Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(401,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.401");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.v (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 401.2 | ||
Character | \(\chi\) | \(=\) | 930.401 |
Dual form | 930.2.v.a.821.2 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.587785 | + | 0.809017i | −0.415627 | + | 0.572061i | ||||
\(3\) | −1.71414 | − | 0.248453i | −0.989658 | − | 0.143444i | ||||
\(4\) | −0.309017 | − | 0.951057i | −0.154508 | − | 0.475528i | ||||
\(5\) | − | 1.00000i | − | 0.447214i | ||||||
\(6\) | 1.20855 | − | 1.24073i | 0.493388 | − | 0.506526i | ||||
\(7\) | 1.53704 | + | 4.73053i | 0.580947 | + | 1.78797i | 0.614970 | + | 0.788550i | \(0.289168\pi\) |
−0.0340234 | + | 0.999421i | \(0.510832\pi\) | |||||||
\(8\) | 0.951057 | + | 0.309017i | 0.336249 | + | 0.109254i | ||||
\(9\) | 2.87654 | + | 0.851766i | 0.958847 | + | 0.283922i | ||||
\(10\) | 0.809017 | + | 0.587785i | 0.255834 | + | 0.185874i | ||||
\(11\) | −1.90924 | − | 5.87605i | −0.575659 | − | 1.77169i | −0.633926 | − | 0.773394i | \(-0.718558\pi\) |
0.0582675 | − | 0.998301i | \(-0.481442\pi\) | |||||||
\(12\) | 0.293405 | + | 1.70702i | 0.0846987 | + | 0.492774i | ||||
\(13\) | 0.906168 | + | 1.24723i | 0.251326 | + | 0.345920i | 0.915975 | − | 0.401235i | \(-0.131419\pi\) |
−0.664649 | + | 0.747156i | \(0.731419\pi\) | |||||||
\(14\) | −4.73053 | − | 1.53704i | −1.26429 | − | 0.410792i | ||||
\(15\) | −0.248453 | + | 1.71414i | −0.0641503 | + | 0.442589i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −1.47453 | + | 4.53813i | −0.357626 | + | 1.10066i | 0.596845 | + | 0.802356i | \(0.296421\pi\) |
−0.954471 | + | 0.298303i | \(0.903579\pi\) | |||||||
\(18\) | −2.37988 | + | 1.82652i | −0.560944 | + | 0.430514i | ||||
\(19\) | 0.335667 | + | 0.243877i | 0.0770074 | + | 0.0559491i | 0.625623 | − | 0.780126i | \(-0.284845\pi\) |
−0.548615 | + | 0.836075i | \(0.684845\pi\) | |||||||
\(20\) | −0.951057 | + | 0.309017i | −0.212663 | + | 0.0690983i | ||||
\(21\) | −1.45939 | − | 8.49066i | −0.318465 | − | 1.85281i | ||||
\(22\) | 5.87605 | + | 1.90924i | 1.25278 | + | 0.407052i | ||||
\(23\) | 2.47418 | − | 7.61474i | 0.515902 | − | 1.58778i | −0.265733 | − | 0.964047i | \(-0.585614\pi\) |
0.781635 | − | 0.623736i | \(-0.214386\pi\) | |||||||
\(24\) | −1.55347 | − | 0.765991i | −0.317100 | − | 0.156357i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | −1.54166 | −0.302345 | ||||||||
\(27\) | −4.71917 | − | 2.17473i | −0.908204 | − | 0.418527i | ||||
\(28\) | 4.02403 | − | 2.92363i | 0.760470 | − | 0.552513i | ||||
\(29\) | 1.75623 | + | 1.27598i | 0.326124 | + | 0.236943i | 0.738784 | − | 0.673942i | \(-0.235400\pi\) |
−0.412660 | + | 0.910885i | \(0.635400\pi\) | |||||||
\(30\) | −1.24073 | − | 1.20855i | −0.226525 | − | 0.220650i | ||||
\(31\) | 4.76219 | + | 2.88471i | 0.855315 | + | 0.518109i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 1.81279 | + | 10.5467i | 0.315565 | + | 1.83595i | ||||
\(34\) | −2.80472 | − | 3.86037i | −0.481006 | − | 0.662047i | ||||
\(35\) | 4.73053 | − | 1.53704i | 0.799605 | − | 0.259807i | ||||
\(36\) | −0.0788226 | − | 2.99896i | −0.0131371 | − | 0.499827i | ||||
\(37\) | 2.89843i | 0.476498i | 0.971204 | + | 0.238249i | \(0.0765735\pi\) | ||||
−0.971204 | + | 0.238249i | \(0.923426\pi\) | |||||||
\(38\) | −0.394601 | + | 0.128214i | −0.0640127 | + | 0.0207990i | ||||
\(39\) | −1.24342 | − | 2.36307i | −0.199106 | − | 0.378394i | ||||
\(40\) | 0.309017 | − | 0.951057i | 0.0488599 | − | 0.150375i | ||||
\(41\) | −2.52980 | + | 3.48197i | −0.395088 | + | 0.543792i | −0.959503 | − | 0.281699i | \(-0.909102\pi\) |
0.564415 | + | 0.825491i | \(0.309102\pi\) | |||||||
\(42\) | 7.72690 | + | 3.81002i | 1.19229 | + | 0.587898i | ||||
\(43\) | 2.91877 | − | 4.01734i | 0.445108 | − | 0.612639i | −0.526229 | − | 0.850343i | \(-0.676395\pi\) |
0.971338 | + | 0.237704i | \(0.0763947\pi\) | |||||||
\(44\) | −4.99846 | + | 3.63160i | −0.753547 | + | 0.547484i | ||||
\(45\) | 0.851766 | − | 2.87654i | 0.126974 | − | 0.428810i | ||||
\(46\) | 4.70617 | + | 6.47748i | 0.693886 | + | 0.955053i | ||||
\(47\) | 6.07142 | + | 8.35659i | 0.885608 | + | 1.21893i | 0.974836 | + | 0.222923i | \(0.0715598\pi\) |
−0.0892285 | + | 0.996011i | \(0.528440\pi\) | |||||||
\(48\) | 1.53280 | − | 0.806543i | 0.221241 | − | 0.116414i | ||||
\(49\) | −14.3523 | + | 10.4275i | −2.05032 | + | 1.48965i | ||||
\(50\) | 0.587785 | − | 0.809017i | 0.0831254 | − | 0.114412i | ||||
\(51\) | 3.65506 | − | 7.41264i | 0.511811 | − | 1.03798i | ||||
\(52\) | 0.906168 | − | 1.24723i | 0.125663 | − | 0.172960i | ||||
\(53\) | −3.37203 | + | 10.3780i | −0.463184 | + | 1.42553i | 0.398069 | + | 0.917356i | \(0.369681\pi\) |
−0.861253 | + | 0.508177i | \(0.830319\pi\) | |||||||
\(54\) | 4.53325 | − | 2.53961i | 0.616897 | − | 0.345597i | ||||
\(55\) | −5.87605 | + | 1.90924i | −0.792326 | + | 0.257442i | ||||
\(56\) | 4.97397i | 0.664675i | ||||||||
\(57\) | −0.514788 | − | 0.501436i | −0.0681854 | − | 0.0664168i | ||||
\(58\) | −2.06458 | + | 0.670821i | −0.271092 | + | 0.0880832i | ||||
\(59\) | 7.94684 | + | 10.9379i | 1.03459 | + | 1.42399i | 0.901444 | + | 0.432896i | \(0.142508\pi\) |
0.133147 | + | 0.991096i | \(0.457492\pi\) | |||||||
\(60\) | 1.70702 | − | 0.293405i | 0.220375 | − | 0.0378784i | ||||
\(61\) | 2.73514i | 0.350199i | 0.984551 | + | 0.175099i | \(0.0560247\pi\) | ||||
−0.984551 | + | 0.175099i | \(0.943975\pi\) | |||||||
\(62\) | −5.13292 | + | 2.15710i | −0.651882 | + | 0.273952i | ||||
\(63\) | 0.392061 | + | 14.9168i | 0.0493951 | + | 1.87934i | ||||
\(64\) | 0.809017 | + | 0.587785i | 0.101127 | + | 0.0734732i | ||||
\(65\) | 1.24723 | − | 0.906168i | 0.154700 | − | 0.112396i | ||||
\(66\) | −9.59800 | − | 4.73263i | −1.18143 | − | 0.582546i | ||||
\(67\) | 11.5154 | 1.40683 | 0.703417 | − | 0.710777i | \(-0.251657\pi\) | ||||
0.703417 | + | 0.710777i | \(0.251657\pi\) | |||||||
\(68\) | 4.77168 | 0.578651 | ||||||||
\(69\) | −6.13299 | + | 12.4380i | −0.738325 | + | 1.49736i | ||||
\(70\) | −1.53704 | + | 4.73053i | −0.183712 | + | 0.565406i | ||||
\(71\) | −5.25039 | − | 1.70596i | −0.623107 | − | 0.202460i | −0.0195876 | − | 0.999808i | \(-0.506235\pi\) |
−0.603519 | + | 0.797348i | \(0.706235\pi\) | |||||||
\(72\) | 2.47254 | + | 1.69898i | 0.291392 | + | 0.200227i | ||||
\(73\) | −4.72751 | + | 1.53606i | −0.553313 | + | 0.179782i | −0.572310 | − | 0.820037i | \(-0.693953\pi\) |
0.0189972 | + | 0.999820i | \(0.493953\pi\) | |||||||
\(74\) | −2.34488 | − | 1.70365i | −0.272586 | − | 0.198046i | ||||
\(75\) | 1.71414 | + | 0.248453i | 0.197932 | + | 0.0286889i | ||||
\(76\) | 0.128214 | − | 0.394601i | 0.0147071 | − | 0.0452638i | ||||
\(77\) | 24.8622 | − | 18.0635i | 2.83331 | − | 2.05852i | ||||
\(78\) | 2.64263 | + | 0.383032i | 0.299219 | + | 0.0433698i | ||||
\(79\) | 2.36777 | + | 0.769334i | 0.266394 | + | 0.0865568i | 0.439169 | − | 0.898405i | \(-0.355273\pi\) |
−0.172774 | + | 0.984961i | \(0.555273\pi\) | |||||||
\(80\) | 0.587785 | + | 0.809017i | 0.0657164 | + | 0.0904508i | ||||
\(81\) | 7.54899 | + | 4.90028i | 0.838777 | + | 0.544476i | ||||
\(82\) | −1.32999 | − | 4.09330i | −0.146873 | − | 0.452029i | ||||
\(83\) | 4.55277 | + | 3.30778i | 0.499732 | + | 0.363076i | 0.808915 | − | 0.587926i | \(-0.200055\pi\) |
−0.309183 | + | 0.951003i | \(0.600055\pi\) | |||||||
\(84\) | −7.62412 | + | 4.01172i | −0.831860 | + | 0.437714i | ||||
\(85\) | 4.53813 | + | 1.47453i | 0.492230 | + | 0.159935i | ||||
\(86\) | 1.53449 | + | 4.72267i | 0.165468 | + | 0.509259i | ||||
\(87\) | −2.69341 | − | 2.62355i | −0.288763 | − | 0.281274i | ||||
\(88\) | − | 6.17844i | − | 0.658624i | ||||||
\(89\) | 2.61775 | + | 8.05661i | 0.277481 | + | 0.853999i | 0.988552 | + | 0.150879i | \(0.0482103\pi\) |
−0.711071 | + | 0.703120i | \(0.751790\pi\) | |||||||
\(90\) | 1.82652 | + | 2.37988i | 0.192532 | + | 0.250862i | ||||
\(91\) | −4.50725 | + | 6.20370i | −0.472488 | + | 0.650325i | ||||
\(92\) | −8.00661 | −0.834747 | ||||||||
\(93\) | −7.44634 | − | 6.12797i | −0.772149 | − | 0.635441i | ||||
\(94\) | −10.3293 | −1.06539 | ||||||||
\(95\) | 0.243877 | − | 0.335667i | 0.0250212 | − | 0.0344387i | ||||
\(96\) | −0.248453 | + | 1.71414i | −0.0253576 | + | 0.174949i | ||||
\(97\) | −0.828372 | − | 2.54947i | −0.0841084 | − | 0.258859i | 0.900154 | − | 0.435572i | \(-0.143454\pi\) |
−0.984263 | + | 0.176712i | \(0.943454\pi\) | |||||||
\(98\) | − | 17.7404i | − | 1.79205i | ||||||
\(99\) | −0.487001 | − | 18.5289i | −0.0489454 | − | 1.86223i | ||||
\(100\) | 0.309017 | + | 0.951057i | 0.0309017 | + | 0.0951057i | ||||
\(101\) | 4.39854 | + | 1.42917i | 0.437671 | + | 0.142208i | 0.519561 | − | 0.854433i | \(-0.326096\pi\) |
−0.0818898 | + | 0.996641i | \(0.526096\pi\) | |||||||
\(102\) | 3.84856 | + | 7.31405i | 0.381064 | + | 0.724198i | ||||
\(103\) | 9.78248 | + | 7.10738i | 0.963896 | + | 0.700311i | 0.954052 | − | 0.299640i | \(-0.0968666\pi\) |
0.00984364 | + | 0.999952i | \(0.496867\pi\) | |||||||
\(104\) | 0.476401 | + | 1.46621i | 0.0467149 | + | 0.143774i | ||||
\(105\) | −8.49066 | + | 1.45939i | −0.828604 | + | 0.142422i | ||||
\(106\) | −6.41398 | − | 8.82808i | −0.622981 | − | 0.857459i | ||||
\(107\) | −13.0750 | − | 4.24834i | −1.26401 | − | 0.410703i | −0.401090 | − | 0.916039i | \(-0.631369\pi\) |
−0.862923 | + | 0.505336i | \(0.831369\pi\) | |||||||
\(108\) | −0.609989 | + | 5.16022i | −0.0586962 | + | 0.496543i | ||||
\(109\) | 2.99968 | − | 2.17939i | 0.287317 | − | 0.208748i | −0.434786 | − | 0.900534i | \(-0.643176\pi\) |
0.722103 | + | 0.691786i | \(0.243176\pi\) | |||||||
\(110\) | 1.90924 | − | 5.87605i | 0.182039 | − | 0.560259i | ||||
\(111\) | 0.720123 | − | 4.96831i | 0.0683511 | − | 0.471571i | ||||
\(112\) | −4.02403 | − | 2.92363i | −0.380235 | − | 0.276257i | ||||
\(113\) | −10.7180 | + | 3.48250i | −1.00827 | + | 0.327606i | −0.766165 | − | 0.642644i | \(-0.777838\pi\) |
−0.242104 | + | 0.970250i | \(0.577838\pi\) | |||||||
\(114\) | 0.708255 | − | 0.121736i | 0.0663342 | − | 0.0114016i | ||||
\(115\) | −7.61474 | − | 2.47418i | −0.710078 | − | 0.230718i | ||||
\(116\) | 0.670821 | − | 2.06458i | 0.0622842 | − | 0.191691i | ||||
\(117\) | 1.54428 | + | 4.35956i | 0.142769 | + | 0.403042i | ||||
\(118\) | −13.5200 | −1.24461 | ||||||||
\(119\) | −23.7342 | −2.17571 | ||||||||
\(120\) | −0.765991 | + | 1.55347i | −0.0699251 | + | 0.141811i | ||||
\(121\) | −21.9835 | + | 15.9720i | −1.99850 | + | 1.45200i | ||||
\(122\) | −2.21278 | − | 1.60768i | −0.200335 | − | 0.145552i | ||||
\(123\) | 5.20153 | − | 5.34004i | 0.469006 | − | 0.481495i | ||||
\(124\) | 1.27192 | − | 5.42054i | 0.114222 | − | 0.486778i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | −12.2984 | − | 8.45067i | −1.09563 | − | 0.752845i | ||||
\(127\) | 3.60213 | + | 4.95791i | 0.319637 | + | 0.439943i | 0.938356 | − | 0.345669i | \(-0.112348\pi\) |
−0.618719 | + | 0.785612i | \(0.712348\pi\) | |||||||
\(128\) | −0.951057 | + | 0.309017i | −0.0840623 | + | 0.0273135i | ||||
\(129\) | −6.00130 | + | 6.16110i | −0.528385 | + | 0.542455i | ||||
\(130\) | 1.54166i | 0.135213i | ||||||||
\(131\) | 10.1759 | − | 3.30634i | 0.889070 | − | 0.288876i | 0.171351 | − | 0.985210i | \(-0.445187\pi\) |
0.717718 | + | 0.696334i | \(0.245187\pi\) | |||||||
\(132\) | 9.47034 | − | 4.98318i | 0.824287 | − | 0.433730i | ||||
\(133\) | −0.637730 | + | 1.96273i | −0.0552982 | + | 0.170190i | ||||
\(134\) | −6.76860 | + | 9.31618i | −0.584718 | + | 0.804795i | ||||
\(135\) | −2.17473 | + | 4.71917i | −0.187171 | + | 0.406161i | ||||
\(136\) | −2.80472 | + | 3.86037i | −0.240503 | + | 0.331024i | ||||
\(137\) | −0.250780 | + | 0.182202i | −0.0214256 | + | 0.0155666i | −0.598447 | − | 0.801163i | \(-0.704215\pi\) |
0.577021 | + | 0.816729i | \(0.304215\pi\) | |||||||
\(138\) | −6.45767 | − | 12.2726i | −0.549713 | − | 1.04471i | ||||
\(139\) | −3.54416 | − | 4.87812i | −0.300612 | − | 0.413756i | 0.631813 | − | 0.775121i | \(-0.282311\pi\) |
−0.932425 | + | 0.361364i | \(0.882311\pi\) | |||||||
\(140\) | −2.92363 | − | 4.02403i | −0.247092 | − | 0.340092i | ||||
\(141\) | −8.33103 | − | 15.8328i | −0.701599 | − | 1.33336i | ||||
\(142\) | 4.46625 | − | 3.24492i | 0.374799 | − | 0.272308i | ||||
\(143\) | 5.59871 | − | 7.70596i | 0.468187 | − | 0.644404i | ||||
\(144\) | −2.82783 | + | 1.00170i | −0.235652 | + | 0.0834746i | ||||
\(145\) | 1.27598 | − | 1.75623i | 0.105964 | − | 0.145847i | ||||
\(146\) | 1.53606 | − | 4.72751i | 0.127125 | − | 0.391251i | ||||
\(147\) | 27.1925 | − | 14.3084i | 2.24280 | − | 1.18013i | ||||
\(148\) | 2.75657 | − | 0.895663i | 0.226588 | − | 0.0736231i | ||||
\(149\) | − | 11.1030i | − | 0.909589i | −0.890596 | − | 0.454795i | \(-0.849713\pi\) | ||
0.890596 | − | 0.454795i | \(-0.150287\pi\) | |||||||
\(150\) | −1.20855 | + | 1.24073i | −0.0986775 | + | 0.101305i | ||||
\(151\) | 14.5776 | − | 4.73655i | 1.18631 | − | 0.385455i | 0.351601 | − | 0.936150i | \(-0.385637\pi\) |
0.834706 | + | 0.550695i | \(0.185637\pi\) | |||||||
\(152\) | 0.243877 | + | 0.335667i | 0.0197810 | + | 0.0272262i | ||||
\(153\) | −8.10697 | + | 11.7982i | −0.655410 | + | 0.953826i | ||||
\(154\) | 30.7314i | 2.47641i | ||||||||
\(155\) | 2.88471 | − | 4.76219i | 0.231705 | − | 0.382508i | ||||
\(156\) | −1.86318 | + | 1.91279i | −0.149173 | + | 0.153146i | ||||
\(157\) | 17.5339 | + | 12.7391i | 1.39936 | + | 1.01669i | 0.994764 | + | 0.102197i | \(0.0325873\pi\) |
0.404594 | + | 0.914496i | \(0.367413\pi\) | |||||||
\(158\) | −2.01414 | + | 1.46336i | −0.160237 | + | 0.116419i | ||||
\(159\) | 8.35858 | − | 16.9516i | 0.662878 | − | 1.34435i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | 39.8246 | 3.13862 | ||||||||
\(162\) | −8.40160 | + | 3.22695i | −0.660092 | + | 0.253533i | ||||
\(163\) | −1.79214 | + | 5.51565i | −0.140372 | + | 0.432019i | −0.996387 | − | 0.0849313i | \(-0.972933\pi\) |
0.856015 | + | 0.516951i | \(0.172933\pi\) | |||||||
\(164\) | 4.09330 | + | 1.32999i | 0.319633 | + | 0.103855i | ||||
\(165\) | 10.5467 | − | 1.81279i | 0.821061 | − | 0.141125i | ||||
\(166\) | −5.35211 | + | 1.73900i | −0.415404 | + | 0.134973i | ||||
\(167\) | −9.92944 | − | 7.21416i | −0.768363 | − | 0.558248i | 0.133101 | − | 0.991102i | \(-0.457507\pi\) |
−0.901464 | + | 0.432854i | \(0.857507\pi\) | |||||||
\(168\) | 1.23580 | − | 8.52607i | 0.0953439 | − | 0.657801i | ||||
\(169\) | 3.28277 | − | 10.1033i | 0.252521 | − | 0.777179i | ||||
\(170\) | −3.86037 | + | 2.80472i | −0.296077 | + | 0.215112i | ||||
\(171\) | 0.757835 | + | 0.987431i | 0.0579531 | + | 0.0755108i | ||||
\(172\) | −4.72267 | − | 1.53449i | −0.360100 | − | 0.117004i | ||||
\(173\) | −7.88064 | − | 10.8468i | −0.599154 | − | 0.824665i | 0.396476 | − | 0.918045i | \(-0.370233\pi\) |
−0.995631 | + | 0.0933799i | \(0.970233\pi\) | |||||||
\(174\) | 3.70564 | − | 0.636930i | 0.280924 | − | 0.0482856i | ||||
\(175\) | −1.53704 | − | 4.73053i | −0.116189 | − | 0.357594i | ||||
\(176\) | 4.99846 | + | 3.63160i | 0.376773 | + | 0.273742i | ||||
\(177\) | −10.9044 | − | 20.7235i | −0.819628 | − | 1.55767i | ||||
\(178\) | −8.05661 | − | 2.61775i | −0.603868 | − | 0.196209i | ||||
\(179\) | 0.286458 | + | 0.881626i | 0.0214108 | + | 0.0658958i | 0.961191 | − | 0.275884i | \(-0.0889704\pi\) |
−0.939780 | + | 0.341779i | \(0.888970\pi\) | |||||||
\(180\) | −2.99896 | + | 0.0788226i | −0.223530 | + | 0.00587509i | ||||
\(181\) | − | 17.2187i | − | 1.27985i | −0.768436 | − | 0.639926i | \(-0.778965\pi\) | ||
0.768436 | − | 0.639926i | \(-0.221035\pi\) | |||||||
\(182\) | −2.36960 | − | 7.29289i | −0.175647 | − | 0.540585i | ||||
\(183\) | 0.679554 | − | 4.68841i | 0.0502341 | − | 0.346577i | ||||
\(184\) | 4.70617 | − | 6.47748i | 0.346943 | − | 0.477526i | ||||
\(185\) | 2.89843 | 0.213097 | ||||||||
\(186\) | 9.33448 | − | 2.42228i | 0.684437 | − | 0.177610i | ||||
\(187\) | 29.4815 | 2.15590 | ||||||||
\(188\) | 6.07142 | − | 8.35659i | 0.442804 | − | 0.609467i | ||||
\(189\) | 3.03407 | − | 25.6668i | 0.220696 | − | 1.86699i | ||||
\(190\) | 0.128214 | + | 0.394601i | 0.00930159 | + | 0.0286273i | ||||
\(191\) | 10.8765i | 0.786996i | 0.919326 | + | 0.393498i | \(0.128735\pi\) | ||||
−0.919326 | + | 0.393498i | \(0.871265\pi\) | |||||||
\(192\) | −1.24073 | − | 1.20855i | −0.0895420 | − | 0.0872195i | ||||
\(193\) | 6.31102 | + | 19.4233i | 0.454277 | + | 1.39812i | 0.871982 | + | 0.489538i | \(0.162835\pi\) |
−0.417705 | + | 0.908583i | \(0.637165\pi\) | |||||||
\(194\) | 2.54947 | + | 0.828372i | 0.183041 | + | 0.0594736i | ||||
\(195\) | −2.36307 | + | 1.24342i | −0.169223 | + | 0.0890430i | ||||
\(196\) | 14.3523 | + | 10.4275i | 1.02516 | + | 0.744824i | ||||
\(197\) | 2.27012 | + | 6.98672i | 0.161740 | + | 0.497783i | 0.998781 | − | 0.0493559i | \(-0.0157169\pi\) |
−0.837042 | + | 0.547139i | \(0.815717\pi\) | |||||||
\(198\) | 15.2765 | + | 10.4970i | 1.08565 | + | 0.745992i | ||||
\(199\) | −4.77730 | − | 6.57539i | −0.338654 | − | 0.466117i | 0.605394 | − | 0.795926i | \(-0.293016\pi\) |
−0.944048 | + | 0.329809i | \(0.893016\pi\) | |||||||
\(200\) | −0.951057 | − | 0.309017i | −0.0672499 | − | 0.0218508i | ||||
\(201\) | −19.7390 | − | 2.86105i | −1.39229 | − | 0.201803i | ||||
\(202\) | −3.74162 | + | 2.71845i | −0.263260 | + | 0.191269i | ||||
\(203\) | −3.33665 | + | 10.2691i | −0.234187 | + | 0.720752i | ||||
\(204\) | −8.17931 | − | 1.18554i | −0.572666 | − | 0.0830043i | ||||
\(205\) | 3.48197 | + | 2.52980i | 0.243191 | + | 0.176689i | ||||
\(206\) | −11.5000 | + | 3.73657i | −0.801242 | + | 0.260339i | ||||
\(207\) | 13.6031 | − | 19.7967i | 0.945478 | − | 1.37597i | ||||
\(208\) | −1.46621 | − | 0.476401i | −0.101663 | − | 0.0330324i | ||||
\(209\) | 0.792160 | − | 2.43802i | 0.0547948 | − | 0.168641i | ||||
\(210\) | 3.81002 | − | 7.72690i | 0.262916 | − | 0.533206i | ||||
\(211\) | −19.2768 | −1.32707 | −0.663536 | − | 0.748145i | \(-0.730945\pi\) | ||||
−0.663536 | + | 0.748145i | \(0.730945\pi\) | |||||||
\(212\) | 10.9121 | 0.749447 | ||||||||
\(213\) | 8.57605 | + | 4.22872i | 0.587621 | + | 0.289747i | ||||
\(214\) | 11.1223 | − | 8.08082i | 0.760305 | − | 0.552394i | ||||
\(215\) | −4.01734 | − | 2.91877i | −0.273981 | − | 0.199058i | ||||
\(216\) | −3.81617 | − | 3.52660i | −0.259657 | − | 0.239954i | ||||
\(217\) | −6.32651 | + | 26.9616i | −0.429472 | + | 1.83027i | ||||
\(218\) | 3.70781i | 0.251124i | ||||||||
\(219\) | 8.48524 | − | 1.45846i | 0.573380 | − | 0.0985533i | ||||
\(220\) | 3.63160 | + | 4.99846i | 0.244842 | + | 0.336996i | ||||
\(221\) | −6.99628 | + | 2.27323i | −0.470621 | + | 0.152914i | ||||
\(222\) | 3.59617 | + | 3.50289i | 0.241359 | + | 0.235098i | ||||
\(223\) | − | 15.1815i | − | 1.01663i | −0.861172 | − | 0.508314i | \(-0.830269\pi\) | ||
0.861172 | − | 0.508314i | \(-0.169731\pi\) | |||||||
\(224\) | 4.73053 | − | 1.53704i | 0.316072 | − | 0.102698i | ||||
\(225\) | −2.87654 | − | 0.851766i | −0.191769 | − | 0.0567844i | ||||
\(226\) | 3.48250 | − | 10.7180i | 0.231653 | − | 0.712954i | ||||
\(227\) | −6.92359 | + | 9.52950i | −0.459535 | + | 0.632495i | −0.974412 | − | 0.224769i | \(-0.927837\pi\) |
0.514878 | + | 0.857264i | \(0.327837\pi\) | |||||||
\(228\) | −0.317815 | + | 0.644545i | −0.0210478 | + | 0.0426860i | ||||
\(229\) | 4.68042 | − | 6.44204i | 0.309291 | − | 0.425702i | −0.625869 | − | 0.779928i | \(-0.715256\pi\) |
0.935160 | + | 0.354226i | \(0.115256\pi\) | |||||||
\(230\) | 6.47748 | − | 4.70617i | 0.427113 | − | 0.310315i | ||||
\(231\) | −47.1052 | + | 24.7862i | −3.09929 | + | 1.63081i | ||||
\(232\) | 1.27598 | + | 1.75623i | 0.0837721 | + | 0.115302i | ||||
\(233\) | 7.25371 | + | 9.98387i | 0.475206 | + | 0.654065i | 0.977575 | − | 0.210588i | \(-0.0675379\pi\) |
−0.502369 | + | 0.864654i | \(0.667538\pi\) | |||||||
\(234\) | −4.43466 | − | 1.31314i | −0.289903 | − | 0.0858425i | ||||
\(235\) | 8.35659 | − | 6.07142i | 0.545124 | − | 0.396056i | ||||
\(236\) | 7.94684 | − | 10.9379i | 0.517295 | − | 0.711996i | ||||
\(237\) | −3.86753 | − | 1.90702i | −0.251223 | − | 0.123874i | ||||
\(238\) | 13.9506 | − | 19.2014i | 0.904283 | − | 1.24464i | ||||
\(239\) | 1.25885 | − | 3.87436i | 0.0814285 | − | 0.250611i | −0.902051 | − | 0.431629i | \(-0.857939\pi\) |
0.983480 | + | 0.181017i | \(0.0579391\pi\) | |||||||
\(240\) | −0.806543 | − | 1.53280i | −0.0520621 | − | 0.0989421i | ||||
\(241\) | 9.61347 | − | 3.12360i | 0.619258 | − | 0.201209i | 0.0174470 | − | 0.999848i | \(-0.494446\pi\) |
0.601811 | + | 0.798639i | \(0.294446\pi\) | |||||||
\(242\) | − | 27.1731i | − | 1.74676i | ||||||
\(243\) | −11.7225 | − | 10.2753i | −0.752000 | − | 0.659163i | ||||
\(244\) | 2.60127 | − | 0.845205i | 0.166529 | − | 0.0541087i | ||||
\(245\) | 10.4275 | + | 14.3523i | 0.666191 | + | 0.916933i | ||||
\(246\) | 1.26280 | + | 7.34692i | 0.0805132 | + | 0.468423i | ||||
\(247\) | 0.639649i | 0.0406999i | ||||||||
\(248\) | 3.63769 | + | 4.21512i | 0.230993 | + | 0.267660i | ||||
\(249\) | −6.98225 | − | 6.80115i | −0.442482 | − | 0.431005i | ||||
\(250\) | −0.809017 | − | 0.587785i | −0.0511667 | − | 0.0371748i | ||||
\(251\) | −7.91101 | + | 5.74769i | −0.499339 | + | 0.362791i | −0.808764 | − | 0.588133i | \(-0.799863\pi\) |
0.309426 | + | 0.950924i | \(0.399863\pi\) | |||||||
\(252\) | 14.0655 | − | 4.98240i | 0.886045 | − | 0.313862i | ||||
\(253\) | −49.4684 | −3.11005 | ||||||||
\(254\) | −6.12831 | −0.384524 | ||||||||
\(255\) | −7.41264 | − | 3.65506i | −0.464197 | − | 0.228889i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 10.3089 | + | 3.34957i | 0.643053 | + | 0.208940i | 0.612348 | − | 0.790588i | \(-0.290225\pi\) |
0.0307043 | + | 0.999529i | \(0.490225\pi\) | |||||||
\(258\) | −1.45696 | − | 8.47656i | −0.0907066 | − | 0.527727i | ||||
\(259\) | −13.7111 | + | 4.45500i | −0.851966 | + | 0.276820i | ||||
\(260\) | −1.24723 | − | 0.906168i | −0.0773501 | − | 0.0561981i | ||||
\(261\) | 3.96504 | + | 5.16631i | 0.245430 | + | 0.319786i | ||||
\(262\) | −3.30634 | + | 10.1759i | −0.204266 | + | 0.628667i | ||||
\(263\) | 9.65517 | − | 7.01489i | 0.595363 | − | 0.432557i | −0.248867 | − | 0.968538i | \(-0.580058\pi\) |
0.844230 | + | 0.535981i | \(0.180058\pi\) | |||||||
\(264\) | −1.53505 | + | 10.5907i | −0.0944760 | + | 0.651813i | ||||
\(265\) | 10.3780 | + | 3.37203i | 0.637518 | + | 0.207142i | ||||
\(266\) | −1.21303 | − | 1.66960i | −0.0743759 | − | 0.102370i | ||||
\(267\) | −2.48550 | − | 14.4605i | −0.152110 | − | 0.884970i | ||||
\(268\) | −3.55846 | − | 10.9518i | −0.217368 | − | 0.668989i | ||||
\(269\) | 11.1253 | + | 8.08301i | 0.678322 | + | 0.492830i | 0.872801 | − | 0.488077i | \(-0.162301\pi\) |
−0.194479 | + | 0.980907i | \(0.562301\pi\) | |||||||
\(270\) | −2.53961 | − | 4.53325i | −0.154556 | − | 0.275885i | ||||
\(271\) | −28.0531 | − | 9.11499i | −1.70410 | − | 0.553696i | −0.714768 | − | 0.699361i | \(-0.753468\pi\) |
−0.989334 | + | 0.145665i | \(0.953468\pi\) | |||||||
\(272\) | −1.47453 | − | 4.53813i | −0.0894064 | − | 0.275165i | ||||
\(273\) | 9.26738 | − | 9.51416i | 0.560888 | − | 0.575823i | ||||
\(274\) | − | 0.309981i | − | 0.0187266i | ||||||
\(275\) | 1.90924 | + | 5.87605i | 0.115132 | + | 0.354339i | ||||
\(276\) | 13.7244 | + | 1.98927i | 0.826114 | + | 0.119740i | ||||
\(277\) | −4.76140 | + | 6.55350i | −0.286085 | + | 0.393762i | −0.927737 | − | 0.373234i | \(-0.878249\pi\) |
0.641653 | + | 0.766995i | \(0.278249\pi\) | |||||||
\(278\) | 6.02968 | 0.361636 | ||||||||
\(279\) | 11.2415 | + | 12.3543i | 0.673013 | + | 0.739630i | ||||
\(280\) | 4.97397 | 0.297252 | ||||||||
\(281\) | 4.36193 | − | 6.00369i | 0.260211 | − | 0.358150i | −0.658843 | − | 0.752280i | \(-0.728954\pi\) |
0.919055 | + | 0.394130i | \(0.128954\pi\) | |||||||
\(282\) | 17.7059 | + | 2.56635i | 1.05437 | + | 0.152824i | ||||
\(283\) | −5.43167 | − | 16.7170i | −0.322879 | − | 0.993720i | −0.972389 | − | 0.233367i | \(-0.925026\pi\) |
0.649509 | − | 0.760354i | \(-0.274974\pi\) | |||||||
\(284\) | 5.52059i | 0.327587i | ||||||||
\(285\) | −0.501436 | + | 0.514788i | −0.0297025 | + | 0.0304934i | ||||
\(286\) | 2.94341 | + | 9.05890i | 0.174048 | + | 0.535664i | ||||
\(287\) | −20.3599 | − | 6.61535i | −1.20181 | − | 0.390492i | ||||
\(288\) | 0.851766 | − | 2.87654i | 0.0501908 | − | 0.169502i | ||||
\(289\) | −4.66713 | − | 3.39087i | −0.274537 | − | 0.199463i | ||||
\(290\) | 0.670821 | + | 2.06458i | 0.0393920 | + | 0.121236i | ||||
\(291\) | 0.786521 | + | 4.57595i | 0.0461067 | + | 0.268247i | ||||
\(292\) | 2.92176 | + | 4.02146i | 0.170983 | + | 0.235338i | ||||
\(293\) | −20.3437 | − | 6.61007i | −1.18849 | − | 0.386164i | −0.352976 | − | 0.935632i | \(-0.614830\pi\) |
−0.835515 | + | 0.549468i | \(0.814830\pi\) | |||||||
\(294\) | −4.40765 | + | 30.4095i | −0.257060 | + | 1.77352i | ||||
\(295\) | 10.9379 | − | 7.94684i | 0.636829 | − | 0.462683i | ||||
\(296\) | −0.895663 | + | 2.75657i | −0.0520594 | + | 0.160222i | ||||
\(297\) | −3.76878 | + | 31.8821i | −0.218687 | + | 1.84999i | ||||
\(298\) | 8.98248 | + | 6.52615i | 0.520341 | + | 0.378050i | ||||
\(299\) | 11.7394 | − | 3.81435i | 0.678906 | − | 0.220590i | ||||
\(300\) | −0.293405 | − | 1.70702i | −0.0169397 | − | 0.0985548i | ||||
\(301\) | 23.4904 | + | 7.63250i | 1.35397 | + | 0.439930i | ||||
\(302\) | −4.73655 | + | 14.5776i | −0.272558 | + | 0.838846i | ||||
\(303\) | −7.18463 | − | 3.54263i | −0.412746 | − | 0.203519i | ||||
\(304\) | −0.414908 | −0.0237966 | ||||||||
\(305\) | 2.73514 | 0.156614 | ||||||||
\(306\) | −4.77977 | − | 13.4935i | −0.273241 | − | 0.771371i | ||||
\(307\) | −7.47487 | + | 5.43081i | −0.426613 | + | 0.309953i | −0.780293 | − | 0.625414i | \(-0.784930\pi\) |
0.353680 | + | 0.935366i | \(0.384930\pi\) | |||||||
\(308\) | −24.8622 | − | 18.0635i | −1.41666 | − | 1.02926i | ||||
\(309\) | −15.0027 | − | 14.6135i | −0.853472 | − | 0.831335i | ||||
\(310\) | 2.15710 | + | 5.13292i | 0.122515 | + | 0.291530i | ||||
\(311\) | − | 10.4798i | − | 0.594255i | −0.954838 | − | 0.297127i | \(-0.903971\pi\) | ||
0.954838 | − | 0.297127i | \(-0.0960286\pi\) | |||||||
\(312\) | −0.452332 | − | 2.63165i | −0.0256083 | − | 0.148988i | ||||
\(313\) | 9.99563 | + | 13.7578i | 0.564986 | + | 0.777637i | 0.991950 | − | 0.126632i | \(-0.0404167\pi\) |
−0.426963 | + | 0.904269i | \(0.640417\pi\) | |||||||
\(314\) | −20.6124 | + | 6.69736i | −1.16322 | + | 0.377954i | ||||
\(315\) | 14.9168 | − | 0.392061i | 0.840464 | − | 0.0220901i | ||||
\(316\) | − | 2.48962i | − | 0.140052i | ||||||
\(317\) | 4.02776 | − | 1.30870i | 0.226221 | − | 0.0735038i | −0.193713 | − | 0.981058i | \(-0.562053\pi\) |
0.419934 | + | 0.907554i | \(0.362053\pi\) | |||||||
\(318\) | 8.80108 | + | 16.7261i | 0.493540 | + | 0.937955i | ||||
\(319\) | 4.14463 | − | 12.7559i | 0.232055 | − | 0.714191i | ||||
\(320\) | 0.587785 | − | 0.809017i | 0.0328582 | − | 0.0452254i | ||||
\(321\) | 21.3569 | + | 10.5308i | 1.19203 | + | 0.587771i | ||||
\(322\) | −23.4083 | + | 32.2188i | −1.30450 | + | 1.79548i | ||||
\(323\) | −1.60170 | + | 1.16370i | −0.0891207 | + | 0.0647500i | ||||
\(324\) | 2.32768 | − | 8.69379i | 0.129316 | − | 0.482988i | ||||
\(325\) | −0.906168 | − | 1.24723i | −0.0502652 | − | 0.0691840i | ||||
\(326\) | −3.40886 | − | 4.69189i | −0.188799 | − | 0.259860i | ||||
\(327\) | −5.68334 | + | 2.99050i | −0.314289 | + | 0.165375i | ||||
\(328\) | −3.48197 | + | 2.52980i | −0.192260 | + | 0.139685i | ||||
\(329\) | −30.1991 | + | 41.5654i | −1.66493 | + | 2.29158i | ||||
\(330\) | −4.73263 | + | 9.59800i | −0.260523 | + | 0.528353i | ||||
\(331\) | −4.60862 | + | 6.34322i | −0.253312 | + | 0.348655i | −0.916668 | − | 0.399650i | \(-0.869132\pi\) |
0.663355 | + | 0.748304i | \(0.269132\pi\) | |||||||
\(332\) | 1.73900 | − | 5.35211i | 0.0954403 | − | 0.293735i | ||||
\(333\) | −2.46878 | + | 8.33745i | −0.135288 | + | 0.456889i | ||||
\(334\) | 11.6728 | − | 3.79271i | 0.638705 | − | 0.207528i | ||||
\(335\) | − | 11.5154i | − | 0.629155i | ||||||
\(336\) | 6.17136 | + | 6.01128i | 0.336675 | + | 0.327942i | ||||
\(337\) | −16.4253 | + | 5.33692i | −0.894745 | + | 0.290720i | −0.720066 | − | 0.693905i | \(-0.755889\pi\) |
−0.174679 | + | 0.984625i | \(0.555889\pi\) | |||||||
\(338\) | 6.24420 | + | 8.59441i | 0.339640 | + | 0.467474i | ||||
\(339\) | 19.2375 | − | 3.30656i | 1.04484 | − | 0.179588i | ||||
\(340\) | − | 4.77168i | − | 0.258780i | ||||||
\(341\) | 7.85851 | − | 33.4905i | 0.425562 | − | 1.81361i | ||||
\(342\) | −1.24429 | + | 0.0327041i | −0.0672837 | + | 0.00176843i | ||||
\(343\) | −43.2196 | − | 31.4009i | −2.33364 | − | 1.69549i | ||||
\(344\) | 4.01734 | − | 2.91877i | 0.216601 | − | 0.157370i | ||||
\(345\) | 12.4380 | + | 6.13299i | 0.669639 | + | 0.330189i | ||||
\(346\) | 13.4074 | 0.720784 | ||||||||
\(347\) | −13.0825 | −0.702307 | −0.351154 | − | 0.936318i | \(-0.614210\pi\) | ||||
−0.351154 | + | 0.936318i | \(0.614210\pi\) | |||||||
\(348\) | −1.66283 | + | 3.37230i | −0.0891371 | + | 0.180774i | ||||
\(349\) | 2.68402 | − | 8.26056i | 0.143672 | − | 0.442178i | −0.853166 | − | 0.521640i | \(-0.825320\pi\) |
0.996838 | + | 0.0794623i | \(0.0253203\pi\) | |||||||
\(350\) | 4.73053 | + | 1.53704i | 0.252857 | + | 0.0821583i | ||||
\(351\) | −1.56396 | − | 7.85657i | −0.0834781 | − | 0.419353i | ||||
\(352\) | −5.87605 | + | 1.90924i | −0.313194 | + | 0.101763i | ||||
\(353\) | 11.3776 | + | 8.26633i | 0.605570 | + | 0.439972i | 0.847852 | − | 0.530234i | \(-0.177896\pi\) |
−0.242282 | + | 0.970206i | \(0.577896\pi\) | |||||||
\(354\) | 23.1751 | + | 3.35908i | 1.23174 | + | 0.178533i | ||||
\(355\) | −1.70596 | + | 5.25039i | −0.0905427 | + | 0.278662i | ||||
\(356\) | 6.85336 | − | 4.97926i | 0.363227 | − | 0.263900i | ||||
\(357\) | 40.6837 | + | 5.89683i | 2.15321 | + | 0.312093i | ||||
\(358\) | −0.881626 | − | 0.286458i | −0.0465954 | − | 0.0151398i | ||||
\(359\) | −2.21446 | − | 3.04794i | −0.116875 | − | 0.160864i | 0.746571 | − | 0.665305i | \(-0.231699\pi\) |
−0.863446 | + | 0.504441i | \(0.831699\pi\) | |||||||
\(360\) | 1.69898 | − | 2.47254i | 0.0895440 | − | 0.130315i | ||||
\(361\) | −5.81813 | − | 17.9064i | −0.306217 | − | 0.942440i | ||||
\(362\) | 13.9302 | + | 10.1209i | 0.732154 | + | 0.531941i | ||||
\(363\) | 41.6511 | − | 21.9163i | 2.18612 | − | 1.15031i | ||||
\(364\) | 7.29289 | + | 2.36960i | 0.382251 | + | 0.124201i | ||||
\(365\) | 1.53606 | + | 4.72751i | 0.0804011 | + | 0.247449i | ||||
\(366\) | 3.39357 | + | 3.30555i | 0.177385 | + | 0.172784i | ||||
\(367\) | − | 15.7839i | − | 0.823910i | −0.911204 | − | 0.411955i | \(-0.864846\pi\) | ||
0.911204 | − | 0.411955i | \(-0.135154\pi\) | |||||||
\(368\) | 2.47418 | + | 7.61474i | 0.128975 | + | 0.396946i | ||||
\(369\) | −10.2429 | + | 7.86123i | −0.533224 | + | 0.409239i | ||||
\(370\) | −1.70365 | + | 2.34488i | −0.0885687 | + | 0.121904i | ||||
\(371\) | −54.2765 | −2.81790 | ||||||||
\(372\) | −3.52700 | + | 8.97554i | −0.182867 | + | 0.465360i | ||||
\(373\) | 10.4998 | 0.543657 | 0.271828 | − | 0.962346i | \(-0.412372\pi\) | ||||
0.271828 | + | 0.962346i | \(0.412372\pi\) | |||||||
\(374\) | −17.3288 | + | 23.8510i | −0.896051 | + | 1.23331i | ||||
\(375\) | 0.248453 | − | 1.71414i | 0.0128301 | − | 0.0885177i | ||||
\(376\) | 3.19193 | + | 9.82376i | 0.164611 | + | 0.506622i | ||||
\(377\) | 3.34668i | 0.172363i | ||||||||
\(378\) | 18.9815 | + | 17.5412i | 0.976303 | + | 0.902221i | ||||
\(379\) | 2.38916 | + | 7.35309i | 0.122723 | + | 0.377703i | 0.993479 | − | 0.114012i | \(-0.0363703\pi\) |
−0.870756 | + | 0.491715i | \(0.836370\pi\) | |||||||
\(380\) | −0.394601 | − | 0.128214i | −0.0202426 | − | 0.00657721i | ||||
\(381\) | −4.94274 | − | 9.39350i | −0.253224 | − | 0.481244i | ||||
\(382\) | −8.79927 | − | 6.39304i | −0.450210 | − | 0.327097i | ||||
\(383\) | 6.38754 | + | 19.6588i | 0.326388 | + | 1.00452i | 0.970810 | + | 0.239849i | \(0.0770979\pi\) |
−0.644422 | + | 0.764670i | \(0.722902\pi\) | |||||||
\(384\) | 1.70702 | − | 0.293405i | 0.0871109 | − | 0.0149728i | ||||
\(385\) | −18.0635 | − | 24.8622i | −0.920599 | − | 1.26710i | ||||
\(386\) | −19.4233 | − | 6.31102i | −0.988621 | − | 0.321222i | ||||
\(387\) | 11.8178 | − | 9.06995i | 0.600733 | − | 0.461051i | ||||
\(388\) | −2.16871 | + | 1.57566i | −0.110099 | + | 0.0799919i | ||||
\(389\) | 7.30062 | − | 22.4690i | 0.370156 | − | 1.13922i | −0.576533 | − | 0.817074i | \(-0.695595\pi\) |
0.946689 | − | 0.322149i | \(-0.104405\pi\) | |||||||
\(390\) | 0.383032 | − | 2.64263i | 0.0193956 | − | 0.133815i | ||||
\(391\) | 30.9085 | + | 22.4563i | 1.56311 | + | 1.13566i | ||||
\(392\) | −16.8721 | + | 5.48208i | −0.852170 | + | 0.276887i | ||||
\(393\) | −18.2643 | + | 3.13930i | −0.921313 | + | 0.158357i | ||||
\(394\) | −6.98672 | − | 2.27012i | −0.351986 | − | 0.114367i | ||||
\(395\) | 0.769334 | − | 2.36777i | 0.0387094 | − | 0.119135i | ||||
\(396\) | −17.4716 | + | 6.18892i | −0.877979 | + | 0.311005i | ||||
\(397\) | 26.9416 | 1.35216 | 0.676081 | − | 0.736827i | \(-0.263677\pi\) | ||||
0.676081 | + | 0.736827i | \(0.263677\pi\) | |||||||
\(398\) | 8.12762 | 0.407401 | ||||||||
\(399\) | 1.58080 | − | 3.20595i | 0.0791392 | − | 0.160498i | ||||
\(400\) | 0.809017 | − | 0.587785i | 0.0404508 | − | 0.0293893i | ||||
\(401\) | 30.8503 | + | 22.4140i | 1.54059 | + | 1.11930i | 0.949964 | + | 0.312358i | \(0.101119\pi\) |
0.590625 | + | 0.806946i | \(0.298881\pi\) | |||||||
\(402\) | 13.9170 | − | 14.2875i | 0.694115 | − | 0.712598i | ||||
\(403\) | 0.717438 | + | 8.55359i | 0.0357381 | + | 0.426085i | ||||
\(404\) | − | 4.62490i | − | 0.230097i | ||||||
\(405\) | 4.90028 | − | 7.54899i | 0.243497 | − | 0.375112i | ||||
\(406\) | −6.34668 | − | 8.73545i | −0.314980 | − | 0.433533i | ||||
\(407\) | 17.0313 | − | 5.53380i | 0.844210 | − | 0.274300i | ||||
\(408\) | 5.76680 | − | 5.92036i | 0.285499 | − | 0.293102i | ||||
\(409\) | − | 23.8854i | − | 1.18106i | −0.807017 | − | 0.590529i | \(-0.798919\pi\) | ||
0.807017 | − | 0.590529i | \(-0.201081\pi\) | |||||||
\(410\) | −4.09330 | + | 1.32999i | −0.202154 | + | 0.0656837i | ||||
\(411\) | 0.475140 | − | 0.250013i | 0.0234370 | − | 0.0123322i | ||||
\(412\) | 3.73657 | − | 11.5000i | 0.184088 | − | 0.566564i | ||||
\(413\) | −39.5274 | + | 54.4048i | −1.94501 | + | 2.67708i | ||||
\(414\) | 8.02019 | + | 22.6413i | 0.394171 | + | 1.11276i | ||||
\(415\) | 3.30778 | − | 4.55277i | 0.162373 | − | 0.223487i | ||||
\(416\) | 1.24723 | − | 0.906168i | 0.0611506 | − | 0.0444285i | ||||
\(417\) | 4.86320 | + | 9.24232i | 0.238152 | + | 0.452599i | ||||
\(418\) | 1.50678 | + | 2.07390i | 0.0736989 | + | 0.101438i | ||||
\(419\) | −20.8835 | − | 28.7436i | −1.02022 | − | 1.40422i | −0.912047 | − | 0.410086i | \(-0.865499\pi\) |
−0.108177 | − | 0.994132i | \(-0.534501\pi\) | |||||||
\(420\) | 4.01172 | + | 7.62412i | 0.195752 | + | 0.372019i | ||||
\(421\) | 10.3621 | − | 7.52850i | 0.505017 | − | 0.366917i | −0.305913 | − | 0.952060i | \(-0.598962\pi\) |
0.810930 | + | 0.585143i | \(0.198962\pi\) | |||||||
\(422\) | 11.3306 | − | 15.5953i | 0.551566 | − | 0.759166i | ||||
\(423\) | 10.3468 | + | 29.2095i | 0.503080 | + | 1.42022i | ||||
\(424\) | −6.41398 | + | 8.82808i | −0.311490 | + | 0.428730i | ||||
\(425\) | 1.47453 | − | 4.53813i | 0.0715252 | − | 0.220132i | ||||
\(426\) | −8.46198 | + | 4.45259i | −0.409984 | + | 0.215729i | ||||
\(427\) | −12.9387 | + | 4.20403i | −0.626146 | + | 0.203447i | ||||
\(428\) | 13.7479i | 0.664531i | ||||||||
\(429\) | −11.5115 | + | 11.8181i | −0.555782 | + | 0.570581i | ||||
\(430\) | 4.72267 | − | 1.53449i | 0.227747 | − | 0.0739996i | ||||
\(431\) | 24.0560 | + | 33.1102i | 1.15874 | + | 1.59486i | 0.715790 | + | 0.698316i | \(0.246067\pi\) |
0.442947 | + | 0.896548i | \(0.353933\pi\) | |||||||
\(432\) | 5.09616 | − | 1.01446i | 0.245189 | − | 0.0488084i | ||||
\(433\) | − | 15.4169i | − | 0.740889i | −0.928855 | − | 0.370445i | \(-0.879205\pi\) | ||
0.928855 | − | 0.370445i | \(-0.120795\pi\) | |||||||
\(434\) | −18.0937 | − | 20.9659i | −0.868528 | − | 1.00639i | ||||
\(435\) | −2.62355 | + | 2.69341i | −0.125789 | + | 0.129139i | ||||
\(436\) | −2.99968 | − | 2.17939i | −0.143658 | − | 0.104374i | ||||
\(437\) | 2.68756 | − | 1.95262i | 0.128563 | − | 0.0934067i | ||||
\(438\) | −3.80758 | + | 7.72196i | −0.181933 | + | 0.368970i | ||||
\(439\) | −32.0714 | −1.53069 | −0.765343 | − | 0.643622i | \(-0.777431\pi\) | ||||
−0.765343 | + | 0.643622i | \(0.777431\pi\) | |||||||
\(440\) | −6.17844 | −0.294546 | ||||||||
\(441\) | −50.1667 | + | 17.7705i | −2.38889 | + | 0.846213i | ||||
\(442\) | 2.27323 | − | 6.99628i | 0.108127 | − | 0.332779i | ||||
\(443\) | −17.9621 | − | 5.83624i | −0.853405 | − | 0.277288i | −0.150534 | − | 0.988605i | \(-0.548099\pi\) |
−0.702872 | + | 0.711317i | \(0.748099\pi\) | |||||||
\(444\) | −4.94767 | + | 0.850413i | −0.234806 | + | 0.0403588i | ||||
\(445\) | 8.05661 | − | 2.61775i | 0.381920 | − | 0.124093i | ||||
\(446\) | 12.2821 | + | 8.92346i | 0.581574 | + | 0.422538i | ||||
\(447\) | −2.75856 | + | 19.0320i | −0.130476 | + | 0.900183i | ||||
\(448\) | −1.53704 | + | 4.73053i | −0.0726184 | + | 0.223496i | ||||
\(449\) | 0.284048 | − | 0.206373i | 0.0134050 | − | 0.00973933i | −0.581063 | − | 0.813859i | \(-0.697363\pi\) |
0.594468 | + | 0.804120i | \(0.297363\pi\) | |||||||
\(450\) | 2.37988 | − | 1.82652i | 0.112189 | − | 0.0861028i | ||||
\(451\) | 25.2902 | + | 8.21729i | 1.19087 | + | 0.386937i | ||||
\(452\) | 6.62412 | + | 9.11731i | 0.311572 | + | 0.428842i | ||||
\(453\) | −26.1648 | + | 4.49725i | −1.22933 | + | 0.211299i | ||||
\(454\) | −3.63994 | − | 11.2026i | −0.170831 | − | 0.525764i | ||||
\(455\) | 6.20370 | + | 4.50725i | 0.290834 | + | 0.211303i | ||||
\(456\) | −0.334641 | − | 0.635972i | −0.0156710 | − | 0.0297821i | ||||
\(457\) | −25.1067 | − | 8.15765i | −1.17444 | − | 0.381599i | −0.344142 | − | 0.938918i | \(-0.611830\pi\) |
−0.830299 | + | 0.557319i | \(0.811830\pi\) | |||||||
\(458\) | 2.46064 | + | 7.57308i | 0.114978 | + | 0.353867i | ||||
\(459\) | 16.8278 | − | 18.2095i | 0.785453 | − | 0.849947i | ||||
\(460\) | 8.00661i | 0.373310i | ||||||||
\(461\) | 0.639110 | + | 1.96698i | 0.0297663 | + | 0.0916114i | 0.964836 | − | 0.262853i | \(-0.0846633\pi\) |
−0.935070 | + | 0.354464i | \(0.884663\pi\) | |||||||
\(462\) | 7.63531 | − | 52.6779i | 0.355227 | − | 2.45080i | ||||
\(463\) | −2.37049 | + | 3.26270i | −0.110166 | + | 0.151631i | −0.860540 | − | 0.509383i | \(-0.829874\pi\) |
0.750374 | + | 0.661014i | \(0.229874\pi\) | |||||||
\(464\) | −2.17082 | −0.100778 | ||||||||
\(465\) | −6.12797 | + | 7.44634i | −0.284178 | + | 0.345316i | ||||
\(466\) | −12.3407 | −0.571674 | ||||||||
\(467\) | 5.69016 | − | 7.83183i | 0.263309 | − | 0.362414i | −0.656808 | − | 0.754058i | \(-0.728094\pi\) |
0.920117 | + | 0.391644i | \(0.128094\pi\) | |||||||
\(468\) | 3.66898 | − | 2.81588i | 0.169599 | − | 0.130164i | ||||
\(469\) | 17.6997 | + | 54.4741i | 0.817296 | + | 2.51538i | ||||
\(470\) | 10.3293i | 0.476456i | ||||||||
\(471\) | −26.8905 | − | 26.1930i | −1.23905 | − | 1.20691i | ||||
\(472\) | 4.17790 | + | 12.8583i | 0.192304 | + | 0.591850i | ||||
\(473\) | −29.1787 | − | 9.48075i | −1.34164 | − | 0.435925i | ||||
\(474\) | 3.81609 | − | 2.00798i | 0.175279 | − | 0.0922296i | ||||
\(475\) | −0.335667 | − | 0.243877i | −0.0154015 | − | 0.0111898i | ||||
\(476\) | 7.33426 | + | 22.5725i | 0.336165 | + | 1.03461i | ||||
\(477\) | −18.5394 | + | 26.9807i | −0.848863 | + | 1.23536i | ||||
\(478\) | 2.39448 | + | 3.29572i | 0.109521 | + | 0.150743i | ||||
\(479\) | −14.0772 | − | 4.57395i | −0.643203 | − | 0.208989i | −0.0307880 | − | 0.999526i | \(-0.509802\pi\) |
−0.612415 | + | 0.790537i | \(0.709802\pi\) | |||||||
\(480\) | 1.71414 | + | 0.248453i | 0.0782394 | + | 0.0113403i | ||||
\(481\) | −3.61501 | + | 2.62646i | −0.164830 | + | 0.119756i | ||||
\(482\) | −3.12360 | + | 9.61347i | −0.142276 | + | 0.437881i | ||||
\(483\) | −68.2650 | − | 9.89456i | −3.10616 | − | 0.450218i | ||||
\(484\) | 21.9835 | + | 15.9720i | 0.999251 | + | 0.725999i | ||||
\(485\) | −2.54947 | + | 0.828372i | −0.115765 | + | 0.0376144i | ||||
\(486\) | 15.2032 | − | 3.44403i | 0.689633 | − | 0.156224i | ||||
\(487\) | 7.09578 | + | 2.30556i | 0.321541 | + | 0.104475i | 0.465340 | − | 0.885132i | \(-0.345932\pi\) |
−0.143799 | + | 0.989607i | \(0.545932\pi\) | |||||||
\(488\) | −0.845205 | + | 2.60127i | −0.0382606 | + | 0.117754i | ||||
\(489\) | 4.44236 | − | 9.00933i | 0.200891 | − | 0.407416i | ||||
\(490\) | −17.7404 | −0.801429 | ||||||||
\(491\) | 27.7032 | 1.25023 | 0.625115 | − | 0.780533i | \(-0.285052\pi\) | ||||
0.625115 | + | 0.780533i | \(0.285052\pi\) | |||||||
\(492\) | −6.68604 | − | 3.29679i | −0.301430 | − | 0.148631i | ||||
\(493\) | −8.38018 | + | 6.08855i | −0.377424 | + | 0.274215i | ||||
\(494\) | −0.517487 | − | 0.375976i | −0.0232828 | − | 0.0169160i | ||||
\(495\) | −18.5289 | + | 0.487001i | −0.832813 | + | 0.0218890i | ||||
\(496\) | −5.54828 | + | 0.465366i | −0.249125 | + | 0.0208955i | ||||
\(497\) | − | 27.4592i | − | 1.23172i | ||||||
\(498\) | 9.60631 | − | 1.65115i | 0.430469 | − | 0.0739897i | ||||
\(499\) | 7.13113 | + | 9.81516i | 0.319233 | + | 0.439387i | 0.938233 | − | 0.346004i | \(-0.112462\pi\) |
−0.619000 | + | 0.785391i | \(0.712462\pi\) | |||||||
\(500\) | 0.951057 | − | 0.309017i | 0.0425325 | − | 0.0138197i | ||||
\(501\) | 15.2281 | + | 14.8331i | 0.680339 | + | 0.662693i | ||||
\(502\) | − | 9.77855i | − | 0.436438i | ||||||
\(503\) | −0.819893 | + | 0.266399i | −0.0365572 | + | 0.0118782i | −0.327239 | − | 0.944942i | \(-0.606118\pi\) |
0.290681 | + | 0.956820i | \(0.406118\pi\) | |||||||
\(504\) | −4.23666 | + | 14.3078i | −0.188716 | + | 0.637322i | ||||
\(505\) | 1.42917 | − | 4.39854i | 0.0635973 | − | 0.195732i | ||||
\(506\) | 29.0768 | − | 40.0207i | 1.29262 | − | 1.77914i | ||||
\(507\) | −8.13733 | + | 16.5029i | −0.361391 | + | 0.732919i | ||||
\(508\) | 3.60213 | − | 4.95791i | 0.159819 | − | 0.219972i | ||||
\(509\) | 8.99676 | − | 6.53653i | 0.398775 | − | 0.289727i | −0.370267 | − | 0.928925i | \(-0.620734\pi\) |
0.769042 | + | 0.639199i | \(0.220734\pi\) | |||||||
\(510\) | 7.31405 | − | 3.84856i | 0.323871 | − | 0.170417i | ||||
\(511\) | −14.5328 | − | 20.0026i | −0.642891 | − | 0.884864i | ||||
\(512\) | 0.587785 | + | 0.809017i | 0.0259767 | + | 0.0357538i | ||||
\(513\) | −1.05370 | − | 1.88088i | −0.0465222 | − | 0.0830429i | ||||
\(514\) | −8.76929 | + | 6.37126i | −0.386797 | + | 0.281024i | ||||
\(515\) | 7.10738 | − | 9.78248i | 0.313189 | − | 0.431067i | ||||
\(516\) | 7.71406 | + | 3.80369i | 0.339593 | + | 0.167448i | ||||
\(517\) | 37.5119 | − | 51.6307i | 1.64977 | − | 2.27072i | ||||
\(518\) | 4.45500 | − | 13.7111i | 0.195742 | − | 0.602431i | ||||
\(519\) | 10.8136 | + | 20.5508i | 0.474664 | + | 0.902082i | ||||
\(520\) | 1.46621 | − | 0.476401i | 0.0642976 | − | 0.0208916i | ||||
\(521\) | − | 6.42111i | − | 0.281314i | −0.990058 | − | 0.140657i | \(-0.955079\pi\) | ||
0.990058 | − | 0.140657i | \(-0.0449215\pi\) | |||||||
\(522\) | −6.51022 | + | 0.171110i | −0.284945 | + | 0.00748928i | ||||
\(523\) | 38.7267 | − | 12.5831i | 1.69340 | − | 0.550219i | 0.705965 | − | 0.708247i | \(-0.250514\pi\) |
0.987435 | + | 0.158028i | \(0.0505137\pi\) | |||||||
\(524\) | −6.28903 | − | 8.65611i | −0.274738 | − | 0.378144i | ||||
\(525\) | 1.45939 | + | 8.49066i | 0.0636929 | + | 0.370563i | ||||
\(526\) | 11.9344i | 0.520366i | ||||||||
\(527\) | −20.1132 | + | 17.3579i | −0.876144 | + | 0.756120i | ||||
\(528\) | −7.66578 | − | 7.46694i | −0.333610 | − | 0.324957i | ||||
\(529\) | −33.2553 | − | 24.1614i | −1.44588 | − | 1.05049i | ||||
\(530\) | −8.82808 | + | 6.41398i | −0.383467 | + | 0.278605i | ||||
\(531\) | 13.5429 | + | 38.2322i | 0.587712 | + | 1.65913i | ||||
\(532\) | 2.06374 | 0.0894744 | ||||||||
\(533\) | −6.63525 | −0.287404 | ||||||||
\(534\) | 13.1598 | + | 6.48888i | 0.569478 | + | 0.280801i | ||||
\(535\) | −4.24834 | + | 13.0750i | −0.183672 | + | 0.565284i | ||||
\(536\) | 10.9518 | + | 3.55846i | 0.473047 | + | 0.153702i | ||||
\(537\) | −0.271985 | − | 1.58240i | −0.0117370 | − | 0.0682856i | ||||
\(538\) | −13.0786 | + | 4.24949i | −0.563858 | + | 0.183209i | ||||
\(539\) | 88.6747 | + | 64.4259i | 3.81949 | + | 2.77502i | ||||
\(540\) | 5.16022 | + | 0.609989i | 0.222061 | + | 0.0262498i | ||||
\(541\) | 2.76029 | − | 8.49529i | 0.118674 | − | 0.365241i | −0.874022 | − | 0.485887i | \(-0.838497\pi\) |
0.992696 | + | 0.120646i | \(0.0384966\pi\) | |||||||
\(542\) | 23.8634 | − | 17.3377i | 1.02502 | − | 0.744720i | ||||
\(543\) | −4.27803 | + | 29.5152i | −0.183588 | + | 1.26662i | ||||
\(544\) | 4.53813 | + | 1.47453i | 0.194571 | + | 0.0632199i | ||||
\(545\) | −2.17939 | − | 2.99968i | −0.0933549 | − | 0.128492i | ||||
\(546\) | 2.24989 | + | 13.0898i | 0.0962863 | + | 0.560190i | ||||
\(547\) | −0.642969 | − | 1.97885i | −0.0274914 | − | 0.0846097i | 0.936369 | − | 0.351016i | \(-0.114164\pi\) |
−0.963861 | + | 0.266406i | \(0.914164\pi\) | |||||||
\(548\) | 0.250780 | + | 0.182202i | 0.0107128 | + | 0.00778330i | ||||
\(549\) | −2.32970 | + | 7.86775i | −0.0994292 | + | 0.335787i | ||||
\(550\) | −5.87605 | − | 1.90924i | −0.250555 | − | 0.0814104i | ||||
\(551\) | 0.278329 | + | 0.856608i | 0.0118572 | + | 0.0364927i | ||||
\(552\) | −9.67637 | + | 9.93404i | −0.411854 | + | 0.422821i | ||||
\(553\) | 12.3833i | 0.526590i | ||||||||
\(554\) | −2.50321 | − | 7.70410i | −0.106351 | − | 0.327316i | ||||
\(555\) | −4.96831 | − | 0.720123i | −0.210893 | − | 0.0305675i | ||||
\(556\) | −3.54416 | + | 4.87812i | −0.150306 | + | 0.206878i | ||||
\(557\) | −29.1860 | −1.23665 | −0.618324 | − | 0.785923i | \(-0.712188\pi\) | ||||
−0.618324 | + | 0.785923i | \(0.712188\pi\) | |||||||
\(558\) | −16.6024 | + | 1.83295i | −0.702836 | + | 0.0775948i | ||||
\(559\) | 7.65546 | 0.323791 | ||||||||
\(560\) | −2.92363 | + | 4.02403i | −0.123546 | + | 0.170046i | ||||
\(561\) | −50.5354 | − | 7.32478i | −2.13361 | − | 0.309252i | ||||
\(562\) | 2.29320 | + | 7.05776i | 0.0967330 | + | 0.297714i | ||||
\(563\) | − | 11.3902i | − | 0.480040i | −0.970768 | − | 0.240020i | \(-0.922846\pi\) | ||
0.970768 | − | 0.240020i | \(-0.0771541\pi\) | |||||||
\(564\) | −12.4835 | + | 12.8159i | −0.525649 | + | 0.539646i | ||||
\(565\) | 3.48250 | + | 10.7180i | 0.146510 | + | 0.450912i | ||||
\(566\) | 16.7170 | + | 5.43167i | 0.702666 | + | 0.228310i | ||||
\(567\) | −11.5778 | + | 43.2426i | −0.486222 | + | 1.81602i | ||||
\(568\) | −4.46625 | − | 3.24492i | −0.187400 | − | 0.136154i | ||||
\(569\) | −3.64257 | − | 11.2107i | −0.152704 | − | 0.469975i | 0.845217 | − | 0.534424i | \(-0.179471\pi\) |
−0.997921 | + | 0.0644482i | \(0.979471\pi\) | |||||||
\(570\) | −0.121736 | − | 0.708255i | −0.00509896 | − | 0.0296655i | ||||
\(571\) | 13.3757 | + | 18.4100i | 0.559754 | + | 0.770435i | 0.991295 | − | 0.131658i | \(-0.0420301\pi\) |
−0.431541 | + | 0.902093i | \(0.642030\pi\) | |||||||
\(572\) | −9.05890 | − | 2.94341i | −0.378771 | − | 0.123070i | ||||
\(573\) | 2.70230 | − | 18.6438i | 0.112890 | − | 0.778857i | ||||
\(574\) | 17.3192 | − | 12.5831i | 0.722890 | − | 0.525210i | ||||
\(575\) | −2.47418 | + | 7.61474i | −0.103180 | + | 0.317557i | ||||
\(576\) | 1.82652 | + | 2.37988i | 0.0761048 | + | 0.0991618i | ||||
\(577\) | −19.7210 | − | 14.3282i | −0.820997 | − | 0.596489i | 0.0960008 | − | 0.995381i | \(-0.469395\pi\) |
−0.916998 | + | 0.398892i | \(0.869395\pi\) | |||||||
\(578\) | 5.48654 | − | 1.78269i | 0.228210 | − | 0.0741499i | ||||
\(579\) | −5.99218 | − | 34.8623i | −0.249026 | − | 1.44883i | ||||
\(580\) | −2.06458 | − | 0.670821i | −0.0857269 | − | 0.0278543i | ||||
\(581\) | −8.64976 | + | 26.6212i | −0.358852 | + | 1.10443i | ||||
\(582\) | −4.16433 | − | 2.05337i | −0.172617 | − | 0.0851148i | ||||
\(583\) | 67.4198 | 2.79224 | ||||||||
\(584\) | −4.97080 | −0.205693 | ||||||||
\(585\) | 4.35956 | − | 1.54428i | 0.180246 | − | 0.0638481i | ||||
\(586\) | 17.3054 | − | 12.5731i | 0.714879 | − | 0.519390i | ||||
\(587\) | −22.0050 | − | 15.9876i | −0.908244 | − | 0.659878i | 0.0323262 | − | 0.999477i | \(-0.489708\pi\) |
−0.940570 | + | 0.339600i | \(0.889708\pi\) | |||||||
\(588\) | −22.0110 | − | 21.4401i | −0.907720 | − | 0.884175i | ||||
\(589\) | 0.894998 | + | 2.12969i | 0.0368778 | + | 0.0877523i | ||||
\(590\) | 13.5200i | 0.556609i | ||||||||
\(591\) | −2.15543 | − | 12.5402i | −0.0886627 | − | 0.515836i | ||||
\(592\) | −1.70365 | − | 2.34488i | −0.0700197 | − | 0.0963738i | ||||
\(593\) | 36.6070 | − | 11.8943i | 1.50327 | − | 0.488442i | 0.562301 | − | 0.826933i | \(-0.309916\pi\) |
0.940970 | + | 0.338490i | \(0.109916\pi\) | |||||||
\(594\) | −23.5780 | − | 21.7889i | −0.967415 | − | 0.894008i | ||||
\(595\) | 23.7342i | 0.973006i | ||||||||
\(596\) | −10.5595 | + | 3.43100i | −0.432535 | + | 0.140539i | ||||
\(597\) | 6.55527 | + | 12.4581i | 0.268290 | + | 0.509874i | ||||
\(598\) | −3.81435 | + | 11.7394i | −0.155981 | + | 0.480059i | ||||
\(599\) | −7.82590 | + | 10.7714i | −0.319758 | + | 0.440109i | −0.938393 | − | 0.345570i | \(-0.887686\pi\) |
0.618636 | + | 0.785678i | \(0.287686\pi\) | |||||||
\(600\) | 1.55347 | + | 0.765991i | 0.0634200 | + | 0.0312714i | ||||
\(601\) | 0.295682 | − | 0.406972i | 0.0120611 | − | 0.0166007i | −0.802944 | − | 0.596055i | \(-0.796734\pi\) |
0.815005 | + | 0.579454i | \(0.196734\pi\) | |||||||
\(602\) | −19.9821 | + | 14.5179i | −0.814411 | + | 0.591705i | ||||
\(603\) | 33.1246 | + | 9.80846i | 1.34894 | + | 0.399431i | ||||
\(604\) | −9.00945 | − | 12.4004i | −0.366589 | − | 0.504567i | ||||
\(605\) | 15.9720 | + | 21.9835i | 0.649353 | + | 0.893757i | ||||
\(606\) | 7.08907 | − | 3.73018i | 0.287974 | − | 0.151528i | ||||
\(607\) | 31.2607 | − | 22.7122i | 1.26883 | − | 0.921860i | 0.269677 | − | 0.962951i | \(-0.413083\pi\) |
0.999155 | + | 0.0410906i | \(0.0130832\pi\) | |||||||
\(608\) | 0.243877 | − | 0.335667i | 0.00989050 | − | 0.0136131i | ||||
\(609\) | 8.27087 | − | 16.7737i | 0.335153 | − | 0.679706i | ||||
\(610\) | −1.60768 | + | 2.21278i | −0.0650929 | + | 0.0895927i | ||||
\(611\) | −4.92089 | + | 15.1450i | −0.199078 | + | 0.612699i | ||||
\(612\) | 13.7259 | + | 4.06435i | 0.554838 | + | 0.164292i | ||||
\(613\) | −26.8487 | + | 8.72368i | −1.08441 | + | 0.352346i | −0.796084 | − | 0.605186i | \(-0.793099\pi\) |
−0.288326 | + | 0.957532i | \(0.593099\pi\) | |||||||
\(614\) | − | 9.23945i | − | 0.372874i | ||||||
\(615\) | −5.34004 | − | 5.20153i | −0.215331 | − | 0.209746i | ||||
\(616\) | 29.2273 | − | 9.49652i | 1.17760 | − | 0.382626i | ||||
\(617\) | −18.6115 | − | 25.6166i | −0.749273 | − | 1.03129i | −0.998031 | − | 0.0627199i | \(-0.980023\pi\) |
0.248758 | − | 0.968566i | \(-0.419977\pi\) | |||||||
\(618\) | 20.6409 | − | 3.54780i | 0.830300 | − | 0.142713i | ||||
\(619\) | 16.9003i | 0.679279i | 0.940556 | + | 0.339639i | \(0.110305\pi\) | ||||
−0.940556 | + | 0.339639i | \(0.889695\pi\) | |||||||
\(620\) | −5.42054 | − | 1.27192i | −0.217694 | − | 0.0510817i | ||||
\(621\) | −28.2361 | + | 30.5546i | −1.13307 | + | 1.22611i | ||||
\(622\) | 8.47833 | + | 6.15987i | 0.339950 | + | 0.246988i | ||||
\(623\) | −34.0884 | + | 24.7667i | −1.36572 | + | 0.992256i | ||||
\(624\) | 2.39492 | + | 1.18090i | 0.0958737 | + | 0.0472739i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −17.0056 | −0.679680 | ||||||||
\(627\) | −1.96360 | + | 3.98228i | −0.0784188 | + | 0.159037i | ||||
\(628\) | 6.69736 | − | 20.6124i | 0.267254 | − | 0.822522i | ||||
\(629\) | −13.1534 | − | 4.27381i | −0.524462 | − | 0.170408i | ||||
\(630\) | −8.45067 | + | 12.2984i | −0.336683 | + | 0.489978i | ||||
\(631\) | 13.2090 | − | 4.29188i | 0.525844 | − | 0.170857i | −0.0340520 | − | 0.999420i | \(-0.510841\pi\) |
0.559896 | + | 0.828563i | \(0.310841\pi\) | |||||||
\(632\) | 2.01414 | + | 1.46336i | 0.0801183 | + | 0.0582093i | ||||
\(633\) | 33.0431 | + | 4.78939i | 1.31335 | + | 0.190361i | ||||
\(634\) | −1.30870 | + | 4.02776i | −0.0519750 | + | 0.159963i | ||||
\(635\) | 4.95791 | − | 3.60213i | 0.196749 | − | 0.142946i | ||||
\(636\) | −18.7049 | − | 2.71115i | −0.741696 | − | 0.107504i | ||||
\(637\) | −26.0111 | − | 8.45153i | −1.03060 | − | 0.334862i | ||||
\(638\) | 7.88356 | + | 10.8508i | 0.312113 | + | 0.429587i | ||||
\(639\) | −13.6499 | − | 9.37936i | −0.539982 | − | 0.371042i | ||||
\(640\) | 0.309017 | + | 0.951057i | 0.0122150 | + | 0.0375938i | ||||
\(641\) | 17.9902 | + | 13.0707i | 0.710571 | + | 0.516260i | 0.883358 | − | 0.468699i | \(-0.155277\pi\) |
−0.172787 | + | 0.984959i | \(0.555277\pi\) | |||||||
\(642\) | −21.0729 | + | 11.0883i | −0.831680 | + | 0.437620i | ||||
\(643\) | 3.91668 | + | 1.27261i | 0.154459 | + | 0.0501867i | 0.385226 | − | 0.922822i | \(-0.374124\pi\) |
−0.230767 | + | 0.973009i | \(0.574124\pi\) | |||||||
\(644\) | −12.3065 | − | 37.8755i | −0.484944 | − | 1.49250i | ||||
\(645\) | 6.16110 | + | 6.00130i | 0.242593 | + | 0.236301i | ||||
\(646\) | − | 1.97980i | − | 0.0778944i | ||||||
\(647\) | 3.65270 | + | 11.2419i | 0.143603 | + | 0.441963i | 0.996829 | − | 0.0795779i | \(-0.0253573\pi\) |
−0.853226 | + | 0.521541i | \(0.825357\pi\) | |||||||
\(648\) | 5.66524 | + | 6.99321i | 0.222552 | + | 0.274719i | ||||
\(649\) | 49.0991 | − | 67.5791i | 1.92731 | − | 2.65271i | ||||
\(650\) | 1.54166 | 0.0604691 | ||||||||
\(651\) | 17.5432 | − | 44.6441i | 0.687573 | − | 1.74974i | ||||
\(652\) | 5.79950 | 0.227126 | ||||||||
\(653\) | 0.863803 | − | 1.18892i | 0.0338032 | − | 0.0465262i | −0.791781 | − | 0.610805i | \(-0.790846\pi\) |
0.825584 | + | 0.564279i | \(0.190846\pi\) | |||||||
\(654\) | 0.921216 | − | 6.35569i | 0.0360224 | − | 0.248527i | ||||
\(655\) | −3.30634 | − | 10.1759i | −0.129189 | − | 0.397604i | ||||
\(656\) | − | 4.30395i | − | 0.168041i | ||||||
\(657\) | −14.9072 | + | 0.391811i | −0.581587 | + | 0.0152860i | ||||
\(658\) | −15.8766 | − | 48.8631i | −0.618934 | − | 1.90488i | ||||
\(659\) | 1.71853 | + | 0.558384i | 0.0669444 | + | 0.0217515i | 0.342298 | − | 0.939592i | \(-0.388795\pi\) |
−0.275353 | + | 0.961343i | \(0.588795\pi\) | |||||||
\(660\) | −4.98318 | − | 9.47034i | −0.193970 | − | 0.368633i | ||||
\(661\) | 31.3665 | + | 22.7891i | 1.22001 | + | 0.886392i | 0.996101 | − | 0.0882168i | \(-0.0281168\pi\) |
0.223913 | + | 0.974609i | \(0.428117\pi\) | |||||||
\(662\) | −2.42289 | − | 7.45690i | −0.0941684 | − | 0.289821i | ||||
\(663\) | 12.5574 | − | 2.15838i | 0.487688 | − | 0.0838246i | ||||
\(664\) | 3.30778 | + | 4.55277i | 0.128367 | + | 0.176682i | ||||
\(665\) | 1.96273 | + | 0.637730i | 0.0761115 | + | 0.0247301i | ||||
\(666\) | −5.29402 | − | 6.89792i | −0.205139 | − | 0.267289i | ||||
\(667\) | 14.0615 | − | 10.2163i | 0.544462 | − | 0.395575i | ||||
\(668\) | −3.79271 | + | 11.6728i | −0.146744 | + | 0.451633i | ||||
\(669\) | −3.77189 | + | 26.0232i | −0.145830 | + | 1.00611i | ||||
\(670\) | 9.31618 | + | 6.76860i | 0.359915 | + | 0.261494i | ||||
\(671\) | 16.0718 | − | 5.22205i | 0.620446 | − | 0.201595i | ||||
\(672\) | −8.49066 | + | 1.45939i | −0.327534 | + | 0.0562971i | ||||
\(673\) | −3.66883 | − | 1.19208i | −0.141423 | − | 0.0459512i | 0.237450 | − | 0.971400i | \(-0.423688\pi\) |
−0.378873 | + | 0.925449i | \(0.623688\pi\) | |||||||
\(674\) | 5.33692 | − | 16.4253i | 0.205570 | − | 0.632680i | ||||
\(675\) | 4.71917 | + | 2.17473i | 0.181641 | + | 0.0837054i | ||||
\(676\) | −10.6233 | −0.408587 | ||||||||
\(677\) | −26.4759 | −1.01755 | −0.508775 | − | 0.860900i | \(-0.669901\pi\) | ||||
−0.508775 | + | 0.860900i | \(0.669901\pi\) | |||||||
\(678\) | −8.63243 | + | 17.5070i | −0.331526 | + | 0.672351i | ||||
\(679\) | 10.7871 | − | 7.83727i | 0.413970 | − | 0.300767i | ||||
\(680\) | 3.86037 | + | 2.80472i | 0.148038 | + | 0.107556i | ||||
\(681\) | 14.2356 | − | 14.6147i | 0.545510 | − | 0.560036i | ||||
\(682\) | 22.4752 | + | 26.0429i | 0.860621 | + | 0.997233i | ||||
\(683\) | − | 9.77710i | − | 0.374110i | −0.982349 | − | 0.187055i | \(-0.940106\pi\) | ||
0.982349 | − | 0.187055i | \(-0.0598943\pi\) | |||||||
\(684\) | 0.704919 | − | 1.02588i | 0.0269533 | − | 0.0392254i | ||||
\(685\) | 0.182202 | + | 0.250780i | 0.00696159 | + | 0.00958181i | ||||
\(686\) | 50.8077 | − | 16.5084i | 1.93985 | − | 0.630294i | ||||
\(687\) | −9.62343 | + | 9.87969i | −0.367157 | + | 0.376934i | ||||
\(688\) | 4.96571i | 0.189316i | ||||||||
\(689\) | −15.9995 | + | 5.19854i | −0.609531 | + | 0.198049i | ||||
\(690\) | −12.2726 | + | 6.45767i | −0.467209 | + | 0.245839i | ||||
\(691\) | −1.49593 | + | 4.60401i | −0.0569080 | + | 0.175145i | −0.975470 | − | 0.220132i | \(-0.929351\pi\) |
0.918562 | + | 0.395277i | \(0.129351\pi\) | |||||||
\(692\) | −7.88064 | + | 10.8468i | −0.299577 | + | 0.412333i | ||||
\(693\) | 86.9030 | − | 30.7835i | 3.30117 | − | 1.16937i | ||||
\(694\) | 7.68972 | − | 10.5840i | 0.291898 | − | 0.401763i | ||||
\(695\) | −4.87812 | + | 3.54416i | −0.185037 | + | 0.134438i | ||||
\(696\) | −1.75086 | − | 3.32745i | −0.0663662 | − | 0.126127i | ||||
\(697\) | −12.0714 | − | 16.6148i | −0.457236 | − | 0.629331i | ||||
\(698\) | 5.10531 | + | 7.02686i | 0.193239 | + | 0.265970i | ||||
\(699\) | −9.95334 | − | 18.9159i | −0.376470 | − | 0.715467i | ||||
\(700\) | −4.02403 | + | 2.92363i | −0.152094 | + | 0.110503i | ||||
\(701\) | 10.1880 | − | 14.0225i | 0.384795 | − | 0.529624i | −0.572052 | − | 0.820217i | \(-0.693853\pi\) |
0.956847 | + | 0.290593i | \(0.0938525\pi\) | |||||||
\(702\) | 7.27538 | + | 3.35271i | 0.274591 | + | 0.126540i | ||||
\(703\) | −0.706859 | + | 0.972907i | −0.0266597 | + | 0.0366939i | ||||
\(704\) | 1.90924 | − | 5.87605i | 0.0719573 | − | 0.221462i | ||||
\(705\) | −15.8328 | + | 8.33103i | −0.596298 | + | 0.313765i | ||||
\(706\) | −13.3752 | + | 4.34587i | −0.503382 | + | 0.163559i | ||||
\(707\) | 23.0041i | 0.865159i | ||||||||
\(708\) | −16.3395 | + | 16.7746i | −0.614078 | + | 0.630430i | ||||
\(709\) | −48.3992 | + | 15.7259i | −1.81767 | + | 0.590597i | −0.817785 | + | 0.575524i | \(0.804798\pi\) |
−0.999886 | + | 0.0150727i | \(0.995202\pi\) | |||||||
\(710\) | −3.24492 | − | 4.46625i | −0.121780 | − | 0.167615i | ||||
\(711\) | 6.15568 | + | 4.22980i | 0.230856 | + | 0.158630i | ||||
\(712\) | 8.47122i | 0.317472i | ||||||||
\(713\) | 33.7488 | − | 29.1255i | 1.26390 | − | 1.09076i | ||||
\(714\) | −28.6839 | + | 29.4477i | −1.07347 | + | 1.10205i | ||||
\(715\) | −7.70596 | − | 5.59871i | −0.288186 | − | 0.209380i | ||||
\(716\) | 0.749956 | − | 0.544875i | 0.0280272 | − | 0.0203629i | ||||
\(717\) | −3.12045 | + | 6.32842i | −0.116535 | + | 0.236339i | ||||
\(718\) | 3.76747 | 0.140601 | ||||||||
\(719\) | 29.0222 | 1.08235 | 0.541173 | − | 0.840911i | \(-0.317980\pi\) | ||||
0.541173 | + | 0.840911i | \(0.317980\pi\) | |||||||
\(720\) | 1.00170 | + | 2.82783i | 0.0373310 | + | 0.105387i | ||||
\(721\) | −18.5856 | + | 57.2006i | −0.692164 | + | 2.13026i | ||||
\(722\) | 17.9064 | + | 5.81813i | 0.666405 | + | 0.216528i | ||||
\(723\) | −17.2549 | + | 2.96579i | −0.641716 | + | 0.110299i | ||||
\(724\) | −16.3759 | + | 5.32086i | −0.608606 | + | 0.197748i | ||||
\(725\) | −1.75623 | − | 1.27598i | −0.0652249 | − | 0.0473886i | ||||
\(726\) | −6.75125 | + | 46.5785i | −0.250562 | + | 1.72869i | ||||
\(727\) | −15.1186 | + | 46.5301i | −0.560716 | + | 1.72571i | 0.119632 | + | 0.992818i | \(0.461829\pi\) |
−0.680348 | + | 0.732889i | \(0.738171\pi\) | |||||||
\(728\) | −6.20370 | + | 4.50725i | −0.229924 | + | 0.167050i | ||||
\(729\) | 17.5411 | + | 20.5258i | 0.649670 | + | 0.760216i | ||||
\(730\) | −4.72751 | − | 1.53606i | −0.174973 | − | 0.0568521i | ||||
\(731\) | 13.9274 | + | 19.1695i | 0.515124 | + | 0.709008i | ||||
\(732\) | −4.66894 | + | 0.802504i | −0.172569 | + | 0.0296614i | ||||
\(733\) | 1.91771 | + | 5.90211i | 0.0708323 | + | 0.217999i | 0.980206 | − | 0.197981i | \(-0.0634384\pi\) |
−0.909374 | + | 0.415981i | \(0.863438\pi\) | |||||||
\(734\) | 12.7694 | + | 9.27751i | 0.471327 | + | 0.342439i | ||||
\(735\) | −14.3084 | − | 27.1925i | −0.527772 | − | 1.00301i | ||||
\(736\) | −7.61474 | − | 2.47418i | −0.280683 | − | 0.0911994i | ||||
\(737\) | −21.9858 | − | 67.6652i | −0.809856 | − | 2.49248i | ||||
\(738\) | −0.339248 | − | 12.9074i | −0.0124879 | − | 0.475128i | ||||
\(739\) | 2.85552i | 0.105042i | 0.998620 | + | 0.0525210i | \(0.0167257\pi\) | ||||
−0.998620 | + | 0.0525210i | \(0.983274\pi\) | |||||||
\(740\) | −0.895663 | − | 2.75657i | −0.0329252 | − | 0.101333i | ||||
\(741\) | 0.158923 | − | 1.09645i | 0.00583817 | − | 0.0402790i | ||||
\(742\) | 31.9029 | − | 43.9106i | 1.17119 | − | 1.61201i | ||||
\(743\) | 32.0725 | 1.17663 | 0.588313 | − | 0.808633i | \(-0.299792\pi\) | ||||
0.588313 | + | 0.808633i | \(0.299792\pi\) | |||||||
\(744\) | −5.18824 | − | 8.12909i | −0.190210 | − | 0.298027i | ||||
\(745\) | −11.1030 | −0.406781 | ||||||||
\(746\) | −6.17160 | + | 8.49448i | −0.225958 | + | 0.311005i | ||||
\(747\) | 10.2788 | + | 13.3929i | 0.376081 | + | 0.490020i | ||||
\(748\) | −9.11029 | − | 28.0386i | −0.333105 | − | 1.02519i | ||||
\(749\) | − | 68.3817i | − | 2.49861i | ||||||
\(750\) | 1.24073 | + | 1.20855i | 0.0453051 | + | 0.0441299i | ||||
\(751\) | −3.36002 | − | 10.3411i | −0.122609 | − | 0.377351i | 0.870849 | − | 0.491551i | \(-0.163570\pi\) |
−0.993458 | + | 0.114200i | \(0.963570\pi\) | |||||||
\(752\) | −9.82376 | − | 3.19193i | −0.358236 | − | 0.116398i | ||||
\(753\) | 14.9886 | − | 7.88682i | 0.546215 | − | 0.287412i | ||||
\(754\) | −2.70752 | − | 1.96713i | −0.0986022 | − | 0.0716387i | ||||
\(755\) | −4.73655 | − | 14.5776i | −0.172381 | − | 0.530533i | ||||
\(756\) | −25.3482 | + | 5.04591i | −0.921904 | + | 0.183518i | ||||
\(757\) | 2.75556 | + | 3.79270i | 0.100152 | + | 0.137848i | 0.856152 | − | 0.516724i | \(-0.172849\pi\) |
−0.755999 | + | 0.654572i | \(0.772849\pi\) | |||||||
\(758\) | −7.35309 | − | 2.38916i | −0.267076 | − | 0.0867783i | ||||
\(759\) | 84.7956 | + | 12.2906i | 3.07789 | + | 0.446119i | ||||
\(760\) | 0.335667 | − | 0.243877i | 0.0121759 | − | 0.00884633i | ||||
\(761\) | 1.88509 | − | 5.80172i | 0.0683345 | − | 0.210312i | −0.911058 | − | 0.412278i | \(-0.864733\pi\) |
0.979392 | + | 0.201966i | \(0.0647331\pi\) | |||||||
\(762\) | 10.5048 | + | 1.52260i | 0.380548 | + | 0.0551579i | ||||
\(763\) | 14.9203 | + | 10.8402i | 0.540151 | + | 0.392443i | ||||
\(764\) | 10.3442 | − | 3.36102i | 0.374239 | − | 0.121598i | ||||
\(765\) | 11.7982 | + | 8.10697i | 0.426564 | + | 0.293108i | ||||
\(766\) | −19.6588 | − | 6.38754i | −0.710302 | − | 0.230791i | ||||
\(767\) | −6.44093 | + | 19.8231i | −0.232568 | + | 0.715772i | ||||
\(768\) | −0.765991 | + | 1.55347i | −0.0276403 | + | 0.0560559i | ||||
\(769\) | 29.6057 | 1.06761 | 0.533804 | − | 0.845608i | \(-0.320762\pi\) | ||||
0.533804 | + | 0.845608i | \(0.320762\pi\) | |||||||
\(770\) | 30.7314 | 1.10748 | ||||||||
\(771\) | −16.8387 | − | 8.30291i | −0.606431 | − | 0.299022i | ||||
\(772\) | 16.5225 | − | 12.0043i | 0.594656 | − | 0.432043i | ||||
\(773\) | 12.9573 | + | 9.41402i | 0.466041 | + | 0.338599i | 0.795897 | − | 0.605433i | \(-0.207000\pi\) |
−0.329855 | + | 0.944032i | \(0.607000\pi\) | |||||||
\(774\) | 0.391410 | + | 14.8920i | 0.0140689 | + | 0.535281i | ||||
\(775\) | −4.76219 | − | 2.88471i | −0.171063 | − | 0.103622i | ||||
\(776\) | − | 2.68067i | − | 0.0962304i | ||||||
\(777\) | 24.6096 | − | 4.22993i | 0.882863 | − | 0.151748i | ||||
\(778\) | 13.8866 | + | 19.1133i | 0.497859 | + | 0.685244i | ||||
\(779\) | −1.69834 | + | 0.551824i | −0.0608494 | + | 0.0197712i | ||||
\(780\) | 1.91279 | + | 1.86318i | 0.0684889 | + | 0.0667124i | ||||
\(781\) | 34.1086i | 1.22050i | ||||||||
\(782\) | −36.3351 | + | 11.8060i | −1.29934 | + | 0.422181i | ||||
\(783\) | −5.51305 | − | 9.84089i | −0.197020 | − | 0.351685i | ||||
\(784\) | 5.48208 | − | 16.8721i | 0.195789 | − | 0.602575i | ||||
\(785\) | 12.7391 | − | 17.5339i | 0.454679 | − | 0.625812i | ||||
\(786\) | 8.19575 | − | 16.6214i | 0.292333 | − | 0.592865i | ||||
\(787\) | 19.5535 | − | 26.9131i | 0.697007 | − | 0.959348i | −0.302973 | − | 0.952999i | \(-0.597979\pi\) |
0.999980 | − | 0.00634842i | \(-0.00202078\pi\) | |||||||
\(788\) | 5.94326 | − | 4.31803i | 0.211720 | − | 0.153823i | ||||
\(789\) | −18.2932 | + | 9.62564i | −0.651254 | + | 0.342682i | ||||
\(790\) | 1.46336 | + | 2.01414i | 0.0520640 | + | 0.0716599i | ||||
\(791\) | −32.9482 | − | 45.3493i | −1.17150 | − | 1.61243i | ||||
\(792\) | 5.26259 | − | 17.7725i | 0.186998 | − | 0.631520i | ||||
\(793\) | −3.41136 | + | 2.47850i | −0.121141 | + | 0.0880140i | ||||
\(794\) | −15.8359 | + | 21.7962i | −0.561995 | + | 0.773520i | ||||
\(795\) | −16.9516 | − | 8.35858i | −0.601211 | − | 0.296448i | ||||
\(796\) | −4.77730 | + | 6.57539i | −0.169327 | + | 0.233058i | ||||
\(797\) | 2.32251 | − | 7.14796i | 0.0822676 | − | 0.253194i | −0.901459 | − | 0.432864i | \(-0.857503\pi\) |
0.983727 | + | 0.179670i | \(0.0575030\pi\) | |||||||
\(798\) | 1.66449 | + | 3.16331i | 0.0589224 | + | 0.111980i | ||||
\(799\) | −46.8758 | + | 15.2309i | −1.65835 | + | 0.538830i | ||||
\(800\) | 1.00000i | 0.0353553i | ||||||||
\(801\) | 0.667723 | + | 25.4049i | 0.0235928 | + | 0.897637i | ||||
\(802\) | −36.2667 | + | 11.7838i | −1.28062 | + | 0.416099i | ||||
\(803\) | 18.0519 | + | 24.8463i | 0.637039 | + | 0.876808i | ||||
\(804\) | 3.37869 | + | 19.6571i | 0.119157 | + | 0.693251i | ||||
\(805\) | − | 39.8246i | − | 1.40363i | ||||||
\(806\) | −7.34170 | − | 4.44726i | −0.258600 | − | 0.156648i | ||||
\(807\) | −17.0621 | − | 16.6195i | −0.600613 | − | 0.585035i | ||||
\(808\) | 3.74162 | + | 2.71845i | 0.131630 | + | 0.0956346i | ||||
\(809\) | −21.3018 | + | 15.4767i | −0.748931 | + | 0.544130i | −0.895495 | − | 0.445071i | \(-0.853179\pi\) |
0.146564 | + | 0.989201i | \(0.453179\pi\) | |||||||
\(810\) | 3.22695 | + | 8.40160i | 0.113383 | + | 0.295202i | ||||
\(811\) | −16.4995 | −0.579375 | −0.289687 | − | 0.957121i | \(-0.593551\pi\) | ||||
−0.289687 | + | 0.957121i | \(0.593551\pi\) | |||||||
\(812\) | 10.7976 | 0.378922 | ||||||||
\(813\) | 45.8222 | + | 22.5942i | 1.60705 | + | 0.792414i | ||||
\(814\) | −5.53380 | + | 17.0313i | −0.193960 | + | 0.596946i | ||||
\(815\) | 5.51565 | + | 1.79214i | 0.193205 | + | 0.0627761i | ||||
\(816\) | 1.40003 | + | 8.14534i | 0.0490110 | + | 0.285144i | ||||
\(817\) | 1.95947 | − | 0.636671i | 0.0685532 | − | 0.0222743i | ||||
\(818\) | 19.3237 | + | 14.0395i | 0.675637 | + | 0.490879i | ||||
\(819\) | −18.2494 | + | 14.0061i | −0.637686 | + | 0.489412i | ||||
\(820\) | 1.32999 | − | 4.09330i | 0.0464454 | − | 0.142944i | ||||
\(821\) | −12.0857 | + | 8.78077i | −0.421793 | + | 0.306451i | −0.778359 | − | 0.627819i | \(-0.783948\pi\) |
0.356566 | + | 0.934270i | \(0.383948\pi\) | |||||||
\(822\) | −0.0770158 | + | 0.531351i | −0.00268623 | + | 0.0185330i | ||||
\(823\) | −6.39386 | − | 2.07749i | −0.222876 | − | 0.0724167i | 0.195450 | − | 0.980714i | \(-0.437383\pi\) |
−0.418326 | + | 0.908297i | \(0.637383\pi\) | |||||||
\(824\) | 7.10738 | + | 9.78248i | 0.247597 | + | 0.340789i | ||||
\(825\) | −1.81279 | − | 10.5467i | −0.0631131 | − | 0.367190i | ||||
\(826\) | −20.7808 | − | 63.9566i | −0.723055 | − | 2.22534i | ||||
\(827\) | −16.0873 | − | 11.6881i | −0.559411 | − | 0.406436i | 0.271832 | − | 0.962345i | \(-0.412370\pi\) |
−0.831243 | + | 0.555909i | \(0.812370\pi\) | |||||||
\(828\) | −23.0313 | − | 6.81976i | −0.800395 | − | 0.237003i | ||||
\(829\) | −2.93224 | − | 0.952741i | −0.101841 | − | 0.0330901i | 0.257653 | − | 0.966237i | \(-0.417051\pi\) |
−0.359494 | + | 0.933147i | \(0.617051\pi\) | |||||||
\(830\) | 1.73900 | + | 5.35211i | 0.0603617 | + | 0.185774i | ||||
\(831\) | 9.78993 | − | 10.0506i | 0.339609 | − | 0.348652i | ||||
\(832\) | 1.54166i | 0.0534476i | ||||||||
\(833\) | −26.1587 | − | 80.5082i | −0.906346 | − | 2.78944i | ||||
\(834\) | −10.3357 | − | 1.49809i | −0.357896 | − | 0.0518747i | ||||
\(835\) | −7.21416 | + | 9.92944i | −0.249656 | + | 0.343622i | ||||
\(836\) | −2.56348 | −0.0886599 | ||||||||
\(837\) | −16.2001 | − | 23.9699i | −0.559957 | − | 0.828521i | ||||
\(838\) | 35.5291 | 1.22733 | ||||||||
\(839\) | 20.6339 | − | 28.4001i | 0.712361 | − | 0.980481i | −0.287382 | − | 0.957816i | \(-0.592785\pi\) |
0.999743 | − | 0.0226649i | \(-0.00721507\pi\) | |||||||
\(840\) | −8.52607 | − | 1.23580i | −0.294178 | − | 0.0426391i | ||||
\(841\) | −7.50526 | − | 23.0988i | −0.258802 | − | 0.796511i | ||||
\(842\) | 12.8082i | 0.441401i | ||||||||
\(843\) | −8.96860 | + | 9.20742i | −0.308895 | + | 0.317120i | ||||
\(844\) | 5.95687 | + | 18.3333i | 0.205044 | + | 0.631060i | ||||
\(845\) | −10.1033 | − | 3.28277i | −0.347565 | − | 0.112931i | ||||
\(846\) | −29.7127 | − | 8.79816i | −1.02154 | − | 0.302487i | ||||
\(847\) | −109.345 | − | 79.4441i | −3.75715 | − | 2.72973i | ||||
\(848\) | −3.37203 | − | 10.3780i | −0.115796 | − | 0.356383i | ||||
\(849\) | 5.15725 | + | 30.0047i | 0.176997 | + | 1.02976i | ||||
\(850\) | 2.80472 | + | 3.86037i | 0.0962011 | + | 0.132409i | ||||
\(851\) | 22.0708 | + | 7.17123i | 0.756576 | + | 0.245826i | ||||
\(852\) | 1.37161 | − | 9.46305i | 0.0469905 | − | 0.324199i | ||||
\(853\) | −28.2153 | + | 20.4996i | −0.966075 | + | 0.701894i | −0.954554 | − | 0.298039i | \(-0.903667\pi\) |
−0.0115211 | + | 0.999934i | \(0.503667\pi\) | |||||||
\(854\) | 4.20403 | − | 12.9387i | 0.143859 | − | 0.442752i | ||||
\(855\) | 0.987431 | − | 0.757835i | 0.0337694 | − | 0.0259174i | ||||
\(856\) | −11.1223 | − | 8.08082i | −0.380152 | − | 0.276197i | ||||
\(857\) | 25.1455 | − | 8.17027i | 0.858954 | − | 0.279091i | 0.153762 | − | 0.988108i | \(-0.450861\pi\) |
0.705191 | + | 0.709017i | \(0.250861\pi\) | |||||||
\(858\) | −2.79471 | − | 16.2595i | −0.0954097 | − | 0.555090i | ||||
\(859\) | −10.1597 | − | 3.30110i | −0.346646 | − | 0.112632i | 0.130519 | − | 0.991446i | \(-0.458336\pi\) |
−0.477165 | + | 0.878814i | \(0.658336\pi\) | |||||||
\(860\) | −1.53449 | + | 4.72267i | −0.0523256 | + | 0.161042i | ||||
\(861\) | 33.2562 | + | 16.3981i | 1.13337 | + | 0.558846i | ||||
\(862\) | −40.9265 | −1.39396 | ||||||||
\(863\) | 7.38062 | 0.251239 | 0.125620 | − | 0.992078i | \(-0.459908\pi\) | ||||
0.125620 | + | 0.992078i | \(0.459908\pi\) | |||||||
\(864\) | −2.17473 | + | 4.71917i | −0.0739859 | + | 0.160549i | ||||
\(865\) | −10.8468 | + | 7.88064i | −0.368801 | + | 0.267950i | ||||
\(866\) | 12.4725 | + | 9.06183i | 0.423834 | + | 0.307933i | ||||
\(867\) | 7.15764 | + | 6.97198i | 0.243086 | + | 0.236781i | ||||
\(868\) | 27.5970 | − | 2.31472i | 0.936703 | − | 0.0785666i | ||||
\(869\) | − | 15.3819i | − | 0.521797i | ||||||
\(870\) | −0.636930 | − | 3.70564i | −0.0215940 | − | 0.125633i | ||||
\(871\) | 10.4349 | + | 14.3624i | 0.353574 | + | 0.486652i | ||||
\(872\) | 3.52633 | − | 1.14577i | 0.119417 | − | 0.0388008i | ||||
\(873\) | −0.211297 | − | 8.03923i | −0.00715132 | − | 0.272087i | ||||
\(874\) | 3.32200i | 0.112368i | ||||||||
\(875\) | −4.73053 | + | 1.53704i | −0.159921 | + | 0.0519615i | ||||
\(876\) | −4.00916 | − | 7.61926i | −0.135457 | − | 0.257431i | ||||
\(877\) | 12.3864 | − | 38.1213i | 0.418258 | − | 1.28727i | −0.491046 | − | 0.871134i | \(-0.663385\pi\) |
0.909304 | − | 0.416132i | \(-0.136615\pi\) | |||||||
\(878\) | 18.8511 | − | 25.9463i | 0.636195 | − | 0.875647i | ||||
\(879\) | 33.2296 | + | 16.3850i | 1.12081 | + | 0.552653i | ||||
\(880\) | 3.63160 | − | 4.99846i | 0.122421 | − | 0.168498i | ||||
\(881\) | −18.7252 | + | 13.6046i | −0.630867 | + | 0.458351i | −0.856700 | − | 0.515814i | \(-0.827489\pi\) |
0.225834 | + | 0.974166i | \(0.427489\pi\) | |||||||
\(882\) | 15.1107 | − | 51.0310i | 0.508802 | − | 1.71830i | ||||
\(883\) | 14.5289 | + | 19.9973i | 0.488936 | + | 0.672962i | 0.980191 | − | 0.198053i | \(-0.0634619\pi\) |
−0.491256 | + | 0.871015i | \(0.663462\pi\) | |||||||
\(884\) | 4.32394 | + | 5.95139i | 0.145430 | + | 0.200167i | ||||
\(885\) | −20.7235 | + | 10.9044i | −0.696612 | + | 0.366549i | ||||
\(886\) | 15.2795 | − | 11.1012i | 0.513324 | − | 0.372952i | ||||
\(887\) | −17.5865 | + | 24.2058i | −0.590497 | + | 0.812750i | −0.994797 | − | 0.101877i | \(-0.967515\pi\) |
0.404300 | + | 0.914627i | \(0.367515\pi\) | |||||||
\(888\) | 2.22017 | − | 4.50261i | 0.0745040 | − | 0.151098i | ||||
\(889\) | −17.9169 | + | 24.6605i | −0.600913 | + | 0.827086i | ||||
\(890\) | −2.61775 | + | 8.05661i | −0.0877472 | + | 0.270058i | ||||
\(891\) | 14.3814 | − | 53.7140i | 0.481796 | − | 1.79949i | ||||
\(892\) | −14.4385 | + | 4.69134i | −0.483436 | + | 0.157078i | ||||
\(893\) | 4.28571i | 0.143416i | ||||||||
\(894\) | −13.7758 | − | 13.4185i | −0.460731 | − | 0.448780i | ||||
\(895\) | 0.881626 | − | 0.286458i | 0.0294695 | − | 0.00957522i | ||||
\(896\) | −2.92363 | − | 4.02403i | −0.0976715 | − | 0.134433i | ||||
\(897\) | −21.0706 | + | 3.62165i | −0.703527 | + | 0.120923i | ||||
\(898\) | 0.351102i | 0.0117164i | ||||||||
\(899\) | 4.68269 | + | 11.1427i | 0.156176 | + | 0.371629i | ||||
\(900\) | 0.0788226 | + | 2.99896i | 0.00262742 | + | 0.0999655i | ||||
\(901\) | −42.1248 | − | 30.6054i | −1.40338 | − | 1.01961i | ||||
\(902\) | −21.5131 | + | 15.6302i | −0.716309 | + | 0.520429i | ||||
\(903\) | −38.3695 | − | 18.9194i | −1.27686 | − | 0.629599i | ||||
\(904\) | −11.2696 | −0.374822 | ||||||||
\(905\) | −17.2187 | −0.572367 | ||||||||
\(906\) | 11.7409 | − | 23.8112i | 0.390067 | − | 0.791074i | ||||
\(907\) | 15.4169 | − | 47.4483i | 0.511909 | − | 1.57549i | −0.276927 | − | 0.960891i | \(-0.589316\pi\) |
0.788836 | − | 0.614603i | \(-0.210684\pi\) | |||||||
\(908\) | 11.2026 | + | 3.63994i | 0.371771 | + | 0.120796i | ||||
\(909\) | 11.4353 | + | 7.85760i | 0.379284 | + | 0.260620i | ||||
\(910\) | −7.29289 | + | 2.36960i | −0.241757 | + | 0.0785516i | ||||
\(911\) | −29.9201 | − | 21.7382i | −0.991296 | − | 0.720219i | −0.0310918 | − | 0.999517i | \(-0.509898\pi\) |
−0.960205 | + | 0.279298i | \(0.909898\pi\) | |||||||
\(912\) | 0.711209 | + | 0.103085i | 0.0235505 | + | 0.00341349i | ||||
\(913\) | 10.7443 | − | 33.0677i | 0.355586 | − | 1.09438i | ||||
\(914\) | 21.3570 | − | 15.5168i | 0.706427 | − | 0.513249i | ||||
\(915\) | −4.68841 | − | 0.679554i | −0.154994 | − | 0.0224654i | ||||
\(916\) | −7.57308 | − | 2.46064i | −0.250221 | − | 0.0813019i | ||||
\(917\) | 31.2815 | + | 43.0552i | 1.03300 | + | 1.42181i | ||||
\(918\) | 4.84069 | + | 24.3172i | 0.159766 | + | 0.802588i | ||||
\(919\) | 0.188242 | + | 0.579349i | 0.00620952 | + | 0.0191109i | 0.954113 | − | 0.299446i | \(-0.0968018\pi\) |
−0.947904 | + | 0.318557i | \(0.896802\pi\) | |||||||
\(920\) | −6.47748 | − | 4.70617i | −0.213556 | − | 0.155158i | ||||
\(921\) | 14.1623 | − | 7.45201i | 0.466662 | − | 0.245552i | ||||
\(922\) | −1.96698 | − | 0.639110i | −0.0647790 | − | 0.0210480i | ||||
\(923\) | −2.63001 | − | 8.09434i | −0.0865679 | − | 0.266429i | ||||
\(924\) | 38.1294 | + | 37.1404i | 1.25436 | + | 1.22183i | ||||
\(925\) | − | 2.89843i | − | 0.0952997i | ||||||
\(926\) | −1.24624 | − | 3.83554i | −0.0409541 | − | 0.126044i | ||||
\(927\) | 22.0859 | + | 28.7771i | 0.725395 | + | 0.945163i | ||||
\(928\) | 1.27598 | − | 1.75623i | 0.0418860 | − | 0.0576512i | ||||
\(929\) | 8.56753 | 0.281091 | 0.140546 | − | 0.990074i | \(-0.455114\pi\) | ||||
0.140546 | + | 0.990074i | \(0.455114\pi\) | |||||||
\(930\) | −2.42228 | − | 9.33448i | −0.0794297 | − | 0.306090i | ||||
\(931\) | −7.36062 | −0.241235 | ||||||||
\(932\) | 7.25371 | − | 9.98387i | 0.237603 | − | 0.327033i | ||||
\(933\) | −2.60374 | + | 17.9638i | −0.0852426 | + | 0.588109i | ||||
\(934\) | 2.99149 | + | 9.20687i | 0.0978847 | + | 0.301258i | ||||
\(935\) | − | 29.4815i | − | 0.964149i | ||||||
\(936\) | 0.121518 | + | 4.62340i | 0.00397194 | + | 0.151120i | ||||
\(937\) | 4.07252 | + | 12.5339i | 0.133043 | + | 0.409466i | 0.995281 | − | 0.0970393i | \(-0.0309372\pi\) |
−0.862237 | + | 0.506505i | \(0.830937\pi\) | |||||||
\(938\) | −54.4741 | − | 17.6997i | −1.77864 | − | 0.577916i | ||||
\(939\) | −13.7157 | − | 26.0662i | −0.447596 | − | 0.850639i | ||||
\(940\) | −8.35659 | − | 6.07142i | −0.272562 | − | 0.198028i | ||||
\(941\) | 3.55213 | + | 10.9323i | 0.115796 | + | 0.356384i | 0.992112 | − | 0.125353i | \(-0.0400063\pi\) |
−0.876316 | + | 0.481736i | \(0.840006\pi\) | |||||||
\(942\) | 36.9964 | − | 6.35900i | 1.20541 | − | 0.207187i | ||||
\(943\) | 20.2551 | + | 27.8788i | 0.659597 | + | 0.907857i | ||||
\(944\) | −12.8583 | − | 4.17790i | −0.418501 | − | 0.135979i | ||||
\(945\) | −25.6668 | − | 3.03407i | −0.834941 | − | 0.0986983i | ||||
\(946\) | 24.8209 | − | 18.0335i | 0.806998 | − | 0.586318i | ||||
\(947\) | −15.2621 | + | 46.9718i | −0.495951 | + | 1.52638i | 0.319519 | + | 0.947580i | \(0.396479\pi\) |
−0.815470 | + | 0.578800i | \(0.803521\pi\) | |||||||
\(948\) | −0.618553 | + | 4.26755i | −0.0200897 | + | 0.138603i | ||||
\(949\) | −6.19974 | − | 4.50438i | −0.201252 | − | 0.146218i | ||||
\(950\) | 0.394601 | − | 0.128214i | 0.0128025 | − | 0.00415980i | ||||
\(951\) | −7.22929 | + | 1.24258i | −0.234426 | + | 0.0402934i | ||||
\(952\) | −22.5725 | − | 7.33426i | −0.731580 | − | 0.237705i | ||||
\(953\) | 4.51901 | − | 13.9081i | 0.146385 | − | 0.450527i | −0.850801 | − | 0.525487i | \(-0.823883\pi\) |
0.997187 | + | 0.0749603i | \(0.0238830\pi\) | |||||||
\(954\) | −10.9306 | − | 30.8576i | −0.353892 | − | 0.999051i | ||||
\(955\) | 10.8765 | 0.351955 | ||||||||
\(956\) | −4.07374 | −0.131754 | ||||||||
\(957\) | −10.2737 | + | 20.8356i | −0.332102 | + | 0.673518i | ||||
\(958\) | 11.9748 | − | 8.70017i | 0.386887 | − | 0.281090i | ||||
\(959\) | −1.24737 | − | 0.906269i | −0.0402798 | − | 0.0292650i | ||||
\(960\) | −1.20855 | + | 1.24073i | −0.0390057 | + | 0.0400444i | ||||
\(961\) | 14.3569 | + | 27.4751i | 0.463126 | + | 0.886293i | ||||
\(962\) | − | 4.46840i | − | 0.144067i | ||||||
\(963\) | −33.9923 | − | 23.3574i | −1.09539 | − | 0.752682i | ||||
\(964\) | −5.94145 | − | 8.17770i | −0.191361 | − | 0.263386i | ||||
\(965\) | 19.4233 | − | 6.31102i | 0.625259 | − | 0.203159i | ||||
\(966\) | 48.1300 | − | 49.4116i | 1.54856 | − | 1.58979i | ||||
\(967\) | 18.6246i | 0.598928i | 0.954108 | + | 0.299464i | \(0.0968078\pi\) | ||||
−0.954108 | + | 0.299464i | \(0.903192\pi\) | |||||||
\(968\) | −25.8432 | + | 8.39696i | −0.830631 | + | 0.269889i | ||||
\(969\) | 3.03465 | − | 1.59680i | 0.0974871 | − | 0.0512965i | ||||
\(970\) | 0.828372 | − | 2.54947i | 0.0265974 | − | 0.0818584i | ||||
\(971\) | 9.56650 | − | 13.1672i | 0.307004 | − | 0.422554i | −0.627440 | − | 0.778665i | \(-0.715897\pi\) |
0.934444 | + | 0.356110i | \(0.115897\pi\) | |||||||
\(972\) | −6.14996 | + | 14.3240i | −0.197260 | + | 0.459444i | ||||
\(973\) | 17.6285 | − | 24.2636i | 0.565145 | − | 0.777855i | ||||
\(974\) | −6.03603 | + | 4.38544i | −0.193407 | + | 0.140518i | ||||
\(975\) | 1.24342 | + | 2.36307i | 0.0398213 | + | 0.0756788i | ||||
\(976\) | −1.60768 | − | 2.21278i | −0.0514604 | − | 0.0708292i | ||||
\(977\) | 24.6202 | + | 33.8868i | 0.787671 | + | 1.08414i | 0.994394 | + | 0.105736i | \(0.0337200\pi\) |
−0.206723 | + | 0.978399i | \(0.566280\pi\) | |||||||
\(978\) | 4.67754 | + | 8.88950i | 0.149571 | + | 0.284255i | ||||
\(979\) | 42.3431 | − | 30.7641i | 1.35329 | − | 0.983223i | ||||
\(980\) | 10.4275 | − | 14.3523i | 0.333095 | − | 0.458467i | ||||
\(981\) | 10.4850 | − | 3.71409i | 0.334761 | − | 0.118582i | ||||
\(982\) | −16.2836 | + | 22.4124i | −0.519629 | + | 0.715208i | ||||
\(983\) | −4.84094 | + | 14.8989i | −0.154402 | + | 0.475201i | −0.998100 | − | 0.0616178i | \(-0.980374\pi\) |
0.843698 | + | 0.536819i | \(0.180374\pi\) | |||||||
\(984\) | 6.59711 | − | 3.47132i | 0.210308 | − | 0.110662i | ||||
\(985\) | 6.98672 | − | 2.27012i | 0.222615 | − | 0.0723321i | ||||
\(986\) | − | 10.3585i | − | 0.329881i | ||||||
\(987\) | 62.0924 | − | 63.7459i | 1.97642 | − | 2.02905i | ||||
\(988\) | 0.608342 | − | 0.197662i | 0.0193539 | − | 0.00628847i | ||||
\(989\) | −23.3695 | − | 32.1653i | −0.743105 | − | 1.02280i | ||||
\(990\) | 10.4970 | − | 15.2765i | 0.333618 | − | 0.485518i | ||||
\(991\) | − | 50.1682i | − | 1.59364i | −0.604214 | − | 0.796822i | \(-0.706513\pi\) | ||
0.604214 | − | 0.796822i | \(-0.293487\pi\) | |||||||
\(992\) | 2.88471 | − | 4.76219i | 0.0915896 | − | 0.151200i | ||||
\(993\) | 9.47580 | − | 9.72812i | 0.300705 | − | 0.308713i | ||||
\(994\) | 22.2150 | + | 16.1401i | 0.704617 | + | 0.511934i | ||||
\(995\) | −6.57539 | + | 4.77730i | −0.208454 | + | 0.151451i | ||||
\(996\) | −4.31064 | + | 8.74219i | −0.136588 | + | 0.277007i | ||||
\(997\) | −18.5014 | −0.585947 | −0.292973 | − | 0.956121i | \(-0.594645\pi\) | ||||
−0.292973 | + | 0.956121i | \(0.594645\pi\) | |||||||
\(998\) | −12.1322 | −0.384038 | ||||||||
\(999\) | 6.30330 | − | 13.6782i | 0.199428 | − | 0.432758i |
(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 | 930.2.v.a.401.2 | ✓ | 80 | |
3.2 | odd | 2 | inner | 930.2.v.a.401.15 | yes | 80 | |
31.15 | odd | 10 | inner | 930.2.v.a.821.15 | yes | 80 | |
93.77 | even | 10 | inner | 930.2.v.a.821.2 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.v.a.401.2 | ✓ | 80 | 1.1 | even | 1 | trivial | |
930.2.v.a.401.15 | yes | 80 | 3.2 | odd | 2 | inner | |
930.2.v.a.821.2 | yes | 80 | 93.77 | even | 10 | inner | |
930.2.v.a.821.15 | yes | 80 | 31.15 | odd | 10 | inner |