Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (of order \(11\), degree \(10\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 9 x^{19} + 41 x^{18} - 119 x^{17} + 245 x^{16} - 404 x^{15} + 623 x^{14} - 898 x^{13} + 1048 x^{12} - 693 x^{11} + 859 x^{10} - 935 x^{9} + 620 x^{8} + 679 x^{7} + 1220 x^{6} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 211.1 | ||
Root | \(0.140215 - 0.975217i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 322.211 |
Dual form | 322.2.i.c.29.1 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.415415 | + | 0.909632i | 0.293743 | + | 0.643207i | ||||
\(3\) | 0.0141569 | − | 0.00415683i | 0.00817347 | − | 0.00239995i | −0.277643 | − | 0.960684i | \(-0.589553\pi\) |
0.285817 | + | 0.958284i | \(0.407735\pi\) | |||||||
\(4\) | −0.654861 | + | 0.755750i | −0.327430 | + | 0.377875i | ||||
\(5\) | −3.50493 | − | 2.25248i | −1.56745 | − | 1.00734i | −0.980218 | − | 0.197922i | \(-0.936581\pi\) |
−0.587233 | − | 0.809418i | \(-0.699783\pi\) | |||||||
\(6\) | 0.00966216 | + | 0.0111507i | 0.00394456 | + | 0.00455227i | ||||
\(7\) | −0.142315 | − | 0.989821i | −0.0537900 | − | 0.374117i | ||||
\(8\) | −0.959493 | − | 0.281733i | −0.339232 | − | 0.0996075i | ||||
\(9\) | −2.52358 | + | 1.62180i | −0.841192 | + | 0.540602i | ||||
\(10\) | 0.592928 | − | 4.12391i | 0.187500 | − | 1.30409i | ||||
\(11\) | −0.164338 | + | 0.359850i | −0.0495497 | + | 0.108499i | −0.932788 | − | 0.360426i | \(-0.882631\pi\) |
0.883238 | + | 0.468925i | \(0.155359\pi\) | |||||||
\(12\) | −0.00612925 | + | 0.0134212i | −0.00176936 | + | 0.00387437i | ||||
\(13\) | 0.524026 | − | 3.64468i | 0.145339 | − | 1.01085i | −0.778383 | − | 0.627789i | \(-0.783960\pi\) |
0.923722 | − | 0.383064i | \(-0.125131\pi\) | |||||||
\(14\) | 0.841254 | − | 0.540641i | 0.224834 | − | 0.144492i | ||||
\(15\) | −0.0589820 | − | 0.0173187i | −0.0152291 | − | 0.00447166i | ||||
\(16\) | −0.142315 | − | 0.989821i | −0.0355787 | − | 0.247455i | ||||
\(17\) | −5.01611 | − | 5.78890i | −1.21659 | − | 1.40401i | −0.888191 | − | 0.459474i | \(-0.848038\pi\) |
−0.328395 | − | 0.944541i | \(-0.606508\pi\) | |||||||
\(18\) | −2.52358 | − | 1.62180i | −0.594813 | − | 0.382263i | ||||
\(19\) | −4.06258 | + | 4.68846i | −0.932019 | + | 1.07561i | 0.0649565 | + | 0.997888i | \(0.479309\pi\) |
−0.996975 | + | 0.0777189i | \(0.975236\pi\) | |||||||
\(20\) | 3.99755 | − | 1.17379i | 0.893879 | − | 0.262467i | ||||
\(21\) | −0.00612925 | − | 0.0134212i | −0.00133751 | − | 0.00292874i | ||||
\(22\) | −0.395599 | −0.0843420 | ||||||||
\(23\) | 1.99735 | − | 4.36011i | 0.416476 | − | 0.909147i | ||||
\(24\) | −0.0147545 | −0.00301176 | ||||||||
\(25\) | 5.13377 | + | 11.2414i | 1.02675 | + | 2.24828i | ||||
\(26\) | 3.53301 | − | 1.03738i | 0.692880 | − | 0.203448i | ||||
\(27\) | −0.0579709 | + | 0.0669020i | −0.0111565 | + | 0.0128753i | ||||
\(28\) | 0.841254 | + | 0.540641i | 0.158982 | + | 0.102172i | ||||
\(29\) | −0.216787 | − | 0.250186i | −0.0402564 | − | 0.0464583i | 0.735264 | − | 0.677780i | \(-0.237058\pi\) |
−0.775521 | + | 0.631322i | \(0.782513\pi\) | |||||||
\(30\) | −0.00874838 | − | 0.0608463i | −0.00159723 | − | 0.0111090i | ||||
\(31\) | 6.68165 | + | 1.96191i | 1.20006 | + | 0.352369i | 0.819876 | − | 0.572542i | \(-0.194042\pi\) |
0.380184 | + | 0.924911i | \(0.375861\pi\) | |||||||
\(32\) | 0.841254 | − | 0.540641i | 0.148714 | − | 0.0955727i | ||||
\(33\) | −0.000830675 | 0.00577747i | −0.000144602 | 0.00100573i | ||||||
\(34\) | 3.18200 | − | 6.96761i | 0.545709 | − | 1.19494i | ||||
\(35\) | −1.73075 | + | 3.78981i | −0.292550 | + | 0.640595i | ||||
\(36\) | 0.426914 | − | 2.96925i | 0.0711523 | − | 0.494875i | ||||
\(37\) | −3.66590 | + | 2.35593i | −0.602670 | + | 0.387312i | −0.806102 | − | 0.591777i | \(-0.798427\pi\) |
0.203432 | + | 0.979089i | \(0.434790\pi\) | |||||||
\(38\) | −5.95243 | − | 1.74779i | −0.965612 | − | 0.283529i | ||||
\(39\) | −0.00773176 | − | 0.0537756i | −0.00123807 | − | 0.00861098i | ||||
\(40\) | 2.72836 | + | 3.14869i | 0.431391 | + | 0.497852i | ||||
\(41\) | 3.16030 | + | 2.03100i | 0.493556 | + | 0.317189i | 0.763634 | − | 0.645649i | \(-0.223413\pi\) |
−0.270078 | + | 0.962838i | \(0.587049\pi\) | |||||||
\(42\) | 0.00966216 | − | 0.0111507i | 0.00149090 | − | 0.00172060i | ||||
\(43\) | −3.79125 | + | 1.11321i | −0.578161 | + | 0.169763i | −0.557722 | − | 0.830028i | \(-0.688325\pi\) |
−0.0204388 | + | 0.999791i | \(0.506506\pi\) | |||||||
\(44\) | −0.164338 | − | 0.359850i | −0.0247749 | − | 0.0542494i | ||||
\(45\) | 12.4980 | 1.86310 | ||||||||
\(46\) | 4.79583 | + | 0.00559465i | 0.707106 | + | 0.000824887i | ||||
\(47\) | −4.21317 | −0.614555 | −0.307277 | − | 0.951620i | \(-0.599418\pi\) | ||||
−0.307277 | + | 0.951620i | \(0.599418\pi\) | |||||||
\(48\) | −0.00612925 | − | 0.0134212i | −0.000884682 | − | 0.00193718i | ||||
\(49\) | −0.959493 | + | 0.281733i | −0.137070 | + | 0.0402475i | ||||
\(50\) | −8.09289 | + | 9.33969i | −1.14451 | + | 1.32083i | ||||
\(51\) | −0.0950759 | − | 0.0611016i | −0.0133133 | − | 0.00855593i | ||||
\(52\) | 2.41130 | + | 2.78279i | 0.334388 | + | 0.385904i | ||||
\(53\) | 0.444306 | + | 3.09022i | 0.0610302 | + | 0.424474i | 0.997315 | + | 0.0732323i | \(0.0233315\pi\) |
−0.936285 | + | 0.351242i | \(0.885759\pi\) | |||||||
\(54\) | −0.0849381 | − | 0.0249401i | −0.0115586 | − | 0.00339392i | ||||
\(55\) | 1.38655 | − | 0.891079i | 0.186962 | − | 0.120153i | ||||
\(56\) | −0.142315 | + | 0.989821i | −0.0190176 | + | 0.132270i | ||||
\(57\) | −0.0380242 | + | 0.0832614i | −0.00503643 | + | 0.0110282i | ||||
\(58\) | 0.137520 | − | 0.301127i | 0.0180573 | − | 0.0395400i | ||||
\(59\) | 0.721739 | − | 5.01980i | 0.0939624 | − | 0.653523i | −0.887349 | − | 0.461098i | \(-0.847456\pi\) |
0.981312 | − | 0.192425i | \(-0.0616352\pi\) | |||||||
\(60\) | 0.0517136 | − | 0.0332343i | 0.00667619 | − | 0.00429053i | ||||
\(61\) | −5.98335 | − | 1.75687i | −0.766089 | − | 0.224944i | −0.124736 | − | 0.992190i | \(-0.539808\pi\) |
−0.641353 | + | 0.767246i | \(0.721627\pi\) | |||||||
\(62\) | 0.991042 | + | 6.89285i | 0.125862 | + | 0.875393i | ||||
\(63\) | 1.96444 | + | 2.26708i | 0.247496 | + | 0.285626i | ||||
\(64\) | 0.841254 | + | 0.540641i | 0.105157 | + | 0.0675801i | ||||
\(65\) | −10.0462 | + | 11.5940i | −1.24608 | + | 1.43806i | ||||
\(66\) | −0.00560044 | + | 0.00164444i | −0.000689367 | + | 0.000202416i | ||||
\(67\) | −5.49536 | − | 12.0332i | −0.671365 | − | 1.47008i | −0.871540 | − | 0.490324i | \(-0.836878\pi\) |
0.200175 | − | 0.979760i | \(-0.435849\pi\) | |||||||
\(68\) | 7.65981 | 0.928889 | ||||||||
\(69\) | 0.0101519 | − | 0.0700282i | 0.00122215 | − | 0.00843041i | ||||
\(70\) | −4.16631 | −0.497970 | ||||||||
\(71\) | −1.10479 | − | 2.41915i | −0.131114 | − | 0.287101i | 0.832676 | − | 0.553760i | \(-0.186807\pi\) |
−0.963791 | + | 0.266659i | \(0.914080\pi\) | |||||||
\(72\) | 2.87827 | − | 0.845136i | 0.339207 | − | 0.0996003i | ||||
\(73\) | 3.11036 | − | 3.58955i | 0.364041 | − | 0.420125i | −0.543949 | − | 0.839118i | \(-0.683071\pi\) |
0.907989 | + | 0.418993i | \(0.137617\pi\) | |||||||
\(74\) | −3.66590 | − | 2.35593i | −0.426152 | − | 0.273871i | ||||
\(75\) | 0.119407 | + | 0.137803i | 0.0137879 | + | 0.0159121i | ||||
\(76\) | −0.882882 | − | 6.14058i | −0.101274 | − | 0.704373i | ||||
\(77\) | 0.379575 | + | 0.111453i | 0.0432565 | + | 0.0127013i | ||||
\(78\) | 0.0457041 | − | 0.0293722i | 0.00517497 | − | 0.00332575i | ||||
\(79\) | 0.237949 | − | 1.65497i | 0.0267713 | − | 0.186199i | −0.972048 | − | 0.234783i | \(-0.924562\pi\) |
0.998819 | + | 0.0485846i | \(0.0154711\pi\) | |||||||
\(80\) | −1.73075 | + | 3.78981i | −0.193504 | + | 0.423714i | ||||
\(81\) | 3.73792 | − | 8.18491i | 0.415325 | − | 0.909434i | ||||
\(82\) | −0.534628 | + | 3.71842i | −0.0590398 | + | 0.410631i | ||||
\(83\) | 3.36177 | − | 2.16048i | 0.369003 | − | 0.237144i | −0.342977 | − | 0.939344i | \(-0.611435\pi\) |
0.711979 | + | 0.702200i | \(0.247799\pi\) | |||||||
\(84\) | 0.0141569 | + | 0.00415683i | 0.00154464 | + | 0.000453548i | ||||
\(85\) | 4.54172 | + | 31.5884i | 0.492619 | + | 3.42624i | ||||
\(86\) | −2.58756 | − | 2.98620i | −0.279024 | − | 0.322010i | ||||
\(87\) | −0.00410901 | − | 0.00264070i | −0.000440532 | − | 0.000283113i | ||||
\(88\) | 0.259062 | − | 0.298974i | 0.0276161 | − | 0.0318707i | ||||
\(89\) | −7.84641 | + | 2.30392i | −0.831718 | + | 0.244215i | −0.669755 | − | 0.742582i | \(-0.733601\pi\) |
−0.161963 | + | 0.986797i | \(0.551783\pi\) | |||||||
\(90\) | 5.19187 | + | 11.3686i | 0.547271 | + | 1.19836i | ||||
\(91\) | −3.68216 | −0.385995 | ||||||||
\(92\) | 1.98717 | + | 4.36476i | 0.207177 | + | 0.455058i | ||||
\(93\) | 0.102747 | 0.0106543 | ||||||||
\(94\) | −1.75022 | − | 3.83244i | −0.180521 | − | 0.395286i | ||||
\(95\) | 24.7997 | − | 7.28185i | 2.54440 | − | 0.747102i | ||||
\(96\) | 0.00966216 | − | 0.0111507i | 0.000986140 | − | 0.00113807i | ||||
\(97\) | 10.0418 | + | 6.45349i | 1.01959 | + | 0.655253i | 0.939859 | − | 0.341563i | \(-0.110956\pi\) |
0.0797348 | + | 0.996816i | \(0.474593\pi\) | |||||||
\(98\) | −0.654861 | − | 0.755750i | −0.0661509 | − | 0.0763422i | ||||
\(99\) | −0.168887 | − | 1.17463i | −0.0169737 | − | 0.118055i | ||||
\(100\) | −11.8576 | − | 3.48170i | −1.18576 | − | 0.348170i | ||||
\(101\) | −9.04550 | + | 5.81319i | −0.900061 | + | 0.578434i | −0.906808 | − | 0.421543i | \(-0.861488\pi\) |
0.00674768 | + | 0.999977i | \(0.497852\pi\) | |||||||
\(102\) | 0.0160840 | − | 0.111867i | 0.00159255 | − | 0.0110764i | ||||
\(103\) | 6.51486 | − | 14.2655i | 0.641928 | − | 1.40563i | −0.256517 | − | 0.966540i | \(-0.582575\pi\) |
0.898445 | − | 0.439086i | \(-0.144698\pi\) | |||||||
\(104\) | −1.52962 | + | 3.34941i | −0.149992 | + | 0.328437i | ||||
\(105\) | −0.00874838 | + | 0.0608463i | −0.000853755 | + | 0.00593799i | ||||
\(106\) | −2.62639 | + | 1.68788i | −0.255098 | + | 0.163941i | ||||
\(107\) | 3.94370 | + | 1.15797i | 0.381251 | + | 0.111946i | 0.466742 | − | 0.884393i | \(-0.345428\pi\) |
−0.0854907 | + | 0.996339i | \(0.527246\pi\) | |||||||
\(108\) | −0.0125983 | − | 0.0876229i | −0.00121227 | − | 0.00843152i | ||||
\(109\) | 5.23211 | + | 6.03817i | 0.501145 | + | 0.578352i | 0.948809 | − | 0.315850i | \(-0.102290\pi\) |
−0.447664 | + | 0.894202i | \(0.647744\pi\) | |||||||
\(110\) | 1.38655 | + | 0.891079i | 0.132202 | + | 0.0849610i | ||||
\(111\) | −0.0421044 | + | 0.0485911i | −0.00399638 | + | 0.00461206i | ||||
\(112\) | −0.959493 | + | 0.281733i | −0.0906636 | + | 0.0266212i | ||||
\(113\) | −6.63784 | − | 14.5348i | −0.624436 | − | 1.36732i | −0.912249 | − | 0.409637i | \(-0.865655\pi\) |
0.287813 | − | 0.957687i | \(-0.407072\pi\) | |||||||
\(114\) | −0.0915331 | −0.00857286 | ||||||||
\(115\) | −16.8216 | + | 10.7829i | −1.56863 | + | 1.00551i | ||||
\(116\) | 0.331043 | 0.0307366 | ||||||||
\(117\) | 4.58854 | + | 10.0475i | 0.424211 | + | 0.928892i | ||||
\(118\) | 4.86599 | − | 1.42878i | 0.447951 | − | 0.131530i | ||||
\(119\) | −5.01611 | + | 5.78890i | −0.459826 | + | 0.530668i | ||||
\(120\) | 0.0517136 | + | 0.0332343i | 0.00472078 | + | 0.00303386i | ||||
\(121\) | 7.10098 | + | 8.19497i | 0.645544 | + | 0.744997i | ||||
\(122\) | −0.887468 | − | 6.17247i | −0.0803476 | − | 0.558830i | ||||
\(123\) | 0.0531825 | + | 0.0156158i | 0.00479531 | + | 0.00140803i | ||||
\(124\) | −5.85826 | + | 3.76488i | −0.526087 | + | 0.338096i | ||||
\(125\) | 4.36287 | − | 30.3445i | 0.390227 | − | 2.71409i | ||||
\(126\) | −1.24615 | + | 2.72870i | −0.111016 | + | 0.243092i | ||||
\(127\) | −5.15936 | + | 11.2974i | −0.457819 | + | 1.00248i | 0.530161 | + | 0.847897i | \(0.322132\pi\) |
−0.987979 | + | 0.154586i | \(0.950596\pi\) | |||||||
\(128\) | −0.142315 | + | 0.989821i | −0.0125790 | + | 0.0874887i | ||||
\(129\) | −0.0490449 | + | 0.0315192i | −0.00431816 | + | 0.00277511i | ||||
\(130\) | −14.7196 | − | 4.32207i | −1.29100 | − | 0.379071i | ||||
\(131\) | −3.20717 | − | 22.3064i | −0.280212 | − | 1.94891i | −0.313827 | − | 0.949480i | \(-0.601611\pi\) |
0.0336156 | − | 0.999435i | \(-0.489298\pi\) | |||||||
\(132\) | −0.00382234 | − | 0.00441122i | −0.000332692 | − | 0.000383947i | ||||
\(133\) | 5.21891 | + | 3.35399i | 0.452536 | + | 0.290828i | ||||
\(134\) | 8.66289 | − | 9.99751i | 0.748360 | − | 0.863653i | ||||
\(135\) | 0.353879 | − | 0.103908i | 0.0304571 | − | 0.00894300i | ||||
\(136\) | 3.18200 | + | 6.96761i | 0.272854 | + | 0.597468i | ||||
\(137\) | −1.51102 | −0.129095 | −0.0645475 | − | 0.997915i | \(-0.520560\pi\) | ||||
−0.0645475 | + | 0.997915i | \(0.520560\pi\) | |||||||
\(138\) | 0.0679172 | − | 0.0198563i | 0.00578149 | − | 0.00169028i | ||||
\(139\) | −21.5487 | −1.82774 | −0.913870 | − | 0.406007i | \(-0.866921\pi\) | ||||
−0.913870 | + | 0.406007i | \(0.866921\pi\) | |||||||
\(140\) | −1.73075 | − | 3.78981i | −0.146275 | − | 0.320298i | ||||
\(141\) | −0.0596454 | + | 0.0175135i | −0.00502305 | + | 0.00147490i | ||||
\(142\) | 1.74159 | − | 2.00990i | 0.146151 | − | 0.168667i | ||||
\(143\) | 1.22542 | + | 0.787530i | 0.102475 | + | 0.0658565i | ||||
\(144\) | 1.96444 | + | 2.26708i | 0.163703 | + | 0.188924i | ||||
\(145\) | 0.196285 | + | 1.36519i | 0.0163006 | + | 0.113373i | ||||
\(146\) | 4.55726 | + | 1.33813i | 0.377162 | + | 0.110745i | ||||
\(147\) | −0.0124123 | + | 0.00797690i | −0.00102375 | + | 0.000657924i | ||||
\(148\) | 0.620160 | − | 4.31331i | 0.0509768 | − | 0.354552i | ||||
\(149\) | 4.25362 | − | 9.31413i | 0.348470 | − | 0.763043i | −0.651520 | − | 0.758631i | \(-0.725868\pi\) |
0.999990 | − | 0.00441200i | \(-0.00140439\pi\) | |||||||
\(150\) | −0.0757464 | + | 0.165862i | −0.00618467 | + | 0.0135425i | ||||
\(151\) | 2.37286 | − | 16.5036i | 0.193101 | − | 1.34304i | −0.630639 | − | 0.776076i | \(-0.717207\pi\) |
0.823740 | − | 0.566968i | \(-0.191884\pi\) | |||||||
\(152\) | 5.21891 | − | 3.35399i | 0.423309 | − | 0.272044i | ||||
\(153\) | 22.0470 | + | 6.47359i | 1.78240 | + | 0.523359i | ||||
\(154\) | 0.0562996 | + | 0.391572i | 0.00453675 | + | 0.0315538i | ||||
\(155\) | −18.9995 | − | 21.9266i | −1.52608 | − | 1.76119i | ||||
\(156\) | 0.0457041 | + | 0.0293722i | 0.00365926 | + | 0.00235166i | ||||
\(157\) | 2.89631 | − | 3.34252i | 0.231151 | − | 0.266762i | −0.628311 | − | 0.777962i | \(-0.716253\pi\) |
0.859462 | + | 0.511200i | \(0.170799\pi\) | |||||||
\(158\) | 1.60426 | − | 0.471053i | 0.127628 | − | 0.0374750i | ||||
\(159\) | 0.0191355 | + | 0.0419009i | 0.00151754 | + | 0.00332296i | ||||
\(160\) | −4.16631 | −0.329376 | ||||||||
\(161\) | −4.59999 | − | 1.35651i | −0.362530 | − | 0.106908i | ||||
\(162\) | 8.99804 | 0.706953 | ||||||||
\(163\) | −3.15259 | − | 6.90321i | −0.246930 | − | 0.540701i | 0.745063 | − | 0.666994i | \(-0.232419\pi\) |
−0.991993 | + | 0.126293i | \(0.959692\pi\) | |||||||
\(164\) | −3.60449 | + | 1.05837i | −0.281463 | + | 0.0826451i | ||||
\(165\) | 0.0159251 | − | 0.0183785i | 0.00123977 | − | 0.00143077i | ||||
\(166\) | 3.36177 | + | 2.16048i | 0.260924 | + | 0.167686i | ||||
\(167\) | 2.63880 | + | 3.04534i | 0.204196 | + | 0.235655i | 0.848606 | − | 0.529025i | \(-0.177442\pi\) |
−0.644410 | + | 0.764680i | \(0.722897\pi\) | |||||||
\(168\) | 0.00209979 | + | 0.0146044i | 0.000162002 | + | 0.00112675i | ||||
\(169\) | −0.535695 | − | 0.157294i | −0.0412073 | − | 0.0120995i | ||||
\(170\) | −26.8471 | + | 17.2536i | −2.05908 | + | 1.32329i | ||||
\(171\) | 2.64845 | − | 18.4204i | 0.202532 | − | 1.40864i | ||||
\(172\) | 1.64143 | − | 3.59424i | 0.125158 | − | 0.274058i | ||||
\(173\) | −5.77236 | + | 12.6397i | −0.438865 | + | 0.960980i | 0.552941 | + | 0.833221i | \(0.313506\pi\) |
−0.991805 | + | 0.127759i | \(0.959222\pi\) | |||||||
\(174\) | 0.000695121 | − | 0.00483467i | 5.26970e−5 | − | 0.000366515i | ||||
\(175\) | 10.3964 | − | 6.68134i | 0.785891 | − | 0.505062i | ||||
\(176\) | 0.379575 | + | 0.111453i | 0.0286115 | + | 0.00840110i | ||||
\(177\) | −0.0106489 | − | 0.0740648i | −0.000800421 | − | 0.00556705i | ||||
\(178\) | −5.35523 | − | 6.18027i | −0.401392 | − | 0.463231i | ||||
\(179\) | −6.89903 | − | 4.43374i | −0.515658 | − | 0.331393i | 0.256794 | − | 0.966466i | \(-0.417334\pi\) |
−0.772452 | + | 0.635073i | \(0.780970\pi\) | |||||||
\(180\) | −8.18447 | + | 9.44539i | −0.610035 | + | 0.704018i | ||||
\(181\) | 14.0700 | − | 4.13131i | 1.04581 | − | 0.307078i | 0.286688 | − | 0.958024i | \(-0.407446\pi\) |
0.759124 | + | 0.650946i | \(0.225628\pi\) | |||||||
\(182\) | −1.52962 | − | 3.34941i | −0.113383 | − | 0.248275i | ||||
\(183\) | −0.0920085 | −0.00680146 | ||||||||
\(184\) | −3.14483 | + | 3.62078i | −0.231840 | + | 0.266928i | ||||
\(185\) | 18.1554 | 1.33481 | ||||||||
\(186\) | 0.0426825 | + | 0.0934616i | 0.00312963 | + | 0.00685293i | ||||
\(187\) | 2.90747 | − | 0.853710i | 0.212615 | − | 0.0624295i | ||||
\(188\) | 2.75904 | − | 3.18410i | 0.201224 | − | 0.232225i | ||||
\(189\) | 0.0744711 | + | 0.0478597i | 0.00541698 | + | 0.00348128i | ||||
\(190\) | 16.9260 | + | 19.5336i | 1.22794 | + | 1.41712i | ||||
\(191\) | 2.42241 | + | 16.8482i | 0.175280 | + | 1.21910i | 0.867510 | + | 0.497420i | \(0.165719\pi\) |
−0.692230 | + | 0.721677i | \(0.743372\pi\) | |||||||
\(192\) | 0.0141569 | + | 0.00415683i | 0.00102168 | + | 0.000299994i | ||||
\(193\) | −3.61365 | + | 2.32235i | −0.260116 | + | 0.167166i | −0.664199 | − | 0.747556i | \(-0.731227\pi\) |
0.404083 | + | 0.914722i | \(0.367591\pi\) | |||||||
\(194\) | −1.69878 | + | 11.8153i | −0.121965 | + | 0.848286i | ||||
\(195\) | −0.0940292 | + | 0.205895i | −0.00673357 | + | 0.0147445i | ||||
\(196\) | 0.415415 | − | 0.909632i | 0.0296725 | − | 0.0649737i | ||||
\(197\) | 2.09646 | − | 14.5812i | 0.149367 | − | 1.03887i | −0.767893 | − | 0.640578i | \(-0.778695\pi\) |
0.917260 | − | 0.398289i | \(-0.130396\pi\) | |||||||
\(198\) | 0.998325 | − | 0.641584i | 0.0709479 | − | 0.0455954i | ||||
\(199\) | 16.1128 | + | 4.73113i | 1.14220 | + | 0.335381i | 0.797493 | − | 0.603328i | \(-0.206159\pi\) |
0.344710 | + | 0.938709i | \(0.387977\pi\) | |||||||
\(200\) | −1.75875 | − | 12.2324i | −0.124363 | − | 0.864961i | ||||
\(201\) | −0.127817 | − | 0.147509i | −0.00901551 | − | 0.0104045i | ||||
\(202\) | −9.04550 | − | 5.81319i | −0.636439 | − | 0.409014i | ||||
\(203\) | −0.216787 | + | 0.250186i | −0.0152155 | + | 0.0175596i | ||||
\(204\) | 0.108439 | − | 0.0318406i | 0.00759225 | − | 0.00222929i | ||||
\(205\) | −6.50184 | − | 14.2370i | −0.454108 | − | 0.994358i | ||||
\(206\) | 15.6828 | 1.09267 | ||||||||
\(207\) | 2.03079 | + | 14.2424i | 0.141150 | + | 0.989915i | ||||
\(208\) | −3.68216 | −0.255312 | ||||||||
\(209\) | −1.01951 | − | 2.23241i | −0.0705207 | − | 0.154419i | ||||
\(210\) | −0.0589820 | + | 0.0173187i | −0.00407014 | + | 0.00119510i | ||||
\(211\) | −5.62986 | + | 6.49721i | −0.387576 | + | 0.447286i | −0.915689 | − | 0.401888i | \(-0.868354\pi\) |
0.528113 | + | 0.849174i | \(0.322900\pi\) | |||||||
\(212\) | −2.62639 | − | 1.68788i | −0.180381 | − | 0.115924i | ||||
\(213\) | −0.0256964 | − | 0.0296552i | −0.00176069 | − | 0.00203194i | ||||
\(214\) | 0.584941 | + | 4.06835i | 0.0399857 | + | 0.278107i | ||||
\(215\) | 15.7956 | + | 4.63800i | 1.07725 | + | 0.316309i | ||||
\(216\) | 0.0744711 | − | 0.0478597i | 0.00506712 | − | 0.00325644i | ||||
\(217\) | 0.991042 | − | 6.89285i | 0.0672763 | − | 0.467917i | ||||
\(218\) | −3.31902 | + | 7.26764i | −0.224792 | + | 0.492227i | ||||
\(219\) | 0.0291119 | − | 0.0637461i | 0.00196720 | − | 0.00430756i | ||||
\(220\) | −0.234562 | + | 1.63141i | −0.0158142 | + | 0.109990i | ||||
\(221\) | −23.7273 | + | 15.2486i | −1.59607 | + | 1.02573i | ||||
\(222\) | −0.0616908 | − | 0.0181141i | −0.00414042 | − | 0.00121574i | ||||
\(223\) | −3.50704 | − | 24.3920i | −0.234849 | − | 1.63341i | −0.676656 | − | 0.736299i | \(-0.736572\pi\) |
0.441808 | − | 0.897110i | \(-0.354337\pi\) | |||||||
\(224\) | −0.654861 | − | 0.755750i | −0.0437547 | − | 0.0504956i | ||||
\(225\) | −31.1868 | − | 20.0426i | −2.07912 | − | 1.33617i | ||||
\(226\) | 10.4639 | − | 12.0760i | 0.696049 | − | 0.803283i | ||||
\(227\) | −12.4584 | + | 3.65813i | −0.826896 | + | 0.242798i | −0.667683 | − | 0.744446i | \(-0.732714\pi\) |
−0.159213 | + | 0.987244i | \(0.550896\pi\) | |||||||
\(228\) | −0.0380242 | − | 0.0832614i | −0.00251821 | − | 0.00551412i | ||||
\(229\) | −28.7750 | −1.90150 | −0.950752 | − | 0.309953i | \(-0.899687\pi\) | ||||
−0.950752 | + | 0.309953i | \(0.899687\pi\) | |||||||
\(230\) | −16.7964 | − | 10.8221i | −1.10752 | − | 0.713589i | ||||
\(231\) | 0.00583688 | 0.000384038 | ||||||||
\(232\) | 0.137520 | + | 0.301127i | 0.00902865 | + | 0.0197700i | ||||
\(233\) | 1.89442 | − | 0.556253i | 0.124108 | − | 0.0364413i | −0.219089 | − | 0.975705i | \(-0.570308\pi\) |
0.343197 | + | 0.939264i | \(0.388490\pi\) | |||||||
\(234\) | −7.23338 | + | 8.34777i | −0.472861 | + | 0.545711i | ||||
\(235\) | 14.7669 | + | 9.49009i | 0.963284 | + | 0.619065i | ||||
\(236\) | 3.32108 | + | 3.83272i | 0.216184 | + | 0.249489i | ||||
\(237\) | −0.00351082 | − | 0.0244183i | −0.000228052 | − | 0.00158614i | ||||
\(238\) | −7.34954 | − | 2.15802i | −0.476400 | − | 0.139884i | ||||
\(239\) | 10.4142 | − | 6.69280i | 0.673639 | − | 0.432921i | −0.158597 | − | 0.987343i | \(-0.550697\pi\) |
0.832236 | + | 0.554422i | \(0.187061\pi\) | |||||||
\(240\) | −0.00874838 | + | 0.0608463i | −0.000564706 | + | 0.00392761i | ||||
\(241\) | −4.59654 | + | 10.0650i | −0.296089 | + | 0.648345i | −0.997952 | − | 0.0639671i | \(-0.979625\pi\) |
0.701863 | + | 0.712312i | \(0.252352\pi\) | |||||||
\(242\) | −4.50455 | + | 9.86360i | −0.289564 | + | 0.634056i | ||||
\(243\) | 0.0566888 | − | 0.394279i | 0.00363659 | − | 0.0252930i | ||||
\(244\) | 5.24601 | − | 3.37141i | 0.335842 | − | 0.215832i | ||||
\(245\) | 3.99755 | + | 1.17379i | 0.255394 | + | 0.0749905i | ||||
\(246\) | 0.00788819 | + | 0.0548636i | 0.000502933 | + | 0.00349797i | ||||
\(247\) | 14.9591 | + | 17.2637i | 0.951822 | + | 1.09846i | ||||
\(248\) | −5.85826 | − | 3.76488i | −0.372000 | − | 0.239070i | ||||
\(249\) | 0.0386114 | − | 0.0445600i | 0.00244690 | − | 0.00282387i | ||||
\(250\) | 29.4147 | − | 8.63693i | 1.86035 | − | 0.546248i | ||||
\(251\) | 1.37383 | + | 3.00827i | 0.0867155 | + | 0.189880i | 0.948022 | − | 0.318206i | \(-0.103080\pi\) |
−0.861306 | + | 0.508086i | \(0.830353\pi\) | |||||||
\(252\) | −2.99978 | −0.188969 | ||||||||
\(253\) | 1.24075 | + | 1.43528i | 0.0780050 | + | 0.0902351i | ||||
\(254\) | −12.4198 | −0.779285 | ||||||||
\(255\) | 0.195604 | + | 0.428313i | 0.0122492 | + | 0.0268220i | ||||
\(256\) | −0.959493 | + | 0.281733i | −0.0599683 | + | 0.0176083i | ||||
\(257\) | −13.1293 | + | 15.1520i | −0.818984 | + | 0.945158i | −0.999260 | − | 0.0384578i | \(-0.987755\pi\) |
0.180276 | + | 0.983616i | \(0.442301\pi\) | |||||||
\(258\) | −0.0490449 | − | 0.0315192i | −0.00305340 | − | 0.00196230i | ||||
\(259\) | 2.85366 | + | 3.29330i | 0.177318 | + | 0.204636i | ||||
\(260\) | −2.18326 | − | 15.1849i | −0.135400 | − | 0.941727i | ||||
\(261\) | 0.952831 | + | 0.279777i | 0.0589788 | + | 0.0173177i | ||||
\(262\) | 18.9583 | − | 12.1837i | 1.17125 | − | 0.752714i | ||||
\(263\) | −2.23688 | + | 15.5579i | −0.137932 | + | 0.959339i | 0.796865 | + | 0.604157i | \(0.206490\pi\) |
−0.934797 | + | 0.355182i | \(0.884419\pi\) | |||||||
\(264\) | 0.00242473 | − | 0.00530941i | 0.000149232 | − | 0.000326772i | ||||
\(265\) | 5.40340 | − | 11.8318i | 0.331928 | − | 0.726821i | ||||
\(266\) | −0.882882 | + | 6.14058i | −0.0541330 | + | 0.376503i | ||||
\(267\) | −0.101504 | + | 0.0652325i | −0.00621192 | + | 0.00399216i | ||||
\(268\) | 12.6927 | + | 3.72693i | 0.775333 | + | 0.227658i | ||||
\(269\) | 2.22693 | + | 15.4887i | 0.135779 | + | 0.944361i | 0.937827 | + | 0.347102i | \(0.112834\pi\) |
−0.802049 | + | 0.597259i | \(0.796257\pi\) | |||||||
\(270\) | 0.241525 | + | 0.278735i | 0.0146987 | + | 0.0169633i | ||||
\(271\) | −2.24968 | − | 1.44578i | −0.136658 | − | 0.0878250i | 0.470525 | − | 0.882386i | \(-0.344064\pi\) |
−0.607184 | + | 0.794562i | \(0.707701\pi\) | |||||||
\(272\) | −5.01611 | + | 5.78890i | −0.304146 | + | 0.351004i | ||||
\(273\) | −0.0521279 | + | 0.0153061i | −0.00315492 | + | 0.000926369i | ||||
\(274\) | −0.627700 | − | 1.37447i | −0.0379207 | − | 0.0830348i | ||||
\(275\) | −4.88888 | −0.294811 | ||||||||
\(276\) | 0.0462757 | + | 0.0535311i | 0.00278547 | + | 0.00322219i | ||||
\(277\) | −6.79789 | −0.408446 | −0.204223 | − | 0.978924i | \(-0.565467\pi\) | ||||
−0.204223 | + | 0.978924i | \(0.565467\pi\) | |||||||
\(278\) | −8.95167 | − | 19.6014i | −0.536885 | − | 1.17561i | ||||
\(279\) | −20.0435 | + | 5.88530i | −1.19997 | + | 0.352344i | ||||
\(280\) | 2.72836 | − | 3.14869i | 0.163050 | − | 0.188170i | ||||
\(281\) | −12.7350 | − | 8.18426i | −0.759704 | − | 0.488232i | 0.102538 | − | 0.994729i | \(-0.467304\pi\) |
−0.862242 | + | 0.506497i | \(0.830940\pi\) | |||||||
\(282\) | −0.0407084 | − | 0.0469800i | −0.00242415 | − | 0.00279762i | ||||
\(283\) | 3.12890 | + | 21.7620i | 0.185994 | + | 1.29362i | 0.842254 | + | 0.539081i | \(0.181229\pi\) |
−0.656260 | + | 0.754535i | \(0.727862\pi\) | |||||||
\(284\) | 2.55176 | + | 0.749263i | 0.151419 | + | 0.0444606i | ||||
\(285\) | 0.320817 | − | 0.206176i | 0.0190035 | − | 0.0122128i | ||||
\(286\) | −0.207304 | + | 1.44183i | −0.0122582 | + | 0.0852574i | ||||
\(287\) | 1.56057 | − | 3.41718i | 0.0921177 | − | 0.201710i | ||||
\(288\) | −1.24615 | + | 2.72870i | −0.0734304 | + | 0.160790i | ||||
\(289\) | −5.93065 | + | 41.2486i | −0.348862 | + | 2.42639i | ||||
\(290\) | −1.16028 | + | 0.745668i | −0.0681341 | + | 0.0437871i | ||||
\(291\) | 0.168987 | + | 0.0496191i | 0.00990619 | + | 0.00290872i | ||||
\(292\) | 0.675947 | + | 4.70131i | 0.0395568 | + | 0.275123i | ||||
\(293\) | −1.41122 | − | 1.62864i | −0.0824444 | − | 0.0951459i | 0.713029 | − | 0.701135i | \(-0.247323\pi\) |
−0.795473 | + | 0.605989i | \(0.792778\pi\) | |||||||
\(294\) | −0.0124123 | − | 0.00797690i | −0.000723900 | − | 0.000465222i | ||||
\(295\) | −13.8366 | + | 15.9683i | −0.805601 | + | 0.929713i | ||||
\(296\) | 4.18114 | − | 1.22769i | 0.243024 | − | 0.0713583i | ||||
\(297\) | −0.0145478 | − | 0.0318553i | −0.000844151 | − | 0.00184843i | ||||
\(298\) | 10.2395 | 0.593155 | ||||||||
\(299\) | −14.8446 | − | 9.56451i | −0.858484 | − | 0.553130i | ||||
\(300\) | −0.182339 | −0.0105274 | ||||||||
\(301\) | 1.64143 | + | 3.59424i | 0.0946107 | + | 0.207168i | ||||
\(302\) | 15.9979 | − | 4.69742i | 0.920578 | − | 0.270306i | ||||
\(303\) | −0.103891 | + | 0.119897i | −0.00596841 | + | 0.00688791i | ||||
\(304\) | 5.21891 | + | 3.35399i | 0.299325 | + | 0.192364i | ||||
\(305\) | 17.0139 | + | 19.6351i | 0.974212 | + | 1.12430i | ||||
\(306\) | 3.27008 | + | 22.7439i | 0.186938 | + | 1.30018i | ||||
\(307\) | 7.73611 | + | 2.27153i | 0.441523 | + | 0.129643i | 0.494936 | − | 0.868930i | \(-0.335192\pi\) |
−0.0534124 | + | 0.998573i | \(0.517010\pi\) | |||||||
\(308\) | −0.332799 | + | 0.213877i | −0.0189630 | + | 0.0121868i | ||||
\(309\) | 0.0329305 | − | 0.229037i | 0.00187335 | − | 0.0130294i | ||||
\(310\) | 12.0525 | − | 26.3912i | 0.684534 | − | 1.49892i | ||||
\(311\) | −5.58092 | + | 12.2205i | −0.316465 | + | 0.692962i | −0.999292 | − | 0.0376180i | \(-0.988023\pi\) |
0.682827 | + | 0.730580i | \(0.260750\pi\) | |||||||
\(312\) | −0.00773176 | + | 0.0537756i | −0.000437725 | + | 0.00304444i | ||||
\(313\) | 17.1169 | − | 11.0004i | 0.967506 | − | 0.621778i | 0.0414404 | − | 0.999141i | \(-0.486805\pi\) |
0.926066 | + | 0.377363i | \(0.123169\pi\) | |||||||
\(314\) | 4.24364 | + | 1.24604i | 0.239482 | + | 0.0703184i | ||||
\(315\) | −1.77866 | − | 12.3708i | −0.100216 | − | 0.697017i | ||||
\(316\) | 1.09492 | + | 1.26360i | 0.0615940 | + | 0.0710833i | ||||
\(317\) | 3.51952 | + | 2.26186i | 0.197676 | + | 0.127039i | 0.635734 | − | 0.771908i | \(-0.280697\pi\) |
−0.438058 | + | 0.898947i | \(0.644334\pi\) | |||||||
\(318\) | −0.0301652 | + | 0.0348125i | −0.00169158 | + | 0.00195219i | ||||
\(319\) | 0.125656 | − | 0.0368958i | 0.00703536 | − | 0.00206577i | ||||
\(320\) | −1.73075 | − | 3.78981i | −0.0967519 | − | 0.211857i | ||||
\(321\) | 0.0606439 | 0.00338481 | ||||||||
\(322\) | −0.676980 | − | 4.74781i | −0.0377266 | − | 0.264585i | ||||
\(323\) | 47.5194 | 2.64405 | ||||||||
\(324\) | 3.73792 | + | 8.18491i | 0.207662 | + | 0.454717i | ||||
\(325\) | 43.6615 | − | 12.8202i | 2.42191 | − | 0.711136i | ||||
\(326\) | 4.96975 | − | 5.73539i | 0.275249 | − | 0.317654i | ||||
\(327\) | 0.0991699 | + | 0.0637326i | 0.00548411 | + | 0.00352442i | ||||
\(328\) | −2.46009 | − | 2.83909i | −0.135836 | − | 0.156763i | ||||
\(329\) | 0.599597 | + | 4.17029i | 0.0330569 | + | 0.229916i | ||||
\(330\) | 0.0233332 | + | 0.00685125i | 0.00128445 | + | 0.000377149i | ||||
\(331\) | 20.7631 | − | 13.3437i | 1.14125 | − | 0.733434i | 0.173368 | − | 0.984857i | \(-0.444535\pi\) |
0.967877 | + | 0.251423i | \(0.0808986\pi\) | |||||||
\(332\) | −0.568711 | + | 3.95547i | −0.0312121 | + | 0.217085i | ||||
\(333\) | 5.43032 | − | 11.8907i | 0.297580 | − | 0.651609i | ||||
\(334\) | −1.67394 | + | 3.66541i | −0.0915938 | + | 0.200563i | ||||
\(335\) | −7.84361 | + | 54.5535i | −0.428542 | + | 2.98058i | ||||
\(336\) | −0.0124123 | + | 0.00797690i | −0.000677147 | + | 0.000435176i | ||||
\(337\) | 31.4021 | + | 9.22050i | 1.71058 | + | 0.502273i | 0.982978 | − | 0.183724i | \(-0.0588152\pi\) |
0.727605 | + | 0.685996i | \(0.240633\pi\) | |||||||
\(338\) | −0.0794558 | − | 0.552627i | −0.00432183 | − | 0.0300590i | ||||
\(339\) | −0.154390 | − | 0.178176i | −0.00838531 | − | 0.00967717i | ||||
\(340\) | −26.8471 | − | 17.2536i | −1.45599 | − | 0.935707i | ||||
\(341\) | −1.80404 | + | 2.08197i | −0.0976942 | + | 0.112745i | ||||
\(342\) | 17.8560 | − | 5.24299i | 0.965542 | − | 0.283509i | ||||
\(343\) | 0.415415 | + | 0.909632i | 0.0224303 | + | 0.0491155i | ||||
\(344\) | 3.95131 | 0.213040 | ||||||||
\(345\) | −0.193319 | + | 0.222577i | −0.0104079 | + | 0.0119831i | ||||
\(346\) | −13.8954 | −0.747022 | ||||||||
\(347\) | −2.83804 | − | 6.21443i | −0.152354 | − | 0.333608i | 0.818030 | − | 0.575175i | \(-0.195066\pi\) |
−0.970384 | + | 0.241567i | \(0.922339\pi\) | |||||||
\(348\) | 0.00468653 | − | 0.00137609i | 0.000251225 | − | 7.37662e-5i | ||||
\(349\) | −0.834162 | + | 0.962674i | −0.0446517 | + | 0.0515308i | −0.777636 | − | 0.628715i | \(-0.783581\pi\) |
0.732984 | + | 0.680245i | \(0.238127\pi\) | |||||||
\(350\) | 10.3964 | + | 6.68134i | 0.555709 | + | 0.357132i | ||||
\(351\) | 0.213458 | + | 0.246344i | 0.0113936 | + | 0.0131489i | ||||
\(352\) | 0.0562996 | + | 0.391572i | 0.00300078 | + | 0.0208709i | ||||
\(353\) | −31.5333 | − | 9.25901i | −1.67835 | − | 0.492807i | −0.702577 | − | 0.711607i | \(-0.747967\pi\) |
−0.975770 | + | 0.218800i | \(0.929786\pi\) | |||||||
\(354\) | 0.0629480 | − | 0.0404542i | 0.00334565 | − | 0.00215012i | ||||
\(355\) | −1.57688 | + | 10.9675i | −0.0836923 | + | 0.582093i | ||||
\(356\) | 3.39713 | − | 7.43867i | 0.180047 | − | 0.394249i | ||||
\(357\) | −0.0469490 | + | 0.102804i | −0.00248480 | + | 0.00544096i | ||||
\(358\) | 1.16711 | − | 8.11742i | 0.0616837 | − | 0.429019i | ||||
\(359\) | 24.1062 | − | 15.4921i | 1.27228 | − | 0.817644i | 0.282364 | − | 0.959307i | \(-0.408881\pi\) |
0.989915 | + | 0.141663i | \(0.0452450\pi\) | |||||||
\(360\) | −11.9918 | − | 3.52110i | −0.632022 | − | 0.185578i | ||||
\(361\) | −2.77318 | − | 19.2879i | −0.145957 | − | 1.01515i | ||||
\(362\) | 9.60284 | + | 11.0823i | 0.504714 | + | 0.582471i | ||||
\(363\) | 0.134593 | + | 0.0864976i | 0.00706429 | + | 0.00453994i | ||||
\(364\) | 2.41130 | − | 2.78279i | 0.126387 | − | 0.145858i | ||||
\(365\) | −18.9870 | + | 5.57508i | −0.993824 | + | 0.291813i | ||||
\(366\) | −0.0382217 | − | 0.0836939i | −0.00199788 | − | 0.00437475i | ||||
\(367\) | −18.9964 | −0.991605 | −0.495803 | − | 0.868435i | \(-0.665126\pi\) | ||||
−0.495803 | + | 0.868435i | \(0.665126\pi\) | |||||||
\(368\) | −4.59999 | − | 1.35651i | −0.239791 | − | 0.0707129i | ||||
\(369\) | −11.2692 | −0.586649 | ||||||||
\(370\) | 7.54202 | + | 16.5147i | 0.392091 | + | 0.858559i | ||||
\(371\) | 2.99553 | − | 0.879568i | 0.155520 | − | 0.0456649i | ||||
\(372\) | −0.0672847 | + | 0.0776507i | −0.00348855 | + | 0.00402600i | ||||
\(373\) | −6.13638 | − | 3.94361i | −0.317730 | − | 0.204192i | 0.372048 | − | 0.928213i | \(-0.378656\pi\) |
−0.689778 | + | 0.724021i | \(0.742292\pi\) | |||||||
\(374\) | 1.98437 | + | 2.29008i | 0.102609 | + | 0.118417i | ||||
\(375\) | −0.0643722 | − | 0.447718i | −0.00332416 | − | 0.0231201i | ||||
\(376\) | 4.04251 | + | 1.18699i | 0.208477 | + | 0.0612142i | ||||
\(377\) | −1.02545 | + | 0.659016i | −0.0528133 | + | 0.0339411i | ||||
\(378\) | −0.0125983 | + | 0.0876229i | −0.000647985 | + | 0.00450684i | ||||
\(379\) | −5.16947 | + | 11.3196i | −0.265538 | + | 0.581447i | −0.994691 | − | 0.102903i | \(-0.967187\pi\) |
0.729153 | + | 0.684350i | \(0.239914\pi\) | |||||||
\(380\) | −10.7371 | + | 23.5110i | −0.550801 | + | 1.20609i | ||||
\(381\) | −0.0260789 | + | 0.181383i | −0.00133606 | + | 0.00929251i | ||||
\(382\) | −14.3194 | + | 9.20252i | −0.732644 | + | 0.470842i | ||||
\(383\) | −5.09661 | − | 1.49650i | −0.260425 | − | 0.0764676i | 0.148914 | − | 0.988850i | \(-0.452422\pi\) |
−0.409338 | + | 0.912383i | \(0.634240\pi\) | |||||||
\(384\) | 0.00209979 | + | 0.0146044i | 0.000107154 | + | 0.000745275i | ||||
\(385\) | −1.07934 | − | 1.24562i | −0.0550080 | − | 0.0634826i | ||||
\(386\) | −3.61365 | − | 2.32235i | −0.183930 | − | 0.118204i | ||||
\(387\) | 7.76211 | − | 8.95795i | 0.394570 | − | 0.455358i | ||||
\(388\) | −11.4532 | + | 3.36297i | −0.581450 | + | 0.170729i | ||||
\(389\) | 2.04648 | + | 4.48117i | 0.103761 | + | 0.227204i | 0.954391 | − | 0.298561i | \(-0.0965065\pi\) |
−0.850630 | + | 0.525765i | \(0.823779\pi\) | |||||||
\(390\) | −0.226350 | −0.0114617 | ||||||||
\(391\) | −35.2592 | + | 10.3084i | −1.78313 | + | 0.521317i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | −0.138127 | − | 0.302456i | −0.00696760 | − | 0.0152569i | ||||
\(394\) | 14.1344 | − | 4.15024i | 0.712082 | − | 0.209086i | ||||
\(395\) | −4.56178 | + | 5.26457i | −0.229528 | + | 0.264889i | ||||
\(396\) | 0.998325 | + | 0.641584i | 0.0501677 | + | 0.0322408i | ||||
\(397\) | −5.86434 | − | 6.76781i | −0.294323 | − | 0.339666i | 0.589258 | − | 0.807945i | \(-0.299420\pi\) |
−0.883581 | + | 0.468278i | \(0.844875\pi\) | |||||||
\(398\) | 2.38989 | + | 16.6221i | 0.119794 | + | 0.833189i | ||||
\(399\) | 0.0878253 | + | 0.0257878i | 0.00439677 | + | 0.00129101i | ||||
\(400\) | 10.3964 | − | 6.68134i | 0.519818 | − | 0.334067i | ||||
\(401\) | −0.680213 | + | 4.73099i | −0.0339682 | + | 0.236254i | −0.999732 | − | 0.0231706i | \(-0.992624\pi\) |
0.965763 | + | 0.259425i | \(0.0835330\pi\) | |||||||
\(402\) | 0.0810814 | − | 0.177544i | 0.00404397 | − | 0.00885507i | ||||
\(403\) | 10.6519 | − | 23.3244i | 0.530609 | − | 1.16187i | ||||
\(404\) | 1.53023 | − | 10.6430i | 0.0761316 | − | 0.529507i | ||||
\(405\) | −31.5375 | + | 20.2679i | −1.56711 | + | 1.00712i | ||||
\(406\) | −0.317634 | − | 0.0932656i | −0.0157639 | − | 0.00462869i | ||||
\(407\) | −0.245335 | − | 1.70634i | −0.0121608 | − | 0.0845801i | ||||
\(408\) | 0.0740104 | + | 0.0854125i | 0.00366406 | + | 0.00422855i | ||||
\(409\) | −27.2378 | − | 17.5046i | −1.34682 | − | 0.865549i | −0.349376 | − | 0.936983i | \(-0.613606\pi\) |
−0.997445 | + | 0.0714336i | \(0.977243\pi\) | |||||||
\(410\) | 10.2495 | − | 11.8286i | 0.506187 | − | 0.584171i | ||||
\(411\) | −0.0213913 | + | 0.00628105i | −0.00105515 | + | 0.000309821i | ||||
\(412\) | 6.51486 | + | 14.2655i | 0.320964 | + | 0.702813i | ||||
\(413\) | −5.07142 | −0.249548 | ||||||||
\(414\) | −12.1117 | + | 7.76378i | −0.595258 | + | 0.381569i | ||||
\(415\) | −16.6492 | −0.817277 | ||||||||
\(416\) | −1.52962 | − | 3.34941i | −0.0749960 | − | 0.164218i | ||||
\(417\) | −0.305063 | + | 0.0895745i | −0.0149390 | + | 0.00438648i | ||||
\(418\) | 1.60715 | − | 1.85475i | 0.0786083 | − | 0.0907189i | ||||
\(419\) | 0.654944 | + | 0.420907i | 0.0319961 | + | 0.0205626i | 0.556541 | − | 0.830820i | \(-0.312128\pi\) |
−0.524545 | + | 0.851383i | \(0.675765\pi\) | |||||||
\(420\) | −0.0402556 | − | 0.0464575i | −0.00196427 | − | 0.00226689i | ||||
\(421\) | −4.38905 | − | 30.5265i | −0.213909 | − | 1.48777i | −0.759934 | − | 0.650001i | \(-0.774769\pi\) |
0.546025 | − | 0.837769i | \(-0.316141\pi\) | |||||||
\(422\) | −8.24880 | − | 2.42207i | −0.401545 | − | 0.117904i | ||||
\(423\) | 10.6323 | − | 6.83295i | 0.516959 | − | 0.332229i | ||||
\(424\) | 0.444306 | − | 3.09022i | 0.0215774 | − | 0.150074i | ||||
\(425\) | 39.3238 | − | 86.1070i | 1.90748 | − | 4.17680i | ||||
\(426\) | 0.0163007 | − | 0.0356935i | 0.000789769 | − | 0.00172935i | ||||
\(427\) | −0.887468 | + | 6.17247i | −0.0429476 | + | 0.298707i | ||||
\(428\) | −3.45771 | + | 2.22214i | −0.167135 | + | 0.107411i | ||||
\(429\) | 0.0206217 | + | 0.00605509i | 0.000995627 | + | 0.000292342i | ||||
\(430\) | 2.34284 | + | 16.2948i | 0.112982 | + | 0.785807i | ||||
\(431\) | −15.9850 | − | 18.4476i | −0.769968 | − | 0.888591i | 0.226374 | − | 0.974040i | \(-0.427313\pi\) |
−0.996342 | + | 0.0854496i | \(0.972767\pi\) | |||||||
\(432\) | 0.0744711 | + | 0.0478597i | 0.00358299 | + | 0.00230265i | ||||
\(433\) | −16.6887 | + | 19.2597i | −0.802006 | + | 0.925564i | −0.998490 | − | 0.0549428i | \(-0.982502\pi\) |
0.196483 | + | 0.980507i | \(0.437048\pi\) | |||||||
\(434\) | 6.68165 | − | 1.96191i | 0.320729 | − | 0.0941747i | ||||
\(435\) | 0.00845365 | + | 0.0185109i | 0.000405321 | + | 0.000887530i | ||||
\(436\) | −7.98965 | −0.382635 | ||||||||
\(437\) | 12.3279 | + | 27.0778i | 0.589721 | + | 1.29531i | ||||
\(438\) | 0.0700790 | 0.00334850 | ||||||||
\(439\) | 4.44671 | + | 9.73693i | 0.212230 | + | 0.464718i | 0.985569 | − | 0.169274i | \(-0.0541423\pi\) |
−0.773339 | + | 0.633992i | \(0.781415\pi\) | |||||||
\(440\) | −1.58143 | + | 0.464349i | −0.0753916 | + | 0.0221370i | ||||
\(441\) | 1.96444 | − | 2.26708i | 0.0935447 | − | 0.107956i | ||||
\(442\) | −23.7273 | − | 15.2486i | −1.12859 | − | 0.725302i | ||||
\(443\) | 7.39317 | + | 8.53217i | 0.351260 | + | 0.405376i | 0.903693 | − | 0.428182i | \(-0.140846\pi\) |
−0.552433 | + | 0.833558i | \(0.686300\pi\) | |||||||
\(444\) | −0.00915017 | − | 0.0636408i | −0.000434248 | − | 0.00302026i | ||||
\(445\) | 32.6906 | + | 9.59884i | 1.54968 | + | 0.455028i | ||||
\(446\) | 20.7309 | − | 13.3229i | 0.981635 | − | 0.630858i | ||||
\(447\) | 0.0215007 | − | 0.149541i | 0.00101695 | − | 0.00707303i | ||||
\(448\) | 0.415415 | − | 0.909632i | 0.0196265 | − | 0.0429761i | ||||
\(449\) | −10.6839 | + | 23.3944i | −0.504203 | + | 1.10405i | 0.470877 | + | 0.882199i | \(0.343938\pi\) |
−0.975080 | + | 0.221852i | \(0.928790\pi\) | |||||||
\(450\) | 5.27587 | − | 36.6945i | 0.248707 | − | 1.72980i | ||||
\(451\) | −1.25021 | + | 0.803463i | −0.0588702 | + | 0.0378336i | ||||
\(452\) | 15.3316 | + | 4.50175i | 0.721136 | + | 0.211745i | ||||
\(453\) | −0.0350104 | − | 0.243503i | −0.00164493 | − | 0.0114408i | ||||
\(454\) | −8.50297 | − | 9.81295i | −0.399064 | − | 0.460545i | ||||
\(455\) | 12.9057 | + | 8.29399i | 0.605029 | + | 0.388828i | ||||
\(456\) | 0.0599414 | − | 0.0691761i | 0.00280701 | − | 0.00323947i | ||||
\(457\) | 9.60529 | − | 2.82037i | 0.449317 | − | 0.131931i | −0.0492426 | − | 0.998787i | \(-0.515681\pi\) |
0.498559 | + | 0.866856i | \(0.333863\pi\) | |||||||
\(458\) | −11.9536 | − | 26.1746i | −0.558553 | − | 1.22306i | ||||
\(459\) | 0.678077 | 0.0316499 | ||||||||
\(460\) | 2.86665 | − | 19.7742i | 0.133658 | − | 0.921979i | ||||
\(461\) | 7.81147 | 0.363816 | 0.181908 | − | 0.983316i | \(-0.441773\pi\) | ||||
0.181908 | + | 0.983316i | \(0.441773\pi\) | |||||||
\(462\) | 0.00242473 | + | 0.00530941i | 0.000112809 | + | 0.000247016i | ||||
\(463\) | 36.5105 | − | 10.7204i | 1.69679 | − | 0.498221i | 0.716798 | − | 0.697281i | \(-0.245607\pi\) |
0.979987 | + | 0.199059i | \(0.0637887\pi\) | |||||||
\(464\) | −0.216787 | + | 0.250186i | −0.0100641 | + | 0.0116146i | ||||
\(465\) | −0.360119 | − | 0.231435i | −0.0167001 | − | 0.0107325i | ||||
\(466\) | 1.29296 | + | 1.49215i | 0.0598951 | + | 0.0691226i | ||||
\(467\) | 2.07598 | + | 14.4388i | 0.0960651 | + | 0.668148i | 0.979774 | + | 0.200110i | \(0.0641298\pi\) |
−0.883708 | + | 0.468038i | \(0.844961\pi\) | |||||||
\(468\) | −10.5983 | − | 3.11193i | −0.489904 | − | 0.143849i | ||||
\(469\) | −11.1286 | + | 7.15192i | −0.513871 | + | 0.330245i | ||||
\(470\) | −2.49811 | + | 17.3747i | −0.115229 | + | 0.801437i | ||||
\(471\) | 0.0271084 | − | 0.0593592i | 0.00124909 | − | 0.00273513i | ||||
\(472\) | −2.10674 | + | 4.61313i | −0.0969708 | + | 0.212336i | ||||
\(473\) | 0.222457 | − | 1.54722i | 0.0102286 | − | 0.0711415i | ||||
\(474\) | 0.0207532 | − | 0.0133373i | 0.000953227 | − | 0.000612602i | ||||
\(475\) | −73.5612 | − | 21.5995i | −3.37522 | − | 0.991054i | ||||
\(476\) | −1.09011 | − | 7.58185i | −0.0499649 | − | 0.347513i | ||||
\(477\) | −6.13297 | − | 7.07783i | −0.280810 | − | 0.324072i | ||||
\(478\) | 10.4142 | + | 6.69280i | 0.476335 | + | 0.306122i | ||||
\(479\) | −11.0839 | + | 12.7915i | −0.506435 | + | 0.584457i | −0.950182 | − | 0.311695i | \(-0.899103\pi\) |
0.443747 | + | 0.896152i | \(0.353649\pi\) | |||||||
\(480\) | −0.0589820 | + | 0.0173187i | −0.00269215 | + | 0.000790486i | ||||
\(481\) | 6.66559 | + | 14.5956i | 0.303925 | + | 0.665502i | ||||
\(482\) | −11.0649 | −0.503994 | ||||||||
\(483\) | −0.0707602 | 8.25465e-5i | −0.00321970 | 3.75600e-6i | ||||||
\(484\) | −10.8435 | −0.492886 | ||||||||
\(485\) | −20.6595 | − | 45.2381i | −0.938101 | − | 2.05415i | ||||
\(486\) | 0.382199 | − | 0.112224i | 0.0173369 | − | 0.00509057i | ||||
\(487\) | −11.0073 | + | 12.7031i | −0.498789 | + | 0.575633i | −0.948193 | − | 0.317696i | \(-0.897091\pi\) |
0.449404 | + | 0.893329i | \(0.351636\pi\) | |||||||
\(488\) | 5.24601 | + | 3.37141i | 0.237476 | + | 0.152616i | ||||
\(489\) | −0.0733263 | − | 0.0846230i | −0.00331593 | − | 0.00382679i | ||||
\(490\) | 0.592928 | + | 4.12391i | 0.0267858 | + | 0.186299i | ||||
\(491\) | 22.9696 | + | 6.74449i | 1.03661 | + | 0.304375i | 0.755394 | − | 0.655271i | \(-0.227446\pi\) |
0.281211 | + | 0.959646i | \(0.409264\pi\) | |||||||
\(492\) | −0.0466288 | + | 0.0299665i | −0.00210219 | + | 0.00135099i | ||||
\(493\) | −0.360872 | + | 2.50992i | −0.0162529 | + | 0.113041i | ||||
\(494\) | −9.48937 | + | 20.7788i | −0.426947 | + | 0.934884i | ||||
\(495\) | −2.05390 | + | 4.49741i | −0.0923159 | + | 0.202144i | ||||
\(496\) | 0.991042 | − | 6.89285i | 0.0444991 | − | 0.309498i | ||||
\(497\) | −2.23730 | + | 1.43783i | −0.100357 | + | 0.0644953i | ||||
\(498\) | 0.0565729 | + | 0.0166113i | 0.00253509 | + | 0.000744371i | ||||
\(499\) | −1.82017 | − | 12.6596i | −0.0814821 | − | 0.566721i | −0.989136 | − | 0.147002i | \(-0.953038\pi\) |
0.907654 | − | 0.419719i | \(-0.137871\pi\) | |||||||
\(500\) | 20.0757 | + | 23.1686i | 0.897814 | + | 1.03613i | ||||
\(501\) | 0.0500161 | + | 0.0321434i | 0.00223455 | + | 0.00143606i | ||||
\(502\) | −2.16571 | + | 2.49936i | −0.0966604 | + | 0.111552i | ||||
\(503\) | 17.3981 | − | 5.10854i | 0.775743 | − | 0.227779i | 0.130185 | − | 0.991490i | \(-0.458443\pi\) |
0.645558 | + | 0.763711i | \(0.276625\pi\) | |||||||
\(504\) | −1.24615 | − | 2.72870i | −0.0555081 | − | 0.121546i | ||||
\(505\) | 44.7979 | 1.99348 | ||||||||
\(506\) | −0.790149 | + | 1.72486i | −0.0351264 | + | 0.0766793i | ||||
\(507\) | −0.00823761 | −0.000365845 | ||||||||
\(508\) | −5.15936 | − | 11.2974i | −0.228909 | − | 0.501242i | ||||
\(509\) | −2.00048 | + | 0.587394i | −0.0886698 | + | 0.0260358i | −0.325767 | − | 0.945450i | \(-0.605622\pi\) |
0.237097 | + | 0.971486i | \(0.423804\pi\) | |||||||
\(510\) | −0.308351 | + | 0.355856i | −0.0136540 | + | 0.0157575i | ||||
\(511\) | −3.99567 | − | 2.56786i | −0.176758 | − | 0.113595i | ||||
\(512\) | −0.654861 | − | 0.755750i | −0.0289410 | − | 0.0333997i | ||||
\(513\) | −0.0781562 | − | 0.543589i | −0.00345068 | − | 0.0240000i | ||||
\(514\) | −19.2369 | − | 5.64846i | −0.848503 | − | 0.249143i | ||||
\(515\) | −54.9669 | + | 35.3251i | −2.42213 | + | 1.55661i | ||||
\(516\) | 0.00829692 | − | 0.0577063i | 0.000365251 | − | 0.00254038i | ||||
\(517\) | 0.692384 | − | 1.51611i | 0.0304510 | − | 0.0666784i | ||||
\(518\) | −1.81024 | + | 3.96387i | −0.0795373 | + | 0.174162i | ||||
\(519\) | −0.0291774 | + | 0.202934i | −0.00128075 | + | 0.00890779i | ||||
\(520\) | 12.9057 | − | 8.29399i | 0.565953 | − | 0.363716i | ||||
\(521\) | 22.9854 | + | 6.74913i | 1.00701 | + | 0.295685i | 0.743329 | − | 0.668926i | \(-0.233246\pi\) |
0.263680 | + | 0.964610i | \(0.415064\pi\) | |||||||
\(522\) | 0.141327 | + | 0.982949i | 0.00618571 | + | 0.0430225i | ||||
\(523\) | −5.21343 | − | 6.01662i | −0.227968 | − | 0.263089i | 0.630230 | − | 0.776409i | \(-0.282961\pi\) |
−0.858197 | + | 0.513320i | \(0.828415\pi\) | |||||||
\(524\) | 18.9583 | + | 12.1837i | 0.828196 | + | 0.532249i | ||||
\(525\) | 0.119407 | − | 0.137803i | 0.00521134 | − | 0.00601420i | ||||
\(526\) | −15.0812 | + | 4.42823i | −0.657570 | + | 0.193080i | ||||
\(527\) | −22.1586 | − | 48.5206i | −0.965244 | − | 2.11359i | ||||
\(528\) | 0.00583688 | 0.000254018 | ||||||||
\(529\) | −15.0212 | − | 17.4173i | −0.653096 | − | 0.757275i | ||||
\(530\) | 13.0072 | 0.564998 | ||||||||
\(531\) | 6.31978 | + | 13.8384i | 0.274255 | + | 0.600534i | ||||
\(532\) | −5.95243 | + | 1.74779i | −0.258071 | + | 0.0757764i | ||||
\(533\) | 9.05844 | − | 10.4540i | 0.392365 | − | 0.452813i | ||||
\(534\) | −0.101504 | − | 0.0652325i | −0.00439249 | − | 0.00282288i | ||||
\(535\) | −11.2141 | − | 12.9417i | −0.484826 | − | 0.559519i | ||||
\(536\) | 1.88263 | + | 13.0940i | 0.0813170 | + | 0.565573i | ||||
\(537\) | −0.116099 | − | 0.0340898i | −0.00501004 | − | 0.00147108i | ||||
\(538\) | −13.1639 | + | 8.45992i | −0.567536 | + | 0.364733i | ||||
\(539\) | 0.0562996 | − | 0.391572i | 0.00242500 | − | 0.0168662i | ||||
\(540\) | −0.153213 | + | 0.335489i | −0.00659323 | + | 0.0144372i | ||||
\(541\) | 17.3025 | − | 37.8872i | 0.743892 | − | 1.62890i | −0.0331514 | − | 0.999450i | \(-0.510554\pi\) |
0.777044 | − | 0.629447i | \(-0.216718\pi\) | |||||||
\(542\) | 0.380578 | − | 2.64698i | 0.0163472 | − | 0.113698i | ||||
\(543\) | 0.182013 | − | 0.116973i | 0.00781094 | − | 0.00501979i | ||||
\(544\) | −7.34954 | − | 2.15802i | −0.315109 | − | 0.0925243i | ||||
\(545\) | −4.73729 | − | 32.9486i | −0.202923 | − | 1.41136i | ||||
\(546\) | −0.0355776 | − | 0.0410588i | −0.00152258 | − | 0.00175715i | ||||
\(547\) | −28.2453 | − | 18.1522i | −1.20768 | − | 0.776130i | −0.227413 | − | 0.973798i | \(-0.573027\pi\) |
−0.980269 | + | 0.197668i | \(0.936663\pi\) | |||||||
\(548\) | 0.989507 | − | 1.14195i | 0.0422696 | − | 0.0487817i | ||||
\(549\) | 17.9487 | − | 5.27023i | 0.766033 | − | 0.224928i | ||||
\(550\) | −2.03092 | − | 4.44709i | −0.0865985 | − | 0.189624i | ||||
\(551\) | 2.05370 | 0.0874906 | ||||||||
\(552\) | −0.0294699 | + | 0.0643315i | −0.00125432 | + | 0.00273813i | ||||
\(553\) | −1.67199 | −0.0711002 | ||||||||
\(554\) | −2.82395 | − | 6.18358i | −0.119978 | − | 0.262715i | ||||
\(555\) | 0.257023 | − | 0.0754689i | 0.0109100 | − | 0.00320348i | ||||
\(556\) | 14.1114 | − | 16.2854i | 0.598457 | − | 0.690657i | ||||
\(557\) | 4.79393 | + | 3.08087i | 0.203125 | + | 0.130541i | 0.638249 | − | 0.769830i | \(-0.279659\pi\) |
−0.435124 | + | 0.900371i | \(0.643295\pi\) | |||||||
\(558\) | −13.6798 | − | 15.7874i | −0.579113 | − | 0.668332i | ||||
\(559\) | 2.07059 | + | 14.4013i | 0.0875766 | + | 0.609109i | ||||
\(560\) | 3.99755 | + | 1.17379i | 0.168927 | + | 0.0496015i | ||||
\(561\) | 0.0376120 | − | 0.0241717i | 0.00158798 | − | 0.00102053i | ||||
\(562\) | 2.15437 | − | 14.9840i | 0.0908767 | − | 0.632061i | ||||
\(563\) | 4.71331 | − | 10.3207i | 0.198642 | − | 0.434966i | −0.783929 | − | 0.620850i | \(-0.786788\pi\) |
0.982572 | + | 0.185884i | \(0.0595148\pi\) | |||||||
\(564\) | 0.0258236 | − | 0.0565458i | 0.00108737 | − | 0.00238101i | ||||
\(565\) | −9.47430 | + | 65.8952i | −0.398587 | + | 2.77223i | ||||
\(566\) | −18.4956 | + | 11.8864i | −0.777429 | + | 0.499623i | ||||
\(567\) | −8.63356 | − | 2.53504i | −0.362575 | − | 0.106462i | ||||
\(568\) | 0.378484 | + | 2.63242i | 0.0158808 | + | 0.110454i | ||||
\(569\) | 26.5539 | + | 30.6449i | 1.11320 | + | 1.28470i | 0.954775 | + | 0.297329i | \(0.0960958\pi\) |
0.158424 | + | 0.987371i | \(0.449359\pi\) | |||||||
\(570\) | 0.320817 | + | 0.206176i | 0.0134375 | + | 0.00863578i | ||||
\(571\) | −14.3558 | + | 16.5675i | −0.600773 | + | 0.693330i | −0.971938 | − | 0.235238i | \(-0.924413\pi\) |
0.371164 | + | 0.928567i | \(0.378959\pi\) | |||||||
\(572\) | −1.39765 | + | 0.410388i | −0.0584389 | + | 0.0171592i | ||||
\(573\) | 0.104329 | + | 0.228449i | 0.00435841 | + | 0.00954359i | ||||
\(574\) | 3.75666 | 0.156800 | ||||||||
\(575\) | 59.2677 | + | 0.0691397i | 2.47163 | + | 0.00288333i | ||||
\(576\) | −2.99978 | −0.124991 | ||||||||
\(577\) | −8.00234 | − | 17.5227i | −0.333142 | − | 0.729479i | 0.666733 | − | 0.745297i | \(-0.267692\pi\) |
−0.999875 | + | 0.0158178i | \(0.994965\pi\) | |||||||
\(578\) | −39.9847 | + | 11.7406i | −1.66315 | + | 0.488344i | ||||
\(579\) | −0.0415043 | + | 0.0478985i | −0.00172486 | + | 0.00199059i | ||||
\(580\) | −1.16028 | − | 0.745668i | −0.0481781 | − | 0.0309622i | ||||
\(581\) | −2.61692 | − | 3.02009i | −0.108568 | − | 0.125294i | ||||
\(582\) | 0.0250647 | + | 0.174329i | 0.00103896 | + | 0.00722615i | ||||
\(583\) | −1.18503 | − | 0.347956i | −0.0490789 | − | 0.0144109i | ||||
\(584\) | −3.99567 | + | 2.56786i | −0.165342 | + | 0.106259i | ||||
\(585\) | 6.54930 | − | 45.5514i | 0.270780 | − | 1.88332i | ||||
\(586\) | 0.895217 | − | 1.96025i | 0.0369811 | − | 0.0809772i | ||||
\(587\) | −0.672878 | + | 1.47340i | −0.0277727 | + | 0.0608136i | −0.923010 | − | 0.384776i | \(-0.874279\pi\) |
0.895237 | + | 0.445590i | \(0.147006\pi\) | |||||||
\(588\) | 0.00209979 | − | 0.0146044i | 8.65938e−5 | − | 0.000602273i | ||||
\(589\) | −36.3430 | + | 23.3563i | −1.49749 | + | 0.962378i | ||||
\(590\) | −20.2733 | − | 5.95277i | −0.834637 | − | 0.245072i | ||||
\(591\) | −0.0309323 | − | 0.215139i | −0.00127238 | − | 0.00884962i | ||||
\(592\) | 2.85366 | + | 3.29330i | 0.117285 | + | 0.135354i | ||||
\(593\) | −6.11927 | − | 3.93262i | −0.251288 | − | 0.161493i | 0.408933 | − | 0.912565i | \(-0.365901\pi\) |
−0.660221 | + | 0.751071i | \(0.729537\pi\) | |||||||
\(594\) | 0.0229332 | − | 0.0264664i | 0.000940962 | − | 0.00108593i | ||||
\(595\) | 30.6205 | − | 8.99099i | 1.25532 | − | 0.368595i | ||||
\(596\) | 4.25362 | + | 9.31413i | 0.174235 | + | 0.381522i | ||||
\(597\) | 0.247773 | 0.0101407 | ||||||||
\(598\) | 2.53353 | − | 17.4763i | 0.103604 | − | 0.714661i | ||||
\(599\) | 6.90069 | 0.281954 | 0.140977 | − | 0.990013i | \(-0.454976\pi\) | ||||
0.140977 | + | 0.990013i | \(0.454976\pi\) | |||||||
\(600\) | −0.0757464 | − | 0.165862i | −0.00309233 | − | 0.00677127i | ||||
\(601\) | −11.7833 | + | 3.45990i | −0.480652 | + | 0.141132i | −0.513078 | − | 0.858342i | \(-0.671495\pi\) |
0.0324259 | + | 0.999474i | \(0.489677\pi\) | |||||||
\(602\) | −2.58756 | + | 2.98620i | −0.105461 | + | 0.121708i | ||||
\(603\) | 33.3834 | + | 21.4542i | 1.35948 | + | 0.873683i | ||||
\(604\) | 10.9187 | + | 12.6009i | 0.444276 | + | 0.512721i | ||||
\(605\) | −6.42942 | − | 44.7176i | −0.261393 | − | 1.81803i | ||||
\(606\) | −0.152220 | − | 0.0446959i | −0.00618353 | − | 0.00181565i | ||||
\(607\) | 13.6815 | − | 8.79258i | 0.555316 | − | 0.356880i | −0.232687 | − | 0.972552i | \(-0.574752\pi\) |
0.788003 | + | 0.615672i | \(0.211115\pi\) | |||||||
\(608\) | −0.882882 | + | 6.14058i | −0.0358056 | + | 0.249033i | ||||
\(609\) | −0.00202905 | + | 0.00444299i | −8.22211e−5 | + | 0.000180039i | ||||
\(610\) | −10.7929 | + | 23.6331i | −0.436990 | + | 0.956875i | ||||
\(611\) | −2.20781 | + | 15.3557i | −0.0893186 | + | 0.621224i | ||||
\(612\) | −19.3301 | + | 12.4227i | −0.781374 | + | 0.502159i | ||||
\(613\) | 30.1284 | + | 8.84650i | 1.21687 | + | 0.357307i | 0.826282 | − | 0.563257i | \(-0.190452\pi\) |
0.390593 | + | 0.920564i | \(0.372270\pi\) | |||||||
\(614\) | 1.14744 | + | 7.98064i | 0.0463070 | + | 0.322073i | ||||
\(615\) | −0.151227 | − | 0.174525i | −0.00609805 | − | 0.00703752i | ||||
\(616\) | −0.332799 | − | 0.213877i | −0.0134089 | − | 0.00861735i | ||||
\(617\) | −0.302504 | + | 0.349109i | −0.0121784 | + | 0.0140546i | −0.761806 | − | 0.647805i | \(-0.775687\pi\) |
0.749628 | + | 0.661860i | \(0.230233\pi\) | |||||||
\(618\) | 0.222019 | − | 0.0651906i | 0.00893091 | − | 0.00262235i | ||||
\(619\) | −8.66879 | − | 18.9820i | −0.348428 | − | 0.762951i | −0.999991 | − | 0.00435586i | \(-0.998613\pi\) |
0.651563 | − | 0.758595i | \(-0.274114\pi\) | |||||||
\(620\) | 29.0131 | 1.16519 | ||||||||
\(621\) | 0.175912 | + | 0.386386i | 0.00705911 | + | 0.0155051i | ||||
\(622\) | −13.4346 | −0.538677 | ||||||||
\(623\) | 3.39713 | + | 7.43867i | 0.136103 | + | 0.298024i | ||||
\(624\) | −0.0521279 | + | 0.0153061i | −0.00208679 | + | 0.000612735i | ||||
\(625\) | −43.1774 | + | 49.8294i | −1.72710 | + | 1.99317i | ||||
\(626\) | 17.1169 | + | 11.0004i | 0.684130 | + | 0.439664i | ||||
\(627\) | −0.0237128 | − | 0.0273660i | −0.000946997 | − | 0.00109289i | ||||
\(628\) | 0.629429 | + | 4.37778i | 0.0251170 | + | 0.174692i | ||||
\(629\) | 32.0268 | + | 9.40392i | 1.27699 | + | 0.374959i | ||||
\(630\) | 10.5140 | − | 6.75695i | 0.418889 | − | 0.269203i | ||||
\(631\) | 5.88595 | − | 40.9377i | 0.234316 | − | 1.62970i | −0.444770 | − | 0.895645i | \(-0.646715\pi\) |
0.679086 | − | 0.734058i | \(-0.262376\pi\) | |||||||
\(632\) | −0.694569 | + | 1.52089i | −0.0276285 | + | 0.0604979i | ||||
\(633\) | −0.0526934 | + | 0.115383i | −0.00209438 | + | 0.00458604i | ||||
\(634\) | −0.595398 | + | 4.14108i | −0.0236463 | + | 0.164463i | ||||
\(635\) | 43.5304 | − | 27.9753i | 1.72745 | − | 1.11016i | ||||
\(636\) | −0.0441977 | − | 0.0129776i | −0.00175255 | − | 0.000514596i | ||||
\(637\) | 0.524026 | + | 3.64468i | 0.0207627 | + | 0.144408i | ||||
\(638\) | 0.0857608 | + | 0.0989732i | 0.00339530 | + | 0.00391839i | ||||
\(639\) | 6.71142 | + | 4.31317i | 0.265500 | + | 0.170626i | ||||
\(640\) | 2.72836 | − | 3.14869i | 0.107848 | − | 0.124463i | ||||
\(641\) | −17.9344 | + | 5.26601i | −0.708365 | + | 0.207995i | −0.616018 | − | 0.787732i | \(-0.711255\pi\) |
−0.0923472 | + | 0.995727i | \(0.529437\pi\) | |||||||
\(642\) | 0.0251924 | + | 0.0551636i | 0.000994264 | + | 0.00217713i | ||||
\(643\) | 35.2690 | 1.39087 | 0.695436 | − | 0.718588i | \(-0.255211\pi\) | ||||
0.695436 | + | 0.718588i | \(0.255211\pi\) | |||||||
\(644\) | 4.03753 | − | 2.58811i | 0.159101 | − | 0.101986i | ||||
\(645\) | 0.242895 | 0.00956398 | ||||||||
\(646\) | 19.7403 | + | 43.2252i | 0.776670 | + | 1.70067i | ||||
\(647\) | 16.4685 | − | 4.83560i | 0.647445 | − | 0.190107i | 0.0585094 | − | 0.998287i | \(-0.481365\pi\) |
0.588936 | + | 0.808180i | \(0.299547\pi\) | |||||||
\(648\) | −5.89246 | + | 6.80027i | −0.231478 | + | 0.267140i | ||||
\(649\) | 1.68776 | + | 1.08466i | 0.0662506 | + | 0.0425766i | ||||
\(650\) | 29.7993 | + | 34.3902i | 1.16883 | + | 1.34890i | ||||
\(651\) | −0.0146224 | − | 0.101701i | −0.000573096 | − | 0.00398597i | ||||
\(652\) | 7.28160 | + | 2.13807i | 0.285170 | + | 0.0837333i | ||||
\(653\) | 13.5754 | − | 8.72440i | 0.531247 | − | 0.341412i | −0.247360 | − | 0.968924i | \(-0.579563\pi\) |
0.778607 | + | 0.627512i | \(0.215927\pi\) | |||||||
\(654\) | −0.0167766 | + | 0.116684i | −0.000656016 | + | 0.00456269i | ||||
\(655\) | −39.0037 | + | 85.4062i | −1.52400 | + | 3.33710i | ||||
\(656\) | 1.56057 | − | 3.41718i | 0.0609301 | − | 0.133418i | ||||
\(657\) | −2.02769 | + | 14.1029i | −0.0791078 | + | 0.550207i | ||||
\(658\) | −3.54435 | + | 2.27781i | −0.138173 | + | 0.0887984i | ||||
\(659\) | −23.9721 | − | 7.03884i | −0.933820 | − | 0.274194i | −0.220785 | − | 0.975323i | \(-0.570862\pi\) |
−0.713035 | + | 0.701128i | \(0.752680\pi\) | |||||||
\(660\) | 0.00346085 | + | 0.0240708i | 0.000134713 | + | 0.000936953i | ||||
\(661\) | −10.8159 | − | 12.4823i | −0.420691 | − | 0.485504i | 0.505356 | − | 0.862911i | \(-0.331361\pi\) |
−0.926047 | + | 0.377407i | \(0.876816\pi\) | |||||||
\(662\) | 20.7631 | + | 13.3437i | 0.806982 | + | 0.518616i | ||||
\(663\) | −0.272518 | + | 0.314503i | −0.0105837 | + | 0.0122143i | ||||
\(664\) | −3.83428 | + | 1.12584i | −0.148799 | + | 0.0436913i | ||||
\(665\) | −10.7371 | − | 23.5110i | −0.416367 | − | 0.911716i | ||||
\(666\) | 13.0720 | 0.506531 | ||||||||
\(667\) | −1.52384 | + | 0.445509i | −0.0590032 | + | 0.0172502i | ||||
\(668\) | −4.02956 | −0.155908 | ||||||||
\(669\) | −0.151042 | − | 0.330736i | −0.00583963 | − | 0.0127870i | ||||
\(670\) | −52.8820 | + | 15.5276i | −2.04301 | + | 0.599882i | ||||
\(671\) | 1.61550 | − | 1.86438i | 0.0623656 | − | 0.0719738i | ||||
\(672\) | −0.0124123 | − | 0.00797690i | −0.000478815 | − | 0.000307716i | ||||
\(673\) | 10.0433 | + | 11.5906i | 0.387142 | + | 0.446786i | 0.915550 | − | 0.402205i | \(-0.131756\pi\) |
−0.528408 | + | 0.848991i | \(0.677211\pi\) | |||||||
\(674\) | 4.65766 | + | 32.3947i | 0.179406 | + | 1.24780i | ||||
\(675\) | −1.04968 | − | 0.308214i | −0.0404022 | − | 0.0118632i | ||||
\(676\) | 0.469680 | − | 0.301845i | 0.0180646 | − | 0.0116094i | ||||
\(677\) | 5.61770 | − | 39.0720i | 0.215906 | − | 1.50166i | −0.537030 | − | 0.843563i | \(-0.680454\pi\) |
0.752936 | − | 0.658094i | \(-0.228637\pi\) | |||||||
\(678\) | 0.0979383 | − | 0.214455i | 0.00376130 | − | 0.00823609i | ||||
\(679\) | 4.95870 | − | 10.8580i | 0.190298 | − | 0.416694i | ||||
\(680\) | 4.54172 | − | 31.5884i | 0.174167 | − | 1.21136i | ||||
\(681\) | −0.161166 | + | 0.103575i | −0.00617591 | + | 0.00396901i | ||||
\(682\) | −2.64325 | − | 0.776129i | −0.101215 | − | 0.0297195i | ||||
\(683\) | 5.86810 | + | 40.8136i | 0.224537 | + | 1.56169i | 0.720569 | + | 0.693383i | \(0.243881\pi\) |
−0.496032 | + | 0.868304i | \(0.665210\pi\) | |||||||
\(684\) | 12.1868 | + | 14.0644i | 0.465976 | + | 0.537764i | ||||
\(685\) | 5.29601 | + | 3.40354i | 0.202350 | + | 0.130043i | ||||
\(686\) | −0.654861 | + | 0.755750i | −0.0250027 | + | 0.0288547i | ||||
\(687\) | −0.407364 | + | 0.119613i | −0.0155419 | + | 0.00456351i | ||||
\(688\) | 1.64143 | + | 3.59424i | 0.0625791 | + | 0.137029i | ||||
\(689\) | 11.4957 | 0.437951 | ||||||||
\(690\) | −0.282771 | − | 0.0833874i | −0.0107649 | − | 0.00317450i | ||||
\(691\) | −8.82128 | −0.335577 | −0.167789 | − | 0.985823i | \(-0.553663\pi\) | ||||
−0.167789 | + | 0.985823i | \(0.553663\pi\) | |||||||
\(692\) | −5.77236 | − | 12.6397i | −0.219432 | − | 0.480490i | ||||
\(693\) | −1.13864 | + | 0.334335i | −0.0432534 | + | 0.0127003i | ||||
\(694\) | 4.47388 | − | 5.16314i | 0.169826 | − | 0.195990i | ||||
\(695\) | 75.5267 | + | 48.5381i | 2.86489 | + | 1.84115i | ||||
\(696\) | 0.00319859 | + | 0.00369137i | 0.000121242 | + | 0.000139921i | ||||
\(697\) | −4.09515 | − | 28.4824i | −0.155115 | − | 1.07885i | ||||
\(698\) | −1.22220 | − | 0.358871i | −0.0462611 | − | 0.0135835i | ||||
\(699\) | 0.0245069 | − | 0.0157496i | 0.000926934 | − | 0.000595705i | ||||
\(700\) | −1.75875 | + | 12.2324i | −0.0664746 | + | 0.462341i | ||||
\(701\) | −15.3050 | + | 33.5132i | −0.578061 | + | 1.26578i | 0.364332 | + | 0.931269i | \(0.381297\pi\) |
−0.942393 | + | 0.334508i | \(0.891430\pi\) | |||||||
\(702\) | −0.135408 | + | 0.296503i | −0.00511066 | + | 0.0111908i | ||||
\(703\) | 3.84730 | − | 26.7586i | 0.145104 | − | 1.00922i | ||||
\(704\) | −0.332799 | + | 0.213877i | −0.0125428 | + | 0.00806079i | ||||
\(705\) | 0.248501 | + | 0.0729666i | 0.00935910 | + | 0.00274808i | ||||
\(706\) | −4.67711 | − | 32.5300i | −0.176025 | − | 1.22428i | ||||
\(707\) | 7.04133 | + | 8.12612i | 0.264816 | + | 0.305614i | ||||
\(708\) | 0.0629480 | + | 0.0404542i | 0.00236573 | + | 0.00152036i | ||||
\(709\) | 21.0514 | − | 24.2946i | 0.790601 | − | 0.912402i | −0.207226 | − | 0.978293i | \(-0.566443\pi\) |
0.997827 | + | 0.0658909i | \(0.0209889\pi\) | |||||||
\(710\) | −10.6314 | + | 3.12167i | −0.398990 | + | 0.117154i | ||||
\(711\) | 2.08356 | + | 4.56235i | 0.0781394 | + | 0.171102i | ||||
\(712\) | 8.17767 | 0.306471 | ||||||||
\(713\) | 21.8997 | − | 25.2141i | 0.820151 | − | 0.944277i | ||||
\(714\) | −0.113017 | −0.00422955 | ||||||||
\(715\) | −2.52111 | − | 5.52047i | −0.0942843 | − | 0.206454i | ||||
\(716\) | 7.86870 | − | 2.31046i | 0.294067 | − | 0.0863459i | ||||
\(717\) | 0.119612 | − | 0.138039i | 0.00446698 | − | 0.00515517i | ||||
\(718\) | 24.1062 | + | 15.4921i | 0.899637 | + | 0.578162i | ||||
\(719\) | 0.622614 | + | 0.718534i | 0.0232196 | + | 0.0267968i | 0.767241 | − | 0.641359i | \(-0.221629\pi\) |
−0.744021 | + | 0.668156i | \(0.767084\pi\) | |||||||
\(720\) | −1.77866 | − | 12.3708i | −0.0662866 | − | 0.461033i | ||||
\(721\) | −15.0475 | − | 4.41835i | −0.560398 | − | 0.164548i | ||||
\(722\) | 16.3928 | − | 10.5350i | 0.610078 | − | 0.392073i | ||||
\(723\) | −0.0232340 | + | 0.161596i | −0.000864083 | + | 0.00600983i | ||||
\(724\) | −6.09162 | + | 13.3388i | −0.226393 | + | 0.495732i | ||||
\(725\) | 1.69950 | − | 3.72139i | 0.0631179 | − | 0.138209i | ||||
\(726\) | −0.0227691 | + | 0.158362i | −0.000845039 | + | 0.00587738i | ||||
\(727\) | 18.9497 | − | 12.1783i | 0.702807 | − | 0.451666i | −0.139811 | − | 0.990178i | \(-0.544650\pi\) |
0.842618 | + | 0.538512i | \(0.181013\pi\) | |||||||
\(728\) | 3.53301 | + | 1.03738i | 0.130942 | + | 0.0384480i | ||||
\(729\) | 3.84083 | + | 26.7135i | 0.142253 | + | 0.989391i | ||||
\(730\) | −12.9588 | − | 14.9552i | −0.479625 | − | 0.553517i | ||||
\(731\) | 25.4616 | + | 16.3632i | 0.941733 | + | 0.605215i | ||||
\(732\) | 0.0602527 | − | 0.0695354i | 0.00222701 | − | 0.00257010i | ||||
\(733\) | 14.2302 | − | 4.17837i | 0.525606 | − | 0.154332i | −0.00815598 | − | 0.999967i | \(-0.502596\pi\) |
0.533762 | + | 0.845635i | \(0.320778\pi\) | |||||||
\(734\) | −7.89140 | − | 17.2798i | −0.291277 | − | 0.637807i | ||||
\(735\) | 0.0614720 | 0.00226743 | ||||||||
\(736\) | −0.676980 | − | 4.74781i | −0.0249538 | − | 0.175007i | ||||
\(737\) | 5.23322 | 0.192768 | ||||||||
\(738\) | −4.68138 | − | 10.2508i | −0.172324 | − | 0.377337i | ||||
\(739\) | 8.59412 | − | 2.52346i | 0.316140 | − | 0.0928270i | −0.119813 | − | 0.992796i | \(-0.538230\pi\) |
0.435953 | + | 0.899969i | \(0.356411\pi\) | |||||||
\(740\) | −11.8893 | + | 13.7209i | −0.437058 | + | 0.504391i | ||||
\(741\) | 0.283536 | + | 0.182217i | 0.0104159 | + | 0.00669392i | ||||
\(742\) | 2.04447 | + | 2.35945i | 0.0750550 | + | 0.0866181i | ||||
\(743\) | −3.96119 | − | 27.5507i | −0.145322 | − | 1.01074i | −0.923748 | − | 0.383000i | \(-0.874891\pi\) |
0.778426 | − | 0.627736i | \(-0.216018\pi\) | |||||||
\(744\) | −0.0985846 | − | 0.0289471i | −0.00361429 | − | 0.00106125i | ||||
\(745\) | −35.8885 | + | 23.0642i | −1.31485 | + | 0.845005i | ||||
\(746\) | 1.03809 | − | 7.22008i | 0.0380072 | − | 0.264346i | ||||
\(747\) | −4.97982 | + | 10.9043i | −0.182202 | + | 0.398967i | ||||
\(748\) | −1.25880 | + | 2.75638i | −0.0460262 | + | 0.100783i | ||||
\(749\) | 0.584941 | − | 4.06835i | 0.0213733 | − | 0.148654i | ||||
\(750\) | 0.380518 | − | 0.244544i | 0.0138945 | − | 0.00892948i | ||||
\(751\) | −9.64699 | − | 2.83261i | −0.352024 | − | 0.103364i | 0.100940 | − | 0.994893i | \(-0.467815\pi\) |
−0.452964 | + | 0.891529i | \(0.649633\pi\) | |||||||
\(752\) | 0.599597 | + | 4.17029i | 0.0218651 | + | 0.152075i | ||||
\(753\) | 0.0319540 | + | 0.0368769i | 0.00116447 | + | 0.00134387i | ||||
\(754\) | −1.02545 | − | 0.659016i | −0.0373447 | − | 0.0240000i | ||||
\(755\) | −45.4907 | + | 52.4991i | −1.65558 | + | 1.91064i | ||||
\(756\) | −0.0849381 | + | 0.0249401i | −0.00308917 | + | 0.000907062i | ||||
\(757\) | −8.72838 | − | 19.1125i | −0.317238 | − | 0.694655i | 0.682091 | − | 0.731267i | \(-0.261071\pi\) |
−0.999330 | + | 0.0366121i | \(0.988343\pi\) | |||||||
\(758\) | −12.4441 | −0.451991 | ||||||||
\(759\) | 0.0235313 | + | 0.0151615i | 0.000854131 | + | 0.000550326i | ||||
\(760\) | −25.8467 | −0.937557 | ||||||||
\(761\) | 6.08615 | + | 13.3268i | 0.220623 | + | 0.483097i | 0.987286 | − | 0.158953i | \(-0.0508117\pi\) |
−0.766663 | + | 0.642049i | \(0.778084\pi\) | |||||||
\(762\) | −0.175825 | + | 0.0516269i | −0.00636947 | + | 0.00187024i | ||||
\(763\) | 5.23211 | − | 6.03817i | 0.189415 | − | 0.218597i | ||||
\(764\) | −14.3194 | − | 9.20252i | −0.518058 | − | 0.332935i | ||||
\(765\) | −62.6916 | − | 72.3499i | −2.26662 | − | 2.61582i | ||||
\(766\) | −0.755944 | − | 5.25771i | −0.0273134 | − | 0.189969i | ||||
\(767\) | −17.9174 | − | 5.26102i | −0.646959 | − | 0.189964i | ||||
\(768\) | −0.0124123 | + | 0.00797690i | −0.000447890 | + | 0.000287842i | ||||
\(769\) | −4.35205 | + | 30.2692i | −0.156939 | + | 1.09153i | 0.747293 | + | 0.664494i | \(0.231353\pi\) |
−0.904232 | + | 0.427041i | \(0.859556\pi\) | |||||||
\(770\) | 0.684683 | − | 1.49925i | 0.0246743 | − | 0.0540291i | ||||
\(771\) | −0.122886 | + | 0.269082i | −0.00442562 | + | 0.00969075i | ||||
\(772\) | 0.611320 | − | 4.25183i | 0.0220019 | − | 0.153027i | ||||
\(773\) | −31.8972 | + | 20.4991i | −1.14726 | + | 0.737301i | −0.969092 | − | 0.246698i | \(-0.920654\pi\) |
−0.178171 | + | 0.984000i | \(0.557018\pi\) | |||||||
\(774\) | 11.3729 | + | 3.33940i | 0.408792 | + | 0.120032i | ||||
\(775\) | 12.2475 | + | 85.1831i | 0.439942 | + | 3.05987i | ||||
\(776\) | −7.81691 | − | 9.02119i | −0.280611 | − | 0.323842i | ||||
\(777\) | 0.0540886 | + | 0.0347606i | 0.00194042 | + | 0.00124703i | ||||
\(778\) | −3.22608 | + | 3.72309i | −0.115660 | + | 0.133479i | ||||
\(779\) | −22.3613 | + | 6.56586i | −0.801175 | + | 0.235246i | ||||
\(780\) | −0.0940292 | − | 0.205895i | −0.00336678 | − | 0.00737223i | ||||
\(781\) | 1.05209 | 0.0376467 | ||||||||
\(782\) | −24.0240 | − | 27.7906i | −0.859097 | − | 0.993791i | ||||
\(783\) | 0.0293053 | 0.00104728 | ||||||||
\(784\) | 0.415415 | + | 0.909632i | 0.0148363 | + | 0.0324869i | ||||
\(785\) | −17.6803 | + | 5.19142i | −0.631038 | + | 0.185290i | ||||
\(786\) | 0.217744 | − | 0.251290i | 0.00776667 | − | 0.00896321i | ||||
\(787\) | −19.6267 | − | 12.6133i | −0.699617 | − | 0.449617i | 0.141876 | − | 0.989884i | \(-0.454687\pi\) |
−0.841493 | + | 0.540268i | \(0.818323\pi\) | |||||||
\(788\) | 9.64684 | + | 11.1330i | 0.343654 | + | 0.396598i | ||||
\(789\) | 0.0330042 | + | 0.229549i | 0.00117498 | + | 0.00817216i | ||||
\(790\) | −6.68386 | − | 1.96256i | −0.237801 | − | 0.0698246i | ||||
\(791\) | −13.4422 | + | 8.63880i | −0.477951 | + | 0.307161i | ||||
\(792\) | −0.168887 | + | 1.17463i | −0.00600112 | + | 0.0417387i | ||||
\(793\) | −9.53866 | + | 20.8868i | −0.338728 | + | 0.741710i | ||||
\(794\) | 3.72008 | − | 8.14584i | 0.132021 | − | 0.289085i | ||||
\(795\) | 0.0273124 | − | 0.189962i | 0.000968672 | − | 0.00673726i | ||||
\(796\) | −14.1272 | + | 9.07898i | −0.500724 | + | 0.321796i | ||||
\(797\) | 17.2619 | + | 5.06857i | 0.611450 | + | 0.179538i | 0.572773 | − | 0.819714i | \(-0.305868\pi\) |
0.0386765 | + | 0.999252i | \(0.487686\pi\) | |||||||
\(798\) | 0.0130265 | + | 0.0906014i | 0.000461134 | + | 0.00320725i | ||||
\(799\) | 21.1338 | + | 24.3897i | 0.747658 | + | 0.862844i | ||||
\(800\) | 10.3964 | + | 6.68134i | 0.367567 | + | 0.236221i | ||||
\(801\) | 16.0645 | − | 18.5395i | 0.567612 | − | 0.655060i | ||||
\(802\) | −4.58603 | + | 1.34658i | −0.161938 | + | 0.0475494i | ||||
\(803\) | 0.780548 | + | 1.70916i | 0.0275449 | + | 0.0603150i | ||||
\(804\) | 0.195182 | 0.00688353 | ||||||||
\(805\) | 13.0671 | + | 15.1158i | 0.460555 | + | 0.532763i | ||||
\(806\) | 25.6416 | 0.903186 | ||||||||
\(807\) | 0.0959102 | + | 0.210014i | 0.00337620 | + | 0.00739285i | ||||
\(808\) | 10.3169 | − | 3.02930i | 0.362946 | − | 0.106570i | ||||
\(809\) | 0.805280 | − | 0.929343i | 0.0283121 | − | 0.0326739i | −0.741417 | − | 0.671045i | \(-0.765846\pi\) |
0.769729 | + | 0.638371i | \(0.220391\pi\) | |||||||
\(810\) | −31.5375 | − | 20.2679i | −1.10811 | − | 0.712142i | ||||
\(811\) | −18.8486 | − | 21.7524i | −0.661863 | − | 0.763831i | 0.321217 | − | 0.947006i | \(-0.395908\pi\) |
−0.983080 | + | 0.183175i | \(0.941363\pi\) | |||||||
\(812\) | −0.0471123 | − | 0.327674i | −0.00165332 | − | 0.0114991i | ||||
\(813\) | −0.0378583 | − | 0.0111162i | −0.00132775 | − | 0.000389862i | ||||
\(814\) | 1.45023 | − | 0.932003i | 0.0508304 | − | 0.0326667i | ||||
\(815\) | −4.49974 | + | 31.2964i | −0.157619 | + | 1.09626i | ||||
\(816\) | −0.0469490 | + | 0.102804i | −0.00164354 | + | 0.00359886i | ||||
\(817\) | 10.1830 | − | 22.2977i | 0.356258 | − | 0.780097i | ||||
\(818\) | 4.60781 | − | 32.0480i | 0.161108 | − | 1.12053i | ||||
\(819\) | 9.29222 | − | 5.97175i | 0.324696 | − | 0.208670i | ||||
\(820\) | 15.0174 | + | 4.40952i | 0.524432 | + | 0.153987i | ||||
\(821\) | −0.944653 | − | 6.57021i | −0.0329686 | − | 0.229302i | 0.966675 | − | 0.256008i | \(-0.0824073\pi\) |
−0.999643 | + | 0.0267061i | \(0.991498\pi\) | |||||||
\(822\) | −0.0145997 | − | 0.0168490i | −0.000509223 | − | 0.000587675i | ||||
\(823\) | −7.90771 | − | 5.08198i | −0.275646 | − | 0.177147i | 0.395513 | − | 0.918460i | \(-0.370567\pi\) |
−0.671159 | + | 0.741314i | \(0.734203\pi\) | |||||||
\(824\) | −10.2700 | + | 11.8522i | −0.357773 | + | 0.412892i | ||||
\(825\) | −0.0692113 | + | 0.0203223i | −0.00240963 | + | 0.000707531i | ||||
\(826\) | −2.10674 | − | 4.61313i | −0.0733030 | − | 0.160511i | ||||
\(827\) | −27.0794 | −0.941643 | −0.470821 | − | 0.882229i | \(-0.656042\pi\) | ||||
−0.470821 | + | 0.882229i | \(0.656042\pi\) | |||||||
\(828\) | −12.0936 | − | 7.79202i | −0.420281 | − | 0.270791i | ||||
\(829\) | −19.4994 | −0.677242 | −0.338621 | − | 0.940923i | \(-0.609960\pi\) | ||||
−0.338621 | + | 0.940923i | \(0.609960\pi\) | |||||||
\(830\) | −6.91633 | − | 15.1447i | −0.240069 | − | 0.525679i | ||||
\(831\) | −0.0962368 | + | 0.0282577i | −0.00333842 | + | 0.000980248i | ||||
\(832\) | 2.41130 | − | 2.78279i | 0.0835969 | − | 0.0964759i | ||||
\(833\) | 6.44385 | + | 4.14121i | 0.223266 | + | 0.143484i | ||||
\(834\) | −0.208207 | − | 0.240284i | −0.00720963 | − | 0.00832036i | ||||
\(835\) | −2.38924 | − | 16.6175i | −0.0826830 | − | 0.575073i | ||||
\(836\) | 2.35478 | + | 0.691425i | 0.0814416 | + | 0.0239134i | ||||
\(837\) | −0.518597 | + | 0.333282i | −0.0179253 | + | 0.0115199i | ||||
\(838\) | −0.110797 | + | 0.770609i | −0.00382741 | + | 0.0266202i | ||||
\(839\) | 17.5635 | − | 38.4587i | 0.606359 | − | 1.32774i | −0.318677 | − | 0.947863i | \(-0.603239\pi\) |
0.925036 | − | 0.379878i | \(-0.124034\pi\) | |||||||
\(840\) | 0.0255364 | − | 0.0559169i | 0.000881090 | − | 0.00192932i | ||||
\(841\) | 4.11153 | − | 28.5963i | 0.141777 | − | 0.986081i | ||||
\(842\) | 25.9446 | − | 16.6736i | 0.894110 | − | 0.574609i | ||||
\(843\) | −0.214308 | − | 0.0629264i | −0.00738115 | − | 0.00216730i | ||||
\(844\) | −1.22349 | − | 8.50954i | −0.0421141 | − | 0.292910i | ||||
\(845\) | 1.52327 | + | 1.75795i | 0.0524020 | + | 0.0604752i | ||||
\(846\) | 10.6323 | + | 6.83295i | 0.365545 | + | 0.234922i | ||||
\(847\) | 7.10098 | − | 8.19497i | 0.243993 | − | 0.281583i | ||||
\(848\) | 2.99553 | − | 0.879568i | 0.102867 | − | 0.0302045i | ||||
\(849\) | 0.134756 | + | 0.295075i | 0.00462483 | + | 0.0101270i | ||||
\(850\) | 94.6614 | 3.24686 | ||||||||
\(851\) | 2.95005 | + | 20.6893i | 0.101126 | + | 0.709222i | ||||
\(852\) | 0.0392395 | 0.00134432 | ||||||||
\(853\) | 11.1576 | + | 24.4318i | 0.382030 | + | 0.836528i | 0.998781 | + | 0.0493699i | \(0.0157213\pi\) |
−0.616751 | + | 0.787158i | \(0.711551\pi\) | |||||||
\(854\) | −5.98335 | + | 1.75687i | −0.204746 | + | 0.0601188i | ||||
\(855\) | −50.7742 | + | 58.5966i | −1.73644 | + | 2.00396i | ||||
\(856\) | −3.45771 | − | 2.22214i | −0.118182 | − | 0.0759510i | ||||
\(857\) | 16.5754 | + | 19.1290i | 0.566205 | + | 0.653435i | 0.964581 | − | 0.263787i | \(-0.0849716\pi\) |
−0.398376 | + | 0.917222i | \(0.630426\pi\) | |||||||
\(858\) | 0.00305868 | + | 0.0212736i | 0.000104422 | + | 0.000726268i | ||||
\(859\) | 27.1213 | + | 7.96353i | 0.925367 | + | 0.271712i | 0.709496 | − | 0.704710i | \(-0.248923\pi\) |
0.215871 | + | 0.976422i | \(0.430741\pi\) | |||||||
\(860\) | −13.8491 | + | 8.90025i | −0.472249 | + | 0.303496i | ||||
\(861\) | 0.00788819 | − | 0.0548636i | 0.000268829 | − | 0.00186975i | ||||
\(862\) | 10.1402 | − | 22.2038i | 0.345375 | − | 0.756266i | ||||
\(863\) | −6.82917 | + | 14.9538i | −0.232468 | + | 0.509033i | −0.989533 | − | 0.144306i | \(-0.953905\pi\) |
0.757066 | + | 0.653339i | \(0.226632\pi\) | |||||||
\(864\) | −0.0125983 | + | 0.0876229i | −0.000428602 | + | 0.00298099i | ||||
\(865\) | 48.7024 | − | 31.2991i | 1.65593 | − | 1.06420i | ||||
\(866\) | −24.4520 | − | 7.17976i | −0.830913 | − | 0.243978i | ||||
\(867\) | 0.0875040 | + | 0.608604i | 0.00297179 | + | 0.0206693i | ||||
\(868\) | 4.56027 | + | 5.26284i | 0.154786 | + | 0.178632i | ||||
\(869\) | 0.556436 | + | 0.357600i | 0.0188758 | + | 0.0121307i | ||||
\(870\) | −0.0133263 | + | 0.0153794i | −0.000451805 | + | 0.000521411i | ||||
\(871\) | −46.7367 | + | 13.7231i | −1.58361 | + | 0.464991i | ||||
\(872\) | −3.31902 | − | 7.26764i | −0.112396 | − | 0.246113i | ||||
\(873\) | −35.8076 | −1.21191 | ||||||||
\(874\) | −19.5096 | + | 22.4623i | −0.659924 | + | 0.759800i | ||||
\(875\) | −30.6565 | −1.03638 | ||||||||
\(876\) | 0.0291119 | + | 0.0637461i | 0.000983598 | + | 0.00215378i | ||||
\(877\) | −28.0979 | + | 8.25027i | −0.948797 | + | 0.278592i | −0.719286 | − | 0.694714i | \(-0.755531\pi\) |
−0.229511 | + | 0.973306i | \(0.573713\pi\) | |||||||
\(878\) | −7.00979 | + | 8.08973i | −0.236569 | + | 0.273015i | ||||
\(879\) | −0.0267484 | − | 0.0171902i | −0.000902202 | − | 0.000579810i | ||||
\(880\) | −1.07934 | − | 1.24562i | −0.0363844 | − | 0.0419898i | ||||
\(881\) | −3.56857 | − | 24.8199i | −0.120228 | − | 0.836204i | −0.957297 | − | 0.289107i | \(-0.906642\pi\) |
0.837069 | − | 0.547098i | \(-0.184267\pi\) | |||||||
\(882\) | 2.87827 | + | 0.845136i | 0.0969164 | + | 0.0284572i | ||||
\(883\) | 32.1058 | − | 20.6331i | 1.08045 | − | 0.694360i | 0.125785 | − | 0.992058i | \(-0.459855\pi\) |
0.954660 | + | 0.297698i | \(0.0962187\pi\) | |||||||
\(884\) | 4.01394 | − | 27.9176i | 0.135004 | − | 0.938970i | ||||
\(885\) | −0.129506 | + | 0.283578i | −0.00435329 | + | 0.00953238i | ||||
\(886\) | −4.68990 | + | 10.2695i | −0.157560 | + | 0.345009i | ||||
\(887\) | 1.95447 | − | 13.5936i | 0.0656246 | − | 0.456429i | −0.930341 | − | 0.366695i | \(-0.880489\pi\) |
0.995966 | − | 0.0897339i | \(-0.0286016\pi\) | |||||||
\(888\) | 0.0540886 | − | 0.0347606i | 0.00181509 | − | 0.00116649i | ||||
\(889\) | 11.9167 | + | 3.49905i | 0.399672 | + | 0.117354i | ||||
\(890\) | 4.84877 | + | 33.7239i | 0.162531 | + | 1.13043i | ||||
\(891\) | 2.33105 | + | 2.69018i | 0.0780932 | + | 0.0901244i | ||||
\(892\) | 20.7309 | + | 13.3229i | 0.694121 | + | 0.446084i | ||||
\(893\) | 17.1163 | − | 19.7533i | 0.572776 | − | 0.661019i | ||||
\(894\) | 0.144959 | − | 0.0425637i | 0.00484814 | − | 0.00142354i | ||||
\(895\) | 14.1937 | + | 31.0799i | 0.474443 | + | 1.03889i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | −0.249911 | − | 0.0736972i | −0.00834428 | − | 0.00246068i | ||||
\(898\) | −25.7186 | −0.858240 | ||||||||
\(899\) | −0.957654 | − | 2.09697i | −0.0319395 | − | 0.0699379i | ||||
\(900\) | 35.5702 | − | 10.4443i | 1.18567 | − | 0.348145i | ||||
\(901\) | 15.6603 | − | 18.0729i | 0.521720 | − | 0.602097i | ||||
\(902\) | −1.25021 | − | 0.803463i | −0.0416275 | − | 0.0267524i | ||||
\(903\) | 0.0381782 | + | 0.0440600i | 0.00127049 | + | 0.00146623i | ||||
\(904\) | 2.27402 | + | 15.8162i | 0.0756329 | + | 0.526038i | ||||
\(905\) | −58.6199 | − | 17.2123i | −1.94859 | − | 0.572158i | ||||
\(906\) | 0.206954 | − | 0.133001i | 0.00687560 | − | 0.00441868i | ||||
\(907\) | 6.65031 | − | 46.2540i | 0.220820 | − | 1.53584i | −0.514128 | − | 0.857714i | \(-0.671884\pi\) |
0.734948 | − | 0.678124i | \(-0.237207\pi\) | |||||||
\(908\) | 5.39391 | − | 11.8110i | 0.179003 | − | 0.391963i | ||||
\(909\) | 13.3992 | − | 29.3401i | 0.444422 | − | 0.973148i | ||||
\(910\) | −2.18326 | + | 15.1849i | −0.0723743 | + | 0.503374i | ||||
\(911\) | 22.9361 | − | 14.7401i | 0.759907 | − | 0.488363i | −0.102403 | − | 0.994743i | \(-0.532653\pi\) |
0.862310 | + | 0.506380i | \(0.169017\pi\) | |||||||
\(912\) | 0.0878253 | + | 0.0257878i | 0.00290819 | + | 0.000853921i | ||||
\(913\) | 0.224982 | + | 1.56478i | 0.00744580 | + | 0.0517867i | ||||
\(914\) | 6.55568 | + | 7.56566i | 0.216843 | + | 0.250250i | ||||
\(915\) | 0.322483 | + | 0.207247i | 0.0106610 | + | 0.00685138i | ||||
\(916\) | 18.8436 | − | 21.7467i | 0.622610 | − | 0.718530i | ||||
\(917\) | −21.6229 | + | 6.34905i | −0.714050 | + | 0.209664i | ||||
\(918\) | 0.281684 | + | 0.616801i | 0.00929694 | + | 0.0203575i | ||||
\(919\) | 45.7818 | 1.51020 | 0.755102 | − | 0.655608i | \(-0.227588\pi\) | ||||
0.755102 | + | 0.655608i | \(0.227588\pi\) | |||||||
\(920\) | 19.1781 | − | 5.60691i | 0.632284 | − | 0.184854i | ||||
\(921\) | 0.118962 | 0.00391992 | ||||||||
\(922\) | 3.24500 | + | 7.10556i | 0.106868 | + | 0.234009i | ||||
\(923\) | −9.39598 | + | 2.75891i | −0.309272 | + | 0.0908106i | ||||
\(924\) | −0.00382234 | + | 0.00441122i | −0.000125746 | + | 0.000145118i | ||||
\(925\) | −45.3038 | − | 29.1150i | −1.48958 | − | 0.957295i | ||||
\(926\) | 24.9187 | + | 28.7577i | 0.818878 | + | 0.945035i | ||||
\(927\) | 6.69518 | + | 46.5660i | 0.219899 | + | 1.52943i | ||||
\(928\) | −0.317634 | − | 0.0932656i | −0.0104268 | − | 0.00306159i | ||||
\(929\) | 1.21847 | − | 0.783064i | 0.0399767 | − | 0.0256915i | −0.520500 | − | 0.853862i | \(-0.674254\pi\) |
0.560477 | + | 0.828170i | \(0.310618\pi\) | |||||||
\(930\) | 0.0609214 | − | 0.423717i | 0.00199769 | − | 0.0138942i | ||||
\(931\) | 2.57712 | − | 5.64311i | 0.0844617 | − | 0.184945i | ||||
\(932\) | −0.820195 | + | 1.79598i | −0.0268664 | + | 0.0588292i | ||||
\(933\) | −0.0282098 | + | 0.196203i | −0.000923546 | + | 0.00642341i | ||||
\(934\) | −12.2716 | + | 7.88647i | −0.401539 | + | 0.258053i | ||||
\(935\) | −12.1134 | − | 3.55683i | −0.396152 | − | 0.116321i | ||||
\(936\) | −1.57196 | − | 10.9333i | −0.0513813 | − | 0.357365i | ||||
\(937\) | −4.07246 | − | 4.69987i | −0.133042 | − | 0.153538i | 0.685320 | − | 0.728242i | \(-0.259663\pi\) |
−0.818361 | + | 0.574704i | \(0.805117\pi\) | |||||||
\(938\) | −11.1286 | − | 7.15192i | −0.363362 | − | 0.233518i | ||||
\(939\) | 0.196595 | − | 0.226883i | 0.00641565 | − | 0.00740405i | ||||
\(940\) | −16.8424 | + | 4.94537i | −0.549338 | + | 0.161300i | ||||
\(941\) | 22.2106 | + | 48.6345i | 0.724045 | + | 1.58544i | 0.808147 | + | 0.588981i | \(0.200471\pi\) |
−0.0841017 | + | 0.996457i | \(0.526802\pi\) | |||||||
\(942\) | 0.0652563 | 0.00212616 | ||||||||
\(943\) | 15.1676 | − | 9.72266i | 0.493926 | − | 0.316613i | ||||
\(944\) | −5.07142 | −0.165061 | ||||||||
\(945\) | −0.153213 | − | 0.335489i | −0.00498401 | − | 0.0109135i | ||||
\(946\) | 1.49982 | − | 0.440386i | 0.0487633 | − | 0.0143182i | ||||
\(947\) | 26.9009 | − | 31.0453i | 0.874162 | − | 1.00884i | −0.125697 | − | 0.992069i | \(-0.540117\pi\) |
0.999859 | − | 0.0167684i | \(-0.00533780\pi\) | |||||||
\(948\) | 0.0207532 | + | 0.0133373i | 0.000674033 | + | 0.000433175i | ||||
\(949\) | −11.4529 | − | 13.2173i | −0.371776 | − | 0.429052i | ||||
\(950\) | −10.9108 | − | 75.8864i | −0.353994 | − | 2.46208i | ||||
\(951\) | 0.0592276 | + | 0.0173908i | 0.00192059 | + | 0.000563935i | ||||
\(952\) | 6.44385 | − | 4.14121i | 0.208846 | − | 0.134217i | ||||
\(953\) | −6.55745 | + | 45.6080i | −0.212416 | + | 1.47739i | 0.552637 | + | 0.833422i | \(0.313622\pi\) |
−0.765053 | + | 0.643967i | \(0.777287\pi\) | |||||||
\(954\) | 3.89049 | − | 8.51899i | 0.125959 | − | 0.275812i | ||||
\(955\) | 29.4600 | − | 64.5083i | 0.953302 | − | 2.08744i | ||||
\(956\) | −1.76177 | + | 12.2534i | −0.0569797 | + | 0.396303i | ||||
\(957\) | 0.00162552 | − | 0.00104466i | 5.25456e−5 | − | 3.37690e-5i | ||||
\(958\) | −16.2399 | − | 4.76848i | −0.524689 | − | 0.154063i | ||||
\(959\) | 0.215040 | + | 1.49564i | 0.00694401 | + | 0.0482967i | ||||
\(960\) | −0.0402556 | − | 0.0464575i | −0.00129924 | − | 0.00149941i | ||||
\(961\) | 14.7165 | + | 9.45772i | 0.474726 | + | 0.305088i | ||||
\(962\) | −10.5076 | + | 12.1265i | −0.338780 | + | 0.390973i | ||||
\(963\) | −11.8302 | + | 3.47367i | −0.381224 | + | 0.111937i | ||||
\(964\) | −4.59654 | − | 10.0650i | −0.148045 | − | 0.324173i | ||||
\(965\) | 17.8966 | 0.576112 | ||||||||
\(966\) | −0.0293198 | − | 0.0644000i | −0.000943348 | − | 0.00207204i | ||||
\(967\) | −25.6216 | −0.823934 | −0.411967 | − | 0.911199i | \(-0.635158\pi\) | ||||
−0.411967 | + | 0.911199i | \(0.635158\pi\) | |||||||
\(968\) | −4.50455 | − | 9.86360i | −0.144782 | − | 0.317028i | ||||
\(969\) | 0.672726 | − | 0.197530i | 0.0216111 | − | 0.00634558i | ||||
\(970\) | 32.5677 | − | 37.5851i | 1.04569 | − | 1.20679i | ||||
\(971\) | −11.5661 | − | 7.43307i | −0.371173 | − | 0.238539i | 0.341734 | − | 0.939797i | \(-0.388986\pi\) |
−0.712908 | + | 0.701258i | \(0.752622\pi\) | |||||||
\(972\) | 0.260853 | + | 0.301041i | 0.00836687 | + | 0.00965588i | ||||
\(973\) | 3.06670 | + | 21.3294i | 0.0983140 | + | 0.683789i | ||||
\(974\) | −16.1278 | − | 4.73554i | −0.516767 | − | 0.151736i | ||||
\(975\) | 0.564819 | − | 0.362987i | 0.0180887 | − | 0.0116249i | ||||
\(976\) | −0.887468 | + | 6.17247i | −0.0284071 | + | 0.197576i | ||||
\(977\) | 15.7472 | − | 34.4815i | 0.503796 | − | 1.10316i | −0.471421 | − | 0.881908i | \(-0.656259\pi\) |
0.975217 | − | 0.221251i | \(-0.0710141\pi\) | |||||||
\(978\) | 0.0465150 | − | 0.101854i | 0.00148738 | − | 0.00325692i | ||||
\(979\) | 0.460400 | − | 3.20215i | 0.0147144 | − | 0.102341i | ||||
\(980\) | −3.50493 | + | 2.25248i | −0.111961 | + | 0.0719528i | ||||
\(981\) | −22.9964 | − | 6.75234i | −0.734217 | − | 0.215586i | ||||
\(982\) | 3.40692 | + | 23.6957i | 0.108719 | + | 0.756159i | ||||
\(983\) | −24.6182 | − | 28.4109i | −0.785198 | − | 0.906167i | 0.212275 | − | 0.977210i | \(-0.431913\pi\) |
−0.997473 | + | 0.0710433i | \(0.977367\pi\) | |||||||
\(984\) | −0.0466288 | − | 0.0299665i | −0.00148647 | − | 0.000955297i | ||||
\(985\) | −40.1918 | + | 46.3838i | −1.28062 | + | 1.47791i | ||||
\(986\) | −2.43301 | + | 0.714397i | −0.0774830 | + | 0.0227510i | ||||
\(987\) | 0.0258236 | + | 0.0565458i | 0.000821975 | + | 0.00179987i | ||||
\(988\) | −22.8431 | −0.726736 | ||||||||
\(989\) | −2.71872 | + | 18.7538i | −0.0864503 | + | 0.596336i | ||||
\(990\) | −4.94421 | −0.157137 | ||||||||
\(991\) | −15.7288 | − | 34.4414i | −0.499643 | − | 1.09407i | −0.976585 | − | 0.215131i | \(-0.930982\pi\) |
0.476942 | − | 0.878935i | \(-0.341745\pi\) | |||||||
\(992\) | 6.68165 | − | 1.96191i | 0.212143 | − | 0.0622907i | ||||
\(993\) | 0.238474 | − | 0.275213i | 0.00756773 | − | 0.00873363i | ||||
\(994\) | −2.23730 | − | 1.43783i | −0.0709629 | − | 0.0456051i | ||||
\(995\) | −45.8173 | − | 52.8759i | −1.45250 | − | 1.67628i | ||||
\(996\) | 0.00839107 | + | 0.0583611i | 0.000265881 | + | 0.00184924i | ||||
\(997\) | 20.8133 | + | 6.11135i | 0.659165 | + | 0.193548i | 0.594173 | − | 0.804337i | \(-0.297480\pi\) |
0.0649924 | + | 0.997886i | \(0.479298\pi\) | |||||||
\(998\) | 10.7594 | − | 6.91467i | 0.340584 | − | 0.218880i | ||||
\(999\) | 0.0548990 | − | 0.381831i | 0.00173693 | − | 0.0120806i |
(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 | 322.2.i.c.211.1 | yes | 20 | |
23.6 | even | 11 | inner | 322.2.i.c.29.1 | ✓ | 20 | |
23.11 | odd | 22 | 7406.2.a.bo.1.7 | 10 | |||
23.12 | even | 11 | 7406.2.a.bp.1.7 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.c.29.1 | ✓ | 20 | 23.6 | even | 11 | inner | |
322.2.i.c.211.1 | yes | 20 | 1.1 | even | 1 | trivial | |
7406.2.a.bo.1.7 | 10 | 23.11 | odd | 22 | |||
7406.2.a.bp.1.7 | 10 | 23.12 | even | 11 |