Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [130,2,Mod(7,130)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(130, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("130.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 130 = 2 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 130.p (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: | \(1.03805522628\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{13} - 48 x^{12} + 16 x^{11} + 8 x^{10} + 80 x^{9} + 2208 x^{8} + 760 x^{7} + 192 x^{6} + \cdots + 4096 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 123.4 | ||
Root | \(0.640364 - 2.38987i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 130.123 |
Dual form | 130.2.p.b.37.4 |
$q$-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 \(\left(\mathbb{Z}/130\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(41\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 2.38987 | − | 0.640364i | 1.37979 | − | 0.369714i | 0.508747 | − | 0.860916i | \(-0.330109\pi\) |
0.871046 | + | 0.491202i | \(0.163442\pi\) | |||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −0.606329 | − | 2.15229i | −0.271158 | − | 0.962535i | ||||
\(6\) | −2.38987 | − | 0.640364i | −0.975661 | − | 0.261428i | ||||
\(7\) | 0.551051 | + | 0.954448i | 0.208278 | + | 0.360747i | 0.951172 | − | 0.308661i | \(-0.0998809\pi\) |
−0.742894 | + | 0.669409i | \(0.766548\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 2.70334 | − | 1.56078i | 0.901115 | − | 0.520259i | ||||
\(10\) | −0.551051 | + | 2.16710i | −0.174258 | + | 0.685299i | ||||
\(11\) | −3.23142 | + | 0.865856i | −0.974309 | + | 0.261065i | −0.710646 | − | 0.703550i | \(-0.751597\pi\) |
−0.263663 | + | 0.964615i | \(0.584931\pi\) | |||||||
\(12\) | 1.74951 | + | 1.74951i | 0.505039 | + | 0.505039i | ||||
\(13\) | 1.57779 | + | 3.24200i | 0.437601 | + | 0.899169i | ||||
\(14\) | − | 1.10210i | − | 0.294549i | ||||||
\(15\) | −2.82730 | − | 4.75543i | −0.730005 | − | 1.22785i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 0.749677 | − | 2.79783i | 0.181823 | − | 0.678574i | −0.813465 | − | 0.581614i | \(-0.802421\pi\) |
0.995288 | − | 0.0969602i | \(-0.0309119\pi\) | |||||||
\(18\) | −3.12155 | −0.735757 | ||||||||
\(19\) | 1.15009 | − | 4.29219i | 0.263849 | − | 0.984697i | −0.699103 | − | 0.715021i | \(-0.746417\pi\) |
0.962951 | − | 0.269675i | \(-0.0869164\pi\) | |||||||
\(20\) | 1.56078 | − | 1.60124i | 0.349000 | − | 0.358049i | ||||
\(21\) | 1.92813 | + | 1.92813i | 0.420753 | + | 0.420753i | ||||
\(22\) | 3.23142 | + | 0.865856i | 0.688940 | + | 0.184601i | ||||
\(23\) | 1.93811 | + | 7.23312i | 0.404123 | + | 1.50821i | 0.805667 | + | 0.592369i | \(0.201807\pi\) |
−0.401543 | + | 0.915840i | \(0.631526\pi\) | |||||||
\(24\) | −0.640364 | − | 2.38987i | −0.130714 | − | 0.487830i | ||||
\(25\) | −4.26473 | + | 2.60999i | −0.852946 | + | 0.521999i | ||||
\(26\) | 0.254593 | − | 3.59655i | 0.0499299 | − | 0.705342i | ||||
\(27\) | 0.212657 | − | 0.212657i | 0.0409259 | − | 0.0409259i | ||||
\(28\) | −0.551051 | + | 0.954448i | −0.104139 | + | 0.180374i | ||||
\(29\) | −1.66838 | − | 0.963240i | −0.309810 | − | 0.178869i | 0.337031 | − | 0.941493i | \(-0.390577\pi\) |
−0.646842 | + | 0.762624i | \(0.723911\pi\) | |||||||
\(30\) | 0.0707959 | + | 5.53198i | 0.0129255 | + | 1.01000i | ||||
\(31\) | −3.17717 | + | 3.17717i | −0.570636 | + | 0.570636i | −0.932306 | − | 0.361670i | \(-0.882207\pi\) |
0.361670 | + | 0.932306i | \(0.382207\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | −7.16821 | + | 4.13857i | −1.24783 | + | 0.720432i | ||||
\(34\) | −2.04816 | + | 2.04816i | −0.351256 | + | 0.351256i | ||||
\(35\) | 1.72013 | − | 1.76473i | 0.290756 | − | 0.298294i | ||||
\(36\) | 2.70334 | + | 1.56078i | 0.450557 | + | 0.260129i | ||||
\(37\) | −5.46855 | + | 9.47181i | −0.899025 | + | 1.55716i | −0.0702817 | + | 0.997527i | \(0.522390\pi\) |
−0.828743 | + | 0.559629i | \(0.810944\pi\) | |||||||
\(38\) | −3.14210 | + | 3.14210i | −0.509717 | + | 0.509717i | ||||
\(39\) | 5.84678 | + | 6.73761i | 0.936234 | + | 1.07888i | ||||
\(40\) | −2.15229 | + | 0.606329i | −0.340307 | + | 0.0958690i | ||||
\(41\) | −0.348623 | − | 1.30108i | −0.0544458 | − | 0.203194i | 0.933345 | − | 0.358981i | \(-0.116876\pi\) |
−0.987791 | + | 0.155786i | \(0.950209\pi\) | |||||||
\(42\) | −0.705746 | − | 2.63388i | −0.108899 | − | 0.406417i | ||||
\(43\) | 4.64760 | + | 1.24532i | 0.708753 | + | 0.189910i | 0.595148 | − | 0.803616i | \(-0.297094\pi\) |
0.113605 | + | 0.993526i | \(0.463760\pi\) | |||||||
\(44\) | −2.36556 | − | 2.36556i | −0.356622 | − | 0.356622i | ||||
\(45\) | −4.99836 | − | 4.87205i | −0.745112 | − | 0.726282i | ||||
\(46\) | 1.93811 | − | 7.23312i | 0.285758 | − | 1.06646i | ||||
\(47\) | 7.88729 | 1.15048 | 0.575240 | − | 0.817985i | \(-0.304909\pi\) | ||||
0.575240 | + | 0.817985i | \(0.304909\pi\) | |||||||
\(48\) | −0.640364 | + | 2.38987i | −0.0924286 | + | 0.344948i | ||||
\(49\) | 2.89269 | − | 5.01028i | 0.413241 | − | 0.715754i | ||||
\(50\) | 4.99836 | − | 0.127955i | 0.706875 | − | 0.0180956i | ||||
\(51\) | − | 7.16653i | − | 1.00351i | ||||||
\(52\) | −2.01876 | + | 2.98741i | −0.279952 | + | 0.414279i | ||||
\(53\) | −8.09456 | − | 8.09456i | −1.11187 | − | 1.11187i | −0.992897 | − | 0.118976i | \(-0.962039\pi\) |
−0.118976 | − | 0.992897i | \(-0.537961\pi\) | |||||||
\(54\) | −0.290495 | + | 0.0778379i | −0.0395314 | + | 0.0105924i | ||||
\(55\) | 3.82288 | + | 6.42996i | 0.515476 | + | 0.867016i | ||||
\(56\) | 0.954448 | − | 0.551051i | 0.127543 | − | 0.0736372i | ||||
\(57\) | − | 10.9943i | − | 1.45623i | ||||||
\(58\) | 0.963240 | + | 1.66838i | 0.126480 | + | 0.219069i | ||||
\(59\) | −9.63111 | − | 2.58065i | −1.25386 | − | 0.335972i | −0.430036 | − | 0.902812i | \(-0.641499\pi\) |
−0.823828 | + | 0.566840i | \(0.808166\pi\) | |||||||
\(60\) | 2.70468 | − | 4.82623i | 0.349172 | − | 0.623063i | ||||
\(61\) | −3.68778 | − | 6.38743i | −0.472172 | − | 0.817827i | 0.527321 | − | 0.849666i | \(-0.323197\pi\) |
−0.999493 | + | 0.0318398i | \(0.989863\pi\) | |||||||
\(62\) | 4.34009 | − | 1.16292i | 0.551192 | − | 0.147692i | ||||
\(63\) | 2.97936 | + | 1.72013i | 0.375364 | + | 0.216716i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 6.02108 | − | 5.36159i | 0.746823 | − | 0.665023i | ||||
\(66\) | 8.27714 | 1.01884 | ||||||||
\(67\) | 3.69332 | + | 2.13234i | 0.451210 | + | 0.260506i | 0.708341 | − | 0.705870i | \(-0.249444\pi\) |
−0.257131 | + | 0.966377i | \(0.582777\pi\) | |||||||
\(68\) | 2.79783 | − | 0.749677i | 0.339287 | − | 0.0909117i | ||||
\(69\) | 9.26366 | + | 16.0451i | 1.11521 | + | 1.93161i | ||||
\(70\) | −2.37205 | + | 0.668235i | −0.283514 | + | 0.0798694i | ||||
\(71\) | 4.81110 | + | 1.28913i | 0.570972 | + | 0.152991i | 0.532742 | − | 0.846278i | \(-0.321161\pi\) |
0.0382296 | + | 0.999269i | \(0.487828\pi\) | |||||||
\(72\) | −1.56078 | − | 2.70334i | −0.183939 | − | 0.318592i | ||||
\(73\) | − | 16.4413i | − | 1.92431i | −0.272499 | − | 0.962156i | \(-0.587850\pi\) | ||
0.272499 | − | 0.962156i | \(-0.412150\pi\) | |||||||
\(74\) | 9.47181 | − | 5.46855i | 1.10108 | − | 0.635706i | ||||
\(75\) | −8.52081 | + | 8.96853i | −0.983899 | + | 1.03560i | ||||
\(76\) | 4.29219 | − | 1.15009i | 0.492348 | − | 0.131924i | ||||
\(77\) | −2.60709 | − | 2.60709i | −0.297105 | − | 0.297105i | ||||
\(78\) | −1.69466 | − | 8.75833i | −0.191882 | − | 0.991685i | ||||
\(79\) | 0.747852i | 0.0841400i | 0.999115 | + | 0.0420700i | \(0.0133952\pi\) | ||||
−0.999115 | + | 0.0420700i | \(0.986605\pi\) | |||||||
\(80\) | 2.16710 | + | 0.551051i | 0.242290 | + | 0.0616093i | ||||
\(81\) | −4.31028 | + | 7.46563i | −0.478920 | + | 0.829514i | ||||
\(82\) | −0.348623 | + | 1.30108i | −0.0384990 | + | 0.143680i | ||||
\(83\) | 10.5558 | 1.15865 | 0.579327 | − | 0.815095i | \(-0.303315\pi\) | ||||
0.579327 | + | 0.815095i | \(0.303315\pi\) | |||||||
\(84\) | −0.705746 | + | 2.63388i | −0.0770032 | + | 0.287380i | ||||
\(85\) | −6.47631 | + | 0.0828811i | −0.702454 | + | 0.00898972i | ||||
\(86\) | −3.40228 | − | 3.40228i | −0.366877 | − | 0.366877i | ||||
\(87\) | −4.60404 | − | 1.23365i | −0.493605 | − | 0.132261i | ||||
\(88\) | 0.865856 | + | 3.23142i | 0.0923005 | + | 0.344470i | ||||
\(89\) | 0.953984 | + | 3.56032i | 0.101122 | + | 0.377393i | 0.997876 | − | 0.0651360i | \(-0.0207481\pi\) |
−0.896754 | + | 0.442529i | \(0.854081\pi\) | |||||||
\(90\) | 1.89269 | + | 6.71850i | 0.199507 | + | 0.708192i | ||||
\(91\) | −2.22488 | + | 3.29243i | −0.233231 | + | 0.345140i | ||||
\(92\) | −5.29501 | + | 5.29501i | −0.552043 | + | 0.552043i | ||||
\(93\) | −5.55848 | + | 9.62757i | −0.576387 | + | 0.998332i | ||||
\(94\) | −6.83060 | − | 3.94365i | −0.704522 | − | 0.406756i | ||||
\(95\) | −9.93539 | + | 0.127149i | −1.01935 | + | 0.0130452i | ||||
\(96\) | 1.74951 | − | 1.74951i | 0.178558 | − | 0.178558i | ||||
\(97\) | 4.98325 | − | 2.87708i | 0.505972 | − | 0.292123i | −0.225204 | − | 0.974312i | \(-0.572305\pi\) |
0.731176 | + | 0.682189i | \(0.238972\pi\) | |||||||
\(98\) | −5.01028 | + | 2.89269i | −0.506115 | + | 0.292205i | ||||
\(99\) | −7.38422 | + | 7.38422i | −0.742143 | + | 0.742143i | ||||
\(100\) | −4.39269 | − | 2.38837i | −0.439269 | − | 0.238837i | ||||
\(101\) | −5.29048 | − | 3.05446i | −0.526423 | − | 0.303930i | 0.213136 | − | 0.977023i | \(-0.431632\pi\) |
−0.739559 | + | 0.673092i | \(0.764966\pi\) | |||||||
\(102\) | −3.58326 | + | 6.20640i | −0.354796 | + | 0.614525i | ||||
\(103\) | 11.3174 | − | 11.3174i | 1.11514 | − | 1.11514i | 0.122693 | − | 0.992445i | \(-0.460847\pi\) |
0.992445 | − | 0.122693i | \(-0.0391530\pi\) | |||||||
\(104\) | 3.24200 | − | 1.57779i | 0.317904 | − | 0.154715i | ||||
\(105\) | 2.98083 | − | 5.31899i | 0.290899 | − | 0.519081i | ||||
\(106\) | 2.96281 | + | 11.0574i | 0.287774 | + | 1.07399i | ||||
\(107\) | −2.82498 | − | 10.5430i | −0.273101 | − | 1.01923i | −0.957103 | − | 0.289747i | \(-0.906429\pi\) |
0.684002 | − | 0.729480i | \(-0.260238\pi\) | |||||||
\(108\) | 0.290495 | + | 0.0778379i | 0.0279529 | + | 0.00748995i | ||||
\(109\) | −6.08467 | − | 6.08467i | −0.582806 | − | 0.582806i | 0.352868 | − | 0.935673i | \(-0.385207\pi\) |
−0.935673 | + | 0.352868i | \(0.885207\pi\) | |||||||
\(110\) | −0.0957253 | − | 7.47995i | −0.00912705 | − | 0.713185i | ||||
\(111\) | −7.00373 | + | 26.1383i | −0.664765 | + | 2.48094i | ||||
\(112\) | −1.10210 | −0.104139 | ||||||||
\(113\) | −2.29579 | + | 8.56802i | −0.215970 | + | 0.806012i | 0.769853 | + | 0.638222i | \(0.220330\pi\) |
−0.985823 | + | 0.167790i | \(0.946337\pi\) | |||||||
\(114\) | −5.49713 | + | 9.52131i | −0.514854 | + | 0.891753i | ||||
\(115\) | 14.3927 | − | 8.55702i | 1.34212 | − | 0.797946i | ||||
\(116\) | − | 1.92648i | − | 0.178869i | ||||||
\(117\) | 9.32535 | + | 6.30167i | 0.862129 | + | 0.582589i | ||||
\(118\) | 7.05046 | + | 7.05046i | 0.649047 | + | 0.649047i | ||||
\(119\) | 3.08350 | − | 0.826220i | 0.282664 | − | 0.0757395i | ||||
\(120\) | −4.75543 | + | 2.82730i | −0.434110 | + | 0.258096i | ||||
\(121\) | 0.166072 | − | 0.0958815i | 0.0150974 | − | 0.00871650i | ||||
\(122\) | 7.37557i | 0.667753i | ||||||||
\(123\) | −1.66633 | − | 2.88617i | −0.150248 | − | 0.260237i | ||||
\(124\) | −4.34009 | − | 1.16292i | −0.389752 | − | 0.104434i | ||||
\(125\) | 8.20330 | + | 7.59644i | 0.733725 | + | 0.679446i | ||||
\(126\) | −1.72013 | − | 2.97936i | −0.153242 | − | 0.265422i | ||||
\(127\) | −3.20926 | + | 0.859919i | −0.284776 | + | 0.0763055i | −0.398380 | − | 0.917221i | \(-0.630427\pi\) |
0.113604 | + | 0.993526i | \(0.463761\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 11.9046 | 1.04814 | ||||||||
\(130\) | −7.89520 | + | 1.63273i | −0.692455 | + | 0.143200i | ||||
\(131\) | −0.395776 | −0.0345791 | −0.0172895 | − | 0.999851i | \(-0.505504\pi\) | ||||
−0.0172895 | + | 0.999851i | \(0.505504\pi\) | |||||||
\(132\) | −7.16821 | − | 4.13857i | −0.623913 | − | 0.360216i | ||||
\(133\) | 4.73043 | − | 1.26752i | 0.410180 | − | 0.109908i | ||||
\(134\) | −2.13234 | − | 3.69332i | −0.184206 | − | 0.319054i | ||||
\(135\) | −0.586640 | − | 0.328760i | −0.0504900 | − | 0.0282952i | ||||
\(136\) | −2.79783 | − | 0.749677i | −0.239912 | − | 0.0642843i | ||||
\(137\) | −4.37451 | − | 7.57687i | −0.373739 | − | 0.647335i | 0.616398 | − | 0.787435i | \(-0.288591\pi\) |
−0.990137 | + | 0.140099i | \(0.955258\pi\) | |||||||
\(138\) | − | 18.5273i | − | 1.57715i | ||||||
\(139\) | 7.23857 | − | 4.17919i | 0.613968 | − | 0.354474i | −0.160549 | − | 0.987028i | \(-0.551326\pi\) |
0.774517 | + | 0.632553i | \(0.217993\pi\) | |||||||
\(140\) | 2.38837 | + | 0.607314i | 0.201854 | + | 0.0513274i | ||||
\(141\) | 18.8496 | − | 5.05074i | 1.58742 | − | 0.425349i | ||||
\(142\) | −3.52197 | − | 3.52197i | −0.295557 | − | 0.295557i | ||||
\(143\) | −7.90561 | − | 9.11012i | −0.661100 | − | 0.761827i | ||||
\(144\) | 3.12155i | 0.260129i | ||||||||
\(145\) | −1.06159 | + | 4.17488i | −0.0881601 | + | 0.346705i | ||||
\(146\) | −8.22067 | + | 14.2386i | −0.680347 | + | 1.17840i | ||||
\(147\) | 3.70475 | − | 13.8263i | 0.305562 | − | 1.14037i | ||||
\(148\) | −10.9371 | −0.899025 | ||||||||
\(149\) | −0.757636 | + | 2.82754i | −0.0620680 | + | 0.231641i | −0.989991 | − | 0.141131i | \(-0.954926\pi\) |
0.927923 | + | 0.372772i | \(0.121593\pi\) | |||||||
\(150\) | 11.8635 | − | 3.50657i | 0.968651 | − | 0.286310i | ||||
\(151\) | 10.2911 | + | 10.2911i | 0.837480 | + | 0.837480i | 0.988527 | − | 0.151047i | \(-0.0482645\pi\) |
−0.151047 | + | 0.988527i | \(0.548264\pi\) | |||||||
\(152\) | −4.29219 | − | 1.15009i | −0.348143 | − | 0.0932846i | ||||
\(153\) | −2.34016 | − | 8.73358i | −0.189190 | − | 0.706068i | ||||
\(154\) | 0.954261 | + | 3.56135i | 0.0768965 | + | 0.286982i | ||||
\(155\) | 8.76460 | + | 4.91179i | 0.703990 | + | 0.394524i | ||||
\(156\) | −2.91155 | + | 8.43226i | −0.233110 | + | 0.675121i | ||||
\(157\) | −6.72089 | + | 6.72089i | −0.536386 | + | 0.536386i | −0.922465 | − | 0.386080i | \(-0.873829\pi\) |
0.386080 | + | 0.922465i | \(0.373829\pi\) | |||||||
\(158\) | 0.373926 | − | 0.647659i | 0.0297480 | − | 0.0515250i | ||||
\(159\) | −24.5284 | − | 14.1615i | −1.94523 | − | 1.12308i | ||||
\(160\) | −1.60124 | − | 1.56078i | −0.126589 | − | 0.123390i | ||||
\(161\) | −5.83564 | + | 5.83564i | −0.459913 | + | 0.459913i | ||||
\(162\) | 7.46563 | − | 4.31028i | 0.586555 | − | 0.338648i | ||||
\(163\) | 1.92752 | − | 1.11286i | 0.150975 | − | 0.0871656i | −0.422609 | − | 0.906312i | \(-0.638886\pi\) |
0.573585 | + | 0.819146i | \(0.305552\pi\) | |||||||
\(164\) | 0.952456 | − | 0.952456i | 0.0743743 | − | 0.0743743i | ||||
\(165\) | 13.2537 | + | 12.9188i | 1.03180 | + | 1.00572i | ||||
\(166\) | −9.14163 | − | 5.27792i | −0.709528 | − | 0.409646i | ||||
\(167\) | −8.96406 | + | 15.5262i | −0.693660 | + | 1.20145i | 0.276971 | + | 0.960878i | \(0.410670\pi\) |
−0.970630 | + | 0.240576i | \(0.922664\pi\) | |||||||
\(168\) | 1.92813 | − | 1.92813i | 0.148759 | − | 0.148759i | ||||
\(169\) | −8.02115 | + | 10.2304i | −0.617011 | + | 0.786954i | ||||
\(170\) | 5.65009 | + | 3.16638i | 0.433342 | + | 0.242850i | ||||
\(171\) | −3.59007 | − | 13.3983i | −0.274539 | − | 1.02459i | ||||
\(172\) | 1.24532 | + | 4.64760i | 0.0949549 | + | 0.354376i | ||||
\(173\) | 8.29818 | + | 2.22349i | 0.630899 | + | 0.169049i | 0.560078 | − | 0.828440i | \(-0.310771\pi\) |
0.0708214 | + | 0.997489i | \(0.477438\pi\) | |||||||
\(174\) | 3.37039 | + | 3.37039i | 0.255509 | + | 0.255509i | ||||
\(175\) | −4.84119 | − | 2.63222i | −0.365959 | − | 0.198977i | ||||
\(176\) | 0.865856 | − | 3.23142i | 0.0652663 | − | 0.243577i | ||||
\(177\) | −24.6697 | −1.85429 | ||||||||
\(178\) | 0.953984 | − | 3.56032i | 0.0715041 | − | 0.266857i | ||||
\(179\) | −5.60277 | + | 9.70428i | −0.418771 | + | 0.725332i | −0.995816 | − | 0.0913799i | \(-0.970872\pi\) |
0.577045 | + | 0.816712i | \(0.304206\pi\) | |||||||
\(180\) | 1.72013 | − | 6.76473i | 0.128211 | − | 0.504213i | ||||
\(181\) | − | 22.8415i | − | 1.69780i | −0.528555 | − | 0.848899i | \(-0.677266\pi\) | ||
0.528555 | − | 0.848899i | \(-0.322734\pi\) | |||||||
\(182\) | 3.57301 | − | 1.73889i | 0.264849 | − | 0.128895i | ||||
\(183\) | −12.9036 | − | 12.9036i | −0.953863 | − | 0.953863i | ||||
\(184\) | 7.23312 | − | 1.93811i | 0.533232 | − | 0.142879i | ||||
\(185\) | 23.7019 | + | 6.02690i | 1.74260 | + | 0.443107i | ||||
\(186\) | 9.62757 | − | 5.55848i | 0.705928 | − | 0.407567i | ||||
\(187\) | 9.69008i | 0.708609i | ||||||||
\(188\) | 3.94365 | + | 6.83060i | 0.287620 | + | 0.498172i | ||||
\(189\) | 0.320155 | + | 0.0857852i | 0.0232878 | + | 0.00623996i | ||||
\(190\) | 8.66788 | + | 4.85758i | 0.628834 | + | 0.352406i | ||||
\(191\) | 0.887123 | + | 1.53654i | 0.0641900 | + | 0.111180i | 0.896334 | − | 0.443379i | \(-0.146220\pi\) |
−0.832144 | + | 0.554559i | \(0.812887\pi\) | |||||||
\(192\) | −2.38987 | + | 0.640364i | −0.172474 | + | 0.0462143i | ||||
\(193\) | 10.2448 | + | 5.91481i | 0.737434 | + | 0.425758i | 0.821135 | − | 0.570733i | \(-0.193341\pi\) |
−0.0837018 | + | 0.996491i | \(0.526674\pi\) | |||||||
\(194\) | −5.75416 | −0.413124 | ||||||||
\(195\) | 10.9562 | − | 16.6692i | 0.784592 | − | 1.19371i | ||||
\(196\) | 5.78537 | 0.413241 | ||||||||
\(197\) | 1.62089 | + | 0.935821i | 0.115484 | + | 0.0666745i | 0.556629 | − | 0.830761i | \(-0.312094\pi\) |
−0.441146 | + | 0.897436i | \(0.645428\pi\) | |||||||
\(198\) | 10.0870 | − | 2.70281i | 0.716855 | − | 0.192081i | ||||
\(199\) | −9.52263 | − | 16.4937i | −0.675042 | − | 1.16921i | −0.976457 | − | 0.215713i | \(-0.930792\pi\) |
0.301415 | − | 0.953493i | \(-0.402541\pi\) | |||||||
\(200\) | 2.60999 | + | 4.26473i | 0.184554 | + | 0.301562i | ||||
\(201\) | 10.1920 | + | 2.73094i | 0.718890 | + | 0.192626i | ||||
\(202\) | 3.05446 | + | 5.29048i | 0.214911 | + | 0.372237i | ||||
\(203\) | − | 2.12318i | − | 0.149018i | ||||||
\(204\) | 6.20640 | − | 3.58326i | 0.434535 | − | 0.250879i | ||||
\(205\) | −2.58892 | + | 1.53922i | −0.180818 | + | 0.107504i | ||||
\(206\) | −15.4599 | + | 4.14246i | −1.07714 | + | 0.288619i | ||||
\(207\) | 16.5286 | + | 16.5286i | 1.14882 | + | 1.14882i | ||||
\(208\) | −3.59655 | − | 0.254593i | −0.249376 | − | 0.0176529i | ||||
\(209\) | 14.8657i | 1.02828i | ||||||||
\(210\) | −5.24097 | + | 3.11597i | −0.361661 | + | 0.215022i | ||||
\(211\) | 10.2796 | − | 17.8049i | 0.707680 | − | 1.22574i | −0.258036 | − | 0.966135i | \(-0.583075\pi\) |
0.965716 | − | 0.259602i | \(-0.0835915\pi\) | |||||||
\(212\) | 2.96281 | − | 11.0574i | 0.203487 | − | 0.759424i | ||||
\(213\) | 12.3234 | 0.844386 | ||||||||
\(214\) | −2.82498 | + | 10.5430i | −0.193112 | + | 0.720703i | ||||
\(215\) | −0.137677 | − | 10.7581i | −0.00938952 | − | 0.733695i | ||||
\(216\) | −0.212657 | − | 0.212657i | −0.0144695 | − | 0.0144695i | ||||
\(217\) | −4.78322 | − | 1.28166i | −0.324706 | − | 0.0870048i | ||||
\(218\) | 2.22714 | + | 8.31181i | 0.150841 | + | 0.562947i | ||||
\(219\) | −10.5284 | − | 39.2927i | −0.711446 | − | 2.65515i | ||||
\(220\) | −3.65707 | + | 6.52569i | −0.246560 | + | 0.439962i | ||||
\(221\) | 10.2534 | − | 1.98394i | 0.689719 | − | 0.133454i | ||||
\(222\) | 19.1346 | − | 19.1346i | 1.28423 | − | 1.28423i | ||||
\(223\) | −6.78661 | + | 11.7547i | −0.454465 | + | 0.787156i | −0.998657 | − | 0.0518044i | \(-0.983503\pi\) |
0.544193 | + | 0.838960i | \(0.316836\pi\) | |||||||
\(224\) | 0.954448 | + | 0.551051i | 0.0637717 | + | 0.0368186i | ||||
\(225\) | −7.45542 | + | 13.7120i | −0.497028 | + | 0.914133i | ||||
\(226\) | 6.27223 | − | 6.27223i | 0.417222 | − | 0.417222i | ||||
\(227\) | −16.3644 | + | 9.44797i | −1.08614 | + | 0.627084i | −0.932546 | − | 0.361050i | \(-0.882418\pi\) |
−0.153594 | + | 0.988134i | \(0.549085\pi\) | |||||||
\(228\) | 9.52131 | − | 5.49713i | 0.630564 | − | 0.364057i | ||||
\(229\) | 1.04861 | − | 1.04861i | 0.0692941 | − | 0.0692941i | −0.671610 | − | 0.740904i | \(-0.734397\pi\) |
0.740904 | + | 0.671610i | \(0.234397\pi\) | |||||||
\(230\) | −16.7429 | + | 0.214269i | −1.10400 | + | 0.0141285i | ||||
\(231\) | −7.90009 | − | 4.56112i | −0.519788 | − | 0.300100i | ||||
\(232\) | −0.963240 | + | 1.66838i | −0.0632398 | + | 0.109535i | ||||
\(233\) | −16.4473 | + | 16.4473i | −1.07750 | + | 1.07750i | −0.0807620 | + | 0.996733i | \(0.525735\pi\) |
−0.996733 | + | 0.0807620i | \(0.974265\pi\) | |||||||
\(234\) | −4.92516 | − | 10.1201i | −0.321968 | − | 0.661570i | ||||
\(235\) | −4.78229 | − | 16.9758i | −0.311962 | − | 1.10738i | ||||
\(236\) | −2.58065 | − | 9.63111i | −0.167986 | − | 0.626932i | ||||
\(237\) | 0.478898 | + | 1.78727i | 0.0311078 | + | 0.116096i | ||||
\(238\) | −3.08350 | − | 0.826220i | −0.199873 | − | 0.0535559i | ||||
\(239\) | 14.5791 | + | 14.5791i | 0.943047 | + | 0.943047i | 0.998463 | − | 0.0554167i | \(-0.0176487\pi\) |
−0.0554167 | + | 0.998463i | \(0.517649\pi\) | |||||||
\(240\) | 5.53198 | − | 0.0707959i | 0.357087 | − | 0.00456986i | ||||
\(241\) | −0.0783697 | + | 0.292480i | −0.00504823 | + | 0.0188403i | −0.968404 | − | 0.249387i | \(-0.919771\pi\) |
0.963356 | + | 0.268227i | \(0.0864377\pi\) | |||||||
\(242\) | −0.191763 | −0.0123270 | ||||||||
\(243\) | −5.75382 | + | 21.4735i | −0.369107 | + | 1.37753i | ||||
\(244\) | 3.68778 | − | 6.38743i | 0.236086 | − | 0.408913i | ||||
\(245\) | −12.5375 | − | 3.18803i | −0.800992 | − | 0.203676i | ||||
\(246\) | 3.33266i | 0.212483i | ||||||||
\(247\) | 15.7299 | − | 3.04359i | 1.00087 | − | 0.193659i | ||||
\(248\) | 3.17717 | + | 3.17717i | 0.201750 | + | 0.201750i | ||||
\(249\) | 25.2271 | − | 6.75958i | 1.59870 | − | 0.428371i | ||||
\(250\) | −3.30605 | − | 10.6804i | −0.209093 | − | 0.675485i | ||||
\(251\) | −9.76282 | + | 5.63657i | −0.616224 | + | 0.355777i | −0.775397 | − | 0.631474i | \(-0.782450\pi\) |
0.159174 | + | 0.987251i | \(0.449117\pi\) | |||||||
\(252\) | 3.44027i | 0.216716i | ||||||||
\(253\) | −12.5257 | − | 21.6951i | −0.787482 | − | 1.36396i | ||||
\(254\) | 3.20926 | + | 0.859919i | 0.201367 | + | 0.0539561i | ||||
\(255\) | −15.4245 | + | 4.34527i | −0.965918 | + | 0.272111i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 16.0275 | − | 4.29455i | 0.999767 | − | 0.267887i | 0.278419 | − | 0.960460i | \(-0.410190\pi\) |
0.721348 | + | 0.692573i | \(0.243523\pi\) | |||||||
\(258\) | −10.3097 | − | 5.95232i | −0.641855 | − | 0.370575i | ||||
\(259\) | −12.0538 | −0.748987 | ||||||||
\(260\) | 7.65381 | + | 2.53361i | 0.474669 | + | 0.157128i | ||||
\(261\) | −6.01361 | −0.372233 | ||||||||
\(262\) | 0.342752 | + | 0.197888i | 0.0211753 | + | 0.0122256i | ||||
\(263\) | −4.57715 | + | 1.22644i | −0.282239 | + | 0.0756257i | −0.397162 | − | 0.917749i | \(-0.630005\pi\) |
0.114922 | + | 0.993374i | \(0.463338\pi\) | |||||||
\(264\) | 4.13857 | + | 7.16821i | 0.254711 | + | 0.441173i | ||||
\(265\) | −12.5139 | + | 22.3298i | −0.768723 | + | 1.37171i | ||||
\(266\) | −4.73043 | − | 1.26752i | −0.290041 | − | 0.0777164i | ||||
\(267\) | 4.55980 | + | 7.89780i | 0.279055 | + | 0.483338i | ||||
\(268\) | 4.26467i | 0.260506i | ||||||||
\(269\) | 3.69062 | − | 2.13078i | 0.225021 | − | 0.129916i | −0.383252 | − | 0.923644i | \(-0.625196\pi\) |
0.608273 | + | 0.793728i | \(0.291863\pi\) | |||||||
\(270\) | 0.343665 | + | 0.578035i | 0.0209148 | + | 0.0351781i | ||||
\(271\) | −9.10585 | + | 2.43990i | −0.553141 | + | 0.148214i | −0.524553 | − | 0.851378i | \(-0.675768\pi\) |
−0.0285876 | + | 0.999591i | \(0.509101\pi\) | |||||||
\(272\) | 2.04816 | + | 2.04816i | 0.124188 | + | 0.124188i | ||||
\(273\) | −3.20882 | + | 9.29321i | −0.194207 | + | 0.562451i | ||||
\(274\) | 8.74901i | 0.528547i | ||||||||
\(275\) | 11.5212 | − | 12.1266i | 0.694757 | − | 0.731263i | ||||
\(276\) | −9.26366 | + | 16.0451i | −0.557607 | + | 0.965803i | ||||
\(277\) | −1.52395 | + | 5.68746i | −0.0915652 | + | 0.341726i | −0.996476 | − | 0.0838746i | \(-0.973270\pi\) |
0.904911 | + | 0.425601i | \(0.139937\pi\) | |||||||
\(278\) | −8.35839 | −0.501303 | ||||||||
\(279\) | −3.63013 | + | 13.5478i | −0.217330 | + | 0.811087i | ||||
\(280\) | −1.76473 | − | 1.72013i | −0.105463 | − | 0.102798i | ||||
\(281\) | 3.04681 | + | 3.04681i | 0.181757 | + | 0.181757i | 0.792121 | − | 0.610364i | \(-0.208977\pi\) |
−0.610364 | + | 0.792121i | \(0.708977\pi\) | |||||||
\(282\) | −18.8496 | − | 5.05074i | −1.12248 | − | 0.300767i | ||||
\(283\) | 1.29094 | + | 4.81786i | 0.0767385 | + | 0.286392i | 0.993622 | − | 0.112763i | \(-0.0359702\pi\) |
−0.916883 | + | 0.399155i | \(0.869303\pi\) | |||||||
\(284\) | 1.28913 | + | 4.81110i | 0.0764957 | + | 0.285486i | ||||
\(285\) | −23.6629 | + | 6.66614i | −1.40167 | + | 0.394868i | ||||
\(286\) | 2.29140 | + | 11.8424i | 0.135493 | + | 0.700256i | ||||
\(287\) | 1.04970 | − | 1.04970i | 0.0619620 | − | 0.0619620i | ||||
\(288\) | 1.56078 | − | 2.70334i | 0.0919696 | − | 0.159296i | ||||
\(289\) | 7.45658 | + | 4.30506i | 0.438622 | + | 0.253239i | ||||
\(290\) | 3.00680 | − | 3.08476i | 0.176566 | − | 0.181143i | ||||
\(291\) | 10.0669 | − | 10.0669i | 0.590134 | − | 0.590134i | ||||
\(292\) | 14.2386 | − | 8.22067i | 0.833252 | − | 0.481078i | ||||
\(293\) | 12.5246 | − | 7.23110i | 0.731697 | − | 0.422445i | −0.0873459 | − | 0.996178i | \(-0.527839\pi\) |
0.819043 | + | 0.573733i | \(0.194505\pi\) | |||||||
\(294\) | −10.1216 | + | 10.1216i | −0.590301 | + | 0.590301i | ||||
\(295\) | 0.285305 | + | 22.2937i | 0.0166111 | + | 1.29799i | ||||
\(296\) | 9.47181 | + | 5.46855i | 0.550538 | + | 0.317853i | ||||
\(297\) | −0.503053 | + | 0.871314i | −0.0291901 | + | 0.0505588i | ||||
\(298\) | 2.06990 | − | 2.06990i | 0.119906 | − | 0.119906i | ||||
\(299\) | −20.3918 | + | 17.6957i | −1.17929 | + | 1.02337i | ||||
\(300\) | −12.0274 | − | 2.89498i | −0.694401 | − | 0.167142i | ||||
\(301\) | 1.37247 | + | 5.12213i | 0.0791079 | + | 0.295235i | ||||
\(302\) | −3.76681 | − | 14.0579i | −0.216756 | − | 0.808943i | ||||
\(303\) | −14.5995 | − | 3.91194i | −0.838722 | − | 0.224735i | ||||
\(304\) | 3.14210 | + | 3.14210i | 0.180212 | + | 0.180212i | ||||
\(305\) | −11.5116 | + | 11.8101i | −0.659153 | + | 0.676243i | ||||
\(306\) | −2.34016 | + | 8.73358i | −0.133778 | + | 0.499266i | ||||
\(307\) | 17.0463 | 0.972881 | 0.486441 | − | 0.873714i | \(-0.338295\pi\) | ||||
0.486441 | + | 0.873714i | \(0.338295\pi\) | |||||||
\(308\) | 0.954261 | − | 3.56135i | 0.0543740 | − | 0.202927i | ||||
\(309\) | 19.7999 | − | 34.2944i | 1.12638 | − | 1.95094i | ||||
\(310\) | −5.13448 | − | 8.63604i | −0.291619 | − | 0.490494i | ||||
\(311\) | 27.4086i | 1.55420i | 0.629376 | + | 0.777101i | \(0.283310\pi\) | ||||
−0.629376 | + | 0.777101i | \(0.716690\pi\) | |||||||
\(312\) | 6.73761 | − | 5.84678i | 0.381442 | − | 0.331009i | ||||
\(313\) | 7.09857 | + | 7.09857i | 0.401235 | + | 0.401235i | 0.878668 | − | 0.477433i | \(-0.158433\pi\) |
−0.477433 | + | 0.878668i | \(0.658433\pi\) | |||||||
\(314\) | 9.18091 | − | 2.46002i | 0.518109 | − | 0.138827i | ||||
\(315\) | 1.89576 | − | 7.45542i | 0.106814 | − | 0.420065i | ||||
\(316\) | −0.647659 | + | 0.373926i | −0.0364337 | + | 0.0210350i | ||||
\(317\) | − | 20.9604i | − | 1.17725i | −0.808406 | − | 0.588626i | \(-0.799669\pi\) | ||
0.808406 | − | 0.588626i | \(-0.200331\pi\) | |||||||
\(318\) | 14.1615 | + | 24.5284i | 0.794137 | + | 1.37549i | ||||
\(319\) | 6.22526 | + | 1.66805i | 0.348548 | + | 0.0933930i | ||||
\(320\) | 0.606329 | + | 2.15229i | 0.0338948 | + | 0.120317i | ||||
\(321\) | −13.5027 | − | 23.3873i | −0.753646 | − | 1.30535i | ||||
\(322\) | 7.97163 | − | 2.13599i | 0.444241 | − | 0.119034i | ||||
\(323\) | −11.1466 | − | 6.43552i | −0.620216 | − | 0.358082i | ||||
\(324\) | −8.62057 | −0.478920 | ||||||||
\(325\) | −15.1905 | − | 9.70824i | −0.842615 | − | 0.538516i | ||||
\(326\) | −2.22571 | −0.123271 | ||||||||
\(327\) | −18.4380 | − | 10.6452i | −1.01962 | − | 0.588679i | ||||
\(328\) | −1.30108 | + | 0.348623i | −0.0718401 | + | 0.0192495i | ||||
\(329\) | 4.34630 | + | 7.52801i | 0.239619 | + | 0.415033i | ||||
\(330\) | −5.01866 | − | 17.8148i | −0.276268 | − | 0.980674i | ||||
\(331\) | 16.1510 | + | 4.32765i | 0.887741 | + | 0.237869i | 0.673744 | − | 0.738965i | \(-0.264685\pi\) |
0.213997 | + | 0.976834i | \(0.431352\pi\) | |||||||
\(332\) | 5.27792 | + | 9.14163i | 0.289664 | + | 0.501712i | ||||
\(333\) | 34.1408i | 1.87090i | ||||||||
\(334\) | 15.5262 | − | 8.96406i | 0.849556 | − | 0.490492i | ||||
\(335\) | 2.35005 | − | 9.24200i | 0.128397 | − | 0.504944i | ||||
\(336\) | −2.63388 | + | 0.705746i | −0.143690 | + | 0.0385016i | ||||
\(337\) | −13.3768 | − | 13.3768i | −0.728683 | − | 0.728683i | 0.241674 | − | 0.970357i | \(-0.422303\pi\) |
−0.970357 | + | 0.241674i | \(0.922303\pi\) | |||||||
\(338\) | 12.0617 | − | 4.84921i | 0.656071 | − | 0.263763i | ||||
\(339\) | 21.9466i | 1.19198i | ||||||||
\(340\) | −3.30993 | − | 5.56721i | −0.179506 | − | 0.301924i | ||||
\(341\) | 7.51579 | − | 13.0177i | 0.407003 | − | 0.704949i | ||||
\(342\) | −3.59007 | + | 13.3983i | −0.194129 | + | 0.724497i | ||||
\(343\) | 14.0908 | 0.760830 | ||||||||
\(344\) | 1.24532 | − | 4.64760i | 0.0671432 | − | 0.250582i | ||||
\(345\) | 28.9170 | − | 29.6667i | 1.55684 | − | 1.59720i | ||||
\(346\) | −6.07469 | − | 6.07469i | −0.326577 | − | 0.326577i | ||||
\(347\) | −4.30720 | − | 1.15411i | −0.231222 | − | 0.0619559i | 0.141347 | − | 0.989960i | \(-0.454857\pi\) |
−0.372570 | + | 0.928004i | \(0.621523\pi\) | |||||||
\(348\) | −1.23365 | − | 4.60404i | −0.0661305 | − | 0.246802i | ||||
\(349\) | −3.59895 | − | 13.4314i | −0.192647 | − | 0.718969i | −0.992863 | − | 0.119257i | \(-0.961949\pi\) |
0.800216 | − | 0.599712i | \(-0.204718\pi\) | |||||||
\(350\) | 2.87648 | + | 4.70017i | 0.153754 | + | 0.251234i | ||||
\(351\) | 1.02496 | + | 0.353906i | 0.0547085 | + | 0.0188901i | ||||
\(352\) | −2.36556 | + | 2.36556i | −0.126085 | + | 0.126085i | ||||
\(353\) | −0.495300 | + | 0.857885i | −0.0263622 | + | 0.0456606i | −0.878906 | − | 0.476996i | \(-0.841726\pi\) |
0.852543 | + | 0.522657i | \(0.175059\pi\) | |||||||
\(354\) | 21.3646 | + | 12.3348i | 1.13551 | + | 0.655589i | ||||
\(355\) | −0.142521 | − | 11.1365i | −0.00756421 | − | 0.591065i | ||||
\(356\) | −2.60633 | + | 2.60633i | −0.138135 | + | 0.138135i | ||||
\(357\) | 6.84008 | − | 3.94912i | 0.362015 | − | 0.209010i | ||||
\(358\) | 9.70428 | − | 5.60277i | 0.512887 | − | 0.296116i | ||||
\(359\) | 11.8127 | − | 11.8127i | 0.623450 | − | 0.623450i | −0.322962 | − | 0.946412i | \(-0.604679\pi\) |
0.946412 | + | 0.322962i | \(0.104679\pi\) | |||||||
\(360\) | −4.87205 | + | 4.99836i | −0.256779 | + | 0.263437i | ||||
\(361\) | −0.645736 | − | 0.372816i | −0.0339861 | − | 0.0196219i | ||||
\(362\) | −11.4208 | + | 19.7814i | −0.600262 | + | 1.03969i | ||||
\(363\) | 0.335491 | − | 0.335491i | 0.0176087 | − | 0.0176087i | ||||
\(364\) | −3.96376 | − | 0.280588i | −0.207758 | − | 0.0147068i | ||||
\(365\) | −35.3866 | + | 9.96885i | −1.85222 | + | 0.521793i | ||||
\(366\) | 4.72305 | + | 17.6267i | 0.246878 | + | 0.921360i | ||||
\(367\) | 8.34106 | + | 31.1292i | 0.435400 | + | 1.62493i | 0.740108 | + | 0.672488i | \(0.234774\pi\) |
−0.304708 | + | 0.952446i | \(0.598559\pi\) | |||||||
\(368\) | −7.23312 | − | 1.93811i | −0.377052 | − | 0.101031i | ||||
\(369\) | −2.97314 | − | 2.97314i | −0.154776 | − | 0.154776i | ||||
\(370\) | −17.5130 | − | 17.0704i | −0.910456 | − | 0.887447i | ||||
\(371\) | 3.26532 | − | 12.1863i | 0.169527 | − | 0.632684i | ||||
\(372\) | −11.1170 | −0.576387 | ||||||||
\(373\) | −0.652008 | + | 2.43333i | −0.0337597 | + | 0.125993i | −0.980749 | − | 0.195272i | \(-0.937441\pi\) |
0.946990 | + | 0.321264i | \(0.104108\pi\) | |||||||
\(374\) | 4.84504 | − | 8.39185i | 0.250531 | − | 0.433932i | ||||
\(375\) | 24.4693 | + | 12.9014i | 1.26359 | + | 0.666226i | ||||
\(376\) | − | 7.88729i | − | 0.406756i | ||||||
\(377\) | 0.490469 | − | 6.92868i | 0.0252604 | − | 0.356845i | ||||
\(378\) | −0.234370 | − | 0.234370i | −0.0120547 | − | 0.0120547i | ||||
\(379\) | −2.94373 | + | 0.788769i | −0.151209 | + | 0.0405163i | −0.333630 | − | 0.942704i | \(-0.608273\pi\) |
0.182420 | + | 0.983221i | \(0.441607\pi\) | |||||||
\(380\) | −5.07781 | − | 8.54073i | −0.260486 | − | 0.438130i | ||||
\(381\) | −7.11906 | + | 4.11019i | −0.364721 | + | 0.210572i | ||||
\(382\) | − | 1.77425i | − | 0.0907783i | ||||||
\(383\) | −0.0173775 | − | 0.0300987i | −0.000887948 | − | 0.00153797i | 0.865581 | − | 0.500769i | \(-0.166949\pi\) |
−0.866469 | + | 0.499231i | \(0.833616\pi\) | |||||||
\(384\) | 2.38987 | + | 0.640364i | 0.121958 | + | 0.0326784i | ||||
\(385\) | −4.03047 | + | 7.19197i | −0.205412 | + | 0.366537i | ||||
\(386\) | −5.91481 | − | 10.2448i | −0.301056 | − | 0.521444i | ||||
\(387\) | 14.5077 | − | 3.88734i | 0.737470 | − | 0.197604i | ||||
\(388\) | 4.98325 | + | 2.87708i | 0.252986 | + | 0.146062i | ||||
\(389\) | 21.2396 | 1.07689 | 0.538444 | − | 0.842661i | \(-0.319012\pi\) | ||||
0.538444 | + | 0.842661i | \(0.319012\pi\) | |||||||
\(390\) | −17.8230 | + | 8.95782i | −0.902501 | + | 0.453597i | ||||
\(391\) | 21.6900 | 1.09691 | ||||||||
\(392\) | −5.01028 | − | 2.89269i | −0.253057 | − | 0.146103i | ||||
\(393\) | −0.945853 | + | 0.253441i | −0.0477120 | + | 0.0127844i | ||||
\(394\) | −0.935821 | − | 1.62089i | −0.0471460 | − | 0.0816592i | ||||
\(395\) | 1.60960 | − | 0.453444i | 0.0809876 | − | 0.0228153i | ||||
\(396\) | −10.0870 | − | 2.70281i | −0.506893 | − | 0.135822i | ||||
\(397\) | 13.1279 | + | 22.7382i | 0.658870 | + | 1.14120i | 0.980909 | + | 0.194469i | \(0.0622985\pi\) |
−0.322039 | + | 0.946726i | \(0.604368\pi\) | |||||||
\(398\) | 19.0453i | 0.954653i | ||||||||
\(399\) | 10.4935 | − | 6.05840i | 0.525330 | − | 0.303299i | ||||
\(400\) | −0.127955 | − | 4.99836i | −0.00639775 | − | 0.249918i | ||||
\(401\) | −24.9456 | + | 6.68414i | −1.24572 | + | 0.333790i | −0.820682 | − | 0.571385i | \(-0.806406\pi\) |
−0.425039 | + | 0.905175i | \(0.639740\pi\) | |||||||
\(402\) | −7.46108 | − | 7.46108i | −0.372125 | − | 0.372125i | ||||
\(403\) | −15.3133 | − | 5.28748i | −0.762809 | − | 0.263388i | ||||
\(404\) | − | 6.10893i | − | 0.303930i | ||||||
\(405\) | 18.6817 | + | 4.75037i | 0.928300 | + | 0.236048i | ||||
\(406\) | −1.06159 | + | 1.83872i | −0.0526857 | + | 0.0912543i | ||||
\(407\) | 9.46996 | − | 35.3424i | 0.469408 | − | 1.75186i | ||||
\(408\) | −7.16653 | −0.354796 | ||||||||
\(409\) | −0.0367688 | + | 0.137223i | −0.00181810 | + | 0.00678525i | −0.966829 | − | 0.255425i | \(-0.917785\pi\) |
0.965011 | + | 0.262210i | \(0.0844513\pi\) | |||||||
\(410\) | 3.01168 | − | 0.0385423i | 0.148736 | − | 0.00190347i | ||||
\(411\) | −15.3065 | − | 15.3065i | −0.755012 | − | 0.755012i | ||||
\(412\) | 15.4599 | + | 4.14246i | 0.761653 | + | 0.204084i | ||||
\(413\) | −2.84413 | − | 10.6145i | −0.139951 | − | 0.522303i | ||||
\(414\) | −6.04990 | − | 22.5786i | −0.297337 | − | 1.10968i | ||||
\(415\) | −6.40031 | − | 22.7193i | −0.314179 | − | 1.11525i | ||||
\(416\) | 2.98741 | + | 2.01876i | 0.146470 | + | 0.0989779i | ||||
\(417\) | 14.6231 | − | 14.6231i | 0.716094 | − | 0.716094i | ||||
\(418\) | 7.43284 | − | 12.8741i | 0.363552 | − | 0.629691i | ||||
\(419\) | 14.9181 | + | 8.61299i | 0.728799 | + | 0.420772i | 0.817982 | − | 0.575243i | \(-0.195093\pi\) |
−0.0891839 | + | 0.996015i | \(0.528426\pi\) | |||||||
\(420\) | 6.09680 | − | 0.0780243i | 0.297493 | − | 0.00380720i | ||||
\(421\) | 10.5705 | − | 10.5705i | 0.515175 | − | 0.515175i | −0.400932 | − | 0.916108i | \(-0.631314\pi\) |
0.916108 | + | 0.400932i | \(0.131314\pi\) | |||||||
\(422\) | −17.8049 | + | 10.2796i | −0.866727 | + | 0.500405i | ||||
\(423\) | 21.3221 | − | 12.3103i | 1.03671 | − | 0.598547i | ||||
\(424\) | −8.09456 | + | 8.09456i | −0.393107 | + | 0.393107i | ||||
\(425\) | 4.10515 | + | 13.8887i | 0.199129 | + | 0.673699i | ||||
\(426\) | −10.6724 | − | 6.16171i | −0.517079 | − | 0.298536i | ||||
\(427\) | 4.06431 | − | 7.03960i | 0.196686 | − | 0.340670i | ||||
\(428\) | 7.71799 | − | 7.71799i | 0.373063 | − | 0.373063i | ||||
\(429\) | −24.7272 | − | 16.7096i | −1.19384 | − | 0.806745i | ||||
\(430\) | −5.25981 | + | 9.38561i | −0.253650 | + | 0.452614i | ||||
\(431\) | −4.93983 | − | 18.4357i | −0.237943 | − | 0.888015i | −0.976800 | − | 0.214153i | \(-0.931301\pi\) |
0.738857 | − | 0.673862i | \(-0.235366\pi\) | |||||||
\(432\) | 0.0778379 | + | 0.290495i | 0.00374498 | + | 0.0139764i | ||||
\(433\) | −14.6659 | − | 3.92970i | −0.704796 | − | 0.188849i | −0.111418 | − | 0.993774i | \(-0.535539\pi\) |
−0.593378 | + | 0.804924i | \(0.702206\pi\) | |||||||
\(434\) | 3.50156 | + | 3.50156i | 0.168080 | + | 0.168080i | ||||
\(435\) | 0.136387 | + | 10.6572i | 0.00653925 | + | 0.510975i | ||||
\(436\) | 2.22714 | − | 8.31181i | 0.106661 | − | 0.398064i | ||||
\(437\) | 33.2749 | 1.59176 | ||||||||
\(438\) | −10.5284 | + | 39.2927i | −0.503068 | + | 1.87748i | ||||
\(439\) | −7.91150 | + | 13.7031i | −0.377595 | + | 0.654014i | −0.990712 | − | 0.135978i | \(-0.956582\pi\) |
0.613117 | + | 0.789992i | \(0.289916\pi\) | |||||||
\(440\) | 6.42996 | − | 3.82288i | 0.306537 | − | 0.182248i | ||||
\(441\) | − | 18.0593i | − | 0.859969i | ||||||
\(442\) | −9.87169 | − | 3.40856i | −0.469548 | − | 0.162129i | ||||
\(443\) | −5.30191 | − | 5.30191i | −0.251901 | − | 0.251901i | 0.569848 | − | 0.821750i | \(-0.307002\pi\) |
−0.821750 | + | 0.569848i | \(0.807002\pi\) | |||||||
\(444\) | −26.1383 | + | 7.00373i | −1.24047 | + | 0.332382i | ||||
\(445\) | 7.08442 | − | 4.21197i | 0.335834 | − | 0.199667i | ||||
\(446\) | 11.7547 | − | 6.78661i | 0.556603 | − | 0.321355i | ||||
\(447\) | 7.24261i | 0.342564i | ||||||||
\(448\) | −0.551051 | − | 0.954448i | −0.0260347 | − | 0.0450934i | ||||
\(449\) | −29.1112 | − | 7.80033i | −1.37384 | − | 0.368120i | −0.504962 | − | 0.863141i | \(-0.668494\pi\) |
−0.868881 | + | 0.495021i | \(0.835160\pi\) | |||||||
\(450\) | 13.3126 | − | 8.14723i | 0.627561 | − | 0.384064i | ||||
\(451\) | 2.25309 | + | 3.90247i | 0.106094 | + | 0.183760i | ||||
\(452\) | −8.56802 | + | 2.29579i | −0.403006 | + | 0.107985i | ||||
\(453\) | 31.1845 | + | 18.0044i | 1.46518 | + | 0.845920i | ||||
\(454\) | 18.8959 | 0.886830 | ||||||||
\(455\) | 8.43527 | + | 2.79230i | 0.395452 | + | 0.130905i | ||||
\(456\) | −10.9943 | −0.514854 | ||||||||
\(457\) | 9.06439 | + | 5.23333i | 0.424014 | + | 0.244805i | 0.696793 | − | 0.717272i | \(-0.254609\pi\) |
−0.272779 | + | 0.962077i | \(0.587943\pi\) | |||||||
\(458\) | −1.43243 | + | 0.383818i | −0.0669329 | + | 0.0179346i | ||||
\(459\) | −0.435555 | − | 0.754403i | −0.0203300 | − | 0.0352125i | ||||
\(460\) | 14.6069 | + | 8.18590i | 0.681051 | + | 0.381669i | ||||
\(461\) | 28.9862 | + | 7.76684i | 1.35002 | + | 0.361738i | 0.860143 | − | 0.510052i | \(-0.170374\pi\) |
0.489880 | + | 0.871790i | \(0.337041\pi\) | |||||||
\(462\) | 4.56112 | + | 7.90009i | 0.212203 | + | 0.367546i | ||||
\(463\) | 17.5146i | 0.813971i | 0.913435 | + | 0.406986i | \(0.133420\pi\) | ||||
−0.913435 | + | 0.406986i | \(0.866580\pi\) | |||||||
\(464\) | 1.66838 | − | 0.963240i | 0.0774526 | − | 0.0447173i | ||||
\(465\) | 24.0916 | + | 6.12601i | 1.11722 | + | 0.284087i | ||||
\(466\) | 22.4674 | − | 6.02011i | 1.04078 | − | 0.278876i | ||||
\(467\) | 7.96893 | + | 7.96893i | 0.368758 | + | 0.368758i | 0.867024 | − | 0.498266i | \(-0.166030\pi\) |
−0.498266 | + | 0.867024i | \(0.666030\pi\) | |||||||
\(468\) | −0.794727 | + | 11.2268i | −0.0367363 | + | 0.518960i | ||||
\(469\) | 4.70010i | 0.217031i | ||||||||
\(470\) | −4.34630 | + | 17.0926i | −0.200480 | + | 0.788422i | ||||
\(471\) | −11.7583 | + | 20.3659i | −0.541792 | + | 0.938411i | ||||
\(472\) | −2.58065 | + | 9.63111i | −0.118784 | + | 0.443308i | ||||
\(473\) | −16.0966 | −0.740123 | ||||||||
\(474\) | 0.478898 | − | 1.78727i | 0.0219965 | − | 0.0820921i | ||||
\(475\) | 6.29777 | + | 21.3068i | 0.288962 | + | 0.977622i | ||||
\(476\) | 2.25728 | + | 2.25728i | 0.103462 | + | 0.103462i | ||||
\(477\) | −34.5162 | − | 9.24858i | −1.58039 | − | 0.423463i | ||||
\(478\) | −5.33634 | − | 19.9155i | −0.244078 | − | 0.910913i | ||||
\(479\) | −3.94104 | − | 14.7082i | −0.180071 | − | 0.672033i | −0.995632 | − | 0.0933628i | \(-0.970238\pi\) |
0.815561 | − | 0.578671i | \(-0.196428\pi\) | |||||||
\(480\) | −4.82623 | − | 2.70468i | −0.220286 | − | 0.123451i | ||||
\(481\) | −39.3359 | − | 2.78452i | −1.79356 | − | 0.126963i | ||||
\(482\) | 0.214110 | − | 0.214110i | 0.00975244 | − | 0.00975244i | ||||
\(483\) | −10.2095 | + | 17.6834i | −0.464548 | + | 0.804620i | ||||
\(484\) | 0.166072 | + | 0.0958815i | 0.00754871 | + | 0.00435825i | ||||
\(485\) | −9.21380 | − | 8.98095i | −0.418377 | − | 0.407804i | ||||
\(486\) | 15.7197 | − | 15.7197i | 0.713061 | − | 0.713061i | ||||
\(487\) | −28.2464 | + | 16.3081i | −1.27997 | + | 0.738990i | −0.976842 | − | 0.213960i | \(-0.931364\pi\) |
−0.303126 | + | 0.952950i | \(0.598030\pi\) | |||||||
\(488\) | −6.38743 | + | 3.68778i | −0.289145 | + | 0.166938i | ||||
\(489\) | 3.89390 | − | 3.89390i | 0.176088 | − | 0.176088i | ||||
\(490\) | 9.26378 | + | 9.02967i | 0.418495 | + | 0.407919i | ||||
\(491\) | 4.33762 | + | 2.50433i | 0.195754 | + | 0.113019i | 0.594674 | − | 0.803967i | \(-0.297281\pi\) |
−0.398919 | + | 0.916986i | \(0.630615\pi\) | |||||||
\(492\) | 1.66633 | − | 2.88617i | 0.0751239 | − | 0.130118i | ||||
\(493\) | −3.94573 | + | 3.94573i | −0.177707 | + | 0.177707i | ||||
\(494\) | −15.1443 | − | 5.22912i | −0.681374 | − | 0.235269i | ||||
\(495\) | 20.3703 | + | 11.4157i | 0.915576 | + | 0.513100i | ||||
\(496\) | −1.16292 | − | 4.34009i | −0.0522168 | − | 0.194876i | ||||
\(497\) | 1.42075 | + | 5.30231i | 0.0637294 | + | 0.237841i | ||||
\(498\) | −25.2271 | − | 6.75958i | −1.13045 | − | 0.302904i | ||||
\(499\) | −9.65310 | − | 9.65310i | −0.432132 | − | 0.432132i | 0.457221 | − | 0.889353i | \(-0.348845\pi\) |
−0.889353 | + | 0.457221i | \(0.848845\pi\) | |||||||
\(500\) | −2.47706 | + | 10.9025i | −0.110777 | + | 0.487574i | ||||
\(501\) | −11.4805 | + | 42.8459i | −0.512912 | + | 1.91421i | ||||
\(502\) | 11.2731 | 0.503145 | ||||||||
\(503\) | 6.80685 | − | 25.4035i | 0.303502 | − | 1.13269i | −0.630724 | − | 0.776007i | \(-0.717242\pi\) |
0.934227 | − | 0.356680i | \(-0.116091\pi\) | |||||||
\(504\) | 1.72013 | − | 2.97936i | 0.0766208 | − | 0.132711i | ||||
\(505\) | −3.36633 | + | 13.2387i | −0.149800 | + | 0.589114i | ||||
\(506\) | 25.0513i | 1.11367i | ||||||||
\(507\) | −12.6183 | + | 29.5858i | −0.560400 | + | 1.31395i | ||||
\(508\) | −2.34934 | − | 2.34934i | −0.104235 | − | 0.104235i | ||||
\(509\) | −27.3286 | + | 7.32267i | −1.21132 | + | 0.324572i | −0.807279 | − | 0.590170i | \(-0.799061\pi\) |
−0.404039 | + | 0.914742i | \(0.632394\pi\) | |||||||
\(510\) | 15.5306 | + | 3.94912i | 0.687707 | + | 0.174870i | ||||
\(511\) | 15.6924 | − | 9.06001i | 0.694191 | − | 0.400791i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −0.668191 | − | 1.15734i | −0.0295013 | − | 0.0510978i | ||||
\(514\) | −16.0275 | − | 4.29455i | −0.706942 | − | 0.189425i | ||||
\(515\) | −31.2205 | − | 17.4963i | −1.37574 | − | 0.770980i | ||||
\(516\) | 5.95232 | + | 10.3097i | 0.262036 | + | 0.453860i | ||||
\(517\) | −25.4871 | + | 6.82926i | −1.12092 | + | 0.300350i | ||||
\(518\) | 10.4389 | + | 6.02690i | 0.458659 | + | 0.264807i | ||||
\(519\) | 21.2554 | 0.933010 | ||||||||
\(520\) | −5.36159 | − | 6.02108i | −0.235121 | − | 0.264042i | ||||
\(521\) | 37.1583 | 1.62793 | 0.813967 | − | 0.580911i | \(-0.197303\pi\) | ||||
0.813967 | + | 0.580911i | \(0.197303\pi\) | |||||||
\(522\) | 5.20794 | + | 3.00680i | 0.227945 | + | 0.131604i | ||||
\(523\) | −19.3707 | + | 5.19038i | −0.847024 | + | 0.226959i | −0.656127 | − | 0.754651i | \(-0.727806\pi\) |
−0.190897 | + | 0.981610i | \(0.561140\pi\) | |||||||
\(524\) | −0.197888 | − | 0.342752i | −0.00864477 | − | 0.0149732i | ||||
\(525\) | −13.2554 | − | 3.19056i | −0.578513 | − | 0.139247i | ||||
\(526\) | 4.57715 | + | 1.22644i | 0.199573 | + | 0.0534755i | ||||
\(527\) | 6.50734 | + | 11.2710i | 0.283464 | + | 0.490974i | ||||
\(528\) | − | 8.27714i | − | 0.360216i | ||||||
\(529\) | −28.6431 | + | 16.5371i | −1.24535 | + | 0.719005i | ||||
\(530\) | 22.0023 | − | 13.0812i | 0.955718 | − | 0.568213i | ||||
\(531\) | −30.0640 | + | 8.05563i | −1.30467 | + | 0.349584i | ||||
\(532\) | 3.46292 | + | 3.46292i | 0.150136 | + | 0.150136i | ||||
\(533\) | 3.66805 | − | 3.18307i | 0.158881 | − | 0.137874i | ||||
\(534\) | − | 9.11960i | − | 0.394644i | ||||||
\(535\) | −20.9787 | + | 12.4727i | −0.906988 | + | 0.539241i | ||||
\(536\) | 2.13234 | − | 3.69332i | 0.0921029 | − | 0.159527i | ||||
\(537\) | −7.17563 | + | 26.7798i | −0.309651 | + | 1.15563i | ||||
\(538\) | −4.26156 | −0.183729 | ||||||||
\(539\) | −5.00930 | + | 18.6950i | −0.215766 | + | 0.805249i | ||||
\(540\) | −0.00860542 | − | 0.672426i | −0.000370319 | − | 0.0289366i | ||||
\(541\) | −26.3804 | − | 26.3804i | −1.13418 | − | 1.13418i | −0.989474 | − | 0.144710i | \(-0.953775\pi\) |
−0.144710 | − | 0.989474i | \(-0.546225\pi\) | |||||||
\(542\) | 9.10585 | + | 2.43990i | 0.391130 | + | 0.104803i | ||||
\(543\) | −14.6269 | − | 54.5884i | −0.627701 | − | 2.34261i | ||||
\(544\) | −0.749677 | − | 2.79783i | −0.0321421 | − | 0.119956i | ||||
\(545\) | −9.40668 | + | 16.7853i | −0.402938 | + | 0.719003i | ||||
\(546\) | 7.42553 | − | 6.44374i | 0.317783 | − | 0.275767i | ||||
\(547\) | 9.57195 | − | 9.57195i | 0.409267 | − | 0.409267i | −0.472216 | − | 0.881483i | \(-0.656546\pi\) |
0.881483 | + | 0.472216i | \(0.156546\pi\) | |||||||
\(548\) | 4.37451 | − | 7.57687i | 0.186870 | − | 0.323668i | ||||
\(549\) | −19.9387 | − | 11.5116i | −0.850963 | − | 0.491304i | ||||
\(550\) | −16.0410 | + | 4.74134i | −0.683991 | + | 0.202171i | ||||
\(551\) | −6.05320 | + | 6.05320i | −0.257875 | + | 0.257875i | ||||
\(552\) | 16.0451 | − | 9.26366i | 0.682926 | − | 0.394287i | ||||
\(553\) | −0.713786 | + | 0.412105i | −0.0303533 | + | 0.0175245i | ||||
\(554\) | 4.16351 | − | 4.16351i | 0.176890 | − | 0.176890i | ||||
\(555\) | 60.5038 | − | 0.774303i | 2.56824 | − | 0.0328673i | ||||
\(556\) | 7.23857 | + | 4.17919i | 0.306984 | + | 0.177237i | ||||
\(557\) | −0.204041 | + | 0.353409i | −0.00864550 | + | 0.0149744i | −0.870316 | − | 0.492494i | \(-0.836085\pi\) |
0.861670 | + | 0.507469i | \(0.169419\pi\) | |||||||
\(558\) | 9.91770 | − | 9.91770i | 0.419850 | − | 0.419850i | ||||
\(559\) | 3.29561 | + | 17.0324i | 0.139390 | + | 0.720393i | ||||
\(560\) | 0.668235 | + | 2.37205i | 0.0282381 | + | 0.100237i | ||||
\(561\) | 6.20518 | + | 23.1580i | 0.261983 | + | 0.977733i | ||||
\(562\) | −1.11521 | − | 4.16201i | −0.0470422 | − | 0.175564i | ||||
\(563\) | 12.7913 | + | 3.42741i | 0.539088 | + | 0.144448i | 0.518081 | − | 0.855331i | \(-0.326646\pi\) |
0.0210061 | + | 0.999779i | \(0.493313\pi\) | |||||||
\(564\) | 13.7989 | + | 13.7989i | 0.581038 | + | 0.581038i | ||||
\(565\) | 19.8329 | − | 0.253813i | 0.834376 | − | 0.0106780i | ||||
\(566\) | 1.29094 | − | 4.81786i | 0.0542623 | − | 0.202510i | ||||
\(567\) | −9.50074 | −0.398994 | ||||||||
\(568\) | 1.28913 | − | 4.81110i | 0.0540907 | − | 0.201869i | ||||
\(569\) | 10.9407 | − | 18.9499i | 0.458659 | − | 0.794421i | −0.540231 | − | 0.841516i | \(-0.681663\pi\) |
0.998890 | + | 0.0470959i | \(0.0149966\pi\) | |||||||
\(570\) | 23.8257 | + | 6.05840i | 0.997950 | + | 0.253758i | ||||
\(571\) | − | 13.4763i | − | 0.563964i | −0.959420 | − | 0.281982i | \(-0.909008\pi\) | ||
0.959420 | − | 0.281982i | \(-0.0909919\pi\) | |||||||
\(572\) | 3.93679 | − | 11.4015i | 0.164606 | − | 0.476721i | ||||
\(573\) | 3.10406 | + | 3.10406i | 0.129674 | + | 0.129674i | ||||
\(574\) | −1.43392 | + | 0.384218i | −0.0598507 | + | 0.0160370i | ||||
\(575\) | −27.1439 | − | 25.7888i | −1.13198 | − | 1.07547i | ||||
\(576\) | −2.70334 | + | 1.56078i | −0.112639 | + | 0.0650323i | ||||
\(577\) | − | 16.5356i | − | 0.688388i | −0.938899 | − | 0.344194i | \(-0.888152\pi\) | ||
0.938899 | − | 0.344194i | \(-0.111848\pi\) | |||||||
\(578\) | −4.30506 | − | 7.45658i | −0.179067 | − | 0.310153i | ||||
\(579\) | 28.2713 | + | 7.57527i | 1.17491 | + | 0.314817i | ||||
\(580\) | −4.14635 | + | 1.16808i | −0.172168 | + | 0.0485019i | ||||
\(581\) | 5.81680 | + | 10.0750i | 0.241322 | + | 0.417981i | ||||
\(582\) | −13.7517 | + | 3.68476i | −0.570026 | + | 0.152738i | ||||
\(583\) | 33.1656 | + | 19.1482i | 1.37358 | + | 0.793037i | ||||
\(584\) | −16.4413 | −0.680347 | ||||||||
\(585\) | 7.90881 | − | 23.8918i | 0.326989 | − | 0.987803i | ||||
\(586\) | −14.4622 | −0.597428 | ||||||||
\(587\) | −29.5013 | − | 17.0326i | −1.21765 | − | 0.703010i | −0.253234 | − | 0.967405i | \(-0.581494\pi\) |
−0.964414 | + | 0.264395i | \(0.914828\pi\) | |||||||
\(588\) | 13.8263 | − | 3.70475i | 0.570187 | − | 0.152781i | ||||
\(589\) | 9.98299 | + | 17.2910i | 0.411342 | + | 0.712465i | ||||
\(590\) | 10.8998 | − | 19.4495i | 0.448736 | − | 0.800725i | ||||
\(591\) | 4.47298 | + | 1.19853i | 0.183994 | + | 0.0493010i | ||||
\(592\) | −5.46855 | − | 9.47181i | −0.224756 | − | 0.389289i | ||||
\(593\) | − | 1.35571i | − | 0.0556721i | −0.999613 | − | 0.0278361i | \(-0.991138\pi\) | ||
0.999613 | − | 0.0278361i | \(-0.00886164\pi\) | |||||||
\(594\) | 0.871314 | − | 0.503053i | 0.0357504 | − | 0.0206405i | ||||
\(595\) | −3.64788 | − | 6.13563i | −0.149548 | − | 0.251536i | ||||
\(596\) | −2.82754 | + | 0.757636i | −0.115820 | + | 0.0310340i | ||||
\(597\) | −33.3198 | − | 33.3198i | −1.36369 | − | 1.36369i | ||||
\(598\) | 26.5077 | − | 5.12900i | 1.08398 | − | 0.209740i | ||||
\(599\) | − | 11.5295i | − | 0.471081i | −0.971864 | − | 0.235541i | \(-0.924314\pi\) | ||
0.971864 | − | 0.235541i | \(-0.0756861\pi\) | |||||||
\(600\) | 8.96853 | + | 8.52081i | 0.366139 | + | 0.347861i | ||||
\(601\) | −14.3330 | + | 24.8254i | −0.584654 | + | 1.01265i | 0.410264 | + | 0.911967i | \(0.365436\pi\) |
−0.994918 | + | 0.100684i | \(0.967897\pi\) | |||||||
\(602\) | 1.37247 | − | 5.12213i | 0.0559377 | − | 0.208762i | ||||
\(603\) | 13.3124 | 0.542123 | ||||||||
\(604\) | −3.76681 | + | 14.0579i | −0.153269 | + | 0.572009i | ||||
\(605\) | −0.307059 | − | 0.299299i | −0.0124837 | − | 0.0121682i | ||||
\(606\) | 10.6876 | + | 10.6876i | 0.434154 | + | 0.434154i | ||||
\(607\) | −40.9211 | − | 10.9648i | −1.66094 | − | 0.445046i | −0.698291 | − | 0.715814i | \(-0.746056\pi\) |
−0.962645 | + | 0.270768i | \(0.912722\pi\) | |||||||
\(608\) | −1.15009 | − | 4.29219i | −0.0466423 | − | 0.174071i | ||||
\(609\) | −1.35961 | − | 5.07412i | −0.0550940 | − | 0.205614i | ||||
\(610\) | 15.8744 | − | 4.47202i | 0.642735 | − | 0.181067i | ||||
\(611\) | 12.4445 | + | 25.5706i | 0.503451 | + | 1.03448i | ||||
\(612\) | 6.39343 | − | 6.39343i | 0.258439 | − | 0.258439i | ||||
\(613\) | 21.6229 | − | 37.4520i | 0.873342 | − | 1.51267i | 0.0148245 | − | 0.999890i | \(-0.495281\pi\) |
0.858518 | − | 0.512783i | \(-0.171386\pi\) | |||||||
\(614\) | −14.7625 | − | 8.52313i | −0.595766 | − | 0.343965i | ||||
\(615\) | −5.20153 | + | 5.33639i | −0.209746 | + | 0.215184i | ||||
\(616\) | −2.60709 | + | 2.60709i | −0.105043 | + | 0.105043i | ||||
\(617\) | 35.5212 | − | 20.5082i | 1.43003 | − | 0.825628i | 0.432908 | − | 0.901438i | \(-0.357487\pi\) |
0.997122 | + | 0.0758097i | \(0.0241541\pi\) | |||||||
\(618\) | −34.2944 | + | 19.7999i | −1.37952 | + | 0.796469i | ||||
\(619\) | −0.641455 | + | 0.641455i | −0.0257823 | + | 0.0257823i | −0.719880 | − | 0.694098i | \(-0.755803\pi\) |
0.694098 | + | 0.719880i | \(0.255803\pi\) | |||||||
\(620\) | 0.128568 | + | 10.0463i | 0.00516341 | + | 0.403468i | ||||
\(621\) | 1.95033 | + | 1.12602i | 0.0782639 | + | 0.0451857i | ||||
\(622\) | 13.7043 | − | 23.7366i | 0.549493 | − | 0.951750i | ||||
\(623\) | −2.87244 | + | 2.87244i | −0.115082 | + | 0.115082i | ||||
\(624\) | −8.75833 | + | 1.69466i | −0.350614 | + | 0.0678406i | ||||
\(625\) | 11.3759 | − | 22.2618i | 0.455035 | − | 0.890474i | ||||
\(626\) | −2.59826 | − | 9.69683i | −0.103847 | − | 0.387563i | ||||
\(627\) | 9.51945 | + | 35.5271i | 0.380170 | + | 1.41881i | ||||
\(628\) | −9.18091 | − | 2.46002i | −0.366358 | − | 0.0981654i | ||||
\(629\) | 22.4009 | + | 22.4009i | 0.893183 | + | 0.893183i | ||||
\(630\) | −5.36949 | + | 5.50870i | −0.213925 | + | 0.219472i | ||||
\(631\) | 2.01738 | − | 7.52898i | 0.0803108 | − | 0.299724i | −0.914074 | − | 0.405547i | \(-0.867081\pi\) |
0.994385 | + | 0.105823i | \(0.0337477\pi\) | |||||||
\(632\) | 0.747852 | 0.0297480 | ||||||||
\(633\) | 13.1654 | − | 49.1341i | 0.523279 | − | 1.95290i | ||||
\(634\) | −10.4802 | + | 18.1522i | −0.416221 | + | 0.720917i | ||||
\(635\) | 3.79667 | + | 6.38588i | 0.150666 | + | 0.253416i | ||||
\(636\) | − | 28.3230i | − | 1.12308i | ||||||
\(637\) | 20.8074 | + | 1.47292i | 0.824419 | + | 0.0583591i | ||||
\(638\) | −4.55721 | − | 4.55721i | −0.180422 | − | 0.180422i | ||||
\(639\) | 15.0181 | − | 4.02408i | 0.594106 | − | 0.159190i | ||||
\(640\) | 0.551051 | − | 2.16710i | 0.0217822 | − | 0.0856623i | ||||
\(641\) | 27.2442 | − | 15.7295i | 1.07608 | − | 0.621276i | 0.146245 | − | 0.989248i | \(-0.453281\pi\) |
0.929837 | + | 0.367972i | \(0.119948\pi\) | |||||||
\(642\) | 27.0054i | 1.06582i | ||||||||
\(643\) | −4.06494 | − | 7.04068i | −0.160305 | − | 0.277657i | 0.774673 | − | 0.632362i | \(-0.217915\pi\) |
−0.934978 | + | 0.354705i | \(0.884581\pi\) | |||||||
\(644\) | −7.97163 | − | 2.13599i | −0.314126 | − | 0.0841698i | ||||
\(645\) | −7.21812 | − | 25.6223i | −0.284213 | − | 1.00888i | ||||
\(646\) | 6.43552 | + | 11.1466i | 0.253202 | + | 0.438559i | ||||
\(647\) | −2.72310 | + | 0.729652i | −0.107056 | + | 0.0286856i | −0.311949 | − | 0.950099i | \(-0.600982\pi\) |
0.204893 | + | 0.978784i | \(0.434315\pi\) | |||||||
\(648\) | 7.46563 | + | 4.31028i | 0.293278 | + | 0.169324i | ||||
\(649\) | 33.3566 | 1.30936 | ||||||||
\(650\) | 8.30120 | + | 16.0028i | 0.325600 | + | 0.627682i | ||||
\(651\) | −12.2520 | −0.480194 | ||||||||
\(652\) | 1.92752 | + | 1.11286i | 0.0754876 | + | 0.0435828i | ||||
\(653\) | −5.60977 | + | 1.50313i | −0.219527 | + | 0.0588222i | −0.366906 | − | 0.930258i | \(-0.619583\pi\) |
0.147379 | + | 0.989080i | \(0.452916\pi\) | |||||||
\(654\) | 10.6452 | + | 18.4380i | 0.416259 | + | 0.720982i | ||||
\(655\) | 0.239970 | + | 0.851825i | 0.00937641 | + | 0.0332836i | ||||
\(656\) | 1.30108 | + | 0.348623i | 0.0507986 | + | 0.0136114i | ||||
\(657\) | −25.6612 | − | 44.4466i | −1.00114 | − | 1.73403i | ||||
\(658\) | − | 8.69260i | − | 0.338873i | ||||||
\(659\) | 1.91821 | − | 1.10748i | 0.0747228 | − | 0.0431413i | −0.462173 | − | 0.886790i | \(-0.652930\pi\) |
0.536896 | + | 0.843648i | \(0.319597\pi\) | |||||||
\(660\) | −4.56112 | + | 17.9374i | −0.177541 | + | 0.698213i | ||||
\(661\) | −27.4462 | + | 7.35419i | −1.06753 | + | 0.286045i | −0.749479 | − | 0.662028i | \(-0.769696\pi\) |
−0.318054 | + | 0.948073i | \(0.603029\pi\) | |||||||
\(662\) | −11.8234 | − | 11.8234i | −0.459528 | − | 0.459528i | ||||
\(663\) | 23.2339 | − | 11.3073i | 0.902330 | − | 0.439139i | ||||
\(664\) | − | 10.5558i | − | 0.409646i | ||||||
\(665\) | −5.59626 | − | 9.41275i | −0.217014 | − | 0.365011i | ||||
\(666\) | 17.0704 | − | 29.5668i | 0.661464 | − | 1.14569i | ||||
\(667\) | 3.73372 | − | 13.9344i | 0.144570 | − | 0.539544i | ||||
\(668\) | −17.9281 | −0.693660 | ||||||||
\(669\) | −8.69180 | + | 32.4382i | −0.336044 | + | 1.25413i | ||||
\(670\) | −6.65620 | + | 6.82878i | −0.257152 | + | 0.263819i | ||||
\(671\) | 17.4474 | + | 17.4474i | 0.673548 | + | 0.673548i | ||||
\(672\) | 2.63388 | + | 0.705746i | 0.101604 | + | 0.0272248i | ||||
\(673\) | 11.6518 | + | 43.4850i | 0.449142 | + | 1.67622i | 0.704762 | + | 0.709444i | \(0.251054\pi\) |
−0.255619 | + | 0.966778i | \(0.582279\pi\) | |||||||
\(674\) | 4.89627 | + | 18.2731i | 0.188597 | + | 0.703854i | ||||
\(675\) | −0.351892 | + | 1.46196i | −0.0135443 | + | 0.0562708i | ||||
\(676\) | −12.8704 | − | 1.83132i | −0.495014 | − | 0.0704353i | ||||
\(677\) | −22.4488 | + | 22.4488i | −0.862778 | + | 0.862778i | −0.991660 | − | 0.128882i | \(-0.958861\pi\) |
0.128882 | + | 0.991660i | \(0.458861\pi\) | |||||||
\(678\) | 10.9733 | − | 19.0063i | 0.421427 | − | 0.729934i | ||||
\(679\) | 5.49204 | + | 3.17083i | 0.210765 | + | 0.121685i | ||||
\(680\) | 0.0828811 | + | 6.47631i | 0.00317835 | + | 0.248355i | ||||
\(681\) | −33.0586 | + | 33.0586i | −1.26681 | + | 1.26681i | ||||
\(682\) | −13.0177 | + | 7.51579i | −0.498474 | + | 0.287794i | ||||
\(683\) | 25.5934 | − | 14.7764i | 0.979305 | − | 0.565402i | 0.0772447 | − | 0.997012i | \(-0.475388\pi\) |
0.902060 | + | 0.431610i | \(0.142054\pi\) | |||||||
\(684\) | 9.80824 | − | 9.80824i | 0.375027 | − | 0.375027i | ||||
\(685\) | −13.6553 | + | 14.0093i | −0.521740 | + | 0.535267i | ||||
\(686\) | −12.2030 | − | 7.04539i | −0.465912 | − | 0.268994i | ||||
\(687\) | 1.83455 | − | 3.17753i | 0.0699925 | − | 0.121231i | ||||
\(688\) | −3.40228 | + | 3.40228i | −0.129711 | + | 0.129711i | ||||
\(689\) | 13.4711 | − | 39.0141i | 0.513206 | − | 1.48632i | ||||
\(690\) | −39.8762 | + | 11.2336i | −1.51806 | + | 0.427657i | ||||
\(691\) | 3.05516 | + | 11.4020i | 0.116224 | + | 0.433753i | 0.999376 | − | 0.0353343i | \(-0.0112496\pi\) |
−0.883152 | + | 0.469087i | \(0.844583\pi\) | |||||||
\(692\) | 2.22349 | + | 8.29818i | 0.0845244 | + | 0.315450i | ||||
\(693\) | −11.1169 | − | 2.97877i | −0.422298 | − | 0.113154i | ||||
\(694\) | 3.15309 | + | 3.15309i | 0.119690 | + | 0.119690i | ||||
\(695\) | −13.3838 | − | 13.0456i | −0.507677 | − | 0.494847i | ||||
\(696\) | −1.23365 | + | 4.60404i | −0.0467613 | + | 0.174516i | ||||
\(697\) | −3.90156 | −0.147782 | ||||||||
\(698\) | −3.59895 | + | 13.4314i | −0.136222 | + | 0.508388i | ||||
\(699\) | −28.7746 | + | 49.8391i | −1.08836 | + | 1.88509i | ||||
\(700\) | −0.141019 | − | 5.50870i | −0.00533003 | − | 0.208209i | ||||
\(701\) | 17.5090i | 0.661306i | 0.943752 | + | 0.330653i | \(0.107269\pi\) | ||||
−0.943752 | + | 0.330653i | \(0.892731\pi\) | |||||||
\(702\) | −0.710691 | − | 0.818973i | −0.0268233 | − | 0.0309101i | ||||
\(703\) | 34.3655 | + | 34.3655i | 1.29612 | + | 1.29612i | ||||
\(704\) | 3.23142 | − | 0.865856i | 0.121789 | − | 0.0326332i | ||||
\(705\) | −22.2997 | − | 37.5075i | −0.839857 | − | 1.41261i | ||||
\(706\) | 0.857885 | − | 0.495300i | 0.0322869 | − | 0.0186409i | ||||
\(707\) | − | 6.73265i | − | 0.253208i | ||||||
\(708\) | −12.3348 | − | 21.3646i | −0.463571 | − | 0.802929i | ||||
\(709\) | −14.1418 | − | 3.78927i | −0.531105 | − | 0.142309i | −0.0167065 | − | 0.999860i | \(-0.505318\pi\) |
−0.514398 | + | 0.857551i | \(0.671985\pi\) | |||||||
\(710\) | −5.44483 | + | 9.71577i | −0.204341 | + | 0.364626i | ||||
\(711\) | 1.16723 | + | 2.02170i | 0.0437746 | + | 0.0758198i | ||||
\(712\) | 3.56032 | − | 0.953984i | 0.133428 | − | 0.0357521i | ||||
\(713\) | −29.1385 | − | 16.8231i | −1.09125 | − | 0.630031i | ||||
\(714\) | −7.89824 | −0.295584 | ||||||||
\(715\) | −14.8143 | + | 22.5389i | −0.554022 | + | 0.842907i | ||||
\(716\) | −11.2055 | −0.418771 | ||||||||
\(717\) | 44.1783 | + | 25.5063i | 1.64987 | + | 0.952551i | ||||
\(718\) | −16.1364 | + | 4.32374i | −0.602206 | + | 0.161361i | ||||
\(719\) | 20.1467 | + | 34.8952i | 0.751346 | + | 1.30137i | 0.947170 | + | 0.320731i | \(0.103929\pi\) |
−0.195824 | + | 0.980639i | \(0.562738\pi\) | |||||||
\(720\) | 6.71850 | − | 1.89269i | 0.250384 | − | 0.0705363i | ||||
\(721\) | 17.0383 | + | 4.56541i | 0.634541 | + | 0.170025i | ||||
\(722\) | 0.372816 | + | 0.645736i | 0.0138748 | + | 0.0240318i | ||||
\(723\) | 0.749174i | 0.0278621i | ||||||||
\(724\) | 19.7814 | − | 11.4208i | 0.735168 | − | 0.424450i | ||||
\(725\) | 9.62924 | − | 0.246502i | 0.357621 | − | 0.00915487i | ||||
\(726\) | −0.458289 | + | 0.122798i | −0.0170087 | + | 0.00455747i | ||||
\(727\) | −9.49105 | − | 9.49105i | −0.352004 | − | 0.352004i | 0.508851 | − | 0.860855i | \(-0.330070\pi\) |
−0.860855 | + | 0.508851i | \(0.830070\pi\) | |||||||
\(728\) | 3.29243 | + | 2.22488i | 0.122025 | + | 0.0824595i | ||||
\(729\) | 29.1418i | 1.07933i | ||||||||
\(730\) | 35.6301 | + | 9.06001i | 1.31873 | + | 0.335326i | ||||
\(731\) | 6.96840 | − | 12.0696i | 0.257736 | − | 0.446411i | ||||
\(732\) | 4.72305 | − | 17.6267i | 0.174569 | − | 0.651500i | ||||
\(733\) | 4.54882 | 0.168015 | 0.0840073 | − | 0.996465i | \(-0.473228\pi\) | ||||
0.0840073 | + | 0.996465i | \(0.473228\pi\) | |||||||
\(734\) | 8.34106 | − | 31.1292i | 0.307874 | − | 1.14900i | ||||
\(735\) | −32.0045 | + | 0.409581i | −1.18051 | + | 0.0151076i | ||||
\(736\) | 5.29501 | + | 5.29501i | 0.195177 | + | 0.195177i | ||||
\(737\) | −13.7809 | − | 3.69259i | −0.507628 | − | 0.136018i | ||||
\(738\) | 1.08825 | + | 4.06139i | 0.0400589 | + | 0.149502i | ||||
\(739\) | −5.30194 | − | 19.7871i | −0.195035 | − | 0.727881i | −0.992258 | − | 0.124196i | \(-0.960365\pi\) |
0.797223 | − | 0.603685i | \(-0.206302\pi\) | |||||||
\(740\) | 6.63148 | + | 23.5399i | 0.243778 | + | 0.865343i | ||||
\(741\) | 35.6434 | − | 17.3467i | 1.30939 | − | 0.637245i | ||||
\(742\) | −8.92103 | + | 8.92103i | −0.327501 | + | 0.327501i | ||||
\(743\) | −4.09115 | + | 7.08607i | −0.150090 | + | 0.259963i | −0.931260 | − | 0.364355i | \(-0.881290\pi\) |
0.781171 | + | 0.624318i | \(0.214623\pi\) | |||||||
\(744\) | 9.62757 | + | 5.55848i | 0.352964 | + | 0.203784i | ||||
\(745\) | 6.54507 | − | 0.0837610i | 0.239793 | − | 0.00306877i | ||||
\(746\) | 1.78132 | − | 1.78132i | 0.0652187 | − | 0.0652187i | ||||
\(747\) | 28.5361 | − | 16.4753i | 1.04408 | − | 0.602800i | ||||
\(748\) | −8.39185 | + | 4.84504i | −0.306837 | + | 0.177152i | ||||
\(749\) | 8.50601 | − | 8.50601i | 0.310803 | − | 0.310803i | ||||
\(750\) | −14.7403 | − | 23.4076i | −0.538241 | − | 0.854725i | ||||
\(751\) | 21.5801 | + | 12.4593i | 0.787469 | + | 0.454645i | 0.839071 | − | 0.544022i | \(-0.183099\pi\) |
−0.0516018 | + | 0.998668i | \(0.516433\pi\) | |||||||
\(752\) | −3.94365 | + | 6.83060i | −0.143810 | + | 0.249086i | ||||
\(753\) | −19.7224 | + | 19.7224i | −0.718725 | + | 0.718725i | ||||
\(754\) | −3.88910 | + | 5.75518i | −0.141633 | + | 0.209591i | ||||
\(755\) | 15.9097 | − | 28.3893i | 0.579014 | − | 1.03319i | ||||
\(756\) | 0.0857852 | + | 0.320155i | 0.00311998 | + | 0.0116439i | ||||
\(757\) | 3.56508 | + | 13.3051i | 0.129575 | + | 0.483581i | 0.999961 | − | 0.00878853i | \(-0.00279751\pi\) |
−0.870386 | + | 0.492370i | \(0.836131\pi\) | |||||||
\(758\) | 2.94373 | + | 0.788769i | 0.106921 | + | 0.0286494i | ||||
\(759\) | −43.8275 | − | 43.8275i | −1.59084 | − | 1.59084i | ||||
\(760\) | 0.127149 | + | 9.93539i | 0.00461218 | + | 0.360395i | ||||
\(761\) | 8.43875 | − | 31.4939i | 0.305905 | − | 1.14165i | −0.626259 | − | 0.779615i | \(-0.715415\pi\) |
0.932164 | − | 0.362036i | \(-0.117918\pi\) | |||||||
\(762\) | 8.22039 | 0.297793 | ||||||||
\(763\) | 2.45454 | − | 9.16046i | 0.0888602 | − | 0.331631i | ||||
\(764\) | −0.887123 | + | 1.53654i | −0.0320950 | + | 0.0555901i | ||||
\(765\) | −17.3783 | + | 10.3321i | −0.628315 | + | 0.373559i | ||||
\(766\) | 0.0347550i | 0.00125575i | ||||||||
\(767\) | −6.82941 | − | 35.2958i | −0.246596 | − | 1.27446i | ||||
\(768\) | −1.74951 | − | 1.74951i | −0.0631299 | − | 0.0631299i | ||||
\(769\) | −4.09555 | + | 1.09740i | −0.147689 | + | 0.0395732i | −0.331906 | − | 0.943312i | \(-0.607692\pi\) |
0.184217 | + | 0.982886i | \(0.441025\pi\) | |||||||
\(770\) | 7.08647 | − | 4.21320i | 0.255379 | − | 0.151833i | ||||
\(771\) | 35.5535 | − | 20.5269i | 1.28043 | − | 0.739256i | ||||
\(772\) | 11.8296i | 0.425758i | ||||||||
\(773\) | −18.8879 | − | 32.7148i | −0.679350 | − | 1.17667i | −0.975177 | − | 0.221427i | \(-0.928929\pi\) |
0.295827 | − | 0.955241i | \(-0.404405\pi\) | |||||||
\(774\) | −14.5077 | − | 3.88734i | −0.521470 | − | 0.139727i | ||||
\(775\) | 5.25738 | − | 21.8422i | 0.188851 | − | 0.784593i | ||||
\(776\) | −2.87708 | − | 4.98325i | −0.103281 | − | 0.178888i | ||||
\(777\) | −28.8070 | + | 7.71882i | −1.03345 | + | 0.276911i | ||||
\(778\) | −18.3940 | − | 10.6198i | −0.659457 | − | 0.380737i | ||||
\(779\) | −5.98543 | −0.214450 | ||||||||
\(780\) | 19.9141 | + | 1.15378i | 0.713038 | + | 0.0413121i | ||||
\(781\) | −16.6629 | −0.596244 | ||||||||
\(782\) | −18.7841 | − | 10.8450i | −0.671718 | − | 0.387817i | ||||
\(783\) | −0.559633 | + | 0.149953i | −0.0199996 | + | 0.00535889i | ||||
\(784\) | 2.89269 | + | 5.01028i | 0.103310 | + | 0.178939i | ||||
\(785\) | 18.5404 | + | 10.3903i | 0.661735 | + | 0.370844i | ||||
\(786\) | 0.945853 | + | 0.253441i | 0.0337375 | + | 0.00903993i | ||||
\(787\) | 8.13472 | + | 14.0897i | 0.289971 | + | 0.502245i | 0.973803 | − | 0.227395i | \(-0.0730209\pi\) |
−0.683831 | + | 0.729640i | \(0.739688\pi\) | |||||||
\(788\) | 1.87164i | 0.0666745i | ||||||||
\(789\) | −10.1534 | + | 5.86208i | −0.361472 | + | 0.208696i | ||||
\(790\) | −1.62067 | − | 0.412105i | −0.0576610 | − | 0.0146620i | ||||
\(791\) | −9.44283 | + | 2.53020i | −0.335748 | + | 0.0899635i | ||||
\(792\) | 7.38422 | + | 7.38422i | 0.262387 | + | 0.262387i | ||||
\(793\) | 14.8895 | − | 22.0338i | 0.528742 | − | 0.782444i | ||||
\(794\) | − | 26.2558i | − | 0.931782i | ||||||
\(795\) | −15.6074 | + | 61.3789i | −0.553537 | + | 2.17688i | ||||
\(796\) | 9.52263 | − | 16.4937i | 0.337521 | − | 0.584603i | ||||
\(797\) | −8.62476 | + | 32.1880i | −0.305505 | + | 1.14016i | 0.627005 | + | 0.779015i | \(0.284280\pi\) |
−0.932510 | + | 0.361144i | \(0.882386\pi\) | |||||||
\(798\) | −12.1168 | −0.428930 | ||||||||
\(799\) | 5.91292 | − | 22.0673i | 0.209184 | − | 0.780686i | ||||
\(800\) | −2.38837 | + | 4.39269i | −0.0844416 | + | 0.155305i | ||||
\(801\) | 8.13580 | + | 8.13580i | 0.287464 | + | 0.287464i | ||||
\(802\) | 24.9456 | + | 6.68414i | 0.880858 | + | 0.236025i | ||||
\(803\) | 14.2358 | + | 53.1288i | 0.502371 | + | 1.87487i | ||||
\(804\) | 2.73094 | + | 10.1920i | 0.0963130 | + | 0.359445i | ||||
\(805\) | 16.0983 | + | 9.02169i | 0.567391 | + | 0.317973i | ||||
\(806\) | 10.6180 | + | 12.2357i | 0.374002 | + | 0.430985i | ||||
\(807\) | 7.45564 | − | 7.45564i | 0.262451 | − | 0.262451i | ||||
\(808\) | −3.05446 | + | 5.29048i | −0.107456 | + | 0.186119i | ||||
\(809\) | 0.775625 | + | 0.447807i | 0.0272695 | + | 0.0157441i | 0.513573 | − | 0.858046i | \(-0.328322\pi\) |
−0.486303 | + | 0.873790i | \(0.661655\pi\) | |||||||
\(810\) | −13.8036 | − | 13.4548i | −0.485010 | − | 0.472753i | ||||
\(811\) | −16.2913 | + | 16.2913i | −0.572063 | + | 0.572063i | −0.932705 | − | 0.360641i | \(-0.882558\pi\) |
0.360641 | + | 0.932705i | \(0.382558\pi\) | |||||||
\(812\) | 1.83872 | − | 1.06159i | 0.0645266 | − | 0.0372544i | ||||
\(813\) | −20.1994 | + | 11.6621i | −0.708423 | + | 0.409008i | ||||
\(814\) | −25.8724 | + | 25.8724i | −0.906827 | + | 0.906827i | ||||
\(815\) | −3.56390 | − | 3.47384i | −0.124838 | − | 0.121683i | ||||
\(816\) | 6.20640 | + | 3.58326i | 0.217267 | + | 0.125439i | ||||
\(817\) | 10.6903 | − | 18.5162i | 0.374007 | − | 0.647799i | ||||
\(818\) | 0.100454 | − | 0.100454i | 0.00351230 | − | 0.00351230i | ||||
\(819\) | −0.875870 | + | 12.3731i | −0.0306054 | + | 0.432351i | ||||
\(820\) | −2.62747 | − | 1.47246i | −0.0917551 | − | 0.0514207i | ||||
\(821\) | −7.23200 | − | 26.9902i | −0.252399 | − | 0.941965i | −0.969519 | − | 0.245016i | \(-0.921207\pi\) |
0.717120 | − | 0.696949i | \(-0.245460\pi\) | |||||||
\(822\) | 5.60255 | + | 20.9090i | 0.195412 | + | 0.729286i | ||||
\(823\) | −20.8667 | − | 5.59121i | −0.727366 | − | 0.194897i | −0.123910 | − | 0.992293i | \(-0.539543\pi\) |
−0.603456 | + | 0.797396i | \(0.706210\pi\) | |||||||
\(824\) | −11.3174 | − | 11.3174i | −0.394261 | − | 0.394261i | ||||
\(825\) | 19.7689 | − | 36.3589i | 0.688263 | − | 1.26585i | ||||
\(826\) | −2.84413 | + | 10.6145i | −0.0989601 | + | 0.369324i | ||||
\(827\) | 35.4430 | 1.23247 | 0.616237 | − | 0.787561i | \(-0.288656\pi\) | ||||
0.616237 | + | 0.787561i | \(0.288656\pi\) | |||||||
\(828\) | −6.04990 | + | 22.5786i | −0.210249 | + | 0.784659i | ||||
\(829\) | −16.7195 | + | 28.9590i | −0.580693 | + | 1.00579i | 0.414705 | + | 0.909956i | \(0.363885\pi\) |
−0.995397 | + | 0.0958333i | \(0.969448\pi\) | |||||||
\(830\) | −5.81680 | + | 22.8756i | −0.201904 | + | 0.794024i | ||||
\(831\) | 14.5682i | 0.505364i | ||||||||
\(832\) | −1.57779 | − | 3.24200i | −0.0547001 | − | 0.112396i | ||||
\(833\) | −11.8493 | − | 11.8493i | −0.410556 | − | 0.410556i | ||||
\(834\) | −19.9755 | + | 5.35241i | −0.691694 | + | 0.185339i | ||||
\(835\) | 38.8521 | + | 9.87930i | 1.34453 | + | 0.341887i | ||||
\(836\) | −12.8741 | + | 7.43284i | −0.445259 | + | 0.257070i | ||||
\(837\) | 1.35129i | 0.0467076i | ||||||||
\(838\) | −8.61299 | − | 14.9181i | −0.297531 | − | 0.515338i | ||||
\(839\) | −13.5758 | − | 3.63763i | −0.468690 | − | 0.125585i | 0.0167414 | − | 0.999860i | \(-0.494671\pi\) |
−0.485431 | + | 0.874275i | \(0.661337\pi\) | |||||||
\(840\) | −5.31899 | − | 2.98083i | −0.183523 | − | 0.102848i | ||||
\(841\) | −12.6443 | − | 21.9006i | −0.436012 | − | 0.755194i | ||||
\(842\) | −14.4396 | + | 3.86908i | −0.497621 | + | 0.133337i | ||||
\(843\) | 9.23254 | + | 5.33041i | 0.317986 | + | 0.183589i | ||||
\(844\) | 20.5593 | 0.707680 | ||||||||
\(845\) | 26.8823 | + | 11.0609i | 0.924779 | + | 0.380506i | ||||
\(846\) | −24.6206 | −0.846474 | ||||||||
\(847\) | 0.183028 | + | 0.105671i | 0.00628891 | + | 0.00363090i | ||||
\(848\) | 11.0574 | − | 2.96281i | 0.379712 | − | 0.101743i | ||||
\(849\) | 6.17037 | + | 10.6874i | 0.211766 | + | 0.366790i | ||||
\(850\) | 3.38916 | − | 14.0805i | 0.116247 | − | 0.482958i | ||||
\(851\) | −79.1094 | − | 21.1973i | −2.71183 | − | 0.726634i | ||||
\(852\) | 6.16171 | + | 10.6724i | 0.211097 | + | 0.365630i | ||||
\(853\) | 17.8954i | 0.612726i | 0.951915 | + | 0.306363i | \(0.0991122\pi\) | ||||
−0.951915 | + | 0.306363i | \(0.900888\pi\) | |||||||
\(854\) | −7.03960 | + | 4.06431i | −0.240890 | + | 0.139078i | ||||
\(855\) | −26.6603 | + | 15.8506i | −0.911764 | + | 0.542081i | ||||
\(856\) | −10.5430 | + | 2.82498i | −0.360351 | + | 0.0965559i | ||||
\(857\) | 40.3064 | + | 40.3064i | 1.37684 | + | 1.37684i | 0.849908 | + | 0.526931i | \(0.176657\pi\) |
0.526931 | + | 0.849908i | \(0.323343\pi\) | |||||||
\(858\) | 13.0596 | + | 26.8345i | 0.445847 | + | 0.916114i | ||||
\(859\) | − | 30.3863i | − | 1.03677i | −0.855148 | − | 0.518384i | \(-0.826534\pi\) | ||
0.855148 | − | 0.518384i | \(-0.173466\pi\) | |||||||
\(860\) | 9.24793 | − | 5.49827i | 0.315352 | − | 0.187489i | ||||
\(861\) | 1.83646 | − | 3.18085i | 0.0625865 | − | 0.108403i | ||||
\(862\) | −4.93983 | + | 18.4357i | −0.168251 | + | 0.627922i | ||||
\(863\) | −33.0724 | −1.12580 | −0.562898 | − | 0.826526i | \(-0.690314\pi\) | ||||
−0.562898 | + | 0.826526i | \(0.690314\pi\) | |||||||
\(864\) | 0.0778379 | − | 0.290495i | 0.00264810 | − | 0.00988284i | ||||
\(865\) | −0.245820 | − | 19.2083i | −0.00835812 | − | 0.653101i | ||||
\(866\) | 10.7361 | + | 10.7361i | 0.364829 | + | 0.364829i | ||||
\(867\) | 20.5771 | + | 5.51361i | 0.698834 | + | 0.187252i | ||||
\(868\) | −1.28166 | − | 4.78322i | −0.0435024 | − | 0.162353i | ||||
\(869\) | −0.647532 | − | 2.41662i | −0.0219660 | − | 0.0819783i | ||||
\(870\) | 5.21050 | − | 9.29763i | 0.176653 | − | 0.315219i | ||||
\(871\) | −1.08576 | + | 15.3381i | −0.0367895 | + | 0.519712i | ||||
\(872\) | −6.08467 | + | 6.08467i | −0.206053 | + | 0.206053i | ||||
\(873\) | 8.98095 | − | 15.5555i | 0.303959 | − | 0.526473i | ||||
\(874\) | −28.8169 | − | 16.6375i | −0.974747 | − | 0.562771i | ||||
\(875\) | −2.72997 | + | 12.0156i | −0.0922898 | + | 0.406203i | ||||
\(876\) | 28.7642 | − | 28.7642i | 0.971853 | − | 0.971853i | ||||
\(877\) | 12.8063 | − | 7.39372i | 0.432438 | − | 0.249668i | −0.267947 | − | 0.963434i | \(-0.586345\pi\) |
0.700385 | + | 0.713766i | \(0.253012\pi\) | |||||||
\(878\) | 13.7031 | − | 7.91150i | 0.462458 | − | 0.267000i | ||||
\(879\) | 25.3017 | − | 25.3017i | 0.853406 | − | 0.853406i | ||||
\(880\) | −7.47995 | + | 0.0957253i | −0.252149 | + | 0.00322690i | ||||
\(881\) | 32.6512 | + | 18.8512i | 1.10005 | + | 0.635112i | 0.936233 | − | 0.351379i | \(-0.114287\pi\) |
0.163813 | + | 0.986491i | \(0.447621\pi\) | |||||||
\(882\) | −9.02967 | + | 15.6399i | −0.304045 | + | 0.526621i | ||||
\(883\) | −37.7053 | + | 37.7053i | −1.26888 | + | 1.26888i | −0.322219 | + | 0.946665i | \(0.604429\pi\) |
−0.946665 | + | 0.322219i | \(0.895571\pi\) | |||||||
\(884\) | 6.84485 | + | 7.88775i | 0.230217 | + | 0.265294i | ||||
\(885\) | 14.9579 | + | 53.0963i | 0.502805 | + | 1.78481i | ||||
\(886\) | 1.94063 | + | 7.24255i | 0.0651969 | + | 0.243318i | ||||
\(887\) | −13.1490 | − | 49.0728i | −0.441501 | − | 1.64770i | −0.725013 | − | 0.688735i | \(-0.758166\pi\) |
0.283513 | − | 0.958968i | \(-0.408500\pi\) | |||||||
\(888\) | 26.1383 | + | 7.00373i | 0.877143 | + | 0.235030i | ||||
\(889\) | −2.58921 | − | 2.58921i | −0.0868395 | − | 0.0868395i | ||||
\(890\) | −8.24127 | + | 0.105468i | −0.276248 | + | 0.00353531i | ||||
\(891\) | 7.46417 | − | 27.8566i | 0.250059 | − | 0.933233i | ||||
\(892\) | −13.5732 | −0.454465 | ||||||||
\(893\) | 9.07110 | − | 33.8538i | 0.303553 | − | 1.13287i | ||||
\(894\) | 3.62131 | − | 6.27229i | 0.121115 | − | 0.209777i | ||||
\(895\) | 24.2836 | + | 6.17482i | 0.811711 | + | 0.206402i | ||||
\(896\) | 1.10210i | 0.0368186i | ||||||||
\(897\) | −37.4022 | + | 55.3486i | −1.24882 | + | 1.84804i | ||||
\(898\) | 21.3109 | + | 21.3109i | 0.711154 | + | 0.711154i | ||||
\(899\) | 8.36110 | − | 2.24035i | 0.278858 | − | 0.0747198i | ||||
\(900\) | −15.6027 | + | 0.399418i | −0.520088 | + | 0.0133139i | ||||
\(901\) | −28.7155 | + | 16.5789i | −0.956653 | + | 0.552324i | ||||
\(902\) | − | 4.50619i | − | 0.150040i | ||||||
\(903\) | 6.56005 | + | 11.3623i | 0.218305 | + | 0.378115i | ||||
\(904\) | 8.56802 | + | 2.29579i | 0.284968 | + | 0.0763570i | ||||
\(905\) | −49.1617 | + | 13.8495i | −1.63419 | + | 0.460372i | ||||
\(906\) | −18.0044 | − | 31.1845i | −0.598156 | − | 1.03604i | ||||
\(907\) | −3.18585 | + | 0.853646i | −0.105784 | + | 0.0283449i | −0.311323 | − | 0.950304i | \(-0.600772\pi\) |
0.205538 | + | 0.978649i | \(0.434105\pi\) | |||||||
\(908\) | −16.3644 | − | 9.44797i | −0.543070 | − | 0.313542i | ||||
\(909\) | −19.0693 | −0.632490 | ||||||||
\(910\) | −5.90901 | − | 6.63584i | −0.195882 | − | 0.219976i | ||||
\(911\) | −2.10299 | −0.0696750 | −0.0348375 | − | 0.999393i | \(-0.511091\pi\) | ||||
−0.0348375 | + | 0.999393i | \(0.511091\pi\) | |||||||
\(912\) | 9.52131 | + | 5.49713i | 0.315282 | + | 0.182028i | ||||
\(913\) | −34.1103 | + | 9.13984i | −1.12889 | + | 0.302484i | ||||
\(914\) | −5.23333 | − | 9.06439i | −0.173103 | − | 0.299823i | ||||
\(915\) | −19.9485 | + | 35.5962i | −0.659478 | + | 1.17677i | ||||
\(916\) | 1.43243 | + | 0.383818i | 0.0473287 | + | 0.0126817i | ||||
\(917\) | −0.218092 | − | 0.377747i | −0.00720205 | − | 0.0124743i | ||||
\(918\) | 0.871110i | 0.0287509i | ||||||||
\(919\) | 51.1941 | − | 29.5569i | 1.68874 | − | 0.974993i | 0.733250 | − | 0.679959i | \(-0.238002\pi\) |
0.955487 | − | 0.295034i | \(-0.0953309\pi\) | |||||||
\(920\) | −8.55702 | − | 14.3927i | −0.282117 | − | 0.474512i | ||||
\(921\) | 40.7384 | − | 10.9158i | 1.34237 | − | 0.359688i | ||||
\(922\) | −21.2194 | − | 21.2194i | −0.698824 | − | 0.698824i | ||||
\(923\) | 3.41155 | + | 17.6316i | 0.112292 | + | 0.580350i | ||||
\(924\) | − | 9.12224i | − | 0.300100i | ||||||
\(925\) | −1.39946 | − | 54.6676i | −0.0460139 | − | 1.79746i | ||||
\(926\) | 8.75729 | − | 15.1681i | 0.287782 | − | 0.498453i | ||||
\(927\) | 12.9309 | − | 48.2588i | 0.424707 | − | 1.58503i | ||||
\(928\) | −1.92648 | −0.0632398 | ||||||||
\(929\) | 1.02958 | − | 3.84243i | 0.0337793 | − | 0.126066i | −0.946977 | − | 0.321300i | \(-0.895880\pi\) |
0.980757 | + | 0.195234i | \(0.0625467\pi\) | |||||||
\(930\) | −17.8009 | − | 17.3511i | −0.583716 | − | 0.568964i | ||||
\(931\) | −18.1782 | − | 18.1782i | −0.595768 | − | 0.595768i | ||||
\(932\) | −22.4674 | − | 6.02011i | −0.735943 | − | 0.197195i | ||||
\(933\) | 17.5515 | + | 65.5031i | 0.574611 | + | 2.14448i | ||||
\(934\) | −2.91683 | − | 10.8858i | −0.0954416 | − | 0.356193i | ||||
\(935\) | 20.8559 | − | 5.87537i | 0.682061 | − | 0.192145i | ||||
\(936\) | 6.30167 | − | 9.32535i | 0.205976 | − | 0.304809i | ||||
\(937\) | 17.6539 | − | 17.6539i | 0.576729 | − | 0.576729i | −0.357272 | − | 0.934001i | \(-0.616293\pi\) |
0.934001 | + | 0.357272i | \(0.116293\pi\) | |||||||
\(938\) | 2.35005 | − | 4.07041i | 0.0767319 | − | 0.132904i | ||||
\(939\) | 21.5103 | + | 12.4190i | 0.701963 | + | 0.405279i | ||||
\(940\) | 12.3103 | − | 12.6295i | 0.401518 | − | 0.411928i | ||||
\(941\) | −0.784318 | + | 0.784318i | −0.0255680 | + | 0.0255680i | −0.719775 | − | 0.694207i | \(-0.755755\pi\) |
0.694207 | + | 0.719775i | \(0.255755\pi\) | |||||||
\(942\) | 20.3659 | − | 11.7583i | 0.663557 | − | 0.383105i | ||||
\(943\) | 8.73519 | − | 5.04326i | 0.284457 | − | 0.164231i | ||||
\(944\) | 7.05046 | − | 7.05046i | 0.229473 | − | 0.229473i | ||||
\(945\) | −0.00948405 | − | 0.741081i | −0.000308516 | − | 0.0241074i | ||||
\(946\) | 13.9401 | + | 8.04830i | 0.453231 | + | 0.261673i | ||||
\(947\) | −6.32607 | + | 10.9571i | −0.205570 | + | 0.356057i | −0.950314 | − | 0.311293i | \(-0.899238\pi\) |
0.744744 | + | 0.667350i | \(0.232571\pi\) | |||||||
\(948\) | −1.30837 | + | 1.30837i | −0.0424940 | + | 0.0424940i | ||||
\(949\) | 53.3028 | − | 25.9410i | 1.73028 | − | 0.842080i | ||||
\(950\) | 5.19936 | − | 21.6011i | 0.168689 | − | 0.700832i | ||||
\(951\) | −13.4223 | − | 50.0926i | −0.435247 | − | 1.62436i | ||||
\(952\) | −0.826220 | − | 3.08350i | −0.0267780 | − | 0.0999367i | ||||
\(953\) | 49.9783 | + | 13.3916i | 1.61895 | + | 0.433798i | 0.950694 | − | 0.310130i | \(-0.100372\pi\) |
0.668261 | + | 0.743927i | \(0.267039\pi\) | |||||||
\(954\) | 25.2676 | + | 25.2676i | 0.818069 | + | 0.818069i | ||||
\(955\) | 2.76920 | − | 2.84100i | 0.0896092 | − | 0.0919325i | ||||
\(956\) | −5.33634 | + | 19.9155i | −0.172590 | + | 0.644113i | ||||
\(957\) | 15.9457 | 0.515452 | ||||||||
\(958\) | −3.94104 | + | 14.7082i | −0.127329 | + | 0.475199i | ||||
\(959\) | 4.82115 | − | 8.35047i | 0.155683 | − | 0.269651i | ||||
\(960\) | 2.82730 | + | 4.75543i | 0.0912507 | + | 0.153481i | ||||
\(961\) | 10.8112i | 0.348749i | ||||||||
\(962\) | 32.6736 | + | 22.0794i | 1.05344 | + | 0.711868i | ||||
\(963\) | −24.0921 | − | 24.0921i | −0.776358 | − | 0.776358i | ||||
\(964\) | −0.292480 | + | 0.0783697i | −0.00942013 | + | 0.00252412i | ||||
\(965\) | 6.51872 | − | 25.6360i | 0.209845 | − | 0.825253i | ||||
\(966\) | 17.6834 | − | 10.2095i | 0.568953 | − | 0.328485i | ||||
\(967\) | − | 22.2857i | − | 0.716660i | −0.933595 | − | 0.358330i | \(-0.883346\pi\) | ||
0.933595 | − | 0.358330i | \(-0.116654\pi\) | |||||||
\(968\) | −0.0958815 | − | 0.166072i | −0.00308175 | − | 0.00533775i | ||||
\(969\) | −30.7601 | − | 8.24215i | −0.988158 | − | 0.264776i | ||||
\(970\) | 3.48891 | + | 12.3846i | 0.112022 | + | 0.397647i | ||||
\(971\) | 4.17893 | + | 7.23812i | 0.134108 | + | 0.232282i | 0.925256 | − | 0.379342i | \(-0.123850\pi\) |
−0.791148 | + | 0.611624i | \(0.790516\pi\) | |||||||
\(972\) | −21.4735 | + | 5.75382i | −0.688764 | + | 0.184554i | ||||
\(973\) | 7.97764 | + | 4.60589i | 0.255751 | + | 0.147658i | ||||
\(974\) | 32.6162 | 1.04509 | ||||||||
\(975\) | −42.5201 | − | 13.4740i | −1.36173 | − | 0.431514i | ||||
\(976\) | 7.37557 | 0.236086 | ||||||||
\(977\) | 34.1756 | + | 19.7313i | 1.09338 | + | 0.631260i | 0.934473 | − | 0.356034i | \(-0.115871\pi\) |
0.158902 | + | 0.987294i | \(0.449205\pi\) | |||||||
\(978\) | −5.31916 | + | 1.42527i | −0.170088 | + | 0.0455750i | ||||
\(979\) | −6.16544 | − | 10.6789i | −0.197048 | − | 0.341298i | ||||
\(980\) | −3.50784 | − | 12.4518i | −0.112054 | − | 0.397759i | ||||
\(981\) | −25.9458 | − | 6.95215i | −0.828384 | − | 0.221965i | ||||
\(982\) | −2.50433 | − | 4.33762i | −0.0799163 | − | 0.138419i | ||||
\(983\) | 6.44395i | 0.205530i | 0.994706 | + | 0.102765i | \(0.0327690\pi\) | ||||
−0.994706 | + | 0.102765i | \(0.967231\pi\) | |||||||
\(984\) | −2.88617 | + | 1.66633i | −0.0920076 | + | 0.0531206i | ||||
\(985\) | 1.03137 | − | 4.05604i | 0.0328622 | − | 0.129236i | ||||
\(986\) | 5.38997 | − | 1.44424i | 0.171652 | − | 0.0459939i | ||||
\(987\) | 15.2078 | + | 15.2078i | 0.484068 | + | 0.484068i | ||||
\(988\) | 10.5008 | + | 12.1007i | 0.334074 | + | 0.384974i | ||||
\(989\) | 36.0302i | 1.14569i | ||||||||
\(990\) | −11.9333 | − | 20.0715i | −0.379265 | − | 0.637913i | ||||
\(991\) | 14.7651 | − | 25.5740i | 0.469030 | − | 0.812383i | −0.530343 | − | 0.847783i | \(-0.677937\pi\) |
0.999373 | + | 0.0353995i | \(0.0112704\pi\) | |||||||
\(992\) | −1.16292 | + | 4.34009i | −0.0369229 | + | 0.137798i | ||||
\(993\) | 41.3701 | 1.31284 | ||||||||
\(994\) | 1.42075 | − | 5.30231i | 0.0450635 | − | 0.168179i | ||||
\(995\) | −29.7254 | + | 30.4961i | −0.942359 | + | 0.966791i | ||||
\(996\) | 18.4675 | + | 18.4675i | 0.585166 | + | 0.585166i | ||||
\(997\) | 14.9800 | + | 4.01387i | 0.474421 | + | 0.127121i | 0.488104 | − | 0.872786i | \(-0.337689\pi\) |
−0.0136828 | + | 0.999906i | \(0.504356\pi\) | |||||||
\(998\) | 3.53328 | + | 13.1864i | 0.111844 | + | 0.417408i | ||||
\(999\) | 0.851321 | + | 3.17717i | 0.0269346 | + | 0.100521i |
(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 | 130.2.p.b.123.4 | yes | 16 | |
5.2 | odd | 4 | 130.2.s.b.97.1 | yes | 16 | ||
5.3 | odd | 4 | 650.2.w.g.357.4 | 16 | |||
5.4 | even | 2 | 650.2.t.g.643.1 | 16 | |||
13.11 | odd | 12 | 130.2.s.b.63.1 | yes | 16 | ||
65.24 | odd | 12 | 650.2.w.g.193.4 | 16 | |||
65.37 | even | 12 | inner | 130.2.p.b.37.4 | ✓ | 16 | |
65.63 | even | 12 | 650.2.t.g.557.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
130.2.p.b.37.4 | ✓ | 16 | 65.37 | even | 12 | inner | |
130.2.p.b.123.4 | yes | 16 | 1.1 | even | 1 | trivial | |
130.2.s.b.63.1 | yes | 16 | 13.11 | odd | 12 | ||
130.2.s.b.97.1 | yes | 16 | 5.2 | odd | 4 | ||
650.2.t.g.557.1 | 16 | 65.63 | even | 12 | |||
650.2.t.g.643.1 | 16 | 5.4 | even | 2 | |||
650.2.w.g.193.4 | 16 | 65.24 | odd | 12 | |||
650.2.w.g.357.4 | 16 | 5.3 | odd | 4 |