Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), not 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 415.3 | ||
Character | \(\chi\) | \(=\) | 722.415 |
Dual form | 722.2.e.s.595.3 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | − | 0.642788i | −0.541675 | − | 0.454519i | ||||
\(3\) | 1.20664 | − | 0.439181i | 0.696654 | − | 0.253561i | 0.0306722 | − | 0.999529i | \(-0.490235\pi\) |
0.665981 | + | 0.745968i | \(0.268013\pi\) | |||||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0.641755 | − | 3.63957i | 0.287001 | − | 1.62767i | −0.411046 | − | 0.911614i | \(-0.634837\pi\) |
0.698048 | − | 0.716051i | \(-0.254052\pi\) | |||||||
\(6\) | −1.20664 | − | 0.439181i | −0.492609 | − | 0.179295i | ||||
\(7\) | 0.221232 | + | 0.383185i | 0.0836177 | + | 0.144830i | 0.904801 | − | 0.425834i | \(-0.140019\pi\) |
−0.821184 | + | 0.570664i | \(0.806686\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −1.03503 | + | 0.868497i | −0.345011 | + | 0.289499i | ||||
\(10\) | −2.83108 | + | 2.37556i | −0.895267 | + | 0.751218i | ||||
\(11\) | 2.01484 | − | 3.48980i | 0.607496 | − | 1.05221i | −0.384156 | − | 0.923268i | \(-0.625507\pi\) |
0.991652 | − | 0.128946i | \(-0.0411593\pi\) | |||||||
\(12\) | 0.642040 | + | 1.11205i | 0.185341 | + | 0.321020i | ||||
\(13\) | 4.59650 | + | 1.67299i | 1.27484 | + | 0.464004i | 0.888722 | − | 0.458446i | \(-0.151594\pi\) |
0.386117 | + | 0.922450i | \(0.373816\pi\) | |||||||
\(14\) | 0.0768330 | − | 0.435741i | 0.0205345 | − | 0.116457i | ||||
\(15\) | −0.824064 | − | 4.67350i | −0.212772 | − | 1.20669i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 0.204452 | + | 0.171556i | 0.0495869 | + | 0.0416083i | 0.667244 | − | 0.744839i | \(-0.267474\pi\) |
−0.617657 | + | 0.786447i | \(0.711918\pi\) | |||||||
\(18\) | 1.35114 | 0.318467 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 3.69572 | 0.826388 | ||||||||
\(21\) | 0.435234 | + | 0.365205i | 0.0949759 | + | 0.0796943i | ||||
\(22\) | −3.78665 | + | 1.37823i | −0.807317 | + | 0.293839i | ||||
\(23\) | −1.59918 | − | 9.06939i | −0.333452 | − | 1.89110i | −0.442013 | − | 0.897009i | \(-0.645735\pi\) |
0.108561 | − | 0.994090i | \(-0.465376\pi\) | |||||||
\(24\) | 0.222978 | − | 1.26457i | 0.0455152 | − | 0.258129i | ||||
\(25\) | −8.13617 | − | 2.96132i | −1.62723 | − | 0.592265i | ||||
\(26\) | −2.44575 | − | 4.23616i | −0.479650 | − | 0.830779i | ||||
\(27\) | −2.79360 | + | 4.83866i | −0.537629 | + | 0.931201i | ||||
\(28\) | −0.338947 | + | 0.284410i | −0.0640549 | + | 0.0537484i | ||||
\(29\) | 0.171273 | − | 0.143715i | 0.0318047 | − | 0.0266873i | −0.626747 | − | 0.779223i | \(-0.715614\pi\) |
0.658551 | + | 0.752536i | \(0.271169\pi\) | |||||||
\(30\) | −2.37280 | + | 4.10980i | −0.433211 | + | 0.750344i | ||||
\(31\) | 1.73993 | + | 3.01364i | 0.312500 | + | 0.541266i | 0.978903 | − | 0.204326i | \(-0.0655002\pi\) |
−0.666403 | + | 0.745592i | \(0.732167\pi\) | |||||||
\(32\) | 0.939693 | + | 0.342020i | 0.166116 | + | 0.0604612i | ||||
\(33\) | 0.898528 | − | 5.09581i | 0.156414 | − | 0.887066i | ||||
\(34\) | −0.0463455 | − | 0.262838i | −0.00794818 | − | 0.0450764i | ||||
\(35\) | 1.53660 | − | 0.559278i | 0.259734 | − | 0.0945353i | ||||
\(36\) | −1.03503 | − | 0.868497i | −0.172506 | − | 0.144749i | ||||
\(37\) | −1.44903 | −0.238219 | −0.119109 | − | 0.992881i | \(-0.538004\pi\) | ||||
−0.119109 | + | 0.992881i | \(0.538004\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 6.28106 | 1.00577 | ||||||||
\(40\) | −2.83108 | − | 2.37556i | −0.447634 | − | 0.375609i | ||||
\(41\) | −7.39042 | + | 2.68989i | −1.15419 | + | 0.420091i | −0.847019 | − | 0.531563i | \(-0.821605\pi\) |
−0.307172 | + | 0.951654i | \(0.599383\pi\) | |||||||
\(42\) | −0.0986596 | − | 0.559526i | −0.0152235 | − | 0.0863368i | ||||
\(43\) | −0.978546 | + | 5.54961i | −0.149227 | + | 0.846307i | 0.814649 | + | 0.579955i | \(0.196930\pi\) |
−0.963876 | + | 0.266353i | \(0.914181\pi\) | |||||||
\(44\) | 3.78665 | + | 1.37823i | 0.570859 | + | 0.207776i | ||||
\(45\) | 2.49672 | + | 4.32444i | 0.372189 | + | 0.644650i | ||||
\(46\) | −4.60465 | + | 7.97549i | −0.678919 | + | 1.17592i | ||||
\(47\) | 1.68429 | − | 1.41328i | 0.245678 | − | 0.206149i | −0.511630 | − | 0.859206i | \(-0.670958\pi\) |
0.757309 | + | 0.653057i | \(0.226514\pi\) | |||||||
\(48\) | −0.983662 | + | 0.825390i | −0.141979 | + | 0.119135i | ||||
\(49\) | 3.40211 | − | 5.89263i | 0.486016 | − | 0.841805i | ||||
\(50\) | 4.32916 | + | 7.49833i | 0.612236 | + | 1.06042i | ||||
\(51\) | 0.322044 | + | 0.117214i | 0.0450951 | + | 0.0164133i | ||||
\(52\) | −0.849399 | + | 4.81718i | −0.117790 | + | 0.668022i | ||||
\(53\) | −1.72648 | − | 9.79136i | −0.237150 | − | 1.34495i | −0.838037 | − | 0.545613i | \(-0.816297\pi\) |
0.600887 | − | 0.799334i | \(-0.294814\pi\) | |||||||
\(54\) | 5.25026 | − | 1.91094i | 0.714470 | − | 0.260046i | ||||
\(55\) | −11.4083 | − | 9.57273i | −1.53830 | − | 1.29079i | ||||
\(56\) | 0.442463 | 0.0591267 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.223582 | −0.0293577 | ||||||||
\(59\) | 2.68845 | + | 2.25588i | 0.350007 | + | 0.293690i | 0.800793 | − | 0.598942i | \(-0.204412\pi\) |
−0.450786 | + | 0.892632i | \(0.648856\pi\) | |||||||
\(60\) | 4.45940 | − | 1.62309i | 0.575706 | − | 0.209540i | ||||
\(61\) | 0.708406 | + | 4.01757i | 0.0907021 | + | 0.514397i | 0.995980 | + | 0.0895771i | \(0.0285515\pi\) |
−0.905278 | + | 0.424820i | \(0.860337\pi\) | |||||||
\(62\) | 0.604270 | − | 3.42699i | 0.0767424 | − | 0.435228i | ||||
\(63\) | −0.561777 | − | 0.204470i | −0.0707772 | − | 0.0257608i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 9.03879 | − | 15.6556i | 1.12112 | − | 1.94184i | ||||
\(66\) | −3.96383 | + | 3.32605i | −0.487914 | + | 0.409409i | ||||
\(67\) | −0.113193 | + | 0.0949801i | −0.0138287 | + | 0.0116037i | −0.649676 | − | 0.760211i | \(-0.725095\pi\) |
0.635847 | + | 0.771815i | \(0.280651\pi\) | |||||||
\(68\) | −0.133446 | + | 0.231136i | −0.0161828 | + | 0.0280294i | ||||
\(69\) | −5.91273 | − | 10.2412i | −0.711810 | − | 1.23289i | ||||
\(70\) | −1.53660 | − | 0.559278i | −0.183659 | − | 0.0668465i | ||||
\(71\) | −1.99159 | + | 11.2949i | −0.236358 | + | 1.34046i | 0.603376 | + | 0.797457i | \(0.293822\pi\) |
−0.839734 | + | 0.542998i | \(0.817289\pi\) | |||||||
\(72\) | 0.234623 | + | 1.33061i | 0.0276506 | + | 0.156814i | ||||
\(73\) | −1.33649 | + | 0.486442i | −0.156424 | + | 0.0569337i | −0.419045 | − | 0.907965i | \(-0.637635\pi\) |
0.262621 | + | 0.964899i | \(0.415413\pi\) | |||||||
\(74\) | 1.11002 | + | 0.931417i | 0.129037 | + | 0.108275i | ||||
\(75\) | −11.1180 | −1.28379 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.78298 | 0.203190 | ||||||||
\(78\) | −4.81157 | − | 4.03739i | −0.544803 | − | 0.457144i | ||||
\(79\) | 9.58804 | − | 3.48976i | 1.07874 | − | 0.392629i | 0.259301 | − | 0.965797i | \(-0.416508\pi\) |
0.819438 | + | 0.573168i | \(0.194286\pi\) | |||||||
\(80\) | 0.641755 | + | 3.63957i | 0.0717503 | + | 0.406916i | ||||
\(81\) | −0.541955 | + | 3.07358i | −0.0602172 | + | 0.341509i | ||||
\(82\) | 7.39042 | + | 2.68989i | 0.816136 | + | 0.297049i | ||||
\(83\) | 1.64439 | + | 2.84817i | 0.180495 | + | 0.312627i | 0.942049 | − | 0.335475i | \(-0.108897\pi\) |
−0.761554 | + | 0.648101i | \(0.775563\pi\) | |||||||
\(84\) | −0.284079 | + | 0.492039i | −0.0309956 | + | 0.0536859i | ||||
\(85\) | 0.755596 | − | 0.634021i | 0.0819559 | − | 0.0687692i | ||||
\(86\) | 4.31683 | − | 3.62225i | 0.465496 | − | 0.390597i | ||||
\(87\) | 0.143548 | − | 0.248633i | 0.0153900 | − | 0.0266562i | ||||
\(88\) | −2.01484 | − | 3.48980i | −0.214782 | − | 0.372014i | ||||
\(89\) | −5.60127 | − | 2.03870i | −0.593733 | − | 0.216101i | 0.0276373 | − | 0.999618i | \(-0.491202\pi\) |
−0.621371 | + | 0.783517i | \(0.713424\pi\) | |||||||
\(90\) | 0.867101 | − | 4.91757i | 0.0914005 | − | 0.518358i | ||||
\(91\) | 0.375828 | + | 2.13143i | 0.0393975 | + | 0.223434i | ||||
\(92\) | 8.65391 | − | 3.14977i | 0.902233 | − | 0.328386i | ||||
\(93\) | 3.42300 | + | 2.87224i | 0.354948 | + | 0.297837i | ||||
\(94\) | −2.19868 | −0.226776 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.28408 | 0.131056 | ||||||||
\(97\) | −3.12911 | − | 2.62563i | −0.317713 | − | 0.266593i | 0.469958 | − | 0.882689i | \(-0.344269\pi\) |
−0.787671 | + | 0.616096i | \(0.788713\pi\) | |||||||
\(98\) | −6.39388 | + | 2.32718i | −0.645880 | + | 0.235081i | ||||
\(99\) | 0.945455 | + | 5.36194i | 0.0950218 | + | 0.538895i | ||||
\(100\) | 1.50350 | − | 8.52679i | 0.150350 | − | 0.852679i | ||||
\(101\) | −0.399630 | − | 0.145453i | −0.0397647 | − | 0.0144732i | 0.322061 | − | 0.946719i | \(-0.395624\pi\) |
−0.361826 | + | 0.932246i | \(0.617847\pi\) | |||||||
\(102\) | −0.171356 | − | 0.296797i | −0.0169668 | − | 0.0293873i | ||||
\(103\) | −2.26809 | + | 3.92845i | −0.223482 | + | 0.387081i | −0.955863 | − | 0.293813i | \(-0.905076\pi\) |
0.732381 | + | 0.680895i | \(0.238409\pi\) | |||||||
\(104\) | 3.74710 | − | 3.14419i | 0.367433 | − | 0.308313i | ||||
\(105\) | 1.60850 | − | 1.34969i | 0.156974 | − | 0.131717i | ||||
\(106\) | −4.97120 | + | 8.61038i | −0.482846 | + | 0.836314i | ||||
\(107\) | −1.58576 | − | 2.74661i | −0.153301 | − | 0.265525i | 0.779138 | − | 0.626852i | \(-0.215657\pi\) |
−0.932439 | + | 0.361327i | \(0.882324\pi\) | |||||||
\(108\) | −5.25026 | − | 1.91094i | −0.505206 | − | 0.183880i | ||||
\(109\) | 1.17753 | − | 6.67810i | 0.112787 | − | 0.639646i | −0.875035 | − | 0.484059i | \(-0.839162\pi\) |
0.987822 | − | 0.155587i | \(-0.0497268\pi\) | |||||||
\(110\) | 2.58606 | + | 14.6663i | 0.246571 | + | 1.39837i | ||||
\(111\) | −1.74845 | + | 0.636385i | −0.165956 | + | 0.0604030i | ||||
\(112\) | −0.338947 | − | 0.284410i | −0.0320275 | − | 0.0268742i | ||||
\(113\) | 10.0444 | 0.944893 | 0.472447 | − | 0.881359i | \(-0.343371\pi\) | ||||
0.472447 | + | 0.881359i | \(0.343371\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −34.0350 | −3.17378 | ||||||||
\(116\) | 0.171273 | + | 0.143715i | 0.0159023 | + | 0.0133436i | ||||
\(117\) | −6.21052 | + | 2.26044i | −0.574163 | + | 0.208978i | ||||
\(118\) | −0.609423 | − | 3.45621i | −0.0561019 | − | 0.318170i | ||||
\(119\) | −0.0205062 | + | 0.116296i | −0.00187980 | + | 0.0106609i | ||||
\(120\) | −4.45940 | − | 1.62309i | −0.407086 | − | 0.148167i | ||||
\(121\) | −2.61913 | − | 4.53647i | −0.238103 | − | 0.412406i | ||||
\(122\) | 2.03977 | − | 3.53299i | 0.184672 | − | 0.319862i | ||||
\(123\) | −7.73623 | + | 6.49146i | −0.697552 | + | 0.585316i | ||||
\(124\) | −2.66572 | + | 2.23681i | −0.239389 | + | 0.200871i | ||||
\(125\) | −6.76007 | + | 11.7088i | −0.604639 | + | 1.04727i | ||||
\(126\) | 0.298915 | + | 0.517736i | 0.0266295 | + | 0.0461236i | ||||
\(127\) | 13.2314 | + | 4.81584i | 1.17410 | + | 0.427337i | 0.854114 | − | 0.520086i | \(-0.174100\pi\) |
0.319985 | + | 0.947423i | \(0.396322\pi\) | |||||||
\(128\) | −0.173648 | + | 0.984808i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | 1.25653 | + | 7.12614i | 0.110631 | + | 0.627421i | ||||
\(130\) | −16.9874 | + | 6.18289i | −1.48989 | + | 0.542276i | ||||
\(131\) | 12.1353 | + | 10.1827i | 1.06027 | + | 0.889669i | 0.994135 | − | 0.108142i | \(-0.0344903\pi\) |
0.0661303 | + | 0.997811i | \(0.478935\pi\) | |||||||
\(132\) | 5.17442 | 0.450375 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0.147763 | 0.0127648 | ||||||||
\(135\) | 15.8179 | + | 13.2728i | 1.36138 | + | 1.14234i | ||||
\(136\) | 0.250797 | − | 0.0912828i | 0.0215057 | − | 0.00782743i | ||||
\(137\) | 0.383317 | + | 2.17390i | 0.0327490 | + | 0.185729i | 0.996794 | − | 0.0800100i | \(-0.0254952\pi\) |
−0.964045 | + | 0.265739i | \(0.914384\pi\) | |||||||
\(138\) | −2.05347 | + | 11.6458i | −0.174803 | + | 0.991358i | ||||
\(139\) | 16.0353 | + | 5.83638i | 1.36010 | + | 0.495036i | 0.916085 | − | 0.400984i | \(-0.131332\pi\) |
0.444014 | + | 0.896020i | \(0.353554\pi\) | |||||||
\(140\) | 0.817610 | + | 1.41614i | 0.0691007 | + | 0.119686i | ||||
\(141\) | 1.41164 | − | 2.44503i | 0.118881 | − | 0.205909i | ||||
\(142\) | 8.78585 | − | 7.37221i | 0.737293 | − | 0.618662i | ||||
\(143\) | 15.0996 | − | 12.6701i | 1.26269 | − | 1.05952i | ||||
\(144\) | 0.675571 | − | 1.17012i | 0.0562975 | − | 0.0975102i | ||||
\(145\) | −0.413147 | − | 0.715592i | −0.0343100 | − | 0.0594267i | ||||
\(146\) | 1.33649 | + | 0.486442i | 0.110608 | + | 0.0402582i | ||||
\(147\) | 1.51719 | − | 8.60443i | 0.125136 | − | 0.709681i | ||||
\(148\) | −0.251621 | − | 1.42701i | −0.0206831 | − | 0.117300i | ||||
\(149\) | −12.7289 | + | 4.63292i | −1.04279 | + | 0.379544i | −0.805937 | − | 0.592002i | \(-0.798338\pi\) |
−0.236852 | + | 0.971546i | \(0.576116\pi\) | |||||||
\(150\) | 8.51686 | + | 7.14650i | 0.695399 | + | 0.583509i | ||||
\(151\) | 9.15317 | 0.744875 | 0.372437 | − | 0.928057i | \(-0.378522\pi\) | ||||
0.372437 | + | 0.928057i | \(0.378522\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.360610 | −0.0291536 | ||||||||
\(154\) | −1.36584 | − | 1.14608i | −0.110063 | − | 0.0923537i | ||||
\(155\) | 12.0850 | − | 4.39857i | 0.970688 | − | 0.353302i | ||||
\(156\) | 1.09069 | + | 6.18564i | 0.0873255 | + | 0.495247i | ||||
\(157\) | −2.84614 | + | 16.1413i | −0.227147 | + | 1.28821i | 0.631391 | + | 0.775464i | \(0.282484\pi\) |
−0.858538 | + | 0.512750i | \(0.828627\pi\) | |||||||
\(158\) | −9.58804 | − | 3.48976i | −0.762783 | − | 0.277630i | ||||
\(159\) | −6.38342 | − | 11.0564i | −0.506238 | − | 0.876830i | ||||
\(160\) | 1.84786 | − | 3.20059i | 0.146086 | − | 0.253028i | ||||
\(161\) | 3.12146 | − | 2.61922i | 0.246006 | − | 0.206423i | ||||
\(162\) | 2.39082 | − | 2.00614i | 0.187841 | − | 0.157617i | ||||
\(163\) | 6.88612 | − | 11.9271i | 0.539363 | − | 0.934204i | −0.459576 | − | 0.888139i | \(-0.651998\pi\) |
0.998938 | − | 0.0460652i | \(-0.0146682\pi\) | |||||||
\(164\) | −3.93236 | − | 6.81105i | −0.307066 | − | 0.531854i | ||||
\(165\) | −17.9699 | − | 6.54052i | −1.39896 | − | 0.509178i | ||||
\(166\) | 0.571090 | − | 3.23881i | 0.0443252 | − | 0.251381i | ||||
\(167\) | 1.79427 | + | 10.1758i | 0.138845 | + | 0.787429i | 0.972105 | + | 0.234547i | \(0.0753607\pi\) |
−0.833260 | + | 0.552882i | \(0.813528\pi\) | |||||||
\(168\) | 0.533894 | − | 0.194322i | 0.0411908 | − | 0.0149922i | ||||
\(169\) | 8.37033 | + | 7.02354i | 0.643871 | + | 0.540272i | ||||
\(170\) | −0.986361 | −0.0756504 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.63522 | −0.429682 | ||||||||
\(173\) | 7.51644 | + | 6.30704i | 0.571464 | + | 0.479515i | 0.882131 | − | 0.471003i | \(-0.156108\pi\) |
−0.310667 | + | 0.950519i | \(0.600552\pi\) | |||||||
\(174\) | −0.269782 | + | 0.0981928i | −0.0204521 | + | 0.00744397i | ||||
\(175\) | −0.665245 | − | 3.77279i | −0.0502878 | − | 0.285196i | ||||
\(176\) | −0.699745 | + | 3.96845i | −0.0527453 | + | 0.299133i | ||||
\(177\) | 4.23473 | + | 1.54132i | 0.318302 | + | 0.115852i | ||||
\(178\) | 2.98037 | + | 5.16216i | 0.223388 | + | 0.386920i | ||||
\(179\) | −4.39915 | + | 7.61955i | −0.328808 | + | 0.569512i | −0.982276 | − | 0.187442i | \(-0.939980\pi\) |
0.653468 | + | 0.756955i | \(0.273314\pi\) | |||||||
\(180\) | −3.82519 | + | 3.20972i | −0.285113 | + | 0.239238i | ||||
\(181\) | −11.1289 | + | 9.33826i | −0.827205 | + | 0.694107i | −0.954647 | − | 0.297739i | \(-0.903768\pi\) |
0.127443 | + | 0.991846i | \(0.459323\pi\) | |||||||
\(182\) | 1.08215 | − | 1.87434i | 0.0802145 | − | 0.138936i | ||||
\(183\) | 2.61923 | + | 4.53664i | 0.193619 | + | 0.335358i | ||||
\(184\) | −8.65391 | − | 3.14977i | −0.637975 | − | 0.232204i | ||||
\(185\) | −0.929920 | + | 5.27384i | −0.0683691 | + | 0.387740i | ||||
\(186\) | −0.775931 | − | 4.40052i | −0.0568940 | − | 0.322662i | ||||
\(187\) | 1.01063 | − | 0.367840i | 0.0739047 | − | 0.0268991i | ||||
\(188\) | 1.68429 | + | 1.41328i | 0.122839 | + | 0.103074i | ||||
\(189\) | −2.47214 | −0.179821 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.7302 | 0.921122 | 0.460561 | − | 0.887628i | \(-0.347648\pi\) | ||||
0.460561 | + | 0.887628i | \(0.347648\pi\) | |||||||
\(192\) | −0.983662 | − | 0.825390i | −0.0709897 | − | 0.0595674i | ||||
\(193\) | 16.4240 | − | 5.97785i | 1.18223 | − | 0.430295i | 0.325238 | − | 0.945632i | \(-0.394556\pi\) |
0.856987 | + | 0.515337i | \(0.172333\pi\) | |||||||
\(194\) | 0.709311 | + | 4.02270i | 0.0509255 | + | 0.288813i | ||||
\(195\) | 4.03090 | − | 22.8604i | 0.288659 | − | 1.63707i | ||||
\(196\) | 6.39388 | + | 2.32718i | 0.456706 | + | 0.166227i | ||||
\(197\) | 12.2556 | + | 21.2274i | 0.873178 | + | 1.51239i | 0.858691 | + | 0.512494i | \(0.171278\pi\) |
0.0144872 | + | 0.999895i | \(0.495388\pi\) | |||||||
\(198\) | 2.72233 | − | 4.71521i | 0.193467 | − | 0.335095i | ||||
\(199\) | 12.6138 | − | 10.5842i | 0.894166 | − | 0.750294i | −0.0748752 | − | 0.997193i | \(-0.523856\pi\) |
0.969041 | + | 0.246898i | \(0.0794114\pi\) | |||||||
\(200\) | −6.63266 | + | 5.56547i | −0.469000 | + | 0.393538i | ||||
\(201\) | −0.0948696 | + | 0.164319i | −0.00669159 | + | 0.0115902i | ||||
\(202\) | 0.212639 | + | 0.368301i | 0.0149612 | + | 0.0259136i | ||||
\(203\) | 0.0929607 | + | 0.0338349i | 0.00652456 | + | 0.00237475i | ||||
\(204\) | −0.0595113 | + | 0.337505i | −0.00416662 | + | 0.0236301i | ||||
\(205\) | 5.04722 | + | 28.6242i | 0.352513 | + | 1.99920i | ||||
\(206\) | 4.26262 | − | 1.55147i | 0.296990 | − | 0.108096i | ||||
\(207\) | 9.53194 | + | 7.99825i | 0.662516 | + | 0.555917i | ||||
\(208\) | −4.89149 | −0.339164 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −2.09975 | −0.144897 | ||||||||
\(211\) | −21.0512 | − | 17.6641i | −1.44923 | − | 1.21605i | −0.933141 | − | 0.359510i | \(-0.882944\pi\) |
−0.516086 | − | 0.856537i | \(-0.672612\pi\) | |||||||
\(212\) | 9.34281 | − | 3.40050i | 0.641667 | − | 0.233548i | ||||
\(213\) | 2.55736 | + | 14.5035i | 0.175227 | + | 0.993764i | ||||
\(214\) | −0.550728 | + | 3.12333i | −0.0376470 | + | 0.213507i | ||||
\(215\) | 19.5702 | + | 7.12297i | 1.33468 | + | 0.485783i | ||||
\(216\) | 2.79360 | + | 4.83866i | 0.190081 | + | 0.329229i | ||||
\(217\) | −0.769854 | + | 1.33343i | −0.0522611 | + | 0.0905189i | ||||
\(218\) | −5.19464 | + | 4.35882i | −0.351825 | + | 0.295216i | ||||
\(219\) | −1.39902 | + | 1.17392i | −0.0945372 | + | 0.0793261i | ||||
\(220\) | 7.44627 | − | 12.8973i | 0.502027 | − | 0.869536i | ||||
\(221\) | 0.652752 | + | 1.13060i | 0.0439089 | + | 0.0760524i | ||||
\(222\) | 1.74845 | + | 0.636385i | 0.117349 | + | 0.0427114i | ||||
\(223\) | −3.53732 | + | 20.0611i | −0.236876 | + | 1.34339i | 0.601750 | + | 0.798684i | \(0.294470\pi\) |
−0.838626 | + | 0.544707i | \(0.816641\pi\) | |||||||
\(224\) | 0.0768330 | + | 0.435741i | 0.00513362 | + | 0.0291142i | ||||
\(225\) | 10.9931 | − | 4.00116i | 0.732874 | − | 0.266744i | ||||
\(226\) | −7.69442 | − | 6.45638i | −0.511825 | − | 0.429472i | ||||
\(227\) | 22.1493 | 1.47010 | 0.735051 | − | 0.678011i | \(-0.237158\pi\) | ||||
0.735051 | + | 0.678011i | \(0.237158\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 12.7148 | 0.840216 | 0.420108 | − | 0.907474i | \(-0.361992\pi\) | ||||
0.420108 | + | 0.907474i | \(0.361992\pi\) | |||||||
\(230\) | 26.0723 | + | 21.8773i | 1.71916 | + | 1.44254i | ||||
\(231\) | 2.15142 | − | 0.783052i | 0.141553 | − | 0.0515210i | ||||
\(232\) | −0.0388245 | − | 0.220185i | −0.00254896 | − | 0.0144558i | ||||
\(233\) | −1.50757 | + | 8.54987i | −0.0987644 | + | 0.560120i | 0.894764 | + | 0.446539i | \(0.147343\pi\) |
−0.993529 | + | 0.113582i | \(0.963768\pi\) | |||||||
\(234\) | 6.21052 | + | 2.26044i | 0.405994 | + | 0.147770i | ||||
\(235\) | −4.06285 | − | 7.03706i | −0.265031 | − | 0.459047i | ||||
\(236\) | −1.75476 | + | 3.03934i | −0.114225 | + | 0.197844i | ||||
\(237\) | 10.0367 | − | 8.42177i | 0.651952 | − | 0.547053i | ||||
\(238\) | 0.0904625 | − | 0.0759070i | 0.00586381 | − | 0.00492032i | ||||
\(239\) | −10.9375 | + | 18.9442i | −0.707485 | + | 1.22540i | 0.258302 | + | 0.966064i | \(0.416837\pi\) |
−0.965787 | + | 0.259336i | \(0.916496\pi\) | |||||||
\(240\) | 2.37280 | + | 4.10980i | 0.153163 | + | 0.265287i | ||||
\(241\) | −17.8196 | − | 6.48580i | −1.14786 | − | 0.417787i | −0.303114 | − | 0.952954i | \(-0.598026\pi\) |
−0.844746 | + | 0.535167i | \(0.820249\pi\) | |||||||
\(242\) | −0.909614 | + | 5.15868i | −0.0584722 | + | 0.331612i | ||||
\(243\) | −2.21471 | − | 12.5603i | −0.142074 | − | 0.805741i | ||||
\(244\) | −3.83352 | + | 1.39529i | −0.245416 | + | 0.0893241i | ||||
\(245\) | −19.2633 | − | 16.1639i | −1.23069 | − | 1.03267i | ||||
\(246\) | 10.0989 | 0.643884 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 3.47985 | 0.220971 | ||||||||
\(249\) | 3.23505 | + | 2.71453i | 0.205013 | + | 0.172026i | ||||
\(250\) | 12.7048 | − | 4.62416i | 0.803521 | − | 0.292458i | ||||
\(251\) | 0.504058 | + | 2.85866i | 0.0318159 | + | 0.180437i | 0.996575 | − | 0.0826996i | \(-0.0263542\pi\) |
−0.964759 | + | 0.263136i | \(0.915243\pi\) | |||||||
\(252\) | 0.103812 | − | 0.588748i | 0.00653955 | − | 0.0370876i | ||||
\(253\) | −34.8724 | − | 12.6925i | −2.19241 | − | 0.797972i | ||||
\(254\) | −7.04029 | − | 12.1941i | −0.441747 | − | 0.765129i | ||||
\(255\) | 0.633283 | − | 1.09688i | 0.0396577 | − | 0.0686892i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −17.5463 | + | 14.7231i | −1.09451 | + | 0.918399i | −0.997043 | − | 0.0768399i | \(-0.975517\pi\) |
−0.0974623 | + | 0.995239i | \(0.531073\pi\) | |||||||
\(258\) | 3.61803 | − | 6.26662i | 0.225249 | − | 0.390143i | ||||
\(259\) | −0.320571 | − | 0.555245i | −0.0199193 | − | 0.0345013i | ||||
\(260\) | 16.9874 | + | 6.18289i | 1.05351 | + | 0.383447i | ||||
\(261\) | −0.0524574 | + | 0.297501i | −0.00324703 | + | 0.0184148i | ||||
\(262\) | −2.75085 | − | 15.6008i | −0.169948 | − | 0.963823i | ||||
\(263\) | 4.75706 | − | 1.73143i | 0.293333 | − | 0.106765i | −0.191162 | − | 0.981559i | \(-0.561226\pi\) |
0.484495 | + | 0.874794i | \(0.339003\pi\) | |||||||
\(264\) | −3.96383 | − | 3.32605i | −0.243957 | − | 0.204704i | ||||
\(265\) | −36.7443 | −2.25719 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −7.65407 | −0.468421 | ||||||||
\(268\) | −0.113193 | − | 0.0949801i | −0.00691436 | − | 0.00580184i | ||||
\(269\) | −19.4910 | + | 7.09416i | −1.18839 | + | 0.432539i | −0.859158 | − | 0.511711i | \(-0.829012\pi\) |
−0.329232 | + | 0.944249i | \(0.606790\pi\) | |||||||
\(270\) | −3.58562 | − | 20.3350i | −0.218214 | − | 1.23755i | ||||
\(271\) | 1.09306 | − | 6.19907i | 0.0663989 | − | 0.376567i | −0.933442 | − | 0.358728i | \(-0.883210\pi\) |
0.999841 | − | 0.0178384i | \(-0.00567843\pi\) | |||||||
\(272\) | −0.250797 | − | 0.0912828i | −0.0152068 | − | 0.00553483i | ||||
\(273\) | 1.38957 | + | 2.40681i | 0.0841006 | + | 0.145667i | ||||
\(274\) | 1.10372 | − | 1.91169i | 0.0666780 | − | 0.115490i | ||||
\(275\) | −26.7275 | + | 22.4270i | −1.61173 | + | 1.35240i | ||||
\(276\) | 9.05883 | − | 7.60127i | 0.545278 | − | 0.457542i | ||||
\(277\) | −3.58804 | + | 6.21467i | −0.215584 | + | 0.373403i | −0.953453 | − | 0.301541i | \(-0.902499\pi\) |
0.737869 | + | 0.674944i | \(0.235832\pi\) | |||||||
\(278\) | −8.53222 | − | 14.7782i | −0.511729 | − | 0.886340i | ||||
\(279\) | −4.41822 | − | 1.60810i | −0.264512 | − | 0.0962745i | ||||
\(280\) | 0.283953 | − | 1.61038i | 0.0169694 | − | 0.0962385i | ||||
\(281\) | −0.481685 | − | 2.73177i | −0.0287349 | − | 0.162964i | 0.967064 | − | 0.254535i | \(-0.0819223\pi\) |
−0.995799 | + | 0.0915709i | \(0.970811\pi\) | |||||||
\(282\) | −2.65301 | + | 0.965618i | −0.157985 | + | 0.0575017i | ||||
\(283\) | 5.93578 | + | 4.98071i | 0.352846 | + | 0.296073i | 0.801931 | − | 0.597416i | \(-0.203806\pi\) |
−0.449086 | + | 0.893489i | \(0.648250\pi\) | |||||||
\(284\) | −11.4691 | −0.680567 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −19.7111 | −1.16554 | ||||||||
\(287\) | −2.66572 | − | 2.23681i | −0.157353 | − | 0.132035i | ||||
\(288\) | −1.26966 | + | 0.462117i | −0.0748153 | + | 0.0272305i | ||||
\(289\) | −2.93965 | − | 16.6716i | −0.172921 | − | 0.980681i | ||||
\(290\) | −0.143485 | + | 0.813741i | −0.00842570 | + | 0.0477845i | ||||
\(291\) | −4.92883 | − | 1.79395i | −0.288933 | − | 0.105163i | ||||
\(292\) | −0.711130 | − | 1.23171i | −0.0416157 | − | 0.0720806i | ||||
\(293\) | −0.391435 | + | 0.677985i | −0.0228679 | + | 0.0396083i | −0.877233 | − | 0.480065i | \(-0.840613\pi\) |
0.854365 | + | 0.519673i | \(0.173946\pi\) | |||||||
\(294\) | −6.69306 | + | 5.61614i | −0.390347 | + | 0.327540i | ||||
\(295\) | 9.93576 | − | 8.33709i | 0.578482 | − | 0.485404i | ||||
\(296\) | −0.724514 | + | 1.25490i | −0.0421115 | + | 0.0729393i | ||||
\(297\) | 11.2573 | + | 19.4982i | 0.653215 | + | 1.13140i | ||||
\(298\) | 12.7289 | + | 4.63292i | 0.737363 | + | 0.268378i | ||||
\(299\) | 7.82237 | − | 44.3628i | 0.452379 | − | 2.56557i | ||||
\(300\) | −1.93062 | − | 10.9491i | −0.111464 | − | 0.632145i | ||||
\(301\) | −2.34301 | + | 0.852786i | −0.135049 | + | 0.0491538i | ||||
\(302\) | −7.01174 | − | 5.88355i | −0.403480 | − | 0.338560i | ||||
\(303\) | −0.546090 | −0.0313720 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 15.0769 | 0.863298 | ||||||||
\(306\) | 0.276243 | + | 0.231796i | 0.0157918 | + | 0.0132509i | ||||
\(307\) | −26.4700 | + | 9.63429i | −1.51072 | + | 0.549858i | −0.958811 | − | 0.284045i | \(-0.908324\pi\) |
−0.551911 | + | 0.833903i | \(0.686101\pi\) | |||||||
\(308\) | 0.309612 | + | 1.75590i | 0.0176418 | + | 0.100051i | ||||
\(309\) | −1.01147 | + | 5.73632i | −0.0575404 | + | 0.326328i | ||||
\(310\) | −12.0850 | − | 4.39857i | −0.686380 | − | 0.249822i | ||||
\(311\) | −1.93414 | − | 3.35002i | −0.109675 | − | 0.189962i | 0.805964 | − | 0.591965i | \(-0.201648\pi\) |
−0.915639 | + | 0.402003i | \(0.868314\pi\) | |||||||
\(312\) | 3.14053 | − | 5.43956i | 0.177798 | − | 0.307954i | ||||
\(313\) | 23.2784 | − | 19.5329i | 1.31577 | − | 1.10406i | 0.328589 | − | 0.944473i | \(-0.393427\pi\) |
0.987183 | − | 0.159591i | \(-0.0510175\pi\) | |||||||
\(314\) | 12.5557 | − | 10.5355i | 0.708558 | − | 0.594551i | ||||
\(315\) | −1.10471 | + | 1.91341i | −0.0622432 | + | 0.107808i | ||||
\(316\) | 5.10169 | + | 8.83638i | 0.286992 | + | 0.497085i | ||||
\(317\) | 5.00671 | + | 1.82229i | 0.281205 | + | 0.102350i | 0.478772 | − | 0.877939i | \(-0.341082\pi\) |
−0.197567 | + | 0.980289i | \(0.563304\pi\) | |||||||
\(318\) | −2.21694 | + | 12.5729i | −0.124320 | + | 0.705052i | ||||
\(319\) | −0.156450 | − | 0.887273i | −0.00875953 | − | 0.0496777i | ||||
\(320\) | −3.47284 | + | 1.26401i | −0.194138 | + | 0.0706603i | ||||
\(321\) | −3.11970 | − | 2.61774i | −0.174124 | − | 0.146108i | ||||
\(322\) | −4.07478 | −0.227079 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −3.12099 | −0.173389 | ||||||||
\(325\) | −32.4436 | − | 27.2234i | −1.79965 | − | 1.51008i | ||||
\(326\) | −12.9417 | + | 4.71039i | −0.716773 | + | 0.260884i | ||||
\(327\) | −1.51204 | − | 8.57521i | −0.0836160 | − | 0.474210i | ||||
\(328\) | −1.36569 | + | 7.74524i | −0.0754079 | + | 0.427659i | ||||
\(329\) | 0.914166 | + | 0.332729i | 0.0503996 | + | 0.0183440i | ||||
\(330\) | 9.56159 | + | 16.5612i | 0.526348 | + | 0.911662i | ||||
\(331\) | −10.2740 | + | 17.7951i | −0.564711 | + | 0.978108i | 0.432366 | + | 0.901698i | \(0.357679\pi\) |
−0.997077 | + | 0.0764094i | \(0.975654\pi\) | |||||||
\(332\) | −2.51935 | + | 2.11399i | −0.138267 | + | 0.116020i | ||||
\(333\) | 1.49979 | − | 1.25848i | 0.0821882 | − | 0.0689641i | ||||
\(334\) | 5.16640 | − | 8.94847i | 0.282693 | − | 0.489638i | ||||
\(335\) | 0.273045 | + | 0.472928i | 0.0149180 | + | 0.0258388i | ||||
\(336\) | −0.533894 | − | 0.194322i | −0.0291263 | − | 0.0106011i | ||||
\(337\) | −2.30647 | + | 13.0806i | −0.125641 | + | 0.712547i | 0.855284 | + | 0.518160i | \(0.173383\pi\) |
−0.980925 | + | 0.194387i | \(0.937728\pi\) | |||||||
\(338\) | −1.89740 | − | 10.7607i | −0.103205 | − | 0.585304i | ||||
\(339\) | 12.1199 | − | 4.41129i | 0.658263 | − | 0.239588i | ||||
\(340\) | 0.755596 | + | 0.634021i | 0.0409780 | + | 0.0343846i | ||||
\(341\) | 14.0227 | 0.759370 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.10787 | 0.329794 | ||||||||
\(344\) | 4.31683 | + | 3.62225i | 0.232748 | + | 0.195299i | ||||
\(345\) | −41.0679 | + | 14.9475i | −2.21102 | + | 0.804747i | ||||
\(346\) | −1.70384 | − | 9.66295i | −0.0915989 | − | 0.519483i | ||||
\(347\) | 5.23416 | − | 29.6844i | 0.280984 | − | 1.59354i | −0.438302 | − | 0.898828i | \(-0.644420\pi\) |
0.719286 | − | 0.694714i | \(-0.244469\pi\) | |||||||
\(348\) | 0.269782 | + | 0.0981928i | 0.0144619 | + | 0.00526368i | ||||
\(349\) | −17.5326 | − | 30.3674i | −0.938501 | − | 1.62553i | −0.768269 | − | 0.640127i | \(-0.778882\pi\) |
−0.170232 | − | 0.985404i | \(-0.554452\pi\) | |||||||
\(350\) | −1.91550 | + | 3.31774i | −0.102388 | + | 0.177341i | ||||
\(351\) | −20.9358 | + | 17.5672i | −1.11747 | + | 0.937670i | ||||
\(352\) | 3.08691 | − | 2.59022i | 0.164533 | − | 0.138059i | ||||
\(353\) | −6.77053 | + | 11.7269i | −0.360359 | + | 0.624160i | −0.988020 | − | 0.154327i | \(-0.950679\pi\) |
0.627661 | + | 0.778487i | \(0.284012\pi\) | |||||||
\(354\) | −2.25325 | − | 3.90275i | −0.119759 | − | 0.207429i | ||||
\(355\) | 39.8304 | + | 14.4971i | 2.11398 | + | 0.769425i | ||||
\(356\) | 1.03507 | − | 5.87019i | 0.0548587 | − | 0.311119i | ||||
\(357\) | 0.0263316 | + | 0.149334i | 0.00139361 | + | 0.00790358i | ||||
\(358\) | 8.26770 | − | 3.00920i | 0.436962 | − | 0.159041i | ||||
\(359\) | −18.0076 | − | 15.1102i | −0.950403 | − | 0.797483i | 0.0289620 | − | 0.999581i | \(-0.490780\pi\) |
−0.979365 | + | 0.202097i | \(0.935224\pi\) | |||||||
\(360\) | 4.99344 | 0.263177 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 14.5278 | 0.763562 | ||||||||
\(363\) | −5.15268 | − | 4.32361i | −0.270445 | − | 0.226931i | ||||
\(364\) | −2.03378 | + | 0.740236i | −0.106599 | + | 0.0387989i | ||||
\(365\) | 0.912742 | + | 5.17642i | 0.0477751 | + | 0.270946i | ||||
\(366\) | 0.909649 | − | 5.15888i | 0.0475481 | − | 0.269659i | ||||
\(367\) | 11.9274 | + | 4.34122i | 0.622606 | + | 0.226610i | 0.634010 | − | 0.773325i | \(-0.281408\pi\) |
−0.0114041 | + | 0.999935i | \(0.503630\pi\) | |||||||
\(368\) | 4.60465 | + | 7.97549i | 0.240034 | + | 0.415751i | ||||
\(369\) | 5.31318 | − | 9.20269i | 0.276593 | − | 0.479073i | ||||
\(370\) | 4.10232 | − | 3.44225i | 0.213269 | − | 0.178954i | ||||
\(371\) | 3.36995 | − | 2.82772i | 0.174959 | − | 0.146808i | ||||
\(372\) | −2.23420 | + | 3.86975i | −0.115838 | + | 0.200637i | ||||
\(373\) | 1.32475 | + | 2.29454i | 0.0685930 | + | 0.118807i | 0.898282 | − | 0.439419i | \(-0.144816\pi\) |
−0.829689 | + | 0.558226i | \(0.811482\pi\) | |||||||
\(374\) | −1.01063 | − | 0.367840i | −0.0522585 | − | 0.0190205i | ||||
\(375\) | −3.01470 | + | 17.0972i | −0.155678 | + | 0.882895i | ||||
\(376\) | −0.381797 | − | 2.16528i | −0.0196897 | − | 0.111666i | ||||
\(377\) | 1.02769 | − | 0.374049i | 0.0529288 | − | 0.0192645i | ||||
\(378\) | 1.89377 | + | 1.58906i | 0.0974048 | + | 0.0817323i | ||||
\(379\) | −18.1672 | −0.933187 | −0.466593 | − | 0.884472i | \(-0.654519\pi\) | ||||
−0.466593 | + | 0.884472i | \(0.654519\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 18.0806 | 0.926297 | ||||||||
\(382\) | −9.75187 | − | 8.18279i | −0.498949 | − | 0.418668i | ||||
\(383\) | 21.6207 | − | 7.86931i | 1.10477 | − | 0.402103i | 0.275696 | − | 0.961245i | \(-0.411092\pi\) |
0.829072 | + | 0.559142i | \(0.188869\pi\) | |||||||
\(384\) | 0.222978 | + | 1.26457i | 0.0113788 | + | 0.0645324i | ||||
\(385\) | 1.14424 | − | 6.48929i | 0.0583157 | − | 0.330725i | ||||
\(386\) | −16.4240 | − | 5.97785i | −0.835960 | − | 0.304264i | ||||
\(387\) | −3.80699 | − | 6.59390i | −0.193520 | − | 0.335187i | ||||
\(388\) | 2.04238 | − | 3.53750i | 0.103686 | − | 0.179590i | ||||
\(389\) | −12.6938 | + | 10.6514i | −0.643603 | + | 0.540047i | −0.905122 | − | 0.425151i | \(-0.860221\pi\) |
0.261519 | + | 0.965198i | \(0.415776\pi\) | |||||||
\(390\) | −17.7822 | + | 14.9210i | −0.900437 | + | 0.755557i | ||||
\(391\) | 1.22895 | − | 2.12860i | 0.0621506 | − | 0.107648i | ||||
\(392\) | −3.40211 | − | 5.89263i | −0.171833 | − | 0.297623i | ||||
\(393\) | 19.1150 | + | 6.95729i | 0.964223 | + | 0.350949i | ||||
\(394\) | 4.25634 | − | 24.1389i | 0.214431 | − | 1.21610i | ||||
\(395\) | −6.54806 | − | 37.1359i | −0.329469 | − | 1.86851i | ||||
\(396\) | −5.11630 | + | 1.86218i | −0.257104 | + | 0.0935782i | ||||
\(397\) | −13.6316 | − | 11.4383i | −0.684152 | − | 0.574072i | 0.233064 | − | 0.972461i | \(-0.425125\pi\) |
−0.917216 | + | 0.398390i | \(0.869569\pi\) | |||||||
\(398\) | −16.4661 | −0.825371 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 8.65833 | 0.432916 | ||||||||
\(401\) | −23.4574 | − | 19.6831i | −1.17141 | − | 0.982927i | −0.171410 | − | 0.985200i | \(-0.554832\pi\) |
−0.999997 | + | 0.00227274i | \(0.999277\pi\) | |||||||
\(402\) | 0.178297 | − | 0.0648946i | 0.00889262 | − | 0.00323665i | ||||
\(403\) | 2.95578 | + | 16.7631i | 0.147238 | + | 0.835028i | ||||
\(404\) | 0.0738486 | − | 0.418817i | 0.00367411 | − | 0.0208369i | ||||
\(405\) | 10.8387 | + | 3.94497i | 0.538580 | + | 0.196027i | ||||
\(406\) | −0.0494633 | − | 0.0856730i | −0.00245482 | − | 0.00425188i | ||||
\(407\) | −2.91955 | + | 5.05682i | −0.144717 | + | 0.250657i | ||||
\(408\) | 0.262532 | − | 0.220291i | 0.0129973 | − | 0.0109060i | ||||
\(409\) | −7.00416 | + | 5.87719i | −0.346333 | + | 0.290608i | −0.799316 | − | 0.600911i | \(-0.794804\pi\) |
0.452982 | + | 0.891519i | \(0.350360\pi\) | |||||||
\(410\) | 14.5329 | − | 25.1717i | 0.717729 | − | 1.24314i | ||||
\(411\) | 1.41726 | + | 2.45477i | 0.0699083 | + | 0.121085i | ||||
\(412\) | −4.26262 | − | 1.55147i | −0.210004 | − | 0.0764352i | ||||
\(413\) | −0.269647 | + | 1.52925i | −0.0132685 | + | 0.0752493i | ||||
\(414\) | −2.16072 | − | 12.2540i | −0.106193 | − | 0.602252i | ||||
\(415\) | 11.4214 | − | 4.15705i | 0.560654 | − | 0.204061i | ||||
\(416\) | 3.74710 | + | 3.14419i | 0.183717 | + | 0.154157i | ||||
\(417\) | 21.9121 | 1.07304 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 12.6157 | 0.616315 | 0.308158 | − | 0.951335i | \(-0.400288\pi\) | ||||
0.308158 | + | 0.951335i | \(0.400288\pi\) | |||||||
\(420\) | 1.60850 | + | 1.34969i | 0.0784869 | + | 0.0658583i | ||||
\(421\) | 31.2498 | − | 11.3740i | 1.52302 | − | 0.554335i | 0.561121 | − | 0.827734i | \(-0.310370\pi\) |
0.961901 | + | 0.273399i | \(0.0881480\pi\) | |||||||
\(422\) | 4.77193 | + | 27.0630i | 0.232294 | + | 1.31740i | ||||
\(423\) | −0.515861 | + | 2.92559i | −0.0250820 | + | 0.142247i | ||||
\(424\) | −9.34281 | − | 3.40050i | −0.453727 | − | 0.165143i | ||||
\(425\) | −1.15542 | − | 2.00125i | −0.0560463 | − | 0.0970750i | ||||
\(426\) | 7.36363 | − | 12.7542i | 0.356769 | − | 0.617942i | ||||
\(427\) | −1.38275 | + | 1.16026i | −0.0669159 | + | 0.0561491i | ||||
\(428\) | 2.42952 | − | 2.03861i | 0.117435 | − | 0.0985399i | ||||
\(429\) | 12.6553 | − | 21.9196i | 0.611004 | − | 1.05829i | ||||
\(430\) | −10.4131 | − | 18.0360i | −0.502164 | − | 0.869773i | ||||
\(431\) | −21.6049 | − | 7.86354i | −1.04067 | − | 0.378773i | −0.235537 | − | 0.971865i | \(-0.575685\pi\) |
−0.805135 | + | 0.593092i | \(0.797907\pi\) | |||||||
\(432\) | 0.970209 | − | 5.50233i | 0.0466792 | − | 0.264731i | ||||
\(433\) | −6.02720 | − | 34.1819i | −0.289649 | − | 1.64268i | −0.688191 | − | 0.725529i | \(-0.741595\pi\) |
0.398543 | − | 0.917150i | \(-0.369516\pi\) | |||||||
\(434\) | 1.44685 | − | 0.526611i | 0.0694511 | − | 0.0252781i | ||||
\(435\) | −0.812794 | − | 0.682015i | −0.0389705 | − | 0.0327001i | ||||
\(436\) | 6.78112 | 0.324757 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 1.82629 | 0.0872637 | ||||||||
\(439\) | 27.9467 | + | 23.4501i | 1.33382 | + | 1.11921i | 0.983168 | + | 0.182706i | \(0.0584856\pi\) |
0.350655 | + | 0.936505i | \(0.385959\pi\) | |||||||
\(440\) | −13.9944 | + | 5.09355i | −0.667157 | + | 0.242825i | ||||
\(441\) | 1.59643 | + | 9.05380i | 0.0760204 | + | 0.431133i | ||||
\(442\) | 0.226699 | − | 1.28567i | 0.0107829 | − | 0.0611531i | ||||
\(443\) | −11.0492 | − | 4.02157i | −0.524963 | − | 0.191071i | 0.0659252 | − | 0.997825i | \(-0.479000\pi\) |
−0.590888 | + | 0.806754i | \(0.701222\pi\) | |||||||
\(444\) | −0.930333 | − | 1.61138i | −0.0441517 | − | 0.0764729i | ||||
\(445\) | −11.0146 | + | 19.0779i | −0.522143 | + | 0.904378i | ||||
\(446\) | 15.6048 | − | 13.0940i | 0.738908 | − | 0.620017i | ||||
\(447\) | −13.3244 | + | 11.1805i | −0.630225 | + | 0.528821i | ||||
\(448\) | 0.221232 | − | 0.383185i | 0.0104522 | − | 0.0181038i | ||||
\(449\) | −4.34551 | − | 7.52664i | −0.205077 | − | 0.355204i | 0.745080 | − | 0.666975i | \(-0.232411\pi\) |
−0.950157 | + | 0.311771i | \(0.899078\pi\) | |||||||
\(450\) | −10.9931 | − | 4.00116i | −0.518220 | − | 0.188617i | ||||
\(451\) | −5.50330 | + | 31.2108i | −0.259140 | + | 1.46966i | ||||
\(452\) | 1.74418 | + | 9.89175i | 0.0820395 | + | 0.465269i | ||||
\(453\) | 11.0446 | − | 4.01990i | 0.518920 | − | 0.188871i | ||||
\(454\) | −16.9674 | − | 14.2373i | −0.796318 | − | 0.668190i | ||||
\(455\) | 7.99866 | 0.374983 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.0286 | −0.609454 | −0.304727 | − | 0.952440i | \(-0.598565\pi\) | ||||
−0.304727 | + | 0.952440i | \(0.598565\pi\) | |||||||
\(458\) | −9.74008 | − | 8.17290i | −0.455124 | − | 0.381894i | ||||
\(459\) | −1.40126 | + | 0.510016i | −0.0654051 | + | 0.0238055i | ||||
\(460\) | −5.91011 | − | 33.5179i | −0.275560 | − | 1.56278i | ||||
\(461\) | 1.57023 | − | 8.90522i | 0.0731329 | − | 0.414758i | −0.926159 | − | 0.377133i | \(-0.876910\pi\) |
0.999292 | − | 0.0376243i | \(-0.0119790\pi\) | |||||||
\(462\) | −2.15142 | − | 0.783052i | −0.100093 | − | 0.0364309i | ||||
\(463\) | 8.86025 | + | 15.3464i | 0.411771 | + | 0.713208i | 0.995083 | − | 0.0990396i | \(-0.0315771\pi\) |
−0.583313 | + | 0.812248i | \(0.698244\pi\) | |||||||
\(464\) | −0.111791 | + | 0.193627i | −0.00518976 | + | 0.00898892i | ||||
\(465\) | 12.6504 | − | 10.6150i | 0.586650 | − | 0.492258i | ||||
\(466\) | 6.65062 | − | 5.58053i | 0.308084 | − | 0.258513i | ||||
\(467\) | 3.93886 | − | 6.82231i | 0.182269 | − | 0.315699i | −0.760384 | − | 0.649474i | \(-0.774989\pi\) |
0.942653 | + | 0.333775i | \(0.108323\pi\) | |||||||
\(468\) | −3.30455 | − | 5.72364i | −0.152753 | − | 0.264576i | ||||
\(469\) | −0.0614368 | − | 0.0223612i | −0.00283689 | − | 0.00103254i | ||||
\(470\) | −1.41101 | + | 8.00225i | −0.0650851 | + | 0.369116i | ||||
\(471\) | 3.65467 | + | 20.7267i | 0.168398 | + | 0.955035i | ||||
\(472\) | 3.29788 | − | 1.20033i | 0.151797 | − | 0.0552496i | ||||
\(473\) | 17.3954 | + | 14.5965i | 0.799842 | + | 0.671147i | ||||
\(474\) | −13.1019 | −0.601792 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −0.118090 | −0.00541266 | ||||||||
\(477\) | 10.2907 | + | 8.63495i | 0.471180 | + | 0.395367i | ||||
\(478\) | 20.5557 | − | 7.48166i | 0.940195 | − | 0.342203i | ||||
\(479\) | −5.24067 | − | 29.7213i | −0.239452 | − | 1.35800i | −0.833031 | − | 0.553226i | \(-0.813397\pi\) |
0.593579 | − | 0.804776i | \(-0.297715\pi\) | |||||||
\(480\) | 0.824064 | − | 4.67350i | 0.0376132 | − | 0.213315i | ||||
\(481\) | −6.66045 | − | 2.42421i | −0.303691 | − | 0.110534i | ||||
\(482\) | 9.48160 | + | 16.4226i | 0.431875 | + | 0.748030i | ||||
\(483\) | 2.61617 | − | 4.53134i | 0.119040 | − | 0.206183i | ||||
\(484\) | 4.01274 | − | 3.36709i | 0.182397 | − | 0.153049i | ||||
\(485\) | −11.5643 | + | 9.70359i | −0.525107 | + | 0.440617i | ||||
\(486\) | −6.37701 | + | 11.0453i | −0.289267 | + | 0.501025i | ||||
\(487\) | 17.8850 | + | 30.9777i | 0.810445 | + | 1.40373i | 0.912553 | + | 0.408959i | \(0.134108\pi\) |
−0.102107 | + | 0.994773i | \(0.532558\pi\) | |||||||
\(488\) | 3.83352 | + | 1.39529i | 0.173535 | + | 0.0631617i | ||||
\(489\) | 3.07091 | − | 17.4160i | 0.138871 | − | 0.787578i | ||||
\(490\) | 4.36664 | + | 24.7645i | 0.197265 | + | 1.11874i | ||||
\(491\) | 17.1707 | − | 6.24961i | 0.774901 | − | 0.282041i | 0.0758562 | − | 0.997119i | \(-0.475831\pi\) |
0.699045 | + | 0.715078i | \(0.253609\pi\) | |||||||
\(492\) | −7.73623 | − | 6.49146i | −0.348776 | − | 0.292658i | ||||
\(493\) | 0.0596724 | 0.00268751 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 20.1219 | 0.904413 | ||||||||
\(496\) | −2.66572 | − | 2.23681i | −0.119694 | − | 0.100436i | ||||
\(497\) | −4.76863 | + | 1.73564i | −0.213902 | + | 0.0778540i | ||||
\(498\) | −0.733325 | − | 4.15889i | −0.0328611 | − | 0.186365i | ||||
\(499\) | 3.07322 | − | 17.4291i | 0.137576 | − | 0.780234i | −0.835455 | − | 0.549559i | \(-0.814796\pi\) |
0.973031 | − | 0.230675i | \(-0.0740933\pi\) | |||||||
\(500\) | −12.7048 | − | 4.62416i | −0.568175 | − | 0.206799i | ||||
\(501\) | 6.63407 | + | 11.4905i | 0.296388 | + | 0.513360i | ||||
\(502\) | 1.45138 | − | 2.51386i | 0.0647782 | − | 0.112199i | ||||
\(503\) | −7.80618 | + | 6.55017i | −0.348061 | + | 0.292057i | −0.800011 | − | 0.599986i | \(-0.795173\pi\) |
0.451950 | + | 0.892043i | \(0.350728\pi\) | |||||||
\(504\) | −0.457965 | + | 0.384278i | −0.0203994 | + | 0.0171171i | ||||
\(505\) | −0.785853 | + | 1.36114i | −0.0349700 | + | 0.0605698i | ||||
\(506\) | 18.5552 | + | 32.1386i | 0.824881 | + | 1.42874i | ||||
\(507\) | 13.1846 | + | 4.79879i | 0.585548 | + | 0.213122i | ||||
\(508\) | −2.44507 | + | 13.8667i | −0.108482 | + | 0.615234i | ||||
\(509\) | 1.46493 | + | 8.30805i | 0.0649320 | + | 0.368248i | 0.999908 | + | 0.0135377i | \(0.00430932\pi\) |
−0.934976 | + | 0.354710i | \(0.884580\pi\) | |||||||
\(510\) | −1.19018 | + | 0.433191i | −0.0527022 | + | 0.0191820i | ||||
\(511\) | −0.482070 | − | 0.404505i | −0.0213255 | − | 0.0178942i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 22.9050 | 1.01030 | ||||||||
\(515\) | 12.8423 | + | 10.7760i | 0.565900 | + | 0.474846i | ||||
\(516\) | −6.79968 | + | 2.47488i | −0.299339 | + | 0.108951i | ||||
\(517\) | −1.53851 | − | 8.72535i | −0.0676638 | − | 0.383741i | ||||
\(518\) | −0.111333 | + | 0.631402i | −0.00489170 | + | 0.0277422i | ||||
\(519\) | 11.8396 | + | 4.30925i | 0.519699 | + | 0.189155i | ||||
\(520\) | −9.03879 | − | 15.6556i | −0.396377 | − | 0.686545i | ||||
\(521\) | 4.48183 | − | 7.76275i | 0.196352 | − | 0.340092i | −0.750991 | − | 0.660313i | \(-0.770424\pi\) |
0.947343 | + | 0.320221i | \(0.103757\pi\) | |||||||
\(522\) | 0.231415 | − | 0.194180i | 0.0101287 | − | 0.00849902i | ||||
\(523\) | 1.63928 | − | 1.37552i | 0.0716809 | − | 0.0601474i | −0.606243 | − | 0.795279i | \(-0.707324\pi\) |
0.677924 | + | 0.735132i | \(0.262880\pi\) | |||||||
\(524\) | −7.92075 | + | 13.7191i | −0.346020 | + | 0.599324i | ||||
\(525\) | −2.45965 | − | 4.26024i | −0.107348 | − | 0.185932i | ||||
\(526\) | −4.75706 | − | 1.73143i | −0.207418 | − | 0.0754939i | ||||
\(527\) | −0.161275 | + | 0.914639i | −0.00702527 | + | 0.0398423i | ||||
\(528\) | 0.898528 | + | 5.09581i | 0.0391034 | + | 0.221767i | ||||
\(529\) | −58.0835 | + | 21.1407i | −2.52537 | + | 0.919160i | ||||
\(530\) | 28.1478 | + | 23.6188i | 1.22266 | + | 1.02594i | ||||
\(531\) | −4.74186 | −0.205779 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −38.4702 | −1.66633 | ||||||||
\(534\) | 5.86336 | + | 4.91994i | 0.253732 | + | 0.212907i | ||||
\(535\) | −11.0142 | + | 4.00882i | −0.476183 | + | 0.173317i | ||||
\(536\) | 0.0256588 | + | 0.145518i | 0.00110829 | + | 0.00628542i | ||||
\(537\) | −1.96183 | + | 11.1261i | −0.0846591 | + | 0.480126i | ||||
\(538\) | 19.4910 | + | 7.09416i | 0.840318 | + | 0.305851i | ||||
\(539\) | −13.7094 | − | 23.7454i | −0.590506 | − | 1.02279i | ||||
\(540\) | −10.3244 | + | 17.8823i | −0.444290 | + | 0.769533i | ||||
\(541\) | −8.97157 | + | 7.52804i | −0.385718 | + | 0.323656i | −0.814942 | − | 0.579542i | \(-0.803231\pi\) |
0.429224 | + | 0.903198i | \(0.358787\pi\) | |||||||
\(542\) | −4.82202 | + | 4.04616i | −0.207124 | + | 0.173797i | ||||
\(543\) | −9.32739 | + | 16.1555i | −0.400277 | + | 0.693299i | ||||
\(544\) | 0.133446 | + | 0.231136i | 0.00572147 | + | 0.00990988i | ||||
\(545\) | −23.5497 | − | 8.57140i | −1.00876 | − | 0.367158i | ||||
\(546\) | 0.482593 | − | 2.73692i | 0.0206531 | − | 0.117129i | ||||
\(547\) | 4.33941 | + | 24.6100i | 0.185540 | + | 1.05225i | 0.925260 | + | 0.379334i | \(0.123847\pi\) |
−0.739720 | + | 0.672915i | \(0.765042\pi\) | |||||||
\(548\) | −2.07431 | + | 0.754987i | −0.0886102 | + | 0.0322515i | ||||
\(549\) | −4.22247 | − | 3.54307i | −0.180211 | − | 0.151215i | ||||
\(550\) | 34.8902 | 1.48772 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −11.8255 | −0.503325 | ||||||||
\(553\) | 3.45840 | + | 2.90194i | 0.147066 | + | 0.123403i | ||||
\(554\) | 6.74331 | − | 2.45436i | 0.286496 | − | 0.104276i | ||||
\(555\) | 1.19409 | + | 6.77203i | 0.0506864 | + | 0.287457i | ||||
\(556\) | −2.96321 | + | 16.8052i | −0.125668 | + | 0.712699i | ||||
\(557\) | −8.64109 | − | 3.14510i | −0.366135 | − | 0.133262i | 0.152399 | − | 0.988319i | \(-0.451300\pi\) |
−0.518534 | + | 0.855057i | \(0.673522\pi\) | |||||||
\(558\) | 2.35089 | + | 4.07185i | 0.0995209 | + | 0.172375i | ||||
\(559\) | −13.7823 | + | 23.8717i | −0.582930 | + | 1.00966i | ||||
\(560\) | −1.25265 | + | 1.05110i | −0.0529342 | + | 0.0444170i | ||||
\(561\) | 1.05792 | − | 0.887700i | 0.0446654 | − | 0.0374787i | ||||
\(562\) | −1.38696 | + | 2.40228i | −0.0585052 | + | 0.101334i | ||||
\(563\) | 9.86122 | + | 17.0801i | 0.415601 | + | 0.719842i | 0.995491 | − | 0.0948526i | \(-0.0302380\pi\) |
−0.579890 | + | 0.814694i | \(0.696905\pi\) | |||||||
\(564\) | 2.65301 | + | 0.965618i | 0.111712 | + | 0.0406598i | ||||
\(565\) | 6.44601 | − | 36.5571i | 0.271186 | − | 1.53797i | ||||
\(566\) | −1.34553 | − | 7.63089i | −0.0565569 | − | 0.320750i | ||||
\(567\) | −1.29765 | + | 0.472305i | −0.0544960 | + | 0.0198349i | ||||
\(568\) | 8.78585 | + | 7.37221i | 0.368646 | + | 0.309331i | ||||
\(569\) | −22.1469 | −0.928446 | −0.464223 | − | 0.885718i | \(-0.653666\pi\) | ||||
−0.464223 | + | 0.885718i | \(0.653666\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.02145 | −0.126444 | −0.0632218 | − | 0.998000i | \(-0.520138\pi\) | ||||
−0.0632218 | + | 0.998000i | \(0.520138\pi\) | |||||||
\(572\) | 15.0996 | + | 12.6701i | 0.631345 | + | 0.529762i | ||||
\(573\) | 15.3607 | − | 5.59084i | 0.641703 | − | 0.233561i | ||||
\(574\) | 0.604270 | + | 3.42699i | 0.0252217 | + | 0.143040i | ||||
\(575\) | −13.8462 | + | 78.5258i | −0.577427 | + | 3.27475i | ||||
\(576\) | 1.26966 | + | 0.462117i | 0.0529024 | + | 0.0192549i | ||||
\(577\) | −1.15469 | − | 1.99998i | −0.0480704 | − | 0.0832603i | 0.840989 | − | 0.541052i | \(-0.181974\pi\) |
−0.889059 | + | 0.457792i | \(0.848641\pi\) | |||||||
\(578\) | −8.46438 | + | 14.6607i | −0.352072 | + | 0.609807i | ||||
\(579\) | 17.1925 | − | 14.4262i | 0.714496 | − | 0.599533i | ||||
\(580\) | 0.632978 | − | 0.531132i | 0.0262830 | − | 0.0220540i | ||||
\(581\) | −0.727582 | + | 1.26021i | −0.0301852 | + | 0.0522823i | ||||
\(582\) | 2.62258 | + | 4.54243i | 0.108709 | + | 0.188290i | ||||
\(583\) | −37.6485 | − | 13.7029i | −1.55924 | − | 0.567517i | ||||
\(584\) | −0.246973 | + | 1.40065i | −0.0102198 | + | 0.0579594i | ||||
\(585\) | 4.24142 | + | 24.0543i | 0.175361 | + | 0.994522i | ||||
\(586\) | 0.735657 | − | 0.267757i | 0.0303897 | − | 0.0110610i | ||||
\(587\) | 21.5174 | + | 18.0553i | 0.888120 | + | 0.745221i | 0.967832 | − | 0.251597i | \(-0.0809558\pi\) |
−0.0797125 | + | 0.996818i | \(0.525400\pi\) | |||||||
\(588\) | 8.73716 | 0.360315 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −12.9702 | −0.533975 | ||||||||
\(591\) | 24.1108 | + | 20.2314i | 0.991786 | + | 0.832207i | ||||
\(592\) | 1.36164 | − | 0.495597i | 0.0559631 | − | 0.0203689i | ||||
\(593\) | −2.10008 | − | 11.9102i | −0.0862401 | − | 0.489092i | −0.997082 | − | 0.0763367i | \(-0.975678\pi\) |
0.910842 | − | 0.412755i | \(-0.135433\pi\) | |||||||
\(594\) | 3.90962 | − | 22.1726i | 0.160414 | − | 0.909752i | ||||
\(595\) | 0.410109 | + | 0.149267i | 0.0168128 | + | 0.00611937i | ||||
\(596\) | −6.77288 | − | 11.7310i | −0.277428 | − | 0.480519i | ||||
\(597\) | 10.5719 | − | 18.3110i | 0.432679 | − | 0.749421i | ||||
\(598\) | −34.5082 | + | 28.9558i | −1.41114 | + | 1.18409i | ||||
\(599\) | −14.9398 | + | 12.5360i | −0.610424 | + | 0.512206i | −0.894777 | − | 0.446513i | \(-0.852666\pi\) |
0.284353 | + | 0.958720i | \(0.408221\pi\) | |||||||
\(600\) | −5.55899 | + | 9.62845i | −0.226945 | + | 0.393080i | ||||
\(601\) | −19.4816 | − | 33.7431i | −0.794671 | − | 1.37641i | −0.923048 | − | 0.384685i | \(-0.874310\pi\) |
0.128376 | − | 0.991726i | \(-0.459023\pi\) | |||||||
\(602\) | 2.34301 | + | 0.852786i | 0.0954940 | + | 0.0347570i | ||||
\(603\) | 0.0346686 | − | 0.196615i | 0.00141181 | − | 0.00800680i | ||||
\(604\) | 1.58943 | + | 9.01412i | 0.0646731 | + | 0.366779i | ||||
\(605\) | −18.1916 | + | 6.62121i | −0.739595 | + | 0.269191i | ||||
\(606\) | 0.418329 | + | 0.351020i | 0.0169935 | + | 0.0142592i | ||||
\(607\) | −8.46029 | −0.343393 | −0.171696 | − | 0.985150i | \(-0.554925\pi\) | ||||
−0.171696 | + | 0.985150i | \(0.554925\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.127030 | 0.00514750 | ||||||||
\(610\) | −11.5495 | − | 9.69122i | −0.467627 | − | 0.392386i | ||||
\(611\) | 10.1062 | − | 3.67836i | 0.408854 | − | 0.148811i | ||||
\(612\) | −0.0626193 | − | 0.355132i | −0.00253123 | − | 0.0143553i | ||||
\(613\) | −0.506172 | + | 2.87064i | −0.0204441 | + | 0.115944i | −0.993322 | − | 0.115375i | \(-0.963193\pi\) |
0.972878 | + | 0.231319i | \(0.0743041\pi\) | |||||||
\(614\) | 26.4700 | + | 9.63429i | 1.06824 | + | 0.388808i | ||||
\(615\) | 18.6614 | + | 32.3225i | 0.752500 | + | 1.30337i | ||||
\(616\) | 0.891491 | − | 1.54411i | 0.0359192 | − | 0.0622139i | ||||
\(617\) | −2.31273 | + | 1.94061i | −0.0931069 | + | 0.0781260i | −0.688153 | − | 0.725566i | \(-0.741578\pi\) |
0.595046 | + | 0.803692i | \(0.297134\pi\) | |||||||
\(618\) | 4.46207 | − | 3.74412i | 0.179491 | − | 0.150611i | ||||
\(619\) | 1.96406 | − | 3.40186i | 0.0789423 | − | 0.136732i | −0.823852 | − | 0.566806i | \(-0.808179\pi\) |
0.902794 | + | 0.430074i | \(0.141512\pi\) | |||||||
\(620\) | 6.43028 | + | 11.1376i | 0.258246 | + | 0.447295i | ||||
\(621\) | 48.3512 | + | 17.5984i | 1.94027 | + | 0.706200i | ||||
\(622\) | −0.671718 | + | 3.80950i | −0.0269334 | + | 0.152747i | ||||
\(623\) | −0.457982 | − | 2.59734i | −0.0183487 | − | 0.104060i | ||||
\(624\) | −5.90227 | + | 2.14825i | −0.236280 | + | 0.0859988i | ||||
\(625\) | 5.11335 | + | 4.29061i | 0.204534 | + | 0.171624i | ||||
\(626\) | −30.3878 | −1.21454 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −16.3903 | −0.654043 | ||||||||
\(629\) | −0.296256 | − | 0.248589i | −0.0118125 | − | 0.00991188i | ||||
\(630\) | 2.07617 | − | 0.755664i | 0.0827166 | − | 0.0301064i | ||||
\(631\) | 1.76022 | + | 9.98271i | 0.0700733 | + | 0.397406i | 0.999590 | + | 0.0286260i | \(0.00911317\pi\) |
−0.929517 | + | 0.368780i | \(0.879776\pi\) | |||||||
\(632\) | 1.77180 | − | 10.0484i | 0.0704783 | − | 0.399703i | ||||
\(633\) | −33.1590 | − | 12.0689i | −1.31795 | − | 0.479695i | ||||
\(634\) | −2.66402 | − | 4.61421i | −0.105802 | − | 0.183254i | ||||
\(635\) | 26.0189 | − | 45.0661i | 1.03253 | − | 1.78839i | ||||
\(636\) | 9.77996 | − | 8.20636i | 0.387801 | − | 0.325404i | ||||
\(637\) | 25.4961 | − | 21.3938i | 1.01019 | − | 0.847652i | ||||
\(638\) | −0.450480 | + | 0.780255i | −0.0178347 | + | 0.0308906i | ||||
\(639\) | −7.74820 | − | 13.4203i | −0.306514 | − | 0.530898i | ||||
\(640\) | 3.47284 | + | 1.26401i | 0.137276 | + | 0.0499644i | ||||
\(641\) | −1.43786 | + | 8.15451i | −0.0567921 | + | 0.322084i | −0.999947 | − | 0.0102688i | \(-0.996731\pi\) |
0.943155 | + | 0.332353i | \(0.107842\pi\) | |||||||
\(642\) | 0.707178 | + | 4.01060i | 0.0279101 | + | 0.158286i | ||||
\(643\) | −34.6315 | + | 12.6048i | −1.36573 | + | 0.497086i | −0.917822 | − | 0.396992i | \(-0.870054\pi\) |
−0.447911 | + | 0.894078i | \(0.647832\pi\) | |||||||
\(644\) | 3.12146 | + | 2.61922i | 0.123003 | + | 0.103212i | ||||
\(645\) | 26.7425 | 1.05298 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −20.1901 | −0.793753 | −0.396876 | − | 0.917872i | \(-0.629906\pi\) | ||||
−0.396876 | + | 0.917872i | \(0.629906\pi\) | |||||||
\(648\) | 2.39082 | + | 2.00614i | 0.0939203 | + | 0.0788085i | ||||
\(649\) | 13.2894 | − | 4.83693i | 0.521653 | − | 0.189866i | ||||
\(650\) | 7.35437 | + | 41.7087i | 0.288462 | + | 1.63595i | ||||
\(651\) | −0.343321 | + | 1.94707i | −0.0134558 | + | 0.0763117i | ||||
\(652\) | 12.9417 | + | 4.71039i | 0.506835 | + | 0.184473i | ||||
\(653\) | 11.0194 | + | 19.0861i | 0.431221 | + | 0.746897i | 0.996979 | − | 0.0776744i | \(-0.0247495\pi\) |
−0.565757 | + | 0.824572i | \(0.691416\pi\) | |||||||
\(654\) | −4.35375 | + | 7.54091i | −0.170245 | + | 0.294873i | ||||
\(655\) | 44.8486 | − | 37.6325i | 1.75238 | − | 1.47042i | ||||
\(656\) | 6.02473 | − | 5.05535i | 0.235226 | − | 0.197378i | ||||
\(657\) | 0.960837 | − | 1.66422i | 0.0374858 | − | 0.0649273i | ||||
\(658\) | −0.486417 | − | 0.842500i | −0.0189625 | − | 0.0328441i | ||||
\(659\) | −25.5799 | − | 9.31034i | −0.996453 | − | 0.362679i | −0.208237 | − | 0.978078i | \(-0.566773\pi\) |
−0.788216 | + | 0.615399i | \(0.788995\pi\) | |||||||
\(660\) | 3.32071 | − | 18.8327i | 0.129258 | − | 0.733060i | ||||
\(661\) | 1.54690 | + | 8.77291i | 0.0601675 | + | 0.341227i | 1.00000 | 0.000409002i | \(-0.000130189\pi\) | |
−0.939832 | + | 0.341636i | \(0.889019\pi\) | |||||||
\(662\) | 19.3088 | − | 7.02784i | 0.750459 | − | 0.273145i | ||||
\(663\) | 1.28417 | + | 1.07755i | 0.0498732 | + | 0.0418486i | ||||
\(664\) | 3.28878 | 0.127629 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −1.95784 | −0.0758648 | ||||||||
\(667\) | −1.57731 | − | 1.32352i | −0.0610736 | − | 0.0512469i | ||||
\(668\) | −9.70966 | + | 3.53403i | −0.375678 | + | 0.136736i | ||||
\(669\) | 4.54219 | + | 25.7601i | 0.175611 | + | 0.995941i | ||||
\(670\) | 0.0948275 | − | 0.537793i | 0.00366351 | − | 0.0207768i | ||||
\(671\) | 15.4478 | + | 5.62255i | 0.596357 | + | 0.217056i | ||||
\(672\) | 0.284079 | + | 0.492039i | 0.0109586 | + | 0.0189808i | ||||
\(673\) | 17.8505 | − | 30.9180i | 0.688087 | − | 1.19180i | −0.284370 | − | 0.958715i | \(-0.591784\pi\) |
0.972456 | − | 0.233086i | \(-0.0748824\pi\) | |||||||
\(674\) | 10.1749 | − | 8.53777i | 0.391923 | − | 0.328863i | ||||
\(675\) | 37.0581 | − | 31.0954i | 1.42637 | − | 1.19686i | ||||
\(676\) | −5.46334 | + | 9.46279i | −0.210129 | + | 0.363953i | ||||
\(677\) | −13.6924 | − | 23.7160i | −0.526243 | − | 0.911480i | −0.999533 | − | 0.0305727i | \(-0.990267\pi\) |
0.473290 | − | 0.880907i | \(-0.343066\pi\) | |||||||
\(678\) | −12.1199 | − | 4.41129i | −0.465462 | − | 0.169414i | ||||
\(679\) | 0.313844 | − | 1.77990i | 0.0120442 | − | 0.0683062i | ||||
\(680\) | −0.171280 | − | 0.971376i | −0.00656828 | − | 0.0372506i | ||||
\(681\) | 26.7263 | − | 9.72756i | 1.02415 | − | 0.372761i | ||||
\(682\) | −10.7420 | − | 9.01360i | −0.411332 | − | 0.345148i | ||||
\(683\) | 38.1521 | 1.45985 | 0.729925 | − | 0.683528i | \(-0.239555\pi\) | ||||
0.729925 | + | 0.683528i | \(0.239555\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 8.15806 | 0.311703 | ||||||||
\(686\) | −4.67890 | − | 3.92606i | −0.178641 | − | 0.149898i | ||||
\(687\) | 15.3421 | − | 5.58408i | 0.585339 | − | 0.213046i | ||||
\(688\) | −0.978546 | − | 5.54961i | −0.0373067 | − | 0.211577i | ||||
\(689\) | 8.44507 | − | 47.8944i | 0.321731 | − | 1.82463i | ||||
\(690\) | 41.0679 | + | 14.9475i | 1.56343 | + | 0.569042i | ||||
\(691\) | 14.1029 | + | 24.4269i | 0.536499 | + | 0.929244i | 0.999089 | + | 0.0426714i | \(0.0135868\pi\) |
−0.462590 | + | 0.886572i | \(0.653080\pi\) | |||||||
\(692\) | −4.90601 | + | 8.49745i | −0.186498 | + | 0.323025i | ||||
\(693\) | −1.84545 | + | 1.54851i | −0.0701028 | + | 0.0588232i | ||||
\(694\) | −23.0904 | + | 19.3751i | −0.876498 | + | 0.735469i | ||||
\(695\) | 31.5327 | − | 54.6162i | 1.19610 | − | 2.07171i | ||||
\(696\) | −0.143548 | − | 0.248633i | −0.00544118 | − | 0.00942440i | ||||
\(697\) | −1.97245 | − | 0.717914i | −0.0747119 | − | 0.0271929i | ||||
\(698\) | −6.08902 | + | 34.5326i | −0.230473 | + | 1.30708i | ||||
\(699\) | 1.93584 | + | 10.9787i | 0.0732203 | + | 0.415253i | ||||
\(700\) | 3.59996 | − | 1.31028i | 0.136066 | − | 0.0495238i | ||||
\(701\) | 32.6448 | + | 27.3923i | 1.23298 | + | 1.03459i | 0.998040 | + | 0.0625810i | \(0.0199332\pi\) |
0.234938 | + | 0.972010i | \(0.424511\pi\) | |||||||
\(702\) | 27.3298 | 1.03150 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −4.02967 | −0.151874 | ||||||||
\(705\) | −7.99293 | − | 6.70687i | −0.301031 | − | 0.252595i | ||||
\(706\) | 12.7244 | − | 4.63132i | 0.478890 | − | 0.174302i | ||||
\(707\) | −0.0326753 | − | 0.185311i | −0.00122888 | − | 0.00696934i | ||||
\(708\) | −0.782547 | + | 4.43804i | −0.0294099 | + | 0.166792i | ||||
\(709\) | 21.3208 | + | 7.76015i | 0.800721 | + | 0.291439i | 0.709785 | − | 0.704418i | \(-0.248792\pi\) |
0.0909359 | + | 0.995857i | \(0.471014\pi\) | |||||||
\(710\) | −21.1933 | − | 36.7079i | −0.795371 | − | 1.37762i | ||||
\(711\) | −6.89310 | + | 11.9392i | −0.258511 | + | 0.447755i | ||||
\(712\) | −4.56620 | + | 3.83149i | −0.171125 | + | 0.143591i | ||||
\(713\) | 24.5494 | − | 20.5994i | 0.919384 | − | 0.771454i | ||||
\(714\) | 0.0758187 | − | 0.131322i | 0.00283744 | − | 0.00491460i | ||||
\(715\) | −36.4233 | − | 63.0871i | −1.36216 | − | 2.35932i | ||||
\(716\) | −8.26770 | − | 3.00920i | −0.308979 | − | 0.112459i | ||||
\(717\) | −4.87762 | + | 27.6624i | −0.182158 | + | 1.03307i | ||||
\(718\) | 4.08199 | + | 23.1501i | 0.152338 | + | 0.863954i | ||||
\(719\) | 35.5508 | − | 12.9394i | 1.32582 | − | 0.482560i | 0.420503 | − | 0.907291i | \(-0.361854\pi\) |
0.905320 | + | 0.424731i | \(0.139631\pi\) | |||||||
\(720\) | −3.82519 | − | 3.20972i | −0.142557 | − | 0.119619i | ||||
\(721\) | −2.00709 | −0.0747481 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −24.3503 | −0.905596 | ||||||||
\(724\) | −11.1289 | − | 9.33826i | −0.413602 | − | 0.347054i | ||||
\(725\) | −1.81910 | + | 0.662097i | −0.0675596 | + | 0.0245897i | ||||
\(726\) | 1.16802 | + | 6.62415i | 0.0433492 | + | 0.245845i | ||||
\(727\) | −3.39314 | + | 19.2434i | −0.125845 | + | 0.713700i | 0.854958 | + | 0.518697i | \(0.173583\pi\) |
−0.980803 | + | 0.195003i | \(0.937528\pi\) | |||||||
\(728\) | 2.03378 | + | 0.740236i | 0.0753770 | + | 0.0274350i | ||||
\(729\) | −12.8701 | − | 22.2916i | −0.476670 | − | 0.825616i | ||||
\(730\) | 2.62814 | − | 4.55206i | 0.0972717 | − | 0.168479i | ||||
\(731\) | −1.15213 | + | 0.966753i | −0.0426131 | + | 0.0357567i | ||||
\(732\) | −4.01290 | + | 3.36722i | −0.148321 | + | 0.124456i | ||||
\(733\) | −17.5550 | + | 30.4062i | −0.648410 | + | 1.12308i | 0.335092 | + | 0.942185i | \(0.391232\pi\) |
−0.983503 | + | 0.180894i | \(0.942101\pi\) | |||||||
\(734\) | −6.34644 | − | 10.9924i | −0.234251 | − | 0.405735i | ||||
\(735\) | −30.3428 | − | 11.0439i | −1.11921 | − | 0.407359i | ||||
\(736\) | 1.59918 | − | 9.06939i | 0.0589465 | − | 0.334302i | ||||
\(737\) | 0.103396 | + | 0.586390i | 0.00380865 | + | 0.0216000i | ||||
\(738\) | −9.98550 | + | 3.63443i | −0.367571 | + | 0.133785i | ||||
\(739\) | −12.4693 | − | 10.4630i | −0.458689 | − | 0.384886i | 0.383959 | − | 0.923350i | \(-0.374560\pi\) |
−0.842649 | + | 0.538464i | \(0.819005\pi\) | |||||||
\(740\) | −5.35520 | −0.196861 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.39915 | −0.161498 | ||||||||
\(743\) | −25.5158 | − | 21.4103i | −0.936085 | − | 0.785468i | 0.0408149 | − | 0.999167i | \(-0.487005\pi\) |
−0.976900 | + | 0.213698i | \(0.931449\pi\) | |||||||
\(744\) | 4.19893 | − | 1.52828i | 0.153940 | − | 0.0560296i | ||||
\(745\) | 8.69306 | + | 49.3008i | 0.318489 | + | 1.80624i | ||||
\(746\) | 0.460081 | − | 2.60925i | 0.0168448 | − | 0.0955314i | ||||
\(747\) | −4.17562 | − | 1.51980i | −0.152778 | − | 0.0556066i | ||||
\(748\) | 0.537746 | + | 0.931403i | 0.0196619 | + | 0.0340555i | ||||
\(749\) | 0.701639 | − | 1.21528i | 0.0256373 | − | 0.0444052i | ||||
\(750\) | 13.2992 | − | 11.1594i | 0.485620 | − | 0.407484i | ||||
\(751\) | −14.7539 | + | 12.3800i | −0.538379 | + | 0.451754i | −0.870983 | − | 0.491313i | \(-0.836517\pi\) |
0.332604 | + | 0.943067i | \(0.392073\pi\) | |||||||
\(752\) | −1.09934 | + | 1.90411i | −0.0400888 | + | 0.0694358i | ||||
\(753\) | 1.86368 | + | 3.22800i | 0.0679164 | + | 0.117635i | ||||
\(754\) | −1.02769 | − | 0.374049i | −0.0374263 | − | 0.0136221i | ||||
\(755\) | 5.87409 | − | 33.3136i | 0.213780 | − | 1.21241i | ||||
\(756\) | −0.429282 | − | 2.43458i | −0.0156128 | − | 0.0885448i | ||||
\(757\) | 22.5013 | − | 8.18982i | 0.817825 | − | 0.297664i | 0.100973 | − | 0.994889i | \(-0.467804\pi\) |
0.716852 | + | 0.697225i | \(0.245582\pi\) | |||||||
\(758\) | 13.9169 | + | 11.6777i | 0.505484 | + | 0.424152i | ||||
\(759\) | −47.6528 | −1.72969 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −44.7968 | −1.62388 | −0.811941 | − | 0.583739i | \(-0.801589\pi\) | ||||
−0.811941 | + | 0.583739i | \(0.801589\pi\) | |||||||
\(762\) | −13.8505 | − | 11.6220i | −0.501752 | − | 0.421020i | ||||
\(763\) | 2.81945 | − | 1.02620i | 0.102071 | − | 0.0371508i | ||||
\(764\) | 2.21057 | + | 12.5368i | 0.0799756 | + | 0.453564i | ||||
\(765\) | −0.231423 | + | 1.31247i | −0.00836712 | + | 0.0474523i | ||||
\(766\) | −21.6207 | − | 7.86931i | −0.781189 | − | 0.284330i | ||||
\(767\) | 8.58341 | + | 14.8669i | 0.309929 | + | 0.536813i | ||||
\(768\) | 0.642040 | − | 1.11205i | 0.0231676 | − | 0.0401275i | ||||
\(769\) | −24.3117 | + | 20.4000i | −0.876704 | + | 0.735642i | −0.965499 | − | 0.260408i | \(-0.916143\pi\) |
0.0887948 | + | 0.996050i | \(0.471698\pi\) | |||||||
\(770\) | −5.04777 | + | 4.23559i | −0.181909 | + | 0.152640i | ||||
\(771\) | −14.7059 | + | 25.4714i | −0.529621 | + | 0.917330i | ||||
\(772\) | 8.73903 | + | 15.1364i | 0.314525 | + | 0.544772i | ||||
\(773\) | −20.8900 | − | 7.60334i | −0.751361 | − | 0.273473i | −0.0621827 | − | 0.998065i | \(-0.519806\pi\) |
−0.689178 | + | 0.724592i | \(0.742028\pi\) | |||||||
\(774\) | −1.32215 | + | 7.49830i | −0.0475238 | + | 0.269521i | ||||
\(775\) | −5.23197 | − | 29.6720i | −0.187938 | − | 1.06585i | ||||
\(776\) | −3.83842 | + | 1.39707i | −0.137791 | + | 0.0501519i | ||||
\(777\) | −0.630667 | − | 0.529192i | −0.0226250 | − | 0.0189847i | ||||
\(778\) | 16.5706 | 0.594086 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 23.2130 | 0.831160 | ||||||||
\(781\) | 35.4041 | + | 29.7076i | 1.26686 | + | 1.06302i | ||||
\(782\) | −2.30967 | + | 0.840650i | −0.0825936 | + | 0.0300616i | ||||
\(783\) | 0.216921 | + | 1.23022i | 0.00775212 | + | 0.0439644i | ||||
\(784\) | −1.18154 | + | 6.70085i | −0.0421979 | + | 0.239316i | ||||
\(785\) | 56.9208 | + | 20.7175i | 2.03159 | + | 0.739439i | ||||
\(786\) | −10.1709 | − | 17.6165i | −0.362783 | − | 0.628358i | ||||
\(787\) | 12.2298 | − | 21.1826i | 0.435945 | − | 0.755080i | −0.561427 | − | 0.827526i | \(-0.689747\pi\) |
0.997372 | + | 0.0724468i | \(0.0230807\pi\) | |||||||
\(788\) | −18.7767 | + | 15.7555i | −0.668893 | + | 0.561268i | ||||
\(789\) | 4.97965 | − | 4.17842i | 0.177280 | − | 0.148756i | ||||
\(790\) | −18.8544 | + | 32.6568i | −0.670810 | + | 1.16188i | ||||
\(791\) | 2.22213 | + | 3.84884i | 0.0790098 | + | 0.136849i | ||||
\(792\) | 5.11630 | + | 1.86218i | 0.181800 | + | 0.0661698i | ||||
\(793\) | −3.46516 | + | 19.6519i | −0.123052 | + | 0.697860i | ||||
\(794\) | 3.09004 | + | 17.5245i | 0.109661 | + | 0.621921i | ||||
\(795\) | −44.3372 | + | 16.1374i | −1.57248 | + | 0.572335i | ||||
\(796\) | 12.6138 | + | 10.5842i | 0.447083 | + | 0.375147i | ||||
\(797\) | −41.6933 | −1.47685 | −0.738426 | − | 0.674334i | \(-0.764431\pi\) | ||||
−0.738426 | + | 0.674334i | \(0.764431\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.586812 | 0.0207599 | ||||||||
\(800\) | −6.63266 | − | 5.56547i | −0.234500 | − | 0.196769i | ||||
\(801\) | 7.56810 | − | 2.75456i | 0.267406 | − | 0.0973278i | ||||
\(802\) | 5.31736 | + | 30.1563i | 0.187763 | + | 1.06485i | ||||
\(803\) | −0.995220 | + | 5.64417i | −0.0351205 | + | 0.199178i | ||||
\(804\) | −0.178297 | − | 0.0648946i | −0.00628803 | − | 0.00228866i | ||||
\(805\) | −7.52962 | − | 13.0417i | −0.265384 | − | 0.459659i | ||||
\(806\) | 8.51084 | − | 14.7412i | 0.299781 | − | 0.519237i | ||||
\(807\) | −20.4030 | + | 17.1202i | −0.718221 | + | 0.602659i | ||||
\(808\) | −0.325781 | + | 0.273363i | −0.0114609 | + | 0.00961688i | ||||
\(809\) | 24.6244 | − | 42.6507i | 0.865748 | − | 1.49952i | −0.000555336 | − | 1.00000i | \(-0.500177\pi\) |
0.866303 | − | 0.499519i | \(-0.166490\pi\) | |||||||
\(810\) | −5.76716 | − | 9.98901i | −0.202637 | − | 0.350978i | ||||
\(811\) | 48.9068 | + | 17.8006i | 1.71735 | + | 0.625064i | 0.997604 | − | 0.0691759i | \(-0.0220370\pi\) |
0.719744 | + | 0.694240i | \(0.244259\pi\) | |||||||
\(812\) | −0.0171784 | + | 0.0974238i | −0.000602845 | + | 0.00341890i | ||||
\(813\) | −1.40358 | − | 7.96010i | −0.0492257 | − | 0.279173i | ||||
\(814\) | 5.48697 | − | 1.99709i | 0.192318 | − | 0.0699981i | ||||
\(815\) | −38.9904 | − | 32.7168i | −1.36577 | − | 1.14602i | ||||
\(816\) | −0.342712 | −0.0119973 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 9.14328 | 0.319687 | ||||||||
\(819\) | −2.24013 | − | 1.87969i | −0.0782765 | − | 0.0656818i | ||||
\(820\) | −27.3129 | + | 9.94109i | −0.953808 | + | 0.347158i | ||||
\(821\) | −7.33807 | − | 41.6162i | −0.256100 | − | 1.45242i | −0.793233 | − | 0.608919i | \(-0.791604\pi\) |
0.537132 | − | 0.843498i | \(-0.319508\pi\) | |||||||
\(822\) | 0.492209 | − | 2.79146i | 0.0171678 | − | 0.0973633i | ||||
\(823\) | −30.5185 | − | 11.1078i | −1.06381 | − | 0.387195i | −0.249951 | − | 0.968259i | \(-0.580414\pi\) |
−0.813858 | + | 0.581064i | \(0.802637\pi\) | |||||||
\(824\) | 2.26809 | + | 3.92845i | 0.0790127 | + | 0.136854i | ||||
\(825\) | −22.4009 | + | 38.7995i | −0.779899 | + | 1.35083i | ||||
\(826\) | 1.18954 | − | 0.998144i | 0.0413895 | − | 0.0347299i | ||||
\(827\) | 16.4819 | − | 13.8300i | 0.573133 | − | 0.480916i | −0.309551 | − | 0.950883i | \(-0.600179\pi\) |
0.882684 | + | 0.469967i | \(0.155734\pi\) | |||||||
\(828\) | −6.22153 | + | 10.7760i | −0.216213 | + | 0.374492i | ||||
\(829\) | 2.82531 | + | 4.89357i | 0.0981269 | + | 0.169961i | 0.910909 | − | 0.412607i | \(-0.135382\pi\) |
−0.812782 | + | 0.582567i | \(0.802048\pi\) | |||||||
\(830\) | −11.4214 | − | 4.15705i | −0.396442 | − | 0.144293i | ||||
\(831\) | −1.60011 | + | 9.07466i | −0.0555071 | + | 0.314797i | ||||
\(832\) | −0.849399 | − | 4.81718i | −0.0294476 | − | 0.167006i | ||||
\(833\) | 1.70648 | − | 0.621109i | 0.0591261 | − | 0.0215201i | ||||
\(834\) | −16.7856 | − | 14.0848i | −0.581239 | − | 0.487717i | ||||
\(835\) | 38.1871 | 1.32152 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −19.4427 | −0.672037 | ||||||||
\(838\) | −9.66416 | − | 8.10919i | −0.333843 | − | 0.280127i | ||||
\(839\) | −10.0327 | + | 3.65162i | −0.346369 | + | 0.126068i | −0.509346 | − | 0.860562i | \(-0.670113\pi\) |
0.162977 | + | 0.986630i | \(0.447890\pi\) | |||||||
\(840\) | −0.364618 | − | 2.06785i | −0.0125805 | − | 0.0713477i | ||||
\(841\) | −5.02712 | + | 28.5102i | −0.173349 | + | 0.983110i | ||||
\(842\) | −31.2498 | − | 11.3740i | −1.07694 | − | 0.391974i | ||||
\(843\) | −1.78096 | − | 3.08471i | −0.0613395 | − | 0.106243i | ||||
\(844\) | 13.7402 | − | 23.7988i | 0.472958 | − | 0.819187i | ||||
\(845\) | 30.9344 | − | 25.9570i | 1.06417 | − | 0.892949i | ||||
\(846\) | 2.27571 | − | 1.90955i | 0.0782404 | − | 0.0656515i | ||||
\(847\) | 1.15887 | − | 2.00722i | 0.0398192 | − | 0.0689689i | ||||
\(848\) | 4.97120 | + | 8.61038i | 0.170712 | + | 0.295682i | ||||
\(849\) | 9.34978 | + | 3.40304i | 0.320884 | + | 0.116792i | ||||
\(850\) | −0.401274 | + | 2.27574i | −0.0137636 | + | 0.0780572i | ||||
\(851\) | 2.31725 | + | 13.1418i | 0.0794344 | + | 0.450495i | ||||
\(852\) | −13.8391 | + | 5.03702i | −0.474120 | + | 0.172565i | ||||
\(853\) | 7.86465 | + | 6.59923i | 0.269281 | + | 0.225953i | 0.767422 | − | 0.641143i | \(-0.221539\pi\) |
−0.498141 | + | 0.867096i | \(0.665984\pi\) | |||||||
\(854\) | 1.80505 | 0.0617676 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.17151 | −0.108400 | ||||||||
\(857\) | 28.6031 | + | 24.0009i | 0.977065 | + | 0.819855i | 0.983644 | − | 0.180124i | \(-0.0576499\pi\) |
−0.00657938 | + | 0.999978i | \(0.502094\pi\) | |||||||
\(858\) | −23.7842 | + | 8.65674i | −0.811979 | + | 0.295536i | ||||
\(859\) | −4.21774 | − | 23.9200i | −0.143907 | − | 0.816139i | −0.968238 | − | 0.250030i | \(-0.919559\pi\) |
0.824331 | − | 0.566109i | \(-0.191552\pi\) | |||||||
\(860\) | −3.61643 | + | 20.5098i | −0.123319 | + | 0.699378i | ||||
\(861\) | −4.19893 | − | 1.52828i | −0.143099 | − | 0.0520838i | ||||
\(862\) | 11.4957 | + | 19.9112i | 0.391546 | + | 0.678178i | ||||
\(863\) | −11.7864 | + | 20.4146i | −0.401214 | + | 0.694922i | −0.993873 | − | 0.110531i | \(-0.964745\pi\) |
0.592659 | + | 0.805453i | \(0.298078\pi\) | |||||||
\(864\) | −4.28005 | + | 3.59139i | −0.145610 | + | 0.122182i | ||||
\(865\) | 27.7786 | − | 23.3090i | 0.944502 | − | 0.792531i | ||||
\(866\) | −17.3546 | + | 30.0591i | −0.589734 | + | 1.02145i | ||||
\(867\) | −10.8689 | − | 18.8256i | −0.369128 | − | 0.639349i | ||||
\(868\) | −1.44685 | − | 0.526611i | −0.0491094 | − | 0.0178743i | ||||
\(869\) | 7.13977 | − | 40.4916i | 0.242200 | − | 1.37358i | ||||
\(870\) | 0.184245 | + | 1.04491i | 0.00624651 | + | 0.0354257i | ||||
\(871\) | −0.679192 | + | 0.247206i | −0.0230135 | + | 0.00837624i | ||||
\(872\) | −5.19464 | − | 4.35882i | −0.175913 | − | 0.147608i | ||||
\(873\) | 5.51908 | 0.186793 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −5.98217 | −0.202234 | ||||||||
\(876\) | −1.39902 | − | 1.17392i | −0.0472686 | − | 0.0396631i | ||||
\(877\) | −29.5422 | + | 10.7525i | −0.997570 | + | 0.363086i | −0.788647 | − | 0.614846i | \(-0.789218\pi\) |
−0.208923 | + | 0.977932i | \(0.566996\pi\) | |||||||
\(878\) | −6.33500 | − | 35.9276i | −0.213796 | − | 1.21250i | ||||
\(879\) | −0.174563 | + | 0.989995i | −0.00588786 | + | 0.0333917i | ||||
\(880\) | 13.9944 | + | 5.09355i | 0.471751 | + | 0.171703i | ||||
\(881\) | 20.8800 | + | 36.1653i | 0.703466 | + | 1.21844i | 0.967242 | + | 0.253855i | \(0.0816985\pi\) |
−0.263776 | + | 0.964584i | \(0.584968\pi\) | |||||||
\(882\) | 4.59673 | − | 7.96178i | 0.154780 | − | 0.268087i | ||||
\(883\) | 0.415993 | − | 0.349060i | 0.0139993 | − | 0.0117468i | −0.635761 | − | 0.771886i | \(-0.719314\pi\) |
0.649760 | + | 0.760139i | \(0.274869\pi\) | |||||||
\(884\) | −1.00007 | + | 0.839162i | −0.0336362 | + | 0.0282241i | ||||
\(885\) | 8.32739 | − | 14.4235i | 0.279922 | − | 0.484839i | ||||
\(886\) | 5.87915 | + | 10.1830i | 0.197514 | + | 0.342104i | ||||
\(887\) | 10.6418 | + | 3.87331i | 0.357318 | + | 0.130053i | 0.514441 | − | 0.857526i | \(-0.328000\pi\) |
−0.157123 | + | 0.987579i | \(0.550222\pi\) | |||||||
\(888\) | −0.323101 | + | 1.83240i | −0.0108426 | + | 0.0614913i | ||||
\(889\) | 1.08185 | + | 6.13550i | 0.0362842 | + | 0.205778i | ||||
\(890\) | 20.7007 | − | 7.53444i | 0.693889 | − | 0.252555i | ||||
\(891\) | 9.63422 | + | 8.08407i | 0.322759 | + | 0.270827i | ||||
\(892\) | −20.3706 | −0.682058 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 17.3938 | 0.581737 | ||||||||
\(895\) | 24.9087 | + | 20.9009i | 0.832607 | + | 0.698640i | ||||
\(896\) | −0.415780 | + | 0.151331i | −0.0138902 | + | 0.00505563i | ||||
\(897\) | −10.0445 | − | 56.9654i | −0.335377 | − | 1.90202i | ||||
\(898\) | −1.50918 | + | 8.55898i | −0.0503620 | + | 0.285617i | ||||
\(899\) | 0.731110 | + | 0.266102i | 0.0243839 | + | 0.00887501i | ||||
\(900\) | 5.84931 | + | 10.1313i | 0.194977 | + | 0.337710i | ||||
\(901\) | 1.32678 | − | 2.29805i | 0.0442014 | − | 0.0765591i | ||||
\(902\) | 24.2777 | − | 20.3714i | 0.808358 | − | 0.678293i | ||||
\(903\) | −2.45264 | + | 2.05801i | −0.0816188 | + | 0.0684863i | ||||
\(904\) | 5.02218 | − | 8.69866i | 0.167035 | − | 0.289313i | ||||
\(905\) | 26.8452 | + | 46.4973i | 0.892366 | + | 1.54562i | ||||
\(906\) | −11.0446 | − | 4.01990i | −0.366932 | − | 0.133552i | ||||
\(907\) | −1.89725 | + | 10.7599i | −0.0629972 | + | 0.357275i | 0.936972 | + | 0.349405i | \(0.113616\pi\) |
−0.999969 | + | 0.00787011i | \(0.997495\pi\) | |||||||
\(908\) | 3.84619 | + | 21.8128i | 0.127640 | + | 0.723884i | ||||
\(909\) | 0.539957 | − | 0.196528i | 0.0179092 | − | 0.00651843i | ||||
\(910\) | −6.12733 | − | 5.14144i | −0.203119 | − | 0.170437i | ||||
\(911\) | −47.4159 | −1.57096 | −0.785479 | − | 0.618888i | \(-0.787584\pi\) | ||||
−0.785479 | + | 0.618888i | \(0.787584\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 13.2527 | 0.438600 | ||||||||
\(914\) | 9.98051 | + | 8.37464i | 0.330126 | + | 0.277009i | ||||
\(915\) | 18.1923 | − | 6.62147i | 0.601420 | − | 0.218899i | ||||
\(916\) | 2.20790 | + | 12.5216i | 0.0729509 | + | 0.413725i | ||||
\(917\) | −1.21715 | + | 6.90280i | −0.0401938 | + | 0.227951i | ||||
\(918\) | 1.40126 | + | 0.510016i | 0.0462484 | + | 0.0168330i | ||||
\(919\) | −2.55534 | − | 4.42599i | −0.0842930 | − | 0.146000i | 0.820797 | − | 0.571220i | \(-0.193530\pi\) |
−0.905090 | + | 0.425221i | \(0.860197\pi\) | |||||||
\(920\) | −17.0175 | + | 29.4752i | −0.561050 | + | 0.971767i | ||||
\(921\) | −27.7085 | + | 23.2502i | −0.913028 | + | 0.766121i | ||||
\(922\) | −6.92703 | + | 5.81247i | −0.228130 | + | 0.191424i | ||||
\(923\) | −28.0505 | + | 48.5850i | −0.923295 | + | 1.59919i | ||||
\(924\) | 1.14475 | + | 1.98276i | 0.0376594 | + | 0.0652279i | ||||
\(925\) | 11.7895 | + | 4.29104i | 0.387637 | + | 0.141089i | ||||
\(926\) | 3.07713 | − | 17.4513i | 0.101121 | − | 0.573485i | ||||
\(927\) | −1.06429 | − | 6.03591i | −0.0349560 | − | 0.198245i | ||||
\(928\) | 0.210098 | − | 0.0764694i | 0.00689680 | − | 0.00251023i | ||||
\(929\) | −32.8206 | − | 27.5397i | −1.07681 | − | 0.903549i | −0.0811564 | − | 0.996701i | \(-0.525861\pi\) |
−0.995652 | + | 0.0931519i | \(0.970306\pi\) | |||||||
\(930\) | −16.5140 | −0.541514 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −8.68176 | −0.284381 | ||||||||
\(933\) | −3.80507 | − | 3.19283i | −0.124572 | − | 0.104529i | ||||
\(934\) | −7.40264 | + | 2.69434i | −0.242222 | + | 0.0881615i | ||||
\(935\) | −0.690201 | − | 3.91433i | −0.0225720 | − | 0.128012i | ||||
\(936\) | −1.14766 | + | 6.50869i | −0.0375124 | + | 0.212743i | ||||
\(937\) | 3.45699 | + | 1.25824i | 0.112935 | + | 0.0411049i | 0.397869 | − | 0.917442i | \(-0.369750\pi\) |
−0.284935 | + | 0.958547i | \(0.591972\pi\) | |||||||
\(938\) | 0.0326898 | + | 0.0566205i | 0.00106736 | + | 0.00184872i | ||||
\(939\) | 19.5102 | − | 33.7926i | 0.636690 | − | 1.10278i | ||||
\(940\) | 6.22464 | − | 5.22310i | 0.203025 | − | 0.170359i | ||||
\(941\) | −14.0795 | + | 11.8141i | −0.458978 | + | 0.385129i | −0.842755 | − | 0.538297i | \(-0.819068\pi\) |
0.383777 | + | 0.923426i | \(0.374623\pi\) | |||||||
\(942\) | 10.5232 | − | 18.2267i | 0.342865 | − | 0.593859i | ||||
\(943\) | 36.2143 | + | 62.7250i | 1.17930 | + | 2.04261i | ||||
\(944\) | −3.29788 | − | 1.20033i | −0.107337 | − | 0.0390674i | ||||
\(945\) | −1.58650 | + | 8.99752i | −0.0516090 | + | 0.292689i | ||||
\(946\) | −3.94322 | − | 22.3631i | −0.128205 | − | 0.727087i | ||||
\(947\) | −43.9391 | + | 15.9925i | −1.42783 | + | 0.519687i | −0.936308 | − | 0.351179i | \(-0.885781\pi\) |
−0.491520 | + | 0.870866i | \(0.663559\pi\) | |||||||
\(948\) | 10.0367 | + | 8.42177i | 0.325976 | + | 0.273526i | ||||
\(949\) | −6.95697 | −0.225833 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 6.84162 | 0.221855 | ||||||||
\(952\) | 0.0904625 | + | 0.0759070i | 0.00293191 | + | 0.00246016i | ||||
\(953\) | 23.5441 | − | 8.56934i | 0.762667 | − | 0.277588i | 0.0687410 | − | 0.997635i | \(-0.478102\pi\) |
0.693926 | + | 0.720047i | \(0.255880\pi\) | |||||||
\(954\) | −2.33272 | − | 13.2295i | −0.0755246 | − | 0.428321i | ||||
\(955\) | 8.16964 | − | 46.3323i | 0.264363 | − | 1.49928i | ||||
\(956\) | −20.5557 | − | 7.48166i | −0.664818 | − | 0.241974i | ||||
\(957\) | −0.578452 | − | 1.00191i | −0.0186987 | − | 0.0323871i | ||||
\(958\) | −15.0899 | + | 26.1365i | −0.487533 | + | 0.844432i | ||||
\(959\) | −0.748203 | + | 0.627817i | −0.0241607 | + | 0.0202733i | ||||
\(960\) | −3.63534 | + | 3.05041i | −0.117330 | + | 0.0984515i | ||||
\(961\) | 9.44531 | − | 16.3598i | 0.304687 | − | 0.527734i | ||||
\(962\) | 3.54395 | + | 6.13831i | 0.114262 | + | 0.197907i | ||||
\(963\) | 4.02673 | + | 1.46561i | 0.129760 | + | 0.0472287i | ||||
\(964\) | 3.29293 | − | 18.6751i | 0.106058 | − | 0.601485i | ||||
\(965\) | −11.2166 | − | 63.6126i | −0.361076 | − | 2.04776i | ||||
\(966\) | −4.91679 | + | 1.78957i | −0.158195 | + | 0.0575783i | ||||
\(967\) | 5.44372 | + | 4.56782i | 0.175058 | + | 0.146891i | 0.726107 | − | 0.687582i | \(-0.241328\pi\) |
−0.551049 | + | 0.834473i | \(0.685772\pi\) | |||||||
\(968\) | −5.23826 | −0.168364 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 15.0961 | 0.484707 | ||||||||
\(971\) | −46.5405 | − | 39.0521i | −1.49355 | − | 1.25324i | −0.890035 | − | 0.455893i | \(-0.849320\pi\) |
−0.603520 | − | 0.797348i | \(-0.706236\pi\) | |||||||
\(972\) | 11.9849 | − | 4.36213i | 0.384415 | − | 0.139915i | ||||
\(973\) | 1.31111 | + | 7.43568i | 0.0420323 | + | 0.238377i | ||||
\(974\) | 6.21139 | − | 35.2265i | 0.199026 | − | 1.12873i | ||||
\(975\) | −51.1038 | − | 18.6002i | −1.63663 | − | 0.595685i | ||||
\(976\) | −2.03977 | − | 3.53299i | −0.0652916 | − | 0.113088i | ||||
\(977\) | −19.2706 | + | 33.3776i | −0.616520 | + | 1.06784i | 0.373595 | + | 0.927592i | \(0.378125\pi\) |
−0.990116 | + | 0.140253i | \(0.955208\pi\) | |||||||
\(978\) | −13.5472 | + | 11.3675i | −0.433193 | + | 0.363492i | ||||
\(979\) | −18.4003 | + | 15.4397i | −0.588075 | + | 0.493454i | ||||
\(980\) | 12.5732 | − | 21.7775i | 0.401638 | − | 0.695657i | ||||
\(981\) | 4.58112 | + | 7.93474i | 0.146264 | + | 0.253337i | ||||
\(982\) | −17.1707 | − | 6.24961i | −0.547938 | − | 0.199433i | ||||
\(983\) | 1.30328 | − | 7.39126i | 0.0415682 | − | 0.235745i | −0.956944 | − | 0.290272i | \(-0.906254\pi\) |
0.998512 | + | 0.0545275i | \(0.0173653\pi\) | |||||||
\(984\) | 1.75366 | + | 9.94550i | 0.0559046 | + | 0.317051i | ||||
\(985\) | 85.1237 | − | 30.9825i | 2.71227 | − | 0.987184i | ||||
\(986\) | −0.0457117 | − | 0.0383566i | −0.00145576 | − | 0.00122152i | ||||
\(987\) | 1.24920 | 0.0397624 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 51.8964 | 1.65021 | ||||||||
\(990\) | −15.4143 | − | 12.9341i | −0.489898 | − | 0.411073i | ||||
\(991\) | −20.1302 | + | 7.32680i | −0.639457 | + | 0.232743i | −0.641342 | − | 0.767255i | \(-0.721622\pi\) |
0.00188507 | + | 0.999998i | \(0.499400\pi\) | |||||||
\(992\) | 0.604270 | + | 3.42699i | 0.0191856 | + | 0.108807i | ||||
\(993\) | −4.58176 | + | 25.9844i | −0.145398 | + | 0.824591i | ||||
\(994\) | 4.76863 | + | 1.73564i | 0.151252 | + | 0.0550511i | ||||
\(995\) | −30.4270 | − | 52.7012i | −0.964602 | − | 1.67074i | ||||
\(996\) | −2.11153 | + | 3.65727i | −0.0669063 | + | 0.115885i | ||||
\(997\) | −31.4082 | + | 26.3546i | −0.994709 | + | 0.834660i | −0.986243 | − | 0.165305i | \(-0.947139\pi\) |
−0.00846600 | + | 0.999964i | \(0.502695\pi\) | |||||||
\(998\) | −13.5574 | + | 11.3760i | −0.429153 | + | 0.360102i | ||||
\(999\) | 4.04801 | − | 7.01136i | 0.128073 | − | 0.221830i |
(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 | 722.2.e.s.415.3 | 24 | ||
19.2 | odd | 18 | 722.2.c.m.653.2 | 8 | |||
19.3 | odd | 18 | 722.2.c.m.429.2 | 8 | |||
19.4 | even | 9 | inner | 722.2.e.s.389.2 | 24 | ||
19.5 | even | 9 | 722.2.a.m.1.2 | ✓ | 4 | ||
19.6 | even | 9 | inner | 722.2.e.s.595.3 | 24 | ||
19.7 | even | 3 | inner | 722.2.e.s.423.2 | 24 | ||
19.8 | odd | 6 | 722.2.e.r.245.3 | 24 | |||
19.9 | even | 9 | inner | 722.2.e.s.99.2 | 24 | ||
19.10 | odd | 18 | 722.2.e.r.99.3 | 24 | |||
19.11 | even | 3 | inner | 722.2.e.s.245.2 | 24 | ||
19.12 | odd | 6 | 722.2.e.r.423.3 | 24 | |||
19.13 | odd | 18 | 722.2.e.r.595.2 | 24 | |||
19.14 | odd | 18 | 722.2.a.n.1.3 | yes | 4 | ||
19.15 | odd | 18 | 722.2.e.r.389.3 | 24 | |||
19.16 | even | 9 | 722.2.c.n.429.3 | 8 | |||
19.17 | even | 9 | 722.2.c.n.653.3 | 8 | |||
19.18 | odd | 2 | 722.2.e.r.415.2 | 24 | |||
57.5 | odd | 18 | 6498.2.a.ca.1.1 | 4 | |||
57.14 | even | 18 | 6498.2.a.bx.1.1 | 4 | |||
76.43 | odd | 18 | 5776.2.a.bv.1.3 | 4 | |||
76.71 | even | 18 | 5776.2.a.bt.1.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
722.2.a.m.1.2 | ✓ | 4 | 19.5 | even | 9 | ||
722.2.a.n.1.3 | yes | 4 | 19.14 | odd | 18 | ||
722.2.c.m.429.2 | 8 | 19.3 | odd | 18 | |||
722.2.c.m.653.2 | 8 | 19.2 | odd | 18 | |||
722.2.c.n.429.3 | 8 | 19.16 | even | 9 | |||
722.2.c.n.653.3 | 8 | 19.17 | even | 9 | |||
722.2.e.r.99.3 | 24 | 19.10 | odd | 18 | |||
722.2.e.r.245.3 | 24 | 19.8 | odd | 6 | |||
722.2.e.r.389.3 | 24 | 19.15 | odd | 18 | |||
722.2.e.r.415.2 | 24 | 19.18 | odd | 2 | |||
722.2.e.r.423.3 | 24 | 19.12 | odd | 6 | |||
722.2.e.r.595.2 | 24 | 19.13 | odd | 18 | |||
722.2.e.s.99.2 | 24 | 19.9 | even | 9 | inner | ||
722.2.e.s.245.2 | 24 | 19.11 | even | 3 | inner | ||
722.2.e.s.389.2 | 24 | 19.4 | even | 9 | inner | ||
722.2.e.s.415.3 | 24 | 1.1 | even | 1 | trivial | ||
722.2.e.s.423.2 | 24 | 19.7 | even | 3 | inner | ||
722.2.e.s.595.3 | 24 | 19.6 | even | 9 | inner | ||
5776.2.a.bt.1.2 | 4 | 76.71 | even | 18 | |||
5776.2.a.bv.1.3 | 4 | 76.43 | odd | 18 | |||
6498.2.a.bx.1.1 | 4 | 57.14 | even | 18 | |||
6498.2.a.ca.1.1 | 4 | 57.5 | odd | 18 |