Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,4,Mod(46,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.46");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(13.2754297513\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 46.2 | ||
Character | \(\chi\) | \(=\) | 225.46 |
Dual form | 225.4.h.d.181.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.45629 | + | 4.48200i | −0.514876 | + | 1.58463i | 0.268631 | + | 0.963243i | \(0.413429\pi\) |
−0.783507 | + | 0.621383i | \(0.786571\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −11.4954 | − | 8.35189i | −1.43692 | − | 1.04399i | ||||
\(5\) | 10.8155 | + | 2.83289i | 0.967366 | + | 0.253382i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.19013 | 0.118256 | 0.0591279 | − | 0.998250i | \(-0.481168\pi\) | ||||
0.0591279 | + | 0.998250i | \(0.481168\pi\) | |||||||
\(8\) | 23.6729 | − | 17.1993i | 1.04620 | − | 0.760111i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −28.4475 | + | 44.3495i | −0.899589 | + | 1.40245i | ||||
\(11\) | 21.5342 | − | 66.2756i | 0.590256 | − | 1.81662i | 0.0132058 | − | 0.999913i | \(-0.495796\pi\) |
0.577050 | − | 0.816709i | \(-0.304204\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −9.27380 | − | 28.5418i | −0.197853 | − | 0.608929i | −0.999931 | − | 0.0117102i | \(-0.996272\pi\) |
0.802078 | − | 0.597219i | \(-0.203728\pi\) | |||||||
\(14\) | −3.18946 | + | 9.81615i | −0.0608871 | + | 0.187391i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 7.48608 | + | 23.0398i | 0.116970 | + | 0.359997i | ||||
\(17\) | 94.9162 | − | 68.9607i | 1.35415 | − | 0.983848i | 0.355358 | − | 0.934730i | \(-0.384359\pi\) |
0.998793 | − | 0.0491177i | \(-0.0156409\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 43.6560 | − | 31.7180i | 0.527125 | − | 0.382979i | −0.292156 | − | 0.956371i | \(-0.594373\pi\) |
0.819281 | + | 0.573392i | \(0.194373\pi\) | |||||||
\(20\) | −100.668 | − | 122.895i | −1.12551 | − | 1.37401i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 265.687 | + | 193.033i | 2.57476 | + | 1.87067i | ||||
\(23\) | −28.0510 | + | 86.3320i | −0.254306 | + | 0.782672i | 0.739660 | + | 0.672981i | \(0.234986\pi\) |
−0.993966 | + | 0.109692i | \(0.965014\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 108.949 | + | 61.2782i | 0.871596 | + | 0.490226i | ||||
\(26\) | 141.430 | 1.06679 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −25.1764 | − | 18.2917i | −0.169925 | − | 0.123457i | ||||
\(29\) | −45.7488 | − | 33.2384i | −0.292943 | − | 0.212835i | 0.431600 | − | 0.902065i | \(-0.357949\pi\) |
−0.724543 | + | 0.689230i | \(0.757949\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −106.404 | + | 77.3069i | −0.616474 | + | 0.447895i | −0.851688 | − | 0.524049i | \(-0.824421\pi\) |
0.235214 | + | 0.971944i | \(0.424421\pi\) | |||||||
\(32\) | 119.924 | 0.662492 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 170.856 | + | 525.841i | 0.861811 | + | 2.65238i | ||||
\(35\) | 23.6873 | + | 6.20439i | 0.114397 | + | 0.0299638i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −22.9600 | − | 70.6638i | −0.102016 | − | 0.313974i | 0.887002 | − | 0.461765i | \(-0.152784\pi\) |
−0.989019 | + | 0.147791i | \(0.952784\pi\) | |||||||
\(38\) | 78.5840 | + | 241.857i | 0.335474 | + | 1.03248i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 304.757 | − | 118.957i | 1.20466 | − | 0.470217i | ||||
\(41\) | −125.118 | − | 385.073i | −0.476588 | − | 1.46679i | −0.843804 | − | 0.536652i | \(-0.819689\pi\) |
0.367216 | − | 0.930136i | \(-0.380311\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −136.952 | −0.485697 | −0.242849 | − | 0.970064i | \(-0.578082\pi\) | ||||
−0.242849 | + | 0.970064i | \(0.578082\pi\) | |||||||
\(44\) | −801.071 | + | 582.012i | −2.74468 | + | 1.99413i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −346.089 | − | 251.449i | −1.10931 | − | 0.805958i | ||||
\(47\) | 336.129 | + | 244.212i | 1.04318 | + | 0.757915i | 0.970904 | − | 0.239470i | \(-0.0769737\pi\) |
0.0722762 | + | 0.997385i | \(0.476974\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −338.203 | −0.986016 | ||||||||
\(50\) | −433.311 | + | 399.072i | −1.22559 | + | 1.12875i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −131.772 | + | 405.553i | −0.351414 | + | 1.08154i | ||||
\(53\) | 315.053 | + | 228.899i | 0.816525 | + | 0.593240i | 0.915715 | − | 0.401829i | \(-0.131625\pi\) |
−0.0991901 | + | 0.995068i | \(0.531625\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 420.655 | − | 655.798i | 1.03129 | − | 1.60778i | ||||
\(56\) | 51.8466 | − | 37.6687i | 0.123719 | − | 0.0898875i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 215.598 | − | 156.641i | 0.488093 | − | 0.354621i | ||||
\(59\) | 41.2750 | + | 127.031i | 0.0910771 | + | 0.280306i | 0.986211 | − | 0.165490i | \(-0.0529206\pi\) |
−0.895134 | + | 0.445796i | \(0.852921\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −136.341 | + | 419.614i | −0.286175 | + | 0.880756i | 0.699869 | + | 0.714271i | \(0.253242\pi\) |
−0.986044 | + | 0.166485i | \(0.946758\pi\) | |||||||
\(62\) | −191.535 | − | 589.483i | −0.392338 | − | 1.20749i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −234.533 | + | 721.817i | −0.458072 | + | 1.40980i | ||||
\(65\) | −19.4448 | − | 334.965i | −0.0371050 | − | 0.639190i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −89.2870 | + | 64.8708i | −0.162808 | + | 0.118287i | −0.666206 | − | 0.745768i | \(-0.732083\pi\) |
0.503398 | + | 0.864055i | \(0.332083\pi\) | |||||||
\(68\) | −1667.05 | −2.97294 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −62.3036 | + | 97.1310i | −0.106382 | + | 0.165848i | ||||
\(71\) | 775.800 | + | 563.651i | 1.29677 | + | 0.942156i | 0.999918 | − | 0.0127681i | \(-0.00406433\pi\) |
0.296849 | + | 0.954925i | \(0.404064\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 242.057 | − | 744.974i | 0.388090 | − | 1.19442i | −0.546123 | − | 0.837705i | \(-0.683897\pi\) |
0.934213 | − | 0.356715i | \(-0.116103\pi\) | |||||||
\(74\) | 350.151 | 0.550058 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −766.748 | −1.15726 | ||||||||
\(77\) | 47.1627 | − | 145.152i | 0.0698012 | − | 0.214826i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 113.095 | + | 82.1684i | 0.161066 | + | 0.117021i | 0.665399 | − | 0.746488i | \(-0.268262\pi\) |
−0.504333 | + | 0.863509i | \(0.668262\pi\) | |||||||
\(80\) | 15.6964 | + | 270.394i | 0.0219364 | + | 0.377887i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1908.10 | 2.56969 | ||||||||
\(83\) | 642.434 | − | 466.756i | 0.849594 | − | 0.617266i | −0.0754401 | − | 0.997150i | \(-0.524036\pi\) |
0.925034 | + | 0.379884i | \(0.124036\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1221.92 | − | 476.956i | 1.55925 | − | 0.608625i | ||||
\(86\) | 199.442 | − | 613.818i | 0.250074 | − | 0.769648i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −630.119 | − | 1939.31i | −0.763306 | − | 2.34921i | ||||
\(89\) | −26.6981 | + | 82.1683i | −0.0317977 | + | 0.0978632i | −0.965696 | − | 0.259676i | \(-0.916384\pi\) |
0.933898 | + | 0.357539i | \(0.116384\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −20.3108 | − | 62.5102i | −0.0233973 | − | 0.0720093i | ||||
\(92\) | 1043.49 | − | 758.141i | 1.18252 | − | 0.859149i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1584.06 | + | 1150.89i | −1.73812 | + | 1.26282i | ||||
\(95\) | 562.015 | − | 219.372i | 0.606963 | − | 0.236917i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 694.708 | + | 504.735i | 0.727184 | + | 0.528330i | 0.888671 | − | 0.458544i | \(-0.151629\pi\) |
−0.161487 | + | 0.986875i | \(0.551629\pi\) | |||||||
\(98\) | 492.522 | − | 1515.83i | 0.507676 | − | 1.56247i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −740.628 | − | 1614.35i | −0.740628 | − | 1.61435i | ||||
\(101\) | 949.841 | 0.935769 | 0.467885 | − | 0.883790i | \(-0.345016\pi\) | ||||
0.467885 | + | 0.883790i | \(0.345016\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1155.07 | − | 839.205i | −1.10497 | − | 0.802809i | −0.123108 | − | 0.992393i | \(-0.539286\pi\) |
−0.981864 | + | 0.189584i | \(0.939286\pi\) | |||||||
\(104\) | −710.438 | − | 516.163i | −0.669848 | − | 0.486673i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1484.73 | + | 1078.72i | −1.36047 | + | 0.988441i | ||||
\(107\) | −882.976 | −0.797761 | −0.398881 | − | 0.917003i | \(-0.630601\pi\) | ||||
−0.398881 | + | 0.917003i | \(0.630601\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −338.398 | − | 1041.48i | −0.297364 | − | 0.915192i | −0.982417 | − | 0.186699i | \(-0.940221\pi\) |
0.685053 | − | 0.728493i | \(-0.259779\pi\) | |||||||
\(110\) | 2326.69 | + | 2840.41i | 2.01674 | + | 2.46202i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 16.3955 | + | 50.4601i | 0.0138324 | + | 0.0425717i | ||||
\(113\) | −397.976 | − | 1224.84i | −0.331314 | − | 1.01968i | −0.968509 | − | 0.248977i | \(-0.919906\pi\) |
0.637196 | − | 0.770702i | \(-0.280094\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −547.954 | + | 854.257i | −0.444321 | + | 0.692694i | ||||
\(116\) | 248.296 | + | 764.178i | 0.198739 | + | 0.611656i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −629.463 | −0.491074 | ||||||||
\(119\) | 207.879 | − | 151.033i | 0.160136 | − | 0.116346i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2851.93 | − | 2072.05i | −2.14269 | − | 1.55676i | ||||
\(122\) | −1682.16 | − | 1222.16i | −1.24832 | − | 0.906960i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1868.81 | 1.35342 | ||||||||
\(125\) | 1004.75 | + | 971.395i | 0.718938 | + | 0.695074i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 324.931 | − | 1000.03i | 0.227031 | − | 0.698730i | −0.771048 | − | 0.636777i | \(-0.780267\pi\) |
0.998079 | − | 0.0619531i | \(-0.0197329\pi\) | |||||||
\(128\) | −2117.47 | − | 1538.43i | −1.46219 | − | 1.06234i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1529.63 | + | 400.655i | 1.03198 | + | 0.270306i | ||||
\(131\) | −1593.57 | + | 1157.79i | −1.06283 | + | 0.772191i | −0.974610 | − | 0.223911i | \(-0.928118\pi\) |
−0.0882194 | + | 0.996101i | \(0.528118\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 95.6123 | − | 69.4664i | 0.0623356 | − | 0.0452895i | ||||
\(134\) | −160.723 | − | 494.655i | −0.103615 | − | 0.318893i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1060.86 | − | 3264.99i | 0.668883 | − | 2.05861i | ||||
\(137\) | −420.629 | − | 1294.56i | −0.262312 | − | 0.807313i | −0.992301 | − | 0.123854i | \(-0.960475\pi\) |
0.729989 | − | 0.683459i | \(-0.239525\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −190.111 | + | 585.100i | −0.116007 | + | 0.357033i | −0.992156 | − | 0.125008i | \(-0.960104\pi\) |
0.876149 | + | 0.482041i | \(0.160104\pi\) | |||||||
\(140\) | −220.476 | − | 269.156i | −0.133097 | − | 0.162484i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3656.07 | + | 2656.29i | −2.16064 | + | 1.56980i | ||||
\(143\) | −2091.33 | −1.22298 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −400.634 | − | 489.091i | −0.229454 | − | 0.280116i | ||||
\(146\) | 2986.47 | + | 2169.80i | 1.69289 | + | 1.22996i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −326.241 | + | 1004.07i | −0.181195 | + | 0.557661i | ||||
\(149\) | 1267.88 | 0.697104 | 0.348552 | − | 0.937289i | \(-0.386673\pi\) | ||||
0.348552 | + | 0.937289i | \(0.386673\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2731.39 | 1.47203 | 0.736017 | − | 0.676963i | \(-0.236704\pi\) | ||||
0.736017 | + | 0.676963i | \(0.236704\pi\) | |||||||
\(152\) | 487.935 | − | 1501.71i | 0.260373 | − | 0.801347i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 581.888 | + | 422.766i | 0.304480 | + | 0.221217i | ||||
\(155\) | −1369.81 | + | 534.681i | −0.709844 | + | 0.277075i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2614.50 | 1.32904 | 0.664522 | − | 0.747269i | \(-0.268635\pi\) | ||||
0.664522 | + | 0.747269i | \(0.268635\pi\) | |||||||
\(158\) | −532.978 | + | 387.231i | −0.268364 | + | 0.194978i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1297.04 | + | 339.732i | 0.640873 | + | 0.167863i | ||||
\(161\) | −61.4352 | + | 189.078i | −0.0300731 | + | 0.0925555i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 957.089 | + | 2945.62i | 0.459908 | + | 1.41545i | 0.865275 | + | 0.501298i | \(0.167144\pi\) |
−0.405367 | + | 0.914154i | \(0.632856\pi\) | |||||||
\(164\) | −1777.81 | + | 5471.53i | −0.846485 | + | 2.60521i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1156.43 | + | 3559.12i | 0.540700 | + | 1.66410i | ||||
\(167\) | −1095.49 | + | 795.921i | −0.507614 | + | 0.368803i | −0.811918 | − | 0.583772i | \(-0.801576\pi\) |
0.304303 | + | 0.952575i | \(0.401576\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1048.78 | − | 761.982i | 0.477368 | − | 0.346828i | ||||
\(170\) | 358.241 | + | 6171.24i | 0.161623 | + | 2.78419i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1574.32 | + | 1143.81i | 0.697910 | + | 0.507061i | ||||
\(173\) | −753.996 | + | 2320.56i | −0.331360 | + | 1.01982i | 0.637128 | + | 0.770758i | \(0.280122\pi\) |
−0.968487 | + | 0.249062i | \(0.919878\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 238.613 | + | 134.207i | 0.103071 | + | 0.0579720i | ||||
\(176\) | 1688.18 | 0.723020 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −329.398 | − | 239.322i | −0.138705 | − | 0.100775i | ||||
\(179\) | −2226.69 | − | 1617.78i | −0.929778 | − | 0.675524i | 0.0161602 | − | 0.999869i | \(-0.494856\pi\) |
−0.945939 | + | 0.324346i | \(0.894856\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2380.05 | + | 1729.20i | −0.977389 | + | 0.710115i | −0.957124 | − | 0.289680i | \(-0.906451\pi\) |
−0.0202653 | + | 0.999795i | \(0.506451\pi\) | |||||||
\(182\) | 309.749 | 0.126155 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 820.807 | + | 2526.18i | 0.328862 | + | 1.01213i | ||||
\(185\) | −48.1413 | − | 829.306i | −0.0191320 | − | 0.329577i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2526.46 | − | 7775.64i | −0.987984 | − | 3.04070i | ||||
\(188\) | −1824.30 | − | 5614.63i | −0.707718 | − | 2.17813i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 164.771 | + | 2838.42i | 0.0629143 | + | 1.08379i | ||||
\(191\) | −284.218 | − | 874.733i | −0.107672 | − | 0.331380i | 0.882676 | − | 0.469981i | \(-0.155739\pi\) |
−0.990348 | + | 0.138602i | \(0.955739\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4742.42 | 1.76874 | 0.884370 | − | 0.466787i | \(-0.154588\pi\) | ||||
0.884370 | + | 0.466787i | \(0.154588\pi\) | |||||||
\(194\) | −3273.92 | + | 2378.64i | −1.21162 | + | 0.880290i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3887.78 | + | 2824.64i | 1.41683 | + | 1.02939i | ||||
\(197\) | 4008.20 | + | 2912.13i | 1.44961 | + | 1.05320i | 0.985923 | + | 0.167198i | \(0.0534719\pi\) |
0.463682 | + | 0.886002i | \(0.346528\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3302.37 | −1.17638 | −0.588189 | − | 0.808724i | \(-0.700159\pi\) | ||||
−0.588189 | + | 0.808724i | \(0.700159\pi\) | |||||||
\(200\) | 3633.09 | − | 423.229i | 1.28449 | − | 0.149634i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1383.24 | + | 4257.19i | −0.481805 | + | 1.48284i | ||||
\(203\) | −100.196 | − | 72.7964i | −0.0346421 | − | 0.0251690i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −262.340 | − | 4519.20i | −0.0893785 | − | 1.53968i | ||||
\(206\) | 5443.43 | − | 3954.88i | 1.84108 | − | 1.33762i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 588.173 | − | 427.333i | 0.196070 | − | 0.142453i | ||||
\(209\) | −1162.03 | − | 3576.35i | −0.384589 | − | 1.18364i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −168.471 | + | 518.500i | −0.0549669 | + | 0.169171i | −0.974771 | − | 0.223207i | \(-0.928347\pi\) |
0.919804 | + | 0.392378i | \(0.128347\pi\) | |||||||
\(212\) | −1709.91 | − | 5262.57i | −0.553950 | − | 1.70488i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1285.87 | − | 3957.50i | 0.410748 | − | 1.26415i | ||||
\(215\) | −1481.20 | − | 387.970i | −0.469847 | − | 0.123067i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −233.038 | + | 169.312i | −0.0729016 | + | 0.0529661i | ||||
\(218\) | 5160.73 | 1.60334 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −10312.7 | + | 4025.40i | −3.16039 | + | 1.23360i | ||||
\(221\) | −2848.50 | − | 2069.55i | −0.867016 | − | 0.629924i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1325.36 | + | 4079.04i | −0.397994 | + | 1.22490i | 0.528611 | + | 0.848864i | \(0.322713\pi\) |
−0.926605 | + | 0.376036i | \(0.877287\pi\) | |||||||
\(224\) | 262.649 | 0.0783435 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6069.32 | 1.78639 | ||||||||
\(227\) | 142.138 | − | 437.457i | 0.0415597 | − | 0.127908i | −0.928124 | − | 0.372271i | \(-0.878579\pi\) |
0.969684 | + | 0.244364i | \(0.0785791\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4727.25 | − | 3434.55i | −1.36413 | − | 0.991097i | −0.998170 | − | 0.0604658i | \(-0.980741\pi\) |
−0.365958 | − | 0.930631i | \(-0.619259\pi\) | |||||||
\(230\) | −3030.80 | − | 3699.97i | −0.868891 | − | 1.06073i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1654.68 | −0.468256 | ||||||||
\(233\) | −3152.98 | + | 2290.77i | −0.886516 | + | 0.644092i | −0.934967 | − | 0.354734i | \(-0.884571\pi\) |
0.0484511 | + | 0.998826i | \(0.484571\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2943.57 | + | 3593.49i | 0.817096 | + | 0.997504i | ||||
\(236\) | 586.480 | − | 1805.00i | 0.161765 | − | 0.497862i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 374.197 | + | 1151.66i | 0.101914 | + | 0.313659i | ||||
\(239\) | −1921.95 | + | 5915.15i | −0.520169 | + | 1.60092i | 0.253506 | + | 0.967334i | \(0.418416\pi\) |
−0.773675 | + | 0.633582i | \(0.781584\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 770.998 | + | 2372.89i | 0.206076 | + | 0.634237i | 0.999667 | + | 0.0257860i | \(0.00820885\pi\) |
−0.793591 | + | 0.608451i | \(0.791791\pi\) | |||||||
\(242\) | 13440.1 | − | 9764.83i | 3.57010 | − | 2.59383i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5071.87 | − | 3684.93i | 1.33071 | − | 0.966816i | ||||
\(245\) | −3657.83 | − | 958.093i | −0.953838 | − | 0.249838i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1310.15 | − | 951.877i | −0.337500 | − | 0.245208i | ||||
\(248\) | −1189.26 | + | 3660.15i | −0.304507 | + | 0.937177i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5816.99 | + | 3088.64i | −1.47160 | + | 0.781371i | ||||
\(251\) | 6788.45 | 1.70710 | 0.853552 | − | 0.521008i | \(-0.174444\pi\) | ||||
0.853552 | + | 0.521008i | \(0.174444\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5117.64 | + | 3718.19i | 1.27171 | + | 0.923954i | ||||
\(254\) | 4008.96 | + | 2912.68i | 0.990333 | + | 0.719519i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5066.79 | − | 3681.24i | 1.23701 | − | 0.898740i | ||||
\(257\) | −2258.32 | −0.548132 | −0.274066 | − | 0.961711i | \(-0.588369\pi\) | ||||
−0.274066 | + | 0.961711i | \(0.588369\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −50.2854 | − | 154.763i | −0.0120640 | − | 0.0371293i | ||||
\(260\) | −2574.07 | + | 4012.96i | −0.613988 | + | 0.957204i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2868.54 | − | 8828.45i | −0.676408 | − | 2.08177i | ||||
\(263\) | 1041.31 | + | 3204.82i | 0.244144 | + | 0.751398i | 0.995776 | + | 0.0918153i | \(0.0292669\pi\) |
−0.751632 | + | 0.659583i | \(0.770733\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2759.00 | + | 3368.17i | 0.639563 | + | 0.780773i | ||||
\(266\) | 172.109 | + | 529.697i | 0.0396717 | + | 0.122097i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1568.18 | 0.357433 | ||||||||
\(269\) | −5885.65 | + | 4276.17i | −1.33403 | + | 0.969230i | −0.334390 | + | 0.942435i | \(0.608530\pi\) |
−0.999641 | + | 0.0267953i | \(0.991470\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −958.296 | − | 696.243i | −0.214806 | − | 0.156066i | 0.475180 | − | 0.879889i | \(-0.342383\pi\) |
−0.689985 | + | 0.723823i | \(0.742383\pi\) | |||||||
\(272\) | 2299.39 | + | 1670.60i | 0.512577 | + | 0.372409i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6414.78 | 1.41435 | ||||||||
\(275\) | 6407.39 | − | 5901.11i | 1.40502 | − | 1.29400i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 471.254 | − | 1450.37i | 0.102220 | − | 0.314601i | −0.886848 | − | 0.462061i | \(-0.847110\pi\) |
0.989068 | + | 0.147461i | \(0.0471100\pi\) | |||||||
\(278\) | −2345.56 | − | 1704.15i | −0.506034 | − | 0.367655i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 667.457 | − | 260.530i | 0.142458 | − | 0.0556059i | ||||
\(281\) | 1904.06 | − | 1383.38i | 0.404224 | − | 0.293686i | −0.367035 | − | 0.930207i | \(-0.619627\pi\) |
0.771259 | + | 0.636521i | \(0.219627\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6266.38 | + | 4552.79i | −1.31625 | + | 0.956308i | −0.316275 | + | 0.948668i | \(0.602432\pi\) |
−0.999971 | + | 0.00764053i | \(0.997568\pi\) | |||||||
\(284\) | −4210.57 | − | 12958.8i | −0.879757 | − | 2.70761i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3045.58 | − | 9373.33i | 0.629682 | − | 1.93796i | ||||
\(287\) | −274.024 | − | 843.359i | −0.0563593 | − | 0.173456i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2735.31 | − | 8418.43i | 0.556750 | − | 1.71350i | ||||
\(290\) | 2775.55 | − | 1083.38i | 0.562019 | − | 0.219374i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −9004.48 | + | 6542.14i | −1.80461 | + | 1.31113i | ||||
\(293\) | 2728.74 | 0.544077 | 0.272039 | − | 0.962286i | \(-0.412302\pi\) | ||||
0.272039 | + | 0.962286i | \(0.412302\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 86.5430 | + | 1490.83i | 0.0170804 | + | 0.294236i | ||||
\(296\) | −1758.90 | − | 1277.92i | −0.345385 | − | 0.250937i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1846.40 | + | 5682.62i | −0.358922 | + | 1.10465i | ||||
\(299\) | 2724.21 | 0.526907 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −299.942 | −0.0574365 | ||||||||
\(302\) | −3977.69 | + | 12242.1i | −0.757915 | + | 2.33262i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1057.59 | + | 768.383i | 0.199529 | + | 0.144966i | ||||
\(305\) | −2663.31 | + | 4152.09i | −0.500003 | + | 0.779502i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2511.50 | 0.466901 | 0.233450 | − | 0.972369i | \(-0.424998\pi\) | ||||
0.233450 | + | 0.972369i | \(0.424998\pi\) | |||||||
\(308\) | −1754.45 | + | 1274.68i | −0.324574 | + | 0.235817i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −401.599 | − | 6918.14i | −0.0735783 | − | 1.26750i | ||||
\(311\) | 898.070 | − | 2763.98i | 0.163746 | − | 0.503957i | −0.835196 | − | 0.549952i | \(-0.814646\pi\) |
0.998942 | + | 0.0459950i | \(0.0146458\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 116.152 | + | 357.478i | 0.0209753 | + | 0.0645555i | 0.960996 | − | 0.276561i | \(-0.0891949\pi\) |
−0.940021 | + | 0.341117i | \(0.889195\pi\) | |||||||
\(314\) | −3807.47 | + | 11718.2i | −0.684293 | + | 2.10604i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −613.811 | − | 1889.12i | −0.109271 | − | 0.336301i | ||||
\(317\) | −2223.00 | + | 1615.10i | −0.393867 | + | 0.286161i | −0.767038 | − | 0.641601i | \(-0.778270\pi\) |
0.373171 | + | 0.927763i | \(0.378270\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3188.06 | + | 2316.26i | −0.559552 | + | 0.406539i | ||||
\(320\) | −4581.41 | + | 7142.40i | −0.800340 | + | 1.24773i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −757.980 | − | 550.705i | −0.131182 | − | 0.0953092i | ||||
\(323\) | 1956.37 | − | 6021.10i | 0.337014 | − | 1.03722i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 738.616 | − | 3677.90i | 0.126065 | − | 0.627732i | ||||
\(326\) | −14596.1 | −2.47976 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9584.90 | − | 6963.83i | −1.61353 | − | 1.17230i | ||||
\(329\) | 736.165 | + | 534.855i | 0.123362 | + | 0.0896278i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5147.60 | + | 3739.95i | −0.854797 | + | 0.621046i | −0.926464 | − | 0.376382i | \(-0.877168\pi\) |
0.0716677 | + | 0.997429i | \(0.477168\pi\) | |||||||
\(332\) | −11283.3 | −1.86522 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1971.96 | − | 6069.08i | −0.323057 | − | 0.994267i | ||||
\(335\) | −1149.45 | + | 448.669i | −0.187467 | + | 0.0731743i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1205.67 | − | 3710.68i | −0.194888 | − | 0.599803i | −0.999978 | − | 0.00665035i | \(-0.997883\pi\) |
0.805090 | − | 0.593153i | \(-0.202117\pi\) | |||||||
\(338\) | 1887.88 | + | 5810.29i | 0.303808 | + | 0.935024i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −18030.0 | − | 4722.57i | −2.87592 | − | 0.753287i | ||||
\(341\) | 2832.23 | + | 8716.72i | 0.449777 | + | 1.38427i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1491.92 | −0.234858 | ||||||||
\(344\) | −3242.04 | + | 2355.48i | −0.508138 | + | 0.369184i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9302.71 | − | 6758.82i | −1.44542 | − | 1.05016i | ||||
\(347\) | 8669.57 | + | 6298.81i | 1.34123 | + | 0.974461i | 0.999398 | + | 0.0347000i | \(0.0110476\pi\) |
0.341833 | + | 0.939761i | \(0.388952\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2182.48 | 0.334743 | 0.167371 | − | 0.985894i | \(-0.446472\pi\) | ||||
0.167371 | + | 0.985894i | \(0.446472\pi\) | |||||||
\(350\) | −949.005 | + | 874.019i | −0.144933 | + | 0.133481i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2582.47 | − | 7948.03i | 0.391040 | − | 1.20350i | ||||
\(353\) | −2719.98 | − | 1976.18i | −0.410112 | − | 0.297964i | 0.363535 | − | 0.931581i | \(-0.381570\pi\) |
−0.773647 | + | 0.633616i | \(0.781570\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6793.89 | + | 8293.92i | 1.01572 | + | 1.23999i | ||||
\(356\) | 993.166 | − | 721.577i | 0.147859 | − | 0.107426i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 10493.6 | − | 7624.04i | 1.54917 | − | 1.12554i | ||||
\(359\) | −3406.35 | − | 10483.7i | −0.500781 | − | 1.54125i | −0.807749 | − | 0.589526i | \(-0.799315\pi\) |
0.306968 | − | 0.951720i | \(-0.400685\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1219.73 | + | 3753.94i | −0.177829 | + | 0.547301i | ||||
\(362\) | −4284.25 | − | 13185.6i | −0.622032 | − | 1.91442i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −288.598 | + | 888.213i | −0.0415567 | + | 0.127898i | ||||
\(365\) | 4728.39 | − | 7371.54i | 0.678070 | − | 1.05711i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1920.20 | + | 1395.11i | −0.273116 | + | 0.198430i | −0.715909 | − | 0.698193i | \(-0.753988\pi\) |
0.442793 | + | 0.896624i | \(0.353988\pi\) | |||||||
\(368\) | −2199.06 | −0.311506 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3787.06 | + | 991.941i | 0.532107 | + | 0.139374i | ||||
\(371\) | 690.005 | + | 501.318i | 0.0965588 | + | 0.0701540i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1219.82 | + | 3754.22i | −0.169330 | + | 0.521143i | −0.999329 | − | 0.0366209i | \(-0.988341\pi\) |
0.830000 | + | 0.557764i | \(0.188341\pi\) | |||||||
\(374\) | 38529.7 | 5.32706 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 12157.4 | 1.66748 | ||||||||
\(377\) | −524.420 | + | 1614.00i | −0.0716420 | + | 0.220491i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3593.67 | − | 2610.95i | −0.487057 | − | 0.353867i | 0.316995 | − | 0.948427i | \(-0.397326\pi\) |
−0.804051 | + | 0.594560i | \(0.797326\pi\) | |||||||
\(380\) | −8292.76 | − | 2172.11i | −1.11950 | − | 0.293229i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4334.46 | 0.580550 | ||||||||
\(383\) | −2258.25 | + | 1640.71i | −0.301282 | + | 0.218895i | −0.728147 | − | 0.685421i | \(-0.759618\pi\) |
0.426864 | + | 0.904316i | \(0.359618\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 921.287 | − | 1436.28i | 0.121956 | − | 0.190129i | ||||
\(386\) | −6906.33 | + | 21255.5i | −0.910682 | + | 2.80279i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3770.45 | − | 11604.2i | −0.493339 | − | 1.51834i | ||||
\(389\) | 3117.28 | − | 9594.01i | 0.406305 | − | 1.25048i | −0.513496 | − | 0.858092i | \(-0.671650\pi\) |
0.919801 | − | 0.392386i | \(-0.128350\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3291.02 | + | 10128.7i | 0.425662 | + | 1.31005i | ||||
\(392\) | −8006.24 | + | 5816.87i | −1.03157 | + | 0.749481i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −18889.2 | + | 13723.8i | −2.41529 | + | 1.75481i | ||||
\(395\) | 990.404 | + | 1209.08i | 0.126159 | + | 0.154013i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 52.6650 | + | 38.2634i | 0.00665789 | + | 0.00483724i | 0.591109 | − | 0.806592i | \(-0.298690\pi\) |
−0.584451 | + | 0.811429i | \(0.698690\pi\) | |||||||
\(398\) | 4809.21 | − | 14801.2i | 0.605689 | − | 1.86412i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −596.232 | + | 2968.91i | −0.0745290 | + | 0.371113i | ||||
\(401\) | 343.841 | 0.0428194 | 0.0214097 | − | 0.999771i | \(-0.493185\pi\) | ||||
0.0214097 | + | 0.999771i | \(0.493185\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3193.25 | + | 2320.03i | 0.394707 | + | 0.286772i | ||||
\(404\) | −10918.8 | − | 7932.97i | −1.34463 | − | 0.976931i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 472.187 | − | 343.064i | 0.0577198 | − | 0.0419359i | ||||
\(407\) | −5177.71 | −0.630588 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −797.299 | − | 2453.83i | −0.0963909 | − | 0.296661i | 0.891223 | − | 0.453566i | \(-0.149848\pi\) |
−0.987614 | + | 0.156905i | \(0.949848\pi\) | |||||||
\(410\) | 20637.1 | + | 5405.45i | 2.48583 | + | 0.651113i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6269.00 | + | 19294.0i | 0.749639 | + | 2.30715i | ||||
\(413\) | 90.3975 | + | 278.215i | 0.0107704 | + | 0.0331478i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8270.50 | − | 3228.24i | 0.978272 | − | 0.381851i | ||||
\(416\) | −1112.15 | − | 3422.85i | −0.131076 | − | 0.403411i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 17721.4 | 2.07365 | ||||||||
\(419\) | 6475.44 | − | 4704.68i | 0.755003 | − | 0.548541i | −0.142371 | − | 0.989813i | \(-0.545473\pi\) |
0.897373 | + | 0.441272i | \(0.145473\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6698.20 | + | 4866.53i | 0.775416 | + | 0.563373i | 0.903600 | − | 0.428378i | \(-0.140915\pi\) |
−0.128184 | + | 0.991750i | \(0.540915\pi\) | |||||||
\(422\) | −2078.57 | − | 1510.17i | −0.239771 | − | 0.174204i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 11395.1 | 1.30518 | ||||||||
\(425\) | 14566.9 | − | 1696.93i | 1.66258 | − | 0.193678i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −298.604 | + | 919.008i | −0.0338418 | + | 0.104154i | ||||
\(428\) | 10150.2 | + | 7374.52i | 1.14632 | + | 0.832852i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3895.94 | − | 6073.75i | 0.436928 | − | 0.681168i | ||||
\(431\) | −2123.78 | + | 1543.02i | −0.237353 | + | 0.172447i | −0.700103 | − | 0.714042i | \(-0.746863\pi\) |
0.462750 | + | 0.886489i | \(0.346863\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3995.26 | − | 2902.73i | 0.443418 | − | 0.322162i | −0.343574 | − | 0.939126i | \(-0.611638\pi\) |
0.786992 | + | 0.616964i | \(0.211638\pi\) | |||||||
\(434\) | −419.485 | − | 1291.04i | −0.0463962 | − | 0.142793i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4808.33 | + | 14798.5i | −0.528159 | + | 1.62551i | ||||
\(437\) | 1513.68 | + | 4658.63i | 0.165696 | + | 0.509960i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3507.87 | + | 10796.1i | −0.381370 | + | 1.17374i | 0.557709 | + | 0.830036i | \(0.311680\pi\) |
−0.939079 | + | 0.343700i | \(0.888320\pi\) | |||||||
\(440\) | −1321.20 | − | 22759.6i | −0.143149 | − | 2.46596i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 13424.0 | − | 9753.09i | 1.44460 | − | 1.04956i | ||||
\(443\) | −5354.56 | −0.574272 | −0.287136 | − | 0.957890i | \(-0.592703\pi\) | ||||
−0.287136 | + | 0.957890i | \(0.592703\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −521.527 | + | 813.057i | −0.0555567 | + | 0.0866126i | ||||
\(446\) | −16352.1 | − | 11880.5i | −1.73609 | − | 1.26134i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −513.656 | + | 1580.87i | −0.0541696 | + | 0.166717i | ||||
\(449\) | 10134.8 | 1.06524 | 0.532620 | − | 0.846354i | \(-0.321207\pi\) | ||||
0.532620 | + | 0.846354i | \(0.321207\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −28215.2 | −2.94591 | ||||||||
\(452\) | −5654.88 | + | 17403.9i | −0.588458 | + | 1.81109i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1753.69 | + | 1274.13i | 0.181288 | + | 0.131713i | ||||
\(455\) | −42.5865 | − | 733.617i | −0.00438788 | − | 0.0755879i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2257.95 | −0.231121 | −0.115561 | − | 0.993300i | \(-0.536866\pi\) | ||||
−0.115561 | + | 0.993300i | \(0.536866\pi\) | |||||||
\(458\) | 22277.9 | − | 16185.8i | 2.27288 | − | 1.65134i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 13433.6 | − | 5243.57i | 1.36162 | − | 0.531484i | ||||
\(461\) | 4601.16 | − | 14160.9i | 0.464853 | − | 1.43067i | −0.394313 | − | 0.918976i | \(-0.629017\pi\) |
0.859167 | − | 0.511696i | \(-0.170983\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 220.828 | + | 679.638i | 0.0221657 | + | 0.0682191i | 0.961528 | − | 0.274709i | \(-0.0885814\pi\) |
−0.939362 | + | 0.342928i | \(0.888581\pi\) | |||||||
\(464\) | 423.327 | − | 1302.87i | 0.0423545 | − | 0.130354i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5675.59 | − | 17467.7i | −0.564198 | − | 1.73642i | ||||
\(467\) | 11204.4 | − | 8140.46i | 1.11023 | − | 0.806629i | 0.127530 | − | 0.991835i | \(-0.459295\pi\) |
0.982700 | + | 0.185206i | \(0.0592951\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −195.550 | + | 142.075i | −0.0192530 | + | 0.0139881i | ||||
\(470\) | −20392.7 | + | 7959.93i | −2.00137 | + | 0.781200i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3161.95 | + | 2297.29i | 0.308349 | + | 0.224029i | ||||
\(473\) | −2949.16 | + | 9076.57i | −0.286686 | + | 0.882328i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6699.92 | − | 780.492i | 0.647186 | − | 0.0753925i | ||||
\(476\) | −3651.05 | −0.351567 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −23712.8 | − | 17228.3i | −2.26903 | − | 1.64855i | ||||
\(479\) | −7721.46 | − | 5609.97i | −0.736540 | − | 0.535128i | 0.155086 | − | 0.987901i | \(-0.450435\pi\) |
−0.891626 | + | 0.452773i | \(0.850435\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1803.95 | + | 1310.64i | −0.171004 | + | 0.124242i | ||||
\(482\) | −11758.1 | −1.11113 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 15478.5 | + | 47638.0i | 1.45365 | + | 4.47389i | ||||
\(485\) | 6083.74 | + | 7426.98i | 0.569585 | + | 0.695344i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4971.26 | + | 15300.0i | 0.462566 | + | 1.42363i | 0.862019 | + | 0.506877i | \(0.169200\pi\) |
−0.399453 | + | 0.916754i | \(0.630800\pi\) | |||||||
\(488\) | 3989.51 | + | 12278.4i | 0.370075 | + | 1.13897i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 9621.04 | − | 14999.1i | 0.887008 | − | 1.38284i | ||||
\(491\) | 1377.21 | + | 4238.63i | 0.126584 | + | 0.389585i | 0.994186 | − | 0.107673i | \(-0.0343400\pi\) |
−0.867602 | + | 0.497259i | \(0.834340\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −6634.45 | −0.606086 | ||||||||
\(494\) | 6174.26 | − | 4485.86i | 0.562334 | − | 0.408560i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2577.68 | − | 1872.80i | −0.233350 | − | 0.169538i | ||||
\(497\) | 1699.10 | + | 1234.47i | 0.153350 | + | 0.111415i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −15914.9 | −1.42776 | −0.713878 | − | 0.700270i | \(-0.753063\pi\) | ||||
−0.713878 | + | 0.700270i | \(0.753063\pi\) | |||||||
\(500\) | −3436.97 | − | 19558.1i | −0.307412 | − | 1.74933i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9885.95 | + | 30425.8i | −0.878947 | + | 2.70512i | ||||
\(503\) | −3391.75 | − | 2464.25i | −0.300658 | − | 0.218441i | 0.427220 | − | 0.904148i | \(-0.359493\pi\) |
−0.727877 | + | 0.685707i | \(0.759493\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10273.0 | + | 2690.80i | 0.905232 | + | 0.237107i | ||||
\(506\) | −24117.7 | + | 17522.5i | −2.11890 | + | 1.53947i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −12087.4 | + | 8782.01i | −1.05569 | + | 0.767005i | ||||
\(509\) | −1242.10 | − | 3822.80i | −0.108163 | − | 0.332893i | 0.882296 | − | 0.470694i | \(-0.155996\pi\) |
−0.990460 | + | 0.137801i | \(0.955996\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 530.135 | − | 1631.59i | 0.0458939 | − | 0.141247i | ||||
\(512\) | 2650.18 | + | 8156.41i | 0.228755 | + | 0.704035i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 3288.76 | − | 10121.8i | 0.282220 | − | 0.868584i | ||||
\(515\) | −10115.2 | − | 12348.6i | −0.865496 | − | 1.05659i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 23423.6 | − | 17018.2i | 1.99259 | − | 1.44770i | ||||
\(518\) | 766.876 | 0.0650475 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −6221.50 | − | 7595.15i | −0.524674 | − | 0.640518i | ||||
\(521\) | 16843.1 | + | 12237.2i | 1.41633 | + | 1.02903i | 0.992363 | + | 0.123348i | \(0.0393631\pi\) |
0.423968 | + | 0.905677i | \(0.360637\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4858.36 | + | 14952.5i | −0.406197 | + | 1.25015i | 0.513694 | + | 0.857974i | \(0.328277\pi\) |
−0.919891 | + | 0.392174i | \(0.871723\pi\) | |||||||
\(524\) | 27988.5 | 2.33336 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −15880.4 | −1.31639 | ||||||||
\(527\) | −4768.31 | + | 14675.4i | −0.394138 | + | 1.21303i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3176.96 | + | 2308.19i | 0.261113 | + | 0.189709i | ||||
\(530\) | −19114.0 | + | 7460.81i | −1.56653 | + | 0.611466i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1679.28 | −0.136853 | ||||||||
\(533\) | −9830.36 | + | 7142.18i | −0.798875 | + | 0.580417i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −9549.81 | − | 2501.37i | −0.771728 | − | 0.202138i | ||||
\(536\) | −997.944 | + | 3071.36i | −0.0804190 | + | 0.247504i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −10594.6 | − | 32606.8i | −0.849006 | − | 2.61297i | ||||
\(539\) | −7282.95 | + | 22414.6i | −0.582002 | + | 1.79122i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −3747.64 | − | 11534.1i | −0.297826 | − | 0.916613i | −0.982258 | − | 0.187537i | \(-0.939950\pi\) |
0.684432 | − | 0.729077i | \(-0.260050\pi\) | |||||||
\(542\) | 4516.12 | − | 3281.15i | 0.357904 | − | 0.260032i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 11382.7 | − | 8270.03i | 0.897115 | − | 0.651792i | ||||
\(545\) | −709.534 | − | 12222.8i | −0.0557672 | − | 0.960673i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7149.70 | + | 5194.56i | 0.558865 | + | 0.406039i | 0.831043 | − | 0.556208i | \(-0.187744\pi\) |
−0.272178 | + | 0.962247i | \(0.587744\pi\) | |||||||
\(548\) | −5976.75 | + | 18394.5i | −0.465901 | + | 1.43390i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 17117.7 | + | 37311.6i | 1.32710 | + | 2.89268i | ||||
\(551\) | −3051.47 | −0.235929 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 247.693 | + | 179.959i | 0.0190470 | + | 0.0138384i | ||||
\(554\) | 5814.28 | + | 4224.32i | 0.445893 | + | 0.323961i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 7072.09 | − | 5138.17i | 0.539431 | − | 0.391919i | ||||
\(557\) | −3059.58 | −0.232744 | −0.116372 | − | 0.993206i | \(-0.537127\pi\) | ||||
−0.116372 | + | 0.993206i | \(0.537127\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1270.06 | + | 3908.86i | 0.0960966 | + | 0.295755i | ||||
\(560\) | 34.3771 | + | 592.197i | 0.00259410 | + | 0.0446873i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3427.45 | + | 10548.6i | 0.257257 | + | 0.791756i | ||||
\(563\) | 5711.65 | + | 17578.7i | 0.427562 | + | 1.31590i | 0.900519 | + | 0.434816i | \(0.143187\pi\) |
−0.472957 | + | 0.881085i | \(0.656813\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −834.453 | − | 14374.7i | −0.0621340 | − | 1.07035i | ||||
\(566\) | −11279.9 | − | 34716.1i | −0.837687 | − | 2.57814i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 28059.8 | 2.07282 | ||||||||
\(569\) | −21450.9 | + | 15585.0i | −1.58044 | + | 1.14826i | −0.664251 | + | 0.747509i | \(0.731249\pi\) |
−0.916189 | + | 0.400747i | \(0.868751\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 469.169 | + | 340.871i | 0.0343855 | + | 0.0249825i | 0.604845 | − | 0.796343i | \(-0.293235\pi\) |
−0.570460 | + | 0.821326i | \(0.693235\pi\) | |||||||
\(572\) | 24040.7 | + | 17466.6i | 1.75733 | + | 1.27677i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4178.99 | 0.303881 | ||||||||
\(575\) | −8346.40 | + | 7686.91i | −0.605338 | + | 0.557507i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4891.04 | − | 15053.1i | 0.352889 | − | 1.08608i | −0.604335 | − | 0.796731i | \(-0.706561\pi\) |
0.957224 | − | 0.289350i | \(-0.0934390\pi\) | |||||||
\(578\) | 33748.0 | + | 24519.3i | 2.42860 | + | 1.76448i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 520.614 | + | 8968.35i | 0.0372712 | + | 0.642053i | ||||
\(581\) | 1407.01 | − | 1022.25i | 0.100469 | − | 0.0729953i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 21954.8 | − | 15951.1i | 1.55965 | − | 1.13315i | ||||
\(584\) | −7082.89 | − | 21798.9i | −0.501870 | − | 1.54460i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3973.83 | + | 12230.2i | −0.280132 | + | 0.862159i | ||||
\(587\) | 1033.54 | + | 3180.90i | 0.0726722 | + | 0.223662i | 0.980795 | − | 0.195042i | \(-0.0624844\pi\) |
−0.908123 | + | 0.418704i | \(0.862484\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2193.15 | + | 6749.83i | −0.153425 | + | 0.472193i | ||||
\(590\) | −6807.94 | − | 1783.20i | −0.475049 | − | 0.124429i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1456.20 | − | 1057.99i | 0.101097 | − | 0.0734512i | ||||
\(593\) | 3265.57 | 0.226140 | 0.113070 | − | 0.993587i | \(-0.463932\pi\) | ||||
0.113070 | + | 0.993587i | \(0.463932\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2676.17 | − | 1044.59i | 0.184390 | − | 0.0719734i | ||||
\(596\) | −14574.7 | − | 10589.2i | −1.00169 | − | 0.727767i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3967.24 | + | 12209.9i | −0.271292 | + | 0.834950i | ||||
\(599\) | −14508.4 | −0.989645 | −0.494822 | − | 0.868994i | \(-0.664767\pi\) | ||||
−0.494822 | + | 0.868994i | \(0.664767\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1098.44 | 0.0745530 | 0.0372765 | − | 0.999305i | \(-0.488132\pi\) | ||||
0.0372765 | + | 0.999305i | \(0.488132\pi\) | |||||||
\(602\) | 436.803 | − | 1344.34i | 0.0295727 | − | 0.0910153i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −31398.4 | − | 22812.2i | −2.11520 | − | 1.53678i | ||||
\(605\) | −24975.1 | − | 30489.4i | −1.67832 | − | 2.04887i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −17611.8 | −1.17766 | −0.588829 | − | 0.808257i | \(-0.700411\pi\) | ||||
−0.588829 | + | 0.808257i | \(0.700411\pi\) | |||||||
\(608\) | 5235.40 | − | 3803.74i | 0.349217 | − | 0.253721i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −14731.1 | − | 17983.6i | −0.977779 | − | 1.19366i | ||||
\(611\) | 3853.06 | − | 11858.5i | 0.255120 | − | 0.785178i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4303.56 | + | 13245.0i | 0.283555 | + | 0.872692i | 0.986828 | + | 0.161772i | \(0.0517210\pi\) |
−0.703273 | + | 0.710919i | \(0.748279\pi\) | |||||||
\(614\) | −3657.46 | + | 11256.5i | −0.240396 | + | 0.739863i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1380.04 | − | 4247.33i | −0.0902653 | − | 0.277808i | ||||
\(617\) | −12667.0 | + | 9203.14i | −0.826508 | + | 0.600493i | −0.918569 | − | 0.395260i | \(-0.870654\pi\) |
0.0920612 | + | 0.995753i | \(0.470654\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −9733.13 | + | 7071.54i | −0.632000 | + | 0.459175i | −0.857092 | − | 0.515163i | \(-0.827731\pi\) |
0.225093 | + | 0.974337i | \(0.427731\pi\) | |||||||
\(620\) | 20212.1 | + | 5294.14i | 1.30926 | + | 0.342932i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 11080.3 | + | 8050.30i | 0.714275 | + | 0.518951i | ||||
\(623\) | −58.4722 | + | 179.959i | −0.00376026 | + | 0.0115729i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8114.97 | + | 13352.5i | 0.519358 | + | 0.854557i | ||||
\(626\) | −1771.37 | −0.113096 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −30054.7 | − | 21836.0i | −1.90973 | − | 1.38750i | ||||
\(629\) | −7052.30 | − | 5123.80i | −0.447049 | − | 0.324800i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5492.97 | + | 3990.88i | −0.346548 | + | 0.251782i | −0.747419 | − | 0.664353i | \(-0.768707\pi\) |
0.400872 | + | 0.916134i | \(0.368707\pi\) | |||||||
\(632\) | 4090.53 | 0.257456 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −4001.55 | − | 12315.5i | −0.250666 | − | 0.771470i | ||||
\(635\) | 6347.28 | − | 9895.37i | 0.396668 | − | 0.618403i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3136.43 | + | 9652.94i | 0.195086 | + | 0.600413i | ||||
\(638\) | −5738.74 | − | 17662.0i | −0.356111 | − | 1.09600i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −18543.3 | − | 22637.5i | −1.14529 | − | 1.39816i | ||||
\(641\) | −4738.38 | − | 14583.2i | −0.291973 | − | 0.898600i | −0.984221 | − | 0.176941i | \(-0.943380\pi\) |
0.692249 | − | 0.721659i | \(-0.256620\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −6133.45 | −0.376173 | −0.188087 | − | 0.982152i | \(-0.560229\pi\) | ||||
−0.188087 | + | 0.982152i | \(0.560229\pi\) | |||||||
\(644\) | 2285.38 | − | 1660.43i | 0.139839 | − | 0.101599i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 24137.5 | + | 17536.9i | 1.47009 | + | 1.06808i | ||||
\(647\) | 15511.8 | + | 11270.0i | 0.942554 | + | 0.684805i | 0.949034 | − | 0.315174i | \(-0.102063\pi\) |
−0.00648045 | + | 0.999979i | \(0.502063\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 9307.90 | 0.562969 | ||||||||
\(650\) | 15408.7 | + | 8666.56i | 0.929813 | + | 0.522970i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 13599.4 | − | 41854.5i | 0.816859 | − | 2.51403i | ||||
\(653\) | 26.1050 | + | 18.9664i | 0.00156442 | + | 0.00113662i | 0.588567 | − | 0.808448i | \(-0.299692\pi\) |
−0.587003 | + | 0.809585i | \(0.699692\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −20515.1 | + | 8007.70i | −1.22380 | + | 0.477690i | ||||
\(656\) | 7935.36 | − | 5765.37i | 0.472292 | − | 0.343140i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3469.29 | + | 2520.59i | −0.205543 | + | 0.149335i | ||||
\(659\) | −7750.36 | − | 23853.2i | −0.458136 | − | 1.41000i | −0.867414 | − | 0.497587i | \(-0.834220\pi\) |
0.409279 | − | 0.912409i | \(-0.365780\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2323.83 | − | 7152.00i | 0.136742 | − | 0.420848i | −0.859115 | − | 0.511782i | \(-0.828985\pi\) |
0.995857 | + | 0.0909345i | \(0.0289854\pi\) | |||||||
\(662\) | −9266.06 | − | 28518.0i | −0.544011 | − | 1.67429i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 7180.36 | − | 22098.9i | 0.419657 | − | 1.29157i | ||||
\(665\) | 1230.88 | − | 480.453i | 0.0717769 | − | 0.0280168i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4152.84 | − | 3017.21i | 0.241077 | − | 0.175153i | ||||
\(668\) | 19240.5 | 1.11443 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −336.995 | − | 5805.24i | −0.0194317 | − | 0.334740i | ||||
\(671\) | 24874.2 | + | 18072.1i | 1.43108 | + | 1.03974i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7958.41 | − | 24493.5i | 0.455831 | − | 1.40290i | −0.414326 | − | 0.910129i | \(-0.635983\pi\) |
0.870157 | − | 0.492775i | \(-0.164017\pi\) | |||||||
\(674\) | 18387.1 | 1.05081 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −18420.1 | −1.04803 | ||||||||
\(677\) | −583.981 | + | 1797.31i | −0.0331525 | + | 0.102033i | −0.966263 | − | 0.257556i | \(-0.917083\pi\) |
0.933111 | + | 0.359588i | \(0.117083\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1521.50 | + | 1105.43i | 0.0859937 | + | 0.0624781i | ||||
\(680\) | 20723.1 | − | 32307.2i | 1.16867 | − | 1.82195i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −43192.9 | −2.42513 | ||||||||
\(683\) | −10288.0 | + | 7474.69i | −0.576369 | + | 0.418757i | −0.837413 | − | 0.546570i | \(-0.815933\pi\) |
0.261044 | + | 0.965327i | \(0.415933\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −881.950 | − | 15192.9i | −0.0491935 | − | 0.847432i | ||||
\(686\) | 2172.67 | − | 6686.79i | 0.120923 | − | 0.372162i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1025.23 | − | 3155.34i | −0.0568120 | − | 0.174849i | ||||
\(689\) | 3611.46 | − | 11114.9i | 0.199689 | − | 0.614580i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −251.500 | − | 774.039i | −0.0138459 | − | 0.0426133i | 0.943895 | − | 0.330246i | \(-0.107132\pi\) |
−0.957741 | + | 0.287633i | \(0.907132\pi\) | |||||||
\(692\) | 28048.6 | − | 20378.5i | 1.54082 | − | 1.11947i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −40856.7 | + | 29684.1i | −2.23472 | + | 1.62362i | ||||
\(695\) | −3713.66 | + | 5789.58i | −0.202687 | + | 0.315987i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −38430.6 | − | 27921.5i | −2.08847 | − | 1.51736i | ||||
\(698\) | −3178.32 | + | 9781.85i | −0.172351 | + | 0.530442i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1622.07 | − | 3535.63i | −0.0875835 | − | 0.190906i | ||||
\(701\) | −12443.3 | −0.670437 | −0.335219 | − | 0.942140i | \(-0.608810\pi\) | ||||
−0.335219 | + | 0.942140i | \(0.608810\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3243.66 | − | 2356.65i | −0.174021 | − | 0.126434i | ||||
\(704\) | 42788.4 | + | 31087.6i | 2.29069 | + | 1.66429i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 12818.3 | − | 9313.04i | 0.683319 | − | 0.496460i | ||||
\(707\) | 2080.27 | 0.110660 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1995.93 | − | 6142.85i | −0.105725 | − | 0.325387i | 0.884175 | − | 0.467156i | \(-0.154721\pi\) |
−0.989900 | + | 0.141768i | \(0.954721\pi\) | |||||||
\(710\) | −47067.2 | + | 18371.8i | −2.48789 | + | 0.971102i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 781.220 | + | 2404.35i | 0.0411200 | + | 0.126554i | ||||
\(713\) | −3689.33 | − | 11354.6i | −0.193782 | − | 0.596399i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −22618.7 | − | 5924.51i | −1.18307 | − | 0.309880i | ||||
\(716\) | 12085.1 | + | 37194.1i | 0.630784 | + | 1.94135i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 51948.5 | 2.70014 | ||||||||
\(719\) | 10070.8 | − | 7316.89i | 0.522363 | − | 0.379519i | −0.295130 | − | 0.955457i | \(-0.595363\pi\) |
0.817493 | + | 0.575938i | \(0.195363\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2529.74 | − | 1837.97i | −0.130669 | − | 0.0949368i | ||||
\(722\) | −15048.9 | − | 10933.6i | −0.775707 | − | 0.563584i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 41801.7 | 2.14578 | ||||||||
\(725\) | −2947.51 | − | 6424.71i | −0.150990 | − | 0.329114i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2165.86 | + | 6665.83i | −0.110491 | + | 0.340058i | −0.990980 | − | 0.134010i | \(-0.957215\pi\) |
0.880489 | + | 0.474067i | \(0.157215\pi\) | |||||||
\(728\) | −1555.95 | − | 1130.46i | −0.0792133 | − | 0.0575519i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 26153.3 | + | 31927.7i | 1.32600 | + | 1.61877i | ||||
\(731\) | −12999.0 | + | 9444.30i | −0.657707 | + | 0.477852i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −18335.1 | + | 13321.2i | −0.923906 | + | 0.671257i | −0.944493 | − | 0.328531i | \(-0.893446\pi\) |
0.0205872 | + | 0.999788i | \(0.493446\pi\) | |||||||
\(734\) | −3456.50 | − | 10638.0i | −0.173817 | − | 0.534954i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3363.98 | + | 10353.3i | −0.168476 | + | 0.518514i | ||||
\(737\) | 2376.62 | + | 7314.49i | 0.118784 | + | 0.365580i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 9762.50 | − | 30045.9i | 0.485953 | − | 1.49561i | −0.344642 | − | 0.938734i | \(-0.612000\pi\) |
0.830595 | − | 0.556876i | \(-0.188000\pi\) | |||||||
\(740\) | −6372.87 | + | 9935.27i | −0.316583 | + | 0.493551i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3251.76 | + | 2362.54i | −0.160884 | + | 0.116889i | ||||
\(743\) | −3878.19 | −0.191490 | −0.0957449 | − | 0.995406i | \(-0.530523\pi\) | ||||
−0.0957449 | + | 0.995406i | \(0.530523\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 13712.7 | + | 3591.76i | 0.674355 | + | 0.176633i | ||||
\(746\) | −15050.0 | − | 10934.5i | −0.738633 | − | 0.536648i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −35898.7 | + | 110485.i | −1.75479 | + | 5.40070i | ||||
\(749\) | −1933.83 | −0.0943399 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 26124.2 | 1.26935 | 0.634677 | − | 0.772778i | \(-0.281133\pi\) | ||||
0.634677 | + | 0.772778i | \(0.281133\pi\) | |||||||
\(752\) | −3110.30 | + | 9572.53i | −0.150826 | + | 0.464195i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −6470.24 | − | 4700.90i | −0.312509 | − | 0.227051i | ||||
\(755\) | 29541.3 | + | 7737.72i | 1.42400 | + | 0.372986i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 8989.00 | 0.431586 | 0.215793 | − | 0.976439i | \(-0.430766\pi\) | ||||
0.215793 | + | 0.976439i | \(0.430766\pi\) | |||||||
\(758\) | 16935.7 | − | 12304.5i | 0.811521 | − | 0.589605i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9531.44 | − | 14859.5i | 0.454923 | − | 0.709223i | ||||
\(761\) | 2883.92 | − | 8875.79i | 0.137374 | − | 0.422795i | −0.858577 | − | 0.512684i | \(-0.828651\pi\) |
0.995952 | + | 0.0898889i | \(0.0286512\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −741.135 | − | 2280.98i | −0.0351650 | − | 0.108227i | ||||
\(764\) | −4038.48 | + | 12429.2i | −0.191240 | + | 0.588575i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −4065.01 | − | 12510.8i | −0.191743 | − | 0.590123i | ||||
\(767\) | 3242.93 | − | 2356.13i | 0.152667 | − | 0.110919i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10026.5 | − | 7284.68i | 0.470175 | − | 0.341602i | −0.327334 | − | 0.944909i | \(-0.606150\pi\) |
0.797510 | + | 0.603306i | \(0.206150\pi\) | |||||||
\(770\) | 5095.75 | + | 6220.85i | 0.238491 | + | 0.291148i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −54516.0 | − | 39608.2i | −2.54154 | − | 1.84654i | ||||
\(773\) | −1319.96 | + | 4062.43i | −0.0614176 | + | 0.189024i | −0.977058 | − | 0.212975i | \(-0.931685\pi\) |
0.915640 | + | 0.401999i | \(0.131685\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −16329.9 | + | 1902.31i | −0.756885 | + | 0.0881717i | ||||
\(776\) | 25126.8 | 1.16237 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 38460.7 | + | 27943.3i | 1.77234 | + | 1.28768i | ||||
\(779\) | −17675.9 | − | 12842.3i | −0.812970 | − | 0.590658i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 54062.6 | − | 39278.8i | 2.47697 | − | 1.79962i | ||||
\(782\) | −50189.6 | −2.29511 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2531.82 | − | 7792.13i | −0.115334 | − | 0.354962i | ||||
\(785\) | 28277.1 | + | 7406.59i | 1.28567 | + | 0.336755i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 10262.1 | + | 31583.6i | 0.464809 | + | 1.43054i | 0.859222 | + | 0.511603i | \(0.170948\pi\) |
−0.394412 | + | 0.918934i | \(0.629052\pi\) | |||||||
\(788\) | −21754.0 | − | 66952.1i | −0.983446 | − | 3.02674i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −6861.40 | + | 2678.22i | −0.309010 | + | 0.120616i | ||||
\(791\) | −871.618 | − | 2682.57i | −0.0391797 | − | 0.120583i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 13241.0 | 0.592938 | ||||||||
\(794\) | −248.192 | + | 180.322i | −0.0110932 | + | 0.00805968i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 37962.1 | + | 27581.1i | 1.69037 | + | 1.22812i | ||||
\(797\) | −15449.2 | − | 11224.5i | −0.686625 | − | 0.498862i | 0.188924 | − | 0.981992i | \(-0.439500\pi\) |
−0.875549 | + | 0.483129i | \(0.839500\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 48745.1 | 2.15830 | ||||||||
\(800\) | 13065.6 | + | 7348.72i | 0.577426 | + | 0.324771i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −500.732 | + | 1541.09i | −0.0220467 | + | 0.0678528i | ||||
\(803\) | −44161.1 | − | 32084.9i | −1.94074 | − | 1.41003i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1200.09 | + | 1870.93i | −0.0525436 | + | 0.0819151i | ||||
\(806\) | −15048.7 | + | 10933.5i | −0.657651 | + | 0.477811i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 22485.5 | − | 16336.6i | 0.979004 | − | 0.711288i | ||||
\(809\) | 3242.38 | + | 9979.01i | 0.140910 | + | 0.433675i | 0.996462 | − | 0.0840404i | \(-0.0267825\pi\) |
−0.855553 | + | 0.517716i | \(0.826782\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −4669.43 | + | 14371.0i | −0.202177 | + | 0.622238i | 0.797640 | + | 0.603134i | \(0.206081\pi\) |
−0.999817 | + | 0.0191044i | \(0.993919\pi\) | |||||||
\(812\) | 543.801 | + | 1673.65i | 0.0235020 | + | 0.0723319i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 7540.24 | − | 23206.5i | 0.324675 | − | 0.999246i | ||||
\(815\) | 2006.77 | + | 34569.6i | 0.0862504 | + | 1.48579i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −5978.78 | + | 4343.84i | −0.256023 | + | 0.186012i | ||||
\(818\) | 12159.2 | 0.519726 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −34728.1 | + | 54141.0i | −1.47897 | + | 2.30571i | ||||
\(821\) | 14601.4 | + | 10608.5i | 0.620696 | + | 0.450962i | 0.853164 | − | 0.521642i | \(-0.174680\pi\) |
−0.232469 | + | 0.972604i | \(0.574680\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3447.20 | − | 10609.4i | 0.146005 | − | 0.449356i | −0.851134 | − | 0.524948i | \(-0.824085\pi\) |
0.997139 | + | 0.0755923i | \(0.0240848\pi\) | |||||||
\(824\) | −41777.5 | −1.76625 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1378.60 | −0.0580723 | ||||||||
\(827\) | −11247.3 | + | 34615.7i | −0.472924 | + | 1.45551i | 0.375813 | + | 0.926696i | \(0.377364\pi\) |
−0.848737 | + | 0.528815i | \(0.822636\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −534.843 | − | 388.586i | −0.0224075 | − | 0.0162800i | 0.576525 | − | 0.817079i | \(-0.304408\pi\) |
−0.598933 | + | 0.800799i | \(0.704408\pi\) | |||||||
\(830\) | 2424.73 | + | 41769.6i | 0.101402 | + | 1.74680i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 22777.0 | 0.949098 | ||||||||
\(833\) | −32101.0 | + | 23322.7i | −1.33521 | + | 0.970090i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −14103.0 | + | 5504.86i | −0.584497 | + | 0.228148i | ||||
\(836\) | −16511.3 | + | 50816.7i | −0.683082 | + | 2.10231i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 11656.3 | + | 35874.3i | 0.480500 | + | 1.47883i | ||||
\(839\) | 2484.70 | − | 7647.12i | 0.102242 | − | 0.314670i | −0.886831 | − | 0.462094i | \(-0.847098\pi\) |
0.989073 | + | 0.147424i | \(0.0470982\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6548.46 | − | 20154.1i | −0.268500 | − | 0.826359i | ||||
\(842\) | −31566.3 | + | 22934.2i | −1.29198 | + | 0.938677i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 6267.10 | − | 4553.31i | 0.255595 | − | 0.185701i | ||||
\(845\) | 13501.7 | − | 5270.13i | 0.549670 | − | 0.214554i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −6246.08 | − | 4538.04i | −0.253386 | − | 0.184096i | ||||
\(848\) | −2915.28 | + | 8972.30i | −0.118056 | + | 0.363338i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −13607.9 | + | 67759.8i | −0.549114 | + | 2.73429i | ||||
\(851\) | 6744.59 | 0.271682 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −37140.0 | − | 26983.8i | −1.49080 | − | 1.08313i | −0.973872 | − | 0.227096i | \(-0.927077\pi\) |
−0.516924 | − | 0.856031i | \(-0.672923\pi\) | |||||||
\(854\) | −3684.14 | − | 2676.68i | −0.147621 | − | 0.107253i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −20902.6 | + | 15186.6i | −0.834620 | + | 0.606387i | ||||
\(857\) | 30777.8 | 1.22678 | 0.613390 | − | 0.789780i | \(-0.289805\pi\) | ||||
0.613390 | + | 0.789780i | \(0.289805\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5148.71 | − | 15846.1i | −0.204507 | − | 0.629408i | −0.999733 | − | 0.0230952i | \(-0.992648\pi\) |
0.795226 | − | 0.606313i | \(-0.207352\pi\) | |||||||
\(860\) | 13786.7 | + | 16830.7i | 0.546655 | + | 0.667351i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −3822.96 | − | 11765.9i | −0.151056 | − | 0.464904i | ||||
\(863\) | 10760.5 | + | 33117.5i | 0.424441 | + | 1.30630i | 0.903528 | + | 0.428528i | \(0.140968\pi\) |
−0.479087 | + | 0.877767i | \(0.659032\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −14728.7 | + | 22962.0i | −0.578950 | + | 0.902580i | ||||
\(866\) | 7191.76 | + | 22134.0i | 0.282201 | + | 0.868525i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 4092.94 | 0.160050 | ||||||||
\(869\) | 7881.18 | − | 5726.01i | 0.307653 | − | 0.223523i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2679.56 | + | 1946.81i | 0.104240 | + | 0.0757351i | ||||
\(872\) | −25923.7 | − | 18834.7i | −1.00675 | − | 0.731447i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −23084.3 | −0.893409 | ||||||||
\(875\) | 2200.52 | + | 2127.48i | 0.0850186 | + | 0.0821965i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8899.64 | + | 27390.3i | −0.342668 | + | 1.05462i | 0.620153 | + | 0.784481i | \(0.287071\pi\) |
−0.962821 | + | 0.270142i | \(0.912929\pi\) | |||||||
\(878\) | −43279.7 | − | 31444.5i | −1.66357 | − | 1.20866i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 18258.5 | + | 4782.44i | 0.699425 | + | 0.183200i | ||||
\(881\) | 14439.4 | − | 10490.9i | 0.552187 | − | 0.401188i | −0.276404 | − | 0.961042i | \(-0.589143\pi\) |
0.828591 | + | 0.559854i | \(0.189143\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −28161.1 | + | 20460.2i | −1.07327 | + | 0.779774i | −0.976497 | − | 0.215533i | \(-0.930851\pi\) |
−0.0967705 | + | 0.995307i | \(0.530851\pi\) | |||||||
\(884\) | 15459.9 | + | 47580.7i | 0.588204 | + | 1.81031i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 7797.78 | − | 23999.1i | 0.295679 | − | 0.910007i | ||||
\(887\) | −3975.00 | − | 12233.8i | −0.150470 | − | 0.463100i | 0.847203 | − | 0.531269i | \(-0.178285\pi\) |
−0.997674 | + | 0.0681683i | \(0.978285\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 711.640 | − | 2190.20i | 0.0268477 | − | 0.0826289i | ||||
\(890\) | −2884.63 | − | 3521.53i | −0.108644 | − | 0.132631i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 49303.2 | − | 35820.9i | 1.85067 | − | 1.34459i | ||||
\(893\) | 22420.0 | 0.840152 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −19499.7 | − | 23805.1i | −0.728271 | − | 0.889067i | ||||
\(896\) | −4637.53 | − | 3369.36i | −0.172912 | − | 0.125628i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −14759.3 | + | 45424.4i | −0.548467 | + | 1.68801i | ||||
\(899\) | 7437.41 | 0.275919 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 45688.6 | 1.68936 | ||||||||
\(902\) | 41089.6 | − | 126461.i | 1.51678 | − | 4.66816i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −30487.8 | − | 22150.7i | −1.12169 | − | 0.814955i | ||||
\(905\) | −30640.0 | + | 11959.8i | −1.12542 | + | 0.439289i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −34479.3 | −1.26226 | −0.631128 | − | 0.775679i | \(-0.717408\pi\) | ||||
−0.631128 | + | 0.775679i | \(0.717408\pi\) | |||||||
\(908\) | −5287.53 | + | 3841.61i | −0.193252 | + | 0.140406i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3350.09 | + | 877.485i | 0.122038 | + | 0.0319652i | ||||
\(911\) | −1154.74 | + | 3553.92i | −0.0419959 | + | 0.129250i | −0.969856 | − | 0.243678i | \(-0.921646\pi\) |
0.927860 | + | 0.372928i | \(0.121646\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −17100.2 | − | 52628.9i | −0.619861 | − | 1.90774i | ||||
\(914\) | 3288.23 | − | 10120.1i | 0.118999 | − | 0.366241i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 25656.6 | + | 78962.9i | 0.925457 | + | 2.84826i | ||||
\(917\) | −3490.11 | + | 2535.72i | −0.125686 | + | 0.0913160i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 25149.1 | − | 18271.9i | 0.902711 | − | 0.655858i | −0.0364499 | − | 0.999335i | \(-0.511605\pi\) |
0.939161 | + | 0.343478i | \(0.111605\pi\) | |||||||
\(920\) | 1721.02 | + | 29647.1i | 0.0616743 | + | 1.06243i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 56768.6 | + | 41244.8i | 2.02774 | + | 1.47324i | ||||
\(923\) | 8893.02 | − | 27369.9i | 0.317137 | − | 0.976047i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1828.66 | − | 9105.73i | 0.0650011 | − | 0.323670i | ||||
\(926\) | −3367.73 | −0.119514 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −5486.37 | − | 3986.08i | −0.194072 | − | 0.141002i | ||||
\(929\) | 20138.4 | + | 14631.4i | 0.711215 | + | 0.516728i | 0.883565 | − | 0.468308i | \(-0.155136\pi\) |
−0.172350 | + | 0.985036i | \(0.555136\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −14764.6 | + | 10727.1i | −0.519754 | + | 0.377623i | ||||
\(932\) | 55377.0 | 1.94628 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 20168.7 | + | 62072.9i | 0.706574 | + | 2.17461i | ||||
\(935\) | −5297.33 | − | 91254.5i | −0.185285 | − | 3.19181i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −4183.67 | − | 12876.0i | −0.145864 | − | 0.448923i | 0.851257 | − | 0.524749i | \(-0.175841\pi\) |
−0.997121 | + | 0.0758255i | \(0.975841\pi\) | |||||||
\(938\) | −352.004 | − | 1083.36i | −0.0122530 | − | 0.0377109i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3825.09 | − | 65893.0i | −0.132724 | − | 2.28637i | ||||
\(941\) | 3016.32 | + | 9283.28i | 0.104494 | + | 0.321601i | 0.989611 | − | 0.143768i | \(-0.0459218\pi\) |
−0.885117 | + | 0.465368i | \(0.845922\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 36753.8 | 1.26921 | ||||||||
\(944\) | −2617.79 | + | 1901.93i | −0.0902561 | + | 0.0655749i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −36386.3 | − | 26436.2i | −1.25055 | − | 0.908579i | ||||
\(947\) | −4255.83 | − | 3092.04i | −0.146036 | − | 0.106101i | 0.512368 | − | 0.858766i | \(-0.328768\pi\) |
−0.658404 | + | 0.752665i | \(0.728768\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −23507.7 | −0.804102 | ||||||||
\(950\) | −6258.86 | + | 31165.7i | −0.213752 | + | 1.06437i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 2323.42 | − | 7150.75i | 0.0790992 | − | 0.243442i | ||||
\(953\) | 27562.3 | + | 20025.2i | 0.936864 | + | 0.680671i | 0.947664 | − | 0.319270i | \(-0.103438\pi\) |
−0.0107998 | + | 0.999942i | \(0.503438\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −595.932 | − | 10265.8i | −0.0201926 | − | 0.347847i | ||||
\(956\) | 71496.2 | − | 51945.0i | 2.41878 | − | 1.75735i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 36388.6 | − | 26437.8i | 1.22720 | − | 0.891616i | ||||
\(959\) | −921.230 | − | 2835.25i | −0.0310199 | − | 0.0954694i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3860.51 | + | 11881.4i | −0.129586 | + | 0.398826i | ||||
\(962\) | −3247.23 | − | 9993.95i | −0.108831 | − | 0.334946i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 10955.2 | − | 33716.6i | 0.366019 | − | 1.12649i | ||||
\(965\) | 51291.6 | + | 13434.8i | 1.71102 | + | 0.448166i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −16630.6 | + | 12082.8i | −0.553054 | + | 0.401817i | −0.828910 | − | 0.559382i | \(-0.811039\pi\) |
0.275856 | + | 0.961199i | \(0.411039\pi\) | |||||||
\(968\) | −103151. | −3.42500 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −42147.4 | + | 16451.5i | −1.39513 | + | 0.544562i | ||||
\(971\) | 36423.3 | + | 26463.1i | 1.20379 | + | 0.874605i | 0.994652 | − | 0.103281i | \(-0.0329341\pi\) |
0.209138 | + | 0.977886i | \(0.432934\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −416.366 | + | 1281.44i | −0.0137185 | + | 0.0422212i | ||||
\(974\) | −75814.1 | −2.49409 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −10688.5 | −0.350543 | ||||||||
\(977\) | −1559.63 | + | 4800.06i | −0.0510718 | + | 0.157183i | −0.973340 | − | 0.229369i | \(-0.926334\pi\) |
0.922268 | + | 0.386551i | \(0.126334\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4870.83 | + | 3538.86i | 0.159012 | + | 0.115529i | ||||
\(980\) | 34046.3 | + | 41563.5i | 1.10977 | + | 1.35479i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −21003.1 | −0.682522 | ||||||||
\(983\) | 33041.8 | − | 24006.3i | 1.07209 | − | 0.778922i | 0.0958069 | − | 0.995400i | \(-0.469457\pi\) |
0.976288 | + | 0.216478i | \(0.0694569\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 35100.9 | + | 42850.8i | 1.13544 | + | 1.38613i | ||||
\(986\) | 9661.67 | − | 29735.6i | 0.312059 | − | 0.960419i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 7110.67 | + | 21884.4i | 0.228968 | + | 0.704692i | ||||
\(989\) | 3841.63 | − | 11823.3i | 0.123515 | − | 0.380142i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 2262.08 | + | 6961.96i | 0.0725098 | + | 0.223162i | 0.980743 | − | 0.195302i | \(-0.0625686\pi\) |
−0.908233 | + | 0.418464i | \(0.862569\pi\) | |||||||
\(992\) | −12760.4 | + | 9270.95i | −0.408409 | + | 0.296727i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −8007.26 | + | 5817.62i | −0.255508 | + | 0.185637i | ||||
\(995\) | −35716.8 | − | 9355.27i | −1.13799 | − | 0.298072i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 35555.8 | + | 25832.8i | 1.12945 | + | 0.820595i | 0.985615 | − | 0.169007i | \(-0.0540559\pi\) |
0.143837 | + | 0.989601i | \(0.454056\pi\) | |||||||
\(998\) | 23176.8 | − | 71330.7i | 0.735118 | − | 2.26246i | ||||
\(999\) | 0 | 0 |
(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 | 225.4.h.d.46.2 | ✓ | 64 | |
3.2 | odd | 2 | inner | 225.4.h.d.46.15 | yes | 64 | |
25.6 | even | 5 | inner | 225.4.h.d.181.2 | yes | 64 | |
75.56 | odd | 10 | inner | 225.4.h.d.181.15 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.4.h.d.46.2 | ✓ | 64 | 1.1 | even | 1 | trivial | |
225.4.h.d.46.15 | yes | 64 | 3.2 | odd | 2 | inner | |
225.4.h.d.181.2 | yes | 64 | 25.6 | even | 5 | inner | |
225.4.h.d.181.15 | yes | 64 | 75.56 | odd | 10 | inner |