \(-0.525117\pi\) | ||||
−0.0788266 | + | 0.996888i | \(0.525117\pi\) | |||||||
\(200\) | 2.50775 | + | 5.26185i | 0.177325 | + | 0.372069i | ||||
\(201\) | −7.17227 | − | 5.21096i | −0.505893 | − | 0.367553i | ||||
\(202\) | −0.282795 | − | 0.389234i | −0.0198974 | − | 0.0273864i | ||||
\(203\) | 13.4597 | + | 4.37334i | 0.944689 | + | 0.306948i | ||||
\(204\) | 3.03586 | − | 9.34341i | 0.212552 | − | 0.654169i | ||||
\(205\) | 1.04339 | + | 0.0960387i | 0.0728737 | + | 0.00670764i | ||||
\(206\) | 2.05412 | + | 1.49241i | 0.143117 | + | 0.103981i | ||||
\(207\) | 5.73107 | − | 1.86214i | 0.398337 | − | 0.129427i | ||||
\(208\) | 15.9523i | 1.10609i | ||||||||
\(209\) | −13.3597 | + | 13.3375i | −0.924112 | + | 0.922572i | ||||
\(210\) | −1.02017 | + | 1.16292i | −0.0703985 | + | 0.0802488i | ||||
\(211\) | 1.55209 | + | 4.77683i | 0.106850 | + | 0.328850i | 0.990160 | − | 0.139939i | \(-0.0446905\pi\) |
−0.883310 | + | 0.468789i | \(0.844690\pi\) | |||||||
\(212\) | −4.78425 | + | 6.58496i | −0.328584 | + | 0.452257i | ||||
\(213\) | −1.43930 | − | 1.98102i | −0.0986189 | − | 0.135737i | ||||
\(214\) | −0.563146 | + | 1.73318i | −0.0384959 | + | 0.118478i | ||||
\(215\) | −9.24453 | − | 15.5442i | −0.630471 | − | 1.06010i | ||||
\(216\) | −0.943133 | + | 0.685226i | −0.0641721 | + | 0.0466237i | ||||
\(217\) | −11.5033 | + | 15.8329i | −0.780894 | + | 1.07481i | ||||
\(218\) | −1.62505 | + | 0.528011i | −0.110062 | + | 0.0357614i | ||||
\(219\) | 9.08299 | 0.613772 | ||||||||
\(220\) | 11.9794 | + | 7.57506i | 0.807654 | + | 0.510711i | ||||
\(221\) | −23.5989 | −1.58743 | ||||||||
\(222\) | 0.899410 | − | 0.292236i | 0.0603644 | − | 0.0196136i | ||||
\(223\) | 16.6769 | − | 22.9538i | 1.11677 | − | 1.53710i | 0.305720 | − | 0.952122i | \(-0.401103\pi\) |
0.811049 | − | 0.584979i | \(-0.198897\pi\) | |||||||
\(224\) | −6.32302 | + | 4.59394i | −0.422474 | + | 0.306945i | ||||
\(225\) | −4.91599 | − | 0.912714i | −0.327733 | − | 0.0608476i | ||||
\(226\) | 0.758989 | − | 2.33593i | 0.0504872 | − | 0.155384i | ||||
\(227\) | 3.86901 | + | 5.32524i | 0.256795 | + | 0.353448i | 0.917877 | − | 0.396866i | \(-0.129902\pi\) |
−0.661081 | + | 0.750314i | \(0.729902\pi\) | |||||||
\(228\) | 6.39396 | − | 8.80053i | 0.423450 | − | 0.582829i | ||||
\(229\) | 5.10750 | + | 15.7193i | 0.337513 | + | 1.03876i | 0.965471 | + | 0.260511i | \(0.0838909\pi\) |
−0.627958 | + | 0.778247i | \(0.716109\pi\) | |||||||
\(230\) | −3.01919 | − | 2.64859i | −0.199079 | − | 0.174643i | ||||
\(231\) | −1.21059 | + | 7.60232i | −0.0796509 | + | 0.500196i | ||||
\(232\) | − | 7.10817i | − | 0.466674i | ||||||
\(233\) | −22.2218 | + | 7.22032i | −1.45580 | + | 0.473019i | −0.926785 | − | 0.375593i | \(-0.877439\pi\) |
−0.529017 | + | 0.848611i | \(0.677439\pi\) | |||||||
\(234\) | 1.10702 | + | 0.804299i | 0.0723684 | + | 0.0525787i | ||||
\(235\) | 1.88297 | − | 20.4571i | 0.122831 | − | 1.33447i | ||||
\(236\) | −3.93309 | + | 12.1048i | −0.256023 | + | 0.787957i | ||||
\(237\) | −12.2935 | − | 3.99441i | −0.798550 | − | 0.259465i | ||||
\(238\) | −2.09035 | − | 2.87712i | −0.135497 | − | 0.186496i | ||||
\(239\) | 14.3890 | + | 10.4542i | 0.930746 | + | 0.676227i | 0.946175 | − | 0.323654i | \(-0.104911\pi\) |
−0.0154293 | + | 0.999881i | \(0.504911\pi\) | |||||||
\(240\) | −7.13851 | − | 3.06827i | −0.460789 | − | 0.198056i | ||||
\(241\) | −6.95713 | −0.448148 | −0.224074 | − | 0.974572i | \(-0.571936\pi\) | ||||
−0.224074 | + | 0.974572i | \(0.571936\pi\) | |||||||
\(242\) | −3.27870 | − | 0.00546796i | −0.210763 | − | 0.000351494i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −1.07510 | − | 3.30881i | −0.0688260 | − | 0.211825i | ||||
\(245\) | 0.795284 | + | 3.51720i | 0.0508088 | + | 0.224706i | ||||
\(246\) | 0.112996 | − | 0.0820962i | 0.00720435 | − | 0.00523426i | ||||
\(247\) | −24.8514 | − | 8.07470i | −1.58125 | − | 0.513781i | ||||
\(248\) | 9.34839 | + | 3.03748i | 0.593624 | + | 0.192880i | ||||
\(249\) | 6.75328 | − | 4.90655i | 0.427972 | − | 0.310940i | ||||
\(250\) | 1.15195 | + | 3.12702i | 0.0728560 | + | 0.197770i | ||||
\(251\) | −0.196752 | − | 0.605539i | −0.0124188 | − | 0.0382213i | 0.944655 | − | 0.328065i | \(-0.106397\pi\) |
−0.957074 | + | 0.289844i | \(0.906397\pi\) | |||||||
\(252\) | − | 4.43592i | − | 0.279437i | ||||||
\(253\) | −19.7373 | − | 3.14296i | −1.24087 | − | 0.197596i | ||||
\(254\) | 3.60010 | 0.225891 | ||||||||
\(255\) | 4.53901 | − | 10.5603i | 0.284244 | − | 0.661310i | ||||
\(256\) | −7.56952 | − | 5.49958i | −0.473095 | − | 0.343724i | ||||
\(257\) | −0.283345 | − | 0.389991i | −0.0176746 | − | 0.0243270i | 0.800088 | − | 0.599882i | \(-0.204786\pi\) |
−0.817763 | + | 0.575555i | \(0.804786\pi\) | |||||||
\(258\) | −2.29277 | − | 0.744965i | −0.142741 | − | 0.0463795i | ||||
\(259\) | −2.27568 | + | 7.00383i | −0.141404 | + | 0.435197i | ||||
\(260\) | −1.79820 | + | 19.5361i | −0.111520 | + | 1.21158i | ||||
\(261\) | 4.93288 | + | 3.58395i | 0.305338 | + | 0.221841i | ||||
\(262\) | 0.930172 | − | 0.302231i | 0.0574662 | − | 0.0186719i | ||||
\(263\) | 18.2072i | 1.12270i | 0.827578 | + | 0.561351i | \(0.189718\pi\) | ||||
−0.827578 | + | 0.561351i | \(0.810282\pi\) | |||||||
\(264\) | 3.81934 | − | 0.601660i | 0.235064 | − | 0.0370296i | ||||
\(265\) | −6.28022 | + | 7.15896i | −0.385791 | + | 0.439771i | ||||
\(266\) | −1.21684 | − | 3.74506i | −0.0746094 | − | 0.229624i | ||||
\(267\) | −2.19762 | + | 3.02477i | −0.134492 | + | 0.185113i | ||||
\(268\) | −9.95896 | − | 13.7073i | −0.608340 | − | 0.837309i | ||||
\(269\) | −8.05132 | + | 24.7794i | −0.490898 | + | 1.51083i | 0.332356 | + | 0.943154i | \(0.392156\pi\) |
−0.823254 | + | 0.567673i | \(0.807844\pi\) | |||||||
\(270\) | −0.572841 | + | 0.340683i | −0.0348620 | + | 0.0207333i | ||||
\(271\) | −0.238170 | + | 0.173040i | −0.0144678 | + | 0.0105115i | −0.594996 | − | 0.803729i | \(-0.702846\pi\) |
0.580528 | + | 0.814240i | \(0.302846\pi\) | |||||||
\(272\) | 10.4992 | − | 14.4509i | 0.636607 | − | 0.876214i | ||||
\(273\) | −10.1341 | + | 3.29275i | −0.613341 | + | 0.199287i | ||||
\(274\) | 1.19744 | 0.0723402 | ||||||||
\(275\) | 13.1447 | + | 10.1102i | 0.792655 | + | 0.609671i | ||||
\(276\) | 11.5166 | 0.693220 | ||||||||
\(277\) | 28.8068 | − | 9.35990i | 1.73083 | − | 0.562382i | 0.737263 | − | 0.675605i | \(-0.236118\pi\) |
0.993570 | + | 0.113224i | \(0.0361176\pi\) | |||||||
\(278\) | −0.311762 | + | 0.429103i | −0.0186982 | + | 0.0257359i | ||||
\(279\) | −6.82139 | + | 4.95603i | −0.408386 | + | 0.296710i | ||||
\(280\) | −5.20028 | + | 3.09274i | −0.310776 | + | 0.184827i | ||||
\(281\) | −9.18352 | + | 28.2640i | −0.547843 | + | 1.68609i | 0.166290 | + | 0.986077i | \(0.446821\pi\) |
−0.714133 | + | 0.700010i | \(0.753179\pi\) | |||||||
\(282\) | −1.60961 | − | 2.21543i | −0.0958506 | − | 0.131927i | ||||
\(283\) | 0.934506 | − | 1.28624i | 0.0555506 | − | 0.0764589i | −0.780338 | − | 0.625358i | \(-0.784953\pi\) |
0.835889 | + | 0.548899i | \(0.184953\pi\) | |||||||
\(284\) | −1.44614 | − | 4.45076i | −0.0858126 | − | 0.264104i | ||||
\(285\) | 8.39325 | − | 9.56766i | 0.497173 | − | 0.566739i | ||||
\(286\) | −2.05698 | − | 4.04539i | −0.121632 | − | 0.239209i | ||||
\(287\) | 1.08763i | 0.0642009i | ||||||||
\(288\) | −3.20247 | + | 1.04055i | −0.188707 | + | 0.0613148i | ||||
\(289\) | 7.62448 | + | 5.53951i | 0.448499 | + | 0.325854i | ||||
\(290\) | 0.372481 | − | 4.04674i | 0.0218729 | − | 0.237633i | ||||
\(291\) | −1.72740 | + | 5.31638i | −0.101262 | + | 0.311652i | ||||
\(292\) | 16.5094 | + | 5.36424i | 0.966141 | + | 0.313918i | ||||
\(293\) | 0.247489 | + | 0.340640i | 0.0144585 | + | 0.0199004i | 0.816185 | − | 0.577791i | \(-0.196085\pi\) |
−0.801727 | + | 0.597691i | \(0.796085\pi\) | |||||||
\(294\) | 0.388873 | + | 0.282532i | 0.0226795 | + | 0.0164776i | ||||
\(295\) | −5.88049 | + | 13.6813i | −0.342376 | + | 0.796557i | ||||
\(296\) | 3.69876 | 0.214986 | ||||||||
\(297\) | −1.50818 | + | 2.95388i | −0.0875135 | + | 0.171401i | ||||
\(298\) | − | 0.658069i | − | 0.0381209i | ||||||
\(299\) | −8.54872 | − | 26.3102i | −0.494385 | − | 1.52156i | ||||
\(300\) | −8.39636 | − | 4.56225i | −0.484764 | − | 0.263402i | ||||
\(301\) | 15.1876 | − | 11.0344i | 0.875399 | − | 0.636014i | ||||
\(302\) | 3.64369 | + | 1.18391i | 0.209671 | + | 0.0681262i | ||||
\(303\) | 1.53515 | + | 0.498799i | 0.0881918 | + | 0.0286553i | ||||
\(304\) | 16.0010 | − | 11.6254i | 0.917720 | − | 0.666763i | ||||
\(305\) | −0.897741 | − | 3.97033i | −0.0514045 | − | 0.227340i | ||||
\(306\) | −0.473472 | − | 1.45720i | −0.0270666 | − | 0.0833025i | ||||
\(307\) | − | 9.29536i | − | 0.530514i | −0.964178 | − | 0.265257i | \(-0.914543\pi\) | ||
0.964178 | − | 0.265257i | \(-0.0854569\pi\) | |||||||
\(308\) | −6.69017 | + | 13.1032i | −0.381208 | + | 0.746623i | ||||
\(309\) | −8.51841 | −0.484595 | ||||||||
\(310\) | 5.16295 | + | 2.21913i | 0.293236 | + | 0.126038i | ||||
\(311\) | −9.78478 | − | 7.10906i | −0.554844 | − | 0.403118i | 0.274724 | − | 0.961523i | \(-0.411413\pi\) |
−0.829568 | + | 0.558405i | \(0.811413\pi\) | |||||||
\(312\) | 3.14574 | + | 4.32974i | 0.178093 | + | 0.245123i | ||||
\(313\) | 6.63461 | + | 2.15572i | 0.375010 | + | 0.121848i | 0.490457 | − | 0.871465i | \(-0.336830\pi\) |
−0.115447 | + | 0.993314i | \(0.536830\pi\) | |||||||
\(314\) | −0.0773374 | + | 0.238020i | −0.00436440 | + | 0.0134322i | ||||
\(315\) | 0.475707 | − | 5.16822i | 0.0268030 | − | 0.291196i | ||||
\(316\) | −19.9859 | − | 14.5206i | −1.12430 | − | 0.816849i | ||||
\(317\) | −6.88514 | + | 2.23712i | −0.386708 | + | 0.125649i | −0.495917 | − | 0.868370i | \(-0.665168\pi\) |
0.109209 | + | 0.994019i | \(0.465168\pi\) | |||||||
\(318\) | 1.26943i | 0.0711861i | ||||||||
\(319\) | −9.16589 | − | 18.0262i | −0.513191 | − | 1.00927i | ||||
\(320\) | −9.99486 | − | 8.76802i | −0.558730 | − | 0.490147i | ||||
\(321\) | −1.88934 | − | 5.81480i | −0.105453 | − | 0.324551i | ||||
\(322\) | 2.45045 | − | 3.37275i | 0.136558 | − | 0.187956i | ||||
\(323\) | 17.1979 | + | 23.6709i | 0.956918 | + | 1.31708i | ||||
\(324\) | 0.590580 | − | 1.81762i | 0.0328100 | − | 0.100979i | ||||
\(325\) | −4.19010 | + | 22.5684i | −0.232425 | + | 1.25187i | ||||
\(326\) | 2.67372 | − | 1.94257i | 0.148083 | − | 0.107589i | ||||
\(327\) | 3.36953 | − | 4.63776i | 0.186335 | − | 0.256469i | ||||
\(328\) | 0.519537 | − | 0.168808i | 0.0286866 | − | 0.00932084i | ||||
\(329\) | 21.3245 | 1.17566 | ||||||||
\(330\) | 2.20591 | − | 0.142390i | 0.121431 | − | 0.00783830i | ||||
\(331\) | 27.6629 | 1.52049 | 0.760244 | − | 0.649637i | \(-0.225079\pi\) | ||||
0.760244 | + | 0.649637i | \(0.225079\pi\) | |||||||
\(332\) | 15.1726 | − | 4.92988i | 0.832705 | − | 0.270562i | ||||
\(333\) | −1.86492 | + | 2.56684i | −0.102197 | + | 0.140662i | ||||
\(334\) | 1.07663 | − | 0.782218i | 0.0589106 | − | 0.0428011i | ||||
\(335\) | −10.1330 | − | 17.0382i | −0.553627 | − | 0.930894i | ||||
\(336\) | 2.49233 | − | 7.67059i | 0.135967 | − | 0.418465i | ||||
\(337\) | 12.9418 | + | 17.8128i | 0.704983 | + | 0.970325i | 0.999890 | + | 0.0147997i | \(0.00471105\pi\) |
−0.294908 | + | 0.955526i | \(0.595289\pi\) | |||||||
\(338\) | 1.41481 | − | 1.94733i | 0.0769558 | − | 0.105921i | ||||
\(339\) | 2.54640 | + | 7.83700i | 0.138301 | + | 0.425647i | ||||
\(340\) | 14.4869 | − | 16.5139i | 0.785661 | − | 0.895592i | ||||
\(341\) | 27.6241 | − | 4.35163i | 1.49593 | − | 0.235654i | ||||
\(342\) | − | 1.69654i | − | 0.0917385i | ||||||
\(343\) | −19.0121 | + | 6.17741i | −1.02656 | + | 0.333549i | ||||
\(344\) | −7.62811 | − | 5.54214i | −0.411280 | − | 0.298812i | ||||
\(345\) | 13.4178 | + | 1.23504i | 0.722392 | + | 0.0664923i | ||||
\(346\) | 1.66409 | − | 5.12155i | 0.0894622 | − | 0.275336i | ||||
\(347\) | −25.4571 | − | 8.27152i | −1.36661 | − | 0.444038i | −0.468365 | − | 0.883535i | \(-0.655157\pi\) |
−0.898244 | + | 0.439496i | \(0.855157\pi\) | |||||||
\(348\) | 6.84949 | + | 9.42751i | 0.367171 | + | 0.505368i | ||||
\(349\) | −17.5081 | − | 12.7204i | −0.937189 | − | 0.680908i | 0.0105533 | − | 0.999944i | \(-0.496641\pi\) |
−0.947742 | + | 0.319037i | \(0.896641\pi\) | |||||||
\(350\) | −3.12263 | + | 1.48822i | −0.166912 | + | 0.0795487i | ||||
\(351\) | −4.59081 | −0.245039 | ||||||||
\(352\) | 11.0290 | + | 1.75626i | 0.587850 | + | 0.0936088i | ||||
\(353\) | − | 31.5144i | − | 1.67734i | −0.544636 | − | 0.838672i | \(-0.683332\pi\) | ||
0.544636 | − | 0.838672i | \(-0.316668\pi\) | |||||||
\(354\) | 0.613405 | + | 1.88787i | 0.0326021 | + | 0.100339i | ||||
\(355\) | −1.20757 | − | 5.34058i | −0.0640913 | − | 0.283449i | ||||
\(356\) | −5.78081 | + | 4.20001i | −0.306383 | + | 0.222600i | ||||
\(357\) | 11.3474 | + | 3.68699i | 0.600568 | + | 0.195136i | ||||
\(358\) | −3.39446 | − | 1.10293i | −0.179403 | − | 0.0582915i | ||||
\(359\) | −3.60899 | + | 2.62208i | −0.190475 | + | 0.138388i | −0.678936 | − | 0.734198i | \(-0.737559\pi\) |
0.488461 | + | 0.872586i | \(0.337559\pi\) | |||||||
\(360\) | −2.54257 | + | 0.574907i | −0.134005 | + | 0.0303002i | ||||
\(361\) | 4.14001 | + | 12.7416i | 0.217895 | + | 0.670612i | ||||
\(362\) | − | 4.71493i | − | 0.247811i | ||||||
\(363\) | 8.90996 | − | 6.45079i | 0.467651 | − | 0.338579i | ||||
\(364\) | −20.3645 | −1.06739 | ||||||||
\(365\) | 18.6596 | + | 8.02024i | 0.976686 | + | 0.419798i | ||||
\(366\) | −0.438971 | − | 0.318931i | −0.0229454 | − | 0.0166708i | ||||
\(367\) | 0.607183 | + | 0.835716i | 0.0316947 | + | 0.0436240i | 0.824570 | − | 0.565760i | \(-0.191417\pi\) |
−0.792876 | + | 0.609384i | \(0.791417\pi\) | |||||||
\(368\) | 19.9145 | + | 6.47063i | 1.03812 | + | 0.337305i | ||||
\(369\) | −0.144803 | + | 0.445657i | −0.00753813 | + | 0.0232000i | ||||
\(370\) | 2.10574 | + | 0.193822i | 0.109472 | + | 0.0100763i | ||||
\(371\) | −7.99732 | − | 5.81039i | −0.415200 | − | 0.301660i | ||||
\(372\) | −15.3256 | + | 4.97960i | −0.794597 | + | 0.258180i | ||||
\(373\) | 32.6921i | 1.69273i | 0.532600 | + | 0.846367i | \(0.321215\pi\) | ||||
−0.532600 | + | 0.846367i | \(0.678785\pi\) | |||||||
\(374\) | −0.799137 | + | 5.01847i | −0.0413224 | + | 0.259499i | ||||
\(375\) | −9.29320 | − | 6.21582i | −0.479899 | − | 0.320984i | ||||
\(376\) | −3.30970 | − | 10.1862i | −0.170685 | − | 0.525313i | ||||
\(377\) | 16.4532 | − | 22.6459i | 0.847384 | − | 1.16632i | ||||
\(378\) | −0.406646 | − | 0.559700i | −0.0209156 | − | 0.0287879i | ||||
\(379\) | 1.32345 | − | 4.07318i | 0.0679813 | − | 0.209225i | −0.911295 | − | 0.411754i | \(-0.864916\pi\) |
0.979276 | + | 0.202529i | \(0.0649162\pi\) | |||||||
\(380\) | 20.9062 | − | 12.4335i | 1.07247 | − | 0.637823i | ||||
\(381\) | −9.77153 | + | 7.09944i | −0.500611 | + | 0.363715i | ||||
\(382\) | −1.57809 | + | 2.17205i | −0.0807420 | + | 0.111132i | ||||
\(383\) | −25.6198 | + | 8.32438i | −1.30911 | + | 0.425356i | −0.878742 | − | 0.477297i | \(-0.841617\pi\) |
−0.430369 | + | 0.902653i | \(0.641617\pi\) | |||||||
\(384\) | −8.50685 | −0.434113 | ||||||||
\(385\) | −9.19978 | + | 14.5488i | −0.468864 | + | 0.741477i | ||||
\(386\) | −1.14436 | −0.0582462 | ||||||||
\(387\) | 7.69219 | − | 2.49935i | 0.391016 | − | 0.127049i | ||||
\(388\) | −6.27950 | + | 8.64299i | −0.318793 | + | 0.438782i | ||||
\(389\) | 29.6936 | − | 21.5736i | 1.50552 | − | 1.09383i | 0.537408 | − | 0.843322i | \(-0.319403\pi\) |
0.968115 | − | 0.250505i | \(-0.0805965\pi\) | |||||||
\(390\) | 1.56401 | + | 2.62980i | 0.0791968 | + | 0.133165i | ||||
\(391\) | −9.57225 | + | 29.4604i | −0.484089 | + | 1.48987i | ||||
\(392\) | 1.10503 | + | 1.52094i | 0.0558124 | + | 0.0768192i | ||||
\(393\) | −1.92871 | + | 2.65464i | −0.0972903 | + | 0.133909i | ||||
\(394\) | 0.767931 | + | 2.36345i | 0.0386878 | + | 0.119069i | ||||
\(395\) | −21.7281 | − | 19.0610i | −1.09326 | − | 0.959063i | ||||
\(396\) | −4.48580 | + | 4.47832i | −0.225420 | + | 0.225044i | ||||
\(397\) | − | 7.52289i | − | 0.377563i | −0.982019 | − | 0.188782i | \(-0.939546\pi\) | ||
0.982019 | − | 0.188782i | \(-0.0604538\pi\) | |||||||
\(398\) | −0.630443 | + | 0.204843i | −0.0316012 | + | 0.0102679i | ||||
\(399\) | 10.6881 | + | 7.76535i | 0.535074 | + | 0.388754i | ||||
\(400\) | −11.9557 | − | 12.6065i | −0.597783 | − | 0.630327i | ||||
\(401\) | 4.75870 | − | 14.6458i | 0.237638 | − | 0.731375i | −0.759122 | − | 0.650948i | \(-0.774372\pi\) |
0.996761 | − | 0.0804269i | \(-0.0256284\pi\) | |||||||
\(402\) | −2.51313 | − | 0.816565i | −0.125344 | − | 0.0407266i | ||||
\(403\) | 22.7522 | + | 31.3157i | 1.13337 | + | 1.55995i | ||||
\(404\) | 2.49573 | + | 1.81325i | 0.124167 | + | 0.0902127i | ||||
\(405\) | 0.882995 | − | 2.05434i | 0.0438764 | − | 0.102081i | ||||
\(406\) | 4.21833 | 0.209352 | ||||||||
\(407\) | 9.38000 | − | 4.76950i | 0.464949 | − | 0.236415i | ||||
\(408\) | − | 5.99263i | − | 0.296679i | ||||||
\(409\) | −5.03340 | − | 15.4912i | −0.248886 | − | 0.765992i | −0.994973 | − | 0.100143i | \(-0.968070\pi\) |
0.746087 | − | 0.665848i | \(-0.231930\pi\) | |||||||
\(410\) | 0.304622 | − | 0.0688790i | 0.0150442 | − | 0.00340169i | ||||
\(411\) | −3.25014 | + | 2.36137i | −0.160318 | + | 0.116478i | ||||
\(412\) | −15.4832 | − | 5.03080i | −0.762804 | − | 0.247850i | ||||
\(413\) | −14.7011 | − | 4.77667i | −0.723393 | − | 0.235045i | ||||
\(414\) | 1.45310 | − | 1.05574i | 0.0714162 | − | 0.0518869i | ||||
\(415\) | 18.2060 | − | 4.11661i | 0.893697 | − | 0.202076i | ||||
\(416\) | 4.77695 | + | 14.7019i | 0.234209 | + | 0.720822i | ||||
\(417\) | − | 1.77948i | − | 0.0871417i | ||||||
\(418\) | −2.55869 | + | 5.01138i | −0.125150 | + | 0.245114i | ||||
\(419\) | 11.3868 | 0.556281 | 0.278140 | − | 0.960540i | \(-0.410282\pi\) | ||||
0.278140 | + | 0.960540i | \(0.410282\pi\) | |||||||
\(420\) | 3.91690 | − | 9.11290i | 0.191125 | − | 0.444664i | ||||
\(421\) | 8.96175 | + | 6.51109i | 0.436769 | + | 0.317331i | 0.784350 | − | 0.620319i | \(-0.212997\pi\) |
−0.347581 | + | 0.937650i | \(0.612997\pi\) | |||||||
\(422\) | 0.879958 | + | 1.21116i | 0.0428357 | + | 0.0589582i | ||||
\(423\) | 8.73770 | + | 2.83905i | 0.424842 | + | 0.138039i | ||||
\(424\) | −1.53425 | + | 4.72194i | −0.0745098 | + | 0.229318i | ||||
\(425\) | 18.6493 | − | 17.6865i | 0.904626 | − | 0.857921i | ||||
\(426\) | −0.590471 | − | 0.429002i | −0.0286084 | − | 0.0207852i | ||||
\(427\) | 4.01849 | − | 1.30569i | 0.194468 | − | 0.0631866i | ||||
\(428\) | − | 11.6849i | − | 0.564811i | ||||||
\(429\) | 13.5607 | + | 6.92377i | 0.654716 | + | 0.334283i | ||||
\(430\) | −4.05233 | − | 3.55492i | −0.195421 | − | 0.171433i | ||||
\(431\) | −9.40890 | − | 28.9576i | −0.453211 | − | 1.39484i | −0.873223 | − | 0.487321i | \(-0.837974\pi\) |
0.420012 | − | 0.907519i | \(-0.362026\pi\) | |||||||
\(432\) | 2.04246 | − | 2.81120i | 0.0982679 | − | 0.135254i | ||||
\(433\) | 8.87831 | + | 12.2200i | 0.426665 | + | 0.587253i | 0.967184 | − | 0.254078i | \(-0.0817721\pi\) |
−0.540519 | + | 0.841332i | \(0.681772\pi\) | |||||||
\(434\) | −1.80258 | + | 5.54778i | −0.0865268 | + | 0.266302i | ||||
\(435\) | 6.96921 | + | 11.7184i | 0.334148 | + | 0.561852i | ||||
\(436\) | 8.86349 | − | 6.43970i | 0.424484 | − | 0.308406i | ||||
\(437\) | −20.1606 | + | 27.7486i | −0.964411 | + | 1.32740i | ||||
\(438\) | 2.57481 | − | 0.836606i | 0.123029 | − | 0.0399746i | ||||
\(439\) | −23.6799 | −1.13018 | −0.565090 | − | 0.825030i | \(-0.691158\pi\) | ||||
−0.565090 | + | 0.825030i | \(0.691158\pi\) | |||||||
\(440\) | 8.37750 | + | 2.13645i | 0.399382 | + | 0.101851i | ||||
\(441\) | −1.61265 | −0.0767928 | ||||||||
\(442\) | −6.68972 | + | 2.17362i | −0.318197 | + | 0.103389i | ||||
\(443\) | −18.0930 | + | 24.9029i | −0.859626 | + | 1.18317i | 0.122033 | + | 0.992526i | \(0.461059\pi\) |
−0.981659 | + | 0.190648i | \(0.938941\pi\) | |||||||
\(444\) | −4.90564 | + | 3.56416i | −0.232811 | + | 0.169147i | ||||
\(445\) | −7.18553 | + | 4.27342i | −0.340627 | + | 0.202580i | ||||
\(446\) | 2.61330 | − | 8.04291i | 0.123743 | − | 0.380843i | ||||
\(447\) | 1.29772 | + | 1.78616i | 0.0613800 | + | 0.0844823i | ||||
\(448\) | 8.11208 | − | 11.1653i | 0.383260 | − | 0.527512i | ||||
\(449\) | 1.42411 | + | 4.38295i | 0.0672078 | + | 0.206844i | 0.979020 | − | 0.203762i | \(-0.0653170\pi\) |
−0.911813 | + | 0.410607i | \(0.865317\pi\) | |||||||
\(450\) | −1.47763 | + | 0.194064i | −0.0696562 | + | 0.00914827i | ||||
\(451\) | 1.09986 | − | 1.09803i | 0.0517904 | − | 0.0517041i | ||||
\(452\) | 15.7485i | 0.740749i | ||||||||
\(453\) | −12.2245 | + | 3.97199i | −0.574358 | + | 0.186620i | ||||
\(454\) | 1.58726 | + | 1.15321i | 0.0744939 | + | 0.0541230i | ||||
\(455\) | −23.7263 | − | 2.18388i | −1.11231 | − | 0.102382i | ||||
\(456\) | 2.05046 | − | 6.31068i | 0.0960218 | − | 0.295525i | ||||
\(457\) | −27.7976 | − | 9.03198i | −1.30032 | − | 0.422498i | −0.424624 | − | 0.905370i | \(-0.639594\pi\) |
−0.875691 | + | 0.482872i | \(0.839594\pi\) | |||||||
\(458\) | 2.89570 | + | 3.98560i | 0.135307 | + | 0.186235i | ||||
\(459\) | 4.15872 | + | 3.02149i | 0.194113 | + | 0.141031i | ||||
\(460\) | 23.6591 | + | 10.1691i | 1.10311 | + | 0.474138i | ||||
\(461\) | 5.76367 | 0.268441 | 0.134220 | − | 0.990951i | \(-0.457147\pi\) | ||||
0.134220 | + | 0.990951i | \(0.457147\pi\) | |||||||
\(462\) | 0.357054 | + | 2.26658i | 0.0166116 | + | 0.105451i | ||||
\(463\) | − | 21.9028i | − | 1.01791i | −0.860794 | − | 0.508954i | \(-0.830032\pi\) | ||
0.860794 | − | 0.508954i | \(-0.169968\pi\) | |||||||
\(464\) | 6.54726 | + | 20.1504i | 0.303949 | + | 0.935459i | ||||
\(465\) | −18.3896 | + | 4.15813i | −0.852798 | + | 0.192828i | ||||
\(466\) | −5.63432 | + | 4.09357i | −0.261005 | + | 0.189631i | ||||
\(467\) | −13.9193 | − | 4.52264i | −0.644106 | − | 0.209283i | −0.0312926 | − | 0.999510i | \(-0.509962\pi\) |
−0.612814 | + | 0.790227i | \(0.709962\pi\) | |||||||
\(468\) | −8.34434 | − | 2.71124i | −0.385717 | − | 0.125327i | ||||
\(469\) | 16.6473 | − | 12.0950i | 0.768701 | − | 0.558494i | ||||
\(470\) | −1.35046 | − | 5.97253i | −0.0622922 | − | 0.275492i | ||||
\(471\) | −0.259466 | − | 0.798553i | −0.0119555 | − | 0.0367954i | ||||
\(472\) | 7.76373i | 0.357355i | ||||||||
\(473\) | −26.4913 | − | 4.21845i | −1.21807 | − | 0.193965i | ||||
\(474\) | −3.85283 | −0.176966 | ||||||||
\(475\) | 25.6908 | − | 12.2440i | 1.17877 | − | 0.561795i | ||||
\(476\) | 18.4478 | + | 13.4031i | 0.845553 | + | 0.614330i | ||||
\(477\) | −2.50333 | − | 3.44553i | −0.114619 | − | 0.157760i | ||||
\(478\) | 5.04184 | + | 1.63819i | 0.230608 | + | 0.0749292i | ||||
\(479\) | −8.91924 | + | 27.4506i | −0.407530 | + | 1.25425i | 0.511234 | + | 0.859442i | \(0.329189\pi\) |
−0.918764 | + | 0.394807i | \(0.870811\pi\) | |||||||
\(480\) | −7.49777 | − | 0.690130i | −0.342225 | − | 0.0315000i | ||||
\(481\) | 11.7839 | + | 8.56149i | 0.537299 | + | 0.390370i | ||||
\(482\) | −1.97218 | + | 0.640800i | −0.0898303 | + | 0.0291876i | ||||
\(483\) | 13.9868i | 0.636419i | ||||||||
\(484\) | 20.0046 | − | 6.46303i | 0.909301 | − | 0.293774i | ||||
\(485\) | −8.24301 | + | 9.39639i | −0.374296 | + | 0.426668i | ||||
\(486\) | −0.0921069 | − | 0.283476i | −0.00417805 | − | 0.0128587i | ||||
\(487\) | 13.0246 | − | 17.9268i | 0.590200 | − | 0.812341i | −0.404567 | − | 0.914508i | \(-0.632578\pi\) |
0.994767 | + | 0.102167i | \(0.0325777\pi\) | |||||||
\(488\) | −1.24739 | − | 1.71689i | −0.0564667 | − | 0.0777198i | ||||
\(489\) | −3.42634 | + | 10.5452i | −0.154944 | + | 0.476870i | ||||
\(490\) | 0.549402 | + | 0.923791i | 0.0248195 | + | 0.0417326i | ||||
\(491\) | 13.0437 | − | 9.47680i | 0.588654 | − | 0.427682i | −0.253180 | − | 0.967419i | \(-0.581476\pi\) |
0.841833 | + | 0.539737i | \(0.181476\pi\) | |||||||
\(492\) | −0.526393 | + | 0.724517i | −0.0237316 | + | 0.0326638i | ||||
\(493\) | −29.8093 | + | 9.68562i | −1.34254 | + | 0.436219i | ||||
\(494\) | −7.78850 | −0.350421 | ||||||||
\(495\) | −5.70658 | + | 4.73656i | −0.256492 | + | 0.212892i | ||||
\(496\) | −29.2988 | −1.31556 | ||||||||
\(497\) | 5.40537 | − | 1.75631i | 0.242464 | − | 0.0787813i | ||||
\(498\) | 1.46247 | − | 2.01291i | 0.0655347 | − | 0.0902007i | ||||
\(499\) | −24.9683 | + | 18.1406i | −1.11774 | + | 0.812083i | −0.983864 | − | 0.178916i | \(-0.942741\pi\) |
−0.133872 | + | 0.990999i | \(0.542741\pi\) | |||||||
\(500\) | −13.2206 | − | 16.7864i | −0.591241 | − | 0.750710i | ||||
\(501\) | −1.37969 | + | 4.24625i | −0.0616400 | + | 0.189709i | ||||
\(502\) | −0.111549 | − | 0.153534i | −0.00497866 | − | 0.00685254i | ||||
\(503\) | 4.95604 | − | 6.82141i | 0.220979 | − | 0.304152i | −0.684106 | − | 0.729383i | \(-0.739807\pi\) |
0.905085 | + | 0.425231i | \(0.139807\pi\) | |||||||
\(504\) | −0.836152 | − | 2.57341i | −0.0372452 | − | 0.114629i | ||||
\(505\) | 2.71328 | + | 2.38023i | 0.120739 | + | 0.105919i | ||||
\(506\) | −5.88454 | + | 0.926990i | −0.261600 | + | 0.0412097i | ||||
\(507\) | 8.07553i | 0.358647i | ||||||||
\(508\) | −21.9537 | + | 7.13319i | −0.974039 | + | 0.316484i | ||||
\(509\) | −23.8592 | − | 17.3347i | −1.05754 | − | 0.768349i | −0.0839094 | − | 0.996473i | \(-0.526741\pi\) |
−0.973632 | + | 0.228125i | \(0.926741\pi\) | |||||||
\(510\) | 0.314025 | − | 3.41166i | 0.0139053 | − | 0.151071i | ||||
\(511\) | −6.51477 | + | 20.0504i | −0.288196 | + | 0.886977i | ||||
\(512\) | −18.8333 | − | 6.11931i | −0.832323 | − | 0.270438i | ||||
\(513\) | 3.34560 | + | 4.60482i | 0.147712 | + | 0.203308i | ||||
\(514\) | −0.116242 | − | 0.0844550i | −0.00512723 | − | 0.00372515i | ||||
\(515\) | −17.4997 | − | 7.52171i | −0.771130 | − | 0.331446i | ||||
\(516\) | 15.4575 | 0.680480 | ||||||||
\(517\) | −21.5283 | − | 21.5642i | −0.946814 | − | 0.948394i | ||||
\(518\) | 2.19502i | 0.0964437i | ||||||||
\(519\) | 5.58300 | + | 17.1827i | 0.245067 | + | 0.754238i | ||||
\(520\) | 2.63929 | + | 11.6724i | 0.115740 | + | 0.511871i | ||||
\(521\) | 7.77559 | − | 5.64930i | 0.340655 | − | 0.247500i | −0.404283 | − | 0.914634i | \(-0.632479\pi\) |
0.744938 | + | 0.667134i | \(0.232479\pi\) | |||||||
\(522\) | 1.72846 | + | 0.561610i | 0.0756526 | + | 0.0245810i | ||||
\(523\) | 3.94423 | + | 1.28156i | 0.172469 | + | 0.0560387i | 0.393979 | − | 0.919120i | \(-0.371098\pi\) |
−0.221509 | + | 0.975158i | \(0.571098\pi\) | |||||||
\(524\) | −5.07343 | + | 3.68606i | −0.221634 | + | 0.161026i | ||||
\(525\) | 5.54077 | − | 10.1972i | 0.241819 | − | 0.445044i | ||||
\(526\) | 1.67701 | + | 5.16129i | 0.0731209 | + | 0.225043i | ||||
\(527\) | − | 43.3429i | − | 1.88805i | ||||||
\(528\) | −10.2730 | + | 5.22356i | −0.447074 | + | 0.227326i | ||||
\(529\) | −13.3127 | −0.578813 | ||||||||
\(530\) | −1.12090 | + | 2.60784i | −0.0486888 | + | 0.113277i | ||||
\(531\) | −5.38782 | − | 3.91448i | −0.233811 | − | 0.169874i | ||||
\(532\) | 14.8408 | + | 20.4266i | 0.643431 | + | 0.885606i | ||||
\(533\) | 2.04593 | + | 0.664762i | 0.0886189 | + | 0.0287940i | ||||
\(534\) | −0.344371 | + | 1.05987i | −0.0149024 | + | 0.0458649i | ||||
\(535\) | 1.25309 | − | 13.6139i | 0.0541756 | − | 0.588579i | ||||
\(536\) | −8.36126 | − | 6.07481i | −0.361151 | − | 0.262392i | ||||
\(537\) | 11.3884 | − | 3.70030i | 0.491444 | − | 0.159680i | ||||
\(538\) | 7.76595i | 0.334814i | ||||||||
\(539\) | 4.76357 | + | 2.43216i | 0.205181 | + | 0.104761i | ||||
\(540\) | 2.81820 | − | 3.21253i | 0.121276 | − | 0.138245i | ||||
\(541\) | 9.65751 | + | 29.7228i | 0.415209 | + | 1.27788i | 0.912064 | + | 0.410048i | \(0.134488\pi\) |
−0.496855 | + | 0.867833i | \(0.665512\pi\) | |||||||
\(542\) | −0.0515772 | + | 0.0709899i | −0.00221543 | + | 0.00304928i | ||||
\(543\) | 9.29788 | + | 12.7974i | 0.399010 | + | 0.549190i | ||||
\(544\) | 5.34889 | − | 16.4622i | 0.229332 | − | 0.705811i | ||||
\(545\) | 11.0173 | − | 6.55226i | 0.471929 | − | 0.280668i | ||||
\(546\) | −2.56947 | + | 1.86683i | −0.109963 | + | 0.0798931i | ||||
\(547\) | −5.30558 | + | 7.30250i | −0.226850 | + | 0.312232i | −0.907236 | − | 0.420621i | \(-0.861812\pi\) |
0.680386 | + | 0.732854i | \(0.261812\pi\) | |||||||
\(548\) | −7.30210 | + | 2.37260i | −0.311930 | + | 0.101352i | ||||
\(549\) | 1.82041 | 0.0776931 | ||||||||
\(550\) | 4.65743 | + | 1.65529i | 0.198593 | + | 0.0705819i | ||||
\(551\) | −34.7054 | −1.47850 | ||||||||
\(552\) | 6.68114 | − | 2.17083i | 0.284368 | − | 0.0923969i | ||||
\(553\) | 17.6350 | − | 24.2725i | 0.749918 | − | 1.03217i | ||||
\(554\) | 7.30392 | − | 5.30661i | 0.310314 | − | 0.225456i | ||||
\(555\) | −6.09769 | + | 3.62645i | −0.258833 | + | 0.153934i | ||||
\(556\) | 1.05093 | − | 3.23442i | 0.0445693 | − | 0.137170i | ||||
\(557\) | 4.23520 | + | 5.82925i | 0.179451 | + | 0.246993i | 0.889261 | − | 0.457400i | \(-0.151219\pi\) |
−0.709810 | + | 0.704393i | \(0.751219\pi\) | |||||||
\(558\) | −1.47722 | + | 2.03321i | −0.0625355 | + | 0.0860728i | ||||
\(559\) | −11.4740 | − | 35.3134i | −0.485299 | − | 1.49360i | ||||
\(560\) | 11.8932 | − | 13.5573i | 0.502579 | − | 0.572900i | ||||
\(561\) | −7.72741 | − | 15.1972i | −0.326252 | − | 0.641627i | ||||
\(562\) | 8.85802i | 0.373653i | ||||||||
\(563\) | 25.1185 | − | 8.16149i | 1.05862 | − | 0.343966i | 0.272573 | − | 0.962135i | \(-0.412125\pi\) |
0.786045 | + | 0.618169i | \(0.212125\pi\) | |||||||
\(564\) | 14.2051 | + | 10.3206i | 0.598144 | + | 0.434577i | ||||
\(565\) | −1.68887 | + | 18.3483i | −0.0710512 | + | 0.771920i | ||||
\(566\) | 0.146439 | − | 0.450692i | 0.00615528 | − | 0.0189440i | ||||
\(567\) | 2.20747 | + | 0.717249i | 0.0927048 | + | 0.0301216i | ||||
\(568\) | −1.67790 | − | 2.30943i | −0.0704030 | − | 0.0969014i | ||||
\(569\) | 35.0343 | + | 25.4539i | 1.46871 | + | 1.06708i | 0.980984 | + | 0.194088i | \(0.0621748\pi\) |
0.487730 | + | 0.872995i | \(0.337825\pi\) | |||||||
\(570\) | 1.49804 | − | 3.48528i | 0.0627459 | − | 0.145982i | ||||
\(571\) | −1.82495 | −0.0763718 | −0.0381859 | − | 0.999271i | \(-0.512158\pi\) | ||||
−0.0381859 | + | 0.999271i | \(0.512158\pi\) | |||||||
\(572\) | 20.5591 | + | 20.5934i | 0.859620 | + | 0.861055i | ||||
\(573\) | − | 9.00747i | − | 0.376292i | ||||||
\(574\) | 0.100178 | + | 0.308318i | 0.00418137 | + | 0.0128689i | ||||
\(575\) | 26.4743 | + | 14.3851i | 1.10405 | + | 0.599899i | ||||
\(576\) | 4.81043 | − | 3.49498i | 0.200434 | − | 0.145624i | ||||
\(577\) | 24.7392 | + | 8.03825i | 1.02991 | + | 0.334637i | 0.774753 | − | 0.632264i | \(-0.217874\pi\) |
0.255153 | + | 0.966901i | \(0.417874\pi\) | |||||||
\(578\) | 2.67158 | + | 0.868050i | 0.111123 | + | 0.0361061i | ||||
\(579\) | 3.10606 | − | 2.25668i | 0.129083 | − | 0.0937845i | ||||
\(580\) | 5.74674 | + | 25.4154i | 0.238620 | + | 1.05532i | ||||
\(581\) | 5.98725 | + | 18.4269i | 0.248393 | + | 0.764475i | ||||
\(582\) | 1.66617i | 0.0690651i | ||||||||
\(583\) | 2.19804 | + | 13.9532i | 0.0910334 | + | 0.577881i | ||||
\(584\) | 10.5887 | 0.438165 | ||||||||
\(585\) | −9.43109 | − | 4.05366i | −0.389928 | − | 0.167598i | ||||
\(586\) | 0.101532 | + | 0.0737677i | 0.00419427 | + | 0.00304731i | ||||
\(587\) | −2.35319 | − | 3.23889i | −0.0971267 | − | 0.133683i | 0.757688 | − | 0.652617i | \(-0.226329\pi\) |
−0.854814 | + | 0.518934i | \(0.826329\pi\) | |||||||
\(588\) | −2.93118 | − | 0.952399i | −0.120880 | − | 0.0392763i | ||||
\(589\) | 14.8304 | − | 45.6432i | 0.611076 | − | 1.88070i | ||||
\(590\) | −0.406834 | + | 4.41996i | −0.0167491 | + | 0.181967i | ||||
\(591\) | −6.74509 | − | 4.90060i | −0.277456 | − | 0.201584i | ||||
\(592\) | −10.4853 | + | 3.40689i | −0.430945 | + | 0.140022i | ||||
\(593\) | 32.2116i | 1.32277i | 0.750045 | + | 0.661386i | \(0.230032\pi\) | ||||
−0.750045 | + | 0.661386i | \(0.769968\pi\) | |||||||
\(594\) | −0.155460 | + | 0.976267i | −0.00637861 | + | 0.0400567i | ||||
\(595\) | 20.0558 | + | 17.5940i | 0.822209 | + | 0.721285i | ||||
\(596\) | 1.30389 | + | 4.01296i | 0.0534094 | + | 0.164377i | ||||
\(597\) | 1.30722 | − | 1.79923i | 0.0535009 | − | 0.0736377i | ||||
\(598\) | −4.84671 | − | 6.67092i | −0.198197 | − | 0.272794i | ||||
\(599\) | 4.17691 | − | 12.8552i | 0.170664 | − | 0.525250i | −0.828745 | − | 0.559627i | \(-0.810945\pi\) |
0.999409 | + | 0.0343766i | \(0.0109446\pi\) | |||||||
\(600\) | −5.73094 | − | 1.06402i | −0.233965 | − | 0.0434385i | ||||
\(601\) | −22.2420 | + | 16.1598i | −0.907270 | + | 0.659170i | −0.940323 | − | 0.340284i | \(-0.889477\pi\) |
0.0330532 | + | 0.999454i | \(0.489477\pi\) | |||||||
\(602\) | 3.28897 | − | 4.52688i | 0.134048 | − | 0.184502i | ||||
\(603\) | 8.43150 | − | 2.73956i | 0.343357 | − | 0.111564i | ||||
\(604\) | −24.5653 | −0.999548 | ||||||||
\(605\) | 24.0001 | − | 5.38467i | 0.975743 | − | 0.218918i | ||||
\(606\) | 0.481120 | 0.0195442 | ||||||||
\(607\) | 35.7706 | − | 11.6226i | 1.45188 | − | 0.471745i | 0.526303 | − | 0.850297i | \(-0.323578\pi\) |
0.925580 | + | 0.378552i | \(0.123578\pi\) | |||||||
\(608\) | 11.2655 | − | 15.5057i | 0.456878 | − | 0.628839i | ||||
\(609\) | −11.4495 | + | 8.31858i | −0.463959 | + | 0.337086i | ||||
\(610\) | −0.620182 | − | 1.04280i | −0.0251104 | − | 0.0422219i | ||||
\(611\) | 13.0335 | − | 40.1131i | 0.527281 | − | 1.62280i | ||||
\(612\) | 5.77454 | + | 7.94798i | 0.233422 | + | 0.321278i | ||||
\(613\) | 17.0946 | − | 23.5287i | 0.690445 | − | 0.950316i | −0.309555 | − | 0.950882i | \(-0.600180\pi\) |
1.00000 | 0.000565226i | \(0.000179917\pi\) | ||||||||
\(614\) | −0.856167 | − | 2.63501i | −0.0345521 | − | 0.106340i | ||||
\(615\) | −0.690988 | + | 0.787672i | −0.0278633 | + | 0.0317620i | ||||
\(616\) | −1.41128 | + | 8.86261i | −0.0568619 | + | 0.357085i | ||||
\(617\) | 9.61911i | 0.387251i | 0.981076 | + | 0.193625i | \(0.0620246\pi\) | ||||
−0.981076 | + | 0.193625i | \(0.937975\pi\) | |||||||
\(618\) | −2.41476 | + | 0.784604i | −0.0971361 | + | 0.0315614i | ||||
\(619\) | −18.9370 | − | 13.7585i | −0.761143 | − | 0.553003i | 0.138118 | − | 0.990416i | \(-0.455895\pi\) |
−0.899261 | + | 0.437413i | \(0.855895\pi\) | |||||||
\(620\) | −35.8810 | − | 3.30266i | −1.44102 | − | 0.132638i | ||||
\(621\) | −1.86214 | + | 5.73107i | −0.0747250 | + | 0.229980i | ||||
\(622\) | −3.42854 | − | 1.11400i | −0.137472 | − | 0.0446674i | ||||
\(623\) | −5.10083 | − | 7.02069i | −0.204361 | − | 0.281278i | ||||
\(624\) | −12.9057 | − | 9.37654i | −0.516642 | − | 0.375362i | ||||
\(625\) | −13.6029 | − | 20.9753i | −0.544115 | − | 0.839011i | ||||
\(626\) | 2.07931 | 0.0831059 | ||||||||
\(627\) | −2.93759 | − | 18.6478i | −0.117316 | − | 0.744722i | ||||
\(628\) | − | 1.60470i | − | 0.0640345i | ||||||
\(629\) | −5.03995 | − | 15.5114i | −0.200956 | − | 0.618479i | ||||
\(630\) | −0.341177 | − | 1.50888i | −0.0135928 | − | 0.0601152i | ||||
\(631\) | 18.3295 | − | 13.3172i | 0.729686 | − | 0.530148i | −0.159778 | − | 0.987153i | \(-0.551078\pi\) |
0.889464 | + | 0.457005i | \(0.151078\pi\) | |||||||
\(632\) | −14.3315 | − | 4.65659i | −0.570076 | − | 0.185229i | ||||
\(633\) | −4.77683 | − | 1.55209i | −0.189862 | − | 0.0616899i | ||||
\(634\) | −1.74572 | + | 1.26834i | −0.0693313 | + | 0.0503721i | ||||
\(635\) | −26.3428 | + | 5.95645i | −1.04538 | + | 0.236374i | ||||
\(636\) | −2.51523 | − | 7.74109i | −0.0997354 | − | 0.306954i | ||||
\(637\) | 7.40336i | 0.293332i | ||||||||
\(638\) | −4.25865 | − | 4.26575i | −0.168601 | − | 0.168883i | ||||
\(639\) | 2.44868 | 0.0968681 | ||||||||
\(640\) | −17.4760 | − | 7.51151i | −0.690799 | − | 0.296918i | ||||
\(641\) | −18.6047 | − | 13.5171i | −0.734841 | − | 0.533893i | 0.156250 | − | 0.987717i | \(-0.450059\pi\) |
−0.891091 | + | 0.453825i | \(0.850059\pi\) | |||||||
\(642\) | −1.07117 | − | 1.47434i | −0.0422756 | − | 0.0581874i | ||||
\(643\) | 11.0446 | + | 3.58860i | 0.435555 | + | 0.141520i | 0.518584 | − | 0.855027i | \(-0.326459\pi\) |
−0.0830288 | + | 0.996547i | \(0.526459\pi\) | |||||||
\(644\) | −8.26030 | + | 25.4226i | −0.325501 | + | 1.00179i | ||||
\(645\) | 18.0093 | + | 1.65766i | 0.709116 | + | 0.0652703i | ||||
\(646\) | 7.05545 | + | 5.12608i | 0.277593 | + | 0.201683i | ||||
\(647\) | 34.4009 | − | 11.1775i | 1.35244 | − | 0.439434i | 0.458928 | − | 0.888473i | \(-0.348234\pi\) |
0.893512 | + | 0.449039i | \(0.148234\pi\) | |||||||
\(648\) | − | 1.16578i | − | 0.0457960i | ||||||
\(649\) | 10.0112 | + | 19.6887i | 0.392975 | + | 0.772849i | ||||
\(650\) | 0.890911 | + | 6.78353i | 0.0349444 | + | 0.266072i | ||||
\(651\) | −6.04763 | − | 18.6127i | −0.237025 | − | 0.729489i | ||||
\(652\) | −12.4556 | + | 17.1436i | −0.487797 | + | 0.671395i | ||||
\(653\) | −5.08606 | − | 7.00036i | −0.199033 | − | 0.273945i | 0.697821 | − | 0.716272i | \(-0.254153\pi\) |
−0.896854 | + | 0.442327i | \(0.854153\pi\) | |||||||
\(654\) | 0.528011 | − | 1.62505i | 0.0206469 | − | 0.0635445i | ||||
\(655\) | −6.30625 | + | 3.75049i | −0.246406 | + | 0.146544i | ||||
\(656\) | −1.31731 | + | 0.957079i | −0.0514322 | + | 0.0373677i | ||||
\(657\) | −5.33885 | + | 7.34830i | −0.208288 | + | 0.286684i | ||||
\(658\) | 6.04498 | − | 1.96413i | 0.235658 | − | 0.0765698i | ||||
\(659\) | 17.4599 | 0.680143 | 0.340071 | − | 0.940400i | \(-0.389549\pi\) | ||||
0.340071 | + | 0.940400i | \(0.389549\pi\) | |||||||
\(660\) | −13.1697 | + | 5.23907i | −0.512630 | + | 0.203930i | ||||
\(661\) | 16.2393 | 0.631636 | 0.315818 | − | 0.948820i | \(-0.397721\pi\) | ||||
0.315818 | + | 0.948820i | \(0.397721\pi\) | |||||||
\(662\) | 7.84176 | − | 2.54794i | 0.304779 | − | 0.0990286i | ||||
\(663\) | 13.8711 | − | 19.0919i | 0.538708 | − | 0.741468i | ||||
\(664\) | 7.87281 | − | 5.71993i | 0.305524 | − | 0.221976i | ||||
\(665\) | 15.1002 | + | 25.3902i | 0.585561 | + | 0.984590i | ||||
\(666\) | −0.292236 | + | 0.899410i | −0.0113239 | + | 0.0348514i | ||||
\(667\) | −21.5969 | − | 29.7255i | −0.836234 | − | 1.15098i | ||||
\(668\) | −5.01550 | + | 6.90325i | −0.194056 | + | 0.267095i | ||||
\(669\) | 8.76757 | + | 26.9838i | 0.338974 | + | 1.04325i | ||||
\(670\) | −4.44180 | − | 3.89659i | −0.171602 | − | 0.150538i | ||||
\(671\) | −5.37726 | − | 2.74550i | −0.207587 | − | 0.105989i | ||||
\(672\) | − | 7.81568i | − | 0.301496i | ||||||
\(673\) | −25.1453 | + | 8.17022i | −0.969282 | + | 0.314939i | −0.750526 | − | 0.660841i | \(-0.770200\pi\) |
−0.218756 | + | 0.975780i | \(0.570200\pi\) | |||||||
\(674\) | 5.30936 | + | 3.85748i | 0.204509 | + | 0.148584i | ||||
\(675\) | 3.62795 | − | 3.44064i | 0.139640 | − | 0.132430i | ||||
\(676\) | −4.76925 | + | 14.6782i | −0.183433 | + | 0.564548i | ||||
\(677\) | 29.8203 | + | 9.68921i | 1.14609 | + | 0.372387i | 0.819668 | − | 0.572838i | \(-0.194158\pi\) |
0.326420 | + | 0.945225i | \(0.394158\pi\) | |||||||
\(678\) | 1.44368 | + | 1.98706i | 0.0554443 | + | 0.0763126i | ||||
\(679\) | −10.4968 | − | 7.62634i | −0.402829 | − | 0.292672i | ||||
\(680\) | 5.29146 | − | 12.3109i | 0.202918 | − | 0.472102i | ||||
\(681\) | −6.58235 | −0.252236 | ||||||||
\(682\) | 7.42997 | − | 3.77796i | 0.284508 | − | 0.144665i | ||||
\(683\) | − | 3.85934i | − | 0.147674i | −0.997270 | − | 0.0738368i | \(-0.976476\pi\) | ||
0.997270 | − | 0.0738368i | \(-0.0235244\pi\) | |||||||
\(684\) | 3.36150 | + | 10.3456i | 0.128530 | + | 0.395576i | ||||
\(685\) | −8.76198 | + | 1.98119i | −0.334778 | + | 0.0756976i | ||||
\(686\) | −4.82050 | + | 3.50230i | −0.184047 | + | 0.133718i | ||||
\(687\) | −15.7193 | − | 5.10750i | −0.599727 | − | 0.194863i | ||||
\(688\) | 26.7291 | + | 8.68482i | 1.01904 | + | 0.331106i | ||||
\(689\) | −15.8178 | + | 11.4923i | −0.602610 | + | 0.437822i | ||||
\(690\) | 3.91739 | − | 0.885771i | 0.149132 | − | 0.0337207i | ||||
\(691\) | −6.82056 | − | 20.9915i | −0.259466 | − | 0.798555i | −0.992917 | − | 0.118812i | \(-0.962091\pi\) |
0.733450 | − | 0.679743i | \(-0.237909\pi\) | |||||||
\(692\) | 34.5288i | 1.31259i | ||||||||
\(693\) | −5.43884 | − | 5.44792i | −0.206605 | − | 0.206949i | ||||
\(694\) | −7.97835 | −0.302854 | ||||||||
\(695\) | 1.57128 | − | 3.65567i | 0.0596019 | − | 0.138667i | ||||
\(696\) | 5.75063 | + | 4.17808i | 0.217977 | + | 0.158370i | ||||
\(697\) | −1.41584 | − | 1.94874i | −0.0536289 | − | 0.0738139i | ||||
\(698\) | −6.13477 | − | 1.99331i | −0.232205 | − | 0.0754478i | ||||
\(699\) | 7.22032 | − | 22.2218i | 0.273097 | − | 0.840507i | ||||
\(700\) | 16.0933 | − | 15.2624i | 0.608270 | − | 0.576865i | ||||
\(701\) | −27.8329 | − | 20.2218i | −1.05123 | − | 0.763767i | −0.0787880 | − | 0.996891i | \(-0.525105\pi\) |
−0.972447 | + | 0.233125i | \(0.925105\pi\) | |||||||
\(702\) | −1.30138 | + | 0.422845i | −0.0491176 | + | 0.0159593i | ||||
\(703\) | − | 18.0591i | − | 0.681112i | ||||||
\(704\) | −19.4805 | + | 3.06875i | −0.734198 | + | 0.115658i | ||||
\(705\) | 15.4434 | + | 13.5477i | 0.581630 | + | 0.510237i | ||||
\(706\) | −2.90270 | − | 8.93359i | −0.109244 | − | 0.336220i | ||||
\(707\) | −2.20216 | + | 3.03102i | −0.0828209 | + | 0.113993i | ||||
\(708\) | −7.48119 | − | 10.2970i | −0.281160 | − | 0.386984i | ||||
\(709\) | 7.78530 | − | 23.9607i | 0.292383 | − | 0.899863i | −0.691705 | − | 0.722180i | \(-0.743140\pi\) |
0.984088 | − | 0.177682i | \(-0.0568600\pi\) | |||||||
\(710\) | −0.834222 | − | 1.40270i | −0.0313078 | − | 0.0526424i | ||||
\(711\) | 10.4575 | − | 7.59782i | 0.392187 | − | 0.284940i | ||||
\(712\) | −2.56194 | + | 3.52621i | −0.0960127 | + | 0.132150i | ||||
\(713\) | 48.3227 | − | 15.7010i | 1.80970 | − | 0.588007i | ||||
\(714\) | 3.55631 | 0.133092 | ||||||||
\(715\) | 21.7446 | + | 26.1978i | 0.813203 | + | 0.979742i | ||||
\(716\) | 22.8850 | 0.855253 | ||||||||
\(717\) | −16.9153 | + | 5.49610i | −0.631712 | + | 0.205256i | ||||
\(718\) | −0.781549 | + | 1.07571i | −0.0291671 | + | 0.0401451i | ||||
\(719\) | −14.1392 | + | 10.2727i | −0.527304 | + | 0.383109i | −0.819348 | − | 0.573296i | \(-0.805665\pi\) |
0.292044 | + | 0.956405i | \(0.405665\pi\) | |||||||
\(720\) | 6.67819 | − | 3.97169i | 0.248881 | − | 0.148016i | ||||
\(721\) | 6.10982 | − | 18.8041i | 0.227542 | − | 0.700301i | ||||
\(722\) | 2.34719 | + | 3.23062i | 0.0873532 | + | 0.120231i | ||||
\(723\) | 4.08930 | − | 5.62843i | 0.152083 | − | 0.209324i | ||||
\(724\) | 9.34209 | + | 28.7520i | 0.347196 | + | 1.06856i | ||||
\(725\) | 3.96989 | + | 30.2273i | 0.147438 | + | 1.12261i | ||||
\(726\) | 1.93160 | − | 2.64931i | 0.0716883 | − | 0.0983252i | ||||
\(727\) | − | 3.60045i | − | 0.133533i | −0.997769 | − | 0.0667666i | \(-0.978732\pi\) | ||
0.997769 | − | 0.0667666i | \(-0.0212683\pi\) | |||||||
\(728\) | −11.8140 | + | 3.83861i | −0.437857 | + | 0.142268i | ||||
\(729\) | 0.809017 | + | 0.587785i | 0.0299636 | + | 0.0217698i | ||||
\(730\) | 6.02826 | + | 0.554869i | 0.223116 | + | 0.0205366i | ||||
\(731\) | −12.8478 | + | 39.5415i | −0.475193 | + | 1.46249i | ||||
\(732\) | 3.30881 | + | 1.07510i | 0.122297 | + | 0.0397367i | ||||
\(733\) | −12.8631 | − | 17.7046i | −0.475110 | − | 0.653932i | 0.502446 | − | 0.864608i | \(-0.332434\pi\) |
−0.977556 | + | 0.210676i | \(0.932434\pi\) | |||||||
\(734\) | 0.249097 | + | 0.180980i | 0.00919434 | + | 0.00668008i | ||||
\(735\) | −3.31293 | − | 1.42396i | −0.122199 | − | 0.0525236i | ||||
\(736\) | 20.2912 | 0.747944 | ||||||||
\(737\) | −29.0374 | − | 4.62389i | −1.06961 | − | 0.170323i | ||||
\(738\) | 0.139670i | 0.00514134i | ||||||||
\(739\) | 1.77627 | + | 5.46681i | 0.0653413 | + | 0.201100i | 0.978397 | − | 0.206735i | \(-0.0662838\pi\) |
−0.913056 | + | 0.407835i | \(0.866284\pi\) | |||||||
\(740\) | −13.2250 | + | 2.99034i | −0.486160 | + | 0.109927i | ||||
\(741\) | 21.1398 | − | 15.3590i | 0.776591 | − | 0.564227i | ||||
\(742\) | −2.80222 | − | 0.910498i | −0.102873 | − | 0.0334254i | ||||
\(743\) | 17.1203 | + | 5.56273i | 0.628084 | + | 0.204077i | 0.605726 | − | 0.795673i | \(-0.292883\pi\) |
0.0223576 | + | 0.999750i | \(0.492883\pi\) | |||||||
\(744\) | −7.95222 | + | 5.77762i | −0.291542 | + | 0.211818i | ||||
\(745\) | 1.08879 | + | 4.81525i | 0.0398902 | + | 0.176417i | ||||
\(746\) | 3.01117 | + | 9.26743i | 0.110247 | + | 0.339305i | ||||
\(747\) | 8.34751i | 0.305420i | ||||||||
\(748\) | −5.07032 | − | 32.1864i | −0.185389 | − | 1.17685i | ||||
\(749\) | 14.1911 | 0.518532 | ||||||||
\(750\) | −3.20692 | − | 0.906068i | −0.117100 | − | 0.0330849i | ||||
\(751\) | 15.3848 | + | 11.1777i | 0.561400 | + | 0.407881i | 0.831971 | − | 0.554819i | \(-0.187213\pi\) |
−0.270571 | + | 0.962700i | \(0.587213\pi\) | |||||||
\(752\) | 18.7648 | + | 25.8275i | 0.684282 | + | 0.941834i | ||||
\(753\) | 0.605539 | + | 0.196752i | 0.0220671 | + | 0.00717002i | ||||
\(754\) | 2.57825 | − | 7.93502i | 0.0938942 | − | 0.288977i | ||||
\(755\) | −28.6206 | − | 2.63437i | −1.04161 | − | 0.0958747i | ||||
\(756\) | 3.58874 | + | 2.60737i | 0.130521 | + | 0.0948292i | ||||
\(757\) | 2.27835 | − | 0.740280i | 0.0828079 | − | 0.0269059i | −0.267320 | − | 0.963608i | \(-0.586138\pi\) |
0.350128 | + | 0.936702i | \(0.386138\pi\) | |||||||
\(758\) | − | 1.27655i | − | 0.0463663i | ||||||
\(759\) | 14.1440 | − | 14.1204i | 0.513395 | − | 0.512539i | ||||
\(760\) | 9.78466 | − | 11.1537i | 0.354927 | − | 0.404589i | ||||
\(761\) | 14.0321 | + | 43.1864i | 0.508664 | + | 1.56551i | 0.794523 | + | 0.607234i | \(0.207721\pi\) |
−0.285860 | + | 0.958272i | \(0.592279\pi\) | |||||||
\(762\) | −2.11609 | + | 2.91254i | −0.0766578 | + | 0.105510i | ||||
\(763\) | 7.82090 | + | 10.7646i | 0.283136 | + | 0.389703i | ||||
\(764\) | 5.31963 | − | 16.3721i | 0.192458 | − | 0.592323i | ||||
\(765\) | 5.87548 | + | 9.87930i | 0.212428 | + | 0.357187i | ||||
\(766\) | −6.49587 | + | 4.71953i | −0.234705 | + | 0.170523i | ||||
\(767\) | −17.9706 | + | 24.7345i | −0.648882 | + | 0.893109i | ||||
\(768\) | 8.89850 | − | 2.89130i | 0.321097 | − | 0.104331i | ||||
\(769\) | 49.1931 | 1.77395 | 0.886975 | − | 0.461818i | \(-0.152803\pi\) | ||||
0.886975 | + | 0.461818i | \(0.152803\pi\) | |||||||
\(770\) | −1.26787 | + | 4.97161i | −0.0456908 | + | 0.179164i | ||||
\(771\) | 0.482055 | 0.0173608 | ||||||||
\(772\) | 6.97838 | − | 2.26741i | 0.251157 | − | 0.0816059i | ||||
\(773\) | 12.4780 | − | 17.1745i | 0.448803 | − | 0.617724i | −0.523337 | − | 0.852126i | \(-0.675313\pi\) |
0.972140 | + | 0.234402i | \(0.0753132\pi\) | |||||||
\(774\) | 1.95034 | − | 1.41701i | 0.0701037 | − | 0.0509333i | ||||
\(775\) | −41.4502 | − | 7.69574i | −1.48893 | − | 0.276439i | ||||
\(776\) | −2.01376 | + | 6.19771i | −0.0722898 | + | 0.222485i | ||||
\(777\) | −4.32860 | − | 5.95781i | −0.155288 | − | 0.213735i | ||||
\(778\) | 6.43033 | − | 8.85059i | 0.230538 | − | 0.317309i | ||||
\(779\) | −0.824198 | − | 2.53662i | −0.0295300 | − | 0.0908839i | ||||
\(780\) | −14.7481 | − | 12.9378i | −0.528067 | − | 0.463249i | ||||
\(781\) | −7.23309 | − | 3.69304i | −0.258820 | − | 0.132147i | ||||
\(782\) | 9.23297i | 0.330170i | ||||||||
\(783\) | −5.79895 | + | 1.88419i | −0.207237 | + | 0.0673355i | ||||
\(784\) | −4.53349 | − | 3.29377i | −0.161910 | − | 0.117635i | ||||
\(785\) | 0.172087 | − | 1.86961i | 0.00614206 | − | 0.0667291i | ||||
\(786\) | −0.302231 | + | 0.930172i | −0.0107802 | + | 0.0331781i | ||||
\(787\) | −7.84951 | − | 2.55046i | −0.279805 | − | 0.0909141i | 0.165753 | − | 0.986167i | \(-0.446995\pi\) |
−0.445558 | + | 0.895253i | \(0.646995\pi\) | |||||||
\(788\) | −9.36581 | − | 12.8909i | −0.333643 | − | 0.459221i | ||||
\(789\) | −14.7299 | − | 10.7019i | −0.524398 | − | 0.380998i | ||||
\(790\) | −7.91503 | − | 3.40203i | −0.281604 | − | 0.121039i | ||||
\(791\) | −19.1263 | −0.680053 | ||||||||
\(792\) | −1.75820 | + | 3.44356i | −0.0624749 | + | 0.122362i | ||||
\(793\) | − | 8.35714i | − | 0.296771i | ||||||
\(794\) | −0.692910 | − | 2.13256i | −0.0245905 | − | 0.0756817i | ||||
\(795\) | −2.10030 | − | 9.28873i | −0.0744899 | − | 0.329437i | ||||
\(796\) | 3.43862 | − | 2.49830i | 0.121879 | − | 0.0885499i | ||||
\(797\) | −5.99002 | − | 1.94627i | −0.212177 | − | 0.0689406i | 0.201000 | − | 0.979591i | \(-0.435581\pi\) |
−0.413177 | + | 0.910651i | \(0.635581\pi\) | |||||||
\(798\) | 3.74506 | + | 1.21684i | 0.132574 | + | 0.0430758i | ||||
\(799\) | −38.2077 | + | 27.7595i | −1.35169 | + | 0.982061i | ||||
\(800\) | −14.7936 | − | 8.03825i | −0.523033 | − | 0.284195i | ||||
\(801\) | −1.15536 | − | 3.55583i | −0.0408226 | − | 0.125639i | ||||
\(802\) | − | 4.59003i | − | 0.162080i | ||||||
\(803\) | 26.8529 | − | 13.6540i | 0.947617 | − | 0.481840i | ||||
\(804\) | 16.9432 | 0.597540 | ||||||||
\(805\) | −12.3502 | + | 28.7336i | −0.435289 | + | 1.01273i | ||||
\(806\) | 9.33409 | + | 6.78162i | 0.328779 | + | 0.238872i | ||||
\(807\) | −15.3145 | − | 21.0786i | −0.539097 | − | 0.742003i | ||||
\(808\) | 1.78964 | + | 0.581488i | 0.0629592 | + | 0.0204567i | ||||
\(809\) | −16.8675 | + | 51.9127i | −0.593029 | + | 1.82515i | −0.0287239 | + | 0.999587i | \(0.509144\pi\) |
−0.564305 | + | 0.825567i | \(0.690856\pi\) | |||||||
\(810\) | 0.0610888 | − | 0.663686i | 0.00214644 | − | 0.0233196i | ||||
\(811\) | 8.91273 | + | 6.47547i | 0.312968 | + | 0.227385i | 0.733169 | − | 0.680046i | \(-0.238040\pi\) |
−0.420201 | + | 0.907431i | \(0.638040\pi\) | |||||||
\(812\) | −25.7237 | + | 8.35813i | −0.902725 | + | 0.293313i | ||||
\(813\) | − | 0.294394i | − | 0.0103248i | ||||||
\(814\) | 2.21970 | − | 2.21600i | 0.0778005 | − | 0.0776708i | ||||
\(815\) | −16.3502 | + | 18.6380i | −0.572723 | + | 0.652860i | ||||
\(816\) | 5.51975 | + | 16.9880i | 0.193230 | + | 0.594701i | ||||
\(817\) | −27.0593 | + | 37.2440i | −0.946687 | + | 1.30300i | ||||
\(818\) | −2.85370 | − | 3.92778i | −0.0997772 | − | 0.137332i | ||||
\(819\) | 3.29275 | − | 10.1341i | 0.115058 | − | 0.354113i | ||||
\(820\) | −1.72114 | + | 1.02360i | −0.0601047 | + | 0.0357458i | ||||
\(821\) | −33.7463 | + | 24.5181i | −1.17775 | + | 0.855689i | −0.991917 | − | 0.126892i | \(-0.959500\pi\) |
−0.185838 | + | 0.982580i | \(0.559500\pi\) | |||||||
\(822\) | −0.703839 | + | 0.968752i | −0.0245492 | + | 0.0337891i | ||||
\(823\) | −2.85953 | + | 0.929117i | −0.0996769 | + | 0.0323870i | −0.358431 | − | 0.933556i | \(-0.616688\pi\) |
0.258754 | + | 0.965943i | \(0.416688\pi\) | |||||||
\(824\) | −9.93056 | −0.345947 | ||||||||
\(825\) | −15.9056 | + | 4.69163i | −0.553762 | + | 0.163342i | ||||
\(826\) | −4.60737 | −0.160311 | ||||||||
\(827\) | −42.6193 | + | 13.8478i | −1.48202 | + | 0.481537i | −0.934715 | − | 0.355398i | \(-0.884345\pi\) |
−0.547303 | + | 0.836935i | \(0.684345\pi\) | |||||||
\(828\) | −6.76931 | + | 9.31716i | −0.235250 | + | 0.323794i | ||||
\(829\) | −31.3024 | + | 22.7425i | −1.08718 | + | 0.789879i | −0.978920 | − | 0.204244i | \(-0.934526\pi\) |
−0.108256 | + | 0.994123i | \(0.534526\pi\) | |||||||
\(830\) | 4.78180 | − | 2.84386i | 0.165979 | − | 0.0987117i | ||||
\(831\) | −9.35990 | + | 28.8068i | −0.324691 | + | 0.999297i | ||||
\(832\) | −16.0448 | − | 22.0837i | −0.556253 | − | 0.765616i | ||||
\(833\) | 4.87260 | − | 6.70656i | 0.168826 | − | 0.232369i | ||||
\(834\) | −0.163903 | − | 0.504441i | −0.00567549 | − | 0.0174674i | ||||
\(835\) | −6.58378 | + | 7.50499i | −0.227841 | + | 0.259721i | ||||
\(836\) | 5.67362 | − | 35.6295i | 0.196226 | − | 1.23227i | ||||
\(837\) | − | 8.43171i | − | 0.291442i | ||||||
\(838\) | 3.22788 | − | 1.04880i | 0.111505 | − | 0.0362303i | ||||
\(839\) | −17.2208 | − | 12.5117i | −0.594530 | − | 0.431951i | 0.249403 | − | 0.968400i | \(-0.419766\pi\) |
−0.843933 | + | 0.536449i | \(0.819766\pi\) | |||||||
\(840\) | 0.554568 | − | 6.02498i | 0.0191344 | − | 0.207882i | ||||
\(841\) | 2.52713 | − | 7.77771i | 0.0871424 | − | 0.268197i | ||||
\(842\) | 3.14016 | + | 1.02030i | 0.108217 | + | 0.0351618i | ||||
\(843\) | −17.4681 | − | 24.0428i | −0.601633 | − | 0.828077i | ||||
\(844\) | −7.76582 | − | 5.64220i | −0.267311 | − | 0.194213i | ||||
\(845\) | −7.13065 | + | 16.5899i | −0.245302 | + | 0.570710i | ||||
\(846\) | 2.73842 | 0.0941490 | ||||||||
\(847\) | 7.84923 | + | 24.2952i | 0.269703 | + | 0.834795i | ||||
\(848\) | − | 14.7990i | − | 0.508201i | ||||||
\(849\) | 0.491299 | + | 1.51206i | 0.0168613 | + | 0.0518939i | ||||
\(850\) | 3.65759 | − | 6.73143i | 0.125454 | − | 0.230886i | ||||
\(851\) | 15.4678 | − | 11.2380i | 0.530229 | − | 0.385234i | ||||
\(852\) | 4.45076 | + | 1.44614i | 0.152480 | + | 0.0495439i | ||||
\(853\) | −22.7440 | − | 7.38997i | −0.778740 | − | 0.253028i | −0.107438 | − | 0.994212i | \(-0.534265\pi\) |
−0.671302 | + | 0.741184i | \(0.734265\pi\) | |||||||
\(854\) | 1.01888 | − | 0.740261i | 0.0348654 | − | 0.0253312i | ||||
\(855\) | 2.80696 | + | 12.4140i | 0.0959962 | + | 0.424550i | ||||
\(856\) | −2.20255 | − | 6.77876i | −0.0752817 | − | 0.231693i | ||||
\(857\) | − | 23.7057i | − | 0.809773i | −0.914367 | − | 0.404886i | \(-0.867311\pi\) | ||
0.914367 | − | 0.404886i | \(-0.132689\pi\) | |||||||
\(858\) | 4.48186 | + | 0.713688i | 0.153008 | + | 0.0243649i | ||||
\(859\) | 29.2131 | 0.996739 | 0.498369 | − | 0.866965i | \(-0.333932\pi\) | ||||
0.498369 | + | 0.866965i | \(0.333932\pi\) | |||||||
\(860\) | 31.7551 | + | 13.6489i | 1.08284 | + | 0.465425i | ||||
\(861\) | −0.879913 | − | 0.639294i | −0.0299874 | − | 0.0217871i | ||||
\(862\) | −5.33439 | − | 7.34216i | −0.181690 | − | 0.250075i | ||||
\(863\) | 35.4580 | + | 11.5210i | 1.20700 | + | 0.392180i | 0.842333 | − | 0.538957i | \(-0.181181\pi\) |
0.364671 | + | 0.931136i | \(0.381181\pi\) | |||||||
\(864\) | 1.04055 | − | 3.20247i | 0.0354001 | − | 0.108950i | ||||
\(865\) | −3.70286 | + | 40.2289i | −0.125901 | + | 1.36782i | ||||
\(866\) | 3.64233 | + | 2.64631i | 0.123771 | + | 0.0899252i | ||||
\(867\) | −8.96312 | + | 2.91229i | −0.304403 | + | 0.0989067i | ||||
\(868\) | − | 37.4024i | − | 1.26952i | ||||||
\(869\) | −42.3490 | + | 6.67123i | −1.43659 | + | 0.226306i | ||||
\(870\) | 3.05495 | + | 2.67996i | 0.103572 | + | 0.0908592i | ||||
\(871\) | −12.5768 | − | 38.7074i | −0.426149 | − | 1.31155i | ||||
\(872\) | 3.92812 | − | 5.40659i | 0.133023 | − | 0.183090i | ||||
\(873\) | −3.28571 | − | 4.52239i | −0.111204 | − | 0.153060i | ||||
\(874\) | −3.15919 | + | 9.72300i | −0.106861 | + | 0.328885i | ||||
\(875\) | 20.3868 | − | 16.0561i | 0.689198 | − | 0.542796i | ||||
\(876\) | −14.0438 | + | 10.2034i | −0.474494 | + | 0.344740i | ||||
\(877\) | 15.6986 | − | 21.6072i | 0.530103 | − | 0.729624i | −0.457043 | − | 0.889444i | \(-0.651092\pi\) |
0.987146 | + | 0.159821i | \(0.0510915\pi\) | |||||||
\(878\) | −6.71268 | + | 2.18108i | −0.226542 | + | 0.0736079i | ||||
\(879\) | −0.421054 | −0.0142018 | ||||||||
\(880\) | −25.7166 | + | 1.65998i | −0.866906 | + | 0.0559580i | ||||
\(881\) | 51.3146 | 1.72883 | 0.864417 | − | 0.502775i | \(-0.167688\pi\) | ||||
0.864417 | + | 0.502775i | \(0.167688\pi\) | |||||||
\(882\) | −0.457147 | + | 0.148536i | −0.0153929 | + | 0.00500147i | ||||
\(883\) | −32.2812 | + | 44.4312i | −1.08635 | + | 1.49523i | −0.234012 | + | 0.972234i | \(0.575185\pi\) |
−0.852336 | + | 0.522995i | \(0.824815\pi\) | |||||||
\(884\) | 36.4876 | − | 26.5098i | 1.22721 | − | 0.891622i | ||||
\(885\) | −7.61196 | − | 12.7991i | −0.255873 | − | 0.430237i | ||||
\(886\) | −2.83521 | + | 8.72587i | −0.0952507 | + | 0.293151i | ||||
\(887\) | −2.98155 | − | 4.10375i | −0.100111 | − | 0.137790i | 0.756023 | − | 0.654545i | \(-0.227140\pi\) |
−0.856133 | + | 0.516755i | \(0.827140\pi\) | |||||||
\(888\) | −2.17408 | + | 2.99236i | −0.0729573 | + | 0.100417i | ||||
\(889\) | −8.66314 | − | 26.6624i | −0.290552 | − | 0.894228i | ||||
\(890\) | −1.64331 | + | 1.87325i | −0.0550840 | + | 0.0627914i | ||||
\(891\) | −1.50325 | − | 2.95639i | −0.0503608 | − | 0.0990428i | ||||
\(892\) | 54.2242i | 1.81556i | ||||||||
\(893\) | −49.7338 | + | 16.1595i | −1.66428 | + | 0.540757i | ||||
\(894\) | 0.532389 | + | 0.386803i | 0.0178058 | + | 0.0129366i | ||||
\(895\) | 26.6629 | + | 2.45418i | 0.891243 | + | 0.0820342i | ||||
\(896\) | 6.10153 | − | 18.7786i | 0.203838 | − | 0.627348i | ||||
\(897\) | 26.3102 | + | 8.54872i | 0.878473 | + | 0.285433i | ||||
\(898\) | 0.807400 | + | 1.11129i | 0.0269433 | + | 0.0370843i | ||||
\(899\) | 41.5926 | + | 30.2188i | 1.38719 | + | 1.00785i | ||||
\(900\) | 8.62620 | − | 4.11118i | 0.287540 | − | 0.137039i | ||||
\(901\) | 21.8928 | 0.729355 | ||||||||
\(902\) | 0.210648 | − | 0.412569i | 0.00701381 | − | 0.0137371i | ||||
\(903\) | 18.7729i | 0.624723i | ||||||||
\(904\) | 2.96853 | + | 9.13619i | 0.0987318 | + | 0.303865i | ||||
\(905\) | 7.80095 | + | 34.5003i | 0.259312 | + | 1.14683i | ||||
\(906\) | −3.09951 | + | 2.25193i | −0.102974 | + | 0.0748152i | ||||
\(907\) | 22.6661 | + | 7.36465i | 0.752615 | + | 0.244539i | 0.660106 | − | 0.751173i | \(-0.270511\pi\) |
0.0925087 | + | 0.995712i | \(0.470511\pi\) | |||||||
\(908\) | −11.9642 | − | 3.88741i | −0.397046 | − | 0.129008i | ||||
\(909\) | −1.30587 | + | 0.948772i | −0.0433131 | + | 0.0314688i | ||||
\(910\) | −6.92698 | + | 1.56628i | −0.229627 | + | 0.0519216i | ||||
\(911\) | 4.92602 | + | 15.1607i | 0.163206 | + | 0.502298i | 0.998900 | − | 0.0468988i | \(-0.0149338\pi\) |
−0.835693 | + | 0.549197i | \(0.814934\pi\) | |||||||
\(912\) | 19.7783i | 0.654926i | ||||||||
\(913\) | 12.5896 | − | 24.6575i | 0.416653 | − | 0.816045i | ||||
\(914\) | −8.71185 | −0.288162 | ||||||||
\(915\) | 3.73974 | + | 1.60741i | 0.123632 | + | 0.0531394i | ||||
\(916\) | −25.5552 | − | 18.5670i | −0.844369 | − | 0.613470i | ||||
\(917\) | −4.47665 | − | 6.16159i | −0.147832 | − | 0.203473i | ||||
\(918\) | 1.45720 | + | 0.473472i | 0.0480947 | + | 0.0156269i | ||||
\(919\) | 10.8050 | − | 33.2543i | 0.356423 | − | 1.09696i | −0.598756 | − | 0.800931i | \(-0.704338\pi\) |
0.955180 | − | 0.296027i | \(-0.0956618\pi\) | |||||||
\(920\) | 15.6422 | + | 1.43978i | 0.515708 | + | 0.0474682i | ||||
\(921\) | 7.52011 | + | 5.46368i | 0.247796 | + | 0.180034i | ||||
\(922\) | 1.63386 | − | 0.530874i | 0.0538084 | − | 0.0174834i | ||||
\(923\) | − | 11.2414i | − | 0.370015i | ||||||
\(924\) | −6.66831 | − | 13.1143i | −0.219371 | − | 0.431429i | ||||
\(925\) | −15.7289 | + | 2.06574i | −0.517162 | + | 0.0679213i | ||||
\(926\) | −2.01740 | − | 6.20891i | −0.0662958 | − | 0.204037i | ||||
\(927\) | 5.00700 | − | 6.89154i | 0.164451 | − | 0.226348i | ||||
\(928\) | 12.0681 | + | 16.6104i | 0.396156 | + | 0.545262i | ||||
\(929\) | 10.6033 | − | 32.6335i | 0.347882 | − | 1.07067i | −0.612141 | − | 0.790749i | \(-0.709692\pi\) |
0.960023 | − | 0.279922i | \(-0.0903085\pi\) | |||||||
\(930\) | −4.83002 | + | 2.87254i | −0.158383 | + | 0.0941943i | ||||
\(931\) | 7.42595 | − | 5.39527i | 0.243376 | − | 0.176823i | ||||
\(932\) | 26.2476 | − | 36.1267i | 0.859768 | − | 1.18337i | ||||
\(933\) | 11.5027 | − | 3.73745i | 0.376581 | − | 0.122359i | ||||
\(934\) | −4.36234 | −0.142740 | ||||||||
\(935\) | −2.45568 | − | 38.0435i | −0.0803092 | − | 1.24416i | ||||
\(936\) | −5.35186 | −0.174931 | ||||||||
\(937\) | −27.5787 | + | 8.96086i | −0.900957 | + | 0.292739i | −0.722632 | − | 0.691233i | \(-0.757068\pi\) |
−0.178325 | + | 0.983972i | \(0.557068\pi\) | |||||||
\(938\) | 3.60508 | − | 4.96197i | 0.117710 | − | 0.162014i | ||||
\(939\) | −5.64374 | + | 4.10041i | −0.184176 | + | 0.133812i | ||||
\(940\) | 20.0691 | + | 33.7451i | 0.654582 | + | 1.10065i | ||||
\(941\) | 5.18921 | − | 15.9707i | 0.169163 | − | 0.520631i | −0.830156 | − | 0.557532i | \(-0.811749\pi\) |
0.999319 | + | 0.0369007i | \(0.0117485\pi\) | |||||||
\(942\) | −0.147104 | − | 0.202472i | −0.00479292 | − | 0.00659689i | ||||
\(943\) | 1.65975 | − | 2.28445i | 0.0540489 | − | 0.0743919i | ||||
\(944\) | −7.15109 | − | 22.0088i | −0.232748 | − | 0.716326i | ||||
\(945\) | 3.90156 | + | 3.42266i | 0.126918 | + | 0.111339i | ||||
\(946\) | −7.89818 | + | 1.24420i | −0.256792 | + | 0.0404524i | ||||
\(947\) | − | 17.4385i | − | 0.566677i | −0.959020 | − | 0.283338i | \(-0.908558\pi\) | ||
0.959020 | − | 0.283338i | \(-0.0914419\pi\) | |||||||
\(948\) | 23.4949 | − | 7.63394i | 0.763078 | − | 0.247939i | ||||
\(949\) | 33.7346 | + | 24.5096i | 1.09507 | + | 0.795616i | ||||
\(950\) | 6.15496 | − | 5.83719i | 0.199693 | − | 0.189383i | ||||
\(951\) | 2.23712 | − | 6.88514i | 0.0725435 | − | 0.223266i | ||||
\(952\) | 13.2285 | + | 4.29821i | 0.428739 | + | 0.139306i | ||||
\(953\) | −0.868687 | − | 1.19565i | −0.0281395 | − | 0.0387308i | 0.794715 | − | 0.606982i | \(-0.207620\pi\) |
−0.822855 | + | 0.568251i | \(0.807620\pi\) | |||||||
\(954\) | −1.02699 | − | 0.746152i | −0.0332501 | − | 0.0241576i | ||||
\(955\) | 7.95355 | − | 18.5044i | 0.257371 | − | 0.598789i | ||||
\(956\) | −33.9914 | −1.09936 | ||||||||
\(957\) | 19.9711 | + | 3.18018i | 0.645573 | + | 0.102801i | ||||
\(958\) | 8.60310i | 0.277954i | ||||||||
\(959\) | −2.88148 | − | 8.86827i | −0.0930477 | − | 0.286371i | ||||
\(960\) | 12.9683 | − | 2.93230i | 0.418550 | − | 0.0946395i | ||||
\(961\) | −32.4365 | + | 23.5665i | −1.04634 | + | 0.760208i | ||||
\(962\) | 4.12902 | + | 1.34160i | 0.133125 | + | 0.0432549i | ||||
\(963\) | 5.81480 | + | 1.88934i | 0.187379 | + | 0.0608833i | ||||
\(964\) | 10.7568 | − | 7.81529i | 0.346454 | − | 0.251714i | ||||
\(965\) | 8.37354 | − | 1.89336i | 0.269554 | − | 0.0609495i | ||||
\(966\) | 1.28828 | + | 3.96491i | 0.0414496 | + | 0.127569i | ||||
\(967\) | − | 26.6515i | − | 0.857054i | −0.903529 | − | 0.428527i | \(-0.859033\pi\) | ||
0.903529 | − | 0.428527i | \(-0.140967\pi\) | |||||||
\(968\) | 10.3870 | − | 7.52017i | 0.333851 | − | 0.241708i | ||||
\(969\) | −29.2588 | −0.939929 | ||||||||
\(970\) | −1.47122 | + | 3.42289i | −0.0472381 | + | 0.109902i | ||||
\(971\) | 31.3110 | + | 22.7487i | 1.00482 | + | 0.730042i | 0.963116 | − | 0.269088i | \(-0.0867222\pi\) |
0.0417012 | + | 0.999130i | \(0.486722\pi\) | |||||||
\(972\) | 1.12335 | + | 1.54616i | 0.0360315 | + | 0.0495931i | ||||
\(973\) | 3.92815 | + | 1.27633i | 0.125931 | + | 0.0409174i | ||||
\(974\) | 2.04097 | − | 6.28147i | 0.0653970 | − | 0.201271i | ||||
\(975\) | −15.7953 | − | 16.6552i | −0.505855 | − | 0.533394i | ||||
\(976\) | 5.11754 | + | 3.71811i | 0.163808 | + | 0.119014i | ||||
\(977\) | 47.3070 | − | 15.3710i | 1.51349 | − | 0.491761i | 0.569568 | − | 0.821944i | \(-0.307110\pi\) |
0.943917 | + | 0.330183i | \(0.107110\pi\) | |||||||
\(978\) | 3.30490i | 0.105679i | ||||||||
\(979\) | −1.95004 | + | 12.2460i | −0.0623236 | + | 0.391383i | ||||
\(980\) | −5.18068 | − | 4.54477i | −0.165491 | − | 0.145177i | ||||
\(981\) | 1.77147 | + | 5.45201i | 0.0565586 | + | 0.174069i | ||||
\(982\) | 2.82469 | − | 3.88786i | 0.0901396 | − | 0.124067i | ||||
\(983\) | −14.4260 | − | 19.8557i | −0.460119 | − | 0.633300i | 0.514414 | − | 0.857542i | \(-0.328009\pi\) |
−0.974534 | + | 0.224242i | \(0.928009\pi\) | |||||||
\(984\) | −0.168808 | + | 0.519537i | −0.00538139 | + | 0.0165622i | ||||
\(985\) | −9.52952 | − | 16.0234i | −0.303636 | − | 0.510547i | ||||
\(986\) | −7.55810 | + | 5.49128i | −0.240699 | + | 0.174878i | ||||
\(987\) | −12.5342 | + | 17.2519i | −0.398968 | + | 0.549133i | ||||
\(988\) | 47.4949 | − | 15.4320i | 1.51101 | − | 0.490958i | ||||
\(989\) | −48.7386 | −1.54980 | ||||||||
\(990\) | −1.18141 | + | 1.86832i | −0.0375476 | + | 0.0593790i | ||||
\(991\) | 32.4673 | 1.03136 | 0.515679 | − | 0.856782i | \(-0.327540\pi\) | ||||
0.515679 | + | 0.856782i | \(0.327540\pi\) | |||||||
\(992\) | −27.0023 | + | 8.77358i | −0.857324 | + | 0.278561i | ||||
\(993\) | −16.2598 | + | 22.3797i | −0.515990 | + | 0.710199i | ||||
\(994\) | 1.37052 | − | 0.995743i | 0.0434703 | − | 0.0315831i | ||||
\(995\) | 4.27419 | − | 2.54197i | 0.135501 | − | 0.0805859i | ||||
\(996\) | −4.92988 | + | 15.1726i | −0.156209 | + | 0.480762i | ||||
\(997\) | 23.3319 | + | 32.1136i | 0.738929 | + | 1.01705i | 0.998680 | + | 0.0513732i | \(0.0163598\pi\) |
−0.259750 | + | 0.965676i | \(0.583640\pi\) | |||||||
\(998\) | −5.40705 | + | 7.44217i | −0.171157 | + | 0.235578i | ||||
\(999\) | −0.980446 | − | 3.01750i | −0.0310199 | − | 0.0954696i |
(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 | 165.2.s.a.49.7 | yes | 48 | |
3.2 | odd | 2 | 495.2.ba.c.379.6 | 48 | |||
5.2 | odd | 4 | 825.2.n.o.676.3 | 24 | |||
5.3 | odd | 4 | 825.2.n.p.676.4 | 24 | |||
5.4 | even | 2 | inner | 165.2.s.a.49.6 | ✓ | 48 | |
11.3 | even | 5 | 1815.2.c.j.364.11 | 24 | |||
11.8 | odd | 10 | 1815.2.c.k.364.14 | 24 | |||
11.9 | even | 5 | inner | 165.2.s.a.64.6 | yes | 48 | |
15.14 | odd | 2 | 495.2.ba.c.379.7 | 48 | |||
33.20 | odd | 10 | 495.2.ba.c.64.7 | 48 | |||
55.3 | odd | 20 | 9075.2.a.dy.1.7 | 12 | |||
55.8 | even | 20 | 9075.2.a.ea.1.6 | 12 | |||
55.9 | even | 10 | inner | 165.2.s.a.64.7 | yes | 48 | |
55.14 | even | 10 | 1815.2.c.j.364.14 | 24 | |||
55.19 | odd | 10 | 1815.2.c.k.364.11 | 24 | |||
55.42 | odd | 20 | 825.2.n.o.526.3 | 24 | |||
55.47 | odd | 20 | 9075.2.a.dz.1.6 | 12 | |||
55.52 | even | 20 | 9075.2.a.dx.1.7 | 12 | |||
55.53 | odd | 20 | 825.2.n.p.526.4 | 24 | |||
165.119 | odd | 10 | 495.2.ba.c.64.6 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.s.a.49.6 | ✓ | 48 | 5.4 | even | 2 | inner | |
165.2.s.a.49.7 | yes | 48 | 1.1 | even | 1 | trivial | |
165.2.s.a.64.6 | yes | 48 | 11.9 | even | 5 | inner | |
165.2.s.a.64.7 | yes | 48 | 55.9 | even | 10 | inner | |
495.2.ba.c.64.6 | 48 | 165.119 | odd | 10 | |||
495.2.ba.c.64.7 | 48 | 33.20 | odd | 10 | |||
495.2.ba.c.379.6 | 48 | 3.2 | odd | 2 | |||
495.2.ba.c.379.7 | 48 | 15.14 | odd | 2 | |||
825.2.n.o.526.3 | 24 | 55.42 | odd | 20 | |||
825.2.n.o.676.3 | 24 | 5.2 | odd | 4 | |||
825.2.n.p.526.4 | 24 | 55.53 | odd | 20 | |||
825.2.n.p.676.4 | 24 | 5.3 | odd | 4 | |||
1815.2.c.j.364.11 | 24 | 11.3 | even | 5 | |||
1815.2.c.j.364.14 | 24 | 55.14 | even | 10 | |||
1815.2.c.k.364.11 | 24 | 55.19 | odd | 10 | |||
1815.2.c.k.364.14 | 24 | 11.8 | odd | 10 | |||
9075.2.a.dx.1.7 | 12 | 55.52 | even | 20 | |||
9075.2.a.dy.1.7 | 12 | 55.3 | odd | 20 | |||
9075.2.a.dz.1.6 | 12 | 55.47 | odd | 20 | |||
9075.2.a.ea.1.6 | 12 | 55.8 | even | 20 |