Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(119,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.119");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.r (of order \(6\), degree \(2\), 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: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 119.10 | ||
Character | \(\chi\) | \(=\) | 930.119 |
Dual form | 930.2.r.b.719.10 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | −1.12093 | + | 1.32043i | −0.647167 | + | 0.762348i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −2.03226 | − | 0.932700i | −0.908853 | − | 0.417116i | ||||
\(6\) | −1.12093 | + | 1.32043i | −0.457616 | + | 0.539062i | ||||
\(7\) | 1.69016 | + | 0.975816i | 0.638822 | + | 0.368824i | 0.784160 | − | 0.620558i | \(-0.213094\pi\) |
−0.145339 | + | 0.989382i | \(0.546427\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −0.487050 | − | 2.96020i | −0.162350 | − | 0.986733i | ||||
\(10\) | −2.03226 | − | 0.932700i | −0.642656 | − | 0.294946i | ||||
\(11\) | −0.165181 | − | 0.286103i | −0.0498041 | − | 0.0862632i | 0.840049 | − | 0.542511i | \(-0.182526\pi\) |
−0.889853 | + | 0.456248i | \(0.849193\pi\) | |||||||
\(12\) | −1.12093 | + | 1.32043i | −0.323583 | + | 0.381174i | ||||
\(13\) | 2.28936 | + | 3.96529i | 0.634954 | + | 1.09977i | 0.986525 | + | 0.163612i | \(0.0523145\pi\) |
−0.351570 | + | 0.936161i | \(0.614352\pi\) | |||||||
\(14\) | 1.69016 | + | 0.975816i | 0.451715 | + | 0.260798i | ||||
\(15\) | 3.50957 | − | 1.63796i | 0.906167 | − | 0.422919i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 1.39586 | + | 0.805898i | 0.338545 | + | 0.195459i | 0.659628 | − | 0.751592i | \(-0.270714\pi\) |
−0.321084 | + | 0.947051i | \(0.604047\pi\) | |||||||
\(18\) | −0.487050 | − | 2.96020i | −0.114799 | − | 0.697726i | ||||
\(19\) | −3.00716 | + | 5.20856i | −0.689890 | + | 1.19492i | 0.281983 | + | 0.959419i | \(0.409008\pi\) |
−0.971873 | + | 0.235505i | \(0.924325\pi\) | |||||||
\(20\) | −2.03226 | − | 0.932700i | −0.454427 | − | 0.208558i | ||||
\(21\) | −3.18304 | + | 1.13792i | −0.694596 | + | 0.248314i | ||||
\(22\) | −0.165181 | − | 0.286103i | −0.0352168 | − | 0.0609973i | ||||
\(23\) | 3.57984i | 0.746448i | 0.927741 | + | 0.373224i | \(0.121748\pi\) | ||||
−0.927741 | + | 0.373224i | \(0.878252\pi\) | |||||||
\(24\) | −1.12093 | + | 1.32043i | −0.228808 | + | 0.269531i | ||||
\(25\) | 3.26014 | + | 3.79097i | 0.652029 | + | 0.758194i | ||||
\(26\) | 2.28936 | + | 3.96529i | 0.448981 | + | 0.777657i | ||||
\(27\) | 4.45467 | + | 2.67505i | 0.857302 | + | 0.514814i | ||||
\(28\) | 1.69016 | + | 0.975816i | 0.319411 | + | 0.184412i | ||||
\(29\) | −5.80181 | −1.07737 | −0.538684 | − | 0.842508i | \(-0.681078\pi\) | ||||
−0.538684 | + | 0.842508i | \(0.681078\pi\) | |||||||
\(30\) | 3.50957 | − | 1.63796i | 0.640757 | − | 0.299049i | ||||
\(31\) | 5.00448 | − | 2.44033i | 0.898830 | − | 0.438296i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0.562934 | + | 0.102590i | 0.0979942 | + | 0.0178586i | ||||
\(34\) | 1.39586 | + | 0.805898i | 0.239387 | + | 0.138210i | ||||
\(35\) | −2.52470 | − | 3.55952i | −0.426753 | − | 0.601669i | ||||
\(36\) | −0.487050 | − | 2.96020i | −0.0811751 | − | 0.493367i | ||||
\(37\) | −2.32112 | + | 4.02031i | −0.381591 | + | 0.660934i | −0.991290 | − | 0.131699i | \(-0.957957\pi\) |
0.609699 | + | 0.792633i | \(0.291290\pi\) | |||||||
\(38\) | −3.00716 | + | 5.20856i | −0.487826 | + | 0.844939i | ||||
\(39\) | −7.80208 | − | 1.42186i | −1.24933 | − | 0.227680i | ||||
\(40\) | −2.03226 | − | 0.932700i | −0.321328 | − | 0.147473i | ||||
\(41\) | −3.67894 | + | 2.12404i | −0.574554 | + | 0.331719i | −0.758966 | − | 0.651130i | \(-0.774295\pi\) |
0.184412 | + | 0.982849i | \(0.440962\pi\) | |||||||
\(42\) | −3.18304 | + | 1.13792i | −0.491154 | + | 0.175585i | ||||
\(43\) | −5.17982 | + | 8.97172i | −0.789916 | + | 1.36817i | 0.136102 | + | 0.990695i | \(0.456542\pi\) |
−0.926018 | + | 0.377479i | \(0.876791\pi\) | |||||||
\(44\) | −0.165181 | − | 0.286103i | −0.0249020 | − | 0.0431316i | ||||
\(45\) | −1.77117 | + | 6.47016i | −0.264030 | + | 0.964515i | ||||
\(46\) | 3.57984i | 0.527818i | ||||||||
\(47\) | 9.38539 | 1.36900 | 0.684500 | − | 0.729013i | \(-0.260021\pi\) | ||||
0.684500 | + | 0.729013i | \(0.260021\pi\) | |||||||
\(48\) | −1.12093 | + | 1.32043i | −0.161792 | + | 0.190587i | ||||
\(49\) | −1.59557 | − | 2.76360i | −0.227938 | − | 0.394800i | ||||
\(50\) | 3.26014 | + | 3.79097i | 0.461054 | + | 0.536124i | ||||
\(51\) | −2.62878 | + | 0.939773i | −0.368103 | + | 0.131595i | ||||
\(52\) | 2.28936 | + | 3.96529i | 0.317477 | + | 0.549887i | ||||
\(53\) | −3.84607 | + | 2.22053i | −0.528299 | + | 0.305013i | −0.740323 | − | 0.672251i | \(-0.765328\pi\) |
0.212025 | + | 0.977264i | \(0.431994\pi\) | |||||||
\(54\) | 4.45467 | + | 2.67505i | 0.606204 | + | 0.364028i | ||||
\(55\) | 0.0688434 | + | 0.735499i | 0.00928285 | + | 0.0991747i | ||||
\(56\) | 1.69016 | + | 0.975816i | 0.225858 | + | 0.130399i | ||||
\(57\) | −3.50671 | − | 9.80914i | −0.464475 | − | 1.29925i | ||||
\(58\) | −5.80181 | −0.761815 | ||||||||
\(59\) | 1.42124 | + | 0.820553i | 0.185030 | + | 0.106827i | 0.589654 | − | 0.807656i | \(-0.299264\pi\) |
−0.404624 | + | 0.914483i | \(0.632598\pi\) | |||||||
\(60\) | 3.50957 | − | 1.63796i | 0.453084 | − | 0.211460i | ||||
\(61\) | 2.17067i | 0.277926i | 0.990298 | + | 0.138963i | \(0.0443768\pi\) | ||||
−0.990298 | + | 0.138963i | \(0.955623\pi\) | |||||||
\(62\) | 5.00448 | − | 2.44033i | 0.635569 | − | 0.309922i | ||||
\(63\) | 2.06542 | − | 5.47849i | 0.260218 | − | 0.690225i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.954147 | − | 10.1938i | −0.118347 | − | 1.26438i | ||||
\(66\) | 0.562934 | + | 0.102590i | 0.0692924 | + | 0.0126280i | ||||
\(67\) | 5.38440 | − | 3.10868i | 0.657809 | − | 0.379786i | −0.133633 | − | 0.991031i | \(-0.542664\pi\) |
0.791442 | + | 0.611245i | \(0.209331\pi\) | |||||||
\(68\) | 1.39586 | + | 0.805898i | 0.169272 | + | 0.0977295i | ||||
\(69\) | −4.72691 | − | 4.01273i | −0.569053 | − | 0.483076i | ||||
\(70\) | −2.52470 | − | 3.55952i | −0.301760 | − | 0.425445i | ||||
\(71\) | 0.0180409 | − | 0.0104159i | 0.00214106 | − | 0.00123614i | −0.498929 | − | 0.866643i | \(-0.666273\pi\) |
0.501070 | + | 0.865407i | \(0.332940\pi\) | |||||||
\(72\) | −0.487050 | − | 2.96020i | −0.0573994 | − | 0.348863i | ||||
\(73\) | 1.98018 | + | 3.42977i | 0.231762 | + | 0.401424i | 0.958327 | − | 0.285674i | \(-0.0922175\pi\) |
−0.726564 | + | 0.687098i | \(0.758884\pi\) | |||||||
\(74\) | −2.32112 | + | 4.02031i | −0.269825 | + | 0.467351i | ||||
\(75\) | −8.66008 | + | 0.0553790i | −0.999980 | + | 0.00639461i | ||||
\(76\) | −3.00716 | + | 5.20856i | −0.344945 | + | 0.597462i | ||||
\(77\) | − | 0.644747i | − | 0.0734757i | ||||||
\(78\) | −7.80208 | − | 1.42186i | −0.883411 | − | 0.160994i | ||||
\(79\) | −2.32185 | − | 1.34052i | −0.261228 | − | 0.150820i | 0.363667 | − | 0.931529i | \(-0.381525\pi\) |
−0.624895 | + | 0.780709i | \(0.714858\pi\) | |||||||
\(80\) | −2.03226 | − | 0.932700i | −0.227213 | − | 0.104279i | ||||
\(81\) | −8.52556 | + | 2.88353i | −0.947285 | + | 0.320393i | ||||
\(82\) | −3.67894 | + | 2.12404i | −0.406271 | + | 0.234561i | ||||
\(83\) | 12.7695 | − | 7.37245i | 1.40163 | − | 0.809231i | 0.407070 | − | 0.913397i | \(-0.366551\pi\) |
0.994560 | + | 0.104166i | \(0.0332173\pi\) | |||||||
\(84\) | −3.18304 | + | 1.13792i | −0.347298 | + | 0.124157i | ||||
\(85\) | −2.08508 | − | 2.93971i | −0.226158 | − | 0.318856i | ||||
\(86\) | −5.17982 | + | 8.97172i | −0.558555 | + | 0.967445i | ||||
\(87\) | 6.50340 | − | 7.66086i | 0.697237 | − | 0.821330i | ||||
\(88\) | −0.165181 | − | 0.286103i | −0.0176084 | − | 0.0304987i | ||||
\(89\) | 8.32490 | 0.882437 | 0.441219 | − | 0.897400i | \(-0.354546\pi\) | ||||
0.441219 | + | 0.897400i | \(0.354546\pi\) | |||||||
\(90\) | −1.77117 | + | 6.47016i | −0.186697 | + | 0.682015i | ||||
\(91\) | 8.93598i | 0.936745i | ||||||||
\(92\) | 3.57984i | 0.373224i | ||||||||
\(93\) | −2.38737 | + | 9.34347i | −0.247559 | + | 0.968873i | ||||
\(94\) | 9.38539 | 0.968029 | ||||||||
\(95\) | 10.9693 | − | 7.78035i | 1.12543 | − | 0.798247i | ||||
\(96\) | −1.12093 | + | 1.32043i | −0.114404 | + | 0.134765i | ||||
\(97\) | 1.82231i | 0.185027i | 0.995711 | + | 0.0925137i | \(0.0294902\pi\) | ||||
−0.995711 | + | 0.0925137i | \(0.970510\pi\) | |||||||
\(98\) | −1.59557 | − | 2.76360i | −0.161176 | − | 0.279166i | ||||
\(99\) | −0.766469 | + | 0.628317i | −0.0770331 | + | 0.0631482i | ||||
\(100\) | 3.26014 | + | 3.79097i | 0.326014 | + | 0.379097i | ||||
\(101\) | − | 0.765602i | − | 0.0761803i | −0.999274 | − | 0.0380901i | \(-0.987873\pi\) | ||
0.999274 | − | 0.0380901i | \(-0.0121274\pi\) | |||||||
\(102\) | −2.62878 | + | 0.939773i | −0.260288 | + | 0.0930514i | ||||
\(103\) | −8.27469 | + | 4.77739i | −0.815329 | + | 0.470731i | −0.848803 | − | 0.528709i | \(-0.822676\pi\) |
0.0334739 | + | 0.999440i | \(0.489343\pi\) | |||||||
\(104\) | 2.28936 | + | 3.96529i | 0.224490 | + | 0.388829i | ||||
\(105\) | 7.53009 | + | 0.656278i | 0.734862 | + | 0.0640462i | ||||
\(106\) | −3.84607 | + | 2.22053i | −0.373564 | + | 0.215677i | ||||
\(107\) | 4.55170 | − | 7.88378i | 0.440030 | − | 0.762154i | −0.557661 | − | 0.830068i | \(-0.688301\pi\) |
0.997691 | + | 0.0679147i | \(0.0216346\pi\) | |||||||
\(108\) | 4.45467 | + | 2.67505i | 0.428651 | + | 0.257407i | ||||
\(109\) | 7.60812 | 0.728726 | 0.364363 | − | 0.931257i | \(-0.381287\pi\) | ||||
0.364363 | + | 0.931257i | \(0.381287\pi\) | |||||||
\(110\) | 0.0688434 | + | 0.735499i | 0.00656396 | + | 0.0701271i | ||||
\(111\) | −2.70671 | − | 7.57134i | −0.256909 | − | 0.718640i | ||||
\(112\) | 1.69016 | + | 0.975816i | 0.159705 | + | 0.0922060i | ||||
\(113\) | −1.15680 | − | 2.00363i | −0.108822 | − | 0.188486i | 0.806471 | − | 0.591274i | \(-0.201375\pi\) |
−0.915293 | + | 0.402788i | \(0.868041\pi\) | |||||||
\(114\) | −3.50671 | − | 9.80914i | −0.328433 | − | 0.918710i | ||||
\(115\) | 3.33891 | − | 7.27515i | 0.311355 | − | 0.678411i | ||||
\(116\) | −5.80181 | −0.538684 | ||||||||
\(117\) | 10.6230 | − | 8.70826i | 0.982098 | − | 0.805079i | ||||
\(118\) | 1.42124 | + | 0.820553i | 0.130836 | + | 0.0755380i | ||||
\(119\) | 1.57282 | + | 2.72420i | 0.144180 | + | 0.249727i | ||||
\(120\) | 3.50957 | − | 1.63796i | 0.320379 | − | 0.149525i | ||||
\(121\) | 5.44543 | − | 9.43176i | 0.495039 | − | 0.857433i | ||||
\(122\) | 2.17067i | 0.196523i | ||||||||
\(123\) | 1.31919 | − | 7.23866i | 0.118947 | − | 0.652688i | ||||
\(124\) | 5.00448 | − | 2.44033i | 0.449415 | − | 0.219148i | ||||
\(125\) | −3.08961 | − | 10.7450i | −0.276343 | − | 0.961059i | ||||
\(126\) | 2.06542 | − | 5.47849i | 0.184002 | − | 0.488063i | ||||
\(127\) | 5.06743 | − | 8.77704i | 0.449661 | − | 0.778836i | −0.548702 | − | 0.836018i | \(-0.684878\pi\) |
0.998364 | + | 0.0571814i | \(0.0182113\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −6.04029 | − | 16.8962i | −0.531818 | − | 1.48763i | ||||
\(130\) | −0.954147 | − | 10.1938i | −0.0836842 | − | 0.894053i | ||||
\(131\) | −7.99557 | − | 4.61625i | −0.698577 | − | 0.403323i | 0.108240 | − | 0.994125i | \(-0.465478\pi\) |
−0.806817 | + | 0.590801i | \(0.798812\pi\) | |||||||
\(132\) | 0.562934 | + | 0.102590i | 0.0489971 | + | 0.00892931i | ||||
\(133\) | −10.1652 | + | 5.86887i | −0.881433 | + | 0.508896i | ||||
\(134\) | 5.38440 | − | 3.10868i | 0.465141 | − | 0.268549i | ||||
\(135\) | −6.55802 | − | 9.59126i | −0.564425 | − | 0.825484i | ||||
\(136\) | 1.39586 | + | 0.805898i | 0.119694 | + | 0.0691052i | ||||
\(137\) | −8.94523 | + | 5.16453i | −0.764242 | + | 0.441235i | −0.830817 | − | 0.556546i | \(-0.812126\pi\) |
0.0665746 | + | 0.997781i | \(0.478793\pi\) | |||||||
\(138\) | −4.72691 | − | 4.01273i | −0.402381 | − | 0.341586i | ||||
\(139\) | 15.5578i | 1.31959i | 0.751445 | + | 0.659796i | \(0.229357\pi\) | ||||
−0.751445 | + | 0.659796i | \(0.770643\pi\) | |||||||
\(140\) | −2.52470 | − | 3.55952i | −0.213376 | − | 0.300835i | ||||
\(141\) | −10.5203 | + | 12.3927i | −0.885971 | + | 1.04366i | ||||
\(142\) | 0.0180409 | − | 0.0104159i | 0.00151396 | − | 0.000874086i | ||||
\(143\) | 0.756320 | − | 1.30998i | 0.0632467 | − | 0.109546i | ||||
\(144\) | −0.487050 | − | 2.96020i | −0.0405875 | − | 0.246683i | ||||
\(145\) | 11.7908 | + | 5.41134i | 0.979170 | + | 0.449388i | ||||
\(146\) | 1.98018 | + | 3.42977i | 0.163881 | + | 0.283850i | ||||
\(147\) | 5.43764 | + | 0.990965i | 0.448489 | + | 0.0817334i | ||||
\(148\) | −2.32112 | + | 4.02031i | −0.190795 | + | 0.330467i | ||||
\(149\) | 6.57925 | + | 3.79853i | 0.538993 | + | 0.311188i | 0.744671 | − | 0.667432i | \(-0.232607\pi\) |
−0.205678 | + | 0.978620i | \(0.565940\pi\) | |||||||
\(150\) | −8.66008 | + | 0.0553790i | −0.707092 | + | 0.00452168i | ||||
\(151\) | − | 12.8565i | − | 1.04625i | −0.852257 | − | 0.523123i | \(-0.824767\pi\) | ||
0.852257 | − | 0.523123i | \(-0.175233\pi\) | |||||||
\(152\) | −3.00716 | + | 5.20856i | −0.243913 | + | 0.422470i | ||||
\(153\) | 1.70577 | − | 4.52452i | 0.137903 | − | 0.365786i | ||||
\(154\) | − | 0.644747i | − | 0.0519552i | ||||||
\(155\) | −12.4465 | + | 0.291708i | −0.999725 | + | 0.0234306i | ||||
\(156\) | −7.80208 | − | 1.42186i | −0.624666 | − | 0.113840i | ||||
\(157\) | − | 18.5672i | − | 1.48182i | −0.671602 | − | 0.740912i | \(-0.734393\pi\) | ||
0.671602 | − | 0.740912i | \(-0.265607\pi\) | |||||||
\(158\) | −2.32185 | − | 1.34052i | −0.184716 | − | 0.106646i | ||||
\(159\) | 1.37912 | − | 7.56751i | 0.109371 | − | 0.600142i | ||||
\(160\) | −2.03226 | − | 0.932700i | −0.160664 | − | 0.0737364i | ||||
\(161\) | −3.49326 | + | 6.05051i | −0.275308 | + | 0.476847i | ||||
\(162\) | −8.52556 | + | 2.88353i | −0.669832 | + | 0.226552i | ||||
\(163\) | − | 10.2734i | − | 0.804672i | −0.915492 | − | 0.402336i | \(-0.868198\pi\) | ||
0.915492 | − | 0.402336i | \(-0.131802\pi\) | |||||||
\(164\) | −3.67894 | + | 2.12404i | −0.287277 | + | 0.165860i | ||||
\(165\) | −1.04834 | − | 0.733537i | −0.0816132 | − | 0.0571058i | ||||
\(166\) | 12.7695 | − | 7.37245i | 0.991102 | − | 0.572213i | ||||
\(167\) | 13.1917 | + | 7.61625i | 1.02081 | + | 0.589363i | 0.914338 | − | 0.404953i | \(-0.132712\pi\) |
0.106469 | + | 0.994316i | \(0.466045\pi\) | |||||||
\(168\) | −3.18304 | + | 1.13792i | −0.245577 | + | 0.0877923i | ||||
\(169\) | −3.98235 | + | 6.89762i | −0.306334 | + | 0.530586i | ||||
\(170\) | −2.08508 | − | 2.93971i | −0.159918 | − | 0.225465i | ||||
\(171\) | 16.8830 | + | 6.36497i | 1.29108 | + | 0.486741i | ||||
\(172\) | −5.17982 | + | 8.97172i | −0.394958 | + | 0.684087i | ||||
\(173\) | 8.51064 | + | 14.7409i | 0.647052 | + | 1.12073i | 0.983824 | + | 0.179140i | \(0.0573316\pi\) |
−0.336772 | + | 0.941586i | \(0.609335\pi\) | |||||||
\(174\) | 6.50340 | − | 7.66086i | 0.493021 | − | 0.580768i | ||||
\(175\) | 1.81088 | + | 9.58866i | 0.136890 | + | 0.724835i | ||||
\(176\) | −0.165181 | − | 0.286103i | −0.0124510 | − | 0.0215658i | ||||
\(177\) | −2.67658 | + | 0.956862i | −0.201184 | + | 0.0719222i | ||||
\(178\) | 8.32490 | 0.623978 | ||||||||
\(179\) | 13.0503 | − | 22.6038i | 0.975427 | − | 1.68949i | 0.296909 | − | 0.954906i | \(-0.404044\pi\) |
0.678518 | − | 0.734584i | \(-0.262623\pi\) | |||||||
\(180\) | −1.77117 | + | 6.47016i | −0.132015 | + | 0.482257i | ||||
\(181\) | 0.630738 | − | 0.364157i | 0.0468824 | − | 0.0270676i | −0.476376 | − | 0.879242i | \(-0.658050\pi\) |
0.523258 | + | 0.852174i | \(0.324716\pi\) | |||||||
\(182\) | 8.93598i | 0.662379i | ||||||||
\(183\) | −2.86621 | − | 2.43316i | −0.211876 | − | 0.179864i | ||||
\(184\) | 3.57984i | 0.263909i | ||||||||
\(185\) | 8.46686 | − | 6.00539i | 0.622496 | − | 0.441525i | ||||
\(186\) | −2.38737 | + | 9.34347i | −0.175050 | + | 0.685097i | ||||
\(187\) | − | 0.532478i | − | 0.0389386i | ||||||
\(188\) | 9.38539 | 0.684500 | ||||||||
\(189\) | 4.91877 | + | 8.86821i | 0.357788 | + | 0.645068i | ||||
\(190\) | 10.9693 | − | 7.78035i | 0.795800 | − | 0.564446i | ||||
\(191\) | −20.8724 | + | 12.0507i | −1.51027 | + | 0.871955i | −0.510342 | + | 0.859971i | \(0.670481\pi\) |
−0.999928 | + | 0.0119839i | \(0.996185\pi\) | |||||||
\(192\) | −1.12093 | + | 1.32043i | −0.0808959 | + | 0.0952935i | ||||
\(193\) | −9.95662 | − | 5.74846i | −0.716693 | − | 0.413783i | 0.0968412 | − | 0.995300i | \(-0.469126\pi\) |
−0.813534 | + | 0.581517i | \(0.802459\pi\) | |||||||
\(194\) | 1.82231i | 0.130834i | ||||||||
\(195\) | 14.5297 | + | 10.1666i | 1.04049 | + | 0.728044i | ||||
\(196\) | −1.59557 | − | 2.76360i | −0.113969 | − | 0.197400i | ||||
\(197\) | −23.3678 | + | 13.4914i | −1.66489 | + | 0.961223i | −0.694557 | + | 0.719438i | \(0.744400\pi\) |
−0.970330 | + | 0.241785i | \(0.922267\pi\) | |||||||
\(198\) | −0.766469 | + | 0.628317i | −0.0544706 | + | 0.0446525i | ||||
\(199\) | 16.7830 | − | 9.68967i | 1.18971 | − | 0.686882i | 0.231473 | − | 0.972841i | \(-0.425645\pi\) |
0.958242 | + | 0.285959i | \(0.0923121\pi\) | |||||||
\(200\) | 3.26014 | + | 3.79097i | 0.230527 | + | 0.268062i | ||||
\(201\) | −1.93072 | + | 10.5943i | −0.136183 | + | 0.747264i | ||||
\(202\) | − | 0.765602i | − | 0.0538676i | ||||||
\(203\) | −9.80600 | − | 5.66150i | −0.688246 | − | 0.397359i | ||||
\(204\) | −2.62878 | + | 0.939773i | −0.184051 | + | 0.0657973i | ||||
\(205\) | 9.45765 | − | 0.885245i | 0.660551 | − | 0.0618282i | ||||
\(206\) | −8.27469 | + | 4.77739i | −0.576525 | + | 0.332857i | ||||
\(207\) | 10.5970 | − | 1.74356i | 0.736545 | − | 0.121186i | ||||
\(208\) | 2.28936 | + | 3.96529i | 0.158739 | + | 0.274943i | ||||
\(209\) | 1.98691 | 0.137437 | ||||||||
\(210\) | 7.53009 | + | 0.656278i | 0.519626 | + | 0.0452875i | ||||
\(211\) | −3.31031 | + | 5.73362i | −0.227891 | + | 0.394719i | −0.957183 | − | 0.289484i | \(-0.906516\pi\) |
0.729292 | + | 0.684203i | \(0.239850\pi\) | |||||||
\(212\) | −3.84607 | + | 2.22053i | −0.264149 | + | 0.152507i | ||||
\(213\) | −0.00646907 | + | 0.0354972i | −0.000443253 | + | 0.00243223i | ||||
\(214\) | 4.55170 | − | 7.88378i | 0.311148 | − | 0.538924i | ||||
\(215\) | 18.8947 | − | 13.4016i | 1.28860 | − | 0.913983i | ||||
\(216\) | 4.45467 | + | 2.67505i | 0.303102 | + | 0.182014i | ||||
\(217\) | 10.8397 | + | 0.758891i | 0.735846 | + | 0.0515169i | ||||
\(218\) | 7.60812 | 0.515287 | ||||||||
\(219\) | −6.74839 | − | 1.22984i | −0.456014 | − | 0.0831048i | ||||
\(220\) | 0.0688434 | + | 0.735499i | 0.00464142 | + | 0.0495873i | ||||
\(221\) | 7.37996i | 0.496430i | ||||||||
\(222\) | −2.70671 | − | 7.57134i | −0.181662 | − | 0.508155i | ||||
\(223\) | 8.34451 | − | 14.4531i | 0.558790 | − | 0.967853i | −0.438808 | − | 0.898581i | \(-0.644599\pi\) |
0.997598 | − | 0.0692716i | \(-0.0220675\pi\) | |||||||
\(224\) | 1.69016 | + | 0.975816i | 0.112929 | + | 0.0651995i | ||||
\(225\) | 9.63418 | − | 11.4971i | 0.642279 | − | 0.766471i | ||||
\(226\) | −1.15680 | − | 2.00363i | −0.0769491 | − | 0.133280i | ||||
\(227\) | −9.22552 | − | 15.9791i | −0.612320 | − | 1.06057i | −0.990848 | − | 0.134979i | \(-0.956903\pi\) |
0.378529 | − | 0.925589i | \(-0.376430\pi\) | |||||||
\(228\) | −3.50671 | − | 9.80914i | −0.232237 | − | 0.649626i | ||||
\(229\) | 9.54074 | + | 5.50835i | 0.630470 | + | 0.364002i | 0.780934 | − | 0.624614i | \(-0.214744\pi\) |
−0.150464 | + | 0.988615i | \(0.548077\pi\) | |||||||
\(230\) | 3.33891 | − | 7.27515i | 0.220161 | − | 0.479709i | ||||
\(231\) | 0.851341 | + | 0.722714i | 0.0560141 | + | 0.0475511i | ||||
\(232\) | −5.80181 | −0.380907 | ||||||||
\(233\) | −19.4217 | −1.27236 | −0.636179 | − | 0.771542i | \(-0.719486\pi\) | ||||
−0.636179 | + | 0.771542i | \(0.719486\pi\) | |||||||
\(234\) | 10.6230 | − | 8.70826i | 0.694448 | − | 0.569277i | ||||
\(235\) | −19.0735 | − | 8.75375i | −1.24422 | − | 0.571032i | ||||
\(236\) | 1.42124 | + | 0.820553i | 0.0925148 | + | 0.0534134i | ||||
\(237\) | 4.37267 | − | 1.56320i | 0.284036 | − | 0.101541i | ||||
\(238\) | 1.57282 | + | 2.72420i | 0.101951 | + | 0.176583i | ||||
\(239\) | −7.58762 | − | 13.1421i | −0.490802 | − | 0.850094i | 0.509142 | − | 0.860683i | \(-0.329963\pi\) |
−0.999944 | + | 0.0105883i | \(0.996630\pi\) | |||||||
\(240\) | 3.50957 | − | 1.63796i | 0.226542 | − | 0.105730i | ||||
\(241\) | 24.4006 | + | 14.0877i | 1.57178 | + | 0.907469i | 0.995951 | + | 0.0899015i | \(0.0286552\pi\) |
0.575832 | + | 0.817568i | \(0.304678\pi\) | |||||||
\(242\) | 5.44543 | − | 9.43176i | 0.350046 | − | 0.606297i | ||||
\(243\) | 5.74903 | − | 14.4896i | 0.368801 | − | 0.929509i | ||||
\(244\) | 2.17067i | 0.138963i | ||||||||
\(245\) | 0.664991 | + | 7.10453i | 0.0424847 | + | 0.453892i | ||||
\(246\) | 1.31919 | − | 7.23866i | 0.0841082 | − | 0.461520i | ||||
\(247\) | −27.5379 | −1.75220 | ||||||||
\(248\) | 5.00448 | − | 2.44033i | 0.317785 | − | 0.154961i | ||||
\(249\) | −4.57884 | + | 25.1251i | −0.290172 | + | 1.59224i | ||||
\(250\) | −3.08961 | − | 10.7450i | −0.195404 | − | 0.679571i | ||||
\(251\) | 0.116519 | − | 0.201816i | 0.00735460 | − | 0.0127385i | −0.862325 | − | 0.506356i | \(-0.830992\pi\) |
0.869679 | + | 0.493617i | \(0.164326\pi\) | |||||||
\(252\) | 2.06542 | − | 5.47849i | 0.130109 | − | 0.345113i | ||||
\(253\) | 1.02420 | − | 0.591323i | 0.0643910 | − | 0.0371762i | ||||
\(254\) | 5.06743 | − | 8.77704i | 0.317959 | − | 0.550720i | ||||
\(255\) | 6.21888 | + | 0.542001i | 0.389442 | + | 0.0339414i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −7.88542 | − | 13.6580i | −0.491879 | − | 0.851960i | 0.508077 | − | 0.861312i | \(-0.330356\pi\) |
−0.999956 | + | 0.00935193i | \(0.997023\pi\) | |||||||
\(258\) | −6.04029 | − | 16.8962i | −0.376052 | − | 1.05191i | ||||
\(259\) | −7.84616 | + | 4.52998i | −0.487537 | + | 0.281479i | ||||
\(260\) | −0.954147 | − | 10.1938i | −0.0591737 | − | 0.632191i | ||||
\(261\) | 2.82577 | + | 17.1745i | 0.174911 | + | 1.06308i | ||||
\(262\) | −7.99557 | − | 4.61625i | −0.493968 | − | 0.285193i | ||||
\(263\) | 18.7956i | 1.15899i | 0.814977 | + | 0.579493i | \(0.196749\pi\) | ||||
−0.814977 | + | 0.579493i | \(0.803251\pi\) | |||||||
\(264\) | 0.562934 | + | 0.102590i | 0.0346462 | + | 0.00631398i | ||||
\(265\) | 9.88730 | − | 0.925461i | 0.607372 | − | 0.0568506i | ||||
\(266\) | −10.1652 | + | 5.86887i | −0.623268 | + | 0.359844i | ||||
\(267\) | −9.33159 | + | 10.9924i | −0.571084 | + | 0.672725i | ||||
\(268\) | 5.38440 | − | 3.10868i | 0.328904 | − | 0.189893i | ||||
\(269\) | −10.3372 | − | 17.9046i | −0.630271 | − | 1.09166i | −0.987496 | − | 0.157643i | \(-0.949610\pi\) |
0.357225 | − | 0.934018i | \(-0.383723\pi\) | |||||||
\(270\) | −6.55802 | − | 9.59126i | −0.399109 | − | 0.583706i | ||||
\(271\) | − | 4.19858i | − | 0.255046i | −0.991836 | − | 0.127523i | \(-0.959297\pi\) | ||
0.991836 | − | 0.127523i | \(-0.0407026\pi\) | |||||||
\(272\) | 1.39586 | + | 0.805898i | 0.0846362 | + | 0.0488647i | ||||
\(273\) | −11.7993 | − | 10.0166i | −0.714126 | − | 0.606230i | ||||
\(274\) | −8.94523 | + | 5.16453i | −0.540401 | + | 0.312001i | ||||
\(275\) | 0.546092 | − | 1.55893i | 0.0329306 | − | 0.0940073i | ||||
\(276\) | −4.72691 | − | 4.01273i | −0.284527 | − | 0.241538i | ||||
\(277\) | 17.0716 | 1.02573 | 0.512866 | − | 0.858469i | \(-0.328584\pi\) | ||||
0.512866 | + | 0.858469i | \(0.328584\pi\) | |||||||
\(278\) | 15.5578i | 0.933093i | ||||||||
\(279\) | −9.66130 | − | 13.6257i | −0.578407 | − | 0.815748i | ||||
\(280\) | −2.52470 | − | 3.55952i | −0.150880 | − | 0.212722i | ||||
\(281\) | 30.4242i | 1.81495i | 0.420102 | + | 0.907477i | \(0.361994\pi\) | ||||
−0.420102 | + | 0.907477i | \(0.638006\pi\) | |||||||
\(282\) | −10.5203 | + | 12.3927i | −0.626476 | + | 0.737976i | ||||
\(283\) | − | 3.94960i | − | 0.234779i | −0.993086 | − | 0.117390i | \(-0.962547\pi\) | ||
0.993086 | − | 0.117390i | \(-0.0374526\pi\) | |||||||
\(284\) | 0.0180409 | − | 0.0104159i | 0.00107053 | − | 0.000618072i | ||||
\(285\) | −2.02245 | + | 23.2054i | −0.119799 | + | 1.37457i | ||||
\(286\) | 0.756320 | − | 1.30998i | 0.0447221 | − | 0.0774610i | ||||
\(287\) | −8.29068 | −0.489384 | ||||||||
\(288\) | −0.487050 | − | 2.96020i | −0.0286997 | − | 0.174431i | ||||
\(289\) | −7.20106 | − | 12.4726i | −0.423592 | − | 0.733682i | ||||
\(290\) | 11.7908 | + | 5.41134i | 0.692378 | + | 0.317765i | ||||
\(291\) | −2.40622 | − | 2.04267i | −0.141055 | − | 0.119744i | ||||
\(292\) | 1.98018 | + | 3.42977i | 0.115881 | + | 0.200712i | ||||
\(293\) | −7.39011 | + | 12.8000i | −0.431735 | + | 0.747786i | −0.997023 | − | 0.0771072i | \(-0.975432\pi\) |
0.565288 | + | 0.824893i | \(0.308765\pi\) | |||||||
\(294\) | 5.43764 | + | 0.990965i | 0.317130 | + | 0.0577943i | ||||
\(295\) | −2.12299 | − | 2.99316i | −0.123606 | − | 0.174269i | ||||
\(296\) | −2.32112 | + | 4.02031i | −0.134913 | + | 0.233676i | ||||
\(297\) | 0.0295098 | − | 1.71636i | 0.00171233 | − | 0.0995935i | ||||
\(298\) | 6.57925 | + | 3.79853i | 0.381126 | + | 0.220043i | ||||
\(299\) | −14.1951 | + | 8.19554i | −0.820923 | + | 0.473960i | ||||
\(300\) | −8.66008 | + | 0.0553790i | −0.499990 | + | 0.00319731i | ||||
\(301\) | −17.5095 | + | 10.1091i | −1.00923 | + | 0.582679i | ||||
\(302\) | − | 12.8565i | − | 0.739808i | ||||||
\(303\) | 1.01092 | + | 0.858183i | 0.0580759 | + | 0.0493013i | ||||
\(304\) | −3.00716 | + | 5.20856i | −0.172473 | + | 0.298731i | ||||
\(305\) | 2.02458 | − | 4.41136i | 0.115927 | − | 0.252594i | ||||
\(306\) | 1.70577 | − | 4.52452i | 0.0975122 | − | 0.258650i | ||||
\(307\) | −11.2636 | − | 6.50301i | −0.642845 | − | 0.371147i | 0.142865 | − | 0.989742i | \(-0.454369\pi\) |
−0.785710 | + | 0.618596i | \(0.787702\pi\) | |||||||
\(308\) | − | 0.644747i | − | 0.0367379i | ||||||
\(309\) | 2.96712 | − | 16.2812i | 0.168793 | − | 0.926206i | ||||
\(310\) | −12.4465 | + | 0.291708i | −0.706913 | + | 0.0165679i | ||||
\(311\) | − | 24.9699i | − | 1.41591i | −0.706256 | − | 0.707956i | \(-0.749617\pi\) | ||
0.706256 | − | 0.707956i | \(-0.250383\pi\) | |||||||
\(312\) | −7.80208 | − | 1.42186i | −0.441706 | − | 0.0804972i | ||||
\(313\) | −6.43179 | + | 11.1402i | −0.363546 | + | 0.629680i | −0.988542 | − | 0.150948i | \(-0.951767\pi\) |
0.624996 | + | 0.780628i | \(0.285101\pi\) | |||||||
\(314\) | − | 18.5672i | − | 1.04781i | ||||||
\(315\) | −9.30724 | + | 9.20729i | −0.524404 | + | 0.518772i | ||||
\(316\) | −2.32185 | − | 1.34052i | −0.130614 | − | 0.0754101i | ||||
\(317\) | −6.81198 | + | 11.7987i | −0.382599 | + | 0.662681i | −0.991433 | − | 0.130617i | \(-0.958304\pi\) |
0.608834 | + | 0.793298i | \(0.291638\pi\) | |||||||
\(318\) | 1.37912 | − | 7.56751i | 0.0773369 | − | 0.424365i | ||||
\(319\) | 0.958351 | + | 1.65991i | 0.0536574 | + | 0.0929373i | ||||
\(320\) | −2.03226 | − | 0.932700i | −0.113607 | − | 0.0521395i | ||||
\(321\) | 5.30783 | + | 14.8473i | 0.296254 | + | 0.828697i | ||||
\(322\) | −3.49326 | + | 6.05051i | −0.194672 | + | 0.337182i | ||||
\(323\) | −8.39513 | + | 4.84693i | −0.467117 | + | 0.269690i | ||||
\(324\) | −8.52556 | + | 2.88353i | −0.473642 | + | 0.160196i | ||||
\(325\) | −7.56866 | + | 21.6063i | −0.419834 | + | 1.19850i | ||||
\(326\) | − | 10.2734i | − | 0.568989i | ||||||
\(327\) | −8.52814 | + | 10.0460i | −0.471607 | + | 0.555543i | ||||
\(328\) | −3.67894 | + | 2.12404i | −0.203136 | + | 0.117280i | ||||
\(329\) | 15.8628 | + | 9.15842i | 0.874547 | + | 0.504920i | ||||
\(330\) | −1.04834 | − | 0.733537i | −0.0577093 | − | 0.0403799i | ||||
\(331\) | 13.3530 | − | 7.70937i | 0.733949 | − | 0.423745i | −0.0859163 | − | 0.996302i | \(-0.527382\pi\) |
0.819865 | + | 0.572557i | \(0.194048\pi\) | |||||||
\(332\) | 12.7695 | − | 7.37245i | 0.700815 | − | 0.404616i | ||||
\(333\) | 13.0314 | + | 4.91290i | 0.714117 | + | 0.269225i | ||||
\(334\) | 13.1917 | + | 7.61625i | 0.721819 | + | 0.416743i | ||||
\(335\) | −13.8420 | + | 1.29562i | −0.756267 | + | 0.0707873i | ||||
\(336\) | −3.18304 | + | 1.13792i | −0.173649 | + | 0.0620785i | ||||
\(337\) | 8.19338 | 0.446322 | 0.223161 | − | 0.974782i | \(-0.428362\pi\) | ||||
0.223161 | + | 0.974782i | \(0.428362\pi\) | |||||||
\(338\) | −3.98235 | + | 6.89762i | −0.216611 | + | 0.375181i | ||||
\(339\) | 3.94234 | + | 0.718458i | 0.214118 | + | 0.0390213i | ||||
\(340\) | −2.08508 | − | 2.93971i | −0.113079 | − | 0.159428i | ||||
\(341\) | −1.52483 | − | 1.02870i | −0.0825743 | − | 0.0557071i | ||||
\(342\) | 16.8830 | + | 6.36497i | 0.912928 | + | 0.344178i | ||||
\(343\) | − | 19.8893i | − | 1.07392i | ||||||
\(344\) | −5.17982 | + | 8.97172i | −0.279277 | + | 0.483723i | ||||
\(345\) | 5.86363 | + | 12.5637i | 0.315687 | + | 0.676407i | ||||
\(346\) | 8.51064 | + | 14.7409i | 0.457535 | + | 0.792473i | ||||
\(347\) | −22.4803 | − | 12.9790i | −1.20681 | − | 0.696751i | −0.244748 | − | 0.969587i | \(-0.578705\pi\) |
−0.962061 | + | 0.272836i | \(0.912038\pi\) | |||||||
\(348\) | 6.50340 | − | 7.66086i | 0.348619 | − | 0.410665i | ||||
\(349\) | −11.9841 | −0.641497 | −0.320748 | − | 0.947164i | \(-0.603934\pi\) | ||||
−0.320748 | + | 0.947164i | \(0.603934\pi\) | |||||||
\(350\) | 1.81088 | + | 9.58866i | 0.0967957 | + | 0.512535i | ||||
\(351\) | −0.408995 | + | 23.7882i | −0.0218306 | + | 1.26972i | ||||
\(352\) | −0.165181 | − | 0.286103i | −0.00880420 | − | 0.0152493i | ||||
\(353\) | 13.6272 | + | 7.86764i | 0.725300 | + | 0.418752i | 0.816700 | − | 0.577062i | \(-0.195801\pi\) |
−0.0914002 | + | 0.995814i | \(0.529134\pi\) | |||||||
\(354\) | −2.67658 | + | 0.956862i | −0.142259 | + | 0.0508567i | ||||
\(355\) | −0.0463788 | + | 0.00434110i | −0.00246153 | + | 0.000230401i | ||||
\(356\) | 8.32490 | 0.441219 | ||||||||
\(357\) | −5.36011 | − | 0.976836i | −0.283687 | − | 0.0516996i | ||||
\(358\) | 13.0503 | − | 22.6038i | 0.689731 | − | 1.19465i | ||||
\(359\) | 14.9659 | − | 8.64059i | 0.789873 | − | 0.456033i | −0.0500451 | − | 0.998747i | \(-0.515937\pi\) |
0.839918 | + | 0.542714i | \(0.182603\pi\) | |||||||
\(360\) | −1.77117 | + | 6.47016i | −0.0933486 | + | 0.341007i | ||||
\(361\) | −8.58604 | − | 14.8715i | −0.451897 | − | 0.782708i | ||||
\(362\) | 0.630738 | − | 0.364157i | 0.0331508 | − | 0.0191397i | ||||
\(363\) | 6.35002 | + | 17.7626i | 0.333290 | + | 0.932294i | ||||
\(364\) | 8.93598i | 0.468373i | ||||||||
\(365\) | −0.825288 | − | 8.81709i | −0.0431976 | − | 0.461508i | ||||
\(366\) | −2.86621 | − | 2.43316i | −0.149819 | − | 0.127183i | ||||
\(367\) | 10.2023 | + | 17.6709i | 0.532556 | + | 0.922415i | 0.999277 | + | 0.0380101i | \(0.0121019\pi\) |
−0.466721 | + | 0.884405i | \(0.654565\pi\) | |||||||
\(368\) | 3.57984i | 0.186612i | ||||||||
\(369\) | 8.07941 | + | 9.85589i | 0.420597 | + | 0.513077i | ||||
\(370\) | 8.46686 | − | 6.00539i | 0.440171 | − | 0.312205i | ||||
\(371\) | −8.66732 | −0.449985 | ||||||||
\(372\) | −2.38737 | + | 9.34347i | −0.123779 | + | 0.484436i | ||||
\(373\) | 23.5595i | 1.21986i | 0.792453 | + | 0.609932i | \(0.208803\pi\) | ||||
−0.792453 | + | 0.609932i | \(0.791197\pi\) | |||||||
\(374\) | − | 0.532478i | − | 0.0275338i | ||||||
\(375\) | 17.6512 | + | 7.96471i | 0.911502 | + | 0.411296i | ||||
\(376\) | 9.38539 | 0.484015 | ||||||||
\(377\) | −13.2824 | − | 23.0058i | −0.684080 | − | 1.18486i | ||||
\(378\) | 4.91877 | + | 8.86821i | 0.252994 | + | 0.456132i | ||||
\(379\) | −3.65423 | + | 6.32930i | −0.187705 | + | 0.325115i | −0.944485 | − | 0.328555i | \(-0.893438\pi\) |
0.756780 | + | 0.653670i | \(0.226772\pi\) | |||||||
\(380\) | 10.9693 | − | 7.78035i | 0.562716 | − | 0.399124i | ||||
\(381\) | 5.90922 | + | 16.5296i | 0.302739 | + | 0.846836i | ||||
\(382\) | −20.8724 | + | 12.0507i | −1.06792 | + | 0.616565i | ||||
\(383\) | −11.0470 | + | 6.37801i | −0.564477 | + | 0.325901i | −0.754941 | − | 0.655793i | \(-0.772334\pi\) |
0.190463 | + | 0.981694i | \(0.439001\pi\) | |||||||
\(384\) | −1.12093 | + | 1.32043i | −0.0572020 | + | 0.0673827i | ||||
\(385\) | −0.601355 | + | 1.31029i | −0.0306479 | + | 0.0667787i | ||||
\(386\) | −9.95662 | − | 5.74846i | −0.506779 | − | 0.292589i | ||||
\(387\) | 29.0809 | + | 10.9636i | 1.47827 | + | 0.557313i | ||||
\(388\) | 1.82231i | 0.0925137i | ||||||||
\(389\) | 12.1118 | − | 20.9783i | 0.614093 | − | 1.06364i | −0.376450 | − | 0.926437i | \(-0.622855\pi\) |
0.990543 | − | 0.137203i | \(-0.0438112\pi\) | |||||||
\(390\) | 14.5297 | + | 10.1666i | 0.735738 | + | 0.514805i | ||||
\(391\) | −2.88498 | + | 4.99694i | −0.145900 | + | 0.252706i | ||||
\(392\) | −1.59557 | − | 2.76360i | −0.0805882 | − | 0.139583i | ||||
\(393\) | 15.0579 | − | 5.38310i | 0.759569 | − | 0.271541i | ||||
\(394\) | −23.3678 | + | 13.4914i | −1.17725 | + | 0.679687i | ||||
\(395\) | 3.46829 | + | 4.88986i | 0.174509 | + | 0.246036i | ||||
\(396\) | −0.766469 | + | 0.628317i | −0.0385165 | + | 0.0315741i | ||||
\(397\) | 8.87940 | + | 5.12652i | 0.445644 | + | 0.257293i | 0.705989 | − | 0.708223i | \(-0.250503\pi\) |
−0.260345 | + | 0.965516i | \(0.583836\pi\) | |||||||
\(398\) | 16.7830 | − | 9.68967i | 0.841255 | − | 0.485699i | ||||
\(399\) | 3.64501 | − | 20.0010i | 0.182479 | − | 1.00130i | ||||
\(400\) | 3.26014 | + | 3.79097i | 0.163007 | + | 0.189549i | ||||
\(401\) | 1.23442 | 0.0616439 | 0.0308219 | − | 0.999525i | \(-0.490188\pi\) | ||||
0.0308219 | + | 0.999525i | \(0.490188\pi\) | |||||||
\(402\) | −1.93072 | + | 10.5943i | −0.0962957 | + | 0.528396i | ||||
\(403\) | 21.1337 | + | 14.2574i | 1.05274 | + | 0.710212i | ||||
\(404\) | − | 0.765602i | − | 0.0380901i | ||||||
\(405\) | 20.0156 | + | 2.09171i | 0.994584 | + | 0.103938i | ||||
\(406\) | −9.80600 | − | 5.66150i | −0.486664 | − | 0.280975i | ||||
\(407\) | 1.53363 | 0.0760191 | ||||||||
\(408\) | −2.62878 | + | 0.939773i | −0.130144 | + | 0.0465257i | ||||
\(409\) | 15.8439 | + | 9.14748i | 0.783431 | + | 0.452314i | 0.837645 | − | 0.546215i | \(-0.183932\pi\) |
−0.0542140 | + | 0.998529i | \(0.517265\pi\) | |||||||
\(410\) | 9.45765 | − | 0.885245i | 0.467080 | − | 0.0437191i | ||||
\(411\) | 3.20756 | − | 17.6006i | 0.158217 | − | 0.868172i | ||||
\(412\) | −8.27469 | + | 4.77739i | −0.407665 | + | 0.235365i | ||||
\(413\) | 1.60142 | + | 2.77374i | 0.0788006 | + | 0.136487i | ||||
\(414\) | 10.5970 | − | 1.74356i | 0.520816 | − | 0.0856914i | ||||
\(415\) | −32.8271 | + | 3.07265i | −1.61142 | + | 0.150830i | ||||
\(416\) | 2.28936 | + | 3.96529i | 0.112245 | + | 0.194414i | ||||
\(417\) | −20.5429 | − | 17.4391i | −1.00599 | − | 0.853996i | ||||
\(418\) | 1.98691 | 0.0971829 | ||||||||
\(419\) | 33.5368i | 1.63838i | 0.573522 | + | 0.819190i | \(0.305577\pi\) | ||||
−0.573522 | + | 0.819190i | \(0.694423\pi\) | |||||||
\(420\) | 7.53009 | + | 0.656278i | 0.367431 | + | 0.0320231i | ||||
\(421\) | −16.7516 | − | 29.0146i | −0.816422 | − | 1.41408i | −0.908302 | − | 0.418315i | \(-0.862621\pi\) |
0.0918798 | − | 0.995770i | \(-0.470712\pi\) | |||||||
\(422\) | −3.31031 | + | 5.73362i | −0.161143 | + | 0.279108i | ||||
\(423\) | −4.57116 | − | 27.7826i | −0.222257 | − | 1.35084i | ||||
\(424\) | −3.84607 | + | 2.22053i | −0.186782 | + | 0.107839i | ||||
\(425\) | 1.49555 | + | 7.91899i | 0.0725450 | + | 0.384128i | ||||
\(426\) | −0.00646907 | + | 0.0354972i | −0.000313427 | + | 0.00171985i | ||||
\(427\) | −2.11817 | + | 3.66878i | −0.102506 | + | 0.177545i | ||||
\(428\) | 4.55170 | − | 7.88378i | 0.220015 | − | 0.381077i | ||||
\(429\) | 0.881959 | + | 2.46706i | 0.0425814 | + | 0.119111i | ||||
\(430\) | 18.8947 | − | 13.4016i | 0.911181 | − | 0.646284i | ||||
\(431\) | −1.74288 | − | 1.00625i | −0.0839515 | − | 0.0484694i | 0.457437 | − | 0.889242i | \(-0.348768\pi\) |
−0.541388 | + | 0.840773i | \(0.682101\pi\) | |||||||
\(432\) | 4.45467 | + | 2.67505i | 0.214326 | + | 0.128703i | ||||
\(433\) | −29.3924 | −1.41251 | −0.706254 | − | 0.707959i | \(-0.749616\pi\) | ||||
−0.706254 | + | 0.707959i | \(0.749616\pi\) | |||||||
\(434\) | 10.8397 | + | 0.758891i | 0.520322 | + | 0.0364279i | ||||
\(435\) | −20.3619 | + | 9.50312i | −0.976276 | + | 0.455640i | ||||
\(436\) | 7.60812 | 0.364363 | ||||||||
\(437\) | −18.6458 | − | 10.7652i | −0.891949 | − | 0.514967i | ||||
\(438\) | −6.74839 | − | 1.22984i | −0.322451 | − | 0.0587640i | ||||
\(439\) | −7.51591 | − | 13.0179i | −0.358715 | − | 0.621312i | 0.629032 | − | 0.777380i | \(-0.283452\pi\) |
−0.987746 | + | 0.156067i | \(0.950118\pi\) | |||||||
\(440\) | 0.0688434 | + | 0.735499i | 0.00328198 | + | 0.0350635i | ||||
\(441\) | −7.40369 | + | 6.06921i | −0.352557 | + | 0.289010i | ||||
\(442\) | 7.37996i | 0.351029i | ||||||||
\(443\) | 17.7288 | + | 30.7072i | 0.842323 | + | 1.45895i | 0.887926 | + | 0.459986i | \(0.152145\pi\) |
−0.0456038 | + | 0.998960i | \(0.514521\pi\) | |||||||
\(444\) | −2.70671 | − | 7.57134i | −0.128455 | − | 0.359320i | ||||
\(445\) | −16.9183 | − | 7.76463i | −0.802006 | − | 0.368079i | ||||
\(446\) | 8.34451 | − | 14.4531i | 0.395124 | − | 0.684375i | ||||
\(447\) | −12.3905 | + | 4.42954i | −0.586052 | + | 0.209510i | ||||
\(448\) | 1.69016 | + | 0.975816i | 0.0798527 | + | 0.0461030i | ||||
\(449\) | −19.8626 | −0.937376 | −0.468688 | − | 0.883364i | \(-0.655273\pi\) | ||||
−0.468688 | + | 0.883364i | \(0.655273\pi\) | |||||||
\(450\) | 9.63418 | − | 11.4971i | 0.454160 | − | 0.541977i | ||||
\(451\) | 1.21539 | + | 0.701704i | 0.0572303 | + | 0.0330419i | ||||
\(452\) | −1.15680 | − | 2.00363i | −0.0544112 | − | 0.0942430i | ||||
\(453\) | 16.9761 | + | 14.4112i | 0.797605 | + | 0.677096i | ||||
\(454\) | −9.22552 | − | 15.9791i | −0.432975 | − | 0.749935i | ||||
\(455\) | 8.33459 | − | 18.1602i | 0.390731 | − | 0.851364i | ||||
\(456\) | −3.50671 | − | 9.80914i | −0.164217 | − | 0.459355i | ||||
\(457\) | 22.1897 | 1.03799 | 0.518996 | − | 0.854776i | \(-0.326306\pi\) | ||||
0.518996 | + | 0.854776i | \(0.326306\pi\) | |||||||
\(458\) | 9.54074 | + | 5.50835i | 0.445809 | + | 0.257388i | ||||
\(459\) | 4.06226 | + | 7.32400i | 0.189610 | + | 0.341855i | ||||
\(460\) | 3.33891 | − | 7.27515i | 0.155678 | − | 0.339206i | ||||
\(461\) | −13.2741 | −0.618235 | −0.309118 | − | 0.951024i | \(-0.600034\pi\) | ||||
−0.309118 | + | 0.951024i | \(0.600034\pi\) | |||||||
\(462\) | 0.851341 | + | 0.722714i | 0.0396080 | + | 0.0336237i | ||||
\(463\) | 22.6449 | 1.05240 | 0.526200 | − | 0.850361i | \(-0.323616\pi\) | ||||
0.526200 | + | 0.850361i | \(0.323616\pi\) | |||||||
\(464\) | −5.80181 | −0.269342 | ||||||||
\(465\) | 13.5664 | − | 16.7616i | 0.629127 | − | 0.777303i | ||||
\(466\) | −19.4217 | −0.899693 | ||||||||
\(467\) | 30.7257 | 1.42182 | 0.710908 | − | 0.703285i | \(-0.248284\pi\) | ||||
0.710908 | + | 0.703285i | \(0.248284\pi\) | |||||||
\(468\) | 10.6230 | − | 8.70826i | 0.491049 | − | 0.402539i | ||||
\(469\) | 12.1340 | 0.560297 | ||||||||
\(470\) | −19.0735 | − | 8.75375i | −0.879797 | − | 0.403780i | ||||
\(471\) | 24.5166 | + | 20.8125i | 1.12967 | + | 0.958988i | ||||
\(472\) | 1.42124 | + | 0.820553i | 0.0654178 | + | 0.0377690i | ||||
\(473\) | 3.42244 | 0.157364 | ||||||||
\(474\) | 4.37267 | − | 1.56320i | 0.200844 | − | 0.0718004i | ||||
\(475\) | −29.5493 | + | 5.58057i | −1.35581 | + | 0.256054i | ||||
\(476\) | 1.57282 | + | 2.72420i | 0.0720899 | + | 0.124863i | ||||
\(477\) | 8.44645 | + | 10.3036i | 0.386736 | + | 0.471771i | ||||
\(478\) | −7.58762 | − | 13.1421i | −0.347050 | − | 0.601108i | ||||
\(479\) | −24.5703 | − | 14.1856i | −1.12264 | − | 0.648159i | −0.180569 | − | 0.983562i | \(-0.557794\pi\) |
−0.942075 | + | 0.335404i | \(0.891127\pi\) | |||||||
\(480\) | 3.50957 | − | 1.63796i | 0.160189 | − | 0.0747623i | ||||
\(481\) | −21.2556 | −0.969170 | ||||||||
\(482\) | 24.4006 | + | 14.0877i | 1.11142 | + | 0.641678i | ||||
\(483\) | −4.07356 | − | 11.3948i | −0.185353 | − | 0.518480i | ||||
\(484\) | 5.44543 | − | 9.43176i | 0.247520 | − | 0.428716i | ||||
\(485\) | 1.69967 | − | 3.70340i | 0.0771779 | − | 0.168163i | ||||
\(486\) | 5.74903 | − | 14.4896i | 0.260781 | − | 0.657262i | ||||
\(487\) | −2.36161 | − | 4.09043i | −0.107015 | − | 0.185355i | 0.807545 | − | 0.589806i | \(-0.200796\pi\) |
−0.914560 | + | 0.404451i | \(0.867463\pi\) | |||||||
\(488\) | 2.17067i | 0.0982615i | ||||||||
\(489\) | 13.5652 | + | 11.5157i | 0.613440 | + | 0.520757i | ||||
\(490\) | 0.664991 | + | 7.10453i | 0.0300412 | + | 0.320950i | ||||
\(491\) | 6.25568 | + | 10.8352i | 0.282315 | + | 0.488984i | 0.971954 | − | 0.235169i | \(-0.0755644\pi\) |
−0.689640 | + | 0.724153i | \(0.742231\pi\) | |||||||
\(492\) | 1.31919 | − | 7.23866i | 0.0594735 | − | 0.326344i | ||||
\(493\) | −8.09849 | − | 4.67566i | −0.364737 | − | 0.210581i | ||||
\(494\) | −27.5379 | −1.23899 | ||||||||
\(495\) | 2.14369 | − | 0.562015i | 0.0963519 | − | 0.0252607i | ||||
\(496\) | 5.00448 | − | 2.44033i | 0.224708 | − | 0.109574i | ||||
\(497\) | 0.0406561 | 0.00182368 | ||||||||
\(498\) | −4.57884 | + | 25.1251i | −0.205183 | + | 1.12588i | ||||
\(499\) | 19.3605 | + | 11.1778i | 0.866693 | + | 0.500386i | 0.866248 | − | 0.499614i | \(-0.166525\pi\) |
0.000445285 | 1.00000i | \(0.499858\pi\) | ||||||||
\(500\) | −3.08961 | − | 10.7450i | −0.138172 | − | 0.480529i | ||||
\(501\) | −24.8436 | + | 8.88146i | −1.10993 | + | 0.396794i | ||||
\(502\) | 0.116519 | − | 0.201816i | 0.00520048 | − | 0.00900750i | ||||
\(503\) | 20.5254 | − | 35.5510i | 0.915180 | − | 1.58514i | 0.108543 | − | 0.994092i | \(-0.465381\pi\) |
0.806637 | − | 0.591047i | \(-0.201285\pi\) | |||||||
\(504\) | 2.06542 | − | 5.47849i | 0.0920009 | − | 0.244031i | ||||
\(505\) | −0.714077 | + | 1.55590i | −0.0317760 | + | 0.0692367i | ||||
\(506\) | 1.02420 | − | 0.591323i | 0.0455313 | − | 0.0262875i | ||||
\(507\) | −4.64389 | − | 12.9901i | −0.206242 | − | 0.576911i | ||||
\(508\) | 5.06743 | − | 8.77704i | 0.224831 | − | 0.389418i | ||||
\(509\) | 12.4960 | + | 21.6437i | 0.553876 | + | 0.959341i | 0.997990 | + | 0.0633709i | \(0.0201851\pi\) |
−0.444114 | + | 0.895970i | \(0.646482\pi\) | |||||||
\(510\) | 6.21888 | + | 0.542001i | 0.275377 | + | 0.0240002i | ||||
\(511\) | 7.72916i | 0.341918i | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −27.3291 | + | 15.1581i | −1.20661 | + | 0.669247i | ||||
\(514\) | −7.88542 | − | 13.6580i | −0.347811 | − | 0.602426i | ||||
\(515\) | 21.2722 | − | 1.99110i | 0.937364 | − | 0.0877382i | ||||
\(516\) | −6.04029 | − | 16.8962i | −0.265909 | − | 0.743814i | ||||
\(517\) | −1.55029 | − | 2.68519i | −0.0681818 | − | 0.118094i | ||||
\(518\) | −7.84616 | + | 4.52998i | −0.344740 | + | 0.199036i | ||||
\(519\) | −29.0040 | − | 5.28574i | −1.27313 | − | 0.232018i | ||||
\(520\) | −0.954147 | − | 10.1938i | −0.0418421 | − | 0.447027i | ||||
\(521\) | 27.9613 | + | 16.1435i | 1.22501 | + | 0.707259i | 0.965982 | − | 0.258611i | \(-0.0832648\pi\) |
0.259027 | + | 0.965870i | \(0.416598\pi\) | |||||||
\(522\) | 2.82577 | + | 17.1745i | 0.123681 | + | 0.751708i | ||||
\(523\) | 36.5284 | 1.59728 | 0.798638 | − | 0.601811i | \(-0.205554\pi\) | ||||
0.798638 | + | 0.601811i | \(0.205554\pi\) | |||||||
\(524\) | −7.99557 | − | 4.61625i | −0.349288 | − | 0.201662i | ||||
\(525\) | −14.6910 | − | 8.35704i | −0.641167 | − | 0.364731i | ||||
\(526\) | 18.7956i | 0.819526i | ||||||||
\(527\) | 8.95219 | + | 0.626746i | 0.389963 | + | 0.0273015i | ||||
\(528\) | 0.562934 | + | 0.102590i | 0.0244985 | + | 0.00446466i | ||||
\(529\) | 10.1848 | 0.442816 | ||||||||
\(530\) | 9.88730 | − | 0.925461i | 0.429477 | − | 0.0401995i | ||||
\(531\) | 1.73678 | − | 4.60680i | 0.0753700 | − | 0.199918i | ||||
\(532\) | −10.1652 | + | 5.86887i | −0.440717 | + | 0.254448i | ||||
\(533\) | −16.8449 | − | 9.72538i | −0.729632 | − | 0.421253i | ||||
\(534\) | −9.33159 | + | 10.9924i | −0.403818 | + | 0.475688i | ||||
\(535\) | −16.6034 | + | 11.7765i | −0.717829 | + | 0.509143i | ||||
\(536\) | 5.38440 | − | 3.10868i | 0.232571 | − | 0.134275i | ||||
\(537\) | 15.2182 | + | 42.5692i | 0.656715 | + | 1.83700i | ||||
\(538\) | −10.3372 | − | 17.9046i | −0.445669 | − | 0.771921i | ||||
\(539\) | −0.527116 | + | 0.912992i | −0.0227045 | + | 0.0393253i | ||||
\(540\) | −6.55802 | − | 9.59126i | −0.282212 | − | 0.412742i | ||||
\(541\) | 8.74210 | − | 15.1418i | 0.375852 | − | 0.650995i | −0.614602 | − | 0.788837i | \(-0.710683\pi\) |
0.990454 | + | 0.137842i | \(0.0440167\pi\) | |||||||
\(542\) | − | 4.19858i | − | 0.180344i | ||||||
\(543\) | −0.226168 | + | 1.24104i | −0.00970582 | + | 0.0532579i | ||||
\(544\) | 1.39586 | + | 0.805898i | 0.0598468 | + | 0.0345526i | ||||
\(545\) | −15.4617 | − | 7.09609i | −0.662305 | − | 0.303963i | ||||
\(546\) | −11.7993 | − | 10.0166i | −0.504964 | − | 0.428670i | ||||
\(547\) | 15.7800 | − | 9.11061i | 0.674706 | − | 0.389542i | −0.123152 | − | 0.992388i | \(-0.539300\pi\) |
0.797857 | + | 0.602846i | \(0.205967\pi\) | |||||||
\(548\) | −8.94523 | + | 5.16453i | −0.382121 | + | 0.220618i | ||||
\(549\) | 6.42561 | − | 1.05722i | 0.274238 | − | 0.0451213i | ||||
\(550\) | 0.546092 | − | 1.55893i | 0.0232855 | − | 0.0664732i | ||||
\(551\) | 17.4470 | − | 30.2190i | 0.743266 | − | 1.28737i | ||||
\(552\) | −4.72691 | − | 4.01273i | −0.201191 | − | 0.170793i | ||||
\(553\) | −2.61620 | − | 4.53139i | −0.111252 | − | 0.192694i | ||||
\(554\) | 17.0716 | 0.725302 | ||||||||
\(555\) | −1.56106 | + | 17.9115i | −0.0662631 | + | 0.760299i | ||||
\(556\) | 15.5578i | 0.659796i | ||||||||
\(557\) | − | 29.3983i | − | 1.24565i | −0.782362 | − | 0.622824i | \(-0.785985\pi\) | ||
0.782362 | − | 0.622824i | \(-0.214015\pi\) | |||||||
\(558\) | −9.66130 | − | 13.6257i | −0.408995 | − | 0.576821i | ||||
\(559\) | −47.4339 | −2.00624 | ||||||||
\(560\) | −2.52470 | − | 3.55952i | −0.106688 | − | 0.150417i | ||||
\(561\) | 0.703097 | + | 0.596868i | 0.0296848 | + | 0.0251998i | ||||
\(562\) | 30.4242i | 1.28337i | ||||||||
\(563\) | 17.4816 | + | 30.2789i | 0.736760 | + | 1.27611i | 0.953947 | + | 0.299975i | \(0.0969785\pi\) |
−0.217187 | + | 0.976130i | \(0.569688\pi\) | |||||||
\(564\) | −10.5203 | + | 12.3927i | −0.442986 | + | 0.521828i | ||||
\(565\) | 0.482124 | + | 5.15085i | 0.0202831 | + | 0.216698i | ||||
\(566\) | − | 3.94960i | − | 0.166014i | ||||||
\(567\) | −17.2234 | − | 3.44574i | −0.723314 | − | 0.144708i | ||||
\(568\) | 0.0180409 | − | 0.0104159i | 0.000756980 | − | 0.000437043i | ||||
\(569\) | 6.11901 | + | 10.5984i | 0.256522 | + | 0.444309i | 0.965308 | − | 0.261114i | \(-0.0840900\pi\) |
−0.708786 | + | 0.705424i | \(0.750757\pi\) | |||||||
\(570\) | −2.02245 | + | 23.2054i | −0.0847109 | + | 0.971968i | ||||
\(571\) | 1.55963 | − | 0.900452i | 0.0652684 | − | 0.0376827i | −0.467011 | − | 0.884252i | \(-0.654669\pi\) |
0.532279 | + | 0.846569i | \(0.321336\pi\) | |||||||
\(572\) | 0.756320 | − | 1.30998i | 0.0316233 | − | 0.0547732i | ||||
\(573\) | 7.48436 | − | 41.0683i | 0.312663 | − | 1.71565i | ||||
\(574\) | −8.29068 | −0.346046 | ||||||||
\(575\) | −13.5711 | + | 11.6708i | −0.565953 | + | 0.486705i | ||||
\(576\) | −0.487050 | − | 2.96020i | −0.0202938 | − | 0.123342i | ||||
\(577\) | 27.9526 | + | 16.1384i | 1.16368 | + | 0.671851i | 0.952183 | − | 0.305528i | \(-0.0988329\pi\) |
0.211497 | + | 0.977379i | \(0.432166\pi\) | |||||||
\(578\) | −7.20106 | − | 12.4726i | −0.299525 | − | 0.518792i | ||||
\(579\) | 18.7510 | − | 6.70339i | 0.779267 | − | 0.278583i | ||||
\(580\) | 11.7908 | + | 5.41134i | 0.489585 | + | 0.224694i | ||||
\(581\) | 28.7766 | 1.19385 | ||||||||
\(582\) | −2.40622 | − | 2.04267i | −0.0997412 | − | 0.0846715i | ||||
\(583\) | 1.27060 | + | 0.733581i | 0.0526229 | + | 0.0303818i | ||||
\(584\) | 1.98018 | + | 3.42977i | 0.0819404 | + | 0.141925i | ||||
\(585\) | −29.7109 | + | 7.78935i | −1.22839 | + | 0.322050i | ||||
\(586\) | −7.39011 | + | 12.8000i | −0.305282 | + | 0.528765i | ||||
\(587\) | 35.8198i | 1.47844i | 0.673464 | + | 0.739220i | \(0.264806\pi\) | ||||
−0.673464 | + | 0.739220i | \(0.735194\pi\) | |||||||
\(588\) | 5.43764 | + | 0.990965i | 0.224245 | + | 0.0408667i | ||||
\(589\) | −2.33867 | + | 33.4046i | −0.0963631 | + | 1.37641i | ||||
\(590\) | −2.12299 | − | 2.99316i | −0.0874023 | − | 0.123227i | ||||
\(591\) | 8.37917 | − | 45.9783i | 0.344673 | − | 1.89130i | ||||
\(592\) | −2.32112 | + | 4.02031i | −0.0953976 | + | 0.165234i | ||||
\(593\) | 10.9478 | 0.449570 | 0.224785 | − | 0.974408i | \(-0.427832\pi\) | ||||
0.224785 | + | 0.974408i | \(0.427832\pi\) | |||||||
\(594\) | 0.0295098 | − | 1.71636i | 0.00121080 | − | 0.0704232i | ||||
\(595\) | −0.655510 | − | 7.00324i | −0.0268733 | − | 0.287105i | ||||
\(596\) | 6.57925 | + | 3.79853i | 0.269497 | + | 0.155594i | ||||
\(597\) | −6.01800 | + | 33.0221i | −0.246300 | + | 1.35150i | ||||
\(598\) | −14.1951 | + | 8.19554i | −0.580480 | + | 0.335141i | ||||
\(599\) | −3.30821 | + | 1.91000i | −0.135170 | + | 0.0780403i | −0.566060 | − | 0.824364i | \(-0.691533\pi\) |
0.430890 | + | 0.902404i | \(0.358200\pi\) | |||||||
\(600\) | −8.66008 | + | 0.0553790i | −0.353546 | + | 0.00226084i | ||||
\(601\) | −38.3932 | − | 22.1663i | −1.56609 | − | 0.904183i | −0.996618 | − | 0.0821717i | \(-0.973814\pi\) |
−0.569472 | − | 0.822011i | \(-0.692852\pi\) | |||||||
\(602\) | −17.5095 | + | 10.1091i | −0.713634 | + | 0.412017i | ||||
\(603\) | −11.8248 | − | 14.4248i | −0.481543 | − | 0.587423i | ||||
\(604\) | − | 12.8565i | − | 0.523123i | ||||||
\(605\) | −19.8635 | + | 14.0888i | −0.807567 | + | 0.572792i | ||||
\(606\) | 1.01092 | + | 0.858183i | 0.0410659 | + | 0.0348613i | ||||
\(607\) | 17.8704 | − | 10.3175i | 0.725337 | − | 0.418774i | −0.0913767 | − | 0.995816i | \(-0.529127\pi\) |
0.816714 | + | 0.577043i | \(0.195793\pi\) | |||||||
\(608\) | −3.00716 | + | 5.20856i | −0.121957 | + | 0.211235i | ||||
\(609\) | 18.4674 | − | 6.60198i | 0.748336 | − | 0.267526i | ||||
\(610\) | 2.02458 | − | 4.41136i | 0.0819729 | − | 0.178611i | ||||
\(611\) | 21.4865 | + | 37.2158i | 0.869253 | + | 1.50559i | ||||
\(612\) | 1.70577 | − | 4.52452i | 0.0689515 | − | 0.182893i | ||||
\(613\) | 13.7205 | − | 23.7646i | 0.554165 | − | 0.959842i | −0.443803 | − | 0.896124i | \(-0.646371\pi\) |
0.997968 | − | 0.0637178i | \(-0.0202957\pi\) | |||||||
\(614\) | −11.2636 | − | 6.50301i | −0.454560 | − | 0.262440i | ||||
\(615\) | −9.43242 | + | 13.4804i | −0.380352 | + | 0.543583i | ||||
\(616\) | − | 0.644747i | − | 0.0259776i | ||||||
\(617\) | 16.5097 | − | 28.5956i | 0.664655 | − | 1.15122i | −0.314724 | − | 0.949183i | \(-0.601912\pi\) |
0.979379 | − | 0.202033i | \(-0.0647548\pi\) | |||||||
\(618\) | 2.96712 | − | 16.2812i | 0.119355 | − | 0.654927i | ||||
\(619\) | 44.0193i | 1.76928i | 0.466271 | + | 0.884642i | \(0.345597\pi\) | ||||
−0.466271 | + | 0.884642i | \(0.654403\pi\) | |||||||
\(620\) | −12.4465 | + | 0.291708i | −0.499863 | + | 0.0117153i | ||||
\(621\) | −9.57625 | + | 15.9470i | −0.384281 | + | 0.639931i | ||||
\(622\) | − | 24.9699i | − | 1.00120i | ||||||
\(623\) | 14.0704 | + | 8.12357i | 0.563720 | + | 0.325464i | ||||
\(624\) | −7.80208 | − | 1.42186i | −0.312333 | − | 0.0569201i | ||||
\(625\) | −3.74294 | + | 24.7182i | −0.149718 | + | 0.988729i | ||||
\(626\) | −6.43179 | + | 11.1402i | −0.257066 | + | 0.445251i | ||||
\(627\) | −2.22718 | + | 2.62357i | −0.0889449 | + | 0.104775i | ||||
\(628\) | − | 18.5672i | − | 0.740912i | ||||||
\(629\) | −6.47991 | + | 3.74118i | −0.258371 | + | 0.149171i | ||||
\(630\) | −9.30724 | + | 9.20729i | −0.370809 | + | 0.366827i | ||||
\(631\) | −4.56897 | + | 2.63789i | −0.181888 | + | 0.105013i | −0.588179 | − | 0.808731i | \(-0.700155\pi\) |
0.406292 | + | 0.913743i | \(0.366822\pi\) | |||||||
\(632\) | −2.32185 | − | 1.34052i | −0.0923581 | − | 0.0533230i | ||||
\(633\) | −3.86021 | − | 10.7980i | −0.153430 | − | 0.429181i | ||||
\(634\) | −6.81198 | + | 11.7987i | −0.270538 | + | 0.468586i | ||||
\(635\) | −18.4847 | + | 13.1108i | −0.733541 | + | 0.520287i | ||||
\(636\) | 1.37912 | − | 7.56751i | 0.0546855 | − | 0.300071i | ||||
\(637\) | 7.30565 | − | 12.6538i | 0.289460 | − | 0.501360i | ||||
\(638\) | 0.958351 | + | 1.65991i | 0.0379415 | + | 0.0657166i | ||||
\(639\) | −0.0396201 | − | 0.0483317i | −0.00156735 | − | 0.00191197i | ||||
\(640\) | −2.03226 | − | 0.932700i | −0.0803320 | − | 0.0368682i | ||||
\(641\) | −8.67612 | − | 15.0275i | −0.342686 | − | 0.593550i | 0.642245 | − | 0.766500i | \(-0.278003\pi\) |
−0.984931 | + | 0.172950i | \(0.944670\pi\) | |||||||
\(642\) | 5.30783 | + | 14.8473i | 0.209483 | + | 0.585977i | ||||
\(643\) | −3.50937 | −0.138396 | −0.0691980 | − | 0.997603i | \(-0.522044\pi\) | ||||
−0.0691980 | + | 0.997603i | \(0.522044\pi\) | |||||||
\(644\) | −3.49326 | + | 6.05051i | −0.137654 | + | 0.238423i | ||||
\(645\) | −3.48365 | + | 39.9712i | −0.137169 | + | 1.57387i | ||||
\(646\) | −8.39513 | + | 4.84693i | −0.330302 | + | 0.190700i | ||||
\(647\) | 16.2327i | 0.638172i | 0.947726 | + | 0.319086i | \(0.103376\pi\) | ||||
−0.947726 | + | 0.319086i | \(0.896624\pi\) | |||||||
\(648\) | −8.52556 | + | 2.88353i | −0.334916 | + | 0.113276i | ||||
\(649\) | − | 0.542161i | − | 0.0212817i | ||||||
\(650\) | −7.56866 | + | 21.6063i | −0.296867 | + | 0.847469i | ||||
\(651\) | −13.1526 | + | 13.4624i | −0.515489 | + | 0.527631i | ||||
\(652\) | − | 10.2734i | − | 0.402336i | ||||||
\(653\) | −8.99314 | −0.351929 | −0.175964 | − | 0.984397i | \(-0.556304\pi\) | ||||
−0.175964 | + | 0.984397i | \(0.556304\pi\) | |||||||
\(654\) | −8.52814 | + | 10.0460i | −0.333477 | + | 0.392828i | ||||
\(655\) | 11.9435 | + | 16.8389i | 0.466671 | + | 0.657949i | ||||
\(656\) | −3.67894 | + | 2.12404i | −0.143639 | + | 0.0829298i | ||||
\(657\) | 9.18836 | − | 7.53220i | 0.358472 | − | 0.293859i | ||||
\(658\) | 15.8628 | + | 9.15842i | 0.618398 | + | 0.357032i | ||||
\(659\) | 48.8063i | 1.90122i | 0.310382 | + | 0.950612i | \(0.399543\pi\) | ||||
−0.310382 | + | 0.950612i | \(0.600457\pi\) | |||||||
\(660\) | −1.04834 | − | 0.733537i | −0.0408066 | − | 0.0285529i | ||||
\(661\) | −12.1080 | − | 20.9716i | −0.470946 | − | 0.815702i | 0.528502 | − | 0.848932i | \(-0.322754\pi\) |
−0.999448 | + | 0.0332300i | \(0.989421\pi\) | |||||||
\(662\) | 13.3530 | − | 7.70937i | 0.518980 | − | 0.299633i | ||||
\(663\) | −9.74470 | − | 8.27239i | −0.378453 | − | 0.321273i | ||||
\(664\) | 12.7695 | − | 7.37245i | 0.495551 | − | 0.286106i | ||||
\(665\) | 26.1322 | − | 2.44600i | 1.01336 | − | 0.0948517i | ||||
\(666\) | 13.0314 | + | 4.91290i | 0.504957 | + | 0.190371i | ||||
\(667\) | − | 20.7695i | − | 0.804199i | ||||||
\(668\) | 13.1917 | + | 7.61625i | 0.510403 | + | 0.294682i | ||||
\(669\) | 9.73070 | + | 27.2192i | 0.376211 | + | 1.05235i | ||||
\(670\) | −13.8420 | + | 1.29562i | −0.534761 | + | 0.0500542i | ||||
\(671\) | 0.621034 | − | 0.358554i | 0.0239748 | − | 0.0138418i | ||||
\(672\) | −3.18304 | + | 1.13792i | −0.122788 | + | 0.0438961i | ||||
\(673\) | 5.78371 | + | 10.0177i | 0.222945 | + | 0.386153i | 0.955701 | − | 0.294339i | \(-0.0950995\pi\) |
−0.732756 | + | 0.680492i | \(0.761766\pi\) | |||||||
\(674\) | 8.19338 | 0.315597 | ||||||||
\(675\) | 4.38183 | + | 25.6086i | 0.168657 | + | 0.985675i | ||||
\(676\) | −3.98235 | + | 6.89762i | −0.153167 | + | 0.265293i | ||||
\(677\) | −30.6277 | + | 17.6829i | −1.17712 | + | 0.679609i | −0.955346 | − | 0.295490i | \(-0.904517\pi\) |
−0.221771 | + | 0.975099i | \(0.571184\pi\) | |||||||
\(678\) | 3.94234 | + | 0.718458i | 0.151405 | + | 0.0275922i | ||||
\(679\) | −1.77824 | + | 3.08000i | −0.0682425 | + | 0.118199i | ||||
\(680\) | −2.08508 | − | 2.93971i | −0.0799591 | − | 0.112733i | ||||
\(681\) | 31.4403 | + | 5.72974i | 1.20480 | + | 0.219564i | ||||
\(682\) | −1.52483 | − | 1.02870i | −0.0583888 | − | 0.0393908i | ||||
\(683\) | −9.10481 | −0.348386 | −0.174193 | − | 0.984712i | \(-0.555732\pi\) | ||||
−0.174193 | + | 0.984712i | \(0.555732\pi\) | |||||||
\(684\) | 16.8830 | + | 6.36497i | 0.645538 | + | 0.243371i | ||||
\(685\) | 22.9960 | − | 2.15244i | 0.878630 | − | 0.0822406i | ||||
\(686\) | − | 19.8893i | − | 0.759379i | ||||||
\(687\) | −17.9678 | + | 6.42339i | −0.685515 | + | 0.245068i | ||||
\(688\) | −5.17982 | + | 8.97172i | −0.197479 | + | 0.342043i | ||||
\(689\) | −17.6101 | − | 10.1672i | −0.670891 | − | 0.387339i | ||||
\(690\) | 5.86363 | + | 12.5637i | 0.223224 | + | 0.478292i | ||||
\(691\) | −8.20590 | − | 14.2130i | −0.312167 | − | 0.540690i | 0.666664 | − | 0.745358i | \(-0.267722\pi\) |
−0.978831 | + | 0.204669i | \(0.934388\pi\) | |||||||
\(692\) | 8.51064 | + | 14.7409i | 0.323526 | + | 0.560363i | ||||
\(693\) | −1.90858 | + | 0.314024i | −0.0725010 | + | 0.0119288i | ||||
\(694\) | −22.4803 | − | 12.9790i | −0.853342 | − | 0.492677i | ||||
\(695\) | 14.5107 | − | 31.6174i | 0.550423 | − | 1.19932i | ||||
\(696\) | 6.50340 | − | 7.66086i | 0.246511 | − | 0.290384i | ||||
\(697\) | −6.84703 | −0.259350 | ||||||||
\(698\) | −11.9841 | −0.453607 | ||||||||
\(699\) | 21.7703 | − | 25.6449i | 0.823428 | − | 0.969980i | ||||
\(700\) | 1.81088 | + | 9.58866i | 0.0684449 | + | 0.362417i | ||||
\(701\) | −6.93865 | − | 4.00603i | −0.262069 | − | 0.151306i | 0.363209 | − | 0.931708i | \(-0.381681\pi\) |
−0.625278 | + | 0.780402i | \(0.715014\pi\) | |||||||
\(702\) | −0.408995 | + | 23.7882i | −0.0154365 | + | 0.897828i | ||||
\(703\) | −13.9600 | − | 24.1794i | −0.526511 | − | 0.911944i | ||||
\(704\) | −0.165181 | − | 0.286103i | −0.00622551 | − | 0.0107829i | ||||
\(705\) | 32.9387 | − | 15.3729i | 1.24054 | − | 0.578976i | ||||
\(706\) | 13.6272 | + | 7.86764i | 0.512865 | + | 0.296103i | ||||
\(707\) | 0.747087 | − | 1.29399i | 0.0280971 | − | 0.0486656i | ||||
\(708\) | −2.67658 | + | 0.956862i | −0.100592 | + | 0.0359611i | ||||
\(709\) | − | 25.3806i | − | 0.953188i | −0.879123 | − | 0.476594i | \(-0.841871\pi\) | ||
0.879123 | − | 0.476594i | \(-0.158129\pi\) | |||||||
\(710\) | −0.0463788 | + | 0.00434110i | −0.00174056 | + | 0.000162918i | ||||
\(711\) | −2.83735 | + | 7.52603i | −0.106409 | + | 0.282248i | ||||
\(712\) | 8.32490 | 0.311989 | ||||||||
\(713\) | 8.73599 | + | 17.9152i | 0.327165 | + | 0.670930i | ||||
\(714\) | −5.36011 | − | 0.976836i | −0.200597 | − | 0.0365572i | ||||
\(715\) | −2.75886 | + | 1.95681i | −0.103175 | + | 0.0731804i | ||||
\(716\) | 13.0503 | − | 22.6038i | 0.487714 | − | 0.844745i | ||||
\(717\) | 25.8584 | + | 4.71248i | 0.965699 | + | 0.175991i | ||||
\(718\) | 14.9659 | − | 8.64059i | 0.558524 | − | 0.322464i | ||||
\(719\) | 4.34034 | − | 7.51769i | 0.161867 | − | 0.280363i | −0.773671 | − | 0.633588i | \(-0.781582\pi\) |
0.935538 | + | 0.353225i | \(0.114915\pi\) | |||||||
\(720\) | −1.77117 | + | 6.47016i | −0.0660074 | + | 0.241129i | ||||
\(721\) | −18.6474 | −0.694467 | ||||||||
\(722\) | −8.58604 | − | 14.8715i | −0.319539 | − | 0.553458i | ||||
\(723\) | −45.9531 | + | 16.4280i | −1.70901 | + | 0.610962i | ||||
\(724\) | 0.630738 | − | 0.364157i | 0.0234412 | − | 0.0135338i | ||||
\(725\) | −18.9147 | − | 21.9945i | −0.702475 | − | 0.816855i | ||||
\(726\) | 6.35002 | + | 17.7626i | 0.235671 | + | 0.659232i | ||||
\(727\) | −29.6131 | − | 17.0971i | −1.09829 | − | 0.634098i | −0.162519 | − | 0.986705i | \(-0.551962\pi\) |
−0.935771 | + | 0.352607i | \(0.885295\pi\) | |||||||
\(728\) | 8.93598i | 0.331189i | ||||||||
\(729\) | 12.6882 | + | 23.8329i | 0.469934 | + | 0.882702i | ||||
\(730\) | −0.825288 | − | 8.81709i | −0.0305453 | − | 0.326335i | ||||
\(731\) | −14.4606 | + | 8.34882i | −0.534844 | + | 0.308792i | ||||
\(732\) | −2.86621 | − | 2.43316i | −0.105938 | − | 0.0899321i | ||||
\(733\) | −32.1527 | + | 18.5634i | −1.18759 | + | 0.685654i | −0.957758 | − | 0.287576i | \(-0.907151\pi\) |
−0.229831 | + | 0.973231i | \(0.573817\pi\) | |||||||
\(734\) | 10.2023 | + | 17.6709i | 0.376574 | + | 0.652246i | ||||
\(735\) | −10.1264 | − | 7.08558i | −0.373519 | − | 0.261356i | ||||
\(736\) | 3.57984i | 0.131955i | ||||||||
\(737\) | −1.77881 | − | 1.02699i | −0.0655231 | − | 0.0378298i | ||||
\(738\) | 8.07941 | + | 9.85589i | 0.297407 | + | 0.362800i | ||||
\(739\) | 3.28215 | − | 1.89495i | 0.120736 | − | 0.0697068i | −0.438416 | − | 0.898772i | \(-0.644460\pi\) |
0.559152 | + | 0.829065i | \(0.311127\pi\) | |||||||
\(740\) | 8.46686 | − | 6.00539i | 0.311248 | − | 0.220762i | ||||
\(741\) | 30.8680 | − | 36.3618i | 1.13396 | − | 1.33578i | ||||
\(742\) | −8.66732 | −0.318187 | ||||||||
\(743\) | 20.1548i | 0.739408i | 0.929150 | + | 0.369704i | \(0.120541\pi\) | ||||
−0.929150 | + | 0.369704i | \(0.879459\pi\) | |||||||
\(744\) | −2.38737 | + | 9.34347i | −0.0875252 | + | 0.342548i | ||||
\(745\) | −9.82784 | − | 13.8561i | −0.360064 | − | 0.507647i | ||||
\(746\) | 23.5595i | 0.862575i | ||||||||
\(747\) | −28.0433 | − | 34.2094i | −1.02605 | − | 1.25166i | ||||
\(748\) | − | 0.532478i | − | 0.0194693i | ||||||
\(749\) | 15.3862 | − | 8.88325i | 0.562201 | − | 0.324587i | ||||
\(750\) | 17.6512 | + | 7.96471i | 0.644529 | + | 0.290830i | ||||
\(751\) | −2.10830 | + | 3.65168i | −0.0769329 | + | 0.133252i | −0.901925 | − | 0.431892i | \(-0.857846\pi\) |
0.824992 | + | 0.565144i | \(0.191179\pi\) | |||||||
\(752\) | 9.38539 | 0.342250 | ||||||||
\(753\) | 0.135875 | + | 0.380076i | 0.00495155 | + | 0.0138507i | ||||
\(754\) | −13.2824 | − | 23.0058i | −0.483718 | − | 0.837823i | ||||
\(755\) | −11.9913 | + | 26.1277i | −0.436406 | + | 0.950885i | ||||
\(756\) | 4.91877 | + | 8.86821i | 0.178894 | + | 0.322534i | ||||
\(757\) | −18.5401 | − | 32.1124i | −0.673851 | − | 1.16714i | −0.976803 | − | 0.214139i | \(-0.931306\pi\) |
0.302952 | − | 0.953006i | \(-0.402028\pi\) | |||||||
\(758\) | −3.65423 | + | 6.32930i | −0.132727 | + | 0.229891i | ||||
\(759\) | −0.367256 | + | 2.01521i | −0.0133305 | + | 0.0731475i | ||||
\(760\) | 10.9693 | − | 7.78035i | 0.397900 | − | 0.282223i | ||||
\(761\) | 8.41569 | − | 14.5764i | 0.305068 | − | 0.528394i | −0.672208 | − | 0.740362i | \(-0.734654\pi\) |
0.977277 | + | 0.211968i | \(0.0679873\pi\) | |||||||
\(762\) | 5.90922 | + | 16.5296i | 0.214069 | + | 0.598803i | ||||
\(763\) | 12.8590 | + | 7.42413i | 0.465526 | + | 0.268772i | ||||
\(764\) | −20.8724 | + | 12.0507i | −0.755135 | + | 0.435978i | ||||
\(765\) | −7.68658 | + | 7.60403i | −0.277909 | + | 0.274924i | ||||
\(766\) | −11.0470 | + | 6.37801i | −0.399146 | + | 0.230447i | ||||
\(767\) | 7.51417i | 0.271321i | ||||||||
\(768\) | −1.12093 | + | 1.32043i | −0.0404479 | + | 0.0476468i | ||||
\(769\) | 16.9466 | − | 29.3524i | 0.611110 | − | 1.05847i | −0.379944 | − | 0.925009i | \(-0.624057\pi\) |
0.991054 | − | 0.133464i | \(-0.0426099\pi\) | |||||||
\(770\) | −0.601355 | + | 1.31029i | −0.0216713 | + | 0.0472196i | ||||
\(771\) | 26.8733 | + | 4.89743i | 0.967818 | + | 0.176377i | ||||
\(772\) | −9.95662 | − | 5.74846i | −0.358347 | − | 0.206891i | ||||
\(773\) | − | 9.88908i | − | 0.355685i | −0.984059 | − | 0.177843i | \(-0.943088\pi\) | ||
0.984059 | − | 0.177843i | \(-0.0569118\pi\) | |||||||
\(774\) | 29.0809 | + | 10.9636i | 1.04529 | + | 0.394080i | ||||
\(775\) | 25.5665 | + | 11.0160i | 0.918377 | + | 0.395706i | ||||
\(776\) | 1.82231i | 0.0654171i | ||||||||
\(777\) | 2.81346 | − | 15.4380i | 0.100932 | − | 0.553837i | ||||
\(778\) | 12.1118 | − | 20.9783i | 0.434229 | − | 0.752107i | ||||
\(779\) | − | 25.5493i | − | 0.915399i | ||||||
\(780\) | 14.5297 | + | 10.1666i | 0.520245 | + | 0.364022i | ||||
\(781\) | −0.00596005 | − | 0.00344104i | −0.000213268 | − | 0.000123130i | ||||
\(782\) | −2.88498 | + | 4.99694i | −0.103167 | + | 0.178690i | ||||
\(783\) | −25.8451 | − | 15.5201i | −0.923630 | − | 0.554644i | ||||
\(784\) | −1.59557 | − | 2.76360i | −0.0569845 | − | 0.0987000i | ||||
\(785\) | −17.3176 | + | 37.7334i | −0.618093 | + | 1.34676i | ||||
\(786\) | 15.0579 | − | 5.38310i | 0.537096 | − | 0.192009i | ||||
\(787\) | −14.5035 | + | 25.1208i | −0.516993 | + | 0.895458i | 0.482812 | + | 0.875724i | \(0.339615\pi\) |
−0.999805 | + | 0.0197342i | \(0.993718\pi\) | |||||||
\(788\) | −23.3678 | + | 13.4914i | −0.832443 | + | 0.480611i | ||||
\(789\) | −24.8182 | − | 21.0685i | −0.883551 | − | 0.750057i | ||||
\(790\) | 3.46829 | + | 4.88986i | 0.123396 | + | 0.173974i | ||||
\(791\) | − | 4.51529i | − | 0.160545i | ||||||
\(792\) | −0.766469 | + | 0.628317i | −0.0272353 | + | 0.0223263i | ||||
\(793\) | −8.60733 | + | 4.96944i | −0.305655 | + | 0.176470i | ||||
\(794\) | 8.87940 | + | 5.12652i | 0.315118 | + | 0.181933i | ||||
\(795\) | −9.86093 | + | 14.0928i | −0.349731 | + | 0.499821i | ||||
\(796\) | 16.7830 | − | 9.68967i | 0.594857 | − | 0.343441i | ||||
\(797\) | 37.6492 | − | 21.7368i | 1.33360 | − | 0.769956i | 0.347752 | − | 0.937586i | \(-0.386945\pi\) |
0.985850 | + | 0.167631i | \(0.0536117\pi\) | |||||||
\(798\) | 3.64501 | − | 20.0010i | 0.129032 | − | 0.708026i | ||||
\(799\) | 13.1007 | + | 7.56367i | 0.463468 | + | 0.267583i | ||||
\(800\) | 3.26014 | + | 3.79097i | 0.115263 | + | 0.134031i | ||||
\(801\) | −4.05465 | − | 24.6434i | −0.143264 | − | 0.870730i | ||||
\(802\) | 1.23442 | 0.0435888 | ||||||||
\(803\) | 0.654178 | − | 1.13307i | 0.0230854 | − | 0.0399851i | ||||
\(804\) | −1.93072 | + | 10.5943i | −0.0680914 | + | 0.373632i | ||||
\(805\) | 12.7425 | − | 9.03803i | 0.449115 | − | 0.318549i | ||||
\(806\) | 21.1337 | + | 14.2574i | 0.744402 | + | 0.502195i | ||||
\(807\) | 35.2289 | + | 6.42018i | 1.24012 | + | 0.226001i | ||||
\(808\) | − | 0.765602i | − | 0.0269338i | ||||||
\(809\) | 1.55700 | − | 2.69681i | 0.0547413 | − | 0.0948146i | −0.837356 | − | 0.546658i | \(-0.815900\pi\) |
0.892097 | + | 0.451843i | \(0.149233\pi\) | |||||||
\(810\) | 20.0156 | + | 2.09171i | 0.703277 | + | 0.0734951i | ||||
\(811\) | −15.8602 | − | 27.4707i | −0.556929 | − | 0.964628i | −0.997751 | − | 0.0670340i | \(-0.978646\pi\) |
0.440822 | − | 0.897594i | \(-0.354687\pi\) | |||||||
\(812\) | −9.80600 | − | 5.66150i | −0.344123 | − | 0.198680i | ||||
\(813\) | 5.54391 | + | 4.70630i | 0.194434 | + | 0.165057i | ||||
\(814\) | 1.53363 | 0.0537536 | ||||||||
\(815\) | −9.58196 | + | 20.8781i | −0.335641 | + | 0.731329i | ||||
\(816\) | −2.62878 | + | 0.939773i | −0.0920257 | + | 0.0328986i | ||||
\(817\) | −31.1531 | − | 53.9588i | −1.08991 | − | 1.88778i | ||||
\(818\) | 15.8439 | + | 9.14748i | 0.553969 | + | 0.319834i | ||||
\(819\) | 26.4523 | − | 4.35227i | 0.924318 | − | 0.152081i | ||||
\(820\) | 9.45765 | − | 0.885245i | 0.330275 | − | 0.0309141i | ||||
\(821\) | 1.35963 | 0.0474514 | 0.0237257 | − | 0.999719i | \(-0.492447\pi\) | ||||
0.0237257 | + | 0.999719i | \(0.492447\pi\) | |||||||
\(822\) | 3.20756 | − | 17.6006i | 0.111876 | − | 0.613890i | ||||
\(823\) | 4.14634 | − | 7.18168i | 0.144532 | − | 0.250338i | −0.784666 | − | 0.619919i | \(-0.787166\pi\) |
0.929198 | + | 0.369581i | \(0.120499\pi\) | |||||||
\(824\) | −8.27469 | + | 4.77739i | −0.288262 | + | 0.166428i | ||||
\(825\) | 1.44633 | + | 2.46852i | 0.0503547 | + | 0.0859430i | ||||
\(826\) | 1.60142 | + | 2.77374i | 0.0557204 | + | 0.0965106i | ||||
\(827\) | 0.176663 | − | 0.101997i | 0.00614319 | − | 0.00354677i | −0.496925 | − | 0.867793i | \(-0.665538\pi\) |
0.503068 | + | 0.864247i | \(0.332204\pi\) | |||||||
\(828\) | 10.5970 | − | 1.74356i | 0.368272 | − | 0.0605929i | ||||
\(829\) | − | 3.74903i | − | 0.130209i | −0.997878 | − | 0.0651046i | \(-0.979262\pi\) | ||
0.997878 | − | 0.0651046i | \(-0.0207381\pi\) | |||||||
\(830\) | −32.8271 | + | 3.07265i | −1.13945 | + | 0.106653i | ||||
\(831\) | −19.1360 | + | 22.5417i | −0.663819 | + | 0.781965i | ||||
\(832\) | 2.28936 | + | 3.96529i | 0.0793693 | + | 0.137472i | ||||
\(833\) | − | 5.14345i | − | 0.178210i | ||||||
\(834\) | −20.5429 | − | 17.4391i | −0.711342 | − | 0.603867i | ||||
\(835\) | −19.7053 | − | 27.7821i | −0.681931 | − | 0.961439i | ||||
\(836\) | 1.98691 | 0.0687187 | ||||||||
\(837\) | 28.8213 | + | 2.51635i | 0.996210 | + | 0.0869778i | ||||
\(838\) | 33.5368i | 1.15851i | ||||||||
\(839\) | − | 32.5879i | − | 1.12506i | −0.826777 | − | 0.562529i | \(-0.809828\pi\) | ||
0.826777 | − | 0.562529i | \(-0.190172\pi\) | |||||||
\(840\) | 7.53009 | + | 0.656278i | 0.259813 | + | 0.0226438i | ||||
\(841\) | 4.66096 | 0.160723 | ||||||||
\(842\) | −16.7516 | − | 29.0146i | −0.577298 | − | 0.999909i | ||||
\(843\) | −40.1729 | − | 34.1032i | −1.38363 | − | 1.17458i | ||||
\(844\) | −3.31031 | + | 5.73362i | −0.113945 | + | 0.197359i | ||||
\(845\) | 14.5266 | − | 10.3034i | 0.499729 | − | 0.354448i | ||||
\(846\) | −4.57116 | − | 27.7826i | −0.157160 | − | 0.955187i | ||||
\(847\) | 18.4073 | − | 10.6275i | 0.632483 | − | 0.365164i | ||||
\(848\) | −3.84607 | + | 2.22053i | −0.132075 | + | 0.0762534i | ||||
\(849\) | 5.21515 | + | 4.42721i | 0.178984 | + | 0.151941i | ||||
\(850\) | 1.49555 | + | 7.91899i | 0.0512971 | + | 0.271619i | ||||
\(851\) | −14.3920 | − | 8.30925i | −0.493353 | − | 0.284837i | ||||
\(852\) | −0.00646907 | + | 0.0354972i | −0.000221627 | + | 0.00121611i | ||||
\(853\) | − | 25.4205i | − | 0.870380i | −0.900339 | − | 0.435190i | \(-0.856681\pi\) | ||
0.900339 | − | 0.435190i | \(-0.143319\pi\) | |||||||
\(854\) | −2.11817 | + | 3.66878i | −0.0724824 | + | 0.125543i | ||||
\(855\) | −28.3740 | − | 28.6820i | −0.970371 | − | 0.980905i | ||||
\(856\) | 4.55170 | − | 7.88378i | 0.155574 | − | 0.269462i | ||||
\(857\) | 13.2267 | + | 22.9092i | 0.451814 | + | 0.782565i | 0.998499 | − | 0.0547736i | \(-0.0174437\pi\) |
−0.546685 | + | 0.837339i | \(0.684110\pi\) | |||||||
\(858\) | 0.881959 | + | 2.46706i | 0.0301096 | + | 0.0842241i | ||||
\(859\) | −2.82489 | + | 1.63095i | −0.0963839 | + | 0.0556473i | −0.547417 | − | 0.836860i | \(-0.684389\pi\) |
0.451033 | + | 0.892507i | \(0.351056\pi\) | |||||||
\(860\) | 18.8947 | − | 13.4016i | 0.644302 | − | 0.456991i | ||||
\(861\) | 9.29324 | − | 10.9472i | 0.316713 | − | 0.373081i | ||||
\(862\) | −1.74288 | − | 1.00625i | −0.0593627 | − | 0.0342731i | ||||
\(863\) | 22.5302 | − | 13.0078i | 0.766937 | − | 0.442791i | −0.0648441 | − | 0.997895i | \(-0.520655\pi\) |
0.831781 | + | 0.555104i | \(0.187322\pi\) | |||||||
\(864\) | 4.45467 | + | 2.67505i | 0.151551 | + | 0.0910071i | ||||
\(865\) | −3.54702 | − | 37.8951i | −0.120602 | − | 1.28847i | ||||
\(866\) | −29.3924 | −0.998794 | ||||||||
\(867\) | 24.5410 | + | 4.47239i | 0.833456 | + | 0.151890i | ||||
\(868\) | 10.8397 | + | 0.758891i | 0.367923 | + | 0.0257584i | ||||
\(869\) | 0.885715i | 0.0300458i | ||||||||
\(870\) | −20.3619 | + | 9.50312i | −0.690332 | + | 0.322186i | ||||
\(871\) | 24.6537 | + | 14.2338i | 0.835357 | + | 0.482294i | ||||
\(872\) | 7.60812 | 0.257644 | ||||||||
\(873\) | 5.39440 | − | 0.887556i | 0.182573 | − | 0.0300392i | ||||
\(874\) | −18.6458 | − | 10.7652i | −0.630703 | − | 0.364137i | ||||
\(875\) | 5.26316 | − | 21.1756i | 0.177927 | − | 0.715867i | ||||
\(876\) | −6.74839 | − | 1.22984i | −0.228007 | − | 0.0415524i | ||||
\(877\) | −2.37350 | + | 1.37034i | −0.0801473 | + | 0.0462731i | −0.539538 | − | 0.841961i | \(-0.681401\pi\) |
0.459391 | + | 0.888234i | \(0.348068\pi\) | |||||||
\(878\) | −7.51591 | − | 13.0179i | −0.253650 | − | 0.439334i | ||||
\(879\) | −8.61775 | − | 24.1060i | −0.290669 | − | 0.813075i | ||||
\(880\) | 0.0688434 | + | 0.735499i | 0.00232071 | + | 0.0247937i | ||||
\(881\) | −8.45408 | − | 14.6429i | −0.284825 | − | 0.493331i | 0.687742 | − | 0.725955i | \(-0.258602\pi\) |
−0.972567 | + | 0.232624i | \(0.925269\pi\) | |||||||
\(882\) | −7.40369 | + | 6.06921i | −0.249295 | + | 0.204361i | ||||
\(883\) | 25.2714 | 0.850451 | 0.425225 | − | 0.905087i | \(-0.360195\pi\) | ||||
0.425225 | + | 0.905087i | \(0.360195\pi\) | |||||||
\(884\) | 7.37996i | 0.248215i | ||||||||
\(885\) | 6.33197 | + | 0.551857i | 0.212847 | + | 0.0185505i | ||||
\(886\) | 17.7288 | + | 30.7072i | 0.595612 | + | 1.03163i | ||||
\(887\) | 17.0768 | − | 29.5779i | 0.573383 | − | 0.993129i | −0.422832 | − | 0.906208i | \(-0.638964\pi\) |
0.996215 | − | 0.0869208i | \(-0.0277027\pi\) | |||||||
\(888\) | −2.70671 | − | 7.57134i | −0.0908312 | − | 0.254077i | ||||
\(889\) | 17.1296 | − | 9.88975i | 0.574507 | − | 0.331692i | ||||
\(890\) | −16.9183 | − | 7.76463i | −0.567104 | − | 0.260271i | ||||
\(891\) | 2.23325 | + | 1.96288i | 0.0748168 | + | 0.0657590i | ||||
\(892\) | 8.34451 | − | 14.4531i | 0.279395 | − | 0.483926i | ||||
\(893\) | −28.2234 | + | 48.8843i | −0.944460 | + | 1.63585i | ||||
\(894\) | −12.3905 | + | 4.42954i | −0.414401 | + | 0.148146i | ||||
\(895\) | −47.6042 | + | 33.7648i | −1.59123 | + | 1.12863i | ||||
\(896\) | 1.69016 | + | 0.975816i | 0.0564644 | + | 0.0325997i | ||||
\(897\) | 5.09004 | − | 27.9302i | 0.169951 | − | 0.932561i | ||||
\(898\) | −19.8626 | −0.662825 | ||||||||
\(899\) | −29.0350 | + | 14.1583i | −0.968372 | + | 0.472207i | ||||
\(900\) | 9.63418 | − | 11.4971i | 0.321139 | − | 0.383236i | ||||
\(901\) | −7.15809 | −0.238470 | ||||||||
\(902\) | 1.21539 | + | 0.701704i | 0.0404679 | + | 0.0233642i | ||||
\(903\) | 6.27851 | − | 34.4516i | 0.208936 | − | 1.14648i | ||||
\(904\) | −1.15680 | − | 2.00363i | −0.0384746 | − | 0.0666399i | ||||
\(905\) | −1.62147 | + | 0.151771i | −0.0538995 | + | 0.00504505i | ||||
\(906\) | 16.9761 | + | 14.4112i | 0.563992 | + | 0.478779i | ||||
\(907\) | − | 31.6455i | − | 1.05077i | −0.850864 | − | 0.525385i | \(-0.823921\pi\) | ||
0.850864 | − | 0.525385i | \(-0.176079\pi\) | |||||||
\(908\) | −9.22552 | − | 15.9791i | −0.306160 | − | 0.530284i | ||||
\(909\) | −2.26634 | + | 0.372887i | −0.0751696 | + | 0.0123679i | ||||
\(910\) | 8.33459 | − | 18.1602i | 0.276289 | − | 0.602005i | ||||
\(911\) | 17.9166 | − | 31.0324i | 0.593603 | − | 1.02815i | −0.400140 | − | 0.916454i | \(-0.631038\pi\) |
0.993742 | − | 0.111696i | \(-0.0356282\pi\) | |||||||
\(912\) | −3.50671 | − | 9.80914i | −0.116119 | − | 0.324813i | ||||
\(913\) | −4.21855 | − | 2.43558i | −0.139614 | − | 0.0806060i | ||||
\(914\) | 22.1897 | 0.733972 | ||||||||
\(915\) | 3.55547 | + | 7.61811i | 0.117540 | + | 0.251847i | ||||
\(916\) | 9.54074 | + | 5.50835i | 0.315235 | + | 0.182001i | ||||
\(917\) | −9.00922 | − | 15.6044i | −0.297511 | − | 0.515303i | ||||
\(918\) | 4.06226 | + | 7.32400i | 0.134075 | + | 0.241728i | ||||
\(919\) | 6.19060 | + | 10.7224i | 0.204209 | + | 0.353701i | 0.949880 | − | 0.312613i | \(-0.101204\pi\) |
−0.745671 | + | 0.666314i | \(0.767871\pi\) | |||||||
\(920\) | 3.33891 | − | 7.27515i | 0.110081 | − | 0.239855i | ||||
\(921\) | 21.2124 | − | 7.58329i | 0.698971 | − | 0.249878i | ||||
\(922\) | −13.2741 | −0.437158 | ||||||||
\(923\) | 0.0826044 | + | 0.0476917i | 0.00271896 | + | 0.00156979i | ||||
\(924\) | 0.851341 | + | 0.722714i | 0.0280071 | + | 0.0237755i | ||||
\(925\) | −22.8081 | + | 4.30745i | −0.749925 | + | 0.141628i | ||||
\(926\) | 22.6449 | 0.744159 | ||||||||
\(927\) | 18.1722 | + | 22.1679i | 0.596854 | + | 0.728089i | ||||
\(928\) | −5.80181 | −0.190454 | ||||||||
\(929\) | −10.4584 | −0.343128 | −0.171564 | − | 0.985173i | \(-0.554882\pi\) | ||||
−0.171564 | + | 0.985173i | \(0.554882\pi\) | |||||||
\(930\) | 13.5664 | − | 16.7616i | 0.444860 | − | 0.549636i | ||||
\(931\) | 19.1925 | 0.629009 | ||||||||
\(932\) | −19.4217 | −0.636179 | ||||||||
\(933\) | 32.9709 | + | 27.9894i | 1.07942 | + | 0.916332i | ||||
\(934\) | 30.7257 | 1.00538 | ||||||||
\(935\) | −0.496642 | + | 1.08213i | −0.0162419 | + | 0.0353895i | ||||
\(936\) | 10.6230 | − | 8.70826i | 0.347224 | − | 0.284638i | ||||
\(937\) | 44.0293 | + | 25.4203i | 1.43837 | + | 0.830445i | 0.997737 | − | 0.0672408i | \(-0.0214196\pi\) |
0.440636 | + | 0.897686i | \(0.354753\pi\) | |||||||
\(938\) | 12.1340 | 0.396190 | ||||||||
\(939\) | −7.50023 | − | 20.9800i | −0.244761 | − | 0.684657i | ||||
\(940\) | −19.0735 | − | 8.75375i | −0.622110 | − | 0.285516i | ||||
\(941\) | −28.6468 | − | 49.6177i | −0.933858 | − | 1.61749i | −0.776657 | − | 0.629924i | \(-0.783086\pi\) |
−0.157201 | − | 0.987567i | \(-0.550247\pi\) | |||||||
\(942\) | 24.5166 | + | 20.8125i | 0.798795 | + | 0.678107i | ||||
\(943\) | −7.60371 | − | 13.1700i | −0.247611 | − | 0.428875i | ||||
\(944\) | 1.42124 | + | 0.820553i | 0.0462574 | + | 0.0267067i | ||||
\(945\) | −1.72482 | − | 22.6102i | −0.0561084 | − | 0.735511i | ||||
\(946\) | 3.42244 | 0.111273 | ||||||||
\(947\) | 12.7816 | + | 7.37944i | 0.415345 | + | 0.239799i | 0.693084 | − | 0.720857i | \(-0.256252\pi\) |
−0.277739 | + | 0.960657i | \(0.589585\pi\) | |||||||
\(948\) | 4.37267 | − | 1.56320i | 0.142018 | − | 0.0507705i | ||||
\(949\) | −9.06669 | + | 15.7040i | −0.294317 | + | 0.509772i | ||||
\(950\) | −29.5493 | + | 5.58057i | −0.958705 | + | 0.181058i | ||||
\(951\) | −7.94358 | − | 22.2202i | −0.257588 | − | 0.720539i | ||||
\(952\) | 1.57282 | + | 2.72420i | 0.0509753 | + | 0.0882917i | ||||
\(953\) | 31.5523i | 1.02208i | 0.859557 | + | 0.511039i | \(0.170739\pi\) | ||||
−0.859557 | + | 0.511039i | \(0.829261\pi\) | |||||||
\(954\) | 8.44645 | + | 10.3036i | 0.273464 | + | 0.333592i | ||||
\(955\) | 53.6577 | − | 5.02241i | 1.73632 | − | 0.162521i | ||||
\(956\) | −7.58762 | − | 13.1421i | −0.245401 | − | 0.425047i | ||||
\(957\) | −3.26603 | − | 0.595207i | −0.105576 | − | 0.0192403i | ||||
\(958\) | −24.5703 | − | 14.1856i | −0.793829 | − | 0.458317i | ||||
\(959\) | −20.1585 | −0.650953 | ||||||||
\(960\) | 3.50957 | − | 1.63796i | 0.113271 | − | 0.0528649i | ||||
\(961\) | 19.0896 | − | 24.4252i | 0.615793 | − | 0.787908i | ||||
\(962\) | −21.2556 | −0.685307 | ||||||||
\(963\) | −25.5545 | − | 9.63415i | −0.823481 | − | 0.310456i | ||||
\(964\) | 24.4006 | + | 14.0877i | 0.785891 | + | 0.453735i | ||||
\(965\) | 14.8728 | + | 20.9689i | 0.478773 | + | 0.675012i | ||||
\(966\) | −4.07356 | − | 11.3948i | −0.131065 | − | 0.366621i | ||||
\(967\) | −20.7858 | + | 36.0021i | −0.668427 | + | 1.15775i | 0.309917 | + | 0.950764i | \(0.399699\pi\) |
−0.978344 | + | 0.206986i | \(0.933634\pi\) | |||||||
\(968\) | 5.44543 | − | 9.43176i | 0.175023 | − | 0.303148i | ||||
\(969\) | 3.01030 | − | 16.5182i | 0.0967049 | − | 0.530641i | ||||
\(970\) | 1.69967 | − | 3.70340i | 0.0545730 | − | 0.118909i | ||||
\(971\) | 46.6818 | − | 26.9517i | 1.49809 | − | 0.864923i | 0.498092 | − | 0.867124i | \(-0.334034\pi\) |
0.999998 | + | 0.00220154i | \(0.000700772\pi\) | |||||||
\(972\) | 5.74903 | − | 14.4896i | 0.184400 | − | 0.464754i | ||||
\(973\) | −15.1815 | + | 26.2952i | −0.486697 | + | 0.842984i | ||||
\(974\) | −2.36161 | − | 4.09043i | −0.0756709 | − | 0.131066i | ||||
\(975\) | −20.0456 | − | 34.2129i | −0.641974 | − | 1.09569i | ||||
\(976\) | 2.17067i | 0.0694814i | ||||||||
\(977\) | 48.9259 | 1.56528 | 0.782639 | − | 0.622476i | \(-0.213873\pi\) | ||||
0.782639 | + | 0.622476i | \(0.213873\pi\) | |||||||
\(978\) | 13.5652 | + | 11.5157i | 0.433768 | + | 0.368231i | ||||
\(979\) | −1.37512 | − | 2.38178i | −0.0439490 | − | 0.0761219i | ||||
\(980\) | 0.664991 | + | 7.10453i | 0.0212424 | + | 0.226946i | ||||
\(981\) | −3.70554 | − | 22.5216i | −0.118309 | − | 0.719058i | ||||
\(982\) | 6.25568 | + | 10.8352i | 0.199627 | + | 0.345764i | ||||
\(983\) | 22.8627 | − | 13.1998i | 0.729207 | − | 0.421008i | −0.0889250 | − | 0.996038i | \(-0.528343\pi\) |
0.818132 | + | 0.575031i | \(0.195010\pi\) | |||||||
\(984\) | 1.31919 | − | 7.23866i | 0.0420541 | − | 0.230760i | ||||
\(985\) | 60.0728 | − | 5.62287i | 1.91408 | − | 0.179160i | ||||
\(986\) | −8.09849 | − | 4.67566i | −0.257908 | − | 0.148903i | ||||
\(987\) | −29.8741 | + | 10.6798i | −0.950903 | + | 0.339942i | ||||
\(988\) | −27.5379 | −0.876098 | ||||||||
\(989\) | −32.1173 | − | 18.5429i | −1.02127 | − | 0.589631i | ||||
\(990\) | 2.14369 | − | 0.562015i | 0.0681311 | − | 0.0178620i | ||||
\(991\) | − | 7.07855i | − | 0.224857i | −0.993660 | − | 0.112429i | \(-0.964137\pi\) | ||
0.993660 | − | 0.112429i | \(-0.0358630\pi\) | |||||||
\(992\) | 5.00448 | − | 2.44033i | 0.158892 | − | 0.0774806i | ||||
\(993\) | −4.78809 | + | 26.2733i | −0.151946 | + | 0.833759i | ||||
\(994\) | 0.0406561 | 0.00128953 | ||||||||
\(995\) | −43.1449 | + | 4.03841i | −1.36779 | + | 0.128026i | ||||
\(996\) | −4.57884 | + | 25.1251i | −0.145086 | + | 0.796119i | ||||
\(997\) | −30.1116 | + | 17.3849i | −0.953644 | + | 0.550587i | −0.894211 | − | 0.447646i | \(-0.852263\pi\) |
−0.0594332 | + | 0.998232i | \(0.518929\pi\) | |||||||
\(998\) | 19.3605 | + | 11.1778i | 0.612845 | + | 0.353826i | ||||
\(999\) | −21.0944 | + | 11.7000i | −0.667396 | + | 0.370172i |
(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.r.b.119.10 | yes | 64 | |
3.2 | odd | 2 | 930.2.r.a.119.11 | ✓ | 64 | ||
5.4 | even | 2 | 930.2.r.a.119.23 | yes | 64 | ||
15.14 | odd | 2 | inner | 930.2.r.b.119.22 | yes | 64 | |
31.6 | odd | 6 | inner | 930.2.r.b.719.22 | yes | 64 | |
93.68 | even | 6 | 930.2.r.a.719.23 | yes | 64 | ||
155.99 | odd | 6 | 930.2.r.a.719.11 | yes | 64 | ||
465.254 | even | 6 | inner | 930.2.r.b.719.10 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.r.a.119.11 | ✓ | 64 | 3.2 | odd | 2 | ||
930.2.r.a.119.23 | yes | 64 | 5.4 | even | 2 | ||
930.2.r.a.719.11 | yes | 64 | 155.99 | odd | 6 | ||
930.2.r.a.719.23 | yes | 64 | 93.68 | even | 6 | ||
930.2.r.b.119.10 | yes | 64 | 1.1 | even | 1 | trivial | |
930.2.r.b.119.22 | yes | 64 | 15.14 | odd | 2 | inner | |
930.2.r.b.719.10 | yes | 64 | 465.254 | even | 6 | inner | |
930.2.r.b.719.22 | yes | 64 | 31.6 | odd | 6 | inner |