Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(119,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.119");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(38\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 119.37 | ||
Character | \(\chi\) | \(=\) | 177.119 |
Dual form | 177.3.b.a.119.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.62092i | 1.81046i | 0.424924 | + | 0.905229i | \(0.360301\pi\) | ||||
−0.424924 | + | 0.905229i | \(0.639699\pi\) | |||||||
\(3\) | −1.98632 | − | 2.24823i | −0.662106 | − | 0.749411i | ||||
\(4\) | −9.11103 | −2.27776 | ||||||||
\(5\) | − | 2.81281i | − | 0.562563i | −0.959625 | − | 0.281281i | \(-0.909241\pi\) | ||
0.959625 | − | 0.281281i | \(-0.0907595\pi\) | |||||||
\(6\) | 8.14066 | − | 7.19229i | 1.35678 | − | 1.19871i | ||||
\(7\) | 8.99888 | 1.28555 | 0.642777 | − | 0.766053i | \(-0.277782\pi\) | ||||
0.642777 | + | 0.766053i | \(0.277782\pi\) | |||||||
\(8\) | − | 18.5066i | − | 2.31333i | ||||||
\(9\) | −1.10909 | + | 8.93140i | −0.123232 | + | 0.992378i | ||||
\(10\) | 10.1850 | 1.01850 | ||||||||
\(11\) | − | 19.0108i | − | 1.72825i | −0.503273 | − | 0.864127i | \(-0.667871\pi\) | ||
0.503273 | − | 0.864127i | \(-0.332129\pi\) | |||||||
\(12\) | 18.0974 | + | 20.4837i | 1.50812 | + | 1.70698i | ||||
\(13\) | 8.47140 | 0.651646 | 0.325823 | − | 0.945431i | \(-0.394359\pi\) | ||||
0.325823 | + | 0.945431i | \(0.394359\pi\) | |||||||
\(14\) | 32.5842i | 2.32744i | ||||||||
\(15\) | −6.32386 | + | 5.58714i | −0.421591 | + | 0.372476i | ||||
\(16\) | 30.5668 | 1.91042 | ||||||||
\(17\) | 19.9551i | 1.17383i | 0.809648 | + | 0.586916i | \(0.199658\pi\) | ||||
−0.809648 | + | 0.586916i | \(0.800342\pi\) | |||||||
\(18\) | −32.3399 | − | 4.01593i | −1.79666 | − | 0.223107i | ||||
\(19\) | 16.3132 | 0.858591 | 0.429295 | − | 0.903164i | \(-0.358762\pi\) | ||||
0.429295 | + | 0.903164i | \(0.358762\pi\) | |||||||
\(20\) | 25.6276i | 1.28138i | ||||||||
\(21\) | −17.8746 | − | 20.2316i | −0.851173 | − | 0.963409i | ||||
\(22\) | 68.8365 | 3.12893 | ||||||||
\(23\) | − | 10.3343i | − | 0.449319i | −0.974437 | − | 0.224659i | \(-0.927873\pi\) | ||
0.974437 | − | 0.224659i | \(-0.0721269\pi\) | |||||||
\(24\) | −41.6072 | + | 36.7600i | −1.73363 | + | 1.53167i | ||||
\(25\) | 17.0881 | 0.683523 | ||||||||
\(26\) | 30.6742i | 1.17978i | ||||||||
\(27\) | 22.2829 | − | 15.2471i | 0.825291 | − | 0.564707i | ||||
\(28\) | −81.9891 | −2.92818 | ||||||||
\(29\) | − | 47.7591i | − | 1.64687i | −0.567413 | − | 0.823434i | \(-0.692056\pi\) | ||
0.567413 | − | 0.823434i | \(-0.307944\pi\) | |||||||
\(30\) | −20.2306 | − | 22.8982i | −0.674352 | − | 0.763272i | ||||
\(31\) | 4.05578 | 0.130832 | 0.0654158 | − | 0.997858i | \(-0.479163\pi\) | ||||
0.0654158 | + | 0.997858i | \(0.479163\pi\) | |||||||
\(32\) | 36.6533i | 1.14542i | ||||||||
\(33\) | −42.7407 | + | 37.7615i | −1.29517 | + | 1.14429i | ||||
\(34\) | −72.2559 | −2.12517 | ||||||||
\(35\) | − | 25.3122i | − | 0.723206i | ||||||
\(36\) | 10.1050 | − | 81.3743i | 0.280694 | − | 2.26040i | ||||
\(37\) | −13.8783 | −0.375088 | −0.187544 | − | 0.982256i | \(-0.560053\pi\) | ||||
−0.187544 | + | 0.982256i | \(0.560053\pi\) | |||||||
\(38\) | 59.0688i | 1.55444i | ||||||||
\(39\) | −16.8269 | − | 19.0457i | −0.431458 | − | 0.488350i | ||||
\(40\) | −52.0557 | −1.30139 | ||||||||
\(41\) | − | 55.0214i | − | 1.34199i | −0.741464 | − | 0.670993i | \(-0.765868\pi\) | ||
0.741464 | − | 0.670993i | \(-0.234132\pi\) | |||||||
\(42\) | 73.2568 | − | 64.7226i | 1.74421 | − | 1.54101i | ||||
\(43\) | 44.9435 | 1.04520 | 0.522599 | − | 0.852579i | \(-0.324963\pi\) | ||||
0.522599 | + | 0.852579i | \(0.324963\pi\) | |||||||
\(44\) | 173.208i | 3.93655i | ||||||||
\(45\) | 25.1224 | + | 3.11967i | 0.558275 | + | 0.0693260i | ||||
\(46\) | 37.4197 | 0.813473 | ||||||||
\(47\) | − | 2.46701i | − | 0.0524895i | −0.999656 | − | 0.0262448i | \(-0.991645\pi\) | ||
0.999656 | − | 0.0262448i | \(-0.00835493\pi\) | |||||||
\(48\) | −60.7153 | − | 68.7212i | −1.26490 | − | 1.43169i | ||||
\(49\) | 31.9799 | 0.652652 | ||||||||
\(50\) | 61.8745i | 1.23749i | ||||||||
\(51\) | 44.8638 | − | 39.6372i | 0.879682 | − | 0.777200i | ||||
\(52\) | −77.1832 | −1.48429 | ||||||||
\(53\) | 74.2215i | 1.40040i | 0.713944 | + | 0.700202i | \(0.246907\pi\) | ||||
−0.713944 | + | 0.700202i | \(0.753093\pi\) | |||||||
\(54\) | 55.2084 | + | 80.6844i | 1.02238 | + | 1.49416i | ||||
\(55\) | −53.4739 | −0.972252 | ||||||||
\(56\) | − | 166.539i | − | 2.97391i | ||||||
\(57\) | −32.4032 | − | 36.6759i | −0.568478 | − | 0.643437i | ||||
\(58\) | 172.932 | 2.98158 | ||||||||
\(59\) | − | 7.68115i | − | 0.130189i | ||||||
\(60\) | 57.6169 | − | 50.9046i | 0.960282 | − | 0.848410i | ||||
\(61\) | 32.9933 | 0.540873 | 0.270437 | − | 0.962738i | \(-0.412832\pi\) | ||||
0.270437 | + | 0.962738i | \(0.412832\pi\) | |||||||
\(62\) | 14.6856i | 0.236865i | ||||||||
\(63\) | −9.98059 | + | 80.3726i | −0.158422 | + | 1.27576i | ||||
\(64\) | −10.4513 | −0.163302 | ||||||||
\(65\) | − | 23.8285i | − | 0.366592i | ||||||
\(66\) | −136.731 | − | 154.760i | −2.07168 | − | 2.34486i | ||||
\(67\) | −51.8358 | −0.773669 | −0.386834 | − | 0.922149i | \(-0.626431\pi\) | ||||
−0.386834 | + | 0.922149i | \(0.626431\pi\) | |||||||
\(68\) | − | 181.812i | − | 2.67370i | ||||||
\(69\) | −23.2340 | + | 20.5273i | −0.336724 | + | 0.297496i | ||||
\(70\) | 91.6533 | 1.30933 | ||||||||
\(71\) | 95.1596i | 1.34028i | 0.742236 | + | 0.670138i | \(0.233765\pi\) | ||||
−0.742236 | + | 0.670138i | \(0.766235\pi\) | |||||||
\(72\) | 165.290 | + | 20.5256i | 2.29569 | + | 0.285077i | ||||
\(73\) | −123.796 | −1.69583 | −0.847915 | − | 0.530131i | \(-0.822143\pi\) | ||||
−0.847915 | + | 0.530131i | \(0.822143\pi\) | |||||||
\(74\) | − | 50.2521i | − | 0.679082i | ||||||
\(75\) | −33.9423 | − | 38.4179i | −0.452564 | − | 0.512239i | ||||
\(76\) | −148.630 | −1.95566 | ||||||||
\(77\) | − | 171.076i | − | 2.22177i | ||||||
\(78\) | 68.9627 | − | 60.9287i | 0.884138 | − | 0.781137i | ||||
\(79\) | −138.482 | −1.75293 | −0.876466 | − | 0.481463i | \(-0.840106\pi\) | ||||
−0.876466 | + | 0.481463i | \(0.840106\pi\) | |||||||
\(80\) | − | 85.9787i | − | 1.07473i | ||||||
\(81\) | −78.5398 | − | 19.8115i | −0.969628 | − | 0.244586i | ||||
\(82\) | 199.228 | 2.42961 | ||||||||
\(83\) | − | 27.4328i | − | 0.330516i | −0.986250 | − | 0.165258i | \(-0.947154\pi\) | ||
0.986250 | − | 0.165258i | \(-0.0528457\pi\) | |||||||
\(84\) | 162.856 | + | 184.331i | 1.93877 | + | 2.19441i | ||||
\(85\) | 56.1301 | 0.660354 | ||||||||
\(86\) | 162.737i | 1.89229i | ||||||||
\(87\) | −107.374 | + | 94.8648i | −1.23418 | + | 1.09040i | ||||
\(88\) | −351.826 | −3.99802 | ||||||||
\(89\) | 89.1780i | 1.00200i | 0.865447 | + | 0.501000i | \(0.167034\pi\) | ||||
−0.865447 | + | 0.501000i | \(0.832966\pi\) | |||||||
\(90\) | −11.2961 | + | 90.9660i | −0.125512 | + | 1.01073i | ||||
\(91\) | 76.2331 | 0.837727 | ||||||||
\(92\) | 94.1564i | 1.02344i | ||||||||
\(93\) | −8.05606 | − | 9.11833i | −0.0866244 | − | 0.0980466i | ||||
\(94\) | 8.93283 | 0.0950301 | ||||||||
\(95\) | − | 45.8861i | − | 0.483011i | ||||||
\(96\) | 82.4051 | − | 72.8050i | 0.858386 | − | 0.758386i | ||||
\(97\) | 17.0787 | 0.176069 | 0.0880345 | − | 0.996117i | \(-0.471941\pi\) | ||||
0.0880345 | + | 0.996117i | \(0.471941\pi\) | |||||||
\(98\) | 115.797i | 1.18160i | ||||||||
\(99\) | 169.793 | + | 21.0847i | 1.71508 | + | 0.212977i | ||||
\(100\) | −155.690 | −1.55690 | ||||||||
\(101\) | − | 67.1513i | − | 0.664865i | −0.943127 | − | 0.332432i | \(-0.892131\pi\) | ||
0.943127 | − | 0.332432i | \(-0.107869\pi\) | |||||||
\(102\) | 143.523 | + | 162.448i | 1.40709 | + | 1.59263i | ||||
\(103\) | 167.112 | 1.62245 | 0.811225 | − | 0.584734i | \(-0.198801\pi\) | ||||
0.811225 | + | 0.584734i | \(0.198801\pi\) | |||||||
\(104\) | − | 156.777i | − | 1.50747i | ||||||
\(105\) | −56.9077 | + | 50.2780i | −0.541978 | + | 0.478838i | ||||
\(106\) | −268.750 | −2.53537 | ||||||||
\(107\) | 41.9211i | 0.391786i | 0.980625 | + | 0.195893i | \(0.0627605\pi\) | ||||
−0.980625 | + | 0.195893i | \(0.937239\pi\) | |||||||
\(108\) | −203.020 | + | 138.917i | −1.87981 | + | 1.28627i | ||||
\(109\) | −14.5692 | −0.133662 | −0.0668311 | − | 0.997764i | \(-0.521289\pi\) | ||||
−0.0668311 | + | 0.997764i | \(0.521289\pi\) | |||||||
\(110\) | − | 193.624i | − | 1.76022i | ||||||
\(111\) | 27.5666 | + | 31.2016i | 0.248348 | + | 0.281095i | ||||
\(112\) | 275.067 | 2.45596 | ||||||||
\(113\) | − | 0.786761i | − | 0.00696249i | −0.999994 | − | 0.00348124i | \(-0.998892\pi\) | ||
0.999994 | − | 0.00348124i | \(-0.00110812\pi\) | |||||||
\(114\) | 132.800 | − | 117.329i | 1.16492 | − | 1.02921i | ||||
\(115\) | −29.0686 | −0.252770 | ||||||||
\(116\) | 435.135i | 3.75117i | ||||||||
\(117\) | −9.39556 | + | 75.6614i | −0.0803039 | + | 0.646679i | ||||
\(118\) | 27.8128 | 0.235702 | ||||||||
\(119\) | 179.574i | 1.50902i | ||||||||
\(120\) | 103.399 | + | 117.033i | 0.861659 | + | 0.975277i | ||||
\(121\) | −240.411 | −1.98686 | ||||||||
\(122\) | 119.466i | 0.979228i | ||||||||
\(123\) | −123.701 | + | 109.290i | −1.00570 | + | 0.888536i | ||||
\(124\) | −36.9524 | −0.298003 | ||||||||
\(125\) | − | 118.386i | − | 0.947088i | ||||||
\(126\) | −291.023 | − | 36.1389i | −2.30970 | − | 0.286817i | ||||
\(127\) | 189.829 | 1.49472 | 0.747358 | − | 0.664421i | \(-0.231322\pi\) | ||||
0.747358 | + | 0.664421i | \(0.231322\pi\) | |||||||
\(128\) | 108.770i | 0.849764i | ||||||||
\(129\) | −89.2720 | − | 101.043i | −0.692031 | − | 0.783282i | ||||
\(130\) | 86.2809 | 0.663699 | ||||||||
\(131\) | 126.252i | 0.963753i | 0.876239 | + | 0.481876i | \(0.160045\pi\) | ||||
−0.876239 | + | 0.481876i | \(0.839955\pi\) | |||||||
\(132\) | 389.412 | − | 344.046i | 2.95009 | − | 2.60641i | ||||
\(133\) | 146.801 | 1.10377 | ||||||||
\(134\) | − | 187.693i | − | 1.40069i | ||||||
\(135\) | −42.8872 | − | 62.6776i | −0.317683 | − | 0.464278i | ||||
\(136\) | 369.302 | 2.71546 | ||||||||
\(137\) | − | 74.7474i | − | 0.545601i | −0.962071 | − | 0.272801i | \(-0.912050\pi\) | ||
0.962071 | − | 0.272801i | \(-0.0879500\pi\) | |||||||
\(138\) | −74.3275 | − | 84.1283i | −0.538605 | − | 0.609625i | ||||
\(139\) | −80.8582 | −0.581714 | −0.290857 | − | 0.956767i | \(-0.593940\pi\) | ||||
−0.290857 | + | 0.956767i | \(0.593940\pi\) | |||||||
\(140\) | 230.620i | 1.64729i | ||||||||
\(141\) | −5.54641 | + | 4.90026i | −0.0393362 | + | 0.0347536i | ||||
\(142\) | −344.565 | −2.42651 | ||||||||
\(143\) | − | 161.048i | − | 1.12621i | ||||||
\(144\) | −33.9014 | + | 273.004i | −0.235426 | + | 1.89586i | ||||
\(145\) | −134.338 | −0.926466 | ||||||||
\(146\) | − | 448.254i | − | 3.07023i | ||||||
\(147\) | −63.5223 | − | 71.8983i | −0.432124 | − | 0.489104i | ||||
\(148\) | 126.445 | 0.854361 | ||||||||
\(149\) | 175.759i | 1.17959i | 0.807552 | + | 0.589797i | \(0.200792\pi\) | ||||
−0.807552 | + | 0.589797i | \(0.799208\pi\) | |||||||
\(150\) | 139.108 | − | 122.902i | 0.927388 | − | 0.819349i | ||||
\(151\) | 195.888 | 1.29727 | 0.648635 | − | 0.761100i | \(-0.275340\pi\) | ||||
0.648635 | + | 0.761100i | \(0.275340\pi\) | |||||||
\(152\) | − | 301.903i | − | 1.98620i | ||||||
\(153\) | −178.227 | − | 22.1321i | −1.16488 | − | 0.144654i | ||||
\(154\) | 619.452 | 4.02241 | ||||||||
\(155\) | − | 11.4082i | − | 0.0736010i | ||||||
\(156\) | 153.310 | + | 173.526i | 0.982758 | + | 1.11234i | ||||
\(157\) | −137.817 | −0.877813 | −0.438907 | − | 0.898533i | \(-0.644634\pi\) | ||||
−0.438907 | + | 0.898533i | \(0.644634\pi\) | |||||||
\(158\) | − | 501.431i | − | 3.17361i | ||||||
\(159\) | 166.867 | − | 147.427i | 1.04948 | − | 0.927216i | ||||
\(160\) | 103.099 | 0.644368 | ||||||||
\(161\) | − | 92.9975i | − | 0.577624i | ||||||
\(162\) | 71.7358 | − | 284.386i | 0.442813 | − | 1.75547i | ||||
\(163\) | 265.663 | 1.62984 | 0.814919 | − | 0.579576i | \(-0.196782\pi\) | ||||
0.814919 | + | 0.579576i | \(0.196782\pi\) | |||||||
\(164\) | 501.302i | 3.05672i | ||||||||
\(165\) | 106.216 | + | 120.222i | 0.643734 | + | 0.728616i | ||||
\(166\) | 99.3320 | 0.598386 | ||||||||
\(167\) | 114.909i | 0.688078i | 0.938955 | + | 0.344039i | \(0.111795\pi\) | ||||
−0.938955 | + | 0.344039i | \(0.888205\pi\) | |||||||
\(168\) | −374.418 | + | 330.799i | −2.22868 | + | 1.96904i | ||||
\(169\) | −97.2355 | −0.575358 | ||||||||
\(170\) | 203.242i | 1.19554i | ||||||||
\(171\) | −18.0929 | + | 145.700i | −0.105806 | + | 0.852047i | ||||
\(172\) | −409.482 | −2.38071 | ||||||||
\(173\) | − | 67.7045i | − | 0.391356i | −0.980668 | − | 0.195678i | \(-0.937309\pi\) | ||
0.980668 | − | 0.195678i | \(-0.0626907\pi\) | |||||||
\(174\) | −343.497 | − | 388.791i | −1.97412 | − | 2.23443i | ||||
\(175\) | 153.774 | 0.878706 | ||||||||
\(176\) | − | 581.099i | − | 3.30170i | ||||||
\(177\) | −17.2690 | + | 15.2572i | −0.0975649 | + | 0.0861988i | ||||
\(178\) | −322.906 | −1.81408 | ||||||||
\(179\) | 210.640i | 1.17676i | 0.808585 | + | 0.588380i | \(0.200234\pi\) | ||||
−0.808585 | + | 0.588380i | \(0.799766\pi\) | |||||||
\(180\) | −228.891 | − | 28.4234i | −1.27162 | − | 0.157908i | ||||
\(181\) | −91.8129 | −0.507254 | −0.253627 | − | 0.967302i | \(-0.581624\pi\) | ||||
−0.253627 | + | 0.967302i | \(0.581624\pi\) | |||||||
\(182\) | 276.034i | 1.51667i | ||||||||
\(183\) | −65.5351 | − | 74.1765i | −0.358115 | − | 0.405336i | ||||
\(184\) | −191.254 | −1.03942 | ||||||||
\(185\) | 39.0370i | 0.211011i | ||||||||
\(186\) | 33.0167 | − | 29.1703i | 0.177509 | − | 0.156830i | ||||
\(187\) | 379.363 | 2.02868 | ||||||||
\(188\) | 22.4770i | 0.119558i | ||||||||
\(189\) | 200.521 | − | 137.207i | 1.06096 | − | 0.725962i | ||||
\(190\) | 166.150 | 0.874472 | ||||||||
\(191\) | 59.8897i | 0.313559i | 0.987634 | + | 0.156779i | \(0.0501111\pi\) | ||||
−0.987634 | + | 0.156779i | \(0.949889\pi\) | |||||||
\(192\) | 20.7596 | + | 23.4970i | 0.108123 | + | 0.122380i | ||||
\(193\) | −29.7862 | −0.154333 | −0.0771664 | − | 0.997018i | \(-0.524587\pi\) | ||||
−0.0771664 | + | 0.997018i | \(0.524587\pi\) | |||||||
\(194\) | 61.8405i | 0.318765i | ||||||||
\(195\) | −53.5719 | + | 47.3309i | −0.274728 | + | 0.242722i | ||||
\(196\) | −291.370 | −1.48658 | ||||||||
\(197\) | 179.374i | 0.910528i | 0.890357 | + | 0.455264i | \(0.150455\pi\) | ||||
−0.890357 | + | 0.455264i | \(0.849545\pi\) | |||||||
\(198\) | −76.3461 | + | 614.807i | −0.385586 | + | 3.10508i | ||||
\(199\) | 63.2008 | 0.317592 | 0.158796 | − | 0.987311i | \(-0.449239\pi\) | ||||
0.158796 | + | 0.987311i | \(0.449239\pi\) | |||||||
\(200\) | − | 316.242i | − | 1.58121i | ||||||
\(201\) | 102.962 | + | 116.539i | 0.512250 | + | 0.579796i | ||||
\(202\) | 243.149 | 1.20371 | ||||||||
\(203\) | − | 429.779i | − | 2.11714i | ||||||
\(204\) | −408.755 | + | 361.136i | −2.00370 | + | 1.77027i | ||||
\(205\) | −154.765 | −0.754952 | ||||||||
\(206\) | 605.100i | 2.93738i | ||||||||
\(207\) | 92.3001 | + | 11.4617i | 0.445894 | + | 0.0553707i | ||||
\(208\) | 258.943 | 1.24492 | ||||||||
\(209\) | − | 310.128i | − | 1.48386i | ||||||
\(210\) | −182.053 | − | 206.058i | −0.866917 | − | 0.981228i | ||||
\(211\) | −100.345 | −0.475567 | −0.237783 | − | 0.971318i | \(-0.576421\pi\) | ||||
−0.237783 | + | 0.971318i | \(0.576421\pi\) | |||||||
\(212\) | − | 676.234i | − | 3.18978i | ||||||
\(213\) | 213.941 | − | 189.017i | 1.00442 | − | 0.887405i | ||||
\(214\) | −151.793 | −0.709312 | ||||||||
\(215\) | − | 126.418i | − | 0.587990i | ||||||
\(216\) | −282.172 | − | 412.381i | −1.30635 | − | 1.90917i | ||||
\(217\) | 36.4975 | 0.168191 | ||||||||
\(218\) | − | 52.7538i | − | 0.241990i | ||||||
\(219\) | 245.897 | + | 278.321i | 1.12282 | + | 1.27087i | ||||
\(220\) | 487.202 | 2.21456 | ||||||||
\(221\) | 169.048i | 0.764922i | ||||||||
\(222\) | −112.978 | + | 99.8165i | −0.508911 | + | 0.449624i | ||||
\(223\) | −207.548 | −0.930710 | −0.465355 | − | 0.885124i | \(-0.654073\pi\) | ||||
−0.465355 | + | 0.885124i | \(0.654073\pi\) | |||||||
\(224\) | 329.839i | 1.47249i | ||||||||
\(225\) | −18.9523 | + | 152.620i | −0.0842322 | + | 0.678313i | ||||
\(226\) | 2.84880 | 0.0126053 | ||||||||
\(227\) | − | 405.735i | − | 1.78738i | −0.448687 | − | 0.893689i | \(-0.648108\pi\) | ||
0.448687 | − | 0.893689i | \(-0.351892\pi\) | |||||||
\(228\) | 295.227 | + | 334.155i | 1.29486 | + | 1.46559i | ||||
\(229\) | −178.686 | −0.780288 | −0.390144 | − | 0.920754i | \(-0.627575\pi\) | ||||
−0.390144 | + | 0.920754i | \(0.627575\pi\) | |||||||
\(230\) | − | 105.255i | − | 0.457630i | ||||||
\(231\) | −384.619 | + | 339.811i | −1.66502 | + | 1.47104i | ||||
\(232\) | −883.860 | −3.80974 | ||||||||
\(233\) | − | 88.5617i | − | 0.380093i | −0.981775 | − | 0.190046i | \(-0.939136\pi\) | ||
0.981775 | − | 0.190046i | \(-0.0608639\pi\) | |||||||
\(234\) | −273.964 | − | 34.0205i | −1.17078 | − | 0.145387i | ||||
\(235\) | −6.93924 | −0.0295287 | ||||||||
\(236\) | 69.9832i | 0.296539i | ||||||||
\(237\) | 275.068 | + | 311.339i | 1.16063 | + | 1.31367i | ||||
\(238\) | −650.222 | −2.73203 | ||||||||
\(239\) | 204.857i | 0.857144i | 0.903508 | + | 0.428572i | \(0.140983\pi\) | ||||
−0.903508 | + | 0.428572i | \(0.859017\pi\) | |||||||
\(240\) | −193.300 | + | 170.781i | −0.805417 | + | 0.711587i | ||||
\(241\) | 255.665 | 1.06085 | 0.530425 | − | 0.847732i | \(-0.322032\pi\) | ||||
0.530425 | + | 0.847732i | \(0.322032\pi\) | |||||||
\(242\) | − | 870.507i | − | 3.59713i | ||||||
\(243\) | 111.464 | + | 215.928i | 0.458700 | + | 0.888591i | ||||
\(244\) | −300.603 | −1.23198 | ||||||||
\(245\) | − | 89.9536i | − | 0.367158i | ||||||
\(246\) | −395.730 | − | 447.911i | −1.60866 | − | 1.82078i | ||||
\(247\) | 138.196 | 0.559497 | ||||||||
\(248\) | − | 75.0588i | − | 0.302656i | ||||||
\(249\) | −61.6754 | + | 54.4903i | −0.247692 | + | 0.218837i | ||||
\(250\) | 428.666 | 1.71466 | ||||||||
\(251\) | 208.746i | 0.831659i | 0.909443 | + | 0.415830i | \(0.136509\pi\) | ||||
−0.909443 | + | 0.415830i | \(0.863491\pi\) | |||||||
\(252\) | 90.9335 | − | 732.278i | 0.360847 | − | 2.90586i | ||||
\(253\) | −196.464 | −0.776537 | ||||||||
\(254\) | 687.355i | 2.70612i | ||||||||
\(255\) | −111.492 | − | 126.193i | −0.437224 | − | 0.494876i | ||||
\(256\) | −435.652 | −1.70176 | ||||||||
\(257\) | 111.276i | 0.432981i | 0.976285 | + | 0.216491i | \(0.0694611\pi\) | ||||
−0.976285 | + | 0.216491i | \(0.930539\pi\) | |||||||
\(258\) | 365.870 | − | 323.247i | 1.41810 | − | 1.25289i | ||||
\(259\) | −124.889 | −0.482197 | ||||||||
\(260\) | 217.102i | 0.835007i | ||||||||
\(261\) | 426.556 | + | 52.9693i | 1.63431 | + | 0.202948i | ||||
\(262\) | −457.146 | −1.74483 | ||||||||
\(263\) | 58.7836i | 0.223512i | 0.993736 | + | 0.111756i | \(0.0356475\pi\) | ||||
−0.993736 | + | 0.111756i | \(0.964353\pi\) | |||||||
\(264\) | 698.837 | + | 790.986i | 2.64711 | + | 2.99616i | ||||
\(265\) | 208.771 | 0.787816 | ||||||||
\(266\) | 531.554i | 1.99832i | ||||||||
\(267\) | 200.493 | − | 177.136i | 0.750910 | − | 0.663430i | ||||
\(268\) | 472.278 | 1.76223 | ||||||||
\(269\) | − | 68.0727i | − | 0.253058i | −0.991963 | − | 0.126529i | \(-0.959616\pi\) | ||
0.991963 | − | 0.126529i | \(-0.0403837\pi\) | |||||||
\(270\) | 226.950 | − | 155.291i | 0.840556 | − | 0.575152i | ||||
\(271\) | 154.616 | 0.570540 | 0.285270 | − | 0.958447i | \(-0.407917\pi\) | ||||
0.285270 | + | 0.958447i | \(0.407917\pi\) | |||||||
\(272\) | 609.964i | 2.24252i | ||||||||
\(273\) | −151.423 | − | 171.390i | −0.554663 | − | 0.627801i | ||||
\(274\) | 270.654 | 0.987788 | ||||||||
\(275\) | − | 324.858i | − | 1.18130i | ||||||
\(276\) | 211.686 | − | 187.025i | 0.766976 | − | 0.677625i | ||||
\(277\) | 482.276 | 1.74107 | 0.870534 | − | 0.492109i | \(-0.163774\pi\) | ||||
0.870534 | + | 0.492109i | \(0.163774\pi\) | |||||||
\(278\) | − | 292.781i | − | 1.05317i | ||||||
\(279\) | −4.49824 | + | 36.2238i | −0.0161227 | + | 0.129834i | ||||
\(280\) | −468.443 | −1.67301 | ||||||||
\(281\) | 7.90211i | 0.0281214i | 0.999901 | + | 0.0140607i | \(0.00447581\pi\) | ||||
−0.999901 | + | 0.0140607i | \(0.995524\pi\) | |||||||
\(282\) | −17.7434 | − | 20.0831i | −0.0629200 | − | 0.0712166i | ||||
\(283\) | 342.096 | 1.20882 | 0.604410 | − | 0.796673i | \(-0.293409\pi\) | ||||
0.604410 | + | 0.796673i | \(0.293409\pi\) | |||||||
\(284\) | − | 867.003i | − | 3.05283i | ||||||
\(285\) | −103.163 | + | 91.1443i | −0.361974 | + | 0.319805i | ||||
\(286\) | 583.141 | 2.03896 | ||||||||
\(287\) | − | 495.132i | − | 1.72520i | ||||||
\(288\) | −327.365 | − | 40.6519i | −1.13668 | − | 0.141152i | ||||
\(289\) | −109.207 | −0.377880 | ||||||||
\(290\) | − | 486.425i | − | 1.67733i | ||||||
\(291\) | −33.9237 | − | 38.3969i | −0.116576 | − | 0.131948i | ||||
\(292\) | 1127.91 | 3.86269 | ||||||||
\(293\) | − | 58.8955i | − | 0.201009i | −0.994937 | − | 0.100504i | \(-0.967954\pi\) | ||
0.994937 | − | 0.100504i | \(-0.0320456\pi\) | |||||||
\(294\) | 260.338 | − | 230.009i | 0.885502 | − | 0.782343i | ||||
\(295\) | −21.6056 | −0.0732395 | ||||||||
\(296\) | 256.840i | 0.867702i | ||||||||
\(297\) | −289.859 | − | 423.615i | −0.975958 | − | 1.42631i | ||||
\(298\) | −636.410 | −2.13560 | ||||||||
\(299\) | − | 87.5462i | − | 0.292797i | ||||||
\(300\) | 309.250 | + | 350.027i | 1.03083 | + | 1.16676i | ||||
\(301\) | 404.441 | 1.34366 | ||||||||
\(302\) | 709.293i | 2.34865i | ||||||||
\(303\) | −150.972 | + | 133.384i | −0.498257 | + | 0.440211i | ||||
\(304\) | 498.643 | 1.64027 | ||||||||
\(305\) | − | 92.8039i | − | 0.304275i | ||||||
\(306\) | 80.1384 | − | 645.346i | 0.261890 | − | 2.10897i | ||||
\(307\) | −597.151 | −1.94512 | −0.972559 | − | 0.232656i | \(-0.925258\pi\) | ||||
−0.972559 | + | 0.232656i | \(0.925258\pi\) | |||||||
\(308\) | 1558.68i | 5.06065i | ||||||||
\(309\) | −331.938 | − | 375.707i | −1.07423 | − | 1.21588i | ||||
\(310\) | 41.3080 | 0.133252 | ||||||||
\(311\) | 29.6874i | 0.0954578i | 0.998860 | + | 0.0477289i | \(0.0151983\pi\) | ||||
−0.998860 | + | 0.0477289i | \(0.984802\pi\) | |||||||
\(312\) | −352.471 | + | 311.409i | −1.12971 | + | 0.998104i | ||||
\(313\) | −167.252 | −0.534351 | −0.267176 | − | 0.963648i | \(-0.586090\pi\) | ||||
−0.267176 | + | 0.963648i | \(0.586090\pi\) | |||||||
\(314\) | − | 499.023i | − | 1.58924i | ||||||
\(315\) | 226.073 | + | 28.0736i | 0.717693 | + | 0.0891224i | ||||
\(316\) | 1261.71 | 3.99276 | ||||||||
\(317\) | 395.131i | 1.24647i | 0.782035 | + | 0.623234i | \(0.214182\pi\) | ||||
−0.782035 | + | 0.623234i | \(0.785818\pi\) | |||||||
\(318\) | 533.822 | + | 604.212i | 1.67869 | + | 1.90004i | ||||
\(319\) | −907.940 | −2.84621 | ||||||||
\(320\) | 29.3976i | 0.0918676i | ||||||||
\(321\) | 94.2484 | − | 83.2686i | 0.293609 | − | 0.259404i | ||||
\(322\) | 336.736 | 1.04576 | ||||||||
\(323\) | 325.533i | 1.00784i | ||||||||
\(324\) | 715.579 | + | 180.503i | 2.20858 | + | 0.557109i | ||||
\(325\) | 144.760 | 0.445415 | ||||||||
\(326\) | 961.945i | 2.95075i | ||||||||
\(327\) | 28.9390 | + | 32.7549i | 0.0884985 | + | 0.100168i | ||||
\(328\) | −1018.26 | −3.10445 | ||||||||
\(329\) | − | 22.2003i | − | 0.0674782i | ||||||
\(330\) | −435.312 | + | 384.599i | −1.31913 | + | 1.16545i | ||||
\(331\) | −260.174 | −0.786025 | −0.393013 | − | 0.919533i | \(-0.628567\pi\) | ||||
−0.393013 | + | 0.919533i | \(0.628567\pi\) | |||||||
\(332\) | 249.942i | 0.752836i | ||||||||
\(333\) | 15.3923 | − | 123.952i | 0.0462231 | − | 0.372229i | ||||
\(334\) | −416.076 | −1.24574 | ||||||||
\(335\) | 145.805i | 0.435237i | ||||||||
\(336\) | −546.370 | − | 618.414i | −1.62610 | − | 1.84052i | ||||
\(337\) | 98.0518 | 0.290955 | 0.145477 | − | 0.989362i | \(-0.453528\pi\) | ||||
0.145477 | + | 0.989362i | \(0.453528\pi\) | |||||||
\(338\) | − | 352.081i | − | 1.04166i | ||||||
\(339\) | −1.76882 | + | 1.56276i | −0.00521776 | + | 0.00460990i | ||||
\(340\) | −511.403 | −1.50413 | ||||||||
\(341\) | − | 77.1036i | − | 0.226110i | ||||||
\(342\) | −527.567 | − | 65.5128i | −1.54259 | − | 0.191558i | ||||
\(343\) | −153.162 | −0.446535 | ||||||||
\(344\) | − | 831.752i | − | 2.41789i | ||||||
\(345\) | 57.7394 | + | 65.3529i | 0.167360 | + | 0.189429i | ||||
\(346\) | 245.152 | 0.708533 | ||||||||
\(347\) | 386.618i | 1.11417i | 0.830454 | + | 0.557087i | \(0.188081\pi\) | ||||
−0.830454 | + | 0.557087i | \(0.811919\pi\) | |||||||
\(348\) | 978.285 | − | 864.316i | 2.81116 | − | 2.48367i | ||||
\(349\) | −447.308 | −1.28168 | −0.640842 | − | 0.767673i | \(-0.721415\pi\) | ||||
−0.640842 | + | 0.767673i | \(0.721415\pi\) | |||||||
\(350\) | 556.801i | 1.59086i | ||||||||
\(351\) | 188.767 | − | 129.164i | 0.537798 | − | 0.367989i | ||||
\(352\) | 696.808 | 1.97957 | ||||||||
\(353\) | − | 468.936i | − | 1.32843i | −0.747541 | − | 0.664216i | \(-0.768766\pi\) | ||
0.747541 | − | 0.664216i | \(-0.231234\pi\) | |||||||
\(354\) | −55.2450 | − | 62.5296i | −0.156059 | − | 0.176637i | ||||
\(355\) | 267.666 | 0.753990 | ||||||||
\(356\) | − | 812.504i | − | 2.28231i | ||||||
\(357\) | 403.724 | − | 356.691i | 1.13088 | − | 0.999134i | ||||
\(358\) | −762.710 | −2.13047 | ||||||||
\(359\) | 59.9848i | 0.167088i | 0.996504 | + | 0.0835442i | \(0.0266240\pi\) | ||||
−0.996504 | + | 0.0835442i | \(0.973376\pi\) | |||||||
\(360\) | 57.7346 | − | 464.930i | 0.160374 | − | 1.29147i | ||||
\(361\) | −94.8786 | −0.262822 | ||||||||
\(362\) | − | 332.447i | − | 0.918361i | ||||||
\(363\) | 477.532 | + | 540.499i | 1.31551 | + | 1.48898i | ||||
\(364\) | −694.562 | −1.90814 | ||||||||
\(365\) | 348.214i | 0.954012i | ||||||||
\(366\) | 268.587 | − | 237.297i | 0.733844 | − | 0.648352i | ||||
\(367\) | 42.3632 | 0.115431 | 0.0577155 | − | 0.998333i | \(-0.481618\pi\) | ||||
0.0577155 | + | 0.998333i | \(0.481618\pi\) | |||||||
\(368\) | − | 315.887i | − | 0.858390i | ||||||
\(369\) | 491.418 | + | 61.0238i | 1.33176 | + | 0.165376i | ||||
\(370\) | −141.350 | −0.382026 | ||||||||
\(371\) | 667.910i | 1.80030i | ||||||||
\(372\) | 73.3991 | + | 83.0774i | 0.197309 | + | 0.223326i | ||||
\(373\) | −210.832 | −0.565232 | −0.282616 | − | 0.959233i | \(-0.591202\pi\) | ||||
−0.282616 | + | 0.959233i | \(0.591202\pi\) | |||||||
\(374\) | 1373.64i | 3.67284i | ||||||||
\(375\) | −266.159 | + | 235.152i | −0.709758 | + | 0.627072i | ||||
\(376\) | −45.6560 | −0.121425 | ||||||||
\(377\) | − | 404.587i | − | 1.07317i | ||||||
\(378\) | 496.814 | + | 726.070i | 1.31432 | + | 1.92082i | ||||
\(379\) | 142.841 | 0.376890 | 0.188445 | − | 0.982084i | \(-0.439655\pi\) | ||||
0.188445 | + | 0.982084i | \(0.439655\pi\) | |||||||
\(380\) | 418.070i | 1.10018i | ||||||||
\(381\) | −377.060 | − | 426.780i | −0.989660 | − | 1.12016i | ||||
\(382\) | −216.856 | −0.567685 | ||||||||
\(383\) | − | 215.564i | − | 0.562830i | −0.959586 | − | 0.281415i | \(-0.909196\pi\) | ||
0.959586 | − | 0.281415i | \(-0.0908038\pi\) | |||||||
\(384\) | 244.540 | − | 216.051i | 0.636822 | − | 0.562633i | ||||
\(385\) | −481.205 | −1.24988 | ||||||||
\(386\) | − | 107.853i | − | 0.279413i | ||||||
\(387\) | −49.8465 | + | 401.408i | −0.128802 | + | 1.03723i | ||||
\(388\) | −155.605 | −0.401043 | ||||||||
\(389\) | − | 377.794i | − | 0.971193i | −0.874183 | − | 0.485596i | \(-0.838602\pi\) | ||
0.874183 | − | 0.485596i | \(-0.161398\pi\) | |||||||
\(390\) | −171.381 | − | 193.979i | −0.439439 | − | 0.497383i | ||||
\(391\) | 206.223 | 0.527425 | ||||||||
\(392\) | − | 591.840i | − | 1.50980i | ||||||
\(393\) | 283.843 | − | 250.776i | 0.722246 | − | 0.638106i | ||||
\(394\) | −649.498 | −1.64847 | ||||||||
\(395\) | 389.523i | 0.986135i | ||||||||
\(396\) | −1546.99 | − | 192.104i | −3.90654 | − | 0.485110i | ||||
\(397\) | −420.666 | −1.05961 | −0.529806 | − | 0.848119i | \(-0.677735\pi\) | ||||
−0.529806 | + | 0.848119i | \(0.677735\pi\) | |||||||
\(398\) | 228.845i | 0.574987i | ||||||||
\(399\) | −291.593 | − | 330.042i | −0.730810 | − | 0.827174i | ||||
\(400\) | 522.327 | 1.30582 | ||||||||
\(401\) | 762.529i | 1.90157i | 0.309854 | + | 0.950784i | \(0.399720\pi\) | ||||
−0.309854 | + | 0.950784i | \(0.600280\pi\) | |||||||
\(402\) | −421.978 | + | 372.818i | −1.04970 | + | 0.927408i | ||||
\(403\) | 34.3581 | 0.0852559 | ||||||||
\(404\) | 611.818i | 1.51440i | ||||||||
\(405\) | −55.7261 | + | 220.918i | −0.137595 | + | 0.545477i | ||||
\(406\) | 1556.19 | 3.83299 | ||||||||
\(407\) | 263.837i | 0.648248i | ||||||||
\(408\) | −733.551 | − | 830.277i | −1.79792 | − | 2.03499i | ||||
\(409\) | 389.355 | 0.951968 | 0.475984 | − | 0.879454i | \(-0.342092\pi\) | ||||
0.475984 | + | 0.879454i | \(0.342092\pi\) | |||||||
\(410\) | − | 560.391i | − | 1.36681i | ||||||
\(411\) | −168.049 | + | 148.472i | −0.408879 | + | 0.361246i | ||||
\(412\) | −1522.57 | −3.69555 | ||||||||
\(413\) | − | 69.1217i | − | 0.167365i | ||||||
\(414\) | −41.5020 | + | 334.211i | −0.100246 | + | 0.807272i | ||||
\(415\) | −77.1635 | −0.185936 | ||||||||
\(416\) | 310.504i | 0.746405i | ||||||||
\(417\) | 160.610 | + | 181.788i | 0.385156 | + | 0.435942i | ||||
\(418\) | 1122.95 | 2.68647 | ||||||||
\(419\) | 170.383i | 0.406641i | 0.979112 | + | 0.203320i | \(0.0651733\pi\) | ||||
−0.979112 | + | 0.203320i | \(0.934827\pi\) | |||||||
\(420\) | 518.488 | − | 458.085i | 1.23449 | − | 1.09068i | ||||
\(421\) | −211.619 | −0.502657 | −0.251329 | − | 0.967902i | \(-0.580867\pi\) | ||||
−0.251329 | + | 0.967902i | \(0.580867\pi\) | |||||||
\(422\) | − | 363.339i | − | 0.860994i | ||||||
\(423\) | 22.0338 | + | 2.73614i | 0.0520894 | + | 0.00646842i | ||||
\(424\) | 1373.59 | 3.23960 | ||||||||
\(425\) | 340.995i | 0.802341i | ||||||||
\(426\) | 684.415 | + | 774.662i | 1.60661 | + | 1.81846i | ||||
\(427\) | 296.903 | 0.695322 | ||||||||
\(428\) | − | 381.945i | − | 0.892394i | ||||||
\(429\) | −362.073 | + | 319.892i | −0.843994 | + | 0.745670i | ||||
\(430\) | 457.748 | 1.06453 | ||||||||
\(431\) | − | 319.026i | − | 0.740199i | −0.928992 | − | 0.370100i | \(-0.879324\pi\) | ||
0.928992 | − | 0.370100i | \(-0.120676\pi\) | |||||||
\(432\) | 681.116 | − | 466.055i | 1.57666 | − | 1.07883i | ||||
\(433\) | −86.0871 | −0.198815 | −0.0994077 | − | 0.995047i | \(-0.531695\pi\) | ||||
−0.0994077 | + | 0.995047i | \(0.531695\pi\) | |||||||
\(434\) | 132.154i | 0.304503i | ||||||||
\(435\) | 266.837 | + | 302.022i | 0.613419 | + | 0.694304i | ||||
\(436\) | 132.740 | 0.304450 | ||||||||
\(437\) | − | 168.586i | − | 0.385781i | ||||||
\(438\) | −1007.78 | + | 890.374i | −2.30086 | + | 2.03282i | ||||
\(439\) | −334.000 | −0.760821 | −0.380410 | − | 0.924818i | \(-0.624217\pi\) | ||||
−0.380410 | + | 0.924818i | \(0.624217\pi\) | |||||||
\(440\) | 989.621i | 2.24914i | ||||||||
\(441\) | −35.4687 | + | 285.626i | −0.0804279 | + | 0.647677i | ||||
\(442\) | −612.108 | −1.38486 | ||||||||
\(443\) | − | 503.833i | − | 1.13732i | −0.822573 | − | 0.568660i | \(-0.807462\pi\) | ||
0.822573 | − | 0.568660i | \(-0.192538\pi\) | |||||||
\(444\) | −251.161 | − | 284.279i | −0.565677 | − | 0.640267i | ||||
\(445\) | 250.841 | 0.563688 | ||||||||
\(446\) | − | 751.515i | − | 1.68501i | ||||||
\(447\) | 395.148 | − | 349.114i | 0.884000 | − | 0.781015i | ||||
\(448\) | −94.0503 | −0.209934 | ||||||||
\(449\) | 532.639i | 1.18628i | 0.805100 | + | 0.593139i | \(0.202112\pi\) | ||||
−0.805100 | + | 0.593139i | \(0.797888\pi\) | |||||||
\(450\) | −552.626 | − | 68.6245i | −1.22806 | − | 0.152499i | ||||
\(451\) | −1046.00 | −2.31929 | ||||||||
\(452\) | 7.16821i | 0.0158589i | ||||||||
\(453\) | −389.095 | − | 440.401i | −0.858930 | − | 0.972188i | ||||
\(454\) | 1469.13 | 3.23597 | ||||||||
\(455\) | − | 214.430i | − | 0.471274i | ||||||
\(456\) | −678.747 | + | 599.674i | −1.48848 | + | 1.31508i | ||||
\(457\) | −52.1223 | −0.114053 | −0.0570266 | − | 0.998373i | \(-0.518162\pi\) | ||||
−0.0570266 | + | 0.998373i | \(0.518162\pi\) | |||||||
\(458\) | − | 647.007i | − | 1.41268i | ||||||
\(459\) | 304.258 | + | 444.658i | 0.662871 | + | 0.968753i | ||||
\(460\) | 264.845 | 0.575749 | ||||||||
\(461\) | 830.105i | 1.80066i | 0.435207 | + | 0.900330i | \(0.356675\pi\) | ||||
−0.435207 | + | 0.900330i | \(0.643325\pi\) | |||||||
\(462\) | −1230.43 | − | 1392.67i | −2.66326 | − | 3.01444i | ||||
\(463\) | 185.779 | 0.401250 | 0.200625 | − | 0.979668i | \(-0.435703\pi\) | ||||
0.200625 | + | 0.979668i | \(0.435703\pi\) | |||||||
\(464\) | − | 1459.84i | − | 3.14621i | ||||||
\(465\) | −25.6482 | + | 22.6602i | −0.0551574 | + | 0.0487317i | ||||
\(466\) | 320.674 | 0.688142 | ||||||||
\(467\) | − | 834.915i | − | 1.78783i | −0.448239 | − | 0.893914i | \(-0.647949\pi\) | ||
0.448239 | − | 0.893914i | \(-0.352051\pi\) | |||||||
\(468\) | 85.6032 | − | 689.354i | 0.182913 | − | 1.47298i | ||||
\(469\) | −466.464 | −0.994594 | ||||||||
\(470\) | − | 25.1264i | − | 0.0534604i | ||||||
\(471\) | 273.748 | + | 309.844i | 0.581205 | + | 0.657843i | ||||
\(472\) | −142.152 | −0.301170 | ||||||||
\(473\) | − | 854.412i | − | 1.80637i | ||||||
\(474\) | −1127.33 | + | 996.000i | −2.37834 | + | 2.10127i | ||||
\(475\) | 278.762 | 0.586867 | ||||||||
\(476\) | − | 1636.10i | − | 3.43719i | ||||||
\(477\) | −662.902 | − | 82.3185i | −1.38973 | − | 0.172575i | ||||
\(478\) | −741.771 | −1.55182 | ||||||||
\(479\) | − | 3.76008i | − | 0.00784985i | −0.999992 | − | 0.00392492i | \(-0.998751\pi\) | ||
0.999992 | − | 0.00392492i | \(-0.00124935\pi\) | |||||||
\(480\) | −204.787 | − | 231.790i | −0.426640 | − | 0.482896i | ||||
\(481\) | −117.568 | −0.244425 | ||||||||
\(482\) | 925.741i | 1.92063i | ||||||||
\(483\) | −209.080 | + | 184.722i | −0.432878 | + | 0.382448i | ||||
\(484\) | 2190.39 | 4.52560 | ||||||||
\(485\) | − | 48.0392i | − | 0.0990499i | ||||||
\(486\) | −781.856 | + | 403.602i | −1.60876 | + | 0.830457i | ||||
\(487\) | 532.953 | 1.09436 | 0.547180 | − | 0.837015i | \(-0.315701\pi\) | ||||
0.547180 | + | 0.837015i | \(0.315701\pi\) | |||||||
\(488\) | − | 610.594i | − | 1.25122i | ||||||
\(489\) | −527.692 | − | 597.273i | −1.07912 | − | 1.22142i | ||||
\(490\) | 325.715 | 0.664723 | ||||||||
\(491\) | − | 457.567i | − | 0.931907i | −0.884809 | − | 0.465954i | \(-0.845711\pi\) | ||
0.884809 | − | 0.465954i | \(-0.154289\pi\) | |||||||
\(492\) | 1127.04 | − | 995.745i | 2.29074 | − | 2.02387i | ||||
\(493\) | 953.040 | 1.93314 | ||||||||
\(494\) | 500.395i | 1.01295i | ||||||||
\(495\) | 59.3075 | − | 477.596i | 0.119813 | − | 0.964841i | ||||
\(496\) | 123.972 | 0.249944 | ||||||||
\(497\) | 856.331i | 1.72300i | ||||||||
\(498\) | −197.305 | − | 223.321i | −0.396195 | − | 0.448437i | ||||
\(499\) | 838.159 | 1.67968 | 0.839839 | − | 0.542836i | \(-0.182649\pi\) | ||||
0.839839 | + | 0.542836i | \(0.182649\pi\) | |||||||
\(500\) | 1078.62i | 2.15724i | ||||||||
\(501\) | 258.342 | − | 228.246i | 0.515653 | − | 0.455580i | ||||
\(502\) | −755.853 | −1.50568 | ||||||||
\(503\) | − | 85.9693i | − | 0.170913i | −0.996342 | − | 0.0854566i | \(-0.972765\pi\) | ||
0.996342 | − | 0.0854566i | \(-0.0272349\pi\) | |||||||
\(504\) | 1487.43 | + | 184.707i | 2.95124 | + | 0.366482i | ||||
\(505\) | −188.884 | −0.374028 | ||||||||
\(506\) | − | 711.379i | − | 1.40589i | ||||||
\(507\) | 193.140 | + | 218.608i | 0.380948 | + | 0.431179i | ||||
\(508\) | −1729.54 | −3.40460 | ||||||||
\(509\) | − | 788.265i | − | 1.54865i | −0.632786 | − | 0.774327i | \(-0.718089\pi\) | ||
0.632786 | − | 0.774327i | \(-0.281911\pi\) | |||||||
\(510\) | 456.936 | − | 403.704i | 0.895953 | − | 0.791576i | ||||
\(511\) | −1114.02 | −2.18008 | ||||||||
\(512\) | − | 1142.38i | − | 2.23121i | ||||||
\(513\) | 363.505 | − | 248.729i | 0.708588 | − | 0.484852i | ||||
\(514\) | −402.922 | −0.783894 | ||||||||
\(515\) | − | 470.056i | − | 0.912731i | ||||||
\(516\) | 813.360 | + | 920.610i | 1.57628 | + | 1.78413i | ||||
\(517\) | −46.8998 | −0.0907153 | ||||||||
\(518\) | − | 452.212i | − | 0.872997i | ||||||
\(519\) | −152.216 | + | 134.483i | −0.293286 | + | 0.259119i | ||||
\(520\) | −440.984 | −0.848047 | ||||||||
\(521\) | 764.944i | 1.46822i | 0.679029 | + | 0.734111i | \(0.262401\pi\) | ||||
−0.679029 | + | 0.734111i | \(0.737599\pi\) | |||||||
\(522\) | −191.797 | + | 1544.52i | −0.367428 | + | 2.95886i | ||||
\(523\) | −901.245 | −1.72322 | −0.861611 | − | 0.507569i | \(-0.830544\pi\) | ||||
−0.861611 | + | 0.507569i | \(0.830544\pi\) | |||||||
\(524\) | − | 1150.28i | − | 2.19520i | ||||||
\(525\) | −305.443 | − | 345.719i | −0.581796 | − | 0.658512i | ||||
\(526\) | −212.851 | −0.404659 | ||||||||
\(527\) | 80.9337i | 0.153574i | ||||||||
\(528\) | −1306.45 | + | 1154.25i | −2.47433 | + | 2.18607i | ||||
\(529\) | 422.202 | 0.798113 | ||||||||
\(530\) | 755.943i | 1.42631i | ||||||||
\(531\) | 68.6034 | + | 8.51910i | 0.129197 | + | 0.0160435i | ||||
\(532\) | −1337.51 | −2.51411 | ||||||||
\(533\) | − | 466.108i | − | 0.874500i | ||||||
\(534\) | 641.394 | + | 725.968i | 1.20111 | + | 1.35949i | ||||
\(535\) | 117.916 | 0.220404 | ||||||||
\(536\) | 959.306i | 1.78975i | ||||||||
\(537\) | 473.567 | − | 418.398i | 0.881876 | − | 0.779139i | ||||
\(538\) | 246.486 | 0.458152 | ||||||||
\(539\) | − | 607.964i | − | 1.12795i | ||||||
\(540\) | 390.747 | + | 571.057i | 0.723606 | + | 1.05751i | ||||
\(541\) | 660.541 | 1.22096 | 0.610482 | − | 0.792030i | \(-0.290976\pi\) | ||||
0.610482 | + | 0.792030i | \(0.290976\pi\) | |||||||
\(542\) | 559.852i | 1.03294i | ||||||||
\(543\) | 182.370 | + | 206.417i | 0.335855 | + | 0.380141i | ||||
\(544\) | −731.421 | −1.34452 | ||||||||
\(545\) | 40.9804i | 0.0751934i | ||||||||
\(546\) | 620.588 | − | 548.290i | 1.13661 | − | 1.00419i | ||||
\(547\) | −446.351 | −0.815998 | −0.407999 | − | 0.912982i | \(-0.633773\pi\) | ||||
−0.407999 | + | 0.912982i | \(0.633773\pi\) | |||||||
\(548\) | 681.026i | 1.24275i | ||||||||
\(549\) | −36.5926 | + | 294.676i | −0.0666531 | + | 0.536750i | ||||
\(550\) | 1176.28 | 2.13870 | ||||||||
\(551\) | − | 779.106i | − | 1.41399i | ||||||
\(552\) | 379.890 | + | 429.982i | 0.688207 | + | 0.778954i | ||||
\(553\) | −1246.18 | −2.25349 | ||||||||
\(554\) | 1746.28i | 3.15213i | ||||||||
\(555\) | 87.7642 | − | 77.5399i | 0.158134 | − | 0.139711i | ||||
\(556\) | 736.702 | 1.32500 | ||||||||
\(557\) | 426.163i | 0.765104i | 0.923934 | + | 0.382552i | \(0.124955\pi\) | ||||
−0.923934 | + | 0.382552i | \(0.875045\pi\) | |||||||
\(558\) | −131.163 | − | 16.2877i | −0.235060 | − | 0.0291895i | ||||
\(559\) | 380.734 | 0.681099 | ||||||||
\(560\) | − | 773.713i | − | 1.38163i | ||||||
\(561\) | −753.535 | − | 852.896i | −1.34320 | − | 1.52031i | ||||
\(562\) | −28.6129 | −0.0509126 | ||||||||
\(563\) | − | 128.538i | − | 0.228309i | −0.993463 | − | 0.114155i | \(-0.963584\pi\) | ||
0.993463 | − | 0.114155i | \(-0.0364160\pi\) | |||||||
\(564\) | 50.5335 | − | 44.6464i | 0.0895984 | − | 0.0791603i | ||||
\(565\) | −2.21301 | −0.00391684 | ||||||||
\(566\) | 1238.70i | 2.18852i | ||||||||
\(567\) | −706.771 | − | 178.281i | −1.24651 | − | 0.314429i | ||||
\(568\) | 1761.08 | 3.10050 | ||||||||
\(569\) | 276.291i | 0.485572i | 0.970080 | + | 0.242786i | \(0.0780613\pi\) | ||||
−0.970080 | + | 0.242786i | \(0.921939\pi\) | |||||||
\(570\) | −330.026 | − | 373.543i | −0.578993 | − | 0.655339i | ||||
\(571\) | −148.282 | −0.259689 | −0.129844 | − | 0.991534i | \(-0.541448\pi\) | ||||
−0.129844 | + | 0.991534i | \(0.541448\pi\) | |||||||
\(572\) | 1467.31i | 2.56523i | ||||||||
\(573\) | 134.646 | − | 118.960i | 0.234984 | − | 0.207609i | ||||
\(574\) | 1792.83 | 3.12340 | ||||||||
\(575\) | − | 176.594i | − | 0.307120i | ||||||
\(576\) | 11.5915 | − | 93.3450i | 0.0201241 | − | 0.162057i | ||||
\(577\) | −186.092 | −0.322516 | −0.161258 | − | 0.986912i | \(-0.551555\pi\) | ||||
−0.161258 | + | 0.986912i | \(0.551555\pi\) | |||||||
\(578\) | − | 395.431i | − | 0.684137i | ||||||
\(579\) | 59.1649 | + | 66.9664i | 0.102185 | + | 0.115659i | ||||
\(580\) | 1223.95 | 2.11027 | ||||||||
\(581\) | − | 246.865i | − | 0.424897i | ||||||
\(582\) | 139.032 | − | 122.835i | 0.238886 | − | 0.211056i | ||||
\(583\) | 1411.01 | 2.42026 | ||||||||
\(584\) | 2291.04i | 3.92301i | ||||||||
\(585\) | 212.822 | + | 26.4280i | 0.363798 | + | 0.0451760i | ||||
\(586\) | 213.256 | 0.363918 | ||||||||
\(587\) | 985.876i | 1.67952i | 0.542960 | + | 0.839758i | \(0.317303\pi\) | ||||
−0.542960 | + | 0.839758i | \(0.682697\pi\) | |||||||
\(588\) | 578.753 | + | 655.068i | 0.984275 | + | 1.11406i | ||||
\(589\) | 66.1629 | 0.112331 | ||||||||
\(590\) | − | 78.2322i | − | 0.132597i | ||||||
\(591\) | 403.274 | − | 356.293i | 0.682359 | − | 0.602865i | ||||
\(592\) | −424.214 | −0.716578 | ||||||||
\(593\) | 366.566i | 0.618155i | 0.951037 | + | 0.309078i | \(0.100020\pi\) | ||||
−0.951037 | + | 0.309078i | \(0.899980\pi\) | |||||||
\(594\) | 1533.87 | − | 1049.56i | 2.58228 | − | 1.76693i | ||||
\(595\) | 505.108 | 0.848922 | ||||||||
\(596\) | − | 1601.35i | − | 2.68683i | ||||||
\(597\) | −125.537 | − | 142.090i | −0.210279 | − | 0.238007i | ||||
\(598\) | 316.997 | 0.530096 | ||||||||
\(599\) | − | 544.283i | − | 0.908653i | −0.890835 | − | 0.454327i | \(-0.849880\pi\) | ||
0.890835 | − | 0.454327i | \(-0.150120\pi\) | |||||||
\(600\) | −710.986 | + | 628.158i | −1.18498 | + | 1.04693i | ||||
\(601\) | −648.078 | −1.07833 | −0.539166 | − | 0.842199i | \(-0.681261\pi\) | ||||
−0.539166 | + | 0.842199i | \(0.681261\pi\) | |||||||
\(602\) | 1464.45i | 2.43264i | ||||||||
\(603\) | 57.4907 | − | 462.966i | 0.0953411 | − | 0.767772i | ||||
\(604\) | −1784.74 | −2.95487 | ||||||||
\(605\) | 676.230i | 1.11774i | ||||||||
\(606\) | −482.972 | − | 546.656i | −0.796983 | − | 0.902073i | ||||
\(607\) | −288.308 | −0.474972 | −0.237486 | − | 0.971391i | \(-0.576323\pi\) | ||||
−0.237486 | + | 0.971391i | \(0.576323\pi\) | |||||||
\(608\) | 597.933i | 0.983443i | ||||||||
\(609\) | −966.243 | + | 853.677i | −1.58661 | + | 1.40177i | ||||
\(610\) | 336.035 | 0.550877 | ||||||||
\(611\) | − | 20.8990i | − | 0.0342046i | ||||||
\(612\) | 1623.83 | + | 201.646i | 2.65332 | + | 0.329487i | ||||
\(613\) | 259.679 | 0.423620 | 0.211810 | − | 0.977311i | \(-0.432064\pi\) | ||||
0.211810 | + | 0.977311i | \(0.432064\pi\) | |||||||
\(614\) | − | 2162.23i | − | 3.52156i | ||||||
\(615\) | 307.412 | + | 347.948i | 0.499858 | + | 0.565769i | ||||
\(616\) | −3166.04 | −5.13967 | ||||||||
\(617\) | 622.301i | 1.00859i | 0.863531 | + | 0.504296i | \(0.168248\pi\) | ||||
−0.863531 | + | 0.504296i | \(0.831752\pi\) | |||||||
\(618\) | 1360.41 | − | 1201.92i | 2.20130 | − | 1.94485i | ||||
\(619\) | 605.489 | 0.978172 | 0.489086 | − | 0.872236i | \(-0.337330\pi\) | ||||
0.489086 | + | 0.872236i | \(0.337330\pi\) | |||||||
\(620\) | 103.940i | 0.167645i | ||||||||
\(621\) | −157.569 | − | 230.279i | −0.253734 | − | 0.370819i | ||||
\(622\) | −107.495 | −0.172822 | ||||||||
\(623\) | 802.503i | 1.28813i | ||||||||
\(624\) | −514.343 | − | 582.165i | −0.824268 | − | 0.932956i | ||||
\(625\) | 94.2041 | 0.150727 | ||||||||
\(626\) | − | 605.605i | − | 0.967421i | ||||||
\(627\) | −697.239 | + | 616.012i | −1.11202 | + | 0.982475i | ||||
\(628\) | 1255.65 | 1.99945 | ||||||||
\(629\) | − | 276.943i | − | 0.440291i | ||||||
\(630\) | −101.652 | + | 818.593i | −0.161352 | + | 1.29935i | ||||
\(631\) | −941.970 | −1.49282 | −0.746411 | − | 0.665486i | \(-0.768224\pi\) | ||||
−0.746411 | + | 0.665486i | \(0.768224\pi\) | |||||||
\(632\) | 2562.83i | 4.05511i | ||||||||
\(633\) | 199.316 | + | 225.598i | 0.314875 | + | 0.356395i | ||||
\(634\) | −1430.73 | −2.25668 | ||||||||
\(635\) | − | 533.954i | − | 0.840872i | ||||||
\(636\) | −1520.33 | + | 1343.22i | −2.39046 | + | 2.11197i | ||||
\(637\) | 270.915 | 0.425298 | ||||||||
\(638\) | − | 3287.57i | − | 5.15294i | ||||||
\(639\) | −849.909 | − | 105.541i | −1.33006 | − | 0.165166i | ||||
\(640\) | 305.949 | 0.478046 | ||||||||
\(641\) | 401.011i | 0.625602i | 0.949819 | + | 0.312801i | \(0.101267\pi\) | ||||
−0.949819 | + | 0.312801i | \(0.898733\pi\) | |||||||
\(642\) | 301.509 | + | 341.265i | 0.469640 | + | 0.531566i | ||||
\(643\) | 851.435 | 1.32416 | 0.662080 | − | 0.749433i | \(-0.269674\pi\) | ||||
0.662080 | + | 0.749433i | \(0.269674\pi\) | |||||||
\(644\) | 847.303i | 1.31569i | ||||||||
\(645\) | −284.216 | + | 251.106i | −0.440646 | + | 0.389311i | ||||
\(646\) | −1178.73 | −1.82465 | ||||||||
\(647\) | 221.121i | 0.341764i | 0.985292 | + | 0.170882i | \(0.0546617\pi\) | ||||
−0.985292 | + | 0.170882i | \(0.945338\pi\) | |||||||
\(648\) | −366.644 | + | 1453.51i | −0.565808 | + | 2.24307i | ||||
\(649\) | −146.025 | −0.225000 | ||||||||
\(650\) | 524.163i | 0.806405i | ||||||||
\(651\) | −72.4956 | − | 82.0548i | −0.111360 | − | 0.126044i | ||||
\(652\) | −2420.47 | −3.71237 | ||||||||
\(653\) | 512.798i | 0.785296i | 0.919689 | + | 0.392648i | \(0.128441\pi\) | ||||
−0.919689 | + | 0.392648i | \(0.871559\pi\) | |||||||
\(654\) | −118.603 | + | 104.786i | −0.181350 | + | 0.160223i | ||||
\(655\) | 355.122 | 0.542172 | ||||||||
\(656\) | − | 1681.83i | − | 2.56376i | ||||||
\(657\) | 137.301 | − | 1105.67i | 0.208981 | − | 1.68291i | ||||
\(658\) | 80.3855 | 0.122166 | ||||||||
\(659\) | − | 241.786i | − | 0.366898i | −0.983029 | − | 0.183449i | \(-0.941274\pi\) | ||
0.983029 | − | 0.183449i | \(-0.0587262\pi\) | |||||||
\(660\) | −967.738 | − | 1095.34i | −1.46627 | − | 1.65961i | ||||
\(661\) | −1100.95 | −1.66558 | −0.832790 | − | 0.553590i | \(-0.813258\pi\) | ||||
−0.832790 | + | 0.553590i | \(0.813258\pi\) | |||||||
\(662\) | − | 942.070i | − | 1.42307i | ||||||
\(663\) | 380.059 | − | 335.783i | 0.573241 | − | 0.506459i | ||||
\(664\) | −507.689 | −0.764592 | ||||||||
\(665\) | − | 412.924i | − | 0.620938i | ||||||
\(666\) | 448.821 | + | 55.7342i | 0.673906 | + | 0.0836849i | ||||
\(667\) | −493.559 | −0.739968 | ||||||||
\(668\) | − | 1046.94i | − | 1.56728i | ||||||
\(669\) | 412.257 | + | 466.617i | 0.616228 | + | 0.697484i | ||||
\(670\) | −527.946 | −0.787979 | ||||||||
\(671\) | − | 627.228i | − | 0.934767i | ||||||
\(672\) | 741.554 | − | 655.164i | 1.10350 | − | 0.974947i | ||||
\(673\) | 820.295 | 1.21886 | 0.609431 | − | 0.792839i | \(-0.291398\pi\) | ||||
0.609431 | + | 0.792839i | \(0.291398\pi\) | |||||||
\(674\) | 355.037i | 0.526762i | ||||||||
\(675\) | 380.771 | − | 260.543i | 0.564106 | − | 0.385990i | ||||
\(676\) | 885.915 | 1.31053 | ||||||||
\(677\) | − | 863.866i | − | 1.27602i | −0.770028 | − | 0.638010i | \(-0.779758\pi\) | ||
0.770028 | − | 0.638010i | \(-0.220242\pi\) | |||||||
\(678\) | −5.65861 | − | 6.40475i | −0.00834603 | − | 0.00944654i | ||||
\(679\) | 153.689 | 0.226346 | ||||||||
\(680\) | − | 1038.78i | − | 1.52762i | ||||||
\(681\) | −912.186 | + | 805.918i | −1.33948 | + | 1.18343i | ||||
\(682\) | 279.186 | 0.409363 | ||||||||
\(683\) | 1009.66i | 1.47828i | 0.673554 | + | 0.739138i | \(0.264767\pi\) | ||||
−0.673554 | + | 0.739138i | \(0.735233\pi\) | |||||||
\(684\) | 164.845 | − | 1327.48i | 0.241001 | − | 1.94076i | ||||
\(685\) | −210.251 | −0.306935 | ||||||||
\(686\) | − | 554.585i | − | 0.808434i | ||||||
\(687\) | 354.927 | + | 401.727i | 0.516633 | + | 0.584756i | ||||
\(688\) | 1373.78 | 1.99677 | ||||||||
\(689\) | 628.759i | 0.912568i | ||||||||
\(690\) | −236.637 | + | 209.069i | −0.342953 | + | 0.302999i | ||||
\(691\) | 584.388 | 0.845714 | 0.422857 | − | 0.906196i | \(-0.361027\pi\) | ||||
0.422857 | + | 0.906196i | \(0.361027\pi\) | |||||||
\(692\) | 616.858i | 0.891414i | ||||||||
\(693\) | 1527.95 | + | 189.739i | 2.20483 | + | 0.273794i | ||||
\(694\) | −1399.91 | −2.01716 | ||||||||
\(695\) | 227.439i | 0.327251i | ||||||||
\(696\) | 1755.63 | + | 1987.12i | 2.52245 | + | 2.85506i | ||||
\(697\) | 1097.96 | 1.57527 | ||||||||
\(698\) | − | 1619.66i | − | 2.32043i | ||||||
\(699\) | −199.107 | + | 175.911i | −0.284846 | + | 0.251662i | ||||
\(700\) | −1401.04 | −2.00148 | ||||||||
\(701\) | − | 813.924i | − | 1.16109i | −0.814228 | − | 0.580545i | \(-0.802840\pi\) | ||
0.814228 | − | 0.580545i | \(-0.197160\pi\) | |||||||
\(702\) | 467.693 | + | 683.509i | 0.666229 | + | 0.973660i | ||||
\(703\) | −226.399 | −0.322048 | ||||||||
\(704\) | 198.688i | 0.282227i | ||||||||
\(705\) | 13.7835 | + | 15.6010i | 0.0195511 | + | 0.0221291i | ||||
\(706\) | 1697.98 | 2.40507 | ||||||||
\(707\) | − | 604.287i | − | 0.854720i | ||||||
\(708\) | 157.338 | − | 139.009i | 0.222229 | − | 0.196340i | ||||
\(709\) | 275.826 | 0.389035 | 0.194518 | − | 0.980899i | \(-0.437686\pi\) | ||||
0.194518 | + | 0.980899i | \(0.437686\pi\) | |||||||
\(710\) | 969.198i | 1.36507i | ||||||||
\(711\) | 153.589 | − | 1236.84i | 0.216018 | − | 1.73957i | ||||
\(712\) | 1650.38 | 2.31796 | ||||||||
\(713\) | − | 41.9138i | − | 0.0587851i | ||||||
\(714\) | 1291.55 | + | 1461.85i | 1.80889 | + | 2.04741i | ||||
\(715\) | −452.998 | −0.633564 | ||||||||
\(716\) | − | 1919.15i | − | 2.68037i | ||||||
\(717\) | 460.567 | − | 406.912i | 0.642353 | − | 0.567520i | ||||
\(718\) | −217.200 | −0.302507 | ||||||||
\(719\) | − | 79.3016i | − | 0.110294i | −0.998478 | − | 0.0551471i | \(-0.982437\pi\) | ||
0.998478 | − | 0.0551471i | \(-0.0175628\pi\) | |||||||
\(720\) | 767.910 | + | 95.3583i | 1.06654 | + | 0.132442i | ||||
\(721\) | 1503.83 | 2.08575 | ||||||||
\(722\) | − | 343.547i | − | 0.475827i | ||||||
\(723\) | −507.832 | − | 574.794i | −0.702395 | − | 0.795013i | ||||
\(724\) | 836.510 | 1.15540 | ||||||||
\(725\) | − | 816.112i | − | 1.12567i | ||||||
\(726\) | −1957.10 | + | 1729.10i | −2.69573 | + | 2.38168i | ||||
\(727\) | −432.390 | −0.594759 | −0.297380 | − | 0.954759i | \(-0.596113\pi\) | ||||
−0.297380 | + | 0.954759i | \(0.596113\pi\) | |||||||
\(728\) | − | 1410.82i | − | 1.93794i | ||||||
\(729\) | 264.052 | − | 679.498i | 0.362212 | − | 0.932096i | ||||
\(730\) | −1260.85 | −1.72720 | ||||||||
\(731\) | 896.854i | 1.22689i | ||||||||
\(732\) | 597.092 | + | 675.824i | 0.815700 | + | 0.923257i | ||||
\(733\) | −700.451 | −0.955595 | −0.477797 | − | 0.878470i | \(-0.658565\pi\) | ||||
−0.477797 | + | 0.878470i | \(0.658565\pi\) | |||||||
\(734\) | 153.393i | 0.208983i | ||||||||
\(735\) | −202.237 | + | 178.676i | −0.275152 | + | 0.243097i | ||||
\(736\) | 378.787 | 0.514657 | ||||||||
\(737\) | 985.440i | 1.33710i | ||||||||
\(738\) | −220.962 | + | 1779.38i | −0.299407 | + | 2.41109i | ||||
\(739\) | 906.590 | 1.22678 | 0.613389 | − | 0.789781i | \(-0.289806\pi\) | ||||
0.613389 | + | 0.789781i | \(0.289806\pi\) | |||||||
\(740\) | − | 355.667i | − | 0.480632i | ||||||
\(741\) | −274.501 | − | 310.696i | −0.370446 | − | 0.419293i | ||||
\(742\) | −2418.45 | −3.25936 | ||||||||
\(743\) | 350.702i | 0.472008i | 0.971752 | + | 0.236004i | \(0.0758378\pi\) | ||||
−0.971752 | + | 0.236004i | \(0.924162\pi\) | |||||||
\(744\) | −168.750 | + | 149.091i | −0.226814 | + | 0.200390i | ||||
\(745\) | 494.379 | 0.663595 | ||||||||
\(746\) | − | 763.404i | − | 1.02333i | ||||||
\(747\) | 245.014 | + | 30.4256i | 0.327997 | + | 0.0407303i | ||||
\(748\) | −3456.39 | −4.62084 | ||||||||
\(749\) | 377.243i | 0.503663i | ||||||||
\(750\) | −851.466 | − | 963.740i | −1.13529 | − | 1.28499i | ||||
\(751\) | −688.234 | −0.916423 | −0.458212 | − | 0.888843i | \(-0.651510\pi\) | ||||
−0.458212 | + | 0.888843i | \(0.651510\pi\) | |||||||
\(752\) | − | 75.4085i | − | 0.100277i | ||||||
\(753\) | 469.310 | − | 414.637i | 0.623254 | − | 0.550646i | ||||
\(754\) | 1464.97 | 1.94294 | ||||||||
\(755\) | − | 550.996i | − | 0.729796i | ||||||
\(756\) | −1826.95 | + | 1250.10i | −2.41660 | + | 1.65357i | ||||
\(757\) | 1336.84 | 1.76597 | 0.882983 | − | 0.469406i | \(-0.155532\pi\) | ||||
0.882983 | + | 0.469406i | \(0.155532\pi\) | |||||||
\(758\) | 517.217i | 0.682344i | ||||||||
\(759\) | 390.240 | + | 441.696i | 0.514150 | + | 0.581945i | ||||
\(760\) | −849.196 | −1.11736 | ||||||||
\(761\) | 882.165i | 1.15922i | 0.814895 | + | 0.579609i | \(0.196795\pi\) | ||||
−0.814895 | + | 0.579609i | \(0.803205\pi\) | |||||||
\(762\) | 1545.33 | − | 1365.30i | 2.02800 | − | 1.79174i | ||||
\(763\) | −131.106 | −0.171830 | ||||||||
\(764\) | − | 545.657i | − | 0.714211i | ||||||
\(765\) | −62.2535 | + | 501.320i | −0.0813771 | + | 0.655321i | ||||
\(766\) | 780.539 | 1.01898 | ||||||||
\(767\) | − | 65.0700i | − | 0.0848371i | ||||||
\(768\) | 865.342 | + | 979.446i | 1.12675 | + | 1.27532i | ||||
\(769\) | −142.803 | −0.185700 | −0.0928500 | − | 0.995680i | \(-0.529598\pi\) | ||||
−0.0928500 | + | 0.995680i | \(0.529598\pi\) | |||||||
\(770\) | − | 1742.40i | − | 2.26286i | ||||||
\(771\) | 250.175 | − | 221.030i | 0.324481 | − | 0.286679i | ||||
\(772\) | 271.383 | 0.351533 | ||||||||
\(773\) | 43.6724i | 0.0564973i | 0.999601 | + | 0.0282486i | \(0.00899302\pi\) | ||||
−0.999601 | + | 0.0282486i | \(0.991007\pi\) | |||||||
\(774\) | −1453.47 | − | 180.490i | −1.87786 | − | 0.233191i | ||||
\(775\) | 69.3055 | 0.0894264 | ||||||||
\(776\) | − | 316.069i | − | 0.407305i | ||||||
\(777\) | 248.069 | + | 280.779i | 0.319265 | + | 0.361363i | ||||
\(778\) | 1367.96 | 1.75830 | ||||||||
\(779\) | − | 897.577i | − | 1.15222i | ||||||
\(780\) | 488.095 | − | 431.233i | 0.625763 | − | 0.552863i | ||||
\(781\) | 1809.06 | 2.31634 | ||||||||
\(782\) | 746.716i | 0.954880i | ||||||||
\(783\) | −728.188 | − | 1064.21i | −0.929998 | − | 1.35915i | ||||
\(784\) | 977.524 | 1.24684 | ||||||||
\(785\) | 387.653i | 0.493825i | ||||||||
\(786\) | 908.038 | + | 1027.77i | 1.15526 | + | 1.30760i | ||||
\(787\) | −276.086 | −0.350808 | −0.175404 | − | 0.984497i | \(-0.556123\pi\) | ||||
−0.175404 | + | 0.984497i | \(0.556123\pi\) | |||||||
\(788\) | − | 1634.28i | − | 2.07396i | ||||||
\(789\) | 132.159 | − | 116.763i | 0.167502 | − | 0.147988i | ||||
\(790\) | −1410.43 | −1.78536 | ||||||||
\(791\) | − | 7.07997i | − | 0.00895066i | ||||||
\(792\) | 390.207 | − | 3142.30i | 0.492686 | − | 3.96755i | ||||
\(793\) | 279.499 | 0.352458 | ||||||||
\(794\) | − | 1523.20i | − | 1.91838i | ||||||
\(795\) | −414.686 | − | 469.366i | −0.521617 | − | 0.590398i | ||||
\(796\) | −575.825 | −0.723398 | ||||||||
\(797\) | 288.683i | 0.362212i | 0.983464 | + | 0.181106i | \(0.0579677\pi\) | ||||
−0.983464 | + | 0.181106i | \(0.942032\pi\) | |||||||
\(798\) | 1195.06 | − | 1055.83i | 1.49756 | − | 1.32310i | ||||
\(799\) | 49.2295 | 0.0616139 | ||||||||
\(800\) | 626.334i | 0.782918i | ||||||||
\(801\) | −796.485 | − | 98.9067i | −0.994363 | − | 0.123479i | ||||
\(802\) | −2761.05 | −3.44271 | ||||||||
\(803\) | 2353.45i | 2.93083i | ||||||||
\(804\) | −938.093 | − | 1061.79i | −1.16678 | − | 1.32063i | ||||
\(805\) | −261.585 | −0.324950 | ||||||||
\(806\) | 124.408i | 0.154352i | ||||||||
\(807\) | −153.043 | + | 135.214i | −0.189645 | + | 0.167551i | ||||
\(808\) | −1242.74 | −1.53805 | ||||||||
\(809\) | − | 1067.95i | − | 1.32008i | −0.751228 | − | 0.660042i | \(-0.770538\pi\) | ||
0.751228 | − | 0.660042i | \(-0.229462\pi\) | |||||||
\(810\) | −799.925 | − | 201.779i | −0.987562 | − | 0.249110i | ||||
\(811\) | −237.591 | −0.292960 | −0.146480 | − | 0.989214i | \(-0.546794\pi\) | ||||
−0.146480 | + | 0.989214i | \(0.546794\pi\) | |||||||
\(812\) | 3915.73i | 4.82233i | ||||||||
\(813\) | −307.117 | − | 347.613i | −0.377757 | − | 0.427568i | ||||
\(814\) | −955.332 | −1.17363 | ||||||||
\(815\) | − | 747.262i | − | 0.916886i | ||||||
\(816\) | 1371.34 | − | 1211.58i | 1.68057 | − | 1.48478i | ||||
\(817\) | 733.174 | 0.897397 | ||||||||
\(818\) | 1409.82i | 1.72350i | ||||||||
\(819\) | −84.5496 | + | 680.868i | −0.103235 | + | 0.831341i | ||||
\(820\) | 1410.07 | 1.71960 | ||||||||
\(821\) | 141.405i | 0.172235i | 0.996285 | + | 0.0861173i | \(0.0274460\pi\) | ||||
−0.996285 | + | 0.0861173i | \(0.972554\pi\) | |||||||
\(822\) | −537.605 | − | 608.493i | −0.654020 | − | 0.740259i | ||||
\(823\) | 597.748 | 0.726304 | 0.363152 | − | 0.931730i | \(-0.381701\pi\) | ||||
0.363152 | + | 0.931730i | \(0.381701\pi\) | |||||||
\(824\) | − | 3092.69i | − | 3.75326i | ||||||
\(825\) | −730.356 | + | 645.271i | −0.885280 | + | 0.782146i | ||||
\(826\) | 250.284 | 0.303007 | ||||||||
\(827\) | 474.391i | 0.573629i | 0.957986 | + | 0.286814i | \(0.0925963\pi\) | ||||
−0.957986 | + | 0.286814i | \(0.907404\pi\) | |||||||
\(828\) | −840.949 | − | 104.428i | −1.01564 | − | 0.126121i | ||||
\(829\) | −384.059 | −0.463280 | −0.231640 | − | 0.972802i | \(-0.574409\pi\) | ||||
−0.231640 | + | 0.972802i | \(0.574409\pi\) | |||||||
\(830\) | − | 279.403i | − | 0.336630i | ||||||
\(831\) | −957.952 | − | 1084.27i | −1.15277 | − | 1.30477i | ||||
\(832\) | −88.5373 | −0.106415 | ||||||||
\(833\) | 638.164i | 0.766103i | ||||||||
\(834\) | −658.239 | + | 581.555i | −0.789255 | + | 0.697308i | ||||
\(835\) | 323.218 | 0.387087 | ||||||||
\(836\) | 2825.58i | 3.37988i | ||||||||
\(837\) | 90.3744 | − | 61.8389i | 0.107974 | − | 0.0738816i | ||||
\(838\) | −616.941 | −0.736206 | ||||||||
\(839\) | − | 1.42512i | − | 0.00169860i | −1.00000 | 0.000849299i | \(-0.999730\pi\) | |||
1.00000 | 0.000849299i | \(-0.000270340\pi\) | ||||||||
\(840\) | 930.477 | + | 1053.17i | 1.10771 | + | 1.25377i | ||||
\(841\) | −1439.94 | −1.71217 | ||||||||
\(842\) | − | 766.254i | − | 0.910040i | ||||||
\(843\) | 17.7658 | − | 15.6961i | 0.0210745 | − | 0.0186193i | ||||
\(844\) | 914.243 | 1.08323 | ||||||||
\(845\) | 273.505i | 0.323675i | ||||||||
\(846\) | −9.90733 | + | 79.7827i | −0.0117108 | + | 0.0943058i | ||||
\(847\) | −2163.43 | −2.55422 | ||||||||
\(848\) | 2268.71i | 2.67537i | ||||||||
\(849\) | −679.512 | − | 769.112i | −0.800367 | − | 0.905903i | ||||
\(850\) | −1234.71 | −1.45260 | ||||||||
\(851\) | 143.423i | 0.168534i | ||||||||
\(852\) | −1949.22 | + | 1722.14i | −2.28782 | + | 2.02129i | ||||
\(853\) | 1057.46 | 1.23969 | 0.619846 | − | 0.784724i | \(-0.287195\pi\) | ||||
0.619846 | + | 0.784724i | \(0.287195\pi\) | |||||||
\(854\) | 1075.06i | 1.25885i | ||||||||
\(855\) | 409.827 | + | 50.8919i | 0.479330 | + | 0.0595227i | ||||
\(856\) | 775.818 | 0.906330 | ||||||||
\(857\) | 481.634i | 0.562000i | 0.959708 | + | 0.281000i | \(0.0906660\pi\) | ||||
−0.959708 | + | 0.281000i | \(0.909334\pi\) | |||||||
\(858\) | −1158.30 | − | 1311.04i | −1.35000 | − | 1.52802i | ||||
\(859\) | 1045.33 | 1.21691 | 0.608455 | − | 0.793589i | \(-0.291790\pi\) | ||||
0.608455 | + | 0.793589i | \(0.291790\pi\) | |||||||
\(860\) | 1151.80i | 1.33930i | ||||||||
\(861\) | −1113.17 | + | 983.488i | −1.29288 | + | 1.14226i | ||||
\(862\) | 1155.17 | 1.34010 | ||||||||
\(863\) | 240.120i | 0.278238i | 0.990276 | + | 0.139119i | \(0.0444271\pi\) | ||||
−0.990276 | + | 0.139119i | \(0.955573\pi\) | |||||||
\(864\) | 558.856 | + | 816.740i | 0.646824 | + | 0.945301i | ||||
\(865\) | −190.440 | −0.220162 | ||||||||
\(866\) | − | 311.714i | − | 0.359947i | ||||||
\(867\) | 216.921 | + | 245.524i | 0.250197 | + | 0.283188i | ||||
\(868\) | −332.530 | −0.383099 | ||||||||
\(869\) | 2632.65i | 3.02951i | ||||||||
\(870\) | −1093.60 | + | 966.195i | −1.25701 | + | 1.11057i | ||||
\(871\) | −439.122 | −0.504158 | ||||||||
\(872\) | 269.626i | 0.309204i | ||||||||
\(873\) | −18.9418 | + | 152.537i | −0.0216974 | + | 0.174727i | ||||
\(874\) | 610.437 | 0.698440 | ||||||||
\(875\) | − | 1065.34i | − | 1.21753i | ||||||
\(876\) | −2240.38 | − | 2535.79i | −2.55751 | − | 2.89474i | ||||
\(877\) | −541.206 | −0.617111 | −0.308556 | − | 0.951206i | \(-0.599846\pi\) | ||||
−0.308556 | + | 0.951206i | \(0.599846\pi\) | |||||||
\(878\) | − | 1209.39i | − | 1.37743i | ||||||
\(879\) | −132.411 | + | 116.985i | −0.150638 | + | 0.133089i | ||||
\(880\) | −1634.52 | −1.85741 | ||||||||
\(881\) | − | 167.307i | − | 0.189906i | −0.995482 | − | 0.0949528i | \(-0.969730\pi\) | ||
0.995482 | − | 0.0949528i | \(-0.0302700\pi\) | |||||||
\(882\) | −1034.23 | − | 128.429i | −1.17259 | − | 0.145611i | ||||
\(883\) | 850.375 | 0.963052 | 0.481526 | − | 0.876432i | \(-0.340083\pi\) | ||||
0.481526 | + | 0.876432i | \(0.340083\pi\) | |||||||
\(884\) | − | 1540.20i | − | 1.74231i | ||||||
\(885\) | 42.9156 | + | 48.5745i | 0.0484923 | + | 0.0548864i | ||||
\(886\) | 1824.34 | 2.05907 | ||||||||
\(887\) | − | 61.0295i | − | 0.0688044i | −0.999408 | − | 0.0344022i | \(-0.989047\pi\) | ||
0.999408 | − | 0.0344022i | \(-0.0109527\pi\) | |||||||
\(888\) | 577.436 | − | 510.165i | 0.650265 | − | 0.574511i | ||||
\(889\) | 1708.25 | 1.92154 | ||||||||
\(890\) | 908.275i | 1.02053i | ||||||||
\(891\) | −376.632 | + | 1493.11i | −0.422708 | + | 1.67576i | ||||
\(892\) | 1890.98 | 2.11993 | ||||||||
\(893\) | − | 40.2449i | − | 0.0450670i | ||||||
\(894\) | 1264.11 | + | 1430.80i | 1.41400 | + | 1.60044i | ||||
\(895\) | 592.491 | 0.662001 | ||||||||
\(896\) | 978.807i | 1.09242i | ||||||||
\(897\) | −196.824 | + | 173.895i | −0.219425 | + | 0.193862i | ||||
\(898\) | −1928.64 | −2.14771 | ||||||||
\(899\) | − | 193.701i | − | 0.215462i | ||||||
\(900\) | 172.675 | − | 1390.53i | 0.191861 | − | 1.54503i | ||||
\(901\) | −1481.10 | −1.64384 | ||||||||
\(902\) | − | 3787.48i | − | 4.19898i | ||||||
\(903\) | −803.349 | − | 909.278i | −0.889644 | − | 1.00695i | ||||
\(904\) | −14.5603 | −0.0161065 | ||||||||
\(905\) | 258.253i | 0.285362i | ||||||||
\(906\) | 1594.66 | − | 1408.88i | 1.76011 | − | 1.55506i | ||||
\(907\) | −30.5548 | −0.0336878 | −0.0168439 | − | 0.999858i | \(-0.505362\pi\) | ||||
−0.0168439 | + | 0.999858i | \(0.505362\pi\) | |||||||
\(908\) | 3696.66i | 4.07122i | ||||||||
\(909\) | 599.755 | + | 74.4770i | 0.659797 | + | 0.0819329i | ||||
\(910\) | 776.432 | 0.853222 | ||||||||
\(911\) | − | 656.020i | − | 0.720110i | −0.932931 | − | 0.360055i | \(-0.882758\pi\) | ||
0.932931 | − | 0.360055i | \(-0.117242\pi\) | |||||||
\(912\) | −990.463 | − | 1121.06i | −1.08603 | − | 1.22924i | ||||
\(913\) | −521.520 | −0.571216 | ||||||||
\(914\) | − | 188.730i | − | 0.206488i | ||||||
\(915\) | −208.645 | + | 184.338i | −0.228027 | + | 0.201462i | ||||
\(916\) | 1628.01 | 1.77731 | ||||||||
\(917\) | 1136.12i | 1.23896i | ||||||||
\(918\) | −1610.07 | + | 1101.69i | −1.75389 | + | 1.20010i | ||||
\(919\) | 213.211 | 0.232004 | 0.116002 | − | 0.993249i | \(-0.462992\pi\) | ||||
0.116002 | + | 0.993249i | \(0.462992\pi\) | |||||||
\(920\) | 537.961i | 0.584740i | ||||||||
\(921\) | 1186.13 | + | 1342.53i | 1.28787 | + | 1.45769i | ||||
\(922\) | −3005.74 | −3.26002 | ||||||||
\(923\) | 806.135i | 0.873386i | ||||||||
\(924\) | 3504.27 | − | 3096.03i | 3.79250 | − | 3.35068i | ||||
\(925\) | −237.153 | −0.256382 | ||||||||
\(926\) | 672.689i | 0.726446i | ||||||||
\(927\) | −185.343 | + | 1492.55i | −0.199939 | + | 1.61008i | ||||
\(928\) | 1750.53 | 1.88635 | ||||||||
\(929\) | − | 188.725i | − | 0.203149i | −0.994828 | − | 0.101574i | \(-0.967612\pi\) | ||
0.994828 | − | 0.101574i | \(-0.0323880\pi\) | |||||||
\(930\) | −82.0507 | − | 92.8699i | −0.0882266 | − | 0.0998601i | ||||
\(931\) | 521.696 | 0.560361 | ||||||||
\(932\) | 806.888i | 0.865760i | ||||||||
\(933\) | 66.7441 | − | 58.9685i | 0.0715371 | − | 0.0632031i | ||||
\(934\) | 3023.16 | 3.23679 | ||||||||
\(935\) | − | 1067.08i | − | 1.14126i | ||||||
\(936\) | 1400.24 | + | 173.880i | 1.49598 | + | 0.185769i | ||||
\(937\) | 1234.88 | 1.31791 | 0.658956 | − | 0.752181i | \(-0.270998\pi\) | ||||
0.658956 | + | 0.752181i | \(0.270998\pi\) | |||||||
\(938\) | − | 1689.03i | − | 1.80067i | ||||||
\(939\) | 332.215 | + | 376.021i | 0.353797 | + | 0.400449i | ||||
\(940\) | 63.2236 | 0.0672592 | ||||||||
\(941\) | − | 36.7630i | − | 0.0390680i | −0.999809 | − | 0.0195340i | \(-0.993782\pi\) | ||
0.999809 | − | 0.0195340i | \(-0.00621826\pi\) | |||||||
\(942\) | −1121.92 | + | 991.217i | −1.19100 | + | 1.05225i | ||||
\(943\) | −568.610 | −0.602980 | ||||||||
\(944\) | − | 234.788i | − | 0.248716i | ||||||
\(945\) | −385.937 | − | 564.028i | −0.408399 | − | 0.596855i | ||||
\(946\) | 3093.75 | 3.27035 | ||||||||
\(947\) | − | 22.9549i | − | 0.0242397i | −0.999927 | − | 0.0121198i | \(-0.996142\pi\) | ||
0.999927 | − | 0.0121198i | \(-0.00385795\pi\) | |||||||
\(948\) | −2506.16 | − | 2836.62i | −2.64363 | − | 2.99221i | ||||
\(949\) | −1048.72 | −1.10508 | ||||||||
\(950\) | 1009.37i | 1.06250i | ||||||||
\(951\) | 888.345 | − | 784.855i | 0.934117 | − | 0.825294i | ||||
\(952\) | 3323.31 | 3.49087 | ||||||||
\(953\) | − | 86.8265i | − | 0.0911086i | −0.998962 | − | 0.0455543i | \(-0.985495\pi\) | ||
0.998962 | − | 0.0455543i | \(-0.0145054\pi\) | |||||||
\(954\) | 298.068 | − | 2400.31i | 0.312440 | − | 2.51605i | ||||
\(955\) | 168.459 | 0.176396 | ||||||||
\(956\) | − | 1866.46i | − | 1.95237i | ||||||
\(957\) | 1803.46 | + | 2041.26i | 1.88449 | + | 2.13298i | ||||
\(958\) | 13.6149 | 0.0142118 | ||||||||
\(959\) | − | 672.643i | − | 0.701401i | ||||||
\(960\) | 66.0927 | − | 58.3930i | 0.0688466 | − | 0.0608261i | ||||
\(961\) | −944.551 | −0.982883 | ||||||||
\(962\) | − | 425.705i | − | 0.442521i | ||||||
\(963\) | −374.414 | − | 46.4944i | −0.388800 | − | 0.0482808i | ||||
\(964\) | −2329.37 | −2.41636 | ||||||||
\(965\) | 83.7832i | 0.0868220i | ||||||||
\(966\) | −668.864 | − | 757.061i | −0.692406 | − | 0.783707i | ||||
\(967\) | 1078.28 | 1.11508 | 0.557541 | − | 0.830150i | \(-0.311745\pi\) | ||||
0.557541 | + | 0.830150i | \(0.311745\pi\) | |||||||
\(968\) | 4449.19i | 4.59627i | ||||||||
\(969\) | 731.873 | − | 646.611i | 0.755287 | − | 0.667297i | ||||
\(970\) | 173.946 | 0.179326 | ||||||||
\(971\) | − | 96.3825i | − | 0.0992611i | −0.998768 | − | 0.0496305i | \(-0.984196\pi\) | ||
0.998768 | − | 0.0496305i | \(-0.0158044\pi\) | |||||||
\(972\) | −1015.55 | − | 1967.32i | −1.04481 | − | 2.02400i | ||||
\(973\) | −727.634 | −0.747825 | ||||||||
\(974\) | 1929.78i | 1.98129i | ||||||||
\(975\) | −287.539 | − | 325.454i | −0.294912 | − | 0.333799i | ||||
\(976\) | 1008.50 | 1.03330 | ||||||||
\(977\) | 127.665i | 0.130671i | 0.997863 | + | 0.0653353i | \(0.0208117\pi\) | ||||
−0.997863 | + | 0.0653353i | \(0.979188\pi\) | |||||||
\(978\) | 2162.68 | − | 1910.73i | 2.21132 | − | 1.95371i | ||||
\(979\) | 1695.35 | 1.73171 | ||||||||
\(980\) | 819.570i | 0.836296i | ||||||||
\(981\) | 16.1586 | − | 130.123i | 0.0164715 | − | 0.132643i | ||||
\(982\) | 1656.81 | 1.68718 | ||||||||
\(983\) | − | 1003.04i | − | 1.02038i | −0.860061 | − | 0.510192i | \(-0.829574\pi\) | ||
0.860061 | − | 0.510192i | \(-0.170426\pi\) | |||||||
\(984\) | 2022.59 | + | 2289.29i | 2.05548 | + | 2.32651i | ||||
\(985\) | 504.546 | 0.512229 | ||||||||
\(986\) | 3450.88i | 3.49988i | ||||||||
\(987\) | −49.9115 | + | 44.0969i | −0.0505689 | + | 0.0446777i | ||||
\(988\) | −1259.11 | −1.27440 | ||||||||
\(989\) | − | 464.461i | − | 0.469627i | ||||||
\(990\) | 1729.34 | + | 214.747i | 1.74680 | + | 0.216916i | ||||
\(991\) | −1673.44 | −1.68864 | −0.844319 | − | 0.535841i | \(-0.819995\pi\) | ||||
−0.844319 | + | 0.535841i | \(0.819995\pi\) | |||||||
\(992\) | 148.658i | 0.149857i | ||||||||
\(993\) | 516.789 | + | 584.932i | 0.520432 | + | 0.589056i | ||||
\(994\) | −3100.70 | −3.11942 | ||||||||
\(995\) | − | 177.772i | − | 0.178665i | ||||||
\(996\) | 561.927 | − | 496.463i | 0.564183 | − | 0.498457i | ||||
\(997\) | −968.793 | −0.971708 | −0.485854 | − | 0.874040i | \(-0.661491\pi\) | ||||
−0.485854 | + | 0.874040i | \(0.661491\pi\) | |||||||
\(998\) | 3034.90i | 3.04099i | ||||||||
\(999\) | −309.248 | + | 211.603i | −0.309557 | + | 0.211815i |
(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 | 177.3.b.a.119.37 | yes | 38 | |
3.2 | odd | 2 | inner | 177.3.b.a.119.2 | ✓ | 38 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.b.a.119.2 | ✓ | 38 | 3.2 | odd | 2 | inner | |
177.3.b.a.119.37 | yes | 38 | 1.1 | even | 1 | trivial |