Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Character | \(\chi\) | \(=\) | 177.11 |
Dual form | 177.2.f.a.161.6 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{25}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.917082 | + | 0.201865i | −0.648475 | + | 0.142740i | −0.527015 | − | 0.849856i | \(-0.676689\pi\) |
−0.121460 | + | 0.992596i | \(0.538758\pi\) | |||||||
\(3\) | 1.45281 | + | 0.943048i | 0.838781 | + | 0.544469i | ||||
\(4\) | −1.01486 | + | 0.469524i | −0.507430 | + | 0.234762i | ||||
\(5\) | 1.27873 | + | 0.355038i | 0.571866 | + | 0.158778i | 0.541411 | − | 0.840758i | \(-0.317890\pi\) |
0.0304556 | + | 0.999536i | \(0.490304\pi\) | |||||||
\(6\) | −1.52272 | − | 0.571581i | −0.621646 | − | 0.233347i | ||||
\(7\) | −3.08222 | + | 2.91963i | −1.16497 | + | 1.10352i | −0.172006 | + | 0.985096i | \(0.555025\pi\) |
−0.992963 | + | 0.118421i | \(0.962217\pi\) | |||||||
\(8\) | 2.33105 | − | 1.77202i | 0.824151 | − | 0.626503i | ||||
\(9\) | 1.22132 | + | 2.74014i | 0.407106 | + | 0.913381i | ||||
\(10\) | −1.24437 | − | 0.0674679i | −0.393505 | − | 0.0213352i | ||||
\(11\) | −0.0607546 | − | 0.0715258i | −0.0183182 | − | 0.0215659i | 0.752927 | − | 0.658104i | \(-0.228641\pi\) |
−0.771245 | + | 0.636539i | \(0.780366\pi\) | |||||||
\(12\) | −1.91718 | − | 0.274932i | −0.553443 | − | 0.0793661i | ||||
\(13\) | −0.0319516 | − | 0.0948290i | −0.00886178 | − | 0.0263008i | 0.943131 | − | 0.332421i | \(-0.107866\pi\) |
−0.951993 | + | 0.306120i | \(0.900969\pi\) | |||||||
\(14\) | 2.23728 | − | 3.29974i | 0.597937 | − | 0.881891i | ||||
\(15\) | 1.52294 | + | 1.72171i | 0.393221 | + | 0.444544i | ||||
\(16\) | −0.332229 | + | 0.391130i | −0.0830572 | + | 0.0977825i | ||||
\(17\) | −1.23975 | + | 1.30879i | −0.300684 | + | 0.317428i | −0.858776 | − | 0.512351i | \(-0.828775\pi\) |
0.558093 | + | 0.829779i | \(0.311533\pi\) | |||||||
\(18\) | −1.67319 | − | 2.26639i | −0.394375 | − | 0.534194i | ||||
\(19\) | 1.14638 | + | 2.87720i | 0.262998 | + | 0.660076i | 0.999873 | − | 0.0159536i | \(-0.00507842\pi\) |
−0.736874 | + | 0.676030i | \(0.763699\pi\) | |||||||
\(20\) | −1.46443 | + | 0.240082i | −0.327457 | + | 0.0536839i | ||||
\(21\) | −7.23124 | + | 1.33499i | −1.57798 | + | 0.291319i | ||||
\(22\) | 0.0701555 | + | 0.0533309i | 0.0149572 | + | 0.0113702i | ||||
\(23\) | 5.95945 | − | 0.648129i | 1.24263 | − | 0.135144i | 0.536914 | − | 0.843637i | \(-0.319590\pi\) |
0.705718 | + | 0.708493i | \(0.250625\pi\) | |||||||
\(24\) | 5.05768 | − | 0.376114i | 1.03239 | − | 0.0767740i | ||||
\(25\) | −2.77518 | − | 1.66977i | −0.555036 | − | 0.333954i | ||||
\(26\) | 0.0484449 | + | 0.0805161i | 0.00950083 | + | 0.0157905i | ||||
\(27\) | −0.809741 | + | 5.13267i | −0.155835 | + | 0.987783i | ||||
\(28\) | 1.75718 | − | 4.41020i | 0.332076 | − | 0.833449i | ||||
\(29\) | 1.07393 | − | 4.87891i | 0.199424 | − | 0.905992i | −0.765495 | − | 0.643442i | \(-0.777506\pi\) |
0.964919 | − | 0.262549i | \(-0.0845633\pi\) | |||||||
\(30\) | −1.74421 | − | 1.27152i | −0.318448 | − | 0.232147i | ||||
\(31\) | 8.35692 | + | 3.32970i | 1.50095 | + | 0.598032i | 0.968629 | − | 0.248513i | \(-0.0799418\pi\) |
0.532318 | + | 0.846545i | \(0.321321\pi\) | |||||||
\(32\) | −2.51738 | + | 4.74828i | −0.445014 | + | 0.839386i | ||||
\(33\) | −0.0208126 | − | 0.161208i | −0.00362301 | − | 0.0280627i | ||||
\(34\) | 0.872754 | − | 1.45053i | 0.149676 | − | 0.248764i | ||||
\(35\) | −4.97791 | + | 2.63912i | −0.841421 | + | 0.446093i | ||||
\(36\) | −2.52603 | − | 2.20742i | −0.421005 | − | 0.367904i | ||||
\(37\) | 3.26645 | − | 4.29694i | 0.537001 | − | 0.706413i | −0.444948 | − | 0.895556i | \(-0.646778\pi\) |
0.981950 | + | 0.189143i | \(0.0605710\pi\) | |||||||
\(38\) | −1.63213 | − | 2.40722i | −0.264767 | − | 0.390502i | ||||
\(39\) | 0.0430087 | − | 0.167900i | 0.00688690 | − | 0.0268856i | ||||
\(40\) | 3.60992 | − | 1.43833i | 0.570779 | − | 0.227419i | ||||
\(41\) | 0.971436 | − | 8.93220i | 0.151713 | − | 1.39498i | −0.632537 | − | 0.774530i | \(-0.717986\pi\) |
0.784249 | − | 0.620446i | \(-0.213048\pi\) | |||||||
\(42\) | 6.36215 | − | 2.68403i | 0.981701 | − | 0.414155i | ||||
\(43\) | −5.25362 | − | 4.46247i | −0.801170 | − | 0.680520i | 0.150171 | − | 0.988660i | \(-0.452018\pi\) |
−0.951341 | + | 0.308140i | \(0.900293\pi\) | |||||||
\(44\) | 0.0952405 | + | 0.0440630i | 0.0143581 | + | 0.00664274i | ||||
\(45\) | 0.588885 | + | 3.93752i | 0.0877858 | + | 0.586971i | ||||
\(46\) | −5.33447 | + | 1.79739i | −0.786525 | + | 0.265011i | ||||
\(47\) | −2.50015 | − | 9.00471i | −0.364684 | − | 1.31347i | −0.887414 | − | 0.460974i | \(-0.847500\pi\) |
0.522730 | − | 0.852498i | \(-0.324914\pi\) | |||||||
\(48\) | −0.851520 | + | 0.254930i | −0.122906 | + | 0.0367960i | ||||
\(49\) | 0.596845 | − | 11.0082i | 0.0852635 | − | 1.57259i | ||||
\(50\) | 2.88214 | + | 0.971106i | 0.407596 | + | 0.137335i | ||||
\(51\) | −3.03537 | + | 0.732278i | −0.425037 | + | 0.102539i | ||||
\(52\) | 0.0769509 | + | 0.0812361i | 0.0106712 | + | 0.0112654i | ||||
\(53\) | 5.93871 | − | 0.321987i | 0.815745 | − | 0.0442284i | 0.358456 | − | 0.933547i | \(-0.383303\pi\) |
0.457289 | + | 0.889318i | \(0.348821\pi\) | |||||||
\(54\) | −0.293508 | − | 4.87054i | −0.0399414 | − | 0.662797i | ||||
\(55\) | −0.0522944 | − | 0.113033i | −0.00705138 | − | 0.0152413i | ||||
\(56\) | −2.01116 | + | 12.2676i | −0.268753 | + | 1.63932i | ||||
\(57\) | −1.04787 | + | 5.26113i | −0.138793 | + | 0.696854i | ||||
\(58\) | 4.69116i | 0.615979i | ||||||||
\(59\) | 7.60583 | + | 1.07300i | 0.990195 | + | 0.139693i | ||||
\(60\) | −2.35395 | − | 1.03224i | −0.303894 | − | 0.133261i | ||||
\(61\) | 2.05097 | + | 9.31765i | 0.262600 | + | 1.19300i | 0.904588 | + | 0.426288i | \(0.140179\pi\) |
−0.641988 | + | 0.766715i | \(0.721890\pi\) | |||||||
\(62\) | −8.33613 | − | 1.36664i | −1.05869 | − | 0.173563i | ||||
\(63\) | −11.7646 | − | 4.87991i | −1.48220 | − | 0.614811i | ||||
\(64\) | 1.62472 | − | 5.85170i | 0.203089 | − | 0.731462i | ||||
\(65\) | −0.00718963 | − | 0.132605i | −0.000891764 | − | 0.0164476i | ||||
\(66\) | 0.0516292 | + | 0.143640i | 0.00635511 | + | 0.0176808i | ||||
\(67\) | −0.161597 | − | 0.212577i | −0.0197422 | − | 0.0259704i | 0.786116 | − | 0.618079i | \(-0.212089\pi\) |
−0.805858 | + | 0.592108i | \(0.798296\pi\) | |||||||
\(68\) | 0.643665 | − | 1.91033i | 0.0780559 | − | 0.231662i | ||||
\(69\) | 9.26917 | + | 4.67844i | 1.11588 | + | 0.563218i | ||||
\(70\) | 4.03241 | − | 3.42516i | 0.481965 | − | 0.409385i | ||||
\(71\) | −1.24576 | + | 0.345885i | −0.147845 | + | 0.0410490i | −0.340662 | − | 0.940186i | \(-0.610651\pi\) |
0.192817 | + | 0.981235i | \(0.438238\pi\) | |||||||
\(72\) | 7.70254 | + | 4.22321i | 0.907753 | + | 0.497710i | ||||
\(73\) | −3.47260 | − | 2.35448i | −0.406437 | − | 0.275571i | 0.340791 | − | 0.940139i | \(-0.389305\pi\) |
−0.747228 | + | 0.664568i | \(0.768616\pi\) | |||||||
\(74\) | −2.12820 | + | 4.60004i | −0.247399 | + | 0.534743i | ||||
\(75\) | −2.45714 | − | 5.04299i | −0.283726 | − | 0.582315i | ||||
\(76\) | −2.51434 | − | 2.38171i | −0.288414 | − | 0.273200i | ||||
\(77\) | 0.396088 | + | 0.0430772i | 0.0451384 | + | 0.00490910i | ||||
\(78\) | −0.00554925 | + | 0.162660i | −0.000628329 | + | 0.0184177i | ||||
\(79\) | 1.45310 | + | 8.86350i | 0.163486 | + | 0.997221i | 0.933338 | + | 0.358999i | \(0.116882\pi\) |
−0.769852 | + | 0.638222i | \(0.779670\pi\) | |||||||
\(80\) | −0.563698 | + | 0.382197i | −0.0630233 | + | 0.0427309i | ||||
\(81\) | −6.01676 | + | 6.69318i | −0.668529 | + | 0.743686i | ||||
\(82\) | 0.912214 | + | 8.38767i | 0.100737 | + | 0.926263i | ||||
\(83\) | 2.68844 | + | 5.07093i | 0.295094 | + | 0.556607i | 0.986082 | − | 0.166259i | \(-0.0531689\pi\) |
−0.690988 | + | 0.722867i | \(0.742824\pi\) | |||||||
\(84\) | 6.71188 | − | 4.75007i | 0.732326 | − | 0.518275i | ||||
\(85\) | −2.04998 | + | 1.23343i | −0.222351 | + | 0.133784i | ||||
\(86\) | 5.71882 | + | 3.03193i | 0.616676 | + | 0.326941i | ||||
\(87\) | 6.16127 | − | 6.07537i | 0.660557 | − | 0.651348i | ||||
\(88\) | −0.268367 | − | 0.0590721i | −0.0286080 | − | 0.00629711i | ||||
\(89\) | −12.8332 | − | 2.82480i | −1.36031 | − | 0.299428i | −0.525891 | − | 0.850552i | \(-0.676268\pi\) |
−0.834423 | + | 0.551124i | \(0.814199\pi\) | |||||||
\(90\) | −1.33490 | − | 3.49216i | −0.140711 | − | 0.368106i | ||||
\(91\) | 0.375347 | + | 0.198997i | 0.0393471 | + | 0.0208605i | ||||
\(92\) | −5.74370 | + | 3.45587i | −0.598822 | + | 0.360299i | ||||
\(93\) | 9.00095 | + | 12.7184i | 0.933355 | + | 1.31884i | ||||
\(94\) | 4.11058 | + | 7.75337i | 0.423974 | + | 0.799699i | ||||
\(95\) | 0.444399 | + | 4.08618i | 0.0455944 | + | 0.419234i | ||||
\(96\) | −8.13514 | + | 4.52435i | −0.830289 | + | 0.461764i | ||||
\(97\) | −8.01897 | + | 5.43700i | −0.814203 | + | 0.552043i | −0.895715 | − | 0.444629i | \(-0.853336\pi\) |
0.0815118 | + | 0.996672i | \(0.474025\pi\) | |||||||
\(98\) | 1.67481 | + | 10.2159i | 0.169181 | + | 1.03196i | ||||
\(99\) | 0.121790 | − | 0.253832i | 0.0122404 | − | 0.0255111i | ||||
\(100\) | 3.60042 | + | 0.391569i | 0.360042 | + | 0.0391569i | ||||
\(101\) | 8.97094 | + | 8.49772i | 0.892642 | + | 0.845555i | 0.988713 | − | 0.149819i | \(-0.0478692\pi\) |
−0.0960718 | + | 0.995374i | \(0.530628\pi\) | |||||||
\(102\) | 2.63587 | − | 1.28429i | 0.260990 | − | 0.127164i | ||||
\(103\) | −6.10148 | + | 13.1881i | −0.601197 | + | 1.29947i | 0.333074 | + | 0.942901i | \(0.391914\pi\) |
−0.934270 | + | 0.356565i | \(0.883948\pi\) | |||||||
\(104\) | −0.242519 | − | 0.164432i | −0.0237810 | − | 0.0161239i | ||||
\(105\) | −9.72079 | − | 0.860267i | −0.948652 | − | 0.0839535i | ||||
\(106\) | −5.38129 | + | 1.49411i | −0.522677 | + | 0.145121i | ||||
\(107\) | −11.3024 | + | 9.60035i | −1.09264 | + | 0.928101i | −0.997727 | − | 0.0673843i | \(-0.978535\pi\) |
−0.0949176 | + | 0.995485i | \(0.530259\pi\) | |||||||
\(108\) | −1.58814 | − | 5.58914i | −0.152819 | − | 0.537815i | ||||
\(109\) | 2.74290 | − | 8.14063i | 0.262722 | − | 0.779731i | −0.732382 | − | 0.680894i | \(-0.761591\pi\) |
0.995104 | − | 0.0988369i | \(-0.0315122\pi\) | |||||||
\(110\) | 0.0707757 | + | 0.0931038i | 0.00674819 | + | 0.00887710i | ||||
\(111\) | 8.79776 | − | 3.16223i | 0.835047 | − | 0.300145i | ||||
\(112\) | −0.117954 | − | 2.17553i | −0.0111456 | − | 0.205569i | ||||
\(113\) | 2.25170 | − | 8.10988i | 0.211822 | − | 0.762914i | −0.778916 | − | 0.627128i | \(-0.784230\pi\) |
0.990738 | − | 0.135786i | \(-0.0433559\pi\) | |||||||
\(114\) | −0.101059 | − | 5.03642i | −0.00946508 | − | 0.471704i | ||||
\(115\) | 7.85065 | + | 1.28705i | 0.732077 | + | 0.120018i | ||||
\(116\) | 1.20088 | + | 5.45565i | 0.111499 | + | 0.506545i | ||||
\(117\) | 0.220822 | − | 0.203368i | 0.0204150 | − | 0.0188014i | ||||
\(118\) | −7.19178 | + | 0.551321i | −0.662057 | + | 0.0507532i | ||||
\(119\) | − | 7.65359i | − | 0.701603i | ||||||
\(120\) | 6.60095 | + | 1.31472i | 0.602581 | + | 0.120017i | ||||
\(121\) | 1.77818 | − | 10.8464i | 0.161652 | − | 0.986036i | ||||
\(122\) | −3.76181 | − | 8.13103i | −0.340579 | − | 0.736149i | ||||
\(123\) | 9.83481 | − | 12.0607i | 0.886775 | − | 1.08748i | ||||
\(124\) | −10.0445 | + | 0.544596i | −0.902021 | + | 0.0489061i | ||||
\(125\) | −7.51913 | − | 7.93785i | −0.672531 | − | 0.709983i | ||||
\(126\) | 11.7742 | + | 2.10042i | 1.04893 | + | 0.187121i | ||||
\(127\) | 16.8669 | + | 5.68312i | 1.49669 | + | 0.504295i | 0.944243 | − | 0.329250i | \(-0.106796\pi\) |
0.552451 | + | 0.833545i | \(0.313692\pi\) | |||||||
\(128\) | 0.273176 | − | 5.03843i | 0.0241456 | − | 0.445339i | ||||
\(129\) | −3.42420 | − | 11.4375i | −0.301484 | − | 1.00702i | ||||
\(130\) | 0.0333618 | + | 0.120158i | 0.00292602 | + | 0.0105386i | ||||
\(131\) | 2.42825 | − | 0.818172i | 0.212157 | − | 0.0714840i | −0.211216 | − | 0.977439i | \(-0.567742\pi\) |
0.423373 | + | 0.905955i | \(0.360846\pi\) | |||||||
\(132\) | 0.0968130 | + | 0.153832i | 0.00842649 | + | 0.0133893i | ||||
\(133\) | −11.9338 | − | 5.52116i | −1.03479 | − | 0.478745i | ||||
\(134\) | 0.191109 | + | 0.162330i | 0.0165093 | + | 0.0140232i | ||||
\(135\) | −2.85774 | + | 6.27582i | −0.245955 | + | 0.540137i | ||||
\(136\) | −0.570723 | + | 5.24771i | −0.0489391 | + | 0.449988i | ||||
\(137\) | 0.660946 | − | 0.263345i | 0.0564685 | − | 0.0224991i | −0.341733 | − | 0.939797i | \(-0.611014\pi\) |
0.398201 | + | 0.917298i | \(0.369635\pi\) | |||||||
\(138\) | −9.44501 | − | 2.41939i | −0.804013 | − | 0.205952i | ||||
\(139\) | −9.11717 | − | 13.4468i | −0.773308 | − | 1.14054i | −0.986536 | − | 0.163542i | \(-0.947708\pi\) |
0.213228 | − | 0.977002i | \(-0.431602\pi\) | |||||||
\(140\) | 3.81275 | − | 5.01559i | 0.322237 | − | 0.423895i | ||||
\(141\) | 4.85964 | − | 15.4399i | 0.409256 | − | 1.30027i | ||||
\(142\) | 1.07265 | − | 0.568681i | 0.0900145 | − | 0.0477227i | ||||
\(143\) | −0.00484151 | + | 0.00804666i | −0.000404868 | + | 0.000672895i | ||||
\(144\) | −1.47751 | − | 0.432660i | −0.123126 | − | 0.0360550i | ||||
\(145\) | 3.10547 | − | 5.85754i | 0.257895 | − | 0.486442i | ||||
\(146\) | 3.65995 | + | 1.45826i | 0.302899 | + | 0.120686i | ||||
\(147\) | 11.2483 | − | 15.4299i | 0.927746 | − | 1.27264i | ||||
\(148\) | −1.29747 | + | 5.89448i | −0.106652 | + | 0.484523i | ||||
\(149\) | 2.20999 | − | 5.54666i | 0.181049 | − | 0.454400i | −0.810240 | − | 0.586098i | \(-0.800664\pi\) |
0.991290 | + | 0.131698i | \(0.0420428\pi\) | |||||||
\(150\) | 3.27140 | + | 4.12883i | 0.267109 | + | 0.337118i | ||||
\(151\) | −6.29758 | − | 10.4667i | −0.512490 | − | 0.851765i | 0.487279 | − | 0.873246i | \(-0.337989\pi\) |
−0.999769 | + | 0.0214811i | \(0.993162\pi\) | |||||||
\(152\) | 7.77074 | + | 4.67550i | 0.630290 | + | 0.379233i | ||||
\(153\) | −5.10040 | − | 1.79864i | −0.412343 | − | 0.145412i | ||||
\(154\) | −0.371941 | + | 0.0404510i | −0.0299719 | + | 0.00325964i | ||||
\(155\) | 9.50409 | + | 7.22482i | 0.763387 | + | 0.580311i | ||||
\(156\) | 0.0351856 | + | 0.190589i | 0.00281710 | + | 0.0152593i | ||||
\(157\) | −0.565904 | + | 0.0927752i | −0.0451641 | + | 0.00740427i | −0.184322 | − | 0.982866i | \(-0.559009\pi\) |
0.139158 | + | 0.990270i | \(0.455561\pi\) | |||||||
\(158\) | −3.12184 | − | 7.83523i | −0.248360 | − | 0.623337i | ||||
\(159\) | 8.93147 | + | 5.13270i | 0.708312 | + | 0.407050i | ||||
\(160\) | −4.90488 | + | 5.17802i | −0.387765 | + | 0.409358i | ||||
\(161\) | −16.4760 | + | 19.3971i | −1.29849 | + | 1.52870i | ||||
\(162\) | 4.16674 | − | 7.35277i | 0.327370 | − | 0.577688i | ||||
\(163\) | −5.86049 | + | 8.64358i | −0.459029 | + | 0.677017i | −0.984816 | − | 0.173599i | \(-0.944460\pi\) |
0.525787 | + | 0.850616i | \(0.323771\pi\) | |||||||
\(164\) | 3.20802 | + | 9.52105i | 0.250504 | + | 0.743469i | ||||
\(165\) | 0.0306213 | − | 0.213531i | 0.00238386 | − | 0.0166234i | ||||
\(166\) | −3.48916 | − | 4.10776i | −0.270812 | − | 0.318824i | ||||
\(167\) | −17.2204 | − | 0.933661i | −1.33255 | − | 0.0722488i | −0.625951 | − | 0.779862i | \(-0.715289\pi\) |
−0.706600 | + | 0.707613i | \(0.749772\pi\) | |||||||
\(168\) | −14.4907 | + | 15.9258i | −1.11799 | + | 1.22870i | ||||
\(169\) | 10.3412 | − | 7.86120i | 0.795480 | − | 0.604708i | ||||
\(170\) | 1.63101 | − | 1.54498i | 0.125093 | − | 0.118494i | ||||
\(171\) | −6.48385 | + | 6.65524i | −0.495832 | + | 0.508939i | ||||
\(172\) | 7.42693 | + | 2.06208i | 0.566298 | + | 0.157232i | ||||
\(173\) | −19.1798 | + | 8.87350i | −1.45821 | + | 0.674640i | −0.979149 | − | 0.203142i | \(-0.934885\pi\) |
−0.479061 | + | 0.877782i | \(0.659023\pi\) | |||||||
\(174\) | −4.42399 | + | 6.81536i | −0.335382 | + | 0.516671i | ||||
\(175\) | 13.4288 | − | 2.95591i | 1.01512 | − | 0.223446i | ||||
\(176\) | 0.0481603 | 0.00363022 | ||||||||
\(177\) | 10.0379 | + | 8.73154i | 0.754498 | + | 0.656302i | ||||
\(178\) | 12.3393 | 0.924870 | ||||||||
\(179\) | 4.49833 | − | 0.990157i | 0.336221 | − | 0.0740078i | −0.0436513 | − | 0.999047i | \(-0.513899\pi\) |
0.379872 | + | 0.925039i | \(0.375968\pi\) | |||||||
\(180\) | −2.44640 | − | 3.71954i | −0.182344 | − | 0.277238i | ||||
\(181\) | 10.7829 | − | 4.98869i | 0.801484 | − | 0.370806i | 0.0240028 | − | 0.999712i | \(-0.492359\pi\) |
0.777482 | + | 0.628906i | \(0.216497\pi\) | |||||||
\(182\) | −0.384395 | − | 0.106727i | −0.0284933 | − | 0.00791111i | ||||
\(183\) | −5.80732 | + | 15.4709i | −0.429290 | + | 1.14364i | ||||
\(184\) | 12.7433 | − | 12.0711i | 0.939447 | − | 0.889892i | ||||
\(185\) | 5.70250 | − | 4.33493i | 0.419256 | − | 0.318710i | ||||
\(186\) | −10.8220 | − | 9.84684i | −0.793509 | − | 0.722006i | ||||
\(187\) | 0.168933 | + | 0.00915927i | 0.0123536 | + | 0.000669792i | ||||
\(188\) | 6.76523 | + | 7.96465i | 0.493405 | + | 0.580882i | ||||
\(189\) | −12.4897 | − | 18.1842i | −0.908493 | − | 1.32270i | ||||
\(190\) | −1.23241 | − | 3.65766i | −0.0894083 | − | 0.265354i | ||||
\(191\) | 12.6656 | − | 18.6803i | 0.916450 | − | 1.35166i | −0.0196053 | − | 0.999808i | \(-0.506241\pi\) |
0.936055 | − | 0.351854i | \(-0.114449\pi\) | |||||||
\(192\) | 7.87884 | − | 6.96922i | 0.568606 | − | 0.502960i | ||||
\(193\) | −4.12417 | + | 4.85534i | −0.296864 | + | 0.349495i | −0.890291 | − | 0.455393i | \(-0.849499\pi\) |
0.593427 | + | 0.804888i | \(0.297775\pi\) | |||||||
\(194\) | 6.25652 | − | 6.60492i | 0.449192 | − | 0.474206i | ||||
\(195\) | 0.114608 | − | 0.199430i | 0.00820722 | − | 0.0142815i | ||||
\(196\) | 4.56288 | + | 11.4520i | 0.325920 | + | 0.817998i | ||||
\(197\) | −16.5356 | + | 2.71088i | −1.17812 | + | 0.193142i | −0.718856 | − | 0.695159i | \(-0.755334\pi\) |
−0.459260 | + | 0.888302i | \(0.651885\pi\) | |||||||
\(198\) | −0.0604518 | + | 0.257370i | −0.00429612 | + | 0.0182905i | ||||
\(199\) | 11.9981 | + | 9.12069i | 0.850520 | + | 0.646549i | 0.936855 | − | 0.349718i | \(-0.113722\pi\) |
−0.0863350 | + | 0.996266i | \(0.527516\pi\) | |||||||
\(200\) | −9.42796 | + | 1.02535i | −0.666657 | + | 0.0725033i | ||||
\(201\) | −0.0342992 | − | 0.461228i | −0.00241928 | − | 0.0325325i | ||||
\(202\) | −9.94248 | − | 5.98219i | −0.699551 | − | 0.420906i | ||||
\(203\) | 10.9345 | + | 18.1734i | 0.767455 | + | 1.27552i | ||||
\(204\) | 2.73666 | − | 2.16834i | 0.191604 | − | 0.151814i | ||||
\(205\) | 4.41348 | − | 11.0770i | 0.308251 | − | 0.773651i | ||||
\(206\) | 2.93334 | − | 13.3263i | 0.204375 | − | 0.928486i | ||||
\(207\) | 9.05436 | + | 15.5382i | 0.629321 | + | 1.07998i | ||||
\(208\) | 0.0477057 | + | 0.0190077i | 0.00330779 | + | 0.00131795i | ||||
\(209\) | 0.136146 | − | 0.256799i | 0.00941745 | − | 0.0177632i | ||||
\(210\) | 9.08842 | − | 1.17335i | 0.627161 | − | 0.0809690i | ||||
\(211\) | −3.38843 | + | 5.63162i | −0.233269 | + | 0.387697i | −0.951277 | − | 0.308339i | \(-0.900227\pi\) |
0.718007 | + | 0.696036i | \(0.245055\pi\) | |||||||
\(212\) | −5.87578 | + | 3.11514i | −0.403550 | + | 0.213949i | ||||
\(213\) | −2.13605 | − | 0.672311i | −0.146359 | − | 0.0460660i | ||||
\(214\) | 8.42726 | − | 11.0859i | 0.576076 | − | 0.757815i | ||||
\(215\) | −5.13363 | − | 7.57154i | −0.350111 | − | 0.516374i | ||||
\(216\) | 7.20764 | + | 13.3994i | 0.490418 | + | 0.911713i | ||||
\(217\) | −35.4793 | + | 14.1363i | −2.40849 | + | 0.959632i | ||||
\(218\) | −0.872154 | + | 8.01933i | −0.0590697 | + | 0.543137i | ||||
\(219\) | −2.82464 | − | 6.69544i | −0.190871 | − | 0.452436i | ||||
\(220\) | 0.106143 | + | 0.0901588i | 0.00715617 | + | 0.00607850i | ||||
\(221\) | 0.163723 | + | 0.0757463i | 0.0110132 | + | 0.00509525i | ||||
\(222\) | −7.42993 | + | 4.67598i | −0.498664 | + | 0.313831i | ||||
\(223\) | −10.0472 | + | 3.38531i | −0.672812 | + | 0.226697i | −0.634912 | − | 0.772585i | \(-0.718964\pi\) |
−0.0379006 | + | 0.999282i | \(0.512067\pi\) | |||||||
\(224\) | −6.10412 | − | 21.9851i | −0.407849 | − | 1.46894i | ||||
\(225\) | 1.18603 | − | 9.64372i | 0.0790686 | − | 0.642915i | ||||
\(226\) | −0.427890 | + | 7.89197i | −0.0284628 | + | 0.524966i | ||||
\(227\) | −2.05366 | − | 0.691958i | −0.136306 | − | 0.0459268i | 0.250322 | − | 0.968163i | \(-0.419464\pi\) |
−0.386628 | + | 0.922236i | \(0.626360\pi\) | |||||||
\(228\) | −1.40679 | − | 5.83131i | −0.0931670 | − | 0.386188i | ||||
\(229\) | 1.12204 | + | 1.18453i | 0.0741468 | + | 0.0782758i | 0.762013 | − | 0.647562i | \(-0.224211\pi\) |
−0.687866 | + | 0.725837i | \(0.741453\pi\) | |||||||
\(230\) | −7.45951 | + | 0.404443i | −0.491865 | + | 0.0266682i | ||||
\(231\) | 0.534817 | + | 0.436113i | 0.0351884 | + | 0.0286941i | ||||
\(232\) | −6.14214 | − | 13.2760i | −0.403251 | − | 0.871613i | ||||
\(233\) | 1.92604 | − | 11.7483i | 0.126179 | − | 0.769659i | −0.845609 | − | 0.533803i | \(-0.820762\pi\) |
0.971788 | − | 0.235856i | \(-0.0757893\pi\) | |||||||
\(234\) | −0.161459 | + | 0.231082i | −0.0105549 | + | 0.0151063i | ||||
\(235\) | − | 12.4023i | − | 0.809035i | ||||||
\(236\) | −8.22266 | + | 2.48218i | −0.535249 | + | 0.161576i | ||||
\(237\) | −6.24763 | + | 14.2473i | −0.405827 | + | 0.925463i | ||||
\(238\) | 1.54499 | + | 7.01897i | 0.100147 | + | 0.454972i | ||||
\(239\) | 13.9743 | + | 2.29096i | 0.903919 | + | 0.148190i | 0.595777 | − | 0.803150i | \(-0.296844\pi\) |
0.308143 | + | 0.951340i | \(0.400293\pi\) | |||||||
\(240\) | −1.17938 | + | 0.0236651i | −0.0761284 | + | 0.00152757i | ||||
\(241\) | −2.01512 | + | 7.25780i | −0.129805 | + | 0.467516i | −0.999668 | − | 0.0257783i | \(-0.991794\pi\) |
0.869863 | + | 0.493294i | \(0.164207\pi\) | |||||||
\(242\) | 0.558775 | + | 10.3060i | 0.0359194 | + | 0.662494i | ||||
\(243\) | −15.0532 | + | 4.04983i | −0.965663 | + | 0.259796i | ||||
\(244\) | −6.45631 | − | 8.49313i | −0.413323 | − | 0.543717i | ||||
\(245\) | 4.67152 | − | 13.8646i | 0.298453 | − | 0.885775i | ||||
\(246\) | −6.58470 | + | 13.0460i | −0.419825 | + | 0.831780i | ||||
\(247\) | 0.236214 | − | 0.200642i | 0.0150299 | − | 0.0127665i | ||||
\(248\) | 25.3807 | − | 7.04691i | 1.61168 | − | 0.447479i | ||||
\(249\) | −0.876342 | + | 9.90243i | −0.0555359 | + | 0.627541i | ||||
\(250\) | 8.49804 | + | 5.76181i | 0.537463 | + | 0.364409i | ||||
\(251\) | −1.63388 | + | 3.53158i | −0.103130 | + | 0.222911i | −0.952271 | − | 0.305255i | \(-0.901258\pi\) |
0.849141 | + | 0.528167i | \(0.177120\pi\) | |||||||
\(252\) | 14.2306 | − | 0.571327i | 0.896446 | − | 0.0359902i | ||||
\(253\) | −0.408422 | − | 0.386878i | −0.0256773 | − | 0.0243228i | ||||
\(254\) | −16.6155 | − | 1.80705i | −1.04255 | − | 0.113384i | ||||
\(255\) | −4.14142 | − | 0.141287i | −0.259346 | − | 0.00884772i | ||||
\(256\) | 2.73158 | + | 16.6619i | 0.170724 | + | 1.04137i | ||||
\(257\) | 12.8597 | − | 8.71907i | 0.802164 | − | 0.543881i | −0.0898143 | − | 0.995959i | \(-0.528627\pi\) |
0.891979 | + | 0.452078i | \(0.149317\pi\) | |||||||
\(258\) | 5.44911 | + | 9.79794i | 0.339247 | + | 0.609993i | ||||
\(259\) | 2.47758 | + | 22.7810i | 0.153949 | + | 1.41554i | ||||
\(260\) | 0.0695577 | + | 0.131200i | 0.00431378 | + | 0.00813666i | ||||
\(261\) | 14.6805 | − | 3.01599i | 0.908702 | − | 0.186685i | ||||
\(262\) | −2.06174 | + | 1.24051i | −0.127375 | + | 0.0766389i | ||||
\(263\) | 24.3202 | + | 12.8938i | 1.49965 | + | 0.795065i | 0.997564 | − | 0.0697529i | \(-0.0222211\pi\) |
0.502086 | + | 0.864817i | \(0.332566\pi\) | |||||||
\(264\) | −0.334179 | − | 0.338904i | −0.0205673 | − | 0.0208581i | ||||
\(265\) | 7.70834 | + | 1.69673i | 0.473519 | + | 0.104229i | ||||
\(266\) | 12.0588 | + | 2.65434i | 0.739372 | + | 0.162748i | ||||
\(267\) | −15.9803 | − | 16.2062i | −0.977976 | − | 0.991803i | ||||
\(268\) | 0.263808 | + | 0.139862i | 0.0161147 | + | 0.00854345i | ||||
\(269\) | 23.0995 | − | 13.8985i | 1.40840 | − | 0.847407i | 0.410482 | − | 0.911869i | \(-0.365361\pi\) |
0.997920 | + | 0.0644614i | \(0.0205330\pi\) | |||||||
\(270\) | 1.35391 | − | 6.33232i | 0.0823963 | − | 0.385373i | ||||
\(271\) | −11.9970 | − | 22.6288i | −0.728767 | − | 1.37460i | −0.919552 | − | 0.392969i | \(-0.871448\pi\) |
0.190785 | − | 0.981632i | \(-0.438897\pi\) | |||||||
\(272\) | −0.100026 | − | 0.919721i | −0.00606495 | − | 0.0557663i | ||||
\(273\) | 0.357645 | + | 0.643075i | 0.0216457 | + | 0.0389207i | ||||
\(274\) | −0.552982 | + | 0.374931i | −0.0334069 | + | 0.0226504i | ||||
\(275\) | 0.0491732 | + | 0.299944i | 0.00296526 | + | 0.0180873i | ||||
\(276\) | −11.6036 | − | 0.395862i | −0.698452 | − | 0.0238281i | ||||
\(277\) | −19.7059 | − | 2.14314i | −1.18401 | − | 0.128769i | −0.505148 | − | 0.863033i | \(-0.668562\pi\) |
−0.678864 | + | 0.734264i | \(0.737528\pi\) | |||||||
\(278\) | 11.0756 | + | 10.4914i | 0.664273 | + | 0.629232i | ||||
\(279\) | 1.08261 | + | 26.9658i | 0.0648143 | + | 1.61440i | ||||
\(280\) | −6.92719 | + | 14.9729i | −0.413979 | + | 0.894801i | ||||
\(281\) | −22.1963 | − | 15.0495i | −1.32412 | − | 0.897777i | −0.325268 | − | 0.945622i | \(-0.605454\pi\) |
−0.998855 | + | 0.0478449i | \(0.984765\pi\) | |||||||
\(282\) | −1.33991 | + | 15.1407i | −0.0797907 | + | 0.901613i | ||||
\(283\) | 12.9780 | − | 3.60333i | 0.771464 | − | 0.214196i | 0.140576 | − | 0.990070i | \(-0.455104\pi\) |
0.630888 | + | 0.775874i | \(0.282691\pi\) | |||||||
\(284\) | 1.10188 | − | 0.935941i | 0.0653843 | − | 0.0555379i | ||||
\(285\) | −3.20784 | + | 6.35554i | −0.190016 | + | 0.376470i | ||||
\(286\) | 0.00281573 | − | 0.00835678i | 0.000166497 | − | 0.000494147i | ||||
\(287\) | 23.0846 | + | 30.3672i | 1.36264 | + | 1.79252i | ||||
\(288\) | −16.0855 | − | 1.09881i | −0.947847 | − | 0.0647480i | ||||
\(289\) | 0.744415 | + | 13.7299i | 0.0437891 | + | 0.807643i | ||||
\(290\) | −1.66554 | + | 5.99873i | −0.0978038 | + | 0.352258i | ||||
\(291\) | −16.7774 | + | 0.336651i | −0.983509 | + | 0.0197348i | ||||
\(292\) | 4.62969 | + | 0.758999i | 0.270932 | + | 0.0444170i | ||||
\(293\) | −5.92598 | − | 26.9220i | −0.346200 | − | 1.57280i | −0.752204 | − | 0.658930i | \(-0.771009\pi\) |
0.406005 | − | 0.913871i | \(-0.366922\pi\) | |||||||
\(294\) | −7.20088 | + | 16.4211i | −0.419964 | + | 0.957701i | ||||
\(295\) | 9.34486 | + | 4.07244i | 0.544079 | + | 0.237107i | ||||
\(296\) | − | 15.8046i | − | 0.918624i | ||||||
\(297\) | 0.416314 | − | 0.253916i | 0.0241570 | − | 0.0147337i | ||||
\(298\) | −0.907067 | + | 5.53286i | −0.0525450 | + | 0.320510i | ||||
\(299\) | −0.251875 | − | 0.544420i | −0.0145663 | − | 0.0314846i | ||||
\(300\) | 4.86146 | + | 3.96425i | 0.280677 | + | 0.228876i | ||||
\(301\) | 29.2216 | − | 1.58435i | 1.68430 | − | 0.0913203i | ||||
\(302\) | 7.88826 | + | 8.32753i | 0.453918 | + | 0.479196i | ||||
\(303\) | 5.01931 | + | 20.8056i | 0.288352 | + | 1.19525i | ||||
\(304\) | −1.50622 | − | 0.507505i | −0.0863878 | − | 0.0291074i | ||||
\(305\) | −0.685481 | + | 12.6429i | −0.0392505 | + | 0.723933i | ||||
\(306\) | 5.04057 | + | 0.619912i | 0.288150 | + | 0.0354380i | ||||
\(307\) | −2.46269 | − | 8.86980i | −0.140553 | − | 0.506226i | 0.859434 | − | 0.511246i | \(-0.170816\pi\) |
−0.999987 | + | 0.00501992i | \(0.998402\pi\) | |||||||
\(308\) | −0.422200 | + | 0.142256i | −0.0240571 | + | 0.00810577i | ||||
\(309\) | −21.3014 | + | 13.4059i | −1.21179 | + | 0.762634i | ||||
\(310\) | −10.1745 | − | 4.70721i | −0.577871 | − | 0.267352i | ||||
\(311\) | −25.8757 | − | 21.9790i | −1.46728 | − | 1.24632i | −0.909089 | − | 0.416602i | \(-0.863221\pi\) |
−0.558188 | − | 0.829714i | \(-0.688503\pi\) | |||||||
\(312\) | −0.197267 | − | 0.467597i | −0.0111681 | − | 0.0264724i | ||||
\(313\) | −0.640537 | + | 5.88964i | −0.0362053 | + | 0.332902i | 0.962002 | + | 0.273044i | \(0.0880304\pi\) |
−0.998207 | + | 0.0598584i | \(0.980935\pi\) | |||||||
\(314\) | 0.500252 | − | 0.199319i | 0.0282309 | − | 0.0112482i | ||||
\(315\) | −13.3112 | − | 10.4170i | −0.750001 | − | 0.586930i | ||||
\(316\) | −5.63632 | − | 8.31295i | −0.317068 | − | 0.467640i | ||||
\(317\) | 1.28453 | − | 1.68977i | 0.0721466 | − | 0.0949072i | −0.758604 | − | 0.651552i | \(-0.774118\pi\) |
0.830751 | + | 0.556645i | \(0.187911\pi\) | |||||||
\(318\) | −9.22701 | − | 2.90416i | −0.517425 | − | 0.162857i | ||||
\(319\) | −0.414215 | + | 0.219603i | −0.0231916 | + | 0.0122954i | ||||
\(320\) | 4.15515 | − | 6.90592i | 0.232280 | − | 0.386052i | ||||
\(321\) | −25.4739 | + | 3.28878i | −1.42181 | + | 0.183562i | ||||
\(322\) | 11.1943 | − | 21.1147i | 0.623833 | − | 1.17667i | ||||
\(323\) | −5.18688 | − | 2.06664i | −0.288606 | − | 0.114991i | ||||
\(324\) | 2.96356 | − | 9.61765i | 0.164642 | − | 0.534314i | ||||
\(325\) | −0.0696712 | + | 0.316519i | −0.00386466 | + | 0.0175573i | ||||
\(326\) | 3.62972 | − | 9.10990i | 0.201031 | − | 0.504551i | ||||
\(327\) | 11.6619 | − | 9.24012i | 0.644906 | − | 0.510980i | ||||
\(328\) | −13.5636 | − | 22.5428i | −0.748923 | − | 1.24472i | ||||
\(329\) | 33.9964 | + | 20.4550i | 1.87428 | + | 1.12772i | ||||
\(330\) | 0.0150223 | + | 0.202007i | 0.000826949 | + | 0.0111201i | ||||
\(331\) | 1.34782 | − | 0.146584i | 0.0740829 | − | 0.00805700i | −0.0710025 | − | 0.997476i | \(-0.522620\pi\) |
0.145085 | + | 0.989419i | \(0.453654\pi\) | |||||||
\(332\) | −5.10932 | − | 3.88400i | −0.280410 | − | 0.213162i | ||||
\(333\) | 15.7636 | + | 3.70260i | 0.863841 | + | 0.202901i | ||||
\(334\) | 15.9810 | − | 2.61995i | 0.874439 | − | 0.143357i | ||||
\(335\) | −0.131166 | − | 0.329202i | −0.00716637 | − | 0.0179862i | ||||
\(336\) | 1.88027 | − | 3.27188i | 0.102577 | − | 0.178495i | ||||
\(337\) | −15.0029 | + | 15.8384i | −0.817262 | + | 0.862773i | −0.992562 | − | 0.121742i | \(-0.961152\pi\) |
0.175300 | + | 0.984515i | \(0.443911\pi\) | |||||||
\(338\) | −7.89686 | + | 9.29691i | −0.429533 | + | 0.505685i | ||||
\(339\) | 10.9193 | − | 9.65867i | 0.593055 | − | 0.524587i | ||||
\(340\) | 1.50132 | − | 2.21428i | 0.0814203 | − | 0.120086i | ||||
\(341\) | −0.269561 | − | 0.800030i | −0.0145976 | − | 0.0433241i | ||||
\(342\) | 4.60276 | − | 7.41226i | 0.248889 | − | 0.400809i | ||||
\(343\) | 11.0608 | + | 13.0218i | 0.597226 | + | 0.703109i | ||||
\(344\) | −20.1540 | − | 1.09272i | −1.08663 | − | 0.0589155i | ||||
\(345\) | 10.1918 | + | 9.27338i | 0.548706 | + | 0.499262i | ||||
\(346\) | 15.7982 | − | 12.0095i | 0.849315 | − | 0.645632i | ||||
\(347\) | 14.3619 | − | 13.6043i | 0.770985 | − | 0.730316i | −0.197251 | − | 0.980353i | \(-0.563201\pi\) |
0.968236 | + | 0.250037i | \(0.0804427\pi\) | |||||||
\(348\) | −3.40029 | + | 9.05852i | −0.182275 | + | 0.485588i | ||||
\(349\) | 2.68400 | + | 0.745209i | 0.143671 | + | 0.0398901i | 0.338619 | − | 0.940923i | \(-0.390040\pi\) |
−0.194948 | + | 0.980814i | \(0.562454\pi\) | |||||||
\(350\) | −11.7187 | + | 5.42163i | −0.626388 | + | 0.289798i | ||||
\(351\) | 0.512598 | − | 0.0872102i | 0.0273605 | − | 0.00465494i | ||||
\(352\) | 0.492567 | − | 0.108422i | 0.0262539 | − | 0.00577893i | ||||
\(353\) | −8.85570 | −0.471341 | −0.235671 | − | 0.971833i | \(-0.575729\pi\) | ||||
−0.235671 | + | 0.971833i | \(0.575729\pi\) | |||||||
\(354\) | −10.9682 | − | 5.98123i | −0.582954 | − | 0.317899i | ||||
\(355\) | −1.71580 | −0.0910653 | ||||||||
\(356\) | 14.3502 | − | 3.15872i | 0.760559 | − | 0.167412i | ||||
\(357\) | 7.21770 | − | 11.1192i | 0.382001 | − | 0.588491i | ||||
\(358\) | −3.92546 | + | 1.81611i | −0.207467 | + | 0.0959844i | ||||
\(359\) | −9.34710 | − | 2.59521i | −0.493321 | − | 0.136970i | 0.0119535 | − | 0.999929i | \(-0.496195\pi\) |
−0.505275 | + | 0.862959i | \(0.668609\pi\) | |||||||
\(360\) | 8.35009 | + | 8.13505i | 0.440088 | + | 0.428755i | ||||
\(361\) | 6.82980 | − | 6.46953i | 0.359463 | − | 0.340502i | ||||
\(362\) | −8.88174 | + | 6.75172i | −0.466814 | + | 0.354863i | ||||
\(363\) | 12.8120 | − | 14.0809i | 0.672458 | − | 0.739054i | ||||
\(364\) | −0.474359 | − | 0.0257190i | −0.0248632 | − | 0.00134804i | ||||
\(365\) | −3.60459 | − | 4.24365i | −0.188673 | − | 0.222123i | ||||
\(366\) | 2.20275 | − | 15.3604i | 0.115140 | − | 0.802902i | ||||
\(367\) | 2.83647 | + | 8.41834i | 0.148062 | + | 0.439434i | 0.995861 | − | 0.0908840i | \(-0.0289693\pi\) |
−0.847799 | + | 0.530318i | \(0.822073\pi\) | |||||||
\(368\) | −1.72640 | + | 2.54625i | −0.0899947 | + | 0.132732i | ||||
\(369\) | 25.6619 | − | 8.24720i | 1.33591 | − | 0.429332i | ||||
\(370\) | −4.35459 | + | 5.12662i | −0.226384 | + | 0.266520i | ||||
\(371\) | −17.3643 | + | 18.3313i | −0.901510 | + | 0.951713i | ||||
\(372\) | −15.1063 | − | 8.68123i | −0.783225 | − | 0.450101i | ||||
\(373\) | −0.821425 | − | 2.06162i | −0.0425318 | − | 0.106747i | 0.906176 | − | 0.422900i | \(-0.138988\pi\) |
−0.948708 | + | 0.316153i | \(0.897609\pi\) | |||||||
\(374\) | −0.156774 | + | 0.0257018i | −0.00810660 | + | 0.00132901i | ||||
\(375\) | −3.43810 | − | 18.6231i | −0.177543 | − | 0.961693i | ||||
\(376\) | −21.7845 | − | 16.5601i | −1.12345 | − | 0.854024i | ||||
\(377\) | −0.496976 | + | 0.0540494i | −0.0255956 | + | 0.00278369i | ||||
\(378\) | 15.1248 | + | 14.1551i | 0.777938 | + | 0.728062i | ||||
\(379\) | −25.4783 | − | 15.3298i | −1.30873 | − | 0.787438i | −0.321528 | − | 0.946900i | \(-0.604196\pi\) |
−0.987204 | + | 0.159462i | \(0.949024\pi\) | |||||||
\(380\) | −2.36957 | − | 3.93825i | −0.121556 | − | 0.202028i | ||||
\(381\) | 19.1449 | + | 24.1628i | 0.980825 | + | 1.23790i | ||||
\(382\) | −7.84448 | + | 19.6882i | −0.401358 | + | 1.00733i | ||||
\(383\) | −0.692641 | + | 3.14670i | −0.0353923 | + | 0.160789i | −0.991002 | − | 0.133846i | \(-0.957267\pi\) |
0.955610 | + | 0.294635i | \(0.0951982\pi\) | |||||||
\(384\) | 5.14836 | − | 7.06227i | 0.262726 | − | 0.360395i | ||||
\(385\) | 0.491197 | + | 0.195711i | 0.0250337 | + | 0.00997434i | ||||
\(386\) | 2.80208 | − | 5.28527i | 0.142622 | − | 0.269013i | ||||
\(387\) | 5.81144 | − | 19.8458i | 0.295412 | − | 1.00882i | ||||
\(388\) | 5.58533 | − | 9.28289i | 0.283552 | − | 0.471268i | ||||
\(389\) | −10.0947 | + | 5.35186i | −0.511820 | + | 0.271350i | −0.704239 | − | 0.709963i | \(-0.748712\pi\) |
0.192419 | + | 0.981313i | \(0.438367\pi\) | |||||||
\(390\) | −0.0648467 | + | 0.206029i | −0.00328364 | + | 0.0104327i | ||||
\(391\) | −6.53997 | + | 8.60318i | −0.330740 | + | 0.435081i | ||||
\(392\) | −18.1154 | − | 26.7182i | −0.914965 | − | 1.34947i | ||||
\(393\) | 4.29936 | + | 1.10131i | 0.216874 | + | 0.0555535i | ||||
\(394\) | 14.6173 | − | 5.82407i | 0.736410 | − | 0.293412i | ||||
\(395\) | −1.28876 | + | 11.8499i | −0.0648445 | + | 0.596235i | ||||
\(396\) | −0.00441968 | + | 0.314788i | −0.000222097 | + | 0.0158187i | ||||
\(397\) | 9.66815 | + | 8.21220i | 0.485230 | + | 0.412158i | 0.856326 | − | 0.516436i | \(-0.172742\pi\) |
−0.371095 | + | 0.928595i | \(0.621018\pi\) | |||||||
\(398\) | −12.8444 | − | 5.94243i | −0.643830 | − | 0.297867i | ||||
\(399\) | −12.1308 | − | 19.2753i | −0.607300 | − | 0.964974i | ||||
\(400\) | 1.57509 | − | 0.530711i | 0.0787547 | − | 0.0265355i | ||||
\(401\) | 4.55613 | + | 16.4097i | 0.227522 | + | 0.819461i | 0.985856 | + | 0.167595i | \(0.0536000\pi\) |
−0.758334 | + | 0.651867i | \(0.773986\pi\) | |||||||
\(402\) | 0.124561 | + | 0.416060i | 0.00621254 | + | 0.0207512i | ||||
\(403\) | 0.0487351 | − | 0.898867i | 0.00242767 | − | 0.0447757i | ||||
\(404\) | −13.0941 | − | 4.41193i | −0.651458 | − | 0.219502i | ||||
\(405\) | −10.0702 | + | 6.42260i | −0.500390 | + | 0.319142i | ||||
\(406\) | −13.6964 | − | 14.4592i | −0.679743 | − | 0.717596i | ||||
\(407\) | −0.505795 | + | 0.0274234i | −0.0250713 | + | 0.00135933i | ||||
\(408\) | −5.77800 | + | 7.08572i | −0.286054 | + | 0.350795i | ||||
\(409\) | 11.0761 | + | 23.9407i | 0.547680 | + | 1.18379i | 0.961847 | + | 0.273589i | \(0.0882109\pi\) |
−0.414167 | + | 0.910201i | \(0.635927\pi\) | |||||||
\(410\) | −1.81147 | + | 11.0495i | −0.0894619 | + | 0.545693i | ||||
\(411\) | 1.20858 | + | 0.240714i | 0.0596147 | + | 0.0118735i | ||||
\(412\) | − | 16.2489i | − | 0.800526i | ||||||
\(413\) | −26.5756 | + | 18.8990i | −1.30770 | + | 0.929959i | ||||
\(414\) | −11.4402 | − | 12.4220i | −0.562256 | − | 0.610509i | ||||
\(415\) | 1.63742 | + | 7.43886i | 0.0803777 | + | 0.365159i | ||||
\(416\) | 0.530709 | + | 0.0870053i | 0.0260202 | + | 0.00426579i | ||||
\(417\) | −0.564522 | − | 28.1336i | −0.0276448 | − | 1.37771i | ||||
\(418\) | −0.0730187 | + | 0.262989i | −0.00357146 | + | 0.0128632i | ||||
\(419\) | 0.705877 | + | 13.0191i | 0.0344843 | + | 0.636026i | 0.963781 | + | 0.266693i | \(0.0859310\pi\) |
−0.929297 | + | 0.369333i | \(0.879586\pi\) | |||||||
\(420\) | 10.2692 | − | 3.69110i | 0.501084 | − | 0.180107i | ||||
\(421\) | 2.75813 | + | 3.62826i | 0.134423 | + | 0.176831i | 0.858380 | − | 0.513015i | \(-0.171471\pi\) |
−0.723957 | + | 0.689846i | \(0.757678\pi\) | |||||||
\(422\) | 1.97065 | − | 5.84867i | 0.0959295 | − | 0.284709i | ||||
\(423\) | 21.6207 | − | 17.8484i | 1.05124 | − | 0.867818i | ||||
\(424\) | 13.2729 | − | 11.2741i | 0.644587 | − | 0.547517i | ||||
\(425\) | 5.62591 | − | 1.56203i | 0.272897 | − | 0.0757694i | ||||
\(426\) | 2.09465 | + | 0.185371i | 0.101486 | + | 0.00898127i | ||||
\(427\) | −33.5256 | − | 22.7309i | −1.62242 | − | 1.10003i | ||||
\(428\) | 6.96276 | − | 15.0498i | 0.336558 | − | 0.727458i | ||||
\(429\) | −0.0146222 | + | 0.00712449i | −0.000705966 | + | 0.000343974i | ||||
\(430\) | 6.23639 | + | 5.90742i | 0.300745 | + | 0.284881i | ||||
\(431\) | 33.8921 | + | 3.68598i | 1.63252 | + | 0.177548i | 0.877978 | − | 0.478701i | \(-0.158892\pi\) |
0.754545 | + | 0.656249i | \(0.227858\pi\) | |||||||
\(432\) | −1.73852 | − | 2.02194i | −0.0836447 | − | 0.0972804i | ||||
\(433\) | 2.80186 | + | 17.0906i | 0.134649 | + | 0.821322i | 0.964645 | + | 0.263553i | \(0.0848942\pi\) |
−0.829996 | + | 0.557769i | \(0.811657\pi\) | |||||||
\(434\) | 29.6839 | − | 20.1262i | 1.42487 | − | 0.966086i | ||||
\(435\) | 10.0356 | − | 5.58129i | 0.481170 | − | 0.267602i | ||||
\(436\) | 1.03857 | + | 9.54946i | 0.0497383 | + | 0.457336i | ||||
\(437\) | 8.69661 | + | 16.4036i | 0.416016 | + | 0.784688i | ||||
\(438\) | 3.94200 | + | 5.57008i | 0.188356 | + | 0.266149i | ||||
\(439\) | 4.91354 | − | 2.95638i | 0.234511 | − | 0.141100i | −0.393449 | − | 0.919347i | \(-0.628718\pi\) |
0.627959 | + | 0.778246i | \(0.283890\pi\) | |||||||
\(440\) | −0.322197 | − | 0.170818i | −0.0153601 | − | 0.00814343i | ||||
\(441\) | 30.8928 | − | 11.8090i | 1.47109 | − | 0.562335i | ||||
\(442\) | −0.165438 | − | 0.0364157i | −0.00786909 | − | 0.00173212i | ||||
\(443\) | −23.8737 | − | 5.25500i | −1.13427 | − | 0.249673i | −0.392128 | − | 0.919911i | \(-0.628261\pi\) |
−0.742146 | + | 0.670238i | \(0.766192\pi\) | |||||||
\(444\) | −7.44376 | + | 7.33998i | −0.353265 | + | 0.348340i | ||||
\(445\) | −15.4073 | − | 8.16843i | −0.730375 | − | 0.387221i | ||||
\(446\) | 8.53076 | − | 5.13279i | 0.403943 | − | 0.243045i | ||||
\(447\) | 8.44146 | − | 5.97412i | 0.399268 | − | 0.282566i | ||||
\(448\) | 12.0771 | + | 22.7798i | 0.570588 | + | 1.07624i | ||||
\(449\) | 0.104544 | + | 0.961269i | 0.00493375 | + | 0.0453651i | 0.996346 | − | 0.0854083i | \(-0.0272195\pi\) |
−0.991412 | + | 0.130773i | \(0.958254\pi\) | |||||||
\(450\) | 0.859044 | + | 9.08350i | 0.0404957 | + | 0.428200i | ||||
\(451\) | −0.697903 | + | 0.473190i | −0.0328630 | + | 0.0222816i | ||||
\(452\) | 1.52263 | + | 9.28763i | 0.0716184 | + | 0.436853i | ||||
\(453\) | 0.721374 | − | 21.1450i | 0.0338931 | − | 0.993479i | ||||
\(454\) | 2.02305 | + | 0.220020i | 0.0949467 | + | 0.0103261i | ||||
\(455\) | 0.409317 | + | 0.387726i | 0.0191891 | + | 0.0181769i | ||||
\(456\) | 6.88019 | + | 14.1208i | 0.322195 | + | 0.661267i | ||||
\(457\) | 5.42158 | − | 11.7185i | 0.253611 | − | 0.548170i | −0.738394 | − | 0.674369i | \(-0.764416\pi\) |
0.992005 | + | 0.126199i | \(0.0402777\pi\) | |||||||
\(458\) | −1.26812 | − | 0.859808i | −0.0592555 | − | 0.0401762i | ||||
\(459\) | −5.71371 | − | 7.42301i | −0.266693 | − | 0.346476i | ||||
\(460\) | −8.57162 | + | 2.37990i | −0.399654 | + | 0.110963i | ||||
\(461\) | 2.53588 | − | 2.15400i | 0.118108 | − | 0.100322i | −0.586386 | − | 0.810032i | \(-0.699450\pi\) |
0.704494 | + | 0.709710i | \(0.251174\pi\) | |||||||
\(462\) | −0.578508 | − | 0.291991i | −0.0269146 | − | 0.0135846i | ||||
\(463\) | 1.89105 | − | 5.61245i | 0.0878847 | − | 0.260833i | −0.894694 | − | 0.446680i | \(-0.852606\pi\) |
0.982579 | + | 0.185847i | \(0.0595029\pi\) | |||||||
\(464\) | 1.55150 | + | 2.04096i | 0.0720265 | + | 0.0947493i | ||||
\(465\) | 6.99429 | + | 19.4591i | 0.324352 | + | 0.902395i | ||||
\(466\) | 0.605240 | + | 11.1630i | 0.0280372 | + | 0.517115i | ||||
\(467\) | 2.46876 | − | 8.89168i | 0.114241 | − | 0.411458i | −0.884211 | − | 0.467088i | \(-0.845303\pi\) |
0.998451 | + | 0.0556303i | \(0.0177168\pi\) | |||||||
\(468\) | −0.128617 | + | 0.310072i | −0.00594531 | + | 0.0143331i | ||||
\(469\) | 1.11872 | + | 0.183405i | 0.0516578 | + | 0.00846887i | ||||
\(470\) | 2.50358 | + | 11.3739i | 0.115482 | + | 0.524639i | ||||
\(471\) | −0.909643 | − | 0.398890i | −0.0419141 | − | 0.0183799i | ||||
\(472\) | 19.6310 | − | 10.9765i | 0.903588 | − | 0.505232i | ||||
\(473\) | 0.646885i | 0.0297438i | ||||||||
\(474\) | 2.85356 | − | 14.3271i | 0.131068 | − | 0.658068i | ||||
\(475\) | 1.62285 | − | 9.89896i | 0.0744616 | − | 0.454196i | ||||
\(476\) | 3.59355 | + | 7.76732i | 0.164710 | + | 0.356015i | ||||
\(477\) | 8.13535 | + | 15.8797i | 0.372492 | + | 0.727080i | ||||
\(478\) | −13.2780 | + | 0.719913i | −0.607322 | + | 0.0329280i | ||||
\(479\) | −3.41300 | − | 3.60306i | −0.155944 | − | 0.164628i | 0.643342 | − | 0.765579i | \(-0.277547\pi\) |
−0.799286 | + | 0.600951i | \(0.794789\pi\) | |||||||
\(480\) | −12.0090 | + | 2.89714i | −0.548132 | + | 0.132236i | ||||
\(481\) | −0.511843 | − | 0.172460i | −0.0233380 | − | 0.00786350i | ||||
\(482\) | 0.382933 | − | 7.06278i | 0.0174421 | − | 0.321701i | ||||
\(483\) | −42.2289 | + | 12.6426i | −1.92148 | + | 0.575258i | ||||
\(484\) | 3.28805 | + | 11.8425i | 0.149457 | + | 0.538294i | ||||
\(485\) | −12.1845 | + | 4.10542i | −0.553268 | + | 0.186418i | ||||
\(486\) | 12.9875 | − | 6.75274i | 0.589125 | − | 0.306311i | ||||
\(487\) | −10.0061 | − | 4.62933i | −0.453421 | − | 0.209775i | 0.179867 | − | 0.983691i | \(-0.442433\pi\) |
−0.633288 | + | 0.773916i | \(0.718295\pi\) | |||||||
\(488\) | 21.2920 | + | 18.0855i | 0.963842 | + | 0.818694i | ||||
\(489\) | −16.6655 | + | 7.03076i | −0.753640 | + | 0.317942i | ||||
\(490\) | −1.48539 | + | 13.6580i | −0.0671033 | + | 0.617005i | ||||
\(491\) | −40.6658 | + | 16.2027i | −1.83522 | + | 0.731219i | −0.859887 | + | 0.510485i | \(0.829466\pi\) |
−0.975334 | + | 0.220734i | \(0.929155\pi\) | |||||||
\(492\) | −4.31817 | + | 16.8576i | −0.194678 | + | 0.759999i | ||||
\(493\) | 5.05406 | + | 7.45418i | 0.227623 | + | 0.335719i | ||||
\(494\) | −0.176125 | + | 0.231688i | −0.00792423 | + | 0.0104241i | ||||
\(495\) | 0.245857 | − | 0.281343i | 0.0110505 | − | 0.0126454i | ||||
\(496\) | −4.07875 | + | 2.16242i | −0.183141 | + | 0.0970954i | ||||
\(497\) | 2.82986 | − | 4.70327i | 0.126937 | − | 0.210970i | ||||
\(498\) | −1.19528 | − | 9.25825i | −0.0535617 | − | 0.414872i | ||||
\(499\) | −3.64056 | + | 6.86682i | −0.162974 | + | 0.307401i | −0.951527 | − | 0.307565i | \(-0.900486\pi\) |
0.788553 | + | 0.614967i | \(0.210831\pi\) | |||||||
\(500\) | 11.3579 | + | 4.52539i | 0.507940 | + | 0.202382i | ||||
\(501\) | −24.1374 | − | 17.5961i | −1.07838 | − | 0.786134i | ||||
\(502\) | 0.785503 | − | 3.56858i | 0.0350587 | − | 0.159273i | ||||
\(503\) | −2.59959 | + | 6.52448i | −0.115910 | + | 0.290912i | −0.975474 | − | 0.220117i | \(-0.929356\pi\) |
0.859564 | + | 0.511029i | \(0.170735\pi\) | |||||||
\(504\) | −36.0711 | + | 9.47173i | −1.60674 | + | 0.421904i | ||||
\(505\) | 8.45441 | + | 14.0513i | 0.376216 | + | 0.625276i | ||||
\(506\) | 0.452654 | + | 0.272353i | 0.0201229 | + | 0.0121076i | ||||
\(507\) | 22.4374 | − | 1.66856i | 0.996478 | − | 0.0741032i | ||||
\(508\) | −19.7859 | + | 2.15185i | −0.877857 | + | 0.0954727i | ||||
\(509\) | 18.5644 | + | 14.1123i | 0.822851 | + | 0.625515i | 0.929517 | − | 0.368780i | \(-0.120224\pi\) |
−0.106666 | + | 0.994295i | \(0.534017\pi\) | |||||||
\(510\) | 3.82654 | − | 0.706436i | 0.169442 | − | 0.0312815i | ||||
\(511\) | 17.5775 | − | 2.88169i | 0.777584 | − | 0.127478i | ||||
\(512\) | −2.13324 | − | 5.35402i | −0.0942766 | − | 0.236616i | ||||
\(513\) | −15.6960 | + | 3.55422i | −0.692996 | + | 0.156923i | ||||
\(514\) | −10.0333 | + | 10.5920i | −0.442550 | + | 0.467194i | ||||
\(515\) | −12.4845 | + | 14.6978i | −0.550131 | + | 0.647664i | ||||
\(516\) | 8.84528 | + | 9.99976i | 0.389392 | + | 0.440215i | ||||
\(517\) | −0.492174 | + | 0.725903i | −0.0216458 | + | 0.0319252i | ||||
\(518\) | −6.87083 | − | 20.3919i | −0.301887 | − | 0.895968i | ||||
\(519\) | −36.2327 | − | 5.19592i | −1.59044 | − | 0.228076i | ||||
\(520\) | −0.251738 | − | 0.296369i | −0.0110394 | − | 0.0129966i | ||||
\(521\) | 11.6067 | + | 0.629297i | 0.508499 | + | 0.0275700i | 0.306604 | − | 0.951837i | \(-0.400807\pi\) |
0.201895 | + | 0.979407i | \(0.435290\pi\) | |||||||
\(522\) | −12.8544 | + | 5.72940i | −0.562623 | + | 0.250769i | ||||
\(523\) | 24.9484 | − | 18.9653i | 1.09092 | − | 0.829293i | 0.104659 | − | 0.994508i | \(-0.466625\pi\) |
0.986258 | + | 0.165215i | \(0.0528319\pi\) | |||||||
\(524\) | −2.08018 | + | 1.97045i | −0.0908731 | + | 0.0860796i | ||||
\(525\) | 22.2971 | + | 8.36966i | 0.973126 | + | 0.365282i | ||||
\(526\) | −24.9065 | − | 6.91525i | −1.08597 | − | 0.301519i | ||||
\(527\) | −14.7184 | + | 6.80944i | −0.641142 | + | 0.296624i | ||||
\(528\) | 0.0699678 | + | 0.0454175i | 0.00304496 | + | 0.00197654i | ||||
\(529\) | 12.6327 | − | 2.78067i | 0.549248 | − | 0.120899i | ||||
\(530\) | −7.41169 | −0.321943 | ||||||||
\(531\) | 6.34897 | + | 22.1515i | 0.275522 | + | 0.961295i | ||||
\(532\) | 14.7034 | 0.637475 | ||||||||
\(533\) | −0.878071 | + | 0.193278i | −0.0380335 | + | 0.00837180i | ||||
\(534\) | 17.9267 | + | 11.6366i | 0.775763 | + | 0.503563i | ||||
\(535\) | −17.8612 | + | 8.26349i | −0.772209 | + | 0.357262i | ||||
\(536\) | −0.753381 | − | 0.209175i | −0.0325411 | − | 0.00903499i | ||||
\(537\) | 7.46898 | + | 2.80363i | 0.322310 | + | 0.120986i | ||||
\(538\) | −18.3785 | + | 17.4091i | −0.792355 | + | 0.750558i | ||||
\(539\) | −0.823629 | + | 0.626106i | −0.0354762 | + | 0.0269683i | ||||
\(540\) | −0.0464490 | − | 7.71086i | −0.00199885 | − | 0.331823i | ||||
\(541\) | 13.9661 | + | 0.757220i | 0.600450 | + | 0.0325554i | 0.351859 | − | 0.936053i | \(-0.385550\pi\) |
0.248591 | + | 0.968609i | \(0.420033\pi\) | |||||||
\(542\) | 15.5702 | + | 18.3307i | 0.668798 | + | 0.787370i | ||||
\(543\) | 20.3700 | + | 2.92115i | 0.874162 | + | 0.125359i | ||||
\(544\) | −3.09358 | − | 9.18140i | −0.132636 | − | 0.393649i | ||||
\(545\) | 6.39767 | − | 9.43586i | 0.274046 | − | 0.404188i | ||||
\(546\) | −0.457805 | − | 0.517557i | −0.0195922 | − | 0.0221494i | ||||
\(547\) | −8.42752 | + | 9.92164i | −0.360335 | + | 0.424219i | −0.912220 | − | 0.409701i | \(-0.865633\pi\) |
0.551885 | + | 0.833920i | \(0.313909\pi\) | |||||||
\(548\) | −0.547121 | + | 0.577589i | −0.0233719 | + | 0.0246734i | ||||
\(549\) | −23.0268 | + | 16.9998i | −0.982759 | + | 0.725532i | ||||
\(550\) | −0.105644 | − | 0.265147i | −0.00450468 | − | 0.0113059i | ||||
\(551\) | 15.2688 | − | 2.50319i | 0.650471 | − | 0.106639i | ||||
\(552\) | 29.8972 | − | 5.51946i | 1.27251 | − | 0.234924i | ||||
\(553\) | −30.3569 | − | 23.0767i | −1.29091 | − | 0.981322i | ||||
\(554\) | 18.5046 | − | 2.01249i | 0.786183 | − | 0.0855026i | ||||
\(555\) | 12.3727 | − | 0.920096i | 0.525192 | − | 0.0390559i | ||||
\(556\) | 15.5663 | + | 9.36591i | 0.660157 | + | 0.397203i | ||||
\(557\) | −7.13923 | − | 11.8655i | −0.302499 | − | 0.502757i | 0.667904 | − | 0.744247i | \(-0.267192\pi\) |
−0.970403 | + | 0.241490i | \(0.922364\pi\) | |||||||
\(558\) | −6.43629 | − | 24.5113i | −0.272470 | − | 1.03765i | ||||
\(559\) | −0.255309 | + | 0.640778i | −0.0107984 | + | 0.0271020i | ||||
\(560\) | 0.621566 | − | 2.82380i | 0.0262660 | − | 0.119327i | ||||
\(561\) | 0.236790 | + | 0.172618i | 0.00999727 | + | 0.00728796i | ||||
\(562\) | 23.3938 | + | 9.32096i | 0.986809 | + | 0.393181i | ||||
\(563\) | −17.7705 | + | 33.5187i | −0.748938 | + | 1.41265i | 0.156286 | + | 0.987712i | \(0.450048\pi\) |
−0.905224 | + | 0.424935i | \(0.860297\pi\) | |||||||
\(564\) | 2.31756 | + | 17.9511i | 0.0975867 | + | 0.755876i | ||||
\(565\) | 5.75864 | − | 9.57093i | 0.242268 | − | 0.402652i | ||||
\(566\) | −11.1745 | + | 5.92437i | −0.469701 | + | 0.249020i | ||||
\(567\) | −0.996653 | − | 38.1966i | −0.0418555 | − | 1.60410i | ||||
\(568\) | −2.29103 | + | 3.01379i | −0.0961293 | + | 0.126456i | ||||
\(569\) | −2.21275 | − | 3.26356i | −0.0927633 | − | 0.136816i | 0.778476 | − | 0.627675i | \(-0.215993\pi\) |
−0.871239 | + | 0.490859i | \(0.836683\pi\) | |||||||
\(570\) | 1.65889 | − | 6.47611i | 0.0694834 | − | 0.271254i | ||||
\(571\) | −19.1251 | + | 7.62012i | −0.800359 | + | 0.318892i | −0.734214 | − | 0.678918i | \(-0.762449\pi\) |
−0.0661446 | + | 0.997810i | \(0.521070\pi\) | |||||||
\(572\) | 0.00113536 | − | 0.0104394i | 4.74717e−5 | − | 0.000436495i | ||||
\(573\) | 36.0172 | − | 15.1947i | 1.50464 | − | 0.634769i | ||||
\(574\) | −27.3005 | − | 23.1893i | −1.13950 | − | 0.967902i | ||||
\(575\) | −17.6208 | − | 8.15225i | −0.734838 | − | 0.339972i | ||||
\(576\) | 18.0188 | − | 2.69484i | 0.750782 | − | 0.112285i | ||||
\(577\) | 21.8756 | − | 7.37076i | 0.910695 | − | 0.306849i | 0.175322 | − | 0.984511i | \(-0.443903\pi\) |
0.735373 | + | 0.677662i | \(0.237007\pi\) | |||||||
\(578\) | −3.45428 | − | 12.4412i | −0.143679 | − | 0.517486i | ||||
\(579\) | −10.5705 | + | 3.16461i | −0.439293 | + | 0.131517i | ||||
\(580\) | −0.401361 | + | 7.40268i | −0.0166656 | + | 0.307379i | ||||
\(581\) | −23.0916 | − | 7.78047i | −0.958001 | − | 0.322788i | ||||
\(582\) | 15.3183 | − | 3.69551i | 0.634964 | − | 0.153184i | ||||
\(583\) | −0.383834 | − | 0.405209i | −0.0158968 | − | 0.0167820i | ||||
\(584\) | −12.2670 | + | 0.665097i | −0.507611 | + | 0.0275219i | ||||
\(585\) | 0.354575 | − | 0.181653i | 0.0146599 | − | 0.00751045i | ||||
\(586\) | 10.8692 | + | 23.4935i | 0.449004 | + | 0.970506i | ||||
\(587\) | −2.16026 | + | 13.1770i | −0.0891637 | + | 0.543874i | 0.904037 | + | 0.427455i | \(0.140590\pi\) |
−0.993200 | + | 0.116419i | \(0.962858\pi\) | |||||||
\(588\) | −4.17076 | + | 20.9406i | −0.171999 | + | 0.863575i | ||||
\(589\) | 27.8617i | 1.14802i | ||||||||
\(590\) | −9.39209 | − | 1.84836i | −0.386666 | − | 0.0760959i | ||||
\(591\) | −26.5797 | − | 11.6555i | −1.09334 | − | 0.479444i | ||||
\(592\) | 0.595454 | + | 2.70518i | 0.0244730 | + | 0.111182i | ||||
\(593\) | 19.5498 | + | 3.20503i | 0.802814 | + | 0.131615i | 0.549200 | − | 0.835691i | \(-0.314932\pi\) |
0.253614 | + | 0.967306i | \(0.418381\pi\) | |||||||
\(594\) | −0.330538 | + | 0.316901i | −0.0135621 | + | 0.0130026i | ||||
\(595\) | 2.71732 | − | 9.78689i | 0.111399 | − | 0.401223i | ||||
\(596\) | 0.361459 | + | 6.66673i | 0.0148060 | + | 0.273080i | ||||
\(597\) | 8.82966 | + | 24.5654i | 0.361374 | + | 1.00539i | ||||
\(598\) | 0.340890 | + | 0.448433i | 0.0139400 | + | 0.0183378i | ||||
\(599\) | −13.2389 | + | 39.2916i | −0.540926 | + | 1.60541i | 0.233234 | + | 0.972421i | \(0.425069\pi\) |
−0.774160 | + | 0.632990i | \(0.781828\pi\) | |||||||
\(600\) | −14.6640 | − | 7.40138i | −0.598655 | − | 0.302160i | ||||
\(601\) | 17.0930 | − | 14.5189i | 0.697236 | − | 0.592238i | −0.227075 | − | 0.973877i | \(-0.572916\pi\) |
0.924311 | + | 0.381639i | \(0.124640\pi\) | |||||||
\(602\) | −26.4788 | + | 7.35179i | −1.07919 | + | 0.299637i | ||||
\(603\) | 0.385130 | − | 0.702423i | 0.0156837 | − | 0.0286049i | ||||
\(604\) | 11.3055 | + | 7.66533i | 0.460015 | + | 0.311898i | ||||
\(605\) | 6.12470 | − | 13.2383i | 0.249004 | − | 0.538214i | ||||
\(606\) | −8.80305 | − | 18.0672i | −0.357599 | − | 0.733931i | ||||
\(607\) | 13.0337 | + | 12.3461i | 0.529020 | + | 0.501115i | 0.904941 | − | 0.425537i | \(-0.139915\pi\) |
−0.375921 | + | 0.926652i | \(0.622673\pi\) | |||||||
\(608\) | −16.5477 | − | 1.79967i | −0.671096 | − | 0.0729861i | ||||
\(609\) | −1.25253 | + | 36.7143i | −0.0507550 | + | 1.48774i | ||||
\(610\) | −1.92353 | − | 11.7330i | −0.0778813 | − | 0.475055i | ||||
\(611\) | −0.774024 | + | 0.524801i | −0.0313137 | + | 0.0212312i | ||||
\(612\) | 6.02070 | − | 0.569389i | 0.243372 | − | 0.0230162i | ||||
\(613\) | −2.34187 | − | 21.5332i | −0.0945874 | − | 0.869717i | −0.941278 | − | 0.337632i | \(-0.890374\pi\) |
0.846691 | − | 0.532085i | \(-0.178591\pi\) | |||||||
\(614\) | 4.04899 | + | 7.63720i | 0.163404 | + | 0.308212i | ||||
\(615\) | 16.8581 | − | 11.9307i | 0.679784 | − | 0.481091i | ||||
\(616\) | 0.999635 | − | 0.601460i | 0.0402764 | − | 0.0242335i | ||||
\(617\) | 4.10830 | + | 2.17808i | 0.165394 | + | 0.0876863i | 0.549049 | − | 0.835790i | \(-0.314990\pi\) |
−0.383655 | + | 0.923476i | \(0.625335\pi\) | |||||||
\(618\) | 16.8289 | − | 16.5943i | 0.676958 | − | 0.667520i | ||||
\(619\) | −44.6551 | − | 9.82933i | −1.79484 | − | 0.395074i | −0.812618 | − | 0.582796i | \(-0.801959\pi\) |
−0.982222 | + | 0.187722i | \(0.939890\pi\) | |||||||
\(620\) | −13.0375 | − | 2.86978i | −0.523601 | − | 0.115253i | ||||
\(621\) | −1.49898 | + | 31.1127i | −0.0601518 | + | 1.24851i | ||||
\(622\) | 28.1670 | + | 14.9332i | 1.12939 | + | 0.598766i | ||||
\(623\) | 47.8020 | − | 28.7615i | 1.91515 | − | 1.15231i | ||||
\(624\) | 0.0513822 | + | 0.0726033i | 0.00205693 | + | 0.00290646i | ||||
\(625\) | 0.788674 | + | 1.48760i | 0.0315470 | + | 0.0595039i | ||||
\(626\) | −0.601488 | − | 5.53059i | −0.0240403 | − | 0.221047i | ||||
\(627\) | 0.439969 | − | 0.244688i | 0.0175707 | − | 0.00977191i | ||||
\(628\) | 0.530753 | − | 0.359860i | 0.0211794 | − | 0.0143600i | ||||
\(629\) | 1.57421 | + | 9.60223i | 0.0627677 | + | 0.382866i | ||||
\(630\) | 14.3103 | + | 6.86616i | 0.570135 | + | 0.273554i | ||||
\(631\) | 9.32325 | + | 1.01396i | 0.371153 | + | 0.0403653i | 0.291795 | − | 0.956481i | \(-0.405747\pi\) |
0.0793579 | + | 0.996846i | \(0.474713\pi\) | |||||||
\(632\) | 19.0935 | + | 18.0863i | 0.759500 | + | 0.719436i | ||||
\(633\) | −10.2336 | + | 4.98622i | −0.406751 | + | 0.198185i | ||||
\(634\) | −0.836916 | + | 1.80896i | −0.0332382 | + | 0.0718432i | ||||
\(635\) | 19.5505 | + | 13.2556i | 0.775838 | + | 0.526031i | ||||
\(636\) | −11.4741 | − | 1.01543i | −0.454979 | − | 0.0402646i | ||||
\(637\) | −1.06296 | + | 0.295130i | −0.0421161 | + | 0.0116935i | ||||
\(638\) | 0.335539 | − | 0.285009i | 0.0132841 | − | 0.0112836i | ||||
\(639\) | −2.46925 | − | 2.99114i | −0.0976820 | − | 0.118327i | ||||
\(640\) | 2.13815 | − | 6.34582i | 0.0845180 | − | 0.250840i | ||||
\(641\) | 7.62493 | + | 10.0304i | 0.301167 | + | 0.396178i | 0.921638 | − | 0.388051i | \(-0.126852\pi\) |
−0.620471 | + | 0.784229i | \(0.713059\pi\) | |||||||
\(642\) | 22.6977 | − | 8.15836i | 0.895808 | − | 0.321985i | ||||
\(643\) | −1.90797 | − | 35.1905i | −0.0752430 | − | 1.38778i | −0.755666 | − | 0.654957i | \(-0.772687\pi\) |
0.680423 | − | 0.732819i | \(-0.261796\pi\) | |||||||
\(644\) | 7.61347 | − | 27.4212i | 0.300013 | − | 1.08055i | ||||
\(645\) | −0.317867 | − | 15.8413i | −0.0125160 | − | 0.623749i | ||||
\(646\) | 5.17398 | + | 0.848231i | 0.203568 | + | 0.0333732i | ||||
\(647\) | 1.98512 | + | 9.01848i | 0.0780430 | + | 0.354553i | 0.999418 | − | 0.0341226i | \(-0.0108637\pi\) |
−0.921375 | + | 0.388676i | \(0.872933\pi\) | |||||||
\(648\) | −2.16493 | + | 26.2639i | −0.0850466 | + | 1.03175i | ||||
\(649\) | −0.385342 | − | 0.609203i | −0.0151260 | − | 0.0239133i | ||||
\(650\) | − | 0.304339i | − | 0.0119371i | ||||||
\(651\) | −64.8759 | − | 12.9214i | −2.54269 | − | 0.506430i | ||||
\(652\) | 1.88921 | − | 11.5237i | 0.0739871 | − | 0.451302i | ||||
\(653\) | −19.6599 | − | 42.4942i | −0.769353 | − | 1.66293i | −0.748490 | − | 0.663146i | \(-0.769221\pi\) |
−0.0208626 | − | 0.999782i | \(-0.506641\pi\) | |||||||
\(654\) | −8.82969 | + | 10.8281i | −0.345268 | + | 0.423412i | ||||
\(655\) | 3.39556 | − | 0.184102i | 0.132676 | − | 0.00719346i | ||||
\(656\) | 3.17091 | + | 3.34749i | 0.123803 | + | 0.130698i | ||||
\(657\) | 2.21046 | − | 12.3910i | 0.0862382 | − | 0.483418i | ||||
\(658\) | −35.3067 | − | 11.8962i | −1.37640 | − | 0.463763i | ||||
\(659\) | 0.943464 | − | 17.4012i | 0.0367522 | − | 0.677854i | −0.920878 | − | 0.389852i | \(-0.872526\pi\) |
0.957630 | − | 0.288002i | \(-0.0929910\pi\) | |||||||
\(660\) | 0.0691818 | + | 0.231082i | 0.00269290 | + | 0.00899485i | ||||
\(661\) | 9.13180 | + | 32.8898i | 0.355186 | + | 1.27926i | 0.898217 | + | 0.439552i | \(0.144863\pi\) |
−0.543031 | + | 0.839712i | \(0.682724\pi\) | |||||||
\(662\) | −1.20647 | + | 0.406508i | −0.0468908 | + | 0.0157994i | ||||
\(663\) | 0.166426 | + | 0.264444i | 0.00646346 | + | 0.0102701i | ||||
\(664\) | 15.2527 | + | 7.05664i | 0.591919 | + | 0.273851i | ||||
\(665\) | −13.2999 | − | 11.2970i | −0.515748 | − | 0.438080i | ||||
\(666\) | −15.2040 | − | 0.213467i | −0.589142 | − | 0.00827167i | ||||
\(667\) | 3.23787 | − | 29.7717i | 0.125371 | − | 1.15276i | ||||
\(668\) | 17.9146 | − | 7.13784i | 0.693138 | − | 0.276171i | ||||
\(669\) | −17.7892 | − | 4.55682i | −0.687772 | − | 0.176177i | ||||
\(670\) | 0.186745 | + | 0.275428i | 0.00721457 | + | 0.0106407i | ||||
\(671\) | 0.541847 | − | 0.712787i | 0.0209178 | − | 0.0275168i | ||||
\(672\) | 11.8648 | − | 37.6966i | 0.457696 | − | 1.45418i | ||||
\(673\) | 34.7214 | − | 18.4081i | 1.33841 | − | 0.709581i | 0.363379 | − | 0.931642i | \(-0.381623\pi\) |
0.975033 | + | 0.222061i | \(0.0712783\pi\) | |||||||
\(674\) | 10.5617 | − | 17.5537i | 0.406822 | − | 0.676143i | ||||
\(675\) | 10.8176 | − | 12.8920i | 0.416368 | − | 0.496214i | ||||
\(676\) | −6.80388 | + | 12.8335i | −0.261688 | + | 0.493596i | ||||
\(677\) | 5.27169 | + | 2.10043i | 0.202608 | + | 0.0807262i | 0.469235 | − | 0.883074i | \(-0.344530\pi\) |
−0.266627 | + | 0.963800i | \(0.585909\pi\) | |||||||
\(678\) | −8.06415 | + | 11.0620i | −0.309702 | + | 0.424834i | ||||
\(679\) | 8.84219 | − | 40.1705i | 0.339332 | − | 1.54160i | ||||
\(680\) | −2.59294 | + | 6.50779i | −0.0994348 | + | 0.249562i | ||||
\(681\) | −2.33103 | − | 2.94198i | −0.0893251 | − | 0.112737i | ||||
\(682\) | 0.408708 | + | 0.679278i | 0.0156502 | + | 0.0260109i | ||||
\(683\) | −9.34686 | − | 5.62382i | −0.357648 | − | 0.215189i | 0.325378 | − | 0.945584i | \(-0.394509\pi\) |
−0.683025 | + | 0.730395i | \(0.739336\pi\) | |||||||
\(684\) | 3.45541 | − | 9.79846i | 0.132121 | − | 0.374654i | ||||
\(685\) | 0.938671 | − | 0.102087i | 0.0358648 | − | 0.00390053i | ||||
\(686\) | −12.7723 | − | 9.70924i | −0.487648 | − | 0.370700i | ||||
\(687\) | 0.513051 | + | 2.77904i | 0.0195741 | + | 0.106027i | ||||
\(688\) | 3.49081 | − | 0.572289i | 0.133086 | − | 0.0218183i | ||||
\(689\) | −0.220285 | − | 0.552874i | −0.00839219 | − | 0.0210628i | ||||
\(690\) | −11.2187 | − | 6.44710i | −0.427087 | − | 0.245437i | ||||
\(691\) | 22.2302 | − | 23.4682i | 0.845678 | − | 0.892771i | −0.149708 | − | 0.988730i | \(-0.547833\pi\) |
0.995385 | + | 0.0959593i | \(0.0305919\pi\) | |||||||
\(692\) | 15.2984 | − | 18.0107i | 0.581560 | − | 0.684665i | ||||
\(693\) | 0.365712 | + | 1.13795i | 0.0138923 | + | 0.0432271i | ||||
\(694\) | −10.4248 | + | 15.3754i | −0.395719 | + | 0.583643i | ||||
\(695\) | −6.88428 | − | 20.4318i | −0.261136 | − | 0.775023i | ||||
\(696\) | 3.59656 | − | 25.0799i | 0.136327 | − | 0.950651i | ||||
\(697\) | 10.4860 | + | 12.3451i | 0.397187 | + | 0.467604i | ||||
\(698\) | −2.61188 | − | 0.141612i | −0.0988611 | − | 0.00536009i | ||||
\(699\) | 13.8774 | − | 15.2518i | 0.524892 | − | 0.576874i | ||||
\(700\) | −12.2405 | + | 9.30500i | −0.462648 | + | 0.351696i | ||||
\(701\) | 32.0906 | − | 30.3978i | 1.21204 | − | 1.14811i | 0.227350 | − | 0.973813i | \(-0.426994\pi\) |
0.984693 | − | 0.174296i | \(-0.0557648\pi\) | |||||||
\(702\) | −0.452490 | + | 0.183455i | −0.0170781 | + | 0.00692405i | ||||
\(703\) | 16.1078 | + | 4.47231i | 0.607517 | + | 0.168676i | ||||
\(704\) | −0.517256 | + | 0.239308i | −0.0194948 | + | 0.00901927i | ||||
\(705\) | 11.6959 | − | 18.0181i | 0.440494 | − | 0.678603i | ||||
\(706\) | 8.12140 | − | 1.78766i | 0.305653 | − | 0.0672793i | ||||
\(707\) | −52.4606 | −1.97298 | ||||||||
\(708\) | −14.2868 | − | 4.14823i | −0.536930 | − | 0.155900i | ||||
\(709\) | −14.6592 | −0.550538 | −0.275269 | − | 0.961367i | \(-0.588767\pi\) | ||||
−0.275269 | + | 0.961367i | \(0.588767\pi\) | |||||||
\(710\) | 1.57353 | − | 0.346360i | 0.0590536 | − | 0.0129987i | ||||
\(711\) | −22.5125 | + | 14.8068i | −0.844286 | + | 0.555300i | ||||
\(712\) | −34.9204 | + | 16.1559i | −1.30870 | + | 0.605467i | ||||
\(713\) | 51.9607 | + | 14.4268i | 1.94594 | + | 0.540289i | ||||
\(714\) | −4.37465 | + | 11.6542i | −0.163717 | + | 0.436149i | ||||
\(715\) | −0.00904787 | + | 0.00857060i | −0.000338371 | + | 0.000320522i | ||||
\(716\) | −4.10027 | + | 3.11694i | −0.153234 | + | 0.116486i | ||||
\(717\) | 18.1415 | + | 16.5067i | 0.677505 | + | 0.616455i | ||||
\(718\) | 9.09594 | + | 0.493168i | 0.339458 | + | 0.0184049i | ||||
\(719\) | 21.4416 | + | 25.2430i | 0.799637 | + | 0.941406i | 0.999260 | − | 0.0384670i | \(-0.0122474\pi\) |
−0.199623 | + | 0.979873i | \(0.563972\pi\) | |||||||
\(720\) | −1.73573 | − | 1.07783i | −0.0646868 | − | 0.0401683i | ||||
\(721\) | −19.6984 | − | 58.4628i | −0.733607 | − | 2.17727i | ||||
\(722\) | −4.95752 | + | 7.31179i | −0.184500 | + | 0.272117i | ||||
\(723\) | −9.77204 | + | 8.64385i | −0.363426 | + | 0.321468i | ||||
\(724\) | −8.60080 | + | 10.1256i | −0.319646 | + | 0.376316i | ||||
\(725\) | −11.1270 | + | 11.7467i | −0.413247 | + | 0.436260i | ||||
\(726\) | −8.90726 | + | 15.4996i | −0.330579 | + | 0.575245i | ||||
\(727\) | 8.95776 | + | 22.4823i | 0.332225 | + | 0.833822i | 0.996283 | + | 0.0861407i | \(0.0274534\pi\) |
−0.664058 | + | 0.747681i | \(0.731167\pi\) | |||||||
\(728\) | 1.22758 | − | 0.201251i | 0.0454971 | − | 0.00745888i | ||||
\(729\) | −25.6886 | − | 8.31227i | −0.951431 | − | 0.307862i | ||||
\(730\) | 4.16235 | + | 3.16414i | 0.154056 | + | 0.117110i | ||||
\(731\) | 12.3536 | − | 1.34354i | 0.456914 | − | 0.0496924i | ||||
\(732\) | −1.37036 | − | 18.4275i | −0.0506501 | − | 0.681101i | ||||
\(733\) | −10.0276 | − | 6.03341i | −0.370378 | − | 0.222849i | 0.318180 | − | 0.948030i | \(-0.396928\pi\) |
−0.688558 | + | 0.725181i | \(0.741756\pi\) | |||||||
\(734\) | −4.30064 | − | 7.14772i | −0.158740 | − | 0.263827i | ||||
\(735\) | 19.8618 | − | 15.7371i | 0.732614 | − | 0.580473i | ||||
\(736\) | −11.9247 | + | 29.9287i | −0.439550 | + | 1.10319i | ||||
\(737\) | −0.00538700 | + | 0.0244734i | −0.000198433 | + | 0.000901488i | ||||
\(738\) | −21.8693 | + | 12.7436i | −0.805020 | + | 0.469099i | ||||
\(739\) | −40.8747 | − | 16.2860i | −1.50360 | − | 0.599089i | −0.534371 | − | 0.845250i | \(-0.679451\pi\) |
−0.969229 | + | 0.246161i | \(0.920831\pi\) | |||||||
\(740\) | −3.75188 | + | 7.07681i | −0.137922 | + | 0.260149i | ||||
\(741\) | 0.532388 | − | 0.0687335i | 0.0195578 | − | 0.00252499i | ||||
\(742\) | 12.2241 | − | 20.3165i | 0.448759 | − | 0.745844i | ||||
\(743\) | −38.1603 | + | 20.2313i | −1.39997 | + | 0.742215i | −0.985790 | − | 0.167983i | \(-0.946275\pi\) |
−0.414175 | + | 0.910197i | \(0.635930\pi\) | |||||||
\(744\) | 43.5189 | + | 13.6974i | 1.59548 | + | 0.502170i | ||||
\(745\) | 4.79526 | − | 6.30806i | 0.175685 | − | 0.231109i | ||||
\(746\) | 1.16948 | + | 1.72486i | 0.0428179 | + | 0.0631516i | ||||
\(747\) | −10.6116 | + | 13.5599i | −0.388259 | + | 0.496132i | ||||
\(748\) | −0.175744 | + | 0.0700227i | −0.00642582 | + | 0.00256028i | ||||
\(749\) | 6.80699 | − | 62.5892i | 0.248722 | − | 2.28696i | ||||
\(750\) | 6.91237 | + | 16.3849i | 0.252404 | + | 0.598291i | ||||
\(751\) | −12.6185 | − | 10.7182i | −0.460455 | − | 0.391114i | 0.386916 | − | 0.922115i | \(-0.373540\pi\) |
−0.847371 | + | 0.531001i | \(0.821816\pi\) | |||||||
\(752\) | 4.35263 | + | 2.01374i | 0.158724 | + | 0.0734336i | ||||
\(753\) | −5.70418 | + | 3.58989i | −0.207872 | + | 0.130823i | ||||
\(754\) | 0.444857 | − | 0.149890i | 0.0162007 | − | 0.00545867i | ||||
\(755\) | −4.33686 | − | 15.6199i | −0.157834 | − | 0.568468i | ||||
\(756\) | 21.2132 | + | 12.5902i | 0.771517 | + | 0.457900i | ||||
\(757\) | −1.53014 | + | 28.2217i | −0.0556138 | + | 1.02574i | 0.828952 | + | 0.559320i | \(0.188938\pi\) |
−0.884566 | + | 0.466416i | \(0.845545\pi\) | |||||||
\(758\) | 26.4602 | + | 8.91549i | 0.961079 | + | 0.323825i | ||||
\(759\) | −0.228515 | − | 0.947222i | −0.00829458 | − | 0.0343820i | ||||
\(760\) | 8.27671 | + | 8.73762i | 0.300228 | + | 0.316947i | ||||
\(761\) | −36.6006 | + | 1.98443i | −1.32677 | + | 0.0719354i | −0.703850 | − | 0.710349i | \(-0.748537\pi\) |
−0.622921 | + | 0.782284i | \(0.714054\pi\) | |||||||
\(762\) | −22.4351 | − | 18.2946i | −0.812738 | − | 0.662742i | ||||
\(763\) | 15.3134 | + | 33.0995i | 0.554384 | + | 1.19828i | ||||
\(764\) | −4.08292 | + | 24.9047i | −0.147715 | + | 0.901022i | ||||
\(765\) | −5.88346 | − | 4.11082i | −0.212717 | − | 0.148627i | ||||
\(766\) | − | 3.02560i | − | 0.109320i | ||||||
\(767\) | −0.141267 | − | 0.755537i | −0.00510085 | − | 0.0272809i | ||||
\(768\) | −11.7445 | + | 26.7826i | −0.423794 | + | 0.966435i | ||||
\(769\) | 1.15812 | + | 5.26140i | 0.0417629 | + | 0.189731i | 0.992884 | − | 0.119088i | \(-0.0379972\pi\) |
−0.951121 | + | 0.308819i | \(0.900066\pi\) | |||||||
\(770\) | −0.489975 | − | 0.0803273i | −0.0176575 | − | 0.00289479i | ||||
\(771\) | 26.9052 | − | 0.539873i | 0.968966 | − | 0.0194430i | ||||
\(772\) | 1.90575 | − | 6.86389i | 0.0685894 | − | 0.247037i | ||||
\(773\) | −1.86261 | − | 34.3539i | −0.0669935 | − | 1.23562i | −0.817957 | − | 0.575279i | \(-0.804893\pi\) |
0.750964 | − | 0.660343i | \(-0.229589\pi\) | |||||||
\(774\) | −1.32340 | + | 19.3733i | −0.0475688 | + | 0.696360i | ||||
\(775\) | −17.6321 | − | 23.1947i | −0.633365 | − | 0.833177i | ||||
\(776\) | −9.05817 | + | 26.8837i | −0.325169 | + | 0.965068i | ||||
\(777\) | −17.8841 | + | 35.4329i | −0.641588 | + | 1.27115i | ||||
\(778\) | 8.17730 | − | 6.94586i | 0.293170 | − | 0.249021i | ||||
\(779\) | 26.8134 | − | 7.44471i | 0.960690 | − | 0.266734i | ||||
\(780\) | −0.0226735 | + | 0.256205i | −0.000811842 | + | 0.00917360i | ||||
\(781\) | 0.100426 | + | 0.0680902i | 0.00359351 | + | 0.00243646i | ||||
\(782\) | 4.26101 | − | 9.21002i | 0.152373 | − | 0.329349i | ||||
\(783\) | 24.1723 | + | 9.46279i | 0.863846 | + | 0.338172i | ||||
\(784\) | 4.10733 | + | 3.89067i | 0.146690 | + | 0.138952i | ||||
\(785\) | −0.756578 | − | 0.0822829i | −0.0270034 | − | 0.00293680i | ||||
\(786\) | −4.16518 | − | 0.142098i | −0.148567 | − | 0.00506845i | ||||
\(787\) | 1.78515 | + | 10.8889i | 0.0636337 | + | 0.388148i | 0.999371 | + | 0.0354515i | \(0.0112869\pi\) |
−0.935738 | + | 0.352697i | \(0.885265\pi\) | |||||||
\(788\) | 15.5085 | − | 10.5151i | 0.552469 | − | 0.374583i | ||||
\(789\) | 23.1733 | + | 41.6674i | 0.824990 | + | 1.48340i | ||||
\(790\) | −1.21019 | − | 11.1275i | −0.0430567 | − | 0.395900i | ||||
\(791\) | 16.7377 | + | 31.5706i | 0.595122 | + | 1.12252i | ||||
\(792\) | −0.165896 | − | 0.807510i | −0.00589486 | − | 0.0286936i | ||||
\(793\) | 0.818051 | − | 0.492205i | 0.0290498 | − | 0.0174787i | ||||
\(794\) | −10.5242 | − | 5.57960i | −0.373491 | − | 0.198013i | ||||
\(795\) | 9.59865 | + | 9.73437i | 0.340429 | + | 0.345242i | ||||
\(796\) | −16.4587 | − | 3.62284i | −0.583365 | − | 0.128408i | ||||
\(797\) | −14.3694 | − | 3.16295i | −0.508991 | − | 0.112037i | −0.0469521 | − | 0.998897i | \(-0.514951\pi\) |
−0.462039 | + | 0.886860i | \(0.652882\pi\) | |||||||
\(798\) | 15.0160 | + | 15.2283i | 0.531560 | + | 0.539075i | ||||
\(799\) | 14.8848 | + | 7.89143i | 0.526587 | + | 0.279179i | ||||
\(800\) | 14.9147 | − | 8.97390i | 0.527316 | − | 0.317275i | ||||
\(801\) | −7.93306 | − | 38.6147i | −0.280301 | − | 1.36438i | ||||
\(802\) | −7.49089 | − | 14.1293i | −0.264513 | − | 0.498924i | ||||
\(803\) | 0.0425701 | + | 0.391426i | 0.00150227 | + | 0.0138131i | ||||
\(804\) | 0.251367 | + | 0.451977i | 0.00886502 | + | 0.0159400i | ||||
\(805\) | −27.9551 | + | 18.9541i | −0.985289 | + | 0.668043i | ||||
\(806\) | 0.136756 | + | 0.834173i | 0.00481701 | + | 0.0293825i | ||||
\(807\) | 46.6662 | + | 1.59204i | 1.64273 | + | 0.0560426i | ||||
\(808\) | 35.9698 | + | 3.91196i | 1.26541 | + | 0.137622i | ||||
\(809\) | −3.00536 | − | 2.84682i | −0.105663 | − | 0.100089i | 0.633045 | − | 0.774115i | \(-0.281805\pi\) |
−0.738707 | + | 0.674026i | \(0.764564\pi\) | |||||||
\(810\) | 7.93866 | − | 7.92287i | 0.278936 | − | 0.278381i | ||||
\(811\) | −4.56836 | + | 9.87436i | −0.160417 | + | 0.346736i | −0.971071 | − | 0.238789i | \(-0.923249\pi\) |
0.810654 | + | 0.585525i | \(0.199112\pi\) | |||||||
\(812\) | −19.6299 | − | 13.3094i | −0.688873 | − | 0.467068i | ||||
\(813\) | 3.91063 | − | 44.1891i | 0.137152 | − | 1.54978i | ||||
\(814\) | 0.458319 | − | 0.127252i | 0.0160641 | − | 0.00446017i | ||||
\(815\) | −10.5628 | + | 8.97212i | −0.369999 | + | 0.314280i | ||||
\(816\) | 0.722023 | − | 1.43051i | 0.0252759 | − | 0.0500778i | ||||
\(817\) | 6.81677 | − | 20.2314i | 0.238488 | − | 0.707808i | ||||
\(818\) | −14.9905 | − | 19.7197i | −0.524131 | − | 0.689483i | ||||
\(819\) | −0.0868600 | + | 1.27154i | −0.00303513 | + | 0.0444313i | ||||
\(820\) | 0.721856 | + | 13.3138i | 0.0252083 | + | 0.464940i | ||||
\(821\) | −5.14156 | + | 18.5182i | −0.179442 | + | 0.646291i | 0.818027 | + | 0.575180i | \(0.195068\pi\) |
−0.997468 | + | 0.0711106i | \(0.977346\pi\) | |||||||
\(822\) | −1.15696 | + | 0.0232152i | −0.0403535 | + | 0.000809723i | ||||
\(823\) | 38.9675 | + | 6.38840i | 1.35832 | + | 0.222686i | 0.796534 | − | 0.604594i | \(-0.206665\pi\) |
0.561790 | + | 0.827280i | \(0.310113\pi\) | |||||||
\(824\) | 9.14676 | + | 41.5542i | 0.318643 | + | 1.44761i | ||||
\(825\) | −0.211422 | + | 0.482134i | −0.00736076 | + | 0.0167858i | ||||
\(826\) | 20.5570 | − | 22.6966i | 0.715268 | − | 0.789717i | ||||
\(827\) | − | 11.0009i | − | 0.382538i | −0.981538 | − | 0.191269i | \(-0.938740\pi\) | ||
0.981538 | − | 0.191269i | \(-0.0612603\pi\) | |||||||
\(828\) | −16.4845 | − | 11.5178i | −0.572875 | − | 0.400272i | ||||
\(829\) | −7.10470 | + | 43.3368i | −0.246757 | + | 1.50515i | 0.514947 | + | 0.857222i | \(0.327812\pi\) |
−0.761703 | + | 0.647926i | \(0.775637\pi\) | |||||||
\(830\) | −3.00329 | − | 6.49151i | −0.104246 | − | 0.225324i | ||||
\(831\) | −26.6078 | − | 21.6972i | −0.923016 | − | 0.752667i | ||||
\(832\) | −0.606823 | + | 0.0329010i | −0.0210378 | + | 0.00114064i | ||||
\(833\) | 13.6674 | + | 14.4285i | 0.473548 | + | 0.499918i | ||||
\(834\) | 6.19691 | + | 25.6869i | 0.214581 | + | 0.889464i | ||||
\(835\) | −21.6887 | − | 7.30779i | −0.750570 | − | 0.252896i | ||||
\(836\) | −0.0175960 | + | 0.324540i | −0.000608571 | + | 0.0112244i | ||||
\(837\) | −23.8572 | + | 40.1971i | −0.824625 | + | 1.38942i | ||||
\(838\) | −3.27546 | − | 11.7971i | −0.113149 | − | 0.407525i | ||||
\(839\) | −20.9639 | + | 7.06356i | −0.723755 | + | 0.243861i | −0.656981 | − | 0.753907i | \(-0.728167\pi\) |
−0.0667733 | + | 0.997768i | \(0.521270\pi\) | |||||||
\(840\) | −24.1841 | + | 15.2201i | −0.834429 | + | 0.525143i | ||||
\(841\) | 3.66921 | + | 1.69756i | 0.126525 | + | 0.0585365i | ||||
\(842\) | −3.26185 | − | 2.77064i | −0.112411 | − | 0.0954827i | ||||
\(843\) | −18.0547 | − | 42.7963i | −0.621836 | − | 1.47398i | ||||
\(844\) | 0.794604 | − | 7.30626i | 0.0273514 | − | 0.251492i | ||||
\(845\) | 16.0147 | − | 6.38084i | 0.550923 | − | 0.219508i | ||||
\(846\) | −16.2250 | + | 20.7329i | −0.557827 | + | 0.712812i | ||||
\(847\) | 26.1868 | + | 38.6226i | 0.899788 | + | 1.32709i | ||||
\(848\) | −1.84707 | + | 2.42978i | −0.0634287 | + | 0.0834390i | ||||
\(849\) | 22.2528 | + | 7.00396i | 0.763713 | + | 0.240375i | ||||
\(850\) | −4.84410 | + | 2.56818i | −0.166151 | + | 0.0880879i | ||||
\(851\) | 16.6813 | − | 27.7245i | 0.571827 | − | 0.950384i | ||||
\(852\) | 2.48345 | − | 0.320624i | 0.0850818 | − | 0.0109844i | ||||
\(853\) | −10.5299 | + | 19.8615i | −0.360537 | + | 0.680046i | −0.995731 | − | 0.0923076i | \(-0.970576\pi\) |
0.635193 | + | 0.772353i | \(0.280921\pi\) | |||||||
\(854\) | 35.3344 | + | 14.0785i | 1.20912 | + | 0.481756i | ||||
\(855\) | −10.6540 | + | 6.20825i | −0.364358 | + | 0.212318i | ||||
\(856\) | −9.33448 | + | 42.4070i | −0.319046 | + | 1.44944i | ||||
\(857\) | −7.67326 | + | 19.2584i | −0.262114 | + | 0.657856i | −0.999852 | − | 0.0172315i | \(-0.994515\pi\) |
0.737738 | + | 0.675087i | \(0.235894\pi\) | |||||||
\(858\) | 0.0119716 | − | 0.00948546i | 0.000408703 | − | 0.000323828i | ||||
\(859\) | 14.0723 | + | 23.3884i | 0.480142 | + | 0.798002i | 0.998360 | − | 0.0572461i | \(-0.0182320\pi\) |
−0.518218 | + | 0.855249i | \(0.673404\pi\) | |||||||
\(860\) | 8.76494 | + | 5.27369i | 0.298882 | + | 0.179831i | ||||
\(861\) | 4.89975 | + | 65.8877i | 0.166983 | + | 2.24545i | ||||
\(862\) | −31.8259 | + | 3.46127i | −1.08399 | + | 0.117891i | ||||
\(863\) | −5.83009 | − | 4.43192i | −0.198459 | − | 0.150864i | 0.501225 | − | 0.865317i | \(-0.332883\pi\) |
−0.699684 | + | 0.714452i | \(0.746676\pi\) | |||||||
\(864\) | −22.3330 | − | 16.7658i | −0.759783 | − | 0.570383i | ||||
\(865\) | −27.6762 | + | 4.53728i | −0.941019 | + | 0.154272i | ||||
\(866\) | −6.01953 | − | 15.1079i | −0.204552 | − | 0.513387i | ||||
\(867\) | −11.8665 | + | 20.6490i | −0.403007 | + | 0.701277i | ||||
\(868\) | 29.3693 | − | 31.0047i | 0.996857 | − | 1.05237i | ||||
\(869\) | 0.545687 | − | 0.642432i | 0.0185112 | − | 0.0217930i | ||||
\(870\) | −8.07681 | + | 7.14434i | −0.273829 | + | 0.242216i | ||||
\(871\) | −0.0149952 | + | 0.0221162i | −0.000508092 | + | 0.000749380i | ||||
\(872\) | −8.03152 | − | 23.8367i | −0.271982 | − | 0.807212i | ||||
\(873\) | −24.6919 | − | 15.3328i | −0.835693 | − | 0.518937i | ||||
\(874\) | −11.2868 | − | 13.2879i | −0.381782 | − | 0.449469i | ||||
\(875\) | 46.3512 | + | 2.51309i | 1.56696 | + | 0.0849579i | ||||
\(876\) | 6.01029 | + | 5.46870i | 0.203069 | + | 0.184770i | ||||
\(877\) | −28.7709 | + | 21.8711i | −0.971526 | + | 0.738535i | −0.965218 | − | 0.261445i | \(-0.915801\pi\) |
−0.00630743 | + | 0.999980i | \(0.502008\pi\) | |||||||
\(878\) | −3.90933 | + | 3.70312i | −0.131934 | + | 0.124974i | ||||
\(879\) | 16.7794 | − | 44.7011i | 0.565956 | − | 1.50773i | ||||
\(880\) | 0.0615842 | + | 0.0170988i | 0.00207600 | + | 0.000576399i | ||||
\(881\) | 30.6357 | − | 14.1736i | 1.03214 | − | 0.477520i | 0.170672 | − | 0.985328i | \(-0.445406\pi\) |
0.861470 | + | 0.507808i | \(0.169544\pi\) | |||||||
\(882\) | −25.9475 | + | 17.0660i | −0.873696 | + | 0.574644i | ||||
\(883\) | −9.38012 | + | 2.06472i | −0.315666 | + | 0.0694833i | −0.369978 | − | 0.929041i | \(-0.620635\pi\) |
0.0543115 | + | 0.998524i | \(0.482704\pi\) | |||||||
\(884\) | −0.201721 | −0.00678460 | ||||||||
\(885\) | 9.73581 | + | 14.7291i | 0.327266 | + | 0.495115i | ||||
\(886\) | 22.9550 | 0.771187 | ||||||||
\(887\) | 15.9655 | − | 3.51426i | 0.536068 | − | 0.117997i | 0.0613181 | − | 0.998118i | \(-0.480470\pi\) |
0.474750 | + | 0.880121i | \(0.342539\pi\) | |||||||
\(888\) | 14.9045 | − | 22.9611i | 0.500163 | − | 0.770524i | ||||
\(889\) | −68.5800 | + | 31.7285i | −2.30010 | + | 1.06414i | ||||
\(890\) | 15.7787 | + | 4.38093i | 0.528902 | + | 0.146849i | ||||
\(891\) | 0.844281 | + | 0.0237124i | 0.0282845 | + | 0.000794396i | ||||
\(892\) | 8.60705 | − | 8.15303i | 0.288185 | − | 0.272984i | ||||
\(893\) | 23.0423 | − | 17.5163i | 0.771080 | − | 0.586160i | ||||
\(894\) | −6.53555 | + | 7.18279i | −0.218582 | + | 0.240229i | ||||
\(895\) | 6.10370 | + | 0.330933i | 0.204024 | + | 0.0110619i | ||||
\(896\) | 13.8684 | + | 16.3271i | 0.463310 | + | 0.545451i | ||||
\(897\) | 0.147487 | − | 1.02847i | 0.00492444 | − | 0.0343396i | ||||
\(898\) | −0.289922 | − | 0.860459i | −0.00967484 | − | 0.0287139i | ||||
\(899\) | 25.2201 | − | 37.1968i | 0.841136 | − | 1.24058i | ||||
\(900\) | 3.32431 | + | 10.3439i | 0.110810 | + | 0.344796i | ||||
\(901\) | −6.94110 | + | 8.17170i | −0.231242 | + | 0.272239i | ||||
\(902\) | 0.544514 | − | 0.574836i | 0.0181303 | − | 0.0191400i | ||||
\(903\) | 43.9475 | + | 25.2556i | 1.46248 | + | 0.840454i | ||||
\(904\) | −9.12204 | − | 22.8946i | −0.303395 | − | 0.761463i | ||||
\(905\) | 15.5596 | − | 2.55086i | 0.517218 | − | 0.0847936i | ||||
\(906\) | 3.60688 | + | 19.5373i | 0.119831 | + | 0.649085i | ||||
\(907\) | −36.1615 | − | 27.4892i | −1.20072 | − | 0.912765i | −0.202931 | − | 0.979193i | \(-0.565047\pi\) |
−0.997791 | + | 0.0664280i | \(0.978840\pi\) | |||||||
\(908\) | 2.40907 | − | 0.262002i | 0.0799477 | − | 0.00869483i | ||||
\(909\) | −12.3286 | + | 34.9601i | −0.408914 | + | 1.15955i | ||||
\(910\) | −0.453646 | − | 0.272950i | −0.0150382 | − | 0.00904820i | ||||
\(911\) | −20.4198 | − | 33.9379i | −0.676538 | − | 1.12441i | −0.984896 | − | 0.173144i | \(-0.944607\pi\) |
0.308359 | − | 0.951270i | \(-0.400220\pi\) | |||||||
\(912\) | −1.70965 | − | 2.15775i | −0.0566123 | − | 0.0714502i | ||||
\(913\) | 0.199368 | − | 0.500375i | 0.00659811 | − | 0.0165600i | ||||
\(914\) | −2.60647 | + | 11.8413i | −0.0862143 | + | 0.391675i | ||||
\(915\) | −12.9188 | + | 17.7214i | −0.427082 | + | 0.585850i | ||||
\(916\) | −1.69488 | − | 0.675303i | −0.0560005 | − | 0.0223126i | ||||
\(917\) | −5.09563 | + | 9.61137i | −0.168272 | + | 0.317396i | ||||
\(918\) | 6.73839 | + | 5.65411i | 0.222400 | + | 0.186614i | ||||
\(919\) | −22.1830 | + | 36.8684i | −0.731749 | + | 1.21618i | 0.237809 | + | 0.971312i | \(0.423571\pi\) |
−0.969557 | + | 0.244864i | \(0.921257\pi\) | |||||||
\(920\) | 20.5809 | − | 10.9113i | 0.678534 | − | 0.359736i | ||||
\(921\) | 4.78683 | − | 15.2086i | 0.157731 | − | 0.501139i | ||||
\(922\) | −1.89080 | + | 2.48730i | −0.0622701 | + | 0.0819149i | ||||
\(923\) | 0.0726040 | + | 0.107083i | 0.00238979 | + | 0.00352468i | ||||
\(924\) | −0.747531 | − | 0.191484i | −0.0245919 | − | 0.00629937i | ||||
\(925\) | −16.2399 | + | 6.47057i | −0.533965 | + | 0.212751i | ||||
\(926\) | −0.601295 | + | 5.52882i | −0.0197598 | + | 0.181688i | ||||
\(927\) | −43.5892 | − | 0.612002i | −1.43166 | − | 0.0201008i | ||||
\(928\) | 20.4630 | + | 17.3814i | 0.671730 | + | 0.570573i | ||||
\(929\) | 2.04332 | + | 0.945338i | 0.0670390 | + | 0.0310155i | 0.453122 | − | 0.891448i | \(-0.350310\pi\) |
−0.386083 | + | 0.922464i | \(0.626172\pi\) | |||||||
\(930\) | −10.3425 | − | 16.4337i | −0.339142 | − | 0.538882i | ||||
\(931\) | 32.3569 | − | 10.9023i | 1.06046 | − | 0.357309i | ||||
\(932\) | 3.56147 | + | 12.8272i | 0.116660 | + | 0.420170i | ||||
\(933\) | −16.8652 | − | 56.3334i | −0.552143 | − | 1.84427i | ||||
\(934\) | −0.469139 | + | 8.65276i | −0.0153507 | + | 0.283127i | ||||
\(935\) | 0.212768 | + | 0.0716898i | 0.00695825 | + | 0.00234451i | ||||
\(936\) | 0.154374 | − | 0.865362i | 0.00504588 | − | 0.0282852i | ||||
\(937\) | −19.6448 | − | 20.7387i | −0.641766 | − | 0.677505i | 0.321235 | − | 0.946999i | \(-0.395902\pi\) |
−0.963002 | + | 0.269495i | \(0.913143\pi\) | |||||||
\(938\) | −1.06298 | + | 0.0576334i | −0.0347077 | + | 0.00188180i | ||||
\(939\) | −6.48480 | + | 7.95248i | −0.211623 | + | 0.259519i | ||||
\(940\) | 5.82317 | + | 12.5866i | 0.189931 | + | 0.410528i | ||||
\(941\) | 1.92034 | − | 11.7136i | 0.0626014 | − | 0.381852i | −0.936880 | − | 0.349651i | \(-0.886300\pi\) |
0.999481 | − | 0.0322007i | \(-0.0102516\pi\) | |||||||
\(942\) | 0.914740 | + | 0.182190i | 0.0298038 | + | 0.00593606i | ||||
\(943\) | − | 53.8607i | − | 1.75394i | ||||||
\(944\) | −2.94656 | + | 2.61839i | −0.0959023 | + | 0.0852212i | ||||
\(945\) | −9.51493 | − | 27.6870i | −0.309521 | − | 0.900658i | ||||
\(946\) | −0.130584 | − | 0.593247i | −0.00424564 | − | 0.0192881i | ||||
\(947\) | −29.6630 | − | 4.86301i | −0.963919 | − | 0.158027i | −0.340785 | − | 0.940141i | \(-0.610693\pi\) |
−0.623134 | + | 0.782115i | \(0.714141\pi\) | |||||||
\(948\) | −0.348993 | − | 17.3925i | −0.0113348 | − | 0.564881i | ||||
\(949\) | −0.112318 | + | 0.404532i | −0.00364599 | + | 0.0131317i | ||||
\(950\) | 0.509966 | + | 9.40576i | 0.0165455 | + | 0.305163i | ||||
\(951\) | 3.45972 | − | 1.24355i | 0.112189 | − | 0.0403247i | ||||
\(952\) | −13.5623 | − | 17.8409i | −0.439557 | − | 0.578227i | ||||
\(953\) | −4.95017 | + | 14.6916i | −0.160352 | + | 0.475907i | −0.997468 | − | 0.0711183i | \(-0.977343\pi\) |
0.837116 | + | 0.547025i | \(0.184240\pi\) | |||||||
\(954\) | −10.6663 | − | 12.9207i | −0.345335 | − | 0.418324i | ||||
\(955\) | 22.8281 | − | 19.3904i | 0.738701 | − | 0.627458i | ||||
\(956\) | −15.2576 | + | 4.23624i | −0.493465 | + | 0.137010i | ||||
\(957\) | −0.808872 | − | 0.0715833i | −0.0261471 | − | 0.00231396i | ||||
\(958\) | 3.85733 | + | 2.61534i | 0.124625 | + | 0.0844976i | ||||
\(959\) | −1.26831 | + | 2.74141i | −0.0409559 | + | 0.0885247i | ||||
\(960\) | 12.5493 | − | 6.11448i | 0.405026 | − | 0.197344i | ||||
\(961\) | 36.2453 | + | 34.3334i | 1.16920 | + | 1.10753i | ||||
\(962\) | 0.504216 | + | 0.0548368i | 0.0162566 | + | 0.00176801i | ||||
\(963\) | −40.1102 | − | 19.2451i | −1.29253 | − | 0.620165i | ||||
\(964\) | −1.36265 | − | 8.31180i | −0.0438880 | − | 0.267705i | ||||
\(965\) | −6.99754 | + | 4.74445i | −0.225259 | + | 0.152729i | ||||
\(966\) | 36.1753 | − | 20.1189i | 1.16392 | − | 0.647314i | ||||
\(967\) | −0.661620 | − | 6.08349i | −0.0212763 | − | 0.195632i | 0.978676 | − | 0.205410i | \(-0.0658529\pi\) |
−0.999952 | + | 0.00977842i | \(0.996887\pi\) | |||||||
\(968\) | −15.0750 | − | 28.4345i | −0.484529 | − | 0.913919i | ||||
\(969\) | −5.58661 | − | 7.89392i | −0.179468 | − | 0.253589i | ||||
\(970\) | 10.3454 | − | 6.22463i | 0.332171 | − | 0.199861i | ||||
\(971\) | 28.7315 | + | 15.2325i | 0.922039 | + | 0.488834i | 0.860603 | − | 0.509277i | \(-0.170087\pi\) |
0.0614364 | + | 0.998111i | \(0.480432\pi\) | |||||||
\(972\) | 13.3754 | − | 11.1779i | 0.429016 | − | 0.358530i | ||||
\(973\) | 67.3609 | + | 14.8272i | 2.15949 | + | 0.475340i | ||||
\(974\) | 10.1110 | + | 2.22559i | 0.323976 | + | 0.0713125i | ||||
\(975\) | −0.399712 | + | 0.394140i | −0.0128010 | + | 0.0126226i | ||||
\(976\) | −4.32580 | − | 2.29339i | −0.138466 | − | 0.0734098i | ||||
\(977\) | −50.7987 | + | 30.5646i | −1.62519 | + | 0.977847i | −0.649044 | + | 0.760751i | \(0.724831\pi\) |
−0.976150 | + | 0.217096i | \(0.930342\pi\) | |||||||
\(978\) | 13.8644 | − | 9.81197i | 0.443334 | − | 0.313752i | ||||
\(979\) | 0.577629 | + | 1.08952i | 0.0184611 | + | 0.0348213i | ||||
\(980\) | 1.76882 | + | 16.2640i | 0.0565028 | + | 0.519535i | ||||
\(981\) | 25.6564 | − | 2.42638i | 0.819147 | − | 0.0774684i | ||||
\(982\) | 34.0231 | − | 23.0682i | 1.08572 | − | 0.736137i | ||||
\(983\) | −6.68139 | − | 40.7546i | −0.213103 | − | 1.29987i | −0.849122 | − | 0.528198i | \(-0.822868\pi\) |
0.636018 | − | 0.771674i | \(-0.280580\pi\) | |||||||
\(984\) | 1.55368 | − | 45.5416i | 0.0495294 | − | 1.45181i | ||||
\(985\) | −22.1071 | − | 2.40430i | −0.704392 | − | 0.0766072i | ||||
\(986\) | −6.13973 | − | 5.81586i | −0.195529 | − | 0.185215i | ||||
\(987\) | 30.1004 | + | 61.7775i | 0.958105 | + | 1.96640i | ||||
\(988\) | −0.145518 | + | 0.314531i | −0.00462953 | + | 0.0100066i | ||||
\(989\) | −34.2010 | − | 23.1888i | −1.08753 | − | 0.737362i | ||||
\(990\) | −0.168678 | + | 0.307645i | −0.00536094 | + | 0.00977759i | ||||
\(991\) | −5.25927 | + | 1.46023i | −0.167066 | + | 0.0463857i | −0.350054 | − | 0.936729i | \(-0.613837\pi\) |
0.182988 | + | 0.983115i | \(0.441423\pi\) | |||||||
\(992\) | −36.8479 | + | 31.2989i | −1.16992 | + | 0.993741i | ||||
\(993\) | 2.09636 | + | 1.05810i | 0.0665261 | + | 0.0335778i | ||||
\(994\) | −1.64579 | + | 4.88453i | −0.0522013 | + | 0.154928i | ||||
\(995\) | 12.1041 | + | 15.9227i | 0.383726 | + | 0.504783i | ||||
\(996\) | −3.76007 | − | 10.4611i | −0.119142 | − | 0.331471i | ||||
\(997\) | 0.855115 | + | 15.7717i | 0.0270818 | + | 0.499494i | 0.980337 | + | 0.197329i | \(0.0632266\pi\) |
−0.953256 | + | 0.302165i | \(0.902291\pi\) | |||||||
\(998\) | 1.95252 | − | 7.03234i | 0.0618060 | − | 0.222605i | ||||
\(999\) | 19.4098 | + | 20.2450i | 0.614100 | + | 0.640525i |
(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 | 177.2.f.a.11.6 | ✓ | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.11.13 | yes | 504 | |
59.43 | odd | 58 | inner | 177.2.f.a.161.13 | yes | 504 | |
177.161 | even | 58 | inner | 177.2.f.a.161.6 | yes | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.11.6 | ✓ | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.11.13 | yes | 504 | 3.2 | odd | 2 | inner | |
177.2.f.a.161.6 | yes | 504 | 177.161 | even | 58 | inner | |
177.2.f.a.161.13 | yes | 504 | 59.43 | odd | 58 | inner |