Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(269,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.269");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bb (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.13 | ||
Character | \(\chi\) | \(=\) | 546.269 |
Dual form | 546.2.bb.a.341.32 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 1.03468 | − | 1.38904i | 0.597371 | − | 0.801965i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 0.587127 | + | 1.01693i | 0.262571 | + | 0.454786i | 0.966924 | − | 0.255063i | \(-0.0820963\pi\) |
−0.704353 | + | 0.709850i | \(0.748763\pi\) | |||||||
\(6\) | −1.38904 | − | 1.03468i | −0.567075 | − | 0.422405i | ||||
\(7\) | −0.859975 | − | 2.50209i | −0.325040 | − | 0.945700i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −0.858887 | − | 2.87442i | −0.286296 | − | 0.958141i | ||||
\(10\) | 1.01693 | − | 0.587127i | 0.321583 | − | 0.185666i | ||||
\(11\) | −0.795863 | + | 0.459492i | −0.239962 | + | 0.138542i | −0.615159 | − | 0.788403i | \(-0.710908\pi\) |
0.375197 | + | 0.926945i | \(0.377575\pi\) | |||||||
\(12\) | −1.03468 | + | 1.38904i | −0.298686 | + | 0.400982i | ||||
\(13\) | 0.207654 | − | 3.59957i | 0.0575928 | − | 0.998340i | ||||
\(14\) | −2.50209 | + | 0.859975i | −0.668711 | + | 0.229838i | ||||
\(15\) | 2.02005 | + | 0.236653i | 0.521575 | + | 0.0611034i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −2.17235 | −0.526873 | −0.263436 | − | 0.964677i | \(-0.584856\pi\) | ||||
−0.263436 | + | 0.964677i | \(0.584856\pi\) | |||||||
\(18\) | −2.87442 | + | 0.858887i | −0.677508 | + | 0.202442i | ||||
\(19\) | −0.0258726 | − | 0.0149376i | −0.00593559 | − | 0.00342691i | 0.497029 | − | 0.867734i | \(-0.334424\pi\) |
−0.502965 | + | 0.864307i | \(0.667757\pi\) | |||||||
\(20\) | −0.587127 | − | 1.01693i | −0.131286 | − | 0.227393i | ||||
\(21\) | −4.36531 | − | 1.39431i | −0.952588 | − | 0.304263i | ||||
\(22\) | 0.459492 | + | 0.795863i | 0.0979640 | + | 0.169679i | ||||
\(23\) | − | 2.87353i | − | 0.599173i | −0.954069 | − | 0.299586i | \(-0.903151\pi\) | ||
0.954069 | − | 0.299586i | \(-0.0968487\pi\) | |||||||
\(24\) | 1.38904 | + | 1.03468i | 0.283537 | + | 0.211203i | ||||
\(25\) | 1.81056 | − | 3.13599i | 0.362113 | − | 0.627198i | ||||
\(26\) | −3.59957 | − | 0.207654i | −0.705933 | − | 0.0407243i | ||||
\(27\) | −4.88137 | − | 1.78107i | −0.939421 | − | 0.342767i | ||||
\(28\) | 0.859975 | + | 2.50209i | 0.162520 | + | 0.472850i | ||||
\(29\) | −0.0565664 | − | 0.0326586i | −0.0105041 | − | 0.00606455i | 0.494739 | − | 0.869042i | \(-0.335264\pi\) |
−0.505243 | + | 0.862977i | \(0.668597\pi\) | |||||||
\(30\) | 0.236653 | − | 2.02005i | 0.0432066 | − | 0.368809i | ||||
\(31\) | 3.64262 | + | 2.10307i | 0.654234 | + | 0.377722i | 0.790076 | − | 0.613008i | \(-0.210041\pi\) |
−0.135843 | + | 0.990730i | \(0.543374\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | −0.185207 | + | 1.58091i | −0.0322404 | + | 0.275202i | ||||
\(34\) | 2.17235i | 0.372555i | ||||||||
\(35\) | 2.03954 | − | 2.34358i | 0.344746 | − | 0.396137i | ||||
\(36\) | 0.858887 | + | 2.87442i | 0.143148 | + | 0.479071i | ||||
\(37\) | −2.94317 | −0.483853 | −0.241927 | − | 0.970295i | \(-0.577779\pi\) | ||||
−0.241927 | + | 0.970295i | \(0.577779\pi\) | |||||||
\(38\) | −0.0149376 | + | 0.0258726i | −0.00242319 | + | 0.00419709i | ||||
\(39\) | −4.78510 | − | 4.01283i | −0.766230 | − | 0.642567i | ||||
\(40\) | −1.01693 | + | 0.587127i | −0.160791 | + | 0.0928329i | ||||
\(41\) | 4.01799 | − | 6.95937i | 0.627505 | − | 1.08687i | −0.360546 | − | 0.932742i | \(-0.617410\pi\) |
0.988051 | − | 0.154129i | \(-0.0492571\pi\) | |||||||
\(42\) | −1.39431 | + | 4.36531i | −0.215147 | + | 0.673581i | ||||
\(43\) | 2.74795 | + | 4.75959i | 0.419059 | + | 0.725831i | 0.995845 | − | 0.0910640i | \(-0.0290268\pi\) |
−0.576786 | + | 0.816895i | \(0.695693\pi\) | |||||||
\(44\) | 0.795863 | − | 0.459492i | 0.119981 | − | 0.0692710i | ||||
\(45\) | 2.41882 | − | 2.56108i | 0.360577 | − | 0.381784i | ||||
\(46\) | −2.87353 | −0.423679 | ||||||||
\(47\) | 6.53683 | + | 11.3221i | 0.953495 | + | 1.65150i | 0.737774 | + | 0.675047i | \(0.235877\pi\) |
0.215721 | + | 0.976455i | \(0.430790\pi\) | |||||||
\(48\) | 1.03468 | − | 1.38904i | 0.149343 | − | 0.200491i | ||||
\(49\) | −5.52089 | + | 4.30346i | −0.788698 | + | 0.614781i | ||||
\(50\) | −3.13599 | − | 1.81056i | −0.443496 | − | 0.256052i | ||||
\(51\) | −2.24768 | + | 3.01749i | −0.314739 | + | 0.422534i | ||||
\(52\) | −0.207654 | + | 3.59957i | −0.0287964 | + | 0.499170i | ||||
\(53\) | −1.75697 | − | 1.01439i | −0.241339 | − | 0.139337i | 0.374453 | − | 0.927246i | \(-0.377830\pi\) |
−0.615792 | + | 0.787909i | \(0.711164\pi\) | |||||||
\(54\) | −1.78107 | + | 4.88137i | −0.242373 | + | 0.664271i | ||||
\(55\) | −0.934545 | − | 0.539560i | −0.126014 | − | 0.0727542i | ||||
\(56\) | 2.50209 | − | 0.859975i | 0.334356 | − | 0.114919i | ||||
\(57\) | −0.0475187 | + | 0.0204827i | −0.00629401 | + | 0.00271299i | ||||
\(58\) | −0.0326586 | + | 0.0565664i | −0.00428829 | + | 0.00742753i | ||||
\(59\) | −3.61157 | −0.470187 | −0.235093 | − | 0.971973i | \(-0.575540\pi\) | ||||
−0.235093 | + | 0.971973i | \(0.575540\pi\) | |||||||
\(60\) | −2.02005 | − | 0.236653i | −0.260788 | − | 0.0305517i | ||||
\(61\) | 0.657869 | + | 0.379821i | 0.0842314 | + | 0.0486310i | 0.541524 | − | 0.840685i | \(-0.317847\pi\) |
−0.457293 | + | 0.889316i | \(0.651181\pi\) | |||||||
\(62\) | 2.10307 | − | 3.64262i | 0.267090 | − | 0.462613i | ||||
\(63\) | −6.45344 | + | 4.62094i | −0.813057 | + | 0.582184i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 3.78244 | − | 1.90223i | 0.469154 | − | 0.235943i | ||||
\(66\) | 1.58091 | + | 0.185207i | 0.194597 | + | 0.0227974i | ||||
\(67\) | 6.54101 | + | 11.3294i | 0.799112 | + | 1.38410i | 0.920195 | + | 0.391460i | \(0.128030\pi\) |
−0.121083 | + | 0.992642i | \(0.538637\pi\) | |||||||
\(68\) | 2.17235 | 0.263436 | ||||||||
\(69\) | −3.99146 | − | 2.97318i | −0.480516 | − | 0.357928i | ||||
\(70\) | −2.34358 | − | 2.03954i | −0.280111 | − | 0.243772i | ||||
\(71\) | 8.16075 | − | 4.71161i | 0.968503 | − | 0.559166i | 0.0697237 | − | 0.997566i | \(-0.477788\pi\) |
0.898780 | + | 0.438401i | \(0.144455\pi\) | |||||||
\(72\) | 2.87442 | − | 0.858887i | 0.338754 | − | 0.101221i | ||||
\(73\) | −2.34499 | − | 1.35388i | −0.274460 | − | 0.158460i | 0.356453 | − | 0.934313i | \(-0.383986\pi\) |
−0.630913 | + | 0.775854i | \(0.717319\pi\) | |||||||
\(74\) | 2.94317i | 0.342136i | ||||||||
\(75\) | −2.48268 | − | 5.75969i | −0.286675 | − | 0.665072i | ||||
\(76\) | 0.0258726 | + | 0.0149376i | 0.00296779 | + | 0.00171346i | ||||
\(77\) | 1.83411 | + | 1.59617i | 0.209016 | + | 0.181900i | ||||
\(78\) | −4.01283 | + | 4.78510i | −0.454363 | + | 0.541806i | ||||
\(79\) | 3.71017 | + | 6.42620i | 0.417427 | + | 0.723004i | 0.995680 | − | 0.0928534i | \(-0.0295988\pi\) |
−0.578253 | + | 0.815857i | \(0.696265\pi\) | |||||||
\(80\) | 0.587127 | + | 1.01693i | 0.0656428 | + | 0.113697i | ||||
\(81\) | −7.52463 | + | 4.93761i | −0.836070 | + | 0.548623i | ||||
\(82\) | −6.95937 | − | 4.01799i | −0.768533 | − | 0.443713i | ||||
\(83\) | 11.8735 | 1.30329 | 0.651645 | − | 0.758524i | \(-0.274079\pi\) | ||||
0.651645 | + | 0.758524i | \(0.274079\pi\) | |||||||
\(84\) | 4.36531 | + | 1.39431i | 0.476294 | + | 0.152132i | ||||
\(85\) | −1.27545 | − | 2.20914i | −0.138342 | − | 0.239615i | ||||
\(86\) | 4.75959 | − | 2.74795i | 0.513240 | − | 0.296319i | ||||
\(87\) | −0.103892 | + | 0.0447821i | −0.0111384 | + | 0.00480114i | ||||
\(88\) | −0.459492 | − | 0.795863i | −0.0489820 | − | 0.0848393i | ||||
\(89\) | −10.0347 | −1.06368 | −0.531840 | − | 0.846845i | \(-0.678499\pi\) | ||||
−0.531840 | + | 0.846845i | \(0.678499\pi\) | |||||||
\(90\) | −2.56108 | − | 2.41882i | −0.269962 | − | 0.254966i | ||||
\(91\) | −9.18501 | + | 2.57597i | −0.962851 | + | 0.270035i | ||||
\(92\) | 2.87353i | 0.299586i | ||||||||
\(93\) | 6.69019 | − | 2.88376i | 0.693740 | − | 0.299032i | ||||
\(94\) | 11.3221 | − | 6.53683i | 1.16779 | − | 0.674223i | ||||
\(95\) | − | 0.0350810i | − | 0.00359923i | ||||||
\(96\) | −1.38904 | − | 1.03468i | −0.141769 | − | 0.105601i | ||||
\(97\) | 8.74505 | − | 5.04896i | 0.887925 | − | 0.512644i | 0.0146618 | − | 0.999893i | \(-0.495333\pi\) |
0.873263 | + | 0.487249i | \(0.161999\pi\) | |||||||
\(98\) | 4.30346 | + | 5.52089i | 0.434716 | + | 0.557694i | ||||
\(99\) | 2.00433 | + | 1.89300i | 0.201443 | + | 0.190253i | ||||
\(100\) | −1.81056 | + | 3.13599i | −0.181056 | + | 0.313599i | ||||
\(101\) | −4.42478 | − | 7.66394i | −0.440282 | − | 0.762590i | 0.557429 | − | 0.830225i | \(-0.311788\pi\) |
−0.997710 | + | 0.0676348i | \(0.978455\pi\) | |||||||
\(102\) | 3.01749 | + | 2.24768i | 0.298776 | + | 0.222554i | ||||
\(103\) | 8.65368 | − | 4.99621i | 0.852673 | − | 0.492291i | −0.00887895 | − | 0.999961i | \(-0.502826\pi\) |
0.861552 | + | 0.507670i | \(0.169493\pi\) | |||||||
\(104\) | 3.59957 | + | 0.207654i | 0.352967 | + | 0.0203621i | ||||
\(105\) | −1.14507 | − | 5.25786i | −0.111747 | − | 0.513115i | ||||
\(106\) | −1.01439 | + | 1.75697i | −0.0985261 | + | 0.170652i | ||||
\(107\) | − | 4.08949i | − | 0.395346i | −0.980268 | − | 0.197673i | \(-0.936662\pi\) | ||
0.980268 | − | 0.197673i | \(-0.0633384\pi\) | |||||||
\(108\) | 4.88137 | + | 1.78107i | 0.469710 | + | 0.171383i | ||||
\(109\) | 3.22047 | − | 5.57802i | 0.308465 | − | 0.534277i | −0.669562 | − | 0.742756i | \(-0.733518\pi\) |
0.978027 | + | 0.208479i | \(0.0668514\pi\) | |||||||
\(110\) | −0.539560 | + | 0.934545i | −0.0514450 | + | 0.0891054i | ||||
\(111\) | −3.04523 | + | 4.08819i | −0.289040 | + | 0.388033i | ||||
\(112\) | −0.859975 | − | 2.50209i | −0.0812600 | − | 0.236425i | ||||
\(113\) | 18.3720 | − | 10.6071i | 1.72829 | − | 0.997828i | 0.831207 | − | 0.555963i | \(-0.187650\pi\) |
0.897081 | − | 0.441865i | \(-0.145683\pi\) | |||||||
\(114\) | 0.0204827 | + | 0.0475187i | 0.00191838 | + | 0.00445054i | ||||
\(115\) | 2.92219 | − | 1.68713i | 0.272496 | − | 0.157325i | ||||
\(116\) | 0.0565664 | + | 0.0326586i | 0.00525206 | + | 0.00303228i | ||||
\(117\) | −10.5250 | + | 2.49474i | −0.973040 | + | 0.230638i | ||||
\(118\) | 3.61157i | 0.332472i | ||||||||
\(119\) | 1.86817 | + | 5.43542i | 0.171255 | + | 0.498264i | ||||
\(120\) | −0.236653 | + | 2.02005i | −0.0216033 | + | 0.184405i | ||||
\(121\) | −5.07773 | + | 8.79489i | −0.461612 | + | 0.799536i | ||||
\(122\) | 0.379821 | − | 0.657869i | 0.0343873 | − | 0.0595606i | ||||
\(123\) | −5.50954 | − | 12.7819i | −0.496779 | − | 1.15250i | ||||
\(124\) | −3.64262 | − | 2.10307i | −0.327117 | − | 0.188861i | ||||
\(125\) | 10.1234 | 0.905464 | ||||||||
\(126\) | 4.62094 | + | 6.45344i | 0.411666 | + | 0.574918i | ||||
\(127\) | 0.00158663 | − | 0.00274813i | 0.000140791 | − | 0.000243857i | −0.865955 | − | 0.500122i | \(-0.833289\pi\) |
0.866096 | + | 0.499878i | \(0.166622\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 9.45453 | + | 1.10761i | 0.832425 | + | 0.0975200i | ||||
\(130\) | −1.90223 | − | 3.78244i | −0.166837 | − | 0.331742i | ||||
\(131\) | −3.60456 | − | 6.24329i | −0.314932 | − | 0.545478i | 0.664491 | − | 0.747296i | \(-0.268648\pi\) |
−0.979423 | + | 0.201818i | \(0.935315\pi\) | |||||||
\(132\) | 0.185207 | − | 1.58091i | 0.0161202 | − | 0.137601i | ||||
\(133\) | −0.0151253 | + | 0.0775815i | −0.00131153 | + | 0.00672717i | ||||
\(134\) | 11.3294 | − | 6.54101i | 0.978708 | − | 0.565057i | ||||
\(135\) | −1.05476 | − | 6.00974i | −0.0907790 | − | 0.517236i | ||||
\(136\) | − | 2.17235i | − | 0.186278i | ||||||
\(137\) | 20.5804i | 1.75830i | 0.476542 | + | 0.879151i | \(0.341890\pi\) | ||||
−0.476542 | + | 0.879151i | \(0.658110\pi\) | |||||||
\(138\) | −2.97318 | + | 3.99146i | −0.253094 | + | 0.339776i | ||||
\(139\) | 5.48328 | − | 3.16577i | 0.465085 | − | 0.268517i | −0.249095 | − | 0.968479i | \(-0.580133\pi\) |
0.714180 | + | 0.699962i | \(0.246800\pi\) | |||||||
\(140\) | −2.03954 | + | 2.34358i | −0.172373 | + | 0.198069i | ||||
\(141\) | 22.4905 | + | 2.63480i | 1.89404 | + | 0.221890i | ||||
\(142\) | −4.71161 | − | 8.16075i | −0.395390 | − | 0.684835i | ||||
\(143\) | 1.48871 | + | 2.96018i | 0.124492 | + | 0.247543i | ||||
\(144\) | −0.858887 | − | 2.87442i | −0.0715739 | − | 0.239535i | ||||
\(145\) | − | 0.0766990i | − | 0.00636950i | ||||||
\(146\) | −1.35388 | + | 2.34499i | −0.112048 | + | 0.194073i | ||||
\(147\) | 0.265367 | + | 12.1215i | 0.0218871 | + | 0.999760i | ||||
\(148\) | 2.94317 | 0.241927 | ||||||||
\(149\) | 6.33047 | + | 3.65490i | 0.518612 | + | 0.299421i | 0.736367 | − | 0.676583i | \(-0.236540\pi\) |
−0.217754 | + | 0.976004i | \(0.569873\pi\) | |||||||
\(150\) | −5.75969 | + | 2.48268i | −0.470277 | + | 0.202710i | ||||
\(151\) | −4.87258 | + | 8.43956i | −0.396525 | + | 0.686802i | −0.993295 | − | 0.115611i | \(-0.963117\pi\) |
0.596769 | + | 0.802413i | \(0.296451\pi\) | |||||||
\(152\) | 0.0149376 | − | 0.0258726i | 0.00121160 | − | 0.00209855i | ||||
\(153\) | 1.86581 | + | 6.24426i | 0.150841 | + | 0.504819i | ||||
\(154\) | 1.59617 | − | 1.83411i | 0.128623 | − | 0.147797i | ||||
\(155\) | 4.93907i | 0.396716i | ||||||||
\(156\) | 4.78510 | + | 4.01283i | 0.383115 | + | 0.321283i | ||||
\(157\) | −7.68731 | − | 4.43827i | −0.613514 | − | 0.354213i | 0.160825 | − | 0.986983i | \(-0.448584\pi\) |
−0.774340 | + | 0.632770i | \(0.781918\pi\) | |||||||
\(158\) | 6.42620 | − | 3.71017i | 0.511241 | − | 0.295165i | ||||
\(159\) | −3.22693 | + | 1.39095i | −0.255912 | + | 0.110309i | ||||
\(160\) | 1.01693 | − | 0.587127i | 0.0803956 | − | 0.0464164i | ||||
\(161\) | −7.18983 | + | 2.47116i | −0.566638 | + | 0.194755i | ||||
\(162\) | 4.93761 | + | 7.52463i | 0.387935 | + | 0.591190i | ||||
\(163\) | −1.55883 | + | 2.69997i | −0.122097 | + | 0.211478i | −0.920594 | − | 0.390520i | \(-0.872295\pi\) |
0.798497 | + | 0.601998i | \(0.205629\pi\) | |||||||
\(164\) | −4.01799 | + | 6.95937i | −0.313752 | + | 0.543435i | ||||
\(165\) | −1.71642 | + | 0.739854i | −0.133623 | + | 0.0575976i | ||||
\(166\) | − | 11.8735i | − | 0.921566i | ||||||
\(167\) | 3.69401 | − | 6.39822i | 0.285851 | − | 0.495109i | −0.686964 | − | 0.726691i | \(-0.741057\pi\) |
0.972815 | + | 0.231583i | \(0.0743903\pi\) | |||||||
\(168\) | 1.39431 | − | 4.36531i | 0.107573 | − | 0.336791i | ||||
\(169\) | −12.9138 | − | 1.49493i | −0.993366 | − | 0.114994i | ||||
\(170\) | −2.20914 | + | 1.27545i | −0.169433 | + | 0.0978222i | ||||
\(171\) | −0.0207152 | + | 0.0871986i | −0.00158413 | + | 0.00666824i | ||||
\(172\) | −2.74795 | − | 4.75959i | −0.209529 | − | 0.362916i | ||||
\(173\) | 4.98811 | − | 8.63966i | 0.379239 | − | 0.656861i | −0.611713 | − | 0.791080i | \(-0.709519\pi\) |
0.990952 | + | 0.134219i | \(0.0428525\pi\) | |||||||
\(174\) | 0.0447821 | + | 0.103892i | 0.00339492 | + | 0.00787605i | ||||
\(175\) | −9.40356 | − | 1.83332i | −0.710842 | − | 0.138586i | ||||
\(176\) | −0.795863 | + | 0.459492i | −0.0599905 | + | 0.0346355i | ||||
\(177\) | −3.73681 | + | 5.01664i | −0.280876 | + | 0.377073i | ||||
\(178\) | 10.0347i | 0.752135i | ||||||||
\(179\) | −13.9845 | + | 8.07398i | −1.04525 | + | 0.603477i | −0.921317 | − | 0.388813i | \(-0.872885\pi\) |
−0.123937 | + | 0.992290i | \(0.539552\pi\) | |||||||
\(180\) | −2.41882 | + | 2.56108i | −0.180288 | + | 0.190892i | ||||
\(181\) | − | 11.7575i | − | 0.873927i | −0.899479 | − | 0.436964i | \(-0.856054\pi\) | ||
0.899479 | − | 0.436964i | \(-0.143946\pi\) | |||||||
\(182\) | 2.57597 | + | 9.18501i | 0.190943 | + | 0.680838i | ||||
\(183\) | 1.20827 | − | 0.520817i | 0.0893178 | − | 0.0384999i | ||||
\(184\) | 2.87353 | 0.211840 | ||||||||
\(185\) | −1.72801 | − | 2.99300i | −0.127046 | − | 0.220050i | ||||
\(186\) | −2.88376 | − | 6.69019i | −0.211448 | − | 0.490548i | ||||
\(187\) | 1.72890 | − | 0.998178i | 0.126429 | − | 0.0729940i | ||||
\(188\) | −6.53683 | − | 11.3221i | −0.476748 | − | 0.825751i | ||||
\(189\) | −0.258532 | + | 13.7453i | −0.0188055 | + | 0.999823i | ||||
\(190\) | −0.0350810 | −0.00254504 | ||||||||
\(191\) | −0.971600 | − | 0.560953i | −0.0703025 | − | 0.0405892i | 0.464437 | − | 0.885606i | \(-0.346257\pi\) |
−0.534739 | + | 0.845017i | \(0.679590\pi\) | |||||||
\(192\) | −1.03468 | + | 1.38904i | −0.0746714 | + | 0.100246i | ||||
\(193\) | 8.37481 | + | 14.5056i | 0.602832 | + | 1.04414i | 0.992390 | + | 0.123133i | \(0.0392943\pi\) |
−0.389558 | + | 0.921002i | \(0.627372\pi\) | |||||||
\(194\) | −5.04896 | − | 8.74505i | −0.362494 | − | 0.627858i | ||||
\(195\) | 1.27132 | − | 7.22217i | 0.0910410 | − | 0.517190i | ||||
\(196\) | 5.52089 | − | 4.30346i | 0.394349 | − | 0.307390i | ||||
\(197\) | 18.6511 | + | 10.7682i | 1.32883 | + | 0.767202i | 0.985119 | − | 0.171873i | \(-0.0549817\pi\) |
0.343714 | + | 0.939075i | \(0.388315\pi\) | |||||||
\(198\) | 1.89300 | − | 2.00433i | 0.134529 | − | 0.142442i | ||||
\(199\) | 13.0222i | 0.923122i | 0.887108 | + | 0.461561i | \(0.152710\pi\) | ||||
−0.887108 | + | 0.461561i | \(0.847290\pi\) | |||||||
\(200\) | 3.13599 | + | 1.81056i | 0.221748 | + | 0.128026i | ||||
\(201\) | 22.5048 | + | 2.63648i | 1.58737 | + | 0.185963i | ||||
\(202\) | −7.66394 | + | 4.42478i | −0.539233 | + | 0.311326i | ||||
\(203\) | −0.0330691 | + | 0.169620i | −0.00232099 | + | 0.0119050i | ||||
\(204\) | 2.24768 | − | 3.01749i | 0.157369 | − | 0.211267i | ||||
\(205\) | 9.43628 | 0.659059 | ||||||||
\(206\) | −4.99621 | − | 8.65368i | −0.348102 | − | 0.602931i | ||||
\(207\) | −8.25975 | + | 2.46804i | −0.574092 | + | 0.171541i | ||||
\(208\) | 0.207654 | − | 3.59957i | 0.0143982 | − | 0.249585i | ||||
\(209\) | 0.0274548 | 0.00189909 | ||||||||
\(210\) | −5.25786 | + | 1.14507i | −0.362827 | + | 0.0790172i | ||||
\(211\) | −10.6556 | + | 18.4561i | −0.733562 | + | 1.27057i | 0.221789 | + | 0.975095i | \(0.428810\pi\) |
−0.955351 | + | 0.295472i | \(0.904523\pi\) | |||||||
\(212\) | 1.75697 | + | 1.01439i | 0.120669 | + | 0.0696684i | ||||
\(213\) | 1.89911 | − | 16.2106i | 0.130125 | − | 1.11074i | ||||
\(214\) | −4.08949 | −0.279552 | ||||||||
\(215\) | −3.22679 | + | 5.58897i | −0.220065 | + | 0.381164i | ||||
\(216\) | 1.78107 | − | 4.88137i | 0.121186 | − | 0.332135i | ||||
\(217\) | 2.12950 | − | 10.9227i | 0.144560 | − | 0.741484i | ||||
\(218\) | −5.57802 | − | 3.22047i | −0.377791 | − | 0.218118i | ||||
\(219\) | −4.30690 | + | 1.85646i | −0.291034 | + | 0.125448i | ||||
\(220\) | 0.934545 | + | 0.539560i | 0.0630070 | + | 0.0363771i | ||||
\(221\) | −0.451097 | + | 7.81953i | −0.0303441 | + | 0.525998i | ||||
\(222\) | 4.08819 | + | 3.04523i | 0.274381 | + | 0.204382i | ||||
\(223\) | 20.1451 | + | 11.6308i | 1.34902 | + | 0.778856i | 0.988110 | − | 0.153746i | \(-0.0491337\pi\) |
0.360907 | + | 0.932602i | \(0.382467\pi\) | |||||||
\(224\) | −2.50209 | + | 0.859975i | −0.167178 | + | 0.0574595i | ||||
\(225\) | −10.5692 | − | 2.51087i | −0.704616 | − | 0.167391i | ||||
\(226\) | −10.6071 | − | 18.3720i | −0.705571 | − | 1.22208i | ||||
\(227\) | −23.3571 | −1.55027 | −0.775133 | − | 0.631798i | \(-0.782317\pi\) | ||||
−0.775133 | + | 0.631798i | \(0.782317\pi\) | |||||||
\(228\) | 0.0475187 | − | 0.0204827i | 0.00314701 | − | 0.00135650i | ||||
\(229\) | 3.19792 | − | 1.84632i | 0.211325 | − | 0.122008i | −0.390602 | − | 0.920560i | \(-0.627733\pi\) |
0.601927 | + | 0.798551i | \(0.294400\pi\) | |||||||
\(230\) | −1.68713 | − | 2.92219i | −0.111246 | − | 0.192683i | ||||
\(231\) | 4.11486 | − | 0.896143i | 0.270738 | − | 0.0589619i | ||||
\(232\) | 0.0326586 | − | 0.0565664i | 0.00214414 | − | 0.00371377i | ||||
\(233\) | −7.98666 | + | 4.61110i | −0.523223 | + | 0.302083i | −0.738252 | − | 0.674524i | \(-0.764349\pi\) |
0.215029 | + | 0.976608i | \(0.431015\pi\) | |||||||
\(234\) | 2.49474 | + | 10.5250i | 0.163086 | + | 0.688043i | ||||
\(235\) | −7.67590 | + | 13.2950i | −0.500721 | + | 0.867273i | ||||
\(236\) | 3.61157 | 0.235093 | ||||||||
\(237\) | 12.7651 | + | 1.49545i | 0.829182 | + | 0.0971402i | ||||
\(238\) | 5.43542 | − | 1.86817i | 0.352326 | − | 0.121095i | ||||
\(239\) | − | 13.3075i | − | 0.860788i | −0.902641 | − | 0.430394i | \(-0.858375\pi\) | ||
0.902641 | − | 0.430394i | \(-0.141625\pi\) | |||||||
\(240\) | 2.02005 | + | 0.236653i | 0.130394 | + | 0.0152759i | ||||
\(241\) | − | 25.7424i | − | 1.65821i | −0.559090 | − | 0.829107i | \(-0.688850\pi\) | ||
0.559090 | − | 0.829107i | \(-0.311150\pi\) | |||||||
\(242\) | 8.79489 | + | 5.07773i | 0.565357 | + | 0.326409i | ||||
\(243\) | −0.926997 | + | 15.5609i | −0.0594669 | + | 0.998230i | ||||
\(244\) | −0.657869 | − | 0.379821i | −0.0421157 | − | 0.0243155i | ||||
\(245\) | −7.61780 | − | 3.08769i | −0.486683 | − | 0.197266i | ||||
\(246\) | −12.7819 | + | 5.50954i | −0.814942 | + | 0.351276i | ||||
\(247\) | −0.0591413 | + | 0.0900284i | −0.00376307 | + | 0.00572837i | ||||
\(248\) | −2.10307 | + | 3.64262i | −0.133545 | + | 0.231307i | ||||
\(249\) | 12.2853 | − | 16.4929i | 0.778548 | − | 1.04519i | ||||
\(250\) | − | 10.1234i | − | 0.640259i | ||||||
\(251\) | −15.4915 | − | 26.8320i | −0.977813 | − | 1.69362i | −0.670320 | − | 0.742072i | \(-0.733843\pi\) |
−0.307493 | − | 0.951550i | \(-0.599490\pi\) | |||||||
\(252\) | 6.45344 | − | 4.62094i | 0.406529 | − | 0.291092i | ||||
\(253\) | 1.32036 | + | 2.28694i | 0.0830106 | + | 0.143779i | ||||
\(254\) | −0.00274813 | − | 0.00158663i | −0.000172433 | − | 9.95541e-5i | ||||
\(255\) | −4.38826 | − | 0.514093i | −0.274804 | − | 0.0321937i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −31.2860 | −1.95157 | −0.975784 | − | 0.218735i | \(-0.929807\pi\) | ||||
−0.975784 | + | 0.218735i | \(0.929807\pi\) | |||||||
\(258\) | 1.10761 | − | 9.45453i | 0.0689571 | − | 0.588613i | ||||
\(259\) | 2.53105 | + | 7.36406i | 0.157272 | + | 0.457580i | ||||
\(260\) | −3.78244 | + | 1.90223i | −0.234577 | + | 0.117971i | ||||
\(261\) | −0.0452906 | + | 0.190646i | −0.00280342 | + | 0.0118007i | ||||
\(262\) | −6.24329 | + | 3.60456i | −0.385711 | + | 0.222691i | ||||
\(263\) | 2.83858 | − | 1.63886i | 0.175035 | − | 0.101056i | −0.409923 | − | 0.912120i | \(-0.634444\pi\) |
0.584958 | + | 0.811064i | \(0.301111\pi\) | |||||||
\(264\) | −1.58091 | − | 0.185207i | −0.0972986 | − | 0.0113987i | ||||
\(265\) | − | 2.38230i | − | 0.146343i | ||||||
\(266\) | 0.0775815 | + | 0.0151253i | 0.00475683 | + | 0.000927391i | ||||
\(267\) | −10.3827 | + | 13.9387i | −0.635411 | + | 0.853034i | ||||
\(268\) | −6.54101 | − | 11.3294i | −0.399556 | − | 0.692051i | ||||
\(269\) | −7.84705 | −0.478443 | −0.239222 | − | 0.970965i | \(-0.576892\pi\) | ||||
−0.239222 | + | 0.970965i | \(0.576892\pi\) | |||||||
\(270\) | −6.00974 | + | 1.05476i | −0.365741 | + | 0.0641904i | ||||
\(271\) | − | 11.1613i | − | 0.678000i | −0.940786 | − | 0.339000i | \(-0.889911\pi\) | ||
0.940786 | − | 0.339000i | \(-0.110089\pi\) | |||||||
\(272\) | −2.17235 | −0.131718 | ||||||||
\(273\) | −5.92538 | + | 15.4237i | −0.358621 | + | 0.933483i | ||||
\(274\) | 20.5804 | 1.24331 | ||||||||
\(275\) | 3.32776i | 0.200671i | ||||||||
\(276\) | 3.99146 | + | 2.97318i | 0.240258 | + | 0.178964i | ||||
\(277\) | 19.0907 | 1.14705 | 0.573524 | − | 0.819189i | \(-0.305576\pi\) | ||||
0.573524 | + | 0.819189i | \(0.305576\pi\) | |||||||
\(278\) | −3.16577 | − | 5.48328i | −0.189870 | − | 0.328865i | ||||
\(279\) | 2.91651 | − | 12.2767i | 0.174607 | − | 0.734989i | ||||
\(280\) | 2.34358 | + | 2.03954i | 0.140056 | + | 0.121886i | ||||
\(281\) | 12.3375i | 0.735995i | 0.929827 | + | 0.367997i | \(0.119956\pi\) | ||||
−0.929827 | + | 0.367997i | \(0.880044\pi\) | |||||||
\(282\) | 2.63480 | − | 22.4905i | 0.156900 | − | 1.33929i | ||||
\(283\) | −9.33979 | + | 5.39233i | −0.555193 | + | 0.320541i | −0.751214 | − | 0.660059i | \(-0.770531\pi\) |
0.196021 | + | 0.980600i | \(0.437198\pi\) | |||||||
\(284\) | −8.16075 | + | 4.71161i | −0.484252 | + | 0.279583i | ||||
\(285\) | −0.0487290 | − | 0.0362975i | −0.00288646 | − | 0.00215008i | ||||
\(286\) | 2.96018 | − | 1.48871i | 0.175039 | − | 0.0880291i | ||||
\(287\) | −20.8683 | − | 4.06849i | −1.23182 | − | 0.240155i | ||||
\(288\) | −2.87442 | + | 0.858887i | −0.169377 | + | 0.0506104i | ||||
\(289\) | −12.2809 | −0.722405 | ||||||||
\(290\) | −0.0766990 | −0.00450392 | ||||||||
\(291\) | 2.03508 | − | 17.3713i | 0.119298 | − | 1.01832i | ||||
\(292\) | 2.34499 | + | 1.35388i | 0.137230 | + | 0.0792298i | ||||
\(293\) | −8.93398 | − | 15.4741i | −0.521929 | − | 0.904007i | −0.999675 | − | 0.0255089i | \(-0.991879\pi\) |
0.477746 | − | 0.878498i | \(-0.341454\pi\) | |||||||
\(294\) | 12.1215 | − | 0.265367i | 0.706937 | − | 0.0154765i | ||||
\(295\) | −2.12045 | − | 3.67273i | −0.123457 | − | 0.213835i | ||||
\(296\) | − | 2.94317i | − | 0.171068i | ||||||
\(297\) | 4.70329 | − | 0.825464i | 0.272913 | − | 0.0478983i | ||||
\(298\) | 3.65490 | − | 6.33047i | 0.211723 | − | 0.366714i | ||||
\(299\) | −10.3435 | − | 0.596700i | −0.598178 | − | 0.0345080i | ||||
\(300\) | 2.48268 | + | 5.75969i | 0.143338 | + | 0.332536i | ||||
\(301\) | 9.54575 | − | 10.9687i | 0.550208 | − | 0.632228i | ||||
\(302\) | 8.43956 | + | 4.87258i | 0.485642 | + | 0.280386i | ||||
\(303\) | −15.2238 | − | 1.78349i | −0.874582 | − | 0.102459i | ||||
\(304\) | −0.0258726 | − | 0.0149376i | −0.00148390 | − | 0.000856728i | ||||
\(305\) | 0.892011i | 0.0510764i | ||||||||
\(306\) | 6.24426 | − | 1.86581i | 0.356961 | − | 0.106661i | ||||
\(307\) | 15.9984i | 0.913075i | 0.889704 | + | 0.456537i | \(0.150911\pi\) | ||||
−0.889704 | + | 0.456537i | \(0.849089\pi\) | |||||||
\(308\) | −1.83411 | − | 1.59617i | −0.104508 | − | 0.0909501i | ||||
\(309\) | 2.01382 | − | 17.1898i | 0.114562 | − | 0.977894i | ||||
\(310\) | 4.93907 | 0.280520 | ||||||||
\(311\) | −7.50229 | + | 12.9943i | −0.425416 | + | 0.736842i | −0.996459 | − | 0.0840780i | \(-0.973205\pi\) |
0.571043 | + | 0.820920i | \(0.306539\pi\) | |||||||
\(312\) | 4.01283 | − | 4.78510i | 0.227182 | − | 0.270903i | ||||
\(313\) | −7.96283 | + | 4.59734i | −0.450086 | + | 0.259857i | −0.707866 | − | 0.706346i | \(-0.750342\pi\) |
0.257781 | + | 0.966203i | \(0.417009\pi\) | |||||||
\(314\) | −4.43827 | + | 7.68731i | −0.250466 | + | 0.433820i | ||||
\(315\) | −8.48818 | − | 3.84964i | −0.478255 | − | 0.216903i | ||||
\(316\) | −3.71017 | − | 6.42620i | −0.208713 | − | 0.361502i | ||||
\(317\) | −26.2887 | + | 15.1778i | −1.47652 | + | 0.852470i | −0.999649 | − | 0.0265020i | \(-0.991563\pi\) |
−0.476873 | + | 0.878972i | \(0.658230\pi\) | |||||||
\(318\) | 1.39095 | + | 3.22693i | 0.0780004 | + | 0.180957i | ||||
\(319\) | 0.0600255 | 0.00336078 | ||||||||
\(320\) | −0.587127 | − | 1.01693i | −0.0328214 | − | 0.0568483i | ||||
\(321\) | −5.68048 | − | 4.23130i | −0.317054 | − | 0.236168i | ||||
\(322\) | 2.47116 | + | 7.18983i | 0.137713 | + | 0.400673i | ||||
\(323\) | 0.0562044 | + | 0.0324496i | 0.00312730 | + | 0.00180555i | ||||
\(324\) | 7.52463 | − | 4.93761i | 0.418035 | − | 0.274312i | ||||
\(325\) | −10.9122 | − | 7.16845i | −0.605302 | − | 0.397634i | ||||
\(326\) | 2.69997 | + | 1.55883i | 0.149538 | + | 0.0863357i | ||||
\(327\) | −4.41597 | − | 10.2448i | −0.244203 | − | 0.566540i | ||||
\(328\) | 6.95937 | + | 4.01799i | 0.384267 | + | 0.221857i | ||||
\(329\) | 22.7075 | − | 26.0925i | 1.25190 | − | 1.43853i | ||||
\(330\) | 0.739854 | + | 1.71642i | 0.0407276 | + | 0.0944861i | ||||
\(331\) | −15.1261 | + | 26.1992i | −0.831405 | + | 1.44004i | 0.0655183 | + | 0.997851i | \(0.479130\pi\) |
−0.896924 | + | 0.442185i | \(0.854203\pi\) | |||||||
\(332\) | −11.8735 | −0.651645 | ||||||||
\(333\) | 2.52785 | + | 8.45990i | 0.138525 | + | 0.463600i | ||||
\(334\) | −6.39822 | − | 3.69401i | −0.350095 | − | 0.202127i | ||||
\(335\) | −7.68081 | + | 13.3035i | −0.419647 | + | 0.726850i | ||||
\(336\) | −4.36531 | − | 1.39431i | −0.238147 | − | 0.0760658i | ||||
\(337\) | −15.1212 | −0.823705 | −0.411852 | − | 0.911251i | \(-0.635118\pi\) | ||||
−0.411852 | + | 0.911251i | \(0.635118\pi\) | |||||||
\(338\) | −1.49493 | + | 12.9138i | −0.0813133 | + | 0.702416i | ||||
\(339\) | 4.27538 | − | 36.4943i | 0.232207 | − | 1.98210i | ||||
\(340\) | 1.27545 | + | 2.20914i | 0.0691708 | + | 0.119807i | ||||
\(341\) | −3.86537 | −0.209322 | ||||||||
\(342\) | 0.0871986 | + | 0.0207152i | 0.00471516 | + | 0.00112015i | ||||
\(343\) | 15.5155 | + | 10.1129i | 0.837757 | + | 0.546044i | ||||
\(344\) | −4.75959 | + | 2.74795i | −0.256620 | + | 0.148160i | ||||
\(345\) | 0.680029 | − | 5.80468i | 0.0366115 | − | 0.312514i | ||||
\(346\) | −8.63966 | − | 4.98811i | −0.464471 | − | 0.268162i | ||||
\(347\) | 3.24211i | 0.174046i | 0.996206 | + | 0.0870229i | \(0.0277353\pi\) | ||||
−0.996206 | + | 0.0870229i | \(0.972265\pi\) | |||||||
\(348\) | 0.103892 | − | 0.0447821i | 0.00556921 | − | 0.00240057i | ||||
\(349\) | −8.93794 | − | 5.16032i | −0.478437 | − | 0.276226i | 0.241328 | − | 0.970444i | \(-0.422417\pi\) |
−0.719765 | + | 0.694218i | \(0.755750\pi\) | |||||||
\(350\) | −1.83332 | + | 9.40356i | −0.0979950 | + | 0.502641i | ||||
\(351\) | −7.42471 | + | 17.2010i | −0.396302 | + | 0.918120i | ||||
\(352\) | 0.459492 | + | 0.795863i | 0.0244910 | + | 0.0424197i | ||||
\(353\) | 11.4304 | + | 19.7980i | 0.608377 | + | 1.05374i | 0.991508 | + | 0.130046i | \(0.0415123\pi\) |
−0.383131 | + | 0.923694i | \(0.625154\pi\) | |||||||
\(354\) | 5.01664 | + | 3.73681i | 0.266631 | + | 0.198609i | ||||
\(355\) | 9.58279 | + | 5.53263i | 0.508602 | + | 0.293641i | ||||
\(356\) | 10.0347 | 0.531840 | ||||||||
\(357\) | 9.48298 | + | 3.02893i | 0.501893 | + | 0.160308i | ||||
\(358\) | 8.07398 | + | 13.9845i | 0.426723 | + | 0.739106i | ||||
\(359\) | 0.0612770 | − | 0.0353783i | 0.00323408 | − | 0.00186719i | −0.498382 | − | 0.866957i | \(-0.666072\pi\) |
0.501616 | + | 0.865090i | \(0.332739\pi\) | |||||||
\(360\) | 2.56108 | + | 2.41882i | 0.134981 | + | 0.127483i | ||||
\(361\) | −9.49955 | − | 16.4537i | −0.499977 | − | 0.865985i | ||||
\(362\) | −11.7575 | −0.617960 | ||||||||
\(363\) | 6.96268 | + | 16.1531i | 0.365446 | + | 0.847816i | ||||
\(364\) | 9.18501 | − | 2.57597i | 0.481425 | − | 0.135017i | ||||
\(365\) | − | 3.17960i | − | 0.166428i | ||||||
\(366\) | −0.520817 | − | 1.20827i | −0.0272235 | − | 0.0631572i | ||||
\(367\) | 14.2236 | − | 8.21199i | 0.742465 | − | 0.428662i | −0.0804999 | − | 0.996755i | \(-0.525652\pi\) |
0.822965 | + | 0.568092i | \(0.192318\pi\) | |||||||
\(368\) | − | 2.87353i | − | 0.149793i | ||||||
\(369\) | −23.4552 | − | 5.57210i | −1.22103 | − | 0.290072i | ||||
\(370\) | −2.99300 | + | 1.72801i | −0.155599 | + | 0.0898350i | ||||
\(371\) | −1.02714 | + | 5.26844i | −0.0533263 | + | 0.273524i | ||||
\(372\) | −6.69019 | + | 2.88376i | −0.346870 | + | 0.149516i | ||||
\(373\) | −0.140266 | + | 0.242947i | −0.00726269 | + | 0.0125793i | −0.869634 | − | 0.493697i | \(-0.835645\pi\) |
0.862371 | + | 0.506276i | \(0.168978\pi\) | |||||||
\(374\) | −0.998178 | − | 1.72890i | −0.0516146 | − | 0.0893991i | ||||
\(375\) | 10.4744 | − | 14.0618i | 0.540898 | − | 0.726150i | ||||
\(376\) | −11.3221 | + | 6.53683i | −0.583894 | + | 0.337112i | ||||
\(377\) | −0.129303 | + | 0.196833i | −0.00665945 | + | 0.0101374i | ||||
\(378\) | 13.7453 | + | 0.258532i | 0.706982 | + | 0.0132975i | ||||
\(379\) | −15.8106 | + | 27.3847i | −0.812133 | + | 1.40666i | 0.0992346 | + | 0.995064i | \(0.468361\pi\) |
−0.911368 | + | 0.411592i | \(0.864973\pi\) | |||||||
\(380\) | 0.0350810i | 0.00179962i | ||||||||
\(381\) | −0.00217562 | − | 0.00504732i | −0.000111460 | − | 0.000258582i | ||||
\(382\) | −0.560953 | + | 0.971600i | −0.0287009 | + | 0.0497114i | ||||
\(383\) | 13.1914 | − | 22.8482i | 0.674050 | − | 1.16749i | −0.302696 | − | 0.953087i | \(-0.597887\pi\) |
0.976746 | − | 0.214402i | \(-0.0687801\pi\) | |||||||
\(384\) | 1.38904 | + | 1.03468i | 0.0708844 | + | 0.0528006i | ||||
\(385\) | −0.546341 | + | 2.80232i | −0.0278441 | + | 0.142820i | ||||
\(386\) | 14.5056 | − | 8.37481i | 0.738315 | − | 0.426266i | ||||
\(387\) | 11.3209 | − | 11.9867i | 0.575474 | − | 0.609320i | ||||
\(388\) | −8.74505 | + | 5.04896i | −0.443963 | + | 0.256322i | ||||
\(389\) | 20.3683 | + | 11.7596i | 1.03271 | + | 0.596237i | 0.917760 | − | 0.397135i | \(-0.129995\pi\) |
0.114952 | + | 0.993371i | \(0.463329\pi\) | |||||||
\(390\) | −7.22217 | − | 1.27132i | −0.365709 | − | 0.0643757i | ||||
\(391\) | 6.24232i | 0.315688i | ||||||||
\(392\) | −4.30346 | − | 5.52089i | −0.217358 | − | 0.278847i | ||||
\(393\) | −12.4018 | − | 1.45289i | −0.625586 | − | 0.0732885i | ||||
\(394\) | 10.7682 | − | 18.6511i | 0.542494 | − | 0.939627i | ||||
\(395\) | −4.35668 | + | 7.54599i | −0.219208 | + | 0.379680i | ||||
\(396\) | −2.00433 | − | 1.89300i | −0.100721 | − | 0.0951267i | ||||
\(397\) | 9.64915 | + | 5.57094i | 0.484277 | + | 0.279598i | 0.722197 | − | 0.691687i | \(-0.243132\pi\) |
−0.237920 | + | 0.971285i | \(0.576466\pi\) | |||||||
\(398\) | 13.0222 | 0.652746 | ||||||||
\(399\) | 0.0921143 | + | 0.101281i | 0.00461148 | + | 0.00507042i | ||||
\(400\) | 1.81056 | − | 3.13599i | 0.0905282 | − | 0.156799i | ||||
\(401\) | − | 1.12561i | − | 0.0562102i | −0.999605 | − | 0.0281051i | \(-0.991053\pi\) | ||
0.999605 | − | 0.0281051i | \(-0.00894732\pi\) | |||||||
\(402\) | 2.63648 | − | 22.5048i | 0.131496 | − | 1.12244i | ||||
\(403\) | 8.32654 | − | 12.6751i | 0.414774 | − | 0.631394i | ||||
\(404\) | 4.42478 | + | 7.66394i | 0.220141 | + | 0.381295i | ||||
\(405\) | −9.43913 | − | 4.75304i | −0.469034 | − | 0.236180i | ||||
\(406\) | 0.169620 | + | 0.0330691i | 0.00841808 | + | 0.00164119i | ||||
\(407\) | 2.34236 | − | 1.35236i | 0.116106 | − | 0.0670340i | ||||
\(408\) | −3.01749 | − | 2.24768i | −0.149388 | − | 0.111277i | ||||
\(409\) | − | 9.06948i | − | 0.448457i | −0.974537 | − | 0.224228i | \(-0.928014\pi\) | ||
0.974537 | − | 0.224228i | \(-0.0719862\pi\) | |||||||
\(410\) | − | 9.43628i | − | 0.466025i | ||||||
\(411\) | 28.5871 | + | 21.2941i | 1.41010 | + | 1.05036i | ||||
\(412\) | −8.65368 | + | 4.99621i | −0.426336 | + | 0.246145i | ||||
\(413\) | 3.10586 | + | 9.03648i | 0.152830 | + | 0.444656i | ||||
\(414\) | 2.46804 | + | 8.25975i | 0.121297 | + | 0.405944i | ||||
\(415\) | 6.97127 | + | 12.0746i | 0.342206 | + | 0.592719i | ||||
\(416\) | −3.59957 | − | 0.207654i | −0.176483 | − | 0.0101811i | ||||
\(417\) | 1.27602 | − | 10.8921i | 0.0624872 | − | 0.533387i | ||||
\(418\) | − | 0.0274548i | − | 0.00134286i | ||||||
\(419\) | −14.1783 | + | 24.5576i | −0.692657 | + | 1.19972i | 0.278307 | + | 0.960492i | \(0.410227\pi\) |
−0.970964 | + | 0.239225i | \(0.923107\pi\) | |||||||
\(420\) | 1.14507 | + | 5.25786i | 0.0558736 | + | 0.256557i | ||||
\(421\) | 19.4027 | 0.945627 | 0.472814 | − | 0.881162i | \(-0.343238\pi\) | ||||
0.472814 | + | 0.881162i | \(0.343238\pi\) | |||||||
\(422\) | 18.4561 | + | 10.6556i | 0.898427 | + | 0.518707i | ||||
\(423\) | 26.9302 | − | 28.5141i | 1.30939 | − | 1.38640i | ||||
\(424\) | 1.01439 | − | 1.75697i | 0.0492630 | − | 0.0853261i | ||||
\(425\) | −3.93318 | + | 6.81247i | −0.190787 | + | 0.330454i | ||||
\(426\) | −16.2106 | − | 1.89911i | −0.785408 | − | 0.0920120i | ||||
\(427\) | 0.384594 | − | 1.97268i | 0.0186118 | − | 0.0954647i | ||||
\(428\) | 4.08949i | 0.197673i | ||||||||
\(429\) | 5.65215 | + | 0.994948i | 0.272888 | + | 0.0480365i | ||||
\(430\) | 5.58897 | + | 3.22679i | 0.269524 | + | 0.155610i | ||||
\(431\) | 15.3493 | − | 8.86192i | 0.739350 | − | 0.426864i | −0.0824831 | − | 0.996592i | \(-0.526285\pi\) |
0.821833 | + | 0.569729i | \(0.192952\pi\) | |||||||
\(432\) | −4.88137 | − | 1.78107i | −0.234855 | − | 0.0856917i | ||||
\(433\) | −0.325897 | + | 0.188157i | −0.0156616 | + | 0.00904223i | −0.507810 | − | 0.861469i | \(-0.669545\pi\) |
0.492149 | + | 0.870511i | \(0.336212\pi\) | |||||||
\(434\) | −10.9227 | − | 2.12950i | −0.524308 | − | 0.102219i | ||||
\(435\) | −0.106538 | − | 0.0793587i | −0.00510812 | − | 0.00380496i | ||||
\(436\) | −3.22047 | + | 5.57802i | −0.154233 | + | 0.267139i | ||||
\(437\) | −0.0429236 | + | 0.0743458i | −0.00205331 | + | 0.00355644i | ||||
\(438\) | 1.85646 | + | 4.30690i | 0.0887053 | + | 0.205792i | ||||
\(439\) | − | 28.0432i | − | 1.33843i | −0.743070 | − | 0.669214i | \(-0.766631\pi\) | ||
0.743070 | − | 0.669214i | \(-0.233369\pi\) | |||||||
\(440\) | 0.539560 | − | 0.934545i | 0.0257225 | − | 0.0445527i | ||||
\(441\) | 17.1118 | + | 12.1732i | 0.814848 | + | 0.579675i | ||||
\(442\) | 7.81953 | + | 0.451097i | 0.371937 | + | 0.0214565i | ||||
\(443\) | 13.9270 | − | 8.04074i | 0.661691 | − | 0.382027i | −0.131230 | − | 0.991352i | \(-0.541893\pi\) |
0.792921 | + | 0.609325i | \(0.208559\pi\) | |||||||
\(444\) | 3.04523 | − | 4.08819i | 0.144520 | − | 0.194017i | ||||
\(445\) | −5.89166 | − | 10.2047i | −0.279291 | − | 0.483747i | ||||
\(446\) | 11.6308 | − | 20.1451i | 0.550734 | − | 0.953900i | ||||
\(447\) | 11.6268 | − | 5.01166i | 0.549929 | − | 0.237043i | ||||
\(448\) | 0.859975 | + | 2.50209i | 0.0406300 | + | 0.118213i | ||||
\(449\) | 30.1974 | − | 17.4345i | 1.42510 | − | 0.822783i | 0.428374 | − | 0.903602i | \(-0.359087\pi\) |
0.996729 | + | 0.0808182i | \(0.0257533\pi\) | |||||||
\(450\) | −2.51087 | + | 10.5692i | −0.118363 | + | 0.498238i | ||||
\(451\) | 7.38494i | 0.347743i | ||||||||
\(452\) | −18.3720 | + | 10.6071i | −0.864144 | + | 0.498914i | ||||
\(453\) | 6.68137 | + | 15.5005i | 0.313918 | + | 0.728275i | ||||
\(454\) | 23.3571i | 1.09620i | ||||||||
\(455\) | −8.01235 | − | 7.82812i | −0.375625 | − | 0.366988i | ||||
\(456\) | −0.0204827 | − | 0.0475187i | −0.000959188 | − | 0.00222527i | ||||
\(457\) | 2.79700 | 0.130838 | 0.0654191 | − | 0.997858i | \(-0.479162\pi\) | ||||
0.0654191 | + | 0.997858i | \(0.479162\pi\) | |||||||
\(458\) | −1.84632 | − | 3.19792i | −0.0862730 | − | 0.149429i | ||||
\(459\) | 10.6041 | + | 3.86911i | 0.494955 | + | 0.180594i | ||||
\(460\) | −2.92219 | + | 1.68713i | −0.136248 | + | 0.0786627i | ||||
\(461\) | 11.5533 | + | 20.0109i | 0.538091 | + | 0.932001i | 0.999007 | + | 0.0445574i | \(0.0141878\pi\) |
−0.460916 | + | 0.887444i | \(0.652479\pi\) | |||||||
\(462\) | −0.896143 | − | 4.11486i | −0.0416923 | − | 0.191441i | ||||
\(463\) | 7.03737 | 0.327054 | 0.163527 | − | 0.986539i | \(-0.447713\pi\) | ||||
0.163527 | + | 0.986539i | \(0.447713\pi\) | |||||||
\(464\) | −0.0565664 | − | 0.0326586i | −0.00262603 | − | 0.00151614i | ||||
\(465\) | 6.86058 | + | 5.11034i | 0.318152 | + | 0.236986i | ||||
\(466\) | 4.61110 | + | 7.98666i | 0.213605 | + | 0.369975i | ||||
\(467\) | 14.7390 | + | 25.5287i | 0.682039 | + | 1.18133i | 0.974358 | + | 0.225005i | \(0.0722398\pi\) |
−0.292319 | + | 0.956321i | \(0.594427\pi\) | |||||||
\(468\) | 10.5250 | − | 2.49474i | 0.486520 | − | 0.115319i | ||||
\(469\) | 22.7220 | − | 26.1092i | 1.04920 | − | 1.20561i | ||||
\(470\) | 13.2950 | + | 7.67590i | 0.613255 | + | 0.354063i | ||||
\(471\) | −14.1188 | + | 6.08584i | −0.650562 | + | 0.280421i | ||||
\(472\) | − | 3.61157i | − | 0.166236i | ||||||
\(473\) | −4.37399 | − | 2.52532i | −0.201116 | − | 0.116114i | ||||
\(474\) | 1.49545 | − | 12.7651i | 0.0686885 | − | 0.586320i | ||||
\(475\) | −0.0936881 | + | 0.0540908i | −0.00429870 | + | 0.00248186i | ||||
\(476\) | −1.86817 | − | 5.43542i | −0.0856273 | − | 0.249132i | ||||
\(477\) | −1.40674 | + | 5.92153i | −0.0644102 | + | 0.271128i | ||||
\(478\) | −13.3075 | −0.608669 | ||||||||
\(479\) | −7.42009 | − | 12.8520i | −0.339033 | − | 0.587222i | 0.645218 | − | 0.763998i | \(-0.276766\pi\) |
−0.984251 | + | 0.176776i | \(0.943433\pi\) | |||||||
\(480\) | 0.236653 | − | 2.02005i | 0.0108017 | − | 0.0922023i | ||||
\(481\) | −0.611159 | + | 10.5941i | −0.0278665 | + | 0.483050i | ||||
\(482\) | −25.7424 | −1.17253 | ||||||||
\(483\) | −4.00659 | + | 12.5438i | −0.182306 | + | 0.570765i | ||||
\(484\) | 5.07773 | − | 8.79489i | 0.230806 | − | 0.399768i | ||||
\(485\) | 10.2689 | + | 5.92875i | 0.466287 | + | 0.269211i | ||||
\(486\) | 15.5609 | + | 0.926997i | 0.705855 | + | 0.0420495i | ||||
\(487\) | −26.0894 | −1.18222 | −0.591111 | − | 0.806590i | \(-0.701310\pi\) | ||||
−0.591111 | + | 0.806590i | \(0.701310\pi\) | |||||||
\(488\) | −0.379821 | + | 0.657869i | −0.0171937 | + | 0.0297803i | ||||
\(489\) | 2.13750 | + | 4.95889i | 0.0966610 | + | 0.224249i | ||||
\(490\) | −3.08769 | + | 7.61780i | −0.139488 | + | 0.344137i | ||||
\(491\) | −19.2964 | − | 11.1408i | −0.870834 | − | 0.502776i | −0.00320842 | − | 0.999995i | \(-0.501021\pi\) |
−0.867625 | + | 0.497219i | \(0.834355\pi\) | |||||||
\(492\) | 5.50954 | + | 12.7819i | 0.248389 | + | 0.576251i | ||||
\(493\) | 0.122882 | + | 0.0709460i | 0.00553433 | + | 0.00319525i | ||||
\(494\) | 0.0900284 | + | 0.0591413i | 0.00405057 | + | 0.00266089i | ||||
\(495\) | −0.748255 | + | 3.14970i | −0.0336316 | + | 0.141568i | ||||
\(496\) | 3.64262 | + | 2.10307i | 0.163558 | + | 0.0944305i | ||||
\(497\) | −18.8069 | − | 16.3671i | −0.843605 | − | 0.734163i | ||||
\(498\) | −16.4929 | − | 12.2853i | −0.739063 | − | 0.550517i | ||||
\(499\) | −11.3535 | − | 19.6649i | −0.508254 | − | 0.880321i | −0.999954 | − | 0.00955703i | \(-0.996958\pi\) |
0.491701 | − | 0.870764i | \(-0.336375\pi\) | |||||||
\(500\) | −10.1234 | −0.452732 | ||||||||
\(501\) | −5.06530 | − | 11.7512i | −0.226301 | − | 0.525006i | ||||
\(502\) | −26.8320 | + | 15.4915i | −1.19757 | + | 0.691418i | ||||
\(503\) | 13.8434 | + | 23.9774i | 0.617246 | + | 1.06910i | 0.989986 | + | 0.141165i | \(0.0450849\pi\) |
−0.372740 | + | 0.927936i | \(0.621582\pi\) | |||||||
\(504\) | −4.62094 | − | 6.45344i | −0.205833 | − | 0.287459i | ||||
\(505\) | 5.19581 | − | 8.99940i | 0.231210 | − | 0.400468i | ||||
\(506\) | 2.28694 | − | 1.32036i | 0.101667 | − | 0.0586974i | ||||
\(507\) | −15.4381 | + | 16.3910i | −0.685630 | + | 0.727951i | ||||
\(508\) | −0.00158663 | + | 0.00274813i | −7.03954e−5 | + | 0.000121928i | ||||
\(509\) | 19.1126 | 0.847151 | 0.423575 | − | 0.905861i | \(-0.360775\pi\) | ||||
0.423575 | + | 0.905861i | \(0.360775\pi\) | |||||||
\(510\) | −0.514093 | + | 4.38826i | −0.0227644 | + | 0.194316i | ||||
\(511\) | −1.37090 | + | 7.03167i | −0.0606448 | + | 0.311063i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0.0996891 | + | 0.118997i | 0.00440138 | + | 0.00525383i | ||||
\(514\) | 31.2860i | 1.37997i | ||||||||
\(515\) | 10.1616 | + | 5.86681i | 0.447774 | + | 0.258523i | ||||
\(516\) | −9.45453 | − | 1.10761i | −0.416212 | − | 0.0487600i | ||||
\(517\) | −10.4049 | − | 6.00725i | −0.457605 | − | 0.264198i | ||||
\(518\) | 7.36406 | − | 2.53105i | 0.323558 | − | 0.111208i | ||||
\(519\) | −6.83978 | − | 15.8680i | −0.300233 | − | 0.696526i | ||||
\(520\) | 1.90223 | + | 3.78244i | 0.0834184 | + | 0.165871i | ||||
\(521\) | 7.05557 | − | 12.2206i | 0.309110 | − | 0.535394i | −0.669058 | − | 0.743210i | \(-0.733302\pi\) |
0.978168 | + | 0.207816i | \(0.0666355\pi\) | |||||||
\(522\) | 0.190646 | + | 0.0452906i | 0.00834434 | + | 0.00198231i | ||||
\(523\) | 1.35929i | 0.0594377i | 0.999558 | + | 0.0297188i | \(0.00946119\pi\) | ||||
−0.999558 | + | 0.0297188i | \(0.990539\pi\) | |||||||
\(524\) | 3.60456 | + | 6.24329i | 0.157466 | + | 0.272739i | ||||
\(525\) | −12.2762 | + | 11.1651i | −0.535778 | + | 0.487284i | ||||
\(526\) | −1.63886 | − | 2.83858i | −0.0714576 | − | 0.123768i | ||||
\(527\) | −7.91305 | − | 4.56860i | −0.344698 | − | 0.199012i | ||||
\(528\) | −0.185207 | + | 1.58091i | −0.00806010 | + | 0.0688005i | ||||
\(529\) | 14.7428 | 0.640992 | ||||||||
\(530\) | −2.38230 | −0.103480 | ||||||||
\(531\) | 3.10193 | + | 10.3812i | 0.134612 | + | 0.450506i | ||||
\(532\) | 0.0151253 | − | 0.0775815i | 0.000655765 | − | 0.00336358i | ||||
\(533\) | −24.2164 | − | 15.9082i | −1.04893 | − | 0.689059i | ||||
\(534\) | 13.9387 | + | 10.3827i | 0.603186 | + | 0.449304i | ||||
\(535\) | 4.15874 | − | 2.40105i | 0.179798 | − | 0.103806i | ||||
\(536\) | −11.3294 | + | 6.54101i | −0.489354 | + | 0.282529i | ||||
\(537\) | −3.25437 | + | 27.7791i | −0.140436 | + | 1.19876i | ||||
\(538\) | 7.84705i | 0.338310i | ||||||||
\(539\) | 2.41646 | − | 5.96177i | 0.104084 | − | 0.256792i | ||||
\(540\) | 1.05476 | + | 6.00974i | 0.0453895 | + | 0.258618i | ||||
\(541\) | 16.1920 | + | 28.0454i | 0.696150 | + | 1.20577i | 0.969792 | + | 0.243935i | \(0.0784383\pi\) |
−0.273642 | + | 0.961832i | \(0.588228\pi\) | |||||||
\(542\) | −11.1613 | −0.479418 | ||||||||
\(543\) | −16.3317 | − | 12.1652i | −0.700859 | − | 0.522059i | ||||
\(544\) | 2.17235i | 0.0931388i | ||||||||
\(545\) | 7.56329 | 0.323976 | ||||||||
\(546\) | 15.4237 | + | 5.92538i | 0.660072 | + | 0.253583i | ||||
\(547\) | −20.9799 | −0.897036 | −0.448518 | − | 0.893774i | \(-0.648048\pi\) | ||||
−0.448518 | + | 0.893774i | \(0.648048\pi\) | |||||||
\(548\) | − | 20.5804i | − | 0.879151i | ||||||
\(549\) | 0.526731 | − | 2.21722i | 0.0224803 | − | 0.0946285i | ||||
\(550\) | 3.32776 | 0.141896 | ||||||||
\(551\) | 0.000975680 | 0.00168993i | 4.15654e−5 | 7.19934e-5i | ||||||
\(552\) | 2.97318 | − | 3.99146i | 0.126547 | − | 0.169888i | ||||
\(553\) | 12.8883 | − | 14.8095i | 0.548065 | − | 0.629765i | ||||
\(554\) | − | 19.0907i | − | 0.811086i | ||||||
\(555\) | −5.94535 | − | 0.696508i | −0.252366 | − | 0.0295651i | ||||
\(556\) | −5.48328 | + | 3.16577i | −0.232543 | + | 0.134259i | ||||
\(557\) | −1.77057 | + | 1.02224i | −0.0750216 | + | 0.0433137i | −0.537042 | − | 0.843556i | \(-0.680458\pi\) |
0.462020 | + | 0.886870i | \(0.347125\pi\) | |||||||
\(558\) | −12.2767 | − | 2.91651i | −0.519716 | − | 0.123466i | ||||
\(559\) | 17.7031 | − | 8.90309i | 0.748761 | − | 0.376561i | ||||
\(560\) | 2.03954 | − | 2.34358i | 0.0861864 | − | 0.0990343i | ||||
\(561\) | 0.402335 | − | 3.43430i | 0.0169866 | − | 0.144996i | ||||
\(562\) | 12.3375 | 0.520427 | ||||||||
\(563\) | 34.6535 | 1.46047 | 0.730235 | − | 0.683196i | \(-0.239411\pi\) | ||||
0.730235 | + | 0.683196i | \(0.239411\pi\) | |||||||
\(564\) | −22.4905 | − | 2.63480i | −0.947019 | − | 0.110945i | ||||
\(565\) | 21.5733 | + | 12.4554i | 0.907597 | + | 0.524001i | ||||
\(566\) | 5.39233 | + | 9.33979i | 0.226656 | + | 0.392580i | ||||
\(567\) | 18.8253 | + | 14.5811i | 0.790589 | + | 0.612347i | ||||
\(568\) | 4.71161 | + | 8.16075i | 0.197695 | + | 0.342418i | ||||
\(569\) | − | 10.1933i | − | 0.427323i | −0.976908 | − | 0.213662i | \(-0.931461\pi\) | ||
0.976908 | − | 0.213662i | \(-0.0685390\pi\) | |||||||
\(570\) | −0.0362975 | + | 0.0487290i | −0.00152033 | + | 0.00204103i | ||||
\(571\) | 4.05162 | − | 7.01761i | 0.169555 | − | 0.293678i | −0.768709 | − | 0.639599i | \(-0.779100\pi\) |
0.938263 | + | 0.345922i | \(0.112434\pi\) | |||||||
\(572\) | −1.48871 | − | 2.96018i | −0.0622460 | − | 0.123771i | ||||
\(573\) | −1.78448 | + | 0.769189i | −0.0745478 | + | 0.0321333i | ||||
\(574\) | −4.06849 | + | 20.8683i | −0.169815 | + | 0.871027i | ||||
\(575\) | −9.01136 | − | 5.20271i | −0.375800 | − | 0.216968i | ||||
\(576\) | 0.858887 | + | 2.87442i | 0.0357870 | + | 0.119768i | ||||
\(577\) | 14.1521 | + | 8.17074i | 0.589161 | + | 0.340153i | 0.764766 | − | 0.644308i | \(-0.222855\pi\) |
−0.175604 | + | 0.984461i | \(0.556188\pi\) | |||||||
\(578\) | 12.2809i | 0.510818i | ||||||||
\(579\) | 28.8141 | + | 3.37562i | 1.19747 | + | 0.140286i | ||||
\(580\) | 0.0766990i | 0.00318475i | ||||||||
\(581\) | −10.2109 | − | 29.7086i | −0.423621 | − | 1.23252i | ||||
\(582\) | −17.3713 | − | 2.03508i | −0.720063 | − | 0.0843567i | ||||
\(583\) | 1.86441 | 0.0772161 | ||||||||
\(584\) | 1.35388 | − | 2.34499i | 0.0560239 | − | 0.0970363i | ||||
\(585\) | −8.71651 | − | 9.23853i | −0.360383 | − | 0.381966i | ||||
\(586\) | −15.4741 | + | 8.93398i | −0.639229 | + | 0.369059i | ||||
\(587\) | −11.5145 | + | 19.9438i | −0.475256 | + | 0.823167i | −0.999598 | − | 0.0283405i | \(-0.990978\pi\) |
0.524343 | + | 0.851507i | \(0.324311\pi\) | |||||||
\(588\) | −0.265367 | − | 12.1215i | −0.0109436 | − | 0.499880i | ||||
\(589\) | −0.0628294 | − | 0.108824i | −0.00258884 | − | 0.00448400i | ||||
\(590\) | −3.67273 | + | 2.12045i | −0.151204 | + | 0.0872976i | ||||
\(591\) | 34.2553 | − | 14.7655i | 1.40908 | − | 0.607373i | ||||
\(592\) | −2.94317 | −0.120963 | ||||||||
\(593\) | −3.13509 | − | 5.43014i | −0.128743 | − | 0.222989i | 0.794447 | − | 0.607334i | \(-0.207761\pi\) |
−0.923190 | + | 0.384344i | \(0.874428\pi\) | |||||||
\(594\) | −0.825464 | − | 4.70329i | −0.0338692 | − | 0.192978i | ||||
\(595\) | −4.43060 | + | 5.09108i | −0.181637 | + | 0.208714i | ||||
\(596\) | −6.33047 | − | 3.65490i | −0.259306 | − | 0.149710i | ||||
\(597\) | 18.0885 | + | 13.4738i | 0.740311 | + | 0.551446i | ||||
\(598\) | −0.596700 | + | 10.3435i | −0.0244009 | + | 0.422976i | ||||
\(599\) | −4.15122 | − | 2.39671i | −0.169614 | − | 0.0979269i | 0.412790 | − | 0.910826i | \(-0.364554\pi\) |
−0.582404 | + | 0.812900i | \(0.697888\pi\) | |||||||
\(600\) | 5.75969 | − | 2.48268i | 0.235138 | − | 0.101355i | ||||
\(601\) | −42.1719 | − | 24.3480i | −1.72023 | − | 0.993174i | −0.918434 | − | 0.395574i | \(-0.870546\pi\) |
−0.801794 | − | 0.597601i | \(-0.796121\pi\) | |||||||
\(602\) | −10.9687 | − | 9.54575i | −0.447053 | − | 0.389056i | ||||
\(603\) | 26.9474 | − | 28.5323i | 1.09738 | − | 1.16192i | ||||
\(604\) | 4.87258 | − | 8.43956i | 0.198263 | − | 0.343401i | ||||
\(605\) | −11.9251 | −0.484824 | ||||||||
\(606\) | −1.78349 | + | 15.2238i | −0.0724493 | + | 0.618423i | ||||
\(607\) | −30.5881 | − | 17.6601i | −1.24153 | − | 0.716800i | −0.272128 | − | 0.962261i | \(-0.587727\pi\) |
−0.969406 | + | 0.245461i | \(0.921061\pi\) | |||||||
\(608\) | −0.0149376 | + | 0.0258726i | −0.000605798 | + | 0.00104927i | ||||
\(609\) | 0.201393 | + | 0.221436i | 0.00816087 | + | 0.00897304i | ||||
\(610\) | 0.892011 | 0.0361165 | ||||||||
\(611\) | 42.1122 | − | 21.1787i | 1.70368 | − | 0.856798i | ||||
\(612\) | −1.86581 | − | 6.24426i | −0.0754207 | − | 0.252409i | ||||
\(613\) | −20.8629 | − | 36.1356i | −0.842645 | − | 1.45950i | −0.887650 | − | 0.460518i | \(-0.847664\pi\) |
0.0450051 | − | 0.998987i | \(-0.485670\pi\) | |||||||
\(614\) | 15.9984 | 0.645641 | ||||||||
\(615\) | 9.76350 | − | 13.1074i | 0.393702 | − | 0.528542i | ||||
\(616\) | −1.59617 | + | 1.83411i | −0.0643115 | + | 0.0738985i | ||||
\(617\) | −25.8310 | + | 14.9135i | −1.03992 | + | 0.600395i | −0.919809 | − | 0.392366i | \(-0.871657\pi\) |
−0.120106 | + | 0.992761i | \(0.538323\pi\) | |||||||
\(618\) | −17.1898 | − | 2.01382i | −0.691476 | − | 0.0810076i | ||||
\(619\) | 11.2355 | + | 6.48683i | 0.451594 | + | 0.260728i | 0.708503 | − | 0.705708i | \(-0.249371\pi\) |
−0.256909 | + | 0.966436i | \(0.582704\pi\) | |||||||
\(620\) | − | 4.93907i | − | 0.198358i | ||||||
\(621\) | −5.11796 | + | 14.0268i | −0.205376 | + | 0.562875i | ||||
\(622\) | 12.9943 | + | 7.50229i | 0.521026 | + | 0.300814i | ||||
\(623\) | 8.62962 | + | 25.1078i | 0.345738 | + | 1.00592i | ||||
\(624\) | −4.78510 | − | 4.01283i | −0.191557 | − | 0.160642i | ||||
\(625\) | −3.10911 | − | 5.38514i | −0.124364 | − | 0.215405i | ||||
\(626\) | 4.59734 | + | 7.96283i | 0.183747 | + | 0.318259i | ||||
\(627\) | 0.0284068 | − | 0.0381359i | 0.00113446 | − | 0.00152300i | ||||
\(628\) | 7.68731 | + | 4.43827i | 0.306757 | + | 0.177106i | ||||
\(629\) | 6.39359 | 0.254929 | ||||||||
\(630\) | −3.84964 | + | 8.48818i | −0.153373 | + | 0.338177i | ||||
\(631\) | −14.7342 | − | 25.5203i | −0.586557 | − | 1.01595i | −0.994679 | − | 0.103020i | \(-0.967150\pi\) |
0.408122 | − | 0.912927i | \(-0.366184\pi\) | |||||||
\(632\) | −6.42620 | + | 3.71017i | −0.255620 | + | 0.147583i | ||||
\(633\) | 14.6112 | + | 33.8972i | 0.580741 | + | 1.34729i | ||||
\(634\) | 15.1778 | + | 26.2887i | 0.602787 | + | 1.04406i | ||||
\(635\) | 0.00372621 | 0.000147870 | ||||||||
\(636\) | 3.22693 | − | 1.39095i | 0.127956 | − | 0.0551546i | ||||
\(637\) | 14.3442 | + | 20.7664i | 0.568337 | + | 0.822796i | ||||
\(638\) | − | 0.0600255i | − | 0.00237643i | ||||||
\(639\) | −20.5523 | − | 19.4107i | −0.813038 | − | 0.767876i | ||||
\(640\) | −1.01693 | + | 0.587127i | −0.0401978 | + | 0.0232082i | ||||
\(641\) | 28.4150i | 1.12233i | 0.827705 | + | 0.561163i | \(0.189646\pi\) | ||||
−0.827705 | + | 0.561163i | \(0.810354\pi\) | |||||||
\(642\) | −4.23130 | + | 5.68048i | −0.166996 | + | 0.224191i | ||||
\(643\) | 27.7370 | − | 16.0140i | 1.09384 | − | 0.631530i | 0.159245 | − | 0.987239i | \(-0.449094\pi\) |
0.934597 | + | 0.355709i | \(0.115761\pi\) | |||||||
\(644\) | 7.18983 | − | 2.47116i | 0.283319 | − | 0.0973775i | ||||
\(645\) | 4.42464 | + | 10.2649i | 0.174220 | + | 0.404181i | ||||
\(646\) | 0.0324496 | − | 0.0562044i | 0.00127671 | − | 0.00221133i | ||||
\(647\) | 7.52581 | + | 13.0351i | 0.295870 | + | 0.512462i | 0.975187 | − | 0.221383i | \(-0.0710570\pi\) |
−0.679317 | + | 0.733845i | \(0.737724\pi\) | |||||||
\(648\) | −4.93761 | − | 7.52463i | −0.193968 | − | 0.295595i | ||||
\(649\) | 2.87432 | − | 1.65949i | 0.112827 | − | 0.0651406i | ||||
\(650\) | −7.16845 | + | 10.9122i | −0.281170 | + | 0.428013i | ||||
\(651\) | −12.9688 | − | 14.2595i | −0.508288 | − | 0.558873i | ||||
\(652\) | 1.55883 | − | 2.69997i | 0.0610485 | − | 0.105739i | ||||
\(653\) | 13.6394i | 0.533749i | 0.963731 | + | 0.266875i | \(0.0859909\pi\) | ||||
−0.963731 | + | 0.266875i | \(0.914009\pi\) | |||||||
\(654\) | −10.2448 | + | 4.41597i | −0.400604 | + | 0.172678i | ||||
\(655\) | 4.23267 | − | 7.33120i | 0.165384 | − | 0.286454i | ||||
\(656\) | 4.01799 | − | 6.95937i | 0.156876 | − | 0.271718i | ||||
\(657\) | −1.87754 | + | 7.90332i | −0.0732500 | + | 0.308338i | ||||
\(658\) | −26.0925 | − | 22.7075i | −1.01719 | − | 0.885229i | ||||
\(659\) | 7.63539 | − | 4.40829i | 0.297432 | − | 0.171723i | −0.343856 | − | 0.939022i | \(-0.611733\pi\) |
0.641289 | + | 0.767300i | \(0.278400\pi\) | |||||||
\(660\) | 1.71642 | − | 0.739854i | 0.0668117 | − | 0.0287988i | ||||
\(661\) | −24.7707 | + | 14.3013i | −0.963467 | + | 0.556258i | −0.897238 | − | 0.441547i | \(-0.854430\pi\) |
−0.0662286 | + | 0.997804i | \(0.521097\pi\) | |||||||
\(662\) | 26.1992 | + | 15.1261i | 1.01826 | + | 0.587892i | ||||
\(663\) | 10.3949 | + | 8.71728i | 0.403706 | + | 0.338551i | ||||
\(664\) | 11.8735i | 0.460783i | ||||||||
\(665\) | −0.0877757 | + | 0.0301687i | −0.00340379 | + | 0.00116989i | ||||
\(666\) | 8.45990 | − | 2.52785i | 0.327815 | − | 0.0979521i | ||||
\(667\) | −0.0938456 | + | 0.162545i | −0.00363371 | + | 0.00629378i | ||||
\(668\) | −3.69401 | + | 6.39822i | −0.142926 | + | 0.247554i | ||||
\(669\) | 36.9994 | − | 15.9484i | 1.43048 | − | 0.616599i | ||||
\(670\) | 13.3035 | + | 7.68081i | 0.513961 | + | 0.296735i | ||||
\(671\) | −0.698098 | −0.0269498 | ||||||||
\(672\) | −1.39431 | + | 4.36531i | −0.0537867 | + | 0.168395i | ||||
\(673\) | 9.49994 | − | 16.4544i | 0.366196 | − | 0.634270i | −0.622771 | − | 0.782404i | \(-0.713993\pi\) |
0.988967 | + | 0.148134i | \(0.0473267\pi\) | |||||||
\(674\) | 15.1212i | 0.582447i | ||||||||
\(675\) | −14.4235 | + | 12.0832i | −0.555159 | + | 0.465082i | ||||
\(676\) | 12.9138 | + | 1.49493i | 0.496683 | + | 0.0574972i | ||||
\(677\) | 24.1275 | + | 41.7901i | 0.927297 | + | 1.60612i | 0.787825 | + | 0.615899i | \(0.211207\pi\) |
0.139471 | + | 0.990226i | \(0.455460\pi\) | |||||||
\(678\) | −36.4943 | − | 4.27538i | −1.40156 | − | 0.164195i | ||||
\(679\) | −20.1535 | − | 17.5389i | −0.773418 | − | 0.673081i | ||||
\(680\) | 2.20914 | − | 1.27545i | 0.0847165 | − | 0.0489111i | ||||
\(681\) | −24.1671 | + | 32.4441i | −0.926084 | + | 1.24326i | ||||
\(682\) | 3.86537i | 0.148013i | ||||||||
\(683\) | − | 7.06486i | − | 0.270329i | −0.990823 | − | 0.135165i | \(-0.956844\pi\) | ||
0.990823 | − | 0.135165i | \(-0.0431564\pi\) | |||||||
\(684\) | 0.0207152 | − | 0.0871986i | 0.000792067 | − | 0.00333412i | ||||
\(685\) | −20.9289 | + | 12.0833i | −0.799652 | + | 0.461679i | ||||
\(686\) | 10.1129 | − | 15.5155i | 0.386111 | − | 0.592383i | ||||
\(687\) | 0.744195 | − | 6.35241i | 0.0283928 | − | 0.242359i | ||||
\(688\) | 2.74795 | + | 4.75959i | 0.104765 | + | 0.181458i | ||||
\(689\) | −4.01620 | + | 6.11369i | −0.153005 | + | 0.232913i | ||||
\(690\) | −5.80468 | − | 0.680029i | −0.220980 | − | 0.0258882i | ||||
\(691\) | 27.5162i | 1.04677i | 0.852097 | + | 0.523384i | \(0.175331\pi\) | ||||
−0.852097 | + | 0.523384i | \(0.824669\pi\) | |||||||
\(692\) | −4.98811 | + | 8.63966i | −0.189619 | + | 0.328430i | ||||
\(693\) | 3.01277 | − | 6.64294i | 0.114446 | − | 0.252344i | ||||
\(694\) | 3.24211 | 0.123069 | ||||||||
\(695\) | 6.43876 | + | 3.71742i | 0.244236 | + | 0.141010i | ||||
\(696\) | −0.0447821 | − | 0.103892i | −0.00169746 | − | 0.00393802i | ||||
\(697\) | −8.72849 | + | 15.1182i | −0.330615 | + | 0.572643i | ||||
\(698\) | −5.16032 | + | 8.93794i | −0.195321 | + | 0.338306i | ||||
\(699\) | −1.85859 | + | 15.8648i | −0.0702984 | + | 0.600063i | ||||
\(700\) | 9.40356 | + | 1.83332i | 0.355421 | + | 0.0692930i | ||||
\(701\) | − | 1.43708i | − | 0.0542779i | −0.999632 | − | 0.0271389i | \(-0.991360\pi\) | ||
0.999632 | − | 0.0271389i | \(-0.00863965\pi\) | |||||||
\(702\) | 17.2010 | + | 7.42471i | 0.649209 | + | 0.280228i | ||||
\(703\) | 0.0761474 | + | 0.0439637i | 0.00287195 | + | 0.00165812i | ||||
\(704\) | 0.795863 | − | 0.459492i | 0.0299952 | − | 0.0173178i | ||||
\(705\) | 10.5253 | + | 24.4182i | 0.396407 | + | 0.919644i | ||||
\(706\) | 19.7980 | − | 11.4304i | 0.745106 | − | 0.430187i | ||||
\(707\) | −15.3706 | + | 17.6620i | −0.578073 | + | 0.664247i | ||||
\(708\) | 3.73681 | − | 5.01664i | 0.140438 | − | 0.188537i | ||||
\(709\) | −9.50734 | + | 16.4672i | −0.357056 | + | 0.618438i | −0.987468 | − | 0.157822i | \(-0.949553\pi\) |
0.630412 | + | 0.776261i | \(0.282886\pi\) | |||||||
\(710\) | 5.53263 | − | 9.58279i | 0.207636 | − | 0.359636i | ||||
\(711\) | 15.2850 | − | 16.1840i | 0.573233 | − | 0.606946i | ||||
\(712\) | − | 10.0347i | − | 0.376068i | ||||||
\(713\) | 6.04323 | − | 10.4672i | 0.226321 | − | 0.391999i | ||||
\(714\) | 3.02893 | − | 9.48298i | 0.113355 | − | 0.354892i | ||||
\(715\) | −2.13624 | + | 3.25192i | −0.0798910 | + | 0.121615i | ||||
\(716\) | 13.9845 | − | 8.07398i | 0.522627 | − | 0.301739i | ||||
\(717\) | −18.4847 | − | 13.7689i | −0.690322 | − | 0.514210i | ||||
\(718\) | −0.0353783 | − | 0.0612770i | −0.00132031 | − | 0.00228684i | ||||
\(719\) | 19.1696 | − | 33.2027i | 0.714904 | − | 1.23825i | −0.248092 | − | 0.968736i | \(-0.579804\pi\) |
0.962996 | − | 0.269514i | \(-0.0868630\pi\) | |||||||
\(720\) | 2.41882 | − | 2.56108i | 0.0901442 | − | 0.0954459i | ||||
\(721\) | −19.9429 | − | 17.3557i | −0.742712 | − | 0.646359i | ||||
\(722\) | −16.4537 | + | 9.49955i | −0.612344 | + | 0.353537i | ||||
\(723\) | −35.7573 | − | 26.6351i | −1.32983 | − | 0.990569i | ||||
\(724\) | 11.7575i | 0.436964i | ||||||||
\(725\) | −0.204834 | + | 0.118261i | −0.00760735 | + | 0.00439211i | ||||
\(726\) | 16.1531 | − | 6.96268i | 0.599497 | − | 0.258409i | ||||
\(727\) | − | 36.3302i | − | 1.34741i | −0.738998 | − | 0.673707i | \(-0.764701\pi\) | ||
0.738998 | − | 0.673707i | \(-0.235299\pi\) | |||||||
\(728\) | −2.57597 | − | 9.18501i | −0.0954717 | − | 0.340419i | ||||
\(729\) | 20.6556 | + | 17.3881i | 0.765022 | + | 0.644004i | ||||
\(730\) | −3.17960 | −0.117682 | ||||||||
\(731\) | −5.96952 | − | 10.3395i | −0.220791 | − | 0.382421i | ||||
\(732\) | −1.20827 | + | 0.520817i | −0.0446589 | + | 0.0192499i | ||||
\(733\) | −16.1295 | + | 9.31236i | −0.595756 | + | 0.343960i | −0.767370 | − | 0.641204i | \(-0.778435\pi\) |
0.171614 | + | 0.985164i | \(0.445102\pi\) | |||||||
\(734\) | −8.21199 | − | 14.2236i | −0.303110 | − | 0.525002i | ||||
\(735\) | −12.1709 | + | 7.38669i | −0.448931 | + | 0.272462i | ||||
\(736\) | −2.87353 | −0.105920 | ||||||||
\(737\) | −10.4115 | − | 6.01108i | −0.383513 | − | 0.221421i | ||||
\(738\) | −5.57210 | + | 23.4552i | −0.205112 | + | 0.863397i | ||||
\(739\) | 16.5130 | + | 28.6014i | 0.607442 | + | 1.05212i | 0.991661 | + | 0.128878i | \(0.0411374\pi\) |
−0.384219 | + | 0.923242i | \(0.625529\pi\) | |||||||
\(740\) | 1.72801 | + | 2.99300i | 0.0635229 | + | 0.110025i | ||||
\(741\) | 0.0638612 | + | 0.175300i | 0.00234600 | + | 0.00643981i | ||||
\(742\) | 5.26844 | + | 1.02714i | 0.193411 | + | 0.0377074i | ||||
\(743\) | 2.44292 | + | 1.41042i | 0.0896221 | + | 0.0517434i | 0.544141 | − | 0.838994i | \(-0.316856\pi\) |
−0.454519 | + | 0.890737i | \(0.650189\pi\) | |||||||
\(744\) | 2.88376 | + | 6.69019i | 0.105724 | + | 0.245274i | ||||
\(745\) | 8.58355i | 0.314477i | ||||||||
\(746\) | 0.242947 | + | 0.140266i | 0.00889494 | + | 0.00513549i | ||||
\(747\) | −10.1980 | − | 34.1296i | −0.373126 | − | 1.24874i | ||||
\(748\) | −1.72890 | + | 0.998178i | −0.0632147 | + | 0.0364970i | ||||
\(749\) | −10.2323 | + | 3.51686i | −0.373879 | + | 0.128503i | ||||
\(750\) | −14.0618 | − | 10.4744i | −0.513466 | − | 0.382472i | ||||
\(751\) | 43.4465 | 1.58539 | 0.792693 | − | 0.609621i | \(-0.208678\pi\) | ||||
0.792693 | + | 0.609621i | \(0.208678\pi\) | |||||||
\(752\) | 6.53683 | + | 11.3221i | 0.238374 | + | 0.412876i | ||||
\(753\) | −53.2995 | − | 6.24413i | −1.94234 | − | 0.227549i | ||||
\(754\) | 0.196833 | + | 0.129303i | 0.00716823 | + | 0.00470894i | ||||
\(755\) | −11.4433 | −0.416464 | ||||||||
\(756\) | 0.258532 | − | 13.7453i | 0.00940273 | − | 0.499912i | ||||
\(757\) | 4.02158 | − | 6.96557i | 0.146167 | − | 0.253168i | −0.783641 | − | 0.621214i | \(-0.786640\pi\) |
0.929808 | + | 0.368046i | \(0.119973\pi\) | |||||||
\(758\) | 27.3847 | + | 15.8106i | 0.994656 | + | 0.574265i | ||||
\(759\) | 4.54281 | + | 0.532198i | 0.164893 | + | 0.0193176i | ||||
\(760\) | 0.0350810 | 0.00127252 | ||||||||
\(761\) | 17.3333 | − | 30.0222i | 0.628332 | − | 1.08830i | −0.359554 | − | 0.933124i | \(-0.617071\pi\) |
0.987886 | − | 0.155179i | \(-0.0495955\pi\) | |||||||
\(762\) | −0.00504732 | + | 0.00217562i | −0.000182845 | + | 7.88143e-5i | ||||
\(763\) | −16.7262 | − | 3.26094i | −0.605530 | − | 0.118054i | ||||
\(764\) | 0.971600 | + | 0.560953i | 0.0351512 | + | 0.0202946i | ||||
\(765\) | −5.25453 | + | 5.56357i | −0.189978 | + | 0.201151i | ||||
\(766\) | −22.8482 | − | 13.1914i | −0.825539 | − | 0.476625i | ||||
\(767\) | −0.749957 | + | 13.0001i | −0.0270794 | + | 0.469406i | ||||
\(768\) | 1.03468 | − | 1.38904i | 0.0373357 | − | 0.0501228i | ||||
\(769\) | −37.8048 | − | 21.8266i | −1.36328 | − | 0.787089i | −0.373219 | − | 0.927743i | \(-0.621746\pi\) |
−0.990059 | + | 0.140655i | \(0.955079\pi\) | |||||||
\(770\) | 2.80232 | + | 0.546341i | 0.100989 | + | 0.0196888i | ||||
\(771\) | −32.3709 | + | 43.4577i | −1.16581 | + | 1.56509i | ||||
\(772\) | −8.37481 | − | 14.5056i | −0.301416 | − | 0.522068i | ||||
\(773\) | −30.7181 | −1.10485 | −0.552426 | − | 0.833562i | \(-0.686298\pi\) | ||||
−0.552426 | + | 0.833562i | \(0.686298\pi\) | |||||||
\(774\) | −11.9867 | − | 11.3209i | −0.430854 | − | 0.406922i | ||||
\(775\) | 13.1904 | − | 7.61548i | 0.473813 | − | 0.273556i | ||||
\(776\) | 5.04896 | + | 8.74505i | 0.181247 | + | 0.313929i | ||||
\(777\) | 12.8478 | + | 4.10368i | 0.460913 | + | 0.147219i | ||||
\(778\) | 11.7596 | − | 20.3683i | 0.421603 | − | 0.730238i | ||||
\(779\) | −0.207912 | + | 0.120038i | −0.00744922 | + | 0.00430081i | ||||
\(780\) | −1.27132 | + | 7.22217i | −0.0455205 | + | 0.258595i | ||||
\(781\) | −4.32990 | + | 7.49960i | −0.154936 | + | 0.268357i | ||||
\(782\) | 6.24232 | 0.223225 | ||||||||
\(783\) | 0.217954 | + | 0.260167i | 0.00778905 | + | 0.00929763i | ||||
\(784\) | −5.52089 | + | 4.30346i | −0.197175 | + | 0.153695i | ||||
\(785\) | − | 10.4233i | − | 0.372024i | ||||||
\(786\) | −1.45289 | + | 12.4018i | −0.0518228 | + | 0.442356i | ||||
\(787\) | − | 49.2113i | − | 1.75419i | −0.480315 | − | 0.877096i | \(-0.659478\pi\) | ||
0.480315 | − | 0.877096i | \(-0.340522\pi\) | |||||||
\(788\) | −18.6511 | − | 10.7682i | −0.664416 | − | 0.383601i | ||||
\(789\) | 0.660573 | − | 5.63861i | 0.0235170 | − | 0.200740i | ||||
\(790\) | 7.54599 | + | 4.35668i | 0.268474 | + | 0.155004i | ||||
\(791\) | −42.3392 | − | 36.8465i | −1.50541 | − | 1.31011i | ||||
\(792\) | −1.89300 | + | 2.00433i | −0.0672647 | + | 0.0712208i | ||||
\(793\) | 1.50380 | − | 2.28917i | 0.0534014 | − | 0.0812908i | ||||
\(794\) | 5.57094 | − | 9.64915i | 0.197705 | − | 0.342436i | ||||
\(795\) | −3.30912 | − | 2.46491i | −0.117362 | − | 0.0874213i | ||||
\(796\) | − | 13.0222i | − | 0.461561i | ||||||
\(797\) | −5.88110 | − | 10.1864i | −0.208319 | − | 0.360819i | 0.742866 | − | 0.669440i | \(-0.233466\pi\) |
−0.951185 | + | 0.308621i | \(0.900133\pi\) | |||||||
\(798\) | 0.101281 | − | 0.0921143i | 0.00358533 | − | 0.00326081i | ||||
\(799\) | −14.2003 | − | 24.5957i | −0.502371 | − | 0.870132i | ||||
\(800\) | −3.13599 | − | 1.81056i | −0.110874 | − | 0.0640131i | ||||
\(801\) | 8.61870 | + | 28.8441i | 0.304527 | + | 1.01916i | ||||
\(802\) | −1.12561 | −0.0397466 | ||||||||
\(803\) | 2.48839 | 0.0878133 | ||||||||
\(804\) | −22.5048 | − | 2.63648i | −0.793684 | − | 0.0929815i | ||||
\(805\) | −6.73435 | − | 5.86069i | −0.237355 | − | 0.206562i | ||||
\(806\) | −12.6751 | − | 8.32654i | −0.446463 | − | 0.293290i | ||||
\(807\) | −8.11916 | + | 10.8999i | −0.285808 | + | 0.383695i | ||||
\(808\) | 7.66394 | − | 4.42478i | 0.269616 | − | 0.155663i | ||||
\(809\) | 42.6424 | − | 24.6196i | 1.49923 | − | 0.865579i | 0.499227 | − | 0.866471i | \(-0.333617\pi\) |
1.00000 | 0.000892258i | \(0.000284015\pi\) | ||||||||
\(810\) | −4.75304 | + | 9.43913i | −0.167005 | + | 0.331657i | ||||
\(811\) | 24.8223i | 0.871628i | 0.900037 | + | 0.435814i | \(0.143539\pi\) | ||||
−0.900037 | + | 0.435814i | \(0.856461\pi\) | |||||||
\(812\) | 0.0330691 | − | 0.169620i | 0.00116050 | − | 0.00595248i | ||||
\(813\) | −15.5035 | − | 11.5483i | −0.543732 | − | 0.405018i | ||||
\(814\) | −1.35236 | − | 2.34236i | −0.0474002 | − | 0.0820996i | ||||
\(815\) | −3.66093 | −0.128237 | ||||||||
\(816\) | −2.24768 | + | 3.01749i | −0.0786846 | + | 0.105633i | ||||
\(817\) | − | 0.164191i | − | 0.00574431i | ||||||
\(818\) | −9.06948 | −0.317107 | ||||||||
\(819\) | 15.2933 | + | 24.1891i | 0.534392 | + | 0.845237i | ||||
\(820\) | −9.43628 | −0.329529 | ||||||||
\(821\) | − | 35.0049i | − | 1.22168i | −0.791754 | − | 0.610840i | \(-0.790832\pi\) | ||
0.791754 | − | 0.610840i | \(-0.209168\pi\) | |||||||
\(822\) | 21.2941 | − | 28.5871i | 0.742716 | − | 0.997089i | ||||
\(823\) | −5.33806 | −0.186073 | −0.0930365 | − | 0.995663i | \(-0.529657\pi\) | ||||
−0.0930365 | + | 0.995663i | \(0.529657\pi\) | |||||||
\(824\) | 4.99621 | + | 8.65368i | 0.174051 | + | 0.301465i | ||||
\(825\) | 4.62240 | + | 3.44316i | 0.160931 | + | 0.119875i | ||||
\(826\) | 9.03648 | − | 3.10586i | 0.314419 | − | 0.108067i | ||||
\(827\) | − | 19.8191i | − | 0.689178i | −0.938754 | − | 0.344589i | \(-0.888018\pi\) | ||
0.938754 | − | 0.344589i | \(-0.111982\pi\) | |||||||
\(828\) | 8.25975 | − | 2.46804i | 0.287046 | − | 0.0857703i | ||||
\(829\) | −7.97067 | + | 4.60187i | −0.276833 | + | 0.159830i | −0.631989 | − | 0.774978i | \(-0.717761\pi\) |
0.355156 | + | 0.934807i | \(0.384428\pi\) | |||||||
\(830\) | 12.0746 | − | 6.97127i | 0.419116 | − | 0.241976i | ||||
\(831\) | 19.7527 | − | 26.5178i | 0.685214 | − | 0.919893i | ||||
\(832\) | −0.207654 | + | 3.59957i | −0.00719910 | + | 0.124793i | ||||
\(833\) | 11.9933 | − | 9.34864i | 0.415544 | − | 0.323911i | ||||
\(834\) | −10.8921 | − | 1.27602i | −0.377161 | − | 0.0441851i | ||||
\(835\) | 8.67541 | 0.300225 | ||||||||
\(836\) | −0.0274548 | −0.000949543 | ||||||||
\(837\) | −14.0353 | − | 16.7536i | −0.485130 | − | 0.579090i | ||||
\(838\) | 24.5576 | + | 14.1783i | 0.848328 | + | 0.489782i | ||||
\(839\) | 16.4881 | + | 28.5582i | 0.569231 | + | 0.985937i | 0.996642 | + | 0.0818800i | \(0.0260924\pi\) |
−0.427411 | + | 0.904057i | \(0.640574\pi\) | |||||||
\(840\) | 5.25786 | − | 1.14507i | 0.181413 | − | 0.0395086i | ||||
\(841\) | −14.4979 | − | 25.1110i | −0.499926 | − | 0.865898i | ||||
\(842\) | − | 19.4027i | − | 0.668660i | ||||||
\(843\) | 17.1374 | + | 12.7654i | 0.590242 | + | 0.439662i | ||||
\(844\) | 10.6556 | − | 18.4561i | 0.366781 | − | 0.635284i | ||||
\(845\) | −6.06177 | − | 14.0101i | −0.208531 | − | 0.481964i | ||||
\(846\) | −28.5141 | − | 26.9302i | −0.980334 | − | 0.925879i | ||||
\(847\) | 26.3723 | + | 5.14155i | 0.906164 | + | 0.176666i | ||||
\(848\) | −1.75697 | − | 1.01439i | −0.0603346 | − | 0.0348342i | ||||
\(849\) | −2.17348 | + | 18.5527i | −0.0745936 | + | 0.636727i | ||||
\(850\) | 6.81247 | + | 3.93318i | 0.233666 | + | 0.134907i | ||||
\(851\) | 8.45728i | 0.289912i | ||||||||
\(852\) | −1.89911 | + | 16.2106i | −0.0650623 | + | 0.555368i | ||||
\(853\) | 8.39823i | 0.287550i | 0.989610 | + | 0.143775i | \(0.0459241\pi\) | ||||
−0.989610 | + | 0.143775i | \(0.954076\pi\) | |||||||
\(854\) | −1.97268 | − | 0.384594i | −0.0675038 | − | 0.0131605i | ||||
\(855\) | −0.100838 | + | 0.0301306i | −0.00344857 | + | 0.00103044i | ||||
\(856\) | 4.08949 | 0.139776 | ||||||||
\(857\) | −20.9307 | + | 36.2531i | −0.714980 | + | 1.23838i | 0.247988 | + | 0.968763i | \(0.420231\pi\) |
−0.962967 | + | 0.269618i | \(0.913103\pi\) | |||||||
\(858\) | 0.994948 | − | 5.65215i | 0.0339670 | − | 0.192961i | ||||
\(859\) | −22.3299 | + | 12.8922i | −0.761887 | + | 0.439875i | −0.829973 | − | 0.557804i | \(-0.811644\pi\) |
0.0680860 | + | 0.997679i | \(0.478311\pi\) | |||||||
\(860\) | 3.22679 | − | 5.58897i | 0.110033 | − | 0.190582i | ||||
\(861\) | −27.2433 | + | 24.7774i | −0.928449 | + | 0.844413i | ||||
\(862\) | −8.86192 | − | 15.3493i | −0.301838 | − | 0.522799i | ||||
\(863\) | −23.6109 | + | 13.6317i | −0.803724 | + | 0.464030i | −0.844772 | − | 0.535127i | \(-0.820264\pi\) |
0.0410479 | + | 0.999157i | \(0.486930\pi\) | |||||||
\(864\) | −1.78107 | + | 4.88137i | −0.0605932 | + | 0.166068i | ||||
\(865\) | 11.7146 | 0.398309 | ||||||||
\(866\) | 0.188157 | + | 0.325897i | 0.00639382 | + | 0.0110744i | ||||
\(867\) | −12.7067 | + | 17.0587i | −0.431544 | + | 0.579344i | ||||
\(868\) | −2.12950 | + | 10.9227i | −0.0722799 | + | 0.370742i | ||||
\(869\) | −5.90557 | − | 3.40958i | −0.200333 | − | 0.115662i | ||||
\(870\) | −0.0793587 | + | 0.106538i | −0.00269051 | + | 0.00361199i | ||||
\(871\) | 42.1391 | − | 21.1922i | 1.42783 | − | 0.718071i | ||||
\(872\) | 5.57802 | + | 3.22047i | 0.188895 | + | 0.109059i | ||||
\(873\) | −22.0238 | − | 20.8005i | −0.745394 | − | 0.703990i | ||||
\(874\) | 0.0743458 | + | 0.0429236i | 0.00251478 | + | 0.00145191i | ||||
\(875\) | −8.70586 | − | 25.3296i | −0.294312 | − | 0.856297i | ||||
\(876\) | 4.30690 | − | 1.85646i | 0.145517 | − | 0.0627241i | ||||
\(877\) | −9.69170 | + | 16.7865i | −0.327266 | + | 0.566841i | −0.981968 | − | 0.189046i | \(-0.939461\pi\) |
0.654703 | + | 0.755887i | \(0.272794\pi\) | |||||||
\(878\) | −28.0432 | −0.946411 | ||||||||
\(879\) | −30.7380 | − | 3.60101i | −1.03677 | − | 0.121459i | ||||
\(880\) | −0.934545 | − | 0.539560i | −0.0315035 | − | 0.0181886i | ||||
\(881\) | −2.46823 | + | 4.27510i | −0.0831568 | + | 0.144032i | −0.904604 | − | 0.426252i | \(-0.859834\pi\) |
0.821447 | + | 0.570284i | \(0.193167\pi\) | |||||||
\(882\) | 12.1732 | − | 17.1118i | 0.409892 | − | 0.576184i | ||||
\(883\) | 50.5405 | 1.70082 | 0.850411 | − | 0.526118i | \(-0.176353\pi\) | ||||
0.850411 | + | 0.526118i | \(0.176353\pi\) | |||||||
\(884\) | 0.451097 | − | 7.81953i | 0.0151720 | − | 0.262999i | ||||
\(885\) | −7.29557 | − | 0.854688i | −0.245238 | − | 0.0287300i | ||||
\(886\) | −8.04074 | − | 13.9270i | −0.270134 | − | 0.467886i | ||||
\(887\) | 51.6838 | 1.73537 | 0.867687 | − | 0.497111i | \(-0.165606\pi\) | ||||
0.867687 | + | 0.497111i | \(0.165606\pi\) | |||||||
\(888\) | −4.08819 | − | 3.04523i | −0.137191 | − | 0.102191i | ||||
\(889\) | −0.00824051 | − | 0.00160657i | −0.000276378 | − | 5.38827e-5i | ||||
\(890\) | −10.2047 | + | 5.89166i | −0.342061 | + | 0.197489i | ||||
\(891\) | 3.71978 | − | 7.38717i | 0.124617 | − | 0.247479i | ||||
\(892\) | −20.1451 | − | 11.6308i | −0.674509 | − | 0.389428i | ||||
\(893\) | − | 0.390578i | − | 0.0130702i | ||||||
\(894\) | −5.01166 | − | 11.6268i | −0.167615 | − | 0.388859i | ||||
\(895\) | −16.4214 | − | 9.48089i | −0.548907 | − | 0.316911i | ||||
\(896\) | 2.50209 | − | 0.859975i | 0.0835889 | − | 0.0287297i | ||||
\(897\) | −11.5310 | + | 13.7501i | −0.385009 | + | 0.459104i | ||||
\(898\) | −17.4345 | − | 30.1974i | −0.581796 | − | 1.00770i | ||||
\(899\) | −0.137367 | − | 0.237926i | −0.00458143 | − | 0.00793527i | ||||
\(900\) | 10.5692 | + | 2.51087i | 0.352308 | + | 0.0836956i | ||||
\(901\) | 3.81676 | + | 2.20361i | 0.127155 | + | 0.0734128i | ||||
\(902\) | 7.38494 | 0.245892 | ||||||||
\(903\) | −5.35931 | − | 24.6086i | −0.178347 | − | 0.818922i | ||||
\(904\) | 10.6071 | + | 18.3720i | 0.352785 | + | 0.611042i | ||||
\(905\) | 11.9566 | − | 6.90313i | 0.397450 | − | 0.229468i | ||||
\(906\) | 15.5005 | − | 6.68137i | 0.514968 | − | 0.221974i | ||||
\(907\) | −3.09477 | − | 5.36029i | −0.102760 | − | 0.177986i | 0.810061 | − | 0.586346i | \(-0.199434\pi\) |
−0.912821 | + | 0.408360i | \(0.866101\pi\) | |||||||
\(908\) | 23.3571 | 0.775133 | ||||||||
\(909\) | −18.2290 | + | 19.3011i | −0.604618 | + | 0.640178i | ||||
\(910\) | −7.82812 | + | 8.01235i | −0.259500 | + | 0.265607i | ||||
\(911\) | 24.1747i | 0.800943i | 0.916309 | + | 0.400472i | \(0.131154\pi\) | ||||
−0.916309 | + | 0.400472i | \(0.868846\pi\) | |||||||
\(912\) | −0.0475187 | + | 0.0204827i | −0.00157350 | + | 0.000678248i | ||||
\(913\) | −9.44972 | + | 5.45580i | −0.312740 | + | 0.180561i | ||||
\(914\) | − | 2.79700i | − | 0.0925166i | ||||||
\(915\) | 1.23904 | + | 0.922944i | 0.0409615 | + | 0.0305116i | ||||
\(916\) | −3.19792 | + | 1.84632i | −0.105662 | + | 0.0610042i | ||||
\(917\) | −12.5214 | + | 14.3880i | −0.413494 | + | 0.475134i | ||||
\(918\) | 3.86911 | − | 10.6041i | 0.127700 | − | 0.349986i | ||||
\(919\) | 24.9444 | − | 43.2049i | 0.822839 | − | 1.42520i | −0.0807208 | − | 0.996737i | \(-0.525722\pi\) |
0.903560 | − | 0.428462i | \(-0.140944\pi\) | |||||||
\(920\) | 1.68713 | + | 2.92219i | 0.0556229 | + | 0.0963417i | ||||
\(921\) | 22.2224 | + | 16.5531i | 0.732254 | + | 0.545444i | ||||
\(922\) | 20.0109 | − | 11.5533i | 0.659024 | − | 0.380488i | ||||
\(923\) | −15.2652 | − | 30.3536i | −0.502459 | − | 0.999100i | ||||
\(924\) | −4.11486 | + | 0.896143i | −0.135369 | + | 0.0294809i | ||||
\(925\) | −5.32879 | + | 9.22974i | −0.175210 | + | 0.303472i | ||||
\(926\) | − | 7.03737i | − | 0.231262i | ||||||
\(927\) | −21.7938 | − | 20.5832i | −0.715801 | − | 0.676040i | ||||
\(928\) | −0.0326586 | + | 0.0565664i | −0.00107207 | + | 0.00185688i | ||||
\(929\) | −11.2582 | + | 19.4998i | −0.369369 | + | 0.639767i | −0.989467 | − | 0.144758i | \(-0.953760\pi\) |
0.620098 | + | 0.784525i | \(0.287093\pi\) | |||||||
\(930\) | 5.11034 | − | 6.86058i | 0.167575 | − | 0.224967i | ||||
\(931\) | 0.207123 | − | 0.0288733i | 0.00678818 | − | 0.000946284i | ||||
\(932\) | 7.98666 | − | 4.61110i | 0.261612 | − | 0.151042i | ||||
\(933\) | 10.2873 | + | 23.8660i | 0.336790 | + | 0.781337i | ||||
\(934\) | 25.5287 | − | 14.7390i | 0.835323 | − | 0.482274i | ||||
\(935\) | 2.03016 | + | 1.17211i | 0.0663934 | + | 0.0383322i | ||||
\(936\) | −2.49474 | − | 10.5250i | −0.0815430 | − | 0.344021i | ||||
\(937\) | − | 50.9552i | − | 1.66463i | −0.554300 | − | 0.832317i | \(-0.687014\pi\) | ||
0.554300 | − | 0.832317i | \(-0.312986\pi\) | |||||||
\(938\) | −26.1092 | − | 22.7220i | −0.852494 | − | 0.741898i | ||||
\(939\) | −1.85305 | + | 15.8175i | −0.0604719 | + | 0.516184i | ||||
\(940\) | 7.67590 | − | 13.2950i | 0.250360 | − | 0.433637i | ||||
\(941\) | 7.47373 | − | 12.9449i | 0.243637 | − | 0.421991i | −0.718111 | − | 0.695929i | \(-0.754993\pi\) |
0.961747 | + | 0.273938i | \(0.0883263\pi\) | |||||||
\(942\) | 6.08584 | + | 14.1188i | 0.198287 | + | 0.460017i | ||||
\(943\) | −19.9980 | − | 11.5458i | −0.651223 | − | 0.375984i | ||||
\(944\) | −3.61157 | −0.117547 | ||||||||
\(945\) | −14.1298 | + | 7.80732i | −0.459644 | + | 0.253972i | ||||
\(946\) | −2.52532 | + | 4.37399i | −0.0821053 | + | 0.142211i | ||||
\(947\) | 2.69835i | 0.0876847i | 0.999038 | + | 0.0438424i | \(0.0139599\pi\) | ||||
−0.999038 | + | 0.0438424i | \(0.986040\pi\) | |||||||
\(948\) | −12.7651 | − | 1.49545i | −0.414591 | − | 0.0485701i | ||||
\(949\) | −5.36033 | + | 8.15980i | −0.174004 | + | 0.264878i | ||||
\(950\) | 0.0540908 | + | 0.0936881i | 0.00175494 | + | 0.00303964i | ||||
\(951\) | −6.11770 | + | 52.2203i | −0.198380 | + | 1.69336i | ||||
\(952\) | −5.43542 | + | 1.86817i | −0.176163 | + | 0.0605477i | ||||
\(953\) | −17.2962 | + | 9.98599i | −0.560280 | + | 0.323478i | −0.753258 | − | 0.657725i | \(-0.771519\pi\) |
0.192978 | + | 0.981203i | \(0.438185\pi\) | |||||||
\(954\) | 5.92153 | + | 1.40674i | 0.191716 | + | 0.0455449i | ||||
\(955\) | − | 1.31740i | − | 0.0426302i | ||||||
\(956\) | 13.3075i | 0.430394i | ||||||||
\(957\) | 0.0621070 | − | 0.0833780i | 0.00200763 | − | 0.00269523i | ||||
\(958\) | −12.8520 | + | 7.42009i | −0.415229 | + | 0.239732i | ||||
\(959\) | 51.4940 | − | 17.6986i | 1.66283 | − | 0.571519i | ||||
\(960\) | −2.02005 | − | 0.236653i | −0.0651969 | − | 0.00763793i | ||||
\(961\) | −6.65421 | − | 11.5254i | −0.214652 | − | 0.371788i | ||||
\(962\) | 10.5941 | + | 0.611159i | 0.341568 | + | 0.0197046i | ||||
\(963\) | −11.7549 | + | 3.51241i | −0.378797 | + | 0.113186i | ||||
\(964\) | 25.7424i | 0.829107i | ||||||||
\(965\) | −9.83415 | + | 17.0332i | −0.316572 | + | 0.548319i | ||||
\(966\) | 12.5438 | + | 4.00659i | 0.403592 | + | 0.128910i | ||||
\(967\) | −27.3039 | −0.878035 | −0.439017 | − | 0.898479i | \(-0.644673\pi\) | ||||
−0.439017 | + | 0.898479i | \(0.644673\pi\) | |||||||
\(968\) | −8.79489 | − | 5.07773i | −0.282679 | − | 0.163205i | ||||
\(969\) | 0.103227 | − | 0.0444955i | 0.00331614 | − | 0.00142940i | ||||
\(970\) | 5.92875 | − | 10.2689i | 0.190361 | − | 0.329715i | ||||
\(971\) | 7.74032 | − | 13.4066i | 0.248399 | − | 0.430239i | −0.714683 | − | 0.699449i | \(-0.753429\pi\) |
0.963082 | + | 0.269209i | \(0.0867623\pi\) | |||||||
\(972\) | 0.926997 | − | 15.5609i | 0.0297335 | − | 0.499115i | ||||
\(973\) | −12.6365 | − | 10.9972i | −0.405108 | − | 0.352553i | ||||
\(974\) | 26.0894i | 0.835957i | ||||||||
\(975\) | −21.2479 | + | 7.74055i | −0.680478 | + | 0.247896i | ||||
\(976\) | 0.657869 | + | 0.379821i | 0.0210579 | + | 0.0121578i | ||||
\(977\) | 19.4291 | − | 11.2174i | 0.621591 | − | 0.358876i | −0.155897 | − | 0.987773i | \(-0.549827\pi\) |
0.777488 | + | 0.628897i | \(0.216493\pi\) | |||||||
\(978\) | 4.95889 | − | 2.13750i | 0.158568 | − | 0.0683496i | ||||
\(979\) | 7.98628 | − | 4.61088i | 0.255242 | − | 0.147364i | ||||
\(980\) | 7.61780 | + | 3.08769i | 0.243342 | + | 0.0986328i | ||||
\(981\) | −18.7996 | − | 4.46611i | −0.600225 | − | 0.142592i | ||||
\(982\) | −11.1408 | + | 19.2964i | −0.355516 | + | 0.615772i | ||||
\(983\) | 1.46260 | − | 2.53330i | 0.0466498 | − | 0.0807999i | −0.841758 | − | 0.539856i | \(-0.818479\pi\) |
0.888407 | + | 0.459056i | \(0.151812\pi\) | |||||||
\(984\) | 12.7819 | − | 5.50954i | 0.407471 | − | 0.175638i | ||||
\(985\) | 25.2892i | 0.805780i | ||||||||
\(986\) | 0.0709460 | − | 0.122882i | 0.00225938 | − | 0.00391336i | ||||
\(987\) | −12.7487 | − | 58.5389i | −0.405797 | − | 1.86332i | ||||
\(988\) | 0.0591413 | − | 0.0900284i | 0.00188154 | − | 0.00286418i | ||||
\(989\) | 13.6768 | − | 7.89633i | 0.434898 | − | 0.251089i | ||||
\(990\) | 3.14970 | + | 0.748255i | 0.100104 | + | 0.0237811i | ||||
\(991\) | 8.30241 | + | 14.3802i | 0.263735 | + | 0.456802i | 0.967231 | − | 0.253897i | \(-0.0817123\pi\) |
−0.703497 | + | 0.710699i | \(0.748379\pi\) | |||||||
\(992\) | 2.10307 | − | 3.64262i | 0.0667725 | − | 0.115653i | ||||
\(993\) | 20.7412 | + | 48.1185i | 0.658201 | + | 1.52699i | ||||
\(994\) | −16.3671 | + | 18.8069i | −0.519131 | + | 0.596519i | ||||
\(995\) | −13.2427 | + | 7.64570i | −0.419823 | + | 0.242385i | ||||
\(996\) | −12.2853 | + | 16.4929i | −0.389274 | + | 0.522597i | ||||
\(997\) | 43.6283i | 1.38172i | 0.722988 | + | 0.690860i | \(0.242768\pi\) | ||||
−0.722988 | + | 0.690860i | \(0.757232\pi\) | |||||||
\(998\) | −19.6649 | + | 11.3535i | −0.622481 | + | 0.359390i | ||||
\(999\) | 14.3667 | + | 5.24198i | 0.454542 | + | 0.165849i |
(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 | 546.2.bb.a.269.13 | yes | 76 | |
3.2 | odd | 2 | inner | 546.2.bb.a.269.38 | yes | 76 | |
7.5 | odd | 6 | 546.2.u.a.425.7 | yes | 76 | ||
13.3 | even | 3 | 546.2.u.a.185.32 | yes | 76 | ||
21.5 | even | 6 | 546.2.u.a.425.32 | yes | 76 | ||
39.29 | odd | 6 | 546.2.u.a.185.7 | ✓ | 76 | ||
91.68 | odd | 6 | inner | 546.2.bb.a.341.19 | yes | 76 | |
273.68 | even | 6 | inner | 546.2.bb.a.341.32 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.u.a.185.7 | ✓ | 76 | 39.29 | odd | 6 | ||
546.2.u.a.185.32 | yes | 76 | 13.3 | even | 3 | ||
546.2.u.a.425.7 | yes | 76 | 7.5 | odd | 6 | ||
546.2.u.a.425.32 | yes | 76 | 21.5 | even | 6 | ||
546.2.bb.a.269.13 | yes | 76 | 1.1 | even | 1 | trivial | |
546.2.bb.a.269.38 | yes | 76 | 3.2 | odd | 2 | inner | |
546.2.bb.a.341.19 | yes | 76 | 91.68 | odd | 6 | inner | |
546.2.bb.a.341.32 | yes | 76 | 273.68 | even | 6 | inner |