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 | 20.1 | ||
Character | \(\chi\) | \(=\) | 91.20 |
Dual form | 91.2.bc.a.41.1 |
$q$-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 | −0.360160 | − | 0.932890i | \(-0.617278\pi\) |
−0.987987 | + | 0.154537i | \(0.950611\pi\) | |||||||
\(4\) | 3.97660 | − | 2.29589i | 1.98830 | − | 1.14795i | ||||
\(5\) | −0.281686 | + | 0.281686i | −0.125974 | + | 0.125974i | −0.767283 | − | 0.641309i | \(-0.778392\pi\) |
0.641309 | + | 0.767283i | \(0.278392\pi\) | |||||||
\(6\) | 6.68671 | + | 1.79170i | 2.72984 | + | 0.731458i | ||||
\(7\) | −0.201802 | + | 2.63804i | −0.0762740 | + | 0.997087i | ||||
\(8\) | −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 | 0.999993 | − | 0.00363405i | \(-0.00115676\pi\) |
−0.503144 | + | 0.864203i | \(0.667823\pi\) | |||||||
\(18\) | −7.75202 | − | 7.75202i | −1.82717 | − | 1.82717i | ||||
\(19\) | 0.777996 | + | 0.208463i | 0.178484 | + | 0.0478248i | 0.346954 | − | 0.937882i | \(-0.387216\pi\) |
−0.168470 | + | 0.985707i | \(0.553883\pi\) | |||||||
\(20\) | −0.473433 | + | 1.76688i | −0.105863 | + | 0.395086i | ||||
\(21\) | 4.02769 | − | 5.88793i | 0.878914 | − | 1.28485i | ||||
\(22\) | −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 | ||||||
\(28\) | 5.25418 | + | 10.9538i | 0.992947 | + | 2.07007i | ||||
\(29\) | 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 | −0.982743 | − | 0.184978i | \(-0.940779\pi\) |
0.184978 | + | 0.982743i | \(0.440779\pi\) | |||||||
\(32\) | −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 | ||||
\(35\) | −0.686256 | − | 0.799946i | −0.115998 | − | 0.135216i | ||||
\(36\) | 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 | 0.996273 | − | 0.0862606i | \(-0.0274918\pi\) |
−0.905928 | + | 0.423432i | \(0.860825\pi\) | |||||||
\(42\) | −6.07597 | + | 17.2783i | −0.937543 | + | 2.66610i | ||||
\(43\) | −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 | 0.993024 | − | 0.117914i | \(-0.0376209\pi\) |
−0.117914 | + | 0.993024i | \(0.537621\pi\) | |||||||
\(48\) | −18.4491 | + | 10.6516i | −2.66290 | + | 1.53743i | ||||
\(49\) | −6.91855 | − | 1.06472i | −0.988365 | − | 0.152104i | ||||
\(50\) | −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 | ||||
\(56\) | −11.4632 | − | 13.3623i | −1.53183 | − | 1.78561i | ||||
\(57\) | −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 | \(-0.755965\pi\) |
0.970606 | − | 0.240674i | \(-0.0773685\pi\) | |||||||
\(60\) | 3.48750 | − | 3.48750i | 0.450235 | − | 0.450235i | ||||
\(61\) | 2.40353 | − | 1.38768i | 0.307741 | − | 0.177674i | −0.338174 | − | 0.941084i | \(-0.609809\pi\) |
0.645915 | + | 0.763409i | \(0.276476\pi\) | |||||||
\(62\) | 8.06384 | − | 13.9670i | 1.02411 | − | 1.77381i | ||||
\(63\) | −10.1862 | + | 4.88598i | −1.28333 | + | 0.615575i | ||||
\(64\) | − | 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 | ||||
\(70\) | 2.23346 | + | 1.52782i | 0.266949 | + | 0.182609i | ||||
\(71\) | −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 | 0.471836 | − | 0.881686i | \(-0.343591\pi\) |
−0.881686 | + | 0.471836i | \(0.843591\pi\) | |||||||
\(74\) | −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 | −0.348225 | − | 0.937411i | \(-0.613215\pi\) |
0.937411 | + | 0.348225i | \(0.113215\pi\) | |||||||
\(84\) | 2.49847 | − | 32.6611i | 0.272605 | − | 3.56362i | ||||
\(85\) | −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 | −0.812045 | − | 0.583595i | \(-0.801646\pi\) |
−0.411454 | + | 0.911430i | \(0.634979\pi\) | |||||||
\(90\) | 4.36728 | 0.460351 | ||||||||
\(91\) | 2.10533 | + | 9.30417i | 0.220699 | + | 0.975342i | ||||
\(92\) | −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 | −0.155353 | − | 0.987859i | \(-0.549651\pi\) |
−0.628469 | + | 0.777835i | \(0.716318\pi\) | |||||||
\(98\) | 17.8653 | − | 1.95693i | 1.80466 | − | 0.197680i | ||||
\(99\) | −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 | −0.956021 | − | 0.293300i | \(-0.905247\pi\) |
0.732015 | + | 0.681288i | \(0.238580\pi\) | |||||||
\(102\) | 7.34082 | + | 27.3963i | 0.726849 | + | 2.71264i | ||||
\(103\) | 16.1000 | 1.58638 | 0.793192 | − | 0.608971i | \(-0.208418\pi\) | ||||
0.793192 | + | 0.608971i | \(0.208418\pi\) | |||||||
\(104\) | −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 | ||||
\(112\) | 17.2533 | + | 11.8023i | 1.63029 | + | 1.11521i | ||||
\(113\) | 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 | ||||||||
\(119\) | −9.77375 | + | 4.68816i | −0.895958 | + | 0.429763i | ||||
\(120\) | −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 | ||||
\(126\) | 22.0145 | − | 18.8858i | 1.96121 | − | 1.68248i | ||||
\(127\) | 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 | \(-0.828074\pi\) | ||
0.857646 | − | 0.514241i | \(-0.171926\pi\) | |||||||
\(132\) | −11.6338 | − | 43.4180i | −1.01259 | − | 3.77905i | ||||
\(133\) | −0.706937 | + | 2.01032i | −0.0612992 | + | 0.174317i | ||||
\(134\) | 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 | −0.147099 | − | 0.989122i | \(-0.546994\pi\) |
0.783055 | + | 0.621953i | \(0.213660\pi\) | |||||||
\(140\) | −4.56556 | − | 1.60550i | −0.385860 | − | 0.135689i | ||||
\(141\) | −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 | ||||
\(147\) | 14.7198 | + | 11.8134i | 1.21407 | + | 0.974355i | ||||
\(148\) | 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 | ||||
\(154\) | 22.2362 | − | 10.6660i | 1.79184 | − | 0.859492i | ||||
\(155\) | − | 2.50237i | − | 0.200995i | ||||||
\(156\) | −42.6606 | + | 13.1441i | −3.41558 | + | 1.05237i | ||||
\(157\) | − | 14.0101i | − | 1.11813i | −0.829124 | − | 0.559064i | \(-0.811160\pi\) | ||
0.829124 | − | 0.559064i | \(-0.188840\pi\) | |||||||
\(158\) | 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 | ||||
\(161\) | 7.60928 | − | 11.1237i | 0.599695 | − | 0.876672i | ||||
\(162\) | −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 | −0.603892 | − | 0.797066i | \(-0.706384\pi\) |
−0.124453 | + | 0.992226i | \(0.539718\pi\) | |||||||
\(168\) | 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 | \(-0.942900\pi\) |
0.337458 | − | 0.941341i | \(-0.390433\pi\) | |||||||
\(174\) | 9.86198 | − | 9.86198i | 0.747635 | − | 0.747635i | ||||
\(175\) | −12.7716 | − | 0.976985i | −0.965440 | − | 0.0738531i | ||||
\(176\) | 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 | \(-0.780728\pi\) | ||||
−0.771969 | + | 0.635661i | \(0.780728\pi\) | |||||||
\(182\) | −11.4038 | − | 21.6750i | −0.845306 | − | 1.60666i | ||||
\(183\) | −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 | ||||
\(189\) | 9.03346 | + | 0.691031i | 0.657087 | + | 0.0502651i | ||||
\(190\) | 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 | 0.918020 | − | 0.396534i | \(-0.129787\pi\) |
−0.802418 | + | 0.596762i | \(0.796454\pi\) | |||||||
\(200\) | −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 | ||||
\(203\) | 4.39952 | + | 3.00953i | 0.308786 | + | 0.211228i | ||||
\(204\) | −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 | ||||||||
\(210\) | −3.15554 | − | 6.57857i | −0.217753 | − | 0.453965i | ||||
\(211\) | 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 | ||||
\(217\) | −10.8212 | − | 12.6139i | −0.734592 | − | 0.856289i | ||||
\(218\) | −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 | 0.996910 | − | 0.0785566i | \(-0.0250311\pi\) |
−0.902627 | + | 0.430423i | \(0.858364\pi\) | |||||||
\(224\) | −17.4132 | − | 6.12342i | −1.16347 | − | 0.409138i | ||||
\(225\) | −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 | 0.247687 | − | 0.968840i | \(-0.420330\pi\) |
−0.269917 | + | 0.962884i | \(0.586996\pi\) | |||||||
\(228\) | −9.63221 | − | 2.58094i | −0.637909 | − | 0.170927i | ||||
\(229\) | 18.7465 | + | 18.7465i | 1.23880 | + | 1.23880i | 0.960491 | + | 0.278312i | \(0.0897748\pi\) |
0.278312 | + | 0.960491i | \(0.410225\pi\) | |||||||
\(230\) | −4.51199 | + | 2.60500i | −0.297512 | + | 0.171768i | ||||
\(231\) | 24.4330 | + | 8.59194i | 1.60757 | + | 0.565308i | ||||
\(232\) | 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 | ||||
\(238\) | 21.1232 | − | 18.1212i | 1.36922 | − | 1.17462i | ||||
\(239\) | 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 | \(-0.492312\pi\) |
0.478938 | − | 0.877849i | \(-0.341022\pi\) | |||||||
\(242\) | 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 | ||||
\(245\) | 2.24878 | − | 1.64894i | 0.143669 | − | 0.105347i | ||||
\(246\) | 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 | \(0.00978676\pi\) |
−0.473141 | + | 0.880987i | \(0.656880\pi\) | |||||||
\(252\) | −29.2886 | + | 42.8159i | −1.84501 | + | 2.69715i | ||||
\(253\) | 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 | −0.610323 | − | 0.792153i | \(-0.708960\pi\) |
0.991186 | + | 0.132479i | \(0.0422937\pi\) | |||||||
\(258\) | −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 | ||||
\(266\) | 0.417312 | − | 5.45528i | 0.0255870 | − | 0.334485i | ||||
\(267\) | 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 | −0.362609 | − | 0.931941i | \(-0.618114\pi\) |
0.625781 | + | 0.779999i | \(0.284781\pi\) | |||||||
\(270\) | −3.03309 | − | 1.75115i | −0.184588 | − | 0.106572i | ||||
\(271\) | 25.5915 | − | 6.85721i | 1.55457 | − | 0.416546i | 0.623631 | − | 0.781719i | \(-0.285657\pi\) |
0.930940 | + | 0.365173i | \(0.118990\pi\) | |||||||
\(272\) | 32.3711 | 1.96278 | ||||||||
\(273\) | 7.62732 | − | 24.5641i | 0.461626 | − | 1.48669i | ||||
\(274\) | 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 | ||||
\(280\) | 6.99300 | + | 0.534942i | 0.417912 | + | 0.0319689i | ||||
\(281\) | −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 | \(0.433823\pi\) |
−0.950580 | + | 0.310481i | \(0.899510\pi\) | |||||||
\(284\) | 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 | \(0.264577\pi\) |
−0.953065 | + | 0.302766i | \(0.902090\pi\) | |||||||
\(294\) | −44.3547 | − | 19.5155i | −2.58682 | − | 1.13817i | ||||
\(295\) | 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 | ||||||
\(301\) | −3.50264 | − | 7.30220i | −0.201889 | − | 0.420892i | ||||
\(302\) | −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 | 0.151252 | − | 0.988495i | \(-0.451670\pi\) |
−0.988495 | + | 0.151252i | \(0.951670\pi\) | |||||||
\(308\) | −33.4764 | + | 28.7187i | −1.90749 | + | 1.63640i | ||||
\(309\) | −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 | \(-0.446854\pi\) | ||||
0.166187 | + | 0.986094i | \(0.446854\pi\) | |||||||
\(312\) | 54.7859 | − | 34.3998i | 3.10164 | − | 1.94750i | ||||
\(313\) | 20.4076i | 1.15351i | 0.816918 | + | 0.576754i | \(0.195681\pi\) | ||||
−0.816918 | + | 0.576754i | \(0.804319\pi\) | |||||||
\(314\) | 9.30978 | + | 34.7446i | 0.525381 | + | 1.96075i | ||||
\(315\) | 1.49299 | − | 4.24561i | 0.0841203 | − | 0.239213i | ||||
\(316\) | −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 | ||||
\(322\) | −11.4790 | + | 32.6428i | −0.639699 | + | 1.81911i | ||||
\(323\) | 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 | ||||
\(329\) | −17.0375 | + | 14.6161i | −0.939308 | + | 0.805812i | ||||
\(330\) | −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 | ||||
\(336\) | −24.3763 | − | 50.8191i | −1.32984 | − | 2.77241i | ||||
\(337\) | 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 | ||||
\(343\) | 4.20497 | − | 18.0366i | 0.227047 | − | 0.973884i | ||||
\(344\) | 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 | −0.150986 | − | 0.988536i | \(-0.548245\pi\) |
0.363510 | + | 0.931590i | \(0.381578\pi\) | |||||||
\(350\) | 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 | \(-0.989779\pi\) |
0.849526 | − | 0.527547i | \(-0.176888\pi\) | |||||||
\(354\) | 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 | ||||
\(357\) | 29.1426 | + | 2.22932i | 1.54239 | + | 0.117988i | ||||
\(358\) | −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 | ||||||||
\(364\) | 29.7334 | + | 32.1654i | 1.55846 | + | 1.68592i | ||||
\(365\) | 1.97280 | 0.103261 | ||||||||
\(366\) | 18.5580 | − | 4.97261i | 0.970044 | − | 0.259923i | ||||
\(367\) | 21.5968 | + | 12.4689i | 1.12734 | + | 0.650873i | 0.943266 | − | 0.332039i | \(-0.107737\pi\) |
0.184079 | + | 0.982912i | \(0.441070\pi\) | |||||||
\(368\) | −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 | ||||
\(371\) | −1.83508 | + | 23.9890i | −0.0952726 | + | 1.24545i | ||||
\(372\) | 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 | 0.399223 | − | 0.916854i | \(-0.369280\pi\) |
−0.112690 | + | 0.993630i | \(0.535947\pi\) | |||||||
\(384\) | −5.95624 | + | 22.2290i | −0.303953 | + | 1.13437i | ||||
\(385\) | 2.16046 | − | 3.15830i | 0.110107 | − | 0.160962i | ||||
\(386\) | 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 | ||||||
\(392\) | 37.5636 | − | 27.5439i | 1.89725 | − | 1.39118i | ||||
\(393\) | −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 | −0.964531 | − | 0.263970i | \(-0.914968\pi\) |
0.967293 | + | 0.253660i | \(0.0816345\pi\) | |||||||
\(398\) | −5.92117 | − | 5.92117i | −0.296801 | − | 0.296801i | ||||
\(399\) | 4.36094 | − | 3.74116i | 0.218320 | − | 0.187292i | ||||
\(400\) | 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 | ||||
\(406\) | −12.9105 | − | 4.54003i | −0.640738 | − | 0.225318i | ||||
\(407\) | −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 | −0.00609589 | − | 0.999981i | \(-0.501940\pi\) |
−0.505270 | + | 0.862961i | \(0.668607\pi\) | |||||||
\(410\) | 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 | ||||
\(413\) | 18.5460 | + | 6.52176i | 0.912588 | + | 0.320915i | ||||
\(414\) | 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 | 0.477769 | − | 0.878485i | \(-0.341445\pi\) |
−0.521906 | + | 0.853003i | \(0.674779\pi\) | |||||||
\(420\) | 8.49640 | + | 9.90397i | 0.414582 | + | 0.483264i | ||||
\(421\) | −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 | ||||
\(427\) | 3.17572 | + | 6.62066i | 0.153684 | + | 0.320396i | ||||
\(428\) | − | 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 | 0.521488 | − | 0.853258i | \(-0.325377\pi\) |
−0.999688 | + | 0.0249929i | \(0.992044\pi\) | |||||||
\(434\) | 35.2182 | + | 24.0913i | 1.69053 | + | 1.15642i | ||||
\(435\) | 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 | −0.766219 | − | 0.642579i | \(-0.777864\pi\) |
0.939599 | + | 0.342276i | \(0.111198\pi\) | |||||||
\(440\) | 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 | ||||
\(448\) | 5.56720 | + | 0.425873i | 0.263025 | + | 0.0201206i | ||||
\(449\) | 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 | ||||||||
\(455\) | −3.21390 | − | 2.02782i | −0.150670 | − | 0.0950654i | ||||
\(456\) | 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 | 0.920295 | − | 0.391226i | \(-0.127949\pi\) |
0.601386 | + | 0.798959i | \(0.294615\pi\) | |||||||
\(462\) | −66.3022 | − | 5.07191i | −3.08466 | − | 0.235967i | ||||
\(463\) | 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 | \(-0.614019\pi\) | ||||
−0.350589 | + | 0.936529i | \(0.614019\pi\) | |||||||
\(468\) | 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 | ||||
\(476\) | −28.1028 | + | 41.0824i | −1.28809 | + | 1.88301i | ||||
\(477\) | 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 | 0.342881 | − | 0.939379i | \(-0.388597\pi\) |
0.766633 | + | 0.642086i | \(0.221931\pi\) | |||||||
\(480\) | 7.49368i | 0.342038i | ||||||||
\(481\) | 3.43590 | + | 5.47209i | 0.156664 | + | 0.249506i | ||||
\(482\) | 77.4746i | 3.52887i | ||||||||
\(483\) | −32.7645 | + | 15.7161i | −1.49084 | + | 0.715108i | ||||
\(484\) | −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 | ||||
\(490\) | −4.48116 | + | 5.58364i | −0.202438 | + | 0.252243i | ||||
\(491\) | −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 | ||||
\(497\) | −5.62195 | − | 1.97698i | −0.252179 | − | 0.0886798i | ||||
\(498\) | 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 | 0.121920 | − | 0.992540i | \(-0.461095\pi\) |
0.920525 | + | 0.390685i | \(0.127762\pi\) | |||||||
\(504\) | 24.9388 | − | 70.9186i | 1.11086 | − | 3.15897i | ||||
\(505\) | −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 | 0.931081 | − | 0.364814i | \(-0.118867\pi\) |
−0.988746 | + | 0.149602i | \(0.952201\pi\) | |||||||
\(510\) | −9.78497 | − | 5.64936i | −0.433286 | − | 0.250158i | ||||
\(511\) | 9.94446 | − | 8.53114i | 0.439917 | − | 0.377395i | ||||
\(512\) | −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 | ||||
\(518\) | 10.9758 | − | 5.26475i | 0.482249 | − | 0.231320i | ||||
\(519\) | 45.8549i | 2.01281i | ||||||||
\(520\) | −2.81425 | − | 9.13397i | −0.123413 | − | 0.400551i | ||||
\(521\) | 28.5686i | 1.25161i | 0.779979 | + | 0.625806i | \(0.215230\pi\) | ||||
−0.779979 | + | 0.625806i | \(0.784770\pi\) | |||||||
\(522\) | −21.3346 | + | 5.71658i | −0.933789 | + | 0.250208i | ||||
\(523\) | 15.9700 | + | 9.22026i | 0.698318 | + | 0.403174i | 0.806720 | − | 0.590933i | \(-0.201240\pi\) |
−0.108403 | + | 0.994107i | \(0.534574\pi\) | |||||||
\(524\) | −27.0261 | − | 46.8106i | −1.18064 | − | 2.04493i | ||||
\(525\) | 28.5053 | + | 19.4993i | 1.24407 | + | 0.851018i | ||||
\(526\) | 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 | ||||
\(539\) | −2.76726 | − | 25.2630i | −0.119194 | − | 1.08816i | ||||
\(540\) | 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 | ||||||||
\(546\) | −2.59253 | + | 65.9864i | −0.110950 | + | 2.82396i | ||||
\(547\) | 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 | ||||
\(553\) | 0.730457 | − | 9.54885i | 0.0310622 | − | 0.406058i | ||||
\(554\) | −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 | 0.906914 | − | 0.421316i | \(-0.138432\pi\) |
−0.818327 | + | 0.574752i | \(0.805098\pi\) | |||||||
\(564\) | −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 | ||||
\(567\) | 7.81132 | + | 5.34341i | 0.328045 | + | 0.224402i | ||||
\(568\) | −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 | ||||||||
\(574\) | 13.6894 | − | 6.56635i | 0.571382 | − | 0.274074i | ||||
\(575\) | 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 | −0.821645 | − | 0.569999i | \(-0.806944\pi\) |
0.569999 | + | 0.821645i | \(0.306944\pi\) | |||||||
\(578\) | −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 | ||||
\(581\) | 13.0771 | + | 15.2436i | 0.542530 | + | 0.632410i | ||||
\(582\) | −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 | \(-0.753526\pi\) |
0.269502 | − | 0.963000i | \(-0.413141\pi\) | |||||||
\(588\) | 85.6572 | + | 13.1822i | 3.53244 | + | 0.543623i | ||||
\(589\) | −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 | 0.560804 | − | 0.827949i | \(-0.310492\pi\) |
−0.827949 | + | 0.560804i | \(0.810492\pi\) | |||||||
\(594\) | −27.6427 | + | 15.9595i | −1.13420 | + | 0.654828i | ||||
\(595\) | 1.43254 | − | 4.07372i | 0.0587285 | − | 0.167006i | ||||
\(596\) | 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 | 0.885285 | − | 0.465049i | \(-0.153963\pi\) |
0.0398987 | + | 0.999204i | \(0.487296\pi\) | |||||||
\(602\) | 13.5388 | + | 15.7817i | 0.551798 | + | 0.643213i | ||||
\(603\) | −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 | −0.797018 | − | 0.603956i | \(-0.793590\pi\) |
0.124532 | + | 0.992216i | \(0.460257\pi\) | |||||||
\(608\) | −2.80964 | + | 4.86644i | −0.113946 | + | 0.197360i | ||||
\(609\) | −6.21586 | − | 12.9586i | −0.251879 | − | 0.525111i | ||||
\(610\) | − | 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 | ||||
\(616\) | 36.0883 | − | 52.7561i | 1.45404 | − | 2.12561i | ||||
\(617\) | −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 | 0.219945 | − | 0.975512i | \(-0.429412\pi\) |
−0.975512 | + | 0.219945i | \(0.929412\pi\) | |||||||
\(620\) | −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 | ||||
\(630\) | −0.881325 | + | 11.5211i | −0.0351128 | + | 0.459010i | ||||
\(631\) | −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 | ||||||||
\(637\) | −24.9697 | + | 3.67636i | −0.989334 | + | 0.145663i | ||||
\(638\) | −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 | −0.358353 | − | 0.933586i | \(-0.616662\pi\) |
−0.777136 | + | 0.629333i | \(0.783328\pi\) | |||||||
\(644\) | 4.72021 | − | 61.7047i | 0.186003 | − | 2.43151i | ||||
\(645\) | −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 | −0.968952 | − | 0.247249i | \(-0.920474\pi\) |
0.698600 | + | 0.715513i | \(0.253807\pi\) | |||||||
\(648\) | 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 | ||||
\(658\) | 32.5399 | − | 47.5689i | 1.26854 | − | 1.85443i | ||||
\(659\) | −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 | −0.0891132 | − | 0.996022i | \(-0.528403\pi\) |
0.420836 | + | 0.907137i | \(0.361737\pi\) | |||||||
\(662\) | 64.7224i | 2.51551i | ||||||||
\(663\) | −11.7281 | − | 38.0649i | −0.455482 | − | 1.47832i | ||||
\(664\) | 50.5135i | 1.96030i | ||||||||
\(665\) | −0.367145 | − | 0.765414i | −0.0142373 | − | 0.0296815i | ||||
\(666\) | 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 | ||||
\(672\) | 32.4056 | + | 37.7741i | 1.25007 | + | 1.45717i | ||||
\(673\) | 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 | \(0.149134\pi\) | ||||
−0.892239 | + | 0.451564i | \(0.850866\pi\) | |||||||
\(678\) | 13.6897 | + | 51.0908i | 0.525751 | + | 1.96213i | ||||
\(679\) | 7.01466 | − | 19.9476i | 0.269198 | − | 0.765519i | ||||
\(680\) | 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 | ||||
\(686\) | 1.55722 | + | 47.5243i | 0.0594548 | + | 1.81449i | ||||
\(687\) | −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 | \(0.262721\pi\) |
−0.220019 | + | 0.975496i | \(0.570612\pi\) | |||||||
\(692\) | −67.6287 | − | 39.0454i | −2.57086 | − | 1.48428i | ||||
\(693\) | −26.7061 | − | 31.1304i | −1.01448 | − | 1.18255i | ||||
\(694\) | 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 | ||||
\(700\) | −53.0305 | + | 25.4371i | −2.00437 | + | 0.961432i | ||||
\(701\) | − | 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 | ||||
\(707\) | −9.83206 | − | 6.72571i | −0.369773 | − | 0.252946i | ||||
\(708\) | −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 | 0.961203 | − | 0.275843i | \(-0.0889570\pi\) |
−0.719488 | + | 0.694504i | \(0.755624\pi\) | |||||||
\(720\) | −9.50324 | + | 9.50324i | −0.354165 | + | 0.354165i | ||||
\(721\) | −3.24902 | + | 42.4726i | −0.121000 | + | 1.58176i | ||||
\(722\) | 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 | \(-0.130856\pi\) | ||||
0.916684 | + | 0.399614i | \(0.130856\pi\) | |||||||
\(728\) | −53.6849 | − | 33.8726i | −1.98970 | − | 1.25540i | ||||
\(729\) | 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 | −0.101277 | − | 0.994858i | \(-0.532293\pi\) |
0.994858 | + | 0.101277i | \(0.0322930\pi\) | |||||||
\(734\) | −61.8450 | − | 16.5713i | −2.28274 | − | 0.611658i | ||||
\(735\) | −7.47405 | + | 0.818694i | −0.275685 | + | 0.0301980i | ||||
\(736\) | 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 | ||||
\(749\) | 23.6208 | + | 16.1580i | 0.863084 | + | 0.590400i | ||||
\(750\) | −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 | ||||||||
\(756\) | 37.5090 | − | 17.9919i | 1.36419 | − | 0.654359i | ||||
\(757\) | 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 | \(0.338090\pi\) |
−0.858457 | + | 0.512886i | \(0.828576\pi\) | |||||||
\(762\) | 61.5705 | + | 61.5705i | 2.23047 | + | 2.23047i | ||||
\(763\) | −6.69592 | + | 5.74428i | −0.242408 | + | 0.207957i | ||||
\(764\) | −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 | 0.985245 | − | 0.171148i | \(-0.0547478\pi\) |
−0.938822 | + | 0.344404i | \(0.888081\pi\) | |||||||
\(770\) | −3.25917 | + | 9.26811i | −0.117452 | + | 0.333999i | ||||
\(771\) | −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 | 0.784031 | − | 0.620722i | \(-0.213160\pi\) |
0.368630 | + | 0.929576i | \(0.379827\pi\) | |||||||
\(774\) | 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 | ||||
\(777\) | 12.0601 | + | 4.24099i | 0.432654 | + | 0.152145i | ||||
\(778\) | −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 | ||||
\(784\) | −34.6167 | + | 43.1333i | −1.23631 | + | 1.54048i | ||||
\(785\) | 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 | −0.882678 | − | 0.469978i | \(-0.844262\pi\) |
0.999411 | + | 0.0343257i | \(0.0109284\pi\) | |||||||
\(788\) | 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 | ||||
\(791\) | −18.2269 | + | 8.74286i | −0.648073 | + | 0.310860i | ||||
\(792\) | − | 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 | 0.792674 | − | 0.609646i | \(-0.208688\pi\) |
−0.924306 | + | 0.381652i | \(0.875355\pi\) | |||||||
\(798\) | −8.32897 | + | 12.1758i | −0.294842 | + | 0.431019i | ||||
\(799\) | −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 | −0.959110 | − | 0.283032i | \(-0.908660\pi\) |
0.283032 | + | 0.959110i | \(0.408660\pi\) | |||||||
\(812\) | 24.4047 | + | 1.86688i | 0.856438 | + | 0.0655148i | ||||
\(813\) | −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 | ||||||||
\(819\) | −29.9113 | + | 27.6498i | −1.04519 | + | 0.966162i | ||||
\(820\) | −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 | ||||
\(826\) | −50.3271 | − | 3.84986i | −1.75110 | − | 0.133954i | ||||
\(827\) | −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 | \(0.509998\pi\) |
−0.849896 | + | 0.526951i | \(0.823335\pi\) | |||||||
\(830\) | −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 | −0.999678 | − | 0.0253868i | \(-0.991918\pi\) |
0.878440 | + | 0.477853i | \(0.158585\pi\) | |||||||
\(840\) | −15.6079 | − | 10.6767i | −0.538523 | − | 0.368382i | ||||
\(841\) | 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 | ||||||
\(847\) | −2.49583 | − | 5.20324i | −0.0857577 | − | 0.178785i | ||||
\(848\) | 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 | \(-0.916034\pi\) |
−0.260737 | − | 0.965410i | \(-0.583966\pi\) | |||||||
\(854\) | −12.2751 | − | 14.3087i | −0.420047 | − | 0.489634i | ||||
\(855\) | −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 | \(-0.676746\pi\) | ||||
−0.527167 | + | 0.849761i | \(0.676746\pi\) | |||||||
\(858\) | 26.6826 | + | 86.6013i | 0.910928 | + | 2.95652i | ||||
\(859\) | − | 32.4866i | − | 1.10843i | −0.832374 | − | 0.554215i | \(-0.813019\pi\) | ||
0.832374 | − | 0.554215i | \(-0.186981\pi\) | |||||||
\(860\) | −1.44921 | − | 5.40851i | −0.0494175 | − | 0.184429i | ||||
\(861\) | 15.0417 | + | 5.28949i | 0.512621 | + | 0.180265i | ||||
\(862\) | −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 | ||||
\(868\) | −71.9919 | − | 25.3162i | −2.44356 | − | 0.859289i | ||||
\(869\) | −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 | ||||
\(875\) | 7.87251 | − | 6.75366i | 0.266140 | − | 0.228315i | ||||
\(876\) | 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 | −0.917210 | − | 0.398403i | \(-0.869564\pi\) |
0.803633 | + | 0.595126i | \(0.202898\pi\) | |||||||
\(882\) | 45.3790 | + | 61.8865i | 1.52799 | + | 2.08383i | ||||
\(883\) | 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 | 0.197123 | − | 0.980379i | \(-0.436840\pi\) |
−0.750471 | + | 0.660903i | \(0.770173\pi\) | |||||||
\(888\) | 16.0765 | + | 27.8452i | 0.539491 | + | 0.934425i | ||||
\(889\) | −18.7892 | + | 27.4672i | −0.630169 | + | 0.921221i | ||||
\(890\) | −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 | ||||
\(903\) | −1.66558 | + | 21.7731i | −0.0554269 | + | 0.724565i | ||||
\(904\) | −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 | ||||||||
\(910\) | 9.31785 | + | 2.89326i | 0.308884 | + | 0.0959105i | ||||
\(911\) | −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 | ||||
\(917\) | 31.0538 | + | 2.37551i | 1.02549 | + | 0.0784464i | ||||
\(918\) | −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 | −0.317555 | − | 0.948240i | \(-0.602862\pi\) |
−0.749130 | + | 0.662423i | \(0.769528\pi\) | |||||||
\(930\) | 4.48349 | − | 16.7326i | 0.147020 | − | 0.548684i | ||||
\(931\) | −5.16065 | − | 2.27062i | −0.169133 | − | 0.0744164i | ||||
\(932\) | 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 | \(0.0504061\pi\) | ||||
−0.987488 | + | 0.157694i | \(0.949594\pi\) | |||||||
\(938\) | 14.7771 | + | 30.8070i | 0.482490 | + | 1.00588i | ||||
\(939\) | 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 | −0.551054 | − | 0.834470i | \(-0.685774\pi\) |
0.834470 | + | 0.551054i | \(0.185774\pi\) | |||||||
\(942\) | 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 | ||||
\(945\) | −2.73926 | + | 2.34995i | −0.0891080 | + | 0.0764438i | ||||
\(946\) | 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 | ||||
\(952\) | 23.9291 | − | 68.0474i | 0.775547 | − | 2.20543i | ||||
\(953\) | −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 | ||||
\(959\) | 11.4284 | − | 32.4991i | 0.369043 | − | 1.04945i | ||||
\(960\) | −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 | ||||
\(966\) | 70.8114 | − | 60.7476i | 2.27832 | − | 1.95452i | ||||
\(967\) | −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 | 0.294342 | − | 0.955700i | \(-0.404900\pi\) |
0.974832 | + | 0.222943i | \(0.0715663\pi\) | |||||||
\(972\) | −45.7291 | + | 79.2051i | −1.46676 | + | 2.54050i | ||||
\(973\) | 9.90665 | + | 20.6531i | 0.317593 | + | 0.662108i | ||||
\(974\) | − | 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 | ||||
\(980\) | 5.15671 | − | 11.7202i | 0.164725 | − | 0.374387i | ||||
\(981\) | −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 | 0.983566 | − | 0.180549i | \(-0.0577874\pi\) |
−0.180549 | + | 0.983566i | \(0.557787\pi\) | |||||||
\(984\) | 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 | ||||
\(994\) | 15.2560 | + | 1.16703i | 0.483889 | + | 0.0370160i | ||||
\(995\) | −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 | −0.395816 | − | 0.918330i | \(-0.629538\pi\) |
0.597389 | + | 0.801952i | \(0.296205\pi\) | |||||||
\(998\) | −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.20.1 | ✓ | 32 | |
3.2 | odd | 2 | 819.2.fm.g.748.8 | 32 | |||
7.2 | even | 3 | 637.2.bb.b.423.8 | 32 | |||
7.3 | odd | 6 | 637.2.x.b.215.7 | 32 | |||
7.4 | even | 3 | 637.2.x.b.215.8 | 32 | |||
7.5 | odd | 6 | 637.2.bb.b.423.7 | 32 | |||
7.6 | odd | 2 | inner | 91.2.bc.a.20.2 | yes | 32 | |
13.2 | odd | 12 | inner | 91.2.bc.a.41.2 | yes | 32 | |
21.20 | even | 2 | 819.2.fm.g.748.7 | 32 | |||
39.2 | even | 12 | 819.2.fm.g.496.7 | 32 | |||
91.2 | odd | 12 | 637.2.x.b.80.8 | 32 | |||
91.41 | even | 12 | inner | 91.2.bc.a.41.1 | yes | 32 | |
91.54 | even | 12 | 637.2.x.b.80.7 | 32 | |||
91.67 | odd | 12 | 637.2.bb.b.509.7 | 32 | |||
91.80 | even | 12 | 637.2.bb.b.509.8 | 32 | |||
273.41 | odd | 12 | 819.2.fm.g.496.8 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bc.a.20.1 | ✓ | 32 | 1.1 | even | 1 | trivial | |
91.2.bc.a.20.2 | yes | 32 | 7.6 | odd | 2 | inner | |
91.2.bc.a.41.1 | yes | 32 | 91.41 | even | 12 | inner | |
91.2.bc.a.41.2 | yes | 32 | 13.2 | odd | 12 | inner | |
637.2.x.b.80.7 | 32 | 91.54 | even | 12 | |||
637.2.x.b.80.8 | 32 | 91.2 | odd | 12 | |||
637.2.x.b.215.7 | 32 | 7.3 | odd | 6 | |||
637.2.x.b.215.8 | 32 | 7.4 | even | 3 | |||
637.2.bb.b.423.7 | 32 | 7.5 | odd | 6 | |||
637.2.bb.b.423.8 | 32 | 7.2 | even | 3 | |||
637.2.bb.b.509.7 | 32 | 91.67 | odd | 12 | |||
637.2.bb.b.509.8 | 32 | 91.80 | even | 12 | |||
819.2.fm.g.496.7 | 32 | 39.2 | even | 12 | |||
819.2.fm.g.496.8 | 32 | 273.41 | odd | 12 | |||
819.2.fm.g.748.7 | 32 | 21.20 | even | 2 | |||
819.2.fm.g.748.8 | 32 | 3.2 | odd | 2 |