Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(6,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.bc (of order \(12\), 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: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 20.2 | ||
Character | \(\chi\) | \(=\) | 91.20 |
Dual form | 91.2.bc.a.41.2 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.47996 | + | 0.664504i | −1.75360 | + | 0.469875i | −0.985388 | − | 0.170322i | \(-0.945519\pi\) |
−0.768211 | + | 0.640197i | \(0.778853\pi\) | |||||||
\(3\) | 2.33506 | + | 1.34815i | 1.34815 | + | 0.778353i | 0.987987 | − | 0.154537i | \(-0.0493887\pi\) |
0.360160 | + | 0.932890i | \(0.382722\pi\) | |||||||
\(4\) | 3.97660 | − | 2.29589i | 1.98830 | − | 1.14795i | ||||
\(5\) | 0.281686 | − | 0.281686i | 0.125974 | − | 0.125974i | −0.641309 | − | 0.767283i | \(-0.721608\pi\) |
0.767283 | + | 0.641309i | \(0.221608\pi\) | |||||||
\(6\) | −6.68671 | − | 1.79170i | −2.72984 | − | 0.731458i | ||||
\(7\) | 1.14426 | − | 2.38551i | 0.432488 | − | 0.901640i | ||||
\(8\) | −4.70528 | + | 4.70528i | −1.66357 | + | 1.66357i | ||||
\(9\) | 2.13500 | + | 3.69793i | 0.711667 | + | 1.23264i | ||||
\(10\) | −0.511390 | + | 0.885754i | −0.161716 | + | 0.280100i | ||||
\(11\) | 0.939666 | + | 3.50688i | 0.283320 | + | 1.05736i | 0.950058 | + | 0.312072i | \(0.101023\pi\) |
−0.666738 | + | 0.745292i | \(0.732310\pi\) | |||||||
\(12\) | 12.3808 | 3.57403 | ||||||||
\(13\) | −3.44571 | + | 1.06165i | −0.955667 | + | 0.294449i | ||||
\(14\) | −1.25253 | + | 6.67635i | −0.334753 | + | 1.78433i | ||||
\(15\) | 1.03751 | − | 0.278000i | 0.267884 | − | 0.0717792i | ||||
\(16\) | 3.95046 | − | 6.84240i | 0.987615 | − | 1.71060i | ||||
\(17\) | −2.04856 | − | 3.54822i | −0.496850 | − | 0.860569i | 0.503144 | − | 0.864203i | \(-0.332177\pi\) |
−0.999993 | + | 0.00363405i | \(0.998843\pi\) | |||||||
\(18\) | −7.75202 | − | 7.75202i | −1.82717 | − | 1.82717i | ||||
\(19\) | −0.777996 | − | 0.208463i | −0.178484 | − | 0.0478248i | 0.168470 | − | 0.985707i | \(-0.446117\pi\) |
−0.346954 | + | 0.937882i | \(0.612784\pi\) | |||||||
\(20\) | 0.473433 | − | 1.76688i | 0.105863 | − | 0.395086i | ||||
\(21\) | 5.88793 | − | 4.02769i | 1.28485 | − | 0.878914i | ||||
\(22\) | −4.66067 | − | 8.07252i | −0.993659 | − | 1.72107i | ||||
\(23\) | −4.41149 | − | 2.54698i | −0.919860 | − | 0.531081i | −0.0362693 | − | 0.999342i | \(-0.511547\pi\) |
−0.883590 | + | 0.468261i | \(0.844881\pi\) | |||||||
\(24\) | −17.3305 | + | 4.64370i | −3.53758 | + | 0.947891i | ||||
\(25\) | 4.84131i | 0.968261i | ||||||||
\(26\) | 7.83976 | − | 4.92254i | 1.53750 | − | 0.965390i | ||||
\(27\) | 3.42430i | 0.659007i | ||||||||
\(28\) | −0.926631 | − | 12.1133i | −0.175117 | − | 2.28920i | ||||
\(29\) | 1.00735 | − | 1.74478i | 0.187060 | − | 0.323998i | −0.757209 | − | 0.653173i | \(-0.773437\pi\) |
0.944269 | + | 0.329175i | \(0.106771\pi\) | |||||||
\(30\) | −2.38825 | + | 1.37886i | −0.436033 | + | 0.251744i | ||||
\(31\) | 4.44176 | − | 4.44176i | 0.797764 | − | 0.797764i | −0.184978 | − | 0.982743i | \(-0.559221\pi\) |
0.982743 | + | 0.184978i | \(0.0592214\pi\) | |||||||
\(32\) | −1.80569 | + | 6.73893i | −0.319204 | + | 1.19129i | ||||
\(33\) | −2.53362 | + | 9.45558i | −0.441046 | + | 1.64601i | ||||
\(34\) | 7.43817 | + | 7.43817i | 1.27563 | + | 1.27563i | ||||
\(35\) | −0.349645 | − | 0.994288i | −0.0591009 | − | 0.168065i | ||||
\(36\) | 16.9801 | + | 9.80347i | 2.83002 | + | 1.63391i | ||||
\(37\) | 0.463819 | + | 1.73100i | 0.0762514 | + | 0.284574i | 0.993514 | − | 0.113708i | \(-0.0362730\pi\) |
−0.917263 | + | 0.398283i | \(0.869606\pi\) | |||||||
\(38\) | 2.06793 | 0.335462 | ||||||||
\(39\) | −9.47719 | − | 2.16630i | −1.51757 | − | 0.346886i | ||||
\(40\) | 2.65083i | 0.419133i | ||||||||
\(41\) | −0.578490 | − | 2.15895i | −0.0903449 | − | 0.337172i | 0.905928 | − | 0.423432i | \(-0.139175\pi\) |
−0.996273 | + | 0.0862606i | \(0.972508\pi\) | |||||||
\(42\) | −11.9254 | + | 13.9011i | −1.84013 | + | 2.14498i | ||||
\(43\) | −2.65096 | + | 1.53053i | −0.404267 | + | 0.233404i | −0.688323 | − | 0.725404i | \(-0.741653\pi\) |
0.284057 | + | 0.958808i | \(0.408320\pi\) | |||||||
\(44\) | 11.7881 | + | 11.7881i | 1.77712 | + | 1.77712i | ||||
\(45\) | 1.64306 | + | 0.440256i | 0.244933 | + | 0.0656295i | ||||
\(46\) | 12.6328 | + | 3.38495i | 1.86261 | + | 0.499084i | ||||
\(47\) | −5.99945 | − | 5.99945i | −0.875109 | − | 0.875109i | 0.117914 | − | 0.993024i | \(-0.462379\pi\) |
−0.993024 | + | 0.117914i | \(0.962379\pi\) | |||||||
\(48\) | 18.4491 | − | 10.6516i | 2.66290 | − | 1.53743i | ||||
\(49\) | −4.38135 | − | 5.45928i | −0.625908 | − | 0.779897i | ||||
\(50\) | −3.21707 | − | 12.0063i | −0.454962 | − | 1.69794i | ||||
\(51\) | − | 11.0471i | − | 1.54690i | ||||||
\(52\) | −11.2648 | + | 12.1327i | −1.56214 | + | 1.68251i | ||||
\(53\) | 9.09347 | 1.24908 | 0.624542 | − | 0.780991i | \(-0.285286\pi\) | ||||
0.624542 | + | 0.780991i | \(0.285286\pi\) | |||||||
\(54\) | −2.27546 | − | 8.49214i | −0.309651 | − | 1.15563i | ||||
\(55\) | 1.25253 | + | 0.723149i | 0.168891 | + | 0.0975094i | ||||
\(56\) | 5.84047 | + | 16.6086i | 0.780465 | + | 2.21941i | ||||
\(57\) | −1.53563 | − | 1.53563i | −0.203399 | − | 0.203399i | ||||
\(58\) | −1.33878 | + | 4.99638i | −0.175790 | + | 0.656057i | ||||
\(59\) | −1.92316 | + | 7.17731i | −0.250374 | + | 0.934407i | 0.720232 | + | 0.693733i | \(0.244035\pi\) |
−0.970606 | + | 0.240674i | \(0.922632\pi\) | |||||||
\(60\) | 3.48750 | − | 3.48750i | 0.450235 | − | 0.450235i | ||||
\(61\) | −2.40353 | + | 1.38768i | −0.307741 | + | 0.177674i | −0.645915 | − | 0.763409i | \(-0.723524\pi\) |
0.338174 | + | 0.941084i | \(0.390191\pi\) | |||||||
\(62\) | −8.06384 | + | 13.9670i | −1.02411 | + | 1.77381i | ||||
\(63\) | 11.2645 | − | 0.861695i | 1.41919 | − | 0.108563i | ||||
\(64\) | − | 2.11035i | − | 0.263794i | ||||||
\(65\) | −0.671556 | + | 1.26966i | −0.0832963 | + | 0.157482i | ||||
\(66\) | − | 25.1331i | − | 3.09367i | ||||||
\(67\) | −4.85858 | + | 1.30185i | −0.593570 | + | 0.159046i | −0.543084 | − | 0.839678i | \(-0.682744\pi\) |
−0.0504855 | + | 0.998725i | \(0.516077\pi\) | |||||||
\(68\) | −16.2926 | − | 9.40656i | −1.97577 | − | 1.14071i | ||||
\(69\) | −6.86740 | − | 11.8947i | −0.826737 | − | 1.43195i | ||||
\(70\) | 1.52782 | + | 2.23346i | 0.182609 | + | 0.266949i | ||||
\(71\) | −0.582978 | + | 2.17570i | −0.0691867 | + | 0.258208i | −0.991852 | − | 0.127393i | \(-0.959339\pi\) |
0.922666 | + | 0.385601i | \(0.126006\pi\) | |||||||
\(72\) | −27.4456 | − | 7.35402i | −3.23449 | − | 0.866680i | ||||
\(73\) | 3.50176 | + | 3.50176i | 0.409850 | + | 0.409850i | 0.881686 | − | 0.471836i | \(-0.156409\pi\) |
−0.471836 | + | 0.881686i | \(0.656409\pi\) | |||||||
\(74\) | −2.30051 | − | 3.98460i | −0.267429 | − | 0.463200i | ||||
\(75\) | −6.52679 | + | 11.3047i | −0.753649 | + | 1.30536i | ||||
\(76\) | −3.57239 | + | 0.957219i | −0.409781 | + | 0.109801i | ||||
\(77\) | 9.44093 | + | 1.77118i | 1.07589 | + | 0.201845i | ||||
\(78\) | 24.9426 | − | 0.925283i | 2.82419 | − | 0.104768i | ||||
\(79\) | −3.61967 | −0.407245 | −0.203622 | − | 0.979050i | \(-0.565271\pi\) | ||||
−0.203622 | + | 0.979050i | \(0.565271\pi\) | |||||||
\(80\) | −0.814620 | − | 3.04020i | −0.0910772 | − | 0.339905i | ||||
\(81\) | 1.78854 | − | 3.09785i | 0.198727 | − | 0.344205i | ||||
\(82\) | 2.86927 | + | 4.96972i | 0.316857 | + | 0.548813i | ||||
\(83\) | −5.36774 | + | 5.36774i | −0.589186 | + | 0.589186i | −0.937411 | − | 0.348225i | \(-0.886785\pi\) |
0.348225 | + | 0.937411i | \(0.386785\pi\) | |||||||
\(84\) | 14.1668 | − | 29.5346i | 1.54573 | − | 3.22249i | ||||
\(85\) | −1.57654 | − | 0.422432i | −0.170999 | − | 0.0458191i | ||||
\(86\) | 5.55723 | − | 5.55723i | 0.599251 | − | 0.599251i | ||||
\(87\) | 4.70444 | − | 2.71611i | 0.504369 | − | 0.291198i | ||||
\(88\) | −20.9222 | − | 12.0795i | −2.23032 | − | 1.28768i | ||||
\(89\) | 11.5425 | − | 3.09280i | 1.22350 | − | 0.327836i | 0.411454 | − | 0.911430i | \(-0.365021\pi\) |
0.812045 | + | 0.583595i | \(0.198354\pi\) | |||||||
\(90\) | −4.36728 | −0.460351 | ||||||||
\(91\) | −1.41019 | + | 9.43458i | −0.147828 | + | 0.989013i | ||||
\(92\) | −23.3903 | −2.43861 | ||||||||
\(93\) | 16.3599 | − | 4.38363i | 1.69645 | − | 0.454561i | ||||
\(94\) | 18.8651 | + | 10.8918i | 1.94578 | + | 1.12340i | ||||
\(95\) | −0.277872 | + | 0.160430i | −0.0285091 | + | 0.0164597i | ||||
\(96\) | −13.3015 | + | 13.3015i | −1.35758 | + | 1.35758i | ||||
\(97\) | 7.71975 | + | 2.06850i | 0.783822 | + | 0.210024i | 0.628469 | − | 0.777835i | \(-0.283682\pi\) |
0.155353 | + | 0.987859i | \(0.450349\pi\) | |||||||
\(98\) | 14.4933 | + | 10.6274i | 1.46405 | + | 1.07353i | ||||
\(99\) | −10.9620 | + | 10.9620i | −1.10172 | + | 1.10172i | ||||
\(100\) | 11.1151 | + | 19.2519i | 1.11151 | + | 1.92519i | ||||
\(101\) | 2.25123 | − | 3.89924i | 0.224005 | − | 0.387989i | −0.732015 | − | 0.681288i | \(-0.761420\pi\) |
0.956021 | + | 0.293300i | \(0.0947533\pi\) | |||||||
\(102\) | 7.34082 | + | 27.3963i | 0.726849 | + | 2.71264i | ||||
\(103\) | −16.1000 | −1.58638 | −0.793192 | − | 0.608971i | \(-0.791582\pi\) | ||||
−0.793192 | + | 0.608971i | \(0.791582\pi\) | |||||||
\(104\) | 11.2177 | − | 21.2084i | 1.09998 | − | 2.07965i | ||||
\(105\) | 0.524004 | − | 2.79310i | 0.0511376 | − | 0.272578i | ||||
\(106\) | −22.5515 | + | 6.04265i | −2.19039 | + | 0.586914i | ||||
\(107\) | 5.40840 | − | 9.36762i | 0.522850 | − | 0.905602i | −0.476797 | − | 0.879014i | \(-0.658202\pi\) |
0.999646 | − | 0.0265887i | \(-0.00846443\pi\) | |||||||
\(108\) | 7.86183 | + | 13.6171i | 0.756505 | + | 1.31030i | ||||
\(109\) | 2.35784 | + | 2.35784i | 0.225841 | + | 0.225841i | 0.810953 | − | 0.585112i | \(-0.198949\pi\) |
−0.585112 | + | 0.810953i | \(0.698949\pi\) | |||||||
\(110\) | −3.58677 | − | 0.961072i | −0.341985 | − | 0.0916346i | ||||
\(111\) | −1.25059 | + | 4.66728i | −0.118701 | + | 0.442998i | ||||
\(112\) | −11.8023 | − | 17.2533i | −1.11521 | − | 1.63029i | ||||
\(113\) | 3.82032 | + | 6.61699i | 0.359386 | + | 0.622474i | 0.987858 | − | 0.155357i | \(-0.0496529\pi\) |
−0.628473 | + | 0.777832i | \(0.716320\pi\) | |||||||
\(114\) | 4.82873 | + | 2.78787i | 0.452252 | + | 0.261108i | ||||
\(115\) | −1.96011 | + | 0.525209i | −0.182781 | + | 0.0489760i | ||||
\(116\) | − | 9.25107i | − | 0.858940i | ||||||
\(117\) | −11.2825 | − | 10.4754i | −1.04307 | − | 0.968447i | ||||
\(118\) | − | 19.0774i | − | 1.75622i | ||||||
\(119\) | −10.8084 | + | 0.826808i | −0.990804 | + | 0.0757934i | ||||
\(120\) | −3.57371 | + | 6.18984i | −0.326233 | + | 0.565052i | ||||
\(121\) | −1.88896 | + | 1.09059i | −0.171723 | + | 0.0991446i | ||||
\(122\) | 5.03856 | − | 5.03856i | 0.456169 | − | 0.456169i | ||||
\(123\) | 1.55978 | − | 5.82117i | 0.140640 | − | 0.524877i | ||||
\(124\) | 7.46532 | − | 27.8609i | 0.670405 | − | 2.50199i | ||||
\(125\) | 2.77216 | + | 2.77216i | 0.247950 | + | 0.247950i | ||||
\(126\) | −27.3628 | + | 9.62225i | −2.43768 | + | 0.857218i | ||||
\(127\) | 10.8931 | + | 6.28911i | 0.966602 | + | 0.558068i | 0.898199 | − | 0.439590i | \(-0.144876\pi\) |
0.0684037 | + | 0.997658i | \(0.478209\pi\) | |||||||
\(128\) | −2.20905 | − | 8.24427i | −0.195254 | − | 0.728697i | ||||
\(129\) | −8.25352 | −0.726682 | ||||||||
\(130\) | 0.821740 | − | 3.59497i | 0.0720713 | − | 0.315299i | ||||
\(131\) | 11.7715i | 1.02848i | 0.857646 | + | 0.514241i | \(0.171926\pi\) | ||||
−0.857646 | + | 0.514241i | \(0.828074\pi\) | |||||||
\(132\) | 11.6338 | + | 43.4180i | 1.01259 | + | 3.77905i | ||||
\(133\) | −1.38752 | + | 1.61738i | −0.120313 | + | 0.140245i | ||||
\(134\) | 11.1840 | − | 6.45709i | 0.966151 | − | 0.557808i | ||||
\(135\) | 0.964579 | + | 0.964579i | 0.0830177 | + | 0.0830177i | ||||
\(136\) | 26.3344 | + | 7.05628i | 2.25816 | + | 0.605071i | ||||
\(137\) | −12.5772 | − | 3.37005i | −1.07454 | − | 0.287923i | −0.322184 | − | 0.946677i | \(-0.604417\pi\) |
−0.752358 | + | 0.658754i | \(0.771084\pi\) | |||||||
\(138\) | 24.9350 | + | 24.9350i | 2.12260 | + | 2.12260i | ||||
\(139\) | −7.49780 | + | 4.32886i | −0.635955 | + | 0.367169i | −0.783055 | − | 0.621953i | \(-0.786340\pi\) |
0.147099 | + | 0.989122i | \(0.453006\pi\) | |||||||
\(140\) | −3.67318 | − | 3.15114i | −0.310440 | − | 0.266320i | ||||
\(141\) | −5.92093 | − | 22.0972i | −0.498632 | − | 1.86092i | ||||
\(142\) | − | 5.78305i | − | 0.485303i | ||||||
\(143\) | −6.96090 | − | 11.0861i | −0.582099 | − | 0.927065i | ||||
\(144\) | 33.7370 | 2.81141 | ||||||||
\(145\) | −0.207724 | − | 0.775238i | −0.0172506 | − | 0.0643800i | ||||
\(146\) | −11.0112 | − | 6.35730i | −0.911291 | − | 0.526134i | ||||
\(147\) | −2.87081 | − | 18.6545i | −0.236781 | − | 1.53859i | ||||
\(148\) | 5.81861 | + | 5.81861i | 0.478287 | + | 0.478287i | ||||
\(149\) | −4.83483 | + | 18.0438i | −0.396085 | + | 1.47821i | 0.423840 | + | 0.905737i | \(0.360682\pi\) |
−0.819925 | + | 0.572471i | \(0.805985\pi\) | |||||||
\(150\) | 8.67416 | − | 32.3724i | 0.708242 | − | 2.64320i | ||||
\(151\) | 9.94985 | − | 9.94985i | 0.809707 | − | 0.809707i | −0.174882 | − | 0.984589i | \(-0.555954\pi\) |
0.984589 | + | 0.174882i | \(0.0559544\pi\) | |||||||
\(152\) | 4.64157 | − | 2.67981i | 0.376481 | − | 0.217361i | ||||
\(153\) | 8.74737 | − | 15.1509i | 0.707183 | − | 1.22488i | ||||
\(154\) | −24.5901 | + | 1.88107i | −1.98153 | + | 0.151581i | ||||
\(155\) | − | 2.50237i | − | 0.200995i | ||||||
\(156\) | −42.6606 | + | 13.1441i | −3.41558 | + | 1.05237i | ||||
\(157\) | 14.0101i | 1.11813i | 0.829124 | + | 0.559064i | \(0.188840\pi\) | ||||
−0.829124 | + | 0.559064i | \(0.811160\pi\) | |||||||
\(158\) | 8.97665 | − | 2.40529i | 0.714144 | − | 0.191354i | ||||
\(159\) | 21.2338 | + | 12.2593i | 1.68395 | + | 0.972229i | ||||
\(160\) | 1.38963 | + | 2.40690i | 0.109860 | + | 0.190282i | ||||
\(161\) | −11.1237 | + | 7.60928i | −0.876672 | + | 0.599695i | ||||
\(162\) | −2.37699 | + | 8.87104i | −0.186754 | + | 0.696975i | ||||
\(163\) | −9.15502 | − | 2.45308i | −0.717076 | − | 0.192140i | −0.118210 | − | 0.992989i | \(-0.537715\pi\) |
−0.598867 | + | 0.800849i | \(0.704382\pi\) | |||||||
\(164\) | −7.25715 | − | 7.25715i | −0.566688 | − | 0.566688i | ||||
\(165\) | 1.94982 | + | 3.37719i | 0.151794 | + | 0.262914i | ||||
\(166\) | 9.74492 | − | 16.8787i | 0.756353 | − | 1.31004i | ||||
\(167\) | 9.41229 | − | 2.52202i | 0.728345 | − | 0.195159i | 0.124453 | − | 0.992226i | \(-0.460282\pi\) |
0.603892 | + | 0.797066i | \(0.293616\pi\) | |||||||
\(168\) | −8.75295 | + | 46.6558i | −0.675305 | + | 3.59957i | ||||
\(169\) | 10.7458 | − | 7.31628i | 0.826600 | − | 0.562790i | ||||
\(170\) | 4.19046 | 0.321394 | ||||||||
\(171\) | −0.890139 | − | 3.32204i | −0.0680706 | − | 0.254043i | ||||
\(172\) | −7.02786 | + | 12.1726i | −0.535870 | + | 0.928153i | ||||
\(173\) | 8.50332 | + | 14.7282i | 0.646496 | + | 1.11976i | 0.983954 | + | 0.178423i | \(0.0570995\pi\) |
−0.337458 | + | 0.941341i | \(0.609567\pi\) | |||||||
\(174\) | −9.86198 | + | 9.86198i | −0.747635 | + | 0.747635i | ||||
\(175\) | 11.5490 | + | 5.53969i | 0.873023 | + | 0.418762i | ||||
\(176\) | 27.7076 | + | 7.42423i | 2.08854 | + | 0.559622i | ||||
\(177\) | −14.1668 | + | 14.1668i | −1.06484 | + | 1.06484i | ||||
\(178\) | −26.5697 | + | 15.3400i | −1.99149 | + | 1.14978i | ||||
\(179\) | 9.41215 | + | 5.43411i | 0.703497 | + | 0.406164i | 0.808649 | − | 0.588292i | \(-0.200199\pi\) |
−0.105152 | + | 0.994456i | \(0.533533\pi\) | |||||||
\(180\) | 7.54457 | − | 2.02156i | 0.562339 | − | 0.150678i | ||||
\(181\) | 20.7716 | 1.54394 | 0.771969 | − | 0.635661i | \(-0.219272\pi\) | ||||
0.771969 | + | 0.635661i | \(0.219272\pi\) | |||||||
\(182\) | −2.77210 | − | 24.3345i | −0.205482 | − | 1.80379i | ||||
\(183\) | −7.48319 | −0.553173 | ||||||||
\(184\) | 32.7415 | − | 8.77307i | 2.41374 | − | 0.646759i | ||||
\(185\) | 0.618250 | + | 0.356947i | 0.0454546 | + | 0.0262432i | ||||
\(186\) | −37.6591 | + | 21.7425i | −2.76130 | + | 1.59424i | ||||
\(187\) | 10.5182 | − | 10.5182i | 0.769167 | − | 0.769167i | ||||
\(188\) | −37.6315 | − | 10.0833i | −2.74456 | − | 0.735402i | ||||
\(189\) | 8.16872 | + | 3.91828i | 0.594187 | + | 0.285013i | ||||
\(190\) | 0.582507 | − | 0.582507i | 0.0422595 | − | 0.0422595i | ||||
\(191\) | −0.742192 | − | 1.28551i | −0.0537031 | − | 0.0930165i | 0.837924 | − | 0.545787i | \(-0.183769\pi\) |
−0.891627 | + | 0.452770i | \(0.850436\pi\) | |||||||
\(192\) | 2.84506 | − | 4.92779i | 0.205325 | − | 0.355633i | ||||
\(193\) | −1.90039 | − | 7.09237i | −0.136793 | − | 0.510520i | −0.999984 | − | 0.00564177i | \(-0.998204\pi\) |
0.863191 | − | 0.504878i | \(-0.168463\pi\) | |||||||
\(194\) | −20.5192 | −1.47319 | ||||||||
\(195\) | −3.27981 | + | 2.05938i | −0.234872 | + | 0.147475i | ||||
\(196\) | −29.9568 | − | 11.6503i | −2.13977 | − | 0.832162i | ||||
\(197\) | 17.4416 | − | 4.67347i | 1.24266 | − | 0.332971i | 0.423166 | − | 0.906052i | \(-0.360919\pi\) |
0.819499 | + | 0.573081i | \(0.194252\pi\) | |||||||
\(198\) | 19.9011 | − | 34.4697i | 1.41431 | − | 2.44965i | ||||
\(199\) | −1.63076 | − | 2.82456i | −0.115602 | − | 0.200228i | 0.802418 | − | 0.596762i | \(-0.203546\pi\) |
−0.918020 | + | 0.396534i | \(0.870213\pi\) | |||||||
\(200\) | −22.7797 | − | 22.7797i | −1.61077 | − | 1.61077i | ||||
\(201\) | −13.1002 | − | 3.51017i | −0.924013 | − | 0.247589i | ||||
\(202\) | −2.99190 | + | 11.1659i | −0.210509 | + | 0.785631i | ||||
\(203\) | −3.00953 | − | 4.39952i | −0.211228 | − | 0.308786i | ||||
\(204\) | −25.3629 | − | 43.9298i | −1.77576 | − | 3.07570i | ||||
\(205\) | −0.771100 | − | 0.445195i | −0.0538560 | − | 0.0310938i | ||||
\(206\) | 39.9275 | − | 10.6985i | 2.78188 | − | 0.745403i | ||||
\(207\) | − | 21.7512i | − | 1.51181i | ||||||
\(208\) | −6.34789 | + | 27.7709i | −0.440147 | + | 1.92557i | ||||
\(209\) | − | 2.92422i | − | 0.202273i | ||||||
\(210\) | 0.556513 | + | 7.27498i | 0.0384030 | + | 0.502021i | ||||
\(211\) | 1.10904 | − | 1.92091i | 0.0763492 | − | 0.132241i | −0.825323 | − | 0.564661i | \(-0.809007\pi\) |
0.901672 | + | 0.432420i | \(0.142340\pi\) | |||||||
\(212\) | 36.1611 | − | 20.8776i | 2.48356 | − | 1.43388i | ||||
\(213\) | −4.29445 | + | 4.29445i | −0.294251 | + | 0.294251i | ||||
\(214\) | −7.18781 | + | 26.8253i | −0.491348 | + | 1.83374i | ||||
\(215\) | −0.315609 | + | 1.17787i | −0.0215243 | + | 0.0803299i | ||||
\(216\) | −16.1123 | − | 16.1123i | −1.09630 | − | 1.09630i | ||||
\(217\) | −5.51337 | − | 15.6784i | −0.374272 | − | 1.06432i | ||||
\(218\) | −7.41417 | − | 4.28057i | −0.502151 | − | 0.289917i | ||||
\(219\) | 3.45593 | + | 12.8977i | 0.233530 | + | 0.871546i | ||||
\(220\) | 6.64109 | 0.447742 | ||||||||
\(221\) | 10.8257 | + | 10.0513i | 0.728216 | + | 0.676120i | ||||
\(222\) | − | 12.4057i | − | 0.832616i | ||||||
\(223\) | −1.40793 | − | 5.25448i | −0.0942823 | − | 0.351866i | 0.902627 | − | 0.430423i | \(-0.141636\pi\) |
−0.996910 | + | 0.0785566i | \(0.974969\pi\) | |||||||
\(224\) | 14.0096 | + | 12.0186i | 0.936059 | + | 0.803024i | ||||
\(225\) | −17.9028 | + | 10.3362i | −1.19352 | + | 0.689080i | ||||
\(226\) | −13.8713 | − | 13.8713i | −0.922704 | − | 0.922704i | ||||
\(227\) | 0.334926 | + | 0.0897430i | 0.0222298 | + | 0.00595646i | 0.269917 | − | 0.962884i | \(-0.413004\pi\) |
−0.247687 | + | 0.968840i | \(0.579670\pi\) | |||||||
\(228\) | −9.63221 | − | 2.58094i | −0.637909 | − | 0.170927i | ||||
\(229\) | −18.7465 | − | 18.7465i | −1.23880 | − | 1.23880i | −0.960491 | − | 0.278312i | \(-0.910225\pi\) |
−0.278312 | − | 0.960491i | \(-0.589775\pi\) | |||||||
\(230\) | 4.51199 | − | 2.60500i | 0.297512 | − | 0.171768i | ||||
\(231\) | 19.6573 | + | 16.8636i | 1.29336 | + | 1.10954i | ||||
\(232\) | 3.46982 | + | 12.9496i | 0.227805 | + | 0.850180i | ||||
\(233\) | 21.8266i | 1.42991i | 0.699173 | + | 0.714953i | \(0.253552\pi\) | ||||
−0.699173 | + | 0.714953i | \(0.746448\pi\) | |||||||
\(234\) | 34.9411 | + | 18.4812i | 2.28417 | + | 1.20816i | ||||
\(235\) | −3.37993 | −0.220482 | ||||||||
\(236\) | 8.83072 | + | 32.9567i | 0.574831 | + | 2.14530i | ||||
\(237\) | −8.45215 | − | 4.87985i | −0.549026 | − | 0.316980i | ||||
\(238\) | 26.2550 | − | 9.23268i | 1.70186 | − | 0.598466i | ||||
\(239\) | 2.02192 | + | 2.02192i | 0.130787 | + | 0.130787i | 0.769470 | − | 0.638683i | \(-0.220520\pi\) |
−0.638683 | + | 0.769470i | \(0.720520\pi\) | |||||||
\(240\) | 2.19645 | − | 8.19728i | 0.141781 | − | 0.529132i | ||||
\(241\) | −7.81005 | + | 29.1475i | −0.503090 | + | 1.87756i | −0.0241515 | + | 0.999708i | \(0.507688\pi\) |
−0.478938 | + | 0.877849i | \(0.658978\pi\) | |||||||
\(242\) | 3.95985 | − | 3.95985i | 0.254549 | − | 0.254549i | ||||
\(243\) | 17.2493 | − | 9.95889i | 1.10654 | − | 0.638863i | ||||
\(244\) | −6.37193 | + | 11.0365i | −0.407921 | + | 0.706540i | ||||
\(245\) | −2.77197 | − | 0.303637i | −0.177095 | − | 0.0193986i | ||||
\(246\) | 15.4728i | 0.986508i | ||||||||
\(247\) | 2.90206 | − | 0.107656i | 0.184654 | − | 0.00685001i | ||||
\(248\) | 41.7995i | 2.65427i | ||||||||
\(249\) | −19.7705 | + | 5.29749i | −1.25291 | + | 0.335715i | ||||
\(250\) | −8.71697 | − | 5.03275i | −0.551310 | − | 0.318299i | ||||
\(251\) | −8.33953 | − | 14.4445i | −0.526386 | − | 0.911728i | −0.999527 | − | 0.0307412i | \(-0.990213\pi\) |
0.473141 | − | 0.880987i | \(-0.343120\pi\) | |||||||
\(252\) | 42.8159 | − | 29.2886i | 2.69715 | − | 1.84501i | ||||
\(253\) | 4.78661 | − | 17.8639i | 0.300932 | − | 1.12309i | ||||
\(254\) | −31.1935 | − | 8.35828i | −1.95726 | − | 0.524445i | ||||
\(255\) | −3.11181 | − | 3.11181i | −0.194869 | − | 0.194869i | ||||
\(256\) | 13.0671 | + | 22.6328i | 0.816691 | + | 1.41455i | ||||
\(257\) | −6.10569 | + | 10.5754i | −0.380863 | + | 0.659674i | −0.991186 | − | 0.132479i | \(-0.957706\pi\) |
0.610323 | + | 0.792153i | \(0.291040\pi\) | |||||||
\(258\) | 20.4684 | − | 5.48450i | 1.27431 | − | 0.341450i | ||||
\(259\) | 4.66005 | + | 0.874257i | 0.289561 | + | 0.0543237i | ||||
\(260\) | 0.244494 | + | 6.59076i | 0.0151629 | + | 0.408742i | ||||
\(261\) | 8.60277 | 0.532498 | ||||||||
\(262\) | −7.82222 | − | 29.1929i | −0.483258 | − | 1.80354i | ||||
\(263\) | −7.30314 | + | 12.6494i | −0.450331 | + | 0.779996i | −0.998406 | − | 0.0564328i | \(-0.982027\pi\) |
0.548075 | + | 0.836429i | \(0.315361\pi\) | |||||||
\(264\) | −32.5698 | − | 56.4125i | −2.00453 | − | 3.47195i | ||||
\(265\) | 2.56151 | − | 2.56151i | 0.157352 | − | 0.157352i | ||||
\(266\) | 2.36624 | − | 4.93307i | 0.145083 | − | 0.302466i | ||||
\(267\) | 31.1219 | + | 8.33909i | 1.90463 | + | 0.510344i | ||||
\(268\) | −16.3317 | + | 16.3317i | −0.997618 | + | 0.997618i | ||||
\(269\) | −4.31634 | + | 2.49204i | −0.263172 | + | 0.151942i | −0.625781 | − | 0.779999i | \(-0.715219\pi\) |
0.362609 | + | 0.931941i | \(0.381886\pi\) | |||||||
\(270\) | −3.03309 | − | 1.75115i | −0.184588 | − | 0.106572i | ||||
\(271\) | −25.5915 | + | 6.85721i | −1.55457 | + | 0.416546i | −0.930940 | − | 0.365173i | \(-0.881010\pi\) |
−0.623631 | + | 0.781719i | \(0.714343\pi\) | |||||||
\(272\) | −32.3711 | −1.96278 | ||||||||
\(273\) | −16.0121 | + | 20.1292i | −0.969095 | + | 1.21827i | ||||
\(274\) | 33.4304 | 2.01960 | ||||||||
\(275\) | −16.9779 | + | 4.54921i | −1.02380 | + | 0.274328i | ||||
\(276\) | −54.6178 | − | 31.5336i | −3.28761 | − | 1.89810i | ||||
\(277\) | 17.6881 | − | 10.2122i | 1.06277 | − | 0.613592i | 0.136574 | − | 0.990630i | \(-0.456391\pi\) |
0.926198 | + | 0.377038i | \(0.123057\pi\) | |||||||
\(278\) | 15.7177 | − | 15.7177i | 0.942687 | − | 0.942687i | ||||
\(279\) | 25.9085 | + | 6.94216i | 1.55110 | + | 0.415617i | ||||
\(280\) | 6.32359 | + | 3.03323i | 0.377907 | + | 0.181270i | ||||
\(281\) | −3.86728 | + | 3.86728i | −0.230703 | + | 0.230703i | −0.812986 | − | 0.582283i | \(-0.802159\pi\) |
0.582283 | + | 0.812986i | \(0.302159\pi\) | |||||||
\(282\) | 29.3674 | + | 50.8658i | 1.74880 | + | 3.02901i | ||||
\(283\) | 12.5189 | − | 21.6835i | 0.744174 | − | 1.28895i | −0.206405 | − | 0.978467i | \(-0.566177\pi\) |
0.950580 | − | 0.310481i | \(-0.100490\pi\) | |||||||
\(284\) | 2.67691 | + | 9.99036i | 0.158845 | + | 0.592819i | ||||
\(285\) | −0.865131 | −0.0512459 | ||||||||
\(286\) | 24.6295 | + | 22.8675i | 1.45637 | + | 1.35219i | ||||
\(287\) | −5.81215 | − | 1.09040i | −0.343081 | − | 0.0643643i | ||||
\(288\) | −28.7753 | + | 7.71031i | −1.69560 | + | 0.454334i | ||||
\(289\) | 0.106779 | − | 0.184946i | 0.00628111 | − | 0.0108792i | ||||
\(290\) | 1.03030 | + | 1.78453i | 0.0605012 | + | 0.104791i | ||||
\(291\) | 15.2374 | + | 15.2374i | 0.893234 | + | 0.893234i | ||||
\(292\) | 21.9648 | + | 5.88544i | 1.28539 | + | 0.344420i | ||||
\(293\) | 4.77690 | − | 17.8276i | 0.279069 | − | 1.04150i | −0.673996 | − | 0.738735i | \(-0.735423\pi\) |
0.953065 | − | 0.302766i | \(-0.0979100\pi\) | |||||||
\(294\) | 19.5155 | + | 44.3547i | 1.13817 | + | 2.58682i | ||||
\(295\) | 1.48003 | + | 2.56348i | 0.0861704 | + | 0.149251i | ||||
\(296\) | −10.3272 | − | 5.96243i | −0.600258 | − | 0.346559i | ||||
\(297\) | −12.0086 | + | 3.21770i | −0.696810 | + | 0.186710i | ||||
\(298\) | − | 47.9608i | − | 2.77829i | ||||||
\(299\) | 17.9047 | + | 4.09267i | 1.03546 | + | 0.236685i | ||||
\(300\) | 59.9393i | 3.46059i | ||||||||
\(301\) | 0.617728 | + | 8.07521i | 0.0356052 | + | 0.465447i | ||||
\(302\) | −18.0636 | + | 31.2870i | −1.03944 | + | 1.80036i | ||||
\(303\) | 10.5135 | − | 6.06997i | 0.603985 | − | 0.348711i | ||||
\(304\) | −4.49983 | + | 4.49983i | −0.258083 | + | 0.258083i | ||||
\(305\) | −0.286152 | + | 1.06793i | −0.0163850 | + | 0.0611497i | ||||
\(306\) | −11.6253 | + | 43.3863i | −0.664576 | + | 2.48023i | ||||
\(307\) | 14.6697 | + | 14.6697i | 0.837243 | + | 0.837243i | 0.988495 | − | 0.151252i | \(-0.0483305\pi\) |
−0.151252 | + | 0.988495i | \(0.548330\pi\) | |||||||
\(308\) | 41.6093 | − | 14.6321i | 2.37091 | − | 0.833739i | ||||
\(309\) | −37.5946 | − | 21.7052i | −2.13868 | − | 1.23477i | ||||
\(310\) | 1.66284 | + | 6.20579i | 0.0944427 | + | 0.352465i | ||||
\(311\) | −5.86149 | −0.332374 | −0.166187 | − | 0.986094i | \(-0.553146\pi\) | ||||
−0.166187 | + | 0.986094i | \(0.553146\pi\) | |||||||
\(312\) | 54.7859 | − | 34.3998i | 3.10164 | − | 1.94750i | ||||
\(313\) | − | 20.4076i | − | 1.15351i | −0.816918 | − | 0.576754i | \(-0.804319\pi\) | ||
0.816918 | − | 0.576754i | \(-0.195681\pi\) | |||||||
\(314\) | −9.30978 | − | 34.7446i | −0.525381 | − | 1.96075i | ||||
\(315\) | 2.93032 | − | 3.41577i | 0.165105 | − | 0.192457i | ||||
\(316\) | −14.3940 | + | 8.31037i | −0.809725 | + | 0.467495i | ||||
\(317\) | −5.42384 | − | 5.42384i | −0.304633 | − | 0.304633i | 0.538190 | − | 0.842824i | \(-0.319108\pi\) |
−0.842824 | + | 0.538190i | \(0.819108\pi\) | |||||||
\(318\) | −60.8054 | − | 16.2928i | −3.40980 | − | 0.913653i | ||||
\(319\) | 7.06531 | + | 1.89314i | 0.395582 | + | 0.105996i | ||||
\(320\) | −0.594457 | − | 0.594457i | −0.0332312 | − | 0.0332312i | ||||
\(321\) | 25.2579 | − | 14.5826i | 1.40976 | − | 0.813923i | ||||
\(322\) | 22.5300 | − | 26.2625i | 1.25555 | − | 1.46355i | ||||
\(323\) | 0.854101 | + | 3.18755i | 0.0475234 | + | 0.177360i | ||||
\(324\) | − | 16.4252i | − | 0.912512i | ||||||
\(325\) | −5.13978 | − | 16.6817i | −0.285103 | − | 0.925335i | ||||
\(326\) | 24.3342 | 1.34775 | ||||||||
\(327\) | 2.32699 | + | 8.68443i | 0.128683 | + | 0.480250i | ||||
\(328\) | 12.8804 | + | 7.43652i | 0.711203 | + | 0.410613i | ||||
\(329\) | −21.1767 | + | 7.44686i | −1.16751 | + | 0.410559i | ||||
\(330\) | −7.07965 | − | 7.07965i | −0.389722 | − | 0.389722i | ||||
\(331\) | 6.52453 | − | 24.3499i | 0.358621 | − | 1.33839i | −0.517246 | − | 0.855837i | \(-0.673043\pi\) |
0.875866 | − | 0.482554i | \(-0.160291\pi\) | |||||||
\(332\) | −9.02162 | + | 33.6691i | −0.495126 | + | 1.84783i | ||||
\(333\) | −5.41085 | + | 5.41085i | −0.296513 | + | 0.296513i | ||||
\(334\) | −21.6662 | + | 12.5090i | −1.18552 | + | 0.684463i | ||||
\(335\) | −1.00188 | + | 1.73531i | −0.0547386 | + | 0.0948100i | ||||
\(336\) | −4.29903 | − | 56.1988i | −0.234531 | − | 3.06590i | ||||
\(337\) | 30.1306i | 1.64132i | 0.571417 | + | 0.820660i | \(0.306394\pi\) | ||||
−0.571417 | + | 0.820660i | \(0.693606\pi\) | |||||||
\(338\) | −21.7875 | + | 25.2847i | −1.18508 | + | 1.37531i | ||||
\(339\) | 20.6014i | 1.11892i | ||||||||
\(340\) | −7.23912 | + | 1.93972i | −0.392596 | + | 0.105196i | ||||
\(341\) | 19.7505 | + | 11.4030i | 1.06955 | + | 0.617505i | ||||
\(342\) | 4.41503 | + | 7.64705i | 0.238737 | + | 0.413505i | ||||
\(343\) | −18.0366 | + | 4.20497i | −0.973884 | + | 0.227047i | ||||
\(344\) | 5.27192 | − | 19.6751i | 0.284243 | − | 1.06081i | ||||
\(345\) | −5.28502 | − | 1.41612i | −0.284536 | − | 0.0762412i | ||||
\(346\) | −30.8749 | − | 30.8749i | −1.65984 | − | 1.65984i | ||||
\(347\) | −17.2300 | − | 29.8433i | −0.924957 | − | 1.60207i | −0.791631 | − | 0.611000i | \(-0.790768\pi\) |
−0.133326 | − | 0.991072i | \(-0.542566\pi\) | |||||||
\(348\) | 12.4718 | − | 21.6018i | 0.668559 | − | 1.15798i | ||||
\(349\) | −3.97028 | + | 1.06383i | −0.212524 | + | 0.0569457i | −0.363510 | − | 0.931590i | \(-0.618422\pi\) |
0.150986 | + | 0.988536i | \(0.451755\pi\) | |||||||
\(350\) | −32.3223 | − | 6.06388i | −1.72770 | − | 0.324128i | ||||
\(351\) | −3.63541 | − | 11.7991i | −0.194044 | − | 0.629791i | ||||
\(352\) | −25.3294 | −1.35006 | ||||||||
\(353\) | 2.81747 | + | 10.5149i | 0.149959 | + | 0.559653i | 0.999484 | + | 0.0321060i | \(0.0102214\pi\) |
−0.849526 | + | 0.527547i | \(0.823112\pi\) | |||||||
\(354\) | 25.7192 | − | 44.5469i | 1.36696 | − | 2.36764i | ||||
\(355\) | 0.448649 | + | 0.777083i | 0.0238118 | + | 0.0412433i | ||||
\(356\) | 38.7991 | − | 38.7991i | 2.05635 | − | 2.05635i | ||||
\(357\) | −26.3529 | − | 12.6407i | −1.39474 | − | 0.669015i | ||||
\(358\) | −26.9528 | − | 7.22197i | −1.42450 | − | 0.381693i | ||||
\(359\) | 21.7659 | − | 21.7659i | 1.14876 | − | 1.14876i | 0.161963 | − | 0.986797i | \(-0.448218\pi\) |
0.986797 | − | 0.161963i | \(-0.0517824\pi\) | |||||||
\(360\) | −9.80258 | + | 5.65952i | −0.516641 | + | 0.298283i | ||||
\(361\) | −15.8927 | − | 9.17563i | −0.836456 | − | 0.482928i | ||||
\(362\) | −51.5127 | + | 13.8028i | −2.70745 | + | 0.725458i | ||||
\(363\) | −5.88111 | −0.308678 | ||||||||
\(364\) | 16.0530 | + | 40.7552i | 0.841407 | + | 2.13615i | ||||
\(365\) | 1.97280 | 0.103261 | ||||||||
\(366\) | 18.5580 | − | 4.97261i | 0.970044 | − | 0.259923i | ||||
\(367\) | −21.5968 | − | 12.4689i | −1.12734 | − | 0.650873i | −0.184079 | − | 0.982912i | \(-0.558930\pi\) |
−0.943266 | + | 0.332039i | \(0.892263\pi\) | |||||||
\(368\) | −34.8548 | + | 20.1235i | −1.81693 | + | 1.04901i | ||||
\(369\) | 6.74858 | − | 6.74858i | 0.351317 | − | 0.351317i | ||||
\(370\) | −1.77043 | − | 0.474385i | −0.0920403 | − | 0.0246621i | ||||
\(371\) | 10.4053 | − | 21.6926i | 0.540214 | − | 1.12622i | ||||
\(372\) | 54.9926 | − | 54.9926i | 2.85123 | − | 2.85123i | ||||
\(373\) | −9.09462 | − | 15.7523i | −0.470902 | − | 0.815626i | 0.528544 | − | 0.848906i | \(-0.322738\pi\) |
−0.999446 | + | 0.0332801i | \(0.989405\pi\) | |||||||
\(374\) | −19.0954 | + | 33.0741i | −0.987398 | + | 1.71022i | ||||
\(375\) | 2.73588 | + | 10.2104i | 0.141280 | + | 0.527265i | ||||
\(376\) | 56.4582 | 2.91161 | ||||||||
\(377\) | −1.61868 | + | 7.08146i | −0.0833665 | + | 0.364714i | ||||
\(378\) | −22.8618 | − | 4.28904i | −1.17589 | − | 0.220604i | ||||
\(379\) | −0.810924 | + | 0.217286i | −0.0416544 | + | 0.0111613i | −0.279586 | − | 0.960121i | \(-0.590197\pi\) |
0.237932 | + | 0.971282i | \(0.423531\pi\) | |||||||
\(380\) | −0.736658 | + | 1.27593i | −0.0377898 | + | 0.0654538i | ||||
\(381\) | 16.9573 | + | 29.3709i | 0.868748 | + | 1.50472i | ||||
\(382\) | 2.69484 | + | 2.69484i | 0.137880 | + | 0.137880i | ||||
\(383\) | −5.60755 | − | 1.50254i | −0.286532 | − | 0.0767761i | 0.112690 | − | 0.993630i | \(-0.464053\pi\) |
−0.399223 | + | 0.916854i | \(0.630720\pi\) | |||||||
\(384\) | 5.95624 | − | 22.2290i | 0.303953 | − | 1.13437i | ||||
\(385\) | 3.15830 | − | 2.16046i | 0.160962 | − | 0.110107i | ||||
\(386\) | 9.42582 | + | 16.3260i | 0.479761 | + | 0.830971i | ||||
\(387\) | −11.3196 | − | 6.53537i | −0.575407 | − | 0.332211i | ||||
\(388\) | 35.4474 | − | 9.49811i | 1.79957 | − | 0.482194i | ||||
\(389\) | 8.72624i | 0.442438i | 0.975224 | + | 0.221219i | \(0.0710036\pi\) | ||||
−0.975224 | + | 0.221219i | \(0.928996\pi\) | |||||||
\(390\) | 6.76535 | − | 7.28663i | 0.342577 | − | 0.368973i | ||||
\(391\) | 20.8706i | 1.05547i | ||||||||
\(392\) | 46.3029 | + | 5.07194i | 2.33865 | + | 0.256172i | ||||
\(393\) | −15.8697 | + | 27.4872i | −0.800522 | + | 1.38654i | ||||
\(394\) | −40.1491 | + | 23.1801i | −2.02268 | + | 1.16780i | ||||
\(395\) | −1.01961 | + | 1.01961i | −0.0513022 | + | 0.0513022i | ||||
\(396\) | −18.4240 | + | 68.7592i | −0.925839 | + | 3.45528i | ||||
\(397\) | −0.0550441 | + | 0.205427i | −0.00276258 | + | 0.0103101i | −0.967293 | − | 0.253660i | \(-0.918365\pi\) |
0.964531 | + | 0.263970i | \(0.0850321\pi\) | |||||||
\(398\) | 5.92117 | + | 5.92117i | 0.296801 | + | 0.296801i | ||||
\(399\) | −5.42041 | + | 1.90611i | −0.271360 | + | 0.0954248i | ||||
\(400\) | 33.1261 | + | 19.1254i | 1.65631 | + | 0.956269i | ||||
\(401\) | −1.81652 | − | 6.77934i | −0.0907126 | − | 0.338544i | 0.905622 | − | 0.424086i | \(-0.139405\pi\) |
−0.996335 | + | 0.0855419i | \(0.972738\pi\) | |||||||
\(402\) | 34.8204 | 1.73668 | ||||||||
\(403\) | −10.5894 | + | 20.0206i | −0.527496 | + | 0.997298i | ||||
\(404\) | − | 20.6743i | − | 1.02858i | ||||||
\(405\) | −0.368813 | − | 1.37643i | −0.0183265 | − | 0.0683953i | ||||
\(406\) | 10.3870 | + | 8.91081i | 0.515500 | + | 0.442236i | ||||
\(407\) | −5.63456 | + | 3.25312i | −0.279295 | + | 0.161251i | ||||
\(408\) | 51.9795 | + | 51.9795i | 2.57337 | + | 2.57337i | ||||
\(409\) | 10.3417 | + | 2.77106i | 0.511366 | + | 0.137020i | 0.505270 | − | 0.862961i | \(-0.331393\pi\) |
0.00609589 | + | 0.999981i | \(0.498060\pi\) | |||||||
\(410\) | 2.20813 | + | 0.591668i | 0.109052 | + | 0.0292204i | ||||
\(411\) | −24.8252 | − | 24.8252i | −1.22454 | − | 1.22454i | ||||
\(412\) | −64.0235 | + | 36.9640i | −3.15421 | + | 1.82108i | ||||
\(413\) | 14.9210 | + | 12.8004i | 0.734214 | + | 0.629867i | ||||
\(414\) | 14.4538 | + | 53.9421i | 0.710363 | + | 2.65111i | ||||
\(415\) | 3.02404i | 0.148444i | ||||||||
\(416\) | −0.932509 | − | 25.1374i | −0.0457200 | − | 1.23246i | ||||
\(417\) | −23.3438 | −1.14315 | ||||||||
\(418\) | 1.94316 | + | 7.25197i | 0.0950430 | + | 0.354705i | ||||
\(419\) | 0.903448 | + | 0.521606i | 0.0441363 | + | 0.0254821i | 0.521906 | − | 0.853003i | \(-0.325221\pi\) |
−0.477769 | + | 0.878485i | \(0.658555\pi\) | |||||||
\(420\) | −4.32889 | − | 12.3101i | −0.211228 | − | 0.600671i | ||||
\(421\) | −22.9876 | − | 22.9876i | −1.12035 | − | 1.12035i | −0.991689 | − | 0.128658i | \(-0.958933\pi\) |
−0.128658 | − | 0.991689i | \(-0.541067\pi\) | |||||||
\(422\) | −1.47392 | + | 5.50074i | −0.0717492 | + | 0.267772i | ||||
\(423\) | 9.37671 | − | 34.9944i | 0.455911 | − | 1.70148i | ||||
\(424\) | −42.7873 | + | 42.7873i | −2.07794 | + | 2.07794i | ||||
\(425\) | 17.1780 | − | 9.91772i | 0.833255 | − | 0.481080i | ||||
\(426\) | 7.79641 | − | 13.5038i | 0.377737 | − | 0.654260i | ||||
\(427\) | 0.560073 | + | 7.32152i | 0.0271038 | + | 0.354313i | ||||
\(428\) | − | 49.6684i | − | 2.40081i | ||||||
\(429\) | −1.30843 | − | 35.2710i | −0.0631716 | − | 1.70290i | ||||
\(430\) | − | 3.13079i | − | 0.150980i | ||||||
\(431\) | 7.90477 | − | 2.11808i | 0.380760 | − | 0.102024i | −0.0633623 | − | 0.997991i | \(-0.520182\pi\) |
0.444122 | + | 0.895966i | \(0.353516\pi\) | |||||||
\(432\) | 23.4304 | + | 13.5276i | 1.12730 | + | 0.650845i | ||||
\(433\) | 9.95068 | + | 17.2351i | 0.478199 | + | 0.828266i | 0.999688 | − | 0.0249929i | \(-0.00795632\pi\) |
−0.521488 | + | 0.853258i | \(0.674623\pi\) | |||||||
\(434\) | 24.0913 | + | 35.2182i | 1.15642 | + | 1.69053i | ||||
\(435\) | 0.560086 | − | 2.09027i | 0.0268541 | − | 0.100221i | ||||
\(436\) | 14.7896 | + | 3.96285i | 0.708292 | + | 0.189786i | ||||
\(437\) | 2.90117 | + | 2.90117i | 0.138782 | + | 0.138782i | ||||
\(438\) | −17.1412 | − | 29.6894i | −0.819036 | − | 1.41861i | ||||
\(439\) | −3.63272 | + | 6.29205i | −0.173380 | + | 0.300303i | −0.939599 | − | 0.342276i | \(-0.888802\pi\) |
0.766219 | + | 0.642579i | \(0.222136\pi\) | |||||||
\(440\) | −9.29613 | + | 2.49089i | −0.443176 | + | 0.118749i | ||||
\(441\) | 10.8338 | − | 27.8575i | 0.515897 | − | 1.32655i | ||||
\(442\) | −33.5265 | − | 17.7330i | −1.59469 | − | 0.843473i | ||||
\(443\) | 26.5617 | 1.26198 | 0.630992 | − | 0.775789i | \(-0.282648\pi\) | ||||
0.630992 | + | 0.775789i | \(0.282648\pi\) | |||||||
\(444\) | 5.74246 | + | 21.4311i | 0.272525 | + | 1.01708i | ||||
\(445\) | 2.38016 | − | 4.12255i | 0.112830 | − | 0.195428i | ||||
\(446\) | 6.98325 | + | 12.0954i | 0.330667 | + | 0.572731i | ||||
\(447\) | −35.6153 | + | 35.6153i | −1.68455 | + | 1.68455i | ||||
\(448\) | −5.03427 | − | 2.41478i | −0.237847 | − | 0.114088i | ||||
\(449\) | 19.1518 | + | 5.13170i | 0.903828 | + | 0.242180i | 0.680659 | − | 0.732600i | \(-0.261693\pi\) |
0.223168 | + | 0.974780i | \(0.428360\pi\) | |||||||
\(450\) | 37.5299 | − | 37.5299i | 1.76918 | − | 1.76918i | ||||
\(451\) | 7.02760 | − | 4.05739i | 0.330917 | − | 0.191055i | ||||
\(452\) | 30.3838 | + | 17.5421i | 1.42913 | + | 0.825111i | ||||
\(453\) | 36.6474 | − | 9.81963i | 1.72184 | − | 0.461366i | ||||
\(454\) | −0.890238 | −0.0417809 | ||||||||
\(455\) | 2.26036 | + | 3.05483i | 0.105967 | + | 0.143212i | ||||
\(456\) | 14.4511 | 0.676735 | ||||||||
\(457\) | 24.2444 | − | 6.49628i | 1.13411 | − | 0.303883i | 0.357528 | − | 0.933903i | \(-0.383620\pi\) |
0.776579 | + | 0.630019i | \(0.216953\pi\) | |||||||
\(458\) | 58.9477 | + | 34.0335i | 2.75445 | + | 1.59028i | ||||
\(459\) | 12.1502 | − | 7.01490i | 0.567121 | − | 0.327427i | ||||
\(460\) | −6.58874 | + | 6.58874i | −0.307201 | + | 0.307201i | ||||
\(461\) | −32.6719 | − | 8.75440i | −1.52168 | − | 0.407733i | −0.601386 | − | 0.798959i | \(-0.705385\pi\) |
−0.920295 | + | 0.391226i | \(0.872051\pi\) | |||||||
\(462\) | −59.9554 | − | 28.7587i | −2.78938 | − | 1.33798i | ||||
\(463\) | 13.6651 | − | 13.6651i | 0.635073 | − | 0.635073i | −0.314263 | − | 0.949336i | \(-0.601757\pi\) |
0.949336 | + | 0.314263i | \(0.101757\pi\) | |||||||
\(464\) | −7.95899 | − | 13.7854i | −0.369487 | − | 0.639970i | ||||
\(465\) | 3.37356 | − | 5.84318i | 0.156445 | − | 0.270971i | ||||
\(466\) | −14.5038 | − | 54.1291i | −0.671877 | − | 2.50748i | ||||
\(467\) | 15.1526 | 0.701178 | 0.350589 | − | 0.936529i | \(-0.385981\pi\) | ||||
0.350589 | + | 0.936529i | \(0.385981\pi\) | |||||||
\(468\) | −68.9163 | − | 15.7529i | −3.18566 | − | 0.728180i | ||||
\(469\) | −2.45387 | + | 13.0799i | −0.113309 | + | 0.603972i | ||||
\(470\) | 8.38209 | − | 2.24597i | 0.386637 | − | 0.103599i | ||||
\(471\) | −18.8877 | + | 32.7145i | −0.870299 | + | 1.50740i | ||||
\(472\) | −24.7223 | − | 42.8203i | −1.13794 | − | 1.97096i | ||||
\(473\) | −7.85840 | − | 7.85840i | −0.361329 | − | 0.361329i | ||||
\(474\) | 24.2037 | + | 6.48536i | 1.11171 | + | 0.297882i | ||||
\(475\) | 1.00923 | − | 3.76652i | 0.0463069 | − | 0.172820i | ||||
\(476\) | −41.0824 | + | 28.1028i | −1.88301 | + | 1.28809i | ||||
\(477\) | 19.4146 | + | 33.6270i | 0.888932 | + | 1.53968i | ||||
\(478\) | −6.35787 | − | 3.67072i | −0.290802 | − | 0.167895i | ||||
\(479\) | −24.2829 | + | 6.50658i | −1.10951 | + | 0.297293i | −0.766633 | − | 0.642086i | \(-0.778069\pi\) |
−0.342881 | + | 0.939379i | \(0.611403\pi\) | |||||||
\(480\) | 7.49368i | 0.342038i | ||||||||
\(481\) | −3.43590 | − | 5.47209i | −0.156664 | − | 0.249506i | ||||
\(482\) | − | 77.4746i | − | 3.52887i | ||||||
\(483\) | −36.2330 | + | 2.77171i | −1.64866 | + | 0.126117i | ||||
\(484\) | −5.00776 | + | 8.67369i | −0.227625 | + | 0.394259i | ||||
\(485\) | 2.75722 | − | 1.59188i | 0.125199 | − | 0.0722836i | ||||
\(486\) | −36.1599 | + | 36.1599i | −1.64025 | + | 1.64025i | ||||
\(487\) | −6.68642 | + | 24.9540i | −0.302990 | + | 1.13078i | 0.631671 | + | 0.775237i | \(0.282369\pi\) |
−0.934661 | + | 0.355539i | \(0.884297\pi\) | |||||||
\(488\) | 4.77987 | − | 17.8387i | 0.216375 | − | 0.807521i | ||||
\(489\) | −18.0704 | − | 18.0704i | −0.817172 | − | 0.817172i | ||||
\(490\) | 7.07616 | − | 1.08898i | 0.319668 | − | 0.0491951i | ||||
\(491\) | −31.2520 | − | 18.0433i | −1.41038 | − | 0.814284i | −0.414958 | − | 0.909841i | \(-0.636204\pi\) |
−0.995424 | + | 0.0955563i | \(0.969537\pi\) | |||||||
\(492\) | −7.16217 | − | 26.7296i | −0.322895 | − | 1.20506i | ||||
\(493\) | −8.25448 | −0.371763 | ||||||||
\(494\) | −7.12547 | + | 2.19542i | −0.320590 | + | 0.0987764i | ||||
\(495\) | 6.17570i | 0.277577i | ||||||||
\(496\) | −12.8453 | − | 47.9393i | −0.576771 | − | 2.15254i | ||||
\(497\) | 4.52309 | + | 3.88026i | 0.202888 | + | 0.174054i | ||||
\(498\) | 45.5099 | − | 26.2752i | 2.03935 | − | 1.17742i | ||||
\(499\) | 19.9711 | + | 19.9711i | 0.894029 | + | 0.894029i | 0.994900 | − | 0.100871i | \(-0.0321628\pi\) |
−0.100871 | + | 0.994900i | \(0.532163\pi\) | |||||||
\(500\) | 17.3884 | + | 4.65920i | 0.777632 | + | 0.208366i | ||||
\(501\) | 25.3783 | + | 6.80010i | 1.13382 | + | 0.303806i | ||||
\(502\) | 30.2801 | + | 30.2801i | 1.35147 | + | 1.35147i | ||||
\(503\) | −23.3796 | + | 13.4982i | −1.04244 | + | 0.601855i | −0.920525 | − | 0.390685i | \(-0.872238\pi\) |
−0.121920 | + | 0.992540i | \(0.538905\pi\) | |||||||
\(504\) | −48.9479 | + | 57.0569i | −2.18031 | + | 2.54152i | ||||
\(505\) | −0.464223 | − | 1.73250i | −0.0206576 | − | 0.0770954i | ||||
\(506\) | 47.4825i | 2.11085i | ||||||||
\(507\) | 34.9555 | − | 2.59703i | 1.55243 | − | 0.115338i | ||||
\(508\) | 57.7565 | 2.56253 | ||||||||
\(509\) | 1.30100 | + | 4.85539i | 0.0576658 | + | 0.215212i | 0.988746 | − | 0.149602i | \(-0.0477993\pi\) |
−0.931081 | + | 0.364814i | \(0.881133\pi\) | |||||||
\(510\) | 9.78497 | + | 5.64936i | 0.433286 | + | 0.250158i | ||||
\(511\) | 12.3604 | − | 4.34659i | 0.546792 | − | 0.192282i | ||||
\(512\) | −35.3750 | − | 35.3750i | −1.56337 | − | 1.56337i | ||||
\(513\) | 0.713841 | − | 2.66409i | 0.0315169 | − | 0.117623i | ||||
\(514\) | 8.11452 | − | 30.2838i | 0.357916 | − | 1.33576i | ||||
\(515\) | −4.53516 | + | 4.53516i | −0.199843 | + | 0.199843i | ||||
\(516\) | −32.8210 | + | 18.9492i | −1.44486 | + | 0.834191i | ||||
\(517\) | 15.4019 | − | 26.6768i | 0.677373 | − | 1.17325i | ||||
\(518\) | −12.1377 | + | 0.928495i | −0.533300 | + | 0.0407957i | ||||
\(519\) | 45.8549i | 2.01281i | ||||||||
\(520\) | −2.81425 | − | 9.13397i | −0.123413 | − | 0.400551i | ||||
\(521\) | − | 28.5686i | − | 1.25161i | −0.779979 | − | 0.625806i | \(-0.784770\pi\) | ||
0.779979 | − | 0.625806i | \(-0.215230\pi\) | |||||||
\(522\) | −21.3346 | + | 5.71658i | −0.933789 | + | 0.250208i | ||||
\(523\) | −15.9700 | − | 9.22026i | −0.698318 | − | 0.403174i | 0.108403 | − | 0.994107i | \(-0.465426\pi\) |
−0.806720 | + | 0.590933i | \(0.798760\pi\) | |||||||
\(524\) | 27.0261 | + | 46.8106i | 1.18064 | + | 2.04493i | ||||
\(525\) | 19.4993 | + | 28.5053i | 0.851018 | + | 1.24407i | ||||
\(526\) | 9.70594 | − | 36.2230i | 0.423199 | − | 1.57940i | ||||
\(527\) | −24.8596 | − | 6.66110i | −1.08290 | − | 0.290162i | ||||
\(528\) | 54.6899 | + | 54.6899i | 2.38007 | + | 2.38007i | ||||
\(529\) | 1.47417 | + | 2.55334i | 0.0640944 | + | 0.111015i | ||||
\(530\) | −4.65031 | + | 8.05458i | −0.201997 | + | 0.349868i | ||||
\(531\) | −30.6472 | + | 8.21188i | −1.32997 | + | 0.356365i | ||||
\(532\) | −1.80427 | + | 9.61729i | −0.0782250 | + | 0.416962i | ||||
\(533\) | 4.28536 | + | 6.82496i | 0.185620 | + | 0.295622i | ||||
\(534\) | −82.7225 | −3.57975 | ||||||||
\(535\) | −1.11526 | − | 4.16220i | −0.0482169 | − | 0.179948i | ||||
\(536\) | 16.7354 | − | 28.9865i | 0.722859 | − | 1.25203i | ||||
\(537\) | 14.6519 | + | 25.3779i | 0.632278 | + | 1.09514i | ||||
\(538\) | 9.04840 | − | 9.04840i | 0.390104 | − | 0.390104i | ||||
\(539\) | 15.0280 | − | 20.4948i | 0.647303 | − | 0.882773i | ||||
\(540\) | 6.05032 | + | 1.62118i | 0.260364 | + | 0.0697644i | ||||
\(541\) | −4.67673 | + | 4.67673i | −0.201068 | + | 0.201068i | −0.800458 | − | 0.599389i | \(-0.795410\pi\) |
0.599389 | + | 0.800458i | \(0.295410\pi\) | |||||||
\(542\) | 58.9092 | − | 34.0113i | 2.53037 | − | 1.46091i | ||||
\(543\) | 48.5028 | + | 28.0031i | 2.08145 | + | 1.20173i | ||||
\(544\) | 27.6103 | − | 7.39814i | 1.18378 | − | 0.317193i | ||||
\(545\) | 1.32835 | 0.0569001 | ||||||||
\(546\) | 26.3335 | − | 60.5597i | 1.12697 | − | 2.59172i | ||||
\(547\) | 33.8006 | 1.44521 | 0.722605 | − | 0.691261i | \(-0.242944\pi\) | ||||
0.722605 | + | 0.691261i | \(0.242944\pi\) | |||||||
\(548\) | −57.7518 | + | 15.4745i | −2.46703 | + | 0.661040i | ||||
\(549\) | −10.2631 | − | 5.92540i | −0.438018 | − | 0.252890i | ||||
\(550\) | 39.0816 | − | 22.5637i | 1.66644 | − | 0.962121i | ||||
\(551\) | −1.14744 | + | 1.14744i | −0.0488825 | + | 0.0488825i | ||||
\(552\) | 88.2808 | + | 23.6548i | 3.75748 | + | 1.00681i | ||||
\(553\) | −4.14183 | + | 8.63478i | −0.176129 | + | 0.367188i | ||||
\(554\) | −37.0797 | + | 37.0797i | −1.57536 | + | 1.57536i | ||||
\(555\) | 0.962433 | + | 1.66698i | 0.0408530 | + | 0.0707595i | ||||
\(556\) | −19.8772 | + | 34.4283i | −0.842981 | + | 1.46009i | ||||
\(557\) | 6.41622 | + | 23.9457i | 0.271864 | + | 1.01461i | 0.957914 | + | 0.287056i | \(0.0926765\pi\) |
−0.686050 | + | 0.727555i | \(0.740657\pi\) | |||||||
\(558\) | −68.8653 | −2.91530 | ||||||||
\(559\) | 7.50953 | − | 8.08815i | 0.317619 | − | 0.342092i | ||||
\(560\) | −8.18458 | − | 1.53548i | −0.345862 | − | 0.0648860i | ||||
\(561\) | 38.7407 | − | 10.3805i | 1.63563 | − | 0.438267i | ||||
\(562\) | 7.02090 | − | 12.1606i | 0.296159 | − | 0.512962i | ||||
\(563\) | −2.10194 | − | 3.64067i | −0.0885863 | − | 0.153436i | 0.818327 | − | 0.574752i | \(-0.194902\pi\) |
−0.906914 | + | 0.421316i | \(0.861568\pi\) | |||||||
\(564\) | −74.2780 | − | 74.2780i | −3.12767 | − | 3.12767i | ||||
\(565\) | 2.94005 | + | 0.787784i | 0.123689 | + | 0.0331423i | ||||
\(566\) | −16.6378 | + | 62.0931i | −0.699338 | + | 2.60997i | ||||
\(567\) | −5.34341 | − | 7.81132i | −0.224402 | − | 0.328045i | ||||
\(568\) | −7.49422 | − | 12.9804i | −0.314450 | − | 0.544644i | ||||
\(569\) | −0.733859 | − | 0.423694i | −0.0307650 | − | 0.0177622i | 0.484539 | − | 0.874770i | \(-0.338988\pi\) |
−0.515304 | + | 0.857008i | \(0.672321\pi\) | |||||||
\(570\) | 2.14549 | − | 0.574883i | 0.0898648 | − | 0.0240792i | ||||
\(571\) | − | 17.8746i | − | 0.748028i | −0.927423 | − | 0.374014i | \(-0.877981\pi\) | ||
0.927423 | − | 0.374014i | \(-0.122019\pi\) | |||||||
\(572\) | −53.1332 | − | 28.1035i | −2.22161 | − | 1.17507i | ||||
\(573\) | − | 4.00234i | − | 0.167200i | ||||||
\(574\) | 15.1385 | − | 1.15805i | 0.631869 | − | 0.0483360i | ||||
\(575\) | 12.3307 | − | 21.3574i | 0.514225 | − | 0.890664i | ||||
\(576\) | 7.80393 | − | 4.50560i | 0.325164 | − | 0.187733i | ||||
\(577\) | 6.04475 | − | 6.04475i | 0.251646 | − | 0.251646i | −0.569999 | − | 0.821645i | \(-0.693056\pi\) |
0.821645 | + | 0.569999i | \(0.193056\pi\) | |||||||
\(578\) | −0.141910 | + | 0.529615i | −0.00590268 | + | 0.0220291i | ||||
\(579\) | 5.12402 | − | 19.1231i | 0.212947 | − | 0.794729i | ||||
\(580\) | −2.60590 | − | 2.60590i | −0.108204 | − | 0.108204i | ||||
\(581\) | 6.66275 | + | 18.9469i | 0.276418 | + | 0.786050i | ||||
\(582\) | −47.9136 | − | 27.6629i | −1.98608 | − | 1.14667i | ||||
\(583\) | 8.54482 | + | 31.8897i | 0.353890 | + | 1.32074i | ||||
\(584\) | −32.9535 | −1.36363 | ||||||||
\(585\) | −6.12889 | + | 0.227360i | −0.253399 | + | 0.00940020i | ||||
\(586\) | 47.3861i | 1.95750i | ||||||||
\(587\) | 10.7910 | + | 40.2727i | 0.445394 | + | 1.66223i | 0.714895 | + | 0.699231i | \(0.246474\pi\) |
−0.269502 | + | 0.963000i | \(0.586859\pi\) | |||||||
\(588\) | −54.2447 | − | 67.5903i | −2.23701 | − | 2.78738i | ||||
\(589\) | −4.38162 | + | 2.52973i | −0.180541 | + | 0.104236i | ||||
\(590\) | −5.37385 | − | 5.37385i | −0.221238 | − | 0.221238i | ||||
\(591\) | 47.0278 | + | 12.6011i | 1.93446 | + | 0.518338i | ||||
\(592\) | 13.6765 | + | 3.66460i | 0.562100 | + | 0.150614i | ||||
\(593\) | 6.50540 | + | 6.50540i | 0.267145 | + | 0.267145i | 0.827949 | − | 0.560804i | \(-0.189508\pi\) |
−0.560804 | + | 0.827949i | \(0.689508\pi\) | |||||||
\(594\) | 27.6427 | − | 15.9595i | 1.13420 | − | 0.654828i | ||||
\(595\) | −2.81168 | + | 3.27748i | −0.115268 | + | 0.134364i | ||||
\(596\) | 22.2005 | + | 82.8534i | 0.909368 | + | 3.39381i | ||||
\(597\) | − | 8.79403i | − | 0.359916i | ||||||
\(598\) | −47.1226 | + | 1.74808i | −1.92699 | + | 0.0714845i | ||||
\(599\) | −41.5746 | −1.69869 | −0.849345 | − | 0.527838i | \(-0.823003\pi\) | ||||
−0.849345 | + | 0.527838i | \(0.823003\pi\) | |||||||
\(600\) | −22.4816 | − | 83.9023i | −0.917806 | − | 3.42530i | ||||
\(601\) | −22.6812 | − | 13.0950i | −0.925184 | − | 0.534155i | −0.0398987 | − | 0.999204i | \(-0.512704\pi\) |
−0.885285 | + | 0.465049i | \(0.846037\pi\) | |||||||
\(602\) | −6.89795 | − | 19.6157i | −0.281140 | − | 0.799478i | ||||
\(603\) | −15.1872 | − | 15.1872i | −0.618472 | − | 0.618472i | ||||
\(604\) | 16.7228 | − | 62.4104i | 0.680442 | − | 2.53944i | ||||
\(605\) | −0.224889 | + | 0.839298i | −0.00914305 | + | 0.0341223i | ||||
\(606\) | −22.0396 | + | 22.0396i | −0.895296 | + | 0.895296i | ||||
\(607\) | 16.5683 | − | 9.56570i | 0.672486 | − | 0.388260i | −0.124532 | − | 0.992216i | \(-0.539743\pi\) |
0.797018 | + | 0.603956i | \(0.206410\pi\) | |||||||
\(608\) | 2.80964 | − | 4.86644i | 0.113946 | − | 0.197360i | ||||
\(609\) | −1.09623 | − | 14.3304i | −0.0444216 | − | 0.580699i | ||||
\(610\) | − | 2.83859i | − | 0.114931i | ||||||
\(611\) | 27.0417 | + | 14.3030i | 1.09399 | + | 0.578638i | ||||
\(612\) | − | 80.3321i | − | 3.24723i | ||||||
\(613\) | −10.7855 | + | 2.88996i | −0.435622 | + | 0.116725i | −0.469964 | − | 0.882686i | \(-0.655733\pi\) |
0.0343420 | + | 0.999410i | \(0.489066\pi\) | |||||||
\(614\) | −46.1284 | − | 26.6322i | −1.86159 | − | 1.07479i | ||||
\(615\) | −1.20038 | − | 2.07911i | −0.0484039 | − | 0.0838379i | ||||
\(616\) | −52.7561 | + | 36.0883i | −2.12561 | + | 1.45404i | ||||
\(617\) | −2.84075 | + | 10.6018i | −0.114364 | + | 0.426814i | −0.999239 | − | 0.0390163i | \(-0.987578\pi\) |
0.884874 | + | 0.465830i | \(0.154244\pi\) | |||||||
\(618\) | 107.656 | + | 28.8464i | 4.33057 | + | 1.16037i | ||||
\(619\) | 18.7983 | + | 18.7983i | 0.755567 | + | 0.755567i | 0.975512 | − | 0.219945i | \(-0.0705878\pi\) |
−0.219945 | + | 0.975512i | \(0.570588\pi\) | |||||||
\(620\) | −5.74517 | − | 9.95093i | −0.230732 | − | 0.399639i | ||||
\(621\) | 8.72161 | − | 15.1063i | 0.349986 | − | 0.606194i | ||||
\(622\) | 14.5363 | − | 3.89498i | 0.582851 | − | 0.156175i | ||||
\(623\) | 5.82964 | − | 31.0737i | 0.233559 | − | 1.24494i | ||||
\(624\) | −52.2620 | + | 56.2888i | −2.09215 | + | 2.25336i | ||||
\(625\) | −22.6448 | −0.905791 | ||||||||
\(626\) | 13.5610 | + | 50.6102i | 0.542005 | + | 2.02279i | ||||
\(627\) | 3.94228 | − | 6.82824i | 0.157440 | − | 0.272694i | ||||
\(628\) | 32.1657 | + | 55.7127i | 1.28355 | + | 2.22318i | ||||
\(629\) | 5.19179 | − | 5.19179i | 0.207010 | − | 0.207010i | ||||
\(630\) | −4.99728 | + | 10.4182i | −0.199096 | + | 0.415071i | ||||
\(631\) | −34.9180 | − | 9.35626i | −1.39007 | − | 0.372467i | −0.515298 | − | 0.857011i | \(-0.672319\pi\) |
−0.874767 | + | 0.484544i | \(0.838986\pi\) | |||||||
\(632\) | 17.0316 | − | 17.0316i | 0.677479 | − | 0.677479i | ||||
\(633\) | 5.17933 | − | 2.99029i | 0.205860 | − | 0.118853i | ||||
\(634\) | 17.0551 | + | 9.84677i | 0.677345 | + | 0.391065i | ||||
\(635\) | 4.83998 | − | 1.29687i | 0.192069 | − | 0.0514647i | ||||
\(636\) | 112.584 | 4.46427 | ||||||||
\(637\) | 20.8927 | + | 14.1596i | 0.827799 | + | 0.561024i | ||||
\(638\) | −18.7797 | −0.743496 | ||||||||
\(639\) | −9.29025 | + | 2.48932i | −0.367517 | + | 0.0984758i | ||||
\(640\) | −2.94456 | − | 1.70004i | −0.116394 | − | 0.0672000i | ||||
\(641\) | 21.5157 | − | 12.4221i | 0.849819 | − | 0.490643i | −0.0107708 | − | 0.999942i | \(-0.503429\pi\) |
0.860590 | + | 0.509299i | \(0.170095\pi\) | |||||||
\(642\) | −52.9484 | + | 52.9484i | −2.08971 | + | 2.08971i | ||||
\(643\) | 28.7931 | + | 7.71509i | 1.13549 | + | 0.304253i | 0.777136 | − | 0.629333i | \(-0.216672\pi\) |
0.358353 | + | 0.933586i | \(0.383338\pi\) | |||||||
\(644\) | −26.7645 | + | 55.7980i | −1.05467 | + | 2.19875i | ||||
\(645\) | −2.32490 | + | 2.32490i | −0.0915430 | + | 0.0915430i | ||||
\(646\) | −4.23628 | − | 7.33745i | −0.166674 | − | 0.288688i | ||||
\(647\) | 6.87674 | − | 11.9109i | 0.270352 | − | 0.468264i | −0.698600 | − | 0.715513i | \(-0.746193\pi\) |
0.968952 | + | 0.247249i | \(0.0795264\pi\) | |||||||
\(648\) | 6.16064 | + | 22.9918i | 0.242013 | + | 0.903205i | ||||
\(649\) | −26.9771 | −1.05894 | ||||||||
\(650\) | 23.8315 | + | 37.9547i | 0.934750 | + | 1.48870i | ||||
\(651\) | 8.26275 | − | 44.0429i | 0.323843 | − | 1.72618i | ||||
\(652\) | −42.0379 | + | 11.2640i | −1.64633 | + | 0.441133i | ||||
\(653\) | −0.855193 | + | 1.48124i | −0.0334663 | + | 0.0579653i | −0.882273 | − | 0.470737i | \(-0.843988\pi\) |
0.848807 | + | 0.528703i | \(0.177321\pi\) | |||||||
\(654\) | −11.5417 | − | 19.9908i | −0.451315 | − | 0.781701i | ||||
\(655\) | 3.31587 | + | 3.31587i | 0.129562 | + | 0.129562i | ||||
\(656\) | −17.0577 | − | 4.57060i | −0.665992 | − | 0.178452i | ||||
\(657\) | −5.47300 | + | 20.4255i | −0.213522 | + | 0.796876i | ||||
\(658\) | 47.5689 | − | 32.5399i | 1.85443 | − | 1.26854i | ||||
\(659\) | −4.73353 | − | 8.19872i | −0.184392 | − | 0.319377i | 0.758979 | − | 0.651115i | \(-0.225698\pi\) |
−0.943372 | + | 0.331738i | \(0.892365\pi\) | |||||||
\(660\) | 15.5073 | + | 8.95317i | 0.603623 | + | 0.348502i | ||||
\(661\) | −8.52858 | + | 2.28523i | −0.331723 | + | 0.0888850i | −0.420836 | − | 0.907137i | \(-0.638263\pi\) |
0.0891132 | + | 0.996022i | \(0.471597\pi\) | |||||||
\(662\) | 64.7224i | 2.51551i | ||||||||
\(663\) | 11.7281 | + | 38.0649i | 0.455482 | + | 1.47832i | ||||
\(664\) | − | 50.5135i | − | 1.96030i | ||||||
\(665\) | 0.0647500 | + | 0.846440i | 0.00251090 | + | 0.0328236i | ||||
\(666\) | 9.82318 | − | 17.0143i | 0.380641 | − | 0.659289i | ||||
\(667\) | −8.88783 | + | 5.13139i | −0.344138 | + | 0.198688i | ||||
\(668\) | 31.6387 | − | 31.6387i | 1.22414 | − | 1.22414i | ||||
\(669\) | 3.79621 | − | 14.1676i | 0.146770 | − | 0.547752i | ||||
\(670\) | 1.33151 | − | 4.96926i | 0.0514407 | − | 0.191979i | ||||
\(671\) | −7.12495 | − | 7.12495i | −0.275056 | − | 0.275056i | ||||
\(672\) | 16.5105 | + | 46.9511i | 0.636908 | + | 1.81118i | ||||
\(673\) | 15.2065 | + | 8.77951i | 0.586169 | + | 0.338425i | 0.763581 | − | 0.645712i | \(-0.223439\pi\) |
−0.177412 | + | 0.984137i | \(0.556773\pi\) | |||||||
\(674\) | −20.0219 | − | 74.7228i | −0.771216 | − | 2.87822i | ||||
\(675\) | −16.5781 | −0.638091 | ||||||||
\(676\) | 25.9344 | − | 53.7651i | 0.997476 | − | 2.06789i | ||||
\(677\) | − | 23.4987i | − | 0.903127i | −0.892239 | − | 0.451564i | \(-0.850866\pi\) | ||
0.892239 | − | 0.451564i | \(-0.149134\pi\) | |||||||
\(678\) | −13.6897 | − | 51.0908i | −0.525751 | − | 1.96213i | ||||
\(679\) | 13.7678 | − | 16.0487i | 0.528360 | − | 0.615892i | ||||
\(680\) | 9.40571 | − | 5.43039i | 0.360692 | − | 0.208246i | ||||
\(681\) | 0.661084 | + | 0.661084i | 0.0253328 | + | 0.0253328i | ||||
\(682\) | −56.5579 | − | 15.1546i | −2.16571 | − | 0.580301i | ||||
\(683\) | −33.6607 | − | 9.01937i | −1.28799 | − | 0.345117i | −0.451095 | − | 0.892476i | \(-0.648966\pi\) |
−0.836898 | + | 0.547359i | \(0.815633\pi\) | |||||||
\(684\) | −11.1668 | − | 11.1668i | −0.426973 | − | 0.426973i | ||||
\(685\) | −4.49212 | + | 2.59353i | −0.171635 | + | 0.0990936i | ||||
\(686\) | 41.9358 | − | 22.4136i | 1.60112 | − | 0.855753i | ||||
\(687\) | −18.5011 | − | 69.0472i | −0.705862 | − | 2.63431i | ||||
\(688\) | 24.1852i | 0.922052i | ||||||||
\(689\) | −31.3334 | + | 9.65409i | −1.19371 | + | 0.367792i | ||||
\(690\) | 14.0477 | 0.534786 | ||||||||
\(691\) | −12.0465 | − | 44.9582i | −0.458271 | − | 1.71029i | −0.678290 | − | 0.734795i | \(-0.737279\pi\) |
0.220019 | − | 0.975496i | \(-0.429388\pi\) | |||||||
\(692\) | 67.6287 | + | 39.0454i | 2.57086 | + | 1.48428i | ||||
\(693\) | 13.6067 | + | 38.6934i | 0.516875 | + | 1.46984i | ||||
\(694\) | 62.5609 | + | 62.5609i | 2.37478 | + | 2.37478i | ||||
\(695\) | −0.892649 | + | 3.33141i | −0.0338601 | + | 0.126368i | ||||
\(696\) | −9.35566 | + | 34.9158i | −0.354625 | + | 1.32348i | ||||
\(697\) | −6.47536 | + | 6.47536i | −0.245272 | + | 0.245272i | ||||
\(698\) | 9.13923 | − | 5.27654i | 0.345925 | − | 0.199720i | ||||
\(699\) | −29.4254 | + | 50.9663i | −1.11297 | + | 1.92772i | ||||
\(700\) | 58.6443 | − | 4.48610i | 2.21655 | − | 0.169559i | ||||
\(701\) | − | 7.19399i | − | 0.271713i | −0.990729 | − | 0.135857i | \(-0.956621\pi\) | ||
0.990729 | − | 0.135857i | \(-0.0433787\pi\) | |||||||
\(702\) | 16.8563 | + | 26.8457i | 0.636199 | + | 1.01323i | ||||
\(703\) | − | 1.44340i | − | 0.0544388i | ||||||
\(704\) | 7.40075 | − | 1.98302i | 0.278926 | − | 0.0747380i | ||||
\(705\) | −7.89233 | − | 4.55664i | −0.297242 | − | 0.171613i | ||||
\(706\) | −13.9744 | − | 24.2044i | −0.525934 | − | 0.910945i | ||||
\(707\) | −6.72571 | − | 9.83206i | −0.252946 | − | 0.369773i | ||||
\(708\) | −23.8102 | + | 88.8609i | −0.894843 | + | 3.33960i | ||||
\(709\) | −0.150433 | − | 0.0403084i | −0.00564964 | − | 0.00151382i | 0.255993 | − | 0.966679i | \(-0.417598\pi\) |
−0.261643 | + | 0.965165i | \(0.584264\pi\) | |||||||
\(710\) | −1.62901 | − | 1.62901i | −0.0611356 | − | 0.0611356i | ||||
\(711\) | −7.72800 | − | 13.3853i | −0.289823 | − | 0.501988i | ||||
\(712\) | −39.7581 | + | 68.8630i | −1.49000 | + | 2.58075i | ||||
\(713\) | −30.9079 | + | 8.28174i | −1.15751 | + | 0.310154i | ||||
\(714\) | 73.7540 | + | 13.8368i | 2.76018 | + | 0.517828i | ||||
\(715\) | −5.08359 | − | 1.16201i | −0.190115 | − | 0.0434567i | ||||
\(716\) | 49.9045 | 1.86502 | ||||||||
\(717\) | 1.99546 | + | 7.44715i | 0.0745218 | + | 0.278119i | ||||
\(718\) | −39.5151 | + | 68.4421i | −1.47469 | + | 2.55424i | ||||
\(719\) | −6.48137 | − | 11.2261i | −0.241714 | − | 0.418661i | 0.719488 | − | 0.694504i | \(-0.244376\pi\) |
−0.961203 | + | 0.275843i | \(0.911043\pi\) | |||||||
\(720\) | 9.50324 | − | 9.50324i | 0.354165 | − | 0.354165i | ||||
\(721\) | −18.4226 | + | 38.4069i | −0.686093 | + | 1.43035i | ||||
\(722\) | 45.5105 | + | 12.1945i | 1.69372 | + | 0.453832i | ||||
\(723\) | −57.5321 | + | 57.5321i | −2.13964 | + | 2.13964i | ||||
\(724\) | 82.6002 | − | 47.6893i | 3.06981 | − | 1.77236i | ||||
\(725\) | 8.44702 | + | 4.87689i | 0.313714 | + | 0.181123i | ||||
\(726\) | 14.5849 | − | 3.90802i | 0.541297 | − | 0.145040i | ||||
\(727\) | −49.4330 | −1.83337 | −0.916684 | − | 0.399614i | \(-0.869144\pi\) | ||||
−0.916684 | + | 0.399614i | \(0.869144\pi\) | |||||||
\(728\) | −37.7570 | − | 51.0277i | −1.39937 | − | 1.89121i | ||||
\(729\) | 42.9729 | 1.59159 | ||||||||
\(730\) | −4.89246 | + | 1.31093i | −0.181078 | + | 0.0485198i | ||||
\(731\) | 10.8613 | + | 6.27077i | 0.401720 | + | 0.231933i | ||||
\(732\) | −29.7577 | + | 17.1806i | −1.09988 | + | 0.635013i | ||||
\(733\) | −24.1928 | + | 24.1928i | −0.893581 | + | 0.893581i | −0.994858 | − | 0.101277i | \(-0.967707\pi\) |
0.101277 | + | 0.994858i | \(0.467707\pi\) | |||||||
\(734\) | 61.8450 | + | 16.5713i | 2.28274 | + | 0.611658i | ||||
\(735\) | −6.06337 | − | 4.44604i | −0.223651 | − | 0.163995i | ||||
\(736\) | 25.1297 | − | 25.1297i | 0.926292 | − | 0.926292i | ||||
\(737\) | −9.13088 | − | 15.8151i | −0.336340 | − | 0.582558i | ||||
\(738\) | −12.2518 | + | 21.2207i | −0.450994 | + | 0.781145i | ||||
\(739\) | 1.10636 | + | 4.12898i | 0.0406980 | + | 0.151887i | 0.983285 | − | 0.182074i | \(-0.0582812\pi\) |
−0.942587 | + | 0.333961i | \(0.891615\pi\) | |||||||
\(740\) | 3.27805 | 0.120503 | ||||||||
\(741\) | 6.92162 | + | 3.66102i | 0.254272 | + | 0.134491i | ||||
\(742\) | −11.3898 | + | 60.7112i | −0.418134 | + | 2.22878i | ||||
\(743\) | 23.2815 | − | 6.23826i | 0.854115 | − | 0.228859i | 0.194909 | − | 0.980821i | \(-0.437559\pi\) |
0.659206 | + | 0.751962i | \(0.270892\pi\) | |||||||
\(744\) | −56.3519 | + | 97.6043i | −2.06596 | + | 3.57835i | ||||
\(745\) | 3.72080 | + | 6.44461i | 0.136319 | + | 0.236112i | ||||
\(746\) | 33.0218 | + | 33.0218i | 1.20902 | + | 1.20902i | ||||
\(747\) | −31.3097 | − | 8.38940i | −1.14556 | − | 0.306952i | ||||
\(748\) | 17.6780 | − | 65.9754i | 0.646373 | − | 2.41230i | ||||
\(749\) | −16.1580 | − | 23.6208i | −0.590400 | − | 0.863084i | ||||
\(750\) | −13.5698 | − | 23.5035i | −0.495498 | − | 0.858227i | ||||
\(751\) | −11.3539 | − | 6.55518i | −0.414310 | − | 0.239202i | 0.278330 | − | 0.960486i | \(-0.410219\pi\) |
−0.692640 | + | 0.721283i | \(0.743553\pi\) | |||||||
\(752\) | −64.7512 | + | 17.3500i | −2.36123 | + | 0.632690i | ||||
\(753\) | − | 44.9716i | − | 1.63886i | ||||||
\(754\) | −0.691382 | − | 18.6374i | −0.0251786 | − | 0.678734i | ||||
\(755\) | − | 5.60548i | − | 0.204004i | ||||||
\(756\) | 41.4797 | − | 3.17306i | 1.50860 | − | 0.115403i | ||||
\(757\) | 7.95111 | − | 13.7717i | 0.288988 | − | 0.500542i | −0.684580 | − | 0.728937i | \(-0.740015\pi\) |
0.973568 | + | 0.228395i | \(0.0733479\pi\) | |||||||
\(758\) | 1.86667 | − | 1.07772i | 0.0678007 | − | 0.0391447i | ||||
\(759\) | 35.2602 | − | 35.2602i | 1.27986 | − | 1.27986i | ||||
\(760\) | 0.552600 | − | 2.06233i | 0.0200449 | − | 0.0748087i | ||||
\(761\) | 10.2470 | − | 38.2424i | 0.371454 | − | 1.38629i | −0.487002 | − | 0.873401i | \(-0.661910\pi\) |
0.858457 | − | 0.512886i | \(-0.171424\pi\) | |||||||
\(762\) | −61.5705 | − | 61.5705i | −2.23047 | − | 2.23047i | ||||
\(763\) | 8.32265 | − | 2.92669i | 0.301300 | − | 0.105953i | ||||
\(764\) | −5.90280 | − | 3.40799i | −0.213556 | − | 0.123297i | ||||
\(765\) | −1.80378 | − | 6.73181i | −0.0652160 | − | 0.243389i | ||||
\(766\) | 14.9050 | 0.538538 | ||||||||
\(767\) | −0.993171 | − | 26.7726i | −0.0358613 | − | 0.966704i | ||||
\(768\) | 70.4653i | 2.54270i | ||||||||
\(769\) | −1.28737 | − | 4.80452i | −0.0464236 | − | 0.173255i | 0.938822 | − | 0.344404i | \(-0.111919\pi\) |
−0.985245 | + | 0.171148i | \(0.945252\pi\) | |||||||
\(770\) | −6.39683 | + | 7.45657i | −0.230526 | + | 0.268716i | ||||
\(771\) | −28.5143 | + | 16.4627i | −1.02692 | + | 0.592891i | ||||
\(772\) | −23.8404 | − | 23.8404i | −0.858036 | − | 0.858036i | ||||
\(773\) | −32.0473 | − | 8.58704i | −1.15266 | − | 0.308855i | −0.368630 | − | 0.929576i | \(-0.620173\pi\) |
−0.784031 | + | 0.620722i | \(0.786840\pi\) | |||||||
\(774\) | 32.4149 | + | 8.68556i | 1.16513 | + | 0.312196i | ||||
\(775\) | 21.5039 | + | 21.5039i | 0.772444 | + | 0.772444i | ||||
\(776\) | −46.0565 | + | 26.5907i | −1.65333 | + | 0.954551i | ||||
\(777\) | 9.70286 | + | 8.32387i | 0.348088 | + | 0.298617i | ||||
\(778\) | −5.79862 | − | 21.6408i | −0.207891 | − | 0.775859i | ||||
\(779\) | 1.80025i | 0.0645007i | ||||||||
\(780\) | −8.31441 | + | 15.7194i | −0.297703 | + | 0.562846i | ||||
\(781\) | −8.17773 | −0.292622 | ||||||||
\(782\) | −13.8686 | − | 51.7582i | −0.495939 | − | 1.85087i | ||||
\(783\) | 5.97466 | + | 3.44947i | 0.213517 | + | 0.123274i | ||||
\(784\) | −54.6629 | + | 8.41231i | −1.95225 | + | 0.300440i | ||||
\(785\) | 3.94646 | + | 3.94646i | 0.140855 | + | 0.140855i | ||||
\(786\) | 21.0910 | − | 78.7127i | 0.752291 | − | 2.80759i | ||||
\(787\) | −3.27477 | + | 12.2216i | −0.116733 | + | 0.435653i | −0.999411 | − | 0.0343257i | \(-0.989072\pi\) |
0.882678 | + | 0.469978i | \(0.155738\pi\) | |||||||
\(788\) | 58.6286 | − | 58.6286i | 2.08856 | − | 2.08856i | ||||
\(789\) | −34.1065 | + | 19.6914i | −1.21422 | + | 0.701033i | ||||
\(790\) | 1.85106 | − | 3.20614i | 0.0658579 | − | 0.114069i | ||||
\(791\) | 20.1564 | − | 1.54190i | 0.716678 | − | 0.0548235i | ||||
\(792\) | − | 103.159i | − | 3.66558i | ||||||
\(793\) | 6.80864 | − | 7.33325i | 0.241782 | − | 0.260411i | ||||
\(794\) | − | 0.546029i | − | 0.0193779i | ||||||
\(795\) | 9.43456 | − | 2.52798i | 0.334609 | − | 0.0896583i | ||||
\(796\) | −12.9698 | − | 7.48811i | −0.459702 | − | 0.265409i | ||||
\(797\) | 3.71613 | + | 6.43653i | 0.131632 | + | 0.227994i | 0.924306 | − | 0.381652i | \(-0.124645\pi\) |
−0.792674 | + | 0.609646i | \(0.791312\pi\) | |||||||
\(798\) | 12.1758 | − | 8.32897i | 0.431019 | − | 0.294842i | ||||
\(799\) | −8.99708 | + | 33.5776i | −0.318294 | + | 1.18789i | ||||
\(800\) | −32.6252 | − | 8.74190i | −1.15348 | − | 0.309073i | ||||
\(801\) | 36.0801 | + | 36.0801i | 1.27483 | + | 1.27483i | ||||
\(802\) | 9.00980 | + | 15.6054i | 0.318147 | + | 0.551047i | ||||
\(803\) | −8.98977 | + | 15.5707i | −0.317242 | + | 0.549479i | ||||
\(804\) | −60.1531 | + | 16.1180i | −2.12144 | + | 0.568437i | ||||
\(805\) | −0.989970 | + | 5.27683i | −0.0348919 | + | 0.185984i | ||||
\(806\) | 12.9576 | − | 56.6871i | 0.456411 | − | 1.99672i | ||||
\(807\) | −13.4385 | −0.473059 | ||||||||
\(808\) | 7.75436 | + | 28.9397i | 0.272797 | + | 1.01809i | ||||
\(809\) | 26.9123 | − | 46.6134i | 0.946185 | − | 1.63884i | 0.192824 | − | 0.981233i | \(-0.438235\pi\) |
0.753361 | − | 0.657607i | \(-0.228431\pi\) | |||||||
\(810\) | 1.82929 | + | 3.16842i | 0.0642746 | + | 0.111327i | ||||
\(811\) | 19.2534 | − | 19.2534i | 0.676078 | − | 0.676078i | −0.283032 | − | 0.959110i | \(-0.591340\pi\) |
0.959110 | + | 0.283032i | \(0.0913404\pi\) | |||||||
\(812\) | −22.0686 | − | 10.5856i | −0.774455 | − | 0.371482i | ||||
\(813\) | −69.0021 | − | 18.4891i | −2.42001 | − | 0.648440i | ||||
\(814\) | 11.8118 | − | 11.8118i | 0.414004 | − | 0.414004i | ||||
\(815\) | −3.26984 | + | 1.88784i | −0.114538 | + | 0.0661283i | ||||
\(816\) | −75.5884 | − | 43.6410i | −2.64612 | − | 1.52774i | ||||
\(817\) | 2.38149 | − | 0.638119i | 0.0833178 | − | 0.0223249i | ||||
\(818\) | −27.4885 | −0.961113 | ||||||||
\(819\) | −37.8992 | + | 14.9281i | −1.32430 | + | 0.521629i | ||||
\(820\) | −4.08848 | −0.142776 | ||||||||
\(821\) | 9.07220 | − | 2.43089i | 0.316622 | − | 0.0848386i | −0.0970082 | − | 0.995284i | \(-0.530927\pi\) |
0.413630 | + | 0.910445i | \(0.364261\pi\) | |||||||
\(822\) | 78.0619 | + | 45.0691i | 2.72272 | + | 1.57196i | ||||
\(823\) | −37.1775 | + | 21.4644i | −1.29592 | + | 0.748202i | −0.979698 | − | 0.200481i | \(-0.935749\pi\) |
−0.316227 | + | 0.948684i | \(0.602416\pi\) | |||||||
\(824\) | 75.7552 | − | 75.7552i | 2.63906 | − | 2.63906i | ||||
\(825\) | −45.7774 | − | 12.2660i | −1.59376 | − | 0.427048i | ||||
\(826\) | −45.5095 | − | 21.8295i | −1.58348 | − | 0.759544i | ||||
\(827\) | −2.53773 | + | 2.53773i | −0.0882457 | + | 0.0882457i | −0.749852 | − | 0.661606i | \(-0.769875\pi\) |
0.661606 | + | 0.749852i | \(0.269875\pi\) | |||||||
\(828\) | −49.9384 | − | 86.4958i | −1.73548 | − | 3.00594i | ||||
\(829\) | 25.3747 | − | 43.9503i | 0.881301 | − | 1.52646i | 0.0314050 | − | 0.999507i | \(-0.490002\pi\) |
0.849896 | − | 0.526951i | \(-0.176665\pi\) | |||||||
\(830\) | −2.00949 | − | 7.49951i | −0.0697503 | − | 0.260312i | ||||
\(831\) | 55.0702 | 1.91036 | ||||||||
\(832\) | 2.24046 | + | 7.27165i | 0.0776738 | + | 0.252099i | ||||
\(833\) | −10.3952 | + | 26.7297i | −0.360173 | + | 0.926128i | ||||
\(834\) | 57.8917 | − | 15.5120i | 2.00462 | − | 0.537138i | ||||
\(835\) | 1.94090 | − | 3.36173i | 0.0671675 | − | 0.116338i | ||||
\(836\) | −6.71370 | − | 11.6285i | −0.232198 | − | 0.402179i | ||||
\(837\) | 15.2099 | + | 15.2099i | 0.525732 | + | 0.525732i | ||||
\(838\) | −2.58713 | − | 0.693219i | −0.0893709 | − | 0.0239469i | ||||
\(839\) | 3.51172 | − | 13.1059i | 0.121238 | − | 0.452466i | −0.878440 | − | 0.477853i | \(-0.841415\pi\) |
0.999678 | + | 0.0253868i | \(0.00808173\pi\) | |||||||
\(840\) | 10.6767 | + | 15.6079i | 0.368382 | + | 0.538523i | ||||
\(841\) | 12.4705 | + | 21.5995i | 0.430017 | + | 0.744811i | ||||
\(842\) | 72.2838 | + | 41.7331i | 2.49106 | + | 1.43822i | ||||
\(843\) | −14.2440 | + | 3.81667i | −0.490590 | + | 0.131453i | ||||
\(844\) | − | 10.1849i | − | 0.350579i | ||||||
\(845\) | 0.966049 | − | 5.08784i | 0.0332331 | − | 0.175027i | ||||
\(846\) | 93.0156i | 3.19794i | ||||||||
\(847\) | 0.440167 | + | 5.75405i | 0.0151243 | + | 0.197712i | ||||
\(848\) | 35.9234 | − | 62.2212i | 1.23361 | − | 2.13668i | ||||
\(849\) | 58.4650 | − | 33.7548i | 2.00651 | − | 1.15846i | ||||
\(850\) | −36.0104 | + | 36.0104i | −1.23515 | + | 1.23515i | ||||
\(851\) | 2.36267 | − | 8.81761i | 0.0809914 | − | 0.302264i | ||||
\(852\) | −7.21773 | + | 26.9369i | −0.247275 | + | 0.922845i | ||||
\(853\) | 35.8111 | + | 35.8111i | 1.22615 | + | 1.22615i | 0.965410 | + | 0.260737i | \(0.0839656\pi\) |
0.260737 | + | 0.965410i | \(0.416034\pi\) | |||||||
\(854\) | −6.25415 | − | 17.7849i | −0.214012 | − | 0.608588i | ||||
\(855\) | −1.18651 | − | 0.685035i | −0.0405780 | − | 0.0234277i | ||||
\(856\) | 18.6293 | + | 69.5253i | 0.636735 | + | 2.37633i | ||||
\(857\) | 30.8652 | 1.05433 | 0.527167 | − | 0.849761i | \(-0.323254\pi\) | ||||
0.527167 | + | 0.849761i | \(0.323254\pi\) | |||||||
\(858\) | 26.6826 | + | 86.6013i | 0.910928 | + | 2.95652i | ||||
\(859\) | 32.4866i | 1.10843i | 0.832374 | + | 0.554215i | \(0.186981\pi\) | ||||
−0.832374 | + | 0.554215i | \(0.813019\pi\) | |||||||
\(860\) | 1.44921 | + | 5.40851i | 0.0494175 | + | 0.184429i | ||||
\(861\) | −12.1017 | − | 10.3818i | −0.412425 | − | 0.353810i | ||||
\(862\) | −18.1961 | + | 10.5055i | −0.619761 | + | 0.357819i | ||||
\(863\) | −5.35457 | − | 5.35457i | −0.182272 | − | 0.182272i | 0.610073 | − | 0.792345i | \(-0.291140\pi\) |
−0.792345 | + | 0.610073i | \(0.791140\pi\) | |||||||
\(864\) | −23.0761 | − | 6.18323i | −0.785066 | − | 0.210358i | ||||
\(865\) | 6.54400 | + | 1.75346i | 0.222503 | + | 0.0596194i | ||||
\(866\) | −36.1301 | − | 36.1301i | −1.22775 | − | 1.22775i | ||||
\(867\) | 0.498670 | − | 0.287907i | 0.0169357 | − | 0.00977784i | ||||
\(868\) | −57.9204 | − | 49.6887i | −1.96595 | − | 1.68654i | ||||
\(869\) | −3.40128 | − | 12.6938i | −0.115381 | − | 0.430606i | ||||
\(870\) | 5.55597i | 0.188365i | ||||||||
\(871\) | 15.3591 | − | 9.64391i | 0.520424 | − | 0.326771i | ||||
\(872\) | −22.1886 | −0.751402 | ||||||||
\(873\) | 8.83250 | + | 32.9634i | 0.298935 | + | 1.11564i | ||||
\(874\) | −9.12264 | − | 5.26696i | −0.308578 | − | 0.178158i | ||||
\(875\) | 9.78510 | − | 3.44097i | 0.330797 | − | 0.116326i | ||||
\(876\) | 43.3546 | + | 43.3546i | 1.46482 | + | 1.46482i | ||||
\(877\) | −4.95841 | + | 18.5050i | −0.167433 | + | 0.624870i | 0.830284 | + | 0.557341i | \(0.188178\pi\) |
−0.997717 | + | 0.0675294i | \(0.978488\pi\) | |||||||
\(878\) | 4.82791 | − | 18.0180i | 0.162934 | − | 0.608078i | ||||
\(879\) | 35.1886 | − | 35.1886i | 1.18688 | − | 1.18688i | ||||
\(880\) | 9.89615 | − | 5.71355i | 0.333599 | − | 0.192604i | ||||
\(881\) | 3.37117 | − | 5.83904i | 0.113578 | − | 0.196722i | −0.803633 | − | 0.595126i | \(-0.797102\pi\) |
0.917210 | + | 0.398403i | \(0.130436\pi\) | |||||||
\(882\) | −8.35609 | + | 76.2848i | −0.281364 | + | 2.56864i | ||||
\(883\) | 41.6349i | 1.40112i | 0.713591 | + | 0.700562i | \(0.247067\pi\) | ||||
−0.713591 | + | 0.700562i | \(0.752933\pi\) | |||||||
\(884\) | 66.1262 | + | 15.1152i | 2.22406 | + | 0.508378i | ||||
\(885\) | 7.98117i | 0.268284i | ||||||||
\(886\) | −65.8720 | + | 17.6504i | −2.21301 | + | 0.592975i | ||||
\(887\) | 16.4801 | + | 9.51479i | 0.553348 | + | 0.319475i | 0.750471 | − | 0.660903i | \(-0.229827\pi\) |
−0.197123 | + | 0.980379i | \(0.563160\pi\) | |||||||
\(888\) | −16.0765 | − | 27.8452i | −0.539491 | − | 0.934425i | ||||
\(889\) | 27.4672 | − | 18.7892i | 0.921221 | − | 0.630169i | ||||
\(890\) | −3.16325 | + | 11.8054i | −0.106032 | + | 0.395718i | ||||
\(891\) | 12.5444 | + | 3.36126i | 0.420254 | + | 0.112607i | ||||
\(892\) | −17.6625 | − | 17.6625i | −0.591385 | − | 0.591385i | ||||
\(893\) | 3.41688 | + | 5.91821i | 0.114342 | + | 0.198045i | ||||
\(894\) | 64.6582 | − | 111.991i | 2.16249 | − | 3.74555i | ||||
\(895\) | 4.18199 | − | 1.12056i | 0.139788 | − | 0.0374562i | ||||
\(896\) | −22.1945 | − | 4.16385i | −0.741467 | − | 0.139104i | ||||
\(897\) | 36.2910 | + | 33.6948i | 1.21172 | + | 1.12504i | ||||
\(898\) | −50.9057 | −1.69875 | ||||||||
\(899\) | −3.27550 | − | 12.2243i | −0.109244 | − | 0.407704i | ||||
\(900\) | −47.4616 | + | 82.2059i | −1.58205 | + | 2.74020i | ||||
\(901\) | −18.6285 | − | 32.2656i | −0.620607 | − | 1.07492i | ||||
\(902\) | −14.7320 | + | 14.7320i | −0.490523 | + | 0.490523i | ||||
\(903\) | −9.44414 | + | 19.6889i | −0.314281 | + | 0.655205i | ||||
\(904\) | −49.1105 | − | 13.1591i | −1.63339 | − | 0.437666i | ||||
\(905\) | 5.85106 | − | 5.85106i | 0.194496 | − | 0.194496i | ||||
\(906\) | −84.3589 | + | 48.7047i | −2.80264 | + | 1.61810i | ||||
\(907\) | −4.78340 | − | 2.76169i | −0.158830 | − | 0.0917006i | 0.418478 | − | 0.908227i | \(-0.362564\pi\) |
−0.577308 | + | 0.816526i | \(0.695897\pi\) | |||||||
\(908\) | 1.53791 | − | 0.412081i | 0.0510372 | − | 0.0136754i | ||||
\(909\) | 19.2255 | 0.637669 | ||||||||
\(910\) | −7.63556 | − | 6.07383i | −0.253116 | − | 0.201346i | ||||
\(911\) | −23.9393 | −0.793146 | −0.396573 | − | 0.918003i | \(-0.629801\pi\) | ||||
−0.396573 | + | 0.918003i | \(0.629801\pi\) | |||||||
\(912\) | −16.5738 | + | 4.44094i | −0.548814 | + | 0.147054i | ||||
\(913\) | −23.8679 | − | 13.7801i | −0.789913 | − | 0.456056i | ||||
\(914\) | −55.8085 | + | 32.2211i | −1.84598 | + | 1.06578i | ||||
\(915\) | −2.10791 | + | 2.10791i | −0.0696855 | + | 0.0696855i | ||||
\(916\) | −117.587 | − | 31.5074i | −3.88519 | − | 1.04103i | ||||
\(917\) | 28.0811 | + | 13.4696i | 0.927320 | + | 0.444806i | ||||
\(918\) | −25.4705 | + | 25.4705i | −0.840652 | + | 0.840652i | ||||
\(919\) | 21.7832 | + | 37.7297i | 0.718562 | + | 1.24459i | 0.961569 | + | 0.274562i | \(0.0885329\pi\) |
−0.243007 | + | 0.970025i | \(0.578134\pi\) | |||||||
\(920\) | 6.75159 | − | 11.6941i | 0.222593 | − | 0.385543i | ||||
\(921\) | 14.4777 | + | 54.0315i | 0.477056 | + | 1.78040i | ||||
\(922\) | 86.8424 | 2.86000 | ||||||||
\(923\) | −0.301066 | − | 8.11575i | −0.00990971 | − | 0.267133i | ||||
\(924\) | 116.886 | + | 21.9287i | 3.84528 | + | 0.721401i | ||||
\(925\) | −8.38029 | + | 2.24549i | −0.275542 | + | 0.0738313i | ||||
\(926\) | −24.8085 | + | 42.9696i | −0.815258 | + | 1.41207i | ||||
\(927\) | −34.3736 | − | 59.5369i | −1.12898 | − | 1.95545i | ||||
\(928\) | 9.93900 | + | 9.93900i | 0.326264 | + | 0.326264i | ||||
\(929\) | 32.5120 | + | 8.71157i | 1.06669 | + | 0.285817i | 0.749130 | − | 0.662423i | \(-0.230472\pi\) |
0.317555 | + | 0.948240i | \(0.397138\pi\) | |||||||
\(930\) | −4.48349 | + | 16.7326i | −0.147020 | + | 0.548684i | ||||
\(931\) | 2.27062 | + | 5.16065i | 0.0744164 | + | 0.169133i | ||||
\(932\) | 50.1114 | + | 86.7955i | 1.64145 | + | 2.84308i | ||||
\(933\) | −13.6869 | − | 7.90215i | −0.448090 | − | 0.258705i | ||||
\(934\) | −37.5779 | + | 10.0690i | −1.22959 | + | 0.329466i | ||||
\(935\) | − | 5.92567i | − | 0.193790i | ||||||
\(936\) | 102.377 | − | 3.79782i | 3.34629 | − | 0.124136i | ||||
\(937\) | − | 9.65419i | − | 0.315389i | −0.987488 | − | 0.157694i | \(-0.949594\pi\) | ||
0.987488 | − | 0.157694i | \(-0.0504061\pi\) | |||||||
\(938\) | −2.60611 | − | 34.0682i | −0.0850924 | − | 1.11237i | ||||
\(939\) | 27.5125 | − | 47.6530i | 0.897836 | − | 1.55510i | ||||
\(940\) | −13.4406 | + | 7.75995i | −0.438385 | + | 0.253102i | ||||
\(941\) | −8.69399 | + | 8.69399i | −0.283416 | + | 0.283416i | −0.834470 | − | 0.551054i | \(-0.814226\pi\) |
0.551054 | + | 0.834470i | \(0.314226\pi\) | |||||||
\(942\) | 25.1019 | − | 93.6816i | 0.817864 | − | 3.05231i | ||||
\(943\) | −2.94680 | + | 10.9976i | −0.0959609 | + | 0.358131i | ||||
\(944\) | 41.5127 | + | 41.5127i | 1.35112 | + | 1.35112i | ||||
\(945\) | 3.40474 | − | 1.19729i | 0.110756 | − | 0.0389479i | ||||
\(946\) | 24.7105 | + | 14.2666i | 0.803407 | + | 0.463847i | ||||
\(947\) | −7.16842 | − | 26.7529i | −0.232942 | − | 0.869353i | −0.979066 | − | 0.203545i | \(-0.934754\pi\) |
0.746123 | − | 0.665808i | \(-0.231913\pi\) | |||||||
\(948\) | −44.8144 | −1.45551 | ||||||||
\(949\) | −15.7837 | − | 8.34839i | −0.512360 | − | 0.271000i | ||||
\(950\) | 10.0115i | 0.324815i | ||||||||
\(951\) | −5.35286 | − | 19.9771i | −0.173578 | − | 0.647803i | ||||
\(952\) | 46.9662 | − | 54.7469i | 1.52218 | − | 1.77436i | ||||
\(953\) | −19.2186 | + | 11.0958i | −0.622550 | + | 0.359430i | −0.777861 | − | 0.628436i | \(-0.783695\pi\) |
0.155311 | + | 0.987866i | \(0.450362\pi\) | |||||||
\(954\) | −70.4927 | − | 70.4927i | −2.28229 | − | 2.28229i | ||||
\(955\) | −0.571177 | − | 0.153046i | −0.0184829 | − | 0.00495247i | ||||
\(956\) | 12.6825 | + | 3.39826i | 0.410181 | + | 0.109908i | ||||
\(957\) | 13.9457 | + | 13.9457i | 0.450800 | + | 0.450800i | ||||
\(958\) | 55.8970 | − | 32.2722i | 1.80595 | − | 1.04267i | ||||
\(959\) | −22.4308 | + | 26.1469i | −0.724329 | + | 0.844326i | ||||
\(960\) | −0.586677 | − | 2.18951i | −0.0189349 | − | 0.0706661i | ||||
\(961\) | − | 8.45855i | − | 0.272856i | ||||||
\(962\) | 12.1571 | + | 11.2874i | 0.391962 | + | 0.363921i | ||||
\(963\) | 46.1878 | 1.48838 | ||||||||
\(964\) | 35.8621 | + | 133.839i | 1.15504 | + | 4.31067i | ||||
\(965\) | −2.53314 | − | 1.46251i | −0.0815446 | − | 0.0470798i | ||||
\(966\) | 88.0147 | − | 30.9507i | 2.83183 | − | 0.995823i | ||||
\(967\) | −14.2351 | − | 14.2351i | −0.457769 | − | 0.457769i | 0.440153 | − | 0.897923i | \(-0.354924\pi\) |
−0.897923 | + | 0.440153i | \(0.854924\pi\) | |||||||
\(968\) | 3.75654 | − | 14.0196i | 0.120740 | − | 0.450607i | ||||
\(969\) | −2.30291 | + | 8.59457i | −0.0739800 | + | 0.276097i | ||||
\(970\) | −5.77999 | + | 5.77999i | −0.185584 | + | 0.185584i | ||||
\(971\) | −39.5485 | + | 22.8334i | −1.26917 | + | 0.732758i | −0.974832 | − | 0.222943i | \(-0.928434\pi\) |
−0.294342 | + | 0.955700i | \(0.595100\pi\) | |||||||
\(972\) | 45.7291 | − | 79.2051i | 1.46676 | − | 2.54050i | ||||
\(973\) | 1.74714 | + | 22.8394i | 0.0560109 | + | 0.732199i | ||||
\(974\) | − | 66.3283i | − | 2.12529i | ||||||
\(975\) | 10.4877 | − | 45.8820i | 0.335876 | − | 1.46940i | ||||
\(976\) | 21.9279i | 0.701895i | ||||||||
\(977\) | −32.7282 | + | 8.76950i | −1.04707 | + | 0.280561i | −0.741040 | − | 0.671461i | \(-0.765667\pi\) |
−0.306029 | + | 0.952022i | \(0.599000\pi\) | |||||||
\(978\) | 56.8218 | + | 32.8061i | 1.81696 | + | 1.04902i | ||||
\(979\) | 21.6921 | + | 37.5719i | 0.693283 | + | 1.20080i | ||||
\(980\) | −11.7202 | + | 5.15671i | −0.374387 | + | 0.164725i | ||||
\(981\) | −3.68514 | + | 13.7531i | −0.117658 | + | 0.439104i | ||||
\(982\) | 89.4936 | + | 23.9797i | 2.85586 | + | 0.765224i | ||||
\(983\) | −25.1769 | − | 25.1769i | −0.803017 | − | 0.803017i | 0.180549 | − | 0.983566i | \(-0.442213\pi\) |
−0.983566 | + | 0.180549i | \(0.942213\pi\) | |||||||
\(984\) | 20.0511 | + | 34.7294i | 0.639204 | + | 1.10713i | ||||
\(985\) | 3.59662 | − | 6.22952i | 0.114598 | − | 0.198489i | ||||
\(986\) | 20.4708 | − | 5.48514i | 0.651923 | − | 0.174682i | ||||
\(987\) | −59.4882 | − | 11.1604i | −1.89353 | − | 0.355240i | ||||
\(988\) | 11.2932 | − | 7.09093i | 0.359284 | − | 0.225592i | ||||
\(989\) | 15.5929 | 0.495825 | ||||||||
\(990\) | −4.10378 | − | 15.3155i | −0.130427 | − | 0.486759i | ||||
\(991\) | −24.8147 | + | 42.9803i | −0.788265 | + | 1.36532i | 0.138764 | + | 0.990326i | \(0.455687\pi\) |
−0.927029 | + | 0.374990i | \(0.877646\pi\) | |||||||
\(992\) | 21.9123 | + | 37.9532i | 0.695716 | + | 1.20502i | ||||
\(993\) | 48.0624 | − | 48.0624i | 1.52521 | − | 1.52521i | ||||
\(994\) | −13.7956 | − | 6.61730i | −0.437568 | − | 0.209888i | ||||
\(995\) | −1.25500 | − | 0.336278i | −0.0397863 | − | 0.0106607i | ||||
\(996\) | −66.4570 | + | 66.4570i | −2.10577 | + | 2.10577i | ||||
\(997\) | −6.36471 | + | 3.67467i | −0.201572 | + | 0.116378i | −0.597389 | − | 0.801952i | \(-0.703795\pi\) |
0.395816 | + | 0.918330i | \(0.370462\pi\) | |||||||
\(998\) | −62.7985 | − | 36.2567i | −1.98785 | − | 1.14769i | ||||
\(999\) | −5.92745 | + | 1.58826i | −0.187536 | + | 0.0502502i |
(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 | 91.2.bc.a.20.2 | yes | 32 | |
3.2 | odd | 2 | 819.2.fm.g.748.7 | 32 | |||
7.2 | even | 3 | 637.2.bb.b.423.7 | 32 | |||
7.3 | odd | 6 | 637.2.x.b.215.8 | 32 | |||
7.4 | even | 3 | 637.2.x.b.215.7 | 32 | |||
7.5 | odd | 6 | 637.2.bb.b.423.8 | 32 | |||
7.6 | odd | 2 | inner | 91.2.bc.a.20.1 | ✓ | 32 | |
13.2 | odd | 12 | inner | 91.2.bc.a.41.1 | yes | 32 | |
21.20 | even | 2 | 819.2.fm.g.748.8 | 32 | |||
39.2 | even | 12 | 819.2.fm.g.496.8 | 32 | |||
91.2 | odd | 12 | 637.2.x.b.80.7 | 32 | |||
91.41 | even | 12 | inner | 91.2.bc.a.41.2 | yes | 32 | |
91.54 | even | 12 | 637.2.x.b.80.8 | 32 | |||
91.67 | odd | 12 | 637.2.bb.b.509.8 | 32 | |||
91.80 | even | 12 | 637.2.bb.b.509.7 | 32 | |||
273.41 | odd | 12 | 819.2.fm.g.496.7 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bc.a.20.1 | ✓ | 32 | 7.6 | odd | 2 | inner | |
91.2.bc.a.20.2 | yes | 32 | 1.1 | even | 1 | trivial | |
91.2.bc.a.41.1 | yes | 32 | 13.2 | odd | 12 | inner | |
91.2.bc.a.41.2 | yes | 32 | 91.41 | even | 12 | inner | |
637.2.x.b.80.7 | 32 | 91.2 | odd | 12 | |||
637.2.x.b.80.8 | 32 | 91.54 | even | 12 | |||
637.2.x.b.215.7 | 32 | 7.4 | even | 3 | |||
637.2.x.b.215.8 | 32 | 7.3 | odd | 6 | |||
637.2.bb.b.423.7 | 32 | 7.2 | even | 3 | |||
637.2.bb.b.423.8 | 32 | 7.5 | odd | 6 | |||
637.2.bb.b.509.7 | 32 | 91.80 | even | 12 | |||
637.2.bb.b.509.8 | 32 | 91.67 | odd | 12 | |||
819.2.fm.g.496.7 | 32 | 273.41 | odd | 12 | |||
819.2.fm.g.496.8 | 32 | 39.2 | even | 12 | |||
819.2.fm.g.748.7 | 32 | 3.2 | odd | 2 | |||
819.2.fm.g.748.8 | 32 | 21.20 | even | 2 |