Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(22,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.k (of order \(3\), degree \(2\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.771147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - x^{5} + 5x^{4} + 6x^{3} + 15x^{2} + 4x + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 211.1 | ||
Root | \(-0.136945 - 0.237196i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 273.211 |
Dual form | 273.2.k.d.22.1 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.825547 | − | 1.42989i | −0.583750 | − | 1.01108i | −0.995030 | − | 0.0995752i | \(-0.968252\pi\) |
0.411280 | − | 0.911509i | \(-0.365082\pi\) | |||||||
\(3\) | 0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | ||||
\(4\) | −0.363055 | + | 0.628829i | −0.181527 | + | 0.314415i | ||||
\(5\) | 2.92498 | 1.30809 | 0.654046 | − | 0.756455i | \(-0.273070\pi\) | ||||
0.654046 | + | 0.756455i | \(0.273070\pi\) | |||||||
\(6\) | 0.825547 | − | 1.42989i | 0.337028 | − | 0.583750i | ||||
\(7\) | 0.500000 | − | 0.866025i | 0.188982 | − | 0.327327i | ||||
\(8\) | −2.10331 | −0.743633 | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | −2.41471 | − | 4.18240i | −0.763599 | − | 1.32259i | ||||
\(11\) | 2.18860 | + | 3.79077i | 0.659888 | + | 1.14296i | 0.980644 | + | 0.195798i | \(0.0627297\pi\) |
−0.320756 | + | 0.947162i | \(0.603937\pi\) | |||||||
\(12\) | −0.726109 | −0.209610 | ||||||||
\(13\) | 2.56580 | − | 2.53311i | 0.711626 | − | 0.702558i | ||||
\(14\) | −1.65109 | −0.441273 | ||||||||
\(15\) | 1.46249 | + | 2.53311i | 0.377614 | + | 0.654046i | ||||
\(16\) | 2.46249 | + | 4.26516i | 0.615623 | + | 1.06629i | ||||
\(17\) | −1.82555 | + | 3.16194i | −0.442760 | + | 0.766883i | −0.997893 | − | 0.0648786i | \(-0.979334\pi\) |
0.555133 | + | 0.831762i | \(0.312667\pi\) | |||||||
\(18\) | 1.65109 | 0.389166 | ||||||||
\(19\) | 2.87720 | − | 4.98346i | 0.660076 | − | 1.14328i | −0.320520 | − | 0.947242i | \(-0.603858\pi\) |
0.980595 | − | 0.196043i | \(-0.0628091\pi\) | |||||||
\(20\) | −1.06193 | + | 1.83932i | −0.237455 | + | 0.411283i | ||||
\(21\) | 1.00000 | 0.218218 | ||||||||
\(22\) | 3.61359 | − | 6.25891i | 0.770419 | − | 1.33440i | ||||
\(23\) | −3.51415 | − | 6.08668i | −0.732751 | − | 1.26916i | −0.955703 | − | 0.294332i | \(-0.904903\pi\) |
0.222953 | − | 0.974829i | \(-0.428430\pi\) | |||||||
\(24\) | −1.05166 | − | 1.82152i | −0.214668 | − | 0.371817i | ||||
\(25\) | 3.55553 | 0.711106 | ||||||||
\(26\) | −5.74026 | − | 1.57761i | −1.12576 | − | 0.309396i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 0.363055 | + | 0.628829i | 0.0686109 | + | 0.118838i | ||||
\(29\) | −0.599437 | − | 1.03826i | −0.111313 | − | 0.192799i | 0.804987 | − | 0.593292i | \(-0.202172\pi\) |
−0.916300 | + | 0.400493i | \(0.868839\pi\) | |||||||
\(30\) | 2.41471 | − | 4.18240i | 0.440864 | − | 0.763599i | ||||
\(31\) | −6.47277 | −1.16254 | −0.581271 | − | 0.813710i | \(-0.697445\pi\) | ||||
−0.581271 | + | 0.813710i | \(0.697445\pi\) | |||||||
\(32\) | 1.96249 | − | 3.39914i | 0.346923 | − | 0.600888i | ||||
\(33\) | −2.18860 | + | 3.79077i | −0.380987 | + | 0.659888i | ||||
\(34\) | 6.02830 | 1.03384 | ||||||||
\(35\) | 1.46249 | − | 2.53311i | 0.247206 | − | 0.428174i | ||||
\(36\) | −0.363055 | − | 0.628829i | −0.0605091 | − | 0.104805i | ||||
\(37\) | 1.46249 | + | 2.53311i | 0.240432 | + | 0.416441i | 0.960837 | − | 0.277113i | \(-0.0893775\pi\) |
−0.720405 | + | 0.693553i | \(0.756044\pi\) | |||||||
\(38\) | −9.50106 | −1.54128 | ||||||||
\(39\) | 3.47664 | + | 0.955496i | 0.556708 | + | 0.153002i | ||||
\(40\) | −6.15215 | −0.972741 | ||||||||
\(41\) | 4.30219 | + | 7.45161i | 0.671889 | + | 1.16375i | 0.977368 | + | 0.211547i | \(0.0678500\pi\) |
−0.305479 | + | 0.952199i | \(0.598817\pi\) | |||||||
\(42\) | −0.825547 | − | 1.42989i | −0.127385 | − | 0.220637i | ||||
\(43\) | 2.86305 | − | 4.95896i | 0.436612 | − | 0.756234i | −0.560814 | − | 0.827942i | \(-0.689512\pi\) |
0.997426 | + | 0.0717081i | \(0.0228450\pi\) | |||||||
\(44\) | −3.17833 | −0.479151 | ||||||||
\(45\) | −1.46249 | + | 2.53311i | −0.218015 | + | 0.377614i | ||||
\(46\) | −5.80219 | + | 10.0497i | −0.855486 | + | 1.48174i | ||||
\(47\) | −9.58383 | −1.39794 | −0.698972 | − | 0.715149i | \(-0.746359\pi\) | ||||
−0.698972 | + | 0.715149i | \(0.746359\pi\) | |||||||
\(48\) | −2.46249 | + | 4.26516i | −0.355430 | + | 0.615623i | ||||
\(49\) | −0.500000 | − | 0.866025i | −0.0714286 | − | 0.123718i | ||||
\(50\) | −2.93526 | − | 5.08401i | −0.415108 | − | 0.718988i | ||||
\(51\) | −3.65109 | −0.511255 | ||||||||
\(52\) | 0.661367 | + | 2.53311i | 0.0917150 | + | 0.351279i | ||||
\(53\) | −0.302187 | −0.0415086 | −0.0207543 | − | 0.999785i | \(-0.506607\pi\) | ||||
−0.0207543 | + | 0.999785i | \(0.506607\pi\) | |||||||
\(54\) | 0.825547 | + | 1.42989i | 0.112343 | + | 0.194583i | ||||
\(55\) | 6.40162 | + | 11.0879i | 0.863195 | + | 1.49510i | ||||
\(56\) | −1.05166 | + | 1.82152i | −0.140533 | + | 0.243411i | ||||
\(57\) | 5.75441 | 0.762190 | ||||||||
\(58\) | −0.989727 | + | 1.71426i | −0.129958 | + | 0.225093i | ||||
\(59\) | −1.51415 | + | 2.62258i | −0.197125 | + | 0.341431i | −0.947595 | − | 0.319474i | \(-0.896494\pi\) |
0.750470 | + | 0.660905i | \(0.229827\pi\) | |||||||
\(60\) | −2.12386 | −0.274189 | ||||||||
\(61\) | 0.151093 | − | 0.261701i | 0.0193455 | − | 0.0335074i | −0.856191 | − | 0.516660i | \(-0.827175\pi\) |
0.875536 | + | 0.483153i | \(0.160508\pi\) | |||||||
\(62\) | 5.34357 | + | 9.25533i | 0.678634 | + | 1.17543i | ||||
\(63\) | 0.500000 | + | 0.866025i | 0.0629941 | + | 0.109109i | ||||
\(64\) | 3.36945 | 0.421182 | ||||||||
\(65\) | 7.50494 | − | 7.40931i | 0.930873 | − | 0.919011i | ||||
\(66\) | 7.22717 | 0.889603 | ||||||||
\(67\) | 4.35384 | + | 7.54108i | 0.531907 | + | 0.921289i | 0.999306 | + | 0.0372431i | \(0.0118576\pi\) |
−0.467400 | + | 0.884046i | \(0.654809\pi\) | |||||||
\(68\) | −1.32555 | − | 2.29591i | −0.160746 | − | 0.278420i | ||||
\(69\) | 3.51415 | − | 6.08668i | 0.423054 | − | 0.732751i | ||||
\(70\) | −4.82942 | −0.577226 | ||||||||
\(71\) | −6.76855 | + | 11.7235i | −0.803280 | + | 1.39132i | 0.114167 | + | 0.993462i | \(0.463580\pi\) |
−0.917446 | + | 0.397859i | \(0.869753\pi\) | |||||||
\(72\) | 1.05166 | − | 1.82152i | 0.123939 | − | 0.214668i | ||||
\(73\) | 0.932734 | 0.109168 | 0.0545841 | − | 0.998509i | \(-0.482617\pi\) | ||||
0.0545841 | + | 0.998509i | \(0.482617\pi\) | |||||||
\(74\) | 2.41471 | − | 4.18240i | 0.280704 | − | 0.486194i | ||||
\(75\) | 1.77777 | + | 3.07918i | 0.205279 | + | 0.355553i | ||||
\(76\) | 2.08916 | + | 3.61854i | 0.239644 | + | 0.415075i | ||||
\(77\) | 4.37720 | 0.498829 | ||||||||
\(78\) | −1.50388 | − | 5.76002i | −0.170280 | − | 0.652193i | ||||
\(79\) | −16.9426 | −1.90619 | −0.953096 | − | 0.302668i | \(-0.902123\pi\) | ||||
−0.953096 | + | 0.302668i | \(0.902123\pi\) | |||||||
\(80\) | 7.20275 | + | 12.4755i | 0.805292 | + | 1.39481i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 7.10331 | − | 12.3033i | 0.784430 | − | 1.35867i | ||||
\(83\) | −1.26614 | −0.138977 | −0.0694885 | − | 0.997583i | \(-0.522137\pi\) | ||||
−0.0694885 | + | 0.997583i | \(0.522137\pi\) | |||||||
\(84\) | −0.363055 | + | 0.628829i | −0.0396125 | + | 0.0686109i | ||||
\(85\) | −5.33969 | + | 9.24862i | −0.579171 | + | 1.00315i | ||||
\(86\) | −9.45434 | −1.01949 | ||||||||
\(87\) | 0.599437 | − | 1.03826i | 0.0642664 | − | 0.111313i | ||||
\(88\) | −4.60331 | − | 7.97317i | −0.490715 | − | 0.849943i | ||||
\(89\) | 6.69887 | + | 11.6028i | 0.710079 | + | 1.22989i | 0.964827 | + | 0.262886i | \(0.0846743\pi\) |
−0.254748 | + | 0.967008i | \(0.581992\pi\) | |||||||
\(90\) | 4.82942 | 0.509066 | ||||||||
\(91\) | −0.910836 | − | 3.48861i | −0.0954815 | − | 0.365705i | ||||
\(92\) | 5.10331 | 0.532057 | ||||||||
\(93\) | −3.23638 | − | 5.60558i | −0.335597 | − | 0.581271i | ||||
\(94\) | 7.91190 | + | 13.7038i | 0.816050 | + | 1.41344i | ||||
\(95\) | 8.41577 | − | 14.5765i | 0.863440 | − | 1.49552i | ||||
\(96\) | 3.92498 | 0.400592 | ||||||||
\(97\) | −5.96249 | + | 10.3273i | −0.605399 | + | 1.04858i | 0.386589 | + | 0.922252i | \(0.373653\pi\) |
−0.991988 | + | 0.126330i | \(0.959680\pi\) | |||||||
\(98\) | −0.825547 | + | 1.42989i | −0.0833928 | + | 0.144441i | ||||
\(99\) | −4.37720 | −0.439925 | ||||||||
\(100\) | −1.29085 | + | 2.23582i | −0.129085 | + | 0.223582i | ||||
\(101\) | −5.51415 | − | 9.55078i | −0.548678 | − | 0.950339i | −0.998365 | − | 0.0571525i | \(-0.981798\pi\) |
0.449687 | − | 0.893186i | \(-0.351535\pi\) | |||||||
\(102\) | 3.01415 | + | 5.22066i | 0.298445 | + | 0.516922i | ||||
\(103\) | −19.4543 | −1.91689 | −0.958447 | − | 0.285272i | \(-0.907916\pi\) | ||||
−0.958447 | + | 0.285272i | \(0.907916\pi\) | |||||||
\(104\) | −5.39669 | + | 5.32792i | −0.529189 | + | 0.522446i | ||||
\(105\) | 2.92498 | 0.285449 | ||||||||
\(106\) | 0.249469 | + | 0.432094i | 0.0242306 | + | 0.0419686i | ||||
\(107\) | 0.711961 | + | 1.23315i | 0.0688279 | + | 0.119213i | 0.898386 | − | 0.439208i | \(-0.144741\pi\) |
−0.829558 | + | 0.558421i | \(0.811407\pi\) | |||||||
\(108\) | 0.363055 | − | 0.628829i | 0.0349350 | − | 0.0605091i | ||||
\(109\) | −0.0467198 | −0.00447494 | −0.00223747 | − | 0.999997i | \(-0.500712\pi\) | ||||
−0.00223747 | + | 0.999997i | \(0.500712\pi\) | |||||||
\(110\) | 10.5697 | − | 18.3072i | 1.00778 | − | 1.74553i | ||||
\(111\) | −1.46249 | + | 2.53311i | −0.138814 | + | 0.240432i | ||||
\(112\) | 4.92498 | 0.465367 | ||||||||
\(113\) | 5.16912 | − | 8.95317i | 0.486270 | − | 0.842244i | −0.513606 | − | 0.858026i | \(-0.671691\pi\) |
0.999875 | + | 0.0157826i | \(0.00502397\pi\) | |||||||
\(114\) | −4.75053 | − | 8.22816i | −0.444928 | − | 0.770638i | ||||
\(115\) | −10.2788 | − | 17.8035i | −0.958506 | − | 1.66018i | ||||
\(116\) | 0.870514 | 0.0808252 | ||||||||
\(117\) | 0.910836 | + | 3.48861i | 0.0842068 | + | 0.322522i | ||||
\(118\) | 5.00000 | 0.460287 | ||||||||
\(119\) | 1.82555 | + | 3.16194i | 0.167348 | + | 0.289855i | ||||
\(120\) | −3.07608 | − | 5.32792i | −0.280806 | − | 0.486371i | ||||
\(121\) | −4.07995 | + | 7.06668i | −0.370905 | + | 0.642426i | ||||
\(122\) | −0.498939 | −0.0451718 | ||||||||
\(123\) | −4.30219 | + | 7.45161i | −0.387915 | + | 0.671889i | ||||
\(124\) | 2.34997 | − | 4.07026i | 0.211033 | − | 0.365520i | ||||
\(125\) | −4.22505 | −0.377900 | ||||||||
\(126\) | 0.825547 | − | 1.42989i | 0.0735455 | − | 0.127385i | ||||
\(127\) | 2.73638 | + | 4.73955i | 0.242815 | + | 0.420567i | 0.961515 | − | 0.274753i | \(-0.0885960\pi\) |
−0.718700 | + | 0.695320i | \(0.755263\pi\) | |||||||
\(128\) | −6.70662 | − | 11.6162i | −0.592787 | − | 1.02674i | ||||
\(129\) | 5.72611 | 0.504156 | ||||||||
\(130\) | −16.7902 | − | 4.61450i | −1.47259 | − | 0.404718i | ||||
\(131\) | 16.1706 | 1.41283 | 0.706415 | − | 0.707798i | \(-0.250311\pi\) | ||||
0.706415 | + | 0.707798i | \(0.250311\pi\) | |||||||
\(132\) | −1.58916 | − | 2.75251i | −0.138319 | − | 0.239576i | ||||
\(133\) | −2.87720 | − | 4.98346i | −0.249485 | − | 0.432121i | ||||
\(134\) | 7.18860 | − | 12.4510i | 0.621001 | − | 1.07560i | ||||
\(135\) | −2.92498 | −0.251743 | ||||||||
\(136\) | 3.83969 | − | 6.65055i | 0.329251 | − | 0.570280i | ||||
\(137\) | 6.00881 | − | 10.4076i | 0.513367 | − | 0.889178i | −0.486512 | − | 0.873674i | \(-0.661731\pi\) |
0.999880 | − | 0.0155048i | \(-0.00493551\pi\) | |||||||
\(138\) | −11.6044 | −0.987830 | ||||||||
\(139\) | −0.674453 | + | 1.16819i | −0.0572064 | + | 0.0990844i | −0.893210 | − | 0.449639i | \(-0.851553\pi\) |
0.836004 | + | 0.548723i | \(0.184886\pi\) | |||||||
\(140\) | 1.06193 | + | 1.83932i | 0.0897494 | + | 0.155451i | ||||
\(141\) | −4.79191 | − | 8.29984i | −0.403552 | − | 0.698972i | ||||
\(142\) | 22.3510 | 1.87566 | ||||||||
\(143\) | 15.2180 | + | 4.18240i | 1.27259 | + | 0.349750i | ||||
\(144\) | −4.92498 | −0.410415 | ||||||||
\(145\) | −1.75334 | − | 3.03688i | −0.145607 | − | 0.252199i | ||||
\(146\) | −0.770016 | − | 1.33371i | −0.0637269 | − | 0.110378i | ||||
\(147\) | 0.500000 | − | 0.866025i | 0.0412393 | − | 0.0714286i | ||||
\(148\) | −2.12386 | −0.174580 | ||||||||
\(149\) | 1.53751 | − | 2.66304i | 0.125958 | − | 0.218165i | −0.796149 | − | 0.605100i | \(-0.793133\pi\) |
0.922107 | + | 0.386935i | \(0.126466\pi\) | |||||||
\(150\) | 2.93526 | − | 5.08401i | 0.239663 | − | 0.415108i | ||||
\(151\) | 16.6610 | 1.35585 | 0.677925 | − | 0.735131i | \(-0.262879\pi\) | ||||
0.677925 | + | 0.735131i | \(0.262879\pi\) | |||||||
\(152\) | −6.05166 | + | 10.4818i | −0.490854 | + | 0.850184i | ||||
\(153\) | −1.82555 | − | 3.16194i | −0.147587 | − | 0.255628i | ||||
\(154\) | −3.61359 | − | 6.25891i | −0.291191 | − | 0.504358i | ||||
\(155\) | −18.9327 | −1.52071 | ||||||||
\(156\) | −1.86305 | + | 1.83932i | −0.149164 | + | 0.147263i | ||||
\(157\) | 12.8294 | 1.02390 | 0.511950 | − | 0.859015i | \(-0.328923\pi\) | ||||
0.511950 | + | 0.859015i | \(0.328923\pi\) | |||||||
\(158\) | 13.9869 | + | 24.2260i | 1.11274 | + | 1.92732i | ||||
\(159\) | −0.151093 | − | 0.261701i | −0.0119825 | − | 0.0207543i | ||||
\(160\) | 5.74026 | − | 9.94242i | 0.453807 | − | 0.786017i | ||||
\(161\) | −7.02830 | −0.553907 | ||||||||
\(162\) | −0.825547 | + | 1.42989i | −0.0648611 | + | 0.112343i | ||||
\(163\) | 10.8022 | − | 18.7099i | 0.846093 | − | 1.46548i | −0.0385764 | − | 0.999256i | \(-0.512282\pi\) |
0.884669 | − | 0.466220i | \(-0.154384\pi\) | |||||||
\(164\) | −6.24772 | −0.487865 | ||||||||
\(165\) | −6.40162 | + | 11.0879i | −0.498366 | + | 0.863195i | ||||
\(166\) | 1.04526 | + | 1.81044i | 0.0811278 | + | 0.140517i | ||||
\(167\) | −10.6599 | − | 18.4635i | −0.824888 | − | 1.42875i | −0.902005 | − | 0.431726i | \(-0.857905\pi\) |
0.0771165 | − | 0.997022i | \(-0.475429\pi\) | |||||||
\(168\) | −2.10331 | −0.162274 | ||||||||
\(169\) | 0.166703 | − | 12.9989i | 0.0128233 | − | 0.999918i | ||||
\(170\) | 17.6327 | 1.35236 | ||||||||
\(171\) | 2.87720 | + | 4.98346i | 0.220025 | + | 0.381095i | ||||
\(172\) | 2.07889 | + | 3.60074i | 0.158514 | + | 0.274554i | ||||
\(173\) | −1.56087 | + | 2.70350i | −0.118671 | + | 0.205543i | −0.919241 | − | 0.393695i | \(-0.871197\pi\) |
0.800570 | + | 0.599239i | \(0.204530\pi\) | |||||||
\(174\) | −1.97945 | −0.150062 | ||||||||
\(175\) | 1.77777 | − | 3.07918i | 0.134386 | − | 0.232764i | ||||
\(176\) | −10.7788 | + | 18.6695i | −0.812485 | + | 1.40726i | ||||
\(177\) | −3.02830 | −0.227621 | ||||||||
\(178\) | 11.0605 | − | 19.1573i | 0.829017 | − | 1.43590i | ||||
\(179\) | −9.48545 | − | 16.4293i | −0.708976 | − | 1.22798i | −0.965237 | − | 0.261375i | \(-0.915824\pi\) |
0.256261 | − | 0.966608i | \(-0.417509\pi\) | |||||||
\(180\) | −1.06193 | − | 1.83932i | −0.0791515 | − | 0.137094i | ||||
\(181\) | −1.93273 | −0.143659 | −0.0718295 | − | 0.997417i | \(-0.522884\pi\) | ||||
−0.0718295 | + | 0.997417i | \(0.522884\pi\) | |||||||
\(182\) | −4.23638 | + | 4.18240i | −0.314022 | + | 0.310020i | ||||
\(183\) | 0.302187 | 0.0223383 | ||||||||
\(184\) | 7.39135 | + | 12.8022i | 0.544898 | + | 0.943790i | ||||
\(185\) | 4.27777 | + | 7.40931i | 0.314508 | + | 0.544743i | ||||
\(186\) | −5.34357 | + | 9.25533i | −0.391810 | + | 0.678634i | ||||
\(187\) | −15.9816 | −1.16869 | ||||||||
\(188\) | 3.47945 | − | 6.02659i | 0.253765 | − | 0.439534i | ||||
\(189\) | −0.500000 | + | 0.866025i | −0.0363696 | + | 0.0629941i | ||||
\(190\) | −27.7905 | −2.01613 | ||||||||
\(191\) | 1.13695 | − | 1.96925i | 0.0822665 | − | 0.142490i | −0.821957 | − | 0.569550i | \(-0.807117\pi\) |
0.904223 | + | 0.427060i | \(0.140451\pi\) | |||||||
\(192\) | 1.68473 | + | 2.91803i | 0.121585 | + | 0.210591i | ||||
\(193\) | 2.19354 | + | 3.79932i | 0.157894 | + | 0.273481i | 0.934109 | − | 0.356988i | \(-0.116196\pi\) |
−0.776215 | + | 0.630468i | \(0.782863\pi\) | |||||||
\(194\) | 19.6893 | 1.41361 | ||||||||
\(195\) | 10.1691 | + | 2.79481i | 0.728226 | + | 0.200141i | ||||
\(196\) | 0.726109 | 0.0518650 | ||||||||
\(197\) | 2.62920 | + | 4.55390i | 0.187322 | + | 0.324452i | 0.944357 | − | 0.328923i | \(-0.106686\pi\) |
−0.757034 | + | 0.653375i | \(0.773352\pi\) | |||||||
\(198\) | 3.61359 | + | 6.25891i | 0.256806 | + | 0.444802i | ||||
\(199\) | −6.59798 | + | 11.4280i | −0.467718 | + | 0.810111i | −0.999320 | − | 0.0368831i | \(-0.988257\pi\) |
0.531601 | + | 0.846995i | \(0.321590\pi\) | |||||||
\(200\) | −7.47839 | −0.528802 | ||||||||
\(201\) | −4.35384 | + | 7.54108i | −0.307096 | + | 0.531907i | ||||
\(202\) | −9.10437 | + | 15.7692i | −0.640581 | + | 1.10952i | ||||
\(203\) | −1.19887 | −0.0841445 | ||||||||
\(204\) | 1.32555 | − | 2.29591i | 0.0928068 | − | 0.160746i | ||||
\(205\) | 12.5838 | + | 21.7958i | 0.878893 | + | 1.52229i | ||||
\(206\) | 16.0605 | + | 27.8175i | 1.11899 | + | 1.93814i | ||||
\(207\) | 7.02830 | 0.488500 | ||||||||
\(208\) | 17.1224 | + | 4.70580i | 1.18722 | + | 0.326289i | ||||
\(209\) | 25.1882 | 1.74230 | ||||||||
\(210\) | −2.41471 | − | 4.18240i | −0.166631 | − | 0.288613i | ||||
\(211\) | 8.72077 | + | 15.1048i | 0.600363 | + | 1.03986i | 0.992766 | + | 0.120065i | \(0.0383105\pi\) |
−0.392403 | + | 0.919793i | \(0.628356\pi\) | |||||||
\(212\) | 0.109710 | − | 0.190024i | 0.00753494 | − | 0.0130509i | ||||
\(213\) | −13.5371 | −0.927547 | ||||||||
\(214\) | 1.17551 | − | 2.03605i | 0.0803565 | − | 0.139182i | ||||
\(215\) | 8.37439 | − | 14.5049i | 0.571129 | − | 0.989224i | ||||
\(216\) | 2.10331 | 0.143112 | ||||||||
\(217\) | −3.23638 | + | 5.60558i | −0.219700 | + | 0.380531i | ||||
\(218\) | 0.0385694 | + | 0.0668041i | 0.00261225 | + | 0.00452454i | ||||
\(219\) | 0.466367 | + | 0.807771i | 0.0315142 | + | 0.0545841i | ||||
\(220\) | −9.29656 | −0.626774 | ||||||||
\(221\) | 3.32555 | + | 12.7372i | 0.223700 | + | 0.856799i | ||||
\(222\) | 4.82942 | 0.324130 | ||||||||
\(223\) | −4.00106 | − | 6.93004i | −0.267931 | − | 0.464070i | 0.700396 | − | 0.713754i | \(-0.253007\pi\) |
−0.968327 | + | 0.249684i | \(0.919673\pi\) | |||||||
\(224\) | −1.96249 | − | 3.39914i | −0.131125 | − | 0.227114i | ||||
\(225\) | −1.77777 | + | 3.07918i | −0.118518 | + | 0.205279i | ||||
\(226\) | −17.0694 | −1.13544 | ||||||||
\(227\) | 4.02976 | − | 6.97975i | 0.267464 | − | 0.463262i | −0.700742 | − | 0.713415i | \(-0.747148\pi\) |
0.968206 | + | 0.250153i | \(0.0804809\pi\) | |||||||
\(228\) | −2.08916 | + | 3.61854i | −0.138358 | + | 0.239644i | ||||
\(229\) | −8.48052 | −0.560408 | −0.280204 | − | 0.959940i | \(-0.590402\pi\) | ||||
−0.280204 | + | 0.959940i | \(0.590402\pi\) | |||||||
\(230\) | −16.9713 | + | 29.3952i | −1.11905 | + | 1.93826i | ||||
\(231\) | 2.18860 | + | 3.79077i | 0.143999 | + | 0.249414i | ||||
\(232\) | 1.26080 | + | 2.18378i | 0.0827758 | + | 0.143372i | ||||
\(233\) | −10.2456 | −0.671211 | −0.335606 | − | 0.942003i | \(-0.608941\pi\) | ||||
−0.335606 | + | 0.942003i | \(0.608941\pi\) | |||||||
\(234\) | 4.23638 | − | 4.18240i | 0.276941 | − | 0.273412i | ||||
\(235\) | −28.0325 | −1.82864 | ||||||||
\(236\) | −1.09944 | − | 1.90428i | −0.0715673 | − | 0.123958i | ||||
\(237\) | −8.47130 | − | 14.6727i | −0.550270 | − | 0.953096i | ||||
\(238\) | 3.01415 | − | 5.22066i | 0.195378 | − | 0.338405i | ||||
\(239\) | −11.3022 | −0.731078 | −0.365539 | − | 0.930796i | \(-0.619115\pi\) | ||||
−0.365539 | + | 0.930796i | \(0.619115\pi\) | |||||||
\(240\) | −7.20275 | + | 12.4755i | −0.464935 | + | 0.805292i | ||||
\(241\) | −0.518023 | + | 0.897242i | −0.0333688 | + | 0.0577965i | −0.882228 | − | 0.470823i | \(-0.843957\pi\) |
0.848859 | + | 0.528620i | \(0.177290\pi\) | |||||||
\(242\) | 13.4728 | 0.866062 | ||||||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | 0.109710 | + | 0.190024i | 0.00702349 | + | 0.0121650i | ||||
\(245\) | −1.46249 | − | 2.53311i | −0.0934352 | − | 0.161834i | ||||
\(246\) | 14.2066 | 0.905781 | ||||||||
\(247\) | −5.24132 | − | 20.0749i | −0.333497 | − | 1.27733i | ||||
\(248\) | 13.6142 | 0.864506 | ||||||||
\(249\) | −0.633070 | − | 1.09651i | −0.0401192 | − | 0.0694885i | ||||
\(250\) | 3.48797 | + | 6.04135i | 0.220599 | + | 0.382088i | ||||
\(251\) | −6.64188 | + | 11.5041i | −0.419232 | + | 0.726131i | −0.995862 | − | 0.0908742i | \(-0.971034\pi\) |
0.576631 | + | 0.817005i | \(0.304367\pi\) | |||||||
\(252\) | −0.726109 | −0.0457406 | ||||||||
\(253\) | 15.3821 | − | 26.6426i | 0.967067 | − | 1.67501i | ||||
\(254\) | 4.51802 | − | 7.82545i | 0.283486 | − | 0.491012i | ||||
\(255\) | −10.6794 | −0.668769 | ||||||||
\(256\) | −7.70381 | + | 13.3434i | −0.481488 | + | 0.833962i | ||||
\(257\) | −6.22077 | − | 10.7747i | −0.388041 | − | 0.672107i | 0.604145 | − | 0.796875i | \(-0.293515\pi\) |
−0.992186 | + | 0.124768i | \(0.960181\pi\) | |||||||
\(258\) | −4.72717 | − | 8.18770i | −0.294301 | − | 0.509744i | ||||
\(259\) | 2.92498 | 0.181750 | ||||||||
\(260\) | 1.93449 | + | 7.40931i | 0.119972 | + | 0.459506i | ||||
\(261\) | 1.19887 | 0.0742085 | ||||||||
\(262\) | −13.3496 | − | 23.1221i | −0.824739 | − | 1.42849i | ||||
\(263\) | −3.29579 | − | 5.70847i | −0.203227 | − | 0.352000i | 0.746339 | − | 0.665566i | \(-0.231810\pi\) |
−0.949566 | + | 0.313566i | \(0.898476\pi\) | |||||||
\(264\) | 4.60331 | − | 7.97317i | 0.283314 | − | 0.490715i | ||||
\(265\) | −0.883892 | −0.0542970 | ||||||||
\(266\) | −4.75053 | + | 8.22816i | −0.291274 | + | 0.504501i | ||||
\(267\) | −6.69887 | + | 11.6028i | −0.409964 | + | 0.710079i | ||||
\(268\) | −6.32273 | −0.386222 | ||||||||
\(269\) | 1.35812 | − | 2.35233i | 0.0828059 | − | 0.143424i | −0.821648 | − | 0.569995i | \(-0.806945\pi\) |
0.904454 | + | 0.426571i | \(0.140279\pi\) | |||||||
\(270\) | 2.41471 | + | 4.18240i | 0.146955 | + | 0.254533i | ||||
\(271\) | 15.3627 | + | 26.6089i | 0.933215 | + | 1.61638i | 0.777787 | + | 0.628528i | \(0.216342\pi\) |
0.155428 | + | 0.987847i | \(0.450324\pi\) | |||||||
\(272\) | −17.9816 | −1.09029 | ||||||||
\(273\) | 2.56580 | − | 2.53311i | 0.155290 | − | 0.153311i | ||||
\(274\) | −19.8422 | −1.19871 | ||||||||
\(275\) | 7.78164 | + | 13.4782i | 0.469251 | + | 0.812766i | ||||
\(276\) | 2.55166 | + | 4.41960i | 0.153592 | + | 0.266029i | ||||
\(277\) | 10.7827 | − | 18.6762i | 0.647870 | − | 1.12214i | −0.335761 | − | 0.941947i | \(-0.608993\pi\) |
0.983631 | − | 0.180196i | \(-0.0576732\pi\) | |||||||
\(278\) | 2.22717 | 0.133577 | ||||||||
\(279\) | 3.23638 | − | 5.60558i | 0.193757 | − | 0.335597i | ||||
\(280\) | −3.07608 | + | 5.32792i | −0.183831 | + | 0.318404i | ||||
\(281\) | 33.2058 | 1.98089 | 0.990447 | − | 0.137896i | \(-0.0440340\pi\) | ||||
0.990447 | + | 0.137896i | \(0.0440340\pi\) | |||||||
\(282\) | −7.91190 | + | 13.7038i | −0.471147 | + | 0.816050i | ||||
\(283\) | −0.741719 | − | 1.28470i | −0.0440906 | − | 0.0763672i | 0.843138 | − | 0.537697i | \(-0.180706\pi\) |
−0.887229 | + | 0.461330i | \(0.847372\pi\) | |||||||
\(284\) | −4.91471 | − | 8.51253i | −0.291634 | − | 0.505126i | ||||
\(285\) | 16.8315 | 0.997015 | ||||||||
\(286\) | −6.58277 | − | 25.2128i | −0.389247 | − | 1.49086i | ||||
\(287\) | 8.60437 | 0.507900 | ||||||||
\(288\) | 1.96249 | + | 3.39914i | 0.115641 | + | 0.200296i | ||||
\(289\) | 1.83476 | + | 3.17789i | 0.107927 | + | 0.186935i | ||||
\(290\) | −2.89494 | + | 5.01418i | −0.169996 | + | 0.294442i | ||||
\(291\) | −11.9250 | −0.699055 | ||||||||
\(292\) | −0.338633 | + | 0.586530i | −0.0198170 | + | 0.0343241i | ||||
\(293\) | −4.41577 | + | 7.64834i | −0.257972 | + | 0.446821i | −0.965699 | − | 0.259666i | \(-0.916388\pi\) |
0.707726 | + | 0.706487i | \(0.249721\pi\) | |||||||
\(294\) | −1.65109 | −0.0962937 | ||||||||
\(295\) | −4.42886 | + | 7.67101i | −0.257858 | + | 0.446623i | ||||
\(296\) | −3.07608 | − | 5.32792i | −0.178793 | − | 0.309679i | ||||
\(297\) | −2.18860 | − | 3.79077i | −0.126996 | − | 0.219963i | ||||
\(298\) | −5.07714 | −0.294111 | ||||||||
\(299\) | −24.4349 | − | 6.71551i | −1.41310 | − | 0.388368i | ||||
\(300\) | −2.58170 | −0.149055 | ||||||||
\(301\) | −2.86305 | − | 4.95896i | −0.165024 | − | 0.285829i | ||||
\(302\) | −13.7544 | − | 23.8233i | −0.791477 | − | 1.37088i | ||||
\(303\) | 5.51415 | − | 9.55078i | 0.316780 | − | 0.548678i | ||||
\(304\) | 28.3404 | 1.62543 | ||||||||
\(305\) | 0.441946 | − | 0.765473i | 0.0253057 | − | 0.0438308i | ||||
\(306\) | −3.01415 | + | 5.22066i | −0.172307 | + | 0.298445i | ||||
\(307\) | 11.6532 | 0.665084 | 0.332542 | − | 0.943088i | \(-0.392094\pi\) | ||||
0.332542 | + | 0.943088i | \(0.392094\pi\) | |||||||
\(308\) | −1.58916 | + | 2.75251i | −0.0905510 | + | 0.156839i | ||||
\(309\) | −9.72717 | − | 16.8480i | −0.553359 | − | 0.958447i | ||||
\(310\) | 15.6299 | + | 27.0717i | 0.887716 | + | 1.53757i | ||||
\(311\) | −25.0099 | −1.41818 | −0.709090 | − | 0.705118i | \(-0.750894\pi\) | ||||
−0.709090 | + | 0.705118i | \(0.750894\pi\) | |||||||
\(312\) | −7.31246 | − | 2.00971i | −0.413987 | − | 0.113777i | ||||
\(313\) | −0.186078 | −0.0105178 | −0.00525889 | − | 0.999986i | \(-0.501674\pi\) | ||||
−0.00525889 | + | 0.999986i | \(0.501674\pi\) | |||||||
\(314\) | −10.5913 | − | 18.3446i | −0.597701 | − | 1.03525i | ||||
\(315\) | 1.46249 | + | 2.53311i | 0.0824021 | + | 0.142725i | ||||
\(316\) | 6.15109 | − | 10.6540i | 0.346026 | − | 0.599335i | ||||
\(317\) | −0.540031 | −0.0303312 | −0.0151656 | − | 0.999885i | \(-0.504828\pi\) | ||||
−0.0151656 | + | 0.999885i | \(0.504828\pi\) | |||||||
\(318\) | −0.249469 | + | 0.432094i | −0.0139895 | + | 0.0242306i | ||||
\(319\) | 2.62386 | − | 4.54466i | 0.146908 | − | 0.254452i | ||||
\(320\) | 9.85560 | 0.550945 | ||||||||
\(321\) | −0.711961 | + | 1.23315i | −0.0397378 | + | 0.0688279i | ||||
\(322\) | 5.80219 | + | 10.0497i | 0.323343 | + | 0.560047i | ||||
\(323\) | 10.5049 | + | 18.1951i | 0.584510 | + | 1.01240i | ||||
\(324\) | 0.726109 | 0.0403394 | ||||||||
\(325\) | 9.12280 | − | 9.00655i | 0.506042 | − | 0.499594i | ||||
\(326\) | −35.6708 | −1.97563 | ||||||||
\(327\) | −0.0233599 | − | 0.0404605i | −0.00129180 | − | 0.00223747i | ||||
\(328\) | −9.04884 | − | 15.6731i | −0.499639 | − | 0.865400i | ||||
\(329\) | −4.79191 | + | 8.29984i | −0.264187 | + | 0.457585i | ||||
\(330\) | 21.1394 | 1.16368 | ||||||||
\(331\) | −0.770016 | + | 1.33371i | −0.0423239 | + | 0.0733071i | −0.886411 | − | 0.462898i | \(-0.846809\pi\) |
0.844087 | + | 0.536206i | \(0.180143\pi\) | |||||||
\(332\) | 0.459678 | − | 0.796186i | 0.0252281 | − | 0.0436964i | ||||
\(333\) | −2.92498 | −0.160288 | ||||||||
\(334\) | −17.6005 | + | 30.4850i | −0.963056 | + | 1.66806i | ||||
\(335\) | 12.7349 | + | 22.0575i | 0.695783 | + | 1.20513i | ||||
\(336\) | 2.46249 | + | 4.26516i | 0.134340 | + | 0.232684i | ||||
\(337\) | 2.82942 | 0.154128 | 0.0770642 | − | 0.997026i | \(-0.475445\pi\) | ||||
0.0770642 | + | 0.997026i | \(0.475445\pi\) | |||||||
\(338\) | −18.7246 | + | 10.4929i | −1.01849 | + | 0.570736i | ||||
\(339\) | 10.3382 | 0.561496 | ||||||||
\(340\) | −3.87720 | − | 6.71551i | −0.210271 | − | 0.364200i | ||||
\(341\) | −14.1663 | − | 24.5368i | −0.767148 | − | 1.32874i | ||||
\(342\) | 4.75053 | − | 8.22816i | 0.256879 | − | 0.444928i | ||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | −6.02190 | + | 10.4302i | −0.324679 | + | 0.562361i | ||||
\(345\) | 10.2788 | − | 17.8035i | 0.553393 | − | 0.958506i | ||||
\(346\) | 5.15428 | 0.277096 | ||||||||
\(347\) | 12.6950 | − | 21.9884i | 0.681503 | − | 1.18040i | −0.293019 | − | 0.956107i | \(-0.594660\pi\) |
0.974522 | − | 0.224292i | \(-0.0720068\pi\) | |||||||
\(348\) | 0.435257 | + | 0.753887i | 0.0233322 | + | 0.0404126i | ||||
\(349\) | 0.542845 | + | 0.940235i | 0.0290578 | + | 0.0503296i | 0.880189 | − | 0.474624i | \(-0.157416\pi\) |
−0.851131 | + | 0.524954i | \(0.824083\pi\) | |||||||
\(350\) | −5.87051 | −0.313792 | ||||||||
\(351\) | −2.56580 | + | 2.53311i | −0.136953 | + | 0.135207i | ||||
\(352\) | 17.1805 | 0.915721 | ||||||||
\(353\) | −5.26468 | − | 9.11869i | −0.280211 | − | 0.485339i | 0.691226 | − | 0.722639i | \(-0.257071\pi\) |
−0.971436 | + | 0.237300i | \(0.923738\pi\) | |||||||
\(354\) | 2.50000 | + | 4.33013i | 0.132874 | + | 0.230144i | ||||
\(355\) | −19.7979 | + | 34.2910i | −1.05076 | + | 1.81998i | ||||
\(356\) | −9.72823 | −0.515595 | ||||||||
\(357\) | −1.82555 | + | 3.16194i | −0.0966182 | + | 0.167348i | ||||
\(358\) | −15.6614 | + | 27.1263i | −0.827729 | + | 1.43367i | ||||
\(359\) | 27.2087 | 1.43602 | 0.718011 | − | 0.696031i | \(-0.245053\pi\) | ||||
0.718011 | + | 0.696031i | \(0.245053\pi\) | |||||||
\(360\) | 3.07608 | − | 5.32792i | 0.162124 | − | 0.280806i | ||||
\(361\) | −7.05659 | − | 12.2224i | −0.371400 | − | 0.643283i | ||||
\(362\) | 1.59556 | + | 2.76359i | 0.0838609 | + | 0.145251i | ||||
\(363\) | −8.15990 | −0.428284 | ||||||||
\(364\) | 2.52442 | + | 0.693795i | 0.132316 | + | 0.0363647i | ||||
\(365\) | 2.72823 | 0.142802 | ||||||||
\(366\) | −0.249469 | − | 0.432094i | −0.0130400 | − | 0.0225859i | ||||
\(367\) | 3.12920 | + | 5.41993i | 0.163343 | + | 0.282918i | 0.936065 | − | 0.351826i | \(-0.114439\pi\) |
−0.772723 | + | 0.634744i | \(0.781106\pi\) | |||||||
\(368\) | 17.3071 | − | 29.9768i | 0.902196 | − | 1.56265i | ||||
\(369\) | −8.60437 | −0.447926 | ||||||||
\(370\) | 7.06299 | − | 12.2335i | 0.367187 | − | 0.635987i | ||||
\(371\) | −0.151093 | + | 0.261701i | −0.00784438 | + | 0.0135869i | ||||
\(372\) | 4.69994 | 0.243680 | ||||||||
\(373\) | 0.589164 | − | 1.02046i | 0.0305058 | − | 0.0528375i | −0.850369 | − | 0.526186i | \(-0.823622\pi\) |
0.880875 | + | 0.473349i | \(0.156955\pi\) | |||||||
\(374\) | 13.1935 | + | 22.8519i | 0.682222 | + | 1.18164i | ||||
\(375\) | −2.11252 | − | 3.65900i | −0.109090 | − | 0.188950i | ||||
\(376\) | 20.1578 | 1.03956 | ||||||||
\(377\) | −4.16806 | − | 1.14552i | −0.214666 | − | 0.0589973i | ||||
\(378\) | 1.65109 | 0.0849231 | ||||||||
\(379\) | 12.1033 | + | 20.9636i | 0.621705 | + | 1.07683i | 0.989168 | + | 0.146787i | \(0.0468932\pi\) |
−0.367463 | + | 0.930038i | \(0.619773\pi\) | |||||||
\(380\) | 6.11077 | + | 10.5842i | 0.313476 | + | 0.542956i | ||||
\(381\) | −2.73638 | + | 4.73955i | −0.140189 | + | 0.242815i | ||||
\(382\) | −3.75441 | −0.192092 | ||||||||
\(383\) | 1.24559 | − | 2.15743i | 0.0636469 | − | 0.110240i | −0.832446 | − | 0.554106i | \(-0.813060\pi\) |
0.896093 | + | 0.443866i | \(0.146394\pi\) | |||||||
\(384\) | 6.70662 | − | 11.6162i | 0.342246 | − | 0.592787i | ||||
\(385\) | 12.8032 | 0.652514 | ||||||||
\(386\) | 3.62174 | − | 6.27303i | 0.184341 | − | 0.319289i | ||||
\(387\) | 2.86305 | + | 4.95896i | 0.145537 | + | 0.252078i | ||||
\(388\) | −4.32942 | − | 7.49878i | −0.219793 | − | 0.380693i | ||||
\(389\) | 23.6065 | 1.19690 | 0.598448 | − | 0.801161i | \(-0.295784\pi\) | ||||
0.598448 | + | 0.801161i | \(0.295784\pi\) | |||||||
\(390\) | −4.39881 | − | 16.8480i | −0.222742 | − | 0.853129i | ||||
\(391\) | 25.6610 | 1.29773 | ||||||||
\(392\) | 1.05166 | + | 1.82152i | 0.0531167 | + | 0.0920007i | ||||
\(393\) | 8.08529 | + | 14.0041i | 0.407849 | + | 0.706415i | ||||
\(394\) | 4.34105 | − | 7.51891i | 0.218699 | − | 0.378797i | ||||
\(395\) | −49.5569 | −2.49348 | ||||||||
\(396\) | 1.58916 | − | 2.75251i | 0.0798585 | − | 0.138319i | ||||
\(397\) | 4.42352 | − | 7.66177i | 0.222010 | − | 0.384533i | −0.733408 | − | 0.679789i | \(-0.762071\pi\) |
0.955418 | + | 0.295256i | \(0.0954048\pi\) | |||||||
\(398\) | 21.7877 | 1.09212 | ||||||||
\(399\) | 2.87720 | − | 4.98346i | 0.144040 | − | 0.249485i | ||||
\(400\) | 8.75547 | + | 15.1649i | 0.437773 | + | 0.758246i | ||||
\(401\) | 9.45716 | + | 16.3803i | 0.472268 | + | 0.817992i | 0.999496 | − | 0.0317317i | \(-0.0101022\pi\) |
−0.527229 | + | 0.849723i | \(0.676769\pi\) | |||||||
\(402\) | 14.3772 | 0.717070 | ||||||||
\(403\) | −16.6078 | + | 16.3962i | −0.827296 | + | 0.816754i | ||||
\(404\) | 8.00775 | 0.398400 | ||||||||
\(405\) | −1.46249 | − | 2.53311i | −0.0726718 | − | 0.125871i | ||||
\(406\) | 0.989727 | + | 1.71426i | 0.0491193 | + | 0.0850772i | ||||
\(407\) | −6.40162 | + | 11.0879i | −0.317317 | + | 0.549609i | ||||
\(408\) | 7.67939 | 0.380186 | ||||||||
\(409\) | −1.74947 | + | 3.03017i | −0.0865057 | + | 0.149832i | −0.906032 | − | 0.423210i | \(-0.860903\pi\) |
0.819526 | + | 0.573042i | \(0.194237\pi\) | |||||||
\(410\) | 20.7771 | − | 35.9869i | 1.02611 | − | 1.77727i | ||||
\(411\) | 12.0176 | 0.592786 | ||||||||
\(412\) | 7.06299 | − | 12.2335i | 0.347969 | − | 0.602699i | ||||
\(413\) | 1.51415 | + | 2.62258i | 0.0745064 | + | 0.129049i | ||||
\(414\) | −5.80219 | − | 10.0497i | −0.285162 | − | 0.493915i | ||||
\(415\) | −3.70344 | −0.181795 | ||||||||
\(416\) | −3.57502 | − | 13.6927i | −0.175280 | − | 0.671341i | ||||
\(417\) | −1.34891 | −0.0660562 | ||||||||
\(418\) | −20.7940 | − | 36.0163i | −1.01707 | − | 1.76162i | ||||
\(419\) | −14.4158 | − | 24.9688i | −0.704257 | − | 1.21981i | −0.966959 | − | 0.254931i | \(-0.917947\pi\) |
0.262703 | − | 0.964877i | \(-0.415386\pi\) | |||||||
\(420\) | −1.06193 | + | 1.83932i | −0.0518168 | + | 0.0897494i | ||||
\(421\) | 34.3227 | 1.67279 | 0.836394 | − | 0.548129i | \(-0.184660\pi\) | ||||
0.836394 | + | 0.548129i | \(0.184660\pi\) | |||||||
\(422\) | 14.3988 | − | 24.9395i | 0.700923 | − | 1.21403i | ||||
\(423\) | 4.79191 | − | 8.29984i | 0.232991 | − | 0.403552i | ||||
\(424\) | 0.635593 | 0.0308671 | ||||||||
\(425\) | −6.49079 | + | 11.2424i | −0.314849 | + | 0.545335i | ||||
\(426\) | 11.1755 | + | 19.3566i | 0.541455 | + | 0.937828i | ||||
\(427\) | −0.151093 | − | 0.261701i | −0.00731192 | − | 0.0126646i | ||||
\(428\) | −1.03392 | −0.0499766 | ||||||||
\(429\) | 3.98691 | + | 15.2703i | 0.192490 | + | 0.737259i | ||||
\(430\) | −27.6538 | −1.33358 | ||||||||
\(431\) | −14.6779 | − | 25.4229i | −0.707011 | − | 1.22458i | −0.965961 | − | 0.258688i | \(-0.916710\pi\) |
0.258950 | − | 0.965891i | \(-0.416624\pi\) | |||||||
\(432\) | −2.46249 | − | 4.26516i | −0.118477 | − | 0.205208i | ||||
\(433\) | −14.3032 | + | 24.7740i | −0.687370 | + | 1.19056i | 0.285315 | + | 0.958434i | \(0.407902\pi\) |
−0.972686 | + | 0.232126i | \(0.925432\pi\) | |||||||
\(434\) | 10.6871 | 0.512999 | ||||||||
\(435\) | 1.75334 | − | 3.03688i | 0.0840664 | − | 0.145607i | ||||
\(436\) | 0.0169618 | − | 0.0293788i | 0.000812325 | − | 0.00140699i | ||||
\(437\) | −40.4437 | −1.93468 | ||||||||
\(438\) | 0.770016 | − | 1.33371i | 0.0367928 | − | 0.0637269i | ||||
\(439\) | −17.2399 | − | 29.8603i | −0.822813 | − | 1.42515i | −0.903579 | − | 0.428422i | \(-0.859070\pi\) |
0.0807654 | − | 0.996733i | \(-0.474264\pi\) | |||||||
\(440\) | −13.4646 | − | 23.3214i | −0.641900 | − | 1.11180i | ||||
\(441\) | 1.00000 | 0.0476190 | ||||||||
\(442\) | 15.4674 | − | 15.2703i | 0.735711 | − | 0.726336i | ||||
\(443\) | −12.9066 | −0.613209 | −0.306605 | − | 0.951837i | \(-0.599193\pi\) | ||||
−0.306605 | + | 0.951837i | \(0.599193\pi\) | |||||||
\(444\) | −1.06193 | − | 1.83932i | −0.0503969 | − | 0.0872900i | ||||
\(445\) | 19.5941 | + | 33.9380i | 0.928849 | + | 1.60881i | ||||
\(446\) | −6.60613 | + | 11.4421i | −0.312809 | + | 0.541801i | ||||
\(447\) | 3.07502 | 0.145443 | ||||||||
\(448\) | 1.68473 | − | 2.91803i | 0.0795958 | − | 0.137864i | ||||
\(449\) | 2.81915 | − | 4.88291i | 0.133044 | − | 0.230439i | −0.791805 | − | 0.610774i | \(-0.790858\pi\) |
0.924848 | + | 0.380336i | \(0.124192\pi\) | |||||||
\(450\) | 5.87051 | 0.276739 | ||||||||
\(451\) | −18.8315 | + | 32.6172i | −0.886743 | + | 1.53588i | ||||
\(452\) | 3.75334 | + | 6.50098i | 0.176542 | + | 0.305781i | ||||
\(453\) | 8.33048 | + | 14.4288i | 0.391400 | + | 0.677925i | ||||
\(454\) | −13.3070 | −0.624529 | ||||||||
\(455\) | −2.66418 | − | 10.2041i | −0.124899 | − | 0.478376i | ||||
\(456\) | −12.1033 | −0.566790 | ||||||||
\(457\) | −18.9947 | − | 32.8997i | −0.888533 | − | 1.53898i | −0.841610 | − | 0.540086i | \(-0.818392\pi\) |
−0.0469228 | − | 0.998899i | \(-0.514941\pi\) | |||||||
\(458\) | 7.00106 | + | 12.1262i | 0.327138 | + | 0.566620i | ||||
\(459\) | 1.82555 | − | 3.16194i | 0.0852092 | − | 0.147587i | ||||
\(460\) | 14.9271 | 0.695980 | ||||||||
\(461\) | 3.30365 | − | 5.72209i | 0.153866 | − | 0.266504i | −0.778779 | − | 0.627298i | \(-0.784161\pi\) |
0.932646 | + | 0.360794i | \(0.117494\pi\) | |||||||
\(462\) | 3.61359 | − | 6.25891i | 0.168119 | − | 0.291191i | ||||
\(463\) | 9.98933 | 0.464243 | 0.232122 | − | 0.972687i | \(-0.425433\pi\) | ||||
0.232122 | + | 0.972687i | \(0.425433\pi\) | |||||||
\(464\) | 2.95222 | − | 5.11339i | 0.137053 | − | 0.237383i | ||||
\(465\) | −9.46637 | − | 16.3962i | −0.438992 | − | 0.760357i | ||||
\(466\) | 8.45822 | + | 14.6501i | 0.391819 | + | 0.678651i | ||||
\(467\) | 3.42100 | 0.158305 | 0.0791525 | − | 0.996863i | \(-0.474779\pi\) | ||||
0.0791525 | + | 0.996863i | \(0.474779\pi\) | |||||||
\(468\) | −2.52442 | − | 0.693795i | −0.116691 | − | 0.0320707i | ||||
\(469\) | 8.70769 | 0.402084 | ||||||||
\(470\) | 23.1422 | + | 40.0834i | 1.06747 | + | 1.84891i | ||||
\(471\) | 6.41471 | + | 11.1106i | 0.295574 | + | 0.511950i | ||||
\(472\) | 3.18473 | − | 5.51611i | 0.146589 | − | 0.253899i | ||||
\(473\) | 25.0643 | 1.15246 | ||||||||
\(474\) | −13.9869 | + | 24.2260i | −0.642440 | + | 1.11274i | ||||
\(475\) | 10.2300 | − | 17.7189i | 0.469384 | − | 0.812997i | ||||
\(476\) | −2.65109 | −0.121513 | ||||||||
\(477\) | 0.151093 | − | 0.261701i | 0.00691809 | − | 0.0119825i | ||||
\(478\) | 9.33048 | + | 16.1609i | 0.426766 | + | 0.739181i | ||||
\(479\) | −9.92071 | − | 17.1832i | −0.453289 | − | 0.785119i | 0.545299 | − | 0.838241i | \(-0.316416\pi\) |
−0.998588 | + | 0.0531223i | \(0.983083\pi\) | |||||||
\(480\) | 11.4805 | 0.524011 | ||||||||
\(481\) | 10.1691 | + | 2.79481i | 0.463672 | + | 0.127432i | ||||
\(482\) | 1.71061 | 0.0779161 | ||||||||
\(483\) | −3.51415 | − | 6.08668i | −0.159899 | − | 0.276954i | ||||
\(484\) | −2.96249 | − | 5.13119i | −0.134659 | − | 0.233236i | ||||
\(485\) | −17.4402 | + | 30.2073i | −0.791918 | + | 1.37164i | ||||
\(486\) | −1.65109 | −0.0748951 | ||||||||
\(487\) | 3.05166 | − | 5.28562i | 0.138284 | − | 0.239514i | −0.788563 | − | 0.614954i | \(-0.789175\pi\) |
0.926847 | + | 0.375439i | \(0.122508\pi\) | |||||||
\(488\) | −0.317797 | + | 0.550440i | −0.0143860 | + | 0.0249172i | ||||
\(489\) | 21.6044 | 0.976984 | ||||||||
\(490\) | −2.41471 | + | 4.18240i | −0.109086 | + | 0.188942i | ||||
\(491\) | 1.18326 | + | 2.04947i | 0.0534000 | + | 0.0924915i | 0.891490 | − | 0.453041i | \(-0.149661\pi\) |
−0.838090 | + | 0.545532i | \(0.816328\pi\) | |||||||
\(492\) | −3.12386 | − | 5.41068i | −0.140834 | − | 0.243932i | ||||
\(493\) | 4.37720 | 0.197139 | ||||||||
\(494\) | −24.3779 | + | 24.0672i | −1.09681 | + | 1.08284i | ||||
\(495\) | −12.8032 | −0.575463 | ||||||||
\(496\) | −15.9391 | − | 27.6074i | −0.715688 | − | 1.23961i | ||||
\(497\) | 6.76855 | + | 11.7235i | 0.303611 | + | 0.525870i | ||||
\(498\) | −1.04526 | + | 1.81044i | −0.0468391 | + | 0.0811278i | ||||
\(499\) | −4.29231 | −0.192150 | −0.0960752 | − | 0.995374i | \(-0.530629\pi\) | ||||
−0.0960752 | + | 0.995374i | \(0.530629\pi\) | |||||||
\(500\) | 1.53392 | − | 2.65683i | 0.0685992 | − | 0.118817i | ||||
\(501\) | 10.6599 | − | 18.4635i | 0.476249 | − | 0.824888i | ||||
\(502\) | 21.9327 | 0.978906 | ||||||||
\(503\) | 1.05553 | − | 1.82823i | 0.0470638 | − | 0.0815169i | −0.841534 | − | 0.540204i | \(-0.818347\pi\) |
0.888598 | + | 0.458687i | \(0.151680\pi\) | |||||||
\(504\) | −1.05166 | − | 1.82152i | −0.0468445 | − | 0.0811370i | ||||
\(505\) | −16.1288 | − | 27.9359i | −0.717722 | − | 1.24313i | ||||
\(506\) | −50.7947 | −2.25810 | ||||||||
\(507\) | 11.3408 | − | 6.35510i | 0.503661 | − | 0.282240i | ||||
\(508\) | −3.97383 | −0.176310 | ||||||||
\(509\) | 12.1882 | + | 21.1106i | 0.540233 | + | 0.935710i | 0.998890 | + | 0.0470972i | \(0.0149970\pi\) |
−0.458658 | + | 0.888613i | \(0.651670\pi\) | |||||||
\(510\) | 8.81633 | + | 15.2703i | 0.390394 | + | 0.676182i | ||||
\(511\) | 0.466367 | − | 0.807771i | 0.0206309 | − | 0.0357337i | ||||
\(512\) | −1.38708 | −0.0613007 | ||||||||
\(513\) | −2.87720 | + | 4.98346i | −0.127032 | + | 0.220025i | ||||
\(514\) | −10.2711 | + | 17.7900i | −0.453038 | + | 0.784684i | ||||
\(515\) | −56.9036 | −2.50747 | ||||||||
\(516\) | −2.07889 | + | 3.60074i | −0.0915181 | + | 0.158514i | ||||
\(517\) | −20.9752 | − | 36.3301i | −0.922487 | − | 1.59779i | ||||
\(518\) | −2.41471 | − | 4.18240i | −0.106096 | − | 0.183764i | ||||
\(519\) | −3.12174 | −0.137029 | ||||||||
\(520\) | −15.7852 | + | 15.5841i | −0.692228 | + | 0.683407i | ||||
\(521\) | −17.8401 | −0.781589 | −0.390794 | − | 0.920478i | \(-0.627800\pi\) | ||||
−0.390794 | + | 0.920478i | \(0.627800\pi\) | |||||||
\(522\) | −0.989727 | − | 1.71426i | −0.0433192 | − | 0.0750310i | ||||
\(523\) | 15.5279 | + | 26.8951i | 0.678987 | + | 1.17604i | 0.975286 | + | 0.220945i | \(0.0709143\pi\) |
−0.296299 | + | 0.955095i | \(0.595752\pi\) | |||||||
\(524\) | −5.87080 | + | 10.1685i | −0.256467 | + | 0.444214i | ||||
\(525\) | 3.55553 | 0.155176 | ||||||||
\(526\) | −5.44166 | + | 9.42522i | −0.237267 | + | 0.410959i | ||||
\(527\) | 11.8163 | − | 20.4665i | 0.514728 | − | 0.891534i | ||||
\(528\) | −21.5577 | −0.938176 | ||||||||
\(529\) | −13.1985 | + | 22.8604i | −0.573847 | + | 0.993932i | ||||
\(530\) | 0.729694 | + | 1.26387i | 0.0316959 | + | 0.0548989i | ||||
\(531\) | −1.51415 | − | 2.62258i | −0.0657084 | − | 0.113810i | ||||
\(532\) | 4.17833 | 0.181154 | ||||||||
\(533\) | 29.9143 | + | 8.22145i | 1.29573 | + | 0.356110i | ||||
\(534\) | 22.1209 | 0.957266 | ||||||||
\(535\) | 2.08248 | + | 3.60695i | 0.0900333 | + | 0.155942i | ||||
\(536\) | −9.15749 | − | 15.8612i | −0.395543 | − | 0.685101i | ||||
\(537\) | 9.48545 | − | 16.4293i | 0.409327 | − | 0.708976i | ||||
\(538\) | −4.48476 | −0.193352 | ||||||||
\(539\) | 2.18860 | − | 3.79077i | 0.0942697 | − | 0.163280i | ||||
\(540\) | 1.06193 | − | 1.83932i | 0.0456982 | − | 0.0791515i | ||||
\(541\) | −33.3900 | −1.43555 | −0.717774 | − | 0.696276i | \(-0.754839\pi\) | ||||
−0.717774 | + | 0.696276i | \(0.754839\pi\) | |||||||
\(542\) | 25.3652 | − | 43.9338i | 1.08953 | − | 1.88712i | ||||
\(543\) | −0.966367 | − | 1.67380i | −0.0414708 | − | 0.0718295i | ||||
\(544\) | 7.16524 | + | 12.4106i | 0.307207 | + | 0.532098i | ||||
\(545\) | −0.136655 | −0.00585364 | ||||||||
\(546\) | −5.74026 | − | 1.57761i | −0.245660 | − | 0.0675156i | ||||
\(547\) | 9.12306 | 0.390074 | 0.195037 | − | 0.980796i | \(-0.437517\pi\) | ||||
0.195037 | + | 0.980796i | \(0.437517\pi\) | |||||||
\(548\) | 4.36305 | + | 7.55703i | 0.186380 | + | 0.322820i | ||||
\(549\) | 0.151093 | + | 0.261701i | 0.00644851 | + | 0.0111691i | ||||
\(550\) | 12.8482 | − | 22.2538i | 0.547850 | − | 0.948904i | ||||
\(551\) | −6.89881 | −0.293899 | ||||||||
\(552\) | −7.39135 | + | 12.8022i | −0.314597 | + | 0.544898i | ||||
\(553\) | −8.47130 | + | 14.6727i | −0.360236 | + | 0.623948i | ||||
\(554\) | −35.6065 | −1.51278 | ||||||||
\(555\) | −4.27777 | + | 7.40931i | −0.181581 | + | 0.314508i | ||||
\(556\) | −0.489727 | − | 0.848232i | −0.0207690 | − | 0.0359730i | ||||
\(557\) | 19.0148 | + | 32.9346i | 0.805683 | + | 1.39548i | 0.915829 | + | 0.401569i | \(0.131535\pi\) |
−0.110145 | + | 0.993915i | \(0.535132\pi\) | |||||||
\(558\) | −10.6871 | −0.452423 | ||||||||
\(559\) | −5.21555 | − | 19.9761i | −0.220594 | − | 0.844901i | ||||
\(560\) | 14.4055 | 0.608743 | ||||||||
\(561\) | −7.99079 | − | 13.8405i | −0.337371 | − | 0.584344i | ||||
\(562\) | −27.4130 | − | 47.4806i | −1.15635 | − | 2.00285i | ||||
\(563\) | 1.68326 | − | 2.91550i | 0.0709411 | − | 0.122874i | −0.828373 | − | 0.560177i | \(-0.810733\pi\) |
0.899314 | + | 0.437303i | \(0.144066\pi\) | |||||||
\(564\) | 6.95891 | 0.293023 | ||||||||
\(565\) | 15.1196 | − | 26.1879i | 0.636086 | − | 1.10173i | ||||
\(566\) | −1.22465 | + | 2.12115i | −0.0514758 | + | 0.0891587i | ||||
\(567\) | −1.00000 | −0.0419961 | ||||||||
\(568\) | 14.2364 | − | 24.6581i | 0.597345 | − | 1.03463i | ||||
\(569\) | 8.96637 | + | 15.5302i | 0.375890 | + | 0.651060i | 0.990460 | − | 0.137802i | \(-0.0440038\pi\) |
−0.614570 | + | 0.788862i | \(0.710671\pi\) | |||||||
\(570\) | −13.8952 | − | 24.0672i | −0.582007 | − | 1.00807i | ||||
\(571\) | 39.4274 | 1.64998 | 0.824992 | − | 0.565144i | \(-0.191180\pi\) | ||||
0.824992 | + | 0.565144i | \(0.191180\pi\) | |||||||
\(572\) | −8.15497 | + | 8.05106i | −0.340976 | + | 0.336632i | ||||
\(573\) | 2.27389 | 0.0949931 | ||||||||
\(574\) | −7.10331 | − | 12.3033i | −0.296487 | − | 0.513530i | ||||
\(575\) | −12.4947 | − | 21.6414i | −0.521063 | − | 0.902508i | ||||
\(576\) | −1.68473 | + | 2.91803i | −0.0701969 | + | 0.121585i | ||||
\(577\) | 16.4239 | 0.683737 | 0.341868 | − | 0.939748i | \(-0.388940\pi\) | ||||
0.341868 | + | 0.939748i | \(0.388940\pi\) | |||||||
\(578\) | 3.02936 | − | 5.24700i | 0.126005 | − | 0.218246i | ||||
\(579\) | −2.19354 | + | 3.79932i | −0.0911603 | + | 0.157894i | ||||
\(580\) | 2.54624 | 0.105727 | ||||||||
\(581\) | −0.633070 | + | 1.09651i | −0.0262642 | + | 0.0454909i | ||||
\(582\) | 9.84463 | + | 17.0514i | 0.408073 | + | 0.706803i | ||||
\(583\) | −0.661367 | − | 1.14552i | −0.0273910 | − | 0.0474426i | ||||
\(584\) | −1.96183 | −0.0811811 | ||||||||
\(585\) | 2.66418 | + | 10.2041i | 0.110150 | + | 0.421888i | ||||
\(586\) | 14.5817 | 0.602365 | ||||||||
\(587\) | 7.46355 | + | 12.9273i | 0.308054 | + | 0.533565i | 0.977937 | − | 0.208902i | \(-0.0669890\pi\) |
−0.669883 | + | 0.742467i | \(0.733656\pi\) | |||||||
\(588\) | 0.363055 | + | 0.628829i | 0.0149721 | + | 0.0259325i | ||||
\(589\) | −18.6235 | + | 32.2568i | −0.767366 | + | 1.32912i | ||||
\(590\) | 14.6249 | 0.602098 | ||||||||
\(591\) | −2.62920 | + | 4.55390i | −0.108151 | + | 0.187322i | ||||
\(592\) | −7.20275 | + | 12.4755i | −0.296031 | + | 0.512741i | ||||
\(593\) | 29.9164 | 1.22852 | 0.614260 | − | 0.789103i | \(-0.289454\pi\) | ||||
0.614260 | + | 0.789103i | \(0.289454\pi\) | |||||||
\(594\) | −3.61359 | + | 6.25891i | −0.148267 | + | 0.256806i | ||||
\(595\) | 5.33969 | + | 9.24862i | 0.218906 | + | 0.379157i | ||||
\(596\) | 1.11640 | + | 1.93366i | 0.0457295 | + | 0.0792058i | ||||
\(597\) | −13.1960 | −0.540074 | ||||||||
\(598\) | 10.5697 | + | 40.4831i | 0.432226 | + | 1.65548i | ||||
\(599\) | 35.1911 | 1.43787 | 0.718935 | − | 0.695077i | \(-0.244630\pi\) | ||||
0.718935 | + | 0.695077i | \(0.244630\pi\) | |||||||
\(600\) | −3.73920 | − | 6.47648i | −0.152652 | − | 0.264401i | ||||
\(601\) | −8.56580 | − | 14.8364i | −0.349406 | − | 0.605190i | 0.636738 | − | 0.771080i | \(-0.280283\pi\) |
−0.986144 | + | 0.165891i | \(0.946950\pi\) | |||||||
\(602\) | −4.72717 | + | 8.18770i | −0.192665 | + | 0.333706i | ||||
\(603\) | −8.70769 | −0.354604 | ||||||||
\(604\) | −6.04884 | + | 10.4769i | −0.246124 | + | 0.426299i | ||||
\(605\) | −11.9338 | + | 20.6699i | −0.485178 | + | 0.840353i | ||||
\(606\) | −18.2087 | −0.739680 | ||||||||
\(607\) | −11.2233 | + | 19.4393i | −0.455540 | + | 0.789018i | −0.998719 | − | 0.0505990i | \(-0.983887\pi\) |
0.543180 | + | 0.839617i | \(0.317220\pi\) | |||||||
\(608\) | −11.2930 | − | 19.5600i | −0.457991 | − | 0.793263i | ||||
\(609\) | −0.599437 | − | 1.03826i | −0.0242904 | − | 0.0420722i | ||||
\(610\) | −1.45939 | −0.0590889 | ||||||||
\(611\) | −24.5902 | + | 24.2769i | −0.994814 | + | 0.982138i | ||||
\(612\) | 2.65109 | 0.107164 | ||||||||
\(613\) | 10.1029 | + | 17.4988i | 0.408053 | + | 0.706768i | 0.994672 | − | 0.103095i | \(-0.0328746\pi\) |
−0.586619 | + | 0.809863i | \(0.699541\pi\) | |||||||
\(614\) | −9.62027 | − | 16.6628i | −0.388243 | − | 0.672456i | ||||
\(615\) | −12.5838 | + | 21.7958i | −0.507429 | + | 0.878893i | ||||
\(616\) | −9.20662 | −0.370945 | ||||||||
\(617\) | −19.3408 | + | 33.4992i | −0.778630 | + | 1.34863i | 0.154102 | + | 0.988055i | \(0.450751\pi\) |
−0.932732 | + | 0.360571i | \(0.882582\pi\) | |||||||
\(618\) | −16.0605 | + | 27.8175i | −0.646047 | + | 1.11899i | ||||
\(619\) | 32.5109 | 1.30672 | 0.653362 | − | 0.757045i | \(-0.273358\pi\) | ||||
0.653362 | + | 0.757045i | \(0.273358\pi\) | |||||||
\(620\) | 6.87362 | − | 11.9055i | 0.276051 | − | 0.478135i | ||||
\(621\) | 3.51415 | + | 6.08668i | 0.141018 | + | 0.244250i | ||||
\(622\) | 20.6468 | + | 35.7613i | 0.827862 | + | 1.43390i | ||||
\(623\) | 13.3977 | 0.536769 | ||||||||
\(624\) | 4.48585 | + | 17.1813i | 0.179578 | + | 0.687804i | ||||
\(625\) | −30.1359 | −1.20543 | ||||||||
\(626\) | 0.153616 | + | 0.266071i | 0.00613975 | + | 0.0106344i | ||||
\(627\) | 12.5941 | + | 21.8136i | 0.502960 | + | 0.871152i | ||||
\(628\) | −4.65778 | + | 8.06752i | −0.185866 | + | 0.321929i | ||||
\(629\) | −10.6794 | −0.425815 | ||||||||
\(630\) | 2.41471 | − | 4.18240i | 0.0962044 | − | 0.166631i | ||||
\(631\) | 18.9310 | − | 32.7894i | 0.753630 | − | 1.30533i | −0.192422 | − | 0.981312i | \(-0.561634\pi\) |
0.946052 | − | 0.324014i | \(-0.105032\pi\) | |||||||
\(632\) | 35.6356 | 1.41751 | ||||||||
\(633\) | −8.72077 | + | 15.1048i | −0.346620 | + | 0.600363i | ||||
\(634\) | 0.445821 | + | 0.772184i | 0.0177058 | + | 0.0306674i | ||||
\(635\) | 8.00388 | + | 13.8631i | 0.317624 | + | 0.550141i | ||||
\(636\) | 0.219421 | 0.00870060 | ||||||||
\(637\) | −3.47664 | − | 0.955496i | −0.137749 | − | 0.0378581i | ||||
\(638\) | −8.66447 | −0.343030 | ||||||||
\(639\) | −6.76855 | − | 11.7235i | −0.267760 | − | 0.463774i | ||||
\(640\) | −19.6168 | − | 33.9772i | −0.775421 | − | 1.34307i | ||||
\(641\) | −11.4314 | + | 19.7997i | −0.451512 | + | 0.782042i | −0.998480 | − | 0.0551112i | \(-0.982449\pi\) |
0.546968 | + | 0.837154i | \(0.315782\pi\) | |||||||
\(642\) | 2.35103 | 0.0927877 | ||||||||
\(643\) | −21.7915 | + | 37.7440i | −0.859373 | + | 1.48848i | 0.0131542 | + | 0.999913i | \(0.495813\pi\) |
−0.872528 | + | 0.488565i | \(0.837521\pi\) | |||||||
\(644\) | 2.55166 | − | 4.41960i | 0.100549 | − | 0.174157i | ||||
\(645\) | 16.7488 | 0.659483 | ||||||||
\(646\) | 17.3446 | − | 30.0418i | 0.682415 | − | 1.18198i | ||||
\(647\) | 1.50388 | + | 2.60479i | 0.0591234 | + | 0.102405i | 0.894072 | − | 0.447923i | \(-0.147836\pi\) |
−0.834949 | + | 0.550328i | \(0.814503\pi\) | |||||||
\(648\) | 1.05166 | + | 1.82152i | 0.0413130 | + | 0.0715561i | ||||
\(649\) | −13.2555 | −0.520323 | ||||||||
\(650\) | −20.4097 | − | 5.60926i | −0.800533 | − | 0.220013i | ||||
\(651\) | −6.47277 | −0.253688 | ||||||||
\(652\) | 7.84357 | + | 13.5855i | 0.307178 | + | 0.532048i | ||||
\(653\) | 16.9621 | + | 29.3792i | 0.663778 | + | 1.14970i | 0.979615 | + | 0.200884i | \(0.0643813\pi\) |
−0.315837 | + | 0.948813i | \(0.602285\pi\) | |||||||
\(654\) | −0.0385694 | + | 0.0668041i | −0.00150818 | + | 0.00261225i | ||||
\(655\) | 47.2987 | 1.84811 | ||||||||
\(656\) | −21.1882 | + | 36.6990i | −0.827260 | + | 1.43286i | ||||
\(657\) | −0.466367 | + | 0.807771i | −0.0181947 | + | 0.0315142i | ||||
\(658\) | 15.8238 | 0.616876 | ||||||||
\(659\) | 21.7297 | − | 37.6369i | 0.846469 | − | 1.46613i | −0.0378709 | − | 0.999283i | \(-0.512058\pi\) |
0.884340 | − | 0.466844i | \(-0.154609\pi\) | |||||||
\(660\) | −4.64828 | − | 8.05106i | −0.180934 | − | 0.313387i | ||||
\(661\) | −19.1429 | − | 33.1565i | −0.744574 | − | 1.28964i | −0.950393 | − | 0.311050i | \(-0.899319\pi\) |
0.205819 | − | 0.978590i | \(-0.434014\pi\) | |||||||
\(662\) | 2.54274 | 0.0988262 | ||||||||
\(663\) | −9.36799 | + | 9.24862i | −0.363823 | + | 0.359187i | ||||
\(664\) | 2.66309 | 0.103348 | ||||||||
\(665\) | −8.41577 | − | 14.5765i | −0.326350 | − | 0.565254i | ||||
\(666\) | 2.41471 | + | 4.18240i | 0.0935681 | + | 0.162065i | ||||
\(667\) | −4.21302 | + | 7.29717i | −0.163129 | + | 0.282548i | ||||
\(668\) | 15.4805 | 0.598959 | ||||||||
\(669\) | 4.00106 | − | 6.93004i | 0.154690 | − | 0.267931i | ||||
\(670\) | 21.0265 | − | 36.4190i | 0.812326 | − | 1.40699i | ||||
\(671\) | 1.32273 | 0.0510635 | ||||||||
\(672\) | 1.96249 | − | 3.39914i | 0.0757048 | − | 0.131125i | ||||
\(673\) | −14.0902 | − | 24.4050i | −0.543138 | − | 0.940743i | −0.998722 | − | 0.0505499i | \(-0.983903\pi\) |
0.455583 | − | 0.890193i | \(-0.349431\pi\) | |||||||
\(674\) | −2.33582 | − | 4.04576i | −0.0899724 | − | 0.155837i | ||||
\(675\) | −3.55553 | −0.136852 | ||||||||
\(676\) | 8.11359 | + | 4.82415i | 0.312061 | + | 0.185544i | ||||
\(677\) | −31.7253 | −1.21930 | −0.609651 | − | 0.792670i | \(-0.708691\pi\) | ||||
−0.609651 | + | 0.792670i | \(0.708691\pi\) | |||||||
\(678\) | −8.53469 | − | 14.7825i | −0.327773 | − | 0.567719i | ||||
\(679\) | 5.96249 | + | 10.3273i | 0.228819 | + | 0.396327i | ||||
\(680\) | 11.2310 | − | 19.4527i | 0.430691 | − | 0.745979i | ||||
\(681\) | 8.05952 | 0.308841 | ||||||||
\(682\) | −23.3899 | + | 40.5125i | −0.895645 | + | 1.55130i | ||||
\(683\) | −4.28698 | + | 7.42526i | −0.164037 | + | 0.284120i | −0.936313 | − | 0.351167i | \(-0.885785\pi\) |
0.772276 | + | 0.635287i | \(0.219118\pi\) | |||||||
\(684\) | −4.17833 | −0.159762 | ||||||||
\(685\) | 17.5757 | − | 30.4420i | 0.671532 | − | 1.16313i | ||||
\(686\) | 0.825547 | + | 1.42989i | 0.0315195 | + | 0.0545934i | ||||
\(687\) | −4.24026 | − | 7.34434i | −0.161776 | − | 0.280204i | ||||
\(688\) | 28.2010 | 1.07515 | ||||||||
\(689\) | −0.775352 | + | 0.765473i | −0.0295386 | + | 0.0291622i | ||||
\(690\) | −33.9426 | −1.29217 | ||||||||
\(691\) | 3.47518 | + | 6.01919i | 0.132202 | + | 0.228981i | 0.924525 | − | 0.381121i | \(-0.124462\pi\) |
−0.792323 | + | 0.610102i | \(0.791129\pi\) | |||||||
\(692\) | −1.13336 | − | 1.96304i | −0.0430839 | − | 0.0746235i | ||||
\(693\) | −2.18860 | + | 3.79077i | −0.0831381 | + | 0.143999i | ||||
\(694\) | −41.9213 | −1.59131 | ||||||||
\(695\) | −1.97277 | + | 3.41693i | −0.0748312 | + | 0.129612i | ||||
\(696\) | −1.26080 | + | 2.18378i | −0.0477906 | + | 0.0827758i | ||||
\(697\) | −31.4154 | −1.18994 | ||||||||
\(698\) | 0.896287 | − | 1.55242i | 0.0339250 | − | 0.0587598i | ||||
\(699\) | −5.12280 | − | 8.87294i | −0.193762 | − | 0.335606i | ||||
\(700\) | 1.29085 | + | 2.23582i | 0.0487896 | + | 0.0845061i | ||||
\(701\) | −21.8443 | −0.825049 | −0.412525 | − | 0.910946i | \(-0.635353\pi\) | ||||
−0.412525 | + | 0.910946i | \(0.635353\pi\) | |||||||
\(702\) | 5.74026 | + | 1.57761i | 0.216652 | + | 0.0595432i | ||||
\(703\) | 16.8315 | 0.634814 | ||||||||
\(704\) | 7.37439 | + | 12.7728i | 0.277933 | + | 0.481394i | ||||
\(705\) | −14.0163 | − | 24.2769i | −0.527883 | − | 0.914321i | ||||
\(706\) | −8.69248 | + | 15.0558i | −0.327146 | + | 0.566633i | ||||
\(707\) | −11.0283 | −0.414762 | ||||||||
\(708\) | 1.09944 | − | 1.90428i | 0.0413194 | − | 0.0715673i | ||||
\(709\) | −4.87187 | + | 8.43832i | −0.182967 | + | 0.316908i | −0.942890 | − | 0.333106i | \(-0.891903\pi\) |
0.759923 | + | 0.650013i | \(0.225237\pi\) | |||||||
\(710\) | 65.3764 | 2.45353 | ||||||||
\(711\) | 8.47130 | − | 14.6727i | 0.317699 | − | 0.550270i | ||||
\(712\) | −14.0898 | − | 24.4043i | −0.528039 | − | 0.914590i | ||||
\(713\) | 22.7463 | + | 39.3977i | 0.851854 | + | 1.47545i | ||||
\(714\) | 6.02830 | 0.225603 | ||||||||
\(715\) | 44.5123 | + | 12.2335i | 1.66467 | + | 0.457505i | ||||
\(716\) | 13.7750 | 0.514794 | ||||||||
\(717\) | −5.65109 | − | 9.78798i | −0.211044 | − | 0.365539i | ||||
\(718\) | −22.4621 | − | 38.9055i | −0.838278 | − | 1.45194i | ||||
\(719\) | 2.52296 | − | 4.36989i | 0.0940905 | − | 0.162970i | −0.815138 | − | 0.579267i | \(-0.803339\pi\) |
0.909229 | + | 0.416297i | \(0.136672\pi\) | |||||||
\(720\) | −14.4055 | −0.536861 | ||||||||
\(721\) | −9.72717 | + | 16.8480i | −0.362259 | + | 0.627451i | ||||
\(722\) | −11.6511 | + | 20.1803i | −0.433609 | + | 0.751032i | ||||
\(723\) | −1.03605 | −0.0385310 | ||||||||
\(724\) | 0.701688 | − | 1.21536i | 0.0260780 | − | 0.0451685i | ||||
\(725\) | −2.13132 | − | 3.69155i | −0.0791552 | − | 0.137101i | ||||
\(726\) | 6.73638 | + | 11.6678i | 0.250011 | + | 0.433031i | ||||
\(727\) | 6.66659 | 0.247250 | 0.123625 | − | 0.992329i | \(-0.460548\pi\) | ||||
0.123625 | + | 0.992329i | \(0.460548\pi\) | |||||||
\(728\) | 1.91577 | + | 7.33763i | 0.0710032 | + | 0.271951i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −2.25228 | − | 3.90107i | −0.0833607 | − | 0.144385i | ||||
\(731\) | 10.4533 | + | 18.1056i | 0.386629 | + | 0.669660i | ||||
\(732\) | −0.109710 | + | 0.190024i | −0.00405501 | + | 0.00702349i | ||||
\(733\) | 47.4076 | 1.75104 | 0.875520 | − | 0.483181i | \(-0.160519\pi\) | ||||
0.875520 | + | 0.483181i | \(0.160519\pi\) | |||||||
\(734\) | 5.16659 | − | 8.94880i | 0.190702 | − | 0.330306i | ||||
\(735\) | 1.46249 | − | 2.53311i | 0.0539448 | − | 0.0934352i | ||||
\(736\) | −27.5860 | −1.01683 | ||||||||
\(737\) | −19.0577 | + | 33.0088i | −0.701998 | + | 1.21590i | ||||
\(738\) | 7.10331 | + | 12.3033i | 0.261477 | + | 0.452891i | ||||
\(739\) | −3.09023 | − | 5.35243i | −0.113676 | − | 0.196892i | 0.803574 | − | 0.595205i | \(-0.202929\pi\) |
−0.917250 | + | 0.398313i | \(0.869596\pi\) | |||||||
\(740\) | −6.21225 | −0.228367 | ||||||||
\(741\) | 14.7647 | − | 14.5765i | 0.542394 | − | 0.535483i | ||||
\(742\) | 0.498939 | 0.0183166 | ||||||||
\(743\) | 11.6667 | + | 20.2073i | 0.428010 | + | 0.741335i | 0.996696 | − | 0.0812197i | \(-0.0258815\pi\) |
−0.568686 | + | 0.822554i | \(0.692548\pi\) | |||||||
\(744\) | 6.80712 | + | 11.7903i | 0.249561 | + | 0.432253i | ||||
\(745\) | 4.49719 | − | 7.78936i | 0.164764 | − | 0.285380i | ||||
\(746\) | −1.94553 | −0.0712309 | ||||||||
\(747\) | 0.633070 | − | 1.09651i | 0.0231628 | − | 0.0401192i | ||||
\(748\) | 5.80219 | − | 10.0497i | 0.212149 | − | 0.367453i | ||||
\(749\) | 1.42392 | 0.0520290 | ||||||||
\(750\) | −3.48797 | + | 6.04135i | −0.127363 | + | 0.220599i | ||||
\(751\) | 0.488375 | + | 0.845890i | 0.0178211 | + | 0.0308670i | 0.874798 | − | 0.484487i | \(-0.160994\pi\) |
−0.856977 | + | 0.515354i | \(0.827660\pi\) | |||||||
\(752\) | −23.6001 | − | 40.8766i | −0.860607 | − | 1.49062i | ||||
\(753\) | −13.2838 | −0.484087 | ||||||||
\(754\) | 1.80296 | + | 6.90554i | 0.0656598 | + | 0.251485i | ||||
\(755\) | 48.7331 | 1.77358 | ||||||||
\(756\) | −0.363055 | − | 0.628829i | −0.0132042 | − | 0.0228703i | ||||
\(757\) | 4.38254 | + | 7.59078i | 0.159286 | + | 0.275892i | 0.934611 | − | 0.355670i | \(-0.115747\pi\) |
−0.775325 | + | 0.631562i | \(0.782414\pi\) | |||||||
\(758\) | 19.9837 | − | 34.6128i | 0.725841 | − | 1.25719i | ||||
\(759\) | 30.7643 | 1.11667 | ||||||||
\(760\) | −17.7010 | + | 30.6590i | −0.642083 | + | 1.11212i | ||||
\(761\) | 10.7276 | − | 18.5807i | 0.388874 | − | 0.673550i | −0.603424 | − | 0.797420i | \(-0.706197\pi\) |
0.992298 | + | 0.123871i | \(0.0395308\pi\) | |||||||
\(762\) | 9.03605 | 0.327341 | ||||||||
\(763\) | −0.0233599 | + | 0.0404605i | −0.000845685 | + | 0.00146477i | ||||
\(764\) | 0.825547 | + | 1.42989i | 0.0298672 | + | 0.0517316i | ||||
\(765\) | −5.33969 | − | 9.24862i | −0.193057 | − | 0.334385i | ||||
\(766\) | −4.11319 | −0.148615 | ||||||||
\(767\) | 2.75828 | + | 10.5645i | 0.0995957 | + | 0.381463i | ||||
\(768\) | −15.4076 | −0.555975 | ||||||||
\(769\) | −11.0750 | − | 19.1825i | −0.399375 | − | 0.691738i | 0.594274 | − | 0.804263i | \(-0.297440\pi\) |
−0.993649 | + | 0.112525i | \(0.964106\pi\) | |||||||
\(770\) | −10.5697 | − | 18.3072i | −0.380905 | − | 0.659746i | ||||
\(771\) | 6.22077 | − | 10.7747i |