Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [810,2,Mod(17,810)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(810, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([22, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("810.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 810 = 2 \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 810.s (of order \(36\), degree \(12\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.46788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 270) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 557.6 | ||
Character | \(\chi\) | \(=\) | 810.557 |
Dual form | 810.2.s.a.413.6 |
$q$-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 \(\left(\mathbb{Z}/810\mathbb{Z}\right)^\times\).
\(n\) | \(487\) | \(731\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{17}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.819152 | − | 0.573576i | −0.579228 | − | 0.405580i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.342020 | + | 0.939693i | 0.171010 | + | 0.469846i | ||||
\(5\) | 0.463117 | − | 2.18758i | 0.207112 | − | 0.978317i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.78738 | − | 3.83305i | −0.675567 | − | 1.44876i | −0.882457 | − | 0.470393i | \(-0.844112\pi\) |
0.206890 | − | 0.978364i | \(-0.433666\pi\) | |||||||
\(8\) | 0.258819 | − | 0.965926i | 0.0915064 | − | 0.341506i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.63411 | + | 1.52633i | −0.516751 | + | 0.482668i | ||||
\(11\) | −3.34414 | − | 3.98539i | −1.00830 | − | 1.20164i | −0.979374 | − | 0.202058i | \(-0.935237\pi\) |
−0.0289216 | − | 0.999582i | \(-0.509207\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.215597 | − | 0.307904i | −0.0597958 | − | 0.0853972i | 0.788141 | − | 0.615495i | \(-0.211044\pi\) |
−0.847936 | + | 0.530098i | \(0.822155\pi\) | |||||||
\(14\) | −0.734411 | + | 4.16505i | −0.196280 | + | 1.11316i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.766044 | + | 0.642788i | −0.191511 | + | 0.160697i | ||||
\(17\) | 1.58114 | + | 5.90088i | 0.383482 | + | 1.43117i | 0.840546 | + | 0.541739i | \(0.182234\pi\) |
−0.457065 | + | 0.889433i | \(0.651099\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.93211 | + | 1.69286i | −0.672672 | + | 0.388368i | −0.797088 | − | 0.603863i | \(-0.793628\pi\) |
0.124416 | + | 0.992230i | \(0.460294\pi\) | |||||||
\(20\) | 2.21405 | − | 0.313010i | 0.495077 | − | 0.0699912i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.453432 | + | 5.18276i | 0.0966721 | + | 1.10497i | ||||
\(23\) | 1.01274 | + | 0.472247i | 0.211170 | + | 0.0984704i | 0.525326 | − | 0.850901i | \(-0.323943\pi\) |
−0.314155 | + | 0.949372i | \(0.601721\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.57105 | − | 2.02621i | −0.914209 | − | 0.405243i | ||||
\(26\) | 0.375881i | 0.0737164i | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.99057 | − | 2.99057i | 0.565165 | − | 0.565165i | ||||
\(29\) | 1.75816 | + | 9.97103i | 0.326483 | + | 1.85157i | 0.499045 | + | 0.866576i | \(0.333684\pi\) |
−0.172563 | + | 0.984999i | \(0.555205\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.35678 | + | 1.22177i | −0.602896 | + | 0.219436i | −0.625392 | − | 0.780311i | \(-0.715061\pi\) |
0.0224959 | + | 0.999747i | \(0.492839\pi\) | |||||||
\(32\) | 0.996195 | − | 0.0871557i | 0.176104 | − | 0.0154071i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.08941 | − | 5.74062i | 0.358331 | − | 0.984508i | ||||
\(35\) | −9.21289 | + | 2.13490i | −1.55726 | + | 0.360863i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.63980 | − | 1.51118i | 0.927178 | − | 0.248436i | 0.236527 | − | 0.971625i | \(-0.423991\pi\) |
0.690651 | + | 0.723188i | \(0.257324\pi\) | |||||||
\(38\) | 3.37283 | + | 0.295084i | 0.547145 | + | 0.0478690i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.99318 | − | 1.01353i | −0.315149 | − | 0.160252i | ||||
\(41\) | −4.77146 | − | 0.841337i | −0.745177 | − | 0.131395i | −0.211848 | − | 0.977303i | \(-0.567948\pi\) |
−0.533329 | + | 0.845908i | \(0.679059\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.570435 | − | 6.52010i | 0.0869905 | − | 0.994306i | −0.819779 | − | 0.572680i | \(-0.805904\pi\) |
0.906770 | − | 0.421626i | \(-0.138541\pi\) | |||||||
\(44\) | 2.60128 | − | 4.50554i | 0.392157 | − | 0.679236i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.558716 | − | 0.967725i | −0.0823782 | − | 0.142683i | ||||
\(47\) | 6.65173 | − | 3.10175i | 0.970254 | − | 0.452437i | 0.128152 | − | 0.991755i | \(-0.459096\pi\) |
0.842102 | + | 0.539318i | \(0.181318\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.99804 | + | 8.33994i | −0.999721 | + | 1.19142i | ||||
\(50\) | 2.58219 | + | 4.28162i | 0.365177 | + | 0.605513i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.215597 | − | 0.307904i | 0.0298979 | − | 0.0426986i | ||||
\(53\) | −6.39299 | − | 6.39299i | −0.878144 | − | 0.878144i | 0.115198 | − | 0.993343i | \(-0.463250\pi\) |
−0.993343 | + | 0.115198i | \(0.963250\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −10.2671 | + | 5.46988i | −1.38441 | + | 0.737558i | ||||
\(56\) | −4.16505 | + | 0.734411i | −0.556579 | + | 0.0981398i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.27895 | − | 9.17623i | 0.561853 | − | 1.20490i | ||||
\(59\) | −2.30891 | − | 1.93741i | −0.300595 | − | 0.252229i | 0.479997 | − | 0.877270i | \(-0.340638\pi\) |
−0.780592 | + | 0.625041i | \(0.785082\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.18421 | − | 2.61484i | −0.919844 | − | 0.334796i | −0.161668 | − | 0.986845i | \(-0.551687\pi\) |
−0.758176 | + | 0.652049i | \(0.773909\pi\) | |||||||
\(62\) | 3.45049 | + | 0.924557i | 0.438213 | + | 0.117419i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | −0.773412 | + | 0.329040i | −0.0959300 | + | 0.0408124i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.199873 | − | 0.139953i | 0.0244184 | − | 0.0170979i | −0.561304 | − | 0.827610i | \(-0.689700\pi\) |
0.585722 | + | 0.810512i | \(0.300811\pi\) | |||||||
\(68\) | −5.00423 | + | 3.50400i | −0.606852 | + | 0.424922i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 8.77128 | + | 3.53549i | 1.04837 | + | 0.422572i | ||||
\(71\) | −0.0530319 | − | 0.0306180i | −0.00629373 | − | 0.00363369i | 0.496850 | − | 0.867837i | \(-0.334490\pi\) |
−0.503144 | + | 0.864203i | \(0.667823\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.38669 | + | 1.71131i | 0.747506 | + | 0.200294i | 0.612412 | − | 0.790539i | \(-0.290200\pi\) |
0.135094 | + | 0.990833i | \(0.456866\pi\) | |||||||
\(74\) | −5.48663 | − | 1.99697i | −0.637808 | − | 0.232143i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.59360 | − | 2.17629i | −0.297507 | − | 0.249638i | ||||
\(77\) | −9.29895 | + | 19.9417i | −1.05971 | + | 2.27256i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.15835 | + | 0.909556i | −0.580360 | + | 0.102333i | −0.456119 | − | 0.889919i | \(-0.650761\pi\) |
−0.124241 | + | 0.992252i | \(0.539650\pi\) | |||||||
\(80\) | 1.05138 | + | 1.97347i | 0.117548 | + | 0.220641i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.42598 | + | 3.42598i | 0.378336 | + | 0.378336i | ||||
\(83\) | 2.73944 | − | 3.91233i | 0.300693 | − | 0.429434i | −0.640164 | − | 0.768238i | \(-0.721134\pi\) |
0.940857 | + | 0.338804i | \(0.110022\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 13.6409 | − | 0.726069i | 1.47956 | − | 0.0787533i | ||||
\(86\) | −4.20705 | + | 5.01377i | −0.453658 | + | 0.540648i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.71511 | + | 2.19869i | −0.502633 | + | 0.234382i | ||||
\(89\) | −4.63875 | − | 8.03454i | −0.491706 | − | 0.851660i | 0.508248 | − | 0.861211i | \(-0.330293\pi\) |
−0.999954 | + | 0.00955058i | \(0.996960\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.794859 | + | 1.37674i | −0.0833238 | + | 0.144321i | ||||
\(92\) | −0.0973907 | + | 1.11318i | −0.0101537 | + | 0.116057i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −7.22787 | − | 1.27447i | −0.745497 | − | 0.131451i | ||||
\(95\) | 2.34535 | + | 7.19823i | 0.240628 | + | 0.738523i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −15.6011 | − | 1.36492i | −1.58405 | − | 0.138587i | −0.739163 | − | 0.673527i | \(-0.764779\pi\) |
−0.844890 | + | 0.534940i | \(0.820334\pi\) | |||||||
\(98\) | 10.5161 | − | 2.81777i | 1.06228 | − | 0.284638i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.340629 | − | 4.98838i | 0.0340629 | − | 0.498838i | ||||
\(101\) | 3.00976 | − | 8.26924i | 0.299482 | − | 0.822820i | −0.695104 | − | 0.718909i | \(-0.744642\pi\) |
0.994587 | − | 0.103912i | \(-0.0331359\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.00174607 | 0.000152761i | −0.000172045 | 1.50520e-5i | −0.0872418 | − | 0.996187i | \(-0.527805\pi\) | ||
0.0870697 | + | 0.996202i | \(0.472250\pi\) | |||||||
\(104\) | −0.353213 | + | 0.128559i | −0.0346354 | + | 0.0126062i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.56996 | + | 8.90369i | 0.152488 | + | 0.864803i | ||||
\(107\) | 7.92458 | − | 7.92458i | 0.766098 | − | 0.766098i | −0.211319 | − | 0.977417i | \(-0.567776\pi\) |
0.977417 | + | 0.211319i | \(0.0677759\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.21477i | 0.212137i | 0.994359 | + | 0.106068i | \(0.0338262\pi\) | ||||
−0.994359 | + | 0.106068i | \(0.966174\pi\) | |||||||
\(110\) | 11.5477 | + | 1.40830i | 1.10103 | + | 0.134276i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.83305 | + | 1.78738i | 0.362189 | + | 0.168892i | ||||
\(113\) | 0.109693 | + | 1.25379i | 0.0103190 | + | 0.117947i | 0.999607 | − | 0.0280294i | \(-0.00892322\pi\) |
−0.989288 | + | 0.145976i | \(0.953368\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.50210 | − | 1.99674i | 0.140071 | − | 0.186197i | ||||
\(116\) | −8.76838 | + | 5.06243i | −0.814124 | + | 0.470034i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.780099 | + | 2.91137i | 0.0718139 | + | 0.268013i | ||||
\(119\) | 19.7923 | − | 16.6077i | 1.81435 | − | 1.52242i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.78993 | + | 15.8225i | −0.253630 | + | 1.43841i | ||||
\(122\) | 4.38515 | + | 6.26265i | 0.397013 | + | 0.566993i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.29618 | − | 2.73648i | −0.206203 | − | 0.245743i | ||||
\(125\) | −6.54944 | + | 9.06117i | −0.585800 | + | 0.810456i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.93774 | + | 7.23174i | −0.171947 | + | 0.641713i | 0.825105 | + | 0.564979i | \(0.191116\pi\) |
−0.997052 | + | 0.0767340i | \(0.975551\pi\) | |||||||
\(128\) | 0.422618 | + | 0.906308i | 0.0373545 | + | 0.0801070i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.822272 | + | 0.174077i | 0.0721180 | + | 0.0152676i | ||||
\(131\) | −4.22294 | − | 11.6024i | −0.368960 | − | 1.01371i | −0.975758 | − | 0.218853i | \(-0.929768\pi\) |
0.606797 | − | 0.794856i | \(-0.292454\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 11.7296 | + | 8.21316i | 1.01709 | + | 0.712171i | ||||
\(134\) | −0.244000 | −0.0210784 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.10904 | 0.523846 | ||||||||
\(137\) | −10.4036 | − | 7.28471i | −0.888843 | − | 0.622374i | 0.0374006 | − | 0.999300i | \(-0.488092\pi\) |
−0.926243 | + | 0.376926i | \(0.876981\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.49351 | + | 4.10338i | 0.126678 | + | 0.348045i | 0.986777 | − | 0.162082i | \(-0.0518209\pi\) |
−0.860099 | + | 0.510126i | \(0.829599\pi\) | |||||||
\(140\) | −5.15714 | − | 7.92711i | −0.435858 | − | 0.669963i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.0258794 | + | 0.0554986i | 0.00217175 | + | 0.00465734i | ||||
\(143\) | −0.506132 | + | 1.88891i | −0.0423249 | + | 0.157959i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 22.6267 | + | 0.771628i | 1.87905 | + | 0.0640802i | ||||
\(146\) | −4.25011 | − | 5.06508i | −0.351741 | − | 0.419189i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.34897 | + | 4.78283i | 0.275284 | + | 0.393146i | ||||
\(149\) | −0.130359 | + | 0.739301i | −0.0106794 | + | 0.0605659i | −0.989682 | − | 0.143283i | \(-0.954234\pi\) |
0.979002 | + | 0.203849i | \(0.0653452\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.91410 | − | 1.60612i | 0.155767 | − | 0.130704i | −0.561573 | − | 0.827427i | \(-0.689804\pi\) |
0.717340 | + | 0.696723i | \(0.245359\pi\) | |||||||
\(152\) | 0.876286 | + | 3.27034i | 0.0710762 | + | 0.265260i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 19.0553 | − | 11.0016i | 1.53552 | − | 0.886534i | ||||
\(155\) | 1.11814 | + | 7.90907i | 0.0898111 | + | 0.635272i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.594827 | − | 6.79890i | −0.0474723 | − | 0.542611i | −0.982275 | − | 0.187444i | \(-0.939980\pi\) |
0.934803 | − | 0.355167i | \(-0.115576\pi\) | |||||||
\(158\) | 4.74717 | + | 2.21364i | 0.377665 | + | 0.176108i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.270694 | − | 2.21962i | 0.0214003 | − | 0.175477i | ||||
\(161\) | − | 4.72596i | − | 0.372458i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.670477 | + | 0.670477i | −0.0525158 | + | 0.0525158i | −0.732877 | − | 0.680361i | \(-0.761823\pi\) |
0.680361 | + | 0.732877i | \(0.261823\pi\) | |||||||
\(164\) | −0.841337 | − | 4.77146i | −0.0656974 | − | 0.372588i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.48804 | + | 1.63351i | −0.348340 | + | 0.126785i | ||||
\(167\) | 4.99662 | − | 0.437147i | 0.386650 | − | 0.0338275i | 0.107826 | − | 0.994170i | \(-0.465611\pi\) |
0.278824 | + | 0.960342i | \(0.410055\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.39794 | − | 12.0832i | 0.338303 | − | 0.929480i | ||||
\(170\) | −11.5904 | − | 7.22934i | −0.888946 | − | 0.554465i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.32199 | − | 1.69397i | 0.482047 | − | 0.129164i | ||||
\(173\) | −5.65464 | − | 0.494717i | −0.429915 | − | 0.0376127i | −0.129855 | − | 0.991533i | \(-0.541451\pi\) |
−0.300060 | + | 0.953920i | \(0.597007\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.403616 | + | 21.1427i | 0.0305105 | + | 1.59824i | ||||
\(176\) | 5.12351 | + | 0.903414i | 0.386199 | + | 0.0680974i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.808587 | + | 9.24219i | −0.0606061 | + | 0.692731i | ||||
\(179\) | 7.12420 | − | 12.3395i | 0.532488 | − | 0.922296i | −0.466793 | − | 0.884367i | \(-0.654591\pi\) |
0.999280 | − | 0.0379289i | \(-0.0120760\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.55430 | − | 11.3524i | −0.487177 | − | 0.843816i | 0.512714 | − | 0.858559i | \(-0.328640\pi\) |
−0.999891 | + | 0.0147438i | \(0.995307\pi\) | |||||||
\(182\) | 1.44077 | − | 0.671843i | 0.106797 | − | 0.0498004i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.718272 | − | 0.856003i | 0.0529517 | − | 0.0631054i | ||||
\(185\) | −0.693945 | − | 13.0374i | −0.0510199 | − | 0.958528i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 18.2297 | − | 26.0348i | 1.33309 | − | 1.90385i | ||||
\(188\) | 5.18972 | + | 5.18972i | 0.378499 | + | 0.378499i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.20753 | − | 7.24168i | 0.160151 | − | 0.525367i | ||||
\(191\) | −1.41468 | + | 0.249446i | −0.102363 | + | 0.0180493i | −0.224595 | − | 0.974452i | \(-0.572106\pi\) |
0.122232 | + | 0.992502i | \(0.460995\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.30860 | − | 17.8178i | 0.598066 | − | 1.28256i | −0.341401 | − | 0.939918i | \(-0.610902\pi\) |
0.939467 | − | 0.342639i | \(-0.111321\pi\) | |||||||
\(194\) | 11.9968 | + | 10.0665i | 0.861320 | + | 0.722733i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −10.2305 | − | 3.72358i | −0.730747 | − | 0.265970i | ||||
\(197\) | −19.0913 | − | 5.11551i | −1.36020 | − | 0.364465i | −0.496311 | − | 0.868145i | \(-0.665312\pi\) |
−0.863890 | + | 0.503680i | \(0.831979\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.74271 | − | 3.89290i | −0.477978 | − | 0.275961i | 0.241596 | − | 0.970377i | \(-0.422329\pi\) |
−0.719573 | + | 0.694416i | \(0.755663\pi\) | |||||||
\(200\) | −3.14025 | + | 3.89087i | −0.222049 | + | 0.275126i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −7.20849 | + | 5.04744i | −0.507188 | + | 0.355137i | ||||
\(203\) | 35.0770 | − | 24.5612i | 2.46192 | − | 1.72386i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.05024 | + | 10.0483i | −0.282881 | + | 0.701806i | ||||
\(206\) | 0.00151792 | 0.000876370i | 0.000105758 | 6.10596e-5i | ||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.363074 | + | 0.0972853i | 0.0251746 | + | 0.00674552i | ||||
\(209\) | 16.5521 | + | 6.02446i | 1.14493 | + | 0.416721i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.399400 | + | 0.335137i | 0.0274959 | + | 0.0230718i | 0.656432 | − | 0.754385i | \(-0.272065\pi\) |
−0.628936 | + | 0.777457i | \(0.716509\pi\) | |||||||
\(212\) | 3.82091 | − | 8.19397i | 0.262421 | − | 0.562764i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −11.0368 | + | 1.94608i | −0.754459 | + | 0.133032i | ||||
\(215\) | −13.9991 | − | 4.26745i | −0.954730 | − | 0.291037i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 10.6830 | + | 10.6830i | 0.725207 | + | 0.725207i | ||||
\(218\) | 1.27034 | − | 1.81424i | 0.0860384 | − | 0.122876i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −8.65156 | − | 7.77710i | −0.583288 | − | 0.524332i | ||||
\(221\) | 1.47602 | − | 1.75905i | 0.0992876 | − | 0.118326i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.85795 | − | 3.66422i | 0.526208 | − | 0.245375i | −0.141314 | − | 0.989965i | \(-0.545133\pi\) |
0.667522 | + | 0.744590i | \(0.267355\pi\) | |||||||
\(224\) | −2.11465 | − | 3.66269i | −0.141291 | − | 0.244723i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.629291 | − | 1.08996i | 0.0418598 | − | 0.0725033i | ||||
\(227\) | −0.540947 | + | 6.18305i | −0.0359039 | + | 0.410383i | 0.956882 | + | 0.290479i | \(0.0938145\pi\) |
−0.992785 | + | 0.119905i | \(0.961741\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 23.6091 | + | 4.16292i | 1.56013 | + | 0.275093i | 0.886060 | − | 0.463571i | \(-0.153432\pi\) |
0.674073 | + | 0.738665i | \(0.264543\pi\) | |||||||
\(230\) | −2.37573 | + | 0.774069i | −0.156651 | + | 0.0510406i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 10.0863 | + | 0.882439i | 0.662200 | + | 0.0579350i | ||||
\(233\) | 11.2846 | − | 3.02370i | 0.739278 | − | 0.198089i | 0.130521 | − | 0.991446i | \(-0.458335\pi\) |
0.608757 | + | 0.793357i | \(0.291668\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.70481 | − | 15.9877i | −0.241675 | − | 1.04292i | ||||
\(236\) | 1.03087 | − | 2.83230i | 0.0671041 | − | 0.184367i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −25.7387 | + | 2.25184i | −1.66839 | + | 0.145965i | ||||
\(239\) | −17.3288 | + | 6.30716i | −1.12091 | + | 0.407976i | −0.834983 | − | 0.550276i | \(-0.814522\pi\) |
−0.285923 | + | 0.958253i | \(0.592300\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.864030 | + | 4.90016i | 0.0556571 | + | 0.315647i | 0.999908 | − | 0.0135803i | \(-0.00432289\pi\) |
−0.944251 | + | 0.329227i | \(0.893212\pi\) | |||||||
\(242\) | 11.3608 | − | 11.3608i | 0.730298 | − | 0.730298i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 7.64528i | − | 0.489439i | ||||||
\(245\) | 15.0034 | + | 19.1712i | 0.958533 | + | 1.22480i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.15339 | + | 0.537835i | 0.0733885 | + | 0.0342216i | ||||
\(248\) | 0.311339 | + | 3.55862i | 0.0197700 | + | 0.225973i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 10.5623 | − | 3.66587i | 0.668016 | − | 0.231850i | ||||
\(251\) | −11.3319 | + | 6.54248i | −0.715264 | + | 0.412958i | −0.813007 | − | 0.582254i | \(-0.802171\pi\) |
0.0977433 | + | 0.995212i | \(0.468838\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.50465 | − | 5.61541i | −0.0945962 | − | 0.353038i | ||||
\(254\) | 5.73526 | − | 4.81246i | 0.359862 | − | 0.301960i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −1.16005 | − | 1.65673i | −0.0723622 | − | 0.103344i | 0.781340 | − | 0.624106i | \(-0.214537\pi\) |
−0.853702 | + | 0.520762i | \(0.825648\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −15.8729 | − | 18.9166i | −0.986295 | − | 1.17542i | ||||
\(260\) | −0.573719 | − | 0.614231i | −0.0355806 | − | 0.0380930i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.19565 | + | 11.9263i | −0.197428 | + | 0.736812i | ||||
\(263\) | 4.72696 | + | 10.1370i | 0.291477 | + | 0.625074i | 0.996452 | − | 0.0841574i | \(-0.0268198\pi\) |
−0.704976 | + | 0.709232i | \(0.749042\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −16.9459 | + | 11.0245i | −1.04098 | + | 0.677229i | ||||
\(266\) | −4.89746 | − | 13.4556i | −0.300282 | − | 0.825019i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.199873 | + | 0.139953i | 0.0122092 | + | 0.00854896i | ||||
\(269\) | 9.40361 | 0.573348 | 0.286674 | − | 0.958028i | \(-0.407450\pi\) | ||||
0.286674 | + | 0.958028i | \(0.407450\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.37745 | −0.0836741 | −0.0418370 | − | 0.999124i | \(-0.513321\pi\) | ||||
−0.0418370 | + | 0.999124i | \(0.513321\pi\) | |||||||
\(272\) | −5.00423 | − | 3.50400i | −0.303426 | − | 0.212461i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.34383 | + | 11.9346i | 0.262420 | + | 0.720993i | ||||
\(275\) | 7.21095 | + | 24.9933i | 0.434837 | + | 1.50715i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.2207 | + | 26.2073i | 0.734269 | + | 1.57465i | 0.816041 | + | 0.577994i | \(0.196164\pi\) |
−0.0817715 | + | 0.996651i | \(0.526058\pi\) | |||||||
\(278\) | 1.13019 | − | 4.21794i | 0.0677845 | − | 0.252975i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.322321 | + | 9.45152i | −0.0192624 | + | 0.564836i | ||||
\(281\) | 20.9375 | + | 24.9523i | 1.24903 | + | 1.48853i | 0.805875 | + | 0.592085i | \(0.201695\pi\) |
0.443151 | + | 0.896447i | \(0.353860\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −15.0389 | − | 21.4778i | −0.893970 | − | 1.27672i | −0.960313 | − | 0.278924i | \(-0.910022\pi\) |
0.0663434 | − | 0.997797i | \(-0.478867\pi\) | |||||||
\(284\) | 0.0106335 | − | 0.0603057i | 0.000630983 | − | 0.00357848i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.49803 | − | 1.25700i | 0.0885805 | − | 0.0743279i | ||||
\(287\) | 5.30353 | + | 19.7930i | 0.313057 | + | 1.16835i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −17.5979 | + | 10.1602i | −1.03517 | + | 0.597657i | ||||
\(290\) | −18.0921 | − | 13.6102i | −1.06241 | − | 0.799220i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.576273 | + | 6.58683i | 0.0337238 | + | 0.385465i | ||||
\(293\) | 21.1017 | + | 9.83988i | 1.23277 | + | 0.574852i | 0.926214 | − | 0.376999i | \(-0.123044\pi\) |
0.306561 | + | 0.951851i | \(0.400822\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.30754 | + | 4.15369i | −0.309017 | + | 0.241837i | ||||
\(296\) | − | 5.83875i | − | 0.339371i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.530829 | − | 0.530829i | 0.0307501 | − | 0.0307501i | ||||
\(299\) | −0.0729361 | − | 0.413641i | −0.00421800 | − | 0.0239215i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −26.0115 | + | 9.46740i | −1.49928 | + | 0.545692i | ||||
\(302\) | −2.48917 | + | 0.217774i | −0.143235 | + | 0.0125315i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.15798 | − | 3.18153i | 0.0664148 | − | 0.182473i | ||||
\(305\) | −9.04731 | + | 14.5051i | −0.518047 | + | 0.830559i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −14.1397 | + | 3.78873i | −0.806997 | + | 0.216234i | −0.638654 | − | 0.769494i | \(-0.720508\pi\) |
−0.168343 | + | 0.985728i | \(0.553842\pi\) | |||||||
\(308\) | −21.9195 | − | 1.91770i | −1.24898 | − | 0.109271i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.62053 | − | 7.12007i | 0.205632 | − | 0.404393i | ||||
\(311\) | −13.9613 | − | 2.46175i | −0.791672 | − | 0.139593i | −0.236833 | − | 0.971550i | \(-0.576109\pi\) |
−0.554840 | + | 0.831957i | \(0.687220\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.580982 | − | 6.64066i | 0.0328391 | − | 0.375352i | −0.961937 | − | 0.273271i | \(-0.911894\pi\) |
0.994776 | − | 0.102081i | \(-0.0325501\pi\) | |||||||
\(314\) | −3.41244 | + | 5.91051i | −0.192575 | + | 0.333550i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.61896 | − | 4.53618i | −0.147328 | − | 0.255180i | ||||
\(317\) | −5.98543 | + | 2.79105i | −0.336175 | + | 0.156761i | −0.583374 | − | 0.812204i | \(-0.698268\pi\) |
0.247199 | + | 0.968965i | \(0.420490\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 33.8589 | − | 40.3515i | 1.89573 | − | 2.25925i | ||||
\(320\) | −1.49486 | + | 1.66294i | −0.0835654 | + | 0.0929614i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.71070 | + | 3.87128i | −0.151061 | + | 0.215738i | ||||
\(323\) | −14.6254 | − | 14.6254i | −0.813779 | − | 0.813779i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.361623 | + | 1.84429i | 0.0200592 | + | 0.102303i | ||||
\(326\) | 0.933793 | − | 0.164653i | 0.0517180 | − | 0.00911928i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.04761 | + | 4.39112i | −0.113061 | + | 0.242459i | ||||
\(329\) | −23.7783 | − | 19.9524i | −1.31094 | − | 1.10001i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.71424 | + | 3.17172i | 0.478978 | + | 0.174334i | 0.570215 | − | 0.821495i | \(-0.306860\pi\) |
−0.0912370 | + | 0.995829i | \(0.529082\pi\) | |||||||
\(332\) | 4.61333 | + | 1.23614i | 0.253190 | + | 0.0678419i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −4.34373 | − | 2.50785i | −0.237678 | − | 0.137224i | ||||
\(335\) | −0.213593 | − | 0.502053i | −0.0116698 | − | 0.0274301i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 28.8075 | − | 20.1713i | 1.56925 | − | 1.09880i | 0.619849 | − | 0.784721i | \(-0.287194\pi\) |
0.949397 | − | 0.314078i | \(-0.101695\pi\) | |||||||
\(338\) | −10.5332 | + | 7.37545i | −0.572933 | + | 0.401172i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 5.34775 | + | 12.5699i | 0.290022 | + | 0.681700i | ||||
\(341\) | 16.0948 | + | 9.29232i | 0.871581 | + | 0.503207i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.8792 | + | 4.25483i | 0.857399 | + | 0.229739i | ||||
\(344\) | −6.15030 | − | 2.23852i | −0.331602 | − | 0.120693i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.34826 | + | 3.64862i | 0.233764 | + | 0.196151i | ||||
\(347\) | 7.84524 | − | 16.8242i | 0.421155 | − | 0.903169i | −0.575212 | − | 0.818004i | \(-0.695081\pi\) |
0.996367 | − | 0.0851649i | \(-0.0271417\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −9.68283 | + | 1.70734i | −0.518310 | + | 0.0913920i | −0.426683 | − | 0.904401i | \(-0.640318\pi\) |
−0.0916271 | + | 0.995793i | \(0.529207\pi\) | |||||||
\(350\) | 11.7963 | − | 17.5506i | 0.630540 | − | 0.938117i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3.67876 | − | 3.67876i | −0.196079 | − | 0.196079i | ||||
\(353\) | −1.87815 | + | 2.68228i | −0.0999639 | + | 0.142763i | −0.866018 | − | 0.500013i | \(-0.833329\pi\) |
0.766054 | + | 0.642776i | \(0.222217\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.0915394 | + | 0.101832i | −0.00485841 | + | 0.00540468i | ||||
\(356\) | 5.96346 | − | 7.10697i | 0.316063 | − | 0.376669i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −12.9134 | + | 6.02163i | −0.682496 | + | 0.318253i | ||||
\(359\) | 8.24511 | + | 14.2809i | 0.435160 | + | 0.753719i | 0.997309 | − | 0.0733169i | \(-0.0233584\pi\) |
−0.562149 | + | 0.827036i | \(0.690025\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.76848 | + | 6.52720i | −0.198341 | + | 0.343537i | ||||
\(362\) | −1.14249 | + | 13.0587i | −0.0600479 | + | 0.686351i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.56557 | − | 0.276051i | −0.0820579 | − | 0.0144690i | ||||
\(365\) | 6.70142 | − | 13.1789i | 0.350768 | − | 0.689815i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −32.6051 | − | 2.85258i | −1.70197 | − | 0.148903i | −0.805675 | − | 0.592358i | \(-0.798197\pi\) |
−0.896297 | + | 0.443455i | \(0.853753\pi\) | |||||||
\(368\) | −1.07936 | + | 0.289213i | −0.0562654 | + | 0.0150763i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −6.90949 | + | 11.0776i | −0.359207 | + | 0.575899i | ||||
\(371\) | −13.0779 | + | 35.9314i | −0.678973 | + | 1.86546i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.17963 | + | 0.540647i | −0.319969 | + | 0.0279937i | −0.246009 | − | 0.969268i | \(-0.579119\pi\) |
−0.0739600 | + | 0.997261i | \(0.523564\pi\) | |||||||
\(374\) | −29.8659 | + | 10.8703i | −1.54433 | + | 0.562089i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.27447 | − | 7.22787i | −0.0657257 | − | 0.372749i | ||||
\(377\) | 2.69107 | − | 2.69107i | 0.138597 | − | 0.138597i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.82213i | 0.350429i | 0.984530 | + | 0.175215i | \(0.0560620\pi\) | ||||
−0.984530 | + | 0.175215i | \(0.943938\pi\) | |||||||
\(380\) | −5.96196 | + | 4.66585i | −0.305842 | + | 0.239353i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.30191 | + | 0.607093i | 0.0666117 | + | 0.0310616i | ||||
\(383\) | −0.301009 | − | 3.44055i | −0.0153808 | − | 0.175804i | −0.999999 | − | 0.00108604i | \(-0.999654\pi\) |
0.984619 | − | 0.174718i | \(-0.0559013\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 39.3175 | + | 29.5776i | 2.00381 | + | 1.50741i | ||||
\(386\) | −17.0259 | + | 9.82991i | −0.866596 | + | 0.500329i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.05329 | − | 15.1271i | −0.205775 | − | 0.767961i | ||||
\(389\) | −9.14718 | + | 7.67539i | −0.463780 | + | 0.389158i | −0.844520 | − | 0.535525i | \(-0.820114\pi\) |
0.380739 | + | 0.924682i | \(0.375669\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.18540 | + | 6.72273i | −0.0599482 | + | 0.339983i | ||||
\(392\) | 6.24454 | + | 8.91813i | 0.315397 | + | 0.450433i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 12.7046 | + | 15.1407i | 0.640047 | + | 0.762778i | ||||
\(395\) | −0.399189 | + | 11.7056i | −0.0200854 | + | 0.588970i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.674193 | − | 2.51612i | 0.0338368 | − | 0.126280i | −0.946942 | − | 0.321406i | \(-0.895845\pi\) |
0.980778 | + | 0.195125i | \(0.0625113\pi\) | |||||||
\(398\) | 3.29042 | + | 7.05634i | 0.164934 | + | 0.353702i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.80405 | − | 1.38604i | 0.240202 | − | 0.0693020i | ||||
\(401\) | −2.31034 | − | 6.34761i | −0.115373 | − | 0.316984i | 0.868544 | − | 0.495612i | \(-0.165056\pi\) |
−0.983917 | + | 0.178628i | \(0.942834\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.09990 | + | 0.770158i | 0.0547899 | + | 0.0383643i | ||||
\(404\) | 8.79994 | 0.437814 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −42.8211 | −2.12518 | ||||||||
\(407\) | −24.8829 | − | 17.4232i | −1.23340 | − | 0.863636i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.32960 | + | 3.65304i | 0.0657444 | + | 0.180631i | 0.968215 | − | 0.250121i | \(-0.0804704\pi\) |
−0.902470 | + | 0.430752i | \(0.858248\pi\) | |||||||
\(410\) | 9.08125 | − | 5.90799i | 0.448491 | − | 0.291775i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.000740740 | − | 0.00158852i | −3.64936e−5 | − | 7.82609e-5i | ||||
\(413\) | −3.29928 | + | 12.3131i | −0.162347 | + | 0.605886i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.28987 | − | 7.80463i | −0.357846 | − | 0.383114i | ||||
\(416\) | −0.241612 | − | 0.287942i | −0.0118460 | − | 0.0141175i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −10.1032 | − | 14.4288i | −0.494162 | − | 0.705737i | ||||
\(419\) | −2.47543 | + | 14.0389i | −0.120933 | + | 0.685844i | 0.862708 | + | 0.505703i | \(0.168767\pi\) |
−0.983641 | + | 0.180141i | \(0.942344\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 21.8367 | − | 18.3232i | 1.06426 | − | 0.893018i | 0.0697379 | − | 0.997565i | \(-0.477784\pi\) |
0.994520 | + | 0.104547i | \(0.0333392\pi\) | |||||||
\(422\) | −0.134943 | − | 0.503615i | −0.00656893 | − | 0.0245156i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −7.82978 | + | 4.52052i | −0.380248 | + | 0.219536i | ||||
\(425\) | 4.72900 | − | 30.1769i | 0.229390 | − | 1.46379i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.81811 | + | 32.2112i | 0.136378 | + | 1.55881i | ||||
\(428\) | 10.1570 | + | 4.73630i | 0.490959 | + | 0.228938i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 9.01968 | + | 11.5252i | 0.434968 | + | 0.555796i | ||||
\(431\) | − | 38.9178i | − | 1.87461i | −0.348515 | − | 0.937303i | \(-0.613314\pi\) | ||
0.348515 | − | 0.937303i | \(-0.386686\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.50667 | − | 8.50667i | 0.408804 | − | 0.408804i | −0.472517 | − | 0.881321i | \(-0.656655\pi\) |
0.881321 | + | 0.472517i | \(0.156655\pi\) | |||||||
\(434\) | −2.62347 | − | 14.8785i | −0.125931 | − | 0.714189i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.08121 | + | 0.757497i | −0.0996717 | + | 0.0362775i | ||||
\(437\) | −3.76891 | + | 0.329737i | −0.180291 | + | 0.0157734i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.9045 | + | 35.4547i | −0.615896 | + | 1.69216i | 0.100917 | + | 0.994895i | \(0.467822\pi\) |
−0.716813 | + | 0.697266i | \(0.754400\pi\) | |||||||
\(440\) | 2.62618 | + | 11.3330i | 0.125198 | + | 0.540278i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.21803 | + | 0.594319i | −0.105501 | + | 0.0282689i | ||||
\(443\) | −37.0206 | − | 3.23888i | −1.75890 | − | 0.153884i | −0.838512 | − | 0.544883i | \(-0.816574\pi\) |
−0.920391 | + | 0.390999i | \(0.872129\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −19.7245 | + | 6.42671i | −0.935032 | + | 0.304655i | ||||
\(446\) | −8.53857 | − | 1.50558i | −0.404313 | − | 0.0712913i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.368608 | + | 4.21321i | −0.0174151 | + | 0.199056i | ||||
\(449\) | −19.5467 | + | 33.8559i | −0.922466 | + | 1.59776i | −0.126878 | + | 0.991918i | \(0.540496\pi\) |
−0.795587 | + | 0.605839i | \(0.792838\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.6034 | + | 21.8297i | 0.593469 | + | 1.02792i | ||||
\(452\) | −1.14066 | + | 0.531900i | −0.0536523 | + | 0.0250185i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.98957 | − | 4.75458i | 0.187240 | − | 0.223144i | ||||
\(455\) | 2.64361 | + | 2.37641i | 0.123934 | + | 0.111408i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.09288 | − | 7.27339i | 0.238235 | − | 0.340235i | −0.682175 | − | 0.731189i | \(-0.738966\pi\) |
0.920410 | + | 0.390954i | \(0.127855\pi\) | |||||||
\(458\) | −16.9517 | − | 16.9517i | −0.792100 | − | 0.792100i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.39007 | + | 0.728583i | 0.111438 | + | 0.0339704i | ||||
\(461\) | 33.1532 | − | 5.84580i | 1.54410 | − | 0.272266i | 0.664245 | − | 0.747515i | \(-0.268753\pi\) |
0.879851 | + | 0.475249i | \(0.157642\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.18344 | − | 8.97141i | 0.194421 | − | 0.416937i | −0.784796 | − | 0.619755i | \(-0.787232\pi\) |
0.979216 | + | 0.202818i | \(0.0650099\pi\) | |||||||
\(464\) | −7.75609 | − | 6.50813i | −0.360067 | − | 0.302132i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −10.9781 | − | 3.99571i | −0.508551 | − | 0.185098i | ||||
\(467\) | 7.67657 | + | 2.05693i | 0.355229 | + | 0.0951834i | 0.432021 | − | 0.901864i | \(-0.357801\pi\) |
−0.0767911 | + | 0.997047i | \(0.524467\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.893695 | − | 0.515975i | −0.0412670 | − | 0.0238255i | ||||
\(470\) | −6.13535 | + | 15.2213i | −0.283003 | + | 0.702108i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.46898 | + | 1.72880i | −0.113644 | + | 0.0795745i | ||||
\(473\) | −27.8927 | + | 19.5307i | −1.28251 | + | 0.898023i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 16.8329 | − | 1.79703i | 0.772346 | − | 0.0824535i | ||||
\(476\) | 22.3755 | + | 12.9185i | 1.02558 | + | 0.592118i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 17.8125 | + | 4.77286i | 0.814727 | + | 0.218305i | ||||
\(479\) | −14.8140 | − | 5.39184i | −0.676867 | − | 0.246359i | −0.0193652 | − | 0.999812i | \(-0.506165\pi\) |
−0.657502 | + | 0.753453i | \(0.728387\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.68122 | − | 1.41071i | −0.0766571 | − | 0.0643229i | ||||
\(482\) | 2.10284 | − | 4.50956i | 0.0957819 | − | 0.205405i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −15.8225 | + | 2.78993i | −0.719203 | + | 0.126815i | ||||
\(485\) | −10.2110 | + | 33.4966i | −0.463659 | + | 1.52100i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.08544 | − | 6.08544i | −0.275758 | − | 0.275758i | 0.555655 | − | 0.831413i | \(-0.312467\pi\) |
−0.831413 | + | 0.555655i | \(0.812467\pi\) | |||||||
\(488\) | −4.38515 | + | 6.26265i | −0.198506 | + | 0.283497i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.29394 | − | 24.3097i | −0.0584543 | − | 1.09820i | ||||
\(491\) | 19.9695 | − | 23.7987i | 0.901209 | − | 1.07402i | −0.0956967 | − | 0.995411i | \(-0.530508\pi\) |
0.996906 | − | 0.0786084i | \(-0.0250477\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −56.0579 | + | 26.1402i | −2.52472 | + | 1.17730i | ||||
\(494\) | −0.636313 | − | 1.10213i | −0.0286291 | − | 0.0495870i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.78611 | − | 3.09363i | 0.0801986 | − | 0.138908i | ||||
\(497\) | −0.0225721 | + | 0.258000i | −0.00101250 | + | 0.0115729i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −12.8962 | − | 2.27395i | −0.577313 | − | 0.101796i | −0.122635 | − | 0.992452i | \(-0.539134\pi\) |
−0.454678 | + | 0.890656i | \(0.650246\pi\) | |||||||
\(500\) | −10.7548 | − | 3.05536i | −0.480967 | − | 0.136640i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 13.0352 | + | 1.14043i | 0.581788 | + | 0.0508999i | ||||
\(503\) | 6.77201 | − | 1.81455i | 0.301949 | − | 0.0809070i | −0.104664 | − | 0.994508i | \(-0.533377\pi\) |
0.406613 | + | 0.913601i | \(0.366710\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −16.6958 | − | 10.4137i | −0.742953 | − | 0.463405i | ||||
\(506\) | −1.98833 | + | 5.46291i | −0.0883923 | + | 0.242856i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −7.45836 | + | 0.652522i | −0.330911 | + | 0.0289510i | ||||
\(509\) | 15.4656 | − | 5.62900i | 0.685499 | − | 0.249501i | 0.0242921 | − | 0.999705i | \(-0.492267\pi\) |
0.661207 | + | 0.750204i | \(0.270045\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.85592 | − | 27.5393i | −0.214813 | − | 1.21827i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.02249i | 0.0892083i | ||||||||
\(515\) | −0.000474457 | 0.00389042i | −2.09071e−5 | 0.000171432i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −34.6060 | − | 16.1370i | −1.52197 | − | 0.709706i | ||||
\(518\) | 2.15221 | + | 24.5999i | 0.0945628 | + | 1.08086i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.117655 | + | 0.832221i | 0.00515950 | + | 0.0364953i | ||||
\(521\) | −0.953086 | + | 0.550265i | −0.0417555 | + | 0.0241075i | −0.520732 | − | 0.853720i | \(-0.674341\pi\) |
0.478977 | + | 0.877827i | \(0.341008\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.834549 | − | 3.11458i | −0.0364923 | − | 0.136191i | 0.945276 | − | 0.326271i | \(-0.105792\pi\) |
−0.981769 | + | 0.190080i | \(0.939125\pi\) | |||||||
\(524\) | 9.45840 | − | 7.93654i | 0.413192 | − | 0.346709i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.94224 | − | 11.0150i | 0.0846859 | − | 0.480278i | ||||
\(527\) | −12.5170 | − | 17.8762i | −0.545251 | − | 0.778699i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.9815 | − | 16.6625i | −0.607891 | − | 0.724456i | ||||
\(530\) | 20.2047 | + | 0.689030i | 0.877634 | + | 0.0299295i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.70608 | + | 13.8313i | −0.160679 | + | 0.599662i | ||||
\(533\) | 0.769660 | + | 1.65054i | 0.0333377 | + | 0.0714929i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −13.6657 | − | 21.0057i | −0.590819 | − | 0.908155i | ||||
\(536\) | −0.0834528 | − | 0.229285i | −0.00360461 | − | 0.00990359i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −7.70299 | − | 5.39369i | −0.332099 | − | 0.232538i | ||||
\(539\) | 56.6403 | 2.43967 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 45.1758 | 1.94226 | 0.971129 | − | 0.238553i | \(-0.0766732\pi\) | ||||
0.971129 | + | 0.238553i | \(0.0766732\pi\) | |||||||
\(542\) | 1.12834 | + | 0.790072i | 0.0484664 | + | 0.0339365i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.08941 | + | 5.74062i | 0.0895829 | + | 0.246127i | ||||
\(545\) | 4.84500 | + | 1.02570i | 0.207537 | + | 0.0439361i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.1023 | − | 38.8206i | −0.774000 | − | 1.65985i | −0.751169 | − | 0.660110i | \(-0.770510\pi\) |
−0.0228315 | − | 0.999739i | \(-0.507268\pi\) | |||||||
\(548\) | 3.28713 | − | 12.2677i | 0.140419 | − | 0.524052i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 8.42872 | − | 24.6094i | 0.359402 | − | 1.04935i | ||||
\(551\) | −22.0346 | − | 26.2599i | −0.938707 | − | 1.11871i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.7063 | + | 18.1465i | 0.540327 | + | 0.771668i | ||||
\(554\) | 5.02131 | − | 28.4773i | 0.213335 | − | 1.20988i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.34511 | + | 2.80688i | −0.141864 | + | 0.119038i | ||||
\(557\) | 5.41667 | + | 20.2153i | 0.229512 | + | 0.856549i | 0.980547 | + | 0.196286i | \(0.0628882\pi\) |
−0.751035 | + | 0.660262i | \(0.770445\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.13055 | + | 1.23007i | −0.0901127 | + | 0.0520266i | ||||
\(560\) | 5.68520 | − | 7.55736i | 0.240243 | − | 0.319357i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −2.83892 | − | 32.4490i | −0.119753 | − | 1.36878i | ||||
\(563\) | 33.8407 | + | 15.7802i | 1.42621 | + | 0.665055i | 0.973936 | − | 0.226822i | \(-0.0728335\pi\) |
0.452279 | + | 0.891877i | \(0.350611\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.79358 | + | 0.340691i | 0.117527 | + | 0.0143330i | ||||
\(566\) | 26.2195i | 1.10209i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.0433004 | + | 0.0433004i | −0.00181684 | + | 0.00181684i | ||||
\(569\) | −4.38237 | − | 24.8537i | −0.183719 | − | 1.04192i | −0.927591 | − | 0.373598i | \(-0.878124\pi\) |
0.743872 | − | 0.668322i | \(-0.232987\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 32.0935 | − | 11.6811i | 1.34307 | − | 0.488837i | 0.432292 | − | 0.901734i | \(-0.357705\pi\) |
0.910778 | + | 0.412897i | \(0.135483\pi\) | |||||||
\(572\) | −1.94810 | + | 0.170437i | −0.0814542 | + | 0.00712632i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.00843 | − | 19.2555i | 0.292526 | − | 0.803709i | ||||
\(575\) | −3.67240 | − | 4.21069i | −0.153149 | − | 0.175598i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −22.6289 | + | 6.06339i | −0.942052 | + | 0.252422i | −0.696986 | − | 0.717084i | \(-0.745476\pi\) |
−0.245066 | + | 0.969506i | \(0.578810\pi\) | |||||||
\(578\) | 20.2430 | + | 1.77103i | 0.841998 | + | 0.0736653i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 7.01370 | + | 21.5261i | 0.291228 | + | 0.893821i | ||||
\(581\) | −19.8926 | − | 3.50760i | −0.825284 | − | 0.145520i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.09950 | + | 46.8575i | −0.169784 | + | 1.94064i | ||||
\(584\) | 3.30600 | − | 5.72615i | 0.136803 | − | 0.236950i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −11.6416 | − | 20.1638i | −0.480909 | − | 0.832959i | ||||
\(587\) | −19.1692 | + | 8.93875i | −0.791198 | + | 0.368942i | −0.775831 | − | 0.630940i | \(-0.782669\pi\) |
−0.0153665 | + | 0.999882i | \(0.504891\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.77418 | − | 9.26491i | 0.320330 | − | 0.381754i | ||||
\(590\) | 6.73014 | − | 0.358227i | 0.277075 | − | 0.0147480i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.34897 | + | 4.78283i | −0.137642 | + | 0.196573i | ||||
\(593\) | 1.68491 | + | 1.68491i | 0.0691910 | + | 0.0691910i | 0.740855 | − | 0.671664i | \(-0.234420\pi\) |
−0.671664 | + | 0.740855i | \(0.734420\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −27.1646 | − | 50.9886i | −1.11364 | − | 2.09033i | ||||
\(596\) | −0.739301 | + | 0.130359i | −0.0302829 | + | 0.00533970i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.177509 | + | 0.380669i | −0.00725888 | + | 0.0155667i | ||||
\(599\) | −11.6914 | − | 9.81029i | −0.477700 | − | 0.400838i | 0.371894 | − | 0.928275i | \(-0.378708\pi\) |
−0.849594 | + | 0.527438i | \(0.823153\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 43.3179 | + | 15.7664i | 1.76697 | + | 0.643126i | 0.999999 | + | 0.00144762i | \(0.000460792\pi\) |
0.766974 | + | 0.641678i | \(0.221761\pi\) | |||||||
\(602\) | 26.7376 | + | 7.16433i | 1.08974 | + | 0.291996i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 2.16392 | + | 1.24934i | 0.0880485 | + | 0.0508348i | ||||
\(605\) | 33.3209 | + | 13.4309i | 1.35469 | + | 0.546042i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 23.6505 | − | 16.5602i | 0.959942 | − | 0.672159i | 0.0151695 | − | 0.999885i | \(-0.495171\pi\) |
0.944773 | + | 0.327726i | \(0.106282\pi\) | |||||||
\(608\) | −2.77341 | + | 1.94196i | −0.112477 | + | 0.0787570i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 15.7309 | − | 6.69255i | 0.636926 | − | 0.270973i | ||||
\(611\) | −2.38913 | − | 1.37937i | −0.0966539 | − | 0.0558032i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −26.4834 | − | 7.09621i | −1.06966 | − | 0.286613i | −0.319304 | − | 0.947652i | \(-0.603449\pi\) |
−0.750351 | + | 0.661039i | \(0.770116\pi\) | |||||||
\(614\) | 13.7557 | + | 5.00667i | 0.555135 | + | 0.202053i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 16.8554 | + | 14.1434i | 0.679124 | + | 0.569853i | ||||
\(617\) | 0.481909 | − | 1.03346i | 0.0194009 | − | 0.0416054i | −0.896369 | − | 0.443310i | \(-0.853804\pi\) |
0.915769 | + | 0.401704i | \(0.131582\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 36.3650 | − | 6.41213i | 1.46163 | − | 0.257725i | 0.614420 | − | 0.788979i | \(-0.289390\pi\) |
0.847213 | + | 0.531254i | \(0.178279\pi\) | |||||||
\(620\) | −7.04967 | + | 3.75577i | −0.283121 | + | 0.150835i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10.0244 | + | 10.0244i | 0.401943 | + | 0.401943i | ||||
\(623\) | −22.5056 | + | 32.1414i | −0.901669 | + | 1.28772i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 16.7889 | + | 18.5238i | 0.671556 | + | 0.740953i | ||||
\(626\) | −4.28484 | + | 5.10647i | −0.171257 | + | 0.204096i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.18543 | − | 2.88432i | 0.246826 | − | 0.115097i | ||||
\(629\) | 17.8346 | + | 30.8904i | 0.711111 | + | 1.23168i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.0047 | + | 39.8453i | −0.915802 | + | 1.58622i | −0.110078 | + | 0.993923i | \(0.535110\pi\) |
−0.805723 | + | 0.592292i | \(0.798223\pi\) | |||||||
\(632\) | −0.456515 | + | 5.21799i | −0.0181592 | + | 0.207561i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 6.50386 | + | 1.14681i | 0.258301 | + | 0.0455455i | ||||
\(635\) | 14.9226 | + | 7.58811i | 0.592187 | + | 0.301125i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.07666 | + | 0.356661i | 0.161523 | + | 0.0141314i | ||||
\(638\) | −50.8802 | + | 13.6333i | −2.01437 | + | 0.539748i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.17835 | − | 0.504786i | 0.0861067 | − | 0.0199534i | ||||
\(641\) | 2.49833 | − | 6.86411i | 0.0986782 | − | 0.271116i | −0.880524 | − | 0.474001i | \(-0.842809\pi\) |
0.979203 | + | 0.202885i | \(0.0650317\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 39.1523 | − | 3.42538i | 1.54402 | − | 0.135084i | 0.716925 | − | 0.697150i | \(-0.245549\pi\) |
0.827092 | + | 0.562066i | \(0.189993\pi\) | |||||||
\(644\) | 4.44095 | − | 1.61637i | 0.174998 | − | 0.0636941i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.59164 | + | 20.3692i | 0.141311 | + | 0.801415i | ||||
\(647\) | 24.0132 | − | 24.0132i | 0.944058 | − | 0.944058i | −0.0544579 | − | 0.998516i | \(-0.517343\pi\) |
0.998516 | + | 0.0544579i | \(0.0173431\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 15.6809i | 0.615528i | ||||||||
\(650\) | 0.761616 | − | 1.71817i | 0.0298730 | − | 0.0673922i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.859359 | − | 0.400726i | −0.0336551 | − | 0.0156936i | ||||
\(653\) | 0.161787 | + | 1.84923i | 0.00633120 | + | 0.0723659i | 0.998703 | − | 0.0509153i | \(-0.0162138\pi\) |
−0.992372 | + | 0.123281i | \(0.960658\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −27.3370 | + | 3.86475i | −1.06815 | + | 0.151008i | ||||
\(656\) | 4.19595 | − | 2.42253i | 0.163824 | − | 0.0945840i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 8.03385 | + | 29.9828i | 0.313192 | + | 1.16885i | ||||
\(659\) | −7.92888 | + | 6.65312i | −0.308865 | + | 0.259169i | −0.784023 | − | 0.620732i | \(-0.786835\pi\) |
0.475158 | + | 0.879901i | \(0.342391\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.12789 | − | 23.4104i | 0.160556 | − | 0.910561i | −0.792972 | − | 0.609258i | \(-0.791467\pi\) |
0.953529 | − | 0.301303i | \(-0.0974215\pi\) | |||||||
\(662\) | −5.31906 | − | 7.59641i | −0.206731 | − | 0.295243i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.07000 | − | 3.65868i | −0.119139 | − | 0.141985i | ||||
\(665\) | 23.3991 | − | 21.8558i | 0.907380 | − | 0.847533i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.92824 | + | 10.9283i | −0.113382 | + | 0.423147i | ||||
\(668\) | 2.11973 | + | 4.54577i | 0.0820147 | + | 0.175881i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.113000 | + | 0.533770i | −0.00436559 | + | 0.0206213i | ||||
\(671\) | 13.6038 | + | 37.3762i | 0.525170 | + | 1.44289i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.79958 | + | 4.06091i | 0.223558 | + | 0.156537i | 0.679990 | − | 0.733221i | \(-0.261984\pi\) |
−0.456432 | + | 0.889758i | \(0.650873\pi\) | |||||||
\(674\) | −35.1675 | −1.35460 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.8587 | 0.494566 | ||||||||
\(677\) | −19.3267 | − | 13.5327i | −0.742787 | − | 0.520105i | 0.139843 | − | 0.990174i | \(-0.455340\pi\) |
−0.882630 | + | 0.470068i | \(0.844229\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 22.6533 | + | 62.2395i | 0.869355 | + | 2.38853i | ||||
\(680\) | 2.82920 | − | 13.3640i | 0.108495 | − | 0.512487i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −7.85421 | − | 16.8434i | −0.300753 | − | 0.644967i | ||||
\(683\) | 12.1872 | − | 45.4832i | 0.466330 | − | 1.74037i | −0.186112 | − | 0.982529i | \(-0.559589\pi\) |
0.652442 | − | 0.757839i | \(-0.273745\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −20.7540 | + | 19.3852i | −0.792970 | + | 0.740669i | ||||
\(686\) | −10.5670 | − | 12.5933i | −0.403452 | − | 0.480815i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.75406 | + | 5.36136i | 0.143122 | + | 0.204400i | ||||
\(689\) | −0.590119 | + | 3.34673i | −0.0224818 | + | 0.127500i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.4777 | − | 10.4701i | 0.474675 | − | 0.398300i | −0.373821 | − | 0.927501i | \(-0.621953\pi\) |
0.848497 | + | 0.529201i | \(0.177508\pi\) | |||||||
\(692\) | −1.46912 | − | 5.48283i | −0.0558476 | − | 0.208426i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −16.0764 | + | 9.28171i | −0.610252 | + | 0.352329i | ||||
\(695\) | 9.66817 | − | 1.36683i | 0.366734 | − | 0.0518468i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.57970 | − | 29.4861i | −0.0977129 | − | 1.11686i | ||||
\(698\) | 8.91100 | + | 4.15527i | 0.337286 | + | 0.157279i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −19.7296 | + | 7.61050i | −0.745708 | + | 0.287650i | ||||
\(701\) | − | 20.7744i | − | 0.784637i | −0.919829 | − | 0.392319i | \(-0.871673\pi\) | ||
0.919829 | − | 0.392319i | \(-0.128327\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −13.9783 | + | 13.9783i | −0.527202 | + | 0.527202i | ||||
\(704\) | 0.903414 | + | 5.12351i | 0.0340487 | + | 0.193100i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.07698 | − | 1.11993i | 0.115804 | − | 0.0421491i | ||||
\(707\) | −37.0760 | + | 3.24373i | −1.39439 | + | 0.121993i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 13.3009 | − | 36.5440i | 0.499527 | − | 1.37244i | −0.392207 | − | 0.919877i | \(-0.628288\pi\) |
0.891733 | − | 0.452561i | \(-0.149490\pi\) | |||||||
\(710\) | 0.133393 | − | 0.0309111i | 0.00500616 | − | 0.00116007i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −8.96137 | + | 2.40119i | −0.335842 | + | 0.0899885i | ||||
\(713\) | −3.97652 | − | 0.347900i | −0.148922 | − | 0.0130290i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.89775 | + | 1.98199i | 0.145768 | + | 0.0741223i | ||||
\(716\) | 14.0319 | + | 2.47421i | 0.524398 | + | 0.0924655i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.43722 | − | 16.4275i | 0.0536365 | − | 0.613067i | ||||
\(719\) | −6.20709 | + | 10.7510i | −0.231485 | + | 0.400945i | −0.958245 | − | 0.285947i | \(-0.907692\pi\) |
0.726760 | + | 0.686891i | \(0.241025\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.00370644 | + | 0.00641974i | 0.000138035 | + | 0.000239083i | ||||
\(722\) | 6.83081 | − | 3.18526i | 0.254216 | − | 0.118543i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 8.42604 | − | 10.0418i | 0.313151 | − | 0.373199i | ||||
\(725\) | 12.1668 | − | 49.1405i | 0.451864 | − | 1.82503i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7.81380 | + | 11.1593i | −0.289798 | + | 0.413874i | −0.937481 | − | 0.348035i | \(-0.886849\pi\) |
0.647684 | + | 0.761909i | \(0.275738\pi\) | |||||||
\(728\) | 1.12410 | + | 1.12410i | 0.0416619 | + | 0.0416619i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −13.0486 | + | 6.95174i | −0.482950 | + | 0.257295i | ||||
\(731\) | 39.3763 | − | 6.94310i | 1.45638 | − | 0.256800i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.31307 | − | 15.6829i | 0.270115 | − | 0.579263i | −0.723725 | − | 0.690088i | \(-0.757572\pi\) |
0.993840 | + | 0.110826i | \(0.0353495\pi\) | |||||||
\(734\) | 25.0724 | + | 21.0382i | 0.925437 | + | 0.776534i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.05004 | + | 0.382184i | 0.0387051 | + | 0.0140875i | ||||
\(737\) | −1.22617 | − | 0.328551i | −0.0451665 | − | 0.0121023i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −28.8265 | − | 16.6430i | −1.06040 | − | 0.612223i | −0.134858 | − | 0.990865i | \(-0.543058\pi\) |
−0.925543 | + | 0.378642i | \(0.876391\pi\) | |||||||
\(740\) | 12.0138 | − | 5.11115i | 0.441636 | − | 0.187889i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 31.3222 | − | 21.9320i | 1.14987 | − | 0.805151i | ||||
\(743\) | 14.7359 | − | 10.3182i | 0.540607 | − | 0.378537i | −0.271146 | − | 0.962538i | \(-0.587402\pi\) |
0.811753 | + | 0.584001i | \(0.198514\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.55691 | + | 0.627553i | 0.0570408 | + | 0.0229918i | ||||
\(746\) | 5.37216 | + | 3.10162i | 0.196689 | + | 0.113558i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 30.6996 | + | 8.22594i | 1.12249 | + | 0.300770i | ||||
\(749\) | −44.5396 | − | 16.2111i | −1.62744 | − | 0.592340i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.4184 | + | 12.9376i | 0.562627 | + | 0.472100i | 0.879190 | − | 0.476471i | \(-0.158084\pi\) |
−0.316563 | + | 0.948571i | \(0.602529\pi\) | |||||||
\(752\) | −3.10175 | + | 6.65173i | −0.113109 | + | 0.242563i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.74793 | + | 0.660860i | −0.136491 | + | 0.0240671i | ||||
\(755\) | −2.62707 | − | 4.93106i | −0.0956087 | − | 0.179460i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −18.5041 | − | 18.5041i | −0.672541 | − | 0.672541i | 0.285760 | − | 0.958301i | \(-0.407754\pi\) |
−0.958301 | + | 0.285760i | \(0.907754\pi\) | |||||||
\(758\) | 3.91301 | − | 5.58836i | 0.142127 | − | 0.202979i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 7.55998 | − | 0.402397i | 0.274229 | − | 0.0145965i | ||||
\(761\) | −13.7056 | + | 16.3338i | −0.496829 | + | 0.592098i | −0.954941 | − | 0.296797i | \(-0.904082\pi\) |
0.458111 | + | 0.888895i | \(0.348526\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 8.48934 | − | 3.95864i | 0.307335 | − | 0.143313i | ||||
\(764\) | −0.718252 | − | 1.24405i | −0.0259854 | − | 0.0450081i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.72684 | + | 2.99098i | −0.0623934 | + | 0.108069i | ||||
\(767\) | −0.0987416 | + | 1.12862i | −0.00356535 | + | 0.0407522i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −13.6805 | − | 2.41225i | −0.493332 | − | 0.0869878i | −0.0785532 | − | 0.996910i | \(-0.525030\pi\) |
−0.414779 | + | 0.909922i | \(0.636141\pi\) | |||||||
\(770\) | −15.2421 | − | 46.7801i | −0.549286 | − | 1.68584i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 19.5850 | + | 1.71347i | 0.704880 | + | 0.0616690i | ||||
\(773\) | 26.7372 | − | 7.16421i | 0.961671 | − | 0.257679i | 0.256363 | − | 0.966580i | \(-0.417476\pi\) |
0.705307 | + | 0.708902i | \(0.250809\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 17.8196 | + | 1.21680i | 0.640098 | + | 0.0437088i | ||||
\(776\) | −5.35628 | + | 14.7163i | −0.192279 | + | 0.528283i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 11.8954 | − | 1.04071i | 0.426469 | − | 0.0373112i | ||||
\(779\) | 15.4147 | − | 5.61050i | 0.552289 | − | 0.201017i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.0553214 | + | 0.313743i | 0.00197956 | + | 0.0112266i | ||||
\(782\) | 4.82702 | − | 4.82702i | 0.172614 | − | 0.172614i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | − | 10.8870i | − | 0.388822i | ||||||
\(785\) | −15.1486 | − | 1.84745i | −0.540678 | − | 0.0659384i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.50081 | + | 1.63245i | 0.124790 | + | 0.0581906i | 0.484011 | − | 0.875062i | \(-0.339180\pi\) |
−0.359220 | + | 0.933253i | \(0.616957\pi\) | |||||||
\(788\) | −1.72262 | − | 19.6896i | −0.0613657 | − | 0.701413i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 7.04103 | − | 9.35966i | 0.250508 | − | 0.333002i | ||||
\(791\) | 4.60979 | − | 2.66146i | 0.163905 | − | 0.0946308i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.743773 | + | 2.77580i | 0.0264122 | + | 0.0985715i | ||||
\(794\) | −1.99545 | + | 1.67438i | −0.0708160 | + | 0.0594217i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.35199 | − | 7.66752i | 0.0479201 | − | 0.271768i | ||||
\(797\) | −7.23990 | − | 10.3397i | −0.256451 | − | 0.366249i | 0.670195 | − | 0.742185i | \(-0.266210\pi\) |
−0.926646 | + | 0.375935i | \(0.877321\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 28.8203 | + | 34.3467i | 1.01959 | + | 1.21510i | ||||
\(800\) | −4.73025 | − | 1.62011i | −0.167239 | − | 0.0572796i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −1.74832 | + | 6.52481i | −0.0617353 | + | 0.230399i | ||||
\(803\) | −14.5377 | − | 31.1763i | −0.513026 | − | 1.10019i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −10.3384 | − | 2.18867i | −0.364382 | − | 0.0771406i | ||||
\(806\) | −0.459240 | − | 1.26175i | −0.0161761 | − | 0.0444433i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −7.20849 | − | 5.04744i | −0.253594 | − | 0.177568i | ||||
\(809\) | −9.03399 | −0.317618 | −0.158809 | − | 0.987309i | \(-0.550765\pi\) | ||||
−0.158809 | + | 0.987309i | \(0.550765\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −18.4143 | −0.646613 | −0.323307 | − | 0.946294i | \(-0.604795\pi\) | ||||
−0.323307 | + | 0.946294i | \(0.604795\pi\) | |||||||
\(812\) | 35.0770 | + | 24.5612i | 1.23096 | + | 0.861928i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 10.3893 | + | 28.5445i | 0.364146 | + | 1.00048i | ||||
\(815\) | 1.15622 | + | 1.77723i | 0.0405005 | + | 0.0622538i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 9.36501 | + | 20.0833i | 0.327640 | + | 0.702627i | ||||
\(818\) | 1.00616 | − | 3.75502i | 0.0351794 | − | 0.131291i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −10.8276 | − | 0.369249i | −0.378116 | − | 0.0128947i | ||||
\(821\) | 2.83979 | + | 3.38433i | 0.0991094 | + | 0.118114i | 0.813319 | − | 0.581818i | \(-0.197658\pi\) |
−0.714210 | + | 0.699932i | \(0.753214\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −23.3920 | − | 33.4072i | −0.815394 | − | 1.16450i | −0.983885 | − | 0.178800i | \(-0.942779\pi\) |
0.168492 | − | 0.985703i | \(-0.446110\pi\) | |||||||
\(824\) | −0.000304360 | 0.00172611i | −1.06029e−5 | 6.01320e-5i | ||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 9.76509 | − | 8.19389i | 0.339771 | − | 0.285102i | ||||
\(827\) | 0.320175 | + | 1.19491i | 0.0111336 | + | 0.0415511i | 0.971269 | − | 0.237984i | \(-0.0764865\pi\) |
−0.960136 | + | 0.279535i | \(0.909820\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16.1883 | − | 9.34633i | 0.562243 | − | 0.324611i | −0.191802 | − | 0.981434i | \(-0.561433\pi\) |
0.754045 | + | 0.656822i | \(0.228100\pi\) | |||||||
\(830\) | 1.49496 | + | 10.5745i | 0.0518908 | + | 0.367045i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.0327602 | + | 0.374451i | 0.00113576 | + | 0.0129818i | ||||
\(833\) | −60.2778 | − | 28.1080i | −2.08850 | − | 0.973885i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.35772 | − | 11.1330i | 0.0469859 | − | 0.385272i | ||||
\(836\) | 17.6143i | 0.609205i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 10.0801 | − | 10.0801i | 0.348212 | − | 0.348212i | ||||
\(839\) | −0.681446 | − | 3.86467i | −0.0235261 | − | 0.133423i | 0.970783 | − | 0.239961i | \(-0.0771346\pi\) |
−0.994309 | + | 0.106538i | \(0.966024\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −69.0793 | + | 25.1428i | −2.38204 | + | 0.866993i | ||||
\(842\) | −28.3974 | + | 2.48445i | −0.978638 | + | 0.0856197i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.178323 | + | 0.489937i | −0.00613811 | + | 0.0168643i | ||||
\(845\) | −24.3963 | − | 15.2168i | −0.839259 | − | 0.523474i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 65.6350 | − | 17.5869i | 2.25525 | − | 0.604292i | ||||
\(848\) | 9.00664 | + | 0.787979i | 0.309289 | + | 0.0270593i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −21.1825 | + | 22.0070i | −0.726555 | + | 0.754835i | ||||
\(851\) | 6.42529 | + | 1.13295i | 0.220256 | + | 0.0388371i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.22873 | + | 48.3346i | −0.144789 | + | 1.65494i | 0.482307 | + | 0.876002i | \(0.339799\pi\) |
−0.627096 | + | 0.778942i | \(0.715757\pi\) | |||||||
\(854\) | 16.1671 | − | 28.0023i | 0.553227 | − | 0.958217i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.60352 | − | 9.70559i | −0.191524 | − | 0.331730i | ||||
\(857\) | 47.8835 | − | 22.3284i | 1.63567 | − | 0.762725i | 0.635712 | − | 0.771927i | \(-0.280707\pi\) |
0.999958 | + | 0.00920138i | \(0.00292893\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.5714 | + | 18.5573i | −0.531291 | + | 0.633168i | −0.963212 | − | 0.268744i | \(-0.913392\pi\) |
0.431921 | + | 0.901912i | \(0.357836\pi\) | |||||||
\(860\) | −0.777885 | − | 14.6144i | −0.0265257 | − | 0.498347i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −22.3224 | + | 31.8796i | −0.760302 | + | 1.08582i | ||||
\(863\) | −13.3492 | − | 13.3492i | −0.454411 | − | 0.454411i | 0.442405 | − | 0.896816i | \(-0.354126\pi\) |
−0.896816 | + | 0.442405i | \(0.854126\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.70100 | + | 12.1409i | −0.125838 | + | 0.412803i | ||||
\(866\) | −11.8475 | + | 2.08903i | −0.402594 | + | 0.0709881i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −6.38491 | + | 13.6925i | −0.216718 | + | 0.464753i | ||||
\(869\) | 20.8752 | + | 17.5163i | 0.708141 | + | 0.594201i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.0861839 | − | 0.0313684i | −0.00292023 | − | 0.00106288i | ||||
\(872\) | 2.13931 | + | 0.573225i | 0.0724460 | + | 0.0194119i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 3.27644 | + | 1.89165i | 0.110827 | + | 0.0639861i | ||||
\(875\) | 46.4383 | + | 8.90859i | 1.56990 | + | 0.301165i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.54626 | − | 2.48312i | 0.119749 | − | 0.0838489i | −0.512168 | − | 0.858885i | \(-0.671157\pi\) |
0.631917 | + | 0.775036i | \(0.282269\pi\) | |||||||
\(878\) | 30.9067 | − | 21.6411i | 1.04305 | − | 0.730352i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 4.34908 | − | 10.7897i | 0.146607 | − | 0.363722i | ||||
\(881\) | 15.2989 | + | 8.83285i | 0.515434 | + | 0.297586i | 0.735065 | − | 0.677997i | \(-0.237152\pi\) |
−0.219630 | + | 0.975583i | \(0.570485\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 52.4360 | + | 14.0502i | 1.76461 | + | 0.472826i | 0.987644 | − | 0.156716i | \(-0.0500906\pi\) |
0.776967 | + | 0.629542i | \(0.216757\pi\) | |||||||
\(884\) | 2.15779 | + | 0.785372i | 0.0725744 | + | 0.0264149i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 28.4678 | + | 23.8873i | 0.956393 | + | 0.802509i | ||||
\(887\) | −11.3090 | + | 24.2523i | −0.379721 | + | 0.814313i | 0.619842 | + | 0.784727i | \(0.287197\pi\) |
−0.999562 | + | 0.0295865i | \(0.990581\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 31.1831 | − | 5.49843i | 1.04585 | − | 0.184411i | ||||
\(890\) | 19.8436 | + | 6.04907i | 0.665159 | + | 0.202765i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 6.13082 | + | 6.13082i | 0.205275 | + | 0.205275i | ||||
\(893\) | −14.2528 | + | 20.3551i | −0.476951 | + | 0.681157i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −23.6943 | − | 21.2994i | −0.792013 | − | 0.711961i | ||||
\(896\) | 2.71855 | − | 3.23984i | 0.0908202 | − | 0.108235i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 35.4306 | − | 16.5216i | 1.18234 | − | 0.551332i | ||||
\(899\) | −18.0841 | − | 31.3225i | −0.603138 | − | 1.04467i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 27.6160 | − | 47.8324i | 0.920024 | − | 1.59353i | ||||
\(902\) | 2.19691 | − | 25.1108i | 0.0731491 | − | 0.836098i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.23946 | + | 0.218550i | 0.0412239 | + | 0.00726888i | ||||
\(905\) | −27.8697 | + | 9.08060i | −0.926420 | + | 0.301849i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.91052 | + | 0.342126i | 0.129847 | + | 0.0113601i | 0.151894 | − | 0.988397i | \(-0.451463\pi\) |
−0.0220472 | + | 0.999757i | \(0.507018\pi\) | |||||||
\(908\) | −5.99518 | + | 1.60640i | −0.198957 | + | 0.0533104i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.802467 | − | 3.46295i | −0.0266015 | − | 0.114796i | ||||
\(911\) | −10.6171 | + | 29.1702i | −0.351760 | + | 0.966452i | 0.630045 | + | 0.776559i | \(0.283036\pi\) |
−0.981805 | + | 0.189893i | \(0.939186\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −24.7532 | + | 2.16563i | −0.819212 | + | 0.0716718i | ||||
\(914\) | −8.34368 | + | 3.03685i | −0.275985 | + | 0.100450i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.16292 | + | 23.6091i | 0.137547 | + | 0.780066i | ||||
\(917\) | −36.9248 | + | 36.9248i | −1.21936 | + | 1.21936i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 36.3601i | 1.19941i | 0.800222 | + | 0.599705i | \(0.204715\pi\) | ||||
−0.800222 | + | 0.599705i | \(0.795285\pi\) | |||||||
\(920\) | −1.53993 | − | 1.96771i | −0.0507701 | − | 0.0648734i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −30.5105 | − | 14.2273i | −1.00481 | − | 0.468550i | ||||
\(923\) | 0.00200610 | + | 0.0229299i | 6.60317e−5 | + | 0.000754746i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −28.8418 | − | 4.51977i | −0.948311 | − | 0.148609i | ||||
\(926\) | −8.57266 | + | 4.94943i | −0.281715 | + | 0.162648i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.62050 | + | 9.77986i | 0.0860223 | + | 0.321040i | ||||
\(929\) | −23.1288 | + | 19.4073i | −0.758830 | + | 0.636734i | −0.937822 | − | 0.347117i | \(-0.887161\pi\) |
0.178992 | + | 0.983850i | \(0.442716\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.40073 | − | 36.3003i | 0.209775 | − | 1.18969i | ||||
\(932\) | 6.70090 | + | 9.56988i | 0.219495 | + | 0.313472i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −5.10847 | − | 6.08804i | −0.167154 | − | 0.199207i | ||||
\(935\) | −48.5107 | − | 51.9362i | −1.58647 | − | 1.69850i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1.58532 | − | 5.91649i | 0.0517901 | − | 0.193283i | −0.935184 | − | 0.354162i | \(-0.884766\pi\) |
0.986974 | + | 0.160879i | \(0.0514328\pi\) | |||||||
\(938\) | 0.436121 | + | 0.935264i | 0.0142398 | + | 0.0305375i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 13.7564 | − | 8.94949i | 0.448684 | − | 0.291900i | ||||
\(941\) | −10.4752 | − | 28.7803i | −0.341481 | − | 0.938212i | −0.984965 | − | 0.172753i | \(-0.944734\pi\) |
0.643484 | − | 0.765460i | \(-0.277488\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.43492 | − | 3.10536i | −0.144421 | − | 0.101125i | ||||
\(944\) | 3.01407 | 0.0980996 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 34.0508 | 1.10709 | ||||||||
\(947\) | −6.30587 | − | 4.41542i | −0.204913 | − | 0.143482i | 0.466616 | − | 0.884460i | \(-0.345473\pi\) |
−0.671529 | + | 0.740978i | \(0.734362\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.850031 | − | 2.33544i | −0.0275932 | − | 0.0758116i | ||||
\(950\) | −14.8194 | − | 8.18291i | −0.480806 | − | 0.265489i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −10.9192 | − | 23.4163i | −0.353893 | − | 0.758925i | ||||
\(953\) | −6.78716 | + | 25.3300i | −0.219858 | + | 0.820520i | 0.764542 | + | 0.644574i | \(0.222965\pi\) |
−0.984400 | + | 0.175946i | \(0.943701\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.109478 | + | 3.21025i | −0.00354262 | + | 0.103881i | ||||
\(956\) | −11.8536 | − | 14.1265i | −0.383372 | − | 0.456885i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 9.04225 | + | 12.9137i | 0.292142 | + | 0.417222i | ||||
\(959\) | −9.32739 | + | 52.8982i | −0.301197 | + | 1.70817i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.9721 | + | 11.7240i | −0.450713 | + | 0.378193i | ||||
\(962\) | 0.568024 | + | 2.11990i | 0.0183138 | + | 0.0683482i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −4.30913 | + | 2.48788i | −0.138788 | + | 0.0801291i | ||||
\(965\) | −35.1302 | − | 26.4275i | −1.13088 | − | 0.850731i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.09918 | + | 46.8539i | 0.131821 | + | 1.50672i | 0.717718 | + | 0.696333i | \(0.245187\pi\) |
−0.585898 | + | 0.810385i | \(0.699258\pi\) | |||||||
\(968\) | 14.5613 | + | 6.79002i | 0.468016 | + | 0.218240i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 27.5773 | − | 21.5820i | 0.885452 | − | 0.692957i | ||||
\(971\) | 52.7240i | 1.69199i | 0.533188 | + | 0.845997i | \(0.320994\pi\) | ||||
−0.533188 | + | 0.845997i | \(0.679006\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 13.0590 | − | 13.0590i | 0.418653 | − | 0.418653i | ||||
\(974\) | 1.49444 | + | 8.47537i | 0.0478848 | + | 0.271568i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.18421 | − | 2.61484i | 0.229961 | − | 0.0836990i | ||||
\(977\) | 42.1182 | − | 3.68487i | 1.34748 | − | 0.117889i | 0.609541 | − | 0.792755i | \(-0.291354\pi\) |
0.737941 | + | 0.674866i | \(0.235798\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −16.5082 | + | 45.3558i | −0.527603 | + | 1.44958i | ||||
\(980\) | −12.8835 | + | 20.6555i | −0.411550 | + | 0.659817i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −30.0084 | + | 8.04072i | −0.957606 | + | 0.256590i | ||||
\(983\) | −26.4689 | − | 2.31573i | −0.844226 | − | 0.0738602i | −0.343168 | − | 0.939274i | \(-0.611500\pi\) |
−0.501058 | + | 0.865414i | \(0.667056\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −20.0321 | + | 39.3948i | −0.638277 | + | 1.25522i | ||||
\(986\) | 60.9134 | + | 10.7407i | 1.93988 | + | 0.342053i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.110917 | + | 1.26778i | −0.00352873 | + | 0.0403335i | ||||
\(989\) | 3.65680 | − | 6.33377i | 0.116280 | − | 0.201402i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.05011 | − | 1.81884i | −0.0333578 | − | 0.0577774i | 0.848865 | − | 0.528610i | \(-0.177287\pi\) |
−0.882222 | + | 0.470833i | \(0.843953\pi\) | |||||||
\(992\) | −3.23753 | + | 1.50968i | −0.102792 | + | 0.0479325i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.166473 | − | 0.198395i | 0.00528020 | − | 0.00629269i | ||||
\(995\) | −11.6387 | + | 12.9474i | −0.368972 | + | 0.410459i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −28.4801 | + | 40.6738i | −0.901975 | + | 1.28815i | 0.0551503 | + | 0.998478i | \(0.482436\pi\) |
−0.957125 | + | 0.289675i | \(0.906453\pi\) | |||||||
\(998\) | 9.25966 | + | 9.25966i | 0.293109 | + | 0.293109i | ||||
\(999\) | 0 | 0 |
(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 | 810.2.s.a.557.6 | 216 | ||
3.2 | odd | 2 | 270.2.r.a.257.18 | yes | 216 | ||
5.3 | odd | 4 | inner | 810.2.s.a.233.8 | 216 | ||
15.8 | even | 4 | 270.2.r.a.203.13 | yes | 216 | ||
27.2 | odd | 18 | inner | 810.2.s.a.737.8 | 216 | ||
27.25 | even | 9 | 270.2.r.a.137.13 | yes | 216 | ||
135.83 | even | 36 | inner | 810.2.s.a.413.6 | 216 | ||
135.133 | odd | 36 | 270.2.r.a.83.18 | ✓ | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
270.2.r.a.83.18 | ✓ | 216 | 135.133 | odd | 36 | ||
270.2.r.a.137.13 | yes | 216 | 27.25 | even | 9 | ||
270.2.r.a.203.13 | yes | 216 | 15.8 | even | 4 | ||
270.2.r.a.257.18 | yes | 216 | 3.2 | odd | 2 | ||
810.2.s.a.233.8 | 216 | 5.3 | odd | 4 | inner | ||
810.2.s.a.413.6 | 216 | 135.83 | even | 36 | inner | ||
810.2.s.a.557.6 | 216 | 1.1 | even | 1 | trivial | ||
810.2.s.a.737.8 | 216 | 27.2 | odd | 18 | inner |