Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,4,Mod(41,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5, 3]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.41");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.x (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: | \(14.8684813214\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 41.2 | ||
Character | \(\chi\) | \(=\) | 252.41 |
Dual form | 252.4.x.a.209.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −5.09172 | − | 1.03651i | −0.979903 | − | 0.199476i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −10.5571 | + | 18.2854i | −0.944252 | + | 1.63549i | −0.187010 | + | 0.982358i | \(0.559880\pi\) |
−0.757242 | + | 0.653135i | \(0.773454\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.11592 | + | 18.0571i | −0.222239 | + | 0.974992i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 24.8513 | + | 10.5552i | 0.920419 | + | 0.390934i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −21.5235 | + | 12.4266i | −0.589963 | + | 0.340615i | −0.765083 | − | 0.643932i | \(-0.777302\pi\) |
0.175120 | + | 0.984547i | \(0.443969\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −52.5651 | − | 30.3485i | −1.12146 | − | 0.647473i | −0.179684 | − | 0.983724i | \(-0.557507\pi\) |
−0.941772 | + | 0.336251i | \(0.890841\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 72.7066 | − | 82.1615i | 1.25152 | − | 1.41427i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 117.397 | 1.67489 | 0.837443 | − | 0.546525i | \(-0.184050\pi\) | ||||
0.837443 | + | 0.546525i | \(0.184050\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 104.946i | 1.26717i | 0.773672 | + | 0.633586i | \(0.218418\pi\) | ||||
−0.773672 | + | 0.633586i | \(0.781582\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 39.6735 | − | 87.6756i | 0.412260 | − | 0.911066i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −17.4885 | − | 10.0970i | −0.158548 | − | 0.0915379i | 0.418627 | − | 0.908158i | \(-0.362512\pi\) |
−0.577175 | + | 0.816621i | \(0.695845\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −160.403 | − | 277.826i | −1.28322 | − | 2.22261i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −115.595 | − | 79.5029i | −0.823939 | − | 0.566679i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −24.2671 | + | 14.0106i | −0.155390 | + | 0.0897142i | −0.575679 | − | 0.817676i | \(-0.695262\pi\) |
0.420289 | + | 0.907390i | \(0.361929\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −216.679 | − | 125.100i | −1.25538 | − | 0.724794i | −0.283207 | − | 0.959059i | \(-0.591398\pi\) |
−0.972173 | + | 0.234265i | \(0.924732\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 122.472 | − | 40.9636i | 0.646051 | − | 0.216086i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −286.729 | − | 265.891i | −1.38474 | − | 1.28411i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 18.2279 | 0.0809904 | 0.0404952 | − | 0.999180i | \(-0.487106\pi\) | ||||
0.0404952 | + | 0.999180i | \(0.487106\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 236.190 | + | 209.010i | 0.969763 | + | 0.858164i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 153.058 | − | 265.105i | 0.583016 | − | 1.00981i | −0.412103 | − | 0.911137i | \(-0.635206\pi\) |
0.995120 | − | 0.0986769i | \(-0.0314610\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 74.5402 | + | 129.107i | 0.264355 | + | 0.457877i | 0.967395 | − | 0.253274i | \(-0.0815075\pi\) |
−0.703039 | + | 0.711151i | \(0.748174\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −455.363 | + | 342.983i | −1.50848 | + | 1.13620i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 108.676 | + | 188.233i | 0.337278 | + | 0.584182i | 0.983920 | − | 0.178611i | \(-0.0571605\pi\) |
−0.646642 | + | 0.762794i | \(0.723827\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −309.118 | − | 148.643i | −0.901220 | − | 0.433362i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −597.755 | − | 121.683i | −1.64122 | − | 0.334099i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 116.324i | 0.301479i | 0.988574 | + | 0.150739i | \(0.0481655\pi\) | ||||
−0.988574 | + | 0.150739i | \(0.951835\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 524.754i | − | 1.28651i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 108.777 | − | 534.356i | 0.252770 | − | 1.24171i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −38.3919 | + | 66.4967i | −0.0847153 | + | 0.146731i | −0.905270 | − | 0.424837i | \(-0.860331\pi\) |
0.820555 | + | 0.571568i | \(0.193665\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 493.712 | − | 285.045i | 1.03629 | − | 0.598300i | 0.117506 | − | 0.993072i | \(-0.462510\pi\) |
0.918779 | + | 0.394773i | \(0.129177\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −292.883 | + | 405.298i | −0.585711 | + | 0.810520i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1109.87 | − | 640.781i | 2.11787 | − | 1.22276i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −33.8430 | + | 58.6179i | −0.0617102 | + | 0.106885i | −0.895230 | − | 0.445604i | \(-0.852989\pi\) |
0.833520 | + | 0.552490i | \(0.186322\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 78.5811 | + | 69.5382i | 0.137102 | + | 0.121325i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 796.967i | − | 1.33215i | −0.745886 | − | 0.666074i | \(-0.767973\pi\) | ||
0.745886 | − | 0.666074i | \(-0.232027\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 710.481i | 1.13912i | 0.821951 | + | 0.569558i | \(0.192886\pi\) | ||||
−0.821951 | + | 0.569558i | \(0.807114\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 528.759 | + | 1580.87i | 0.814077 | + | 2.43391i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −135.800 | − | 439.800i | −0.200984 | − | 0.650907i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −40.0640 | − | 69.3928i | −0.0570576 | − | 0.0988266i | 0.836086 | − | 0.548599i | \(-0.184839\pi\) |
−0.893143 | + | 0.449772i | \(0.851505\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 506.174 | + | 524.622i | 0.694341 | + | 0.719646i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −57.6203 | − | 99.8013i | −0.0762006 | − | 0.131983i | 0.825407 | − | 0.564538i | \(-0.190946\pi\) |
−0.901608 | + | 0.432555i | \(0.857612\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1239.37 | + | 2146.65i | −1.58151 | + | 2.73926i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 138.084 | − | 46.1852i | 0.170162 | − | 0.0569147i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1055.26 | 1.25682 | 0.628409 | − | 0.777883i | \(-0.283706\pi\) | ||||
0.628409 | + | 0.777883i | \(0.283706\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 764.359 | − | 824.261i | 0.880512 | − | 0.949517i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 973.605 | + | 861.564i | 1.08557 | + | 0.960646i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1918.98 | − | 1107.92i | −2.07245 | − | 1.19653i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 444.295 | − | 256.514i | 0.465065 | − | 0.268505i | −0.249106 | − | 0.968476i | \(-0.580137\pi\) |
0.714172 | + | 0.699971i | \(0.246804\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −666.054 | + | 81.6319i | −0.676171 | + | 0.0828719i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −83.3542 | − | 144.374i | −0.0821193 | − | 0.142235i | 0.822041 | − | 0.569429i | \(-0.192836\pi\) |
−0.904160 | + | 0.427194i | \(0.859502\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1304.16 | − | 752.955i | −1.24760 | − | 0.720300i | −0.276967 | − | 0.960879i | \(-0.589329\pi\) |
−0.970629 | + | 0.240579i | \(0.922663\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1184.35 | + | 1651.04i | 1.10076 | + | 1.53452i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 776.966i | 0.701983i | 0.936379 | + | 0.350991i | \(0.114155\pi\) | ||||
−0.936379 | + | 0.350991i | \(0.885845\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −562.383 | −0.494189 | −0.247094 | − | 0.968991i | \(-0.579476\pi\) | ||||
−0.247094 | + | 0.968991i | \(0.579476\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −92.8114 | − | 18.8934i | −0.0793628 | − | 0.0161557i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1648.89 | + | 951.987i | 1.37270 | + | 0.792526i | 0.991267 | − | 0.131872i | \(-0.0420989\pi\) |
0.381429 | + | 0.924398i | \(0.375432\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 369.255 | − | 213.189i | 0.299419 | − | 0.172870i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −985.976 | − | 1309.04i | −0.779090 | − | 1.03436i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −483.198 | + | 2119.86i | −0.372225 | + | 1.63300i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −356.658 | + | 617.750i | −0.267963 | + | 0.464125i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1054.11 | + | 1191.19i | −0.772733 | + | 0.873222i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4134.27 | 2.95824 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2470.46 | −1.72612 | −0.863062 | − | 0.505098i | \(-0.831456\pi\) | ||||
−0.863062 | + | 0.505098i | \(0.831456\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −245.717 | − | 734.641i | −0.167707 | − | 0.501407i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 199.978 | − | 346.373i | 0.133375 | − | 0.231013i | −0.791600 | − | 0.611039i | \(-0.790752\pi\) |
0.924976 | + | 0.380026i | \(0.124085\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1895.02 | − | 431.950i | −1.23548 | − | 0.281615i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2674.09 | − | 1274.39i | 1.70481 | − | 0.812458i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2065.15 | + | 1192.31i | −1.28787 | + | 0.743550i | −0.978273 | − | 0.207320i | \(-0.933526\pi\) |
−0.309592 | + | 0.950869i | \(0.600193\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 570.066 | + | 329.128i | 0.347859 | + | 0.200836i | 0.663742 | − | 0.747962i | \(-0.268967\pi\) |
−0.315883 | + | 0.948798i | \(0.602301\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −358.245 | − | 1071.07i | −0.213969 | − | 0.639721i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1508.52 | 0.882156 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 591.645i | − | 0.338851i | ||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1419.88 | + | 1077.25i | 0.796662 | + | 0.604425i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1116.26 | − | 644.476i | −0.613745 | − | 0.354346i | 0.160685 | − | 0.987006i | \(-0.448630\pi\) |
−0.774430 | + | 0.632660i | \(0.781963\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −98.0311 | − | 169.795i | −0.0528322 | − | 0.0915080i | 0.838400 | − | 0.545056i | \(-0.183492\pi\) |
−0.891232 | + | 0.453548i | \(0.850158\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2917.48 | + | 1239.16i | 1.54160 | + | 0.654770i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4575.00 | − | 2641.38i | 2.37079 | − | 1.36878i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2865.72 | − | 1654.52i | −1.45675 | − | 0.841053i | −0.457897 | − | 0.889005i | \(-0.651397\pi\) |
−0.998850 | + | 0.0479519i | \(0.984731\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 120.571 | − | 592.292i | 0.0601378 | − | 0.295420i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 254.304 | − | 274.234i | 0.124484 | − | 0.134240i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1864.65 | −0.896018 | −0.448009 | − | 0.894029i | \(-0.647867\pi\) | ||||
−0.448009 | + | 0.894029i | \(0.647867\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −543.912 | + | 2671.90i | −0.256627 | + | 1.26065i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1863.24 | + | 3227.22i | −0.863363 | + | 1.49539i | 0.00530083 | + | 0.999986i | \(0.498313\pi\) |
−0.868664 | + | 0.495402i | \(0.835021\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 743.558 | + | 1287.88i | 0.338443 | + | 0.586200i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1107.73 | + | 2608.04i | −0.495381 | + | 1.16633i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1798.60 | − | 3115.26i | −0.790432 | − | 1.36907i | −0.925700 | − | 0.378259i | \(-0.876523\pi\) |
0.135268 | − | 0.990809i | \(-0.456810\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5676.94 | − | 1752.90i | 2.45221 | − | 0.757183i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 264.405 | − | 298.790i | 0.112282 | − | 0.126884i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | − | 598.233i | − | 0.249799i | −0.992169 | − | 0.124899i | \(-0.960139\pi\) | ||
0.992169 | − | 0.124899i | \(-0.0398608\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 1669.69i | − | 0.685673i | −0.939395 | − | 0.342837i | \(-0.888612\pi\) | ||
0.939395 | − | 0.342837i | \(-0.111388\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2809.30 | + | 939.634i | −1.13481 | + | 0.379561i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −192.433 | + | 333.304i | −0.0764754 | + | 0.132459i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2526.81 | + | 1458.85i | −0.988120 | + | 0.570491i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1911.37 | − | 1760.09i | 0.735619 | − | 0.677396i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2927.86 | − | 1690.40i | 1.10918 | − | 0.640383i | 0.170560 | − | 0.985347i | \(-0.445442\pi\) |
0.938616 | + | 0.344964i | \(0.112109\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 476.298 | − | 824.972i | 0.177641 | − | 0.307683i | −0.763431 | − | 0.645889i | \(-0.776487\pi\) |
0.941072 | + | 0.338206i | \(0.109820\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −6315.30 | + | 2112.30i | −2.31922 | + | 0.775716i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2192.96i | 0.793106i | 0.918012 | + | 0.396553i | \(0.129794\pi\) | ||||
−0.918012 | + | 0.396553i | \(0.870206\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 1581.79i | − | 0.563469i | −0.959492 | − | 0.281735i | \(-0.909090\pi\) | ||
0.959492 | − | 0.281735i | \(-0.0909098\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 233.077 | − | 263.387i | 0.0817911 | − | 0.0924275i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −153.110 | − | 495.861i | −0.0529370 | − | 0.171442i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3231.69 | + | 5597.45i | 1.10103 | + | 1.90704i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −328.037 | − | 435.519i | −0.110145 | − | 0.146235i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1304.12 | − | 2258.81i | −0.431618 | − | 0.747584i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1547.26 | + | 2679.93i | −0.504823 | + | 0.874379i | 0.495161 | + | 0.868801i | \(0.335109\pi\) |
−0.999984 | + | 0.00557832i | \(0.998224\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −826.062 | + | 4057.93i | −0.265732 | + | 1.30538i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3147.70 | −0.998472 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3150.78 | − | 3397.70i | 0.985663 | − | 1.06291i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 736.419 | − | 3617.57i | 0.227226 | − | 1.11622i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6171.00 | − | 3562.83i | −1.87831 | − | 1.08444i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1320.52 | + | 762.403i | −0.396541 | + | 0.228943i | −0.684990 | − | 0.728552i | \(-0.740194\pi\) |
0.288450 | + | 0.957495i | \(0.406860\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1053.71 | − | 8597.43i | −0.312209 | − | 2.54739i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −836.909 | − | 1449.57i | −0.244703 | − | 0.423838i | 0.717345 | − | 0.696718i | \(-0.245357\pi\) |
−0.962048 | + | 0.272880i | \(0.912024\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2751.35 | + | 1588.49i | 0.793949 | + | 0.458387i | 0.841351 | − | 0.540489i | \(-0.181761\pi\) |
−0.0474019 | + | 0.998876i | \(0.515094\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 235.598 | + | 2380.10i | 0.0671049 | + | 0.677917i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | − | 3225.60i | − | 0.906936i | −0.891272 | − | 0.453468i | \(-0.850187\pi\) | ||
0.891272 | − | 0.453468i | \(-0.149813\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4589.21 | −1.27390 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 132.068 | + | 394.856i | 0.0361973 | + | 0.108222i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1535.18 | − | 886.337i | −0.415492 | − | 0.239884i | 0.277655 | − | 0.960681i | \(-0.410443\pi\) |
−0.693147 | + | 0.720797i | \(0.743776\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3202.47 | − | 1848.95i | 0.855972 | − | 0.494196i | −0.00668945 | − | 0.999978i | \(-0.502129\pi\) |
0.862661 | + | 0.505782i | \(0.168796\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −2033.53 | − | 3195.89i | −0.536834 | − | 0.843688i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 5981.38 | − | 4083.11i | 1.55974 | − | 1.06473i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3184.95 | − | 5516.49i | 0.820460 | − | 1.42108i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 189.942 | + | 567.885i | 0.0483417 | + | 0.144531i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2501.61 | −0.629084 | −0.314542 | − | 0.949244i | \(-0.601851\pi\) | ||||
−0.314542 | + | 0.949244i | \(0.601851\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 501.887 | 0.124717 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 8535.56 | − | 9645.55i | 2.09615 | − | 2.36874i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 472.215 | − | 817.900i | 0.114615 | − | 0.198518i | −0.803011 | − | 0.595964i | \(-0.796770\pi\) |
0.917626 | + | 0.397446i | \(0.130103\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −75.0246 | + | 329.143i | −0.0179992 | + | 0.0789651i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −750.956 | + | 92.0376i | −0.178096 | + | 0.0218275i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −4896.74 | + | 2827.13i | −1.14808 | + | 0.662846i | −0.948420 | − | 0.317018i | \(-0.897318\pi\) |
−0.199664 | + | 0.979864i | \(0.563985\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2127.03 | − | 1228.04i | −0.493067 | − | 0.284672i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5373.07 | − | 1093.78i | −1.23156 | − | 0.250705i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −4010.37 | −0.908983 | −0.454491 | − | 0.890751i | \(-0.650179\pi\) | ||||
−0.454491 | + | 0.890751i | \(0.650179\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3596.81i | 0.806239i | 0.915147 | + | 0.403120i | \(0.132074\pi\) | ||||
−0.915147 | + | 0.403120i | \(0.867926\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −4746.26 | + | 3404.65i | −1.05222 | + | 0.754794i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 6904.88 | + | 3986.53i | 1.51411 | + | 0.874171i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3175.77 | − | 5500.59i | −0.688856 | − | 1.19313i | −0.972208 | − | 0.234118i | \(-0.924780\pi\) |
0.283352 | − | 0.959016i | \(-0.408554\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −4064.31 | − | 5396.00i | −0.872128 | − | 1.15788i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1591.00 | + | 918.563i | −0.337761 | + | 0.195007i | −0.659282 | − | 0.751896i | \(-0.729140\pi\) |
0.321520 | + | 0.946903i | \(0.395806\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2653.87 | + | 1532.21i | 0.557442 | + | 0.321839i | 0.752118 | − | 0.659028i | \(-0.229032\pi\) |
−0.194676 | + | 0.980868i | \(0.562366\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 8622.53 | + | 7630.26i | 1.79212 | + | 1.58589i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4157.05 | + | 3854.94i | 0.854992 | + | 0.792856i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8869.15 | 1.80524 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2528.11 | + | 845.582i | −0.509279 | + | 0.170340i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3473.03 | + | 6015.47i | −0.692481 | + | 1.19941i | 0.278542 | + | 0.960424i | \(0.410149\pi\) |
−0.971023 | + | 0.238988i | \(0.923184\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −810.611 | − | 1404.02i | −0.159985 | − | 0.277102i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3475.97 | + | 274.723i | 0.679112 | + | 0.0536735i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 612.857 | + | 1061.50i | 0.118537 | + | 0.205311i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2638.11 | + | 814.585i | −0.505176 | + | 0.155986i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 274.772 | + | 821.508i | 0.0520965 | + | 0.155757i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 12036.9i | 2.25978i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2168.45i | 0.403128i | 0.979475 | + | 0.201564i | \(0.0646023\pi\) | ||||
−0.979475 | + | 0.201564i | \(0.935398\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5859.96 | + | 5185.61i | 1.07884 | + | 0.954689i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 142.507 | − | 246.830i | 0.0259834 | − | 0.0450046i | −0.852741 | − | 0.522333i | \(-0.825062\pi\) |
0.878725 | + | 0.477329i | \(0.158395\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9429.66 | + | 5444.22i | −1.70286 | + | 0.983148i | −0.760025 | + | 0.649894i | \(0.774813\pi\) |
−0.942837 | + | 0.333253i | \(0.891854\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −4319.04 | − | 9634.23i | −0.772541 | − | 1.72326i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 598.240 | − | 345.394i | 0.105995 | − | 0.0611964i | −0.446065 | − | 0.895000i | \(-0.647175\pi\) |
0.552060 | + | 0.833804i | \(0.313842\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 348.210 | − | 603.117i | 0.0611160 | − | 0.105856i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 805.332 | − | 3956.10i | 0.140029 | − | 0.687875i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 12320.4i | 2.12237i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 19471.9i | 3.32341i | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 2863.50 | + | 582.915i | 0.484257 | + | 0.0985788i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −3846.24 | + | 1187.63i | −0.644529 | + | 0.199015i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4246.17 | − | 7354.58i | −0.705108 | − | 1.22128i | −0.966653 | − | 0.256091i | \(-0.917565\pi\) |
0.261545 | − | 0.965191i | \(-0.415768\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 452.987 | + | 192.399i | 0.0745451 | + | 0.0316619i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −714.566 | − | 1237.66i | −0.116540 | − | 0.201853i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1799.53 | − | 3116.88i | 0.290881 | − | 0.503820i | −0.683138 | − | 0.730290i | \(-0.739385\pi\) |
0.974018 | + | 0.226470i | \(0.0727184\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −7408.95 | − | 6556.35i | −1.18702 | − | 1.05042i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6218.28 | 0.987503 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3956.38 | − | 4969.98i | 0.622811 | − | 0.782372i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −2101.12 | + | 702.766i | −0.327885 | + | 0.109669i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 5923.82 | + | 3420.12i | 0.916448 | + | 0.529112i | 0.882500 | − | 0.470312i | \(-0.155859\pi\) |
0.0339480 | + | 0.999424i | \(0.489192\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5589.41 | − | 3227.04i | 0.857289 | − | 0.494956i | −0.00581419 | − | 0.999983i | \(-0.501851\pi\) |
0.863104 | + | 0.505027i | \(0.168517\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3663.49 | + | 7687.22i | 0.557102 | + | 1.16898i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 294.916 | + | 510.809i | 0.0444668 | + | 0.0770188i | 0.887402 | − | 0.460996i | \(-0.152508\pi\) |
−0.842935 | + | 0.538015i | \(0.819174\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 14572.8 | + | 8413.62i | 2.17872 | + | 1.25788i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 4657.56 | − | 10292.9i | 0.690488 | − | 1.52593i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 8812.02i | 1.29549i | 0.761857 | + | 0.647745i | \(0.224288\pi\) | ||||
−0.761857 | + | 0.647745i | \(0.775712\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4154.66 | −0.605724 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2456.31 | − | 2775.73i | 0.355159 | − | 0.401345i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −12991.4 | − | 7500.59i | −1.86302 | − | 1.07561i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9716.89 | − | 5610.05i | 1.38206 | − | 0.797935i | 0.389661 | − | 0.920958i | \(-0.372592\pi\) |
0.992404 | + | 0.123023i | \(0.0392589\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 6601.93 | − | 4972.63i | 0.931390 | − | 0.701531i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2100.48 | − | 478.782i | −0.293940 | − | 0.0670003i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −403.305 | + | 698.546i | −0.0559849 | + | 0.0969687i | −0.892660 | − | 0.450731i | \(-0.851163\pi\) |
0.836675 | + | 0.547700i | \(0.184497\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −21050.6 | − | 4285.21i | −2.89879 | − | 0.590099i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1700.81 | 0.232350 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7667.10 | 1.03914 | 0.519568 | − | 0.854429i | \(-0.326093\pi\) | ||||
0.519568 | + | 0.854429i | \(0.326093\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 12578.9 | + | 2560.65i | 1.69143 | + | 0.344320i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −5599.27 | + | 9698.23i | −0.747022 | + | 1.29388i | 0.202222 | + | 0.979340i | \(0.435184\pi\) |
−0.949244 | + | 0.314541i | \(0.898149\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 9475.54 | + | 2159.85i | 1.25433 | + | 0.285912i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 489.663 | + | 3995.28i | 0.0643178 | + | 0.524784i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 1300.72 | − | 750.970i | 0.169535 | − | 0.0978810i | −0.412832 | − | 0.910807i | \(-0.635460\pi\) |
0.582366 | + | 0.812926i | \(0.302127\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2053.11 | − | 1185.36i | −0.265550 | − | 0.153315i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1377.25 | + | 1556.35i | −0.176777 | + | 0.199765i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1691.83 | 0.215507 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 1509.70i | − | 0.190856i | −0.995436 | − | 0.0954280i | \(-0.969578\pi\) | ||
0.995436 | − | 0.0954280i | \(-0.0304220\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 9201.21 | + | 4163.57i | 1.15448 | + | 0.522404i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −780.767 | − | 450.776i | −0.0972311 | − | 0.0561364i | 0.450596 | − | 0.892728i | \(-0.351212\pi\) |
−0.547827 | + | 0.836592i | \(0.684545\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7593.18 | + | 13151.8i | 0.938569 | + | 1.62565i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −14936.6 | + | 3717.12i | −1.83261 | + | 0.456062i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −392.329 | + | 226.511i | −0.0477813 | + | 0.0275866i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −13891.4 | − | 8020.20i | −1.67943 | − | 0.969617i | −0.962027 | − | 0.272955i | \(-0.911999\pi\) |
−0.717399 | − | 0.696662i | \(-0.754668\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 11751.0 | − | 3930.39i | 1.41030 | − | 0.471708i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1042.72 | − | 966.942i | −0.124235 | − | 0.115206i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2433.20 | 0.287810 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −2561.48 | − | 2266.71i | −0.300806 | − | 0.266190i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 424.053 | − | 734.482i | 0.0494424 | − | 0.0856367i | −0.840245 | − | 0.542207i | \(-0.817589\pi\) |
0.889687 | + | 0.456570i | \(0.150922\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3933.58 | − | 6813.16i | −0.455370 | − | 0.788725i | 0.543339 | − | 0.839513i | \(-0.317160\pi\) |
−0.998709 | + | 0.0507886i | \(0.983827\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 713.907 | + | 5824.93i | 0.0820599 | + | 0.669546i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −18830.9 | − | 32616.1i | −2.14925 | − | 3.72262i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3115.01 | + | 10088.2i | 0.353035 | + | 1.14334i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −7680.94 | − | 1563.59i | −0.864427 | − | 0.175969i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 9164.19i | − | 1.02418i | −0.858930 | − | 0.512092i | \(-0.828871\pi\) | ||
0.858930 | − | 0.512092i | \(-0.171129\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5634.15i | 0.625312i | 0.949866 | + | 0.312656i | \(0.101219\pi\) | ||||
−0.949866 | + | 0.312656i | \(0.898781\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −613.245 | + | 3012.49i | −0.0675927 | + | 0.332041i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1059.64 | − | 1835.35i | 0.115994 | − | 0.200908i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11030.6 | + | 6368.50i | −1.19923 | + | 0.692373i | −0.960383 | − | 0.278685i | \(-0.910101\pi\) |
−0.238843 | + | 0.971058i | \(0.576768\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6113.03 | − | 6956.79i | −0.660083 | − | 0.751192i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 1685.37 | − | 973.047i | 0.180754 | − | 0.104359i | −0.406893 | − | 0.913476i | \(-0.633388\pi\) |
0.587647 | + | 0.809117i | \(0.300054\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −11140.4 | + | 19295.7i | −1.18675 | + | 2.05552i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 5015.71 | + | 4438.51i | 0.530727 | + | 0.469652i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 7602.87i | − | 0.799113i | −0.916709 | − | 0.399556i | \(-0.869164\pi\) | ||
0.916709 | − | 0.399556i | \(-0.130836\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7607.98i | 0.794337i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 323.154 | + | 966.159i | 0.0335167 | + | 0.100208i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 7002.53 | + | 22678.4i | 0.721503 | + | 2.33666i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −102.789 | − | 178.036i | −0.0105214 | − | 0.0182236i | 0.860717 | − | 0.509084i | \(-0.170016\pi\) |
−0.871238 | + | 0.490861i | \(0.836682\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −13570.6 | − | 9333.43i | −1.38000 | − | 0.949122i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 9165.82 | + | 15875.7i | 0.926019 | + | 1.60391i | 0.789914 | + | 0.613218i | \(0.210125\pi\) |
0.136105 | + | 0.990694i | \(0.456542\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6817.76 | − | 11808.7i | 0.684338 | − | 1.18531i | −0.289307 | − | 0.957236i | \(-0.593425\pi\) |
0.973644 | − | 0.228071i | \(-0.0732419\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −26032.4 | + | 8707.13i | −2.59618 | + | 0.868352i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −15609.8 | −1.54676 | −0.773378 | − | 0.633946i | \(-0.781434\pi\) | ||||
−0.773378 | + | 0.633946i | \(0.781434\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −919.174 | − | 852.374i | −0.0904979 | − | 0.0839211i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 12876.5 | + | 11394.7i | 1.25970 | + | 1.11474i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3208.74 | − | 1852.57i | −0.311920 | − | 0.180087i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 29156.7 | − | 16833.7i | 2.81643 | − | 1.62607i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1227.83 | + | 2890.81i | −0.117858 | + | 0.277487i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −7412.67 | − | 12839.1i | −0.707084 | − | 1.22471i | −0.965934 | − | 0.258788i | \(-0.916677\pi\) |
0.258850 | − | 0.965918i | \(-0.416657\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −958.150 | − | 553.188i | −0.0908272 | − | 0.0524391i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1579.09 | + | 1132.73i | −0.148760 | + | 0.106711i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 10832.1i | 1.01415i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12830.1 | 1.19381 | 0.596906 | − | 0.802311i | \(-0.296396\pi\) | ||||
0.596906 | + | 0.802311i | \(0.296396\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 9494.30 | + | 1932.73i | 0.878010 | + | 0.178734i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −7054.53 | − | 4072.93i | −0.648404 | − | 0.374356i | 0.139441 | − | 0.990230i | \(-0.455470\pi\) |
−0.787844 | + | 0.615874i | \(0.788803\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2848.90 | + | 1644.81i | −0.260260 | + | 0.150261i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 5538.90 | − | 13040.8i | 0.502939 | − | 1.18412i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 14390.9 | + | 3280.25i | 1.29883 | + | 0.296055i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8727.94 | − | 15117.2i | 0.782999 | − | 1.35619i | −0.147189 | − | 0.989108i | \(-0.547022\pi\) |
0.930187 | − | 0.367085i | \(-0.119644\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12832.1 | − | 14500.9i | 1.14431 | − | 1.29311i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 13372.9 | 1.18543 | 0.592714 | − | 0.805413i | \(-0.298057\pi\) | ||||
0.592714 | + | 0.805413i | \(0.298057\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3519.90 | 0.310165 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −2451.10 | − | 7328.24i | −0.214708 | − | 0.641930i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 2910.35 | − | 5040.87i | 0.253436 | − | 0.438964i | −0.711033 | − | 0.703158i | \(-0.751773\pi\) |
0.964470 | + | 0.264194i | \(0.0851059\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −12829.2 | − | 2924.28i | −1.11063 | − | 0.253156i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 8343.51 | − | 12131.3i | 0.718080 | − | 1.04407i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 27536.1 | − | 15898.0i | 2.35609 | − | 1.36029i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4678.19 | − | 2700.96i | −0.397963 | − | 0.229764i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5928.96 | + | 17726.3i | 0.501450 | + | 1.49923i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6546.17 | 0.550466 | 0.275233 | − | 0.961378i | \(-0.411245\pi\) | ||||
0.275233 | + | 0.961378i | \(0.411245\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 7475.29i | − | 0.624994i | −0.949919 | − | 0.312497i | \(-0.898835\pi\) | ||
0.949919 | − | 0.312497i | \(-0.101165\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −30722.3 | + | 3041.11i | −2.55397 | + | 0.252809i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −25437.6 | − | 14686.4i | −2.10262 | − | 1.21395i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5879.60 | − | 10183.8i | −0.483242 | − | 0.836999i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1655.98 | + | 1247.30i | −0.135336 | + | 0.101936i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −16091.0 | + | 9290.16i | −1.30765 | + | 0.754975i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −14207.1 | − | 8202.48i | −1.14809 | − | 0.662849i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −620.073 | + | 3046.03i | −0.0498289 | + | 0.244779i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 8500.45 | − | 641.967i | 0.679296 | − | 0.0513014i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6578.64 | −0.522806 | −0.261403 | − | 0.965230i | \(-0.584185\pi\) | ||||
−0.261403 | + | 0.965230i | \(0.584185\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −1730.64 | + | 8501.59i | −0.136775 | + | 0.671893i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 5937.11 | − | 10283.4i | 0.466639 | − | 0.808242i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2357.36 | − | 4083.06i | −0.184266 | − | 0.319158i | 0.759063 | − | 0.651017i | \(-0.225657\pi\) |
−0.943329 | + | 0.331859i | \(0.892324\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 15278.1 | − | 1872.49i | 1.18771 | − | 0.145567i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1470.36 | − | 2546.74i | −0.113683 | − | 0.196905i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1417.93 | − | 437.824i | 0.109036 | − | 0.0336676i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1325.29 | − | 1497.63i | 0.101361 | − | 0.114542i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 5985.03i | 0.455286i | 0.973745 | + | 0.227643i | \(0.0731018\pi\) | ||||
−0.973745 | + | 0.227643i | \(0.926898\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 9048.73i | − | 0.684652i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 14377.9 | − | 4809.02i | 1.08206 | − | 0.361920i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −10574.8 | + | 18316.0i | −0.791605 | + | 1.37110i | 0.133368 | + | 0.991067i | \(0.457421\pi\) |
−0.924973 | + | 0.380033i | \(0.875913\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −34814.9 | + | 20100.4i | −2.59234 | + | 1.49669i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −11556.5 | + | 6980.74i | −0.855959 | + | 0.517044i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 9600.92 | − | 5543.09i | 0.707366 | − | 0.408398i | −0.102719 | − | 0.994710i | \(-0.532754\pi\) |
0.810085 | + | 0.586312i | \(0.199421\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −889.103 | + | 1539.97i | −0.0651626 | + | 0.112865i | −0.896766 | − | 0.442505i | \(-0.854090\pi\) |
0.831604 | + | 0.555370i | \(0.187423\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −16660.0 | + | 5572.31i | −1.21463 | + | 0.406259i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6478.36i | 0.469854i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9282.23i | 0.669713i | 0.942269 | + | 0.334856i | \(0.108688\pi\) | ||||
−0.942269 | + | 0.334856i | \(0.891312\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −3280.27 | + | 3706.84i | −0.235446 | + | 0.266064i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 2039.28 | − | 629.682i | 0.145617 | − | 0.0449632i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1445.52 | − | 2503.71i | −0.102688 | − | 0.177861i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 34345.2 | − | 4209.37i | 2.42735 | − | 0.297497i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 12177.5 | + | 21092.1i | 0.856253 | + | 1.48307i | 0.875477 | + | 0.483259i | \(0.160547\pi\) |
−0.0192240 | + | 0.999815i | \(0.506120\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 13128.7 | − | 22739.6i | 0.918439 | − | 1.59078i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 2273.02 | − | 11165.9i | 0.158206 | − | 0.777167i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 3634.37 | 0.251679 | 0.125840 | − | 0.992051i | \(-0.459838\pi\) | ||||
0.125840 | + | 0.992051i | \(0.459838\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −33661.2 | − | 31214.9i | −2.31929 | − | 2.15073i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −1639.54 | + | 8054.06i | −0.112399 | + | 0.552145i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 16689.7 | + | 9635.82i | 1.13844 | + | 0.657277i | 0.946043 | − | 0.324041i | \(-0.105041\pi\) |
0.192394 | + | 0.981318i | \(0.438375\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −9993.33 | + | 5769.65i | −0.678264 | + | 0.391596i | −0.799201 | − | 0.601064i | \(-0.794744\pi\) |
0.120937 | + | 0.992660i | \(0.461410\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1459.77 | + | 1099.51i | −0.0985844 | + | 0.0742545i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −7530.53 | − | 13043.3i | −0.506049 | − | 0.876502i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3327.05 | − | 1920.88i | −0.222473 | − | 0.128445i | 0.384622 | − | 0.923074i | \(-0.374332\pi\) |
−0.607095 | + | 0.794629i | \(0.707665\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 265.630 | + | 2683.49i | 0.0176747 | + | 0.178556i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 13192.6i | − | 0.873513i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −26792.1 | −1.76529 | −0.882644 | − | 0.470043i | \(-0.844238\pi\) | ||||
−0.882644 | + | 0.470043i | \(0.844238\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −10653.1 | − | 31850.3i | −0.698493 | − | 2.08834i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2434.46 | − | 1405.54i | −0.158846 | − | 0.0917095i | 0.418470 | − | 0.908231i | \(-0.362566\pi\) |
−0.577316 | + | 0.816521i | \(0.695900\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2964.61 | + | 1711.62i | −0.192500 | + | 0.111140i | −0.593152 | − | 0.805090i | \(-0.702117\pi\) |
0.400652 | + | 0.916230i | \(0.368784\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1218.85 | + | 2557.56i | 0.0787614 | + | 0.165268i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −4343.35 | + | 19054.9i | −0.279314 | + | 1.22539i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23595.4 | + | 40868.4i | −1.51010 | + | 2.61558i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 4298.97 | + | 12853.0i | 0.273818 | + | 0.818657i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 2139.91 | 0.135650 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4476.28 | −0.282406 | −0.141203 | − | 0.989981i | \(-0.545097\pi\) | ||||
−0.141203 | + | 0.989981i | \(0.545097\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 10656.0 | − | 12041.7i | 0.669095 | − | 0.756107i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 26080.8 | − | 45173.2i | 1.62990 | − | 2.82306i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 11737.7 | + | 17194.7i | 0.730088 | + | 1.06951i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 8412.16 | − | 19805.7i | 0.520782 | − | 1.22613i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −15150.6 | + | 8747.20i | −0.933561 | + | 0.538992i | −0.887936 | − | 0.459967i | \(-0.847861\pi\) |
−0.0456248 | + | 0.998959i | \(0.514528\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4602.79 | + | 2657.42i | 0.282296 | + | 0.162984i | 0.634462 | − | 0.772954i | \(-0.281222\pi\) |
−0.352166 | + | 0.935937i | \(0.614555\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 16027.2 | + | 3262.62i | 0.978406 | + | 0.199171i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −4660.14 | −0.283167 | −0.141584 | − | 0.989926i | \(-0.545219\pi\) | ||||
−0.141584 | + | 0.989926i | \(0.545219\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 1908.33i | − | 0.115421i | ||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −19564.6 | + | 14034.4i | −1.17788 | + | 0.844931i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −16836.5 | − | 9720.58i | −1.00898 | − | 0.582536i | −0.0980880 | − | 0.995178i | \(-0.531273\pi\) |
−0.910893 | + | 0.412642i | \(0.864606\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4222.36 | + | 7313.35i | 0.251880 | + | 0.436269i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −7499.29 | + | 17656.4i | −0.445320 | + | 1.04846i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 4244.21 | − | 2450.39i | 0.250881 | − | 0.144846i | −0.369286 | − | 0.929316i | \(-0.620398\pi\) |
0.620168 | + | 0.784469i | \(0.287065\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6520.45 | + | 3764.58i | 0.383685 | + | 0.221521i | 0.679420 | − | 0.733749i | \(-0.262231\pi\) |
−0.295735 | + | 0.955270i | \(0.595565\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 27728.1 | + | 24537.2i | 1.62424 | + | 1.43733i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 27904.2 | − | 30091.0i | 1.62719 | − | 1.75471i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 565.862 | 0.0328490 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 7513.96 | − | 2513.21i | 0.434240 | − | 0.145241i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −7084.29 | + | 12270.4i | −0.407580 | + | 0.705949i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5380.01 | + | 9318.45i | 0.308149 | + | 0.533729i | 0.977957 | − | 0.208804i | \(-0.0669572\pi\) |
−0.669809 | + | 0.742534i | \(0.733624\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −3546.13 | + | 44867.9i | −0.202208 | + | 2.55847i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 7477.31 | + | 12951.1i | 0.424485 | + | 0.735230i | 0.996372 | − | 0.0851025i | \(-0.0271218\pi\) |
−0.571887 | + | 0.820332i | \(0.693788\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2803.21 | + | 9078.47i | 0.158435 | + | 0.513107i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2758.82 | + | 8248.27i | 0.155240 | + | 0.464133i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 28835.1i | − | 1.61544i | −0.589566 | − | 0.807720i | \(-0.700701\pi\) | ||
0.589566 | − | 0.807720i | \(-0.299299\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 50349.3i | − | 2.80839i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −12362.6 | − | 10940.0i | −0.686556 | − | 0.607548i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3530.27 | − | 6114.60i | 0.195199 | − | 0.338095i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −845.405 | + | 488.095i | −0.0465423 | + | 0.0268712i | −0.523091 | − | 0.852277i | \(-0.675221\pi\) |
0.476548 | + | 0.879148i | \(0.341888\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1267.39 | − | 12363.0i | 0.0694720 | − | 0.677679i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −12036.4 | + | 6949.24i | −0.656933 | + | 0.379280i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 17968.6 | − | 31122.6i | 0.976486 | − | 1.69132i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −3343.36 | + | 16423.9i | −0.180912 | + | 0.888709i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 6963.25i | − | 0.375176i | −0.982248 | − | 0.187588i | \(-0.939933\pi\) | ||
0.982248 | − | 0.187588i | \(-0.0600669\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1912.94i | 0.102629i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 23367.0 | + | 4756.75i | 1.24830 | + | 0.254113i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 2950.05 | − | 910.905i | 0.156928 | − | 0.0484556i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14914.8 | + | 25833.2i | 0.790039 | + | 1.36839i | 0.925942 | + | 0.377665i | \(0.123273\pi\) |
−0.135903 | + | 0.990722i | \(0.543394\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −263.185 | − | 2147.39i | −0.0138821 | − | 0.113268i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 2526.27 | + | 4375.63i | 0.132692 | + | 0.229830i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −15925.5 | + | 27583.7i | −0.832978 | + | 1.44276i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 6898.02 | + | 6104.21i | 0.359290 | + | 0.317944i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −14089.4 | −0.730803 | −0.365402 | − | 0.930850i | \(-0.619068\pi\) | ||||
−0.365402 | + | 0.930850i | \(0.619068\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 18964.0 | − | 20450.2i | 0.979551 | − | 1.05632i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −18222.5 | + | 6094.94i | −0.937349 | + | 0.313518i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 7785.05 | + | 4494.70i | 0.398799 | + | 0.230247i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16592.3 | − | 9579.56i | 0.846457 | − | 0.488702i | −0.0129971 | − | 0.999916i | \(-0.504137\pi\) |
0.859454 | + | 0.511214i | \(0.170804\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 7041.59 | + | 18380.3i | 0.357750 | + | 0.933817i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8750.83 | + | 15156.9i | 0.442765 | + | 0.766891i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 31099.2 | + | 17955.1i | 1.56709 | + | 0.904757i | 0.996507 | + | 0.0835145i | \(0.0266145\pi\) |
0.570579 | + | 0.821243i | \(0.306719\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −34687.7 | + | 14590.3i | −1.74078 | + | 0.732206i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − | 1682.22i | − | 0.0840778i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 15603.3 | 0.776694 | 0.388347 | − | 0.921513i | \(-0.373046\pi\) | ||||
0.388347 | + | 0.921513i | \(0.373046\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −21934.8 | + | 24787.2i | −1.08744 | + | 1.22886i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 9187.85 | + | 5304.61i | 0.453660 | + | 0.261921i | 0.709375 | − | 0.704831i | \(-0.248977\pi\) |
−0.255715 | + | 0.966752i | \(0.582311\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 23569.0 | − | 13607.5i | 1.15906 | − | 0.669183i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −378.514 | − | 3088.39i | −0.0185397 | − | 0.151269i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −14029.8 | − | 3197.93i | −0.684428 | − | 0.156008i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3593.39 | + | 6223.93i | −0.174600 | + | 0.302416i | −0.940023 | − | 0.341112i | \(-0.889197\pi\) |
0.765423 | + | 0.643528i | \(0.222530\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 12737.5 | + | 2592.94i | 0.616441 | + | 0.125487i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 4139.68 | 0.199548 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −30230.3 | −1.45144 | −0.725720 | − | 0.687990i | \(-0.758493\pi\) | ||||
−0.725720 | + | 0.687990i | \(0.758493\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −2555.47 | − | 520.209i | −0.122210 | − | 0.0248780i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −4067.61 | + | 7045.32i | −0.193759 | + | 0.335601i | −0.946493 | − | 0.322724i | \(-0.895401\pi\) |
0.752734 | + | 0.658325i | \(0.228735\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2314.73 | − | 10155.0i | 0.109828 | − | 0.481830i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −53458.4 | + | 40265.3i | −2.52653 | + | 1.90300i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 4036.15 | − | 2330.27i | 0.190009 | − | 0.109702i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −19458.9 | − | 11234.6i | −0.912490 | − | 0.526826i | −0.0312583 | − | 0.999511i | \(-0.509951\pi\) |
−0.881231 | + | 0.472685i | \(0.843285\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3252.15 | + | 3675.07i | −0.151911 | + | 0.171666i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 18079.1 | 0.841217 | 0.420609 | − | 0.907242i | \(-0.361817\pi\) | ||||
0.420609 | + | 0.907242i | \(0.361817\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 80265.6i | 3.72029i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 723.164 | − | 1598.14i | 0.0333891 | − | 0.0737877i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 27821.7 | + | 16062.8i | 1.27961 | + | 0.738782i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9903.60 | + | 17153.5i | 0.453750 | + | 0.785918i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3919.06 | + | 309.742i | 0.178871 | + | 0.0141370i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 60507.1 | − | 34933.8i | 2.75107 | − | 1.58833i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −24672.8 | − | 14244.8i | −1.11752 | − | 0.645202i | −0.176755 | − | 0.984255i | \(-0.556560\pi\) |
−0.940767 | + | 0.339053i | \(0.889893\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 27863.2 | − | 9319.48i | 1.25723 | − | 0.420510i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −23976.8 | + | 25855.9i | −1.07777 | + | 1.16224i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −34602.7 | −1.54953 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 9557.39 | + | 8457.54i | 0.426372 | + | 0.377306i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1556.36 | − | 2695.69i | 0.0691708 | − | 0.119807i | −0.829366 | − | 0.558706i | \(-0.811298\pi\) |
0.898537 | + | 0.438899i | \(0.144631\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 12758.3 | + | 22098.0i | 0.564902 | + | 0.978438i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 26224.5 | + | 11138.5i | 1.15680 | + | 0.491333i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −8828.88 | − | 15292.1i | −0.388000 | − | 0.672036i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2329.76 | + | 7545.15i | 0.102004 | + | 0.330350i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 20419.7 | + | 4156.78i | 0.890715 | + | 0.181320i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 8901.87i | 0.386864i | 0.981114 | + | 0.193432i | \(0.0619619\pi\) | ||||
−0.981114 | + | 0.193432i | \(0.938038\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 6818.31i | − | 0.295220i | −0.989046 | − | 0.147610i | \(-0.952842\pi\) | ||
0.989046 | − | 0.147610i | \(-0.0471580\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3728.13 | − | 18314.0i | 0.160825 | − | 0.790036i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 19685.3 | − | 34095.9i | 0.846067 | − | 1.46543i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −13549.3 | + | 7822.70i | −0.580209 | + | 0.334984i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 27695.6 | − | 12416.0i | 1.18164 | − | 0.529731i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −14035.7 | + | 8103.52i | −0.596650 | + | 0.344476i | −0.767722 | − | 0.640783i | \(-0.778610\pi\) |
0.171073 | + | 0.985258i | \(0.445277\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3635.33 | + | 6296.57i | −0.153973 | + | 0.266689i | −0.932684 | − | 0.360693i | \(-0.882540\pi\) |
0.778712 | + | 0.627382i | \(0.215873\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −31025.7 | − | 27455.3i | −1.30930 | − | 1.15863i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 7040.86i | − | 0.296052i | −0.988983 | − | 0.148026i | \(-0.952708\pi\) | ||
0.988983 | − | 0.148026i | \(-0.0472919\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 17047.4i | − | 0.714212i | −0.934064 | − | 0.357106i | \(-0.883764\pi\) | ||
0.934064 | − | 0.357106i | \(-0.116236\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 10468.7 | + | 31299.2i | 0.437011 | + | 1.30657i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −36289.7 | − | 17450.3i | −1.50944 | − | 0.725832i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −39340.6 | − | 68139.9i | −1.63046 | − | 2.82405i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 15101.3 | + | 31687.6i | 0.623631 | + | 1.30858i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 6588.67 | + | 11411.9i | 0.271116 | + | 0.469587i | 0.969148 | − | 0.246480i | \(-0.0792740\pi\) |
−0.698032 | + | 0.716067i | \(0.745941\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11801.9 | + | 20441.5i | −0.483903 | + | 0.838144i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 9053.02 | − | 3027.99i | 0.369872 | − | 0.123712i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −31399.2 | −1.27830 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −9686.81 | − | 8982.83i | −0.392967 | − | 0.364408i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −11924.6 | − | 10552.4i | −0.482040 | − | 0.426568i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −318.779 | − | 184.047i | −0.0128409 | − | 0.00741369i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −11459.1 | + | 6615.91i | −0.459967 | + | 0.265562i | −0.712030 | − | 0.702149i | \(-0.752224\pi\) |
0.252063 | + | 0.967711i | \(0.418891\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −35994.7 | − | 47788.5i | −1.43976 | − | 1.91150i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 4162.07 | + | 7208.91i | 0.165897 | + | 0.287342i | 0.936973 | − | 0.349401i | \(-0.113615\pi\) |
−0.771077 | + | 0.636742i | \(0.780282\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −36607.1 | − | 21135.1i | −1.45404 | − | 0.839488i | −0.455329 | − | 0.890323i | \(-0.650478\pi\) |
−0.998707 | + | 0.0508353i | \(0.983812\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −17170.9 | − | 23937.1i | −0.679653 | − | 0.947473i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − | 4503.10i | − | 0.177621i | −0.996049 | − | 0.0888107i | \(-0.971693\pi\) | ||
0.996049 | − | 0.0888107i | \(-0.0283066\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 75951.5 | 2.98547 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −45159.2 | − | 9192.94i | −1.76896 | − | 0.360102i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1724.64 | + | 995.719i | 0.0673237 | + | 0.0388693i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3557.93 | − | 2054.17i | 0.138411 | − | 0.0799114i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 13748.9 | − | 1685.07i | 0.533023 | − | 0.0653276i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −17016.3 | + | 74653.0i | −0.657437 | + | 2.88426i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 12266.9 | − | 21246.9i | 0.472320 | − | 0.818082i | −0.527178 | − | 0.849755i | \(-0.676750\pi\) |
0.999498 | + | 0.0316724i | \(0.0100833\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 23918.8 | − | 27029.3i | 0.917818 | − | 1.03717i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 6446.14 | 0.246511 | 0.123255 | − | 0.992375i | \(-0.460667\pi\) | ||||
0.123255 | + | 0.992375i | \(0.460667\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 13490.2 | 0.514136 | 0.257068 | − | 0.966393i | \(-0.417244\pi\) | ||||
0.257068 | + | 0.966393i | \(0.417244\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 2672.13 | + | 7989.09i | 0.101495 | + | 0.303447i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 10349.3 | − | 17925.5i | 0.391765 | − | 0.678556i | −0.600918 | − | 0.799311i | \(-0.705198\pi\) |
0.992682 | + | 0.120755i | \(0.0385314\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 10168.2 | − | 44609.3i | 0.383612 | − | 1.68296i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −17413.9 | − | 5001.69i | −0.654758 | − | 0.188062i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −19754.3 | + | 11405.1i | −0.740259 | + | 0.427389i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 10938.9 | + | 6315.58i | 0.408544 | + | 0.235873i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2020.25 | − | 6040.10i | −0.0751996 | − | 0.224830i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 7010.92 | 0.260097 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 13656.2i | 0.504943i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 14276.8 | − | 1413.22i | 0.526139 | − | 0.0520808i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 30530.8 | + | 17627.0i | 1.12141 | + | 0.647449i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14361.2 | − | 24874.3i | −0.525750 | − | 0.910626i | −0.999550 | − | 0.0299935i | \(-0.990451\pi\) |
0.473800 | − | 0.880633i | \(-0.342882\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −547.563 | − | 4467.70i | −0.0199797 | − | 0.163019i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −6255.03 | + | 3611.35i | −0.227485 | + | 0.131338i | −0.609411 | − | 0.792854i | \(-0.708594\pi\) |
0.381926 | + | 0.924193i | \(0.375261\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2480.38 | + | 1432.05i | 0.0899110 | + | 0.0519102i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 12476.4 | − | 61288.8i | 0.450773 | − | 2.21437i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 5431.39 | + | 5036.67i | 0.195595 | + | 0.181380i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9875.41 | −0.354472 | −0.177236 | − | 0.984168i | \(-0.556716\pi\) | ||||
−0.177236 | + | 0.984168i | \(0.556716\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 2247.62 | − | 11041.2i | 0.0804143 | − | 0.395026i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −24186.7 | + | 41892.6i | −0.862530 | + | 1.49395i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2923.81 | − | 5064.18i | −0.103929 | − | 0.180010i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −24462.4 | − | 32477.6i | −0.866721 | − | 1.15071i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −22240.7 | − | 38522.0i | −0.785461 | − | 1.36046i | −0.928723 | − | 0.370774i | \(-0.879092\pi\) |
0.143262 | − | 0.989685i | \(-0.454241\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 15599.5 | − | 32440.7i | 0.549145 | − | 1.14200i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −981.448 | + | 1109.08i | −0.0344386 | + | 0.0389171i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | − | 61604.8i | − | 2.15475i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 1613.46i | − | 0.0562532i | −0.999604 | − | 0.0281266i | \(-0.991046\pi\) | ||
0.999604 | − | 0.0281266i | \(-0.00895416\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 53656.2 | − | 17946.5i | 1.86475 | − | 0.623709i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −835.528 | + | 1447.18i | −0.0289452 | + | 0.0501345i | −0.880135 | − | 0.474723i | \(-0.842548\pi\) |
0.851190 | + | 0.524858i | \(0.175881\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −5353.53 | + | 3090.86i | −0.184872 | + | 0.106736i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 12005.4 | + | 53531.5i | 0.413266 | + | 1.84273i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −31755.5 | + | 18334.1i | −1.08967 | + | 0.629121i | −0.933488 | − | 0.358608i | \(-0.883252\pi\) |
−0.156181 | + | 0.987729i | \(0.549918\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 21562.0 | − | 37346.5i | 0.737547 | − | 1.27747i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −3404.08 | + | 1138.57i | −0.116072 | + | 0.0388230i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 38341.6i | 1.30326i | 0.758537 | + | 0.651629i | \(0.225914\pi\) | ||||
−0.758537 | + | 0.651629i | \(0.774086\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 71382.7i | 2.41873i | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −2398.12 | + | 2709.98i | −0.0810035 | + | 0.0915374i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −13029.8 | − | 42198.1i | −0.438741 | − | 1.42090i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 16404.5 | + | 28413.4i | 0.550653 | + | 0.953758i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −8201.05 | + | 19308.6i | −0.274429 | + | 0.646118i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 10056.6 | + | 17418.5i | 0.335475 | + | 0.581060i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −24342.3 | + | 42162.0i | −0.809508 | + | 1.40211i | 0.103697 | + | 0.994609i | \(0.466933\pi\) |
−0.913205 | + | 0.407501i | \(0.866400\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 12770.2 | − | 62732.0i | 0.423361 | − | 2.07971i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −41514.9 | −1.37207 | −0.686033 | − | 0.727570i | \(-0.740650\pi\) | ||||
−0.686033 | + | 0.727570i | \(0.740650\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −8289.44 | + | 8939.08i | −0.273122 | + | 0.294526i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 20182.8 | − | 99145.7i | 0.662941 | − | 3.25662i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 26952.7 | + | 15561.1i | 0.882592 | + | 0.509565i | 0.871512 | − | 0.490374i | \(-0.163140\pi\) |
0.0110801 | + | 0.999939i | \(0.496473\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −22712.8 | + | 13113.3i | −0.741476 | + | 0.428091i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −13976.0 | − | 5936.08i | −0.454860 | − | 0.193195i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −13264.6 | − | 22974.9i | −0.430391 | − | 0.745460i | 0.566516 | − | 0.824051i | \(-0.308291\pi\) |
−0.996907 | + | 0.0785914i | \(0.974958\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −40099.1 | − | 23151.2i | −1.29712 | − | 0.748892i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 20815.0 | − | 2060.41i | 0.671275 | − | 0.0664474i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 3010.53i | − | 0.0967941i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21125.0 | 0.677153 | 0.338577 | − | 0.940939i | \(-0.390055\pi\) | ||||
0.338577 | + | 0.940939i | \(0.390055\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 13997.2 | + | 41848.7i | 0.447320 | + | 1.33739i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 28923.7 | + | 16699.1i | 0.921550 | + | 0.532057i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −34141.1 | + | 19711.4i | −1.08451 | + | 0.626144i | −0.932110 | − | 0.362175i | \(-0.882034\pi\) |
−0.152403 | + | 0.988318i | \(0.548701\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −2107.06 | − | 1449.17i | −0.0667312 | − | 0.0458956i |
(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 | 252.4.x.a.41.2 | ✓ | 48 | |
3.2 | odd | 2 | 756.4.x.a.125.24 | 48 | |||
7.6 | odd | 2 | inner | 252.4.x.a.41.23 | yes | 48 | |
9.2 | odd | 6 | inner | 252.4.x.a.209.23 | yes | 48 | |
9.4 | even | 3 | 2268.4.f.a.1133.47 | 48 | |||
9.5 | odd | 6 | 2268.4.f.a.1133.2 | 48 | |||
9.7 | even | 3 | 756.4.x.a.629.1 | 48 | |||
21.20 | even | 2 | 756.4.x.a.125.1 | 48 | |||
63.13 | odd | 6 | 2268.4.f.a.1133.1 | 48 | |||
63.20 | even | 6 | inner | 252.4.x.a.209.2 | yes | 48 | |
63.34 | odd | 6 | 756.4.x.a.629.24 | 48 | |||
63.41 | even | 6 | 2268.4.f.a.1133.48 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.4.x.a.41.2 | ✓ | 48 | 1.1 | even | 1 | trivial | |
252.4.x.a.41.23 | yes | 48 | 7.6 | odd | 2 | inner | |
252.4.x.a.209.2 | yes | 48 | 63.20 | even | 6 | inner | |
252.4.x.a.209.23 | yes | 48 | 9.2 | odd | 6 | inner | |
756.4.x.a.125.1 | 48 | 21.20 | even | 2 | |||
756.4.x.a.125.24 | 48 | 3.2 | odd | 2 | |||
756.4.x.a.629.1 | 48 | 9.7 | even | 3 | |||
756.4.x.a.629.24 | 48 | 63.34 | odd | 6 | |||
2268.4.f.a.1133.1 | 48 | 63.13 | odd | 6 | |||
2268.4.f.a.1133.2 | 48 | 9.5 | odd | 6 | |||
2268.4.f.a.1133.47 | 48 | 9.4 | even | 3 | |||
2268.4.f.a.1133.48 | 48 | 63.41 | even | 6 |