Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,5,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.85611719437\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.20 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.20 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.324370 | + | 3.98683i | −0.0810924 | + | 0.996707i | ||||
\(3\) | 10.8623 | − | 1.91531i | 1.20692 | − | 0.212812i | 0.466231 | − | 0.884663i | \(-0.345611\pi\) |
0.740687 | + | 0.671851i | \(0.234500\pi\) | |||||||
\(4\) | −15.7896 | − | 2.58641i | −0.986848 | − | 0.161651i | ||||
\(5\) | 23.2093 | − | 19.4749i | 0.928372 | − | 0.778996i | −0.0471528 | − | 0.998888i | \(-0.515015\pi\) |
0.975524 | + | 0.219891i | \(0.0705703\pi\) | |||||||
\(6\) | 4.11262 | + | 43.9272i | 0.114239 | + | 1.22020i | ||||
\(7\) | 10.4065 | + | 6.00818i | 0.212377 | + | 0.122616i | 0.602416 | − | 0.798183i | \(-0.294205\pi\) |
−0.390039 | + | 0.920798i | \(0.627538\pi\) | |||||||
\(8\) | 15.4332 | − | 62.1113i | 0.241144 | − | 0.970489i | ||||
\(9\) | 38.2053 | − | 13.9056i | 0.471670 | − | 0.171674i | ||||
\(10\) | 70.1147 | + | 98.8485i | 0.701147 | + | 0.988485i | ||||
\(11\) | 192.168 | − | 110.948i | 1.58816 | − | 0.916926i | 0.594552 | − | 0.804057i | \(-0.297330\pi\) |
0.993610 | − | 0.112868i | \(-0.0360037\pi\) | |||||||
\(12\) | −176.464 | + | 2.14764i | −1.22545 | + | 0.0149141i | ||||
\(13\) | −14.6509 | + | 83.0894i | −0.0866918 | + | 0.491654i | 0.910287 | + | 0.413978i | \(0.135861\pi\) |
−0.996979 | + | 0.0776756i | \(0.975250\pi\) | |||||||
\(14\) | −27.3291 | + | 39.5399i | −0.139434 | + | 0.201734i | ||||
\(15\) | 214.805 | − | 255.995i | 0.954689 | − | 1.13775i | ||||
\(16\) | 242.621 | + | 81.6766i | 0.947738 | + | 0.319049i | ||||
\(17\) | −205.158 | − | 74.6714i | −0.709889 | − | 0.258378i | −0.0382618 | − | 0.999268i | \(-0.512182\pi\) |
−0.671627 | + | 0.740889i | \(0.734404\pi\) | |||||||
\(18\) | 43.0465 | + | 156.828i | 0.132860 | + | 0.484038i | ||||
\(19\) | 20.4289 | + | 360.422i | 0.0565898 | + | 0.998398i | ||||
\(20\) | −416.835 | + | 247.472i | −1.04209 | + | 0.618679i | ||||
\(21\) | 124.545 | + | 45.3308i | 0.282416 | + | 0.102791i | ||||
\(22\) | 379.997 | + | 802.127i | 0.785118 | + | 1.65729i | ||||
\(23\) | −249.894 | + | 297.812i | −0.472390 | + | 0.562972i | −0.948648 | − | 0.316333i | \(-0.897548\pi\) |
0.476258 | + | 0.879305i | \(0.341993\pi\) | |||||||
\(24\) | 48.6774 | − | 704.229i | 0.0845094 | − | 1.22262i | ||||
\(25\) | 50.8690 | − | 288.493i | 0.0813904 | − | 0.461588i | ||||
\(26\) | −326.511 | − | 85.3623i | −0.483004 | − | 0.126276i | ||||
\(27\) | −385.359 | + | 222.487i | −0.528613 | + | 0.305195i | ||||
\(28\) | −148.774 | − | 121.782i | −0.189763 | − | 0.155334i | ||||
\(29\) | 737.002 | − | 268.247i | 0.876340 | − | 0.318962i | 0.135608 | − | 0.990763i | \(-0.456701\pi\) |
0.740732 | + | 0.671801i | \(0.234479\pi\) | |||||||
\(30\) | 950.930 | + | 939.427i | 1.05659 | + | 1.04381i | ||||
\(31\) | 493.671 | + | 285.021i | 0.513705 | + | 0.296588i | 0.734355 | − | 0.678765i | \(-0.237485\pi\) |
−0.220650 | + | 0.975353i | \(0.570818\pi\) | |||||||
\(32\) | −404.329 | + | 940.794i | −0.394853 | + | 0.918744i | ||||
\(33\) | 1874.87 | − | 1573.21i | 1.72165 | − | 1.44463i | ||||
\(34\) | 364.249 | − | 793.708i | 0.315094 | − | 0.686598i | ||||
\(35\) | 358.536 | − | 63.2195i | 0.292682 | − | 0.0516077i | ||||
\(36\) | −639.210 | + | 120.749i | −0.493218 | + | 0.0931702i | ||||
\(37\) | −2110.41 | −1.54157 | −0.770784 | − | 0.637096i | \(-0.780135\pi\) | ||||
−0.770784 | + | 0.637096i | \(0.780135\pi\) | |||||||
\(38\) | −1443.56 | − | 35.4632i | −0.999698 | − | 0.0245590i | ||||
\(39\) | 930.601i | 0.611835i | ||||||||
\(40\) | −851.418 | − | 1742.12i | −0.532136 | − | 1.08883i | ||||
\(41\) | −347.497 | − | 1970.75i | −0.206721 | − | 1.17237i | −0.894709 | − | 0.446649i | \(-0.852617\pi\) |
0.687989 | − | 0.725721i | \(-0.258494\pi\) | |||||||
\(42\) | −221.125 | + | 481.837i | −0.125354 | + | 0.273150i | ||||
\(43\) | −413.160 | − | 492.385i | −0.223450 | − | 0.266298i | 0.642659 | − | 0.766152i | \(-0.277831\pi\) |
−0.866109 | + | 0.499855i | \(0.833387\pi\) | |||||||
\(44\) | −3321.20 | + | 1254.80i | −1.71550 | + | 0.648139i | ||||
\(45\) | 615.907 | − | 1066.78i | 0.304152 | − | 0.526806i | ||||
\(46\) | −1106.27 | − | 1092.89i | −0.522811 | − | 0.516487i | ||||
\(47\) | −267.419 | − | 734.727i | −0.121059 | − | 0.332606i | 0.864330 | − | 0.502924i | \(-0.167743\pi\) |
−0.985389 | + | 0.170318i | \(0.945520\pi\) | |||||||
\(48\) | 2791.85 | + | 422.499i | 1.21174 | + | 0.183376i | ||||
\(49\) | −1128.30 | − | 1954.28i | −0.469931 | − | 0.813944i | ||||
\(50\) | 1133.67 | + | 296.384i | 0.453468 | + | 0.118554i | ||||
\(51\) | −2371.50 | − | 418.159i | −0.911764 | − | 0.160769i | ||||
\(52\) | 446.235 | − | 1274.05i | 0.165028 | − | 0.471174i | ||||
\(53\) | −850.686 | − | 713.810i | −0.302843 | − | 0.254115i | 0.478683 | − | 0.877988i | \(-0.341114\pi\) |
−0.781526 | + | 0.623872i | \(0.785559\pi\) | |||||||
\(54\) | −762.019 | − | 1608.53i | −0.261323 | − | 0.551621i | ||||
\(55\) | 2299.37 | − | 6317.47i | 0.760122 | − | 2.08842i | ||||
\(56\) | 533.781 | − | 553.634i | 0.170211 | − | 0.176541i | ||||
\(57\) | 912.223 | + | 3875.87i | 0.280771 | + | 1.19294i | ||||
\(58\) | 830.393 | + | 3025.31i | 0.246847 | + | 0.899320i | ||||
\(59\) | −992.941 | + | 2728.08i | −0.285246 | + | 0.783707i | 0.711469 | + | 0.702717i | \(0.248030\pi\) |
−0.996715 | + | 0.0809893i | \(0.974192\pi\) | |||||||
\(60\) | −4053.78 | + | 3486.47i | −1.12605 | + | 0.968464i | ||||
\(61\) | 4618.07 | + | 3875.02i | 1.24108 | + | 1.04139i | 0.997439 | + | 0.0715276i | \(0.0227874\pi\) |
0.243644 | + | 0.969865i | \(0.421657\pi\) | |||||||
\(62\) | −1296.46 | + | 1875.73i | −0.337269 | + | 0.487962i | ||||
\(63\) | 481.129 | + | 84.8360i | 0.121222 | + | 0.0213747i | ||||
\(64\) | −3619.63 | − | 1917.16i | −0.883699 | − | 0.468056i | ||||
\(65\) | 1278.12 | + | 2213.77i | 0.302514 | + | 0.523970i | ||||
\(66\) | 5663.95 | + | 7985.10i | 1.30026 | + | 1.83313i | ||||
\(67\) | 1652.82 | + | 4541.08i | 0.368193 | + | 1.01160i | 0.976048 | + | 0.217554i | \(0.0698077\pi\) |
−0.607856 | + | 0.794048i | \(0.707970\pi\) | |||||||
\(68\) | 3046.22 | + | 1709.65i | 0.658785 | + | 0.369734i | ||||
\(69\) | −2144.01 | + | 3713.54i | −0.450328 | + | 0.779992i | ||||
\(70\) | 135.747 | + | 1449.93i | 0.0277035 | + | 0.295903i | ||||
\(71\) | 2832.94 | + | 3376.17i | 0.561980 | + | 0.669741i | 0.969964 | − | 0.243248i | \(-0.0782127\pi\) |
−0.407985 | + | 0.912989i | \(0.633768\pi\) | |||||||
\(72\) | −274.063 | − | 2587.59i | −0.0528671 | − | 0.499149i | ||||
\(73\) | −1315.52 | − | 7460.69i | −0.246861 | − | 1.40002i | −0.816131 | − | 0.577866i | \(-0.803885\pi\) |
0.569271 | − | 0.822150i | \(-0.307226\pi\) | |||||||
\(74\) | 684.552 | − | 8413.83i | 0.125010 | − | 1.53649i | ||||
\(75\) | − | 3231.11i | − | 0.574420i | ||||||
\(76\) | 609.634 | − | 5743.74i | 0.105546 | − | 0.994414i | ||||
\(77\) | 2666.38 | 0.449719 | ||||||||
\(78\) | −3710.14 | − | 301.859i | −0.609820 | − | 0.0496152i | ||||
\(79\) | −9930.25 | + | 1750.97i | −1.59113 | + | 0.280559i | −0.897915 | − | 0.440170i | \(-0.854918\pi\) |
−0.693217 | + | 0.720729i | \(0.743807\pi\) | |||||||
\(80\) | 7221.70 | − | 2829.36i | 1.12839 | − | 0.442088i | ||||
\(81\) | −6282.50 | + | 5271.65i | −0.957553 | + | 0.803482i | ||||
\(82\) | 7969.78 | − | 746.158i | 1.18527 | − | 0.110969i | ||||
\(83\) | −759.059 | − | 438.243i | −0.110184 | − | 0.0636148i | 0.443895 | − | 0.896079i | \(-0.353596\pi\) |
−0.554079 | + | 0.832464i | \(0.686930\pi\) | |||||||
\(84\) | −1849.27 | − | 1037.88i | −0.262085 | − | 0.147092i | ||||
\(85\) | −6215.79 | + | 2262.36i | −0.860316 | + | 0.313130i | ||||
\(86\) | 2097.07 | − | 1487.48i | 0.283541 | − | 0.201120i | ||||
\(87\) | 7491.74 | − | 4325.36i | 0.989792 | − | 0.571457i | ||||
\(88\) | −3925.36 | − | 13648.1i | −0.506890 | − | 1.76241i | ||||
\(89\) | −1270.45 | + | 7205.11i | −0.160391 | + | 0.909621i | 0.793300 | + | 0.608831i | \(0.208361\pi\) |
−0.953690 | + | 0.300790i | \(0.902750\pi\) | |||||||
\(90\) | 4053.29 | + | 2801.55i | 0.500407 | + | 0.345870i | ||||
\(91\) | −651.681 | + | 776.643i | −0.0786959 | + | 0.0937861i | ||||
\(92\) | 4715.99 | − | 4056.00i | 0.557182 | − | 0.479206i | ||||
\(93\) | 5908.28 | + | 2150.44i | 0.683118 | + | 0.248634i | ||||
\(94\) | 3015.97 | − | 827.829i | 0.341328 | − | 0.0936882i | ||||
\(95\) | 7493.32 | + | 7967.27i | 0.830284 | + | 0.882801i | ||||
\(96\) | −2590.02 | + | 10993.6i | −0.281035 | + | 1.19288i | ||||
\(97\) | −11326.8 | − | 4122.61i | −1.20382 | − | 0.438156i | −0.339266 | − | 0.940690i | \(-0.610179\pi\) |
−0.864557 | + | 0.502535i | \(0.832401\pi\) | |||||||
\(98\) | 8157.36 | − | 3864.44i | 0.849371 | − | 0.402378i | ||||
\(99\) | 5799.02 | − | 6911.00i | 0.591676 | − | 0.705132i | ||||
\(100\) | −1549.36 | + | 4423.60i | −0.154936 | + | 0.442360i | ||||
\(101\) | −2286.86 | + | 12969.4i | −0.224180 | + | 1.27139i | 0.640067 | + | 0.768319i | \(0.278907\pi\) |
−0.864247 | + | 0.503068i | \(0.832205\pi\) | |||||||
\(102\) | 2436.37 | − | 9319.11i | 0.234176 | − | 0.895724i | ||||
\(103\) | 1022.94 | − | 590.595i | 0.0964219 | − | 0.0556692i | −0.451014 | − | 0.892517i | \(-0.648937\pi\) |
0.547436 | + | 0.836848i | \(0.315604\pi\) | |||||||
\(104\) | 4934.68 | + | 2192.33i | 0.456239 | + | 0.202693i | ||||
\(105\) | 3773.42 | − | 1373.41i | 0.342261 | − | 0.124573i | ||||
\(106\) | 3121.77 | − | 3160.00i | 0.277837 | − | 0.281239i | ||||
\(107\) | −4701.25 | − | 2714.27i | −0.410626 | − | 0.237075i | 0.280433 | − | 0.959874i | \(-0.409522\pi\) |
−0.691059 | + | 0.722799i | \(0.742855\pi\) | |||||||
\(108\) | 6660.10 | − | 2516.28i | 0.570996 | − | 0.215730i | ||||
\(109\) | −10594.0 | + | 8889.40i | −0.891673 | + | 0.748203i | −0.968545 | − | 0.248838i | \(-0.919951\pi\) |
0.0768717 | + | 0.997041i | \(0.475507\pi\) | |||||||
\(110\) | 24440.8 | + | 11216.4i | 2.01990 | + | 0.926974i | ||||
\(111\) | −22923.8 | + | 4042.09i | −1.86055 | + | 0.328065i | ||||
\(112\) | 2034.10 | + | 2307.68i | 0.162157 | + | 0.183966i | ||||
\(113\) | 14765.0 | 1.15631 | 0.578157 | − | 0.815926i | \(-0.303772\pi\) | ||||
0.578157 | + | 0.815926i | \(0.303772\pi\) | |||||||
\(114\) | −15748.3 | + | 2379.66i | −1.21178 | + | 0.183107i | ||||
\(115\) | 11778.7i | 0.890637i | ||||||||
\(116\) | −12330.7 | + | 2329.31i | −0.916375 | + | 0.173106i | ||||
\(117\) | 595.665 | + | 3378.18i | 0.0435141 | + | 0.246781i | ||||
\(118\) | −10554.3 | − | 4843.59i | −0.757994 | − | 0.347859i | ||||
\(119\) | −1686.33 | − | 2009.69i | −0.119083 | − | 0.141917i | ||||
\(120\) | −12585.0 | − | 17292.6i | −0.873960 | − | 1.20088i | ||||
\(121\) | 17298.4 | − | 29961.7i | 1.18150 | − | 2.04643i | ||||
\(122\) | −16947.0 | + | 17154.5i | −1.13860 | + | 1.15255i | ||||
\(123\) | −7549.21 | − | 20741.3i | −0.498990 | − | 1.37096i | ||||
\(124\) | −7057.66 | − | 5777.19i | −0.459005 | − | 0.375728i | ||||
\(125\) | 5030.26 | + | 8712.67i | 0.321937 | + | 0.557611i | ||||
\(126\) | −494.290 | + | 1890.66i | −0.0311344 | + | 0.119089i | ||||
\(127\) | 7556.43 | + | 1332.40i | 0.468500 | + | 0.0826091i | 0.402914 | − | 0.915238i | \(-0.367997\pi\) |
0.0655856 | + | 0.997847i | \(0.479108\pi\) | |||||||
\(128\) | 8817.47 | − | 13809.0i | 0.538176 | − | 0.842833i | ||||
\(129\) | −5430.92 | − | 4557.08i | −0.326358 | − | 0.273847i | ||||
\(130\) | −9240.51 | + | 4377.57i | −0.546776 | + | 0.259028i | ||||
\(131\) | 9717.00 | − | 26697.2i | 0.566226 | − | 1.55569i | −0.244123 | − | 0.969744i | \(-0.578500\pi\) |
0.810349 | − | 0.585948i | \(-0.199278\pi\) | |||||||
\(132\) | −33672.4 | + | 19991.1i | −1.93253 | + | 1.14733i | ||||
\(133\) | −1952.88 | + | 3873.46i | −0.110401 | + | 0.218975i | ||||
\(134\) | −18640.6 | + | 5116.51i | −1.03813 | + | 0.284947i | ||||
\(135\) | −4610.99 | + | 12668.6i | −0.253004 | + | 0.695122i | ||||
\(136\) | −7804.19 | + | 11590.2i | −0.421939 | + | 0.626633i | ||||
\(137\) | −9795.09 | − | 8219.05i | −0.521876 | − | 0.437906i | 0.343409 | − | 0.939186i | \(-0.388418\pi\) |
−0.865285 | + | 0.501280i | \(0.832863\pi\) | |||||||
\(138\) | −14109.8 | − | 9752.37i | −0.740905 | − | 0.512097i | ||||
\(139\) | −2225.66 | − | 392.444i | −0.115194 | − | 0.0203118i | 0.115754 | − | 0.993278i | \(-0.463072\pi\) |
−0.230948 | + | 0.972966i | \(0.574183\pi\) | |||||||
\(140\) | −5824.63 | + | 70.8880i | −0.297175 | + | 0.00361674i | ||||
\(141\) | −4312.00 | − | 7468.61i | −0.216891 | − | 0.375666i | ||||
\(142\) | −14379.1 | + | 10199.3i | −0.713108 | + | 0.505818i | ||||
\(143\) | 6403.18 | + | 17592.6i | 0.313129 | + | 0.860315i | ||||
\(144\) | 10405.2 | − | 253.307i | 0.501792 | − | 0.0122158i | ||||
\(145\) | 11881.2 | − | 20578.9i | 0.565099 | − | 0.978781i | ||||
\(146\) | 30171.2 | − | 2824.73i | 1.41542 | − | 0.132517i | ||||
\(147\) | −15999.0 | − | 19066.8i | −0.740385 | − | 0.882357i | ||||
\(148\) | 33322.4 | + | 5458.38i | 1.52129 | + | 0.249196i | ||||
\(149\) | 1947.37 | + | 11044.1i | 0.0877154 | + | 0.497459i | 0.996738 | + | 0.0807110i | \(0.0257191\pi\) |
−0.909022 | + | 0.416748i | \(0.863170\pi\) | |||||||
\(150\) | 12881.9 | + | 1048.07i | 0.572528 | + | 0.0465811i | ||||
\(151\) | 42135.6i | 1.84797i | 0.382427 | + | 0.923986i | \(0.375088\pi\) | ||||
−0.382427 | + | 0.923986i | \(0.624912\pi\) | |||||||
\(152\) | 22701.5 | + | 4293.60i | 0.982580 | + | 0.185838i | ||||
\(153\) | −8876.46 | −0.379190 | ||||||||
\(154\) | −864.893 | + | 10630.4i | −0.0364688 | + | 0.448237i | ||||
\(155\) | 17008.5 | − | 2999.06i | 0.707950 | − | 0.124831i | ||||
\(156\) | 2406.92 | − | 14693.8i | 0.0989035 | − | 0.603788i | ||||
\(157\) | 2211.85 | − | 1855.97i | 0.0897340 | − | 0.0752958i | −0.596817 | − | 0.802377i | \(-0.703568\pi\) |
0.686551 | + | 0.727081i | \(0.259124\pi\) | |||||||
\(158\) | −3759.74 | − | 40158.1i | −0.150607 | − | 1.60864i | ||||
\(159\) | −10607.5 | − | 6124.27i | −0.419586 | − | 0.242248i | ||||
\(160\) | 8937.68 | + | 29709.4i | 0.349128 | + | 1.16053i | ||||
\(161\) | −4389.83 | + | 1597.77i | −0.169354 | + | 0.0616398i | ||||
\(162\) | −18979.3 | − | 26757.2i | −0.723186 | − | 1.01956i | ||||
\(163\) | 13088.8 | − | 7556.81i | 0.492633 | − | 0.284422i | −0.233033 | − | 0.972469i | \(-0.574865\pi\) |
0.725666 | + | 0.688047i | \(0.241532\pi\) | |||||||
\(164\) | 389.649 | + | 32016.1i | 0.0144872 | + | 1.19037i | ||||
\(165\) | 12876.5 | − | 73026.0i | 0.472964 | − | 2.68231i | ||||
\(166\) | 1993.41 | − | 2884.08i | 0.0723404 | − | 0.104663i | ||||
\(167\) | −5365.71 | + | 6394.60i | −0.192395 | + | 0.229288i | −0.853615 | − | 0.520905i | \(-0.825595\pi\) |
0.661220 | + | 0.750192i | \(0.270039\pi\) | |||||||
\(168\) | 4737.69 | − | 7036.08i | 0.167860 | − | 0.249294i | ||||
\(169\) | 20149.4 | + | 7333.77i | 0.705485 | + | 0.256776i | ||||
\(170\) | −7003.43 | − | 25515.1i | −0.242333 | − | 0.882876i | ||||
\(171\) | 5792.36 | + | 13485.9i | 0.198090 | + | 0.461199i | ||||
\(172\) | 5250.10 | + | 8843.14i | 0.177464 | + | 0.298916i | ||||
\(173\) | −11672.8 | − | 4248.55i | −0.390017 | − | 0.141954i | 0.139566 | − | 0.990213i | \(-0.455429\pi\) |
−0.529583 | + | 0.848258i | \(0.677651\pi\) | |||||||
\(174\) | 14814.4 | + | 31271.3i | 0.489310 | + | 1.03287i | ||||
\(175\) | 2262.68 | − | 2696.56i | 0.0738835 | − | 0.0880509i | ||||
\(176\) | 55685.7 | − | 11222.7i | 1.79771 | − | 0.362303i | ||||
\(177\) | −5560.46 | + | 31534.9i | −0.177486 | + | 1.00657i | ||||
\(178\) | −28313.4 | − | 7402.20i | −0.893619 | − | 0.233626i | ||||
\(179\) | 25213.1 | − | 14556.8i | 0.786902 | − | 0.454318i | −0.0519690 | − | 0.998649i | \(-0.516550\pi\) |
0.838871 | + | 0.544331i | \(0.183216\pi\) | |||||||
\(180\) | −12484.0 | + | 15251.0i | −0.385310 | + | 0.470711i | ||||
\(181\) | 35107.7 | − | 12778.1i | 1.07163 | − | 0.390041i | 0.254844 | − | 0.966982i | \(-0.417976\pi\) |
0.816786 | + | 0.576941i | \(0.195754\pi\) | |||||||
\(182\) | −2884.95 | − | 2850.06i | −0.0870956 | − | 0.0860420i | ||||
\(183\) | 57584.6 | + | 33246.5i | 1.71951 | + | 0.992758i | ||||
\(184\) | 14640.8 | + | 20117.5i | 0.432444 | + | 0.594207i | ||||
\(185\) | −48981.1 | + | 41100.0i | −1.43115 | + | 1.20088i | ||||
\(186\) | −10489.9 | + | 22857.8i | −0.303211 | + | 0.660705i | ||||
\(187\) | −47709.3 | + | 8412.44i | −1.36433 | + | 0.240569i | ||||
\(188\) | 2322.12 | + | 12292.7i | 0.0657005 | + | 0.347801i | ||||
\(189\) | −5346.97 | −0.149687 | ||||||||
\(190\) | −34194.7 | + | 27290.2i | −0.947223 | + | 0.755961i | ||||
\(191\) | 3542.43i | 0.0971033i | 0.998821 | + | 0.0485516i | \(0.0154605\pi\) | ||||
−0.998821 | + | 0.0485516i | \(0.984539\pi\) | |||||||
\(192\) | −42989.3 | − | 13891.9i | −1.16616 | − | 0.376843i | ||||
\(193\) | −7412.09 | − | 42036.0i | −0.198988 | − | 1.12851i | −0.906625 | − | 0.421938i | \(-0.861350\pi\) |
0.707637 | − | 0.706576i | \(-0.249761\pi\) | |||||||
\(194\) | 20110.2 | − | 43820.6i | 0.534334 | − | 1.16433i | ||||
\(195\) | 18123.4 | + | 21598.6i | 0.476617 | + | 0.568010i | ||||
\(196\) | 12760.9 | + | 33775.5i | 0.332176 | + | 0.879203i | ||||
\(197\) | 18716.5 | − | 32417.9i | 0.482272 | − | 0.835320i | −0.517521 | − | 0.855671i | \(-0.673145\pi\) |
0.999793 | + | 0.0203510i | \(0.00647838\pi\) | |||||||
\(198\) | 25671.9 | + | 25361.4i | 0.654829 | + | 0.646908i | ||||
\(199\) | −15573.5 | − | 42787.8i | −0.393260 | − | 1.08047i | −0.965504 | − | 0.260389i | \(-0.916149\pi\) |
0.572244 | − | 0.820083i | \(-0.306073\pi\) | |||||||
\(200\) | −17133.6 | − | 7611.91i | −0.428339 | − | 0.190298i | ||||
\(201\) | 26650.9 | + | 46160.7i | 0.659660 | + | 1.14256i | ||||
\(202\) | −50965.0 | − | 13324.2i | −1.24902 | − | 0.326541i | ||||
\(203\) | 9281.27 | + | 1636.54i | 0.225224 | + | 0.0397131i | ||||
\(204\) | 36363.4 | + | 12736.2i | 0.873784 | + | 0.306041i | ||||
\(205\) | −46445.4 | − | 38972.3i | −1.10519 | − | 0.927361i | ||||
\(206\) | 2022.79 | + | 4269.85i | 0.0476668 | + | 0.100619i | ||||
\(207\) | −5406.02 | + | 14852.9i | −0.126164 | + | 0.346634i | ||||
\(208\) | −10341.1 | + | 18962.6i | −0.239023 | + | 0.438300i | ||||
\(209\) | 43913.8 | + | 66994.8i | 1.00533 | + | 1.53373i | ||||
\(210\) | 4251.58 | + | 15489.5i | 0.0964076 | + | 0.351235i | ||||
\(211\) | 18667.1 | − | 51287.3i | 0.419287 | − | 1.15198i | −0.532824 | − | 0.846226i | \(-0.678869\pi\) |
0.952110 | − | 0.305754i | \(-0.0989086\pi\) | |||||||
\(212\) | 11585.8 | + | 13471.0i | 0.257782 | + | 0.299728i | ||||
\(213\) | 37238.5 | + | 31246.8i | 0.820793 | + | 0.688727i | ||||
\(214\) | 12346.3 | − | 17862.7i | 0.269593 | − | 0.390048i | ||||
\(215\) | −19178.3 | − | 3381.65i | −0.414890 | − | 0.0731563i | ||||
\(216\) | 7871.64 | + | 27368.9i | 0.168716 | + | 0.586610i | ||||
\(217\) | 3424.91 | + | 5932.12i | 0.0727328 | + | 0.125977i | ||||
\(218\) | −32004.1 | − | 45119.8i | −0.673431 | − | 0.949410i | ||||
\(219\) | −28579.1 | − | 78520.3i | −0.595881 | − | 1.63717i | ||||
\(220\) | −52645.6 | + | 93803.0i | −1.08772 | + | 1.93808i | ||||
\(221\) | 9210.15 | − | 15952.5i | 0.188574 | − | 0.326620i | ||||
\(222\) | −8679.30 | − | 92704.4i | −0.176108 | − | 1.88102i | ||||
\(223\) | 48515.7 | + | 57818.8i | 0.975603 | + | 1.16268i | 0.986669 | + | 0.162739i | \(0.0520329\pi\) |
−0.0110665 | + | 0.999939i | \(0.503523\pi\) | |||||||
\(224\) | −9860.10 | + | 7361.06i | −0.196510 | + | 0.146705i | ||||
\(225\) | −2068.19 | − | 11729.3i | −0.0408532 | − | 0.231690i | ||||
\(226\) | −4789.31 | + | 58865.4i | −0.0937683 | + | 1.15251i | ||||
\(227\) | − | 43948.7i | − | 0.852892i | −0.904513 | − | 0.426446i | \(-0.859765\pi\) | ||
0.904513 | − | 0.426446i | \(-0.140235\pi\) | |||||||
\(228\) | −4379.03 | − | 63557.6i | −0.0842380 | − | 1.22264i | ||||
\(229\) | 54390.3 | 1.03717 | 0.518586 | − | 0.855025i | \(-0.326459\pi\) | ||||
0.518586 | + | 0.855025i | \(0.326459\pi\) | |||||||
\(230\) | −46959.5 | − | 3820.65i | −0.887704 | − | 0.0722239i | ||||
\(231\) | 28962.9 | − | 5106.95i | 0.542774 | − | 0.0957056i | ||||
\(232\) | −5286.84 | − | 49916.1i | −0.0982246 | − | 0.927395i | ||||
\(233\) | −44455.1 | + | 37302.3i | −0.818860 | + | 0.687106i | −0.952705 | − | 0.303897i | \(-0.901712\pi\) |
0.133844 | + | 0.991002i | \(0.457268\pi\) | |||||||
\(234\) | −13661.4 | + | 1279.03i | −0.249497 | + | 0.0233588i | ||||
\(235\) | −20515.3 | − | 11844.5i | −0.371486 | − | 0.214478i | ||||
\(236\) | 22734.1 | − | 40507.1i | 0.408181 | − | 0.727289i | ||||
\(237\) | −104511. | + | 38039.0i | −1.86066 | + | 0.677224i | ||||
\(238\) | 8559.28 | − | 6071.23i | 0.151107 | − | 0.107182i | ||||
\(239\) | −47985.9 | + | 27704.6i | −0.840074 | + | 0.485017i | −0.857289 | − | 0.514835i | \(-0.827853\pi\) |
0.0172155 | + | 0.999852i | \(0.494520\pi\) | |||||||
\(240\) | 73024.9 | − | 44565.1i | 1.26779 | − | 0.773700i | ||||
\(241\) | 7172.75 | − | 40678.7i | 0.123496 | − | 0.700379i | −0.858694 | − | 0.512488i | \(-0.828724\pi\) |
0.982190 | − | 0.187891i | \(-0.0601651\pi\) | |||||||
\(242\) | 113841. | + | 78684.4i | 1.94388 | + | 1.34356i | ||||
\(243\) | −34977.4 | + | 41684.5i | −0.592346 | + | 0.705930i | ||||
\(244\) | −62894.9 | − | 73129.1i | −1.05642 | − | 1.22832i | ||||
\(245\) | −64246.5 | − | 23383.8i | −1.07033 | − | 0.389568i | ||||
\(246\) | 85140.7 | − | 23369.6i | 1.40691 | − | 0.386172i | ||||
\(247\) | −30246.5 | − | 3583.07i | −0.495772 | − | 0.0587303i | ||||
\(248\) | 25322.0 | − | 26263.7i | 0.411712 | − | 0.427025i | ||||
\(249\) | −9084.46 | − | 3306.47i | −0.146521 | − | 0.0533294i | ||||
\(250\) | −36367.6 | + | 17228.7i | −0.581881 | + | 0.275658i | ||||
\(251\) | −24631.4 | + | 29354.6i | −0.390969 | + | 0.465938i | −0.925244 | − | 0.379372i | \(-0.876140\pi\) |
0.534275 | + | 0.845310i | \(0.320585\pi\) | |||||||
\(252\) | −7377.40 | − | 2583.92i | −0.116172 | − | 0.0406891i | ||||
\(253\) | −14979.9 | + | 84955.1i | −0.234028 | + | 1.32724i | ||||
\(254\) | −7763.14 | + | 29694.0i | −0.120329 | + | 0.460258i | ||||
\(255\) | −63184.4 | + | 36479.5i | −0.971694 | + | 0.561008i | ||||
\(256\) | 52193.9 | + | 39632.9i | 0.796415 | + | 0.604751i | ||||
\(257\) | 26721.3 | − | 9725.75i | 0.404568 | − | 0.147251i | −0.131718 | − | 0.991287i | \(-0.542049\pi\) |
0.536285 | + | 0.844037i | \(0.319827\pi\) | |||||||
\(258\) | 19929.9 | − | 20174.0i | 0.299410 | − | 0.303076i | ||||
\(259\) | −21961.9 | − | 12679.7i | −0.327394 | − | 0.189021i | ||||
\(260\) | −14455.3 | − | 38260.3i | −0.213835 | − | 0.565980i | ||||
\(261\) | 24427.2 | − | 20496.9i | 0.358586 | − | 0.300889i | ||||
\(262\) | 103285. | + | 47399.7i | 1.50465 | + | 0.690516i | ||||
\(263\) | 111736. | − | 19702.0i | 1.61540 | − | 0.284839i | 0.708352 | − | 0.705859i | \(-0.249439\pi\) |
0.907052 | + | 0.421020i | \(0.138328\pi\) | |||||||
\(264\) | −68778.6 | − | 140731.i | −0.986837 | − | 2.01921i | ||||
\(265\) | −33645.2 | −0.479106 | ||||||||
\(266\) | −14809.3 | − | 9042.24i | −0.209302 | − | 0.127795i | ||||
\(267\) | 80697.1i | 1.13197i | ||||||||
\(268\) | −14352.2 | − | 75976.5i | −0.199824 | − | 1.05782i | ||||
\(269\) | 8917.39 | + | 50573.0i | 0.123235 | + | 0.698899i | 0.982341 | + | 0.187101i | \(0.0599092\pi\) |
−0.859106 | + | 0.511798i | \(0.828980\pi\) | |||||||
\(270\) | −49011.9 | − | 22492.5i | −0.672316 | − | 0.308540i | ||||
\(271\) | −54650.8 | − | 65130.2i | −0.744145 | − | 0.886838i | 0.252590 | − | 0.967573i | \(-0.418717\pi\) |
−0.996736 | + | 0.0807357i | \(0.974273\pi\) | |||||||
\(272\) | −43676.7 | − | 34873.4i | −0.590353 | − | 0.471365i | ||||
\(273\) | −5591.21 | + | 9684.27i | −0.0750207 | + | 0.129940i | ||||
\(274\) | 35945.2 | − | 36385.3i | 0.478784 | − | 0.484646i | ||||
\(275\) | −22232.3 | − | 61082.7i | −0.293981 | − | 0.807705i | ||||
\(276\) | 43457.8 | − | 53089.9i | 0.570492 | − | 0.696937i | ||||
\(277\) | −57835.5 | − | 100174.i | −0.753763 | − | 1.30556i | −0.945987 | − | 0.324204i | \(-0.894903\pi\) |
0.192224 | − | 0.981351i | \(-0.438430\pi\) | |||||||
\(278\) | 2286.54 | − | 8746.02i | 0.0295862 | − | 0.113167i | ||||
\(279\) | 22824.2 | + | 4024.52i | 0.293216 | + | 0.0517018i | ||||
\(280\) | 1606.72 | − | 23244.8i | 0.0204938 | − | 0.296490i | ||||
\(281\) | 24640.7 | + | 20676.0i | 0.312062 | + | 0.261851i | 0.785343 | − | 0.619060i | \(-0.212486\pi\) |
−0.473282 | + | 0.880911i | \(0.656931\pi\) | |||||||
\(282\) | 31174.7 | − | 14768.6i | 0.392017 | − | 0.185713i | ||||
\(283\) | −9120.44 | + | 25058.2i | −0.113879 | + | 0.312880i | −0.983519 | − | 0.180807i | \(-0.942129\pi\) |
0.869640 | + | 0.493687i | \(0.164351\pi\) | |||||||
\(284\) | −35998.7 | − | 60635.3i | −0.446324 | − | 0.751777i | ||||
\(285\) | 96654.2 | + | 72190.6i | 1.18996 | + | 0.888773i | ||||
\(286\) | −72215.6 | + | 19821.9i | −0.882874 | + | 0.242333i | ||||
\(287\) | 8224.43 | − | 22596.4i | 0.0998486 | − | 0.274332i | ||||
\(288\) | −2365.23 | + | 41565.7i | −0.0285159 | + | 0.501130i | ||||
\(289\) | −27466.8 | − | 23047.4i | −0.328862 | − | 0.275948i | ||||
\(290\) | 78190.5 | + | 54043.5i | 0.929732 | + | 0.642610i | ||||
\(291\) | −130930. | − | 23086.6i | −1.54616 | − | 0.272630i | ||||
\(292\) | 1475.09 | + | 121204.i | 0.0173003 | + | 1.42151i | ||||
\(293\) | −10590.2 | − | 18342.7i | −0.123358 | − | 0.213663i | 0.797732 | − | 0.603012i | \(-0.206033\pi\) |
−0.921090 | + | 0.389350i | \(0.872700\pi\) | |||||||
\(294\) | 81205.8 | − | 57600.5i | 0.939490 | − | 0.666394i | ||||
\(295\) | 30083.7 | + | 82654.3i | 0.345690 | + | 0.949777i | ||||
\(296\) | −32570.4 | + | 131080.i | −0.371740 | + | 1.49608i | ||||
\(297\) | −49369.0 | + | 85509.6i | −0.559682 | + | 0.969398i | ||||
\(298\) | −44662.5 | + | 4181.46i | −0.502934 | + | 0.0470864i | ||||
\(299\) | −21083.9 | − | 25126.8i | −0.235835 | − | 0.281057i | ||||
\(300\) | −8356.98 | + | 51017.9i | −0.0928554 | + | 0.566865i | ||||
\(301\) | −1341.20 | − | 7606.32i | −0.0148034 | − | 0.0839541i | ||||
\(302\) | −167987. | − | 13667.5i | −1.84189 | − | 0.149856i | ||||
\(303\) | 145257.i | 1.58217i | ||||||||
\(304\) | −24481.5 | + | 89114.4i | −0.264906 | + | 0.964274i | ||||
\(305\) | 182648. | 1.96343 | ||||||||
\(306\) | 2879.25 | − | 35388.9i | 0.0307494 | − | 0.377941i | ||||
\(307\) | 147821. | − | 26064.8i | 1.56841 | − | 0.276552i | 0.679163 | − | 0.733988i | \(-0.262343\pi\) |
0.889243 | + | 0.457435i | \(0.151232\pi\) | |||||||
\(308\) | −42101.0 | − | 6896.36i | −0.443804 | − | 0.0726973i | ||||
\(309\) | 9980.27 | − | 8374.44i | 0.104526 | − | 0.0877079i | ||||
\(310\) | 6439.68 | + | 68782.7i | 0.0670102 | + | 0.715741i | ||||
\(311\) | −6486.24 | − | 3744.83i | −0.0670614 | − | 0.0387179i | 0.466094 | − | 0.884735i | \(-0.345661\pi\) |
−0.533156 | + | 0.846017i | \(0.678994\pi\) | |||||||
\(312\) | 57800.8 | + | 14362.2i | 0.593779 | + | 0.147540i | ||||
\(313\) | −137829. | + | 50165.5i | −1.40686 | + | 0.512055i | −0.930207 | − | 0.367036i | \(-0.880373\pi\) |
−0.476653 | + | 0.879091i | \(0.658150\pi\) | |||||||
\(314\) | 6681.96 | + | 9420.30i | 0.0677711 | + | 0.0955444i | ||||
\(315\) | 12818.8 | − | 7400.96i | 0.129190 | − | 0.0745877i | ||||
\(316\) | 161323. | − | 1963.36i | 1.61556 | − | 0.0196620i | ||||
\(317\) | −11038.5 | + | 62602.7i | −0.109848 | + | 0.622980i | 0.879324 | + | 0.476223i | \(0.157995\pi\) |
−0.989173 | + | 0.146757i | \(0.953116\pi\) | |||||||
\(318\) | 27857.2 | − | 40303.9i | 0.275475 | − | 0.398559i | ||||
\(319\) | 111866. | − | 133317.i | 1.09931 | − | 1.31010i | ||||
\(320\) | −121345. | + | 25996.1i | −1.18501 | + | 0.253868i | ||||
\(321\) | −56264.9 | − | 20478.8i | −0.546044 | − | 0.198744i | ||||
\(322\) | −4946.09 | − | 18019.7i | −0.0477035 | − | 0.173795i | ||||
\(323\) | 22722.0 | − | 75468.8i | 0.217792 | − | 0.723373i | ||||
\(324\) | 112833. | − | 66987.9i | 1.07484 | − | 0.638126i | ||||
\(325\) | 23225.4 | + | 8453.36i | 0.219885 | + | 0.0800318i | ||||
\(326\) | 25882.1 | + | 54633.9i | 0.243536 | + | 0.514075i | ||||
\(327\) | −98048.6 | + | 116850.i | −0.916950 | + | 1.09278i | ||||
\(328\) | −127769. | − | 8831.61i | −1.18762 | − | 0.0820903i | ||||
\(329\) | 1631.49 | − | 9252.61i | 0.0150727 | − | 0.0854816i | ||||
\(330\) | 286965. | + | 75023.6i | 2.63513 | + | 0.688922i | ||||
\(331\) | −43434.3 | + | 25076.8i | −0.396439 | + | 0.228884i | −0.684946 | − | 0.728593i | \(-0.740174\pi\) |
0.288507 | + | 0.957478i | \(0.406841\pi\) | |||||||
\(332\) | 10851.7 | + | 8882.90i | 0.0984516 | + | 0.0805895i | ||||
\(333\) | −80628.7 | + | 29346.4i | −0.727112 | + | 0.264647i | ||||
\(334\) | −23753.7 | − | 23466.4i | −0.212931 | − | 0.210355i | ||||
\(335\) | 126798. | + | 73206.7i | 1.12985 | + | 0.652321i | ||||
\(336\) | 26514.8 | + | 21170.7i | 0.234861 | + | 0.187523i | ||||
\(337\) | 150613. | − | 126379.i | 1.32618 | − | 1.11279i | 0.341221 | − | 0.939983i | \(-0.389159\pi\) |
0.984955 | − | 0.172811i | \(-0.0552850\pi\) | |||||||
\(338\) | −35774.3 | + | 77953.1i | −0.313139 | + | 0.682339i | ||||
\(339\) | 160381. | − | 28279.5i | 1.39558 | − | 0.246078i | ||||
\(340\) | 103996. | − | 19645.1i | 0.899619 | − | 0.169941i | ||||
\(341\) | 126490. | 1.08780 | ||||||||
\(342\) | −55644.9 | + | 18718.7i | −0.475744 | + | 0.160038i | ||||
\(343\) | − | 55967.5i | − | 0.475716i | ||||||
\(344\) | −36959.0 | + | 18062.8i | −0.312323 | + | 0.152640i | ||||
\(345\) | 22559.8 | + | 127943.i | 0.189538 | + | 1.07493i | ||||
\(346\) | 20724.5 | − | 45159.3i | 0.173114 | − | 0.377221i | ||||
\(347\) | −133192. | − | 158732.i | −1.10616 | − | 1.31827i | −0.943418 | − | 0.331606i | \(-0.892410\pi\) |
−0.162745 | − | 0.986668i | \(-0.552035\pi\) | |||||||
\(348\) | −129478. | + | 48918.8i | −1.06915 | + | 0.403940i | ||||
\(349\) | 86778.8 | − | 150305.i | 0.712464 | − | 1.23402i | −0.251466 | − | 0.967866i | \(-0.580913\pi\) |
0.963930 | − | 0.266157i | \(-0.0857541\pi\) | |||||||
\(350\) | 10016.8 | + | 9895.60i | 0.0817695 | + | 0.0807804i | ||||
\(351\) | −12840.5 | − | 35278.9i | −0.104224 | − | 0.286353i | ||||
\(352\) | 26680.2 | + | 225650.i | 0.215330 | + | 1.82117i | ||||
\(353\) | −13987.8 | − | 24227.6i | −0.112253 | − | 0.194429i | 0.804425 | − | 0.594054i | \(-0.202474\pi\) |
−0.916679 | + | 0.399625i | \(0.869140\pi\) | |||||||
\(354\) | −123921. | − | 32397.6i | −0.988866 | − | 0.258527i | ||||
\(355\) | 131501. | + | 23187.2i | 1.04345 | + | 0.183989i | ||||
\(356\) | 38695.3 | − | 110480.i | 0.305322 | − | 0.871730i | ||||
\(357\) | −22166.6 | − | 18599.9i | −0.173925 | − | 0.145940i | ||||
\(358\) | 49857.1 | + | 105242.i | 0.389010 | + | 0.821152i | ||||
\(359\) | −49943.1 | + | 137218.i | −0.387513 | + | 1.06468i | 0.580604 | + | 0.814186i | \(0.302817\pi\) |
−0.968117 | + | 0.250498i | \(0.919406\pi\) | |||||||
\(360\) | −56753.8 | − | 54718.7i | −0.437915 | − | 0.422212i | ||||
\(361\) | −129486. | + | 14726.1i | −0.993595 | + | 0.112998i | ||||
\(362\) | 39556.4 | + | 144113.i | 0.301856 | + | 1.09973i | ||||
\(363\) | 130514. | − | 358584.i | 0.990475 | − | 2.72131i | ||||
\(364\) | 12298.5 | − | 10577.3i | 0.0928215 | − | 0.0798314i | ||||
\(365\) | −175828. | − | 147538.i | −1.31979 | − | 1.10743i | ||||
\(366\) | −151227. | + | 218795.i | −1.12893 | + | 1.63334i | ||||
\(367\) | 148320. | + | 26152.8i | 1.10120 | + | 0.194172i | 0.694574 | − | 0.719422i | \(-0.255593\pi\) |
0.406629 | + | 0.913593i | \(0.366704\pi\) | |||||||
\(368\) | −84953.9 | + | 51845.0i | −0.627318 | + | 0.382834i | ||||
\(369\) | −40680.7 | − | 70461.1i | −0.298769 | − | 0.517483i | ||||
\(370\) | −147971. | − | 208611.i | −1.08087 | − | 1.52382i | ||||
\(371\) | −4563.94 | − | 12539.3i | −0.0331583 | − | 0.0911016i | ||||
\(372\) | −87727.3 | − | 49235.8i | −0.633941 | − | 0.355791i | ||||
\(373\) | 76145.4 | − | 131888.i | 0.547300 | − | 0.947952i | −0.451158 | − | 0.892444i | \(-0.648989\pi\) |
0.998458 | − | 0.0555080i | \(-0.0176778\pi\) | |||||||
\(374\) | −18063.5 | − | 192938.i | −0.129139 | − | 1.37935i | ||||
\(375\) | 71327.5 | + | 85004.8i | 0.507218 | + | 0.604478i | ||||
\(376\) | −49762.0 | + | 5270.52i | −0.351983 | + | 0.0372801i | ||||
\(377\) | 11490.7 | + | 65167.2i | 0.0808472 | + | 0.458507i | ||||
\(378\) | 1734.40 | − | 21317.4i | 0.0121385 | − | 0.149194i | ||||
\(379\) | 135507.i | 0.943373i | 0.881766 | + | 0.471686i | \(0.156355\pi\) | ||||
−0.881766 | + | 0.471686i | \(0.843645\pi\) | |||||||
\(380\) | −97709.6 | − | 145181.i | −0.676659 | − | 1.00541i | ||||
\(381\) | 84631.9 | 0.583021 | ||||||||
\(382\) | −14123.0 | − | 1149.06i | −0.0967835 | − | 0.00787434i | ||||
\(383\) | −205206. | + | 36183.4i | −1.39892 | + | 0.246667i | −0.821700 | − | 0.569921i | \(-0.806974\pi\) |
−0.577221 | + | 0.816588i | \(0.695863\pi\) | |||||||
\(384\) | 69329.2 | − | 166885.i | 0.470169 | − | 1.13176i | ||||
\(385\) | 61884.8 | − | 51927.5i | 0.417506 | − | 0.350329i | ||||
\(386\) | 169995. | − | 15915.5i | 1.14093 | − | 0.106818i | ||||
\(387\) | −22631.8 | − | 13066.5i | −0.151111 | − | 0.0872441i | ||||
\(388\) | 168182. | + | 94389.9i | 1.11716 | + | 0.626992i | ||||
\(389\) | 120723. | − | 43939.6i | 0.797794 | − | 0.290373i | 0.0892218 | − | 0.996012i | \(-0.471562\pi\) |
0.708572 | + | 0.705639i | \(0.249340\pi\) | |||||||
\(390\) | −91988.4 | + | 65248.8i | −0.604789 | + | 0.428986i | ||||
\(391\) | 73505.8 | − | 42438.6i | 0.480804 | − | 0.277592i | ||||
\(392\) | −138796. | + | 39919.6i | −0.903245 | + | 0.259785i | ||||
\(393\) | 54415.1 | − | 308603.i | 0.352318 | − | 1.99809i | ||||
\(394\) | 123174. | + | 85134.8i | 0.793460 | + | 0.548422i | ||||
\(395\) | −196374. | + | 234029.i | −1.25861 | + | 1.49995i | ||||
\(396\) | −109439. | + | 94123.0i | −0.697879 | + | 0.600213i | ||||
\(397\) | −74378.3 | − | 27071.5i | −0.471917 | − | 0.171764i | 0.0951038 | − | 0.995467i | \(-0.469682\pi\) |
−0.567020 | + | 0.823704i | \(0.691904\pi\) | |||||||
\(398\) | 175639. | − | 48209.7i | 1.10880 | − | 0.304346i | ||||
\(399\) | −13793.9 | + | 45814.9i | −0.0866444 | + | 0.287780i | ||||
\(400\) | 35905.0 | − | 65839.5i | 0.224406 | − | 0.411497i | ||||
\(401\) | −91277.7 | − | 33222.4i | −0.567644 | − | 0.206606i | 0.0422245 | − | 0.999108i | \(-0.486556\pi\) |
−0.609869 | + | 0.792503i | \(0.708778\pi\) | |||||||
\(402\) | −192680. | + | 91279.4i | −1.19229 | + | 0.564834i | ||||
\(403\) | −30914.9 | + | 36843.0i | −0.190352 | + | 0.226853i | ||||
\(404\) | 69652.8 | − | 198867.i | 0.426752 | − | 1.21843i | ||||
\(405\) | −43147.6 | + | 244702.i | −0.263055 | + | 1.49186i | ||||
\(406\) | −9535.16 | + | 36472.0i | −0.0578463 | + | 0.221262i | ||||
\(407\) | −405552. | + | 234145.i | −2.44826 | + | 1.41350i | ||||
\(408\) | −62572.3 | + | 140843.i | −0.375891 | + | 0.846089i | ||||
\(409\) | 228807. | − | 83279.1i | 1.36780 | − | 0.497840i | 0.449345 | − | 0.893358i | \(-0.351657\pi\) |
0.918458 | + | 0.395519i | \(0.129435\pi\) | |||||||
\(410\) | 170441. | − | 172528.i | 1.01393 | − | 1.02634i | ||||
\(411\) | −122139. | − | 70516.9i | −0.723053 | − | 0.417455i | ||||
\(412\) | −17679.3 | + | 6679.49i | −0.104153 | + | 0.0393504i | ||||
\(413\) | −26723.8 | + | 22424.0i | −0.156675 | + | 0.131466i | ||||
\(414\) | −57462.5 | − | 26370.7i | −0.335261 | − | 0.153858i | ||||
\(415\) | −26151.9 | + | 4611.29i | −0.151848 | + | 0.0267748i | ||||
\(416\) | −72246.3 | − | 47379.0i | −0.417473 | − | 0.273778i | ||||
\(417\) | −24927.4 | −0.143352 | ||||||||
\(418\) | −281341. | + | 153346.i | −1.61020 | + | 0.877645i | ||||
\(419\) | 77765.1i | 0.442952i | 0.975166 | + | 0.221476i | \(0.0710875\pi\) | ||||
−0.975166 | + | 0.221476i | \(0.928913\pi\) | |||||||
\(420\) | −63132.9 | + | 11926.0i | −0.357896 | + | 0.0676076i | ||||
\(421\) | −27107.5 | − | 153734.i | −0.152941 | − | 0.867373i | −0.960644 | − | 0.277783i | \(-0.910400\pi\) |
0.807702 | − | 0.589590i | \(-0.200711\pi\) | |||||||
\(422\) | 198419. | + | 91058.4i | 1.11419 | + | 0.511323i | ||||
\(423\) | −20433.6 | − | 24351.8i | −0.114199 | − | 0.136098i | ||||
\(424\) | −57464.5 | + | 41820.8i | −0.319645 | + | 0.232627i | ||||
\(425\) | −31978.3 | + | 55388.1i | −0.177043 | + | 0.306647i | ||||
\(426\) | −136655. | + | 138328.i | −0.753019 | + | 0.762239i | ||||
\(427\) | 24776.0 | + | 68071.5i | 0.135886 | + | 0.373344i | ||||
\(428\) | 67210.5 | + | 55016.5i | 0.366902 | + | 0.300335i | ||||
\(429\) | 103248. | + | 178831.i | 0.561007 | + | 0.971692i | ||||
\(430\) | 19702.9 | − | 75363.6i | 0.106560 | − | 0.407591i | ||||
\(431\) | 116142. | + | 20478.9i | 0.625220 | + | 0.110243i | 0.477277 | − | 0.878753i | \(-0.341624\pi\) |
0.147943 | + | 0.988996i | \(0.452735\pi\) | |||||||
\(432\) | −111668. | + | 22505.2i | −0.598359 | + | 0.120591i | ||||
\(433\) | 12896.5 | + | 10821.4i | 0.0687853 | + | 0.0577177i | 0.676532 | − | 0.736413i | \(-0.263482\pi\) |
−0.607747 | + | 0.794131i | \(0.707926\pi\) | |||||||
\(434\) | −24761.3 | + | 11730.3i | −0.131460 | + | 0.0622774i | ||||
\(435\) | 89642.0 | − | 246289.i | 0.473732 | − | 1.30157i | ||||
\(436\) | 190266. | − | 112959.i | 1.00089 | − | 0.594223i | ||||
\(437\) | −112443. | − | 83983.2i | −0.588802 | − | 0.439774i | ||||
\(438\) | 322317. | − | 88470.2i | 1.68010 | − | 0.461157i | ||||
\(439\) | 33338.2 | − | 91595.9i | 0.172987 | − | 0.475277i | −0.822655 | − | 0.568541i | \(-0.807508\pi\) |
0.995641 | + | 0.0932642i | \(0.0297301\pi\) | |||||||
\(440\) | −356900. | − | 240316.i | −1.84349 | − | 1.24130i | ||||
\(441\) | −70282.5 | − | 58974.0i | −0.361385 | − | 0.303238i | ||||
\(442\) | 60612.2 | + | 41893.8i | 0.310252 | + | 0.214440i | ||||
\(443\) | 206906. | + | 36483.1i | 1.05430 | + | 0.185902i | 0.673828 | − | 0.738889i | \(-0.264649\pi\) |
0.380476 | + | 0.924791i | \(0.375760\pi\) | |||||||
\(444\) | 372412. | − | 4532.39i | 1.88911 | − | 0.0229912i | ||||
\(445\) | 110832. | + | 191967.i | 0.559689 | + | 0.969410i | ||||
\(446\) | −246251. | + | 174669.i | −1.23796 | + | 0.878105i | ||||
\(447\) | 42305.7 | + | 116234.i | 0.211731 | + | 0.581725i | ||||
\(448\) | −26149.0 | − | 41698.2i | −0.130286 | − | 0.207760i | ||||
\(449\) | 37431.0 | − | 64832.5i | 0.185669 | − | 0.321588i | −0.758133 | − | 0.652100i | \(-0.773888\pi\) |
0.943802 | + | 0.330512i | \(0.107221\pi\) | |||||||
\(450\) | 47433.5 | − | 4440.89i | 0.234240 | − | 0.0219303i | ||||
\(451\) | −285429. | − | 340161.i | −1.40328 | − | 1.67237i | ||||
\(452\) | −233132. | − | 38188.3i | −1.14111 | − | 0.186919i | ||||
\(453\) | 80702.7 | + | 457688.i | 0.393271 | + | 2.23035i | ||||
\(454\) | 175216. | + | 14255.6i | 0.850083 | + | 0.0691631i | ||||
\(455\) | 30716.7i | 0.148372i | ||||||||
\(456\) | 254814. | + | 3157.74i | 1.22544 | + | 0.0151861i | ||||
\(457\) | −262018. | −1.25458 | −0.627291 | − | 0.778785i | \(-0.715836\pi\) | ||||
−0.627291 | + | 0.778785i | \(0.715836\pi\) | |||||||
\(458\) | −17642.6 | + | 216845.i | −0.0841068 | + | 1.03376i | ||||
\(459\) | 95672.9 | − | 16869.7i | 0.454113 | − | 0.0800723i | ||||
\(460\) | 30464.5 | − | 185980.i | 0.143972 | − | 0.878923i | ||||
\(461\) | −173726. | + | 145773.i | −0.817452 | + | 0.685924i | −0.952374 | − | 0.304932i | \(-0.901366\pi\) |
0.134922 | + | 0.990856i | \(0.456922\pi\) | |||||||
\(462\) | 10965.8 | + | 117127.i | 0.0513756 | + | 0.548747i | ||||
\(463\) | −227548. | − | 131375.i | −1.06148 | − | 0.612845i | −0.135638 | − | 0.990758i | \(-0.543308\pi\) |
−0.925841 | + | 0.377913i | \(0.876642\pi\) | |||||||
\(464\) | 200722. | − | 4886.44i | 0.932306 | − | 0.0226964i | ||||
\(465\) | 179007. | − | 65153.1i | 0.827872 | − | 0.301321i | ||||
\(466\) | −134298. | − | 189335.i | −0.618439 | − | 0.871883i | ||||
\(467\) | −70440.3 | + | 40668.7i | −0.322989 | + | 0.186478i | −0.652724 | − | 0.757596i | \(-0.726374\pi\) |
0.329735 | + | 0.944073i | \(0.393041\pi\) | |||||||
\(468\) | −667.919 | − | 54880.7i | −0.00304952 | − | 0.250569i | ||||
\(469\) | −10083.6 | + | 57187.0i | −0.0458427 | + | 0.259987i | ||||
\(470\) | 53876.6 | − | 77949.1i | 0.243896 | − | 0.352870i | ||||
\(471\) | 20471.0 | − | 24396.4i | 0.0922778 | − | 0.109972i | ||||
\(472\) | 154121. | + | 103776.i | 0.691794 | + | 0.465814i | ||||
\(473\) | −134025. | − | 48781.1i | −0.599051 | − | 0.218037i | ||||
\(474\) | −117755. | − | 429007.i | −0.524109 | − | 1.90945i | ||||
\(475\) | 105018. | + | 12440.7i | 0.465454 | + | 0.0551388i | ||||
\(476\) | 21428.5 | + | 36093.7i | 0.0945755 | + | 0.159301i | ||||
\(477\) | −42426.6 | − | 15442.0i | −0.186467 | − | 0.0678684i | ||||
\(478\) | −94888.5 | − | 200298.i | −0.415296 | − | 0.876638i | ||||
\(479\) | 123310. | − | 146955.i | 0.537435 | − | 0.640490i | −0.427176 | − | 0.904169i | \(-0.640491\pi\) |
0.964611 | + | 0.263679i | \(0.0849359\pi\) | |||||||
\(480\) | 153986. | + | 305593.i | 0.668343 | + | 1.32636i | ||||
\(481\) | 30919.4 | − | 175353.i | 0.133641 | − | 0.757918i | ||||
\(482\) | 159852. | + | 41791.5i | 0.688058 | + | 0.179884i | ||||
\(483\) | −44623.2 | + | 25763.2i | −0.191279 | + | 0.110435i | ||||
\(484\) | −350628. | + | 428342.i | −1.49677 | + | 1.82852i | ||||
\(485\) | −343174. | + | 124905.i | −1.45892 | + | 0.531002i | ||||
\(486\) | −154843. | − | 152970.i | −0.655570 | − | 0.647640i | ||||
\(487\) | 351509. | + | 202944.i | 1.48210 | + | 0.855693i | 0.999794 | − | 0.0203075i | \(-0.00646453\pi\) |
0.482310 | + | 0.876001i | \(0.339798\pi\) | |||||||
\(488\) | 311954. | − | 227030.i | 1.30994 | − | 0.953332i | ||||
\(489\) | 127700. | − | 107153.i | 0.534040 | − | 0.448112i | ||||
\(490\) | 114067. | − | 248555.i | 0.475081 | − | 1.03521i | ||||
\(491\) | 267622. | − | 47189.0i | 1.11009 | − | 0.195739i | 0.411605 | − | 0.911362i | \(-0.364968\pi\) |
0.698486 | + | 0.715623i | \(0.253857\pi\) | |||||||
\(492\) | 65553.3 | + | 347021.i | 0.270810 | + | 1.43359i | ||||
\(493\) | −171232. | −0.704517 | ||||||||
\(494\) | 24096.2 | − | 119425.i | 0.0987402 | − | 0.489376i | ||||
\(495\) | − | 273335.i | − | 1.11554i | ||||||
\(496\) | 96495.3 | + | 109473.i | 0.392232 | + | 0.444985i | ||||
\(497\) | 9196.29 | + | 52154.8i | 0.0372306 | + | 0.211145i | ||||
\(498\) | 16129.1 | − | 35145.7i | 0.0650355 | − | 0.141714i | ||||
\(499\) | 103251. | + | 123049.i | 0.414660 | + | 0.494173i | 0.932432 | − | 0.361346i | \(-0.117683\pi\) |
−0.517772 | + | 0.855519i | \(0.673238\pi\) | |||||||
\(500\) | −56891.1 | − | 150580.i | −0.227564 | − | 0.602318i | ||||
\(501\) | −46036.1 | + | 79736.9i | −0.183410 | + | 0.317675i | ||||
\(502\) | −109042. | − | 107723.i | −0.432699 | − | 0.427465i | ||||
\(503\) | −50094.1 | − | 137632.i | −0.197993 | − | 0.543983i | 0.800471 | − | 0.599371i | \(-0.204583\pi\) |
−0.998465 | + | 0.0553883i | \(0.982360\pi\) | |||||||
\(504\) | 12694.7 | − | 28574.3i | 0.0499758 | − | 0.112490i | ||||
\(505\) | 199502. | + | 345547.i | 0.782283 | + | 1.35495i | ||||
\(506\) | −333842. | − | 87279.0i | −1.30389 | − | 0.340886i | ||||
\(507\) | 232914. | + | 41069.0i | 0.906108 | + | 0.159771i | ||||
\(508\) | −115867. | − | 40582.1i | −0.448984 | − | 0.157256i | ||||
\(509\) | 346452. | + | 290707.i | 1.33723 | + | 1.12207i | 0.982328 | + | 0.187169i | \(0.0599313\pi\) |
0.354905 | + | 0.934902i | \(0.384513\pi\) | |||||||
\(510\) | −124942. | − | 263738.i | −0.480363 | − | 1.01399i | ||||
\(511\) | 31135.2 | − | 85543.3i | 0.119237 | − | 0.327600i | ||||
\(512\) | −174940. | + | 195232.i | −0.667342 | + | 0.744751i | ||||
\(513\) | −88061.7 | − | 134347.i | −0.334620 | − | 0.510495i | ||||
\(514\) | 30107.3 | + | 109688.i | 0.113958 | + | 0.415176i | ||||
\(515\) | 12239.9 | − | 33628.9i | 0.0461492 | − | 0.126794i | ||||
\(516\) | 73965.4 | + | 86001.0i | 0.277798 | + | 0.323001i | ||||
\(517\) | −132906. | − | 111521.i | −0.497236 | − | 0.417230i | ||||
\(518\) | 57675.6 | − | 83445.4i | 0.214947 | − | 0.310987i | ||||
\(519\) | −134930. | − | 23791.9i | −0.500928 | − | 0.0883271i | ||||
\(520\) | 157226. | − | 45220.2i | 0.581456 | − | 0.167234i | ||||
\(521\) | 104185. | + | 180453.i | 0.383820 | + | 0.664797i | 0.991605 | − | 0.129306i | \(-0.0412748\pi\) |
−0.607784 | + | 0.794102i | \(0.707941\pi\) | |||||||
\(522\) | 73794.1 | + | 104036.i | 0.270820 | + | 0.381805i | ||||
\(523\) | 92365.2 | + | 253771.i | 0.337680 | + | 0.927767i | 0.986051 | + | 0.166443i | \(0.0532282\pi\) |
−0.648371 | + | 0.761324i | \(0.724550\pi\) | |||||||
\(524\) | −222477. | + | 396406.i | −0.810257 | + | 1.44370i | ||||
\(525\) | 19413.1 | − | 33624.5i | 0.0704330 | − | 0.121994i | ||||
\(526\) | 42304.9 | + | 451862.i | 0.152904 | + | 1.63318i | ||||
\(527\) | −79997.5 | − | 95337.3i | −0.288042 | − | 0.343275i | ||||
\(528\) | 583378. | − | 228559.i | 2.09258 | − | 0.819844i | ||||
\(529\) | 22348.8 | + | 126746.i | 0.0798626 | + | 0.452923i | ||||
\(530\) | 10913.5 | − | 134138.i | 0.0388519 | − | 0.477528i | ||||
\(531\) | 118035.i | 0.418620i | ||||||||
\(532\) | 40853.5 | − | 56109.2i | 0.144347 | − | 0.198249i | ||||
\(533\) | 168840. | 0.594321 | ||||||||
\(534\) | −321725. | − | 26175.7i | −1.12824 | − | 0.0917943i | ||||
\(535\) | −161973. | + | 28560.2i | −0.565894 | + | 0.0997823i | ||||
\(536\) | 307561. | − | 32575.1i | 1.07054 | − | 0.113385i | ||||
\(537\) | 245991. | − | 206411.i | 0.853042 | − | 0.715787i | ||||
\(538\) | −204518. | + | 19147.7i | −0.706590 | + | 0.0661535i | ||||
\(539\) | −433647. | − | 250366.i | −1.49265 | − | 0.861783i | ||||
\(540\) | 105572. | − | 188106.i | 0.362043 | − | 0.645082i | ||||
\(541\) | −189653. | + | 69028.1i | −0.647986 | + | 0.235847i | −0.645041 | − | 0.764148i | \(-0.723160\pi\) |
−0.00294483 | + | 0.999996i | \(0.500937\pi\) | |||||||
\(542\) | 277390. | − | 196757.i | 0.944261 | − | 0.669779i | ||||
\(543\) | 356875. | − | 206042.i | 1.21036 | − | 0.698804i | ||||
\(544\) | 153202. | − | 162820.i | 0.517685 | − | 0.550185i | ||||
\(545\) | −72758.4 | + | 412633.i | −0.244957 | + | 1.38922i | ||||
\(546\) | −36795.9 | − | 25432.5i | −0.123428 | − | 0.0853107i | ||||
\(547\) | −365860. | + | 436015.i | −1.22276 | + | 1.45723i | −0.374847 | + | 0.927087i | \(0.622305\pi\) |
−0.847911 | + | 0.530139i | \(0.822140\pi\) | |||||||
\(548\) | 133402. | + | 155109.i | 0.444224 | + | 0.516508i | ||||
\(549\) | 230319. | + | 83829.2i | 0.764161 | + | 0.278132i | ||||
\(550\) | 250738. | − | 68822.9i | 0.828885 | − | 0.227514i | ||||
\(551\) | 111738. | + | 260151.i | 0.368043 | + | 0.856886i | ||||
\(552\) | 197564. | + | 190479.i | 0.648379 | + | 0.625129i | ||||
\(553\) | −113859. | − | 41441.3i | −0.372321 | − | 0.135514i | ||||
\(554\) | 418136. | − | 198087.i | 1.36238 | − | 0.645410i | ||||
\(555\) | −453326. | + | 540253.i | −1.47172 | + | 1.75393i | ||||
\(556\) | 34127.2 | + | 11953.0i | 0.110395 | + | 0.0386658i | ||||
\(557\) | 16194.3 | − | 91842.6i | 0.0521979 | − | 0.296029i | −0.947522 | − | 0.319690i | \(-0.896421\pi\) |
0.999720 | + | 0.0236613i | \(0.00753233\pi\) | |||||||
\(558\) | −23448.5 | + | 89690.7i | −0.0753091 | + | 0.288057i | ||||
\(559\) | 46965.1 | − | 27115.3i | 0.150298 | − | 0.0867743i | ||||
\(560\) | 92151.8 | + | 13945.6i | 0.293851 | + | 0.0444694i | ||||
\(561\) | −502119. | + | 182756.i | −1.59544 | + | 0.580693i | ||||
\(562\) | −90424.3 | + | 91531.5i | −0.286294 | + | 0.289800i | ||||
\(563\) | 36497.6 | + | 21071.9i | 0.115146 | + | 0.0664793i | 0.556467 | − | 0.830870i | \(-0.312157\pi\) |
−0.441321 | + | 0.897349i | \(0.645490\pi\) | |||||||
\(564\) | 48767.8 | + | 129079.i | 0.153311 | + | 0.405785i | ||||
\(565\) | 342684. | − | 287546.i | 1.07349 | − | 0.900764i | ||||
\(566\) | −96944.3 | − | 44489.7i | −0.302614 | − | 0.138876i | ||||
\(567\) | −97051.7 | + | 17112.8i | −0.301882 | + | 0.0532299i | ||||
\(568\) | 253420. | − | 123852.i | 0.785495 | − | 0.383891i | ||||
\(569\) | −300406. | −0.927863 | −0.463931 | − | 0.885871i | \(-0.653562\pi\) | ||||
−0.463931 | + | 0.885871i | \(0.653562\pi\) | |||||||
\(570\) | −319163. | + | 361927.i | −0.982343 | + | 1.11396i | ||||
\(571\) | 239590.i | 0.734847i | 0.930054 | + | 0.367423i | \(0.119760\pi\) | ||||
−0.930054 | + | 0.367423i | \(0.880240\pi\) | |||||||
\(572\) | −55601.7 | − | 294341.i | −0.169940 | − | 0.899618i | ||||
\(573\) | 6784.84 | + | 38478.8i | 0.0206648 | + | 0.117196i | ||||
\(574\) | 87420.3 | + | 40119.0i | 0.265331 | + | 0.121766i | ||||
\(575\) | 73204.7 | + | 87242.0i | 0.221413 | + | 0.263870i | ||||
\(576\) | −164948. | − | 22912.4i | −0.497167 | − | 0.0690599i | ||||
\(577\) | −155439. | + | 269227.i | −0.466882 | + | 0.808663i | −0.999284 | − | 0.0378282i | \(-0.987956\pi\) |
0.532402 | + | 0.846491i | \(0.321289\pi\) | |||||||
\(578\) | 100795. | − | 102030.i | 0.301707 | − | 0.305401i | ||||
\(579\) | −161024. | − | 442410.i | −0.480323 | − | 1.31968i | ||||
\(580\) | −240825. | + | 294202.i | −0.715888 | + | 0.874559i | ||||
\(581\) | −5266.08 | − | 9121.12i | −0.0156004 | − | 0.0270207i | ||||
\(582\) | 134512. | − | 514508.i | 0.397114 | − | 1.51896i | ||||
\(583\) | −242670. | − | 42789.3i | −0.713969 | − | 0.125892i | ||||
\(584\) | −483696. | − | 33433.8i | −1.41823 | − | 0.0980303i | ||||
\(585\) | 79614.7 | + | 66804.7i | 0.232639 | + | 0.195207i | ||||
\(586\) | 76564.4 | − | 36271.4i | 0.222962 | − | 0.105625i | ||||
\(587\) | 62774.5 | − | 172472.i | 0.182183 | − | 0.500543i | −0.814660 | − | 0.579938i | \(-0.803077\pi\) |
0.996843 | + | 0.0793951i | \(0.0252989\pi\) | |||||||
\(588\) | 203302. | + | 342437.i | 0.588014 | + | 0.990436i | ||||
\(589\) | −92642.5 | + | 183752.i | −0.267042 | + | 0.529666i | ||||
\(590\) | −339287. | + | 93128.0i | −0.974681 | + | 0.267532i | ||||
\(591\) | 141213. | − | 387980.i | 0.404297 | − | 1.11080i | ||||
\(592\) | −512029. | − | 172371.i | −1.46100 | − | 0.491837i | ||||
\(593\) | −526352. | − | 441662.i | −1.49681 | − | 1.25597i | −0.885551 | − | 0.464543i | \(-0.846219\pi\) |
−0.611260 | − | 0.791430i | \(-0.709337\pi\) | |||||||
\(594\) | −324898. | − | 224562.i | −0.920820 | − | 0.636450i | ||||
\(595\) | −78277.1 | − | 13802.4i | −0.221106 | − | 0.0389870i | ||||
\(596\) | −2183.59 | − | 179418.i | −0.00614721 | − | 0.505095i | ||||
\(597\) | −251115. | − | 434944.i | −0.704570 | − | 1.22035i | ||||
\(598\) | 107015. | − | 75907.4i | 0.299256 | − | 0.212267i | ||||
\(599\) | −35929.8 | − | 98716.4i | −0.100139 | − | 0.275129i | 0.879500 | − | 0.475900i | \(-0.157877\pi\) |
−0.979638 | + | 0.200771i | \(0.935655\pi\) | |||||||
\(600\) | −200689. | − | 49866.5i | −0.557468 | − | 0.138518i | ||||
\(601\) | −206685. | + | 357990.i | −0.572217 | + | 0.991109i | 0.424121 | + | 0.905606i | \(0.360583\pi\) |
−0.996338 | + | 0.0855035i | \(0.972750\pi\) | |||||||
\(602\) | 30760.1 | − | 2879.87i | 0.0848780 | − | 0.00794658i | ||||
\(603\) | 126293. | + | 150510.i | 0.347331 | + | 0.413933i | ||||
\(604\) | 108980. | − | 665303.i | 0.298726 | − | 1.82367i | ||||
\(605\) | −182018. | − | 1.03228e6i | −0.497283 | − | 2.82023i | ||||
\(606\) | −579116. | − | 47117.1i | −1.57696 | − | 0.128302i | ||||
\(607\) | 109614.i | 0.297501i | 0.988875 | + | 0.148750i | \(0.0475251\pi\) | ||||
−0.988875 | + | 0.148750i | \(0.952475\pi\) | |||||||
\(608\) | −347342. | − | 126510.i | −0.939617 | − | 0.342229i | ||||
\(609\) | 103950. | 0.280279 | ||||||||
\(610\) | −59245.4 | + | 728185.i | −0.159219 | + | 1.95696i | ||||
\(611\) | 64966.0 | − | 11455.3i | 0.174022 | − | 0.0306847i | ||||
\(612\) | 140155. | + | 22958.2i | 0.374203 | + | 0.0612963i | ||||
\(613\) | 315705. | − | 264908.i | 0.840158 | − | 0.704976i | −0.117441 | − | 0.993080i | \(-0.537469\pi\) |
0.957599 | + | 0.288104i | \(0.0930248\pi\) | |||||||
\(614\) | 55967.2 | + | 597790.i | 0.148456 | + | 1.58567i | ||||
\(615\) | −579147. | − | 334370.i | −1.53122 | − | 0.884052i | ||||
\(616\) | 41150.9 | − | 165612.i | 0.108447 | − | 0.436447i | ||||
\(617\) | 634001. | − | 230757.i | 1.66540 | − | 0.606157i | 0.674205 | − | 0.738544i | \(-0.264486\pi\) |
0.991198 | + | 0.132387i | \(0.0422642\pi\) | |||||||
\(618\) | 30150.1 | + | 42506.0i | 0.0789428 | + | 0.111294i | ||||
\(619\) | 144615. | − | 83493.3i | 0.377425 | − | 0.217907i | −0.299272 | − | 0.954168i | \(-0.596744\pi\) |
0.676697 | + | 0.736261i | \(0.263411\pi\) | |||||||
\(620\) | −276314. | + | 3362.84i | −0.718818 | + | 0.00874829i | ||||
\(621\) | 30039.6 | − | 170363.i | 0.0778952 | − | 0.441766i | ||||
\(622\) | 17033.9 | − | 24644.8i | 0.0440286 | − | 0.0637008i | ||||
\(623\) | −56510.5 | + | 67346.6i | −0.145597 | + | 0.173516i | ||||
\(624\) | −76008.3 | + | 225783.i | −0.195205 | + | 0.579859i | ||||
\(625\) | 458475. | + | 166871.i | 1.17370 | + | 0.427190i | ||||
\(626\) | −155294. | − | 565771.i | −0.396283 | − | 1.44375i | ||||
\(627\) | 605319. | + | 643606.i | 1.53975 | + | 1.63714i | ||||
\(628\) | −39724.5 | + | 23584.1i | −0.100725 | + | 0.0597999i | ||||
\(629\) | 432967. | + | 157587.i | 1.09434 | + | 0.398308i | ||||
\(630\) | 25348.3 | + | 53507.1i | 0.0638657 | + | 0.134813i | ||||
\(631\) | −151223. | + | 180221.i | −0.379804 | + | 0.452633i | −0.921752 | − | 0.387779i | \(-0.873242\pi\) |
0.541948 | + | 0.840412i | \(0.317687\pi\) | |||||||
\(632\) | −44500.7 | + | 643804.i | −0.111412 | + | 1.61183i | ||||
\(633\) | 104535. | − | 592850.i | 0.260889 | − | 1.47958i | ||||
\(634\) | −246005. | − | 64315.1i | −0.612021 | − | 0.160005i | ||||
\(635\) | 201328. | − | 116237.i | 0.499294 | − | 0.288268i | ||||
\(636\) | 151649. | + | 124135.i | 0.374908 | + | 0.306888i | ||||
\(637\) | 178911. | − | 65118.1i | 0.440917 | − | 0.160481i | ||||
\(638\) | 495227. | + | 489236.i | 1.21664 | + | 1.20192i | ||||
\(639\) | 155181. | + | 89593.6i | 0.380046 | + | 0.219420i | ||||
\(640\) | −64281.2 | − | 492216.i | −0.156937 | − | 1.20170i | ||||
\(641\) | 447616. | − | 375594.i | 1.08941 | − | 0.914119i | 0.0927375 | − | 0.995691i | \(-0.470438\pi\) |
0.996668 | + | 0.0815712i | \(0.0259938\pi\) | |||||||
\(642\) | 99895.9 | − | 217676.i | 0.242369 | − | 0.528129i | ||||
\(643\) | 204321. | − | 36027.3i | 0.494186 | − | 0.0871384i | 0.0789997 | − | 0.996875i | \(-0.474827\pi\) |
0.415187 | + | 0.909736i | \(0.363716\pi\) | |||||||
\(644\) | 73445.9 | − | 13874.1i | 0.177091 | − | 0.0334529i | ||||
\(645\) | −214797. | −0.516307 | ||||||||
\(646\) | 293511. | + | 115068.i | 0.703329 | + | 0.275735i | ||||
\(647\) | − | 358343.i | − | 0.856034i | −0.903771 | − | 0.428017i | \(-0.859212\pi\) | ||
0.903771 | − | 0.428017i | \(-0.140788\pi\) | |||||||
\(648\) | 230470. | + | 471573.i | 0.548862 | + | 1.12305i | ||||
\(649\) | 111864. | + | 634414.i | 0.265584 | + | 1.50620i | ||||
\(650\) | −41235.7 | + | 89853.6i | −0.0975992 | + | 0.212671i | ||||
\(651\) | 48564.2 | + | 57876.5i | 0.114592 | + | 0.136565i | ||||
\(652\) | −226211. | + | 85465.8i | −0.532131 | + | 0.201047i | ||||
\(653\) | 127960. | − | 221634.i | 0.300088 | − | 0.519769i | −0.676067 | − | 0.736840i | \(-0.736317\pi\) |
0.976156 | + | 0.217071i | \(0.0696505\pi\) | |||||||
\(654\) | −434056. | − | 428805.i | −1.01482 | − | 1.00255i | ||||
\(655\) | −294401. | − | 808861.i | −0.686210 | − | 1.88535i | ||||
\(656\) | 76654.5 | − | 506529.i | 0.178127 | − | 1.17705i | ||||
\(657\) | −154005. | − | 266744.i | −0.356783 | − | 0.617966i | ||||
\(658\) | 36359.4 | + | 9505.72i | 0.0839778 | + | 0.0219550i | ||||
\(659\) | −218124. | − | 38461.1i | −0.502264 | − | 0.0885627i | −0.0832249 | − | 0.996531i | \(-0.526522\pi\) |
−0.419039 | + | 0.907968i | \(0.637633\pi\) | |||||||
\(660\) | −392189. | + | 1.11975e6i | −0.900342 | + | 2.57058i | ||||
\(661\) | −556133. | − | 466651.i | −1.27284 | − | 1.06804i | −0.994189 | − | 0.107652i | \(-0.965667\pi\) |
−0.278656 | − | 0.960391i | \(-0.589889\pi\) | |||||||
\(662\) | −85888.1 | − | 181299.i | −0.195982 | − | 0.413694i | ||||
\(663\) | 69489.2 | − | 190920.i | 0.158085 | − | 0.434335i | ||||
\(664\) | −38934.6 | + | 40382.6i | −0.0883078 | + | 0.0915922i | ||||
\(665\) | 30110.2 | + | 127932.i | 0.0680879 | + | 0.289293i | ||||
\(666\) | −90845.6 | − | 330972.i | −0.204812 | − | 0.746178i | ||||
\(667\) | −104285. | + | 286522.i | −0.234408 | + | 0.644030i | ||||
\(668\) | 101261. | − | 87090.1i | 0.226929 | − | 0.195171i | ||||
\(669\) | 637732. | + | 535120.i | 1.42490 | + | 1.19564i | ||||
\(670\) | −332992. | + | 481775.i | −0.741795 | + | 1.07323i | ||||
\(671\) | 1.31737e6 | + | 232288.i | 2.92592 | + | 0.515919i | ||||
\(672\) | −93004.3 | + | 98843.0i | −0.205951 | + | 0.218881i | ||||
\(673\) | 85471.3 | + | 148041.i | 0.188708 | + | 0.326852i | 0.944820 | − | 0.327591i | \(-0.106237\pi\) |
−0.756112 | + | 0.654442i | \(0.772903\pi\) | |||||||
\(674\) | 454997. | + | 641459.i | 1.00159 | + | 1.41205i | ||||
\(675\) | 44583.1 | + | 122491.i | 0.0978503 | + | 0.268842i | ||||
\(676\) | −299181. | − | 167912.i | −0.654698 | − | 0.367441i | ||||
\(677\) | −135567. | + | 234808.i | −0.295785 | + | 0.512314i | −0.975167 | − | 0.221470i | \(-0.928914\pi\) |
0.679382 | + | 0.733784i | \(0.262248\pi\) | |||||||
\(678\) | 60722.7 | + | 648584.i | 0.132097 | + | 1.41093i | ||||
\(679\) | −93102.4 | − | 110955.i | −0.201939 | − | 0.240662i | ||||
\(680\) | 44588.6 | + | 420986.i | 0.0964285 | + | 0.910437i | ||||
\(681\) | −84175.3 | − | 477382.i | −0.181506 | − | 1.02937i | ||||
\(682\) | −41029.5 | + | 504294.i | −0.0882120 | + | 1.08421i | ||||
\(683\) | 416603.i | 0.893061i | 0.894768 | + | 0.446531i | \(0.147341\pi\) | ||||
−0.894768 | + | 0.446531i | \(0.852659\pi\) | |||||||
\(684\) | −56578.7 | − | 227918.i | −0.120932 | − | 0.487155i | ||||
\(685\) | −387402. | −0.825622 | ||||||||
\(686\) | 223133. | + | 18154.2i | 0.474149 | + | 0.0385769i | ||||
\(687\) | 590802. | − | 104174.i | 1.25178 | − | 0.220723i | ||||
\(688\) | −60024.9 | − | 153208.i | −0.126810 | − | 0.323672i | ||||
\(689\) | 71773.4 | − | 60225.1i | 0.151191 | − | 0.126864i | ||||
\(690\) | −517405. | + | 48441.2i | −1.08676 | + | 0.101746i | ||||
\(691\) | −315909. | − | 182390.i | −0.661616 | − | 0.381984i | 0.131276 | − | 0.991346i | \(-0.458092\pi\) |
−0.792892 | + | 0.609362i | \(0.791426\pi\) | |||||||
\(692\) | 173320. | + | 97273.5i | 0.361940 | + | 0.203134i | ||||
\(693\) | 101870. | − | 37077.6i | 0.212119 | − | 0.0772049i | ||||
\(694\) | 676041. | − | 479526.i | 1.40363 | − | 0.995618i | ||||
\(695\) | −59298.8 | + | 34236.2i | −0.122765 | + | 0.0708787i | ||||
\(696\) | −153032. | − | 532076.i | −0.315910 | − | 1.09839i | ||||
\(697\) | −75867.2 | + | 430264.i | −0.156167 | + | 0.885665i | ||||
\(698\) | 571093. | + | 394727.i | 1.17218 | + | 0.810187i | ||||
\(699\) | −411438. | + | 490332.i | −0.842073 | + | 1.00354i | ||||
\(700\) | −42701.2 | + | 36725.3i | −0.0871453 | + | 0.0749495i | ||||
\(701\) | 9488.77 | + | 3453.63i | 0.0193096 | + | 0.00702813i | 0.351657 | − | 0.936129i | \(-0.385618\pi\) |
−0.332347 | + | 0.943157i | \(0.607841\pi\) | |||||||
\(702\) | 144816. | − | 39749.3i | 0.293861 | − | 0.0806595i | ||||
\(703\) | −43113.4 | − | 760636.i | −0.0872371 | − | 1.53910i | ||||
\(704\) | −908280. | + | 33175.5i | −1.83263 | + | 0.0669378i | ||||
\(705\) | −245529. | − | 89365.2i | −0.493997 | − | 0.179800i | ||||
\(706\) | 101128. | − | 47908.2i | 0.202891 | − | 0.0961171i | ||||
\(707\) | −101721. | + | 121226.i | −0.203503 | + | 0.242525i | ||||
\(708\) | 169360. | − | 483542.i | 0.337865 | − | 0.964645i | ||||
\(709\) | 5131.81 | − | 29103.9i | 0.0102089 | − | 0.0578974i | −0.979278 | − | 0.202522i | \(-0.935086\pi\) |
0.989487 | + | 0.144624i | \(0.0461974\pi\) | |||||||
\(710\) | −135098. | + | 516750.i | −0.267999 | + | 1.02510i | ||||
\(711\) | −355039. | + | 204982.i | −0.702324 | + | 0.405487i | ||||
\(712\) | 427912. | + | 190108.i | 0.844100 | + | 0.375007i | ||||
\(713\) | −208248. | + | 75796.1i | −0.409640 | + | 0.149097i | ||||
\(714\) | 81344.9 | − | 82340.9i | 0.159564 | − | 0.161517i | ||||
\(715\) | 491227. | + | 283610.i | 0.960882 | + | 0.554766i | ||||
\(716\) | −435754. | + | 164634.i | −0.849993 | + | 0.321139i | ||||
\(717\) | −468172. | + | 392843.i | −0.910683 | + | 0.764154i | ||||
\(718\) | −530862. | − | 243624.i | −1.02975 | − | 0.472575i | ||||
\(719\) | −151415. | + | 26698.6i | −0.292895 | + | 0.0516453i | −0.318165 | − | 0.948035i | \(-0.603067\pi\) |
0.0252699 | + | 0.999681i | \(0.491955\pi\) | |||||||
\(720\) | 236563. | − | 208519.i | 0.456333 | − | 0.402235i | ||||
\(721\) | 14193.6 | 0.0273037 | ||||||||
\(722\) | −16708.8 | − | 521016.i | −0.0320531 | − | 0.999486i | ||||
\(723\) | − | 455601.i | − | 0.871582i | ||||||
\(724\) | −587384. | + | 110959.i | −1.12059 | + | 0.211682i | ||||
\(725\) | −39896.6 | − | 226265.i | −0.0759032 | − | 0.430469i | ||||
\(726\) | 1.38728e6 | + | 636650.i | 2.63203 | + | 1.20789i | ||||
\(727\) | −40870.3 | − | 48707.3i | −0.0773284 | − | 0.0921564i | 0.725993 | − | 0.687702i | \(-0.241380\pi\) |
−0.803322 | + | 0.595546i | \(0.796936\pi\) | |||||||
\(728\) | 38180.8 | + | 52462.8i | 0.0720413 | + | 0.0989895i | ||||
\(729\) | 32054.4 | − | 55519.8i | 0.0603159 | − | 0.104470i | ||||
\(730\) | 645240. | − | 653141.i | 1.21081 | − | 1.22564i | ||||
\(731\) | 47995.9 | + | 131868.i | 0.0898193 | + | 0.246777i | ||||
\(732\) | −823246. | − | 673885.i | −1.53641 | − | 1.25766i | ||||
\(733\) | −296778. | − | 514035.i | −0.552363 | − | 0.956720i | −0.998104 | − | 0.0615580i | \(-0.980393\pi\) |
0.445741 | − | 0.895162i | \(-0.352940\pi\) | |||||||
\(734\) | −152377. | + | 582843.i | −0.282831 | + | 1.08183i | ||||
\(735\) | −742650. | − | 130949.i | −1.37470 | − | 0.242398i | ||||
\(736\) | −179140. | − | 355513.i | −0.330703 | − | 0.656297i | ||||
\(737\) | 821441. | + | 689271.i | 1.51231 | + | 1.26898i | ||||
\(738\) | 294112. | − | 139331.i | 0.540007 | − | 0.255821i | ||||
\(739\) | −111686. | + | 306854.i | −0.204507 | + | 0.561878i | −0.998967 | − | 0.0454379i | \(-0.985532\pi\) |
0.794460 | + | 0.607316i | \(0.207754\pi\) | |||||||
\(740\) | 879691. | − | 522266.i | 1.60645 | − | 0.953736i | ||||
\(741\) | −335408. | + | 19011.2i | −0.610854 | + | 0.0346236i | ||||
\(742\) | 51472.5 | − | 14128.3i | 0.0934905 | − | 0.0256614i | ||||
\(743\) | 119526. | − | 328396.i | 0.216514 | − | 0.594867i | −0.783121 | − | 0.621869i | \(-0.786374\pi\) |
0.999635 | + | 0.0270016i | \(0.00859593\pi\) | |||||||
\(744\) | 224751. | − | 333783.i | 0.406027 | − | 0.603001i | ||||
\(745\) | 260280. | + | 218400.i | 0.468951 | + | 0.393497i | ||||
\(746\) | 501114. | + | 346359.i | 0.900448 | + | 0.622370i | ||||
\(747\) | −35094.0 | − | 6188.03i | −0.0628915 | − | 0.0110895i | ||||
\(748\) | 775068. | − | 9432.87i | 1.38528 | − | 0.0168593i | ||||
\(749\) | −32615.6 | − | 56491.9i | −0.0581383 | − | 0.100698i | ||||
\(750\) | −362036. | + | 256797.i | −0.643619 | + | 0.456529i | ||||
\(751\) | −16659.5 | − | 45771.7i | −0.0295382 | − | 0.0811554i | 0.924047 | − | 0.382279i | \(-0.124861\pi\) |
−0.953585 | + | 0.301123i | \(0.902638\pi\) | |||||||
\(752\) | −4871.36 | − | 200102.i | −0.00861419 | − | 0.353847i | ||||
\(753\) | −211330. | + | 366034.i | −0.372710 | + | 0.645553i | ||||
\(754\) | −263537. | + | 24673.3i | −0.463553 | + | 0.0433995i | ||||
\(755\) | 820587. | + | 977937.i | 1.43956 | + | 1.71560i | ||||
\(756\) | 84426.4 | + | 13829.5i | 0.147718 | + | 0.0241970i | ||||
\(757\) | 107800. | + | 611367.i | 0.188117 | + | 1.06687i | 0.921884 | + | 0.387465i | \(0.126649\pi\) |
−0.733767 | + | 0.679401i | \(0.762240\pi\) | |||||||
\(758\) | −540243. | − | 43954.4i | −0.940266 | − | 0.0765004i | ||||
\(759\) | 951496.i | 1.65167i | ||||||||
\(760\) | 610504. | − | 342459.i | 1.05697 | − | 0.592900i | ||||
\(761\) | −943211. | −1.62869 | −0.814347 | − | 0.580379i | \(-0.802905\pi\) | ||||
−0.814347 | + | 0.580379i | \(0.802905\pi\) | |||||||
\(762\) | −27452.0 | + | 337413.i | −0.0472786 | + | 0.581101i | ||||
\(763\) | −163655. | + | 28856.8i | −0.281112 | + | 0.0495677i | ||||
\(764\) | 9162.17 | − | 55933.4i | 0.0156968 | − | 0.0958262i | ||||
\(765\) | −206016. | + | 172868.i | −0.352029 | + | 0.295388i | ||||
\(766\) | −77694.2 | − | 829859.i | −0.132413 | − | 1.41432i | ||||
\(767\) | −212127. | − | 122472.i | −0.360584 | − | 0.208183i | ||||
\(768\) | 642853. | + | 330536.i | 1.08991 | + | 0.560398i | ||||
\(769\) | 256533. | − | 93370.5i | 0.433802 | − | 0.157891i | −0.115883 | − | 0.993263i | \(-0.536970\pi\) |
0.549685 | + | 0.835372i | \(0.314748\pi\) | |||||||
\(770\) | 186952. | + | 263568.i | 0.315319 | + | 0.444540i | ||||
\(771\) | 271626. | − | 156823.i | 0.456943 | − | 0.263816i | ||||
\(772\) | 8311.17 | + | 682902.i | 0.0139453 | + | 1.14584i | ||||
\(773\) | 54337.7 | − | 308165.i | 0.0909374 | − | 0.515732i | −0.904979 | − | 0.425455i | \(-0.860114\pi\) |
0.995917 | − | 0.0902762i | \(-0.0287750\pi\) | |||||||
\(774\) | 59434.7 | − | 85990.6i | 0.0992107 | − | 0.143539i | ||||
\(775\) | 107339. | − | 127922.i | 0.178712 | − | 0.212981i | ||||
\(776\) | −430869. | + | 639896.i | −0.715521 | + | 1.06264i | ||||
\(777\) | −262842. | − | 95666.5i | −0.435363 | − | 0.158459i | ||||
\(778\) | 136021. | + | 495554.i | 0.224722 | + | 0.818713i | ||||
\(779\) | 703203. | − | 165506.i | 1.15879 | − | 0.272734i | ||||
\(780\) | −230297. | − | 387907.i | −0.378529 | − | 0.637585i | ||||
\(781\) | 918978. | + | 334481.i | 1.50662 | + | 0.548364i | ||||
\(782\) | 145352. | + | 306821.i | 0.237689 | + | 0.501731i | ||||
\(783\) | −224329. | + | 267345.i | −0.365900 | + | 0.436062i | ||||
\(784\) | −114131. | − | 566305.i | −0.185683 | − | 0.921337i | ||||
\(785\) | 15190.8 | − | 86151.3i | 0.0246514 | − | 0.139805i | ||||
\(786\) | 1.21270e6 | + | 317045.i | 1.96294 | + | 0.513187i | ||||
\(787\) | 111519. | − | 64385.8i | 0.180053 | − | 0.103954i | −0.407264 | − | 0.913310i | \(-0.633517\pi\) |
0.587318 | + | 0.809356i | \(0.300184\pi\) | |||||||
\(788\) | −379371. | + | 463456.i | −0.610959 | + | 0.746374i | ||||
\(789\) | 1.17597e6 | − | 428018.i | 1.88904 | − | 0.687555i | ||||
\(790\) | −869337. | − | 858821.i | −1.39295 | − | 1.37610i | ||||
\(791\) | 153651. | + | 88710.6i | 0.245574 | + | 0.141782i | ||||
\(792\) | −339754. | − | 466843.i | −0.541644 | − | 0.744254i | ||||
\(793\) | −389632. | + | 326940.i | −0.619596 | + | 0.519903i | ||||
\(794\) | 132055. | − | 287752.i | 0.209467 | − | 0.456434i | ||||
\(795\) | −365463. | + | 64441.0i | −0.578241 | + | 0.101960i | ||||
\(796\) | 135232. | + | 715880.i | 0.213428 | + | 1.12983i | ||||
\(797\) | −21093.1 | −0.0332065 | −0.0166033 | − | 0.999862i | \(-0.505285\pi\) | ||||
−0.0166033 | + | 0.999862i | \(0.505285\pi\) | |||||||
\(798\) | −178182. | − | 69854.7i | −0.279806 | − | 0.109696i | ||||
\(799\) | 170704.i | 0.267392i | ||||||||
\(800\) | 250844. | + | 164503.i | 0.391944 | + | 0.257036i | ||||
\(801\) | 51653.1 | + | 292939.i | 0.0805066 | + | 0.456576i | ||||
\(802\) | 162060. | − | 353132.i | 0.251957 | − | 0.549020i | ||||
\(803\) | −1.08055e6 | − | 1.28775e6i | −1.67577 | − | 1.99710i | ||||
\(804\) | −301416. | − | 797788.i | −0.466288 | − | 1.23417i | ||||
\(805\) | −70768.4 | + | 122574.i | −0.109206 | + | 0.189151i | ||||
\(806\) | −136859. | − | 135203.i | −0.210670 | − | 0.208122i | ||||
\(807\) | 193726. | + | 532258.i | 0.297468 | + | 0.817288i | ||||
\(808\) | 770254. | + | 342200.i | 1.17981 | + | 0.524152i | ||||
\(809\) | 156943. | + | 271834.i | 0.239798 | + | 0.415342i | 0.960656 | − | 0.277740i | \(-0.0895855\pi\) |
−0.720858 | + | 0.693083i | \(0.756252\pi\) | |||||||
\(810\) | −961590. | − | 251396.i | −1.46561 | − | 0.383167i | ||||
\(811\) | 272677. | + | 48080.2i | 0.414578 | + | 0.0731013i | 0.377047 | − | 0.926194i | \(-0.376940\pi\) |
0.0375311 | + | 0.999295i | \(0.488051\pi\) | |||||||
\(812\) | −142314. | − | 49845.4i | −0.215843 | − | 0.0755985i | ||||
\(813\) | −718376. | − | 602789.i | −1.08685 | − | 0.911977i | ||||
\(814\) | −801949. | − | 1.69281e6i | −1.21031 | − | 2.55482i | ||||
\(815\) | 156613. | − | 430291.i | 0.235783 | − | 0.647809i | ||||
\(816\) | −541221. | − | 295150.i | −0.812820 | − | 0.443264i | ||||
\(817\) | 169026. | − | 158971.i | 0.253226 | − | 0.238162i | ||||
\(818\) | 257801. | + | 939229.i | 0.385281 | + | 1.40367i | ||||
\(819\) | −14098.0 | + | 38733.8i | −0.0210179 | + | 0.0577461i | ||||
\(820\) | 632555. | + | 735483.i | 0.940742 | + | 1.09382i | ||||
\(821\) | 191538. | + | 160719.i | 0.284163 | + | 0.238441i | 0.773716 | − | 0.633532i | \(-0.218396\pi\) |
−0.489553 | + | 0.871973i | \(0.662840\pi\) | |||||||
\(822\) | 320757. | − | 464073.i | 0.474714 | − | 0.686819i | ||||
\(823\) | −896180. | − | 158021.i | −1.32311 | − | 0.233300i | −0.532921 | − | 0.846165i | \(-0.678906\pi\) |
−0.790188 | + | 0.612865i | \(0.790017\pi\) | |||||||
\(824\) | −20895.3 | − | 72650.9i | −0.0307748 | − | 0.107001i | ||||
\(825\) | −358485. | − | 620915.i | −0.526700 | − | 0.912272i | ||||
\(826\) | −80732.0 | − | 113817.i | −0.118327 | − | 0.166819i | ||||
\(827\) | −276343. | − | 759246.i | −0.404052 | − | 1.11012i | −0.960266 | − | 0.279085i | \(-0.909969\pi\) |
0.556215 | − | 0.831039i | \(-0.312253\pi\) | |||||||
\(828\) | 123774. | − | 220539.i | 0.180539 | − | 0.321680i | ||||
\(829\) | −164346. | + | 284656.i | −0.239139 | + | 0.414201i | −0.960467 | − | 0.278392i | \(-0.910199\pi\) |
0.721328 | + | 0.692593i | \(0.243532\pi\) | |||||||
\(830\) | −9901.53 | − | 105759.i | −0.0143730 | − | 0.153519i | ||||
\(831\) | −820088. | − | 977343.i | −1.18757 | − | 1.41529i | ||||
\(832\) | 212326. | − | 272665.i | 0.306731 | − | 0.393897i | ||||
\(833\) | 85551.7 | + | 485188.i | 0.123293 | + | 0.699230i | ||||
\(834\) | 8085.68 | − | 99381.0i | 0.0116248 | − | 0.142880i | ||||
\(835\) | 252911.i | 0.362739i | ||||||||
\(836\) | −520104. | − | 1.17140e6i | −0.744180 | − | 1.67607i | ||||
\(837\) | −253654. | −0.362069 | ||||||||
\(838\) | −310036. | − | 25224.7i | −0.441493 | − | 0.0359201i | ||||
\(839\) | 388910. | − | 68575.3i | 0.552490 | − | 0.0974190i | 0.109569 | − | 0.993979i | \(-0.465053\pi\) |
0.442922 | + | 0.896560i | \(0.353942\pi\) | |||||||
\(840\) | −27068.4 | − | 255568.i | −0.0383623 | − | 0.362200i | ||||
\(841\) | −70592.7 | + | 59234.3i | −0.0998086 | + | 0.0837493i | ||||
\(842\) | 621704. | − | 58206.1i | 0.876919 | − | 0.0821002i | ||||
\(843\) | 307255. | + | 177394.i | 0.432358 | + | 0.249622i | ||||
\(844\) | −427395. | + | 761524.i | −0.599991 | + | 1.06905i | ||||
\(845\) | 610477. | − | 222195.i | 0.854979 | − | 0.311187i | ||||
\(846\) | 103715. | − | 73566.2i | 0.144910 | − | 0.102787i | ||||
\(847\) | 360031. | − | 207864.i | 0.501849 | − | 0.289743i | ||||
\(848\) | −148093. | − | 242667.i | −0.205940 | − | 0.337457i | ||||
\(849\) | −51074.4 | + | 289657.i | −0.0708579 | + | 0.401855i | ||||
\(850\) | −210450. | − | 145458.i | −0.291280 | − | 0.201326i | ||||
\(851\) | 527379. | − | 628505.i | 0.728221 | − | 0.867860i | ||||
\(852\) | −507163. | − | 589688.i | −0.698664 | − | 0.812350i | ||||
\(853\) | −589948. | − | 214724.i | −0.810804 | − | 0.295108i | −0.0968480 | − | 0.995299i | \(-0.530876\pi\) |
−0.713956 | + | 0.700191i | \(0.753098\pi\) | |||||||
\(854\) | −279426. | + | 76697.3i | −0.383134 | + | 0.105163i | ||||
\(855\) | 397074. | + | 200193.i | 0.543174 | + | 0.273852i | ||||
\(856\) | −241142. | + | 250111.i | −0.329099 | + | 0.341339i | ||||
\(857\) | 187614. | + | 68285.8i | 0.255448 | + | 0.0929756i | 0.466570 | − | 0.884484i | \(-0.345489\pi\) |
−0.211122 | + | 0.977460i | \(0.567712\pi\) | |||||||
\(858\) | −746460. | + | 353625.i | −1.01399 | + | 0.480362i | ||||
\(859\) | −624670. | + | 744453.i | −0.846573 | + | 1.00891i | 0.153212 | + | 0.988193i | \(0.451038\pi\) |
−0.999785 | + | 0.0207134i | \(0.993406\pi\) | |||||||
\(860\) | 294071. | + | 102998.i | 0.397608 | + | 0.139261i | ||||
\(861\) | 46056.7 | − | 261201.i | 0.0621279 | − | 0.352345i | ||||
\(862\) | −119319. | + | 456393.i | −0.160581 | + | 0.614221i | ||||
\(863\) | −367364. | + | 212098.i | −0.493259 | + | 0.284783i | −0.725925 | − | 0.687773i | \(-0.758588\pi\) |
0.232666 | + | 0.972557i | \(0.425255\pi\) | |||||||
\(864\) | −53502.6 | − | 452502.i | −0.0716717 | − | 0.606168i | ||||
\(865\) | −353658. | + | 128721.i | −0.472662 | + | 0.172035i | ||||
\(866\) | −47326.4 | + | 47905.9i | −0.0631056 | + | 0.0638783i | ||||
\(867\) | −342495. | − | 197740.i | −0.455634 | − | 0.263060i | ||||
\(868\) | −38735.0 | − | 102524.i | −0.0514119 | − | 0.136077i | ||||
\(869\) | −1.71401e6 | + | 1.43822e6i | −2.26972 | + | 1.90452i | ||||
\(870\) | 952836. | + | 437276.i | 1.25887 | + | 0.577719i | ||||
\(871\) | −401531. | + | 70800.7i | −0.529277 | + | 0.0933258i | ||||
\(872\) | 388633. | + | 795198.i | 0.511101 | + | 1.04578i | ||||
\(873\) | −490070. | −0.643027 | ||||||||
\(874\) | 371300. | − | 421049.i | 0.486073 | − | 0.551201i | ||||
\(875\) | 120891.i | 0.157898i | ||||||||
\(876\) | 248165. | + | 1.31372e6i | 0.323395 | + | 1.71196i | ||||
\(877\) | 2306.32 | + | 13079.8i | 0.00299861 | + | 0.0170060i | 0.986270 | − | 0.165139i | \(-0.0528072\pi\) |
−0.983272 | + | 0.182145i | \(0.941696\pi\) | |||||||
\(878\) | 354363. | + | 162624.i | 0.459684 | + | 0.210958i | ||||
\(879\) | −150165. | − | 178960.i | −0.194353 | − | 0.231621i | ||||
\(880\) | 1.07387e6 | − | 1.34495e6i | 1.38671 | − | 1.73676i | ||||
\(881\) | −161117. | + | 279063.i | −0.207582 | + | 0.359542i | −0.950952 | − | 0.309338i | \(-0.899893\pi\) |
0.743370 | + | 0.668880i | \(0.233226\pi\) | |||||||
\(882\) | 257917. | − | 261075.i | 0.331545 | − | 0.335604i | ||||
\(883\) | −63461.2 | − | 174358.i | −0.0813930 | − | 0.223625i | 0.892320 | − | 0.451403i | \(-0.149076\pi\) |
−0.973713 | + | 0.227778i | \(0.926854\pi\) | |||||||
\(884\) | −186684. | + | 228061.i | −0.238892 | + | 0.291841i | ||||
\(885\) | 485086. | + | 840193.i | 0.619344 | + | 1.07274i | ||||
\(886\) | −212566. | + | 813064.i | −0.270786 | + | 1.03576i | ||||
\(887\) | −309354. | − | 54547.4i | −0.393195 | − | 0.0693309i | −0.0264446 | − | 0.999650i | \(-0.508419\pi\) |
−0.366750 | + | 0.930319i | \(0.619530\pi\) | |||||||
\(888\) | −102729. | + | 1.48621e6i | −0.130277 | + | 1.88475i | ||||
\(889\) | 70630.5 | + | 59266.0i | 0.0893694 | + | 0.0749898i | ||||
\(890\) | −801291. | + | 379601.i | −1.01160 | + | 0.479234i | ||||
\(891\) | −622415. | + | 1.71007e6i | −0.784015 | + | 2.15406i | ||||
\(892\) | −616499. | − | 1.03842e6i | −0.774824 | − | 1.30509i | ||||
\(893\) | 259348. | − | 111393.i | 0.325222 | − | 0.139687i | ||||
\(894\) | −477127. | + | 130963.i | −0.596979 | + | 0.163860i | ||||
\(895\) | 301686. | − | 828876.i | 0.376625 | − | 1.03477i | ||||
\(896\) | 174726. | − | 90725.7i | 0.217641 | − | 0.113009i | ||||
\(897\) | −277144. | − | 232552.i | −0.344446 | − | 0.289024i | ||||
\(898\) | 246334. | + | 170261.i | 0.305473 | + | 0.211136i | ||||
\(899\) | 440292. | + | 77635.4i | 0.544781 | + | 0.0960595i | ||||
\(900\) | 2319.06 | + | 190550.i | 0.00286304 | + | 0.235247i | ||||
\(901\) | 121224. | + | 209966.i | 0.149327 | + | 0.258642i | ||||
\(902\) | 1.44875e6 | − | 1.02762e6i | 1.78065 | − | 1.26304i | ||||
\(903\) | −29136.9 | − | 80053.1i | −0.0357329 | − | 0.0981754i | ||||
\(904\) | 227871. | − | 917071.i | 0.278838 | − | 1.12219i | ||||
\(905\) | 565971. | − | 980290.i | 0.691030 | − | 1.19690i | ||||
\(906\) | −1.85090e6 | + | 173288.i | −2.25490 | + | 0.211111i | ||||
\(907\) | −594019. | − | 707924.i | −0.722080 | − | 0.860542i | 0.272751 | − | 0.962085i | \(-0.412066\pi\) |
−0.994831 | + | 0.101543i | \(0.967622\pi\) | |||||||
\(908\) | −113669. | + | 693931.i | −0.137871 | + | 0.841675i | ||||
\(909\) | 92977.2 | + | 527300.i | 0.112525 | + | 0.638161i | ||||
\(910\) | −122462. | − | 9963.58i | −0.147883 | − | 0.0120319i | ||||
\(911\) | − | 211854.i | − | 0.255270i | −0.991821 | − | 0.127635i | \(-0.959261\pi\) | ||
0.991821 | − | 0.127635i | \(-0.0407387\pi\) | |||||||
\(912\) | −95243.2 | + | 1.01487e6i | −0.114510 | + | 1.22018i | ||||
\(913\) | −194489. | −0.233320 | ||||||||
\(914\) | 84990.8 | − | 1.04462e6i | 0.101737 | − | 1.25045i | ||||
\(915\) | 1.98397e6 | − | 349827.i | 2.36970 | − | 0.417841i | ||||
\(916\) | −858800. | − | 140676.i | −1.02353 | − | 0.167660i | ||||
\(917\) | 261521. | − | 219442.i | 0.311006 | − | 0.260965i | ||||
\(918\) | 36223.2 | + | 386903.i | 0.0429835 | + | 0.459110i | ||||
\(919\) | −112553. | − | 64982.7i | −0.133268 | − | 0.0769426i | 0.431884 | − | 0.901929i | \(-0.357849\pi\) |
−0.565152 | + | 0.824987i | \(0.691182\pi\) | |||||||
\(920\) | 731589. | + | 181783.i | 0.864354 | + | 0.214772i | ||||
\(921\) | 1.55574e6 | − | 566245.i | 1.83408 | − | 0.667552i | ||||
\(922\) | −524821. | − | 739899.i | −0.617376 | − | 0.870383i | ||||
\(923\) | −322029. | + | 185923.i | −0.378000 | + | 0.218238i | ||||
\(924\) | −470521. | + | 5726.42i | −0.551106 | + | 0.00670717i | ||||
\(925\) | −107354. | + | 608837.i | −0.125469 | + | 0.711570i | ||||
\(926\) | 597579. | − | 864581.i | 0.696905 | − | 1.00829i | ||||
\(927\) | 30869.1 | − | 36788.4i | 0.0359224 | − | 0.0428106i | ||||
\(928\) | −45626.6 | + | 801828.i | −0.0529813 | + | 0.931076i | ||||
\(929\) | 484937. | + | 176503.i | 0.561894 | + | 0.204513i | 0.607323 | − | 0.794455i | \(-0.292243\pi\) |
−0.0454293 | + | 0.998968i | \(0.514466\pi\) | |||||||
\(930\) | 201690. | + | 734802.i | 0.233194 | + | 0.849580i | ||||
\(931\) | 681314. | − | 446589.i | 0.786046 | − | 0.515239i | ||||
\(932\) | 798406. | − | 474008.i | 0.919162 | − | 0.545699i | ||||
\(933\) | −77627.8 | − | 28254.2i | −0.0891772 | − | 0.0324579i | ||||
\(934\) | −139290. | − | 294025.i | −0.159672 | − | 0.337047i | ||||
\(935\) | −943468. | + | 1.12438e6i | −1.07921 | + | 1.28615i | ||||
\(936\) | 219016. | + | 15138.8i | 0.249991 | + | 0.0172798i | ||||
\(937\) | −46885.5 | + | 265901.i | −0.0534023 | + | 0.302859i | −0.999797 | − | 0.0201534i | \(-0.993585\pi\) |
0.946395 | + | 0.323013i | \(0.104696\pi\) | |||||||
\(938\) | −224724. | − | 58751.4i | −0.255413 | − | 0.0667748i | ||||
\(939\) | −1.40105e6 | + | 808896.i | −1.58899 | + | 0.917406i | ||||
\(940\) | 293293. | + | 240081.i | 0.331930 | + | 0.271708i | ||||
\(941\) | 426576. | − | 155261.i | 0.481745 | − | 0.175341i | −0.0897202 | − | 0.995967i | \(-0.528597\pi\) |
0.571466 | + | 0.820626i | \(0.306375\pi\) | |||||||
\(942\) | 90623.9 | + | 89527.7i | 0.102127 | + | 0.100892i | ||||
\(943\) | 673753. | + | 388991.i | 0.757665 | + | 0.437438i | ||||
\(944\) | −463729. | + | 580790.i | −0.520380 | + | 0.651741i | ||||
\(945\) | −124099. | + | 104132.i | −0.138965 | + | 0.116606i | ||||
\(946\) | 237955. | − | 518511.i | 0.265897 | − | 0.579396i | ||||
\(947\) | 1.31802e6 | − | 232402.i | 1.46967 | − | 0.259143i | 0.619229 | − | 0.785210i | \(-0.287445\pi\) |
0.850443 | + | 0.526067i | \(0.176334\pi\) | |||||||
\(948\) | 1.74857e6 | − | 330310.i | 1.94566 | − | 0.367541i | ||||
\(949\) | 639178. | 0.709724 | ||||||||
\(950\) | −83663.6 | + | 414654.i | −0.0927020 | + | 0.459450i | ||||
\(951\) | 701149.i | 0.775263i | ||||||||
\(952\) | −150850. | + | 73724.2i | −0.166445 | + | 0.0813460i | ||||
\(953\) | −128264. | − | 727422.i | −0.141228 | − | 0.800942i | −0.970319 | − | 0.241828i | \(-0.922253\pi\) |
0.829091 | − | 0.559113i | \(-0.188858\pi\) | |||||||
\(954\) | 75326.6 | − | 164139.i | 0.0827659 | − | 0.180349i | ||||
\(955\) | 68988.4 | + | 82217.2i | 0.0756431 | + | 0.0901479i | ||||
\(956\) | 829332. | − | 313333.i | 0.907429 | − | 0.342839i | ||||
\(957\) | 959779. | − | 1.66239e6i | 1.04797 | − | 1.81513i | ||||
\(958\) | 545885. | + | 539281.i | 0.594798 | + | 0.587604i | ||||
\(959\) | −52550.8 | − | 144382.i | −0.0571402 | − | 0.156991i | ||||
\(960\) | −1.26830e6 | + | 514791.i | −1.37619 | + | 0.558584i | ||||
\(961\) | −299287. | − | 518380.i | −0.324071 | − | 0.561308i | ||||
\(962\) | 689071. | + | 180149.i | 0.744584 | + | 0.194663i | ||||
\(963\) | −217356. | − | 38325.7i | −0.234379 | − | 0.0413274i | ||||
\(964\) | −218467. | + | 623748.i | −0.235088 | + | 0.671204i | ||||
\(965\) | −990677. | − | 831277.i | −1.06384 | − | 0.892670i | ||||
\(966\) | −88239.1 | − | 186262.i | −0.0945599 | − | 0.199604i | ||||
\(967\) | 34351.2 | − | 94379.2i | 0.0367358 | − | 0.100931i | −0.919969 | − | 0.391992i | \(-0.871786\pi\) |
0.956704 | + | 0.291061i | \(0.0940083\pi\) | |||||||
\(968\) | −1.59399e6 | − | 1.53683e6i | −1.70112 | − | 1.64012i | ||||
\(969\) | 102266. | − | 863281.i | 0.108914 | − | 0.919401i | ||||
\(970\) | −386660. | − | 1.40869e6i | −0.410946 | − | 1.49717i | ||||
\(971\) | −565293. | + | 1.55313e6i | −0.599563 | + | 1.64729i | 0.152584 | + | 0.988290i | \(0.451240\pi\) |
−0.752147 | + | 0.658995i | \(0.770982\pi\) | |||||||
\(972\) | 660092. | − | 567714.i | 0.698669 | − | 0.600893i | ||||
\(973\) | −20803.4 | − | 17456.1i | −0.0219740 | − | 0.0184383i | ||||
\(974\) | −923121. | + | 1.33558e6i | −0.973062 | + | 1.40783i | ||||
\(975\) | 268471. | + | 47338.7i | 0.282416 | + | 0.0497975i | ||||
\(976\) | 803942. | + | 1.31735e6i | 0.843966 | + | 1.38293i | ||||
\(977\) | −340639. | − | 590004.i | −0.356866 | − | 0.618110i | 0.630569 | − | 0.776133i | \(-0.282821\pi\) |
−0.987436 | + | 0.158023i | \(0.949488\pi\) | |||||||
\(978\) | 385779. | + | 543875.i | 0.403330 | + | 0.568619i | ||||
\(979\) | 555252. | + | 1.52554e6i | 0.579328 | + | 1.59169i | ||||
\(980\) | 953945. | + | 535388.i | 0.993279 | + | 0.557464i | ||||
\(981\) | −281133. | + | 486937.i | −0.292129 | + | 0.505982i | ||||
\(982\) | 101326. | + | 1.08227e6i | 0.105074 | + | 1.12231i | ||||
\(983\) | 176853. | + | 210765.i | 0.183023 | + | 0.218118i | 0.849753 | − | 0.527181i | \(-0.176751\pi\) |
−0.666730 | + | 0.745299i | \(0.732307\pi\) | |||||||
\(984\) | −1.40478e6 | + | 148786.i | −1.45083 | + | 0.153664i | ||||
\(985\) | −196939. | − | 1.11690e6i | −0.202983 | − | 1.15117i | ||||
\(986\) | 55542.5 | − | 682673.i | 0.0571310 | − | 0.702197i | ||||
\(987\) | − | 103629.i | − | 0.106377i | ||||||
\(988\) | 468312. | + | 134805.i | 0.479757 | + | 0.138100i | ||||
\(989\) | 249884. | 0.255474 | ||||||||
\(990\) | 1.08974e6 | + | 88661.5i | 1.11186 | + | 0.0904617i | ||||
\(991\) | 650942. | − | 114779.i | 0.662819 | − | 0.116873i | 0.167889 | − | 0.985806i | \(-0.446305\pi\) |
0.494930 | + | 0.868933i | \(0.335194\pi\) | |||||||
\(992\) | −467752. | + | 349200.i | −0.475326 | + | 0.354855i | ||||
\(993\) | −423765. | + | 355581.i | −0.429760 | + | 0.360612i | ||||
\(994\) | −210915. | + | 19746.6i | −0.213469 | + | 0.0199857i | ||||
\(995\) | −1.19474e6 | − | 689782.i | −1.20677 | − | 0.696732i | ||||
\(996\) | 134888. | + | 75704.0i | 0.135973 | + | 0.0763133i | ||||
\(997\) | −1.55684e6 | + | 566642.i | −1.56622 | + | 0.570057i | −0.972150 | − | 0.234358i | \(-0.924701\pi\) |
−0.594068 | + | 0.804415i | \(0.702479\pi\) | |||||||
\(998\) | −524068. | + | 371729.i | −0.526171 | + | 0.373221i | ||||
\(999\) | 813265. | − | 469539.i | 0.814894 | − | 0.470479i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 76.5.l.a.23.20 | ✓ | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.27 | yes | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.27 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.20 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.20 | ✓ | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.23.27 | yes | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.43.20 | yes | 228 | 76.43 | odd | 18 | inner | |
76.5.l.a.43.27 | yes | 228 | 19.5 | even | 9 | inner |