Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(3,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([45, 10, 48]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.bv (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 3.8 | ||
Character | \(\chi\) | \(=\) | 770.3 |
Dual form | 770.2.bv.a.257.8 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.933580 | + | 0.358368i | −0.660141 | + | 0.253404i | ||||
\(3\) | −1.35519 | + | 0.880069i | −0.782418 | + | 0.508108i | −0.872964 | − | 0.487784i | \(-0.837805\pi\) |
0.0905463 | + | 0.995892i | \(0.471139\pi\) | |||||||
\(4\) | 0.743145 | − | 0.669131i | 0.371572 | − | 0.334565i | ||||
\(5\) | −1.14900 | − | 1.91828i | −0.513846 | − | 0.857882i | ||||
\(6\) | 0.949788 | − | 1.30727i | 0.387749 | − | 0.533691i | ||||
\(7\) | 1.70475 | + | 2.02332i | 0.644336 | + | 0.764742i | ||||
\(8\) | −0.453990 | + | 0.891007i | −0.160510 | + | 0.315018i | ||||
\(9\) | −0.158198 | + | 0.355318i | −0.0527326 | + | 0.118439i | ||||
\(10\) | 1.76013 | + | 1.37911i | 0.556602 | + | 0.436112i | ||||
\(11\) | −1.96617 | − | 2.67099i | −0.592821 | − | 0.805334i | ||||
\(12\) | −0.418220 | + | 1.56082i | −0.120730 | + | 0.450569i | ||||
\(13\) | 0.324475 | − | 2.04865i | 0.0899932 | − | 0.568194i | −0.900951 | − | 0.433921i | \(-0.857130\pi\) |
0.990944 | − | 0.134274i | \(-0.0428702\pi\) | |||||||
\(14\) | −2.31662 | − | 1.27800i | −0.619142 | − | 0.341560i | ||||
\(15\) | 3.24533 | + | 1.58844i | 0.837940 | + | 0.410133i | ||||
\(16\) | 0.104528 | − | 0.994522i | 0.0261321 | − | 0.248630i | ||||
\(17\) | 6.23017 | + | 2.39154i | 1.51104 | + | 0.580033i | 0.966038 | − | 0.258402i | \(-0.0831959\pi\) |
0.545001 | + | 0.838435i | \(0.316529\pi\) | |||||||
\(18\) | 0.0203558 | − | 0.388411i | 0.00479790 | − | 0.0915493i | ||||
\(19\) | −4.16129 | + | 4.62158i | −0.954665 | + | 1.06026i | 0.0434603 | + | 0.999055i | \(0.486162\pi\) |
−0.998125 | + | 0.0612075i | \(0.980505\pi\) | |||||||
\(20\) | −2.13745 | − | 0.656734i | −0.477949 | − | 0.146850i | ||||
\(21\) | −4.09092 | − | 1.24168i | −0.892712 | − | 0.270956i | ||||
\(22\) | 2.79277 | + | 1.78897i | 0.595421 | + | 0.381411i | ||||
\(23\) | 0.600743 | − | 2.24200i | 0.125264 | − | 0.467490i | −0.874585 | − | 0.484872i | \(-0.838866\pi\) |
0.999849 | + | 0.0173814i | \(0.00553296\pi\) | |||||||
\(24\) | −0.168905 | − | 1.60702i | −0.0344776 | − | 0.328032i | ||||
\(25\) | −2.35962 | + | 4.40820i | −0.471924 | + | 0.881639i | ||||
\(26\) | 0.431249 | + | 2.02886i | 0.0845748 | + | 0.397893i | ||||
\(27\) | −0.856653 | − | 5.40869i | −0.164863 | − | 1.04090i | ||||
\(28\) | 2.62074 | + | 0.362916i | 0.495274 | + | 0.0685847i | ||||
\(29\) | 2.16520 | + | 0.703515i | 0.402067 | + | 0.130639i | 0.503068 | − | 0.864247i | \(-0.332205\pi\) |
−0.101001 | + | 0.994886i | \(0.532205\pi\) | |||||||
\(30\) | −3.59902 | − | 0.319913i | −0.657088 | − | 0.0584079i | ||||
\(31\) | −9.73982 | + | 1.02370i | −1.74932 | + | 0.183861i | −0.924411 | − | 0.381398i | \(-0.875443\pi\) |
−0.824913 | + | 0.565260i | \(0.808776\pi\) | |||||||
\(32\) | 0.258819 | + | 0.965926i | 0.0457532 | + | 0.170753i | ||||
\(33\) | 5.01518 | + | 1.88933i | 0.873031 | + | 0.328891i | ||||
\(34\) | −6.67342 | −1.14448 | ||||||||
\(35\) | 1.92254 | − | 5.59498i | 0.324969 | − | 0.945725i | ||||
\(36\) | 0.120190 | + | 0.369908i | 0.0200317 | + | 0.0616513i | ||||
\(37\) | −3.75683 | + | 5.78500i | −0.617618 | + | 0.951049i | 0.382020 | + | 0.924154i | \(0.375229\pi\) |
−0.999638 | + | 0.0268948i | \(0.991438\pi\) | |||||||
\(38\) | 2.22867 | − | 5.80589i | 0.361538 | − | 0.941839i | ||||
\(39\) | 1.36323 | + | 3.06187i | 0.218292 | + | 0.490292i | ||||
\(40\) | 2.23084 | − | 0.152880i | 0.352726 | − | 0.0241725i | ||||
\(41\) | −0.876606 | + | 0.284826i | −0.136903 | + | 0.0444824i | −0.376667 | − | 0.926349i | \(-0.622930\pi\) |
0.239764 | + | 0.970831i | \(0.422930\pi\) | |||||||
\(42\) | 4.26418 | − | 0.306851i | 0.657977 | − | 0.0473482i | ||||
\(43\) | −3.81577 | − | 3.81577i | −0.581899 | − | 0.581899i | 0.353525 | − | 0.935425i | \(-0.384983\pi\) |
−0.935425 | + | 0.353525i | \(0.884983\pi\) | |||||||
\(44\) | −3.24839 | − | 0.669312i | −0.489713 | − | 0.100903i | ||||
\(45\) | 0.863369 | − | 0.104791i | 0.128703 | − | 0.0156213i | ||||
\(46\) | 0.242620 | + | 2.30838i | 0.0357724 | + | 0.340352i | ||||
\(47\) | −5.45416 | + | 0.285841i | −0.795571 | + | 0.0416941i | −0.445790 | − | 0.895137i | \(-0.647077\pi\) |
−0.349781 | + | 0.936832i | \(0.613744\pi\) | |||||||
\(48\) | 0.733592 | + | 1.43976i | 0.105885 | + | 0.207811i | ||||
\(49\) | −1.18763 | + | 6.89852i | −0.169662 | + | 0.985502i | ||||
\(50\) | 0.623137 | − | 4.96102i | 0.0881249 | − | 0.701594i | ||||
\(51\) | −10.5478 | + | 2.24200i | −1.47698 | + | 0.313943i | ||||
\(52\) | −1.12969 | − | 1.73956i | −0.156659 | − | 0.241234i | ||||
\(53\) | 1.39419 | − | 1.72168i | 0.191507 | − | 0.236491i | −0.672344 | − | 0.740239i | \(-0.734713\pi\) |
0.863851 | + | 0.503748i | \(0.168046\pi\) | |||||||
\(54\) | 2.73806 | + | 4.74245i | 0.372602 | + | 0.645366i | ||||
\(55\) | −2.86460 | + | 6.84062i | −0.386263 | + | 0.922389i | ||||
\(56\) | −2.57673 | + | 0.600379i | −0.344330 | + | 0.0802290i | ||||
\(57\) | 1.57202 | − | 9.92533i | 0.208219 | − | 1.31464i | ||||
\(58\) | −2.27350 | + | 0.119149i | −0.298526 | + | 0.0156451i | ||||
\(59\) | −6.73738 | − | 7.48262i | −0.877132 | − | 0.974154i | 0.122701 | − | 0.992444i | \(-0.460844\pi\) |
−0.999833 | + | 0.0182899i | \(0.994178\pi\) | |||||||
\(60\) | 3.47462 | − | 0.991108i | 0.448572 | − | 0.127951i | ||||
\(61\) | −14.4895 | − | 1.52291i | −1.85519 | − | 0.194988i | −0.889897 | − | 0.456162i | \(-0.849224\pi\) |
−0.965292 | + | 0.261174i | \(0.915890\pi\) | |||||||
\(62\) | 8.72605 | − | 4.44614i | 1.10821 | − | 0.564661i | ||||
\(63\) | −0.988609 | + | 0.285645i | −0.124553 | + | 0.0359879i | ||||
\(64\) | −0.587785 | − | 0.809017i | −0.0734732 | − | 0.101127i | ||||
\(65\) | −4.30272 | + | 1.73146i | −0.533687 | + | 0.214761i | ||||
\(66\) | −5.35915 | + | 0.0334354i | −0.659666 | + | 0.00411562i | ||||
\(67\) | −0.519461 | − | 1.93865i | −0.0634623 | − | 0.236844i | 0.926908 | − | 0.375289i | \(-0.122456\pi\) |
−0.990370 | + | 0.138444i | \(0.955790\pi\) | |||||||
\(68\) | 6.23017 | − | 2.39154i | 0.755519 | − | 0.290017i | ||||
\(69\) | 1.15900 | + | 3.56703i | 0.139527 | + | 0.429420i | ||||
\(70\) | 0.210214 | + | 5.91234i | 0.0251254 | + | 0.706660i | ||||
\(71\) | 0.480899 | + | 0.349394i | 0.0570722 | + | 0.0414654i | 0.615956 | − | 0.787781i | \(-0.288770\pi\) |
−0.558883 | + | 0.829246i | \(0.688770\pi\) | |||||||
\(72\) | −0.244770 | − | 0.302266i | −0.0288465 | − | 0.0356224i | ||||
\(73\) | −0.866575 | − | 0.0454153i | −0.101425 | − | 0.00531545i | 0.00155598 | − | 0.999999i | \(-0.499505\pi\) |
−0.102981 | + | 0.994683i | \(0.532838\pi\) | |||||||
\(74\) | 1.43414 | − | 6.74709i | 0.166715 | − | 0.784334i | ||||
\(75\) | −0.681793 | − | 8.05056i | −0.0787267 | − | 0.929599i | ||||
\(76\) | 6.21895i | 0.713362i | ||||||||
\(77\) | 2.05244 | − | 8.53156i | 0.233897 | − | 0.972261i | ||||
\(78\) | −2.36996 | − | 2.36996i | −0.268346 | − | 0.268346i | ||||
\(79\) | 1.84363 | − | 4.14085i | 0.207424 | − | 0.465882i | −0.779636 | − | 0.626233i | \(-0.784596\pi\) |
0.987060 | + | 0.160351i | \(0.0512625\pi\) | |||||||
\(80\) | −2.02788 | + | 0.942186i | −0.226724 | + | 0.105340i | ||||
\(81\) | 5.14019 | + | 5.70876i | 0.571132 | + | 0.634306i | ||||
\(82\) | 0.716309 | − | 0.580056i | 0.0791031 | − | 0.0640564i | ||||
\(83\) | −14.7089 | + | 2.32966i | −1.61451 | + | 0.255713i | −0.897391 | − | 0.441236i | \(-0.854540\pi\) |
−0.717120 | + | 0.696950i | \(0.754540\pi\) | |||||||
\(84\) | −3.87099 | + | 1.81462i | −0.422360 | + | 0.197991i | ||||
\(85\) | −2.57079 | − | 14.6991i | −0.278842 | − | 1.59434i | ||||
\(86\) | 4.92978 | + | 2.19488i | 0.531592 | + | 0.236680i | ||||
\(87\) | −3.55339 | + | 0.952128i | −0.380964 | + | 0.102079i | ||||
\(88\) | 3.27249 | − | 0.539261i | 0.348849 | − | 0.0574855i | ||||
\(89\) | −5.20324 | − | 9.01227i | −0.551542 | − | 0.955299i | −0.998164 | − | 0.0605759i | \(-0.980706\pi\) |
0.446622 | − | 0.894723i | \(-0.352627\pi\) | |||||||
\(90\) | −0.768471 | + | 0.407234i | −0.0810039 | + | 0.0429263i | ||||
\(91\) | 4.69823 | − | 2.83593i | 0.492508 | − | 0.297287i | ||||
\(92\) | −1.05375 | − | 2.06811i | −0.109862 | − | 0.215615i | ||||
\(93\) | 12.2984 | − | 9.95902i | 1.27528 | − | 1.03270i | ||||
\(94\) | 4.98946 | − | 2.22145i | 0.514624 | − | 0.229125i | ||||
\(95\) | 13.6468 | + | 2.67235i | 1.40013 | + | 0.274178i | ||||
\(96\) | −1.20083 | − | 1.08123i | −0.122559 | − | 0.110353i | ||||
\(97\) | −4.57366 | − | 0.724397i | −0.464385 | − | 0.0735513i | −0.0801421 | − | 0.996783i | \(-0.525537\pi\) |
−0.384243 | + | 0.923232i | \(0.625537\pi\) | |||||||
\(98\) | −1.36346 | − | 6.86593i | −0.137730 | − | 0.693564i | ||||
\(99\) | 1.26009 | − | 0.276069i | 0.126644 | − | 0.0277460i | ||||
\(100\) | 1.19612 | + | 4.85482i | 0.119612 | + | 0.485482i | ||||
\(101\) | 9.14087 | − | 0.960745i | 0.909551 | − | 0.0955977i | 0.361816 | − | 0.932250i | \(-0.382157\pi\) |
0.547735 | + | 0.836652i | \(0.315490\pi\) | |||||||
\(102\) | 9.04373 | − | 5.87307i | 0.895463 | − | 0.581521i | ||||
\(103\) | −4.68728 | + | 7.21778i | −0.461852 | + | 0.711189i | −0.990479 | − | 0.137665i | \(-0.956040\pi\) |
0.528627 | + | 0.848854i | \(0.322707\pi\) | |||||||
\(104\) | 1.67806 | + | 1.21918i | 0.164547 | + | 0.119550i | ||||
\(105\) | 2.31857 | + | 9.27422i | 0.226269 | + | 0.905072i | ||||
\(106\) | −0.684592 | + | 2.10696i | −0.0664935 | + | 0.204646i | ||||
\(107\) | 0.718231 | + | 13.7047i | 0.0694340 | + | 1.32488i | 0.782002 | + | 0.623276i | \(0.214199\pi\) |
−0.712568 | + | 0.701603i | \(0.752468\pi\) | |||||||
\(108\) | −4.25574 | − | 3.44623i | −0.409509 | − | 0.331614i | ||||
\(109\) | 0.570002 | + | 0.329091i | 0.0545963 | + | 0.0315212i | 0.527050 | − | 0.849834i | \(-0.323298\pi\) |
−0.472453 | + | 0.881356i | \(0.656632\pi\) | |||||||
\(110\) | 0.222878 | − | 7.41285i | 0.0212505 | − | 0.706787i | ||||
\(111\) | − | 11.1460i | − | 1.05793i | ||||||
\(112\) | 2.19043 | − | 1.48392i | 0.206976 | − | 0.140217i | ||||
\(113\) | −2.00417 | + | 3.93340i | −0.188536 | + | 0.370024i | −0.965855 | − | 0.259084i | \(-0.916579\pi\) |
0.777318 | + | 0.629107i | \(0.216579\pi\) | |||||||
\(114\) | 2.08931 | + | 9.82945i | 0.195682 | + | 0.920613i | ||||
\(115\) | −4.99105 | + | 1.42366i | −0.465418 | + | 0.132757i | ||||
\(116\) | 2.07980 | − | 0.925986i | 0.193104 | − | 0.0859756i | ||||
\(117\) | 0.676592 | + | 0.439384i | 0.0625510 | + | 0.0406211i | ||||
\(118\) | 8.97142 | + | 4.57116i | 0.825886 | + | 0.420810i | ||||
\(119\) | 5.78206 | + | 16.6826i | 0.530041 | + | 1.52929i | ||||
\(120\) | −2.88866 | + | 2.17047i | −0.263697 | + | 0.198136i | ||||
\(121\) | −3.26839 | + | 10.5032i | −0.297126 | + | 0.954838i | ||||
\(122\) | 14.0729 | − | 3.77081i | 1.27410 | − | 0.341393i | ||||
\(123\) | 0.937298 | − | 1.15747i | 0.0845133 | − | 0.104365i | ||||
\(124\) | −6.55311 | + | 7.27797i | −0.588487 | + | 0.653581i | ||||
\(125\) | 11.1674 | − | 0.538584i | 0.998839 | − | 0.0481724i | ||||
\(126\) | 0.820580 | − | 0.620959i | 0.0731031 | − | 0.0553194i | ||||
\(127\) | 21.4381 | − | 3.39546i | 1.90232 | − | 0.301299i | 0.909014 | − | 0.416767i | \(-0.136837\pi\) |
0.993311 | + | 0.115468i | \(0.0368367\pi\) | |||||||
\(128\) | 0.838671 | + | 0.544639i | 0.0741287 | + | 0.0481397i | ||||
\(129\) | 8.52923 | + | 1.81294i | 0.750957 | + | 0.159621i | ||||
\(130\) | 3.39643 | − | 3.15841i | 0.297887 | − | 0.277011i | ||||
\(131\) | −19.4359 | + | 11.2213i | −1.69812 | + | 0.980409i | −0.750573 | + | 0.660788i | \(0.770222\pi\) |
−0.947545 | + | 0.319621i | \(0.896444\pi\) | |||||||
\(132\) | 4.99122 | − | 1.95176i | 0.434430 | − | 0.169879i | ||||
\(133\) | −16.4449 | − | 0.540959i | −1.42595 | − | 0.0469071i | ||||
\(134\) | 1.17971 | + | 1.62373i | 0.101911 | + | 0.140269i | ||||
\(135\) | −9.39111 | + | 7.85787i | −0.808258 | + | 0.676298i | ||||
\(136\) | −4.95932 | + | 4.46539i | −0.425258 | + | 0.382904i | ||||
\(137\) | −3.65731 | + | 9.52762i | −0.312465 | + | 0.814000i | 0.683960 | + | 0.729519i | \(0.260256\pi\) |
−0.996425 | + | 0.0844800i | \(0.973077\pi\) | |||||||
\(138\) | −2.36033 | − | 2.91476i | −0.200925 | − | 0.248121i | ||||
\(139\) | −0.884426 | + | 2.72198i | −0.0750160 | + | 0.230876i | −0.981533 | − | 0.191294i | \(-0.938731\pi\) |
0.906517 | + | 0.422170i | \(0.138731\pi\) | |||||||
\(140\) | −2.31505 | − | 5.44431i | −0.195657 | − | 0.460129i | ||||
\(141\) | 7.13986 | − | 5.18741i | 0.601284 | − | 0.436859i | ||||
\(142\) | −0.574170 | − | 0.153848i | −0.0481832 | − | 0.0129107i | ||||
\(143\) | −6.10991 | + | 3.16132i | −0.510936 | + | 0.264363i | ||||
\(144\) | 0.336835 | + | 0.194472i | 0.0280696 | + | 0.0162060i | ||||
\(145\) | −1.13826 | − | 4.96180i | −0.0945274 | − | 0.412055i | ||||
\(146\) | 0.825293 | − | 0.268154i | 0.0683017 | − | 0.0221926i | ||||
\(147\) | −4.46171 | − | 10.3940i | −0.367995 | − | 0.857281i | ||||
\(148\) | 1.07906 | + | 6.81290i | 0.0886980 | + | 0.560017i | ||||
\(149\) | −4.21365 | − | 0.442872i | −0.345196 | − | 0.0362815i | −0.0696556 | − | 0.997571i | \(-0.522190\pi\) |
−0.275540 | + | 0.961290i | \(0.588857\pi\) | |||||||
\(150\) | 3.52157 | + | 7.27152i | 0.287535 | + | 0.593717i | ||||
\(151\) | −10.6701 | − | 2.26799i | −0.868318 | − | 0.184567i | −0.247850 | − | 0.968798i | \(-0.579724\pi\) |
−0.620468 | + | 0.784232i | \(0.713057\pi\) | |||||||
\(152\) | −2.22867 | − | 5.80589i | −0.180769 | − | 0.470920i | ||||
\(153\) | −1.83536 | + | 1.83536i | −0.148380 | + | 0.148380i | ||||
\(154\) | 1.14132 | + | 8.70042i | 0.0919702 | + | 0.701100i | ||||
\(155\) | 13.1548 | + | 17.5075i | 1.05662 | + | 1.40624i | ||||
\(156\) | 3.06187 | + | 1.36323i | 0.245146 | + | 0.109146i | ||||
\(157\) | 4.71046 | + | 7.25347i | 0.375936 | + | 0.578890i | 0.975108 | − | 0.221730i | \(-0.0711703\pi\) |
−0.599173 | + | 0.800620i | \(0.704504\pi\) | |||||||
\(158\) | −0.237225 | + | 4.52652i | −0.0188726 | + | 0.360110i | ||||
\(159\) | −0.374190 | + | 3.56018i | −0.0296752 | + | 0.282341i | ||||
\(160\) | 1.55554 | − | 1.60633i | 0.122976 | − | 0.126992i | ||||
\(161\) | 5.56041 | − | 2.60657i | 0.438222 | − | 0.205426i | ||||
\(162\) | −6.84461 | − | 3.48751i | −0.537764 | − | 0.274004i | ||||
\(163\) | 5.88186 | + | 15.3228i | 0.460703 | + | 1.20017i | 0.945522 | + | 0.325557i | \(0.105552\pi\) |
−0.484820 | + | 0.874614i | \(0.661115\pi\) | |||||||
\(164\) | −0.460859 | + | 0.798231i | −0.0359870 | + | 0.0623314i | ||||
\(165\) | −2.13814 | − | 11.7914i | −0.166454 | − | 0.917957i | ||||
\(166\) | 12.8971 | − | 7.44612i | 1.00101 | − | 0.577931i | ||||
\(167\) | 9.98498 | + | 1.58147i | 0.772661 | + | 0.122377i | 0.530302 | − | 0.847809i | \(-0.322079\pi\) |
0.242359 | + | 0.970187i | \(0.422079\pi\) | |||||||
\(168\) | 2.96358 | − | 3.08133i | 0.228645 | − | 0.237730i | ||||
\(169\) | 8.27203 | + | 2.68775i | 0.636310 | + | 0.206750i | ||||
\(170\) | 7.66773 | + | 12.8015i | 0.588088 | + | 0.981830i | ||||
\(171\) | −0.983823 | − | 2.20970i | −0.0752348 | − | 0.168980i | ||||
\(172\) | −5.38892 | − | 0.282421i | −0.410901 | − | 0.0215344i | ||||
\(173\) | −0.201597 | − | 3.84671i | −0.0153272 | − | 0.292460i | −0.995529 | − | 0.0944581i | \(-0.969888\pi\) |
0.980202 | − | 0.198002i | \(-0.0634452\pi\) | |||||||
\(174\) | 2.97616 | − | 2.16231i | 0.225622 | − | 0.163924i | ||||
\(175\) | −12.9418 | + | 2.74063i | −0.978305 | + | 0.207172i | ||||
\(176\) | −2.86188 | + | 1.67620i | −0.215722 | + | 0.126348i | ||||
\(177\) | 15.7156 | + | 4.21099i | 1.18126 | + | 0.316518i | ||||
\(178\) | 8.08735 | + | 6.54901i | 0.606173 | + | 0.490869i | ||||
\(179\) | 1.44572 | − | 6.80159i | 0.108058 | − | 0.508375i | −0.890514 | − | 0.454956i | \(-0.849655\pi\) |
0.998572 | − | 0.0534187i | \(-0.0170118\pi\) | |||||||
\(180\) | 0.571489 | − | 0.655581i | 0.0425963 | − | 0.0488641i | ||||
\(181\) | 13.0833 | − | 18.0077i | 0.972477 | − | 1.33850i | 0.0316916 | − | 0.999498i | \(-0.489911\pi\) |
0.940786 | − | 0.339002i | \(-0.110089\pi\) | |||||||
\(182\) | −3.36987 | + | 4.33127i | −0.249791 | + | 0.321055i | ||||
\(183\) | 20.9762 | − | 10.6879i | 1.55061 | − | 0.790074i | ||||
\(184\) | 1.72491 | + | 1.55312i | 0.127162 | + | 0.114497i | ||||
\(185\) | 15.4139 | + | 0.559710i | 1.13325 | + | 0.0411507i | ||||
\(186\) | −7.91252 | + | 13.7049i | −0.580174 | + | 1.00489i | ||||
\(187\) | −5.86177 | − | 21.3429i | −0.428655 | − | 1.56075i | ||||
\(188\) | −3.86197 | + | 3.86197i | −0.281663 | + | 0.281663i | ||||
\(189\) | 9.48313 | − | 10.9538i | 0.689796 | − | 0.796770i | ||||
\(190\) | −13.6981 | + | 2.39572i | −0.993762 | + | 0.173804i | ||||
\(191\) | −1.18243 | + | 0.251334i | −0.0855578 | + | 0.0181859i | −0.250492 | − | 0.968119i | \(-0.580592\pi\) |
0.164934 | + | 0.986305i | \(0.447259\pi\) | |||||||
\(192\) | 1.50855 | + | 0.579078i | 0.108870 | + | 0.0417914i | ||||
\(193\) | 21.4356 | + | 8.22836i | 1.54297 | + | 0.592290i | 0.973290 | − | 0.229577i | \(-0.0737344\pi\) |
0.569678 | + | 0.821868i | \(0.307068\pi\) | |||||||
\(194\) | 4.52948 | − | 0.962771i | 0.325198 | − | 0.0691229i | ||||
\(195\) | 4.30719 | − | 6.13314i | 0.308444 | − | 0.439204i | ||||
\(196\) | 3.73342 | + | 5.92128i | 0.266673 | + | 0.422948i | ||||
\(197\) | 0.872438 | − | 0.872438i | 0.0621586 | − | 0.0621586i | −0.675344 | − | 0.737503i | \(-0.736005\pi\) |
0.737503 | + | 0.675344i | \(0.236005\pi\) | |||||||
\(198\) | −1.07746 | + | 0.709310i | −0.0765721 | + | 0.0504085i | ||||
\(199\) | −6.39415 | + | 11.0750i | −0.453269 | + | 0.785085i | −0.998587 | − | 0.0531442i | \(-0.983076\pi\) |
0.545318 | + | 0.838229i | \(0.316409\pi\) | |||||||
\(200\) | −2.85649 | − | 4.10371i | −0.201984 | − | 0.290176i | ||||
\(201\) | 2.41012 | + | 2.17008i | 0.169997 | + | 0.153066i | ||||
\(202\) | −8.18944 | + | 4.17273i | −0.576207 | + | 0.293592i | ||||
\(203\) | 2.26769 | + | 5.58020i | 0.159161 | + | 0.391653i | ||||
\(204\) | −6.33833 | + | 8.72397i | −0.443772 | + | 0.610800i | ||||
\(205\) | 1.55359 | + | 1.35431i | 0.108508 | + | 0.0945893i | ||||
\(206\) | 1.78933 | − | 8.41815i | 0.124669 | − | 0.586520i | ||||
\(207\) | 0.701588 | + | 0.568135i | 0.0487638 | + | 0.0394881i | ||||
\(208\) | −2.00351 | − | 0.536840i | −0.138919 | − | 0.0372232i | ||||
\(209\) | 20.5260 | + | 2.02798i | 1.41981 | + | 0.140278i | ||||
\(210\) | −5.48815 | − | 7.82733i | −0.378718 | − | 0.540137i | ||||
\(211\) | −3.41111 | + | 2.47831i | −0.234830 | + | 0.170614i | −0.698977 | − | 0.715144i | \(-0.746361\pi\) |
0.464147 | + | 0.885758i | \(0.346361\pi\) | |||||||
\(212\) | −0.115944 | − | 2.21235i | −0.00796310 | − | 0.151945i | ||||
\(213\) | −0.959200 | − | 0.0502695i | −0.0657233 | − | 0.00344441i | ||||
\(214\) | −5.58184 | − | 12.5370i | −0.381566 | − | 0.857012i | ||||
\(215\) | −2.93542 | + | 11.7040i | −0.200194 | + | 0.798208i | ||||
\(216\) | 5.20809 | + | 1.69221i | 0.354366 | + | 0.115140i | ||||
\(217\) | −18.6753 | − | 17.9616i | −1.26776 | − | 1.21931i | ||||
\(218\) | −0.650078 | − | 0.102962i | −0.0440288 | − | 0.00697348i | ||||
\(219\) | 1.21434 | − | 0.701100i | 0.0820575 | − | 0.0473759i | ||||
\(220\) | 2.44845 | + | 7.00036i | 0.165075 | + | 0.471964i | ||||
\(221\) | 6.92097 | − | 11.9875i | 0.465555 | − | 0.806365i | ||||
\(222\) | 3.99438 | + | 10.4057i | 0.268085 | + | 0.698386i | ||||
\(223\) | 7.98147 | + | 4.06676i | 0.534479 | + | 0.272330i | 0.700329 | − | 0.713821i | \(-0.253037\pi\) |
−0.165850 | + | 0.986151i | \(0.553037\pi\) | |||||||
\(224\) | −1.51315 | + | 2.17034i | −0.101102 | + | 0.145012i | ||||
\(225\) | −1.19303 | − | 1.53578i | −0.0795350 | − | 0.102385i | ||||
\(226\) | 0.461448 | − | 4.39038i | 0.0306950 | − | 0.292044i | ||||
\(227\) | 1.28854 | − | 24.5867i | 0.0855231 | − | 1.63188i | −0.533003 | − | 0.846113i | \(-0.678937\pi\) |
0.618526 | − | 0.785764i | \(-0.287730\pi\) | |||||||
\(228\) | −5.47310 | − | 8.42784i | −0.362465 | − | 0.558147i | ||||
\(229\) | 2.73102 | + | 1.21593i | 0.180471 | + | 0.0803507i | 0.494983 | − | 0.868903i | \(-0.335174\pi\) |
−0.314512 | + | 0.949253i | \(0.601841\pi\) | |||||||
\(230\) | 4.14935 | − | 3.11773i | 0.273600 | − | 0.205577i | ||||
\(231\) | 4.72692 | + | 13.3682i | 0.311009 | + | 0.879560i | ||||
\(232\) | −1.60982 | + | 1.60982i | −0.105690 | + | 0.105690i | ||||
\(233\) | −8.27790 | − | 21.5647i | −0.542303 | − | 1.41275i | −0.881568 | − | 0.472057i | \(-0.843511\pi\) |
0.339264 | − | 0.940691i | \(-0.389822\pi\) | |||||||
\(234\) | −0.789115 | − | 0.167731i | −0.0515860 | − | 0.0109650i | ||||
\(235\) | 6.81513 | + | 10.1342i | 0.444570 | + | 0.661082i | ||||
\(236\) | −10.0137 | − | 1.05248i | −0.651836 | − | 0.0685107i | ||||
\(237\) | 1.14578 | + | 7.23415i | 0.0744262 | + | 0.469909i | ||||
\(238\) | −11.3765 | − | 13.5024i | −0.737431 | − | 0.875234i | ||||
\(239\) | −5.51605 | + | 1.79227i | −0.356804 | + | 0.115933i | −0.481933 | − | 0.876208i | \(-0.660065\pi\) |
0.125130 | + | 0.992140i | \(0.460065\pi\) | |||||||
\(240\) | 1.91897 | − | 3.06151i | 0.123869 | − | 0.197620i | ||||
\(241\) | −19.5864 | − | 11.3082i | −1.26167 | − | 0.728425i | −0.288271 | − | 0.957549i | \(-0.593080\pi\) |
−0.973397 | + | 0.229124i | \(0.926414\pi\) | |||||||
\(242\) | −0.712714 | − | 10.9769i | −0.0458150 | − | 0.705621i | ||||
\(243\) | 3.87854 | + | 1.03925i | 0.248808 | + | 0.0666680i | ||||
\(244\) | −11.7868 | + | 8.56362i | −0.754573 | + | 0.548229i | ||||
\(245\) | 14.5979 | − | 5.64815i | 0.932625 | − | 0.360847i | ||||
\(246\) | −0.460244 | + | 1.41649i | −0.0293441 | + | 0.0903119i | ||||
\(247\) | 8.11778 | + | 10.0246i | 0.516522 | + | 0.637852i | ||||
\(248\) | 3.50967 | − | 9.14299i | 0.222864 | − | 0.580581i | ||||
\(249\) | 17.8831 | − | 16.1020i | 1.13329 | − | 1.02042i | ||||
\(250\) | −10.2326 | + | 4.50484i | −0.647168 | + | 0.284911i | ||||
\(251\) | 9.98714 | + | 13.7461i | 0.630382 | + | 0.867647i | 0.998057 | − | 0.0623076i | \(-0.0198460\pi\) |
−0.367675 | + | 0.929955i | \(0.619846\pi\) | |||||||
\(252\) | −0.543546 | + | 0.873784i | −0.0342402 | + | 0.0550432i | ||||
\(253\) | −7.16954 | + | 2.80357i | −0.450745 | + | 0.176259i | ||||
\(254\) | −18.7974 | + | 10.8527i | −1.17945 | + | 0.680957i | ||||
\(255\) | 16.4201 | + | 17.6576i | 1.02827 | + | 1.10576i | ||||
\(256\) | −0.978148 | − | 0.207912i | −0.0611342 | − | 0.0129945i | ||||
\(257\) | 5.67400 | + | 3.68474i | 0.353934 | + | 0.229848i | 0.709343 | − | 0.704863i | \(-0.248992\pi\) |
−0.355409 | + | 0.934711i | \(0.615658\pi\) | |||||||
\(258\) | −8.61242 | + | 1.36407i | −0.536186 | + | 0.0849235i | ||||
\(259\) | −18.1094 | + | 2.26075i | −1.12526 | + | 0.140476i | ||||
\(260\) | −2.03897 | + | 4.16581i | −0.126452 | + | 0.258352i | ||||
\(261\) | −0.592501 | + | 0.658039i | −0.0366749 | + | 0.0407316i | ||||
\(262\) | 14.1236 | − | 17.4412i | 0.872558 | − | 1.07752i | ||||
\(263\) | −11.1017 | + | 2.97469i | −0.684560 | + | 0.183427i | −0.584305 | − | 0.811534i | \(-0.698633\pi\) |
−0.100256 | + | 0.994962i | \(0.531966\pi\) | |||||||
\(264\) | −3.96025 | + | 3.61082i | −0.243737 | + | 0.222231i | ||||
\(265\) | −4.90458 | − | 0.696246i | −0.301286 | − | 0.0427700i | ||||
\(266\) | 15.5465 | − | 5.38829i | 0.953216 | − | 0.330377i | ||||
\(267\) | 14.9828 | + | 7.63411i | 0.916932 | + | 0.467200i | ||||
\(268\) | −1.68325 | − | 1.09311i | −0.102821 | − | 0.0667726i | ||||
\(269\) | −3.67224 | + | 1.63499i | −0.223900 | + | 0.0996869i | −0.515621 | − | 0.856817i | \(-0.672439\pi\) |
0.291721 | + | 0.956503i | \(0.405772\pi\) | |||||||
\(270\) | 5.95135 | − | 10.7014i | 0.362188 | − | 0.651268i | ||||
\(271\) | −6.32202 | − | 29.7428i | −0.384035 | − | 1.80674i | −0.567107 | − | 0.823644i | \(-0.691937\pi\) |
0.183072 | − | 0.983100i | \(-0.441396\pi\) | |||||||
\(272\) | 3.02967 | − | 5.94606i | 0.183701 | − | 0.360533i | ||||
\(273\) | −3.87116 | + | 7.97799i | −0.234294 | + | 0.482850i | ||||
\(274\) | − | 10.2055i | − | 0.616535i | ||||||
\(275\) | 16.4137 | − | 2.36472i | 0.989781 | − | 0.142598i | ||||
\(276\) | 3.24812 | + | 1.87530i | 0.195514 | + | 0.112880i | ||||
\(277\) | −8.53737 | − | 6.91343i | −0.512961 | − | 0.415388i | 0.337580 | − | 0.941297i | \(-0.390392\pi\) |
−0.850541 | + | 0.525909i | \(0.823725\pi\) | |||||||
\(278\) | −0.149789 | − | 2.85814i | −0.00898373 | − | 0.171420i | ||||
\(279\) | 1.17708 | − | 3.62268i | 0.0704699 | − | 0.216884i | ||||
\(280\) | 4.11235 | + | 4.25307i | 0.245760 | + | 0.254169i | ||||
\(281\) | −9.45376 | − | 6.86856i | −0.563964 | − | 0.409744i | 0.268943 | − | 0.963156i | \(-0.413326\pi\) |
−0.832908 | + | 0.553412i | \(0.813326\pi\) | |||||||
\(282\) | −4.80663 | + | 7.40156i | −0.286231 | + | 0.440756i | ||||
\(283\) | −5.87638 | + | 3.81617i | −0.349315 | + | 0.226848i | −0.707355 | − | 0.706859i | \(-0.750112\pi\) |
0.358040 | + | 0.933706i | \(0.383445\pi\) | |||||||
\(284\) | 0.591168 | − | 0.0621342i | 0.0350794 | − | 0.00368699i | ||||
\(285\) | −20.8458 | + | 8.38858i | −1.23480 | + | 0.496897i | ||||
\(286\) | 4.57117 | − | 5.14094i | 0.270299 | − | 0.303990i | ||||
\(287\) | −2.07069 | − | 1.28809i | −0.122229 | − | 0.0760338i | ||||
\(288\) | −0.384155 | − | 0.0608442i | −0.0226366 | − | 0.00358528i | ||||
\(289\) | 20.4621 | + | 18.4242i | 1.20365 | + | 1.08378i | ||||
\(290\) | 2.84081 | + | 4.22432i | 0.166818 | + | 0.248061i | ||||
\(291\) | 6.83569 | − | 3.04344i | 0.400715 | − | 0.178410i | ||||
\(292\) | −0.674379 | + | 0.546102i | −0.0394651 | + | 0.0319582i | ||||
\(293\) | −3.76220 | − | 7.38374i | −0.219790 | − | 0.431363i | 0.754613 | − | 0.656170i | \(-0.227825\pi\) |
−0.974403 | + | 0.224808i | \(0.927825\pi\) | |||||||
\(294\) | 7.89023 | + | 8.10469i | 0.460168 | + | 0.472675i | ||||
\(295\) | −6.61256 | + | 21.5217i | −0.384998 | + | 1.25304i | ||||
\(296\) | −3.44891 | − | 5.97369i | −0.200464 | − | 0.347214i | ||||
\(297\) | −12.7623 | + | 12.9225i | −0.740541 | + | 0.749839i | ||||
\(298\) | 4.09249 | − | 1.09658i | 0.237072 | − | 0.0635232i | ||||
\(299\) | −4.39817 | − | 1.95819i | −0.254353 | − | 0.113245i | ||||
\(300\) | −5.89355 | − | 5.52653i | −0.340264 | − | 0.319074i | ||||
\(301\) | 1.21557 | − | 14.2255i | 0.0700644 | − | 0.819942i | ||||
\(302\) | 10.7742 | − | 1.70646i | 0.619983 | − | 0.0981956i | ||||
\(303\) | −11.5421 | + | 9.34659i | −0.663075 | + | 0.536948i | ||||
\(304\) | 4.16129 | + | 4.62158i | 0.238666 | + | 0.265066i | ||||
\(305\) | 13.7270 | + | 29.5447i | 0.786005 | + | 1.69173i | ||||
\(306\) | 1.05572 | − | 2.37118i | 0.0603515 | − | 0.135552i | ||||
\(307\) | 20.9188 | + | 20.9188i | 1.19390 | + | 1.19390i | 0.975963 | + | 0.217937i | \(0.0699329\pi\) |
0.217937 | + | 0.975963i | \(0.430067\pi\) | |||||||
\(308\) | −4.18347 | − | 7.71353i | −0.238375 | − | 0.439519i | ||||
\(309\) | − | 13.9066i | − | 0.791118i | ||||||
\(310\) | −18.5551 | − | 11.6304i | −1.05386 | − | 0.660564i | ||||
\(311\) | −1.40424 | + | 6.60645i | −0.0796274 | + | 0.374617i | −0.999860 | − | 0.0167553i | \(-0.994666\pi\) |
0.920232 | + | 0.391373i | \(0.128000\pi\) | |||||||
\(312\) | −3.34704 | − | 0.175411i | −0.189489 | − | 0.00993070i | ||||
\(313\) | −12.5983 | − | 15.5576i | −0.712097 | − | 0.879367i | 0.284759 | − | 0.958599i | \(-0.408086\pi\) |
−0.996856 | + | 0.0792324i | \(0.974753\pi\) | |||||||
\(314\) | −6.99700 | − | 5.08362i | −0.394864 | − | 0.286885i | ||||
\(315\) | 1.68386 | + | 1.56823i | 0.0948745 | + | 0.0883596i | ||||
\(316\) | −1.40069 | − | 4.31088i | −0.0787950 | − | 0.242506i | ||||
\(317\) | −15.4444 | + | 5.92854i | −0.867442 | + | 0.332980i | −0.751067 | − | 0.660226i | \(-0.770461\pi\) |
−0.116375 | + | 0.993205i | \(0.537127\pi\) | |||||||
\(318\) | −0.926518 | − | 3.45781i | −0.0519566 | − | 0.193905i | ||||
\(319\) | −2.37805 | − | 7.16645i | −0.133145 | − | 0.401244i | ||||
\(320\) | −0.876561 | + | 2.05710i | −0.0490012 | + | 0.114995i | ||||
\(321\) | −13.0344 | − | 17.9403i | −0.727508 | − | 1.00133i | ||||
\(322\) | −4.25698 | + | 4.42611i | −0.237232 | + | 0.246658i | ||||
\(323\) | −36.9782 | + | 18.8413i | −2.05752 | + | 1.04836i | ||||
\(324\) | 7.63981 | + | 0.802976i | 0.424434 | + | 0.0446098i | ||||
\(325\) | 8.26523 | + | 6.26439i | 0.458473 | + | 0.347486i | ||||
\(326\) | −10.9824 | − | 12.1972i | −0.608258 | − | 0.675538i | ||||
\(327\) | −1.06208 | + | 0.0556613i | −0.0587333 | + | 0.00307808i | ||||
\(328\) | 0.144188 | − | 0.910370i | 0.00796147 | − | 0.0502668i | ||||
\(329\) | −9.87635 | − | 10.5482i | −0.544501 | − | 0.581542i | ||||
\(330\) | 6.22178 | + | 10.2420i | 0.342498 | + | 0.563801i | ||||
\(331\) | 4.13332 | + | 7.15913i | 0.227188 | + | 0.393501i | 0.956974 | − | 0.290175i | \(-0.0937135\pi\) |
−0.729786 | + | 0.683676i | \(0.760380\pi\) | |||||||
\(332\) | −9.37199 | + | 11.5734i | −0.514355 | + | 0.635175i | ||||
\(333\) | −1.46119 | − | 2.25004i | −0.0800730 | − | 0.123302i | ||||
\(334\) | −9.88853 | + | 2.10187i | −0.541076 | + | 0.115009i | ||||
\(335\) | −3.12203 | + | 3.22398i | −0.170575 | + | 0.176145i | ||||
\(336\) | −1.66249 | + | 3.93872i | −0.0906963 | + | 0.214875i | ||||
\(337\) | 3.78502 | + | 7.42851i | 0.206183 | + | 0.404657i | 0.970822 | − | 0.239802i | \(-0.0770826\pi\) |
−0.764639 | + | 0.644459i | \(0.777083\pi\) | |||||||
\(338\) | −8.68581 | + | 0.455204i | −0.472446 | + | 0.0247598i | ||||
\(339\) | −0.745642 | − | 7.09431i | −0.0404977 | − | 0.385310i | ||||
\(340\) | −11.7461 | − | 9.20336i | −0.637021 | − | 0.499123i | ||||
\(341\) | 21.8844 | + | 24.0022i | 1.18511 | + | 1.29979i | ||||
\(342\) | 1.71037 | + | 1.71037i | 0.0924859 | + | 0.0924859i | ||||
\(343\) | −15.9825 | + | 9.35731i | −0.862975 | + | 0.505247i | ||||
\(344\) | 5.13220 | − | 1.66755i | 0.276710 | − | 0.0899084i | ||||
\(345\) | 5.51089 | − | 6.32179i | 0.296697 | − | 0.340354i | ||||
\(346\) | 1.56674 | + | 3.51897i | 0.0842287 | + | 0.189181i | ||||
\(347\) | 3.08095 | − | 8.02616i | 0.165394 | − | 0.430867i | −0.825687 | − | 0.564129i | \(-0.809212\pi\) |
0.991081 | + | 0.133262i | \(0.0425453\pi\) | |||||||
\(348\) | −2.00359 | + | 3.08525i | −0.107403 | + | 0.165387i | ||||
\(349\) | 2.94424 | + | 9.06145i | 0.157602 | + | 0.485048i | 0.998415 | − | 0.0562767i | \(-0.0179229\pi\) |
−0.840813 | + | 0.541325i | \(0.817923\pi\) | |||||||
\(350\) | 11.1000 | − | 7.19651i | 0.593321 | − | 0.384669i | ||||
\(351\) | −11.3585 | −0.606272 | ||||||||
\(352\) | 2.07110 | − | 2.59047i | 0.110390 | − | 0.138073i | ||||
\(353\) | −3.83612 | − | 14.3166i | −0.204176 | − | 0.761996i | −0.989699 | − | 0.143163i | \(-0.954273\pi\) |
0.785523 | − | 0.618832i | \(-0.212394\pi\) | |||||||
\(354\) | −16.1809 | + | 1.70068i | −0.860005 | + | 0.0903902i | ||||
\(355\) | 0.117685 | − | 1.32395i | 0.00624607 | − | 0.0702681i | ||||
\(356\) | −9.89715 | − | 3.21578i | −0.524548 | − | 0.170436i | ||||
\(357\) | −22.5176 | − | 17.5194i | −1.19176 | − | 0.927228i | ||||
\(358\) | 1.08777 | + | 6.86794i | 0.0574906 | + | 0.362982i | ||||
\(359\) | −5.40814 | − | 25.4433i | −0.285431 | − | 1.34285i | −0.854026 | − | 0.520230i | \(-0.825846\pi\) |
0.568596 | − | 0.822617i | \(-0.307487\pi\) | |||||||
\(360\) | −0.298592 | + | 0.816841i | −0.0157372 | + | 0.0430513i | ||||
\(361\) | −2.05663 | − | 19.5675i | −0.108244 | − | 1.02987i | ||||
\(362\) | −5.76098 | + | 21.5003i | −0.302790 | + | 1.13003i | ||||
\(363\) | −4.81428 | − | 17.1102i | −0.252684 | − | 0.898055i | ||||
\(364\) | 1.59385 | − | 5.25124i | 0.0835407 | − | 0.275240i | ||||
\(365\) | 0.908571 | + | 1.71452i | 0.0475568 | + | 0.0897419i | ||||
\(366\) | −15.7528 | + | 17.4953i | −0.823412 | + | 0.914491i | ||||
\(367\) | −0.311484 | + | 5.94347i | −0.0162593 | + | 0.310247i | 0.978378 | + | 0.206824i | \(0.0663128\pi\) |
−0.994637 | + | 0.103423i | \(0.967021\pi\) | |||||||
\(368\) | −2.16693 | − | 0.831806i | −0.112959 | − | 0.0433609i | ||||
\(369\) | 0.0374731 | − | 0.356533i | 0.00195077 | − | 0.0185603i | ||||
\(370\) | −14.5907 | + | 5.00130i | −0.758532 | + | 0.260005i | ||||
\(371\) | 5.86025 | − | 0.114151i | 0.304249 | − | 0.00592645i | ||||
\(372\) | 2.47558 | − | 15.6302i | 0.128353 | − | 0.810388i | ||||
\(373\) | 2.35572 | − | 8.79167i | 0.121975 | − | 0.455215i | −0.877739 | − | 0.479139i | \(-0.840949\pi\) |
0.999714 | + | 0.0239233i | \(0.00761575\pi\) | |||||||
\(374\) | 13.1210 | + | 17.8246i | 0.678473 | + | 0.921690i | ||||
\(375\) | −14.6599 | + | 10.5579i | −0.757033 | + | 0.545209i | ||||
\(376\) | 2.22145 | − | 4.98946i | 0.114563 | − | 0.257312i | ||||
\(377\) | 2.14381 | − | 4.20747i | 0.110412 | − | 0.216696i | ||||
\(378\) | −4.92778 | + | 13.6247i | −0.253458 | + | 0.700778i | ||||
\(379\) | −2.99530 | + | 4.12268i | −0.153858 | + | 0.211768i | −0.878987 | − | 0.476845i | \(-0.841780\pi\) |
0.725129 | + | 0.688613i | \(0.241780\pi\) | |||||||
\(380\) | 11.9297 | − | 7.14554i | 0.611981 | − | 0.366559i | ||||
\(381\) | −26.0644 | + | 23.4685i | −1.33532 | + | 1.20233i | ||||
\(382\) | 1.01383 | − | 0.658386i | 0.0518719 | − | 0.0336860i | ||||
\(383\) | 29.8923 | − | 11.4746i | 1.52742 | − | 0.586323i | 0.557595 | − | 0.830113i | \(-0.311724\pi\) |
0.969828 | + | 0.243790i | \(0.0783908\pi\) | |||||||
\(384\) | −1.61588 | −0.0824598 | ||||||||
\(385\) | −18.7242 | + | 5.86556i | −0.954273 | + | 0.298937i | ||||
\(386\) | −22.9606 | −1.16867 | ||||||||
\(387\) | 1.95946 | − | 0.752165i | 0.0996048 | − | 0.0382347i | ||||
\(388\) | −3.88361 | + | 2.52204i | −0.197160 | + | 0.128037i | ||||
\(389\) | 16.8756 | − | 15.1948i | 0.855626 | − | 0.770409i | −0.119319 | − | 0.992856i | \(-0.538071\pi\) |
0.974945 | + | 0.222447i | \(0.0714044\pi\) | |||||||
\(390\) | −1.82318 | + | 7.26934i | −0.0923205 | + | 0.368097i | ||||
\(391\) | 9.10458 | − | 12.5314i | 0.460438 | − | 0.633739i | ||||
\(392\) | −5.60745 | − | 4.19005i | −0.283219 | − | 0.211629i | ||||
\(393\) | 16.4637 | − | 32.3119i | 0.830484 | − | 1.62992i | ||||
\(394\) | −0.501837 | + | 1.12715i | −0.0252822 | + | 0.0567847i | ||||
\(395\) | −10.0616 | + | 1.22122i | −0.506256 | + | 0.0614465i | ||||
\(396\) | 0.751706 | − | 1.04833i | 0.0377747 | − | 0.0526804i | ||||
\(397\) | −8.15748 | + | 30.4441i | −0.409412 | + | 1.52795i | 0.386358 | + | 0.922349i | \(0.373733\pi\) |
−0.795770 | + | 0.605599i | \(0.792934\pi\) | |||||||
\(398\) | 2.00053 | − | 12.6309i | 0.100278 | − | 0.633127i | ||||
\(399\) | 22.7620 | − | 13.7395i | 1.13953 | − | 0.687837i | ||||
\(400\) | 4.13740 | + | 2.80747i | 0.206870 | + | 0.140374i | ||||
\(401\) | 0.337719 | − | 3.21318i | 0.0168649 | − | 0.160459i | −0.982848 | − | 0.184417i | \(-0.940960\pi\) |
0.999713 | + | 0.0239584i | \(0.00762693\pi\) | |||||||
\(402\) | −3.02773 | − | 1.16223i | −0.151009 | − | 0.0579670i | ||||
\(403\) | −1.06313 | + | 20.2857i | −0.0529582 | + | 1.01050i | ||||
\(404\) | 6.15013 | − | 6.83041i | 0.305980 | − | 0.339826i | ||||
\(405\) | 5.04496 | − | 16.4197i | 0.250686 | − | 0.815900i | ||||
\(406\) | −4.11684 | − | 4.39690i | −0.204315 | − | 0.218214i | ||||
\(407\) | 22.8382 | − | 1.33983i | 1.13205 | − | 0.0664127i | ||||
\(408\) | 2.79095 | − | 10.4160i | 0.138173 | − | 0.515668i | ||||
\(409\) | 0.928203 | + | 8.83126i | 0.0458967 | + | 0.436678i | 0.993207 | + | 0.116360i | \(0.0371228\pi\) |
−0.947310 | + | 0.320317i | \(0.896211\pi\) | |||||||
\(410\) | −1.93575 | − | 0.707602i | −0.0955997 | − | 0.0349460i | ||||
\(411\) | −3.42862 | − | 16.1304i | −0.169121 | − | 0.795654i | ||||
\(412\) | 1.34631 | + | 8.50026i | 0.0663279 | + | 0.418778i | ||||
\(413\) | 3.65415 | − | 26.3879i | 0.179809 | − | 1.29846i | ||||
\(414\) | −0.858590 | − | 0.278973i | −0.0421974 | − | 0.0137108i | ||||
\(415\) | 21.3694 | + | 25.5391i | 1.04898 | + | 1.25366i | ||||
\(416\) | 2.06283 | − | 0.216812i | 0.101138 | − | 0.0106301i | ||||
\(417\) | −1.19697 | − | 4.46715i | −0.0586159 | − | 0.218757i | ||||
\(418\) | −19.8894 | + | 5.46257i | −0.972823 | + | 0.267183i | ||||
\(419\) | 3.71788 | 0.181630 | 0.0908152 | − | 0.995868i | \(-0.471053\pi\) | ||||
0.0908152 | + | 0.995868i | \(0.471053\pi\) | |||||||
\(420\) | 7.92870 | + | 5.34067i | 0.386881 | + | 0.260598i | ||||
\(421\) | 10.4077 | + | 32.0316i | 0.507240 | + | 1.56113i | 0.796971 | + | 0.604017i | \(0.206434\pi\) |
−0.289731 | + | 0.957108i | \(0.593566\pi\) | |||||||
\(422\) | 2.29639 | − | 3.53614i | 0.111787 | − | 0.172136i | ||||
\(423\) | 0.761272 | − | 1.98318i | 0.0370143 | − | 0.0964256i | ||||
\(424\) | 0.901079 | + | 2.02386i | 0.0437603 | + | 0.0982872i | ||||
\(425\) | −25.2432 | + | 21.8207i | −1.22448 | + | 1.05846i | ||||
\(426\) | 0.913505 | − | 0.296816i | 0.0442595 | − | 0.0143808i | ||||
\(427\) | −21.6197 | − | 31.9130i | −1.04625 | − | 1.54438i | ||||
\(428\) | 9.70395 | + | 9.70395i | 0.469058 | + | 0.469058i | ||||
\(429\) | 5.49789 | − | 9.66133i | 0.265441 | − | 0.466453i | ||||
\(430\) | −1.45390 | − | 11.9786i | −0.0701131 | − | 0.577660i | ||||
\(431\) | 0.655198 | + | 6.23379i | 0.0315598 | + | 0.300271i | 0.998904 | + | 0.0468051i | \(0.0149040\pi\) |
−0.967344 | + | 0.253466i | \(0.918429\pi\) | |||||||
\(432\) | −5.46861 | + | 0.286598i | −0.263109 | + | 0.0137889i | ||||
\(433\) | 5.72260 | + | 11.2312i | 0.275011 | + | 0.539739i | 0.986660 | − | 0.162796i | \(-0.0520513\pi\) |
−0.711649 | + | 0.702535i | \(0.752051\pi\) | |||||||
\(434\) | 23.8717 | + | 10.0760i | 1.14588 | + | 0.483663i | ||||
\(435\) | 5.90928 | + | 5.72242i | 0.283328 | + | 0.274369i | ||||
\(436\) | 0.643798 | − | 0.136844i | 0.0308323 | − | 0.00655362i | ||||
\(437\) | 7.86173 | + | 12.1060i | 0.376078 | + | 0.579109i | ||||
\(438\) | −0.882433 | + | 1.08971i | −0.0421643 | + | 0.0520685i | ||||
\(439\) | 8.93530 | + | 15.4764i | 0.426458 | + | 0.738648i | 0.996555 | − | 0.0829298i | \(-0.0264277\pi\) |
−0.570097 | + | 0.821577i | \(0.693094\pi\) | |||||||
\(440\) | −4.79453 | − | 5.65795i | −0.228570 | − | 0.269732i | ||||
\(441\) | −2.26329 | − | 1.51332i | −0.107776 | − | 0.0720627i | ||||
\(442\) | −2.16536 | + | 13.6715i | −0.102996 | + | 0.650288i | ||||
\(443\) | 2.87282 | − | 0.150558i | 0.136492 | − | 0.00715323i | 0.0160323 | − | 0.999871i | \(-0.494897\pi\) |
0.120460 | + | 0.992718i | \(0.461563\pi\) | |||||||
\(444\) | −7.45815 | − | 8.28312i | −0.353948 | − | 0.393099i | ||||
\(445\) | −11.3096 | + | 20.3363i | −0.536126 | + | 0.964035i | ||||
\(446\) | −8.90874 | − | 0.936346i | −0.421841 | − | 0.0443373i | ||||
\(447\) | 6.10005 | − | 3.10813i | 0.288522 | − | 0.147009i | ||||
\(448\) | 0.634870 | − | 2.56845i | 0.0299948 | − | 0.121348i | ||||
\(449\) | −14.4900 | − | 19.9438i | −0.683826 | − | 0.941206i | 0.316145 | − | 0.948711i | \(-0.397611\pi\) |
−0.999972 | + | 0.00750439i | \(0.997611\pi\) | |||||||
\(450\) | 1.66416 | + | 1.00623i | 0.0784493 | + | 0.0474343i | ||||
\(451\) | 2.48432 | + | 1.78139i | 0.116982 | + | 0.0838824i | ||||
\(452\) | 1.14257 | + | 4.26414i | 0.0537421 | + | 0.200568i | ||||
\(453\) | 16.4559 | − | 6.31685i | 0.773168 | − | 0.296791i | ||||
\(454\) | 7.60814 | + | 23.4154i | 0.357068 | + | 1.09894i | ||||
\(455\) | −10.8384 | − | 5.75406i | −0.508110 | − | 0.269754i | ||||
\(456\) | 8.12985 | + | 5.90668i | 0.380715 | + | 0.276606i | ||||
\(457\) | −5.13033 | − | 6.33543i | −0.239987 | − | 0.296359i | 0.642895 | − | 0.765954i | \(-0.277733\pi\) |
−0.882882 | + | 0.469595i | \(0.844400\pi\) | |||||||
\(458\) | −2.98537 | − | 0.156457i | −0.139497 | − | 0.00731075i | ||||
\(459\) | 7.59801 | − | 35.7458i | 0.354645 | − | 1.66847i | ||||
\(460\) | −2.75646 | + | 4.39765i | −0.128521 | + | 0.205041i | ||||
\(461\) | − | 5.98550i | − | 0.278772i | −0.990238 | − | 0.139386i | \(-0.955487\pi\) | ||
0.990238 | − | 0.139386i | \(-0.0445129\pi\) | |||||||
\(462\) | −9.20368 | − | 10.7863i | −0.428194 | − | 0.501823i | ||||
\(463\) | −2.87602 | − | 2.87602i | −0.133660 | − | 0.133660i | 0.637111 | − | 0.770772i | \(-0.280129\pi\) |
−0.770772 | + | 0.637111i | \(0.780129\pi\) | |||||||
\(464\) | 0.925986 | − | 2.07980i | 0.0429878 | − | 0.0965522i | ||||
\(465\) | −33.2350 | − | 12.1489i | −1.54124 | − | 0.563390i | ||||
\(466\) | 15.4562 | + | 17.1658i | 0.715993 | + | 0.795191i | ||||
\(467\) | 12.3531 | − | 10.0033i | 0.571633 | − | 0.462900i | −0.299397 | − | 0.954129i | \(-0.596786\pi\) |
0.871030 | + | 0.491229i | \(0.163452\pi\) | |||||||
\(468\) | 0.796812 | − | 0.126203i | 0.0368326 | − | 0.00583372i | ||||
\(469\) | 3.03696 | − | 4.35596i | 0.140234 | − | 0.201140i | ||||
\(470\) | −9.99425 | − | 7.01876i | −0.461000 | − | 0.323751i | ||||
\(471\) | −12.7671 | − | 5.68429i | −0.588278 | − | 0.261918i | ||||
\(472\) | 9.72577 | − | 2.60601i | 0.447665 | − | 0.119951i | ||||
\(473\) | −2.68945 | + | 17.6943i | −0.123661 | + | 0.813586i | ||||
\(474\) | −3.66216 | − | 6.34305i | −0.168209 | − | 0.291346i | ||||
\(475\) | −10.5538 | − | 29.2489i | −0.484240 | − | 1.34203i | ||||
\(476\) | 15.4597 | + | 8.52864i | 0.708596 | + | 0.390909i | ||||
\(477\) | 0.391186 | + | 0.767746i | 0.0179112 | + | 0.0351527i | ||||
\(478\) | 4.50739 | − | 3.65001i | 0.206163 | − | 0.166947i | ||||
\(479\) | −31.4537 | + | 14.0041i | −1.43715 | + | 0.639863i | −0.969732 | − | 0.244171i | \(-0.921484\pi\) |
−0.467423 | + | 0.884034i | \(0.654817\pi\) | |||||||
\(480\) | −0.694361 | + | 3.54586i | −0.0316931 | + | 0.161846i | ||||
\(481\) | 10.6325 | + | 9.57353i | 0.484799 | + | 0.436515i | ||||
\(482\) | 22.3379 | + | 3.53798i | 1.01747 | + | 0.161151i | ||||
\(483\) | −5.24144 | + | 8.42594i | −0.238494 | + | 0.383393i | ||||
\(484\) | 4.59914 | + | 9.99239i | 0.209052 | + | 0.454200i | ||||
\(485\) | 3.86552 | + | 9.60590i | 0.175524 | + | 0.436181i | ||||
\(486\) | −3.99336 | + | 0.419719i | −0.181143 | + | 0.0190388i | ||||
\(487\) | 29.0329 | − | 18.8542i | 1.31560 | − | 0.854364i | 0.319946 | − | 0.947436i | \(-0.396335\pi\) |
0.995659 | + | 0.0930722i | \(0.0296687\pi\) | |||||||
\(488\) | 7.93501 | − | 12.2188i | 0.359201 | − | 0.553121i | ||||
\(489\) | −21.4561 | − | 15.5888i | −0.970279 | − | 0.704949i | ||||
\(490\) | −11.6042 | + | 10.5044i | −0.524224 | + | 0.474541i | ||||
\(491\) | 7.93482 | − | 24.4209i | 0.358093 | − | 1.10210i | −0.596101 | − | 0.802909i | \(-0.703284\pi\) |
0.954194 | − | 0.299188i | \(-0.0967158\pi\) | |||||||
\(492\) | −0.0779482 | − | 1.48734i | −0.00351418 | − | 0.0670545i | ||||
\(493\) | 11.8071 | + | 9.56117i | 0.531764 | + | 0.430614i | ||||
\(494\) | −11.1711 | − | 6.44964i | −0.502612 | − | 0.290183i | ||||
\(495\) | −1.97742 | − | 2.10001i | −0.0888785 | − | 0.0943886i | ||||
\(496\) | 9.79347i | 0.439740i | ||||||||
\(497\) | 0.112880 | + | 1.56864i | 0.00506335 | + | 0.0703632i | ||||
\(498\) | −10.9248 | + | 21.4412i | −0.489554 | + | 0.960803i | ||||
\(499\) | 0.0362440 | + | 0.170515i | 0.00162251 | + | 0.00763329i | 0.978951 | − | 0.204093i | \(-0.0654246\pi\) |
−0.977329 | + | 0.211727i | \(0.932091\pi\) | |||||||
\(500\) | 7.93858 | − | 7.87267i | 0.355024 | − | 0.352076i | ||||
\(501\) | −14.9233 | + | 6.64429i | −0.666725 | + | 0.296845i | ||||
\(502\) | −14.2500 | − | 9.25403i | −0.636007 | − | 0.413028i | ||||
\(503\) | −28.4706 | − | 14.5065i | −1.26944 | − | 0.646812i | −0.316104 | − | 0.948725i | \(-0.602375\pi\) |
−0.953336 | + | 0.301913i | \(0.902375\pi\) | |||||||
\(504\) | 0.194308 | − | 1.01054i | 0.00865515 | − | 0.0450129i | ||||
\(505\) | −12.3458 | − | 16.4309i | −0.549381 | − | 0.731165i | ||||
\(506\) | 5.68863 | − | 5.18669i | 0.252890 | − | 0.230577i | ||||
\(507\) | −13.5756 | + | 3.63756i | −0.602912 | + | 0.161550i | ||||
\(508\) | 13.6596 | − | 16.8682i | 0.606047 | − | 0.748406i | ||||
\(509\) | −11.3718 | + | 12.6297i | −0.504047 | + | 0.559800i | −0.940442 | − | 0.339955i | \(-0.889588\pi\) |
0.436395 | + | 0.899755i | \(0.356255\pi\) | |||||||
\(510\) | −21.6574 | − | 10.6003i | −0.959007 | − | 0.469390i | ||||
\(511\) | −1.38541 | − | 1.83078i | −0.0612868 | − | 0.0809889i | ||||
\(512\) | 0.987688 | − | 0.156434i | 0.0436501 | − | 0.00691349i | ||||
\(513\) | 28.5615 | + | 18.5480i | 1.26102 | + | 0.818916i | ||||
\(514\) | −6.61762 | − | 1.40662i | −0.291891 | − | 0.0620433i | ||||
\(515\) | 19.2314 | + | 0.698334i | 0.847437 | + | 0.0307723i | ||||
\(516\) | 7.55155 | − | 4.35989i | 0.332438 | − | 0.191933i | ||||
\(517\) | 11.4873 | + | 14.0060i | 0.505209 | + | 0.615984i | ||||
\(518\) | 16.0964 | − | 8.60041i | 0.707234 | − | 0.377880i | ||||
\(519\) | 3.65857 | + | 5.03559i | 0.160593 | + | 0.221038i | ||||
\(520\) | 0.410651 | − | 4.61982i | 0.0180082 | − | 0.202592i | ||||
\(521\) | −12.3240 | + | 11.0966i | −0.539923 | + | 0.486149i | −0.893380 | − | 0.449302i | \(-0.851673\pi\) |
0.353457 | + | 0.935451i | \(0.385006\pi\) | |||||||
\(522\) | 0.317327 | − | 0.826666i | 0.0138890 | − | 0.0361822i | ||||
\(523\) | 0.733802 | + | 0.906170i | 0.0320869 | + | 0.0396240i | 0.792937 | − | 0.609304i | \(-0.208551\pi\) |
−0.760850 | + | 0.648928i | \(0.775218\pi\) | |||||||
\(524\) | −6.93514 | + | 21.3442i | −0.302963 | + | 0.932424i | ||||
\(525\) | 15.1266 | − | 15.1037i | 0.660177 | − | 0.659180i | ||||
\(526\) | 9.29830 | − | 6.75561i | 0.405425 | − | 0.294559i | ||||
\(527\) | −63.1290 | − | 16.9154i | −2.74994 | − | 0.736845i | ||||
\(528\) | 2.40321 | − | 4.79022i | 0.104586 | − | 0.208467i | ||||
\(529\) | 15.2529 | + | 8.80626i | 0.663169 | + | 0.382881i | ||||
\(530\) | 4.82834 | − | 1.10764i | 0.209730 | − | 0.0481130i | ||||
\(531\) | 3.72455 | − | 1.21018i | 0.161632 | − | 0.0525173i | ||||
\(532\) | −12.5829 | + | 10.6018i | −0.545538 | + | 0.459645i | ||||
\(533\) | 0.299074 | + | 1.88828i | 0.0129543 | + | 0.0817905i | ||||
\(534\) | −16.7235 | − | 1.75771i | −0.723695 | − | 0.0760634i | ||||
\(535\) | 25.4642 | − | 17.1244i | 1.10091 | − | 0.740351i | ||||
\(536\) | 1.96318 | + | 0.417288i | 0.0847966 | + | 0.0180241i | ||||
\(537\) | 4.02665 | + | 10.4898i | 0.173763 | + | 0.452667i | ||||
\(538\) | 2.84240 | − | 2.84240i | 0.122545 | − | 0.122545i | ||||
\(539\) | 20.7610 | − | 10.3915i | 0.894238 | − | 0.447592i | ||||
\(540\) | −1.72102 | + | 12.1234i | −0.0740608 | + | 0.521709i | ||||
\(541\) | 41.5974 | + | 18.5204i | 1.78841 | + | 0.796252i | 0.977455 | + | 0.211146i | \(0.0677196\pi\) |
0.810957 | + | 0.585106i | \(0.198947\pi\) | |||||||
\(542\) | 16.5610 | + | 25.5016i | 0.711354 | + | 1.09539i | ||||
\(543\) | −1.88238 | + | 35.9180i | −0.0807808 | + | 1.54139i | ||||
\(544\) | −0.697562 | + | 6.63686i | −0.0299077 | + | 0.284553i | ||||
\(545\) | −0.0236405 | − | 1.47155i | −0.00101265 | − | 0.0630342i | ||||
\(546\) | 0.754988 | − | 8.83540i | 0.0323105 | − | 0.378120i | ||||
\(547\) | −29.4864 | − | 15.0240i | −1.26075 | − | 0.642382i | −0.309524 | − | 0.950892i | \(-0.600170\pi\) |
−0.951221 | + | 0.308510i | \(0.900170\pi\) | |||||||
\(548\) | 3.65731 | + | 9.52762i | 0.156233 | + | 0.407000i | ||||
\(549\) | 2.83332 | − | 4.90745i | 0.120923 | − | 0.209445i | ||||
\(550\) | −14.4760 | + | 8.08979i | −0.617260 | + | 0.344950i | ||||
\(551\) | −12.2614 | + | 7.07910i | −0.522351 | + | 0.301580i | ||||
\(552\) | −3.70442 | − | 0.586723i | −0.157671 | − | 0.0249726i | ||||
\(553\) | 11.5212 | − | 3.32889i | 0.489931 | − | 0.141559i | ||||
\(554\) | 10.4479 | + | 3.39472i | 0.443888 | + | 0.144228i | ||||
\(555\) | −21.3812 | + | 12.8067i | −0.907583 | + | 0.543616i | ||||
\(556\) | 1.16411 | + | 2.61462i | 0.0493691 | + | 0.110885i | ||||
\(557\) | −21.4833 | − | 1.12589i | −0.910278 | − | 0.0477056i | −0.408555 | − | 0.912734i | \(-0.633967\pi\) |
−0.501723 | + | 0.865028i | \(0.667300\pi\) | |||||||
\(558\) | 0.199353 | + | 3.80389i | 0.00843931 | + | 0.161032i | ||||
\(559\) | −9.05531 | + | 6.57907i | −0.382999 | + | 0.278265i | ||||
\(560\) | −5.36337 | − | 2.49685i | −0.226644 | − | 0.105511i | ||||
\(561\) | 26.7270 | + | 23.7649i | 1.12842 | + | 1.00335i | ||||
\(562\) | 11.2873 | + | 3.02443i | 0.476127 | + | 0.127578i | ||||
\(563\) | 24.3446 | + | 19.7139i | 1.02600 | + | 0.830842i | 0.985728 | − | 0.168347i | \(-0.0538428\pi\) |
0.0402766 | + | 0.999189i | \(0.487176\pi\) | |||||||
\(564\) | 1.83489 | − | 8.63249i | 0.0772629 | − | 0.363493i | ||||
\(565\) | 9.84817 | − | 0.674900i | 0.414315 | − | 0.0283933i | ||||
\(566\) | 4.11848 | − | 5.66861i | 0.173113 | − | 0.238269i | ||||
\(567\) | −2.78788 | + | 20.1323i | −0.117080 | + | 0.845475i | ||||
\(568\) | −0.529636 | + | 0.269863i | −0.0222230 | + | 0.0113232i | ||||
\(569\) | 6.44543 | + | 5.80349i | 0.270206 | + | 0.243295i | 0.793083 | − | 0.609113i | \(-0.208475\pi\) |
−0.522877 | + | 0.852408i | \(0.675141\pi\) | |||||||
\(570\) | 16.4551 | − | 15.3019i | 0.689226 | − | 0.640926i | ||||
\(571\) | 8.84493 | − | 15.3199i | 0.370149 | − | 0.641117i | −0.619439 | − | 0.785045i | \(-0.712640\pi\) |
0.989588 | + | 0.143928i | \(0.0459733\pi\) | |||||||
\(572\) | −2.42521 | + | 6.43765i | −0.101403 | + | 0.269172i | ||||
\(573\) | 1.38123 | − | 1.38123i | 0.0577016 | − | 0.0577016i | ||||
\(574\) | 2.39477 | + | 0.460470i | 0.0999557 | + | 0.0192196i | ||||
\(575\) | 8.46567 | + | 7.93847i | 0.353043 | + | 0.331057i | ||||
\(576\) | 0.380445 | − | 0.0808660i | 0.0158519 | − | 0.00336942i | ||||
\(577\) | −32.5760 | − | 12.5047i | −1.35615 | − | 0.520579i | −0.431751 | − | 0.901993i | \(-0.642104\pi\) |
−0.924404 | + | 0.381414i | \(0.875437\pi\) | |||||||
\(578\) | −25.7057 | − | 9.86748i | −1.06921 | − | 0.410433i | ||||
\(579\) | −36.2908 | + | 7.71385i | −1.50819 | + | 0.320577i | ||||
\(580\) | −4.16598 | − | 2.92569i | −0.172983 | − | 0.121483i | ||||
\(581\) | −29.7887 | − | 25.7893i | −1.23584 | − | 1.06992i | ||||
\(582\) | −5.29099 | + | 5.29099i | −0.219319 | + | 0.219319i | ||||
\(583\) | −7.33980 | − | 0.338759i | −0.303983 | − | 0.0140300i | ||||
\(584\) | 0.433882 | − | 0.751506i | 0.0179542 | − | 0.0310975i | ||||
\(585\) | 0.0654616 | − | 1.80275i | 0.00270650 | − | 0.0745344i | ||||
\(586\) | 6.15841 | + | 5.54506i | 0.254402 | + | 0.229064i | ||||
\(587\) | −12.4246 | + | 6.33067i | −0.512820 | + | 0.261295i | −0.691196 | − | 0.722668i | \(-0.742916\pi\) |
0.178376 | + | 0.983962i | \(0.442916\pi\) | |||||||
\(588\) | −10.2706 | − | 4.73877i | −0.423554 | − | 0.195424i | ||||
\(589\) | 35.7991 | − | 49.2732i | 1.47508 | − | 2.03027i | ||||
\(590\) | −1.53933 | − | 22.4620i | −0.0633732 | − | 0.924744i | ||||
\(591\) | −0.414512 | + | 1.95012i | −0.0170507 | + | 0.0802174i | ||||
\(592\) | 5.36062 | + | 4.34094i | 0.220320 | + | 0.178412i | ||||
\(593\) | 25.4565 | + | 6.82105i | 1.04537 | + | 0.280107i | 0.740339 | − | 0.672234i | \(-0.234665\pi\) |
0.305035 | + | 0.952341i | \(0.401332\pi\) | |||||||
\(594\) | 7.28358 | − | 16.6378i | 0.298849 | − | 0.682656i | ||||
\(595\) | 25.3584 | − | 30.2599i | 1.03959 | − | 1.24053i | ||||
\(596\) | −3.42769 | + | 2.49036i | −0.140404 | + | 0.102009i | ||||
\(597\) | −1.08149 | − | 20.6360i | −0.0442623 | − | 0.844575i | ||||
\(598\) | 4.80779 | + | 0.251966i | 0.196605 | + | 0.0103036i | ||||
\(599\) | 13.7749 | + | 30.9390i | 0.562829 | + | 1.26413i | 0.941002 | + | 0.338400i | \(0.109886\pi\) |
−0.378173 | + | 0.925735i | \(0.623448\pi\) | |||||||
\(600\) | 7.48263 | + | 3.04740i | 0.305477 | + | 0.124409i | ||||
\(601\) | −7.31023 | − | 2.37524i | −0.298190 | − | 0.0968879i | 0.156101 | − | 0.987741i | \(-0.450107\pi\) |
−0.454291 | + | 0.890853i | \(0.650107\pi\) | |||||||
\(602\) | 3.96312 | + | 13.7162i | 0.161525 | + | 0.559032i | ||||
\(603\) | 0.771016 | + | 0.122117i | 0.0313982 | + | 0.00497299i | ||||
\(604\) | −9.44700 | + | 5.45423i | −0.384393 | + | 0.221929i | ||||
\(605\) | 23.9035 | − | 5.79846i | 0.971816 | − | 0.235741i | ||||
\(606\) | 7.42594 | − | 12.8621i | 0.301658 | − | 0.522487i | ||||
\(607\) | 7.81590 | + | 20.3611i | 0.317237 | + | 0.826432i | 0.995772 | + | 0.0918630i | \(0.0292822\pi\) |
−0.678534 | + | 0.734569i | \(0.737384\pi\) | |||||||
\(608\) | −5.54112 | − | 2.82334i | −0.224722 | − | 0.114502i | ||||
\(609\) | −7.98411 | − | 5.56650i | −0.323533 | − | 0.225566i | ||||
\(610\) | −23.4031 | − | 22.6631i | −0.947565 | − | 0.917601i | ||||
\(611\) | −1.18415 | + | 11.2664i | −0.0479056 | + | 0.455791i | ||||
\(612\) | −0.135842 | + | 2.59203i | −0.00549110 | + | 0.104777i | ||||
\(613\) | −0.270029 | − | 0.415808i | −0.0109064 | − | 0.0167943i | 0.833175 | − | 0.553009i | \(-0.186520\pi\) |
−0.844082 | + | 0.536215i | \(0.819854\pi\) | |||||||
\(614\) | −27.0260 | − | 12.0328i | −1.09068 | − | 0.485603i | ||||
\(615\) | −3.29730 | − | 0.468079i | −0.132960 | − | 0.0188748i | ||||
\(616\) | 6.66989 | + | 5.70198i | 0.268737 | + | 0.229739i | ||||
\(617\) | −25.7712 | + | 25.7712i | −1.03751 | + | 1.03751i | −0.0382411 | + | 0.999269i | \(0.512175\pi\) |
−0.999269 | + | 0.0382411i | \(0.987825\pi\) | |||||||
\(618\) | 4.98367 | + | 12.9829i | 0.200473 | + | 0.522249i | ||||
\(619\) | −38.6653 | − | 8.21856i | −1.55409 | − | 0.330332i | −0.650762 | − | 0.759282i | \(-0.725550\pi\) |
−0.903328 | + | 0.428950i | \(0.858884\pi\) | |||||||
\(620\) | 21.4907 | + | 4.20837i | 0.863087 | + | 0.169012i | ||||
\(621\) | −12.6409 | − | 1.32862i | −0.507264 | − | 0.0533156i | ||||
\(622\) | −1.05657 | − | 6.67089i | −0.0423644 | − | 0.267478i | ||||
\(623\) | 9.36446 | − | 25.8915i | 0.375179 | − | 1.03732i | ||||
\(624\) | 3.18760 | − | 1.03571i | 0.127606 | − | 0.0414617i | ||||
\(625\) | −13.8644 | − | 20.8033i | −0.554576 | − | 0.832133i | ||||
\(626\) | 17.3369 | + | 10.0094i | 0.692920 | + | 0.400058i | ||||
\(627\) | −29.6013 | + | 15.3160i | −1.18216 | + | 0.611662i | ||||
\(628\) | 8.35407 | + | 2.23847i | 0.333364 | + | 0.0893246i | ||||
\(629\) | −37.2407 | + | 27.0570i | −1.48489 | + | 1.07883i | ||||
\(630\) | −2.13402 | − | 0.860627i | −0.0850213 | − | 0.0342882i | ||||
\(631\) | −5.97384 | + | 18.3856i | −0.237815 | + | 0.731919i | 0.758921 | + | 0.651183i | \(0.225727\pi\) |
−0.996736 | + | 0.0807357i | \(0.974273\pi\) | |||||||
\(632\) | 2.85254 | + | 3.52259i | 0.113468 | + | 0.140121i | ||||
\(633\) | 2.44160 | − | 6.36059i | 0.0970450 | − | 0.252811i | ||||
\(634\) | 12.2940 | − | 11.0695i | 0.488255 | − | 0.439627i | ||||
\(635\) | −31.1458 | − | 37.2230i | −1.23598 | − | 1.47715i | ||||
\(636\) | 2.10415 | + | 2.89611i | 0.0834349 | + | 0.114838i | ||||
\(637\) | 13.7473 | + | 4.67145i | 0.544689 | + | 0.185089i | ||||
\(638\) | 4.78833 | + | 5.83824i | 0.189572 | + | 0.231138i | ||||
\(639\) | −0.200223 | + | 0.115599i | −0.00792070 | + | 0.00457302i | ||||
\(640\) | 0.0811429 | − | 2.23460i | 0.00320746 | − | 0.0883301i | ||||
\(641\) | −32.6793 | − | 6.94620i | −1.29076 | − | 0.274359i | −0.489144 | − | 0.872203i | \(-0.662691\pi\) |
−0.801612 | + | 0.597845i | \(0.796024\pi\) | |||||||
\(642\) | 18.5979 | + | 12.0776i | 0.733999 | + | 0.476665i | ||||
\(643\) | −44.8938 | + | 7.11048i | −1.77044 | + | 0.280410i | −0.954604 | − | 0.297877i | \(-0.903721\pi\) |
−0.815834 | + | 0.578287i | \(0.803721\pi\) | |||||||
\(644\) | 2.38805 | − | 5.65770i | 0.0941025 | − | 0.222945i | ||||
\(645\) | −6.32231 | − | 18.4445i | −0.248941 | − | 0.726253i | ||||
\(646\) | 27.7700 | − | 30.8417i | 1.09260 | − | 1.21345i | ||||
\(647\) | −4.02738 | + | 4.97339i | −0.158332 | + | 0.195524i | −0.850139 | − | 0.526559i | \(-0.823482\pi\) |
0.691806 | + | 0.722083i | \(0.256815\pi\) | |||||||
\(648\) | −7.42014 | + | 1.98822i | −0.291491 | + | 0.0781046i | ||||
\(649\) | −6.73921 | + | 32.7075i | −0.264537 | + | 1.28388i | ||||
\(650\) | −9.96122 | − | 2.88632i | −0.390711 | − | 0.113211i | ||||
\(651\) | 41.1159 | + | 7.90584i | 1.61146 | + | 0.309854i | ||||
\(652\) | 14.6240 | + | 7.45130i | 0.572720 | + | 0.291816i | ||||
\(653\) | 9.89764 | + | 6.42760i | 0.387325 | + | 0.251532i | 0.723582 | − | 0.690239i | \(-0.242494\pi\) |
−0.336257 | + | 0.941770i | \(0.609161\pi\) | |||||||
\(654\) | 0.971592 | − | 0.432580i | 0.0379922 | − | 0.0169152i | ||||
\(655\) | 43.8573 | + | 24.3902i | 1.71365 | + | 0.953006i | ||||
\(656\) | 0.191636 | + | 0.901576i | 0.00748212 | + | 0.0352006i | ||||
\(657\) | 0.153227 | − | 0.300725i | 0.00597796 | − | 0.0117324i | ||||
\(658\) | 13.0005 | + | 6.30824i | 0.506813 | + | 0.245921i | ||||
\(659\) | − | 44.9117i | − | 1.74951i | −0.484563 | − | 0.874756i | \(-0.661021\pi\) | ||
0.484563 | − | 0.874756i | \(-0.338979\pi\) | |||||||
\(660\) | −9.47892 | − | 7.33200i | −0.368966 | − | 0.285398i | ||||
\(661\) | 42.7940 | + | 24.7071i | 1.66449 | + | 0.960996i | 0.970528 | + | 0.240988i | \(0.0774715\pi\) |
0.693966 | + | 0.720008i | \(0.255862\pi\) | |||||||
\(662\) | −6.42439 | − | 5.20237i | −0.249691 | − | 0.202196i | ||||
\(663\) | 1.17059 | + | 22.3362i | 0.0454620 | + | 0.867467i | ||||
\(664\) | 4.60196 | − | 14.1634i | 0.178591 | − | 0.549645i | ||||
\(665\) | 17.8574 | + | 32.1675i | 0.692480 | + | 1.24740i | ||||
\(666\) | 2.17049 | + | 1.57695i | 0.0841046 | + | 0.0611056i | ||||
\(667\) | 2.87801 | − | 4.43175i | 0.111437 | − | 0.171598i | ||||
\(668\) | 8.47849 | − | 5.50600i | 0.328043 | − | 0.213033i | ||||
\(669\) | −14.3954 | + | 1.51302i | −0.556559 | + | 0.0584967i | ||||
\(670\) | 1.75930 | − | 4.12868i | 0.0679675 | − | 0.159505i | ||||
\(671\) | 24.4211 | + | 41.6956i | 0.942764 | + | 1.60964i | ||||
\(672\) | 0.140558 | − | 4.27290i | 0.00542215 | − | 0.164831i | ||||
\(673\) | 3.85144 | + | 0.610009i | 0.148462 | + | 0.0235141i | 0.230223 | − | 0.973138i | \(-0.426054\pi\) |
−0.0817609 | + | 0.996652i | \(0.526054\pi\) | |||||||
\(674\) | −6.19576 | − | 5.57869i | −0.238652 | − | 0.214883i | ||||
\(675\) | 25.8640 | + | 8.98616i | 0.995504 | + | 0.345877i | ||||
\(676\) | 7.94577 | − | 3.53769i | 0.305607 | − | 0.136065i | ||||
\(677\) | 29.4245 | − | 23.8275i | 1.13087 | − | 0.915764i | 0.133710 | − | 0.991021i | \(-0.457311\pi\) |
0.997164 | + | 0.0752569i | \(0.0239777\pi\) | |||||||
\(678\) | 3.23849 | + | 6.35590i | 0.124373 | + | 0.244097i | ||||
\(679\) | −6.33128 | − | 10.4889i | −0.242972 | − | 0.402527i | ||||
\(680\) | 14.2641 | + | 4.38266i | 0.547004 | + | 0.168067i | ||||
\(681\) | 19.8918 | + | 34.4536i | 0.762256 | + | 1.32027i | ||||
\(682\) | −29.0325 | − | 14.5653i | −1.11171 | − | 0.557736i | ||||
\(683\) | 46.3378 | − | 12.4162i | 1.77307 | − | 0.475092i | 0.783775 | − | 0.621045i | \(-0.213292\pi\) |
0.989292 | + | 0.145953i | \(0.0466248\pi\) | |||||||
\(684\) | −2.20970 | − | 0.983823i | −0.0844901 | − | 0.0376174i | ||||
\(685\) | 22.4789 | − | 3.93144i | 0.858875 | − | 0.150212i | ||||
\(686\) | 11.5676 | − | 14.4634i | 0.441653 | − | 0.552216i | ||||
\(687\) | −4.77114 | + | 0.755675i | −0.182030 | + | 0.0288308i | ||||
\(688\) | −4.19372 | + | 3.39601i | −0.159884 | + | 0.129472i | ||||
\(689\) | −3.07475 | − | 3.41485i | −0.117139 | − | 0.130096i | ||||
\(690\) | −2.87933 | + | 7.87683i | −0.109614 | + | 0.299866i | ||||
\(691\) | 11.8317 | − | 26.5744i | 0.450098 | − | 1.01094i | −0.535916 | − | 0.844272i | \(-0.680034\pi\) |
0.986014 | − | 0.166665i | \(-0.0532998\pi\) | |||||||
\(692\) | −2.72377 | − | 2.72377i | −0.103542 | − | 0.103542i | ||||
\(693\) | 2.70672 | + | 2.07894i | 0.102820 | + | 0.0789725i | ||||
\(694\) | 8.59718i | 0.326345i | ||||||||
\(695\) | 6.23773 | − | 1.43097i | 0.236611 | − | 0.0542797i | ||||
\(696\) | 0.764853 | − | 3.59835i | 0.0289917 | − | 0.136395i | ||||
\(697\) | −6.14258 | − | 0.321919i | −0.232667 | − | 0.0121935i | ||||
\(698\) | −5.99602 | − | 7.40447i | −0.226953 | − | 0.280263i | ||||
\(699\) | 30.1965 | + | 21.9391i | 1.14214 | + | 0.829811i | ||||
\(700\) | −7.78376 | + | 10.6964i | −0.294198 | + | 0.404286i | ||||
\(701\) | 10.9738 | + | 33.7739i | 0.414474 | + | 1.27562i | 0.912720 | + | 0.408585i | \(0.133978\pi\) |
−0.498246 | + | 0.867036i | \(0.666022\pi\) | |||||||
\(702\) | 10.6041 | − | 4.07052i | 0.400225 | − | 0.153632i | ||||
\(703\) | −11.1026 | − | 41.4355i | −0.418743 | − | 1.56277i | ||||
\(704\) | −1.00519 | + | 3.16063i | −0.0378847 | + | 0.119121i | ||||
\(705\) | −18.1546 | − | 7.73595i | −0.683741 | − | 0.291353i | ||||
\(706\) | 8.71194 | + | 11.9910i | 0.327878 | + | 0.451285i | ||||
\(707\) | 17.5268 | + | 16.8571i | 0.659164 | + | 0.633975i | ||||
\(708\) | 14.4967 | − | 7.38644i | 0.544819 | − | 0.277599i | ||||
\(709\) | 20.0135 | + | 2.10350i | 0.751623 | + | 0.0789988i | 0.472590 | − | 0.881283i | \(-0.343319\pi\) |
0.279033 | + | 0.960281i | \(0.409986\pi\) | |||||||
\(710\) | 0.364594 | + | 1.27819i | 0.0136830 | + | 0.0479696i | ||||
\(711\) | 1.17966 | + | 1.31015i | 0.0442408 | + | 0.0491344i | ||||
\(712\) | 10.3922 | − | 0.544633i | 0.389465 | − | 0.0204110i | ||||
\(713\) | −3.55600 | + | 22.4517i | −0.133173 | + | 0.840823i | ||||
\(714\) | 27.3004 | + | 8.28622i | 1.02169 | + | 0.310104i | ||||
\(715\) | 13.0846 | + | 8.08819i | 0.489335 | + | 0.302481i | ||||
\(716\) | −3.47677 | − | 6.02195i | −0.129933 | − | 0.225051i | ||||
\(717\) | 5.89796 | − | 7.28338i | 0.220263 | − | 0.272003i | ||||
\(718\) | 14.1670 | + | 21.8153i | 0.528708 | + | 0.814139i | ||||
\(719\) | 45.5545 | − | 9.68291i | 1.69890 | − | 0.361112i | 0.746362 | − | 0.665541i | \(-0.231799\pi\) |
0.952535 | + | 0.304429i | \(0.0984656\pi\) | |||||||
\(720\) | −0.0139701 | − | 0.869593i | −0.000520634 | − | 0.0324078i | ||||
\(721\) | −22.5945 | + | 2.82067i | −0.841464 | + | 0.105047i | ||||
\(722\) | 8.93240 | + | 17.5308i | 0.332429 | + | 0.652429i | ||||
\(723\) | 36.4952 | − | 1.91263i | 1.35727 | − | 0.0711315i | ||||
\(724\) | −2.32667 | − | 22.1368i | −0.0864700 | − | 0.822707i | ||||
\(725\) | −8.21027 | + | 7.88459i | −0.304922 | + | 0.292826i | ||||
\(726\) | 10.6263 | + | 14.2485i | 0.394378 | + | 0.528812i | ||||
\(727\) | 3.80637 | + | 3.80637i | 0.141170 | + | 0.141170i | 0.774160 | − | 0.632990i | \(-0.218173\pi\) |
−0.632990 | + | 0.774160i | \(0.718173\pi\) | |||||||
\(728\) | 0.393884 | + | 5.47364i | 0.0145983 | + | 0.202867i | ||||
\(729\) | −28.0885 | + | 9.12651i | −1.04031 | + | 0.338019i | ||||
\(730\) | −1.46265 | − | 1.27504i | −0.0541352 | − | 0.0471912i | ||||
\(731\) | −14.6473 | − | 32.8985i | −0.541751 | − | 1.21679i | ||||
\(732\) | 8.43676 | − | 21.9785i | 0.311832 | − | 0.812349i | ||||
\(733\) | 0.541672 | − | 0.834102i | 0.0200071 | − | 0.0308082i | −0.828526 | − | 0.559951i | \(-0.810820\pi\) |
0.848533 | + | 0.529143i | \(0.177487\pi\) | |||||||
\(734\) | −1.83916 | − | 5.66034i | −0.0678845 | − | 0.208927i | ||||
\(735\) | −14.8121 | + | 20.5015i | −0.546353 | + | 0.756208i | ||||
\(736\) | 2.32109 | 0.0855567 | ||||||||
\(737\) | −4.15678 | + | 5.19919i | −0.153117 | + | 0.191515i | ||||
\(738\) | 0.0927857 | + | 0.346281i | 0.00341549 | + | 0.0127468i | ||||
\(739\) | −21.8422 | + | 2.29571i | −0.803480 | + | 0.0844491i | −0.497360 | − | 0.867544i | \(-0.665697\pi\) |
−0.306119 | + | 0.951993i | \(0.599031\pi\) | |||||||
\(740\) | 11.8292 | − | 9.89793i | 0.434852 | − | 0.363855i | ||||
\(741\) | −19.8235 | − | 6.44104i | −0.728234 | − | 0.236618i | ||||
\(742\) | −5.43011 | + | 2.20670i | −0.199346 | + | 0.0810104i | ||||
\(743\) | 1.60065 | + | 10.1061i | 0.0587221 | + | 0.370757i | 0.999497 | + | 0.0317240i | \(0.0100998\pi\) |
−0.940775 | + | 0.339033i | \(0.889900\pi\) | |||||||
\(744\) | 3.29021 | + | 15.4792i | 0.120625 | + | 0.567496i | ||||
\(745\) | 3.99191 | + | 8.59183i | 0.146252 | + | 0.314780i | ||||
\(746\) | 0.951398 | + | 9.05195i | 0.0348331 | + | 0.331415i | ||||
\(747\) | 1.49914 | − | 5.59488i | 0.0548508 | − | 0.204706i | ||||
\(748\) | −18.6373 | − | 11.9386i | −0.681448 | − | 0.436517i | ||||
\(749\) | −26.5045 | + | 24.8163i | −0.968452 | + | 0.906767i | ||||
\(750\) | 9.90255 | − | 15.1103i | 0.361590 | − | 0.551751i | ||||
\(751\) | 0.690974 | − | 0.767404i | 0.0252140 | − | 0.0280030i | −0.730406 | − | 0.683013i | \(-0.760669\pi\) |
0.755620 | + | 0.655010i | \(0.227336\pi\) | |||||||
\(752\) | −0.285841 | + | 5.45416i | −0.0104235 | + | 0.198893i | ||||
\(753\) | −25.6320 | − | 9.83919i | −0.934081 | − | 0.358560i | ||||
\(754\) | −0.493599 | + | 4.69628i | −0.0179758 | + | 0.171029i | ||||
\(755\) | 7.90921 | + | 23.0741i | 0.287846 | + | 0.839754i | ||||
\(756\) | −0.282166 | − | 14.4857i | −0.0102623 | − | 0.526839i | ||||
\(757\) | −0.0896002 | + | 0.565713i | −0.00325657 | + | 0.0205612i | −0.989263 | − | 0.146145i | \(-0.953313\pi\) |
0.986007 | + | 0.166707i | \(0.0533133\pi\) | |||||||
\(758\) | 1.31892 | − | 4.92227i | 0.0479053 | − | 0.178785i | ||||
\(759\) | 7.24873 | − | 10.1091i | 0.263112 | − | 0.366935i | ||||
\(760\) | −8.57660 | + | 10.9462i | −0.311106 | + | 0.397059i | ||||
\(761\) | 2.15183 | − | 4.83308i | 0.0780037 | − | 0.175199i | −0.870334 | − | 0.492462i | \(-0.836097\pi\) |
0.948338 | + | 0.317263i | \(0.102764\pi\) | |||||||
\(762\) | 15.9229 | − | 31.2504i | 0.576825 | − | 1.13208i | ||||
\(763\) | 0.305857 | + | 1.71431i | 0.0110728 | + | 0.0620623i | ||||
\(764\) | −0.710544 | + | 0.977979i | −0.0257066 | + | 0.0353821i | ||||
\(765\) | 5.62955 | + | 1.41192i | 0.203537 | + | 0.0510479i | ||||
\(766\) | −23.7947 | + | 21.4249i | −0.859738 | + | 0.774112i | ||||
\(767\) | −17.5154 | + | 11.3746i | −0.632445 | + | 0.410714i | ||||
\(768\) | 1.50855 | − | 0.579078i | 0.0544351 | − | 0.0208957i | ||||
\(769\) | 25.3285 | 0.913368 | 0.456684 | − | 0.889629i | \(-0.349037\pi\) | ||||
0.456684 | + | 0.889629i | \(0.349037\pi\) | |||||||
\(770\) | 15.3785 | − | 12.1861i | 0.554203 | − | 0.439157i | ||||
\(771\) | −10.9322 | −0.393712 | ||||||||
\(772\) | 21.4356 | − | 8.22836i | 0.771484 | − | 0.296145i | ||||
\(773\) | −10.2515 | + | 6.65742i | −0.368722 | + | 0.239451i | −0.715678 | − | 0.698431i | \(-0.753882\pi\) |
0.346956 | + | 0.937881i | \(0.387215\pi\) | |||||||
\(774\) | −1.55976 | + | 1.40441i | −0.0560644 | + | 0.0504806i | ||||
\(775\) | 18.4696 | − | 45.3506i | 0.663448 | − | 1.62904i | ||||
\(776\) | 2.72184 | − | 3.74629i | 0.0977084 | − | 0.134484i | ||||
\(777\) | 22.5520 | − | 19.0012i | 0.809048 | − | 0.681666i | ||||
\(778\) | −10.3094 | + | 20.2333i | −0.369609 | + | 0.725398i | ||||
\(779\) | 2.33146 | − | 5.23655i | 0.0835332 | − | 0.187619i | ||||
\(780\) | −0.903010 | − | 7.43988i | −0.0323330 | − | 0.266391i | ||||
\(781\) | −0.0122997 | − | 1.97144i | −0.000440118 | − | 0.0705438i | ||||
\(782\) | −4.00901 | + | 14.9618i | −0.143362 | + | 0.535034i | ||||
\(783\) | 1.95028 | − | 12.3136i | 0.0696972 | − | 0.440051i | ||||
\(784\) | 6.73658 | + | 1.90222i | 0.240592 | + | 0.0679364i | ||||
\(785\) | 8.50191 | − | 17.3702i | 0.303446 | − | 0.619969i | ||||
\(786\) | −3.79067 | + | 36.0658i | −0.135209 | + | 1.28642i | ||||
\(787\) | 34.9966 | + | 13.4339i | 1.24749 | + | 0.478868i | 0.890390 | − | 0.455198i | \(-0.150431\pi\) |
0.357102 | + | 0.934065i | \(0.383765\pi\) | |||||||
\(788\) | 0.0645728 | − | 1.23212i | 0.00230031 | − | 0.0438926i | ||||
\(789\) | 12.4270 | − | 13.8015i | 0.442411 | − | 0.491348i | ||||
\(790\) | 8.95571 | − | 4.74588i | 0.318630 | − | 0.168851i | ||||
\(791\) | −11.3751 | + | 2.65041i | −0.404454 | + | 0.0942378i | ||||
\(792\) | −0.326091 | + | 1.24808i | −0.0115872 | + | 0.0443488i | ||||
\(793\) | −7.82138 | + | 29.1898i | −0.277745 | + | 1.03656i | ||||
\(794\) | −3.29454 | − | 31.3454i | −0.116919 | − | 1.11241i | ||||
\(795\) | 7.25938 | − | 3.37283i | 0.257464 | − | 0.119622i | ||||
\(796\) | 2.65884 | + | 12.5088i | 0.0942400 | + | 0.443364i | ||||
\(797\) | −3.94425 | − | 24.9030i | −0.139712 | − | 0.882110i | −0.953598 | − | 0.301084i | \(-0.902652\pi\) |
0.813885 | − | 0.581026i | \(-0.197348\pi\) | |||||||
\(798\) | −16.3263 | + | 20.9841i | −0.577946 | + | 0.742830i | ||||
\(799\) | −34.6640 | − | 11.2630i | −1.22632 | − | 0.398457i | ||||
\(800\) | −4.86871 | − | 1.13829i | −0.172135 | − | 0.0402447i | ||||
\(801\) | 4.02536 | − | 0.423083i | 0.142229 | − | 0.0149489i | ||||
\(802\) | 0.836214 | + | 3.12079i | 0.0295277 | + | 0.110199i | ||||
\(803\) | 1.58253 | + | 2.40391i | 0.0558461 | + | 0.0848321i | ||||
\(804\) | 3.24313 | 0.114376 | ||||||||
\(805\) | −11.3890 | − | 7.67150i | −0.401410 | − | 0.270385i | ||||
\(806\) | −6.27723 | − | 19.3193i | −0.221106 | − | 0.680494i | ||||
\(807\) | 3.53767 | − | 5.44754i | 0.124532 | − | 0.191762i | ||||
\(808\) | −3.29384 | + | 8.58075i | −0.115877 | + | 0.301870i | ||||
\(809\) | −1.72662 | − | 3.87806i | −0.0607048 | − | 0.136345i | 0.880646 | − | 0.473775i | \(-0.157109\pi\) |
−0.941351 | + | 0.337430i | \(0.890442\pi\) | |||||||
\(810\) | 1.17441 | + | 17.1370i | 0.0412646 | + | 0.602134i | ||||
\(811\) | −19.6063 | + | 6.37049i | −0.688472 | + | 0.223698i | −0.632301 | − | 0.774723i | \(-0.717889\pi\) |
−0.0561711 | + | 0.998421i | \(0.517889\pi\) | |||||||
\(812\) | 5.41911 | + | 2.62952i | 0.190173 | + | 0.0922780i | ||||
\(813\) | 34.7432 | + | 34.7432i | 1.21850 | + | 1.21850i | ||||
\(814\) | −20.8412 | + | 9.43533i | −0.730483 | + | 0.330708i | ||||
\(815\) | 22.6352 | − | 28.8889i | 0.792875 | − | 1.01193i | ||||
\(816\) | 1.12717 | + | 10.7243i | 0.0394590 | + | 0.375427i | ||||
\(817\) | 33.5134 | − | 1.75636i | 1.17249 | − | 0.0614473i | ||||
\(818\) | −4.03139 | − | 7.91205i | −0.140954 | − | 0.276638i | ||||
\(819\) | 0.264409 | + | 2.11800i | 0.00923919 | + | 0.0740090i | ||||
\(820\) | 2.06076 | − | 0.0331062i | 0.0719648 | − | 0.00115612i | ||||
\(821\) | 38.6755 | − | 8.22072i | 1.34978 | − | 0.286905i | 0.524397 | − | 0.851474i | \(-0.324291\pi\) |
0.825386 | + | 0.564569i | \(0.190957\pi\) | |||||||
\(822\) | 8.98151 | + | 13.8303i | 0.313266 | + | 0.482388i | ||||
\(823\) | −17.7795 | + | 21.9558i | −0.619753 | + | 0.765331i | −0.986281 | − | 0.165076i | \(-0.947213\pi\) |
0.366528 | + | 0.930407i | \(0.380546\pi\) | |||||||
\(824\) | −4.30311 | − | 7.45320i | −0.149906 | − | 0.259645i | ||||
\(825\) | −20.1625 | + | 17.6498i | −0.701967 | + | 0.614487i | ||||
\(826\) | 6.04513 | + | 25.9447i | 0.210337 | + | 0.902733i | ||||
\(827\) | −3.42954 | + | 21.6533i | −0.119257 | + | 0.752958i | 0.853494 | + | 0.521103i | \(0.174479\pi\) |
−0.972750 | + | 0.231855i | \(0.925521\pi\) | |||||||
\(828\) | 0.901538 | − | 0.0472476i | 0.0313306 | − | 0.00164197i | ||||
\(829\) | −28.2469 | − | 31.3714i | −0.981056 | − | 1.08957i | −0.995970 | − | 0.0896842i | \(-0.971414\pi\) |
0.0149143 | − | 0.999889i | \(-0.495252\pi\) | |||||||
\(830\) | −29.1024 | − | 16.1847i | −1.01016 | − | 0.561777i | ||||
\(831\) | 17.6540 | + | 1.85551i | 0.612412 | + | 0.0643671i | ||||
\(832\) | −1.84812 | + | 0.941663i | −0.0640720 | + | 0.0326463i | ||||
\(833\) | −23.8972 | + | 40.1387i | −0.827990 | + | 1.39072i | ||||
\(834\) | 2.71835 | + | 3.74149i | 0.0941288 | + | 0.129557i | ||||
\(835\) | −8.43900 | − | 20.9711i | −0.292044 | − | 0.725735i | ||||
\(836\) | 16.6108 | − | 12.2275i | 0.574495 | − | 0.422896i | ||||
\(837\) | 13.8805 | + | 51.8028i | 0.479781 | + | 1.79057i | ||||
\(838\) | −3.47094 | + | 1.33237i | −0.119902 | + | 0.0460260i | ||||
\(839\) | 16.3244 | + | 50.2412i | 0.563579 | + | 1.73452i | 0.672135 | + | 0.740429i | \(0.265377\pi\) |
−0.108555 | + | 0.994090i | \(0.534623\pi\) | |||||||
\(840\) | −9.31600 | − | 2.14455i | −0.321433 | − | 0.0739941i | ||||
\(841\) | −19.2683 | − | 13.9993i | −0.664426 | − | 0.482734i | ||||
\(842\) | −21.1955 | − | 26.1743i | −0.730446 | − | 0.902026i | ||||
\(843\) | 18.8564 | + | 0.988224i | 0.649450 | + | 0.0340362i | ||||
\(844\) | −0.876630 | + | 4.12422i | −0.0301749 | + | 0.141962i | ||||
\(845\) | −4.34867 | − | 18.9563i | −0.149599 | − | 0.652117i | ||||
\(846\) | 2.12427i | 0.0730341i | ||||||||
\(847\) | −26.8232 | + | 11.2924i | −0.921654 | + | 0.388012i | ||||
\(848\) | −1.56652 | − | 1.56652i | −0.0537944 | − | 0.0537944i | ||||
\(849\) | 4.60511 | − | 10.3432i | 0.158047 | − | 0.354979i | ||||
\(850\) | 15.7467 | − | 29.4177i | 0.540108 | − | 1.00902i | ||||
\(851\) | 10.7131 | + | 11.8981i | 0.367241 | + | 0.407862i | ||||
\(852\) | −0.746461 | + | 0.604472i | −0.0255733 | + | 0.0207089i | ||||
\(853\) | −30.6560 | + | 4.85543i | −1.04964 | + | 0.166247i | −0.657343 | − | 0.753592i | \(-0.728320\pi\) |
−0.392298 | + | 0.919838i | \(0.628320\pi\) | |||||||
\(854\) | 31.6203 | + | 22.0456i | 1.08202 | + | 0.754384i | ||||
\(855\) | −3.10843 | + | 4.42619i | −0.106306 | + | 0.151373i | ||||
\(856\) | −12.5370 | − | 5.58184i | −0.428506 | − | 0.190783i | ||||
\(857\) | −9.78103 | + | 2.62082i | −0.334114 | + | 0.0895254i | −0.421976 | − | 0.906607i | \(-0.638663\pi\) |
0.0878621 | + | 0.996133i | \(0.471997\pi\) | |||||||
\(858\) | −1.67041 | + | 10.9899i | −0.0570269 | + | 0.375189i | ||||
\(859\) | −17.6790 | − | 30.6209i | −0.603199 | − | 1.04477i | −0.992333 | − | 0.123591i | \(-0.960559\pi\) |
0.389134 | − | 0.921181i | \(-0.372774\pi\) | |||||||
\(860\) | 5.65008 | + | 10.6620i | 0.192666 | + | 0.363570i | ||||
\(861\) | 3.93979 | − | 0.0767428i | 0.134268 | − | 0.00261539i | ||||
\(862\) | −2.84567 | − | 5.58494i | −0.0969240 | − | 0.190224i | ||||
\(863\) | 0.817696 | − | 0.662157i | 0.0278347 | − | 0.0225401i | −0.615302 | − | 0.788291i | \(-0.710966\pi\) |
0.643137 | + | 0.765751i | \(0.277633\pi\) | |||||||
\(864\) | 5.00268 | − | 2.22734i | 0.170195 | − | 0.0757755i | ||||
\(865\) | −7.14744 | + | 4.80657i | −0.243020 | + | 0.163428i | ||||
\(866\) | −9.36743 | − | 8.43447i | −0.318318 | − | 0.286615i | ||||
\(867\) | −43.9446 | − | 6.96014i | −1.49244 | − | 0.236379i | ||||
\(868\) | −25.8971 | − | 0.851892i | −0.879004 | − | 0.0289151i | ||||
\(869\) | −14.6851 | + | 3.21729i | −0.498156 | + | 0.109139i | ||||
\(870\) | −7.56752 | − | 3.22464i | −0.256563 | − | 0.109326i | ||||
\(871\) | −4.14018 | + | 0.435151i | −0.140285 | + | 0.0147445i | ||||
\(872\) | −0.551997 | + | 0.358471i | −0.0186930 | + | 0.0121394i | ||||
\(873\) | 0.980934 | − | 1.51051i | 0.0331996 | − | 0.0511229i | ||||
\(874\) | −11.6780 | − | 8.48454i | −0.395013 | − | 0.286994i | ||||
\(875\) | 20.1273 | + | 21.6770i | 0.680428 | + | 0.732815i | ||||
\(876\) | 0.433303 | − | 1.33357i | 0.0146400 | − | 0.0450572i | ||||
\(877\) | 0.734735 | + | 14.0196i | 0.0248102 | + | 0.473407i | 0.982576 | + | 0.185859i | \(0.0595068\pi\) |
−0.957766 | + | 0.287548i | \(0.907160\pi\) | |||||||
\(878\) | −13.8881 | − | 11.2463i | −0.468699 | − | 0.379545i | ||||
\(879\) | 11.5967 | + | 6.69535i | 0.391147 | + | 0.225829i | ||||
\(880\) | 6.50371 | + | 3.56395i | 0.219240 | + | 0.120141i | ||||
\(881\) | − | 36.9388i | − | 1.24450i | −0.782819 | − | 0.622249i | \(-0.786219\pi\) | ||
0.782819 | − | 0.622249i | \(-0.213781\pi\) | |||||||
\(882\) | 2.65528 | + | 0.601714i | 0.0894080 | + | 0.0202608i | ||||
\(883\) | 17.6554 | − | 34.6506i | 0.594151 | − | 1.16609i | −0.376685 | − | 0.926342i | \(-0.622936\pi\) |
0.970836 | − | 0.239746i | \(-0.0770640\pi\) | |||||||
\(884\) | −2.87790 | − | 13.5395i | −0.0967943 | − | 0.455381i | ||||
\(885\) | −9.97932 | − | 34.9854i | −0.335451 | − | 1.17602i | ||||
\(886\) | −2.62805 | + | 1.17008i | −0.0882912 | + | 0.0393098i | ||||
\(887\) | 17.7528 | + | 11.5288i | 0.596082 | + | 0.387100i | 0.807128 | − | 0.590376i | \(-0.201020\pi\) |
−0.211046 | + | 0.977476i | \(0.567687\pi\) | |||||||
\(888\) | 9.93119 | + | 5.06019i | 0.333269 | + | 0.169809i | ||||
\(889\) | 43.4168 | + | 37.5877i | 1.45615 | + | 1.26065i | ||||
\(890\) | 3.27052 | − | 23.0386i | 0.109628 | − | 0.772256i | ||||
\(891\) | 5.14158 | − | 24.9538i | 0.172249 | − | 0.835982i | ||||
\(892\) | 8.65258 | − | 2.31845i | 0.289710 | − | 0.0776275i | ||||
\(893\) | 21.3753 | − | 26.3963i | 0.715297 | − | 0.883319i | ||||
\(894\) | −4.58103 | + | 5.08775i | −0.153213 | + | 0.170160i | ||||
\(895\) | −14.7085 | + | 5.04169i | −0.491651 | + | 0.168525i | ||||
\(896\) | 0.327748 | + | 2.62537i | 0.0109493 | + | 0.0877075i | ||||
\(897\) | 7.68368 | − | 1.21698i | 0.256551 | − | 0.0406336i | ||||
\(898\) | 20.6748 | + | 13.4264i | 0.689928 | + | 0.448044i | ||||
\(899\) | −21.8088 | − | 4.63561i | −0.727365 | − | 0.154606i | ||||
\(900\) | −1.91423 | − | 0.343018i | −0.0638076 | − | 0.0114339i | ||||
\(901\) | 12.8035 | − | 7.39210i | 0.426546 | − | 0.246267i | ||||
\(902\) | −2.95771 | − | 0.772770i | −0.0984808 | − | 0.0257304i | ||||
\(903\) | 10.8721 | + | 20.3480i | 0.361800 | + | 0.677138i | ||||
\(904\) | −2.59482 | − | 3.57146i | −0.0863023 | − | 0.118785i | ||||
\(905\) | −49.5765 | − | 4.40681i | −1.64798 | − | 0.146487i | ||||
\(906\) | −13.0992 | + | 11.7946i | −0.435192 | + | 0.391848i | ||||
\(907\) | −11.5898 | + | 30.1925i | −0.384834 | + | 1.00253i | 0.595180 | + | 0.803593i | \(0.297081\pi\) |
−0.980013 | + | 0.198933i | \(0.936252\pi\) | |||||||
\(908\) | −15.4942 | − | 19.1337i | −0.514192 | − | 0.634974i | ||||
\(909\) | −1.10470 | + | 3.39990i | −0.0366404 | + | 0.112768i | ||||
\(910\) | 12.1806 | + | 1.48775i | 0.403782 | + | 0.0493185i | ||||
\(911\) | −4.88636 | + | 3.55014i | −0.161892 | + | 0.117622i | −0.665782 | − | 0.746147i | \(-0.731902\pi\) |
0.503890 | + | 0.863768i | \(0.331902\pi\) | |||||||
\(912\) | −9.70663 | − | 2.60089i | −0.321419 | − | 0.0861239i | ||||
\(913\) | 35.1426 | + | 34.7068i | 1.16305 | + | 1.14863i | ||||
\(914\) | 7.05999 | + | 4.07609i | 0.233524 | + | 0.134825i | ||||
\(915\) | −44.6041 | − | 27.9580i | −1.47457 | − | 0.924262i | ||||
\(916\) | 2.84316 | − | 0.923797i | 0.0939405 | − | 0.0305231i | ||||
\(917\) | −55.8376 | − | 20.1954i | −1.84392 | − | 0.666910i | ||||
\(918\) | 5.71680 | + | 36.0945i | 0.188683 | + | 1.19130i | ||||
\(919\) | 8.31276 | + | 0.873706i | 0.274213 | + | 0.0288209i | 0.240637 | − | 0.970615i | \(-0.422644\pi\) |
0.0335760 | + | 0.999436i | \(0.489310\pi\) | |||||||
\(920\) | 0.997401 | − | 5.09339i | 0.0328833 | − | 0.167924i | ||||
\(921\) | −46.7589 | − | 9.93892i | −1.54076 | − | 0.327499i | ||||
\(922\) | 2.14501 | + | 5.58794i | 0.0706421 | + | 0.184029i | ||||
\(923\) | 0.871827 | − | 0.871827i | 0.0286965 | − | 0.0286965i | ||||
\(924\) | 12.4578 | + | 6.77155i | 0.409832 | + | 0.222767i | ||||
\(925\) | −16.6368 | − | 30.2112i | −0.547013 | − | 0.993339i | ||||
\(926\) | 3.71568 | + | 1.65433i | 0.122105 | + | 0.0543645i | ||||
\(927\) | −1.82309 | − | 2.80731i | −0.0598781 | − | 0.0922042i | ||||
\(928\) | −0.119149 | + | 2.27350i | −0.00391127 | + | 0.0746314i | ||||
\(929\) | 5.21654 | − | 49.6321i | 0.171149 | − | 1.62837i | −0.485541 | − | 0.874214i | \(-0.661377\pi\) |
0.656690 | − | 0.754161i | \(-0.271956\pi\) | |||||||
\(930\) | 35.3813 | − | 0.568403i | 1.16020 | − | 0.0186387i | ||||
\(931\) | −26.9399 | − | 34.1954i | −0.882921 | − | 1.12071i | ||||
\(932\) | −20.5813 | − | 10.4867i | −0.674162 | − | 0.343502i | ||||
\(933\) | −3.91112 | − | 10.1888i | −0.128044 | − | 0.333567i | ||||
\(934\) | −7.94774 | + | 13.7659i | −0.260058 | + | 0.450433i | ||||
\(935\) | −34.2066 | + | 35.7674i | −1.11867 | + | 1.16972i | ||||
\(936\) | −0.698661 | + | 0.403372i | −0.0228364 | + | 0.0131846i | ||||
\(937\) | 24.4361 | + | 3.87030i | 0.798293 | + | 0.126437i | 0.542238 | − | 0.840225i | \(-0.317577\pi\) |
0.256055 | + | 0.966662i | \(0.417577\pi\) | |||||||
\(938\) | −1.27421 | + | 5.15499i | −0.0416045 | + | 0.168316i | ||||
\(939\) | 30.7648 | + | 9.99609i | 1.00397 | + | 0.326210i | ||||
\(940\) | 11.8457 | + | 2.97096i | 0.386365 | + | 0.0969021i | ||||
\(941\) | 11.9404 | + | 26.8186i | 0.389246 | + | 0.874261i | 0.996796 | + | 0.0799796i | \(0.0254855\pi\) |
−0.607551 | + | 0.794281i | \(0.707848\pi\) | |||||||
\(942\) | 13.9562 | + | 0.731413i | 0.454717 | + | 0.0238307i | ||||
\(943\) | 0.111967 | + | 2.13646i | 0.00364615 | + | 0.0695728i | ||||
\(944\) | −8.14587 | + | 5.91832i | −0.265126 | + | 0.192625i | ||||
\(945\) | −31.9085 | − | 5.60549i | −1.03798 | − | 0.182347i | ||||
\(946\) | −3.83026 | − | 17.4829i | −0.124532 | − | 0.568418i | ||||
\(947\) | −32.5421 | − | 8.71963i | −1.05748 | − | 0.283350i | −0.312139 | − | 0.950037i | \(-0.601045\pi\) |
−0.745338 | + | 0.666687i | \(0.767712\pi\) | |||||||
\(948\) | 5.69207 | + | 4.60935i | 0.184870 | + | 0.149705i | ||||
\(949\) | −0.374222 | + | 1.76058i | −0.0121478 | + | 0.0571507i | ||||
\(950\) | 20.3347 | + | 23.5241i | 0.659744 | + | 0.763223i | ||||
\(951\) | 15.7125 | − | 21.6264i | 0.509512 | − | 0.701284i | ||||
\(952\) | −17.4893 | − | 2.42189i | −0.566832 | − | 0.0784939i | ||||
\(953\) | 13.5699 | − | 6.91419i | 0.439571 | − | 0.223972i | −0.220177 | − | 0.975460i | \(-0.570663\pi\) |
0.659747 | + | 0.751488i | \(0.270663\pi\) | |||||||
\(954\) | −0.640339 | − | 0.576564i | −0.0207318 | − | 0.0186670i | ||||
\(955\) | 1.84074 | + | 1.97946i | 0.0595649 | + | 0.0640538i | ||||
\(956\) | −2.89996 | + | 5.02288i | −0.0937914 | + | 0.162452i | ||||
\(957\) | 9.52968 | + | 7.61903i | 0.308051 | + | 0.246288i | ||||
\(958\) | 24.3459 | − | 24.3459i | 0.786581 | − | 0.786581i | ||||
\(959\) | −25.5122 | + | 8.84234i | −0.823833 | + | 0.285534i | ||||
\(960\) | −0.622482 | − | 3.55918i | −0.0200905 | − | 0.114872i | ||||
\(961\) | 63.4936 | − | 13.4960i | 2.04818 | − | 0.435354i | ||||
\(962\) | −13.3571 | − | 5.12732i | −0.430651 | − | 0.165311i | ||||
\(963\) | −4.98313 | − | 1.91285i | −0.160579 | − | 0.0616406i | ||||
\(964\) | −22.1222 | + | 4.70221i | −0.712507 | + | 0.151448i | ||||
\(965\) | −8.84510 | − | 50.5739i | −0.284734 | − | 1.62803i | ||||
\(966\) | 1.87372 | − | 9.74465i | 0.0602858 | − | 0.313529i | ||||
\(967\) | −14.7022 | + | 14.7022i | −0.472790 | + | 0.472790i | −0.902816 | − | 0.430026i | \(-0.858504\pi\) |
0.430026 | + | 0.902816i | \(0.358504\pi\) | |||||||
\(968\) | −7.87462 | − | 7.68052i | −0.253100 | − | 0.246861i | ||||
\(969\) | 33.5307 | − | 58.0770i | 1.07716 | − | 1.86570i | ||||
\(970\) | −7.05122 | − | 7.58260i | −0.226401 | − | 0.243463i | ||||
\(971\) | 4.04531 | + | 3.64241i | 0.129820 | + | 0.116891i | 0.731483 | − | 0.681859i | \(-0.238828\pi\) |
−0.601663 | + | 0.798750i | \(0.705495\pi\) | |||||||
\(972\) | 3.57771 | − | 1.82293i | 0.114755 | − | 0.0584706i | ||||
\(973\) | −7.01516 | + | 2.85083i | −0.224896 | + | 0.0913935i | ||||
\(974\) | −20.3478 | + | 28.0063i | −0.651985 | + | 0.897381i | ||||
\(975\) | −16.7140 | − | 1.21545i | −0.535278 | − | 0.0389255i | ||||
\(976\) | −3.02913 | + | 14.2509i | −0.0969600 | + | 0.456161i | ||||
\(977\) | −18.0886 | − | 14.6479i | −0.578707 | − | 0.468627i | 0.294720 | − | 0.955584i | \(-0.404774\pi\) |
−0.873426 | + | 0.486956i | \(0.838107\pi\) | |||||||
\(978\) | 25.6175 | + | 6.86420i | 0.819158 | + | 0.219493i | ||||
\(979\) | −13.8413 | + | 31.6174i | −0.442369 | + | 1.01050i | ||||
\(980\) | 7.06900 | − | 13.9653i | 0.225811 | − | 0.446105i | ||||
\(981\) | −0.207105 | + | 0.150470i | −0.00661235 | + | 0.00480415i | ||||
\(982\) | 1.34386 | + | 25.6424i | 0.0428844 | + | 0.818282i | ||||
\(983\) | −45.0347 | − | 2.36017i | −1.43638 | − | 0.0752777i | −0.681827 | − | 0.731513i | \(-0.738814\pi\) |
−0.754556 | + | 0.656235i | \(0.772148\pi\) | |||||||
\(984\) | 0.605786 | + | 1.36062i | 0.0193118 | + | 0.0433749i | ||||
\(985\) | −2.67601 | − | 0.671156i | −0.0852648 | − | 0.0213848i | ||||
\(986\) | −14.4493 | − | 4.69485i | −0.460158 | − | 0.149515i | ||||
\(987\) | 22.6675 | + | 5.60295i | 0.721514 | + | 0.178344i | ||||
\(988\) | 12.7405 | + | 2.01789i | 0.405328 | + | 0.0641977i | ||||
\(989\) | −10.8473 | + | 6.26268i | −0.344923 | + | 0.199142i | ||||
\(990\) | 2.59866 | + | 1.25189i | 0.0825908 | + | 0.0397876i | ||||
\(991\) | 14.3744 | − | 24.8972i | 0.456618 | − | 0.790885i | −0.542162 | − | 0.840274i | \(-0.682394\pi\) |
0.998780 | + | 0.0493891i | \(0.0157274\pi\) | |||||||
\(992\) | −3.50967 | − | 9.14299i | −0.111432 | − | 0.290290i | ||||
\(993\) | −11.9020 | − | 6.06435i | −0.377697 | − | 0.192446i | ||||
\(994\) | −0.667533 | − | 1.42400i | −0.0211729 | − | 0.0451666i | ||||
\(995\) | 28.5918 | − | 0.459329i | 0.906421 | − | 0.0145617i | ||||
\(996\) | 2.51538 | − | 23.9322i | 0.0797027 | − | 0.758321i | ||||
\(997\) | −1.81876 | + | 34.7041i | −0.0576008 | + | 1.09909i | 0.805023 | + | 0.593243i | \(0.202153\pi\) |
−0.862624 | + | 0.505846i | \(0.831180\pi\) | |||||||
\(998\) | −0.0949437 | − | 0.146201i | −0.00300539 | − | 0.00462790i | ||||
\(999\) | 34.5076 | + | 15.3638i | 1.09177 | + | 0.486088i |
(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 | 770.2.bv.a.3.8 | ✓ | 768 | |
5.2 | odd | 4 | inner | 770.2.bv.a.157.17 | yes | 768 | |
7.5 | odd | 6 | inner | 770.2.bv.a.663.41 | yes | 768 | |
11.4 | even | 5 | inner | 770.2.bv.a.213.17 | yes | 768 | |
35.12 | even | 12 | inner | 770.2.bv.a.47.17 | yes | 768 | |
55.37 | odd | 20 | inner | 770.2.bv.a.367.41 | yes | 768 | |
77.26 | odd | 30 | inner | 770.2.bv.a.103.17 | yes | 768 | |
385.257 | even | 60 | inner | 770.2.bv.a.257.8 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.bv.a.3.8 | ✓ | 768 | 1.1 | even | 1 | trivial | |
770.2.bv.a.47.17 | yes | 768 | 35.12 | even | 12 | inner | |
770.2.bv.a.103.17 | yes | 768 | 77.26 | odd | 30 | inner | |
770.2.bv.a.157.17 | yes | 768 | 5.2 | odd | 4 | inner | |
770.2.bv.a.213.17 | yes | 768 | 11.4 | even | 5 | inner | |
770.2.bv.a.257.8 | yes | 768 | 385.257 | even | 60 | inner | |
770.2.bv.a.367.41 | yes | 768 | 55.37 | odd | 20 | inner | |
770.2.bv.a.663.41 | yes | 768 | 7.5 | odd | 6 | inner |