Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,3,Mod(5,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.h (of order \(10\), degree \(4\), 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: | \(0.899184872389\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 12x^{14} + 180x^{12} - 2562x^{10} + 25179x^{8} - 96398x^{6} + 239275x^{4} - 536393x^{2} + 1771561 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 5.4 | ||
Root | \(2.91048 - 0.945671i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.5 |
Dual form | 33.3.h.b.20.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.91048 | − | 0.945671i | 1.45524 | − | 0.472835i | 0.528626 | − | 0.848855i | \(-0.322707\pi\) |
0.926612 | + | 0.376020i | \(0.122707\pi\) | |||||||
\(3\) | −1.86408 | + | 2.35058i | −0.621360 | + | 0.783526i | ||||
\(4\) | 4.34051 | − | 3.15356i | 1.08513 | − | 0.788390i | ||||
\(5\) | −6.31437 | − | 2.05166i | −1.26287 | − | 0.410333i | −0.400357 | − | 0.916359i | \(-0.631114\pi\) |
−0.862518 | + | 0.506027i | \(0.831114\pi\) | |||||||
\(6\) | −3.20248 | + | 8.60410i | −0.533747 | + | 1.43402i | ||||
\(7\) | 2.47800 | − | 1.80037i | 0.354000 | − | 0.257196i | −0.396545 | − | 0.918015i | \(-0.629791\pi\) |
0.750545 | + | 0.660819i | \(0.229791\pi\) | |||||||
\(8\) | 2.45561 | − | 3.37986i | 0.306951 | − | 0.422482i | ||||
\(9\) | −2.05042 | − | 8.76332i | −0.227824 | − | 0.973702i | ||||
\(10\) | −20.3180 | −2.03180 | ||||||||
\(11\) | 10.9529 | + | 1.01736i | 0.995714 | + | 0.0924869i | ||||
\(12\) | −0.678356 | + | 16.0812i | −0.0565297 | + | 1.34010i | ||||
\(13\) | 5.01988 | + | 15.4496i | 0.386144 | + | 1.18843i | 0.935647 | + | 0.352938i | \(0.114817\pi\) |
−0.549503 | + | 0.835492i | \(0.685183\pi\) | |||||||
\(14\) | 5.50960 | − | 7.58331i | 0.393543 | − | 0.541665i | ||||
\(15\) | 16.5931 | − | 11.0180i | 1.10621 | − | 0.734530i | ||||
\(16\) | −2.68094 | + | 8.25108i | −0.167559 | + | 0.515693i | ||||
\(17\) | 0.766216 | + | 0.248959i | 0.0450715 | + | 0.0146446i | 0.331466 | − | 0.943467i | \(-0.392457\pi\) |
−0.286394 | + | 0.958112i | \(0.592457\pi\) | |||||||
\(18\) | −14.2549 | − | 23.5664i | −0.791940 | − | 1.30924i | ||||
\(19\) | −16.7481 | − | 12.1682i | −0.881479 | − | 0.640432i | 0.0521636 | − | 0.998639i | \(-0.483388\pi\) |
−0.933642 | + | 0.358207i | \(0.883388\pi\) | |||||||
\(20\) | −33.8776 | + | 11.0075i | −1.69388 | + | 0.550375i | ||||
\(21\) | −0.387274 | + | 9.18076i | −0.0184416 | + | 0.437179i | ||||
\(22\) | 32.8401 | − | 7.39680i | 1.49273 | − | 0.336218i | ||||
\(23\) | − | 27.3224i | − | 1.18793i | −0.804491 | − | 0.593965i | \(-0.797562\pi\) | ||
0.804491 | − | 0.593965i | \(-0.202438\pi\) | |||||||
\(24\) | 3.36716 | + | 12.0724i | 0.140299 | + | 0.503018i | ||||
\(25\) | 15.4365 | + | 11.2153i | 0.617462 | + | 0.448612i | ||||
\(26\) | 29.2204 | + | 40.2185i | 1.12386 | + | 1.54687i | ||||
\(27\) | 24.4210 | + | 11.5159i | 0.904481 | + | 0.426513i | ||||
\(28\) | 5.07819 | − | 15.6291i | 0.181364 | − | 0.558180i | ||||
\(29\) | −2.22341 | − | 3.06025i | −0.0766691 | − | 0.105526i | 0.768960 | − | 0.639297i | \(-0.220774\pi\) |
−0.845629 | + | 0.533771i | \(0.820774\pi\) | |||||||
\(30\) | 37.8744 | − | 47.7591i | 1.26248 | − | 1.59197i | ||||
\(31\) | −6.42137 | − | 19.7630i | −0.207141 | − | 0.637515i | −0.999619 | − | 0.0276136i | \(-0.991209\pi\) |
0.792478 | − | 0.609901i | \(-0.208791\pi\) | |||||||
\(32\) | 43.2608i | 1.35190i | ||||||||
\(33\) | −22.8084 | + | 23.8491i | −0.691162 | + | 0.722700i | ||||
\(34\) | 2.46549 | 0.0725143 | ||||||||
\(35\) | −19.3408 | + | 6.28420i | −0.552593 | + | 0.179548i | ||||
\(36\) | −36.5355 | − | 31.5711i | −1.01488 | − | 0.876975i | ||||
\(37\) | −31.1905 | + | 22.6613i | −0.842988 | + | 0.612466i | −0.923204 | − | 0.384311i | \(-0.874439\pi\) |
0.0802160 | + | 0.996778i | \(0.474439\pi\) | |||||||
\(38\) | −60.2520 | − | 19.5771i | −1.58558 | − | 0.515186i | ||||
\(39\) | −45.6729 | − | 16.9996i | −1.17110 | − | 0.435888i | ||||
\(40\) | −22.4400 | + | 16.3036i | −0.560999 | + | 0.407590i | ||||
\(41\) | 7.86024 | − | 10.8187i | 0.191713 | − | 0.263871i | −0.702330 | − | 0.711852i | \(-0.747857\pi\) |
0.894043 | + | 0.447981i | \(0.147857\pi\) | |||||||
\(42\) | 7.55483 | + | 27.0866i | 0.179877 | + | 0.644920i | ||||
\(43\) | 43.4125 | 1.00959 | 0.504797 | − | 0.863238i | \(-0.331567\pi\) | ||||
0.504797 | + | 0.863238i | \(0.331567\pi\) | |||||||
\(44\) | 50.7492 | − | 30.1247i | 1.15339 | − | 0.684651i | ||||
\(45\) | −5.03227 | + | 59.5416i | −0.111828 | + | 1.32315i | ||||
\(46\) | −25.8380 | − | 79.5212i | −0.561695 | − | 1.72872i | ||||
\(47\) | −11.6912 | + | 16.0916i | −0.248749 | + | 0.342374i | −0.915073 | − | 0.403289i | \(-0.867867\pi\) |
0.666323 | + | 0.745663i | \(0.267867\pi\) | |||||||
\(48\) | −14.3973 | − | 21.6824i | −0.299944 | − | 0.451717i | ||||
\(49\) | −12.2427 | + | 37.6791i | −0.249851 | + | 0.768962i | ||||
\(50\) | 55.5336 | + | 18.0440i | 1.11067 | + | 0.360880i | ||||
\(51\) | −2.01348 | + | 1.33697i | −0.0394801 | + | 0.0262151i | ||||
\(52\) | 70.5100 | + | 51.2285i | 1.35596 | + | 0.985164i | ||||
\(53\) | −16.8103 | + | 5.46201i | −0.317176 | + | 0.103057i | −0.463279 | − | 0.886213i | \(-0.653327\pi\) |
0.146102 | + | 0.989269i | \(0.453327\pi\) | |||||||
\(54\) | 81.9669 | + | 10.4224i | 1.51791 | + | 0.193007i | ||||
\(55\) | −67.0731 | − | 28.8955i | −1.21951 | − | 0.525373i | ||||
\(56\) | − | 12.7963i | − | 0.228505i | ||||||
\(57\) | 59.8221 | − | 16.6852i | 1.04951 | − | 0.292723i | ||||
\(58\) | −9.36516 | − | 6.80419i | −0.161468 | − | 0.117314i | ||||
\(59\) | 25.5837 | + | 35.2129i | 0.433621 | + | 0.596828i | 0.968780 | − | 0.247923i | \(-0.0797481\pi\) |
−0.535158 | + | 0.844752i | \(0.679748\pi\) | |||||||
\(60\) | 37.2766 | − | 100.151i | 0.621276 | − | 1.66918i | ||||
\(61\) | 3.29249 | − | 10.1333i | 0.0539753 | − | 0.166119i | −0.920435 | − | 0.390896i | \(-0.872165\pi\) |
0.974410 | + | 0.224777i | \(0.0721653\pi\) | |||||||
\(62\) | −37.3785 | − | 51.4471i | −0.602879 | − | 0.829792i | ||||
\(63\) | −20.8582 | − | 18.0240i | −0.331082 | − | 0.286095i | ||||
\(64\) | 30.1867 | + | 92.9052i | 0.471667 | + | 1.45164i | ||||
\(65\) | − | 107.854i | − | 1.65929i | ||||||
\(66\) | −43.8298 | + | 90.9814i | −0.664087 | + | 1.37851i | ||||
\(67\) | 72.2963 | 1.07905 | 0.539525 | − | 0.841970i | \(-0.318604\pi\) | ||||
0.539525 | + | 0.841970i | \(0.318604\pi\) | |||||||
\(68\) | 4.11087 | − | 1.33570i | 0.0604540 | − | 0.0196427i | ||||
\(69\) | 64.2234 | + | 50.9311i | 0.930774 | + | 0.738132i | ||||
\(70\) | −50.3481 | + | 36.5800i | −0.719258 | + | 0.522571i | ||||
\(71\) | −2.44412 | − | 0.794142i | −0.0344242 | − | 0.0111851i | 0.291754 | − | 0.956493i | \(-0.405761\pi\) |
−0.326178 | + | 0.945308i | \(0.605761\pi\) | |||||||
\(72\) | −34.6538 | − | 14.5892i | −0.481303 | − | 0.202627i | ||||
\(73\) | 36.7931 | − | 26.7318i | 0.504015 | − | 0.366188i | −0.306533 | − | 0.951860i | \(-0.599169\pi\) |
0.810549 | + | 0.585671i | \(0.199169\pi\) | |||||||
\(74\) | −69.3492 | + | 95.4510i | −0.937152 | + | 1.28988i | ||||
\(75\) | −55.1374 | + | 15.3786i | −0.735165 | + | 0.205047i | ||||
\(76\) | −111.068 | −1.46143 | ||||||||
\(77\) | 28.9728 | − | 17.1982i | 0.376270 | − | 0.223353i | ||||
\(78\) | −149.006 | − | 6.28555i | −1.91033 | − | 0.0805840i | ||||
\(79\) | −30.3585 | − | 93.4339i | −0.384285 | − | 1.18271i | −0.936998 | − | 0.349336i | \(-0.886407\pi\) |
0.552712 | − | 0.833372i | \(-0.313593\pi\) | |||||||
\(80\) | 33.8569 | − | 46.6000i | 0.423211 | − | 0.582500i | ||||
\(81\) | −72.5916 | + | 35.9370i | −0.896192 | + | 0.443666i | ||||
\(82\) | 12.6461 | − | 38.9207i | 0.154221 | − | 0.474643i | ||||
\(83\) | 30.3393 | + | 9.85783i | 0.365534 | + | 0.118769i | 0.486024 | − | 0.873945i | \(-0.338447\pi\) |
−0.120491 | + | 0.992714i | \(0.538447\pi\) | |||||||
\(84\) | 27.2711 | + | 41.0704i | 0.324656 | + | 0.488934i | ||||
\(85\) | −4.32739 | − | 3.14404i | −0.0509105 | − | 0.0369887i | ||||
\(86\) | 126.351 | − | 41.0540i | 1.46920 | − | 0.477372i | ||||
\(87\) | 11.3380 | + | 0.478272i | 0.130321 | + | 0.00549738i | ||||
\(88\) | 30.3345 | − | 34.5209i | 0.344710 | − | 0.392283i | ||||
\(89\) | − | 18.5409i | − | 0.208325i | −0.994560 | − | 0.104162i | \(-0.966784\pi\) | ||
0.994560 | − | 0.104162i | \(-0.0332161\pi\) | |||||||
\(90\) | 41.6605 | + | 178.053i | 0.462894 | + | 1.97837i | ||||
\(91\) | 40.2543 | + | 29.2464i | 0.442354 | + | 0.321389i | ||||
\(92\) | −86.1629 | − | 118.593i | −0.936553 | − | 1.28905i | ||||
\(93\) | 58.4243 | + | 21.7458i | 0.628218 | + | 0.233826i | ||||
\(94\) | −18.8097 | + | 57.8902i | −0.200103 | + | 0.615853i | ||||
\(95\) | 80.7886 | + | 111.196i | 0.850407 | + | 1.17048i | ||||
\(96\) | −101.688 | − | 80.6415i | −1.05925 | − | 0.840016i | ||||
\(97\) | −19.5614 | − | 60.2037i | −0.201664 | − | 0.620657i | −0.999834 | − | 0.0182248i | \(-0.994199\pi\) |
0.798170 | − | 0.602432i | \(-0.205801\pi\) | |||||||
\(98\) | 121.242i | 1.23716i | ||||||||
\(99\) | −13.5425 | − | 98.0694i | −0.136793 | − | 0.990600i | ||||
\(100\) | 102.371 | 1.02371 | ||||||||
\(101\) | −143.000 | + | 46.4634i | −1.41584 | + | 0.460034i | −0.914277 | − | 0.405089i | \(-0.867241\pi\) |
−0.501561 | + | 0.865122i | \(0.667241\pi\) | |||||||
\(102\) | −4.59586 | + | 5.79532i | −0.0450575 | + | 0.0568168i | ||||
\(103\) | 121.164 | − | 88.0311i | 1.17635 | − | 0.854671i | 0.184597 | − | 0.982814i | \(-0.440902\pi\) |
0.991756 | + | 0.128144i | \(0.0409019\pi\) | |||||||
\(104\) | 64.5443 | + | 20.9717i | 0.620618 | + | 0.201651i | ||||
\(105\) | 21.2812 | − | 57.1762i | 0.202678 | − | 0.544535i | ||||
\(106\) | −43.7608 | + | 31.7941i | −0.412838 | + | 0.299944i | ||||
\(107\) | 12.1974 | − | 16.7883i | 0.113995 | − | 0.156900i | −0.748207 | − | 0.663465i | \(-0.769085\pi\) |
0.862202 | + | 0.506565i | \(0.169085\pi\) | |||||||
\(108\) | 142.315 | − | 27.0285i | 1.31774 | − | 0.250264i | ||||
\(109\) | −105.794 | −0.970583 | −0.485291 | − | 0.874352i | \(-0.661286\pi\) | ||||
−0.485291 | + | 0.874352i | \(0.661286\pi\) | |||||||
\(110\) | −222.540 | − | 20.6707i | −2.02309 | − | 0.187915i | ||||
\(111\) | 4.87462 | − | 115.558i | 0.0439155 | − | 1.04106i | ||||
\(112\) | 8.21165 | + | 25.2729i | 0.0733183 | + | 0.225651i | ||||
\(113\) | −78.0396 | + | 107.412i | −0.690616 | + | 0.950552i | −1.00000 | 0.000385488i | \(-0.999877\pi\) | |
0.309384 | + | 0.950937i | \(0.399877\pi\) | |||||||
\(114\) | 158.332 | − | 105.134i | 1.38888 | − | 0.922226i | ||||
\(115\) | −56.0564 | + | 172.524i | −0.487447 | + | 1.50021i | ||||
\(116\) | −19.3014 | − | 6.27141i | −0.166391 | − | 0.0540638i | ||||
\(117\) | 125.097 | − | 75.6689i | 1.06920 | − | 0.646743i | ||||
\(118\) | 107.760 | + | 78.2925i | 0.913224 | + | 0.663496i | ||||
\(119\) | 2.34690 | − | 0.762555i | 0.0197219 | − | 0.00640802i | ||||
\(120\) | 3.50703 | − | 83.1381i | 0.0292253 | − | 0.692817i | ||||
\(121\) | 118.930 | + | 22.2859i | 0.982892 | + | 0.184181i | ||||
\(122\) | − | 32.6062i | − | 0.267264i | ||||||
\(123\) | 10.7781 | + | 38.6430i | 0.0876265 | + | 0.314171i | ||||
\(124\) | −90.1957 | − | 65.5310i | −0.727385 | − | 0.528476i | ||||
\(125\) | 23.1004 | + | 31.7950i | 0.184803 | + | 0.254360i | ||||
\(126\) | −77.7520 | − | 32.7334i | −0.617079 | − | 0.259789i | ||||
\(127\) | −45.3190 | + | 139.478i | −0.356843 | + | 1.09825i | 0.598091 | + | 0.801428i | \(0.295926\pi\) |
−0.954933 | + | 0.296820i | \(0.904074\pi\) | |||||||
\(128\) | 74.0031 | + | 101.857i | 0.578150 | + | 0.795755i | ||||
\(129\) | −80.9244 | + | 102.044i | −0.627321 | + | 0.791042i | ||||
\(130\) | −101.994 | − | 313.905i | −0.784569 | − | 2.41465i | ||||
\(131\) | − | 149.467i | − | 1.14097i | −0.821309 | − | 0.570484i | \(-0.806756\pi\) | ||
0.821309 | − | 0.570484i | \(-0.193244\pi\) | |||||||
\(132\) | −23.7902 | + | 175.445i | −0.180229 | + | 1.32913i | ||||
\(133\) | −63.4091 | −0.476760 | ||||||||
\(134\) | 210.417 | − | 68.3685i | 1.57027 | − | 0.510213i | ||||
\(135\) | −130.577 | − | 122.819i | −0.967234 | − | 0.909771i | ||||
\(136\) | 2.72298 | − | 1.97836i | 0.0200219 | − | 0.0145467i | ||||
\(137\) | 144.757 | + | 47.0345i | 1.05662 | + | 0.343318i | 0.785264 | − | 0.619161i | \(-0.212527\pi\) |
0.271359 | + | 0.962478i | \(0.412527\pi\) | |||||||
\(138\) | 235.085 | + | 87.4995i | 1.70351 | + | 0.634055i | ||||
\(139\) | −90.4769 | + | 65.7353i | −0.650913 | + | 0.472916i | −0.863582 | − | 0.504208i | \(-0.831784\pi\) |
0.212669 | + | 0.977124i | \(0.431784\pi\) | |||||||
\(140\) | −64.1311 | + | 88.2689i | −0.458079 | + | 0.630492i | ||||
\(141\) | −16.0311 | − | 57.4771i | −0.113696 | − | 0.407639i | ||||
\(142\) | −7.86454 | −0.0553841 | ||||||||
\(143\) | 39.2642 | + | 174.324i | 0.274575 | + | 1.21905i | ||||
\(144\) | 77.8039 | + | 6.57574i | 0.540305 | + | 0.0456649i | ||||
\(145\) | 7.76079 | + | 23.8853i | 0.0535227 | + | 0.164726i | ||||
\(146\) | 81.8060 | − | 112.596i | 0.560315 | − | 0.771207i | ||||
\(147\) | −65.7463 | − | 99.0142i | −0.447254 | − | 0.673566i | ||||
\(148\) | −63.9190 | + | 196.723i | −0.431885 | + | 1.32921i | ||||
\(149\) | −246.985 | − | 80.2503i | −1.65762 | − | 0.538592i | −0.677247 | − | 0.735756i | \(-0.736827\pi\) |
−0.980371 | + | 0.197164i | \(0.936827\pi\) | |||||||
\(150\) | −145.933 | + | 96.9007i | −0.972886 | + | 0.646005i | ||||
\(151\) | −71.2078 | − | 51.7355i | −0.471575 | − | 0.342619i | 0.326480 | − | 0.945204i | \(-0.394137\pi\) |
−0.798055 | + | 0.602585i | \(0.794137\pi\) | |||||||
\(152\) | −82.2536 | + | 26.7258i | −0.541142 | + | 0.175828i | ||||
\(153\) | 0.610640 | − | 7.22507i | 0.00399111 | − | 0.0472227i | ||||
\(154\) | 68.0607 | − | 77.4537i | 0.441953 | − | 0.502946i | ||||
\(155\) | 137.965i | 0.890098i | ||||||||
\(156\) | −251.853 | + | 70.2452i | −1.61444 | + | 0.450290i | ||||
\(157\) | 6.19326 | + | 4.49967i | 0.0394475 | + | 0.0286603i | 0.607334 | − | 0.794446i | \(-0.292239\pi\) |
−0.567887 | + | 0.823107i | \(0.692239\pi\) | |||||||
\(158\) | −176.715 | − | 243.228i | −1.11845 | − | 1.53942i | ||||
\(159\) | 18.4969 | − | 49.6956i | 0.116333 | − | 0.312551i | ||||
\(160\) | 88.7566 | − | 273.165i | 0.554729 | − | 1.70728i | ||||
\(161\) | −49.1905 | − | 67.7049i | −0.305531 | − | 0.420527i | ||||
\(162\) | −177.291 | + | 173.241i | −1.09439 | + | 1.06939i | ||||
\(163\) | 81.1315 | + | 249.697i | 0.497739 | + | 1.53188i | 0.812644 | + | 0.582760i | \(0.198027\pi\) |
−0.314905 | + | 0.949123i | \(0.601973\pi\) | |||||||
\(164\) | − | 71.7464i | − | 0.437478i | ||||||
\(165\) | 192.951 | − | 103.797i | 1.16940 | − | 0.629072i | ||||
\(166\) | 97.6240 | 0.588096 | ||||||||
\(167\) | 152.175 | − | 49.4447i | 0.911228 | − | 0.296076i | 0.184364 | − | 0.982858i | \(-0.440977\pi\) |
0.726863 | + | 0.686782i | \(0.240977\pi\) | |||||||
\(168\) | 30.0787 | + | 23.8533i | 0.179040 | + | 0.141984i | ||||
\(169\) | −76.7667 | + | 55.7743i | −0.454241 | + | 0.330025i | ||||
\(170\) | −15.5680 | − | 5.05835i | −0.0915765 | − | 0.0297550i | ||||
\(171\) | −72.2932 | + | 171.719i | −0.422767 | + | 1.00420i | ||||
\(172\) | 188.432 | − | 136.904i | 1.09554 | − | 0.795954i | ||||
\(173\) | 97.2924 | − | 133.912i | 0.562384 | − | 0.774055i | −0.429243 | − | 0.903189i | \(-0.641220\pi\) |
0.991627 | + | 0.129134i | \(0.0412197\pi\) | |||||||
\(174\) | 33.4512 | − | 9.32998i | 0.192248 | − | 0.0536206i | ||||
\(175\) | 58.4435 | 0.333963 | ||||||||
\(176\) | −37.7582 | + | 87.6454i | −0.214535 | + | 0.497985i | ||||
\(177\) | −130.461 | − | 5.50325i | −0.737065 | − | 0.0310918i | ||||
\(178\) | −17.5336 | − | 53.9628i | −0.0985032 | − | 0.303162i | ||||
\(179\) | −34.4072 | + | 47.3575i | −0.192219 | + | 0.264567i | −0.894238 | − | 0.447591i | \(-0.852282\pi\) |
0.702019 | + | 0.712158i | \(0.252282\pi\) | |||||||
\(180\) | 165.926 | + | 274.310i | 0.921809 | + | 1.52395i | ||||
\(181\) | 87.9703 | − | 270.745i | 0.486024 | − | 1.49583i | −0.344468 | − | 0.938798i | \(-0.611941\pi\) |
0.830492 | − | 0.557030i | \(-0.188059\pi\) | |||||||
\(182\) | 144.817 | + | 47.0537i | 0.795695 | + | 0.258537i | ||||
\(183\) | 17.6815 | + | 26.6284i | 0.0966203 | + | 0.145511i | ||||
\(184\) | −92.3459 | − | 67.0932i | −0.501880 | − | 0.364637i | ||||
\(185\) | 243.442 | − | 79.0991i | 1.31590 | − | 0.427563i | ||||
\(186\) | 190.607 | + | 8.04041i | 1.02477 | + | 0.0432280i | ||||
\(187\) | 8.13897 | + | 3.50632i | 0.0435239 | + | 0.0187504i | ||||
\(188\) | 106.715i | 0.567631i | ||||||||
\(189\) | 81.2481 | − | 15.4306i | 0.429884 | − | 0.0816435i | ||||
\(190\) | 340.288 | + | 247.234i | 1.79099 | + | 1.30123i | ||||
\(191\) | 80.7867 | + | 111.193i | 0.422967 | + | 0.582164i | 0.966321 | − | 0.257339i | \(-0.0828459\pi\) |
−0.543354 | + | 0.839504i | \(0.682846\pi\) | |||||||
\(192\) | −274.651 | − | 102.226i | −1.43047 | − | 0.532429i | ||||
\(193\) | 92.1162 | − | 283.505i | 0.477286 | − | 1.46894i | −0.365563 | − | 0.930786i | \(-0.619124\pi\) |
0.842850 | − | 0.538149i | \(-0.180876\pi\) | |||||||
\(194\) | −113.866 | − | 156.723i | −0.586937 | − | 0.807849i | ||||
\(195\) | 253.518 | + | 201.047i | 1.30009 | + | 1.03101i | ||||
\(196\) | 65.6840 | + | 202.155i | 0.335122 | + | 1.03140i | ||||
\(197\) | 58.1375i | 0.295114i | 0.989054 | + | 0.147557i | \(0.0471410\pi\) | ||||
−0.989054 | + | 0.147557i | \(0.952859\pi\) | |||||||
\(198\) | −132.157 | − | 272.622i | −0.667457 | − | 1.37688i | ||||
\(199\) | −125.049 | −0.628385 | −0.314193 | − | 0.949359i | \(-0.601734\pi\) | ||||
−0.314193 | + | 0.949359i | \(0.601734\pi\) | |||||||
\(200\) | 75.8123 | − | 24.6329i | 0.379061 | − | 0.123165i | ||||
\(201\) | −134.766 | + | 169.938i | −0.670478 | + | 0.845463i | ||||
\(202\) | −372.258 | + | 270.461i | −1.84286 | + | 1.33892i | ||||
\(203\) | −11.0192 | − | 3.58035i | −0.0542818 | − | 0.0176372i | ||||
\(204\) | −4.52332 | + | 12.1528i | −0.0221731 | + | 0.0595724i | ||||
\(205\) | −71.8288 | + | 52.1867i | −0.350384 | + | 0.254569i | ||||
\(206\) | 269.397 | − | 370.794i | 1.30775 | − | 1.79997i | ||||
\(207\) | −239.435 | + | 56.0224i | −1.15669 | + | 0.270640i | ||||
\(208\) | −140.934 | −0.677566 | ||||||||
\(209\) | −171.060 | − | 150.315i | −0.818469 | − | 0.719212i | ||||
\(210\) | 7.86865 | − | 186.535i | 0.0374698 | − | 0.888262i | ||||
\(211\) | −14.9542 | − | 46.0242i | −0.0708728 | − | 0.218124i | 0.909346 | − | 0.416040i | \(-0.136583\pi\) |
−0.980219 | + | 0.197916i | \(0.936583\pi\) | |||||||
\(212\) | −55.7406 | + | 76.7204i | −0.262927 | + | 0.361889i | ||||
\(213\) | 6.42272 | − | 4.26474i | 0.0301536 | − | 0.0200223i | ||||
\(214\) | 19.6241 | − | 60.3967i | 0.0917013 | − | 0.282228i | ||||
\(215\) | −274.123 | − | 89.0679i | −1.27499 | − | 0.414269i | ||||
\(216\) | 98.8904 | − | 54.2611i | 0.457826 | − | 0.251209i | ||||
\(217\) | −51.4928 | − | 37.4117i | −0.237294 | − | 0.172404i | ||||
\(218\) | −307.909 | + | 100.046i | −1.41243 | + | 0.458926i | ||||
\(219\) | −5.75021 | + | 136.315i | −0.0262567 | + | 0.622444i | ||||
\(220\) | −382.255 | + | 86.0980i | −1.73752 | + | 0.391354i | ||||
\(221\) | 13.0875i | 0.0592193i | ||||||||
\(222\) | −95.0925 | − | 340.939i | −0.428345 | − | 1.53576i | ||||
\(223\) | −171.282 | − | 124.444i | −0.768082 | − | 0.558044i | 0.133297 | − | 0.991076i | \(-0.457444\pi\) |
−0.901378 | + | 0.433032i | \(0.857444\pi\) | |||||||
\(224\) | 77.8855 | + | 107.200i | 0.347703 | + | 0.478573i | ||||
\(225\) | 66.6319 | − | 158.271i | 0.296142 | − | 0.703428i | ||||
\(226\) | −125.556 | + | 386.421i | −0.555556 | + | 1.70983i | ||||
\(227\) | 71.3484 | + | 98.2027i | 0.314310 | + | 0.432611i | 0.936719 | − | 0.350081i | \(-0.113846\pi\) |
−0.622409 | + | 0.782692i | \(0.713846\pi\) | |||||||
\(228\) | 207.040 | − | 261.075i | 0.908071 | − | 1.14506i | ||||
\(229\) | 99.7951 | + | 307.138i | 0.435786 | + | 1.34121i | 0.892279 | + | 0.451485i | \(0.149106\pi\) |
−0.456492 | + | 0.889727i | \(0.650894\pi\) | |||||||
\(230\) | 555.137i | 2.41364i | ||||||||
\(231\) | −13.5819 | + | 100.162i | −0.0587960 | + | 0.433600i | ||||
\(232\) | −15.8030 | −0.0681166 | ||||||||
\(233\) | −382.714 | + | 124.351i | −1.64255 | + | 0.533697i | −0.977106 | − | 0.212752i | \(-0.931757\pi\) |
−0.665443 | + | 0.746449i | \(0.731757\pi\) | |||||||
\(234\) | 292.533 | − | 338.533i | 1.25014 | − | 1.44672i | ||||
\(235\) | 106.837 | − | 77.6218i | 0.454626 | − | 0.330305i | ||||
\(236\) | 222.092 | + | 72.1621i | 0.941068 | + | 0.305771i | ||||
\(237\) | 276.214 | + | 102.808i | 1.16546 | + | 0.433790i | ||||
\(238\) | 6.10948 | − | 4.43879i | 0.0256701 | − | 0.0186504i | ||||
\(239\) | −0.188940 | + | 0.260053i | −0.000790543 | + | 0.00108809i | −0.809412 | − | 0.587241i | \(-0.800214\pi\) |
0.808622 | + | 0.588329i | \(0.200214\pi\) | |||||||
\(240\) | 46.4250 | + | 166.449i | 0.193437 | + | 0.693539i | ||||
\(241\) | 290.799 | 1.20664 | 0.603318 | − | 0.797500i | \(-0.293845\pi\) | ||||
0.603318 | + | 0.797500i | \(0.293845\pi\) | |||||||
\(242\) | 367.218 | − | 47.6060i | 1.51743 | − | 0.196719i | ||||
\(243\) | 50.8438 | − | 237.621i | 0.209234 | − | 0.977866i | ||||
\(244\) | −17.6648 | − | 54.3665i | −0.0723965 | − | 0.222814i | ||||
\(245\) | 154.610 | − | 212.802i | 0.631060 | − | 0.868580i | ||||
\(246\) | 67.9128 | + | 102.277i | 0.276068 | + | 0.415760i | ||||
\(247\) | 103.920 | − | 319.834i | 0.420730 | − | 1.29487i | ||||
\(248\) | −82.5644 | − | 26.8268i | −0.332921 | − | 0.108173i | ||||
\(249\) | −79.7264 | + | 52.9390i | −0.320186 | + | 0.212607i | ||||
\(250\) | 97.3007 | + | 70.6931i | 0.389203 | + | 0.282772i | ||||
\(251\) | −107.109 | + | 34.8019i | −0.426730 | + | 0.138653i | −0.514505 | − | 0.857487i | \(-0.672024\pi\) |
0.0877748 | + | 0.996140i | \(0.472024\pi\) | |||||||
\(252\) | −147.375 | − | 12.4557i | −0.584821 | − | 0.0494272i | ||||
\(253\) | 27.7966 | − | 299.258i | 0.109868 | − | 1.18284i | ||||
\(254\) | 448.803i | 1.76694i | ||||||||
\(255\) | 15.4569 | − | 4.31114i | 0.0606153 | − | 0.0169064i | ||||
\(256\) | −4.41230 | − | 3.20572i | −0.0172355 | − | 0.0125224i | ||||
\(257\) | 115.540 | + | 159.027i | 0.449572 | + | 0.618783i | 0.972306 | − | 0.233713i | \(-0.0750877\pi\) |
−0.522733 | + | 0.852496i | \(0.675088\pi\) | |||||||
\(258\) | −139.028 | + | 373.526i | −0.538868 | + | 1.44777i | ||||
\(259\) | −36.4915 | + | 112.309i | −0.140894 | + | 0.433626i | ||||
\(260\) | −340.123 | − | 468.139i | −1.30816 | − | 1.80053i | ||||
\(261\) | −22.2591 | + | 25.7592i | −0.0852838 | + | 0.0986943i | ||||
\(262\) | −141.346 | − | 435.020i | −0.539490 | − | 1.66038i | ||||
\(263\) | − | 378.327i | − | 1.43850i | −0.694749 | − | 0.719252i | \(-0.744485\pi\) | ||
0.694749 | − | 0.719252i | \(-0.255515\pi\) | |||||||
\(264\) | 24.5981 | + | 135.653i | 0.0931746 | + | 0.513838i | ||||
\(265\) | 117.353 | 0.442842 | ||||||||
\(266\) | −184.551 | + | 59.9641i | −0.693799 | + | 0.225429i | ||||
\(267\) | 43.5818 | + | 34.5617i | 0.163228 | + | 0.129444i | ||||
\(268\) | 313.803 | − | 227.991i | 1.17090 | − | 0.850712i | ||||
\(269\) | −191.309 | − | 62.1601i | −0.711186 | − | 0.231078i | −0.0689882 | − | 0.997617i | \(-0.521977\pi\) |
−0.642198 | + | 0.766539i | \(0.721977\pi\) | |||||||
\(270\) | −496.186 | − | 233.979i | −1.83773 | − | 0.866590i | ||||
\(271\) | −64.8950 | + | 47.1490i | −0.239465 | + | 0.173981i | −0.701045 | − | 0.713117i | \(-0.747283\pi\) |
0.461580 | + | 0.887099i | \(0.347283\pi\) | |||||||
\(272\) | −4.10836 | + | 5.65467i | −0.0151043 | + | 0.0207892i | ||||
\(273\) | −143.783 | + | 40.1031i | −0.526678 | + | 0.146898i | ||||
\(274\) | 465.792 | 1.69997 | ||||||||
\(275\) | 157.664 | + | 138.544i | 0.573324 | + | 0.503796i | ||||
\(276\) | 439.376 | + | 18.5343i | 1.59194 | + | 0.0671533i | ||||
\(277\) | 67.6484 | + | 208.200i | 0.244218 | + | 0.751626i | 0.995764 | + | 0.0919450i | \(0.0293084\pi\) |
−0.751546 | + | 0.659681i | \(0.770692\pi\) | |||||||
\(278\) | −201.167 | + | 276.882i | −0.723622 | + | 0.995980i | ||||
\(279\) | −160.023 | + | 96.7949i | −0.573558 | + | 0.346935i | ||||
\(280\) | −26.2537 | + | 80.8006i | −0.0937633 | + | 0.288574i | ||||
\(281\) | 472.140 | + | 153.407i | 1.68021 | + | 0.545934i | 0.984953 | − | 0.172825i | \(-0.0552894\pi\) |
0.695260 | + | 0.718759i | \(0.255289\pi\) | |||||||
\(282\) | −101.013 | − | 152.125i | −0.358201 | − | 0.539452i | ||||
\(283\) | 248.936 | + | 180.862i | 0.879632 | + | 0.639090i | 0.933154 | − | 0.359477i | \(-0.117045\pi\) |
−0.0535221 | + | 0.998567i | \(0.517045\pi\) | |||||||
\(284\) | −13.1131 | + | 4.26070i | −0.0461728 | + | 0.0150025i | ||||
\(285\) | −411.971 | − | 17.3783i | −1.44551 | − | 0.0609764i | ||||
\(286\) | 279.131 | + | 470.235i | 0.975981 | + | 1.64418i | ||||
\(287\) | − | 40.9601i | − | 0.142718i | ||||||
\(288\) | 379.108 | − | 88.7028i | 1.31635 | − | 0.307996i | ||||
\(289\) | −233.281 | − | 169.488i | −0.807200 | − | 0.586465i | ||||
\(290\) | 45.1752 | + | 62.1783i | 0.155777 | + | 0.214408i | ||||
\(291\) | 177.977 | + | 66.2439i | 0.611606 | + | 0.227642i | ||||
\(292\) | 75.4004 | − | 232.059i | 0.258221 | − | 0.794721i | ||||
\(293\) | −199.670 | − | 274.822i | −0.681466 | − | 0.937957i | 0.318484 | − | 0.947928i | \(-0.396826\pi\) |
−0.999950 | + | 0.00997075i | \(0.996826\pi\) | |||||||
\(294\) | −284.988 | − | 226.004i | −0.969347 | − | 0.768721i | ||||
\(295\) | −89.2997 | − | 274.836i | −0.302711 | − | 0.931648i | ||||
\(296\) | 161.067i | 0.544145i | ||||||||
\(297\) | 255.764 | + | 150.976i | 0.861158 | + | 0.508338i | ||||
\(298\) | −794.734 | −2.66689 | ||||||||
\(299\) | 422.120 | − | 137.155i | 1.41177 | − | 0.458712i | ||||
\(300\) | −190.827 | + | 240.630i | −0.636089 | + | 0.802099i | ||||
\(301\) | 107.576 | − | 78.1587i | 0.357396 | − | 0.259664i | ||||
\(302\) | −256.173 | − | 83.2358i | −0.848256 | − | 0.275615i | ||||
\(303\) | 157.347 | − | 422.743i | 0.519296 | − | 1.39519i | ||||
\(304\) | 145.301 | − | 105.568i | 0.477965 | − | 0.347262i | ||||
\(305\) | −41.5801 | + | 57.2300i | −0.136328 | + | 0.187639i | ||||
\(306\) | −5.05528 | − | 21.6058i | −0.0165205 | − | 0.0706073i | ||||
\(307\) | −396.129 | −1.29032 | −0.645161 | − | 0.764047i | \(-0.723210\pi\) | ||||
−0.645161 | + | 0.764047i | \(0.723210\pi\) | |||||||
\(308\) | 71.5209 | − | 166.016i | 0.232211 | − | 0.539014i | ||||
\(309\) | −18.9362 | + | 448.903i | −0.0612821 | + | 1.45276i | ||||
\(310\) | 130.470 | + | 401.544i | 0.420870 | + | 1.29530i | ||||
\(311\) | 51.1584 | − | 70.4134i | 0.164496 | − | 0.226410i | −0.718809 | − | 0.695207i | \(-0.755313\pi\) |
0.883306 | + | 0.468797i | \(0.155313\pi\) | |||||||
\(312\) | −169.611 | + | 112.623i | −0.543626 | + | 0.360972i | ||||
\(313\) | −185.075 | + | 569.601i | −0.591292 | + | 1.81981i | −0.0189146 | + | 0.999821i | \(0.506021\pi\) |
−0.572378 | + | 0.819990i | \(0.693979\pi\) | |||||||
\(314\) | 22.2805 | + | 7.23939i | 0.0709572 | + | 0.0230554i | ||||
\(315\) | 94.7271 | + | 156.604i | 0.300721 | + | 0.497156i | ||||
\(316\) | −426.421 | − | 309.813i | −1.34943 | − | 0.980421i | ||||
\(317\) | −2.33475 | + | 0.758605i | −0.00736513 | + | 0.00239308i | −0.312697 | − | 0.949853i | \(-0.601233\pi\) |
0.305332 | + | 0.952246i | \(0.401233\pi\) | |||||||
\(318\) | 6.83917 | − | 162.130i | 0.0215068 | − | 0.509843i | ||||
\(319\) | −21.2393 | − | 35.7805i | −0.0665808 | − | 0.112165i | ||||
\(320\) | − | 648.571i | − | 2.02678i | ||||||
\(321\) | 16.7253 | + | 59.9657i | 0.0521036 | + | 0.186809i | ||||
\(322\) | −207.194 | − | 150.535i | −0.643460 | − | 0.467501i | ||||
\(323\) | −9.80328 | − | 13.4931i | −0.0303507 | − | 0.0417742i | ||||
\(324\) | −201.755 | + | 384.907i | −0.622699 | + | 1.18798i | ||||
\(325\) | −95.7823 | + | 294.788i | −0.294715 | + | 0.907039i | ||||
\(326\) | 472.262 | + | 650.013i | 1.44866 | + | 1.99391i | ||||
\(327\) | 197.207 | − | 248.676i | 0.603081 | − | 0.760476i | ||||
\(328\) | −17.2640 | − | 53.1330i | −0.0526340 | − | 0.161991i | ||||
\(329\) | 60.9235i | 0.185178i | ||||||||
\(330\) | 463.421 | − | 484.566i | 1.40430 | − | 1.46838i | ||||
\(331\) | 368.074 | 1.11200 | 0.556002 | − | 0.831181i | \(-0.312335\pi\) | ||||
0.556002 | + | 0.831181i | \(0.312335\pi\) | |||||||
\(332\) | 162.775 | − | 52.8888i | 0.490286 | − | 0.159304i | ||||
\(333\) | 262.542 | + | 226.868i | 0.788413 | + | 0.681284i | ||||
\(334\) | 396.143 | − | 287.815i | 1.18606 | − | 0.861721i | ||||
\(335\) | −456.506 | − | 148.328i | −1.36270 | − | 0.442769i | ||||
\(336\) | −74.7130 | − | 27.8085i | −0.222360 | − | 0.0827634i | ||||
\(337\) | −478.841 | + | 347.898i | −1.42089 | + | 1.03234i | −0.429269 | + | 0.903177i | \(0.641229\pi\) |
−0.991624 | + | 0.129162i | \(0.958771\pi\) | |||||||
\(338\) | −170.684 | + | 234.926i | −0.504981 | + | 0.695047i | ||||
\(339\) | −107.009 | − | 383.663i | −0.315661 | − | 1.13175i | ||||
\(340\) | −28.6980 | −0.0844059 | ||||||||
\(341\) | −50.2264 | − | 222.994i | −0.147291 | − | 0.653940i | ||||
\(342\) | −48.0182 | + | 568.149i | −0.140404 | + | 1.66125i | ||||
\(343\) | 83.8781 | + | 258.150i | 0.244543 | + | 0.752625i | ||||
\(344\) | 106.604 | − | 146.728i | 0.309896 | − | 0.426536i | ||||
\(345\) | −301.037 | − | 453.363i | −0.872571 | − | 1.31409i | ||||
\(346\) | 156.531 | − | 481.753i | 0.452402 | − | 1.39235i | ||||
\(347\) | −280.182 | − | 91.0367i | −0.807442 | − | 0.262354i | −0.123928 | − | 0.992291i | \(-0.539549\pi\) |
−0.683514 | + | 0.729938i | \(0.739549\pi\) | |||||||
\(348\) | 50.7208 | − | 33.6790i | 0.145749 | − | 0.0967788i | ||||
\(349\) | −333.322 | − | 242.172i | −0.955076 | − | 0.693903i | −0.00307413 | − | 0.999995i | \(-0.500979\pi\) |
−0.952002 | + | 0.306092i | \(0.900979\pi\) | |||||||
\(350\) | 170.098 | − | 55.2683i | 0.485995 | − | 0.157909i | ||||
\(351\) | −55.3248 | + | 435.102i | −0.157620 | + | 1.23961i | ||||
\(352\) | −44.0117 | + | 473.829i | −0.125033 | + | 1.34611i | ||||
\(353\) | 135.577i | 0.384070i | 0.981388 | + | 0.192035i | \(0.0615086\pi\) | ||||
−0.981388 | + | 0.192035i | \(0.938491\pi\) | |||||||
\(354\) | −384.906 | + | 107.356i | −1.08731 | + | 0.303264i | ||||
\(355\) | 13.8038 | + | 10.0290i | 0.0388838 | + | 0.0282507i | ||||
\(356\) | −58.4698 | − | 80.4768i | −0.164241 | − | 0.226058i | ||||
\(357\) | −2.58237 | + | 6.93804i | −0.00723352 | + | 0.0194343i | ||||
\(358\) | −55.3568 | + | 170.371i | −0.154628 | + | 0.475896i | ||||
\(359\) | 163.860 | + | 225.534i | 0.456435 | + | 0.628229i | 0.973765 | − | 0.227557i | \(-0.0730739\pi\) |
−0.517330 | + | 0.855786i | \(0.673074\pi\) | |||||||
\(360\) | 188.885 | + | 163.219i | 0.524681 | + | 0.453387i | ||||
\(361\) | 20.8784 | + | 64.2571i | 0.0578349 | + | 0.177997i | ||||
\(362\) | − | 871.187i | − | 2.40659i | ||||||
\(363\) | −274.080 | + | 238.011i | −0.755040 | + | 0.655679i | ||||
\(364\) | 266.954 | 0.733391 | ||||||||
\(365\) | −287.170 | + | 93.3072i | −0.786767 | + | 0.255636i | ||||
\(366\) | 76.6434 | + | 60.7805i | 0.209408 | + | 0.166067i | ||||
\(367\) | 142.701 | − | 103.678i | 0.388830 | − | 0.282502i | −0.376146 | − | 0.926560i | \(-0.622751\pi\) |
0.764976 | + | 0.644059i | \(0.222751\pi\) | |||||||
\(368\) | 225.439 | + | 73.2497i | 0.612607 | + | 0.199048i | ||||
\(369\) | −110.924 | − | 46.6990i | −0.300608 | − | 0.126555i | ||||
\(370\) | 633.730 | − | 460.432i | 1.71278 | − | 1.24441i | ||||
\(371\) | −31.8224 | + | 43.7998i | −0.0857746 | + | 0.118059i | ||||
\(372\) | 322.168 | − | 89.8569i | 0.866042 | − | 0.241551i | ||||
\(373\) | 163.109 | 0.437289 | 0.218645 | − | 0.975805i | \(-0.429836\pi\) | ||||
0.218645 | + | 0.975805i | \(0.429836\pi\) | |||||||
\(374\) | 27.0041 | + | 2.50828i | 0.0722035 | + | 0.00670663i | ||||
\(375\) | −117.797 | − | 4.96908i | −0.314126 | − | 0.0132509i | ||||
\(376\) | 25.6782 | + | 79.0293i | 0.0682930 | + | 0.210184i | ||||
\(377\) | 36.1185 | − | 49.7128i | 0.0958049 | − | 0.131864i | ||||
\(378\) | 221.878 | − | 121.744i | 0.586979 | − | 0.322075i | ||||
\(379\) | 16.4492 | − | 50.6253i | 0.0434015 | − | 0.133576i | −0.927008 | − | 0.375042i | \(-0.877628\pi\) |
0.970409 | + | 0.241466i | \(0.0776283\pi\) | |||||||
\(380\) | 701.327 | + | 227.875i | 1.84560 | + | 0.599671i | ||||
\(381\) | −243.375 | − | 366.523i | −0.638778 | − | 0.962003i | ||||
\(382\) | 340.280 | + | 247.228i | 0.890785 | + | 0.647193i | ||||
\(383\) | 85.2768 | − | 27.7081i | 0.222655 | − | 0.0723449i | −0.195565 | − | 0.980691i | \(-0.562654\pi\) |
0.418220 | + | 0.908346i | \(0.362654\pi\) | |||||||
\(384\) | −377.369 | − | 15.9187i | −0.982733 | − | 0.0414549i | ||||
\(385\) | −218.230 | + | 49.1534i | −0.566831 | + | 0.127671i | ||||
\(386\) | − | 912.245i | − | 2.36333i | ||||||
\(387\) | −89.0139 | − | 380.438i | −0.230010 | − | 0.983044i | ||||
\(388\) | −274.762 | − | 199.626i | −0.708150 | − | 0.514501i | ||||
\(389\) | 158.468 | + | 218.112i | 0.407372 | + | 0.560699i | 0.962575 | − | 0.271016i | \(-0.0873595\pi\) |
−0.555203 | + | 0.831715i | \(0.687360\pi\) | |||||||
\(390\) | 927.983 | + | 345.399i | 2.37944 | + | 0.885639i | ||||
\(391\) | 6.80215 | − | 20.9349i | 0.0173968 | − | 0.0535419i | ||||
\(392\) | 97.2868 | + | 133.904i | 0.248181 | + | 0.341591i | ||||
\(393\) | 351.333 | + | 278.618i | 0.893978 | + | 0.708952i | ||||
\(394\) | 54.9789 | + | 169.208i | 0.139540 | + | 0.429461i | ||||
\(395\) | 652.262i | 1.65130i | ||||||||
\(396\) | −368.049 | − | 382.963i | −0.929417 | − | 0.967079i | ||||
\(397\) | 211.490 | 0.532720 | 0.266360 | − | 0.963874i | \(-0.414179\pi\) | ||||
0.266360 | + | 0.963874i | \(0.414179\pi\) | |||||||
\(398\) | −363.951 | + | 118.255i | −0.914450 | + | 0.297123i | ||||
\(399\) | 118.200 | − | 149.048i | 0.296239 | − | 0.373554i | ||||
\(400\) | −133.923 | + | 97.3006i | −0.334807 | + | 0.243252i | ||||
\(401\) | 427.784 | + | 138.995i | 1.06679 | + | 0.346622i | 0.789237 | − | 0.614088i | \(-0.210476\pi\) |
0.277555 | + | 0.960710i | \(0.410476\pi\) | |||||||
\(402\) | −231.528 | + | 622.045i | −0.575940 | + | 1.54737i | ||||
\(403\) | 273.095 | − | 198.415i | 0.677655 | − | 0.492345i | ||||
\(404\) | −474.165 | + | 652.633i | −1.17368 | + | 1.61543i | ||||
\(405\) | 532.101 | − | 77.9859i | 1.31383 | − | 0.192558i | ||||
\(406\) | −35.4569 | −0.0873323 | ||||||||
\(407\) | −364.680 | + | 216.474i | −0.896020 | + | 0.531876i | ||||
\(408\) | −0.425560 | + | 10.0884i | −0.00104304 | + | 0.0247264i | ||||
\(409\) | −47.6795 | − | 146.742i | −0.116576 | − | 0.358783i | 0.875697 | − | 0.482862i | \(-0.160403\pi\) |
−0.992272 | + | 0.124078i | \(0.960403\pi\) | |||||||
\(410\) | −159.705 | + | 219.814i | −0.389523 | + | 0.536133i | ||||
\(411\) | −380.397 | + | 252.587i | −0.925541 | + | 0.614568i | ||||
\(412\) | 248.303 | − | 764.199i | 0.602678 | − | 1.85485i | ||||
\(413\) | 126.793 | + | 41.1974i | 0.307004 | + | 0.0997516i | ||||
\(414\) | −643.891 | + | 389.478i | −1.55529 | + | 0.940769i | ||||
\(415\) | −171.349 | − | 124.492i | −0.412888 | − | 0.299981i | ||||
\(416\) | −668.362 | + | 217.164i | −1.60664 | + | 0.522028i | ||||
\(417\) | 14.1402 | − | 335.209i | 0.0339093 | − | 0.803858i | ||||
\(418\) | −640.015 | − | 275.723i | −1.53114 | − | 0.659623i | ||||
\(419\) | − | 755.530i | − | 1.80317i | −0.432599 | − | 0.901587i | \(-0.642403\pi\) | ||
0.432599 | − | 0.901587i | \(-0.357597\pi\) | |||||||
\(420\) | −87.9374 | − | 315.285i | −0.209375 | − | 0.750679i | ||||
\(421\) | 353.452 | + | 256.798i | 0.839553 | + | 0.609971i | 0.922246 | − | 0.386604i | \(-0.126352\pi\) |
−0.0826929 | + | 0.996575i | \(0.526352\pi\) | |||||||
\(422\) | −87.0474 | − | 119.810i | −0.206274 | − | 0.283911i | ||||
\(423\) | 164.988 | + | 69.4594i | 0.390042 | + | 0.164207i | ||||
\(424\) | −22.8188 | + | 70.2292i | −0.0538180 | + | 0.165635i | ||||
\(425\) | 9.03558 | + | 12.4364i | 0.0212602 | + | 0.0292621i | ||||
\(426\) | 14.6601 | − | 18.4862i | 0.0344134 | − | 0.0433949i | ||||
\(427\) | −10.0848 | − | 31.0379i | −0.0236179 | − | 0.0726883i | ||||
\(428\) | − | 111.335i | − | 0.260129i | ||||||
\(429\) | −482.954 | − | 232.660i | −1.12577 | − | 0.542332i | ||||
\(430\) | −882.057 | −2.05129 | ||||||||
\(431\) | 9.25765 | − | 3.00799i | 0.0214795 | − | 0.00697910i | −0.298258 | − | 0.954485i | \(-0.596405\pi\) |
0.319737 | + | 0.947506i | \(0.396405\pi\) | |||||||
\(432\) | −160.489 | + | 170.626i | −0.371503 | + | 0.394968i | ||||
\(433\) | 47.9543 | − | 34.8408i | 0.110749 | − | 0.0804638i | −0.531032 | − | 0.847352i | \(-0.678196\pi\) |
0.641781 | + | 0.766888i | \(0.278196\pi\) | |||||||
\(434\) | −185.248 | − | 60.1907i | −0.426838 | − | 0.138688i | ||||
\(435\) | −70.6109 | − | 26.2817i | −0.162324 | − | 0.0604177i | ||||
\(436\) | −459.197 | + | 333.626i | −1.05320 | + | 0.765198i | ||||
\(437\) | −332.465 | + | 457.598i | −0.760788 | + | 1.04714i | ||||
\(438\) | 112.173 | + | 402.180i | 0.256104 | + | 0.918218i | ||||
\(439\) | 444.724 | 1.01304 | 0.506519 | − | 0.862229i | \(-0.330932\pi\) | ||||
0.506519 | + | 0.862229i | \(0.330932\pi\) | |||||||
\(440\) | −262.368 | + | 155.741i | −0.596292 | + | 0.353958i | ||||
\(441\) | 355.297 | + | 30.0286i | 0.805662 | + | 0.0680920i | ||||
\(442\) | 12.3764 | + | 38.0908i | 0.0280010 | + | 0.0861782i | ||||
\(443\) | 314.672 | − | 433.108i | 0.710320 | − | 0.977671i | −0.289470 | − | 0.957187i | \(-0.593479\pi\) |
0.999790 | − | 0.0204842i | \(-0.00652079\pi\) | |||||||
\(444\) | −343.261 | − | 516.953i | −0.773111 | − | 1.16431i | ||||
\(445\) | −38.0397 | + | 117.074i | −0.0854824 | + | 0.263088i | ||||
\(446\) | −616.196 | − | 200.214i | −1.38160 | − | 0.448910i | ||||
\(447\) | 649.034 | − | 430.964i | 1.45198 | − | 0.964126i | ||||
\(448\) | 242.067 | + | 175.872i | 0.540327 | + | 0.392571i | ||||
\(449\) | 731.756 | − | 237.762i | 1.62975 | − | 0.529537i | 0.655534 | − | 0.755166i | \(-0.272444\pi\) |
0.974213 | + | 0.225629i | \(0.0724438\pi\) | |||||||
\(450\) | 44.2578 | − | 523.657i | 0.0983508 | − | 1.16368i | ||||
\(451\) | 97.0986 | − | 110.499i | 0.215296 | − | 0.245009i | ||||
\(452\) | 712.327i | 1.57594i | ||||||||
\(453\) | 254.345 | − | 70.9404i | 0.561469 | − | 0.156601i | ||||
\(454\) | 300.525 | + | 218.344i | 0.661950 | + | 0.480935i | ||||
\(455\) | −194.177 | − | 267.261i | −0.426762 | − | 0.587387i | ||||
\(456\) | 90.5062 | − | 243.162i | 0.198478 | − | 0.533251i | ||||
\(457\) | 52.4263 | − | 161.352i | 0.114718 | − | 0.353067i | −0.877170 | − | 0.480180i | \(-0.840571\pi\) |
0.991888 | + | 0.127113i | \(0.0405712\pi\) | |||||||
\(458\) | 580.902 | + | 799.543i | 1.26835 | + | 1.74573i | ||||
\(459\) | 15.8448 | + | 14.9035i | 0.0345203 | + | 0.0324694i | ||||
\(460\) | 300.751 | + | 925.618i | 0.653807 | + | 2.01221i | ||||
\(461\) | 266.355i | 0.577777i | 0.957363 | + | 0.288888i | \(0.0932857\pi\) | ||||
−0.957363 | + | 0.288888i | \(0.906714\pi\) | |||||||
\(462\) | 55.1902 | + | 304.362i | 0.119459 | + | 0.658792i | ||||
\(463\) | −704.848 | −1.52235 | −0.761175 | − | 0.648547i | \(-0.775377\pi\) | ||||
−0.761175 | + | 0.648547i | \(0.775377\pi\) | |||||||
\(464\) | 31.2112 | − | 10.1411i | 0.0672656 | − | 0.0218559i | ||||
\(465\) | −324.298 | − | 257.178i | −0.697414 | − | 0.553071i | ||||
\(466\) | −996.284 | + | 723.843i | −2.13795 | + | 1.55331i | ||||
\(467\) | −642.132 | − | 208.641i | −1.37502 | − | 0.446770i | −0.473988 | − | 0.880531i | \(-0.657186\pi\) |
−0.901028 | + | 0.433762i | \(0.857186\pi\) | |||||||
\(468\) | 304.357 | − | 722.942i | 0.650335 | − | 1.54475i | ||||
\(469\) | 179.150 | − | 130.160i | 0.381983 | − | 0.277527i | ||||
\(470\) | 237.542 | − | 326.949i | 0.505409 | − | 0.695636i | ||||
\(471\) | −22.1216 | + | 6.17000i | −0.0469672 | + | 0.0130998i | ||||
\(472\) | 181.838 | 0.385250 | ||||||||
\(473\) | 475.491 | + | 44.1660i | 1.00527 | + | 0.0933742i | ||||
\(474\) | 901.138 | + | 38.0129i | 1.90113 | + | 0.0801960i | ||||
\(475\) | −122.063 | − | 375.670i | −0.256974 | − | 0.790884i | ||||
\(476\) | 7.78198 | − | 10.7110i | 0.0163487 | − | 0.0225020i | ||||
\(477\) | 82.3336 | + | 136.115i | 0.172607 | + | 0.285356i | ||||
\(478\) | −0.303980 | + | 0.935553i | −0.000635941 | + | 0.00195722i | ||||
\(479\) | 665.556 | + | 216.252i | 1.38947 | + | 0.451466i | 0.905771 | − | 0.423768i | \(-0.139293\pi\) |
0.483700 | + | 0.875234i | \(0.339293\pi\) | |||||||
\(480\) | 476.645 | + | 717.830i | 0.993011 | + | 1.49548i | ||||
\(481\) | −506.680 | − | 368.124i | −1.05339 | − | 0.765331i | ||||
\(482\) | 846.365 | − | 275.001i | 1.75594 | − | 0.570541i | ||||
\(483\) | 250.841 | + | 10.5813i | 0.519339 | + | 0.0219074i | ||||
\(484\) | 586.496 | − | 278.321i | 1.21177 | − | 0.575043i | ||||
\(485\) | 420.282i | 0.866560i | ||||||||
\(486\) | −76.7320 | − | 739.673i | −0.157885 | − | 1.52196i | ||||
\(487\) | 528.569 | + | 384.028i | 1.08536 | + | 0.788558i | 0.978609 | − | 0.205729i | \(-0.0659564\pi\) |
0.106747 | + | 0.994286i | \(0.465956\pi\) | |||||||
\(488\) | −26.1639 | − | 36.0115i | −0.0536145 | − | 0.0737941i | ||||
\(489\) | −738.167 | − | 274.749i | −1.50954 | − | 0.561859i | ||||
\(490\) | 248.747 | − | 765.565i | 0.507647 | − | 1.56238i | ||||
\(491\) | −36.3470 | − | 50.0274i | −0.0740265 | − | 0.101889i | 0.770398 | − | 0.637563i | \(-0.220057\pi\) |
−0.844425 | + | 0.535674i | \(0.820057\pi\) | |||||||
\(492\) | 168.645 | + | 133.741i | 0.342775 | + | 0.271831i | ||||
\(493\) | −0.941732 | − | 2.89835i | −0.00191021 | − | 0.00587901i | ||||
\(494\) | − | 1029.14i | − | 2.08329i | ||||||
\(495\) | −115.693 | + | 647.031i | −0.233723 | + | 1.30713i | ||||
\(496\) | 180.281 | 0.363470 | ||||||||
\(497\) | −7.48628 | + | 2.43244i | −0.0150629 | + | 0.00489424i | ||||
\(498\) | −181.979 | + | 229.473i | −0.365419 | + | 0.460789i | ||||
\(499\) | −266.970 | + | 193.965i | −0.535010 | + | 0.388707i | −0.822228 | − | 0.569158i | \(-0.807269\pi\) |
0.287219 | + | 0.957865i | \(0.407269\pi\) | |||||||
\(500\) | 200.535 | + | 65.1577i | 0.401069 | + | 0.130315i | ||||
\(501\) | −167.443 | + | 449.868i | −0.334217 | + | 0.897940i | ||||
\(502\) | −278.828 | + | 202.580i | −0.555434 | + | 0.403547i | ||||
\(503\) | −204.067 | + | 280.874i | −0.405700 | + | 0.558398i | −0.962163 | − | 0.272474i | \(-0.912158\pi\) |
0.556463 | + | 0.830872i | \(0.312158\pi\) | |||||||
\(504\) | −112.138 | + | 26.2378i | −0.222496 | + | 0.0520591i | ||||
\(505\) | 998.280 | 1.97679 | ||||||||
\(506\) | −202.098 | − | 897.270i | −0.399404 | − | 1.77326i | ||||
\(507\) | 11.9975 | − | 284.414i | 0.0236637 | − | 0.560974i | ||||
\(508\) | 243.144 | + | 748.320i | 0.478630 | + | 1.47307i | ||||
\(509\) | −503.258 | + | 692.675i | −0.988719 | + | 1.36086i | −0.0567219 | + | 0.998390i | \(0.518065\pi\) |
−0.931997 | + | 0.362465i | \(0.881935\pi\) | |||||||
\(510\) | 40.9100 | − | 27.1646i | 0.0802157 | − | 0.0532639i | ||||
\(511\) | 43.0462 | − | 132.483i | 0.0842391 | − | 0.259261i | ||||
\(512\) | −494.832 | − | 160.781i | −0.966468 | − | 0.314025i | ||||
\(513\) | −268.878 | − | 490.028i | −0.524129 | − | 0.955221i | ||||
\(514\) | 486.664 | + | 353.582i | 0.946817 | + | 0.687903i | ||||
\(515\) | −945.687 | + | 307.272i | −1.83629 | + | 0.596645i | ||||
\(516\) | −29.4492 | + | 698.125i | −0.0570720 | + | 1.35295i | ||||
\(517\) | −144.423 | + | 164.355i | −0.279348 | + | 0.317901i | ||||
\(518\) | 361.382i | 0.697649i | ||||||||
\(519\) | 133.409 | + | 478.315i | 0.257049 | + | 0.921609i | ||||
\(520\) | −364.530 | − | 264.846i | −0.701019 | − | 0.509320i | ||||
\(521\) | −418.891 | − | 576.554i | −0.804013 | − | 1.10663i | −0.992220 | − | 0.124499i | \(-0.960268\pi\) |
0.188207 | − | 0.982129i | \(-0.439732\pi\) | |||||||
\(522\) | −40.4248 | + | 96.0213i | −0.0774421 | + | 0.183949i | ||||
\(523\) | 155.721 | − | 479.261i | 0.297746 | − | 0.916369i | −0.684539 | − | 0.728976i | \(-0.739996\pi\) |
0.982285 | − | 0.187392i | \(-0.0600036\pi\) | |||||||
\(524\) | −471.353 | − | 648.762i | −0.899529 | − | 1.23809i | ||||
\(525\) | −108.943 | + | 137.376i | −0.207511 | + | 0.261668i | ||||
\(526\) | −357.772 | − | 1101.11i | −0.680176 | − | 2.09337i | ||||
\(527\) | − | 16.7414i | − | 0.0317673i | ||||||
\(528\) | −135.633 | − | 252.132i | −0.256881 | − | 0.477522i | ||||
\(529\) | −217.513 | −0.411179 | ||||||||
\(530\) | 341.553 | − | 110.977i | 0.644440 | − | 0.209391i | ||||
\(531\) | 256.124 | − | 296.399i | 0.482344 | − | 0.558190i | ||||
\(532\) | −275.227 | + | 199.964i | −0.517345 | + | 0.375873i | ||||
\(533\) | 206.602 | + | 67.1290i | 0.387621 | + | 0.125946i | ||||
\(534\) | 159.528 | + | 59.3769i | 0.298741 | + | 0.111193i | ||||
\(535\) | −111.463 | + | 80.9826i | −0.208342 | + | 0.151369i | ||||
\(536\) | 177.532 | − | 244.351i | 0.331216 | − | 0.455879i | ||||
\(537\) | −47.1796 | − | 169.155i | −0.0878577 | − | 0.315000i | ||||
\(538\) | −615.583 | −1.14421 | ||||||||
\(539\) | −172.425 | + | 400.239i | −0.319899 | + | 0.742558i | ||||
\(540\) | −954.086 | − | 121.315i | −1.76683 | − | 0.224658i | ||||
\(541\) | −181.281 | − | 557.925i | −0.335085 | − | 1.03128i | −0.966680 | − | 0.255987i | \(-0.917600\pi\) |
0.631596 | − | 0.775298i | \(-0.282400\pi\) | |||||||
\(542\) | −144.288 | + | 198.595i | −0.266214 | + | 0.366412i | ||||
\(543\) | 472.423 | + | 711.471i | 0.870024 | + | 1.31026i | ||||
\(544\) | −10.7702 | + | 33.1471i | −0.0197981 | + | 0.0609322i | ||||
\(545\) | 668.020 | + | 217.053i | 1.22572 | + | 0.398262i | ||||
\(546\) | −380.553 | + | 252.690i | −0.696983 | + | 0.462803i | ||||
\(547\) | −557.289 | − | 404.894i | −1.01881 | − | 0.740209i | −0.0527711 | − | 0.998607i | \(-0.516805\pi\) |
−0.966039 | + | 0.258398i | \(0.916805\pi\) | |||||||
\(548\) | 776.646 | − | 252.348i | 1.41724 | − | 0.460489i | ||||
\(549\) | −95.5519 | − | 8.07575i | −0.174047 | − | 0.0147099i | ||||
\(550\) | 589.895 | + | 254.131i | 1.07254 | + | 0.462056i | ||||
\(551\) | 78.3083i | 0.142120i | ||||||||
\(552\) | 329.848 | − | 91.9990i | 0.597550 | − | 0.166665i | ||||
\(553\) | −243.444 | − | 176.873i | −0.440225 | − | 0.319842i | ||||
\(554\) | 393.778 | + | 541.989i | 0.710790 | + | 0.978319i | ||||
\(555\) | −267.867 | + | 719.676i | −0.482642 | + | 1.29671i | ||||
\(556\) | −185.415 | + | 570.649i | −0.333480 | + | 1.02635i | ||||
\(557\) | −363.725 | − | 500.624i | −0.653007 | − | 0.898787i | 0.346218 | − | 0.938154i | \(-0.387466\pi\) |
−0.999225 | + | 0.0393671i | \(0.987466\pi\) | |||||||
\(558\) | −374.206 | + | 433.048i | −0.670619 | + | 0.776071i | ||||
\(559\) | 217.925 | + | 670.706i | 0.389849 | + | 1.19983i | ||||
\(560\) | − | 176.430i | − | 0.315053i | ||||||
\(561\) | −23.4136 | + | 12.5952i | −0.0417354 | + | 0.0224514i | ||||
\(562\) | 1519.22 | 2.70325 | ||||||||
\(563\) | 541.408 | − | 175.914i | 0.961648 | − | 0.312458i | 0.214208 | − | 0.976788i | \(-0.431283\pi\) |
0.747440 | + | 0.664330i | \(0.231283\pi\) | |||||||
\(564\) | −250.841 | − | 198.924i | −0.444753 | − | 0.352703i | ||||
\(565\) | 713.145 | − | 518.130i | 1.26220 | − | 0.917045i | ||||
\(566\) | 895.558 | + | 290.984i | 1.58226 | + | 0.514107i | ||||
\(567\) | −115.182 | + | 219.744i | −0.203143 | + | 0.387555i | ||||
\(568\) | −8.68589 | + | 6.31067i | −0.0152921 | + | 0.0111103i | ||||
\(569\) | 529.905 | − | 729.352i | 0.931292 | − | 1.28181i | −0.0280618 | − | 0.999606i | \(-0.508934\pi\) |
0.959354 | − | 0.282207i | \(-0.0910665\pi\) | |||||||
\(570\) | −1215.47 | + | 339.010i | −2.13240 | + | 0.594754i | ||||
\(571\) | −804.182 | −1.40837 | −0.704187 | − | 0.710014i | \(-0.748688\pi\) | ||||
−0.704187 | + | 0.710014i | \(0.748688\pi\) | |||||||
\(572\) | 720.168 | + | 632.832i | 1.25904 | + | 1.10635i | ||||
\(573\) | −411.961 | − | 17.3779i | −0.718955 | − | 0.0303279i | ||||
\(574\) | −38.7348 | − | 119.213i | −0.0674822 | − | 0.207689i | ||||
\(575\) | 306.429 | − | 421.763i | 0.532920 | − | 0.733501i | ||||
\(576\) | 752.262 | − | 455.030i | 1.30601 | − | 0.789983i | ||||
\(577\) | −243.227 | + | 748.576i | −0.421538 | + | 1.29736i | 0.484733 | + | 0.874662i | \(0.338917\pi\) |
−0.906271 | + | 0.422697i | \(0.861083\pi\) | |||||||
\(578\) | −839.238 | − | 272.685i | −1.45197 | − | 0.471773i | ||||
\(579\) | 494.687 | + | 745.001i | 0.854382 | + | 1.28670i | ||||
\(580\) | 109.009 | + | 79.2000i | 0.187947 | + | 0.136552i | ||||
\(581\) | 92.9285 | − | 30.1943i | 0.159946 | − | 0.0519695i | ||||
\(582\) | 580.643 | + | 24.4934i | 0.997669 | + | 0.0420849i | ||||
\(583\) | −189.678 | + | 42.7225i | −0.325348 | + | 0.0732805i | ||||
\(584\) | − | 189.998i | − | 0.325340i | ||||||
\(585\) | −945.155 | + | 221.145i | −1.61565 | + | 0.378026i | ||||
\(586\) | −841.024 | − | 611.040i | −1.43519 | − | 1.04273i | ||||
\(587\) | −107.287 | − | 147.667i | −0.182771 | − | 0.251563i | 0.707794 | − | 0.706419i | \(-0.249691\pi\) |
−0.890565 | + | 0.454856i | \(0.849691\pi\) | |||||||
\(588\) | −597.620 | − | 222.437i | −1.01636 | − | 0.378294i | ||||
\(589\) | −132.934 | + | 409.128i | −0.225694 | + | 0.694615i | ||||
\(590\) | −519.809 | − | 715.456i | −0.881033 | − | 1.21264i | ||||
\(591\) | −136.657 | − | 108.373i | −0.231230 | − | 0.183372i | ||||
\(592\) | −103.360 | − | 318.109i | −0.174595 | − | 0.537347i | ||||
\(593\) | 685.071i | 1.15526i | 0.816297 | + | 0.577632i | \(0.196023\pi\) | ||||
−0.816297 | + | 0.577632i | \(0.803977\pi\) | |||||||
\(594\) | 887.168 | + | 197.544i | 1.49355 | + | 0.332566i | ||||
\(595\) | −16.3837 | −0.0275357 | ||||||||
\(596\) | −1325.11 | + | 430.556i | −2.22335 | + | 0.722409i | ||||
\(597\) | 233.101 | − | 293.936i | 0.390453 | − | 0.492356i | ||||
\(598\) | 1098.87 | − | 798.373i | 1.83757 | − | 1.33507i | ||||
\(599\) | 343.213 | + | 111.517i | 0.572977 | + | 0.186171i | 0.581152 | − | 0.813795i | \(-0.302602\pi\) |
−0.00817505 | + | 0.999967i | \(0.502602\pi\) | |||||||
\(600\) | −83.4186 | + | 224.120i | −0.139031 | + | 0.373534i | ||||
\(601\) | 339.372 | − | 246.568i | 0.564679 | − | 0.410264i | −0.268489 | − | 0.963283i | \(-0.586524\pi\) |
0.833169 | + | 0.553019i | \(0.186524\pi\) | |||||||
\(602\) | 239.186 | − | 329.211i | 0.397318 | − | 0.546862i | ||||
\(603\) | −148.238 | − | 633.556i | −0.245834 | − | 1.05067i | ||||
\(604\) | −472.229 | −0.781836 | ||||||||
\(605\) | −705.245 | − | 384.726i | −1.16569 | − | 0.635910i | ||||
\(606\) | 58.1783 | − | 1379.18i | 0.0960039 | − | 2.27588i | ||||
\(607\) | 311.403 | + | 958.400i | 0.513020 | + | 1.57891i | 0.786856 | + | 0.617137i | \(0.211707\pi\) |
−0.273836 | + | 0.961776i | \(0.588293\pi\) | |||||||
\(608\) | 526.406 | − | 724.536i | 0.865800 | − | 1.19167i | ||||
\(609\) | 28.9565 | − | 19.2274i | 0.0475477 | − | 0.0315721i | ||||
\(610\) | −66.8970 | + | 205.888i | −0.109667 | + | 0.337521i | ||||
\(611\) | −307.297 | − | 99.8468i | −0.502941 | − | 0.163415i | ||||
\(612\) | −20.1342 | − | 33.2861i | −0.0328990 | − | 0.0543891i | ||||
\(613\) | 446.778 | + | 324.603i | 0.728838 | + | 0.529532i | 0.889196 | − | 0.457527i | \(-0.151265\pi\) |
−0.160358 | + | 0.987059i | \(0.551265\pi\) | |||||||
\(614\) | −1152.92 | + | 374.608i | −1.87773 | + | 0.610110i | ||||
\(615\) | 11.2258 | − | 266.119i | 0.0182533 | − | 0.432714i | ||||
\(616\) | 13.0184 | − | 140.156i | 0.0211338 | − | 0.227526i | ||||
\(617\) | 675.556i | 1.09490i | 0.836837 | + | 0.547452i | \(0.184402\pi\) | ||||
−0.836837 | + | 0.547452i | \(0.815598\pi\) | |||||||
\(618\) | 369.401 | + | 1324.43i | 0.597736 | + | 2.14309i | ||||
\(619\) | 217.722 | + | 158.184i | 0.351732 | + | 0.255548i | 0.749595 | − | 0.661896i | \(-0.230248\pi\) |
−0.397863 | + | 0.917445i | \(0.630248\pi\) | |||||||
\(620\) | 435.082 | + | 598.838i | 0.701744 | + | 0.965868i | ||||
\(621\) | 314.641 | − | 667.240i | 0.506668 | − | 1.07446i | ||||
\(622\) | 82.3072 | − | 253.316i | 0.132327 | − | 0.407260i | ||||
\(623\) | −33.3805 | − | 45.9443i | −0.0535802 | − | 0.0737469i | ||||
\(624\) | 262.712 | − | 331.276i | 0.421012 | − | 0.530891i | ||||
\(625\) | −228.038 | − | 701.828i | −0.364860 | − | 1.12292i | ||||
\(626\) | 1832.83i | 2.92784i | ||||||||
\(627\) | 672.197 | − | 121.890i | 1.07208 | − | 0.194402i | ||||
\(628\) | 41.0719 | 0.0654011 | ||||||||
\(629\) | −29.5404 | + | 9.59826i | −0.0469641 | + | 0.0152596i | ||||
\(630\) | 423.797 | + | 366.212i | 0.672694 | + | 0.581288i | ||||
\(631\) | −75.5208 | + | 54.8691i | −0.119684 | + | 0.0869558i | −0.646017 | − | 0.763323i | \(-0.723567\pi\) |
0.526333 | + | 0.850279i | \(0.323567\pi\) | |||||||
\(632\) | −390.342 | − | 126.830i | −0.617630 | − | 0.200680i | ||||
\(633\) | 136.059 | + | 50.6418i | 0.214943 | + | 0.0800028i | ||||
\(634\) | −6.07783 | + | 4.41580i | −0.00958649 | + | 0.00696499i | ||||
\(635\) | 572.322 | − | 787.734i | 0.901295 | − | 1.24053i | ||||
\(636\) | −76.4322 | − | 274.035i | −0.120176 | − | 0.430873i | ||||
\(637\) | −643.584 | −1.01034 | ||||||||
\(638\) | −95.6529 | − | 84.0530i | −0.149926 | − | 0.131744i | ||||
\(639\) | −1.94785 | + | 23.0469i | −0.00304828 | + | 0.0360672i | ||||
\(640\) | −258.308 | − | 794.990i | −0.403606 | − | 1.24217i | ||||
\(641\) | 8.68174 | − | 11.9494i | 0.0135441 | − | 0.0186418i | −0.802191 | − | 0.597067i | \(-0.796333\pi\) |
0.815735 | + | 0.578425i | \(0.196333\pi\) | |||||||
\(642\) | 105.386 | + | 158.712i | 0.164153 | + | 0.247215i | ||||
\(643\) | −134.744 | + | 414.698i | −0.209555 | + | 0.644943i | 0.789941 | + | 0.613183i | \(0.210111\pi\) |
−0.999496 | + | 0.0317599i | \(0.989889\pi\) | |||||||
\(644\) | −427.023 | − | 138.748i | −0.663079 | − | 0.215448i | ||||
\(645\) | 720.348 | − | 478.317i | 1.11682 | − | 0.741577i | ||||
\(646\) | −41.2922 | − | 30.0005i | −0.0639198 | − | 0.0464405i | ||||
\(647\) | −298.985 | + | 97.1462i | −0.462110 | + | 0.150149i | −0.530814 | − | 0.847488i | \(-0.678114\pi\) |
0.0687036 | + | 0.997637i | \(0.478114\pi\) | |||||||
\(648\) | −56.7948 | + | 333.596i | −0.0876462 | + | 0.514809i | ||||
\(649\) | 244.390 | + | 411.709i | 0.376564 | + | 0.634375i | ||||
\(650\) | 948.550i | 1.45931i | ||||||||
\(651\) | 183.926 | − | 51.2994i | 0.282528 | − | 0.0788010i | ||||
\(652\) | 1139.59 | + | 827.958i | 1.74783 | + | 1.26987i | ||||
\(653\) | −112.807 | − | 155.266i | −0.172752 | − | 0.237773i | 0.713858 | − | 0.700291i | \(-0.246946\pi\) |
−0.886610 | + | 0.462517i | \(0.846946\pi\) | |||||||
\(654\) | 338.802 | − | 910.258i | 0.518046 | − | 1.39183i | ||||
\(655\) | −306.656 | + | 943.789i | −0.468177 | + | 1.44090i | ||||
\(656\) | 68.1931 | + | 93.8598i | 0.103953 | + | 0.143079i | ||||
\(657\) | −309.700 | − | 267.618i | −0.471386 | − | 0.407334i | ||||
\(658\) | 57.6135 | + | 177.316i | 0.0875586 | + | 0.269478i | ||||
\(659\) | − | 127.678i | − | 0.193745i | −0.995297 | − | 0.0968724i | \(-0.969116\pi\) | ||
0.995297 | − | 0.0968724i | \(-0.0308839\pi\) | |||||||
\(660\) | 510.174 | − | 1059.01i | 0.772990 | − | 1.60457i | ||||
\(661\) | 580.599 | 0.878364 | 0.439182 | − | 0.898398i | \(-0.355268\pi\) | ||||
0.439182 | + | 0.898398i | \(0.355268\pi\) | |||||||
\(662\) | 1071.27 | − | 348.076i | 1.61823 | − | 0.525795i | ||||
\(663\) | −30.7631 | − | 24.3961i | −0.0463998 | − | 0.0367965i | ||||
\(664\) | 107.820 | − | 78.3355i | 0.162379 | − | 0.117975i | ||||
\(665\) | 400.388 | + | 130.094i | 0.602088 | + | 0.195630i | ||||
\(666\) | 978.663 | + | 412.015i | 1.46946 | + | 0.618641i | ||||
\(667\) | −83.6135 | + | 60.7488i | −0.125358 | + | 0.0910776i | ||||
\(668\) | 504.590 | − | 694.508i | 0.755374 | − | 1.03968i | ||||
\(669\) | 611.798 | − | 170.639i | 0.914497 | − | 0.255066i | ||||
\(670\) | −1468.92 | −2.19241 | ||||||||
\(671\) | 46.3713 | − | 107.638i | 0.0691078 | − | 0.160415i | ||||
\(672\) | −397.167 | − | 16.7538i | −0.591023 | − | 0.0249313i | ||||
\(673\) | −168.866 | − | 519.715i | −0.250915 | − | 0.772236i | −0.994607 | − | 0.103714i | \(-0.966927\pi\) |
0.743692 | − | 0.668522i | \(-0.233073\pi\) | |||||||
\(674\) | −1064.66 | + | 1465.37i | −1.57961 | + | 2.17415i | ||||
\(675\) | 247.822 | + | 451.654i | 0.367144 | + | 0.669117i | ||||
\(676\) | −157.319 | + | 484.177i | −0.232720 | + | 0.716238i | ||||
\(677\) | −27.7389 | − | 9.01292i | −0.0409733 | − | 0.0133130i | 0.288459 | − | 0.957492i | \(-0.406857\pi\) |
−0.329432 | + | 0.944179i | \(0.606857\pi\) | |||||||
\(678\) | −674.266 | − | 1015.45i | −0.994492 | − | 1.49771i | ||||
\(679\) | −156.862 | − | 113.967i | −0.231019 | − | 0.167845i | ||||
\(680\) | −21.2528 | + | 6.90545i | −0.0312541 | + | 0.0101551i | ||||
\(681\) | −363.832 | − | 15.3476i | −0.534261 | − | 0.0225369i | ||||
\(682\) | −357.061 | − | 601.520i | −0.523550 | − | 0.881994i | ||||
\(683\) | 82.4506i | 0.120718i | 0.998177 | + | 0.0603592i | \(0.0192246\pi\) | ||||
−0.998177 | + | 0.0603592i | \(0.980775\pi\) | |||||||
\(684\) | 227.737 | + | 973.328i | 0.332949 | + | 1.42299i | ||||
\(685\) | −817.553 | − | 593.987i | −1.19351 | − | 0.867134i | ||||
\(686\) | 488.251 | + | 672.019i | 0.711735 | + | 0.979620i | ||||
\(687\) | −907.976 | − | 337.953i | −1.32165 | − | 0.491926i | ||||
\(688\) | −116.386 | + | 358.200i | −0.169166 | + | 0.520640i | ||||
\(689\) | −168.772 | − | 232.294i | −0.244952 | − | 0.337147i | ||||
\(690\) | −1304.89 | − | 1034.82i | −1.89115 | − | 1.49974i | ||||
\(691\) | 299.041 | + | 920.352i | 0.432765 | + | 1.33191i | 0.895360 | + | 0.445344i | \(0.146918\pi\) |
−0.462595 | + | 0.886570i | \(0.653082\pi\) | |||||||
\(692\) | − | 888.061i | − | 1.28333i | ||||||
\(693\) | −210.120 | − | 218.634i | −0.303203 | − | 0.315490i | ||||
\(694\) | −901.554 | −1.29907 | ||||||||
\(695\) | 706.172 | − | 229.449i | 1.01607 | − | 0.330143i | ||||
\(696\) | 29.4581 | − | 37.1463i | 0.0423249 | − | 0.0533711i | ||||
\(697\) | 8.71606 | − | 6.33259i | 0.0125051 | − | 0.00908549i | ||||
\(698\) | −1199.14 | − | 389.624i | −1.71796 | − | 0.558201i | ||||
\(699\) | 421.112 | − | 1131.40i | 0.602449 | − | 1.61860i | ||||
\(700\) | 253.674 | − | 184.305i | 0.362392 | − | 0.263293i | ||||
\(701\) | −184.624 | + | 254.112i | −0.263372 | + | 0.362500i | −0.920138 | − | 0.391594i | \(-0.871924\pi\) |
0.656766 | + | 0.754094i | \(0.271924\pi\) | |||||||
\(702\) | 250.442 | + | 1318.67i | 0.356755 | + | 1.87845i | ||||
\(703\) | 798.129 | 1.13532 | ||||||||
\(704\) | 236.113 | + | 1048.29i | 0.335388 | + | 1.48904i | ||||
\(705\) | −16.6971 | + | 395.822i | −0.0236838 | + | 0.561450i | ||||
\(706\) | 128.211 | + | 394.592i | 0.181602 | + | 0.558912i | ||||
\(707\) | −270.702 | + | 372.589i | −0.382888 | + | 0.527000i | ||||
\(708\) | −583.619 | + | 387.528i | −0.824321 | + | 0.547356i | ||||
\(709\) | 101.157 | − | 311.330i | 0.142676 | − | 0.439111i | −0.854029 | − | 0.520226i | \(-0.825848\pi\) |
0.996705 | + | 0.0811142i | \(0.0258478\pi\) | |||||||
\(710\) | 49.6596 | + | 16.1354i | 0.0699432 | + | 0.0227259i | ||||
\(711\) | −756.544 | + | 457.620i | −1.06406 | + | 0.643629i | ||||
\(712\) | −62.6656 | − | 45.5292i | −0.0880134 | − | 0.0639455i | ||||
\(713\) | −539.971 | + | 175.447i | −0.757323 | + | 0.246069i | ||||
\(714\) | −0.954820 | + | 22.6351i | −0.00133728 | + | 0.0317018i | ||||
\(715\) | 109.725 | − | 1181.30i | 0.153462 | − | 1.65217i | ||||
\(716\) | 314.061i | 0.438632i | ||||||||
\(717\) | −0.259076 | − | 0.928877i | −0.000361334 | − | 0.00129550i | ||||
\(718\) | 690.192 | + | 501.454i | 0.961270 | + | 0.698404i | ||||
\(719\) | −650.211 | − | 894.939i | −0.904327 | − | 1.24470i | −0.969067 | − | 0.246797i | \(-0.920622\pi\) |
0.0647402 | − | 0.997902i | \(-0.479378\pi\) | |||||||
\(720\) | −477.792 | − | 201.149i | −0.663600 | − | 0.279374i | ||||
\(721\) | 141.757 | − | 436.282i | 0.196611 | − | 0.605107i | ||||
\(722\) | 121.532 | + | 167.275i | 0.168327 | + | 0.231682i | ||||
\(723\) | −542.073 | + | 683.546i | −0.749755 | + | 0.945431i | ||||
\(724\) | −471.975 | − | 1452.59i | −0.651899 | − | 2.00634i | ||||
\(725\) | − | 72.1759i | − | 0.0995530i | ||||||
\(726\) | −572.622 | + | 951.915i | −0.788735 | + | 1.31118i | ||||
\(727\) | 577.040 | 0.793727 | 0.396864 | − | 0.917878i | \(-0.370099\pi\) | ||||
0.396864 | + | 0.917878i | \(0.370099\pi\) | |||||||
\(728\) | 197.698 | − | 64.2359i | 0.271563 | − | 0.0882361i | ||||
\(729\) | 463.770 | + | 562.457i | 0.636173 | + | 0.771546i | ||||
\(730\) | −747.563 | + | 543.136i | −1.02406 | + | 0.744023i | ||||
\(731\) | 33.2634 | + | 10.8079i | 0.0455040 | + | 0.0147851i | ||||
\(732\) | 160.721 | + | 59.8211i | 0.219564 | + | 0.0817229i | ||||
\(733\) | −501.026 | + | 364.016i | −0.683527 | + | 0.496612i | −0.874526 | − | 0.484979i | \(-0.838827\pi\) |
0.190999 | + | 0.981590i | \(0.438827\pi\) | |||||||
\(734\) | 317.281 | − | 436.700i | 0.432263 | − | 0.594959i | ||||
\(735\) | 212.003 | + | 760.102i | 0.288439 | + | 1.03415i | ||||
\(736\) | 1181.99 | 1.60596 | ||||||||
\(737\) | 791.851 | + | 73.5511i | 1.07442 | + | 0.0997980i | ||||
\(738\) | −367.005 | − | 31.0181i | −0.497297 | − | 0.0420299i | ||||
\(739\) | −345.884 | − | 1064.52i | −0.468044 | − | 1.44049i | −0.855114 | − | 0.518440i | \(-0.826513\pi\) |
0.387070 | − | 0.922050i | \(-0.373487\pi\) | |||||||
\(740\) | 807.217 | − | 1111.04i | 1.09083 | − | 1.50140i | ||||
\(741\) | 558.079 | + | 840.469i | 0.753142 | + | 1.13424i | ||||
\(742\) | −51.1981 | + | 157.572i | −0.0690002 | + | 0.212361i | ||||
\(743\) | −1092.36 | − | 354.930i | −1.47020 | − | 0.477698i | −0.539034 | − | 0.842284i | \(-0.681210\pi\) |
−0.931170 | + | 0.364586i | \(0.881210\pi\) | |||||||
\(744\) | 216.965 | − | 144.067i | 0.291620 | − | 0.193638i | ||||
\(745\) | 1394.91 | + | 1013.46i | 1.87236 | + | 1.36035i | ||||
\(746\) | 474.724 | − | 154.247i | 0.636360 | − | 0.206766i | ||||
\(747\) | 24.1791 | − | 286.086i | 0.0323682 | − | 0.382979i | ||||
\(748\) | 46.3847 | − | 10.4475i | 0.0620116 | − | 0.0139673i | ||||
\(749\) | − | 63.5613i | − | 0.0848616i | ||||||
\(750\) | −347.546 | + | 96.9352i | −0.463394 | + | 0.129247i | ||||
\(751\) | 221.394 | + | 160.852i | 0.294799 | + | 0.214184i | 0.725346 | − | 0.688384i | \(-0.241680\pi\) |
−0.430548 | + | 0.902568i | \(0.641680\pi\) | |||||||
\(752\) | −101.430 | − | 139.606i | −0.134880 | − | 0.185646i | ||||
\(753\) | 117.856 | − | 316.642i | 0.156515 | − | 0.420508i | ||||
\(754\) | 58.1099 | − | 178.844i | 0.0770689 | − | 0.237194i | ||||
\(755\) | 343.489 | + | 472.772i | 0.454952 | + | 0.626188i | ||||
\(756\) | 303.996 | − | 323.197i | 0.402111 | − | 0.427510i | ||||
\(757\) | −172.433 | − | 530.695i | −0.227785 | − | 0.701051i | −0.997997 | − | 0.0632624i | \(-0.979850\pi\) |
0.770212 | − | 0.637788i | \(-0.220150\pi\) | |||||||
\(758\) | − | 162.899i | − | 0.214906i | ||||||
\(759\) | 651.614 | + | 623.179i | 0.858517 | + | 0.821053i | ||||
\(760\) | 574.212 | 0.755543 | ||||||||
\(761\) | −401.113 | + | 130.329i | −0.527086 | + | 0.171261i | −0.560459 | − | 0.828182i | \(-0.689375\pi\) |
0.0333725 | + | 0.999443i | \(0.489375\pi\) | |||||||
\(762\) | −1054.95 | − | 836.604i | −1.38444 | − | 1.09791i | ||||
\(763\) | −262.156 | + | 190.468i | −0.343586 | + | 0.249630i | ||||
\(764\) | 701.310 | + | 227.870i | 0.917945 | + | 0.298259i | ||||
\(765\) | −18.6792 | + | 44.3689i | −0.0244173 | + | 0.0579986i | ||||
\(766\) | 221.993 | − | 161.287i | 0.289808 | − | 0.210558i | ||||
\(767\) | −415.598 | + | 572.021i | −0.541848 | + | 0.745790i | ||||
\(768\) | 15.7602 | − | 4.39573i | 0.0205211 | − | 0.00572360i | ||||
\(769\) | −108.997 | −0.141738 | −0.0708692 | − | 0.997486i | \(-0.522577\pi\) | ||||
−0.0708692 | + | 0.997486i | \(0.522577\pi\) | |||||||
\(770\) | −588.670 | + | 349.433i | −0.764506 | + | 0.453810i | ||||
\(771\) | −589.181 | − | 24.8536i | −0.764178 | − | 0.0322355i | ||||
\(772\) | −494.218 | − | 1521.05i | −0.640179 | − | 1.97027i | ||||
\(773\) | 606.367 | − | 834.592i | 0.784433 | − | 1.07968i | −0.210346 | − | 0.977627i | \(-0.567459\pi\) |
0.994779 | − | 0.102053i | \(-0.0325410\pi\) | |||||||
\(774\) | −618.842 | − | 1023.08i | −0.799537 | − | 1.32181i | ||||
\(775\) | 122.524 | − | 377.089i | 0.158095 | − | 0.486567i | ||||
\(776\) | −251.515 | − | 81.7222i | −0.324117 | − | 0.105312i | ||||
\(777\) | −195.968 | − | 295.129i | −0.252212 | − | 0.379832i | ||||
\(778\) | 667.478 | + | 484.951i | 0.857941 | + | 0.623331i | ||||
\(779\) | −263.288 | + | 85.5475i | −0.337982 | + | 0.109817i | ||||
\(780\) | 1734.41 | + | 73.1631i | 2.22360 | + | 0.0937988i | ||||
\(781\) | −25.9621 | − | 11.1847i | −0.0332422 | − | 0.0143209i | ||||
\(782\) | − | 67.3630i | − | 0.0861420i | ||||||
\(783\) | −19.0563 | − | 100.339i | −0.0243376 | − | 0.128147i | ||||
\(784\) | −278.072 | − | 202.031i | −0.354683 | − | 0.257692i | ||||
\(785\) | −29.8748 | − | 41.1191i | −0.0380570 | − | 0.0523810i | ||||
\(786\) | 1286.03 | + | 478.665i | 1.63617 | + | 0.608989i | ||||
\(787\) | 64.0985 | − | 197.275i | 0.0814467 | − | 0.250667i | −0.902039 | − | 0.431655i | \(-0.857930\pi\) |
0.983485 | + | 0.180988i | \(0.0579296\pi\) | |||||||
\(788\) | 183.340 | + | 252.346i | 0.232665 | + | 0.320236i | ||||
\(789\) | 889.286 | + | 705.231i | 1.12710 | + | 0.893829i | ||||
\(790\) | 616.825 | + | 1898.39i | 0.780791 | + | 2.40303i | ||||
\(791\) | 406.668i | 0.514119i | ||||||||
\(792\) | −364.716 | − | 195.048i | −0.460500 | − | 0.246273i | ||||
\(793\) | 173.082 | 0.218263 | ||||||||
\(794\) | 615.536 | − | 200.000i | 0.775234 | − | 0.251889i | ||||
\(795\) | −218.755 | + | 275.847i | −0.275164 | + | 0.346978i | ||||
\(796\) | −542.774 | + | 394.349i | −0.681877 | + | 0.495413i | ||||
\(797\) | 211.514 | + | 68.7252i | 0.265388 | + | 0.0862298i | 0.438689 | − | 0.898639i | \(-0.355443\pi\) |
−0.173300 | + | 0.984869i | \(0.555443\pi\) | |||||||
\(798\) | 203.067 | − | 545.578i | 0.254469 | − | 0.683682i | ||||
\(799\) | −12.9641 | + | 9.41900i | −0.0162255 | + | 0.0117885i | ||||
\(800\) | −485.183 | + | 667.797i | −0.606479 | + | 0.834746i | ||||
\(801\) | −162.480 | + | 38.0166i | −0.202846 | + | 0.0474614i | ||||
\(802\) | 1376.50 | 1.71633 | ||||||||
\(803\) | 430.185 | − | 255.357i | 0.535723 | − | 0.318004i | ||||
\(804\) | −49.0426 | + | 1162.61i | −0.0609983 | + | 1.44603i | ||||
\(805\) | 171.699 | + | 528.436i | 0.213291 | + | 0.656443i | ||||
\(806\) | 607.201 | − | 835.740i | 0.753351 | − | 1.03690i | ||||
\(807\) | 502.727 | − | 333.815i | 0.622958 | − | 0.413649i | ||||
\(808\) | −194.112 | + | 597.415i | −0.240237 | + | 0.739375i | ||||
\(809\) | 715.778 | + | 232.570i | 0.884769 | + | 0.287479i | 0.715936 | − | 0.698166i | \(-0.246000\pi\) |
0.168833 | + | 0.985645i | \(0.446000\pi\) | |||||||
\(810\) | 1474.92 | − | 730.168i | 1.82088 | − | 0.901442i | ||||
\(811\) | −187.891 | − | 136.511i | −0.231678 | − | 0.168324i | 0.465890 | − | 0.884843i | \(-0.345734\pi\) |
−0.697568 | + | 0.716519i | \(0.745734\pi\) | |||||||
\(812\) | −59.1197 | + | 19.2092i | −0.0728076 | + | 0.0236566i | ||||
\(813\) | 10.1421 | − | 240.430i | 0.0124749 | − | 0.295732i | ||||
\(814\) | −856.679 | + | 974.908i | −1.05243 | + | 1.19768i | ||||
\(815\) | − | 1743.13i | − | 2.13881i | ||||||
\(816\) | −5.63343 | − | 20.1978i | −0.00690372 | − | 0.0247522i | ||||
\(817\) | −727.077 | − | 528.252i | −0.889935 | − | 0.646576i | ||||
\(818\) | −277.540 | − | 382.001i | −0.339291 | − | 0.466994i | ||||
\(819\) | 173.758 | − | 412.728i | 0.212158 | − | 0.503942i | ||||
\(820\) | −147.199 | + | 453.033i | −0.179511 | + | 0.552480i | ||||
\(821\) | −285.054 | − | 392.343i | −0.347204 | − | 0.477885i | 0.599324 | − | 0.800506i | \(-0.295436\pi\) |
−0.946528 | + | 0.322621i | \(0.895436\pi\) | |||||||
\(822\) | −868.273 | + | 1094.88i | −1.05629 | + | 1.33197i | ||||
\(823\) | 48.4819 | + | 149.212i | 0.0589088 | + | 0.181302i | 0.976181 | − | 0.216959i | \(-0.0696137\pi\) |
−0.917272 | + | 0.398261i | \(0.869614\pi\) | |||||||
\(824\) | − | 625.689i | − | 0.759331i | ||||||
\(825\) | −619.557 | + | 112.345i | −0.750978 | + | 0.136175i | ||||
\(826\) | 407.986 | 0.493930 | ||||||||
\(827\) | −150.007 | + | 48.7401i | −0.181386 | + | 0.0589360i | −0.398302 | − | 0.917254i | \(-0.630400\pi\) |
0.216916 | + | 0.976190i | \(0.430400\pi\) | |||||||
\(828\) | −862.598 | + | 998.238i | −1.04179 | + | 1.20560i | ||||
\(829\) | −1057.08 | + | 768.011i | −1.27512 | + | 0.926431i | −0.999394 | − | 0.0348051i | \(-0.988919\pi\) |
−0.275728 | + | 0.961236i | \(0.588919\pi\) | |||||||
\(830\) | −616.434 | − | 200.292i | −0.742692 | − | 0.241315i | ||||
\(831\) | −615.493 | − | 229.089i | −0.740665 | − | 0.275679i | ||||
\(832\) | −1283.81 | + | 932.745i | −1.54304 | + | 1.12109i | ||||
\(833\) | −18.7611 | + | 25.8224i | −0.0225223 | + | 0.0309993i | ||||
\(834\) | −275.842 | − | 988.989i | −0.330746 | − | 1.18584i | ||||
\(835\) | −1062.33 | −1.27226 | ||||||||
\(836\) | −1216.52 | − | 112.996i | −1.45516 | − | 0.135163i | ||||
\(837\) | 70.7709 | − | 556.579i | 0.0845530 | − | 0.664969i | ||||
\(838\) | −714.482 | − | 2198.95i | −0.852604 | − | 2.62405i | ||||
\(839\) | −754.318 | + | 1038.23i | −0.899068 | + | 1.23746i | 0.0716959 | + | 0.997427i | \(0.477159\pi\) |
−0.970764 | + | 0.240035i | \(0.922841\pi\) | |||||||
\(840\) | −140.989 | − | 212.330i | −0.167844 | − | 0.252774i | ||||
\(841\) | 255.462 | − | 786.230i | 0.303759 | − | 0.934875i | ||||
\(842\) | 1271.56 | + | 413.154i | 1.51016 | + | 0.490682i | ||||
\(843\) | −1240.70 | + | 823.837i | −1.47177 | + | 0.977268i | ||||
\(844\) | −210.049 | − | 152.609i | −0.248873 | − | 0.180817i | ||||
\(845\) | 599.164 | − | 194.680i | 0.709069 | − | 0.230391i | ||||
\(846\) | 545.878 | + | 46.1359i | 0.645246 | + | 0.0545342i | ||||
\(847\) | 334.831 | − | 158.894i | 0.395315 | − | 0.187596i | ||||
\(848\) | − | 153.347i | − | 0.180834i | ||||||
\(849\) | −889.167 | + | 248.001i | −1.04731 | + | 0.292109i | ||||
\(850\) | 38.0586 | + | 27.6512i | 0.0447748 | + | 0.0325308i | ||||
\(851\) | 619.160 | + | 852.200i | 0.727567 | + | 1.00141i | ||||
\(852\) | 14.4287 | − | 38.7656i | 0.0169351 | − | 0.0454995i | ||||
\(853\) | 153.468 | − | 472.325i | 0.179915 | − | 0.553723i | −0.819908 | − | 0.572495i | \(-0.805976\pi\) |
0.999824 | + | 0.0187721i | \(0.00597570\pi\) | |||||||
\(854\) | −58.7033 | − | 80.7982i | −0.0687392 | − | 0.0946114i | ||||
\(855\) | 808.796 | − | 935.975i | 0.945960 | − | 1.09471i | ||||
\(856\) | −26.7900 | − | 82.4511i | −0.0312967 | − | 0.0963214i | ||||
\(857\) | − | 479.970i | − | 0.560059i | −0.959991 | − | 0.280029i | \(-0.909656\pi\) | ||
0.959991 | − | 0.280029i | \(-0.0903442\pi\) | |||||||
\(858\) | −1625.64 | − | 220.437i | −1.89469 | − | 0.256919i | ||||
\(859\) | 658.810 | 0.766950 | 0.383475 | − | 0.923551i | \(-0.374727\pi\) | ||||
0.383475 | + | 0.923551i | \(0.374727\pi\) | |||||||
\(860\) | −1470.71 | + | 477.864i | −1.71013 | + | 0.555655i | ||||
\(861\) | 96.2798 | + | 76.3528i | 0.111823 | + | 0.0886793i | ||||
\(862\) | 24.0996 | − | 17.5094i | 0.0279578 | − | 0.0203125i | ||||
\(863\) | 512.443 | + | 166.503i | 0.593793 | + | 0.192935i | 0.590470 | − | 0.807060i | \(-0.298942\pi\) |
0.00332255 | + | 0.999994i | \(0.498942\pi\) | |||||||
\(864\) | −498.185 | + | 1056.47i | −0.576603 | + | 1.22277i | ||||
\(865\) | −889.082 | + | 645.956i | −1.02784 | + | 0.746770i | ||||
\(866\) | 106.622 | − | 146.752i | 0.123120 | − | 0.169460i | ||||
\(867\) | 833.249 | − | 232.405i | 0.961072 | − | 0.268056i | ||||
\(868\) | −341.485 | −0.393416 | ||||||||
\(869\) | −237.457 | − | 1054.25i | −0.273253 | − | 1.21318i | ||||
\(870\) | −230.365 | − | 9.71754i | −0.264787 | − | 0.0111696i | ||||
\(871\) | 362.918 | + | 1116.95i | 0.416669 | + | 1.28237i | ||||
\(872\) | −259.788 | + | 357.567i | −0.297922 | + | 0.410054i | ||||
\(873\) | −487.475 | + | 294.865i | −0.558391 | + | 0.337761i | ||||
\(874\) | −534.893 | + | 1646.23i | −0.612005 | + | 1.88356i | ||||
\(875\) | 114.486 | + | 37.1986i | 0.130841 | + | 0.0425127i | ||||
\(876\) | 404.919 | + | 609.810i | 0.462237 | + | 0.696130i | ||||
\(877\) | −68.5357 | − | 49.7941i | −0.0781479 | − | 0.0567777i | 0.548025 | − | 0.836462i | \(-0.315380\pi\) |
−0.626173 | + | 0.779684i | \(0.715380\pi\) | |||||||
\(878\) | 1294.36 | − | 420.562i | 1.47421 | − | 0.479001i | ||||
\(879\) | 1018.19 | + | 42.9505i | 1.15835 | + | 0.0488629i | ||||
\(880\) | 418.238 | − | 475.959i | 0.475271 | − | 0.540862i | ||||
\(881\) | − | 364.734i | − | 0.414000i | −0.978341 | − | 0.207000i | \(-0.933630\pi\) | ||
0.978341 | − | 0.207000i | \(-0.0663701\pi\) | |||||||
\(882\) | 1062.48 | − | 248.596i | 1.20463 | − | 0.281855i | ||||
\(883\) | −180.241 | − | 130.953i | −0.204123 | − | 0.148304i | 0.481027 | − | 0.876706i | \(-0.340264\pi\) |
−0.685151 | + | 0.728401i | \(0.740264\pi\) | |||||||
\(884\) | 41.2721 | + | 56.8062i | 0.0466879 | + | 0.0642604i | ||||
\(885\) | 812.485 | + | 302.411i | 0.918063 | + | 0.341707i | ||||
\(886\) | 506.266 | − | 1558.13i | 0.571406 | − | 1.75861i | ||||
\(887\) | 801.425 | + | 1103.07i | 0.903523 | + | 1.24359i | 0.969331 | + | 0.245761i | \(0.0790377\pi\) |
−0.0658073 | + | 0.997832i | \(0.520962\pi\) | |||||||
\(888\) | −378.600 | − | 300.241i | −0.426351 | − | 0.338110i | ||||
\(889\) | 138.811 | + | 427.217i | 0.156143 | + | 0.480559i | ||||
\(890\) | 376.714i | 0.423274i | ||||||||
\(891\) | −831.645 | + | 319.761i | −0.933384 | + | 0.358879i | ||||
\(892\) | −1135.89 | −1.27342 | ||||||||
\(893\) | 391.611 | − | 127.242i | 0.438534 | − | 0.142488i | ||||
\(894\) | 1481.45 | − | 1868.08i | 1.65710 | − | 2.08958i | ||||
\(895\) | 314.422 | − | 228.441i | 0.351309 | − | 0.255241i | ||||
\(896\) | 366.760 | + | 119.167i | 0.409330 | + | 0.132999i | ||||
\(897\) | −464.471 | + | 1247.89i | −0.517805 | + | 1.39118i | ||||
\(898\) | 1904.91 | − | 1384.00i | 2.12129 | − | 1.54120i | ||||
\(899\) | −46.2024 | + | 63.5921i | −0.0513931 | + | 0.0707365i | ||||
\(900\) | −209.903 | − | 897.106i | −0.233225 | − | 0.996784i | ||||
\(901\) | −14.2402 | −0.0158049 | ||||||||
\(902\) | 178.107 | − | 413.428i | 0.197458 | − | 0.458345i | ||||
\(903\) | −16.8126 | + | 398.560i | −0.0186186 | + | 0.441373i | ||||
\(904\) | 171.404 | + | 527.526i | 0.189606 | + | 0.583546i | ||||
\(905\) | −1110.95 | + | 1529.10i | −1.22757 | + | 1.68961i | ||||
\(906\) | 673.179 | − | 446.997i | 0.743024 | − | 0.493374i | ||||
\(907\) | 203.099 | − | 625.073i | 0.223924 | − | 0.689166i | −0.774476 | − | 0.632604i | \(-0.781986\pi\) |
0.998399 | − | 0.0565619i | \(-0.0180138\pi\) | |||||||
\(908\) | 619.376 | + | 201.248i | 0.682132 | + | 0.221638i | ||||
\(909\) | 700.383 | + | 1157.88i | 0.770498 | + | 1.27380i | ||||
\(910\) | −817.887 | − | 594.230i | −0.898777 | − | 0.653000i | ||||
\(911\) | 331.388 | − | 107.674i | 0.363763 | − | 0.118194i | −0.121432 | − | 0.992600i | \(-0.538749\pi\) |
0.485195 | + | 0.874406i | \(0.338749\pi\) | |||||||
\(912\) | −22.7085 | + | 538.329i | −0.0248996 | + | 0.590273i | ||||
\(913\) | 322.273 | + | 138.837i | 0.352982 | + | 0.152067i | ||||
\(914\) | − | 519.188i | − | 0.568039i | ||||||
\(915\) | −57.0151 | − | 204.418i | −0.0623116 | − | 0.223408i | ||||
\(916\) | 1401.74 | + | 1018.42i | 1.53028 | + | 1.11182i | ||||
\(917\) | −269.096 | − | 370.379i | −0.293453 | − | 0.403903i | ||||
\(918\) | 60.2096 | + | 28.3922i | 0.0655879 | + | 0.0309283i | ||||
\(919\) | 197.588 | − | 608.115i | 0.215004 | − | 0.661714i | −0.784150 | − | 0.620572i | \(-0.786901\pi\) |
0.999153 | − | 0.0411417i | \(-0.0130995\pi\) | |||||||
\(920\) | 445.453 | + | 613.114i | 0.484188 | + | 0.666428i | ||||
\(921\) | 738.416 | − | 931.131i | 0.801754 | − | 1.01100i | ||||
\(922\) | 251.884 | + | 775.220i | 0.273193 | + | 0.840803i | ||||
\(923\) | − | 41.7471i | − | 0.0452298i | ||||||
\(924\) | 256.913 | + | 477.583i | 0.278045 | + | 0.516865i | ||||
\(925\) | −735.627 | −0.795272 | ||||||||
\(926\) | −2051.44 | + | 666.554i | −2.21538 | + | 0.719821i | ||||
\(927\) | −1019.88 | − | 881.301i | −1.10020 | − | 0.950703i | ||||
\(928\) | 132.389 | − | 96.1863i | 0.142661 | − | 0.103649i | ||||
\(929\) | −299.056 | − | 97.1692i | −0.321912 | − | 0.104595i | 0.143604 | − | 0.989635i | \(-0.454131\pi\) |
−0.465515 | + | 0.885040i | \(0.654131\pi\) | |||||||
\(930\) | −1187.07 | − | 441.831i | −1.27641 | − | 0.475087i | ||||
\(931\) | 663.529 | − | 482.082i | 0.712706 | − | 0.517811i | ||||
\(932\) | −1269.02 | + | 1746.66i | −1.36161 | + | 1.87410i | ||||
\(933\) | 70.1490 | + | 251.508i | 0.0751865 | + | 0.269569i | ||||
\(934\) | −2066.22 | −2.21222 | ||||||||
\(935\) | −44.1987 | − | 38.8387i | −0.0472714 | − | 0.0415387i | ||||
\(936\) | 51.4389 | − | 608.623i | 0.0549561 | − | 0.650238i | ||||
\(937\) | 469.735 | + | 1445.70i | 0.501318 | + | 1.54290i | 0.806874 | + | 0.590724i | \(0.201158\pi\) |
−0.305556 | + | 0.952174i | \(0.598842\pi\) | |||||||
\(938\) | 398.324 | − | 548.245i | 0.424652 | − | 0.584483i | ||||
\(939\) | −993.897 | − | 1496.81i | −1.05846 | − | 1.59405i | ||||
\(940\) | 218.942 | − | 673.835i | 0.232917 | − | 0.716846i | ||||
\(941\) | −1067.37 | − | 346.811i | −1.13430 | − | 0.368556i | −0.319090 | − | 0.947724i | \(-0.603377\pi\) |
−0.815208 | + | 0.579169i | \(0.803377\pi\) | |||||||
\(942\) | −58.5494 | + | 38.8773i | −0.0621544 | + | 0.0412711i | ||||
\(943\) | −295.593 | − | 214.761i | −0.313460 | − | 0.227742i | ||||
\(944\) | −359.133 | + | 116.689i | −0.380437 | + | 0.123611i | ||||
\(945\) | −544.689 | − | 69.2591i | −0.576390 | − | 0.0732900i | ||||
\(946\) | 1425.67 | − | 321.114i | 1.50705 | − | 0.339444i | ||||
\(947\) | 865.333i | 0.913762i | 0.889528 | + | 0.456881i | \(0.151033\pi\) | ||||
−0.889528 | + | 0.456881i | \(0.848967\pi\) | |||||||
\(948\) | 1523.12 | − | 424.819i | 1.60667 | − | 0.448122i | ||||
\(949\) | 597.691 | + | 434.248i | 0.629812 | + | 0.457585i | ||||
\(950\) | −710.520 | − | 977.947i | −0.747916 | − | 1.02942i | ||||
\(951\) | 2.56899 | − | 6.90210i | 0.00270136 | − | 0.00725773i | ||||
\(952\) | 3.18575 | − | 9.80474i | 0.00334638 | − | 0.0102991i | ||||
\(953\) | 298.122 | + | 410.330i | 0.312825 | + | 0.430567i | 0.936260 | − | 0.351309i | \(-0.114263\pi\) |
−0.623435 | + | 0.781875i | \(0.714263\pi\) | |||||||
\(954\) | 368.350 | + | 318.299i | 0.386111 | + | 0.333647i | ||||
\(955\) | −281.986 | − | 867.863i | −0.295273 | − | 0.908757i | ||||
\(956\) | 1.72460i | 0.00180397i | ||||||||
\(957\) | 123.696 | + | 16.7732i | 0.129254 | + | 0.0175269i | ||||
\(958\) | 2141.59 | 2.23548 | ||||||||
\(959\) | 443.388 | − | 144.066i | 0.462345 | − | 0.150225i | ||||
\(960\) | 1524.52 | + | 1208.99i | 1.58804 | + | 1.25936i | ||||
\(961\) | 428.125 | − | 311.051i | 0.445500 | − | 0.323674i | ||||
\(962\) | −1822.80 | − | 592.265i | −1.89481 | − | 0.615660i | ||||
\(963\) | −172.131 | − | 72.4668i | −0.178745 | − | 0.0752511i | ||||
\(964\) | 1262.22 | − | 917.054i | 1.30935 | − | 0.951301i | ||||
\(965\) | −1163.31 | + | 1601.16i | −1.20550 | + | 1.65924i | ||||
\(966\) | 740.071 | − | 206.416i | 0.766120 | − | 0.213681i | ||||
\(967\) | −569.116 | −0.588537 | −0.294269 | − | 0.955723i | \(-0.595076\pi\) | ||||
−0.294269 | + | 0.955723i | \(0.595076\pi\) | |||||||
\(968\) | 367.369 | − | 347.241i | 0.379513 | − | 0.358720i | ||||
\(969\) | 49.9906 | + | 2.10876i | 0.0515899 | + | 0.00217623i | ||||
\(970\) | 397.448 | + | 1223.22i | 0.409740 | + | 1.26105i | ||||
\(971\) | 736.695 | − | 1013.97i | 0.758697 | − | 1.04426i | −0.238624 | − | 0.971112i | \(-0.576696\pi\) |
0.997321 | − | 0.0731450i | \(-0.0233036\pi\) | |||||||
\(972\) | −528.666 | − | 1191.74i | −0.543895 | − | 1.22607i | ||||
\(973\) | −105.854 | + | 325.784i | −0.108791 | + | 0.334825i | ||||
\(974\) | 1901.55 | + | 617.851i | 1.95231 | + | 0.634344i | ||||
\(975\) | −514.375 | − | 774.651i | −0.527564 | − | 0.794514i | ||||
\(976\) | 74.7833 | + | 54.3333i | 0.0766223 | + | 0.0556693i | ||||
\(977\) | −1085.77 | + | 352.788i | −1.11133 | + | 0.361093i | −0.806453 | − | 0.591298i | \(-0.798616\pi\) |
−0.304878 | + | 0.952391i | \(0.598616\pi\) | |||||||
\(978\) | −2408.24 | − | 101.587i | −2.46241 | − | 0.103873i | ||||
\(979\) | 18.8627 | − | 203.076i | 0.0192673 | − | 0.207432i | ||||
\(980\) | − | 1411.24i | − | 1.44004i | ||||||
\(981\) | 216.921 | + | 927.102i | 0.221122 | + | 0.945059i | ||||
\(982\) | −153.097 | − | 111.231i | −0.155903 | − | 0.113270i | ||||
\(983\) | 391.031 | + | 538.208i | 0.397793 | + | 0.547515i | 0.960188 | − | 0.279353i | \(-0.0901200\pi\) |
−0.562395 | + | 0.826869i | \(0.690120\pi\) | |||||||
\(984\) | 157.075 | + | 58.4639i | 0.159629 | + | 0.0594145i | ||||
\(985\) | 119.279 | − | 367.102i | 0.121095 | − | 0.372692i | ||||
\(986\) | −5.48178 | − | 7.54502i | −0.00555961 | − | 0.00765215i | ||||
\(987\) | −143.205 | − | 113.566i | −0.145091 | − | 0.115062i | ||||
\(988\) | −557.549 | − | 1715.96i | −0.564321 | − | 1.73680i | ||||
\(989\) | − | 1186.13i | − | 1.19933i | ||||||
\(990\) | 275.157 | + | 1992.58i | 0.277937 | + | 2.01270i | ||||
\(991\) | −1471.97 | −1.48534 | −0.742670 | − | 0.669658i | \(-0.766441\pi\) | ||||
−0.742670 | + | 0.669658i | \(0.766441\pi\) | |||||||
\(992\) | 854.961 | − | 277.794i | 0.861856 | − | 0.280034i | ||||
\(993\) | −686.118 | + | 865.185i | −0.690955 | + | 0.871284i | ||||
\(994\) | −19.4883 | + | 14.1591i | −0.0196060 | + | 0.0142446i | ||||
\(995\) | 789.604 | + | 256.558i | 0.793572 | + | 0.257847i | ||||
\(996\) | −179.106 | + | 481.204i | −0.179826 | + | 0.483137i | ||||
\(997\) | −502.232 | + | 364.893i | −0.503743 | + | 0.365991i | −0.810445 | − | 0.585815i | \(-0.800775\pi\) |
0.306702 | + | 0.951806i | \(0.400775\pi\) | |||||||
\(998\) | −593.582 | + | 816.996i | −0.594772 | + | 0.818633i | ||||
\(999\) | −1022.67 | + | 194.225i | −1.02369 | + | 0.194419i |
(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 | 33.3.h.b.5.4 | yes | 16 | |
3.2 | odd | 2 | inner | 33.3.h.b.5.1 | ✓ | 16 | |
11.2 | odd | 10 | 363.3.h.j.251.4 | 16 | |||
11.3 | even | 5 | 363.3.b.m.122.2 | 8 | |||
11.4 | even | 5 | 363.3.h.o.245.4 | 16 | |||
11.5 | even | 5 | 363.3.h.o.323.1 | 16 | |||
11.6 | odd | 10 | 363.3.h.n.323.4 | 16 | |||
11.7 | odd | 10 | 363.3.h.n.245.1 | 16 | |||
11.8 | odd | 10 | 363.3.b.l.122.7 | 8 | |||
11.9 | even | 5 | inner | 33.3.h.b.20.1 | yes | 16 | |
11.10 | odd | 2 | 363.3.h.j.269.1 | 16 | |||
33.2 | even | 10 | 363.3.h.j.251.1 | 16 | |||
33.5 | odd | 10 | 363.3.h.o.323.4 | 16 | |||
33.8 | even | 10 | 363.3.b.l.122.2 | 8 | |||
33.14 | odd | 10 | 363.3.b.m.122.7 | 8 | |||
33.17 | even | 10 | 363.3.h.n.323.1 | 16 | |||
33.20 | odd | 10 | inner | 33.3.h.b.20.4 | yes | 16 | |
33.26 | odd | 10 | 363.3.h.o.245.1 | 16 | |||
33.29 | even | 10 | 363.3.h.n.245.4 | 16 | |||
33.32 | even | 2 | 363.3.h.j.269.4 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.3.h.b.5.1 | ✓ | 16 | 3.2 | odd | 2 | inner | |
33.3.h.b.5.4 | yes | 16 | 1.1 | even | 1 | trivial | |
33.3.h.b.20.1 | yes | 16 | 11.9 | even | 5 | inner | |
33.3.h.b.20.4 | yes | 16 | 33.20 | odd | 10 | inner | |
363.3.b.l.122.2 | 8 | 33.8 | even | 10 | |||
363.3.b.l.122.7 | 8 | 11.8 | odd | 10 | |||
363.3.b.m.122.2 | 8 | 11.3 | even | 5 | |||
363.3.b.m.122.7 | 8 | 33.14 | odd | 10 | |||
363.3.h.j.251.1 | 16 | 33.2 | even | 10 | |||
363.3.h.j.251.4 | 16 | 11.2 | odd | 10 | |||
363.3.h.j.269.1 | 16 | 11.10 | odd | 2 | |||
363.3.h.j.269.4 | 16 | 33.32 | even | 2 | |||
363.3.h.n.245.1 | 16 | 11.7 | odd | 10 | |||
363.3.h.n.245.4 | 16 | 33.29 | even | 10 | |||
363.3.h.n.323.1 | 16 | 33.17 | even | 10 | |||
363.3.h.n.323.4 | 16 | 11.6 | odd | 10 | |||
363.3.h.o.245.1 | 16 | 33.26 | odd | 10 | |||
363.3.h.o.245.4 | 16 | 11.4 | even | 5 | |||
363.3.h.o.323.1 | 16 | 11.5 | even | 5 | |||
363.3.h.o.323.4 | 16 | 33.5 | odd | 10 |