Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [135,4,Mod(2,135)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(135, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 9]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("135.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 135 = 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 135.q (of order \(36\), degree \(12\), 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: | \(7.96525785077\) |
Analytic rank: | \(0\) |
Dimension: | \(624\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 113.9 | ||
Character | \(\chi\) | \(=\) | 135.113 |
Dual form | 135.4.q.a.92.9 |
$q$-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 \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(82\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.06508 | − | 0.355649i | −1.43722 | − | 0.125741i | −0.658251 | − | 0.752799i | \(-0.728703\pi\) |
−0.778973 | + | 0.627058i | \(0.784259\pi\) | |||||||
\(3\) | 5.18369 | − | 0.359649i | 0.997602 | − | 0.0692146i | ||||
\(4\) | 8.51994 | + | 1.50230i | 1.06499 | + | 0.187787i | ||||
\(5\) | 10.6854 | + | 3.28964i | 0.955733 | + | 0.294234i | ||||
\(6\) | −21.2000 | − | 0.381568i | −1.44248 | − | 0.0259624i | ||||
\(7\) | 8.64567 | + | 6.05376i | 0.466822 | + | 0.326872i | 0.783210 | − | 0.621758i | \(-0.213581\pi\) |
−0.316388 | + | 0.948630i | \(0.602470\pi\) | |||||||
\(8\) | −2.56745 | − | 0.687946i | −0.113466 | − | 0.0304032i | ||||
\(9\) | 26.7413 | − | 3.72862i | 0.990419 | − | 0.138097i | ||||
\(10\) | −42.2672 | − | 17.1729i | −1.33661 | − | 0.543055i | ||||
\(11\) | −16.2525 | + | 44.6534i | −0.445483 | + | 1.22396i | 0.490354 | + | 0.871523i | \(0.336868\pi\) |
−0.935837 | + | 0.352432i | \(0.885355\pi\) | |||||||
\(12\) | 44.7051 | + | 4.72325i | 1.07544 | + | 0.113624i | ||||
\(13\) | −2.14767 | − | 24.5480i | −0.0458198 | − | 0.523722i | −0.984072 | − | 0.177770i | \(-0.943112\pi\) |
0.938252 | − | 0.345952i | \(-0.112444\pi\) | |||||||
\(14\) | −32.9923 | − | 27.6839i | −0.629827 | − | 0.528487i | ||||
\(15\) | 56.5730 | + | 13.2095i | 0.973807 | + | 0.227378i | ||||
\(16\) | −54.8449 | − | 19.9619i | −0.856951 | − | 0.311905i | ||||
\(17\) | −103.542 | + | 27.7441i | −1.47722 | + | 0.395819i | −0.905399 | − | 0.424561i | \(-0.860429\pi\) |
−0.571819 | + | 0.820380i | \(0.693762\pi\) | |||||||
\(18\) | −110.032 | + | 5.64665i | −1.44082 | + | 0.0739404i | ||||
\(19\) | 75.6711 | − | 43.6887i | 0.913692 | − | 0.527520i | 0.0320747 | − | 0.999485i | \(-0.489789\pi\) |
0.881617 | + | 0.471965i | \(0.156455\pi\) | |||||||
\(20\) | 86.0972 | + | 44.0802i | 0.962596 | + | 0.492832i | ||||
\(21\) | 46.9937 | + | 28.2714i | 0.488327 | + | 0.293778i | ||||
\(22\) | 81.9487 | − | 175.740i | 0.794160 | − | 1.70308i | ||||
\(23\) | 109.172 | + | 155.914i | 0.989738 | + | 1.41349i | 0.909019 | + | 0.416755i | \(0.136833\pi\) |
0.0807189 | + | 0.996737i | \(0.474278\pi\) | |||||||
\(24\) | −13.5563 | − | 2.64272i | −0.115298 | − | 0.0224768i | ||||
\(25\) | 103.357 | + | 70.3024i | 0.826852 | + | 0.562419i | ||||
\(26\) | 100.553i | 0.758468i | ||||||||
\(27\) | 137.278 | − | 28.9455i | 0.978485 | − | 0.206317i | ||||
\(28\) | 64.5661 | + | 64.5661i | 0.435780 | + | 0.435780i | ||||
\(29\) | 23.0797 | − | 19.3662i | 0.147786 | − | 0.124007i | −0.565897 | − | 0.824476i | \(-0.691470\pi\) |
0.713683 | + | 0.700469i | \(0.247026\pi\) | |||||||
\(30\) | −225.276 | − | 73.8177i | −1.37099 | − | 0.449240i | ||||
\(31\) | 32.5604 | − | 184.659i | 0.188646 | − | 1.06986i | −0.732536 | − | 0.680729i | \(-0.761663\pi\) |
0.921181 | − | 0.389134i | \(-0.127226\pi\) | |||||||
\(32\) | 235.121 | + | 109.639i | 1.29887 | + | 0.605675i | ||||
\(33\) | −68.1884 | + | 237.315i | −0.359700 | + | 1.25185i | ||||
\(34\) | 430.775 | − | 75.9573i | 2.17286 | − | 0.383134i | ||||
\(35\) | 72.4679 | + | 93.1281i | 0.349980 | + | 0.449758i | ||||
\(36\) | 233.436 | + | 8.40570i | 1.08072 | + | 0.0389153i | ||||
\(37\) | 115.412 | + | 430.725i | 0.512803 | + | 1.91381i | 0.388122 | + | 0.921608i | \(0.373124\pi\) |
0.124681 | + | 0.992197i | \(0.460209\pi\) | |||||||
\(38\) | −323.147 | + | 150.686i | −1.37951 | + | 0.643276i | ||||
\(39\) | −19.9615 | − | 126.477i | −0.0819591 | − | 0.519295i | ||||
\(40\) | −25.1712 | − | 15.7970i | −0.0994978 | − | 0.0624430i | ||||
\(41\) | 103.289 | − | 123.095i | 0.393440 | − | 0.468883i | −0.532568 | − | 0.846387i | \(-0.678773\pi\) |
0.926008 | + | 0.377504i | \(0.123217\pi\) | |||||||
\(42\) | −180.979 | − | 131.639i | −0.664895 | − | 0.483627i | ||||
\(43\) | −118.982 | − | 255.157i | −0.421966 | − | 0.904908i | −0.996272 | − | 0.0862677i | \(-0.972506\pi\) |
0.574306 | − | 0.818640i | \(-0.305272\pi\) | |||||||
\(44\) | −205.553 | + | 356.029i | −0.704280 | + | 1.21985i | ||||
\(45\) | 298.008 | + | 48.1274i | 0.987209 | + | 0.159431i | ||||
\(46\) | −388.343 | − | 672.630i | −1.24474 | − | 2.15595i | ||||
\(47\) | 83.6116 | − | 119.410i | 0.259490 | − | 0.370590i | −0.668175 | − | 0.744004i | \(-0.732924\pi\) |
0.927665 | + | 0.373415i | \(0.121813\pi\) | |||||||
\(48\) | −291.478 | − | 83.7514i | −0.876484 | − | 0.251843i | ||||
\(49\) | −79.2134 | − | 217.637i | −0.230943 | − | 0.634510i | ||||
\(50\) | −395.150 | − | 322.544i | −1.11765 | − | 0.912291i | ||||
\(51\) | −526.753 | + | 181.056i | −1.44628 | + | 0.497115i | ||||
\(52\) | 18.5803 | − | 212.374i | 0.0495505 | − | 0.566365i | ||||
\(53\) | −173.961 | + | 173.961i | −0.450857 | + | 0.450857i | −0.895639 | − | 0.444782i | \(-0.853281\pi\) |
0.444782 | + | 0.895639i | \(0.353281\pi\) | |||||||
\(54\) | −568.339 | + | 68.8433i | −1.43224 | + | 0.173489i | ||||
\(55\) | −320.559 | + | 423.676i | −0.785893 | + | 1.03870i | ||||
\(56\) | −18.0326 | − | 21.4905i | −0.0430306 | − | 0.0512819i | ||||
\(57\) | 376.543 | − | 253.684i | 0.874989 | − | 0.589496i | ||||
\(58\) | −100.708 | + | 70.5168i | −0.227994 | + | 0.159643i | ||||
\(59\) | 206.014 | − | 74.9828i | 0.454588 | − | 0.165457i | −0.104570 | − | 0.994518i | \(-0.533347\pi\) |
0.559158 | + | 0.829061i | \(0.311124\pi\) | |||||||
\(60\) | 462.155 | + | 197.533i | 0.994398 | + | 0.425024i | ||||
\(61\) | −66.4674 | − | 376.955i | −0.139513 | − | 0.791216i | −0.971610 | − | 0.236587i | \(-0.923971\pi\) |
0.832098 | − | 0.554629i | \(-0.187140\pi\) | |||||||
\(62\) | −198.034 | + | 739.074i | −0.405651 | + | 1.51391i | ||||
\(63\) | 253.769 | + | 129.649i | 0.507490 | + | 0.259274i | ||||
\(64\) | −512.432 | − | 295.853i | −1.00084 | − | 0.577837i | ||||
\(65\) | 57.8053 | − | 269.371i | 0.110306 | − | 0.514021i | ||||
\(66\) | 361.592 | − | 940.453i | 0.674378 | − | 1.75397i | ||||
\(67\) | −310.789 | + | 27.1905i | −0.566700 | + | 0.0495799i | −0.366906 | − | 0.930258i | \(-0.619583\pi\) |
−0.199794 | + | 0.979838i | \(0.564027\pi\) | |||||||
\(68\) | −923.855 | + | 80.8268i | −1.64756 | + | 0.144143i | ||||
\(69\) | 621.989 | + | 768.946i | 1.08520 | + | 1.34160i | ||||
\(70\) | −261.467 | − | 404.347i | −0.446447 | − | 0.690410i | ||||
\(71\) | −560.835 | − | 323.798i | −0.937448 | − | 0.541236i | −0.0482888 | − | 0.998833i | \(-0.515377\pi\) |
−0.889160 | + | 0.457597i | \(0.848710\pi\) | |||||||
\(72\) | −71.2220 | − | 8.82352i | −0.116578 | − | 0.0144425i | ||||
\(73\) | −122.139 | + | 455.828i | −0.195825 | + | 0.730830i | 0.796226 | + | 0.604999i | \(0.206826\pi\) |
−0.992052 | + | 0.125831i | \(0.959840\pi\) | |||||||
\(74\) | −315.974 | − | 1791.98i | −0.496369 | − | 2.81505i | ||||
\(75\) | 561.053 | + | 327.254i | 0.863797 | + | 0.503840i | ||||
\(76\) | 710.347 | − | 258.545i | 1.07214 | − | 0.390226i | ||||
\(77\) | −410.835 | + | 287.670i | −0.608039 | + | 0.425753i | ||||
\(78\) | 36.1640 | + | 521.238i | 0.0524970 | + | 0.756649i | ||||
\(79\) | 513.840 | + | 612.371i | 0.731792 | + | 0.872115i | 0.995719 | − | 0.0924270i | \(-0.0294625\pi\) |
−0.263928 | + | 0.964542i | \(0.585018\pi\) | |||||||
\(80\) | −520.373 | − | 393.721i | −0.727244 | − | 0.550242i | ||||
\(81\) | 701.195 | − | 199.416i | 0.961858 | − | 0.273548i | ||||
\(82\) | −463.657 | + | 463.657i | −0.624419 | + | 0.624419i | ||||
\(83\) | 43.5085 | − | 497.304i | 0.0575382 | − | 0.657665i | −0.911589 | − | 0.411103i | \(-0.865144\pi\) |
0.969127 | − | 0.246562i | \(-0.0793009\pi\) | |||||||
\(84\) | 357.912 | + | 311.469i | 0.464897 | + | 0.404573i | ||||
\(85\) | −1197.66 | − | 44.1598i | −1.52829 | − | 0.0563506i | ||||
\(86\) | 392.924 | + | 1079.55i | 0.492675 | + | 1.35361i | ||||
\(87\) | 112.673 | − | 108.689i | 0.138848 | − | 0.133939i | ||||
\(88\) | 72.4466 | − | 103.464i | 0.0877595 | − | 0.125334i | ||||
\(89\) | −159.941 | − | 277.025i | −0.190491 | − | 0.329940i | 0.754922 | − | 0.655814i | \(-0.227675\pi\) |
−0.945413 | + | 0.325875i | \(0.894341\pi\) | |||||||
\(90\) | −1194.31 | − | 301.628i | −1.39879 | − | 0.353271i | ||||
\(91\) | 130.040 | − | 225.235i | 0.149801 | − | 0.259462i | ||||
\(92\) | 695.912 | + | 1492.39i | 0.788628 | + | 1.69122i | ||||
\(93\) | 102.370 | − | 968.926i | 0.114143 | − | 1.08035i | ||||
\(94\) | −382.356 | + | 455.674i | −0.419543 | + | 0.499992i | ||||
\(95\) | 952.298 | − | 217.902i | 1.02846 | − | 0.235329i | ||||
\(96\) | 1258.23 | + | 483.773i | 1.33768 | + | 0.514321i | ||||
\(97\) | 713.165 | − | 332.554i | 0.746505 | − | 0.348101i | −0.0118614 | − | 0.999930i | \(-0.503776\pi\) |
0.758366 | + | 0.651829i | \(0.225998\pi\) | |||||||
\(98\) | 244.607 | + | 912.884i | 0.252133 | + | 0.940972i | ||||
\(99\) | −268.118 | + | 1254.69i | −0.272190 | + | 1.27375i | ||||
\(100\) | 774.977 | + | 754.245i | 0.774977 | + | 0.754245i | ||||
\(101\) | 402.009 | − | 70.8850i | 0.396053 | − | 0.0698349i | 0.0279253 | − | 0.999610i | \(-0.491110\pi\) |
0.368128 | + | 0.929775i | \(0.379999\pi\) | |||||||
\(102\) | 2205.69 | − | 548.667i | 2.14113 | − | 0.532609i | ||||
\(103\) | −35.0380 | − | 16.3385i | −0.0335184 | − | 0.0156299i | 0.405787 | − | 0.913968i | \(-0.366998\pi\) |
−0.439305 | + | 0.898338i | \(0.644775\pi\) | |||||||
\(104\) | −11.3737 | + | 64.5032i | −0.0107238 | + | 0.0608179i | ||||
\(105\) | 409.145 | + | 456.684i | 0.380271 | + | 0.424456i | ||||
\(106\) | 769.036 | − | 645.298i | 0.704673 | − | 0.591291i | ||||
\(107\) | −886.569 | − | 886.569i | −0.801008 | − | 0.801008i | 0.182245 | − | 0.983253i | \(-0.441664\pi\) |
−0.983253 | + | 0.182245i | \(0.941664\pi\) | |||||||
\(108\) | 1213.08 | − | 40.3825i | 1.08082 | − | 0.0359797i | ||||
\(109\) | − | 898.015i | − | 0.789122i | −0.918870 | − | 0.394561i | \(-0.870897\pi\) | ||
0.918870 | − | 0.394561i | \(-0.129103\pi\) | |||||||
\(110\) | 1453.78 | − | 1608.27i | 1.26011 | − | 1.39402i | ||||
\(111\) | 753.173 | + | 2191.24i | 0.644036 | + | 1.87372i | ||||
\(112\) | −353.326 | − | 504.602i | −0.298091 | − | 0.425718i | ||||
\(113\) | −136.126 | + | 291.924i | −0.113325 | + | 0.243025i | −0.954787 | − | 0.297290i | \(-0.903917\pi\) |
0.841463 | + | 0.540315i | \(0.181695\pi\) | |||||||
\(114\) | −1620.90 | + | 897.329i | −1.33168 | + | 0.737216i | ||||
\(115\) | 653.650 | + | 2025.14i | 0.530027 | + | 1.64214i | ||||
\(116\) | 225.732 | − | 130.326i | 0.180678 | − | 0.104314i | ||||
\(117\) | −148.962 | − | 648.438i | −0.117705 | − | 0.512377i | ||||
\(118\) | −864.130 | + | 231.543i | −0.674149 | + | 0.180638i | ||||
\(119\) | −1063.15 | − | 386.955i | −0.818981 | − | 0.298085i | ||||
\(120\) | −136.161 | − | 72.8338i | −0.103581 | − | 0.0554066i | ||||
\(121\) | −710.179 | − | 595.911i | −0.533568 | − | 0.447716i | ||||
\(122\) | 136.132 | + | 1555.99i | 0.101023 | + | 1.15470i | ||||
\(123\) | 491.147 | − | 675.235i | 0.360043 | − | 0.494991i | ||||
\(124\) | 554.825 | − | 1524.37i | 0.401813 | − | 1.10397i | ||||
\(125\) | 873.139 | + | 1091.22i | 0.624767 | + | 0.780811i | ||||
\(126\) | −985.481 | − | 617.287i | −0.696775 | − | 0.436446i | ||||
\(127\) | −1463.94 | − | 392.261i | −1.02286 | − | 0.274075i | −0.291867 | − | 0.956459i | \(-0.594277\pi\) |
−0.730994 | + | 0.682384i | \(0.760943\pi\) | |||||||
\(128\) | 277.773 | + | 194.499i | 0.191812 | + | 0.134308i | ||||
\(129\) | −708.531 | − | 1279.86i | −0.483586 | − | 0.873532i | ||||
\(130\) | −330.785 | + | 1074.46i | −0.223167 | + | 0.724893i | ||||
\(131\) | −792.510 | − | 139.741i | −0.528564 | − | 0.0932002i | −0.0970036 | − | 0.995284i | \(-0.530926\pi\) |
−0.431561 | + | 0.902084i | \(0.642037\pi\) | |||||||
\(132\) | −937.479 | + | 1919.47i | −0.618159 | + | 1.26567i | ||||
\(133\) | 918.709 | + | 80.3766i | 0.598963 | + | 0.0524025i | ||||
\(134\) | 1273.05 | 0.820709 | ||||||||
\(135\) | 1562.09 | + | 142.299i | 0.995876 | + | 0.0907196i | ||||
\(136\) | 284.926 | 0.179649 | ||||||||
\(137\) | −1745.07 | − | 152.674i | −1.08826 | − | 0.0952101i | −0.471122 | − | 0.882068i | \(-0.656151\pi\) |
−0.617134 | + | 0.786858i | \(0.711706\pi\) | |||||||
\(138\) | −2254.96 | − | 3347.04i | −1.39098 | − | 2.06463i | ||||
\(139\) | −43.8330 | − | 7.72895i | −0.0267473 | − | 0.00471626i | 0.160259 | − | 0.987075i | \(-0.448767\pi\) |
−0.187006 | + | 0.982359i | \(0.559878\pi\) | |||||||
\(140\) | 477.517 | + | 902.315i | 0.288268 | + | 0.544711i | ||||
\(141\) | 390.471 | − | 649.054i | 0.233217 | − | 0.387661i | ||||
\(142\) | 2164.68 | + | 1515.73i | 1.27927 | + | 0.895753i | ||||
\(143\) | 1131.06 | + | 303.066i | 0.661425 | + | 0.177228i | ||||
\(144\) | −1541.05 | − | 329.311i | −0.891813 | − | 0.190574i | ||||
\(145\) | 310.324 | − | 131.012i | 0.177731 | − | 0.0750341i | ||||
\(146\) | 658.618 | − | 1809.54i | 0.373340 | − | 1.02574i | ||||
\(147\) | −488.891 | − | 1099.67i | −0.274306 | − | 0.617004i | ||||
\(148\) | 336.231 | + | 3843.14i | 0.186743 | + | 2.13449i | ||||
\(149\) | −1846.41 | − | 1549.32i | −1.01519 | − | 0.851846i | −0.0261754 | − | 0.999657i | \(-0.508333\pi\) |
−0.989016 | + | 0.147811i | \(0.952777\pi\) | |||||||
\(150\) | −2164.34 | − | 1529.85i | −1.17812 | − | 0.832745i | ||||
\(151\) | −2830.90 | − | 1030.36i | −1.52567 | − | 0.555297i | −0.563111 | − | 0.826381i | \(-0.690396\pi\) |
−0.962556 | + | 0.271084i | \(0.912618\pi\) | |||||||
\(152\) | −224.337 | + | 60.1109i | −0.119711 | + | 0.0320766i | ||||
\(153\) | −2665.41 | + | 1127.98i | −1.40840 | + | 0.596027i | ||||
\(154\) | 1772.39 | − | 1023.29i | 0.927422 | − | 0.535448i | ||||
\(155\) | 955.383 | − | 1866.05i | 0.495085 | − | 0.966997i | ||||
\(156\) | 19.9344 | − | 1107.56i | 0.0102310 | − | 0.568436i | ||||
\(157\) | −472.267 | + | 1012.78i | −0.240070 | + | 0.514832i | −0.989018 | − | 0.147797i | \(-0.952782\pi\) |
0.748947 | + | 0.662629i | \(0.230560\pi\) | |||||||
\(158\) | −1871.01 | − | 2672.08i | −0.942088 | − | 1.34544i | ||||
\(159\) | −839.197 | + | 964.327i | −0.418570 | + | 0.480982i | ||||
\(160\) | 2151.70 | + | 1945.00i | 1.06317 | + | 0.961037i | ||||
\(161\) | 2008.88i | 0.983367i | ||||||||
\(162\) | −2921.34 | + | 561.265i | −1.41680 | + | 0.272205i | ||||
\(163\) | −603.927 | − | 603.927i | −0.290204 | − | 0.290204i | 0.546957 | − | 0.837161i | \(-0.315786\pi\) |
−0.837161 | + | 0.546957i | \(0.815786\pi\) | |||||||
\(164\) | 1064.94 | − | 893.592i | 0.507061 | − | 0.425475i | ||||
\(165\) | −1509.30 | + | 2311.49i | −0.712115 | + | 1.09060i | ||||
\(166\) | −353.731 | + | 2006.11i | −0.165391 | + | 0.937977i | ||||
\(167\) | 1803.66 | + | 841.059i | 0.835756 | + | 0.389719i | 0.792892 | − | 0.609362i | \(-0.208574\pi\) |
0.0428633 | + | 0.999081i | \(0.486352\pi\) | |||||||
\(168\) | −101.205 | − | 104.915i | −0.0464768 | − | 0.0481805i | ||||
\(169\) | 1565.63 | − | 276.063i | 0.712622 | − | 0.125655i | ||||
\(170\) | 4852.89 | + | 605.460i | 2.18941 | + | 0.273157i | ||||
\(171\) | 1860.65 | − | 1450.44i | 0.832088 | − | 0.648644i | ||||
\(172\) | −630.395 | − | 2352.67i | −0.279460 | − | 1.04296i | ||||
\(173\) | 1992.31 | − | 929.031i | 0.875566 | − | 0.408283i | 0.0677389 | − | 0.997703i | \(-0.478422\pi\) |
0.807827 | + | 0.589420i | \(0.200644\pi\) | |||||||
\(174\) | −496.680 | + | 401.757i | −0.216398 | + | 0.175041i | ||||
\(175\) | 467.992 | + | 1233.51i | 0.202154 | + | 0.532825i | ||||
\(176\) | 1782.73 | − | 2124.58i | 0.763515 | − | 0.909922i | ||||
\(177\) | 1040.94 | − | 462.781i | 0.442046 | − | 0.196524i | ||||
\(178\) | 551.648 | + | 1183.01i | 0.232291 | + | 0.498150i | ||||
\(179\) | −1582.24 | + | 2740.52i | −0.660683 | + | 1.14434i | 0.319753 | + | 0.947501i | \(0.396400\pi\) |
−0.980436 | + | 0.196836i | \(0.936933\pi\) | |||||||
\(180\) | 2466.71 | + | 857.739i | 1.02143 | + | 0.355178i | ||||
\(181\) | 1126.74 | + | 1951.58i | 0.462708 | + | 0.801434i | 0.999095 | − | 0.0425385i | \(-0.0135445\pi\) |
−0.536387 | + | 0.843972i | \(0.680211\pi\) | |||||||
\(182\) | −608.727 | + | 869.352i | −0.247922 | + | 0.354069i | ||||
\(183\) | −480.118 | − | 1930.11i | −0.193942 | − | 0.779662i | ||||
\(184\) | −173.033 | − | 475.406i | −0.0693271 | − | 0.190475i | ||||
\(185\) | −183.700 | + | 4982.15i | −0.0730048 | + | 1.97997i | ||||
\(186\) | −760.741 | + | 3902.35i | −0.299894 | + | 1.53836i | ||||
\(187\) | 443.955 | − | 5074.43i | 0.173611 | − | 1.98438i | ||||
\(188\) | 891.755 | − | 891.755i | 0.345946 | − | 0.345946i | ||||
\(189\) | 1362.09 | + | 580.793i | 0.524218 | + | 0.223526i | ||||
\(190\) | −3948.67 | + | 547.106i | −1.50772 | + | 0.208901i | ||||
\(191\) | −2558.15 | − | 3048.68i | −0.969115 | − | 1.15495i | −0.987895 | − | 0.155122i | \(-0.950423\pi\) |
0.0187804 | − | 0.999824i | \(-0.494022\pi\) | |||||||
\(192\) | −2762.69 | − | 1349.31i | −1.03844 | − | 0.507179i | ||||
\(193\) | 2203.02 | − | 1542.57i | 0.821640 | − | 0.575319i | −0.0854078 | − | 0.996346i | \(-0.527219\pi\) |
0.907048 | + | 0.421027i | \(0.138330\pi\) | |||||||
\(194\) | −3017.35 | + | 1098.22i | −1.11666 | + | 0.406433i | ||||
\(195\) | 202.766 | − | 1417.12i | 0.0744634 | − | 0.520423i | ||||
\(196\) | −347.938 | − | 1973.26i | −0.126800 | − | 0.719117i | ||||
\(197\) | 260.248 | − | 971.260i | 0.0941215 | − | 0.351266i | −0.902763 | − | 0.430138i | \(-0.858465\pi\) |
0.996885 | + | 0.0788715i | \(0.0251317\pi\) | |||||||
\(198\) | 1536.15 | − | 5005.06i | 0.551361 | − | 1.79644i | ||||
\(199\) | −2326.23 | − | 1343.05i | −0.828654 | − | 0.478423i | 0.0247378 | − | 0.999694i | \(-0.492125\pi\) |
−0.853391 | + | 0.521271i | \(0.825458\pi\) | |||||||
\(200\) | −216.998 | − | 251.601i | −0.0767205 | − | 0.0889545i | ||||
\(201\) | −1601.26 | + | 252.722i | −0.561910 | + | 0.0886849i | ||||
\(202\) | −1659.41 | + | 145.180i | −0.577998 | + | 0.0505683i | ||||
\(203\) | 316.778 | − | 27.7145i | 0.109524 | − | 0.00958214i | ||||
\(204\) | −4759.91 | + | 751.245i | −1.63363 | + | 0.257832i | ||||
\(205\) | 1508.63 | − | 975.539i | 0.513985 | − | 0.332364i | ||||
\(206\) | 136.621 | + | 78.8784i | 0.0462081 | + | 0.0266783i | ||||
\(207\) | 3500.75 | + | 3762.28i | 1.17545 | + | 1.26327i | ||||
\(208\) | −372.236 | + | 1389.20i | −0.124086 | + | 0.463096i | ||||
\(209\) | 721.006 | + | 4089.03i | 0.238627 | + | 1.35332i | ||||
\(210\) | −1500.79 | − | 2001.97i | −0.493163 | − | 0.657853i | ||||
\(211\) | 2294.67 | − | 835.192i | 0.748681 | − | 0.272497i | 0.0606301 | − | 0.998160i | \(-0.480689\pi\) |
0.688050 | + | 0.725663i | \(0.258467\pi\) | |||||||
\(212\) | −1743.48 | + | 1220.80i | −0.564825 | + | 0.395494i | ||||
\(213\) | −3023.65 | − | 1476.77i | −0.972662 | − | 0.475053i | ||||
\(214\) | 3288.67 | + | 3919.28i | 1.05051 | + | 1.25195i | ||||
\(215\) | −431.994 | − | 3117.87i | −0.137031 | − | 0.989008i | ||||
\(216\) | −372.366 | − | 20.1234i | −0.117298 | − | 0.00633901i | ||||
\(217\) | 1399.39 | − | 1399.39i | 0.437773 | − | 0.437773i | ||||
\(218\) | −319.378 | + | 3650.51i | −0.0992248 | + | 1.13414i | ||||
\(219\) | −469.191 | + | 2406.80i | −0.144772 | + | 0.742631i | ||||
\(220\) | −3367.63 | + | 3128.12i | −1.03202 | + | 0.958626i | ||||
\(221\) | 903.437 | + | 2482.17i | 0.274985 | + | 0.755516i | ||||
\(222\) | −2282.40 | − | 9175.43i | −0.690020 | − | 2.77394i | ||||
\(223\) | −750.645 | + | 1072.03i | −0.225412 | + | 0.321922i | −0.915888 | − | 0.401433i | \(-0.868512\pi\) |
0.690476 | + | 0.723355i | \(0.257401\pi\) | |||||||
\(224\) | 1369.05 | + | 2371.27i | 0.408365 | + | 0.707309i | ||||
\(225\) | 3026.02 | + | 1494.60i | 0.896598 | + | 0.442845i | ||||
\(226\) | 657.186 | − | 1138.28i | 0.193431 | − | 0.335032i | ||||
\(227\) | 979.845 | + | 2101.28i | 0.286496 | + | 0.614393i | 0.995905 | − | 0.0904041i | \(-0.0288159\pi\) |
−0.709409 | + | 0.704797i | \(0.751038\pi\) | |||||||
\(228\) | 3589.23 | − | 1595.69i | 1.04256 | − | 0.463498i | ||||
\(229\) | 2665.76 | − | 3176.93i | 0.769251 | − | 0.916758i | −0.229144 | − | 0.973393i | \(-0.573593\pi\) |
0.998395 | + | 0.0566345i | \(0.0180370\pi\) | |||||||
\(230\) | −1936.90 | − | 8464.85i | −0.555284 | − | 2.42676i | ||||
\(231\) | −2026.18 | + | 1638.95i | −0.577112 | + | 0.466818i | ||||
\(232\) | −72.5788 | + | 33.8441i | −0.0205389 | + | 0.00957746i | ||||
\(233\) | −223.579 | − | 834.407i | −0.0628632 | − | 0.234609i | 0.927345 | − | 0.374208i | \(-0.122085\pi\) |
−0.990208 | + | 0.139599i | \(0.955419\pi\) | |||||||
\(234\) | 374.926 | + | 2688.93i | 0.104742 | + | 0.751200i | ||||
\(235\) | 1286.24 | − | 1000.89i | 0.357043 | − | 0.277834i | ||||
\(236\) | 1867.87 | − | 329.356i | 0.515204 | − | 0.0908443i | ||||
\(237\) | 2883.83 | + | 2989.54i | 0.790400 | + | 0.819373i | ||||
\(238\) | 4184.17 | + | 1951.11i | 1.13958 | + | 0.531393i | ||||
\(239\) | 515.333 | − | 2922.60i | 0.139473 | − | 0.790993i | −0.832166 | − | 0.554526i | \(-0.812899\pi\) |
0.971640 | − | 0.236467i | \(-0.0759894\pi\) | |||||||
\(240\) | −2839.06 | − | 1853.78i | −0.763584 | − | 0.498587i | ||||
\(241\) | −4663.85 | + | 3913.44i | −1.24658 | + | 1.04600i | −0.249597 | + | 0.968350i | \(0.580298\pi\) |
−0.996980 | + | 0.0776532i | \(0.975257\pi\) | |||||||
\(242\) | 2675.00 | + | 2675.00i | 0.710560 | + | 0.710560i | ||||
\(243\) | 3563.06 | − | 1285.90i | 0.940618 | − | 0.339467i | ||||
\(244\) | − | 3311.49i | − | 0.868838i | ||||||
\(245\) | −130.481 | − | 2586.13i | −0.0340250 | − | 0.674374i | ||||
\(246\) | −2236.70 | + | 2570.21i | −0.579702 | + | 0.666140i | ||||
\(247\) | −1234.99 | − | 1763.75i | −0.318139 | − | 0.454350i | ||||
\(248\) | −210.632 | + | 451.703i | −0.0539321 | + | 0.115658i | ||||
\(249\) | 46.6793 | − | 2593.52i | 0.0118803 | − | 0.660070i | ||||
\(250\) | −3161.29 | − | 4746.42i | −0.799750 | − | 1.20076i | ||||
\(251\) | −6250.71 | + | 3608.85i | −1.57188 | + | 0.907524i | −0.575939 | + | 0.817493i | \(0.695363\pi\) |
−0.995939 | + | 0.0900316i | \(0.971303\pi\) | |||||||
\(252\) | 1967.32 | + | 1485.84i | 0.491785 | + | 0.371425i | ||||
\(253\) | −8736.42 | + | 2340.92i | −2.17096 | + | 0.581708i | ||||
\(254\) | 5811.52 | + | 2115.22i | 1.43562 | + | 0.522522i | ||||
\(255\) | −6224.19 | + | 201.828i | −1.52853 | + | 0.0495645i | ||||
\(256\) | 2566.18 | + | 2153.28i | 0.626510 | + | 0.525704i | ||||
\(257\) | −635.126 | − | 7259.53i | −0.154156 | − | 1.76201i | −0.542087 | − | 0.840322i | \(-0.682366\pi\) |
0.387931 | − | 0.921688i | \(-0.373190\pi\) | |||||||
\(258\) | 2425.05 | + | 5454.73i | 0.585183 | + | 1.31627i | ||||
\(259\) | −1609.69 | + | 4422.59i | −0.386182 | + | 1.06103i | ||||
\(260\) | 897.173 | − | 2208.18i | 0.214001 | − | 0.526714i | ||||
\(261\) | 544.972 | − | 603.932i | 0.129245 | − | 0.143228i | ||||
\(262\) | 3171.92 | + | 849.913i | 0.747946 | + | 0.200412i | ||||
\(263\) | −5590.16 | − | 3914.27i | −1.31066 | − | 0.917735i | −0.311193 | − | 0.950347i | \(-0.600729\pi\) |
−0.999468 | + | 0.0326115i | \(0.989618\pi\) | |||||||
\(264\) | 338.330 | − | 562.383i | 0.0788741 | − | 0.131107i | ||||
\(265\) | −2431.12 | + | 1286.58i | −0.563557 | + | 0.298241i | ||||
\(266\) | −3706.04 | − | 653.475i | −0.854255 | − | 0.150628i | ||||
\(267\) | −928.715 | − | 1378.49i | −0.212871 | − | 0.315964i | ||||
\(268\) | −2688.75 | − | 235.235i | −0.612842 | − | 0.0536168i | ||||
\(269\) | 5135.28 | 1.16395 | 0.581977 | − | 0.813205i | \(-0.302279\pi\) | ||||
0.581977 | + | 0.813205i | \(0.302279\pi\) | |||||||
\(270\) | −6299.42 | − | 1134.01i | −1.41989 | − | 0.255607i | ||||
\(271\) | −1853.99 | −0.415580 | −0.207790 | − | 0.978173i | \(-0.566627\pi\) | ||||
−0.207790 | + | 0.978173i | \(0.566627\pi\) | |||||||
\(272\) | 6232.59 | + | 545.281i | 1.38936 | + | 0.121553i | ||||
\(273\) | 593.080 | − | 1214.32i | 0.131483 | − | 0.269209i | ||||
\(274\) | 7039.54 | + | 1241.26i | 1.55210 | + | 0.273676i | ||||
\(275\) | −4819.05 | + | 3472.63i | −1.05673 | + | 0.761482i | ||||
\(276\) | 4144.13 | + | 7485.79i | 0.903794 | + | 1.63258i | ||||
\(277\) | −920.943 | − | 644.852i | −0.199762 | − | 0.139875i | 0.469416 | − | 0.882977i | \(-0.344465\pi\) |
−0.669178 | + | 0.743102i | \(0.733354\pi\) | |||||||
\(278\) | 175.436 | + | 47.0080i | 0.0378488 | + | 0.0101415i | ||||
\(279\) | 182.183 | − | 5059.43i | 0.0390932 | − | 1.08566i | ||||
\(280\) | −121.991 | − | 288.956i | −0.0260369 | − | 0.0616729i | ||||
\(281\) | −155.490 | + | 427.204i | −0.0330097 | + | 0.0906935i | −0.955103 | − | 0.296275i | \(-0.904256\pi\) |
0.922093 | + | 0.386968i | \(0.126478\pi\) | |||||||
\(282\) | −1818.13 | + | 2499.59i | −0.383930 | + | 0.527831i | ||||
\(283\) | 200.083 | + | 2286.96i | 0.0420271 | + | 0.480372i | 0.987820 | + | 0.155602i | \(0.0497316\pi\) |
−0.945793 | + | 0.324771i | \(0.894713\pi\) | |||||||
\(284\) | −4291.84 | − | 3601.28i | −0.896739 | − | 0.752453i | ||||
\(285\) | 4858.05 | − | 1472.03i | 1.00971 | − | 0.305949i | ||||
\(286\) | −4490.06 | − | 1634.25i | −0.928331 | − | 0.337885i | ||||
\(287\) | 1638.19 | − | 438.952i | 0.336931 | − | 0.0902805i | ||||
\(288\) | 6696.25 | + | 2055.21i | 1.37007 | + | 0.420501i | ||||
\(289\) | 5696.50 | − | 3288.88i | 1.15947 | − | 0.669423i | ||||
\(290\) | −1308.09 | + | 422.207i | −0.264874 | + | 0.0854927i | ||||
\(291\) | 3577.23 | − | 1980.35i | 0.720621 | − | 0.398935i | ||||
\(292\) | −1725.40 | + | 3700.14i | −0.345793 | + | 0.741556i | ||||
\(293\) | −1508.80 | − | 2154.79i | −0.300836 | − | 0.429639i | 0.640065 | − | 0.768321i | \(-0.278908\pi\) |
−0.940901 | + | 0.338683i | \(0.890019\pi\) | |||||||
\(294\) | 1596.28 | + | 4644.14i | 0.316657 | + | 0.921264i | ||||
\(295\) | 2448.01 | − | 123.513i | 0.483148 | − | 0.0243769i | ||||
\(296\) | − | 1185.26i | − | 0.232743i | ||||||
\(297\) | −938.591 | + | 6600.35i | −0.183376 | + | 1.28953i | ||||
\(298\) | 6954.78 | + | 6954.78i | 1.35194 | + | 1.35194i | ||||
\(299\) | 3592.91 | − | 3014.81i | 0.694928 | − | 0.583114i | ||||
\(300\) | 4288.50 | + | 3631.05i | 0.825323 | + | 0.698796i | ||||
\(301\) | 515.983 | − | 2926.29i | 0.0988066 | − | 0.560360i | ||||
\(302\) | 11141.4 | + | 5195.32i | 2.12290 | + | 0.989925i | ||||
\(303\) | 2058.40 | − | 512.028i | 0.390270 | − | 0.0970801i | ||||
\(304\) | −5022.28 | + | 885.564i | −0.947525 | + | 0.167074i | ||||
\(305\) | 529.815 | − | 4246.58i | 0.0994660 | − | 0.797241i | ||||
\(306\) | 11236.3 | − | 3637.40i | 2.09913 | − | 0.679530i | ||||
\(307\) | −871.134 | − | 3251.12i | −0.161949 | − | 0.604401i | −0.998410 | − | 0.0563744i | \(-0.982046\pi\) |
0.836461 | − | 0.548027i | \(-0.184621\pi\) | |||||||
\(308\) | −3932.46 | + | 1833.73i | −0.727508 | + | 0.339243i | ||||
\(309\) | −187.502 | − | 72.0922i | −0.0345198 | − | 0.0132724i | ||||
\(310\) | −4547.37 | + | 7245.86i | −0.833139 | + | 1.32754i | ||||
\(311\) | 4993.21 | − | 5950.68i | 0.910415 | − | 1.08499i | −0.0856468 | − | 0.996326i | \(-0.527296\pi\) |
0.996062 | − | 0.0886645i | \(-0.0282599\pi\) | |||||||
\(312\) | −35.7590 | + | 338.455i | −0.00648863 | + | 0.0614143i | ||||
\(313\) | 3472.47 | + | 7446.73i | 0.627078 | + | 1.34477i | 0.921231 | + | 0.389015i | \(0.127185\pi\) |
−0.294154 | + | 0.955758i | \(0.595038\pi\) | |||||||
\(314\) | 2280.00 | − | 3949.07i | 0.409770 | − | 0.709743i | ||||
\(315\) | 2285.13 | + | 2220.16i | 0.408737 | + | 0.397117i | ||||
\(316\) | 3457.93 | + | 5989.31i | 0.615581 | + | 1.06622i | ||||
\(317\) | −6107.12 | + | 8721.87i | −1.08205 | + | 1.54533i | −0.268995 | + | 0.963142i | \(0.586691\pi\) |
−0.813056 | + | 0.582186i | \(0.802198\pi\) | |||||||
\(318\) | 3754.36 | − | 3621.61i | 0.662058 | − | 0.638647i | ||||
\(319\) | 489.663 | + | 1345.34i | 0.0859431 | + | 0.236127i | ||||
\(320\) | −4502.30 | − | 4847.03i | −0.786520 | − | 0.846741i | ||||
\(321\) | −4914.55 | − | 4276.85i | −0.854528 | − | 0.743646i | ||||
\(322\) | 714.456 | − | 8166.27i | 0.123649 | − | 1.41332i | ||||
\(323\) | −6623.06 | + | 6623.06i | −1.14092 | + | 1.14092i | ||||
\(324\) | 6273.72 | − | 645.615i | 1.07574 | − | 0.110702i | ||||
\(325\) | 1503.81 | − | 2688.18i | 0.256665 | − | 0.458811i | ||||
\(326\) | 2240.23 | + | 2669.80i | 0.380597 | + | 0.453578i | ||||
\(327\) | −322.971 | − | 4655.03i | −0.0546187 | − | 0.787229i | ||||
\(328\) | −349.872 | + | 244.983i | −0.0588977 | + | 0.0412406i | ||||
\(329\) | 1445.76 | − | 526.212i | 0.242271 | − | 0.0881794i | ||||
\(330\) | 6957.52 | − | 8859.63i | 1.16060 | − | 1.47790i | ||||
\(331\) | −74.1222 | − | 420.368i | −0.0123085 | − | 0.0698052i | 0.978035 | − | 0.208442i | \(-0.0668391\pi\) |
−0.990343 | + | 0.138636i | \(0.955728\pi\) | |||||||
\(332\) | 1117.79 | − | 4171.64i | 0.184779 | − | 0.689604i | ||||
\(333\) | 4692.29 | + | 11087.8i | 0.772180 | + | 1.82465i | ||||
\(334\) | −7032.89 | − | 4060.44i | −1.15216 | − | 0.665202i | ||||
\(335\) | −3410.36 | − | 731.842i | −0.556202 | − | 0.119358i | ||||
\(336\) | −2013.01 | − | 2488.63i | −0.326842 | − | 0.404065i | ||||
\(337\) | 7232.70 | − | 632.779i | 1.16911 | − | 0.102284i | 0.513982 | − | 0.857801i | \(-0.328170\pi\) |
0.655129 | + | 0.755517i | \(0.272614\pi\) | |||||||
\(338\) | −6462.60 | + | 565.404i | −1.04000 | + | 0.0909880i | ||||
\(339\) | −600.646 | + | 1562.20i | −0.0962319 | + | 0.250286i | ||||
\(340\) | −10137.7 | − | 2175.48i | −1.61704 | − | 0.347006i | ||||
\(341\) | 7716.47 | + | 4455.11i | 1.22543 | + | 0.707500i | ||||
\(342\) | −8079.52 | + | 5234.43i | −1.27746 | + | 0.827619i | ||||
\(343\) | 1569.64 | − | 5857.96i | 0.247092 | − | 0.922159i | ||||
\(344\) | 129.945 | + | 736.955i | 0.0203668 | + | 0.115506i | ||||
\(345\) | 4116.66 | + | 10262.6i | 0.642416 | + | 1.60151i | ||||
\(346\) | −8429.33 | + | 3068.02i | −1.30972 | + | 0.476700i | ||||
\(347\) | −8935.56 | + | 6256.75i | −1.38238 | + | 0.967953i | −0.383365 | + | 0.923597i | \(0.625235\pi\) |
−0.999016 | + | 0.0443562i | \(0.985876\pi\) | |||||||
\(348\) | 1123.25 | − | 756.755i | 0.173025 | − | 0.116570i | ||||
\(349\) | −3106.56 | − | 3702.26i | −0.476477 | − | 0.567843i | 0.473248 | − | 0.880929i | \(-0.343082\pi\) |
−0.949725 | + | 0.313086i | \(0.898637\pi\) | |||||||
\(350\) | −1463.73 | − | 5180.75i | −0.223542 | − | 0.791208i | ||||
\(351\) | −1005.38 | − | 3307.73i | −0.152887 | − | 0.503001i | ||||
\(352\) | −8717.06 | + | 8717.06i | −1.31995 | + | 1.31995i | ||||
\(353\) | −743.034 | + | 8492.91i | −0.112033 | + | 1.28054i | 0.707171 | + | 0.707042i | \(0.249971\pi\) |
−0.819204 | + | 0.573502i | \(0.805584\pi\) | |||||||
\(354\) | −4396.11 | + | 1511.03i | −0.660030 | + | 0.226865i | ||||
\(355\) | −4927.58 | − | 5304.86i | −0.736700 | − | 0.793107i | ||||
\(356\) | −946.512 | − | 2600.52i | −0.140913 | − | 0.387155i | ||||
\(357\) | −5650.20 | − | 1623.49i | −0.837648 | − | 0.240684i | ||||
\(358\) | 7406.61 | − | 10577.7i | 1.09344 | − | 1.56159i | ||||
\(359\) | −806.477 | − | 1396.86i | −0.118563 | − | 0.205358i | 0.800635 | − | 0.599152i | \(-0.204496\pi\) |
−0.919199 | + | 0.393794i | \(0.871162\pi\) | |||||||
\(360\) | −732.011 | − | 328.578i | −0.107168 | − | 0.0481044i | ||||
\(361\) | 387.912 | − | 671.884i | 0.0565552 | − | 0.0979565i | ||||
\(362\) | −3886.23 | − | 8334.04i | −0.564242 | − | 1.21002i | ||||
\(363\) | −3895.67 | − | 2833.60i | −0.563277 | − | 0.409712i | ||||
\(364\) | 1446.30 | − | 1723.63i | 0.208260 | − | 0.248195i | ||||
\(365\) | −2804.61 | + | 4468.92i | −0.402192 | + | 0.640860i | ||||
\(366\) | 1265.28 | + | 8016.83i | 0.180702 | + | 1.14494i | ||||
\(367\) | 9642.29 | − | 4496.28i | 1.37145 | − | 0.639520i | 0.409394 | − | 0.912358i | \(-0.365740\pi\) |
0.962060 | + | 0.272838i | \(0.0879623\pi\) | |||||||
\(368\) | −2875.19 | − | 10730.4i | −0.407282 | − | 1.52000i | ||||
\(369\) | 2303.11 | − | 3676.85i | 0.324919 | − | 0.518724i | ||||
\(370\) | 2518.65 | − | 20187.5i | 0.353887 | − | 2.83648i | ||||
\(371\) | −2557.13 | + | 450.891i | −0.357843 | + | 0.0630973i | ||||
\(372\) | 2327.80 | − | 8101.40i | 0.324438 | − | 1.12913i | ||||
\(373\) | 9409.11 | + | 4387.54i | 1.30613 | + | 0.609057i | 0.946097 | − | 0.323884i | \(-0.104989\pi\) |
0.360030 | + | 0.932941i | \(0.382766\pi\) | |||||||
\(374\) | −3609.43 | + | 20470.1i | −0.499035 | + | 2.83017i | ||||
\(375\) | 4918.54 | + | 5342.51i | 0.677312 | + | 0.735696i | ||||
\(376\) | −296.816 | + | 249.058i | −0.0407104 | + | 0.0341601i | ||||
\(377\) | −524.969 | − | 524.969i | −0.0717169 | − | 0.0717169i | ||||
\(378\) | −5330.43 | − | 2845.39i | −0.725312 | − | 0.387173i | ||||
\(379\) | − | 7093.59i | − | 0.961407i | −0.876883 | − | 0.480704i | \(-0.840381\pi\) | ||
0.876883 | − | 0.480704i | \(-0.159619\pi\) | |||||||
\(380\) | 8440.88 | − | 425.878i | 1.13949 | − | 0.0574924i | ||||
\(381\) | −7729.67 | − | 1506.85i | −1.03938 | − | 0.202621i | ||||
\(382\) | 9314.81 | + | 13302.9i | 1.24761 | + | 1.78177i | ||||
\(383\) | 46.7412 | − | 100.237i | 0.00623594 | − | 0.0133730i | −0.903165 | − | 0.429293i | \(-0.858763\pi\) |
0.909401 | + | 0.415920i | \(0.136540\pi\) | |||||||
\(384\) | 1509.84 | + | 908.321i | 0.200648 | + | 0.120710i | ||||
\(385\) | −5336.28 | + | 1722.37i | −0.706394 | + | 0.228001i | ||||
\(386\) | −9504.05 | + | 5487.17i | −1.25322 | + | 0.723548i | ||||
\(387\) | −4133.11 | − | 6379.59i | −0.542888 | − | 0.837966i | ||||
\(388\) | 6575.72 | − | 1761.96i | 0.860391 | − | 0.230541i | ||||
\(389\) | 8559.57 | + | 3115.43i | 1.11565 | + | 0.406063i | 0.833062 | − | 0.553179i | \(-0.186585\pi\) |
0.282586 | + | 0.959242i | \(0.408808\pi\) | |||||||
\(390\) | −1328.26 | + | 5688.62i | −0.172459 | + | 0.738601i | ||||
\(391\) | −15629.6 | − | 13114.8i | −2.02155 | − | 1.69628i | ||||
\(392\) | 53.6538 | + | 613.266i | 0.00691308 | + | 0.0790169i | ||||
\(393\) | −4158.39 | − | 439.348i | −0.533748 | − | 0.0563923i | ||||
\(394\) | −1403.36 | + | 3855.70i | −0.179442 | + | 0.493013i | ||||
\(395\) | 3476.12 | + | 8233.79i | 0.442791 | + | 1.04883i | ||||
\(396\) | −4169.26 | + | 10287.1i | −0.529074 | + | 1.30542i | ||||
\(397\) | 2156.17 | + | 577.745i | 0.272582 | + | 0.0730383i | 0.392521 | − | 0.919743i | \(-0.371603\pi\) |
−0.119938 | + | 0.992781i | \(0.538270\pi\) | |||||||
\(398\) | 8978.66 | + | 6286.93i | 1.13080 | + | 0.791797i | ||||
\(399\) | 4791.21 | + | 86.2344i | 0.601154 | + | 0.0108198i | ||||
\(400\) | −4265.21 | − | 5918.92i | −0.533151 | − | 0.739865i | ||||
\(401\) | 2959.79 | + | 521.890i | 0.368590 | + | 0.0649924i | 0.354876 | − | 0.934914i | \(-0.384523\pi\) |
0.0137146 | + | 0.999906i | \(0.495634\pi\) | |||||||
\(402\) | 6599.11 | − | 457.853i | 0.818741 | − | 0.0568050i | ||||
\(403\) | −4602.94 | − | 402.705i | −0.568955 | − | 0.0497771i | ||||
\(404\) | 3531.58 | 0.434908 | ||||||||
\(405\) | 8148.57 | + | 175.829i | 0.999767 | + | 0.0215729i | ||||
\(406\) | −1297.58 | −0.158616 | ||||||||
\(407\) | −21109.1 | − | 1846.81i | −2.57086 | − | 0.224921i | ||||
\(408\) | 1476.97 | − | 102.473i | 0.179218 | − | 0.0124343i | ||||
\(409\) | −6590.04 | − | 1162.00i | −0.796715 | − | 0.140482i | −0.239550 | − | 0.970884i | \(-0.577000\pi\) |
−0.557165 | + | 0.830402i | \(0.688111\pi\) | |||||||
\(410\) | −6479.63 | + | 3429.11i | −0.780503 | + | 0.413052i | ||||
\(411\) | −9100.80 | − | 163.800i | −1.09224 | − | 0.0196586i | ||||
\(412\) | −273.976 | − | 191.840i | −0.0327618 | − | 0.0229400i | ||||
\(413\) | 2235.05 | + | 598.881i | 0.266295 | + | 0.0713535i | ||||
\(414\) | −12892.8 | − | 16539.0i | −1.53055 | − | 1.96340i | ||||
\(415\) | 2100.86 | − | 5170.78i | 0.248499 | − | 0.611623i | ||||
\(416\) | 2186.45 | − | 6007.23i | 0.257691 | − | 0.708001i | ||||
\(417\) | −229.997 | − | 24.2999i | −0.0270096 | − | 0.00285365i | ||||
\(418\) | −1476.69 | − | 16878.7i | −0.172793 | − | 1.97503i | ||||
\(419\) | 10236.4 | + | 8589.38i | 1.19351 | + | 1.00148i | 0.999791 | + | 0.0204206i | \(0.00650054\pi\) |
0.193722 | + | 0.981056i | \(0.437944\pi\) | |||||||
\(420\) | 2799.82 | + | 4505.58i | 0.325279 | + | 0.523452i | ||||
\(421\) | 6301.52 | + | 2293.56i | 0.729494 | + | 0.265514i | 0.679951 | − | 0.733258i | \(-0.262001\pi\) |
0.0495436 | + | 0.998772i | \(0.484223\pi\) | |||||||
\(422\) | −9625.06 | + | 2579.03i | −1.11029 | + | 0.297500i | ||||
\(423\) | 1790.65 | − | 3504.93i | 0.205826 | − | 0.402874i | ||||
\(424\) | 566.312 | − | 326.961i | 0.0648645 | − | 0.0374496i | ||||
\(425\) | −12652.3 | − | 4411.74i | −1.44406 | − | 0.503532i | ||||
\(426\) | 11766.2 | + | 7078.53i | 1.33820 | + | 0.805061i | ||||
\(427\) | 1707.34 | − | 3661.41i | 0.193499 | − | 0.414960i | ||||
\(428\) | −6221.63 | − | 8885.41i | −0.702649 | − | 1.00349i | ||||
\(429\) | 5972.05 | + | 1164.22i | 0.672105 | + | 0.131023i | ||||
\(430\) | 647.228 | + | 12828.0i | 0.0725863 | + | 1.43866i | ||||
\(431\) | 3615.10i | 0.404022i | 0.979383 | + | 0.202011i | \(0.0647477\pi\) | ||||
−0.979383 | + | 0.202011i | \(0.935252\pi\) | |||||||
\(432\) | −8106.78 | − | 1152.81i | −0.902865 | − | 0.128390i | ||||
\(433\) | 5550.47 | + | 5550.47i | 0.616024 | + | 0.616024i | 0.944509 | − | 0.328485i | \(-0.106538\pi\) |
−0.328485 | + | 0.944509i | \(0.606538\pi\) | |||||||
\(434\) | −6186.32 | + | 5190.94i | −0.684223 | + | 0.574131i | ||||
\(435\) | 1561.51 | − | 790.733i | 0.172112 | − | 0.0871557i | ||||
\(436\) | 1349.08 | − | 7651.04i | 0.148187 | − | 0.840409i | ||||
\(437\) | 15072.9 | + | 7028.59i | 1.64996 | + | 0.769389i | ||||
\(438\) | 2763.27 | − | 9616.96i | 0.301448 | − | 1.04912i | ||||
\(439\) | 6869.90 | − | 1211.35i | 0.746884 | − | 0.131696i | 0.212763 | − | 0.977104i | \(-0.431754\pi\) |
0.534121 | + | 0.845408i | \(0.320643\pi\) | |||||||
\(440\) | 1114.48 | − | 867.238i | 0.120752 | − | 0.0939636i | ||||
\(441\) | −2929.75 | − | 5524.54i | −0.316354 | − | 0.596538i | ||||
\(442\) | −2789.76 | − | 10411.5i | −0.300216 | − | 1.12042i | ||||
\(443\) | −2833.37 | + | 1321.22i | −0.303877 | + | 0.141700i | −0.568576 | − | 0.822631i | \(-0.692505\pi\) |
0.264698 | + | 0.964331i | \(0.414728\pi\) | |||||||
\(444\) | 3125.10 | + | 19800.7i | 0.334033 | + | 2.11644i | ||||
\(445\) | −797.720 | − | 3486.28i | −0.0849788 | − | 0.371383i | ||||
\(446\) | 3432.70 | − | 4090.93i | 0.364446 | − | 0.434330i | ||||
\(447\) | −10128.4 | − | 7367.13i | −1.07172 | − | 0.779537i | ||||
\(448\) | −2639.30 | − | 5659.99i | −0.278337 | − | 0.596896i | ||||
\(449\) | −1056.01 | + | 1829.06i | −0.110994 | + | 0.192247i | −0.916171 | − | 0.400787i | \(-0.868737\pi\) |
0.805177 | + | 0.593034i | \(0.202070\pi\) | |||||||
\(450\) | −11769.5 | − | 7151.87i | −1.23293 | − | 0.749206i | ||||
\(451\) | 3817.91 | + | 6612.81i | 0.398622 | + | 0.690433i | ||||
\(452\) | −1598.34 | + | 2282.67i | −0.166327 | + | 0.237539i | ||||
\(453\) | −15045.1 | − | 4322.96i | −1.56044 | − | 0.448367i | ||||
\(454\) | −3235.83 | − | 8890.38i | −0.334505 | − | 0.919044i | ||||
\(455\) | 2130.47 | − | 1978.95i | 0.219512 | − | 0.203900i | ||||
\(456\) | −1141.28 | + | 392.279i | −0.117204 | + | 0.0402854i | ||||
\(457\) | −979.854 | + | 11199.8i | −0.100297 | + | 1.14640i | 0.764620 | + | 0.644482i | \(0.222927\pi\) |
−0.864916 | + | 0.501916i | \(0.832629\pi\) | |||||||
\(458\) | −11966.4 | + | 11966.4i | −1.22086 | + | 1.22086i | ||||
\(459\) | −13411.0 | + | 6805.73i | −1.36377 | + | 0.692079i | ||||
\(460\) | 2526.69 | + | 18236.1i | 0.256104 | + | 1.84840i | ||||
\(461\) | 5926.76 | + | 7063.24i | 0.598778 | + | 0.713596i | 0.977268 | − | 0.212010i | \(-0.0680008\pi\) |
−0.378489 | + | 0.925606i | \(0.623556\pi\) | |||||||
\(462\) | 8819.48 | − | 5941.85i | 0.888138 | − | 0.598355i | ||||
\(463\) | 10847.2 | − | 7595.27i | 1.08879 | − | 0.762380i | 0.115812 | − | 0.993271i | \(-0.463053\pi\) |
0.972980 | + | 0.230891i | \(0.0741640\pi\) | |||||||
\(464\) | −1652.39 | + | 601.420i | −0.165324 | + | 0.0601729i | ||||
\(465\) | 4281.29 | − | 10016.6i | 0.426968 | − | 0.998945i | ||||
\(466\) | 612.110 | + | 3471.45i | 0.0608486 | + | 0.345090i | ||||
\(467\) | 4133.91 | − | 15428.0i | 0.409625 | − | 1.52874i | −0.385739 | − | 0.922608i | \(-0.626054\pi\) |
0.795364 | − | 0.606132i | \(-0.207280\pi\) | |||||||
\(468\) | −295.001 | − | 5748.44i | −0.0291376 | − | 0.567781i | ||||
\(469\) | −2851.58 | − | 1646.36i | −0.280755 | − | 0.162094i | ||||
\(470\) | −5584.64 | + | 3611.26i | −0.548086 | + | 0.354415i | ||||
\(471\) | −2083.84 | + | 5419.79i | −0.203861 | + | 0.530214i | ||||
\(472\) | −580.513 | + | 50.7883i | −0.0566108 | + | 0.00495280i | ||||
\(473\) | 13327.4 | − | 1165.99i | 1.29555 | − | 0.113346i | ||||
\(474\) | −10659.8 | − | 13178.4i | −1.03295 | − | 1.27701i | ||||
\(475\) | 10892.5 | + | 804.344i | 1.05218 | + | 0.0776965i | ||||
\(476\) | −8476.65 | − | 4894.00i | −0.816232 | − | 0.471252i | ||||
\(477\) | −4003.32 | + | 5300.59i | −0.384275 | + | 0.508799i | ||||
\(478\) | −3134.29 | + | 11697.3i | −0.299915 | + | 1.11930i | ||||
\(479\) | −2133.43 | − | 12099.3i | −0.203505 | − | 1.15414i | −0.899775 | − | 0.436355i | \(-0.856269\pi\) |
0.696269 | − | 0.717781i | \(-0.254842\pi\) | |||||||
\(480\) | 11853.3 | + | 9308.43i | 1.12713 | + | 0.885146i | ||||
\(481\) | 10325.6 | − | 3758.20i | 0.978806 | − | 0.356256i | ||||
\(482\) | 20350.8 | − | 14249.8i | 1.92314 | − | 1.34659i | ||||
\(483\) | 722.494 | + | 10413.4i | 0.0680633 | + | 0.981009i | ||||
\(484\) | −5155.45 | − | 6144.02i | −0.484170 | − | 0.577012i | ||||
\(485\) | 8714.46 | − | 1207.43i | 0.815883 | − | 0.113044i | ||||
\(486\) | −14941.4 | + | 3960.08i | −1.39456 | + | 0.369615i | ||||
\(487\) | −13262.8 | + | 13262.8i | −1.23407 | + | 1.23407i | −0.271689 | + | 0.962385i | \(0.587582\pi\) |
−0.962385 | + | 0.271689i | \(0.912418\pi\) | |||||||
\(488\) | −88.6732 | + | 1013.54i | −0.00822550 | + | 0.0940179i | ||||
\(489\) | −3347.77 | − | 2913.37i | −0.309594 | − | 0.269421i | ||||
\(490\) | −389.336 | + | 10559.2i | −0.0358947 | + | 0.973504i | ||||
\(491\) | 1068.88 | + | 2936.71i | 0.0982438 | + | 0.269923i | 0.979072 | − | 0.203513i | \(-0.0652359\pi\) |
−0.880828 | + | 0.473436i | \(0.843014\pi\) | |||||||
\(492\) | 5198.95 | − | 5015.11i | 0.476396 | − | 0.459550i | ||||
\(493\) | −1852.43 | + | 2645.54i | −0.169228 | + | 0.241682i | ||||
\(494\) | 4393.05 | + | 7608.99i | 0.400107 | + | 0.693006i | ||||
\(495\) | −6992.43 | + | 12524.9i | −0.634922 | + | 1.13728i | ||||
\(496\) | −5471.91 | + | 9477.63i | −0.495355 | + | 0.857981i | ||||
\(497\) | −2888.59 | − | 6194.61i | −0.260707 | − | 0.559087i | ||||
\(498\) | −1112.14 | + | 10526.3i | −0.100072 | + | 0.947175i | ||||
\(499\) | −3510.84 | + | 4184.06i | −0.314964 | + | 0.375359i | −0.900180 | − | 0.435518i | \(-0.856565\pi\) |
0.585216 | + | 0.810877i | \(0.301010\pi\) | |||||||
\(500\) | 5799.76 | + | 10608.8i | 0.518746 | + | 0.948881i | ||||
\(501\) | 9652.09 | + | 3711.11i | 0.860726 | + | 0.330938i | ||||
\(502\) | 26693.1 | − | 12447.2i | 2.37325 | − | 1.10667i | ||||
\(503\) | −390.103 | − | 1455.88i | −0.0345802 | − | 0.129055i | 0.946478 | − | 0.322768i | \(-0.104613\pi\) |
−0.981058 | + | 0.193713i | \(0.937947\pi\) | |||||||
\(504\) | −562.346 | − | 507.446i | −0.0497002 | − | 0.0448481i | ||||
\(505\) | 4528.82 | + | 565.028i | 0.399069 | + | 0.0497890i | ||||
\(506\) | 36346.8 | − | 6408.92i | 3.19330 | − | 0.563066i | ||||
\(507\) | 8016.46 | − | 1994.10i | 0.702216 | − | 0.174677i | ||||
\(508\) | −11883.4 | − | 5541.31i | −1.03787 | − | 0.483968i | ||||
\(509\) | −140.484 | + | 796.726i | −0.0122335 | + | 0.0693797i | −0.990313 | − | 0.138851i | \(-0.955659\pi\) |
0.978080 | + | 0.208230i | \(0.0667703\pi\) | |||||||
\(510\) | 25373.6 | + | 1393.18i | 2.20306 | + | 0.120963i | ||||
\(511\) | −3815.44 | + | 3201.54i | −0.330304 | + | 0.277158i | ||||
\(512\) | −11584.2 | − | 11584.2i | −0.999908 | − | 0.999908i | ||||
\(513\) | 9123.36 | − | 8187.83i | 0.785197 | − | 0.704681i | ||||
\(514\) | 29736.5i | 2.55179i | ||||||||
\(515\) | −320.648 | − | 289.846i | −0.0274358 | − | 0.0248003i | ||||
\(516\) | −4113.91 | − | 11968.8i | −0.350978 | − | 1.02112i | ||||
\(517\) | 3973.16 | + | 5674.25i | 0.337987 | + | 0.482695i | ||||
\(518\) | 8116.41 | − | 17405.7i | 0.688445 | − | 1.47638i | ||||
\(519\) | 9993.42 | − | 5532.35i | 0.845207 | − | 0.467906i | ||||
\(520\) | −333.725 | + | 651.829i | −0.0281438 | + | 0.0549703i | ||||
\(521\) | 5325.76 | − | 3074.83i | 0.447842 | − | 0.258562i | −0.259076 | − | 0.965857i | \(-0.583418\pi\) |
0.706918 | + | 0.707295i | \(0.250085\pi\) | |||||||
\(522\) | −2430.15 | + | 2261.22i | −0.203764 | + | 0.189599i | ||||
\(523\) | 18014.8 | − | 4827.04i | 1.50618 | − | 0.403579i | 0.591014 | − | 0.806661i | \(-0.298728\pi\) |
0.915164 | + | 0.403082i | \(0.132061\pi\) | |||||||
\(524\) | −6542.21 | − | 2381.17i | −0.545416 | − | 0.198515i | ||||
\(525\) | 2869.56 | + | 6225.81i | 0.238548 | + | 0.517555i | ||||
\(526\) | 21332.4 | + | 17900.0i | 1.76832 | + | 1.48379i | ||||
\(527\) | 1751.82 | + | 20023.4i | 0.144802 | + | 1.65509i | ||||
\(528\) | 8477.04 | − | 11654.3i | 0.698704 | − | 0.960586i | ||||
\(529\) | −8229.26 | + | 22609.7i | −0.676359 | + | 1.85828i | ||||
\(530\) | 10340.3 | − | 4365.43i | 0.847458 | − | 0.357778i | ||||
\(531\) | 5229.49 | − | 2773.29i | 0.427383 | − | 0.226649i | ||||
\(532\) | 7706.60 | + | 2064.98i | 0.628051 | + | 0.168286i | ||||
\(533\) | −3243.57 | − | 2271.17i | −0.263592 | − | 0.184569i | ||||
\(534\) | 3285.04 | + | 5933.98i | 0.266213 | + | 0.480877i | ||||
\(535\) | −6556.87 | − | 12389.9i | −0.529866 | − | 1.00123i | ||||
\(536\) | 816.640 | + | 143.996i | 0.0658087 | + | 0.0116039i | ||||
\(537\) | −7216.23 | + | 14775.1i | −0.579894 | + | 1.18732i | ||||
\(538\) | −20875.3 | − | 1826.36i | −1.67286 | − | 0.146357i | ||||
\(539\) | 11005.7 | 0.879493 | ||||||||
\(540\) | 13095.1 | + | 3559.10i | 1.04357 | + | 0.283628i | ||||
\(541\) | −5587.26 | −0.444021 | −0.222010 | − | 0.975044i | \(-0.571262\pi\) | ||||
−0.222010 | + | 0.975044i | \(0.571262\pi\) | |||||||
\(542\) | 7536.64 | + | 659.371i | 0.597281 | + | 0.0522553i | ||||
\(543\) | 6542.57 | + | 9711.13i | 0.517069 | + | 0.767486i | ||||
\(544\) | −27386.8 | − | 4829.04i | −2.15846 | − | 0.380594i | ||||
\(545\) | 2954.15 | − | 9595.67i | 0.232187 | − | 0.754190i | ||||
\(546\) | −2842.79 | + | 4725.38i | −0.222821 | + | 0.370380i | ||||
\(547\) | 11377.7 | + | 7966.73i | 0.889349 | + | 0.622729i | 0.926382 | − | 0.376585i | \(-0.122902\pi\) |
−0.0370332 | + | 0.999314i | \(0.511791\pi\) | |||||||
\(548\) | −14638.5 | − | 3922.38i | −1.14111 | − | 0.305758i | ||||
\(549\) | −3182.95 | − | 9832.44i | −0.247441 | − | 0.764369i | ||||
\(550\) | 20824.9 | − | 12402.6i | 1.61450 | − | 0.961547i | ||||
\(551\) | 900.384 | − | 2473.78i | 0.0696146 | − | 0.191264i | ||||
\(552\) | −1067.93 | − | 2402.12i | −0.0823445 | − | 0.185220i | ||||
\(553\) | 735.344 | + | 8405.02i | 0.0565461 | + | 0.646325i | ||||
\(554\) | 3514.37 | + | 2948.91i | 0.269515 | + | 0.226150i | ||||
\(555\) | 839.582 | + | 25892.0i | 0.0642131 | + | 1.98028i | ||||
\(556\) | −361.844 | − | 131.700i | −0.0276000 | − | 0.0100456i | ||||
\(557\) | −16621.5 | + | 4453.71i | −1.26441 | + | 0.338796i | −0.827885 | − | 0.560898i | \(-0.810456\pi\) |
−0.436520 | + | 0.899694i | \(0.643789\pi\) | |||||||
\(558\) | −2539.97 | + | 20502.2i | −0.192698 | + | 1.55543i | ||||
\(559\) | −6008.06 | + | 3468.75i | −0.454586 | + | 0.262456i | ||||
\(560\) | −2115.48 | − | 6554.20i | −0.159634 | − | 0.494581i | ||||
\(561\) | 476.310 | − | 26464.0i | 0.0358464 | − | 1.99164i | ||||
\(562\) | 784.013 | − | 1681.32i | 0.0588462 | − | 0.126196i | ||||
\(563\) | −15.2677 | − | 21.8045i | −0.00114291 | − | 0.00163224i | 0.818580 | − | 0.574392i | \(-0.194762\pi\) |
−0.819723 | + | 0.572760i | \(0.805873\pi\) | |||||||
\(564\) | 4301.86 | − | 4943.30i | 0.321172 | − | 0.369061i | ||||
\(565\) | −2414.89 | + | 2671.52i | −0.179814 | + | 0.198923i | ||||
\(566\) | − | 9367.82i | − | 0.695687i | ||||||
\(567\) | 7269.52 | + | 2520.78i | 0.538432 | + | 0.186707i | ||||
\(568\) | 1217.16 | + | 1217.16i | 0.0899134 | + | 0.0899134i | ||||
\(569\) | 1566.27 | − | 1314.26i | 0.115398 | − | 0.0968305i | −0.583263 | − | 0.812284i | \(-0.698224\pi\) |
0.698661 | + | 0.715453i | \(0.253780\pi\) | |||||||
\(570\) | −20271.9 | + | 4256.16i | −1.48964 | + | 0.312756i | ||||
\(571\) | 3148.31 | − | 17854.9i | 0.230740 | − | 1.30859i | −0.620662 | − | 0.784078i | \(-0.713136\pi\) |
0.851402 | − | 0.524514i | \(-0.175753\pi\) | |||||||
\(572\) | 9181.25 | + | 4281.29i | 0.671132 | + | 0.312954i | ||||
\(573\) | −14357.1 | − | 14883.4i | −1.04673 | − | 1.08510i | ||||
\(574\) | −6815.49 | + | 1201.76i | −0.495598 | + | 0.0873873i | ||||
\(575\) | 322.528 | + | 23789.8i | 0.0233919 | + | 1.72540i | ||||
\(576\) | −14806.2 | − | 6000.82i | −1.07105 | − | 0.434087i | ||||
\(577\) | 1744.95 | + | 6512.23i | 0.125898 | + | 0.469857i | 0.999870 | − | 0.0161186i | \(-0.00513093\pi\) |
−0.873972 | + | 0.485976i | \(0.838464\pi\) | |||||||
\(578\) | −24326.4 | + | 11343.6i | −1.75060 | + | 0.816317i | ||||
\(579\) | 10865.0 | − | 8788.51i | 0.779849 | − | 0.630808i | ||||
\(580\) | 2840.76 | − | 650.015i | 0.203373 | − | 0.0465352i | ||||
\(581\) | 3386.72 | − | 4036.14i | 0.241833 | − | 0.288205i | ||||
\(582\) | −15246.0 | + | 6778.04i | −1.08586 | + | 0.482747i | ||||
\(583\) | −4940.66 | − | 10595.3i | −0.350980 | − | 0.752678i | ||||
\(584\) | 627.169 | − | 1086.29i | 0.0444391 | − | 0.0769708i | ||||
\(585\) | 541.407 | − | 7418.86i | 0.0382640 | − | 0.524329i | ||||
\(586\) | 5367.05 | + | 9296.00i | 0.378346 | + | 0.655314i | ||||
\(587\) | 4868.72 | − | 6953.25i | 0.342340 | − | 0.488912i | −0.610656 | − | 0.791896i | \(-0.709094\pi\) |
0.952996 | + | 0.302984i | \(0.0979830\pi\) | |||||||
\(588\) | −2513.29 | − | 10103.6i | −0.176269 | − | 0.708616i | ||||
\(589\) | −5603.64 | − | 15395.9i | −0.392010 | − | 1.07704i | ||||
\(590\) | −9995.29 | − | 368.543i | −0.697457 | − | 0.0257164i | ||||
\(591\) | 999.734 | − | 5128.31i | 0.0695830 | − | 0.356938i | ||||
\(592\) | 2268.31 | − | 25926.9i | 0.157478 | − | 1.79998i | ||||
\(593\) | −5469.62 | + | 5469.62i | −0.378769 | + | 0.378769i | −0.870658 | − | 0.491889i | \(-0.836307\pi\) |
0.491889 | + | 0.870658i | \(0.336307\pi\) | |||||||
\(594\) | 6162.86 | − | 26497.2i | 0.425699 | − | 1.83029i | ||||
\(595\) | −10087.3 | − | 7632.15i | −0.695020 | − | 0.525862i | ||||
\(596\) | −13403.7 | − | 15974.0i | −0.921206 | − | 1.09785i | ||||
\(597\) | −12541.5 | − | 6125.33i | −0.859780 | − | 0.419921i | ||||
\(598\) | −15677.7 | + | 10977.6i | −1.07209 | + | 0.750684i | ||||
\(599\) | 1118.73 | − | 407.185i | 0.0763107 | − | 0.0277748i | −0.303583 | − | 0.952805i | \(-0.598183\pi\) |
0.379893 | + | 0.925030i | \(0.375961\pi\) | |||||||
\(600\) | −1215.34 | − | 1226.18i | −0.0826934 | − | 0.0834310i | ||||
\(601\) | 3598.88 | + | 20410.2i | 0.244262 | + | 1.38528i | 0.822201 | + | 0.569197i | \(0.192746\pi\) |
−0.577940 | + | 0.816079i | \(0.696143\pi\) | |||||||
\(602\) | −3138.25 | + | 11712.1i | −0.212467 | + | 0.792939i | ||||
\(603\) | −8209.52 | + | 1885.92i | −0.554424 | + | 0.127365i | ||||
\(604\) | −22571.2 | − | 13031.5i | −1.52055 | − | 0.877888i | ||||
\(605\) | −5628.23 | − | 8703.79i | −0.378215 | − | 0.584891i | ||||
\(606\) | −8549.65 | + | 1349.37i | −0.573112 | + | 0.0904529i | ||||
\(607\) | −11639.4 | + | 1018.32i | −0.778302 | + | 0.0680926i | −0.469382 | − | 0.882995i | \(-0.655523\pi\) |
−0.308920 | + | 0.951088i | \(0.599968\pi\) | |||||||
\(608\) | 22581.9 | − | 1975.66i | 1.50628 | − | 0.131782i | ||||
\(609\) | 1632.11 | − | 257.592i | 0.108598 | − | 0.0171398i | ||||
\(610\) | −3664.03 | + | 17074.3i | −0.243201 | + | 1.13331i | ||||
\(611\) | −3110.84 | − | 1796.05i | −0.205976 | − | 0.118920i | ||||
\(612\) | −24403.7 | + | 5606.12i | −1.61187 | + | 0.370284i | ||||
\(613\) | −4273.20 | + | 15947.8i | −0.281555 | + | 1.05078i | 0.669766 | + | 0.742573i | \(0.266395\pi\) |
−0.951320 | + | 0.308204i | \(0.900272\pi\) | |||||||
\(614\) | 2384.98 | + | 13525.9i | 0.156759 | + | 0.889023i | ||||
\(615\) | 7469.40 | − | 5599.47i | 0.489748 | − | 0.367142i | ||||
\(616\) | 1252.70 | − | 455.945i | 0.0819361 | − | 0.0298223i | ||||
\(617\) | 12755.7 | − | 8931.64i | 0.832294 | − | 0.582778i | −0.0778998 | − | 0.996961i | \(-0.524821\pi\) |
0.910194 | + | 0.414183i | \(0.135933\pi\) | |||||||
\(618\) | 736.572 | + | 359.746i | 0.0479438 | + | 0.0234160i | ||||
\(619\) | 8032.33 | + | 9572.55i | 0.521561 | + | 0.621572i | 0.960949 | − | 0.276725i | \(-0.0892491\pi\) |
−0.439388 | + | 0.898297i | \(0.644805\pi\) | |||||||
\(620\) | 10943.2 | − | 14463.4i | 0.708852 | − | 0.936875i | ||||
\(621\) | 19499.9 | + | 18243.5i | 1.26007 | + | 1.17888i | ||||
\(622\) | −22414.2 | + | 22414.2i | −1.44490 | + | 1.44490i | ||||
\(623\) | 294.252 | − | 3363.31i | 0.0189229 | − | 0.216289i | ||||
\(624\) | −1429.93 | + | 7335.08i | −0.0917356 | + | 0.470574i | ||||
\(625\) | 5740.15 | + | 14532.4i | 0.367369 | + | 0.930075i | ||||
\(626\) | −11467.4 | − | 31506.5i | −0.732158 | − | 2.01159i | ||||
\(627\) | 5208.09 | + | 20936.9i | 0.331724 | + | 1.33356i | ||||
\(628\) | −5545.19 | + | 7919.35i | −0.352352 | + | 0.503211i | ||||
\(629\) | −23900.2 | − | 41396.3i | −1.51504 | − | 2.62413i | ||||
\(630\) | −8499.63 | − | 9837.85i | −0.537513 | − | 0.622141i | ||||
\(631\) | −7120.87 | + | 12333.7i | −0.449251 | + | 0.778126i | −0.998337 | − | 0.0576400i | \(-0.981642\pi\) |
0.549086 | + | 0.835766i | \(0.314976\pi\) | |||||||
\(632\) | −897.980 | − | 1925.72i | −0.0565186 | − | 0.121204i | ||||
\(633\) | 11594.5 | − | 5154.65i | 0.728024 | − | 0.323664i | ||||
\(634\) | 27927.9 | − | 33283.1i | 1.74946 | − | 2.08492i | ||||
\(635\) | −14352.4 | − | 9007.30i | −0.896941 | − | 0.562904i | ||||
\(636\) | −8598.61 | + | 6955.29i | −0.536096 | + | 0.433640i | ||||
\(637\) | −5172.43 | + | 2411.94i | −0.321725 | + | 0.150023i | ||||
\(638\) | −1512.05 | − | 5643.05i | −0.0938287 | − | 0.350173i | ||||
\(639\) | −16204.8 | − | 6567.64i | −1.00321 | − | 0.406591i | ||||
\(640\) | 2328.29 | + | 2992.08i | 0.143803 | + | 0.184800i | ||||
\(641\) | 5136.83 | − | 905.762i | 0.316525 | − | 0.0558119i | −0.0131286 | − | 0.999914i | \(-0.504179\pi\) |
0.329654 | + | 0.944102i | \(0.393068\pi\) | |||||||
\(642\) | 18457.0 | + | 19133.6i | 1.13464 | + | 1.17623i | ||||
\(643\) | 12235.8 | + | 5705.65i | 0.750440 | + | 0.349936i | 0.759918 | − | 0.650019i | \(-0.225239\pi\) |
−0.00947803 | + | 0.999955i | \(0.503017\pi\) | |||||||
\(644\) | −3017.94 | + | 17115.6i | −0.184664 | + | 1.04728i | ||||
\(645\) | −3360.66 | − | 16006.7i | −0.205157 | − | 0.977151i | ||||
\(646\) | 29278.8 | − | 24567.8i | 1.78322 | − | 1.49630i | ||||
\(647\) | −4411.00 | − | 4411.00i | −0.268028 | − | 0.268028i | 0.560277 | − | 0.828305i | \(-0.310695\pi\) |
−0.828305 | + | 0.560277i | \(0.810695\pi\) | |||||||
\(648\) | −1937.47 | + | 29.6076i | −0.117455 | + | 0.00179490i | ||||
\(649\) | 10417.9i | 0.630104i | ||||||||
\(650\) | −7069.15 | + | 10392.9i | −0.426577 | + | 0.627141i | ||||
\(651\) | 6750.71 | − | 7757.28i | 0.406423 | − | 0.467023i | ||||
\(652\) | −4238.15 | − | 6052.70i | −0.254568 | − | 0.363561i | ||||
\(653\) | 6423.76 | − | 13775.8i | 0.384963 | − | 0.825557i | −0.614369 | − | 0.789019i | \(-0.710589\pi\) |
0.999332 | − | 0.0365378i | \(-0.0116329\pi\) | |||||||
\(654\) | −342.654 | + | 19038.0i | −0.0204875 | + | 1.13829i | ||||
\(655\) | −8008.61 | − | 4100.26i | −0.477744 | − | 0.244596i | ||||
\(656\) | −8122.08 | + | 4689.29i | −0.483406 | + | 0.279094i | ||||
\(657\) | −1566.54 | + | 12644.8i | −0.0930235 | + | 0.750871i | ||||
\(658\) | −6064.27 | + | 1624.92i | −0.359285 | + | 0.0962702i | ||||
\(659\) | 25255.3 | + | 9192.18i | 1.49288 | + | 0.543364i | 0.954206 | − | 0.299151i | \(-0.0967035\pi\) |
0.538673 | + | 0.842515i | \(0.318926\pi\) | |||||||
\(660\) | −16331.7 | + | 17426.4i | −0.963199 | + | 1.02776i | ||||
\(661\) | −21755.8 | − | 18255.3i | −1.28018 | − | 1.07420i | −0.993219 | − | 0.116261i | \(-0.962909\pi\) |
−0.286965 | − | 0.957941i | \(-0.592646\pi\) | |||||||
\(662\) | 151.810 | + | 1735.19i | 0.00891276 | + | 0.101873i | ||||
\(663\) | 5575.85 | + | 12541.9i | 0.326618 | + | 0.734671i | ||||
\(664\) | −453.824 | + | 1246.87i | −0.0265238 | + | 0.0728734i | ||||
\(665\) | 9552.38 | + | 3881.08i | 0.557031 | + | 0.226318i | ||||
\(666\) | −15131.2 | − | 46741.7i | −0.880362 | − | 2.71953i | ||||
\(667\) | 5539.12 | + | 1484.20i | 0.321553 | + | 0.0861598i | ||||
\(668\) | 14103.5 | + | 9875.40i | 0.816890 | + | 0.571992i | ||||
\(669\) | −3505.55 | + | 5827.05i | −0.202590 | + | 0.336751i | ||||
\(670\) | 13603.1 | + | 4187.89i | 0.784379 | + | 0.241481i | ||||
\(671\) | 17912.6 | + | 3158.48i | 1.03056 | + | 0.181716i | ||||
\(672\) | 7949.57 | + | 11799.6i | 0.456342 | + | 0.677348i | ||||
\(673\) | −23150.3 | − | 2025.39i | −1.32597 | − | 0.116007i | −0.597933 | − | 0.801546i | \(-0.704011\pi\) |
−0.728036 | + | 0.685539i | \(0.759567\pi\) | |||||||
\(674\) | −29626.6 | −1.69313 | ||||||||
\(675\) | 16223.5 | + | 6659.24i | 0.925099 | + | 0.379725i | ||||
\(676\) | 13753.8 | 0.782534 | ||||||||
\(677\) | −24544.5 | − | 2147.36i | −1.39338 | − | 0.121905i | −0.634395 | − | 0.773009i | \(-0.718751\pi\) |
−0.758989 | + | 0.651104i | \(0.774306\pi\) | |||||||
\(678\) | 2997.27 | − | 6136.85i | 0.169778 | − | 0.347617i | ||||
\(679\) | 8179.00 | + | 1442.18i | 0.462270 | + | 0.0815106i | ||||
\(680\) | 3044.55 | + | 937.304i | 0.171696 | + | 0.0528588i | ||||
\(681\) | 5834.94 | + | 10540.0i | 0.328334 | + | 0.593090i | ||||
\(682\) | −29783.6 | − | 20854.7i | −1.67225 | − | 1.17092i | ||||
\(683\) | 5665.51 | + | 1518.07i | 0.317401 | + | 0.0850473i | 0.414002 | − | 0.910276i | \(-0.364131\pi\) |
−0.0966015 | + | 0.995323i | \(0.530797\pi\) | |||||||
\(684\) | 18031.6 | − | 9562.45i | 1.00798 | − | 0.534546i | ||||
\(685\) | −18144.5 | − | 7372.02i | −1.01207 | − | 0.411198i | ||||
\(686\) | −8464.08 | + | 23254.9i | −0.471079 | + | 1.29428i | ||||
\(687\) | 12675.9 | − | 17427.0i | 0.703954 | − | 0.967803i | ||||
\(688\) | 1432.11 | + | 16369.1i | 0.0793588 | + | 0.907075i | ||||
\(689\) | 4644.01 | + | 3896.79i | 0.256782 | + | 0.215466i | ||||
\(690\) | −13084.7 | − | 43182.5i | −0.721920 | − | 2.38251i | ||||
\(691\) | −29011.0 | − | 10559.1i | −1.59715 | − | 0.581314i | −0.618306 | − | 0.785937i | \(-0.712181\pi\) |
−0.978841 | + | 0.204623i | \(0.934403\pi\) | |||||||
\(692\) | 18370.1 | − | 4922.25i | 1.00914 | − | 0.270399i | ||||
\(693\) | −9913.65 | + | 9224.51i | −0.543418 | + | 0.505643i | ||||
\(694\) | 38549.0 | − | 22256.3i | 2.10850 | − | 1.21734i | ||||
\(695\) | −442.949 | − | 226.782i | −0.0241756 | − | 0.0123775i | ||||
\(696\) | −364.054 | + | 201.540i | −0.0198268 | + | 0.0109761i | ||||
\(697\) | −7279.63 | + | 15611.2i | −0.395603 | + | 0.848374i | ||||
\(698\) | 11311.7 | + | 16154.8i | 0.613403 | + | 0.876030i | ||||
\(699\) | −1459.06 | − | 4244.90i | −0.0789508 | − | 0.229695i | ||||
\(700\) | 2134.18 | + | 11212.5i | 0.115235 | + | 0.605417i | ||||
\(701\) | − | 6558.35i | − | 0.353360i | −0.984268 | − | 0.176680i | \(-0.943464\pi\) | ||
0.984268 | − | 0.176680i | \(-0.0565358\pi\) | |||||||
\(702\) | 2910.57 | + | 13803.7i | 0.156485 | + | 0.742149i | ||||
\(703\) | 27551.2 | + | 27551.2i | 1.47811 | + | 1.47811i | ||||
\(704\) | 21539.2 | − | 18073.5i | 1.15311 | − | 0.967572i | ||||
\(705\) | 6307.51 | − | 5650.91i | 0.336957 | − | 0.301880i | ||||
\(706\) | 6040.99 | − | 34260.1i | 0.322033 | − | 1.82634i | ||||
\(707\) | 3904.76 | + | 1820.82i | 0.207714 | + | 0.0968584i | ||||
\(708\) | 9564.01 | − | 2379.06i | 0.507680 | − | 0.126286i | ||||
\(709\) | 2182.95 | − | 384.914i | 0.115631 | − | 0.0203889i | −0.115533 | − | 0.993304i | \(-0.536858\pi\) |
0.231164 | + | 0.972915i | \(0.425747\pi\) | |||||||
\(710\) | 18144.3 | + | 23317.2i | 0.959077 | + | 1.23251i | ||||
\(711\) | 16024.1 | + | 14459.7i | 0.845217 | + | 0.762701i | ||||
\(712\) | 220.061 | + | 821.279i | 0.0115831 | + | 0.0432285i | ||||
\(713\) | 32345.6 | − | 15083.0i | 1.69895 | − | 0.792234i | ||||
\(714\) | 22391.1 | + | 8609.11i | 1.17362 | + | 0.451244i | ||||
\(715\) | 11088.8 | + | 6959.16i | 0.579999 | + | 0.363997i | ||||
\(716\) | −17597.7 | + | 20972.1i | −0.918515 | + | 1.09464i | ||||
\(717\) | 1620.22 | − | 15335.2i | 0.0843907 | − | 0.798750i | ||||
\(718\) | 2781.60 | + | 5965.17i | 0.144580 | + | 0.310053i | ||||
\(719\) | 3020.13 | − | 5231.02i | 0.156651 | − | 0.271327i | −0.777008 | − | 0.629491i | \(-0.783264\pi\) |
0.933659 | + | 0.358163i | \(0.116597\pi\) | |||||||
\(720\) | −15383.5 | − | 8588.34i | −0.796262 | − | 0.444540i | ||||
\(721\) | −204.017 | − | 353.369i | −0.0105381 | − | 0.0182526i | ||||
\(722\) | −1815.85 | + | 2593.30i | −0.0935996 | + | 0.133674i | ||||
\(723\) | −22768.5 | + | 21963.4i | −1.17119 | + | 1.12978i | ||||
\(724\) | 6667.94 | + | 18320.0i | 0.342282 | + | 0.940412i | ||||
\(725\) | 3746.93 | − | 379.062i | 0.191941 | − | 0.0194179i | ||||
\(726\) | 14828.4 | + | 12904.3i | 0.758037 | + | 0.659675i | ||||
\(727\) | −2185.55 | + | 24981.0i | −0.111496 | + | 1.27441i | 0.710004 | + | 0.704198i | \(0.248693\pi\) |
−0.821500 | + | 0.570208i | \(0.806862\pi\) | |||||||
\(728\) | −488.820 | + | 488.820i | −0.0248858 | + | 0.0248858i | ||||
\(729\) | 18007.3 | − | 7947.15i | 0.914866 | − | 0.403757i | ||||
\(730\) | 12990.3 | − | 17169.1i | 0.658622 | − | 0.870487i | ||||
\(731\) | 19398.7 | + | 23118.5i | 0.981515 | + | 1.16972i | ||||
\(732\) | −1190.98 | − | 17165.7i | −0.0601363 | − | 0.866755i | ||||
\(733\) | −6829.78 | + | 4782.26i | −0.344152 | + | 0.240978i | −0.732854 | − | 0.680385i | \(-0.761812\pi\) |
0.388702 | + | 0.921363i | \(0.372923\pi\) | |||||||
\(734\) | −40795.8 | + | 14848.5i | −2.05150 | + | 0.746685i | ||||
\(735\) | −1606.47 | − | 13358.8i | −0.0806199 | − | 0.670401i | ||||
\(736\) | 8574.47 | + | 48628.2i | 0.429428 | + | 2.43541i | ||||
\(737\) | 3836.95 | − | 14319.7i | 0.191772 | − | 0.715703i | ||||
\(738\) | −10670.0 | + | 14127.6i | −0.532206 | + | 0.704666i | ||||
\(739\) | 8107.77 | + | 4681.03i | 0.403585 | + | 0.233010i | 0.688030 | − | 0.725683i | \(-0.258476\pi\) |
−0.284445 | + | 0.958692i | \(0.591809\pi\) | |||||||
\(740\) | −9049.77 | + | 42171.6i | −0.449562 | + | 2.09495i | ||||
\(741\) | −7036.13 | − | 8698.55i | −0.348824 | − | 0.431241i | ||||
\(742\) | 10555.3 | − | 923.470i | 0.522234 | − | 0.0456896i | ||||
\(743\) | −24653.5 | + | 2156.90i | −1.21729 | + | 0.106499i | −0.677644 | − | 0.735390i | \(-0.736999\pi\) |
−0.539650 | + | 0.841890i | \(0.681443\pi\) | |||||||
\(744\) | −929.399 | + | 2417.24i | −0.0457976 | + | 0.119113i | ||||
\(745\) | −14632.9 | − | 22629.1i | −0.719609 | − | 1.11284i | ||||
\(746\) | −36688.4 | − | 21182.1i | −1.80061 | − | 1.03958i | ||||
\(747\) | −690.786 | − | 13460.8i | −0.0338347 | − | 0.659310i | ||||
\(748\) | 11405.8 | − | 42566.9i | 0.557535 | − | 2.08075i | ||||
\(749\) | −2297.90 | − | 13032.1i | −0.112101 | − | 0.635756i | ||||
\(750\) | −18094.2 | − | 23467.0i | −0.880942 | − | 1.14252i | ||||
\(751\) | −5083.78 | + | 1850.34i | −0.247017 | + | 0.0899068i | −0.462561 | − | 0.886587i | \(-0.653070\pi\) |
0.215545 | + | 0.976494i | \(0.430847\pi\) | |||||||
\(752\) | −6969.31 | + | 4879.97i | −0.337958 | + | 0.236641i | ||||
\(753\) | −31103.8 | + | 20955.2i | −1.50529 | + | 1.01414i | ||||
\(754\) | 1947.34 | + | 2320.74i | 0.0940554 | + | 0.112091i | ||||
\(755\) | −26859.9 | − | 20322.5i | −1.29474 | − | 0.979619i | ||||
\(756\) | 10732.4 | + | 6994.58i | 0.516313 | + | 0.336495i | ||||
\(757\) | 15968.9 | − | 15968.9i | 0.766711 | − | 0.766711i | −0.210815 | − | 0.977526i | \(-0.567612\pi\) |
0.977526 | + | 0.210815i | \(0.0676117\pi\) | |||||||
\(758\) | −2522.83 | + | 28836.0i | −0.120888 | + | 1.38176i | ||||
\(759\) | −44445.0 | + | 15276.6i | −2.12549 | + | 0.730575i | ||||
\(760\) | −2594.88 | − | 95.6775i | −0.123850 | − | 0.00456656i | ||||
\(761\) | −1915.30 | − | 5262.24i | −0.0912345 | − | 0.250665i | 0.885680 | − | 0.464297i | \(-0.153693\pi\) |
−0.976914 | + | 0.213632i | \(0.931471\pi\) | |||||||
\(762\) | 30885.8 | + | 8874.53i | 1.46834 | + | 0.421904i | ||||
\(763\) | 5436.37 | − | 7763.94i | 0.257942 | − | 0.368379i | ||||
\(764\) | −17215.2 | − | 29817.7i | −0.815217 | − | 1.41200i | ||||
\(765\) | −32191.7 | + | 3284.74i | −1.52143 | + | 0.155242i | ||||
\(766\) | −225.656 | + | 390.847i | −0.0106440 | + | 0.0184359i | ||||
\(767\) | −2283.13 | − | 4896.19i | −0.107482 | − | 0.230497i | ||||
\(768\) | 14076.7 | + | 10239.0i | 0.661394 | + | 0.481080i | ||||
\(769\) | −11807.0 | + | 14071.0i | −0.553667 | + | 0.659834i | −0.968193 | − | 0.250203i | \(-0.919503\pi\) |
0.414527 | + | 0.910037i | \(0.363947\pi\) | |||||||
\(770\) | 22305.0 | − | 5103.75i | 1.04392 | − | 0.238866i | ||||
\(771\) | −5903.18 | − | 37402.7i | −0.275743 | − | 1.74712i | ||||
\(772\) | 21087.0 | − | 9833.01i | 0.983078 | − | 0.458417i | ||||
\(773\) | −2186.45 | − | 8159.95i | −0.101735 | − | 0.379680i | 0.896219 | − | 0.443611i | \(-0.146303\pi\) |
−0.997954 | + | 0.0639310i | \(0.979636\pi\) | |||||||
\(774\) | 14532.5 | + | 27403.5i | 0.674885 | + | 1.27261i | ||||
\(775\) | 16347.3 | − | 16796.6i | 0.757693 | − | 0.778520i | ||||
\(776\) | −2059.79 | + | 363.197i | −0.0952864 | + | 0.0168016i | ||||
\(777\) | −6753.55 | + | 23504.2i | −0.311818 | + | 1.08521i | ||||
\(778\) | −33687.3 | − | 15708.7i | −1.55238 | − | 0.723886i | ||||
\(779\) | 2438.13 | − | 13827.3i | 0.112137 | − | 0.635962i | ||||
\(780\) | 3856.49 | − | 11769.2i | 0.177032 | − | 0.540263i | ||||
\(781\) | 23573.7 | − | 19780.7i | 1.08007 | − | 0.906284i | ||||
\(782\) | 58871.5 | + | 58871.5i | 2.69212 | + | 2.69212i | ||||
\(783\) | 2607.76 | − | 3326.60i | 0.119022 | − | 0.151830i | ||||
\(784\) | 13517.5i | 0.615776i | ||||||||
\(785\) | −8378.06 | + | 9268.40i | −0.380925 | + | 0.421406i | ||||
\(786\) | 16747.9 | + | 3264.91i | 0.760024 | + | 0.148162i | ||||
\(787\) | −2824.24 | − | 4033.44i | −0.127921 | − | 0.182689i | 0.750083 | − | 0.661344i | \(-0.230014\pi\) |
−0.878003 | + | 0.478654i | \(0.841125\pi\) | |||||||
\(788\) | 3676.42 | − | 7884.11i | 0.166202 | − | 0.356421i | ||||
\(789\) | −30385.4 | − | 18279.9i | −1.37104 | − | 0.824817i | ||||
\(790\) | −11202.4 | − | 34707.3i | −0.504510 | − | 1.56308i | ||||
\(791\) | −2944.14 | + | 1699.80i | −0.132341 | + | 0.0764069i | ||||
\(792\) | 1551.54 | − | 3036.90i | 0.0696104 | − | 0.136252i | ||||
\(793\) | −9110.75 | + | 2441.22i | −0.407985 | + | 0.109319i | ||||
\(794\) | −8559.55 | − | 3115.42i | −0.382578 | − | 0.139247i | ||||
\(795\) | −12139.5 | + | 7543.58i | −0.541563 | + | 0.336533i | ||||
\(796\) | −17801.7 | − | 14937.4i | −0.792669 | − | 0.665128i | ||||
\(797\) | −1501.60 | − | 17163.4i | −0.0667371 | − | 0.762809i | −0.953659 | − | 0.300889i | \(-0.902716\pi\) |
0.886922 | − | 0.461919i | \(-0.152839\pi\) | |||||||
\(798\) | −19446.0 | − | 2054.54i | −0.862632 | − | 0.0911401i | ||||
\(799\) | −5344.43 | + | 14683.7i | −0.236636 | + | 0.650153i | ||||
\(800\) | 16593.4 | + | 27861.5i | 0.733334 | + | 1.23132i | ||||
\(801\) | −5309.95 | − | 6811.66i | −0.234229 | − | 0.300472i | ||||
\(802\) | −11846.2 | − | 3174.17i | −0.521574 | − | 0.139755i | ||||
\(803\) | −18369.2 | − | 12862.3i | −0.807267 | − | 0.565254i | ||||
\(804\) | −14022.3 | − | 252.379i | −0.615084 | − | 0.0110706i | ||||
\(805\) | −6608.50 | + | 21465.8i | −0.289340 | + | 0.939837i | ||||
\(806\) | 18568.1 | + | 3274.06i | 0.811456 | + | 0.143082i | ||||
\(807\) | 26619.7 | − | 1846.90i | 1.16116 | − | 0.0805626i | ||||
\(808\) | −1080.90 | − | 94.5667i | −0.0470619 | − | 0.00411738i | ||||
\(809\) | 16834.4 | 0.731601 | 0.365801 | − | 0.930693i | \(-0.380795\pi\) | ||||
0.365801 | + | 0.930693i | \(0.380795\pi\) | |||||||
\(810\) | −33062.1 | − | 3612.79i | −1.43418 | − | 0.156717i | ||||
\(811\) | −5289.00 | −0.229003 | −0.114502 | − | 0.993423i | \(-0.536527\pi\) | ||||
−0.114502 | + | 0.993423i | \(0.536527\pi\) | |||||||
\(812\) | 2740.56 | + | 239.768i | 0.118442 | + | 0.0103623i | ||||
\(813\) | −9610.54 | + | 666.788i | −0.414583 | + | 0.0287642i | ||||
\(814\) | 85153.4 | + | 15014.8i | 3.66662 | + | 0.646523i | ||||
\(815\) | −4466.51 | − | 8439.92i | −0.191969 | − | 0.362745i | ||||
\(816\) | 32503.9 | + | 585.021i | 1.39444 | + | 0.0250978i | ||||
\(817\) | −20151.0 | − | 14109.8i | −0.862904 | − | 0.604212i | ||||
\(818\) | 26375.8 | + | 7067.37i | 1.12739 | + | 0.302084i | ||||
\(819\) | 2637.61 | − | 6507.96i | 0.112534 | − | 0.277664i | ||||
\(820\) | 14319.0 | − | 6045.14i | 0.609804 | − | 0.257445i | ||||
\(821\) | 5771.70 | − | 15857.6i | 0.245352 | − | 0.674098i | −0.754490 | − | 0.656312i | \(-0.772116\pi\) |
0.999842 | − | 0.0177870i | \(-0.00566206\pi\) | |||||||
\(822\) | 36937.2 | + | 3902.55i | 1.56732 | + | 0.165592i | ||||
\(823\) | −2310.81 | − | 26412.7i | −0.0978735 | − | 1.11870i | −0.873274 | − | 0.487230i | \(-0.838007\pi\) |
0.775400 | − | 0.631470i | \(-0.217548\pi\) | |||||||
\(824\) | 78.7182 | + | 66.0524i | 0.00332801 | + | 0.00279253i | ||||
\(825\) | −23731.5 | + | 19734.2i | −1.00149 | + | 0.832797i | ||||
\(826\) | −8872.69 | − | 3229.39i | −0.373753 | − | 0.136035i | ||||
\(827\) | 9933.27 | − | 2661.61i | 0.417670 | − | 0.111914i | −0.0438624 | − | 0.999038i | \(-0.513966\pi\) |
0.461533 | + | 0.887123i | \(0.347300\pi\) | |||||||
\(828\) | 24174.1 | + | 37313.6i | 1.01462 | + | 1.56611i | ||||
\(829\) | 9084.46 | − | 5244.91i | 0.380599 | − | 0.219739i | −0.297480 | − | 0.954728i | \(-0.596146\pi\) |
0.678079 | + | 0.734989i | \(0.262813\pi\) | |||||||
\(830\) | −10379.1 | + | 20272.5i | −0.434054 | + | 0.847792i | ||||
\(831\) | −5005.81 | − | 3011.49i | −0.208965 | − | 0.125713i | ||||
\(832\) | −6162.06 | + | 13214.6i | −0.256768 | + | 0.550641i | ||||
\(833\) | 14240.1 | + | 20336.9i | 0.592304 | + | 0.845898i | ||||
\(834\) | 926.313 | + | 180.579i | 0.0384599 | + | 0.00749754i | ||||
\(835\) | 16506.1 | + | 14920.5i | 0.684091 | + | 0.618376i | ||||
\(836\) | 35921.4i | 1.48609i | ||||||||
\(837\) | −875.241 | − | 26292.0i | −0.0361443 | − | 1.08577i | ||||
\(838\) | −38557.1 | − | 38557.1i | −1.58942 | − | 1.58942i | ||||
\(839\) | −13396.6 | + | 11241.1i | −0.551254 | + | 0.462557i | −0.875365 | − | 0.483462i | \(-0.839379\pi\) |
0.324111 | + | 0.946019i | \(0.394935\pi\) | |||||||
\(840\) | −736.284 | − | 1453.98i | −0.0302431 | − | 0.0597228i | ||||
\(841\) | −4077.48 | + | 23124.5i | −0.167185 | + | 0.948155i | ||||
\(842\) | −24800.5 | − | 11564.7i | −1.01506 | − | 0.473331i | ||||
\(843\) | −652.367 | + | 2270.42i | −0.0266533 | + | 0.0927608i | ||||
\(844\) | 20805.2 | − | 3668.51i | 0.848511 | − | 0.149615i | ||||
\(845\) | 17637.6 | + | 2200.51i | 0.718049 | + | 0.0895857i | ||||
\(846\) | −8525.66 | + | 13611.0i | −0.346476 | + | 0.553139i | ||||
\(847\) | −2532.47 | − | 9451.30i | −0.102735 | − | 0.383413i | ||||
\(848\) | 13013.5 | − | 6068.29i | 0.526987 | − | 0.245738i | ||||
\(849\) | 1859.67 | + | 11782.9i | 0.0751751 | + | 0.476312i | ||||
\(850\) | 49863.4 | + | 22433.9i | 2.01212 | + | 0.905264i | ||||
\(851\) | −54556.3 | + | 65017.6i | −2.19761 | + | 2.61901i | ||||
\(852\) | −23542.8 | − | 17124.4i | −0.946669 | − | 0.688581i | ||||
\(853\) | −15940.7 | − | 34184.8i | −0.639856 | − | 1.37218i | −0.912108 | − | 0.409950i | \(-0.865546\pi\) |
0.272251 | − | 0.962226i | \(-0.412232\pi\) | |||||||
\(854\) | −8242.66 | + | 14276.7i | −0.330279 | + | 0.572060i | ||||
\(855\) | 24653.2 | − | 9377.74i | 0.986108 | − | 0.375102i | ||||
\(856\) | 1666.31 | + | 2886.13i | 0.0665342 | + | 0.115241i | ||||
\(857\) | −20103.6 | + | 28710.9i | −0.801315 | + | 1.14440i | 0.185516 | + | 0.982641i | \(0.440604\pi\) |
−0.986831 | + | 0.161755i | \(0.948285\pi\) | |||||||
\(858\) | −23862.8 | − | 6856.58i | −0.949491 | − | 0.272820i | ||||
\(859\) | −1566.75 | − | 4304.60i | −0.0622314 | − | 0.170979i | 0.904680 | − | 0.426091i | \(-0.140110\pi\) |
−0.966911 | + | 0.255112i | \(0.917888\pi\) | |||||||
\(860\) | 1003.39 | − | 27213.0i | 0.0397852 | − | 1.07902i | ||||
\(861\) | 8334.01 | − | 2864.57i | 0.329875 | − | 0.113385i | ||||
\(862\) | 1285.71 | − | 14695.7i | 0.0508020 | − | 0.580670i | ||||
\(863\) | 15949.9 | − | 15949.9i | 0.629131 | − | 0.629131i | −0.318718 | − | 0.947849i | \(-0.603252\pi\) |
0.947849 | + | 0.318718i | \(0.103252\pi\) | |||||||
\(864\) | 35450.5 | + | 8245.26i | 1.39589 | + | 0.324664i | ||||
\(865\) | 24344.9 | − | 3373.10i | 0.956938 | − | 0.132588i | ||||
\(866\) | −20589.1 | − | 24537.1i | −0.807905 | − | 0.962824i | ||||
\(867\) | 28346.1 | − | 19097.3i | 1.11036 | − | 0.748070i | ||||
\(868\) | 14025.0 | − | 9820.41i | 0.548433 | − | 0.384017i | ||||
\(869\) | −35695.7 | + | 12992.2i | −1.39343 | + | 0.507168i | ||||
\(870\) | −6628.87 | + | 2659.05i | −0.258322 | + | 0.103621i | ||||
\(871\) | 1334.95 | + | 7570.85i | 0.0519322 | + | 0.294522i | ||||
\(872\) | −617.786 | + | 2305.61i | −0.0239918 | + | 0.0895387i | ||||
\(873\) | 17831.0 | − | 11552.1i | 0.691280 | − | 0.447856i | ||||
\(874\) | −58772.7 | − | 33932.4i | −2.27462 | − | 1.31325i | ||||
\(875\) | 942.901 | + | 14720.1i | 0.0364296 | + | 0.568719i | ||||
\(876\) | −7613.20 | + | 19800.9i | −0.293637 | + | 0.763711i | ||||
\(877\) | −31534.5 | + | 2758.91i | −1.21419 | + | 0.106228i | −0.676197 | − | 0.736721i | \(-0.736373\pi\) |
−0.537994 | + | 0.842949i | \(0.680818\pi\) | |||||||
\(878\) | −28357.5 | + | 2480.96i | −1.09000 | + | 0.0953626i | ||||
\(879\) | −8596.12 | − | 10627.1i | −0.329852 | − | 0.407786i | ||||
\(880\) | 26038.4 | − | 16837.5i | 0.997447 | − | 0.644990i | ||||
\(881\) | 44416.6 | + | 25644.0i | 1.69856 | + | 0.980666i | 0.947126 | + | 0.320862i | \(0.103972\pi\) |
0.751437 | + | 0.659804i | \(0.229361\pi\) | |||||||
\(882\) | 9944.90 | + | 23499.7i | 0.379662 | + | 0.897137i | ||||
\(883\) | 2557.55 | − | 9544.90i | 0.0974726 | − | 0.363773i | −0.899910 | − | 0.436075i | \(-0.856368\pi\) |
0.997383 | + | 0.0723027i | \(0.0230348\pi\) | |||||||
\(884\) | 3968.27 | + | 22505.2i | 0.150981 | + | 0.856258i | ||||
\(885\) | 12645.3 | − | 1520.68i | 0.480302 | − | 0.0577593i | ||||
\(886\) | 11987.8 | − | 4363.20i | 0.454557 | − | 0.165445i | ||||
\(887\) | 21015.3 | − | 14715.1i | 0.795519 | − | 0.557028i | −0.103658 | − | 0.994613i | \(-0.533055\pi\) |
0.899177 | + | 0.437585i | \(0.144166\pi\) | |||||||
\(888\) | −426.279 | − | 6144.03i | −0.0161092 | − | 0.232185i | ||||
\(889\) | −10282.1 | − | 12253.7i | −0.387907 | − | 0.462289i | ||||
\(890\) | 2002.91 | + | 14455.7i | 0.0754355 | + | 0.544446i | ||||
\(891\) | −2491.55 | + | 34551.8i | −0.0936814 | + | 1.29913i | ||||
\(892\) | −8005.96 | + | 8005.96i | −0.300515 | + | 0.300515i | ||||
\(893\) | 1110.12 | − | 12688.8i | 0.0416000 | − | 0.475491i | ||||
\(894\) | 38552.7 | + | 33550.1i | 1.44228 | + | 1.25513i | ||||
\(895\) | −25922.3 | + | 24078.6i | −0.968140 | + | 0.899285i | ||||
\(896\) | 1224.08 | + | 3363.15i | 0.0456404 | + | 0.125396i | ||||
\(897\) | 17540.3 | − | 16920.0i | 0.652901 | − | 0.629814i | ||||
\(898\) | 4943.27 | − | 7059.72i | 0.183696 | − | 0.262345i | ||||
\(899\) | −2824.66 | − | 4892.45i | −0.104791 | − | 0.181504i | ||||
\(900\) | 23536.2 | + | 17279.9i | 0.871711 | + | 0.639996i | ||||
\(901\) | 13186.0 | − | 22838.8i | 0.487556 | − | 0.844472i | ||||
\(902\) | −13168.3 | − | 28239.5i | −0.486093 | − | 1.04243i | ||||
\(903\) | 1622.26 | − | 15354.5i | 0.0597846 | − | 0.565855i | ||||
\(904\) | 550.324 | − | 655.851i | 0.0202473 | − | 0.0241297i | ||||
\(905\) | 5619.74 | + | 24560.0i | 0.206416 | + | 0.902101i | ||||
\(906\) | 59622.1 | + | 22923.9i | 2.18633 | + | 0.840615i | ||||
\(907\) | −2357.82 | + | 1099.47i | −0.0863177 | + | 0.0402506i | −0.465298 | − | 0.885154i | \(-0.654053\pi\) |
0.378980 | + | 0.925405i | \(0.376275\pi\) | |||||||
\(908\) | 5191.47 | + | 19374.8i | 0.189741 | + | 0.708124i | ||||
\(909\) | 10485.9 | − | 3394.50i | 0.382615 | − | 0.123860i | ||||
\(910\) | −9364.36 | + | 7286.90i | −0.341127 | + | 0.265449i | ||||
\(911\) | −33596.1 | + | 5923.91i | −1.22183 | + | 0.215442i | −0.747114 | − | 0.664696i | \(-0.768561\pi\) |
−0.474719 | + | 0.880138i | \(0.657450\pi\) | |||||||
\(912\) | −25715.5 | + | 6396.75i | −0.933689 | + | 0.232256i | ||||
\(913\) | 21499.2 | + | 10025.2i | 0.779321 | + | 0.363403i | ||||
\(914\) | 7966.37 | − | 45179.5i | 0.288298 | − | 1.63502i | ||||
\(915\) | 1219.12 | − | 22203.5i | 0.0440468 | − | 0.802214i | ||||
\(916\) | 27484.8 | − | 23062.5i | 0.991403 | − | 0.831886i | ||||
\(917\) | −6005.82 | − | 6005.82i | −0.216281 | − | 0.216281i | ||||
\(918\) | 56937.2 | − | 22896.3i | 2.04707 | − | 0.823191i | ||||
\(919\) | − | 13610.5i | − | 0.488542i | −0.969707 | − | 0.244271i | \(-0.921451\pi\) | ||
0.969707 | − | 0.244271i | \(-0.0785487\pi\) | |||||||
\(920\) | −285.023 | − | 5649.13i | −0.0102140 | − | 0.202442i | ||||
\(921\) | −5684.95 | − | 16539.5i | −0.203394 | − | 0.591742i | ||||
\(922\) | −21580.7 | − | 30820.5i | −0.770850 | − | 1.10089i | ||||
\(923\) | −6744.11 | + | 14462.8i | −0.240504 | + | 0.515762i | ||||
\(924\) | −19725.1 | + | 10919.8i | −0.702283 | + | 0.388783i | ||||
\(925\) | −18352.4 | + | 52632.0i | −0.652349 | + | 1.87084i | ||||
\(926\) | −46795.9 | + | 27017.6i | −1.66070 | + | 0.958806i | ||||
\(927\) | −997.881 | − | 306.269i | −0.0353557 | − | 0.0108513i | ||||
\(928\) | 7549.82 | − | 2022.97i | 0.267063 | − | 0.0715594i | ||||
\(929\) | 5816.32 | + | 2116.97i | 0.205412 | + | 0.0747637i | 0.442677 | − | 0.896681i | \(-0.354029\pi\) |
−0.237265 | + | 0.971445i | \(0.576251\pi\) | |||||||
\(930\) | −20966.2 | + | 39195.7i | −0.739256 | + | 1.38202i | ||||
\(931\) | −15502.4 | − | 13008.1i | −0.545727 | − | 0.457920i | ||||
\(932\) | −651.352 | − | 7444.98i | −0.0228924 | − | 0.261662i | ||||
\(933\) | 23743.1 | − | 32642.3i | 0.833134 | − | 1.14540i | ||||
\(934\) | −22291.6 | + | 61245.8i | −0.780947 | + | 2.14563i | ||||
\(935\) | 21436.9 | − | 52762.0i | 0.749799 | − | 1.84546i | ||||
\(936\) | −63.6383 | + | 1767.31i | −0.00222231 | + | 0.0617161i | ||||
\(937\) | 6553.48 | + | 1756.00i | 0.228487 | + | 0.0612230i | 0.371246 | − | 0.928535i | \(-0.378931\pi\) |
−0.142759 | + | 0.989758i | \(0.545597\pi\) | |||||||
\(938\) | 11006.4 | + | 7706.76i | 0.383125 | + | 0.268267i | ||||
\(939\) | 20678.4 | + | 37352.7i | 0.718652 | + | 1.29815i | ||||
\(940\) | 12462.3 | − | 6595.23i | 0.432422 | − | 0.228843i | ||||
\(941\) | −13980.5 | − | 2465.15i | −0.484328 | − | 0.0854001i | −0.0738478 | − | 0.997270i | \(-0.523528\pi\) |
−0.410480 | + | 0.911869i | \(0.634639\pi\) | |||||||
\(942\) | 10398.5 | − | 21290.8i | 0.359663 | − | 0.736403i | ||||
\(943\) | 30468.5 | + | 2665.65i | 1.05217 | + | 0.0920525i | ||||
\(944\) | −12795.6 | −0.441166 | ||||||||
\(945\) | 12643.9 | + | 10686.8i | 0.435244 | + | 0.367874i | ||||
\(946\) | −54591.6 | −1.87624 | ||||||||
\(947\) | −27640.0 | − | 2418.19i | −0.948446 | − | 0.0829783i | −0.397576 | − | 0.917569i | \(-0.630149\pi\) |
−0.550870 | + | 0.834591i | \(0.685704\pi\) | |||||||
\(948\) | 20078.9 | + | 29803.1i | 0.687903 | + | 1.02105i | ||||
\(949\) | 11452.0 | + | 2019.29i | 0.391725 | + | 0.0690716i | ||||
\(950\) | −43993.0 | − | 7143.64i | −1.50244 | − | 0.243969i | ||||
\(951\) | −28520.6 | + | 47407.9i | −0.972496 | + | 1.61652i | ||||
\(952\) | 2463.38 | + | 1724.87i | 0.0838639 | + | 0.0587222i | ||||
\(953\) | 37724.7 | + | 10108.3i | 1.28229 | + | 0.343588i | 0.834727 | − | 0.550664i | \(-0.185625\pi\) |
0.447563 | + | 0.894253i | \(0.352292\pi\) | |||||||
\(954\) | 18159.0 | − | 20123.6i | 0.616266 | − | 0.682939i | ||||
\(955\) | −17305.8 | − | 40991.8i | −0.586390 | − | 1.38897i | ||||
\(956\) | 8781.22 | − | 24126.2i | 0.297076 | − | 0.816211i | ||||
\(957\) | 3022.11 | + | 6797.70i | 0.102080 | + | 0.229612i | ||||
\(958\) | 4369.48 | + | 49943.4i | 0.147361 | + | 1.68434i | ||||
\(959\) | −14163.0 | − | 11884.2i | −0.476901 | − | 0.400167i | ||||
\(960\) | −25081.8 | − | 23506.3i | −0.843241 | − | 0.790272i | ||||
\(961\) | −5044.41 | − | 1836.01i | −0.169326 | − | 0.0616298i | ||||
\(962\) | −43310.9 | + | 11605.1i | −1.45156 | + | 0.388944i | ||||
\(963\) | −27013.7 | − | 20402.3i | −0.903950 | − | 0.682716i | ||||
\(964\) | −45614.9 | + | 26335.8i | −1.52402 | + | 0.879895i | ||||
\(965\) | 28614.6 | − | 9235.86i | 0.954547 | − | 0.308096i | ||||
\(966\) | 766.526 | − | 42588.4i | 0.0255306 | − | 1.41849i | ||||
\(967\) | −2817.54 | + | 6042.22i | −0.0936979 | + | 0.200936i | −0.947571 | − | 0.319546i | \(-0.896470\pi\) |
0.853873 | + | 0.520481i | \(0.174247\pi\) | |||||||
\(968\) | 1413.39 | + | 2018.53i | 0.0469299 | + | 0.0670228i | ||||
\(969\) | −31949.9 | + | 36713.9i | −1.05922 | + | 1.21715i | ||||
\(970\) | −35854.4 | + | 1809.01i | −1.18682 | + | 0.0598801i | ||||
\(971\) | 14309.5i | 0.472929i | 0.971640 | + | 0.236465i | \(0.0759887\pi\) | ||||
−0.971640 | + | 0.236465i | \(0.924011\pi\) | |||||||
\(972\) | 32288.8 | − | 5603.01i | 1.06550 | − | 0.184894i | ||||
\(973\) | −332.177 | − | 332.177i | −0.0109446 | − | 0.0109446i | ||||
\(974\) | 58631.2 | − | 49197.4i | 1.92881 | − | 1.61847i | ||||
\(975\) | 6828.47 | − | 14475.6i | 0.224293 | − | 0.475476i | ||||
\(976\) | −3879.35 | + | 22000.9i | −0.127228 | + | 0.721548i | ||||
\(977\) | −6069.58 | − | 2830.29i | −0.198755 | − | 0.0926808i | 0.320693 | − | 0.947183i | \(-0.396084\pi\) |
−0.519447 | + | 0.854503i | \(0.673862\pi\) | |||||||
\(978\) | 12572.8 | + | 13033.7i | 0.411079 | + | 0.426147i | ||||
\(979\) | 14969.6 | − | 2639.54i | 0.488692 | − | 0.0861696i | ||||
\(980\) | 2773.44 | − | 22229.7i | 0.0904022 | − | 0.724593i | ||||
\(981\) | −3348.36 | − | 24014.1i | −0.108975 | − | 0.781561i | ||||
\(982\) | −3300.63 | − | 12318.1i | −0.107258 | − | 0.400292i | ||||
\(983\) | −9043.73 | + | 4217.16i | −0.293439 | + | 0.136833i | −0.563763 | − | 0.825937i | \(-0.690647\pi\) |
0.270324 | + | 0.962769i | \(0.412869\pi\) | |||||||
\(984\) | −1725.52 | + | 1395.75i | −0.0559020 | + | 0.0452183i | ||||
\(985\) | 5975.96 | − | 9522.20i | 0.193310 | − | 0.308023i | ||||
\(986\) | 8471.17 | − | 10095.5i | 0.273607 | − | 0.326073i | ||||
\(987\) | 7305.10 | − | 3247.69i | 0.235587 | − | 0.104737i | ||||
\(988\) | −7872.36 | − | 16882.3i | −0.253495 | − | 0.543622i | ||||
\(989\) | 26793.0 | − | 46406.9i | 0.861445 | − | 1.49207i | ||||
\(990\) | 32879.3 | − | 48427.8i | 1.05553 | − | 1.55468i | ||||
\(991\) | 4382.34 | + | 7590.44i | 0.140474 | + | 0.243308i | 0.927675 | − | 0.373388i | \(-0.121804\pi\) |
−0.787201 | + | 0.616696i | \(0.788471\pi\) | |||||||
\(992\) | 27901.4 | − | 39847.4i | 0.893016 | − | 1.27536i | ||||
\(993\) | −535.412 | − | 2152.40i | −0.0171106 | − | 0.0687858i | ||||
\(994\) | 9539.27 | + | 26208.9i | 0.304394 | + | 0.836314i | ||||
\(995\) | −20438.6 | − | 22003.5i | −0.651203 | − | 0.701064i | ||||
\(996\) | 4293.94 | − | 22026.5i | 0.136605 | − | 0.700739i | ||||
\(997\) | −3177.59 | + | 36320.0i | −0.100938 | + | 1.15373i | 0.761708 | + | 0.647920i | \(0.224361\pi\) |
−0.862646 | + | 0.505808i | \(0.831195\pi\) | |||||||
\(998\) | 15759.9 | − | 15759.9i | 0.499871 | − | 0.499871i | ||||
\(999\) | 28311.1 | + | 55788.3i | 0.896621 | + | 1.76683i |
(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 | 135.4.q.a.113.9 | yes | 624 | |
5.2 | odd | 4 | inner | 135.4.q.a.32.44 | ✓ | 624 | |
27.11 | odd | 18 | inner | 135.4.q.a.38.44 | yes | 624 | |
135.92 | even | 36 | inner | 135.4.q.a.92.9 | yes | 624 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.4.q.a.32.44 | ✓ | 624 | 5.2 | odd | 4 | inner | |
135.4.q.a.38.44 | yes | 624 | 27.11 | odd | 18 | inner | |
135.4.q.a.92.9 | yes | 624 | 135.92 | even | 36 | inner | |
135.4.q.a.113.9 | yes | 624 | 1.1 | even | 1 | trivial |