Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(29,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.m (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: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.2 | ||
Character | \(\chi\) | \(=\) | 350.29 |
Dual form | 350.2.m.a.169.2 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.951057 | − | 0.309017i | −0.672499 | − | 0.218508i | ||||
\(3\) | 0.310301 | − | 0.427092i | 0.179152 | − | 0.246582i | −0.709991 | − | 0.704211i | \(-0.751301\pi\) |
0.889143 | + | 0.457629i | \(0.151301\pi\) | |||||||
\(4\) | 0.809017 | + | 0.587785i | 0.404508 | + | 0.293893i | ||||
\(5\) | 1.73700 | + | 1.40813i | 0.776810 | + | 0.629736i | ||||
\(6\) | −0.427092 | + | 0.310301i | −0.174360 | + | 0.126680i | ||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | −0.587785 | − | 0.809017i | −0.207813 | − | 0.286031i | ||||
\(9\) | 0.840930 | + | 2.58812i | 0.280310 | + | 0.862705i | ||||
\(10\) | −1.21685 | − | 1.87597i | −0.384801 | − | 0.593235i | ||||
\(11\) | −0.793851 | + | 2.44322i | −0.239355 | + | 0.736659i | 0.757159 | + | 0.653231i | \(0.226587\pi\) |
−0.996514 | + | 0.0834282i | \(0.973413\pi\) | |||||||
\(12\) | 0.502077 | − | 0.163135i | 0.144937 | − | 0.0470929i | ||||
\(13\) | −3.01682 | + | 0.980226i | −0.836717 | + | 0.271866i | −0.695872 | − | 0.718166i | \(-0.744982\pi\) |
−0.140845 | + | 0.990032i | \(0.544982\pi\) | |||||||
\(14\) | 0.309017 | − | 0.951057i | 0.0825883 | − | 0.254181i | ||||
\(15\) | 1.14039 | − | 0.304915i | 0.294448 | − | 0.0787286i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 0.00697007 | + | 0.00959347i | 0.00169049 | + | 0.00232676i | 0.809861 | − | 0.586621i | \(-0.199542\pi\) |
−0.808171 | + | 0.588948i | \(0.799542\pi\) | |||||||
\(18\) | − | 2.72131i | − | 0.641418i | ||||||
\(19\) | 0.938159 | − | 0.681613i | 0.215229 | − | 0.156373i | −0.474948 | − | 0.880014i | \(-0.657533\pi\) |
0.690176 | + | 0.723641i | \(0.257533\pi\) | |||||||
\(20\) | 0.577583 | + | 2.16018i | 0.129151 | + | 0.483032i | ||||
\(21\) | 0.427092 | + | 0.310301i | 0.0931992 | + | 0.0677132i | ||||
\(22\) | 1.50999 | − | 2.07833i | 0.321932 | − | 0.443101i | ||||
\(23\) | −2.24222 | − | 0.728540i | −0.467534 | − | 0.151911i | 0.0657695 | − | 0.997835i | \(-0.479050\pi\) |
−0.533304 | + | 0.845924i | \(0.679050\pi\) | |||||||
\(24\) | −0.527915 | −0.107760 | ||||||||
\(25\) | 1.03433 | + | 4.89185i | 0.206866 | + | 0.978369i | ||||
\(26\) | 3.17208 | 0.622095 | ||||||||
\(27\) | 2.87254 | + | 0.933344i | 0.552820 | + | 0.179622i | ||||
\(28\) | −0.587785 | + | 0.809017i | −0.111081 | + | 0.152890i | ||||
\(29\) | 1.76399 | + | 1.28162i | 0.327566 | + | 0.237990i | 0.739397 | − | 0.673270i | \(-0.235111\pi\) |
−0.411831 | + | 0.911260i | \(0.635111\pi\) | |||||||
\(30\) | −1.17880 | − | 0.0624101i | −0.215219 | − | 0.0113945i | ||||
\(31\) | 2.70035 | − | 1.96192i | 0.484997 | − | 0.352371i | −0.318260 | − | 0.948003i | \(-0.603098\pi\) |
0.803257 | + | 0.595632i | \(0.203098\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0.797149 | + | 1.09718i | 0.138766 | + | 0.190995i | ||||
\(34\) | −0.00366438 | − | 0.0112778i | −0.000628436 | − | 0.00193413i | ||||
\(35\) | −1.40813 | + | 1.73700i | −0.238018 | + | 0.293606i | ||||
\(36\) | −0.840930 | + | 2.58812i | −0.140155 | + | 0.431353i | ||||
\(37\) | 10.1998 | − | 3.31412i | 1.67684 | − | 0.544837i | 0.692543 | − | 0.721376i | \(-0.256490\pi\) |
0.984294 | + | 0.176539i | \(0.0564901\pi\) | |||||||
\(38\) | −1.10287 | + | 0.358345i | −0.178910 | + | 0.0581312i | ||||
\(39\) | −0.517476 | + | 1.59263i | −0.0828625 | + | 0.255024i | ||||
\(40\) | 0.118220 | − | 2.23294i | 0.0186922 | − | 0.353059i | ||||
\(41\) | 2.05670 | + | 6.32986i | 0.321202 | + | 0.988558i | 0.973126 | + | 0.230274i | \(0.0739621\pi\) |
−0.651924 | + | 0.758284i | \(0.726038\pi\) | |||||||
\(42\) | −0.310301 | − | 0.427092i | −0.0478804 | − | 0.0659018i | ||||
\(43\) | − | 10.8385i | − | 1.65285i | −0.563045 | − | 0.826426i | \(-0.690370\pi\) | ||
0.563045 | − | 0.826426i | \(-0.309630\pi\) | |||||||
\(44\) | −2.07833 | + | 1.50999i | −0.313320 | + | 0.227640i | ||||
\(45\) | −2.18371 | + | 5.67969i | −0.325529 | + | 0.846679i | ||||
\(46\) | 1.90734 | + | 1.38577i | 0.281222 | + | 0.204320i | ||||
\(47\) | 5.05571 | − | 6.95858i | 0.737451 | − | 1.01501i | −0.261311 | − | 0.965255i | \(-0.584155\pi\) |
0.998761 | − | 0.0497589i | \(-0.0158453\pi\) | |||||||
\(48\) | 0.502077 | + | 0.163135i | 0.0724686 | + | 0.0235465i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 0.527956 | − | 4.97205i | 0.0746643 | − | 0.703154i | ||||
\(51\) | 0.00626011 | 0.000876591 | ||||||||
\(52\) | −3.01682 | − | 0.980226i | −0.418358 | − | 0.135933i | ||||
\(53\) | −6.39017 | + | 8.79532i | −0.877758 | + | 1.20813i | 0.0992790 | + | 0.995060i | \(0.468346\pi\) |
−0.977037 | + | 0.213070i | \(0.931654\pi\) | |||||||
\(54\) | −2.44353 | − | 1.77533i | −0.332522 | − | 0.241591i | ||||
\(55\) | −4.81930 | + | 3.12603i | −0.649834 | + | 0.421513i | ||||
\(56\) | 0.809017 | − | 0.587785i | 0.108109 | − | 0.0785461i | ||||
\(57\) | − | 0.612185i | − | 0.0810859i | ||||||
\(58\) | −1.28162 | − | 1.76399i | −0.168285 | − | 0.231624i | ||||
\(59\) | 2.71379 | + | 8.35218i | 0.353305 | + | 1.08736i | 0.956986 | + | 0.290135i | \(0.0937003\pi\) |
−0.603680 | + | 0.797226i | \(0.706300\pi\) | |||||||
\(60\) | 1.10182 | + | 0.423626i | 0.142245 | + | 0.0546898i | ||||
\(61\) | 3.61919 | − | 11.1387i | 0.463390 | − | 1.42617i | −0.397607 | − | 0.917556i | \(-0.630159\pi\) |
0.860997 | − | 0.508611i | \(-0.169841\pi\) | |||||||
\(62\) | −3.17445 | + | 1.03144i | −0.403156 | + | 0.130993i | ||||
\(63\) | −2.58812 | + | 0.840930i | −0.326072 | + | 0.105947i | ||||
\(64\) | −0.309017 | + | 0.951057i | −0.0386271 | + | 0.118882i | ||||
\(65\) | −6.62051 | − | 2.54543i | −0.821173 | − | 0.315722i | ||||
\(66\) | −0.419086 | − | 1.28981i | −0.0515859 | − | 0.158765i | ||||
\(67\) | −4.33622 | − | 5.96830i | −0.529754 | − | 0.729144i | 0.457339 | − | 0.889292i | \(-0.348803\pi\) |
−0.987093 | + | 0.160149i | \(0.948803\pi\) | |||||||
\(68\) | 0.0118582i | 0.00143802i | ||||||||
\(69\) | −1.00692 | + | 0.731567i | −0.121218 | + | 0.0880703i | ||||
\(70\) | 1.87597 | − | 1.21685i | 0.224222 | − | 0.145441i | ||||
\(71\) | 2.26208 | + | 1.64350i | 0.268459 | + | 0.195047i | 0.713868 | − | 0.700280i | \(-0.246942\pi\) |
−0.445409 | + | 0.895327i | \(0.646942\pi\) | |||||||
\(72\) | 1.59954 | − | 2.20158i | 0.188508 | − | 0.259459i | ||||
\(73\) | −6.83196 | − | 2.21984i | −0.799621 | − | 0.259812i | −0.119425 | − | 0.992843i | \(-0.538105\pi\) |
−0.680196 | + | 0.733031i | \(0.738105\pi\) | |||||||
\(74\) | −10.7247 | −1.24672 | ||||||||
\(75\) | 2.41022 | + | 1.07619i | 0.278309 | + | 0.124268i | ||||
\(76\) | 1.15963 | 0.133019 | ||||||||
\(77\) | −2.44322 | − | 0.793851i | −0.278431 | − | 0.0904677i | ||||
\(78\) | 0.984298 | − | 1.35477i | 0.111450 | − | 0.153397i | ||||
\(79\) | −9.57198 | − | 6.95445i | −1.07693 | − | 0.782437i | −0.0997867 | − | 0.995009i | \(-0.531816\pi\) |
−0.977145 | + | 0.212572i | \(0.931816\pi\) | |||||||
\(80\) | −0.802450 | + | 2.08712i | −0.0897167 | + | 0.233347i | ||||
\(81\) | −5.31477 | + | 3.86141i | −0.590530 | + | 0.429045i | ||||
\(82\) | − | 6.65561i | − | 0.734989i | ||||||
\(83\) | −6.48822 | − | 8.93027i | −0.712175 | − | 0.980224i | −0.999748 | − | 0.0224656i | \(-0.992848\pi\) |
0.287573 | − | 0.957759i | \(-0.407152\pi\) | |||||||
\(84\) | 0.163135 | + | 0.502077i | 0.0177995 | + | 0.0547811i | ||||
\(85\) | −0.00140187 | + | 0.0264786i | −0.000152055 | + | 0.00287201i | ||||
\(86\) | −3.34927 | + | 10.3080i | −0.361162 | + | 1.11154i | ||||
\(87\) | 1.09474 | − | 0.355702i | 0.117368 | − | 0.0381352i | ||||
\(88\) | 2.44322 | − | 0.793851i | 0.260448 | − | 0.0846248i | ||||
\(89\) | 2.71414 | − | 8.35325i | 0.287698 | − | 0.885443i | −0.697879 | − | 0.716215i | \(-0.745873\pi\) |
0.985577 | − | 0.169227i | \(-0.0541272\pi\) | |||||||
\(90\) | 3.83196 | − | 4.72691i | 0.403924 | − | 0.498260i | ||||
\(91\) | −0.980226 | − | 3.01682i | −0.102756 | − | 0.316249i | ||||
\(92\) | −1.38577 | − | 1.90734i | −0.144476 | − | 0.198854i | ||||
\(93\) | − | 1.76208i | − | 0.182720i | ||||||
\(94\) | −6.95858 | + | 5.05571i | −0.717723 | + | 0.521456i | ||||
\(95\) | 2.58938 | + | 0.137091i | 0.265665 | + | 0.0140653i | ||||
\(96\) | −0.427092 | − | 0.310301i | −0.0435899 | − | 0.0316699i | ||||
\(97\) | 3.17565 | − | 4.37091i | 0.322438 | − | 0.443798i | −0.616771 | − | 0.787142i | \(-0.711560\pi\) |
0.939210 | + | 0.343344i | \(0.111560\pi\) | |||||||
\(98\) | 0.951057 | + | 0.309017i | 0.0960712 | + | 0.0312154i | ||||
\(99\) | −6.99091 | −0.702613 | ||||||||
\(100\) | −2.03856 | + | 4.56555i | −0.203856 | + | 0.456555i | ||||
\(101\) | 5.01343 | 0.498855 | 0.249427 | − | 0.968394i | \(-0.419758\pi\) | ||||
0.249427 | + | 0.968394i | \(0.419758\pi\) | |||||||
\(102\) | −0.00595372 | − | 0.00193448i | −0.000589506 | − | 0.000191542i | ||||
\(103\) | 1.55705 | − | 2.14309i | 0.153420 | − | 0.211165i | −0.725388 | − | 0.688341i | \(-0.758339\pi\) |
0.878808 | + | 0.477176i | \(0.158339\pi\) | |||||||
\(104\) | 2.56626 | + | 1.86450i | 0.251643 | + | 0.182829i | ||||
\(105\) | 0.304915 | + | 1.14039i | 0.0297566 | + | 0.111291i | ||||
\(106\) | 8.79532 | − | 6.39017i | 0.854277 | − | 0.620669i | ||||
\(107\) | 4.72706i | 0.456982i | 0.973546 | + | 0.228491i | \(0.0733792\pi\) | ||||
−0.973546 | + | 0.228491i | \(0.926621\pi\) | |||||||
\(108\) | 1.77533 | + | 2.44353i | 0.170831 | + | 0.235128i | ||||
\(109\) | 1.11184 | + | 3.42189i | 0.106495 | + | 0.327758i | 0.990078 | − | 0.140516i | \(-0.0448761\pi\) |
−0.883583 | + | 0.468274i | \(0.844876\pi\) | |||||||
\(110\) | 5.54942 | − | 1.48378i | 0.529116 | − | 0.141473i | ||||
\(111\) | 1.74957 | − | 5.38463i | 0.166062 | − | 0.511086i | ||||
\(112\) | −0.951057 | + | 0.309017i | −0.0898664 | + | 0.0291994i | ||||
\(113\) | −10.9324 | + | 3.55215i | −1.02843 | + | 0.334158i | −0.774170 | − | 0.632978i | \(-0.781833\pi\) |
−0.254262 | + | 0.967135i | \(0.581833\pi\) | |||||||
\(114\) | −0.189176 | + | 0.582223i | −0.0177179 | + | 0.0545302i | ||||
\(115\) | −2.86885 | − | 4.42281i | −0.267521 | − | 0.412429i | ||||
\(116\) | 0.673786 | + | 2.07370i | 0.0625595 | + | 0.192538i | ||||
\(117\) | −5.07387 | − | 6.98359i | −0.469080 | − | 0.645633i | ||||
\(118\) | − | 8.78201i | − | 0.808449i | ||||||
\(119\) | −0.00959347 | + | 0.00697007i | −0.000879432 | + | 0.000638945i | ||||
\(120\) | −0.916988 | − | 0.743374i | −0.0837092 | − | 0.0678604i | ||||
\(121\) | 3.56005 | + | 2.58653i | 0.323641 | + | 0.235139i | ||||
\(122\) | −6.88411 | + | 9.47516i | −0.623258 | + | 0.857841i | ||||
\(123\) | 3.34163 | + | 1.08576i | 0.301304 | + | 0.0978998i | ||||
\(124\) | 3.33782 | 0.299745 | ||||||||
\(125\) | −5.09173 | + | 9.95361i | −0.455418 | + | 0.890278i | ||||
\(126\) | 2.72131 | 0.242433 | ||||||||
\(127\) | 20.0693 | + | 6.52090i | 1.78086 | + | 0.578636i | 0.998995 | − | 0.0448128i | \(-0.0142691\pi\) |
0.781864 | + | 0.623449i | \(0.214269\pi\) | |||||||
\(128\) | 0.587785 | − | 0.809017i | 0.0519534 | − | 0.0715077i | ||||
\(129\) | −4.62903 | − | 3.36319i | −0.407563 | − | 0.296112i | ||||
\(130\) | 5.50989 | + | 4.46670i | 0.483250 | + | 0.391756i | ||||
\(131\) | 6.01064 | − | 4.36699i | 0.525152 | − | 0.381545i | −0.293389 | − | 0.955993i | \(-0.594783\pi\) |
0.818541 | + | 0.574448i | \(0.194783\pi\) | |||||||
\(132\) | 1.35619i | 0.118041i | ||||||||
\(133\) | 0.681613 | + | 0.938159i | 0.0591033 | + | 0.0813487i | ||||
\(134\) | 2.27969 | + | 7.01615i | 0.196935 | + | 0.606103i | ||||
\(135\) | 3.67532 | + | 5.66613i | 0.316321 | + | 0.487662i | ||||
\(136\) | 0.00366438 | − | 0.0112778i | 0.000314218 | − | 0.000967064i | ||||
\(137\) | −4.03872 | + | 1.31226i | −0.345051 | + | 0.112114i | −0.476415 | − | 0.879220i | \(-0.658064\pi\) |
0.131365 | + | 0.991334i | \(0.458064\pi\) | |||||||
\(138\) | 1.18370 | − | 0.384607i | 0.100763 | − | 0.0327400i | ||||
\(139\) | 3.17407 | − | 9.76880i | 0.269221 | − | 0.828579i | −0.721469 | − | 0.692447i | \(-0.756533\pi\) |
0.990691 | − | 0.136132i | \(-0.0434671\pi\) | |||||||
\(140\) | −2.16018 | + | 0.577583i | −0.182569 | + | 0.0488147i | ||||
\(141\) | −1.40317 | − | 4.31851i | −0.118168 | − | 0.363684i | ||||
\(142\) | −1.64350 | − | 2.26208i | −0.137919 | − | 0.189829i | ||||
\(143\) | − | 8.14892i | − | 0.681447i | ||||||
\(144\) | −2.20158 | + | 1.59954i | −0.183465 | + | 0.133295i | ||||
\(145\) | 1.25937 | + | 4.71010i | 0.104585 | + | 0.391153i | ||||
\(146\) | 5.81161 | + | 4.22238i | 0.480973 | + | 0.349447i | ||||
\(147\) | −0.310301 | + | 0.427092i | −0.0255932 | + | 0.0352260i | ||||
\(148\) | 10.1998 | + | 3.31412i | 0.838419 | + | 0.272419i | ||||
\(149\) | −5.05554 | −0.414166 | −0.207083 | − | 0.978323i | \(-0.566397\pi\) | ||||
−0.207083 | + | 0.978323i | \(0.566397\pi\) | |||||||
\(150\) | −1.95970 | − | 1.76832i | −0.160009 | − | 0.144382i | ||||
\(151\) | −20.0482 | −1.63150 | −0.815748 | − | 0.578408i | \(-0.803674\pi\) | ||||
−0.815748 | + | 0.578408i | \(0.803674\pi\) | |||||||
\(152\) | −1.10287 | − | 0.358345i | −0.0894548 | − | 0.0290656i | ||||
\(153\) | −0.0189677 | + | 0.0261068i | −0.00153345 | + | 0.00211061i | ||||
\(154\) | 2.07833 | + | 1.50999i | 0.167476 | + | 0.121679i | ||||
\(155\) | 7.45315 | + | 0.394597i | 0.598651 | + | 0.0316948i | ||||
\(156\) | −1.35477 | + | 0.984298i | −0.108468 | + | 0.0788069i | ||||
\(157\) | 6.27754i | 0.501002i | 0.968116 | + | 0.250501i | \(0.0805954\pi\) | ||||
−0.968116 | + | 0.250501i | \(0.919405\pi\) | |||||||
\(158\) | 6.95445 | + | 9.57198i | 0.553267 | + | 0.761506i | ||||
\(159\) | 1.77354 | + | 5.45839i | 0.140651 | + | 0.432878i | ||||
\(160\) | 1.40813 | − | 1.73700i | 0.111323 | − | 0.137322i | ||||
\(161\) | 0.728540 | − | 2.24222i | 0.0574170 | − | 0.176711i | ||||
\(162\) | 6.24789 | − | 2.03006i | 0.490881 | − | 0.159497i | ||||
\(163\) | −0.181385 | + | 0.0589357i | −0.0142072 | + | 0.00461620i | −0.316112 | − | 0.948722i | \(-0.602378\pi\) |
0.301905 | + | 0.953338i | \(0.402378\pi\) | |||||||
\(164\) | −2.05670 | + | 6.32986i | −0.160601 | + | 0.494279i | ||||
\(165\) | −0.160329 | + | 3.02829i | −0.0124816 | + | 0.235752i | ||||
\(166\) | 3.41106 | + | 10.4982i | 0.264750 | + | 0.814815i | ||||
\(167\) | 1.88481 | + | 2.59422i | 0.145851 | + | 0.200747i | 0.875692 | − | 0.482871i | \(-0.160406\pi\) |
−0.729841 | + | 0.683617i | \(0.760406\pi\) | |||||||
\(168\) | − | 0.527915i | − | 0.0407295i | ||||||
\(169\) | −2.37683 | + | 1.72687i | −0.182833 | + | 0.132836i | ||||
\(170\) | 0.00951561 | − | 0.0247495i | 0.000729814 | − | 0.00189820i | ||||
\(171\) | 2.55302 | + | 1.85488i | 0.195234 | + | 0.141846i | ||||
\(172\) | 6.37070 | − | 8.76851i | 0.485761 | − | 0.668593i | ||||
\(173\) | 16.7682 | + | 5.44832i | 1.27486 | + | 0.414228i | 0.866768 | − | 0.498712i | \(-0.166193\pi\) |
0.408095 | + | 0.912940i | \(0.366193\pi\) | |||||||
\(174\) | −1.15108 | −0.0872628 | ||||||||
\(175\) | −4.89185 | + | 1.03433i | −0.369789 | + | 0.0781881i | ||||
\(176\) | −2.56896 | −0.193642 | ||||||||
\(177\) | 4.40924 | + | 1.43265i | 0.331419 | + | 0.107685i | ||||
\(178\) | −5.16259 | + | 7.10570i | −0.386953 | + | 0.532595i | ||||
\(179\) | −10.8320 | − | 7.86994i | −0.809625 | − | 0.588227i | 0.104097 | − | 0.994567i | \(-0.466805\pi\) |
−0.913722 | + | 0.406340i | \(0.866805\pi\) | |||||||
\(180\) | −5.10510 | + | 3.31141i | −0.380512 | + | 0.246818i | ||||
\(181\) | 12.8063 | − | 9.30431i | 0.951883 | − | 0.691584i | 0.000631630 | − | 1.00000i | \(-0.499799\pi\) |
0.951252 | + | 0.308416i | \(0.0997989\pi\) | |||||||
\(182\) | 3.17208i | 0.235130i | ||||||||
\(183\) | −3.63422 | − | 5.00208i | −0.268650 | − | 0.369764i | ||||
\(184\) | 0.728540 | + | 2.24222i | 0.0537087 | + | 0.165298i | ||||
\(185\) | 22.3838 | + | 8.60605i | 1.64569 | + | 0.632729i | ||||
\(186\) | −0.544514 | + | 1.67584i | −0.0399257 | + | 0.122879i | ||||
\(187\) | −0.0289722 | + | 0.00941363i | −0.00211866 | + | 0.000688393i | ||||
\(188\) | 8.18031 | − | 2.65794i | 0.596610 | − | 0.193850i | ||||
\(189\) | −0.933344 | + | 2.87254i | −0.0678908 | + | 0.208946i | ||||
\(190\) | −2.42029 | − | 0.930545i | −0.175586 | − | 0.0675088i | ||||
\(191\) | 0.840195 | + | 2.58585i | 0.0607944 | + | 0.187106i | 0.976841 | − | 0.213965i | \(-0.0686380\pi\) |
−0.916047 | + | 0.401071i | \(0.868638\pi\) | |||||||
\(192\) | 0.310301 | + | 0.427092i | 0.0223940 | + | 0.0308227i | ||||
\(193\) | 4.00500i | 0.288286i | 0.989557 | + | 0.144143i | \(0.0460426\pi\) | ||||
−0.989557 | + | 0.144143i | \(0.953957\pi\) | |||||||
\(194\) | −4.37091 | + | 3.17565i | −0.313813 | + | 0.227998i | ||||
\(195\) | −3.14148 | + | 2.03772i | −0.224966 | + | 0.145924i | ||||
\(196\) | −0.809017 | − | 0.587785i | −0.0577869 | − | 0.0419847i | ||||
\(197\) | −8.00830 | + | 11.0225i | −0.570568 | + | 0.785319i | −0.992622 | − | 0.121252i | \(-0.961309\pi\) |
0.422054 | + | 0.906571i | \(0.361309\pi\) | |||||||
\(198\) | 6.64875 | + | 2.16031i | 0.472506 | + | 0.153527i | ||||
\(199\) | 24.0565 | 1.70532 | 0.852659 | − | 0.522468i | \(-0.174989\pi\) | ||||
0.852659 | + | 0.522468i | \(0.174989\pi\) | |||||||
\(200\) | 3.34962 | − | 3.71215i | 0.236854 | − | 0.262488i | ||||
\(201\) | −3.89455 | −0.274700 | ||||||||
\(202\) | −4.76805 | − | 1.54923i | −0.335479 | − | 0.109004i | ||||
\(203\) | −1.28162 | + | 1.76399i | −0.0899519 | + | 0.123808i | ||||
\(204\) | 0.00506454 | + | 0.00367960i | 0.000354589 | + | 0.000257624i | ||||
\(205\) | −5.34080 | + | 13.8911i | −0.373017 | + | 0.970194i | ||||
\(206\) | −2.14309 | + | 1.55705i | −0.149316 | + | 0.108485i | ||||
\(207\) | − | 6.41577i | − | 0.445927i | ||||||
\(208\) | −1.86450 | − | 2.56626i | −0.129280 | − | 0.177938i | ||||
\(209\) | 0.920572 | + | 2.83323i | 0.0636773 | + | 0.195979i | ||||
\(210\) | 0.0624101 | − | 1.17880i | 0.00430671 | − | 0.0813451i | ||||
\(211\) | 1.52748 | − | 4.70111i | 0.105156 | − | 0.323637i | −0.884611 | − | 0.466330i | \(-0.845576\pi\) |
0.989767 | + | 0.142692i | \(0.0455760\pi\) | |||||||
\(212\) | −10.3395 | + | 3.35951i | −0.710121 | + | 0.230732i | ||||
\(213\) | 1.40385 | − | 0.456138i | 0.0961902 | − | 0.0312541i | ||||
\(214\) | 1.46074 | − | 4.49570i | 0.0998543 | − | 0.307320i | ||||
\(215\) | 15.2620 | − | 18.8264i | 1.04086 | − | 1.28395i | ||||
\(216\) | −0.933344 | − | 2.87254i | −0.0635060 | − | 0.195451i | ||||
\(217\) | 1.96192 | + | 2.70035i | 0.133184 | + | 0.183312i | ||||
\(218\) | − | 3.59799i | − | 0.243687i | ||||||
\(219\) | −3.06804 | + | 2.22906i | −0.207319 | + | 0.150626i | ||||
\(220\) | −5.73633 | − | 0.303702i | −0.386743 | − | 0.0204756i | ||||
\(221\) | −0.0304312 | − | 0.0221096i | −0.00204703 | − | 0.00148725i | ||||
\(222\) | −3.32788 | + | 4.58044i | −0.223353 | + | 0.307419i | ||||
\(223\) | 12.3425 | + | 4.01031i | 0.826513 | + | 0.268550i | 0.691576 | − | 0.722304i | \(-0.256917\pi\) |
0.134937 | + | 0.990854i | \(0.456917\pi\) | |||||||
\(224\) | 1.00000 | 0.0668153 | ||||||||
\(225\) | −11.7909 | + | 6.79067i | −0.786058 | + | 0.452711i | ||||
\(226\) | 11.4950 | 0.764635 | ||||||||
\(227\) | −5.60413 | − | 1.82089i | −0.371959 | − | 0.120857i | 0.117071 | − | 0.993123i | \(-0.462649\pi\) |
−0.489031 | + | 0.872267i | \(0.662649\pi\) | |||||||
\(228\) | 0.359834 | − | 0.495268i | 0.0238306 | − | 0.0328000i | ||||
\(229\) | −7.40014 | − | 5.37652i | −0.489015 | − | 0.355290i | 0.315790 | − | 0.948829i | \(-0.397730\pi\) |
−0.804805 | + | 0.593539i | \(0.797730\pi\) | |||||||
\(230\) | 1.36171 | + | 5.09286i | 0.0897887 | + | 0.335814i | ||||
\(231\) | −1.09718 | + | 0.797149i | −0.0721892 | + | 0.0524485i | ||||
\(232\) | − | 2.18042i | − | 0.143151i | ||||||
\(233\) | 6.55585 | + | 9.02336i | 0.429488 | + | 0.591140i | 0.967836 | − | 0.251583i | \(-0.0809512\pi\) |
−0.538347 | + | 0.842723i | \(0.680951\pi\) | |||||||
\(234\) | 2.66749 | + | 8.20970i | 0.174380 | + | 0.536685i | ||||
\(235\) | 18.5804 | − | 4.96795i | 1.21205 | − | 0.324073i | ||||
\(236\) | −2.71379 | + | 8.35218i | −0.176653 | + | 0.543681i | ||||
\(237\) | −5.94039 | + | 1.93015i | −0.385870 | + | 0.125377i | ||||
\(238\) | 0.0112778 | − | 0.00366438i | 0.000731031 | − | 0.000237527i | ||||
\(239\) | 5.77221 | − | 17.7650i | 0.373373 | − | 1.14912i | −0.571197 | − | 0.820813i | \(-0.693521\pi\) |
0.944570 | − | 0.328311i | \(-0.106479\pi\) | |||||||
\(240\) | 0.642392 | + | 0.990355i | 0.0414662 | + | 0.0639272i | ||||
\(241\) | −5.07425 | − | 15.6169i | −0.326861 | − | 1.00597i | −0.970594 | − | 0.240724i | \(-0.922615\pi\) |
0.643733 | − | 0.765250i | \(-0.277385\pi\) | |||||||
\(242\) | −2.58653 | − | 3.56005i | −0.166268 | − | 0.228849i | ||||
\(243\) | 12.5292i | 0.803748i | ||||||||
\(244\) | 9.47516 | − | 6.88411i | 0.606585 | − | 0.440710i | ||||
\(245\) | −1.73700 | − | 1.40813i | −0.110973 | − | 0.0899622i | ||||
\(246\) | −2.84256 | − | 2.06524i | −0.181235 | − | 0.131675i | ||||
\(247\) | −2.16213 | + | 2.97591i | −0.137573 | + | 0.189353i | ||||
\(248\) | −3.17445 | − | 1.03144i | −0.201578 | − | 0.0654966i | ||||
\(249\) | −5.82735 | −0.369293 | ||||||||
\(250\) | 7.91836 | − | 7.89301i | 0.500801 | − | 0.499198i | ||||
\(251\) | −6.82263 | −0.430640 | −0.215320 | − | 0.976543i | \(-0.569080\pi\) | ||||
−0.215320 | + | 0.976543i | \(0.569080\pi\) | |||||||
\(252\) | −2.58812 | − | 0.840930i | −0.163036 | − | 0.0529736i | ||||
\(253\) | 3.55997 | − | 4.89988i | 0.223813 | − | 0.308053i | ||||
\(254\) | −17.0719 | − | 12.4035i | −1.07119 | − | 0.778264i | ||||
\(255\) | 0.0108738 | + | 0.00881507i | 0.000680945 | + | 0.000552021i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 3.25905i | 0.203294i | 0.994821 | + | 0.101647i | \(0.0324112\pi\) | ||||
−0.994821 | + | 0.101647i | \(0.967589\pi\) | |||||||
\(258\) | 3.36319 | + | 4.62903i | 0.209383 | + | 0.288191i | ||||
\(259\) | 3.31412 | + | 10.1998i | 0.205929 | + | 0.633785i | ||||
\(260\) | −3.85993 | − | 5.95074i | −0.239383 | − | 0.369049i | ||||
\(261\) | −1.83358 | + | 5.64317i | −0.113496 | + | 0.349304i | ||||
\(262\) | −7.06593 | + | 2.29586i | −0.436535 | + | 0.141839i | ||||
\(263\) | −19.8171 | + | 6.43898i | −1.22198 | + | 0.397045i | −0.847802 | − | 0.530313i | \(-0.822074\pi\) |
−0.374176 | + | 0.927358i | \(0.622074\pi\) | |||||||
\(264\) | 0.419086 | − | 1.28981i | 0.0257930 | − | 0.0793825i | ||||
\(265\) | −23.4847 | + | 6.27926i | −1.44265 | + | 0.385732i | ||||
\(266\) | −0.358345 | − | 1.10287i | −0.0219715 | − | 0.0676215i | ||||
\(267\) | −2.72541 | − | 3.75121i | −0.166792 | − | 0.229570i | ||||
\(268\) | − | 7.37722i | − | 0.450636i | ||||||
\(269\) | 24.9456 | − | 18.1240i | 1.52096 | − | 1.10504i | 0.559947 | − | 0.828529i | \(-0.310822\pi\) |
0.961011 | − | 0.276512i | \(-0.0891784\pi\) | |||||||
\(270\) | −1.74451 | − | 6.52454i | −0.106167 | − | 0.397071i | ||||
\(271\) | −16.7335 | − | 12.1576i | −1.01648 | − | 0.738519i | −0.0509254 | − | 0.998702i | \(-0.516217\pi\) |
−0.965559 | + | 0.260183i | \(0.916217\pi\) | |||||||
\(272\) | −0.00697007 | + | 0.00959347i | −0.000422622 | + | 0.000581690i | ||||
\(273\) | −1.59263 | − | 0.517476i | −0.0963902 | − | 0.0313191i | ||||
\(274\) | 4.24656 | 0.256544 | ||||||||
\(275\) | −12.7730 | − | 1.35630i | −0.770239 | − | 0.0817877i | ||||
\(276\) | −1.24462 | −0.0749171 | ||||||||
\(277\) | −1.89277 | − | 0.614998i | −0.113725 | − | 0.0369516i | 0.251601 | − | 0.967831i | \(-0.419043\pi\) |
−0.365327 | + | 0.930879i | \(0.619043\pi\) | |||||||
\(278\) | −6.03745 | + | 8.30984i | −0.362102 | + | 0.498391i | ||||
\(279\) | 7.34848 | + | 5.33898i | 0.439942 | + | 0.319636i | ||||
\(280\) | 2.23294 | + | 0.118220i | 0.133444 | + | 0.00706499i | ||||
\(281\) | −8.91578 | + | 6.47769i | −0.531871 | + | 0.386427i | −0.821057 | − | 0.570846i | \(-0.806615\pi\) |
0.289186 | + | 0.957273i | \(0.406615\pi\) | |||||||
\(282\) | 4.54075i | 0.270398i | ||||||||
\(283\) | −15.7850 | − | 21.7262i | −0.938320 | − | 1.29149i | −0.956524 | − | 0.291653i | \(-0.905795\pi\) |
0.0182041 | − | 0.999834i | \(-0.494205\pi\) | |||||||
\(284\) | 0.864037 | + | 2.65923i | 0.0512712 | + | 0.157796i | ||||
\(285\) | 0.862038 | − | 1.06337i | 0.0510627 | − | 0.0629883i | ||||
\(286\) | −2.51816 | + | 7.75009i | −0.148902 | + | 0.458272i | ||||
\(287\) | −6.32986 | + | 2.05670i | −0.373640 | + | 0.121403i | ||||
\(288\) | 2.58812 | − | 0.840930i | 0.152506 | − | 0.0495523i | ||||
\(289\) | 5.25325 | − | 16.1678i | 0.309014 | − | 0.951049i | ||||
\(290\) | 0.257769 | − | 4.86874i | 0.0151367 | − | 0.285902i | ||||
\(291\) | −0.881374 | − | 2.71259i | −0.0516671 | − | 0.159015i | ||||
\(292\) | −4.22238 | − | 5.81161i | −0.247096 | − | 0.340099i | ||||
\(293\) | − | 31.0610i | − | 1.81460i | −0.420482 | − | 0.907301i | \(-0.638139\pi\) | ||
0.420482 | − | 0.907301i | \(-0.361861\pi\) | |||||||
\(294\) | 0.427092 | − | 0.310301i | 0.0249085 | − | 0.0180971i | ||||
\(295\) | −7.04712 | + | 18.3291i | −0.410299 | + | 1.06716i | ||||
\(296\) | −8.67647 | − | 6.30382i | −0.504310 | − | 0.366402i | ||||
\(297\) | −4.56073 | + | 6.27731i | −0.264640 | + | 0.364246i | ||||
\(298\) | 4.80810 | + | 1.56225i | 0.278526 | + | 0.0904985i | ||||
\(299\) | 7.47851 | 0.432493 | ||||||||
\(300\) | 1.31734 | + | 2.28735i | 0.0760569 | + | 0.132060i | ||||
\(301\) | 10.8385 | 0.624720 | ||||||||
\(302\) | 19.0669 | + | 6.19522i | 1.09718 | + | 0.356495i | ||||
\(303\) | 1.55567 | − | 2.14120i | 0.0893709 | − | 0.123009i | ||||
\(304\) | 0.938159 | + | 0.681613i | 0.0538071 | + | 0.0390932i | ||||
\(305\) | 21.9713 | − | 14.2516i | 1.25807 | − | 0.816047i | ||||
\(306\) | 0.0261068 | − | 0.0189677i | 0.00149242 | − | 0.00108431i | ||||
\(307\) | 29.8864i | 1.70570i | 0.522153 | + | 0.852852i | \(0.325129\pi\) | ||||
−0.522153 | + | 0.852852i | \(0.674871\pi\) | |||||||
\(308\) | −1.50999 | − | 2.07833i | −0.0860399 | − | 0.118424i | ||||
\(309\) | −0.432145 | − | 1.33000i | −0.0245839 | − | 0.0756613i | ||||
\(310\) | −6.96643 | − | 2.67843i | −0.395666 | − | 0.152125i | ||||
\(311\) | 2.88342 | − | 8.87426i | 0.163504 | − | 0.503213i | −0.835419 | − | 0.549614i | \(-0.814775\pi\) |
0.998923 | + | 0.0464003i | \(0.0147750\pi\) | |||||||
\(312\) | 1.59263 | − | 0.517476i | 0.0901648 | − | 0.0292963i | ||||
\(313\) | −22.9223 | + | 7.44790i | −1.29564 | + | 0.420980i | −0.874064 | − | 0.485811i | \(-0.838524\pi\) |
−0.421580 | + | 0.906791i | \(0.638524\pi\) | |||||||
\(314\) | 1.93987 | − | 5.97030i | 0.109473 | − | 0.336923i | ||||
\(315\) | −5.67969 | − | 2.18371i | −0.320014 | − | 0.123038i | ||||
\(316\) | −3.65617 | − | 11.2525i | −0.205676 | − | 0.633005i | ||||
\(317\) | 3.30582 | + | 4.55007i | 0.185674 | + | 0.255558i | 0.891699 | − | 0.452629i | \(-0.149514\pi\) |
−0.706026 | + | 0.708186i | \(0.749514\pi\) | |||||||
\(318\) | − | 5.73929i | − | 0.321843i | ||||||
\(319\) | −4.53162 | + | 3.29242i | −0.253722 | + | 0.184340i | ||||
\(320\) | −1.87597 | + | 1.21685i | −0.104870 | + | 0.0680239i | ||||
\(321\) | 2.01889 | + | 1.46681i | 0.112683 | + | 0.0818693i | ||||
\(322\) | −1.38577 | + | 1.90734i | −0.0772257 | + | 0.106292i | ||||
\(323\) | 0.0130781 | + | 0.00424932i | 0.000727683 | + | 0.000236439i | ||||
\(324\) | −6.56942 | −0.364968 | ||||||||
\(325\) | −7.91551 | − | 13.7440i | −0.439073 | − | 0.762378i | ||||
\(326\) | 0.190720 | 0.0105630 | ||||||||
\(327\) | 1.80647 | + | 0.586957i | 0.0998979 | + | 0.0324588i | ||||
\(328\) | 3.91207 | − | 5.38450i | 0.216008 | − | 0.297309i | ||||
\(329\) | 6.95858 | + | 5.05571i | 0.383639 | + | 0.278730i | ||||
\(330\) | 1.08828 | − | 2.83053i | 0.0599076 | − | 0.155816i | ||||
\(331\) | −11.0911 | + | 8.05812i | −0.609620 | + | 0.442915i | −0.849280 | − | 0.527942i | \(-0.822964\pi\) |
0.239661 | + | 0.970857i | \(0.422964\pi\) | |||||||
\(332\) | − | 11.0384i | − | 0.605812i | ||||||
\(333\) | 17.1546 | + | 23.6113i | 0.940068 | + | 1.29389i | ||||
\(334\) | −0.990903 | − | 3.04969i | −0.0542198 | − | 0.166871i | ||||
\(335\) | 0.872135 | − | 16.4729i | 0.0476498 | − | 0.900011i | ||||
\(336\) | −0.163135 | + | 0.502077i | −0.00889973 | + | 0.0273905i | ||||
\(337\) | −26.1267 | + | 8.48908i | −1.42321 | + | 0.462430i | −0.916621 | − | 0.399757i | \(-0.869095\pi\) |
−0.506591 | + | 0.862187i | \(0.669095\pi\) | |||||||
\(338\) | 2.79414 | − | 0.907870i | 0.151981 | − | 0.0493816i | ||||
\(339\) | −1.87523 | + | 5.77137i | −0.101849 | + | 0.313458i | ||||
\(340\) | −0.0166979 | + | 0.0205977i | −0.000905570 | + | 0.00111706i | ||||
\(341\) | 2.64973 | + | 8.15503i | 0.143491 | + | 0.441619i | ||||
\(342\) | −1.85488 | − | 2.55302i | −0.100300 | − | 0.138051i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | −8.76851 | + | 6.37070i | −0.472767 | + | 0.343485i | ||||
\(345\) | −2.77915 | − | 0.147138i | −0.149625 | − | 0.00792167i | ||||
\(346\) | −14.2639 | − | 10.3633i | −0.766831 | − | 0.557135i | ||||
\(347\) | 10.9969 | − | 15.1359i | 0.590345 | − | 0.812540i | −0.404437 | − | 0.914566i | \(-0.632532\pi\) |
0.994782 | + | 0.102026i | \(0.0325325\pi\) | |||||||
\(348\) | 1.09474 | + | 0.355702i | 0.0586841 | + | 0.0190676i | ||||
\(349\) | 11.3924 | 0.609823 | 0.304911 | − | 0.952381i | \(-0.401373\pi\) | ||||
0.304911 | + | 0.952381i | \(0.401373\pi\) | |||||||
\(350\) | 4.97205 | + | 0.527956i | 0.265767 | + | 0.0282205i | ||||
\(351\) | −9.58083 | −0.511387 | ||||||||
\(352\) | 2.44322 | + | 0.793851i | 0.130224 | + | 0.0423124i | ||||
\(353\) | −10.3784 | + | 14.2846i | −0.552386 | + | 0.760295i | −0.990334 | − | 0.138706i | \(-0.955706\pi\) |
0.437947 | + | 0.899001i | \(0.355706\pi\) | |||||||
\(354\) | −3.75073 | − | 2.72506i | −0.199349 | − | 0.144835i | ||||
\(355\) | 1.61497 | + | 6.04006i | 0.0857137 | + | 0.320573i | ||||
\(356\) | 7.10570 | − | 5.16259i | 0.376601 | − | 0.273617i | ||||
\(357\) | 0.00626011i | 0.000331320i | ||||||||
\(358\) | 7.86994 | + | 10.8320i | 0.415939 | + | 0.572491i | ||||
\(359\) | −2.76992 | − | 8.52494i | −0.146191 | − | 0.449929i | 0.850971 | − | 0.525212i | \(-0.176014\pi\) |
−0.997162 | + | 0.0752830i | \(0.976014\pi\) | |||||||
\(360\) | 5.87852 | − | 1.57178i | 0.309825 | − | 0.0828400i | ||||
\(361\) | −5.45578 | + | 16.7912i | −0.287146 | + | 0.883745i | ||||
\(362\) | −15.0547 | + | 4.89156i | −0.791257 | + | 0.257095i | ||||
\(363\) | 2.20937 | − | 0.717869i | 0.115962 | − | 0.0376784i | ||||
\(364\) | 0.980226 | − | 3.01682i | 0.0513778 | − | 0.158125i | ||||
\(365\) | −8.74129 | − | 13.4762i | −0.457540 | − | 0.705374i | ||||
\(366\) | 1.91062 | + | 5.88030i | 0.0998699 | + | 0.307368i | ||||
\(367\) | 9.76022 | + | 13.4338i | 0.509479 | + | 0.701238i | 0.983831 | − | 0.179097i | \(-0.0573176\pi\) |
−0.474352 | + | 0.880335i | \(0.657318\pi\) | |||||||
\(368\) | − | 2.35761i | − | 0.122899i | ||||||
\(369\) | −14.6529 | + | 10.6459i | −0.762798 | + | 0.554205i | ||||
\(370\) | −18.6288 | − | 15.1018i | −0.968465 | − | 0.785105i | ||||
\(371\) | −8.79532 | − | 6.39017i | −0.456630 | − | 0.331761i | ||||
\(372\) | 1.03573 | − | 1.42556i | 0.0536999 | − | 0.0739116i | ||||
\(373\) | 32.0924 | + | 10.4274i | 1.66168 | + | 0.539913i | 0.981223 | − | 0.192876i | \(-0.0617815\pi\) |
0.680457 | + | 0.732788i | \(0.261781\pi\) | |||||||
\(374\) | 0.0304631 | 0.00157521 | ||||||||
\(375\) | 2.67114 | + | 5.26325i | 0.137937 | + | 0.271793i | ||||
\(376\) | −8.60128 | −0.443577 | ||||||||
\(377\) | −6.57794 | − | 2.13730i | −0.338781 | − | 0.110077i | ||||
\(378\) | 1.77533 | − | 2.44353i | 0.0913129 | − | 0.125681i | ||||
\(379\) | 18.4613 | + | 13.4129i | 0.948293 | + | 0.688975i | 0.950403 | − | 0.311023i | \(-0.100671\pi\) |
−0.00210957 | + | 0.999998i | \(0.500671\pi\) | |||||||
\(380\) | 2.01427 | + | 1.63291i | 0.103330 | + | 0.0837665i | ||||
\(381\) | 9.01253 | − | 6.54799i | 0.461726 | − | 0.335464i | ||||
\(382\) | − | 2.71893i | − | 0.139112i | ||||||
\(383\) | 12.3353 | + | 16.9780i | 0.630302 | + | 0.867537i | 0.998052 | − | 0.0623882i | \(-0.0198717\pi\) |
−0.367750 | + | 0.929925i | \(0.619872\pi\) | |||||||
\(384\) | −0.163135 | − | 0.502077i | −0.00832493 | − | 0.0256215i | ||||
\(385\) | −3.12603 | − | 4.81930i | −0.159317 | − | 0.245614i | ||||
\(386\) | 1.23761 | − | 3.80898i | 0.0629928 | − | 0.193872i | ||||
\(387\) | 28.0512 | − | 9.11440i | 1.42592 | − | 0.463311i | ||||
\(388\) | 5.13831 | − | 1.66954i | 0.260858 | − | 0.0847580i | ||||
\(389\) | 9.89540 | − | 30.4549i | 0.501717 | − | 1.54413i | −0.304504 | − | 0.952511i | \(-0.598491\pi\) |
0.806221 | − | 0.591615i | \(-0.201509\pi\) | |||||||
\(390\) | 3.61742 | − | 0.967213i | 0.183175 | − | 0.0489767i | ||||
\(391\) | −0.00863917 | − | 0.0265886i | −0.000436901 | − | 0.00134464i | ||||
\(392\) | 0.587785 | + | 0.809017i | 0.0296876 | + | 0.0408615i | ||||
\(393\) | − | 3.92218i | − | 0.197848i | ||||||
\(394\) | 11.0225 | − | 8.00830i | 0.555304 | − | 0.403452i | ||||
\(395\) | −6.83374 | − | 25.5585i | −0.343843 | − | 1.28599i | ||||
\(396\) | −5.65577 | − | 4.10916i | −0.284213 | − | 0.206493i | ||||
\(397\) | 7.14778 | − | 9.83807i | 0.358737 | − | 0.493759i | −0.591060 | − | 0.806628i | \(-0.701290\pi\) |
0.949796 | + | 0.312869i | \(0.101290\pi\) | |||||||
\(398\) | −22.8791 | − | 7.43386i | −1.14682 | − | 0.372626i | ||||
\(399\) | 0.612185 | 0.0306476 | ||||||||
\(400\) | −4.33280 | + | 2.49537i | −0.216640 | + | 0.124769i | ||||
\(401\) | 9.88154 | 0.493461 | 0.246730 | − | 0.969084i | \(-0.420644\pi\) | ||||
0.246730 | + | 0.969084i | \(0.420644\pi\) | |||||||
\(402\) | 3.70393 | + | 1.20348i | 0.184735 | + | 0.0600242i | ||||
\(403\) | −6.22336 | + | 8.56572i | −0.310008 | + | 0.426689i | ||||
\(404\) | 4.05595 | + | 2.94682i | 0.201791 | + | 0.146610i | ||||
\(405\) | −14.6691 | − | 0.776637i | −0.728915 | − | 0.0385914i | ||||
\(406\) | 1.76399 | − | 1.28162i | 0.0875456 | − | 0.0636056i | ||||
\(407\) | 27.5513i | 1.36567i | ||||||||
\(408\) | −0.00367960 | − | 0.00506454i | −0.000182167 | − | 0.000250732i | ||||
\(409\) | 8.23964 | + | 25.3590i | 0.407424 | + | 1.25392i | 0.918854 | + | 0.394597i | \(0.129116\pi\) |
−0.511430 | + | 0.859325i | \(0.670884\pi\) | |||||||
\(410\) | 9.37197 | − | 11.5608i | 0.462849 | − | 0.570946i | ||||
\(411\) | −0.692761 | + | 2.13210i | −0.0341714 | + | 0.105169i | ||||
\(412\) | 2.51935 | − | 0.818588i | 0.124120 | − | 0.0403289i | ||||
\(413\) | −8.35218 | + | 2.71379i | −0.410984 | + | 0.133537i | ||||
\(414\) | −1.98258 | + | 6.10176i | −0.0974385 | + | 0.299885i | ||||
\(415\) | 1.30496 | − | 24.6481i | 0.0640580 | − | 1.20993i | ||||
\(416\) | 0.980226 | + | 3.01682i | 0.0480595 | + | 0.147912i | ||||
\(417\) | −3.18726 | − | 4.38689i | −0.156081 | − | 0.214827i | ||||
\(418\) | − | 2.97903i | − | 0.145709i | ||||||
\(419\) | −8.23681 | + | 5.98439i | −0.402394 | + | 0.292357i | −0.770516 | − | 0.637421i | \(-0.780001\pi\) |
0.368121 | + | 0.929778i | \(0.380001\pi\) | |||||||
\(420\) | −0.423626 | + | 1.10182i | −0.0206708 | + | 0.0537634i | ||||
\(421\) | 10.4319 | + | 7.57920i | 0.508419 | + | 0.369388i | 0.812223 | − | 0.583347i | \(-0.198257\pi\) |
−0.303805 | + | 0.952734i | \(0.598257\pi\) | |||||||
\(422\) | −2.90544 | + | 3.99900i | −0.141435 | + | 0.194668i | ||||
\(423\) | 22.2611 | + | 7.23307i | 1.08237 | + | 0.351684i | ||||
\(424\) | 10.8716 | 0.527972 | ||||||||
\(425\) | −0.0397204 | + | 0.0440193i | −0.00192672 | + | 0.00213525i | ||||
\(426\) | −1.47609 | −0.0715170 | ||||||||
\(427\) | 11.1387 | + | 3.61919i | 0.539040 | + | 0.175145i | ||||
\(428\) | −2.77850 | + | 3.82427i | −0.134304 | + | 0.184853i | ||||
\(429\) | −3.48034 | − | 2.52862i | −0.168033 | − | 0.122083i | ||||
\(430\) | −20.3327 | + | 13.1888i | −0.980531 | + | 0.636019i | ||||
\(431\) | −25.8040 | + | 18.7477i | −1.24293 | + | 0.903043i | −0.997790 | − | 0.0664437i | \(-0.978835\pi\) |
−0.245142 | + | 0.969487i | \(0.578835\pi\) | |||||||
\(432\) | 3.02036i | 0.145317i | ||||||||
\(433\) | 6.99719 | + | 9.63081i | 0.336264 | + | 0.462827i | 0.943345 | − | 0.331812i | \(-0.107660\pi\) |
−0.607082 | + | 0.794639i | \(0.707660\pi\) | |||||||
\(434\) | −1.03144 | − | 3.17445i | −0.0495108 | − | 0.152379i | ||||
\(435\) | 2.40243 | + | 0.923681i | 0.115188 | + | 0.0442871i | ||||
\(436\) | −1.11184 | + | 3.42189i | −0.0532475 | + | 0.163879i | ||||
\(437\) | −2.60014 | + | 0.844836i | −0.124382 | + | 0.0404140i | ||||
\(438\) | 3.60670 | − | 1.17189i | 0.172335 | − | 0.0559949i | ||||
\(439\) | −7.22295 | + | 22.2300i | −0.344733 | + | 1.06098i | 0.616994 | + | 0.786968i | \(0.288350\pi\) |
−0.961727 | + | 0.274011i | \(0.911650\pi\) | |||||||
\(440\) | 5.36172 | + | 2.06146i | 0.255610 | + | 0.0982762i | ||||
\(441\) | −0.840930 | − | 2.58812i | −0.0400443 | − | 0.123244i | ||||
\(442\) | 0.0221096 | + | 0.0304312i | 0.00105165 | + | 0.00144747i | ||||
\(443\) | − | 2.11986i | − | 0.100718i | −0.998731 | − | 0.0503589i | \(-0.983963\pi\) | ||
0.998731 | − | 0.0503589i | \(-0.0160365\pi\) | |||||||
\(444\) | 4.58044 | − | 3.32788i | 0.217378 | − | 0.157934i | ||||
\(445\) | 16.4769 | − | 10.6877i | 0.781081 | − | 0.506647i | ||||
\(446\) | −10.4991 | − | 7.62806i | −0.497148 | − | 0.361199i | ||||
\(447\) | −1.56874 | + | 2.15918i | −0.0741987 | + | 0.102126i | ||||
\(448\) | −0.951057 | − | 0.309017i | −0.0449332 | − | 0.0145997i | ||||
\(449\) | 15.0557 | 0.710525 | 0.355262 | − | 0.934767i | \(-0.384392\pi\) | ||||
0.355262 | + | 0.934767i | \(0.384392\pi\) | |||||||
\(450\) | 13.3122 | − | 2.81473i | 0.627544 | − | 0.132688i | ||||
\(451\) | −17.0980 | −0.805111 | ||||||||
\(452\) | −10.9324 | − | 3.55215i | −0.514216 | − | 0.167079i | ||||
\(453\) | −6.22096 | + | 8.56241i | −0.292286 | + | 0.402297i | ||||
\(454\) | 4.76716 | + | 3.46354i | 0.223734 | + | 0.162552i | ||||
\(455\) | 2.54543 | − | 6.62051i | 0.119332 | − | 0.310374i | ||||
\(456\) | −0.495268 | + | 0.359834i | −0.0231931 | + | 0.0168508i | ||||
\(457\) | − | 27.2587i | − | 1.27511i | −0.770405 | − | 0.637554i | \(-0.779946\pi\) | ||
0.770405 | − | 0.637554i | \(-0.220054\pi\) | |||||||
\(458\) | 5.37652 | + | 7.40014i | 0.251228 | + | 0.345786i | ||||
\(459\) | 0.0110678 | + | 0.0340631i | 0.000516599 | + | 0.00158993i | ||||
\(460\) | 0.278716 | − | 5.26439i | 0.0129952 | − | 0.245454i | ||||
\(461\) | 12.9938 | − | 39.9908i | 0.605182 | − | 1.86256i | 0.109645 | − | 0.993971i | \(-0.465029\pi\) |
0.495537 | − | 0.868587i | \(-0.334971\pi\) | |||||||
\(462\) | 1.28981 | − | 0.419086i | 0.0600076 | − | 0.0194976i | ||||
\(463\) | −25.7164 | + | 8.35577i | −1.19514 | + | 0.388326i | −0.837972 | − | 0.545713i | \(-0.816259\pi\) |
−0.357171 | + | 0.934039i | \(0.616259\pi\) | |||||||
\(464\) | −0.673786 | + | 2.07370i | −0.0312797 | + | 0.0962691i | ||||
\(465\) | 2.48125 | − | 3.06074i | 0.115065 | − | 0.141938i | ||||
\(466\) | −3.44662 | − | 10.6076i | −0.159661 | − | 0.491387i | ||||
\(467\) | 7.52839 | + | 10.3619i | 0.348372 | + | 0.479493i | 0.946863 | − | 0.321636i | \(-0.104233\pi\) |
−0.598491 | + | 0.801129i | \(0.704233\pi\) | |||||||
\(468\) | − | 8.63219i | − | 0.399023i | ||||||
\(469\) | 5.96830 | − | 4.33622i | 0.275590 | − | 0.200228i | ||||
\(470\) | −19.2062 | − | 1.01684i | −0.885914 | − | 0.0469035i | ||||
\(471\) | 2.68109 | + | 1.94793i | 0.123538 | + | 0.0897557i | ||||
\(472\) | 5.16193 | − | 7.10479i | 0.237597 | − | 0.327025i | ||||
\(473\) | 26.4808 | + | 8.60414i | 1.21759 | + | 0.395619i | ||||
\(474\) | 6.24609 | 0.286892 | ||||||||
\(475\) | 4.30471 | + | 3.88432i | 0.197514 | + | 0.178225i | ||||
\(476\) | −0.0118582 | −0.000543519 | ||||||||
\(477\) | −28.1370 | − | 9.14226i | −1.28830 | − | 0.418595i | ||||
\(478\) | −10.9794 | + | 15.1118i | −0.502186 | + | 0.691199i | ||||
\(479\) | −5.39304 | − | 3.91827i | −0.246414 | − | 0.179030i | 0.457722 | − | 0.889095i | \(-0.348666\pi\) |
−0.704136 | + | 0.710065i | \(0.748666\pi\) | |||||||
\(480\) | −0.304915 | − | 1.14039i | −0.0139174 | − | 0.0520516i | ||||
\(481\) | −27.5224 | + | 19.9962i | −1.25491 | + | 0.911749i | ||||
\(482\) | 16.4206i | 0.747938i | ||||||||
\(483\) | −0.731567 | − | 1.00692i | −0.0332874 | − | 0.0458162i | ||||
\(484\) | 1.35982 | + | 4.18509i | 0.0618100 | + | 0.190232i | ||||
\(485\) | 11.6709 | − | 3.12053i | 0.529949 | − | 0.141696i | ||||
\(486\) | 3.87173 | − | 11.9160i | 0.175625 | − | 0.540519i | ||||
\(487\) | 5.04993 | − | 1.64082i | 0.228834 | − | 0.0743527i | −0.192356 | − | 0.981325i | \(-0.561613\pi\) |
0.421190 | + | 0.906973i | \(0.361613\pi\) | |||||||
\(488\) | −11.1387 | + | 3.61919i | −0.504226 | + | 0.163833i | ||||
\(489\) | −0.0311130 | + | 0.0957561i | −0.00140698 | + | 0.00433024i | ||||
\(490\) | 1.21685 | + | 1.87597i | 0.0549716 | + | 0.0847479i | ||||
\(491\) | 9.94345 | + | 30.6028i | 0.448742 | + | 1.38109i | 0.878328 | + | 0.478059i | \(0.158660\pi\) |
−0.429586 | + | 0.903026i | \(0.641340\pi\) | |||||||
\(492\) | 2.06524 | + | 2.84256i | 0.0931082 | + | 0.128152i | ||||
\(493\) | 0.0258558i | 0.00116449i | ||||||||
\(494\) | 2.97591 | − | 2.16213i | 0.133893 | − | 0.0972787i | ||||
\(495\) | −12.1432 | − | 9.84413i | −0.545797 | − | 0.442461i | ||||
\(496\) | 2.70035 | + | 1.96192i | 0.121249 | + | 0.0880928i | ||||
\(497\) | −1.64350 | + | 2.26208i | −0.0737209 | + | 0.101468i | ||||
\(498\) | 5.54214 | + | 1.80075i | 0.248349 | + | 0.0806935i | ||||
\(499\) | 7.97008 | 0.356790 | 0.178395 | − | 0.983959i | \(-0.442910\pi\) | ||||
0.178395 | + | 0.983959i | \(0.442910\pi\) | |||||||
\(500\) | −9.96988 | + | 5.05979i | −0.445867 | + | 0.226281i | ||||
\(501\) | 1.69283 | 0.0756300 | ||||||||
\(502\) | 6.48870 | + | 2.10831i | 0.289605 | + | 0.0940984i | ||||
\(503\) | −7.89399 | + | 10.8651i | −0.351975 | + | 0.484453i | −0.947891 | − | 0.318594i | \(-0.896789\pi\) |
0.595916 | + | 0.803047i | \(0.296789\pi\) | |||||||
\(504\) | 2.20158 | + | 1.59954i | 0.0980663 | + | 0.0712493i | ||||
\(505\) | 8.70832 | + | 7.05957i | 0.387515 | + | 0.314147i | ||||
\(506\) | −4.89988 | + | 3.55997i | −0.217826 | + | 0.158260i | ||||
\(507\) | 1.55098i | 0.0688813i | ||||||||
\(508\) | 12.4035 | + | 17.0719i | 0.550316 | + | 0.757445i | ||||
\(509\) | −5.54765 | − | 17.0739i | −0.245895 | − | 0.756787i | −0.995488 | − | 0.0948881i | \(-0.969751\pi\) |
0.749593 | − | 0.661899i | \(-0.230249\pi\) | |||||||
\(510\) | −0.00761761 | − | 0.0117438i | −0.000337313 | − | 0.000520025i | ||||
\(511\) | 2.21984 | − | 6.83196i | 0.0981999 | − | 0.302228i | ||||
\(512\) | 0.951057 | − | 0.309017i | 0.0420312 | − | 0.0136568i | ||||
\(513\) | 3.33108 | − | 1.08233i | 0.147071 | − | 0.0477861i | ||||
\(514\) | 1.00710 | − | 3.09954i | 0.0444214 | − | 0.136715i | ||||
\(515\) | 5.72234 | − | 1.53002i | 0.252156 | − | 0.0674207i | ||||
\(516\) | −1.76813 | − | 5.44175i | −0.0778377 | − | 0.239560i | ||||
\(517\) | 12.9879 | + | 17.8763i | 0.571207 | + | 0.786198i | ||||
\(518\) | − | 10.7247i | − | 0.471217i | ||||||
\(519\) | 7.53012 | − | 5.47095i | 0.330536 | − | 0.240148i | ||||
\(520\) | 1.83214 | + | 6.85227i | 0.0803445 | + | 0.300492i | ||||
\(521\) | 20.3401 | + | 14.7780i | 0.891117 | + | 0.647435i | 0.936169 | − | 0.351550i | \(-0.114345\pi\) |
−0.0450517 | + | 0.998985i | \(0.514345\pi\) | |||||||
\(522\) | 3.48767 | − | 4.80037i | 0.152651 | − | 0.210106i | ||||
\(523\) | 23.7957 | + | 7.73170i | 1.04051 | + | 0.338083i | 0.778939 | − | 0.627100i | \(-0.215758\pi\) |
0.261575 | + | 0.965183i | \(0.415758\pi\) | |||||||
\(524\) | 7.42956 | 0.324562 | ||||||||
\(525\) | −1.07619 | + | 2.41022i | −0.0469687 | + | 0.105191i | ||||
\(526\) | 20.8370 | 0.908536 | ||||||||
\(527\) | 0.0376432 | + | 0.0122310i | 0.00163977 | + | 0.000532792i | ||||
\(528\) | −0.797149 | + | 1.09718i | −0.0346914 | + | 0.0477487i | ||||
\(529\) | −14.1106 | − | 10.2520i | −0.613506 | − | 0.445738i | ||||
\(530\) | 24.2757 | + | 1.28524i | 1.05447 | + | 0.0558273i | ||||
\(531\) | −19.3343 | + | 14.0472i | −0.839038 | + | 0.609596i | ||||
\(532\) | 1.15963i | 0.0502763i | ||||||||
\(533\) | −12.4094 | − | 17.0800i | −0.537510 | − | 0.739819i | ||||
\(534\) | 1.43283 | + | 4.40981i | 0.0620047 | + | 0.190831i | ||||
\(535\) | −6.65632 | + | 8.21090i | −0.287778 | + | 0.354988i | ||||
\(536\) | −2.27969 | + | 7.01615i | −0.0984675 | + | 0.303052i | ||||
\(537\) | −6.72238 | + | 2.18423i | −0.290092 | + | 0.0942567i | ||||
\(538\) | −29.3253 | + | 9.52835i | −1.26430 | + | 0.410797i | ||||
\(539\) | 0.793851 | − | 2.44322i | 0.0341936 | − | 0.105237i | ||||
\(540\) | −0.357067 | + | 6.74429i | −0.0153657 | + | 0.290228i | ||||
\(541\) | −7.10983 | − | 21.8818i | −0.305675 | − | 0.940772i | −0.979424 | − | 0.201812i | \(-0.935317\pi\) |
0.673749 | − | 0.738960i | \(-0.264683\pi\) | |||||||
\(542\) | 12.1576 | + | 16.7335i | 0.522212 | + | 0.718763i | ||||
\(543\) | − | 8.35659i | − | 0.358616i | ||||||
\(544\) | 0.00959347 | − | 0.00697007i | 0.000411317 | − | 0.000298839i | ||||
\(545\) | −2.88721 | + | 7.50944i | −0.123674 | + | 0.321669i | ||||
\(546\) | 1.35477 | + | 0.984298i | 0.0579788 | + | 0.0421241i | ||||
\(547\) | −8.99749 | + | 12.3840i | −0.384705 | + | 0.529501i | −0.956823 | − | 0.290670i | \(-0.906122\pi\) |
0.572118 | + | 0.820171i | \(0.306122\pi\) | |||||||
\(548\) | −4.03872 | − | 1.31226i | −0.172525 | − | 0.0560569i | ||||
\(549\) | 31.8718 | 1.36025 | ||||||||
\(550\) | 11.7287 | + | 5.23698i | 0.500113 | + | 0.223306i | ||||
\(551\) | 2.52847 | 0.107717 | ||||||||
\(552\) | 1.18370 | + | 0.384607i | 0.0503816 | + | 0.0163700i | ||||
\(553\) | 6.95445 | − | 9.57198i | 0.295733 | − | 0.407042i | ||||
\(554\) | 1.61008 | + | 1.16979i | 0.0684059 | + | 0.0496998i | ||||
\(555\) | 10.6213 | − | 6.88947i | 0.450848 | − | 0.292442i | ||||
\(556\) | 8.30984 | − | 6.03745i | 0.352416 | − | 0.256045i | ||||
\(557\) | − | 34.8071i | − | 1.47483i | −0.675442 | − | 0.737413i | \(-0.736047\pi\) | ||
0.675442 | − | 0.737413i | \(-0.263953\pi\) | |||||||
\(558\) | −5.33898 | − | 7.34848i | −0.226017 | − | 0.311086i | ||||
\(559\) | 10.6242 | + | 32.6978i | 0.449354 | + | 1.38297i | ||||
\(560\) | −2.08712 | − | 0.802450i | −0.0881970 | − | 0.0339097i | ||||
\(561\) | −0.00496960 | + | 0.0152948i | −0.000209817 | + | 0.000645749i | ||||
\(562\) | 10.4811 | − | 3.40553i | 0.442120 | − | 0.143653i | ||||
\(563\) | 3.84472 | − | 1.24923i | 0.162036 | − | 0.0526486i | −0.226876 | − | 0.973924i | \(-0.572851\pi\) |
0.388912 | + | 0.921275i | \(0.372851\pi\) | |||||||
\(564\) | 1.40317 | − | 4.31851i | 0.0590840 | − | 0.181842i | ||||
\(565\) | −23.9914 | − | 9.22416i | −1.00933 | − | 0.388063i | ||||
\(566\) | 8.29866 | + | 25.5406i | 0.348819 | + | 1.07355i | ||||
\(567\) | −3.86141 | − | 5.31477i | −0.162164 | − | 0.223200i | ||||
\(568\) | − | 2.79608i | − | 0.117321i | ||||||
\(569\) | 0.336115 | − | 0.244202i | 0.0140907 | − | 0.0102375i | −0.580718 | − | 0.814105i | \(-0.697228\pi\) |
0.594808 | + | 0.803868i | \(0.297228\pi\) | |||||||
\(570\) | −1.14844 | + | 0.744936i | −0.0481031 | + | 0.0312020i | ||||
\(571\) | 13.5904 | + | 9.87402i | 0.568742 | + | 0.413215i | 0.834648 | − | 0.550784i | \(-0.185671\pi\) |
−0.265906 | + | 0.963999i | \(0.585671\pi\) | |||||||
\(572\) | 4.78982 | − | 6.59262i | 0.200272 | − | 0.275651i | ||||
\(573\) | 1.36511 | + | 0.443552i | 0.0570284 | + | 0.0185296i | ||||
\(574\) | 6.65561 | 0.277800 | ||||||||
\(575\) | 1.24471 | − | 11.7221i | 0.0519081 | − | 0.488847i | ||||
\(576\) | −2.72131 | −0.113388 | ||||||||
\(577\) | −17.1932 | − | 5.58640i | −0.715761 | − | 0.232565i | −0.0715765 | − | 0.997435i | \(-0.522803\pi\) |
−0.644184 | + | 0.764870i | \(0.722803\pi\) | |||||||
\(578\) | −9.99227 | + | 13.7532i | −0.415623 | + | 0.572057i | ||||
\(579\) | 1.71050 | + | 1.24275i | 0.0710861 | + | 0.0516471i | ||||
\(580\) | −1.74968 | + | 4.55079i | −0.0726514 | + | 0.188961i | ||||
\(581\) | 8.93027 | − | 6.48822i | 0.370490 | − | 0.269177i | ||||
\(582\) | 2.85219i | 0.118227i | ||||||||
\(583\) | −16.4161 | − | 22.5948i | −0.679884 | − | 0.935780i | ||||
\(584\) | 2.21984 | + | 6.83196i | 0.0918576 | + | 0.282709i | ||||
\(585\) | 1.02050 | − | 19.2752i | 0.0421924 | − | 0.796930i | ||||
\(586\) | −9.59837 | + | 29.5407i | −0.396505 | + | 1.22032i | ||||
\(587\) | −7.81203 | + | 2.53828i | −0.322437 | + | 0.104766i | −0.465763 | − | 0.884909i | \(-0.654220\pi\) |
0.143326 | + | 0.989676i | \(0.454220\pi\) | |||||||
\(588\) | −0.502077 | + | 0.163135i | −0.0207053 | + | 0.00672756i | ||||
\(589\) | 1.19609 | − | 3.68119i | 0.0492840 | − | 0.151681i | ||||
\(590\) | 12.3662 | − | 15.2543i | 0.509109 | − | 0.628011i | ||||
\(591\) | 2.22263 | + | 6.84056i | 0.0914269 | + | 0.281383i | ||||
\(592\) | 6.30382 | + | 8.67647i | 0.259086 | + | 0.356601i | ||||
\(593\) | 32.2906i | 1.32602i | 0.748613 | + | 0.663008i | \(0.230720\pi\) | ||||
−0.748613 | + | 0.663008i | \(0.769280\pi\) | |||||||
\(594\) | 6.27731 | − | 4.56073i | 0.257561 | − | 0.187129i | ||||
\(595\) | −0.0264786 | − | 0.00140187i | −0.00108552 | − | 5.74712e-5i | ||||
\(596\) | −4.09001 | − | 2.97157i | −0.167534 | − | 0.121720i | ||||
\(597\) | 7.46474 | − | 10.2743i | 0.305511 | − | 0.420500i | ||||
\(598\) | −7.11248 | − | 2.31099i | −0.290851 | − | 0.0945032i | ||||
\(599\) | −37.8942 | −1.54831 | −0.774157 | − | 0.632994i | \(-0.781826\pi\) | ||||
−0.774157 | + | 0.632994i | \(0.781826\pi\) | |||||||
\(600\) | −0.546039 | − | 2.58248i | −0.0222919 | − | 0.105429i | ||||
\(601\) | −35.7744 | −1.45927 | −0.729635 | − | 0.683837i | \(-0.760310\pi\) | ||||
−0.729635 | + | 0.683837i | \(0.760310\pi\) | |||||||
\(602\) | −10.3080 | − | 3.34927i | −0.420123 | − | 0.136506i | ||||
\(603\) | 11.8002 | − | 16.2416i | 0.480541 | − | 0.661408i | ||||
\(604\) | −16.2193 | − | 11.7840i | −0.659954 | − | 0.479485i | ||||
\(605\) | 2.54163 | + | 9.50582i | 0.103332 | + | 0.386467i | ||||
\(606\) | −2.14120 | + | 1.55567i | −0.0869801 | + | 0.0631948i | ||||
\(607\) | − | 4.87158i | − | 0.197731i | −0.995101 | − | 0.0988657i | \(-0.968479\pi\) | ||
0.995101 | − | 0.0988657i | \(-0.0315214\pi\) | |||||||
\(608\) | −0.681613 | − | 0.938159i | −0.0276430 | − | 0.0380474i | ||||
\(609\) | 0.355702 | + | 1.09474i | 0.0144138 | + | 0.0443610i | ||||
\(610\) | −25.3000 | + | 6.76462i | −1.02437 | + | 0.273891i | ||||
\(611\) | −8.43120 | + | 25.9486i | −0.341090 | + | 1.04977i | ||||
\(612\) | −0.0306904 | + | 0.00997190i | −0.00124058 | + | 0.000403090i | ||||
\(613\) | 16.5210 | − | 5.36800i | 0.667277 | − | 0.216811i | 0.0442604 | − | 0.999020i | \(-0.485907\pi\) |
0.623017 | + | 0.782209i | \(0.285907\pi\) | |||||||
\(614\) | 9.23539 | − | 28.4236i | 0.372710 | − | 1.14708i | ||||
\(615\) | 4.27551 | + | 6.59142i | 0.172405 | + | 0.265792i | ||||
\(616\) | 0.793851 | + | 2.44322i | 0.0319852 | + | 0.0984402i | ||||
\(617\) | −6.31500 | − | 8.69185i | −0.254232 | − | 0.349921i | 0.662756 | − | 0.748836i | \(-0.269387\pi\) |
−0.916988 | + | 0.398915i | \(0.869387\pi\) | |||||||
\(618\) | 1.39845i | 0.0562539i | ||||||||
\(619\) | −31.6807 | + | 23.0174i | −1.27336 | + | 0.925148i | −0.999331 | − | 0.0365748i | \(-0.988355\pi\) |
−0.274026 | + | 0.961722i | \(0.588355\pi\) | |||||||
\(620\) | 5.79778 | + | 4.70008i | 0.232845 | + | 0.188760i | ||||
\(621\) | −5.76087 | − | 4.18552i | −0.231176 | − | 0.167959i | ||||
\(622\) | −5.48460 | + | 7.54890i | −0.219912 | + | 0.302683i | ||||
\(623\) | 8.35325 | + | 2.71414i | 0.334666 | + | 0.108740i | ||||
\(624\) | −1.67459 | −0.0670371 | ||||||||
\(625\) | −22.8603 | + | 10.1196i | −0.914413 | + | 0.404783i | ||||
\(626\) | 24.1019 | 0.963306 | ||||||||
\(627\) | 1.49570 | + | 0.485984i | 0.0597327 | + | 0.0194083i | ||||
\(628\) | −3.68985 | + | 5.07864i | −0.147241 | + | 0.202660i | ||||
\(629\) | 0.102887 | + | 0.0747519i | 0.00410238 | + | 0.00298055i | ||||
\(630\) | 4.72691 | + | 3.83196i | 0.188324 | + | 0.152669i | ||||
\(631\) | 3.95073 | − | 2.87037i | 0.157276 | − | 0.114268i | −0.506364 | − | 0.862320i | \(-0.669011\pi\) |
0.663640 | + | 0.748052i | \(0.269011\pi\) | |||||||
\(632\) | 11.8316i | 0.470637i | ||||||||
\(633\) | −1.53383 | − | 2.11113i | −0.0609642 | − | 0.0839100i | ||||
\(634\) | −1.73797 | − | 5.34893i | −0.0690238 | − | 0.212433i | ||||
\(635\) | 25.6780 | + | 39.5870i | 1.01900 | + | 1.57096i | ||||
\(636\) | −1.77354 | + | 5.45839i | −0.0703253 | + | 0.216439i | ||||
\(637\) | 3.01682 | − | 0.980226i | 0.119531 | − | 0.0388380i | ||||
\(638\) | 5.32724 | − | 1.73093i | 0.210908 | − | 0.0685280i | ||||
\(639\) | −2.35131 | + | 7.23659i | −0.0930164 | + | 0.286275i | ||||
\(640\) | 2.16018 | − | 0.577583i | 0.0853888 | − | 0.0228310i | ||||
\(641\) | 11.0360 | + | 33.9652i | 0.435895 | + | 1.34155i | 0.892167 | + | 0.451706i | \(0.149184\pi\) |
−0.456272 | + | 0.889840i | \(0.650816\pi\) | |||||||
\(642\) | −1.46681 | − | 2.01889i | −0.0578904 | − | 0.0796793i | ||||
\(643\) | − | 28.4443i | − | 1.12173i | −0.827907 | − | 0.560866i | \(-0.810468\pi\) | ||
0.827907 | − | 0.560866i | \(-0.189532\pi\) | |||||||
\(644\) | 1.90734 | − | 1.38577i | 0.0751599 | − | 0.0546068i | ||||
\(645\) | −3.30481 | − | 12.3601i | −0.130127 | − | 0.486680i | ||||
\(646\) | −0.0111249 | − | 0.00808269i | −0.000437702 | − | 0.000318009i | ||||
\(647\) | −13.1387 | + | 18.0838i | −0.516534 | + | 0.710948i | −0.985004 | − | 0.172532i | \(-0.944805\pi\) |
0.468470 | + | 0.883479i | \(0.344805\pi\) | |||||||
\(648\) | 6.24789 | + | 2.03006i | 0.245440 | + | 0.0797484i | ||||
\(649\) | −22.5606 | −0.885580 | ||||||||
\(650\) | 3.28098 | + | 15.5173i | 0.128691 | + | 0.608639i | ||||
\(651\) | 1.76208 | 0.0690615 | ||||||||
\(652\) | −0.181385 | − | 0.0589357i | −0.00710360 | − | 0.00230810i | ||||
\(653\) | 18.4528 | − | 25.3981i | 0.722115 | − | 0.993906i | −0.277336 | − | 0.960773i | \(-0.589451\pi\) |
0.999451 | − | 0.0331331i | \(-0.0105485\pi\) | |||||||
\(654\) | −1.53667 | − | 1.11646i | −0.0600887 | − | 0.0436570i | ||||
\(655\) | 16.5898 | + | 0.878322i | 0.648216 | + | 0.0343189i | ||||
\(656\) | −5.38450 | + | 3.91207i | −0.210229 | + | 0.152741i | ||||
\(657\) | − | 19.5486i | − | 0.762665i | ||||||
\(658\) | −5.05571 | − | 6.95858i | −0.197092 | − | 0.271274i | ||||
\(659\) | −4.64428 | − | 14.2936i | −0.180915 | − | 0.556800i | 0.818939 | − | 0.573881i | \(-0.194563\pi\) |
−0.999854 | + | 0.0170807i | \(0.994563\pi\) | |||||||
\(660\) | −1.90969 | + | 2.35570i | −0.0743347 | + | 0.0916955i | ||||
\(661\) | 12.1062 | − | 37.2592i | 0.470879 | − | 1.44922i | −0.380558 | − | 0.924757i | \(-0.624268\pi\) |
0.851436 | − | 0.524458i | \(-0.175732\pi\) | |||||||
\(662\) | 13.0383 | − | 4.23641i | 0.506749 | − | 0.164653i | ||||
\(663\) | −0.0188857 | + | 0.00613633i | −0.000733459 | + | 0.000238315i | ||||
\(664\) | −3.41106 | + | 10.4982i | −0.132375 | + | 0.407408i | ||||
\(665\) | −0.137091 | + | 2.58938i | −0.00531617 | + | 0.100412i | ||||
\(666\) | −9.01872 | − | 27.7568i | −0.349468 | − | 1.07555i | ||||
\(667\) | −3.02155 | − | 4.15880i | −0.116995 | − | 0.161030i | ||||
\(668\) | 3.20663i | 0.124068i | ||||||||
\(669\) | 5.54265 | − | 4.02697i | 0.214291 | − | 0.155692i | ||||
\(670\) | −5.91985 | + | 15.3972i | −0.228704 | + | 0.594844i | ||||
\(671\) | 24.3413 | + | 17.6850i | 0.939684 | + | 0.682720i | ||||
\(672\) | 0.310301 | − | 0.427092i | 0.0119701 | − | 0.0164754i | ||||
\(673\) | 19.5960 | + | 6.36711i | 0.755369 | + | 0.245434i | 0.661290 | − | 0.750130i | \(-0.270009\pi\) |
0.0940791 | + | 0.995565i | \(0.470009\pi\) | |||||||
\(674\) | 27.4712 | 1.05815 | ||||||||
\(675\) | −1.59462 | + | 15.0174i | −0.0613770 | + | 0.578020i | ||||
\(676\) | −2.93793 | −0.112997 | ||||||||
\(677\) | −29.7915 | − | 9.67986i | −1.14498 | − | 0.372027i | −0.325731 | − | 0.945462i | \(-0.605610\pi\) |
−0.819251 | + | 0.573435i | \(0.805610\pi\) | |||||||
\(678\) | 3.56690 | − | 4.90942i | 0.136986 | − | 0.188545i | ||||
\(679\) | 4.37091 | + | 3.17565i | 0.167740 | + | 0.121870i | ||||
\(680\) | 0.0222457 | − | 0.0144296i | 0.000853082 | − | 0.000553350i | ||||
\(681\) | −2.51665 | + | 1.82846i | −0.0964384 | + | 0.0700666i | ||||
\(682\) | − | 8.57470i | − | 0.328342i | ||||||
\(683\) | 0.177271 | + | 0.243992i | 0.00678307 | + | 0.00933610i | 0.812395 | − | 0.583107i | \(-0.198163\pi\) |
−0.805612 | + | 0.592444i | \(0.798163\pi\) | |||||||
\(684\) | 0.975166 | + | 3.00125i | 0.0372864 | + | 0.114756i | ||||
\(685\) | −8.86308 | − | 3.40765i | −0.338641 | − | 0.130200i | ||||
\(686\) | −0.309017 | + | 0.951057i | −0.0117983 | + | 0.0363115i | ||||
\(687\) | −4.59254 | + | 1.49221i | −0.175216 | + | 0.0569312i | ||||
\(688\) | 10.3080 | − | 3.34927i | 0.392989 | − | 0.127690i | ||||
\(689\) | 10.6566 | − | 32.7977i | 0.405985 | − | 1.24949i | ||||
\(690\) | 2.59766 | + | 0.998742i | 0.0988914 | + | 0.0380215i | ||||
\(691\) | −4.49290 | − | 13.8277i | −0.170918 | − | 0.526031i | 0.828506 | − | 0.559981i | \(-0.189191\pi\) |
−0.999424 | + | 0.0339495i | \(0.989191\pi\) | |||||||
\(692\) | 10.3633 | + | 14.2639i | 0.393954 | + | 0.542232i | ||||
\(693\) | − | 6.99091i | − | 0.265563i | ||||||
\(694\) | −15.1359 | + | 10.9969i | −0.574552 | + | 0.417437i | ||||
\(695\) | 19.2691 | − | 12.4989i | 0.730919 | − | 0.474109i | ||||
\(696\) | −0.931239 | − | 0.676585i | −0.0352985 | − | 0.0256459i | ||||
\(697\) | −0.0463900 | + | 0.0638504i | −0.00175715 | + | 0.00241851i | ||||
\(698\) | −10.8348 | − | 3.52045i | −0.410105 | − | 0.133251i | ||||
\(699\) | 5.88809 | 0.222708 | ||||||||
\(700\) | −4.56555 | − | 2.03856i | −0.172562 | − | 0.0770505i | ||||
\(701\) | 46.9864 | 1.77465 | 0.887326 | − | 0.461143i | \(-0.152560\pi\) | ||||
0.887326 | + | 0.461143i | \(0.152560\pi\) | |||||||
\(702\) | 9.11191 | + | 2.96064i | 0.343907 | + | 0.111742i | ||||
\(703\) | 7.31010 | − | 10.0615i | 0.275706 | − | 0.379476i | ||||
\(704\) | −2.07833 | − | 1.50999i | −0.0783300 | − | 0.0569100i | ||||
\(705\) | 3.64372 | − | 9.47709i | 0.137231 | − | 0.356928i | ||||
\(706\) | 14.2846 | − | 10.3784i | 0.537609 | − | 0.390596i | ||||
\(707\) | 5.01343i | 0.188549i | ||||||||
\(708\) | 2.72506 | + | 3.75073i | 0.102414 | + | 0.140961i | ||||
\(709\) | 4.86461 | + | 14.9717i | 0.182694 | + | 0.562275i | 0.999901 | − | 0.0140698i | \(-0.00447869\pi\) |
−0.817207 | + | 0.576344i | \(0.804479\pi\) | |||||||
\(710\) | 0.330553 | − | 6.24349i | 0.0124054 | − | 0.234314i | ||||
\(711\) | 9.94956 | − | 30.6216i | 0.373138 | − | 1.14840i | ||||
\(712\) | −8.35325 | + | 2.71414i | −0.313051 | + | 0.101717i | ||||
\(713\) | −7.48411 | + | 2.43173i | −0.280282 | + | 0.0910691i | ||||
\(714\) | 0.00193448 | − | 0.00595372i | 7.23962e−5 | − | 0.000222812i | ||||
\(715\) | 11.4748 | − | 14.1547i | 0.429132 | − | 0.529355i | ||||
\(716\) | −4.13747 | − | 12.7338i | −0.154625 | − | 0.475886i | ||||
\(717\) | −5.79618 | − | 7.97776i | −0.216462 | − | 0.297935i | ||||
\(718\) | 8.96365i | 0.334520i | ||||||||
\(719\) | −39.4619 | + | 28.6707i | −1.47168 | + | 1.06924i | −0.491558 | + | 0.870845i | \(0.663572\pi\) |
−0.980122 | + | 0.198393i | \(0.936428\pi\) | |||||||
\(720\) | −6.07651 | − | 0.321713i | −0.226458 | − | 0.0119895i | ||||
\(721\) | 2.14309 | + | 1.55705i | 0.0798129 | + | 0.0579874i | ||||
\(722\) | 10.3775 | − | 14.2834i | 0.386211 | − | 0.531573i | ||||
\(723\) | −8.24441 | − | 2.67877i | −0.306613 | − | 0.0996246i | ||||
\(724\) | 15.8294 | 0.588296 | ||||||||
\(725\) | −4.44492 | + | 9.95481i | −0.165080 | + | 0.369712i | ||||
\(726\) | −2.32307 | −0.0862173 | ||||||||
\(727\) | 29.7220 | + | 9.65727i | 1.10233 | + | 0.358168i | 0.802998 | − | 0.595981i | \(-0.203237\pi\) |
0.299331 | + | 0.954149i | \(0.403237\pi\) | |||||||
\(728\) | −1.86450 | + | 2.56626i | −0.0691030 | + | 0.0951121i | ||||
\(729\) | −10.5932 | − | 7.69641i | −0.392341 | − | 0.285052i | ||||
\(730\) | 4.14909 | + | 15.5178i | 0.153565 | + | 0.574339i | ||||
\(731\) | 0.103979 | − | 0.0755449i | 0.00384579 | − | 0.00279413i | ||||
\(732\) | − | 6.18291i | − | 0.228527i | ||||||
\(733\) | −15.3681 | − | 21.1523i | −0.567633 | − | 0.781280i | 0.424639 | − | 0.905363i | \(-0.360401\pi\) |
−0.992272 | + | 0.124083i | \(0.960401\pi\) | |||||||
\(734\) | −5.13125 | − | 15.7924i | −0.189398 | − | 0.582907i | ||||
\(735\) | −1.14039 | + | 0.304915i | −0.0420641 | + | 0.0112469i | ||||
\(736\) | −0.728540 | + | 2.24222i | −0.0268544 | + | 0.0826492i | ||||
\(737\) | 18.0242 | − | 5.85641i | 0.663930 | − | 0.215724i | ||||
\(738\) | 17.2255 | − | 5.59690i | 0.634079 | − | 0.206025i | ||||
\(739\) | −8.99849 | + | 27.6945i | −0.331015 | + | 1.01876i | 0.637637 | + | 0.770337i | \(0.279912\pi\) |
−0.968652 | + | 0.248422i | \(0.920088\pi\) | |||||||
\(740\) | 13.0503 | + | 20.1193i | 0.479740 | + | 0.739599i | ||||
\(741\) | 0.600080 | + | 1.84686i | 0.0220445 | + | 0.0678460i | ||||
\(742\) | 6.39017 | + | 8.79532i | 0.234591 | + | 0.322886i | ||||
\(743\) | − | 32.9708i | − | 1.20958i | −0.796384 | − | 0.604791i | \(-0.793257\pi\) | ||
0.796384 | − | 0.604791i | \(-0.206743\pi\) | |||||||
\(744\) | −1.42556 | + | 1.03573i | −0.0522634 | + | 0.0379716i | ||||
\(745\) | −8.78146 | − | 7.11886i | −0.321728 | − | 0.260815i | ||||
\(746\) | −27.2994 | − | 19.8342i | −0.999502 | − | 0.726181i | ||||
\(747\) | 17.6564 | − | 24.3020i | 0.646015 | − | 0.889163i | ||||
\(748\) | −0.0289722 | − | 0.00941363i | −0.00105933 | − | 0.000344196i | ||||
\(749\) | −4.72706 | −0.172723 | ||||||||
\(750\) | −0.913972 | − | 5.83108i | −0.0333735 | − | 0.212921i | ||||
\(751\) | −23.9671 | −0.874571 | −0.437286 | − | 0.899323i | \(-0.644060\pi\) | ||||
−0.437286 | + | 0.899323i | \(0.644060\pi\) | |||||||
\(752\) | 8.18031 | + | 2.65794i | 0.298305 | + | 0.0969252i | ||||
\(753\) | −2.11707 | + | 2.91389i | −0.0771502 | + | 0.106188i | ||||
\(754\) | 5.59553 | + | 4.06539i | 0.203777 | + | 0.148053i | ||||
\(755\) | −34.8236 | − | 28.2304i | −1.26736 | − | 1.02741i | ||||
\(756\) | −2.44353 | + | 1.77533i | −0.0888702 | + | 0.0645679i | ||||
\(757\) | 0.237093i | 0.00861730i | 0.999991 | + | 0.00430865i | \(0.00137149\pi\) | ||||
−0.999991 | + | 0.00430865i | \(0.998629\pi\) | |||||||
\(758\) | −13.4129 | − | 18.4613i | −0.487179 | − | 0.670544i | ||||
\(759\) | −0.988039 | − | 3.04087i | −0.0358636 | − | 0.110377i | ||||
\(760\) | −1.41109 | − | 2.17543i | −0.0511857 | − | 0.0789113i | ||||
\(761\) | −2.04162 | + | 6.28346i | −0.0740087 | + | 0.227775i | −0.981217 | − | 0.192906i | \(-0.938209\pi\) |
0.907209 | + | 0.420681i | \(0.138209\pi\) | |||||||
\(762\) | −10.5949 | + | 3.44248i | −0.383812 | + | 0.124708i | ||||
\(763\) | −3.42189 | + | 1.11184i | −0.123881 | + | 0.0402513i | ||||
\(764\) | −0.840195 | + | 2.58585i | −0.0303972 | + | 0.0935529i | ||||
\(765\) | −0.0697086 | + | 0.0186384i | −0.00252032 | + | 0.000673875i | ||||
\(766\) | −6.48503 | − | 19.9589i | −0.234314 | − | 0.721143i | ||||
\(767\) | −16.3740 | − | 22.5369i | −0.591233 | − | 0.813762i | ||||
\(768\) | 0.527915i | 0.0190495i | ||||||||
\(769\) | −25.0919 | + | 18.2304i | −0.904838 | + | 0.657403i | −0.939704 | − | 0.341989i | \(-0.888900\pi\) |
0.0348661 | + | 0.999392i | \(0.488900\pi\) | |||||||
\(770\) | 1.48378 | + | 5.54942i | 0.0534719 | + | 0.199987i | ||||
\(771\) | 1.39192 | + | 1.01129i | 0.0501286 | + | 0.0364206i | ||||
\(772\) | −2.35408 | + | 3.24011i | −0.0847252 | + | 0.116614i | ||||
\(773\) | −48.8552 | − | 15.8740i | −1.75720 | − | 0.570949i | −0.760297 | − | 0.649576i | \(-0.774946\pi\) |
−0.996904 | + | 0.0786271i | \(0.974946\pi\) | |||||||
\(774\) | −29.4948 | −1.06017 | ||||||||
\(775\) | 12.3905 | + | 11.1804i | 0.445079 | + | 0.401613i | ||||
\(776\) | −5.40274 | −0.193947 | ||||||||
\(777\) | 5.38463 | + | 1.74957i | 0.193172 | + | 0.0627655i | ||||
\(778\) | −18.8222 | + | 25.9065i | −0.674808 | + | 0.928793i | ||||
\(779\) | 6.24402 | + | 4.53655i | 0.223715 | + | 0.162539i | ||||
\(780\) | −3.73925 | − | 0.197970i | −0.133887 | − | 0.00708845i | ||||
\(781\) | −5.81118 | + | 4.22207i | −0.207940 | + | 0.151077i | ||||
\(782\) | 0.0279569i | 0.000999738i | ||||||||
\(783\) | 3.87095 | + | 5.32791i | 0.138336 | + | 0.190404i | ||||
\(784\) | −0.309017 | − | 0.951057i | −0.0110363 | − | 0.0339663i | ||||
\(785\) | −8.83961 | + | 10.9041i | −0.315499 | + | 0.389184i | ||||
\(786\) | −1.21202 | + | 3.73021i | −0.0432313 | + | 0.133052i | ||||
\(787\) | −38.0935 | + | 12.3773i | −1.35789 | + | 0.441204i | −0.895337 | − | 0.445390i | \(-0.853065\pi\) |
−0.462549 | + | 0.886594i | \(0.653065\pi\) | |||||||
\(788\) | −12.9577 | + | 4.21021i | −0.461599 | + | 0.149983i | ||||
\(789\) | −3.39924 | + | 10.4618i | −0.121016 | + | 0.372449i | ||||
\(790\) | −1.39873 | + | 26.4193i | −0.0497647 | + | 0.939957i | ||||
\(791\) | −3.55215 | − | 10.9324i | −0.126300 | − | 0.388711i | ||||
\(792\) | 4.10916 | + | 5.65577i | 0.146012 | + | 0.200969i | ||||
\(793\) | 37.1512i | 1.31928i | ||||||||
\(794\) | −9.83807 | + | 7.14778i | −0.349140 | + | 0.253665i | ||||
\(795\) | −4.60549 | + | 11.9786i | −0.163340 | + | 0.424837i | ||||
\(796\) | 19.4621 | + | 14.1400i | 0.689816 | + | 0.501180i | ||||
\(797\) | −15.4441 | + | 21.2570i | −0.547059 | + | 0.752962i | −0.989609 | − | 0.143781i | \(-0.954074\pi\) |
0.442550 | + | 0.896744i | \(0.354074\pi\) | |||||||
\(798\) | −0.582223 | − | 0.189176i | −0.0206105 | − | 0.00669675i | ||||
\(799\) | 0.101996 | 0.00360834 | ||||||||
\(800\) | 4.89185 | − | 1.03433i | 0.172953 | − | 0.0365691i | ||||
\(801\) | 23.9016 | 0.844521 | ||||||||
\(802\) | −9.39791 | − | 3.05356i | −0.331852 | − | 0.107825i | ||||
\(803\) | 10.8471 | − | 14.9298i | 0.382786 | − | 0.526860i | ||||
\(804\) | −3.15075 | − | 2.28916i | −0.111119 | − | 0.0807323i | ||||
\(805\) | 4.42281 | − | 2.86885i | 0.155884 | − | 0.101114i | ||||
\(806\) | 8.56572 | − | 6.22336i | 0.301715 | − | 0.219208i | ||||
\(807\) | − | 16.2779i | − | 0.573011i | ||||||
\(808\) | −2.94682 | − | 4.05595i | −0.103669 | − | 0.142688i | ||||
\(809\) | −14.2098 | − | 43.7334i | −0.499591 | − | 1.53758i | −0.809678 | − | 0.586875i | \(-0.800358\pi\) |
0.310087 | − | 0.950708i | \(-0.399642\pi\) | |||||||
\(810\) | 13.7112 | + | 5.27164i | 0.481762 | + | 0.185226i | ||||
\(811\) | 13.6999 | − | 42.1638i | 0.481067 | − | 1.48057i | −0.356530 | − | 0.934284i | \(-0.616040\pi\) |
0.837597 | − | 0.546289i | \(-0.183960\pi\) | |||||||
\(812\) | −2.07370 | + | 0.673786i | −0.0727726 | + | 0.0236453i | ||||
\(813\) | −10.3848 | + | 3.37423i | −0.364211 | + | 0.118339i | ||||
\(814\) | 8.51382 | − | 26.2028i | 0.298409 | − | 0.918409i | ||||
\(815\) | −0.398055 | − | 0.153043i | −0.0139433 | − | 0.00536087i | ||||
\(816\) | 0.00193448 | + | 0.00595372i | 6.77204e−5 | + | 0.000208422i | ||||
\(817\) | −7.38764 | − | 10.1682i | −0.258461 | − | 0.355741i | ||||
\(818\) | − | 26.6640i | − | 0.932286i | ||||||
\(819\) | 6.98359 | − | 5.07387i | 0.244026 | − | 0.177296i | ||||
\(820\) | −12.4858 | + | 8.09886i | −0.436021 | + | 0.282824i | ||||
\(821\) | 6.47903 | + | 4.70729i | 0.226120 | + | 0.164285i | 0.695077 | − | 0.718935i | \(-0.255370\pi\) |
−0.468957 | + | 0.883221i | \(0.655370\pi\) | |||||||
\(822\) | 1.31771 | − | 1.81367i | 0.0459604 | − | 0.0632591i | ||||
\(823\) | 23.0929 | + | 7.50333i | 0.804967 | + | 0.261550i | 0.682465 | − | 0.730918i | \(-0.260908\pi\) |
0.122502 | + | 0.992468i | \(0.460908\pi\) | |||||||
\(824\) | −2.64901 | −0.0922825 | ||||||||
\(825\) | −4.54272 | + | 5.03438i | −0.158157 | + | 0.175275i | ||||
\(826\) | 8.78201 | 0.305565 | ||||||||
\(827\) | −25.0911 | − | 8.15259i | −0.872503 | − | 0.283493i | −0.161662 | − | 0.986846i | \(-0.551685\pi\) |
−0.710841 | + | 0.703353i | \(0.751685\pi\) | |||||||
\(828\) | 3.77109 | − | 5.19046i | 0.131055 | − | 0.180381i | ||||
\(829\) | −29.8939 | − | 21.7192i | −1.03826 | − | 0.754338i | −0.0683130 | − | 0.997664i | \(-0.521762\pi\) |
−0.969945 | + | 0.243326i | \(0.921762\pi\) | |||||||
\(830\) | −8.85778 | + | 23.0385i | −0.307458 | + | 0.799678i | ||||
\(831\) | −0.849988 | + | 0.617552i | −0.0294858 | + | 0.0214227i | ||||
\(832\) | − | 3.17208i | − | 0.109972i | ||||||
\(833\) | −0.00697007 | − | 0.00959347i | −0.000241498 | − | 0.000332394i | ||||
\(834\) | 1.67564 | + | 5.15710i | 0.0580227 | + | 0.178576i | ||||
\(835\) | −0.379088 | + | 7.16021i | −0.0131189 | + | 0.247789i | ||||
\(836\) | −0.920572 | + | 2.83323i | −0.0318387 | + | 0.0979893i | ||||
\(837\) | 9.58800 | − | 3.11533i | 0.331410 | − | 0.107682i | ||||
\(838\) | 9.68295 | − | 3.14618i | 0.334492 | − | 0.108683i | ||||
\(839\) | −7.74947 | + | 23.8504i | −0.267541 | + | 0.823408i | 0.723556 | + | 0.690266i | \(0.242507\pi\) |
−0.991097 | + | 0.133142i | \(0.957493\pi\) | |||||||
\(840\) | 0.743374 | − | 0.916988i | 0.0256488 | − | 0.0316391i | ||||
\(841\) | −7.49236 | − | 23.0591i | −0.258357 | − | 0.795142i | ||||
\(842\) | −7.57920 | − | 10.4319i | −0.261197 | − | 0.359506i | ||||
\(843\) | 5.81789i | 0.200379i | ||||||||
\(844\) | 3.99900 | − | 2.90544i | 0.137651 | − | 0.100009i | ||||
\(845\) | −6.56022 | − | 0.347322i | −0.225678 | − | 0.0119482i | ||||
\(846\) | −18.9364 | − | 13.7581i | −0.651048 | − | 0.473014i | ||||
\(847\) | −2.58653 | + | 3.56005i | −0.0888742 | + | 0.122325i | ||||
\(848\) | −10.3395 | − | 3.35951i | −0.355061 | − | 0.115366i | ||||
\(849\) | −14.1772 | −0.486559 | ||||||||
\(850\) | 0.0513791 | − | 0.0295906i | 0.00176229 | − | 0.00101495i | ||||
\(851\) | −25.2846 | −0.866746 | ||||||||
\(852\) | 1.40385 | + | 0.456138i | 0.0480951 | + | 0.0156270i | ||||
\(853\) | −17.2936 | + | 23.8026i | −0.592122 | + | 0.814986i | −0.994959 | − | 0.100286i | \(-0.968024\pi\) |
0.402836 | + | 0.915272i | \(0.368024\pi\) | |||||||
\(854\) | −9.47516 | − | 6.88411i | −0.324233 | − | 0.235569i | ||||
\(855\) | 1.82268 | + | 6.81690i | 0.0623344 | + | 0.233133i | ||||
\(856\) | 3.82427 | − | 2.77850i | 0.130711 | − | 0.0949670i | ||||
\(857\) | 11.5565i | 0.394763i | 0.980327 | + | 0.197382i | \(0.0632438\pi\) | ||||
−0.980327 | + | 0.197382i | \(0.936756\pi\) | |||||||
\(858\) | 2.52862 | + | 3.48034i | 0.0863256 | + | 0.118817i | ||||
\(859\) | −3.00812 | − | 9.25805i | −0.102636 | − | 0.315881i | 0.886532 | − | 0.462666i | \(-0.153107\pi\) |
−0.989168 | + | 0.146786i | \(0.953107\pi\) | |||||||
\(860\) | 23.4131 | − | 6.26012i | 0.798381 | − | 0.213468i | ||||
\(861\) | −1.08576 | + | 3.34163i | −0.0370026 | + | 0.113882i | ||||
\(862\) | 30.3344 | − | 9.85623i | 1.03319 | − | 0.335705i | ||||
\(863\) | −25.7942 | + | 8.38104i | −0.878045 | + | 0.285294i | −0.713145 | − | 0.701016i | \(-0.752730\pi\) |
−0.164900 | + | 0.986310i | \(0.552730\pi\) | |||||||
\(864\) | 0.933344 | − | 2.87254i | 0.0317530 | − | 0.0977257i | ||||
\(865\) | 21.4544 | + | 33.0756i | 0.729471 | + | 1.12460i | ||||
\(866\) | −3.67864 | − | 11.3217i | −0.125005 | − | 0.384727i | ||||
\(867\) | −5.27507 | − | 7.26051i | −0.179151 | − | 0.246580i | ||||
\(868\) | 3.33782i | 0.113293i | ||||||||
\(869\) | 24.5900 | − | 17.8657i | 0.834158 | − | 0.606052i | ||||
\(870\) | −1.99942 | − | 1.62087i | −0.0677866 | − | 0.0549525i | ||||
\(871\) | 18.9319 | + | 13.7548i | 0.641483 | + | 0.466065i | ||||
\(872\) | 2.11485 | − | 2.91083i | 0.0716177 | − | 0.0985733i | ||||
\(873\) | 13.9829 | + | 4.54332i | 0.473250 | + | 0.153768i | ||||
\(874\) | 2.73395 | 0.0924772 | ||||||||
\(875\) | −9.95361 | − | 5.09173i | −0.336493 | − | 0.172132i | ||||
\(876\) | −3.79230 | −0.128130 | ||||||||
\(877\) | −9.05284 | − | 2.94145i | −0.305693 | − | 0.0993256i | 0.152154 | − | 0.988357i | \(-0.451379\pi\) |
−0.457847 | + | 0.889031i | \(0.651379\pi\) | |||||||
\(878\) | 13.7389 | − | 18.9099i | 0.463665 | − | 0.638180i | ||||
\(879\) | −13.2659 | − | 9.63824i | −0.447448 | − | 0.325090i | ||||
\(880\) | −4.46227 | − | 3.61743i | −0.150423 | − | 0.121943i | ||||
\(881\) | 41.6465 | − | 30.2580i | 1.40311 | − | 1.01942i | 0.408827 | − | 0.912612i | \(-0.365938\pi\) |
0.994280 | − | 0.106805i | \(-0.0340620\pi\) | |||||||
\(882\) | 2.72131i | 0.0916311i | ||||||||
\(883\) | −0.852643 | − | 1.17356i | −0.0286937 | − | 0.0394935i | 0.794429 | − | 0.607357i | \(-0.207770\pi\) |
−0.823123 | + | 0.567863i | \(0.807770\pi\) | |||||||
\(884\) | −0.0116237 | − | 0.0357741i | −0.000390947 | − | 0.00120321i | ||||
\(885\) | 5.64149 | + | 8.69731i | 0.189637 | + | 0.292357i | ||||
\(886\) | −0.655074 | + | 2.01611i | −0.0220076 | + | 0.0677325i | ||||
\(887\) | 33.0302 | − | 10.7321i | 1.10904 | − | 0.360350i | 0.303467 | − | 0.952842i | \(-0.401856\pi\) |
0.805577 | + | 0.592492i | \(0.201856\pi\) | |||||||
\(888\) | −5.38463 | + | 1.74957i | −0.180696 | + | 0.0587118i | ||||
\(889\) | −6.52090 | + | 20.0693i | −0.218704 | + | 0.673102i | ||||
\(890\) | −18.9732 | + | 5.07298i | −0.635982 | + | 0.170047i | ||||
\(891\) | −5.21514 | − | 16.0506i | −0.174714 | − | 0.537714i | ||||
\(892\) | 7.62806 | + | 10.4991i | 0.255406 | + | 0.351537i | ||||
\(893\) | − | 9.97429i | − | 0.333777i | ||||||
\(894\) | 2.15918 | − | 1.56874i | 0.0722138 | − | 0.0524664i | ||||
\(895\) | −7.73334 | − | 28.9230i | −0.258497 | − | 0.966790i | ||||
\(896\) | 0.809017 | + | 0.587785i | 0.0270274 | + | 0.0196365i | ||||
\(897\) | 2.32059 | − | 3.19401i | 0.0774821 | − | 0.106645i | ||||
\(898\) | −14.3189 | − | 4.65248i | −0.477827 | − | 0.155255i | ||||
\(899\) | 7.27783 | 0.242729 | ||||||||
\(900\) | −13.5305 | − | 1.43673i | −0.451015 | − | 0.0478910i | ||||
\(901\) | −0.128918 | −0.00429487 | ||||||||
\(902\) | 16.2611 | + | 5.28356i | 0.541436 | + | 0.175923i | ||||
\(903\) | 3.36319 | − | 4.62903i | 0.111920 | − | 0.154044i | ||||
\(904\) | 9.29964 | + | 6.75658i | 0.309301 | + | 0.224721i | ||||
\(905\) | 35.3462 | + | 1.87135i | 1.17495 | + | 0.0622059i | ||||
\(906\) | 8.56241 | − | 6.22096i | 0.284467 | − | 0.206677i | ||||
\(907\) | − | 53.6447i | − | 1.78124i | −0.454746 | − | 0.890621i | \(-0.650270\pi\) | ||
0.454746 | − | 0.890621i | \(-0.349730\pi\) | |||||||
\(908\) | −3.46354 | − | 4.76716i | −0.114942 | − | 0.158204i | ||||
\(909\) | 4.21594 | + | 12.9753i | 0.139834 | + | 0.430365i | ||||
\(910\) | −4.46670 | + | 5.50989i | −0.148070 | + | 0.182651i | ||||
\(911\) | −10.5565 | + | 32.4896i | −0.349753 | + | 1.07643i | 0.609237 | + | 0.792988i | \(0.291476\pi\) |
−0.958990 | + | 0.283440i | \(0.908524\pi\) | |||||||
\(912\) | 0.582223 | − | 0.189176i | 0.0192793 | − | 0.00626423i | ||||
\(913\) | 26.9693 | − | 8.76286i | 0.892554 | − | 0.290008i | ||||
\(914\) | −8.42340 | + | 25.9246i | −0.278621 | + | 0.857509i | ||||
\(915\) | 0.730943 | − | 13.8061i | 0.0241642 | − | 0.456415i | ||||
\(916\) | −2.82660 | − | 8.69939i | −0.0933936 | − | 0.287436i | ||||
\(917\) | 4.36699 | + | 6.01064i | 0.144211 | + | 0.198489i | ||||
\(918\) | − | 0.0358160i | − | 0.00118211i | ||||||
\(919\) | −43.2404 | + | 31.4160i | −1.42637 | + | 1.03632i | −0.435689 | + | 0.900097i | \(0.643495\pi\) |
−0.990679 | + | 0.136220i | \(0.956505\pi\) | |||||||
\(920\) | −1.89186 | + | 4.92061i | −0.0623728 | + | 0.162228i | ||||
\(921\) | 12.7642 | + | 9.27376i | 0.420596 | + | 0.305581i | ||||
\(922\) | −24.7157 | + | 34.0182i | −0.813968 | + | 1.12033i | ||||
\(923\) | −8.43529 | − | 2.74079i | −0.277651 | − | 0.0902143i | ||||
\(924\) | −1.35619 | −0.0446154 | ||||||||
\(925\) | 26.7621 | + | 46.4680i | 0.879933 | + | 1.52786i | ||||
\(926\) | 27.0398 | 0.888584 | ||||||||
\(927\) | 6.85593 | + | 2.22763i | 0.225178 | + | 0.0731649i | ||||
\(928\) | 1.28162 | − | 1.76399i | 0.0420711 | − | 0.0579060i | ||||
\(929\) | −34.9645 | − | 25.4032i | −1.14715 | − | 0.833452i | −0.159049 | − | 0.987271i | \(-0.550843\pi\) |
−0.988099 | + | 0.153819i | \(0.950843\pi\) | |||||||
\(930\) | −3.30562 | + | 2.14419i | −0.108396 | + | 0.0703107i | ||||
\(931\) | −0.938159 | + | 0.681613i | −0.0307469 | + | 0.0223390i | ||||
\(932\) | 11.1535i | 0.365345i | ||||||||
\(933\) | −2.89540 | − | 3.98518i | −0.0947912 | − | 0.130469i | ||||
\(934\) | −3.95791 | − | 12.1812i | −0.129507 | − | 0.398581i | ||||
\(935\) | −0.0635803 | − | 0.0244452i | −0.00207930 | − | 0.000799443i | ||||
\(936\) | −2.66749 | + | 8.20970i | −0.0871898 | + | 0.268342i | ||||
\(937\) | 33.2641 | − | 10.8082i | 1.08669 | − | 0.353087i | 0.289724 | − | 0.957110i | \(-0.406436\pi\) |
0.796967 | + | 0.604023i | \(0.206436\pi\) | |||||||
\(938\) | −7.01615 | + | 2.27969i | −0.229086 | + | 0.0744344i | ||||
\(939\) | −3.93186 | + | 12.1010i | −0.128311 | + | 0.394902i | ||||
\(940\) | 17.9519 | + | 6.90210i | 0.585527 | + | 0.225122i | ||||
\(941\) | 17.4731 | + | 53.7766i | 0.569606 | + | 1.75307i | 0.653851 | + | 0.756623i | \(0.273152\pi\) |
−0.0842445 | + | 0.996445i | \(0.526848\pi\) | |||||||
\(942\) | −1.94793 | − | 2.68109i | −0.0634669 | − | 0.0873546i | ||||
\(943\) | − | 15.6913i | − | 0.510979i | ||||||
\(944\) | −7.10479 | + | 5.16193i | −0.231241 | + | 0.168007i | ||||
\(945\) | −5.66613 | + | 3.67532i | −0.184319 | + | 0.119558i | ||||
\(946\) | −22.5259 | − | 16.3660i | −0.732381 | − | 0.532106i | ||||
\(947\) | −21.9461 | + | 30.2062i | −0.713151 | + | 0.981568i | 0.286573 | + | 0.958058i | \(0.407484\pi\) |
−0.999724 | + | 0.0235095i | \(0.992516\pi\) | |||||||
\(948\) | −5.94039 | − | 1.93015i | −0.192935 | − | 0.0626883i | ||||
\(949\) | 22.7868 | 0.739690 | ||||||||
\(950\) | −2.89370 | − | 5.02444i | −0.0938842 | − | 0.163014i | ||||
\(951\) | 2.96910 | 0.0962797 | ||||||||
\(952\) | 0.0112778 | + | 0.00366438i | 0.000365516 | + | 0.000118763i | ||||
\(953\) | 0.314186 | − | 0.432439i | 0.0101775 | − | 0.0140081i | −0.803898 | − | 0.594767i | \(-0.797244\pi\) |
0.814075 | + | 0.580759i | \(0.197244\pi\) | |||||||
\(954\) | 23.9348 | + | 17.3896i | 0.774916 | + | 0.563010i | ||||
\(955\) | −2.18181 | + | 5.67473i | −0.0706016 | + | 0.183630i | ||||
\(956\) | 15.1118 | − | 10.9794i | 0.488752 | − | 0.355099i | ||||
\(957\) | 2.95706i | 0.0955882i | ||||||||
\(958\) | 3.91827 | + | 5.39304i | 0.126594 | + | 0.174241i | ||||
\(959\) | −1.31226 | − | 4.03872i | −0.0423750 | − | 0.130417i | ||||
\(960\) | −0.0624101 | + | 1.17880i | −0.00201428 | + | 0.0380457i | ||||
\(961\) | −6.13676 | + | 18.8870i | −0.197960 | + | 0.609259i | ||||
\(962\) | 32.3546 | − | 10.5126i | 1.04315 | − | 0.338941i | ||||
\(963\) | −12.2342 | + | 3.97512i | −0.394241 | + | 0.128097i | ||||
\(964\) | 5.07425 | − | 15.6169i | 0.163430 | − | 0.502987i | ||||
\(965\) | −5.63957 | + | 6.95668i | −0.181544 | + | 0.223943i | ||||
\(966\) | 0.384607 | + | 1.18370i | 0.0123745 | + | 0.0380849i | ||||
\(967\) | 8.97704 | + | 12.3558i | 0.288682 | + | 0.397337i | 0.928586 | − | 0.371118i | \(-0.121026\pi\) |
−0.639903 | + | 0.768455i | \(0.721026\pi\) | |||||||
\(968\) | − | 4.40047i | − | 0.141436i | ||||||
\(969\) | 0.00587299 | − | 0.00426697i | 0.000188667 | − | 0.000137075i | ||||
\(970\) | −12.0640 | − | 0.638712i | −0.387352 | − | 0.0205078i | ||||
\(971\) | 23.6200 | + | 17.1609i | 0.758001 | + | 0.550720i | 0.898297 | − | 0.439390i | \(-0.144805\pi\) |
−0.140296 | + | 0.990110i | \(0.544805\pi\) | |||||||
\(972\) | −7.36447 | + | 10.1363i | −0.236216 | + | 0.325123i | ||||
\(973\) | 9.76880 | + | 3.17407i | 0.313173 | + | 0.101756i | ||||
\(974\) | −5.30981 | −0.170137 | ||||||||
\(975\) | −8.32613 | − | 0.884109i | −0.266649 | − | 0.0283141i | ||||
\(976\) | 11.7119 | 0.374890 | ||||||||
\(977\) | 16.8453 | + | 5.47338i | 0.538930 | + | 0.175109i | 0.565819 | − | 0.824530i | \(-0.308560\pi\) |
−0.0268893 | + | 0.999638i | \(0.508560\pi\) | |||||||
\(978\) | 0.0591805 | − | 0.0814550i | 0.00189238 | − | 0.00260464i | ||||
\(979\) | 18.2542 | + | 13.2625i | 0.583408 | + | 0.423870i | ||||
\(980\) | −0.577583 | − | 2.16018i | −0.0184502 | − | 0.0690046i | ||||
\(981\) | −7.92127 | + | 5.75514i | −0.252907 | + | 0.183747i | ||||
\(982\) | − | 32.1777i | − | 1.02683i | ||||||
\(983\) | −21.9374 | − | 30.1942i | −0.699694 | − | 0.963046i | −0.999958 | − | 0.00918981i | \(-0.997075\pi\) |
0.300264 | − | 0.953856i | \(-0.402925\pi\) | |||||||
\(984\) | −1.08576 | − | 3.34163i | −0.0346128 | − | 0.106527i | ||||
\(985\) | −29.4315 | + | 7.86929i | −0.937766 | + | 0.250737i | ||||
\(986\) | 0.00798988 | − | 0.0245903i | 0.000254450 | − | 0.000783115i | ||||
\(987\) | 4.31851 | − | 1.40317i | 0.137460 | − | 0.0446633i | ||||
\(988\) | −3.49840 | + | 1.13670i | −0.111299 | + | 0.0361632i | ||||
\(989\) | −7.89627 | + | 24.3022i | −0.251087 | + | 0.772766i | ||||
\(990\) | 8.50688 | + | 13.1148i | 0.270366 | + | 0.416815i | ||||
\(991\) | 14.0755 | + | 43.3200i | 0.447124 | + | 1.37611i | 0.880138 | + | 0.474718i | \(0.157450\pi\) |
−0.433014 | + | 0.901387i | \(0.642550\pi\) | |||||||
\(992\) | −1.96192 | − | 2.70035i | −0.0622910 | − | 0.0857362i | ||||
\(993\) | 7.23735i | 0.229670i | ||||||||
\(994\) | 2.26208 | − | 1.64350i | 0.0717488 | − | 0.0521285i | ||||
\(995\) | 41.7861 | + | 33.8747i | 1.32471 | + | 1.07390i | ||||
\(996\) | −4.71442 | − | 3.42523i | −0.149382 | − | 0.108533i | ||||
\(997\) | 1.11092 | − | 1.52905i | 0.0351833 | − | 0.0484256i | −0.791063 | − | 0.611735i | \(-0.790472\pi\) |
0.826246 | + | 0.563309i | \(0.190472\pi\) | |||||||
\(998\) | −7.58000 | − | 2.46289i | −0.239941 | − | 0.0779614i | ||||
\(999\) | 32.3925 | 1.02485 |
(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 | 350.2.m.a.29.2 | ✓ | 24 | |
25.12 | odd | 20 | 8750.2.a.bb.1.8 | 12 | |||
25.13 | odd | 20 | 8750.2.a.z.1.5 | 12 | |||
25.19 | even | 10 | inner | 350.2.m.a.169.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.m.a.29.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
350.2.m.a.169.2 | yes | 24 | 25.19 | even | 10 | inner | |
8750.2.a.z.1.5 | 12 | 25.13 | odd | 20 | |||
8750.2.a.bb.1.8 | 12 | 25.12 | odd | 20 |