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 | 20.1 | ||
Root | \(-2.91048 - 0.945671i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.20 |
Dual form | 33.3.h.b.5.1 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(-1\) |
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 | \(-0.677293\pi\) |
−0.926612 | + | 0.376020i | \(0.877293\pi\) | |||||||
\(3\) | 1.65950 | + | 2.49921i | 0.553166 | + | 0.833071i | ||||
\(4\) | 4.34051 | + | 3.15356i | 1.08513 | + | 0.788390i | ||||
\(5\) | 6.31437 | − | 2.05166i | 1.26287 | − | 0.410333i | 0.400357 | − | 0.916359i | \(-0.368886\pi\) |
0.862518 | + | 0.506027i | \(0.168886\pi\) | |||||||
\(6\) | −2.46650 | − | 8.84324i | −0.411083 | − | 1.47387i | ||||
\(7\) | 2.47800 | + | 1.80037i | 0.354000 | + | 0.257196i | 0.750545 | − | 0.660819i | \(-0.229791\pi\) |
−0.396545 | + | 0.918015i | \(0.629791\pi\) | |||||||
\(8\) | −2.45561 | − | 3.37986i | −0.306951 | − | 0.422482i | ||||
\(9\) | −3.49213 | + | 8.29488i | −0.388014 | + | 0.921653i | ||||
\(10\) | −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 | −0.549503 | − | 0.835492i | \(-0.685183\pi\) |
0.935647 | − | 0.352938i | \(-0.114817\pi\) | |||||||
\(14\) | −5.50960 | − | 7.58331i | −0.393543 | − | 0.541665i | ||||
\(15\) | 15.6062 | + | 12.3762i | 1.04042 | + | 0.825081i | ||||
\(16\) | −2.68094 | − | 8.25108i | −0.167559 | − | 0.515693i | ||||
\(17\) | −0.766216 | + | 0.248959i | −0.0450715 | + | 0.0146446i | −0.331466 | − | 0.943467i | \(-0.607543\pi\) |
0.286394 | + | 0.958112i | \(0.407543\pi\) | |||||||
\(18\) | 18.0080 | − | 20.8396i | 1.00044 | − | 1.15776i | ||||
\(19\) | −16.7481 | + | 12.1682i | −0.881479 | + | 0.640432i | −0.933642 | − | 0.358207i | \(-0.883388\pi\) |
0.0521636 | + | 0.998639i | \(0.483388\pi\) | |||||||
\(20\) | 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 | \(-0.202438\pi\) | |||||||
\(24\) | 4.37190 | − | 11.7460i | 0.182163 | − | 0.489415i | ||||
\(25\) | 15.4365 | − | 11.2153i | 0.617462 | − | 0.448612i | ||||
\(26\) | −29.2204 | + | 40.2185i | −1.12386 | + | 1.54687i | ||||
\(27\) | −26.5259 | + | 5.03778i | −0.982439 | + | 0.186585i | ||||
\(28\) | 5.07819 | + | 15.6291i | 0.181364 | + | 0.558180i | ||||
\(29\) | 2.22341 | − | 3.06025i | 0.0766691 | − | 0.105526i | −0.768960 | − | 0.639297i | \(-0.779226\pi\) |
0.845629 | + | 0.533771i | \(0.179226\pi\) | |||||||
\(30\) | −33.7177 | − | 50.7790i | −1.12392 | − | 1.69263i | ||||
\(31\) | −6.42137 | + | 19.7630i | −0.207141 | + | 0.637515i | 0.792478 | + | 0.609901i | \(0.208791\pi\) |
−0.999619 | + | 0.0276136i | \(0.991209\pi\) | |||||||
\(32\) | 43.2608i | 1.35190i | ||||||||
\(33\) | −20.7188 | − | 25.6852i | −0.627844 | − | 0.778340i | ||||
\(34\) | 2.46549 | 0.0725143 | ||||||||
\(35\) | 19.3408 | + | 6.28420i | 0.552593 | + | 0.179548i | ||||
\(36\) | −41.3160 | + | 24.9913i | −1.14767 | + | 0.694204i | ||||
\(37\) | −31.1905 | − | 22.6613i | −0.842988 | − | 0.612466i | 0.0802160 | − | 0.996778i | \(-0.474439\pi\) |
−0.923204 | + | 0.384311i | \(0.874439\pi\) | |||||||
\(38\) | 60.2520 | − | 19.5771i | 1.58558 | − | 0.515186i | ||||
\(39\) | 46.9423 | − | 13.0928i | 1.20365 | − | 0.335714i | ||||
\(40\) | −22.4400 | − | 16.3036i | −0.560999 | − | 0.407590i | ||||
\(41\) | −7.86024 | − | 10.8187i | −0.191713 | − | 0.263871i | 0.702330 | − | 0.711852i | \(-0.252143\pi\) |
−0.894043 | + | 0.447981i | \(0.852143\pi\) | |||||||
\(42\) | 9.80913 | − | 26.3542i | 0.233551 | − | 0.627480i | ||||
\(43\) | 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 | \(-0.132133\pi\) |
−0.666323 | + | 0.745663i | \(0.732133\pi\) | |||||||
\(48\) | 16.1722 | − | 20.3929i | 0.336921 | − | 0.424852i | ||||
\(49\) | −12.2427 | − | 37.6791i | −0.249851 | − | 0.768962i | ||||
\(50\) | −55.5336 | + | 18.0440i | −1.11067 | + | 0.360880i | ||||
\(51\) | −1.89374 | − | 1.50179i | −0.0371321 | − | 0.0294469i | ||||
\(52\) | 70.5100 | − | 51.2285i | 1.35596 | − | 0.985164i | ||||
\(53\) | 16.8103 | + | 5.46201i | 0.317176 | + | 0.103057i | 0.463279 | − | 0.886213i | \(-0.346673\pi\) |
−0.146102 | + | 0.989269i | \(0.546673\pi\) | |||||||
\(54\) | 81.9669 | + | 10.4224i | 1.51791 | + | 0.193007i | ||||
\(55\) | −67.0731 | + | 28.8955i | −1.21951 | + | 0.525373i | ||||
\(56\) | − | 12.7963i | − | 0.228505i | ||||||
\(57\) | −58.2044 | − | 21.6639i | −1.02113 | − | 0.380069i | ||||
\(58\) | −9.36516 | + | 6.80419i | −0.161468 | + | 0.117314i | ||||
\(59\) | −25.5837 | + | 35.2129i | −0.433621 | + | 0.596828i | −0.968780 | − | 0.247923i | \(-0.920252\pi\) |
0.535158 | + | 0.844752i | \(0.320252\pi\) | |||||||
\(60\) | 28.7098 | + | 102.934i | 0.478496 | + | 1.71557i | ||||
\(61\) | 3.29249 | + | 10.1333i | 0.0539753 | + | 0.166119i | 0.974410 | − | 0.224777i | \(-0.0721653\pi\) |
−0.920435 | + | 0.390896i | \(0.872165\pi\) | |||||||
\(62\) | 37.3785 | − | 51.4471i | 0.602879 | − | 0.829792i | ||||
\(63\) | −23.5874 | + | 14.2676i | −0.374403 | + | 0.226470i | ||||
\(64\) | 30.1867 | − | 92.9052i | 0.471667 | − | 1.45164i | ||||
\(65\) | − | 107.854i | − | 1.65929i | ||||||
\(66\) | 36.0119 | + | 94.3494i | 0.545635 | + | 1.42954i | ||||
\(67\) | 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 | ||||
\(69\) | 68.2845 | − | 45.3415i | 0.989630 | − | 0.657123i | ||||
\(70\) | −50.3481 | − | 36.5800i | −0.719258 | − | 0.522571i | ||||
\(71\) | 2.44412 | − | 0.794142i | 0.0344242 | − | 0.0111851i | −0.291754 | − | 0.956493i | \(-0.594239\pi\) |
0.326178 | + | 0.945308i | \(0.394239\pi\) | |||||||
\(72\) | 36.6108 | − | 8.56611i | 0.508484 | − | 0.118974i | ||||
\(73\) | 36.7931 | + | 26.7318i | 0.504015 | + | 0.366188i | 0.810549 | − | 0.585671i | \(-0.199169\pi\) |
−0.306533 | + | 0.951860i | \(0.599169\pi\) | |||||||
\(74\) | 69.3492 | + | 95.4510i | 0.937152 | + | 1.28988i | ||||
\(75\) | 53.6463 | + | 19.9674i | 0.715285 | + | 0.266232i | ||||
\(76\) | −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 | 0.552712 | + | 0.833372i | \(0.313593\pi\) |
−0.936998 | + | 0.349336i | \(0.886407\pi\) | |||||||
\(80\) | −33.8569 | − | 46.6000i | −0.423211 | − | 0.582500i | ||||
\(81\) | −56.6101 | − | 57.9335i | −0.698890 | − | 0.715229i | ||||
\(82\) | 12.6461 | + | 38.9207i | 0.154221 | + | 0.474643i | ||||
\(83\) | −30.3393 | + | 9.85783i | −0.365534 | + | 0.118769i | −0.486024 | − | 0.873945i | \(-0.661553\pi\) |
0.120491 | + | 0.992714i | \(0.461553\pi\) | |||||||
\(84\) | −30.6331 | + | 38.6279i | −0.364679 | + | 0.459855i | ||||
\(85\) | −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 | \(-0.0332161\pi\) | |||||||
\(90\) | 70.9531 | − | 168.536i | 0.788368 | − | 1.87262i | ||||
\(91\) | 40.2543 | − | 29.2464i | 0.442354 | − | 0.321389i | ||||
\(92\) | 86.1629 | − | 118.593i | 0.936553 | − | 1.28905i | ||||
\(93\) | −60.0481 | + | 16.7482i | −0.645678 | + | 0.180088i | ||||
\(94\) | −18.8097 | − | 57.8902i | −0.200103 | − | 0.615853i | ||||
\(95\) | −80.7886 | + | 111.196i | −0.850407 | + | 1.17048i | ||||
\(96\) | −108.118 | + | 71.7913i | −1.12623 | + | 0.747826i | ||||
\(97\) | −19.5614 | + | 60.2037i | −0.201664 | + | 0.620657i | 0.798170 | + | 0.602432i | \(0.205801\pi\) |
−0.999834 | + | 0.0182248i | \(0.994199\pi\) | |||||||
\(98\) | 121.242i | 1.23716i | ||||||||
\(99\) | 29.8099 | − | 94.4054i | 0.301110 | − | 0.953589i | ||||
\(100\) | 102.371 | 1.02371 | ||||||||
\(101\) | 143.000 | + | 46.4634i | 1.41584 | + | 0.460034i | 0.914277 | − | 0.405089i | \(-0.132759\pi\) |
0.501561 | + | 0.865122i | \(0.332759\pi\) | |||||||
\(102\) | 4.09147 | + | 6.16178i | 0.0401125 | + | 0.0604096i | ||||
\(103\) | 121.164 | + | 88.0311i | 1.17635 | + | 0.854671i | 0.991756 | − | 0.128144i | \(-0.0409019\pi\) |
0.184597 | + | 0.982814i | \(0.440902\pi\) | |||||||
\(104\) | −64.5443 | + | 20.9717i | −0.620618 | + | 0.201651i | ||||
\(105\) | 16.3904 | + | 58.7653i | 0.156099 | + | 0.559670i | ||||
\(106\) | −43.7608 | − | 31.7941i | −0.412838 | − | 0.299944i | ||||
\(107\) | −12.1974 | − | 16.7883i | −0.113995 | − | 0.156900i | 0.748207 | − | 0.663465i | \(-0.230915\pi\) |
−0.862202 | + | 0.506565i | \(0.830915\pi\) | |||||||
\(108\) | −131.023 | − | 61.7844i | −1.21317 | − | 0.572078i | ||||
\(109\) | −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 | \(-0.000122705\pi\) | |
−0.309384 | + | 0.950937i | \(0.600123\pi\) | |||||||
\(114\) | 148.915 | + | 118.094i | 1.30628 | + | 1.03592i | ||||
\(115\) | −56.0564 | − | 172.524i | −0.487447 | − | 1.50021i | ||||
\(116\) | 19.3014 | − | 6.27141i | 0.166391 | − | 0.0540638i | ||||
\(117\) | 110.622 | + | 95.5912i | 0.945491 | + | 0.817019i | ||||
\(118\) | 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 | ||||||
\(123\) | 13.9942 | − | 37.5980i | 0.113774 | − | 0.305675i | ||||
\(124\) | −90.1957 | + | 65.5310i | −0.727385 | + | 0.528476i | ||||
\(125\) | −23.1004 | + | 31.7950i | −0.184803 | + | 0.254360i | ||||
\(126\) | 82.1429 | − | 19.2196i | 0.651928 | − | 0.152536i | ||||
\(127\) | −45.3190 | − | 139.478i | −0.356843 | − | 1.09825i | −0.954933 | − | 0.296820i | \(-0.904074\pi\) |
0.598091 | − | 0.801428i | \(-0.295926\pi\) | |||||||
\(128\) | −74.0031 | + | 101.857i | −0.578150 | + | 0.795755i | ||||
\(129\) | 72.0431 | + | 108.497i | 0.558473 | + | 0.841063i | ||||
\(130\) | −101.994 | + | 313.905i | −0.784569 | + | 2.41465i | ||||
\(131\) | − | 149.467i | − | 1.14097i | −0.821309 | − | 0.570484i | \(-0.806756\pi\) | ||
0.821309 | − | 0.570484i | \(-0.193244\pi\) | |||||||
\(132\) | −8.93035 | − | 176.825i | −0.0676542 | − | 1.33958i | ||||
\(133\) | −63.4091 | −0.476760 | ||||||||
\(134\) | −210.417 | − | 68.3685i | −1.57027 | − | 0.510213i | ||||
\(135\) | −157.158 | + | 86.2326i | −1.16414 | + | 0.638760i | ||||
\(136\) | 2.72298 | + | 1.97836i | 0.0200219 | + | 0.0145467i | ||||
\(137\) | −144.757 | + | 47.0345i | −1.05662 | + | 0.343318i | −0.785264 | − | 0.619161i | \(-0.787473\pi\) |
−0.271359 | + | 0.962478i | \(0.587473\pi\) | |||||||
\(138\) | −241.618 | + | 67.3907i | −1.75086 | + | 0.488338i | ||||
\(139\) | −90.4769 | − | 65.7353i | −0.650913 | − | 0.472916i | 0.212669 | − | 0.977124i | \(-0.431784\pi\) |
−0.863582 | + | 0.504208i | \(0.831784\pi\) | |||||||
\(140\) | 64.1311 | + | 88.2689i | 0.458079 | + | 0.630492i | ||||
\(141\) | −20.8147 | + | 55.9228i | −0.147622 | + | 0.396616i | ||||
\(142\) | −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 | ||||
\(147\) | 73.8514 | − | 93.1256i | 0.502391 | − | 0.633507i | ||||
\(148\) | −63.9190 | − | 196.723i | −0.431885 | − | 1.32921i | ||||
\(149\) | 246.985 | − | 80.2503i | 1.65762 | − | 0.538592i | 0.677247 | − | 0.735756i | \(-0.263173\pi\) |
0.980371 | + | 0.197164i | \(0.0631730\pi\) | |||||||
\(150\) | −137.254 | − | 108.846i | −0.915025 | − | 0.725643i | ||||
\(151\) | −71.2078 | + | 51.7355i | −0.471575 | + | 0.342619i | −0.798055 | − | 0.602585i | \(-0.794137\pi\) |
0.326480 | + | 0.945204i | \(0.394137\pi\) | |||||||
\(152\) | 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 | ||||||||
\(156\) | 245.042 | + | 91.2058i | 1.57078 | + | 0.584653i | ||||
\(157\) | 6.19326 | − | 4.49967i | 0.0394475 | − | 0.0286603i | −0.567887 | − | 0.823107i | \(-0.692239\pi\) |
0.607334 | + | 0.794446i | \(0.292239\pi\) | |||||||
\(158\) | 176.715 | − | 243.228i | 1.11845 | − | 1.53942i | ||||
\(159\) | 14.2460 | + | 51.0768i | 0.0895977 | + | 0.321238i | ||||
\(160\) | 88.7566 | + | 273.165i | 0.554729 | + | 1.70728i | ||||
\(161\) | 49.1905 | − | 67.7049i | 0.305531 | − | 0.420527i | ||||
\(162\) | 109.976 | + | 222.149i | 0.678866 | + | 1.37129i | ||||
\(163\) | 81.1315 | − | 249.697i | 0.497739 | − | 1.53188i | −0.314905 | − | 0.949123i | \(-0.601973\pi\) |
0.812644 | − | 0.582760i | \(-0.198027\pi\) | |||||||
\(164\) | − | 71.7464i | − | 0.437478i | ||||||
\(165\) | −183.524 | − | 119.678i | −1.11227 | − | 0.725320i | ||||
\(166\) | 97.6240 | 0.588096 | ||||||||
\(167\) | −152.175 | − | 49.4447i | −0.911228 | − | 0.296076i | −0.184364 | − | 0.982858i | \(-0.559023\pi\) |
−0.726863 | + | 0.686782i | \(0.759023\pi\) | |||||||
\(168\) | 31.9807 | − | 21.2355i | 0.190361 | − | 0.126402i | ||||
\(169\) | −76.7667 | − | 55.7743i | −0.454241 | − | 0.330025i | ||||
\(170\) | 15.5680 | − | 5.05835i | 0.0915765 | − | 0.0297550i | ||||
\(171\) | −42.4474 | − | 181.416i | −0.248230 | − | 1.06091i | ||||
\(172\) | 188.432 | + | 136.904i | 1.09554 | + | 0.795954i | ||||
\(173\) | −97.2924 | − | 133.912i | −0.562384 | − | 0.774055i | 0.429243 | − | 0.903189i | \(-0.358780\pi\) |
−0.991627 | + | 0.129134i | \(0.958780\pi\) | |||||||
\(174\) | −32.5466 | − | 12.1140i | −0.187049 | − | 0.0696206i | ||||
\(175\) | 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 | \(-0.147718\pi\) |
−0.702019 | + | 0.712158i | \(0.747718\pi\) | |||||||
\(180\) | −209.611 | + | 242.571i | −1.16450 | + | 1.34762i | ||||
\(181\) | 87.9703 | + | 270.745i | 0.486024 | + | 1.49583i | 0.830492 | + | 0.557030i | \(0.188059\pi\) |
−0.344468 | + | 0.938798i | \(0.611941\pi\) | |||||||
\(182\) | −144.817 | + | 47.0537i | −0.795695 | + | 0.258537i | ||||
\(183\) | −19.8613 | + | 25.0448i | −0.108531 | + | 0.136857i | ||||
\(184\) | −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 | ||||||||
\(189\) | −74.8009 | − | 35.2728i | −0.395772 | − | 0.186628i | ||||
\(190\) | 340.288 | − | 247.234i | 1.79099 | − | 1.30123i | ||||
\(191\) | −80.7867 | + | 111.193i | −0.422967 | + | 0.582164i | −0.966321 | − | 0.257339i | \(-0.917154\pi\) |
0.543354 | + | 0.839504i | \(0.317154\pi\) | |||||||
\(192\) | 282.285 | − | 78.7330i | 1.47023 | − | 0.410068i | ||||
\(193\) | 92.1162 | + | 283.505i | 0.477286 | + | 1.46894i | 0.842850 | + | 0.538149i | \(0.180876\pi\) |
−0.365563 | + | 0.930786i | \(0.619124\pi\) | |||||||
\(194\) | 113.866 | − | 156.723i | 0.586937 | − | 0.807849i | ||||
\(195\) | 269.549 | − | 178.983i | 1.38230 | − | 0.917861i | ||||
\(196\) | 65.6840 | − | 202.155i | 0.335122 | − | 1.03140i | ||||
\(197\) | 58.1375i | 0.295114i | 0.989054 | + | 0.147557i | \(0.0471410\pi\) | ||||
−0.989054 | + | 0.147557i | \(0.952859\pi\) | |||||||
\(198\) | −176.037 | + | 246.574i | −0.889077 | + | 1.24532i | ||||
\(199\) | −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 | ||||
\(201\) | 119.976 | + | 180.684i | 0.596894 | + | 0.898925i | ||||
\(202\) | −372.258 | − | 270.461i | −1.84286 | − | 1.33892i | ||||
\(203\) | 11.0192 | − | 3.58035i | 0.0542818 | − | 0.0176372i | ||||
\(204\) | −3.48378 | − | 12.4905i | −0.0170774 | − | 0.0612282i | ||||
\(205\) | −71.8288 | − | 52.1867i | −0.350384 | − | 0.254569i | ||||
\(206\) | −269.397 | − | 370.794i | −1.30775 | − | 1.79997i | ||||
\(207\) | 226.636 | + | 95.4133i | 1.09486 | + | 0.460934i | ||||
\(208\) | −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 | −0.980219 | − | 0.197916i | \(-0.936583\pi\) |
0.909346 | + | 0.416040i | \(0.136583\pi\) | |||||||
\(212\) | 55.7406 | + | 76.7204i | 0.262927 | + | 0.361889i | ||||
\(213\) | 6.04074 | + | 4.79049i | 0.0283603 | + | 0.0224906i | ||||
\(214\) | 19.6241 | + | 60.3967i | 0.0917013 | + | 0.282228i | ||||
\(215\) | 274.123 | − | 89.0679i | 1.27499 | − | 0.414269i | ||||
\(216\) | 82.1642 | + | 77.2828i | 0.380390 | + | 0.357791i | ||||
\(217\) | −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 | ||||||||
\(222\) | −123.467 | + | 331.719i | −0.556159 | + | 1.49423i | ||||
\(223\) | −171.282 | + | 124.444i | −0.768082 | + | 0.558044i | −0.901378 | − | 0.433032i | \(-0.857444\pi\) |
0.133297 | + | 0.991076i | \(0.457444\pi\) | |||||||
\(224\) | −77.8855 | + | 107.200i | −0.347703 | + | 0.478573i | ||||
\(225\) | 39.1233 | + | 167.210i | 0.173881 | + | 0.743153i | ||||
\(226\) | −125.556 | − | 386.421i | −0.555556 | − | 1.70983i | ||||
\(227\) | −71.3484 | + | 98.2027i | −0.314310 | + | 0.432611i | −0.936719 | − | 0.350081i | \(-0.886154\pi\) |
0.622409 | + | 0.782692i | \(0.286154\pi\) | |||||||
\(228\) | −184.318 | − | 277.583i | −0.808412 | − | 1.21747i | ||||
\(229\) | 99.7951 | − | 307.138i | 0.435786 | − | 1.34121i | −0.456492 | − | 0.889727i | \(-0.650894\pi\) |
0.892279 | − | 0.451485i | \(-0.149106\pi\) | |||||||
\(230\) | 555.137i | 2.41364i | ||||||||
\(231\) | −5.09835 | − | 100.950i | −0.0220708 | − | 0.437011i | ||||
\(232\) | −15.8030 | −0.0681166 | ||||||||
\(233\) | 382.714 | + | 124.351i | 1.64255 | + | 0.533697i | 0.977106 | − | 0.212752i | \(-0.0682427\pi\) |
0.665443 | + | 0.746449i | \(0.268243\pi\) | |||||||
\(234\) | −231.566 | − | 382.828i | −0.989599 | − | 1.63602i | ||||
\(235\) | 106.837 | + | 77.6218i | 0.454626 | + | 0.330305i | ||||
\(236\) | −222.092 | + | 72.1621i | −0.941068 | + | 0.305771i | ||||
\(237\) | −283.891 | + | 79.1811i | −1.19785 | + | 0.334098i | ||||
\(238\) | 6.10948 | + | 4.43879i | 0.0256701 | + | 0.0186504i | ||||
\(239\) | 0.188940 | + | 0.260053i | 0.000790543 | + | 0.00108809i | 0.809412 | − | 0.587241i | \(-0.199786\pi\) |
−0.808622 | + | 0.588329i | \(0.799786\pi\) | |||||||
\(240\) | 60.2779 | − | 161.948i | 0.251158 | − | 0.674784i | ||||
\(241\) | 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 | ||||
\(246\) | −76.2850 | + | 96.1943i | −0.310102 | + | 0.391034i | ||||
\(247\) | 103.920 | + | 319.834i | 0.420730 | + | 1.29487i | ||||
\(248\) | 82.5644 | − | 26.8268i | 0.332921 | − | 0.108173i | ||||
\(249\) | −74.9848 | − | 59.4653i | −0.301144 | − | 0.238816i | ||||
\(250\) | 97.3007 | − | 70.6931i | 0.389203 | − | 0.282772i | ||||
\(251\) | 107.109 | + | 34.8019i | 0.426730 | + | 0.138653i | 0.514505 | − | 0.857487i | \(-0.327976\pi\) |
−0.0877748 | + | 0.996140i | \(0.527976\pi\) | |||||||
\(252\) | −147.375 | − | 12.4557i | −0.584821 | − | 0.0494272i | ||||
\(253\) | 27.7966 | + | 299.258i | 0.109868 | + | 1.18284i | ||||
\(254\) | 448.803i | 1.76694i | ||||||||
\(255\) | −15.0389 | − | 5.59755i | −0.0589762 | − | 0.0219512i | ||||
\(256\) | −4.41230 | + | 3.20572i | −0.0172355 | + | 0.0125224i | ||||
\(257\) | −115.540 | + | 159.027i | −0.449572 | + | 0.618783i | −0.972306 | − | 0.233713i | \(-0.924912\pi\) |
0.522733 | + | 0.852496i | \(0.324912\pi\) | |||||||
\(258\) | −107.077 | − | 383.907i | −0.415027 | − | 1.48801i | ||||
\(259\) | −36.4915 | − | 112.309i | −0.140894 | − | 0.433626i | ||||
\(260\) | 340.123 | − | 468.139i | 1.30816 | − | 1.80053i | ||||
\(261\) | 17.6200 | + | 29.1297i | 0.0675097 | + | 0.111608i | ||||
\(262\) | −141.346 | + | 435.020i | −0.539490 | + | 1.66038i | ||||
\(263\) | − | 378.327i | − | 1.43850i | −0.694749 | − | 0.719252i | \(-0.744485\pi\) | ||
0.694749 | − | 0.719252i | \(-0.255515\pi\) | |||||||
\(264\) | −35.9350 | + | 133.100i | −0.136117 | + | 0.504165i | ||||
\(265\) | 117.353 | 0.442842 | ||||||||
\(266\) | 184.551 | + | 59.9641i | 0.693799 | + | 0.225429i | ||||
\(267\) | 46.3376 | − | 30.7686i | 0.173549 | − | 0.115238i | ||||
\(268\) | 313.803 | + | 227.991i | 1.17090 | + | 0.850712i | ||||
\(269\) | 191.309 | − | 62.1601i | 0.711186 | − | 0.231078i | 0.0689882 | − | 0.997617i | \(-0.478023\pi\) |
0.642198 | + | 0.766539i | \(0.278023\pi\) | |||||||
\(270\) | 538.953 | − | 102.358i | 1.99612 | − | 0.379103i | ||||
\(271\) | −64.8950 | − | 47.1490i | −0.239465 | − | 0.173981i | 0.461580 | − | 0.887099i | \(-0.347283\pi\) |
−0.701045 | + | 0.713117i | \(0.747283\pi\) | |||||||
\(272\) | 4.10836 | + | 5.65467i | 0.0151043 | + | 0.0207892i | ||||
\(273\) | 139.895 | + | 52.0695i | 0.512436 | + | 0.190731i | ||||
\(274\) | 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 | −0.751546 | − | 0.659681i | \(-0.770692\pi\) |
0.995764 | − | 0.0919450i | \(-0.0293084\pi\) | |||||||
\(278\) | 201.167 | + | 276.882i | 0.723622 | + | 0.995980i | ||||
\(279\) | −141.507 | − | 122.279i | −0.507194 | − | 0.438277i | ||||
\(280\) | −26.2537 | − | 80.8006i | −0.0937633 | − | 0.288574i | ||||
\(281\) | −472.140 | + | 153.407i | −1.68021 | + | 0.545934i | −0.984953 | − | 0.172825i | \(-0.944711\pi\) |
−0.695260 | + | 0.718759i | \(0.744711\pi\) | |||||||
\(282\) | 113.465 | − | 143.078i | 0.402359 | − | 0.507369i | ||||
\(283\) | 248.936 | − | 180.862i | 0.879632 | − | 0.639090i | −0.0535221 | − | 0.998567i | \(-0.517045\pi\) |
0.933154 | + | 0.359477i | \(0.117045\pi\) | |||||||
\(284\) | 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 | ||||||
\(288\) | −358.843 | − | 151.072i | −1.24598 | − | 0.524556i | ||||
\(289\) | −233.281 | + | 169.488i | −0.807200 | + | 0.586465i | ||||
\(290\) | −45.1752 | + | 62.1783i | −0.155777 | + | 0.214408i | ||||
\(291\) | −182.924 | + | 51.0200i | −0.628604 | + | 0.175326i | ||||
\(292\) | 75.4004 | + | 232.059i | 0.258221 | + | 0.794721i | ||||
\(293\) | 199.670 | − | 274.822i | 0.681466 | − | 0.937957i | −0.318484 | − | 0.947928i | \(-0.603174\pi\) |
0.999950 | + | 0.00997075i | \(0.00317384\pi\) | |||||||
\(294\) | −303.009 | + | 201.201i | −1.03064 | + | 0.684355i | ||||
\(295\) | −89.2997 | + | 274.836i | −0.302711 | + | 0.931648i | ||||
\(296\) | 161.067i | 0.544145i | ||||||||
\(297\) | 285.409 | − | 82.1643i | 0.960971 | − | 0.276648i | ||||
\(298\) | −794.734 | −2.66689 | ||||||||
\(299\) | −422.120 | − | 137.155i | −1.41177 | − | 0.458712i | ||||
\(300\) | 169.884 | + | 255.846i | 0.566279 | + | 0.852819i | ||||
\(301\) | 107.576 | + | 78.1587i | 0.357396 | + | 0.259664i | ||||
\(302\) | 256.173 | − | 83.2358i | 0.848256 | − | 0.275615i | ||||
\(303\) | 121.186 | + | 434.492i | 0.399953 | + | 1.43397i | ||||
\(304\) | 145.301 | + | 105.568i | 0.477965 | + | 0.347262i | ||||
\(305\) | 41.5801 | + | 57.2300i | 0.136328 | + | 0.187639i | ||||
\(306\) | −8.60979 | + | 20.4509i | −0.0281366 | + | 0.0668331i | ||||
\(307\) | −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 | \(-0.244687\pi\) |
−0.883306 | + | 0.468797i | \(0.844687\pi\) | |||||||
\(312\) | −159.524 | − | 126.507i | −0.511295 | − | 0.405472i | ||||
\(313\) | −185.075 | − | 569.601i | −0.591292 | − | 1.81981i | −0.572378 | − | 0.819990i | \(-0.693979\pi\) |
−0.0189146 | − | 0.999821i | \(-0.506021\pi\) | |||||||
\(314\) | −22.2805 | + | 7.23939i | −0.0709572 | + | 0.0230554i | ||||
\(315\) | −119.667 | + | 138.484i | −0.379895 | + | 0.439632i | ||||
\(316\) | −426.421 | + | 309.813i | −1.34943 | + | 0.980421i | ||||
\(317\) | 2.33475 | + | 0.758605i | 0.00736513 | + | 0.00239308i | 0.312697 | − | 0.949853i | \(-0.398767\pi\) |
−0.305332 | + | 0.952246i | \(0.598767\pi\) | |||||||
\(318\) | 6.83917 | − | 162.130i | 0.0215068 | − | 0.509843i | ||||
\(319\) | −21.2393 | + | 35.7805i | −0.0665808 | + | 0.112165i | ||||
\(320\) | − | 648.571i | − | 2.02678i | ||||||
\(321\) | 21.7159 | − | 58.3441i | 0.0676509 | − | 0.181757i | ||||
\(322\) | −207.194 | + | 150.535i | −0.643460 | + | 0.467501i | ||||
\(323\) | 9.80328 | − | 13.4931i | 0.0303507 | − | 0.0417742i | ||||
\(324\) | −63.0195 | − | 429.984i | −0.194505 | − | 1.32711i | ||||
\(325\) | −95.7823 | − | 294.788i | −0.294715 | − | 0.907039i | ||||
\(326\) | −472.262 | + | 650.013i | −1.44866 | + | 1.99391i | ||||
\(327\) | −175.564 | − | 264.400i | −0.536894 | − | 0.808564i | ||||
\(328\) | −17.2640 | + | 53.1330i | −0.0526340 | + | 0.161991i | ||||
\(329\) | 60.9235i | 0.185178i | ||||||||
\(330\) | 420.966 | + | 521.873i | 1.27565 | + | 1.58143i | ||||
\(331\) | 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 | ||||
\(333\) | 296.894 | − | 179.586i | 0.891573 | − | 0.539297i | ||||
\(334\) | 396.143 | + | 287.815i | 1.18606 | + | 0.861721i | ||||
\(335\) | 456.506 | − | 148.328i | 1.36270 | − | 0.442769i | ||||
\(336\) | 76.7895 | − | 21.4176i | 0.228540 | − | 0.0637430i | ||||
\(337\) | −478.841 | − | 347.898i | −1.42089 | − | 1.03234i | −0.991624 | − | 0.129162i | \(-0.958771\pi\) |
−0.429269 | − | 0.903177i | \(-0.641229\pi\) | |||||||
\(338\) | 170.684 | + | 234.926i | 0.504981 | + | 0.695047i | ||||
\(339\) | −138.940 | + | 373.288i | −0.409851 | + | 1.10115i | ||||
\(340\) | −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 | ||||
\(345\) | 338.148 | − | 426.400i | 0.980139 | − | 1.23594i | ||||
\(346\) | 156.531 | + | 481.753i | 0.452402 | + | 1.39235i | ||||
\(347\) | 280.182 | − | 91.0367i | 0.807442 | − | 0.262354i | 0.123928 | − | 0.992291i | \(-0.460451\pi\) |
0.683514 | + | 0.729938i | \(0.260451\pi\) | |||||||
\(348\) | 47.7042 | + | 37.8309i | 0.137081 | + | 0.108710i | ||||
\(349\) | −333.322 | + | 242.172i | −0.955076 | + | 0.693903i | −0.952002 | − | 0.306092i | \(-0.900979\pi\) |
−0.00307413 | + | 0.999995i | \(0.500979\pi\) | |||||||
\(350\) | −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 | \(0.938491\pi\) | |||||||
\(354\) | 374.498 | + | 139.390i | 1.05790 | + | 0.393756i | ||||
\(355\) | 13.8038 | − | 10.0290i | 0.0388838 | − | 0.0282507i | ||||
\(356\) | 58.4698 | − | 80.4768i | 0.164241 | − | 0.226058i | ||||
\(357\) | −1.98890 | − | 7.13087i | −0.00557114 | − | 0.0199744i | ||||
\(358\) | −55.3568 | − | 170.371i | −0.154628 | − | 0.475896i | ||||
\(359\) | −163.860 | + | 225.534i | −0.456435 | + | 0.628229i | −0.973765 | − | 0.227557i | \(-0.926926\pi\) |
0.517330 | + | 0.855786i | \(0.326926\pi\) | |||||||
\(360\) | 213.600 | − | 129.203i | 0.593332 | − | 0.358896i | ||||
\(361\) | 20.8784 | − | 64.2571i | 0.0578349 | − | 0.177997i | ||||
\(362\) | − | 871.187i | − | 2.40659i | ||||||
\(363\) | 253.061 | + | 260.248i | 0.697139 | + | 0.716936i | ||||
\(364\) | 266.954 | 0.733391 | ||||||||
\(365\) | 287.170 | + | 93.3072i | 0.786767 | + | 0.255636i | ||||
\(366\) | 81.4898 | − | 54.1100i | 0.222650 | − | 0.147841i | ||||
\(367\) | 142.701 | + | 103.678i | 0.388830 | + | 0.282502i | 0.764976 | − | 0.644059i | \(-0.222751\pi\) |
−0.376146 | + | 0.926560i | \(0.622751\pi\) | |||||||
\(368\) | −225.439 | + | 73.2497i | −0.612607 | + | 0.199048i | ||||
\(369\) | 117.189 | − | 27.4195i | 0.317585 | − | 0.0743077i | ||||
\(370\) | 633.730 | + | 460.432i | 1.71278 | + | 1.24441i | ||||
\(371\) | 31.8224 | + | 43.7998i | 0.0857746 | + | 0.118059i | ||||
\(372\) | −313.456 | − | 116.670i | −0.842623 | − | 0.313628i | ||||
\(373\) | 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 | ||||
\(378\) | 184.350 | + | 173.398i | 0.487698 | + | 0.458724i | ||||
\(379\) | 16.4492 | + | 50.6253i | 0.0434015 | + | 0.133576i | 0.970409 | − | 0.241466i | \(-0.0776283\pi\) |
−0.927008 | + | 0.375042i | \(0.877628\pi\) | |||||||
\(380\) | −701.327 | + | 227.875i | −1.84560 | + | 0.599671i | ||||
\(381\) | 273.377 | − | 344.725i | 0.717526 | − | 0.904790i | ||||
\(382\) | 340.280 | − | 247.228i | 0.890785 | − | 0.647193i | ||||
\(383\) | −85.2768 | − | 27.7081i | −0.222655 | − | 0.0723449i | 0.195565 | − | 0.980691i | \(-0.437346\pi\) |
−0.418220 | + | 0.908346i | \(0.637346\pi\) | |||||||
\(384\) | −377.369 | − | 15.9187i | −0.982733 | − | 0.0414549i | ||||
\(385\) | −218.230 | − | 49.1534i | −0.566831 | − | 0.127671i | ||||
\(386\) | − | 912.245i | − | 2.36333i | ||||||
\(387\) | −151.602 | + | 360.102i | −0.391736 | + | 0.930496i | ||||
\(388\) | −274.762 | + | 199.626i | −0.708150 | + | 0.514501i | ||||
\(389\) | −158.468 | + | 218.112i | −0.407372 | + | 0.560699i | −0.962575 | − | 0.271016i | \(-0.912640\pi\) |
0.555203 | + | 0.831715i | \(0.312640\pi\) | |||||||
\(390\) | −953.774 | + | 266.021i | −2.44557 | + | 0.682104i | ||||
\(391\) | 6.80215 | + | 20.9349i | 0.0173968 | + | 0.0535419i | ||||
\(392\) | −97.2868 | + | 133.904i | −0.248181 | + | 0.341591i | ||||
\(393\) | 373.549 | − | 248.040i | 0.950508 | − | 0.631145i | ||||
\(394\) | 54.9789 | − | 169.208i | 0.139540 | − | 0.429461i | ||||
\(395\) | 652.262i | 1.65130i | ||||||||
\(396\) | 427.103 | − | 315.760i | 1.07854 | − | 0.797373i | ||||
\(397\) | 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 | ||||
\(399\) | −105.227 | − | 158.473i | −0.263728 | − | 0.397175i | ||||
\(400\) | −133.923 | − | 97.3006i | −0.334807 | − | 0.243252i | ||||
\(401\) | −427.784 | + | 138.995i | −1.06679 | + | 0.346622i | −0.789237 | − | 0.614088i | \(-0.789524\pi\) |
−0.277555 | + | 0.960710i | \(0.589524\pi\) | |||||||
\(402\) | −178.319 | − | 639.333i | −0.443579 | − | 1.59038i | ||||
\(403\) | 273.095 | + | 198.415i | 0.677655 | + | 0.492345i | ||||
\(404\) | 474.165 | + | 652.633i | 1.17368 | + | 1.61543i | ||||
\(405\) | −476.317 | − | 249.669i | −1.17609 | − | 0.616467i | ||||
\(406\) | −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 | −0.992272 | − | 0.124078i | \(-0.960403\pi\) |
0.875697 | + | 0.482862i | \(0.160403\pi\) | |||||||
\(410\) | 159.705 | + | 219.814i | 0.389523 | + | 0.536133i | ||||
\(411\) | −357.774 | − | 283.726i | −0.870496 | − | 0.690330i | ||||
\(412\) | 248.303 | + | 764.199i | 0.602678 | + | 1.85485i | ||||
\(413\) | −126.793 | + | 41.1974i | −0.307004 | + | 0.0997516i | ||||
\(414\) | −569.389 | − | 492.021i | −1.37534 | − | 1.18846i | ||||
\(415\) | −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 | \(-0.357597\pi\) | |||||||
\(420\) | −114.177 | + | 306.759i | −0.271851 | + | 0.730380i | ||||
\(421\) | 353.452 | − | 256.798i | 0.839553 | − | 0.609971i | −0.0826929 | − | 0.996575i | \(-0.526352\pi\) |
0.922246 | + | 0.386604i | \(0.126352\pi\) | |||||||
\(422\) | 87.0474 | − | 119.810i | 0.206274 | − | 0.283911i | ||||
\(423\) | −174.305 | + | 40.7834i | −0.412068 | + | 0.0964147i | ||||
\(424\) | −22.8188 | − | 70.2292i | −0.0538180 | − | 0.165635i | ||||
\(425\) | −9.03558 | + | 12.4364i | −0.0212602 | + | 0.0292621i | ||||
\(426\) | −13.0512 | − | 19.6552i | −0.0306366 | − | 0.0461389i | ||||
\(427\) | −10.0848 | + | 31.0379i | −0.0236179 | + | 0.0726883i | ||||
\(428\) | − | 111.335i | − | 0.260129i | ||||||
\(429\) | −500.832 | + | 191.161i | −1.16744 | + | 0.445597i | ||||
\(430\) | −882.057 | −2.05129 | ||||||||
\(431\) | −9.25765 | − | 3.00799i | −0.0214795 | − | 0.00697910i | 0.298258 | − | 0.954485i | \(-0.403595\pi\) |
−0.319737 | + | 0.947506i | \(0.603595\pi\) | |||||||
\(432\) | 112.681 | + | 205.361i | 0.260837 | + | 0.475373i | ||||
\(433\) | 47.9543 | + | 34.8408i | 0.110749 | + | 0.0804638i | 0.641781 | − | 0.766888i | \(-0.278196\pi\) |
−0.531032 | + | 0.847352i | \(0.678196\pi\) | |||||||
\(434\) | 185.248 | − | 60.1907i | 0.426838 | − | 0.138688i | ||||
\(435\) | 72.5734 | − | 20.2417i | 0.166835 | − | 0.0465327i | ||||
\(436\) | −459.197 | − | 333.626i | −1.05320 | − | 0.765198i | ||||
\(437\) | 332.465 | + | 457.598i | 0.760788 | + | 1.04714i | ||||
\(438\) | 145.645 | − | 391.304i | 0.332523 | − | 0.893388i | ||||
\(439\) | 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 | −0.999790 | − | 0.0204842i | \(-0.993479\pi\) |
0.289470 | − | 0.957187i | \(-0.406521\pi\) | |||||||
\(444\) | 385.578 | − | 486.208i | 0.868419 | − | 1.09506i | ||||
\(445\) | −38.0397 | − | 117.074i | −0.0854824 | − | 0.263088i | ||||
\(446\) | 616.196 | − | 200.214i | 1.38160 | − | 0.448910i | ||||
\(447\) | 610.434 | + | 484.093i | 1.36562 | + | 1.08298i | ||||
\(448\) | 242.067 | − | 175.872i | 0.540327 | − | 0.392571i | ||||
\(449\) | −731.756 | − | 237.762i | −1.62975 | − | 0.529537i | −0.655534 | − | 0.755166i | \(-0.727556\pi\) |
−0.974213 | + | 0.225629i | \(0.927556\pi\) | |||||||
\(450\) | 44.2578 | − | 523.657i | 0.0983508 | − | 1.16368i | ||||
\(451\) | 97.0986 | + | 110.499i | 0.215296 | + | 0.245009i | ||||
\(452\) | 712.327i | 1.57594i | ||||||||
\(453\) | −247.467 | − | 92.1084i | −0.546285 | − | 0.203330i | ||||
\(454\) | 300.525 | − | 218.344i | 0.661950 | − | 0.480935i | ||||
\(455\) | 194.177 | − | 267.261i | 0.426762 | − | 0.587387i | ||||
\(456\) | 69.7063 | + | 249.921i | 0.152865 | + | 0.548072i | ||||
\(457\) | 52.4263 | + | 161.352i | 0.114718 | + | 0.353067i | 0.991888 | − | 0.127113i | \(-0.0405712\pi\) |
−0.877170 | + | 0.480180i | \(0.840571\pi\) | |||||||
\(458\) | −580.902 | + | 799.543i | −1.26835 | + | 1.74573i | ||||
\(459\) | 19.0703 | − | 10.4639i | 0.0415476 | − | 0.0227971i | ||||
\(460\) | 300.751 | − | 925.618i | 0.653807 | − | 2.01221i | ||||
\(461\) | 266.355i | 0.577777i | 0.957363 | + | 0.288888i | \(0.0932857\pi\) | ||||
−0.957363 | + | 0.288888i | \(0.906714\pi\) | |||||||
\(462\) | −80.6264 | + | 298.633i | −0.174516 | + | 0.646391i | ||||
\(463\) | −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 | ||||
\(465\) | −344.804 | + | 228.953i | −0.741514 | + | 0.492372i | ||||
\(466\) | −996.284 | − | 723.843i | −2.13795 | − | 1.55331i | ||||
\(467\) | 642.132 | − | 208.641i | 1.37502 | − | 0.446770i | 0.473988 | − | 0.880531i | \(-0.342814\pi\) |
0.901028 | + | 0.433762i | \(0.142814\pi\) | |||||||
\(468\) | 178.705 | + | 763.769i | 0.381848 | + | 1.63198i | ||||
\(469\) | 179.150 | + | 130.160i | 0.381983 | + | 0.277527i | ||||
\(470\) | −237.542 | − | 326.949i | −0.505409 | − | 0.695636i | ||||
\(471\) | 21.5233 | + | 8.01109i | 0.0456971 | + | 0.0170087i | ||||
\(472\) | 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 | ||||
\(477\) | −104.011 | + | 120.366i | −0.218052 | + | 0.252339i | ||||
\(478\) | −0.303980 | − | 0.935553i | −0.000635941 | − | 0.00195722i | ||||
\(479\) | −665.556 | + | 216.252i | −1.38947 | + | 0.451466i | −0.905771 | − | 0.423768i | \(-0.860707\pi\) |
−0.483700 | + | 0.875234i | \(0.660707\pi\) | |||||||
\(480\) | −535.405 | + | 675.138i | −1.11543 | + | 1.40654i | ||||
\(481\) | −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 | ||||||||
\(486\) | −372.691 | + | 643.510i | −0.766854 | + | 1.32409i | ||||
\(487\) | 528.569 | − | 384.028i | 1.08536 | − | 0.788558i | 0.106747 | − | 0.994286i | \(-0.465956\pi\) |
0.978609 | + | 0.205729i | \(0.0659564\pi\) | |||||||
\(488\) | 26.1639 | − | 36.0115i | 0.0536145 | − | 0.0737941i | ||||
\(489\) | 758.683 | − | 211.607i | 1.55150 | − | 0.432734i | ||||
\(490\) | 248.747 | + | 765.565i | 0.507647 | + | 1.56238i | ||||
\(491\) | 36.3470 | − | 50.0274i | 0.0740265 | − | 0.101889i | −0.770398 | − | 0.637563i | \(-0.779943\pi\) |
0.844425 | + | 0.535674i | \(0.179943\pi\) | |||||||
\(492\) | 179.309 | − | 119.063i | 0.364450 | − | 0.241998i | ||||
\(493\) | −0.941732 | + | 2.89835i | −0.00191021 | + | 0.00587901i | ||||
\(494\) | − | 1029.14i | − | 2.08329i | ||||||
\(495\) | −5.45732 | − | 657.270i | −0.0110249 | − | 1.32782i | ||||
\(496\) | 180.281 | 0.363470 | ||||||||
\(497\) | 7.48628 | + | 2.43244i | 0.0150629 | + | 0.00489424i | ||||
\(498\) | 162.007 | + | 243.983i | 0.325315 | + | 0.489926i | ||||
\(499\) | −266.970 | − | 193.965i | −0.535010 | − | 0.388707i | 0.287219 | − | 0.957865i | \(-0.407269\pi\) |
−0.822228 | + | 0.569158i | \(0.807269\pi\) | |||||||
\(500\) | −200.535 | + | 65.1577i | −0.401069 | + | 0.130315i | ||||
\(501\) | −128.962 | − | 462.371i | −0.257408 | − | 0.922897i | ||||
\(502\) | −278.828 | − | 202.580i | −0.555434 | − | 0.403547i | ||||
\(503\) | 204.067 | + | 280.874i | 0.405700 | + | 0.558398i | 0.962163 | − | 0.272474i | \(-0.0878420\pi\) |
−0.556463 | + | 0.830872i | \(0.687842\pi\) | |||||||
\(504\) | 106.144 | + | 44.6863i | 0.210603 | + | 0.0886633i | ||||
\(505\) | 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 | 0.931997 | + | 0.362465i | \(0.118065\pi\) |
0.0567219 | + | 0.998390i | \(0.481935\pi\) | |||||||
\(510\) | 38.4770 | + | 30.5134i | 0.0754450 | + | 0.0598302i | ||||
\(511\) | 43.0462 | + | 132.483i | 0.0842391 | + | 0.259261i | ||||
\(512\) | 494.832 | − | 160.781i | 0.966468 | − | 0.314025i | ||||
\(513\) | 382.957 | − | 407.145i | 0.746504 | − | 0.793655i | ||||
\(514\) | 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 | ||||||||
\(519\) | 173.217 | − | 465.381i | 0.333751 | − | 0.896687i | ||||
\(520\) | −364.530 | + | 264.846i | −0.701019 | + | 0.509320i | ||||
\(521\) | 418.891 | − | 576.554i | 0.804013 | − | 1.10663i | −0.188207 | − | 0.982129i | \(-0.560268\pi\) |
0.992220 | − | 0.124499i | \(-0.0397325\pi\) | |||||||
\(522\) | −23.7356 | − | 101.444i | −0.0454705 | − | 0.194337i | ||||
\(523\) | 155.721 | + | 479.261i | 0.297746 | + | 0.916369i | 0.982285 | + | 0.187392i | \(0.0600036\pi\) |
−0.684539 | + | 0.728976i | \(0.739996\pi\) | |||||||
\(524\) | 471.353 | − | 648.762i | 0.899529 | − | 1.23809i | ||||
\(525\) | 96.9869 | + | 146.063i | 0.184737 | + | 0.278215i | ||||
\(526\) | −357.772 | + | 1101.11i | −0.680176 | + | 2.09337i | ||||
\(527\) | − | 16.7414i | − | 0.0317673i | ||||||
\(528\) | −156.385 | + | 239.813i | −0.296183 | + | 0.454192i | ||||
\(529\) | −217.513 | −0.411179 | ||||||||
\(530\) | −341.553 | − | 110.977i | −0.644440 | − | 0.209391i | ||||
\(531\) | −202.745 | − | 335.181i | −0.381818 | − | 0.631226i | ||||
\(532\) | −275.227 | − | 199.964i | −0.517345 | − | 0.375873i | ||||
\(533\) | −206.602 | + | 67.1290i | −0.387621 | + | 0.125946i | ||||
\(534\) | −163.961 | + | 45.7311i | −0.307044 | + | 0.0856387i | ||||
\(535\) | −111.463 | − | 80.9826i | −0.208342 | − | 0.151369i | ||||
\(536\) | −177.532 | − | 244.351i | −0.331216 | − | 0.455879i | ||||
\(537\) | −61.2576 | + | 164.581i | −0.114074 | + | 0.306482i | ||||
\(538\) | −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 | 0.631596 | + | 0.775298i | \(0.282400\pi\) |
−0.966680 | + | 0.255987i | \(0.917600\pi\) | |||||||
\(542\) | 144.288 | + | 198.595i | 0.266214 | + | 0.366412i | ||||
\(543\) | −530.662 | + | 669.157i | −0.977279 | + | 1.23233i | ||||
\(544\) | −10.7702 | − | 33.1471i | −0.0197981 | − | 0.0609322i | ||||
\(545\) | −668.020 | + | 217.053i | −1.22572 | + | 0.398262i | ||||
\(546\) | −357.920 | − | 283.842i | −0.655531 | − | 0.519856i | ||||
\(547\) | −557.289 | + | 404.894i | −1.01881 | + | 0.740209i | −0.966039 | − | 0.258398i | \(-0.916805\pi\) |
−0.0527711 | + | 0.998607i | \(0.516805\pi\) | |||||||
\(548\) | −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 | ||||||||
\(552\) | −320.928 | − | 119.451i | −0.581391 | − | 0.216396i | ||||
\(553\) | −243.444 | + | 176.873i | −0.440225 | + | 0.319842i | ||||
\(554\) | −393.778 | + | 541.989i | −0.710790 | + | 0.978319i | ||||
\(555\) | −206.306 | − | 739.678i | −0.371723 | − | 1.33275i | ||||
\(556\) | −185.415 | − | 570.649i | −0.333480 | − | 1.02635i | ||||
\(557\) | 363.725 | − | 500.624i | 0.653007 | − | 0.898787i | −0.346218 | − | 0.938154i | \(-0.612534\pi\) |
0.999225 | + | 0.0393671i | \(0.0125342\pi\) | |||||||
\(558\) | 296.217 | + | 489.710i | 0.530855 | + | 0.877616i | ||||
\(559\) | 217.925 | − | 670.706i | 0.389849 | − | 1.19983i | ||||
\(560\) | − | 176.430i | − | 0.315053i | ||||||
\(561\) | 22.2697 | + | 14.5223i | 0.0396964 | + | 0.0258864i | ||||
\(562\) | 1519.22 | 2.70325 | ||||||||
\(563\) | −541.408 | − | 175.914i | −0.961648 | − | 0.312458i | −0.214208 | − | 0.976788i | \(-0.568717\pi\) |
−0.747440 | + | 0.664330i | \(0.768717\pi\) | |||||||
\(564\) | −266.702 | + | 177.093i | −0.472876 | + | 0.313994i | ||||
\(565\) | 713.145 | + | 518.130i | 1.26220 | + | 0.917045i | ||||
\(566\) | −895.558 | + | 290.984i | −1.58226 | + | 0.514107i | ||||
\(567\) | −35.9779 | − | 245.479i | −0.0634531 | − | 0.432943i | ||||
\(568\) | −8.68589 | − | 6.31067i | −0.0152921 | − | 0.0111103i | ||||
\(569\) | −529.905 | − | 729.352i | −0.931292 | − | 1.28181i | −0.959354 | − | 0.282207i | \(-0.908934\pi\) |
0.0280618 | − | 0.999606i | \(-0.491066\pi\) | |||||||
\(570\) | 1182.60 | + | 440.168i | 2.07473 | + | 0.772225i | ||||
\(571\) | −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 | ||||
\(576\) | 665.221 | + | 574.832i | 1.15490 | + | 0.997972i | ||||
\(577\) | −243.227 | − | 748.576i | −0.421538 | − | 1.29736i | −0.906271 | − | 0.422697i | \(-0.861083\pi\) |
0.484733 | − | 0.874662i | \(-0.338917\pi\) | |||||||
\(578\) | 839.238 | − | 272.685i | 1.45197 | − | 0.471773i | ||||
\(579\) | −555.671 | + | 700.694i | −0.959709 | + | 1.21018i | ||||
\(580\) | 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 | ||||||
\(585\) | 894.632 | + | 376.638i | 1.52929 | + | 0.643826i | ||||
\(586\) | −841.024 | + | 611.040i | −1.43519 | + | 1.04273i | ||||
\(587\) | 107.287 | − | 147.667i | 0.182771 | − | 0.251563i | −0.707794 | − | 0.706419i | \(-0.750309\pi\) |
0.890565 | + | 0.454856i | \(0.150309\pi\) | |||||||
\(588\) | 614.230 | − | 171.317i | 1.04461 | − | 0.291355i | ||||
\(589\) | −132.934 | − | 409.128i | −0.225694 | − | 0.694615i | ||||
\(590\) | 519.809 | − | 715.456i | 0.881033 | − | 1.21264i | ||||
\(591\) | −145.298 | + | 96.4791i | −0.245851 | + | 0.163247i | ||||
\(592\) | −103.360 | + | 318.109i | −0.174595 | + | 0.537347i | ||||
\(593\) | 685.071i | 1.15526i | 0.816297 | + | 0.577632i | \(0.196023\pi\) | ||||
−0.816297 | + | 0.577632i | \(0.803977\pi\) | |||||||
\(594\) | −908.375 | − | 30.7652i | −1.52925 | − | 0.0517932i | ||||
\(595\) | −16.3837 | −0.0275357 | ||||||||
\(596\) | 1325.11 | + | 430.556i | 2.22335 | + | 0.722409i | ||||
\(597\) | −207.518 | − | 312.523i | −0.347602 | − | 0.523489i | ||||
\(598\) | 1098.87 | + | 798.373i | 1.83757 | + | 1.33507i | ||||
\(599\) | −343.213 | + | 111.517i | −0.572977 | + | 0.186171i | −0.581152 | − | 0.813795i | \(-0.697398\pi\) |
0.00817505 | + | 0.999967i | \(0.497398\pi\) | |||||||
\(600\) | −64.2476 | − | 230.349i | −0.107079 | − | 0.383915i | ||||
\(601\) | 339.372 | + | 246.568i | 0.564679 | + | 0.410264i | 0.833169 | − | 0.553019i | \(-0.186524\pi\) |
−0.268489 | + | 0.963283i | \(0.586524\pi\) | |||||||
\(602\) | −239.186 | − | 329.211i | −0.397318 | − | 0.546862i | ||||
\(603\) | −252.468 | + | 599.689i | −0.418686 | + | 0.994510i | ||||
\(604\) | −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 | −0.273836 | − | 0.961776i | \(-0.588293\pi\) |
0.786856 | − | 0.617137i | \(-0.211707\pi\) | |||||||
\(608\) | −526.406 | − | 724.536i | −0.865800 | − | 1.19167i | ||||
\(609\) | 27.2344 | + | 21.5977i | 0.0447199 | + | 0.0354642i | ||||
\(610\) | −66.8970 | − | 205.888i | −0.109667 | − | 0.337521i | ||||
\(611\) | 307.297 | − | 99.8468i | 0.502941 | − | 0.163415i | ||||
\(612\) | 25.4352 | − | 29.4348i | 0.0415608 | − | 0.0480960i | ||||
\(613\) | 446.778 | − | 324.603i | 0.728838 | − | 0.529532i | −0.160358 | − | 0.987059i | \(-0.551265\pi\) |
0.889196 | + | 0.457527i | \(0.151265\pi\) | |||||||
\(614\) | 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 | \(0.815598\pi\) | |||||||
\(618\) | 479.628 | − | 1288.61i | 0.776097 | − | 2.08514i | ||||
\(619\) | 217.722 | − | 158.184i | 0.351732 | − | 0.255548i | −0.397863 | − | 0.917445i | \(-0.630248\pi\) |
0.749595 | + | 0.661896i | \(0.230248\pi\) | |||||||
\(620\) | −435.082 | + | 598.838i | −0.701744 | + | 0.965868i | ||||
\(621\) | 137.644 | + | 724.750i | 0.221650 | + | 1.16707i | ||||
\(622\) | 82.3072 | + | 253.316i | 0.132327 | + | 0.407260i | ||||
\(623\) | 33.3805 | − | 45.9443i | 0.0535802 | − | 0.0737469i | ||||
\(624\) | −233.880 | − | 352.224i | −0.374807 | − | 0.564461i | ||||
\(625\) | −228.038 | + | 701.828i | −0.364860 | + | 1.12292i | ||||
\(626\) | 1832.83i | 2.92784i | ||||||||
\(627\) | 659.544 | + | 178.067i | 1.05190 | + | 0.283999i | ||||
\(628\) | 41.0719 | 0.0654011 | ||||||||
\(629\) | 29.5404 | + | 9.59826i | 0.0469641 | + | 0.0152596i | ||||
\(630\) | 479.249 | − | 289.889i | 0.760712 | − | 0.460142i | ||||
\(631\) | −75.5208 | − | 54.8691i | −0.119684 | − | 0.0869558i | 0.526333 | − | 0.850279i | \(-0.323567\pi\) |
−0.646017 | + | 0.763323i | \(0.723567\pi\) | |||||||
\(632\) | 390.342 | − | 126.830i | 0.617630 | − | 0.200680i | ||||
\(633\) | −139.841 | + | 39.0034i | −0.220917 | + | 0.0616168i | ||||
\(634\) | −6.07783 | − | 4.41580i | −0.00958649 | − | 0.00696499i | ||||
\(635\) | −572.322 | − | 787.734i | −0.901295 | − | 1.24053i | ||||
\(636\) | −99.2390 | + | 266.625i | −0.156036 | + | 0.419222i | ||||
\(637\) | −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 | \(-0.203667\pi\) |
−0.815735 | + | 0.578425i | \(0.803667\pi\) | |||||||
\(642\) | −118.378 | + | 149.273i | −0.184389 | + | 0.232512i | ||||
\(643\) | −134.744 | − | 414.698i | −0.209555 | − | 0.644943i | −0.999496 | − | 0.0317599i | \(-0.989889\pi\) |
0.789941 | − | 0.613183i | \(-0.210111\pi\) | |||||||
\(644\) | 427.023 | − | 138.748i | 0.663079 | − | 0.215448i | ||||
\(645\) | 677.506 | + | 537.283i | 1.05040 | + | 0.832997i | ||||
\(646\) | −41.2922 | + | 30.0005i | −0.0639198 | + | 0.0464405i | ||||
\(647\) | 298.985 | + | 97.1462i | 0.462110 | + | 0.150149i | 0.530814 | − | 0.847488i | \(-0.321886\pi\) |
−0.0687036 | + | 0.997637i | \(0.521886\pi\) | |||||||
\(648\) | −56.7948 | + | 333.596i | −0.0876462 | + | 0.514809i | ||||
\(649\) | 244.390 | − | 411.709i | 0.376564 | − | 0.634375i | ||||
\(650\) | 948.550i | 1.45931i | ||||||||
\(651\) | −178.952 | − | 66.6068i | −0.274888 | − | 0.102315i | ||||
\(652\) | 1139.59 | − | 827.958i | 1.74783 | − | 1.26987i | ||||
\(653\) | 112.807 | − | 155.266i | 0.172752 | − | 0.237773i | −0.713858 | − | 0.700291i | \(-0.753054\pi\) |
0.886610 | + | 0.462517i | \(0.153054\pi\) | |||||||
\(654\) | 260.940 | + | 935.557i | 0.398990 | + | 1.43052i | ||||
\(655\) | −306.656 | − | 943.789i | −0.468177 | − | 1.44090i | ||||
\(656\) | −68.1931 | + | 93.8598i | −0.103953 | + | 0.143079i | ||||
\(657\) | −350.223 | + | 211.844i | −0.533064 | + | 0.322441i | ||||
\(658\) | 57.6135 | − | 177.316i | 0.0875586 | − | 0.269478i | ||||
\(659\) | − | 127.678i | − | 0.193745i | −0.995297 | − | 0.0968724i | \(-0.969116\pi\) | ||
0.995297 | − | 0.0968724i | \(-0.0308839\pi\) | |||||||
\(660\) | −419.175 | − | 1098.22i | −0.635113 | − | 1.66396i | ||||
\(661\) | 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 | ||||
\(663\) | −32.7084 | + | 21.7186i | −0.0493339 | + | 0.0327581i | ||||
\(664\) | 107.820 | + | 78.3355i | 0.162379 | + | 0.117975i | ||||
\(665\) | −400.388 | + | 130.094i | −0.602088 | + | 0.195630i | ||||
\(666\) | −1033.93 | + | 241.917i | −1.55245 | + | 0.363238i | ||||
\(667\) | −83.6135 | − | 60.7488i | −0.125358 | − | 0.0910776i | ||||
\(668\) | −504.590 | − | 694.508i | −0.755374 | − | 1.03968i | ||||
\(669\) | −595.254 | − | 221.556i | −0.889767 | − | 0.331175i | ||||
\(670\) | −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 | 0.743692 | + | 0.668522i | \(0.233073\pi\) |
−0.994607 | + | 0.103714i | \(0.966927\pi\) | |||||||
\(674\) | 1064.66 | + | 1465.37i | 1.57961 | + | 2.17415i | ||||
\(675\) | −352.967 | + | 375.261i | −0.522914 | + | 0.555943i | ||||
\(676\) | −157.319 | − | 484.177i | −0.232720 | − | 0.716238i | ||||
\(677\) | 27.7389 | − | 9.01292i | 0.0409733 | − | 0.0133130i | −0.288459 | − | 0.957492i | \(-0.593143\pi\) |
0.329432 | + | 0.944179i | \(0.393143\pi\) | |||||||
\(678\) | 757.388 | − | 955.055i | 1.11709 | − | 1.40864i | ||||
\(679\) | −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 | \(0.980775\pi\) | |||||||
\(684\) | 387.865 | − | 921.299i | 0.567054 | − | 1.34693i | ||||
\(685\) | −817.553 | + | 593.987i | −1.19351 | + | 0.867134i | ||||
\(686\) | −488.251 | + | 672.019i | −0.711735 | + | 0.979620i | ||||
\(687\) | 933.212 | − | 260.286i | 1.35839 | − | 0.378873i | ||||
\(688\) | −116.386 | − | 358.200i | −0.169166 | − | 0.520640i | ||||
\(689\) | 168.772 | − | 232.294i | 0.244952 | − | 0.337147i | ||||
\(690\) | −1387.41 | + | 921.249i | −2.01073 | + | 1.33514i | ||||
\(691\) | 299.041 | − | 920.352i | 0.432765 | − | 1.33191i | −0.462595 | − | 0.886570i | \(-0.653082\pi\) |
0.895360 | − | 0.445344i | \(-0.146918\pi\) | |||||||
\(692\) | − | 888.061i | − | 1.28333i | ||||||
\(693\) | 243.834 | − | 180.268i | 0.351852 | − | 0.260126i | ||||
\(694\) | −901.554 | −1.29907 | ||||||||
\(695\) | −706.172 | − | 229.449i | −1.01607 | − | 0.330143i | ||||
\(696\) | −26.2251 | − | 39.4952i | −0.0376798 | − | 0.0567459i | ||||
\(697\) | 8.71606 | + | 6.33259i | 0.0125051 | + | 0.00908549i | ||||
\(698\) | 1199.14 | − | 389.624i | 1.71796 | − | 0.558201i | ||||
\(699\) | 324.333 | + | 1162.84i | 0.463996 | + | 1.66358i | ||||
\(700\) | 253.674 | + | 184.305i | 0.362392 | + | 0.263293i | ||||
\(701\) | 184.624 | + | 254.112i | 0.263372 | + | 0.362500i | 0.920138 | − | 0.391594i | \(-0.128076\pi\) |
−0.656766 | + | 0.754094i | \(0.728076\pi\) | |||||||
\(702\) | 572.485 | − | 1214.04i | 0.815506 | − | 1.72940i | ||||
\(703\) | 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 | ||||
\(708\) | −548.910 | − | 435.302i | −0.775296 | − | 0.614834i | ||||
\(709\) | 101.157 | + | 311.330i | 0.142676 | + | 0.439111i | 0.996705 | − | 0.0811142i | \(-0.0258478\pi\) |
−0.854029 | + | 0.520226i | \(0.825848\pi\) | |||||||
\(710\) | −49.6596 | + | 16.1354i | −0.0699432 | + | 0.0227259i | ||||
\(711\) | −669.008 | − | 578.103i | −0.940939 | − | 0.813085i | ||||
\(712\) | −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 | ||||||||
\(717\) | −0.336383 | + | 0.903758i | −0.000469153 | + | 0.00126047i | ||||
\(718\) | 690.192 | − | 501.454i | 0.961270 | − | 0.698404i | ||||
\(719\) | 650.211 | − | 894.939i | 0.904327 | − | 1.24470i | −0.0647402 | − | 0.997902i | \(-0.520622\pi\) |
0.969067 | − | 0.246797i | \(-0.0793781\pi\) | |||||||
\(720\) | 504.774 | − | 118.106i | 0.701075 | − | 0.164036i | ||||
\(721\) | 141.757 | + | 436.282i | 0.196611 | + | 0.605107i | ||||
\(722\) | −121.532 | + | 167.275i | −0.168327 | + | 0.231682i | ||||
\(723\) | 482.581 | + | 726.770i | 0.667471 | + | 1.00521i | ||||
\(724\) | −471.975 | + | 1452.59i | −0.651899 | + | 2.00634i | ||||
\(725\) | − | 72.1759i | − | 0.0995530i | ||||||
\(726\) | −490.420 | − | 996.758i | −0.675510 | − | 1.37294i | ||||
\(727\) | 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 | ||||
\(729\) | 678.241 | − | 267.263i | 0.930372 | − | 0.366616i | ||||
\(730\) | −747.563 | − | 543.136i | −1.02406 | − | 0.744023i | ||||
\(731\) | −33.2634 | + | 10.8079i | −0.0455040 | + | 0.0147851i | ||||
\(732\) | −165.188 | + | 46.0732i | −0.225667 | + | 0.0629416i | ||||
\(733\) | −501.026 | − | 364.016i | −0.683527 | − | 0.496612i | 0.190999 | − | 0.981590i | \(-0.438827\pi\) |
−0.874526 | + | 0.484979i | \(0.838827\pi\) | |||||||
\(734\) | −317.281 | − | 436.700i | −0.432263 | − | 0.594959i | ||||
\(735\) | 275.263 | − | 739.548i | 0.374507 | − | 1.00619i | ||||
\(736\) | 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 | 0.387070 | + | 0.922050i | \(0.373487\pi\) |
−0.855114 | + | 0.518440i | \(0.826513\pi\) | |||||||
\(740\) | −807.217 | − | 1111.04i | −1.09083 | − | 1.50140i | ||||
\(741\) | −626.877 | + | 790.483i | −0.845988 | + | 1.06678i | ||||
\(742\) | −51.1981 | − | 157.572i | −0.0690002 | − | 0.212361i | ||||
\(743\) | 1092.36 | − | 354.930i | 1.47020 | − | 0.477698i | 0.539034 | − | 0.842284i | \(-0.318790\pi\) |
0.931170 | + | 0.364586i | \(0.118790\pi\) | |||||||
\(744\) | 204.061 | + | 161.827i | 0.274276 | + | 0.217509i | ||||
\(745\) | 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 | ||||||
\(750\) | 338.147 | + | 125.860i | 0.450863 | + | 0.167813i | ||||
\(751\) | 221.394 | − | 160.852i | 0.294799 | − | 0.214184i | −0.430548 | − | 0.902568i | \(-0.641680\pi\) |
0.725346 | + | 0.688384i | \(0.241680\pi\) | |||||||
\(752\) | 101.430 | − | 139.606i | 0.134880 | − | 0.185646i | ||||
\(753\) | 90.7704 | + | 325.443i | 0.120545 | + | 0.432195i | ||||
\(754\) | 58.1099 | + | 178.844i | 0.0770689 | + | 0.237194i | ||||
\(755\) | −343.489 | + | 472.772i | −0.454952 | + | 0.626188i | ||||
\(756\) | −213.439 | − | 388.991i | −0.282327 | − | 0.514538i | ||||
\(757\) | −172.433 | + | 530.695i | −0.227785 | + | 0.701051i | 0.770212 | + | 0.637788i | \(0.220150\pi\) |
−0.997997 | + | 0.0632624i | \(0.979850\pi\) | |||||||
\(758\) | − | 162.899i | − | 0.214906i | ||||||
\(759\) | −701.781 | + | 566.088i | −0.924613 | + | 0.745834i | ||||
\(760\) | 574.212 | 0.755543 | ||||||||
\(761\) | 401.113 | + | 130.329i | 0.527086 | + | 0.171261i | 0.560459 | − | 0.828182i | \(-0.310625\pi\) |
−0.0333725 | + | 0.999443i | \(0.510625\pi\) | |||||||
\(762\) | −1121.65 | + | 744.788i | −1.47199 | + | 0.977412i | ||||
\(763\) | −262.156 | − | 190.468i | −0.343586 | − | 0.249630i | ||||
\(764\) | −701.310 | + | 227.870i | −0.917945 | + | 0.298259i | ||||
\(765\) | −10.9676 | − | 46.8746i | −0.0143367 | − | 0.0612740i | ||||
\(766\) | 221.993 | + | 161.287i | 0.289808 | + | 0.210558i | ||||
\(767\) | 415.598 | + | 572.021i | 0.541848 | + | 0.745790i | ||||
\(768\) | −15.3340 | − | 5.70738i | −0.0199661 | − | 0.00743148i | ||||
\(769\) | −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 | −0.994779 | − | 0.102053i | \(-0.967459\pi\) |
0.210346 | − | 0.977627i | \(-0.432541\pi\) | |||||||
\(774\) | 781.772 | − | 904.702i | 1.01004 | − | 1.16887i | ||||
\(775\) | 122.524 | + | 377.089i | 0.158095 | + | 0.486567i | ||||
\(776\) | 251.515 | − | 81.7222i | 0.324117 | − | 0.105312i | ||||
\(777\) | 220.127 | − | 277.577i | 0.283304 | − | 0.357242i | ||||
\(778\) | 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 | ||||||
\(783\) | −43.5608 | + | 92.3769i | −0.0556332 | + | 0.117978i | ||||
\(784\) | −278.072 | + | 202.031i | −0.354683 | + | 0.257692i | ||||
\(785\) | 29.8748 | − | 41.1191i | 0.0380570 | − | 0.0523810i | ||||
\(786\) | −1321.77 | + | 368.660i | −1.68164 | + | 0.469033i | ||||
\(787\) | 64.0985 | + | 197.275i | 0.0814467 | + | 0.250667i | 0.983485 | − | 0.180988i | \(-0.0579296\pi\) |
−0.902039 | + | 0.431655i | \(0.857930\pi\) | |||||||
\(788\) | −183.340 | + | 252.346i | −0.232665 | + | 0.320236i | ||||
\(789\) | 945.519 | − | 627.833i | 1.19838 | − | 0.795732i | ||||
\(790\) | 616.825 | − | 1898.39i | 0.780791 | − | 2.40303i | ||||
\(791\) | 406.668i | 0.514119i | ||||||||
\(792\) | −392.278 | + | 131.070i | −0.495301 | + | 0.165492i | ||||
\(793\) | 173.082 | 0.218263 | ||||||||
\(794\) | −615.536 | − | 200.000i | −0.775234 | − | 0.251889i | ||||
\(795\) | 194.747 | + | 293.290i | 0.244965 | + | 0.368918i | ||||
\(796\) | −542.774 | − | 394.349i | −0.681877 | − | 0.495413i | ||||
\(797\) | −211.514 | + | 68.7252i | −0.265388 | + | 0.0862298i | −0.438689 | − | 0.898639i | \(-0.644557\pi\) |
0.173300 | + | 0.984869i | \(0.444557\pi\) | |||||||
\(798\) | 156.398 | + | 560.741i | 0.195988 | + | 0.702683i | ||||
\(799\) | −12.9641 | − | 9.41900i | −0.0162255 | − | 0.0117885i | ||||
\(800\) | 485.183 | + | 667.797i | 0.606479 | + | 0.834746i | ||||
\(801\) | 153.794 | + | 64.7471i | 0.192003 | + | 0.0808328i | ||||
\(802\) | 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 | ||||
\(807\) | 472.828 | + | 374.967i | 0.585909 | + | 0.464643i | ||||
\(808\) | −194.112 | − | 597.415i | −0.240237 | − | 0.739375i | ||||
\(809\) | −715.778 | + | 232.570i | −0.884769 | + | 0.287479i | −0.715936 | − | 0.698166i | \(-0.754000\pi\) |
−0.168833 | + | 0.985645i | \(0.554000\pi\) | |||||||
\(810\) | 1150.21 | + | 1177.09i | 1.42001 | + | 1.45320i | ||||
\(811\) | −187.891 | + | 136.511i | −0.231678 | + | 0.168324i | −0.697568 | − | 0.716519i | \(-0.745734\pi\) |
0.465890 | + | 0.884843i | \(0.345734\pi\) | |||||||
\(812\) | 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 | ||||||
\(816\) | −7.31441 | + | 19.6516i | −0.00896373 | + | 0.0240828i | ||||
\(817\) | −727.077 | + | 528.252i | −0.889935 | + | 0.646576i | ||||
\(818\) | 277.540 | − | 382.001i | 0.339291 | − | 0.466994i | ||||
\(819\) | 102.023 | + | 436.037i | 0.124570 | + | 0.532401i | ||||
\(820\) | −147.199 | − | 453.033i | −0.179511 | − | 0.552480i | ||||
\(821\) | 285.054 | − | 392.343i | 0.347204 | − | 0.477885i | −0.599324 | − | 0.800506i | \(-0.704564\pi\) |
0.946528 | + | 0.322621i | \(0.104564\pi\) | |||||||
\(822\) | 772.981 | + | 1164.11i | 0.940367 | + | 1.41620i | ||||
\(823\) | 48.4819 | − | 149.212i | 0.0589088 | − | 0.181302i | −0.917272 | − | 0.398261i | \(-0.869614\pi\) |
0.976181 | + | 0.216959i | \(0.0696137\pi\) | |||||||
\(824\) | − | 625.689i | − | 0.759331i | ||||||
\(825\) | −607.894 | − | 164.123i | −0.736842 | − | 0.198937i | ||||
\(826\) | 407.986 | 0.493930 | ||||||||
\(827\) | 150.007 | + | 48.7401i | 0.181386 | + | 0.0589360i | 0.398302 | − | 0.917254i | \(-0.369600\pi\) |
−0.216916 | + | 0.976190i | \(0.569600\pi\) | |||||||
\(828\) | 682.823 | + | 1128.85i | 0.824666 | + | 1.36335i | ||||
\(829\) | −1057.08 | − | 768.011i | −1.27512 | − | 0.926431i | −0.275728 | − | 0.961236i | \(-0.588919\pi\) |
−0.999394 | + | 0.0348051i | \(0.988919\pi\) | |||||||
\(830\) | 616.434 | − | 200.292i | 0.742692 | − | 0.241315i | ||||
\(831\) | 632.599 | − | 176.441i | 0.761251 | − | 0.212323i | ||||
\(832\) | −1283.81 | − | 932.745i | −1.54304 | − | 1.12109i | ||||
\(833\) | 18.7611 | + | 25.8224i | 0.0225223 | + | 0.0309993i | ||||
\(834\) | −358.152 | + | 962.245i | −0.429439 | + | 1.15377i | ||||
\(835\) | −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 | 0.970764 | + | 0.240035i | \(0.0771589\pi\) |
−0.0716959 | + | 0.997427i | \(0.522841\pi\) | |||||||
\(840\) | 158.370 | − | 199.702i | 0.188536 | − | 0.237741i | ||||
\(841\) | 255.462 | + | 786.230i | 0.303759 | + | 0.934875i | ||||
\(842\) | −1271.56 | + | 413.154i | −1.51016 | + | 0.490682i | ||||
\(843\) | −1166.91 | − | 925.398i | −1.38424 | − | 1.09774i | ||||
\(844\) | −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 | ||||||
\(849\) | 865.123 | + | 322.002i | 1.01899 | + | 0.379273i | ||||
\(850\) | 38.0586 | − | 27.6512i | 0.0447748 | − | 0.0325308i | ||||
\(851\) | −619.160 | + | 852.200i | −0.727567 | + | 1.00141i | ||||
\(852\) | 11.1128 | + | 39.8430i | 0.0130431 | + | 0.0467641i | ||||
\(853\) | 153.468 | + | 472.325i | 0.179915 | + | 0.553723i | 0.999824 | − | 0.0187721i | \(-0.00597570\pi\) |
−0.819908 | + | 0.572495i | \(0.805976\pi\) | |||||||
\(854\) | 58.7033 | − | 80.7982i | 0.0687392 | − | 0.0946114i | ||||
\(855\) | −640.234 | − | 1058.44i | −0.748811 | − | 1.23794i | ||||
\(856\) | −26.7900 | + | 82.4511i | −0.0312967 | + | 0.0963214i | ||||
\(857\) | − | 479.970i | − | 0.560059i | −0.959991 | − | 0.280029i | \(-0.909656\pi\) | ||
0.959991 | − | 0.280029i | \(-0.0903442\pi\) | |||||||
\(858\) | 1638.43 | − | 82.7474i | 1.90960 | − | 0.0964421i | ||||
\(859\) | 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 | ||||
\(861\) | 102.368 | − | 67.9732i | 0.118894 | − | 0.0789468i | ||||
\(862\) | 24.0996 | + | 17.5094i | 0.0279578 | + | 0.0203125i | ||||
\(863\) | −512.443 | + | 166.503i | −0.593793 | + | 0.192935i | −0.590470 | − | 0.807060i | \(-0.701058\pi\) |
−0.00332255 | + | 0.999994i | \(0.501058\pi\) | |||||||
\(864\) | −217.939 | − | 1147.53i | −0.252244 | − | 1.32816i | ||||
\(865\) | −889.082 | − | 645.956i | −1.02784 | − | 0.746770i | ||||
\(866\) | −106.622 | − | 146.752i | −0.123120 | − | 0.169460i | ||||
\(867\) | −810.717 | − | 301.752i | −0.935083 | − | 0.348042i | ||||
\(868\) | −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 | ||||
\(873\) | −431.072 | − | 372.498i | −0.493782 | − | 0.426687i | ||||
\(874\) | −534.893 | − | 1646.23i | −0.612005 | − | 1.88356i | ||||
\(875\) | −114.486 | + | 37.1986i | −0.130841 | + | 0.0425127i | ||||
\(876\) | −454.837 | + | 573.543i | −0.519220 | + | 0.654729i | ||||
\(877\) | −68.5357 | + | 49.7941i | −0.0781479 | + | 0.0567777i | −0.626173 | − | 0.779684i | \(-0.715380\pi\) |
0.548025 | + | 0.836462i | \(0.315380\pi\) | |||||||
\(878\) | −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 | \(-0.0663701\pi\) | |||||||
\(882\) | −1005.69 | − | 423.391i | −1.14023 | − | 0.480035i | ||||
\(883\) | −180.241 | + | 130.953i | −0.204123 | + | 0.148304i | −0.685151 | − | 0.728401i | \(-0.740264\pi\) |
0.481027 | + | 0.876706i | \(0.340264\pi\) | |||||||
\(884\) | −41.2721 | + | 56.8062i | −0.0466879 | + | 0.0642604i | ||||
\(885\) | −835.067 | + | 232.912i | −0.943578 | + | 0.263177i | ||||
\(886\) | 506.266 | + | 1558.13i | 0.571406 | + | 1.75861i | ||||
\(887\) | −801.425 | + | 1103.07i | −0.903523 | + | 1.24359i | 0.0658073 | + | 0.997832i | \(0.479038\pi\) |
−0.969331 | + | 0.245761i | \(0.920962\pi\) | |||||||
\(888\) | −402.540 | + | 267.290i | −0.453311 | + | 0.301003i | ||||
\(889\) | 138.811 | − | 427.217i | 0.156143 | − | 0.480559i | ||||
\(890\) | 376.714i | 0.423274i | ||||||||
\(891\) | 678.981 | + | 576.945i | 0.762044 | + | 0.647525i | ||||
\(892\) | −1135.89 | −1.27342 | ||||||||
\(893\) | −391.611 | − | 127.242i | −0.438534 | − | 0.142488i | ||||
\(894\) | −1318.86 | − | 1986.21i | −1.47524 | − | 2.22171i | ||||
\(895\) | 314.422 | + | 228.441i | 0.351309 | + | 0.255241i | ||||
\(896\) | −366.760 | + | 119.167i | −0.409330 | + | 0.132999i | ||||
\(897\) | −357.728 | − | 1282.58i | −0.398805 | − | 1.42985i | ||||
\(898\) | 1904.91 | + | 1384.00i | 2.12129 | + | 1.54120i | ||||
\(899\) | 46.2024 | + | 63.5921i | 0.0513931 | + | 0.0707365i | ||||
\(900\) | −357.491 | + | 849.151i | −0.397212 | + | 0.943502i | ||||
\(901\) | −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 | ||||
\(906\) | 633.143 | + | 502.102i | 0.698834 | + | 0.554196i | ||||
\(907\) | 203.099 | + | 625.073i | 0.223924 | + | 0.689166i | 0.998399 | + | 0.0565619i | \(0.0180138\pi\) |
−0.774476 | + | 0.632604i | \(0.781986\pi\) | |||||||
\(908\) | −619.376 | + | 201.248i | −0.682132 | + | 0.221638i | ||||
\(909\) | −884.781 | + | 1023.91i | −0.973357 | + | 1.12641i | ||||
\(910\) | −817.887 | + | 594.230i | −0.898777 | + | 0.653000i | ||||
\(911\) | −331.388 | − | 107.674i | −0.363763 | − | 0.118194i | 0.121432 | − | 0.992600i | \(-0.461251\pi\) |
−0.485195 | + | 0.874406i | \(0.661251\pi\) | |||||||
\(912\) | −22.7085 | + | 538.329i | −0.0248996 | + | 0.590273i | ||||
\(913\) | 322.273 | − | 138.837i | 0.352982 | − | 0.152067i | ||||
\(914\) | − | 519.188i | − | 0.568039i | ||||||
\(915\) | −74.0280 | + | 198.891i | −0.0809049 | + | 0.217367i | ||||
\(916\) | 1401.74 | − | 1018.42i | 1.53028 | − | 1.11182i | ||||
\(917\) | 269.096 | − | 370.379i | 0.293453 | − | 0.403903i | ||||
\(918\) | −65.3991 | + | 12.4206i | −0.0712409 | + | 0.0135301i | ||||
\(919\) | 197.588 | + | 608.115i | 0.215004 | + | 0.661714i | 0.999153 | + | 0.0411417i | \(0.0130995\pi\) |
−0.784150 | + | 0.620572i | \(0.786901\pi\) | |||||||
\(920\) | −445.453 | + | 613.114i | −0.484188 | + | 0.666428i | ||||
\(921\) | −657.376 | − | 990.010i | −0.713763 | − | 1.07493i | ||||
\(922\) | 251.884 | − | 775.220i | 0.273193 | − | 0.840803i | ||||
\(923\) | − | 41.7471i | − | 0.0452298i | ||||||
\(924\) | 296.221 | − | 454.250i | 0.320586 | − | 0.491613i | ||||
\(925\) | −735.627 | −0.795272 | ||||||||
\(926\) | 2051.44 | + | 666.554i | 2.21538 | + | 0.719821i | ||||
\(927\) | −1153.33 | + | 697.629i | −1.24415 | + | 0.752566i | ||||
\(928\) | 132.389 | + | 96.1863i | 0.142661 | + | 0.103649i | ||||
\(929\) | 299.056 | − | 97.1692i | 0.321912 | − | 0.104595i | −0.143604 | − | 0.989635i | \(-0.545869\pi\) |
0.465515 | + | 0.885040i | \(0.345869\pi\) | |||||||
\(930\) | 1220.06 | − | 340.291i | 1.31189 | − | 0.365904i | ||||
\(931\) | 663.529 | + | 482.082i | 0.712706 | + | 0.517811i | ||||
\(932\) | 1269.02 | + | 1746.66i | 1.36161 | + | 1.87410i | ||||
\(933\) | 91.0809 | − | 244.707i | 0.0976215 | − | 0.262279i | ||||
\(934\) | −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 | −0.305556 | − | 0.952174i | \(-0.598842\pi\) |
0.806874 | − | 0.590724i | \(-0.201158\pi\) | |||||||
\(938\) | −398.324 | − | 548.245i | −0.424652 | − | 0.584483i | ||||
\(939\) | 1116.42 | − | 1407.79i | 1.18895 | − | 1.49925i | ||||
\(940\) | 218.942 | + | 673.835i | 0.232917 | + | 0.716846i | ||||
\(941\) | 1067.37 | − | 346.811i | 1.13430 | − | 0.368556i | 0.319090 | − | 0.947724i | \(-0.396623\pi\) |
0.815208 | + | 0.579169i | \(0.196623\pi\) | |||||||
\(942\) | −55.0673 | − | 43.6701i | −0.0584579 | − | 0.0463589i | ||||
\(943\) | −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 | \(0.848967\pi\) | |||||||
\(948\) | −1481.93 | − | 551.582i | −1.56322 | − | 0.581838i | ||||
\(949\) | 597.691 | − | 434.248i | 0.629812 | − | 0.457585i | ||||
\(950\) | 710.520 | − | 977.947i | 0.747916 | − | 1.02942i | ||||
\(951\) | 1.97859 | + | 7.09393i | 0.00208054 | + | 0.00745945i | ||||
\(952\) | 3.18575 | + | 9.80474i | 0.00334638 | + | 0.0102991i | ||||
\(953\) | −298.122 | + | 410.330i | −0.312825 | + | 0.430567i | −0.936260 | − | 0.351309i | \(-0.885737\pi\) |
0.623435 | + | 0.781875i | \(0.285737\pi\) | |||||||
\(954\) | 416.547 | − | 251.962i | 0.436632 | − | 0.264111i | ||||
\(955\) | −281.986 | + | 867.863i | −0.295273 | + | 0.908757i | ||||
\(956\) | 1.72460i | 0.00180397i | ||||||||
\(957\) | −124.670 | + | 6.29631i | −0.130271 | + | 0.00657921i | ||||
\(958\) | 2141.59 | 2.23548 | ||||||||
\(959\) | −443.388 | − | 144.066i | −0.462345 | − | 0.150225i | ||||
\(960\) | 1620.92 | − | 1076.30i | 1.68845 | − | 1.12115i | ||||
\(961\) | 428.125 | + | 311.051i | 0.445500 | + | 0.323674i | ||||
\(962\) | 1822.80 | − | 592.265i | 1.89481 | − | 0.615660i | ||||
\(963\) | 181.852 | − | 42.5493i | 0.188839 | − | 0.0441841i | ||||
\(964\) | 1262.22 | + | 917.054i | 1.30935 | + | 0.951301i | ||||
\(965\) | 1163.31 | + | 1601.16i | 1.20550 | + | 1.65924i | ||||
\(966\) | −720.059 | − | 268.009i | −0.745402 | − | 0.277442i | ||||
\(967\) | −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 | −0.997321 | − | 0.0731450i | \(-0.976696\pi\) |
0.238624 | − | 0.971112i | \(-0.423304\pi\) | |||||||
\(972\) | 970.041 | − | 871.058i | 0.997985 | − | 0.896150i | ||||
\(973\) | −105.854 | − | 325.784i | −0.108791 | − | 0.334825i | ||||
\(974\) | −1901.55 | + | 617.851i | −1.95231 | + | 0.634344i | ||||
\(975\) | 577.786 | − | 728.580i | 0.592601 | − | 0.747262i | ||||
\(976\) | 74.7833 | − | 54.3333i | 0.0766223 | − | 0.0556693i | ||||
\(977\) | 1085.77 | + | 352.788i | 1.11133 | + | 0.361093i | 0.806453 | − | 0.591298i | \(-0.201384\pi\) |
0.304878 | + | 0.952391i | \(0.401384\pi\) | |||||||
\(978\) | −2408.24 | − | 101.587i | −2.46241 | − | 0.103873i | ||||
\(979\) | 18.8627 | + | 203.076i | 0.0192673 | + | 0.207432i | ||||
\(980\) | − | 1411.24i | − | 1.44004i | ||||||
\(981\) | 369.444 | − | 877.545i | 0.376600 | − | 0.894541i | ||||
\(982\) | −153.097 | + | 111.231i | −0.155903 | + | 0.113270i | ||||
\(983\) | −391.031 | + | 538.208i | −0.397793 | + | 0.547515i | −0.960188 | − | 0.279353i | \(-0.909880\pi\) |
0.562395 | + | 0.826869i | \(0.309880\pi\) | |||||||
\(984\) | −161.440 | + | 45.0279i | −0.164065 | + | 0.0457600i | ||||
\(985\) | 119.279 | + | 367.102i | 0.121095 | + | 0.372692i | ||||
\(986\) | 5.48178 | − | 7.54502i | 0.00555961 | − | 0.00765215i | ||||
\(987\) | −152.261 | + | 101.102i | −0.154266 | + | 0.102434i | ||||
\(988\) | −557.549 | + | 1715.96i | −0.564321 | + | 1.73680i | ||||
\(989\) | − | 1186.13i | − | 1.19933i | ||||||
\(990\) | −605.678 | + | 1918.13i | −0.611796 | + | 1.93750i | ||||
\(991\) | −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 | ||||
\(993\) | 610.818 | + | 919.894i | 0.615124 | + | 0.926379i | ||||
\(994\) | −19.4883 | − | 14.1591i | −0.0196060 | − | 0.0142446i | ||||
\(995\) | −789.604 | + | 256.558i | −0.793572 | + | 0.257847i | ||||
\(996\) | −137.945 | − | 494.579i | −0.138499 | − | 0.496565i | ||||
\(997\) | −502.232 | − | 364.893i | −0.503743 | − | 0.365991i | 0.306702 | − | 0.951806i | \(-0.400775\pi\) |
−0.810445 | + | 0.585815i | \(0.800775\pi\) | |||||||
\(998\) | 593.582 | + | 816.996i | 0.594772 | + | 0.818633i | ||||
\(999\) | 941.518 | + | 443.978i | 0.942461 | + | 0.444422i |
(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.20.1 | yes | 16 | |
3.2 | odd | 2 | inner | 33.3.h.b.20.4 | yes | 16 | |
11.2 | odd | 10 | 363.3.h.n.245.1 | 16 | |||
11.3 | even | 5 | 363.3.h.o.323.1 | 16 | |||
11.4 | even | 5 | 363.3.b.m.122.2 | 8 | |||
11.5 | even | 5 | inner | 33.3.h.b.5.4 | yes | 16 | |
11.6 | odd | 10 | 363.3.h.j.269.1 | 16 | |||
11.7 | odd | 10 | 363.3.b.l.122.7 | 8 | |||
11.8 | odd | 10 | 363.3.h.n.323.4 | 16 | |||
11.9 | even | 5 | 363.3.h.o.245.4 | 16 | |||
11.10 | odd | 2 | 363.3.h.j.251.4 | 16 | |||
33.2 | even | 10 | 363.3.h.n.245.4 | 16 | |||
33.5 | odd | 10 | inner | 33.3.h.b.5.1 | ✓ | 16 | |
33.8 | even | 10 | 363.3.h.n.323.1 | 16 | |||
33.14 | odd | 10 | 363.3.h.o.323.4 | 16 | |||
33.17 | even | 10 | 363.3.h.j.269.4 | 16 | |||
33.20 | odd | 10 | 363.3.h.o.245.1 | 16 | |||
33.26 | odd | 10 | 363.3.b.m.122.7 | 8 | |||
33.29 | even | 10 | 363.3.b.l.122.2 | 8 | |||
33.32 | even | 2 | 363.3.h.j.251.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.3.h.b.5.1 | ✓ | 16 | 33.5 | odd | 10 | inner | |
33.3.h.b.5.4 | yes | 16 | 11.5 | even | 5 | inner | |
33.3.h.b.20.1 | yes | 16 | 1.1 | even | 1 | trivial | |
33.3.h.b.20.4 | yes | 16 | 3.2 | odd | 2 | inner | |
363.3.b.l.122.2 | 8 | 33.29 | even | 10 | |||
363.3.b.l.122.7 | 8 | 11.7 | odd | 10 | |||
363.3.b.m.122.2 | 8 | 11.4 | even | 5 | |||
363.3.b.m.122.7 | 8 | 33.26 | odd | 10 | |||
363.3.h.j.251.1 | 16 | 33.32 | even | 2 | |||
363.3.h.j.251.4 | 16 | 11.10 | odd | 2 | |||
363.3.h.j.269.1 | 16 | 11.6 | odd | 10 | |||
363.3.h.j.269.4 | 16 | 33.17 | even | 10 | |||
363.3.h.n.245.1 | 16 | 11.2 | odd | 10 | |||
363.3.h.n.245.4 | 16 | 33.2 | even | 10 | |||
363.3.h.n.323.1 | 16 | 33.8 | even | 10 | |||
363.3.h.n.323.4 | 16 | 11.8 | odd | 10 | |||
363.3.h.o.245.1 | 16 | 33.20 | odd | 10 | |||
363.3.h.o.245.4 | 16 | 11.9 | even | 5 | |||
363.3.h.o.323.1 | 16 | 11.3 | even | 5 | |||
363.3.h.o.323.4 | 16 | 33.14 | odd | 10 |