Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [55,2,Mod(16,55)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(55, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("55.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 55 = 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 55.g (of order \(5\), 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: | \(0.439177211117\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.13140625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 3x^{7} + 5x^{6} - 3x^{5} + 4x^{4} + 3x^{3} + 5x^{2} + 3x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 16.2 | ||
Root | \(-0.386111 - 0.280526i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 55.16 |
Dual form | 55.2.g.b.31.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/55\mathbb{Z}\right)^\times\).
\(n\) | \(12\) | \(46\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.147481 | + | 0.453901i | 0.104285 | + | 0.320957i | 0.989562 | − | 0.144108i | \(-0.0460312\pi\) |
−0.885277 | + | 0.465064i | \(0.846031\pi\) | |||||||
\(3\) | −0.261370 | − | 0.189896i | −0.150902 | − | 0.109637i | 0.509772 | − | 0.860309i | \(-0.329730\pi\) |
−0.660674 | + | 0.750673i | \(0.729730\pi\) | |||||||
\(4\) | 1.43376 | − | 1.04169i | 0.716879 | − | 0.520843i | ||||
\(5\) | −0.309017 | + | 0.951057i | −0.138197 | + | 0.425325i | ||||
\(6\) | 0.0476470 | − | 0.146642i | 0.0194518 | − | 0.0598665i | ||||
\(7\) | −2.17239 | + | 1.57833i | −0.821086 | + | 0.596554i | −0.917023 | − | 0.398834i | \(-0.869415\pi\) |
0.0959376 | + | 0.995387i | \(0.469415\pi\) | |||||||
\(8\) | 1.45650 | + | 1.05821i | 0.514950 | + | 0.374133i | ||||
\(9\) | −0.894797 | − | 2.75390i | −0.298266 | − | 0.917968i | ||||
\(10\) | −0.477260 | −0.150923 | ||||||||
\(11\) | −2.79042 | + | 1.79264i | −0.841344 | + | 0.540500i | ||||
\(12\) | −0.572554 | −0.165282 | ||||||||
\(13\) | −1.44244 | − | 4.43939i | −0.400062 | − | 1.23126i | −0.924949 | − | 0.380092i | \(-0.875892\pi\) |
0.524886 | − | 0.851172i | \(-0.324108\pi\) | |||||||
\(14\) | −1.03679 | − | 0.753275i | −0.277095 | − | 0.201321i | ||||
\(15\) | 0.261370 | − | 0.189896i | 0.0674854 | − | 0.0490310i | ||||
\(16\) | 0.829779 | − | 2.55380i | 0.207445 | − | 0.638449i | ||||
\(17\) | −1.42961 | + | 4.39990i | −0.346732 | + | 1.06713i | 0.613918 | + | 0.789370i | \(0.289593\pi\) |
−0.960650 | + | 0.277762i | \(0.910407\pi\) | |||||||
\(18\) | 1.11803 | − | 0.812299i | 0.263523 | − | 0.191461i | ||||
\(19\) | 3.51149 | + | 2.55125i | 0.805592 | + | 0.585297i | 0.912549 | − | 0.408967i | \(-0.134111\pi\) |
−0.106958 | + | 0.994264i | \(0.534111\pi\) | |||||||
\(20\) | 0.547647 | + | 1.68548i | 0.122458 | + | 0.376886i | ||||
\(21\) | 0.867517 | 0.189308 | ||||||||
\(22\) | −1.22522 | − | 1.00220i | −0.261217 | − | 0.213669i | ||||
\(23\) | 2.77222 | 0.578048 | 0.289024 | − | 0.957322i | \(-0.406669\pi\) | ||||
0.289024 | + | 0.957322i | \(0.406669\pi\) | |||||||
\(24\) | −0.179735 | − | 0.553168i | −0.0366883 | − | 0.112915i | ||||
\(25\) | −0.809017 | − | 0.587785i | −0.161803 | − | 0.117557i | ||||
\(26\) | 1.80231 | − | 1.30945i | 0.353462 | − | 0.256805i | ||||
\(27\) | −0.588587 | + | 1.81148i | −0.113274 | + | 0.348620i | ||||
\(28\) | −1.47055 | + | 4.52590i | −0.277908 | + | 0.855314i | ||||
\(29\) | 2.43790 | − | 1.77124i | 0.452707 | − | 0.328911i | −0.337956 | − | 0.941162i | \(-0.609736\pi\) |
0.790664 | + | 0.612251i | \(0.209736\pi\) | |||||||
\(30\) | 0.124741 | + | 0.0906300i | 0.0227746 | + | 0.0165467i | ||||
\(31\) | 0.737407 | + | 2.26951i | 0.132442 | + | 0.407615i | 0.995183 | − | 0.0980305i | \(-0.0312543\pi\) |
−0.862741 | + | 0.505646i | \(0.831254\pi\) | |||||||
\(32\) | 4.88221 | 0.863061 | ||||||||
\(33\) | 1.06975 | + | 0.0613500i | 0.186219 | + | 0.0106797i | ||||
\(34\) | −2.20796 | −0.378662 | ||||||||
\(35\) | −0.829779 | − | 2.55380i | −0.140258 | − | 0.431670i | ||||
\(36\) | −4.15163 | − | 3.01633i | −0.691938 | − | 0.502722i | ||||
\(37\) | 8.61029 | − | 6.25574i | 1.41552 | − | 1.02844i | 0.423033 | − | 0.906114i | \(-0.360965\pi\) |
0.992490 | − | 0.122324i | \(-0.0390346\pi\) | |||||||
\(38\) | −0.640135 | + | 1.97013i | −0.103844 | + | 0.319598i | ||||
\(39\) | −0.466012 | + | 1.43424i | −0.0746217 | + | 0.229662i | ||||
\(40\) | −1.45650 | + | 1.05821i | −0.230293 | + | 0.167317i | ||||
\(41\) | 1.78826 | + | 1.29924i | 0.279279 | + | 0.202908i | 0.718603 | − | 0.695421i | \(-0.244782\pi\) |
−0.439324 | + | 0.898329i | \(0.644782\pi\) | |||||||
\(42\) | 0.127943 | + | 0.393767i | 0.0197420 | + | 0.0607596i | ||||
\(43\) | −7.06719 | −1.07774 | −0.538868 | − | 0.842390i | \(-0.681148\pi\) | ||||
−0.538868 | + | 0.842390i | \(0.681148\pi\) | |||||||
\(44\) | −2.13343 | + | 5.47695i | −0.321626 | + | 0.825682i | ||||
\(45\) | 2.89563 | 0.431654 | ||||||||
\(46\) | 0.408851 | + | 1.25832i | 0.0602819 | + | 0.185528i | ||||
\(47\) | −3.52905 | − | 2.56401i | −0.514765 | − | 0.373999i | 0.299863 | − | 0.953982i | \(-0.403059\pi\) |
−0.814628 | + | 0.579983i | \(0.803059\pi\) | |||||||
\(48\) | −0.701836 | + | 0.509914i | −0.101301 | + | 0.0735997i | ||||
\(49\) | 0.0650188 | − | 0.200107i | 0.00928840 | − | 0.0285868i | ||||
\(50\) | 0.147481 | − | 0.453901i | 0.0208570 | − | 0.0641913i | ||||
\(51\) | 1.20918 | − | 0.878523i | 0.169319 | − | 0.123018i | ||||
\(52\) | −6.69257 | − | 4.86243i | −0.928092 | − | 0.674298i | ||||
\(53\) | −1.95733 | − | 6.02403i | −0.268859 | − | 0.827464i | −0.990779 | − | 0.135487i | \(-0.956740\pi\) |
0.721920 | − | 0.691977i | \(-0.243260\pi\) | |||||||
\(54\) | −0.909040 | −0.123705 | ||||||||
\(55\) | −0.842610 | − | 3.20780i | −0.113617 | − | 0.432540i | ||||
\(56\) | −4.83428 | −0.646008 | ||||||||
\(57\) | −0.433326 | − | 1.33364i | −0.0573954 | − | 0.176645i | ||||
\(58\) | 1.16351 | + | 0.845342i | 0.152777 | + | 0.110999i | ||||
\(59\) | −9.50375 | + | 6.90488i | −1.23728 | + | 0.898939i | −0.997414 | − | 0.0718667i | \(-0.977104\pi\) |
−0.239869 | + | 0.970805i | \(0.577104\pi\) | |||||||
\(60\) | 0.176929 | − | 0.544531i | 0.0228414 | − | 0.0702987i | ||||
\(61\) | −1.23070 | + | 3.78770i | −0.157575 | + | 0.484966i | −0.998413 | − | 0.0563214i | \(-0.982063\pi\) |
0.840838 | + | 0.541287i | \(0.182063\pi\) | |||||||
\(62\) | −0.921378 | + | 0.669420i | −0.117015 | + | 0.0850164i | ||||
\(63\) | 6.29042 | + | 4.57026i | 0.792519 | + | 0.575799i | ||||
\(64\) | −0.939522 | − | 2.89155i | −0.117440 | − | 0.361444i | ||||
\(65\) | 4.66785 | 0.578975 | ||||||||
\(66\) | 0.129921 | + | 0.494608i | 0.0159922 | + | 0.0608820i | ||||
\(67\) | 7.31984 | 0.894260 | 0.447130 | − | 0.894469i | \(-0.352446\pi\) | ||||
0.447130 | + | 0.894469i | \(0.352446\pi\) | |||||||
\(68\) | 2.53359 | + | 7.79760i | 0.307243 | + | 0.945598i | ||||
\(69\) | −0.724576 | − | 0.526435i | −0.0872287 | − | 0.0633754i | ||||
\(70\) | 1.03679 | − | 0.753275i | 0.123921 | − | 0.0900336i | ||||
\(71\) | 0.369495 | − | 1.13719i | 0.0438510 | − | 0.134960i | −0.926734 | − | 0.375718i | \(-0.877396\pi\) |
0.970585 | + | 0.240758i | \(0.0773961\pi\) | |||||||
\(72\) | 1.61093 | − | 4.95794i | 0.189850 | − | 0.584299i | ||||
\(73\) | −0.826577 | + | 0.600544i | −0.0967436 | + | 0.0702883i | −0.635105 | − | 0.772425i | \(-0.719043\pi\) |
0.538362 | + | 0.842714i | \(0.319043\pi\) | |||||||
\(74\) | 4.10935 | + | 2.98562i | 0.477702 | + | 0.347071i | ||||
\(75\) | 0.0998345 | + | 0.307259i | 0.0115279 | + | 0.0354792i | ||||
\(76\) | 7.69223 | 0.882360 | ||||||||
\(77\) | 3.23251 | − | 8.29852i | 0.368378 | − | 0.945704i | ||||
\(78\) | −0.719730 | −0.0814934 | ||||||||
\(79\) | 1.08222 | + | 3.33073i | 0.121759 | + | 0.374736i | 0.993297 | − | 0.115593i | \(-0.0368767\pi\) |
−0.871538 | + | 0.490329i | \(0.836877\pi\) | |||||||
\(80\) | 2.17239 | + | 1.57833i | 0.242880 | + | 0.176463i | ||||
\(81\) | −6.53000 | + | 4.74432i | −0.725555 | + | 0.527147i | ||||
\(82\) | −0.325994 | + | 1.00331i | −0.0360000 | + | 0.110797i | ||||
\(83\) | 3.43498 | − | 10.5718i | 0.377038 | − | 1.16040i | −0.565055 | − | 0.825053i | \(-0.691145\pi\) |
0.942093 | − | 0.335351i | \(-0.108855\pi\) | |||||||
\(84\) | 1.24381 | − | 0.903681i | 0.135711 | − | 0.0985996i | ||||
\(85\) | −3.74278 | − | 2.71929i | −0.405961 | − | 0.294948i | ||||
\(86\) | −1.04228 | − | 3.20780i | −0.112392 | − | 0.345906i | ||||
\(87\) | −0.973547 | −0.104375 | ||||||||
\(88\) | −5.96123 | − | 0.341876i | −0.635469 | − | 0.0364442i | ||||
\(89\) | 2.76978 | 0.293596 | 0.146798 | − | 0.989167i | \(-0.453103\pi\) | ||||
0.146798 | + | 0.989167i | \(0.453103\pi\) | |||||||
\(90\) | 0.427051 | + | 1.31433i | 0.0450151 | + | 0.138542i | ||||
\(91\) | 10.1404 | + | 7.36742i | 1.06300 | + | 0.772315i | ||||
\(92\) | 3.97470 | − | 2.88779i | 0.414391 | − | 0.301073i | ||||
\(93\) | 0.238235 | − | 0.733212i | 0.0247038 | − | 0.0760305i | ||||
\(94\) | 0.643336 | − | 1.97998i | 0.0663550 | − | 0.204220i | ||||
\(95\) | −3.51149 | + | 2.55125i | −0.360271 | + | 0.261753i | ||||
\(96\) | −1.27606 | − | 0.927114i | −0.130238 | − | 0.0946232i | ||||
\(97\) | 5.72738 | + | 17.6271i | 0.581528 | + | 1.78976i | 0.612789 | + | 0.790247i | \(0.290048\pi\) |
−0.0312615 | + | 0.999511i | \(0.509952\pi\) | |||||||
\(98\) | 0.100418 | 0.0101438 | ||||||||
\(99\) | 7.43361 | + | 6.08051i | 0.747106 | + | 0.611114i | ||||
\(100\) | −1.77222 | −0.177222 | ||||||||
\(101\) | −2.19852 | − | 6.76634i | −0.218761 | − | 0.673276i | −0.998865 | − | 0.0476270i | \(-0.984834\pi\) |
0.780104 | − | 0.625649i | \(-0.215166\pi\) | |||||||
\(102\) | 0.577094 | + | 0.419284i | 0.0571409 | + | 0.0415153i | ||||
\(103\) | −6.09056 | + | 4.42505i | −0.600121 | + | 0.436014i | −0.845922 | − | 0.533307i | \(-0.820949\pi\) |
0.245801 | + | 0.969320i | \(0.420949\pi\) | |||||||
\(104\) | 2.59688 | − | 7.99237i | 0.254645 | − | 0.783716i | ||||
\(105\) | −0.268077 | + | 0.825058i | −0.0261617 | + | 0.0805174i | ||||
\(106\) | 2.44565 | − | 1.77687i | 0.237542 | − | 0.172584i | ||||
\(107\) | −14.5859 | − | 10.5973i | −1.41008 | − | 1.02448i | −0.993312 | − | 0.115465i | \(-0.963164\pi\) |
−0.416764 | − | 0.909015i | \(-0.636836\pi\) | |||||||
\(108\) | 1.04311 | + | 3.21035i | 0.100373 | + | 0.308916i | ||||
\(109\) | −16.3653 | −1.56751 | −0.783756 | − | 0.621068i | \(-0.786699\pi\) | ||||
−0.783756 | + | 0.621068i | \(0.786699\pi\) | |||||||
\(110\) | 1.33176 | − | 0.855553i | 0.126978 | − | 0.0815738i | ||||
\(111\) | −3.43842 | −0.326360 | ||||||||
\(112\) | 2.22814 | + | 6.85750i | 0.210539 | + | 0.647973i | ||||
\(113\) | 1.66154 | + | 1.20718i | 0.156304 | + | 0.113562i | 0.663188 | − | 0.748453i | \(-0.269203\pi\) |
−0.506884 | + | 0.862014i | \(0.669203\pi\) | |||||||
\(114\) | 0.541433 | − | 0.393374i | 0.0507099 | − | 0.0368429i | ||||
\(115\) | −0.856664 | + | 2.63654i | −0.0798843 | + | 0.245859i | ||||
\(116\) | 1.65029 | − | 5.07906i | 0.153225 | − | 0.471579i | ||||
\(117\) | −10.9349 | + | 7.94470i | −1.01094 | + | 0.734488i | ||||
\(118\) | −4.53576 | − | 3.29542i | −0.417551 | − | 0.303368i | ||||
\(119\) | −3.83883 | − | 11.8147i | −0.351905 | − | 1.08305i | ||||
\(120\) | 0.581635 | 0.0530958 | ||||||||
\(121\) | 4.57291 | − | 10.0044i | 0.415720 | − | 0.909493i | ||||
\(122\) | −1.90075 | −0.172086 | ||||||||
\(123\) | −0.220675 | − | 0.679167i | −0.0198976 | − | 0.0612384i | ||||
\(124\) | 3.42138 | + | 2.48578i | 0.307249 | + | 0.223229i | ||||
\(125\) | 0.809017 | − | 0.587785i | 0.0723607 | − | 0.0525731i | ||||
\(126\) | −1.14673 | + | 3.52926i | −0.102158 | + | 0.314411i | ||||
\(127\) | −0.0235677 | + | 0.0725340i | −0.00209130 | + | 0.00643635i | −0.952097 | − | 0.305797i | \(-0.901077\pi\) |
0.950005 | + | 0.312233i | \(0.101077\pi\) | |||||||
\(128\) | 9.07350 | − | 6.59228i | 0.801992 | − | 0.582681i | ||||
\(129\) | 1.84715 | + | 1.34203i | 0.162633 | + | 0.118159i | ||||
\(130\) | 0.688421 | + | 2.11874i | 0.0603785 | + | 0.185826i | ||||
\(131\) | −11.4831 | −1.00328 | −0.501642 | − | 0.865075i | \(-0.667270\pi\) | ||||
−0.501642 | + | 0.865075i | \(0.667270\pi\) | |||||||
\(132\) | 1.59767 | − | 1.02638i | 0.139059 | − | 0.0893350i | ||||
\(133\) | −11.6550 | −1.01062 | ||||||||
\(134\) | 1.07954 | + | 3.32248i | 0.0932580 | + | 0.287019i | ||||
\(135\) | −1.54094 | − | 1.11956i | −0.132623 | − | 0.0963562i | ||||
\(136\) | −6.73823 | + | 4.89561i | −0.577799 | + | 0.419795i | ||||
\(137\) | −5.66406 | + | 17.4322i | −0.483914 | + | 1.48933i | 0.349635 | + | 0.936886i | \(0.386306\pi\) |
−0.833548 | + | 0.552447i | \(0.813694\pi\) | |||||||
\(138\) | 0.132088 | − | 0.406525i | 0.0112441 | − | 0.0346057i | ||||
\(139\) | 18.7590 | − | 13.6292i | 1.59111 | − | 1.15601i | 0.688785 | − | 0.724966i | \(-0.258145\pi\) |
0.902330 | − | 0.431046i | \(-0.141855\pi\) | |||||||
\(140\) | −3.84996 | − | 2.79716i | −0.325381 | − | 0.236403i | ||||
\(141\) | 0.435493 | + | 1.34031i | 0.0366751 | + | 0.112874i | ||||
\(142\) | 0.570666 | 0.0478892 | ||||||||
\(143\) | 11.9832 | + | 9.80199i | 1.00209 | + | 0.819683i | ||||
\(144\) | −7.77539 | −0.647949 | ||||||||
\(145\) | 0.931196 | + | 2.86593i | 0.0773317 | + | 0.238002i | ||||
\(146\) | −0.394492 | − | 0.286615i | −0.0326484 | − | 0.0237205i | ||||
\(147\) | −0.0549936 | + | 0.0399552i | −0.00453580 | + | 0.00329545i | ||||
\(148\) | 5.82856 | − | 17.9385i | 0.479104 | − | 1.47453i | ||||
\(149\) | 4.53161 | − | 13.9469i | 0.371244 | − | 1.14257i | −0.574733 | − | 0.818341i | \(-0.694894\pi\) |
0.945978 | − | 0.324232i | \(-0.105106\pi\) | |||||||
\(150\) | −0.124741 | + | 0.0906300i | −0.0101851 | + | 0.00739991i | ||||
\(151\) | 6.08301 | + | 4.41957i | 0.495028 | + | 0.359659i | 0.807115 | − | 0.590394i | \(-0.201028\pi\) |
−0.312086 | + | 0.950054i | \(0.601028\pi\) | |||||||
\(152\) | 2.41473 | + | 7.43178i | 0.195861 | + | 0.602797i | ||||
\(153\) | 13.3961 | 1.08301 | ||||||||
\(154\) | 4.24344 | + | 0.243361i | 0.341946 | + | 0.0196106i | ||||
\(155\) | −2.38630 | −0.191672 | ||||||||
\(156\) | 0.825877 | + | 2.54179i | 0.0661231 | + | 0.203506i | ||||
\(157\) | 10.8262 | + | 7.86568i | 0.864023 | + | 0.627750i | 0.928977 | − | 0.370139i | \(-0.120690\pi\) |
−0.0649531 | + | 0.997888i | \(0.520690\pi\) | |||||||
\(158\) | −1.35221 | + | 0.982441i | −0.107576 | + | 0.0781588i | ||||
\(159\) | −0.632355 | + | 1.94619i | −0.0501491 | + | 0.154343i | ||||
\(160\) | −1.50869 | + | 4.64326i | −0.119272 | + | 0.367082i | ||||
\(161\) | −6.02234 | + | 4.37549i | −0.474627 | + | 0.344837i | ||||
\(162\) | −3.11651 | − | 2.26427i | −0.244856 | − | 0.177898i | ||||
\(163\) | −0.238558 | − | 0.734206i | −0.0186853 | − | 0.0575075i | 0.941279 | − | 0.337629i | \(-0.109625\pi\) |
−0.959964 | + | 0.280122i | \(0.909625\pi\) | |||||||
\(164\) | 3.91733 | 0.305892 | ||||||||
\(165\) | −0.388918 | + | 0.998432i | −0.0302772 | + | 0.0777279i | ||||
\(166\) | 5.30514 | 0.411759 | ||||||||
\(167\) | −2.62118 | − | 8.06716i | −0.202833 | − | 0.624256i | −0.999795 | − | 0.0202268i | \(-0.993561\pi\) |
0.796962 | − | 0.604029i | \(-0.206439\pi\) | |||||||
\(168\) | 1.26354 | + | 0.918013i | 0.0974840 | + | 0.0708263i | ||||
\(169\) | −7.11029 | + | 5.16593i | −0.546946 | + | 0.397379i | ||||
\(170\) | 0.682297 | − | 2.09989i | 0.0523298 | − | 0.161055i | ||||
\(171\) | 3.88382 | − | 11.9532i | 0.297003 | − | 0.914081i | ||||
\(172\) | −10.1326 | + | 7.36179i | −0.772606 | + | 0.561331i | ||||
\(173\) | −4.10876 | − | 2.98519i | −0.312384 | − | 0.226960i | 0.420535 | − | 0.907276i | \(-0.361842\pi\) |
−0.732919 | + | 0.680316i | \(0.761842\pi\) | |||||||
\(174\) | −0.143580 | − | 0.441894i | −0.0108848 | − | 0.0334999i | ||||
\(175\) | 2.68522 | 0.202984 | ||||||||
\(176\) | 2.26259 | + | 8.61366i | 0.170549 | + | 0.649279i | ||||
\(177\) | 3.79521 | 0.285265 | ||||||||
\(178\) | 0.408491 | + | 1.25721i | 0.0306177 | + | 0.0942315i | ||||
\(179\) | 9.15568 | + | 6.65199i | 0.684328 | + | 0.497193i | 0.874791 | − | 0.484501i | \(-0.160999\pi\) |
−0.190463 | + | 0.981694i | \(0.560999\pi\) | |||||||
\(180\) | 4.15163 | − | 3.01633i | 0.309444 | − | 0.224824i | ||||
\(181\) | 2.28674 | − | 7.03787i | 0.169972 | − | 0.523121i | −0.829396 | − | 0.558661i | \(-0.811315\pi\) |
0.999368 | + | 0.0355402i | \(0.0113152\pi\) | |||||||
\(182\) | −1.84856 | + | 5.68929i | −0.137025 | + | 0.421718i | ||||
\(183\) | 1.04094 | − | 0.756287i | 0.0769485 | − | 0.0559063i | ||||
\(184\) | 4.03774 | + | 2.93359i | 0.297666 | + | 0.216267i | ||||
\(185\) | 3.28884 | + | 10.1220i | 0.241800 | + | 0.744185i | ||||
\(186\) | 0.367941 | 0.0269787 | ||||||||
\(187\) | −3.89819 | − | 14.8403i | −0.285064 | − | 1.08523i | ||||
\(188\) | −7.73070 | −0.563819 | ||||||||
\(189\) | −1.58048 | − | 4.86423i | −0.114963 | − | 0.353821i | ||||
\(190\) | −1.67589 | − | 1.21761i | −0.121582 | − | 0.0883346i | ||||
\(191\) | 4.17135 | − | 3.03067i | 0.301829 | − | 0.219291i | −0.426554 | − | 0.904462i | \(-0.640272\pi\) |
0.728382 | + | 0.685171i | \(0.240272\pi\) | |||||||
\(192\) | −0.303532 | + | 0.934176i | −0.0219056 | + | 0.0674184i | ||||
\(193\) | −1.24605 | + | 3.83494i | −0.0896925 | + | 0.276045i | −0.985834 | − | 0.167723i | \(-0.946359\pi\) |
0.896142 | + | 0.443768i | \(0.146359\pi\) | |||||||
\(194\) | −7.15627 | + | 5.19933i | −0.513790 | + | 0.373290i | ||||
\(195\) | −1.22004 | − | 0.886408i | −0.0873686 | − | 0.0634770i | ||||
\(196\) | −0.115228 | − | 0.354635i | −0.00823056 | − | 0.0253311i | ||||
\(197\) | 11.4176 | 0.813469 | 0.406734 | − | 0.913547i | \(-0.366667\pi\) | ||||
0.406734 | + | 0.913547i | \(0.366667\pi\) | |||||||
\(198\) | −1.66363 | + | 4.27089i | −0.118229 | + | 0.303519i | ||||
\(199\) | −7.16644 | −0.508015 | −0.254008 | − | 0.967202i | \(-0.581749\pi\) | ||||
−0.254008 | + | 0.967202i | \(0.581749\pi\) | |||||||
\(200\) | −0.556333 | − | 1.71222i | −0.0393387 | − | 0.121072i | ||||
\(201\) | −1.91319 | − | 1.39001i | −0.134946 | − | 0.0980438i | ||||
\(202\) | 2.74701 | − | 1.99582i | 0.193279 | − | 0.140425i | ||||
\(203\) | −2.50047 | + | 7.69565i | −0.175498 | + | 0.540128i | ||||
\(204\) | 0.818531 | − | 2.51918i | 0.0573086 | − | 0.176378i | ||||
\(205\) | −1.78826 | + | 1.29924i | −0.124897 | + | 0.0907431i | ||||
\(206\) | −2.90678 | − | 2.11190i | −0.202525 | − | 0.147143i | ||||
\(207\) | −2.48058 | − | 7.63443i | −0.172412 | − | 0.530630i | ||||
\(208\) | −12.5342 | −0.869090 | ||||||||
\(209\) | −14.3720 | − | 0.824235i | −0.994132 | − | 0.0570135i | ||||
\(210\) | −0.414031 | −0.0285709 | ||||||||
\(211\) | 1.07649 | + | 3.31309i | 0.0741086 | + | 0.228083i | 0.981249 | − | 0.192746i | \(-0.0617393\pi\) |
−0.907140 | + | 0.420829i | \(0.861739\pi\) | |||||||
\(212\) | −9.08148 | − | 6.59808i | −0.623719 | − | 0.453158i | ||||
\(213\) | −0.312523 | + | 0.227061i | −0.0214137 | + | 0.0155580i | ||||
\(214\) | 2.65897 | − | 8.18348i | 0.181764 | − | 0.559411i | ||||
\(215\) | 2.18388 | − | 6.72129i | 0.148939 | − | 0.458388i | ||||
\(216\) | −2.77420 | + | 2.01558i | −0.188760 | + | 0.137143i | ||||
\(217\) | −5.18397 | − | 3.76638i | −0.351911 | − | 0.255678i | ||||
\(218\) | −2.41358 | − | 7.42824i | −0.163468 | − | 0.503104i | ||||
\(219\) | 0.330084 | 0.0223050 | ||||||||
\(220\) | −4.54963 | − | 3.72148i | −0.306736 | − | 0.250902i | ||||
\(221\) | 21.5950 | 1.45264 | ||||||||
\(222\) | −0.507102 | − | 1.56070i | −0.0340345 | − | 0.104747i | ||||
\(223\) | −8.53103 | − | 6.19816i | −0.571280 | − | 0.415059i | 0.264290 | − | 0.964443i | \(-0.414862\pi\) |
−0.835570 | + | 0.549384i | \(0.814862\pi\) | |||||||
\(224\) | −10.6061 | + | 7.70575i | −0.708647 | + | 0.514862i | ||||
\(225\) | −0.894797 | + | 2.75390i | −0.0596532 | + | 0.183594i | ||||
\(226\) | −0.302893 | + | 0.932209i | −0.0201481 | + | 0.0620096i | ||||
\(227\) | −0.174762 | + | 0.126972i | −0.0115994 | + | 0.00842743i | −0.593570 | − | 0.804782i | \(-0.702282\pi\) |
0.581970 | + | 0.813210i | \(0.302282\pi\) | |||||||
\(228\) | −2.01052 | − | 1.46073i | −0.133150 | − | 0.0967390i | ||||
\(229\) | −0.0233956 | − | 0.0720042i | −0.00154602 | − | 0.00475817i | 0.950281 | − | 0.311395i | \(-0.100796\pi\) |
−0.951827 | + | 0.306637i | \(0.900796\pi\) | |||||||
\(230\) | −1.32307 | −0.0872407 | ||||||||
\(231\) | −2.42074 | + | 1.55514i | −0.159273 | + | 0.102321i | ||||
\(232\) | 5.42514 | 0.356178 | ||||||||
\(233\) | 4.67235 | + | 14.3800i | 0.306096 | + | 0.942067i | 0.979266 | + | 0.202579i | \(0.0649323\pi\) |
−0.673170 | + | 0.739488i | \(0.735068\pi\) | |||||||
\(234\) | −5.21881 | − | 3.79169i | −0.341164 | − | 0.247870i | ||||
\(235\) | 3.52905 | − | 2.56401i | 0.230210 | − | 0.167257i | ||||
\(236\) | −6.43336 | + | 19.7999i | −0.418776 | + | 1.28886i | ||||
\(237\) | 0.349634 | − | 1.07606i | 0.0227111 | − | 0.0698977i | ||||
\(238\) | 4.79655 | − | 3.48489i | 0.310914 | − | 0.225892i | ||||
\(239\) | 18.7406 | + | 13.6158i | 1.21223 | + | 0.880734i | 0.995431 | − | 0.0954825i | \(-0.0304394\pi\) |
0.216796 | + | 0.976217i | \(0.430439\pi\) | |||||||
\(240\) | −0.268077 | − | 0.825058i | −0.0173043 | − | 0.0532572i | ||||
\(241\) | −21.3349 | −1.37430 | −0.687151 | − | 0.726515i | \(-0.741139\pi\) | ||||
−0.687151 | + | 0.726515i | \(0.741139\pi\) | |||||||
\(242\) | 5.21544 | + | 0.600185i | 0.335261 | + | 0.0385814i | ||||
\(243\) | 8.32179 | 0.533843 | ||||||||
\(244\) | 2.18107 | + | 6.71266i | 0.139629 | + | 0.429734i | ||||
\(245\) | 0.170221 | + | 0.123673i | 0.0108750 | + | 0.00790119i | ||||
\(246\) | 0.275729 | − | 0.200329i | 0.0175798 | − | 0.0127725i | ||||
\(247\) | 6.26085 | − | 19.2689i | 0.398368 | − | 1.22605i | ||||
\(248\) | −1.32758 | + | 4.08586i | −0.0843012 | + | 0.259453i | ||||
\(249\) | −2.90535 | + | 2.11086i | −0.184119 | + | 0.133770i | ||||
\(250\) | 0.386111 | + | 0.280526i | 0.0244198 | + | 0.0177420i | ||||
\(251\) | −1.92266 | − | 5.91734i | −0.121357 | − | 0.373499i | 0.871863 | − | 0.489751i | \(-0.162912\pi\) |
−0.993220 | + | 0.116251i | \(0.962912\pi\) | |||||||
\(252\) | 13.7797 | 0.868041 | ||||||||
\(253\) | −7.73567 | + | 4.96959i | −0.486338 | + | 0.312435i | ||||
\(254\) | −0.0363991 | −0.00228388 | ||||||||
\(255\) | 0.461867 | + | 1.42148i | 0.0289232 | + | 0.0890165i | ||||
\(256\) | −0.588982 | − | 0.427920i | −0.0368113 | − | 0.0267450i | ||||
\(257\) | 11.5611 | − | 8.39964i | 0.721163 | − | 0.523955i | −0.165593 | − | 0.986194i | \(-0.552954\pi\) |
0.886755 | + | 0.462239i | \(0.152954\pi\) | |||||||
\(258\) | −0.336730 | + | 1.03635i | −0.0209639 | + | 0.0645203i | ||||
\(259\) | −8.83126 | + | 27.1798i | −0.548748 | + | 1.68887i | ||||
\(260\) | 6.69257 | − | 4.86243i | 0.415055 | − | 0.301555i | ||||
\(261\) | −7.05926 | − | 5.12885i | −0.436957 | − | 0.317468i | ||||
\(262\) | −1.69355 | − | 5.21220i | −0.104628 | − | 0.322011i | ||||
\(263\) | 4.13132 | 0.254748 | 0.127374 | − | 0.991855i | \(-0.459345\pi\) | ||||
0.127374 | + | 0.991855i | \(0.459345\pi\) | |||||||
\(264\) | 1.49316 | + | 1.22137i | 0.0918979 | + | 0.0751703i | ||||
\(265\) | 6.33404 | 0.389097 | ||||||||
\(266\) | −1.71890 | − | 5.29024i | −0.105393 | − | 0.324365i | ||||
\(267\) | −0.723937 | − | 0.525971i | −0.0443042 | − | 0.0321889i | ||||
\(268\) | 10.4949 | − | 7.62497i | 0.641077 | − | 0.465769i | ||||
\(269\) | −0.520367 | + | 1.60152i | −0.0317273 | + | 0.0976466i | −0.965666 | − | 0.259786i | \(-0.916348\pi\) |
0.933939 | + | 0.357433i | \(0.116348\pi\) | |||||||
\(270\) | 0.280909 | − | 0.864548i | 0.0170956 | − | 0.0526147i | ||||
\(271\) | 14.9110 | − | 10.8335i | 0.905778 | − | 0.658086i | −0.0341657 | − | 0.999416i | \(-0.510877\pi\) |
0.939943 | + | 0.341330i | \(0.110877\pi\) | |||||||
\(272\) | 10.0502 | + | 7.30188i | 0.609381 | + | 0.442741i | ||||
\(273\) | −1.25134 | − | 3.85124i | −0.0757348 | − | 0.233088i | ||||
\(274\) | −8.74784 | −0.528476 | ||||||||
\(275\) | 3.31118 | + | 0.189896i | 0.199672 | + | 0.0114512i | ||||
\(276\) | −1.58725 | −0.0955411 | ||||||||
\(277\) | −1.05914 | − | 3.25969i | −0.0636375 | − | 0.195856i | 0.914183 | − | 0.405303i | \(-0.132834\pi\) |
−0.977820 | + | 0.209446i | \(0.932834\pi\) | |||||||
\(278\) | 8.95290 | + | 6.50466i | 0.536959 | + | 0.390124i | ||||
\(279\) | 5.59017 | − | 4.06150i | 0.334675 | − | 0.243155i | ||||
\(280\) | 1.49388 | − | 4.59768i | 0.0892762 | − | 0.274764i | ||||
\(281\) | −7.05230 | + | 21.7048i | −0.420705 | + | 1.29480i | 0.486342 | + | 0.873769i | \(0.338331\pi\) |
−0.907047 | + | 0.421029i | \(0.861669\pi\) | |||||||
\(282\) | −0.544141 | + | 0.395341i | −0.0324031 | + | 0.0235422i | ||||
\(283\) | 23.5416 | + | 17.1040i | 1.39941 | + | 1.01673i | 0.994758 | + | 0.102255i | \(0.0326057\pi\) |
0.404647 | + | 0.914473i | \(0.367394\pi\) | |||||||
\(284\) | −0.654828 | − | 2.01535i | −0.0388569 | − | 0.119589i | ||||
\(285\) | 1.40227 | 0.0830634 | ||||||||
\(286\) | −2.68183 | + | 6.88482i | −0.158580 | + | 0.407108i | ||||
\(287\) | −5.93542 | −0.350357 | ||||||||
\(288\) | −4.36859 | − | 13.4451i | −0.257422 | − | 0.792262i | ||||
\(289\) | −3.56201 | − | 2.58795i | −0.209530 | − | 0.152232i | ||||
\(290\) | −1.16351 | + | 0.845342i | −0.0683239 | + | 0.0496402i | ||||
\(291\) | 1.85035 | − | 5.69480i | 0.108470 | − | 0.333835i | ||||
\(292\) | −0.559534 | + | 1.72207i | −0.0327443 | + | 0.100776i | ||||
\(293\) | −17.1621 | + | 12.4690i | −1.00262 | + | 0.728448i | −0.962649 | − | 0.270753i | \(-0.912727\pi\) |
−0.0399740 | + | 0.999201i | \(0.512727\pi\) | |||||||
\(294\) | −0.0262463 | − | 0.0190690i | −0.00153071 | − | 0.00111213i | ||||
\(295\) | −3.63011 | − | 11.1723i | −0.211353 | − | 0.650478i | ||||
\(296\) | 19.1608 | 1.11370 | ||||||||
\(297\) | −1.60492 | − | 6.10992i | −0.0931271 | − | 0.354534i | ||||
\(298\) | 6.99883 | 0.405432 | ||||||||
\(299\) | −3.99878 | − | 12.3070i | −0.231255 | − | 0.711731i | ||||
\(300\) | 0.463206 | + | 0.336539i | 0.0267432 | + | 0.0194301i | ||||
\(301\) | 15.3527 | − | 11.1544i | 0.884913 | − | 0.642927i | ||||
\(302\) | −1.10892 | + | 3.41289i | −0.0638109 | + | 0.196390i | ||||
\(303\) | −0.710278 | + | 2.18601i | −0.0408044 | + | 0.125583i | ||||
\(304\) | 9.42913 | − | 6.85066i | 0.540798 | − | 0.392912i | ||||
\(305\) | −3.22201 | − | 2.34093i | −0.184492 | − | 0.134041i | ||||
\(306\) | 1.97568 | + | 6.08051i | 0.112942 | + | 0.347599i | ||||
\(307\) | −6.87520 | −0.392388 | −0.196194 | − | 0.980565i | \(-0.562858\pi\) | ||||
−0.196194 | + | 0.980565i | \(0.562858\pi\) | |||||||
\(308\) | −4.00982 | − | 15.2653i | −0.228481 | − | 0.869823i | ||||
\(309\) | 2.43219 | 0.138363 | ||||||||
\(310\) | −0.351935 | − | 1.08314i | −0.0199886 | − | 0.0615185i | ||||
\(311\) | −20.3530 | − | 14.7873i | −1.15411 | − | 0.838511i | −0.165089 | − | 0.986279i | \(-0.552791\pi\) |
−0.989022 | + | 0.147768i | \(0.952791\pi\) | |||||||
\(312\) | −2.19647 | + | 1.59583i | −0.124350 | + | 0.0903459i | ||||
\(313\) | −3.57821 | + | 11.0126i | −0.202252 | + | 0.622469i | 0.797563 | + | 0.603236i | \(0.206122\pi\) |
−0.999815 | + | 0.0192328i | \(0.993878\pi\) | |||||||
\(314\) | −1.97358 | + | 6.07406i | −0.111376 | + | 0.342779i | ||||
\(315\) | −6.29042 | + | 4.57026i | −0.354425 | + | 0.257505i | ||||
\(316\) | 5.02121 | + | 3.64812i | 0.282465 | + | 0.205223i | ||||
\(317\) | 6.40940 | + | 19.7261i | 0.359988 | + | 1.10793i | 0.953061 | + | 0.302780i | \(0.0979146\pi\) |
−0.593073 | + | 0.805149i | \(0.702085\pi\) | |||||||
\(318\) | −0.976639 | −0.0547672 | ||||||||
\(319\) | −3.62759 | + | 9.31278i | −0.203106 | + | 0.521416i | ||||
\(320\) | 3.04036 | 0.169961 | ||||||||
\(321\) | 1.79994 | + | 5.53963i | 0.100463 | + | 0.309192i | ||||
\(322\) | −2.87422 | − | 2.08825i | −0.160174 | − | 0.116373i | ||||
\(323\) | −16.2453 | + | 11.8029i | −0.903913 | + | 0.656731i | ||||
\(324\) | −4.42034 | + | 13.6044i | −0.245575 | + | 0.755801i | ||||
\(325\) | −1.44244 | + | 4.43939i | −0.0800124 | + | 0.246253i | ||||
\(326\) | 0.298074 | − | 0.216564i | 0.0165088 | − | 0.0119943i | ||||
\(327\) | 4.27740 | + | 3.10771i | 0.236541 | + | 0.171857i | ||||
\(328\) | 1.22972 | + | 3.78469i | 0.0679000 | + | 0.208975i | ||||
\(329\) | 11.7133 | 0.645777 | ||||||||
\(330\) | −0.510548 | − | 0.0292799i | −0.0281047 | − | 0.00161181i | ||||
\(331\) | −32.1415 | −1.76665 | −0.883327 | − | 0.468757i | \(-0.844702\pi\) | ||||
−0.883327 | + | 0.468757i | \(0.844702\pi\) | |||||||
\(332\) | −6.08755 | − | 18.7356i | −0.334098 | − | 1.02825i | ||||
\(333\) | −24.9322 | − | 18.1143i | −1.36627 | − | 0.992657i | ||||
\(334\) | 3.27512 | − | 2.37951i | 0.179207 | − | 0.130201i | ||||
\(335\) | −2.26195 | + | 6.96158i | −0.123584 | + | 0.380352i | ||||
\(336\) | 0.719847 | − | 2.21546i | 0.0392709 | − | 0.120863i | ||||
\(337\) | 14.5594 | − | 10.5780i | 0.793100 | − | 0.576221i | −0.115782 | − | 0.993275i | \(-0.536937\pi\) |
0.908882 | + | 0.417054i | \(0.136937\pi\) | |||||||
\(338\) | −3.39346 | − | 2.46549i | −0.184580 | − | 0.134105i | ||||
\(339\) | −0.205037 | − | 0.631039i | −0.0111361 | − | 0.0342734i | ||||
\(340\) | −8.19888 | −0.444647 | ||||||||
\(341\) | −6.12608 | − | 5.01098i | −0.331746 | − | 0.271360i | ||||
\(342\) | 5.99834 | 0.324353 | ||||||||
\(343\) | −5.63386 | − | 17.3392i | −0.304200 | − | 0.936231i | ||||
\(344\) | −10.2933 | − | 7.47855i | −0.554980 | − | 0.403217i | ||||
\(345\) | 0.724576 | − | 0.526435i | 0.0390099 | − | 0.0283423i | ||||
\(346\) | 0.749016 | − | 2.30523i | 0.0402673 | − | 0.123930i | ||||
\(347\) | −2.48753 | + | 7.65583i | −0.133538 | + | 0.410986i | −0.995360 | − | 0.0962243i | \(-0.969323\pi\) |
0.861822 | + | 0.507211i | \(0.169323\pi\) | |||||||
\(348\) | −1.39583 | + | 1.01413i | −0.0748244 | + | 0.0543631i | ||||
\(349\) | −15.5569 | − | 11.3027i | −0.832741 | − | 0.605022i | 0.0875926 | − | 0.996156i | \(-0.472083\pi\) |
−0.920333 | + | 0.391135i | \(0.872083\pi\) | |||||||
\(350\) | 0.396020 | + | 1.21882i | 0.0211682 | + | 0.0651489i | ||||
\(351\) | 8.89088 | 0.474560 | ||||||||
\(352\) | −13.6234 | + | 8.75202i | −0.726131 | + | 0.466484i | ||||
\(353\) | 14.8497 | 0.790371 | 0.395186 | − | 0.918601i | \(-0.370680\pi\) | ||||
0.395186 | + | 0.918601i | \(0.370680\pi\) | |||||||
\(354\) | 0.559723 | + | 1.72265i | 0.0297489 | + | 0.0915578i | ||||
\(355\) | 0.967351 | + | 0.702822i | 0.0513417 | + | 0.0373019i | ||||
\(356\) | 3.97119 | − | 2.88524i | 0.210473 | − | 0.152917i | ||||
\(357\) | −1.24021 | + | 3.81698i | −0.0656391 | + | 0.202016i | ||||
\(358\) | −1.66905 | + | 5.13682i | −0.0882123 | + | 0.271489i | ||||
\(359\) | −8.27079 | + | 6.00908i | −0.436516 | + | 0.317147i | −0.784249 | − | 0.620446i | \(-0.786952\pi\) |
0.347733 | + | 0.937594i | \(0.386952\pi\) | |||||||
\(360\) | 4.21747 | + | 3.06417i | 0.222280 | + | 0.161496i | ||||
\(361\) | −0.0496143 | − | 0.152697i | −0.00261128 | − | 0.00803670i | ||||
\(362\) | 3.53175 | 0.185625 | ||||||||
\(363\) | −3.09503 | + | 1.74648i | −0.162447 | + | 0.0916662i | ||||
\(364\) | 22.2134 | 1.16430 | ||||||||
\(365\) | −0.315724 | − | 0.971700i | −0.0165258 | − | 0.0508611i | ||||
\(366\) | 0.496799 | + | 0.360945i | 0.0259681 | + | 0.0188669i | ||||
\(367\) | −11.4422 | + | 8.31327i | −0.597280 | + | 0.433949i | −0.844912 | − | 0.534905i | \(-0.820347\pi\) |
0.247632 | + | 0.968854i | \(0.420347\pi\) | |||||||
\(368\) | 2.30033 | − | 7.07969i | 0.119913 | − | 0.369054i | ||||
\(369\) | 1.97786 | − | 6.08724i | 0.102964 | − | 0.316889i | ||||
\(370\) | −4.10935 | + | 2.98562i | −0.213635 | + | 0.155215i | ||||
\(371\) | 13.7600 | + | 9.99722i | 0.714383 | + | 0.519030i | ||||
\(372\) | −0.422205 | − | 1.29941i | −0.0218903 | − | 0.0673715i | ||||
\(373\) | 12.4600 | 0.645154 | 0.322577 | − | 0.946543i | \(-0.395451\pi\) | ||||
0.322577 | + | 0.946543i | \(0.395451\pi\) | |||||||
\(374\) | 6.16114 | − | 3.95807i | 0.318585 | − | 0.204667i | ||||
\(375\) | −0.323071 | −0.0166833 | ||||||||
\(376\) | −2.42681 | − | 7.46894i | −0.125153 | − | 0.385181i | ||||
\(377\) | −11.3798 | − | 8.26788i | −0.586088 | − | 0.425818i | ||||
\(378\) | 1.97479 | − | 1.43477i | 0.101572 | − | 0.0737965i | ||||
\(379\) | 5.04840 | − | 15.5374i | 0.259319 | − | 0.798102i | −0.733629 | − | 0.679550i | \(-0.762175\pi\) |
0.992948 | − | 0.118552i | \(-0.0378251\pi\) | |||||||
\(380\) | −2.37703 | + | 7.31575i | −0.121939 | + | 0.375290i | ||||
\(381\) | 0.0199338 | − | 0.0144828i | 0.00102124 | − | 0.000741975i | ||||
\(382\) | 1.99082 | + | 1.44642i | 0.101859 | + | 0.0740051i | ||||
\(383\) | −0.251122 | − | 0.772874i | −0.0128317 | − | 0.0394920i | 0.944436 | − | 0.328696i | \(-0.106609\pi\) |
−0.957267 | + | 0.289204i | \(0.906609\pi\) | |||||||
\(384\) | −3.62339 | −0.184905 | ||||||||
\(385\) | 6.89346 | + | 5.63868i | 0.351323 | + | 0.287374i | ||||
\(386\) | −1.92445 | −0.0979522 | ||||||||
\(387\) | 6.32370 | + | 19.4623i | 0.321452 | + | 0.989327i | ||||
\(388\) | 26.5736 | + | 19.3068i | 1.34907 | + | 0.980155i | ||||
\(389\) | 24.5894 | − | 17.8652i | 1.24673 | − | 0.905802i | 0.248702 | − | 0.968580i | \(-0.419996\pi\) |
0.998028 | + | 0.0627780i | \(0.0199960\pi\) | |||||||
\(390\) | 0.222409 | − | 0.684504i | 0.0112621 | − | 0.0346612i | ||||
\(391\) | −3.96321 | + | 12.1975i | −0.200428 | + | 0.616854i | ||||
\(392\) | 0.306455 | − | 0.222653i | 0.0154783 | − | 0.0112457i | ||||
\(393\) | 3.00134 | + | 2.18060i | 0.151398 | + | 0.109997i | ||||
\(394\) | 1.68388 | + | 5.18245i | 0.0848327 | + | 0.261088i | ||||
\(395\) | −3.50213 | −0.176211 | ||||||||
\(396\) | 16.9920 | + | 0.974490i | 0.853879 | + | 0.0489700i | ||||
\(397\) | −14.8996 | −0.747789 | −0.373894 | − | 0.927471i | \(-0.621978\pi\) | ||||
−0.373894 | + | 0.927471i | \(0.621978\pi\) | |||||||
\(398\) | −1.05692 | − | 3.25285i | −0.0529784 | − | 0.163051i | ||||
\(399\) | 3.04628 | + | 2.21325i | 0.152505 | + | 0.110801i | ||||
\(400\) | −2.17239 | + | 1.57833i | −0.108619 | + | 0.0789166i | ||||
\(401\) | 3.76049 | − | 11.5736i | 0.187790 | − | 0.577957i | −0.812196 | − | 0.583385i | \(-0.801728\pi\) |
0.999985 | + | 0.00542792i | \(0.00172777\pi\) | |||||||
\(402\) | 0.348768 | − | 1.07340i | 0.0173950 | − | 0.0535362i | ||||
\(403\) | 9.01155 | − | 6.54727i | 0.448897 | − | 0.326143i | ||||
\(404\) | −10.2006 | − | 7.41114i | −0.507496 | − | 0.368718i | ||||
\(405\) | −2.49424 | − | 7.67647i | −0.123940 | − | 0.381447i | ||||
\(406\) | −3.86184 | −0.191660 | ||||||||
\(407\) | −12.8121 | + | 32.8913i | −0.635071 | + | 1.63036i | ||||
\(408\) | 2.69083 | 0.133216 | ||||||||
\(409\) | −0.0809957 | − | 0.249279i | −0.00400498 | − | 0.0123261i | 0.949034 | − | 0.315174i | \(-0.102063\pi\) |
−0.953039 | + | 0.302847i | \(0.902063\pi\) | |||||||
\(410\) | −0.853463 | − | 0.620077i | −0.0421495 | − | 0.0306234i | ||||
\(411\) | 4.79073 | − | 3.48067i | 0.236309 | − | 0.171689i | ||||
\(412\) | −4.12288 | + | 12.6889i | −0.203120 | + | 0.625138i | ||||
\(413\) | 9.74764 | − | 30.0002i | 0.479650 | − | 1.47621i | ||||
\(414\) | 3.09944 | − | 2.25187i | 0.152329 | − | 0.110674i | ||||
\(415\) | 8.99290 | + | 6.53372i | 0.441444 | + | 0.320728i | ||||
\(416\) | −7.04232 | − | 21.6740i | −0.345278 | − | 1.06266i | ||||
\(417\) | −7.49116 | −0.366844 | ||||||||
\(418\) | −1.74548 | − | 6.64503i | −0.0853744 | − | 0.325019i | ||||
\(419\) | −1.26916 | −0.0620023 | −0.0310012 | − | 0.999519i | \(-0.509870\pi\) | ||||
−0.0310012 | + | 0.999519i | \(0.509870\pi\) | |||||||
\(420\) | 0.475093 | + | 1.46219i | 0.0231822 | + | 0.0713474i | ||||
\(421\) | 23.9999 | + | 17.4369i | 1.16968 | + | 0.849824i | 0.990971 | − | 0.134078i | \(-0.0428071\pi\) |
0.178712 | + | 0.983902i | \(0.442807\pi\) | |||||||
\(422\) | −1.34506 | + | 0.977240i | −0.0654763 | + | 0.0475713i | ||||
\(423\) | −3.90324 | + | 12.0129i | −0.189782 | + | 0.584089i | ||||
\(424\) | 3.52384 | − | 10.8452i | 0.171133 | − | 0.526692i | ||||
\(425\) | 3.74278 | − | 2.71929i | 0.181551 | − | 0.131905i | ||||
\(426\) | −0.149155 | − | 0.108367i | −0.00722658 | − | 0.00525041i | ||||
\(427\) | −3.30470 | − | 10.1708i | −0.159926 | − | 0.492200i | ||||
\(428\) | −31.9518 | −1.54445 | ||||||||
\(429\) | −1.27070 | − | 4.83752i | −0.0613497 | − | 0.233558i | ||||
\(430\) | 3.37289 | 0.162655 | ||||||||
\(431\) | 9.68919 | + | 29.8203i | 0.466712 | + | 1.43639i | 0.856817 | + | 0.515621i | \(0.172439\pi\) |
−0.390105 | + | 0.920771i | \(0.627561\pi\) | |||||||
\(432\) | 4.13776 | + | 3.00626i | 0.199078 | + | 0.144639i | ||||
\(433\) | 21.0607 | − | 15.3015i | 1.01212 | − | 0.735345i | 0.0474634 | − | 0.998873i | \(-0.484886\pi\) |
0.964652 | + | 0.263528i | \(0.0848863\pi\) | |||||||
\(434\) | 0.945023 | − | 2.90848i | 0.0453625 | − | 0.139612i | ||||
\(435\) | 0.300843 | − | 0.925898i | 0.0144243 | − | 0.0443934i | ||||
\(436\) | −23.4639 | + | 17.0475i | −1.12372 | + | 0.816429i | ||||
\(437\) | 9.73464 | + | 7.07263i | 0.465671 | + | 0.338330i | ||||
\(438\) | 0.0486812 | + | 0.149825i | 0.00232608 | + | 0.00715893i | ||||
\(439\) | 14.4191 | 0.688185 | 0.344093 | − | 0.938936i | \(-0.388187\pi\) | ||||
0.344093 | + | 0.938936i | \(0.388187\pi\) | |||||||
\(440\) | 2.16726 | − | 5.56382i | 0.103320 | − | 0.265245i | ||||
\(441\) | −0.609255 | −0.0290121 | ||||||||
\(442\) | 3.18486 | + | 9.80199i | 0.151488 | + | 0.466233i | ||||
\(443\) | 0.267467 | + | 0.194326i | 0.0127078 | + | 0.00923273i | 0.594121 | − | 0.804376i | \(-0.297500\pi\) |
−0.581413 | + | 0.813608i | \(0.697500\pi\) | |||||||
\(444\) | −4.92986 | + | 3.58175i | −0.233961 | + | 0.169982i | ||||
\(445\) | −0.855908 | + | 2.63421i | −0.0405739 | + | 0.124874i | ||||
\(446\) | 1.55518 | − | 4.78636i | 0.0736400 | − | 0.226641i | ||||
\(447\) | −3.83289 | + | 2.78476i | −0.181289 | + | 0.131715i | ||||
\(448\) | 6.60483 | + | 4.79869i | 0.312049 | + | 0.226717i | ||||
\(449\) | 2.62920 | + | 8.09185i | 0.124080 | + | 0.381878i | 0.993732 | − | 0.111786i | \(-0.0356571\pi\) |
−0.869653 | + | 0.493664i | \(0.835657\pi\) | |||||||
\(450\) | −1.38197 | −0.0651465 | ||||||||
\(451\) | −7.31906 | − | 0.419748i | −0.344641 | − | 0.0197652i | ||||
\(452\) | 3.63974 | 0.171199 | ||||||||
\(453\) | −0.750657 | − | 2.31028i | −0.0352689 | − | 0.108547i | ||||
\(454\) | −0.0834069 | − | 0.0605986i | −0.00391448 | − | 0.00284404i | ||||
\(455\) | −10.1404 | + | 7.36742i | −0.475388 | + | 0.345390i | ||||
\(456\) | 0.780130 | − | 2.40099i | 0.0365329 | − | 0.112437i | ||||
\(457\) | 0.351807 | − | 1.08275i | 0.0164569 | − | 0.0506490i | −0.942491 | − | 0.334232i | \(-0.891523\pi\) |
0.958948 | + | 0.283583i | \(0.0915231\pi\) | |||||||
\(458\) | 0.0292324 | − | 0.0212386i | 0.00136594 | − | 0.000992413i | ||||
\(459\) | −7.12889 | − | 5.17944i | −0.332748 | − | 0.241756i | ||||
\(460\) | 1.51820 | + | 4.67254i | 0.0707864 | + | 0.217858i | ||||
\(461\) | 14.5073 | 0.675670 | 0.337835 | − | 0.941205i | \(-0.390305\pi\) | ||||
0.337835 | + | 0.941205i | \(0.390305\pi\) | |||||||
\(462\) | −1.06289 | − | 0.869422i | −0.0494503 | − | 0.0404492i | ||||
\(463\) | −4.89739 | −0.227601 | −0.113801 | − | 0.993504i | \(-0.536302\pi\) | ||||
−0.113801 | + | 0.993504i | \(0.536302\pi\) | |||||||
\(464\) | −2.50047 | − | 7.69565i | −0.116081 | − | 0.357261i | ||||
\(465\) | 0.623707 | + | 0.453150i | 0.0289237 | + | 0.0210143i | ||||
\(466\) | −5.83803 | + | 4.24157i | −0.270441 | + | 0.196487i | ||||
\(467\) | 10.0193 | − | 30.8361i | 0.463637 | − | 1.42693i | −0.397053 | − | 0.917796i | \(-0.629967\pi\) |
0.860689 | − | 0.509131i | \(-0.170033\pi\) | |||||||
\(468\) | −7.40218 | + | 22.7816i | −0.342166 | + | 1.05308i | ||||
\(469\) | −15.9015 | + | 11.5531i | −0.734264 | + | 0.533474i | ||||
\(470\) | 1.68428 | + | 1.22370i | 0.0776898 | + | 0.0564450i | ||||
\(471\) | −1.33597 | − | 4.11171i | −0.0615585 | − | 0.189457i | ||||
\(472\) | −21.1490 | −0.973461 | ||||||||
\(473\) | 19.7204 | − | 12.6689i | 0.906747 | − | 0.582516i | ||||
\(474\) | 0.539990 | 0.0248026 | ||||||||
\(475\) | −1.34127 | − | 4.12801i | −0.0615417 | − | 0.189406i | ||||
\(476\) | −17.8111 | − | 12.9406i | −0.816373 | − | 0.593129i | ||||
\(477\) | −14.8382 | + | 10.7806i | −0.679394 | + | 0.493609i | ||||
\(478\) | −3.41635 | + | 10.5145i | −0.156260 | + | 0.480920i | ||||
\(479\) | 5.48054 | − | 16.8674i | 0.250412 | − | 0.770690i | −0.744287 | − | 0.667860i | \(-0.767210\pi\) |
0.994699 | − | 0.102830i | \(-0.0327897\pi\) | |||||||
\(480\) | 1.27606 | − | 0.927114i | 0.0582441 | − | 0.0423168i | ||||
\(481\) | −40.1915 | − | 29.2009i | −1.83258 | − | 1.33144i | ||||
\(482\) | −3.14650 | − | 9.68394i | −0.143319 | − | 0.441091i | ||||
\(483\) | 2.40495 | 0.109429 | ||||||||
\(484\) | −3.86502 | − | 19.1075i | −0.175683 | − | 0.868521i | ||||
\(485\) | −18.5342 | −0.841595 | ||||||||
\(486\) | 1.22731 | + | 3.77727i | 0.0556719 | + | 0.171341i | ||||
\(487\) | 14.9347 | + | 10.8507i | 0.676754 | + | 0.491691i | 0.872279 | − | 0.489008i | \(-0.162641\pi\) |
−0.195525 | + | 0.980699i | \(0.562641\pi\) | |||||||
\(488\) | −5.80069 | + | 4.21445i | −0.262585 | + | 0.190779i | ||||
\(489\) | −0.0770712 | + | 0.237201i | −0.00348528 | + | 0.0107266i | ||||
\(490\) | −0.0310309 | + | 0.0955032i | −0.00140183 | + | 0.00431440i | ||||
\(491\) | 9.25018 | − | 6.72065i | 0.417455 | − | 0.303299i | −0.359158 | − | 0.933277i | \(-0.616936\pi\) |
0.776613 | + | 0.629978i | \(0.216936\pi\) | |||||||
\(492\) | −1.02387 | − | 0.743887i | −0.0461597 | − | 0.0335370i | ||||
\(493\) | 4.30802 | + | 13.2587i | 0.194023 | + | 0.597142i | ||||
\(494\) | 9.66954 | 0.435053 | ||||||||
\(495\) | −8.08002 | + | 5.19080i | −0.363170 | + | 0.233309i | ||||
\(496\) | 6.40774 | 0.287716 | ||||||||
\(497\) | 0.992176 | + | 3.05360i | 0.0445052 | + | 0.136973i | ||||
\(498\) | −1.38661 | − | 1.00743i | −0.0621353 | − | 0.0451439i | ||||
\(499\) | −8.80335 | + | 6.39601i | −0.394092 | + | 0.286325i | −0.767130 | − | 0.641491i | \(-0.778316\pi\) |
0.373038 | + | 0.927816i | \(0.378316\pi\) | |||||||
\(500\) | 0.547647 | − | 1.68548i | 0.0244915 | − | 0.0753771i | ||||
\(501\) | −0.846827 | + | 2.60627i | −0.0378335 | + | 0.116439i | ||||
\(502\) | 2.40233 | − | 1.74540i | 0.107221 | − | 0.0779009i | ||||
\(503\) | −36.1830 | − | 26.2885i | −1.61332 | − | 1.17215i | −0.851490 | − | 0.524371i | \(-0.824301\pi\) |
−0.761831 | − | 0.647776i | \(-0.775699\pi\) | |||||||
\(504\) | 4.32571 | + | 13.3132i | 0.192682 | + | 0.593015i | ||||
\(505\) | 7.11455 | 0.316594 | ||||||||
\(506\) | −3.39657 | − | 2.77831i | −0.150996 | − | 0.123511i | ||||
\(507\) | 2.83941 | 0.126103 | ||||||||
\(508\) | 0.0417673 | + | 0.128546i | 0.00185312 | + | 0.00570332i | ||||
\(509\) | 11.1720 | + | 8.11693i | 0.495190 | + | 0.359777i | 0.807177 | − | 0.590310i | \(-0.200994\pi\) |
−0.311987 | + | 0.950086i | \(0.600994\pi\) | |||||||
\(510\) | −0.577094 | + | 0.419284i | −0.0255542 | + | 0.0185662i | ||||
\(511\) | 0.847790 | − | 2.60923i | 0.0375040 | − | 0.115425i | ||||
\(512\) | 7.03891 | − | 21.6635i | 0.311079 | − | 0.957402i | ||||
\(513\) | −6.68836 | + | 4.85938i | −0.295298 | + | 0.214547i | ||||
\(514\) | 5.51766 | + | 4.00881i | 0.243374 | + | 0.176821i | ||||
\(515\) | −2.32639 | − | 7.15989i | −0.102513 | − | 0.315502i | ||||
\(516\) | 4.04635 | 0.178130 | ||||||||
\(517\) | 14.4439 | + | 0.828356i | 0.635241 | + | 0.0364311i | ||||
\(518\) | −13.6394 | −0.599281 | ||||||||
\(519\) | 0.507030 | + | 1.56048i | 0.0222562 | + | 0.0684974i | ||||
\(520\) | 6.79871 | + | 4.93955i | 0.298143 | + | 0.216614i | ||||
\(521\) | 2.95269 | − | 2.14525i | 0.129360 | − | 0.0939852i | −0.521224 | − | 0.853420i | \(-0.674524\pi\) |
0.650584 | + | 0.759435i | \(0.274524\pi\) | |||||||
\(522\) | 1.28688 | − | 3.96061i | 0.0563253 | − | 0.173351i | ||||
\(523\) | −1.54109 | + | 4.74299i | −0.0673872 | + | 0.207396i | −0.979080 | − | 0.203476i | \(-0.934776\pi\) |
0.911693 | + | 0.410873i | \(0.134776\pi\) | |||||||
\(524\) | −16.4640 | + | 11.9618i | −0.719233 | + | 0.522553i | ||||
\(525\) | −0.701836 | − | 0.509914i | −0.0306306 | − | 0.0222545i | ||||
\(526\) | 0.609292 | + | 1.87521i | 0.0265664 | + | 0.0817630i | ||||
\(527\) | −11.0398 | −0.480901 | ||||||||
\(528\) | 1.04433 | − | 2.68101i | 0.0454486 | − | 0.116676i | ||||
\(529\) | −15.3148 | −0.665860 | ||||||||
\(530\) | 0.934153 | + | 2.87503i | 0.0405770 | + | 0.124883i | ||||
\(531\) | 27.5193 | + | 19.9939i | 1.19424 | + | 0.867663i | ||||
\(532\) | −16.7105 | + | 12.1409i | −0.724493 | + | 0.526375i | ||||
\(533\) | 3.18839 | − | 9.81284i | 0.138104 | − | 0.425041i | ||||
\(534\) | 0.131972 | − | 0.406167i | 0.00571097 | − | 0.0175766i | ||||
\(535\) | 14.5859 | − | 10.5973i | 0.630605 | − | 0.458161i | ||||
\(536\) | 10.6613 | + | 7.74591i | 0.460499 | + | 0.334572i | ||||
\(537\) | −1.12983 | − | 3.47726i | −0.0487558 | − | 0.150055i | ||||
\(538\) | −0.803678 | −0.0346490 | ||||||||
\(539\) | 0.177290 | + | 0.674939i | 0.00763640 | + | 0.0290717i | ||||
\(540\) | −3.37556 | −0.145261 | ||||||||
\(541\) | 0.0765109 | + | 0.235476i | 0.00328946 | + | 0.0101239i | 0.952688 | − | 0.303951i | \(-0.0983058\pi\) |
−0.949398 | + | 0.314075i | \(0.898306\pi\) | |||||||
\(542\) | 7.11642 | + | 5.17038i | 0.305676 | + | 0.222087i | ||||
\(543\) | −1.93415 | + | 1.40524i | −0.0830025 | + | 0.0603048i | ||||
\(544\) | −6.97967 | + | 21.4812i | −0.299251 | + | 0.921000i | ||||
\(545\) | 5.05716 | − | 15.5643i | 0.216625 | − | 0.666703i | ||||
\(546\) | 1.56353 | − | 1.13597i | 0.0669131 | − | 0.0486152i | ||||
\(547\) | 20.4779 | + | 14.8780i | 0.875570 | + | 0.636139i | 0.932076 | − | 0.362263i | \(-0.117996\pi\) |
−0.0565056 | + | 0.998402i | \(0.517996\pi\) | |||||||
\(548\) | 10.0380 | + | 30.8937i | 0.428801 | + | 1.31971i | ||||
\(549\) | 11.5322 | 0.492182 | ||||||||
\(550\) | 0.402144 | + | 1.53096i | 0.0171475 | + | 0.0652802i | ||||
\(551\) | 13.0796 | 0.557208 | ||||||||
\(552\) | −0.498266 | − | 1.53350i | −0.0212076 | − | 0.0652703i | ||||
\(553\) | −7.60799 | − | 5.52753i | −0.323525 | − | 0.235054i | ||||
\(554\) | 1.32338 | − | 0.961489i | 0.0562249 | − | 0.0408498i | ||||
\(555\) | 1.06253 | − | 3.27013i | 0.0451018 | − | 0.138809i | ||||
\(556\) | 12.6985 | − | 39.0819i | 0.538536 | − | 1.65744i | ||||
\(557\) | 31.2824 | − | 22.7280i | 1.32548 | − | 0.963015i | 0.325630 | − | 0.945497i | \(-0.394424\pi\) |
0.999847 | − | 0.0175177i | \(-0.00557635\pi\) | |||||||
\(558\) | 2.66796 | + | 1.93839i | 0.112944 | + | 0.0820586i | ||||
\(559\) | 10.1940 | + | 31.3740i | 0.431161 | + | 1.32698i | ||||
\(560\) | −7.21041 | −0.304695 | ||||||||
\(561\) | −1.79926 | + | 4.61907i | −0.0759648 | + | 0.195017i | ||||
\(562\) | −10.8919 | −0.459447 | ||||||||
\(563\) | 4.30653 | + | 13.2541i | 0.181498 | + | 0.558595i | 0.999870 | − | 0.0160940i | \(-0.00512309\pi\) |
−0.818372 | + | 0.574689i | \(0.805123\pi\) | |||||||
\(564\) | 2.02057 | + | 1.46803i | 0.0850815 | + | 0.0618153i | ||||
\(565\) | −1.66154 | + | 1.20718i | −0.0699013 | + | 0.0507863i | ||||
\(566\) | −4.29157 | + | 13.2081i | −0.180388 | + | 0.555178i | ||||
\(567\) | 6.69757 | − | 20.6130i | 0.281272 | − | 0.865665i | ||||
\(568\) | 1.74155 | − | 1.26531i | 0.0730739 | − | 0.0530913i | ||||
\(569\) | −22.5817 | − | 16.4065i | −0.946672 | − | 0.687798i | 0.00334520 | − | 0.999994i | \(-0.498935\pi\) |
−0.950017 | + | 0.312197i | \(0.898935\pi\) | |||||||
\(570\) | 0.206809 | + | 0.636493i | 0.00866228 | + | 0.0266598i | ||||
\(571\) | −31.4113 | −1.31452 | −0.657261 | − | 0.753663i | \(-0.728285\pi\) | ||||
−0.657261 | + | 0.753663i | \(0.728285\pi\) | |||||||
\(572\) | 27.3917 | + | 1.57091i | 1.14530 | + | 0.0656831i | ||||
\(573\) | −1.66578 | −0.0695889 | ||||||||
\(574\) | −0.875365 | − | 2.69410i | −0.0365370 | − | 0.112449i | ||||
\(575\) | −2.24278 | − | 1.62947i | −0.0935302 | − | 0.0679537i | ||||
\(576\) | −7.12237 | + | 5.17470i | −0.296765 | + | 0.215613i | ||||
\(577\) | 6.40744 | − | 19.7201i | 0.266745 | − | 0.820958i | −0.724541 | − | 0.689232i | \(-0.757948\pi\) |
0.991286 | − | 0.131726i | \(-0.0420519\pi\) | |||||||
\(578\) | 0.649343 | − | 1.99847i | 0.0270091 | − | 0.0831255i | ||||
\(579\) | 1.05392 | − | 0.765719i | 0.0437995 | − | 0.0318222i | ||||
\(580\) | 4.32051 | + | 3.13903i | 0.179399 | + | 0.130341i | ||||
\(581\) | 9.22368 | + | 28.3876i | 0.382663 | + | 1.17771i | ||||
\(582\) | 2.85777 | 0.118458 | ||||||||
\(583\) | 16.2607 | + | 13.3008i | 0.673448 | + | 0.550864i | ||||
\(584\) | −1.83941 | −0.0761153 | ||||||||
\(585\) | −4.17678 | − | 12.8548i | −0.172689 | − | 0.531481i | ||||
\(586\) | −8.19080 | − | 5.95097i | −0.338359 | − | 0.245832i | ||||
\(587\) | −12.3267 | + | 8.95591i | −0.508779 | + | 0.369650i | −0.812360 | − | 0.583156i | \(-0.801818\pi\) |
0.303581 | + | 0.952806i | \(0.401818\pi\) | |||||||
\(588\) | −0.0372268 | + | 0.114572i | −0.00153521 | + | 0.00472488i | ||||
\(589\) | −3.20067 | + | 9.85066i | −0.131881 | + | 0.405889i | ||||
\(590\) | 4.53576 | − | 3.29542i | 0.186734 | − | 0.135670i | ||||
\(591\) | −2.98421 | − | 2.16816i | −0.122754 | − | 0.0891860i | ||||
\(592\) | −8.83126 | − | 27.1798i | −0.362962 | − | 1.11708i | ||||
\(593\) | 27.5413 | 1.13098 | 0.565492 | − | 0.824754i | \(-0.308686\pi\) | ||||
0.565492 | + | 0.824754i | \(0.308686\pi\) | |||||||
\(594\) | 2.53661 | − | 1.62958i | 0.104078 | − | 0.0668624i | ||||
\(595\) | 12.4227 | 0.509281 | ||||||||
\(596\) | −8.03103 | − | 24.7170i | −0.328964 | − | 1.01245i | ||||
\(597\) | 1.87309 | + | 1.36088i | 0.0766605 | + | 0.0556971i | ||||
\(598\) | 4.99640 | − | 3.63010i | 0.204318 | − | 0.148446i | ||||
\(599\) | −8.26097 | + | 25.4247i | −0.337534 | + | 1.03882i | 0.627926 | + | 0.778273i | \(0.283904\pi\) |
−0.965460 | + | 0.260551i | \(0.916096\pi\) | |||||||
\(600\) | −0.179735 | + | 0.553168i | −0.00733765 | + | 0.0225830i | ||||
\(601\) | −1.94714 | + | 1.41468i | −0.0794255 | + | 0.0577060i | −0.626789 | − | 0.779189i | \(-0.715631\pi\) |
0.547364 | + | 0.836895i | \(0.315631\pi\) | |||||||
\(602\) | 7.32722 | + | 5.32353i | 0.298635 | + | 0.216971i | ||||
\(603\) | −6.54977 | − | 20.1581i | −0.266727 | − | 0.820902i | ||||
\(604\) | 13.3254 | 0.542202 | ||||||||
\(605\) | 8.10166 | + | 7.44064i | 0.329379 | + | 0.302505i | ||||
\(606\) | −1.09699 | −0.0445620 | ||||||||
\(607\) | 3.18067 | + | 9.78909i | 0.129099 | + | 0.397327i | 0.994626 | − | 0.103536i | \(-0.0330159\pi\) |
−0.865526 | + | 0.500864i | \(0.833016\pi\) | |||||||
\(608\) | 17.1438 | + | 12.4557i | 0.695275 | + | 0.505147i | ||||
\(609\) | 2.11492 | − | 1.53658i | 0.0857010 | − | 0.0622654i | ||||
\(610\) | 0.587364 | − | 1.80772i | 0.0237817 | − | 0.0731924i | ||||
\(611\) | −6.29216 | + | 19.3653i | −0.254553 | + | 0.783435i | ||||
\(612\) | 19.2068 | − | 13.9545i | 0.776388 | − | 0.564079i | ||||
\(613\) | −22.5519 | − | 16.3849i | −0.910861 | − | 0.661779i | 0.0303715 | − | 0.999539i | \(-0.490331\pi\) |
−0.941232 | + | 0.337759i | \(0.890331\pi\) | |||||||
\(614\) | −1.01396 | − | 3.12066i | −0.0409203 | − | 0.125940i | ||||
\(615\) | 0.714118 | 0.0287960 | ||||||||
\(616\) | 13.4897 | − | 8.66611i | 0.543515 | − | 0.349168i | ||||
\(617\) | −28.7216 | −1.15629 | −0.578143 | − | 0.815935i | \(-0.696222\pi\) | ||||
−0.578143 | + | 0.815935i | \(0.696222\pi\) | |||||||
\(618\) | 0.358703 | + | 1.10398i | 0.0144292 | + | 0.0444084i | ||||
\(619\) | −18.3621 | − | 13.3408i | −0.738035 | − | 0.536214i | 0.154060 | − | 0.988061i | \(-0.450765\pi\) |
−0.892095 | + | 0.451848i | \(0.850765\pi\) | |||||||
\(620\) | −3.42138 | + | 2.48578i | −0.137406 | + | 0.0998312i | ||||
\(621\) | −1.63169 | + | 5.02183i | −0.0654776 | + | 0.201519i | ||||
\(622\) | 3.71029 | − | 11.4191i | 0.148769 | − | 0.457864i | ||||
\(623\) | −6.01703 | + | 4.37163i | −0.241067 | + | 0.175146i | ||||
\(624\) | 3.27606 | + | 2.38020i | 0.131147 | + | 0.0952842i | ||||
\(625\) | 0.309017 | + | 0.951057i | 0.0123607 | + | 0.0380423i | ||||
\(626\) | −5.52635 | −0.220877 | ||||||||
\(627\) | 3.59989 | + | 2.94462i | 0.143766 | + | 0.117597i | ||||
\(628\) | 23.7157 | 0.946360 | ||||||||
\(629\) | 15.2152 | + | 46.8277i | 0.606671 | + | 1.86714i | ||||
\(630\) | −3.00217 | − | 2.18120i | −0.119609 | − | 0.0869012i | ||||
\(631\) | −23.0864 | + | 16.7733i | −0.919056 | + | 0.667733i | −0.943289 | − | 0.331973i | \(-0.892286\pi\) |
0.0242327 | + | 0.999706i | \(0.492286\pi\) | |||||||
\(632\) | −1.94835 | + | 5.99641i | −0.0775013 | + | 0.238524i | ||||
\(633\) | 0.347783 | − | 1.07037i | 0.0138231 | − | 0.0425432i | ||||
\(634\) | −8.00844 | + | 5.81847i | −0.318056 | + | 0.231081i | ||||
\(635\) | −0.0617011 | − | 0.0448285i | −0.00244853 | − | 0.00177896i | ||||
\(636\) | 1.12067 | + | 3.44908i | 0.0444376 | + | 0.136765i | ||||
\(637\) | −0.982140 | −0.0389138 | ||||||||
\(638\) | −4.76209 | − | 0.273106i | −0.188533 | − | 0.0108124i | ||||
\(639\) | −3.46233 | −0.136968 | ||||||||
\(640\) | 3.46577 | + | 10.6665i | 0.136997 | + | 0.421632i | ||||
\(641\) | −1.92040 | − | 1.39526i | −0.0758514 | − | 0.0551093i | 0.549213 | − | 0.835682i | \(-0.314927\pi\) |
−0.625065 | + | 0.780573i | \(0.714927\pi\) | |||||||
\(642\) | −2.24899 | + | 1.63399i | −0.0887605 | + | 0.0644883i | ||||
\(643\) | 3.51053 | − | 10.8043i | 0.138442 | − | 0.426080i | −0.857668 | − | 0.514204i | \(-0.828087\pi\) |
0.996109 | + | 0.0881244i | \(0.0280873\pi\) | |||||||
\(644\) | −4.07670 | + | 12.5468i | −0.160644 | + | 0.494413i | ||||
\(645\) | −1.84715 | + | 1.34203i | −0.0727315 | + | 0.0528425i | ||||
\(646\) | −7.75323 | − | 5.63305i | −0.305047 | − | 0.221630i | ||||
\(647\) | −14.9632 | − | 46.0520i | −0.588264 | − | 1.81049i | −0.585746 | − | 0.810495i | \(-0.699198\pi\) |
−0.00251822 | − | 0.999997i | \(-0.500802\pi\) | |||||||
\(648\) | −14.5314 | −0.570848 | ||||||||
\(649\) | 14.1415 | − | 36.3043i | 0.555104 | − | 1.42507i | ||||
\(650\) | −2.22778 | −0.0873806 | ||||||||
\(651\) | 0.639713 | + | 1.96883i | 0.0250723 | + | 0.0771647i | ||||
\(652\) | −1.10685 | − | 0.804171i | −0.0433475 | − | 0.0314938i | ||||
\(653\) | −24.0722 | + | 17.4894i | −0.942016 | + | 0.684415i | −0.948905 | − | 0.315562i | \(-0.897807\pi\) |
0.00688905 | + | 0.999976i | \(0.497807\pi\) | |||||||
\(654\) | −0.779758 | + | 2.39985i | −0.0304910 | + | 0.0938415i | ||||
\(655\) | 3.54847 | − | 10.9211i | 0.138650 | − | 0.426722i | ||||
\(656\) | 4.80186 | − | 3.48875i | 0.187481 | − | 0.136213i | ||||
\(657\) | 2.39346 | + | 1.73895i | 0.0933777 | + | 0.0678429i | ||||
\(658\) | 1.72750 | + | 5.31669i | 0.0673449 | + | 0.207266i | ||||
\(659\) | −28.4931 | −1.10993 | −0.554966 | − | 0.831873i | \(-0.687269\pi\) | ||||
−0.554966 | + | 0.831873i | \(0.687269\pi\) | |||||||
\(660\) | 0.482440 | + | 1.83664i | 0.0187789 | + | 0.0714912i | ||||
\(661\) | −1.02875 | −0.0400139 | −0.0200070 | − | 0.999800i | \(-0.506369\pi\) | ||||
−0.0200070 | + | 0.999800i | \(0.506369\pi\) | |||||||
\(662\) | −4.74027 | − | 14.5890i | −0.184236 | − | 0.567019i | ||||
\(663\) | −5.64428 | − | 4.10081i | −0.219206 | − | 0.159262i | ||||
\(664\) | 16.1902 | − | 11.7629i | 0.628301 | − | 0.456488i | ||||
\(665\) | 3.60161 | − | 11.0846i | 0.139664 | − | 0.429843i | ||||
\(666\) | 4.54506 | − | 13.9883i | 0.176118 | − | 0.542034i | ||||
\(667\) | 6.75841 | − | 4.91027i | 0.261687 | − | 0.190127i | ||||
\(668\) | −12.1616 | − | 8.83591i | −0.470546 | − | 0.341872i | ||||
\(669\) | 1.05275 | + | 3.24002i | 0.0407016 | + | 0.125267i | ||||
\(670\) | −3.49346 | −0.134964 | ||||||||
\(671\) | −3.35580 | − | 12.7755i | −0.129549 | − | 0.493192i | ||||
\(672\) | 4.23540 | 0.163384 | ||||||||
\(673\) | 4.02863 | + | 12.3988i | 0.155292 | + | 0.477940i | 0.998190 | − | 0.0601327i | \(-0.0191524\pi\) |
−0.842898 | + | 0.538073i | \(0.819152\pi\) | |||||||
\(674\) | 6.94861 | + | 5.04846i | 0.267651 | + | 0.194459i | ||||
\(675\) | 1.54094 | − | 1.11956i | 0.0593108 | − | 0.0430918i | ||||
\(676\) | −4.81316 | + | 14.8134i | −0.185122 | + | 0.569746i | ||||
\(677\) | −11.4665 | + | 35.2903i | −0.440694 | + | 1.35632i | 0.446444 | + | 0.894812i | \(0.352690\pi\) |
−0.887138 | + | 0.461505i | \(0.847310\pi\) | |||||||
\(678\) | 0.256190 | − | 0.186133i | 0.00983893 | − | 0.00714840i | ||||
\(679\) | −40.2635 | − | 29.2531i | −1.54517 | − | 1.12263i | ||||
\(680\) | −2.57378 | − | 7.92127i | −0.0986998 | − | 0.303767i | ||||
\(681\) | 0.0697890 | 0.00267432 | ||||||||
\(682\) | 1.37101 | − | 3.51966i | 0.0524986 | − | 0.134775i | ||||
\(683\) | −32.8992 | −1.25885 | −0.629426 | − | 0.777061i | \(-0.716710\pi\) | ||||
−0.629426 | + | 0.777061i | \(0.716710\pi\) | |||||||
\(684\) | −6.88299 | − | 21.1837i | −0.263178 | − | 0.809978i | ||||
\(685\) | −14.8287 | − | 10.7737i | −0.566576 | − | 0.411641i | ||||
\(686\) | 7.03941 | − | 5.11443i | 0.268766 | − | 0.195270i | ||||
\(687\) | −0.00755844 | + | 0.0232625i | −0.000288372 | + | 0.000887519i | ||||
\(688\) | −5.86420 | + | 18.0481i | −0.223570 | + | 0.688079i | ||||
\(689\) | −23.9197 | + | 17.3787i | −0.911267 | + | 0.662074i | ||||
\(690\) | 0.345811 | + | 0.251246i | 0.0131648 | + | 0.00956479i | ||||
\(691\) | 11.3409 | + | 34.9036i | 0.431427 | + | 1.32780i | 0.896704 | + | 0.442631i | \(0.145955\pi\) |
−0.465277 | + | 0.885165i | \(0.654045\pi\) | |||||||
\(692\) | −9.00061 | −0.342152 | ||||||||
\(693\) | −25.7457 | − | 1.47652i | −0.978000 | − | 0.0560883i | ||||
\(694\) | −3.84185 | −0.145835 | ||||||||
\(695\) | 7.16529 | + | 22.0525i | 0.271795 | + | 0.836498i | ||||
\(696\) | −1.41797 | − | 1.03022i | −0.0537480 | − | 0.0390502i | ||||
\(697\) | −8.27305 | + | 6.01072i | −0.313364 | + | 0.227672i | ||||
\(698\) | 2.83597 | − | 8.72823i | 0.107343 | − | 0.330368i | ||||
\(699\) | 1.50950 | − | 4.64577i | 0.0570946 | − | 0.175719i | ||||
\(700\) | 3.84996 | − | 2.79716i | 0.145515 | − | 0.105723i | ||||
\(701\) | 29.3266 | + | 21.3070i | 1.10765 | + | 0.804755i | 0.982292 | − | 0.187356i | \(-0.0599919\pi\) |
0.125359 | + | 0.992111i | \(0.459992\pi\) | |||||||
\(702\) | 1.31124 | + | 4.03558i | 0.0494895 | + | 0.152313i | ||||
\(703\) | 46.1949 | 1.74227 | ||||||||
\(704\) | 7.80516 | + | 6.38443i | 0.294168 | + | 0.240622i | ||||
\(705\) | −1.40928 | −0.0530767 | ||||||||
\(706\) | 2.19006 | + | 6.74031i | 0.0824240 | + | 0.253675i | ||||
\(707\) | 15.4556 | + | 11.2291i | 0.581267 | + | 0.422315i | ||||
\(708\) | 5.44141 | − | 3.95342i | 0.204501 | − | 0.148578i | ||||
\(709\) | −5.74811 | + | 17.6909i | −0.215875 | + | 0.664394i | 0.783216 | + | 0.621750i | \(0.213578\pi\) |
−0.999090 | + | 0.0426440i | \(0.986422\pi\) | |||||||
\(710\) | −0.176345 | + | 0.542735i | −0.00661812 | + | 0.0203685i | ||||
\(711\) | 8.20413 | − | 5.96065i | 0.307679 | − | 0.223542i | ||||
\(712\) | 4.03418 | + | 2.93100i | 0.151187 | + | 0.109844i | ||||
\(713\) | 2.04426 | + | 6.29158i | 0.0765580 | + | 0.235621i | ||||
\(714\) | −1.91544 | −0.0716836 | ||||||||
\(715\) | −13.0253 | + | 8.36775i | −0.487117 | + | 0.312936i | ||||
\(716\) | 20.0563 | 0.749540 | ||||||||
\(717\) | −2.31263 | − | 7.11754i | −0.0863667 | − | 0.265809i | ||||
\(718\) | −3.94732 | − | 2.86790i | −0.147313 | − | 0.107029i | ||||
\(719\) | 30.2799 | − | 21.9996i | 1.12925 | − | 0.820447i | 0.143664 | − | 0.989627i | \(-0.454112\pi\) |
0.985585 | + | 0.169179i | \(0.0541117\pi\) | |||||||
\(720\) | 2.40273 | − | 7.39484i | 0.0895444 | − | 0.275589i | ||||
\(721\) | 6.24687 | − | 19.2259i | 0.232645 | − | 0.716009i | ||||
\(722\) | 0.0619923 | − | 0.0450400i | 0.00230711 | − | 0.00167622i | ||||
\(723\) | 5.57630 | + | 4.05142i | 0.207385 | + | 0.150674i | ||||
\(724\) | −4.05262 | − | 12.4727i | −0.150614 | − | 0.463544i | ||||
\(725\) | −3.01341 | −0.111915 | ||||||||
\(726\) | −1.24919 | − | 1.14726i | −0.0463617 | − | 0.0425789i | ||||
\(727\) | 14.6011 | 0.541526 | 0.270763 | − | 0.962646i | \(-0.412724\pi\) | ||||
0.270763 | + | 0.962646i | \(0.412724\pi\) | |||||||
\(728\) | 6.97319 | + | 21.4613i | 0.258443 | + | 0.795407i | ||||
\(729\) | 17.4149 | + | 12.6527i | 0.644997 | + | 0.468618i | ||||
\(730\) | 0.394492 | − | 0.286615i | 0.0146008 | − | 0.0106081i | ||||
\(731\) | 10.1033 | − | 31.0949i | 0.373686 | − | 1.15009i | ||||
\(732\) | 0.704642 | − | 2.16867i | 0.0260443 | − | 0.0801562i | ||||
\(733\) | −33.8468 | + | 24.5911i | −1.25016 | + | 0.908293i | −0.998231 | − | 0.0594528i | \(-0.981064\pi\) |
−0.251927 | + | 0.967746i | \(0.581064\pi\) | |||||||
\(734\) | −5.46092 | − | 3.96759i | −0.201566 | − | 0.146447i | ||||
\(735\) | −0.0210057 | − | 0.0646489i | −0.000774807 | − | 0.00238461i | ||||
\(736\) | 13.5346 | 0.498891 | ||||||||
\(737\) | −20.4254 | + | 13.1218i | −0.752381 | + | 0.483348i | ||||
\(738\) | 3.05470 | 0.112445 | ||||||||
\(739\) | −3.68654 | − | 11.3460i | −0.135612 | − | 0.417370i | 0.860073 | − | 0.510171i | \(-0.170418\pi\) |
−0.995685 | + | 0.0928012i | \(0.970418\pi\) | |||||||
\(740\) | 15.2594 | + | 11.0866i | 0.560945 | + | 0.407550i | ||||
\(741\) | −5.29549 | + | 3.84740i | −0.194535 | + | 0.141338i | ||||
\(742\) | −2.50841 | + | 7.72008i | −0.0920865 | + | 0.283413i | ||||
\(743\) | 14.4250 | − | 44.3956i | 0.529202 | − | 1.62872i | −0.226652 | − | 0.973976i | \(-0.572778\pi\) |
0.755854 | − | 0.654740i | \(-0.227222\pi\) | |||||||
\(744\) | 1.12288 | − | 0.815820i | 0.0411668 | − | 0.0299094i | ||||
\(745\) | 11.8639 | + | 8.61964i | 0.434660 | + | 0.315799i | ||||
\(746\) | 1.83762 | + | 5.65561i | 0.0672800 | + | 0.207067i | ||||
\(747\) | −32.1873 | −1.17767 | ||||||||
\(748\) | −21.0480 | − | 17.2168i | −0.769593 | − | 0.629508i | ||||
\(749\) | 48.4124 | 1.76895 | ||||||||
\(750\) | −0.0476470 | − | 0.146642i | −0.00173982 | − | 0.00535462i | ||||
\(751\) | −11.6530 | − | 8.46642i | −0.425225 | − | 0.308944i | 0.354512 | − | 0.935052i | \(-0.384647\pi\) |
−0.779737 | + | 0.626108i | \(0.784647\pi\) | |||||||
\(752\) | −9.47628 | + | 6.88492i | −0.345564 | + | 0.251067i | ||||
\(753\) | −0.621156 | + | 1.91172i | −0.0226362 | + | 0.0696670i | ||||
\(754\) | 2.07450 | − | 6.38465i | 0.0755488 | − | 0.232515i | ||||
\(755\) | −6.08301 | + | 4.41957i | −0.221383 | + | 0.160845i | ||||
\(756\) | −7.33304 | − | 5.32776i | −0.266700 | − | 0.193769i | ||||
\(757\) | −4.96330 | − | 15.2755i | −0.180394 | − | 0.555196i | 0.819444 | − | 0.573159i | \(-0.194282\pi\) |
−0.999839 | + | 0.0179624i | \(0.994282\pi\) | |||||||
\(758\) | 7.79698 | 0.283199 | ||||||||
\(759\) | 2.96558 | + | 0.170076i | 0.107644 | + | 0.00617337i | ||||
\(760\) | −7.81423 | −0.283452 | ||||||||
\(761\) | −12.0158 | − | 36.9809i | −0.435573 | − | 1.34056i | −0.892498 | − | 0.451051i | \(-0.851049\pi\) |
0.456925 | − | 0.889505i | \(-0.348951\pi\) | |||||||
\(762\) | 0.00951362 | + | 0.00691205i | 0.000344642 | + | 0.000250397i | ||||
\(763\) | 35.5518 | − | 25.8299i | 1.28706 | − | 0.935106i | ||||
\(764\) | 2.82371 | − | 8.69049i | 0.102158 | − | 0.314411i | ||||
\(765\) | −4.13962 | + | 12.7405i | −0.149668 | + | 0.460632i | ||||
\(766\) | 0.313773 | − | 0.227969i | 0.0113371 | − | 0.00823686i | ||||
\(767\) | 44.3621 | + | 32.2309i | 1.60182 | + | 1.16379i | ||||
\(768\) | 0.0726816 | + | 0.223691i | 0.00262267 | + | 0.00807175i | ||||
\(769\) | 43.0017 | 1.55068 | 0.775341 | − | 0.631543i | \(-0.217578\pi\) | ||||
0.775341 | + | 0.631543i | \(0.217578\pi\) | |||||||
\(770\) | −1.54275 | + | 3.96055i | −0.0555967 | + | 0.142728i | ||||
\(771\) | −4.61679 | −0.166270 | ||||||||
\(772\) | 2.20828 | + | 6.79637i | 0.0794776 | + | 0.244607i | ||||
\(773\) | 6.35452 | + | 4.61683i | 0.228556 | + | 0.166056i | 0.696170 | − | 0.717877i | \(-0.254886\pi\) |
−0.467613 | + | 0.883933i | \(0.654886\pi\) | |||||||
\(774\) | −7.90135 | + | 5.74067i | −0.284008 | + | 0.206344i | ||||
\(775\) | 0.737407 | − | 2.26951i | 0.0264885 | − | 0.0815231i | ||||
\(776\) | −10.3112 | + | 31.7346i | −0.370150 | + | 1.13920i | ||||
\(777\) | 7.46957 | − | 5.42696i | 0.267969 | − | 0.194691i | ||||
\(778\) | 11.7355 | + | 8.52635i | 0.420739 | + | 0.305684i | ||||
\(779\) | 2.96475 | + | 9.12457i | 0.106223 | + | 0.326922i | ||||
\(780\) | −2.67259 | −0.0956942 | ||||||||
\(781\) | 1.00752 | + | 3.83561i | 0.0360519 | + | 0.137249i | ||||
\(782\) | −6.12096 | −0.218885 | ||||||||
\(783\) | 1.77366 | + | 5.45875i | 0.0633853 | + | 0.195080i | ||||
\(784\) | −0.457082 | − | 0.332090i | −0.0163244 | − | 0.0118603i | ||||
\(785\) | −10.8262 | + | 7.86568i | −0.386403 | + | 0.280738i | ||||
\(786\) | −0.547135 | + | 1.68391i | −0.0195157 | + | 0.0600631i | ||||
\(787\) | −3.53048 | + | 10.8657i | −0.125848 | + | 0.387321i | −0.994055 | − | 0.108882i | \(-0.965273\pi\) |
0.868206 | + | 0.496203i | \(0.165273\pi\) | |||||||
\(788\) | 16.3700 | − | 11.8935i | 0.583159 | − | 0.423690i | ||||
\(789\) | −1.07980 | − | 0.784522i | −0.0384420 | − | 0.0279297i | ||||
\(790\) | −0.516500 | − | 1.58962i | −0.0183762 | − | 0.0565562i | ||||
\(791\) | −5.51483 | −0.196085 | ||||||||
\(792\) | 4.39260 | + | 16.7226i | 0.156084 | + | 0.594210i | ||||
\(793\) | 18.5903 | 0.660161 | ||||||||
\(794\) | −2.19741 | − | 6.76294i | −0.0779832 | − | 0.240008i | ||||
\(795\) | −1.65553 | − | 1.20281i | −0.0587155 | − | 0.0426593i | ||||
\(796\) | −10.2749 | + | 7.46518i | −0.364186 | + | 0.264596i | ||||
\(797\) | −1.32414 | + | 4.07529i | −0.0469035 | + | 0.144354i | −0.971766 | − | 0.235949i | \(-0.924180\pi\) |
0.924862 | + | 0.380303i | \(0.124180\pi\) | |||||||
\(798\) | −0.555328 | + | 1.70912i | −0.0196584 | + | 0.0605023i | ||||
\(799\) | 16.3265 | − | 11.8619i | 0.577592 | − | 0.419645i | ||||
\(800\) | −3.94979 | − | 2.86969i | −0.139646 | − | 0.101459i | ||||
\(801\) | −2.47839 | − | 7.62770i | −0.0875696 | − | 0.269511i | ||||
\(802\) | 5.80787 | 0.205083 | ||||||||
\(803\) | 1.22994 | − | 3.15752i | 0.0434038 | − | 0.111427i | ||||
\(804\) | −4.19100 | −0.147805 | ||||||||
\(805\) | −2.30033 | − | 7.07969i | −0.0810760 | − | 0.249526i | ||||
\(806\) | 4.30085 | + | 3.12475i | 0.151491 | + | 0.110065i | ||||
\(807\) | 0.440132 | − | 0.319774i | 0.0154934 | − | 0.0112566i | ||||
\(808\) | 3.95806 | − | 12.1817i | 0.139244 | − | 0.428549i | ||||
\(809\) | −6.13350 | + | 18.8770i | −0.215642 | + | 0.663679i | 0.783465 | + | 0.621436i | \(0.213450\pi\) |
−0.999107 | + | 0.0422430i | \(0.986550\pi\) | |||||||
\(810\) | 3.11651 | − | 2.26427i | 0.109503 | − | 0.0795585i | ||||
\(811\) | 2.53899 | + | 1.84468i | 0.0891559 | + | 0.0647756i | 0.631470 | − | 0.775400i | \(-0.282452\pi\) |
−0.542314 | + | 0.840176i | \(0.682452\pi\) | |||||||
\(812\) | 4.43138 | + | 13.6384i | 0.155511 | + | 0.478614i | ||||
\(813\) | −5.95452 | −0.208834 | ||||||||
\(814\) | −16.8189 | − | 0.964566i | −0.589504 | − | 0.0338080i | ||||
\(815\) | 0.771990 | 0.0270416 | ||||||||
\(816\) | −1.24021 | − | 3.81698i | −0.0434162 | − | 0.133621i | ||||
\(817\) | −24.8164 | − | 18.0301i | −0.868215 | − | 0.630795i | ||||
\(818\) | 0.101203 | − | 0.0735281i | 0.00353847 | − | 0.00257085i | ||||
\(819\) | 11.2156 | − | 34.5180i | 0.391904 | − | 1.20616i | ||||
\(820\) | −1.21052 | + | 3.72560i | −0.0422733 | + | 0.130104i | ||||
\(821\) | −19.0118 | + | 13.8129i | −0.663516 | + | 0.482073i | −0.867849 | − | 0.496829i | \(-0.834498\pi\) |
0.204332 | + | 0.978902i | \(0.434498\pi\) | |||||||
\(822\) | 2.28642 | + | 1.66118i | 0.0797481 | + | 0.0579404i | ||||
\(823\) | −3.91103 | − | 12.0369i | −0.136330 | − | 0.419580i | 0.859465 | − | 0.511195i | \(-0.170797\pi\) |
−0.995795 | + | 0.0916150i | \(0.970797\pi\) | |||||||
\(824\) | −13.5535 | −0.472159 | ||||||||
\(825\) | −0.829384 | − | 0.678415i | −0.0288754 | − | 0.0236194i | ||||
\(826\) | 15.0547 | 0.523820 | ||||||||
\(827\) | 9.33959 | + | 28.7443i | 0.324770 | + | 0.999538i | 0.971545 | + | 0.236857i | \(0.0761173\pi\) |
−0.646775 | + | 0.762681i | \(0.723883\pi\) | |||||||
\(828\) | −11.5092 | − | 8.36195i | −0.399974 | − | 0.290598i | ||||
\(829\) | −1.61937 | + | 1.17654i | −0.0562432 | + | 0.0408630i | −0.615552 | − | 0.788097i | \(-0.711067\pi\) |
0.559308 | + | 0.828960i | \(0.311067\pi\) | |||||||
\(830\) | −1.63938 | + | 5.04549i | −0.0569037 | + | 0.175132i | ||||
\(831\) | −0.342177 | + | 1.05311i | −0.0118700 | + | 0.0365321i | ||||
\(832\) | −11.4815 | + | 8.34180i | −0.398050 | + | 0.289200i | ||||
\(833\) | 0.787500 | + | 0.572152i | 0.0272852 | + | 0.0198239i | ||||
\(834\) | −1.10481 | − | 3.40025i | −0.0382564 | − | 0.117741i | ||||
\(835\) | 8.48232 | 0.293543 | ||||||||
\(836\) | −21.4646 | + | 13.7894i | −0.742368 | + | 0.476915i | ||||
\(837\) | −4.54520 | −0.157105 | ||||||||
\(838\) | −0.187177 | − | 0.576072i | −0.00646592 | − | 0.0199001i | ||||
\(839\) | −28.6185 | − | 20.7925i | −0.988019 | − | 0.717838i | −0.0285326 | − | 0.999593i | \(-0.509083\pi\) |
−0.959486 | + | 0.281755i | \(0.909083\pi\) | |||||||
\(840\) | −1.26354 | + | 0.918013i | −0.0435962 | + | 0.0316745i | ||||
\(841\) | −6.15541 | + | 18.9444i | −0.212256 | + | 0.653255i | ||||
\(842\) | −4.37511 | + | 13.4652i | −0.150776 | + | 0.464041i | ||||
\(843\) | 5.96492 | − | 4.33377i | 0.205443 | − | 0.149263i | ||||
\(844\) | 4.99463 | + | 3.62881i | 0.171922 | + | 0.124909i | ||||
\(845\) | −2.71589 | − | 8.35865i | −0.0934295 | − | 0.287546i | ||||
\(846\) | −6.02834 | −0.207259 | ||||||||
\(847\) | 5.85616 | + | 28.9511i | 0.201220 | + | 0.994771i | ||||
\(848\) | −17.0083 | −0.584067 | ||||||||
\(849\) | −2.90509 | − | 8.94095i | −0.0997024 | − | 0.306853i | ||||
\(850\) | 1.78628 | + | 1.29781i | 0.0612688 | + | 0.0445144i | ||||
\(851\) | 23.8696 | − | 17.3423i | 0.818241 | − | 0.594487i | ||||
\(852\) | −0.211556 | + | 0.651102i | −0.00724779 | + | 0.0223064i | ||||
\(853\) | −5.62515 | + | 17.3124i | −0.192602 | + | 0.592767i | 0.807395 | + | 0.590012i | \(0.200877\pi\) |
−0.999996 | + | 0.00275489i | \(0.999123\pi\) | |||||||
\(854\) | 4.12917 | − | 3.00001i | 0.141297 | − | 0.102658i | ||||
\(855\) | 10.1680 | + | 7.38746i | 0.347737 | + | 0.252646i | ||||
\(856\) | −10.0302 | − | 30.8699i | −0.342827 | − | 1.05511i | ||||
\(857\) | −29.2837 | −1.00031 | −0.500156 | − | 0.865935i | \(-0.666724\pi\) | ||||
−0.500156 | + | 0.865935i | \(0.666724\pi\) | |||||||
\(858\) | 2.00835 | − | 1.29021i | 0.0685640 | − | 0.0440472i | ||||
\(859\) | 8.44030 | 0.287979 | 0.143990 | − | 0.989579i | \(-0.454007\pi\) | ||||
0.143990 | + | 0.989579i | \(0.454007\pi\) | |||||||
\(860\) | −3.87032 | − | 11.9116i | −0.131977 | − | 0.406183i | ||||
\(861\) | 1.55134 | + | 1.12712i | 0.0528696 | + | 0.0384120i | ||||
\(862\) | −12.1065 | + | 8.79587i | −0.412348 | + | 0.299589i | ||||
\(863\) | −5.97907 | + | 18.4017i | −0.203530 | + | 0.626400i | 0.796241 | + | 0.604980i | \(0.206819\pi\) |
−0.999771 | + | 0.0214204i | \(0.993181\pi\) | |||||||
\(864\) | −2.87360 | + | 8.84404i | −0.0977620 | + | 0.300880i | ||||
\(865\) | 4.10876 | − | 2.98519i | 0.139702 | − | 0.101500i | ||||
\(866\) | 10.0515 | + | 7.30281i | 0.341562 | + | 0.248160i | ||||
\(867\) | 0.439559 | + | 1.35282i | 0.0149282 | + | 0.0459443i | ||||
\(868\) | −11.3559 | −0.385446 | ||||||||
\(869\) | −8.99063 | − | 7.35411i | −0.304986 | − | 0.249471i | ||||
\(870\) | 0.464635 | 0.0157526 | ||||||||
\(871\) | −10.5585 | − | 32.4956i | −0.357760 | − | 1.10107i | ||||
\(872\) | −23.8361 | − | 17.3179i | −0.807191 | − | 0.586458i | ||||
\(873\) | 43.4184 | − | 31.5453i | 1.46949 | − | 1.06765i | ||||
\(874\) | −1.77460 | + | 5.46165i | −0.0600266 | + | 0.184743i | ||||
\(875\) | −0.829779 | + | 2.55380i | −0.0280516 | + | 0.0863341i | ||||
\(876\) | 0.473260 | − | 0.343844i | 0.0159900 | − | 0.0116174i | ||||
\(877\) | −14.1691 | − | 10.2945i | −0.478456 | − | 0.347619i | 0.322271 | − | 0.946647i | \(-0.395554\pi\) |
−0.800728 | + | 0.599028i | \(0.795554\pi\) | |||||||
\(878\) | 2.12655 | + | 6.54484i | 0.0717675 | + | 0.220878i | ||||
\(879\) | 6.85349 | 0.231163 | ||||||||
\(880\) | −8.89126 | − | 0.509914i | −0.299724 | − | 0.0171892i | ||||
\(881\) | −20.0575 | −0.675754 | −0.337877 | − | 0.941190i | \(-0.609709\pi\) | ||||
−0.337877 | + | 0.941190i | \(0.609709\pi\) | |||||||
\(882\) | −0.0898538 | − | 0.276542i | −0.00302553 | − | 0.00931164i | ||||
\(883\) | −21.7609 | − | 15.8102i | −0.732313 | − | 0.532057i | 0.157981 | − | 0.987442i | \(-0.449501\pi\) |
−0.890294 | + | 0.455386i | \(0.849501\pi\) | |||||||
\(884\) | 30.9620 | − | 22.4952i | 1.04136 | − | 0.756595i | ||||
\(885\) | −1.17278 | + | 3.60946i | −0.0394227 | + | 0.121331i | ||||
\(886\) | −0.0487585 | + | 0.150063i | −0.00163807 | + | 0.00504148i | ||||
\(887\) | −5.50591 | + | 4.00028i | −0.184870 | + | 0.134316i | −0.676371 | − | 0.736561i | \(-0.736448\pi\) |
0.491501 | + | 0.870877i | \(0.336448\pi\) | |||||||
\(888\) | −5.00805 | − | 3.63856i | −0.168059 | − | 0.122102i | ||||
\(889\) | −0.0632845 | − | 0.194770i | −0.00212249 | − | 0.00653237i | ||||
\(890\) | −1.32190 | −0.0443103 | ||||||||
\(891\) | 9.71661 | − | 24.9446i | 0.325519 | − | 0.835674i | ||||
\(892\) | −18.6880 | −0.625720 | ||||||||
\(893\) | −5.85082 | − | 18.0070i | −0.195790 | − | 0.602581i | ||||
\(894\) | −1.82928 | − | 1.32905i | −0.0611804 | − | 0.0444502i | ||||
\(895\) | −9.15568 | + | 6.65199i | −0.306041 | + | 0.222352i | ||||
\(896\) | −9.30635 | + | 28.6420i | −0.310903 | + | 0.956862i | ||||
\(897\) | −1.29189 | + | 3.97603i | −0.0431349 | + | 0.132756i | ||||
\(898\) | −3.28514 | + | 2.38680i | −0.109627 | + | 0.0796484i | ||||
\(899\) | 5.81757 | + | 4.22671i | 0.194027 | + | 0.140969i | ||||
\(900\) | 1.58578 | + | 4.88053i | 0.0528593 | + | 0.162684i | ||||
\(901\) | 29.3033 | 0.976235 | ||||||||
\(902\) | −0.888901 | − | 3.38403i | −0.0295972 | − | 0.112676i | ||||
\(903\) | −6.13090 | −0.204024 | ||||||||
\(904\) | 1.14258 | + | 3.51650i | 0.0380017 | + | 0.116957i | ||||
\(905\) | 5.98677 | + | 4.34965i | 0.199007 | + | 0.144587i | ||||
\(906\) | 0.937933 | − | 0.681448i | 0.0311607 | − | 0.0226396i | ||||
\(907\) | −6.59174 | + | 20.2873i | −0.218875 | + | 0.673629i | 0.779981 | + | 0.625804i | \(0.215229\pi\) |
−0.998856 | + | 0.0478248i | \(0.984771\pi\) | |||||||
\(908\) | −0.118301 | + | 0.364094i | −0.00392597 | + | 0.0120829i | ||||
\(909\) | −16.6666 | + | 12.1090i | −0.552797 | + | 0.401631i | ||||
\(910\) | −4.83960 | − | 3.51617i | −0.160431 | − | 0.116560i | ||||
\(911\) | −8.52542 | − | 26.2385i | −0.282460 | − | 0.869322i | −0.987149 | − | 0.159805i | \(-0.948913\pi\) |
0.704689 | − | 0.709516i | \(-0.251087\pi\) | |||||||
\(912\) | −3.76541 | −0.124685 | ||||||||
\(913\) | 9.36631 | + | 35.6574i | 0.309980 | + | 1.18009i | ||||
\(914\) | 0.543347 | 0.0179723 | ||||||||
\(915\) | 0.397604 | + | 1.22370i | 0.0131444 | + | 0.0404542i | ||||
\(916\) | −0.108549 | − | 0.0788658i | −0.00358657 | − | 0.00260580i | ||||
\(917\) | 24.9458 | − | 18.1242i | 0.823782 | − | 0.598512i | ||||
\(918\) | 1.29958 | − | 3.99968i | 0.0428924 | − | 0.132009i | ||||
\(919\) | −1.85685 | + | 5.71479i | −0.0612518 | + | 0.188514i | −0.977000 | − | 0.213239i | \(-0.931599\pi\) |
0.915748 | + | 0.401752i | \(0.131599\pi\) | |||||||
\(920\) | −4.03774 | + | 2.93359i | −0.133120 | + | 0.0967176i | ||||
\(921\) | 1.79697 | + | 1.30558i | 0.0592122 | + | 0.0430202i | ||||
\(922\) | 2.13955 | + | 6.58486i | 0.0704624 | + | 0.216861i | ||||
\(923\) | −5.58140 | −0.183714 | ||||||||
\(924\) | −1.85078 | + | 4.75135i | −0.0608863 | + | 0.156308i | ||||
\(925\) | −10.6429 | −0.349937 | ||||||||
\(926\) | −0.722274 | − | 2.22293i | −0.0237354 | − | 0.0730501i | ||||
\(927\) | 17.6360 | + | 12.8133i | 0.579242 | + | 0.420844i | ||||
\(928\) | 11.9024 | − | 8.64757i | 0.390714 | − | 0.283870i | ||||
\(929\) | 2.96576 | − | 9.12766i | 0.0973034 | − | 0.299469i | −0.890544 | − | 0.454898i | \(-0.849676\pi\) |
0.987847 | + | 0.155429i | \(0.0496759\pi\) | |||||||
\(930\) | −0.113700 | + | 0.349933i | −0.00372837 | + | 0.0114747i | ||||
\(931\) | 0.738836 | − | 0.536796i | 0.0242144 | − | 0.0175928i | ||||
\(932\) | 21.6785 | + | 15.7504i | 0.710103 | + | 0.515920i | ||||
\(933\) | 2.51160 | + | 7.72992i | 0.0822261 | + | 0.253066i | ||||
\(934\) | 15.4742 | 0.506332 | ||||||||
\(935\) | 15.3186 | + | 0.878523i | 0.500972 | + | 0.0287308i | ||||
\(936\) | −24.3339 | −0.795378 | ||||||||
\(937\) | −11.9255 | − | 36.7029i | −0.389589 | − | 1.19903i | −0.933096 | − | 0.359628i | \(-0.882904\pi\) |
0.543507 | − | 0.839405i | \(-0.317096\pi\) | |||||||
\(938\) | −7.58916 | − | 5.51385i | −0.247795 | − | 0.180034i | ||||
\(939\) | 3.02649 | − | 2.19887i | 0.0987658 | − | 0.0717575i | ||||
\(940\) | 2.38892 | − | 7.35233i | 0.0779179 | − | 0.239807i | ||||
\(941\) | −9.01854 | + | 27.7562i | −0.293996 | + | 0.904826i | 0.689561 | + | 0.724228i | \(0.257804\pi\) |
−0.983557 | + | 0.180599i | \(0.942196\pi\) | |||||||
\(942\) | 1.66928 | − | 1.21280i | 0.0543880 | − | 0.0395152i | ||||
\(943\) | 4.95744 | + | 3.60179i | 0.161437 | + | 0.117291i | ||||
\(944\) | 9.74764 | + | 30.0002i | 0.317259 | + | 0.976422i | ||||
\(945\) | 5.11455 | 0.166376 | ||||||||
\(946\) | 8.65882 | + | 7.08270i | 0.281523 | + | 0.230279i | ||||
\(947\) | 46.7623 | 1.51957 | 0.759785 | − | 0.650174i | \(-0.225304\pi\) | ||||
0.759785 | + | 0.650174i | \(0.225304\pi\) | |||||||
\(948\) | −0.619629 | − | 1.90702i | −0.0201246 | − | 0.0619371i | ||||
\(949\) | 3.85834 | + | 2.80325i | 0.125247 | + | 0.0909972i | ||||
\(950\) | 1.67589 | − | 1.21761i | 0.0543732 | − | 0.0395044i | ||||
\(951\) | 2.07069 | − | 6.37293i | 0.0671468 | − | 0.206657i | ||||
\(952\) | 6.91116 | − | 21.2704i | 0.223992 | − | 0.689376i | ||||
\(953\) | 4.97738 | − | 3.61628i | 0.161233 | − | 0.117143i | −0.504243 | − | 0.863562i | \(-0.668228\pi\) |
0.665476 | + | 0.746419i | \(0.268228\pi\) | |||||||
\(954\) | −7.08167 | − | 5.14514i | −0.229278 | − | 0.166580i | ||||
\(955\) | 1.59332 | + | 4.90372i | 0.0515585 | + | 0.158681i | ||||
\(956\) | 41.0529 | 1.32774 | ||||||||
\(957\) | 2.71661 | − | 1.74522i | 0.0878155 | − | 0.0564148i | ||||
\(958\) | 8.46440 | 0.273472 | ||||||||
\(959\) | −15.2093 | − | 46.8093i | −0.491132 | − | 1.51155i | ||||
\(960\) | −0.794658 | − | 0.577353i | −0.0256475 | − | 0.0186340i | ||||
\(961\) | 20.4726 | − | 14.8742i | 0.660408 | − | 0.479814i | ||||
\(962\) | 7.32680 | − | 22.5496i | 0.236226 | − | 0.727027i | ||||
\(963\) | −16.1325 | + | 49.6507i | −0.519862 | + | 1.59997i | ||||
\(964\) | −30.5891 | + | 22.2243i | −0.985209 | + | 0.715796i | ||||
\(965\) | −3.26220 | − | 2.37013i | −0.105014 | − | 0.0762970i | ||||
\(966\) | 0.354686 | + | 1.09161i | 0.0114118 | + | 0.0351220i | ||||
\(967\) | 3.39625 | 0.109216 | 0.0546080 | − | 0.998508i | \(-0.482609\pi\) | ||||
0.0546080 | + | 0.998508i | \(0.482609\pi\) | |||||||
\(968\) | 17.2472 | − | 9.73233i | 0.554346 | − | 0.312809i | ||||
\(969\) | 6.48736 | 0.208404 | ||||||||
\(970\) | −2.73345 | − | 8.41270i | −0.0877658 | − | 0.270115i | ||||
\(971\) | 7.60072 | + | 5.52224i | 0.243919 | + | 0.177217i | 0.703027 | − | 0.711163i | \(-0.251831\pi\) |
−0.459109 | + | 0.888380i | \(0.651831\pi\) | |||||||
\(972\) | 11.9314 | − | 8.66870i | 0.382701 | − | 0.278049i | ||||
\(973\) | −19.2404 | + | 59.2158i | −0.616818 | + | 1.89837i | ||||
\(974\) | −2.72255 | + | 8.37914i | −0.0872360 | + | 0.268485i | ||||
\(975\) | 1.22004 | − | 0.886408i | 0.0390724 | − | 0.0283878i | ||||
\(976\) | 8.65182 | + | 6.28591i | 0.276938 | + | 0.201207i | ||||
\(977\) | −5.11585 | − | 15.7450i | −0.163671 | − | 0.503726i | 0.835265 | − | 0.549847i | \(-0.185314\pi\) |
−0.998936 | + | 0.0461210i | \(0.985314\pi\) | |||||||
\(978\) | −0.119032 | −0.00380623 | ||||||||
\(979\) | −7.72885 | + | 4.96520i | −0.247015 | + | 0.158689i | ||||
\(980\) | 0.372885 | 0.0119114 | ||||||||
\(981\) | 14.6436 | + | 45.0685i | 0.467535 | + | 1.43893i | ||||
\(982\) | 4.41474 | + | 3.20750i | 0.140880 | + | 0.102355i | ||||
\(983\) | −41.1126 | + | 29.8701i | −1.31129 | + | 0.952707i | −0.311291 | + | 0.950315i | \(0.600762\pi\) |
−0.999997 | + | 0.00239240i | \(0.999238\pi\) | |||||||
\(984\) | 0.397287 | − | 1.22272i | 0.0126651 | − | 0.0389790i | ||||
\(985\) | −3.52822 | + | 10.8588i | −0.112419 | + | 0.345989i | ||||
\(986\) | −5.38279 | + | 3.91083i | −0.171423 | + | 0.124546i | ||||
\(987\) | −3.06151 | − | 2.22432i | −0.0974490 | − | 0.0708009i | ||||
\(988\) | −11.0956 | − | 34.1488i | −0.352999 | − | 1.08642i | ||||
\(989\) | −19.5918 | −0.622983 | ||||||||
\(990\) | −3.54776 | − | 2.90198i | −0.112755 | − | 0.0922311i | ||||
\(991\) | 11.3642 | 0.360996 | 0.180498 | − | 0.983575i | \(-0.442229\pi\) | ||||
0.180498 | + | 0.983575i | \(0.442229\pi\) | |||||||
\(992\) | 3.60018 | + | 11.0802i | 0.114306 | + | 0.351797i | ||||
\(993\) | 8.40081 | + | 6.10355i | 0.266592 | + | 0.193690i | ||||
\(994\) | −1.23971 | + | 0.900700i | −0.0393211 | + | 0.0285685i | ||||
\(995\) | 2.21455 | − | 6.81569i | 0.0702060 | − | 0.216072i | ||||
\(996\) | −1.96671 | + | 6.05292i | −0.0623177 | + | 0.191794i | ||||
\(997\) | 23.5945 | − | 17.1424i | 0.747246 | − | 0.542906i | −0.147726 | − | 0.989028i | \(-0.547195\pi\) |
0.894972 | + | 0.446122i | \(0.147195\pi\) | |||||||
\(998\) | −4.20149 | − | 3.05256i | −0.132996 | − | 0.0966271i | ||||
\(999\) | 6.26427 | + | 19.2794i | 0.198193 | + | 0.609975i |
(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 | 55.2.g.b.16.2 | ✓ | 8 | |
3.2 | odd | 2 | 495.2.n.e.181.1 | 8 | |||
4.3 | odd | 2 | 880.2.bo.h.401.1 | 8 | |||
5.2 | odd | 4 | 275.2.z.a.49.2 | 16 | |||
5.3 | odd | 4 | 275.2.z.a.49.3 | 16 | |||
5.4 | even | 2 | 275.2.h.a.126.1 | 8 | |||
11.2 | odd | 10 | 605.2.g.k.251.1 | 8 | |||
11.3 | even | 5 | 605.2.a.j.1.3 | 4 | |||
11.4 | even | 5 | 605.2.g.m.366.1 | 8 | |||
11.5 | even | 5 | 605.2.g.m.81.1 | 8 | |||
11.6 | odd | 10 | 605.2.g.e.81.2 | 8 | |||
11.7 | odd | 10 | 605.2.g.e.366.2 | 8 | |||
11.8 | odd | 10 | 605.2.a.k.1.2 | 4 | |||
11.9 | even | 5 | inner | 55.2.g.b.31.2 | yes | 8 | |
11.10 | odd | 2 | 605.2.g.k.511.1 | 8 | |||
33.8 | even | 10 | 5445.2.a.bi.1.3 | 4 | |||
33.14 | odd | 10 | 5445.2.a.bp.1.2 | 4 | |||
33.20 | odd | 10 | 495.2.n.e.361.1 | 8 | |||
44.3 | odd | 10 | 9680.2.a.cn.1.3 | 4 | |||
44.19 | even | 10 | 9680.2.a.cm.1.3 | 4 | |||
44.31 | odd | 10 | 880.2.bo.h.801.1 | 8 | |||
55.9 | even | 10 | 275.2.h.a.251.1 | 8 | |||
55.14 | even | 10 | 3025.2.a.bd.1.2 | 4 | |||
55.19 | odd | 10 | 3025.2.a.w.1.3 | 4 | |||
55.42 | odd | 20 | 275.2.z.a.174.3 | 16 | |||
55.53 | odd | 20 | 275.2.z.a.174.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
55.2.g.b.16.2 | ✓ | 8 | 1.1 | even | 1 | trivial | |
55.2.g.b.31.2 | yes | 8 | 11.9 | even | 5 | inner | |
275.2.h.a.126.1 | 8 | 5.4 | even | 2 | |||
275.2.h.a.251.1 | 8 | 55.9 | even | 10 | |||
275.2.z.a.49.2 | 16 | 5.2 | odd | 4 | |||
275.2.z.a.49.3 | 16 | 5.3 | odd | 4 | |||
275.2.z.a.174.2 | 16 | 55.53 | odd | 20 | |||
275.2.z.a.174.3 | 16 | 55.42 | odd | 20 | |||
495.2.n.e.181.1 | 8 | 3.2 | odd | 2 | |||
495.2.n.e.361.1 | 8 | 33.20 | odd | 10 | |||
605.2.a.j.1.3 | 4 | 11.3 | even | 5 | |||
605.2.a.k.1.2 | 4 | 11.8 | odd | 10 | |||
605.2.g.e.81.2 | 8 | 11.6 | odd | 10 | |||
605.2.g.e.366.2 | 8 | 11.7 | odd | 10 | |||
605.2.g.k.251.1 | 8 | 11.2 | odd | 10 | |||
605.2.g.k.511.1 | 8 | 11.10 | odd | 2 | |||
605.2.g.m.81.1 | 8 | 11.5 | even | 5 | |||
605.2.g.m.366.1 | 8 | 11.4 | even | 5 | |||
880.2.bo.h.401.1 | 8 | 4.3 | odd | 2 | |||
880.2.bo.h.801.1 | 8 | 44.31 | odd | 10 | |||
3025.2.a.w.1.3 | 4 | 55.19 | odd | 10 | |||
3025.2.a.bd.1.2 | 4 | 55.14 | even | 10 | |||
5445.2.a.bi.1.3 | 4 | 33.8 | even | 10 | |||
5445.2.a.bp.1.2 | 4 | 33.14 | odd | 10 | |||
9680.2.a.cm.1.3 | 4 | 44.19 | even | 10 | |||
9680.2.a.cn.1.3 | 4 | 44.3 | odd | 10 |