Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [234,2,Mod(11,234)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(234, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("234.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 234 = 2 \cdot 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 234.y (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.86849940730\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 234.11 |
Dual form | 234.2.y.a.149.11 |
$q$-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 \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(209\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | ||||
\(3\) | −0.539995 | − | 1.64572i | −0.311766 | − | 0.950159i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | 3.04921 | + | 0.817032i | 1.36365 | + | 0.365388i | 0.865154 | − | 0.501506i | \(-0.167221\pi\) |
0.498492 | + | 0.866894i | \(0.333887\pi\) | |||||||
\(6\) | −1.54554 | − | 0.781868i | −0.630962 | − | 0.319196i | ||||
\(7\) | 2.84235 | + | 0.761606i | 1.07431 | + | 0.287860i | 0.752262 | − | 0.658864i | \(-0.228963\pi\) |
0.322046 | + | 0.946724i | \(0.395629\pi\) | |||||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | −2.41681 | + | 1.77736i | −0.805604 | + | 0.592455i | ||||
\(10\) | 2.73384 | − | 1.57838i | 0.864517 | − | 0.499129i | ||||
\(11\) | −0.616853 | − | 0.616853i | −0.185988 | − | 0.185988i | 0.607971 | − | 0.793959i | \(-0.291984\pi\) |
−0.793959 | + | 0.607971i | \(0.791984\pi\) | |||||||
\(12\) | −1.64572 | + | 0.539995i | −0.475079 | + | 0.155883i | ||||
\(13\) | −3.08613 | − | 1.86435i | −0.855938 | − | 0.517078i | ||||
\(14\) | 2.54838 | − | 1.47131i | 0.681084 | − | 0.393224i | ||||
\(15\) | −0.301946 | − | 5.45934i | −0.0779621 | − | 1.40960i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −1.80087 | + | 3.11920i | −0.436776 | + | 0.756518i | −0.997439 | − | 0.0715262i | \(-0.977213\pi\) |
0.560663 | + | 0.828044i | \(0.310546\pi\) | |||||||
\(18\) | −0.452158 | + | 2.96573i | −0.106575 | + | 0.699029i | ||||
\(19\) | −4.90132 | + | 1.31331i | −1.12444 | + | 0.301293i | −0.772679 | − | 0.634797i | \(-0.781084\pi\) |
−0.351761 | + | 0.936090i | \(0.614417\pi\) | |||||||
\(20\) | 0.817032 | − | 3.04921i | 0.182694 | − | 0.681823i | ||||
\(21\) | −0.281462 | − | 5.08899i | −0.0614201 | − | 1.11051i | ||||
\(22\) | −0.872362 | −0.185988 | ||||||||
\(23\) | 1.86758 | − | 3.23474i | 0.389416 | − | 0.674489i | −0.602955 | − | 0.797775i | \(-0.706010\pi\) |
0.992371 | + | 0.123286i | \(0.0393434\pi\) | |||||||
\(24\) | −0.781868 | + | 1.54554i | −0.159598 | + | 0.315481i | ||||
\(25\) | 4.29998 | + | 2.48260i | 0.859997 | + | 0.496519i | ||||
\(26\) | −3.50052 | + | 0.863928i | −0.686508 | + | 0.169430i | ||||
\(27\) | 4.23011 | + | 3.01764i | 0.814086 | + | 0.580744i | ||||
\(28\) | 0.761606 | − | 2.84235i | 0.143930 | − | 0.537154i | ||||
\(29\) | 8.59946i | 1.59688i | 0.602075 | + | 0.798439i | \(0.294341\pi\) | ||||
−0.602075 | + | 0.798439i | \(0.705659\pi\) | |||||||
\(30\) | −4.07385 | − | 3.64683i | −0.743779 | − | 0.665817i | ||||
\(31\) | 1.33067 | − | 4.96612i | 0.238995 | − | 0.891942i | −0.737312 | − | 0.675553i | \(-0.763905\pi\) |
0.976307 | − | 0.216390i | \(-0.0694282\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −0.682072 | + | 1.34827i | −0.118733 | + | 0.234703i | ||||
\(34\) | 0.932200 | + | 3.47902i | 0.159871 | + | 0.596647i | ||||
\(35\) | 8.04466 | + | 4.64459i | 1.35980 | + | 0.785079i | ||||
\(36\) | 1.77736 | + | 2.41681i | 0.296227 | + | 0.402802i | ||||
\(37\) | −5.77159 | − | 1.54649i | −0.948844 | − | 0.254242i | −0.248972 | − | 0.968511i | \(-0.580093\pi\) |
−0.699872 | + | 0.714269i | \(0.746760\pi\) | |||||||
\(38\) | −2.53711 | + | 4.39440i | −0.411574 | + | 0.712867i | ||||
\(39\) | −1.40171 | + | 6.08566i | −0.224454 | + | 0.974485i | ||||
\(40\) | −1.57838 | − | 2.73384i | −0.249565 | − | 0.432258i | ||||
\(41\) | 2.82738 | + | 10.5519i | 0.441562 | + | 1.64793i | 0.724858 | + | 0.688899i | \(0.241906\pi\) |
−0.283296 | + | 0.959033i | \(0.591428\pi\) | |||||||
\(42\) | −3.79748 | − | 3.39944i | −0.585965 | − | 0.524544i | ||||
\(43\) | 5.48696 | − | 3.16790i | 0.836754 | − | 0.483100i | −0.0194056 | − | 0.999812i | \(-0.506177\pi\) |
0.856159 | + | 0.516712i | \(0.172844\pi\) | |||||||
\(44\) | −0.616853 | + | 0.616853i | −0.0929941 | + | 0.0929941i | ||||
\(45\) | −8.82152 | + | 3.44493i | −1.31503 | + | 0.513541i | ||||
\(46\) | −0.966728 | − | 3.60788i | −0.142536 | − | 0.531953i | ||||
\(47\) | 6.10838 | − | 1.63674i | 0.890999 | − | 0.238742i | 0.215852 | − | 0.976426i | \(-0.430747\pi\) |
0.675146 | + | 0.737684i | \(0.264080\pi\) | |||||||
\(48\) | 0.539995 | + | 1.64572i | 0.0779415 | + | 0.237540i | ||||
\(49\) | 1.43675 | + | 0.829510i | 0.205251 | + | 0.118501i | ||||
\(50\) | 4.79601 | − | 1.28509i | 0.678258 | − | 0.181739i | ||||
\(51\) | 6.10581 | + | 1.27939i | 0.854984 | + | 0.179150i | ||||
\(52\) | −1.86435 | + | 3.08613i | −0.258539 | + | 0.427969i | ||||
\(53\) | 6.73100i | 0.924574i | 0.886730 | + | 0.462287i | \(0.152971\pi\) | ||||
−0.886730 | + | 0.462287i | \(0.847029\pi\) | |||||||
\(54\) | 5.12493 | − | 0.857352i | 0.697415 | − | 0.116671i | ||||
\(55\) | −1.37692 | − | 2.38490i | −0.185664 | − | 0.321580i | ||||
\(56\) | −1.47131 | − | 2.54838i | −0.196612 | − | 0.340542i | ||||
\(57\) | 4.80802 | + | 7.35704i | 0.636838 | + | 0.974464i | ||||
\(58\) | 6.08073 | + | 6.08073i | 0.798439 | + | 0.798439i | ||||
\(59\) | −3.89902 | − | 3.89902i | −0.507609 | − | 0.507609i | 0.406183 | − | 0.913792i | \(-0.366860\pi\) |
−0.913792 | + | 0.406183i | \(0.866860\pi\) | |||||||
\(60\) | −5.45934 | + | 0.301946i | −0.704798 | + | 0.0389810i | ||||
\(61\) | −3.18449 | − | 5.51569i | −0.407732 | − | 0.706212i | 0.586903 | − | 0.809657i | \(-0.300347\pi\) |
−0.994635 | + | 0.103445i | \(0.967014\pi\) | |||||||
\(62\) | −2.57066 | − | 4.45251i | −0.326474 | − | 0.565469i | ||||
\(63\) | −8.22309 | + | 3.21124i | −1.03601 | + | 0.404578i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −7.88701 | − | 8.20625i | −0.978263 | − | 1.01786i | ||||
\(66\) | 0.471071 | + | 1.43567i | 0.0579848 | + | 0.176718i | ||||
\(67\) | −7.99294 | + | 2.14170i | −0.976493 | + | 0.261650i | −0.711567 | − | 0.702618i | \(-0.752014\pi\) |
−0.264926 | + | 0.964269i | \(0.585347\pi\) | |||||||
\(68\) | 3.11920 | + | 1.80087i | 0.378259 | + | 0.218388i | ||||
\(69\) | −6.33196 | − | 1.32677i | −0.762279 | − | 0.159725i | ||||
\(70\) | 8.97266 | − | 2.40422i | 1.07244 | − | 0.287359i | ||||
\(71\) | −1.65986 | − | 6.19468i | −0.196989 | − | 0.735174i | −0.991743 | − | 0.128242i | \(-0.959067\pi\) |
0.794754 | − | 0.606932i | \(-0.207600\pi\) | |||||||
\(72\) | 2.96573 | + | 0.452158i | 0.349515 | + | 0.0532873i | ||||
\(73\) | 10.6419 | − | 10.6419i | 1.24555 | − | 1.24555i | 0.287878 | − | 0.957667i | \(-0.407050\pi\) |
0.957667 | − | 0.287878i | \(-0.0929498\pi\) | |||||||
\(74\) | −5.17467 | + | 2.98760i | −0.601543 | + | 0.347301i | ||||
\(75\) | 1.76370 | − | 8.41717i | 0.203654 | − | 0.971932i | ||||
\(76\) | 1.31331 | + | 4.90132i | 0.150646 | + | 0.562220i | ||||
\(77\) | −1.28351 | − | 2.22311i | −0.146270 | − | 0.253347i | ||||
\(78\) | 3.31205 | + | 5.29437i | 0.375016 | + | 0.599469i | ||||
\(79\) | −1.30671 | + | 2.26329i | −0.147016 | + | 0.254640i | −0.930123 | − | 0.367247i | \(-0.880300\pi\) |
0.783107 | + | 0.621887i | \(0.213634\pi\) | |||||||
\(80\) | −3.04921 | − | 0.817032i | −0.340912 | − | 0.0913470i | ||||
\(81\) | 2.68196 | − | 8.59111i | 0.297995 | − | 0.954567i | ||||
\(82\) | 9.46058 | + | 5.46207i | 1.04475 | + | 0.603185i | ||||
\(83\) | 2.96889 | + | 11.0800i | 0.325878 | + | 1.21619i | 0.913426 | + | 0.407004i | \(0.133427\pi\) |
−0.587548 | + | 0.809189i | \(0.699907\pi\) | |||||||
\(84\) | −5.08899 | + | 0.281462i | −0.555255 | + | 0.0307101i | ||||
\(85\) | −8.03972 | + | 8.03972i | −0.872030 | + | 0.872030i | ||||
\(86\) | 1.63983 | − | 6.11991i | 0.176827 | − | 0.659927i | ||||
\(87\) | 14.1523 | − | 4.64366i | 1.51729 | − | 0.497853i | ||||
\(88\) | 0.872362i | 0.0929941i | ||||||||
\(89\) | 2.10194 | − | 7.84455i | 0.222805 | − | 0.831521i | −0.760467 | − | 0.649377i | \(-0.775030\pi\) |
0.983272 | − | 0.182144i | \(-0.0583036\pi\) | |||||||
\(90\) | −3.80182 | + | 8.67369i | −0.400747 | + | 0.914287i | ||||
\(91\) | −7.35197 | − | 7.64956i | −0.770696 | − | 0.801892i | ||||
\(92\) | −3.23474 | − | 1.86758i | −0.337244 | − | 0.194708i | ||||
\(93\) | −8.89142 | + | 0.491768i | −0.921997 | + | 0.0509939i | ||||
\(94\) | 3.16193 | − | 5.47662i | 0.326128 | − | 0.564871i | ||||
\(95\) | −16.0181 | −1.64343 | ||||||||
\(96\) | 1.54554 | + | 0.781868i | 0.157741 | + | 0.0797991i | ||||
\(97\) | −4.37811 | + | 16.3393i | −0.444530 | + | 1.65901i | 0.272644 | + | 0.962115i | \(0.412102\pi\) |
−0.717174 | + | 0.696894i | \(0.754565\pi\) | |||||||
\(98\) | 1.60249 | − | 0.429386i | 0.161876 | − | 0.0433745i | ||||
\(99\) | 2.58719 | + | 0.394445i | 0.260022 | + | 0.0396432i | ||||
\(100\) | 2.48260 | − | 4.29998i | 0.248260 | − | 0.429998i | ||||
\(101\) | 5.16265 | 0.513703 | 0.256851 | − | 0.966451i | \(-0.417315\pi\) | ||||
0.256851 | + | 0.966451i | \(0.417315\pi\) | |||||||
\(102\) | 5.22212 | − | 3.41280i | 0.517067 | − | 0.337917i | ||||
\(103\) | −7.99184 | + | 4.61409i | −0.787459 | + | 0.454640i | −0.839067 | − | 0.544028i | \(-0.816899\pi\) |
0.0516081 | + | 0.998667i | \(0.483565\pi\) | |||||||
\(104\) | 0.863928 | + | 3.50052i | 0.0847151 | + | 0.343254i | ||||
\(105\) | 3.29963 | − | 15.7473i | 0.322011 | − | 1.53678i | ||||
\(106\) | 4.75954 | + | 4.75954i | 0.462287 | + | 0.462287i | ||||
\(107\) | 0.210437 | − | 0.121496i | 0.0203437 | − | 0.0117454i | −0.489794 | − | 0.871838i | \(-0.662928\pi\) |
0.510137 | + | 0.860093i | \(0.329595\pi\) | |||||||
\(108\) | 3.01764 | − | 4.23011i | 0.290372 | − | 0.407043i | ||||
\(109\) | 2.87971 | + | 2.87971i | 0.275827 | + | 0.275827i | 0.831440 | − | 0.555614i | \(-0.187517\pi\) |
−0.555614 | + | 0.831440i | \(0.687517\pi\) | |||||||
\(110\) | −2.66001 | − | 0.712747i | −0.253622 | − | 0.0679578i | ||||
\(111\) | 0.571529 | + | 10.3335i | 0.0542471 | + | 0.980817i | ||||
\(112\) | −2.84235 | − | 0.761606i | −0.268577 | − | 0.0719650i | ||||
\(113\) | − | 3.05691i | − | 0.287570i | −0.989609 | − | 0.143785i | \(-0.954073\pi\) | ||
0.989609 | − | 0.143785i | \(-0.0459274\pi\) | |||||||
\(114\) | 8.60200 | + | 1.80243i | 0.805651 | + | 0.168813i | ||||
\(115\) | 8.33750 | − | 8.33750i | 0.777476 | − | 0.777476i | ||||
\(116\) | 8.59946 | 0.798439 | ||||||||
\(117\) | 10.7722 | − | 0.979392i | 0.995892 | − | 0.0905448i | ||||
\(118\) | −5.51405 | −0.507609 | ||||||||
\(119\) | −7.49432 | + | 7.49432i | −0.687004 | + | 0.687004i | ||||
\(120\) | −3.64683 | + | 4.07385i | −0.332908 | + | 0.371889i | ||||
\(121\) | − | 10.2390i | − | 0.930817i | ||||||
\(122\) | −6.15196 | − | 1.64841i | −0.556972 | − | 0.149240i | ||||
\(123\) | 15.8388 | − | 10.3511i | 1.42813 | − | 0.933323i | ||||
\(124\) | −4.96612 | − | 1.33067i | −0.445971 | − | 0.119498i | ||||
\(125\) | −0.0776933 | − | 0.0776933i | −0.00694910 | − | 0.00694910i | ||||
\(126\) | −3.54391 | + | 8.08529i | −0.315717 | + | 0.720295i | ||||
\(127\) | 16.5577 | − | 9.55958i | 1.46926 | − | 0.848276i | 0.469851 | − | 0.882746i | \(-0.344308\pi\) |
0.999406 | + | 0.0344705i | \(0.0109745\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | −8.17642 | − | 7.31937i | −0.719893 | − | 0.644435i | ||||
\(130\) | −11.3797 | − | 0.225741i | −0.998062 | − | 0.0197988i | ||||
\(131\) | −10.6970 | + | 6.17593i | −0.934603 | + | 0.539593i | −0.888264 | − | 0.459332i | \(-0.848089\pi\) |
−0.0463386 | + | 0.998926i | \(0.514755\pi\) | |||||||
\(132\) | 1.34827 | + | 0.682072i | 0.117352 | + | 0.0593667i | ||||
\(133\) | −14.9315 | −1.29473 | ||||||||
\(134\) | −4.13745 | + | 7.16627i | −0.357421 | + | 0.619072i | ||||
\(135\) | 10.4330 | + | 12.6575i | 0.897928 | + | 1.08939i | ||||
\(136\) | 3.47902 | − | 0.932200i | 0.298323 | − | 0.0799355i | ||||
\(137\) | 1.79956 | − | 6.71605i | 0.153747 | − | 0.573791i | −0.845463 | − | 0.534035i | \(-0.820675\pi\) |
0.999209 | − | 0.0397562i | \(-0.0126581\pi\) | |||||||
\(138\) | −5.41554 | + | 3.53920i | −0.461002 | + | 0.301277i | ||||
\(139\) | −5.68120 | −0.481873 | −0.240937 | − | 0.970541i | \(-0.577455\pi\) | ||||
−0.240937 | + | 0.970541i | \(0.577455\pi\) | |||||||
\(140\) | 4.64459 | − | 8.04466i | 0.392539 | − | 0.679898i | ||||
\(141\) | −5.99211 | − | 9.16887i | −0.504626 | − | 0.772159i | ||||
\(142\) | −5.55400 | − | 3.20660i | −0.466081 | − | 0.269092i | ||||
\(143\) | 0.753658 | + | 3.05372i | 0.0630240 | + | 0.255365i | ||||
\(144\) | 2.41681 | − | 1.77736i | 0.201401 | − | 0.148114i | ||||
\(145\) | −7.02603 | + | 26.2215i | −0.583480 | + | 2.17758i | ||||
\(146\) | − | 15.0500i | − | 1.24555i | ||||||
\(147\) | 0.589305 | − | 2.81243i | 0.0486050 | − | 0.231965i | ||||
\(148\) | −1.54649 | + | 5.77159i | −0.127121 | + | 0.474422i | ||||
\(149\) | 14.6958 | − | 14.6958i | 1.20393 | − | 1.20393i | 0.230964 | − | 0.972962i | \(-0.425812\pi\) |
0.972962 | − | 0.230964i | \(-0.0741879\pi\) | |||||||
\(150\) | −4.70472 | − | 7.19896i | −0.384139 | − | 0.587793i | ||||
\(151\) | −1.90772 | − | 7.11970i | −0.155248 | − | 0.579393i | −0.999084 | − | 0.0427921i | \(-0.986375\pi\) |
0.843836 | − | 0.536601i | \(-0.180292\pi\) | |||||||
\(152\) | 4.39440 | + | 2.53711i | 0.356433 | + | 0.205787i | ||||
\(153\) | −1.19159 | − | 10.7393i | −0.0963343 | − | 0.868224i | ||||
\(154\) | −2.47956 | − | 0.664396i | −0.199809 | − | 0.0535386i | ||||
\(155\) | 8.11497 | − | 14.0555i | 0.651810 | − | 1.12897i | ||||
\(156\) | 6.08566 | + | 1.40171i | 0.487242 | + | 0.112227i | ||||
\(157\) | −5.21020 | − | 9.02434i | −0.415819 | − | 0.720220i | 0.579695 | − | 0.814834i | \(-0.303172\pi\) |
−0.995514 | + | 0.0946134i | \(0.969838\pi\) | |||||||
\(158\) | 0.676403 | + | 2.52437i | 0.0538118 | + | 0.200828i | ||||
\(159\) | 11.0774 | − | 3.63471i | 0.878493 | − | 0.288251i | ||||
\(160\) | −2.73384 | + | 1.57838i | −0.216129 | + | 0.124782i | ||||
\(161\) | 7.77191 | − | 7.77191i | 0.612512 | − | 0.612512i | ||||
\(162\) | −4.17840 | − | 7.97126i | −0.328286 | − | 0.626281i | ||||
\(163\) | 1.76529 | + | 6.58816i | 0.138268 | + | 0.516025i | 0.999963 | + | 0.00859756i | \(0.00273672\pi\) |
−0.861695 | + | 0.507427i | \(0.830597\pi\) | |||||||
\(164\) | 10.5519 | − | 2.82738i | 0.823966 | − | 0.220781i | ||||
\(165\) | −3.18135 | + | 3.55387i | −0.247668 | + | 0.276668i | ||||
\(166\) | 9.93410 | + | 5.73546i | 0.771036 | + | 0.445158i | ||||
\(167\) | −13.2930 | + | 3.56186i | −1.02865 | + | 0.275625i | −0.733400 | − | 0.679797i | \(-0.762068\pi\) |
−0.295245 | + | 0.955422i | \(0.595401\pi\) | |||||||
\(168\) | −3.39944 | + | 3.79748i | −0.262272 | + | 0.292982i | ||||
\(169\) | 6.04839 | + | 11.5073i | 0.465261 | + | 0.885174i | ||||
\(170\) | 11.3699i | 0.872030i | ||||||||
\(171\) | 9.51135 | − | 11.8854i | 0.727351 | − | 0.908902i | ||||
\(172\) | −3.16790 | − | 5.48696i | −0.241550 | − | 0.418377i | ||||
\(173\) | 2.03004 | + | 3.51613i | 0.154341 | + | 0.267326i | 0.932819 | − | 0.360346i | \(-0.117341\pi\) |
−0.778478 | + | 0.627672i | \(0.784008\pi\) | |||||||
\(174\) | 6.72364 | − | 13.2908i | 0.509718 | − | 1.00757i | ||||
\(175\) | 10.3313 | + | 10.3313i | 0.780974 | + | 0.780974i | ||||
\(176\) | 0.616853 | + | 0.616853i | 0.0464970 | + | 0.0464970i | ||||
\(177\) | −4.31126 | + | 8.52216i | −0.324054 | + | 0.640565i | ||||
\(178\) | −4.06064 | − | 7.03323i | −0.304358 | − | 0.527163i | ||||
\(179\) | −9.70640 | − | 16.8120i | −0.725490 | − | 1.25659i | −0.958772 | − | 0.284177i | \(-0.908280\pi\) |
0.233282 | − | 0.972409i | \(-0.425054\pi\) | |||||||
\(180\) | 3.44493 | + | 8.82152i | 0.256770 | + | 0.657517i | ||||
\(181\) | − | 0.0982851i | − | 0.00730547i | −0.999993 | − | 0.00365274i | \(-0.998837\pi\) | ||
0.999993 | − | 0.00365274i | \(-0.00116270\pi\) | |||||||
\(182\) | −10.6077 | − | 0.210427i | −0.786294 | − | 0.0155979i | ||||
\(183\) | −7.35770 | + | 8.21923i | −0.543897 | + | 0.607583i | ||||
\(184\) | −3.60788 | + | 0.966728i | −0.265976 | + | 0.0712681i | ||||
\(185\) | −16.3352 | − | 9.43115i | −1.20099 | − | 0.693392i | ||||
\(186\) | −5.93945 | + | 6.63492i | −0.435502 | + | 0.486496i | ||||
\(187\) | 3.03496 | − | 0.813216i | 0.221938 | − | 0.0594682i | ||||
\(188\) | −1.63674 | − | 6.10838i | −0.119371 | − | 0.445499i | ||||
\(189\) | 9.72523 | + | 11.7989i | 0.707407 | + | 0.858242i | ||||
\(190\) | −11.3265 | + | 11.3265i | −0.821714 | + | 0.821714i | ||||
\(191\) | 10.9961 | − | 6.34858i | 0.795648 | − | 0.459367i | −0.0462993 | − | 0.998928i | \(-0.514743\pi\) |
0.841947 | + | 0.539560i | \(0.181409\pi\) | |||||||
\(192\) | 1.64572 | − | 0.539995i | 0.118770 | − | 0.0389708i | ||||
\(193\) | 6.14134 | + | 22.9198i | 0.442063 | + | 1.64980i | 0.723576 | + | 0.690244i | \(0.242497\pi\) |
−0.281513 | + | 0.959557i | \(0.590836\pi\) | |||||||
\(194\) | 8.45787 | + | 14.6495i | 0.607240 | + | 1.05177i | ||||
\(195\) | −9.24628 | + | 17.4112i | −0.662140 | + | 1.24684i | ||||
\(196\) | 0.829510 | − | 1.43675i | 0.0592507 | − | 0.102625i | ||||
\(197\) | −5.16169 | − | 1.38307i | −0.367755 | − | 0.0985397i | 0.0702085 | − | 0.997532i | \(-0.477634\pi\) |
−0.437964 | + | 0.898993i | \(0.644300\pi\) | |||||||
\(198\) | 2.10833 | − | 1.55050i | 0.149833 | − | 0.110190i | ||||
\(199\) | −7.44445 | − | 4.29806i | −0.527723 | − | 0.304681i | 0.212366 | − | 0.977190i | \(-0.431883\pi\) |
−0.740089 | + | 0.672509i | \(0.765217\pi\) | |||||||
\(200\) | −1.28509 | − | 4.79601i | −0.0908694 | − | 0.339129i | ||||
\(201\) | 7.84079 | + | 11.9977i | 0.553047 | + | 0.846249i | ||||
\(202\) | 3.65055 | − | 3.65055i | 0.256851 | − | 0.256851i | ||||
\(203\) | −6.54940 | + | 24.4427i | −0.459678 | + | 1.71554i | ||||
\(204\) | 1.27939 | − | 6.10581i | 0.0895749 | − | 0.427492i | ||||
\(205\) | 34.4850i | 2.40854i | ||||||||
\(206\) | −2.38843 | + | 8.91374i | −0.166410 | + | 0.621050i | ||||
\(207\) | 1.23572 | + | 11.1371i | 0.0858888 | + | 0.774082i | ||||
\(208\) | 3.08613 | + | 1.86435i | 0.213985 | + | 0.129269i | ||||
\(209\) | 3.83351 | + | 2.21328i | 0.265169 | + | 0.153096i | ||||
\(210\) | −8.80186 | − | 13.4682i | −0.607386 | − | 0.929397i | ||||
\(211\) | 4.87073 | − | 8.43636i | 0.335315 | − | 0.580783i | −0.648230 | − | 0.761444i | \(-0.724491\pi\) |
0.983545 | + | 0.180662i | \(0.0578239\pi\) | |||||||
\(212\) | 6.73100 | 0.462287 | ||||||||
\(213\) | −9.29842 | + | 6.07677i | −0.637117 | + | 0.416373i | ||||
\(214\) | 0.0628908 | − | 0.234711i | 0.00429912 | − | 0.0160445i | ||||
\(215\) | 19.3191 | − | 5.17655i | 1.31755 | − | 0.353038i | ||||
\(216\) | −0.857352 | − | 5.12493i | −0.0583354 | − | 0.348708i | ||||
\(217\) | 7.56446 | − | 13.1020i | 0.513509 | − | 0.889424i | ||||
\(218\) | 4.07253 | 0.275827 | ||||||||
\(219\) | −23.2603 | − | 11.7671i | −1.57178 | − | 0.795147i | ||||
\(220\) | −2.38490 | + | 1.37692i | −0.160790 | + | 0.0928321i | ||||
\(221\) | 11.3730 | − | 6.26881i | 0.765032 | − | 0.421686i | ||||
\(222\) | 7.71105 | + | 6.90279i | 0.517532 | + | 0.463285i | ||||
\(223\) | 13.4223 | + | 13.4223i | 0.898824 | + | 0.898824i | 0.995332 | − | 0.0965083i | \(-0.0307674\pi\) |
−0.0965083 | + | 0.995332i | \(0.530767\pi\) | |||||||
\(224\) | −2.54838 | + | 1.47131i | −0.170271 | + | 0.0983061i | ||||
\(225\) | −14.8047 | + | 1.64267i | −0.986982 | + | 0.109511i | ||||
\(226\) | −2.16156 | − | 2.16156i | −0.143785 | − | 0.143785i | ||||
\(227\) | −14.9418 | − | 4.00365i | −0.991723 | − | 0.265731i | −0.273749 | − | 0.961801i | \(-0.588264\pi\) |
−0.717974 | + | 0.696070i | \(0.754930\pi\) | |||||||
\(228\) | 7.35704 | − | 4.80802i | 0.487232 | − | 0.318419i | ||||
\(229\) | −14.6426 | − | 3.92348i | −0.967612 | − | 0.259271i | −0.259792 | − | 0.965664i | \(-0.583654\pi\) |
−0.707819 | + | 0.706394i | \(0.750321\pi\) | |||||||
\(230\) | − | 11.7910i | − | 0.777476i | ||||||
\(231\) | −2.96554 | + | 3.31278i | −0.195118 | + | 0.217965i | ||||
\(232\) | 6.08073 | − | 6.08073i | 0.399220 | − | 0.399220i | ||||
\(233\) | −11.5129 | −0.754237 | −0.377118 | − | 0.926165i | \(-0.623085\pi\) | ||||
−0.377118 | + | 0.926165i | \(0.623085\pi\) | |||||||
\(234\) | 6.92458 | − | 8.30965i | 0.452674 | − | 0.543219i | ||||
\(235\) | 19.9630 | 1.30224 | ||||||||
\(236\) | −3.89902 | + | 3.89902i | −0.253805 | + | 0.253805i | ||||
\(237\) | 4.43037 | + | 0.928320i | 0.287783 | + | 0.0603009i | ||||
\(238\) | 10.5986i | 0.687004i | ||||||||
\(239\) | 3.89177 | + | 1.04280i | 0.251737 | + | 0.0674528i | 0.382481 | − | 0.923963i | \(-0.375070\pi\) |
−0.130743 | + | 0.991416i | \(0.541736\pi\) | |||||||
\(240\) | 0.301946 | + | 5.45934i | 0.0194905 | + | 0.352399i | ||||
\(241\) | −14.3057 | − | 3.83319i | −0.921509 | − | 0.246918i | −0.233279 | − | 0.972410i | \(-0.574945\pi\) |
−0.688230 | + | 0.725492i | \(0.741612\pi\) | |||||||
\(242\) | −7.24006 | − | 7.24006i | −0.465408 | − | 0.465408i | ||||
\(243\) | −15.5868 | + | 0.225396i | −0.999895 | + | 0.0144591i | ||||
\(244\) | −5.51569 | + | 3.18449i | −0.353106 | + | 0.203866i | ||||
\(245\) | 3.70322 | + | 3.70322i | 0.236590 | + | 0.236590i | ||||
\(246\) | 3.88039 | − | 18.5190i | 0.247405 | − | 1.18073i | ||||
\(247\) | 17.5746 | + | 5.08475i | 1.11824 | + | 0.323535i | ||||
\(248\) | −4.45251 | + | 2.57066i | −0.282734 | + | 0.163237i | ||||
\(249\) | 16.6315 | − | 10.8691i | 1.05398 | − | 0.688804i | ||||
\(250\) | −0.109875 | −0.00694910 | ||||||||
\(251\) | 1.98281 | − | 3.43432i | 0.125154 | − | 0.216772i | −0.796639 | − | 0.604455i | \(-0.793391\pi\) |
0.921793 | + | 0.387682i | \(0.126724\pi\) | |||||||
\(252\) | 3.21124 | + | 8.22309i | 0.202289 | + | 0.518006i | ||||
\(253\) | −3.14737 | + | 0.843337i | −0.197874 | + | 0.0530201i | ||||
\(254\) | 4.94840 | − | 18.4677i | 0.310490 | − | 1.15877i | ||||
\(255\) | 17.5726 | + | 8.88975i | 1.10044 | + | 0.556698i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −6.92795 | + | 11.9996i | −0.432153 | + | 0.748512i | −0.997059 | − | 0.0766441i | \(-0.975579\pi\) |
0.564905 | + | 0.825156i | \(0.308913\pi\) | |||||||
\(258\) | −10.9572 | + | 0.606021i | −0.682164 | + | 0.0377292i | ||||
\(259\) | −15.2271 | − | 8.79137i | −0.946165 | − | 0.546269i | ||||
\(260\) | −8.20625 | + | 7.88701i | −0.508930 | + | 0.489132i | ||||
\(261\) | −15.2844 | − | 20.7833i | −0.946078 | − | 1.28645i | ||||
\(262\) | −3.19690 | + | 11.9310i | −0.197505 | + | 0.737098i | ||||
\(263\) | 16.0207i | 0.987880i | 0.869496 | + | 0.493940i | \(0.164444\pi\) | ||||
−0.869496 | + | 0.493940i | \(0.835556\pi\) | |||||||
\(264\) | 1.43567 | − | 0.471071i | 0.0883591 | − | 0.0289924i | ||||
\(265\) | −5.49945 | + | 20.5242i | −0.337828 | + | 1.26079i | ||||
\(266\) | −10.5582 | + | 10.5582i | −0.647363 | + | 0.647363i | ||||
\(267\) | −14.0450 | + | 0.776802i | −0.859540 | + | 0.0475395i | ||||
\(268\) | 2.14170 | + | 7.99294i | 0.130825 | + | 0.488246i | ||||
\(269\) | 1.90561 | + | 1.10021i | 0.116187 | + | 0.0670808i | 0.556967 | − | 0.830534i | \(-0.311965\pi\) |
−0.440780 | + | 0.897615i | \(0.645298\pi\) | |||||||
\(270\) | 16.3275 | + | 1.57299i | 0.993658 | + | 0.0957294i | ||||
\(271\) | −5.96826 | − | 1.59919i | −0.362546 | − | 0.0971439i | 0.0729474 | − | 0.997336i | \(-0.476759\pi\) |
−0.435494 | + | 0.900192i | \(0.643426\pi\) | |||||||
\(272\) | 1.80087 | − | 3.11920i | 0.109194 | − | 0.189129i | ||||
\(273\) | −8.61904 | + | 16.2300i | −0.521648 | + | 0.982286i | ||||
\(274\) | −3.47648 | − | 6.02145i | −0.210022 | − | 0.363769i | ||||
\(275\) | −1.12106 | − | 4.18385i | −0.0676025 | − | 0.252296i | ||||
\(276\) | −1.32677 | + | 6.33196i | −0.0798623 | + | 0.381139i | ||||
\(277\) | 17.6848 | − | 10.2103i | 1.06258 | − | 0.613479i | 0.136433 | − | 0.990649i | \(-0.456436\pi\) |
0.926144 | + | 0.377170i | \(0.123103\pi\) | |||||||
\(278\) | −4.01721 | + | 4.01721i | −0.240937 | + | 0.240937i | ||||
\(279\) | 5.61063 | + | 14.3673i | 0.335900 | + | 0.860146i | ||||
\(280\) | −2.40422 | − | 8.97266i | −0.143679 | − | 0.536219i | ||||
\(281\) | 20.0659 | − | 5.37665i | 1.19703 | − | 0.320744i | 0.395372 | − | 0.918521i | \(-0.370616\pi\) |
0.801662 | + | 0.597777i | \(0.203949\pi\) | |||||||
\(282\) | −10.7204 | − | 2.24631i | −0.638392 | − | 0.133766i | ||||
\(283\) | −20.8752 | − | 12.0523i | −1.24090 | − | 0.716436i | −0.271626 | − | 0.962403i | \(-0.587561\pi\) |
−0.969278 | + | 0.245966i | \(0.920895\pi\) | |||||||
\(284\) | −6.19468 | + | 1.65986i | −0.367587 | + | 0.0984946i | ||||
\(285\) | 8.64971 | + | 26.3614i | 0.512365 | + | 1.56152i | ||||
\(286\) | 2.69222 | + | 1.62639i | 0.159194 | + | 0.0961703i | ||||
\(287\) | 32.1456i | 1.89750i | ||||||||
\(288\) | 0.452158 | − | 2.96573i | 0.0266436 | − | 0.174757i | ||||
\(289\) | 2.01371 | + | 3.48785i | 0.118454 | + | 0.205168i | ||||
\(290\) | 13.5733 | + | 23.5096i | 0.797049 | + | 1.38053i | ||||
\(291\) | 29.2542 | − | 1.61799i | 1.71491 | − | 0.0948485i | ||||
\(292\) | −10.6419 | − | 10.6419i | −0.622773 | − | 0.622773i | ||||
\(293\) | 1.83330 | + | 1.83330i | 0.107103 | + | 0.107103i | 0.758627 | − | 0.651525i | \(-0.225870\pi\) |
−0.651525 | + | 0.758627i | \(0.725870\pi\) | |||||||
\(294\) | −1.57199 | − | 2.40539i | −0.0916801 | − | 0.140285i | ||||
\(295\) | −8.70329 | − | 15.0745i | −0.506725 | − | 0.877674i | ||||
\(296\) | 2.98760 | + | 5.17467i | 0.173651 | + | 0.300772i | ||||
\(297\) | −0.747921 | − | 4.47080i | −0.0433988 | − | 0.259422i | ||||
\(298\) | − | 20.7830i | − | 1.20393i | ||||||
\(299\) | −11.7943 | + | 6.50100i | −0.682080 | + | 0.375962i | ||||
\(300\) | −8.41717 | − | 1.76370i | −0.485966 | − | 0.101827i | ||||
\(301\) | 18.0086 | − | 4.82538i | 1.03800 | − | 0.278131i | ||||
\(302\) | −6.38335 | − | 3.68543i | −0.367321 | − | 0.212073i | ||||
\(303\) | −2.78780 | − | 8.49630i | −0.160155 | − | 0.488099i | ||||
\(304\) | 4.90132 | − | 1.31331i | 0.281110 | − | 0.0753232i | ||||
\(305\) | −5.20366 | − | 19.4203i | −0.297961 | − | 1.11200i | ||||
\(306\) | −8.43644 | − | 6.75127i | −0.482279 | − | 0.385945i | ||||
\(307\) | 0.409589 | − | 0.409589i | 0.0233765 | − | 0.0233765i | −0.695322 | − | 0.718698i | \(-0.744738\pi\) |
0.718698 | + | 0.695322i | \(0.244738\pi\) | |||||||
\(308\) | −2.22311 | + | 1.28351i | −0.126674 | + | 0.0731350i | ||||
\(309\) | 11.9091 | + | 10.6608i | 0.677483 | + | 0.606470i | ||||
\(310\) | −4.20062 | − | 15.6769i | −0.238579 | − | 0.890389i | ||||
\(311\) | 8.67641 | + | 15.0280i | 0.491994 | + | 0.852159i | 0.999957 | − | 0.00921998i | \(-0.00293485\pi\) |
−0.507963 | + | 0.861379i | \(0.669602\pi\) | |||||||
\(312\) | 5.29437 | − | 3.31205i | 0.299735 | − | 0.187508i | ||||
\(313\) | 12.3328 | − | 21.3610i | 0.697089 | − | 1.20739i | −0.272382 | − | 0.962189i | \(-0.587812\pi\) |
0.969471 | − | 0.245205i | \(-0.0788552\pi\) | |||||||
\(314\) | −10.0653 | − | 2.69700i | −0.568020 | − | 0.152200i | ||||
\(315\) | −27.6976 | + | 3.07320i | −1.56058 | + | 0.173155i | ||||
\(316\) | 2.26329 | + | 1.30671i | 0.127320 | + | 0.0735082i | ||||
\(317\) | 6.46561 | + | 24.1300i | 0.363145 | + | 1.35528i | 0.869918 | + | 0.493196i | \(0.164172\pi\) |
−0.506773 | + | 0.862080i | \(0.669162\pi\) | |||||||
\(318\) | 5.26276 | − | 10.4030i | 0.295121 | − | 0.583372i | ||||
\(319\) | 5.30460 | − | 5.30460i | 0.297000 | − | 0.297000i | ||||
\(320\) | −0.817032 | + | 3.04921i | −0.0456735 | + | 0.170456i | ||||
\(321\) | −0.313583 | − | 0.280713i | −0.0175025 | − | 0.0156679i | ||||
\(322\) | − | 10.9911i | − | 0.612512i | ||||||
\(323\) | 4.73019 | − | 17.6533i | 0.263195 | − | 0.982257i | ||||
\(324\) | −8.59111 | − | 2.68196i | −0.477284 | − | 0.148998i | ||||
\(325\) | −8.64188 | − | 15.6783i | −0.479365 | − | 0.869675i | ||||
\(326\) | 5.90679 | + | 3.41028i | 0.327147 | + | 0.188878i | ||||
\(327\) | 3.18418 | − | 6.29424i | 0.176086 | − | 0.348072i | ||||
\(328\) | 5.46207 | − | 9.46058i | 0.301592 | − | 0.522373i | ||||
\(329\) | 18.6087 | 1.02593 | ||||||||
\(330\) | 0.263406 | + | 4.76252i | 0.0145000 | + | 0.262168i | ||||
\(331\) | 8.32961 | − | 31.0865i | 0.457837 | − | 1.70867i | −0.221775 | − | 0.975098i | \(-0.571185\pi\) |
0.679612 | − | 0.733572i | \(-0.262148\pi\) | |||||||
\(332\) | 11.0800 | − | 2.96889i | 0.608097 | − | 0.162939i | ||||
\(333\) | 16.6975 | − | 6.52064i | 0.915019 | − | 0.357329i | ||||
\(334\) | −6.88098 | + | 11.9182i | −0.376510 | + | 0.652135i | ||||
\(335\) | −26.1219 | −1.42719 | ||||||||
\(336\) | 0.281462 | + | 5.08899i | 0.0153550 | + | 0.277627i | ||||
\(337\) | 25.7601 | − | 14.8726i | 1.40324 | − | 0.810161i | 0.408516 | − | 0.912751i | \(-0.366046\pi\) |
0.994724 | + | 0.102590i | \(0.0327131\pi\) | |||||||
\(338\) | 12.4137 | + | 3.86000i | 0.675217 | + | 0.209956i | ||||
\(339\) | −5.03083 | + | 1.65072i | −0.273237 | + | 0.0896546i | ||||
\(340\) | 8.03972 | + | 8.03972i | 0.436015 | + | 0.436015i | ||||
\(341\) | −3.88419 | + | 2.24254i | −0.210341 | + | 0.121440i | ||||
\(342\) | −1.67874 | − | 15.1298i | −0.0907757 | − | 0.818127i | ||||
\(343\) | −11.1132 | − | 11.1132i | −0.600058 | − | 0.600058i | ||||
\(344\) | −6.11991 | − | 1.63983i | −0.329963 | − | 0.0884134i | ||||
\(345\) | −18.2234 | − | 9.21902i | −0.981117 | − | 0.496335i | ||||
\(346\) | 3.92173 | + | 1.05082i | 0.210833 | + | 0.0564927i | ||||
\(347\) | − | 33.9806i | − | 1.82418i | −0.409995 | − | 0.912088i | \(-0.634469\pi\) | ||
0.409995 | − | 0.912088i | \(-0.365531\pi\) | |||||||
\(348\) | −4.64366 | − | 14.1523i | −0.248926 | − | 0.758644i | ||||
\(349\) | −5.80406 | + | 5.80406i | −0.310684 | + | 0.310684i | −0.845175 | − | 0.534490i | \(-0.820504\pi\) |
0.534490 | + | 0.845175i | \(0.320504\pi\) | |||||||
\(350\) | 14.6107 | 0.780974 | ||||||||
\(351\) | −7.42875 | − | 17.1992i | −0.396517 | − | 0.918027i | ||||
\(352\) | 0.872362 | 0.0464970 | ||||||||
\(353\) | −11.0972 | + | 11.0972i | −0.590646 | + | 0.590646i | −0.937806 | − | 0.347160i | \(-0.887146\pi\) |
0.347160 | + | 0.937806i | \(0.387146\pi\) | |||||||
\(354\) | 2.97756 | + | 9.07460i | 0.158255 | + | 0.482309i | ||||
\(355\) | − | 20.2450i | − | 1.07449i | ||||||
\(356\) | −7.84455 | − | 2.10194i | −0.415760 | − | 0.111403i | ||||
\(357\) | 16.3805 | + | 8.28669i | 0.866947 | + | 0.438578i | ||||
\(358\) | −18.7513 | − | 5.02440i | −0.991038 | − | 0.265548i | ||||
\(359\) | −12.5155 | − | 12.5155i | −0.660544 | − | 0.660544i | 0.294964 | − | 0.955508i | \(-0.404692\pi\) |
−0.955508 | + | 0.294964i | \(0.904692\pi\) | |||||||
\(360\) | 8.67369 | + | 3.80182i | 0.457144 | + | 0.200373i | ||||
\(361\) | 5.84370 | − | 3.37386i | 0.307563 | − | 0.177572i | ||||
\(362\) | −0.0694981 | − | 0.0694981i | −0.00365274 | − | 0.00365274i | ||||
\(363\) | −16.8505 | + | 5.52900i | −0.884424 | + | 0.290197i | ||||
\(364\) | −7.64956 | + | 7.35197i | −0.400946 | + | 0.385348i | ||||
\(365\) | 41.1443 | − | 23.7547i | 2.15359 | − | 1.24338i | ||||
\(366\) | 0.609194 | + | 11.0146i | 0.0318431 | + | 0.575740i | ||||
\(367\) | 26.4242 | 1.37933 | 0.689666 | − | 0.724128i | \(-0.257757\pi\) | ||||
0.689666 | + | 0.724128i | \(0.257757\pi\) | |||||||
\(368\) | −1.86758 | + | 3.23474i | −0.0973541 | + | 0.168622i | ||||
\(369\) | −25.5878 | − | 20.4767i | −1.33205 | − | 1.06597i | ||||
\(370\) | −18.2196 | + | 4.88192i | −0.947191 | + | 0.253799i | ||||
\(371\) | −5.12638 | + | 19.1319i | −0.266148 | + | 0.993278i | ||||
\(372\) | 0.491768 | + | 8.89142i | 0.0254970 | + | 0.460999i | ||||
\(373\) | 22.6990 | 1.17531 | 0.587656 | − | 0.809111i | \(-0.300051\pi\) | ||||
0.587656 | + | 0.809111i | \(0.300051\pi\) | |||||||
\(374\) | 1.57101 | − | 2.72107i | 0.0812351 | − | 0.140703i | ||||
\(375\) | −0.0859078 | + | 0.169816i | −0.00443626 | + | 0.00876925i | ||||
\(376\) | −5.47662 | − | 3.16193i | −0.282435 | − | 0.163064i | ||||
\(377\) | 16.0324 | − | 26.5390i | 0.825711 | − | 1.36683i | ||||
\(378\) | 15.2198 | + | 1.46629i | 0.782824 | + | 0.0754176i | ||||
\(379\) | −2.62959 | + | 9.81377i | −0.135073 | + | 0.504100i | 0.864924 | + | 0.501902i | \(0.167366\pi\) |
−0.999998 | + | 0.00219770i | \(0.999300\pi\) | |||||||
\(380\) | 16.0181i | 0.821714i | ||||||||
\(381\) | −24.6735 | − | 22.0872i | −1.26406 | − | 1.13156i | ||||
\(382\) | 3.28627 | − | 12.2645i | 0.168140 | − | 0.627508i | ||||
\(383\) | −13.2359 | + | 13.2359i | −0.676323 | + | 0.676323i | −0.959166 | − | 0.282843i | \(-0.908722\pi\) |
0.282843 | + | 0.959166i | \(0.408722\pi\) | |||||||
\(384\) | 0.781868 | − | 1.54554i | 0.0398996 | − | 0.0788703i | ||||
\(385\) | −2.09735 | − | 7.82740i | −0.106891 | − | 0.398921i | ||||
\(386\) | 20.5493 | + | 11.8641i | 1.04593 | + | 0.603869i | ||||
\(387\) | −7.63044 | + | 17.4085i | −0.387877 | + | 0.884926i | ||||
\(388\) | 16.3393 | + | 4.37811i | 0.829505 | + | 0.222265i | ||||
\(389\) | 10.9802 | − | 19.0182i | 0.556716 | − | 0.964261i | −0.441051 | − | 0.897482i | \(-0.645394\pi\) |
0.997768 | − | 0.0667792i | \(-0.0212723\pi\) | |||||||
\(390\) | 5.77345 | + | 18.8497i | 0.292350 | + | 0.954490i | ||||
\(391\) | 6.72653 | + | 11.6507i | 0.340175 | + | 0.589201i | ||||
\(392\) | −0.429386 | − | 1.60249i | −0.0216873 | − | 0.0809380i | ||||
\(393\) | 15.9402 | + | 14.2694i | 0.804077 | + | 0.719794i | ||||
\(394\) | −4.62785 | + | 2.67189i | −0.233148 | + | 0.134608i | ||||
\(395\) | −5.83361 | + | 5.83361i | −0.293521 | + | 0.293521i | ||||
\(396\) | 0.394445 | − | 2.58719i | 0.0198216 | − | 0.130011i | ||||
\(397\) | 0.908301 | + | 3.38983i | 0.0455863 | + | 0.170130i | 0.984966 | − | 0.172748i | \(-0.0552647\pi\) |
−0.939380 | + | 0.342879i | \(0.888598\pi\) | |||||||
\(398\) | −8.30321 | + | 2.22484i | −0.416202 | + | 0.111521i | ||||
\(399\) | 8.06294 | + | 24.5731i | 0.403652 | + | 1.23020i | ||||
\(400\) | −4.29998 | − | 2.48260i | −0.214999 | − | 0.124130i | ||||
\(401\) | −2.43364 | + | 0.652092i | −0.121530 | + | 0.0325639i | −0.319071 | − | 0.947731i | \(-0.603371\pi\) |
0.197541 | + | 0.980295i | \(0.436704\pi\) | |||||||
\(402\) | 14.0279 | + | 2.93935i | 0.699648 | + | 0.146601i | ||||
\(403\) | −13.3652 | + | 12.8453i | −0.665769 | + | 0.639868i | ||||
\(404\) | − | 5.16265i | − | 0.256851i | ||||||
\(405\) | 15.1970 | − | 24.0048i | 0.755147 | − | 1.19281i | ||||
\(406\) | 12.6525 | + | 21.9147i | 0.627932 | + | 1.08761i | ||||
\(407\) | 2.60626 | + | 4.51418i | 0.129188 | + | 0.223760i | ||||
\(408\) | −3.41280 | − | 5.22212i | −0.168959 | − | 0.258533i | ||||
\(409\) | 12.1955 | + | 12.1955i | 0.603027 | + | 0.603027i | 0.941115 | − | 0.338087i | \(-0.109780\pi\) |
−0.338087 | + | 0.941115i | \(0.609780\pi\) | |||||||
\(410\) | 24.3846 | + | 24.3846i | 1.20427 | + | 1.20427i | ||||
\(411\) | −12.0245 | + | 0.665053i | −0.593126 | + | 0.0328046i | ||||
\(412\) | 4.61409 | + | 7.99184i | 0.227320 | + | 0.393730i | ||||
\(413\) | −8.11288 | − | 14.0519i | −0.399209 | − | 0.691450i | ||||
\(414\) | 8.74891 | + | 7.00133i | 0.429986 | + | 0.344097i | ||||
\(415\) | 36.2110i | 1.77753i | ||||||||
\(416\) | 3.50052 | − | 0.863928i | 0.171627 | − | 0.0423576i | ||||
\(417\) | 3.06782 | + | 9.34968i | 0.150232 | + | 0.457856i | ||||
\(418\) | 4.27572 | − | 1.14568i | 0.209133 | − | 0.0560369i | ||||
\(419\) | −16.2513 | − | 9.38271i | −0.793929 | − | 0.458375i | 0.0474148 | − | 0.998875i | \(-0.484902\pi\) |
−0.841344 | + | 0.540500i | \(0.818235\pi\) | |||||||
\(420\) | −15.7473 | − | 3.29963i | −0.768392 | − | 0.161006i | ||||
\(421\) | −23.1335 | + | 6.19861i | −1.12746 | + | 0.302102i | −0.773898 | − | 0.633310i | \(-0.781696\pi\) |
−0.353560 | + | 0.935412i | \(0.615029\pi\) | |||||||
\(422\) | −2.52128 | − | 9.40954i | −0.122734 | − | 0.458049i | ||||
\(423\) | −11.8537 | + | 14.8125i | −0.576348 | + | 0.720208i | ||||
\(424\) | 4.75954 | − | 4.75954i | 0.231144 | − | 0.231144i | ||||
\(425\) | −15.4874 | + | 8.94168i | −0.751252 | + | 0.433735i | ||||
\(426\) | −2.27805 | + | 10.8719i | −0.110372 | + | 0.526745i | ||||
\(427\) | −4.85065 | − | 18.1029i | −0.234740 | − | 0.876060i | ||||
\(428\) | −0.121496 | − | 0.210437i | −0.00587271 | − | 0.0101718i | ||||
\(429\) | 4.61860 | − | 2.88930i | 0.222988 | − | 0.139497i | ||||
\(430\) | 10.0003 | − | 17.3211i | 0.482259 | − | 0.835296i | ||||
\(431\) | −0.739992 | − | 0.198280i | −0.0356441 | − | 0.00955082i | 0.240953 | − | 0.970537i | \(-0.422540\pi\) |
−0.276597 | + | 0.960986i | \(0.589207\pi\) | |||||||
\(432\) | −4.23011 | − | 3.01764i | −0.203521 | − | 0.145186i | ||||
\(433\) | 12.3652 | + | 7.13904i | 0.594233 | + | 0.343080i | 0.766769 | − | 0.641923i | \(-0.221863\pi\) |
−0.172537 | + | 0.985003i | \(0.555196\pi\) | |||||||
\(434\) | −3.91565 | − | 14.6134i | −0.187957 | − | 0.701467i | ||||
\(435\) | 46.9474 | − | 2.59657i | 2.25095 | − | 0.124496i | ||||
\(436\) | 2.87971 | − | 2.87971i | 0.137913 | − | 0.137913i | ||||
\(437\) | −4.90539 | + | 18.3072i | −0.234657 | + | 0.875751i | ||||
\(438\) | −24.7681 | + | 8.12691i | −1.18347 | + | 0.388319i | ||||
\(439\) | 12.6884i | 0.605584i | 0.953057 | + | 0.302792i | \(0.0979187\pi\) | ||||
−0.953057 | + | 0.302792i | \(0.902081\pi\) | |||||||
\(440\) | −0.712747 | + | 2.66001i | −0.0339789 | + | 0.126811i | ||||
\(441\) | −4.94670 | + | 0.548865i | −0.235557 | + | 0.0261364i | ||||
\(442\) | 3.60922 | − | 12.4747i | 0.171673 | − | 0.593359i | ||||
\(443\) | 9.00475 | + | 5.19889i | 0.427828 | + | 0.247007i | 0.698421 | − | 0.715687i | \(-0.253886\pi\) |
−0.270593 | + | 0.962694i | \(0.587220\pi\) | |||||||
\(444\) | 10.3335 | − | 0.571529i | 0.490408 | − | 0.0271236i | ||||
\(445\) | 12.8185 | − | 22.2023i | 0.607655 | − | 1.05249i | ||||
\(446\) | 18.9820 | 0.898824 | ||||||||
\(447\) | −32.1209 | − | 16.2496i | −1.51926 | − | 0.768578i | ||||
\(448\) | −0.761606 | + | 2.84235i | −0.0359825 | + | 0.134289i | ||||
\(449\) | −8.91529 | + | 2.38885i | −0.420739 | + | 0.112737i | −0.462976 | − | 0.886371i | \(-0.653218\pi\) |
0.0422369 | + | 0.999108i | \(0.486552\pi\) | |||||||
\(450\) | −9.30698 | + | 11.6301i | −0.438735 | + | 0.548247i | ||||
\(451\) | 4.76490 | − | 8.25305i | 0.224370 | − | 0.388621i | ||||
\(452\) | −3.05691 | −0.143785 | ||||||||
\(453\) | −10.6869 | + | 6.98418i | −0.502115 | + | 0.328145i | ||||
\(454\) | −13.3965 | + | 7.73445i | −0.628727 | + | 0.362996i | ||||
\(455\) | −16.1677 | − | 29.3319i | −0.757955 | − | 1.37510i | ||||
\(456\) | 1.80243 | − | 8.60200i | 0.0844064 | − | 0.402826i | ||||
\(457\) | −6.15569 | − | 6.15569i | −0.287951 | − | 0.287951i | 0.548319 | − | 0.836270i | \(-0.315268\pi\) |
−0.836270 | + | 0.548319i | \(0.815268\pi\) | |||||||
\(458\) | −13.1282 | + | 7.57958i | −0.613441 | + | 0.354170i | ||||
\(459\) | −17.0305 | + | 7.76021i | −0.794917 | + | 0.362216i | ||||
\(460\) | −8.33750 | − | 8.33750i | −0.388738 | − | 0.388738i | ||||
\(461\) | 10.0949 | + | 2.70491i | 0.470165 | + | 0.125980i | 0.486119 | − | 0.873892i | \(-0.338412\pi\) |
−0.0159546 | + | 0.999873i | \(0.505079\pi\) | |||||||
\(462\) | 0.245537 | + | 4.43944i | 0.0114234 | + | 0.206541i | ||||
\(463\) | 5.41897 | + | 1.45201i | 0.251841 | + | 0.0674806i | 0.382531 | − | 0.923943i | \(-0.375053\pi\) |
−0.130690 | + | 0.991423i | \(0.541719\pi\) | |||||||
\(464\) | − | 8.59946i | − | 0.399220i | ||||||
\(465\) | −27.5136 | − | 5.76508i | −1.27591 | − | 0.267349i | ||||
\(466\) | −8.14087 | + | 8.14087i | −0.377118 | + | 0.377118i | ||||
\(467\) | 11.8737 | 0.549447 | 0.274724 | − | 0.961523i | \(-0.411414\pi\) | ||||
0.274724 | + | 0.961523i | \(0.411414\pi\) | |||||||
\(468\) | −0.979392 | − | 10.7722i | −0.0452724 | − | 0.497946i | ||||
\(469\) | −24.3499 | −1.12437 | ||||||||
\(470\) | 14.1159 | − | 14.1159i | 0.651120 | − | 0.651120i | ||||
\(471\) | −12.0381 | + | 13.4476i | −0.554685 | + | 0.619635i | ||||
\(472\) | 5.51405i | 0.253805i | ||||||||
\(473\) | −5.33877 | − | 1.43052i | −0.245477 | − | 0.0657754i | ||||
\(474\) | 3.78916 | − | 2.47632i | 0.174042 | − | 0.113741i | ||||
\(475\) | −24.3360 | − | 6.52081i | −1.11661 | − | 0.299195i | ||||
\(476\) | 7.49432 | + | 7.49432i | 0.343502 | + | 0.343502i | ||||
\(477\) | −11.9634 | − | 16.2676i | −0.547768 | − | 0.744841i | ||||
\(478\) | 3.48926 | − | 2.01453i | 0.159595 | − | 0.0921423i | ||||
\(479\) | 22.2164 | + | 22.2164i | 1.01509 | + | 1.01509i | 0.999884 | + | 0.0152087i | \(0.00484128\pi\) |
0.0152087 | + | 0.999884i | \(0.495159\pi\) | |||||||
\(480\) | 4.07385 | + | 3.64683i | 0.185945 | + | 0.166454i | ||||
\(481\) | 14.9287 | + | 15.5330i | 0.680689 | + | 0.708242i | ||||
\(482\) | −12.8261 | + | 7.40516i | −0.584213 | + | 0.337296i | ||||
\(483\) | −16.9872 | − | 8.59362i | −0.772944 | − | 0.391023i | ||||
\(484\) | −10.2390 | −0.465408 | ||||||||
\(485\) | −26.6995 | + | 46.2450i | −1.21236 | + | 2.09988i | ||||
\(486\) | −10.8622 | + | 11.1809i | −0.492718 | + | 0.507177i | ||||
\(487\) | −25.9413 | + | 6.95096i | −1.17551 | + | 0.314978i | −0.793145 | − | 0.609032i | \(-0.791558\pi\) |
−0.382368 | + | 0.924010i | \(0.624891\pi\) | |||||||
\(488\) | −1.64841 | + | 6.15196i | −0.0746201 | + | 0.278486i | ||||
\(489\) | 9.88905 | − | 6.46276i | 0.447198 | − | 0.292256i | ||||
\(490\) | 5.23714 | 0.236590 | ||||||||
\(491\) | 1.33729 | − | 2.31626i | 0.0603512 | − | 0.104531i | −0.834271 | − | 0.551354i | \(-0.814111\pi\) |
0.894622 | + | 0.446823i | \(0.147445\pi\) | |||||||
\(492\) | −10.3511 | − | 15.8388i | −0.466662 | − | 0.714066i | ||||
\(493\) | −26.8235 | − | 15.4865i | −1.20807 | − | 0.697478i | ||||
\(494\) | 16.0226 | − | 8.83164i | 0.720889 | − | 0.397354i | ||||
\(495\) | 7.56660 | + | 3.31656i | 0.340093 | + | 0.149068i | ||||
\(496\) | −1.33067 | + | 4.96612i | −0.0597488 | + | 0.222986i | ||||
\(497\) | − | 18.8716i | − | 0.846509i | ||||||
\(498\) | 4.07461 | − | 19.4459i | 0.182588 | − | 0.871392i | ||||
\(499\) | −1.15780 | + | 4.32098i | −0.0518304 | + | 0.193434i | −0.986987 | − | 0.160802i | \(-0.948592\pi\) |
0.935156 | + | 0.354235i | \(0.115259\pi\) | |||||||
\(500\) | −0.0776933 | + | 0.0776933i | −0.00347455 | + | 0.00347455i | ||||
\(501\) | 13.0400 | + | 19.9533i | 0.582584 | + | 0.891446i | ||||
\(502\) | −1.02638 | − | 3.83049i | −0.0458094 | − | 0.170963i | ||||
\(503\) | 35.5709 | + | 20.5369i | 1.58603 | + | 0.915694i | 0.993952 | + | 0.109812i | \(0.0350249\pi\) |
0.592076 | + | 0.805882i | \(0.298308\pi\) | |||||||
\(504\) | 8.08529 | + | 3.54391i | 0.360147 | + | 0.157858i | ||||
\(505\) | 15.7420 | + | 4.21805i | 0.700509 | + | 0.187701i | ||||
\(506\) | −1.62920 | + | 2.82186i | −0.0724268 | + | 0.125447i | ||||
\(507\) | 15.6717 | − | 16.1678i | 0.696003 | − | 0.718039i | ||||
\(508\) | −9.55958 | − | 16.5577i | −0.424138 | − | 0.734628i | ||||
\(509\) | −2.46519 | − | 9.20021i | −0.109268 | − | 0.407792i | 0.889527 | − | 0.456883i | \(-0.151034\pi\) |
−0.998794 | + | 0.0490909i | \(0.984368\pi\) | |||||||
\(510\) | 18.7117 | − | 6.13968i | 0.828567 | − | 0.271869i | ||||
\(511\) | 38.3531 | − | 22.1432i | 1.69664 | − | 0.979557i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −24.6962 | − | 9.23497i | −1.09037 | − | 0.407734i | ||||
\(514\) | 3.58617 | + | 13.3838i | 0.158179 | + | 0.590333i | ||||
\(515\) | −28.1386 | + | 7.53972i | −1.23994 | + | 0.332240i | ||||
\(516\) | −7.31937 | + | 8.17642i | −0.322217 | + | 0.359947i | ||||
\(517\) | −4.77760 | − | 2.75835i | −0.210118 | − | 0.121312i | ||||
\(518\) | −16.9836 | + | 4.55075i | −0.746217 | + | 0.199948i | ||||
\(519\) | 4.69036 | − | 5.23957i | 0.205884 | − | 0.229991i | ||||
\(520\) | −0.225741 | + | 11.3797i | −0.00989939 | + | 0.499031i | ||||
\(521\) | 8.13120i | 0.356234i | 0.984009 | + | 0.178117i | \(0.0570006\pi\) | ||||
−0.984009 | + | 0.178117i | \(0.942999\pi\) | |||||||
\(522\) | −25.5037 | − | 3.88831i | −1.11627 | − | 0.170187i | ||||
\(523\) | 18.9364 | + | 32.7988i | 0.828031 | + | 1.43419i | 0.899580 | + | 0.436755i | \(0.143872\pi\) |
−0.0715491 | + | 0.997437i | \(0.522794\pi\) | |||||||
\(524\) | 6.17593 | + | 10.6970i | 0.269797 | + | 0.467302i | ||||
\(525\) | 11.4236 | − | 22.5813i | 0.498568 | − | 0.985531i | ||||
\(526\) | 11.3284 | + | 11.3284i | 0.493940 | + | 0.493940i | ||||
\(527\) | 13.0940 | + | 13.0940i | 0.570383 | + | 0.570383i | ||||
\(528\) | 0.682072 | − | 1.34827i | 0.0296834 | − | 0.0586758i | ||||
\(529\) | 4.52432 | + | 7.83636i | 0.196710 | + | 0.340711i | ||||
\(530\) | 10.6241 | + | 18.4015i | 0.461482 | + | 0.799310i | ||||
\(531\) | 16.3532 | + | 2.49322i | 0.709667 | + | 0.108196i | ||||
\(532\) | 14.9315i | 0.647363i | ||||||||
\(533\) | 10.9468 | − | 37.8358i | 0.474159 | − | 1.63885i | ||||
\(534\) | −9.38203 | + | 10.4806i | −0.406000 | + | 0.453540i | ||||
\(535\) | 0.740930 | − | 0.198532i | 0.0320332 | − | 0.00858327i | ||||
\(536\) | 7.16627 | + | 4.13745i | 0.309536 | + | 0.178711i | ||||
\(537\) | −22.4265 | + | 25.0524i | −0.967773 | + | 1.08109i | ||||
\(538\) | 2.12544 | − | 0.569509i | 0.0916341 | − | 0.0245533i | ||||
\(539\) | −0.374580 | − | 1.39795i | −0.0161343 | − | 0.0602140i | ||||
\(540\) | 12.6575 | − | 10.4330i | 0.544693 | − | 0.448964i | ||||
\(541\) | −9.80824 | + | 9.80824i | −0.421689 | + | 0.421689i | −0.885785 | − | 0.464096i | \(-0.846379\pi\) |
0.464096 | + | 0.885785i | \(0.346379\pi\) | |||||||
\(542\) | −5.35100 | + | 3.08940i | −0.229845 | + | 0.132701i | ||||
\(543\) | −0.161750 | + | 0.0530734i | −0.00694136 | + | 0.00227760i | ||||
\(544\) | −0.932200 | − | 3.47902i | −0.0399678 | − | 0.149162i | ||||
\(545\) | 6.42802 | + | 11.1337i | 0.275346 | + | 0.476914i | ||||
\(546\) | 5.38179 | + | 17.5709i | 0.230319 | + | 0.751967i | ||||
\(547\) | −18.8226 | + | 32.6018i | −0.804798 | + | 1.39395i | 0.111629 | + | 0.993750i | \(0.464393\pi\) |
−0.916427 | + | 0.400201i | \(0.868940\pi\) | |||||||
\(548\) | −6.71605 | − | 1.79956i | −0.286895 | − | 0.0768734i | ||||
\(549\) | 17.4997 | + | 7.67040i | 0.746869 | + | 0.327365i | ||||
\(550\) | −3.75114 | − | 2.16572i | −0.159949 | − | 0.0923467i | ||||
\(551\) | −11.2937 | − | 42.1487i | −0.481128 | − | 1.79559i | ||||
\(552\) | 3.53920 | + | 5.41554i | 0.150638 | + | 0.230501i | ||||
\(553\) | −5.43787 | + | 5.43787i | −0.231242 | + | 0.231242i | ||||
\(554\) | 5.28525 | − | 19.7248i | 0.224549 | − | 0.838028i | ||||
\(555\) | −6.70013 | + | 31.9761i | −0.284405 | + | 1.35731i | ||||
\(556\) | 5.68120i | 0.240937i | ||||||||
\(557\) | −8.83844 | + | 32.9855i | −0.374497 | + | 1.39764i | 0.479582 | + | 0.877497i | \(0.340788\pi\) |
−0.854079 | + | 0.520143i | \(0.825878\pi\) | |||||||
\(558\) | 14.1265 | + | 6.19188i | 0.598023 | + | 0.262123i | ||||
\(559\) | −22.8396 | − | 0.453073i | −0.966010 | − | 0.0191630i | ||||
\(560\) | −8.04466 | − | 4.64459i | −0.339949 | − | 0.196270i | ||||
\(561\) | −2.97719 | − | 4.55558i | −0.125697 | − | 0.192337i | ||||
\(562\) | 10.3869 | − | 17.9906i | 0.438145 | − | 0.758889i | ||||
\(563\) | −29.5035 | −1.24343 | −0.621713 | − | 0.783245i | \(-0.713563\pi\) | ||||
−0.621713 | + | 0.783245i | \(0.713563\pi\) | |||||||
\(564\) | −9.16887 | + | 5.99211i | −0.386079 | + | 0.252313i | ||||
\(565\) | 2.49759 | − | 9.32115i | 0.105075 | − | 0.392144i | ||||
\(566\) | −23.2833 | + | 6.23874i | −0.978670 | + | 0.262234i | ||||
\(567\) | 14.1661 | − | 22.3764i | 0.594921 | − | 0.939719i | ||||
\(568\) | −3.20660 | + | 5.55400i | −0.134546 | + | 0.233041i | ||||
\(569\) | 14.7196 | 0.617076 | 0.308538 | − | 0.951212i | \(-0.400160\pi\) | ||||
0.308538 | + | 0.951212i | \(0.400160\pi\) | |||||||
\(570\) | 24.7566 | + | 12.5241i | 1.03694 | + | 0.524576i | ||||
\(571\) | 16.5923 | − | 9.57956i | 0.694365 | − | 0.400892i | −0.110880 | − | 0.993834i | \(-0.535367\pi\) |
0.805245 | + | 0.592942i | \(0.202034\pi\) | |||||||
\(572\) | 3.05372 | − | 0.753658i | 0.127682 | − | 0.0315120i | ||||
\(573\) | −16.3858 | − | 14.6683i | −0.684528 | − | 0.612777i | ||||
\(574\) | 22.7304 | + | 22.7304i | 0.948748 | + | 0.948748i | ||||
\(575\) | 16.0611 | − | 9.27287i | 0.669794 | − | 0.386706i | ||||
\(576\) | −1.77736 | − | 2.41681i | −0.0740568 | − | 0.100700i | ||||
\(577\) | 0.887796 | + | 0.887796i | 0.0369594 | + | 0.0369594i | 0.725345 | − | 0.688386i | \(-0.241680\pi\) |
−0.688386 | + | 0.725345i | \(0.741680\pi\) | |||||||
\(578\) | 3.89020 | + | 1.04237i | 0.161811 | + | 0.0433571i | ||||
\(579\) | 34.4033 | − | 22.4835i | 1.42975 | − | 0.934382i | ||||
\(580\) | 26.2215 | + | 7.02603i | 1.08879 | + | 0.291740i | ||||
\(581\) | 33.7545i | 1.40037i | ||||||||
\(582\) | 19.5418 | − | 21.8299i | 0.810032 | − | 0.904880i | ||||
\(583\) | 4.15204 | − | 4.15204i | 0.171960 | − | 0.171960i | ||||
\(584\) | −15.0500 | −0.622773 | ||||||||
\(585\) | 33.6469 | + | 5.81489i | 1.39113 | + | 0.240416i | ||||
\(586\) | 2.59268 | 0.107103 | ||||||||
\(587\) | −7.08404 | + | 7.08404i | −0.292390 | + | 0.292390i | −0.838024 | − | 0.545634i | \(-0.816289\pi\) |
0.545634 | + | 0.838024i | \(0.316289\pi\) | |||||||
\(588\) | −2.81243 | − | 0.589305i | −0.115983 | − | 0.0243025i | ||||
\(589\) | 26.0881i | 1.07494i | ||||||||
\(590\) | −16.8135 | − | 4.50515i | −0.692199 | − | 0.185474i | ||||
\(591\) | 0.511134 | + | 9.24157i | 0.0210252 | + | 0.380147i | ||||
\(592\) | 5.77159 | + | 1.54649i | 0.237211 | + | 0.0635605i | ||||
\(593\) | 26.1095 | + | 26.1095i | 1.07219 | + | 1.07219i | 0.997183 | + | 0.0750069i | \(0.0238979\pi\) |
0.0750069 | + | 0.997183i | \(0.476102\pi\) | |||||||
\(594\) | −3.69019 | − | 2.63247i | −0.151410 | − | 0.108012i | ||||
\(595\) | −28.9748 | + | 16.7286i | −1.18785 | + | 0.685807i | ||||
\(596\) | −14.6958 | − | 14.6958i | −0.601963 | − | 0.601963i | ||||
\(597\) | −3.05345 | + | 14.5724i | −0.124969 | + | 0.596410i | ||||
\(598\) | −3.74290 | + | 12.9367i | −0.153059 | + | 0.529021i | ||||
\(599\) | 6.17074 | − | 3.56268i | 0.252130 | − | 0.145567i | −0.368609 | − | 0.929584i | \(-0.620166\pi\) |
0.620739 | + | 0.784017i | \(0.286833\pi\) | |||||||
\(600\) | −7.19896 | + | 4.70472i | −0.293896 | + | 0.192069i | ||||
\(601\) | −3.21196 | −0.131018 | −0.0655092 | − | 0.997852i | \(-0.520867\pi\) | ||||
−0.0655092 | + | 0.997852i | \(0.520867\pi\) | |||||||
\(602\) | 9.32193 | − | 16.1461i | 0.379933 | − | 0.658064i | ||||
\(603\) | 15.5108 | − | 19.3824i | 0.631650 | − | 0.789314i | ||||
\(604\) | −7.11970 | + | 1.90772i | −0.289697 | + | 0.0776240i | ||||
\(605\) | 8.36558 | − | 31.2208i | 0.340109 | − | 1.26930i | ||||
\(606\) | −7.97906 | − | 4.03651i | −0.324127 | − | 0.163972i | ||||
\(607\) | −41.3322 | −1.67762 | −0.838812 | − | 0.544421i | \(-0.816749\pi\) | ||||
−0.838812 | + | 0.544421i | \(0.816749\pi\) | |||||||
\(608\) | 2.53711 | − | 4.39440i | 0.102893 | − | 0.178217i | ||||
\(609\) | 43.7626 | − | 2.42042i | 1.77335 | − | 0.0980805i | ||||
\(610\) | −17.4118 | − | 10.0527i | −0.704982 | − | 0.407022i | ||||
\(611\) | −21.9027 | − | 6.33698i | −0.886088 | − | 0.256367i | ||||
\(612\) | −10.7393 | + | 1.19159i | −0.434112 | + | 0.0481671i | ||||
\(613\) | 5.73651 | − | 21.4090i | 0.231695 | − | 0.864699i | −0.747915 | − | 0.663794i | \(-0.768945\pi\) |
0.979611 | − | 0.200905i | \(-0.0643883\pi\) | |||||||
\(614\) | − | 0.579246i | − | 0.0233765i | ||||||
\(615\) | 56.7528 | − | 18.6217i | 2.28849 | − | 0.750900i | ||||
\(616\) | −0.664396 | + | 2.47956i | −0.0267693 | + | 0.0999043i | ||||
\(617\) | −15.7837 | + | 15.7837i | −0.635428 | + | 0.635428i | −0.949424 | − | 0.313997i | \(-0.898332\pi\) |
0.313997 | + | 0.949424i | \(0.398332\pi\) | |||||||
\(618\) | 15.9593 | − | 0.882678i | 0.641977 | − | 0.0355065i | ||||
\(619\) | −4.30594 | − | 16.0700i | −0.173070 | − | 0.645907i | −0.996872 | − | 0.0790293i | \(-0.974818\pi\) |
0.823802 | − | 0.566878i | \(-0.191849\pi\) | |||||||
\(620\) | −14.0555 | − | 8.11497i | −0.564484 | − | 0.325905i | ||||
\(621\) | 17.6613 | − | 8.04764i | 0.708724 | − | 0.322941i | ||||
\(622\) | 16.7615 | + | 4.49124i | 0.672076 | + | 0.180082i | ||||
\(623\) | 11.9489 | − | 20.6961i | 0.478723 | − | 0.829173i | ||||
\(624\) | 1.40171 | − | 6.08566i | 0.0561134 | − | 0.243621i | ||||
\(625\) | −12.5864 | − | 21.8003i | −0.503456 | − | 0.872012i | ||||
\(626\) | −6.38391 | − | 23.8251i | −0.255152 | − | 0.952241i | ||||
\(627\) | 1.57237 | − | 7.50405i | 0.0627943 | − | 0.299683i | ||||
\(628\) | −9.02434 | + | 5.21020i | −0.360110 | + | 0.207910i | ||||
\(629\) | 15.2177 | − | 15.2177i | 0.606771 | − | 0.606771i | ||||
\(630\) | −17.4121 | + | 21.7582i | −0.693713 | + | 0.866868i | ||||
\(631\) | −3.53536 | − | 13.1942i | −0.140741 | − | 0.525251i | −0.999908 | − | 0.0135565i | \(-0.995685\pi\) |
0.859168 | − | 0.511694i | \(-0.170982\pi\) | |||||||
\(632\) | 2.52437 | − | 0.676403i | 0.100414 | − | 0.0269059i | ||||
\(633\) | −16.5141 | − | 3.46029i | −0.656376 | − | 0.137534i | ||||
\(634\) | 21.6344 | + | 12.4906i | 0.859211 | + | 0.496065i | ||||
\(635\) | 58.2982 | − | 15.6210i | 2.31350 | − | 0.619899i | ||||
\(636\) | −3.63471 | − | 11.0774i | −0.144125 | − | 0.439246i | ||||
\(637\) | −2.88751 | − | 5.23859i | −0.114407 | − | 0.207560i | ||||
\(638\) | − | 7.50184i | − | 0.297000i | ||||||
\(639\) | 15.0218 | + | 12.0212i | 0.594252 | + | 0.475552i | ||||
\(640\) | 1.57838 | + | 2.73384i | 0.0623911 | + | 0.108065i | ||||
\(641\) | −11.0893 | − | 19.2072i | −0.438000 | − | 0.758638i | 0.559535 | − | 0.828807i | \(-0.310980\pi\) |
−0.997535 | + | 0.0701685i | \(0.977646\pi\) | |||||||
\(642\) | −0.420231 | + | 0.0232422i | −0.0165852 | + | 0.000917295i | ||||
\(643\) | 6.53919 | + | 6.53919i | 0.257881 | + | 0.257881i | 0.824192 | − | 0.566311i | \(-0.191630\pi\) |
−0.566311 | + | 0.824192i | \(0.691630\pi\) | |||||||
\(644\) | −7.77191 | − | 7.77191i | −0.306256 | − | 0.306256i | ||||
\(645\) | −18.9514 | − | 28.9987i | −0.746211 | − | 1.14182i | ||||
\(646\) | −9.13803 | − | 15.8275i | −0.359531 | − | 0.622726i | ||||
\(647\) | −8.23841 | − | 14.2694i | −0.323886 | − | 0.560986i | 0.657401 | − | 0.753541i | \(-0.271656\pi\) |
−0.981286 | + | 0.192555i | \(0.938323\pi\) | |||||||
\(648\) | −7.97126 | + | 4.17840i | −0.313141 | + | 0.164143i | ||||
\(649\) | 4.81024i | 0.188819i | ||||||||
\(650\) | −17.1970 | − | 4.97550i | −0.674520 | − | 0.195155i | ||||
\(651\) | −25.6471 | − | 5.37399i | −1.00519 | − | 0.210623i | ||||
\(652\) | 6.58816 | − | 1.76529i | 0.258012 | − | 0.0691342i | ||||
\(653\) | 29.3351 | + | 16.9366i | 1.14797 | + | 0.662781i | 0.948392 | − | 0.317101i | \(-0.102709\pi\) |
0.199579 | + | 0.979882i | \(0.436043\pi\) | |||||||
\(654\) | −2.19915 | − | 6.70226i | −0.0859934 | − | 0.262079i | ||||
\(655\) | −37.6633 | + | 10.0919i | −1.47163 | + | 0.394322i | ||||
\(656\) | −2.82738 | − | 10.5519i | −0.110390 | − | 0.411983i | ||||
\(657\) | −6.80496 | + | 44.6342i | −0.265487 | + | 1.74134i | ||||
\(658\) | 13.1584 | − | 13.1584i | 0.512966 | − | 0.512966i | ||||
\(659\) | 8.33425 | − | 4.81178i | 0.324656 | − | 0.187440i | −0.328810 | − | 0.944396i | \(-0.606648\pi\) |
0.653466 | + | 0.756956i | \(0.273314\pi\) | |||||||
\(660\) | 3.55387 | + | 3.18135i | 0.138334 | + | 0.123834i | ||||
\(661\) | 6.81782 | + | 25.4445i | 0.265182 | + | 0.989675i | 0.962139 | + | 0.272561i | \(0.0878706\pi\) |
−0.696956 | + | 0.717114i | \(0.745463\pi\) | |||||||
\(662\) | −16.0916 | − | 27.8714i | −0.625417 | − | 1.08325i | ||||
\(663\) | −16.4581 | − | 15.3317i | −0.639179 | − | 0.595435i | ||||
\(664\) | 5.73546 | − | 9.93410i | 0.222579 | − | 0.385518i | ||||
\(665\) | −45.5292 | − | 12.1995i | −1.76555 | − | 0.473077i | ||||
\(666\) | 7.19615 | − | 16.4177i | 0.278845 | − | 0.636174i | ||||
\(667\) | 27.8170 | + | 16.0601i | 1.07708 | + | 0.621851i | ||||
\(668\) | 3.56186 | + | 13.2930i | 0.137812 | + | 0.514323i | ||||
\(669\) | 14.8414 | − | 29.3374i | 0.573803 | − | 1.13425i | ||||
\(670\) | −18.4710 | + | 18.4710i | −0.713597 | + | 0.713597i | ||||
\(671\) | −1.43801 | + | 5.36673i | −0.0555138 | + | 0.207180i | ||||
\(672\) | 3.79748 | + | 3.39944i | 0.146491 | + | 0.131136i | ||||
\(673\) | − | 5.36459i | − | 0.206790i | −0.994640 | − | 0.103395i | \(-0.967029\pi\) | ||
0.994640 | − | 0.103395i | \(-0.0329706\pi\) | |||||||
\(674\) | 7.69861 | − | 28.7316i | 0.296539 | − | 1.10670i | ||||
\(675\) | 10.6979 | + | 23.4775i | 0.411761 | + | 0.903648i | ||||
\(676\) | 11.5073 | − | 6.04839i | 0.442587 | − | 0.232631i | ||||
\(677\) | −6.42329 | − | 3.70849i | −0.246867 | − | 0.142529i | 0.371462 | − | 0.928448i | \(-0.378857\pi\) |
−0.618329 | + | 0.785919i | \(0.712190\pi\) | |||||||
\(678\) | −2.39010 | + | 4.72457i | −0.0917913 | + | 0.181446i | ||||
\(679\) | −24.8883 | + | 43.1078i | −0.955125 | + | 1.65433i | ||||
\(680\) | 11.3699 | 0.436015 | ||||||||
\(681\) | 1.47960 | + | 26.7520i | 0.0566985 | + | 1.02514i | ||||
\(682\) | −1.16082 | + | 4.33226i | −0.0444503 | + | 0.165891i | ||||
\(683\) | 17.3967 | − | 4.66144i | 0.665668 | − | 0.178365i | 0.0898653 | − | 0.995954i | \(-0.471356\pi\) |
0.575803 | + | 0.817589i | \(0.304690\pi\) | |||||||
\(684\) | −11.8854 | − | 9.51135i | −0.454451 | − | 0.363675i | ||||
\(685\) | 10.9745 | − | 19.0083i | 0.419312 | − | 0.726270i | ||||
\(686\) | −15.7165 | −0.600058 | ||||||||
\(687\) | 1.44998 | + | 26.2164i | 0.0553201 | + | 1.00022i | ||||
\(688\) | −5.48696 | + | 3.16790i | −0.209188 | + | 0.120775i | ||||
\(689\) | 12.5489 | − | 20.7727i | 0.478077 | − | 0.791379i | ||||
\(690\) | −19.4047 | + | 6.36708i | −0.738726 | + | 0.242391i | ||||
\(691\) | 11.2660 | + | 11.2660i | 0.428581 | + | 0.428581i | 0.888145 | − | 0.459564i | \(-0.151994\pi\) |
−0.459564 | + | 0.888145i | \(0.651994\pi\) | |||||||
\(692\) | 3.51613 | − | 2.03004i | 0.133663 | − | 0.0771704i | ||||
\(693\) | 7.05329 | + | 3.09157i | 0.267932 | + | 0.117439i | ||||
\(694\) | −24.0279 | − | 24.0279i | −0.912088 | − | 0.912088i | ||||
\(695\) | −17.3231 | − | 4.64172i | −0.657104 | − | 0.176071i | ||||
\(696\) | −13.2908 | − | 6.72364i | −0.503785 | − | 0.254859i | ||||
\(697\) | −38.0053 | − | 10.1835i | −1.43955 | − | 0.385727i | ||||
\(698\) | 8.20818i | 0.310684i | ||||||||
\(699\) | 6.21692 | + | 18.9471i | 0.235145 | + | 0.716645i | ||||
\(700\) | 10.3313 | − | 10.3313i | 0.390487 | − | 0.390487i | ||||
\(701\) | −10.3675 | −0.391576 | −0.195788 | − | 0.980646i | \(-0.562726\pi\) | ||||
−0.195788 | + | 0.980646i | \(0.562726\pi\) | |||||||
\(702\) | −17.4146 | − | 6.90877i | −0.657272 | − | 0.260755i | ||||
\(703\) | 30.3195 | 1.14352 | ||||||||
\(704\) | 0.616853 | − | 0.616853i | 0.0232485 | − | 0.0232485i | ||||
\(705\) | −10.7799 | − | 32.8535i | −0.405994 | − | 1.23734i | ||||
\(706\) | 15.6939i | 0.590646i | ||||||||
\(707\) | 14.6741 | + | 3.93191i | 0.551876 | + | 0.147875i | ||||
\(708\) | 8.52216 | + | 4.31126i | 0.320282 | + | 0.162027i | ||||
\(709\) | 22.1814 | + | 5.94348i | 0.833038 | + | 0.223212i | 0.650039 | − | 0.759901i | \(-0.274753\pi\) |
0.182999 | + | 0.983113i | \(0.441419\pi\) | |||||||
\(710\) | −14.3154 | − | 14.3154i | −0.537247 | − | 0.537247i | ||||
\(711\) | −0.864615 | − | 7.79244i | −0.0324256 | − | 0.292239i | ||||
\(712\) | −7.03323 | + | 4.06064i | −0.263582 | + | 0.152179i | ||||
\(713\) | −13.5790 | − | 13.5790i | −0.508537 | − | 0.508537i | ||||
\(714\) | 17.4423 | − | 5.72317i | 0.652762 | − | 0.214184i | ||||
\(715\) | −0.196928 | + | 9.92717i | −0.00736467 | + | 0.371255i | ||||
\(716\) | −16.8120 | + | 9.70640i | −0.628293 | + | 0.362745i | ||||
\(717\) | −0.385380 | − | 6.96787i | −0.0143923 | − | 0.260220i | ||||
\(718\) | −17.6996 | −0.660544 | ||||||||
\(719\) | −25.3323 | + | 43.8768i | −0.944735 | + | 1.63633i | −0.188454 | + | 0.982082i | \(0.560348\pi\) |
−0.756281 | + | 0.654247i | \(0.772986\pi\) | |||||||
\(720\) | 8.82152 | − | 3.44493i | 0.328759 | − | 0.128385i | ||||
\(721\) | −26.2298 | + | 7.02824i | −0.976847 | + | 0.261745i | ||||
\(722\) | 1.74644 | − | 6.51780i | 0.0649957 | − | 0.242567i | ||||
\(723\) | 1.41661 | + | 25.6131i | 0.0526843 | + | 0.952560i | ||||
\(724\) | −0.0982851 | −0.00365274 | ||||||||
\(725\) | −21.3490 | + | 36.9775i | −0.792881 | + | 1.37331i | ||||
\(726\) | −8.00554 | + | 15.8247i | −0.297113 | + | 0.587311i | ||||
\(727\) | −26.9809 | − | 15.5774i | −1.00067 | − | 0.577734i | −0.0922201 | − | 0.995739i | \(-0.529396\pi\) |
−0.908445 | + | 0.418004i | \(0.862730\pi\) | |||||||
\(728\) | −0.210427 | + | 10.6077i | −0.00779894 | + | 0.393147i | ||||
\(729\) | 8.78774 | + | 25.5299i | 0.325472 | + | 0.945552i | ||||
\(730\) | 12.2963 | − | 45.8905i | 0.455107 | − | 1.69848i | ||||
\(731\) | 22.8199i | 0.844026i | ||||||||
\(732\) | 8.21923 | + | 7.35770i | 0.303792 | + | 0.271948i | ||||
\(733\) | 1.99422 | − | 7.44254i | 0.0736583 | − | 0.274896i | −0.919267 | − | 0.393634i | \(-0.871218\pi\) |
0.992926 | + | 0.118737i | \(0.0378846\pi\) | |||||||
\(734\) | 18.6847 | − | 18.6847i | 0.689666 | − | 0.689666i | ||||
\(735\) | 4.09476 | − | 8.09420i | 0.151037 | − | 0.298559i | ||||
\(736\) | 0.966728 | + | 3.60788i | 0.0356341 | + | 0.132988i | ||||
\(737\) | 6.25158 | + | 3.60935i | 0.230280 | + | 0.132952i | ||||
\(738\) | −32.5725 | + | 3.61411i | −1.19901 | + | 0.133037i | ||||
\(739\) | 9.13725 | + | 2.44832i | 0.336119 | + | 0.0900629i | 0.422931 | − | 0.906162i | \(-0.361001\pi\) |
−0.0868119 | + | 0.996225i | \(0.527668\pi\) | |||||||
\(740\) | −9.43115 | + | 16.3352i | −0.346696 | + | 0.600495i | ||||
\(741\) | −1.12208 | − | 31.6686i | −0.0412207 | − | 1.16338i | ||||
\(742\) | 9.90340 | + | 17.1532i | 0.363565 | + | 0.629713i | ||||
\(743\) | −1.36869 | − | 5.10804i | −0.0502125 | − | 0.187396i | 0.936264 | − | 0.351296i | \(-0.114259\pi\) |
−0.986477 | + | 0.163901i | \(0.947592\pi\) | |||||||
\(744\) | 6.63492 | + | 5.93945i | 0.243248 | + | 0.217751i | ||||
\(745\) | 56.8174 | − | 32.8036i | 2.08163 | − | 1.20183i | ||||
\(746\) | 16.0506 | − | 16.0506i | 0.587656 | − | 0.587656i | ||||
\(747\) | −26.8685 | − | 21.5016i | −0.983068 | − | 0.786702i | ||||
\(748\) | −0.813216 | − | 3.03496i | −0.0297341 | − | 0.110969i | ||||
\(749\) | 0.690667 | − | 0.185064i | 0.0252364 | − | 0.00676208i | ||||
\(750\) | 0.0593319 | + | 0.180824i | 0.00216649 | + | 0.00660275i | ||||
\(751\) | −13.5277 | − | 7.81023i | −0.493633 | − | 0.284999i | 0.232447 | − | 0.972609i | \(-0.425327\pi\) |
−0.726081 | + | 0.687610i | \(0.758660\pi\) | |||||||
\(752\) | −6.10838 | + | 1.63674i | −0.222750 | + | 0.0596856i | ||||
\(753\) | −6.72265 | − | 1.40864i | −0.244987 | − | 0.0513335i | ||||
\(754\) | −7.42931 | − | 30.1026i | −0.270560 | − | 1.09627i | ||||
\(755\) | − | 23.2681i | − | 0.846813i | ||||||
\(756\) | 11.7989 | − | 9.72523i | 0.429121 | − | 0.353703i | ||||
\(757\) | −2.81998 | − | 4.88435i | −0.102494 | − | 0.177525i | 0.810218 | − | 0.586129i | \(-0.199349\pi\) |
−0.912712 | + | 0.408604i | \(0.866016\pi\) | |||||||
\(758\) | 5.07998 | + | 8.79879i | 0.184513 | + | 0.319586i | ||||
\(759\) | 3.08746 | + | 4.72431i | 0.112068 | + | 0.171482i | ||||
\(760\) | 11.3265 | + | 11.3265i | 0.410857 | + | 0.410857i | ||||
\(761\) | −12.9764 | − | 12.9764i | −0.470394 | − | 0.470394i | 0.431648 | − | 0.902042i | \(-0.357932\pi\) |
−0.902042 | + | 0.431648i | \(0.857932\pi\) | |||||||
\(762\) | −33.0648 | + | 1.82875i | −1.19781 | + | 0.0662487i | ||||
\(763\) | 5.99196 | + | 10.3784i | 0.216923 | + | 0.375722i | ||||
\(764\) | −6.34858 | − | 10.9961i | −0.229684 | − | 0.397824i | ||||
\(765\) | 5.14098 | − | 33.7200i | 0.185873 | − | 1.21915i | ||||
\(766\) | 18.7184i | 0.676323i | ||||||||
\(767\) | 4.76374 | + | 19.3020i | 0.172009 | + | 0.696956i | ||||
\(768\) | −0.539995 | − | 1.64572i | −0.0194854 | − | 0.0593849i | ||||
\(769\) | −19.4642 | + | 5.21542i | −0.701897 | + | 0.188073i | −0.592080 | − | 0.805879i | \(-0.701693\pi\) |
−0.109817 | + | 0.993952i | \(0.535026\pi\) | |||||||
\(770\) | −7.01786 | − | 4.05176i | −0.252906 | − | 0.146015i | ||||
\(771\) | 23.4890 | + | 4.92179i | 0.845936 | + | 0.177254i | ||||
\(772\) | 22.9198 | − | 6.14134i | 0.824901 | − | 0.221031i | ||||
\(773\) | 5.89523 | + | 22.0013i | 0.212037 | + | 0.791331i | 0.987189 | + | 0.159557i | \(0.0510065\pi\) |
−0.775152 | + | 0.631774i | \(0.782327\pi\) | |||||||
\(774\) | 6.91416 | + | 17.7052i | 0.248524 | + | 0.636402i | ||||
\(775\) | 18.0507 | − | 18.0507i | 0.648402 | − | 0.648402i | ||||
\(776\) | 14.6495 | − | 8.45787i | 0.525885 | − | 0.303620i | ||||
\(777\) | −6.24561 | + | 29.8069i | −0.224060 | + | 1.06932i | ||||
\(778\) | −5.68375 | − | 21.2120i | −0.203772 | − | 0.760489i | ||||
\(779\) | −27.7158 | − | 48.0051i | −0.993020 | − | 1.71996i | ||||
\(780\) | 17.4112 | + | 9.24628i | 0.623420 | + | 0.331070i | ||||
\(781\) | −2.79732 | + | 4.84510i | −0.100096 | + | 0.173371i | ||||
\(782\) | 12.9947 | + | 3.48191i | 0.464688 | + | 0.124513i | ||||
\(783\) | −25.9500 | + | 36.3767i | −0.927378 | + | 1.30000i | ||||
\(784\) | −1.43675 | − | 0.829510i | −0.0513126 | − | 0.0296254i | ||||
\(785\) | −8.51380 | − | 31.7740i | −0.303871 | − | 1.13406i | ||||
\(786\) | 21.3614 | − | 1.18146i | 0.761936 | − | 0.0421412i | ||||
\(787\) | 39.3475 | − | 39.3475i | 1.40259 | − | 1.40259i | 0.610802 | − | 0.791784i | \(-0.290847\pi\) |
0.791784 | − | 0.610802i | \(-0.209153\pi\) | |||||||
\(788\) | −1.38307 | + | 5.16169i | −0.0492699 | + | 0.183878i | ||||
\(789\) | 26.3657 | − | 8.65110i | 0.938643 | − | 0.307987i | ||||
\(790\) | 8.24997i | 0.293521i | ||||||||
\(791\) | 2.32816 | − | 8.68882i | 0.0827799 | − | 0.308939i | ||||
\(792\) | −1.55050 | − | 2.10833i | −0.0550948 | − | 0.0749164i | ||||
\(793\) | −0.455446 | + | 22.9592i | −0.0161734 | + | 0.815303i | ||||
\(794\) | 3.03923 | + | 1.75470i | 0.107858 | + | 0.0622721i | ||||
\(795\) | 36.7468 | − | 2.03240i | 1.30328 | − | 0.0720817i | ||||
\(796\) | −4.29806 | + | 7.44445i | −0.152341 | + | 0.263862i | ||||
\(797\) | −13.2860 | −0.470613 | −0.235306 | − | 0.971921i | \(-0.575609\pi\) | ||||
−0.235306 | + | 0.971921i | \(0.575609\pi\) | |||||||
\(798\) | 23.0772 | + | 11.6745i | 0.816924 | + | 0.413272i | ||||
\(799\) | −5.89510 | + | 22.0008i | −0.208554 | + | 0.778333i | ||||
\(800\) | −4.79601 | + | 1.28509i | −0.169565 | + | 0.0454347i | ||||
\(801\) | 8.86263 | + | 22.6947i | 0.313146 | + | 0.801878i | ||||
\(802\) | −1.25974 | + | 2.18194i | −0.0444831 | + | 0.0770470i | ||||
\(803\) | −13.1290 | −0.463313 | ||||||||
\(804\) | 11.9977 | − | 7.84079i | 0.423125 | − | 0.276523i | ||||
\(805\) | 30.0480 | − | 17.3482i | 1.05905 | − | 0.611445i | ||||
\(806\) | −0.367655 | + | 18.5336i | −0.0129501 | + | 0.652819i | ||||
\(807\) | 0.781615 | − | 3.73022i | 0.0275141 | − | 0.131310i | ||||
\(808\) | −3.65055 | − | 3.65055i | −0.128426 | − | 0.128426i | ||||
\(809\) | 27.6216 | − | 15.9473i | 0.971122 | − | 0.560678i | 0.0715440 | − | 0.997437i | \(-0.477207\pi\) |
0.899578 | + | 0.436760i | \(0.143874\pi\) | |||||||
\(810\) | −6.22803 | − | 27.7199i | −0.218831 | − | 0.973978i | ||||
\(811\) | −3.25912 | − | 3.25912i | −0.114443 | − | 0.114443i | 0.647566 | − | 0.762009i | \(-0.275787\pi\) |
−0.762009 | + | 0.647566i | \(0.775787\pi\) | |||||||
\(812\) | 24.4427 | + | 6.54940i | 0.857771 | + | 0.229839i | ||||
\(813\) | 0.591004 | + | 10.6857i | 0.0207274 | + | 0.374763i | ||||
\(814\) | 5.03492 | + | 1.34910i | 0.176474 | + | 0.0472860i | ||||
\(815\) | 21.5310i | 0.754197i | ||||||||
\(816\) | −6.10581 | − | 1.27939i | −0.213746 | − | 0.0447875i | ||||
\(817\) | −22.7329 | + | 22.7329i | −0.795325 | + | 0.795325i | ||||
\(818\) | 17.2470 | 0.603027 | ||||||||
\(819\) | 31.3644 | + | 5.42042i | 1.09596 | + | 0.189405i | ||||
\(820\) | 34.4850 | 1.20427 | ||||||||
\(821\) | −32.7511 | + | 32.7511i | −1.14302 | + | 1.14302i | −0.155128 | + | 0.987894i | \(0.549579\pi\) |
−0.987894 | + | 0.155128i | \(0.950421\pi\) | |||||||
\(822\) | −8.03235 | + | 8.97288i | −0.280160 | + | 0.312965i | ||||
\(823\) | 9.92250i | 0.345877i | 0.984933 | + | 0.172938i | \(0.0553261\pi\) | ||||
−0.984933 | + | 0.172938i | \(0.944674\pi\) | |||||||
\(824\) | 8.91374 | + | 2.38843i | 0.310525 | + | 0.0832049i | ||||
\(825\) | −6.28010 | + | 4.10421i | −0.218645 | + | 0.142890i | ||||
\(826\) | −15.6729 | − | 4.19953i | −0.545329 | − | 0.146120i | ||||
\(827\) | 16.5758 | + | 16.5758i | 0.576398 | + | 0.576398i | 0.933909 | − | 0.357511i | \(-0.116375\pi\) |
−0.357511 | + | 0.933909i | \(0.616375\pi\) | |||||||
\(828\) | 11.1371 | − | 1.23572i | 0.387041 | − | 0.0429444i | ||||
\(829\) | −29.4031 | + | 16.9759i | −1.02121 | + | 0.589598i | −0.914455 | − | 0.404687i | \(-0.867380\pi\) |
−0.106758 | + | 0.994285i | \(0.534047\pi\) | |||||||
\(830\) | 25.6051 | + | 25.6051i | 0.888765 | + | 0.888765i | ||||
\(831\) | −26.3531 | − | 23.5908i | −0.914178 | − | 0.818355i | ||||
\(832\) | 1.86435 | − | 3.08613i | 0.0646347 | − | 0.106992i | ||||
\(833\) | −5.17482 | + | 2.98768i | −0.179297 | + | 0.103517i | ||||
\(834\) | 8.78050 | + | 4.44195i | 0.304044 | + | 0.153812i | ||||
\(835\) | −43.4433 | −1.50342 | ||||||||
\(836\) | 2.21328 | − | 3.83351i | 0.0765478 | − | 0.132585i | ||||
\(837\) | 20.6148 | − | 16.9918i | 0.712553 | − | 0.587323i | ||||
\(838\) | −18.1260 | + | 4.85685i | −0.626152 | + | 0.167777i | ||||
\(839\) | −0.559089 | + | 2.08655i | −0.0193019 | + | 0.0720357i | −0.974905 | − | 0.222621i | \(-0.928539\pi\) |
0.955603 | + | 0.294657i | \(0.0952054\pi\) | |||||||
\(840\) | −13.4682 | + | 8.80186i | −0.464699 | + | 0.303693i | ||||
\(841\) | −44.9507 | −1.55002 | ||||||||
\(842\) | −11.9748 | + | 20.7409i | −0.412678 | + | 0.714780i | ||||
\(843\) | −19.6840 | − | 30.1196i | −0.677953 | − | 1.03738i | ||||
\(844\) | −8.43636 | − | 4.87073i | −0.290391 | − | 0.167658i | ||||
\(845\) | 9.04100 | + | 40.0297i | 0.311020 | + | 1.37706i | ||||
\(846\) | 2.09216 | + | 18.8559i | 0.0719301 | + | 0.648278i | ||||
\(847\) | 7.79808 | − | 29.1028i | 0.267945 | − | 0.999985i | ||||
\(848\) | − | 6.73100i | − | 0.231144i | ||||||
\(849\) | −8.56228 | + | 40.8631i | −0.293857 | + | 1.40242i | ||||
\(850\) | −4.62856 | + | 17.2740i | −0.158758 | + | 0.592493i | ||||
\(851\) | −15.7814 | + | 15.7814i | −0.540979 | + | 0.540979i | ||||
\(852\) | 6.07677 | + | 9.29842i | 0.208187 | + | 0.318559i | ||||
\(853\) | 10.0355 | + | 37.4530i | 0.343609 | + | 1.28237i | 0.894229 | + | 0.447611i | \(0.147725\pi\) |
−0.550619 | + | 0.834756i | \(0.685608\pi\) | |||||||
\(854\) | −16.2306 | − | 9.37074i | −0.555400 | − | 0.320660i | ||||
\(855\) | 38.7128 | − | 28.4701i | 1.32395 | − | 0.973656i | ||||
\(856\) | −0.234711 | − | 0.0628908i | −0.00802227 | − | 0.00214956i | ||||
\(857\) | 9.92497 | − | 17.1906i | 0.339031 | − | 0.587218i | −0.645220 | − | 0.763997i | \(-0.723234\pi\) |
0.984251 | + | 0.176779i | \(0.0565677\pi\) | |||||||
\(858\) | 1.22280 | − | 5.30889i | 0.0417457 | − | 0.181243i | ||||
\(859\) | −6.14228 | − | 10.6387i | −0.209572 | − | 0.362989i | 0.742008 | − | 0.670391i | \(-0.233874\pi\) |
−0.951580 | + | 0.307402i | \(0.900540\pi\) | |||||||
\(860\) | −5.17655 | − | 19.3191i | −0.176519 | − | 0.658777i | ||||
\(861\) | 52.9028 | − | 17.3585i | 1.80292 | − | 0.591575i | ||||
\(862\) | −0.663458 | + | 0.383048i | −0.0225975 | + | 0.0130467i | ||||
\(863\) | −30.8583 | + | 30.8583i | −1.05043 | + | 1.05043i | −0.0517694 | + | 0.998659i | \(0.516486\pi\) |
−0.998659 | + | 0.0517694i | \(0.983514\pi\) | |||||||
\(864\) | −5.12493 | + | 0.857352i | −0.174354 | + | 0.0291677i | ||||
\(865\) | 3.31721 | + | 12.3800i | 0.112789 | + | 0.420932i | ||||
\(866\) | 13.7916 | − | 3.69544i | 0.468656 | − | 0.125576i | ||||
\(867\) | 4.65265 | − | 5.19744i | 0.158012 | − | 0.176514i | ||||
\(868\) | −13.1020 | − | 7.56446i | −0.444712 | − | 0.256755i | ||||
\(869\) | 2.20216 | − | 0.590068i | 0.0747033 | − | 0.0200167i | ||||
\(870\) | 31.3608 | − | 35.0329i | 1.06323 | − | 1.18773i | ||||
\(871\) | 28.6601 | + | 8.29207i | 0.971111 | + | 0.280966i | ||||
\(872\) | − | 4.07253i | − | 0.137913i | ||||||
\(873\) | −18.4599 | − | 47.2706i | −0.624773 | − | 1.59987i | ||||
\(874\) | 9.47649 | + | 16.4138i | 0.320547 | + | 0.555204i | ||||
\(875\) | −0.161660 | − | 0.280004i | −0.00546511 | − | 0.00946585i | ||||
\(876\) | −11.7671 | + | 23.2603i | −0.397574 | + | 0.785892i | ||||
\(877\) | 22.6846 | + | 22.6846i | 0.766004 | + | 0.766004i | 0.977400 | − | 0.211396i | \(-0.0678011\pi\) |
−0.211396 | + | 0.977400i | \(0.567801\pi\) | |||||||
\(878\) | 8.97204 | + | 8.97204i | 0.302792 | + | 0.302792i | ||||
\(879\) | 2.02714 | − | 4.00708i | 0.0683736 | − | 0.135156i | ||||
\(880\) | 1.37692 | + | 2.38490i | 0.0464160 | + | 0.0803949i | ||||
\(881\) | −7.71084 | − | 13.3556i | −0.259785 | − | 0.449960i | 0.706399 | − | 0.707813i | \(-0.250318\pi\) |
−0.966184 | + | 0.257853i | \(0.916985\pi\) | |||||||
\(882\) | −3.10974 | + | 3.88595i | −0.104710 | + | 0.130847i | ||||
\(883\) | − | 37.0096i | − | 1.24547i | −0.782432 | − | 0.622736i | \(-0.786021\pi\) | ||
0.782432 | − | 0.622736i | \(-0.213979\pi\) | |||||||
\(884\) | −6.26881 | − | 11.3730i | −0.210843 | − | 0.382516i | ||||
\(885\) | −20.1088 | + | 22.4634i | −0.675950 | + | 0.755098i | ||||
\(886\) | 10.0435 | − | 2.69114i | 0.337418 | − | 0.0904108i | ||||
\(887\) | −7.62537 | − | 4.40251i | −0.256035 | − | 0.147822i | 0.366490 | − | 0.930422i | \(-0.380560\pi\) |
−0.622524 | + | 0.782600i | \(0.713893\pi\) | |||||||
\(888\) | 6.90279 | − | 7.71105i | 0.231642 | − | 0.258766i | ||||
\(889\) | 54.3434 | − | 14.5613i | 1.82262 | − | 0.488369i | ||||
\(890\) | −6.63534 | − | 24.7634i | −0.222417 | − | 0.830072i | ||||
\(891\) | −6.95382 | + | 3.64508i | −0.232962 | + | 0.122115i | ||||
\(892\) | 13.4223 | − | 13.4223i | 0.449412 | − | 0.449412i | ||||
\(893\) | −27.7896 | + | 16.0443i | −0.929943 | + | 0.536903i | ||||
\(894\) | −34.2031 | + | 11.2227i | −1.14392 | + | 0.375343i | ||||
\(895\) | −15.8609 | − | 59.1936i | −0.530171 | − | 1.97862i | ||||
\(896\) | 1.47131 | + | 2.54838i | 0.0491530 | + | 0.0851356i | ||||
\(897\) | 17.0677 | + | 15.8996i | 0.569873 | + | 0.530872i | ||||
\(898\) | −4.61489 | + | 7.99323i | −0.154001 | + | 0.266738i | ||||
\(899\) | 42.7060 | + | 11.4430i | 1.42432 | + | 0.381646i | ||||
\(900\) | 1.64267 | + | 14.8047i | 0.0547556 | + | 0.493491i | ||||
\(901\) | −20.9954 | − | 12.1217i | −0.699457 | − | 0.403832i | ||||
\(902\) | −2.46649 | − | 9.20508i | −0.0821253 | − | 0.306496i | ||||
\(903\) | −17.6658 | − | 27.0315i | −0.587881 | − | 0.899551i | ||||
\(904\) | −2.16156 | + | 2.16156i | −0.0718925 | + | 0.0718925i | ||||
\(905\) | 0.0803021 | − | 0.299691i | 0.00266933 | − | 0.00996208i | ||||
\(906\) | −2.61822 | + | 12.4953i | −0.0869846 | + | 0.415130i | ||||
\(907\) | 35.2836i | 1.17157i | 0.810465 | + | 0.585787i | \(0.199215\pi\) | ||||
−0.810465 | + | 0.585787i | \(0.800785\pi\) | |||||||
\(908\) | −4.00365 | + | 14.9418i | −0.132866 | + | 0.495861i | ||||
\(909\) | −12.4772 | + | 9.17591i | −0.413841 | + | 0.304346i | ||||
\(910\) | −32.1731 | − | 9.30845i | −1.06653 | − | 0.308572i | ||||
\(911\) | 28.0830 | + | 16.2137i | 0.930431 | + | 0.537185i | 0.886948 | − | 0.461870i | \(-0.152821\pi\) |
0.0434832 | + | 0.999054i | \(0.486155\pi\) | |||||||
\(912\) | −4.80802 | − | 7.35704i | −0.159210 | − | 0.243616i | ||||
\(913\) | 5.00339 | − | 8.66613i | 0.165588 | − | 0.286807i | ||||
\(914\) | −8.70546 | −0.287951 | ||||||||
\(915\) | −29.1505 | + | 19.0506i | −0.963686 | + | 0.629795i | ||||
\(916\) | −3.92348 | + | 14.6426i | −0.129635 | + | 0.483806i | ||||
\(917\) | −35.1083 | + | 9.40725i | −1.15938 | + | 0.310655i | ||||
\(918\) | −6.55510 | + | 17.5297i | −0.216351 | + | 0.578566i | ||||
\(919\) | −14.7996 | + | 25.6336i | −0.488193 | + | 0.845575i | −0.999908 | − | 0.0135801i | \(-0.995677\pi\) |
0.511715 | + | 0.859155i | \(0.329011\pi\) | |||||||
\(920\) | −11.7910 | −0.388738 | ||||||||
\(921\) | −0.895245 | − | 0.452894i | −0.0294993 | − | 0.0149234i | ||||
\(922\) | 9.05081 | − | 5.22549i | 0.298072 | − | 0.172092i | ||||
\(923\) | −6.42652 | + | 22.2122i | −0.211531 | + | 0.731122i | ||||
\(924\) | 3.31278 | + | 2.96554i | 0.108982 | + | 0.0975590i | ||||
\(925\) | −20.9784 | − | 20.9784i | −0.689767 | − | 0.689767i | ||||
\(926\) | 4.85852 | − | 2.80507i | 0.159661 | − | 0.0921802i | ||||
\(927\) | 11.1138 | − | 25.3558i | 0.365027 | − | 0.832793i | ||||
\(928\) | −6.08073 | − | 6.08073i | −0.199610 | − | 0.199610i | ||||
\(929\) | 22.5602 | + | 6.04499i | 0.740177 | + | 0.198330i | 0.609157 | − | 0.793050i | \(-0.291508\pi\) |
0.131020 | + | 0.991380i | \(0.458175\pi\) | |||||||
\(930\) | −23.5315 | + | 15.3785i | −0.771630 | + | 0.504281i | ||||
\(931\) | −8.13139 | − | 2.17880i | −0.266496 | − | 0.0714073i | ||||
\(932\) | 11.5129i | 0.377118i | ||||||||
\(933\) | 20.0467 | − | 22.3940i | 0.656299 | − | 0.733147i | ||||
\(934\) | 8.39594 | − | 8.39594i | 0.274724 | − | 0.274724i | ||||
\(935\) | 9.91865 | 0.324374 | ||||||||
\(936\) | −8.30965 | − | 6.92458i | −0.271609 | − | 0.226337i | ||||
\(937\) | 13.0003 | 0.424700 | 0.212350 | − | 0.977194i | \(-0.431888\pi\) | ||||
0.212350 | + | 0.977194i | \(0.431888\pi\) | |||||||
\(938\) | −17.2180 | + | 17.2180i | −0.562187 | + | 0.562187i | ||||
\(939\) | −41.8139 | − | 8.76151i | −1.36454 | − | 0.285921i | ||||
\(940\) | − | 19.9630i | − | 0.651120i | ||||||
\(941\) | 29.9063 | + | 8.01337i | 0.974918 | + | 0.261229i | 0.710903 | − | 0.703290i | \(-0.248286\pi\) |
0.264015 | + | 0.964519i | \(0.414953\pi\) | |||||||
\(942\) | 0.996714 | + | 18.0211i | 0.0324747 | + | 0.587160i | ||||
\(943\) | 39.4130 | + | 10.5607i | 1.28346 | + | 0.343903i | ||||
\(944\) | 3.89902 | + | 3.89902i | 0.126902 | + | 0.126902i | ||||
\(945\) | 20.0142 | + | 43.9230i | 0.651061 | + | 1.42882i | ||||
\(946\) | −4.78661 | + | 2.76355i | −0.155626 | + | 0.0898509i | ||||
\(947\) | 14.5173 | + | 14.5173i | 0.471747 | + | 0.471747i | 0.902480 | − | 0.430732i | \(-0.141745\pi\) |
−0.430732 | + | 0.902480i | \(0.641745\pi\) | |||||||
\(948\) | 0.928320 | − | 4.43037i | 0.0301504 | − | 0.143892i | ||||
\(949\) | −52.6827 | + | 13.0021i | −1.71015 | + | 0.422066i | ||||
\(950\) | −21.8191 | + | 12.5972i | −0.707904 | + | 0.408709i | ||||
\(951\) | 36.2199 | − | 23.6707i | 1.17451 | − | 0.767575i | ||||
\(952\) | 10.5986 | 0.343502 | ||||||||
\(953\) | 17.8354 | − | 30.8919i | 0.577747 | − | 1.00069i | −0.417990 | − | 0.908451i | \(-0.637265\pi\) |
0.995737 | − | 0.0922353i | \(-0.0294012\pi\) | |||||||
\(954\) | −19.9623 | − | 3.04347i | −0.646305 | − | 0.0985361i | ||||
\(955\) | 38.7163 | − | 10.3740i | 1.25283 | − | 0.335695i | ||||
\(956\) | 1.04280 | − | 3.89177i | 0.0337264 | − | 0.125869i | ||||
\(957\) | −11.5944 | − | 5.86545i | −0.374792 | − | 0.189603i | ||||
\(958\) | 31.4187 | 1.01509 | ||||||||
\(959\) | 10.2300 | − | 17.7188i | 0.330343 | − | 0.572171i | ||||
\(960\) | 5.45934 | − | 0.301946i | 0.176199 | − | 0.00974526i | ||||
\(961\) | 3.95508 | + | 2.28347i | 0.127583 | + | 0.0736602i | ||||
\(962\) | 21.5396 | + | 0.427286i | 0.694466 | + | 0.0137763i | ||||
\(963\) | −0.292644 | + | 0.667654i | −0.00943031 | + | 0.0215149i | ||||
\(964\) | −3.83319 | + | 14.3057i | −0.123459 | + | 0.460754i | ||||
\(965\) | 74.9048i | 2.41127i | ||||||||
\(966\) | −18.0884 | + | 5.93515i | −0.581984 | + | 0.190960i | ||||
\(967\) | −9.51213 | + | 35.4997i | −0.305889 | + | 1.14159i | 0.626288 | + | 0.779592i | \(0.284574\pi\) |
−0.932177 | + | 0.362003i | \(0.882093\pi\) | |||||||
\(968\) | −7.24006 | + | 7.24006i | −0.232704 | + | 0.232704i | ||||
\(969\) | −31.6067 | + | 1.74811i | −1.01536 | + | 0.0561574i | ||||
\(970\) | 13.8207 | + | 51.5796i | 0.443756 | + | 1.65612i | ||||
\(971\) | −2.23727 | − | 1.29169i | −0.0717976 | − | 0.0414523i | 0.463671 | − | 0.886007i | \(-0.346532\pi\) |
−0.535469 | + | 0.844555i | \(0.679865\pi\) | |||||||
\(972\) | 0.225396 | + | 15.5868i | 0.00722956 | + | 0.499948i | ||||
\(973\) | −16.1480 | − | 4.32684i | −0.517680 | − | 0.138712i | ||||
\(974\) | −13.4282 | + | 23.2584i | −0.430268 | + | 0.745246i | ||||
\(975\) | −21.1356 | + | 22.6883i | −0.676880 | + | 0.726608i | ||||
\(976\) | 3.18449 | + | 5.51569i | 0.101933 | + | 0.176553i | ||||
\(977\) | −8.15477 | − | 30.4340i | −0.260894 | − | 0.973671i | −0.964716 | − | 0.263294i | \(-0.915191\pi\) |
0.703821 | − | 0.710377i | \(-0.251476\pi\) | |||||||
\(978\) | 2.42275 | − | 11.5625i | 0.0774711 | − | 0.369727i | ||||
\(979\) | −6.13552 | + | 3.54235i | −0.196092 | + | 0.113214i | ||||
\(980\) | 3.70322 | − | 3.70322i | 0.118295 | − | 0.118295i | ||||
\(981\) | −12.0780 | − | 1.84143i | −0.385622 | − | 0.0587922i | ||||
\(982\) | −0.692234 | − | 2.58345i | −0.0220901 | − | 0.0824413i | ||||
\(983\) | 25.7225 | − | 6.89232i | 0.820420 | − | 0.219831i | 0.175890 | − | 0.984410i | \(-0.443720\pi\) |
0.644530 | + | 0.764579i | \(0.277053\pi\) | |||||||
\(984\) | −18.5190 | − | 3.88039i | −0.590364 | − | 0.123702i | ||||
\(985\) | −14.6090 | − | 8.43454i | −0.465483 | − | 0.268747i | ||||
\(986\) | −29.9177 | + | 8.01642i | −0.952773 | + | 0.255295i | ||||
\(987\) | −10.0486 | − | 30.6248i | −0.319851 | − | 0.974799i | ||||
\(988\) | 5.08475 | − | 17.5746i | 0.161767 | − | 0.559122i | ||||
\(989\) | − | 23.6652i | − | 0.752508i | ||||||
\(990\) | 7.69555 | − | 3.00523i | 0.244581 | − | 0.0955124i | ||||
\(991\) | −12.7440 | − | 22.0732i | −0.404826 | − | 0.701179i | 0.589475 | − | 0.807787i | \(-0.299335\pi\) |
−0.994301 | + | 0.106607i | \(0.966001\pi\) | |||||||
\(992\) | 2.57066 | + | 4.45251i | 0.0816184 | + | 0.141367i | ||||
\(993\) | −55.6578 | + | 3.07833i | −1.76625 | + | 0.0976877i | ||||
\(994\) | −13.3443 | − | 13.3443i | −0.423254 | − | 0.423254i | ||||
\(995\) | −19.1880 | − | 19.1880i | −0.608301 | − | 0.608301i | ||||
\(996\) | −10.8691 | − | 16.6315i | −0.344402 | − | 0.526990i | ||||
\(997\) | −3.21008 | − | 5.56002i | −0.101664 | − | 0.176087i | 0.810706 | − | 0.585453i | \(-0.199083\pi\) |
−0.912370 | + | 0.409366i | \(0.865750\pi\) | |||||||
\(998\) | 2.23670 | + | 3.87408i | 0.0708016 | + | 0.122632i | ||||
\(999\) | −19.7477 | − | 23.9584i | −0.624791 | − | 0.758011i |
(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 | 234.2.y.a.11.11 | ✓ | 56 | |
3.2 | odd | 2 | 702.2.bb.a.89.1 | 56 | |||
9.4 | even | 3 | 702.2.bc.a.557.8 | 56 | |||
9.5 | odd | 6 | 234.2.z.a.167.2 | yes | 56 | ||
13.6 | odd | 12 | 234.2.z.a.227.2 | yes | 56 | ||
39.32 | even | 12 | 702.2.bc.a.305.8 | 56 | |||
117.32 | even | 12 | inner | 234.2.y.a.149.11 | yes | 56 | |
117.58 | odd | 12 | 702.2.bb.a.71.1 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
234.2.y.a.11.11 | ✓ | 56 | 1.1 | even | 1 | trivial | |
234.2.y.a.149.11 | yes | 56 | 117.32 | even | 12 | inner | |
234.2.z.a.167.2 | yes | 56 | 9.5 | odd | 6 | ||
234.2.z.a.227.2 | yes | 56 | 13.6 | odd | 12 | ||
702.2.bb.a.71.1 | 56 | 117.58 | odd | 12 | |||
702.2.bb.a.89.1 | 56 | 3.2 | odd | 2 | |||
702.2.bc.a.305.8 | 56 | 39.32 | even | 12 | |||
702.2.bc.a.557.8 | 56 | 9.4 | even | 3 |