Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,4,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), degree \(6\), 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: | \(4.48414516044\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 3.8 | ||
Character | \(\chi\) | \(=\) | 76.3 |
Dual form | 76.4.k.a.51.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.72722 | + | 2.23980i | −0.610666 | + | 0.791888i | ||||
\(3\) | −1.16156 | + | 0.422774i | −0.223543 | + | 0.0813629i | −0.451363 | − | 0.892340i | \(-0.649062\pi\) |
0.227821 | + | 0.973703i | \(0.426840\pi\) | |||||||
\(4\) | −2.03339 | − | 7.73727i | −0.254174 | − | 0.967159i | ||||
\(5\) | 0.336107 | − | 1.90616i | 0.0300623 | − | 0.170492i | −0.966080 | − | 0.258242i | \(-0.916857\pi\) |
0.996142 | + | 0.0877504i | \(0.0279678\pi\) | |||||||
\(6\) | 1.05935 | − | 3.33189i | 0.0720796 | − | 0.226706i | ||||
\(7\) | 25.4625 | − | 14.7008i | 1.37485 | − | 0.793769i | 0.383314 | − | 0.923618i | \(-0.374783\pi\) |
0.991534 | + | 0.129849i | \(0.0414493\pi\) | |||||||
\(8\) | 20.8420 | + | 8.80962i | 0.921097 | + | 0.389334i | ||||
\(9\) | −19.5127 | + | 16.3731i | −0.722693 | + | 0.606411i | ||||
\(10\) | 3.68888 | + | 4.04518i | 0.116653 | + | 0.127920i | ||||
\(11\) | 41.2989 | + | 23.8439i | 1.13201 | + | 0.653565i | 0.944439 | − | 0.328687i | \(-0.106606\pi\) |
0.187568 | + | 0.982252i | \(0.439939\pi\) | |||||||
\(12\) | 5.63302 | + | 8.12765i | 0.135509 | + | 0.195521i | ||||
\(13\) | 11.0458 | − | 30.3482i | 0.235659 | − | 0.647468i | −0.764337 | − | 0.644816i | \(-0.776934\pi\) |
0.999996 | − | 0.00265139i | \(-0.000843963\pi\) | |||||||
\(14\) | −11.0527 | + | 82.4225i | −0.210997 | + | 1.57345i | ||||
\(15\) | 0.415465 | + | 2.35622i | 0.00715150 | + | 0.0405582i | ||||
\(16\) | −55.7307 | + | 31.4658i | −0.870791 | + | 0.491653i | ||||
\(17\) | 24.4160 | + | 20.4875i | 0.348339 | + | 0.292291i | 0.800122 | − | 0.599837i | \(-0.204768\pi\) |
−0.451784 | + | 0.892127i | \(0.649212\pi\) | |||||||
\(18\) | −2.96962 | − | 71.9846i | −0.0388859 | − | 0.942607i | ||||
\(19\) | 81.1848 | + | 16.3714i | 0.980267 | + | 0.197677i | ||||
\(20\) | −15.4319 | + | 1.27541i | −0.172534 | + | 0.0142595i | ||||
\(21\) | −23.3612 | + | 27.8408i | −0.242754 | + | 0.289303i | ||||
\(22\) | −124.738 | + | 51.3173i | −1.20883 | + | 0.497313i | ||||
\(23\) | 97.1521 | − | 17.1305i | 0.880766 | − | 0.155303i | 0.285064 | − | 0.958508i | \(-0.407985\pi\) |
0.595702 | + | 0.803206i | \(0.296874\pi\) | |||||||
\(24\) | −27.9338 | − | 1.42145i | −0.237582 | − | 0.0120897i | ||||
\(25\) | 113.941 | + | 41.4712i | 0.911529 | + | 0.331769i | ||||
\(26\) | 48.8952 | + | 77.1587i | 0.368813 | + | 0.582002i | ||||
\(27\) | 32.4306 | − | 56.1714i | 0.231158 | − | 0.400377i | ||||
\(28\) | −165.519 | − | 167.118i | −1.11715 | − | 1.12794i | ||||
\(29\) | −124.128 | − | 147.930i | −0.794826 | − | 0.947237i | 0.204675 | − | 0.978830i | \(-0.434386\pi\) |
−0.999501 | + | 0.0315931i | \(0.989942\pi\) | |||||||
\(30\) | −5.99505 | − | 3.13916i | −0.0364847 | − | 0.0191043i | ||||
\(31\) | −137.601 | − | 238.331i | −0.797219 | − | 1.38082i | −0.921420 | − | 0.388567i | \(-0.872970\pi\) |
0.124201 | − | 0.992257i | \(-0.460363\pi\) | |||||||
\(32\) | 25.7824 | − | 179.174i | 0.142429 | − | 0.989805i | ||||
\(33\) | −58.0518 | − | 10.2361i | −0.306228 | − | 0.0539962i | ||||
\(34\) | −88.0598 | + | 19.3005i | −0.444180 | + | 0.0973531i | ||||
\(35\) | −19.4639 | − | 53.4767i | −0.0940001 | − | 0.258263i | ||||
\(36\) | 166.360 | + | 117.682i | 0.770186 | + | 0.544825i | ||||
\(37\) | 6.26769i | 0.0278487i | 0.999903 | + | 0.0139244i | \(0.00443240\pi\) | ||||
−0.999903 | + | 0.0139244i | \(0.995568\pi\) | |||||||
\(38\) | −176.893 | + | 153.561i | −0.755154 | + | 0.655547i | ||||
\(39\) | 39.9212i | 0.163911i | ||||||||
\(40\) | 23.7977 | − | 36.7673i | 0.0940687 | − | 0.145335i | ||||
\(41\) | 101.814 | + | 279.732i | 0.387822 | + | 1.06553i | 0.967980 | + | 0.251027i | \(0.0807684\pi\) |
−0.580158 | + | 0.814504i | \(0.697009\pi\) | |||||||
\(42\) | −22.0077 | − | 100.412i | −0.0808539 | − | 0.368901i | ||||
\(43\) | −396.570 | − | 69.9260i | −1.40643 | − | 0.247991i | −0.581645 | − | 0.813443i | \(-0.697591\pi\) |
−0.824782 | + | 0.565452i | \(0.808702\pi\) | |||||||
\(44\) | 100.510 | − | 368.025i | 0.344374 | − | 1.26095i | ||||
\(45\) | 24.6514 | + | 42.6975i | 0.0816625 | + | 0.141444i | ||||
\(46\) | −129.435 | + | 247.189i | −0.414872 | + | 0.792306i | ||||
\(47\) | 324.223 | + | 386.394i | 1.00623 | + | 1.19918i | 0.979893 | + | 0.199524i | \(0.0639394\pi\) |
0.0263357 | + | 0.999653i | \(0.491616\pi\) | |||||||
\(48\) | 51.4317 | − | 60.1109i | 0.154657 | − | 0.180755i | ||||
\(49\) | 260.727 | − | 451.593i | 0.760138 | − | 1.31660i | ||||
\(50\) | −289.689 | + | 183.575i | −0.819364 | + | 0.519229i | ||||
\(51\) | −37.0223 | − | 13.4750i | −0.101650 | − | 0.0369976i | ||||
\(52\) | −257.273 | − | 23.7549i | −0.686102 | − | 0.0633504i | ||||
\(53\) | −353.599 | + | 62.3490i | −0.916425 | + | 0.161591i | −0.611920 | − | 0.790920i | \(-0.709602\pi\) |
−0.304506 | + | 0.952511i | \(0.598491\pi\) | |||||||
\(54\) | 69.7976 | + | 169.658i | 0.175894 | + | 0.427548i | ||||
\(55\) | 59.3312 | − | 70.7081i | 0.145458 | − | 0.173351i | ||||
\(56\) | 660.200 | − | 82.0794i | 1.57541 | − | 0.195863i | ||||
\(57\) | −101.223 | + | 15.3064i | −0.235215 | + | 0.0355682i | ||||
\(58\) | 545.730 | − | 22.5133i | 1.23548 | − | 0.0509679i | ||||
\(59\) | 63.1932 | + | 53.0254i | 0.139442 | + | 0.117005i | 0.709841 | − | 0.704362i | \(-0.248767\pi\) |
−0.570399 | + | 0.821368i | \(0.693211\pi\) | |||||||
\(60\) | 17.3859 | − | 8.00567i | 0.0374085 | − | 0.0172255i | ||||
\(61\) | 27.0406 | + | 153.355i | 0.0567572 | + | 0.321886i | 0.999946 | − | 0.0103704i | \(-0.00330106\pi\) |
−0.943189 | + | 0.332257i | \(0.892190\pi\) | |||||||
\(62\) | 771.481 | + | 103.454i | 1.58029 | + | 0.211914i | ||||
\(63\) | −256.145 | + | 703.754i | −0.512243 | + | 1.40737i | ||||
\(64\) | 356.781 | + | 367.221i | 0.696838 | + | 0.717228i | ||||
\(65\) | −54.1359 | − | 31.2554i | −0.103304 | − | 0.0596424i | ||||
\(66\) | 123.195 | − | 112.344i | 0.229762 | − | 0.209524i | ||||
\(67\) | −443.536 | + | 372.171i | −0.808755 | + | 0.678626i | −0.950310 | − | 0.311305i | \(-0.899234\pi\) |
0.141556 | + | 0.989930i | \(0.454790\pi\) | |||||||
\(68\) | 108.870 | − | 230.572i | 0.194153 | − | 0.411191i | ||||
\(69\) | −105.606 | + | 60.9716i | −0.184253 | + | 0.106378i | ||||
\(70\) | 153.396 | + | 48.7710i | 0.261918 | + | 0.0832750i | ||||
\(71\) | 85.9158 | − | 487.253i | 0.143610 | − | 0.814454i | −0.824862 | − | 0.565334i | \(-0.808747\pi\) |
0.968473 | − | 0.249120i | \(-0.0801415\pi\) | |||||||
\(72\) | −550.926 | + | 169.349i | −0.901767 | + | 0.277195i | ||||
\(73\) | −680.544 | + | 247.698i | −1.09112 | + | 0.397134i | −0.824035 | − | 0.566539i | \(-0.808282\pi\) |
−0.267083 | + | 0.963674i | \(0.586060\pi\) | |||||||
\(74\) | −14.0384 | − | 10.8257i | −0.0220531 | − | 0.0170063i | ||||
\(75\) | −149.883 | −0.230759 | ||||||||
\(76\) | −38.4104 | − | 661.438i | −0.0579733 | − | 0.998318i | ||||
\(77\) | 1402.10 | 2.07512 | ||||||||
\(78\) | −89.4155 | − | 68.9529i | −0.129799 | − | 0.100095i | ||||
\(79\) | 114.264 | − | 41.5887i | 0.162730 | − | 0.0592290i | −0.259370 | − | 0.965778i | \(-0.583515\pi\) |
0.422101 | + | 0.906549i | \(0.361293\pi\) | |||||||
\(80\) | 41.2473 | + | 116.807i | 0.0576448 | + | 0.163243i | ||||
\(81\) | 105.503 | − | 598.339i | 0.144723 | − | 0.820767i | ||||
\(82\) | −802.398 | − | 255.117i | −1.08061 | − | 0.343572i | ||||
\(83\) | −310.472 | + | 179.251i | −0.410587 | + | 0.237052i | −0.691042 | − | 0.722815i | \(-0.742848\pi\) |
0.280455 | + | 0.959867i | \(0.409515\pi\) | |||||||
\(84\) | 262.914 | + | 124.141i | 0.341503 | + | 0.161248i | ||||
\(85\) | 47.2588 | − | 39.6548i | 0.0603051 | − | 0.0506020i | ||||
\(86\) | 841.586 | − | 767.459i | 1.05524 | − | 0.962293i | ||||
\(87\) | 206.723 | + | 119.352i | 0.254747 | + | 0.147078i | ||||
\(88\) | 650.697 | + | 860.783i | 0.788233 | + | 1.04273i | ||||
\(89\) | −2.05789 | + | 5.65402i | −0.00245097 | + | 0.00673398i | −0.940912 | − | 0.338651i | \(-0.890029\pi\) |
0.938461 | + | 0.345385i | \(0.112252\pi\) | |||||||
\(90\) | −138.212 | − | 18.5340i | −0.161876 | − | 0.0217073i | ||||
\(91\) | −164.888 | − | 935.126i | −0.189944 | − | 1.07723i | ||||
\(92\) | −330.092 | − | 716.859i | −0.374070 | − | 0.812367i | ||||
\(93\) | 260.592 | + | 218.662i | 0.290560 | + | 0.243809i | ||||
\(94\) | −1425.45 | + | 58.8048i | −1.56408 | + | 0.0645240i | ||||
\(95\) | 58.4933 | − | 149.249i | 0.0631715 | − | 0.161185i | ||||
\(96\) | 45.8021 | + | 219.022i | 0.0486944 | + | 0.232852i | ||||
\(97\) | −503.547 | + | 600.104i | −0.527087 | + | 0.628158i | −0.962241 | − | 0.272198i | \(-0.912249\pi\) |
0.435154 | + | 0.900356i | \(0.356694\pi\) | |||||||
\(98\) | 561.142 | + | 1363.98i | 0.578407 | + | 1.40595i | ||||
\(99\) | −1196.25 | + | 210.932i | −1.21442 | + | 0.214136i | ||||
\(100\) | 89.1869 | − | 965.920i | 0.0891869 | − | 0.965920i | ||||
\(101\) | −727.622 | − | 264.833i | −0.716843 | − | 0.260909i | −0.0422580 | − | 0.999107i | \(-0.513455\pi\) |
−0.674585 | + | 0.738197i | \(0.735677\pi\) | |||||||
\(102\) | 94.1271 | − | 59.6481i | 0.0913723 | − | 0.0579023i | ||||
\(103\) | 157.170 | − | 272.226i | 0.150353 | − | 0.260420i | −0.781004 | − | 0.624526i | \(-0.785292\pi\) |
0.931357 | + | 0.364106i | \(0.118626\pi\) | |||||||
\(104\) | 497.574 | − | 535.209i | 0.469146 | − | 0.504630i | ||||
\(105\) | 45.2171 | + | 53.8876i | 0.0420261 | + | 0.0500847i | ||||
\(106\) | 471.096 | − | 899.681i | 0.431668 | − | 0.824384i | ||||
\(107\) | 372.921 | + | 645.918i | 0.336931 | + | 0.583581i | 0.983854 | − | 0.178974i | \(-0.0572778\pi\) |
−0.646923 | + | 0.762555i | \(0.723944\pi\) | |||||||
\(108\) | −500.557 | − | 136.706i | −0.445982 | − | 0.121801i | ||||
\(109\) | −1128.95 | − | 199.065i | −0.992057 | − | 0.174926i | −0.346015 | − | 0.938229i | \(-0.612466\pi\) |
−0.646041 | + | 0.763302i | \(0.723577\pi\) | |||||||
\(110\) | 55.8937 | + | 255.019i | 0.0484477 | + | 0.221046i | ||||
\(111\) | −2.64982 | − | 7.28031i | −0.00226585 | − | 0.00622537i | ||||
\(112\) | −956.472 | + | 1620.48i | −0.806947 | + | 1.36715i | ||||
\(113\) | − | 1323.65i | − | 1.10193i | −0.834528 | − | 0.550965i | \(-0.814260\pi\) | ||
0.834528 | − | 0.550965i | \(-0.185740\pi\) | |||||||
\(114\) | 140.551 | − | 253.156i | 0.115472 | − | 0.207984i | ||||
\(115\) | − | 190.945i | − | 0.154832i | ||||||
\(116\) | −892.172 | + | 1261.21i | −0.714104 | + | 1.00949i | ||||
\(117\) | 281.360 | + | 773.031i | 0.222323 | + | 0.610827i | ||||
\(118\) | −227.915 | + | 49.9532i | −0.177807 | + | 0.0389709i | ||||
\(119\) | 922.876 | + | 162.728i | 0.710924 | + | 0.125355i | ||||
\(120\) | −12.0983 | + | 52.7685i | −0.00920345 | + | 0.0401423i | ||||
\(121\) | 471.565 | + | 816.775i | 0.354294 | + | 0.613655i | ||||
\(122\) | −390.189 | − | 204.313i | −0.289558 | − | 0.151620i | ||||
\(123\) | −236.527 | − | 281.881i | −0.173389 | − | 0.206637i | ||||
\(124\) | −1564.24 | + | 1549.27i | −1.13284 | + | 1.12201i | ||||
\(125\) | 238.320 | − | 412.782i | 0.170528 | − | 0.295363i | ||||
\(126\) | −1133.85 | − | 1789.25i | −0.801674 | − | 1.26507i | ||||
\(127\) | 1058.72 | + | 385.344i | 0.739737 | + | 0.269242i | 0.684281 | − | 0.729219i | \(-0.260116\pi\) |
0.0554564 | + | 0.998461i | \(0.482339\pi\) | |||||||
\(128\) | −1438.74 | + | 164.845i | −0.993500 | + | 0.113831i | ||||
\(129\) | 490.203 | − | 86.4361i | 0.334574 | − | 0.0589943i | ||||
\(130\) | 163.511 | − | 67.2685i | 0.110314 | − | 0.0453833i | ||||
\(131\) | 638.436 | − | 760.859i | 0.425805 | − | 0.507454i | −0.509902 | − | 0.860232i | \(-0.670318\pi\) |
0.935707 | + | 0.352778i | \(0.114763\pi\) | |||||||
\(132\) | 38.8425 | + | 469.976i | 0.0256121 | + | 0.309895i | ||||
\(133\) | 2307.84 | − | 776.625i | 1.50463 | − | 0.506330i | ||||
\(134\) | −67.5013 | − | 1636.25i | −0.0435166 | − | 1.05486i | ||||
\(135\) | −96.1714 | − | 80.6974i | −0.0613120 | − | 0.0514469i | ||||
\(136\) | 328.393 | + | 642.097i | 0.207055 | + | 0.404848i | ||||
\(137\) | 305.939 | + | 1735.06i | 0.190789 | + | 1.08202i | 0.918289 | + | 0.395911i | \(0.129571\pi\) |
−0.727500 | + | 0.686108i | \(0.759318\pi\) | |||||||
\(138\) | 45.8410 | − | 341.847i | 0.0282772 | − | 0.210869i | ||||
\(139\) | 663.520 | − | 1823.01i | 0.404885 | − | 1.11241i | −0.554959 | − | 0.831878i | \(-0.687266\pi\) |
0.959844 | − | 0.280535i | \(-0.0905118\pi\) | |||||||
\(140\) | −374.186 | + | 259.337i | −0.225889 | + | 0.156557i | ||||
\(141\) | −539.962 | − | 311.747i | −0.322503 | − | 0.186197i | ||||
\(142\) | 942.951 | + | 1034.03i | 0.557259 | + | 0.611083i | ||||
\(143\) | 1179.80 | − | 989.971i | 0.689930 | − | 0.578920i | ||||
\(144\) | 572.264 | − | 1526.47i | 0.331171 | − | 0.883372i | ||||
\(145\) | −323.698 | + | 186.887i | −0.185391 | + | 0.107035i | ||||
\(146\) | 620.659 | − | 1952.11i | 0.351823 | − | 1.10656i | ||||
\(147\) | −111.929 | + | 634.782i | −0.0628011 | + | 0.356163i | ||||
\(148\) | 48.4948 | − | 12.7447i | 0.0269341 | − | 0.00707841i | ||||
\(149\) | −3127.72 | + | 1138.40i | −1.71968 | + | 0.625913i | −0.997812 | − | 0.0661151i | \(-0.978940\pi\) |
−0.721870 | + | 0.692028i | \(0.756717\pi\) | |||||||
\(150\) | 258.881 | − | 335.707i | 0.140917 | − | 0.182736i | ||||
\(151\) | 2503.73 | 1.34934 | 0.674670 | − | 0.738119i | \(-0.264286\pi\) | ||||
0.674670 | + | 0.738119i | \(0.264286\pi\) | |||||||
\(152\) | 1547.83 | + | 1056.42i | 0.825959 | + | 0.563731i | ||||
\(153\) | −811.867 | −0.428990 | ||||||||
\(154\) | −2421.74 | + | 3140.42i | −1.26720 | + | 1.64326i | ||||
\(155\) | −500.546 | + | 182.184i | −0.259386 | + | 0.0944087i | ||||
\(156\) | 308.881 | − | 81.1754i | 0.158527 | − | 0.0416617i | ||||
\(157\) | 400.672 | − | 2272.32i | 0.203676 | − | 1.15510i | −0.695834 | − | 0.718203i | \(-0.744965\pi\) |
0.899510 | − | 0.436900i | \(-0.143924\pi\) | |||||||
\(158\) | −104.209 | + | 327.761i | −0.0524712 | + | 0.165033i | ||||
\(159\) | 384.367 | − | 221.915i | 0.191713 | − | 0.110685i | ||||
\(160\) | −332.868 | − | 109.367i | −0.164472 | − | 0.0540389i | ||||
\(161\) | 2221.91 | − | 1864.40i | 1.08764 | − | 0.912643i | ||||
\(162\) | 1157.93 | + | 1269.77i | 0.561578 | + | 0.615820i | ||||
\(163\) | −819.658 | − | 473.230i | −0.393868 | − | 0.227400i | 0.289967 | − | 0.957037i | \(-0.406356\pi\) |
−0.683835 | + | 0.729637i | \(0.739689\pi\) | |||||||
\(164\) | 1957.33 | − | 1356.57i | 0.931963 | − | 0.645915i | ||||
\(165\) | −39.0232 | + | 107.215i | −0.0184119 | + | 0.0505861i | ||||
\(166\) | 134.768 | − | 1005.00i | 0.0630124 | − | 0.469898i | ||||
\(167\) | 428.813 | + | 2431.92i | 0.198698 | + | 1.12687i | 0.907054 | + | 0.421015i | \(0.138326\pi\) |
−0.708356 | + | 0.705855i | \(0.750563\pi\) | |||||||
\(168\) | −732.162 | + | 374.455i | −0.336235 | + | 0.171963i | ||||
\(169\) | 883.996 | + | 741.761i | 0.402365 | + | 0.337624i | ||||
\(170\) | 7.19226 | + | 174.343i | 0.00324483 | + | 0.0786558i | ||||
\(171\) | −1852.19 | + | 1009.80i | −0.828306 | + | 0.451586i | ||||
\(172\) | 265.345 | + | 3210.56i | 0.117630 | + | 1.42327i | ||||
\(173\) | −2113.67 | + | 2518.98i | −0.928900 | + | 1.10702i | 0.0651261 | + | 0.997877i | \(0.479255\pi\) |
−0.994026 | + | 0.109143i | \(0.965189\pi\) | |||||||
\(174\) | −624.380 | + | 256.871i | −0.272035 | + | 0.111916i | ||||
\(175\) | 3510.89 | − | 619.065i | 1.51656 | − | 0.267411i | ||||
\(176\) | −3051.88 | − | 29.3365i | −1.30707 | − | 0.0125643i | ||||
\(177\) | −95.8205 | − | 34.8758i | −0.0406910 | − | 0.0148103i | ||||
\(178\) | −9.10941 | − | 14.3750i | −0.00383584 | − | 0.00605311i | ||||
\(179\) | −1118.95 | + | 1938.08i | −0.467232 | + | 0.809269i | −0.999299 | − | 0.0374329i | \(-0.988082\pi\) |
0.532067 | + | 0.846702i | \(0.321415\pi\) | |||||||
\(180\) | 280.236 | − | 277.555i | 0.116042 | − | 0.114932i | ||||
\(181\) | 594.350 | + | 708.319i | 0.244076 | + | 0.290878i | 0.874149 | − | 0.485657i | \(-0.161420\pi\) |
−0.630074 | + | 0.776535i | \(0.716975\pi\) | |||||||
\(182\) | 2379.29 | + | 1245.86i | 0.969037 | + | 0.507412i | ||||
\(183\) | −96.2437 | − | 166.699i | −0.0388773 | − | 0.0673374i | ||||
\(184\) | 2175.76 | + | 498.838i | 0.871735 | + | 0.199863i | ||||
\(185\) | 11.9472 | + | 2.10662i | 0.00474798 | + | 0.000837198i | ||||
\(186\) | −939.860 | + | 205.994i | −0.370505 | + | 0.0812053i | ||||
\(187\) | 519.853 | + | 1428.28i | 0.203291 | + | 0.558537i | ||||
\(188\) | 2330.36 | − | 3294.29i | 0.904037 | − | 1.27798i | ||||
\(189\) | − | 1907.02i | − | 0.733944i | ||||||
\(190\) | 233.256 | + | 388.799i | 0.0890639 | + | 0.148455i | ||||
\(191\) | 1699.64i | 0.643884i | 0.946759 | + | 0.321942i | \(0.104336\pi\) | ||||
−0.946759 | + | 0.321942i | \(0.895664\pi\) | |||||||
\(192\) | −569.675 | − | 275.712i | −0.214129 | − | 0.103634i | ||||
\(193\) | 132.285 | + | 363.451i | 0.0493373 | + | 0.135553i | 0.961914 | − | 0.273353i | \(-0.0881326\pi\) |
−0.912577 | + | 0.408906i | \(0.865910\pi\) | |||||||
\(194\) | −474.373 | − | 2164.36i | −0.175557 | − | 0.800989i | ||||
\(195\) | 76.0962 | + | 13.4178i | 0.0279454 | + | 0.00492754i | ||||
\(196\) | −4024.26 | − | 1099.05i | −1.46657 | − | 0.400529i | ||||
\(197\) | 122.404 | + | 212.009i | 0.0442685 | + | 0.0766754i | 0.887311 | − | 0.461172i | \(-0.152571\pi\) |
−0.843042 | + | 0.537848i | \(0.819238\pi\) | |||||||
\(198\) | 1593.75 | − | 3043.69i | 0.572036 | − | 1.09245i | ||||
\(199\) | −1828.47 | − | 2179.09i | −0.651342 | − | 0.776239i | 0.334774 | − | 0.942298i | \(-0.391340\pi\) |
−0.986116 | + | 0.166060i | \(0.946896\pi\) | |||||||
\(200\) | 2009.42 | + | 1868.12i | 0.710437 | + | 0.660481i | ||||
\(201\) | 357.850 | − | 619.815i | 0.125576 | − | 0.217504i | ||||
\(202\) | 1849.94 | − | 1172.30i | 0.644363 | − | 0.408331i | ||||
\(203\) | −5335.30 | − | 1941.89i | −1.84465 | − | 0.671399i | ||||
\(204\) | −28.9790 | + | 313.851i | −0.00994578 | + | 0.107716i | ||||
\(205\) | 567.434 | − | 100.054i | 0.193323 | − | 0.0340881i | ||||
\(206\) | 338.264 | + | 822.224i | 0.114407 | + | 0.278092i | ||||
\(207\) | −1615.22 | + | 1924.95i | −0.542346 | + | 0.646343i | ||||
\(208\) | 339.337 | + | 2038.89i | 0.113119 | + | 0.679672i | ||||
\(209\) | 2962.48 | + | 2611.89i | 0.980475 | + | 0.864440i | ||||
\(210\) | −198.798 | + | 8.20110i | −0.0653254 | + | 0.00269490i | ||||
\(211\) | −4029.03 | − | 3380.76i | −1.31455 | − | 1.10304i | −0.987430 | − | 0.158056i | \(-0.949477\pi\) |
−0.327120 | − | 0.944983i | \(-0.606078\pi\) | |||||||
\(212\) | 1201.42 | + | 2609.11i | 0.389215 | + | 0.845257i | ||||
\(213\) | 106.201 | + | 602.297i | 0.0341633 | + | 0.193750i | ||||
\(214\) | −2090.84 | − | 280.378i | −0.667883 | − | 0.0895618i | ||||
\(215\) | −266.580 | + | 732.423i | −0.0845610 | + | 0.232329i | ||||
\(216\) | 1170.77 | − | 885.025i | 0.368799 | − | 0.278788i | ||||
\(217\) | −7007.32 | − | 4045.68i | −2.19211 | − | 1.26562i | ||||
\(218\) | 2395.82 | − | 2184.80i | 0.744338 | − | 0.678776i | ||||
\(219\) | 685.773 | − | 575.432i | 0.211599 | − | 0.177553i | ||||
\(220\) | −667.731 | − | 315.284i | −0.204629 | − | 0.0966202i | ||||
\(221\) | 891.454 | − | 514.681i | 0.271338 | − | 0.156657i | ||||
\(222\) | 20.8833 | + | 6.63968i | 0.00631348 | + | 0.00200732i | ||||
\(223\) | −59.4531 | + | 337.175i | −0.0178532 | + | 0.101251i | −0.992432 | − | 0.122793i | \(-0.960815\pi\) |
0.974579 | + | 0.224044i | \(0.0719259\pi\) | |||||||
\(224\) | −1977.51 | − | 4941.24i | −0.589858 | − | 1.47389i | ||||
\(225\) | −2902.31 | + | 1056.36i | −0.859944 | + | 0.312994i | ||||
\(226\) | 2964.70 | + | 2286.23i | 0.872605 | + | 0.672911i | ||||
\(227\) | −3586.30 | −1.04860 | −0.524298 | − | 0.851535i | \(-0.675672\pi\) | ||||
−0.524298 | + | 0.851535i | \(0.675672\pi\) | |||||||
\(228\) | 324.255 | + | 752.062i | 0.0941855 | + | 0.218450i | ||||
\(229\) | 3991.02 | 1.15168 | 0.575839 | − | 0.817563i | \(-0.304676\pi\) | ||||
0.575839 | + | 0.817563i | \(0.304676\pi\) | |||||||
\(230\) | 427.679 | + | 329.805i | 0.122610 | + | 0.0945509i | ||||
\(231\) | −1628.62 | + | 592.771i | −0.463877 | + | 0.168837i | ||||
\(232\) | −1283.87 | − | 4176.68i | −0.363320 | − | 1.18195i | ||||
\(233\) | 823.532 | − | 4670.48i | 0.231551 | − | 1.31319i | −0.618206 | − | 0.786016i | \(-0.712140\pi\) |
0.849757 | − | 0.527175i | \(-0.176749\pi\) | |||||||
\(234\) | −2217.41 | − | 705.008i | −0.619472 | − | 0.196956i | ||||
\(235\) | 845.501 | − | 488.150i | 0.234700 | − | 0.135504i | ||||
\(236\) | 281.775 | − | 596.764i | 0.0777204 | − | 0.164602i | ||||
\(237\) | −115.142 | + | 96.6156i | −0.0315581 | + | 0.0264804i | ||||
\(238\) | −1958.49 | + | 1785.99i | −0.533404 | + | 0.486422i | ||||
\(239\) | −471.098 | − | 271.988i | −0.127501 | − | 0.0736128i | 0.434893 | − | 0.900482i | \(-0.356786\pi\) |
−0.562394 | + | 0.826869i | \(0.690120\pi\) | |||||||
\(240\) | −97.2943 | − | 118.241i | −0.0261680 | − | 0.0318017i | ||||
\(241\) | −2115.05 | + | 5811.07i | −0.565322 | + | 1.55321i | 0.246401 | + | 0.969168i | \(0.420752\pi\) |
−0.811723 | + | 0.584042i | \(0.801470\pi\) | |||||||
\(242\) | −2643.91 | − | 354.543i | −0.702301 | − | 0.0941772i | ||||
\(243\) | 434.515 | + | 2464.26i | 0.114708 | + | 0.650544i | ||||
\(244\) | 1131.56 | − | 521.050i | 0.296889 | − | 0.136708i | ||||
\(245\) | −773.176 | − | 648.771i | −0.201618 | − | 0.169177i | ||||
\(246\) | 1039.89 | − | 42.8992i | 0.269517 | − | 0.0111185i | ||||
\(247\) | 1393.60 | − | 2282.98i | 0.358998 | − | 0.588107i | ||||
\(248\) | −768.269 | − | 6179.52i | −0.196714 | − | 1.58226i | ||||
\(249\) | 284.849 | − | 339.470i | 0.0724963 | − | 0.0863978i | ||||
\(250\) | 512.917 | + | 1246.76i | 0.129759 | + | 0.315407i | ||||
\(251\) | −2385.99 | + | 420.714i | −0.600008 | + | 0.105798i | −0.465399 | − | 0.885101i | \(-0.654089\pi\) |
−0.134609 | + | 0.990899i | \(0.542978\pi\) | |||||||
\(252\) | 5965.97 | + | 550.860i | 1.49135 | + | 0.137702i | ||||
\(253\) | 4420.73 | + | 1609.02i | 1.09853 | + | 0.399834i | ||||
\(254\) | −2691.75 | + | 1705.75i | −0.664942 | + | 0.421372i | ||||
\(255\) | −38.1290 | + | 66.0413i | −0.00936364 | + | 0.0162183i | ||||
\(256\) | 2115.81 | − | 3507.21i | 0.516556 | − | 0.856254i | ||||
\(257\) | −2276.47 | − | 2712.99i | −0.552538 | − | 0.658490i | 0.415411 | − | 0.909634i | \(-0.363638\pi\) |
−0.967950 | + | 0.251144i | \(0.919193\pi\) | |||||||
\(258\) | −653.092 | + | 1247.25i | −0.157596 | + | 0.300971i | ||||
\(259\) | 92.1401 | + | 159.591i | 0.0221054 | + | 0.0382877i | ||||
\(260\) | −131.752 | + | 482.419i | −0.0314266 | + | 0.115071i | ||||
\(261\) | 4844.14 | + | 854.153i | 1.14883 | + | 0.202570i | ||||
\(262\) | 601.447 | + | 2744.14i | 0.141823 | + | 0.647075i | ||||
\(263\) | −1429.35 | − | 3927.11i | −0.335124 | − | 0.920746i | −0.986756 | − | 0.162211i | \(-0.948138\pi\) |
0.651632 | − | 0.758535i | \(-0.274085\pi\) | |||||||
\(264\) | −1119.74 | − | 724.755i | −0.261043 | − | 0.168961i | ||||
\(265\) | 694.972i | 0.161101i | ||||||||
\(266\) | −2246.68 | + | 6510.51i | −0.517869 | + | 1.50070i | ||||
\(267\) | − | 7.43751i | − | 0.00170475i | ||||||
\(268\) | 3781.47 | + | 2674.99i | 0.861903 | + | 0.609705i | ||||
\(269\) | 621.246 | + | 1706.86i | 0.140811 | + | 0.386874i | 0.989973 | − | 0.141258i | \(-0.0451148\pi\) |
−0.849162 | + | 0.528132i | \(0.822893\pi\) | |||||||
\(270\) | 346.855 | − | 76.0220i | 0.0781813 | − | 0.0171354i | ||||
\(271\) | 3166.81 | + | 558.394i | 0.709852 | + | 0.125166i | 0.516904 | − | 0.856043i | \(-0.327084\pi\) |
0.192947 | + | 0.981209i | \(0.438195\pi\) | |||||||
\(272\) | −2005.37 | − | 373.512i | −0.447036 | − | 0.0832628i | ||||
\(273\) | 586.874 | + | 1016.50i | 0.130107 | + | 0.225352i | ||||
\(274\) | −4414.62 | − | 2311.61i | −0.973346 | − | 0.509668i | ||||
\(275\) | 3716.80 | + | 4429.52i | 0.815025 | + | 0.971308i | ||||
\(276\) | 686.491 | + | 693.122i | 0.149717 | + | 0.151163i | ||||
\(277\) | 92.8629 | − | 160.843i | 0.0201429 | − | 0.0348886i | −0.855778 | − | 0.517343i | \(-0.826921\pi\) |
0.875921 | + | 0.482454i | \(0.160255\pi\) | |||||||
\(278\) | 2937.12 | + | 4634.89i | 0.633657 | + | 0.999937i | ||||
\(279\) | 6587.18 | + | 2397.54i | 1.41349 | + | 0.514469i | ||||
\(280\) | 65.4415 | − | 1286.03i | 0.0139674 | − | 0.274483i | ||||
\(281\) | 598.242 | − | 105.486i | 0.127004 | − | 0.0223942i | −0.109785 | − | 0.993955i | \(-0.535016\pi\) |
0.236789 | + | 0.971561i | \(0.423905\pi\) | |||||||
\(282\) | 1630.89 | − | 670.948i | 0.344389 | − | 0.141682i | ||||
\(283\) | −1615.53 | + | 1925.32i | −0.339341 | + | 0.404411i | −0.908546 | − | 0.417785i | \(-0.862807\pi\) |
0.569205 | + | 0.822196i | \(0.307251\pi\) | |||||||
\(284\) | −3944.70 | + | 326.021i | −0.824208 | + | 0.0681189i | ||||
\(285\) | −4.84517 | + | 198.091i | −0.00100703 | + | 0.0411716i | ||||
\(286\) | 179.553 | + | 4352.42i | 0.0371230 | + | 0.899874i | ||||
\(287\) | 6704.73 | + | 5625.93i | 1.37898 | + | 1.15710i | ||||
\(288\) | 2430.55 | + | 3918.31i | 0.497297 | + | 0.801696i | ||||
\(289\) | −676.728 | − | 3837.92i | −0.137742 | − | 0.781175i | ||||
\(290\) | 140.510 | − | 1047.81i | 0.0284518 | − | 0.212172i | ||||
\(291\) | 331.193 | − | 909.944i | 0.0667177 | − | 0.183305i | ||||
\(292\) | 3300.31 | + | 4761.88i | 0.661425 | + | 0.954343i | ||||
\(293\) | −6054.35 | − | 3495.48i | −1.20716 | − | 0.696956i | −0.245024 | − | 0.969517i | \(-0.578796\pi\) |
−0.962138 | + | 0.272561i | \(0.912129\pi\) | |||||||
\(294\) | −1228.46 | − | 1347.11i | −0.243690 | − | 0.267228i | ||||
\(295\) | 122.315 | − | 102.634i | 0.0241404 | − | 0.0202562i | ||||
\(296\) | −55.2160 | + | 130.631i | −0.0108424 | + | 0.0256514i | ||||
\(297\) | 2678.69 | − | 1546.54i | 0.523345 | − | 0.302153i | ||||
\(298\) | 2852.49 | − | 8971.72i | 0.554499 | − | 1.74402i | ||||
\(299\) | 553.246 | − | 3137.62i | 0.107007 | − | 0.606866i | ||||
\(300\) | 304.770 | + | 1159.68i | 0.0586529 | + | 0.223181i | ||||
\(301\) | −11125.6 | + | 4049.40i | −2.13047 | + | 0.775428i | ||||
\(302\) | −4324.50 | + | 5607.84i | −0.823997 | + | 1.06853i | ||||
\(303\) | 957.143 | 0.181473 | ||||||||
\(304\) | −5039.62 | + | 1642.15i | −0.950797 | + | 0.309816i | ||||
\(305\) | 301.407 | 0.0565853 | ||||||||
\(306\) | 1402.28 | − | 1818.42i | 0.261970 | − | 0.339712i | ||||
\(307\) | 8715.00 | − | 3172.00i | 1.62017 | − | 0.589693i | 0.636753 | − | 0.771068i | \(-0.280277\pi\) |
0.983414 | + | 0.181375i | \(0.0580547\pi\) | |||||||
\(308\) | −2851.01 | − | 10848.4i | −0.527440 | − | 2.00697i | ||||
\(309\) | −67.4723 | + | 382.654i | −0.0124219 | + | 0.0704480i | ||||
\(310\) | 456.500 | − | 1435.79i | 0.0836370 | − | 0.263057i | ||||
\(311\) | −5029.58 | + | 2903.83i | −0.917047 | + | 0.529457i | −0.882692 | − | 0.469952i | \(-0.844271\pi\) |
−0.0343551 | + | 0.999410i | \(0.510938\pi\) | |||||||
\(312\) | −351.691 | + | 832.040i | −0.0638159 | + | 0.150977i | ||||
\(313\) | −1015.69 | + | 852.266i | −0.183419 | + | 0.153907i | −0.729874 | − | 0.683581i | \(-0.760421\pi\) |
0.546455 | + | 0.837488i | \(0.315977\pi\) | |||||||
\(314\) | 4397.50 | + | 4822.24i | 0.790334 | + | 0.866671i | ||||
\(315\) | 1255.37 | + | 724.790i | 0.224547 | + | 0.129642i | ||||
\(316\) | −554.126 | − | 799.525i | −0.0986456 | − | 0.142332i | ||||
\(317\) | −2224.41 | + | 6111.51i | −0.394117 | + | 1.08283i | 0.570986 | + | 0.820960i | \(0.306561\pi\) |
−0.965104 | + | 0.261869i | \(0.915661\pi\) | |||||||
\(318\) | −166.845 | + | 1244.20i | −0.0294220 | + | 0.219407i | ||||
\(319\) | −1599.11 | − | 9069.03i | −0.280668 | − | 1.59175i | ||||
\(320\) | 819.898 | − | 556.656i | 0.143230 | − | 0.0972438i | ||||
\(321\) | −706.247 | − | 592.612i | −0.122800 | − | 0.103042i | ||||
\(322\) | 338.150 | + | 8196.86i | 0.0585228 | + | 1.41861i | ||||
\(323\) | 1646.80 | + | 2063.00i | 0.283686 | + | 0.355381i | ||||
\(324\) | −4844.04 | + | 400.349i | −0.830597 | + | 0.0686469i | ||||
\(325\) | 2517.15 | − | 2999.83i | 0.429620 | − | 0.512001i | ||||
\(326\) | 2475.67 | − | 1018.49i | 0.420597 | − | 0.173034i | ||||
\(327\) | 1395.51 | − | 246.066i | 0.235999 | − | 0.0416131i | ||||
\(328\) | −342.319 | + | 6727.12i | −0.0576262 | + | 1.13245i | ||||
\(329\) | 13935.8 | + | 5072.23i | 2.33528 | + | 0.849973i | ||||
\(330\) | −172.739 | − | 272.589i | −0.0288151 | − | 0.0454714i | ||||
\(331\) | 4648.41 | − | 8051.28i | 0.771902 | − | 1.33697i | −0.164617 | − | 0.986358i | \(-0.552639\pi\) |
0.936519 | − | 0.350617i | \(-0.114028\pi\) | |||||||
\(332\) | 2018.22 | + | 2037.72i | 0.333627 | + | 0.336850i | ||||
\(333\) | −102.622 | − | 122.300i | −0.0168878 | − | 0.0201261i | ||||
\(334\) | −6187.66 | − | 3240.01i | −1.01369 | − | 0.530795i | ||||
\(335\) | 560.341 | + | 970.540i | 0.0913872 | + | 0.158287i | ||||
\(336\) | 425.903 | − | 2286.66i | 0.0691515 | − | 0.371273i | ||||
\(337\) | 5374.94 | + | 947.746i | 0.868817 | + | 0.153196i | 0.590250 | − | 0.807221i | \(-0.299029\pi\) |
0.278568 | + | 0.960417i | \(0.410140\pi\) | |||||||
\(338\) | −3188.25 | + | 698.785i | −0.513071 | + | 0.112452i | ||||
\(339\) | 559.603 | + | 1537.50i | 0.0896562 | + | 0.246328i | ||||
\(340\) | −402.916 | − | 285.020i | −0.0642681 | − | 0.0454629i | ||||
\(341\) | − | 13123.8i | − | 2.08414i | ||||||
\(342\) | 937.401 | − | 5892.67i | 0.148213 | − | 0.931694i | ||||
\(343\) | − | 5246.85i | − | 0.825958i | ||||||
\(344\) | −7649.31 | − | 4951.03i | −1.19890 | − | 0.775993i | ||||
\(345\) | 80.7266 | + | 221.795i | 0.0125976 | + | 0.0346116i | ||||
\(346\) | −1991.21 | − | 9085.05i | −0.309388 | − | 1.41160i | ||||
\(347\) | −5773.90 | − | 1018.09i | −0.893254 | − | 0.157505i | −0.291864 | − | 0.956460i | \(-0.594275\pi\) |
−0.601391 | + | 0.798955i | \(0.705386\pi\) | |||||||
\(348\) | 503.107 | − | 1842.16i | 0.0774981 | − | 0.283765i | ||||
\(349\) | −1223.81 | − | 2119.70i | −0.187705 | − | 0.325114i | 0.756780 | − | 0.653670i | \(-0.226771\pi\) |
−0.944485 | + | 0.328556i | \(0.893438\pi\) | |||||||
\(350\) | −4677.52 | + | 8932.95i | −0.714354 | + | 1.36425i | ||||
\(351\) | −1346.48 | − | 1604.67i | −0.204757 | − | 0.244020i | ||||
\(352\) | 5336.99 | − | 6784.93i | 0.808132 | − | 1.02738i | ||||
\(353\) | −3829.22 | + | 6632.40i | −0.577362 | + | 1.00002i | 0.418419 | + | 0.908254i | \(0.362584\pi\) |
−0.995781 | + | 0.0917655i | \(0.970749\pi\) | |||||||
\(354\) | 243.618 | − | 154.380i | 0.0365768 | − | 0.0231786i | ||||
\(355\) | −899.904 | − | 327.538i | −0.134541 | − | 0.0489688i | ||||
\(356\) | 47.9311 | + | 4.42566i | 0.00713580 | + | 0.000658875i | ||||
\(357\) | −1140.77 | + | 201.149i | −0.169121 | + | 0.0298206i | ||||
\(358\) | −2408.23 | − | 5853.73i | −0.355528 | − | 0.864189i | ||||
\(359\) | 7369.36 | − | 8782.46i | 1.08340 | − | 1.29114i | 0.129315 | − | 0.991604i | \(-0.458722\pi\) |
0.954084 | − | 0.299540i | \(-0.0968333\pi\) | |||||||
\(360\) | 137.637 | + | 1107.07i | 0.0201503 | + | 0.162077i | ||||
\(361\) | 6322.95 | + | 2658.22i | 0.921848 | + | 0.387552i | ||||
\(362\) | −2613.07 | + | 107.798i | −0.379392 | + | 0.0156513i | ||||
\(363\) | −893.063 | − | 749.369i | −0.129128 | − | 0.108352i | ||||
\(364\) | −6900.04 | + | 3177.26i | −0.993572 | + | 0.457510i | ||||
\(365\) | 243.415 | + | 1380.48i | 0.0349067 | + | 0.197966i | ||||
\(366\) | 539.606 | + | 72.3601i | 0.0770647 | + | 0.0103342i | ||||
\(367\) | −4308.04 | + | 11836.3i | −0.612747 | + | 1.68351i | 0.111326 | + | 0.993784i | \(0.464490\pi\) |
−0.724073 | + | 0.689724i | \(0.757732\pi\) | |||||||
\(368\) | −4875.33 | + | 4011.66i | −0.690609 | + | 0.568267i | ||||
\(369\) | −6566.75 | − | 3791.31i | −0.926426 | − | 0.534872i | ||||
\(370\) | −25.3539 | + | 23.1208i | −0.00356240 | + | 0.00324862i | ||||
\(371\) | −8086.94 | + | 6785.75i | −1.13168 | + | 0.949592i | ||||
\(372\) | 1161.97 | − | 2460.89i | 0.161949 | − | 0.342988i | ||||
\(373\) | 7.47854 | − | 4.31774i | 0.00103813 | − | 0.000599367i | −0.499481 | − | 0.866325i | \(-0.666476\pi\) |
0.500519 | + | 0.865726i | \(0.333143\pi\) | |||||||
\(374\) | −4096.97 | − | 1302.60i | −0.566442 | − | 0.180096i | ||||
\(375\) | −102.310 | + | 580.227i | −0.0140887 | + | 0.0799008i | ||||
\(376\) | 3353.48 | + | 10909.5i | 0.459954 | + | 1.49632i | ||||
\(377\) | −5860.50 | + | 2133.05i | −0.800613 | + | 0.291399i | ||||
\(378\) | 4271.34 | + | 3293.85i | 0.581201 | + | 0.448195i | ||||
\(379\) | 1218.03 | 0.165081 | 0.0825407 | − | 0.996588i | \(-0.473697\pi\) | ||||
0.0825407 | + | 0.996588i | \(0.473697\pi\) | |||||||
\(380\) | −1273.72 | − | 149.098i | −0.171948 | − | 0.0201278i | ||||
\(381\) | −1392.69 | −0.187269 | ||||||||
\(382\) | −3806.86 | − | 2935.66i | −0.509884 | − | 0.393198i | ||||
\(383\) | −12022.5 | + | 4375.84i | −1.60397 | + | 0.583799i | −0.980236 | − | 0.197834i | \(-0.936609\pi\) |
−0.623739 | + | 0.781633i | \(0.714387\pi\) | |||||||
\(384\) | 1601.50 | − | 799.740i | 0.212828 | − | 0.106280i | ||||
\(385\) | 471.256 | − | 2672.62i | 0.0623829 | − | 0.353791i | ||||
\(386\) | −1042.54 | − | 331.469i | −0.137472 | − | 0.0437081i | ||||
\(387\) | 8883.06 | − | 5128.64i | 1.16680 | − | 0.673652i | ||||
\(388\) | 5667.07 | + | 2675.83i | 0.741500 | + | 0.350116i | ||||
\(389\) | −1635.90 | + | 1372.68i | −0.213222 | + | 0.178914i | −0.743143 | − | 0.669132i | \(-0.766666\pi\) |
0.529921 | + | 0.848047i | \(0.322221\pi\) | |||||||
\(390\) | −161.488 | + | 147.265i | −0.0209674 | + | 0.0191206i | ||||
\(391\) | 2723.03 | + | 1572.14i | 0.352198 | + | 0.203342i | ||||
\(392\) | 9412.45 | − | 7115.21i | 1.21276 | − | 0.916766i | ||||
\(393\) | −419.912 | + | 1153.70i | −0.0538976 | + | 0.148082i | ||||
\(394\) | −686.277 | − | 92.0284i | −0.0877516 | − | 0.0117673i | ||||
\(395\) | −40.8697 | − | 231.783i | −0.00520602 | − | 0.0295248i | ||||
\(396\) | 4064.48 | + | 8826.82i | 0.515777 | + | 1.12011i | ||||
\(397\) | 7255.60 | + | 6088.17i | 0.917249 | + | 0.769664i | 0.973484 | − | 0.228754i | \(-0.0734651\pi\) |
−0.0562349 | + | 0.998418i | \(0.517910\pi\) | |||||||
\(398\) | 8038.90 | − | 331.633i | 1.01245 | − | 0.0417670i | ||||
\(399\) | −2352.37 | + | 1877.79i | −0.295152 | + | 0.235607i | ||||
\(400\) | −7654.93 | + | 1274.03i | −0.956867 | + | 0.159254i | ||||
\(401\) | 1603.50 | − | 1910.98i | 0.199688 | − | 0.237979i | −0.656902 | − | 0.753976i | \(-0.728134\pi\) |
0.856591 | + | 0.515996i | \(0.172578\pi\) | |||||||
\(402\) | 770.172 | + | 1872.07i | 0.0955540 | + | 0.232265i | ||||
\(403\) | −8752.84 | + | 1543.36i | −1.08191 | + | 0.190770i | ||||
\(404\) | −569.544 | + | 6168.32i | −0.0701382 | + | 0.759617i | ||||
\(405\) | −1105.07 | − | 402.212i | −0.135584 | − | 0.0493484i | ||||
\(406\) | 13564.7 | − | 8595.91i | 1.65814 | − | 1.05076i | ||||
\(407\) | −149.446 | + | 258.849i | −0.0182009 | + | 0.0315249i | ||||
\(408\) | −652.910 | − | 606.999i | −0.0792252 | − | 0.0736542i | ||||
\(409\) | −8420.36 | − | 10035.0i | −1.01799 | − | 1.21320i | −0.976823 | − | 0.214047i | \(-0.931336\pi\) |
−0.0411712 | − | 0.999152i | \(-0.513109\pi\) | |||||||
\(410\) | −755.985 | + | 1443.75i | −0.0910621 | + | 0.173907i | ||||
\(411\) | −1088.91 | − | 1886.04i | −0.130686 | − | 0.226354i | ||||
\(412\) | −2425.87 | − | 662.523i | −0.290083 | − | 0.0792237i | ||||
\(413\) | 2388.58 | + | 421.170i | 0.284586 | + | 0.0501802i | ||||
\(414\) | −1521.64 | − | 6942.58i | −0.180639 | − | 0.824177i | ||||
\(415\) | 237.329 | + | 652.056i | 0.0280723 | + | 0.0771281i | ||||
\(416\) | −5152.82 | − | 2761.58i | −0.607302 | − | 0.325475i | ||||
\(417\) | 2398.05i | 0.281614i | ||||||||
\(418\) | −10967.0 | + | 2124.05i | −1.28328 | + | 0.248543i | ||||
\(419\) | 3383.31i | 0.394476i | 0.980356 | + | 0.197238i | \(0.0631971\pi\) | ||||
−0.980356 | + | 0.197238i | \(0.936803\pi\) | |||||||
\(420\) | 324.999 | − | 459.431i | 0.0377579 | − | 0.0533761i | ||||
\(421\) | −4202.36 | − | 11545.9i | −0.486485 | − | 1.33661i | −0.903843 | − | 0.427865i | \(-0.859266\pi\) |
0.417357 | − | 0.908742i | \(-0.362956\pi\) | |||||||
\(422\) | 14531.3 | − | 3184.89i | 1.67623 | − | 0.367388i | ||||
\(423\) | −12652.9 | − | 2231.05i | −1.45439 | − | 0.256448i | ||||
\(424\) | −7918.99 | − | 1815.59i | −0.907029 | − | 0.207955i | ||||
\(425\) | 1932.35 | + | 3346.93i | 0.220548 | + | 0.381999i | ||||
\(426\) | −1532.46 | − | 802.433i | −0.174290 | − | 0.0912629i | ||||
\(427\) | 2942.96 | + | 3507.28i | 0.333536 | + | 0.397493i | ||||
\(428\) | 4239.34 | − | 4198.79i | 0.478777 | − | 0.474197i | ||||
\(429\) | −951.878 | + | 1648.70i | −0.107126 | + | 0.185548i | ||||
\(430\) | −1180.04 | − | 1862.14i | −0.132340 | − | 0.208839i | ||||
\(431\) | 834.694 | + | 303.804i | 0.0932849 | + | 0.0339529i | 0.388241 | − | 0.921558i | \(-0.373083\pi\) |
−0.294956 | + | 0.955511i | \(0.595305\pi\) | |||||||
\(432\) | −39.9011 | + | 4150.92i | −0.00444385 | + | 0.462294i | ||||
\(433\) | 13903.8 | − | 2451.61i | 1.54313 | − | 0.272095i | 0.663652 | − | 0.748042i | \(-0.269006\pi\) |
0.879474 | + | 0.475947i | \(0.157895\pi\) | |||||||
\(434\) | 21164.7 | − | 8707.19i | 2.34087 | − | 0.963038i | ||||
\(435\) | 296.984 | − | 353.932i | 0.0327340 | − | 0.0390109i | ||||
\(436\) | 755.383 | + | 9139.80i | 0.0829732 | + | 1.00394i | ||||
\(437\) | 8167.73 | + | 199.777i | 0.894086 | + | 0.0218688i | ||||
\(438\) | 104.367 | + | 2529.89i | 0.0113855 | + | 0.275989i | ||||
\(439\) | 1350.81 | + | 1133.46i | 0.146858 | + | 0.123228i | 0.713257 | − | 0.700903i | \(-0.247219\pi\) |
−0.566399 | + | 0.824131i | \(0.691664\pi\) | |||||||
\(440\) | 1859.49 | − | 951.016i | 0.201473 | − | 0.103041i | ||||
\(441\) | 2306.48 | + | 13080.7i | 0.249053 | + | 1.41245i | ||||
\(442\) | −386.960 | + | 2885.65i | −0.0416421 | + | 0.310534i | ||||
\(443\) | 4365.05 | − | 11992.9i | 0.468149 | − | 1.28623i | −0.451073 | − | 0.892487i | \(-0.648959\pi\) |
0.919222 | − | 0.393741i | \(-0.128819\pi\) | |||||||
\(444\) | −50.9416 | + | 35.3060i | −0.00544500 | + | 0.00377376i | ||||
\(445\) | 10.0858 | + | 5.82303i | 0.00107441 | + | 0.000620310i | ||||
\(446\) | −652.515 | − | 715.540i | −0.0692769 | − | 0.0759682i | ||||
\(447\) | 3151.75 | − | 2644.63i | 0.333496 | − | 0.279837i | ||||
\(448\) | 14483.0 | + | 4105.41i | 1.52736 | + | 0.432951i | ||||
\(449\) | −9903.82 | + | 5717.97i | −1.04096 | + | 0.600998i | −0.920105 | − | 0.391673i | \(-0.871897\pi\) |
−0.120854 | + | 0.992670i | \(0.538563\pi\) | |||||||
\(450\) | 2646.92 | − | 8325.16i | 0.277283 | − | 0.872115i | ||||
\(451\) | −2465.10 | + | 13980.3i | −0.257377 | + | 1.45966i | ||||
\(452\) | −10241.4 | + | 2691.49i | −1.06574 | + | 0.280082i | ||||
\(453\) | −2908.23 | + | 1058.51i | −0.301635 | + | 0.109786i | ||||
\(454\) | 6194.35 | − | 8032.59i | 0.640342 | − | 0.830371i | ||||
\(455\) | −1837.92 | −0.189369 | ||||||||
\(456\) | −2244.53 | − | 572.715i | −0.230504 | − | 0.0588155i | ||||
\(457\) | 78.2260 | 0.00800713 | 0.00400357 | − | 0.999992i | \(-0.498726\pi\) | ||||
0.00400357 | + | 0.999992i | \(0.498726\pi\) | |||||||
\(458\) | −6893.39 | + | 8939.08i | −0.703290 | + | 0.912000i | ||||
\(459\) | 1942.63 | − | 707.061i | 0.197548 | − | 0.0719015i | ||||
\(460\) | −1477.39 | + | 388.266i | −0.149747 | + | 0.0393543i | ||||
\(461\) | 747.584 | − | 4239.76i | 0.0755281 | − | 0.428341i | −0.923473 | − | 0.383663i | \(-0.874663\pi\) |
0.999001 | − | 0.0446784i | \(-0.0142263\pi\) | |||||||
\(462\) | 1485.31 | − | 4671.64i | 0.149574 | − | 0.470442i | ||||
\(463\) | −14002.3 | + | 8084.21i | −1.40549 | + | 0.811458i | −0.994949 | − | 0.100386i | \(-0.967992\pi\) |
−0.410538 | + | 0.911844i | \(0.634659\pi\) | |||||||
\(464\) | 11572.4 | + | 4338.45i | 1.15784 | + | 0.434068i | ||||
\(465\) | 504.392 | − | 423.235i | 0.0503024 | − | 0.0422088i | ||||
\(466\) | 9038.51 | + | 9911.52i | 0.898500 | + | 0.985284i | ||||
\(467\) | −980.223 | − | 565.932i | −0.0971292 | − | 0.0560776i | 0.450649 | − | 0.892701i | \(-0.351193\pi\) |
−0.547778 | + | 0.836624i | \(0.684526\pi\) | |||||||
\(468\) | 5409.03 | − | 3748.83i | 0.534258 | − | 0.370277i | ||||
\(469\) | −5822.34 | + | 15996.8i | −0.573243 | + | 1.57497i | ||||
\(470\) | −367.013 | + | 2736.90i | −0.0360192 | + | 0.268604i | ||||
\(471\) | 495.274 | + | 2808.84i | 0.0484523 | + | 0.274786i | ||||
\(472\) | 849.942 | + | 1661.87i | 0.0828850 | + | 0.162063i | ||||
\(473\) | −14710.6 | − | 12343.6i | −1.43001 | − | 1.19992i | ||||
\(474\) | −17.5233 | − | 424.772i | −0.00169804 | − | 0.0411612i | ||||
\(475\) | 8571.35 | + | 5232.21i | 0.827959 | + | 0.505411i | ||||
\(476\) | −617.497 | − | 7471.43i | −0.0594599 | − | 0.719438i | ||||
\(477\) | 5878.83 | − | 7006.11i | 0.564304 | − | 0.672511i | ||||
\(478\) | 1422.89 | − | 585.378i | 0.136154 | − | 0.0560138i | ||||
\(479\) | 6810.11 | − | 1200.81i | 0.649608 | − | 0.114543i | 0.160872 | − | 0.986975i | \(-0.448569\pi\) |
0.488736 | + | 0.872432i | \(0.337458\pi\) | |||||||
\(480\) | 432.884 | − | 13.6914i | 0.0411633 | − | 0.00130193i | ||||
\(481\) | 190.213 | + | 69.2320i | 0.0180311 | + | 0.00656280i | ||||
\(482\) | −9362.44 | − | 14774.3i | −0.884746 | − | 1.39616i | ||||
\(483\) | −1792.66 | + | 3104.98i | −0.168880 | + | 0.292508i | ||||
\(484\) | 5360.73 | − | 5309.45i | 0.503449 | − | 0.498633i | ||||
\(485\) | 974.648 | + | 1161.54i | 0.0912505 | + | 0.108748i | ||||
\(486\) | −6269.94 | − | 3283.10i | −0.585206 | − | 0.306429i | ||||
\(487\) | −6941.50 | − | 12023.0i | −0.645892 | − | 1.11872i | −0.984095 | − | 0.177644i | \(-0.943152\pi\) |
0.338203 | − | 0.941073i | \(-0.390181\pi\) | |||||||
\(488\) | −787.416 | + | 3434.44i | −0.0730423 | + | 0.318586i | ||||
\(489\) | 1152.15 | + | 203.155i | 0.106548 | + | 0.0187873i | ||||
\(490\) | 2788.57 | − | 611.183i | 0.257091 | − | 0.0563478i | ||||
\(491\) | 213.036 | + | 585.313i | 0.0195809 | + | 0.0537979i | 0.949098 | − | 0.314981i | \(-0.101998\pi\) |
−0.929517 | + | 0.368779i | \(0.879776\pi\) | |||||||
\(492\) | −1700.04 | + | 2403.24i | −0.155780 | + | 0.220217i | ||||
\(493\) | − | 6154.92i | − | 0.562279i | ||||||
\(494\) | 2706.35 | + | 7064.60i | 0.246487 | + | 0.643424i | ||||
\(495\) | 2351.14i | 0.213487i | ||||||||
\(496\) | 15167.8 | + | 8952.65i | 1.37310 | + | 0.810455i | ||||
\(497\) | −4975.37 | − | 13669.7i | −0.449046 | − | 1.23374i | ||||
\(498\) | 268.346 | + | 1224.35i | 0.0241463 | + | 0.110169i | ||||
\(499\) | 18685.4 | + | 3294.75i | 1.67630 | + | 0.295577i | 0.929322 | − | 0.369269i | \(-0.120392\pi\) |
0.746980 | + | 0.664847i | \(0.231503\pi\) | |||||||
\(500\) | −3678.40 | − | 1004.60i | −0.329006 | − | 0.0898540i | ||||
\(501\) | −1526.24 | − | 2643.53i | −0.136103 | − | 0.235737i | ||||
\(502\) | 3178.82 | − | 6070.79i | 0.282625 | − | 0.539746i | ||||
\(503\) | −6030.35 | − | 7186.70i | −0.534553 | − | 0.637055i | 0.429404 | − | 0.903112i | \(-0.358724\pi\) |
−0.963957 | + | 0.266057i | \(0.914279\pi\) | |||||||
\(504\) | −11538.4 | + | 12411.1i | −1.01976 | + | 1.09689i | ||||
\(505\) | −749.373 | + | 1297.95i | −0.0660330 | + | 0.114372i | ||||
\(506\) | −11239.5 | + | 7122.42i | −0.987461 | + | 0.625751i | ||||
\(507\) | −1340.41 | − | 487.870i | −0.117416 | − | 0.0427359i | ||||
\(508\) | 828.712 | − | 8975.19i | 0.0723783 | − | 0.783877i | ||||
\(509\) | 4233.47 | − | 746.475i | 0.368655 | − | 0.0650038i | 0.0137481 | − | 0.999905i | \(-0.495624\pi\) |
0.354907 | + | 0.934902i | \(0.384513\pi\) | |||||||
\(510\) | −82.0619 | − | 199.469i | −0.00712502 | − | 0.0173189i | ||||
\(511\) | −13687.0 | + | 16311.5i | −1.18489 | + | 1.41209i | ||||
\(512\) | 4200.97 | + | 10796.7i | 0.362614 | + | 0.931939i | ||||
\(513\) | 3552.47 | − | 4029.33i | 0.305742 | − | 0.346782i | ||||
\(514\) | 10008.5 | − | 412.887i | 0.858867 | − | 0.0354313i | ||||
\(515\) | −466.080 | − | 391.088i | −0.0398795 | − | 0.0334629i | ||||
\(516\) | −1665.55 | − | 3617.08i | −0.142097 | − | 0.308591i | ||||
\(517\) | 4176.90 | + | 23688.4i | 0.355319 | + | 2.01511i | ||||
\(518\) | −516.599 | − | 69.2749i | −0.0438187 | − | 0.00587599i | ||||
\(519\) | 1390.20 | − | 3819.56i | 0.117578 | − | 0.323044i | ||||
\(520\) | −852.955 | − | 1128.34i | −0.0719319 | − | 0.0951560i | ||||
\(521\) | 9884.40 | + | 5706.76i | 0.831177 | + | 0.479880i | 0.854256 | − | 0.519853i | \(-0.174013\pi\) |
−0.0230783 | + | 0.999734i | \(0.507347\pi\) | |||||||
\(522\) | −10280.1 | + | 9374.58i | −0.861965 | + | 0.786043i | ||||
\(523\) | 820.608 | − | 688.572i | 0.0686093 | − | 0.0575701i | −0.607838 | − | 0.794061i | \(-0.707963\pi\) |
0.676447 | + | 0.736491i | \(0.263519\pi\) | |||||||
\(524\) | −7185.16 | − | 3392.63i | −0.599017 | − | 0.282839i | ||||
\(525\) | −3816.39 | + | 2203.39i | −0.317259 | + | 0.183169i | ||||
\(526\) | 11264.8 | + | 3581.55i | 0.933777 | + | 0.296888i | ||||
\(527\) | 1523.15 | − | 8638.19i | 0.125900 | − | 0.714014i | ||||
\(528\) | 3557.35 | − | 1256.18i | 0.293208 | − | 0.103538i | ||||
\(529\) | −2288.16 | + | 832.821i | −0.188063 | + | 0.0684492i | ||||
\(530\) | −1556.60 | − | 1200.37i | −0.127574 | − | 0.0983789i | ||||
\(531\) | −2101.26 | −0.171727 | ||||||||
\(532\) | −10701.7 | − | 16277.2i | −0.872138 | − | 1.32652i | ||||
\(533\) | 9613.98 | 0.781291 | ||||||||
\(534\) | 16.6585 | + | 12.8463i | 0.00134997 | + | 0.00104103i | ||||
\(535\) | 1356.56 | − | 493.749i | 0.109625 | − | 0.0399002i | ||||
\(536\) | −12522.9 | + | 3849.42i | −1.00915 | + | 0.310204i | ||||
\(537\) | 480.362 | − | 2724.27i | 0.0386018 | − | 0.218921i | ||||
\(538\) | −4896.05 | − | 1556.66i | −0.392349 | − | 0.124745i | ||||
\(539\) | 21535.5 | − | 12433.5i | 1.72096 | − | 0.993599i | ||||
\(540\) | −428.823 | + | 908.193i | −0.0341734 | + | 0.0723748i | ||||
\(541\) | −5249.66 | + | 4404.99i | −0.417191 | + | 0.350065i | −0.827093 | − | 0.562064i | \(-0.810007\pi\) |
0.409902 | + | 0.912130i | \(0.365563\pi\) | |||||||
\(542\) | −6720.48 | + | 6128.54i | −0.532600 | + | 0.485689i | ||||
\(543\) | −989.833 | − | 571.481i | −0.0782280 | − | 0.0451650i | ||||
\(544\) | 4300.32 | − | 3846.50i | 0.338924 | − | 0.303157i | ||||
\(545\) | −758.899 | + | 2085.06i | −0.0596471 | + | 0.163879i | ||||
\(546\) | −3290.41 | − | 441.237i | −0.257906 | − | 0.0345846i | ||||
\(547\) | 2190.71 | + | 12424.1i | 0.171239 | + | 0.971146i | 0.942396 | + | 0.334500i | \(0.108567\pi\) |
−0.771157 | + | 0.636646i | \(0.780321\pi\) | |||||||
\(548\) | 12802.6 | − | 5895.19i | 0.997990 | − | 0.459544i | ||||
\(549\) | −3038.53 | − | 2549.63i | −0.236214 | − | 0.198207i | ||||
\(550\) | −16341.0 | + | 674.123i | −1.26688 | + | 0.0522631i | ||||
\(551\) | −7655.48 | − | 14041.8i | −0.591895 | − | 1.08566i | ||||
\(552\) | −2738.18 | + | 340.424i | −0.211131 | + | 0.0262489i | ||||
\(553\) | 2298.06 | − | 2738.72i | 0.176715 | − | 0.210601i | ||||
\(554\) | 199.861 | + | 485.806i | 0.0153272 | + | 0.0372562i | ||||
\(555\) | −14.7681 | + | 2.60401i | −0.00112949 | + | 0.000199160i | ||||
\(556\) | −15454.3 | − | 1426.95i | −1.17879 | − | 0.108842i | ||||
\(557\) | 13203.6 | + | 4805.72i | 1.00441 | + | 0.365575i | 0.791283 | − | 0.611450i | \(-0.209414\pi\) |
0.213125 | + | 0.977025i | \(0.431636\pi\) | |||||||
\(558\) | −16747.6 | + | 10612.9i | −1.27057 | + | 0.805159i | ||||
\(559\) | −6502.58 | + | 11262.8i | −0.492003 | + | 0.852175i | ||||
\(560\) | 2767.42 | + | 2367.84i | 0.208830 | + | 0.178678i | ||||
\(561\) | −1207.68 | − | 1439.26i | −0.0908883 | − | 0.108317i | ||||
\(562\) | −797.030 | + | 1522.14i | −0.0598233 | + | 0.114248i | ||||
\(563\) | 9346.34 | + | 16188.3i | 0.699647 | + | 1.21182i | 0.968589 | + | 0.248668i | \(0.0799928\pi\) |
−0.268942 | + | 0.963156i | \(0.586674\pi\) | |||||||
\(564\) | −1314.12 | + | 4811.73i | −0.0981106 | + | 0.359238i | ||||
\(565\) | −2523.08 | − | 444.887i | −0.187870 | − | 0.0331266i | ||||
\(566\) | −1521.93 | − | 6943.93i | −0.113024 | − | 0.515680i | ||||
\(567\) | −6109.69 | − | 16786.2i | −0.452527 | − | 1.24331i | ||||
\(568\) | 6083.17 | − | 9398.45i | 0.449374 | − | 0.694279i | ||||
\(569\) | − | 15132.3i | − | 1.11490i | −0.830210 | − | 0.557451i | \(-0.811779\pi\) | ||
0.830210 | − | 0.557451i | \(-0.188221\pi\) | |||||||
\(570\) | −435.315 | − | 353.000i | −0.0319883 | − | 0.0259395i | ||||
\(571\) | − | 11587.9i | − | 0.849279i | −0.905363 | − | 0.424639i | \(-0.860401\pi\) | ||
0.905363 | − | 0.424639i | \(-0.139599\pi\) | |||||||
\(572\) | −10058.7 | − | 7115.45i | −0.735269 | − | 0.520125i | ||||
\(573\) | −718.564 | − | 1974.24i | −0.0523882 | − | 0.143935i | ||||
\(574\) | −24181.5 | + | 5299.98i | −1.75839 | + | 0.385395i | ||||
\(575\) | 11780.0 | + | 2077.14i | 0.854368 | + | 0.150648i | ||||
\(576\) | −12974.3 | − | 1323.86i | −0.938536 | − | 0.0957652i | ||||
\(577\) | −8939.01 | − | 15482.8i | −0.644949 | − | 1.11708i | −0.984313 | − | 0.176430i | \(-0.943545\pi\) |
0.339364 | − | 0.940655i | \(-0.389788\pi\) | |||||||
\(578\) | 9765.02 | + | 5113.21i | 0.702718 | + | 0.367961i | ||||
\(579\) | −307.315 | − | 366.244i | −0.0220580 | − | 0.0262877i | ||||
\(580\) | 2104.20 | + | 2124.52i | 0.150642 | + | 0.152097i | ||||
\(581\) | −5270.26 | + | 9128.36i | −0.376329 | + | 0.651822i | ||||
\(582\) | 1466.05 | + | 2313.48i | 0.104415 | + | 0.164771i | ||||
\(583\) | −16089.9 | − | 5856.24i | −1.14301 | − | 0.416022i | ||||
\(584\) | −16366.0 | − | 832.807i | −1.15964 | − | 0.0590100i | ||||
\(585\) | 1568.09 | − | 276.496i | 0.110825 | − | 0.0195414i | ||||
\(586\) | 18286.4 | − | 7523.03i | 1.28908 | − | 0.530330i | ||||
\(587\) | 1624.98 | − | 1936.57i | 0.114259 | − | 0.136169i | −0.705883 | − | 0.708328i | \(-0.749450\pi\) |
0.820142 | + | 0.572160i | \(0.193894\pi\) | |||||||
\(588\) | 5139.07 | − | 424.733i | 0.360428 | − | 0.0297886i | ||||
\(589\) | −7269.26 | − | 21601.6i | −0.508531 | − | 1.51117i | ||||
\(590\) | 18.6149 | + | 451.232i | 0.00129892 | + | 0.0314863i | ||||
\(591\) | −231.811 | − | 194.513i | −0.0161344 | − | 0.0135384i | ||||
\(592\) | −197.218 | − | 349.303i | −0.0136919 | − | 0.0242504i | ||||
\(593\) | 4496.71 | + | 25502.1i | 0.311396 | + | 1.76601i | 0.591754 | + | 0.806118i | \(0.298436\pi\) |
−0.280358 | + | 0.959895i | \(0.590453\pi\) | |||||||
\(594\) | −1162.76 | + | 8670.95i | −0.0803174 | + | 0.598945i | ||||
\(595\) | 620.371 | − | 1704.46i | 0.0427441 | − | 0.117438i | ||||
\(596\) | 15167.9 | + | 21885.2i | 1.04246 | + | 1.50411i | ||||
\(597\) | 3045.15 | + | 1758.12i | 0.208760 | + | 0.120527i | ||||
\(598\) | 6072.04 | + | 6658.53i | 0.415225 | + | 0.455330i | ||||
\(599\) | 16025.2 | − | 13446.7i | 1.09311 | − | 0.917227i | 0.0961664 | − | 0.995365i | \(-0.469342\pi\) |
0.996943 | + | 0.0781380i | \(0.0248975\pi\) | |||||||
\(600\) | −3123.86 | − | 1320.41i | −0.212552 | − | 0.0898424i | ||||
\(601\) | −16756.8 | + | 9674.55i | −1.13731 | + | 0.656627i | −0.945763 | − | 0.324856i | \(-0.894684\pi\) |
−0.191548 | + | 0.981483i | \(0.561351\pi\) | |||||||
\(602\) | 10146.6 | − | 31913.4i | 0.686954 | − | 2.16062i | ||||
\(603\) | 2561.00 | − | 14524.1i | 0.172955 | − | 0.980876i | ||||
\(604\) | −5091.05 | − | 19372.0i | −0.342967 | − | 1.30503i | ||||
\(605\) | 1715.40 | − | 624.354i | 0.115274 | − | 0.0419564i | ||||
\(606\) | −1653.20 | + | 2143.81i | −0.110820 | + | 0.143707i | ||||
\(607\) | −1727.60 | −0.115521 | −0.0577603 | − | 0.998330i | \(-0.518396\pi\) | ||||
−0.0577603 | + | 0.998330i | \(0.518396\pi\) | |||||||
\(608\) | 5026.47 | − | 14124.1i | 0.335280 | − | 0.942119i | ||||
\(609\) | 7018.26 | 0.466985 | ||||||||
\(610\) | −520.598 | + | 675.091i | −0.0345547 | + | 0.0448092i | ||||
\(611\) | 15307.7 | − | 5571.54i | 1.01356 | − | 0.368904i | ||||
\(612\) | 1650.84 | + | 6281.63i | 0.109038 | + | 0.414902i | ||||
\(613\) | −240.687 | + | 1365.00i | −0.0158585 | + | 0.0899379i | −0.991710 | − | 0.128498i | \(-0.958984\pi\) |
0.975851 | + | 0.218436i | \(0.0700955\pi\) | |||||||
\(614\) | −7948.12 | + | 24998.6i | −0.522411 | + | 1.64310i | ||||
\(615\) | −616.809 | + | 356.115i | −0.0404425 | + | 0.0233495i | ||||
\(616\) | 29222.6 | + | 12352.0i | 1.91138 | + | 0.807914i | ||||
\(617\) | −10998.9 | + | 9229.19i | −0.717666 | + | 0.602193i | −0.926739 | − | 0.375707i | \(-0.877400\pi\) |
0.209073 | + | 0.977900i | \(0.432956\pi\) | |||||||
\(618\) | −740.529 | − | 812.054i | −0.0482013 | − | 0.0528570i | ||||
\(619\) | −6425.88 | − | 3709.98i | −0.417250 | − | 0.240899i | 0.276650 | − | 0.960971i | \(-0.410776\pi\) |
−0.693900 | + | 0.720071i | \(0.744109\pi\) | |||||||
\(620\) | 2427.41 | + | 3502.41i | 0.157237 | + | 0.226871i | ||||
\(621\) | 2188.45 | − | 6012.72i | 0.141416 | − | 0.388538i | ||||
\(622\) | 2183.23 | − | 16280.8i | 0.140739 | − | 1.04952i | ||||
\(623\) | 30.7194 | + | 174.218i | 0.00197552 | + | 0.0112037i | ||||
\(624\) | −1256.15 | − | 2224.84i | −0.0805870 | − | 0.142732i | ||||
\(625\) | 10904.0 | + | 9149.52i | 0.697855 | + | 0.585569i | ||||
\(626\) | −154.577 | − | 3747.00i | −0.00986922 | − | 0.239233i | ||||
\(627\) | −4545.34 | − | 1781.41i | −0.289511 | − | 0.113465i | ||||
\(628\) | −18396.3 | + | 1520.41i | −1.16894 | + | 0.0966100i | ||||
\(629\) | −128.409 | + | 153.032i | −0.00813992 | + | 0.00970078i | ||||
\(630\) | −3791.70 | + | 1559.91i | −0.239785 | + | 0.0986480i | ||||
\(631\) | 11431.3 | − | 2015.64i | 0.721191 | − | 0.127165i | 0.199007 | − | 0.979998i | \(-0.436228\pi\) |
0.522184 | + | 0.852833i | \(0.325117\pi\) | |||||||
\(632\) | 2747.87 | + | 139.829i | 0.172950 | + | 0.00880080i | ||||
\(633\) | 6109.27 | + | 2223.59i | 0.383604 | + | 0.139621i | ||||
\(634\) | −9846.49 | − | 15538.2i | −0.616805 | − | 0.973343i | ||||
\(635\) | 1090.37 | − | 1888.58i | 0.0681419 | − | 0.118025i | ||||
\(636\) | −2498.58 | − | 2522.71i | −0.155779 | − | 0.157283i | ||||
\(637\) | −10825.1 | − | 12900.8i | −0.673321 | − | 0.802433i | ||||
\(638\) | 23074.8 | + | 12082.6i | 1.43188 | + | 0.749770i | ||||
\(639\) | 6301.39 | + | 10914.3i | 0.390108 | + | 0.675687i | ||||
\(640\) | −169.351 | + | 2797.88i | −0.0104597 | + | 0.172806i | ||||
\(641\) | 3548.07 | + | 625.621i | 0.218628 | + | 0.0385500i | 0.281889 | − | 0.959447i | \(-0.409039\pi\) |
−0.0632612 | + | 0.997997i | \(0.520150\pi\) | |||||||
\(642\) | 2547.18 | − | 558.277i | 0.156587 | − | 0.0343200i | ||||
\(643\) | 9031.06 | + | 24812.6i | 0.553888 | + | 1.52180i | 0.828358 | + | 0.560199i | \(0.189276\pi\) |
−0.274470 | + | 0.961596i | \(0.588502\pi\) | |||||||
\(644\) | −18943.4 | − | 13400.4i | −1.15912 | − | 0.819955i | ||||
\(645\) | − | 963.457i | − | 0.0588156i | ||||||
\(646\) | −7465.09 | + | 125.244i | −0.454660 | + | 0.00762795i | ||||
\(647\) | 17700.5i | 1.07555i | 0.843089 | + | 0.537774i | \(0.180734\pi\) | ||||
−0.843089 | + | 0.537774i | \(0.819266\pi\) | |||||||
\(648\) | 7470.05 | − | 11541.2i | 0.452857 | − | 0.699660i | ||||
\(649\) | 1345.48 | + | 3696.66i | 0.0813783 | + | 0.223585i | ||||
\(650\) | 2371.31 | + | 10819.3i | 0.143093 | + | 0.652873i | ||||
\(651\) | 9849.84 | + | 1736.79i | 0.593004 | + | 0.104563i | ||||
\(652\) | −1994.82 | + | 7304.17i | −0.119821 | + | 0.438732i | ||||
\(653\) | −1435.27 | − | 2485.96i | −0.0860131 | − | 0.148979i | 0.819809 | − | 0.572637i | \(-0.194079\pi\) |
−0.905822 | + | 0.423658i | \(0.860746\pi\) | |||||||
\(654\) | −1859.22 | + | 3550.67i | −0.111164 | + | 0.212297i | ||||
\(655\) | −1235.73 | − | 1472.69i | −0.0737162 | − | 0.0878516i | ||||
\(656\) | −14476.1 | − | 12386.0i | −0.861583 | − | 0.737182i | ||||
\(657\) | 9223.67 | − | 15975.9i | 0.547716 | − | 0.948673i | ||||
\(658\) | −35431.1 | + | 22452.6i | −2.09916 | + | 1.33023i | ||||
\(659\) | 16956.9 | + | 6171.80i | 1.00235 | + | 0.364824i | 0.790489 | − | 0.612477i | \(-0.209827\pi\) |
0.211857 | + | 0.977301i | \(0.432049\pi\) | |||||||
\(660\) | 908.905 | + | 83.9225i | 0.0536046 | + | 0.00494951i | ||||
\(661\) | 2343.47 | − | 413.218i | 0.137898 | − | 0.0243151i | −0.104273 | − | 0.994549i | \(-0.533252\pi\) |
0.242171 | + | 0.970234i | \(0.422140\pi\) | |||||||
\(662\) | 10004.4 | + | 24317.9i | 0.587359 | + | 1.42771i | ||||
\(663\) | −817.885 | + | 974.717i | −0.0479095 | + | 0.0570964i | ||||
\(664\) | −8049.99 | + | 1000.82i | −0.470482 | + | 0.0584928i | ||||
\(665\) | −704.687 | − | 4660.15i | −0.0410926 | − | 0.271749i | ||||
\(666\) | 451.177 | − | 18.6127i | 0.0262504 | − | 0.00108292i | ||||
\(667\) | −14593.4 | − | 12245.3i | −0.847165 | − | 0.710856i | ||||
\(668\) | 17944.4 | − | 8262.87i | 1.03936 | − | 0.478593i | ||||
\(669\) | −73.4904 | − | 416.785i | −0.00424709 | − | 0.0240865i | ||||
\(670\) | −3141.65 | − | 421.289i | −0.181153 | − | 0.0242922i | ||||
\(671\) | −2539.83 | + | 6978.13i | −0.146124 | + | 0.401472i | ||||
\(672\) | 4386.03 | + | 4903.52i | 0.251778 | + | 0.281484i | ||||
\(673\) | 14488.8 | + | 8365.11i | 0.829869 | + | 0.479125i | 0.853808 | − | 0.520588i | \(-0.174287\pi\) |
−0.0239388 | + | 0.999713i | \(0.507621\pi\) | |||||||
\(674\) | −11406.5 | + | 10401.8i | −0.651871 | + | 0.594455i | ||||
\(675\) | 6024.66 | − | 5055.29i | 0.343540 | − | 0.288264i | ||||
\(676\) | 3941.69 | − | 8348.00i | 0.224266 | − | 0.474966i | ||||
\(677\) | 5729.78 | − | 3308.09i | 0.325278 | − | 0.187799i | −0.328465 | − | 0.944516i | \(-0.606531\pi\) |
0.653743 | + | 0.756717i | \(0.273198\pi\) | |||||||
\(678\) | −4410.24 | − | 1402.20i | −0.249814 | − | 0.0794267i | ||||
\(679\) | −3999.58 | + | 22682.7i | −0.226053 | + | 1.28201i | ||||
\(680\) | 1334.31 | − | 410.156i | 0.0752479 | − | 0.0231305i | ||||
\(681\) | 4165.71 | − | 1516.20i | 0.234406 | − | 0.0853168i | ||||
\(682\) | 29394.6 | + | 22667.7i | 1.65040 | + | 1.27271i | ||||
\(683\) | 13370.7 | 0.749073 | 0.374536 | − | 0.927212i | \(-0.377802\pi\) | ||||
0.374536 | + | 0.927212i | \(0.377802\pi\) | |||||||
\(684\) | 11579.3 | + | 12277.6i | 0.647288 | + | 0.686322i | ||||
\(685\) | 3410.14 | 0.190211 | ||||||||
\(686\) | 11751.9 | + | 9062.49i | 0.654066 | + | 0.504384i | ||||
\(687\) | −4635.82 | + | 1687.30i | −0.257449 | + | 0.0937038i | ||||
\(688\) | 24301.4 | − | 8581.36i | 1.34663 | − | 0.475525i | ||||
\(689\) | −2013.62 | + | 11419.8i | −0.111339 | + | 0.631436i | ||||
\(690\) | −636.208 | − | 202.278i | −0.0351015 | − | 0.0111603i | ||||
\(691\) | −22784.2 | + | 13154.5i | −1.25434 | + | 0.724196i | −0.971969 | − | 0.235108i | \(-0.924456\pi\) |
−0.282375 | + | 0.959304i | \(0.591122\pi\) | |||||||
\(692\) | 23787.9 | + | 11232.0i | 1.30677 | + | 0.617018i | ||||
\(693\) | −27358.8 | + | 22956.7i | −1.49967 | + | 1.25837i | ||||
\(694\) | 12253.1 | − | 11173.9i | 0.670206 | − | 0.611175i | ||||
\(695\) | −3251.93 | − | 1877.50i | −0.177486 | − | 0.102471i | ||||
\(696\) | 3257.09 | + | 4308.68i | 0.177384 | + | 0.234655i | ||||
\(697\) | −3245.10 | + | 8915.85i | −0.176352 | + | 0.484522i | ||||
\(698\) | 6861.49 | + | 920.112i | 0.372079 | + | 0.0498951i | ||||
\(699\) | 1017.97 | + | 5773.22i | 0.0550835 | + | 0.312394i | ||||
\(700\) | −11928.9 | − | 25905.9i | −0.644099 | − | 1.39879i | ||||
\(701\) | −9468.75 | − | 7945.22i | −0.510171 | − | 0.428084i | 0.351019 | − | 0.936368i | \(-0.385835\pi\) |
−0.861189 | + | 0.508285i | \(0.830280\pi\) | |||||||
\(702\) | 5919.81 | − | 244.213i | 0.318274 | − | 0.0131299i | ||||
\(703\) | −102.611 | + | 508.842i | −0.00550504 | + | 0.0272992i | ||||
\(704\) | 5978.68 | + | 23672.9i | 0.320071 | + | 1.26734i | ||||
\(705\) | −775.725 | + | 924.473i | −0.0414404 | + | 0.0493867i | ||||
\(706\) | −8241.31 | − | 20032.3i | −0.439328 | − | 1.06788i | ||||
\(707\) | −22420.4 | + | 3953.32i | −1.19265 | + | 0.210297i | ||||
\(708\) | −75.0031 | + | 812.305i | −0.00398134 | + | 0.0431191i | ||||
\(709\) | 17832.9 | + | 6490.63i | 0.944609 | + | 0.343809i | 0.767984 | − | 0.640469i | \(-0.221260\pi\) |
0.176624 | + | 0.984278i | \(0.443482\pi\) | |||||||
\(710\) | 2287.96 | − | 1449.87i | 0.120937 | − | 0.0766376i | ||||
\(711\) | −1548.66 | + | 2682.36i | −0.0816869 | + | 0.141486i | ||||
\(712\) | −92.7004 | + | 99.7120i | −0.00487935 | + | 0.00524840i | ||||
\(713\) | −17450.9 | − | 20797.2i | −0.916610 | − | 1.09237i | ||||
\(714\) | 1519.84 | − | 2902.54i | 0.0796619 | − | 0.152135i | ||||
\(715\) | −1490.50 | − | 2581.63i | −0.0779603 | − | 0.135031i | ||||
\(716\) | 17270.7 | + | 4716.76i | 0.901450 | + | 0.246192i | ||||
\(717\) | 662.198 | + | 116.763i | 0.0344913 | + | 0.00608174i | ||||
\(718\) | 6942.40 | + | 31675.2i | 0.360847 | + | 1.64639i | ||||
\(719\) | −2320.61 | − | 6375.83i | −0.120367 | − | 0.330707i | 0.864846 | − | 0.502037i | \(-0.167416\pi\) |
−0.985214 | + | 0.171330i | \(0.945194\pi\) | |||||||
\(720\) | −2717.35 | − | 1603.88i | −0.140652 | − | 0.0830183i | ||||
\(721\) | − | 9242.08i | − | 0.477383i | ||||||
\(722\) | −16875.0 | + | 9570.79i | −0.869839 | + | 0.493335i | ||||
\(723\) | − | 7644.10i | − | 0.393205i | ||||||
\(724\) | 4271.91 | − | 6038.94i | 0.219288 | − | 0.309994i | ||||
\(725\) | −8008.44 | − | 22003.0i | −0.410243 | − | 1.12713i | ||||
\(726\) | 3220.95 | − | 705.952i | 0.164657 | − | 0.0360886i | ||||
\(727\) | −22173.3 | − | 3909.75i | −1.13117 | − | 0.199456i | −0.423430 | − | 0.905929i | \(-0.639174\pi\) |
−0.707740 | + | 0.706473i | \(0.750285\pi\) | |||||||
\(728\) | 4801.50 | − | 20942.5i | 0.244444 | − | 1.06618i | ||||
\(729\) | 6655.65 | + | 11527.9i | 0.338142 | + | 0.585679i | ||||
\(730\) | −3512.42 | − | 1839.19i | −0.178083 | − | 0.0932488i | ||||
\(731\) | −8250.05 | − | 9832.03i | −0.417427 | − | 0.497470i | ||||
\(732\) | −1094.09 | + | 1083.63i | −0.0552444 | + | 0.0547159i | ||||
\(733\) | 3876.85 | − | 6714.91i | 0.195355 | − | 0.338364i | −0.751662 | − | 0.659548i | \(-0.770748\pi\) |
0.947017 | + | 0.321184i | \(0.104081\pi\) | |||||||
\(734\) | −19069.9 | − | 30093.0i | −0.958966 | − | 1.51329i | ||||
\(735\) | 1172.37 | + | 426.709i | 0.0588350 | + | 0.0214142i | ||||
\(736\) | −564.528 | − | 17848.8i | −0.0282728 | − | 0.893906i | ||||
\(737\) | −27191.6 | + | 4794.61i | −1.35904 | + | 0.239636i | ||||
\(738\) | 19834.0 | − | 8159.74i | 0.989296 | − | 0.406997i | ||||
\(739\) | 12993.0 | − | 15484.4i | 0.646758 | − | 0.770776i | −0.338663 | − | 0.940908i | \(-0.609975\pi\) |
0.985421 | + | 0.170131i | \(0.0544192\pi\) | |||||||
\(740\) | −7.99389 | − | 96.7224i | −0.000397110 | − | 0.00480485i | ||||
\(741\) | −653.567 | + | 3241.00i | −0.0324013 | + | 0.160676i | ||||
\(742\) | −1230.74 | − | 29833.6i | −0.0608922 | − | 1.47605i | ||||
\(743\) | 7557.77 | + | 6341.73i | 0.373173 | + | 0.313130i | 0.810015 | − | 0.586409i | \(-0.199459\pi\) |
−0.436842 | + | 0.899538i | \(0.643903\pi\) | |||||||
\(744\) | 3504.93 | + | 6853.09i | 0.172711 | + | 0.337697i | ||||
\(745\) | 1118.72 | + | 6344.55i | 0.0550155 | + | 0.312009i | ||||
\(746\) | −3.24626 | + | 24.2081i | −0.000159322 | + | 0.00118810i | ||||
\(747\) | 3123.25 | − | 8581.05i | 0.152977 | − | 0.420300i | ||||
\(748\) | 9993.95 | − | 6926.50i | 0.488523 | − | 0.338580i | ||||
\(749\) | 18991.0 | + | 10964.5i | 0.926457 | + | 0.534890i | ||||
\(750\) | −1122.88 | − | 1231.34i | −0.0546690 | − | 0.0599494i | ||||
\(751\) | −18751.4 | + | 15734.3i | −0.911114 | + | 0.764515i | −0.972331 | − | 0.233609i | \(-0.924946\pi\) |
0.0612167 | + | 0.998124i | \(0.480502\pi\) | |||||||
\(752\) | −30227.3 | − | 11332.1i | −1.46579 | − | 0.549518i | ||||
\(753\) | 2593.60 | − | 1497.42i | 0.125519 | − | 0.0724687i | ||||
\(754\) | 5344.81 | − | 16810.6i | 0.258152 | − | 0.811944i | ||||
\(755\) | 841.521 | − | 4772.50i | 0.0405644 | − | 0.230052i | ||||
\(756\) | −14755.1 | + | 3877.72i | −0.709840 | + | 0.186549i | ||||
\(757\) | 395.480 | − | 143.943i | 0.0189881 | − | 0.00691110i | −0.332509 | − | 0.943100i | \(-0.607895\pi\) |
0.351497 | + | 0.936189i | \(0.385673\pi\) | |||||||
\(758\) | −2103.81 | + | 2728.14i | −0.100810 | + | 0.130726i | ||||
\(759\) | −5815.20 | −0.278101 | ||||||||
\(760\) | 2533.94 | − | 2595.34i | 0.120942 | − | 0.123872i | ||||
\(761\) | 13055.1 | 0.621874 | 0.310937 | − | 0.950431i | \(-0.399357\pi\) | ||||
0.310937 | + | 0.950431i | \(0.399357\pi\) | |||||||
\(762\) | 2405.48 | − | 3119.34i | 0.114359 | − | 0.148296i | ||||
\(763\) | −31672.5 | + | 11527.8i | −1.50278 | + | 0.546967i | ||||
\(764\) | 13150.6 | − | 3456.03i | 0.622738 | − | 0.163658i | ||||
\(765\) | −272.874 | + | 1547.55i | −0.0128965 | + | 0.0731394i | ||||
\(766\) | 10964.6 | − | 34486.1i | 0.517190 | − | 1.62667i | ||||
\(767\) | 2307.25 | − | 1332.09i | 0.108618 | − | 0.0627106i | ||||
\(768\) | −974.887 | + | 4968.36i | −0.0458049 | + | 0.233438i | ||||
\(769\) | 18075.9 | − | 15167.5i | 0.847639 | − | 0.711254i | −0.111629 | − | 0.993750i | \(-0.535607\pi\) |
0.959268 | + | 0.282496i | \(0.0911624\pi\) | |||||||
\(770\) | 5172.17 | + | 5671.74i | 0.242068 | + | 0.265448i | ||||
\(771\) | 3791.24 | + | 2188.88i | 0.177092 | + | 0.102244i | ||||
\(772\) | 2543.13 | − | 1762.56i | 0.118561 | − | 0.0821711i | ||||
\(773\) | −185.474 | + | 509.584i | −0.00863004 | + | 0.0237108i | −0.943933 | − | 0.330138i | \(-0.892905\pi\) |
0.935303 | + | 0.353848i | \(0.115127\pi\) | |||||||
\(774\) | −3855.93 | + | 28754.6i | −0.179068 | + | 1.33535i | ||||
\(775\) | −5794.49 | − | 32862.2i | −0.268573 | − | 1.52315i | ||||
\(776\) | −15781.6 | + | 8071.34i | −0.730062 | + | 0.373381i | ||||
\(777\) | −174.497 | − | 146.421i | −0.00805671 | − | 0.00676038i | ||||
\(778\) | −248.966 | − | 6035.01i | −0.0114728 | − | 0.278105i | ||||
\(779\) | 3686.15 | + | 24376.8i | 0.169538 | + | 1.12117i | ||||
\(780\) | −50.9160 | − | 616.060i | −0.00233729 | − | 0.0282801i | ||||
\(781\) | 15166.2 | − | 18074.4i | 0.694866 | − | 0.828109i | ||||
\(782\) | −8224.57 | + | 3383.59i | −0.376100 | + | 0.154728i | ||||
\(783\) | −12335.0 | + | 2174.98i | −0.562982 | + | 0.0992690i | ||||
\(784\) | −320.788 | + | 33371.6i | −0.0146131 | + | 1.52021i | ||||
\(785\) | −4196.74 | − | 1527.49i | −0.190813 | − | 0.0694502i | ||||
\(786\) | −1858.77 | − | 2933.21i | −0.0843512 | − | 0.133110i | ||||
\(787\) | −747.926 | + | 1295.45i | −0.0338763 | + | 0.0586756i | −0.882467 | − | 0.470375i | \(-0.844119\pi\) |
0.848590 | + | 0.529051i | \(0.177452\pi\) | |||||||
\(788\) | 1391.48 | − | 1378.17i | 0.0629053 | − | 0.0623036i | ||||
\(789\) | 3320.56 | + | 3957.29i | 0.149829 | + | 0.178559i | ||||
\(790\) | 589.739 | + | 308.802i | 0.0265595 | + | 0.0139072i | ||||
\(791\) | −19458.7 | − | 33703.4i | −0.874678 | − | 1.51499i | ||||
\(792\) | −26790.6 | − | 6142.28i | −1.20197 | − | 0.275576i | ||||
\(793\) | 4952.73 | + | 873.300i | 0.221786 | + | 0.0391069i | ||||
\(794\) | −26168.3 | + | 5735.44i | −1.16962 | + | 0.256351i | ||||
\(795\) | −293.816 | − | 807.252i | −0.0131076 | − | 0.0360129i | ||||
\(796\) | −13142.2 | + | 18578.3i | −0.585192 | + | 0.827250i | ||||
\(797\) | 27436.2i | 1.21937i | 0.792643 | + | 0.609686i | \(0.208705\pi\) | ||||
−0.792643 | + | 0.609686i | \(0.791295\pi\) | |||||||
\(798\) | −142.811 | − | 8512.20i | −0.00633517 | − | 0.377605i | ||||
\(799\) | 16076.7i | 0.711831i | ||||||||
\(800\) | 10368.2 | − | 19346.0i | 0.458215 | − | 0.854982i | ||||
\(801\) | −52.4187 | − | 144.019i | −0.00231227 | − | 0.00635290i | ||||
\(802\) | 1510.60 | + | 6892.21i | 0.0665101 | + | 0.303457i | ||||
\(803\) | −34011.8 | − | 5997.19i | −1.49471 | − | 0.263557i | ||||
\(804\) | −5523.32 | − | 1508.46i | −0.242279 | − | 0.0661682i | ||||
\(805\) | −2807.05 | − | 4861.95i | −0.122901 | − | 0.212871i | ||||
\(806\) | 11661.3 | − | 22270.3i | 0.509618 | − | 0.973250i | ||||
\(807\) | −1443.23 | − | 1719.98i | −0.0629543 | − | 0.0750260i | ||||
\(808\) | −12832.1 | − | 11929.7i | −0.558701 | − | 0.519414i | ||||
\(809\) | −5060.56 | + | 8765.15i | −0.219926 | + | 0.380922i | −0.954785 | − | 0.297297i | \(-0.903915\pi\) |
0.734859 | + | 0.678220i | \(0.237248\pi\) | |||||||
\(810\) | 2809.58 | − | 1780.42i | 0.121875 | − | 0.0772316i | ||||
\(811\) | −6499.29 | − | 2365.55i | −0.281407 | − | 0.102424i | 0.197461 | − | 0.980311i | \(-0.436730\pi\) |
−0.478868 | + | 0.877887i | \(0.658953\pi\) | |||||||
\(812\) | −4176.18 | + | 45229.2i | −0.180487 | + | 1.95472i | ||||
\(813\) | −3914.52 | + | 690.235i | −0.168866 | + | 0.0297756i | ||||
\(814\) | −321.641 | − | 781.819i | −0.0138495 | − | 0.0336643i | ||||
\(815\) | −1177.54 | + | 1403.34i | −0.0506105 | + | 0.0603152i | ||||
\(816\) | 2487.28 | − | 413.963i | 0.106706 | − | 0.0177593i | ||||
\(817\) | −31050.7 | − | 12169.3i | −1.32965 | − | 0.521115i | ||||
\(818\) | 37020.2 | − | 1527.21i | 1.58237 | − | 0.0652785i | ||||
\(819\) | 18528.3 | + | 15547.1i | 0.790515 | + | 0.663321i | ||||
\(820\) | −1927.96 | − | 4186.94i | −0.0821063 | − | 0.178310i | ||||
\(821\) | −2151.40 | − | 12201.2i | −0.0914546 | − | 0.518665i | −0.995776 | − | 0.0918132i | \(-0.970734\pi\) |
0.904322 | − | 0.426852i | \(-0.140377\pi\) | |||||||
\(822\) | 6105.14 | + | 818.687i | 0.259052 | + | 0.0347384i | ||||
\(823\) | 724.303 | − | 1990.01i | 0.0306775 | − | 0.0842858i | −0.923408 | − | 0.383819i | \(-0.874609\pi\) |
0.954086 | + | 0.299533i | \(0.0968309\pi\) | |||||||
\(824\) | 5673.94 | − | 4289.14i | 0.239880 | − | 0.181334i | ||||
\(825\) | −6189.98 | − | 3573.79i | −0.261221 | − | 0.150816i | ||||
\(826\) | −5068.94 | + | 4622.47i | −0.213524 | + | 0.194717i | ||||
\(827\) | −17422.4 | + | 14619.1i | −0.732569 | + | 0.614699i | −0.930831 | − | 0.365450i | \(-0.880915\pi\) |
0.198261 | + | 0.980149i | \(0.436471\pi\) | |||||||
\(828\) | 18178.2 | + | 8583.24i | 0.762966 | + | 0.360251i | ||||
\(829\) | −29217.2 | + | 16868.6i | −1.22407 | + | 0.706718i | −0.965784 | − | 0.259350i | \(-0.916492\pi\) |
−0.258288 | + | 0.966068i | \(0.583158\pi\) | |||||||
\(830\) | −1870.39 | − | 594.678i | −0.0782196 | − | 0.0248694i | ||||
\(831\) | −39.8656 | + | 226.089i | −0.00166417 | + | 0.00943797i | ||||
\(832\) | 15085.5 | − | 6771.41i | 0.628598 | − | 0.282159i | ||||
\(833\) | 15617.9 | − | 5684.46i | 0.649615 | − | 0.236440i | ||||
\(834\) | −5371.15 | − | 4141.98i | −0.223007 | − | 0.171972i | ||||
\(835\) | 4779.75 | 0.198096 | ||||||||
\(836\) | 14185.0 | − | 28232.5i | 0.586839 | − | 1.16799i | ||||
\(837\) | −17849.9 | −0.737134 | ||||||||
\(838\) | −7577.92 | − | 5843.73i | −0.312381 | − | 0.240893i | ||||
\(839\) | 22975.3 | − | 8362.32i | 0.945406 | − | 0.344100i | 0.177107 | − | 0.984192i | \(-0.443326\pi\) |
0.768298 | + | 0.640092i | \(0.221104\pi\) | |||||||
\(840\) | 467.687 | + | 1521.47i | 0.0192104 | + | 0.0624950i | ||||
\(841\) | −2240.40 | + | 12705.9i | −0.0918610 | + | 0.520970i | ||||
\(842\) | 33118.9 | + | 10529.9i | 1.35552 | + | 0.430979i | ||||
\(843\) | −650.298 | + | 375.449i | −0.0265687 | + | 0.0153395i | ||||
\(844\) | −17965.3 | + | 38048.1i | −0.732689 | + | 1.55174i | ||||
\(845\) | 1711.03 | − | 1435.73i | 0.0696583 | − | 0.0584503i | ||||
\(846\) | 26851.6 | − | 24486.5i | 1.09122 | − | 0.995109i | ||||
\(847\) | 24014.5 | + | 13864.8i | 0.974200 | + | 0.562455i | ||||
\(848\) | 17744.4 | − | 14601.0i | 0.718569 | − | 0.591274i | ||||
\(849\) | 1062.57 | − | 2919.38i | 0.0429532 | − | 0.118013i | ||||
\(850\) | −10834.0 | − | 1452.82i | −0.437182 | − | 0.0586252i | ||||
\(851\) | 107.369 | + | 608.920i | 0.00432498 | + | 0.0245282i | ||||
\(852\) | 4444.18 | − | 2046.41i | 0.178703 | − | 0.0822874i | ||||
\(853\) | 9655.53 | + | 8101.95i | 0.387572 | + | 0.325212i | 0.815667 | − | 0.578522i | \(-0.196370\pi\) |
−0.428094 | + | 0.903734i | \(0.640815\pi\) | |||||||
\(854\) | −12938.8 | + | 533.770i | −0.518449 | + | 0.0213878i | ||||
\(855\) | 1302.30 | + | 3869.96i | 0.0520909 | + | 0.154795i | ||||
\(856\) | 2082.14 | + | 16747.5i | 0.0831379 | + | 0.668713i | ||||
\(857\) | 12447.7 | − | 14834.5i | 0.496154 | − | 0.591293i | −0.458618 | − | 0.888634i | \(-0.651655\pi\) |
0.954772 | + | 0.297340i | \(0.0960996\pi\) | |||||||
\(858\) | −2048.65 | − | 4979.69i | −0.0815149 | − | 0.198140i | ||||
\(859\) | 31385.8 | − | 5534.16i | 1.24665 | − | 0.219817i | 0.488884 | − | 0.872349i | \(-0.337404\pi\) |
0.757761 | + | 0.652532i | \(0.226293\pi\) | |||||||
\(860\) | 6209.01 | + | 573.301i | 0.246193 | + | 0.0227319i | ||||
\(861\) | −10166.5 | − | 3700.29i | −0.402406 | − | 0.146464i | ||||
\(862\) | −2122.16 | + | 1344.81i | −0.0838529 | + | 0.0531373i | ||||
\(863\) | 18345.4 | − | 31775.1i | 0.723619 | − | 1.25335i | −0.235920 | − | 0.971772i | \(-0.575810\pi\) |
0.959540 | − | 0.281573i | \(-0.0908562\pi\) | |||||||
\(864\) | −9228.30 | − | 7258.94i | −0.363372 | − | 0.285827i | ||||
\(865\) | 4091.15 | + | 4875.65i | 0.160813 | + | 0.191650i | ||||
\(866\) | −18523.9 | + | 35376.2i | −0.726866 | + | 1.38814i | ||||
\(867\) | 2408.63 | + | 4171.87i | 0.0943499 | + | 0.163419i | ||||
\(868\) | −17053.9 | + | 62444.0i | −0.666874 | + | 2.44180i | ||||
\(869\) | 5710.61 | + | 1006.93i | 0.222922 | + | 0.0393071i | ||||
\(870\) | 279.778 | + | 1276.50i | 0.0109027 | + | 0.0497443i | ||||
\(871\) | 6395.49 | + | 17571.5i | 0.248798 | + | 0.683567i | ||||
\(872\) | −21776.0 | − | 14094.6i | −0.845675 | − | 0.547365i | ||||
\(873\) | − | 19954.3i | − | 0.773597i | ||||||
\(874\) | −14555.0 | + | 17949.0i | −0.563306 | + | 0.694662i | ||||
\(875\) | − | 14014.0i | − | 0.541439i | ||||||
\(876\) | −5846.72 | − | 4135.93i | −0.225505 | − | 0.159521i | ||||
\(877\) | 2042.96 | + | 5612.99i | 0.0786613 | + | 0.216120i | 0.972789 | − | 0.231691i | \(-0.0744259\pi\) |
−0.894128 | + | 0.447811i | \(0.852204\pi\) | |||||||
\(878\) | −4871.88 | + | 1067.79i | −0.187264 | + | 0.0410436i | ||||
\(879\) | 8510.29 | + | 1500.59i | 0.326559 | + | 0.0575811i | ||||
\(880\) | −1081.68 | + | 5807.51i | −0.0414357 | + | 0.222467i | ||||
\(881\) | 4553.10 | + | 7886.19i | 0.174118 | + | 0.301581i | 0.939856 | − | 0.341572i | \(-0.110959\pi\) |
−0.765738 | + | 0.643153i | \(0.777626\pi\) | |||||||
\(882\) | −33282.0 | − | 17427.3i | −1.27059 | − | 0.665314i | ||||
\(883\) | 16153.0 | + | 19250.4i | 0.615618 | + | 0.733665i | 0.980310 | − | 0.197463i | \(-0.0632703\pi\) |
−0.364692 | + | 0.931128i | \(0.618826\pi\) | |||||||
\(884\) | −5794.90 | − | 5850.87i | −0.220479 | − | 0.222609i | ||||
\(885\) | −98.6848 | + | 170.927i | −0.00374831 | + | 0.00649226i | ||||
\(886\) | 19322.2 | + | 30491.2i | 0.732666 | + | 1.15618i | ||||
\(887\) | 20356.5 | + | 7409.15i | 0.770579 | + | 0.280468i | 0.697239 | − | 0.716839i | \(-0.254412\pi\) |
0.0733404 | + | 0.997307i | \(0.476634\pi\) | |||||||
\(888\) | 8.90920 | − | 175.080i | 0.000336681 | − | 0.00661634i | ||||
\(889\) | 32622.7 | − | 5752.26i | 1.23074 | − | 0.217013i | ||||
\(890\) | −30.4628 | + | 12.5324i | −0.00114732 | + | 0.000472009i | ||||
\(891\) | 18623.9 | − | 22195.1i | 0.700253 | − | 0.834528i | ||||
\(892\) | 2729.71 | − | 225.604i | 0.102463 | − | 0.00846836i | ||||
\(893\) | 19996.2 | + | 36677.3i | 0.749324 | + | 1.37442i | ||||
\(894\) | 479.662 | + | 11627.2i | 0.0179444 | + | 0.434978i | ||||
\(895\) | 3318.21 | + | 2784.31i | 0.123928 | + | 0.103988i | ||||
\(896\) | −34210.7 | + | 25348.0i | −1.27556 | + | 0.945110i | ||||
\(897\) | 683.872 | + | 3878.43i | 0.0254558 | + | 0.144367i | ||||
\(898\) | 4299.02 | − | 32058.8i | 0.159755 | − | 1.19133i | ||||
\(899\) | −18176.2 | + | 49938.8i | −0.674317 | + | 1.85267i | ||||
\(900\) | 14074.8 | + | 20308.0i | 0.521290 | + | 0.752148i | ||||
\(901\) | −9910.85 | − | 5722.03i | −0.366458 | − | 0.211574i | ||||
\(902\) | −27055.2 | − | 29668.4i | −0.998713 | − | 1.09518i | ||||
\(903\) | 11211.1 | − | 9407.26i | 0.413160 | − | 0.346682i | ||||
\(904\) | 11660.8 | − | 27587.5i | 0.429019 | − | 1.01498i | ||||
\(905\) | 1549.93 | − | 894.855i | 0.0569299 | − | 0.0328685i | ||||
\(906\) | 2652.32 | − | 8342.14i | 0.0972600 | − | 0.305904i | ||||
\(907\) | 4523.78 | − | 25655.6i | 0.165611 | − | 0.939229i | −0.782820 | − | 0.622248i | \(-0.786220\pi\) |
0.948432 | − | 0.316981i | \(-0.102669\pi\) | |||||||
\(908\) | 7292.35 | + | 27748.2i | 0.266526 | + | 1.01416i | ||||
\(909\) | 18534.0 | − | 6745.83i | 0.676276 | − | 0.246144i | ||||
\(910\) | 3174.50 | − | 4116.57i | 0.115641 | − | 0.149959i | ||||
\(911\) | 2263.10 | 0.0823049 | 0.0411524 | − | 0.999153i | \(-0.486897\pi\) | ||||
0.0411524 | + | 0.999153i | \(0.486897\pi\) | |||||||
\(912\) | 5159.57 | − | 4038.08i | 0.187336 | − | 0.146617i | ||||
\(913\) | −17096.2 | −0.619716 | ||||||||
\(914\) | −135.114 | + | 175.211i | −0.00488968 | + | 0.00634075i | ||||
\(915\) | −350.103 | + | 127.427i | −0.0126492 | + | 0.00460394i | ||||
\(916\) | −8115.30 | − | 30879.6i | −0.292726 | − | 1.11385i | ||||
\(917\) | 5070.97 | − | 28758.9i | 0.182615 | − | 1.03566i | ||||
\(918\) | −1771.69 | + | 5572.36i | −0.0636978 | + | 0.200344i | ||||
\(919\) | 21419.7 | − | 12366.7i | 0.768848 | − | 0.443895i | −0.0636154 | − | 0.997974i | \(-0.520263\pi\) |
0.832464 | + | 0.554080i | \(0.186930\pi\) | |||||||
\(920\) | 1682.15 | − | 3979.69i | 0.0602815 | − | 0.142616i | ||||
\(921\) | −8781.97 | + | 7368.95i | −0.314197 | + | 0.263643i | ||||
\(922\) | 8204.95 | + | 8997.45i | 0.293076 | + | 0.321383i | ||||
\(923\) | −13838.2 | − | 7989.51i | −0.493490 | − | 0.284916i | ||||
\(924\) | 7898.05 | + | 11395.8i | 0.281198 | + | 0.405729i | ||||
\(925\) | −259.929 | + | 714.148i | −0.00923935 | + | 0.0253849i | ||||
\(926\) | 6078.05 | − | 45325.5i | 0.215699 | − | 1.60852i | ||||
\(927\) | 1390.38 | + | 7885.22i | 0.0492621 | + | 0.279379i | ||||
\(928\) | −29705.5 | + | 18426.5i | −1.05079 | + | 0.651809i | ||||
\(929\) | −19665.1 | − | 16501.0i | −0.694501 | − | 0.582755i | 0.225703 | − | 0.974196i | \(-0.427532\pi\) |
−0.920203 | + | 0.391441i | \(0.871977\pi\) | |||||||
\(930\) | 76.7629 | + | 1860.76i | 0.00270662 | + | 0.0656094i | ||||
\(931\) | 28560.3 | − | 32394.0i | 1.00540 | − | 1.14036i | ||||
\(932\) | −37811.3 | + | 3125.02i | −1.32892 | + | 0.109832i | ||||
\(933\) | 4614.51 | − | 5499.36i | 0.161921 | − | 0.192970i | ||||
\(934\) | 2960.64 | − | 1218.01i | 0.103721 | − | 0.0426708i | ||||
\(935\) | 2897.26 | − | 510.865i | 0.101338 | − | 0.0178685i | ||||
\(936\) | −945.988 | + | 18590.2i | −0.0330348 | + | 0.649188i | ||||
\(937\) | −15682.6 | − | 5708.00i | −0.546775 | − | 0.199010i | 0.0538381 | − | 0.998550i | \(-0.482855\pi\) |
−0.600613 | + | 0.799540i | \(0.705077\pi\) | |||||||
\(938\) | −25773.0 | − | 40670.9i | −0.897141 | − | 1.41573i | ||||
\(939\) | 819.472 | − | 1419.37i | 0.0284797 | − | 0.0493283i | ||||
\(940\) | −5496.18 | − | 5549.27i | −0.190708 | − | 0.192550i | ||||
\(941\) | 19893.6 | + | 23708.2i | 0.689173 | + | 0.821325i | 0.991255 | − | 0.131957i | \(-0.0421262\pi\) |
−0.302082 | + | 0.953282i | \(0.597682\pi\) | |||||||
\(942\) | −7146.68 | − | 3742.18i | −0.247188 | − | 0.129434i | ||||
\(943\) | 14683.4 | + | 25432.4i | 0.507060 | + | 0.878254i | ||||
\(944\) | −5190.28 | − | 966.718i | −0.178951 | − | 0.0333305i | ||||
\(945\) | −3635.08 | − | 640.964i | −0.125132 | − | 0.0220641i | ||||
\(946\) | 53055.8 | − | 11628.5i | 1.82346 | − | 0.399656i | ||||
\(947\) | −7422.49 | − | 20393.1i | −0.254697 | − | 0.699775i | −0.999473 | − | 0.0324604i | \(-0.989666\pi\) |
0.744776 | − | 0.667315i | \(-0.232556\pi\) | |||||||
\(948\) | 981.669 | + | 694.427i | 0.0336320 | + | 0.0237911i | ||||
\(949\) | 23389.3i | 0.800052i | ||||||||
\(950\) | −26523.7 | + | 10160.9i | −0.905835 | + | 0.347013i | ||||
\(951\) | − | 8039.31i | − | 0.274125i | ||||||
\(952\) | 17801.1 | + | 11521.8i | 0.606025 | + | 0.392251i | ||||
\(953\) | 3238.04 | + | 8896.44i | 0.110063 | + | 0.302397i | 0.982480 | − | 0.186365i | \(-0.0596709\pi\) |
−0.872417 | + | 0.488762i | \(0.837449\pi\) | |||||||
\(954\) | 5538.22 | + | 25268.5i | 0.187952 | + | 0.857545i | ||||
\(955\) | 3239.79 | + | 571.262i | 0.109777 | + | 0.0193567i | ||||
\(956\) | −1146.52 | + | 4198.07i | −0.0387878 | + | 0.142024i | ||||
\(957\) | 5691.62 | + | 9858.17i | 0.192251 | + | 0.332988i | ||||
\(958\) | −9073.03 | + | 17327.3i | −0.305988 | + | 0.584364i | ||||
\(959\) | 33296.8 | + | 39681.6i | 1.12118 | + | 1.33617i | ||||
\(960\) | −717.023 | + | 993.222i | −0.0241060 | + | 0.0333918i | ||||
\(961\) | −22972.4 | + | 39789.3i | −0.771117 | + | 1.33561i | ||||
\(962\) | −483.607 | + | 306.460i | −0.0162080 | + | 0.0102710i | ||||
\(963\) | −17852.4 | − | 6497.73i | −0.597388 | − | 0.217431i | ||||
\(964\) | 49262.5 | + | 4548.59i | 1.64589 | + | 0.151971i | ||||
\(965\) | 737.257 | − | 129.998i | 0.0245939 | − | 0.00433658i | ||||
\(966\) | −3858.20 | − | 9378.20i | −0.128505 | − | 0.312359i | ||||
\(967\) | 13701.9 | − | 16329.3i | 0.455660 | − | 0.543035i | −0.488482 | − | 0.872574i | \(-0.662449\pi\) |
0.944142 | + | 0.329540i | \(0.106894\pi\) | |||||||
\(968\) | 2632.90 | + | 21177.6i | 0.0874222 | + | 0.703174i | ||||
\(969\) | −2785.04 | − | 1700.07i | −0.0923307 | − | 0.0563614i | ||||
\(970\) | −4285.05 | + | 176.774i | −0.141840 | + | 0.00585140i | ||||
\(971\) | −29634.7 | − | 24866.4i | −0.979425 | − | 0.821835i | 0.00457777 | − | 0.999990i | \(-0.498543\pi\) |
−0.984003 | + | 0.178155i | \(0.942987\pi\) | |||||||
\(972\) | 18183.1 | − | 8372.75i | 0.600023 | − | 0.276292i | ||||
\(973\) | −9904.75 | − | 56172.7i | −0.326343 | − | 1.85078i | ||||
\(974\) | 38918.7 | + | 5218.92i | 1.28032 | + | 0.171689i | ||||
\(975\) | −1655.58 | + | 4548.67i | −0.0543805 | + | 0.149409i | ||||
\(976\) | −6332.41 | − | 7695.71i | −0.207680 | − | 0.252391i | ||||
\(977\) | 6367.21 | + | 3676.11i | 0.208501 | + | 0.120378i | 0.600614 | − | 0.799539i | \(-0.294923\pi\) |
−0.392114 | + | 0.919917i | \(0.628256\pi\) | |||||||
\(978\) | −2445.05 | + | 2229.69i | −0.0799429 | + | 0.0729015i | ||||
\(979\) | −219.803 | + | 184.436i | −0.00717561 | + | 0.00602105i | ||||
\(980\) | −3447.55 | + | 7301.47i | −0.112376 | + | 0.237997i | ||||
\(981\) | 25288.3 | − | 14600.2i | 0.823030 | − | 0.475177i | ||||
\(982\) | −1678.94 | − | 533.808i | −0.0545593 | − | 0.0173467i | ||||
\(983\) | 1337.02 | − | 7582.62i | 0.0433818 | − | 0.246031i | −0.955404 | − | 0.295303i | \(-0.904579\pi\) |
0.998785 | + | 0.0492728i | \(0.0156904\pi\) | |||||||
\(984\) | −2446.43 | − | 7958.69i | −0.0792574 | − | 0.257839i | ||||
\(985\) | 445.264 | − | 162.063i | 0.0144034 | − | 0.00524239i | ||||
\(986\) | 13785.8 | + | 10630.9i | 0.445262 | + | 0.343365i | ||||
\(987\) | −18331.7 | −0.591191 | ||||||||
\(988\) | −20497.8 | − | 6140.46i | −0.660041 | − | 0.197727i | ||||
\(989\) | −39725.5 | −1.27725 | ||||||||
\(990\) | −5266.08 | − | 4060.95i | −0.169058 | − | 0.130369i | ||||
\(991\) | 53514.1 | − | 19477.5i | 1.71537 | − | 0.624343i | 0.717947 | − | 0.696098i | \(-0.245082\pi\) |
0.997422 | + | 0.0717545i | \(0.0228598\pi\) | |||||||
\(992\) | −46250.4 | + | 18509.7i | −1.48029 | + | 0.592422i | ||||
\(993\) | −1995.54 | + | 11317.3i | −0.0637730 | + | 0.361675i | ||||
\(994\) | 39211.0 | + | 12466.9i | 1.25120 | + | 0.397811i | ||||
\(995\) | −4768.25 | + | 2752.95i | −0.151923 | + | 0.0877130i | ||||
\(996\) | −3205.78 | − | 1513.68i | −0.101987 | − | 0.0481554i | ||||
\(997\) | 34570.1 | − | 29007.7i | 1.09814 | − | 0.921449i | 0.100841 | − | 0.994903i | \(-0.467847\pi\) |
0.997299 | + | 0.0734539i | \(0.0234022\pi\) | |||||||
\(998\) | −39653.5 | + | 36160.8i | −1.25773 | + | 1.14694i | ||||
\(999\) | 352.065 | + | 203.265i | 0.0111500 | + | 0.00643745i |
(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 | 76.4.k.a.3.8 | yes | 168 | |
4.3 | odd | 2 | inner | 76.4.k.a.3.7 | ✓ | 168 | |
19.13 | odd | 18 | inner | 76.4.k.a.51.7 | yes | 168 | |
76.51 | even | 18 | inner | 76.4.k.a.51.8 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.4.k.a.3.7 | ✓ | 168 | 4.3 | odd | 2 | inner | |
76.4.k.a.3.8 | yes | 168 | 1.1 | even | 1 | trivial | |
76.4.k.a.51.7 | yes | 168 | 19.13 | odd | 18 | inner | |
76.4.k.a.51.8 | yes | 168 | 76.51 | even | 18 | inner |