Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(109,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.z (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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 469.2 | ||
Character | \(\chi\) | \(=\) | 930.469 |
Dual form | 930.2.z.c.349.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 | ||||
\(3\) | 0.951057 | + | 0.309017i | 0.549093 | + | 0.178411i | ||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | 0.618034 | − | 2.14896i | 0.276393 | − | 0.961045i | ||||
\(6\) | −1.00000 | −0.408248 | ||||||||
\(7\) | 2.27036 | + | 3.12489i | 0.858117 | + | 1.18110i | 0.982015 | + | 0.188801i | \(0.0604603\pi\) |
−0.123899 | + | 0.992295i | \(0.539540\pi\) | |||||||
\(8\) | −0.587785 | + | 0.809017i | −0.207813 | + | 0.286031i | ||||
\(9\) | 0.809017 | + | 0.587785i | 0.269672 | + | 0.195928i | ||||
\(10\) | 0.0762803 | + | 2.23477i | 0.0241219 | + | 0.706695i | ||||
\(11\) | 0.577324 | − | 0.419451i | 0.174070 | − | 0.126469i | −0.497339 | − | 0.867556i | \(-0.665689\pi\) |
0.671409 | + | 0.741087i | \(0.265689\pi\) | |||||||
\(12\) | 0.951057 | − | 0.309017i | 0.274546 | − | 0.0892055i | ||||
\(13\) | 5.71731 | + | 1.85767i | 1.58570 | + | 0.515224i | 0.963516 | − | 0.267650i | \(-0.0862472\pi\) |
0.622180 | + | 0.782874i | \(0.286247\pi\) | |||||||
\(14\) | −3.12489 | − | 2.27036i | −0.835161 | − | 0.606780i | ||||
\(15\) | 1.25185 | − | 1.85280i | 0.323226 | − | 0.478391i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −1.61218 | + | 2.21897i | −0.391011 | + | 0.538180i | −0.958460 | − | 0.285229i | \(-0.907930\pi\) |
0.567449 | + | 0.823409i | \(0.307930\pi\) | |||||||
\(18\) | −0.951057 | − | 0.309017i | −0.224166 | − | 0.0728360i | ||||
\(19\) | −1.57448 | − | 4.84575i | −0.361211 | − | 1.11169i | −0.952320 | − | 0.305101i | \(-0.901310\pi\) |
0.591109 | − | 0.806591i | \(-0.298690\pi\) | |||||||
\(20\) | −0.763128 | − | 2.10182i | −0.170641 | − | 0.469981i | ||||
\(21\) | 1.19360 | + | 3.67353i | 0.260465 | + | 0.801629i | ||||
\(22\) | −0.419451 | + | 0.577324i | −0.0894272 | + | 0.123086i | ||||
\(23\) | −3.46516 | + | 4.76938i | −0.722535 | + | 0.994484i | 0.276901 | + | 0.960899i | \(0.410693\pi\) |
−0.999436 | + | 0.0335859i | \(0.989307\pi\) | |||||||
\(24\) | −0.809017 | + | 0.587785i | −0.165140 | + | 0.119981i | ||||
\(25\) | −4.23607 | − | 2.65626i | −0.847214 | − | 0.531252i | ||||
\(26\) | −6.01153 | −1.17896 | ||||||||
\(27\) | 0.587785 | + | 0.809017i | 0.113119 | + | 0.155695i | ||||
\(28\) | 3.67353 | + | 1.19360i | 0.694231 | + | 0.225569i | ||||
\(29\) | 0.426380 | + | 1.31226i | 0.0791767 | + | 0.243681i | 0.982808 | − | 0.184630i | \(-0.0591087\pi\) |
−0.903631 | + | 0.428311i | \(0.859109\pi\) | |||||||
\(30\) | −0.618034 | + | 2.14896i | −0.112837 | + | 0.392345i | ||||
\(31\) | 5.03799 | + | 2.37036i | 0.904850 | + | 0.425730i | ||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 0.678685 | − | 0.220518i | 0.118144 | − | 0.0383873i | ||||
\(34\) | 0.847572 | − | 2.60856i | 0.145357 | − | 0.447364i | ||||
\(35\) | 8.11842 | − | 2.94764i | 1.37226 | − | 0.498241i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | 5.40876i | 0.889194i | 0.895731 | + | 0.444597i | \(0.146653\pi\) | ||||
−0.895731 | + | 0.444597i | \(0.853347\pi\) | |||||||
\(38\) | 2.99484 | + | 4.12204i | 0.485827 | + | 0.668684i | ||||
\(39\) | 4.86343 | + | 3.53349i | 0.778773 | + | 0.565811i | ||||
\(40\) | 1.37527 | + | 1.76313i | 0.217450 | + | 0.278775i | ||||
\(41\) | −3.08526 | − | 9.49545i | −0.481836 | − | 1.48294i | −0.836511 | − | 0.547950i | \(-0.815408\pi\) |
0.354675 | − | 0.934990i | \(-0.384592\pi\) | |||||||
\(42\) | −2.27036 | − | 3.12489i | −0.350325 | − | 0.482181i | ||||
\(43\) | 1.97763 | − | 0.642571i | 0.301586 | − | 0.0979912i | −0.154315 | − | 0.988022i | \(-0.549317\pi\) |
0.455901 | + | 0.890030i | \(0.349317\pi\) | |||||||
\(44\) | 0.220518 | − | 0.678685i | 0.0332444 | − | 0.102316i | ||||
\(45\) | 1.76313 | − | 1.37527i | 0.262832 | − | 0.205014i | ||||
\(46\) | 1.82174 | − | 5.60674i | 0.268601 | − | 0.826669i | ||||
\(47\) | −0.107224 | − | 0.0348390i | −0.0156402 | − | 0.00508180i | 0.301186 | − | 0.953565i | \(-0.402617\pi\) |
−0.316827 | + | 0.948483i | \(0.602617\pi\) | |||||||
\(48\) | 0.587785 | − | 0.809017i | 0.0848395 | − | 0.116772i | ||||
\(49\) | −2.44725 | + | 7.53186i | −0.349607 | + | 1.07598i | ||||
\(50\) | 4.84957 | + | 1.21724i | 0.685833 | + | 0.172143i | ||||
\(51\) | −2.21897 | + | 1.61218i | −0.310718 | + | 0.225750i | ||||
\(52\) | 5.71731 | − | 1.85767i | 0.792848 | − | 0.257612i | ||||
\(53\) | 5.59026 | − | 7.69434i | 0.767882 | − | 1.05690i | −0.228636 | − | 0.973512i | \(-0.573426\pi\) |
0.996517 | − | 0.0833864i | \(-0.0265736\pi\) | |||||||
\(54\) | −0.809017 | − | 0.587785i | −0.110093 | − | 0.0799874i | ||||
\(55\) | −0.544577 | − | 1.49988i | −0.0734308 | − | 0.202244i | ||||
\(56\) | −3.86257 | −0.516158 | ||||||||
\(57\) | − | 5.09513i | − | 0.674866i | ||||||
\(58\) | −0.811022 | − | 1.11628i | −0.106492 | − | 0.146574i | ||||
\(59\) | 1.63348 | − | 5.02734i | 0.212661 | − | 0.654504i | −0.786650 | − | 0.617399i | \(-0.788186\pi\) |
0.999311 | − | 0.0371050i | \(-0.0118136\pi\) | |||||||
\(60\) | −0.0762803 | − | 2.23477i | −0.00984774 | − | 0.288507i | ||||
\(61\) | −3.71828 | −0.476077 | −0.238039 | − | 0.971256i | \(-0.576504\pi\) | ||||
−0.238039 | + | 0.971256i | \(0.576504\pi\) | |||||||
\(62\) | −5.52390 | − | 0.697525i | −0.701536 | − | 0.0885858i | ||||
\(63\) | 3.86257i | 0.486638i | ||||||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | 7.52554 | − | 11.1382i | 0.933429 | − | 1.38152i | ||||
\(66\) | −0.577324 | + | 0.419451i | −0.0710637 | + | 0.0516308i | ||||
\(67\) | 7.24886i | 0.885589i | 0.896623 | + | 0.442794i | \(0.146013\pi\) | ||||
−0.896623 | + | 0.442794i | \(0.853987\pi\) | |||||||
\(68\) | 2.74280i | 0.332614i | ||||||||
\(69\) | −4.76938 | + | 3.46516i | −0.574166 | + | 0.417156i | ||||
\(70\) | −6.81021 | + | 5.31210i | −0.813976 | + | 0.634917i | ||||
\(71\) | 5.18958 | + | 3.77045i | 0.615890 | + | 0.447470i | 0.851483 | − | 0.524382i | \(-0.175703\pi\) |
−0.235594 | + | 0.971852i | \(0.575703\pi\) | |||||||
\(72\) | −0.951057 | + | 0.309017i | −0.112083 | + | 0.0364180i | ||||
\(73\) | 1.79467 | + | 2.47015i | 0.210050 | + | 0.289110i | 0.901023 | − | 0.433771i | \(-0.142817\pi\) |
−0.690973 | + | 0.722881i | \(0.742817\pi\) | |||||||
\(74\) | −1.67140 | − | 5.14403i | −0.194296 | − | 0.597982i | ||||
\(75\) | −3.20791 | − | 3.83527i | −0.370418 | − | 0.442859i | ||||
\(76\) | −4.12204 | − | 2.99484i | −0.472831 | − | 0.343532i | ||||
\(77\) | 2.62147 | + | 0.851768i | 0.298744 | + | 0.0970680i | ||||
\(78\) | −5.71731 | − | 1.85767i | −0.647358 | − | 0.210339i | ||||
\(79\) | 8.60658 | + | 6.25305i | 0.968316 | + | 0.703523i | 0.955067 | − | 0.296389i | \(-0.0957826\pi\) |
0.0132488 | + | 0.999912i | \(0.495783\pi\) | |||||||
\(80\) | −1.85280 | − | 1.25185i | −0.207149 | − | 0.139961i | ||||
\(81\) | 0.309017 | + | 0.951057i | 0.0343352 | + | 0.105673i | ||||
\(82\) | 5.86851 | + | 8.07731i | 0.648068 | + | 0.891990i | ||||
\(83\) | 12.9090 | − | 4.19440i | 1.41695 | − | 0.460395i | 0.502319 | − | 0.864682i | \(-0.332480\pi\) |
0.914632 | + | 0.404287i | \(0.132480\pi\) | |||||||
\(84\) | 3.12489 | + | 2.27036i | 0.340953 | + | 0.247717i | ||||
\(85\) | 3.77211 | + | 4.83591i | 0.409142 | + | 0.524528i | ||||
\(86\) | −1.68227 | + | 1.22224i | −0.181404 | + | 0.131798i | ||||
\(87\) | 1.37979i | 0.147929i | ||||||||
\(88\) | 0.713612i | 0.0760713i | ||||||||
\(89\) | −7.59311 | + | 5.51672i | −0.804868 | + | 0.584771i | −0.912338 | − | 0.409438i | \(-0.865725\pi\) |
0.107470 | + | 0.994208i | \(0.465725\pi\) | |||||||
\(90\) | −1.25185 | + | 1.85280i | −0.131957 | + | 0.195302i | ||||
\(91\) | 7.17537 | + | 22.0835i | 0.752183 | + | 2.31498i | ||||
\(92\) | 5.89528i | 0.614625i | ||||||||
\(93\) | 4.05893 | + | 3.81118i | 0.420892 | + | 0.395201i | ||||
\(94\) | 0.112741 | 0.0116284 | ||||||||
\(95\) | −11.3864 | + | 0.388658i | −1.16822 | + | 0.0398754i | ||||
\(96\) | −0.309017 | + | 0.951057i | −0.0315389 | + | 0.0970668i | ||||
\(97\) | −10.3835 | − | 14.2917i | −1.05429 | − | 1.45110i | −0.885033 | − | 0.465527i | \(-0.845865\pi\) |
−0.169253 | − | 0.985573i | \(-0.554135\pi\) | |||||||
\(98\) | − | 7.91947i | − | 0.799987i | ||||||
\(99\) | 0.713612 | 0.0717207 | ||||||||
\(100\) | −4.98836 | + | 0.340937i | −0.498836 | + | 0.0340937i | ||||
\(101\) | 1.77065 | + | 1.28645i | 0.176186 | + | 0.128006i | 0.672383 | − | 0.740203i | \(-0.265271\pi\) |
−0.496197 | + | 0.868210i | \(0.665271\pi\) | |||||||
\(102\) | 1.61218 | − | 2.21897i | 0.159629 | − | 0.219711i | ||||
\(103\) | −4.22523 | + | 1.37286i | −0.416324 | + | 0.135272i | −0.509686 | − | 0.860360i | \(-0.670239\pi\) |
0.0933623 | + | 0.995632i | \(0.470239\pi\) | |||||||
\(104\) | −4.86343 | + | 3.53349i | −0.476899 | + | 0.346487i | ||||
\(105\) | 8.63195 | − | 0.294638i | 0.842392 | − | 0.0287537i | ||||
\(106\) | −2.93898 | + | 9.04524i | −0.285459 | + | 0.878551i | ||||
\(107\) | −3.03552 | + | 4.17804i | −0.293455 | + | 0.403906i | −0.930133 | − | 0.367224i | \(-0.880308\pi\) |
0.636678 | + | 0.771130i | \(0.280308\pi\) | |||||||
\(108\) | 0.951057 | + | 0.309017i | 0.0915155 | + | 0.0297352i | ||||
\(109\) | 5.62723 | − | 17.3188i | 0.538991 | − | 1.65884i | −0.195874 | − | 0.980629i | \(-0.562754\pi\) |
0.734865 | − | 0.678214i | \(-0.237246\pi\) | |||||||
\(110\) | 0.981413 | + | 1.25819i | 0.0935740 | + | 0.119964i | ||||
\(111\) | −1.67140 | + | 5.14403i | −0.158642 | + | 0.488250i | ||||
\(112\) | 3.67353 | − | 1.19360i | 0.347116 | − | 0.112785i | ||||
\(113\) | −5.28909 | − | 7.27981i | −0.497556 | − | 0.684827i | 0.484203 | − | 0.874956i | \(-0.339110\pi\) |
−0.981759 | + | 0.190128i | \(0.939110\pi\) | |||||||
\(114\) | 1.57448 | + | 4.84575i | 0.147464 | + | 0.453846i | ||||
\(115\) | 8.10763 | + | 10.3941i | 0.756040 | + | 0.969257i | ||||
\(116\) | 1.11628 | + | 0.811022i | 0.103644 | + | 0.0753015i | ||||
\(117\) | 3.53349 | + | 4.86343i | 0.326671 | + | 0.449625i | ||||
\(118\) | 5.28606i | 0.486621i | ||||||||
\(119\) | −10.5943 | −0.971175 | ||||||||
\(120\) | 0.763128 | + | 2.10182i | 0.0696637 | + | 0.191869i | ||||
\(121\) | −3.24182 | + | 9.97730i | −0.294711 | + | 0.907028i | ||||
\(122\) | 3.53629 | − | 1.14901i | 0.320161 | − | 0.104027i | ||||
\(123\) | − | 9.98411i | − | 0.900236i | ||||||
\(124\) | 5.46909 | − | 1.04359i | 0.491139 | − | 0.0937174i | ||||
\(125\) | −8.32624 | + | 7.46149i | −0.744721 | + | 0.667376i | ||||
\(126\) | −1.19360 | − | 3.67353i | −0.106334 | − | 0.327264i | ||||
\(127\) | −0.362824 | − | 0.117889i | −0.0321954 | − | 0.0104609i | 0.292875 | − | 0.956151i | \(-0.405388\pi\) |
−0.325070 | + | 0.945690i | \(0.605388\pi\) | |||||||
\(128\) | 0.587785 | + | 0.809017i | 0.0519534 | + | 0.0715077i | ||||
\(129\) | 2.07940 | 0.183081 | ||||||||
\(130\) | −3.71533 | + | 12.9186i | −0.325856 | + | 1.13303i | ||||
\(131\) | −8.16791 | + | 5.93433i | −0.713634 | + | 0.518485i | −0.884344 | − | 0.466836i | \(-0.845394\pi\) |
0.170710 | + | 0.985321i | \(0.445394\pi\) | |||||||
\(132\) | 0.419451 | − | 0.577324i | 0.0365085 | − | 0.0502496i | ||||
\(133\) | 11.5678 | − | 15.9217i | 1.00305 | − | 1.38059i | ||||
\(134\) | −2.24002 | − | 6.89407i | −0.193508 | − | 0.595557i | ||||
\(135\) | 2.10182 | − | 0.763128i | 0.180896 | − | 0.0656796i | ||||
\(136\) | −0.847572 | − | 2.60856i | −0.0726787 | − | 0.223682i | ||||
\(137\) | 6.79193 | + | 2.20683i | 0.580274 | + | 0.188542i | 0.584423 | − | 0.811449i | \(-0.301321\pi\) |
−0.00414932 | + | 0.999991i | \(0.501321\pi\) | |||||||
\(138\) | 3.46516 | − | 4.76938i | 0.294974 | − | 0.405997i | ||||
\(139\) | 2.95307 | − | 9.08863i | 0.250476 | − | 0.770887i | −0.744211 | − | 0.667945i | \(-0.767174\pi\) |
0.994687 | − | 0.102943i | \(-0.0328258\pi\) | |||||||
\(140\) | 4.83537 | − | 7.15658i | 0.408663 | − | 0.604841i | ||||
\(141\) | −0.0912098 | − | 0.0662678i | −0.00768125 | − | 0.00558075i | ||||
\(142\) | −6.10071 | − | 1.98224i | −0.511961 | − | 0.166346i | ||||
\(143\) | 4.07994 | − | 1.32565i | 0.341182 | − | 0.110857i | ||||
\(144\) | 0.809017 | − | 0.587785i | 0.0674181 | − | 0.0489821i | ||||
\(145\) | 3.08352 | − | 0.105251i | 0.256072 | − | 0.00874062i | ||||
\(146\) | −2.47015 | − | 1.79467i | −0.204431 | − | 0.148528i | ||||
\(147\) | −4.65495 | + | 6.40699i | −0.383934 | + | 0.528439i | ||||
\(148\) | 3.17919 | + | 4.37578i | 0.261328 | + | 0.359687i | ||||
\(149\) | 5.71377 | 0.468090 | 0.234045 | − | 0.972226i | \(-0.424804\pi\) | ||||
0.234045 | + | 0.972226i | \(0.424804\pi\) | |||||||
\(150\) | 4.23607 | + | 2.65626i | 0.345874 | + | 0.216883i | ||||
\(151\) | −3.56657 | + | 2.59126i | −0.290243 | + | 0.210874i | −0.723373 | − | 0.690458i | \(-0.757409\pi\) |
0.433130 | + | 0.901332i | \(0.357409\pi\) | |||||||
\(152\) | 4.84575 | + | 1.57448i | 0.393042 | + | 0.127707i | ||||
\(153\) | −2.60856 | + | 0.847572i | −0.210890 | + | 0.0685222i | ||||
\(154\) | −2.75638 | −0.222115 | ||||||||
\(155\) | 8.20747 | − | 9.36149i | 0.659240 | − | 0.751933i | ||||
\(156\) | 6.01153 | 0.481308 | ||||||||
\(157\) | −18.4517 | + | 5.99534i | −1.47261 | + | 0.478480i | −0.931896 | − | 0.362727i | \(-0.881846\pi\) |
−0.540714 | + | 0.841207i | \(0.681846\pi\) | |||||||
\(158\) | −10.1176 | − | 3.28742i | −0.804916 | − | 0.261533i | ||||
\(159\) | 7.69434 | − | 5.59026i | 0.610201 | − | 0.443337i | ||||
\(160\) | 2.14896 | + | 0.618034i | 0.169890 | + | 0.0488599i | ||||
\(161\) | −22.7709 | −1.79460 | ||||||||
\(162\) | −0.587785 | − | 0.809017i | −0.0461808 | − | 0.0635624i | ||||
\(163\) | 4.69656 | − | 6.46426i | 0.367863 | − | 0.506320i | −0.584456 | − | 0.811426i | \(-0.698692\pi\) |
0.952318 | + | 0.305106i | \(0.0986919\pi\) | |||||||
\(164\) | −8.07731 | − | 5.86851i | −0.630732 | − | 0.458254i | ||||
\(165\) | −0.0544345 | − | 1.59476i | −0.00423772 | − | 0.124152i | ||||
\(166\) | −10.9811 | + | 7.97823i | −0.852298 | + | 0.619231i | ||||
\(167\) | −20.1534 | + | 6.54823i | −1.55952 | + | 0.506717i | −0.956678 | − | 0.291147i | \(-0.905963\pi\) |
−0.602837 | + | 0.797865i | \(0.705963\pi\) | |||||||
\(168\) | −3.67353 | − | 1.19360i | −0.283419 | − | 0.0920883i | ||||
\(169\) | 18.7195 | + | 13.6005i | 1.43996 | + | 1.04619i | ||||
\(170\) | −5.08186 | − | 3.43358i | −0.389761 | − | 0.263343i | ||||
\(171\) | 1.57448 | − | 4.84575i | 0.120404 | − | 0.370564i | ||||
\(172\) | 1.22224 | − | 1.68227i | 0.0931952 | − | 0.128272i | ||||
\(173\) | −5.08522 | − | 1.65229i | −0.386622 | − | 0.125621i | 0.109255 | − | 0.994014i | \(-0.465153\pi\) |
−0.495877 | + | 0.868393i | \(0.665153\pi\) | |||||||
\(174\) | −0.426380 | − | 1.31226i | −0.0323238 | − | 0.0994823i | ||||
\(175\) | −1.31689 | − | 19.2679i | −0.0995479 | − | 1.45652i | ||||
\(176\) | −0.220518 | − | 0.678685i | −0.0166222 | − | 0.0511578i | ||||
\(177\) | 3.10707 | − | 4.27651i | 0.233542 | − | 0.321442i | ||||
\(178\) | 5.51672 | − | 7.59311i | 0.413495 | − | 0.569127i | ||||
\(179\) | 8.36589 | − | 6.07818i | 0.625296 | − | 0.454304i | −0.229471 | − | 0.973315i | \(-0.573700\pi\) |
0.854767 | + | 0.519011i | \(0.173700\pi\) | |||||||
\(180\) | 0.618034 | − | 2.14896i | 0.0460655 | − | 0.160174i | ||||
\(181\) | −12.7894 | −0.950629 | −0.475315 | − | 0.879816i | \(-0.657666\pi\) | ||||
−0.475315 | + | 0.879816i | \(0.657666\pi\) | |||||||
\(182\) | −13.6484 | − | 18.7854i | −1.01168 | − | 1.39246i | ||||
\(183\) | −3.53629 | − | 1.14901i | −0.261410 | − | 0.0849374i | ||||
\(184\) | −1.82174 | − | 5.60674i | −0.134301 | − | 0.413335i | ||||
\(185\) | 11.6232 | + | 3.34280i | 0.854555 | + | 0.245767i | ||||
\(186\) | −5.03799 | − | 2.37036i | −0.369404 | − | 0.173804i | ||||
\(187\) | 1.95730i | 0.143132i | ||||||||
\(188\) | −0.107224 | + | 0.0348390i | −0.00782008 | + | 0.00254090i | ||||
\(189\) | −1.19360 | + | 3.67353i | −0.0868217 | + | 0.267210i | ||||
\(190\) | 10.7090 | − | 3.88823i | 0.776914 | − | 0.282082i | ||||
\(191\) | 23.7296 | 1.71701 | 0.858505 | − | 0.512805i | \(-0.171394\pi\) | ||||
0.858505 | + | 0.512805i | \(0.171394\pi\) | |||||||
\(192\) | − | 1.00000i | − | 0.0721688i | ||||||
\(193\) | −15.9964 | − | 22.0172i | −1.15145 | − | 1.58483i | −0.738780 | − | 0.673947i | \(-0.764598\pi\) |
−0.412666 | − | 0.910882i | \(-0.635402\pi\) | |||||||
\(194\) | 14.2917 | + | 10.3835i | 1.02608 | + | 0.745493i | ||||
\(195\) | 10.5991 | − | 8.26751i | 0.759017 | − | 0.592049i | ||||
\(196\) | 2.44725 | + | 7.53186i | 0.174804 | + | 0.537990i | ||||
\(197\) | −2.05205 | − | 2.82440i | −0.146202 | − | 0.201230i | 0.729635 | − | 0.683837i | \(-0.239690\pi\) |
−0.875837 | + | 0.482607i | \(0.839690\pi\) | |||||||
\(198\) | −0.678685 | + | 0.220518i | −0.0482321 | + | 0.0156715i | ||||
\(199\) | 5.56747 | − | 17.1349i | 0.394667 | − | 1.21466i | −0.534553 | − | 0.845135i | \(-0.679520\pi\) |
0.929220 | − | 0.369526i | \(-0.120480\pi\) | |||||||
\(200\) | 4.63886 | − | 1.86574i | 0.328017 | − | 0.131928i | ||||
\(201\) | −2.24002 | + | 6.89407i | −0.157999 | + | 0.486270i | ||||
\(202\) | −2.08152 | − | 0.676326i | −0.146455 | − | 0.0475861i | ||||
\(203\) | −3.13263 | + | 4.31170i | −0.219868 | + | 0.302622i | ||||
\(204\) | −0.847572 | + | 2.60856i | −0.0593419 | + | 0.182636i | ||||
\(205\) | −22.3121 | + | 0.761590i | −1.55835 | + | 0.0531918i | ||||
\(206\) | 3.59419 | − | 2.61133i | 0.250419 | − | 0.181940i | ||||
\(207\) | −5.60674 | + | 1.82174i | −0.389696 | + | 0.126620i | ||||
\(208\) | 3.53349 | − | 4.86343i | 0.245004 | − | 0.337218i | ||||
\(209\) | −2.94154 | − | 2.13715i | −0.203471 | − | 0.147830i | ||||
\(210\) | −8.11842 | + | 2.94764i | −0.560224 | + | 0.203406i | ||||
\(211\) | −11.3398 | −0.780665 | −0.390332 | − | 0.920674i | \(-0.627640\pi\) | ||||
−0.390332 | + | 0.920674i | \(0.627640\pi\) | |||||||
\(212\) | − | 9.51072i | − | 0.653199i | ||||||
\(213\) | 3.77045 | + | 5.18958i | 0.258347 | + | 0.355584i | ||||
\(214\) | 1.59587 | − | 4.91158i | 0.109091 | − | 0.335749i | ||||
\(215\) | −0.158617 | − | 4.64698i | −0.0108176 | − | 0.316922i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | 4.03095 | + | 21.1247i | 0.273639 | + | 1.43404i | ||||
\(218\) | 18.2101i | 1.23334i | ||||||||
\(219\) | 0.943515 | + | 2.90384i | 0.0637568 | + | 0.196223i | ||||
\(220\) | −1.32218 | − | 0.893336i | −0.0891414 | − | 0.0602287i | ||||
\(221\) | −13.3394 | + | 9.69167i | −0.897307 | + | 0.651932i | ||||
\(222\) | − | 5.40876i | − | 0.363012i | ||||||
\(223\) | − | 23.3341i | − | 1.56257i | −0.624177 | − | 0.781283i | \(-0.714566\pi\) | ||
0.624177 | − | 0.781283i | \(-0.285434\pi\) | |||||||
\(224\) | −3.12489 | + | 2.27036i | −0.208790 | + | 0.151695i | ||||
\(225\) | −1.86574 | − | 4.63886i | −0.124383 | − | 0.309257i | ||||
\(226\) | 7.27981 | + | 5.28909i | 0.484246 | + | 0.351825i | ||||
\(227\) | 0.584965 | − | 0.190066i | 0.0388255 | − | 0.0126152i | −0.289540 | − | 0.957166i | \(-0.593502\pi\) |
0.328365 | + | 0.944551i | \(0.393502\pi\) | |||||||
\(228\) | −2.99484 | − | 4.12204i | −0.198338 | − | 0.272989i | ||||
\(229\) | 1.40399 | + | 4.32104i | 0.0927783 | + | 0.285542i | 0.986668 | − | 0.162744i | \(-0.0520345\pi\) |
−0.893890 | + | 0.448286i | \(0.852035\pi\) | |||||||
\(230\) | −10.9228 | − | 7.38001i | −0.720226 | − | 0.486623i | ||||
\(231\) | 2.22996 | + | 1.62016i | 0.146720 | + | 0.106599i | ||||
\(232\) | −1.31226 | − | 0.426380i | −0.0861542 | − | 0.0279932i | ||||
\(233\) | −14.1119 | − | 4.58524i | −0.924501 | − | 0.300389i | −0.192189 | − | 0.981358i | \(-0.561559\pi\) |
−0.732312 | + | 0.680969i | \(0.761559\pi\) | |||||||
\(234\) | −4.86343 | − | 3.53349i | −0.317933 | − | 0.230992i | ||||
\(235\) | −0.141136 | + | 0.208887i | −0.00920667 | + | 0.0136263i | ||||
\(236\) | −1.63348 | − | 5.02734i | −0.106331 | − | 0.327252i | ||||
\(237\) | 6.25305 | + | 8.60658i | 0.406179 | + | 0.559057i | ||||
\(238\) | 10.0758 | − | 3.27381i | 0.653114 | − | 0.212210i | ||||
\(239\) | −5.12906 | − | 3.72648i | −0.331771 | − | 0.241046i | 0.409410 | − | 0.912350i | \(-0.365734\pi\) |
−0.741182 | + | 0.671304i | \(0.765734\pi\) | |||||||
\(240\) | −1.37527 | − | 1.76313i | −0.0887736 | − | 0.113809i | ||||
\(241\) | −15.5065 | + | 11.2661i | −0.998860 | + | 0.725715i | −0.961844 | − | 0.273600i | \(-0.911786\pi\) |
−0.0370168 | + | 0.999315i | \(0.511786\pi\) | |||||||
\(242\) | − | 10.4908i | − | 0.674371i | ||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −3.00815 | + | 2.18555i | −0.192577 | + | 0.139916i | ||||
\(245\) | 14.6732 | + | 9.91400i | 0.937436 | + | 0.633382i | ||||
\(246\) | 3.08526 | + | 9.49545i | 0.196709 | + | 0.605408i | ||||
\(247\) | − | 30.6295i | − | 1.94891i | ||||||
\(248\) | −4.87892 | + | 2.68256i | −0.309812 | + | 0.170343i | ||||
\(249\) | 13.5734 | 0.860177 | ||||||||
\(250\) | 5.61300 | − | 9.66924i | 0.354997 | − | 0.611537i | ||||
\(251\) | 1.19371 | − | 3.67386i | 0.0753462 | − | 0.231892i | −0.906289 | − | 0.422658i | \(-0.861097\pi\) |
0.981636 | + | 0.190766i | \(0.0610972\pi\) | |||||||
\(252\) | 2.27036 | + | 3.12489i | 0.143019 | + | 0.196849i | ||||
\(253\) | 4.20694i | 0.264488i | ||||||||
\(254\) | 0.381496 | 0.0239372 | ||||||||
\(255\) | 2.09311 | + | 5.76487i | 0.131076 | + | 0.361010i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −12.4791 | + | 17.1760i | −0.778424 | + | 1.07141i | 0.217029 | + | 0.976165i | \(0.430363\pi\) |
−0.995454 | + | 0.0952443i | \(0.969637\pi\) | |||||||
\(258\) | −1.97763 | + | 0.642571i | −0.123122 | + | 0.0400047i | ||||
\(259\) | −16.9018 | + | 12.2798i | −1.05022 | + | 0.763032i | ||||
\(260\) | −0.458561 | − | 13.4344i | −0.0284388 | − | 0.833165i | ||||
\(261\) | −0.426380 | + | 1.31226i | −0.0263922 | + | 0.0812270i | ||||
\(262\) | 5.93433 | − | 8.16791i | 0.366624 | − | 0.504615i | ||||
\(263\) | −25.0980 | − | 8.15484i | −1.54761 | − | 0.502849i | −0.594147 | − | 0.804357i | \(-0.702510\pi\) |
−0.953464 | + | 0.301508i | \(0.902510\pi\) | |||||||
\(264\) | −0.220518 | + | 0.678685i | −0.0135720 | + | 0.0417702i | ||||
\(265\) | −13.0799 | − | 16.7686i | −0.803489 | − | 1.03009i | ||||
\(266\) | −6.08155 | + | 18.7171i | −0.372884 | + | 1.14762i | ||||
\(267\) | −8.92623 | + | 2.90031i | −0.546277 | + | 0.177496i | ||||
\(268\) | 4.26077 | + | 5.86445i | 0.260268 | + | 0.358228i | ||||
\(269\) | −3.38102 | − | 10.4057i | −0.206144 | − | 0.634447i | −0.999664 | − | 0.0259027i | \(-0.991754\pi\) |
0.793520 | − | 0.608544i | \(-0.208246\pi\) | |||||||
\(270\) | −1.76313 | + | 1.37527i | −0.107301 | + | 0.0836966i | ||||
\(271\) | −24.6545 | − | 17.9125i | −1.49765 | − | 1.08811i | −0.971304 | − | 0.237840i | \(-0.923560\pi\) |
−0.526349 | − | 0.850269i | \(-0.676440\pi\) | |||||||
\(272\) | 1.61218 | + | 2.21897i | 0.0977527 | + | 0.134545i | ||||
\(273\) | 23.2200i | 1.40534i | ||||||||
\(274\) | −7.14146 | −0.431431 | ||||||||
\(275\) | −3.55976 | + | 0.243297i | −0.214661 | + | 0.0146714i | ||||
\(276\) | −1.82174 | + | 5.60674i | −0.109656 | + | 0.337486i | ||||
\(277\) | −2.64908 | + | 0.860739i | −0.159168 | + | 0.0517168i | −0.387517 | − | 0.921862i | \(-0.626667\pi\) |
0.228349 | + | 0.973579i | \(0.426667\pi\) | |||||||
\(278\) | 9.55635i | 0.573152i | ||||||||
\(279\) | 2.68256 | + | 4.87892i | 0.160600 | + | 0.292093i | ||||
\(280\) | −2.38720 | + | 8.30052i | −0.142663 | + | 0.496051i | ||||
\(281\) | −9.73723 | − | 29.9681i | −0.580875 | − | 1.78775i | −0.615241 | − | 0.788339i | \(-0.710941\pi\) |
0.0343661 | − | 0.999409i | \(-0.489059\pi\) | |||||||
\(282\) | 0.107224 | + | 0.0348390i | 0.00638507 | + | 0.00207463i | ||||
\(283\) | 5.28715 | + | 7.27714i | 0.314288 | + | 0.432581i | 0.936713 | − | 0.350099i | \(-0.113852\pi\) |
−0.622424 | + | 0.782680i | \(0.713852\pi\) | |||||||
\(284\) | 6.41467 | 0.380641 | ||||||||
\(285\) | −10.9492 | − | 3.14896i | −0.648576 | − | 0.186528i | ||||
\(286\) | −3.47060 | + | 2.52154i | −0.205221 | + | 0.149102i | ||||
\(287\) | 22.6675 | − | 31.1992i | 1.33802 | − | 1.84163i | ||||
\(288\) | −0.587785 | + | 0.809017i | −0.0346356 | + | 0.0476718i | ||||
\(289\) | 2.92857 | + | 9.01320i | 0.172269 | + | 0.530188i | ||||
\(290\) | −2.90007 | + | 1.05296i | −0.170298 | + | 0.0618319i | ||||
\(291\) | −5.45894 | − | 16.8009i | −0.320008 | − | 0.984885i | ||||
\(292\) | 2.90384 | + | 0.943515i | 0.169934 | + | 0.0552150i | ||||
\(293\) | −17.7617 | + | 24.4468i | −1.03765 | + | 1.42820i | −0.138599 | + | 0.990349i | \(0.544260\pi\) |
−0.899048 | + | 0.437850i | \(0.855740\pi\) | |||||||
\(294\) | 2.44725 | − | 7.53186i | 0.142727 | − | 0.439267i | ||||
\(295\) | −9.79401 | − | 6.61736i | −0.570230 | − | 0.385277i | ||||
\(296\) | −4.37578 | − | 3.17919i | −0.254337 | − | 0.184787i | ||||
\(297\) | 0.678685 | + | 0.220518i | 0.0393813 | + | 0.0127958i | ||||
\(298\) | −5.43412 | + | 1.76565i | −0.314790 | + | 0.102282i | ||||
\(299\) | −28.6713 | + | 20.8309i | −1.65810 | + | 1.20468i | ||||
\(300\) | −4.84957 | − | 1.21724i | −0.279990 | − | 0.0702773i | ||||
\(301\) | 6.49790 | + | 4.72100i | 0.374533 | + | 0.272114i | ||||
\(302\) | 2.59126 | − | 3.56657i | 0.149110 | − | 0.205233i | ||||
\(303\) | 1.28645 | + | 1.77065i | 0.0739046 | + | 0.101721i | ||||
\(304\) | −5.09513 | −0.292226 | ||||||||
\(305\) | −2.29802 | + | 7.99044i | −0.131584 | + | 0.457531i | ||||
\(306\) | 2.21897 | − | 1.61218i | 0.126850 | − | 0.0921621i | ||||
\(307\) | 16.2438 | + | 5.27793i | 0.927082 | + | 0.301227i | 0.733369 | − | 0.679831i | \(-0.237947\pi\) |
0.193713 | + | 0.981058i | \(0.437947\pi\) | |||||||
\(308\) | 2.62147 | − | 0.851768i | 0.149372 | − | 0.0485340i | ||||
\(309\) | −4.44267 | −0.252734 | ||||||||
\(310\) | −4.91291 | + | 11.4395i | −0.279035 | + | 0.649723i | ||||
\(311\) | −16.4174 | −0.930945 | −0.465473 | − | 0.885062i | \(-0.654116\pi\) | ||||
−0.465473 | + | 0.885062i | \(0.654116\pi\) | |||||||
\(312\) | −5.71731 | + | 1.85767i | −0.323679 | + | 0.105170i | ||||
\(313\) | 21.2421 | + | 6.90198i | 1.20067 | + | 0.390123i | 0.840009 | − | 0.542572i | \(-0.182550\pi\) |
0.360666 | + | 0.932695i | \(0.382550\pi\) | |||||||
\(314\) | 15.6960 | − | 11.4038i | 0.885776 | − | 0.643554i | ||||
\(315\) | 8.30052 | + | 2.38720i | 0.467681 | + | 0.134504i | ||||
\(316\) | 10.6383 | 0.598452 | ||||||||
\(317\) | 15.6685 | + | 21.5659i | 0.880032 | + | 1.21126i | 0.976412 | + | 0.215916i | \(0.0692736\pi\) |
−0.0963799 | + | 0.995345i | \(0.530726\pi\) | |||||||
\(318\) | −5.59026 | + | 7.69434i | −0.313486 | + | 0.431477i | ||||
\(319\) | 0.796588 | + | 0.578755i | 0.0446004 | + | 0.0324041i | ||||
\(320\) | −2.23477 | + | 0.0762803i | −0.124927 | + | 0.00426420i | ||||
\(321\) | −4.17804 | + | 3.03552i | −0.233195 | + | 0.169426i | ||||
\(322\) | 21.6565 | − | 7.03661i | 1.20687 | − | 0.392135i | ||||
\(323\) | 13.2909 | + | 4.31849i | 0.739528 | + | 0.240287i | ||||
\(324\) | 0.809017 | + | 0.587785i | 0.0449454 | + | 0.0326547i | ||||
\(325\) | −19.2845 | − | 23.0559i | −1.06971 | − | 1.27891i | ||||
\(326\) | −2.46913 | + | 7.59919i | −0.136752 | + | 0.420880i | ||||
\(327\) | 10.7036 | − | 14.7323i | 0.591912 | − | 0.814697i | ||||
\(328\) | 9.49545 | + | 3.08526i | 0.524298 | + | 0.170355i | ||||
\(329\) | −0.134568 | − | 0.414159i | −0.00741899 | − | 0.0228333i | ||||
\(330\) | 0.544577 | + | 1.49988i | 0.0299780 | + | 0.0825658i | ||||
\(331\) | 1.62738 | + | 5.00856i | 0.0894490 | + | 0.275296i | 0.985767 | − | 0.168116i | \(-0.0537682\pi\) |
−0.896318 | + | 0.443411i | \(0.853768\pi\) | |||||||
\(332\) | 7.97823 | − | 10.9811i | 0.437862 | − | 0.602666i | ||||
\(333\) | −3.17919 | + | 4.37578i | −0.174218 | + | 0.239791i | ||||
\(334\) | 17.1435 | − | 12.4555i | 0.938050 | − | 0.681533i | ||||
\(335\) | 15.5775 | + | 4.48004i | 0.851090 | + | 0.244771i | ||||
\(336\) | 3.86257 | 0.210721 | ||||||||
\(337\) | −9.27900 | − | 12.7715i | −0.505460 | − | 0.695705i | 0.477686 | − | 0.878531i | \(-0.341476\pi\) |
−0.983145 | + | 0.182825i | \(0.941476\pi\) | |||||||
\(338\) | −22.0061 | − | 7.15020i | −1.19697 | − | 0.388920i | ||||
\(339\) | −2.78064 | − | 8.55793i | −0.151024 | − | 0.464803i | ||||
\(340\) | 5.89417 | + | 1.69514i | 0.319656 | + | 0.0919321i | ||||
\(341\) | 3.90281 | − | 0.744720i | 0.211349 | − | 0.0403289i | ||||
\(342\) | 5.09513i | 0.275513i | ||||||||
\(343\) | −3.37770 | + | 1.09748i | −0.182379 | + | 0.0592584i | ||||
\(344\) | −0.642571 | + | 1.97763i | −0.0346451 | + | 0.106627i | ||||
\(345\) | 4.49885 | + | 12.3908i | 0.242210 | + | 0.667098i | ||||
\(346\) | 5.34692 | 0.287452 | ||||||||
\(347\) | − | 7.51102i | − | 0.403212i | −0.979467 | − | 0.201606i | \(-0.935384\pi\) | ||
0.979467 | − | 0.201606i | \(-0.0646161\pi\) | |||||||
\(348\) | 0.811022 | + | 1.11628i | 0.0434754 | + | 0.0598387i | ||||
\(349\) | 5.76568 | + | 4.18901i | 0.308630 | + | 0.224233i | 0.731308 | − | 0.682047i | \(-0.238910\pi\) |
−0.422679 | + | 0.906280i | \(0.638910\pi\) | |||||||
\(350\) | 7.20655 | + | 17.9179i | 0.385207 | + | 0.957754i | ||||
\(351\) | 1.85767 | + | 5.71731i | 0.0991549 | + | 0.305167i | ||||
\(352\) | 0.419451 | + | 0.577324i | 0.0223568 | + | 0.0307715i | ||||
\(353\) | 10.9085 | − | 3.54437i | 0.580599 | − | 0.188648i | −0.00396998 | − | 0.999992i | \(-0.501264\pi\) |
0.584569 | + | 0.811344i | \(0.301264\pi\) | |||||||
\(354\) | −1.63348 | + | 5.02734i | −0.0868186 | + | 0.267200i | ||||
\(355\) | 11.3099 | − | 8.82194i | 0.600266 | − | 0.468220i | ||||
\(356\) | −2.90031 | + | 8.92623i | −0.153716 | + | 0.473089i | ||||
\(357\) | −10.0758 | − | 3.27381i | −0.533265 | − | 0.173268i | ||||
\(358\) | −6.07818 | + | 8.36589i | −0.321242 | + | 0.442151i | ||||
\(359\) | −1.42767 | + | 4.39392i | −0.0753495 | + | 0.231902i | −0.981637 | − | 0.190761i | \(-0.938905\pi\) |
0.906287 | + | 0.422663i | \(0.138905\pi\) | |||||||
\(360\) | 0.0762803 | + | 2.23477i | 0.00402032 | + | 0.117783i | ||||
\(361\) | −5.63101 | + | 4.09117i | −0.296369 | + | 0.215325i | ||||
\(362\) | 12.1635 | − | 3.95214i | 0.639297 | − | 0.207720i | ||||
\(363\) | −6.16631 | + | 8.48720i | −0.323647 | + | 0.445463i | ||||
\(364\) | 18.7854 | + | 13.6484i | 0.984621 | + | 0.715369i | ||||
\(365\) | 6.41743 | − | 2.33004i | 0.335904 | − | 0.121960i | ||||
\(366\) | 3.71828 | 0.194358 | ||||||||
\(367\) | 12.4724i | 0.651052i | 0.945533 | + | 0.325526i | \(0.105541\pi\) | ||||
−0.945533 | + | 0.325526i | \(0.894459\pi\) | |||||||
\(368\) | 3.46516 | + | 4.76938i | 0.180634 | + | 0.248621i | ||||
\(369\) | 3.08526 | − | 9.49545i | 0.160612 | − | 0.494313i | ||||
\(370\) | −12.0873 | + | 0.412581i | −0.628389 | + | 0.0214491i | ||||
\(371\) | 36.7359 | 1.90723 | ||||||||
\(372\) | 5.52390 | + | 0.697525i | 0.286401 | + | 0.0361650i | ||||
\(373\) | − | 11.8584i | − | 0.614006i | −0.951708 | − | 0.307003i | \(-0.900674\pi\) | ||
0.951708 | − | 0.307003i | \(-0.0993262\pi\) | |||||||
\(374\) | −0.604838 | − | 1.86150i | −0.0312754 | − | 0.0962558i | ||||
\(375\) | −10.2244 | + | 4.52335i | −0.527988 | + | 0.233585i | ||||
\(376\) | 0.0912098 | − | 0.0662678i | 0.00470378 | − | 0.00341750i | ||||
\(377\) | 8.29468i | 0.427198i | ||||||||
\(378\) | − | 3.86257i | − | 0.198669i | ||||||
\(379\) | −1.83554 | + | 1.33359i | −0.0942851 | + | 0.0685022i | −0.633929 | − | 0.773391i | \(-0.718559\pi\) |
0.539644 | + | 0.841893i | \(0.318559\pi\) | |||||||
\(380\) | −8.98336 | + | 7.00720i | −0.460837 | + | 0.359462i | ||||
\(381\) | −0.308637 | − | 0.224238i | −0.0158119 | − | 0.0114880i | ||||
\(382\) | −22.5681 | + | 7.33284i | −1.15469 | + | 0.375181i | ||||
\(383\) | 15.2998 | + | 21.0584i | 0.781783 | + | 1.07603i | 0.995083 | + | 0.0990450i | \(0.0315788\pi\) |
−0.213300 | + | 0.976987i | \(0.568421\pi\) | |||||||
\(384\) | 0.309017 | + | 0.951057i | 0.0157695 | + | 0.0485334i | ||||
\(385\) | 3.45057 | − | 5.10702i | 0.175858 | − | 0.260278i | ||||
\(386\) | 22.0172 | + | 15.9964i | 1.12064 | + | 0.814195i | ||||
\(387\) | 1.97763 | + | 0.642571i | 0.100529 | + | 0.0326637i | ||||
\(388\) | −16.8009 | − | 5.45894i | −0.852935 | − | 0.277135i | ||||
\(389\) | −13.4033 | − | 9.73809i | −0.679576 | − | 0.493741i | 0.193641 | − | 0.981072i | \(-0.437970\pi\) |
−0.873217 | + | 0.487332i | \(0.837970\pi\) | |||||||
\(390\) | −7.52554 | + | 11.1382i | −0.381071 | + | 0.564003i | ||||
\(391\) | −4.99667 | − | 15.3782i | −0.252693 | − | 0.777708i | ||||
\(392\) | −4.65495 | − | 6.40699i | −0.235110 | − | 0.323602i | ||||
\(393\) | −9.60196 | + | 3.11986i | −0.484355 | + | 0.157376i | ||||
\(394\) | 2.82440 | + | 2.05205i | 0.142291 | + | 0.103381i | ||||
\(395\) | 18.7567 | − | 14.6306i | 0.943753 | − | 0.736146i | ||||
\(396\) | 0.577324 | − | 0.419451i | 0.0290116 | − | 0.0210782i | ||||
\(397\) | − | 30.2940i | − | 1.52041i | −0.649682 | − | 0.760206i | \(-0.725098\pi\) | ||
0.649682 | − | 0.760206i | \(-0.274902\pi\) | |||||||
\(398\) | 18.0167i | 0.903096i | ||||||||
\(399\) | 15.9217 | − | 11.5678i | 0.797082 | − | 0.579114i | ||||
\(400\) | −3.83527 | + | 3.20791i | −0.191764 | + | 0.160395i | ||||
\(401\) | 9.27979 | + | 28.5603i | 0.463411 | + | 1.42623i | 0.860970 | + | 0.508655i | \(0.169857\pi\) |
−0.397560 | + | 0.917576i | \(0.630143\pi\) | |||||||
\(402\) | − | 7.24886i | − | 0.361540i | ||||||
\(403\) | 24.4004 | + | 22.9110i | 1.21547 | + | 1.14128i | ||||
\(404\) | 2.18864 | 0.108889 | ||||||||
\(405\) | 2.23477 | − | 0.0762803i | 0.111046 | − | 0.00379040i | ||||
\(406\) | 1.64692 | − | 5.06871i | 0.0817354 | − | 0.251556i | ||||
\(407\) | 2.26871 | + | 3.12261i | 0.112456 | + | 0.154782i | ||||
\(408\) | − | 2.74280i | − | 0.135789i | ||||||
\(409\) | −20.9703 | −1.03691 | −0.518457 | − | 0.855104i | \(-0.673493\pi\) | ||||
−0.518457 | + | 0.855104i | \(0.673493\pi\) | |||||||
\(410\) | 20.9848 | − | 7.61915i | 1.03636 | − | 0.376283i | ||||
\(411\) | 5.77756 | + | 4.19765i | 0.284986 | + | 0.207055i | ||||
\(412\) | −2.61133 | + | 3.59419i | −0.128651 | + | 0.177073i | ||||
\(413\) | 19.4185 | − | 6.30945i | 0.955521 | − | 0.310467i | ||||
\(414\) | 4.76938 | − | 3.46516i | 0.234402 | − | 0.170303i | ||||
\(415\) | −1.03538 | − | 30.3333i | −0.0508248 | − | 1.48900i | ||||
\(416\) | −1.85767 | + | 5.71731i | −0.0910796 | + | 0.280314i | ||||
\(417\) | 5.61708 | − | 7.73125i | 0.275070 | − | 0.378601i | ||||
\(418\) | 3.45799 | + | 1.12357i | 0.169136 | + | 0.0549555i | ||||
\(419\) | 6.16793 | − | 18.9829i | 0.301323 | − | 0.927378i | −0.679700 | − | 0.733490i | \(-0.737890\pi\) |
0.981024 | − | 0.193888i | \(-0.0621098\pi\) | |||||||
\(420\) | 6.81021 | − | 5.31210i | 0.332304 | − | 0.259204i | ||||
\(421\) | 4.81669 | − | 14.8243i | 0.234751 | − | 0.722490i | −0.762403 | − | 0.647102i | \(-0.775981\pi\) |
0.997154 | − | 0.0753877i | \(-0.0240194\pi\) | |||||||
\(422\) | 10.7848 | − | 3.50419i | 0.524996 | − | 0.170582i | ||||
\(423\) | −0.0662678 | − | 0.0912098i | −0.00322205 | − | 0.00443477i | ||||
\(424\) | 2.93898 | + | 9.04524i | 0.142729 | + | 0.439275i | ||||
\(425\) | 12.7235 | − | 5.11735i | 0.617179 | − | 0.248228i | ||||
\(426\) | −5.18958 | − | 3.77045i | −0.251436 | − | 0.182679i | ||||
\(427\) | −8.44185 | − | 11.6192i | −0.408530 | − | 0.562293i | ||||
\(428\) | 5.16434i | 0.249628i | ||||||||
\(429\) | 4.28990 | 0.207118 | ||||||||
\(430\) | 1.58685 | + | 4.37053i | 0.0765247 | + | 0.210766i | ||||
\(431\) | 4.93376 | − | 15.1846i | 0.237651 | − | 0.731415i | −0.759108 | − | 0.650965i | \(-0.774364\pi\) |
0.996759 | − | 0.0804495i | \(-0.0256356\pi\) | |||||||
\(432\) | 0.951057 | − | 0.309017i | 0.0457577 | − | 0.0148676i | ||||
\(433\) | 1.91905i | 0.0922238i | 0.998936 | + | 0.0461119i | \(0.0146831\pi\) | ||||
−0.998936 | + | 0.0461119i | \(0.985317\pi\) | |||||||
\(434\) | −10.3616 | − | 18.8452i | −0.497371 | − | 0.904598i | ||||
\(435\) | 2.96512 | + | 0.852759i | 0.142167 | + | 0.0408867i | ||||
\(436\) | −5.62723 | − | 17.3188i | −0.269495 | − | 0.829421i | ||||
\(437\) | 28.5671 | + | 9.28200i | 1.36655 | + | 0.444018i | ||||
\(438\) | −1.79467 | − | 2.47015i | −0.0857527 | − | 0.118028i | ||||
\(439\) | 26.0351 | 1.24259 | 0.621294 | − | 0.783578i | \(-0.286607\pi\) | ||||
0.621294 | + | 0.783578i | \(0.286607\pi\) | |||||||
\(440\) | 1.53352 | + | 0.441036i | 0.0731079 | + | 0.0210256i | ||||
\(441\) | −6.40699 | + | 4.65495i | −0.305095 | + | 0.221664i | ||||
\(442\) | 9.69167 | − | 13.3394i | 0.460986 | − | 0.634492i | ||||
\(443\) | −18.0638 | + | 24.8626i | −0.858236 | + | 1.18126i | 0.123752 | + | 0.992313i | \(0.460507\pi\) |
−0.981987 | + | 0.188947i | \(0.939493\pi\) | |||||||
\(444\) | 1.67140 | + | 5.14403i | 0.0793210 | + | 0.244125i | ||||
\(445\) | 7.16241 | + | 19.7268i | 0.339531 | + | 0.935140i | ||||
\(446\) | 7.21063 | + | 22.1920i | 0.341433 | + | 1.05082i | ||||
\(447\) | 5.43412 | + | 1.76565i | 0.257025 | + | 0.0835125i | ||||
\(448\) | 2.27036 | − | 3.12489i | 0.107265 | − | 0.147637i | ||||
\(449\) | 4.62753 | − | 14.2421i | 0.218387 | − | 0.672126i | −0.780509 | − | 0.625145i | \(-0.785040\pi\) |
0.998896 | − | 0.0469810i | \(-0.0149600\pi\) | |||||||
\(450\) | 3.20791 | + | 3.83527i | 0.151222 | + | 0.180796i | ||||
\(451\) | −5.76407 | − | 4.18784i | −0.271419 | − | 0.197198i | ||||
\(452\) | −8.55793 | − | 2.78064i | −0.402531 | − | 0.130790i | ||||
\(453\) | −4.19275 | + | 1.36231i | −0.196993 | + | 0.0640068i | ||||
\(454\) | −0.497601 | + | 0.361528i | −0.0233536 | + | 0.0169673i | ||||
\(455\) | 51.8913 | − | 1.77123i | 2.43270 | − | 0.0830364i | ||||
\(456\) | 4.12204 | + | 2.99484i | 0.193032 | + | 0.140246i | ||||
\(457\) | −16.6711 | + | 22.9458i | −0.779842 | + | 1.07336i | 0.215457 | + | 0.976513i | \(0.430876\pi\) |
−0.995299 | + | 0.0968473i | \(0.969124\pi\) | |||||||
\(458\) | −2.67055 | − | 3.67569i | −0.124786 | − | 0.171754i | ||||
\(459\) | −2.74280 | −0.128023 | ||||||||
\(460\) | 12.6687 | + | 3.64348i | 0.590682 | + | 0.169878i | ||||
\(461\) | 14.2500 | − | 10.3532i | 0.663688 | − | 0.482198i | −0.204218 | − | 0.978925i | \(-0.565465\pi\) |
0.867906 | + | 0.496728i | \(0.165465\pi\) | |||||||
\(462\) | −2.62147 | − | 0.851768i | −0.121962 | − | 0.0396278i | ||||
\(463\) | 20.9786 | − | 6.81636i | 0.974959 | − | 0.316783i | 0.222143 | − | 0.975014i | \(-0.428695\pi\) |
0.752816 | + | 0.658231i | \(0.228695\pi\) | |||||||
\(464\) | 1.37979 | 0.0640553 | ||||||||
\(465\) | 10.6986 | − | 6.36705i | 0.496137 | − | 0.295265i | ||||
\(466\) | 14.8381 | 0.687363 | ||||||||
\(467\) | −20.9006 | + | 6.79103i | −0.967166 | + | 0.314251i | −0.749671 | − | 0.661810i | \(-0.769788\pi\) |
−0.217494 | + | 0.976062i | \(0.569788\pi\) | |||||||
\(468\) | 5.71731 | + | 1.85767i | 0.264283 | + | 0.0858707i | ||||
\(469\) | −22.6519 | + | 16.4575i | −1.04597 | + | 0.759939i | ||||
\(470\) | 0.0696781 | − | 0.242277i | 0.00321401 | − | 0.0111754i | ||||
\(471\) | −19.4013 | −0.893965 | ||||||||
\(472\) | 3.10707 | + | 4.27651i | 0.143014 | + | 0.196842i | ||||
\(473\) | 0.872207 | − | 1.20049i | 0.0401041 | − | 0.0551986i | ||||
\(474\) | −8.60658 | − | 6.25305i | −0.395313 | − | 0.287212i | ||||
\(475\) | −6.20198 | + | 24.7092i | −0.284566 | + | 1.13373i | ||||
\(476\) | −8.57095 | + | 6.22716i | −0.392849 | + | 0.285421i | ||||
\(477\) | 9.04524 | − | 2.93898i | 0.414153 | − | 0.134566i | ||||
\(478\) | 6.02957 | + | 1.95913i | 0.275786 | + | 0.0896084i | ||||
\(479\) | 14.7026 | + | 10.6820i | 0.671777 | + | 0.488075i | 0.870620 | − | 0.491957i | \(-0.163718\pi\) |
−0.198843 | + | 0.980031i | \(0.563718\pi\) | |||||||
\(480\) | 1.85280 | + | 1.25185i | 0.0845684 | + | 0.0571389i | ||||
\(481\) | −10.0477 | + | 30.9235i | −0.458134 | + | 1.40999i | ||||
\(482\) | 11.2661 | − | 15.5065i | 0.513158 | − | 0.706301i | ||||
\(483\) | −21.6565 | − | 7.03661i | −0.985403 | − | 0.320177i | ||||
\(484\) | 3.24182 | + | 9.97730i | 0.147356 | + | 0.453514i | ||||
\(485\) | −37.1296 | + | 13.4810i | −1.68597 | + | 0.612142i | ||||
\(486\) | −0.309017 | − | 0.951057i | −0.0140173 | − | 0.0431408i | ||||
\(487\) | −20.7784 | + | 28.5990i | −0.941560 | + | 1.29595i | 0.0136165 | + | 0.999907i | \(0.495666\pi\) |
−0.955176 | + | 0.296038i | \(0.904334\pi\) | |||||||
\(488\) | 2.18555 | − | 3.00815i | 0.0989352 | − | 0.136173i | ||||
\(489\) | 6.46426 | − | 4.69656i | 0.292324 | − | 0.212386i | ||||
\(490\) | −17.0186 | − | 4.89450i | −0.768824 | − | 0.221111i | ||||
\(491\) | 2.14984 | 0.0970211 | 0.0485106 | − | 0.998823i | \(-0.484553\pi\) | ||||
0.0485106 | + | 0.998823i | \(0.484553\pi\) | |||||||
\(492\) | −5.86851 | − | 8.07731i | −0.264573 | − | 0.364153i | ||||
\(493\) | −3.59927 | − | 1.16947i | −0.162103 | − | 0.0526705i | ||||
\(494\) | 9.46504 | + | 29.1304i | 0.425852 | + | 1.31064i | ||||
\(495\) | 0.441036 | − | 1.53352i | 0.0198231 | − | 0.0689268i | ||||
\(496\) | 3.81118 | − | 4.05893i | 0.171127 | − | 0.182251i | ||||
\(497\) | 24.7771i | 1.11141i | ||||||||
\(498\) | −12.9090 | + | 4.19440i | −0.578468 | + | 0.187956i | ||||
\(499\) | −6.35220 | + | 19.5500i | −0.284363 | + | 0.875180i | 0.702225 | + | 0.711955i | \(0.252190\pi\) |
−0.986589 | + | 0.163226i | \(0.947810\pi\) | |||||||
\(500\) | −2.35032 | + | 10.9305i | −0.105109 | + | 0.488827i | ||||
\(501\) | −21.1905 | −0.946722 | ||||||||
\(502\) | 3.86292i | 0.172411i | ||||||||
\(503\) | 7.79542 | + | 10.7295i | 0.347580 | + | 0.478403i | 0.946636 | − | 0.322304i | \(-0.104457\pi\) |
−0.599056 | + | 0.800707i | \(0.704457\pi\) | |||||||
\(504\) | −3.12489 | − | 2.27036i | −0.139194 | − | 0.101130i | ||||
\(505\) | 3.85885 | − | 3.00998i | 0.171716 | − | 0.133942i | ||||
\(506\) | −1.30002 | − | 4.00104i | −0.0577928 | − | 0.177868i | ||||
\(507\) | 13.6005 | + | 18.7195i | 0.604019 | + | 0.831361i | ||||
\(508\) | −0.362824 | + | 0.117889i | −0.0160977 | + | 0.00523046i | ||||
\(509\) | −2.65424 | + | 8.16891i | −0.117647 | + | 0.362081i | −0.992490 | − | 0.122326i | \(-0.960965\pi\) |
0.874843 | + | 0.484407i | \(0.160965\pi\) | |||||||
\(510\) | −3.77211 | − | 4.83591i | −0.167032 | − | 0.214138i | ||||
\(511\) | −3.64439 | + | 11.2163i | −0.161219 | + | 0.496180i | ||||
\(512\) | 0.951057 | + | 0.309017i | 0.0420312 | + | 0.0136568i | ||||
\(513\) | 2.99484 | − | 4.12204i | 0.132225 | − | 0.181993i | ||||
\(514\) | 6.56065 | − | 20.1916i | 0.289378 | − | 0.890613i | ||||
\(515\) | 0.338888 | + | 9.92832i | 0.0149332 | + | 0.437494i | ||||
\(516\) | 1.68227 | − | 1.22224i | 0.0740579 | − | 0.0538062i | ||||
\(517\) | −0.0765160 | + | 0.0248616i | −0.00336517 | + | 0.00109341i | ||||
\(518\) | 12.2798 | − | 16.9018i | 0.539545 | − | 0.742620i | ||||
\(519\) | −4.32575 | − | 3.14284i | −0.189879 | − | 0.137955i | ||||
\(520\) | 4.58757 | + | 12.6351i | 0.201178 | + | 0.554088i | ||||
\(521\) | −15.1220 | −0.662508 | −0.331254 | − | 0.943542i | \(-0.607472\pi\) | ||||
−0.331254 | + | 0.943542i | \(0.607472\pi\) | |||||||
\(522\) | − | 1.37979i | − | 0.0603919i | ||||||
\(523\) | −15.2186 | − | 20.9467i | −0.665465 | − | 0.915934i | 0.334182 | − | 0.942509i | \(-0.391540\pi\) |
−0.999647 | + | 0.0265748i | \(0.991540\pi\) | |||||||
\(524\) | −3.11986 | + | 9.60196i | −0.136292 | + | 0.419463i | ||||
\(525\) | 4.70167 | − | 18.7318i | 0.205198 | − | 0.817524i | ||||
\(526\) | 26.3896 | 1.15064 | ||||||||
\(527\) | −13.3819 | + | 7.35772i | −0.582926 | + | 0.320507i | ||||
\(528\) | − | 0.713612i | − | 0.0310560i | ||||||
\(529\) | −3.63228 | − | 11.1790i | −0.157925 | − | 0.486044i | ||||
\(530\) | 17.6215 | + | 11.9060i | 0.765428 | + | 0.517164i | ||||
\(531\) | 4.27651 | − | 3.10707i | 0.185585 | − | 0.134835i | ||||
\(532\) | − | 19.6803i | − | 0.853249i | ||||||
\(533\) | − | 60.0198i | − | 2.59975i | ||||||
\(534\) | 7.59311 | − | 5.51672i | 0.328586 | − | 0.238732i | ||||
\(535\) | 7.10238 | + | 9.10539i | 0.307063 | + | 0.393660i | ||||
\(536\) | −5.86445 | − | 4.26077i | −0.253306 | − | 0.184037i | ||||
\(537\) | 9.83470 | − | 3.19549i | 0.424398 | − | 0.137895i | ||||
\(538\) | 6.43107 | + | 8.85161i | 0.277263 | + | 0.381620i | ||||
\(539\) | 1.74639 | + | 5.37483i | 0.0752222 | + | 0.231510i | ||||
\(540\) | 1.25185 | − | 1.85280i | 0.0538711 | − | 0.0797318i | ||||
\(541\) | −1.61203 | − | 1.17121i | −0.0693066 | − | 0.0503542i | 0.552592 | − | 0.833452i | \(-0.313639\pi\) |
−0.621899 | + | 0.783097i | \(0.713639\pi\) | |||||||
\(542\) | 28.9831 | + | 9.41718i | 1.24493 | + | 0.404502i | ||||
\(543\) | −12.1635 | − | 3.95214i | −0.521984 | − | 0.169603i | ||||
\(544\) | −2.21897 | − | 1.61218i | −0.0951377 | − | 0.0691216i | ||||
\(545\) | −33.7397 | − | 22.7963i | −1.44525 | − | 0.976487i | ||||
\(546\) | −7.17537 | − | 22.0835i | −0.307078 | − | 0.945088i | ||||
\(547\) | 14.9469 | + | 20.5726i | 0.639082 | + | 0.879621i | 0.998566 | − | 0.0535305i | \(-0.0170474\pi\) |
−0.359484 | + | 0.933151i | \(0.617047\pi\) | |||||||
\(548\) | 6.79193 | − | 2.20683i | 0.290137 | − | 0.0942712i | ||||
\(549\) | −3.00815 | − | 2.18555i | −0.128385 | − | 0.0932770i | ||||
\(550\) | 3.31035 | − | 1.33141i | 0.141154 | − | 0.0567717i | ||||
\(551\) | 5.68757 | − | 4.13226i | 0.242299 | − | 0.176040i | ||||
\(552\) | − | 5.89528i | − | 0.250920i | ||||||
\(553\) | 41.0913i | 1.74738i | ||||||||
\(554\) | 2.25344 | − | 1.63722i | 0.0957397 | − | 0.0695590i | ||||
\(555\) | 10.0213 | + | 6.77096i | 0.425382 | + | 0.287411i | ||||
\(556\) | −2.95307 | − | 9.08863i | −0.125238 | − | 0.385444i | ||||
\(557\) | 26.0597i | 1.10418i | 0.833784 | + | 0.552091i | \(0.186170\pi\) | ||||
−0.833784 | + | 0.552091i | \(0.813830\pi\) | |||||||
\(558\) | −4.05893 | − | 3.81118i | −0.171828 | − | 0.161340i | ||||
\(559\) | 12.5004 | 0.528711 | ||||||||
\(560\) | −0.294638 | − | 8.63195i | −0.0124507 | − | 0.364766i | ||||
\(561\) | −0.604838 | + | 1.86150i | −0.0255363 | + | 0.0785926i | ||||
\(562\) | 18.5213 | + | 25.4924i | 0.781275 | + | 1.07533i | ||||
\(563\) | 43.1490i | 1.81851i | 0.416237 | + | 0.909256i | \(0.363349\pi\) | ||||
−0.416237 | + | 0.909256i | \(0.636651\pi\) | |||||||
\(564\) | −0.112741 | −0.00474727 | ||||||||
\(565\) | −18.9129 | + | 6.86688i | −0.795671 | + | 0.288892i | ||||
\(566\) | −7.27714 | − | 5.28715i | −0.305881 | − | 0.222235i | ||||
\(567\) | −2.27036 | + | 3.12489i | −0.0953463 | + | 0.131233i | ||||
\(568\) | −6.10071 | + | 1.98224i | −0.255980 | + | 0.0831730i | ||||
\(569\) | −21.0839 | + | 15.3184i | −0.883884 | + | 0.642179i | −0.934276 | − | 0.356550i | \(-0.883953\pi\) |
0.0503920 | + | 0.998730i | \(0.483953\pi\) | |||||||
\(570\) | 11.3864 | − | 0.388658i | 0.476925 | − | 0.0162791i | ||||
\(571\) | 10.5842 | − | 32.5748i | 0.442935 | − | 1.36321i | −0.441797 | − | 0.897115i | \(-0.645659\pi\) |
0.884733 | − | 0.466099i | \(-0.154341\pi\) | |||||||
\(572\) | 2.52154 | − | 3.47060i | 0.105431 | − | 0.145113i | ||||
\(573\) | 22.5681 | + | 7.33284i | 0.942798 | + | 0.306334i | ||||
\(574\) | −11.9170 | + | 36.6769i | −0.497407 | + | 1.53086i | ||||
\(575\) | 27.3474 | − | 10.9991i | 1.14046 | − | 0.458692i | ||||
\(576\) | 0.309017 | − | 0.951057i | 0.0128757 | − | 0.0396274i | ||||
\(577\) | −21.9035 | + | 7.11689i | −0.911856 | + | 0.296280i | −0.727122 | − | 0.686508i | \(-0.759143\pi\) |
−0.184735 | + | 0.982788i | \(0.559143\pi\) | |||||||
\(578\) | −5.57046 | − | 7.66709i | −0.231701 | − | 0.318909i | ||||
\(579\) | −8.40980 | − | 25.8827i | −0.349499 | − | 1.07565i | ||||
\(580\) | 2.43275 | − | 1.89760i | 0.101015 | − | 0.0787934i | ||||
\(581\) | 42.4153 | + | 30.8165i | 1.75968 | + | 1.27848i | ||||
\(582\) | 10.3835 | + | 14.2917i | 0.430410 | + | 0.592409i | ||||
\(583\) | − | 6.78697i | − | 0.281087i | ||||||
\(584\) | −3.05328 | −0.126346 | ||||||||
\(585\) | 12.6351 | − | 4.58757i | 0.522399 | − | 0.189673i | ||||
\(586\) | 9.33786 | − | 28.7390i | 0.385743 | − | 1.18720i | ||||
\(587\) | −24.8981 | + | 8.08989i | −1.02766 | + | 0.333905i | −0.773863 | − | 0.633353i | \(-0.781678\pi\) |
−0.253792 | + | 0.967259i | \(0.581678\pi\) | |||||||
\(588\) | 7.91947i | 0.326593i | ||||||||
\(589\) | 3.55398 | − | 28.1450i | 0.146439 | − | 1.15969i | ||||
\(590\) | 11.3595 | + | 3.26696i | 0.467665 | + | 0.134499i | ||||
\(591\) | −1.07882 | − | 3.32028i | −0.0443769 | − | 0.136578i | ||||
\(592\) | 5.14403 | + | 1.67140i | 0.211418 | + | 0.0686940i | ||||
\(593\) | −16.3356 | − | 22.4840i | −0.670822 | − | 0.923307i | 0.328957 | − | 0.944345i | \(-0.393303\pi\) |
−0.999779 | + | 0.0210379i | \(0.993303\pi\) | |||||||
\(594\) | −0.713612 | −0.0292799 | ||||||||
\(595\) | −6.54762 | + | 22.7667i | −0.268426 | + | 0.933343i | ||||
\(596\) | 4.62254 | − | 3.35847i | 0.189347 | − | 0.137568i | ||||
\(597\) | 10.5900 | − | 14.5758i | 0.433418 | − | 0.596549i | ||||
\(598\) | 20.8309 | − | 28.6713i | 0.851839 | − | 1.17246i | ||||
\(599\) | 6.49635 | + | 19.9937i | 0.265434 | + | 0.816921i | 0.991593 | + | 0.129395i | \(0.0413035\pi\) |
−0.726159 | + | 0.687526i | \(0.758697\pi\) | |||||||
\(600\) | 4.98836 | − | 0.340937i | 0.203649 | − | 0.0139187i | ||||
\(601\) | −5.35768 | − | 16.4893i | −0.218544 | − | 0.672611i | −0.998883 | − | 0.0472533i | \(-0.984953\pi\) |
0.780338 | − | 0.625357i | \(-0.215047\pi\) | |||||||
\(602\) | −7.63874 | − | 2.48198i | −0.311332 | − | 0.101158i | ||||
\(603\) | −4.26077 | + | 5.86445i | −0.173512 | + | 0.238819i | ||||
\(604\) | −1.36231 | + | 4.19275i | −0.0554315 | + | 0.170601i | ||||
\(605\) | 19.4373 | + | 13.1329i | 0.790238 | + | 0.533927i | ||||
\(606\) | −1.77065 | − | 1.28645i | −0.0719275 | − | 0.0522584i | ||||
\(607\) | 10.5654 | + | 3.43290i | 0.428835 | + | 0.139337i | 0.515479 | − | 0.856902i | \(-0.327614\pi\) |
−0.0866434 | + | 0.996239i | \(0.527614\pi\) | |||||||
\(608\) | 4.84575 | − | 1.57448i | 0.196521 | − | 0.0638536i | ||||
\(609\) | −4.31170 | + | 3.13263i | −0.174719 | + | 0.126941i | ||||
\(610\) | −0.283631 | − | 8.30949i | −0.0114839 | − | 0.336441i | ||||
\(611\) | −0.548311 | − | 0.398371i | −0.0221823 | − | 0.0161164i | ||||
\(612\) | −1.61218 | + | 2.21897i | −0.0651684 | + | 0.0896967i | ||||
\(613\) | −0.922962 | − | 1.27035i | −0.0372781 | − | 0.0513089i | 0.789971 | − | 0.613144i | \(-0.210096\pi\) |
−0.827249 | + | 0.561835i | \(0.810096\pi\) | |||||||
\(614\) | −17.0797 | −0.689282 | ||||||||
\(615\) | −21.4555 | − | 6.17052i | −0.865167 | − | 0.248819i | ||||
\(616\) | −2.22996 | + | 1.62016i | −0.0898475 | + | 0.0652781i | ||||
\(617\) | 36.6149 | + | 11.8969i | 1.47406 | + | 0.478951i | 0.932332 | − | 0.361604i | \(-0.117771\pi\) |
0.541727 | + | 0.840555i | \(0.317771\pi\) | |||||||
\(618\) | 4.22523 | − | 1.37286i | 0.169964 | − | 0.0552245i | ||||
\(619\) | −25.9310 | −1.04225 | −0.521127 | − | 0.853479i | \(-0.674488\pi\) | ||||
−0.521127 | + | 0.853479i | \(0.674488\pi\) | |||||||
\(620\) | 1.13744 | − | 12.3978i | 0.0456807 | − | 0.497909i | ||||
\(621\) | −5.89528 | −0.236569 | ||||||||
\(622\) | 15.6139 | − | 5.07325i | 0.626059 | − | 0.203419i | ||||
\(623\) | −34.4782 | − | 11.2027i | −1.38134 | − | 0.448825i | ||||
\(624\) | 4.86343 | − | 3.53349i | 0.194693 | − | 0.141453i | ||||
\(625\) | 10.8885 | + | 22.5042i | 0.435542 | + | 0.900169i | ||||
\(626\) | −22.3353 | −0.892697 | ||||||||
\(627\) | −2.13715 | − | 2.94154i | −0.0853497 | − | 0.117474i | ||||
\(628\) | −11.4038 | + | 15.6960i | −0.455061 | + | 0.626338i | ||||
\(629\) | −12.0019 | − | 8.71988i | −0.478547 | − | 0.347684i | ||||
\(630\) | −8.63195 | + | 0.294638i | −0.343905 | + | 0.0117387i | ||||
\(631\) | 37.9871 | − | 27.5993i | 1.51224 | − | 1.09871i | 0.547073 | − | 0.837085i | \(-0.315742\pi\) |
0.965170 | − | 0.261624i | \(-0.0842582\pi\) | |||||||
\(632\) | −10.1176 | + | 3.28742i | −0.402458 | + | 0.130767i | ||||
\(633\) | −10.7848 | − | 3.50419i | −0.428657 | − | 0.139279i | ||||
\(634\) | −21.5659 | − | 15.6685i | −0.856490 | − | 0.622277i | ||||
\(635\) | −0.477576 | + | 0.706836i | −0.0189520 | + | 0.0280499i | ||||
\(636\) | 2.93898 | − | 9.04524i | 0.116538 | − | 0.358667i | ||||
\(637\) | −27.9834 | + | 38.5158i | −1.10874 | + | 1.52605i | ||||
\(638\) | −0.936446 | − | 0.304270i | −0.0370742 | − | 0.0120462i | ||||
\(639\) | 1.98224 | + | 6.10071i | 0.0784163 | + | 0.241341i | ||||
\(640\) | 2.10182 | − | 0.763128i | 0.0830816 | − | 0.0301653i | ||||
\(641\) | 2.01592 | + | 6.20437i | 0.0796241 | + | 0.245058i | 0.982943 | − | 0.183913i | \(-0.0588764\pi\) |
−0.903318 | + | 0.428971i | \(0.858876\pi\) | |||||||
\(642\) | 3.03552 | − | 4.17804i | 0.119802 | − | 0.164894i | ||||
\(643\) | −10.6226 | + | 14.6208i | −0.418916 | + | 0.576589i | −0.965365 | − | 0.260904i | \(-0.915979\pi\) |
0.546448 | + | 0.837493i | \(0.315979\pi\) | |||||||
\(644\) | −18.4221 | + | 13.3844i | −0.725932 | + | 0.527420i | ||||
\(645\) | 1.28514 | − | 4.46856i | 0.0506024 | − | 0.175949i | ||||
\(646\) | −13.9749 | −0.549836 | ||||||||
\(647\) | −22.1471 | − | 30.4828i | −0.870692 | − | 1.19840i | −0.978913 | − | 0.204277i | \(-0.934516\pi\) |
0.108221 | − | 0.994127i | \(-0.465484\pi\) | |||||||
\(648\) | −0.951057 | − | 0.309017i | −0.0373610 | − | 0.0121393i | ||||
\(649\) | −1.16567 | − | 3.58757i | −0.0457567 | − | 0.140824i | ||||
\(650\) | 25.4653 | + | 15.9682i | 0.998830 | + | 0.626325i | ||||
\(651\) | −2.69424 | + | 21.3365i | −0.105596 | + | 0.836242i | ||||
\(652\) | − | 7.99026i | − | 0.312923i | ||||||
\(653\) | −8.80334 | + | 2.86038i | −0.344501 | + | 0.111935i | −0.476157 | − | 0.879360i | \(-0.657971\pi\) |
0.131656 | + | 0.991295i | \(0.457971\pi\) | |||||||
\(654\) | −5.62723 | + | 17.3188i | −0.220042 | + | 0.677220i | ||||
\(655\) | 7.70461 | + | 21.2201i | 0.301044 | + | 0.829140i | ||||
\(656\) | −9.98411 | −0.389814 | ||||||||
\(657\) | 3.05328i | 0.119120i | ||||||||
\(658\) | 0.255964 | + | 0.352304i | 0.00997852 | + | 0.0137343i | ||||
\(659\) | 8.03410 | + | 5.83711i | 0.312964 | + | 0.227382i | 0.733167 | − | 0.680048i | \(-0.238041\pi\) |
−0.420203 | + | 0.907430i | \(0.638041\pi\) | |||||||
\(660\) | −0.981413 | − | 1.25819i | −0.0382014 | − | 0.0489749i | ||||
\(661\) | 11.5718 | + | 35.6144i | 0.450091 | + | 1.38524i | 0.876803 | + | 0.480850i | \(0.159672\pi\) |
−0.426712 | + | 0.904388i | \(0.640328\pi\) | |||||||
\(662\) | −3.09546 | − | 4.26054i | −0.120309 | − | 0.165591i | ||||
\(663\) | −15.6814 | + | 5.09521i | −0.609017 | + | 0.197882i | ||||
\(664\) | −4.19440 | + | 12.9090i | −0.162774 | + | 0.500968i | ||||
\(665\) | −27.0658 | − | 34.6989i | −1.04957 | − | 1.34556i | ||||
\(666\) | 1.67140 | − | 5.14403i | 0.0647653 | − | 0.199327i | ||||
\(667\) | −7.73615 | − | 2.51363i | −0.299545 | − | 0.0973280i | ||||
\(668\) | −12.4555 | + | 17.1435i | −0.481917 | + | 0.663301i | ||||
\(669\) | 7.21063 | − | 22.1920i | 0.278779 | − | 0.857994i | ||||
\(670\) | −16.1995 | + | 0.552945i | −0.625841 | + | 0.0213621i | ||||
\(671\) | −2.14665 | + | 1.55963i | −0.0828706 | + | 0.0602090i | ||||
\(672\) | −3.67353 | + | 1.19360i | −0.141709 | + | 0.0460441i | ||||
\(673\) | 22.7896 | − | 31.3672i | 0.878474 | − | 1.20912i | −0.0983671 | − | 0.995150i | \(-0.531362\pi\) |
0.976841 | − | 0.213966i | \(-0.0686381\pi\) | |||||||
\(674\) | 12.7715 | + | 9.27900i | 0.491938 | + | 0.357414i | ||||
\(675\) | −0.340937 | − | 4.98836i | −0.0131227 | − | 0.192002i | ||||
\(676\) | 23.1385 | 0.889944 | ||||||||
\(677\) | − | 31.8223i | − | 1.22303i | −0.791233 | − | 0.611514i | \(-0.790561\pi\) | ||
0.791233 | − | 0.611514i | \(-0.209439\pi\) | |||||||
\(678\) | 5.28909 | + | 7.27981i | 0.203126 | + | 0.279579i | ||||
\(679\) | 21.0855 | − | 64.8946i | 0.809189 | − | 2.49043i | ||||
\(680\) | −6.12952 | + | 0.209222i | −0.235056 | + | 0.00802328i | ||||
\(681\) | 0.615068 | 0.0235695 | ||||||||
\(682\) | −3.48166 | + | 1.91430i | −0.133320 | + | 0.0733025i | ||||
\(683\) | − | 24.9851i | − | 0.956027i | −0.878353 | − | 0.478013i | \(-0.841357\pi\) | ||
0.878353 | − | 0.478013i | \(-0.158643\pi\) | |||||||
\(684\) | −1.57448 | − | 4.84575i | −0.0602018 | − | 0.185282i | ||||
\(685\) | 8.94004 | − | 13.2317i | 0.341581 | − | 0.505557i | ||||
\(686\) | 2.87324 | − | 2.08753i | 0.109701 | − | 0.0797024i | ||||
\(687\) | 4.54341i | 0.173342i | ||||||||
\(688\) | − | 2.07940i | − | 0.0792765i | ||||||
\(689\) | 46.2548 | − | 33.6061i | 1.76217 | − | 1.28029i | ||||
\(690\) | −8.10763 | − | 10.3941i | −0.308652 | − | 0.395698i | ||||
\(691\) | −21.9846 | − | 15.9728i | −0.836334 | − | 0.607632i | 0.0850103 | − | 0.996380i | \(-0.472908\pi\) |
−0.921344 | + | 0.388748i | \(0.872908\pi\) | |||||||
\(692\) | −5.08522 | + | 1.65229i | −0.193311 | + | 0.0628106i | ||||
\(693\) | 1.62016 | + | 2.22996i | 0.0615447 | + | 0.0847091i | ||||
\(694\) | 2.32103 | + | 7.14340i | 0.0881052 | + | 0.271160i | ||||
\(695\) | −17.7060 | − | 11.9631i | −0.671627 | − | 0.453787i | ||||
\(696\) | −1.11628 | − | 0.811022i | −0.0423124 | − | 0.0307417i | ||||
\(697\) | 26.0441 | + | 8.46225i | 0.986492 | + | 0.320531i | ||||
\(698\) | −6.77796 | − | 2.20229i | −0.256550 | − | 0.0833580i | ||||
\(699\) | −12.0043 | − | 8.72164i | −0.454044 | − | 0.329883i | ||||
\(700\) | −12.3908 | − | 14.8140i | −0.468328 | − | 0.559917i | ||||
\(701\) | 14.1504 | + | 43.5505i | 0.534453 | + | 1.64488i | 0.744828 | + | 0.667257i | \(0.232532\pi\) |
−0.210374 | + | 0.977621i | \(0.567468\pi\) | |||||||
\(702\) | −3.53349 | − | 4.86343i | −0.133363 | − | 0.183558i | ||||
\(703\) | 26.2095 | − | 8.51598i | 0.988510 | − | 0.321186i | ||||
\(704\) | −0.577324 | − | 0.419451i | −0.0217587 | − | 0.0158086i | ||||
\(705\) | −0.198778 | + | 0.155051i | −0.00748640 | + | 0.00583954i | ||||
\(706\) | −9.27929 | + | 6.74180i | −0.349231 | + | 0.253731i | ||||
\(707\) | 8.45377i | 0.317937i | ||||||||
\(708\) | − | 5.28606i | − | 0.198662i | ||||||
\(709\) | −27.5907 | + | 20.0458i | −1.03619 | + | 0.752837i | −0.969538 | − | 0.244940i | \(-0.921232\pi\) |
−0.0666524 | + | 0.997776i | \(0.521232\pi\) | |||||||
\(710\) | −8.03021 | + | 11.8851i | −0.301368 | + | 0.446040i | ||||
\(711\) | 3.28742 | + | 10.1176i | 0.123288 | + | 0.379441i | ||||
\(712\) | − | 9.38560i | − | 0.351740i | ||||||
\(713\) | −28.7626 | + | 15.8144i | −1.07717 | + | 0.592255i | ||||
\(714\) | 10.5943 | 0.396481 | ||||||||
\(715\) | −0.327235 | − | 9.58693i | −0.0122379 | − | 0.358531i | ||||
\(716\) | 3.19549 | − | 9.83470i | 0.119421 | − | 0.367540i | ||||
\(717\) | −3.72648 | − | 5.12906i | −0.139168 | − | 0.191548i | ||||
\(718\) | − | 4.62004i | − | 0.172418i | ||||||
\(719\) | −2.32233 | −0.0866085 | −0.0433042 | − | 0.999062i | \(-0.513788\pi\) | ||||
−0.0433042 | + | 0.999062i | \(0.513788\pi\) | |||||||
\(720\) | −0.763128 | − | 2.10182i | −0.0284401 | − | 0.0783301i | ||||
\(721\) | −13.8828 | − | 10.0865i | −0.517024 | − | 0.375640i | ||||
\(722\) | 4.09117 | − | 5.63101i | 0.152258 | − | 0.209564i | ||||
\(723\) | −18.2290 | + | 5.92295i | −0.677942 | + | 0.220277i | ||||
\(724\) | −10.3468 | + | 7.51743i | −0.384538 | + | 0.279383i | ||||
\(725\) | 1.67954 | − | 6.69141i | 0.0623765 | − | 0.248513i | ||||
\(726\) | 3.24182 | − | 9.97730i | 0.120315 | − | 0.370292i | ||||
\(727\) | 2.21486 | − | 3.04850i | 0.0821448 | − | 0.113063i | −0.765967 | − | 0.642880i | \(-0.777739\pi\) |
0.848112 | + | 0.529817i | \(0.177739\pi\) | |||||||
\(728\) | −22.0835 | − | 7.17537i | −0.818470 | − | 0.265937i | ||||
\(729\) | −0.309017 | + | 0.951057i | −0.0114451 | + | 0.0352243i | ||||
\(730\) | −5.38332 | + | 4.19910i | −0.199246 | + | 0.155415i | ||||
\(731\) | −1.76245 | + | 5.42425i | −0.0651864 | + | 0.200623i | ||||
\(732\) | −3.53629 | + | 1.14901i | −0.130705 | + | 0.0424687i | ||||
\(733\) | −17.0998 | − | 23.5358i | −0.631594 | − | 0.869314i | 0.366539 | − | 0.930403i | \(-0.380543\pi\) |
−0.998132 | + | 0.0610886i | \(0.980543\pi\) | |||||||
\(734\) | −3.85417 | − | 11.8619i | −0.142260 | − | 0.437832i | ||||
\(735\) | 10.8914 | + | 13.9630i | 0.401737 | + | 0.515034i | ||||
\(736\) | −4.76938 | − | 3.46516i | −0.175802 | − | 0.127727i | ||||
\(737\) | 3.04054 | + | 4.18494i | 0.112000 | + | 0.154154i | ||||
\(738\) | 9.98411i | 0.367520i | ||||||||
\(739\) | 32.7851 | 1.20602 | 0.603010 | − | 0.797734i | \(-0.293968\pi\) | ||||
0.603010 | + | 0.797734i | \(0.293968\pi\) | |||||||
\(740\) | 11.3682 | − | 4.12757i | 0.417904 | − | 0.151733i | ||||
\(741\) | 9.46504 | − | 29.1304i | 0.347707 | − | 1.07013i | ||||
\(742\) | −34.9379 | + | 11.3520i | −1.28261 | + | 0.416745i | ||||
\(743\) | 20.1748i | 0.740141i | 0.929004 | + | 0.370071i | \(0.120667\pi\) | ||||
−0.929004 | + | 0.370071i | \(0.879333\pi\) | |||||||
\(744\) | −5.46909 | + | 1.04359i | −0.200506 | + | 0.0382600i | ||||
\(745\) | 3.53131 | − | 12.2787i | 0.129377 | − | 0.449856i | ||||
\(746\) | 3.66446 | + | 11.2780i | 0.134165 | + | 0.412918i | ||||
\(747\) | 12.9090 | + | 4.19440i | 0.472317 | + | 0.153465i | ||||
\(748\) | 1.15047 | + | 1.58349i | 0.0420653 | + | 0.0578980i | ||||
\(749\) | −19.9476 | −0.728871 | ||||||||
\(750\) | 8.32624 | − | 7.46149i | 0.304031 | − | 0.272455i | ||||
\(751\) | 23.5919 | − | 17.1405i | 0.860881 | − | 0.625467i | −0.0672434 | − | 0.997737i | \(-0.521420\pi\) |
0.928125 | + | 0.372270i | \(0.121420\pi\) | |||||||
\(752\) | −0.0662678 | + | 0.0912098i | −0.00241654 | + | 0.00332608i | ||||
\(753\) | 2.27057 | − | 3.12517i | 0.0827442 | − | 0.113888i | ||||
\(754\) | −2.56320 | − | 7.88871i | −0.0933461 | − | 0.287290i | ||||
\(755\) | 3.36426 | + | 9.26590i | 0.122438 | + | 0.337221i | ||||
\(756\) | 1.19360 | + | 3.67353i | 0.0434108 | + | 0.133605i | ||||
\(757\) | −48.0509 | − | 15.6127i | −1.74644 | − | 0.567452i | −0.750782 | − | 0.660550i | \(-0.770323\pi\) |
−0.995657 | + | 0.0930976i | \(0.970323\pi\) | |||||||
\(758\) | 1.33359 | − | 1.83554i | 0.0484383 | − | 0.0666697i | ||||
\(759\) | −1.30002 | + | 4.00104i | −0.0471876 | + | 0.145229i | ||||
\(760\) | 6.37834 | − | 9.44025i | 0.231367 | − | 0.342434i | ||||
\(761\) | 16.0118 | + | 11.6333i | 0.580428 | + | 0.421706i | 0.838878 | − | 0.544319i | \(-0.183212\pi\) |
−0.258450 | + | 0.966025i | \(0.583212\pi\) | |||||||
\(762\) | 0.362824 | + | 0.117889i | 0.0131437 | + | 0.00427066i | ||||
\(763\) | 66.8952 | − | 21.7356i | 2.42177 | − | 0.786881i | ||||
\(764\) | 19.1976 | − | 13.9479i | 0.694545 | − | 0.504617i | ||||
\(765\) | 0.209222 | + | 6.12952i | 0.00756442 | + | 0.221613i | ||||
\(766\) | −21.0584 | − | 15.2998i | −0.760869 | − | 0.552804i | ||||
\(767\) | 18.6782 | − | 25.7084i | 0.674432 | − | 0.928277i | ||||
\(768\) | −0.587785 | − | 0.809017i | −0.0212099 | − | 0.0291929i | ||||
\(769\) | −17.0785 | −0.615865 | −0.307933 | − | 0.951408i | \(-0.599637\pi\) | ||||
−0.307933 | + | 0.951408i | \(0.599637\pi\) | |||||||
\(770\) | −1.70354 | + | 5.92335i | −0.0613912 | + | 0.213463i | ||||
\(771\) | −17.1760 | + | 12.4791i | −0.618578 | + | 0.449424i | ||||
\(772\) | −25.8827 | − | 8.40980i | −0.931539 | − | 0.302675i | ||||
\(773\) | 31.2898 | − | 10.1667i | 1.12541 | − | 0.365669i | 0.313583 | − | 0.949561i | \(-0.398471\pi\) |
0.811832 | + | 0.583891i | \(0.198471\pi\) | |||||||
\(774\) | −2.07940 | −0.0747426 | ||||||||
\(775\) | −15.0450 | − | 23.4233i | −0.540431 | − | 0.841388i | ||||
\(776\) | 17.6655 | 0.634154 | ||||||||
\(777\) | −19.8692 | + | 6.45590i | −0.712804 | + | 0.231604i | ||||
\(778\) | 15.7566 | + | 5.11962i | 0.564900 | + | 0.183547i | ||||
\(779\) | −41.1549 | + | 29.9008i | −1.47453 | + | 1.07131i | ||||
\(780\) | 3.71533 | − | 12.9186i | 0.133030 | − | 0.462558i | ||||
\(781\) | 4.57759 | 0.163799 | ||||||||
\(782\) | 9.50424 | + | 13.0815i | 0.339871 | + | 0.467792i | ||||
\(783\) | −0.811022 | + | 1.11628i | −0.0289836 | + | 0.0398925i | ||||
\(784\) | 6.40699 | + | 4.65495i | 0.228821 | + | 0.166248i | ||||
\(785\) | 1.47994 | + | 43.3574i | 0.0528212 | + | 1.54749i | ||||
\(786\) | 8.16791 | − | 5.93433i | 0.291340 | − | 0.211671i | ||||
\(787\) | 37.7691 | − | 12.2719i | 1.34632 | − | 0.437447i | 0.454870 | − | 0.890558i | \(-0.349686\pi\) |
0.891454 | + | 0.453111i | \(0.149686\pi\) | |||||||
\(788\) | −3.32028 | − | 1.07882i | −0.118280 | − | 0.0384315i | ||||
\(789\) | −21.3497 | − | 15.5114i | −0.760068 | − | 0.552222i | ||||
\(790\) | −13.3176 | + | 19.7107i | −0.473818 | + | 0.701275i | ||||
\(791\) | 10.7404 | − | 33.0556i | 0.381886 | − | 1.17532i | ||||
\(792\) | −0.419451 | + | 0.577324i | −0.0149045 | + | 0.0205143i | ||||
\(793\) | −21.2586 | − | 6.90732i | −0.754913 | − | 0.245286i | ||||
\(794\) | 9.36136 | + | 28.8113i | 0.332222 | + | 1.02247i | ||||
\(795\) | −7.25790 | − | 19.9898i | −0.257411 | − | 0.708965i | ||||
\(796\) | −5.56747 | − | 17.1349i | −0.197334 | − | 0.607331i | ||||
\(797\) | 26.6547 | − | 36.6871i | 0.944159 | − | 1.29952i | −0.00991482 | − | 0.999951i | \(-0.503156\pi\) |
0.954074 | − | 0.299572i | \(-0.0968440\pi\) | |||||||
\(798\) | −11.5678 | + | 15.9217i | −0.409495 | + | 0.563622i | ||||
\(799\) | 0.250170 | − | 0.181759i | 0.00885039 | − | 0.00643018i | ||||
\(800\) | 2.65626 | − | 4.23607i | 0.0939130 | − | 0.149768i | ||||
\(801\) | −9.38560 | −0.331624 | ||||||||
\(802\) | −17.6512 | − | 24.2948i | −0.623286 | − | 0.857879i | ||||
\(803\) | 2.07221 | + | 0.673303i | 0.0731269 | + | 0.0237604i | ||||
\(804\) | 2.24002 | + | 6.89407i | 0.0789994 | + | 0.243135i | ||||
\(805\) | −14.0732 | + | 48.9339i | −0.496016 | + | 1.72469i | ||||
\(806\) | −30.2861 | − | 14.2495i | −1.06678 | − | 0.501918i | ||||
\(807\) | − | 10.9412i | − | 0.385148i | ||||||
\(808\) | −2.08152 | + | 0.676326i | −0.0732276 | + | 0.0237931i | ||||
\(809\) | −11.8523 | + | 36.4776i | −0.416705 | + | 1.28249i | 0.494012 | + | 0.869455i | \(0.335530\pi\) |
−0.910717 | + | 0.413031i | \(0.864470\pi\) | |||||||
\(810\) | −2.10182 | + | 0.763128i | −0.0738503 | + | 0.0268136i | ||||
\(811\) | −4.90658 | −0.172293 | −0.0861467 | − | 0.996282i | \(-0.527455\pi\) | ||||
−0.0861467 | + | 0.996282i | \(0.527455\pi\) | |||||||
\(812\) | 5.32955i | 0.187031i | ||||||||
\(813\) | −17.9125 | − | 24.6545i | −0.628220 | − | 0.864671i | ||||
\(814\) | −3.12261 | − | 2.26871i | −0.109447 | − | 0.0795181i | ||||
\(815\) | −10.9888 | − | 14.0878i | −0.384921 | − | 0.493476i | ||||
\(816\) | 0.847572 | + | 2.60856i | 0.0296710 | + | 0.0913178i | ||||
\(817\) | −6.22748 | − | 8.57139i | −0.217872 | − | 0.299875i | ||||
\(818\) | 19.9439 | − | 6.48018i | 0.697323 | − | 0.226574i | ||||
\(819\) | −7.17537 | + | 22.0835i | −0.250728 | + | 0.771661i | ||||
\(820\) | −17.6033 | + | 13.7309i | −0.614732 | + | 0.479503i | ||||
\(821\) | 7.13726 | − | 21.9662i | 0.249092 | − | 0.766626i | −0.745844 | − | 0.666120i | \(-0.767954\pi\) |
0.994936 | − | 0.100506i | \(-0.0320462\pi\) | |||||||
\(822\) | −6.79193 | − | 2.20683i | −0.236896 | − | 0.0769721i | ||||
\(823\) | 4.47823 | − | 6.16376i | 0.156101 | − | 0.214855i | −0.723802 | − | 0.690008i | \(-0.757607\pi\) |
0.879903 | + | 0.475153i | \(0.157607\pi\) | |||||||
\(824\) | 1.37286 | − | 4.22523i | 0.0478258 | − | 0.147193i | ||||
\(825\) | −3.46071 | − | 0.868636i | −0.120487 | − | 0.0302420i | ||||
\(826\) | −16.5183 | + | 12.0013i | −0.574747 | + | 0.417578i | ||||
\(827\) | −17.5795 | + | 5.71193i | −0.611299 | + | 0.198623i | −0.598273 | − | 0.801292i | \(-0.704146\pi\) |
−0.0130257 | + | 0.999915i | \(0.504146\pi\) | |||||||
\(828\) | −3.46516 | + | 4.76938i | −0.120423 | + | 0.165747i | ||||
\(829\) | −29.7950 | − | 21.6474i | −1.03482 | − | 0.751844i | −0.0655556 | − | 0.997849i | \(-0.520882\pi\) |
−0.969269 | + | 0.246005i | \(0.920882\pi\) | |||||||
\(830\) | 10.3582 | + | 28.5287i | 0.359539 | + | 0.990247i | ||||
\(831\) | −2.78541 | −0.0966248 | ||||||||
\(832\) | − | 6.01153i | − | 0.208412i | ||||||
\(833\) | −12.7676 | − | 17.5731i | −0.442371 | − | 0.608872i | ||||
\(834\) | −2.95307 | + | 9.08863i | −0.102257 | + | 0.314713i | ||||
\(835\) | 1.61642 | + | 47.3558i | 0.0559384 | + | 1.63882i | ||||
\(836\) | −3.63594 | −0.125752 | ||||||||
\(837\) | 1.04359 | + | 5.46909i | 0.0360718 | + | 0.189039i | ||||
\(838\) | 19.9599i | 0.689502i | ||||||||
\(839\) | 8.30417 | + | 25.5576i | 0.286692 | + | 0.882346i | 0.985886 | + | 0.167415i | \(0.0535420\pi\) |
−0.699195 | + | 0.714931i | \(0.746458\pi\) | |||||||
\(840\) | −4.83537 | + | 7.15658i | −0.166836 | + | 0.246925i | ||||
\(841\) | 21.9213 | − | 15.9267i | 0.755906 | − | 0.549198i | ||||
\(842\) | 15.5871i | 0.537169i | ||||||||
\(843\) | − | 31.5104i | − | 1.08527i | ||||||
\(844\) | −9.17410 | + | 6.66537i | −0.315786 | + | 0.229432i | ||||
\(845\) | 40.7962 | − | 31.8219i | 1.40343 | − | 1.09471i | ||||
\(846\) | 0.0912098 | + | 0.0662678i | 0.00313586 | + | 0.00227833i | ||||
\(847\) | −38.5381 | + | 12.5218i | −1.32418 | + | 0.430253i | ||||
\(848\) | −5.59026 | − | 7.69434i | −0.191970 | − | 0.264225i | ||||
\(849\) | 2.77962 | + | 8.55479i | 0.0953963 | + | 0.293600i | ||||
\(850\) | −10.5194 | + | 8.79866i | −0.360812 | + | 0.301792i | ||||
\(851\) | −25.7964 | − | 18.7422i | −0.884290 | − | 0.642474i | ||||
\(852\) | 6.10071 | + | 1.98224i | 0.209007 | + | 0.0679105i | ||||
\(853\) | −44.4268 | − | 14.4352i | −1.52115 | − | 0.494250i | −0.575045 | − | 0.818122i | \(-0.695015\pi\) |
−0.946101 | + | 0.323871i | \(0.895015\pi\) | |||||||
\(854\) | 11.6192 | + | 8.44185i | 0.397601 | + | 0.288874i | ||||
\(855\) | −9.44025 | − | 6.37834i | −0.322850 | − | 0.218135i | ||||
\(856\) | −1.59587 | − | 4.91158i | −0.0545457 | − | 0.167874i | ||||
\(857\) | 18.0583 | + | 24.8552i | 0.616861 | + | 0.849036i | 0.997120 | − | 0.0758439i | \(-0.0241651\pi\) |
−0.380259 | + | 0.924880i | \(0.624165\pi\) | |||||||
\(858\) | −4.07994 | + | 1.32565i | −0.139287 | + | 0.0452570i | ||||
\(859\) | 19.0663 | + | 13.8524i | 0.650532 | + | 0.472639i | 0.863453 | − | 0.504430i | \(-0.168297\pi\) |
−0.212920 | + | 0.977070i | \(0.568297\pi\) | |||||||
\(860\) | −2.85975 | − | 3.66625i | −0.0975167 | − | 0.125018i | ||||
\(861\) | 31.1992 | − | 22.6675i | 1.06327 | − | 0.772508i | ||||
\(862\) | 15.9660i | 0.543804i | ||||||||
\(863\) | 40.5447i | 1.38016i | 0.723734 | + | 0.690079i | \(0.242424\pi\) | ||||
−0.723734 | + | 0.690079i | \(0.757576\pi\) | |||||||
\(864\) | −0.809017 | + | 0.587785i | −0.0275233 | + | 0.0199969i | ||||
\(865\) | −6.69355 | + | 9.90678i | −0.227587 | + | 0.336841i | ||||
\(866\) | −0.593020 | − | 1.82513i | −0.0201516 | − | 0.0620204i | ||||
\(867\) | 9.47704i | 0.321857i | ||||||||
\(868\) | 15.6779 | + | 14.7209i | 0.532143 | + | 0.499661i | ||||
\(869\) | 7.59163 | 0.257528 | ||||||||
\(870\) | −3.08352 | + | 0.105251i | −0.104541 | + | 0.00356834i | ||||
\(871\) | −13.4660 | + | 41.4440i | −0.456277 | + | 1.40427i | ||||
\(872\) | 10.7036 | + | 14.7323i | 0.362470 | + | 0.498898i | ||||
\(873\) | − | 17.6655i | − | 0.597886i | ||||||
\(874\) | −30.0372 | −1.01602 | ||||||||
\(875\) | −42.2199 | − | 9.07827i | −1.42729 | − | 0.306902i | ||||
\(876\) | 2.47015 | + | 1.79467i | 0.0834587 | + | 0.0606363i | ||||
\(877\) | −10.2462 | + | 14.1027i | −0.345990 | + | 0.476214i | −0.946179 | − | 0.323644i | \(-0.895092\pi\) |
0.600189 | + | 0.799858i | \(0.295092\pi\) | |||||||
\(878\) | −24.7609 | + | 8.04529i | −0.835639 | + | 0.271515i | ||||
\(879\) | −24.4468 | + | 17.7617i | −0.824571 | + | 0.599086i | ||||
\(880\) | −1.59476 | + | 0.0544345i | −0.0537592 | + | 0.00183499i | ||||
\(881\) | 12.7866 | − | 39.3531i | 0.430791 | − | 1.32584i | −0.466548 | − | 0.884496i | \(-0.654503\pi\) |
0.897339 | − | 0.441342i | \(-0.145497\pi\) | |||||||
\(882\) | 4.65495 | − | 6.40699i | 0.156740 | − | 0.215734i | ||||
\(883\) | 6.53259 | + | 2.12257i | 0.219839 | + | 0.0714300i | 0.416866 | − | 0.908968i | \(-0.363129\pi\) |
−0.197027 | + | 0.980398i | \(0.563129\pi\) | |||||||
\(884\) | −5.09521 | + | 15.6814i | −0.171370 | + | 0.527424i | ||||
\(885\) | −7.26979 | − | 9.32000i | −0.244371 | − | 0.313288i | ||||
\(886\) | 9.49669 | − | 29.2278i | 0.319047 | − | 0.981927i | ||||
\(887\) | −1.15881 | + | 0.376519i | −0.0389089 | + | 0.0126423i | −0.328407 | − | 0.944536i | \(-0.606512\pi\) |
0.289498 | + | 0.957179i | \(0.406512\pi\) | |||||||
\(888\) | −3.17919 | − | 4.37578i | −0.106687 | − | 0.146841i | ||||
\(889\) | −0.455354 | − | 1.40143i | −0.0152721 | − | 0.0470026i | ||||
\(890\) | −12.9078 | − | 16.5480i | −0.432670 | − | 0.554690i | ||||
\(891\) | 0.577324 | + | 0.419451i | 0.0193411 | + | 0.0140521i | ||||
\(892\) | −13.7154 | − | 18.8777i | −0.459227 | − | 0.632071i | ||||
\(893\) | 0.574432i | 0.0192226i | ||||||||
\(894\) | −5.71377 | −0.191097 | ||||||||
\(895\) | −7.89136 | − | 21.7345i | −0.263779 | − | 0.726504i | ||||
\(896\) | −1.19360 | + | 3.67353i | −0.0398754 | + | 0.122724i | ||||
\(897\) | −33.7051 | + | 10.9515i | −1.12538 | + | 0.365659i | ||||
\(898\) | 14.9750i | 0.499723i | ||||||||
\(899\) | −0.962441 | + | 7.62184i | −0.0320992 | + | 0.254203i | ||||
\(900\) | −4.23607 | − | 2.65626i | −0.141202 | − | 0.0885421i | ||||
\(901\) | 8.06103 | + | 24.8093i | 0.268552 | + | 0.826517i | ||||
\(902\) | 6.77607 | + | 2.20168i | 0.225618 | + | 0.0733078i | ||||
\(903\) | 4.72100 | + | 6.49790i | 0.157105 | + | 0.216237i | ||||
\(904\) | 8.99834 | 0.299280 | ||||||||
\(905\) | −7.90429 | + | 27.4839i | −0.262747 | + | 0.913597i | ||||
\(906\) | 3.56657 | − | 2.59126i | 0.118491 | − | 0.0860889i | ||||
\(907\) | 29.3407 | − | 40.3841i | 0.974243 | − | 1.34093i | 0.0343696 | − | 0.999409i | \(-0.489058\pi\) |
0.939874 | − | 0.341522i | \(-0.110942\pi\) | |||||||
\(908\) | 0.361528 | − | 0.497601i | 0.0119977 | − | 0.0165135i | ||||
\(909\) | 0.676326 | + | 2.08152i | 0.0224323 | + | 0.0690396i | ||||
\(910\) | −48.8042 | + | 17.7198i | −1.61784 | + | 0.587406i | ||||
\(911\) | 3.40707 | + | 10.4859i | 0.112881 | + | 0.347413i | 0.991499 | − | 0.130113i | \(-0.0415339\pi\) |
−0.878618 | + | 0.477525i | \(0.841534\pi\) | |||||||
\(912\) | −4.84575 | − | 1.57448i | −0.160459 | − | 0.0521363i | ||||
\(913\) | 5.69336 | − | 7.83624i | 0.188423 | − | 0.259342i | ||||
\(914\) | 8.76453 | − | 26.9744i | 0.289905 | − | 0.892235i | ||||
\(915\) | −4.65473 | + | 6.88923i | −0.153881 | + | 0.227751i | ||||
\(916\) | 3.67569 | + | 2.67055i | 0.121448 | + | 0.0882374i | ||||
\(917\) | −37.0883 | − | 12.0507i | −1.22476 | − | 0.397949i | ||||
\(918\) | 2.60856 | − | 0.847572i | 0.0860953 | − | 0.0279741i | ||||
\(919\) | 38.4319 | − | 27.9224i | 1.26775 | − | 0.921075i | 0.268641 | − | 0.963240i | \(-0.413425\pi\) |
0.999111 | + | 0.0421649i | \(0.0134255\pi\) | |||||||
\(920\) | −13.1746 | + | 0.449693i | −0.434353 | + | 0.0148260i | ||||
\(921\) | 13.8178 | + | 10.0392i | 0.455312 | + | 0.330803i | ||||
\(922\) | −10.3532 | + | 14.2500i | −0.340965 | + | 0.469298i | ||||
\(923\) | 22.6662 | + | 31.1973i | 0.746066 | + | 1.02687i | ||||
\(924\) | 2.75638 | 0.0906782 | ||||||||
\(925\) | 14.3671 | − | 22.9119i | 0.472387 | − | 0.753337i | ||||
\(926\) | −17.8455 | + | 12.9655i | −0.586438 | + | 0.426073i | ||||
\(927\) | −4.22523 | − | 1.37286i | −0.138775 | − | 0.0450906i | ||||
\(928\) | −1.31226 | + | 0.426380i | −0.0430771 | + | 0.0139966i | ||||
\(929\) | 21.4705 | 0.704425 | 0.352212 | − | 0.935920i | \(-0.385429\pi\) | ||||
0.352212 | + | 0.935920i | \(0.385429\pi\) | |||||||
\(930\) | −8.20747 | + | 9.36149i | −0.269134 | + | 0.306975i | ||||
\(931\) | 40.3507 | 1.32244 | ||||||||
\(932\) | −14.1119 | + | 4.58524i | −0.462251 | + | 0.150194i | ||||
\(933\) | −15.6139 | − | 5.07325i | −0.511175 | − | 0.166091i | ||||
\(934\) | 17.7791 | − | 12.9173i | 0.581751 | − | 0.422667i | ||||
\(935\) | 4.20615 | + | 1.20968i | 0.137556 | + | 0.0395606i | ||||
\(936\) | −6.01153 | −0.196493 | ||||||||
\(937\) | −17.7704 | − | 24.4588i | −0.580533 | − | 0.799035i | 0.413221 | − | 0.910631i | \(-0.364404\pi\) |
−0.993754 | + | 0.111596i | \(0.964404\pi\) | |||||||
\(938\) | 16.4575 | − | 22.6519i | 0.537358 | − | 0.739609i | ||||
\(939\) | 18.0696 | + | 13.1283i | 0.589680 | + | 0.428427i | ||||
\(940\) | 0.00859995 | + | 0.251951i | 0.000280499 | + | 0.00821773i | ||||
\(941\) | 24.7143 | − | 17.9560i | 0.805662 | − | 0.585348i | −0.106907 | − | 0.994269i | \(-0.534095\pi\) |
0.912570 | + | 0.408921i | \(0.134095\pi\) | |||||||
\(942\) | 18.4517 | − | 5.99534i | 0.601190 | − | 0.195339i | ||||
\(943\) | 55.9783 | + | 18.1885i | 1.82290 | + | 0.592298i | ||||
\(944\) | −4.27651 | − | 3.10707i | −0.139189 | − | 0.101126i | ||||
\(945\) | 7.15658 | + | 4.83537i | 0.232803 | + | 0.157294i | ||||
\(946\) | −0.458546 | + | 1.41126i | −0.0149086 | + | 0.0458841i | ||||
\(947\) | 32.1233 | − | 44.2139i | 1.04387 | − | 1.43676i | 0.149858 | − | 0.988708i | \(-0.452118\pi\) |
0.894008 | − | 0.448051i | \(-0.147882\pi\) | |||||||
\(948\) | 10.1176 | + | 3.28742i | 0.328606 | + | 0.106770i | ||||
\(949\) | 5.67197 | + | 17.4565i | 0.184120 | + | 0.566663i | ||||
\(950\) | −1.73712 | − | 25.4163i | −0.0563595 | − | 0.824615i | ||||
\(951\) | 8.23743 | + | 25.3522i | 0.267117 | + | 0.822102i | ||||
\(952\) | 6.22716 | − | 8.57095i | 0.201823 | − | 0.277786i | ||||
\(953\) | −8.09252 | + | 11.1384i | −0.262142 | + | 0.360808i | −0.919717 | − | 0.392581i | \(-0.871582\pi\) |
0.657575 | + | 0.753389i | \(0.271582\pi\) | |||||||
\(954\) | −7.69434 | + | 5.59026i | −0.249113 | + | 0.180991i | ||||
\(955\) | 14.6657 | − | 50.9939i | 0.474570 | − | 1.65012i | ||||
\(956\) | −6.33987 | −0.205046 | ||||||||
\(957\) | 0.578755 | + | 0.796588i | 0.0187085 | + | 0.0257500i | ||||
\(958\) | −17.2839 | − | 5.61588i | −0.558417 | − | 0.181441i | ||||
\(959\) | 8.52405 | + | 26.2343i | 0.275256 | + | 0.847151i | ||||
\(960\) | −2.14896 | − | 0.618034i | −0.0693574 | − | 0.0199470i | ||||
\(961\) | 19.7627 | + | 23.8838i | 0.637508 | + | 0.770444i | ||||
\(962\) | − | 32.5149i | − | 1.04832i | ||||||
\(963\) | −4.91158 | + | 1.59587i | −0.158273 | + | 0.0514261i | ||||
\(964\) | −5.92295 | + | 18.2290i | −0.190765 | + | 0.587115i | ||||
\(965\) | −57.2003 | + | 20.7683i | −1.84134 | + | 0.668555i | ||||
\(966\) | 22.7709 | 0.732643 | ||||||||
\(967\) | 47.2655i | 1.51996i | 0.649949 | + | 0.759978i | \(0.274790\pi\) | ||||
−0.649949 | + | 0.759978i | \(0.725210\pi\) | |||||||
\(968\) | −6.16631 | − | 8.48720i | −0.198193 | − | 0.272789i | ||||
\(969\) | 11.3059 | + | 8.21425i | 0.363199 | + | 0.263880i | ||||
\(970\) | 31.1465 | − | 24.2949i | 1.00005 | − | 0.780062i | ||||
\(971\) | −11.4249 | − | 35.1623i | −0.366643 | − | 1.12841i | −0.948946 | − | 0.315439i | \(-0.897848\pi\) |
0.582303 | − | 0.812972i | \(-0.302152\pi\) | |||||||
\(972\) | 0.587785 | + | 0.809017i | 0.0188532 | + | 0.0259492i | ||||
\(973\) | 35.1055 | − | 11.4065i | 1.12543 | − | 0.365674i | ||||
\(974\) | 10.9239 | − | 33.6202i | 0.350023 | − | 1.07726i | ||||
\(975\) | −11.2160 | − | 27.8867i | −0.359198 | − | 0.893088i | ||||
\(976\) | −1.14901 | + | 3.53629i | −0.0367790 | + | 0.113194i | ||||
\(977\) | 37.3675 | + | 12.1414i | 1.19549 | + | 0.388439i | 0.838101 | − | 0.545515i | \(-0.183666\pi\) |
0.357392 | + | 0.933955i | \(0.383666\pi\) | |||||||
\(978\) | −4.69656 | + | 6.46426i | −0.150179 | + | 0.206704i | ||||
\(979\) | −2.06970 | + | 6.36987i | −0.0661477 | + | 0.203582i | ||||
\(980\) | 17.6982 | − | 0.604099i | 0.565347 | − | 0.0192972i | ||||
\(981\) | 14.7323 | − | 10.7036i | 0.470365 | − | 0.341740i | ||||
\(982\) | −2.04462 | + | 0.664339i | −0.0652466 | + | 0.0211999i | ||||
\(983\) | 17.2504 | − | 23.7431i | 0.550202 | − | 0.757289i | −0.439837 | − | 0.898078i | \(-0.644964\pi\) |
0.990040 | + | 0.140789i | \(0.0449639\pi\) | |||||||
\(984\) | 8.07731 | + | 5.86851i | 0.257495 | + | 0.187081i | ||||
\(985\) | −7.33776 | + | 2.66419i | −0.233800 | + | 0.0848882i | ||||
\(986\) | 3.78450 | 0.120523 | ||||||||
\(987\) | − | 0.435472i | − | 0.0138612i | ||||||
\(988\) | −18.0036 | − | 24.7798i | −0.572770 | − | 0.788351i | ||||
\(989\) | −3.78814 | + | 11.6587i | −0.120456 | + | 0.370725i | ||||
\(990\) | 0.0544345 | + | 1.59476i | 0.00173004 | + | 0.0506847i | ||||
\(991\) | 15.8626 | 0.503891 | 0.251946 | − | 0.967741i | \(-0.418930\pi\) | ||||
0.251946 | + | 0.967741i | \(0.418930\pi\) | |||||||
\(992\) | −2.37036 | + | 5.03799i | −0.0752591 | + | 0.159956i | ||||
\(993\) | 5.26632i | 0.167122i | ||||||||
\(994\) | −7.65656 | − | 23.5645i | −0.242851 | − | 0.747419i | ||||
\(995\) | −33.3814 | − | 22.5542i | −1.05826 | − | 0.715017i | ||||
\(996\) | 10.9811 | − | 7.97823i | 0.347949 | − | 0.252800i | ||||
\(997\) | 8.65572i | 0.274129i | 0.990562 | + | 0.137065i | \(0.0437668\pi\) | ||||
−0.990562 | + | 0.137065i | \(0.956233\pi\) | |||||||
\(998\) | − | 20.5561i | − | 0.650693i | ||||||
\(999\) | −4.37578 | + | 3.17919i | −0.138443 | + | 0.100585i |
(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 | 930.2.z.c.469.2 | yes | 32 | |
5.4 | even | 2 | inner | 930.2.z.c.469.7 | yes | 32 | |
31.8 | even | 5 | inner | 930.2.z.c.349.5 | yes | 32 | |
155.39 | even | 10 | inner | 930.2.z.c.349.4 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.z.c.349.4 | ✓ | 32 | 155.39 | even | 10 | inner | |
930.2.z.c.349.5 | yes | 32 | 31.8 | even | 5 | inner | |
930.2.z.c.469.2 | yes | 32 | 1.1 | even | 1 | trivial | |
930.2.z.c.469.7 | yes | 32 | 5.4 | even | 2 | inner |