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: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Root | \(-0.951057 + 0.309017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.5 |
Dual form | 33.3.h.a.20.1 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.951057 | + | 0.309017i | −0.475528 | + | 0.154508i | −0.536969 | − | 0.843602i | \(-0.680431\pi\) |
0.0614403 | + | 0.998111i | \(0.480431\pi\) | |||||||
\(3\) | 0.303706 | + | 2.98459i | 0.101235 | + | 0.994862i | ||||
\(4\) | −2.42705 | + | 1.76336i | −0.606763 | + | 0.440839i | ||||
\(5\) | 4.16750 | + | 1.35410i | 0.833499 | + | 0.270820i | 0.694519 | − | 0.719475i | \(-0.255617\pi\) |
0.138981 | + | 0.990295i | \(0.455617\pi\) | |||||||
\(6\) | −1.21113 | − | 2.74466i | −0.201855 | − | 0.457444i | ||||
\(7\) | 1.73607 | − | 1.26133i | 0.248010 | − | 0.180190i | −0.456835 | − | 0.889552i | \(-0.651017\pi\) |
0.704844 | + | 0.709362i | \(0.251017\pi\) | |||||||
\(8\) | 4.11450 | − | 5.66312i | 0.514312 | − | 0.707890i | ||||
\(9\) | −8.81553 | + | 1.81288i | −0.979503 | + | 0.201431i | ||||
\(10\) | −4.38197 | −0.438197 | ||||||||
\(11\) | 9.06154 | − | 6.23607i | 0.823776 | − | 0.566915i | ||||
\(12\) | −6.00000 | − | 6.70820i | −0.500000 | − | 0.559017i | ||||
\(13\) | −2.70820 | − | 8.33499i | −0.208323 | − | 0.641153i | −0.999561 | − | 0.0296440i | \(-0.990563\pi\) |
0.791237 | − | 0.611509i | \(-0.209437\pi\) | |||||||
\(14\) | −1.26133 | + | 1.73607i | −0.0900948 | + | 0.124005i | ||||
\(15\) | −2.77574 | + | 12.8495i | −0.185049 | + | 0.856634i | ||||
\(16\) | 1.54508 | − | 4.75528i | 0.0965678 | − | 0.297205i | ||||
\(17\) | −5.70634 | − | 1.85410i | −0.335667 | − | 0.109065i | 0.136334 | − | 0.990663i | \(-0.456468\pi\) |
−0.472001 | + | 0.881598i | \(0.656468\pi\) | |||||||
\(18\) | 7.82385 | − | 4.44829i | 0.434659 | − | 0.247127i | ||||
\(19\) | 25.1803 | + | 18.2946i | 1.32528 | + | 0.962873i | 0.999850 | + | 0.0173072i | \(0.00550933\pi\) |
0.325431 | + | 0.945566i | \(0.394491\pi\) | |||||||
\(20\) | −12.5025 | + | 4.06231i | −0.625125 | + | 0.203115i | ||||
\(21\) | 4.29180 | + | 4.79837i | 0.204371 | + | 0.228494i | ||||
\(22\) | −6.69098 | + | 8.73102i | −0.304136 | + | 0.396865i | ||||
\(23\) | 26.4721i | 1.15096i | 0.817815 | + | 0.575481i | \(0.195185\pi\) | ||||
−0.817815 | + | 0.575481i | \(0.804815\pi\) | |||||||
\(24\) | 18.1517 | + | 10.5602i | 0.756320 | + | 0.440006i | ||||
\(25\) | −4.69098 | − | 3.40820i | −0.187639 | − | 0.136328i | ||||
\(26\) | 5.15131 | + | 7.09017i | 0.198127 | + | 0.272699i | ||||
\(27\) | −8.08802 | − | 25.7601i | −0.299556 | − | 0.954079i | ||||
\(28\) | −1.98936 | + | 6.12261i | −0.0710485 | + | 0.218665i | ||||
\(29\) | −27.8582 | − | 38.3435i | −0.960626 | − | 1.32219i | −0.946642 | − | 0.322286i | \(-0.895549\pi\) |
−0.0139836 | − | 0.999902i | \(-0.504451\pi\) | |||||||
\(30\) | −1.33083 | − | 13.0784i | −0.0443610 | − | 0.435945i | ||||
\(31\) | −9.51722 | − | 29.2910i | −0.307007 | − | 0.944871i | −0.978921 | − | 0.204241i | \(-0.934527\pi\) |
0.671913 | − | 0.740630i | \(-0.265473\pi\) | |||||||
\(32\) | 33.0000i | 1.03125i | ||||||||
\(33\) | 21.3641 | + | 25.1510i | 0.647398 | + | 0.762152i | ||||
\(34\) | 6.00000 | 0.176471 | ||||||||
\(35\) | 8.94302 | − | 2.90576i | 0.255515 | − | 0.0830218i | ||||
\(36\) | 18.1990 | − | 19.9448i | 0.505527 | − | 0.554024i | ||||
\(37\) | −23.9443 | + | 17.3965i | −0.647142 | + | 0.470177i | −0.862297 | − | 0.506404i | \(-0.830975\pi\) |
0.215154 | + | 0.976580i | \(0.430975\pi\) | |||||||
\(38\) | −29.6013 | − | 9.61803i | −0.778981 | − | 0.253106i | ||||
\(39\) | 24.0540 | − | 10.6143i | 0.616770 | − | 0.272161i | ||||
\(40\) | 24.8156 | − | 18.0296i | 0.620390 | − | 0.450740i | ||||
\(41\) | 25.6255 | − | 35.2705i | 0.625013 | − | 0.860256i | −0.372693 | − | 0.927955i | \(-0.621566\pi\) |
0.997706 | + | 0.0676984i | \(0.0215656\pi\) | |||||||
\(42\) | −5.56452 | − | 3.23729i | −0.132489 | − | 0.0770783i | ||||
\(43\) | −39.7082 | −0.923447 | −0.461723 | − | 0.887024i | \(-0.652769\pi\) | ||||
−0.461723 | + | 0.887024i | \(0.652769\pi\) | |||||||
\(44\) | −10.9964 | + | 31.1140i | −0.249918 | + | 0.707136i | ||||
\(45\) | −39.1935 | − | 4.38197i | −0.870967 | − | 0.0973770i | ||||
\(46\) | −8.18034 | − | 25.1765i | −0.177833 | − | 0.547315i | ||||
\(47\) | 2.52265 | − | 3.47214i | 0.0536735 | − | 0.0738752i | −0.781337 | − | 0.624110i | \(-0.785462\pi\) |
0.835010 | + | 0.550235i | \(0.185462\pi\) | |||||||
\(48\) | 14.6618 | + | 3.16723i | 0.305454 | + | 0.0659840i | ||||
\(49\) | −13.7188 | + | 42.2223i | −0.279976 | + | 0.861679i | ||||
\(50\) | 5.51458 | + | 1.79180i | 0.110292 | + | 0.0358359i | ||||
\(51\) | 3.80068 | − | 17.5942i | 0.0745231 | − | 0.344984i | ||||
\(52\) | 21.2705 | + | 15.4539i | 0.409048 | + | 0.297191i | ||||
\(53\) | −10.7189 | + | 3.48278i | −0.202243 | + | 0.0657128i | −0.408387 | − | 0.912809i | \(-0.633909\pi\) |
0.206144 | + | 0.978522i | \(0.433909\pi\) | |||||||
\(54\) | 15.6525 | + | 22.0000i | 0.289861 | + | 0.407407i | ||||
\(55\) | 46.2082 | − | 13.7186i | 0.840149 | − | 0.249428i | ||||
\(56\) | − | 15.0213i | − | 0.268237i | ||||||
\(57\) | −46.9544 | + | 80.7091i | −0.823761 | + | 1.41595i | ||||
\(58\) | 38.3435 | + | 27.8582i | 0.661094 | + | 0.480313i | ||||
\(59\) | 19.4499 | + | 26.7705i | 0.329660 | + | 0.453737i | 0.941386 | − | 0.337332i | \(-0.109525\pi\) |
−0.611726 | + | 0.791070i | \(0.709525\pi\) | |||||||
\(60\) | −15.9214 | − | 36.0810i | −0.265357 | − | 0.601351i | ||||
\(61\) | 8.45898 | − | 26.0341i | 0.138672 | − | 0.426788i | −0.857471 | − | 0.514532i | \(-0.827966\pi\) |
0.996143 | + | 0.0877439i | \(0.0279657\pi\) | |||||||
\(62\) | 18.1028 | + | 24.9164i | 0.291981 | + | 0.401878i | ||||
\(63\) | −13.0177 | + | 14.2665i | −0.206631 | + | 0.226453i | ||||
\(64\) | −4.01722 | − | 12.3637i | −0.0627691 | − | 0.193183i | ||||
\(65\) | − | 38.4033i | − | 0.590819i | ||||||
\(66\) | −28.0906 | − | 17.3182i | −0.425615 | − | 0.262396i | ||||
\(67\) | 70.7902 | 1.05657 | 0.528285 | − | 0.849067i | \(-0.322835\pi\) | ||||
0.528285 | + | 0.849067i | \(0.322835\pi\) | |||||||
\(68\) | 17.1190 | − | 5.56231i | 0.251750 | − | 0.0817986i | ||||
\(69\) | −79.0084 | + | 8.03975i | −1.14505 | + | 0.116518i | ||||
\(70\) | −7.60739 | + | 5.52709i | −0.108677 | + | 0.0789585i | ||||
\(71\) | 83.8645 | + | 27.2492i | 1.18119 | + | 0.383792i | 0.832809 | − | 0.553561i | \(-0.186731\pi\) |
0.348381 | + | 0.937353i | \(0.386731\pi\) | |||||||
\(72\) | −26.0049 | + | 57.3824i | −0.361179 | + | 0.796978i | ||||
\(73\) | −50.1418 | + | 36.4302i | −0.686874 | + | 0.499043i | −0.875631 | − | 0.482980i | \(-0.839554\pi\) |
0.188757 | + | 0.982024i | \(0.439554\pi\) | |||||||
\(74\) | 17.3965 | − | 23.9443i | 0.235088 | − | 0.323571i | ||||
\(75\) | 8.74739 | − | 15.0357i | 0.116632 | − | 0.200477i | ||||
\(76\) | −93.3738 | −1.22860 | ||||||||
\(77\) | 7.86572 | − | 22.2558i | 0.102152 | − | 0.289036i | ||||
\(78\) | −19.5967 | + | 17.5279i | −0.251240 | + | 0.224716i | ||||
\(79\) | −19.4868 | − | 59.9743i | −0.246669 | − | 0.759169i | −0.995357 | − | 0.0962470i | \(-0.969316\pi\) |
0.748689 | − | 0.662922i | \(-0.230684\pi\) | |||||||
\(80\) | 12.8783 | − | 17.7254i | 0.160978 | − | 0.221568i | ||||
\(81\) | 74.4270 | − | 31.9629i | 0.918851 | − | 0.394604i | ||||
\(82\) | −13.4721 | + | 41.4630i | −0.164294 | + | 0.505646i | ||||
\(83\) | −104.793 | − | 34.0492i | −1.26256 | − | 0.410231i | −0.400154 | − | 0.916448i | \(-0.631043\pi\) |
−0.862406 | + | 0.506217i | \(0.831043\pi\) | |||||||
\(84\) | −18.8776 | − | 4.07793i | −0.224734 | − | 0.0485468i | ||||
\(85\) | −21.2705 | − | 15.4539i | −0.250241 | − | 0.181811i | ||||
\(86\) | 37.7647 | − | 12.2705i | 0.439125 | − | 0.142680i | ||||
\(87\) | 105.979 | − | 94.7902i | 1.21815 | − | 1.08954i | ||||
\(88\) | 1.96807 | − | 76.9748i | 0.0223644 | − | 0.874714i | ||||
\(89\) | − | 9.66563i | − | 0.108603i | −0.998525 | − | 0.0543013i | \(-0.982707\pi\) | ||
0.998525 | − | 0.0543013i | \(-0.0172931\pi\) | |||||||
\(90\) | 38.6293 | − | 7.94396i | 0.429215 | − | 0.0882662i | ||||
\(91\) | −15.2148 | − | 11.0542i | −0.167195 | − | 0.121475i | ||||
\(92\) | −46.6798 | − | 64.2492i | −0.507389 | − | 0.698361i | ||||
\(93\) | 84.5311 | − | 37.3008i | 0.908937 | − | 0.401084i | ||||
\(94\) | −1.32624 | + | 4.08174i | −0.0141089 | + | 0.0434228i | ||||
\(95\) | 80.1663 | + | 110.339i | 0.843855 | + | 1.16147i | ||||
\(96\) | −98.4914 | + | 10.0223i | −1.02595 | + | 0.104399i | ||||
\(97\) | 30.9590 | + | 95.2819i | 0.319165 | + | 0.982288i | 0.974006 | + | 0.226522i | \(0.0727354\pi\) |
−0.654841 | + | 0.755766i | \(0.727265\pi\) | |||||||
\(98\) | − | 44.3951i | − | 0.453011i | ||||||
\(99\) | −68.5770 | + | 71.4017i | −0.692697 | + | 0.721229i | ||||
\(100\) | 17.3951 | 0.173951 | ||||||||
\(101\) | −12.7550 | + | 4.14435i | −0.126287 | + | 0.0410331i | −0.371479 | − | 0.928441i | \(-0.621149\pi\) |
0.245192 | + | 0.969475i | \(0.421149\pi\) | |||||||
\(102\) | 1.82224 | + | 17.9075i | 0.0178651 | + | 0.175564i | ||||
\(103\) | −0.332816 | + | 0.241805i | −0.00323122 | + | 0.00234762i | −0.589400 | − | 0.807842i | \(-0.700636\pi\) |
0.586168 | + | 0.810189i | \(0.300636\pi\) | |||||||
\(104\) | −58.3450 | − | 18.9574i | −0.561009 | − | 0.182283i | ||||
\(105\) | 11.3886 | + | 25.8087i | 0.108462 | + | 0.245798i | ||||
\(106\) | 9.11803 | − | 6.62464i | 0.0860192 | − | 0.0624966i | ||||
\(107\) | −120.368 | + | 165.672i | −1.12493 | + | 1.54834i | −0.327583 | + | 0.944822i | \(0.606234\pi\) |
−0.797351 | + | 0.603516i | \(0.793766\pi\) | |||||||
\(108\) | 65.0543 | + | 48.2591i | 0.602355 | + | 0.446843i | ||||
\(109\) | 107.331 | 0.984690 | 0.492345 | − | 0.870400i | \(-0.336140\pi\) | ||||
0.492345 | + | 0.870400i | \(0.336140\pi\) | |||||||
\(110\) | −39.7073 | + | 27.3262i | −0.360976 | + | 0.248420i | ||||
\(111\) | −59.1935 | − | 66.1803i | −0.533275 | − | 0.596219i | ||||
\(112\) | −3.31559 | − | 10.2044i | −0.0296035 | − | 0.0911103i | ||||
\(113\) | −44.4751 | + | 61.2148i | −0.393585 | + | 0.541724i | −0.959120 | − | 0.283001i | \(-0.908670\pi\) |
0.565534 | + | 0.824725i | \(0.308670\pi\) | |||||||
\(114\) | 19.7158 | − | 91.2686i | 0.172945 | − | 0.800602i | ||||
\(115\) | −35.8460 | + | 110.323i | −0.311704 | + | 0.959327i | ||||
\(116\) | 135.226 | + | 43.9377i | 1.16574 | + | 0.378773i | ||||
\(117\) | 38.9845 | + | 68.5677i | 0.333201 | + | 0.586049i | ||||
\(118\) | −26.7705 | − | 19.4499i | −0.226869 | − | 0.164830i | ||||
\(119\) | −12.2452 | + | 3.97871i | −0.102901 | + | 0.0334346i | ||||
\(120\) | 61.3475 | + | 68.5886i | 0.511229 | + | 0.571572i | ||||
\(121\) | 43.2229 | − | 113.017i | 0.357214 | − | 0.934023i | ||||
\(122\) | 27.3738i | 0.224376i | ||||||||
\(123\) | 113.051 | + | 65.7697i | 0.919110 | + | 0.534713i | ||||
\(124\) | 74.7492 | + | 54.3085i | 0.602816 | + | 0.437972i | ||||
\(125\) | −79.3260 | − | 109.183i | −0.634608 | − | 0.873463i | ||||
\(126\) | 7.97199 | − | 17.5910i | 0.0632697 | − | 0.139611i | ||||
\(127\) | 23.0476 | − | 70.9332i | 0.181477 | − | 0.558529i | −0.818393 | − | 0.574659i | \(-0.805135\pi\) |
0.999870 | + | 0.0161301i | \(0.00513458\pi\) | |||||||
\(128\) | −69.9464 | − | 96.2730i | −0.546457 | − | 0.752133i | ||||
\(129\) | −12.0596 | − | 118.513i | −0.0934855 | − | 0.918702i | ||||
\(130\) | 11.8673 | + | 36.5237i | 0.0912866 | + | 0.280951i | ||||
\(131\) | 8.00813i | 0.0611308i | 0.999533 | + | 0.0305654i | \(0.00973078\pi\) | ||||
−0.999533 | + | 0.0305654i | \(0.990269\pi\) | |||||||
\(132\) | −96.2020 | − | 23.3702i | −0.728803 | − | 0.177047i | ||||
\(133\) | 66.7902 | 0.502182 | ||||||||
\(134\) | −67.3255 | + | 21.8754i | −0.502429 | + | 0.163249i | ||||
\(135\) | 1.17505 | − | 118.307i | 0.00870410 | − | 0.876350i | ||||
\(136\) | −33.9787 | + | 24.6870i | −0.249843 | + | 0.181522i | ||||
\(137\) | 31.1449 | + | 10.1196i | 0.227335 | + | 0.0738656i | 0.420469 | − | 0.907307i | \(-0.361865\pi\) |
−0.193135 | + | 0.981172i | \(0.561865\pi\) | |||||||
\(138\) | 72.6570 | − | 32.0612i | 0.526500 | − | 0.232328i | ||||
\(139\) | −172.790 | + | 125.539i | −1.24310 | + | 0.903162i | −0.997801 | − | 0.0662870i | \(-0.978885\pi\) |
−0.245295 | + | 0.969449i | \(0.578885\pi\) | |||||||
\(140\) | −16.5813 | + | 22.8222i | −0.118438 | + | 0.163016i | ||||
\(141\) | 11.1290 | + | 6.47457i | 0.0789294 | + | 0.0459190i | ||||
\(142\) | −88.1803 | −0.620988 | ||||||||
\(143\) | −76.5181 | − | 58.6393i | −0.535091 | − | 0.410065i | ||||
\(144\) | −5.00000 | + | 44.7214i | −0.0347222 | + | 0.310565i | ||||
\(145\) | −64.1778 | − | 197.519i | −0.442606 | − | 1.36220i | ||||
\(146\) | 36.4302 | − | 50.1418i | 0.249522 | − | 0.343437i | ||||
\(147\) | −130.183 | − | 28.1219i | −0.885596 | − | 0.191306i | ||||
\(148\) | 27.4377 | − | 84.4445i | 0.185390 | − | 0.570571i | ||||
\(149\) | 110.315 | + | 35.8435i | 0.740368 | + | 0.240560i | 0.654831 | − | 0.755775i | \(-0.272740\pi\) |
0.0855365 | + | 0.996335i | \(0.472740\pi\) | |||||||
\(150\) | −3.67296 | + | 17.0029i | −0.0244864 | + | 0.113353i | ||||
\(151\) | −0.364745 | − | 0.265003i | −0.00241553 | − | 0.00175499i | 0.586577 | − | 0.809894i | \(-0.300475\pi\) |
−0.588992 | + | 0.808139i | \(0.700475\pi\) | |||||||
\(152\) | 207.209 | − | 67.3262i | 1.36322 | − | 0.442936i | ||||
\(153\) | 53.6656 | + | 6.00000i | 0.350756 | + | 0.0392157i | ||||
\(154\) | −0.603326 | + | 23.5972i | −0.00391770 | + | 0.153228i | ||||
\(155\) | − | 134.957i | − | 0.870693i | ||||||
\(156\) | −39.6636 | + | 68.1772i | −0.254254 | + | 0.437033i | ||||
\(157\) | −33.9787 | − | 24.6870i | −0.216425 | − | 0.157242i | 0.474291 | − | 0.880368i | \(-0.342704\pi\) |
−0.690716 | + | 0.723126i | \(0.742704\pi\) | |||||||
\(158\) | 37.0662 | + | 51.0172i | 0.234596 | + | 0.322894i | ||||
\(159\) | −13.6501 | − | 30.9337i | −0.0858494 | − | 0.194552i | ||||
\(160\) | −44.6854 | + | 137.527i | −0.279284 | + | 0.859546i | ||||
\(161\) | 33.3900 | + | 45.9574i | 0.207391 | + | 0.285450i | ||||
\(162\) | −60.9072 | + | 53.3977i | −0.375970 | + | 0.329616i | ||||
\(163\) | −3.46401 | − | 10.6611i | −0.0212516 | − | 0.0654056i | 0.939868 | − | 0.341537i | \(-0.110947\pi\) |
−0.961120 | + | 0.276131i | \(0.910947\pi\) | |||||||
\(164\) | 130.790i | 0.797501i | ||||||||
\(165\) | 54.9779 | + | 133.746i | 0.333200 | + | 0.810582i | ||||
\(166\) | 110.185 | 0.663767 | ||||||||
\(167\) | 56.2809 | − | 18.2868i | 0.337011 | − | 0.109502i | −0.135622 | − | 0.990761i | \(-0.543303\pi\) |
0.472634 | + | 0.881259i | \(0.343303\pi\) | |||||||
\(168\) | 44.8323 | − | 4.56206i | 0.266859 | − | 0.0271551i | ||||
\(169\) | 74.5861 | − | 54.1900i | 0.441338 | − | 0.320651i | ||||
\(170\) | 25.0050 | + | 8.12461i | 0.147088 | + | 0.0477918i | ||||
\(171\) | −255.144 | − | 115.628i | −1.49207 | − | 0.676185i | ||||
\(172\) | 96.3738 | − | 70.0197i | 0.560313 | − | 0.407091i | ||||
\(173\) | 20.6910 | − | 28.4787i | 0.119601 | − | 0.164617i | −0.745019 | − | 0.667044i | \(-0.767559\pi\) |
0.864620 | + | 0.502427i | \(0.167559\pi\) | |||||||
\(174\) | −71.5000 | + | 122.900i | −0.410919 | + | 0.706322i | ||||
\(175\) | −12.4427 | −0.0711013 | ||||||||
\(176\) | −15.6534 | − | 52.7254i | −0.0889399 | − | 0.299576i | ||||
\(177\) | −73.9919 | + | 66.1803i | −0.418033 | + | 0.373900i | ||||
\(178\) | 2.98684 | + | 9.19256i | 0.0167800 | + | 0.0516436i | ||||
\(179\) | −6.56095 | + | 9.03038i | −0.0366534 | + | 0.0504490i | −0.826950 | − | 0.562275i | \(-0.809926\pi\) |
0.790297 | + | 0.612724i | \(0.209926\pi\) | |||||||
\(180\) | 102.852 | − | 58.4768i | 0.571398 | − | 0.324871i | ||||
\(181\) | −82.1885 | + | 252.950i | −0.454080 | + | 1.39751i | 0.418132 | + | 0.908386i | \(0.362685\pi\) |
−0.872212 | + | 0.489128i | \(0.837315\pi\) | |||||||
\(182\) | 17.8860 | + | 5.81153i | 0.0982750 | + | 0.0319315i | ||||
\(183\) | 80.2700 | + | 17.3399i | 0.438634 | + | 0.0947533i | ||||
\(184\) | 149.915 | + | 108.920i | 0.814755 | + | 0.591954i | ||||
\(185\) | −123.344 | + | 40.0770i | −0.666726 | + | 0.216633i | ||||
\(186\) | −68.8673 | + | 61.5967i | −0.370254 | + | 0.331165i | ||||
\(187\) | −63.2705 | + | 18.7841i | −0.338345 | + | 0.100450i | ||||
\(188\) | 12.8754i | 0.0684861i | ||||||||
\(189\) | −46.5333 | − | 34.5197i | −0.246208 | − | 0.182644i | ||||
\(190\) | −110.339 | − | 80.1663i | −0.580734 | − | 0.421928i | ||||
\(191\) | 145.721 | + | 200.567i | 0.762936 | + | 1.05009i | 0.996964 | + | 0.0778610i | \(0.0248090\pi\) |
−0.234029 | + | 0.972230i | \(0.575191\pi\) | |||||||
\(192\) | 35.6806 | − | 15.7447i | 0.185836 | − | 0.0820036i | ||||
\(193\) | −7.62868 | + | 23.4787i | −0.0395268 | + | 0.121651i | −0.968873 | − | 0.247559i | \(-0.920372\pi\) |
0.929346 | + | 0.369210i | \(0.120372\pi\) | |||||||
\(194\) | −58.8875 | − | 81.0517i | −0.303544 | − | 0.417792i | ||||
\(195\) | 114.618 | − | 11.6633i | 0.587784 | − | 0.0598118i | ||||
\(196\) | −41.1565 | − | 126.667i | −0.209982 | − | 0.646259i | ||||
\(197\) | − | 219.395i | − | 1.11368i | −0.830620 | − | 0.556840i | \(-0.812013\pi\) | ||
0.830620 | − | 0.556840i | \(-0.187987\pi\) | |||||||
\(198\) | 43.1563 | − | 89.0985i | 0.217961 | − | 0.449992i | ||||
\(199\) | 19.8146 | 0.0995710 | 0.0497855 | − | 0.998760i | \(-0.484146\pi\) | ||||
0.0497855 | + | 0.998760i | \(0.484146\pi\) | |||||||
\(200\) | −38.6021 | + | 12.5426i | −0.193010 | + | 0.0627129i | ||||
\(201\) | 21.4994 | + | 211.280i | 0.106962 | + | 1.05114i | ||||
\(202\) | 10.8500 | − | 7.88301i | 0.0537131 | − | 0.0390248i | ||||
\(203\) | −96.7273 | − | 31.4286i | −0.476489 | − | 0.154821i | ||||
\(204\) | 21.8003 | + | 49.4039i | 0.106864 | + | 0.242176i | ||||
\(205\) | 154.554 | − | 112.290i | 0.753923 | − | 0.547757i | ||||
\(206\) | 0.241805 | − | 0.332816i | 0.00117381 | − | 0.00161561i | ||||
\(207\) | −47.9907 | − | 233.366i | −0.231839 | − | 1.12737i | ||||
\(208\) | −43.8197 | −0.210671 | ||||||||
\(209\) | 342.259 | + | 8.75078i | 1.63760 | + | 0.0418697i | ||||
\(210\) | −18.8065 | − | 21.0263i | −0.0895548 | − | 0.100125i | ||||
\(211\) | 61.5755 | + | 189.510i | 0.291827 | + | 0.898151i | 0.984269 | + | 0.176677i | \(0.0565348\pi\) |
−0.692442 | + | 0.721474i | \(0.743465\pi\) | |||||||
\(212\) | 19.8739 | − | 27.3541i | 0.0937449 | − | 0.129029i | ||||
\(213\) | −55.8575 | + | 258.577i | −0.262242 | + | 1.21397i | ||||
\(214\) | 63.2812 | − | 194.759i | 0.295706 | − | 0.910090i | ||||
\(215\) | −165.484 | − | 53.7690i | −0.769692 | − | 0.250088i | ||||
\(216\) | −179.161 | − | 60.1866i | −0.829448 | − | 0.278641i | ||||
\(217\) | −53.4681 | − | 38.8468i | −0.246397 | − | 0.179018i | ||||
\(218\) | −102.078 | + | 33.1672i | −0.468248 | + | 0.152143i | ||||
\(219\) | −123.957 | − | 138.589i | −0.566016 | − | 0.632825i | ||||
\(220\) | −87.9590 | + | 114.777i | −0.399814 | + | 0.521714i | ||||
\(221\) | 52.5836i | 0.237935i | ||||||||
\(222\) | 76.7472 | + | 44.6494i | 0.345708 | + | 0.201124i | ||||
\(223\) | 34.7943 | + | 25.2795i | 0.156028 | + | 0.113361i | 0.663060 | − | 0.748566i | \(-0.269257\pi\) |
−0.507032 | + | 0.861927i | \(0.669257\pi\) | |||||||
\(224\) | 41.6238 | + | 57.2902i | 0.185821 | + | 0.255760i | ||||
\(225\) | 47.5321 | + | 21.5409i | 0.211254 | + | 0.0957373i | ||||
\(226\) | 23.3820 | − | 71.9623i | 0.103460 | − | 0.318417i | ||||
\(227\) | 45.0081 | + | 61.9483i | 0.198274 | + | 0.272900i | 0.896564 | − | 0.442915i | \(-0.146056\pi\) |
−0.698290 | + | 0.715815i | \(0.746056\pi\) | |||||||
\(228\) | −28.3582 | − | 278.682i | −0.124378 | − | 1.22229i | ||||
\(229\) | −45.3557 | − | 139.590i | −0.198060 | − | 0.609565i | −0.999927 | − | 0.0120631i | \(-0.996160\pi\) |
0.801868 | − | 0.597502i | \(-0.203840\pi\) | |||||||
\(230\) | − | 116.000i | − | 0.504348i | ||||||
\(231\) | 68.8133 | + | 16.7167i | 0.297893 | + | 0.0723667i | ||||
\(232\) | −331.766 | −1.43003 | ||||||||
\(233\) | −42.1991 | + | 13.7113i | −0.181112 | + | 0.0588468i | −0.398169 | − | 0.917312i | \(-0.630354\pi\) |
0.217057 | + | 0.976159i | \(0.430354\pi\) | |||||||
\(234\) | −58.2651 | − | 53.1649i | −0.248996 | − | 0.227200i | ||||
\(235\) | 15.2148 | − | 11.0542i | 0.0647438 | − | 0.0470391i | ||||
\(236\) | −94.4119 | − | 30.6763i | −0.400050 | − | 0.129984i | ||||
\(237\) | 173.080 | − | 76.3748i | 0.730297 | − | 0.322256i | ||||
\(238\) | 10.4164 | − | 7.56796i | 0.0437664 | − | 0.0317982i | ||||
\(239\) | 181.502 | − | 249.817i | 0.759424 | − | 1.04526i | −0.237838 | − | 0.971305i | \(-0.576439\pi\) |
0.997262 | − | 0.0739526i | \(-0.0235614\pi\) | |||||||
\(240\) | 56.8143 | + | 33.0530i | 0.236726 | + | 0.137721i | ||||
\(241\) | −5.35565 | −0.0222226 | −0.0111113 | − | 0.999938i | \(-0.503537\pi\) | ||||
−0.0111113 | + | 0.999938i | \(0.503537\pi\) | |||||||
\(242\) | −6.18334 | + | 120.842i | −0.0255510 | + | 0.499347i | ||||
\(243\) | 118.000 | + | 212.426i | 0.485597 | + | 0.874183i | ||||
\(244\) | 25.3769 | + | 78.1022i | 0.104004 | + | 0.320091i | ||||
\(245\) | −114.347 | + | 157.384i | −0.466720 | + | 0.642386i | ||||
\(246\) | −127.841 | − | 27.6162i | −0.519681 | − | 0.112261i | ||||
\(247\) | 84.2918 | − | 259.423i | 0.341262 | − | 1.05030i | ||||
\(248\) | −205.037 | − | 66.6205i | −0.826762 | − | 0.268631i | ||||
\(249\) | 69.7965 | − | 323.103i | 0.280307 | − | 1.29760i | ||||
\(250\) | 109.183 | + | 79.3260i | 0.436731 | + | 0.317304i | ||||
\(251\) | −266.154 | + | 86.4787i | −1.06037 | + | 0.344537i | −0.786732 | − | 0.617295i | \(-0.788229\pi\) |
−0.273643 | + | 0.961831i | \(0.588229\pi\) | |||||||
\(252\) | 6.43769 | − | 57.5805i | 0.0255464 | − | 0.228494i | ||||
\(253\) | 165.082 | + | 239.878i | 0.652498 | + | 0.948135i | ||||
\(254\) | 74.5836i | 0.293636i | ||||||||
\(255\) | 39.6636 | − | 68.1772i | 0.155544 | − | 0.267361i | ||||
\(256\) | 138.342 | + | 100.511i | 0.540398 | + | 0.392622i | ||||
\(257\) | −68.5570 | − | 94.3607i | −0.266759 | − | 0.367162i | 0.654533 | − | 0.756033i | \(-0.272865\pi\) |
−0.921292 | + | 0.388871i | \(0.872865\pi\) | |||||||
\(258\) | 48.0918 | + | 108.986i | 0.186402 | + | 0.422425i | ||||
\(259\) | −19.6262 | + | 60.4031i | −0.0757767 | + | 0.233217i | ||||
\(260\) | 67.7186 | + | 93.2067i | 0.260456 | + | 0.358487i | ||||
\(261\) | 315.096 | + | 287.514i | 1.20727 | + | 1.10159i | ||||
\(262\) | −2.47465 | − | 7.61618i | −0.00944522 | − | 0.0290694i | ||||
\(263\) | 435.580i | 1.65620i | 0.560581 | + | 0.828100i | \(0.310578\pi\) | ||||
−0.560581 | + | 0.828100i | \(0.689422\pi\) | |||||||
\(264\) | 230.336 | − | 17.5039i | 0.872484 | − | 0.0663025i | ||||
\(265\) | −49.3870 | −0.186366 | ||||||||
\(266\) | −63.5213 | + | 20.6393i | −0.238802 | + | 0.0775914i | ||||
\(267\) | 28.8479 | − | 2.93551i | 0.108045 | − | 0.0109944i | ||||
\(268\) | −171.812 | + | 124.828i | −0.641088 | + | 0.465778i | ||||
\(269\) | −142.416 | − | 46.2736i | −0.529426 | − | 0.172021i | 0.0320929 | − | 0.999485i | \(-0.489783\pi\) |
−0.561519 | + | 0.827464i | \(0.689783\pi\) | |||||||
\(270\) | 35.4414 | + | 112.880i | 0.131264 | + | 0.418074i | ||||
\(271\) | 11.1459 | − | 8.09797i | 0.0411288 | − | 0.0298818i | −0.567031 | − | 0.823696i | \(-0.691908\pi\) |
0.608160 | + | 0.793815i | \(0.291908\pi\) | |||||||
\(272\) | −17.6336 | + | 24.2705i | −0.0648293 | + | 0.0892298i | ||||
\(273\) | 28.3714 | − | 48.7671i | 0.103924 | − | 0.178634i | ||||
\(274\) | −32.7477 | −0.119517 | ||||||||
\(275\) | −63.7613 | − | 1.63023i | −0.231859 | − | 0.00592811i | ||||
\(276\) | 177.580 | − | 158.833i | 0.643408 | − | 0.575481i | ||||
\(277\) | 33.7245 | + | 103.793i | 0.121749 | + | 0.374705i | 0.993295 | − | 0.115609i | \(-0.0368821\pi\) |
−0.871546 | + | 0.490314i | \(0.836882\pi\) | |||||||
\(278\) | 125.539 | − | 172.790i | 0.451581 | − | 0.621548i | ||||
\(279\) | 137.000 | + | 240.962i | 0.491040 | + | 0.863663i | ||||
\(280\) | 20.3404 | − | 62.6012i | 0.0726441 | − | 0.223576i | ||||
\(281\) | 185.609 | + | 60.3081i | 0.660531 | + | 0.214619i | 0.620052 | − | 0.784561i | \(-0.287112\pi\) |
0.0404790 | + | 0.999180i | \(0.487112\pi\) | |||||||
\(282\) | −12.5851 | − | 2.71862i | −0.0446280 | − | 0.00964051i | ||||
\(283\) | −123.713 | − | 89.8829i | −0.437149 | − | 0.317607i | 0.347352 | − | 0.937735i | \(-0.387081\pi\) |
−0.784501 | + | 0.620127i | \(0.787081\pi\) | |||||||
\(284\) | −251.593 | + | 81.7477i | −0.885892 | + | 0.287844i | ||||
\(285\) | −304.971 | + | 272.774i | −1.07007 | + | 0.957102i | ||||
\(286\) | 90.8936 | + | 32.1239i | 0.317810 | + | 0.112321i | ||||
\(287\) | − | 93.5542i | − | 0.325973i | ||||||
\(288\) | −59.8249 | − | 290.912i | −0.207725 | − | 1.01011i | ||||
\(289\) | −204.681 | − | 148.710i | −0.708240 | − | 0.514566i | ||||
\(290\) | 122.073 | + | 168.020i | 0.420943 | + | 0.579378i | ||||
\(291\) | −274.975 | + | 121.338i | −0.944931 | + | 0.416967i | ||||
\(292\) | 57.4574 | − | 176.836i | 0.196772 | − | 0.605602i | ||||
\(293\) | −261.427 | − | 359.823i | −0.892242 | − | 1.22807i | −0.972877 | − | 0.231322i | \(-0.925695\pi\) |
0.0806357 | − | 0.996744i | \(-0.474305\pi\) | |||||||
\(294\) | 132.501 | − | 13.4831i | 0.450684 | − | 0.0458608i | ||||
\(295\) | 44.8075 | + | 137.903i | 0.151890 | + | 0.467468i | ||||
\(296\) | 207.177i | 0.699923i | ||||||||
\(297\) | −233.932 | − | 182.989i | −0.787649 | − | 0.616124i | ||||
\(298\) | −115.992 | −0.389234 | ||||||||
\(299\) | 220.645 | − | 71.6919i | 0.737944 | − | 0.239772i | ||||
\(300\) | 5.28301 | + | 51.9173i | 0.0176100 | + | 0.173058i | ||||
\(301\) | −68.9361 | + | 50.0850i | −0.229024 | + | 0.166395i | ||||
\(302\) | 0.428784 | + | 0.139320i | 0.00141981 | + | 0.000461325i | ||||
\(303\) | −16.2429 | − | 36.8097i | −0.0536070 | − | 0.121484i | ||||
\(304\) | 125.902 | − | 91.4729i | 0.414150 | − | 0.300898i | ||||
\(305\) | 70.5056 | − | 97.0426i | 0.231166 | − | 0.318172i | ||||
\(306\) | −52.8932 | + | 10.8773i | −0.172853 | + | 0.0355466i | ||||
\(307\) | 345.039 | 1.12391 | 0.561954 | − | 0.827169i | \(-0.310050\pi\) | ||||
0.561954 | + | 0.827169i | \(0.310050\pi\) | |||||||
\(308\) | 20.1544 | + | 67.8860i | 0.0654363 | + | 0.220409i | ||||
\(309\) | −0.822766 | − | 0.919880i | −0.00266267 | − | 0.00297696i | ||||
\(310\) | 41.7041 | + | 128.352i | 0.134529 | + | 0.414039i | ||||
\(311\) | 228.566 | − | 314.594i | 0.734938 | − | 1.01156i | −0.263956 | − | 0.964535i | \(-0.585027\pi\) |
0.998894 | − | 0.0470204i | \(-0.0149726\pi\) | |||||||
\(312\) | 38.8604 | − | 179.893i | 0.124552 | − | 0.576581i | ||||
\(313\) | 60.5000 | − | 186.200i | 0.193291 | − | 0.594888i | −0.806702 | − | 0.590959i | \(-0.798749\pi\) |
0.999992 | − | 0.00392865i | \(-0.00125053\pi\) | |||||||
\(314\) | 39.9444 | + | 12.9787i | 0.127211 | + | 0.0413335i | ||||
\(315\) | −73.5697 | + | 41.8284i | −0.233554 | + | 0.132789i | ||||
\(316\) | 153.052 | + | 111.199i | 0.484341 | + | 0.351894i | ||||
\(317\) | 527.197 | − | 171.297i | 1.66308 | − | 0.540369i | 0.681568 | − | 0.731754i | \(-0.261298\pi\) |
0.981515 | + | 0.191386i | \(0.0612982\pi\) | |||||||
\(318\) | 22.5410 | + | 25.2016i | 0.0708837 | + | 0.0792504i | ||||
\(319\) | −491.550 | − | 173.725i | −1.54091 | − | 0.544594i | ||||
\(320\) | − | 56.9656i | − | 0.178017i | ||||||
\(321\) | −531.020 | − | 308.933i | −1.65427 | − | 0.962408i | ||||
\(322\) | −45.9574 | − | 33.3900i | −0.142725 | − | 0.103696i | ||||
\(323\) | −109.768 | − | 151.082i | −0.339838 | − | 0.467746i | ||||
\(324\) | −124.276 | + | 208.817i | −0.383568 | + | 0.644496i | ||||
\(325\) | −15.7032 | + | 48.3294i | −0.0483175 | + | 0.148706i | ||||
\(326\) | 6.58893 | + | 9.06888i | 0.0202114 | + | 0.0278187i | ||||
\(327\) | 32.5972 | + | 320.340i | 0.0996855 | + | 0.979632i | ||||
\(328\) | −94.3050 | − | 290.241i | −0.287515 | − | 0.884880i | ||||
\(329\) | − | 9.20976i | − | 0.0279932i | ||||||
\(330\) | −93.6169 | − | 110.211i | −0.283688 | − | 0.333972i | ||||
\(331\) | −100.420 | −0.303382 | −0.151691 | − | 0.988428i | \(-0.548472\pi\) | ||||
−0.151691 | + | 0.988428i | \(0.548472\pi\) | |||||||
\(332\) | 314.378 | − | 102.147i | 0.946920 | − | 0.307673i | ||||
\(333\) | 179.544 | − | 196.768i | 0.539170 | − | 0.590894i | ||||
\(334\) | −47.8754 | + | 34.7835i | −0.143339 | + | 0.104142i | ||||
\(335\) | 295.018 | + | 95.8572i | 0.880651 | + | 0.286141i | ||||
\(336\) | 29.4488 | − | 12.9948i | 0.0876453 | − | 0.0386750i | ||||
\(337\) | −93.6018 | + | 68.0057i | −0.277750 | + | 0.201797i | −0.717935 | − | 0.696110i | \(-0.754913\pi\) |
0.440185 | + | 0.897907i | \(0.354913\pi\) | |||||||
\(338\) | −54.1900 | + | 74.5861i | −0.160325 | + | 0.220669i | ||||
\(339\) | −196.208 | − | 114.149i | −0.578785 | − | 0.336722i | ||||
\(340\) | 78.8754 | 0.231986 | ||||||||
\(341\) | −268.901 | − | 206.071i | −0.788567 | − | 0.604315i | ||||
\(342\) | 278.387 | + | 31.1246i | 0.813997 | + | 0.0910076i | ||||
\(343\) | 61.9321 | + | 190.607i | 0.180560 | + | 0.555707i | ||||
\(344\) | −163.379 | + | 224.872i | −0.474940 | + | 0.653698i | ||||
\(345\) | −340.154 | − | 73.4798i | −0.985954 | − | 0.212985i | ||||
\(346\) | −10.8779 | + | 33.4787i | −0.0314390 | + | 0.0967594i | ||||
\(347\) | 235.885 | + | 76.6438i | 0.679784 | + | 0.220875i | 0.628501 | − | 0.777809i | \(-0.283669\pi\) |
0.0512835 | + | 0.998684i | \(0.483669\pi\) | |||||||
\(348\) | −90.0668 | + | 416.939i | −0.258813 | + | 1.19810i | ||||
\(349\) | −411.143 | − | 298.713i | −1.17806 | − | 0.855910i | −0.186108 | − | 0.982529i | \(-0.559587\pi\) |
−0.991951 | + | 0.126619i | \(0.959587\pi\) | |||||||
\(350\) | 11.8337 | − | 3.84501i | 0.0338107 | − | 0.0109857i | ||||
\(351\) | −192.807 | + | 137.177i | −0.549306 | + | 0.390818i | ||||
\(352\) | 205.790 | + | 299.031i | 0.584631 | + | 0.849519i | ||||
\(353\) | 308.577i | 0.874157i | 0.899423 | + | 0.437078i | \(0.143987\pi\) | ||||
−0.899423 | + | 0.437078i | \(0.856013\pi\) | |||||||
\(354\) | 49.9196 | − | 85.8060i | 0.141016 | − | 0.242390i | ||||
\(355\) | 312.607 | + | 227.122i | 0.880583 | + | 0.639781i | ||||
\(356\) | 17.0439 | + | 23.4590i | 0.0478763 | + | 0.0658960i | ||||
\(357\) | −15.5938 | − | 35.3386i | −0.0436800 | − | 0.0989876i | ||||
\(358\) | 3.44930 | − | 10.6158i | 0.00963491 | − | 0.0296532i | ||||
\(359\) | 6.34235 | + | 8.72949i | 0.0176667 | + | 0.0243161i | 0.817759 | − | 0.575561i | \(-0.195216\pi\) |
−0.800092 | + | 0.599877i | \(0.795216\pi\) | |||||||
\(360\) | −186.077 | + | 203.928i | −0.516881 | + | 0.566466i | ||||
\(361\) | 187.802 | + | 577.996i | 0.520228 | + | 1.60110i | ||||
\(362\) | − | 265.967i | − | 0.734717i | ||||||
\(363\) | 350.435 | + | 94.6787i | 0.965387 | + | 0.260823i | ||||
\(364\) | 56.4195 | 0.154999 | ||||||||
\(365\) | −258.296 | + | 83.9255i | −0.707661 | + | 0.229933i | ||||
\(366\) | −81.6996 | + | 8.31360i | −0.223223 | + | 0.0227148i | ||||
\(367\) | 400.444 | − | 290.939i | 1.09113 | − | 0.792750i | 0.111538 | − | 0.993760i | \(-0.464422\pi\) |
0.979589 | + | 0.201010i | \(0.0644223\pi\) | |||||||
\(368\) | 125.882 | + | 40.9017i | 0.342072 | + | 0.111146i | ||||
\(369\) | −161.961 | + | 357.384i | −0.438920 | + | 0.968520i | ||||
\(370\) | 104.923 | − | 76.2310i | 0.283576 | − | 0.206030i | ||||
\(371\) | −14.2158 | + | 19.5664i | −0.0383175 | + | 0.0527395i | ||||
\(372\) | −139.387 | + | 239.589i | −0.374695 | + | 0.644058i | ||||
\(373\) | 356.472 | 0.955689 | 0.477845 | − | 0.878444i | \(-0.341418\pi\) | ||||
0.477845 | + | 0.878444i | \(0.341418\pi\) | |||||||
\(374\) | 54.3692 | − | 37.4164i | 0.145372 | − | 0.100044i | ||||
\(375\) | 301.774 | − | 269.915i | 0.804731 | − | 0.719773i | ||||
\(376\) | −9.28367 | − | 28.5722i | −0.0246906 | − | 0.0759899i | ||||
\(377\) | −244.147 | + | 336.039i | −0.647605 | + | 0.891351i | ||||
\(378\) | 54.9230 | + | 18.4506i | 0.145299 | + | 0.0488111i | ||||
\(379\) | 66.2392 | − | 203.863i | 0.174774 | − | 0.537898i | −0.824850 | − | 0.565352i | \(-0.808740\pi\) |
0.999623 | + | 0.0274547i | \(0.00874020\pi\) | |||||||
\(380\) | −389.135 | − | 126.438i | −1.02404 | − | 0.332731i | ||||
\(381\) | 218.706 | + | 47.2447i | 0.574032 | + | 0.124002i | ||||
\(382\) | −200.567 | − | 145.721i | −0.525045 | − | 0.381468i | ||||
\(383\) | −35.7066 | + | 11.6018i | −0.0932287 | + | 0.0302918i | −0.355260 | − | 0.934768i | \(-0.615608\pi\) |
0.262031 | + | 0.965059i | \(0.415608\pi\) | |||||||
\(384\) | 266.092 | − | 238.000i | 0.692948 | − | 0.619792i | ||||
\(385\) | 62.9170 | − | 82.1000i | 0.163421 | − | 0.213247i | ||||
\(386\) | − | 24.6869i | − | 0.0639557i | ||||||
\(387\) | 350.049 | − | 71.9860i | 0.904519 | − | 0.186010i | ||||
\(388\) | −243.155 | − | 176.662i | −0.626688 | − | 0.455316i | ||||
\(389\) | −227.209 | − | 312.726i | −0.584085 | − | 0.803924i | 0.410051 | − | 0.912063i | \(-0.365511\pi\) |
−0.994136 | + | 0.108139i | \(0.965511\pi\) | |||||||
\(390\) | −105.404 | + | 46.5113i | −0.270266 | + | 0.119260i | ||||
\(391\) | 49.0820 | − | 151.059i | 0.125530 | − | 0.386340i | ||||
\(392\) | 182.664 | + | 251.415i | 0.465979 | + | 0.641364i | ||||
\(393\) | −23.9010 | + | 2.43212i | −0.0608167 | + | 0.00618860i | ||||
\(394\) | 67.7968 | + | 208.657i | 0.172073 | + | 0.529587i | ||||
\(395\) | − | 276.330i | − | 0.699570i | ||||||
\(396\) | 40.5333 | − | 294.221i | 0.102357 | − | 0.742983i | ||||
\(397\) | −718.741 | −1.81043 | −0.905216 | − | 0.424952i | \(-0.860291\pi\) | ||||
−0.905216 | + | 0.424952i | \(0.860291\pi\) | |||||||
\(398\) | −18.8448 | + | 6.12306i | −0.0473488 | + | 0.0153846i | ||||
\(399\) | 20.2846 | + | 199.341i | 0.0508386 | + | 0.499602i | ||||
\(400\) | −23.4549 | + | 17.0410i | −0.0586373 | + | 0.0426025i | ||||
\(401\) | 314.878 | + | 102.310i | 0.785231 | + | 0.255137i | 0.674072 | − | 0.738666i | \(-0.264544\pi\) |
0.111159 | + | 0.993803i | \(0.464544\pi\) | |||||||
\(402\) | −85.7362 | − | 194.295i | −0.213274 | − | 0.483321i | ||||
\(403\) | −218.366 | + | 158.652i | −0.541850 | + | 0.393677i | ||||
\(404\) | 23.6490 | − | 32.5501i | 0.0585372 | − | 0.0805696i | ||||
\(405\) | 353.455 | − | 32.4236i | 0.872729 | − | 0.0800583i | ||||
\(406\) | 101.705 | 0.250505 | ||||||||
\(407\) | −108.486 | + | 306.957i | −0.266550 | + | 0.754195i | ||||
\(408\) | −84.0000 | − | 93.9149i | −0.205882 | − | 0.230183i | ||||
\(409\) | 168.159 | + | 517.541i | 0.411148 | + | 1.26538i | 0.915651 | + | 0.401973i | \(0.131675\pi\) |
−0.504504 | + | 0.863409i | \(0.668325\pi\) | |||||||
\(410\) | −112.290 | + | 154.554i | −0.273878 | + | 0.376961i | ||||
\(411\) | −20.7439 | + | 96.0280i | −0.0504718 | + | 0.233645i | ||||
\(412\) | 0.381373 | − | 1.17375i | 0.000925662 | − | 0.00284890i | ||||
\(413\) | 67.5327 | + | 21.9427i | 0.163518 | + | 0.0531301i | ||||
\(414\) | 117.756 | + | 207.114i | 0.284434 | + | 0.500276i | ||||
\(415\) | −390.616 | − | 283.799i | −0.941245 | − | 0.683854i | ||||
\(416\) | 275.055 | − | 89.3707i | 0.661189 | − | 0.214833i | ||||
\(417\) | −427.161 | − | 477.580i | −1.02437 | − | 1.14528i | ||||
\(418\) | −328.212 | + | 97.4413i | −0.785195 | + | 0.233113i | ||||
\(419\) | 117.592i | 0.280649i | 0.990106 | + | 0.140324i | \(0.0448145\pi\) | ||||
−0.990106 | + | 0.140324i | \(0.955186\pi\) | |||||||
\(420\) | −73.1506 | − | 42.5570i | −0.174168 | − | 0.101326i | ||||
\(421\) | −156.976 | − | 114.049i | −0.372864 | − | 0.270901i | 0.385534 | − | 0.922694i | \(-0.374017\pi\) |
−0.758397 | + | 0.651792i | \(0.774017\pi\) | |||||||
\(422\) | −117.123 | − | 161.207i | −0.277544 | − | 0.382006i | ||||
\(423\) | −15.9440 | + | 35.1820i | −0.0376926 | + | 0.0831725i | ||||
\(424\) | −24.3795 | + | 75.0322i | −0.0574987 | + | 0.176963i | ||||
\(425\) | 20.4492 | + | 28.1459i | 0.0481157 | + | 0.0662256i | ||||
\(426\) | −26.7809 | − | 263.182i | −0.0628660 | − | 0.617798i | ||||
\(427\) | −18.1521 | − | 55.8664i | −0.0425108 | − | 0.130835i | ||||
\(428\) | − | 614.346i | − | 1.43539i | ||||||
\(429\) | 151.775 | − | 246.184i | 0.353788 | − | 0.573856i | ||||
\(430\) | 174.000 | 0.404651 | ||||||||
\(431\) | −338.208 | + | 109.890i | −0.784705 | + | 0.254966i | −0.673848 | − | 0.738870i | \(-0.735360\pi\) |
−0.110858 | + | 0.993836i | \(0.535360\pi\) | |||||||
\(432\) | −134.993 | − | 1.34078i | −0.312485 | − | 0.00310366i | ||||
\(433\) | 488.953 | − | 355.245i | 1.12922 | − | 0.820427i | 0.143640 | − | 0.989630i | \(-0.454119\pi\) |
0.985581 | + | 0.169203i | \(0.0541193\pi\) | |||||||
\(434\) | 62.8555 | + | 20.4230i | 0.144828 | + | 0.0470576i | ||||
\(435\) | 570.022 | − | 251.532i | 1.31039 | − | 0.578235i | ||||
\(436\) | −260.498 | + | 189.263i | −0.597474 | + | 0.434090i | ||||
\(437\) | −484.297 | + | 666.577i | −1.10823 | + | 1.52535i | ||||
\(438\) | 160.717 | + | 93.5007i | 0.366933 | + | 0.213472i | ||||
\(439\) | 28.9424 | 0.0659279 | 0.0329640 | − | 0.999457i | \(-0.489505\pi\) | ||||
0.0329640 | + | 0.999457i | \(0.489505\pi\) | |||||||
\(440\) | 112.434 | − | 318.127i | 0.255531 | − | 0.723017i | ||||
\(441\) | 44.3951 | − | 397.082i | 0.100669 | − | 0.900413i | ||||
\(442\) | −16.2492 | − | 50.0100i | −0.0367629 | − | 0.113145i | ||||
\(443\) | 38.3805 | − | 52.8262i | 0.0866377 | − | 0.119247i | −0.763498 | − | 0.645810i | \(-0.776520\pi\) |
0.850136 | + | 0.526564i | \(0.176520\pi\) | |||||||
\(444\) | 260.365 | + | 56.2439i | 0.586408 | + | 0.126675i | ||||
\(445\) | 13.0883 | − | 40.2815i | 0.0294118 | − | 0.0905202i | ||||
\(446\) | −40.9032 | − | 13.2902i | −0.0917111 | − | 0.0297988i | ||||
\(447\) | −73.4746 | + | 340.130i | −0.164373 | + | 0.760918i | ||||
\(448\) | −22.5689 | − | 16.3973i | −0.0503770 | − | 0.0366010i | ||||
\(449\) | 269.464 | − | 87.5542i | 0.600143 | − | 0.194998i | 0.00683859 | − | 0.999977i | \(-0.497823\pi\) |
0.593304 | + | 0.804978i | \(0.297823\pi\) | |||||||
\(450\) | −51.8622 | − | 5.79837i | −0.115249 | − | 0.0128853i | ||||
\(451\) | 12.2574 | − | 479.408i | 0.0271782 | − | 1.06299i | ||||
\(452\) | − | 226.997i | − | 0.502206i | ||||||
\(453\) | 0.680149 | − | 1.16910i | 0.00150143 | − | 0.00258079i | ||||
\(454\) | −61.9483 | − | 45.0081i | −0.136450 | − | 0.0991368i | ||||
\(455\) | −48.4391 | − | 66.6707i | −0.106459 | − | 0.146529i | ||||
\(456\) | 263.872 | + | 597.986i | 0.578666 | + | 1.31137i | ||||
\(457\) | −218.323 | + | 671.928i | −0.477730 | + | 1.47030i | 0.364509 | + | 0.931200i | \(0.381237\pi\) |
−0.842240 | + | 0.539103i | \(0.818763\pi\) | |||||||
\(458\) | 86.2716 | + | 118.743i | 0.188366 | + | 0.259263i | ||||
\(459\) | −1.60894 | + | 161.992i | −0.00350531 | + | 0.352924i | ||||
\(460\) | −107.538 | − | 330.968i | −0.233778 | − | 0.719495i | ||||
\(461\) | 356.322i | 0.772933i | 0.922304 | + | 0.386466i | \(0.126304\pi\) | ||||
−0.922304 | + | 0.386466i | \(0.873696\pi\) | |||||||
\(462\) | −70.6110 | + | 5.36593i | −0.152838 | + | 0.0116146i | ||||
\(463\) | 801.137 | 1.73032 | 0.865158 | − | 0.501499i | \(-0.167218\pi\) | ||||
0.865158 | + | 0.501499i | \(0.167218\pi\) | |||||||
\(464\) | −225.377 | + | 73.2295i | −0.485727 | + | 0.157822i | ||||
\(465\) | 402.792 | − | 40.9874i | 0.866220 | − | 0.0881450i | ||||
\(466\) | 35.8967 | − | 26.0805i | 0.0770315 | − | 0.0559667i | ||||
\(467\) | −477.136 | − | 155.031i | −1.02170 | − | 0.331972i | −0.250198 | − | 0.968195i | \(-0.580496\pi\) |
−0.771505 | + | 0.636223i | \(0.780496\pi\) | |||||||
\(468\) | −215.527 | − | 97.6737i | −0.460527 | − | 0.208705i | ||||
\(469\) | 122.897 | − | 89.2897i | 0.262040 | − | 0.190383i | ||||
\(470\) | −11.0542 | + | 15.2148i | −0.0235195 | + | 0.0323719i | ||||
\(471\) | 63.3609 | − | 108.910i | 0.134524 | − | 0.231231i | ||||
\(472\) | 231.631 | 0.490744 | ||||||||
\(473\) | −359.817 | + | 247.623i | −0.760713 | + | 0.523516i | ||||
\(474\) | −141.008 | + | 126.122i | −0.297486 | + | 0.266079i | ||||
\(475\) | −55.7690 | − | 171.639i | −0.117408 | − | 0.361346i | ||||
\(476\) | 22.7039 | − | 31.2492i | 0.0476972 | − | 0.0656496i | ||||
\(477\) | 88.1788 | − | 50.1345i | 0.184861 | − | 0.105104i | ||||
\(478\) | −95.4214 | + | 293.677i | −0.199626 | + | 0.614387i | ||||
\(479\) | −398.661 | − | 129.533i | −0.832278 | − | 0.270424i | −0.138274 | − | 0.990394i | \(-0.544155\pi\) |
−0.694005 | + | 0.719971i | \(0.744155\pi\) | |||||||
\(480\) | −424.034 | − | 91.5995i | −0.883404 | − | 0.190832i | ||||
\(481\) | 209.846 | + | 152.462i | 0.436270 | + | 0.316969i | ||||
\(482\) | 5.09353 | − | 1.65499i | 0.0105675 | − | 0.00343359i | ||||
\(483\) | −127.023 | + | 113.613i | −0.262988 | + | 0.235224i | ||||
\(484\) | 94.3845 | + | 350.515i | 0.195009 | + | 0.724204i | ||||
\(485\) | 439.009i | 0.905173i | ||||||||
\(486\) | −177.868 | − | 165.566i | −0.365984 | − | 0.340670i | ||||
\(487\) | 53.3754 | + | 38.7795i | 0.109600 | + | 0.0796293i | 0.641235 | − | 0.767344i | \(-0.278422\pi\) |
−0.531635 | + | 0.846974i | \(0.678422\pi\) | |||||||
\(488\) | −112.630 | − | 155.021i | −0.230798 | − | 0.317667i | ||||
\(489\) | 30.7670 | − | 13.5765i | 0.0629182 | − | 0.0277637i | ||||
\(490\) | 60.1155 | − | 185.017i | 0.122685 | − | 0.377585i | ||||
\(491\) | 238.186 | + | 327.835i | 0.485104 | + | 0.667688i | 0.979476 | − | 0.201563i | \(-0.0646019\pi\) |
−0.494372 | + | 0.869250i | \(0.664602\pi\) | |||||||
\(492\) | −390.355 | + | 39.7218i | −0.793404 | + | 0.0807354i | ||||
\(493\) | 87.8754 | + | 270.453i | 0.178246 | + | 0.548585i | ||||
\(494\) | 272.774i | 0.552174i | ||||||||
\(495\) | −382.480 | + | 204.706i | −0.772686 | + | 0.413547i | ||||
\(496\) | −153.992 | −0.310467 | ||||||||
\(497\) | 179.965 | − | 58.4741i | 0.362102 | − | 0.117654i | ||||
\(498\) | 33.4640 | + | 328.858i | 0.0671967 | + | 0.660357i | ||||
\(499\) | 243.305 | − | 176.771i | 0.487585 | − | 0.354251i | −0.316670 | − | 0.948536i | \(-0.602565\pi\) |
0.804255 | + | 0.594285i | \(0.202565\pi\) | |||||||
\(500\) | 385.056 | + | 125.112i | 0.770113 | + | 0.250225i | ||||
\(501\) | 71.6713 | + | 162.421i | 0.143057 | + | 0.324195i | ||||
\(502\) | 226.404 | − | 164.492i | 0.451004 | − | 0.327674i | ||||
\(503\) | 252.709 | − | 347.825i | 0.502404 | − | 0.691500i | −0.480211 | − | 0.877153i | \(-0.659440\pi\) |
0.982615 | + | 0.185653i | \(0.0594399\pi\) | |||||||
\(504\) | 27.2317 | + | 132.421i | 0.0540312 | + | 0.262739i | ||||
\(505\) | −58.7682 | −0.116373 | ||||||||
\(506\) | −231.129 | − | 177.125i | −0.456776 | − | 0.350049i | ||||
\(507\) | 184.387 | + | 206.151i | 0.363682 | + | 0.406609i | ||||
\(508\) | 69.1428 | + | 212.800i | 0.136108 | + | 0.418897i | ||||
\(509\) | 524.957 | − | 722.541i | 1.03135 | − | 1.41953i | 0.127421 | − | 0.991849i | \(-0.459330\pi\) |
0.903929 | − | 0.427682i | \(-0.140670\pi\) | |||||||
\(510\) | −16.6544 | + | 77.0971i | −0.0326558 | + | 0.151171i | ||||
\(511\) | −41.0993 | + | 126.491i | −0.0804291 | + | 0.247535i | ||||
\(512\) | 290.072 | + | 94.2502i | 0.566547 | + | 0.184082i | ||||
\(513\) | 267.612 | − | 796.616i | 0.521661 | − | 1.55286i | ||||
\(514\) | 94.3607 | + | 68.5570i | 0.183581 | + | 0.133379i | ||||
\(515\) | −1.71444 | + | 0.557054i | −0.00332900 | + | 0.00108166i | ||||
\(516\) | 238.249 | + | 266.371i | 0.461723 | + | 0.516222i | ||||
\(517\) | 1.20665 | − | 47.1943i | 0.00233395 | − | 0.0912850i | ||||
\(518\) | − | 63.5116i | − | 0.122609i | ||||||
\(519\) | 91.2812 | + | 53.1049i | 0.175879 | + | 0.102322i | ||||
\(520\) | −217.482 | − | 158.010i | −0.418235 | − | 0.303865i | ||||
\(521\) | 444.137 | + | 611.302i | 0.852470 | + | 1.17332i | 0.983313 | + | 0.181921i | \(0.0582315\pi\) |
−0.130843 | + | 0.991403i | \(0.541768\pi\) | |||||||
\(522\) | −388.521 | − | 176.072i | −0.744293 | − | 0.337303i | ||||
\(523\) | −192.517 | + | 592.505i | −0.368101 | + | 1.13290i | 0.579916 | + | 0.814676i | \(0.303085\pi\) |
−0.948017 | + | 0.318221i | \(0.896915\pi\) | |||||||
\(524\) | −14.1212 | − | 19.4361i | −0.0269488 | − | 0.0370919i | ||||
\(525\) | −3.77893 | − | 37.1364i | −0.00719796 | − | 0.0707360i | ||||
\(526\) | −134.602 | − | 414.262i | −0.255897 | − | 0.787570i | ||||
\(527\) | 184.790i | 0.350646i | ||||||||
\(528\) | 152.610 | − | 62.7320i | 0.289033 | − | 0.118811i | ||||
\(529\) | −171.774 | −0.324715 | ||||||||
\(530\) | 46.9698 | − | 15.2614i | 0.0886223 | − | 0.0287951i | ||||
\(531\) | −219.993 | − | 200.736i | −0.414299 | − | 0.378034i | ||||
\(532\) | −162.103 | + | 117.775i | −0.304705 | + | 0.221382i | ||||
\(533\) | −363.379 | − | 118.069i | −0.681761 | − | 0.221518i | ||||
\(534\) | −26.5289 | + | 11.7063i | −0.0496796 | + | 0.0219220i | ||||
\(535\) | −725.970 | + | 527.448i | −1.35695 | + | 0.985884i | ||||
\(536\) | 291.266 | − | 400.894i | 0.543407 | − | 0.747936i | ||||
\(537\) | −28.9446 | − | 16.8392i | −0.0539005 | − | 0.0313578i | ||||
\(538\) | 149.745 | 0.278336 | ||||||||
\(539\) | 138.987 | + | 468.150i | 0.257861 | + | 0.868553i | ||||
\(540\) | 205.766 | + | 289.210i | 0.381048 | + | 0.535574i | ||||
\(541\) | −323.904 | − | 996.873i | −0.598713 | − | 1.84265i | −0.535302 | − | 0.844661i | \(-0.679802\pi\) |
−0.0634112 | − | 0.997987i | \(-0.520198\pi\) | |||||||
\(542\) | −8.09797 | + | 11.1459i | −0.0149409 | + | 0.0205644i | ||||
\(543\) | −779.913 | − | 168.476i | −1.43630 | − | 0.310269i | ||||
\(544\) | 61.1854 | − | 188.309i | 0.112473 | − | 0.346157i | ||||
\(545\) | 447.303 | + | 145.337i | 0.820739 | + | 0.266674i | ||||
\(546\) | −11.9129 | + | 55.1475i | −0.0218185 | + | 0.101003i | ||||
\(547\) | 27.4853 | + | 19.9692i | 0.0502473 | + | 0.0365068i | 0.612625 | − | 0.790373i | \(-0.290113\pi\) |
−0.562378 | + | 0.826880i | \(0.690113\pi\) | |||||||
\(548\) | −93.4347 | + | 30.3588i | −0.170501 | + | 0.0553992i | ||||
\(549\) | −27.3738 | + | 244.839i | −0.0498613 | + | 0.445973i | ||||
\(550\) | 61.1443 | − | 18.1529i | 0.111172 | − | 0.0330052i | ||||
\(551\) | − | 1475.15i | − | 2.67723i | ||||||
\(552\) | −279.550 | + | 480.514i | −0.506431 | + | 0.870496i | ||||
\(553\) | −109.478 | − | 79.5402i | −0.197971 | − | 0.143834i | ||||
\(554\) | −64.1477 | − | 88.2918i | −0.115790 | − | 0.159371i | ||||
\(555\) | −157.074 | − | 355.960i | −0.283016 | − | 0.641370i | ||||
\(556\) | 198.000 | − | 609.381i | 0.356115 | − | 1.09601i | ||||
\(557\) | −300.003 | − | 412.918i | −0.538605 | − | 0.741326i | 0.449807 | − | 0.893126i | \(-0.351493\pi\) |
−0.988411 | + | 0.151800i | \(0.951493\pi\) | |||||||
\(558\) | −204.756 | − | 186.833i | −0.366947 | − | 0.334826i | ||||
\(559\) | 107.538 | + | 330.968i | 0.192376 | + | 0.592071i | ||||
\(560\) | − | 47.0163i | − | 0.0839576i | ||||||
\(561\) | −75.2785 | − | 183.132i | −0.134186 | − | 0.326438i | ||||
\(562\) | −195.161 | −0.347262 | ||||||||
\(563\) | 890.526 | − | 289.349i | 1.58175 | − | 0.513942i | 0.619244 | − | 0.785198i | \(-0.287439\pi\) |
0.962507 | + | 0.271256i | \(0.0874391\pi\) | |||||||
\(564\) | −38.4277 | + | 3.91034i | −0.0681343 | + | 0.00693322i | ||||
\(565\) | −268.241 | + | 194.889i | −0.474763 | + | 0.344936i | ||||
\(566\) | 145.434 | + | 47.2542i | 0.256950 | + | 0.0834881i | ||||
\(567\) | 88.8946 | − | 149.367i | 0.156781 | − | 0.263433i | ||||
\(568\) | 499.376 | − | 362.818i | 0.879183 | − | 0.638764i | ||||
\(569\) | −278.838 | + | 383.787i | −0.490049 | + | 0.674494i | −0.980397 | − | 0.197032i | \(-0.936870\pi\) |
0.490348 | + | 0.871527i | \(0.336870\pi\) | |||||||
\(570\) | 205.752 | − | 353.665i | 0.360969 | − | 0.620464i | ||||
\(571\) | −1032.88 | −1.80890 | −0.904451 | − | 0.426577i | \(-0.859719\pi\) | ||||
−0.904451 | + | 0.426577i | \(0.859719\pi\) | |||||||
\(572\) | 289.115 | + | 7.39202i | 0.505446 | + | 0.0129231i | ||||
\(573\) | −554.354 | + | 495.830i | −0.967460 | + | 0.865322i | ||||
\(574\) | 28.9098 | + | 88.9753i | 0.0503656 | + | 0.155009i | ||||
\(575\) | 90.2223 | − | 124.180i | 0.156908 | − | 0.215966i | ||||
\(576\) | 57.8278 | + | 101.710i | 0.100396 | + | 0.176580i | ||||
\(577\) | 11.9944 | − | 36.9149i | 0.0207875 | − | 0.0639773i | −0.940125 | − | 0.340831i | \(-0.889292\pi\) |
0.960912 | + | 0.276853i | \(0.0892917\pi\) | |||||||
\(578\) | 240.617 | + | 78.1813i | 0.416293 | + | 0.135262i | ||||
\(579\) | −72.3910 | − | 15.6378i | −0.125028 | − | 0.0270084i | ||||
\(580\) | 504.059 | + | 366.220i | 0.869068 | + | 0.631415i | ||||
\(581\) | −224.874 | + | 73.0660i | −0.387047 | + | 0.125759i | ||||
\(582\) | 224.021 | − | 200.371i | 0.384916 | − | 0.344280i | ||||
\(583\) | −75.4108 | + | 98.4031i | −0.129350 | + | 0.168787i | ||||
\(584\) | 433.851i | 0.742896i | ||||||||
\(585\) | 69.6203 | + | 338.545i | 0.119009 | + | 0.578709i | ||||
\(586\) | 359.823 | + | 261.427i | 0.614033 | + | 0.446121i | ||||
\(587\) | −184.716 | − | 254.240i | −0.314678 | − | 0.433118i | 0.622155 | − | 0.782894i | \(-0.286257\pi\) |
−0.936833 | + | 0.349777i | \(0.886257\pi\) | |||||||
\(588\) | 365.549 | − | 161.305i | 0.621681 | − | 0.274328i | ||||
\(589\) | 296.220 | − | 911.671i | 0.502920 | − | 1.54783i | ||||
\(590\) | −85.2289 | − | 117.307i | −0.144456 | − | 0.198826i | ||||
\(591\) | 654.804 | − | 66.6317i | 1.10796 | − | 0.112744i | ||||
\(592\) | 45.7295 | + | 140.741i | 0.0772458 | + | 0.237738i | ||||
\(593\) | 231.984i | 0.391204i | 0.980683 | + | 0.195602i | \(0.0626660\pi\) | ||||
−0.980683 | + | 0.195602i | \(0.937334\pi\) | |||||||
\(594\) | 279.029 | + | 101.744i | 0.469746 | + | 0.171286i | ||||
\(595\) | −56.4195 | −0.0948227 | ||||||||
\(596\) | −330.944 | + | 107.530i | −0.555276 | + | 0.180420i | ||||
\(597\) | 6.01783 | + | 59.1385i | 0.0100801 | + | 0.0990595i | ||||
\(598\) | −187.692 | + | 136.366i | −0.313866 | + | 0.228037i | ||||
\(599\) | −562.424 | − | 182.743i | −0.938938 | − | 0.305080i | −0.200726 | − | 0.979648i | \(-0.564330\pi\) |
−0.738213 | + | 0.674568i | \(0.764330\pi\) | |||||||
\(600\) | −49.1581 | − | 111.402i | −0.0819302 | − | 0.185670i | ||||
\(601\) | 441.618 | − | 320.855i | 0.734806 | − | 0.533868i | −0.156274 | − | 0.987714i | \(-0.549948\pi\) |
0.891080 | + | 0.453846i | \(0.149948\pi\) | |||||||
\(602\) | 50.0850 | − | 68.9361i | 0.0831977 | − | 0.114512i | ||||
\(603\) | −624.053 | + | 128.334i | −1.03491 | + | 0.212826i | ||||
\(604\) | 1.35255 | 0.00223932 | ||||||||
\(605\) | 333.168 | − | 412.469i | 0.550690 | − | 0.681766i | ||||
\(606\) | 26.8228 | + | 29.9888i | 0.0442620 | + | 0.0494864i | ||||
\(607\) | 335.795 | + | 1033.47i | 0.553205 | + | 1.70259i | 0.700638 | + | 0.713517i | \(0.252899\pi\) |
−0.147433 | + | 0.989072i | \(0.547101\pi\) | |||||||
\(608\) | −603.721 | + | 830.951i | −0.992963 | + | 1.36670i | ||||
\(609\) | 64.4247 | − | 298.236i | 0.105788 | − | 0.489715i | ||||
\(610\) | −37.0670 | + | 114.080i | −0.0607655 | + | 0.187017i | ||||
\(611\) | −35.7721 | − | 11.6231i | −0.0585468 | − | 0.0190230i | ||||
\(612\) | −140.829 | + | 80.0693i | −0.230113 | + | 0.130832i | ||||
\(613\) | 135.851 | + | 98.7015i | 0.221617 | + | 0.161014i | 0.693054 | − | 0.720886i | \(-0.256265\pi\) |
−0.471437 | + | 0.881900i | \(0.656265\pi\) | |||||||
\(614\) | −328.152 | + | 106.623i | −0.534450 | + | 0.173653i | ||||
\(615\) | 382.079 | + | 427.177i | 0.621267 | + | 0.694597i | ||||
\(616\) | −93.6738 | − | 136.116i | −0.152068 | − | 0.220967i | ||||
\(617\) | 700.754i | 1.13574i | 0.823117 | + | 0.567872i | \(0.192233\pi\) | ||||
−0.823117 | + | 0.567872i | \(0.807767\pi\) | |||||||
\(618\) | 1.06676 | + | 0.620609i | 0.00172614 | + | 0.00100422i | ||||
\(619\) | 267.615 | + | 194.434i | 0.432334 | + | 0.314109i | 0.782582 | − | 0.622548i | \(-0.213902\pi\) |
−0.350247 | + | 0.936657i | \(0.613902\pi\) | |||||||
\(620\) | 237.978 | + | 327.549i | 0.383835 | + | 0.528304i | ||||
\(621\) | 681.926 | − | 214.107i | 1.09811 | − | 0.344778i | ||||
\(622\) | −120.164 | + | 369.827i | −0.193190 | + | 0.594577i | ||||
\(623\) | −12.1915 | − | 16.7802i | −0.0195691 | − | 0.0269345i | ||||
\(624\) | −13.3083 | − | 130.784i | −0.0213274 | − | 0.209589i | ||||
\(625\) | −137.951 | − | 424.570i | −0.220722 | − | 0.679312i | ||||
\(626\) | 195.782i | 0.312751i | ||||||||
\(627\) | 77.8287 | + | 1024.16i | 0.124129 | + | 1.63343i | ||||
\(628\) | 126.000 | 0.200637 | ||||||||
\(629\) | 168.889 | − | 54.8754i | 0.268504 | − | 0.0872423i | ||||
\(630\) | 57.0432 | − | 62.5155i | 0.0905448 | − | 0.0992309i | ||||
\(631\) | −603.663 | + | 438.587i | −0.956677 | + | 0.695067i | −0.952377 | − | 0.304924i | \(-0.901369\pi\) |
−0.00430075 | + | 0.999991i | \(0.501369\pi\) | |||||||
\(632\) | −419.820 | − | 136.408i | −0.664273 | − | 0.215835i | ||||
\(633\) | −546.908 | + | 241.333i | −0.863993 | + | 0.381252i | ||||
\(634\) | −448.461 | + | 325.826i | −0.707352 | + | 0.513921i | ||||
\(635\) | 192.102 | − | 264.405i | 0.302522 | − | 0.416386i | ||||
\(636\) | 87.6765 | + | 51.0078i | 0.137856 | + | 0.0802010i | ||||
\(637\) | 389.076 | 0.610794 | ||||||||
\(638\) | 521.176 | + | 13.3253i | 0.816890 | + | 0.0208860i | ||||
\(639\) | −788.709 | − | 88.1803i | −1.23429 | − | 0.137997i | ||||
\(640\) | −161.138 | − | 495.932i | −0.251778 | − | 0.774894i | ||||
\(641\) | −87.9749 | + | 121.087i | −0.137246 | + | 0.188903i | −0.872108 | − | 0.489314i | \(-0.837247\pi\) |
0.734861 | + | 0.678217i | \(0.237247\pi\) | |||||||
\(642\) | 600.495 | + | 129.719i | 0.935351 | + | 0.202054i | ||||
\(643\) | 140.652 | − | 432.884i | 0.218744 | − | 0.673225i | −0.780122 | − | 0.625627i | \(-0.784843\pi\) |
0.998867 | − | 0.0475983i | \(-0.0151567\pi\) | |||||||
\(644\) | −162.079 | − | 52.6625i | −0.251675 | − | 0.0817741i | ||||
\(645\) | 110.220 | − | 510.231i | 0.170883 | − | 0.791056i | ||||
\(646\) | 151.082 | + | 109.768i | 0.233873 | + | 0.169919i | ||||
\(647\) | −1188.96 | + | 386.315i | −1.83764 | + | 0.597087i | −0.839051 | + | 0.544053i | \(0.816889\pi\) |
−0.998593 | + | 0.0530334i | \(0.983111\pi\) | |||||||
\(648\) | 125.220 | − | 553.000i | 0.193240 | − | 0.853395i | ||||
\(649\) | 343.189 | + | 121.291i | 0.528796 | + | 0.186889i | ||||
\(650\) | − | 50.8166i | − | 0.0781793i | ||||||
\(651\) | 99.7032 | − | 171.378i | 0.153154 | − | 0.263254i | ||||
\(652\) | 27.2067 | + | 19.7668i | 0.0417280 | + | 0.0303172i | ||||
\(653\) | 499.433 | + | 687.411i | 0.764829 | + | 1.05270i | 0.996797 | + | 0.0799736i | \(0.0254836\pi\) |
−0.231968 | + | 0.972723i | \(0.574516\pi\) | |||||||
\(654\) | −129.992 | − | 294.588i | −0.198765 | − | 0.450440i | ||||
\(655\) | −10.8438 | + | 33.3739i | −0.0165555 | + | 0.0509525i | ||||
\(656\) | −128.128 | − | 176.353i | −0.195317 | − | 0.268830i | ||||
\(657\) | 375.983 | − | 412.052i | 0.572273 | − | 0.627172i | ||||
\(658\) | 2.84597 | + | 8.75900i | 0.00432518 | + | 0.0133115i | ||||
\(659\) | − | 511.766i | − | 0.776579i | −0.921537 | − | 0.388290i | \(-0.873066\pi\) | ||
0.921537 | − | 0.388290i | \(-0.126934\pi\) | |||||||
\(660\) | −369.276 | − | 227.663i | −0.559509 | − | 0.344944i | ||||
\(661\) | 945.854 | 1.43094 | 0.715472 | − | 0.698642i | \(-0.246212\pi\) | ||||
0.715472 | + | 0.698642i | \(0.246212\pi\) | |||||||
\(662\) | 95.5046 | − | 31.0313i | 0.144267 | − | 0.0468751i | ||||
\(663\) | −156.940 | + | 15.9700i | −0.236712 | + | 0.0240874i | ||||
\(664\) | −623.993 | + | 453.357i | −0.939748 | + | 0.682767i | ||||
\(665\) | 278.348 | + | 90.4408i | 0.418569 | + | 0.136001i | ||||
\(666\) | −109.952 | + | 242.619i | −0.165092 | + | 0.364293i | ||||
\(667\) | 1015.03 | − | 737.465i | 1.52179 | − | 1.10564i | ||||
\(668\) | −104.351 | + | 143.626i | −0.156213 | + | 0.215009i | ||||
\(669\) | −64.8818 | + | 111.524i | −0.0969832 | + | 0.166703i | ||||
\(670\) | −310.200 | −0.462986 | ||||||||
\(671\) | −85.6988 | − | 288.659i | −0.127718 | − | 0.430193i | ||||
\(672\) | −158.346 | + | 141.629i | −0.235634 | + | 0.210758i | ||||
\(673\) | −361.412 | − | 1112.31i | −0.537016 | − | 1.65277i | −0.739252 | − | 0.673428i | \(-0.764821\pi\) |
0.202236 | − | 0.979337i | \(-0.435179\pi\) | |||||||
\(674\) | 68.0057 | − | 93.6018i | 0.100899 | − | 0.138875i | ||||
\(675\) | −49.8549 | + | 148.406i | −0.0738591 | + | 0.219861i | ||||
\(676\) | −85.4681 | + | 263.044i | −0.126432 | + | 0.389118i | ||||
\(677\) | −767.633 | − | 249.419i | −1.13387 | − | 0.368418i | −0.318827 | − | 0.947813i | \(-0.603289\pi\) |
−0.815047 | + | 0.579395i | \(0.803289\pi\) | |||||||
\(678\) | 221.879 | + | 47.9301i | 0.327255 | + | 0.0706934i | ||||
\(679\) | 173.929 | + | 126.367i | 0.256154 | + | 0.186107i | ||||
\(680\) | −175.035 | + | 56.8723i | −0.257404 | + | 0.0836357i | ||||
\(681\) | −171.221 | + | 153.145i | −0.251426 | + | 0.224882i | ||||
\(682\) | 319.420 | + | 112.890i | 0.468358 | + | 0.165529i | ||||
\(683\) | − | 305.746i | − | 0.447652i | −0.974629 | − | 0.223826i | \(-0.928145\pi\) | ||
0.974629 | − | 0.223826i | \(-0.0718548\pi\) | |||||||
\(684\) | 823.139 | − | 169.275i | 1.20342 | − | 0.247478i | ||||
\(685\) | 116.093 | + | 84.3467i | 0.169479 | + | 0.123134i | ||||
\(686\) | −117.802 | − | 162.140i | −0.171723 | − | 0.236356i | ||||
\(687\) | 402.845 | − | 177.762i | 0.586383 | − | 0.258752i | ||||
\(688\) | −61.3525 | + | 188.824i | −0.0891752 | + | 0.274453i | ||||
\(689\) | 58.0579 | + | 79.9098i | 0.0842640 | + | 0.115979i | ||||
\(690\) | 346.212 | − | 35.2299i | 0.501757 | − | 0.0510579i | ||||
\(691\) | −170.328 | − | 524.216i | −0.246495 | − | 0.758634i | −0.995387 | − | 0.0959418i | \(-0.969414\pi\) |
0.748892 | − | 0.662692i | \(-0.230586\pi\) | |||||||
\(692\) | 105.605i | 0.152608i | ||||||||
\(693\) | −28.9935 | + | 210.456i | −0.0418376 | + | 0.303689i | ||||
\(694\) | −248.024 | −0.357384 | ||||||||
\(695\) | −890.096 | + | 289.210i | −1.28071 | + | 0.416129i | ||||
\(696\) | −100.759 | − | 990.184i | −0.144769 | − | 1.42268i | ||||
\(697\) | −211.623 | + | 153.753i | −0.303620 | + | 0.220593i | ||||
\(698\) | 483.327 | + | 157.043i | 0.692446 | + | 0.224989i | ||||
\(699\) | −53.7387 | − | 121.783i | −0.0768794 | − | 0.174224i | ||||
\(700\) | 30.1991 | − | 21.9409i | 0.0431416 | − | 0.0313442i | ||||
\(701\) | 315.735 | − | 434.572i | 0.450407 | − | 0.619932i | −0.522078 | − | 0.852898i | \(-0.674843\pi\) |
0.972485 | + | 0.232966i | \(0.0748430\pi\) | |||||||
\(702\) | 140.980 | − | 190.044i | 0.200826 | − | 0.270718i | ||||
\(703\) | −921.187 | −1.31037 | ||||||||
\(704\) | −113.503 | − | 86.9828i | −0.161226 | − | 0.123555i | ||||
\(705\) | 37.6130 | + | 42.0526i | 0.0533518 | + | 0.0596491i | ||||
\(706\) | −95.3557 | − | 293.475i | −0.135065 | − | 0.415686i | ||||
\(707\) | −16.9161 | + | 23.2831i | −0.0239267 | + | 0.0329322i | ||||
\(708\) | 62.8826 | − | 291.097i | 0.0888172 | − | 0.411154i | ||||
\(709\) | −319.728 | + | 984.020i | −0.450956 | + | 1.38790i | 0.424863 | + | 0.905258i | \(0.360322\pi\) |
−0.875818 | + | 0.482641i | \(0.839678\pi\) | |||||||
\(710\) | −367.491 | − | 119.405i | −0.517593 | − | 0.168176i | ||||
\(711\) | 280.513 | + | 493.378i | 0.394533 | + | 0.693921i | ||||
\(712\) | −54.7376 | − | 39.7692i | −0.0768787 | − | 0.0558556i | ||||
\(713\) | 775.395 | − | 251.941i | 1.08751 | − | 0.353354i | ||||
\(714\) | 25.7508 | + | 28.7902i | 0.0360655 | + | 0.0403225i | ||||
\(715\) | −239.485 | − | 347.992i | −0.334944 | − | 0.486703i | ||||
\(716\) | − | 33.4865i | − | 0.0467688i | ||||||
\(717\) | 800.723 | + | 465.839i | 1.11677 | + | 0.649705i | ||||
\(718\) | −8.72949 | − | 6.34235i | −0.0121581 | − | 0.00883335i | ||||
\(719\) | 249.426 | + | 343.305i | 0.346906 | + | 0.477476i | 0.946443 | − | 0.322872i | \(-0.104648\pi\) |
−0.599536 | + | 0.800348i | \(0.704648\pi\) | |||||||
\(720\) | −81.3948 | + | 179.606i | −0.113048 | + | 0.249452i | ||||
\(721\) | −0.272796 | + | 0.839579i | −0.000378358 | + | 0.00116446i | ||||
\(722\) | −357.221 | − | 491.673i | −0.494767 | − | 0.680988i | ||||
\(723\) | −1.62655 | − | 15.9844i | −0.00224972 | − | 0.0221085i | ||||
\(724\) | −246.565 | − | 758.850i | −0.340560 | − | 1.04814i | ||||
\(725\) | 274.815i | 0.379055i | ||||||||
\(726\) | −362.541 | + | 18.2457i | −0.499368 | + | 0.0251318i | ||||
\(727\) | −359.580 | −0.494609 | −0.247304 | − | 0.968938i | \(-0.579545\pi\) | ||||
−0.247304 | + | 0.968938i | \(0.579545\pi\) | |||||||
\(728\) | −125.202 | + | 40.6807i | −0.171981 | + | 0.0558801i | ||||
\(729\) | −598.168 | + | 416.697i | −0.820532 | + | 0.571600i | ||||
\(730\) | 219.720 | − | 159.636i | 0.300986 | − | 0.218679i | ||||
\(731\) | 226.588 | + | 73.6231i | 0.309971 | + | 0.100716i | ||||
\(732\) | −225.396 | + | 99.4598i | −0.307918 | + | 0.135874i | ||||
\(733\) | −875.418 | + | 636.029i | −1.19430 | + | 0.867706i | −0.993712 | − | 0.111970i | \(-0.964284\pi\) |
−0.200584 | + | 0.979677i | \(0.564284\pi\) | |||||||
\(734\) | −290.939 | + | 400.444i | −0.396375 | + | 0.545564i | ||||
\(735\) | −504.455 | − | 293.479i | −0.686334 | − | 0.399291i | ||||
\(736\) | −873.580 | −1.18693 | ||||||||
\(737\) | 641.468 | − | 441.453i | 0.870378 | − | 0.598986i | ||||
\(738\) | 43.5967 | − | 389.941i | 0.0590742 | − | 0.528376i | ||||
\(739\) | −8.62616 | − | 26.5486i | −0.0116728 | − | 0.0359250i | 0.945050 | − | 0.326924i | \(-0.106012\pi\) |
−0.956723 | + | 0.290999i | \(0.906012\pi\) | |||||||
\(740\) | 228.693 | − | 314.769i | 0.309045 | − | 0.425363i | ||||
\(741\) | 799.872 | + | 172.788i | 1.07945 | + | 0.233182i | ||||
\(742\) | 7.47369 | − | 23.0016i | 0.0100724 | − | 0.0309995i | ||||
\(743\) | 735.304 | + | 238.915i | 0.989642 | + | 0.321554i | 0.758719 | − | 0.651418i | \(-0.225825\pi\) |
0.230923 | + | 0.972972i | \(0.425825\pi\) | |||||||
\(744\) | 136.564 | − | 632.184i | 0.183554 | − | 0.849709i | ||||
\(745\) | 411.201 | + | 298.755i | 0.551948 | + | 0.401013i | ||||
\(746\) | −339.025 | + | 110.156i | −0.454457 | + | 0.147662i | ||||
\(747\) | 985.528 | + | 110.185i | 1.31931 | + | 0.147504i | ||||
\(748\) | 120.438 | − | 157.158i | 0.161013 | − | 0.210105i | ||||
\(749\) | 439.442i | 0.586704i | ||||||||
\(750\) | −203.596 | + | 349.958i | −0.271461 | + | 0.466610i | ||||
\(751\) | 822.222 | + | 597.379i | 1.09484 | + | 0.795445i | 0.980209 | − | 0.197964i | \(-0.0634329\pi\) |
0.114627 | + | 0.993409i | \(0.463433\pi\) | |||||||
\(752\) | −12.6133 | − | 17.3607i | −0.0167730 | − | 0.0230860i | ||||
\(753\) | −338.936 | − | 768.096i | −0.450114 | − | 1.02005i | ||||
\(754\) | 128.356 | − | 395.038i | 0.170233 | − | 0.523923i | ||||
\(755\) | −1.16123 | − | 1.59830i | −0.00153806 | − | 0.00211695i | ||||
\(756\) | 173.809 | + | 1.72631i | 0.229906 | + | 0.00228348i | ||||
\(757\) | 312.810 | + | 962.729i | 0.413223 | + | 1.27177i | 0.913831 | + | 0.406095i | \(0.133110\pi\) |
−0.500608 | + | 0.865674i | \(0.666890\pi\) | |||||||
\(758\) | 214.354i | 0.282790i | ||||||||
\(759\) | −665.801 | + | 565.554i | −0.877208 | + | 0.745131i | ||||
\(760\) | 954.709 | 1.25620 | ||||||||
\(761\) | −1060.18 | + | 344.474i | −1.39314 | + | 0.452660i | −0.906967 | − | 0.421201i | \(-0.861609\pi\) |
−0.486176 | + | 0.873861i | \(0.661609\pi\) | |||||||
\(762\) | −222.601 | + | 22.6515i | −0.292128 | + | 0.0297264i | ||||
\(763\) | 186.334 | − | 135.380i | 0.244213 | − | 0.177431i | ||||
\(764\) | −707.343 | − | 229.830i | −0.925842 | − | 0.300824i | ||||
\(765\) | 215.527 | + | 97.6737i | 0.281734 | + | 0.127678i | ||||
\(766\) | 30.3738 | − | 22.0679i | 0.0396525 | − | 0.0288092i | ||||
\(767\) | 170.458 | − | 234.615i | 0.222240 | − | 0.305886i | ||||
\(768\) | −257.969 | + | 443.419i | −0.335898 | + | 0.577369i | ||||
\(769\) | 261.746 | 0.340372 | 0.170186 | − | 0.985412i | \(-0.445563\pi\) | ||||
0.170186 | + | 0.985412i | \(0.445563\pi\) | |||||||
\(770\) | −34.4673 | + | 97.5242i | −0.0447628 | + | 0.126655i | ||||
\(771\) | 260.807 | − | 233.272i | 0.338270 | − | 0.302558i | ||||
\(772\) | −22.8860 | − | 70.4360i | −0.0296451 | − | 0.0912383i | ||||
\(773\) | 212.825 | − | 292.929i | 0.275324 | − | 0.378951i | −0.648854 | − | 0.760913i | \(-0.724751\pi\) |
0.924178 | + | 0.381962i | \(0.124751\pi\) | |||||||
\(774\) | −310.671 | + | 176.634i | −0.401384 | + | 0.228209i | ||||
\(775\) | −55.1844 | + | 169.840i | −0.0712057 | + | 0.219149i | ||||
\(776\) | 666.974 | + | 216.713i | 0.859502 | + | 0.279269i | ||||
\(777\) | −186.239 | − | 40.2312i | −0.239690 | − | 0.0517776i | ||||
\(778\) | 312.726 | + | 227.209i | 0.401962 | + | 0.292042i | ||||
\(779\) | 1290.52 | − | 419.315i | 1.65664 | − | 0.538273i | ||||
\(780\) | −257.617 | + | 230.420i | −0.330278 | + | 0.295410i | ||||
\(781\) | 929.869 | − | 276.065i | 1.19061 | − | 0.353476i | ||||
\(782\) | 158.833i | 0.203111i | ||||||||
\(783\) | −762.415 | + | 1027.75i | −0.973710 | + | 1.31258i | ||||
\(784\) | 179.582 | + | 130.474i | 0.229059 | + | 0.166421i | ||||
\(785\) | −108.178 | − | 148.894i | −0.137806 | − | 0.189673i | ||||
\(786\) | 21.9796 | − | 9.69889i | 0.0279639 | − | 0.0123396i | ||||
\(787\) | 250.225 | − | 770.113i | 0.317948 | − | 0.978542i | −0.656576 | − | 0.754260i | \(-0.727996\pi\) |
0.974524 | − | 0.224283i | \(-0.0720039\pi\) | |||||||
\(788\) | 386.872 | + | 532.483i | 0.490954 | + | 0.675740i | ||||
\(789\) | −1300.03 | + | 132.288i | −1.64769 | + | 0.167666i | ||||
\(790\) | 85.3907 | + | 262.806i | 0.108089 | + | 0.332665i | ||||
\(791\) | 162.371i | 0.205273i | ||||||||
\(792\) | 122.196 | + | 682.142i | 0.154288 | + | 0.861290i | ||||
\(793\) | −239.902 | −0.302525 | ||||||||
\(794\) | 683.564 | − | 222.103i | 0.860912 | − | 0.279727i | ||||
\(795\) | −14.9991 | − | 147.400i | −0.0188668 | − | 0.185409i | ||||
\(796\) | −48.0911 | + | 34.9403i | −0.0604160 | + | 0.0438948i | ||||
\(797\) | −735.487 | − | 238.974i | −0.922820 | − | 0.299842i | −0.191197 | − | 0.981552i | \(-0.561237\pi\) |
−0.731623 | + | 0.681709i | \(0.761237\pi\) | |||||||
\(798\) | −80.8917 | − | 183.317i | −0.101368 | − | 0.229720i | ||||
\(799\) | −20.8328 | + | 15.1359i | −0.0260736 | + | 0.0189436i | ||||
\(800\) | 112.471 | − | 154.802i | 0.140588 | − | 0.193503i | ||||
\(801\) | 17.5226 | + | 85.2076i | 0.0218759 | + | 0.106377i | ||||
\(802\) | −331.082 | −0.412820 | ||||||||
\(803\) | −227.181 | + | 642.801i | −0.282915 | + | 0.800500i | ||||
\(804\) | −424.741 | − | 474.875i | −0.528285 | − | 0.590641i | ||||
\(805\) | 76.9218 | + | 236.741i | 0.0955550 | + | 0.294088i | ||||
\(806\) | 158.652 | − | 218.366i | 0.196839 | − | 0.270925i | ||||
\(807\) | 94.8552 | − | 439.105i | 0.117540 | − | 0.544120i | ||||
\(808\) | −29.0104 | + | 89.2849i | −0.0359040 | + | 0.110501i | ||||
\(809\) | 372.493 | + | 121.030i | 0.460436 | + | 0.149605i | 0.530045 | − | 0.847970i | \(-0.322175\pi\) |
−0.0696089 | + | 0.997574i | \(0.522175\pi\) | |||||||
\(810\) | −326.136 | + | 140.060i | −0.402638 | + | 0.172914i | ||||
\(811\) | −14.8228 | − | 10.7694i | −0.0182771 | − | 0.0132791i | 0.578609 | − | 0.815605i | \(-0.303596\pi\) |
−0.596886 | + | 0.802326i | \(0.703596\pi\) | |||||||
\(812\) | 290.182 | − | 94.2858i | 0.357367 | − | 0.116116i | ||||
\(813\) | 27.5542 | + | 30.8065i | 0.0338920 | + | 0.0378924i | ||||
\(814\) | 8.32121 | − | 325.458i | 0.0102226 | − | 0.399825i | ||||
\(815\) | − | 49.1208i | − | 0.0602709i | ||||||
\(816\) | −77.7929 | − | 45.2578i | −0.0953344 | − | 0.0554630i | ||||
\(817\) | −999.866 | − | 726.445i | −1.22383 | − | 0.889162i | ||||
\(818\) | −319.858 | − | 440.247i | −0.391025 | − | 0.538199i | ||||
\(819\) | 154.166 | + | 69.8659i | 0.188237 | + | 0.0853064i | ||||
\(820\) | −177.103 | + | 545.068i | −0.215980 | + | 0.664717i | ||||
\(821\) | −282.625 | − | 389.000i | −0.344245 | − | 0.473813i | 0.601430 | − | 0.798925i | \(-0.294598\pi\) |
−0.945675 | + | 0.325113i | \(0.894598\pi\) | |||||||
\(822\) | −9.94567 | − | 97.7383i | −0.0120994 | − | 0.118903i | ||||
\(823\) | −341.411 | − | 1050.76i | −0.414837 | − | 1.27674i | −0.912396 | − | 0.409308i | \(-0.865770\pi\) |
0.497559 | − | 0.867430i | \(-0.334230\pi\) | |||||||
\(824\) | 2.87968i | 0.00349476i | ||||||||
\(825\) | −14.4991 | − | 190.796i | −0.0175747 | − | 0.231268i | ||||
\(826\) | −71.0081 | −0.0859663 | ||||||||
\(827\) | 690.812 | − | 224.458i | 0.835323 | − | 0.271413i | 0.140037 | − | 0.990146i | \(-0.455278\pi\) |
0.695286 | + | 0.718733i | \(0.255278\pi\) | |||||||
\(828\) | 527.983 | + | 481.766i | 0.637660 | + | 0.581843i | ||||
\(829\) | 62.7639 | − | 45.6007i | 0.0757104 | − | 0.0550068i | −0.549286 | − | 0.835634i | \(-0.685100\pi\) |
0.624997 | + | 0.780627i | \(0.285100\pi\) | |||||||
\(830\) | 459.197 | + | 149.202i | 0.553250 | + | 0.179762i | ||||
\(831\) | −299.538 | + | 132.176i | −0.360454 | + | 0.159057i | ||||
\(832\) | −92.1722 | + | 66.9670i | −0.110784 | + | 0.0804892i | ||||
\(833\) | 156.569 | − | 215.498i | 0.187958 | − | 0.258702i | ||||
\(834\) | 553.835 | + | 322.206i | 0.664070 | + | 0.386338i | ||||
\(835\) | 259.313 | 0.310554 | ||||||||
\(836\) | −846.110 | + | 582.286i | −1.01209 | + | 0.696514i | ||||
\(837\) | −677.564 | + | 482.071i | −0.809515 | + | 0.575951i | ||||
\(838\) | −36.3378 | − | 111.836i | −0.0433626 | − | 0.133456i | ||||
\(839\) | −166.877 | + | 229.687i | −0.198900 | + | 0.273763i | −0.896803 | − | 0.442430i | \(-0.854117\pi\) |
0.697903 | + | 0.716192i | \(0.254117\pi\) | |||||||
\(840\) | 193.016 | + | 41.6952i | 0.229781 | + | 0.0496371i | ||||
\(841\) | −434.261 | + | 1336.52i | −0.516362 | + | 1.58920i | ||||
\(842\) | 184.536 | + | 59.9593i | 0.219164 | + | 0.0712106i | ||||
\(843\) | −123.624 | + | 572.283i | −0.146648 | + | 0.678864i | ||||
\(844\) | −483.620 | − | 351.370i | −0.573009 | − | 0.416316i | ||||
\(845\) | 384.216 | − | 124.839i | 0.454694 | − | 0.147739i | ||||
\(846\) | 4.29180 | − | 38.3870i | 0.00507304 | − | 0.0453747i | ||||
\(847\) | −67.5132 | − | 250.723i | −0.0797086 | − | 0.296013i | ||||
\(848\) | 56.3525i | 0.0664535i | ||||||||
\(849\) | 230.691 | − | 396.531i | 0.271721 | − | 0.467056i | ||||
\(850\) | −28.1459 | − | 20.4492i | −0.0331128 | − | 0.0240579i | ||||
\(851\) | −460.523 | − | 633.856i | −0.541156 | − | 0.744837i | ||||
\(852\) | −320.394 | − | 726.075i | −0.376049 | − | 0.852201i | ||||
\(853\) | −151.247 | + | 465.491i | −0.177312 | + | 0.545711i | −0.999732 | − | 0.0231709i | \(-0.992624\pi\) |
0.822419 | + | 0.568882i | \(0.192624\pi\) | |||||||
\(854\) | 34.5274 | + | 47.5228i | 0.0404302 | + | 0.0556474i | ||||
\(855\) | −906.739 | − | 827.368i | −1.06051 | − | 0.967682i | ||||
\(856\) | 442.968 | + | 1363.32i | 0.517486 | + | 1.59266i | ||||
\(857\) | − | 995.112i | − | 1.16116i | −0.814204 | − | 0.580579i | \(-0.802826\pi\) | ||
0.814204 | − | 0.580579i | \(-0.197174\pi\) | |||||||
\(858\) | −68.2717 | + | 281.036i | −0.0795708 | + | 0.327548i | ||||
\(859\) | 1179.53 | 1.37315 | 0.686573 | − | 0.727061i | \(-0.259114\pi\) | ||||
0.686573 | + | 0.727061i | \(0.259114\pi\) | |||||||
\(860\) | 496.452 | − | 161.307i | 0.577269 | − | 0.187566i | ||||
\(861\) | 279.221 | − | 28.4130i | 0.324298 | − | 0.0330000i | ||||
\(862\) | 287.697 | − | 209.024i | 0.333755 | − | 0.242487i | ||||
\(863\) | 772.720 | + | 251.072i | 0.895388 | + | 0.290929i | 0.720332 | − | 0.693629i | \(-0.243989\pi\) |
0.175056 | + | 0.984558i | \(0.443989\pi\) | |||||||
\(864\) | 850.084 | − | 266.905i | 0.983894 | − | 0.308917i | ||||
\(865\) | 124.793 | − | 90.6672i | 0.144269 | − | 0.104818i | ||||
\(866\) | −355.245 | + | 488.953i | −0.410214 | + | 0.564611i | ||||
\(867\) | 381.674 | − | 656.053i | 0.440224 | − | 0.756694i | ||||
\(868\) | 198.271 | 0.228422 | ||||||||
\(869\) | −550.585 | − | 421.938i | −0.633584 | − | 0.485545i | ||||
\(870\) | −464.395 | + | 415.368i | −0.533787 | + | 0.477434i | ||||
\(871\) | −191.714 | − | 590.036i | −0.220108 | − | 0.677424i | ||||
\(872\) | 441.614 | − | 607.830i | 0.506438 | − | 0.697052i | ||||
\(873\) | −445.654 | − | 783.836i | −0.510486 | − | 0.897864i | ||||
\(874\) | 254.610 | − | 783.609i | 0.291316 | − | 0.896577i | ||||
\(875\) | −275.431 | − | 89.4928i | −0.314778 | − | 0.102278i | ||||
\(876\) | 545.232 | + | 117.781i | 0.622411 | + | 0.134453i | ||||
\(877\) | −860.099 | − | 624.899i | −0.980729 | − | 0.712541i | −0.0228573 | − | 0.999739i | \(-0.507276\pi\) |
−0.957871 | + | 0.287198i | \(0.907276\pi\) | |||||||
\(878\) | −27.5258 | + | 8.94368i | −0.0313506 | + | 0.0101864i | ||||
\(879\) | 994.527 | − | 889.532i | 1.13143 | − | 1.01198i | ||||
\(880\) | 6.16001 | − | 240.929i | 0.00700002 | − | 0.273783i | ||||
\(881\) | − | 542.138i | − | 0.615366i | −0.951489 | − | 0.307683i | \(-0.900446\pi\) | ||
0.951489 | − | 0.307683i | \(-0.0995537\pi\) | |||||||
\(882\) | 80.4828 | + | 391.366i | 0.0912504 | + | 0.443726i | ||||
\(883\) | −482.827 | − | 350.794i | −0.546802 | − | 0.397275i | 0.279803 | − | 0.960058i | \(-0.409731\pi\) |
−0.826605 | + | 0.562782i | \(0.809731\pi\) | |||||||
\(884\) | −92.7236 | − | 127.623i | −0.104891 | − | 0.144370i | ||||
\(885\) | −397.976 | + | 175.614i | −0.449690 | + | 0.198434i | ||||
\(886\) | −20.1778 | + | 62.1010i | −0.0227741 | + | 0.0700914i | ||||
\(887\) | 269.641 | + | 371.130i | 0.303993 | + | 0.418410i | 0.933496 | − | 0.358588i | \(-0.116742\pi\) |
−0.629503 | + | 0.776998i | \(0.716742\pi\) | |||||||
\(888\) | −618.339 | + | 62.9210i | −0.696327 | + | 0.0708570i | ||||
\(889\) | −49.4578 | − | 152.215i | −0.0556331 | − | 0.171221i | ||||
\(890\) | 42.3545i | 0.0475893i | ||||||||
\(891\) | 475.100 | − | 753.765i | 0.533221 | − | 0.845976i | ||||
\(892\) | −129.024 | −0.144646 | ||||||||
\(893\) | 127.043 | − | 41.2786i | 0.142265 | − | 0.0462247i | ||||
\(894\) | −35.2275 | − | 346.188i | −0.0394043 | − | 0.387235i | ||||
\(895\) | −39.5708 | + | 28.7499i | −0.0442132 | + | 0.0321228i | ||||
\(896\) | −242.864 | − | 78.9112i | −0.271053 | − | 0.0880705i | ||||
\(897\) | 280.982 | + | 636.761i | 0.313247 | + | 0.709879i | ||||
\(898\) | −229.220 | + | 166.538i | −0.255256 | + | 0.185454i | ||||
\(899\) | −857.986 | + | 1180.92i | −0.954378 | + | 1.31359i | ||||
\(900\) | −153.347 | + | 31.5352i | −0.170386 | + | 0.0350391i | ||||
\(901\) | 67.6231 | 0.0750533 | ||||||||
\(902\) | 136.488 | + | 459.731i | 0.151317 | + | 0.509680i | ||||
\(903\) | −170.420 | − | 190.535i | −0.188726 | − | 0.211002i | ||||
\(904\) | 163.674 | + | 503.736i | 0.181055 | + | 0.557230i | ||||
\(905\) | −685.040 | + | 942.877i | −0.756951 | + | 1.04185i | ||||
\(906\) | −0.285589 | + | 1.32205i | −0.000315220 | + | 0.00145922i | ||||
\(907\) | 15.4358 | − | 47.5064i | 0.0170185 | − | 0.0523775i | −0.942187 | − | 0.335089i | \(-0.891234\pi\) |
0.959205 | + | 0.282711i | \(0.0912338\pi\) | |||||||
\(908\) | −218.474 | − | 70.9865i | −0.240610 | − | 0.0781789i | ||||
\(909\) | 104.929 | − | 59.6578i | 0.115433 | − | 0.0656301i | ||||
\(910\) | 66.6707 | + | 48.4391i | 0.0732645 | + | 0.0532297i | ||||
\(911\) | −329.628 | + | 107.103i | −0.361831 | + | 0.117566i | −0.484290 | − | 0.874908i | \(-0.660922\pi\) |
0.122459 | + | 0.992474i | \(0.460922\pi\) | |||||||
\(912\) | 311.246 | + | 347.984i | 0.341279 | + | 0.381561i | ||||
\(913\) | −1161.91 | + | 344.956i | −1.27263 | + | 0.377826i | ||||
\(914\) | − | 706.507i | − | 0.772984i | ||||||
\(915\) | 311.045 | + | 180.958i | 0.339940 | + | 0.197768i | ||||
\(916\) | 356.228 | + | 258.815i | 0.388895 | + | 0.282549i | ||||
\(917\) | 10.1009 | + | 13.9027i | 0.0110151 | + | 0.0151610i | ||||
\(918\) | −48.5281 | − | 154.561i | −0.0528628 | − | 0.168367i | ||||
\(919\) | −258.667 | + | 796.096i | −0.281466 | + | 0.866263i | 0.705970 | + | 0.708242i | \(0.250511\pi\) |
−0.987436 | + | 0.158021i | \(0.949489\pi\) | |||||||
\(920\) | 477.282 | + | 656.922i | 0.518784 | + | 0.714045i | ||||
\(921\) | 104.791 | + | 1029.80i | 0.113779 | + | 1.11813i | ||||
\(922\) | −110.110 | − | 338.882i | −0.119425 | − | 0.367551i | ||||
\(923\) | − | 772.807i | − | 0.837277i | ||||||
\(924\) | −196.491 | + | 80.7699i | −0.212652 | + | 0.0874134i | ||||
\(925\) | 171.613 | 0.185528 | ||||||||
\(926\) | −761.926 | + | 247.565i | −0.822814 | + | 0.267349i | ||||
\(927\) | 2.49558 | − | 2.73499i | 0.00269211 | − | 0.00295037i | ||||
\(928\) | 1265.33 | − | 919.319i | 1.36351 | − | 0.990646i | ||||
\(929\) | 949.779 | + | 308.602i | 1.02237 | + | 0.332187i | 0.771768 | − | 0.635904i | \(-0.219373\pi\) |
0.250599 | + | 0.968091i | \(0.419373\pi\) | |||||||
\(930\) | −370.412 | + | 163.451i | −0.398293 | + | 0.175754i | ||||
\(931\) | −1117.88 | + | 812.190i | −1.20073 | + | 0.872385i | ||||
\(932\) | 78.2414 | − | 107.690i | 0.0839500 | − | 0.115547i | ||||
\(933\) | 1008.35 | + | 586.630i | 1.08076 | + | 0.628757i | ||||
\(934\) | 501.690 | 0.537141 | ||||||||
\(935\) | −289.115 | − | 7.39202i | −0.309214 | − | 0.00790590i | ||||
\(936\) | 548.709 | + | 61.3475i | 0.586227 | + | 0.0655422i | ||||
\(937\) | −317.267 | − | 976.447i | −0.338599 | − | 1.04210i | −0.964922 | − | 0.262536i | \(-0.915441\pi\) |
0.626324 | − | 0.779563i | \(-0.284559\pi\) | |||||||
\(938\) | −89.2897 | + | 122.897i | −0.0951915 | + | 0.131020i | ||||
\(939\) | 574.104 | + | 124.017i | 0.611399 | + | 0.132074i | ||||
\(940\) | −17.4346 | + | 53.6581i | −0.0185474 | + | 0.0570831i | ||||
\(941\) | −1494.57 | − | 485.615i | −1.58828 | − | 0.516063i | −0.624105 | − | 0.781340i | \(-0.714536\pi\) |
−0.964172 | + | 0.265278i | \(0.914536\pi\) | |||||||
\(942\) | −26.6048 | + | 123.159i | −0.0282428 | + | 0.130742i | ||||
\(943\) | 933.686 | + | 678.362i | 0.990123 | + | 0.719366i | ||||
\(944\) | 157.353 | − | 51.1271i | 0.166688 | − | 0.0541601i | ||||
\(945\) | −147.184 | − | 206.872i | −0.155750 | − | 0.218912i | ||||
\(946\) | 265.687 | − | 346.693i | 0.280853 | − | 0.366483i | ||||
\(947\) | 1622.14i | 1.71292i | 0.516209 | + | 0.856462i | \(0.327343\pi\) | ||||
−0.516209 | + | 0.856462i | \(0.672657\pi\) | |||||||
\(948\) | −285.399 | + | 490.568i | −0.301054 | + | 0.517477i | ||||
\(949\) | 439.440 | + | 319.272i | 0.463055 | + | 0.336429i | ||||
\(950\) | 106.079 | + | 146.005i | 0.111662 | + | 0.153689i | ||||
\(951\) | 671.363 | + | 1521.44i | 0.705955 | + | 1.59983i | ||||
\(952\) | −27.8510 | + | 85.7166i | −0.0292552 | + | 0.0900384i | ||||
\(953\) | 187.873 | + | 258.586i | 0.197139 | + | 0.271338i | 0.896130 | − | 0.443792i | \(-0.146367\pi\) |
−0.698991 | + | 0.715131i | \(0.746367\pi\) | |||||||
\(954\) | −68.3706 | + | 74.9295i | −0.0716673 | + | 0.0785425i | ||||
\(955\) | 335.702 | + | 1033.18i | 0.351520 | + | 1.08187i | ||||
\(956\) | 926.371i | 0.969007i | ||||||||
\(957\) | 369.212 | − | 1519.84i | 0.385801 | − | 1.58813i | ||||
\(958\) | 419.177 | 0.437555 | ||||||||
\(959\) | 66.8337 | − | 21.7156i | 0.0696911 | − | 0.0226440i | ||||
\(960\) | 170.019 | − | 17.3008i | 0.177103 | − | 0.0180217i | ||||
\(961\) | 10.0805 | − | 7.32390i | 0.0104896 | − | 0.00762113i | ||||
\(962\) | −246.689 | − | 80.1540i | −0.256433 | − | 0.0833202i | ||||
\(963\) | 760.763 | − | 1678.70i | 0.789993 | − | 1.74320i | ||||
\(964\) | 12.9984 | − | 9.44392i | 0.0134839 | − | 0.00979660i | ||||
\(965\) | −63.5850 | + | 87.5172i | −0.0658912 | + | 0.0906914i | ||||
\(966\) | 85.6979 | − | 147.305i | 0.0887142 | − | 0.152489i | ||||
\(967\) | 458.267 | 0.473906 | 0.236953 | − | 0.971521i | \(-0.423851\pi\) | ||||
0.236953 | + | 0.971521i | \(0.423851\pi\) | |||||||
\(968\) | −462.187 | − | 709.783i | −0.477466 | − | 0.733247i | ||||
\(969\) | 417.580 | − | 373.495i | 0.430940 | − | 0.385444i | ||||
\(970\) | −135.661 | − | 417.522i | −0.139857 | − | 0.430435i | ||||
\(971\) | −826.754 | + | 1137.93i | −0.851446 | + | 1.17192i | 0.132096 | + | 0.991237i | \(0.457829\pi\) |
−0.983542 | + | 0.180679i | \(0.942171\pi\) | |||||||
\(972\) | −660.975 | − | 307.494i | −0.680016 | − | 0.316352i | ||||
\(973\) | −141.629 | + | 435.890i | −0.145559 | + | 0.447986i | ||||
\(974\) | −62.7465 | − | 20.3876i | −0.0644215 | − | 0.0209318i | ||||
\(975\) | −149.013 | − | 32.1896i | −0.152833 | − | 0.0330149i | ||||
\(976\) | −110.729 | − | 80.4497i | −0.113452 | − | 0.0824280i | ||||
\(977\) | −894.658 | + | 290.692i | −0.915719 | + | 0.297535i | −0.728710 | − | 0.684823i | \(-0.759880\pi\) |
−0.187010 | + | 0.982358i | \(0.559880\pi\) | |||||||
\(978\) | −25.0658 | + | 22.4195i | −0.0256296 | + | 0.0229238i | ||||
\(979\) | −60.2755 | − | 87.5855i | −0.0615685 | − | 0.0894642i | ||||
\(980\) | − | 583.614i | − | 0.595524i | ||||||
\(981\) | −946.181 | + | 194.578i | −0.964507 | + | 0.198347i | ||||
\(982\) | −327.835 | − | 238.186i | −0.333844 | − | 0.242552i | ||||
\(983\) | 117.908 | + | 162.287i | 0.119947 | + | 0.165093i | 0.864768 | − | 0.502171i | \(-0.167465\pi\) |
−0.744821 | + | 0.667264i | \(0.767465\pi\) | |||||||
\(984\) | 837.608 | − | 369.609i | 0.851228 | − | 0.375619i | ||||
\(985\) | 297.083 | − | 914.329i | 0.301607 | − | 0.928252i | ||||
\(986\) | −167.149 | − | 230.061i | −0.169522 | − | 0.233327i | ||||
\(987\) | 27.4873 | − | 2.79706i | 0.0278494 | − | 0.00283390i | ||||
\(988\) | 252.875 | + | 778.270i | 0.255947 | + | 0.787723i | ||||
\(989\) | − | 1051.16i | − | 1.06285i | ||||||
\(990\) | 300.502 | − | 312.880i | 0.303537 | − | 0.316040i | ||||
\(991\) | 184.894 | 0.186573 | 0.0932867 | − | 0.995639i | \(-0.470263\pi\) | ||||
0.0932867 | + | 0.995639i | \(0.470263\pi\) | |||||||
\(992\) | 966.603 | − | 314.068i | 0.974398 | − | 0.316601i | ||||
\(993\) | −30.4980 | − | 299.711i | −0.0307130 | − | 0.301824i | ||||
\(994\) | −153.087 | + | 111.224i | −0.154011 | + | 0.111896i | ||||
\(995\) | 82.5774 | + | 26.8310i | 0.0829924 | + | 0.0269659i | ||||
\(996\) | 400.346 | + | 907.264i | 0.401954 | + | 0.910908i | ||||
\(997\) | −180.405 | + | 131.072i | −0.180948 | + | 0.131466i | −0.674572 | − | 0.738209i | \(-0.735672\pi\) |
0.493624 | + | 0.869675i | \(0.335672\pi\) | |||||||
\(998\) | −176.771 | + | 243.305i | −0.177126 | + | 0.243793i | ||||
\(999\) | 641.798 | + | 476.104i | 0.642441 | + | 0.476581i |
(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.a.5.1 | ✓ | 8 | |
3.2 | odd | 2 | inner | 33.3.h.a.5.2 | yes | 8 | |
11.2 | odd | 10 | 363.3.h.g.251.1 | 8 | |||
11.3 | even | 5 | 363.3.b.f.122.3 | 4 | |||
11.4 | even | 5 | 363.3.h.h.245.1 | 8 | |||
11.5 | even | 5 | 363.3.h.h.323.2 | 8 | |||
11.6 | odd | 10 | 363.3.h.i.323.1 | 8 | |||
11.7 | odd | 10 | 363.3.h.i.245.2 | 8 | |||
11.8 | odd | 10 | 363.3.b.g.122.1 | 4 | |||
11.9 | even | 5 | inner | 33.3.h.a.20.2 | yes | 8 | |
11.10 | odd | 2 | 363.3.h.g.269.2 | 8 | |||
33.2 | even | 10 | 363.3.h.g.251.2 | 8 | |||
33.5 | odd | 10 | 363.3.h.h.323.1 | 8 | |||
33.8 | even | 10 | 363.3.b.g.122.4 | 4 | |||
33.14 | odd | 10 | 363.3.b.f.122.2 | 4 | |||
33.17 | even | 10 | 363.3.h.i.323.2 | 8 | |||
33.20 | odd | 10 | inner | 33.3.h.a.20.1 | yes | 8 | |
33.26 | odd | 10 | 363.3.h.h.245.2 | 8 | |||
33.29 | even | 10 | 363.3.h.i.245.1 | 8 | |||
33.32 | even | 2 | 363.3.h.g.269.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.3.h.a.5.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
33.3.h.a.5.2 | yes | 8 | 3.2 | odd | 2 | inner | |
33.3.h.a.20.1 | yes | 8 | 33.20 | odd | 10 | inner | |
33.3.h.a.20.2 | yes | 8 | 11.9 | even | 5 | inner | |
363.3.b.f.122.2 | 4 | 33.14 | odd | 10 | |||
363.3.b.f.122.3 | 4 | 11.3 | even | 5 | |||
363.3.b.g.122.1 | 4 | 11.8 | odd | 10 | |||
363.3.b.g.122.4 | 4 | 33.8 | even | 10 | |||
363.3.h.g.251.1 | 8 | 11.2 | odd | 10 | |||
363.3.h.g.251.2 | 8 | 33.2 | even | 10 | |||
363.3.h.g.269.1 | 8 | 33.32 | even | 2 | |||
363.3.h.g.269.2 | 8 | 11.10 | odd | 2 | |||
363.3.h.h.245.1 | 8 | 11.4 | even | 5 | |||
363.3.h.h.245.2 | 8 | 33.26 | odd | 10 | |||
363.3.h.h.323.1 | 8 | 33.5 | odd | 10 | |||
363.3.h.h.323.2 | 8 | 11.5 | even | 5 | |||
363.3.h.i.245.1 | 8 | 33.29 | even | 10 | |||
363.3.h.i.245.2 | 8 | 11.7 | odd | 10 | |||
363.3.h.i.323.1 | 8 | 11.6 | odd | 10 | |||
363.3.h.i.323.2 | 8 | 33.17 | even | 10 |