Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(157,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.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: | \(3.42558224671\) |
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: | \( x^{12} - 3 x^{11} + 9 x^{10} - 15 x^{9} + 29 x^{8} - 26 x^{7} + 43 x^{6} + 24 x^{5} + 16 x^{4} - 17 x^{3} + 14 x^{2} - 5 x + 1 \) |
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 | 196.3 | ||
Root | \(0.622685 + 1.91643i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 429.196 |
Dual form | 429.2.n.a.313.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.622685 | − | 1.91643i | 0.440305 | − | 1.35512i | −0.447247 | − | 0.894411i | \(-0.647595\pi\) |
0.887552 | − | 0.460708i | \(-0.152405\pi\) | |||||||
\(3\) | −0.809017 | + | 0.587785i | −0.467086 | + | 0.339358i | ||||
\(4\) | −1.66692 | − | 1.21109i | −0.833461 | − | 0.605545i | ||||
\(5\) | −0.155663 | − | 0.479080i | −0.0696144 | − | 0.214251i | 0.910197 | − | 0.414176i | \(-0.135930\pi\) |
−0.979811 | + | 0.199925i | \(0.935930\pi\) | |||||||
\(6\) | 0.622685 | + | 1.91643i | 0.254210 | + | 0.782378i | ||||
\(7\) | 2.43923 | + | 1.77220i | 0.921941 | + | 0.669830i | 0.944006 | − | 0.329927i | \(-0.107024\pi\) |
−0.0220652 | + | 0.999757i | \(0.507024\pi\) | |||||||
\(8\) | −0.0985128 | + | 0.0715738i | −0.0348296 | + | 0.0253051i | ||||
\(9\) | 0.309017 | − | 0.951057i | 0.103006 | − | 0.317019i | ||||
\(10\) | −1.01505 | −0.320987 | ||||||||
\(11\) | 2.03498 | − | 2.61894i | 0.613569 | − | 0.789641i | ||||
\(12\) | 2.06043 | 0.594795 | ||||||||
\(13\) | 0.309017 | − | 0.951057i | 0.0857059 | − | 0.263776i | ||||
\(14\) | 4.91517 | − | 3.57108i | 1.31363 | − | 0.954411i | ||||
\(15\) | 0.407530 | + | 0.296088i | 0.105224 | + | 0.0764495i | ||||
\(16\) | −1.19759 | − | 3.68581i | −0.299398 | − | 0.921452i | ||||
\(17\) | −0.836357 | − | 2.57404i | −0.202846 | − | 0.624297i | −0.999795 | − | 0.0202499i | \(-0.993554\pi\) |
0.796949 | − | 0.604047i | \(-0.206446\pi\) | |||||||
\(18\) | −1.63021 | − | 1.18442i | −0.384244 | − | 0.279170i | ||||
\(19\) | −1.38208 | + | 1.00414i | −0.317070 | + | 0.230365i | −0.734924 | − | 0.678149i | \(-0.762782\pi\) |
0.417854 | + | 0.908514i | \(0.362782\pi\) | |||||||
\(20\) | −0.320732 | + | 0.987111i | −0.0717178 | + | 0.220725i | ||||
\(21\) | −3.01505 | −0.657938 | ||||||||
\(22\) | −3.75187 | − | 5.53066i | −0.799900 | − | 1.17914i | ||||
\(23\) | 1.83758 | 0.383162 | 0.191581 | − | 0.981477i | \(-0.438639\pi\) | ||||
0.191581 | + | 0.981477i | \(0.438639\pi\) | |||||||
\(24\) | 0.0376286 | − | 0.115809i | 0.00768090 | − | 0.0236394i | ||||
\(25\) | 3.83980 | − | 2.78978i | 0.767960 | − | 0.557955i | ||||
\(26\) | −1.63021 | − | 1.18442i | −0.319711 | − | 0.232283i | ||||
\(27\) | 0.309017 | + | 0.951057i | 0.0594703 | + | 0.183031i | ||||
\(28\) | −1.91971 | − | 5.90825i | −0.362790 | − | 1.11655i | ||||
\(29\) | −2.23832 | − | 1.62623i | −0.415646 | − | 0.301984i | 0.360238 | − | 0.932860i | \(-0.382696\pi\) |
−0.775883 | + | 0.630876i | \(0.782696\pi\) | |||||||
\(30\) | 0.821193 | − | 0.596632i | 0.149929 | − | 0.108930i | ||||
\(31\) | −3.02477 | + | 9.30929i | −0.543265 | + | 1.67200i | 0.181814 | + | 0.983333i | \(0.441803\pi\) |
−0.725079 | + | 0.688665i | \(0.758197\pi\) | |||||||
\(32\) | −8.05284 | −1.42356 | ||||||||
\(33\) | −0.106955 | + | 3.31490i | −0.0186184 | + | 0.577050i | ||||
\(34\) | −5.45375 | −0.935311 | ||||||||
\(35\) | 0.469330 | − | 1.44445i | 0.0793313 | − | 0.244157i | ||||
\(36\) | −1.66692 | + | 1.21109i | −0.277820 | + | 0.201848i | ||||
\(37\) | −0.248313 | − | 0.180410i | −0.0408224 | − | 0.0296592i | 0.567187 | − | 0.823589i | \(-0.308032\pi\) |
−0.608009 | + | 0.793930i | \(0.708032\pi\) | |||||||
\(38\) | 1.06376 | + | 3.27391i | 0.172564 | + | 0.531099i | ||||
\(39\) | 0.309017 | + | 0.951057i | 0.0494823 | + | 0.152291i | ||||
\(40\) | 0.0496243 | + | 0.0360542i | 0.00784629 | + | 0.00570067i | ||||
\(41\) | 4.08914 | − | 2.97093i | 0.638616 | − | 0.463982i | −0.220758 | − | 0.975329i | \(-0.570853\pi\) |
0.859375 | + | 0.511347i | \(0.170853\pi\) | |||||||
\(42\) | −1.87743 | + | 5.77813i | −0.289693 | + | 0.891584i | ||||
\(43\) | −1.76211 | −0.268720 | −0.134360 | − | 0.990933i | \(-0.542898\pi\) | ||||
−0.134360 | + | 0.990933i | \(0.542898\pi\) | |||||||
\(44\) | −6.56393 | + | 1.90104i | −0.989549 | + | 0.286592i | ||||
\(45\) | −0.503735 | −0.0750923 | ||||||||
\(46\) | 1.14423 | − | 3.52159i | 0.168708 | − | 0.519230i | ||||
\(47\) | 9.78758 | − | 7.11109i | 1.42767 | − | 1.03726i | 0.437220 | − | 0.899355i | \(-0.355963\pi\) |
0.990446 | − | 0.137905i | \(-0.0440367\pi\) | |||||||
\(48\) | 3.13534 | + | 2.27796i | 0.452547 | + | 0.328795i | ||||
\(49\) | 0.646010 | + | 1.98821i | 0.0922871 | + | 0.284030i | ||||
\(50\) | −2.95542 | − | 9.09585i | −0.417959 | − | 1.28635i | ||||
\(51\) | 2.18961 | + | 1.59085i | 0.306607 | + | 0.222763i | ||||
\(52\) | −1.66692 | + | 1.21109i | −0.231161 | + | 0.167948i | ||||
\(53\) | −3.19081 | + | 9.82031i | −0.438292 | + | 1.34892i | 0.451383 | + | 0.892330i | \(0.350931\pi\) |
−0.889675 | + | 0.456594i | \(0.849069\pi\) | |||||||
\(54\) | 2.01505 | 0.274214 | ||||||||
\(55\) | −1.57145 | − | 0.567246i | −0.211895 | − | 0.0764874i | ||||
\(56\) | −0.367138 | −0.0490609 | ||||||||
\(57\) | 0.527907 | − | 1.62473i | 0.0699229 | − | 0.215201i | ||||
\(58\) | −4.51033 | + | 3.27695i | −0.592235 | + | 0.430284i | ||||
\(59\) | −0.0976321 | − | 0.0709338i | −0.0127106 | − | 0.00923480i | 0.581412 | − | 0.813609i | \(-0.302501\pi\) |
−0.594122 | + | 0.804375i | \(0.702501\pi\) | |||||||
\(60\) | −0.320732 | − | 0.987111i | −0.0414063 | − | 0.127435i | ||||
\(61\) | 4.54367 | + | 13.9840i | 0.581757 | + | 1.79046i | 0.611920 | + | 0.790920i | \(0.290397\pi\) |
−0.0301626 | + | 0.999545i | \(0.509603\pi\) | |||||||
\(62\) | 15.9571 | + | 11.5935i | 2.02655 | + | 1.47238i | ||||
\(63\) | 2.43923 | − | 1.77220i | 0.307314 | − | 0.223277i | ||||
\(64\) | −2.61920 | + | 8.06107i | −0.327400 | + | 1.00763i | ||||
\(65\) | −0.503735 | −0.0624806 | ||||||||
\(66\) | 6.28616 | + | 2.26911i | 0.773773 | + | 0.279308i | ||||
\(67\) | −8.35118 | −1.02026 | −0.510129 | − | 0.860098i | \(-0.670402\pi\) | ||||
−0.510129 | + | 0.860098i | \(0.670402\pi\) | |||||||
\(68\) | −1.72326 | + | 5.30363i | −0.208975 | + | 0.643160i | ||||
\(69\) | −1.48663 | + | 1.08010i | −0.178970 | + | 0.130029i | ||||
\(70\) | −2.47594 | − | 1.79888i | −0.295931 | − | 0.215007i | ||||
\(71\) | 3.61346 | + | 11.1211i | 0.428839 | + | 1.31983i | 0.899270 | + | 0.437393i | \(0.144098\pi\) |
−0.470432 | + | 0.882436i | \(0.655902\pi\) | |||||||
\(72\) | 0.0376286 | + | 0.115809i | 0.00443457 | + | 0.0136482i | ||||
\(73\) | −4.71162 | − | 3.42319i | −0.551454 | − | 0.400654i | 0.276868 | − | 0.960908i | \(-0.410704\pi\) |
−0.828321 | + | 0.560254i | \(0.810704\pi\) | |||||||
\(74\) | −0.500364 | + | 0.363536i | −0.0581661 | + | 0.0422602i | ||||
\(75\) | −1.46667 | + | 4.51395i | −0.169357 | + | 0.521226i | ||||
\(76\) | 3.51992 | 0.403762 | ||||||||
\(77\) | 9.60507 | − | 2.78181i | 1.09460 | − | 0.317016i | ||||
\(78\) | 2.01505 | 0.228160 | ||||||||
\(79\) | 2.54366 | − | 7.82859i | 0.286184 | − | 0.880785i | −0.699857 | − | 0.714283i | \(-0.746753\pi\) |
0.986041 | − | 0.166502i | \(-0.0532472\pi\) | |||||||
\(80\) | −1.57938 | + | 1.14748i | −0.176580 | + | 0.128293i | ||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | −3.14733 | − | 9.68649i | −0.347565 | − | 1.06969i | ||||
\(83\) | 0.961299 | + | 2.95857i | 0.105516 | + | 0.324746i | 0.989851 | − | 0.142107i | \(-0.0453878\pi\) |
−0.884335 | + | 0.466853i | \(0.845388\pi\) | |||||||
\(84\) | 5.02586 | + | 3.65150i | 0.548366 | + | 0.398411i | ||||
\(85\) | −1.10298 | + | 0.801364i | −0.119635 | + | 0.0869202i | ||||
\(86\) | −1.09724 | + | 3.37696i | −0.118319 | + | 0.364147i | ||||
\(87\) | 2.76672 | 0.296623 | ||||||||
\(88\) | −0.0130237 | + | 0.403651i | −0.00138833 | + | 0.0430293i | ||||
\(89\) | −6.94532 | −0.736202 | −0.368101 | − | 0.929786i | \(-0.619992\pi\) | ||||
−0.368101 | + | 0.929786i | \(0.619992\pi\) | |||||||
\(90\) | −0.313668 | + | 0.965371i | −0.0330635 | + | 0.101759i | ||||
\(91\) | 2.43923 | − | 1.77220i | 0.255700 | − | 0.185777i | ||||
\(92\) | −3.06310 | − | 2.22547i | −0.319351 | − | 0.232022i | ||||
\(93\) | −3.02477 | − | 9.30929i | −0.313654 | − | 0.965329i | ||||
\(94\) | −7.53331 | − | 23.1852i | −0.777002 | − | 2.39137i | ||||
\(95\) | 0.696200 | + | 0.505819i | 0.0714286 | + | 0.0518959i | ||||
\(96\) | 6.51489 | − | 4.73334i | 0.664923 | − | 0.483095i | ||||
\(97\) | −4.98454 | + | 15.3408i | −0.506103 | + | 1.55762i | 0.292806 | + | 0.956172i | \(0.405411\pi\) |
−0.798909 | + | 0.601453i | \(0.794589\pi\) | |||||||
\(98\) | 4.21253 | 0.425529 | ||||||||
\(99\) | −1.86192 | − | 2.74468i | −0.187130 | − | 0.275850i | ||||
\(100\) | −9.77932 | −0.977932 | ||||||||
\(101\) | −3.64428 | + | 11.2159i | −0.362619 | + | 1.11603i | 0.588839 | + | 0.808250i | \(0.299585\pi\) |
−0.951458 | + | 0.307777i | \(0.900415\pi\) | |||||||
\(102\) | 4.41218 | − | 3.20564i | 0.436871 | − | 0.317405i | ||||
\(103\) | 2.19756 | + | 1.59662i | 0.216532 | + | 0.157320i | 0.690764 | − | 0.723080i | \(-0.257274\pi\) |
−0.474232 | + | 0.880400i | \(0.657274\pi\) | |||||||
\(104\) | 0.0376286 | + | 0.115809i | 0.00368978 | + | 0.0113560i | ||||
\(105\) | 0.469330 | + | 1.44445i | 0.0458020 | + | 0.140964i | ||||
\(106\) | 16.8330 | + | 12.2299i | 1.63497 | + | 1.18788i | ||||
\(107\) | −1.04252 | + | 0.757434i | −0.100784 | + | 0.0732239i | −0.637036 | − | 0.770834i | \(-0.719840\pi\) |
0.536252 | + | 0.844058i | \(0.319840\pi\) | |||||||
\(108\) | 0.636708 | − | 1.95958i | 0.0612672 | − | 0.188561i | ||||
\(109\) | −11.5355 | −1.10490 | −0.552448 | − | 0.833547i | \(-0.686306\pi\) | ||||
−0.552448 | + | 0.833547i | \(0.686306\pi\) | |||||||
\(110\) | −2.06561 | + | 2.65836i | −0.196948 | + | 0.253465i | ||||
\(111\) | 0.306932 | 0.0291327 | ||||||||
\(112\) | 3.61080 | − | 11.1129i | 0.341189 | − | 1.05007i | ||||
\(113\) | −1.81994 | + | 1.32227i | −0.171206 | + | 0.124388i | −0.670089 | − | 0.742281i | \(-0.733744\pi\) |
0.498883 | + | 0.866670i | \(0.333744\pi\) | |||||||
\(114\) | −2.78496 | − | 2.02339i | −0.260835 | − | 0.189508i | ||||
\(115\) | −0.286042 | − | 0.880348i | −0.0266736 | − | 0.0820929i | ||||
\(116\) | 1.76159 | + | 5.42161i | 0.163559 | + | 0.503384i | ||||
\(117\) | −0.809017 | − | 0.587785i | −0.0747936 | − | 0.0543408i | ||||
\(118\) | −0.196734 | + | 0.142935i | −0.0181108 | + | 0.0131583i | ||||
\(119\) | 2.52166 | − | 7.76087i | 0.231160 | − | 0.711438i | ||||
\(120\) | −0.0613390 | −0.00559946 | ||||||||
\(121\) | −2.71773 | − | 10.6590i | −0.247067 | − | 0.968998i | ||||
\(122\) | 29.6285 | 2.68244 | ||||||||
\(123\) | −1.56191 | + | 4.80707i | −0.140833 | + | 0.433439i | ||||
\(124\) | 16.3165 | − | 11.8546i | 1.46526 | − | 1.06457i | ||||
\(125\) | −3.97189 | − | 2.88575i | −0.355256 | − | 0.258109i | ||||
\(126\) | −1.87743 | − | 5.77813i | −0.167254 | − | 0.514756i | ||||
\(127\) | 3.95908 | + | 12.1848i | 0.351311 | + | 1.08122i | 0.958118 | + | 0.286375i | \(0.0924503\pi\) |
−0.606806 | + | 0.794850i | \(0.707550\pi\) | |||||||
\(128\) | 0.787743 | + | 0.572329i | 0.0696273 | + | 0.0505872i | ||||
\(129\) | 1.42558 | − | 1.03574i | 0.125515 | − | 0.0911922i | ||||
\(130\) | −0.313668 | + | 0.965371i | −0.0275105 | + | 0.0846686i | ||||
\(131\) | 9.36428 | 0.818161 | 0.409081 | − | 0.912498i | \(-0.365849\pi\) | ||||
0.409081 | + | 0.912498i | \(0.365849\pi\) | |||||||
\(132\) | 4.19293 | − | 5.39615i | 0.364947 | − | 0.469675i | ||||
\(133\) | −5.15074 | −0.446626 | ||||||||
\(134\) | −5.20015 | + | 16.0044i | −0.449225 | + | 1.38257i | ||||
\(135\) | 0.407530 | − | 0.296088i | 0.0350746 | − | 0.0254832i | ||||
\(136\) | 0.266626 | + | 0.193715i | 0.0228630 | + | 0.0166109i | ||||
\(137\) | −1.19962 | − | 3.69205i | −0.102490 | − | 0.315433i | 0.886643 | − | 0.462455i | \(-0.153031\pi\) |
−0.989133 | + | 0.147022i | \(0.953031\pi\) | |||||||
\(138\) | 1.14423 | + | 3.52159i | 0.0974036 | + | 0.299777i | ||||
\(139\) | 12.1390 | + | 8.81952i | 1.02962 | + | 0.748062i | 0.968232 | − | 0.250053i | \(-0.0804479\pi\) |
0.0613862 | + | 0.998114i | \(0.480448\pi\) | |||||||
\(140\) | −2.53170 | + | 1.83939i | −0.213967 | + | 0.155456i | ||||
\(141\) | −3.73852 | + | 11.5060i | −0.314840 | + | 0.968979i | ||||
\(142\) | 23.5628 | 1.97735 | ||||||||
\(143\) | −1.86192 | − | 2.74468i | −0.155702 | − | 0.229521i | ||||
\(144\) | −3.87549 | −0.322957 | ||||||||
\(145\) | −0.430674 | + | 1.32548i | −0.0357655 | + | 0.110075i | ||||
\(146\) | −9.49416 | + | 6.89791i | −0.785742 | + | 0.570875i | ||||
\(147\) | −1.69128 | − | 1.22878i | −0.139494 | − | 0.101348i | ||||
\(148\) | 0.195426 | + | 0.601459i | 0.0160639 | + | 0.0494397i | ||||
\(149\) | −2.58972 | − | 7.97032i | −0.212158 | − | 0.652954i | −0.999343 | − | 0.0362380i | \(-0.988463\pi\) |
0.787185 | − | 0.616716i | \(-0.211537\pi\) | |||||||
\(150\) | 7.73739 | + | 5.62154i | 0.631755 | + | 0.458997i | ||||
\(151\) | 11.6209 | − | 8.44310i | 0.945697 | − | 0.687089i | −0.00408790 | − | 0.999992i | \(-0.501301\pi\) |
0.949785 | + | 0.312902i | \(0.101301\pi\) | |||||||
\(152\) | 0.0642824 | − | 0.197841i | 0.00521399 | − | 0.0160470i | ||||
\(153\) | −2.70651 | −0.218808 | ||||||||
\(154\) | 0.649800 | − | 20.1396i | 0.0523624 | − | 1.62290i | ||||
\(155\) | 4.93074 | 0.396047 | ||||||||
\(156\) | 0.636708 | − | 1.95958i | 0.0509774 | − | 0.156892i | ||||
\(157\) | −9.75470 | + | 7.08721i | −0.778510 | + | 0.565621i | −0.904531 | − | 0.426407i | \(-0.859779\pi\) |
0.126021 | + | 0.992028i | \(0.459779\pi\) | |||||||
\(158\) | −13.4190 | − | 9.74949i | −1.06756 | − | 0.775628i | ||||
\(159\) | −3.19081 | − | 9.82031i | −0.253048 | − | 0.778802i | ||||
\(160\) | 1.25353 | + | 3.85796i | 0.0991000 | + | 0.304998i | ||||
\(161\) | 4.48227 | + | 3.25656i | 0.353253 | + | 0.256653i | ||||
\(162\) | −1.63021 | + | 1.18442i | −0.128081 | + | 0.0930566i | ||||
\(163\) | 1.80659 | − | 5.56013i | 0.141503 | − | 0.435503i | −0.855041 | − | 0.518560i | \(-0.826468\pi\) |
0.996545 | + | 0.0830570i | \(0.0264684\pi\) | |||||||
\(164\) | −10.4143 | −0.813224 | ||||||||
\(165\) | 1.60475 | − | 0.464766i | 0.124930 | − | 0.0361820i | ||||
\(166\) | 6.26848 | 0.486528 | ||||||||
\(167\) | −3.27841 | + | 10.0899i | −0.253691 | + | 0.780780i | 0.740394 | + | 0.672173i | \(0.234639\pi\) |
−0.994085 | + | 0.108607i | \(0.965361\pi\) | |||||||
\(168\) | 0.297021 | − | 0.215799i | 0.0229157 | − | 0.0166492i | ||||
\(169\) | −0.809017 | − | 0.587785i | −0.0622321 | − | 0.0452143i | ||||
\(170\) | 0.848945 | + | 2.61278i | 0.0651111 | + | 0.200391i | ||||
\(171\) | 0.527907 | + | 1.62473i | 0.0403700 | + | 0.124246i | ||||
\(172\) | 2.93731 | + | 2.13408i | 0.223967 | + | 0.162722i | ||||
\(173\) | −13.7117 | + | 9.96213i | −1.04248 | + | 0.757407i | −0.970768 | − | 0.240019i | \(-0.922846\pi\) |
−0.0717125 | + | 0.997425i | \(0.522846\pi\) | |||||||
\(174\) | 1.72279 | − | 5.30221i | 0.130605 | − | 0.401959i | ||||
\(175\) | 14.3102 | 1.08175 | ||||||||
\(176\) | −12.0900 | − | 4.36411i | −0.911318 | − | 0.328957i | ||||
\(177\) | 0.120680 | 0.00907085 | ||||||||
\(178\) | −4.32475 | + | 13.3102i | −0.324153 | + | 0.997642i | ||||
\(179\) | 3.19073 | − | 2.31820i | 0.238487 | − | 0.173271i | −0.462122 | − | 0.886816i | \(-0.652912\pi\) |
0.700609 | + | 0.713546i | \(0.252912\pi\) | |||||||
\(180\) | 0.839687 | + | 0.610068i | 0.0625865 | + | 0.0454718i | ||||
\(181\) | 0.104067 | + | 0.320284i | 0.00773521 | + | 0.0238065i | 0.954850 | − | 0.297090i | \(-0.0960160\pi\) |
−0.947114 | + | 0.320896i | \(0.896016\pi\) | |||||||
\(182\) | −1.87743 | − | 5.77813i | −0.139164 | − | 0.428303i | ||||
\(183\) | −11.8955 | − | 8.64257i | −0.879339 | − | 0.638877i | ||||
\(184\) | −0.181025 | + | 0.131523i | −0.0133454 | + | 0.00969597i | ||||
\(185\) | −0.0477778 | + | 0.147045i | −0.00351270 | + | 0.0108110i | ||||
\(186\) | −19.7241 | −1.44624 | ||||||||
\(187\) | −8.44324 | − | 3.04775i | −0.617431 | − | 0.222873i | ||||
\(188\) | −24.9273 | −1.81801 | ||||||||
\(189\) | −0.931702 | + | 2.86748i | −0.0677713 | + | 0.208579i | ||||
\(190\) | 1.40288 | − | 1.01925i | 0.101776 | − | 0.0739443i | ||||
\(191\) | −19.7385 | − | 14.3409i | −1.42823 | − | 1.03767i | −0.990343 | − | 0.138637i | \(-0.955728\pi\) |
−0.437885 | − | 0.899031i | \(-0.644272\pi\) | |||||||
\(192\) | −2.61920 | − | 8.06107i | −0.189025 | − | 0.581758i | ||||
\(193\) | 3.05016 | + | 9.38743i | 0.219555 | + | 0.675722i | 0.998799 | + | 0.0490007i | \(0.0156037\pi\) |
−0.779243 | + | 0.626722i | \(0.784396\pi\) | |||||||
\(194\) | 26.2958 | + | 19.1050i | 1.88793 | + | 1.37166i | ||||
\(195\) | 0.407530 | − | 0.296088i | 0.0291838 | − | 0.0212033i | ||||
\(196\) | 1.33106 | − | 4.09657i | 0.0950755 | − | 0.292612i | ||||
\(197\) | −5.60798 | −0.399552 | −0.199776 | − | 0.979842i | \(-0.564021\pi\) | ||||
−0.199776 | + | 0.979842i | \(0.564021\pi\) | |||||||
\(198\) | −6.41936 | + | 1.85917i | −0.456204 | + | 0.132125i | ||||
\(199\) | −20.9810 | −1.48730 | −0.743650 | − | 0.668569i | \(-0.766907\pi\) | ||||
−0.743650 | + | 0.668569i | \(0.766907\pi\) | |||||||
\(200\) | −0.178595 | + | 0.549658i | −0.0126285 | + | 0.0388667i | ||||
\(201\) | 6.75625 | − | 4.90870i | 0.476549 | − | 0.346233i | ||||
\(202\) | 19.2253 | + | 13.9680i | 1.35269 | + | 0.982785i | ||||
\(203\) | −2.57775 | − | 7.93351i | −0.180923 | − | 0.556823i | ||||
\(204\) | −1.72326 | − | 5.30363i | −0.120652 | − | 0.371329i | ||||
\(205\) | −2.05984 | − | 1.49656i | −0.143866 | − | 0.104524i | ||||
\(206\) | 4.42820 | − | 3.21728i | 0.308527 | − | 0.224158i | ||||
\(207\) | 0.567843 | − | 1.74764i | 0.0394678 | − | 0.121470i | ||||
\(208\) | −3.87549 | −0.268717 | ||||||||
\(209\) | −0.182715 | + | 5.66298i | −0.0126387 | + | 0.391717i | ||||
\(210\) | 3.06043 | 0.211190 | ||||||||
\(211\) | 4.64799 | − | 14.3051i | 0.319981 | − | 0.984801i | −0.653674 | − | 0.756776i | \(-0.726773\pi\) |
0.973655 | − | 0.228025i | \(-0.0732267\pi\) | |||||||
\(212\) | 17.2121 | − | 12.5053i | 1.18213 | − | 0.858870i | ||||
\(213\) | −9.46016 | − | 6.87321i | −0.648199 | − | 0.470944i | ||||
\(214\) | 0.802406 | + | 2.46955i | 0.0548514 | + | 0.168815i | ||||
\(215\) | 0.274295 | + | 0.844193i | 0.0187068 | + | 0.0575735i | ||||
\(216\) | −0.0985128 | − | 0.0715738i | −0.00670295 | − | 0.00486998i | ||||
\(217\) | −23.8761 | + | 17.3470i | −1.62081 | + | 1.17759i | ||||
\(218\) | −7.18296 | + | 22.1069i | −0.486491 | + | 1.49727i | ||||
\(219\) | 5.82388 | 0.393542 | ||||||||
\(220\) | 1.93251 | + | 2.84873i | 0.130290 | + | 0.192061i | ||||
\(221\) | −2.70651 | −0.182060 | ||||||||
\(222\) | 0.191122 | − | 0.588213i | 0.0128273 | − | 0.0394783i | ||||
\(223\) | −15.2695 | + | 11.0940i | −1.02252 | + | 0.742906i | −0.966799 | − | 0.255540i | \(-0.917747\pi\) |
−0.0557245 | + | 0.998446i | \(0.517747\pi\) | |||||||
\(224\) | −19.6427 | − | 14.2713i | −1.31243 | − | 0.953539i | ||||
\(225\) | −1.46667 | − | 4.51395i | −0.0977782 | − | 0.300930i | ||||
\(226\) | 1.40078 | + | 4.31115i | 0.0931783 | + | 0.286773i | ||||
\(227\) | −14.9614 | − | 10.8701i | −0.993024 | − | 0.721474i | −0.0324430 | − | 0.999474i | \(-0.510329\pi\) |
−0.960581 | + | 0.277999i | \(0.910329\pi\) | |||||||
\(228\) | −2.84767 | + | 2.06896i | −0.188592 | + | 0.137020i | ||||
\(229\) | 3.20872 | − | 9.87541i | 0.212038 | − | 0.652586i | −0.787313 | − | 0.616554i | \(-0.788528\pi\) |
0.999351 | − | 0.0360318i | \(-0.0114718\pi\) | |||||||
\(230\) | −1.86524 | −0.122990 | ||||||||
\(231\) | −6.13556 | + | 7.89625i | −0.403690 | + | 0.519535i | ||||
\(232\) | 0.336899 | 0.0221185 | ||||||||
\(233\) | −3.12152 | + | 9.60704i | −0.204497 | + | 0.629378i | 0.795236 | + | 0.606300i | \(0.207347\pi\) |
−0.999734 | + | 0.0230784i | \(0.992653\pi\) | |||||||
\(234\) | −1.63021 | + | 1.18442i | −0.106570 | + | 0.0774278i | ||||
\(235\) | −4.93034 | − | 3.58210i | −0.321620 | − | 0.233671i | ||||
\(236\) | 0.0768378 | + | 0.236482i | 0.00500172 | + | 0.0153937i | ||||
\(237\) | 2.54366 | + | 7.82859i | 0.165229 | + | 0.508521i | ||||
\(238\) | −13.3029 | − | 9.66515i | −0.862302 | − | 0.626499i | ||||
\(239\) | 22.8318 | − | 16.5882i | 1.47686 | − | 1.07300i | 0.498314 | − | 0.866997i | \(-0.333953\pi\) |
0.978550 | − | 0.206008i | \(-0.0660472\pi\) | |||||||
\(240\) | 0.603269 | − | 1.85667i | 0.0389408 | − | 0.119848i | ||||
\(241\) | 20.2592 | 1.30501 | 0.652504 | − | 0.757785i | \(-0.273719\pi\) | ||||
0.652504 | + | 0.757785i | \(0.273719\pi\) | |||||||
\(242\) | −22.1195 | − | 1.42885i | −1.42189 | − | 0.0918498i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 9.36191 | − | 28.8130i | 0.599335 | − | 1.84456i | ||||
\(245\) | 0.851954 | − | 0.618981i | 0.0544293 | − | 0.0395452i | ||||
\(246\) | 8.23982 | + | 5.98658i | 0.525352 | + | 0.381691i | ||||
\(247\) | 0.527907 | + | 1.62473i | 0.0335899 | + | 0.103379i | ||||
\(248\) | −0.368322 | − | 1.13358i | −0.0233885 | − | 0.0719824i | ||||
\(249\) | −2.51671 | − | 1.82850i | −0.159490 | − | 0.115876i | ||||
\(250\) | −8.00356 | + | 5.81492i | −0.506189 | + | 0.367768i | ||||
\(251\) | −3.72780 | + | 11.4730i | −0.235297 | + | 0.724169i | 0.761785 | + | 0.647830i | \(0.224323\pi\) |
−0.997082 | + | 0.0763392i | \(0.975677\pi\) | |||||||
\(252\) | −6.21230 | −0.391338 | ||||||||
\(253\) | 3.73943 | − | 4.81252i | 0.235096 | − | 0.302560i | ||||
\(254\) | 25.8165 | 1.61987 | ||||||||
\(255\) | 0.421302 | − | 1.29663i | 0.0263830 | − | 0.0811984i | ||||
\(256\) | −12.1270 | + | 8.81076i | −0.757936 | + | 0.550673i | ||||
\(257\) | −16.4322 | − | 11.9387i | −1.02501 | − | 0.744717i | −0.0577100 | − | 0.998333i | \(-0.518380\pi\) |
−0.967305 | + | 0.253617i | \(0.918380\pi\) | |||||||
\(258\) | −1.09724 | − | 3.37696i | −0.0683113 | − | 0.210240i | ||||
\(259\) | −0.285969 | − | 0.880123i | −0.0177693 | − | 0.0546882i | ||||
\(260\) | 0.839687 | + | 0.610068i | 0.0520751 | + | 0.0378348i | ||||
\(261\) | −2.23832 | + | 1.62623i | −0.138549 | + | 0.100661i | ||||
\(262\) | 5.83100 | − | 17.9460i | 0.360240 | − | 1.10871i | ||||
\(263\) | 26.5877 | 1.63947 | 0.819734 | − | 0.572745i | \(-0.194121\pi\) | ||||
0.819734 | + | 0.572745i | \(0.194121\pi\) | |||||||
\(264\) | −0.226723 | − | 0.334215i | −0.0139539 | − | 0.0205695i | ||||
\(265\) | 5.20141 | 0.319520 | ||||||||
\(266\) | −3.20729 | + | 9.87101i | −0.196651 | + | 0.605231i | ||||
\(267\) | 5.61888 | − | 4.08236i | 0.343870 | − | 0.249836i | ||||
\(268\) | 13.9208 | + | 10.1140i | 0.850346 | + | 0.617813i | ||||
\(269\) | −6.94122 | − | 21.3629i | −0.423214 | − | 1.30252i | −0.904695 | − | 0.426061i | \(-0.859901\pi\) |
0.481481 | − | 0.876457i | \(-0.340099\pi\) | |||||||
\(270\) | −0.313668 | − | 0.965371i | −0.0190892 | − | 0.0587506i | ||||
\(271\) | 14.6456 | + | 10.6407i | 0.889660 | + | 0.646376i | 0.935789 | − | 0.352560i | \(-0.114689\pi\) |
−0.0461295 | + | 0.998935i | \(0.514689\pi\) | |||||||
\(272\) | −8.48582 | + | 6.16531i | −0.514528 | + | 0.373827i | ||||
\(273\) | −0.931702 | + | 2.86748i | −0.0563892 | + | 0.173548i | ||||
\(274\) | −7.82253 | −0.472576 | ||||||||
\(275\) | 0.507633 | − | 15.7333i | 0.0306114 | − | 0.948757i | ||||
\(276\) | 3.78620 | 0.227903 | ||||||||
\(277\) | −7.20212 | + | 22.1658i | −0.432733 | + | 1.33182i | 0.462658 | + | 0.886537i | \(0.346896\pi\) |
−0.895392 | + | 0.445279i | \(0.853104\pi\) | |||||||
\(278\) | 24.4607 | − | 17.7718i | 1.46706 | − | 1.06588i | ||||
\(279\) | 7.91896 | + | 5.75346i | 0.474096 | + | 0.344451i | ||||
\(280\) | 0.0571497 | + | 0.175889i | 0.00341535 | + | 0.0105114i | ||||
\(281\) | 0.525419 | + | 1.61707i | 0.0313439 | + | 0.0964665i | 0.965505 | − | 0.260386i | \(-0.0838498\pi\) |
−0.934161 | + | 0.356853i | \(0.883850\pi\) | |||||||
\(282\) | 19.7225 | + | 14.3292i | 1.17446 | + | 0.853292i | ||||
\(283\) | 7.94001 | − | 5.76876i | 0.471985 | − | 0.342917i | −0.326230 | − | 0.945291i | \(-0.605778\pi\) |
0.798214 | + | 0.602374i | \(0.205778\pi\) | |||||||
\(284\) | 7.44528 | − | 22.9142i | 0.441796 | − | 1.35971i | ||||
\(285\) | −0.860551 | −0.0509746 | ||||||||
\(286\) | −6.41936 | + | 1.85917i | −0.379585 | + | 0.109935i | ||||
\(287\) | 15.2394 | 0.899555 | ||||||||
\(288\) | −2.48847 | + | 7.65871i | −0.146634 | + | 0.451294i | ||||
\(289\) | 7.82708 | − | 5.68671i | 0.460417 | − | 0.334512i | ||||
\(290\) | 2.27201 | + | 1.65071i | 0.133417 | + | 0.0969331i | ||||
\(291\) | −4.98454 | − | 15.3408i | −0.292199 | − | 0.899295i | ||||
\(292\) | 3.70811 | + | 11.4124i | 0.217001 | + | 0.667860i | ||||
\(293\) | −9.50684 | − | 6.90712i | −0.555396 | − | 0.403519i | 0.274375 | − | 0.961623i | \(-0.411529\pi\) |
−0.829771 | + | 0.558104i | \(0.811529\pi\) | |||||||
\(294\) | −3.40801 | + | 2.47606i | −0.198759 | + | 0.144407i | ||||
\(295\) | −0.0187853 | + | 0.0578153i | −0.00109372 | + | 0.00336614i | ||||
\(296\) | 0.0373747 | 0.00217236 | ||||||||
\(297\) | 3.11961 | + | 1.12608i | 0.181018 | + | 0.0653418i | ||||
\(298\) | −16.8871 | −0.978245 | ||||||||
\(299\) | 0.567843 | − | 1.74764i | 0.0328392 | − | 0.101069i | ||||
\(300\) | 7.91163 | − | 5.74814i | 0.456778 | − | 0.331869i | ||||
\(301\) | −4.29819 | − | 3.12282i | −0.247744 | − | 0.179996i | ||||
\(302\) | −8.94440 | − | 27.5280i | −0.514693 | − | 1.58406i | ||||
\(303\) | −3.64428 | − | 11.2159i | −0.209358 | − | 0.644339i | ||||
\(304\) | 5.35623 | + | 3.89153i | 0.307201 | + | 0.223194i | ||||
\(305\) | 5.99217 | − | 4.35356i | 0.343110 | − | 0.249284i | ||||
\(306\) | −1.68530 | + | 5.18683i | −0.0963423 | + | 0.296511i | ||||
\(307\) | 3.60579 | 0.205793 | 0.102897 | − | 0.994692i | \(-0.467189\pi\) | ||||
0.102897 | + | 0.994692i | \(0.467189\pi\) | |||||||
\(308\) | −19.3799 | − | 6.99555i | −1.10427 | − | 0.398608i | ||||
\(309\) | −2.71634 | −0.154527 | ||||||||
\(310\) | 3.07030 | − | 9.44940i | 0.174381 | − | 0.536690i | ||||
\(311\) | 15.6556 | − | 11.3744i | 0.887746 | − | 0.644985i | −0.0475434 | − | 0.998869i | \(-0.515139\pi\) |
0.935289 | + | 0.353884i | \(0.115139\pi\) | |||||||
\(312\) | −0.0985128 | − | 0.0715738i | −0.00557719 | − | 0.00405207i | ||||
\(313\) | 5.55059 | + | 17.0830i | 0.313738 | + | 0.965586i | 0.976271 | + | 0.216553i | \(0.0694814\pi\) |
−0.662533 | + | 0.749033i | \(0.730519\pi\) | |||||||
\(314\) | 7.50801 | + | 23.1073i | 0.423701 | + | 1.30402i | ||||
\(315\) | −1.22872 | − | 0.892720i | −0.0692307 | − | 0.0502991i | ||||
\(316\) | −13.7212 | + | 9.96905i | −0.771879 | + | 0.560803i | ||||
\(317\) | 0.538117 | − | 1.65616i | 0.0302237 | − | 0.0930189i | −0.934807 | − | 0.355157i | \(-0.884427\pi\) |
0.965030 | + | 0.262138i | \(0.0844275\pi\) | |||||||
\(318\) | −20.8068 | −1.16679 | ||||||||
\(319\) | −8.81395 | + | 2.55268i | −0.493486 | + | 0.142923i | ||||
\(320\) | 4.26961 | 0.238678 | ||||||||
\(321\) | 0.398206 | − | 1.22555i | 0.0222257 | − | 0.0684037i | ||||
\(322\) | 9.03201 | − | 6.56214i | 0.503334 | − | 0.365694i | ||||
\(323\) | 3.74061 | + | 2.71771i | 0.208133 | + | 0.151217i | ||||
\(324\) | 0.636708 | + | 1.95958i | 0.0353727 | + | 0.108866i | ||||
\(325\) | −1.46667 | − | 4.51395i | −0.0813563 | − | 0.250389i | ||||
\(326\) | −9.53064 | − | 6.92441i | −0.527853 | − | 0.383508i | ||||
\(327\) | 9.33238 | − | 6.78037i | 0.516082 | − | 0.374955i | ||||
\(328\) | −0.190192 | + | 0.585350i | −0.0105016 | + | 0.0323206i | ||||
\(329\) | 36.4764 | 2.01101 | ||||||||
\(330\) | 0.108564 | − | 3.36479i | 0.00597627 | − | 0.185226i | ||||
\(331\) | 5.50106 | 0.302365 | 0.151183 | − | 0.988506i | \(-0.451692\pi\) | ||||
0.151183 | + | 0.988506i | \(0.451692\pi\) | |||||||
\(332\) | 1.98069 | − | 6.09593i | 0.108704 | − | 0.334558i | ||||
\(333\) | −0.248313 | + | 0.180410i | −0.0136075 | + | 0.00988641i | ||||
\(334\) | 17.2952 | + | 12.5657i | 0.946349 | + | 0.687563i | ||||
\(335\) | 1.29997 | + | 4.00088i | 0.0710247 | + | 0.218592i | ||||
\(336\) | 3.61080 | + | 11.1129i | 0.196985 | + | 0.606259i | ||||
\(337\) | −3.51773 | − | 2.55578i | −0.191623 | − | 0.139222i | 0.487837 | − | 0.872935i | \(-0.337786\pi\) |
−0.679460 | + | 0.733712i | \(0.737786\pi\) | |||||||
\(338\) | −1.63021 | + | 1.18442i | −0.0886718 | + | 0.0644238i | ||||
\(339\) | 0.695157 | − | 2.13947i | 0.0377557 | − | 0.116200i | ||||
\(340\) | 2.80911 | 0.152345 | ||||||||
\(341\) | 18.2252 | + | 26.8659i | 0.986948 | + | 1.45487i | ||||
\(342\) | 3.44240 | 0.186143 | ||||||||
\(343\) | 4.57416 | − | 14.0778i | 0.246982 | − | 0.760131i | ||||
\(344\) | 0.173591 | − | 0.126121i | 0.00935939 | − | 0.00679999i | ||||
\(345\) | 0.748869 | + | 0.544085i | 0.0403177 | + | 0.0292925i | ||||
\(346\) | 10.5536 | + | 32.4807i | 0.567367 | + | 1.74617i | ||||
\(347\) | −4.20501 | − | 12.9417i | −0.225737 | − | 0.694747i | −0.998216 | − | 0.0597064i | \(-0.980984\pi\) |
0.772479 | − | 0.635040i | \(-0.219016\pi\) | |||||||
\(348\) | −4.61190 | − | 3.35074i | −0.247224 | − | 0.179619i | ||||
\(349\) | 19.1999 | − | 13.9495i | 1.02775 | − | 0.746701i | 0.0598894 | − | 0.998205i | \(-0.480925\pi\) |
0.967856 | + | 0.251504i | \(0.0809252\pi\) | |||||||
\(350\) | 8.91074 | − | 27.4244i | 0.476299 | − | 1.46590i | ||||
\(351\) | 1.00000 | 0.0533761 | ||||||||
\(352\) | −16.3874 | + | 21.0899i | −0.873449 | + | 1.12410i | ||||
\(353\) | 7.35753 | 0.391602 | 0.195801 | − | 0.980644i | \(-0.437269\pi\) | ||||
0.195801 | + | 0.980644i | \(0.437269\pi\) | |||||||
\(354\) | 0.0751455 | − | 0.231274i | 0.00399394 | − | 0.0122921i | ||||
\(355\) | 4.76541 | − | 3.46227i | 0.252922 | − | 0.183758i | ||||
\(356\) | 11.5773 | + | 8.41141i | 0.613596 | + | 0.445804i | ||||
\(357\) | 2.52166 | + | 7.76087i | 0.133460 | + | 0.410749i | ||||
\(358\) | −2.45585 | − | 7.55832i | −0.129796 | − | 0.399470i | ||||
\(359\) | −15.0097 | − | 10.9052i | −0.792179 | − | 0.575552i | 0.116430 | − | 0.993199i | \(-0.462855\pi\) |
−0.908609 | + | 0.417647i | \(0.862855\pi\) | |||||||
\(360\) | 0.0496243 | − | 0.0360542i | 0.00261543 | − | 0.00190022i | ||||
\(361\) | −4.96948 | + | 15.2945i | −0.261551 | + | 0.804973i | ||||
\(362\) | 0.678601 | 0.0356665 | ||||||||
\(363\) | 8.46389 | + | 7.02585i | 0.444239 | + | 0.368762i | ||||
\(364\) | −6.21230 | −0.325613 | ||||||||
\(365\) | −0.906561 | + | 2.79011i | −0.0474516 | + | 0.146041i | ||||
\(366\) | −23.9700 | + | 17.4152i | −1.25293 | + | 0.910308i | ||||
\(367\) | 20.3776 | + | 14.8052i | 1.06370 | + | 0.772826i | 0.974770 | − | 0.223212i | \(-0.0716541\pi\) |
0.0889336 | + | 0.996038i | \(0.471654\pi\) | |||||||
\(368\) | −2.20067 | − | 6.77297i | −0.114718 | − | 0.353065i | ||||
\(369\) | −1.56191 | − | 4.80707i | −0.0813099 | − | 0.250246i | ||||
\(370\) | 0.252051 | + | 0.183125i | 0.0131035 | + | 0.00952024i | ||||
\(371\) | −25.1867 | + | 18.2992i | −1.30763 | + | 0.950048i | ||||
\(372\) | −6.23233 | + | 19.1811i | −0.323131 | + | 0.994496i | ||||
\(373\) | 4.76978 | 0.246970 | 0.123485 | − | 0.992346i | \(-0.460593\pi\) | ||||
0.123485 | + | 0.992346i | \(0.460593\pi\) | |||||||
\(374\) | −11.0983 | + | 14.2831i | −0.573878 | + | 0.738560i | ||||
\(375\) | 4.90952 | 0.253527 | ||||||||
\(376\) | −0.455235 | + | 1.40107i | −0.0234769 | + | 0.0722546i | ||||
\(377\) | −2.23832 | + | 1.62623i | −0.115279 | + | 0.0837553i | ||||
\(378\) | 4.91517 | + | 3.57108i | 0.252809 | + | 0.183676i | ||||
\(379\) | 5.11951 | + | 15.7562i | 0.262972 | + | 0.809344i | 0.992154 | + | 0.125024i | \(0.0399008\pi\) |
−0.729182 | + | 0.684320i | \(0.760099\pi\) | |||||||
\(380\) | −0.547919 | − | 1.68632i | −0.0281077 | − | 0.0865065i | ||||
\(381\) | −10.3650 | − | 7.53061i | −0.531015 | − | 0.385805i | ||||
\(382\) | −39.7741 | + | 28.8976i | −2.03502 | + | 1.47853i | ||||
\(383\) | 9.81799 | − | 30.2167i | 0.501676 | − | 1.54400i | −0.304612 | − | 0.952477i | \(-0.598527\pi\) |
0.806288 | − | 0.591523i | \(-0.201473\pi\) | |||||||
\(384\) | −0.973704 | −0.0496891 | ||||||||
\(385\) | −2.82786 | − | 4.16857i | −0.144121 | − | 0.212450i | ||||
\(386\) | 19.8896 | 1.01236 | ||||||||
\(387\) | −0.544523 | + | 1.67587i | −0.0276797 | + | 0.0851892i | ||||
\(388\) | 26.8880 | − | 19.5352i | 1.36503 | − | 0.991752i | ||||
\(389\) | −2.39682 | − | 1.74139i | −0.121524 | − | 0.0882920i | 0.525363 | − | 0.850878i | \(-0.323929\pi\) |
−0.646887 | + | 0.762586i | \(0.723929\pi\) | |||||||
\(390\) | −0.313668 | − | 0.965371i | −0.0158832 | − | 0.0488834i | ||||
\(391\) | −1.53687 | − | 4.73001i | −0.0777230 | − | 0.239207i | ||||
\(392\) | −0.205944 | − | 0.149627i | −0.0104018 | − | 0.00755731i | ||||
\(393\) | −7.57586 | + | 5.50419i | −0.382152 | + | 0.277650i | ||||
\(394\) | −3.49201 | + | 10.7473i | −0.175925 | + | 0.541441i | ||||
\(395\) | −4.14647 | −0.208632 | ||||||||
\(396\) | −0.220372 | + | 6.83012i | −0.0110741 | + | 0.343226i | ||||
\(397\) | 23.2897 | 1.16888 | 0.584438 | − | 0.811439i | \(-0.301315\pi\) | ||||
0.584438 | + | 0.811439i | \(0.301315\pi\) | |||||||
\(398\) | −13.0645 | + | 40.2085i | −0.654865 | + | 2.01547i | ||||
\(399\) | 4.16703 | − | 3.02753i | 0.208613 | − | 0.151566i | ||||
\(400\) | −14.8811 | − | 10.8117i | −0.744055 | − | 0.540587i | ||||
\(401\) | −0.0508412 | − | 0.156473i | −0.00253889 | − | 0.00781390i | 0.949779 | − | 0.312921i | \(-0.101308\pi\) |
−0.952318 | + | 0.305107i | \(0.901308\pi\) | |||||||
\(402\) | −5.20015 | − | 16.0044i | −0.259360 | − | 0.798228i | ||||
\(403\) | 7.91896 | + | 5.75346i | 0.394471 | + | 0.286600i | ||||
\(404\) | 19.6582 | − | 14.2826i | 0.978034 | − | 0.710584i | ||||
\(405\) | −0.155663 | + | 0.479080i | −0.00773493 | + | 0.0238057i | ||||
\(406\) | −16.8091 | −0.834223 | ||||||||
\(407\) | −0.977796 | + | 0.283188i | −0.0484675 | + | 0.0140371i | ||||
\(408\) | −0.329568 | −0.0163160 | ||||||||
\(409\) | 6.36359 | − | 19.5851i | 0.314659 | − | 0.968422i | −0.661235 | − | 0.750179i | \(-0.729967\pi\) |
0.975894 | − | 0.218243i | \(-0.0700325\pi\) | |||||||
\(410\) | −4.15068 | + | 3.01565i | −0.204988 | + | 0.148932i | ||||
\(411\) | 3.14065 | + | 2.28181i | 0.154917 | + | 0.112554i | ||||
\(412\) | −1.72951 | − | 5.32289i | −0.0852070 | − | 0.262240i | ||||
\(413\) | −0.112438 | − | 0.346048i | −0.00553270 | − | 0.0170279i | ||||
\(414\) | −2.99564 | − | 2.17646i | −0.147228 | − | 0.106967i | ||||
\(415\) | 1.26776 | − | 0.921079i | 0.0622317 | − | 0.0452140i | ||||
\(416\) | −2.48847 | + | 7.65871i | −0.122007 | + | 0.375499i | ||||
\(417\) | −15.0047 | −0.734781 | ||||||||
\(418\) | 10.7389 | + | 3.87641i | 0.525258 | + | 0.189602i | ||||
\(419\) | −17.6844 | −0.863940 | −0.431970 | − | 0.901888i | \(-0.642181\pi\) | ||||
−0.431970 | + | 0.901888i | \(0.642181\pi\) | |||||||
\(420\) | 0.967022 | − | 2.97619i | 0.0471859 | − | 0.145223i | ||||
\(421\) | 12.1495 | − | 8.82716i | 0.592132 | − | 0.430209i | −0.250945 | − | 0.968001i | \(-0.580741\pi\) |
0.843078 | + | 0.537792i | \(0.180741\pi\) | |||||||
\(422\) | −24.5204 | − | 17.8151i | −1.19363 | − | 0.867225i | ||||
\(423\) | −3.73852 | − | 11.5060i | −0.181773 | − | 0.559440i | ||||
\(424\) | −0.388541 | − | 1.19581i | −0.0188692 | − | 0.0580735i | ||||
\(425\) | −10.3924 | − | 7.55056i | −0.504108 | − | 0.366256i | ||||
\(426\) | −19.0627 | + | 13.8499i | −0.923591 | + | 0.671028i | ||||
\(427\) | −13.6994 | + | 42.1624i | −0.662960 | + | 2.04038i | ||||
\(428\) | 2.65512 | 0.128340 | ||||||||
\(429\) | 3.11961 | + | 1.12608i | 0.150616 | + | 0.0543677i | ||||
\(430\) | 1.78863 | 0.0862556 | ||||||||
\(431\) | 2.54742 | − | 7.84014i | 0.122705 | − | 0.377646i | −0.870771 | − | 0.491688i | \(-0.836380\pi\) |
0.993476 | + | 0.114042i | \(0.0363799\pi\) | |||||||
\(432\) | 3.13534 | − | 2.27796i | 0.150849 | − | 0.109598i | ||||
\(433\) | 14.2108 | + | 10.3248i | 0.682928 | + | 0.496176i | 0.874328 | − | 0.485336i | \(-0.161303\pi\) |
−0.191400 | + | 0.981512i | \(0.561303\pi\) | |||||||
\(434\) | 18.3769 | + | 56.5584i | 0.882122 | + | 2.71489i | ||||
\(435\) | −0.430674 | − | 1.32548i | −0.0206492 | − | 0.0635518i | ||||
\(436\) | 19.2287 | + | 13.9705i | 0.920889 | + | 0.669065i | ||||
\(437\) | −2.53968 | + | 1.84518i | −0.121489 | + | 0.0882671i | ||||
\(438\) | 3.62645 | − | 11.1611i | 0.173278 | − | 0.533296i | ||||
\(439\) | 35.0774 | 1.67415 | 0.837075 | − | 0.547087i | \(-0.184264\pi\) | ||||
0.837075 | + | 0.547087i | \(0.184264\pi\) | |||||||
\(440\) | 0.195408 | − | 0.0565939i | 0.00931572 | − | 0.00269801i | ||||
\(441\) | 2.09053 | 0.0995491 | ||||||||
\(442\) | −1.68530 | + | 5.18683i | −0.0801617 | + | 0.246712i | ||||
\(443\) | −29.4534 | + | 21.3991i | −1.39937 | + | 1.01670i | −0.404609 | + | 0.914490i | \(0.632592\pi\) |
−0.994763 | + | 0.102213i | \(0.967408\pi\) | |||||||
\(444\) | −0.511632 | − | 0.371722i | −0.0242810 | − | 0.0176412i | ||||
\(445\) | 1.08113 | + | 3.32736i | 0.0512503 | + | 0.157732i | ||||
\(446\) | 11.7527 | + | 36.1710i | 0.556505 | + | 1.71275i | ||||
\(447\) | 6.77996 | + | 4.92593i | 0.320681 | + | 0.232989i | ||||
\(448\) | −20.6747 | + | 15.0210i | −0.976787 | + | 0.709677i | ||||
\(449\) | 6.65709 | − | 20.4884i | 0.314168 | − | 0.966908i | −0.661928 | − | 0.749567i | \(-0.730262\pi\) |
0.976096 | − | 0.217341i | \(-0.0697384\pi\) | |||||||
\(450\) | −9.56394 | −0.450848 | ||||||||
\(451\) | 0.540597 | − | 16.7550i | 0.0254557 | − | 0.788963i | ||||
\(452\) | 4.63509 | 0.218016 | ||||||||
\(453\) | −4.43880 | + | 13.6612i | −0.208553 | + | 0.641860i | ||||
\(454\) | −30.1480 | + | 21.9038i | −1.41492 | + | 1.02800i | ||||
\(455\) | −1.22872 | − | 0.892720i | −0.0576034 | − | 0.0418513i | ||||
\(456\) | 0.0642824 | + | 0.197841i | 0.00301030 | + | 0.00926475i | ||||
\(457\) | −6.15430 | − | 18.9410i | −0.287886 | − | 0.886023i | −0.985519 | − | 0.169567i | \(-0.945763\pi\) |
0.697633 | − | 0.716456i | \(-0.254237\pi\) | |||||||
\(458\) | −16.9275 | − | 12.2985i | −0.790970 | − | 0.574673i | ||||
\(459\) | 2.18961 | − | 1.59085i | 0.102202 | − | 0.0742543i | ||||
\(460\) | −0.589370 | + | 1.81389i | −0.0274795 | + | 0.0845733i | ||||
\(461\) | −17.9949 | −0.838105 | −0.419052 | − | 0.907962i | \(-0.637638\pi\) | ||||
−0.419052 | + | 0.907962i | \(0.637638\pi\) | |||||||
\(462\) | 11.3121 | + | 16.6752i | 0.526285 | + | 0.775802i | ||||
\(463\) | −9.00266 | −0.418389 | −0.209194 | − | 0.977874i | \(-0.567084\pi\) | ||||
−0.209194 | + | 0.977874i | \(0.567084\pi\) | |||||||
\(464\) | −3.31340 | + | 10.1976i | −0.153821 | + | 0.473411i | ||||
\(465\) | −3.98905 | + | 2.89822i | −0.184988 | + | 0.134402i | ||||
\(466\) | 16.4675 | + | 11.9643i | 0.762841 | + | 0.554236i | ||||
\(467\) | −10.9024 | − | 33.5541i | −0.504502 | − | 1.55270i | −0.801606 | − | 0.597852i | \(-0.796021\pi\) |
0.297104 | − | 0.954845i | \(-0.403979\pi\) | |||||||
\(468\) | 0.636708 | + | 1.95958i | 0.0294318 | + | 0.0905818i | ||||
\(469\) | −20.3704 | − | 14.8000i | −0.940619 | − | 0.683399i | ||||
\(470\) | −9.93489 | + | 7.21812i | −0.458262 | + | 0.332947i | ||||
\(471\) | 3.72596 | − | 11.4673i | 0.171683 | − | 0.528387i | ||||
\(472\) | 0.0146950 | 0.000676393 | ||||||||
\(473\) | −3.58586 | + | 4.61488i | −0.164878 | + | 0.212192i | ||||
\(474\) | 16.5868 | 0.761858 | ||||||||
\(475\) | −2.50558 | + | 7.71138i | −0.114964 | + | 0.353822i | ||||
\(476\) | −13.6025 | + | 9.88281i | −0.623471 | + | 0.452978i | ||||
\(477\) | 8.35366 | + | 6.06929i | 0.382488 | + | 0.277894i | ||||
\(478\) | −17.5732 | − | 54.0847i | −0.803778 | − | 2.47377i | ||||
\(479\) | 4.74905 | + | 14.6161i | 0.216990 | + | 0.667826i | 0.999006 | + | 0.0445680i | \(0.0141911\pi\) |
−0.782017 | + | 0.623258i | \(0.785809\pi\) | |||||||
\(480\) | −3.28177 | − | 2.38435i | −0.149792 | − | 0.108830i | ||||
\(481\) | −0.248313 | + | 0.180410i | −0.0113221 | + | 0.00822599i | ||||
\(482\) | 12.6151 | − | 38.8252i | 0.574601 | − | 1.76844i | ||||
\(483\) | −5.54040 | −0.252097 | ||||||||
\(484\) | −8.37874 | + | 21.0591i | −0.380852 | + | 0.957233i | ||||
\(485\) | 8.12539 | 0.368955 | ||||||||
\(486\) | 0.622685 | − | 1.91643i | 0.0282456 | − | 0.0869309i | ||||
\(487\) | −27.3538 | + | 19.8737i | −1.23952 | + | 0.900564i | −0.997566 | − | 0.0697235i | \(-0.977788\pi\) |
−0.241954 | + | 0.970288i | \(0.577788\pi\) | |||||||
\(488\) | −1.44850 | − | 1.05239i | −0.0655703 | − | 0.0476396i | ||||
\(489\) | 1.80659 | + | 5.56013i | 0.0816970 | + | 0.251438i | ||||
\(490\) | −0.655733 | − | 2.01814i | −0.0296230 | − | 0.0911701i | ||||
\(491\) | 16.9393 | + | 12.3072i | 0.764462 | + | 0.555414i | 0.900276 | − | 0.435320i | \(-0.143365\pi\) |
−0.135814 | + | 0.990734i | \(0.543365\pi\) | |||||||
\(492\) | 8.42538 | − | 6.12140i | 0.379846 | − | 0.275974i | ||||
\(493\) | −2.31396 | + | 7.12165i | −0.104216 | + | 0.320743i | ||||
\(494\) | 3.44240 | 0.154881 | ||||||||
\(495\) | −1.02509 | + | 1.31925i | −0.0460743 | + | 0.0592960i | ||||
\(496\) | 37.9347 | 1.70332 | ||||||||
\(497\) | −10.8948 | + | 33.5306i | −0.488697 | + | 1.50405i | ||||
\(498\) | −5.07131 | + | 3.68452i | −0.227251 | + | 0.165107i | ||||
\(499\) | 1.70160 | + | 1.23628i | 0.0761741 | + | 0.0553437i | 0.625221 | − | 0.780448i | \(-0.285009\pi\) |
−0.549046 | + | 0.835792i | \(0.685009\pi\) | |||||||
\(500\) | 3.12593 | + | 9.62063i | 0.139796 | + | 0.430248i | ||||
\(501\) | −3.27841 | − | 10.0899i | −0.146469 | − | 0.450784i | ||||
\(502\) | 19.6659 | + | 14.2881i | 0.877732 | + | 0.637710i | ||||
\(503\) | −16.9728 | + | 12.3315i | −0.756781 | + | 0.549834i | −0.897921 | − | 0.440156i | \(-0.854923\pi\) |
0.141140 | + | 0.989990i | \(0.454923\pi\) | |||||||
\(504\) | −0.113452 | + | 0.349169i | −0.00505355 | + | 0.0155532i | ||||
\(505\) | 5.94061 | 0.264354 | ||||||||
\(506\) | −6.89435 | − | 10.1630i | −0.306491 | − | 0.451802i | ||||
\(507\) | 1.00000 | 0.0444116 | ||||||||
\(508\) | 8.15740 | − | 25.1059i | 0.361926 | − | 1.11389i | ||||
\(509\) | −33.8976 | + | 24.6280i | −1.50248 | + | 1.09162i | −0.533106 | + | 0.846049i | \(0.678975\pi\) |
−0.969379 | + | 0.245570i | \(0.921025\pi\) | |||||||
\(510\) | −2.22257 | − | 1.61479i | −0.0984169 | − | 0.0715041i | ||||
\(511\) | −5.42612 | − | 16.6999i | −0.240038 | − | 0.738760i | ||||
\(512\) | 9.93568 | + | 30.5789i | 0.439099 | + | 1.35141i | ||||
\(513\) | −1.38208 | − | 1.00414i | −0.0610202 | − | 0.0443338i | ||||
\(514\) | −33.1118 | + | 24.0571i | −1.46050 | + | 1.06111i | ||||
\(515\) | 0.422832 | − | 1.30134i | 0.0186322 | − | 0.0573440i | ||||
\(516\) | −3.63071 | −0.159833 | ||||||||
\(517\) | 1.29395 | − | 40.1040i | 0.0569078 | − | 1.76377i | ||||
\(518\) | −1.86476 | −0.0819328 | ||||||||
\(519\) | 5.23740 | − | 16.1191i | 0.229896 | − | 0.707548i | ||||
\(520\) | 0.0496243 | − | 0.0360542i | 0.00217617 | − | 0.00158108i | ||||
\(521\) | 29.5259 | + | 21.4518i | 1.29355 | + | 0.939820i | 0.999871 | − | 0.0160836i | \(-0.00511978\pi\) |
0.293681 | + | 0.955904i | \(0.405120\pi\) | |||||||
\(522\) | 1.72279 | + | 5.30221i | 0.0754046 | + | 0.232071i | ||||
\(523\) | 1.44454 | + | 4.44584i | 0.0631654 | + | 0.194403i | 0.977659 | − | 0.210197i | \(-0.0674106\pi\) |
−0.914494 | + | 0.404600i | \(0.867411\pi\) | |||||||
\(524\) | −15.6095 | − | 11.3410i | −0.681906 | − | 0.495434i | ||||
\(525\) | −11.5772 | + | 8.41132i | −0.505270 | + | 0.367100i | ||||
\(526\) | 16.5558 | − | 50.9534i | 0.721865 | − | 2.22167i | ||||
\(527\) | 26.4923 | 1.15402 | ||||||||
\(528\) | 12.3462 | − | 3.57568i | 0.537298 | − | 0.155612i | ||||
\(529\) | −19.6233 | −0.853187 | ||||||||
\(530\) | 3.23884 | − | 9.96812i | 0.140686 | − | 0.432987i | ||||
\(531\) | −0.0976321 | + | 0.0709338i | −0.00423687 | + | 0.00307827i | ||||
\(532\) | 8.58588 | + | 6.23801i | 0.372245 | + | 0.270452i | ||||
\(533\) | −1.56191 | − | 4.80707i | −0.0676539 | − | 0.208217i | ||||
\(534\) | −4.32475 | − | 13.3102i | −0.187150 | − | 0.575989i | ||||
\(535\) | 0.525152 | + | 0.381546i | 0.0227043 | + | 0.0164957i | ||||
\(536\) | 0.822698 | − | 0.597725i | 0.0355352 | − | 0.0258178i | ||||
\(537\) | −1.21875 | + | 3.75093i | −0.0525930 | + | 0.161865i | ||||
\(538\) | −45.2626 | −1.95141 | ||||||||
\(539\) | 6.52163 | + | 2.35411i | 0.280907 | + | 0.101399i | ||||
\(540\) | −1.03791 | −0.0446645 | ||||||||
\(541\) | 4.65545 | − | 14.3280i | 0.200153 | − | 0.616009i | −0.799724 | − | 0.600367i | \(-0.795021\pi\) |
0.999878 | − | 0.0156413i | \(-0.00497897\pi\) | |||||||
\(542\) | 29.5117 | − | 21.4415i | 1.26764 | − | 0.920992i | ||||
\(543\) | −0.272450 | − | 0.197946i | −0.0116919 | − | 0.00849469i | ||||
\(544\) | 6.73506 | + | 20.7284i | 0.288763 | + | 0.888722i | ||||
\(545\) | 1.79564 | + | 5.52641i | 0.0769167 | + | 0.236725i | ||||
\(546\) | 4.91517 | + | 3.57108i | 0.210350 | + | 0.152828i | ||||
\(547\) | −19.7950 | + | 14.3819i | −0.846371 | + | 0.614925i | −0.924143 | − | 0.382046i | \(-0.875219\pi\) |
0.0777718 | + | 0.996971i | \(0.475219\pi\) | |||||||
\(548\) | −2.47173 | + | 7.60721i | −0.105587 | + | 0.324964i | ||||
\(549\) | 14.7036 | 0.627535 | ||||||||
\(550\) | −29.8357 | − | 10.7698i | −1.27220 | − | 0.459224i | ||||
\(551\) | 4.72650 | 0.201355 | ||||||||
\(552\) | 0.0691455 | − | 0.212808i | 0.00294303 | − | 0.00905770i | ||||
\(553\) | 20.0784 | − | 14.5878i | 0.853821 | − | 0.620337i | ||||
\(554\) | 37.9946 | + | 27.6047i | 1.61423 | + | 1.17281i | ||||
\(555\) | −0.0477778 | − | 0.147045i | −0.00202806 | − | 0.00624171i | ||||
\(556\) | −9.55358 | − | 29.4029i | −0.405162 | − | 1.24696i | ||||
\(557\) | −1.66821 | − | 1.21203i | −0.0706844 | − | 0.0513552i | 0.551882 | − | 0.833922i | \(-0.313910\pi\) |
−0.622566 | + | 0.782567i | \(0.713910\pi\) | |||||||
\(558\) | 15.9571 | − | 11.5935i | 0.675518 | − | 0.490793i | ||||
\(559\) | −0.544523 | + | 1.67587i | −0.0230309 | + | 0.0708817i | ||||
\(560\) | −5.88604 | −0.248730 | ||||||||
\(561\) | 8.62215 | − | 2.49714i | 0.364027 | − | 0.105429i | ||||
\(562\) | 3.42617 | 0.144524 | ||||||||
\(563\) | 2.08233 | − | 6.40875i | 0.0877597 | − | 0.270096i | −0.897540 | − | 0.440934i | \(-0.854647\pi\) |
0.985299 | + | 0.170837i | \(0.0546473\pi\) | |||||||
\(564\) | 20.1666 | − | 14.6519i | 0.849168 | − | 0.616956i | ||||
\(565\) | 0.916769 | + | 0.666072i | 0.0385688 | + | 0.0280219i | ||||
\(566\) | −6.11128 | − | 18.8086i | −0.256876 | − | 0.790583i | ||||
\(567\) | −0.931702 | − | 2.86748i | −0.0391278 | − | 0.120423i | ||||
\(568\) | −1.15195 | − | 0.836941i | −0.0483347 | − | 0.0351172i | ||||
\(569\) | 15.3660 | − | 11.1641i | 0.644178 | − | 0.468023i | −0.217105 | − | 0.976148i | \(-0.569661\pi\) |
0.861283 | + | 0.508125i | \(0.169661\pi\) | |||||||
\(570\) | −0.535852 | + | 1.64918i | −0.0224444 | + | 0.0690767i | ||||
\(571\) | 25.5853 | 1.07071 | 0.535357 | − | 0.844626i | \(-0.320177\pi\) | ||||
0.535357 | + | 0.844626i | \(0.320177\pi\) | |||||||
\(572\) | −0.220372 | + | 6.83012i | −0.00921423 | + | 0.285582i | ||||
\(573\) | 24.3981 | 1.01925 | ||||||||
\(574\) | 9.48937 | − | 29.2053i | 0.396079 | − | 1.21900i | ||||
\(575\) | 7.05593 | − | 5.12644i | 0.294253 | − | 0.213787i | ||||
\(576\) | 6.85716 | + | 4.98202i | 0.285715 | + | 0.207584i | ||||
\(577\) | −3.31312 | − | 10.1967i | −0.137927 | − | 0.424496i | 0.858107 | − | 0.513471i | \(-0.171641\pi\) |
−0.996034 | + | 0.0889753i | \(0.971641\pi\) | |||||||
\(578\) | −6.02436 | − | 18.5411i | −0.250580 | − | 0.771207i | ||||
\(579\) | −7.98543 | − | 5.80175i | −0.331863 | − | 0.241113i | ||||
\(580\) | 2.32317 | − | 1.68788i | 0.0964645 | − | 0.0700856i | ||||
\(581\) | −2.89837 | + | 8.92025i | −0.120244 | + | 0.370074i | ||||
\(582\) | −32.5034 | −1.34731 | ||||||||
\(583\) | 19.2256 | + | 28.3407i | 0.796244 | + | 1.17375i | ||||
\(584\) | 0.709166 | 0.0293455 | ||||||||
\(585\) | −0.155663 | + | 0.479080i | −0.00643585 | + | 0.0198075i | ||||
\(586\) | −19.1568 | + | 13.9182i | −0.791359 | + | 0.574956i | ||||
\(587\) | −3.19934 | − | 2.32446i | −0.132051 | − | 0.0959407i | 0.519799 | − | 0.854289i | \(-0.326007\pi\) |
−0.651850 | + | 0.758348i | \(0.726007\pi\) | |||||||
\(588\) | 1.33106 | + | 4.09657i | 0.0548919 | + | 0.168940i | ||||
\(589\) | −5.16735 | − | 15.9035i | −0.212917 | − | 0.655290i | ||||
\(590\) | 0.0991015 | + | 0.0720015i | 0.00407994 | + | 0.00296425i | ||||
\(591\) | 4.53695 | − | 3.29629i | 0.186625 | − | 0.135591i | ||||
\(592\) | −0.367579 | + | 1.13129i | −0.0151074 | + | 0.0464959i | ||||
\(593\) | −1.31718 | −0.0540902 | −0.0270451 | − | 0.999634i | \(-0.508610\pi\) | ||||
−0.0270451 | + | 0.999634i | \(0.508610\pi\) | |||||||
\(594\) | 4.10058 | − | 5.27730i | 0.168249 | − | 0.216530i | ||||
\(595\) | −4.11061 | −0.168518 | ||||||||
\(596\) | −5.33593 | + | 16.4223i | −0.218568 | + | 0.672683i | ||||
\(597\) | 16.9739 | − | 12.3323i | 0.694697 | − | 0.504727i | ||||
\(598\) | −2.99564 | − | 2.17646i | −0.122501 | − | 0.0890021i | ||||
\(599\) | 5.09417 | + | 15.6782i | 0.208142 | + | 0.640595i | 0.999570 | + | 0.0293324i | \(0.00933812\pi\) |
−0.791428 | + | 0.611263i | \(0.790662\pi\) | |||||||
\(600\) | −0.178595 | − | 0.549658i | −0.00729109 | − | 0.0224397i | ||||
\(601\) | −7.76270 | − | 5.63993i | −0.316647 | − | 0.230058i | 0.418096 | − | 0.908403i | \(-0.362697\pi\) |
−0.734743 | + | 0.678345i | \(0.762697\pi\) | |||||||
\(602\) | −8.66108 | + | 6.29264i | −0.352999 | + | 0.256469i | ||||
\(603\) | −2.58066 | + | 7.94244i | −0.105092 | + | 0.323441i | ||||
\(604\) | −29.5965 | −1.20427 | ||||||||
\(605\) | −4.68346 | + | 2.96122i | −0.190410 | + | 0.120391i | ||||
\(606\) | −23.7638 | −0.965337 | ||||||||
\(607\) | 3.10034 | − | 9.54185i | 0.125839 | − | 0.387292i | −0.868214 | − | 0.496190i | \(-0.834732\pi\) |
0.994053 | + | 0.108898i | \(0.0347321\pi\) | |||||||
\(608\) | 11.1297 | − | 8.08617i | 0.451367 | − | 0.327937i | ||||
\(609\) | 6.74865 | + | 4.90318i | 0.273469 | + | 0.198687i | ||||
\(610\) | −4.61206 | − | 14.1944i | −0.186737 | − | 0.574716i | ||||
\(611\) | −3.73852 | − | 11.5060i | −0.151244 | − | 0.465482i | ||||
\(612\) | 4.51154 | + | 3.27783i | 0.182368 | + | 0.132498i | ||||
\(613\) | 16.3499 | − | 11.8789i | 0.660365 | − | 0.479783i | −0.206421 | − | 0.978463i | \(-0.566182\pi\) |
0.866786 | + | 0.498680i | \(0.166182\pi\) | |||||||
\(614\) | 2.24527 | − | 6.91023i | 0.0906117 | − | 0.278874i | ||||
\(615\) | 2.54610 | 0.102669 | ||||||||
\(616\) | −0.747118 | + | 0.961515i | −0.0301023 | + | 0.0387405i | ||||
\(617\) | −45.4642 | −1.83032 | −0.915161 | − | 0.403089i | \(-0.867937\pi\) | ||||
−0.915161 | + | 0.403089i | \(0.867937\pi\) | |||||||
\(618\) | −1.69142 | + | 5.20566i | −0.0680390 | + | 0.209402i | ||||
\(619\) | 23.9148 | − | 17.3751i | 0.961218 | − | 0.698366i | 0.00778499 | − | 0.999970i | \(-0.497522\pi\) |
0.953433 | + | 0.301604i | \(0.0975219\pi\) | |||||||
\(620\) | −8.21916 | − | 5.97157i | −0.330089 | − | 0.239824i | ||||
\(621\) | 0.567843 | + | 1.74764i | 0.0227868 | + | 0.0701305i | ||||
\(622\) | −12.0498 | − | 37.0855i | −0.483153 | − | 1.48699i | ||||
\(623\) | −16.9412 | − | 12.3085i | −0.678735 | − | 0.493130i | ||||
\(624\) | 3.13534 | − | 2.27796i | 0.125514 | − | 0.0911912i | ||||
\(625\) | 6.56913 | − | 20.2177i | 0.262765 | − | 0.808708i | ||||
\(626\) | 36.1945 | 1.44662 | ||||||||
\(627\) | −3.18080 | − | 4.68885i | −0.127029 | − | 0.187254i | ||||
\(628\) | 24.8436 | 0.991367 | ||||||||
\(629\) | −0.256705 | + | 0.790056i | −0.0102355 | + | 0.0315016i | ||||
\(630\) | −2.47594 | + | 1.79888i | −0.0986438 | + | 0.0716689i | ||||
\(631\) | 7.94507 | + | 5.77243i | 0.316288 | + | 0.229797i | 0.734590 | − | 0.678511i | \(-0.237375\pi\) |
−0.418302 | + | 0.908308i | \(0.637375\pi\) | |||||||
\(632\) | 0.309738 | + | 0.953276i | 0.0123207 | + | 0.0379193i | ||||
\(633\) | 4.64799 | + | 14.3051i | 0.184741 | + | 0.568575i | ||||
\(634\) | −2.83882 | − | 2.06253i | −0.112744 | − | 0.0819134i | ||||
\(635\) | 5.22121 | − | 3.79343i | 0.207197 | − | 0.150538i | ||||
\(636\) | −6.57445 | + | 20.2341i | −0.260694 | + | 0.802333i | ||||
\(637\) | 2.09053 | 0.0828299 | ||||||||
\(638\) | −0.596279 | + | 18.4808i | −0.0236069 | + | 0.731662i | ||||
\(639\) | 11.6934 | 0.462584 | ||||||||
\(640\) | 0.151569 | − | 0.466482i | 0.00599130 | − | 0.0184393i | ||||
\(641\) | 3.00141 | − | 2.18065i | 0.118548 | − | 0.0861305i | −0.526931 | − | 0.849908i | \(-0.676657\pi\) |
0.645480 | + | 0.763777i | \(0.276657\pi\) | |||||||
\(642\) | −2.10073 | − | 1.52627i | −0.0829091 | − | 0.0602370i | ||||
\(643\) | −11.8025 | − | 36.3245i | −0.465446 | − | 1.43250i | −0.858420 | − | 0.512947i | \(-0.828554\pi\) |
0.392974 | − | 0.919550i | \(-0.371446\pi\) | |||||||
\(644\) | −3.52761 | − | 10.8569i | −0.139007 | − | 0.427821i | ||||
\(645\) | −0.718114 | − | 0.521740i | −0.0282757 | − | 0.0205435i | ||||
\(646\) | 7.53751 | − | 5.47632i | 0.296559 | − | 0.215463i | ||||
\(647\) | −1.51425 | + | 4.66038i | −0.0595312 | + | 0.183218i | −0.976400 | − | 0.215971i | \(-0.930708\pi\) |
0.916869 | + | 0.399189i | \(0.130708\pi\) | |||||||
\(648\) | 0.121769 | 0.00478352 | ||||||||
\(649\) | −0.384451 | + | 0.111344i | −0.0150910 | + | 0.00437064i | ||||
\(650\) | −9.56394 | −0.375128 | ||||||||
\(651\) | 9.11984 | − | 28.0680i | 0.357435 | − | 1.10007i | ||||
\(652\) | −9.74527 | + | 7.08035i | −0.381654 | + | 0.277288i | ||||
\(653\) | 14.5884 | + | 10.5991i | 0.570887 | + | 0.414773i | 0.835427 | − | 0.549601i | \(-0.185220\pi\) |
−0.264541 | + | 0.964375i | \(0.585220\pi\) | |||||||
\(654\) | −7.18296 | − | 22.1069i | −0.280876 | − | 0.864447i | ||||
\(655\) | −1.45767 | − | 4.48624i | −0.0569558 | − | 0.175292i | ||||
\(656\) | −15.8474 | − | 11.5138i | −0.618738 | − | 0.449539i | ||||
\(657\) | −4.71162 | + | 3.42319i | −0.183818 | + | 0.133551i | ||||
\(658\) | 22.7133 | − | 69.9044i | 0.885457 | − | 2.72516i | ||||
\(659\) | −14.1253 | −0.550243 | −0.275121 | − | 0.961409i | \(-0.588718\pi\) | ||||
−0.275121 | + | 0.961409i | \(0.588718\pi\) | |||||||
\(660\) | −3.23787 | − | 1.16877i | −0.126034 | − | 0.0454943i | ||||
\(661\) | −49.7686 | −1.93578 | −0.967888 | − | 0.251383i | \(-0.919115\pi\) | ||||
−0.967888 | + | 0.251383i | \(0.919115\pi\) | |||||||
\(662\) | 3.42543 | − | 10.5424i | 0.133133 | − | 0.409741i | ||||
\(663\) | 2.18961 | − | 1.59085i | 0.0850375 | − | 0.0617833i | ||||
\(664\) | −0.306457 | − | 0.222654i | −0.0118928 | − | 0.00864064i | ||||
\(665\) | 0.801777 | + | 2.46762i | 0.0310916 | + | 0.0956900i | ||||
\(666\) | 0.191122 | + | 0.588213i | 0.00740583 | + | 0.0227928i | ||||
\(667\) | −4.11309 | − | 2.98834i | −0.159260 | − | 0.115709i | ||||
\(668\) | 17.6846 | − | 12.8486i | 0.684239 | − | 0.497129i | ||||
\(669\) | 5.83244 | − | 17.9504i | 0.225495 | − | 0.694003i | ||||
\(670\) | 8.47687 | 0.327490 | ||||||||
\(671\) | 45.8695 | + | 16.5575i | 1.77077 | + | 0.639194i | ||||
\(672\) | 24.2797 | 0.936611 | ||||||||
\(673\) | −1.89380 | + | 5.82853i | −0.0730008 | + | 0.224673i | −0.980899 | − | 0.194517i | \(-0.937686\pi\) |
0.907898 | + | 0.419190i | \(0.137686\pi\) | |||||||
\(674\) | −7.08841 | + | 5.15003i | −0.273035 | + | 0.198372i | ||||
\(675\) | 3.83980 | + | 2.78978i | 0.147794 | + | 0.107379i | ||||
\(676\) | 0.636708 | + | 1.95958i | 0.0244888 | + | 0.0753687i | ||||
\(677\) | −2.03380 | − | 6.25941i | −0.0781654 | − | 0.240569i | 0.904337 | − | 0.426820i | \(-0.140366\pi\) |
−0.982502 | + | 0.186251i | \(0.940366\pi\) | |||||||
\(678\) | −3.66728 | − | 2.66444i | −0.140841 | − | 0.102327i | ||||
\(679\) | −39.3455 | + | 28.5861i | −1.50994 | + | 1.09704i | ||||
\(680\) | 0.0513014 | − | 0.157889i | 0.00196732 | − | 0.00605478i | ||||
\(681\) | 18.4933 | 0.708666 | ||||||||
\(682\) | 62.8351 | − | 18.1982i | 2.40608 | − | 0.696846i | ||||
\(683\) | −34.3084 | −1.31277 | −0.656387 | − | 0.754425i | \(-0.727916\pi\) | ||||
−0.656387 | + | 0.754425i | \(0.727916\pi\) | |||||||
\(684\) | 1.08771 | − | 3.34764i | 0.0415898 | − | 0.128000i | ||||
\(685\) | −1.58205 | + | 1.14943i | −0.0604471 | + | 0.0439174i | ||||
\(686\) | −24.1309 | − | 17.5321i | −0.921320 | − | 0.669379i | ||||
\(687\) | 3.20872 | + | 9.87541i | 0.122420 | + | 0.376771i | ||||
\(688\) | 2.11029 | + | 6.49481i | 0.0804541 | + | 0.247612i | ||||
\(689\) | 8.35366 | + | 6.06929i | 0.318249 | + | 0.231221i | ||||
\(690\) | 1.50901 | − | 1.09636i | 0.0574470 | − | 0.0417377i | ||||
\(691\) | −9.87018 | + | 30.3773i | −0.375479 | + | 1.15561i | 0.567675 | + | 0.823252i | \(0.307843\pi\) |
−0.943155 | + | 0.332354i | \(0.892157\pi\) | |||||||
\(692\) | 34.9214 | 1.32751 | ||||||||
\(693\) | 0.322473 | − | 9.99459i | 0.0122498 | − | 0.379663i | ||||
\(694\) | −27.4202 | −1.04086 | ||||||||
\(695\) | 2.33566 | − | 7.18843i | 0.0885968 | − | 0.272673i | ||||
\(696\) | −0.272557 | + | 0.198024i | −0.0103312 | + | 0.00750609i | ||||
\(697\) | −11.0673 | − | 8.04086i | −0.419204 | − | 0.304569i | ||||
\(698\) | −14.7778 | − | 45.4813i | −0.559347 | − | 1.72149i | ||||
\(699\) | −3.12152 | − | 9.60704i | −0.118067 | − | 0.363372i | ||||
\(700\) | −23.8540 | − | 17.3309i | −0.901596 | − | 0.655048i | ||||
\(701\) | 28.5661 | − | 20.7545i | 1.07893 | − | 0.783887i | 0.101433 | − | 0.994842i | \(-0.467657\pi\) |
0.977496 | + | 0.210955i | \(0.0676573\pi\) | |||||||
\(702\) | 0.622685 | − | 1.91643i | 0.0235017 | − | 0.0723309i | ||||
\(703\) | 0.524345 | 0.0197760 | ||||||||
\(704\) | 15.7815 | + | 23.2636i | 0.594787 | + | 0.876781i | ||||
\(705\) | 6.09424 | 0.229522 | ||||||||
\(706\) | 4.58142 | − | 14.1002i | 0.172424 | − | 0.530667i | ||||
\(707\) | −28.7661 | + | 20.8998i | −1.08186 | + | 0.786019i | ||||
\(708\) | −0.201164 | − | 0.146154i | −0.00756021 | − | 0.00549281i | ||||
\(709\) | −16.3320 | − | 50.2647i | −0.613360 | − | 1.88773i | −0.423422 | − | 0.905933i | \(-0.639171\pi\) |
−0.189939 | − | 0.981796i | \(-0.560829\pi\) | |||||||
\(710\) | −3.66784 | − | 11.2885i | −0.137652 | − | 0.423648i | ||||
\(711\) | −6.65940 | − | 4.83833i | −0.249747 | − | 0.181452i | ||||
\(712\) | 0.684203 | − | 0.497103i | 0.0256416 | − | 0.0186297i | ||||
\(713\) | −5.55826 | + | 17.1066i | −0.208158 | + | 0.640646i | ||||
\(714\) | 16.4433 | 0.615377 | ||||||||
\(715\) | −1.02509 | + | 1.31925i | −0.0383361 | + | 0.0493373i | ||||
\(716\) | −8.12626 | −0.303693 | ||||||||
\(717\) | −8.72096 | + | 26.8403i | −0.325690 | + | 1.00237i | ||||
\(718\) | −30.2452 | + | 21.9744i | −1.12874 | + | 0.820079i | ||||
\(719\) | 20.7156 | + | 15.0508i | 0.772562 | + | 0.561299i | 0.902737 | − | 0.430192i | \(-0.141554\pi\) |
−0.130176 | + | 0.991491i | \(0.541554\pi\) | |||||||
\(720\) | 0.603269 | + | 1.85667i | 0.0224825 | + | 0.0691940i | ||||
\(721\) | 2.53082 | + | 7.78905i | 0.0942525 | + | 0.290080i | ||||
\(722\) | 26.2163 | + | 19.0473i | 0.975671 | + | 0.708867i | ||||
\(723\) | −16.3900 | + | 11.9080i | −0.609551 | + | 0.442865i | ||||
\(724\) | 0.214422 | − | 0.659922i | 0.00796892 | − | 0.0245258i | ||||
\(725\) | −13.1315 | −0.487693 | ||||||||
\(726\) | 18.7349 | − | 11.8455i | 0.695316 | − | 0.439629i | ||||
\(727\) | −0.251233 | −0.00931771 | −0.00465886 | − | 0.999989i | \(-0.501483\pi\) | ||||
−0.00465886 | + | 0.999989i | \(0.501483\pi\) | |||||||
\(728\) | −0.113452 | + | 0.349169i | −0.00420481 | + | 0.0129411i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | 4.78254 | + | 3.47472i | 0.177010 | + | 0.128605i | ||||
\(731\) | 1.47376 | + | 4.53575i | 0.0545088 | + | 0.167761i | ||||
\(732\) | 9.36191 | + | 28.8130i | 0.346026 | + | 1.06496i | ||||
\(733\) | −8.96150 | − | 6.51091i | −0.331001 | − | 0.240486i | 0.409855 | − | 0.912151i | \(-0.365579\pi\) |
−0.740855 | + | 0.671665i | \(0.765579\pi\) | |||||||
\(734\) | 41.0620 | − | 29.8333i | 1.51562 | − | 1.10117i | ||||
\(735\) | −0.325417 | + | 1.00153i | −0.0120032 | + | 0.0369421i | ||||
\(736\) | −14.7977 | −0.545452 | ||||||||
\(737\) | −16.9945 | + | 21.8713i | −0.625999 | + | 0.805638i | ||||
\(738\) | −10.1850 | −0.374914 | ||||||||
\(739\) | −6.79912 | + | 20.9255i | −0.250110 | + | 0.769758i | 0.744644 | + | 0.667461i | \(0.232619\pi\) |
−0.994754 | + | 0.102297i | \(0.967381\pi\) | |||||||
\(740\) | 0.257727 | − | 0.187249i | 0.00947422 | − | 0.00688343i | ||||
\(741\) | −1.38208 | − | 1.00414i | −0.0507719 | − | 0.0368879i | ||||
\(742\) | 19.3857 | + | 59.6631i | 0.711672 | + | 2.19030i | ||||
\(743\) | 11.4320 | + | 35.1841i | 0.419400 | + | 1.29078i | 0.908256 | + | 0.418416i | \(0.137415\pi\) |
−0.488856 | + | 0.872365i | \(0.662585\pi\) | |||||||
\(744\) | 0.964280 | + | 0.700591i | 0.0353522 | + | 0.0256849i | ||||
\(745\) | −3.41530 | + | 2.48136i | −0.125127 | + | 0.0909101i | ||||
\(746\) | 2.97007 | − | 9.14094i | 0.108742 | − | 0.334673i | ||||
\(747\) | 3.11083 | 0.113819 | ||||||||
\(748\) | 10.3831 | + | 15.3059i | 0.379645 | + | 0.559639i | ||||
\(749\) | −3.88526 | −0.141964 | ||||||||
\(750\) | 3.05709 | − | 9.40874i | 0.111629 | − | 0.343559i | ||||
\(751\) | 4.47236 | − | 3.24936i | 0.163199 | − | 0.118571i | −0.503188 | − | 0.864177i | \(-0.667840\pi\) |
0.666387 | + | 0.745606i | \(0.267840\pi\) | |||||||
\(752\) | −37.9317 | − | 27.5590i | −1.38323 | − | 1.00497i | ||||
\(753\) | −3.72780 | − | 11.4730i | −0.135849 | − | 0.418099i | ||||
\(754\) | 1.72279 | + | 5.30221i | 0.0627404 | + | 0.193095i | ||||
\(755\) | −5.85386 | − | 4.25308i | −0.213044 | − | 0.154785i | ||||
\(756\) | 5.02586 | − | 3.65150i | 0.182789 | − | 0.132804i | ||||
\(757\) | −10.5945 | + | 32.6065i | −0.385063 | + | 1.18510i | 0.551371 | + | 0.834260i | \(0.314105\pi\) |
−0.936434 | + | 0.350843i | \(0.885895\pi\) | |||||||
\(758\) | 33.3835 | 1.21254 | ||||||||
\(759\) | −0.196538 | + | 6.09139i | −0.00713386 | + | 0.221104i | ||||
\(760\) | −0.104788 | −0.00380106 | ||||||||
\(761\) | −15.2850 | + | 47.0425i | −0.554082 | + | 1.70529i | 0.144275 | + | 0.989538i | \(0.453915\pi\) |
−0.698356 | + | 0.715750i | \(0.746085\pi\) | |||||||
\(762\) | −20.8860 | + | 15.1746i | −0.756620 | + | 0.549716i | ||||
\(763\) | −28.1376 | − | 20.4432i | −1.01865 | − | 0.740092i | ||||
\(764\) | 15.5345 | + | 47.8102i | 0.562018 | + | 1.72971i | ||||
\(765\) | 0.421302 | + | 1.29663i | 0.0152322 | + | 0.0468799i | ||||
\(766\) | −51.7945 | − | 37.6309i | −1.87141 | − | 1.35966i | ||||
\(767\) | −0.0976321 | + | 0.0709338i | −0.00352529 | + | 0.00256127i | ||||
\(768\) | 4.63209 | − | 14.2561i | 0.167146 | − | 0.514423i | ||||
\(769\) | −27.9826 | −1.00908 | −0.504540 | − | 0.863388i | \(-0.668338\pi\) | ||||
−0.504540 | + | 0.863388i | \(0.668338\pi\) | |||||||
\(770\) | −9.74963 | + | 2.82368i | −0.351352 | + | 0.101758i | ||||
\(771\) | 20.3114 | 0.731496 | ||||||||
\(772\) | 6.28464 | − | 19.3421i | 0.226189 | − | 0.696139i | ||||
\(773\) | 3.87115 | − | 2.81255i | 0.139236 | − | 0.101161i | −0.515987 | − | 0.856596i | \(-0.672575\pi\) |
0.655223 | + | 0.755436i | \(0.272575\pi\) | |||||||
\(774\) | 2.87261 | + | 2.08708i | 0.103254 | + | 0.0750184i | ||||
\(775\) | 14.3563 | + | 44.1842i | 0.515695 | + | 1.58714i | ||||
\(776\) | −0.606960 | − | 1.86803i | −0.0217886 | − | 0.0670584i | ||||
\(777\) | 0.748677 | + | 0.543946i | 0.0268586 | + | 0.0195139i | ||||
\(778\) | −4.82971 | + | 3.50899i | −0.173154 | + | 0.125803i | ||||
\(779\) | −2.66828 | + | 8.21212i | −0.0956011 | + | 0.294230i | ||||
\(780\) | −1.03791 | −0.0371631 | ||||||||
\(781\) | 36.4788 | + | 13.1677i | 1.30531 | + | 0.471178i | ||||
\(782\) | −10.0217 | −0.358375 | ||||||||
\(783\) | 0.854962 | − | 2.63130i | 0.0305539 | − | 0.0940351i | ||||
\(784\) | 6.55452 | − | 4.76214i | 0.234090 | − | 0.170076i | ||||
\(785\) | 4.91378 | + | 3.57007i | 0.175380 | + | 0.127421i | ||||
\(786\) | 5.83100 | + | 17.9460i | 0.207985 | + | 0.640111i | ||||
\(787\) | −7.86019 | − | 24.1912i | −0.280185 | − | 0.862322i | −0.987801 | − | 0.155724i | \(-0.950229\pi\) |
0.707615 | − | 0.706598i | \(-0.249771\pi\) | |||||||
\(788\) | 9.34807 | + | 6.79177i | 0.333011 | + | 0.241947i | ||||
\(789\) | −21.5099 | + | 15.6279i | −0.765773 | + | 0.556366i | ||||
\(790\) | −2.58195 | + | 7.94642i | −0.0918615 | + | 0.282721i | ||||
\(791\) | −6.78258 | −0.241161 | ||||||||
\(792\) | 0.379870 | + | 0.137121i | 0.0134981 | + | 0.00487239i | ||||
\(793\) | 14.7036 | 0.522141 | ||||||||
\(794\) | 14.5021 | − | 44.6330i | 0.514661 | − | 1.58396i | ||||
\(795\) | −4.20803 | + | 3.05731i | −0.149243 | + | 0.108432i | ||||
\(796\) | 34.9736 | + | 25.4098i | 1.23961 | + | 0.900627i | ||||
\(797\) | 9.60827 | + | 29.5712i | 0.340342 | + | 1.04747i | 0.964030 | + | 0.265793i | \(0.0856337\pi\) |
−0.623688 | + | 0.781674i | \(0.714366\pi\) | |||||||
\(798\) | −3.20729 | − | 9.87101i | −0.113537 | − | 0.349430i | ||||
\(799\) | −26.4902 | − | 19.2462i | −0.937155 | − | 0.680883i | ||||
\(800\) | −30.9213 | + | 22.4656i | −1.09323 | + | 0.794280i | ||||
\(801\) | −2.14622 | + | 6.60539i | −0.0758330 | + | 0.233390i | ||||
\(802\) | −0.331527 | −0.0117066 | ||||||||
\(803\) | −18.5532 | + | 5.37335i | −0.654728 | + | 0.189621i | ||||
\(804\) | −17.2070 | −0.606845 | ||||||||
\(805\) | 0.862432 | − | 2.65429i | 0.0303967 | − | 0.0935515i | ||||
\(806\) | 15.9571 | − | 11.5935i | 0.562065 | − | 0.408364i | ||||
\(807\) | 18.1723 | + | 13.2030i | 0.639697 | + | 0.464767i | ||||
\(808\) | −0.443759 | − | 1.36575i | −0.0156114 | − | 0.0480469i | ||||
\(809\) | 11.1056 | + | 34.1796i | 0.390454 | + | 1.20169i | 0.932446 | + | 0.361309i | \(0.117670\pi\) |
−0.541993 | + | 0.840383i | \(0.682330\pi\) | |||||||
\(810\) | 0.821193 | + | 0.596632i | 0.0288538 | + | 0.0209635i | ||||
\(811\) | 33.5233 | − | 24.3561i | 1.17716 | − | 0.855258i | 0.185313 | − | 0.982680i | \(-0.440670\pi\) |
0.991849 | + | 0.127422i | \(0.0406702\pi\) | |||||||
\(812\) | −5.31128 | + | 16.3464i | −0.186389 | + | 0.573648i | ||||
\(813\) | −18.1030 | −0.634901 | ||||||||
\(814\) | −0.0661497 | + | 2.05021i | −0.00231854 | + | 0.0718599i | ||||
\(815\) | −2.94497 | −0.103158 | ||||||||
\(816\) | 3.24129 | − | 9.97568i | 0.113468 | − | 0.349219i | ||||
\(817\) | 2.43538 | − | 1.76940i | 0.0852031 | − | 0.0619036i | ||||
\(818\) | −33.5709 | − | 24.3907i | −1.17378 | − | 0.852801i | ||||
\(819\) | −0.931702 | − | 2.86748i | −0.0325563 | − | 0.100198i | ||||
\(820\) | 1.62112 | + | 4.98931i | 0.0566121 | + | 0.174234i | ||||
\(821\) | −38.1166 | − | 27.6933i | −1.33028 | − | 0.966503i | −0.999742 | − | 0.0227091i | \(-0.992771\pi\) |
−0.330535 | − | 0.943794i | \(-0.607229\pi\) | |||||||
\(822\) | 6.32856 | − | 4.59797i | 0.220734 | − | 0.160373i | ||||
\(823\) | −1.67351 | + | 5.15053i | −0.0583349 | + | 0.179536i | −0.975978 | − | 0.217869i | \(-0.930089\pi\) |
0.917643 | + | 0.397406i | \(0.130089\pi\) | |||||||
\(824\) | −0.330765 | −0.0115227 | ||||||||
\(825\) | 8.83715 | + | 13.0269i | 0.307670 | + | 0.453539i | ||||
\(826\) | −0.733188 | −0.0255109 | ||||||||
\(827\) | −1.40736 | + | 4.33142i | −0.0489388 | + | 0.150618i | −0.972540 | − | 0.232738i | \(-0.925232\pi\) |
0.923601 | + | 0.383356i | \(0.125232\pi\) | |||||||
\(828\) | −3.06310 | + | 2.22547i | −0.106450 | + | 0.0773406i | ||||
\(829\) | 0.265751 | + | 0.193080i | 0.00922993 | + | 0.00670594i | 0.592391 | − | 0.805651i | \(-0.298184\pi\) |
−0.583161 | + | 0.812357i | \(0.698184\pi\) | |||||||
\(830\) | −0.975767 | − | 3.00310i | −0.0338694 | − | 0.104239i | ||||
\(831\) | −7.20212 | − | 22.1658i | −0.249839 | − | 0.768924i | ||||
\(832\) | 6.85716 | + | 4.98202i | 0.237729 | + | 0.172720i | ||||
\(833\) | 4.57745 | − | 3.32571i | 0.158599 | − | 0.115229i | ||||
\(834\) | −9.34317 | + | 28.7553i | −0.323528 | + | 0.995716i | ||||
\(835\) | 5.34420 | 0.184944 | ||||||||
\(836\) | 7.16295 | − | 9.21847i | 0.247736 | − | 0.318827i | ||||
\(837\) | −9.78837 | −0.338336 | ||||||||
\(838\) | −11.0118 | + | 33.8909i | −0.380397 | + | 1.17074i | ||||
\(839\) | −14.8942 | + | 10.8212i | −0.514204 | + | 0.373591i | −0.814416 | − | 0.580282i | \(-0.802942\pi\) |
0.300212 | + | 0.953872i | \(0.402942\pi\) | |||||||
\(840\) | −0.149620 | − | 0.108705i | −0.00516238 | − | 0.00375069i | ||||
\(841\) | −6.59606 | − | 20.3006i | −0.227450 | − | 0.700020i | ||||
\(842\) | −9.35127 | − | 28.7802i | −0.322266 | − | 0.991833i | ||||
\(843\) | −1.37556 | − | 0.999406i | −0.0473770 | − | 0.0344214i | ||||
\(844\) | −25.0726 | + | 18.2163i | −0.863033 | + | 0.627030i | ||||
\(845\) | −0.155663 | + | 0.479080i | −0.00535495 | + | 0.0164809i | ||||
\(846\) | −24.3783 | −0.838144 | ||||||||
\(847\) | 12.2607 | − | 30.8161i | 0.421283 | − | 1.05885i | ||||
\(848\) | 40.0171 | 1.37419 | ||||||||
\(849\) | −3.03282 | + | 9.33405i | −0.104086 | + | 0.320344i | ||||
\(850\) | −20.9413 | + | 15.2148i | −0.718281 | + | 0.521862i | ||||
\(851\) | −0.456295 | − | 0.331518i | −0.0156416 | − | 0.0113643i | ||||
\(852\) | 7.44528 | + | 22.9142i | 0.255071 | + | 0.785028i | ||||
\(853\) | −8.26753 | − | 25.4448i | −0.283075 | − | 0.871215i | −0.986969 | − | 0.160910i | \(-0.948557\pi\) |
0.703894 | − | 0.710305i | \(-0.251443\pi\) | |||||||
\(854\) | 72.2708 | + | 52.5078i | 2.47305 | + | 1.79678i | ||||
\(855\) | 0.696200 | − | 0.505819i | 0.0238095 | − | 0.0172986i | ||||
\(856\) | 0.0484890 | − | 0.149234i | 0.00165732 | − | 0.00510071i | ||||
\(857\) | 13.4817 | 0.460525 | 0.230263 | − | 0.973129i | \(-0.426042\pi\) | ||||
0.230263 | + | 0.973129i | \(0.426042\pi\) | |||||||
\(858\) | 4.10058 | − | 5.27730i | 0.139992 | − | 0.180164i | ||||
\(859\) | −45.3445 | −1.54713 | −0.773566 | − | 0.633715i | \(-0.781529\pi\) | ||||
−0.773566 | + | 0.633715i | \(0.781529\pi\) | |||||||
\(860\) | 0.565166 | − | 1.73940i | 0.0192720 | − | 0.0593131i | ||||
\(861\) | −12.3290 | + | 8.95752i | −0.420170 | + | 0.305271i | ||||
\(862\) | −13.4388 | − | 9.76388i | −0.457728 | − | 0.332559i | ||||
\(863\) | −7.33942 | − | 22.5884i | −0.249837 | − | 0.768918i | −0.994803 | − | 0.101816i | \(-0.967535\pi\) |
0.744966 | − | 0.667102i | \(-0.232465\pi\) | |||||||
\(864\) | −2.48847 | − | 7.65871i | −0.0846593 | − | 0.260555i | ||||
\(865\) | 6.90705 | + | 5.01827i | 0.234847 | + | 0.170626i | ||||
\(866\) | 28.6355 | − | 20.8049i | 0.973074 | − | 0.706980i | ||||
\(867\) | −2.98968 | + | 9.20129i | −0.101535 | + | 0.312492i | ||||
\(868\) | 60.8083 | 2.06397 | ||||||||
\(869\) | −15.3263 | − | 22.5927i | −0.519910 | − | 0.766405i | ||||
\(870\) | −2.80836 | −0.0952122 | ||||||||
\(871\) | −2.58066 | + | 7.94244i | −0.0874422 | + | 0.269119i | ||||
\(872\) | 1.13639 | − | 0.825636i | 0.0384831 | − | 0.0279596i | ||||
\(873\) | 13.0497 | + | 9.48115i | 0.441665 | + | 0.320888i | ||||
\(874\) | 1.95474 | + | 6.01608i | 0.0661201 | + | 0.203497i | ||||
\(875\) | −4.57421 | − | 14.0780i | −0.154637 | − | 0.475923i | ||||
\(876\) | −9.70796 | − | 7.05325i | −0.328002 | − | 0.238307i | ||||
\(877\) | 44.9065 | − | 32.6265i | 1.51638 | − | 1.10172i | 0.553141 | − | 0.833088i | \(-0.313429\pi\) |
0.963243 | − | 0.268630i | \(-0.0865708\pi\) | |||||||
\(878\) | 21.8421 | − | 67.2232i | 0.737137 | − | 2.26867i | ||||
\(879\) | 11.7511 | 0.396355 | ||||||||
\(880\) | −0.208799 | + | 6.47141i | −0.00703860 | + | 0.218151i | ||||
\(881\) | −17.3766 | −0.585432 | −0.292716 | − | 0.956199i | \(-0.594559\pi\) | ||||
−0.292716 | + | 0.956199i | \(0.594559\pi\) | |||||||
\(882\) | 1.30174 | − | 4.00635i | 0.0438319 | − | 0.134901i | ||||
\(883\) | −41.2893 | + | 29.9984i | −1.38949 | + | 1.00953i | −0.393574 | + | 0.919293i | \(0.628762\pi\) |
−0.995921 | + | 0.0902344i | \(0.971238\pi\) | |||||||
\(884\) | 4.51154 | + | 3.27783i | 0.151740 | + | 0.110245i | ||||
\(885\) | −0.0187853 | − | 0.0578153i | −0.000631462 | − | 0.00194344i | ||||
\(886\) | 22.6697 | + | 69.7701i | 0.761603 | + | 2.34397i | ||||
\(887\) | −10.6419 | − | 7.73183i | −0.357322 | − | 0.259609i | 0.394612 | − | 0.918848i | \(-0.370879\pi\) |
−0.751934 | + | 0.659238i | \(0.770879\pi\) | |||||||
\(888\) | −0.0302368 | + | 0.0219683i | −0.00101468 | + | 0.000737207i | ||||
\(889\) | −11.9368 | + | 36.7377i | −0.400348 | + | 1.23214i | ||||
\(890\) | 7.04985 | 0.236312 | ||||||||
\(891\) | −3.18571 | + | 0.922641i | −0.106725 | + | 0.0309096i | ||||
\(892\) | 38.8889 | 1.30210 | ||||||||
\(893\) | −6.38667 | + | 19.6562i | −0.213722 | + | 0.657768i | ||||
\(894\) | 13.6620 | − | 9.92600i | 0.456925 | − | 0.331975i | ||||
\(895\) | −1.60728 | − | 1.16776i | −0.0537255 | − | 0.0390339i | ||||
\(896\) | 0.907202 | + | 2.79208i | 0.0303075 | + | 0.0932768i | ||||
\(897\) | 0.567843 | + | 1.74764i | 0.0189597 | + | 0.0583521i | ||||
\(898\) | −35.1193 | − | 25.5157i | −1.17195 | − | 0.851469i | ||||
\(899\) | 21.9095 | − | 15.9182i | 0.730723 | − | 0.530901i | ||||
\(900\) | −3.02198 | + | 9.30068i | −0.100733 | + | 0.310023i | ||||
\(901\) | 27.9466 | 0.931035 | ||||||||
\(902\) | −31.7731 | − | 11.4691i | −1.05793 | − | 0.381879i | ||||
\(903\) | 5.31286 | 0.176801 | ||||||||
\(904\) | 0.0846483 | − | 0.260521i | 0.00281536 | − | 0.00866479i | ||||
\(905\) | 0.137242 | − | 0.0997124i | 0.00456209 | − | 0.00331455i | ||||
\(906\) | 23.4168 | + | 17.0133i | 0.777970 | + | 0.565228i | ||||
\(907\) | 4.63498 | + | 14.2650i | 0.153902 | + | 0.473662i | 0.998048 | − | 0.0624515i | \(-0.0198919\pi\) |
−0.844146 | + | 0.536114i | \(0.819892\pi\) | |||||||
\(908\) | 11.7748 | + | 36.2393i | 0.390762 | + | 1.20264i | ||||
\(909\) | 9.54085 | + | 6.93183i | 0.316450 | + | 0.229914i | ||||
\(910\) | −2.47594 | + | 1.79888i | −0.0820766 | + | 0.0596321i | ||||
\(911\) | 8.77559 | − | 27.0085i | 0.290748 | − | 0.894831i | −0.693868 | − | 0.720102i | \(-0.744095\pi\) |
0.984617 | − | 0.174729i | \(-0.0559050\pi\) | |||||||
\(912\) | −6.62066 | −0.219232 | ||||||||
\(913\) | 9.70456 | + | 3.50304i | 0.321174 | + | 0.115934i | ||||
\(914\) | −40.1312 | −1.32742 | ||||||||
\(915\) | −2.28880 | + | 7.04421i | −0.0756655 | + | 0.232874i | ||||
\(916\) | −17.3087 | + | 12.5755i | −0.571896 | + | 0.415506i | ||||
\(917\) | 22.8416 | + | 16.5954i | 0.754297 | + | 0.548029i | ||||
\(918\) | −1.68530 | − | 5.18683i | −0.0556233 | − | 0.171191i | ||||
\(919\) | 3.87049 | + | 11.9121i | 0.127676 | + | 0.392945i | 0.994379 | − | 0.105879i | \(-0.0337655\pi\) |
−0.866703 | + | 0.498824i | \(0.833766\pi\) | |||||||
\(920\) | 0.0911887 | + | 0.0662524i | 0.00300640 | + | 0.00218428i | ||||
\(921\) | −2.91714 | + | 2.11943i | −0.0961231 | + | 0.0698375i | ||||
\(922\) | −11.2051 | + | 34.4859i | −0.369021 | + | 1.13573i | ||||
\(923\) | 11.6934 | 0.384893 | ||||||||
\(924\) | 19.7906 | − | 5.73172i | 0.651062 | − | 0.188560i | ||||
\(925\) | −1.45678 | −0.0478985 | ||||||||
\(926\) | −5.60582 | + | 17.2529i | −0.184219 | + | 0.566967i | ||||
\(927\) | 2.19756 | − | 1.59662i | 0.0721774 | − | 0.0524400i | ||||
\(928\) | 18.0248 | + | 13.0958i | 0.591694 | + | 0.429891i | ||||
\(929\) | 13.1996 | + | 40.6242i | 0.433065 | + | 1.33284i | 0.895057 | + | 0.445952i | \(0.147135\pi\) |
−0.461992 | + | 0.886884i | \(0.652865\pi\) | |||||||
\(930\) | 3.07030 | + | 9.44940i | 0.100679 | + | 0.309858i | ||||
\(931\) | −2.88928 | − | 2.09918i | −0.0946922 | − | 0.0687979i | ||||
\(932\) | 16.8383 | − | 12.2338i | 0.551557 | − | 0.400730i | ||||
\(933\) | −5.97990 | + | 18.4042i | −0.195773 | + | 0.602527i | ||||
\(934\) | −71.0927 | −2.32622 | ||||||||
\(935\) | −0.145818 | + | 4.51941i | −0.00476875 | + | 0.147800i | ||||
\(936\) | 0.121769 | 0.00398013 | ||||||||
\(937\) | −13.5892 | + | 41.8232i | −0.443939 | + | 1.36630i | 0.439704 | + | 0.898143i | \(0.355083\pi\) |
−0.883643 | + | 0.468161i | \(0.844917\pi\) | |||||||
\(938\) | −41.0474 | + | 29.8227i | −1.34025 | + | 0.973746i | ||||
\(939\) | −14.5316 | − | 10.5578i | −0.474222 | − | 0.344542i | ||||
\(940\) | 3.88025 | + | 11.9422i | 0.126560 | + | 0.389511i | ||||
\(941\) | −13.9940 | − | 43.0692i | −0.456193 | − | 1.40402i | −0.869729 | − | 0.493529i | \(-0.835707\pi\) |
0.413536 | − | 0.910488i | \(-0.364293\pi\) | |||||||
\(942\) | −19.6562 | − | 14.2811i | −0.640434 | − | 0.465303i | ||||
\(943\) | 7.51412 | − | 5.45933i | 0.244693 | − | 0.177780i | ||||
\(944\) | −0.144525 | + | 0.444803i | −0.00470390 | + | 0.0144771i | ||||
\(945\) | 1.51879 | 0.0494061 | ||||||||
\(946\) | 6.61121 | + | 9.74565i | 0.214949 | + | 0.316858i | ||||
\(947\) | −5.38326 | −0.174932 | −0.0874662 | − | 0.996167i | \(-0.527877\pi\) | ||||
−0.0874662 | + | 0.996167i | \(0.527877\pi\) | |||||||
\(948\) | 5.24104 | − | 16.1303i | 0.170221 | − | 0.523886i | ||||
\(949\) | −4.71162 | + | 3.42319i | −0.152946 | + | 0.111122i | ||||
\(950\) | 13.2181 | + | 9.60351i | 0.428852 | + | 0.311579i | ||||
\(951\) | 0.538117 | + | 1.65616i | 0.0174497 | + | 0.0537045i | ||||
\(952\) | 0.307059 | + | 0.945030i | 0.00995184 | + | 0.0306286i | ||||
\(953\) | −28.3584 | − | 20.6036i | −0.918617 | − | 0.667415i | 0.0245622 | − | 0.999698i | \(-0.492181\pi\) |
−0.943179 | + | 0.332284i | \(0.892181\pi\) | |||||||
\(954\) | 16.8330 | − | 12.2299i | 0.544990 | − | 0.395958i | ||||
\(955\) | −3.79788 | + | 11.6887i | −0.122896 | + | 0.378236i | ||||
\(956\) | −58.1486 | −1.88066 | ||||||||
\(957\) | 5.63020 | − | 7.24587i | 0.181999 | − | 0.234226i | ||||
\(958\) | 30.9678 | 1.00052 | ||||||||
\(959\) | 3.61691 | − | 11.1317i | 0.116796 | − | 0.359462i | ||||
\(960\) | −3.45419 | + | 2.50961i | −0.111483 | + | 0.0809974i | ||||
\(961\) | −52.4342 | − | 38.0956i | −1.69142 | − | 1.22889i | ||||
\(962\) | 0.191122 | + | 0.588213i | 0.00616202 | + | 0.0189647i | ||||
\(963\) | 0.398206 | + | 1.22555i | 0.0128320 | + | 0.0394929i | ||||
\(964\) | −33.7705 | − | 24.5357i | −1.08767 | − | 0.790241i | ||||
\(965\) | 4.02254 | − | 2.92254i | 0.129490 | − | 0.0940800i | ||||
\(966\) | −3.44992 | + | 10.6178i | −0.110999 | + | 0.341621i | ||||
\(967\) | −38.3000 | −1.23164 | −0.615822 | − | 0.787885i | \(-0.711176\pi\) | ||||
−0.615822 | + | 0.787885i | \(0.711176\pi\) | |||||||
\(968\) | 1.03064 | + | 0.855528i | 0.0331259 | + | 0.0274977i | ||||
\(969\) | −4.62364 | −0.148533 | ||||||||
\(970\) | 5.05956 | − | 15.5717i | 0.162453 | − | 0.499978i | ||||
\(971\) | 18.6535 | − | 13.5525i | 0.598619 | − | 0.434922i | −0.246770 | − | 0.969074i | \(-0.579369\pi\) |
0.845388 | + | 0.534152i | \(0.179369\pi\) | |||||||
\(972\) | −1.66692 | − | 1.21109i | −0.0534666 | − | 0.0388457i | ||||
\(973\) | 13.9799 | + | 43.0256i | 0.448174 | + | 1.37934i | ||||
\(974\) | 21.0537 | + | 64.7967i | 0.674605 | + | 2.07622i | ||||
\(975\) | 3.83980 | + | 2.78978i | 0.122972 | + | 0.0893444i | ||||
\(976\) | 46.1008 | − | 33.4942i | 1.47565 | − | 1.07212i | ||||
\(977\) | 12.4301 | − | 38.2560i | 0.397675 | − | 1.22392i | −0.529183 | − | 0.848508i | \(-0.677502\pi\) |
0.926858 | − | 0.375411i | \(-0.122498\pi\) | |||||||
\(978\) | 11.7805 | 0.376699 | ||||||||
\(979\) | −14.1336 | + | 18.1894i | −0.451711 | + | 0.581336i | ||||
\(980\) | −2.16978 | −0.0693112 | ||||||||
\(981\) | −3.56465 | + | 10.9709i | −0.113811 | + | 0.350273i | ||||
\(982\) | 34.1336 | − | 24.7995i | 1.08925 | − | 0.791385i | ||||
\(983\) | −46.5183 | − | 33.7975i | −1.48370 | − | 1.07797i | −0.976340 | − | 0.216239i | \(-0.930621\pi\) |
−0.507362 | − | 0.861733i | \(-0.669379\pi\) | |||||||
\(984\) | −0.190192 | − | 0.585350i | −0.00606309 | − | 0.0186603i | ||||
\(985\) | 0.872953 | + | 2.68667i | 0.0278146 | + | 0.0856045i | ||||
\(986\) | 12.2072 | + | 8.86908i | 0.388758 | + | 0.282449i | ||||
\(987\) | −29.5100 | + | 21.4403i | −0.939315 | + | 0.682452i | ||||
\(988\) | 1.08771 | − | 3.34764i | 0.0346048 | − | 0.106503i | ||||
\(989\) | −3.23802 | −0.102963 | ||||||||
\(990\) | 1.88994 | + | 2.78599i | 0.0600664 | + | 0.0885444i | ||||
\(991\) | 35.8103 | 1.13755 | 0.568777 | − | 0.822492i | \(-0.307417\pi\) | ||||
0.568777 | + | 0.822492i | \(0.307417\pi\) | |||||||
\(992\) | 24.3580 | − | 74.9663i | 0.773368 | − | 2.38018i | ||||
\(993\) | −4.45045 | + | 3.23344i | −0.141231 | + | 0.102610i | ||||
\(994\) | 57.4750 | + | 41.7580i | 1.82300 | + | 1.32448i | ||||
\(995\) | 3.26595 | + | 10.0516i | 0.103538 | + | 0.318656i | ||||
\(996\) | 1.98069 | + | 6.09593i | 0.0627605 | + | 0.193157i | ||||
\(997\) | 18.0174 | + | 13.0904i | 0.570618 | + | 0.414578i | 0.835330 | − | 0.549749i | \(-0.185277\pi\) |
−0.264712 | + | 0.964328i | \(0.585277\pi\) | |||||||
\(998\) | 3.42881 | − | 2.49118i | 0.108537 | − | 0.0788568i | ||||
\(999\) | 0.0948472 | − | 0.291910i | 0.00300083 | − | 0.00923562i |
(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 | 429.2.n.a.196.3 | ✓ | 12 | |
11.4 | even | 5 | 4719.2.a.bg.1.6 | 6 | |||
11.5 | even | 5 | inner | 429.2.n.a.313.3 | yes | 12 | |
11.7 | odd | 10 | 4719.2.a.bh.1.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.n.a.196.3 | ✓ | 12 | 1.1 | even | 1 | trivial | |
429.2.n.a.313.3 | yes | 12 | 11.5 | even | 5 | inner | |
4719.2.a.bg.1.6 | 6 | 11.4 | even | 5 | |||
4719.2.a.bh.1.1 | 6 | 11.7 | odd | 10 |