Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1764,4,Mod(361,1764)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1764, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1764.361");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1764 = 2^{2} \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1764.k (of order \(3\), degree \(2\), not 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: | \(104.079369250\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{25}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 28) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 361.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1764.361 |
Dual form | 1764.4.k.k.1549.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1764\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(883\) | \(1081\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.00000 | + | 5.19615i | 0.268328 | + | 0.464758i | 0.968430 | − | 0.249285i | \(-0.0801955\pi\) |
−0.700102 | + | 0.714043i | \(0.746862\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −6.00000 | + | 10.3923i | −0.164461 | + | 0.284854i | −0.936464 | − | 0.350765i | \(-0.885922\pi\) |
0.772003 | + | 0.635619i | \(0.219255\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −82.0000 | −1.74944 | −0.874720 | − | 0.484629i | \(-0.838954\pi\) | ||||
−0.874720 | + | 0.484629i | \(0.838954\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −15.0000 | + | 25.9808i | −0.214002 | + | 0.370662i | −0.952963 | − | 0.303085i | \(-0.901983\pi\) |
0.738961 | + | 0.673748i | \(0.235317\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −34.0000 | − | 58.8897i | −0.410533 | − | 0.711065i | 0.584415 | − | 0.811455i | \(-0.301324\pi\) |
−0.994948 | + | 0.100390i | \(0.967991\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 108.000 | + | 187.061i | 0.979111 | + | 1.69587i | 0.665641 | + | 0.746272i | \(0.268158\pi\) |
0.313470 | + | 0.949598i | \(0.398508\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 44.5000 | − | 77.0763i | 0.356000 | − | 0.616610i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −246.000 | −1.57521 | −0.787604 | − | 0.616181i | \(-0.788679\pi\) | ||||
−0.787604 | + | 0.616181i | \(0.788679\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 56.0000 | − | 96.9948i | 0.324448 | − | 0.561961i | −0.656952 | − | 0.753932i | \(-0.728155\pi\) |
0.981401 | + | 0.191971i | \(0.0614880\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −55.0000 | − | 95.2628i | −0.244377 | − | 0.423273i | 0.717579 | − | 0.696477i | \(-0.245250\pi\) |
−0.961956 | + | 0.273204i | \(0.911917\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 246.000 | 0.937043 | 0.468521 | − | 0.883452i | \(-0.344787\pi\) | ||||
0.468521 | + | 0.883452i | \(0.344787\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −172.000 | −0.609994 | −0.304997 | − | 0.952353i | \(-0.598656\pi\) | ||||
−0.304997 | + | 0.952353i | \(0.598656\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 96.0000 | + | 166.277i | 0.297937 | + | 0.516042i | 0.975664 | − | 0.219272i | \(-0.0703681\pi\) |
−0.677727 | + | 0.735314i | \(0.737035\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 279.000 | − | 483.242i | 0.723087 | − | 1.25242i | −0.236670 | − | 0.971590i | \(-0.576056\pi\) |
0.959757 | − | 0.280833i | \(-0.0906107\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −72.0000 | −0.176518 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 270.000 | − | 467.654i | 0.595780 | − | 1.03192i | −0.397657 | − | 0.917534i | \(-0.630176\pi\) |
0.993436 | − | 0.114386i | \(-0.0364902\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −55.0000 | − | 95.2628i | −0.115443 | − | 0.199953i | 0.802514 | − | 0.596634i | \(-0.203495\pi\) |
−0.917957 | + | 0.396680i | \(0.870162\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −246.000 | − | 426.084i | −0.469424 | − | 0.813066i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −70.0000 | + | 121.244i | −0.127640 | + | 0.221078i | −0.922762 | − | 0.385371i | \(-0.874073\pi\) |
0.795122 | + | 0.606450i | \(0.207407\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 840.000 | 1.40408 | 0.702040 | − | 0.712138i | \(-0.252273\pi\) | ||||
0.702040 | + | 0.712138i | \(0.252273\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 275.000 | − | 476.314i | 0.440908 | − | 0.763676i | −0.556849 | − | 0.830614i | \(-0.687990\pi\) |
0.997757 | + | 0.0669381i | \(0.0213230\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 104.000 | + | 180.133i | 0.148113 | + | 0.256539i | 0.930530 | − | 0.366216i | \(-0.119347\pi\) |
−0.782417 | + | 0.622755i | \(0.786013\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −516.000 | −0.682390 | −0.341195 | − | 0.939993i | \(-0.610832\pi\) | ||||
−0.341195 | + | 0.939993i | \(0.610832\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −180.000 | −0.229691 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −699.000 | − | 1210.70i | −0.832515 | − | 1.44196i | −0.896038 | − | 0.443978i | \(-0.853567\pi\) |
0.0635224 | − | 0.997980i | \(-0.479767\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 204.000 | − | 353.338i | 0.220315 | − | 0.381597i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1586.00 | 1.66014 | 0.830072 | − | 0.557657i | \(-0.188299\pi\) | ||||
0.830072 | + | 0.557657i | \(0.188299\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −621.000 | + | 1075.60i | −0.611800 | + | 1.05967i | 0.379137 | + | 0.925341i | \(0.376221\pi\) |
−0.990937 | + | 0.134328i | \(0.957112\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −340.000 | − | 588.897i | −0.325254 | − | 0.563357i | 0.656309 | − | 0.754492i | \(-0.272117\pi\) |
−0.981564 | + | 0.191135i | \(0.938783\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 498.000 | + | 862.561i | 0.449939 | + | 0.779317i | 0.998382 | − | 0.0568710i | \(-0.0181124\pi\) |
−0.548442 | + | 0.836188i | \(0.684779\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −691.000 | + | 1196.85i | −0.607209 | + | 1.05172i | 0.384489 | + | 0.923130i | \(0.374378\pi\) |
−0.991698 | + | 0.128588i | \(0.958956\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 750.000 | 0.624372 | 0.312186 | − | 0.950021i | \(-0.398939\pi\) | ||||
0.312186 | + | 0.950021i | \(0.398939\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −648.000 | + | 1122.37i | −0.525446 | + | 0.910099i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 593.500 | + | 1027.97i | 0.445905 | + | 0.772331i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1284.00 | 0.918756 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 176.000 | 0.122972 | 0.0614861 | − | 0.998108i | \(-0.480416\pi\) | ||||
0.0614861 | + | 0.998108i | \(0.480416\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −774.000 | − | 1340.61i | −0.516219 | − | 0.894118i | −0.999823 | − | 0.0188305i | \(-0.994006\pi\) |
0.483604 | − | 0.875287i | \(-0.339328\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 189.000 | − | 327.358i | 0.117864 | − | 0.204146i | −0.801057 | − | 0.598588i | \(-0.795729\pi\) |
0.918921 | + | 0.394442i | \(0.129062\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2500.00 | −1.52552 | −0.762760 | − | 0.646682i | \(-0.776156\pi\) | ||||
−0.762760 | + | 0.646682i | \(0.776156\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 492.000 | − | 852.169i | 0.287714 | − | 0.498335i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −738.000 | − | 1278.25i | −0.422673 | − | 0.732091i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 423.000 | + | 732.657i | 0.232574 | + | 0.402830i | 0.958565 | − | 0.284874i | \(-0.0919519\pi\) |
−0.725991 | + | 0.687704i | \(0.758619\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1268.00 | − | 2196.24i | 0.683367 | − | 1.18363i | −0.290580 | − | 0.956851i | \(-0.593848\pi\) |
0.973947 | − | 0.226775i | \(-0.0728183\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 672.000 | 0.348234 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 593.000 | − | 1027.11i | 0.301443 | − | 0.522115i | −0.675020 | − | 0.737799i | \(-0.735865\pi\) |
0.976463 | + | 0.215685i | \(0.0691984\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1054.00 | − | 1825.58i | −0.506476 | − | 0.877243i | −0.999972 | − | 0.00749450i | \(-0.997614\pi\) |
0.493496 | − | 0.869748i | \(-0.335719\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1944.00 | 0.900786 | 0.450393 | − | 0.892830i | \(-0.351284\pi\) | ||||
0.450393 | + | 0.892830i | \(0.351284\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4527.00 | 2.06054 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −681.000 | − | 1179.53i | −0.299280 | − | 0.518368i | 0.676691 | − | 0.736267i | \(-0.263413\pi\) |
−0.975971 | + | 0.217898i | \(0.930080\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 798.000 | − | 1382.18i | 0.333214 | − | 0.577144i | −0.649926 | − | 0.759997i | \(-0.725200\pi\) |
0.983140 | + | 0.182854i | \(0.0585335\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1690.00 | −0.694015 | −0.347007 | − | 0.937862i | \(-0.612802\pi\) | ||||
−0.347007 | + | 0.937862i | \(0.612802\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 330.000 | − | 571.577i | 0.131146 | − | 0.227152i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −180.000 | − | 311.769i | −0.0703899 | − | 0.121919i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1776.00 | + | 3076.12i | 0.672811 | + | 1.16534i | 0.977104 | + | 0.212764i | \(0.0682465\pi\) |
−0.304293 | + | 0.952579i | \(0.598420\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1343.00 | − | 2326.14i | 0.500887 | − | 0.867562i | −0.499112 | − | 0.866537i | \(-0.666340\pi\) |
0.999999 | − | 0.00102491i | \(-0.000326238\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1410.00 | 0.509941 | 0.254970 | − | 0.966949i | \(-0.417934\pi\) | ||||
0.254970 | + | 0.966949i | \(0.417934\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1484.00 | − | 2570.36i | 0.528633 | − | 0.915619i | −0.470810 | − | 0.882235i | \(-0.656038\pi\) |
0.999443 | − | 0.0333844i | \(-0.0106286\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 738.000 | + | 1278.25i | 0.251435 | + | 0.435498i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 816.000 | 0.270067 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1348.00 | −0.439811 | −0.219906 | − | 0.975521i | \(-0.570575\pi\) | ||||
−0.219906 | + | 0.975521i | \(0.570575\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −516.000 | − | 893.738i | −0.163679 | − | 0.283500i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1230.00 | − | 2130.42i | 0.374384 | − | 0.648451i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3872.00 | 1.16273 | 0.581364 | − | 0.813644i | \(-0.302519\pi\) | ||||
0.581364 | + | 0.813644i | \(0.302519\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 2682.00 | − | 4645.36i | 0.784188 | − | 1.35825i | −0.145296 | − | 0.989388i | \(-0.546413\pi\) |
0.929483 | − | 0.368865i | \(-0.120253\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 437.000 | + | 756.906i | 0.126104 | + | 0.218418i | 0.922164 | − | 0.386799i | \(-0.126419\pi\) |
−0.796060 | + | 0.605218i | \(0.793086\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 189.000 | + | 327.358i | 0.0531408 | + | 0.0920425i | 0.891372 | − | 0.453272i | \(-0.149743\pi\) |
−0.838231 | + | 0.545315i | \(0.816410\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −576.000 | + | 997.661i | −0.159890 | + | 0.276937i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1920.00 | −0.519642 | −0.259821 | − | 0.965657i | \(-0.583664\pi\) | ||||
−0.259821 | + | 0.965657i | \(0.583664\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2161.00 | + | 3742.96i | −0.577603 | + | 1.00044i | 0.418151 | + | 0.908378i | \(0.362678\pi\) |
−0.995754 | + | 0.0920596i | \(0.970655\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2788.00 | + | 4828.96i | 0.718203 | + | 1.24396i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −5292.00 | −1.33079 | −0.665395 | − | 0.746492i | \(-0.731737\pi\) | ||||
−0.665395 | + | 0.746492i | \(0.731737\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2592.00 | −0.644101 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −2559.00 | − | 4432.32i | −0.621113 | − | 1.07580i | −0.989279 | − | 0.146039i | \(-0.953347\pi\) |
0.368166 | − | 0.929760i | \(-0.379986\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 1884.00 | − | 3263.18i | 0.441720 | − | 0.765082i | −0.556097 | − | 0.831117i | \(-0.687702\pi\) |
0.997817 | + | 0.0660355i | \(0.0210351\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3348.00 | 0.776098 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1959.00 | − | 3393.09i | 0.444024 | − | 0.769071i | −0.553960 | − | 0.832543i | \(-0.686884\pi\) |
0.997984 | + | 0.0634719i | \(0.0202173\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2440.00 | − | 4226.20i | −0.546935 | − | 0.947320i | −0.998482 | − | 0.0550723i | \(-0.982461\pi\) |
0.451547 | − | 0.892247i | \(-0.350872\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 534.000 | + | 924.915i | 0.117096 | + | 0.202816i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1769.00 | − | 3064.00i | 0.383714 | − | 0.664613i | −0.607875 | − | 0.794032i | \(-0.707978\pi\) |
0.991590 | + | 0.129419i | \(0.0413114\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5430.00 | 1.15276 | 0.576382 | − | 0.817180i | \(-0.304464\pi\) | ||||
0.576382 | + | 0.817180i | \(0.304464\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3218.00 | − | 5573.74i | 0.675937 | − | 1.17076i | −0.300257 | − | 0.953858i | \(-0.597072\pi\) |
0.976194 | − | 0.216899i | \(-0.0695943\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2006.50 | + | 3475.36i | 0.408406 | + | 0.707380i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1350.00 | −0.269174 | −0.134587 | − | 0.990902i | \(-0.542971\pi\) | ||||
−0.134587 | + | 0.990902i | \(0.542971\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3240.00 | 0.639458 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −8856.00 | − | 15339.0i | −1.71290 | − | 2.96682i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 330.000 | − | 571.577i | 0.0619533 | − | 0.107306i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3332.00 | 0.619437 | 0.309719 | − | 0.950828i | \(-0.399765\pi\) | ||||
0.309719 | + | 0.950828i | \(0.399765\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2364.00 | + | 4094.57i | −0.431029 | + | 0.746565i | −0.996962 | − | 0.0778865i | \(-0.975183\pi\) |
0.565933 | + | 0.824451i | \(0.308516\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2557.00 | − | 4428.85i | −0.461758 | − | 0.799788i | 0.537291 | − | 0.843397i | \(-0.319448\pi\) |
−0.999049 | + | 0.0436091i | \(0.986114\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3603.00 | + | 6240.58i | 0.638374 | + | 1.10570i | 0.985790 | + | 0.167985i | \(0.0537261\pi\) |
−0.347415 | + | 0.937711i | \(0.612941\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1476.00 | − | 2556.51i | 0.259060 | − | 0.448705i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2040.00 | 0.351420 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3649.00 | + | 6320.25i | −0.622800 | + | 1.07872i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3130.00 | − | 5421.32i | −0.519759 | − | 0.900250i | −0.999736 | − | 0.0229685i | \(-0.992688\pi\) |
0.479977 | − | 0.877281i | \(-0.340645\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −840.000 | −0.136997 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5326.00 | −0.860907 | −0.430454 | − | 0.902613i | \(-0.641646\pi\) | ||||
−0.430454 | + | 0.902613i | \(0.641646\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 672.000 | + | 1163.94i | 0.106718 | + | 0.184841i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 18.0000 | − | 31.1769i | 0.00278470 | − | 0.00482324i | −0.864630 | − | 0.502410i | \(-0.832447\pi\) |
0.867414 | + | 0.497586i | \(0.165780\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3134.00 | 0.480685 | 0.240343 | − | 0.970688i | \(-0.422740\pi\) | ||||
0.240343 | + | 0.970688i | \(0.422740\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 609.000 | − | 1054.82i | 0.0918238 | − | 0.159043i | −0.816455 | − | 0.577409i | \(-0.804064\pi\) |
0.908279 | + | 0.418366i | \(0.137397\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2520.00 | + | 4364.77i | 0.376754 | + | 0.652557i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −5004.00 | − | 8667.18i | −0.735657 | − | 1.27420i | −0.954434 | − | 0.298421i | \(-0.903540\pi\) |
0.218777 | − | 0.975775i | \(-0.429793\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1117.50 | − | 1935.57i | 0.162925 | − | 0.282194i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3300.00 | 0.473233 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 536.000 | − | 928.379i | 0.0762370 | − | 0.132046i | −0.825387 | − | 0.564568i | \(-0.809043\pi\) |
0.901624 | + | 0.432522i | \(0.142376\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 137.000 | + | 237.291i | 0.0190177 | + | 0.0329396i | 0.875378 | − | 0.483440i | \(-0.160613\pi\) |
−0.856360 | + | 0.516379i | \(0.827279\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 20172.0 | 2.75573 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7652.00 | 1.03709 | 0.518545 | − | 0.855051i | \(-0.326474\pi\) | ||||
0.518545 | + | 0.855051i | \(0.326474\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1080.00 | + | 1870.61i | 0.144087 | + | 0.249566i | 0.929032 | − | 0.369999i | \(-0.120642\pi\) |
−0.784945 | + | 0.619566i | \(0.787309\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −537.000 | + | 930.111i | −0.0699922 | + | 0.121230i | −0.898898 | − | 0.438159i | \(-0.855631\pi\) |
0.828905 | + | 0.559389i | \(0.188964\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6480.00 | −0.838127 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −624.000 | + | 1080.80i | −0.0794857 | + | 0.137673i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3463.00 | − | 5998.09i | −0.437791 | − | 0.758276i | 0.559728 | − | 0.828676i | \(-0.310906\pi\) |
−0.997519 | + | 0.0704004i | \(0.977572\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 969.000 | + | 1678.36i | 0.120672 | + | 0.209010i | 0.920033 | − | 0.391841i | \(-0.128162\pi\) |
−0.799361 | + | 0.600851i | \(0.794828\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4592.00 | + | 7953.58i | −0.567603 | + | 0.983116i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1320.00 | 0.160762 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4787.00 | − | 8291.33i | 0.578733 | − | 1.00240i | −0.416892 | − | 0.908956i | \(-0.636881\pi\) |
0.995625 | − | 0.0934393i | \(-0.0297861\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1548.00 | − | 2681.21i | −0.183104 | − | 0.317146i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 5052.00 | 0.589037 | 0.294518 | − | 0.955646i | \(-0.404841\pi\) | ||||
0.294518 | + | 0.955646i | \(0.404841\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3422.00 | 0.396147 | 0.198074 | − | 0.980187i | \(-0.436531\pi\) | ||||
0.198074 | + | 0.980187i | \(0.436531\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1335.00 | + | 2312.29i | 0.152369 | + | 0.263912i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1104.00 | − | 1912.18i | 0.123382 | − | 0.213705i | −0.797717 | − | 0.603032i | \(-0.793959\pi\) |
0.921099 | + | 0.389327i | \(0.127292\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6814.00 | −0.756259 | −0.378129 | − | 0.925753i | \(-0.623433\pi\) | ||||
−0.378129 | + | 0.925753i | \(0.623433\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 7344.00 | − | 12720.2i | 0.803916 | − | 1.39242i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −6292.00 | − | 10898.1i | −0.684056 | − | 1.18482i | −0.973732 | − | 0.227696i | \(-0.926881\pi\) |
0.289676 | − | 0.957125i | \(-0.406452\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 3498.00 | + | 6058.71i | 0.375158 | + | 0.649793i | 0.990351 | − | 0.138584i | \(-0.0442551\pi\) |
−0.615193 | + | 0.788377i | \(0.710922\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4194.00 | − | 7264.22i | 0.446775 | − | 0.773836i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9474.00 | −0.995781 | −0.497891 | − | 0.867240i | \(-0.665892\pi\) | ||||
−0.497891 | + | 0.867240i | \(0.665892\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1476.00 | + | 2556.51i | −0.154107 | + | 0.266921i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2893.00 | − | 5010.82i | −0.296124 | − | 0.512902i | 0.679121 | − | 0.734026i | \(-0.262361\pi\) |
−0.975246 | + | 0.221123i | \(0.929028\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3438.00 | −0.347340 | −0.173670 | − | 0.984804i | \(-0.555563\pi\) | ||||
−0.173670 | + | 0.984804i | \(0.555563\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9392.00 | 0.942728 | 0.471364 | − | 0.881939i | \(-0.343762\pi\) | ||||
0.471364 | + | 0.881939i | \(0.343762\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −2478.00 | − | 4292.02i | −0.245542 | − | 0.425291i | 0.716742 | − | 0.697339i | \(-0.245633\pi\) |
−0.962284 | + | 0.272047i | \(0.912299\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 1032.00 | − | 1787.48i | 0.100320 | − | 0.173760i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6052.00 | −0.584600 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −10296.0 | + | 17833.2i | −0.982122 | + | 1.70108i | −0.328034 | + | 0.944666i | \(0.606386\pi\) |
−0.654088 | + | 0.756418i | \(0.726947\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4510.00 | + | 7811.55i | 0.427522 | + | 0.740491i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 4758.00 | + | 8241.10i | 0.445463 | + | 0.771565i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6716.00 | − | 11632.5i | 0.624910 | − | 1.08238i | −0.363649 | − | 0.931536i | \(-0.618469\pi\) |
0.988558 | − | 0.150839i | \(-0.0481975\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 14172.0 | 1.30259 | 0.651297 | − | 0.758823i | \(-0.274225\pi\) | ||||
0.651297 | + | 0.758823i | \(0.274225\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3690.00 | − | 6391.27i | 0.337098 | − | 0.583871i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2978.00 | + | 5158.05i | 0.267162 | + | 0.462737i | 0.968128 | − | 0.250457i | \(-0.0805809\pi\) |
−0.700966 | + | 0.713195i | \(0.747248\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −16968.0 | −1.50411 | −0.752053 | − | 0.659102i | \(-0.770936\pi\) | ||||
−0.752053 | + | 0.659102i | \(0.770936\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7452.00 | −0.656653 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 2607.00 | + | 4515.46i | 0.227020 | + | 0.393210i | 0.956924 | − | 0.290340i | \(-0.0937683\pi\) |
−0.729903 | + | 0.683550i | \(0.760435\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 2040.00 | − | 3533.38i | 0.174550 | − | 0.302329i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2304.00 | −0.195996 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −699.000 | + | 1210.70i | −0.0587788 | + | 0.101808i | −0.893917 | − | 0.448232i | \(-0.852054\pi\) |
0.835139 | + | 0.550039i | \(0.185387\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9290.00 | + | 16090.8i | 0.776718 | + | 1.34531i | 0.933824 | + | 0.357733i | \(0.116450\pi\) |
−0.157106 | + | 0.987582i | \(0.550217\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1680.00 | + | 2909.85i | 0.138865 | + | 0.240522i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17244.5 | + | 29868.4i | −1.41732 | + | 2.45487i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −20172.0 | −1.63930 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2988.00 | + | 5175.37i | −0.241463 | + | 0.418226i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9485.00 | + | 16428.5i | 0.753774 | + | 1.30558i | 0.945981 | + | 0.324221i | \(0.105102\pi\) |
−0.192207 | + | 0.981354i | \(0.561564\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −8292.00 | −0.651725 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −16036.0 | −1.25347 | −0.626737 | − | 0.779231i | \(-0.715610\pi\) | ||||
−0.626737 | + | 0.779231i | \(0.715610\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 8364.00 | + | 14486.9i | 0.646676 | + | 1.12008i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 4155.00 | − | 7196.67i | 0.316074 | − | 0.547456i | −0.663592 | − | 0.748095i | \(-0.730969\pi\) |
0.979665 | + | 0.200640i | \(0.0643020\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 14104.0 | 1.06715 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 3546.00 | − | 6141.85i | 0.265446 | − | 0.459766i | −0.702234 | − | 0.711946i | \(-0.747814\pi\) |
0.967680 | + | 0.252180i | \(0.0811475\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2250.00 | + | 3897.11i | 0.167537 | + | 0.290182i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −3579.00 | − | 6199.01i | −0.263690 | − | 0.456724i | 0.703530 | − | 0.710666i | \(-0.251606\pi\) |
−0.967220 | + | 0.253942i | \(0.918273\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3250.00 | + | 5629.17i | −0.238193 | + | 0.412563i | −0.960196 | − | 0.279328i | \(-0.909888\pi\) |
0.722003 | + | 0.691890i | \(0.243222\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 19224.0 | 1.39425 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10897.0 | + | 18874.2i | −0.786218 | + | 1.36177i | 0.142050 | + | 0.989859i | \(0.454631\pi\) |
−0.928268 | + | 0.371911i | \(0.878703\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3348.00 | + | 5798.91i | 0.237839 | + | 0.411949i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −9756.00 | −0.685985 | −0.342993 | − | 0.939338i | \(-0.611441\pi\) | ||||
−0.342993 | + | 0.939338i | \(0.611441\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7616.00 | −0.532787 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 2793.00 | + | 4837.62i | 0.193414 | + | 0.335004i | 0.946380 | − | 0.323057i | \(-0.104710\pi\) |
−0.752965 | + | 0.658060i | \(0.771377\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −12.0000 | + | 20.7846i | −0.000818542 | + | 0.00141776i | −0.866434 | − | 0.499291i | \(-0.833594\pi\) |
0.865616 | + | 0.500709i | \(0.166927\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4298.00 | 0.291712 | 0.145856 | − | 0.989306i | \(-0.453406\pi\) | ||||
0.145856 | + | 0.989306i | \(0.453406\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −3561.00 | + | 6167.83i | −0.239298 | + | 0.414476i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4240.00 | − | 7343.90i | −0.283519 | − | 0.491070i | 0.688730 | − | 0.725018i | \(-0.258169\pi\) |
−0.972249 | + | 0.233948i | \(0.924835\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −7872.00 | − | 13634.7i | −0.521223 | − | 0.902784i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 953.000 | − | 1650.64i | 0.0627917 | − | 0.108758i | −0.832921 | − | 0.553393i | \(-0.813333\pi\) |
0.895712 | + | 0.444634i | \(0.146666\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −7482.00 | −0.488191 | −0.244096 | − | 0.969751i | \(-0.578491\pi\) | ||||
−0.244096 | + | 0.969751i | \(0.578491\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3674.00 | − | 6363.55i | 0.238563 | − | 0.413203i | −0.721739 | − | 0.692165i | \(-0.756657\pi\) |
0.960302 | + | 0.278962i | \(0.0899903\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1710.50 | − | 2962.67i | −0.109472 | − | 0.189611i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 3300.00 | 0.209189 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4520.00 | 0.285164 | 0.142582 | − | 0.989783i | \(-0.454460\pi\) | ||||
0.142582 | + | 0.989783i | \(0.454460\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 528.000 | + | 914.523i | 0.0329969 | + | 0.0571523i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −9903.00 | + | 17152.5i | −0.610211 | + | 1.05692i | 0.380994 | + | 0.924577i | \(0.375582\pi\) |
−0.991205 | + | 0.132338i | \(0.957751\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −5020.00 | −0.307884 | −0.153942 | − | 0.988080i | \(-0.549197\pi\) | ||||
−0.153942 | + | 0.988080i | \(0.549197\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 14196.0 | − | 24588.2i | 0.862600 | − | 1.49407i | −0.00681018 | − | 0.999977i | \(-0.502168\pi\) |
0.869410 | − | 0.494091i | \(-0.164499\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3240.00 | + | 5611.84i | 0.195965 | + | 0.339421i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −8781.00 | − | 15209.1i | −0.526228 | − | 0.911454i | −0.999533 | − | 0.0305554i | \(-0.990272\pi\) |
0.473305 | − | 0.880899i | \(-0.343061\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4644.00 | − | 8043.64i | 0.277032 | − | 0.479834i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −4716.00 | −0.278770 | −0.139385 | − | 0.990238i | \(-0.544513\pi\) | ||||
−0.139385 | + | 0.990238i | \(0.544513\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 11381.0 | − | 19712.5i | 0.669697 | − | 1.15995i | −0.308292 | − | 0.951292i | \(-0.599757\pi\) |
0.977989 | − | 0.208657i | \(-0.0669093\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −26568.0 | − | 46017.1i | −1.54230 | − | 2.67135i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1320.00 | 0.0759434 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4802.00 | 0.275042 | 0.137521 | − | 0.990499i | \(-0.456086\pi\) | ||||
0.137521 | + | 0.990499i | \(0.456086\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 10779.0 | + | 18669.8i | 0.611921 | + | 1.05988i | 0.990916 | + | 0.134480i | \(0.0429364\pi\) |
−0.378995 | + | 0.925399i | \(0.623730\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 1890.00 | − | 3273.58i | 0.105884 | − | 0.183397i | −0.808215 | − | 0.588888i | \(-0.799566\pi\) |
0.914099 | + | 0.405491i | \(0.132899\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2268.00 | 0.126505 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −22878.0 | + | 39625.9i | −1.26500 | + | 2.19104i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2750.00 | + | 4763.14i | 0.151396 | + | 0.262226i | 0.931741 | − | 0.363123i | \(-0.118290\pi\) |
−0.780345 | + | 0.625350i | \(0.784956\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −7500.00 | − | 12990.4i | −0.409340 | − | 0.708997i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3690.00 | + | 6391.27i | −0.200529 | + | 0.347326i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −10230.0 | −0.551187 | −0.275593 | − | 0.961274i | \(-0.588874\pi\) | ||||
−0.275593 | + | 0.961274i | \(0.588874\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3740.00 | + | 6477.87i | −0.200650 | + | 0.347536i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5095.00 | − | 8824.80i | −0.269883 | − | 0.467450i | 0.698949 | − | 0.715172i | \(-0.253652\pi\) |
−0.968831 | + | 0.247721i | \(0.920318\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 24192.0 | 1.27068 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5904.00 | 0.308807 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 4704.00 | + | 8147.57i | 0.243991 | + | 0.422605i | 0.961847 | − | 0.273586i | \(-0.0882099\pi\) |
−0.717856 | + | 0.696191i | \(0.754877\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −10947.0 | + | 18960.8i | −0.560774 | + | 0.971290i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −33064.0 | −1.68676 | −0.843381 | − | 0.537316i | \(-0.819438\pi\) | ||||
−0.843381 | + | 0.537316i | \(0.819438\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2580.00 | − | 4468.69i | 0.130540 | − | 0.226102i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3161.00 | + | 5475.01i | 0.159283 | + | 0.275886i | 0.934610 | − | 0.355674i | \(-0.115749\pi\) |
−0.775328 | + | 0.631559i | \(0.782415\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −840.000 | − | 1454.92i | −0.0419834 | − | 0.0727175i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 10370.0 | − | 17961.4i | 0.516193 | − | 0.894072i | −0.483630 | − | 0.875272i | \(-0.660682\pi\) |
0.999823 | − | 0.0188001i | \(-0.00598461\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −32040.0 | −1.58201 | −0.791005 | − | 0.611810i | \(-0.790442\pi\) | ||||
−0.791005 | + | 0.611810i | \(0.790442\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2538.00 | + | 4395.94i | −0.124812 | + | 0.216181i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6416.00 | + | 11112.8i | 0.311749 | + | 0.539964i | 0.978741 | − | 0.205100i | \(-0.0657520\pi\) |
−0.666992 | + | 0.745064i | \(0.732419\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 15216.0 | 0.733466 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −19906.0 | −0.955741 | −0.477870 | − | 0.878430i | \(-0.658591\pi\) | ||||
−0.477870 | + | 0.878430i | \(0.658591\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 5421.00 | + | 9389.45i | 0.258227 | + | 0.447263i | 0.965767 | − | 0.259411i | \(-0.0835283\pi\) |
−0.707540 | + | 0.706674i | \(0.750195\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −22140.0 | + | 38347.6i | −1.04228 | + | 1.80528i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 28274.0 | 1.32586 | 0.662930 | − | 0.748681i | \(-0.269313\pi\) | ||||
0.662930 | + | 0.748681i | \(0.269313\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −16173.0 | + | 28012.5i | −0.752526 | + | 1.30341i | 0.194069 | + | 0.980988i | \(0.437831\pi\) |
−0.946595 | + | 0.322425i | \(0.895502\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4984.00 | − | 8632.54i | −0.231007 | − | 0.400116i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −8364.00 | − | 14486.9i | −0.384687 | − | 0.666298i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5040.00 | + | 8729.54i | −0.230916 | + | 0.399958i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 7116.00 | 0.323543 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −15058.0 | + | 26081.2i | −0.682033 | + | 1.18132i | 0.292327 | + | 0.956318i | \(0.405570\pi\) |
−0.974360 | + | 0.224997i | \(0.927763\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4510.00 | + | 7811.55i | 0.201961 | + | 0.349806i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) |