Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,4,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), 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: | \(4.36614134042\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Character | \(\chi\) | \(=\) | 74.9 |
Dual form | 74.4.f.a.33.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.347296 | − | 1.96962i | −0.122788 | − | 0.696364i | ||||
\(3\) | −1.43352 | + | 8.12991i | −0.275881 | + | 1.56460i | 0.460267 | + | 0.887781i | \(0.347754\pi\) |
−0.736148 | + | 0.676820i | \(0.763357\pi\) | |||||||
\(4\) | −3.75877 | + | 1.36808i | −0.469846 | + | 0.171010i | ||||
\(5\) | −2.21967 | − | 1.86252i | −0.198533 | − | 0.166589i | 0.538101 | − | 0.842880i | \(-0.319142\pi\) |
−0.736635 | + | 0.676291i | \(0.763586\pi\) | |||||||
\(6\) | 16.5106 | 1.12341 | ||||||||
\(7\) | −21.7866 | − | 18.2811i | −1.17637 | − | 0.987088i | −0.999996 | − | 0.00276366i | \(-0.999120\pi\) |
−0.176369 | − | 0.984324i | \(-0.556435\pi\) | |||||||
\(8\) | 4.00000 | + | 6.92820i | 0.176777 | + | 0.306186i | ||||
\(9\) | −38.6687 | − | 14.0742i | −1.43217 | − | 0.521268i | ||||
\(10\) | −2.89757 | + | 5.01874i | −0.0916293 | + | 0.158707i | ||||
\(11\) | −14.7962 | − | 25.6277i | −0.405565 | − | 0.702459i | 0.588822 | − | 0.808262i | \(-0.299592\pi\) |
−0.994387 | + | 0.105804i | \(0.966258\pi\) | |||||||
\(12\) | −5.73409 | − | 32.5196i | −0.137941 | − | 0.782301i | ||||
\(13\) | −35.3427 | + | 12.8637i | −0.754023 | + | 0.274442i | −0.690297 | − | 0.723526i | \(-0.742520\pi\) |
−0.0637252 | + | 0.997967i | \(0.520298\pi\) | |||||||
\(14\) | −28.4404 | + | 49.2602i | −0.542929 | + | 0.940381i | ||||
\(15\) | 18.3241 | − | 15.3757i | 0.315417 | − | 0.264666i | ||||
\(16\) | 12.2567 | − | 10.2846i | 0.191511 | − | 0.160697i | ||||
\(17\) | 31.2096 | + | 11.3594i | 0.445261 | + | 0.162062i | 0.554913 | − | 0.831908i | \(-0.312751\pi\) |
−0.109652 | + | 0.993970i | \(0.534974\pi\) | |||||||
\(18\) | −14.2914 | + | 81.0504i | −0.187139 | + | 1.06132i | ||||
\(19\) | −21.5046 | + | 121.959i | −0.259658 | + | 1.47259i | 0.524170 | + | 0.851614i | \(0.324376\pi\) |
−0.783828 | + | 0.620978i | \(0.786736\pi\) | |||||||
\(20\) | 10.8913 | + | 3.96411i | 0.121769 | + | 0.0443201i | ||||
\(21\) | 179.855 | − | 150.917i | 1.86894 | − | 1.56822i | ||||
\(22\) | −45.3381 | + | 38.0432i | −0.439369 | + | 0.368674i | ||||
\(23\) | −78.7697 | + | 136.433i | −0.714114 | + | 1.23688i | 0.249187 | + | 0.968455i | \(0.419837\pi\) |
−0.963300 | + | 0.268425i | \(0.913497\pi\) | |||||||
\(24\) | −62.0597 | + | 22.5879i | −0.527829 | + | 0.192114i | ||||
\(25\) | −20.2481 | − | 114.833i | −0.161985 | − | 0.918661i | ||||
\(26\) | 37.6109 | + | 65.1440i | 0.283696 | + | 0.491376i | ||||
\(27\) | 58.4078 | − | 101.165i | 0.416318 | − | 0.721085i | ||||
\(28\) | 106.901 | + | 38.9087i | 0.721513 | + | 0.262609i | ||||
\(29\) | −73.5919 | − | 127.465i | −0.471230 | − | 0.816195i | 0.528228 | − | 0.849103i | \(-0.322857\pi\) |
−0.999458 | + | 0.0329076i | \(0.989523\pi\) | |||||||
\(30\) | −36.6482 | − | 30.7515i | −0.223034 | − | 0.187147i | ||||
\(31\) | 36.4653 | 0.211270 | 0.105635 | − | 0.994405i | \(-0.466313\pi\) | ||||
0.105635 | + | 0.994405i | \(0.466313\pi\) | |||||||
\(32\) | −24.5134 | − | 20.5692i | −0.135419 | − | 0.113630i | ||||
\(33\) | 229.561 | − | 83.5535i | 1.21096 | − | 0.440752i | ||||
\(34\) | 11.5346 | − | 65.4160i | 0.0581814 | − | 0.329963i | ||||
\(35\) | 14.3100 | + | 81.1561i | 0.0691095 | + | 0.391939i | ||||
\(36\) | 164.601 | 0.762044 | ||||||||
\(37\) | 200.463 | − | 102.312i | 0.890698 | − | 0.454595i | ||||
\(38\) | 247.680 | 1.05734 | ||||||||
\(39\) | −53.9160 | − | 305.773i | −0.221371 | − | 1.25546i | ||||
\(40\) | 4.02526 | − | 22.8284i | 0.0159113 | − | 0.0902372i | ||||
\(41\) | −325.103 | + | 118.328i | −1.23835 | + | 0.450724i | −0.876451 | − | 0.481492i | \(-0.840095\pi\) |
−0.361903 | + | 0.932216i | \(0.617873\pi\) | |||||||
\(42\) | −359.711 | − | 301.833i | −1.32154 | − | 1.10890i | ||||
\(43\) | 160.652 | 0.569751 | 0.284875 | − | 0.958565i | \(-0.408048\pi\) | ||||
0.284875 | + | 0.958565i | \(0.408048\pi\) | |||||||
\(44\) | 90.6762 | + | 76.0863i | 0.310681 | + | 0.260692i | ||||
\(45\) | 59.6180 | + | 103.261i | 0.197496 | + | 0.342074i | ||||
\(46\) | 296.077 | + | 107.763i | 0.949004 | + | 0.345409i | ||||
\(47\) | −271.116 | + | 469.587i | −0.841412 | + | 1.45737i | 0.0472896 | + | 0.998881i | \(0.484942\pi\) |
−0.888701 | + | 0.458487i | \(0.848392\pi\) | |||||||
\(48\) | 66.0426 | + | 114.389i | 0.198592 | + | 0.343972i | ||||
\(49\) | 80.8949 | + | 458.778i | 0.235845 | + | 1.33754i | ||||
\(50\) | −219.144 | + | 79.7619i | −0.619833 | + | 0.225601i | ||||
\(51\) | −137.090 | + | 237.447i | −0.376401 | + | 0.651946i | ||||
\(52\) | 115.246 | − | 96.7033i | 0.307342 | − | 0.257891i | ||||
\(53\) | 3.05085 | − | 2.55997i | 0.00790692 | − | 0.00663469i | −0.638826 | − | 0.769352i | \(-0.720579\pi\) |
0.646733 | + | 0.762717i | \(0.276135\pi\) | |||||||
\(54\) | −219.542 | − | 79.9066i | −0.553256 | − | 0.201369i | ||||
\(55\) | −14.8896 | + | 84.4432i | −0.0365039 | + | 0.207024i | ||||
\(56\) | 39.5090 | − | 224.066i | 0.0942787 | − | 0.534681i | ||||
\(57\) | −960.685 | − | 349.661i | −2.23238 | − | 0.812521i | ||||
\(58\) | −225.499 | + | 189.216i | −0.510508 | + | 0.428367i | ||||
\(59\) | −104.362 | + | 87.5697i | −0.230283 | + | 0.193231i | −0.750627 | − | 0.660726i | \(-0.770248\pi\) |
0.520344 | + | 0.853957i | \(0.325804\pi\) | |||||||
\(60\) | −47.8408 | + | 82.8627i | −0.102937 | + | 0.178292i | ||||
\(61\) | 868.781 | − | 316.211i | 1.82354 | − | 0.663715i | 0.829016 | − | 0.559225i | \(-0.188901\pi\) |
0.994526 | − | 0.104489i | \(-0.0333208\pi\) | |||||||
\(62\) | −12.6643 | − | 71.8226i | −0.0259413 | − | 0.147121i | ||||
\(63\) | 585.166 | + | 1013.54i | 1.17022 | + | 2.02688i | ||||
\(64\) | −32.0000 | + | 55.4256i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 102.408 | + | 37.2734i | 0.195418 | + | 0.0711262i | ||||
\(66\) | −244.294 | − | 423.130i | −0.455614 | − | 0.789147i | ||||
\(67\) | −209.401 | − | 175.708i | −0.381827 | − | 0.320391i | 0.431592 | − | 0.902069i | \(-0.357952\pi\) |
−0.813419 | + | 0.581678i | \(0.802396\pi\) | |||||||
\(68\) | −132.850 | −0.236919 | ||||||||
\(69\) | −996.270 | − | 835.970i | −1.73821 | − | 1.45854i | ||||
\(70\) | 154.876 | − | 56.3704i | 0.264447 | − | 0.0962508i | ||||
\(71\) | 118.178 | − | 670.220i | 0.197537 | − | 1.12029i | −0.711222 | − | 0.702968i | \(-0.751858\pi\) |
0.908759 | − | 0.417321i | \(-0.137031\pi\) | |||||||
\(72\) | −57.1655 | − | 324.201i | −0.0935696 | − | 0.530660i | ||||
\(73\) | −537.365 | −0.861558 | −0.430779 | − | 0.902457i | \(-0.641761\pi\) | ||||
−0.430779 | + | 0.902457i | \(0.641761\pi\) | |||||||
\(74\) | −271.136 | − | 359.301i | −0.425931 | − | 0.564432i | ||||
\(75\) | 962.604 | 1.48203 | ||||||||
\(76\) | −86.0184 | − | 487.835i | −0.129829 | − | 0.736296i | ||||
\(77\) | −146.145 | + | 828.831i | −0.216296 | + | 1.22668i | ||||
\(78\) | −583.530 | + | 212.388i | −0.847074 | + | 0.308310i | ||||
\(79\) | −100.265 | − | 84.1322i | −0.142793 | − | 0.119818i | 0.568593 | − | 0.822619i | \(-0.307488\pi\) |
−0.711386 | + | 0.702801i | \(0.751932\pi\) | |||||||
\(80\) | −46.3611 | −0.0647917 | ||||||||
\(81\) | −112.385 | − | 94.3022i | −0.154163 | − | 0.129358i | ||||
\(82\) | 345.967 | + | 599.232i | 0.465923 | + | 0.807002i | ||||
\(83\) | −293.536 | − | 106.838i | −0.388190 | − | 0.141289i | 0.140550 | − | 0.990074i | \(-0.455113\pi\) |
−0.528740 | + | 0.848784i | \(0.677335\pi\) | |||||||
\(84\) | −469.569 | + | 813.317i | −0.609931 | + | 1.05643i | ||||
\(85\) | −48.1179 | − | 83.3427i | −0.0614014 | − | 0.106350i | ||||
\(86\) | −55.7940 | − | 316.424i | −0.0699584 | − | 0.396754i | ||||
\(87\) | 1141.77 | − | 415.572i | 1.40702 | − | 0.512115i | ||||
\(88\) | 118.369 | − | 205.022i | 0.143389 | − | 0.248357i | ||||
\(89\) | −250.855 | + | 210.492i | −0.298770 | + | 0.250698i | −0.779832 | − | 0.625989i | \(-0.784696\pi\) |
0.481062 | + | 0.876687i | \(0.340251\pi\) | |||||||
\(90\) | 182.680 | − | 153.287i | 0.213958 | − | 0.179532i | ||||
\(91\) | 1005.16 | + | 365.848i | 1.15790 | + | 0.421443i | ||||
\(92\) | 109.426 | − | 620.584i | 0.124005 | − | 0.703265i | ||||
\(93\) | −52.2738 | + | 296.459i | −0.0582854 | + | 0.330553i | ||||
\(94\) | 1019.06 | + | 370.909i | 1.11817 | + | 0.406982i | ||||
\(95\) | 274.884 | − | 230.655i | 0.296868 | − | 0.249102i | ||||
\(96\) | 202.366 | − | 169.805i | 0.215145 | − | 0.180528i | ||||
\(97\) | −761.149 | + | 1318.35i | −0.796731 | + | 1.37998i | 0.125003 | + | 0.992156i | \(0.460106\pi\) |
−0.921734 | + | 0.387823i | \(0.873227\pi\) | |||||||
\(98\) | 875.521 | − | 318.664i | 0.902459 | − | 0.328468i | ||||
\(99\) | 211.457 | + | 1199.23i | 0.214669 | + | 1.21745i | ||||
\(100\) | 233.208 | + | 403.928i | 0.233208 | + | 0.403928i | ||||
\(101\) | 629.924 | − | 1091.06i | 0.620592 | − | 1.07490i | −0.368784 | − | 0.929515i | \(-0.620226\pi\) |
0.989376 | − | 0.145382i | \(-0.0464410\pi\) | |||||||
\(102\) | 515.291 | + | 187.551i | 0.500210 | + | 0.182061i | ||||
\(103\) | 186.355 | + | 322.777i | 0.178273 | + | 0.308778i | 0.941289 | − | 0.337601i | \(-0.109616\pi\) |
−0.763016 | + | 0.646380i | \(0.776282\pi\) | |||||||
\(104\) | −230.493 | − | 193.407i | −0.217324 | − | 0.182356i | ||||
\(105\) | −680.305 | −0.632295 | ||||||||
\(106\) | −6.10170 | − | 5.11994i | −0.00559104 | − | 0.00469144i | ||||
\(107\) | −1569.20 | + | 571.142i | −1.41776 | + | 0.516023i | −0.933397 | − | 0.358844i | \(-0.883171\pi\) |
−0.484363 | + | 0.874867i | \(0.660949\pi\) | |||||||
\(108\) | −81.1393 | + | 460.164i | −0.0722929 | + | 0.409994i | ||||
\(109\) | −345.108 | − | 1957.21i | −0.303260 | − | 1.71988i | −0.631582 | − | 0.775309i | \(-0.717594\pi\) |
0.328321 | − | 0.944566i | \(-0.393517\pi\) | |||||||
\(110\) | 171.492 | 0.148646 | ||||||||
\(111\) | 544.421 | + | 1776.41i | 0.465533 | + | 1.51900i | ||||
\(112\) | −455.046 | −0.383909 | ||||||||
\(113\) | −94.1657 | − | 534.040i | −0.0783926 | − | 0.444587i | −0.998588 | − | 0.0531267i | \(-0.983081\pi\) |
0.920195 | − | 0.391460i | \(-0.128030\pi\) | |||||||
\(114\) | −355.055 | + | 2013.62i | −0.291701 | + | 1.65432i | ||||
\(115\) | 428.952 | − | 156.126i | 0.347826 | − | 0.126598i | ||||
\(116\) | 450.998 | + | 378.432i | 0.360983 | + | 0.302901i | ||||
\(117\) | 1547.70 | 1.22295 | ||||||||
\(118\) | 208.723 | + | 175.139i | 0.162835 | + | 0.136635i | ||||
\(119\) | −472.289 | − | 818.029i | −0.363821 | − | 0.630156i | ||||
\(120\) | 179.823 | + | 65.4500i | 0.136796 | + | 0.0497895i | ||||
\(121\) | 227.647 | − | 394.296i | 0.171035 | − | 0.296241i | ||||
\(122\) | −924.538 | − | 1601.35i | −0.686096 | − | 1.18835i | ||||
\(123\) | −495.951 | − | 2812.68i | −0.363564 | − | 2.06188i | ||||
\(124\) | −137.065 | + | 49.8875i | −0.0992643 | + | 0.0361292i | ||||
\(125\) | −350.033 | + | 606.274i | −0.250463 | + | 0.433815i | ||||
\(126\) | 1793.05 | − | 1504.55i | 1.26776 | − | 1.06378i | ||||
\(127\) | 1886.31 | − | 1582.80i | 1.31798 | − | 1.10591i | 0.331246 | − | 0.943544i | \(-0.392531\pi\) |
0.986730 | − | 0.162369i | \(-0.0519134\pi\) | |||||||
\(128\) | 120.281 | + | 43.7786i | 0.0830579 | + | 0.0302306i | ||||
\(129\) | −230.299 | + | 1306.09i | −0.157184 | + | 0.891432i | ||||
\(130\) | 37.8484 | − | 214.649i | 0.0255348 | − | 0.144815i | ||||
\(131\) | −1461.09 | − | 531.794i | −0.974476 | − | 0.354680i | −0.194786 | − | 0.980846i | \(-0.562401\pi\) |
−0.779690 | + | 0.626166i | \(0.784623\pi\) | |||||||
\(132\) | −748.561 | + | 628.117i | −0.493590 | + | 0.414171i | ||||
\(133\) | 2698.05 | − | 2263.94i | 1.75903 | − | 1.47600i | ||||
\(134\) | −273.354 | + | 473.462i | −0.176225 | + | 0.305231i | ||||
\(135\) | −318.069 | + | 115.768i | −0.202778 | + | 0.0738051i | ||||
\(136\) | 46.1384 | + | 261.664i | 0.0290907 | + | 0.164982i | ||||
\(137\) | 1519.54 | + | 2631.92i | 0.947612 | + | 1.64131i | 0.750435 | + | 0.660945i | \(0.229844\pi\) |
0.197177 | + | 0.980368i | \(0.436822\pi\) | |||||||
\(138\) | −1300.54 | + | 2252.60i | −0.802240 | + | 1.38952i | ||||
\(139\) | 540.740 | + | 196.813i | 0.329964 | + | 0.120097i | 0.501689 | − | 0.865048i | \(-0.332712\pi\) |
−0.171726 | + | 0.985145i | \(0.554934\pi\) | |||||||
\(140\) | −164.816 | − | 285.470i | −0.0994964 | − | 0.172333i | ||||
\(141\) | −3429.05 | − | 2877.31i | −2.04807 | − | 1.71853i | ||||
\(142\) | −1361.12 | −0.804384 | ||||||||
\(143\) | 852.603 | + | 715.419i | 0.498589 | + | 0.418366i | ||||
\(144\) | −618.699 | + | 225.188i | −0.358043 | + | 0.130317i | ||||
\(145\) | −74.0568 | + | 419.997i | −0.0424143 | + | 0.240544i | ||||
\(146\) | 186.625 | + | 1058.40i | 0.105789 | + | 0.599958i | ||||
\(147\) | −3845.78 | −2.15779 | ||||||||
\(148\) | −613.521 | + | 658.817i | −0.340751 | + | 0.365908i | ||||
\(149\) | −1473.67 | −0.810256 | −0.405128 | − | 0.914260i | \(-0.632773\pi\) | ||||
−0.405128 | + | 0.914260i | \(0.632773\pi\) | |||||||
\(150\) | −334.309 | − | 1895.96i | −0.181975 | − | 1.03203i | ||||
\(151\) | −631.797 | + | 3583.10i | −0.340496 | + | 1.93105i | 0.0236831 | + | 0.999720i | \(0.492461\pi\) |
−0.364179 | + | 0.931329i | \(0.618650\pi\) | |||||||
\(152\) | −930.973 | + | 338.846i | −0.496789 | + | 0.180816i | ||||
\(153\) | −1046.96 | − | 878.504i | −0.553214 | − | 0.464201i | ||||
\(154\) | 1683.23 | 0.880772 | ||||||||
\(155\) | −80.9409 | − | 67.9175i | −0.0419440 | − | 0.0351952i | ||||
\(156\) | 620.980 | + | 1075.57i | 0.318706 | + | 0.552016i | ||||
\(157\) | 1076.45 | + | 391.794i | 0.547196 | + | 0.199163i | 0.600800 | − | 0.799399i | \(-0.294849\pi\) |
−0.0536045 | + | 0.998562i | \(0.517071\pi\) | |||||||
\(158\) | −130.887 | + | 226.702i | −0.0659036 | + | 0.114148i | ||||
\(159\) | 16.4388 | + | 28.4729i | 0.00819927 | + | 0.0142016i | ||||
\(160\) | 16.1011 | + | 91.3136i | 0.00795563 | + | 0.0451186i | ||||
\(161\) | 4210.27 | − | 1532.41i | 2.06097 | − | 0.750131i | ||||
\(162\) | −146.708 | + | 254.106i | −0.0711511 | + | 0.123237i | ||||
\(163\) | −1164.68 | + | 977.280i | −0.559660 | + | 0.469610i | −0.878196 | − | 0.478300i | \(-0.841253\pi\) |
0.318536 | + | 0.947911i | \(0.396809\pi\) | |||||||
\(164\) | 1060.10 | − | 889.533i | 0.504758 | − | 0.423542i | ||||
\(165\) | −665.171 | − | 242.102i | −0.313839 | − | 0.114228i | ||||
\(166\) | −108.486 | + | 615.257i | −0.0507240 | + | 0.287670i | ||||
\(167\) | 335.454 | − | 1902.46i | 0.155439 | − | 0.881536i | −0.802945 | − | 0.596053i | \(-0.796735\pi\) |
0.958384 | − | 0.285483i | \(-0.0921540\pi\) | |||||||
\(168\) | 1765.00 | + | 642.408i | 0.810553 | + | 0.295017i | ||||
\(169\) | −599.369 | + | 502.930i | −0.272813 | + | 0.228917i | ||||
\(170\) | −147.442 | + | 123.718i | −0.0665192 | + | 0.0558163i | ||||
\(171\) | 2548.03 | − | 4413.32i | 1.13949 | − | 1.97366i | ||||
\(172\) | −603.856 | + | 219.786i | −0.267695 | + | 0.0974331i | ||||
\(173\) | −104.773 | − | 594.195i | −0.0460446 | − | 0.261132i | 0.953092 | − | 0.302681i | \(-0.0978818\pi\) |
−0.999136 | + | 0.0415493i | \(0.986771\pi\) | |||||||
\(174\) | −1215.05 | − | 2104.53i | −0.529384 | − | 0.916919i | ||||
\(175\) | −1658.13 | + | 2871.97i | −0.716246 | + | 1.24057i | ||||
\(176\) | −444.923 | − | 161.939i | −0.190553 | − | 0.0693556i | ||||
\(177\) | −562.329 | − | 973.982i | −0.238798 | − | 0.413610i | ||||
\(178\) | 501.710 | + | 420.984i | 0.211262 | + | 0.177270i | ||||
\(179\) | −1559.18 | −0.651055 | −0.325528 | − | 0.945533i | \(-0.605542\pi\) | ||||
−0.325528 | + | 0.945533i | \(0.605542\pi\) | |||||||
\(180\) | −365.361 | − | 306.574i | −0.151291 | − | 0.126948i | ||||
\(181\) | −1575.18 | + | 573.317i | −0.646861 | + | 0.235438i | −0.644554 | − | 0.764559i | \(-0.722957\pi\) |
−0.00230760 | + | 0.999997i | \(0.500735\pi\) | |||||||
\(182\) | 371.492 | − | 2106.83i | 0.151301 | − | 0.858071i | ||||
\(183\) | 1325.34 | + | 7516.40i | 0.535368 | + | 3.03622i | ||||
\(184\) | −1260.31 | −0.504954 | ||||||||
\(185\) | −635.519 | − | 146.267i | −0.252564 | − | 0.0581284i | ||||
\(186\) | 602.066 | 0.237342 | ||||||||
\(187\) | −170.668 | − | 967.906i | −0.0667405 | − | 0.378504i | ||||
\(188\) | 376.631 | − | 2135.98i | 0.146110 | − | 0.828629i | ||||
\(189\) | −3121.92 | + | 1136.29i | −1.20152 | + | 0.437316i | ||||
\(190\) | −549.768 | − | 461.310i | −0.209918 | − | 0.176142i | ||||
\(191\) | −1587.56 | −0.601422 | −0.300711 | − | 0.953715i | \(-0.597224\pi\) | ||||
−0.300711 | + | 0.953715i | \(0.597224\pi\) | |||||||
\(192\) | −404.732 | − | 339.611i | −0.152130 | − | 0.127653i | ||||
\(193\) | −600.453 | − | 1040.01i | −0.223946 | − | 0.387886i | 0.732057 | − | 0.681244i | \(-0.238561\pi\) |
−0.956003 | + | 0.293358i | \(0.905227\pi\) | |||||||
\(194\) | 2860.98 | + | 1041.31i | 1.05880 | + | 0.385371i | ||||
\(195\) | −449.834 | + | 779.135i | −0.165196 | + | 0.286128i | ||||
\(196\) | −931.710 | − | 1613.77i | −0.339544 | − | 0.588108i | ||||
\(197\) | 697.499 | + | 3955.72i | 0.252258 | + | 1.43062i | 0.803015 | + | 0.595959i | \(0.203228\pi\) |
−0.550757 | + | 0.834666i | \(0.685661\pi\) | |||||||
\(198\) | 2288.59 | − | 832.980i | 0.821430 | − | 0.298976i | ||||
\(199\) | 1466.55 | − | 2540.14i | 0.522417 | − | 0.904853i | −0.477243 | − | 0.878771i | \(-0.658364\pi\) |
0.999660 | − | 0.0260812i | \(-0.00830285\pi\) | |||||||
\(200\) | 714.591 | − | 599.613i | 0.252646 | − | 0.211995i | ||||
\(201\) | 1728.67 | − | 1450.53i | 0.606623 | − | 0.509017i | ||||
\(202\) | −2367.74 | − | 861.787i | −0.824721 | − | 0.300174i | ||||
\(203\) | −726.885 | + | 4122.37i | −0.251317 | + | 1.42529i | ||||
\(204\) | 190.444 | − | 1080.06i | 0.0653614 | − | 0.370683i | ||||
\(205\) | 942.008 | + | 342.863i | 0.320940 | + | 0.116813i | ||||
\(206\) | 571.026 | − | 479.148i | 0.193132 | − | 0.162057i | ||||
\(207\) | 4966.11 | − | 4167.06i | 1.66748 | − | 1.39918i | ||||
\(208\) | −300.887 | + | 521.152i | −0.100302 | + | 0.173728i | ||||
\(209\) | 3443.71 | − | 1253.41i | 1.13974 | − | 0.414832i | ||||
\(210\) | 236.267 | + | 1339.94i | 0.0776381 | + | 0.440308i | ||||
\(211\) | 1672.68 | + | 2897.18i | 0.545746 | + | 0.945260i | 0.998560 | + | 0.0536544i | \(0.0170869\pi\) |
−0.452814 | + | 0.891605i | \(0.649580\pi\) | |||||||
\(212\) | −7.96521 | + | 13.7961i | −0.00258044 | + | 0.00446945i | ||||
\(213\) | 5279.42 | + | 1921.55i | 1.69831 | + | 0.618134i | ||||
\(214\) | 1669.91 | + | 2892.37i | 0.533423 | + | 0.923916i | ||||
\(215\) | −356.595 | − | 299.219i | −0.113114 | − | 0.0949143i | ||||
\(216\) | 934.526 | 0.294382 | ||||||||
\(217\) | −794.454 | − | 666.626i | −0.248530 | − | 0.208542i | ||||
\(218\) | −3735.09 | + | 1359.46i | −1.16042 | + | 0.422359i | ||||
\(219\) | 770.324 | − | 4368.72i | 0.237688 | − | 1.34800i | ||||
\(220\) | −59.5585 | − | 337.773i | −0.0182520 | − | 0.103512i | ||||
\(221\) | −1249.15 | −0.380214 | ||||||||
\(222\) | 3309.77 | − | 1689.24i | 1.00062 | − | 0.510695i | ||||
\(223\) | −2687.13 | −0.806921 | −0.403460 | − | 0.914997i | \(-0.632193\pi\) | ||||
−0.403460 | + | 0.914997i | \(0.632193\pi\) | |||||||
\(224\) | 158.036 | + | 896.266i | 0.0471393 | + | 0.267340i | ||||
\(225\) | −833.216 | + | 4725.40i | −0.246879 | + | 1.40012i | ||||
\(226\) | −1019.15 | + | 370.940i | −0.299969 | + | 0.109180i | ||||
\(227\) | 4021.82 | + | 3374.71i | 1.17594 | + | 0.986727i | 0.999997 | + | 0.00232626i | \(0.000740471\pi\) |
0.175939 | + | 0.984401i | \(0.443704\pi\) | |||||||
\(228\) | 4089.36 | 1.18783 | ||||||||
\(229\) | 657.046 | + | 551.327i | 0.189602 | + | 0.159095i | 0.732647 | − | 0.680608i | \(-0.238284\pi\) |
−0.543046 | + | 0.839703i | \(0.682729\pi\) | |||||||
\(230\) | −456.482 | − | 790.649i | −0.130867 | − | 0.226669i | ||||
\(231\) | −6528.81 | − | 2376.29i | −1.85959 | − | 0.676834i | ||||
\(232\) | 588.736 | − | 1019.72i | 0.166605 | − | 0.288568i | ||||
\(233\) | 2234.27 | + | 3869.87i | 0.628206 | + | 1.08808i | 0.987912 | + | 0.155019i | \(0.0495439\pi\) |
−0.359705 | + | 0.933066i | \(0.617123\pi\) | |||||||
\(234\) | −537.511 | − | 3048.38i | −0.150163 | − | 0.851618i | ||||
\(235\) | 1476.40 | − | 537.367i | 0.409830 | − | 0.149166i | ||||
\(236\) | 272.469 | − | 471.929i | 0.0751534 | − | 0.130169i | ||||
\(237\) | 827.719 | − | 694.539i | 0.226861 | − | 0.190359i | ||||
\(238\) | −1447.18 | + | 1214.33i | −0.394145 | + | 0.330727i | ||||
\(239\) | −1770.88 | − | 644.547i | −0.479283 | − | 0.174445i | 0.0910700 | − | 0.995844i | \(-0.470971\pi\) |
−0.570353 | + | 0.821400i | \(0.693194\pi\) | |||||||
\(240\) | 66.4597 | − | 376.912i | 0.0178748 | − | 0.101373i | ||||
\(241\) | 274.119 | − | 1554.60i | 0.0732678 | − | 0.415522i | −0.926009 | − | 0.377501i | \(-0.876783\pi\) |
0.999277 | − | 0.0380211i | \(-0.0121054\pi\) | |||||||
\(242\) | −855.673 | − | 311.440i | −0.227292 | − | 0.0827276i | ||||
\(243\) | 3343.90 | − | 2805.86i | 0.882762 | − | 0.740725i | ||||
\(244\) | −2832.95 | + | 2377.13i | −0.743282 | + | 0.623688i | ||||
\(245\) | 674.924 | − | 1169.00i | 0.175997 | − | 0.304836i | ||||
\(246\) | −5367.65 | + | 1953.67i | −1.39118 | + | 0.506346i | ||||
\(247\) | −808.808 | − | 4586.98i | −0.208353 | − | 1.18163i | ||||
\(248\) | 145.861 | + | 252.639i | 0.0373476 | + | 0.0646879i | ||||
\(249\) | 1289.37 | − | 2233.26i | 0.328156 | − | 0.568383i | ||||
\(250\) | 1315.69 | + | 478.873i | 0.332847 | + | 0.121146i | ||||
\(251\) | −1352.43 | − | 2342.47i | −0.340097 | − | 0.589066i | 0.644353 | − | 0.764728i | \(-0.277127\pi\) |
−0.984450 | + | 0.175662i | \(0.943793\pi\) | |||||||
\(252\) | −3586.10 | − | 3009.10i | −0.896442 | − | 0.752204i | ||||
\(253\) | 4661.96 | 1.15848 | ||||||||
\(254\) | −3772.62 | − | 3165.60i | −0.931950 | − | 0.781999i | ||||
\(255\) | 746.546 | − | 271.721i | 0.183335 | − | 0.0667286i | ||||
\(256\) | 44.4539 | − | 252.111i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 521.525 | + | 2957.72i | 0.126583 | + | 0.717888i | 0.980355 | + | 0.197241i | \(0.0631982\pi\) |
−0.853772 | + | 0.520647i | \(0.825691\pi\) | |||||||
\(258\) | 2652.48 | 0.640062 | ||||||||
\(259\) | −6237.78 | − | 1435.65i | −1.49651 | − | 0.344427i | ||||
\(260\) | −435.921 | −0.103980 | ||||||||
\(261\) | 1051.73 | + | 5964.65i | 0.249427 | + | 1.41457i | ||||
\(262\) | −539.998 | + | 3062.48i | −0.127333 | + | 0.722140i | ||||
\(263\) | −864.088 | + | 314.502i | −0.202593 | + | 0.0737378i | −0.441324 | − | 0.897348i | \(-0.645491\pi\) |
0.238731 | + | 0.971086i | \(0.423269\pi\) | |||||||
\(264\) | 1497.12 | + | 1256.23i | 0.349021 | + | 0.292863i | ||||
\(265\) | −11.5399 | −0.00267505 | ||||||||
\(266\) | −5396.11 | − | 4527.87i | −1.24382 | − | 1.04369i | ||||
\(267\) | −1351.68 | − | 2341.17i | −0.309817 | − | 0.536619i | ||||
\(268\) | 1027.47 | + | 373.970i | 0.234190 | + | 0.0852382i | ||||
\(269\) | −201.501 | + | 349.010i | −0.0456719 | + | 0.0791061i | −0.887958 | − | 0.459925i | \(-0.847876\pi\) |
0.842286 | + | 0.539031i | \(0.181210\pi\) | |||||||
\(270\) | 338.482 | + | 586.268i | 0.0762939 | + | 0.132145i | ||||
\(271\) | −711.222 | − | 4033.54i | −0.159423 | − | 0.904133i | −0.954630 | − | 0.297795i | \(-0.903749\pi\) |
0.795207 | − | 0.606338i | \(-0.207362\pi\) | |||||||
\(272\) | 499.354 | − | 181.750i | 0.111315 | − | 0.0405155i | ||||
\(273\) | −4415.23 | + | 7647.40i | −0.978834 | + | 1.69539i | ||||
\(274\) | 4656.13 | − | 3906.96i | 1.02660 | − | 0.861416i | ||||
\(275\) | −2643.30 | + | 2217.99i | −0.579626 | + | 0.486364i | ||||
\(276\) | 4888.42 | + | 1779.24i | 1.06612 | + | 0.388035i | ||||
\(277\) | 409.271 | − | 2321.09i | 0.0887751 | − | 0.503469i | −0.907703 | − | 0.419614i | \(-0.862166\pi\) |
0.996478 | − | 0.0838552i | \(-0.0267233\pi\) | |||||||
\(278\) | 199.849 | − | 1133.40i | 0.0431157 | − | 0.244521i | ||||
\(279\) | −1410.06 | − | 513.222i | −0.302575 | − | 0.110128i | ||||
\(280\) | −505.026 | + | 423.767i | −0.107789 | + | 0.0904461i | ||||
\(281\) | −5672.85 | + | 4760.09i | −1.20432 | + | 1.01054i | −0.204824 | + | 0.978799i | \(0.565662\pi\) |
−0.999496 | + | 0.0317460i | \(0.989893\pi\) | |||||||
\(282\) | −4476.30 | + | 7753.18i | −0.945248 | + | 1.63722i | ||||
\(283\) | −2688.44 | + | 978.510i | −0.564703 | + | 0.205535i | −0.608567 | − | 0.793502i | \(-0.708255\pi\) |
0.0438642 | + | 0.999038i | \(0.486033\pi\) | |||||||
\(284\) | 472.712 | + | 2680.88i | 0.0987686 | + | 0.560144i | ||||
\(285\) | 1481.15 | + | 2565.43i | 0.307845 | + | 0.533203i | ||||
\(286\) | 1112.99 | − | 1927.76i | 0.230114 | − | 0.398570i | ||||
\(287\) | 9246.04 | + | 3365.28i | 1.90166 | + | 0.692148i | ||||
\(288\) | 658.406 | + | 1140.39i | 0.134712 | + | 0.233327i | ||||
\(289\) | −2918.57 | − | 2448.97i | −0.594051 | − | 0.498468i | ||||
\(290\) | 852.952 | 0.172714 | ||||||||
\(291\) | −9626.92 | − | 8077.95i | −1.93931 | − | 1.62728i | ||||
\(292\) | 2019.83 | − | 735.158i | 0.404800 | − | 0.147335i | ||||
\(293\) | −291.553 | + | 1653.48i | −0.0581321 | + | 0.329684i | −0.999980 | − | 0.00635641i | \(-0.997977\pi\) |
0.941848 | + | 0.336040i | \(0.109088\pi\) | |||||||
\(294\) | 1335.63 | + | 7574.71i | 0.264950 | + | 1.50261i | ||||
\(295\) | 394.749 | 0.0779090 | ||||||||
\(296\) | 1510.69 | + | 979.596i | 0.296645 | + | 0.192358i | ||||
\(297\) | −3456.85 | −0.675376 | ||||||||
\(298\) | 511.802 | + | 2902.57i | 0.0994895 | + | 0.564233i | ||||
\(299\) | 1028.90 | − | 5835.18i | 0.199006 | − | 1.12862i | ||||
\(300\) | −3618.21 | + | 1316.92i | −0.696325 | + | 0.253441i | ||||
\(301\) | −3500.07 | − | 2936.91i | −0.670235 | − | 0.562394i | ||||
\(302\) | 7276.74 | 1.38652 | ||||||||
\(303\) | 7967.21 | + | 6685.28i | 1.51058 | + | 1.26752i | ||||
\(304\) | 990.721 | + | 1715.98i | 0.186914 | + | 0.323744i | ||||
\(305\) | −2517.36 | − | 916.243i | −0.472601 | − | 0.172013i | ||||
\(306\) | −1366.71 | + | 2367.21i | −0.255325 | + | 0.442236i | ||||
\(307\) | −1709.22 | − | 2960.45i | −0.317753 | − | 0.550364i | 0.662266 | − | 0.749269i | \(-0.269595\pi\) |
−0.980019 | + | 0.198905i | \(0.936262\pi\) | |||||||
\(308\) | −584.581 | − | 3315.32i | −0.108148 | − | 0.613338i | ||||
\(309\) | −2891.29 | + | 1052.34i | −0.532297 | + | 0.193740i | ||||
\(310\) | −105.661 | + | 183.010i | −0.0193585 | + | 0.0335299i | ||||
\(311\) | 109.131 | − | 91.5721i | 0.0198980 | − | 0.0166964i | −0.632784 | − | 0.774328i | \(-0.718088\pi\) |
0.652682 | + | 0.757632i | \(0.273644\pi\) | |||||||
\(312\) | 1902.79 | − | 1596.63i | 0.345271 | − | 0.289717i | ||||
\(313\) | −4908.93 | − | 1786.71i | −0.886484 | − | 0.322654i | −0.141660 | − | 0.989915i | \(-0.545244\pi\) |
−0.744823 | + | 0.667262i | \(0.767466\pi\) | |||||||
\(314\) | 397.838 | − | 2256.25i | 0.0715010 | − | 0.405502i | ||||
\(315\) | 588.862 | − | 3339.60i | 0.105329 | − | 0.597350i | ||||
\(316\) | 491.972 | + | 179.063i | 0.0875810 | + | 0.0318769i | ||||
\(317\) | −5954.24 | + | 4996.20i | −1.05496 | + | 0.885220i | −0.993607 | − | 0.112896i | \(-0.963987\pi\) |
−0.0613574 | + | 0.998116i | \(0.519543\pi\) | |||||||
\(318\) | 50.3715 | − | 42.2667i | 0.00888269 | − | 0.00745346i | ||||
\(319\) | −2177.76 | + | 3771.99i | −0.382229 | + | 0.662040i | ||||
\(320\) | 174.261 | − | 63.4258i | 0.0304421 | − | 0.0110800i | ||||
\(321\) | −2393.85 | − | 13576.2i | −0.416236 | − | 2.36059i | ||||
\(322\) | −4480.48 | − | 7760.41i | −0.775426 | − | 1.34308i | ||||
\(323\) | −2056.52 | + | 3562.00i | −0.354267 | + | 0.613608i | ||||
\(324\) | 551.442 | + | 200.709i | 0.0945546 | + | 0.0344151i | ||||
\(325\) | 2192.79 | + | 3798.03i | 0.374259 | + | 0.648236i | ||||
\(326\) | 2329.35 | + | 1954.56i | 0.395739 | + | 0.332065i | ||||
\(327\) | 16406.6 | 2.77458 | ||||||||
\(328\) | −2120.21 | − | 1779.07i | −0.356918 | − | 0.299489i | ||||
\(329\) | 14491.3 | − | 5274.39i | 2.42836 | − | 0.883850i | ||||
\(330\) | −245.837 | + | 1394.21i | −0.0410088 | + | 0.232572i | ||||
\(331\) | −639.697 | − | 3627.90i | −0.106226 | − | 0.602440i | −0.990723 | − | 0.135894i | \(-0.956609\pi\) |
0.884497 | − | 0.466546i | \(-0.154502\pi\) | |||||||
\(332\) | 1249.50 | 0.206551 | ||||||||
\(333\) | −9191.59 | + | 1134.92i | −1.51260 | + | 0.186766i | ||||
\(334\) | −3863.61 | −0.632956 | ||||||||
\(335\) | 137.540 | + | 780.029i | 0.0224317 | + | 0.127216i | ||||
\(336\) | 652.318 | − | 3699.48i | 0.105913 | − | 0.600664i | ||||
\(337\) | 5687.10 | − | 2069.93i | 0.919276 | − | 0.334589i | 0.161325 | − | 0.986901i | \(-0.448423\pi\) |
0.757950 | + | 0.652312i | \(0.226201\pi\) | |||||||
\(338\) | 1198.74 | + | 1005.86i | 0.192908 | + | 0.161869i | ||||
\(339\) | 4476.69 | 0.717228 | ||||||||
\(340\) | 294.884 | + | 247.437i | 0.0470362 | + | 0.0394681i | ||||
\(341\) | −539.546 | − | 934.522i | −0.0856835 | − | 0.148408i | ||||
\(342\) | −9577.47 | − | 3485.91i | −1.51430 | − | 0.551160i | ||||
\(343\) | 1747.02 | − | 3025.93i | 0.275015 | − | 0.476340i | ||||
\(344\) | 642.610 | + | 1113.03i | 0.100719 | + | 0.174450i | ||||
\(345\) | 654.376 | + | 3711.15i | 0.102117 | + | 0.579135i | ||||
\(346\) | −1133.95 | + | 412.724i | −0.176189 | + | 0.0641276i | ||||
\(347\) | 4563.95 | − | 7904.99i | 0.706068 | − | 1.22295i | −0.260237 | − | 0.965545i | \(-0.583801\pi\) |
0.966305 | − | 0.257401i | \(-0.0828660\pi\) | |||||||
\(348\) | −3723.13 | + | 3124.08i | −0.573508 | + | 0.481230i | ||||
\(349\) | 6227.76 | − | 5225.71i | 0.955199 | − | 0.801507i | −0.0249661 | − | 0.999688i | \(-0.507948\pi\) |
0.980165 | + | 0.198181i | \(0.0635033\pi\) | |||||||
\(350\) | 6232.54 | + | 2268.46i | 0.951837 | + | 0.346441i | ||||
\(351\) | −762.931 | + | 4326.79i | −0.116018 | + | 0.657969i | ||||
\(352\) | −164.437 | + | 932.568i | −0.0248992 | + | 0.141210i | ||||
\(353\) | −8409.90 | − | 3060.95i | −1.26803 | − | 0.461524i | −0.381572 | − | 0.924339i | \(-0.624617\pi\) |
−0.886455 | + | 0.462815i | \(0.846840\pi\) | |||||||
\(354\) | −1723.08 | + | 1445.83i | −0.258702 | + | 0.217077i | ||||
\(355\) | −1510.62 | + | 1267.56i | −0.225846 | + | 0.189507i | ||||
\(356\) | 654.935 | − | 1134.38i | 0.0975042 | − | 0.168882i | ||||
\(357\) | 7327.53 | − | 2667.00i | 1.08631 | − | 0.395386i | ||||
\(358\) | 541.499 | + | 3070.99i | 0.0799416 | + | 0.453371i | ||||
\(359\) | 274.806 | + | 475.977i | 0.0404003 | + | 0.0699753i | 0.885518 | − | 0.464604i | \(-0.153803\pi\) |
−0.845118 | + | 0.534579i | \(0.820470\pi\) | |||||||
\(360\) | −476.944 | + | 826.092i | −0.0698255 | + | 0.120941i | ||||
\(361\) | −7966.12 | − | 2899.43i | −1.16141 | − | 0.422719i | ||||
\(362\) | 1676.27 | + | 2903.38i | 0.243377 | + | 0.421542i | ||||
\(363\) | 2879.25 | + | 2415.98i | 0.416313 | + | 0.349328i | ||||
\(364\) | −4278.67 | −0.616108 | ||||||||
\(365\) | 1192.77 | + | 1000.85i | 0.171048 | + | 0.143526i | ||||
\(366\) | 14344.1 | − | 5220.84i | 2.04858 | − | 0.745622i | ||||
\(367\) | −232.811 | + | 1320.33i | −0.0331134 | + | 0.187795i | −0.996878 | − | 0.0789594i | \(-0.974840\pi\) |
0.963764 | + | 0.266755i | \(0.0859514\pi\) | |||||||
\(368\) | 437.703 | + | 2482.34i | 0.0620023 | + | 0.351632i | ||||
\(369\) | 14236.7 | 2.00849 | ||||||||
\(370\) | −67.3762 | + | 1302.53i | −0.00946682 | + | 0.183014i | ||||
\(371\) | −113.267 | −0.0158504 | ||||||||
\(372\) | −209.095 | − | 1185.84i | −0.0291427 | − | 0.165276i | ||||
\(373\) | −1494.58 | + | 8476.17i | −0.207470 | + | 1.17662i | 0.686036 | + | 0.727568i | \(0.259349\pi\) |
−0.893506 | + | 0.449052i | \(0.851762\pi\) | |||||||
\(374\) | −1847.13 | + | 672.300i | −0.255382 | + | 0.0929514i | ||||
\(375\) | −4427.17 | − | 3714.84i | −0.609649 | − | 0.511556i | ||||
\(376\) | −4337.86 | −0.594968 | ||||||||
\(377\) | 4240.61 | + | 3558.29i | 0.579316 | + | 0.486104i | ||||
\(378\) | 3322.28 | + | 5754.36i | 0.452063 | + | 0.782996i | ||||
\(379\) | −4725.46 | − | 1719.93i | −0.640450 | − | 0.233105i | 0.00132310 | − | 0.999999i | \(-0.499579\pi\) |
−0.641773 | + | 0.766894i | \(0.721801\pi\) | |||||||
\(380\) | −717.671 | + | 1243.04i | −0.0968836 | + | 0.167807i | ||||
\(381\) | 10164.0 | + | 17604.5i | 1.36671 | + | 2.36721i | ||||
\(382\) | 551.353 | + | 3126.88i | 0.0738473 | + | 0.418809i | ||||
\(383\) | −5670.44 | + | 2063.87i | −0.756517 | + | 0.275350i | −0.691345 | − | 0.722524i | \(-0.742982\pi\) |
−0.0651716 | + | 0.997874i | \(0.520759\pi\) | |||||||
\(384\) | −528.341 | + | 915.113i | −0.0702129 | + | 0.121612i | ||||
\(385\) | 1868.11 | − | 1567.53i | 0.247293 | − | 0.207503i | ||||
\(386\) | −1839.89 | + | 1543.85i | −0.242612 | + | 0.203575i | ||||
\(387\) | −6212.22 | − | 2261.06i | −0.815981 | − | 0.296993i | ||||
\(388\) | 1057.38 | − | 5996.68i | 0.138351 | − | 0.784627i | ||||
\(389\) | 1332.02 | − | 7554.29i | 0.173615 | − | 0.984621i | −0.766115 | − | 0.642704i | \(-0.777813\pi\) |
0.939730 | − | 0.341917i | \(-0.111076\pi\) | |||||||
\(390\) | 1690.82 | + | 615.409i | 0.219533 | + | 0.0799037i | ||||
\(391\) | −4008.16 | + | 3363.25i | −0.518418 | + | 0.435005i | ||||
\(392\) | −2854.92 | + | 2395.57i | −0.367846 | + | 0.308659i | ||||
\(393\) | 6417.95 | − | 11116.2i | 0.823772 | − | 1.42682i | ||||
\(394\) | 7549.00 | − | 2747.61i | 0.965262 | − | 0.351326i | ||||
\(395\) | 65.8566 | + | 373.491i | 0.00838887 | + | 0.0475757i | ||||
\(396\) | −2435.47 | − | 4218.36i | −0.309058 | − | 0.535304i | ||||
\(397\) | −1355.17 | + | 2347.22i | −0.171320 | + | 0.296734i | −0.938881 | − | 0.344241i | \(-0.888136\pi\) |
0.767562 | + | 0.640975i | \(0.221470\pi\) | |||||||
\(398\) | −5512.42 | − | 2006.36i | −0.694253 | − | 0.252688i | ||||
\(399\) | 14537.9 | + | 25180.3i | 1.82407 | + | 3.15938i | ||||
\(400\) | −1429.18 | − | 1199.23i | −0.178648 | − | 0.149903i | ||||
\(401\) | 8251.53 | 1.02759 | 0.513793 | − | 0.857914i | \(-0.328240\pi\) | ||||
0.513793 | + | 0.857914i | \(0.328240\pi\) | |||||||
\(402\) | −3457.35 | − | 2901.06i | −0.428947 | − | 0.359929i | ||||
\(403\) | −1288.78 | + | 469.078i | −0.159302 | + | 0.0579812i | ||||
\(404\) | −875.082 | + | 4962.83i | −0.107765 | + | 0.611164i | ||||
\(405\) | 73.8174 | + | 418.639i | 0.00905683 | + | 0.0513638i | ||||
\(406\) | 8371.93 | 1.02338 | ||||||||
\(407\) | −5588.10 | − | 3623.57i | −0.680570 | − | 0.441311i | ||||
\(408\) | −2193.44 | −0.266156 | ||||||||
\(409\) | 1997.86 | + | 11330.4i | 0.241535 | + | 1.36981i | 0.828403 | + | 0.560132i | \(0.189250\pi\) |
−0.586868 | + | 0.809683i | \(0.699639\pi\) | |||||||
\(410\) | 348.152 | − | 1974.47i | 0.0419366 | − | 0.237834i | ||||
\(411\) | −23575.5 | + | 8580.79i | −2.82943 | + | 1.02983i | ||||
\(412\) | −1142.05 | − | 958.296i | −0.136565 | − | 0.114592i | ||||
\(413\) | 3874.55 | 0.461633 | ||||||||
\(414\) | −9932.22 | − | 8334.13i | −1.17909 | − | 0.989372i | ||||
\(415\) | 452.563 | + | 783.863i | 0.0535312 | + | 0.0927188i | ||||
\(416\) | 1130.97 | + | 411.638i | 0.133294 | + | 0.0485149i | ||||
\(417\) | −2375.23 | + | 4114.03i | −0.278935 | + | 0.483129i | ||||
\(418\) | −3664.72 | − | 6347.48i | −0.428821 | − | 0.742740i | ||||
\(419\) | 714.936 | + | 4054.60i | 0.0833578 | + | 0.472746i | 0.997699 | + | 0.0678007i | \(0.0215982\pi\) |
−0.914341 | + | 0.404945i | \(0.867291\pi\) | |||||||
\(420\) | 2557.11 | − | 930.712i | 0.297081 | − | 0.108129i | ||||
\(421\) | −2437.92 | + | 4222.60i | −0.282226 | + | 0.488829i | −0.971933 | − | 0.235259i | \(-0.924406\pi\) |
0.689707 | + | 0.724089i | \(0.257739\pi\) | |||||||
\(422\) | 5125.40 | − | 4300.72i | 0.591234 | − | 0.496104i | ||||
\(423\) | 17092.8 | − | 14342.5i | 1.96473 | − | 1.64860i | ||||
\(424\) | 29.9394 | + | 10.8970i | 0.00342921 | + | 0.00124813i | ||||
\(425\) | 672.491 | − | 3813.89i | 0.0767544 | − | 0.435296i | ||||
\(426\) | 1951.19 | − | 11065.8i | 0.221915 | − | 1.25854i | ||||
\(427\) | −24708.5 | − | 8993.15i | −2.80030 | − | 1.01922i | ||||
\(428\) | 5116.90 | − | 4293.59i | 0.577885 | − | 0.484903i | ||||
\(429\) | −7038.51 | + | 5906.01i | −0.792127 | + | 0.664673i | ||||
\(430\) | −465.502 | + | 806.273i | −0.0522058 | + | 0.0904231i | ||||
\(431\) | −11430.4 | + | 4160.32i | −1.27745 | + | 0.464955i | −0.889589 | − | 0.456762i | \(-0.849009\pi\) |
−0.387864 | + | 0.921717i | \(0.626787\pi\) | |||||||
\(432\) | −324.557 | − | 1840.66i | −0.0361465 | − | 0.204997i | ||||
\(433\) | −4738.82 | − | 8207.88i | −0.525943 | − | 0.910960i | −0.999543 | − | 0.0302201i | \(-0.990379\pi\) |
0.473600 | − | 0.880740i | \(-0.342954\pi\) | |||||||
\(434\) | −1037.09 | + | 1796.29i | −0.114704 | + | 0.198674i | ||||
\(435\) | −3308.37 | − | 1204.15i | −0.364654 | − | 0.132723i | ||||
\(436\) | 3974.80 | + | 6884.56i | 0.436602 | + | 0.756217i | ||||
\(437\) | −14945.3 | − | 12540.6i | −1.63600 | − | 1.37276i | ||||
\(438\) | −8872.23 | −0.967881 | ||||||||
\(439\) | 9796.21 | + | 8219.99i | 1.06503 | + | 0.893665i | 0.994593 | − | 0.103851i | \(-0.0331166\pi\) |
0.0704357 | + | 0.997516i | \(0.477561\pi\) | |||||||
\(440\) | −644.598 | + | 234.615i | −0.0698409 | + | 0.0254200i | ||||
\(441\) | 3328.85 | − | 18878.9i | 0.359448 | − | 2.03853i | ||||
\(442\) | 433.827 | + | 2460.35i | 0.0466856 | + | 0.264767i | ||||
\(443\) | 1830.38 | 0.196307 | 0.0981534 | − | 0.995171i | \(-0.468706\pi\) | ||||
0.0981534 | + | 0.995171i | \(0.468706\pi\) | |||||||
\(444\) | −4476.62 | − | 5932.30i | −0.478493 | − | 0.634087i | ||||
\(445\) | 948.861 | 0.101079 | ||||||||
\(446\) | 933.229 | + | 5292.61i | 0.0990800 | + | 0.561911i | ||||
\(447\) | 2112.54 | − | 11980.8i | 0.223534 | − | 1.26773i | ||||
\(448\) | 1710.41 | − | 622.540i | 0.180378 | − | 0.0656523i | ||||
\(449\) | 8192.48 | + | 6874.31i | 0.861085 | + | 0.722536i | 0.962202 | − | 0.272338i | \(-0.0877970\pi\) |
−0.101117 | + | 0.994875i | \(0.532241\pi\) | |||||||
\(450\) | 9596.60 | 1.00531 | ||||||||
\(451\) | 7842.74 | + | 6580.84i | 0.818847 | + | 0.687095i | ||||
\(452\) | 1084.56 | + | 1878.51i | 0.112861 | + | 0.195481i | ||||
\(453\) | −28224.5 | − | 10272.9i | −2.92738 | − | 1.06548i | ||||
\(454\) | 5250.11 | − | 9093.46i | 0.542731 | − | 0.940038i | ||||
\(455\) | −1549.72 | − | 2684.19i | −0.159675 | − | 0.276565i | ||||
\(456\) | −1420.22 | − | 8054.47i | −0.145851 | − | 0.827160i | ||||
\(457\) | 11925.2 | − | 4340.43i | 1.22065 | − | 0.444282i | 0.350267 | − | 0.936650i | \(-0.386091\pi\) |
0.870387 | + | 0.492368i | \(0.163869\pi\) | |||||||
\(458\) | 857.712 | − | 1485.60i | 0.0875071 | − | 0.151567i | ||||
\(459\) | 2972.06 | − | 2493.86i | 0.302231 | − | 0.253602i | ||||
\(460\) | −1398.74 | + | 1173.68i | −0.141775 | + | 0.118964i | ||||
\(461\) | −3191.48 | − | 1161.60i | −0.322434 | − | 0.117356i | 0.175732 | − | 0.984438i | \(-0.443771\pi\) |
−0.498166 | + | 0.867082i | \(0.665993\pi\) | |||||||
\(462\) | −2412.95 | + | 13684.5i | −0.242989 | + | 1.37806i | ||||
\(463\) | −3211.44 | + | 18213.0i | −0.322350 | + | 1.82814i | 0.205325 | + | 0.978694i | \(0.434175\pi\) |
−0.527676 | + | 0.849446i | \(0.676936\pi\) | |||||||
\(464\) | −2212.92 | − | 805.438i | −0.221406 | − | 0.0805851i | ||||
\(465\) | 668.193 | − | 560.681i | 0.0666381 | − | 0.0559160i | ||||
\(466\) | 6846.21 | − | 5744.65i | 0.680567 | − | 0.571064i | ||||
\(467\) | −3456.03 | + | 5986.02i | −0.342454 | + | 0.593148i | −0.984888 | − | 0.173193i | \(-0.944591\pi\) |
0.642434 | + | 0.766341i | \(0.277925\pi\) | |||||||
\(468\) | −5817.45 | + | 2117.38i | −0.574598 | + | 0.209137i | ||||
\(469\) | 1349.99 | + | 7656.17i | 0.132914 | + | 0.753794i | ||||
\(470\) | −1571.16 | − | 2721.32i | −0.154196 | − | 0.267075i | ||||
\(471\) | −4728.36 | + | 8189.76i | −0.462572 | + | 0.801197i | ||||
\(472\) | −1024.15 | − | 372.759i | −0.0998732 | − | 0.0363509i | ||||
\(473\) | −2377.04 | − | 4117.15i | −0.231071 | − | 0.400226i | ||||
\(474\) | −1655.44 | − | 1389.08i | −0.160415 | − | 0.134604i | ||||
\(475\) | 14440.3 | 1.39487 | ||||||||
\(476\) | 2894.36 | + | 2428.65i | 0.278703 | + | 0.233859i | ||||
\(477\) | −154.002 | + | 56.0521i | −0.0147825 | + | 0.00538040i | ||||
\(478\) | −654.490 | + | 3711.80i | −0.0626270 | + | 0.355175i | ||||
\(479\) | −69.3714 | − | 393.425i | −0.00661724 | − | 0.0375282i | 0.981320 | − | 0.192381i | \(-0.0616209\pi\) |
−0.987938 | + | 0.154853i | \(0.950510\pi\) | |||||||
\(480\) | −765.452 | −0.0727874 | ||||||||
\(481\) | −5768.77 | + | 6194.67i | −0.546847 | + | 0.587220i | ||||
\(482\) | −3157.17 | −0.298351 | ||||||||
\(483\) | 6422.86 | + | 36425.9i | 0.605073 | + | 3.43154i | ||||
\(484\) | −316.244 | + | 1793.51i | −0.0296998 | + | 0.168436i | ||||
\(485\) | 4144.95 | − | 1508.64i | 0.388067 | − | 0.141245i | ||||
\(486\) | −6687.79 | − | 5611.73i | −0.624207 | − | 0.523772i | ||||
\(487\) | −4344.99 | −0.404292 | −0.202146 | − | 0.979355i | \(-0.564792\pi\) | ||||
−0.202146 | + | 0.979355i | \(0.564792\pi\) | |||||||
\(488\) | 5665.90 | + | 4754.25i | 0.525580 | + | 0.441014i | ||||
\(489\) | −6275.61 | − | 10869.7i | −0.580353 | − | 1.00520i | ||||
\(490\) | −2536.88 | − | 923.351i | −0.233887 | − | 0.0851280i | ||||
\(491\) | 6635.29 | − | 11492.7i | 0.609871 | − | 1.05633i | −0.381390 | − | 0.924414i | \(-0.624555\pi\) |
0.991261 | − | 0.131913i | \(-0.0421120\pi\) | |||||||
\(492\) | 5712.14 | + | 9893.71i | 0.523421 | + | 0.906592i | ||||
\(493\) | −848.854 | − | 4814.09i | −0.0775466 | − | 0.439789i | ||||
\(494\) | −8753.68 | + | 3186.08i | −0.797261 | + | 0.290179i | ||||
\(495\) | 1764.24 | − | 3055.75i | 0.160195 | − | 0.277466i | ||||
\(496\) | 446.945 | − | 375.031i | 0.0404605 | − | 0.0339504i | ||||
\(497\) | −14827.1 | + | 12441.4i | −1.33820 | + | 1.12288i | ||||
\(498\) | −4846.46 | − | 1763.97i | −0.436095 | − | 0.158726i | ||||
\(499\) | 1972.72 | − | 11187.9i | 0.176976 | − | 1.00368i | −0.758861 | − | 0.651252i | \(-0.774244\pi\) |
0.935838 | − | 0.352431i | \(-0.114645\pi\) | |||||||
\(500\) | 486.260 | − | 2757.72i | 0.0434924 | − | 0.246658i | ||||
\(501\) | 14985.9 | + | 5454.42i | 1.33637 | + | 0.486399i | ||||
\(502\) | −4144.08 | + | 3477.29i | −0.368445 | + | 0.309162i | ||||
\(503\) | 5612.10 | − | 4709.11i | 0.497478 | − | 0.417433i | −0.359219 | − | 0.933253i | \(-0.616957\pi\) |
0.856697 | + | 0.515820i | \(0.172513\pi\) | |||||||
\(504\) | −4681.33 | + | 8108.29i | −0.413736 | + | 0.716611i | ||||
\(505\) | −3430.35 | + | 1248.54i | −0.302274 | + | 0.110019i | ||||
\(506\) | −1619.08 | − | 9182.26i | −0.142247 | − | 0.806722i | ||||
\(507\) | −3229.57 | − | 5593.78i | −0.282900 | − | 0.489997i | ||||
\(508\) | −4924.81 | + | 8530.01i | −0.430124 | + | 0.744996i | ||||
\(509\) | −5035.18 | − | 1832.66i | −0.438469 | − | 0.159590i | 0.113347 | − | 0.993555i | \(-0.463843\pi\) |
−0.551816 | + | 0.833966i | \(0.686065\pi\) | |||||||
\(510\) | −794.458 | − | 1376.04i | −0.0689788 | − | 0.119475i | ||||
\(511\) | 11707.3 | + | 9823.63i | 1.01351 | + | 0.850434i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | 11082.0 | + | 9298.87i | 0.953763 | + | 0.800302i | ||||
\(514\) | 5644.44 | − | 2054.41i | 0.484369 | − | 0.176296i | ||||
\(515\) | 187.533 | − | 1063.55i | 0.0160460 | − | 0.0910012i | ||||
\(516\) | −921.195 | − | 5224.36i | −0.0785918 | − | 0.445716i | ||||
\(517\) | 16045.9 | 1.36499 | ||||||||
\(518\) | −661.314 | + | 12784.6i | −0.0560936 | + | 1.08441i | ||||
\(519\) | 4980.95 | 0.421270 | ||||||||
\(520\) | 151.394 | + | 858.597i | 0.0127674 | + | 0.0724076i | ||||
\(521\) | −2073.02 | + | 11756.7i | −0.174320 | + | 0.988619i | 0.764605 | + | 0.644499i | \(0.222934\pi\) |
−0.938926 | + | 0.344120i | \(0.888177\pi\) | |||||||
\(522\) | 11382.8 | − | 4143.01i | 0.954429 | − | 0.347384i | ||||
\(523\) | 12684.6 | + | 10643.7i | 1.06053 | + | 0.889894i | 0.994162 | − | 0.107901i | \(-0.0344128\pi\) |
0.0663730 | + | 0.997795i | \(0.478857\pi\) | |||||||
\(524\) | 6219.45 | 0.518508 | ||||||||
\(525\) | −20971.9 | − | 17597.5i | −1.74340 | − | 1.46289i | ||||
\(526\) | 919.544 | + | 1592.70i | 0.0762243 | + | 0.132024i | ||||
\(527\) | 1138.07 | + | 414.223i | 0.0940702 | + | 0.0342388i | ||||
\(528\) | 1954.35 | − | 3385.04i | 0.161084 | − | 0.279006i | ||||
\(529\) | −6325.82 | − | 10956.6i | −0.519916 | − | 0.900521i | ||||
\(530\) | 4.00776 | + | 22.7291i | 0.000328464 | + | 0.00186281i | ||||
\(531\) | 5268.00 | − | 1917.39i | 0.430530 | − | 0.156700i | ||||
\(532\) | −7044.12 | + | 12200.8i | −0.574063 | + | 0.994305i | ||||
\(533\) | 9967.87 | − | 8364.03i | 0.810049 | − | 0.679712i | ||||
\(534\) | −4141.77 | + | 3475.36i | −0.335641 | + | 0.281636i | ||||
\(535\) | 4546.87 | + | 1654.93i | 0.367436 | + | 0.133736i | ||||
\(536\) | 379.739 | − | 2153.61i | 0.0306012 | − | 0.173548i | ||||
\(537\) | 2235.12 | − | 12676.0i | 0.179614 | − | 1.01864i | ||||
\(538\) | 757.397 | + | 275.670i | 0.0606946 | + | 0.0220910i | ||||
\(539\) | 10560.5 | − | 8861.30i | 0.843919 | − | 0.708132i | ||||
\(540\) | 1037.17 | − | 870.288i | 0.0826530 | − | 0.0693541i | ||||
\(541\) | 8288.48 | − | 14356.1i | 0.658687 | − | 1.14088i | −0.322269 | − | 0.946648i | \(-0.604446\pi\) |
0.980956 | − | 0.194231i | \(-0.0622211\pi\) | |||||||
\(542\) | −7697.52 | + | 2801.67i | −0.610031 | + | 0.222033i | ||||
\(543\) | −2402.96 | − | 13627.9i | −0.189910 | − | 1.07703i | ||||
\(544\) | −531.401 | − | 920.414i | −0.0418817 | − | 0.0725412i | ||||
\(545\) | −2879.32 | + | 4987.12i | −0.226305 | + | 0.391972i | ||||
\(546\) | 16595.8 | + | 6040.39i | 1.30080 | + | 0.473452i | ||||
\(547\) | 3704.76 | + | 6416.83i | 0.289587 | + | 0.501579i | 0.973711 | − | 0.227786i | \(-0.0731488\pi\) |
−0.684124 | + | 0.729365i | \(0.739815\pi\) | |||||||
\(548\) | −9312.27 | − | 7813.92i | −0.725913 | − | 0.609113i | ||||
\(549\) | −38045.0 | −2.95760 | ||||||||
\(550\) | 5286.60 | + | 4435.99i | 0.409857 | + | 0.343911i | ||||
\(551\) | 17128.0 | − | 6234.09i | 1.32428 | − | 0.481999i | ||||
\(552\) | 1806.69 | − | 10246.2i | 0.139308 | − | 0.790052i | ||||
\(553\) | 646.399 | + | 3665.91i | 0.0497065 | + | 0.281899i | ||||
\(554\) | −4713.80 | −0.361498 | ||||||||
\(555\) | 2100.17 | − | 4957.03i | 0.160625 | − | 0.379125i | ||||
\(556\) | −2301.77 | −0.175570 | ||||||||
\(557\) | 281.712 | + | 1597.67i | 0.0214300 | + | 0.121536i | 0.993646 | − | 0.112549i | \(-0.0359017\pi\) |
−0.972216 | + | 0.234085i | \(0.924791\pi\) | |||||||
\(558\) | −521.139 | + | 2955.53i | −0.0395369 | + | 0.224225i | ||||
\(559\) | −5677.89 | + | 2066.58i | −0.429605 | + | 0.156363i | ||||
\(560\) | 1010.05 | + | 847.534i | 0.0762187 | + | 0.0639551i | ||||
\(561\) | 8113.64 | 0.610621 | ||||||||
\(562\) | 11345.7 | + | 9520.18i | 0.851583 | + | 0.714563i | ||||
\(563\) | −11694.8 | − | 20256.1i | −0.875451 | − | 1.51633i | −0.856281 | − | 0.516510i | \(-0.827231\pi\) |
−0.0191701 | − | 0.999816i | \(-0.506102\pi\) | |||||||
\(564\) | 16825.4 | + | 6123.94i | 1.25616 | + | 0.457207i | ||||
\(565\) | −785.646 | + | 1360.78i | −0.0584998 | + | 0.101325i | ||||
\(566\) | 2860.97 | + | 4955.35i | 0.212466 | + | 0.368002i | ||||
\(567\) | 724.536 | + | 4109.05i | 0.0536643 | + | 0.304345i | ||||
\(568\) | 5116.13 | − | 1862.12i | 0.377937 | − | 0.137558i | ||||
\(569\) | −7409.29 | + | 12833.3i | −0.545894 | + | 0.945516i | 0.452656 | + | 0.891685i | \(0.350476\pi\) |
−0.998550 | + | 0.0538308i | \(0.982857\pi\) | |||||||
\(570\) | 4538.51 | − | 3808.26i | 0.333504 | − | 0.279843i | ||||
\(571\) | 538.204 | − | 451.607i | 0.0394451 | − | 0.0330983i | −0.622852 | − | 0.782340i | \(-0.714026\pi\) |
0.662297 | + | 0.749241i | \(0.269582\pi\) | |||||||
\(572\) | −4183.49 | − | 1522.67i | −0.305805 | − | 0.111304i | ||||
\(573\) | 2275.80 | − | 12906.7i | 0.165921 | − | 0.940986i | ||||
\(574\) | 3417.20 | − | 19379.9i | 0.248486 | − | 1.40924i | ||||
\(575\) | 17261.9 | + | 6282.82i | 1.25195 | + | 0.455672i | ||||
\(576\) | 2017.47 | − | 1692.86i | 0.145940 | − | 0.122458i | ||||
\(577\) | 5602.45 | − | 4701.02i | 0.404217 | − | 0.339178i | −0.417904 | − | 0.908491i | \(-0.637235\pi\) |
0.822121 | + | 0.569313i | \(0.192791\pi\) | |||||||
\(578\) | −3809.92 | + | 6598.98i | −0.274173 | + | 0.474882i | ||||
\(579\) | 9315.98 | − | 3390.74i | 0.668669 | − | 0.243375i | ||||
\(580\) | −296.227 | − | 1679.99i | −0.0212072 | − | 0.120272i | ||||
\(581\) | 4442.02 | + | 7693.80i | 0.317188 | + | 0.549385i | ||||
\(582\) | −12567.1 | + | 21766.8i | −0.895054 | + | 1.55028i | ||||
\(583\) | −110.747 | − | 40.3086i | −0.00786736 | − | 0.00286349i | ||||
\(584\) | −2149.46 | − | 3722.97i | −0.152303 | − | 0.263797i | ||||
\(585\) | −3435.38 | − | 2882.63i | −0.242796 | − | 0.203730i | ||||
\(586\) | 3357.98 | 0.236718 | ||||||||
\(587\) | −16398.8 | − | 13760.2i | −1.15307 | − | 0.967537i | −0.153278 | − | 0.988183i | \(-0.548983\pi\) |
−0.999787 | + | 0.0206465i | \(0.993428\pi\) | |||||||
\(588\) | 14455.4 | − | 5261.34i | 1.01383 | − | 0.369003i | ||||
\(589\) | −784.172 | + | 4447.26i | −0.0548578 | + | 0.311114i | ||||
\(590\) | −137.095 | − | 777.503i | −0.00956627 | − | 0.0542530i | ||||
\(591\) | −33159.5 | −2.30795 | ||||||||
\(592\) | 1404.77 | − | 3315.69i | 0.0975266 | − | 0.230192i | ||||
\(593\) | 14057.1 | 0.973453 | 0.486726 | − | 0.873555i | \(-0.338191\pi\) | ||||
0.486726 | + | 0.873555i | \(0.338191\pi\) | |||||||
\(594\) | 1200.55 | + | 6808.66i | 0.0829279 | + | 0.470308i | ||||
\(595\) | −475.272 | + | 2695.40i | −0.0327466 | + | 0.185715i | ||||
\(596\) | 5539.20 | − | 2016.11i | 0.380696 | − | 0.138562i | ||||
\(597\) | 18548.8 | + | 15564.3i | 1.27161 | + | 1.06701i | ||||
\(598\) | −11850.4 | −0.810365 | ||||||||
\(599\) | −13438.3 | − | 11276.1i | −0.916654 | − | 0.769164i | 0.0567190 | − | 0.998390i | \(-0.481936\pi\) |
−0.973373 | + | 0.229226i | \(0.926381\pi\) | |||||||
\(600\) | 3850.42 | + | 6669.12i | 0.261988 | + | 0.453776i | ||||
\(601\) | 5332.54 | + | 1940.88i | 0.361928 | + | 0.131731i | 0.516582 | − | 0.856238i | \(-0.327204\pi\) |
−0.154654 | + | 0.987969i | \(0.549426\pi\) | |||||||
\(602\) | −4569.02 | + | 7913.77i | −0.309334 | + | 0.535783i | ||||
\(603\) | 5624.30 | + | 9741.57i | 0.379833 | + | 0.657890i | ||||
\(604\) | −2527.19 | − | 14332.4i | −0.170248 | − | 0.965524i | ||||
\(605\) | −1239.69 | + | 451.209i | −0.0833065 | + | 0.0303211i | ||||
\(606\) | 10400.5 | − | 18014.1i | 0.697178 | − | 1.20755i | ||||
\(607\) | −7498.00 | + | 6291.57i | −0.501374 | + | 0.420703i | −0.858082 | − | 0.513513i | \(-0.828344\pi\) |
0.356707 | + | 0.934216i | \(0.383899\pi\) | |||||||
\(608\) | 3035.74 | − | 2547.29i | 0.202493 | − | 0.169912i | ||||
\(609\) | −32472.5 | − | 11819.0i | −2.16068 | − | 0.786421i | ||||
\(610\) | −930.377 | + | 5276.43i | −0.0617539 | + | 0.350224i | ||||
\(611\) | 3541.35 | − | 20084.0i | 0.234481 | − | 1.32981i | ||||
\(612\) | 5137.15 | + | 1869.77i | 0.339309 | + | 0.123498i | ||||
\(613\) | −6721.27 | + | 5639.82i | −0.442854 | + | 0.371599i | −0.836776 | − | 0.547545i | \(-0.815562\pi\) |
0.393922 | + | 0.919144i | \(0.371118\pi\) | |||||||
\(614\) | −5237.34 | + | 4394.65i | −0.344238 | + | 0.288850i | ||||
\(615\) | −4137.83 | + | 7166.94i | −0.271307 | + | 0.469917i | ||||
\(616\) | −6326.89 | + | 2302.80i | −0.413827 | + | 0.150621i | ||||
\(617\) | −984.095 | − | 5581.08i | −0.0642110 | − | 0.364159i | −0.999935 | − | 0.0114250i | \(-0.996363\pi\) |
0.935724 | − | 0.352734i | \(-0.114748\pi\) | |||||||
\(618\) | 3076.85 | + | 5329.26i | 0.200274 | + | 0.346884i | ||||
\(619\) | −3426.68 | + | 5935.19i | −0.222504 | + | 0.385388i | −0.955568 | − | 0.294772i | \(-0.904756\pi\) |
0.733064 | + | 0.680160i | \(0.238090\pi\) | |||||||
\(620\) | 397.155 | + | 144.552i | 0.0257260 | + | 0.00936350i | ||||
\(621\) | 9201.53 | + | 15937.5i | 0.594597 | + | 1.02987i | ||||
\(622\) | −218.263 | − | 183.144i | −0.0140700 | − | 0.0118061i | ||||
\(623\) | 9313.30 | 0.598924 | ||||||||
\(624\) | −3805.59 | − | 3193.27i | −0.244143 | − | 0.204861i | ||||
\(625\) | −11790.3 | + | 4291.33i | −0.754582 | + | 0.274645i | ||||
\(626\) | −1814.27 | + | 10289.2i | −0.115835 | + | 0.656933i | ||||
\(627\) | 5253.45 | + | 29793.8i | 0.334613 | + | 1.89769i | ||||
\(628\) | −4582.12 | −0.291157 | ||||||||
\(629\) | 7418.56 | − | 915.995i | 0.470266 | − | 0.0580654i | ||||
\(630\) | −6782.24 | −0.428906 | ||||||||
\(631\) | −2560.21 | − | 14519.7i | −0.161522 | − | 0.916037i | −0.952578 | − | 0.304294i | \(-0.901580\pi\) |
0.791056 | − | 0.611744i | \(-0.209532\pi\) | |||||||
\(632\) | 181.826 | − | 1031.18i | 0.0114440 | − | 0.0649024i | ||||
\(633\) | −25951.6 | + | 9445.61i | −1.62952 | + | 0.593095i | ||||
\(634\) | 11908.5 | + | 9992.41i | 0.745972 | + | 0.625945i | ||||
\(635\) | −7134.99 | −0.445895 | ||||||||
\(636\) | −100.743 | − | 84.5334i | −0.00628101 | − | 0.00527039i | ||||
\(637\) | −8760.61 | − | 15173.8i | −0.544911 | − | 0.943813i | ||||
\(638\) | 8185.69 | + | 2979.35i | 0.507954 | + | 0.184880i | ||||
\(639\) | −14002.6 | + | 24253.3i | −0.866879 | + | 1.50148i | ||||
\(640\) | −185.445 | − | 321.199i | −0.0114537 | − | 0.0198383i | ||||
\(641\) | 641.505 | + | 3638.15i | 0.0395287 | + | 0.224179i | 0.998172 | − | 0.0604305i | \(-0.0192473\pi\) |
−0.958644 | + | 0.284609i | \(0.908136\pi\) | |||||||
\(642\) | −25908.5 | + | 9429.93i | −1.59272 | + | 0.579704i | ||||
\(643\) | 6087.01 | − | 10543.0i | 0.373326 | − | 0.646619i | −0.616749 | − | 0.787160i | \(-0.711551\pi\) |
0.990075 | + | 0.140541i | \(0.0448841\pi\) | |||||||
\(644\) | −13729.0 | + | 11520.0i | −0.840058 | + | 0.704893i | ||||
\(645\) | 2943.81 | − | 2470.15i | 0.179709 | − | 0.150794i | ||||
\(646\) | 7730.00 | + | 2813.49i | 0.470794 | + | 0.171355i | ||||
\(647\) | −107.010 | + | 606.881i | −0.00650229 | + | 0.0368763i | −0.987886 | − | 0.155180i | \(-0.950404\pi\) |
0.981384 | + | 0.192056i | \(0.0615155\pi\) | |||||||
\(648\) | 203.805 | − | 1155.83i | 0.0123553 | − | 0.0700702i | ||||
\(649\) | 3788.36 | + | 1378.85i | 0.229131 | + | 0.0833969i | ||||
\(650\) | 6719.10 | − | 5638.00i | 0.405454 | − | 0.340216i | ||||
\(651\) | 6558.48 | − | 5503.22i | 0.394849 | − | 0.331318i | ||||
\(652\) | 3040.76 | − | 5266.74i | 0.182646 | − | 0.316352i | ||||
\(653\) | 6752.05 | − | 2457.54i | 0.404637 | − | 0.147276i | −0.131680 | − | 0.991292i | \(-0.542037\pi\) |
0.536317 | + | 0.844016i | \(0.319815\pi\) | |||||||
\(654\) | −5697.96 | − | 32314.8i | −0.340685 | − | 1.93212i | ||||
\(655\) | 2252.66 | + | 3901.73i | 0.134380 | + | 0.232753i | ||||
\(656\) | −2767.74 | + | 4793.86i | −0.164729 | + | 0.285318i | ||||
\(657\) | 20779.2 | + | 7563.00i | 1.23390 | + | 0.449103i | ||||
\(658\) | −15421.3 | − | 26710.5i | −0.913654 | − | 1.58250i | ||||
\(659\) | 13727.7 | + | 11518.9i | 0.811465 | + | 0.680900i | 0.950957 | − | 0.309323i | \(-0.100102\pi\) |
−0.139492 | + | 0.990223i | \(0.544547\pi\) | |||||||
\(660\) | 2831.44 | 0.166990 | ||||||||
\(661\) | −1507.05 | − | 1264.57i | −0.0886801 | − | 0.0744115i | 0.597370 | − | 0.801966i | \(-0.296212\pi\) |
−0.686050 | + | 0.727554i | \(0.740657\pi\) | |||||||
\(662\) | −6923.41 | + | 2519.91i | −0.406474 | + | 0.147945i | ||||
\(663\) | 1790.69 | − | 10155.5i | 0.104894 | − | 0.594883i | ||||
\(664\) | −433.946 | − | 2461.03i | −0.0253620 | − | 0.143835i | ||||
\(665\) | −10205.4 | −0.595112 | ||||||||
\(666\) | 5427.56 | + | 17709.7i | 0.315786 | + | 1.03039i | ||||
\(667\) | 23187.2 | 1.34605 | ||||||||
\(668\) | 1341.82 | + | 7609.82i | 0.0777193 | + | 0.440768i | ||||
\(669\) | 3852.06 | − | 21846.1i | 0.222614 | − | 1.26251i | ||||
\(670\) | 1488.59 | − | 541.802i | 0.0858347 | − | 0.0312413i | ||||
\(671\) | −20958.4 | − | 17586.2i | −1.20580 | − | 1.01178i | ||||
\(672\) | −7513.10 | −0.431286 | ||||||||
\(673\) | −4282.27 | − | 3593.25i | −0.245274 | − | 0.205810i | 0.511860 | − | 0.859069i | \(-0.328957\pi\) |
−0.757134 | + | 0.653259i | \(0.773401\pi\) | |||||||
\(674\) | −6052.08 | − | 10482.5i | −0.345872 | − | 0.599067i | ||||
\(675\) | −12799.7 | − | 4658.72i | −0.729869 | − | 0.265651i | ||||
\(676\) | 1564.84 | − | 2710.39i | 0.0890329 | − | 0.154209i | ||||
\(677\) | −950.490 | − | 1646.30i | −0.0539591 | − | 0.0934599i | 0.837784 | − | 0.546002i | \(-0.183851\pi\) |
−0.891743 | + | 0.452542i | \(0.850517\pi\) | |||||||
\(678\) | −1554.74 | − | 8817.35i | −0.0880668 | − | 0.499452i | ||||
\(679\) | 40683.7 | − | 14807.7i | 2.29941 | − | 0.836916i | ||||
\(680\) | 384.943 | − | 666.741i | 0.0217087 | − | 0.0376005i | ||||
\(681\) | −33201.4 | + | 27859.3i | −1.86825 | + | 1.56765i | ||||
\(682\) | −1653.27 | + | 1387.26i | −0.0928253 | + | 0.0778897i | ||||
\(683\) | −15278.8 | − | 5561.03i | −0.855969 | − | 0.311547i | −0.123497 | − | 0.992345i | \(-0.539411\pi\) |
−0.732472 | + | 0.680798i | \(0.761633\pi\) | |||||||
\(684\) | −3539.69 | + | 20074.6i | −0.197870 | + | 1.12218i | ||||
\(685\) | 1529.14 | − | 8672.16i | 0.0852923 | − | 0.483717i | ||||
\(686\) | −6566.65 | − | 2390.06i | −0.365475 | − | 0.133022i | ||||
\(687\) | −5424.13 | + | 4551.38i | −0.301227 | + | 0.252760i | ||||
\(688\) | 1969.07 | − | 1652.25i | 0.109114 | − | 0.0915571i | ||||
\(689\) | −74.8946 | + | 129.721i | −0.00414116 | + | 0.00717270i | ||||
\(690\) | 7082.28 | − | 2577.74i | 0.390750 | − | 0.142222i | ||||
\(691\) | 3057.73 | + | 17341.2i | 0.168338 | + | 0.954692i | 0.945556 | + | 0.325460i | \(0.105519\pi\) |
−0.777218 | + | 0.629232i | \(0.783370\pi\) | |||||||
\(692\) | 1206.72 | + | 2090.11i | 0.0662901 | + | 0.114818i | ||||
\(693\) | 17316.4 | − | 29992.9i | 0.949201 | − | 1.64406i | ||||
\(694\) | −17154.8 | − | 6243.85i | −0.938312 | − | 0.341518i | ||||
\(695\) | −833.694 | − | 1444.00i | −0.0455019 | − | 0.0788116i | ||||
\(696\) | 7446.26 | + | 6248.15i | 0.405531 | + | 0.340281i | ||||
\(697\) | −11490.5 | −0.624436 | ||||||||
\(698\) | −12455.5 | − | 10451.4i | −0.675428 | − | 0.566751i | ||||
\(699\) | −34664.6 | + | 12616.9i | −1.87573 | + | 0.682710i | ||||
\(700\) | 2303.45 | − | 13063.5i | 0.124375 | − | 0.705364i | ||||
\(701\) | 113.256 | + | 642.305i | 0.00610215 | + | 0.0346070i | 0.987707 | − | 0.156318i | \(-0.0499624\pi\) |
−0.981605 | + | 0.190925i | \(0.938851\pi\) | |||||||
\(702\) | 8787.09 | 0.472432 | ||||||||
\(703\) | 8166.99 | + | 26648.3i | 0.438156 | + | 1.42967i | ||||
\(704\) | 1893.91 | 0.101391 | ||||||||
\(705\) | 2252.29 | + | 12773.4i | 0.120321 | + | 0.682372i | ||||
\(706\) | −3108.17 | + | 17627.3i | −0.165691 | + | 0.939679i | ||||
\(707\) | −33669.7 | + | 12254.8i | −1.79106 | + | 0.651893i | ||||
\(708\) | 3446.15 | + | 2891.66i | 0.182930 | + | 0.153496i | ||||
\(709\) | 30921.8 | 1.63793 | 0.818966 | − | 0.573842i | \(-0.194548\pi\) | ||||
0.818966 | + | 0.573842i | \(0.194548\pi\) | |||||||
\(710\) | 3021.23 | + | 2535.12i | 0.159697 | + | 0.134002i | ||||
\(711\) | 2693.01 | + | 4664.44i | 0.142048 | + | 0.246034i | ||||
\(712\) | −2461.75 | − | 896.004i | −0.129576 | − | 0.0471618i | ||||
\(713\) | −2872.36 | + | 4975.07i | −0.150871 | + | 0.261315i | ||||
\(714\) | −7797.80 | − | 13506.2i | −0.408719 | − | 0.707922i | ||||
\(715\) | −560.012 | − | 3175.98i | −0.0292913 | − | 0.166119i | ||||
\(716\) | 5860.61 | − | 2133.09i | 0.305896 | − | 0.111337i | ||||
\(717\) | 7778.70 | − | 13473.1i | 0.405162 | − | 0.701760i | ||||
\(718\) | 842.054 | − | 706.567i | 0.0437676 | − | 0.0367254i | ||||
\(719\) | 5220.41 | − | 4380.44i | 0.270777 | − | 0.227209i | −0.497281 | − | 0.867590i | \(-0.665668\pi\) |
0.768057 | + | 0.640381i | \(0.221224\pi\) | |||||||
\(720\) | 1792.72 | + | 652.498i | 0.0927929 | + | 0.0337739i | ||||
\(721\) | 1840.68 | − | 10439.0i | 0.0950769 | − | 0.539208i | ||||
\(722\) | −2944.16 | + | 16697.2i | −0.151759 | + | 0.860671i | ||||
\(723\) | 12245.8 | + | 4457.12i | 0.629913 | + | 0.229270i | ||||
\(724\) | 5136.38 | − | 4309.93i | 0.263663 | − | 0.221240i | ||||
\(725\) | −13147.0 | + | 11031.7i | −0.673474 | + | 0.565112i | ||||
\(726\) | 3758.60 | − | 6510.09i | 0.192141 | − | 0.332799i | ||||
\(727\) | 4172.97 | − | 1518.84i | 0.212884 | − | 0.0774835i | −0.233377 | − | 0.972386i | \(-0.574978\pi\) |
0.446261 | + | 0.894903i | \(0.352755\pi\) | |||||||
\(728\) | 1485.97 | + | 8427.34i | 0.0756506 | + | 0.429036i | ||||
\(729\) | 16037.3 | + | 27777.4i | 0.814779 | + | 1.41124i | ||||
\(730\) | 1557.05 | − | 2696.89i | 0.0789440 | − | 0.136735i | ||||
\(731\) | 5013.90 | + | 1824.91i | 0.253688 | + | 0.0923348i | ||||
\(732\) | −15264.7 | − | 26439.3i | −0.770765 | − | 1.33500i | ||||
\(733\) | −15377.3 | − | 12903.1i | −0.774864 | − | 0.650188i | 0.167086 | − | 0.985942i | \(-0.446564\pi\) |
−0.941949 | + | 0.335755i | \(0.891009\pi\) | |||||||
\(734\) | 2681.41 | 0.134840 | ||||||||
\(735\) | 8536.36 | + | 7162.86i | 0.428393 | + | 0.359464i | ||||
\(736\) | 4737.23 | − | 1724.21i | 0.237251 | − | 0.0863523i | ||||
\(737\) | −1404.67 | + | 7966.28i | −0.0702058 | + | 0.398157i | ||||
\(738\) | −4944.34 | − | 28040.8i | −0.246617 | − | 1.39864i | ||||
\(739\) | 26282.3 | 1.30827 | 0.654133 | − | 0.756379i | \(-0.273033\pi\) | ||||
0.654133 | + | 0.756379i | \(0.273033\pi\) | |||||||
\(740\) | 2588.88 | − | 319.657i | 0.128607 | − | 0.0158795i | ||||
\(741\) | 38451.1 | 1.90626 | ||||||||
\(742\) | 39.3371 | + | 223.092i | 0.00194624 | + | 0.0110377i | ||||
\(743\) | 5523.96 | − | 31327.9i | 0.272752 | − | 1.54685i | −0.473263 | − | 0.880921i | \(-0.656924\pi\) |
0.746014 | − | 0.665930i | \(-0.231965\pi\) | |||||||
\(744\) | −2263.03 | + | 823.674i | −0.111514 | + | 0.0405878i | ||||
\(745\) | 3271.07 | + | 2744.75i | 0.160863 | + | 0.134980i | ||||
\(746\) | 17213.9 | 0.844831 | ||||||||
\(747\) | 9846.97 | + | 8262.59i | 0.482305 | + | 0.404702i | ||||
\(748\) | 1965.67 | + | 3404.65i | 0.0960858 | + | 0.166426i | ||||
\(749\) | 44628.7 | + | 16243.5i | 2.17716 | + | 0.792423i | ||||
\(750\) | −5779.26 | + | 10010.0i | −0.281372 | + | 0.487350i | ||||
\(751\) | −16840.6 | − | 29168.7i | −0.818270 | − | 1.41729i | −0.906956 | − | 0.421226i | \(-0.861600\pi\) |
0.0886859 | − | 0.996060i | \(-0.471733\pi\) | |||||||
\(752\) | 1506.52 | + | 8543.91i | 0.0730548 | + | 0.414314i | ||||
\(753\) | 20982.8 | − | 7637.12i | 1.01548 | − | 0.369604i | ||||
\(754\) | 5535.72 | − | 9588.14i | 0.267373 | − | 0.463103i | ||||
\(755\) | 8075.98 | − | 6776.55i | 0.389291 | − | 0.326654i | ||||
\(756\) | 10180.1 | − | 8542.09i | 0.489743 | − | 0.410943i | ||||
\(757\) | 10733.5 | + | 3906.66i | 0.515342 | + | 0.187569i | 0.586582 | − | 0.809890i | \(-0.300473\pi\) |
−0.0712394 | + | 0.997459i | \(0.522695\pi\) | |||||||
\(758\) | −1746.46 | + | 9904.67i | −0.0836864 | + | 0.474609i | ||||
\(759\) | −6683.01 | + | 37901.3i | −0.319602 | + | 1.81255i | ||||
\(760\) | 2697.56 | + | 981.832i | 0.128751 | + | 0.0468616i | ||||
\(761\) | −26431.5 | + | 22178.7i | −1.25906 | + | 1.05647i | −0.263276 | + | 0.964721i | \(0.584803\pi\) |
−0.995782 | + | 0.0917541i | \(0.970753\pi\) | |||||||
\(762\) | 31144.2 | − | 26133.1i | 1.48062 | − | 1.24239i | ||||
\(763\) | −28261.2 | + | 48949.8i | −1.34092 | + | 2.32255i | ||||
\(764\) | 5967.26 | − | 2171.91i | 0.282576 | − | 0.102849i | ||||
\(765\) | 687.671 | + | 3899.97i | 0.0325004 | + | 0.184319i | ||||
\(766\) | 6034.36 | + | 10451.8i | 0.284635 | + | 0.493002i | ||||
\(767\) | 2561.95 | − | 4437.42i | 0.120608 | − | 0.208900i | ||||
\(768\) | 1985.91 | + | 722.813i | 0.0933078 | + | 0.0339613i | ||||
\(769\) | 9889.44 | + | 17129.0i | 0.463748 | + | 0.803235i | 0.999144 | − | 0.0413660i | \(-0.0131710\pi\) |
−0.535396 | + | 0.844601i | \(0.679838\pi\) | |||||||
\(770\) | −3736.22 | − | 3135.06i | −0.174862 | − | 0.146727i | ||||
\(771\) | −24793.6 | −1.15813 | ||||||||
\(772\) | 3679.79 | + | 3087.71i | 0.171552 | + | 0.143950i | ||||
\(773\) | 1190.22 | − | 433.204i | 0.0553805 | − | 0.0201569i | −0.314181 | − | 0.949363i | \(-0.601730\pi\) |
0.369562 | + | 0.929206i | \(0.379508\pi\) | |||||||
\(774\) | −2295.94 | + | 13020.9i | −0.106623 | + | 0.604687i | ||||
\(775\) | −738.352 | − | 4187.40i | −0.0342225 | − | 0.194085i | ||||
\(776\) | −12178.4 | −0.563374 | ||||||||
\(777\) | 20613.7 | − | 48654.5i | 0.951751 | − | 2.24642i | ||||
\(778\) | −15341.6 | −0.706973 | ||||||||
\(779\) | −7439.89 | − | 42193.7i | −0.342184 | − | 1.94062i | ||||
\(780\) | 624.902 | − | 3544.00i | 0.0286860 | − | 0.162686i | ||||
\(781\) | −18924.8 | + | 6888.06i | −0.867070 | + | 0.315588i | ||||
\(782\) | 8016.33 | + | 6726.50i | 0.366577 | + | 0.307595i | ||||
\(783\) | −17193.4 | −0.784727 | ||||||||
\(784\) | 5709.85 | + | 4791.13i | 0.260106 | + | 0.218255i | ||||
\(785\) | −1659.63 | − | 2874.56i | −0.0754581 | − | 0.130697i | ||||
\(786\) | −24123.6 | − | 8780.27i | −1.09473 | − | 0.398450i | ||||
\(787\) | 17044.3 | − | 29521.6i | 0.772000 | − | 1.33714i | −0.164465 | − | 0.986383i | \(-0.552590\pi\) |
0.936465 | − | 0.350761i | \(-0.114077\pi\) | |||||||
\(788\) | −8033.48 | − | 13914.4i | −0.363174 | − | 0.629035i | ||||
\(789\) | −1318.19 | − | 7475.80i | −0.0594786 | − | 0.337320i | ||||
\(790\) | 712.763 | − | 259.424i | 0.0320999 | − | 0.0116834i | ||||
\(791\) | −7711.31 | + | 13356.4i | −0.346628 | + | 0.600377i | ||||
\(792\) | −7462.71 | + | 6261.96i | −0.334818 | + | 0.280946i | ||||
\(793\) | −26637.4 | + | 22351.5i | −1.19284 | + | 1.00091i | ||||
\(794\) | 5093.76 | + | 1853.98i | 0.227671 | + | 0.0828655i | ||||
\(795\) | 16.5427 | − | 93.8181i | 0.000737997 | − | 0.00418539i | ||||
\(796\) | −2037.31 | + | 11554.2i | −0.0907167 | + | 0.514480i | ||||
\(797\) | −16090.9 | − | 5856.60i | −0.715142 | − | 0.260290i | −0.0412800 | − | 0.999148i | \(-0.513144\pi\) |
−0.673862 | + | 0.738857i | \(0.735366\pi\) | |||||||
\(798\) | 44546.6 | − | 37379.0i | 1.97611 | − | 1.65815i | ||||
\(799\) | −13795.6 | + | 11575.9i | −0.610832 | + | 0.512549i | ||||
\(800\) | −1865.67 | + | 3231.43i | −0.0824515 | + | 0.142810i | ||||
\(801\) | 12662.7 | − | 4608.86i | 0.558572 | − | 0.203303i | ||||
\(802\) | −2865.73 | − | 16252.3i | −0.126175 | − | 0.715574i | ||||
\(803\) | 7950.93 | + | 13771.4i | 0.349418 | + | 0.605209i | ||||
\(804\) | −4513.25 | + | 7817.17i | −0.197973 | + | 0.342898i | ||||
\(805\) | −12199.6 | − | 4440.28i | −0.534134 | − | 0.194409i | ||||
\(806\) | 1371.49 | + | 2375.49i | 0.0599364 | + | 0.103813i | ||||
\(807\) | −2548.56 | − | 2138.50i | −0.111169 | − | 0.0932822i | ||||
\(808\) | 10078.8 | 0.438825 | ||||||||
\(809\) | 26232.2 | + | 22011.4i | 1.14002 | + | 0.956590i | 0.999439 | − | 0.0334797i | \(-0.0106589\pi\) |
0.140580 | + | 0.990069i | \(0.455103\pi\) | |||||||
\(810\) | 798.922 | − | 290.784i | 0.0346559 | − | 0.0126137i | ||||
\(811\) | 1161.98 | − | 6589.89i | 0.0503113 | − | 0.285330i | −0.949264 | − | 0.314481i | \(-0.898169\pi\) |
0.999575 | + | 0.0291516i | \(0.00928057\pi\) | |||||||
\(812\) | −2907.54 | − | 16489.5i | −0.125658 | − | 0.712645i | ||||
\(813\) | 33811.8 | 1.45859 | ||||||||
\(814\) | −5196.31 | + | 12264.9i | −0.223747 | + | 0.528112i | ||||
\(815\) | 4405.41 | 0.189343 | ||||||||
\(816\) | 761.775 | + | 4320.24i | 0.0326807 | + | 0.185342i | ||||
\(817\) | −3454.77 | + | 19593.0i | −0.147940 | + | 0.839010i | ||||
\(818\) | 21622.8 | − | 7870.04i | 0.924232 | − | 0.336393i | ||||
\(819\) | −33719.1 | − | 28293.7i | −1.43863 | − | 1.20716i | ||||
\(820\) | −4009.86 | −0.170769 | ||||||||
\(821\) | 16024.9 | + | 13446.5i | 0.681209 | + | 0.571602i | 0.916359 | − | 0.400357i | \(-0.131114\pi\) |
−0.235150 | + | 0.971959i | \(0.575558\pi\) | |||||||
\(822\) | 25088.5 | + | 43454.6i | 1.06455 | + | 1.84386i | ||||
\(823\) | −17381.5 | − | 6326.34i | −0.736185 | − | 0.267950i | −0.0534046 | − | 0.998573i | \(-0.517007\pi\) |
−0.682781 | + | 0.730623i | \(0.739230\pi\) | |||||||
\(824\) | −1490.84 | + | 2582.22i | −0.0630291 | + | 0.109170i | ||||
\(825\) | −14242.9 | − | 24669.3i | −0.601057 | − | 1.04106i | ||||
\(826\) | −1345.62 | − | 7631.38i | −0.0566829 | − | 0.321465i | ||||
\(827\) | 25182.6 | − | 9165.71i | 1.05887 | − | 0.385397i | 0.246865 | − | 0.969050i | \(-0.420599\pi\) |
0.812003 | + | 0.583653i | \(0.198377\pi\) | |||||||
\(828\) | −12965.6 | + | 22457.1i | −0.544186 | + | 0.942557i | ||||
\(829\) | 4225.66 | − | 3545.75i | 0.177037 | − | 0.148551i | −0.549964 | − | 0.835189i | \(-0.685358\pi\) |
0.727000 | + | 0.686637i | \(0.240914\pi\) | |||||||
\(830\) | 1386.73 | − | 1163.61i | 0.0579931 | − | 0.0486620i | ||||
\(831\) | 18283.6 | + | 6654.67i | 0.763236 | + | 0.277795i | ||||
\(832\) | 417.988 | − | 2370.53i | 0.0174172 | − | 0.0987780i | ||||
\(833\) | −2686.73 | + | 15237.2i | −0.111752 | + | 0.633778i | ||||
\(834\) | 8927.96 | + | 3249.51i | 0.370684 | + | 0.134918i | ||||
\(835\) | −4287.97 | + | 3598.03i | −0.177714 | + | 0.149120i | ||||
\(836\) | −11229.3 | + | 9422.54i | −0.464563 | + | 0.389815i | ||||
\(837\) | 2129.86 | − | 3689.02i | 0.0879554 | − | 0.152343i | ||||
\(838\) | 7737.72 | − | 2816.30i | 0.318968 | − | 0.116095i | ||||
\(839\) | −3789.94 | − | 21493.8i | −0.155952 | − | 0.884446i | −0.957911 | − | 0.287067i | \(-0.907320\pi\) |
0.801959 | − | 0.597379i | \(-0.203791\pi\) | |||||||
\(840\) | −2721.22 | − | 4713.29i | −0.111775 | − | 0.193600i | ||||
\(841\) | 1362.95 | − | 2360.70i | 0.0558839 | − | 0.0967938i | ||||
\(842\) | 9163.58 | + | 3335.27i | 0.375057 | + | 0.136510i | ||||
\(843\) | −30566.9 | − | 52943.4i | −1.24885 | − | 2.16307i | ||||
\(844\) | −10250.8 | − | 8601.45i | −0.418066 | − | 0.350799i | ||||
\(845\) | 2267.12 | 0.0922974 | ||||||||
\(846\) | −34185.6 | − | 28685.1i | −1.38927 | − | 1.16574i | ||||
\(847\) | −12167.8 | + | 4428.73i | −0.493615 | + | 0.179661i | ||||
\(848\) | 11.0651 | − | 62.7536i | 0.000448088 | − | 0.00254123i | ||||
\(849\) | −4101.27 | − | 23259.4i | −0.165789 | − | 0.940238i | ||||
\(850\) | −7745.44 | −0.312549 | ||||||||
\(851\) | −1831.60 | + | 35408.8i | −0.0737797 | + | 1.42632i | ||||
\(852\) | −22472.9 | −0.903651 | ||||||||
\(853\) | −7084.06 | − | 40175.7i | −0.284354 | − | 1.61265i | −0.707585 | − | 0.706628i | \(-0.750215\pi\) |
0.423231 | − | 0.906022i | \(-0.360896\pi\) | |||||||
\(854\) | −9131.88 | + | 51789.5i | −0.365909 | + | 2.07517i | ||||
\(855\) | −13875.7 | + | 5050.34i | −0.555016 | + | 0.202009i | ||||
\(856\) | −10233.8 | − | 8587.17i | −0.408626 | − | 0.342878i | ||||
\(857\) | −6174.15 | −0.246097 | −0.123048 | − | 0.992401i | \(-0.539267\pi\) | ||||
−0.123048 | + | 0.992401i | \(0.539267\pi\) | |||||||
\(858\) | 14077.0 | + | 11812.0i | 0.560118 | + | 0.469995i | ||||
\(859\) | 15156.5 | + | 26251.9i | 0.602019 | + | 1.04273i | 0.992515 | + | 0.122122i | \(0.0389700\pi\) |
−0.390496 | + | 0.920604i | \(0.627697\pi\) | |||||||
\(860\) | 1749.72 | + | 636.844i | 0.0693777 | + | 0.0252514i | ||||
\(861\) | −40613.8 | + | 70345.2i | −1.60757 | + | 2.78439i | ||||
\(862\) | 12164.0 | + | 21068.6i | 0.480634 | + | 0.832482i | ||||
\(863\) | 500.248 | + | 2837.05i | 0.0197319 | + | 0.111905i | 0.993083 | − | 0.117415i | \(-0.0374608\pi\) |
−0.973351 | + | 0.229320i | \(0.926350\pi\) | |||||||
\(864\) | −3512.67 | + | 1278.51i | −0.138314 | + | 0.0503422i | ||||
\(865\) | −874.142 | + | 1514.06i | −0.0343604 | + | 0.0595139i | ||||
\(866\) | −14520.6 | + | 12184.2i | −0.569781 | + | 0.478103i | ||||
\(867\) | 24093.8 | − | 20217.1i | 0.943791 | − | 0.791935i | ||||
\(868\) | 3898.17 | + | 1418.82i | 0.152434 | + | 0.0554814i | ||||
\(869\) | −672.581 | + | 3814.39i | −0.0262552 | + | 0.148900i | ||||
\(870\) | −1222.72 | + | 6934.42i | −0.0476486 | + | 0.270228i | ||||
\(871\) | 9661.05 | + | 3516.33i | 0.375835 | + | 0.136793i | ||||
\(872\) | 12179.5 | − | 10219.8i | 0.472993 | − | 0.396888i | ||||
\(873\) | 47987.4 | − | 40266.2i | 1.86040 | − | 1.56106i | ||||
\(874\) | −19509.7 | + | 33791.8i | −0.755063 | + | 1.30781i | ||||
\(875\) | 18709.4 | − | 6809.66i | 0.722849 | − | 0.263095i | ||||
\(876\) | 3081.29 | + | 17474.9i | 0.118844 | + | 0.673998i | ||||
\(877\) | 12712.6 | + | 22018.9i | 0.489481 | + | 0.847806i | 0.999927 | − | 0.0121039i | \(-0.00385290\pi\) |
−0.510446 | + | 0.859910i | \(0.670520\pi\) | |||||||
\(878\) | 12788.0 | − | 22149.5i | 0.491544 | − | 0.851379i | ||||
\(879\) | −13024.7 | − | 4740.60i | −0.499786 | − | 0.181907i | ||||
\(880\) | 685.967 | + | 1188.13i | 0.0262772 | + | 0.0455135i | ||||
\(881\) | 16937.5 | + | 14212.2i | 0.647716 | + | 0.543498i | 0.906377 | − | 0.422470i | \(-0.138837\pi\) |
−0.258661 | + | 0.965968i | \(0.583281\pi\) | |||||||
\(882\) | −38340.2 | −1.46370 | ||||||||
\(883\) | 6427.59 | + | 5393.39i | 0.244967 | + | 0.205552i | 0.757001 | − | 0.653413i | \(-0.226664\pi\) |
−0.512035 | + | 0.858965i | \(0.671108\pi\) | |||||||
\(884\) | 4695.29 | − | 1708.94i | 0.178642 | − | 0.0650204i | ||||
\(885\) | −565.881 | + | 3209.27i | −0.0214936 | + | 0.121896i | ||||
\(886\) | −635.684 | − | 3605.14i | −0.0241041 | − | 0.136701i | ||||
\(887\) | −24056.7 | −0.910646 | −0.455323 | − | 0.890326i | \(-0.650476\pi\) | ||||
−0.455323 | + | 0.890326i | \(0.650476\pi\) | |||||||
\(888\) | −10129.6 | + | 10877.5i | −0.382802 | + | 0.411064i | ||||
\(889\) | −70031.7 | −2.64205 | ||||||||
\(890\) | −329.536 | − | 1868.89i | −0.0124113 | − | 0.0703881i | ||||
\(891\) | −753.883 | + | 4275.48i | −0.0283457 | + | 0.160756i | ||||
\(892\) | 10100.3 | − | 3676.21i | 0.379129 | − | 0.137992i | ||||
\(893\) | −51440.0 | − | 43163.3i | −1.92763 | − | 1.61747i | ||||
\(894\) | −24331.3 | −0.910247 | ||||||||
\(895\) | 3460.87 | + | 2904.02i | 0.129256 | + | 0.108459i | ||||
\(896\) | −1820.18 | − | 3152.65i | −0.0678662 | − | 0.117548i | ||||
\(897\) | 45964.5 | + | 16729.7i | 1.71094 | + | 0.622730i | ||||
\(898\) | 10694.5 | − | 18523.5i | 0.397418 | − | 0.688347i | ||||
\(899\) | −2683.55 | − | 4648.05i | −0.0995567 | − | 0.172437i | ||||
\(900\) | −3332.86 | − | 18901.6i | −0.123439 | − | 0.700059i | ||||
\(901\) | 124.296 | − | 45.2399i | 0.00459588 | − | 0.00167276i | ||||
\(902\) | 10238.0 | − | 17732.7i | 0.377924 | − | 0.654583i | ||||
\(903\) | 28894.2 | − | 24245.1i | 1.06483 | − | 0.893496i | ||||
\(904\) | 3323.28 | − | 2788.56i | 0.122268 | − | 0.102595i | ||||
\(905\) | 4564.18 | + | 1661.23i | 0.167645 | + | 0.0610177i | ||||
\(906\) | −10431.4 | + | 59159.2i | −0.382516 | + | 2.16935i | ||||
\(907\) | 2947.00 | − | 16713.3i | 0.107887 | − | 0.611858i | −0.882141 | − | 0.470986i | \(-0.843898\pi\) |
0.990028 | − | 0.140872i | \(-0.0449907\pi\) | |||||||
\(908\) | −19734.0 | − | 7182.57i | −0.721249 | − | 0.262513i | ||||
\(909\) | −39714.2 | + | 33324.2i | −1.44911 | + | 1.21594i | ||||
\(910\) | −4748.62 | + | 3984.56i | −0.172984 | + | 0.145151i | ||||
\(911\) | 2921.89 | − | 5060.87i | 0.106264 | − | 0.184055i | −0.807990 | − | 0.589196i | \(-0.799444\pi\) |
0.914254 | + | 0.405142i | \(0.132778\pi\) | |||||||
\(912\) | −15371.0 | + | 5594.57i | −0.558096 | + | 0.203130i | ||||
\(913\) | 1605.18 | + | 9103.44i | 0.0581860 | + | 0.329989i | ||||
\(914\) | −12690.6 | − | 21980.7i | −0.459263 | − | 0.795468i | ||||
\(915\) | 11057.7 | − | 19152.4i | 0.399513 | − | 0.691977i | ||||
\(916\) | −3223.94 | − | 1173.42i | −0.116291 | − | 0.0423263i | ||||
\(917\) | 22110.4 | + | 38296.4i | 0.796239 | + | 1.37913i | ||||
\(918\) | −5944.12 | − | 4987.71i | −0.213709 | − | 0.179324i | ||||
\(919\) | −25966.7 | −0.932059 | −0.466030 | − | 0.884769i | \(-0.654316\pi\) | ||||
−0.466030 | + | 0.884769i | \(0.654316\pi\) | |||||||
\(920\) | 2797.48 | + | 2347.37i | 0.100250 | + | 0.0841199i | ||||
\(921\) | 26518.4 | − | 9651.90i | 0.948763 | − | 0.345321i | ||||
\(922\) | −1179.52 | + | 6689.41i | −0.0421318 | + | 0.238942i | ||||
\(923\) | 4444.78 | + | 25207.6i | 0.158507 | + | 0.898936i | ||||
\(924\) | 27791.3 | 0.989465 | ||||||||
\(925\) | −15807.8 | − | 20948.0i | −0.561898 | − | 0.744612i | ||||
\(926\) | 36987.9 | 1.31263 | ||||||||
\(927\) | −2663.27 | − | 15104.2i | −0.0943618 | − | 0.535153i | ||||
\(928\) | −817.863 | + | 4638.33i | −0.0289307 | + | 0.164074i | ||||
\(929\) | 33564.0 | − | 12216.3i | 1.18536 | − | 0.431435i | 0.327267 | − | 0.944932i | \(-0.393872\pi\) |
0.858092 | + | 0.513497i | \(0.171650\pi\) | |||||||
\(930\) | −1336.39 | − | 1121.36i | −0.0471202 | − | 0.0395386i | ||||
\(931\) | −57691.5 | −2.03090 | ||||||||
\(932\) | −13692.4 | − | 11489.3i | −0.481234 | − | 0.403803i | ||||
\(933\) | 588.030 | + | 1018.50i | 0.0206337 | + | 0.0357386i | ||||
\(934\) | 12990.4 | + | 4728.13i | 0.455096 | + | 0.165642i | ||||
\(935\) | −1423.92 | + | 2466.30i | −0.0498045 | + | 0.0862639i | ||||
\(936\) | 6190.81 | + | 10722.8i | 0.216189 | + | 0.374450i | ||||
\(937\) | 4017.51 | + | 22784.4i | 0.140071 | + | 0.794381i | 0.971194 | + | 0.238292i | \(0.0765875\pi\) |
−0.831123 | + | 0.556089i | \(0.812301\pi\) | |||||||
\(938\) | 14610.9 | − | 5317.92i | 0.508595 | − | 0.185113i | ||||
\(939\) | 21562.8 | − | 37347.9i | 0.749389 | − | 1.29798i | ||||
\(940\) | −4814.30 | + | 4039.68i | −0.167048 | + | 0.140170i | ||||
\(941\) | −7476.20 | + | 6273.28i | −0.258998 | + | 0.217325i | −0.763035 | − | 0.646357i | \(-0.776292\pi\) |
0.504037 | + | 0.863682i | \(0.331847\pi\) | |||||||
\(942\) | 17772.8 | + | 6468.77i | 0.614723 | + | 0.223741i | ||||
\(943\) | 9464.42 | − | 53675.4i | 0.326833 | − | 1.85356i | ||||
\(944\) | −378.509 | + | 2146.63i | −0.0130502 | + | 0.0740116i | ||||
\(945\) | 9046.00 | + | 3292.47i | 0.311393 | + | 0.113338i | ||||
\(946\) | −7283.67 | + | 6111.73i | −0.250331 | + | 0.210052i | ||||
\(947\) | −30563.4 | + | 25645.8i | −1.04876 | + | 0.880017i | −0.992963 | − | 0.118425i | \(-0.962215\pi\) |
−0.0557999 | + | 0.998442i | \(0.517771\pi\) | |||||||
\(948\) | −2161.02 | + | 3743.00i | −0.0740366 | + | 0.128235i | ||||
\(949\) | 18991.9 | − | 6912.49i | 0.649635 | − | 0.236448i | ||||
\(950\) | −5015.05 | − | 28441.8i | −0.171273 | − | 0.971340i | ||||
\(951\) | −32083.1 | − | 55569.6i | −1.09397 | − | 1.89481i | ||||
\(952\) | 3778.31 | − | 6544.23i | 0.128630 | − | 0.222794i | ||||
\(953\) | −44836.0 | − | 16319.0i | −1.52401 | − | 0.554694i | −0.561864 | − | 0.827230i | \(-0.689915\pi\) |
−0.962146 | + | 0.272536i | \(0.912138\pi\) | |||||||
\(954\) | 163.886 | + | 283.858i | 0.00556183 | + | 0.00963338i | ||||
\(955\) | 3523.85 | + | 2956.86i | 0.119402 | + | 0.100190i | ||||
\(956\) | 7538.12 | 0.255021 | ||||||||
\(957\) | −27544.0 | − | 23112.2i | −0.930378 | − | 0.780680i | ||||
\(958\) | −750.803 | + | 273.270i | −0.0253208 | + | 0.00921602i | ||||
\(959\) | 15008.8 | − | 85119.3i | 0.505381 | − | 2.86616i | ||||
\(960\) | 265.839 | + | 1507.65i | 0.00893741 | + | 0.0506866i | ||||
\(961\) | −28461.3 | −0.955365 | ||||||||
\(962\) | 14204.6 | + | 9210.87i | 0.476065 | + | 0.308701i | ||||
\(963\) | 68717.3 | 2.29947 | ||||||||
\(964\) | 1096.47 | + | 6218.41i | 0.0366339 | + | 0.207761i | ||||
\(965\) | −604.245 | + | 3426.85i | −0.0201568 | + | 0.114315i | ||||
\(966\) | 69514.3 | − | 25301.1i | 2.31531 | − | 0.842703i | ||||
\(967\) | −6541.71 | − | 5489.15i | −0.217546 | − | 0.182543i | 0.527501 | − | 0.849554i | \(-0.323129\pi\) |
−0.745048 | + | 0.667011i | \(0.767573\pi\) | |||||||
\(968\) | 3642.35 | 0.120940 | ||||||||
\(969\) | −26010.7 | − | 21825.6i | −0.862316 | − | 0.723569i | ||||
\(970\) | −4410.97 | − | 7640.02i | −0.146008 | − | 0.252893i | ||||
\(971\) | 50716.9 | + | 18459.5i | 1.67619 | + | 0.610085i | 0.992780 | − | 0.119947i | \(-0.0382724\pi\) |
0.683413 | + | 0.730032i | \(0.260495\pi\) | |||||||
\(972\) | −8730.29 | + | 15121.3i | −0.288091 | + | 0.498988i | ||||
\(973\) | −8182.91 | − | 14173.2i | −0.269612 | − | 0.466981i | ||||
\(974\) | 1509.00 | + | 8557.96i | 0.0496422 | + | 0.281535i | ||||
\(975\) | −34021.0 | + | 12382.6i | −1.11748 | + | 0.406730i | ||||
\(976\) | 7396.30 | − | 12810.8i | 0.242572 | − | 0.420146i | ||||
\(977\) | 17534.0 | − | 14712.7i | 0.574167 | − | 0.481784i | −0.308858 | − | 0.951108i | \(-0.599947\pi\) |
0.883026 | + | 0.469324i | \(0.155503\pi\) | |||||||
\(978\) | −19229.6 | + | 16135.5i | −0.628726 | + | 0.527564i | ||||
\(979\) | 9106.12 | + | 3314.36i | 0.297276 | + | 0.108199i | ||||
\(980\) | −937.595 | + | 5317.36i | −0.0305616 | + | 0.173323i | ||||
\(981\) | −14201.3 | + | 80539.8i | −0.462195 | + | 2.62124i | ||||
\(982\) | −24940.5 | − | 9077.62i | −0.810473 | − | 0.294988i | ||||
\(983\) | −24448.1 | + | 20514.4i | −0.793259 | + | 0.665623i | −0.946550 | − | 0.322558i | \(-0.895457\pi\) |
0.153291 | + | 0.988181i | \(0.451013\pi\) | |||||||
\(984\) | 17503.0 | − | 14686.8i | 0.567048 | − | 0.475810i | ||||
\(985\) | 5819.39 | − | 10079.5i | 0.188245 | − | 0.326050i | ||||
\(986\) | −9187.10 | + | 3343.83i | −0.296731 | + | 0.108001i | ||||
\(987\) | 22106.8 | + | 125374.i | 0.712934 | + | 4.04325i | ||||
\(988\) | 9315.47 | + | 16134.9i | 0.299964 | + | 0.519553i | ||||
\(989\) | −12654.5 | + | 21918.3i | −0.406867 | + | 0.704714i | ||||
\(990\) | −6631.36 | − | 2413.62i | −0.212887 | − | 0.0774847i | ||||
\(991\) | −3265.82 | − | 5656.56i | −0.104684 | − | 0.181318i | 0.808925 | − | 0.587912i | \(-0.200050\pi\) |
−0.913609 | + | 0.406594i | \(0.866717\pi\) | |||||||
\(992\) | −893.889 | − | 750.062i | −0.0286099 | − | 0.0240065i | ||||
\(993\) | 30411.5 | 0.971884 | ||||||||
\(994\) | 29654.1 | + | 24882.8i | 0.946250 | + | 0.793998i | ||||
\(995\) | −7986.32 | + | 2906.78i | −0.254456 | + | 0.0926143i | ||||
\(996\) | −1791.18 | + | 10158.3i | −0.0569837 | + | 0.323170i | ||||
\(997\) | −7251.84 | − | 41127.2i | −0.230359 | − | 1.30643i | −0.852170 | − | 0.523264i | \(-0.824714\pi\) |
0.621811 | − | 0.783167i | \(-0.286397\pi\) | |||||||
\(998\) | −22720.9 | −0.720659 | ||||||||
\(999\) | 1358.14 | − | 26255.7i | 0.0430126 | − | 0.831525i |
(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 | 74.4.f.a.9.1 | ✓ | 24 | |
37.33 | even | 9 | inner | 74.4.f.a.33.1 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.4.f.a.9.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
74.4.f.a.33.1 | yes | 24 | 37.33 | even | 9 | inner |