Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,3,Mod(3,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.l (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.48774738381\) |
Analytic rank: | \(0\) |
Dimension: | \(496\) |
Relative dimension: | \(31\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 3.20 | ||
Character | \(\chi\) | \(=\) | 128.3 |
Dual form | 128.3.l.a.43.20 |
$q$-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 \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.768183 | + | 1.84659i | 0.384091 | + | 0.923295i | ||||
\(3\) | −4.58227 | + | 3.76057i | −1.52742 | + | 1.25352i | −0.665605 | + | 0.746305i | \(0.731826\pi\) |
−0.861818 | + | 0.507218i | \(0.830674\pi\) | |||||||
\(4\) | −2.81979 | + | 2.83704i | −0.704948 | + | 0.709259i | ||||
\(5\) | 2.93176 | + | 0.889341i | 0.586353 | + | 0.177868i | 0.569502 | − | 0.821990i | \(-0.307136\pi\) |
0.0168507 | + | 0.999858i | \(0.494636\pi\) | |||||||
\(6\) | −10.4642 | − | 5.57276i | −1.74404 | − | 0.928794i | ||||
\(7\) | 1.62220 | + | 8.15533i | 0.231742 | + | 1.16505i | 0.904925 | + | 0.425571i | \(0.139927\pi\) |
−0.673183 | + | 0.739476i | \(0.735073\pi\) | |||||||
\(8\) | −7.40496 | − | 3.02764i | −0.925620 | − | 0.378454i | ||||
\(9\) | 5.09947 | − | 25.6368i | 0.566608 | − | 2.84853i | ||||
\(10\) | 0.609882 | + | 6.09694i | 0.0609882 | + | 0.609694i | ||||
\(11\) | −1.07709 | − | 10.9359i | −0.0979171 | − | 0.994169i | −0.911107 | − | 0.412170i | \(-0.864771\pi\) |
0.813190 | − | 0.581999i | \(-0.197729\pi\) | |||||||
\(12\) | 2.25216 | − | 23.6041i | 0.187680 | − | 1.96701i | ||||
\(13\) | 4.13935 | + | 13.6456i | 0.318411 | + | 1.04966i | 0.959385 | + | 0.282099i | \(0.0910306\pi\) |
−0.640974 | + | 0.767562i | \(0.721469\pi\) | |||||||
\(14\) | −13.8134 | + | 9.26032i | −0.986672 | + | 0.661451i | ||||
\(15\) | −16.7786 | + | 6.94990i | −1.11857 | + | 0.463327i | ||||
\(16\) | −0.0975588 | − | 15.9997i | −0.00609742 | − | 0.999981i | ||||
\(17\) | 1.47239 | − | 3.55466i | 0.0866110 | − | 0.209098i | −0.874639 | − | 0.484774i | \(-0.838902\pi\) |
0.961250 | + | 0.275676i | \(0.0889019\pi\) | |||||||
\(18\) | 51.2580 | − | 10.2771i | 2.84767 | − | 0.570950i | ||||
\(19\) | −11.9342 | + | 22.3273i | −0.628114 | + | 1.17512i | 0.343635 | + | 0.939103i | \(0.388342\pi\) |
−0.971749 | + | 0.236016i | \(0.924158\pi\) | |||||||
\(20\) | −10.7901 | + | 5.80977i | −0.539503 | + | 0.290488i | ||||
\(21\) | −38.1020 | − | 31.2695i | −1.81438 | − | 1.48902i | ||||
\(22\) | 19.3667 | − | 10.3897i | 0.880302 | − | 0.472258i | ||||
\(23\) | 4.91821 | − | 3.28624i | 0.213835 | − | 0.142880i | −0.444040 | − | 0.896007i | \(-0.646455\pi\) |
0.657875 | + | 0.753127i | \(0.271455\pi\) | |||||||
\(24\) | 45.3171 | − | 13.9734i | 1.88821 | − | 0.582226i | ||||
\(25\) | −12.9824 | − | 8.67458i | −0.519297 | − | 0.346983i | ||||
\(26\) | −22.0180 | + | 18.1260i | −0.846848 | + | 0.697153i | ||||
\(27\) | 47.8926 | + | 89.6007i | 1.77380 | + | 3.31854i | ||||
\(28\) | −27.7112 | − | 18.3941i | −0.989687 | − | 0.656932i | ||||
\(29\) | −4.29136 | + | 43.5709i | −0.147978 | + | 1.50244i | 0.578742 | + | 0.815510i | \(0.303544\pi\) |
−0.726720 | + | 0.686934i | \(0.758956\pi\) | |||||||
\(30\) | −25.7226 | − | 25.6443i | −0.857421 | − | 0.854810i | ||||
\(31\) | −3.65193 | − | 3.65193i | −0.117804 | − | 0.117804i | 0.645747 | − | 0.763551i | \(-0.276546\pi\) |
−0.763551 | + | 0.645747i | \(0.776546\pi\) | |||||||
\(32\) | 29.4700 | − | 12.4708i | 0.920936 | − | 0.389714i | ||||
\(33\) | 46.0606 | + | 46.0606i | 1.39577 | + | 1.39577i | ||||
\(34\) | 7.69506 | − | 0.0117301i | 0.226325 | − | 0.000345003i | ||||
\(35\) | −2.49697 | + | 25.3522i | −0.0713421 | + | 0.724348i | ||||
\(36\) | 58.3531 | + | 86.7578i | 1.62092 | + | 2.40994i | ||||
\(37\) | −2.69382 | − | 5.03978i | −0.0728058 | − | 0.136210i | 0.842885 | − | 0.538094i | \(-0.180856\pi\) |
−0.915691 | + | 0.401884i | \(0.868356\pi\) | |||||||
\(38\) | −50.3969 | − | 4.88611i | −1.32623 | − | 0.128582i | ||||
\(39\) | −70.2828 | − | 46.9615i | −1.80212 | − | 1.20414i | ||||
\(40\) | −19.0170 | − | 15.4618i | −0.475425 | − | 0.386546i | ||||
\(41\) | −9.19436 | + | 6.14347i | −0.224253 | + | 0.149841i | −0.662622 | − | 0.748954i | \(-0.730556\pi\) |
0.438369 | + | 0.898795i | \(0.355556\pi\) | |||||||
\(42\) | 28.4727 | − | 94.3795i | 0.677921 | − | 2.24713i | ||||
\(43\) | −15.0029 | − | 12.3125i | −0.348904 | − | 0.286338i | 0.443575 | − | 0.896237i | \(-0.353710\pi\) |
−0.792479 | + | 0.609899i | \(0.791210\pi\) | |||||||
\(44\) | 34.0626 | + | 27.7811i | 0.774150 | + | 0.631389i | ||||
\(45\) | 37.7503 | − | 70.6258i | 0.838896 | − | 1.56946i | ||||
\(46\) | 9.84643 | + | 6.55748i | 0.214053 | + | 0.142554i | ||||
\(47\) | 5.26886 | − | 12.7202i | 0.112104 | − | 0.270642i | −0.857864 | − | 0.513877i | \(-0.828209\pi\) |
0.969967 | + | 0.243235i | \(0.0782087\pi\) | |||||||
\(48\) | 60.6150 | + | 72.9480i | 1.26281 | + | 1.51975i | ||||
\(49\) | −18.6078 | + | 7.70761i | −0.379751 | + | 0.157298i | ||||
\(50\) | 6.04552 | − | 30.6369i | 0.120910 | − | 0.612738i | ||||
\(51\) | 6.62066 | + | 21.8254i | 0.129817 | + | 0.427949i | ||||
\(52\) | −50.3851 | − | 26.7342i | −0.968945 | − | 0.514120i | ||||
\(53\) | 5.71094 | + | 57.9841i | 0.107754 | + | 1.09404i | 0.885238 | + | 0.465138i | \(0.153995\pi\) |
−0.777484 | + | 0.628902i | \(0.783505\pi\) | |||||||
\(54\) | −128.666 | + | 157.268i | −2.38270 | + | 2.91236i | ||||
\(55\) | 6.56794 | − | 33.0193i | 0.119417 | − | 0.600350i | ||||
\(56\) | 12.6791 | − | 65.3013i | 0.226412 | − | 1.16609i | ||||
\(57\) | −29.2777 | − | 147.189i | −0.513643 | − | 2.58226i | ||||
\(58\) | −83.7541 | + | 25.5460i | −1.44404 | + | 0.440449i | ||||
\(59\) | −4.19109 | − | 1.27135i | −0.0710355 | − | 0.0215484i | 0.254567 | − | 0.967055i | \(-0.418067\pi\) |
−0.325602 | + | 0.945507i | \(0.605567\pi\) | |||||||
\(60\) | 27.5949 | − | 67.1987i | 0.459915 | − | 1.11998i | ||||
\(61\) | −3.35677 | + | 2.75483i | −0.0550290 | + | 0.0451611i | −0.661506 | − | 0.749940i | \(-0.730082\pi\) |
0.606477 | + | 0.795101i | \(0.292582\pi\) | |||||||
\(62\) | 3.93827 | − | 9.54897i | 0.0635205 | − | 0.154016i | ||||
\(63\) | 217.349 | 3.44998 | ||||||||
\(64\) | 45.6668 | + | 44.8390i | 0.713544 | + | 0.700610i | ||||
\(65\) | 43.6870i | 0.672107i | ||||||||
\(66\) | −49.6721 | + | 120.438i | −0.752607 | + | 1.82482i | ||||
\(67\) | −25.1814 | − | 30.6837i | −0.375842 | − | 0.457965i | 0.550396 | − | 0.834904i | \(-0.314477\pi\) |
−0.926238 | + | 0.376939i | \(0.876977\pi\) | |||||||
\(68\) | 5.93287 | + | 14.2006i | 0.0872481 | + | 0.208832i | ||||
\(69\) | −10.1784 | + | 33.5537i | −0.147513 | + | 0.486286i | ||||
\(70\) | −48.7332 | + | 14.8642i | −0.696189 | + | 0.212346i | ||||
\(71\) | 74.3921 | − | 14.7975i | 1.04778 | − | 0.208416i | 0.358961 | − | 0.933353i | \(-0.383131\pi\) |
0.688815 | + | 0.724937i | \(0.258131\pi\) | |||||||
\(72\) | −115.380 | + | 174.400i | −1.60250 | + | 2.42222i | ||||
\(73\) | 92.4198 | + | 18.3834i | 1.26602 | + | 0.251828i | 0.782029 | − | 0.623242i | \(-0.214185\pi\) |
0.483996 | + | 0.875070i | \(0.339185\pi\) | |||||||
\(74\) | 7.23706 | − | 8.84584i | 0.0977981 | − | 0.119538i | ||||
\(75\) | 92.1103 | − | 9.07207i | 1.22814 | − | 0.120961i | ||||
\(76\) | −29.6914 | − | 96.8159i | −0.390676 | − | 1.27389i | ||||
\(77\) | 87.4383 | − | 26.5241i | 1.13556 | − | 0.344469i | ||||
\(78\) | 32.7286 | − | 165.858i | 0.419597 | − | 2.12639i | ||||
\(79\) | 27.8922 | + | 67.3377i | 0.353065 | + | 0.852375i | 0.996238 | + | 0.0866545i | \(0.0276176\pi\) |
−0.643173 | + | 0.765721i | \(0.722382\pi\) | |||||||
\(80\) | 13.9432 | − | 46.9941i | 0.174290 | − | 0.587426i | ||||
\(81\) | −339.062 | − | 140.444i | −4.18595 | − | 1.73388i | ||||
\(82\) | −18.4074 | − | 12.2589i | −0.224481 | − | 0.149499i | ||||
\(83\) | 34.6876 | + | 18.5409i | 0.417923 | + | 0.223384i | 0.666935 | − | 0.745116i | \(-0.267606\pi\) |
−0.249012 | + | 0.968500i | \(0.580106\pi\) | |||||||
\(84\) | 196.153 | − | 19.9233i | 2.33515 | − | 0.237183i | ||||
\(85\) | 7.47799 | − | 9.11196i | 0.0879764 | − | 0.107200i | ||||
\(86\) | 11.2113 | − | 37.1625i | 0.130364 | − | 0.432122i | ||||
\(87\) | −144.187 | − | 215.791i | −1.65732 | − | 2.48036i | ||||
\(88\) | −25.1340 | + | 84.2406i | −0.285614 | + | 0.957280i | ||||
\(89\) | 18.4290 | − | 27.5809i | 0.207067 | − | 0.309898i | −0.713371 | − | 0.700787i | \(-0.752832\pi\) |
0.920438 | + | 0.390889i | \(0.127832\pi\) | |||||||
\(90\) | 159.416 | + | 15.4558i | 1.77129 | + | 0.171731i | ||||
\(91\) | −104.570 | + | 55.8936i | −1.14912 | + | 0.614215i | ||||
\(92\) | −4.54513 | + | 23.2197i | −0.0494036 | + | 0.252388i | ||||
\(93\) | 30.4675 | + | 3.00078i | 0.327607 | + | 0.0322665i | ||||
\(94\) | 27.5364 | − | 0.0419755i | 0.292940 | − | 0.000446548i | ||||
\(95\) | −54.8447 | + | 54.8447i | −0.577313 | + | 0.577313i | ||||
\(96\) | −88.1417 | + | 167.969i | −0.918143 | + | 1.74967i | ||||
\(97\) | −42.7924 | + | 42.7924i | −0.441159 | + | 0.441159i | −0.892401 | − | 0.451242i | \(-0.850981\pi\) |
0.451242 | + | 0.892401i | \(0.350981\pi\) | |||||||
\(98\) | −28.5270 | − | 28.4401i | −0.291092 | − | 0.290206i | ||||
\(99\) | −285.853 | − | 28.1541i | −2.88740 | − | 0.284384i | ||||
\(100\) | 61.2178 | − | 12.3711i | 0.612178 | − | 0.123711i | ||||
\(101\) | 115.632 | − | 61.8065i | 1.14487 | − | 0.611946i | 0.213833 | − | 0.976870i | \(-0.431405\pi\) |
0.931037 | + | 0.364925i | \(0.118905\pi\) | |||||||
\(102\) | −35.2167 | + | 28.9915i | −0.345262 | + | 0.284231i | ||||
\(103\) | −99.8514 | + | 149.438i | −0.969432 | + | 1.45086i | −0.0783965 | + | 0.996922i | \(0.524980\pi\) |
−0.891035 | + | 0.453935i | \(0.850020\pi\) | |||||||
\(104\) | 10.6622 | − | 113.578i | 0.102521 | − | 1.09209i | ||||
\(105\) | −83.8969 | − | 125.561i | −0.799018 | − | 1.19581i | ||||
\(106\) | −102.686 | + | 55.0882i | −0.968735 | + | 0.519700i | ||||
\(107\) | 5.23636 | − | 6.38052i | 0.0489379 | − | 0.0596311i | −0.747966 | − | 0.663737i | \(-0.768970\pi\) |
0.796904 | + | 0.604106i | \(0.206470\pi\) | |||||||
\(108\) | −389.248 | − | 116.782i | −3.60414 | − | 1.08132i | ||||
\(109\) | −5.33687 | − | 2.85262i | −0.0489621 | − | 0.0261708i | 0.446734 | − | 0.894667i | \(-0.352587\pi\) |
−0.495696 | + | 0.868496i | \(0.665087\pi\) | |||||||
\(110\) | 66.0184 | − | 13.2365i | 0.600167 | − | 0.120332i | ||||
\(111\) | 31.2962 | + | 12.9633i | 0.281948 | + | 0.116787i | ||||
\(112\) | 130.325 | − | 26.7503i | 1.16361 | − | 0.238842i | ||||
\(113\) | 81.9095 | + | 197.747i | 0.724863 | + | 1.74997i | 0.658996 | + | 0.752146i | \(0.270981\pi\) |
0.0658672 | + | 0.997828i | \(0.479019\pi\) | |||||||
\(114\) | 249.307 | − | 167.132i | 2.18690 | − | 1.46607i | ||||
\(115\) | 17.3416 | − | 5.26052i | 0.150797 | − | 0.0457437i | ||||
\(116\) | −111.511 | − | 135.036i | −0.961306 | − | 1.16410i | ||||
\(117\) | 370.938 | − | 36.5342i | 3.17041 | − | 0.312258i | ||||
\(118\) | −0.871855 | − | 8.71587i | −0.00738860 | − | 0.0738633i | ||||
\(119\) | 31.3779 | + | 6.24145i | 0.263680 | + | 0.0524492i | ||||
\(120\) | 145.286 | − | 0.664413i | 1.21072 | − | 0.00553677i | ||||
\(121\) | 0.242114 | − | 0.0481594i | 0.00200094 | − | 0.000398012i | ||||
\(122\) | −7.66565 | − | 4.08236i | −0.0628332 | − | 0.0334620i | ||||
\(123\) | 19.0280 | − | 62.7270i | 0.154699 | − | 0.509976i | ||||
\(124\) | 20.6583 | − | 0.0629819i | 0.166600 | − | 0.000507919i | ||||
\(125\) | −78.9363 | − | 96.1841i | −0.631490 | − | 0.769473i | ||||
\(126\) | 166.964 | + | 401.354i | 1.32511 | + | 3.18535i | ||||
\(127\) | − | 101.052i | − | 0.795681i | −0.917455 | − | 0.397841i | \(-0.869760\pi\) | ||
0.917455 | − | 0.397841i | \(-0.130240\pi\) | |||||||
\(128\) | −47.7189 | + | 118.773i | −0.372804 | + | 0.927910i | ||||
\(129\) | 115.049 | 0.891856 | ||||||||
\(130\) | −80.6719 | + | 33.5596i | −0.620553 | + | 0.258150i | ||||
\(131\) | 19.8150 | − | 16.2617i | 0.151259 | − | 0.124135i | −0.555720 | − | 0.831370i | \(-0.687557\pi\) |
0.706979 | + | 0.707234i | \(0.250057\pi\) | |||||||
\(132\) | −260.557 | + | 0.794370i | −1.97391 | + | 0.00601795i | ||||
\(133\) | −201.446 | − | 61.1079i | −1.51463 | − | 0.459458i | ||||
\(134\) | 37.3162 | − | 70.0704i | 0.278479 | − | 0.522914i | ||||
\(135\) | 60.7242 | + | 305.281i | 0.449809 | + | 2.26134i | ||||
\(136\) | −21.6652 | + | 21.8642i | −0.159303 | + | 0.160766i | ||||
\(137\) | −46.3671 | + | 233.103i | −0.338446 | + | 1.70148i | 0.318814 | + | 0.947817i | \(0.396715\pi\) |
−0.657260 | + | 0.753664i | \(0.728285\pi\) | |||||||
\(138\) | −69.7788 | + | 6.98003i | −0.505644 | + | 0.0505799i | ||||
\(139\) | −9.63742 | − | 97.8504i | −0.0693339 | − | 0.703959i | −0.965528 | − | 0.260298i | \(-0.916179\pi\) |
0.896194 | − | 0.443662i | \(-0.146321\pi\) | |||||||
\(140\) | −64.8842 | − | 78.5719i | −0.463458 | − | 0.561228i | ||||
\(141\) | 23.6917 | + | 78.1011i | 0.168026 | + | 0.553909i | ||||
\(142\) | 84.4716 | + | 126.004i | 0.594871 | + | 0.887355i | ||||
\(143\) | 144.768 | − | 59.9648i | 1.01236 | − | 0.419334i | ||||
\(144\) | −410.679 | − | 79.0890i | −2.85193 | − | 0.549229i | ||||
\(145\) | −51.3306 | + | 123.923i | −0.354004 | + | 0.854642i | ||||
\(146\) | 37.0486 | + | 184.783i | 0.253757 | + | 1.26564i | ||||
\(147\) | 56.2810 | − | 105.294i | 0.382864 | − | 0.716287i | ||||
\(148\) | 21.8940 | + | 6.56866i | 0.147933 | + | 0.0443828i | ||||
\(149\) | 102.757 | + | 84.3303i | 0.689643 | + | 0.565975i | 0.912600 | − | 0.408853i | \(-0.134071\pi\) |
−0.222958 | + | 0.974828i | \(0.571571\pi\) | |||||||
\(150\) | 87.5099 | + | 163.121i | 0.583400 | + | 1.08747i | ||||
\(151\) | 72.5244 | − | 48.4592i | 0.480294 | − | 0.320922i | −0.291746 | − | 0.956496i | \(-0.594236\pi\) |
0.772040 | + | 0.635574i | \(0.219236\pi\) | |||||||
\(152\) | 155.971 | − | 129.200i | 1.02612 | − | 0.850001i | ||||
\(153\) | −83.6216 | − | 55.8742i | −0.546546 | − | 0.365191i | ||||
\(154\) | 116.148 | + | 141.087i | 0.754206 | + | 0.916152i | ||||
\(155\) | −7.45879 | − | 13.9544i | −0.0481212 | − | 0.0900285i | ||||
\(156\) | 331.414 | − | 66.9734i | 2.12445 | − | 0.429317i | ||||
\(157\) | −2.93506 | + | 29.8001i | −0.0186946 | + | 0.189810i | −0.999996 | − | 0.00266550i | \(-0.999152\pi\) |
0.981302 | + | 0.192475i | \(0.0616515\pi\) | |||||||
\(158\) | −102.919 | + | 103.233i | −0.651385 | + | 0.653374i | ||||
\(159\) | −244.222 | − | 244.222i | −1.53599 | − | 1.53599i | ||||
\(160\) | 97.4898 | − | 10.3527i | 0.609311 | − | 0.0647046i | ||||
\(161\) | 34.7787 | + | 34.7787i | 0.216017 | + | 0.216017i | ||||
\(162\) | −1.11888 | − | 733.996i | −0.00690666 | − | 4.53084i | ||||
\(163\) | −9.49281 | + | 96.3822i | −0.0582381 | + | 0.591302i | 0.921135 | + | 0.389243i | \(0.127263\pi\) |
−0.979373 | + | 0.202059i | \(0.935237\pi\) | |||||||
\(164\) | 8.49690 | − | 43.4080i | 0.0518104 | − | 0.264683i | ||||
\(165\) | 94.0752 | + | 176.002i | 0.570152 | + | 1.06668i | ||||
\(166\) | −7.59105 | + | 78.2966i | −0.0457292 | + | 0.471666i | ||||
\(167\) | 35.1388 | + | 23.4790i | 0.210412 | + | 0.140593i | 0.656311 | − | 0.754491i | \(-0.272116\pi\) |
−0.445899 | + | 0.895083i | \(0.647116\pi\) | |||||||
\(168\) | 187.471 | + | 346.909i | 1.11590 | + | 2.06493i | ||||
\(169\) | −28.5497 | + | 19.0763i | −0.168933 | + | 0.112878i | ||||
\(170\) | 22.5705 | + | 6.80914i | 0.132768 | + | 0.0400538i | ||||
\(171\) | 511.541 | + | 419.811i | 2.99147 | + | 2.45504i | ||||
\(172\) | 77.2361 | − | 7.84492i | 0.449047 | − | 0.0456100i | ||||
\(173\) | 96.5119 | − | 180.561i | 0.557872 | − | 1.04371i | −0.432017 | − | 0.901865i | \(-0.642198\pi\) |
0.989890 | − | 0.141840i | \(-0.0453019\pi\) | |||||||
\(174\) | 287.716 | − | 432.022i | 1.65354 | − | 2.48288i | ||||
\(175\) | 49.6840 | − | 119.948i | 0.283909 | − | 0.685416i | ||||
\(176\) | −174.865 | + | 18.3000i | −0.993554 | + | 0.103977i | ||||
\(177\) | 23.9857 | − | 9.93521i | 0.135513 | − | 0.0561312i | ||||
\(178\) | 65.0874 | + | 12.8436i | 0.365659 | + | 0.0721549i | ||||
\(179\) | −35.7571 | − | 117.875i | −0.199760 | − | 0.658521i | −0.998391 | − | 0.0567003i | \(-0.981942\pi\) |
0.798631 | − | 0.601821i | \(-0.205558\pi\) | |||||||
\(180\) | 93.9202 | + | 306.249i | 0.521779 | + | 1.70138i | ||||
\(181\) | 22.4126 | + | 227.559i | 0.123827 | + | 1.25723i | 0.833428 | + | 0.552628i | \(0.186375\pi\) |
−0.709601 | + | 0.704603i | \(0.751125\pi\) | |||||||
\(182\) | −183.541 | − | 150.161i | −1.00847 | − | 0.825058i | ||||
\(183\) | 5.02188 | − | 25.2467i | 0.0274420 | − | 0.137960i | ||||
\(184\) | −46.3687 | + | 9.44395i | −0.252004 | + | 0.0513258i | ||||
\(185\) | −3.41555 | − | 17.1712i | −0.0184625 | − | 0.0928170i | ||||
\(186\) | 17.8634 | + | 58.5661i | 0.0960396 | + | 0.314871i | ||||
\(187\) | −40.4591 | − | 12.2731i | −0.216359 | − | 0.0656318i | ||||
\(188\) | 21.2305 | + | 50.8162i | 0.112928 | + | 0.270299i | ||||
\(189\) | −653.032 | + | 535.930i | −3.45520 | + | 2.83561i | ||||
\(190\) | −143.406 | − | 59.1450i | −0.754771 | − | 0.311289i | ||||
\(191\) | −63.5300 | −0.332618 | −0.166309 | − | 0.986074i | \(-0.553185\pi\) | ||||
−0.166309 | + | 0.986074i | \(0.553185\pi\) | |||||||
\(192\) | −377.878 | − | 33.7311i | −1.96811 | − | 0.175683i | ||||
\(193\) | − | 144.477i | − | 0.748583i | −0.927311 | − | 0.374292i | \(-0.877886\pi\) | ||
0.927311 | − | 0.374292i | \(-0.122114\pi\) | |||||||
\(194\) | −111.892 | − | 46.1477i | −0.576765 | − | 0.237875i | ||||
\(195\) | −164.288 | − | 200.185i | −0.842502 | − | 1.02659i | ||||
\(196\) | 30.6034 | − | 74.5249i | 0.156140 | − | 0.380229i | ||||
\(197\) | 99.4172 | − | 327.734i | 0.504656 | − | 1.66363i | −0.220770 | − | 0.975326i | \(-0.570857\pi\) |
0.725425 | − | 0.688301i | \(-0.241643\pi\) | |||||||
\(198\) | −167.598 | − | 549.481i | −0.846456 | − | 2.77515i | ||||
\(199\) | 199.067 | − | 39.5968i | 1.00033 | − | 0.198979i | 0.332352 | − | 0.943156i | \(-0.392158\pi\) |
0.667983 | + | 0.744177i | \(0.267158\pi\) | |||||||
\(200\) | 69.8709 | + | 103.541i | 0.349354 | + | 0.517705i | ||||
\(201\) | 230.776 | + | 45.9042i | 1.14814 | + | 0.228379i | ||||
\(202\) | 202.958 | + | 166.046i | 1.00474 | + | 0.822010i | ||||
\(203\) | −362.296 | + | 35.6831i | −1.78471 | + | 0.175779i | ||||
\(204\) | −80.5884 | − | 42.7600i | −0.395041 | − | 0.209608i | ||||
\(205\) | −32.4193 | + | 9.83429i | −0.158143 | + | 0.0479722i | ||||
\(206\) | −352.655 | − | 69.5888i | −1.71192 | − | 0.337810i | ||||
\(207\) | −59.1684 | − | 142.845i | −0.285838 | − | 0.690073i | ||||
\(208\) | 217.922 | − | 67.5596i | 1.04770 | − | 0.324806i | ||||
\(209\) | 257.022 | + | 106.462i | 1.22977 | + | 0.509387i | ||||
\(210\) | 167.411 | − | 251.377i | 0.797194 | − | 1.19703i | ||||
\(211\) | −164.628 | − | 87.9956i | −0.780228 | − | 0.417041i | 0.0326555 | − | 0.999467i | \(-0.489604\pi\) |
−0.812884 | + | 0.582426i | \(0.802104\pi\) | |||||||
\(212\) | −180.607 | − | 147.301i | −0.851919 | − | 0.694816i | ||||
\(213\) | −285.237 | + | 347.563i | −1.33914 | + | 1.63175i | ||||
\(214\) | 15.8047 | + | 4.76800i | 0.0738537 | + | 0.0222804i | ||||
\(215\) | −33.0349 | − | 49.4402i | −0.153651 | − | 0.229954i | ||||
\(216\) | −83.3643 | − | 808.491i | −0.385946 | − | 3.74301i | ||||
\(217\) | 23.8586 | − | 35.7069i | 0.109947 | − | 0.164548i | ||||
\(218\) | 1.16792 | − | 12.0463i | 0.00535744 | − | 0.0552584i | ||||
\(219\) | −492.624 | + | 263.313i | −2.24943 | + | 1.20234i | ||||
\(220\) | 75.1566 | + | 111.741i | 0.341621 | + | 0.507913i | ||||
\(221\) | 54.6001 | + | 5.37764i | 0.247059 | + | 0.0243332i | ||||
\(222\) | 0.103275 | + | 67.7495i | 0.000465203 | + | 0.305178i | ||||
\(223\) | 309.448 | − | 309.448i | 1.38766 | − | 1.38766i | 0.557450 | − | 0.830210i | \(-0.311780\pi\) |
0.830210 | − | 0.557450i | \(-0.188220\pi\) | |||||||
\(224\) | 149.510 | + | 220.107i | 0.667455 | + | 0.982621i | ||||
\(225\) | −288.592 | + | 288.592i | −1.28263 | + | 1.28263i | ||||
\(226\) | −302.236 | + | 303.159i | −1.33733 | + | 1.34141i | ||||
\(227\) | 129.968 | + | 12.8008i | 0.572548 | + | 0.0563911i | 0.380148 | − | 0.924926i | \(-0.375873\pi\) |
0.192400 | + | 0.981317i | \(0.438373\pi\) | |||||||
\(228\) | 500.137 | + | 331.980i | 2.19358 | + | 1.45605i | ||||
\(229\) | −291.392 | + | 155.752i | −1.27245 | + | 0.680141i | −0.962673 | − | 0.270667i | \(-0.912756\pi\) |
−0.309781 | + | 0.950808i | \(0.600256\pi\) | |||||||
\(230\) | 23.0356 | + | 27.9818i | 0.100155 | + | 0.121660i | ||||
\(231\) | −300.920 | + | 450.358i | −1.30268 | + | 1.94960i | ||||
\(232\) | 163.694 | − | 309.648i | 0.705578 | − | 1.33469i | ||||
\(233\) | −64.0464 | − | 95.8523i | −0.274877 | − | 0.411383i | 0.668187 | − | 0.743993i | \(-0.267071\pi\) |
−0.943064 | + | 0.332610i | \(0.892071\pi\) | |||||||
\(234\) | 352.412 | + | 656.905i | 1.50603 | + | 2.80729i | ||||
\(235\) | 26.7596 | − | 32.6067i | 0.113871 | − | 0.138752i | ||||
\(236\) | 15.4249 | − | 8.30534i | 0.0653597 | − | 0.0351921i | ||||
\(237\) | −381.037 | − | 203.669i | −1.60775 | − | 0.859361i | ||||
\(238\) | 12.5786 | + | 62.7367i | 0.0528511 | + | 0.263600i | ||||
\(239\) | −96.4957 | − | 39.9698i | −0.403748 | − | 0.167238i | 0.171562 | − | 0.985173i | \(-0.445119\pi\) |
−0.575310 | + | 0.817935i | \(0.695119\pi\) | |||||||
\(240\) | 112.833 | + | 267.774i | 0.470139 | + | 1.11572i | ||||
\(241\) | −104.960 | − | 253.396i | −0.435519 | − | 1.05144i | −0.977479 | − | 0.211032i | \(-0.932317\pi\) |
0.541960 | − | 0.840405i | \(-0.317683\pi\) | |||||||
\(242\) | 0.274918 | + | 0.410089i | 0.00113603 | + | 0.00169458i | ||||
\(243\) | 1206.82 | − | 366.085i | 4.96634 | − | 1.50652i | ||||
\(244\) | 1.64983 | − | 17.2913i | 0.00676162 | − | 0.0708661i | ||||
\(245\) | −61.4084 | + | 6.04820i | −0.250647 | + | 0.0246865i | ||||
\(246\) | 130.448 | − | 13.0488i | 0.530277 | − | 0.0530440i | ||||
\(247\) | −354.068 | − | 70.4286i | −1.43348 | − | 0.285136i | ||||
\(248\) | 15.9857 | + | 38.0991i | 0.0644584 | + | 0.153625i | ||||
\(249\) | −228.672 | + | 45.4857i | −0.918362 | + | 0.182674i | ||||
\(250\) | 116.975 | − | 219.650i | 0.467901 | − | 0.878600i | ||||
\(251\) | −19.1516 | + | 63.1343i | −0.0763012 | + | 0.251531i | −0.986791 | − | 0.162001i | \(-0.948205\pi\) |
0.910489 | + | 0.413532i | \(0.135705\pi\) | |||||||
\(252\) | −612.878 | + | 616.627i | −2.43206 | + | 2.44693i | ||||
\(253\) | −41.2352 | − | 50.2453i | −0.162985 | − | 0.198598i | ||||
\(254\) | 186.601 | − | 77.6260i | 0.734649 | − | 0.305614i | ||||
\(255\) | 69.8750i | 0.274019i | ||||||||
\(256\) | −255.981 | + | 3.12182i | −0.999926 | + | 0.0121946i | ||||
\(257\) | 162.157 | 0.630961 | 0.315480 | − | 0.948932i | \(-0.397834\pi\) | ||||
0.315480 | + | 0.948932i | \(0.397834\pi\) | |||||||
\(258\) | 88.3789 | + | 212.449i | 0.342554 | + | 0.823446i | ||||
\(259\) | 36.7311 | − | 30.1445i | 0.141819 | − | 0.116388i | ||||
\(260\) | −123.942 | − | 123.188i | −0.476698 | − | 0.473800i | ||||
\(261\) | 1095.13 | + | 332.205i | 4.19592 | + | 1.27282i | ||||
\(262\) | 45.2503 | + | 24.0982i | 0.172711 | + | 0.0919778i | ||||
\(263\) | −69.5950 | − | 349.878i | −0.264620 | − | 1.33033i | −0.853068 | − | 0.521799i | \(-0.825261\pi\) |
0.588448 | − | 0.808535i | \(-0.299739\pi\) | |||||||
\(264\) | −201.622 | − | 480.531i | −0.763720 | − | 1.82019i | ||||
\(265\) | −34.8245 | + | 175.075i | −0.131413 | + | 0.660660i | ||||
\(266\) | −41.9059 | − | 418.930i | −0.157541 | − | 1.57492i | ||||
\(267\) | 19.2734 | + | 195.686i | 0.0721851 | + | 0.732908i | ||||
\(268\) | 158.057 | + | 15.0809i | 0.589765 | + | 0.0562718i | ||||
\(269\) | −108.254 | − | 356.867i | −0.402433 | − | 1.32664i | −0.890955 | − | 0.454091i | \(-0.849964\pi\) |
0.488523 | − | 0.872551i | \(-0.337536\pi\) | |||||||
\(270\) | −517.082 | + | 346.644i | −1.91512 | + | 1.28387i | ||||
\(271\) | 85.4298 | − | 35.3862i | 0.315239 | − | 0.130576i | −0.219453 | − | 0.975623i | \(-0.570427\pi\) |
0.534693 | + | 0.845047i | \(0.320427\pi\) | |||||||
\(272\) | −57.0171 | − | 23.2110i | −0.209622 | − | 0.0853345i | ||||
\(273\) | 268.974 | − | 649.360i | 0.985252 | − | 2.37861i | ||||
\(274\) | −466.064 | + | 93.4447i | −1.70096 | + | 0.341039i | ||||
\(275\) | −80.8808 | + | 151.317i | −0.294112 | + | 0.550245i | ||||
\(276\) | −66.4921 | − | 123.491i | −0.240914 | − | 0.447431i | ||||
\(277\) | −234.433 | − | 192.395i | −0.846330 | − | 0.694565i | 0.107730 | − | 0.994180i | \(-0.465642\pi\) |
−0.954060 | + | 0.299615i | \(0.903142\pi\) | |||||||
\(278\) | 173.286 | − | 92.9633i | 0.623332 | − | 0.334400i | ||||
\(279\) | −112.247 | + | 75.0009i | −0.402318 | + | 0.268820i | ||||
\(280\) | 95.2472 | − | 180.172i | 0.340169 | − | 0.643472i | ||||
\(281\) | 300.196 | + | 200.585i | 1.06831 | + | 0.713825i | 0.959917 | − | 0.280283i | \(-0.0904283\pi\) |
0.108397 | + | 0.994108i | \(0.465428\pi\) | |||||||
\(282\) | −126.021 | + | 103.745i | −0.446884 | + | 0.367889i | ||||
\(283\) | −109.522 | − | 204.902i | −0.387005 | − | 0.724035i | 0.610692 | − | 0.791868i | \(-0.290891\pi\) |
−0.997697 | + | 0.0678332i | \(0.978391\pi\) | |||||||
\(284\) | −167.789 | + | 252.779i | −0.590806 | + | 0.890067i | ||||
\(285\) | 45.0658 | − | 457.560i | 0.158126 | − | 1.60548i | ||||
\(286\) | 221.939 | + | 221.263i | 0.776009 | + | 0.773647i | ||||
\(287\) | −65.0171 | − | 65.0171i | −0.226540 | − | 0.226540i | ||||
\(288\) | −169.431 | − | 819.110i | −0.588303 | − | 2.84413i | ||||
\(289\) | 193.886 | + | 193.886i | 0.670886 | + | 0.670886i | ||||
\(290\) | −268.266 | + | 0.408936i | −0.925057 | + | 0.00141013i | ||||
\(291\) | 35.1624 | − | 357.010i | 0.120833 | − | 1.22684i | ||||
\(292\) | −312.759 | + | 210.361i | −1.07109 | + | 0.720414i | ||||
\(293\) | 115.984 | + | 216.991i | 0.395850 | + | 0.740584i | 0.998343 | − | 0.0575403i | \(-0.0183258\pi\) |
−0.602493 | + | 0.798124i | \(0.705826\pi\) | |||||||
\(294\) | 237.669 | + | 23.0426i | 0.808399 | + | 0.0783763i | ||||
\(295\) | −11.1566 | − | 7.45462i | −0.0378191 | − | 0.0252699i | ||||
\(296\) | 4.68899 | + | 45.4752i | 0.0158412 | + | 0.153633i | ||||
\(297\) | 928.276 | − | 620.254i | 3.12551 | − | 2.08840i | ||||
\(298\) | −76.7875 | + | 254.531i | −0.257676 | + | 0.854130i | ||||
\(299\) | 65.2009 | + | 53.5090i | 0.218063 | + | 0.178960i | ||||
\(300\) | −233.994 | + | 286.902i | −0.779980 | + | 0.956339i | ||||
\(301\) | 76.0753 | − | 142.327i | 0.252742 | − | 0.472847i | ||||
\(302\) | 145.196 | + | 96.6973i | 0.480782 | + | 0.320190i | ||||
\(303\) | −297.428 | + | 718.055i | −0.981611 | + | 2.36982i | ||||
\(304\) | 358.394 | + | 188.765i | 1.17893 | + | 0.620937i | ||||
\(305\) | −12.2912 | + | 5.09120i | −0.0402991 | + | 0.0166924i | ||||
\(306\) | 38.9400 | − | 197.336i | 0.127255 | − | 0.644890i | ||||
\(307\) | 141.162 | + | 465.349i | 0.459811 | + | 1.51580i | 0.814137 | + | 0.580673i | \(0.197211\pi\) |
−0.354325 | + | 0.935122i | \(0.615289\pi\) | |||||||
\(308\) | −171.308 | + | 322.858i | −0.556194 | + | 1.04824i | ||||
\(309\) | −104.427 | − | 1060.26i | −0.337951 | − | 3.43128i | ||||
\(310\) | 20.0384 | − | 24.4929i | 0.0646399 | − | 0.0790092i | ||||
\(311\) | −56.8589 | + | 285.849i | −0.182826 | + | 0.919129i | 0.775040 | + | 0.631913i | \(0.217730\pi\) |
−0.957866 | + | 0.287216i | \(0.907270\pi\) | |||||||
\(312\) | 378.259 | + | 560.538i | 1.21237 | + | 1.79660i | ||||
\(313\) | 5.75880 | + | 28.9514i | 0.0183987 | + | 0.0924966i | 0.988894 | − | 0.148625i | \(-0.0474847\pi\) |
−0.970495 | + | 0.241122i | \(0.922485\pi\) | |||||||
\(314\) | −57.2833 | + | 17.4721i | −0.182431 | + | 0.0556436i | ||||
\(315\) | 637.216 | + | 193.297i | 2.02291 | + | 0.613642i | ||||
\(316\) | −269.690 | − | 110.747i | −0.853448 | − | 0.350465i | ||||
\(317\) | −175.313 | + | 143.876i | −0.553038 | + | 0.453867i | −0.868935 | − | 0.494927i | \(-0.835195\pi\) |
0.315896 | + | 0.948794i | \(0.397695\pi\) | |||||||
\(318\) | 263.371 | − | 638.586i | 0.828212 | − | 2.00813i | ||||
\(319\) | 481.107 | 1.50817 | ||||||||
\(320\) | 94.0072 | + | 172.071i | 0.293773 | + | 0.537721i | ||||
\(321\) | 48.9289i | 0.152427i | ||||||||
\(322\) | −37.5056 | + | 90.9384i | −0.116477 | + | 0.282417i | ||||
\(323\) | 61.7940 | + | 75.2963i | 0.191313 | + | 0.233115i | ||||
\(324\) | 1354.53 | − | 565.909i | 4.18065 | − | 1.74663i | ||||
\(325\) | 64.6311 | − | 213.060i | 0.198865 | − | 0.655569i | ||||
\(326\) | −185.271 | + | 56.5098i | −0.568315 | + | 0.173343i | ||||
\(327\) | 35.1824 | − | 6.99822i | 0.107591 | − | 0.0214013i | ||||
\(328\) | 86.6840 | − | 17.6550i | 0.264281 | − | 0.0538262i | ||||
\(329\) | 112.284 | + | 22.3347i | 0.341290 | + | 0.0678867i | ||||
\(330\) | −252.737 | + | 308.920i | −0.765870 | + | 0.936122i | ||||
\(331\) | −272.179 | + | 26.8073i | −0.822293 | + | 0.0809888i | −0.500408 | − | 0.865790i | \(-0.666817\pi\) |
−0.321885 | + | 0.946779i | \(0.604317\pi\) | |||||||
\(332\) | −150.413 | + | 46.1285i | −0.453051 | + | 0.138941i | ||||
\(333\) | −142.941 | + | 43.3606i | −0.429251 | + | 0.130212i | ||||
\(334\) | −16.3630 | + | 82.9230i | −0.0489912 | + | 0.248273i | ||||
\(335\) | −46.5378 | − | 112.352i | −0.138919 | − | 0.335379i | ||||
\(336\) | −496.586 | + | 612.672i | −1.47793 | + | 1.82343i | ||||
\(337\) | −374.513 | − | 155.128i | −1.11131 | − | 0.460321i | −0.249924 | − | 0.968265i | \(-0.580406\pi\) |
−0.861390 | + | 0.507944i | \(0.830406\pi\) | |||||||
\(338\) | −57.1575 | − | 38.0655i | −0.169105 | − | 0.112620i | ||||
\(339\) | −1118.97 | − | 598.104i | −3.30081 | − | 1.76432i | ||||
\(340\) | 4.76460 | + | 46.9092i | 0.0140135 | + | 0.137968i | ||||
\(341\) | −36.0036 | + | 43.8705i | −0.105582 | + | 0.128652i | ||||
\(342\) | −382.262 | + | 1267.10i | −1.11772 | + | 3.70497i | ||||
\(343\) | 133.318 | + | 199.524i | 0.388682 | + | 0.581704i | ||||
\(344\) | 73.8178 | + | 136.597i | 0.214587 | + | 0.397085i | ||||
\(345\) | −59.6814 | + | 89.3195i | −0.172989 | + | 0.258897i | ||||
\(346\) | 407.561 | + | 39.5141i | 1.17792 | + | 0.114202i | ||||
\(347\) | 476.707 | − | 254.805i | 1.37380 | − | 0.734309i | 0.391242 | − | 0.920288i | \(-0.372046\pi\) |
0.982554 | + | 0.185979i | \(0.0595456\pi\) | |||||||
\(348\) | 1018.79 | + | 199.422i | 2.92754 | + | 0.573052i | ||||
\(349\) | −133.647 | − | 13.1631i | −0.382943 | − | 0.0377166i | −0.0952857 | − | 0.995450i | \(-0.530376\pi\) |
−0.287658 | + | 0.957733i | \(0.592876\pi\) | |||||||
\(350\) | 259.661 | − | 0.395819i | 0.741888 | − | 0.00113091i | ||||
\(351\) | −1024.41 | + | 1024.41i | −2.91855 | + | 2.91855i | ||||
\(352\) | −168.121 | − | 308.847i | −0.477617 | − | 0.877406i | ||||
\(353\) | −220.424 | + | 220.424i | −0.624430 | + | 0.624430i | −0.946661 | − | 0.322231i | \(-0.895567\pi\) |
0.322231 | + | 0.946661i | \(0.395567\pi\) | |||||||
\(354\) | 36.7717 | + | 36.6598i | 0.103875 | + | 0.103559i | ||||
\(355\) | 231.260 | + | 22.7771i | 0.651437 | + | 0.0641609i | ||||
\(356\) | 26.2822 | + | 130.056i | 0.0738264 | + | 0.365326i | ||||
\(357\) | −167.253 | + | 89.3988i | −0.468497 | + | 0.250417i | ||||
\(358\) | 190.199 | − | 156.578i | 0.531283 | − | 0.437370i | ||||
\(359\) | −121.402 | + | 181.692i | −0.338168 | + | 0.506105i | −0.961111 | − | 0.276163i | \(-0.910937\pi\) |
0.622943 | + | 0.782268i | \(0.285937\pi\) | |||||||
\(360\) | −493.369 | + | 408.687i | −1.37047 | + | 1.13524i | ||||
\(361\) | −155.521 | − | 232.754i | −0.430807 | − | 0.644748i | ||||
\(362\) | −402.991 | + | 216.194i | −1.11324 | + | 0.597220i | ||||
\(363\) | −0.928323 | + | 1.13116i | −0.00255736 | + | 0.00311616i | ||||
\(364\) | 136.292 | − | 454.276i | 0.374429 | − | 1.24801i | ||||
\(365\) | 254.604 | + | 136.089i | 0.697545 | + | 0.372845i | ||||
\(366\) | 50.4781 | − | 10.1207i | 0.137918 | − | 0.0276523i | ||||
\(367\) | 617.439 | + | 255.751i | 1.68239 | + | 0.696871i | 0.999436 | − | 0.0335866i | \(-0.0106930\pi\) |
0.682959 | + | 0.730457i | \(0.260693\pi\) | |||||||
\(368\) | −53.0587 | − | 78.3693i | −0.144181 | − | 0.212960i | ||||
\(369\) | 110.613 | + | 267.042i | 0.299763 | + | 0.723692i | ||||
\(370\) | 29.0843 | − | 19.4977i | 0.0786063 | − | 0.0526965i | ||||
\(371\) | −463.616 | + | 140.636i | −1.24964 | + | 0.379073i | ||||
\(372\) | −94.4252 | + | 77.9757i | −0.253831 | + | 0.209612i | ||||
\(373\) | −194.744 | + | 19.1806i | −0.522101 | + | 0.0514224i | −0.355635 | − | 0.934625i | \(-0.615735\pi\) |
−0.166465 | + | 0.986047i | \(0.553235\pi\) | |||||||
\(374\) | −8.41653 | − | 84.1394i | −0.0225041 | − | 0.224972i | ||||
\(375\) | 723.414 | + | 143.896i | 1.92910 | + | 0.383723i | ||||
\(376\) | −77.5278 | + | 78.2401i | −0.206191 | + | 0.208085i | ||||
\(377\) | −612.314 | + | 121.797i | −1.62418 | + | 0.323069i | ||||
\(378\) | −1491.29 | − | 794.191i | −3.94521 | − | 2.10103i | ||||
\(379\) | 126.690 | − | 417.641i | 0.334274 | − | 1.10196i | −0.615268 | − | 0.788318i | \(-0.710952\pi\) |
0.949543 | − | 0.313638i | \(-0.101548\pi\) | |||||||
\(380\) | −0.945863 | − | 310.247i | −0.00248911 | − | 0.816440i | ||||
\(381\) | 380.011 | + | 463.045i | 0.997405 | + | 1.21534i | ||||
\(382\) | −48.8027 | − | 117.314i | −0.127756 | − | 0.307104i | ||||
\(383\) | 149.688i | 0.390830i | 0.980721 | + | 0.195415i | \(0.0626053\pi\) | ||||
−0.980721 | + | 0.195415i | \(0.937395\pi\) | |||||||
\(384\) | −227.992 | − | 723.697i | −0.593729 | − | 1.88463i | ||||
\(385\) | 279.937 | 0.727110 | ||||||||
\(386\) | 266.789 | − | 110.984i | 0.691163 | − | 0.287524i | ||||
\(387\) | −392.161 | + | 321.838i | −1.01334 | + | 0.831623i | ||||
\(388\) | −0.738007 | − | 242.069i | −0.00190208 | − | 0.623890i | ||||
\(389\) | 123.991 | + | 37.6122i | 0.318742 | + | 0.0966894i | 0.445602 | − | 0.895231i | \(-0.352990\pi\) |
−0.126860 | + | 0.991921i | \(0.540490\pi\) | |||||||
\(390\) | 243.457 | − | 457.151i | 0.624249 | − | 1.17218i | ||||
\(391\) | −4.43996 | − | 22.3212i | −0.0113554 | − | 0.0570874i | ||||
\(392\) | 161.126 | − | 0.736849i | 0.411035 | − | 0.00187972i | ||||
\(393\) | −29.6442 | + | 149.031i | −0.0754304 | + | 0.379214i | ||||
\(394\) | 681.562 | − | 68.1772i | 1.72985 | − | 0.173039i | ||||
\(395\) | 21.8871 | + | 222.224i | 0.0554105 | + | 0.562592i | ||||
\(396\) | 885.920 | − | 731.587i | 2.23717 | − | 1.84744i | ||||
\(397\) | −137.837 | − | 454.388i | −0.347197 | − | 1.14455i | −0.940562 | − | 0.339621i | \(-0.889701\pi\) |
0.593365 | − | 0.804933i | \(-0.297799\pi\) | |||||||
\(398\) | 226.039 | + | 337.177i | 0.567936 | + | 0.847178i | ||||
\(399\) | 1152.88 | − | 477.538i | 2.88942 | − | 1.19684i | ||||
\(400\) | −137.524 | + | 208.561i | −0.343810 | + | 0.521403i | ||||
\(401\) | 84.1204 | − | 203.085i | 0.209777 | − | 0.506446i | −0.783611 | − | 0.621251i | \(-0.786625\pi\) |
0.993388 | + | 0.114806i | \(0.0366246\pi\) | |||||||
\(402\) | 92.5119 | + | 461.411i | 0.230129 | + | 1.14779i | ||||
\(403\) | 34.7162 | − | 64.9494i | 0.0861443 | − | 0.161165i | ||||
\(404\) | −150.710 | + | 502.333i | −0.373045 | + | 1.24340i | ||||
\(405\) | −869.148 | − | 713.291i | −2.14604 | − | 1.76121i | ||||
\(406\) | −344.202 | − | 641.602i | −0.847788 | − | 1.58030i | ||||
\(407\) | −52.2128 | + | 34.8875i | −0.128287 | + | 0.0857186i | ||||
\(408\) | 17.0536 | − | 181.661i | 0.0417981 | − | 0.445248i | ||||
\(409\) | −493.959 | − | 330.053i | −1.20772 | − | 0.806975i | −0.221951 | − | 0.975058i | \(-0.571242\pi\) |
−0.985773 | + | 0.168083i | \(0.946242\pi\) | |||||||
\(410\) | −43.0639 | − | 52.3107i | −0.105034 | − | 0.127587i | ||||
\(411\) | −664.133 | − | 1242.51i | −1.61590 | − | 3.02313i | ||||
\(412\) | −142.402 | − | 704.667i | −0.345635 | − | 1.71036i | ||||
\(413\) | 3.56954 | − | 36.2421i | 0.00864295 | − | 0.0877534i | ||||
\(414\) | 218.324 | − | 218.991i | 0.527354 | − | 0.528964i | ||||
\(415\) | 85.2067 | + | 85.2067i | 0.205317 | + | 0.205317i | ||||
\(416\) | 292.158 | + | 350.514i | 0.702304 | + | 0.842581i | ||||
\(417\) | 412.134 | + | 412.134i | 0.988331 | + | 0.988331i | ||||
\(418\) | 0.848152 | + | 556.396i | 0.00202907 | + | 1.33109i | ||||
\(419\) | −65.4068 | + | 664.087i | −0.156102 | + | 1.58493i | 0.523937 | + | 0.851757i | \(0.324463\pi\) |
−0.680039 | + | 0.733176i | \(0.738037\pi\) | |||||||
\(420\) | 592.792 | + | 116.036i | 1.41141 | + | 0.276276i | ||||
\(421\) | −66.9770 | − | 125.305i | −0.159090 | − | 0.297637i | 0.789729 | − | 0.613455i | \(-0.210221\pi\) |
−0.948820 | + | 0.315818i | \(0.897721\pi\) | |||||||
\(422\) | 36.0273 | − | 371.597i | 0.0853727 | − | 0.880563i | ||||
\(423\) | −299.236 | − | 199.943i | −0.707413 | − | 0.472678i | ||||
\(424\) | 133.266 | − | 446.661i | 0.314306 | − | 1.05345i | ||||
\(425\) | −49.9503 | + | 33.3757i | −0.117530 | + | 0.0785312i | ||||
\(426\) | −860.920 | − | 259.725i | −2.02094 | − | 0.609683i | ||||
\(427\) | −27.9119 | − | 22.9067i | −0.0653674 | − | 0.0536456i | ||||
\(428\) | 3.33634 | + | 32.8475i | 0.00779519 | + | 0.0767465i | ||||
\(429\) | −437.863 | + | 819.184i | −1.02066 | + | 1.90952i | ||||
\(430\) | 65.9189 | − | 98.9809i | 0.153300 | − | 0.230188i | ||||
\(431\) | 181.772 | − | 438.835i | 0.421744 | − | 1.01818i | −0.560089 | − | 0.828432i | \(-0.689233\pi\) |
0.981833 | − | 0.189747i | \(-0.0607669\pi\) | |||||||
\(432\) | 1428.91 | − | 775.008i | 3.30767 | − | 1.79400i | ||||
\(433\) | 110.851 | − | 45.9162i | 0.256008 | − | 0.106042i | −0.250989 | − | 0.967990i | \(-0.580756\pi\) |
0.506997 | + | 0.861948i | \(0.330756\pi\) | |||||||
\(434\) | 84.2637 | + | 16.6276i | 0.194156 | + | 0.0383124i | ||||
\(435\) | −230.811 | − | 760.881i | −0.530599 | − | 1.74915i | ||||
\(436\) | 23.1418 | − | 7.09711i | 0.0530776 | − | 0.0162778i | ||||
\(437\) | 14.6780 | + | 149.029i | 0.0335882 | + | 0.341027i | ||||
\(438\) | −864.657 | − | 707.402i | −1.97410 | − | 1.61507i | ||||
\(439\) | −66.4940 | + | 334.288i | −0.151467 | + | 0.761476i | 0.828135 | + | 0.560529i | \(0.189402\pi\) |
−0.979602 | + | 0.200947i | \(0.935598\pi\) | |||||||
\(440\) | −148.606 | + | 224.621i | −0.337740 | + | 0.510502i | ||||
\(441\) | 102.708 | + | 516.349i | 0.232899 | + | 1.17086i | ||||
\(442\) | 32.0126 | + | 104.955i | 0.0724266 | + | 0.237455i | ||||
\(443\) | 145.126 | + | 44.0236i | 0.327599 | + | 0.0993760i | 0.449800 | − | 0.893129i | \(-0.351495\pi\) |
−0.122201 | + | 0.992505i | \(0.538995\pi\) | |||||||
\(444\) | −125.026 | + | 52.2347i | −0.281590 | + | 0.117646i | ||||
\(445\) | 78.5582 | − | 64.4710i | 0.176535 | − | 0.144879i | ||||
\(446\) | 809.137 | + | 333.711i | 1.81421 | + | 0.748232i | ||||
\(447\) | −787.989 | −1.76284 | ||||||||
\(448\) | −291.597 | + | 445.166i | −0.650885 | + | 0.993674i | ||||
\(449\) | 260.786i | 0.580816i | 0.956903 | + | 0.290408i | \(0.0937910\pi\) | ||||
−0.956903 | + | 0.290408i | \(0.906209\pi\) | |||||||
\(450\) | −754.602 | − | 311.220i | −1.67689 | − | 0.691599i | ||||
\(451\) | 77.0873 | + | 93.9311i | 0.170925 | + | 0.208273i | ||||
\(452\) | −791.984 | − | 325.225i | −1.75218 | − | 0.719525i | ||||
\(453\) | −150.092 | + | 494.786i | −0.331328 | + | 1.09224i | ||||
\(454\) | 76.2017 | + | 249.832i | 0.167845 | + | 0.550290i | ||||
\(455\) | −356.282 | + | 70.8688i | −0.783036 | + | 0.155756i | ||||
\(456\) | −228.834 | + | 1178.57i | −0.501829 | + | 2.58458i | ||||
\(457\) | 155.327 | + | 30.8965i | 0.339884 | + | 0.0676072i | 0.362082 | − | 0.932146i | \(-0.382066\pi\) |
−0.0221973 | + | 0.999754i | \(0.507066\pi\) | |||||||
\(458\) | −511.453 | − | 418.435i | −1.11671 | − | 0.913614i | ||||
\(459\) | 389.016 | − | 38.3148i | 0.847530 | − | 0.0834744i | ||||
\(460\) | −33.9754 | + | 64.0324i | −0.0738597 | + | 0.139201i | ||||
\(461\) | 485.393 | − | 147.242i | 1.05291 | − | 0.319398i | 0.284049 | − | 0.958810i | \(-0.408322\pi\) |
0.768864 | + | 0.639412i | \(0.220822\pi\) | |||||||
\(462\) | −1062.79 | − | 209.718i | −2.30041 | − | 0.453935i | ||||
\(463\) | 197.684 | + | 477.250i | 0.426962 | + | 1.03078i | 0.980245 | + | 0.197785i | \(0.0633748\pi\) |
−0.553283 | + | 0.832993i | \(0.686625\pi\) | |||||||
\(464\) | 697.540 | + | 64.4097i | 1.50332 | + | 0.138814i | ||||
\(465\) | 86.6547 | + | 35.8936i | 0.186354 | + | 0.0771904i | ||||
\(466\) | 127.800 | − | 191.900i | 0.274250 | − | 0.411802i | ||||
\(467\) | 510.310 | + | 272.766i | 1.09274 | + | 0.584082i | 0.916407 | − | 0.400248i | \(-0.131076\pi\) |
0.176334 | + | 0.984330i | \(0.443576\pi\) | |||||||
\(468\) | −942.318 | + | 1155.38i | −2.01350 | + | 2.46877i | ||||
\(469\) | 209.386 | − | 255.138i | 0.446452 | − | 0.544004i | ||||
\(470\) | 80.7675 | + | 24.3662i | 0.171846 | + | 0.0518429i | ||||
\(471\) | −98.6163 | − | 147.590i | −0.209376 | − | 0.313354i | ||||
\(472\) | 27.1857 | + | 22.1034i | 0.0575968 | + | 0.0468293i | ||||
\(473\) | −118.489 | + | 177.331i | −0.250505 | + | 0.374907i | ||||
\(474\) | 83.3863 | − | 860.074i | 0.175921 | − | 1.81450i | ||||
\(475\) | 348.614 | − | 186.338i | 0.733924 | − | 0.392291i | ||||
\(476\) | −106.186 | + | 71.4207i | −0.223081 | + | 0.150043i | ||||
\(477\) | 1515.65 | + | 149.278i | 3.17746 | + | 0.312953i | ||||
\(478\) | −0.318428 | − | 208.892i | −0.000666168 | − | 0.437013i | ||||
\(479\) | −89.5579 | + | 89.5579i | −0.186969 | + | 0.186969i | −0.794384 | − | 0.607416i | \(-0.792206\pi\) |
0.607416 | + | 0.794384i | \(0.292206\pi\) | |||||||
\(480\) | −407.792 | + | 414.056i | −0.849567 | + | 0.862617i | ||||
\(481\) | 57.6201 | − | 57.6201i | 0.119792 | − | 0.119792i | ||||
\(482\) | 387.291 | − | 388.473i | 0.803507 | − | 0.805961i | ||||
\(483\) | −290.153 | − | 28.5776i | −0.600731 | − | 0.0591668i | ||||
\(484\) | −0.546080 | + | 0.822685i | −0.00112826 | + | 0.00169976i | ||||
\(485\) | −163.514 | + | 87.4002i | −0.337143 | + | 0.180207i | ||||
\(486\) | 1603.07 | + | 1947.28i | 3.29849 | + | 4.00676i | ||||
\(487\) | 336.186 | − | 503.137i | 0.690320 | − | 1.03314i | −0.306376 | − | 0.951911i | \(-0.599117\pi\) |
0.996696 | − | 0.0812257i | \(-0.0258835\pi\) | |||||||
\(488\) | 33.1974 | − | 10.2363i | 0.0680274 | − | 0.0209761i | ||||
\(489\) | −318.953 | − | 477.347i | −0.652256 | − | 0.976170i | ||||
\(490\) | −58.3414 | − | 108.750i | −0.119064 | − | 0.221939i | ||||
\(491\) | 341.983 | − | 416.707i | 0.696503 | − | 0.848691i | −0.297872 | − | 0.954606i | \(-0.596277\pi\) |
0.994375 | + | 0.105914i | \(0.0337770\pi\) | |||||||
\(492\) | 124.304 | + | 230.860i | 0.252650 | + | 0.469228i | ||||
\(493\) | 148.561 | + | 79.4075i | 0.301341 | + | 0.161070i | ||||
\(494\) | −141.936 | − | 707.921i | −0.287321 | − | 1.43304i | ||||
\(495\) | −813.015 | − | 336.762i | −1.64245 | − | 0.680327i | ||||
\(496\) | −58.0735 | + | 58.7861i | −0.117084 | + | 0.118520i | ||||
\(497\) | 241.357 | + | 582.687i | 0.485628 | + | 1.17241i | ||||
\(498\) | −259.656 | − | 387.322i | −0.521397 | − | 0.777756i | ||||
\(499\) | 843.724 | − | 255.941i | 1.69083 | − | 0.512907i | 0.709412 | − | 0.704794i | \(-0.248961\pi\) |
0.981417 | + | 0.191887i | \(0.0614606\pi\) | |||||||
\(500\) | 495.462 | + | 47.2740i | 0.990924 | + | 0.0945480i | ||||
\(501\) | −249.309 | + | 24.5548i | −0.497624 | + | 0.0490116i | ||||
\(502\) | −131.295 | + | 13.1336i | −0.261544 | + | 0.0261625i | ||||
\(503\) | 369.475 | + | 73.4932i | 0.734543 | + | 0.146110i | 0.548167 | − | 0.836369i | \(-0.315326\pi\) |
0.186376 | + | 0.982478i | \(0.440326\pi\) | |||||||
\(504\) | −1609.46 | − | 658.053i | −3.19337 | − | 1.30566i | ||||
\(505\) | 393.972 | − | 78.3660i | 0.780143 | − | 0.155180i | ||||
\(506\) | 61.1062 | − | 114.742i | 0.120763 | − | 0.226763i | ||||
\(507\) | 59.0846 | − | 194.776i | 0.116538 | − | 0.384173i | ||||
\(508\) | 286.687 | + | 284.944i | 0.564344 | + | 0.560914i | ||||
\(509\) | −413.107 | − | 503.372i | −0.811605 | − | 0.988944i | −0.999977 | − | 0.00684609i | \(-0.997821\pi\) |
0.188371 | − | 0.982098i | \(-0.439679\pi\) | |||||||
\(510\) | −129.030 | + | 53.6767i | −0.253001 | + | 0.105248i | ||||
\(511\) | 783.535i | 1.53334i | ||||||||
\(512\) | −202.405 | − | 470.294i | −0.395322 | − | 0.918543i | ||||
\(513\) | −2572.10 | −5.01383 | ||||||||
\(514\) | 124.566 | + | 299.437i | 0.242347 | + | 0.582563i | ||||
\(515\) | −425.642 | + | 349.316i | −0.826490 | + | 0.678283i | ||||
\(516\) | −324.415 | + | 326.399i | −0.628712 | + | 0.632557i | ||||
\(517\) | −144.781 | − | 43.9188i | −0.280041 | − | 0.0849494i | ||||
\(518\) | 83.8807 | + | 44.6709i | 0.161932 | + | 0.0862373i | ||||
\(519\) | 236.769 | + | 1190.32i | 0.456202 | + | 2.29348i | ||||
\(520\) | 132.268 | − | 323.500i | 0.254362 | − | 0.622116i | ||||
\(521\) | 121.391 | − | 610.274i | 0.232996 | − | 1.17135i | −0.670219 | − | 0.742163i | \(-0.733800\pi\) |
0.903215 | − | 0.429188i | \(-0.141200\pi\) | |||||||
\(522\) | 227.816 | + | 2277.46i | 0.436429 | + | 4.36295i | ||||
\(523\) | 76.1833 | + | 773.502i | 0.145666 | + | 1.47897i | 0.738831 | + | 0.673890i | \(0.235378\pi\) |
−0.593166 | + | 0.805081i | \(0.702122\pi\) | |||||||
\(524\) | −9.73896 | + | 102.071i | −0.0185858 | + | 0.194791i | ||||
\(525\) | 223.407 | + | 736.473i | 0.425537 | + | 1.40281i | ||||
\(526\) | 592.619 | − | 397.284i | 1.12665 | − | 0.755292i | ||||
\(527\) | −18.3584 | + | 7.60431i | −0.0348357 | + | 0.0144294i | ||||
\(528\) | 732.462 | − | 741.449i | 1.38724 | − | 1.40426i | ||||
\(529\) | −189.050 | + | 456.407i | −0.357373 | + | 0.862774i | ||||
\(530\) | −350.043 | + | 70.1828i | −0.660458 | + | 0.132420i | ||||
\(531\) | −53.9658 | + | 100.963i | −0.101631 | + | 0.190137i | ||||
\(532\) | 741.400 | − | 399.198i | 1.39361 | − | 0.750371i | ||||
\(533\) | −121.890 | − | 100.033i | −0.228687 | − | 0.187678i | ||||
\(534\) | −346.547 | + | 185.913i | −0.648964 | + | 0.348152i | ||||
\(535\) | 21.0262 | − | 14.0493i | 0.0393014 | − | 0.0262603i | ||||
\(536\) | 93.5685 | + | 303.451i | 0.174568 | + | 0.566141i | ||||
\(537\) | 607.127 | + | 405.669i | 1.13059 | + | 0.755436i | ||||
\(538\) | 575.828 | − | 474.040i | 1.07031 | − | 0.881116i | ||||
\(539\) | 104.332 | + | 195.191i | 0.193565 | + | 0.362135i | ||||
\(540\) | −1037.32 | − | 688.552i | −1.92097 | − | 1.27510i | ||||
\(541\) | 55.0737 | − | 559.172i | 0.101800 | − | 1.03359i | −0.799580 | − | 0.600560i | \(-0.794944\pi\) |
0.901379 | − | 0.433030i | \(-0.142556\pi\) | |||||||
\(542\) | 130.969 | + | 130.571i | 0.241641 | + | 0.240905i | ||||
\(543\) | −958.452 | − | 958.452i | −1.76510 | − | 1.76510i | ||||
\(544\) | −0.938399 | − | 123.117i | −0.00172500 | − | 0.226319i | ||||
\(545\) | −13.1095 | − | 13.1095i | −0.0240541 | − | 0.0240541i | ||||
\(546\) | 1405.72 | − | 2.14284i | 2.57458 | − | 0.00392461i | ||||
\(547\) | −64.3124 | + | 652.974i | −0.117573 | + | 1.19374i | 0.737543 | + | 0.675300i | \(0.235986\pi\) |
−0.855116 | + | 0.518437i | \(0.826514\pi\) | |||||||
\(548\) | −530.576 | − | 788.847i | −0.968205 | − | 1.43950i | ||||
\(549\) | 53.5072 | + | 100.105i | 0.0974630 | + | 0.182341i | ||||
\(550\) | −341.552 | − | 33.1143i | −0.621004 | − | 0.0602079i | ||||
\(551\) | −921.605 | − | 615.797i | −1.67260 | − | 1.11760i | ||||
\(552\) | 176.959 | − | 217.647i | 0.320578 | − | 0.394289i | ||||
\(553\) | −503.914 | + | 336.705i | −0.911237 | + | 0.608869i | ||||
\(554\) | 175.186 | − | 580.697i | 0.316221 | − | 1.04819i | ||||
\(555\) | 80.2243 | + | 65.8384i | 0.144548 | + | 0.118628i | ||||
\(556\) | 304.781 | + | 248.576i | 0.548167 | + | 0.447079i | ||||
\(557\) | 209.021 | − | 391.050i | 0.375262 | − | 0.702065i | −0.621419 | − | 0.783479i | \(-0.713443\pi\) |
0.996680 | + | 0.0814136i | \(0.0259435\pi\) | |||||||
\(558\) | −224.722 | − | 149.659i | −0.402727 | − | 0.268207i | ||||
\(559\) | 105.910 | − | 255.689i | 0.189463 | − | 0.457405i | ||||
\(560\) | 405.871 | + | 37.4775i | 0.724770 | + | 0.0669241i | ||||
\(561\) | 231.548 | − | 95.9105i | 0.412742 | − | 0.170964i | ||||
\(562\) | −139.792 | + | 708.425i | −0.248741 | + | 1.26054i | ||||
\(563\) | 88.1075 | + | 290.452i | 0.156496 | + | 0.515900i | 0.999767 | − | 0.0215898i | \(-0.00687277\pi\) |
−0.843270 | + | 0.537489i | \(0.819373\pi\) | |||||||
\(564\) | −288.381 | − | 153.015i | −0.511315 | − | 0.271302i | ||||
\(565\) | 64.2748 | + | 652.594i | 0.113761 | + | 1.15503i | ||||
\(566\) | 294.237 | − | 359.645i | 0.519853 | − | 0.635415i | ||||
\(567\) | 595.343 | − | 2992.99i | 1.04999 | − | 5.27865i | ||||
\(568\) | −595.672 | − | 115.657i | −1.04872 | − | 0.203622i | ||||
\(569\) | −85.8454 | − | 431.574i | −0.150871 | − | 0.758478i | −0.979934 | − | 0.199323i | \(-0.936126\pi\) |
0.829063 | − | 0.559155i | \(-0.188874\pi\) | |||||||
\(570\) | 879.545 | − | 268.272i | 1.54306 | − | 0.470653i | ||||
\(571\) | −899.842 | − | 272.964i | −1.57590 | − | 0.478045i | −0.623230 | − | 0.782038i | \(-0.714180\pi\) |
−0.952674 | + | 0.303993i | \(0.901680\pi\) | |||||||
\(572\) | −238.093 | + | 579.800i | −0.416246 | + | 1.01364i | ||||
\(573\) | 291.111 | − | 238.909i | 0.508048 | − | 0.416944i | ||||
\(574\) | 70.1149 | − | 170.005i | 0.122151 | − | 0.296176i | ||||
\(575\) | −92.3571 | −0.160621 | ||||||||
\(576\) | 1382.41 | − | 942.096i | 2.40001 | − | 1.63558i | ||||
\(577\) | − | 26.6149i | − | 0.0461263i | −0.999734 | − | 0.0230632i | \(-0.992658\pi\) | ||
0.999734 | − | 0.0230632i | \(-0.00734189\pi\) | |||||||
\(578\) | −209.088 | + | 506.968i | −0.361745 | + | 0.877108i | ||||
\(579\) | 543.314 | + | 662.030i | 0.938367 | + | 1.14340i | ||||
\(580\) | −206.833 | − | 495.064i | −0.356608 | − | 0.853559i | ||||
\(581\) | −94.9372 | + | 312.966i | −0.163403 | + | 0.538668i | ||||
\(582\) | 686.262 | − | 209.318i | 1.17915 | − | 0.359653i | ||||
\(583\) | 627.955 | − | 124.908i | 1.07711 | − | 0.214251i | ||||
\(584\) | −628.706 | − | 415.942i | −1.07655 | − | 0.712229i | ||||
\(585\) | 1119.99 | + | 222.781i | 1.91452 | + | 0.380821i | ||||
\(586\) | −311.597 | + | 380.864i | −0.531735 | + | 0.649939i | ||||
\(587\) | −2.79792 | + | 0.275571i | −0.00476647 | + | 0.000469457i | −0.100400 | − | 0.994947i | \(-0.532012\pi\) |
0.0956336 | + | 0.995417i | \(0.469512\pi\) | |||||||
\(588\) | 140.023 | + | 456.579i | 0.238135 | + | 0.776495i | ||||
\(589\) | 125.120 | − | 37.9549i | 0.212429 | − | 0.0644395i | ||||
\(590\) | 5.19530 | − | 26.3282i | 0.00880560 | − | 0.0446241i | ||||
\(591\) | 776.912 | + | 1875.63i | 1.31457 | + | 3.17366i | ||||
\(592\) | −80.3721 | + | 43.5919i | −0.135764 | + | 0.0736350i | ||||
\(593\) | 351.180 | + | 145.464i | 0.592209 | + | 0.245301i | 0.658601 | − | 0.752493i | \(-0.271149\pi\) |
−0.0663915 | + | 0.997794i | \(0.521149\pi\) | |||||||
\(594\) | 1858.44 | + | 1237.68i | 3.12869 | + | 2.08363i | ||||
\(595\) | 86.4419 | + | 46.2041i | 0.145280 | + | 0.0776540i | ||||
\(596\) | −529.001 | + | 53.7309i | −0.887585 | + | 0.0901526i | ||||
\(597\) | −763.270 | + | 930.047i | −1.27851 | + | 1.55787i | ||||
\(598\) | −48.7230 | + | 161.504i | −0.0814766 | + | 0.270074i | ||||
\(599\) | −6.82343 | − | 10.2120i | −0.0113914 | − | 0.0170484i | 0.825730 | − | 0.564065i | \(-0.190763\pi\) |
−0.837122 | + | 0.547017i | \(0.815763\pi\) | |||||||
\(600\) | −709.540 | − | 211.698i | −1.18257 | − | 0.352830i | ||||
\(601\) | −79.4919 | + | 118.968i | −0.132266 | + | 0.197950i | −0.891691 | − | 0.452645i | \(-0.850481\pi\) |
0.759425 | + | 0.650595i | \(0.225481\pi\) | |||||||
\(602\) | 321.259 | + | 31.1469i | 0.533653 | + | 0.0517390i | ||||
\(603\) | −915.042 | + | 489.100i | −1.51748 | + | 0.811112i | ||||
\(604\) | −67.0229 | + | 342.399i | −0.110965 | + | 0.566886i | ||||
\(605\) | 0.752650 | + | 0.0741296i | 0.00124405 | + | 0.000122528i | ||||
\(606\) | −1554.43 | + | 2.36953i | −2.56507 | + | 0.00391011i | ||||
\(607\) | −481.433 | + | 481.433i | −0.793136 | + | 0.793136i | −0.982003 | − | 0.188867i | \(-0.939519\pi\) |
0.188867 | + | 0.982003i | \(0.439519\pi\) | |||||||
\(608\) | −73.2596 | + | 806.812i | −0.120493 | + | 1.32699i | ||||
\(609\) | 1525.95 | − | 1525.95i | 2.50566 | − | 2.50566i | ||||
\(610\) | −18.8433 | − | 18.7859i | −0.0308906 | − | 0.0307966i | ||||
\(611\) | 195.384 | + | 19.2436i | 0.319777 | + | 0.0314953i | ||||
\(612\) | 394.313 | − | 79.6841i | 0.644302 | − | 0.130203i | ||||
\(613\) | −589.827 | + | 315.269i | −0.962198 | + | 0.514306i | −0.876178 | − | 0.481988i | \(-0.839915\pi\) |
−0.0860201 | + | 0.996293i | \(0.527415\pi\) | |||||||
\(614\) | −750.871 | + | 618.142i | −1.22292 | + | 1.00675i | ||||
\(615\) | 111.571 | − | 166.978i | 0.181417 | − | 0.271510i | ||||
\(616\) | −727.782 | − | 68.3213i | −1.18147 | − | 0.110911i | ||||
\(617\) | −200.691 | − | 300.355i | −0.325268 | − | 0.486799i | 0.632412 | − | 0.774632i | \(-0.282065\pi\) |
−0.957680 | + | 0.287834i | \(0.907065\pi\) | |||||||
\(618\) | 1877.65 | − | 1007.31i | 3.03828 | − | 1.62995i | ||||
\(619\) | −394.178 | + | 480.308i | −0.636799 | + | 0.775941i | −0.986998 | − | 0.160734i | \(-0.948614\pi\) |
0.350199 | + | 0.936675i | \(0.386114\pi\) | |||||||
\(620\) | 60.6214 | + | 18.1877i | 0.0977765 | + | 0.0293349i | ||||
\(621\) | 529.995 | + | 283.288i | 0.853455 | + | 0.456181i | ||||
\(622\) | −571.524 | + | 114.589i | −0.918849 | + | 0.184227i | ||||
\(623\) | 254.827 | + | 105.553i | 0.409031 | + | 0.169426i | ||||
\(624\) | −744.513 | + | 1129.09i | −1.19313 | + | 1.80943i | ||||
\(625\) | 3.49679 | + | 8.44199i | 0.00559486 | + | 0.0135072i | ||||
\(626\) | −49.0376 | + | 32.8741i | −0.0783348 | + | 0.0525146i | ||||
\(627\) | −1578.10 | + | 478.712i | −2.51691 | + | 0.763495i | ||||
\(628\) | −76.2679 | − | 92.3570i | −0.121446 | − | 0.147065i | ||||
\(629\) | −21.8810 | + | 2.15509i | −0.0347870 | + | 0.00342622i | ||||
\(630\) | 132.557 | + | 1325.16i | 0.210408 | + | 2.10343i | ||||
\(631\) | −345.496 | − | 68.7234i | −0.547537 | − | 0.108912i | −0.0864325 | − | 0.996258i | \(-0.527547\pi\) |
−0.461105 | + | 0.887346i | \(0.652547\pi\) | |||||||
\(632\) | −2.66650 | − | 583.080i | −0.00421915 | − | 0.922595i | ||||
\(633\) | 1085.28 | − | 215.876i | 1.71451 | − | 0.341037i | ||||
\(634\) | −400.352 | − | 213.209i | −0.631470 | − | 0.336291i | ||||
\(635\) | 89.8693 | − | 296.259i | 0.141526 | − | 0.466550i | ||||
\(636\) | 1381.52 | − | 4.21191i | 2.17221 | − | 0.00662250i | ||||
\(637\) | −182.199 | − | 222.010i | −0.286027 | − | 0.348525i | ||||
\(638\) | 369.578 | + | 888.408i | 0.579276 | + | 1.39249i | ||||
\(639\) | − | 1982.63i | − | 3.10271i | ||||||
\(640\) | −245.530 | + | 305.775i | −0.383640 | + | 0.477773i | ||||
\(641\) | 453.270 | 0.707130 | 0.353565 | − | 0.935410i | \(-0.384969\pi\) | ||||
0.353565 | + | 0.935410i | \(0.384969\pi\) | |||||||
\(642\) | −90.3517 | + | 37.5864i | −0.140735 | + | 0.0585457i | ||||
\(643\) | 462.971 | − | 379.950i | 0.720016 | − | 0.590902i | −0.201386 | − | 0.979512i | \(-0.564545\pi\) |
0.921402 | + | 0.388610i | \(0.127045\pi\) | |||||||
\(644\) | −196.737 | + | 0.599800i | −0.305492 | + | 0.000931367i | ||||
\(645\) | 337.298 | + | 102.318i | 0.522942 | + | 0.158633i | ||||
\(646\) | −91.5722 | + | 171.950i | −0.141753 | + | 0.266176i | ||||
\(647\) | −63.1082 | − | 317.266i | −0.0975398 | − | 0.490365i | −0.998415 | − | 0.0562866i | \(-0.982074\pi\) |
0.900875 | − | 0.434079i | \(-0.142926\pi\) | |||||||
\(648\) | 2085.53 | + | 2066.54i | 3.21841 | + | 3.18910i | ||||
\(649\) | −9.38918 | + | 47.2026i | −0.0144671 | + | 0.0727312i | ||||
\(650\) | 443.083 | − | 44.3219i | 0.681666 | − | 0.0681876i | ||||
\(651\) | 24.9518 | + | 253.340i | 0.0383285 | + | 0.389155i | ||||
\(652\) | −246.672 | − | 298.709i | −0.378331 | − | 0.458143i | ||||
\(653\) | −32.4730 | − | 107.049i | −0.0497289 | − | 0.163934i | 0.928559 | − | 0.371185i | \(-0.121048\pi\) |
−0.978288 | + | 0.207251i | \(0.933548\pi\) | |||||||
\(654\) | 39.9494 | + | 59.5916i | 0.0610846 | + | 0.0911186i | ||||
\(655\) | 72.5551 | − | 30.0533i | 0.110771 | − | 0.0458829i | ||||
\(656\) | 99.1907 | + | 146.508i | 0.151205 | + | 0.223335i | ||||
\(657\) | 942.585 | − | 2275.60i | 1.43468 | − | 3.46362i | ||||
\(658\) | 45.0117 | + | 224.500i | 0.0684069 | + | 0.341186i | ||||
\(659\) | 15.2436 | − | 28.5189i | 0.0231315 | − | 0.0432760i | −0.870090 | − | 0.492893i | \(-0.835939\pi\) |
0.893222 | + | 0.449617i | \(0.148439\pi\) | |||||||
\(660\) | −764.597 | − | 229.395i | −1.15848 | − | 0.347568i | ||||
\(661\) | 486.608 | + | 399.349i | 0.736169 | + | 0.604158i | 0.925940 | − | 0.377670i | \(-0.123275\pi\) |
−0.189771 | + | 0.981828i | \(0.560775\pi\) | |||||||
\(662\) | −258.585 | − | 482.010i | −0.390612 | − | 0.728112i | ||||
\(663\) | −270.415 | + | 180.686i | −0.407866 | + | 0.272528i | ||||
\(664\) | −200.725 | − | 242.316i | −0.302297 | − | 0.364934i | ||||
\(665\) | −536.246 | − | 358.308i | −0.806385 | − | 0.538809i | ||||
\(666\) | −189.874 | − | 230.644i | −0.285096 | − | 0.346312i | ||||
\(667\) | 122.079 | + | 228.393i | 0.183027 | + | 0.342418i | ||||
\(668\) | −165.695 | + | 33.4842i | −0.248046 | + | 0.0501260i | ||||
\(669\) | −254.273 | + | 2581.68i | −0.380079 | + | 3.85901i | ||||
\(670\) | 171.719 | − | 172.243i | 0.256297 | − | 0.257079i | ||||
\(671\) | 33.7420 | + | 33.7420i | 0.0502861 | + | 0.0502861i | ||||
\(672\) | −1512.82 | − | 446.347i | −2.25122 | − | 0.664207i | ||||
\(673\) | 155.430 | + | 155.430i | 0.230950 | + | 0.230950i | 0.813089 | − | 0.582139i | \(-0.197784\pi\) |
−0.582139 | + | 0.813089i | \(0.697784\pi\) | |||||||
\(674\) | −1.23586 | − | 810.739i | −0.00183362 | − | 1.20288i | ||||
\(675\) | 155.487 | − | 1578.68i | 0.230351 | − | 2.33879i | ||||
\(676\) | 26.3840 | − | 134.788i | 0.0390296 | − | 0.199390i | ||||
\(677\) | −620.444 | − | 1160.77i | −0.916461 | − | 1.71458i | −0.665210 | − | 0.746656i | \(-0.731658\pi\) |
−0.251251 | − | 0.967922i | \(-0.580842\pi\) | |||||||
\(678\) | 244.877 | − | 2525.74i | 0.361175 | − | 3.72528i | ||||
\(679\) | −418.404 | − | 279.569i | −0.616206 | − | 0.411736i | ||||
\(680\) | −82.9620 | + | 44.8331i | −0.122003 | + | 0.0659310i | ||||
\(681\) | −643.688 | + | 430.099i | −0.945210 | + | 0.631569i | ||||
\(682\) | −108.668 | − | 32.7833i | −0.159337 | − | 0.0480693i | ||||
\(683\) | −717.977 | − | 589.229i | −1.05121 | − | 0.862707i | −0.0604291 | − | 0.998172i | \(-0.519247\pi\) |
−0.990782 | + | 0.135466i | \(0.956747\pi\) | |||||||
\(684\) | −2633.46 | + | 267.482i | −3.85009 | + | 0.391056i | ||||
\(685\) | −343.245 | + | 642.167i | −0.501088 | + | 0.937470i | ||||
\(686\) | −266.027 | + | 399.455i | −0.387795 | + | 0.582296i | ||||
\(687\) | 749.519 | − | 1809.50i | 1.09100 | − | 2.63391i | ||||
\(688\) | −195.533 | + | 241.243i | −0.284206 | + | 0.350644i | ||||
\(689\) | −767.589 | + | 317.946i | −1.11406 | + | 0.461459i | ||||
\(690\) | −210.783 | − | 41.5934i | −0.305482 | − | 0.0602802i | ||||
\(691\) | −209.780 | − | 691.552i | −0.303589 | − | 1.00080i | −0.967475 | − | 0.252966i | \(-0.918594\pi\) |
0.663886 | − | 0.747834i | \(-0.268906\pi\) | |||||||
\(692\) | 240.115 | + | 782.952i | 0.346987 | + | 1.13143i | ||||
\(693\) | −234.104 | − | 2376.90i | −0.337812 | − | 3.42987i | ||||
\(694\) | 836.719 | + | 684.546i | 1.20565 | + | 0.986377i | ||||
\(695\) | 58.7677 | − | 295.445i | 0.0845578 | − | 0.425101i | ||||
\(696\) | 414.362 | + | 2034.47i | 0.595348 | + | 2.92309i | ||||
\(697\) | 8.30029 | + | 41.7284i | 0.0119086 | + | 0.0598685i | ||||
\(698\) | −78.3586 | − | 256.903i | −0.112262 | − | 0.368056i | ||||
\(699\) | 653.937 | + | 198.370i | 0.935532 | + | 0.283790i | ||||
\(700\) | 200.198 | + | 479.183i | 0.285997 | + | 0.684548i | ||||
\(701\) | 102.495 | − | 84.1152i | 0.146212 | − | 0.119993i | −0.558444 | − | 0.829542i | \(-0.688601\pi\) |
0.704656 | + | 0.709549i | \(0.251101\pi\) | |||||||
\(702\) | −2678.60 | − | 1104.73i | −3.81567 | − | 1.57369i | ||||
\(703\) | 144.673 | 0.205794 | ||||||||
\(704\) | 441.166 | − | 547.702i | 0.626657 | − | 0.777986i | ||||
\(705\) | 250.044i | 0.354672i | ||||||||
\(706\) | −576.358 | − | 237.707i | −0.816371 | − | 0.336695i | ||||
\(707\) | 691.630 | + | 842.754i | 0.978260 | + | 1.19201i | ||||
\(708\) | −39.4482 | + | 96.0636i | −0.0557177 | + | 0.135683i | ||||
\(709\) | −330.554 | + | 1089.69i | −0.466225 | + | 1.53694i | 0.337142 | + | 0.941454i | \(0.390540\pi\) |
−0.803367 | + | 0.595484i | \(0.796960\pi\) | |||||||
\(710\) | 135.590 | + | 444.539i | 0.190972 | + | 0.626112i | ||||
\(711\) | 1868.56 | − | 371.679i | 2.62807 | − | 0.522755i | ||||
\(712\) | −219.971 | + | 148.439i | −0.308947 | + | 0.208482i | ||||
\(713\) | −29.9621 | − | 5.95983i | −0.0420226 | − | 0.00835881i | ||||
\(714\) | −293.564 | − | 240.174i | −0.411154 | − | 0.336378i | ||||
\(715\) | 477.754 | − | 47.0547i | 0.668188 | − | 0.0658108i | ||||
\(716\) | 435.244 | + | 230.940i | 0.607883 | + | 0.322541i | ||||
\(717\) | 592.479 | − | 179.726i | 0.826330 | − | 0.250664i | ||||
\(718\) | −428.769 | − | 84.6082i | −0.597171 | − | 0.117839i | ||||
\(719\) | −416.086 | − | 1004.52i | −0.578701 | − | 1.39711i | −0.893979 | − | 0.448108i | \(-0.852098\pi\) |
0.315278 | − | 0.948999i | \(-0.397902\pi\) | |||||||
\(720\) | −1133.68 | − | 597.103i | −1.57455 | − | 0.829310i | ||||
\(721\) | −1380.70 | − | 571.903i | −1.91498 | − | 0.793209i | ||||
\(722\) | 310.333 | − | 465.982i | 0.429824 | − | 0.645404i | ||||
\(723\) | 1433.87 | + | 766.419i | 1.98322 | + | 1.06005i | ||||
\(724\) | −708.792 | − | 578.083i | −0.978994 | − | 0.798458i | ||||
\(725\) | 433.671 | − | 528.430i | 0.598167 | − | 0.728869i | ||||
\(726\) | −2.80192 | − | 0.845291i | −0.00385939 | − | 0.00116431i | ||||
\(727\) | 298.160 | + | 446.227i | 0.410123 | + | 0.613793i | 0.977821 | − | 0.209445i | \(-0.0671656\pi\) |
−0.567697 | + | 0.823237i | \(0.692166\pi\) | |||||||
\(728\) | 943.558 | − | 97.2912i | 1.29610 | − | 0.133642i | ||||
\(729\) | −2318.25 | + | 3469.50i | −3.18004 | + | 4.75926i | ||||
\(730\) | −55.7176 | + | 574.690i | −0.0763255 | + | 0.787246i | ||||
\(731\) | −65.8569 | + | 35.2013i | −0.0900916 | + | 0.0481549i | ||||
\(732\) | 57.4652 | + | 85.4377i | 0.0785044 | + | 0.116718i | ||||
\(733\) | −1147.59 | − | 113.028i | −1.56561 | − | 0.154199i | −0.722284 | − | 0.691597i | \(-0.756907\pi\) |
−0.843329 | + | 0.537398i | \(0.819407\pi\) | |||||||
\(734\) | 2.03750 | + | 1336.62i | 0.00277588 | + | 1.82101i | ||||
\(735\) | 258.645 | − | 258.645i | 0.351898 | − | 0.351898i | ||||
\(736\) | 103.957 | − | 158.180i | 0.141246 | − | 0.214918i | ||||
\(737\) | −308.430 | + | 308.430i | −0.418493 | + | 0.418493i | ||||
\(738\) | −408.147 | + | 409.393i | −0.553045 | + | 0.554733i | ||||
\(739\) | 181.845 | + | 17.9102i | 0.246069 | + | 0.0242357i | 0.220300 | − | 0.975432i | \(-0.429296\pi\) |
0.0257693 | + | 0.999668i | \(0.491796\pi\) | |||||||
\(740\) | 58.3464 | + | 38.7290i | 0.0788464 | + | 0.0523365i | ||||
\(741\) | 1887.29 | − | 1008.78i | 2.54695 | − | 1.36137i | ||||
\(742\) | −615.839 | − | 748.074i | −0.829972 | − | 1.00819i | ||||
\(743\) | −2.13893 | + | 3.20113i | −0.00287877 | + | 0.00430839i | −0.832906 | − | 0.553414i | \(-0.813325\pi\) |
0.830027 | + | 0.557723i | \(0.188325\pi\) | |||||||
\(744\) | −216.525 | − | 114.465i | −0.291028 | − | 0.153851i | ||||
\(745\) | 226.260 | + | 338.622i | 0.303705 | + | 0.454527i | ||||
\(746\) | −185.017 | − | 344.877i | −0.248012 | − | 0.462302i | ||||
\(747\) | 652.218 | − | 794.730i | 0.873116 | − | 1.06390i | ||||
\(748\) | 148.906 | − | 80.1763i | 0.199072 | − | 0.107188i | ||||
\(749\) | 60.5297 | + | 32.3538i | 0.0808140 | + | 0.0431960i | ||||
\(750\) | 289.997 | + | 1446.39i | 0.386663 | + | 1.92852i | ||||
\(751\) | −42.5756 | − | 17.6354i | −0.0566919 | − | 0.0234826i | 0.354157 | − | 0.935186i | \(-0.384768\pi\) |
−0.410849 | + | 0.911703i | \(0.634768\pi\) | |||||||
\(752\) | −204.033 | − | 83.0593i | −0.271320 | − | 0.110451i | ||||
\(753\) | −149.663 | − | 361.319i | −0.198756 | − | 0.479840i | ||||
\(754\) | −695.278 | − | 1037.13i | −0.922119 | − | 1.37551i | ||||
\(755\) | 255.721 | − | 77.5722i | 0.338703 | − | 0.102745i | ||||
\(756\) | 320.962 | − | 3363.89i | 0.424553 | − | 4.44959i | ||||
\(757\) | −31.9783 | + | 3.14959i | −0.0422435 | + | 0.00416062i | −0.119117 | − | 0.992880i | \(-0.538006\pi\) |
0.0768733 | + | 0.997041i | \(0.475506\pi\) | |||||||
\(758\) | 868.533 | − | 86.8800i | 1.14582 | − | 0.114617i | ||||
\(759\) | 377.902 | + | 75.1693i | 0.497894 | + | 0.0990373i | ||||
\(760\) | 572.173 | − | 240.073i | 0.752859 | − | 0.315886i | ||||
\(761\) | −887.312 | + | 176.497i | −1.16598 | + | 0.231928i | −0.739875 | − | 0.672745i | \(-0.765115\pi\) |
−0.426107 | + | 0.904673i | \(0.640115\pi\) | |||||||
\(762\) | −563.136 | + | 1057.43i | −0.739024 | + | 1.38770i | ||||
\(763\) | 14.6066 | − | 48.1514i | 0.0191436 | − | 0.0631080i | ||||
\(764\) | 179.141 | − | 180.237i | 0.234478 | − | 0.235912i | ||||
\(765\) | −195.468 | − | 238.178i | −0.255513 | − | 0.311344i | ||||
\(766\) | −276.412 | + | 114.988i | −0.360851 | + | 0.150114i | ||||
\(767\) | − | 62.4526i | − | 0.0814245i | ||||||
\(768\) | 1161.23 | − | 976.939i | 1.51202 | − | 1.27206i | ||||
\(769\) | 581.855 | 0.756638 | 0.378319 | − | 0.925675i | \(-0.376502\pi\) | ||||
0.378319 | + | 0.925675i | \(0.376502\pi\) | |||||||
\(770\) | 215.043 | + | 516.930i | 0.279277 | + | 0.671337i | ||||
\(771\) | −743.046 | + | 609.802i | −0.963743 | + | 0.790924i | ||||
\(772\) | 409.885 | + | 407.394i | 0.530940 | + | 0.527712i | ||||
\(773\) | 69.7344 | + | 21.1537i | 0.0902127 | + | 0.0273657i | 0.335068 | − | 0.942194i | \(-0.391241\pi\) |
−0.244856 | + | 0.969560i | \(0.578741\pi\) | |||||||
\(774\) | −895.555 | − | 476.930i | −1.15705 | − | 0.616189i | ||||
\(775\) | 15.7320 | + | 79.0899i | 0.0202993 | + | 0.102051i | ||||
\(776\) | 446.436 | − | 187.316i | 0.575304 | − | 0.241387i | ||||
\(777\) | −54.9515 | + | 276.260i | −0.0707227 | + | 0.355547i | ||||
\(778\) | 25.7932 | + | 257.853i | 0.0331533 | + | 0.331431i | ||||
\(779\) | −27.4399 | − | 278.602i | −0.0352245 | − | 0.357641i | ||||
\(780\) | 1031.19 | + | 98.3900i | 1.32204 | + | 0.126141i | ||||
\(781\) | −241.950 | − | 797.603i | −0.309795 | − | 1.02126i | ||||
\(782\) | 37.8074 | − | 25.3455i | 0.0483470 | − | 0.0324111i | ||||
\(783\) | −4109.51 | + | 1702.21i | −5.24841 | + | 2.17396i | ||||
\(784\) | 125.135 | + | 296.967i | 0.159611 | + | 0.378785i | ||||
\(785\) | −35.1074 | + | 84.7567i | −0.0447228 | + | 0.107970i | ||||
\(786\) | −297.972 | + | 59.7426i | −0.379099 | + | 0.0760084i | ||||
\(787\) | −81.1084 | + | 151.743i | −0.103060 | + | 0.192812i | −0.928166 | − | 0.372166i | \(-0.878615\pi\) |
0.825106 | + | 0.564978i | \(0.191115\pi\) | |||||||
\(788\) | 649.459 | + | 1206.19i | 0.824187 | + | 1.53070i | ||||
\(789\) | 1634.64 | + | 1341.52i | 2.07179 | + | 1.70027i | ||||
\(790\) | −393.543 | + | 211.125i | −0.498156 | + | 0.267247i | ||||
\(791\) | −1479.82 | + | 988.784i | −1.87082 | + | 1.25004i | ||||
\(792\) | 2031.49 | + | 1073.94i | 2.56501 | + | 1.35598i | ||||
\(793\) | −51.4861 | − | 34.4019i | −0.0649257 | − | 0.0433820i | ||||
\(794\) | 733.185 | − | 603.582i | 0.923406 | − | 0.760179i | ||||
\(795\) | −498.805 | − | 933.199i | −0.627428 | − | 1.17384i | ||||
\(796\) | −448.988 | + | 676.414i | −0.564056 | + | 0.849766i | ||||
\(797\) | −49.0282 | + | 497.791i | −0.0615159 | + | 0.624582i | 0.914159 | + | 0.405357i | \(0.132853\pi\) |
−0.975674 | + | 0.219225i | \(0.929647\pi\) | |||||||
\(798\) | 1767.44 | + | 1762.06i | 2.21484 | + | 2.20809i | ||||
\(799\) | −37.4580 | − | 37.4580i | −0.0468811 | − | 0.0468811i | ||||
\(800\) | −490.771 | − | 93.7376i | −0.613464 | − | 0.117172i | ||||
\(801\) | −613.107 | − | 613.107i | −0.765427 | − | 0.765427i | ||||
\(802\) | 439.634 | − | 0.670163i | 0.548172 | − | 0.000835615i | ||||
\(803\) | 101.494 | − | 1030.49i | 0.126394 | − | 1.28330i | ||||
\(804\) | −780.972 | + | 525.280i | −0.971358 | + | 0.653333i | ||||
\(805\) | 71.0328 | + | 132.893i | 0.0882395 | + | 0.165085i | ||||
\(806\) | 146.603 | + | 14.2136i | 0.181890 | + | 0.0176347i | ||||
\(807\) | 1838.07 | + | 1228.16i | 2.27766 | + | 1.52188i | ||||
\(808\) | −1043.38 | + | 107.584i | −1.29131 | + | 0.133148i | ||||
\(809\) | −847.040 | + | 565.974i | −1.04702 | + | 0.699597i | −0.955134 | − | 0.296173i | \(-0.904290\pi\) |
−0.0918864 | + | 0.995769i | \(0.529290\pi\) | |||||||
\(810\) | 649.492 | − | 2152.90i | 0.801842 | − | 2.65790i | ||||
\(811\) | −749.822 | − | 615.363i | −0.924564 | − | 0.758770i | 0.0461681 | − | 0.998934i | \(-0.485299\pi\) |
−0.970733 | + | 0.240163i | \(0.922799\pi\) | |||||||
\(812\) | 920.366 | − | 1128.47i | 1.13346 | − | 1.38974i | ||||
\(813\) | −258.390 | + | 483.414i | −0.317823 | + | 0.594605i | ||||
\(814\) | −104.532 | − | 69.6157i | −0.128417 | − | 0.0855230i | ||||
\(815\) | −113.547 | + | 274.127i | −0.139322 | + | 0.336353i | ||||
\(816\) | 348.554 | − | 108.058i | 0.427150 | − | 0.132424i | ||||
\(817\) | 453.952 | − | 188.033i | 0.555633 | − | 0.230151i | ||||
\(818\) | 230.022 | − | 1165.68i | 0.281200 | − | 1.42504i | ||||
\(819\) | 899.682 | + | 2965.85i | 1.09851 | + | 3.62131i | ||||
\(820\) | 63.5155 | − | 119.705i | 0.0774579 | − | 0.145982i | ||||
\(821\) | 32.7281 | + | 332.294i | 0.0398637 | + | 0.404743i | 0.994323 | + | 0.106402i | \(0.0339331\pi\) |
−0.954460 | + | 0.298340i | \(0.903567\pi\) | |||||||
\(822\) | 1784.22 | − | 2180.85i | 2.17059 | − | 2.65311i | ||||
\(823\) | −169.021 | + | 849.727i | −0.205372 | + | 1.03247i | 0.731244 | + | 0.682116i | \(0.238940\pi\) |
−0.936616 | + | 0.350359i | \(0.886060\pi\) | |||||||
\(824\) | 1191.84 | − | 804.270i | 1.44641 | − | 0.976056i | ||||
\(825\) | −198.422 | − | 997.534i | −0.240511 | − | 1.20913i | ||||
\(826\) | 69.6665 | − | 21.2491i | 0.0843420 | − | 0.0257253i | ||||
\(827\) | −505.549 | − | 153.357i | −0.611305 | − | 0.185437i | −0.0305733 | − | 0.999533i | \(-0.509733\pi\) |
−0.580731 | + | 0.814095i | \(0.697233\pi\) | |||||||
\(828\) | 572.100 | + | 234.931i | 0.690942 | + | 0.283733i | ||||
\(829\) | 769.344 | − | 631.384i | 0.928039 | − | 0.761622i | −0.0433639 | − | 0.999059i | \(-0.513807\pi\) |
0.971403 | + | 0.237438i | \(0.0763075\pi\) | |||||||
\(830\) | −91.8875 | + | 222.796i | −0.110708 | + | 0.268429i | ||||
\(831\) | 1797.75 | 2.16336 | ||||||||
\(832\) | −422.824 | + | 808.756i | −0.508202 | + | 0.972062i | ||||
\(833\) | 77.4930i | 0.0930288i | ||||||||
\(834\) | −444.449 | + | 1077.64i | −0.532912 | + | 1.29213i | ||||
\(835\) | 82.1377 | + | 100.085i | 0.0983686 | + | 0.119862i | ||||
\(836\) | −1026.78 | + | 428.980i | −1.22821 | + | 0.513134i | ||||
\(837\) | 152.315 | − | 502.116i | 0.181978 | − | 0.599900i | ||||
\(838\) | −1276.54 | + | 389.360i | −1.52332 | + | 0.464630i | ||||
\(839\) | −747.093 | + | 148.606i | −0.890457 | + | 0.177123i | −0.619059 | − | 0.785345i | \(-0.712486\pi\) |
−0.271398 | + | 0.962467i | \(0.587486\pi\) | |||||||
\(840\) | 241.101 | + | 1183.78i | 0.287025 | + | 1.40926i | ||||
\(841\) | −1055.17 | − | 209.885i | −1.25466 | − | 0.249567i | ||||
\(842\) | 179.937 | − | 219.936i | 0.213702 | − | 0.261207i | ||||
\(843\) | −2129.89 | + | 209.776i | −2.52656 | + | 0.248845i | ||||
\(844\) | 713.864 | − | 218.927i | 0.845810 | − | 0.259392i | ||||
\(845\) | −100.666 | + | 30.5368i | −0.119132 | + | 0.0361382i | ||||
\(846\) | 139.345 | − | 706.158i | 0.164710 | − | 0.834703i | ||||
\(847\) | 0.785512 | + | 1.89639i | 0.000927405 | + | 0.00223895i | ||||
\(848\) | 927.172 | − | 97.0302i | 1.09336 | − | 0.114422i | ||||
\(849\) | 1272.41 | + | 527.049i | 1.49871 | + | 0.620788i | ||||
\(850\) | −100.002 | − | 66.5991i | −0.117650 | − | 0.0783519i | ||||
\(851\) | −29.8107 | − | 15.9341i | −0.0350302 | − | 0.0187240i | ||||
\(852\) | −181.739 | − | 1789.28i | −0.213308 | − | 2.10010i | ||||
\(853\) | −477.294 | + | 581.585i | −0.559548 | + | 0.681811i | −0.973552 | − | 0.228464i | \(-0.926630\pi\) |
0.414004 | + | 0.910275i | \(0.364130\pi\) | |||||||
\(854\) | 20.8578 | − | 69.1383i | 0.0244237 | − | 0.0809582i | ||||
\(855\) | 1126.36 | + | 1685.72i | 1.31738 | + | 1.97160i | ||||
\(856\) | −58.0929 | + | 31.3937i | −0.0678656 | + | 0.0366749i | ||||
\(857\) | 378.764 | − | 566.860i | 0.441965 | − | 0.661447i | −0.541883 | − | 0.840454i | \(-0.682288\pi\) |
0.983848 | + | 0.179007i | \(0.0572885\pi\) | |||||||
\(858\) | −1849.06 | − | 179.271i | −2.15508 | − | 0.208940i | ||||
\(859\) | 611.743 | − | 326.984i | 0.712158 | − | 0.380656i | −0.0751869 | − | 0.997169i | \(-0.523955\pi\) |
0.787345 | + | 0.616513i | \(0.211455\pi\) | |||||||
\(860\) | 233.415 | + | 45.6898i | 0.271413 | + | 0.0531277i | ||||
\(861\) | 542.427 | + | 53.4244i | 0.629996 | + | 0.0620492i | ||||
\(862\) | 949.983 | − | 1.44812i | 1.10207 | − | 0.00167996i | ||||
\(863\) | 702.776 | − | 702.776i | 0.814340 | − | 0.814340i | −0.170941 | − | 0.985281i | \(-0.554681\pi\) |
0.985281 | + | 0.170941i | \(0.0546807\pi\) | |||||||
\(864\) | 2528.79 | + | 2043.27i | 2.92684 | + | 2.36489i | ||||
\(865\) | 443.530 | − | 443.530i | 0.512752 | − | 0.512752i | ||||
\(866\) | 169.943 | + | 169.425i | 0.196238 | + | 0.195641i | ||||
\(867\) | −1617.56 | − | 159.316i | −1.86570 | − | 0.183755i | ||||
\(868\) | 34.0255 | + | 168.374i | 0.0391999 | + | 0.193979i | ||||
\(869\) | 706.353 | − | 377.553i | 0.812834 | − | 0.434469i | ||||
\(870\) | 1227.73 | − | 1010.71i | 1.41118 | − | 1.16173i | ||||
\(871\) | 314.462 | − | 470.626i | 0.361036 | − | 0.540328i | ||||
\(872\) | 30.8826 | + | 37.2816i | 0.0354158 | + | 0.0427541i | ||||
\(873\) | 878.841 | + | 1315.28i | 1.00669 | + | 1.50662i | ||||
\(874\) | −263.920 | + | 141.586i | −0.301967 | + | 0.161997i | ||||
\(875\) | 656.363 | − | 799.781i | 0.750130 | − | 0.914036i | ||||
\(876\) | 642.068 | − | 2140.08i | 0.732955 | − | 2.44301i | ||||
\(877\) | 1454.19 | + | 777.281i | 1.65814 | + | 0.886295i | 0.989804 | + | 0.142438i | \(0.0454942\pi\) |
0.668339 | + | 0.743857i | \(0.267006\pi\) | |||||||
\(878\) | −668.372 | + | 134.007i | −0.761244 | + | 0.152628i | ||||
\(879\) | −1347.48 | − | 558.145i | −1.53297 | − | 0.634977i | ||||
\(880\) | −528.939 | − | 101.864i | −0.601067 | − | 0.115754i | ||||
\(881\) | −492.825 | − | 1189.78i | −0.559392 | − | 1.35049i | −0.910248 | − | 0.414063i | \(-0.864109\pi\) |
0.350856 | − | 0.936429i | \(-0.385891\pi\) | |||||||
\(882\) | −874.587 | + | 586.311i | −0.991595 | + | 0.664751i | ||||
\(883\) | 59.0473 | − | 17.9118i | 0.0668713 | − | 0.0202852i | −0.256672 | − | 0.966499i | \(-0.582626\pi\) |
0.323543 | + | 0.946213i | \(0.395126\pi\) | |||||||
\(884\) | −169.218 | + | 139.739i | −0.191423 | + | 0.158076i | ||||
\(885\) | 79.1563 | − | 7.79621i | 0.0894421 | − | 0.00880928i | ||||
\(886\) | 30.1900 | + | 301.807i | 0.0340745 | + | 0.340640i | ||||
\(887\) | −157.180 | − | 31.2650i | −0.177204 | − | 0.0352480i | 0.105691 | − | 0.994399i | \(-0.466295\pi\) |
−0.282895 | + | 0.959151i | \(0.591295\pi\) | |||||||
\(888\) | −192.499 | − | 190.746i | −0.216778 | − | 0.214804i | ||||
\(889\) | 824.109 | − | 163.925i | 0.927006 | − | 0.184393i | ||||
\(890\) | 179.399 | + | 95.5392i | 0.201571 | + | 0.107347i | ||||
\(891\) | −1170.68 | + | 3859.21i | −1.31389 | + | 4.33132i | ||||
\(892\) | 5.33681 | + | 1750.50i | 0.00598297 | + | 1.96244i | ||||
\(893\) | 221.127 | + | 269.444i | 0.247623 | + | 0.301729i | ||||
\(894\) | −605.319 | − | 1455.09i | −0.677091 | − | 1.62762i | ||||
\(895\) | − | 377.383i | − | 0.421657i | ||||||
\(896\) | −1046.04 | − | 196.491i | −1.16745 | − | 0.219298i | ||||
\(897\) | −499.992 | −0.557405 | ||||||||
\(898\) | −481.565 | + | 200.332i | −0.536264 | + | 0.223086i | ||||
\(899\) | 174.790 | − | 143.446i | 0.194427 | − | 0.159562i | ||||
\(900\) | −4.97711 | − | 1632.51i | −0.00553013 | − | 1.81391i | ||||
\(901\) | 214.522 | + | 65.0747i | 0.238094 | + | 0.0722250i | ||||
\(902\) | −114.235 | + | 214.505i | −0.126647 | + | 0.237810i | ||||
\(903\) | 186.633 | + | 938.266i | 0.206681 | + | 1.03905i | ||||
\(904\) | −7.83058 | − | 1712.30i | −0.00866214 | − | 1.89414i | ||||
\(905\) | −136.669 | + | 687.082i | −0.151015 | + | 0.759206i | ||||
\(906\) | −1028.96 | + | 102.928i | −1.13572 | + | 0.113607i | ||||
\(907\) | 83.4883 | + | 847.671i | 0.0920489 | + | 0.934588i | 0.924676 | + | 0.380754i | \(0.124336\pi\) |
−0.832627 | + | 0.553834i | \(0.813164\pi\) | |||||||
\(908\) | −402.800 | + | 332.630i | −0.443612 | + | 0.366332i | ||||
\(909\) | −994.859 | − | 3279.61i | −1.09445 | − | 3.60793i | ||||
\(910\) | −404.555 | − | 603.466i | −0.444566 | − | 0.663149i | ||||
\(911\) | 548.154 | − | 227.053i | 0.601706 | − | 0.249235i | −0.0609719 | − | 0.998139i | \(-0.519420\pi\) |
0.662678 | + | 0.748905i | \(0.269420\pi\) | |||||||
\(912\) | −2352.12 | + | 482.793i | −2.57908 | + | 0.529379i | ||||
\(913\) | 165.399 | − | 399.309i | 0.181160 | − | 0.437359i | ||||
\(914\) | 62.2664 | + | 310.560i | 0.0681252 | + | 0.339781i | ||||
\(915\) | 37.1759 | − | 69.5513i | 0.0406294 | − | 0.0760123i | ||||
\(916\) | 379.789 | − | 1265.88i | 0.414617 | − | 1.38196i | ||||
\(917\) | 164.764 | + | 135.218i | 0.179677 | + | 0.147457i | ||||
\(918\) | 369.587 | + | 688.921i | 0.402600 | + | 0.750458i | ||||
\(919\) | 1324.22 | − | 884.815i | 1.44093 | − | 0.962802i | 0.443138 | − | 0.896453i | \(-0.353865\pi\) |
0.997797 | − | 0.0663481i | \(-0.0211348\pi\) | |||||||
\(920\) | −144.341 | − | 13.5501i | −0.156892 | − | 0.0147284i | ||||
\(921\) | −2396.82 | − | 1601.50i | −2.60241 | − | 1.73887i | ||||
\(922\) | 644.767 | + | 783.213i | 0.699313 | + | 0.849472i | ||||
\(923\) | 509.855 | + | 953.872i | 0.552389 | + | 1.03345i | ||||
\(924\) | −429.152 | − | 2123.64i | −0.464451 | − | 2.29831i | ||||
\(925\) | −8.74567 | + | 88.7962i | −0.00945477 | + | 0.0959959i | ||||
\(926\) | −729.429 | + | 731.656i | −0.787720 | + | 0.790125i | ||||
\(927\) | 3321.93 | + | 3321.93i | 3.58352 | + | 3.58352i | ||||
\(928\) | 416.900 | + | 1337.55i | 0.449245 | + | 1.44132i | ||||
\(929\) | 735.757 | + | 735.757i | 0.791988 | + | 0.791988i | 0.981817 | − | 0.189829i | \(-0.0607934\pi\) |
−0.189829 | + | 0.981817i | \(0.560793\pi\) | |||||||
\(930\) | 0.285954 | + | 187.589i | 0.000307477 | + | 0.201708i | ||||
\(931\) | 49.9790 | − | 507.445i | 0.0536831 | − | 0.545054i | ||||
\(932\) | 452.534 | + | 88.5812i | 0.485551 | + | 0.0950442i | ||||
\(933\) | −814.413 | − | 1523.66i | −0.872897 | − | 1.63307i | ||||
\(934\) | −111.676 | + | 1151.87i | −0.119568 | + | 1.23326i | ||||
\(935\) | −107.702 | − | 71.9639i | −0.115189 | − | 0.0769668i | ||||
\(936\) | −2857.39 | − | 852.530i | −3.05277 | − | 0.910823i | ||||
\(937\) | 934.399 | − | 624.345i | 0.997224 | − | 0.666324i | 0.0540205 | − | 0.998540i | \(-0.482796\pi\) |
0.943203 | + | 0.332216i | \(0.107796\pi\) | |||||||
\(938\) | 631.982 | + | 190.658i | 0.673754 | + | 0.203260i | ||||
\(939\) | −135.262 | − | 111.007i | −0.144049 | − | 0.118218i | ||||
\(940\) | 17.0499 | + | 167.862i | 0.0181382 | + | 0.178577i | ||||
\(941\) | 671.875 | − | 1256.99i | 0.714001 | − | 1.33580i | −0.218927 | − | 0.975741i | \(-0.570256\pi\) |
0.932929 | − | 0.360061i | \(-0.117244\pi\) | |||||||
\(942\) | 196.782 | − | 295.480i | 0.208898 | − | 0.313673i | ||||
\(943\) | −25.0308 | + | 60.4298i | −0.0265438 | + | 0.0640825i | ||||
\(944\) | −19.9324 | + | 67.1803i | −0.0211148 | + | 0.0711656i | ||||
\(945\) | −2391.16 | + | 990.451i | −2.53033 | + | 1.04810i | ||||
\(946\) | −418.479 | − | 82.5777i | −0.442367 | − | 0.0872914i | ||||
\(947\) | −527.514 | − | 1738.98i | −0.557037 | − | 1.83630i | −0.548205 | − | 0.836344i | \(-0.684689\pi\) |
−0.00883165 | − | 0.999961i | \(-0.502811\pi\) | |||||||
\(948\) | 1652.26 | − | 506.714i | 1.74289 | − | 0.534508i | ||||
\(949\) | 131.705 | + | 1337.22i | 0.138782 | + | 1.40908i | ||||
\(950\) | 611.889 | + | 500.606i | 0.644094 | + | 0.526953i | ||||
\(951\) | 262.277 | − | 1318.55i | 0.275790 | − | 1.38649i | ||||
\(952\) | −213.455 | − | 141.219i | −0.224218 | − | 0.148339i | ||||
\(953\) | −11.9534 | − | 60.0940i | −0.0125430 | − | 0.0630577i | 0.974007 | − | 0.226518i | \(-0.0727343\pi\) |
−0.986550 | + | 0.163461i | \(0.947734\pi\) | |||||||
\(954\) | 888.640 | + | 2913.46i | 0.931488 | + | 3.05394i | ||||
\(955\) | −186.255 | − | 56.4998i | −0.195031 | − | 0.0591621i | ||||
\(956\) | 385.494 | − | 161.055i | 0.403236 | − | 0.168468i | ||||
\(957\) | −2204.56 | + | 1809.24i | −2.30362 | + | 1.89053i | ||||
\(958\) | −234.174 | − | 96.5800i | −0.244440 | − | 0.100814i | ||||
\(959\) | −1976.25 | −2.06074 | ||||||||
\(960\) | −1077.85 | − | 434.954i | −1.12276 | − | 0.453077i | ||||
\(961\) | − | 934.327i | − | 0.972244i | ||||||
\(962\) | 150.663 | + | 62.1380i | 0.156615 | + | 0.0645925i | ||||
\(963\) | −136.873 | − | 166.781i | −0.142132 | − | 0.173189i | ||||
\(964\) | 1014.86 | + | 416.749i | 1.05276 | + | 0.432312i | ||||
\(965\) | 128.489 | − | 423.571i | 0.133149 | − | 0.438934i | ||||
\(966\) | −170.119 | − | 557.746i | −0.176107 | − | 0.577377i | ||||
\(967\) | −1114.90 | + | 221.767i | −1.15294 | + | 0.229335i | −0.734306 | − | 0.678818i | \(-0.762492\pi\) |
−0.418638 | + | 0.908153i | \(0.637492\pi\) | |||||||
\(968\) | −1.93865 | − | 0.376414i | −0.00200274 | − | 0.000388857i | ||||
\(969\) | −566.314 | − | 112.647i | −0.584431 | − | 0.116251i | ||||
\(970\) | −287.001 | − | 234.805i | −0.295878 | − | 0.242067i | ||||
\(971\) | −81.8111 | + | 8.05769i | −0.0842545 | + | 0.00829834i | −0.140057 | − | 0.990144i | \(-0.544728\pi\) |
0.0558020 | + | 0.998442i | \(0.482228\pi\) | |||||||
\(972\) | −2364.39 | + | 4456.08i | −2.43250 | + | 4.58444i | ||||
\(973\) | 782.368 | − | 237.329i | 0.804078 | − | 0.243915i | ||||
\(974\) | 1187.34 | + | 234.296i | 1.21904 | + | 0.240550i | ||||
\(975\) | 505.070 | + | 1219.35i | 0.518021 | + | 1.25061i | ||||
\(976\) | 44.4039 | + | 53.4385i | 0.0454958 | + | 0.0547526i | ||||
\(977\) | −685.241 | − | 283.836i | −0.701373 | − | 0.290518i | 0.00335650 | − | 0.999994i | \(-0.498932\pi\) |
−0.704729 | + | 0.709476i | \(0.748932\pi\) | |||||||
\(978\) | 636.450 | − | 955.666i | 0.650767 | − | 0.977163i | ||||
\(979\) | −321.470 | − | 171.829i | −0.328366 | − | 0.175515i | ||||
\(980\) | 156.000 | − | 191.273i | 0.159184 | − | 0.195176i | ||||
\(981\) | −100.347 | + | 122.273i | −0.102291 | + | 0.124642i | ||||
\(982\) | 1032.19 | + | 311.395i | 1.05111 | + | 0.317103i | ||||
\(983\) | 371.634 | + | 556.189i | 0.378061 | + | 0.565808i | 0.970892 | − | 0.239519i | \(-0.0769898\pi\) |
−0.592831 | + | 0.805327i | \(0.701990\pi\) | |||||||
\(984\) | −330.816 | + | 406.881i | −0.336196 | + | 0.413497i | ||||
\(985\) | 582.935 | − | 872.424i | 0.591813 | − | 0.885710i | ||||
\(986\) | −32.5112 | + | 335.331i | −0.0329728 | + | 0.340092i | ||||
\(987\) | −598.508 | + | 319.909i | −0.606391 | + | 0.324123i | ||||
\(988\) | 1198.21 | − | 805.911i | 1.21276 | − | 0.815700i | ||||
\(989\) | −114.249 | − | 11.2526i | −0.115520 | − | 0.0113777i | ||||
\(990\) | −2.68289 | − | 1760.00i | −0.00270998 | − | 1.77778i | ||||
\(991\) | −899.785 | + | 899.785i | −0.907956 | + | 0.907956i | −0.996107 | − | 0.0881508i | \(-0.971904\pi\) |
0.0881508 | + | 0.996107i | \(0.471904\pi\) | |||||||
\(992\) | −153.165 | − | 62.0796i | −0.154400 | − | 0.0625802i | ||||
\(993\) | 1146.39 | − | 1146.39i | 1.15447 | − | 1.15447i | ||||
\(994\) | −890.579 | + | 893.298i | −0.895954 | + | 0.898690i | ||||
\(995\) | 618.831 | + | 60.9496i | 0.621941 | + | 0.0612558i | ||||
\(996\) | 515.763 | − | 777.012i | 0.517834 | − | 0.780132i | ||||
\(997\) | −1405.66 | + | 751.341i | −1.40989 | + | 0.753602i | −0.988204 | − | 0.153141i | \(-0.951061\pi\) |
−0.421685 | + | 0.906742i | \(0.638561\pi\) | |||||||
\(998\) | 1120.75 | + | 1361.40i | 1.12300 | + | 1.36413i | ||||
\(999\) | 322.554 | − | 482.736i | 0.322877 | − | 0.483219i |
(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 | 128.3.l.a.3.20 | ✓ | 496 | |
128.43 | odd | 32 | inner | 128.3.l.a.43.20 | yes | 496 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.3.l.a.3.20 | ✓ | 496 | 1.1 | even | 1 | trivial | |
128.3.l.a.43.20 | yes | 496 | 128.43 | odd | 32 | inner |