Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(71,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 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("770.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.n (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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} + 11 x^{10} - 21 x^{9} + 61 x^{8} - 34 x^{7} + 141 x^{6} + 192 x^{5} + 289 x^{4} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 141.2 | ||
Root | \(-1.00857 + 0.732772i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 770.141 |
Dual form | 770.2.n.i.71.2 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | − | 0.951057i | 0.218508 | − | 0.672499i | ||||
\(3\) | 0.338879 | − | 0.246210i | 0.195652 | − | 0.142149i | −0.485646 | − | 0.874155i | \(-0.661416\pi\) |
0.681298 | + | 0.732006i | \(0.261416\pi\) | |||||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | 0.309017 | + | 0.951057i | 0.138197 | + | 0.425325i | ||||
\(6\) | −0.129440 | − | 0.398376i | −0.0528437 | − | 0.162636i | ||||
\(7\) | −0.809017 | − | 0.587785i | −0.305780 | − | 0.222162i | ||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | −0.872831 | + | 2.68630i | −0.290944 | + | 0.895433i | ||||
\(10\) | 1.00000 | 0.316228 | ||||||||
\(11\) | −1.19466 | + | 3.09399i | −0.360203 | + | 0.932874i | ||||
\(12\) | −0.418877 | −0.120919 | ||||||||
\(13\) | −1.63801 | + | 5.04129i | −0.454303 | + | 1.39820i | 0.417648 | + | 0.908609i | \(0.362855\pi\) |
−0.871951 | + | 0.489593i | \(0.837145\pi\) | |||||||
\(14\) | −0.809017 | + | 0.587785i | −0.216219 | + | 0.157092i | ||||
\(15\) | 0.338879 | + | 0.246210i | 0.0874981 | + | 0.0635711i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 0.456166 | + | 1.40393i | 0.110637 | + | 0.340504i | 0.991012 | − | 0.133773i | \(-0.0427094\pi\) |
−0.880375 | + | 0.474277i | \(0.842709\pi\) | |||||||
\(18\) | 2.28510 | + | 1.66022i | 0.538604 | + | 0.391319i | ||||
\(19\) | −0.770581 | + | 0.559860i | −0.176783 | + | 0.128441i | −0.672658 | − | 0.739953i | \(-0.734848\pi\) |
0.495875 | + | 0.868394i | \(0.334848\pi\) | |||||||
\(20\) | 0.309017 | − | 0.951057i | 0.0690983 | − | 0.212663i | ||||
\(21\) | −0.418877 | −0.0914065 | ||||||||
\(22\) | 2.57339 | + | 2.09228i | 0.548649 | + | 0.446076i | ||||
\(23\) | 2.37872 | 0.495997 | 0.247999 | − | 0.968760i | \(-0.420227\pi\) | ||||
0.247999 | + | 0.968760i | \(0.420227\pi\) | |||||||
\(24\) | −0.129440 | + | 0.398376i | −0.0264219 | + | 0.0813181i | ||||
\(25\) | −0.809017 | + | 0.587785i | −0.161803 | + | 0.117557i | ||||
\(26\) | 4.28838 | + | 3.11569i | 0.841020 | + | 0.611037i | ||||
\(27\) | 0.753930 | + | 2.32036i | 0.145094 | + | 0.446553i | ||||
\(28\) | 0.309017 | + | 0.951057i | 0.0583987 | + | 0.179733i | ||||
\(29\) | −4.83605 | − | 3.51359i | −0.898031 | − | 0.652458i | 0.0399282 | − | 0.999203i | \(-0.487287\pi\) |
−0.937960 | + | 0.346745i | \(0.887287\pi\) | |||||||
\(30\) | 0.338879 | − | 0.246210i | 0.0618705 | − | 0.0449516i | ||||
\(31\) | 0.724120 | − | 2.22861i | 0.130056 | − | 0.400271i | −0.864733 | − | 0.502233i | \(-0.832512\pi\) |
0.994788 | + | 0.101962i | \(0.0325121\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0.356927 | + | 1.34263i | 0.0621330 | + | 0.233721i | ||||
\(34\) | 1.47618 | 0.253163 | ||||||||
\(35\) | 0.309017 | − | 0.951057i | 0.0522334 | − | 0.160758i | ||||
\(36\) | 2.28510 | − | 1.66022i | 0.380850 | − | 0.276704i | ||||
\(37\) | −0.0181241 | − | 0.0131679i | −0.00297958 | − | 0.00216479i | 0.586294 | − | 0.810098i | \(-0.300586\pi\) |
−0.589274 | + | 0.807933i | \(0.700586\pi\) | |||||||
\(38\) | 0.294336 | + | 0.905872i | 0.0477476 | + | 0.146952i | ||||
\(39\) | 0.686127 | + | 2.11168i | 0.109868 | + | 0.338140i | ||||
\(40\) | −0.809017 | − | 0.587785i | −0.127917 | − | 0.0929370i | ||||
\(41\) | 1.23930 | − | 0.900404i | 0.193546 | − | 0.140620i | −0.486792 | − | 0.873518i | \(-0.661833\pi\) |
0.680338 | + | 0.732898i | \(0.261833\pi\) | |||||||
\(42\) | −0.129440 | + | 0.398376i | −0.0199731 | + | 0.0614707i | ||||
\(43\) | 3.83101 | 0.584223 | 0.292112 | − | 0.956384i | \(-0.405642\pi\) | ||||
0.292112 | + | 0.956384i | \(0.405642\pi\) | |||||||
\(44\) | 2.78510 | − | 1.80089i | 0.419870 | − | 0.271494i | ||||
\(45\) | −2.82454 | −0.421058 | ||||||||
\(46\) | 0.735065 | − | 2.26230i | 0.108379 | − | 0.333557i | ||||
\(47\) | 1.21711 | − | 0.884279i | 0.177533 | − | 0.128985i | −0.495470 | − | 0.868625i | \(-0.665004\pi\) |
0.673003 | + | 0.739640i | \(0.265004\pi\) | |||||||
\(48\) | 0.338879 | + | 0.246210i | 0.0489129 | + | 0.0355373i | ||||
\(49\) | 0.309017 | + | 0.951057i | 0.0441453 | + | 0.135865i | ||||
\(50\) | 0.309017 | + | 0.951057i | 0.0437016 | + | 0.134500i | ||||
\(51\) | 0.500248 | + | 0.363451i | 0.0700487 | + | 0.0508933i | ||||
\(52\) | 4.28838 | − | 3.11569i | 0.594691 | − | 0.432068i | ||||
\(53\) | −3.50695 | + | 10.7933i | −0.481717 | + | 1.48257i | 0.354964 | + | 0.934880i | \(0.384493\pi\) |
−0.836680 | + | 0.547692i | \(0.815507\pi\) | |||||||
\(54\) | 2.43977 | 0.332010 | ||||||||
\(55\) | −3.31173 | − | 0.180091i | −0.446554 | − | 0.0242835i | ||||
\(56\) | 1.00000 | 0.133631 | ||||||||
\(57\) | −0.123291 | + | 0.379449i | −0.0163302 | + | 0.0502593i | ||||
\(58\) | −4.83605 | + | 3.51359i | −0.635004 | + | 0.461357i | ||||
\(59\) | −0.622026 | − | 0.451928i | −0.0809809 | − | 0.0588361i | 0.546558 | − | 0.837421i | \(-0.315938\pi\) |
−0.627539 | + | 0.778585i | \(0.715938\pi\) | |||||||
\(60\) | −0.129440 | − | 0.398376i | −0.0167107 | − | 0.0514301i | ||||
\(61\) | 2.49071 | + | 7.66562i | 0.318903 | + | 0.981483i | 0.974118 | + | 0.226040i | \(0.0725781\pi\) |
−0.655215 | + | 0.755443i | \(0.727422\pi\) | |||||||
\(62\) | −1.89577 | − | 1.37736i | −0.240763 | − | 0.174925i | ||||
\(63\) | 2.28510 | − | 1.66022i | 0.287896 | − | 0.209169i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −5.30073 | −0.657474 | ||||||||
\(66\) | 1.38721 | + | 0.0754362i | 0.170754 | + | 0.00928556i | ||||
\(67\) | 12.1841 | 1.48852 | 0.744260 | − | 0.667890i | \(-0.232802\pi\) | ||||
0.744260 | + | 0.667890i | \(0.232802\pi\) | |||||||
\(68\) | 0.456166 | − | 1.40393i | 0.0553183 | − | 0.170252i | ||||
\(69\) | 0.806097 | − | 0.585664i | 0.0970427 | − | 0.0705057i | ||||
\(70\) | −0.809017 | − | 0.587785i | −0.0966960 | − | 0.0702538i | ||||
\(71\) | −3.68805 | − | 11.3507i | −0.437691 | − | 1.34708i | −0.890303 | − | 0.455368i | \(-0.849508\pi\) |
0.452612 | − | 0.891707i | \(-0.350492\pi\) | |||||||
\(72\) | −0.872831 | − | 2.68630i | −0.102864 | − | 0.316583i | ||||
\(73\) | −5.89369 | − | 4.28201i | −0.689804 | − | 0.501172i | 0.186792 | − | 0.982400i | \(-0.440191\pi\) |
−0.876596 | + | 0.481228i | \(0.840191\pi\) | |||||||
\(74\) | −0.0181241 | + | 0.0131679i | −0.00210688 | + | 0.00153074i | ||||
\(75\) | −0.129440 | + | 0.398376i | −0.0149465 | + | 0.0460005i | ||||
\(76\) | 0.952490 | 0.109258 | ||||||||
\(77\) | 2.78510 | − | 1.80089i | 0.317392 | − | 0.205230i | ||||
\(78\) | 2.22035 | 0.251406 | ||||||||
\(79\) | −3.95872 | + | 12.1837i | −0.445390 | + | 1.37077i | 0.436664 | + | 0.899624i | \(0.356160\pi\) |
−0.882055 | + | 0.471147i | \(0.843840\pi\) | |||||||
\(80\) | −0.809017 | + | 0.587785i | −0.0904508 | + | 0.0657164i | ||||
\(81\) | −6.02852 | − | 4.37998i | −0.669836 | − | 0.486664i | ||||
\(82\) | −0.473371 | − | 1.45689i | −0.0522750 | − | 0.160886i | ||||
\(83\) | 1.89590 | + | 5.83498i | 0.208102 | + | 0.640472i | 0.999572 | + | 0.0292639i | \(0.00931633\pi\) |
−0.791470 | + | 0.611209i | \(0.790684\pi\) | |||||||
\(84\) | 0.338879 | + | 0.246210i | 0.0369747 | + | 0.0268637i | ||||
\(85\) | −1.19426 | + | 0.867679i | −0.129535 | + | 0.0941130i | ||||
\(86\) | 1.18385 | − | 3.64350i | 0.127657 | − | 0.392889i | ||||
\(87\) | −2.50392 | −0.268448 | ||||||||
\(88\) | −0.852104 | − | 3.20530i | −0.0908346 | − | 0.341686i | ||||
\(89\) | 13.4596 | 1.42671 | 0.713357 | − | 0.700801i | \(-0.247174\pi\) | ||||
0.713357 | + | 0.700801i | \(0.247174\pi\) | |||||||
\(90\) | −0.872831 | + | 2.68630i | −0.0920045 | + | 0.283161i | ||||
\(91\) | 4.28838 | − | 3.11569i | 0.449544 | − | 0.326613i | ||||
\(92\) | −1.92442 | − | 1.39818i | −0.200635 | − | 0.145770i | ||||
\(93\) | −0.303317 | − | 0.933515i | −0.0314525 | − | 0.0968010i | ||||
\(94\) | −0.464893 | − | 1.43079i | −0.0479501 | − | 0.147575i | ||||
\(95\) | −0.770581 | − | 0.559860i | −0.0790599 | − | 0.0574404i | ||||
\(96\) | 0.338879 | − | 0.246210i | 0.0345867 | − | 0.0251287i | ||||
\(97\) | 5.71255 | − | 17.5814i | 0.580022 | − | 1.78512i | −0.0383814 | − | 0.999263i | \(-0.512220\pi\) |
0.618403 | − | 0.785861i | \(-0.287780\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | −7.26865 | − | 5.90974i | −0.730527 | − | 0.593952i | ||||
\(100\) | 1.00000 | 0.100000 | ||||||||
\(101\) | 2.75684 | − | 8.48467i | 0.274316 | − | 0.844257i | −0.715084 | − | 0.699038i | \(-0.753612\pi\) |
0.989400 | − | 0.145218i | \(-0.0463884\pi\) | |||||||
\(102\) | 0.500248 | − | 0.363451i | 0.0495319 | − | 0.0359870i | ||||
\(103\) | 9.98216 | + | 7.25246i | 0.983571 | + | 0.714606i | 0.958504 | − | 0.285079i | \(-0.0920199\pi\) |
0.0250674 | + | 0.999686i | \(0.492020\pi\) | |||||||
\(104\) | −1.63801 | − | 5.04129i | −0.160621 | − | 0.494339i | ||||
\(105\) | −0.129440 | − | 0.398376i | −0.0126321 | − | 0.0388775i | ||||
\(106\) | 9.18132 | + | 6.67062i | 0.891768 | + | 0.647908i | ||||
\(107\) | −7.81283 | + | 5.67636i | −0.755295 | + | 0.548754i | −0.897464 | − | 0.441088i | \(-0.854593\pi\) |
0.142168 | + | 0.989842i | \(0.454593\pi\) | |||||||
\(108\) | 0.753930 | − | 2.32036i | 0.0725469 | − | 0.223276i | ||||
\(109\) | −5.91826 | −0.566867 | −0.283433 | − | 0.958992i | \(-0.591474\pi\) | ||||
−0.283433 | + | 0.958992i | \(0.591474\pi\) | |||||||
\(110\) | −1.19466 | + | 3.09399i | −0.113906 | + | 0.295001i | ||||
\(111\) | −0.00938394 | −0.000890684 | ||||||||
\(112\) | 0.309017 | − | 0.951057i | 0.0291994 | − | 0.0898664i | ||||
\(113\) | −10.1901 | + | 7.40356i | −0.958607 | + | 0.696469i | −0.952827 | − | 0.303515i | \(-0.901840\pi\) |
−0.00578010 | + | 0.999983i | \(0.501840\pi\) | |||||||
\(114\) | 0.322779 | + | 0.234513i | 0.0302310 | + | 0.0219641i | ||||
\(115\) | 0.735065 | + | 2.26230i | 0.0685451 | + | 0.210960i | ||||
\(116\) | 1.84721 | + | 5.68511i | 0.171509 | + | 0.527850i | ||||
\(117\) | −12.1127 | − | 8.80039i | −1.11982 | − | 0.813597i | ||||
\(118\) | −0.622026 | + | 0.451928i | −0.0572621 | + | 0.0416034i | ||||
\(119\) | 0.456166 | − | 1.40393i | 0.0418167 | − | 0.128698i | ||||
\(120\) | −0.418877 | −0.0382381 | ||||||||
\(121\) | −8.14558 | − | 7.39253i | −0.740507 | − | 0.672048i | ||||
\(122\) | 8.06011 | 0.729729 | ||||||||
\(123\) | 0.198284 | − | 0.610256i | 0.0178787 | − | 0.0550249i | ||||
\(124\) | −1.89577 | + | 1.37736i | −0.170245 | + | 0.123690i | ||||
\(125\) | −0.809017 | − | 0.587785i | −0.0723607 | − | 0.0525731i | ||||
\(126\) | −0.872831 | − | 2.68630i | −0.0777580 | − | 0.239315i | ||||
\(127\) | −0.785541 | − | 2.41765i | −0.0697055 | − | 0.214531i | 0.910135 | − | 0.414311i | \(-0.135977\pi\) |
−0.979841 | + | 0.199780i | \(0.935977\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | 1.29825 | − | 0.943232i | 0.114304 | − | 0.0830469i | ||||
\(130\) | −1.63801 | + | 5.04129i | −0.143663 | + | 0.442150i | ||||
\(131\) | 7.80495 | 0.681921 | 0.340961 | − | 0.940078i | \(-0.389248\pi\) | ||||
0.340961 | + | 0.940078i | \(0.389248\pi\) | |||||||
\(132\) | 0.500415 | − | 1.29600i | 0.0435556 | − | 0.112803i | ||||
\(133\) | 0.952490 | 0.0825914 | ||||||||
\(134\) | 3.76508 | − | 11.5877i | 0.325254 | − | 1.00103i | ||||
\(135\) | −1.97381 | + | 1.43406i | −0.169879 | + | 0.123424i | ||||
\(136\) | −1.19426 | − | 0.867679i | −0.102407 | − | 0.0744029i | ||||
\(137\) | 6.10226 | + | 18.7808i | 0.521351 | + | 1.60455i | 0.771420 | + | 0.636326i | \(0.219547\pi\) |
−0.250069 | + | 0.968228i | \(0.580453\pi\) | |||||||
\(138\) | −0.307902 | − | 0.947624i | −0.0262103 | − | 0.0806671i | ||||
\(139\) | −10.7595 | − | 7.81723i | −0.912608 | − | 0.663049i | 0.0290648 | − | 0.999578i | \(-0.490747\pi\) |
−0.941673 | + | 0.336529i | \(0.890747\pi\) | |||||||
\(140\) | −0.809017 | + | 0.587785i | −0.0683744 | + | 0.0496769i | ||||
\(141\) | 0.194733 | − | 0.599327i | 0.0163995 | − | 0.0504724i | ||||
\(142\) | −11.9348 | −1.00155 | ||||||||
\(143\) | −13.6408 | − | 11.0906i | −1.14070 | − | 0.927445i | ||||
\(144\) | −2.82454 | −0.235378 | ||||||||
\(145\) | 1.84721 | − | 5.68511i | 0.153402 | − | 0.472123i | ||||
\(146\) | −5.89369 | + | 4.28201i | −0.487765 | + | 0.354382i | ||||
\(147\) | 0.338879 | + | 0.246210i | 0.0279503 | + | 0.0203070i | ||||
\(148\) | 0.00692279 | + | 0.0213061i | 0.000569049 | + | 0.00175135i | ||||
\(149\) | 1.22185 | + | 3.76046i | 0.100098 | + | 0.308069i | 0.988549 | − | 0.150903i | \(-0.0482180\pi\) |
−0.888451 | + | 0.458971i | \(0.848218\pi\) | |||||||
\(150\) | 0.338879 | + | 0.246210i | 0.0276693 | + | 0.0201030i | ||||
\(151\) | 7.61740 | − | 5.53437i | 0.619896 | − | 0.450381i | −0.232989 | − | 0.972479i | \(-0.574851\pi\) |
0.852885 | + | 0.522099i | \(0.174851\pi\) | |||||||
\(152\) | 0.294336 | − | 0.905872i | 0.0238738 | − | 0.0734759i | ||||
\(153\) | −4.16954 | −0.337088 | ||||||||
\(154\) | −0.852104 | − | 3.20530i | −0.0686645 | − | 0.258290i | ||||
\(155\) | 2.34330 | 0.188218 | ||||||||
\(156\) | 0.686127 | − | 2.11168i | 0.0549341 | − | 0.169070i | ||||
\(157\) | 6.97674 | − | 5.06890i | 0.556804 | − | 0.404542i | −0.273484 | − | 0.961877i | \(-0.588176\pi\) |
0.830288 | + | 0.557335i | \(0.188176\pi\) | |||||||
\(158\) | 10.3641 | + | 7.52993i | 0.824520 | + | 0.599049i | ||||
\(159\) | 1.46898 | + | 4.52106i | 0.116498 | + | 0.358543i | ||||
\(160\) | 0.309017 | + | 0.951057i | 0.0244299 | + | 0.0751876i | ||||
\(161\) | −1.92442 | − | 1.39818i | −0.151666 | − | 0.110192i | ||||
\(162\) | −6.02852 | + | 4.37998i | −0.473645 | + | 0.344124i | ||||
\(163\) | −3.39625 | + | 10.4526i | −0.266015 | + | 0.818710i | 0.725443 | + | 0.688282i | \(0.241635\pi\) |
−0.991458 | + | 0.130427i | \(0.958365\pi\) | |||||||
\(164\) | −1.53186 | −0.119618 | ||||||||
\(165\) | −1.16662 | + | 0.754352i | −0.0908209 | + | 0.0587262i | ||||
\(166\) | 6.13526 | 0.476189 | ||||||||
\(167\) | 1.31722 | − | 4.05398i | 0.101929 | − | 0.313707i | −0.887068 | − | 0.461639i | \(-0.847262\pi\) |
0.988998 | + | 0.147932i | \(0.0472617\pi\) | |||||||
\(168\) | 0.338879 | − | 0.246210i | 0.0261451 | − | 0.0189955i | ||||
\(169\) | −12.2143 | − | 8.87420i | −0.939561 | − | 0.682631i | ||||
\(170\) | 0.456166 | + | 1.40393i | 0.0349863 | + | 0.107677i | ||||
\(171\) | −0.831364 | − | 2.55867i | −0.0635760 | − | 0.195667i | ||||
\(172\) | −3.09935 | − | 2.25181i | −0.236323 | − | 0.171699i | ||||
\(173\) | −17.6975 | + | 12.8580i | −1.34552 | + | 0.977575i | −0.346295 | + | 0.938126i | \(0.612560\pi\) |
−0.999222 | + | 0.0394490i | \(0.987440\pi\) | |||||||
\(174\) | −0.773752 | + | 2.38136i | −0.0586580 | + | 0.180531i | ||||
\(175\) | 1.00000 | 0.0755929 | ||||||||
\(176\) | −3.31173 | − | 0.180091i | −0.249631 | − | 0.0135749i | ||||
\(177\) | −0.322061 | −0.0242076 | ||||||||
\(178\) | 4.15924 | − | 12.8008i | 0.311748 | − | 0.959463i | ||||
\(179\) | −9.72018 | + | 7.06212i | −0.726520 | + | 0.527848i | −0.888461 | − | 0.458953i | \(-0.848225\pi\) |
0.161941 | + | 0.986801i | \(0.448225\pi\) | |||||||
\(180\) | 2.28510 | + | 1.66022i | 0.170321 | + | 0.123746i | ||||
\(181\) | −6.50856 | − | 20.0313i | −0.483777 | − | 1.48891i | −0.833744 | − | 0.552151i | \(-0.813807\pi\) |
0.349967 | − | 0.936762i | \(-0.386193\pi\) | |||||||
\(182\) | −1.63801 | − | 5.04129i | −0.121418 | − | 0.373685i | ||||
\(183\) | 2.73140 | + | 1.98448i | 0.201911 | + | 0.146697i | ||||
\(184\) | −1.92442 | + | 1.39818i | −0.141870 | + | 0.103075i | ||||
\(185\) | 0.00692279 | − | 0.0213061i | 0.000508973 | − | 0.00156646i | ||||
\(186\) | −0.981556 | −0.0719711 | ||||||||
\(187\) | −4.88873 | − | 0.265848i | −0.357499 | − | 0.0194407i | ||||
\(188\) | −1.50443 | −0.109722 | ||||||||
\(189\) | 0.753930 | − | 2.32036i | 0.0548403 | − | 0.168781i | ||||
\(190\) | −0.770581 | + | 0.559860i | −0.0559038 | + | 0.0406165i | ||||
\(191\) | 6.15609 | + | 4.47266i | 0.445439 | + | 0.323630i | 0.787792 | − | 0.615941i | \(-0.211224\pi\) |
−0.342353 | + | 0.939571i | \(0.611224\pi\) | |||||||
\(192\) | −0.129440 | − | 0.398376i | −0.00934154 | − | 0.0287503i | ||||
\(193\) | 6.37403 | + | 19.6173i | 0.458813 | + | 1.41208i | 0.866600 | + | 0.499004i | \(0.166301\pi\) |
−0.407787 | + | 0.913077i | \(0.633699\pi\) | |||||||
\(194\) | −14.9557 | − | 10.8659i | −1.07375 | − | 0.780128i | ||||
\(195\) | −1.79630 | + | 1.30509i | −0.128636 | + | 0.0934595i | ||||
\(196\) | 0.309017 | − | 0.951057i | 0.0220726 | − | 0.0679326i | ||||
\(197\) | −10.1376 | −0.722273 | −0.361136 | − | 0.932513i | \(-0.617611\pi\) | ||||
−0.361136 | + | 0.932513i | \(0.617611\pi\) | |||||||
\(198\) | −7.86664 | + | 5.08669i | −0.559058 | + | 0.361495i | ||||
\(199\) | 22.6636 | 1.60658 | 0.803290 | − | 0.595588i | \(-0.203081\pi\) | ||||
0.803290 | + | 0.595588i | \(0.203081\pi\) | |||||||
\(200\) | 0.309017 | − | 0.951057i | 0.0218508 | − | 0.0672499i | ||||
\(201\) | 4.12892 | − | 2.99984i | 0.291232 | − | 0.211592i | ||||
\(202\) | −7.21750 | − | 5.24382i | −0.507821 | − | 0.368954i | ||||
\(203\) | 1.84721 | + | 5.68511i | 0.129648 | + | 0.399017i | ||||
\(204\) | −0.191078 | − | 0.588076i | −0.0133781 | − | 0.0411736i | ||||
\(205\) | 1.23930 | + | 0.900404i | 0.0865565 | + | 0.0628870i | ||||
\(206\) | 9.98216 | − | 7.25246i | 0.695490 | − | 0.505303i | ||||
\(207\) | −2.07622 | + | 6.38995i | −0.144307 | + | 0.444132i | ||||
\(208\) | −5.30073 | −0.367539 | ||||||||
\(209\) | −0.811621 | − | 3.05301i | −0.0561410 | − | 0.211181i | ||||
\(210\) | −0.418877 | −0.0289053 | ||||||||
\(211\) | 4.10285 | − | 12.6273i | 0.282452 | − | 0.869297i | −0.704699 | − | 0.709506i | \(-0.748918\pi\) |
0.987151 | − | 0.159791i | \(-0.0510819\pi\) | |||||||
\(212\) | 9.18132 | − | 6.67062i | 0.630575 | − | 0.458140i | ||||
\(213\) | −4.04445 | − | 2.93846i | −0.277121 | − | 0.201340i | ||||
\(214\) | 2.98424 | + | 9.18454i | 0.203998 | + | 0.627842i | ||||
\(215\) | 1.18385 | + | 3.64350i | 0.0807376 | + | 0.248485i | ||||
\(216\) | −1.97381 | − | 1.43406i | −0.134301 | − | 0.0975754i | ||||
\(217\) | −1.89577 | + | 1.37736i | −0.128693 | + | 0.0935011i | ||||
\(218\) | −1.82884 | + | 5.62860i | −0.123865 | + | 0.381217i | ||||
\(219\) | −3.05152 | −0.206203 | ||||||||
\(220\) | 2.57339 | + | 2.09228i | 0.173498 | + | 0.141062i | ||||
\(221\) | −7.82485 | −0.526356 | ||||||||
\(222\) | −0.00289980 | + | 0.00892466i | −0.000194622 | + | 0.000598984i | ||||
\(223\) | 8.58781 | − | 6.23941i | 0.575082 | − | 0.417822i | −0.261866 | − | 0.965104i | \(-0.584338\pi\) |
0.836948 | + | 0.547283i | \(0.184338\pi\) | |||||||
\(224\) | −0.809017 | − | 0.587785i | −0.0540547 | − | 0.0392731i | ||||
\(225\) | −0.872831 | − | 2.68630i | −0.0581888 | − | 0.179087i | ||||
\(226\) | 3.89228 | + | 11.9792i | 0.258911 | + | 0.796846i | ||||
\(227\) | 19.7340 | + | 14.3376i | 1.30979 | + | 0.951621i | 1.00000 | 0.000817631i | \(0.000260260\pi\) | |
0.309795 | + | 0.950804i | \(0.399740\pi\) | |||||||
\(228\) | 0.322779 | − | 0.234513i | 0.0213765 | − | 0.0155310i | ||||
\(229\) | 3.48585 | − | 10.7283i | 0.230351 | − | 0.708949i | −0.767353 | − | 0.641225i | \(-0.778426\pi\) |
0.997704 | − | 0.0677235i | \(-0.0215736\pi\) | |||||||
\(230\) | 2.37872 | 0.156848 | ||||||||
\(231\) | 0.500415 | − | 1.29600i | 0.0329249 | − | 0.0852707i | ||||
\(232\) | 5.97768 | 0.392454 | ||||||||
\(233\) | 2.83864 | − | 8.73644i | 0.185966 | − | 0.572343i | −0.813998 | − | 0.580868i | \(-0.802713\pi\) |
0.999964 | + | 0.00852421i | \(0.00271337\pi\) | |||||||
\(234\) | −12.1127 | + | 8.80039i | −0.791832 | + | 0.575300i | ||||
\(235\) | 1.21711 | + | 0.884279i | 0.0793953 | + | 0.0576840i | ||||
\(236\) | 0.237593 | + | 0.731235i | 0.0154660 | + | 0.0475994i | ||||
\(237\) | 1.65822 | + | 5.10347i | 0.107713 | + | 0.331506i | ||||
\(238\) | −1.19426 | − | 0.867679i | −0.0774123 | − | 0.0562433i | ||||
\(239\) | 2.46982 | − | 1.79443i | 0.159759 | − | 0.116072i | −0.505033 | − | 0.863100i | \(-0.668520\pi\) |
0.664793 | + | 0.747028i | \(0.268520\pi\) | |||||||
\(240\) | −0.129440 | + | 0.398376i | −0.00835533 | + | 0.0257151i | ||||
\(241\) | −5.27801 | −0.339987 | −0.169993 | − | 0.985445i | \(-0.554375\pi\) | ||||
−0.169993 | + | 0.985445i | \(0.554375\pi\) | |||||||
\(242\) | −9.54784 | + | 5.46249i | −0.613758 | + | 0.351142i | ||||
\(243\) | −10.4406 | −0.669767 | ||||||||
\(244\) | 2.49071 | − | 7.66562i | 0.159452 | − | 0.490741i | ||||
\(245\) | −0.809017 | + | 0.587785i | −0.0516862 | + | 0.0375522i | ||||
\(246\) | −0.519115 | − | 0.377159i | −0.0330975 | − | 0.0240468i | ||||
\(247\) | −1.56019 | − | 4.80178i | −0.0992727 | − | 0.305530i | ||||
\(248\) | 0.724120 | + | 2.22861i | 0.0459817 | + | 0.141517i | ||||
\(249\) | 2.07911 | + | 1.51056i | 0.131758 | + | 0.0957280i | ||||
\(250\) | −0.809017 | + | 0.587785i | −0.0511667 | + | 0.0371748i | ||||
\(251\) | −0.654501 | + | 2.01435i | −0.0413117 | + | 0.127144i | −0.969585 | − | 0.244754i | \(-0.921293\pi\) |
0.928274 | + | 0.371898i | \(0.121293\pi\) | |||||||
\(252\) | −2.82454 | −0.177929 | ||||||||
\(253\) | −2.84176 | + | 7.35974i | −0.178660 | + | 0.462703i | ||||
\(254\) | −2.54206 | −0.159503 | ||||||||
\(255\) | −0.191078 | + | 0.588076i | −0.0119657 | + | 0.0368268i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 21.7021 | + | 15.7675i | 1.35374 | + | 0.983549i | 0.998816 | + | 0.0486543i | \(0.0154933\pi\) |
0.354924 | + | 0.934895i | \(0.384507\pi\) | |||||||
\(258\) | −0.495886 | − | 1.52618i | −0.0308725 | − | 0.0950159i | ||||
\(259\) | 0.00692279 | + | 0.0213061i | 0.000430161 | + | 0.00132390i | ||||
\(260\) | 4.28838 | + | 3.11569i | 0.265954 | + | 0.193227i | ||||
\(261\) | 13.6596 | − | 9.92429i | 0.845509 | − | 0.614298i | ||||
\(262\) | 2.41186 | − | 7.42295i | 0.149005 | − | 0.458591i | ||||
\(263\) | −8.68185 | −0.535346 | −0.267673 | − | 0.963510i | \(-0.586255\pi\) | ||||
−0.267673 | + | 0.963510i | \(0.586255\pi\) | |||||||
\(264\) | −1.07794 | − | 0.876410i | −0.0663423 | − | 0.0539393i | ||||
\(265\) | −11.3487 | −0.697147 | ||||||||
\(266\) | 0.294336 | − | 0.905872i | 0.0180469 | − | 0.0555426i | ||||
\(267\) | 4.56117 | − | 3.31388i | 0.279139 | − | 0.202806i | ||||
\(268\) | −9.85712 | − | 7.16162i | −0.602119 | − | 0.437465i | ||||
\(269\) | −3.54222 | − | 10.9018i | −0.215973 | − | 0.664696i | −0.999083 | − | 0.0428134i | \(-0.986368\pi\) |
0.783110 | − | 0.621883i | \(-0.213632\pi\) | |||||||
\(270\) | 0.753930 | + | 2.32036i | 0.0458827 | + | 0.141212i | ||||
\(271\) | −13.9078 | − | 10.1046i | −0.844836 | − | 0.613809i | 0.0788816 | − | 0.996884i | \(-0.474865\pi\) |
−0.923717 | + | 0.383075i | \(0.874865\pi\) | |||||||
\(272\) | −1.19426 | + | 0.867679i | −0.0724125 | + | 0.0526108i | ||||
\(273\) | 0.686127 | − | 2.11168i | 0.0415263 | − | 0.127805i | ||||
\(274\) | 19.7473 | 1.19298 | ||||||||
\(275\) | −0.852104 | − | 3.20530i | −0.0513838 | − | 0.193287i | ||||
\(276\) | −0.996391 | −0.0599757 | ||||||||
\(277\) | 4.69876 | − | 14.4613i | 0.282321 | − | 0.868894i | −0.704868 | − | 0.709339i | \(-0.748994\pi\) |
0.987189 | − | 0.159556i | \(-0.0510062\pi\) | |||||||
\(278\) | −10.7595 | + | 7.81723i | −0.645312 | + | 0.468846i | ||||
\(279\) | 5.35468 | + | 3.89040i | 0.320576 | + | 0.232912i | ||||
\(280\) | 0.309017 | + | 0.951057i | 0.0184673 | + | 0.0568365i | ||||
\(281\) | −0.740017 | − | 2.27754i | −0.0441457 | − | 0.135867i | 0.926554 | − | 0.376161i | \(-0.122756\pi\) |
−0.970700 | + | 0.240294i | \(0.922756\pi\) | |||||||
\(282\) | −0.509818 | − | 0.370405i | −0.0303592 | − | 0.0220573i | ||||
\(283\) | 9.72599 | − | 7.06634i | 0.578150 | − | 0.420050i | −0.259907 | − | 0.965634i | \(-0.583692\pi\) |
0.838057 | + | 0.545583i | \(0.183692\pi\) | |||||||
\(284\) | −3.68805 | + | 11.3507i | −0.218846 | + | 0.673538i | ||||
\(285\) | −0.398977 | −0.0236333 | ||||||||
\(286\) | −14.7631 | + | 9.54602i | −0.872958 | + | 0.564468i | ||||
\(287\) | −1.53186 | −0.0904228 | ||||||||
\(288\) | −0.872831 | + | 2.68630i | −0.0514321 | + | 0.158292i | ||||
\(289\) | 11.9903 | − | 8.71149i | 0.705314 | − | 0.512441i | ||||
\(290\) | −4.83605 | − | 3.51359i | −0.283982 | − | 0.206325i | ||||
\(291\) | −2.39286 | − | 7.36446i | −0.140272 | − | 0.431712i | ||||
\(292\) | 2.25119 | + | 6.92844i | 0.131741 | + | 0.405456i | ||||
\(293\) | −9.09532 | − | 6.60814i | −0.531354 | − | 0.386052i | 0.289510 | − | 0.957175i | \(-0.406508\pi\) |
−0.820864 | + | 0.571124i | \(0.806508\pi\) | |||||||
\(294\) | 0.338879 | − | 0.246210i | 0.0197638 | − | 0.0143593i | ||||
\(295\) | 0.237593 | − | 0.731235i | 0.0138332 | − | 0.0425742i | ||||
\(296\) | 0.0224026 | 0.00130213 | ||||||||
\(297\) | −8.07986 | − | 0.439381i | −0.468841 | − | 0.0254955i | ||||
\(298\) | 3.95398 | 0.229048 | ||||||||
\(299\) | −3.89638 | + | 11.9918i | −0.225333 | + | 0.693504i | ||||
\(300\) | 0.338879 | − | 0.246210i | 0.0195652 | − | 0.0142149i | ||||
\(301\) | −3.09935 | − | 2.25181i | −0.178644 | − | 0.129792i | ||||
\(302\) | −2.90959 | − | 8.95480i | −0.167428 | − | 0.515291i | ||||
\(303\) | −1.15478 | − | 3.55404i | −0.0663402 | − | 0.204174i | ||||
\(304\) | −0.770581 | − | 0.559860i | −0.0441958 | − | 0.0321102i | ||||
\(305\) | −6.52077 | + | 4.73762i | −0.373378 | + | 0.271275i | ||||
\(306\) | −1.28846 | + | 3.96547i | −0.0736564 | + | 0.226691i | ||||
\(307\) | 25.1111 | 1.43317 | 0.716584 | − | 0.697501i | \(-0.245705\pi\) | ||||
0.716584 | + | 0.697501i | \(0.245705\pi\) | |||||||
\(308\) | −3.31173 | − | 0.180091i | −0.188703 | − | 0.0102617i | ||||
\(309\) | 5.16837 | 0.294018 | ||||||||
\(310\) | 0.724120 | − | 2.22861i | 0.0411272 | − | 0.126577i | ||||
\(311\) | 2.12573 | − | 1.54443i | 0.120539 | − | 0.0875766i | −0.525883 | − | 0.850557i | \(-0.676265\pi\) |
0.646421 | + | 0.762981i | \(0.276265\pi\) | |||||||
\(312\) | −1.79630 | − | 1.30509i | −0.101696 | − | 0.0738862i | ||||
\(313\) | 1.20552 | + | 3.71021i | 0.0681400 | + | 0.209713i | 0.979328 | − | 0.202276i | \(-0.0648339\pi\) |
−0.911188 | + | 0.411990i | \(0.864834\pi\) | |||||||
\(314\) | −2.66488 | − | 8.20165i | −0.150388 | − | 0.462846i | ||||
\(315\) | 2.28510 | + | 1.66022i | 0.128751 | + | 0.0935430i | ||||
\(316\) | 10.3641 | − | 7.52993i | 0.583024 | − | 0.423592i | ||||
\(317\) | −8.52346 | + | 26.2325i | −0.478725 | + | 1.47336i | 0.362142 | + | 0.932123i | \(0.382046\pi\) |
−0.840867 | + | 0.541242i | \(0.817954\pi\) | |||||||
\(318\) | 4.75372 | 0.266576 | ||||||||
\(319\) | 16.6485 | − | 10.7651i | 0.932135 | − | 0.602733i | ||||
\(320\) | 1.00000 | 0.0559017 | ||||||||
\(321\) | −1.25003 | + | 3.84719i | −0.0697698 | + | 0.214729i | ||||
\(322\) | −1.92442 | + | 1.39818i | −0.107244 | + | 0.0779173i | ||||
\(323\) | −1.13752 | − | 0.826456i | −0.0632933 | − | 0.0459853i | ||||
\(324\) | 2.30269 | + | 7.08695i | 0.127927 | + | 0.393720i | ||||
\(325\) | −1.63801 | − | 5.04129i | −0.0908607 | − | 0.279640i | ||||
\(326\) | 8.89150 | + | 6.46005i | 0.492455 | + | 0.357789i | ||||
\(327\) | −2.00557 | + | 1.45714i | −0.110909 | + | 0.0805798i | ||||
\(328\) | −0.473371 | + | 1.45689i | −0.0261375 | + | 0.0804430i | ||||
\(329\) | −1.50443 | −0.0829417 | ||||||||
\(330\) | 0.356927 | + | 1.34263i | 0.0196482 | + | 0.0739091i | ||||
\(331\) | 33.4595 | 1.83910 | 0.919551 | − | 0.392972i | \(-0.128553\pi\) | ||||
0.919551 | + | 0.392972i | \(0.128553\pi\) | |||||||
\(332\) | 1.89590 | − | 5.83498i | 0.104051 | − | 0.320236i | ||||
\(333\) | 0.0511922 | − | 0.0371933i | 0.00280532 | − | 0.00203818i | ||||
\(334\) | −3.44852 | − | 2.50550i | −0.188695 | − | 0.137095i | ||||
\(335\) | 3.76508 | + | 11.5877i | 0.205709 | + | 0.633106i | ||||
\(336\) | −0.129440 | − | 0.398376i | −0.00706154 | − | 0.0217332i | ||||
\(337\) | −12.8856 | − | 9.36196i | −0.701925 | − | 0.509978i | 0.178634 | − | 0.983916i | \(-0.442832\pi\) |
−0.880559 | + | 0.473937i | \(0.842832\pi\) | |||||||
\(338\) | −12.2143 | + | 8.87420i | −0.664370 | + | 0.482693i | ||||
\(339\) | −1.63039 | + | 5.01782i | −0.0885506 | + | 0.272531i | ||||
\(340\) | 1.47618 | 0.0800573 | ||||||||
\(341\) | 6.03023 | + | 4.90285i | 0.326555 | + | 0.265504i | ||||
\(342\) | −2.69035 | −0.145477 | ||||||||
\(343\) | 0.309017 | − | 0.951057i | 0.0166853 | − | 0.0513522i | ||||
\(344\) | −3.09935 | + | 2.25181i | −0.167106 | + | 0.121409i | ||||
\(345\) | 0.806097 | + | 0.585664i | 0.0433988 | + | 0.0315311i | ||||
\(346\) | 6.75984 | + | 20.8047i | 0.363412 | + | 1.11847i | ||||
\(347\) | 5.89602 | + | 18.1461i | 0.316515 | + | 0.974133i | 0.975126 | + | 0.221650i | \(0.0711441\pi\) |
−0.658611 | + | 0.752483i | \(0.728856\pi\) | |||||||
\(348\) | 2.02571 | + | 1.47176i | 0.108589 | + | 0.0788949i | ||||
\(349\) | 14.0324 | − | 10.1952i | 0.751140 | − | 0.545735i | −0.145040 | − | 0.989426i | \(-0.546331\pi\) |
0.896180 | + | 0.443691i | \(0.146331\pi\) | |||||||
\(350\) | 0.309017 | − | 0.951057i | 0.0165177 | − | 0.0508361i | ||||
\(351\) | −12.9325 | −0.690288 | ||||||||
\(352\) | −1.19466 | + | 3.09399i | −0.0636755 | + | 0.164910i | ||||
\(353\) | −23.2547 | −1.23772 | −0.618861 | − | 0.785501i | \(-0.712405\pi\) | ||||
−0.618861 | + | 0.785501i | \(0.712405\pi\) | |||||||
\(354\) | −0.0995222 | + | 0.306298i | −0.00528955 | + | 0.0162795i | ||||
\(355\) | 9.65545 | − | 7.01509i | 0.512458 | − | 0.372322i | ||||
\(356\) | −10.8890 | − | 7.91135i | −0.577118 | − | 0.419301i | ||||
\(357\) | −0.191078 | − | 0.588076i | −0.0101129 | − | 0.0311243i | ||||
\(358\) | 3.71278 | + | 11.4268i | 0.196226 | + | 0.603923i | ||||
\(359\) | 0.161926 | + | 0.117646i | 0.00854612 | + | 0.00620912i | 0.592050 | − | 0.805901i | \(-0.298319\pi\) |
−0.583504 | + | 0.812110i | \(0.698319\pi\) | |||||||
\(360\) | 2.28510 | − | 1.66022i | 0.120435 | − | 0.0875015i | ||||
\(361\) | −5.59097 | + | 17.2072i | −0.294262 | + | 0.905644i | ||||
\(362\) | −21.0621 | −1.10700 | ||||||||
\(363\) | −4.58048 | − | 0.499649i | −0.240413 | − | 0.0262248i | ||||
\(364\) | −5.30073 | −0.277834 | ||||||||
\(365\) | 2.25119 | − | 6.92844i | 0.117833 | − | 0.362651i | ||||
\(366\) | 2.73140 | − | 1.98448i | 0.142773 | − | 0.103730i | ||||
\(367\) | −10.5470 | − | 7.66285i | −0.550549 | − | 0.399998i | 0.277439 | − | 0.960743i | \(-0.410514\pi\) |
−0.827988 | + | 0.560746i | \(0.810514\pi\) | |||||||
\(368\) | 0.735065 | + | 2.26230i | 0.0383179 | + | 0.117930i | ||||
\(369\) | 1.33706 | + | 4.11503i | 0.0696043 | + | 0.214220i | ||||
\(370\) | −0.0181241 | − | 0.0131679i | −0.000942227 | − | 0.000684568i | ||||
\(371\) | 9.18132 | − | 6.67062i | 0.476670 | − | 0.346321i | ||||
\(372\) | −0.303317 | + | 0.933515i | −0.0157263 | + | 0.0484005i | ||||
\(373\) | 16.1910 | 0.838336 | 0.419168 | − | 0.907909i | \(-0.362322\pi\) | ||||
0.419168 | + | 0.907909i | \(0.362322\pi\) | |||||||
\(374\) | −1.76354 | + | 4.56730i | −0.0911903 | + | 0.236170i | ||||
\(375\) | −0.418877 | −0.0216307 | ||||||||
\(376\) | −0.464893 | + | 1.43079i | −0.0239750 | + | 0.0737876i | ||||
\(377\) | 25.6346 | − | 18.6246i | 1.32025 | − | 0.959216i | ||||
\(378\) | −1.97381 | − | 1.43406i | −0.101522 | − | 0.0737601i | ||||
\(379\) | 11.7604 | + | 36.1949i | 0.604093 | + | 1.85921i | 0.502908 | + | 0.864340i | \(0.332263\pi\) |
0.101185 | + | 0.994868i | \(0.467737\pi\) | |||||||
\(380\) | 0.294336 | + | 0.905872i | 0.0150991 | + | 0.0464703i | ||||
\(381\) | −0.861451 | − | 0.625881i | −0.0441335 | − | 0.0320649i | ||||
\(382\) | 6.15609 | − | 4.47266i | 0.314973 | − | 0.228841i | ||||
\(383\) | −1.01047 | + | 3.10990i | −0.0516325 | + | 0.158908i | −0.973548 | − | 0.228483i | \(-0.926624\pi\) |
0.921916 | + | 0.387391i | \(0.126624\pi\) | |||||||
\(384\) | −0.418877 | −0.0213757 | ||||||||
\(385\) | 2.57339 | + | 2.09228i | 0.131152 | + | 0.106633i | ||||
\(386\) | 20.6268 | 1.04988 | ||||||||
\(387\) | −3.34382 | + | 10.2912i | −0.169976 | + | 0.523133i | ||||
\(388\) | −14.9557 | + | 10.8659i | −0.759259 | + | 0.551634i | ||||
\(389\) | 24.2783 | + | 17.6392i | 1.23096 | + | 0.894344i | 0.996962 | − | 0.0778928i | \(-0.0248192\pi\) |
0.233998 | + | 0.972237i | \(0.424819\pi\) | |||||||
\(390\) | 0.686127 | + | 2.11168i | 0.0347434 | + | 0.106929i | ||||
\(391\) | 1.08509 | + | 3.33957i | 0.0548754 | + | 0.168889i | ||||
\(392\) | −0.809017 | − | 0.587785i | −0.0408615 | − | 0.0296876i | ||||
\(393\) | 2.64493 | − | 1.92165i | 0.133419 | − | 0.0969347i | ||||
\(394\) | −3.13269 | + | 9.64141i | −0.157822 | + | 0.485727i | ||||
\(395\) | −12.8107 | −0.644575 | ||||||||
\(396\) | 2.40680 | + | 9.05349i | 0.120946 | + | 0.454955i | ||||
\(397\) | 15.5047 | 0.778158 | 0.389079 | − | 0.921204i | \(-0.372793\pi\) | ||||
0.389079 | + | 0.921204i | \(0.372793\pi\) | |||||||
\(398\) | 7.00344 | − | 21.5544i | 0.351050 | − | 1.08042i | ||||
\(399\) | 0.322779 | − | 0.234513i | 0.0161592 | − | 0.0117403i | ||||
\(400\) | −0.809017 | − | 0.587785i | −0.0404508 | − | 0.0293893i | ||||
\(401\) | −1.76285 | − | 5.42551i | −0.0880328 | − | 0.270937i | 0.897343 | − | 0.441335i | \(-0.145495\pi\) |
−0.985375 | + | 0.170398i | \(0.945495\pi\) | |||||||
\(402\) | −1.57711 | − | 4.85384i | −0.0786590 | − | 0.242088i | ||||
\(403\) | 10.0490 | + | 7.30100i | 0.500574 | + | 0.363689i | ||||
\(404\) | −7.21750 | + | 5.24382i | −0.359084 | + | 0.260890i | ||||
\(405\) | 2.30269 | − | 7.08695i | 0.114422 | − | 0.352153i | ||||
\(406\) | 5.97768 | 0.296667 | ||||||||
\(407\) | 0.0623936 | − | 0.0403446i | 0.00309273 | − | 0.00199981i | ||||
\(408\) | −0.618340 | −0.0306124 | ||||||||
\(409\) | 0.398004 | − | 1.22493i | 0.0196800 | − | 0.0605690i | −0.940734 | − | 0.339145i | \(-0.889862\pi\) |
0.960414 | + | 0.278576i | \(0.0898623\pi\) | |||||||
\(410\) | 1.23930 | − | 0.900404i | 0.0612047 | − | 0.0444678i | ||||
\(411\) | 6.69195 | + | 4.86199i | 0.330090 | + | 0.239824i | ||||
\(412\) | −3.81285 | − | 11.7347i | −0.187845 | − | 0.578129i | ||||
\(413\) | 0.237593 | + | 0.731235i | 0.0116912 | + | 0.0359817i | ||||
\(414\) | 5.43562 | + | 3.94921i | 0.267146 | + | 0.194093i | ||||
\(415\) | −4.96353 | + | 3.60622i | −0.243650 | + | 0.177022i | ||||
\(416\) | −1.63801 | + | 5.04129i | −0.0803103 | + | 0.247170i | ||||
\(417\) | −5.57084 | −0.272805 | ||||||||
\(418\) | −3.15439 | − | 0.171535i | −0.154286 | − | 0.00839007i | ||||
\(419\) | 36.2889 | 1.77283 | 0.886414 | − | 0.462893i | \(-0.153189\pi\) | ||||
0.886414 | + | 0.462893i | \(0.153189\pi\) | |||||||
\(420\) | −0.129440 | + | 0.398376i | −0.00631603 | + | 0.0194388i | ||||
\(421\) | 10.8442 | − | 7.87877i | 0.528514 | − | 0.383988i | −0.291288 | − | 0.956635i | \(-0.594084\pi\) |
0.819802 | + | 0.572648i | \(0.194084\pi\) | |||||||
\(422\) | −10.7414 | − | 7.80408i | −0.522883 | − | 0.379897i | ||||
\(423\) | 1.31311 | + | 4.04134i | 0.0638456 | + | 0.196497i | ||||
\(424\) | −3.50695 | − | 10.7933i | −0.170313 | − | 0.524168i | ||||
\(425\) | −1.19426 | − | 0.867679i | −0.0579300 | − | 0.0420886i | ||||
\(426\) | −4.04445 | + | 2.93846i | −0.195954 | + | 0.142369i | ||||
\(427\) | 2.49071 | − | 7.66562i | 0.120534 | − | 0.370966i | ||||
\(428\) | 9.65719 | 0.466798 | ||||||||
\(429\) | −7.35321 | − | 0.399867i | −0.355017 | − | 0.0193057i | ||||
\(430\) | 3.83101 | 0.184748 | ||||||||
\(431\) | 0.737575 | − | 2.27002i | 0.0355277 | − | 0.109343i | −0.931720 | − | 0.363178i | \(-0.881692\pi\) |
0.967248 | + | 0.253834i | \(0.0816918\pi\) | |||||||
\(432\) | −1.97381 | + | 1.43406i | −0.0949652 | + | 0.0689962i | ||||
\(433\) | 18.3387 | + | 13.3238i | 0.881300 | + | 0.640302i | 0.933595 | − | 0.358330i | \(-0.116654\pi\) |
−0.0522952 | + | 0.998632i | \(0.516654\pi\) | |||||||
\(434\) | 0.724120 | + | 2.22861i | 0.0347589 | + | 0.106977i | ||||
\(435\) | −0.773752 | − | 2.38136i | −0.0370986 | − | 0.114178i | ||||
\(436\) | 4.78798 | + | 3.47867i | 0.229303 | + | 0.166598i | ||||
\(437\) | −1.83300 | + | 1.33175i | −0.0876841 | + | 0.0637062i | ||||
\(438\) | −0.942971 | + | 2.90217i | −0.0450569 | + | 0.138671i | ||||
\(439\) | 17.7876 | 0.848958 | 0.424479 | − | 0.905438i | \(-0.360457\pi\) | ||||
0.424479 | + | 0.905438i | \(0.360457\pi\) | |||||||
\(440\) | 2.78510 | − | 1.80089i | 0.132775 | − | 0.0858541i | ||||
\(441\) | −2.82454 | −0.134502 | ||||||||
\(442\) | −2.41801 | + | 7.44187i | −0.115013 | + | 0.353974i | ||||
\(443\) | 19.4904 | − | 14.1606i | 0.926015 | − | 0.672789i | −0.0189990 | − | 0.999820i | \(-0.506048\pi\) |
0.945014 | + | 0.327030i | \(0.106048\pi\) | |||||||
\(444\) | 0.00759177 | + | 0.00551574i | 0.000360289 | + | 0.000261766i | ||||
\(445\) | 4.15924 | + | 12.8008i | 0.197167 | + | 0.606817i | ||||
\(446\) | −3.28025 | − | 10.0956i | −0.155324 | − | 0.478039i | ||||
\(447\) | 1.33992 | + | 0.973509i | 0.0633760 | + | 0.0460454i | ||||
\(448\) | −0.809017 | + | 0.587785i | −0.0382225 | + | 0.0277702i | ||||
\(449\) | −1.87559 | + | 5.77248i | −0.0885147 | + | 0.272420i | −0.985509 | − | 0.169621i | \(-0.945746\pi\) |
0.896995 | + | 0.442041i | \(0.145746\pi\) | |||||||
\(450\) | −2.82454 | −0.133150 | ||||||||
\(451\) | 1.30530 | + | 4.91006i | 0.0614644 | + | 0.231206i | ||||
\(452\) | 12.5957 | 0.592452 | ||||||||
\(453\) | 1.21876 | − | 3.75096i | 0.0572624 | − | 0.176235i | ||||
\(454\) | 19.7340 | − | 14.3376i | 0.926164 | − | 0.672898i | ||||
\(455\) | 4.28838 | + | 3.11569i | 0.201042 | + | 0.146066i | ||||
\(456\) | −0.123291 | − | 0.379449i | −0.00577361 | − | 0.0177693i | ||||
\(457\) | 1.52056 | + | 4.67982i | 0.0711290 | + | 0.218913i | 0.980301 | − | 0.197507i | \(-0.0632846\pi\) |
−0.909172 | + | 0.416420i | \(0.863285\pi\) | |||||||
\(458\) | −9.12607 | − | 6.63048i | −0.426433 | − | 0.309822i | ||||
\(459\) | −2.91371 | + | 2.11694i | −0.136000 | + | 0.0988101i | ||||
\(460\) | 0.735065 | − | 2.26230i | 0.0342726 | − | 0.105480i | ||||
\(461\) | −33.6918 | −1.56918 | −0.784591 | − | 0.620013i | \(-0.787127\pi\) | ||||
−0.784591 | + | 0.620013i | \(0.787127\pi\) | |||||||
\(462\) | −1.07794 | − | 0.876410i | −0.0501501 | − | 0.0407743i | ||||
\(463\) | 2.26163 | 0.105107 | 0.0525533 | − | 0.998618i | \(-0.483264\pi\) | ||||
0.0525533 | + | 0.998618i | \(0.483264\pi\) | |||||||
\(464\) | 1.84721 | − | 5.68511i | 0.0857544 | − | 0.263925i | ||||
\(465\) | 0.794095 | − | 0.576944i | 0.0368253 | − | 0.0267551i | ||||
\(466\) | −7.43166 | − | 5.39942i | −0.344265 | − | 0.250123i | ||||
\(467\) | 4.13848 | + | 12.7369i | 0.191506 | + | 0.589395i | 1.00000 | 0.000890122i | \(0.000283335\pi\) | |
−0.808493 | + | 0.588505i | \(0.799717\pi\) | |||||||
\(468\) | 4.62664 | + | 14.2393i | 0.213867 | + | 0.658213i | ||||
\(469\) | −9.85712 | − | 7.16162i | −0.455159 | − | 0.330693i | ||||
\(470\) | 1.21711 | − | 0.884279i | 0.0561409 | − | 0.0407888i | ||||
\(471\) | 1.11626 | − | 3.43548i | 0.0514344 | − | 0.158299i | ||||
\(472\) | 0.768866 | 0.0353899 | ||||||||
\(473\) | −4.57675 | + | 11.8531i | −0.210439 | + | 0.545006i | ||||
\(474\) | 5.36610 | 0.246473 | ||||||||
\(475\) | 0.294336 | − | 0.905872i | 0.0135050 | − | 0.0415643i | ||||
\(476\) | −1.19426 | + | 0.867679i | −0.0547387 | + | 0.0397700i | ||||
\(477\) | −25.9330 | − | 18.8414i | −1.18739 | − | 0.862690i | ||||
\(478\) | −0.943388 | − | 2.90345i | −0.0431496 | − | 0.132801i | ||||
\(479\) | 5.14937 | + | 15.8481i | 0.235281 | + | 0.724120i | 0.997084 | + | 0.0763114i | \(0.0243143\pi\) |
−0.761803 | + | 0.647809i | \(0.775686\pi\) | |||||||
\(480\) | 0.338879 | + | 0.246210i | 0.0154676 | + | 0.0112379i | ||||
\(481\) | 0.0960708 | − | 0.0697995i | 0.00438045 | − | 0.00318259i | ||||
\(482\) | −1.63099 | + | 5.01969i | −0.0742898 | + | 0.228640i | ||||
\(483\) | −0.996391 | −0.0453374 | ||||||||
\(484\) | 2.24469 | + | 10.7685i | 0.102032 | + | 0.489479i | ||||
\(485\) | 18.4862 | 0.839416 | ||||||||
\(486\) | −3.22633 | + | 9.92963i | −0.146349 | + | 0.450417i | ||||
\(487\) | 10.2712 | − | 7.46249i | 0.465434 | − | 0.338158i | −0.330225 | − | 0.943902i | \(-0.607125\pi\) |
0.795659 | + | 0.605745i | \(0.207125\pi\) | |||||||
\(488\) | −6.52077 | − | 4.73762i | −0.295181 | − | 0.214462i | ||||
\(489\) | 1.42261 | + | 4.37835i | 0.0643328 | + | 0.197996i | ||||
\(490\) | 0.309017 | + | 0.951057i | 0.0139600 | + | 0.0429644i | ||||
\(491\) | −12.4906 | − | 9.07493i | −0.563691 | − | 0.409546i | 0.269117 | − | 0.963108i | \(-0.413268\pi\) |
−0.832808 | + | 0.553562i | \(0.813268\pi\) | |||||||
\(492\) | −0.519115 | + | 0.377159i | −0.0234035 | + | 0.0170036i | ||||
\(493\) | 2.72682 | − | 8.39228i | 0.122810 | − | 0.377969i | ||||
\(494\) | −5.04889 | −0.227160 | ||||||||
\(495\) | 3.37436 | − | 8.73911i | 0.151666 | − | 0.392794i | ||||
\(496\) | 2.34330 | 0.105217 | ||||||||
\(497\) | −3.68805 | + | 11.3507i | −0.165432 | + | 0.509147i | ||||
\(498\) | 2.07911 | − | 1.51056i | 0.0931672 | − | 0.0676899i | ||||
\(499\) | 4.82943 | + | 3.50878i | 0.216195 | + | 0.157075i | 0.690612 | − | 0.723225i | \(-0.257341\pi\) |
−0.474417 | + | 0.880300i | \(0.657341\pi\) | |||||||
\(500\) | 0.309017 | + | 0.951057i | 0.0138197 | + | 0.0425325i | ||||
\(501\) | −0.551753 | − | 1.69812i | −0.0246505 | − | 0.0758664i | ||||
\(502\) | 1.71351 | + | 1.24493i | 0.0764775 | + | 0.0555642i | ||||
\(503\) | 0.812961 | − | 0.590651i | 0.0362481 | − | 0.0263358i | −0.569514 | − | 0.821982i | \(-0.692868\pi\) |
0.605762 | + | 0.795646i | \(0.292868\pi\) | |||||||
\(504\) | −0.872831 | + | 2.68630i | −0.0388790 | + | 0.119657i | ||||
\(505\) | 8.92131 | 0.396993 | ||||||||
\(506\) | 6.12138 | + | 4.97696i | 0.272128 | + | 0.221253i | ||||
\(507\) | −6.32408 | −0.280862 | ||||||||
\(508\) | −0.785541 | + | 2.41765i | −0.0348527 | + | 0.107266i | ||||
\(509\) | −15.5698 | + | 11.3121i | −0.690119 | + | 0.501401i | −0.876699 | − | 0.481039i | \(-0.840260\pi\) |
0.186580 | + | 0.982440i | \(0.440260\pi\) | |||||||
\(510\) | 0.500248 | + | 0.363451i | 0.0221513 | + | 0.0160939i | ||||
\(511\) | 2.25119 | + | 6.92844i | 0.0995867 | + | 0.306496i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | −1.88004 | − | 1.36593i | −0.0830057 | − | 0.0603072i | ||||
\(514\) | 21.7021 | − | 15.7675i | 0.957238 | − | 0.695474i | ||||
\(515\) | −3.81285 | + | 11.7347i | −0.168014 | + | 0.517094i | ||||
\(516\) | −1.60472 | −0.0706439 | ||||||||
\(517\) | 1.28193 | + | 4.82213i | 0.0563791 | + | 0.212077i | ||||
\(518\) | 0.0224026 | 0.000984314 | ||||||||
\(519\) | −2.83155 | + | 8.71460i | −0.124291 | + | 0.382528i | ||||
\(520\) | 4.28838 | − | 3.11569i | 0.188058 | − | 0.136632i | ||||
\(521\) | −3.25548 | − | 2.36525i | −0.142625 | − | 0.103623i | 0.514185 | − | 0.857680i | \(-0.328095\pi\) |
−0.656810 | + | 0.754056i | \(0.728095\pi\) | |||||||
\(522\) | −5.21751 | − | 16.0578i | −0.228364 | − | 0.702833i | ||||
\(523\) | −0.331253 | − | 1.01949i | −0.0144847 | − | 0.0445792i | 0.943553 | − | 0.331222i | \(-0.107461\pi\) |
−0.958038 | + | 0.286643i | \(0.907461\pi\) | |||||||
\(524\) | −6.31433 | − | 4.58763i | −0.275843 | − | 0.200412i | ||||
\(525\) | 0.338879 | − | 0.246210i | 0.0147899 | − | 0.0107455i | ||||
\(526\) | −2.68284 | + | 8.25693i | −0.116977 | + | 0.360019i | ||||
\(527\) | 3.45914 | 0.150683 | ||||||||
\(528\) | −1.16662 | + | 0.754352i | −0.0507704 | + | 0.0328289i | ||||
\(529\) | −17.3417 | −0.753987 | ||||||||
\(530\) | −3.50695 | + | 10.7933i | −0.152332 | + | 0.468830i | ||||
\(531\) | 1.75694 | − | 1.27649i | 0.0762446 | − | 0.0553950i | ||||
\(532\) | −0.770581 | − | 0.559860i | −0.0334089 | − | 0.0242730i | ||||
\(533\) | 2.50921 | + | 7.72255i | 0.108686 | + | 0.334501i | ||||
\(534\) | −1.74221 | − | 5.36198i | −0.0753929 | − | 0.232035i | ||||
\(535\) | −7.81283 | − | 5.67636i | −0.337778 | − | 0.245410i | ||||
\(536\) | −9.85712 | + | 7.16162i | −0.425763 | + | 0.309335i | ||||
\(537\) | −1.55520 | + | 4.78641i | −0.0671117 | + | 0.206549i | ||||
\(538\) | −11.4629 | −0.494199 | ||||||||
\(539\) | −3.31173 | − | 0.180091i | −0.142646 | − | 0.00775709i | ||||
\(540\) | 2.43977 | 0.104991 | ||||||||
\(541\) | −9.84871 | + | 30.3112i | −0.423429 | + | 1.30318i | 0.481061 | + | 0.876687i | \(0.340251\pi\) |
−0.904490 | + | 0.426494i | \(0.859749\pi\) | |||||||
\(542\) | −13.9078 | + | 10.1046i | −0.597389 | + | 0.434029i | ||||
\(543\) | −7.13751 | − | 5.18570i | −0.306300 | − | 0.222540i | ||||
\(544\) | 0.456166 | + | 1.40393i | 0.0195580 | + | 0.0601932i | ||||
\(545\) | −1.82884 | − | 5.62860i | −0.0783391 | − | 0.241103i | ||||
\(546\) | −1.79630 | − | 1.30509i | −0.0768747 | − | 0.0558527i | ||||
\(547\) | 6.15532 | − | 4.47210i | 0.263183 | − | 0.191213i | −0.448366 | − | 0.893850i | \(-0.647994\pi\) |
0.711549 | + | 0.702637i | \(0.247994\pi\) | |||||||
\(548\) | 6.10226 | − | 18.7808i | 0.260676 | − | 0.802277i | ||||
\(549\) | −22.7661 | −0.971635 | ||||||||
\(550\) | −3.31173 | − | 0.180091i | −0.141213 | − | 0.00767913i | ||||
\(551\) | 5.69369 | 0.242559 | ||||||||
\(552\) | −0.307902 | + | 0.947624i | −0.0131052 | + | 0.0403336i | ||||
\(553\) | 10.3641 | − | 7.52993i | 0.440725 | − | 0.320205i | ||||
\(554\) | −12.3015 | − | 8.93757i | −0.522641 | − | 0.379721i | ||||
\(555\) | −0.00289980 | − | 0.00892466i | −0.000123090 | − | 0.000378831i | ||||
\(556\) | 4.10976 | + | 12.6485i | 0.174293 | + | 0.536418i | ||||
\(557\) | −20.3489 | − | 14.7843i | −0.862210 | − | 0.626432i | 0.0662757 | − | 0.997801i | \(-0.478888\pi\) |
−0.928485 | + | 0.371369i | \(0.878888\pi\) | |||||||
\(558\) | 5.35468 | − | 3.89040i | 0.226682 | − | 0.164694i | ||||
\(559\) | −6.27524 | + | 19.3132i | −0.265415 | + | 0.816862i | ||||
\(560\) | 1.00000 | 0.0422577 | ||||||||
\(561\) | −1.72214 | + | 1.11356i | −0.0727088 | + | 0.0470146i | ||||
\(562\) | −2.39475 | −0.101016 | ||||||||
\(563\) | 11.2380 | − | 34.5870i | 0.473626 | − | 1.45767i | −0.374177 | − | 0.927357i | \(-0.622075\pi\) |
0.847802 | − | 0.530312i | \(-0.177925\pi\) | |||||||
\(564\) | −0.509818 | + | 0.370405i | −0.0214672 | + | 0.0155968i | ||||
\(565\) | −10.1901 | − | 7.40356i | −0.428702 | − | 0.311470i | ||||
\(566\) | −3.71500 | − | 11.4336i | −0.156153 | − | 0.480589i | ||||
\(567\) | 2.30269 | + | 7.08695i | 0.0967039 | + | 0.297624i | ||||
\(568\) | 9.65545 | + | 7.01509i | 0.405134 | + | 0.294347i | ||||
\(569\) | −19.2037 | + | 13.9523i | −0.805060 | + | 0.584910i | −0.912394 | − | 0.409313i | \(-0.865769\pi\) |
0.107334 | + | 0.994223i | \(0.465769\pi\) | |||||||
\(570\) | −0.123291 | + | 0.379449i | −0.00516407 | + | 0.0158934i | ||||
\(571\) | −42.7475 | −1.78893 | −0.894464 | − | 0.447139i | \(-0.852443\pi\) | ||||
−0.894464 | + | 0.447139i | \(0.852443\pi\) | |||||||
\(572\) | 4.51677 | + | 16.9904i | 0.188856 | + | 0.710404i | ||||
\(573\) | 3.18738 | 0.133155 | ||||||||
\(574\) | −0.473371 | + | 1.45689i | −0.0197581 | + | 0.0608092i | ||||
\(575\) | −1.92442 | + | 1.39818i | −0.0802540 | + | 0.0583080i | ||||
\(576\) | 2.28510 | + | 1.66022i | 0.0952126 | + | 0.0691760i | ||||
\(577\) | 7.93426 | + | 24.4192i | 0.330308 | + | 1.01658i | 0.968987 | + | 0.247110i | \(0.0794809\pi\) |
−0.638680 | + | 0.769473i | \(0.720519\pi\) | |||||||
\(578\) | −4.57990 | − | 14.0955i | −0.190499 | − | 0.586295i | ||||
\(579\) | 6.98999 | + | 5.07852i | 0.290494 | + | 0.211056i | ||||
\(580\) | −4.83605 | + | 3.51359i | −0.200806 | + | 0.145894i | ||||
\(581\) | 1.89590 | − | 5.83498i | 0.0786552 | − | 0.242076i | ||||
\(582\) | −7.74345 | −0.320976 | ||||||||
\(583\) | −29.2047 | − | 23.7448i | −1.20954 | − | 0.983408i | ||||
\(584\) | 7.28500 | 0.301455 | ||||||||
\(585\) | 4.62664 | − | 14.2393i | 0.191288 | − | 0.588724i | ||||
\(586\) | −9.09532 | + | 6.60814i | −0.375724 | + | 0.272980i | ||||
\(587\) | 30.6145 | + | 22.2427i | 1.26359 | + | 0.918055i | 0.998928 | − | 0.0462846i | \(-0.0147381\pi\) |
0.264667 | + | 0.964340i | \(0.414738\pi\) | |||||||
\(588\) | −0.129440 | − | 0.398376i | −0.00533802 | − | 0.0164287i | ||||
\(589\) | 0.689717 | + | 2.12273i | 0.0284193 | + | 0.0874656i | ||||
\(590\) | −0.622026 | − | 0.451928i | −0.0256084 | − | 0.0186056i | ||||
\(591\) | −3.43541 | + | 2.49597i | −0.141314 | + | 0.102671i | ||||
\(592\) | 0.00692279 | − | 0.0213061i | 0.000284525 | − | 0.000875677i | ||||
\(593\) | 8.15354 | 0.334826 | 0.167413 | − | 0.985887i | \(-0.446459\pi\) | ||||
0.167413 | + | 0.985887i | \(0.446459\pi\) | |||||||
\(594\) | −2.91469 | + | 7.54862i | −0.119591 | + | 0.309724i | ||||
\(595\) | 1.47618 | 0.0605177 | ||||||||
\(596\) | 1.22185 | − | 3.76046i | 0.0500488 | − | 0.154034i | ||||
\(597\) | 7.68021 | − | 5.58000i | 0.314330 | − | 0.228374i | ||||
\(598\) | 10.2008 | + | 7.41135i | 0.417144 | + | 0.303073i | ||||
\(599\) | −3.10370 | − | 9.55221i | −0.126814 | − | 0.390293i | 0.867413 | − | 0.497588i | \(-0.165781\pi\) |
−0.994227 | + | 0.107295i | \(0.965781\pi\) | |||||||
\(600\) | −0.129440 | − | 0.398376i | −0.00528437 | − | 0.0162636i | ||||
\(601\) | −15.7141 | − | 11.4169i | −0.640990 | − | 0.465707i | 0.219200 | − | 0.975680i | \(-0.429655\pi\) |
−0.860190 | + | 0.509973i | \(0.829655\pi\) | |||||||
\(602\) | −3.09935 | + | 2.25181i | −0.126320 | + | 0.0917769i | ||||
\(603\) | −10.6346 | + | 32.7301i | −0.433076 | + | 1.33287i | ||||
\(604\) | −9.41563 | −0.383117 | ||||||||
\(605\) | 4.51359 | − | 10.0313i | 0.183504 | − | 0.407831i | ||||
\(606\) | −3.73694 | −0.151803 | ||||||||
\(607\) | 4.59976 | − | 14.1566i | 0.186698 | − | 0.574598i | −0.813275 | − | 0.581879i | \(-0.802318\pi\) |
0.999973 | + | 0.00728090i | \(0.00231760\pi\) | |||||||
\(608\) | −0.770581 | + | 0.559860i | −0.0312512 | + | 0.0227053i | ||||
\(609\) | 2.02571 | + | 1.47176i | 0.0820859 | + | 0.0596389i | ||||
\(610\) | 2.49071 | + | 7.66562i | 0.100846 | + | 0.310372i | ||||
\(611\) | 2.46427 | + | 7.58425i | 0.0996938 | + | 0.306826i | ||||
\(612\) | 3.37323 | + | 2.45080i | 0.136355 | + | 0.0990676i | ||||
\(613\) | 14.6488 | − | 10.6430i | 0.591660 | − | 0.429866i | −0.251249 | − | 0.967923i | \(-0.580841\pi\) |
0.842909 | + | 0.538056i | \(0.180841\pi\) | |||||||
\(614\) | 7.75977 | − | 23.8821i | 0.313159 | − | 0.963803i | ||||
\(615\) | 0.641661 | 0.0258743 | ||||||||
\(616\) | −1.19466 | + | 3.09399i | −0.0481342 | + | 0.124661i | ||||
\(617\) | −33.3189 | −1.34137 | −0.670684 | − | 0.741743i | \(-0.733999\pi\) | ||||
−0.670684 | + | 0.741743i | \(0.733999\pi\) | |||||||
\(618\) | 1.59711 | − | 4.91541i | 0.0642454 | − | 0.197727i | ||||
\(619\) | 10.5716 | − | 7.68070i | 0.424907 | − | 0.308713i | −0.354702 | − | 0.934979i | \(-0.615418\pi\) |
0.779609 | + | 0.626266i | \(0.215418\pi\) | |||||||
\(620\) | −1.89577 | − | 1.37736i | −0.0761360 | − | 0.0553160i | ||||
\(621\) | 1.79339 | + | 5.51948i | 0.0719661 | + | 0.221489i | ||||
\(622\) | −0.811955 | − | 2.49894i | −0.0325564 | − | 0.100198i | ||||
\(623\) | −10.8890 | − | 7.91135i | −0.436260 | − | 0.316961i | ||||
\(624\) | −1.79630 | + | 1.30509i | −0.0719097 | + | 0.0522455i | ||||
\(625\) | 0.309017 | − | 0.951057i | 0.0123607 | − | 0.0380423i | ||||
\(626\) | 3.90115 | 0.155921 | ||||||||
\(627\) | −1.02672 | − | 0.834772i | −0.0410034 | − | 0.0333376i | ||||
\(628\) | −8.62372 | −0.344124 | ||||||||
\(629\) | 0.0102193 | − | 0.0314518i | 0.000407470 | − | 0.00125407i | ||||
\(630\) | 2.28510 | − | 1.66022i | 0.0910407 | − | 0.0661449i | ||||
\(631\) | −31.8074 | − | 23.1094i | −1.26623 | − | 0.919972i | −0.267186 | − | 0.963645i | \(-0.586094\pi\) |
−0.999046 | + | 0.0436732i | \(0.986094\pi\) | |||||||
\(632\) | −3.95872 | − | 12.1837i | −0.157469 | − | 0.484641i | ||||
\(633\) | −1.71859 | − | 5.28927i | −0.0683078 | − | 0.210230i | ||||
\(634\) | 22.3147 | + | 16.2126i | 0.886230 | + | 0.643884i | ||||
\(635\) | 2.05657 | − | 1.49419i | 0.0816126 | − | 0.0592950i | ||||
\(636\) | 1.46898 | − | 4.52106i | 0.0582489 | − | 0.179272i | ||||
\(637\) | −5.30073 | −0.210022 | ||||||||
\(638\) | −5.09361 | − | 19.1602i | −0.201658 | − | 0.758561i | ||||
\(639\) | 33.7103 | 1.33356 | ||||||||
\(640\) | 0.309017 | − | 0.951057i | 0.0122150 | − | 0.0375938i | ||||
\(641\) | −26.7079 | + | 19.4044i | −1.05490 | + | 0.766428i | −0.973138 | − | 0.230224i | \(-0.926054\pi\) |
−0.0817596 | + | 0.996652i | \(0.526054\pi\) | |||||||
\(642\) | 3.27262 | + | 2.37770i | 0.129160 | + | 0.0938402i | ||||
\(643\) | 0.0398262 | + | 0.122572i | 0.00157059 | + | 0.00483378i | 0.951839 | − | 0.306599i | \(-0.0991911\pi\) |
−0.950268 | + | 0.311433i | \(0.899191\pi\) | |||||||
\(644\) | 0.735065 | + | 2.26230i | 0.0289656 | + | 0.0891470i | ||||
\(645\) | 1.29825 | + | 0.943232i | 0.0511184 | + | 0.0371397i | ||||
\(646\) | −1.13752 | + | 0.826456i | −0.0447551 | + | 0.0325165i | ||||
\(647\) | 9.88369 | − | 30.4189i | 0.388568 | − | 1.19589i | −0.545291 | − | 0.838247i | \(-0.683581\pi\) |
0.933859 | − | 0.357642i | \(-0.116419\pi\) | |||||||
\(648\) | 7.45166 | 0.292729 | ||||||||
\(649\) | 2.14137 | − | 1.38464i | 0.0840562 | − | 0.0543520i | ||||
\(650\) | −5.30073 | −0.207912 | ||||||||
\(651\) | −0.303317 | + | 0.933515i | −0.0118879 | + | 0.0365873i | ||||
\(652\) | 8.89150 | − | 6.46005i | 0.348218 | − | 0.252995i | ||||
\(653\) | 24.2866 | + | 17.6452i | 0.950407 | + | 0.690511i | 0.950903 | − | 0.309489i | \(-0.100158\pi\) |
−0.000496442 | 1.00000i | \(0.500158\pi\) | ||||||||
\(654\) | 0.766061 | + | 2.35769i | 0.0299554 | + | 0.0921931i | ||||
\(655\) | 2.41186 | + | 7.42295i | 0.0942392 | + | 0.290038i | ||||
\(656\) | 1.23930 | + | 0.900404i | 0.0483866 | + | 0.0351549i | ||||
\(657\) | 16.6470 | − | 12.0947i | 0.649460 | − | 0.471860i | ||||
\(658\) | −0.464893 | + | 1.43079i | −0.0181234 | + | 0.0557782i | ||||
\(659\) | −19.3178 | −0.752515 | −0.376258 | − | 0.926515i | \(-0.622789\pi\) | ||||
−0.376258 | + | 0.926515i | \(0.622789\pi\) | |||||||
\(660\) | 1.38721 | + | 0.0754362i | 0.0539970 | + | 0.00293635i | ||||
\(661\) | −0.389498 | −0.0151497 | −0.00757487 | − | 0.999971i | \(-0.502411\pi\) | ||||
−0.00757487 | + | 0.999971i | \(0.502411\pi\) | |||||||
\(662\) | 10.3396 | − | 31.8219i | 0.401858 | − | 1.23679i | ||||
\(663\) | −2.65168 | + | 1.92655i | −0.102983 | + | 0.0748212i | ||||
\(664\) | −4.96353 | − | 3.60622i | −0.192622 | − | 0.139948i | ||||
\(665\) | 0.294336 | + | 0.905872i | 0.0114139 | + | 0.0351282i | ||||
\(666\) | −0.0195537 | − | 0.0601801i | −0.000757690 | − | 0.00233193i | ||||
\(667\) | −11.5036 | − | 8.35785i | −0.445421 | − | 0.323617i | ||||
\(668\) | −3.44852 | + | 2.50550i | −0.133427 | + | 0.0969407i | ||||
\(669\) | 1.37402 | − | 4.22881i | 0.0531228 | − | 0.163495i | ||||
\(670\) | 12.1841 | 0.470712 | ||||||||
\(671\) | −26.6929 | − | 1.45156i | −1.03047 | − | 0.0560368i | ||||
\(672\) | −0.418877 | −0.0161585 | ||||||||
\(673\) | 9.80809 | − | 30.1862i | 0.378074 | − | 1.16359i | −0.563307 | − | 0.826248i | \(-0.690471\pi\) |
0.941381 | − | 0.337345i | \(-0.109529\pi\) | |||||||
\(674\) | −12.8856 | + | 9.36196i | −0.496336 | + | 0.360609i | ||||
\(675\) | −1.97381 | − | 1.43406i | −0.0759721 | − | 0.0551970i | ||||
\(676\) | 4.66544 | + | 14.3588i | 0.179440 | + | 0.552260i | ||||
\(677\) | 13.0314 | + | 40.1066i | 0.500839 | + | 1.54142i | 0.807656 | + | 0.589655i | \(0.200736\pi\) |
−0.306817 | + | 0.951769i | \(0.599264\pi\) | |||||||
\(678\) | 4.26841 | + | 3.10118i | 0.163927 | + | 0.119100i | ||||
\(679\) | −14.9557 | + | 10.8659i | −0.573946 | + | 0.416996i | ||||
\(680\) | 0.456166 | − | 1.40393i | 0.0174932 | − | 0.0538384i | ||||
\(681\) | 10.2175 | 0.391536 | ||||||||
\(682\) | 6.52633 | − | 4.22003i | 0.249906 | − | 0.161593i | ||||
\(683\) | −22.4212 | −0.857923 | −0.428961 | − | 0.903323i | \(-0.641120\pi\) | ||||
−0.428961 | + | 0.903323i | \(0.641120\pi\) | |||||||
\(684\) | −0.831364 | + | 2.55867i | −0.0317880 | + | 0.0978333i | ||||
\(685\) | −15.9759 | + | 11.6072i | −0.610409 | + | 0.443488i | ||||
\(686\) | −0.809017 | − | 0.587785i | −0.0308884 | − | 0.0224417i | ||||
\(687\) | −1.46014 | − | 4.49386i | −0.0557079 | − | 0.171451i | ||||
\(688\) | 1.18385 | + | 3.64350i | 0.0451337 | + | 0.138907i | ||||
\(689\) | −48.6676 | − | 35.3591i | −1.85409 | − | 1.34707i | ||||
\(690\) | 0.806097 | − | 0.585664i | 0.0306876 | − | 0.0222958i | ||||
\(691\) | −6.59469 | + | 20.2964i | −0.250874 | + | 0.772110i | 0.743741 | + | 0.668468i | \(0.233050\pi\) |
−0.994615 | + | 0.103642i | \(0.966950\pi\) | |||||||
\(692\) | 21.8753 | 0.831575 | ||||||||
\(693\) | 2.40680 | + | 9.05349i | 0.0914269 | + | 0.343914i | ||||
\(694\) | 19.0799 | 0.724264 | ||||||||
\(695\) | 4.10976 | − | 12.6485i | 0.155892 | − | 0.479787i | ||||
\(696\) | 2.02571 | − | 1.47176i | 0.0767843 | − | 0.0557871i | ||||
\(697\) | 1.82944 | + | 1.32916i | 0.0692948 | + | 0.0503456i | ||||
\(698\) | −5.35992 | − | 16.4961i | −0.202876 | − | 0.624388i | ||||
\(699\) | −1.18904 | − | 3.65950i | −0.0449737 | − | 0.138415i | ||||
\(700\) | −0.809017 | − | 0.587785i | −0.0305780 | − | 0.0222162i | ||||
\(701\) | 18.1943 | − | 13.2189i | 0.687189 | − | 0.499272i | −0.188546 | − | 0.982064i | \(-0.560377\pi\) |
0.875735 | + | 0.482792i | \(0.160377\pi\) | |||||||
\(702\) | −3.99638 | + | 12.2996i | −0.150833 | + | 0.464218i | ||||
\(703\) | 0.0213383 | 0.000804788 | ||||||||
\(704\) | 2.57339 | + | 2.09228i | 0.0969884 | + | 0.0788559i | ||||
\(705\) | 0.630170 | 0.0237336 | ||||||||
\(706\) | −7.18609 | + | 22.1165i | −0.270452 | + | 0.832366i | ||||
\(707\) | −7.21750 | + | 5.24382i | −0.271442 | + | 0.197214i | ||||
\(708\) | 0.260553 | + | 0.189303i | 0.00979216 | + | 0.00711442i | ||||
\(709\) | −11.9417 | − | 36.7528i | −0.448480 | − | 1.38028i | −0.878622 | − | 0.477518i | \(-0.841536\pi\) |
0.430142 | − | 0.902761i | \(-0.358464\pi\) | |||||||
\(710\) | −3.68805 | − | 11.3507i | −0.138410 | − | 0.425983i | ||||
\(711\) | −29.2737 | − | 21.2686i | −1.09785 | − | 0.797635i | ||||
\(712\) | −10.8890 | + | 7.91135i | −0.408084 | + | 0.296490i | ||||
\(713\) | 1.72248 | − | 5.30124i | 0.0645073 | − | 0.198533i | ||||
\(714\) | −0.618340 | −0.0231408 | ||||||||
\(715\) | 6.33256 | − | 16.4004i | 0.236824 | − | 0.613340i | ||||
\(716\) | 12.0148 | 0.449014 | ||||||||
\(717\) | 0.395164 | − | 1.21619i | 0.0147577 | − | 0.0454194i | ||||
\(718\) | 0.161926 | − | 0.117646i | 0.00604302 | − | 0.00439051i | ||||
\(719\) | −13.8528 | − | 10.0646i | −0.516622 | − | 0.375348i | 0.298708 | − | 0.954345i | \(-0.403444\pi\) |
−0.815330 | + | 0.578997i | \(0.803444\pi\) | |||||||
\(720\) | −0.872831 | − | 2.68630i | −0.0325285 | − | 0.100112i | ||||
\(721\) | −3.81285 | − | 11.7347i | −0.141998 | − | 0.437024i | ||||
\(722\) | 14.6374 | + | 10.6347i | 0.544746 | + | 0.395781i | ||||
\(723\) | −1.78861 | + | 1.29950i | −0.0665190 | + | 0.0483289i | ||||
\(724\) | −6.50856 | + | 20.0313i | −0.241889 | + | 0.744456i | ||||
\(725\) | 5.97768 | 0.222006 | ||||||||
\(726\) | −1.89064 | + | 4.20189i | −0.0701682 | + | 0.155947i | ||||
\(727\) | −21.9967 | −0.815811 | −0.407906 | − | 0.913024i | \(-0.633741\pi\) | ||||
−0.407906 | + | 0.913024i | \(0.633741\pi\) | |||||||
\(728\) | −1.63801 | + | 5.04129i | −0.0607089 | + | 0.186843i | ||||
\(729\) | 14.5475 | − | 10.5693i | 0.538795 | − | 0.391457i | ||||
\(730\) | −5.89369 | − | 4.28201i | −0.218135 | − | 0.158484i | ||||
\(731\) | 1.74757 | + | 5.37848i | 0.0646364 | + | 0.198930i | ||||
\(732\) | −1.04330 | − | 3.21096i | −0.0385616 | − | 0.118680i | ||||
\(733\) | −10.5417 | − | 7.65898i | −0.389366 | − | 0.282891i | 0.375830 | − | 0.926689i | \(-0.377358\pi\) |
−0.765196 | + | 0.643798i | \(0.777358\pi\) | |||||||
\(734\) | −10.5470 | + | 7.66285i | −0.389297 | + | 0.282841i | ||||
\(735\) | −0.129440 | + | 0.398376i | −0.00477447 | + | 0.0146943i | ||||
\(736\) | 2.37872 | 0.0876807 | ||||||||
\(737\) | −14.5558 | + | 37.6974i | −0.536170 | + | 1.38860i | ||||
\(738\) | 4.32680 | 0.159272 | ||||||||
\(739\) | −5.35908 | + | 16.4936i | −0.197137 | + | 0.606725i | 0.802808 | + | 0.596238i | \(0.203338\pi\) |
−0.999945 | + | 0.0104876i | \(0.996662\pi\) | |||||||
\(740\) | −0.0181241 | + | 0.0131679i | −0.000666255 | + | 0.000484062i | ||||
\(741\) | −1.71096 | − | 1.24309i | −0.0628538 | − | 0.0456659i | ||||
\(742\) | −3.50695 | − | 10.7933i | −0.128744 | − | 0.396234i | ||||
\(743\) | −8.44918 | − | 26.0039i | −0.309970 | − | 0.953990i | −0.977776 | − | 0.209654i | \(-0.932766\pi\) |
0.667805 | − | 0.744336i | \(-0.267234\pi\) | |||||||
\(744\) | 0.794095 | + | 0.576944i | 0.0291129 | + | 0.0211518i | ||||
\(745\) | −3.19884 | + | 2.32409i | −0.117196 | + | 0.0851481i | ||||
\(746\) | 5.00328 | − | 15.3985i | 0.183183 | − | 0.563780i | ||||
\(747\) | −17.3293 | −0.634046 | ||||||||
\(748\) | 3.79880 | + | 3.08860i | 0.138898 | + | 0.112930i | ||||
\(749\) | 9.65719 | 0.352866 | ||||||||
\(750\) | −0.129440 | + | 0.398376i | −0.00472649 | + | 0.0145466i | ||||
\(751\) | 30.4820 | − | 22.1465i | 1.11231 | − | 0.808137i | 0.129280 | − | 0.991608i | \(-0.458733\pi\) |
0.983025 | + | 0.183471i | \(0.0587333\pi\) | |||||||
\(752\) | 1.21711 | + | 0.884279i | 0.0443833 | + | 0.0322464i | ||||
\(753\) | 0.274156 | + | 0.843764i | 0.00999078 | + | 0.0307485i | ||||
\(754\) | −9.79153 | − | 30.1352i | −0.356587 | − | 1.09746i | ||||
\(755\) | 7.61740 | + | 5.53437i | 0.277226 | + | 0.201416i | ||||
\(756\) | −1.97381 | + | 1.43406i | −0.0717869 | + | 0.0521562i | ||||
\(757\) | −2.62553 | + | 8.08054i | −0.0954264 | + | 0.293692i | −0.987365 | − | 0.158465i | \(-0.949345\pi\) |
0.891938 | + | 0.452157i | \(0.149345\pi\) | |||||||
\(758\) | 38.0576 | 1.38231 | ||||||||
\(759\) | 0.849029 | + | 3.19373i | 0.0308178 | + | 0.115925i | ||||
\(760\) | 0.952490 | 0.0345505 | ||||||||
\(761\) | 4.55876 | − | 14.0304i | 0.165255 | − | 0.508603i | −0.833800 | − | 0.552067i | \(-0.813839\pi\) |
0.999055 | + | 0.0434639i | \(0.0138394\pi\) | |||||||
\(762\) | −0.861451 | + | 0.625881i | −0.0312071 | + | 0.0226733i | ||||
\(763\) | 4.78798 | + | 3.47867i | 0.173336 | + | 0.125936i | ||||
\(764\) | −2.35142 | − | 7.23692i | −0.0850713 | − | 0.261823i | ||||
\(765\) | −1.28846 | − | 3.96547i | −0.0465844 | − | 0.143372i | ||||
\(766\) | 2.64544 | + | 1.92202i | 0.0955836 | + | 0.0694455i | ||||
\(767\) | 3.29719 | − | 2.39555i | 0.119055 | − | 0.0864982i | ||||
\(768\) | −0.129440 | + | 0.398376i | −0.00467077 | + | 0.0143752i | ||||
\(769\) | 39.2157 | 1.41415 | 0.707077 | − | 0.707136i | \(-0.250013\pi\) | ||||
0.707077 | + | 0.707136i | \(0.250013\pi\) | |||||||
\(770\) | 2.78510 | − | 1.80089i | 0.100368 | − | 0.0648996i | ||||
\(771\) | 11.2365 | 0.404672 | ||||||||
\(772\) | 6.37403 | − | 19.6173i | 0.229406 | − | 0.706040i | ||||
\(773\) | −1.02581 | + | 0.745296i | −0.0368959 | + | 0.0268064i | −0.606080 | − | 0.795403i | \(-0.707259\pi\) |
0.569184 | + | 0.822210i | \(0.307259\pi\) | |||||||
\(774\) | 8.75424 | + | 6.36033i | 0.314665 | + | 0.228617i | ||||
\(775\) | 0.724120 | + | 2.22861i | 0.0260112 | + | 0.0800541i | ||||
\(776\) | 5.71255 | + | 17.5814i | 0.205069 | + | 0.631137i | ||||
\(777\) | 0.00759177 | + | 0.00551574i | 0.000272353 | + | 0.000197876i | ||||
\(778\) | 24.2783 | − | 17.6392i | 0.870420 | − | 0.632397i | ||||
\(779\) | −0.450881 | + | 1.38767i | −0.0161545 | + | 0.0497184i | ||||
\(780\) | 2.22035 | 0.0795014 | ||||||||
\(781\) | 39.5248 | + | 2.14935i | 1.41431 | + | 0.0769099i | ||||
\(782\) | 3.51143 | 0.125568 | ||||||||
\(783\) | 4.50675 | − | 13.8704i | 0.161058 | − | 0.495686i | ||||
\(784\) | −0.809017 | + | 0.587785i | −0.0288935 | + | 0.0209923i | ||||
\(785\) | 6.97674 | + | 5.06890i | 0.249010 | + | 0.180917i | ||||
\(786\) | −1.01027 | − | 3.10930i | −0.0360353 | − | 0.110905i | ||||
\(787\) | 7.64659 | + | 23.5338i | 0.272572 | + | 0.838889i | 0.989852 | + | 0.142104i | \(0.0453868\pi\) |
−0.717280 | + | 0.696785i | \(0.754613\pi\) | |||||||
\(788\) | 8.20148 | + | 5.95872i | 0.292166 | + | 0.212271i | ||||
\(789\) | −2.94209 | + | 2.13756i | −0.104741 | + | 0.0760990i | ||||
\(790\) | −3.95872 | + | 12.1837i | −0.140845 | + | 0.433476i | ||||
\(791\) | 12.5957 | 0.447851 | ||||||||
\(792\) | 9.35412 | + | 0.508676i | 0.332384 | + | 0.0180750i | ||||
\(793\) | −42.7245 | −1.51719 | ||||||||
\(794\) | 4.79121 | − | 14.7458i | 0.170034 | − | 0.523310i | ||||
\(795\) | −3.84584 | + | 2.79417i | −0.136398 | + | 0.0990990i | ||||
\(796\) | −18.3352 | − | 13.3213i | −0.649875 | − | 0.472162i | ||||
\(797\) | −7.52049 | − | 23.1457i | −0.266389 | − | 0.819862i | −0.991370 | − | 0.131093i | \(-0.958151\pi\) |
0.724981 | − | 0.688769i | \(-0.241849\pi\) | |||||||
\(798\) | −0.123291 | − | 0.379449i | −0.00436444 | − | 0.0134324i | ||||
\(799\) | 1.79667 | + | 1.30536i | 0.0635617 | + | 0.0461803i | ||||
\(800\) | −0.809017 | + | 0.587785i | −0.0286031 | + | 0.0207813i | ||||
\(801\) | −11.7480 | + | 36.1565i | −0.415093 | + | 1.27753i | ||||
\(802\) | −5.70472 | −0.201441 | ||||||||
\(803\) | 20.2895 | − | 13.1195i | 0.715999 | − | 0.462976i | ||||
\(804\) | −5.10363 | −0.179991 | ||||||||
\(805\) | 0.735065 | − | 2.26230i | 0.0259076 | − | 0.0797355i | ||||
\(806\) | 10.0490 | − | 7.30100i | 0.353960 | − | 0.257167i | ||||
\(807\) | −3.88452 | − | 2.82227i | −0.136742 | − | 0.0993486i | ||||
\(808\) | 2.75684 | + | 8.48467i | 0.0969852 | + | 0.298490i | ||||
\(809\) | −12.8336 | − | 39.4978i | −0.451206 | − | 1.38867i | −0.875532 | − | 0.483160i | \(-0.839489\pi\) |
0.424326 | − | 0.905509i | \(-0.360511\pi\) | |||||||
\(810\) | −6.02852 | − | 4.37998i | −0.211821 | − | 0.153897i | ||||
\(811\) | −36.0647 | + | 26.2025i | −1.26640 | + | 0.920096i | −0.999053 | − | 0.0435039i | \(-0.986148\pi\) |
−0.267350 | + | 0.963600i | \(0.586148\pi\) | |||||||
\(812\) | 1.84721 | − | 5.68511i | 0.0648242 | − | 0.199508i | ||||
\(813\) | −7.20089 | −0.252546 | ||||||||
\(814\) | −0.0190894 | − | 0.0718070i | −0.000669082 | − | 0.00251683i | ||||
\(815\) | −10.9905 | −0.384980 | ||||||||
\(816\) | −0.191078 | + | 0.588076i | −0.00668905 | + | 0.0205868i | ||||
\(817\) | −2.95210 | + | 2.14483i | −0.103281 | + | 0.0750380i | ||||
\(818\) | −1.04199 | − | 0.757049i | −0.0364323 | − | 0.0264696i | ||||
\(819\) | 4.62664 | + | 14.2393i | 0.161668 | + | 0.497563i | ||||
\(820\) | −0.473371 | − | 1.45689i | −0.0165308 | − | 0.0508766i | ||||
\(821\) | 14.6120 | + | 10.6162i | 0.509962 | + | 0.370509i | 0.812809 | − | 0.582530i | \(-0.197937\pi\) |
−0.302847 | + | 0.953039i | \(0.597937\pi\) | |||||||
\(822\) | 6.69195 | − | 4.86199i | 0.233409 | − | 0.169581i | ||||
\(823\) | 17.2597 | − | 53.1200i | 0.601636 | − | 1.85165i | 0.0831945 | − | 0.996533i | \(-0.473488\pi\) |
0.518442 | − | 0.855113i | \(-0.326512\pi\) | |||||||
\(824\) | −12.3386 | −0.429836 | ||||||||
\(825\) | −1.07794 | − | 0.876410i | −0.0375289 | − | 0.0305127i | ||||
\(826\) | 0.768866 | 0.0267523 | ||||||||
\(827\) | −14.9679 | + | 46.0664i | −0.520484 | + | 1.60188i | 0.252593 | + | 0.967573i | \(0.418717\pi\) |
−0.773077 | + | 0.634312i | \(0.781283\pi\) | |||||||
\(828\) | 5.43562 | − | 3.94921i | 0.188901 | − | 0.137244i | ||||
\(829\) | −12.6866 | − | 9.21739i | −0.440625 | − | 0.320133i | 0.345258 | − | 0.938508i | \(-0.387791\pi\) |
−0.785883 | + | 0.618375i | \(0.787791\pi\) | |||||||
\(830\) | 1.89590 | + | 5.83498i | 0.0658077 | + | 0.202535i | ||||
\(831\) | −1.96820 | − | 6.05750i | −0.0682762 | − | 0.210132i | ||||
\(832\) | 4.28838 | + | 3.11569i | 0.148673 | + | 0.108017i | ||||
\(833\) | −1.19426 | + | 0.867679i | −0.0413786 | + | 0.0300633i | ||||
\(834\) | −1.72149 | + | 5.29819i | −0.0596102 | + | 0.183461i | ||||
\(835\) | 4.26261 | 0.147514 | ||||||||
\(836\) | −1.13790 | + | 2.94700i | −0.0393551 | + | 0.101924i | ||||
\(837\) | 5.71711 | 0.197612 | ||||||||
\(838\) | 11.2139 | − | 34.5128i | 0.387377 | − | 1.19222i | ||||
\(839\) | 18.4409 | − | 13.3981i | 0.636652 | − | 0.462554i | −0.222047 | − | 0.975036i | \(-0.571274\pi\) |
0.858698 | + | 0.512482i | \(0.171274\pi\) | |||||||
\(840\) | 0.338879 | + | 0.246210i | 0.0116924 | + | 0.00849505i | ||||
\(841\) | 2.08052 | + | 6.40317i | 0.0717419 | + | 0.220799i | ||||
\(842\) | −4.14211 | − | 12.7481i | −0.142747 | − | 0.439329i | ||||
\(843\) | −0.811529 | − | 0.589610i | −0.0279505 | − | 0.0203073i | ||||
\(844\) | −10.7414 | + | 7.80408i | −0.369734 | + | 0.268627i | ||||
\(845\) | 4.66544 | − | 14.3588i | 0.160496 | − | 0.493956i | ||||
\(846\) | 4.24931 | 0.146094 | ||||||||
\(847\) | 2.24469 | + | 10.7685i | 0.0771286 | + | 0.370011i | ||||
\(848\) | −11.3487 | −0.389717 | ||||||||
\(849\) | 1.55613 | − | 4.78927i | 0.0534061 | − | 0.164367i | ||||
\(850\) | −1.19426 | + | 0.867679i | −0.0409627 | + | 0.0297612i | ||||
\(851\) | −0.0431121 | − | 0.0313228i | −0.00147786 | − | 0.00107373i | ||||
\(852\) | 1.54484 | + | 4.75453i | 0.0529254 | + | 0.162888i | ||||
\(853\) | 4.14215 | + | 12.7482i | 0.141824 | + | 0.436490i | 0.996589 | − | 0.0825254i | \(-0.0262986\pi\) |
−0.854765 | + | 0.519016i | \(0.826299\pi\) | |||||||
\(854\) | −6.52077 | − | 4.73762i | −0.223136 | − | 0.162118i | ||||
\(855\) | 2.17654 | − | 1.58135i | 0.0744360 | − | 0.0540809i | ||||
\(856\) | 2.98424 | − | 9.18454i | 0.101999 | − | 0.313921i | ||||
\(857\) | 6.20533 | 0.211970 | 0.105985 | − | 0.994368i | \(-0.466200\pi\) | ||||
0.105985 | + | 0.994368i | \(0.466200\pi\) | |||||||
\(858\) | −2.65256 | + | 6.86976i | −0.0905571 | + | 0.234530i | ||||
\(859\) | −34.2020 | −1.16696 | −0.583479 | − | 0.812128i | \(-0.698309\pi\) | ||||
−0.583479 | + | 0.812128i | \(0.698309\pi\) | |||||||
\(860\) | 1.18385 | − | 3.64350i | 0.0403688 | − | 0.124242i | ||||
\(861\) | −0.519115 | + | 0.377159i | −0.0176914 | + | 0.0128535i | ||||
\(862\) | −1.93100 | − | 1.40295i | −0.0657700 | − | 0.0477847i | ||||
\(863\) | −4.00549 | − | 12.3276i | −0.136349 | − | 0.419638i | 0.859449 | − | 0.511222i | \(-0.170807\pi\) |
−0.995797 | + | 0.0915840i | \(0.970807\pi\) | |||||||
\(864\) | 0.753930 | + | 2.32036i | 0.0256492 | + | 0.0789402i | ||||
\(865\) | −17.6975 | − | 12.8580i | −0.601733 | − | 0.437185i | ||||
\(866\) | 18.3387 | − | 13.3238i | 0.623173 | − | 0.452762i | ||||
\(867\) | 1.91842 | − | 5.90428i | 0.0651529 | − | 0.200520i | ||||
\(868\) | 2.34330 | 0.0795368 | ||||||||
\(869\) | −32.9669 | − | 26.8036i | −1.11833 | − | 0.909249i | ||||
\(870\) | −2.50392 | −0.0848907 | ||||||||
\(871\) | −19.9577 | + | 61.4234i | −0.676240 | + | 2.08125i | ||||
\(872\) | 4.78798 | − | 3.47867i | 0.162141 | − | 0.117803i | ||||
\(873\) | 42.2429 | + | 30.6913i | 1.42971 | + | 1.03874i | ||||
\(874\) | 0.700142 | + | 2.15482i | 0.0236827 | + | 0.0728877i | ||||
\(875\) | 0.309017 | + | 0.951057i | 0.0104467 | + | 0.0321516i | ||||
\(876\) | 2.46873 | + | 1.79364i | 0.0834107 | + | 0.0606014i | ||||
\(877\) | −4.89848 | + | 3.55895i | −0.165410 | + | 0.120177i | −0.667411 | − | 0.744690i | \(-0.732597\pi\) |
0.502001 | + | 0.864867i | \(0.332597\pi\) | |||||||
\(878\) | 5.49668 | − | 16.9170i | 0.185504 | − | 0.570923i | ||||
\(879\) | −4.70920 | −0.158837 | ||||||||
\(880\) | −0.852104 | − | 3.20530i | −0.0287244 | − | 0.108050i | ||||
\(881\) | −19.9937 | −0.673605 | −0.336803 | − | 0.941575i | \(-0.609346\pi\) | ||||
−0.336803 | + | 0.941575i | \(0.609346\pi\) | |||||||
\(882\) | −0.872831 | + | 2.68630i | −0.0293898 | + | 0.0904524i | ||||
\(883\) | 5.99261 | − | 4.35388i | 0.201667 | − | 0.146520i | −0.482368 | − | 0.875969i | \(-0.660223\pi\) |
0.684036 | + | 0.729449i | \(0.260223\pi\) | |||||||
\(884\) | 6.33043 | + | 4.59933i | 0.212916 | + | 0.154692i | ||||
\(885\) | −0.0995222 | − | 0.306298i | −0.00334540 | − | 0.0102961i | ||||
\(886\) | −7.44465 | − | 22.9123i | −0.250108 | − | 0.769753i | ||||
\(887\) | −46.7849 | − | 33.9912i | −1.57088 | − | 1.14131i | −0.926303 | − | 0.376778i | \(-0.877032\pi\) |
−0.644581 | − | 0.764536i | \(-0.722968\pi\) | |||||||
\(888\) | 0.00759177 | − | 0.00551574i | 0.000254763 | − | 0.000185096i | ||||
\(889\) | −0.785541 | + | 2.41765i | −0.0263462 | + | 0.0810852i | ||||
\(890\) | 13.4596 | 0.451166 | ||||||||
\(891\) | 20.7536 | − | 13.4196i | 0.695273 | − | 0.449574i | ||||
\(892\) | −10.6151 | −0.355420 | ||||||||
\(893\) | −0.442806 | + | 1.36282i | −0.0148179 | + | 0.0456050i | ||||
\(894\) | 1.33992 | − | 0.973509i | 0.0448136 | − | 0.0325590i | ||||
\(895\) | −9.72018 | − | 7.06212i | −0.324910 | − | 0.236061i | ||||
\(896\) | 0.309017 | + | 0.951057i | 0.0103235 | + | 0.0317726i | ||||
\(897\) | 1.63210 | + | 5.02310i | 0.0544943 | + | 0.167716i | ||||
\(898\) | 4.91037 | + | 3.56759i | 0.163861 | + | 0.119052i | ||||
\(899\) | −11.3323 | + | 8.23341i | −0.377954 | + | 0.274600i | ||||
\(900\) | −0.872831 | + | 2.68630i | −0.0290944 | + | 0.0895433i | ||||
\(901\) | −16.7528 | −0.558117 | ||||||||
\(902\) | 5.07311 | + | 0.275875i | 0.168916 | + | 0.00918563i | ||||
\(903\) | −1.60472 | −0.0534018 | ||||||||
\(904\) | 3.89228 | − | 11.9792i | 0.129455 | − | 0.398423i | ||||
\(905\) | 17.0396 | − | 12.3800i | 0.566416 | − | 0.411525i | ||||
\(906\) | −3.19076 | − | 2.31822i | −0.106006 | − | 0.0770177i | ||||
\(907\) | −4.88400 | − | 15.0314i | −0.162171 | − | 0.499110i | 0.836646 | − | 0.547744i | \(-0.184513\pi\) |
−0.998817 | + | 0.0486340i | \(0.984513\pi\) | |||||||
\(908\) | −7.53773 | − | 23.1988i | −0.250148 | − | 0.769878i | ||||
\(909\) | 20.3861 | + | 14.8114i | 0.676165 | + | 0.491263i | ||||
\(910\) | 4.28838 | − | 3.11569i | 0.142158 | − | 0.103284i | ||||
\(911\) | −11.1357 | + | 34.2723i | −0.368943 | + | 1.13549i | 0.578531 | + | 0.815660i | \(0.303626\pi\) |
−0.947475 | + | 0.319831i | \(0.896374\pi\) | |||||||
\(912\) | −0.398977 | −0.0132114 | ||||||||
\(913\) | −20.3183 | − | 1.10491i | −0.672439 | − | 0.0365671i | ||||
\(914\) | 4.92065 | 0.162761 | ||||||||
\(915\) | −1.04330 | + | 3.21096i | −0.0344905 | + | 0.106151i | ||||
\(916\) | −9.12607 | + | 6.63048i | −0.301534 | + | 0.219077i | ||||
\(917\) | −6.31433 | − | 4.58763i | −0.208518 | − | 0.151497i | ||||
\(918\) | 1.11294 | + | 3.42527i | 0.0367325 | + | 0.113051i | ||||
\(919\) | −12.5047 | − | 38.4855i | −0.412492 | − | 1.26952i | −0.914475 | − | 0.404643i | \(-0.867396\pi\) |
0.501982 | − | 0.864878i | \(-0.332604\pi\) | |||||||
\(920\) | −1.92442 | − | 1.39818i | −0.0634464 | − | 0.0460965i | ||||
\(921\) | 8.50963 | − | 6.18261i | 0.280402 | − | 0.203724i | ||||
\(922\) | −10.4113 | + | 32.0428i | −0.342879 | + | 1.05527i | ||||
\(923\) | 63.2630 | 2.08233 | ||||||||
\(924\) | −1.16662 | + | 0.754352i | −0.0383788 | + | 0.0248164i | ||||
\(925\) | 0.0224026 | 0.000736593 | ||||||||
\(926\) | 0.698881 | − | 2.15093i | 0.0229667 | − | 0.0706841i | ||||
\(927\) | −28.1950 | + | 20.4849i | −0.926046 | + | 0.672812i | ||||
\(928\) | −4.83605 | − | 3.51359i | −0.158751 | − | 0.115339i | ||||
\(929\) | 9.15611 | + | 28.1796i | 0.300402 | + | 0.924543i | 0.981353 | + | 0.192214i | \(0.0615668\pi\) |
−0.680951 | + | 0.732329i | \(0.738433\pi\) | |||||||
\(930\) | −0.303317 | − | 0.933515i | −0.00994617 | − | 0.0306112i | ||||
\(931\) | −0.770581 | − | 0.559860i | −0.0252548 | − | 0.0183487i | ||||
\(932\) | −7.43166 | + | 5.39942i | −0.243432 | + | 0.176864i | ||||
\(933\) | 0.340109 | − | 1.04675i | 0.0111347 | − | 0.0342690i | ||||
\(934\) | 13.3924 | 0.438213 | ||||||||
\(935\) | −1.25786 | − | 4.73161i | −0.0411365 | − | 0.154740i | ||||
\(936\) | 14.9721 | 0.489379 | ||||||||
\(937\) | −2.56064 | + | 7.88083i | −0.0836523 | + | 0.257455i | −0.984131 | − | 0.177446i | \(-0.943217\pi\) |
0.900478 | + | 0.434901i | \(0.143217\pi\) | |||||||
\(938\) | −9.85712 | + | 7.16162i | −0.321846 | + | 0.233835i | ||||
\(939\) | 1.32202 | + | 0.960501i | 0.0431424 | + | 0.0313448i | ||||
\(940\) | −0.464893 | − | 1.43079i | −0.0151631 | − | 0.0466674i | ||||
\(941\) | 9.53598 | + | 29.3487i | 0.310864 | + | 0.956741i | 0.977424 | + | 0.211289i | \(0.0677662\pi\) |
−0.666560 | + | 0.745452i | \(0.732234\pi\) | |||||||
\(942\) | −2.92240 | − | 2.12325i | −0.0952168 | − | 0.0691791i | ||||
\(943\) | 2.94795 | − | 2.14181i | 0.0959984 | − | 0.0697469i | ||||
\(944\) | 0.237593 | − | 0.731235i | 0.00773299 | − | 0.0237997i | ||||
\(945\) | 2.43977 | 0.0793657 | ||||||||
\(946\) | 9.85868 | + | 8.01555i | 0.320533 | + | 0.260608i | ||||
\(947\) | 12.2671 | 0.398627 | 0.199313 | − | 0.979936i | \(-0.436129\pi\) | ||||
0.199313 | + | 0.979936i | \(0.436129\pi\) | |||||||
\(948\) | 1.65822 | − | 5.10347i | 0.0538564 | − | 0.165753i | ||||
\(949\) | 31.2408 | − | 22.6978i | 1.01412 | − | 0.736801i | ||||
\(950\) | −0.770581 | − | 0.559860i | −0.0250009 | − | 0.0181643i | ||||
\(951\) | 3.57028 | + | 10.9882i | 0.115774 | + | 0.356317i | ||||
\(952\) | 0.456166 | + | 1.40393i | 0.0147844 | + | 0.0455018i | ||||
\(953\) | 5.80849 | + | 4.22012i | 0.188156 | + | 0.136703i | 0.677875 | − | 0.735177i | \(-0.262901\pi\) |
−0.489720 | + | 0.871880i | \(0.662901\pi\) | |||||||
\(954\) | −25.9330 | + | 18.8414i | −0.839612 | + | 0.610014i | ||||
\(955\) | −2.35142 | + | 7.23692i | −0.0760901 | + | 0.234181i | ||||
\(956\) | −3.05287 | −0.0987368 | ||||||||
\(957\) | 2.99132 | − | 7.74710i | 0.0966958 | − | 0.250428i | ||||
\(958\) | 16.6637 | 0.538380 | ||||||||
\(959\) | 6.10226 | − | 18.7808i | 0.197052 | − | 0.606464i | ||||
\(960\) | 0.338879 | − | 0.246210i | 0.0109373 | − | 0.00794639i | ||||
\(961\) | 20.6372 | + | 14.9938i | 0.665715 | + | 0.483670i | ||||
\(962\) | −0.0366958 | − | 0.112938i | −0.00118312 | − | 0.00364127i | ||||
\(963\) | −8.42910 | − | 25.9421i | −0.271624 | − | 0.835973i | ||||
\(964\) | 4.27000 | + | 3.10234i | 0.137527 | + | 0.0999195i | ||||
\(965\) | −16.6874 | + | 12.1241i | −0.537187 | + | 0.390290i | ||||
\(966\) | −0.307902 | + | 0.947624i | −0.00990658 | + | 0.0304893i | ||||
\(967\) | 5.07937 | 0.163341 | 0.0816707 | − | 0.996659i | \(-0.473974\pi\) | ||||
0.0816707 | + | 0.996659i | \(0.473974\pi\) | |||||||
\(968\) | 10.9351 | + | 1.19283i | 0.351469 | + | 0.0383390i | ||||
\(969\) | −0.588963 | −0.0189202 | ||||||||
\(970\) | 5.71255 | − | 17.5814i | 0.183419 | − | 0.564506i | ||||
\(971\) | 32.6128 | − | 23.6946i | 1.04660 | − | 0.760397i | 0.0750338 | − | 0.997181i | \(-0.476094\pi\) |
0.971562 | + | 0.236784i | \(0.0760935\pi\) | |||||||
\(972\) | 8.44665 | + | 6.13685i | 0.270926 | + | 0.196840i | ||||
\(973\) | 4.10976 | + | 12.6485i | 0.131753 | + | 0.405494i | ||||
\(974\) | −3.92326 | − | 12.0746i | −0.125709 | − | 0.386894i | ||||
\(975\) | −1.79630 | − | 1.30509i | −0.0575278 | − | 0.0417964i | ||||
\(976\) | −6.52077 | + | 4.73762i | −0.208725 | + | 0.151647i | ||||
\(977\) | −8.69026 | + | 26.7459i | −0.278026 | + | 0.855676i | 0.710377 | + | 0.703821i | \(0.248524\pi\) |
−0.988403 | + | 0.151854i | \(0.951476\pi\) | |||||||
\(978\) | 4.60367 | 0.147209 | ||||||||
\(979\) | −16.0796 | + | 41.6439i | −0.513907 | + | 1.33094i | ||||
\(980\) | 1.00000 | 0.0319438 | ||||||||
\(981\) | 5.16565 | − | 15.8982i | 0.164926 | − | 0.507591i | ||||
\(982\) | −12.4906 | + | 9.07493i | −0.398590 | + | 0.289593i | ||||
\(983\) | −18.7429 | − | 13.6175i | −0.597805 | − | 0.434331i | 0.247294 | − | 0.968940i | \(-0.420459\pi\) |
−0.845099 | + | 0.534610i | \(0.820459\pi\) | |||||||
\(984\) | 0.198284 | + | 0.610256i | 0.00632107 | + | 0.0194542i | ||||
\(985\) | −3.13269 | − | 9.64141i | −0.0998157 | − | 0.307201i | ||||
\(986\) | −7.13890 | − | 5.18671i | −0.227349 | − | 0.165179i | ||||
\(987\) | −0.509818 | + | 0.370405i | −0.0162277 | + | 0.0117901i | ||||
\(988\) | −1.56019 | + | 4.80178i | −0.0496364 | + | 0.152765i | ||||
\(989\) | 9.11289 | 0.289773 | ||||||||
\(990\) | −7.26865 | − | 5.90974i | −0.231013 | − | 0.187824i | ||||
\(991\) | −33.5898 | −1.06701 | −0.533507 | − | 0.845795i | \(-0.679126\pi\) | ||||
−0.533507 | + | 0.845795i | \(0.679126\pi\) | |||||||
\(992\) | 0.724120 | − | 2.22861i | 0.0229908 | − | 0.0707585i | ||||
\(993\) | 11.3387 | − | 8.23806i | 0.359823 | − | 0.261427i | ||||
\(994\) | 9.65545 | + | 7.01509i | 0.306252 | + | 0.222505i | ||||
\(995\) | 7.00344 | + | 21.5544i | 0.222024 | + | 0.683319i | ||||
\(996\) | −0.794150 | − | 2.44414i | −0.0251636 | − | 0.0774456i | ||||
\(997\) | 18.3030 | + | 13.2979i | 0.579662 | + | 0.421149i | 0.838602 | − | 0.544744i | \(-0.183373\pi\) |
−0.258940 | + | 0.965893i | \(0.583373\pi\) | |||||||
\(998\) | 4.82943 | − | 3.50878i | 0.152873 | − | 0.111069i | ||||
\(999\) | 0.0168900 | − | 0.0519820i | 0.000534376 | − | 0.00164464i |
(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 | 770.2.n.i.141.2 | yes | 12 | |
11.4 | even | 5 | 8470.2.a.de.1.3 | 6 | |||
11.5 | even | 5 | inner | 770.2.n.i.71.2 | ✓ | 12 | |
11.7 | odd | 10 | 8470.2.a.cy.1.3 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.n.i.71.2 | ✓ | 12 | 11.5 | even | 5 | inner | |
770.2.n.i.141.2 | yes | 12 | 1.1 | even | 1 | trivial | |
8470.2.a.cy.1.3 | 6 | 11.7 | odd | 10 | |||
8470.2.a.de.1.3 | 6 | 11.4 | even | 5 |