Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [117,4,Mod(10,117)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(117, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("117.10");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 117 = 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 117.q (of order \(6\), degree \(2\), 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: | \(6.90322347067\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} + 70x^{8} + 1645x^{6} + 14700x^{4} + 44100x^{2} + 27648 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 10.4 | ||
Root | \(-2.04224i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 117.10 |
Dual form | 117.4.q.e.82.4 |
$q$-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 \(\left(\mathbb{Z}/117\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(92\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.76863 | − | 1.02112i | 0.625307 | − | 0.361021i | −0.153626 | − | 0.988129i | \(-0.549095\pi\) |
0.778932 | + | 0.627108i | \(0.215762\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.91462 | + | 3.31622i | −0.239328 | + | 0.414528i | ||||
\(5\) | 12.0825i | 1.08069i | 0.841444 | + | 0.540344i | \(0.181706\pi\) | ||||
−0.841444 | + | 0.540344i | \(0.818294\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −25.7533 | − | 14.8686i | −1.39055 | − | 0.802832i | −0.397170 | − | 0.917745i | \(-0.630008\pi\) |
−0.993375 | + | 0.114914i | \(0.963341\pi\) | |||||||
\(8\) | 24.1582i | 1.06765i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 12.3377 | + | 21.3694i | 0.390151 | + | 0.675761i | ||||
\(11\) | −24.3038 | + | 14.0318i | −0.666169 | + | 0.384613i | −0.794624 | − | 0.607102i | \(-0.792332\pi\) |
0.128454 | + | 0.991715i | \(0.458998\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −40.9717 | + | 22.7667i | −0.874115 | + | 0.485719i | ||||
\(14\) | −60.7308 | −1.15936 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 9.35146 | + | 16.1972i | 0.146117 | + | 0.253081i | ||||
\(17\) | 25.3278 | − | 43.8690i | 0.361347 | − | 0.625871i | −0.626836 | − | 0.779151i | \(-0.715650\pi\) |
0.988183 | + | 0.153280i | \(0.0489838\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 91.0612 | + | 52.5742i | 1.09952 | + | 0.634808i | 0.936095 | − | 0.351748i | \(-0.114413\pi\) |
0.163425 | + | 0.986556i | \(0.447746\pi\) | |||||||
\(20\) | −40.0681 | − | 23.1333i | −0.447975 | − | 0.258639i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −28.6563 | + | 49.6342i | −0.277707 | + | 0.481002i | ||||
\(23\) | 80.2961 | + | 139.077i | 0.727951 | + | 1.26085i | 0.957748 | + | 0.287610i | \(0.0928607\pi\) |
−0.229796 | + | 0.973239i | \(0.573806\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −20.9857 | −0.167886 | ||||||||
\(26\) | −49.2164 | + | 82.1030i | −0.371235 | + | 0.619297i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 98.6155 | − | 56.9357i | 0.665592 | − | 0.384280i | ||||
\(29\) | 70.0525 | + | 121.334i | 0.448566 | + | 0.776939i | 0.998293 | − | 0.0584051i | \(-0.0186015\pi\) |
−0.549727 | + | 0.835344i | \(0.685268\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 223.593i | − | 1.29544i | −0.761880 | − | 0.647718i | \(-0.775724\pi\) | ||
0.761880 | − | 0.647718i | \(-0.224276\pi\) | |||||||
\(32\) | −134.294 | − | 77.5348i | −0.741878 | − | 0.428323i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 103.451i | − | 0.521815i | ||||||
\(35\) | 179.650 | − | 311.163i | 0.867610 | − | 1.50274i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −197.759 | + | 114.176i | −0.878684 | + | 0.507308i | −0.870224 | − | 0.492656i | \(-0.836026\pi\) |
−0.00845956 | + | 0.999964i | \(0.502693\pi\) | |||||||
\(38\) | 214.739 | 0.916716 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −291.890 | −1.15380 | ||||||||
\(41\) | −256.259 | + | 147.951i | −0.976119 | + | 0.563563i | −0.901096 | − | 0.433619i | \(-0.857236\pi\) |
−0.0750227 | + | 0.997182i | \(0.523903\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 96.0517 | − | 166.366i | 0.340645 | − | 0.590015i | −0.643907 | − | 0.765103i | \(-0.722688\pi\) |
0.984553 | + | 0.175088i | \(0.0560211\pi\) | |||||||
\(44\) | − | 107.462i | − | 0.368194i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 284.029 | + | 163.984i | 0.910386 | + | 0.525611i | ||||
\(47\) | − | 36.9300i | − | 0.114613i | −0.998357 | − | 0.0573063i | \(-0.981749\pi\) | ||
0.998357 | − | 0.0573063i | \(-0.0182512\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 270.653 | + | 468.785i | 0.789077 | + | 1.36672i | ||||
\(50\) | −37.1160 | + | 21.4289i | −0.104980 | + | 0.0606102i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.94589 | − | 179.461i | 0.00785618 | − | 0.478591i | ||||
\(53\) | −149.102 | −0.386429 | −0.193214 | − | 0.981157i | \(-0.561891\pi\) | ||||
−0.193214 | + | 0.981157i | \(0.561891\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −169.538 | − | 293.649i | −0.415647 | − | 0.719921i | ||||
\(56\) | 359.200 | − | 622.152i | 0.857144 | − | 1.48462i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 247.794 | + | 143.064i | 0.560983 | + | 0.323884i | ||||
\(59\) | 380.070 | + | 219.433i | 0.838659 | + | 0.484200i | 0.856808 | − | 0.515635i | \(-0.172444\pi\) |
−0.0181492 | + | 0.999835i | \(0.505777\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −143.073 | + | 247.809i | −0.300305 | + | 0.520143i | −0.976205 | − | 0.216850i | \(-0.930422\pi\) |
0.675900 | + | 0.736993i | \(0.263755\pi\) | |||||||
\(62\) | −228.316 | − | 395.454i | −0.467679 | − | 0.810044i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −466.313 | −0.910768 | ||||||||
\(65\) | −275.077 | − | 495.038i | −0.524910 | − | 0.944645i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 465.166 | − | 268.564i | 0.848195 | − | 0.489706i | −0.0118462 | − | 0.999930i | \(-0.503771\pi\) |
0.860042 | + | 0.510224i | \(0.170438\pi\) | |||||||
\(68\) | 96.9863 | + | 167.985i | 0.172961 | + | 0.299576i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | − | 733.777i | − | 1.25290i | ||||||
\(71\) | −88.9656 | − | 51.3643i | −0.148708 | − | 0.0858567i | 0.423800 | − | 0.905756i | \(-0.360696\pi\) |
−0.572508 | + | 0.819899i | \(0.694029\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 75.5209i | − | 0.121083i | −0.998166 | − | 0.0605414i | \(-0.980717\pi\) | ||
0.998166 | − | 0.0605414i | \(-0.0192827\pi\) | |||||||
\(74\) | −233.175 | + | 403.871i | −0.366298 | + | 0.634446i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −348.696 | + | 201.319i | −0.526291 | + | 0.303854i | ||||
\(77\) | 834.535 | 1.23512 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 17.5526 | 0.0249978 | 0.0124989 | − | 0.999922i | \(-0.496021\pi\) | ||||
0.0124989 | + | 0.999922i | \(0.496021\pi\) | |||||||
\(80\) | −195.702 | + | 112.989i | −0.273502 | + | 0.157906i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −302.152 | + | 523.342i | −0.406916 | + | 0.704799i | ||||
\(83\) | 1463.08i | 1.93487i | 0.253122 | + | 0.967434i | \(0.418543\pi\) | ||||
−0.253122 | + | 0.967434i | \(0.581457\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 530.045 | + | 306.022i | 0.676371 | + | 0.390503i | ||||
\(86\) | − | 392.322i | − | 0.491920i | ||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −338.983 | − | 587.135i | −0.410633 | − | 0.711236i | ||||
\(89\) | 290.036 | − | 167.453i | 0.345436 | − | 0.199438i | −0.317237 | − | 0.948346i | \(-0.602755\pi\) |
0.662673 | + | 0.748909i | \(0.269422\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1393.66 | + | 22.8773i | 1.60545 | + | 0.0263538i | ||||
\(92\) | −614.946 | −0.696876 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −37.7100 | − | 65.3156i | −0.0413776 | − | 0.0716680i | ||||
\(95\) | −635.225 | + | 1100.24i | −0.686029 | + | 1.18824i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −648.442 | − | 374.378i | −0.678756 | − | 0.391880i | 0.120630 | − | 0.992697i | \(-0.461508\pi\) |
−0.799386 | + | 0.600818i | \(0.794842\pi\) | |||||||
\(98\) | 957.374 | + | 552.740i | 0.986830 | + | 0.569747i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 40.1797 | − | 69.5933i | 0.0401797 | − | 0.0695933i | ||||
\(101\) | 392.001 | + | 678.966i | 0.386194 | + | 0.668907i | 0.991934 | − | 0.126755i | \(-0.0404563\pi\) |
−0.605740 | + | 0.795662i | \(0.707123\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −396.040 | −0.378864 | −0.189432 | − | 0.981894i | \(-0.560665\pi\) | ||||
−0.189432 | + | 0.981894i | \(0.560665\pi\) | |||||||
\(104\) | −550.002 | − | 989.801i | −0.518578 | − | 0.933250i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −263.707 | + | 152.251i | −0.241636 | + | 0.139509i | ||||
\(107\) | −718.296 | − | 1244.12i | −0.648974 | − | 1.12406i | −0.983368 | − | 0.181623i | \(-0.941865\pi\) |
0.334394 | − | 0.942433i | \(-0.391468\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1977.92i | 1.73807i | 0.494746 | + | 0.869037i | \(0.335261\pi\) | ||||
−0.494746 | + | 0.869037i | \(0.664739\pi\) | |||||||
\(110\) | −599.703 | − | 346.239i | −0.519813 | − | 0.300114i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | − | 556.175i | − | 0.469228i | ||||||
\(113\) | 61.2026 | − | 106.006i | 0.0509509 | − | 0.0882496i | −0.839425 | − | 0.543475i | \(-0.817108\pi\) |
0.890376 | + | 0.455226i | \(0.150441\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1680.39 | + | 970.173i | −1.36258 | + | 0.786688i | ||||
\(116\) | −536.496 | −0.429417 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 896.273 | 0.699225 | ||||||||
\(119\) | −1304.55 | + | 753.180i | −1.00494 | + | 0.580201i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −271.718 | + | 470.629i | −0.204146 | + | 0.353591i | ||||
\(122\) | 584.379i | 0.433665i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 741.484 | + | 428.096i | 0.536994 | + | 0.310034i | ||||
\(125\) | 1256.75i | 0.899256i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1154.80 | + | 2000.18i | 0.806868 | + | 1.39754i | 0.915022 | + | 0.403403i | \(0.132173\pi\) |
−0.108154 | + | 0.994134i | \(0.534494\pi\) | |||||||
\(128\) | 249.616 | − | 144.116i | 0.172369 | − | 0.0995170i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −992.006 | − | 594.654i | −0.669266 | − | 0.401190i | ||||
\(131\) | 1444.26 | 0.963250 | 0.481625 | − | 0.876377i | \(-0.340047\pi\) | ||||
0.481625 | + | 0.876377i | \(0.340047\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1563.41 | − | 2707.91i | −1.01929 | − | 1.76546i | ||||
\(134\) | 548.472 | − | 949.982i | 0.353588 | − | 0.612433i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1059.80 | + | 611.874i | 0.668212 | + | 0.385792i | ||||
\(137\) | −637.324 | − | 367.959i | −0.397447 | − | 0.229466i | 0.287935 | − | 0.957650i | \(-0.407031\pi\) |
−0.685382 | + | 0.728184i | \(0.740365\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 752.571 | − | 1303.49i | 0.459225 | − | 0.795400i | −0.539696 | − | 0.841860i | \(-0.681461\pi\) |
0.998920 | + | 0.0464599i | \(0.0147940\pi\) | |||||||
\(140\) | 687.923 | + | 1191.52i | 0.415286 | + | 0.719297i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −209.797 | −0.123984 | ||||||||
\(143\) | 676.309 | − | 1128.22i | 0.395495 | − | 0.659767i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1466.02 | + | 846.406i | −0.839629 | + | 0.484760i | ||||
\(146\) | −77.1160 | − | 133.569i | −0.0437134 | − | 0.0757139i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 874.415i | − | 0.485652i | ||||||
\(149\) | −370.523 | − | 213.921i | −0.203721 | − | 0.117618i | 0.394669 | − | 0.918823i | \(-0.370859\pi\) |
−0.598390 | + | 0.801205i | \(0.704193\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 1601.83i | − | 0.863278i | −0.902046 | − | 0.431639i | \(-0.857935\pi\) | ||
0.902046 | − | 0.431639i | \(-0.142065\pi\) | |||||||
\(152\) | −1270.10 | + | 2199.87i | −0.677753 | + | 1.17390i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1475.99 | − | 852.161i | 0.772327 | − | 0.445903i | ||||
\(155\) | 2701.55 | 1.39996 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −730.346 | −0.371261 | −0.185631 | − | 0.982620i | \(-0.559433\pi\) | ||||
−0.185631 | + | 0.982620i | \(0.559433\pi\) | |||||||
\(158\) | 31.0442 | − | 17.9234i | 0.0156313 | − | 0.00902473i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 936.811 | − | 1622.60i | 0.462884 | − | 0.801738i | ||||
\(161\) | − | 4775.58i | − | 2.33769i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1644.03 | − | 949.180i | −0.790001 | − | 0.456107i | 0.0499619 | − | 0.998751i | \(-0.484090\pi\) |
−0.839963 | + | 0.542644i | \(0.817423\pi\) | |||||||
\(164\) | − | 1133.08i | − | 0.539505i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1493.98 | + | 2587.66i | 0.698528 | + | 1.20989i | ||||
\(167\) | −1236.25 | + | 713.751i | −0.572839 | + | 0.330729i | −0.758282 | − | 0.651926i | \(-0.773961\pi\) |
0.185444 | + | 0.982655i | \(0.440628\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1160.36 | − | 1865.58i | 0.528155 | − | 0.849148i | ||||
\(170\) | 1249.94 | 0.563919 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 367.806 | + | 637.058i | 0.163052 | + | 0.282414i | ||||
\(173\) | 1022.20 | − | 1770.50i | 0.449227 | − | 0.778084i | −0.549109 | − | 0.835751i | \(-0.685033\pi\) |
0.998336 | + | 0.0576667i | \(0.0183661\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 540.450 | + | 312.029i | 0.233453 | + | 0.134784i | ||||
\(176\) | −454.552 | − | 262.436i | −0.194677 | − | 0.112397i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 341.979 | − | 592.325i | 0.144002 | − | 0.249419i | ||||
\(179\) | 1944.86 | + | 3368.59i | 0.812098 | + | 1.40660i | 0.911393 | + | 0.411537i | \(0.135008\pi\) |
−0.0992948 | + | 0.995058i | \(0.531659\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2477.02 | 1.01721 | 0.508606 | − | 0.861000i | \(-0.330161\pi\) | ||||
0.508606 | + | 0.861000i | \(0.330161\pi\) | |||||||
\(182\) | 2488.24 | − | 1382.64i | 1.01341 | − | 0.563121i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3359.84 | + | 1939.81i | −1.34615 | + | 0.777198i | ||||
\(185\) | −1379.53 | − | 2389.41i | −0.548242 | − | 0.949583i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1421.58i | 0.555914i | ||||||||
\(188\) | 122.468 | + | 70.7070i | 0.0475101 | + | 0.0274300i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2594.57i | 0.990683i | ||||||||
\(191\) | 1138.40 | − | 1971.78i | 0.431267 | − | 0.746977i | −0.565715 | − | 0.824601i | \(-0.691400\pi\) |
0.996983 | + | 0.0776235i | \(0.0247332\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3396.92 | − | 1961.21i | 1.26692 | − | 0.731456i | 0.292515 | − | 0.956261i | \(-0.405508\pi\) |
0.974404 | + | 0.224805i | \(0.0721744\pi\) | |||||||
\(194\) | −1529.14 | −0.565907 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2072.80 | −0.755392 | ||||||||
\(197\) | −4384.88 | + | 2531.61i | −1.58584 | + | 0.915584i | −0.591855 | + | 0.806045i | \(0.701604\pi\) |
−0.993982 | + | 0.109539i | \(0.965063\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1635.03 | − | 2831.95i | 0.582433 | − | 1.00880i | −0.412757 | − | 0.910841i | \(-0.635434\pi\) |
0.995190 | − | 0.0979624i | \(-0.0312325\pi\) | |||||||
\(200\) | − | 506.977i | − | 0.179243i | ||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1386.61 | + | 800.561i | 0.482979 | + | 0.278848i | ||||
\(203\) | − | 4166.34i | − | 1.44049i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1787.61 | − | 3096.23i | −0.609035 | − | 1.05488i | ||||
\(206\) | −700.450 | + | 404.405i | −0.236906 | + | 0.136778i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −751.902 | − | 450.725i | −0.250649 | − | 0.150251i | ||||
\(209\) | −2950.84 | −0.976622 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1406.09 | + | 2435.42i | 0.458764 | + | 0.794602i | 0.998896 | − | 0.0469781i | \(-0.0149591\pi\) |
−0.540132 | + | 0.841580i | \(0.681626\pi\) | |||||||
\(212\) | 285.474 | − | 494.455i | 0.0924831 | − | 0.160185i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2540.80 | − | 1466.93i | −0.811616 | − | 0.468587i | ||||
\(215\) | 2010.12 | + | 1160.54i | 0.637622 | + | 0.368131i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3324.53 | + | 5758.25i | −1.04002 | + | 1.80136i | ||||
\(218\) | 2019.69 | + | 3498.21i | 0.627481 | + | 1.08683i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1298.41 | 0.397903 | ||||||||
\(221\) | −38.9700 | + | 2374.02i | −0.0118616 | + | 0.722596i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 794.783 | − | 458.868i | 0.238666 | − | 0.137794i | −0.375897 | − | 0.926661i | \(-0.622665\pi\) |
0.614564 | + | 0.788867i | \(0.289332\pi\) | |||||||
\(224\) | 2305.68 | + | 3993.55i | 0.687743 | + | 1.19121i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | − | 249.981i | − | 0.0735774i | ||||||
\(227\) | 1157.35 | + | 668.194i | 0.338396 | + | 0.195373i | 0.659562 | − | 0.751650i | \(-0.270742\pi\) |
−0.321167 | + | 0.947023i | \(0.604075\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 164.820i | 0.0475617i | 0.999717 | + | 0.0237808i | \(0.00757039\pi\) | ||||
−0.999717 | + | 0.0237808i | \(0.992430\pi\) | |||||||
\(230\) | −1981.33 | + | 3431.76i | −0.568022 | + | 0.983843i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2931.22 | + | 1692.34i | −0.829500 | + | 0.478912i | ||||
\(233\) | −4243.42 | −1.19312 | −0.596558 | − | 0.802570i | \(-0.703465\pi\) | ||||
−0.596558 | + | 0.802570i | \(0.703465\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 446.205 | 0.123860 | ||||||||
\(236\) | −1455.38 | + | 840.264i | −0.401429 | + | 0.231765i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1538.18 | + | 2664.20i | −0.418929 | + | 0.725607i | ||||
\(239\) | − | 2491.07i | − | 0.674200i | −0.941469 | − | 0.337100i | \(-0.890554\pi\) | ||
0.941469 | − | 0.337100i | \(-0.109446\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2526.54 | − | 1458.70i | −0.675306 | − | 0.389888i | 0.122778 | − | 0.992434i | \(-0.460820\pi\) |
−0.798084 | + | 0.602546i | \(0.794153\pi\) | |||||||
\(242\) | 1109.83i | 0.294803i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −547.861 | − | 948.922i | −0.143743 | − | 0.248969i | ||||
\(245\) | −5664.08 | + | 3270.16i | −1.47700 | + | 0.852746i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4927.87 | − | 80.8921i | −1.26944 | − | 0.0208382i | ||||
\(248\) | 5401.60 | 1.38307 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1283.29 | + | 2222.73i | 0.324650 | + | 0.562310i | ||||
\(251\) | 656.939 | − | 1137.85i | 0.165202 | − | 0.286138i | −0.771525 | − | 0.636199i | \(-0.780506\pi\) |
0.936727 | + | 0.350061i | \(0.113839\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3902.99 | − | 2253.39i | −0.969878 | − | 0.559959i | ||||
\(254\) | 4084.85 | + | 2358.39i | 1.00908 | + | 0.582593i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2159.57 | − | 3740.49i | 0.527239 | − | 0.913205i | ||||
\(257\) | 493.791 | + | 855.271i | 0.119851 | + | 0.207589i | 0.919709 | − | 0.392601i | \(-0.128425\pi\) |
−0.799857 | + | 0.600190i | \(0.795091\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6790.57 | 1.62913 | ||||||||
\(260\) | 2168.33 | + | 35.5936i | 0.517207 | + | 0.00849007i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2554.37 | − | 1474.77i | 0.602326 | − | 0.347753i | ||||
\(263\) | −3493.23 | − | 6050.44i | −0.819017 | − | 1.41858i | −0.906407 | − | 0.422405i | \(-0.861186\pi\) |
0.0873899 | − | 0.996174i | \(-0.472147\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 1801.52i | − | 0.417609i | ||||||
\(266\) | −5530.22 | − | 3192.87i | −1.27473 | − | 0.735968i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2056.79i | 0.468801i | ||||||||
\(269\) | −2952.17 | + | 5113.31i | −0.669134 | + | 1.15897i | 0.309013 | + | 0.951058i | \(0.400001\pi\) |
−0.978147 | + | 0.207916i | \(0.933332\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1845.97 | + | 1065.77i | −0.413781 | + | 0.238897i | −0.692413 | − | 0.721501i | \(-0.743452\pi\) |
0.278632 | + | 0.960398i | \(0.410119\pi\) | |||||||
\(272\) | 947.408 | 0.211195 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1502.92 | −0.331368 | ||||||||
\(275\) | 510.032 | − | 294.467i | 0.111840 | − | 0.0645710i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2016.21 | − | 3492.17i | 0.437336 | − | 0.757489i | −0.560147 | − | 0.828393i | \(-0.689255\pi\) |
0.997483 | + | 0.0709046i | \(0.0225886\pi\) | |||||||
\(278\) | − | 3073.86i | − | 0.663159i | ||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 7517.12 | + | 4340.01i | 1.60441 | + | 0.926305i | ||||
\(281\) | 2298.29i | 0.487916i | 0.969786 | + | 0.243958i | \(0.0784459\pi\) | ||||
−0.969786 | + | 0.243958i | \(0.921554\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3328.40 | + | 5764.96i | 0.699127 | + | 1.21092i | 0.968770 | + | 0.247963i | \(0.0797611\pi\) |
−0.269643 | + | 0.962960i | \(0.586906\pi\) | |||||||
\(284\) | 340.671 | − | 196.687i | 0.0711800 | − | 0.0410958i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 44.0914 | − | 2686.01i | 0.00911601 | − | 0.555339i | ||||
\(287\) | 8799.33 | 1.80978 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1173.51 | + | 2032.57i | 0.238857 | + | 0.413713i | ||||
\(290\) | −1728.57 | + | 2993.96i | −0.350017 | + | 0.606247i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 250.444 | + | 144.594i | 0.0501922 | + | 0.0289785i | ||||
\(293\) | 6466.60 | + | 3733.49i | 1.28936 | + | 0.744413i | 0.978540 | − | 0.206055i | \(-0.0660627\pi\) |
0.310821 | + | 0.950468i | \(0.399396\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2651.29 | + | 4592.18i | −0.523269 | + | 0.906328i | ||||
\(296\) | −2758.28 | − | 4777.49i | −0.541628 | − | 0.938128i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −873.759 | −0.169851 | ||||||||
\(299\) | −6456.18 | − | 3870.14i | −1.24873 | − | 0.748548i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4947.29 | + | 2856.32i | −0.947365 | + | 0.546962i | ||||
\(302\) | −1635.66 | − | 2833.05i | −0.311662 | − | 0.539814i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1966.58i | 0.371024i | ||||||||
\(305\) | −2994.14 | − | 1728.67i | −0.562112 | − | 0.324536i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 3965.99i | − | 0.737299i | −0.929568 | − | 0.368650i | \(-0.879820\pi\) | ||
0.929568 | − | 0.368650i | \(-0.120180\pi\) | |||||||
\(308\) | −1597.82 | + | 2767.50i | −0.295598 | + | 0.511991i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4778.06 | − | 2758.61i | 0.875405 | − | 0.505415i | ||||
\(311\) | 7372.29 | 1.34419 | 0.672097 | − | 0.740463i | \(-0.265394\pi\) | ||||
0.672097 | + | 0.740463i | \(0.265394\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8249.55 | 1.48975 | 0.744875 | − | 0.667204i | \(-0.232509\pi\) | ||||
0.744875 | + | 0.667204i | \(0.232509\pi\) | |||||||
\(314\) | −1291.72 | + | 745.772i | −0.232152 | + | 0.134033i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −33.6067 | + | 58.2084i | −0.00598267 | + | 0.0103623i | ||||
\(317\) | − | 5575.26i | − | 0.987817i | −0.869514 | − | 0.493909i | \(-0.835568\pi\) | ||
0.869514 | − | 0.493909i | \(-0.164432\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3405.08 | − | 1965.92i | −0.597642 | − | 0.345049i | ||||
\(320\) | − | 5634.21i | − | 0.984256i | ||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −4876.44 | − | 8446.25i | −0.843955 | − | 1.46177i | ||||
\(323\) | 4612.76 | − | 2663.18i | 0.794615 | − | 0.458771i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 859.819 | − | 477.775i | 0.146751 | − | 0.0815452i | ||||
\(326\) | −3876.91 | −0.658657 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −3574.23 | − | 6190.74i | −0.601688 | − | 1.04215i | ||||
\(329\) | −549.099 | + | 951.068i | −0.0920146 | + | 0.159374i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3600.38 | − | 2078.68i | −0.597870 | − | 0.345180i | 0.170333 | − | 0.985387i | \(-0.445516\pi\) |
−0.768203 | + | 0.640206i | \(0.778849\pi\) | |||||||
\(332\) | −4851.91 | − | 2801.25i | −0.802057 | − | 0.463068i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1457.65 | + | 2524.73i | −0.238800 | + | 0.413614i | ||||
\(335\) | 3244.91 | + | 5620.35i | 0.529219 | + | 0.916634i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3225.18 | −0.521326 | −0.260663 | − | 0.965430i | \(-0.583941\pi\) | ||||
−0.260663 | + | 0.965430i | \(0.583941\pi\) | |||||||
\(338\) | 147.264 | − | 4484.39i | 0.0236986 | − | 0.721653i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2029.67 | + | 1171.83i | −0.323749 | + | 0.186916i | ||||
\(341\) | 3137.41 | + | 5434.15i | 0.498241 | + | 0.862979i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 5897.11i | − | 0.928321i | ||||||
\(344\) | 4019.11 | + | 2320.44i | 0.629930 | + | 0.363690i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 4175.15i | − | 0.648721i | ||||||
\(347\) | 1645.25 | − | 2849.65i | 0.254529 | − | 0.440856i | −0.710239 | − | 0.703961i | \(-0.751413\pi\) |
0.964767 | + | 0.263104i | \(0.0847464\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3889.77 | + | 2245.76i | −0.596604 | + | 0.344449i | −0.767704 | − | 0.640804i | \(-0.778601\pi\) |
0.171101 | + | 0.985254i | \(0.445268\pi\) | |||||||
\(350\) | 1274.48 | 0.194639 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4351.81 | 0.658955 | ||||||||
\(353\) | 5107.71 | − | 2948.94i | 0.770130 | − | 0.444635i | −0.0627907 | − | 0.998027i | \(-0.520000\pi\) |
0.832921 | + | 0.553392i | \(0.186667\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 620.607 | − | 1074.92i | 0.0927843 | − | 0.160707i | ||||
\(356\) | 1282.43i | 0.190924i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6879.49 | + | 3971.87i | 1.01562 | + | 0.586369i | ||||
\(359\) | 9277.20i | 1.36388i | 0.731410 | + | 0.681938i | \(0.238863\pi\) | ||||
−0.731410 | + | 0.681938i | \(0.761137\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2098.59 | + | 3634.87i | 0.305962 | + | 0.529942i | ||||
\(362\) | 4380.94 | − | 2529.33i | 0.636069 | − | 0.367234i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2744.21 | + | 4577.90i | −0.395152 | + | 0.659195i | ||||
\(365\) | 912.477 | 0.130853 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3287.18 | + | 5693.56i | 0.467546 | + | 0.809814i | 0.999312 | − | 0.0370774i | \(-0.0118048\pi\) |
−0.531766 | + | 0.846891i | \(0.678471\pi\) | |||||||
\(368\) | −1501.77 | + | 2601.14i | −0.212732 | + | 0.368462i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4879.75 | − | 2817.33i | −0.685638 | − | 0.395853i | ||||
\(371\) | 3839.86 | + | 2216.94i | 0.537347 | + | 0.310237i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2672.77 | − | 4629.38i | 0.371021 | − | 0.642628i | −0.618702 | − | 0.785626i | \(-0.712341\pi\) |
0.989723 | + | 0.142998i | \(0.0456743\pi\) | |||||||
\(374\) | 1451.60 | + | 2514.25i | 0.200697 | + | 0.347617i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 892.162 | 0.122366 | ||||||||
\(377\) | −5632.55 | − | 3376.41i | −0.769472 | − | 0.461258i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 899.378 | − | 519.256i | 0.121894 | − | 0.0703757i | −0.437813 | − | 0.899066i | \(-0.644247\pi\) |
0.559707 | + | 0.828690i | \(0.310914\pi\) | |||||||
\(380\) | −2432.43 | − | 4213.10i | −0.328372 | − | 0.568756i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | − | 4649.80i | − | 0.622786i | ||||||
\(383\) | −5844.97 | − | 3374.59i | −0.779801 | − | 0.450219i | 0.0565585 | − | 0.998399i | \(-0.481987\pi\) |
−0.836360 | + | 0.548181i | \(0.815321\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 10083.2i | 1.33478i | ||||||||
\(386\) | 4005.27 | − | 6937.33i | 0.528142 | − | 0.914769i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2483.04 | − | 1433.59i | 0.324890 | − | 0.187575i | ||||
\(389\) | −1246.11 | −0.162417 | −0.0812083 | − | 0.996697i | \(-0.525878\pi\) | ||||
−0.0812083 | + | 0.996697i | \(0.525878\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8134.89 | 1.05217 | ||||||||
\(392\) | −11325.0 | + | 6538.50i | −1.45918 | + | 0.842459i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −5170.17 | + | 8954.99i | −0.661090 | + | 1.14504i | ||||
\(395\) | 212.079i | 0.0270148i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −7236.24 | − | 4177.85i | −0.914802 | − | 0.528161i | −0.0328293 | − | 0.999461i | \(-0.510452\pi\) |
−0.881973 | + | 0.471300i | \(0.843785\pi\) | |||||||
\(398\) | − | 6678.25i | − | 0.841082i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −196.247 | − | 339.910i | −0.0245309 | − | 0.0424887i | ||||
\(401\) | −2843.73 | + | 1641.83i | −0.354137 | + | 0.204461i | −0.666506 | − | 0.745500i | \(-0.732211\pi\) |
0.312369 | + | 0.949961i | \(0.398878\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5090.47 | + | 9160.98i | 0.629217 | + | 1.13236i | ||||
\(404\) | −3002.14 | −0.369708 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4254.34 | − | 7368.74i | −0.520048 | − | 0.900749i | ||||
\(407\) | 3204.18 | − | 5549.81i | 0.390235 | − | 0.675906i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9464.72 | + | 5464.46i | 1.14426 | + | 0.660636i | 0.947481 | − | 0.319813i | \(-0.103620\pi\) |
0.196775 | + | 0.980449i | \(0.436953\pi\) | |||||||
\(410\) | −6323.26 | − | 3650.74i | −0.761667 | − | 0.439749i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 758.267 | − | 1313.36i | 0.0906726 | − | 0.157050i | ||||
\(413\) | −6525.36 | − | 11302.3i | −0.777462 | − | 1.34660i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −17677.6 | −2.09099 | ||||||||
\(416\) | 7267.47 | + | 119.297i | 0.856531 | + | 0.0140601i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5218.96 | + | 3013.17i | −0.610688 | + | 0.352581i | ||||
\(419\) | 3651.47 | + | 6324.53i | 0.425742 | + | 0.737407i | 0.996489 | − | 0.0837185i | \(-0.0266796\pi\) |
−0.570747 | + | 0.821126i | \(0.693346\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 7580.99i | − | 0.877612i | −0.898582 | − | 0.438806i | \(-0.855401\pi\) | ||
0.898582 | − | 0.438806i | \(-0.144599\pi\) | |||||||
\(422\) | 4973.71 | + | 2871.57i | 0.573736 | + | 0.331247i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | − | 3602.03i | − | 0.412571i | ||||||
\(425\) | −531.521 | + | 920.622i | −0.0606649 | + | 0.105075i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7369.18 | − | 4254.60i | 0.835175 | − | 0.482188i | ||||
\(428\) | 5501.06 | 0.621270 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4740.21 | 0.531612 | ||||||||
\(431\) | −8709.40 | + | 5028.37i | −0.973357 | + | 0.561968i | −0.900258 | − | 0.435357i | \(-0.856622\pi\) |
−0.0730993 | + | 0.997325i | \(0.523289\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1366.69 | − | 2367.18i | 0.151683 | − | 0.262723i | −0.780163 | − | 0.625576i | \(-0.784864\pi\) |
0.931846 | + | 0.362853i | \(0.118197\pi\) | |||||||
\(434\) | 13579.0i | 1.50187i | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −6559.22 | − | 3786.97i | −0.720481 | − | 0.415970i | ||||
\(437\) | 16886.0i | 1.84844i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3372.12 | + | 5840.68i | 0.366611 | + | 0.634989i | 0.989033 | − | 0.147692i | \(-0.0471846\pi\) |
−0.622422 | + | 0.782682i | \(0.713851\pi\) | |||||||
\(440\) | 7094.03 | − | 4095.74i | 0.768624 | − | 0.443765i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2355.24 | + | 4238.56i | 0.253455 | + | 0.456126i | ||||
\(443\) | −8655.69 | −0.928317 | −0.464158 | − | 0.885752i | \(-0.653643\pi\) | ||||
−0.464158 | + | 0.885752i | \(0.653643\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2023.24 | + | 3504.35i | 0.215530 | + | 0.373308i | ||||
\(446\) | 937.120 | − | 1623.14i | 0.0994931 | − | 0.172327i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 12009.1 | + | 6933.45i | 1.26646 | + | 0.731193i | ||||
\(449\) | −5648.62 | − | 3261.23i | −0.593708 | − | 0.342777i | 0.172854 | − | 0.984947i | \(-0.444701\pi\) |
−0.766562 | + | 0.642170i | \(0.778034\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4152.03 | − | 7191.53i | 0.433507 | − | 0.750856i | ||||
\(452\) | 234.360 | + | 405.923i | 0.0243879 | + | 0.0422411i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2729.23 | 0.282135 | ||||||||
\(455\) | −276.414 | + | 16838.9i | −0.0284802 | + | 1.73499i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1343.40 | + | 775.613i | −0.137509 | + | 0.0793909i | −0.567176 | − | 0.823596i | \(-0.691964\pi\) |
0.429667 | + | 0.902987i | \(0.358631\pi\) | |||||||
\(458\) | 168.301 | + | 291.507i | 0.0171708 | + | 0.0297406i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 7430.06i | − | 0.753105i | ||||||
\(461\) | 6725.77 | + | 3883.12i | 0.679501 | + | 0.392310i | 0.799667 | − | 0.600444i | \(-0.205009\pi\) |
−0.120166 | + | 0.992754i | \(0.538343\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2004.52i | 0.201205i | 0.994927 | + | 0.100603i | \(0.0320771\pi\) | ||||
−0.994927 | + | 0.100603i | \(0.967923\pi\) | |||||||
\(464\) | −1310.19 | + | 2269.31i | −0.131086 | + | 0.227048i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −7505.06 | + | 4333.05i | −0.746063 | + | 0.430739i | ||||
\(467\) | 18674.3 | 1.85042 | 0.925209 | − | 0.379458i | \(-0.123889\pi\) | ||||
0.925209 | + | 0.379458i | \(0.123889\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −15972.7 | −1.57261 | ||||||||
\(470\) | 789.173 | − | 455.629i | 0.0774507 | − | 0.0447162i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −5301.11 | + | 9181.80i | −0.516957 | + | 0.895395i | ||||
\(473\) | 5391.11i | 0.524067i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1910.98 | − | 1103.31i | −0.184594 | − | 0.106575i | ||||
\(476\) | − | 5768.22i | − | 0.555433i | ||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2543.68 | − | 4405.79i | −0.243400 | − | 0.421581i | ||||
\(479\) | −8065.31 | + | 4656.51i | −0.769340 | + | 0.444178i | −0.832639 | − | 0.553816i | \(-0.813171\pi\) |
0.0632994 | + | 0.997995i | \(0.479838\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5503.09 | − | 9180.28i | 0.521662 | − | 0.870239i | ||||
\(482\) | −5958.03 | −0.563031 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1040.47 | − | 1802.15i | −0.0977155 | − | 0.169248i | ||||
\(485\) | 4523.41 | − | 7834.77i | 0.423500 | − | 0.733523i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3062.96 | + | 1768.40i | 0.285002 | + | 0.164546i | 0.635686 | − | 0.771948i | \(-0.280717\pi\) |
−0.350684 | + | 0.936494i | \(0.614051\pi\) | |||||||
\(488\) | −5986.62 | − | 3456.38i | −0.555331 | − | 0.320621i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −6678.46 | + | 11567.4i | −0.615718 | + | 1.06646i | ||||
\(491\) | 1680.89 | + | 2911.39i | 0.154496 | + | 0.267595i | 0.932875 | − | 0.360199i | \(-0.117291\pi\) |
−0.778379 | + | 0.627794i | \(0.783958\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7097.10 | 0.648351 | ||||||||
\(494\) | −8798.20 | + | 4888.88i | −0.801315 | + | 0.445266i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3621.58 | − | 2090.92i | 0.327851 | − | 0.189285i | ||||
\(497\) | 1527.44 | + | 2645.60i | 0.137857 | + | 0.238775i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4027.43i | 0.361308i | 0.983547 | + | 0.180654i | \(0.0578214\pi\) | ||||
−0.983547 | + | 0.180654i | \(0.942179\pi\) | |||||||
\(500\) | −4167.66 | − | 2406.20i | −0.372767 | − | 0.215217i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | − | 2683.26i | − | 0.238565i | ||||||
\(503\) | 883.336 | − | 1529.98i | 0.0783022 | − | 0.135623i | −0.824215 | − | 0.566277i | \(-0.808383\pi\) |
0.902518 | + | 0.430653i | \(0.141717\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8203.57 | + | 4736.33i | −0.722880 | + | 0.417355i | ||||
\(506\) | −9203.96 | −0.808628 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8844.05 | −0.772424 | ||||||||
\(509\) | 5903.06 | − | 3408.13i | 0.514044 | − | 0.296784i | −0.220450 | − | 0.975398i | \(-0.570753\pi\) |
0.734495 | + | 0.678615i | \(0.237419\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1122.89 | + | 1944.91i | −0.0972091 | + | 0.168371i | ||||
\(512\) | − | 6514.89i | − | 0.562344i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1746.67 | + | 1008.44i | 0.149888 | + | 0.0865378i | ||||
\(515\) | − | 4785.13i | − | 0.409433i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 518.194 | + | 897.538i | 0.0440815 | + | 0.0763514i | ||||
\(518\) | 12010.0 | − | 6933.99i | 1.01871 | − | 0.588151i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 11959.2 | − | 6645.37i | 1.00855 | − | 0.560421i | ||||
\(521\) | 5442.27 | 0.457640 | 0.228820 | − | 0.973469i | \(-0.426513\pi\) | ||||
0.228820 | + | 0.973469i | \(0.426513\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10364.3 | − | 17951.4i | −0.866535 | − | 1.50088i | −0.865515 | − | 0.500883i | \(-0.833009\pi\) |
−0.00101984 | − | 0.999999i | \(-0.500325\pi\) | |||||||
\(524\) | −2765.22 | + | 4789.49i | −0.230532 | + | 0.399294i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12356.5 | − | 7134.01i | −1.02427 | − | 0.591365i | ||||
\(527\) | −9808.81 | − | 5663.12i | −0.810775 | − | 0.468101i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6811.41 | + | 11797.7i | −0.559827 | + | 0.969648i | ||||
\(530\) | −1839.57 | − | 3186.22i | −0.150765 | − | 0.261133i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 11973.4 | 0.975775 | ||||||||
\(533\) | 7130.99 | − | 11896.0i | 0.579508 | − | 0.966738i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 15032.1 | − | 8678.77i | 1.21475 | − | 0.701339i | ||||
\(536\) | 6488.01 | + | 11237.6i | 0.522835 | + | 0.905577i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 12058.1i | 0.966285i | ||||||||
\(539\) | −13155.8 | − | 7595.50i | −1.05132 | − | 0.606979i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8577.44i | 0.681651i | 0.940127 | + | 0.340825i | \(0.110706\pi\) | ||||
−0.940127 | + | 0.340825i | \(0.889294\pi\) | |||||||
\(542\) | −2176.56 | + | 3769.92i | −0.172493 | + | 0.298767i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −6802.75 | + | 3927.57i | −0.536150 | + | 0.309546i | ||||
\(545\) | −23898.1 | −1.87832 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8723.99 | 0.681921 | 0.340961 | − | 0.940078i | \(-0.389248\pi\) | ||||
0.340961 | + | 0.940078i | \(0.389248\pi\) | |||||||
\(548\) | 2440.47 | − | 1409.01i | 0.190240 | − | 0.109835i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 601.373 | − | 1041.61i | 0.0466230 | − | 0.0807533i | ||||
\(551\) | 14731.8i | 1.13901i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −452.037 | − | 260.984i | −0.0347606 | − | 0.0200690i | ||||
\(554\) | − | 8235.17i | − | 0.631550i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2881.78 | + | 4991.39i | 0.219810 | + | 0.380723i | ||||
\(557\) | 835.720 | − | 482.503i | 0.0635738 | − | 0.0367043i | −0.467876 | − | 0.883794i | \(-0.654981\pi\) |
0.531450 | + | 0.847090i | \(0.321647\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −147.788 | + | 9003.09i | −0.0111820 | + | 0.681199i | ||||
\(560\) | 6719.95 | 0.507089 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2346.83 | + | 4064.83i | 0.176148 | + | 0.305097i | ||||
\(563\) | 7302.60 | − | 12648.5i | 0.546657 | − | 0.946837i | −0.451844 | − | 0.892097i | \(-0.649234\pi\) |
0.998501 | − | 0.0547402i | \(-0.0174331\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1280.81 | + | 739.477i | 0.0953702 | + | 0.0550620i | ||||
\(566\) | 11773.4 | + | 6797.40i | 0.874337 | + | 0.504799i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1240.87 | − | 2149.25i | 0.0916650 | − | 0.158768i | ||||
\(569\) | −3901.24 | − | 6757.15i | −0.287432 | − | 0.497846i | 0.685764 | − | 0.727824i | \(-0.259468\pi\) |
−0.973196 | + | 0.229977i | \(0.926135\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −11988.2 | −0.878618 | −0.439309 | − | 0.898336i | \(-0.644777\pi\) | ||||
−0.439309 | + | 0.898336i | \(0.644777\pi\) | |||||||
\(572\) | 2446.56 | + | 4402.91i | 0.178839 | + | 0.321844i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 15562.8 | − | 8985.18i | 1.13167 | − | 0.653370i | ||||
\(575\) | −1685.07 | − | 2918.63i | −0.122213 | − | 0.211678i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 5576.90i | − | 0.402374i | −0.979553 | − | 0.201187i | \(-0.935520\pi\) | ||
0.979553 | − | 0.201187i | \(-0.0644798\pi\) | |||||||
\(578\) | 4151.01 | + | 2396.58i | 0.298718 | + | 0.172465i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | − | 6482.19i | − | 0.464066i | ||||||
\(581\) | 21754.1 | − | 37679.1i | 1.55337 | − | 2.69052i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3623.74 | − | 2092.17i | 0.257427 | − | 0.148626i | ||||
\(584\) | 1824.45 | 0.129274 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 15249.4 | 1.07499 | ||||||||
\(587\) | 23169.7 | − | 13377.0i | 1.62916 | − | 0.940593i | 0.644810 | − | 0.764343i | \(-0.276936\pi\) |
0.984345 | − | 0.176251i | \(-0.0563969\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 11755.2 | − | 20360.6i | 0.822353 | − | 1.42436i | ||||
\(590\) | 10829.2i | 0.755644i | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3698.66 | − | 2135.42i | −0.256781 | − | 0.148252i | ||||
\(593\) | 3589.40i | 0.248565i | 0.992247 | + | 0.124283i | \(0.0396629\pi\) | ||||
−0.992247 | + | 0.124283i | \(0.960337\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −9100.26 | − | 15762.1i | −0.627016 | − | 1.08602i | ||||
\(596\) | 1418.82 | − | 819.158i | 0.0975122 | − | 0.0562987i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −15370.5 | − | 252.310i | −1.05108 | − | 0.0172537i | ||||
\(599\) | 7462.78 | 0.509050 | 0.254525 | − | 0.967066i | \(-0.418081\pi\) | ||||
0.254525 | + | 0.967066i | \(0.418081\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8255.52 | + | 14299.0i | 0.560316 | + | 0.970495i | 0.997469 | + | 0.0711081i | \(0.0226535\pi\) |
−0.437153 | + | 0.899387i | \(0.644013\pi\) | |||||||
\(602\) | −5833.30 | + | 10103.6i | −0.394929 | + | 0.684037i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5312.02 | + | 3066.90i | 0.357853 | + | 0.206606i | ||||
\(605\) | −5686.35 | − | 3283.02i | −0.382121 | − | 0.220618i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5976.78 | − | 10352.1i | 0.399654 | − | 0.692222i | −0.594029 | − | 0.804444i | \(-0.702464\pi\) |
0.993683 | + | 0.112222i | \(0.0357968\pi\) | |||||||
\(608\) | −8152.66 | − | 14120.8i | −0.543806 | − | 0.941900i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −7060.73 | −0.468657 | ||||||||
\(611\) | 840.773 | + | 1513.08i | 0.0556695 | + | 0.100185i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3962.63 | − | 2287.82i | 0.261091 | − | 0.150741i | −0.363741 | − | 0.931500i | \(-0.618501\pi\) |
0.624832 | + | 0.780759i | \(0.285167\pi\) | |||||||
\(614\) | −4049.76 | − | 7014.38i | −0.266181 | − | 0.461038i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 20160.9i | 1.31868i | ||||||||
\(617\) | 16654.6 | + | 9615.51i | 1.08669 | + | 0.627400i | 0.932693 | − | 0.360671i | \(-0.117452\pi\) |
0.153996 | + | 0.988071i | \(0.450786\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 11715.6i | − | 0.760727i | −0.924837 | − | 0.380363i | \(-0.875799\pi\) | ||
0.924837 | − | 0.380363i | \(-0.124201\pi\) | |||||||
\(620\) | −5172.45 | + | 8958.95i | −0.335050 | + | 0.580323i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 13038.9 | − | 7528.00i | 0.840533 | − | 0.485282i | ||||
\(623\) | −9959.17 | −0.640459 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −17807.8 | −1.13970 | ||||||||
\(626\) | 14590.4 | − | 8423.79i | 0.931551 | − | 0.537831i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1398.34 | − | 2421.99i | 0.0888531 | − | 0.153898i | ||||
\(629\) | 11567.3i | 0.733256i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7603.78 | + | 4390.04i | 0.479717 | + | 0.276965i | 0.720299 | − | 0.693664i | \(-0.244005\pi\) |
−0.240581 | + | 0.970629i | \(0.577338\pi\) | |||||||
\(632\) | 424.040i | 0.0266889i | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5693.02 | − | 9860.60i | −0.356623 | − | 0.617689i | ||||
\(635\) | −24167.1 | + | 13952.9i | −1.51030 | + | 0.871973i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −21761.8 | − | 13045.0i | −1.35359 | − | 0.811403i | ||||
\(638\) | −8029.78 | −0.498279 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1741.28 | + | 3015.98i | 0.107547 | + | 0.186277i | ||||
\(641\) | −12495.9 | + | 21643.5i | −0.769980 | + | 1.33364i | 0.167593 | + | 0.985856i | \(0.446401\pi\) |
−0.937573 | + | 0.347789i | \(0.886933\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2038.50 | − | 1176.93i | −0.125024 | − | 0.0721827i | 0.436184 | − | 0.899858i | \(-0.356330\pi\) |
−0.561208 | + | 0.827675i | \(0.689663\pi\) | |||||||
\(644\) | 15836.9 | + | 9143.42i | 0.969038 | + | 0.559474i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5438.85 | − | 9420.37i | 0.331252 | − | 0.573745i | ||||
\(647\) | 2955.40 | + | 5118.90i | 0.179581 | + | 0.311043i | 0.941737 | − | 0.336350i | \(-0.109193\pi\) |
−0.762156 | + | 0.647393i | \(0.775859\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −12316.2 | −0.744918 | ||||||||
\(650\) | 1032.84 | − | 1722.99i | 0.0623251 | − | 0.103971i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6295.38 | − | 3634.64i | 0.378138 | − | 0.218318i | ||||
\(653\) | 2962.17 | + | 5130.63i | 0.177517 | + | 0.307469i | 0.941029 | − | 0.338325i | \(-0.109860\pi\) |
−0.763512 | + | 0.645793i | \(0.776527\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 17450.2i | 1.04097i | ||||||||
\(656\) | −4792.79 | − | 2767.12i | −0.285254 | − | 0.164692i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2242.79i | 0.132877i | ||||||||
\(659\) | −6419.77 | + | 11119.4i | −0.379482 | + | 0.657282i | −0.990987 | − | 0.133958i | \(-0.957231\pi\) |
0.611505 | + | 0.791241i | \(0.290564\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8890.18 | − | 5132.75i | 0.523129 | − | 0.302028i | −0.215085 | − | 0.976595i | \(-0.569003\pi\) |
0.738214 | + | 0.674567i | \(0.235670\pi\) | |||||||
\(662\) | −8490.35 | −0.498469 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −35345.4 | −2.06577 | ||||||||
\(665\) | 32718.2 | − | 18889.9i | 1.90791 | − | 1.10153i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −11249.9 | + | 19485.4i | −0.653069 | + | 1.13115i | ||||
\(668\) | − | 5466.25i | − | 0.316610i | ||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 11478.1 | + | 6626.89i | 0.661848 | + | 0.382118i | ||||
\(671\) | − | 8030.27i | − | 0.462004i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4931.41 | + | 8541.45i | 0.282454 | + | 0.489225i | 0.971989 | − | 0.235028i | \(-0.0755181\pi\) |
−0.689534 | + | 0.724253i | \(0.742185\pi\) | |||||||
\(674\) | −5704.17 | + | 3293.30i | −0.325989 | + | 0.188210i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3965.03 | + | 7419.88i | 0.225593 | + | 0.422160i | ||||
\(677\) | −32615.5 | −1.85158 | −0.925788 | − | 0.378043i | \(-0.876597\pi\) | ||||
−0.925788 | + | 0.378043i | \(0.876597\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 11133.0 | + | 19282.9i | 0.629227 | + | 1.08985i | ||||
\(680\) | −7392.93 | + | 12804.9i | −0.416921 | + | 0.722128i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 11097.9 | + | 6407.35i | 0.623107 | + | 0.359751i | ||||
\(683\) | −18729.9 | − | 10813.7i | −1.04931 | − | 0.605820i | −0.126854 | − | 0.991921i | \(-0.540488\pi\) |
−0.922456 | + | 0.386102i | \(0.873821\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4445.85 | − | 7700.44i | 0.247981 | − | 0.429516i | ||||
\(686\) | −6021.66 | − | 10429.8i | −0.335143 | − | 0.580485i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3592.90 | 0.199096 | ||||||||
\(689\) | 6108.95 | − | 3394.56i | 0.337783 | − | 0.187696i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −12326.3 | + | 7116.57i | −0.678601 | + | 0.391790i | −0.799328 | − | 0.600896i | \(-0.794811\pi\) |
0.120727 | + | 0.992686i | \(0.461477\pi\) | |||||||
\(692\) | 3914.25 | + | 6779.67i | 0.215025 | + | 0.372434i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 6719.98i | − | 0.367561i | ||||||
\(695\) | 15749.4 | + | 9092.90i | 0.859579 | + | 0.496278i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14989.1i | 0.814566i | ||||||||
\(698\) | −4586.39 | + | 7943.86i | −0.248707 | + | 0.430773i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2069.52 | + | 1194.84i | −0.111743 | + | 0.0645151i | ||||
\(701\) | −28747.0 | −1.54887 | −0.774437 | − | 0.632651i | \(-0.781967\pi\) | ||||
−0.774437 | + | 0.632651i | \(0.781967\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −24010.8 | −1.28817 | ||||||||
\(704\) | 11333.2 | − | 6543.21i | 0.606726 | − | 0.350293i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6022.45 | − | 10431.2i | 0.321045 | − | 0.556066i | ||||
\(707\) | − | 23314.1i | − | 1.24019i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1575.00 | + | 909.324i | 0.0834276 | + | 0.0481670i | 0.541133 | − | 0.840937i | \(-0.317995\pi\) |
−0.457706 | + | 0.889104i | \(0.651329\pi\) | |||||||
\(710\) | − | 2534.86i | − | 0.133988i | ||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 4045.35 | + | 7006.75i | 0.212930 | + | 0.368805i | ||||
\(713\) | 31096.6 | − | 17953.6i | 1.63335 | − | 0.943014i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 13631.7 | + | 8171.47i | 0.713002 | + | 0.427407i | ||||
\(716\) | −14894.7 | −0.777431 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 9473.15 | + | 16408.0i | 0.492388 | + | 0.852841i | ||||
\(719\) | −13070.9 | + | 22639.5i | −0.677973 | + | 1.17428i | 0.297617 | + | 0.954685i | \(0.403808\pi\) |
−0.975590 | + | 0.219599i | \(0.929525\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 10199.3 | + | 5888.58i | 0.526827 | + | 0.304164i | ||||
\(722\) | 7423.29 | + | 4285.84i | 0.382640 | + | 0.220917i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4742.55 | + | 8214.34i | −0.243447 | + | 0.421662i | ||||
\(725\) | −1470.10 | − | 2546.29i | −0.0753078 | − | 0.130437i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1340.10 | 0.0683652 | 0.0341826 | − | 0.999416i | \(-0.489117\pi\) | ||||
0.0341826 | + | 0.999416i | \(0.489117\pi\) | |||||||
\(728\) | −552.674 | + | 33668.4i | −0.0281366 | + | 1.71406i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1613.84 | − | 931.750i | 0.0818231 | − | 0.0472406i | ||||
\(731\) | −4865.56 | − | 8427.39i | −0.246182 | − | 0.426400i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 32517.1i | 1.63854i | 0.573409 | + | 0.819269i | \(0.305620\pi\) | ||||
−0.573409 | + | 0.819269i | \(0.694380\pi\) | |||||||
\(734\) | 11627.6 | + | 6713.22i | 0.584719 | + | 0.337588i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 24903.0i | − | 1.24719i | ||||||
\(737\) | −7536.86 | + | 13054.2i | −0.376694 | + | 0.652454i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −19200.2 | + | 11085.3i | −0.955741 | + | 0.551797i | −0.894860 | − | 0.446348i | \(-0.852724\pi\) |
−0.0608813 | + | 0.998145i | \(0.519391\pi\) | |||||||
\(740\) | 10565.1 | 0.524838 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 9055.07 | 0.448008 | ||||||||
\(743\) | −26316.6 | + | 15193.9i | −1.29941 | + | 0.750216i | −0.980303 | − | 0.197502i | \(-0.936717\pi\) |
−0.319110 | + | 0.947718i | \(0.603384\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2584.70 | − | 4476.83i | 0.127109 | − | 0.220159i | ||||
\(746\) | − | 10916.9i | − | 0.535786i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −4714.27 | − | 2721.78i | −0.230442 | − | 0.133046i | ||||
\(749\) | 42720.3i | 2.08407i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8449.17 | − | 14634.4i | −0.410539 | − | 0.711074i | 0.584410 | − | 0.811459i | \(-0.301326\pi\) |
−0.994949 | + | 0.100385i | \(0.967993\pi\) | |||||||
\(752\) | 598.163 | − | 345.350i | 0.0290063 | − | 0.0167468i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −13409.6 | − | 220.122i | −0.647680 | − | 0.0106318i | ||||
\(755\) | 19354.0 | 0.932934 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −16462.9 | − | 28514.6i | −0.790428 | − | 1.36906i | −0.925702 | − | 0.378253i | \(-0.876525\pi\) |
0.135275 | − | 0.990808i | \(-0.456808\pi\) | |||||||
\(758\) | 1060.45 | − | 1836.75i | 0.0508142 | − | 0.0880128i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −26579.9 | − | 15345.9i | −1.26862 | − | 0.732440i | ||||
\(761\) | −14542.3 | − | 8396.01i | −0.692718 | − | 0.399941i | 0.111911 | − | 0.993718i | \(-0.464303\pi\) |
−0.804630 | + | 0.593777i | \(0.797636\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 29409.0 | − | 50937.8i | 1.39538 | − | 2.41687i | ||||
\(764\) | 4359.23 | + | 7550.41i | 0.206429 | + | 0.357545i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −13783.5 | −0.650153 | ||||||||
\(767\) | −20567.9 | − | 337.626i | −0.968270 | − | 0.0158944i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1335.04 | − | 770.783i | 0.0626042 | − | 0.0361445i | −0.468371 | − | 0.883532i | \(-0.655159\pi\) |
0.530975 | + | 0.847387i | \(0.321826\pi\) | |||||||
\(770\) | 10296.2 | + | 17833.5i | 0.481882 | + | 0.834645i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 15019.9i | 0.700231i | ||||||||
\(773\) | 32970.6 | + | 19035.6i | 1.53411 | + | 0.885721i | 0.999166 | + | 0.0408357i | \(0.0130020\pi\) |
0.534948 | + | 0.844885i | \(0.320331\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4692.26i | 0.217485i | ||||||||
\(776\) | 9044.30 | − | 15665.2i | 0.418391 | − | 0.724674i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2203.91 | + | 1272.43i | −0.101560 | + | 0.0586358i | ||||
\(779\) | −31113.6 | −1.43102 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2882.93 | 0.132086 | ||||||||
\(782\) | 14387.6 | − | 8306.71i | 0.657930 | − | 0.379856i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5062.01 | + | 8767.66i | −0.230595 | + | 0.399401i | ||||
\(785\) | − | 8824.38i | − | 0.401217i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −17363.6 | − | 10024.9i | −0.786463 | − | 0.454065i | 0.0522528 | − | 0.998634i | \(-0.483360\pi\) |
−0.838716 | + | 0.544569i | \(0.816693\pi\) | |||||||
\(788\) | − | 19388.3i | − | 0.876498i | ||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 216.558 | + | 375.090i | 0.00975291 | + | 0.0168925i | ||||
\(791\) | −3152.33 | + | 1820.00i | −0.141699 | + | 0.0818100i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 220.136 | − | 13410.5i | 0.00985781 | − | 0.600529i | ||||
\(794\) | −17064.4 | −0.762709 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6260.93 | + | 10844.2i | 0.278785 | + | 0.482869i | ||||
\(797\) | 11200.9 | − | 19400.6i | 0.497813 | − | 0.862238i | −0.502183 | − | 0.864761i | \(-0.667470\pi\) |
0.999997 | + | 0.00252302i | \(0.000803104\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1620.08 | − | 935.355i | −0.0717327 | − | 0.0414149i | ||||
\(800\) | 2818.26 | + | 1627.12i | 0.124551 | + | 0.0719093i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −3353.01 | + | 5807.59i | −0.147630 | + | 0.255702i | ||||
\(803\) | 1059.69 | + | 1835.44i | 0.0465700 | + | 0.0806617i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 57700.7 | 2.52631 | ||||||||
\(806\) | 18357.7 | + | 11004.4i | 0.802259 | + | 0.480911i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −16402.6 | + | 9470.04i | −0.714159 | + | 0.412320i | ||||
\(809\) | −20983.2 | − | 36343.9i | −0.911903 | − | 1.57946i | −0.811373 | − | 0.584528i | \(-0.801280\pi\) |
−0.100530 | − | 0.994934i | \(-0.532054\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 13029.1i | 0.564133i | 0.959395 | + | 0.282067i | \(0.0910199\pi\) | ||||
−0.959395 | + | 0.282067i | \(0.908980\pi\) | |||||||
\(812\) | 13816.5 | + | 7976.97i | 0.597124 | + | 0.344750i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | − | 13087.4i | − | 0.563532i | ||||||
\(815\) | 11468.4 | − | 19863.9i | 0.492909 | − | 0.853744i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 17493.2 | − | 10099.7i | 0.749092 | − | 0.432489i | ||||
\(818\) | 22319.5 | 0.954014 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 13690.4 | 0.583036 | ||||||||
\(821\) | 7706.01 | − | 4449.07i | 0.327578 | − | 0.189127i | −0.327187 | − | 0.944960i | \(-0.606101\pi\) |
0.654765 | + | 0.755832i | \(0.272767\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 11361.8 | − | 19679.2i | 0.481224 | − | 0.833504i | −0.518544 | − | 0.855051i | \(-0.673526\pi\) |
0.999768 | + | 0.0215466i | \(0.00685902\pi\) | |||||||
\(824\) | − | 9567.61i | − | 0.404494i | ||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −23081.9 | − | 13326.4i | −0.972304 | − | 0.561360i | ||||
\(827\) | − | 19073.3i | − | 0.801989i | −0.916081 | − | 0.400994i | \(-0.868665\pi\) | ||
0.916081 | − | 0.400994i | \(-0.131335\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 21251.9 | + | 36809.4i | 0.890361 | + | 1.54215i | 0.839443 | + | 0.543448i | \(0.182881\pi\) |
0.0509178 | + | 0.998703i | \(0.483785\pi\) | |||||||
\(830\) | −31265.2 | + | 18051.0i | −1.30751 | + | 0.754891i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 19105.6 | − | 10616.4i | 0.796116 | − | 0.442377i | ||||
\(833\) | 27420.2 | 1.14052 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −8623.86 | − | 14937.0i | −0.357414 | − | 0.619060i | ||||
\(836\) | 5649.74 | − | 9785.65i | 0.233733 | − | 0.404837i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 12916.2 | + | 7457.19i | 0.532439 | + | 0.307404i | ||||
\(839\) | −16824.5 | − | 9713.62i | −0.692307 | − | 0.399704i | 0.112168 | − | 0.993689i | \(-0.464220\pi\) |
−0.804476 | + | 0.593985i | \(0.797554\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2379.80 | − | 4121.94i | 0.0975768 | − | 0.169008i | ||||
\(842\) | −7741.11 | − | 13408.0i | −0.316836 | − | 0.548777i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −10768.5 | −0.439180 | ||||||||
\(845\) | 22540.8 | + | 14020.0i | 0.917664 | + | 0.570770i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 13995.2 | − | 8080.15i | 0.567747 | − | 0.327789i | ||||
\(848\) | −1394.32 | − | 2415.03i | −0.0564637 | − | 0.0977979i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 2170.99i | 0.0876052i | ||||||||
\(851\) | −31758.5 | − | 18335.8i | −1.27928 | − | 0.738592i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 26851.8i | 1.07783i | 0.842361 | + | 0.538914i | \(0.181165\pi\) | ||||
−0.842361 | + | 0.538914i | \(0.818835\pi\) | |||||||
\(854\) | 8688.92 | − | 15049.7i | 0.348160 | − | 0.603031i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 30055.8 | − | 17352.7i | 1.20010 | − | 0.692878i | ||||
\(857\) | 41539.4 | 1.65573 | 0.827864 | − | 0.560929i | \(-0.189556\pi\) | ||||
0.827864 | + | 0.560929i | \(0.189556\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11936.2 | −0.474107 | −0.237054 | − | 0.971497i | \(-0.576182\pi\) | ||||
−0.237054 | + | 0.971497i | \(0.576182\pi\) | |||||||
\(860\) | −7697.22 | + | 4443.99i | −0.305201 | + | 0.176208i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −10269.2 | + | 17786.7i | −0.405765 | + | 0.702805i | ||||
\(863\) | 41128.6i | 1.62229i | 0.584848 | + | 0.811143i | \(0.301154\pi\) | ||||
−0.584848 | + | 0.811143i | \(0.698846\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 21392.0 | + | 12350.7i | 0.840866 | + | 0.485474i | ||||
\(866\) | − | 5582.22i | − | 0.219043i | ||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −12730.4 | − | 22049.7i | −0.497810 | − | 0.862232i | ||||
\(869\) | −426.595 | + | 246.295i | −0.0166528 | + | 0.00961448i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −12944.3 | + | 21593.8i | −0.503561 | + | 0.840044i | ||||
\(872\) | −47782.9 | −1.85566 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 17242.7 | + | 29865.2i | 0.667325 | + | 1.15584i | ||||
\(875\) | 18686.1 | − | 32365.4i | 0.721951 | − | 1.25046i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −5548.50 | − | 3203.43i | −0.213637 | − | 0.123343i | 0.389364 | − | 0.921084i | \(-0.372695\pi\) |
−0.603001 | + | 0.797741i | \(0.706028\pi\) | |||||||
\(878\) | 11928.1 | + | 6886.68i | 0.458489 | + | 0.264709i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 3170.87 | − | 5492.10i | 0.121466 | − | 0.210385i | ||||
\(881\) | 1469.04 | + | 2544.45i | 0.0561783 | + | 0.0973037i | 0.892747 | − | 0.450559i | \(-0.148775\pi\) |
−0.836569 | + | 0.547862i | \(0.815442\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3022.06 | −0.115176 | −0.0575881 | − | 0.998340i | \(-0.518341\pi\) | ||||
−0.0575881 | + | 0.998340i | \(0.518341\pi\) | |||||||
\(884\) | −7798.16 | − | 4674.58i | −0.296697 | − | 0.177854i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −15308.8 | + | 8838.51i | −0.580483 | + | 0.335142i | ||||
\(887\) | −5030.22 | − | 8712.59i | −0.190415 | − | 0.329809i | 0.754973 | − | 0.655756i | \(-0.227650\pi\) |
−0.945388 | + | 0.325948i | \(0.894317\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | − | 68681.5i | − | 2.59112i | ||||||
\(890\) | 7156.74 | + | 4131.94i | 0.269544 | + | 0.155621i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 3514.24i | 0.131912i | ||||||||
\(893\) | 1941.57 | − | 3362.89i | 0.0727570 | − | 0.126019i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −40700.9 | + | 23498.7i | −1.52009 | + | 0.877624i | ||||
\(896\) | −8571.24 | −0.319582 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −13320.5 | −0.494999 | ||||||||
\(899\) | 27129.5 | − | 15663.2i | 1.00647 | − | 0.581088i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3776.42 | + | 6540.95i | −0.139635 | + | 0.241854i | ||||
\(902\) | − | 16958.9i | − | 0.626020i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2560.91 | + | 1478.54i | 0.0942197 | + | 0.0543978i | ||||
\(905\) | 29928.4i | 1.09929i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −21579.3 | − | 37376.5i | −0.789999 | − | 1.36832i | −0.925967 | − | 0.377606i | \(-0.876748\pi\) |
0.135967 | − | 0.990713i | \(-0.456586\pi\) | |||||||
\(908\) | −4431.76 | + | 2558.68i | −0.161975 | + | 0.0935163i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 16705.7 | + | 30064.1i | 0.608558 | + | 1.09518i | ||||
\(911\) | 32665.9 | 1.18800 | 0.594001 | − | 0.804464i | \(-0.297547\pi\) | ||||
0.594001 | + | 0.804464i | \(0.297547\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −20529.7 | − | 35558.4i | −0.744176 | − | 1.28895i | ||||
\(914\) | −1583.99 | + | 2743.55i | −0.0573235 | + | 0.0992873i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −546.581 | − | 315.568i | −0.0197156 | − | 0.0113828i | ||||
\(917\) | −37194.4 | − | 21474.2i | −1.33944 | − | 0.773327i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9494.97 | + | 16445.8i | −0.340816 | + | 0.590311i | −0.984585 | − | 0.174909i | \(-0.944037\pi\) |
0.643768 | + | 0.765221i | \(0.277370\pi\) | |||||||
\(920\) | −23437.6 | − | 40595.2i | −0.839909 | − | 1.45476i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 15860.6 | 0.566529 | ||||||||
\(923\) | 4814.47 | + | 79.0305i | 0.171690 | + | 0.00281833i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4150.10 | − | 2396.06i | 0.147518 | − | 0.0851698i | ||||
\(926\) | 2046.86 | + | 3545.27i | 0.0726393 | + | 0.125815i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | − | 21726.0i | − | 0.768525i | ||||||
\(929\) | 4846.98 | + | 2798.40i | 0.171178 | + | 0.0988295i | 0.583141 | − | 0.812371i | \(-0.301823\pi\) |
−0.411963 | + | 0.911200i | \(0.635157\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 56917.6i | 2.00365i | ||||||||
\(932\) | 8124.55 | − | 14072.1i | 0.285546 | − | 0.494579i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 33028.1 | − | 19068.8i | 1.15708 | − | 0.668040i | ||||
\(935\) | −17176.1 | −0.600770 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 40294.4 | 1.40487 | 0.702433 | − | 0.711750i | \(-0.252097\pi\) | ||||
0.702433 | + | 0.711750i | \(0.252097\pi\) | |||||||
\(938\) | −28249.9 | + | 16310.1i | −0.983360 | + | 0.567743i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −854.314 | + | 1479.72i | −0.0296432 | + | 0.0513436i | ||||
\(941\) | 43648.8i | 1.51213i | 0.654499 | + | 0.756063i | \(0.272880\pi\) | ||||
−0.654499 | + | 0.756063i | \(0.727120\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −41153.1 | − | 23759.8i | −1.42113 | − | 0.820492i | ||||
\(944\) | 8208.10i | 0.282999i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 5504.98 | + | 9534.90i | 0.189199 | + | 0.327702i | ||||
\(947\) | 9081.62 | − | 5243.28i | 0.311629 | − | 0.179919i | −0.336026 | − | 0.941853i | \(-0.609083\pi\) |
0.647655 | + | 0.761933i | \(0.275750\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1719.36 | + | 3094.22i | 0.0588122 | + | 0.105840i | ||||
\(950\) | −4506.44 | −0.153903 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −18195.5 | − | 31515.5i | −0.619452 | − | 1.07292i | ||||
\(953\) | −16529.4 | + | 28629.7i | −0.561846 | + | 0.973145i | 0.435490 | + | 0.900194i | \(0.356575\pi\) |
−0.997335 | + | 0.0729517i | \(0.976758\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 23823.9 | + | 13754.7i | 0.807249 | + | 0.466065i | ||||
\(956\) | 8260.93 | + | 4769.45i | 0.279475 | + | 0.161355i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −9509.73 | + | 16471.3i | −0.320715 | + | 0.555495i | ||||
\(959\) | 10942.1 | + | 18952.3i | 0.368445 | + | 0.638166i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −20202.8 | −0.678152 | ||||||||
\(962\) | 358.769 | − | 21855.9i | 0.0120241 | − | 0.732497i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 9674.74 | − | 5585.71i | 0.323239 | − | 0.186622i | ||||
\(965\) | 23696.2 | + | 41043.1i | 0.790476 | + | 1.36914i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 53634.9i | 1.78364i | 0.452389 | + | 0.891821i | \(0.350572\pi\) | ||||
−0.452389 | + | 0.891821i | \(0.649428\pi\) | |||||||
\(968\) | −11369.5 | − | 6564.21i | −0.377511 | − | 0.217956i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | − | 18475.8i | − | 0.611569i | ||||||
\(971\) | −2043.40 | + | 3539.27i | −0.0675344 | + | 0.116973i | −0.897815 | − | 0.440372i | \(-0.854847\pi\) |
0.830281 | + | 0.557345i | \(0.188180\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −38762.3 | + | 22379.4i | −1.27715 | + | 0.737360i | ||||
\(974\) | 7223.00 | 0.237618 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −5351.76 | −0.175518 | ||||||||
\(977\) | 12454.3 | − | 7190.48i | 0.407827 | − | 0.235459i | −0.282028 | − | 0.959406i | \(-0.591007\pi\) |
0.689856 | + | 0.723947i | \(0.257674\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −4699.32 | + | 8139.46i | −0.153413 | + | 0.265718i | ||||
\(980\) | − | 25044.5i | − | 0.816343i | ||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 5945.76 | + | 3432.79i | 0.193215 | + | 0.111553i | ||||
\(983\) | 12916.5i | 0.419099i | 0.977798 | + | 0.209549i | \(0.0671997\pi\) | ||||
−0.977798 | + | 0.209549i | \(0.932800\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −30588.1 | − | 52980.1i | −0.989460 | − | 1.71379i | ||||
\(986\) | 12552.2 | − | 7247.00i | 0.405418 | − | 0.234068i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 9703.27 | − | 16187.0i | 0.312451 | − | 0.521233i | ||||
\(989\) | 30850.3 | 0.991893 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 2919.49 | + | 5056.71i | 0.0935829 | + | 0.162090i | 0.909016 | − | 0.416761i | \(-0.136835\pi\) |
−0.815433 | + | 0.578851i | \(0.803501\pi\) | |||||||
\(992\) | −17336.2 | + | 30027.2i | −0.554865 | + | 0.961055i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 5402.95 | + | 3119.40i | 0.172406 | + | 0.0995385i | ||||
\(995\) | 34217.0 | + | 19755.2i | 1.09020 | + | 0.629428i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −22145.1 | + | 38356.4i | −0.703452 | + | 1.21841i | 0.263796 | + | 0.964579i | \(0.415026\pi\) |
−0.967247 | + | 0.253835i | \(0.918308\pi\) | |||||||
\(998\) | 4112.50 | + | 7123.05i | 0.130440 | + | 0.225928i | ||||
\(999\) | 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 | 117.4.q.e.10.4 | 10 | ||
3.2 | odd | 2 | 39.4.j.c.10.2 | yes | 10 | ||
12.11 | even | 2 | 624.4.bv.h.49.2 | 10 | |||
13.2 | odd | 12 | 1521.4.a.bk.1.7 | 10 | |||
13.4 | even | 6 | inner | 117.4.q.e.82.4 | 10 | ||
13.11 | odd | 12 | 1521.4.a.bk.1.4 | 10 | |||
39.2 | even | 12 | 507.4.a.r.1.4 | 10 | |||
39.11 | even | 12 | 507.4.a.r.1.7 | 10 | |||
39.17 | odd | 6 | 39.4.j.c.4.2 | ✓ | 10 | ||
39.23 | odd | 6 | 507.4.b.i.337.7 | 10 | |||
39.29 | odd | 6 | 507.4.b.i.337.4 | 10 | |||
156.95 | even | 6 | 624.4.bv.h.433.4 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
39.4.j.c.4.2 | ✓ | 10 | 39.17 | odd | 6 | ||
39.4.j.c.10.2 | yes | 10 | 3.2 | odd | 2 | ||
117.4.q.e.10.4 | 10 | 1.1 | even | 1 | trivial | ||
117.4.q.e.82.4 | 10 | 13.4 | even | 6 | inner | ||
507.4.a.r.1.4 | 10 | 39.2 | even | 12 | |||
507.4.a.r.1.7 | 10 | 39.11 | even | 12 | |||
507.4.b.i.337.4 | 10 | 39.29 | odd | 6 | |||
507.4.b.i.337.7 | 10 | 39.23 | odd | 6 | |||
624.4.bv.h.49.2 | 10 | 12.11 | even | 2 | |||
624.4.bv.h.433.4 | 10 | 156.95 | even | 6 | |||
1521.4.a.bk.1.4 | 10 | 13.11 | odd | 12 | |||
1521.4.a.bk.1.7 | 10 | 13.2 | odd | 12 |