Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(27,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.f (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: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 6 x^{14} - 9 x^{13} + 12 x^{12} - 9 x^{11} + 3 x^{10} + 6 x^{9} - 10 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 31.6 | ||
Root | \(-1.35532 + 0.403874i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 76.31 |
Dual form | 76.2.f.a.27.6 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.327894 | − | 1.37568i | 0.231856 | − | 0.972750i | ||||
\(3\) | 1.42689 | + | 2.47144i | 0.823814 | + | 1.42689i | 0.902823 | + | 0.430013i | \(0.141491\pi\) |
−0.0790092 | + | 0.996874i | \(0.525176\pi\) | |||||||
\(4\) | −1.78497 | − | 0.902152i | −0.892486 | − | 0.451076i | ||||
\(5\) | −0.139977 | − | 0.242447i | −0.0625997 | − | 0.108426i | 0.833027 | − | 0.553232i | \(-0.186606\pi\) |
−0.895627 | + | 0.444806i | \(0.853272\pi\) | |||||||
\(6\) | 3.86777 | − | 1.15256i | 1.57901 | − | 0.470532i | ||||
\(7\) | − | 1.55280i | − | 0.586902i | −0.955974 | − | 0.293451i | \(-0.905196\pi\) | ||
0.955974 | − | 0.293451i | \(-0.0948038\pi\) | |||||||
\(8\) | −1.82635 | + | 2.15973i | −0.645712 | + | 0.763581i | ||||
\(9\) | −2.57201 | + | 4.45486i | −0.857337 | + | 1.48495i | ||||
\(10\) | −0.379427 | + | 0.113066i | −0.119985 | + | 0.0357547i | ||||
\(11\) | − | 2.44102i | − | 0.735994i | −0.929827 | − | 0.367997i | \(-0.880044\pi\) | ||
0.929827 | − | 0.367997i | \(-0.119956\pi\) | |||||||
\(12\) | −0.317338 | − | 5.69872i | −0.0916075 | − | 1.64508i | ||||
\(13\) | −5.47527 | − | 3.16115i | −1.51857 | − | 0.876745i | −0.999761 | − | 0.0218524i | \(-0.993044\pi\) |
−0.518805 | − | 0.854892i | \(-0.673623\pi\) | |||||||
\(14\) | −2.13615 | − | 0.509153i | −0.570909 | − | 0.136077i | ||||
\(15\) | 0.399463 | − | 0.691890i | 0.103141 | − | 0.178645i | ||||
\(16\) | 2.37224 | + | 3.22063i | 0.593061 | + | 0.805157i | ||||
\(17\) | 2.18321 | + | 3.78143i | 0.529507 | + | 0.917132i | 0.999408 | + | 0.0344132i | \(0.0109562\pi\) |
−0.469901 | + | 0.882719i | \(0.655710\pi\) | |||||||
\(18\) | 5.28509 | + | 4.99898i | 1.24571 | + | 1.17827i | ||||
\(19\) | −3.17111 | + | 2.99066i | −0.727503 | + | 0.686105i | ||||
\(20\) | 0.0311307 | + | 0.559042i | 0.00696104 | + | 0.125006i | ||||
\(21\) | 3.83765 | − | 2.21567i | 0.837443 | − | 0.483498i | ||||
\(22\) | −3.35805 | − | 0.800394i | −0.715938 | − | 0.170645i | ||||
\(23\) | 5.71910 | + | 3.30192i | 1.19251 | + | 0.688498i | 0.958876 | − | 0.283825i | \(-0.0916036\pi\) |
0.233638 | + | 0.972324i | \(0.424937\pi\) | |||||||
\(24\) | −7.94365 | − | 1.43202i | −1.62149 | − | 0.292310i | ||||
\(25\) | 2.46081 | − | 4.26225i | 0.492163 | − | 0.852451i | ||||
\(26\) | −6.14402 | + | 6.49568i | −1.20494 | + | 1.27391i | ||||
\(27\) | −6.11856 | −1.17752 | ||||||||
\(28\) | −1.40086 | + | 2.77170i | −0.264737 | + | 0.523802i | ||||
\(29\) | 0.695180 | + | 0.401362i | 0.129092 | + | 0.0745311i | 0.563155 | − | 0.826351i | \(-0.309587\pi\) |
−0.434064 | + | 0.900882i | \(0.642921\pi\) | |||||||
\(30\) | −0.820836 | − | 0.776398i | −0.149863 | − | 0.141750i | ||||
\(31\) | −1.42017 | −0.255070 | −0.127535 | − | 0.991834i | \(-0.540707\pi\) | ||||
−0.127535 | + | 0.991834i | \(0.540707\pi\) | |||||||
\(32\) | 5.20839 | − | 2.20742i | 0.920722 | − | 0.390220i | ||||
\(33\) | 6.03282 | − | 3.48305i | 1.05018 | − | 0.606322i | ||||
\(34\) | 5.91789 | − | 1.76348i | 1.01491 | − | 0.302435i | ||||
\(35\) | −0.376472 | + | 0.217356i | −0.0636353 | + | 0.0367399i | ||||
\(36\) | 8.60992 | − | 5.63144i | 1.43499 | − | 0.938574i | ||||
\(37\) | − | 4.74916i | − | 0.780757i | −0.920654 | − | 0.390379i | \(-0.872344\pi\) | ||
0.920654 | − | 0.390379i | \(-0.127656\pi\) | |||||||
\(38\) | 3.07439 | + | 5.34304i | 0.498732 | + | 0.866756i | ||||
\(39\) | − | 18.0424i | − | 2.88910i | ||||||
\(40\) | 0.779269 | + | 0.140481i | 0.123213 | + | 0.0222120i | ||||
\(41\) | −5.84961 | + | 3.37728i | −0.913556 | + | 0.527442i | −0.881574 | − | 0.472047i | \(-0.843515\pi\) |
−0.0319825 | + | 0.999488i | \(0.510182\pi\) | |||||||
\(42\) | −1.78970 | − | 6.00586i | −0.276156 | − | 0.926724i | ||||
\(43\) | 0.146372 | − | 0.0845082i | 0.0223216 | − | 0.0128874i | −0.488798 | − | 0.872397i | \(-0.662564\pi\) |
0.511119 | + | 0.859510i | \(0.329231\pi\) | |||||||
\(44\) | −2.20217 | + | 4.35714i | −0.331989 | + | 0.656864i | ||||
\(45\) | 1.44009 | 0.214676 | ||||||||
\(46\) | 6.41763 | − | 6.78495i | 0.946228 | − | 1.00039i | ||||
\(47\) | 1.19839 | + | 0.691890i | 0.174803 | + | 0.100923i | 0.584849 | − | 0.811142i | \(-0.301154\pi\) |
−0.410046 | + | 0.912065i | \(0.634487\pi\) | |||||||
\(48\) | −4.57467 | + | 10.4583i | −0.660297 | + | 1.50953i | ||||
\(49\) | 4.58882 | 0.655546 | ||||||||
\(50\) | −5.05660 | − | 4.78285i | −0.715111 | − | 0.676397i | ||||
\(51\) | −6.23039 | + | 10.7914i | −0.872429 | + | 1.51109i | ||||
\(52\) | 6.92136 | + | 10.5821i | 0.959820 | + | 1.46747i | ||||
\(53\) | 4.25758 | + | 2.45811i | 0.584823 | + | 0.337648i | 0.763048 | − | 0.646342i | \(-0.223702\pi\) |
−0.178225 | + | 0.983990i | \(0.557035\pi\) | |||||||
\(54\) | −2.00624 | + | 8.41716i | −0.273014 | + | 1.14543i | ||||
\(55\) | −0.591818 | + | 0.341686i | −0.0798007 | + | 0.0460730i | ||||
\(56\) | 3.35363 | + | 2.83595i | 0.448147 | + | 0.378970i | ||||
\(57\) | −11.9161 | − | 3.56988i | −1.57832 | − | 0.472842i | ||||
\(58\) | 0.780090 | − | 0.824738i | 0.102431 | − | 0.108293i | ||||
\(59\) | 1.05042 | + | 1.81937i | 0.136752 | + | 0.236862i | 0.926266 | − | 0.376872i | \(-0.123000\pi\) |
−0.789513 | + | 0.613734i | \(0.789667\pi\) | |||||||
\(60\) | −1.33722 | + | 0.874628i | −0.172634 | + | 0.112914i | ||||
\(61\) | −1.58007 | + | 2.73676i | −0.202307 | + | 0.350406i | −0.949271 | − | 0.314458i | \(-0.898177\pi\) |
0.746964 | + | 0.664864i | \(0.231511\pi\) | |||||||
\(62\) | −0.465666 | + | 1.95370i | −0.0591396 | + | 0.248120i | ||||
\(63\) | 6.91749 | + | 3.99381i | 0.871521 | + | 0.503173i | ||||
\(64\) | −1.32889 | − | 7.88886i | −0.166112 | − | 0.986107i | ||||
\(65\) | 1.76995i | 0.219536i | ||||||||
\(66\) | −2.81343 | − | 9.44129i | −0.346309 | − | 1.16214i | ||||
\(67\) | −1.00443 | + | 1.73973i | −0.122711 | + | 0.212542i | −0.920836 | − | 0.389950i | \(-0.872492\pi\) |
0.798125 | + | 0.602492i | \(0.205825\pi\) | |||||||
\(68\) | −0.485543 | − | 8.71934i | −0.0588808 | − | 1.05737i | ||||
\(69\) | 18.8459i | 2.26878i | ||||||||
\(70\) | 0.175569 | + | 0.589173i | 0.0209845 | + | 0.0704196i | ||||
\(71\) | −1.74422 | − | 3.02109i | −0.207001 | − | 0.358537i | 0.743767 | − | 0.668439i | \(-0.233037\pi\) |
−0.950769 | + | 0.309902i | \(0.899704\pi\) | |||||||
\(72\) | −4.92390 | − | 13.6910i | −0.580288 | − | 1.61350i | ||||
\(73\) | −5.43844 | − | 9.41965i | −0.636521 | − | 1.10249i | −0.986191 | − | 0.165613i | \(-0.947040\pi\) |
0.349670 | − | 0.936873i | \(-0.386294\pi\) | |||||||
\(74\) | −6.53331 | − | 1.55722i | −0.759482 | − | 0.181023i | ||||
\(75\) | 14.0452 | 1.62180 | ||||||||
\(76\) | 8.35837 | − | 2.47742i | 0.958771 | − | 0.284180i | ||||
\(77\) | −3.79040 | −0.431956 | ||||||||
\(78\) | −24.8205 | − | 5.91599i | −2.81037 | − | 0.669854i | ||||
\(79\) | 3.00015 | + | 5.19641i | 0.337543 | + | 0.584641i | 0.983970 | − | 0.178334i | \(-0.0570709\pi\) |
−0.646427 | + | 0.762976i | \(0.723738\pi\) | |||||||
\(80\) | 0.448774 | − | 1.02596i | 0.0501744 | − | 0.114706i | ||||
\(81\) | −1.01446 | − | 1.75709i | −0.112717 | − | 0.195232i | ||||
\(82\) | 2.72799 | + | 9.15456i | 0.301256 | + | 1.01095i | ||||
\(83\) | − | 9.99393i | − | 1.09698i | −0.836158 | − | 0.548488i | \(-0.815204\pi\) | ||
0.836158 | − | 0.548488i | \(-0.184796\pi\) | |||||||
\(84\) | −8.84895 | + | 0.492761i | −0.965500 | + | 0.0537646i | ||||
\(85\) | 0.611199 | − | 1.05863i | 0.0662939 | − | 0.114824i | ||||
\(86\) | −0.0682613 | − | 0.229071i | −0.00736080 | − | 0.0247013i | ||||
\(87\) | 2.29079i | 0.245599i | ||||||||
\(88\) | 5.27194 | + | 4.45815i | 0.561991 | + | 0.475240i | ||||
\(89\) | 7.76733 | + | 4.48447i | 0.823335 | + | 0.475353i | 0.851565 | − | 0.524249i | \(-0.175654\pi\) |
−0.0282301 | + | 0.999601i | \(0.508987\pi\) | |||||||
\(90\) | 0.472197 | − | 1.98110i | 0.0497739 | − | 0.208826i | ||||
\(91\) | −4.90862 | + | 8.50198i | −0.514563 | + | 0.891250i | ||||
\(92\) | −7.22959 | − | 11.0533i | −0.753737 | − | 1.15239i | ||||
\(93\) | −2.02642 | − | 3.50987i | −0.210130 | − | 0.363957i | ||||
\(94\) | 1.34476 | − | 1.42173i | 0.138702 | − | 0.146640i | ||||
\(95\) | 1.16896 | + | 0.350204i | 0.119933 | + | 0.0359302i | ||||
\(96\) | 12.8873 | + | 9.72249i | 1.31530 | + | 0.992297i | ||||
\(97\) | −1.77525 | + | 1.02494i | −0.180249 | + | 0.104067i | −0.587410 | − | 0.809290i | \(-0.699852\pi\) |
0.407161 | + | 0.913357i | \(0.366519\pi\) | |||||||
\(98\) | 1.50465 | − | 6.31273i | 0.151992 | − | 0.637682i | ||||
\(99\) | 10.8744 | + | 6.27832i | 1.09292 | + | 0.630995i | ||||
\(100\) | −8.23768 | + | 5.38797i | −0.823768 | + | 0.538797i | ||||
\(101\) | −4.50640 | + | 7.80531i | −0.448404 | + | 0.776658i | −0.998282 | − | 0.0585867i | \(-0.981341\pi\) |
0.549879 | + | 0.835244i | \(0.314674\pi\) | |||||||
\(102\) | 12.8025 | + | 12.1094i | 1.26764 | + | 1.19901i | ||||
\(103\) | −15.5248 | −1.52970 | −0.764852 | − | 0.644207i | \(-0.777188\pi\) | ||||
−0.764852 | + | 0.644207i | \(0.777188\pi\) | |||||||
\(104\) | 16.8270 | − | 6.05176i | 1.65002 | − | 0.593424i | ||||
\(105\) | −1.07437 | − | 0.620285i | −0.104847 | − | 0.0605336i | ||||
\(106\) | 4.77760 | − | 5.05105i | 0.464042 | − | 0.490601i | ||||
\(107\) | −13.5984 | −1.31461 | −0.657305 | − | 0.753624i | \(-0.728304\pi\) | ||||
−0.657305 | + | 0.753624i | \(0.728304\pi\) | |||||||
\(108\) | 10.9215 | + | 5.51987i | 1.05092 | + | 0.531150i | ||||
\(109\) | −9.31513 | + | 5.37809i | −0.892228 | + | 0.515128i | −0.874671 | − | 0.484718i | \(-0.838922\pi\) |
−0.0175573 | + | 0.999846i | \(0.505589\pi\) | |||||||
\(110\) | 0.275996 | + | 0.926187i | 0.0263152 | + | 0.0883085i | ||||
\(111\) | 11.7373 | − | 6.77651i | 1.11405 | − | 0.643198i | ||||
\(112\) | 5.00098 | − | 3.68361i | 0.472549 | − | 0.348069i | ||||
\(113\) | − | 4.47179i | − | 0.420671i | −0.977629 | − | 0.210336i | \(-0.932544\pi\) | ||
0.977629 | − | 0.210336i | \(-0.0674556\pi\) | |||||||
\(114\) | −8.81820 | + | 15.2221i | −0.825900 | + | 1.42568i | ||||
\(115\) | − | 1.84877i | − | 0.172399i | ||||||
\(116\) | −0.878786 | − | 1.34358i | −0.0815933 | − | 0.124748i | ||||
\(117\) | 28.1649 | − | 16.2610i | 2.60385 | − | 1.50333i | ||||
\(118\) | 2.84729 | − | 0.848470i | 0.262115 | − | 0.0781080i | ||||
\(119\) | 5.87180 | − | 3.39008i | 0.538267 | − | 0.310769i | ||||
\(120\) | 0.764739 | + | 2.12637i | 0.0698108 | + | 0.194110i | ||||
\(121\) | 5.04144 | 0.458313 | ||||||||
\(122\) | 3.24680 | + | 3.07103i | 0.293951 | + | 0.278038i | ||||
\(123\) | −16.6935 | − | 9.63798i | −1.50520 | − | 0.869027i | ||||
\(124\) | 2.53497 | + | 1.28121i | 0.227647 | + | 0.115056i | ||||
\(125\) | −2.77760 | −0.248436 | ||||||||
\(126\) | 7.76240 | − | 8.20668i | 0.691529 | − | 0.731109i | ||||
\(127\) | 9.50662 | − | 16.4659i | 0.843576 | − | 1.46112i | −0.0432760 | − | 0.999063i | \(-0.513779\pi\) |
0.886852 | − | 0.462053i | \(-0.152887\pi\) | |||||||
\(128\) | −11.2882 | − | 0.758582i | −0.997750 | − | 0.0670498i | ||||
\(129\) | 0.417714 | + | 0.241167i | 0.0367777 | + | 0.0212336i | ||||
\(130\) | 2.43488 | + | 0.580357i | 0.213553 | + | 0.0509007i | ||||
\(131\) | −3.42232 | + | 1.97588i | −0.299010 | + | 0.172633i | −0.641998 | − | 0.766706i | \(-0.721894\pi\) |
0.342988 | + | 0.939340i | \(0.388561\pi\) | |||||||
\(132\) | −13.9107 | + | 0.774626i | −1.21077 | + | 0.0674226i | ||||
\(133\) | 4.64389 | + | 4.92409i | 0.402676 | + | 0.426973i | ||||
\(134\) | 2.06396 | + | 1.95222i | 0.178299 | + | 0.168646i | ||||
\(135\) | 0.856458 | + | 1.48343i | 0.0737122 | + | 0.127673i | ||||
\(136\) | −12.1542 | − | 2.19107i | −1.04221 | − | 0.187882i | ||||
\(137\) | 8.17058 | − | 14.1519i | 0.698060 | − | 1.20908i | −0.271078 | − | 0.962557i | \(-0.587380\pi\) |
0.969138 | − | 0.246518i | \(-0.0792865\pi\) | |||||||
\(138\) | 25.9258 | + | 6.17945i | 2.20695 | + | 0.526030i | ||||
\(139\) | −0.429169 | − | 0.247781i | −0.0364017 | − | 0.0210165i | 0.481689 | − | 0.876342i | \(-0.340024\pi\) |
−0.518090 | + | 0.855326i | \(0.673357\pi\) | |||||||
\(140\) | 0.868079 | − | 0.0483397i | 0.0733661 | − | 0.00408545i | ||||
\(141\) | 3.94900i | 0.332566i | ||||||||
\(142\) | −4.72796 | + | 1.40889i | −0.396761 | + | 0.118232i | ||||
\(143\) | −7.71641 | + | 13.3652i | −0.645279 | + | 1.11766i | ||||
\(144\) | −20.4489 | + | 2.28451i | −1.70407 | + | 0.190376i | ||||
\(145\) | − | 0.224726i | − | 0.0186625i | ||||||
\(146\) | −14.7416 | + | 4.39288i | −1.22002 | + | 0.363558i | ||||
\(147\) | 6.54773 | + | 11.3410i | 0.540048 | + | 0.935390i | ||||
\(148\) | −4.28446 | + | 8.47711i | −0.352181 | + | 0.696815i | ||||
\(149\) | −5.44884 | − | 9.43768i | −0.446387 | − | 0.773165i | 0.551761 | − | 0.834002i | \(-0.313956\pi\) |
−0.998148 | + | 0.0608378i | \(0.980623\pi\) | |||||||
\(150\) | 4.60534 | − | 19.3217i | 0.376024 | − | 1.57761i | ||||
\(151\) | −10.3234 | −0.840108 | −0.420054 | − | 0.907499i | \(-0.637989\pi\) | ||||
−0.420054 | + | 0.907499i | \(0.637989\pi\) | |||||||
\(152\) | −0.667469 | − | 12.3107i | −0.0541389 | − | 0.998533i | ||||
\(153\) | −22.4610 | −1.81586 | ||||||||
\(154\) | −1.24285 | + | 5.21437i | −0.100152 | + | 0.420186i | ||||
\(155\) | 0.198792 | + | 0.344317i | 0.0159673 | + | 0.0276562i | ||||
\(156\) | −16.2770 | + | 32.2052i | −1.30320 | + | 2.57848i | ||||
\(157\) | −0.891154 | − | 1.54352i | −0.0711218 | − | 0.123187i | 0.828271 | − | 0.560327i | \(-0.189325\pi\) |
−0.899393 | + | 0.437141i | \(0.855991\pi\) | |||||||
\(158\) | 8.13230 | − | 2.42336i | 0.646971 | − | 0.192792i | ||||
\(159\) | 14.0298i | 1.11264i | ||||||||
\(160\) | −1.26424 | − | 0.953773i | −0.0999468 | − | 0.0754024i | ||||
\(161\) | 5.12721 | − | 8.88060i | 0.404081 | − | 0.699889i | ||||
\(162\) | −2.74982 | + | 0.819425i | −0.216046 | + | 0.0643801i | ||||
\(163\) | − | 4.00112i | − | 0.313392i | −0.987647 | − | 0.156696i | \(-0.949916\pi\) | ||
0.987647 | − | 0.156696i | \(-0.0500843\pi\) | |||||||
\(164\) | 13.4882 | − | 0.751102i | 1.05325 | − | 0.0586512i | ||||
\(165\) | −1.68892 | − | 0.975096i | −0.131482 | − | 0.0759111i | ||||
\(166\) | −13.7484 | − | 3.27695i | −1.06708 | − | 0.254340i | ||||
\(167\) | 3.11841 | − | 5.40125i | 0.241310 | − | 0.417961i | −0.719778 | − | 0.694205i | \(-0.755756\pi\) |
0.961088 | + | 0.276243i | \(0.0890896\pi\) | |||||||
\(168\) | −2.22364 | + | 12.3349i | −0.171557 | + | 0.951656i | ||||
\(169\) | 13.4857 | + | 23.3579i | 1.03736 | + | 1.79677i | ||||
\(170\) | −1.25592 | − | 1.18793i | −0.0963248 | − | 0.0911101i | ||||
\(171\) | −5.16683 | − | 21.8189i | −0.395117 | − | 1.66853i | ||||
\(172\) | −0.337510 | + | 0.0187945i | −0.0257349 | + | 0.00143307i | ||||
\(173\) | 10.3232 | − | 5.96012i | 0.784860 | − | 0.453139i | −0.0532897 | − | 0.998579i | \(-0.516971\pi\) |
0.838150 | + | 0.545440i | \(0.183637\pi\) | |||||||
\(174\) | 3.15139 | + | 0.751137i | 0.238906 | + | 0.0569436i | ||||
\(175\) | −6.61841 | − | 3.82114i | −0.500305 | − | 0.288851i | ||||
\(176\) | 7.86161 | − | 5.79069i | 0.592591 | − | 0.436489i | ||||
\(177\) | −2.99765 | + | 5.19208i | −0.225317 | + | 0.390260i | ||||
\(178\) | 8.71604 | − | 9.21490i | 0.653295 | − | 0.690686i | ||||
\(179\) | 20.5057 | 1.53267 | 0.766334 | − | 0.642443i | \(-0.222079\pi\) | ||||
0.766334 | + | 0.642443i | \(0.222079\pi\) | |||||||
\(180\) | −2.57052 | − | 1.29918i | −0.191595 | − | 0.0968352i | ||||
\(181\) | −8.17671 | − | 4.72083i | −0.607770 | − | 0.350896i | 0.164322 | − | 0.986407i | \(-0.447456\pi\) |
−0.772092 | + | 0.635510i | \(0.780790\pi\) | |||||||
\(182\) | 10.0865 | + | 9.54042i | 0.747659 | + | 0.707183i | ||||
\(183\) | −9.01832 | −0.666653 | ||||||||
\(184\) | −17.5763 | + | 6.32126i | −1.29575 | + | 0.466009i | ||||
\(185\) | −1.15142 | + | 0.664774i | −0.0846542 | + | 0.0488751i | ||||
\(186\) | −5.49290 | + | 1.63684i | −0.402759 | + | 0.120019i | ||||
\(187\) | 9.23054 | − | 5.32925i | 0.675004 | − | 0.389714i | ||||
\(188\) | −1.51490 | − | 2.31613i | −0.110485 | − | 0.168921i | ||||
\(189\) | 9.50088i | 0.691087i | ||||||||
\(190\) | 0.865063 | − | 1.49328i | 0.0627582 | − | 0.108334i | ||||
\(191\) | 2.07688i | 0.150278i | 0.997173 | + | 0.0751389i | \(0.0239400\pi\) | ||||
−0.997173 | + | 0.0751389i | \(0.976060\pi\) | |||||||
\(192\) | 17.6007 | − | 14.5408i | 1.27022 | − | 1.04939i | ||||
\(193\) | −9.18321 | + | 5.30193i | −0.661022 | + | 0.381641i | −0.792666 | − | 0.609656i | \(-0.791308\pi\) |
0.131644 | + | 0.991297i | \(0.457974\pi\) | |||||||
\(194\) | 0.827893 | + | 2.77824i | 0.0594392 | + | 0.199466i | ||||
\(195\) | −4.37434 | + | 2.52552i | −0.313253 | + | 0.180857i | ||||
\(196\) | −8.19091 | − | 4.13981i | −0.585065 | − | 0.295701i | ||||
\(197\) | −18.0785 | −1.28804 | −0.644018 | − | 0.765010i | \(-0.722734\pi\) | ||||
−0.644018 | + | 0.765010i | \(0.722734\pi\) | |||||||
\(198\) | 12.2026 | − | 12.9010i | 0.867200 | − | 0.916834i | ||||
\(199\) | 4.97248 | + | 2.87086i | 0.352490 | + | 0.203510i | 0.665781 | − | 0.746147i | \(-0.268098\pi\) |
−0.313291 | + | 0.949657i | \(0.601432\pi\) | |||||||
\(200\) | 4.71102 | + | 13.0991i | 0.333120 | + | 0.926244i | ||||
\(201\) | −5.73285 | −0.404364 | ||||||||
\(202\) | 9.25997 | + | 8.75866i | 0.651529 | + | 0.616257i | ||||
\(203\) | 0.623234 | − | 1.07947i | 0.0437425 | − | 0.0757641i | ||||
\(204\) | 20.8565 | − | 13.6415i | 1.46025 | − | 0.955096i | ||||
\(205\) | 1.63762 | + | 0.945483i | 0.114377 | + | 0.0660354i | ||||
\(206\) | −5.09048 | + | 21.3571i | −0.354671 | + | 1.48802i | ||||
\(207\) | −29.4192 | + | 16.9852i | −2.04477 | + | 1.18055i | ||||
\(208\) | −2.80779 | − | 25.1328i | −0.194685 | − | 1.74265i | ||||
\(209\) | 7.30025 | + | 7.74073i | 0.504969 | + | 0.535438i | ||||
\(210\) | −1.20559 | + | 1.27459i | −0.0831936 | + | 0.0879551i | ||||
\(211\) | 6.39464 | + | 11.0758i | 0.440225 | + | 0.762493i | 0.997706 | − | 0.0676974i | \(-0.0215652\pi\) |
−0.557481 | + | 0.830190i | \(0.688232\pi\) | |||||||
\(212\) | −5.38206 | − | 8.22864i | −0.369641 | − | 0.565145i | ||||
\(213\) | 4.97762 | − | 8.62149i | 0.341061 | − | 0.590735i | ||||
\(214\) | −4.45884 | + | 18.7070i | −0.304800 | + | 1.27879i | ||||
\(215\) | −0.0409776 | − | 0.0236584i | −0.00279465 | − | 0.00161349i | ||||
\(216\) | 11.1746 | − | 13.2145i | 0.760337 | − | 0.899130i | ||||
\(217\) | 2.20524i | 0.149701i | ||||||||
\(218\) | 4.34414 | + | 14.5781i | 0.294222 | + | 0.987350i | ||||
\(219\) | 15.5201 | − | 26.8815i | 1.04875 | − | 1.81649i | ||||
\(220\) | 1.36463 | − | 0.0759906i | 0.0920034 | − | 0.00512329i | ||||
\(221\) | − | 27.6058i | − | 1.85697i | ||||||
\(222\) | −5.47371 | − | 18.3687i | −0.367372 | − | 1.23282i | ||||
\(223\) | 8.96078 | + | 15.5205i | 0.600058 | + | 1.03933i | 0.992812 | + | 0.119688i | \(0.0381894\pi\) |
−0.392753 | + | 0.919644i | \(0.628477\pi\) | |||||||
\(224\) | −3.42767 | − | 8.08757i | −0.229021 | − | 0.540373i | ||||
\(225\) | 12.6585 | + | 21.9251i | 0.843899 | + | 1.46168i | ||||
\(226\) | −6.15174 | − | 1.46627i | −0.409208 | − | 0.0975351i | ||||
\(227\) | 21.5385 | 1.42956 | 0.714781 | − | 0.699349i | \(-0.246527\pi\) | ||||
0.714781 | + | 0.699349i | \(0.246527\pi\) | |||||||
\(228\) | 18.0492 | + | 17.1222i | 1.19534 | + | 1.13395i | ||||
\(229\) | −12.0256 | −0.794674 | −0.397337 | − | 0.917673i | \(-0.630066\pi\) | ||||
−0.397337 | + | 0.917673i | \(0.630066\pi\) | |||||||
\(230\) | −2.54332 | − | 0.606202i | −0.167701 | − | 0.0399718i | ||||
\(231\) | −5.40847 | − | 9.36775i | −0.355851 | − | 0.616353i | ||||
\(232\) | −2.13648 | + | 0.768375i | −0.140267 | + | 0.0504463i | ||||
\(233\) | 6.85432 | + | 11.8720i | 0.449041 | + | 0.777763i | 0.998324 | − | 0.0578742i | \(-0.0184322\pi\) |
−0.549282 | + | 0.835637i | \(0.685099\pi\) | |||||||
\(234\) | −13.1348 | − | 44.0777i | −0.858649 | − | 2.88145i | ||||
\(235\) | − | 0.387395i | − | 0.0252709i | ||||||
\(236\) | −0.233611 | − | 4.19516i | −0.0152068 | − | 0.273082i | ||||
\(237\) | −8.56174 | + | 14.8294i | −0.556145 | + | 0.963271i | ||||
\(238\) | −2.73833 | − | 9.18928i | −0.177500 | − | 0.595653i | ||||
\(239\) | 18.8645i | 1.22024i | 0.792308 | + | 0.610122i | \(0.208880\pi\) | ||||
−0.792308 | + | 0.610122i | \(0.791120\pi\) | |||||||
\(240\) | 3.17595 | − | 0.354811i | 0.205006 | − | 0.0229029i | ||||
\(241\) | 8.86102 | + | 5.11591i | 0.570789 | + | 0.329545i | 0.757464 | − | 0.652877i | \(-0.226438\pi\) |
−0.186676 | + | 0.982422i | \(0.559771\pi\) | |||||||
\(242\) | 1.65306 | − | 6.93539i | 0.106263 | − | 0.445824i | ||||
\(243\) | −6.28281 | + | 10.8821i | −0.403042 | + | 0.698090i | ||||
\(244\) | 5.28935 | − | 3.45957i | 0.338616 | − | 0.221477i | ||||
\(245\) | −0.642330 | − | 1.11255i | −0.0410370 | − | 0.0710781i | ||||
\(246\) | −18.7324 | + | 19.8046i | −1.19434 | + | 1.26269i | ||||
\(247\) | 26.8166 | − | 6.35032i | 1.70630 | − | 0.404061i | ||||
\(248\) | 2.59373 | − | 3.06719i | 0.164702 | − | 0.194767i | ||||
\(249\) | 24.6994 | − | 14.2602i | 1.56526 | − | 0.903704i | ||||
\(250\) | −0.910758 | + | 3.82108i | −0.0576014 | + | 0.241666i | ||||
\(251\) | −7.82852 | − | 4.51980i | −0.494132 | − | 0.285287i | 0.232155 | − | 0.972679i | \(-0.425422\pi\) |
−0.726287 | + | 0.687392i | \(0.758756\pi\) | |||||||
\(252\) | −8.74449 | − | 13.3695i | −0.550851 | − | 0.842197i | ||||
\(253\) | 8.06004 | − | 13.9604i | 0.506731 | − | 0.877683i | ||||
\(254\) | −19.5347 | − | 18.4771i | −1.22571 | − | 1.15936i | ||||
\(255\) | 3.48845 | 0.218455 | ||||||||
\(256\) | −4.74491 | + | 15.2802i | −0.296557 | + | 0.955015i | ||||
\(257\) | −16.3267 | − | 9.42623i | −1.01843 | − | 0.587992i | −0.104783 | − | 0.994495i | \(-0.533415\pi\) |
−0.913649 | + | 0.406503i | \(0.866748\pi\) | |||||||
\(258\) | 0.468734 | − | 0.495562i | 0.0291821 | − | 0.0308523i | ||||
\(259\) | −7.37448 | −0.458228 | ||||||||
\(260\) | 1.59677 | − | 3.15932i | 0.0990273 | − | 0.195933i | ||||
\(261\) | −3.57602 | + | 2.06462i | −0.221350 | + | 0.127797i | ||||
\(262\) | 1.59601 | + | 5.35589i | 0.0986019 | + | 0.330888i | ||||
\(263\) | −15.0334 | + | 8.67952i | −0.926997 | + | 0.535202i | −0.885860 | − | 0.463952i | \(-0.846431\pi\) |
−0.0411363 | + | 0.999154i | \(0.513098\pi\) | |||||||
\(264\) | −3.49558 | + | 19.3906i | −0.215138 | + | 1.19341i | ||||
\(265\) | − | 1.37632i | − | 0.0845466i | ||||||
\(266\) | 8.29666 | − | 4.77391i | 0.508701 | − | 0.292707i | ||||
\(267\) | 25.5953i | 1.56641i | ||||||||
\(268\) | 3.36238 | − | 2.19921i | 0.205390 | − | 0.134338i | ||||
\(269\) | −4.05939 | + | 2.34369i | −0.247505 | + | 0.142897i | −0.618621 | − | 0.785689i | \(-0.712308\pi\) |
0.371116 | + | 0.928586i | \(0.378975\pi\) | |||||||
\(270\) | 2.32155 | − | 0.691802i | 0.141285 | − | 0.0421017i | ||||
\(271\) | 2.27663 | − | 1.31441i | 0.138295 | − | 0.0798449i | −0.429256 | − | 0.903183i | \(-0.641224\pi\) |
0.567551 | + | 0.823338i | \(0.307891\pi\) | |||||||
\(272\) | −6.99948 | + | 16.0018i | −0.424406 | + | 0.970252i | ||||
\(273\) | −28.0162 | −1.69562 | ||||||||
\(274\) | −16.7893 | − | 15.8804i | −1.01428 | − | 0.959370i | ||||
\(275\) | −10.4042 | − | 6.00688i | −0.627398 | − | 0.362229i | ||||
\(276\) | 17.0018 | − | 33.6394i | 1.02339 | − | 2.02485i | ||||
\(277\) | 21.8066 | 1.31023 | 0.655116 | − | 0.755529i | \(-0.272620\pi\) | ||||
0.655116 | + | 0.755529i | \(0.272620\pi\) | |||||||
\(278\) | −0.481588 | + | 0.509152i | −0.0288837 | + | 0.0305369i | ||||
\(279\) | 3.65270 | − | 6.32666i | 0.218681 | − | 0.378767i | ||||
\(280\) | 0.218138 | − | 1.21005i | 0.0130362 | − | 0.0723141i | ||||
\(281\) | 2.94079 | + | 1.69786i | 0.175433 | + | 0.101286i | 0.585145 | − | 0.810929i | \(-0.301038\pi\) |
−0.409712 | + | 0.912215i | \(0.634371\pi\) | |||||||
\(282\) | 5.43254 | + | 1.29485i | 0.323503 | + | 0.0771073i | ||||
\(283\) | 26.3842 | − | 15.2329i | 1.56838 | − | 0.905504i | 0.572020 | − | 0.820240i | \(-0.306160\pi\) |
0.996358 | − | 0.0852641i | \(-0.0271734\pi\) | |||||||
\(284\) | 0.387913 | + | 6.96611i | 0.0230184 | + | 0.413362i | ||||
\(285\) | 0.802467 | + | 3.38872i | 0.0475341 | + | 0.200730i | ||||
\(286\) | 15.8561 | + | 14.9977i | 0.937588 | + | 0.886830i | ||||
\(287\) | 5.24422 | + | 9.08326i | 0.309557 | + | 0.536168i | ||||
\(288\) | −3.56232 | + | 28.8801i | −0.209912 | + | 1.70178i | ||||
\(289\) | −1.03282 | + | 1.78891i | −0.0607544 | + | 0.105230i | ||||
\(290\) | −0.309150 | − | 0.0736863i | −0.0181539 | − | 0.00432701i | ||||
\(291\) | −5.06616 | − | 2.92495i | −0.296983 | − | 0.171463i | ||||
\(292\) | 1.20950 | + | 21.7201i | 0.0707807 | + | 1.27107i | ||||
\(293\) | 29.1032i | 1.70022i | 0.526602 | + | 0.850112i | \(0.323466\pi\) | ||||
−0.526602 | + | 0.850112i | \(0.676534\pi\) | |||||||
\(294\) | 17.7485 | − | 5.28891i | 1.03511 | − | 0.308456i | ||||
\(295\) | 0.294068 | − | 0.509341i | 0.0171213 | − | 0.0296550i | ||||
\(296\) | 10.2569 | + | 8.67363i | 0.596171 | + | 0.504144i | ||||
\(297\) | 14.9355i | 0.866646i | ||||||||
\(298\) | −14.7698 | + | 4.40129i | −0.855593 | + | 0.254960i | ||||
\(299\) | −20.8757 | − | 36.1578i | −1.20727 | − | 2.09106i | ||||
\(300\) | −25.0703 | − | 12.6709i | −1.44743 | − | 0.731555i | ||||
\(301\) | −0.131224 | − | 0.227287i | −0.00756363 | − | 0.0131006i | ||||
\(302\) | −3.38499 | + | 14.2017i | −0.194784 | + | 0.817215i | ||||
\(303\) | −25.7205 | −1.47760 | ||||||||
\(304\) | −17.1545 | − | 3.11840i | −0.983876 | − | 0.178852i | ||||
\(305\) | 0.884694 | 0.0506574 | ||||||||
\(306\) | −7.36482 | + | 30.8990i | −0.421019 | + | 1.76638i | ||||
\(307\) | 3.28294 | + | 5.68622i | 0.187367 | + | 0.324530i | 0.944372 | − | 0.328880i | \(-0.106671\pi\) |
−0.757004 | + | 0.653410i | \(0.773338\pi\) | |||||||
\(308\) | 6.76576 | + | 3.41952i | 0.385515 | + | 0.194845i | ||||
\(309\) | −22.1521 | − | 38.3686i | −1.26019 | − | 2.18271i | ||||
\(310\) | 0.538852 | − | 0.160573i | 0.0306047 | − | 0.00911996i | ||||
\(311\) | 8.33297i | 0.472519i | 0.971690 | + | 0.236260i | \(0.0759216\pi\) | ||||
−0.971690 | + | 0.236260i | \(0.924078\pi\) | |||||||
\(312\) | 38.9668 | + | 32.9517i | 2.20606 | + | 1.86553i | ||||
\(313\) | 2.76342 | − | 4.78638i | 0.156197 | − | 0.270542i | −0.777297 | − | 0.629134i | \(-0.783410\pi\) |
0.933494 | + | 0.358592i | \(0.116743\pi\) | |||||||
\(314\) | −2.41559 | + | 0.719827i | −0.136320 | + | 0.0406222i | ||||
\(315\) | − | 2.23617i | − | 0.125994i | ||||||
\(316\) | −0.667229 | − | 11.9820i | −0.0375345 | − | 0.674041i | ||||
\(317\) | −1.37600 | − | 0.794434i | −0.0772839 | − | 0.0446199i | 0.460860 | − | 0.887473i | \(-0.347541\pi\) |
−0.538144 | + | 0.842853i | \(0.680874\pi\) | |||||||
\(318\) | 19.3005 | + | 4.60028i | 1.08232 | + | 0.257971i | ||||
\(319\) | 0.979731 | − | 1.69694i | 0.0548544 | − | 0.0950107i | ||||
\(320\) | −1.72662 | + | 1.42645i | −0.0965209 | + | 0.0797408i | ||||
\(321\) | −19.4034 | − | 33.6077i | −1.08299 | − | 1.87580i | ||||
\(322\) | −10.5356 | − | 9.96528i | −0.587129 | − | 0.555343i | ||||
\(323\) | −18.2322 | − | 5.46210i | −1.01447 | − | 0.303919i | ||||
\(324\) | 0.225614 | + | 4.05155i | 0.0125341 | + | 0.225086i | ||||
\(325\) | −26.9472 | + | 15.5580i | −1.49476 | + | 0.863002i | ||||
\(326\) | −5.50425 | − | 1.31194i | −0.304852 | − | 0.0726618i | ||||
\(327\) | −26.5833 | − | 15.3479i | −1.47006 | − | 0.848739i | ||||
\(328\) | 3.38943 | − | 18.8017i | 0.187150 | − | 1.03815i | ||||
\(329\) | 1.07437 | − | 1.86085i | 0.0592317 | − | 0.102592i | ||||
\(330\) | −1.89520 | + | 2.00367i | −0.104327 | + | 0.110299i | ||||
\(331\) | 6.01372 | 0.330544 | 0.165272 | − | 0.986248i | \(-0.447150\pi\) | ||||
0.165272 | + | 0.986248i | \(0.447150\pi\) | |||||||
\(332\) | −9.01604 | + | 17.8389i | −0.494819 | + | 0.979035i | ||||
\(333\) | 21.1568 | + | 12.2149i | 1.15939 | + | 0.669372i | ||||
\(334\) | −6.40787 | − | 6.06097i | −0.350623 | − | 0.331641i | ||||
\(335\) | 0.562390 | 0.0307267 | ||||||||
\(336\) | 16.2397 | + | 7.10353i | 0.885947 | + | 0.387530i | ||||
\(337\) | 9.08412 | − | 5.24472i | 0.494843 | − | 0.285698i | −0.231738 | − | 0.972778i | \(-0.574441\pi\) |
0.726582 | + | 0.687080i | \(0.241108\pi\) | |||||||
\(338\) | 36.5549 | − | 10.8931i | 1.98832 | − | 0.592504i | ||||
\(339\) | 11.0518 | − | 6.38074i | 0.600250 | − | 0.346554i | ||||
\(340\) | −2.04602 | + | 1.33823i | −0.110961 | + | 0.0725755i | ||||
\(341\) | 3.46666i | 0.187730i | ||||||||
\(342\) | −31.7099 | − | 0.0463905i | −1.71467 | − | 0.00250851i | ||||
\(343\) | − | 17.9951i | − | 0.971643i | ||||||
\(344\) | −0.0848122 | + | 0.470467i | −0.00457277 | + | 0.0253659i | ||||
\(345\) | 4.56914 | − | 2.63799i | 0.245994 | − | 0.142025i | ||||
\(346\) | −4.81427 | − | 16.1557i | −0.258817 | − | 0.868536i | ||||
\(347\) | 4.05899 | − | 2.34346i | 0.217898 | − | 0.125803i | −0.387079 | − | 0.922047i | \(-0.626516\pi\) |
0.604976 | + | 0.796243i | \(0.293183\pi\) | |||||||
\(348\) | 2.06664 | − | 4.08900i | 0.110784 | − | 0.219193i | ||||
\(349\) | 30.0162 | 1.60673 | 0.803365 | − | 0.595487i | \(-0.203041\pi\) | ||||
0.803365 | + | 0.595487i | \(0.203041\pi\) | |||||||
\(350\) | −7.42679 | + | 7.85187i | −0.396979 | + | 0.419700i | ||||
\(351\) | 33.5008 | + | 19.3417i | 1.78814 | + | 1.03238i | ||||
\(352\) | −5.38834 | − | 12.7138i | −0.287199 | − | 0.677646i | ||||
\(353\) | 5.44792 | 0.289963 | 0.144982 | − | 0.989434i | \(-0.453688\pi\) | ||||
0.144982 | + | 0.989434i | \(0.453688\pi\) | |||||||
\(354\) | 6.15971 | + | 5.82624i | 0.327385 | + | 0.309661i | ||||
\(355\) | −0.488303 | + | 0.845766i | −0.0259164 | + | 0.0448886i | ||||
\(356\) | −9.81879 | − | 15.0120i | −0.520395 | − | 0.795632i | ||||
\(357\) | 16.7568 | + | 9.67453i | 0.886863 | + | 0.512031i | ||||
\(358\) | 6.72369 | − | 28.2092i | 0.355358 | − | 1.49090i | ||||
\(359\) | −3.48977 | + | 2.01482i | −0.184183 | + | 0.106338i | −0.589257 | − | 0.807946i | \(-0.700579\pi\) |
0.405073 | + | 0.914284i | \(0.367246\pi\) | |||||||
\(360\) | −2.63011 | + | 3.11021i | −0.138619 | + | 0.163923i | ||||
\(361\) | 1.11190 | − | 18.9674i | 0.0585208 | − | 0.998286i | ||||
\(362\) | −9.17543 | + | 9.70058i | −0.482250 | + | 0.509851i | ||||
\(363\) | 7.19357 | + | 12.4596i | 0.377564 | + | 0.653961i | ||||
\(364\) | 16.4318 | − | 10.7475i | 0.861262 | − | 0.563321i | ||||
\(365\) | −1.52251 | + | 2.63707i | −0.0796920 | + | 0.138031i | ||||
\(366\) | −2.95705 | + | 12.4063i | −0.154568 | + | 0.648487i | ||||
\(367\) | −22.8092 | − | 13.1689i | −1.19063 | − | 0.687410i | −0.232180 | − | 0.972673i | \(-0.574586\pi\) |
−0.958449 | + | 0.285262i | \(0.907919\pi\) | |||||||
\(368\) | 2.93283 | + | 26.2521i | 0.152884 | + | 1.36848i | ||||
\(369\) | − | 34.7456i | − | 1.80878i | ||||||
\(370\) | 0.536969 | + | 1.80196i | 0.0279157 | + | 0.0936794i | ||||
\(371\) | 3.81695 | − | 6.61115i | 0.198166 | − | 0.343234i | ||||
\(372\) | 0.450674 | + | 8.09316i | 0.0233664 | + | 0.419611i | ||||
\(373\) | 0.859389i | 0.0444975i | 0.999752 | + | 0.0222487i | \(0.00708258\pi\) | ||||
−0.999752 | + | 0.0222487i | \(0.992917\pi\) | |||||||
\(374\) | −4.30469 | − | 14.4457i | −0.222590 | − | 0.746967i | ||||
\(375\) | −3.96332 | − | 6.86468i | −0.204665 | − | 0.354490i | ||||
\(376\) | −3.68298 | + | 1.32457i | −0.189935 | + | 0.0683093i | ||||
\(377\) | −2.53753 | − | 4.39513i | −0.130689 | − | 0.226361i | ||||
\(378\) | 13.0701 | + | 3.11528i | 0.672255 | + | 0.160233i | ||||
\(379\) | −16.0874 | −0.826354 | −0.413177 | − | 0.910651i | \(-0.635581\pi\) | ||||
−0.413177 | + | 0.910651i | \(0.635581\pi\) | |||||||
\(380\) | −1.77063 | − | 1.67968i | −0.0908312 | − | 0.0861660i | ||||
\(381\) | 54.2595 | 2.77980 | ||||||||
\(382\) | 2.85712 | + | 0.680997i | 0.146183 | + | 0.0348428i | ||||
\(383\) | 11.6043 | + | 20.0993i | 0.592953 | + | 1.02703i | 0.993832 | + | 0.110894i | \(0.0353715\pi\) |
−0.400879 | + | 0.916131i | \(0.631295\pi\) | |||||||
\(384\) | −14.2323 | − | 28.9806i | −0.726287 | − | 1.47891i | ||||
\(385\) | 0.530570 | + | 0.918973i | 0.0270403 | + | 0.0468352i | ||||
\(386\) | 4.28262 | + | 14.3716i | 0.217980 | + | 0.731495i | ||||
\(387\) | 0.869424i | 0.0441953i | ||||||||
\(388\) | 4.09342 | − | 0.227945i | 0.207812 | − | 0.0115722i | ||||
\(389\) | −1.33595 | + | 2.31394i | −0.0677354 | + | 0.117321i | −0.897904 | − | 0.440191i | \(-0.854911\pi\) |
0.830169 | + | 0.557512i | \(0.188244\pi\) | |||||||
\(390\) | 2.03999 | + | 6.84577i | 0.103299 | + | 0.346649i | ||||
\(391\) | 28.8352i | 1.45826i | ||||||||
\(392\) | −8.38079 | + | 9.91063i | −0.423294 | + | 0.500562i | ||||
\(393\) | −9.76653 | − | 5.63871i | −0.492656 | − | 0.284435i | ||||
\(394\) | −5.92781 | + | 24.8701i | −0.298639 | + | 1.25294i | ||||
\(395\) | 0.839904 | − | 1.45476i | 0.0422601 | − | 0.0731967i | ||||
\(396\) | −13.7464 | − | 21.0170i | −0.690785 | − | 1.05614i | ||||
\(397\) | 11.7655 | + | 20.3785i | 0.590495 | + | 1.02277i | 0.994166 | + | 0.107863i | \(0.0344009\pi\) |
−0.403670 | + | 0.914904i | \(0.632266\pi\) | |||||||
\(398\) | 5.57983 | − | 5.89919i | 0.279691 | − | 0.295700i | ||||
\(399\) | −5.54330 | + | 18.5032i | −0.277512 | + | 0.926319i | ||||
\(400\) | 19.5648 | − | 2.18574i | 0.978239 | − | 0.109287i | ||||
\(401\) | −19.5498 | + | 11.2871i | −0.976271 | + | 0.563650i | −0.901142 | − | 0.433524i | \(-0.857270\pi\) |
−0.0751286 | + | 0.997174i | \(0.523937\pi\) | |||||||
\(402\) | −1.87976 | + | 7.88654i | −0.0937542 | + | 0.393345i | ||||
\(403\) | 7.77582 | + | 4.48937i | 0.387341 | + | 0.223632i | ||||
\(404\) | 15.0854 | − | 9.86680i | 0.750525 | − | 0.490892i | ||||
\(405\) | −0.284001 | + | 0.491905i | −0.0141121 | + | 0.0244430i | ||||
\(406\) | −1.28065 | − | 1.21132i | −0.0635576 | − | 0.0601168i | ||||
\(407\) | −11.5928 | −0.574633 | ||||||||
\(408\) | −11.9276 | − | 33.1648i | −0.590503 | − | 1.64190i | ||||
\(409\) | 16.6161 | + | 9.59330i | 0.821612 | + | 0.474358i | 0.850972 | − | 0.525211i | \(-0.176014\pi\) |
−0.0293599 | + | 0.999569i | \(0.509347\pi\) | |||||||
\(410\) | 1.83765 | − | 1.94282i | 0.0907548 | − | 0.0959492i | ||||
\(411\) | 46.6340 | 2.30029 | ||||||||
\(412\) | 27.7113 | + | 14.0057i | 1.36524 | + | 0.690012i | ||||
\(413\) | 2.82512 | − | 1.63108i | 0.139015 | − | 0.0802603i | ||||
\(414\) | 13.7197 | + | 46.0406i | 0.674288 | + | 2.26277i | ||||
\(415\) | −2.42300 | + | 1.39892i | −0.118941 | + | 0.0686704i | ||||
\(416\) | −35.4953 | − | 4.37829i | −1.74030 | − | 0.214663i | ||||
\(417\) | − | 1.41422i | − | 0.0692547i | ||||||
\(418\) | 13.0425 | − | 7.50464i | 0.637927 | − | 0.367064i | ||||
\(419\) | 33.0168i | 1.61298i | 0.591250 | + | 0.806488i | \(0.298635\pi\) | ||||
−0.591250 | + | 0.806488i | \(0.701365\pi\) | |||||||
\(420\) | 1.35812 | + | 2.07643i | 0.0662695 | + | 0.101319i | ||||
\(421\) | −23.8682 | + | 13.7803i | −1.16326 | + | 0.671611i | −0.952084 | − | 0.305836i | \(-0.901064\pi\) |
−0.211180 | + | 0.977447i | \(0.567731\pi\) | |||||||
\(422\) | 17.3335 | − | 5.16526i | 0.843784 | − | 0.251441i | ||||
\(423\) | −6.16454 | + | 3.55910i | −0.299730 | + | 0.173049i | ||||
\(424\) | −13.0847 | + | 4.70585i | −0.635449 | + | 0.228536i | ||||
\(425\) | 21.4899 | 1.04241 | ||||||||
\(426\) | −10.2283 | − | 9.67453i | −0.495561 | − | 0.468733i | ||||
\(427\) | 4.24963 | + | 2.45353i | 0.205654 | + | 0.118734i | ||||
\(428\) | 24.2728 | + | 12.2679i | 1.17327 | + | 0.592989i | ||||
\(429\) | −44.0418 | −2.12636 | ||||||||
\(430\) | −0.0459826 | + | 0.0486145i | −0.00221748 | + | 0.00234440i | ||||
\(431\) | 7.78027 | − | 13.4758i | 0.374763 | − | 0.649108i | −0.615529 | − | 0.788114i | \(-0.711058\pi\) |
0.990291 | + | 0.139007i | \(0.0443909\pi\) | |||||||
\(432\) | −14.5147 | − | 19.7056i | −0.698340 | − | 0.948087i | ||||
\(433\) | −24.5338 | − | 14.1646i | −1.17902 | − | 0.680707i | −0.223231 | − | 0.974765i | \(-0.571661\pi\) |
−0.955787 | + | 0.294059i | \(0.904994\pi\) | |||||||
\(434\) | 3.03370 | + | 0.723084i | 0.145622 | + | 0.0347092i | ||||
\(435\) | 0.555397 | − | 0.320659i | 0.0266293 | − | 0.0153744i | ||||
\(436\) | 21.4791 | − | 1.19608i | 1.02866 | − | 0.0572819i | ||||
\(437\) | −28.0108 | + | 6.63312i | −1.33994 | + | 0.317305i | ||||
\(438\) | −31.8914 | − | 30.1649i | −1.52383 | − | 1.44133i | ||||
\(439\) | −17.4269 | − | 30.1843i | −0.831742 | − | 1.44062i | −0.896655 | − | 0.442729i | \(-0.854010\pi\) |
0.0649131 | − | 0.997891i | \(-0.479323\pi\) | |||||||
\(440\) | 0.342916 | − | 1.90221i | 0.0163479 | − | 0.0906842i | ||||
\(441\) | −11.8025 | + | 20.4425i | −0.562024 | + | 0.973454i | ||||
\(442\) | −37.9767 | − | 9.05178i | −1.80637 | − | 0.430549i | ||||
\(443\) | −21.8508 | − | 12.6156i | −1.03816 | − | 0.599385i | −0.118852 | − | 0.992912i | \(-0.537921\pi\) |
−0.919313 | + | 0.393527i | \(0.871255\pi\) | |||||||
\(444\) | −27.0641 | + | 1.50709i | −1.28441 | + | 0.0715232i | ||||
\(445\) | − | 2.51089i | − | 0.119028i | ||||||
\(446\) | 24.2894 | − | 7.23805i | 1.15014 | − | 0.342732i | ||||
\(447\) | 15.5498 | − | 26.9330i | 0.735479 | − | 1.27389i | ||||
\(448\) | −12.2498 | + | 2.06350i | −0.578748 | + | 0.0974912i | ||||
\(449\) | 22.0336i | 1.03983i | 0.854218 | + | 0.519915i | \(0.174036\pi\) | ||||
−0.854218 | + | 0.519915i | \(0.825964\pi\) | |||||||
\(450\) | 34.3125 | − | 10.2249i | 1.61751 | − | 0.482004i | ||||
\(451\) | 8.24398 | + | 14.2790i | 0.388194 | + | 0.672372i | ||||
\(452\) | −4.03424 | + | 7.98202i | −0.189755 | + | 0.375443i | ||||
\(453\) | −14.7304 | − | 25.5137i | −0.692093 | − | 1.19874i | ||||
\(454\) | 7.06235 | − | 29.6300i | 0.331452 | − | 1.39061i | ||||
\(455\) | 2.74838 | 0.128846 | ||||||||
\(456\) | 29.4729 | − | 19.2157i | 1.38019 | − | 0.899855i | ||||
\(457\) | −18.9216 | −0.885116 | −0.442558 | − | 0.896740i | \(-0.645929\pi\) | ||||
−0.442558 | + | 0.896740i | \(0.645929\pi\) | |||||||
\(458\) | −3.94312 | + | 16.5433i | −0.184250 | + | 0.773019i | ||||
\(459\) | −13.3581 | − | 23.1369i | −0.623503 | − | 1.07994i | ||||
\(460\) | −1.66787 | + | 3.30001i | −0.0777651 | + | 0.153864i | ||||
\(461\) | 15.8498 | + | 27.4526i | 0.738198 | + | 1.27860i | 0.953306 | + | 0.302006i | \(0.0976564\pi\) |
−0.215108 | + | 0.976590i | \(0.569010\pi\) | |||||||
\(462\) | −14.6604 | + | 4.36868i | −0.682064 | + | 0.203249i | ||||
\(463\) | − | 21.7267i | − | 1.00973i | −0.863200 | − | 0.504863i | \(-0.831543\pi\) | ||
0.863200 | − | 0.504863i | \(-0.168457\pi\) | |||||||
\(464\) | 0.356497 | + | 3.19105i | 0.0165500 | + | 0.148141i | ||||
\(465\) | −0.567306 | + | 0.982603i | −0.0263082 | + | 0.0455671i | ||||
\(466\) | 18.5796 | − | 5.53656i | 0.860682 | − | 0.256476i | ||||
\(467\) | − | 38.6475i | − | 1.78839i | −0.447674 | − | 0.894197i | \(-0.647747\pi\) | ||
0.447674 | − | 0.894197i | \(-0.352253\pi\) | |||||||
\(468\) | −64.9435 | + | 3.61643i | −3.00201 | + | 0.167170i | ||||
\(469\) | 2.70144 | + | 1.55968i | 0.124741 | + | 0.0720193i | ||||
\(470\) | −0.532931 | − | 0.127025i | −0.0245823 | − | 0.00585920i | ||||
\(471\) | 2.54315 | − | 4.40487i | 0.117182 | − | 0.202966i | ||||
\(472\) | −5.84778 | − | 1.05419i | −0.269166 | − | 0.0485232i | ||||
\(473\) | −0.206286 | − | 0.357297i | −0.00948503 | − | 0.0164286i | ||||
\(474\) | 17.5931 | + | 16.6406i | 0.808076 | + | 0.764330i | ||||
\(475\) | 4.94344 | + | 20.8755i | 0.226821 | + | 0.957835i | ||||
\(476\) | −13.5394 | + | 0.753950i | −0.620576 | + | 0.0345573i | ||||
\(477\) | −21.9011 | + | 12.6446i | −1.00278 | + | 0.578956i | ||||
\(478\) | 25.9515 | + | 6.18556i | 1.18699 | + | 0.282921i | ||||
\(479\) | 33.7610 | + | 19.4919i | 1.54258 | + | 0.890608i | 0.998675 | + | 0.0514591i | \(0.0163872\pi\) |
0.543902 | + | 0.839148i | \(0.316946\pi\) | |||||||
\(480\) | 0.553269 | − | 4.48541i | 0.0252531 | − | 0.204730i | ||||
\(481\) | −15.0128 | + | 26.0029i | −0.684525 | + | 1.18563i | ||||
\(482\) | 9.94331 | − | 10.5124i | 0.452906 | − | 0.478828i | ||||
\(483\) | 29.2638 | 1.33155 | ||||||||
\(484\) | −8.99883 | − | 4.54815i | −0.409038 | − | 0.206734i | ||||
\(485\) | 0.496988 | + | 0.286936i | 0.0225671 | + | 0.0130291i | ||||
\(486\) | 12.9102 | + | 12.2113i | 0.585619 | + | 0.553916i | ||||
\(487\) | 20.8439 | 0.944526 | 0.472263 | − | 0.881458i | \(-0.343437\pi\) | ||||
0.472263 | + | 0.881458i | \(0.343437\pi\) | |||||||
\(488\) | −3.02491 | − | 8.41081i | −0.136931 | − | 0.380739i | ||||
\(489\) | 9.88853 | − | 5.70915i | 0.447175 | − | 0.258176i | ||||
\(490\) | −1.74112 | + | 0.518841i | −0.0786559 | + | 0.0234388i | ||||
\(491\) | −33.0406 | + | 19.0760i | −1.49110 | + | 0.860887i | −0.999948 | − | 0.0101871i | \(-0.996757\pi\) |
−0.491152 | + | 0.871074i | \(0.663424\pi\) | |||||||
\(492\) | 21.1024 | + | 32.2636i | 0.951372 | + | 1.45455i | ||||
\(493\) | 3.50503i | 0.157859i | ||||||||
\(494\) | 0.0570166 | − | 38.9732i | 0.00256530 | − | 1.75349i | ||||
\(495\) | − | 3.51529i | − | 0.158000i | ||||||
\(496\) | −3.36900 | − | 4.57385i | −0.151272 | − | 0.205372i | ||||
\(497\) | −4.69113 | + | 2.70843i | −0.210426 | + | 0.121490i | ||||
\(498\) | −11.5186 | − | 38.6542i | −0.516163 | − | 1.73214i | ||||
\(499\) | −17.9283 | + | 10.3509i | −0.802580 | + | 0.463370i | −0.844373 | − | 0.535756i | \(-0.820027\pi\) |
0.0417924 | + | 0.999126i | \(0.486693\pi\) | |||||||
\(500\) | 4.95794 | + | 2.50582i | 0.221726 | + | 0.112064i | ||||
\(501\) | 17.7985 | 0.795178 | ||||||||
\(502\) | −8.78471 | + | 9.28750i | −0.392081 | + | 0.414521i | ||||
\(503\) | 17.8283 | + | 10.2932i | 0.794924 | + | 0.458949i | 0.841693 | − | 0.539956i | \(-0.181559\pi\) |
−0.0467693 | + | 0.998906i | \(0.514893\pi\) | |||||||
\(504\) | −21.2593 | + | 7.64582i | −0.946965 | + | 0.340572i | ||||
\(505\) | 2.52317 | 0.112280 | ||||||||
\(506\) | −16.5622 | − | 15.6655i | −0.736278 | − | 0.696418i | ||||
\(507\) | −38.4852 | + | 66.6583i | −1.70919 | + | 2.96040i | ||||
\(508\) | −31.8238 | + | 20.8148i | −1.41195 | + | 0.923509i | ||||
\(509\) | −18.0800 | − | 10.4385i | −0.801382 | − | 0.462678i | 0.0425720 | − | 0.999093i | \(-0.486445\pi\) |
−0.843954 | + | 0.536415i | \(0.819778\pi\) | |||||||
\(510\) | 1.14384 | − | 4.79898i | 0.0506501 | − | 0.212502i | ||||
\(511\) | −14.6268 | + | 8.44479i | −0.647051 | + | 0.373575i | ||||
\(512\) | 19.4648 | + | 11.5378i | 0.860233 | + | 0.509902i | ||||
\(513\) | 19.4026 | − | 18.2985i | 0.856647 | − | 0.807900i | ||||
\(514\) | −18.3209 | + | 19.3695i | −0.808099 | + | 0.854351i | ||||
\(515\) | 2.17312 | + | 3.76395i | 0.0957589 | + | 0.165859i | ||||
\(516\) | −0.528038 | − | 0.807318i | −0.0232456 | − | 0.0355402i | ||||
\(517\) | 1.68892 | − | 2.92529i | 0.0742784 | − | 0.128654i | ||||
\(518\) | −2.41805 | + | 10.1449i | −0.106243 | + | 0.445741i | ||||
\(519\) | 29.4602 | + | 17.0088i | 1.29316 | + | 0.746605i | ||||
\(520\) | −3.82263 | − | 3.23255i | −0.167633 | − | 0.141757i | ||||
\(521\) | − | 44.1884i | − | 1.93593i | −0.251085 | − | 0.967965i | \(-0.580788\pi\) | ||
0.251085 | − | 0.967965i | \(-0.419212\pi\) | |||||||
\(522\) | 1.66769 | + | 5.59642i | 0.0729928 | + | 0.244949i | ||||
\(523\) | −10.6571 | + | 18.4587i | −0.466004 | + | 0.807143i | −0.999246 | − | 0.0388195i | \(-0.987640\pi\) |
0.533242 | + | 0.845963i | \(0.320974\pi\) | |||||||
\(524\) | 7.89129 | − | 0.439433i | 0.344733 | − | 0.0191967i | ||||
\(525\) | − | 21.8094i | − | 0.951838i | ||||||
\(526\) | 7.01086 | + | 23.5270i | 0.305688 | + | 1.02583i | ||||
\(527\) | −3.10054 | − | 5.37029i | −0.135061 | − | 0.233933i | ||||
\(528\) | 25.5290 | + | 11.1668i | 1.11101 | + | 0.485974i | ||||
\(529\) | 10.3054 | + | 17.8494i | 0.448060 | + | 0.776063i | ||||
\(530\) | −1.89337 | − | 0.451286i | −0.0822427 | − | 0.0196026i | ||||
\(531\) | −10.8067 | −0.468972 | ||||||||
\(532\) | −3.84693 | − | 12.9789i | −0.166786 | − | 0.562705i | ||||
\(533\) | 42.7043 | 1.84973 | ||||||||
\(534\) | 35.2109 | + | 8.39255i | 1.52372 | + | 0.363181i | ||||
\(535\) | 1.90347 | + | 3.29691i | 0.0822942 | + | 0.142538i | ||||
\(536\) | −1.92290 | − | 5.34666i | −0.0830568 | − | 0.230940i | ||||
\(537\) | 29.2593 | + | 50.6786i | 1.26263 | + | 2.18694i | ||||
\(538\) | 1.89311 | + | 6.35288i | 0.0816177 | + | 0.273892i | ||||
\(539\) | − | 11.2014i | − | 0.482478i | ||||||
\(540\) | −0.190475 | − | 3.42053i | −0.00819675 | − | 0.147196i | ||||
\(541\) | 12.9168 | − | 22.3725i | 0.555335 | − | 0.961868i | −0.442543 | − | 0.896747i | \(-0.645924\pi\) |
0.997877 | − | 0.0651204i | \(-0.0207431\pi\) | |||||||
\(542\) | −1.06171 | − | 3.56289i | −0.0456045 | − | 0.153039i | ||||
\(543\) | − | 26.9443i | − | 1.15629i | ||||||
\(544\) | 19.7182 | + | 14.8759i | 0.845411 | + | 0.637800i | ||||
\(545\) | 2.60781 | + | 1.50562i | 0.111706 | + | 0.0644937i | ||||
\(546\) | −9.18634 | + | 38.5412i | −0.393139 | + | 1.64941i | ||||
\(547\) | 13.4386 | − | 23.2764i | 0.574595 | − | 0.995227i | −0.421491 | − | 0.906833i | \(-0.638493\pi\) |
0.996086 | − | 0.0883943i | \(-0.0281736\pi\) | |||||||
\(548\) | −27.3514 | + | 17.8896i | −1.16839 | + | 0.764205i | ||||
\(549\) | −8.12791 | − | 14.0780i | −0.346891 | − | 0.600832i | ||||
\(550\) | −11.6750 | + | 12.3432i | −0.497824 | + | 0.526317i | ||||
\(551\) | −3.40483 | + | 0.806282i | −0.145051 | + | 0.0343488i | ||||
\(552\) | −40.7021 | − | 34.4192i | −1.73239 | − | 1.46498i | ||||
\(553\) | 8.06896 | − | 4.65862i | 0.343127 | − | 0.198105i | ||||
\(554\) | 7.15025 | − | 29.9988i | 0.303785 | − | 1.27453i | ||||
\(555\) | −3.28590 | − | 1.89711i | −0.139479 | − | 0.0805280i | ||||
\(556\) | 0.542519 | + | 0.829458i | 0.0230079 | + | 0.0351768i | ||||
\(557\) | 20.3185 | − | 35.1927i | 0.860923 | − | 1.49116i | −0.0101155 | − | 0.999949i | \(-0.503220\pi\) |
0.871039 | − | 0.491214i | \(-0.163447\pi\) | |||||||
\(558\) | −7.50574 | − | 7.09941i | −0.317743 | − | 0.300542i | ||||
\(559\) | −1.06857 | −0.0451958 | ||||||||
\(560\) | −1.59311 | − | 0.696854i | −0.0673210 | − | 0.0294475i | ||||
\(561\) | 26.3419 | + | 15.2085i | 1.11215 | + | 0.642103i | ||||
\(562\) | 3.29998 | − | 3.48885i | 0.139201 | − | 0.147168i | ||||
\(563\) | −4.06692 | −0.171400 | −0.0857000 | − | 0.996321i | \(-0.527313\pi\) | ||||
−0.0857000 | + | 0.996321i | \(0.527313\pi\) | |||||||
\(564\) | 3.56259 | − | 7.04885i | 0.150012 | − | 0.296810i | ||||
\(565\) | −1.08418 | + | 0.625949i | −0.0456116 | + | 0.0263339i | ||||
\(566\) | −12.3044 | − | 41.2909i | −0.517191 | − | 1.73559i | ||||
\(567\) | −2.72840 | + | 1.57525i | −0.114582 | + | 0.0661541i | ||||
\(568\) | 9.71030 | + | 1.75050i | 0.407435 | + | 0.0734494i | ||||
\(569\) | − | 23.2914i | − | 0.976425i | −0.872725 | − | 0.488213i | \(-0.837649\pi\) | ||
0.872725 | − | 0.488213i | \(-0.162351\pi\) | |||||||
\(570\) | 4.92491 | + | 0.00720498i | 0.206282 | + | 0.000301783i | ||||
\(571\) | − | 24.9781i | − | 1.04530i | −0.852548 | − | 0.522650i | \(-0.824944\pi\) | ||
0.852548 | − | 0.522650i | \(-0.175056\pi\) | |||||||
\(572\) | 25.8310 | − | 16.8952i | 1.08005 | − | 0.706422i | ||||
\(573\) | −5.13289 | + | 2.96347i | −0.214429 | + | 0.123801i | ||||
\(574\) | 14.2152 | − | 4.23601i | 0.593330 | − | 0.176808i | ||||
\(575\) | 28.1473 | − | 16.2508i | 1.17382 | − | 0.677706i | ||||
\(576\) | 38.5616 | + | 14.3702i | 1.60674 | + | 0.598759i | ||||
\(577\) | −3.49896 | −0.145664 | −0.0728319 | − | 0.997344i | \(-0.523204\pi\) | ||||
−0.0728319 | + | 0.997344i | \(0.523204\pi\) | |||||||
\(578\) | 2.12230 | + | 2.00740i | 0.0882760 | + | 0.0834970i | ||||
\(579\) | −26.2068 | − | 15.1305i | −1.08912 | − | 0.628802i | ||||
\(580\) | −0.202737 | + | 0.401130i | −0.00841820 | + | 0.0166560i | ||||
\(581\) | −15.5185 | −0.643818 | ||||||||
\(582\) | −5.68494 | + | 6.01032i | −0.235648 | + | 0.249136i | ||||
\(583\) | 6.00029 | − | 10.3928i | 0.248507 | − | 0.430426i | ||||
\(584\) | 30.2764 | + | 5.45800i | 1.25285 | + | 0.225854i | ||||
\(585\) | −7.88489 | − | 4.55234i | −0.326000 | − | 0.188216i | ||||
\(586\) | 40.0365 | + | 9.54274i | 1.65389 | + | 0.394207i | ||||
\(587\) | 23.1734 | − | 13.3791i | 0.956467 | − | 0.552217i | 0.0613832 | − | 0.998114i | \(-0.480449\pi\) |
0.895084 | + | 0.445898i | \(0.147115\pi\) | |||||||
\(588\) | −1.45621 | − | 26.1504i | −0.0600529 | − | 1.07842i | ||||
\(589\) | 4.50352 | − | 4.24725i | 0.185564 | − | 0.175005i | ||||
\(590\) | −0.604265 | − | 0.571552i | −0.0248772 | − | 0.0235304i | ||||
\(591\) | −25.7959 | − | 44.6798i | −1.06110 | − | 1.83788i | ||||
\(592\) | 15.2953 | − | 11.2662i | 0.628632 | − | 0.463037i | ||||
\(593\) | −10.9939 | + | 19.0420i | −0.451466 | + | 0.781962i | −0.998477 | − | 0.0551635i | \(-0.982432\pi\) |
0.547012 | + | 0.837125i | \(0.315765\pi\) | |||||||
\(594\) | 20.5464 | + | 4.89726i | 0.843030 | + | 0.200937i | ||||
\(595\) | −1.64383 | − | 0.949068i | −0.0673907 | − | 0.0389080i | ||||
\(596\) | 1.21182 | + | 21.7617i | 0.0496379 | + | 0.891392i | ||||
\(597\) | 16.3856i | 0.670618i | ||||||||
\(598\) | −56.5865 | + | 16.8623i | −2.31399 | + | 0.689552i | ||||
\(599\) | −20.5172 | + | 35.5369i | −0.838312 | + | 1.45200i | 0.0529931 | + | 0.998595i | \(0.483124\pi\) |
−0.891305 | + | 0.453404i | \(0.850209\pi\) | |||||||
\(600\) | −25.6515 | + | 30.3339i | −1.04722 | + | 1.23838i | ||||
\(601\) | − | 21.1376i | − | 0.862222i | −0.902299 | − | 0.431111i | \(-0.858122\pi\) | ||
0.902299 | − | 0.431111i | \(-0.141878\pi\) | |||||||
\(602\) | −0.355700 | + | 0.105996i | −0.0144973 | + | 0.00432007i | ||||
\(603\) | −5.16683 | − | 8.94920i | −0.210409 | − | 0.364440i | ||||
\(604\) | 18.4270 | + | 9.31329i | 0.749785 | + | 0.378953i | ||||
\(605\) | −0.705687 | − | 1.22229i | −0.0286902 | − | 0.0496930i | ||||
\(606\) | −8.43359 | + | 35.3831i | −0.342591 | + | 1.43734i | ||||
\(607\) | −36.6714 | −1.48845 | −0.744223 | − | 0.667931i | \(-0.767180\pi\) | ||||
−0.744223 | + | 0.667931i | \(0.767180\pi\) | |||||||
\(608\) | −9.91475 | + | 22.5765i | −0.402096 | + | 0.915597i | ||||
\(609\) | 3.55714 | 0.144142 | ||||||||
\(610\) | 0.290086 | − | 1.21705i | 0.0117452 | − | 0.0492770i | ||||
\(611\) | −4.37434 | − | 7.57657i | −0.176967 | − | 0.306515i | ||||
\(612\) | 40.0922 | + | 20.2632i | 1.62063 | + | 0.819092i | ||||
\(613\) | −5.71378 | − | 9.89656i | −0.230777 | − | 0.399718i | 0.727260 | − | 0.686362i | \(-0.240794\pi\) |
−0.958037 | + | 0.286644i | \(0.907460\pi\) | |||||||
\(614\) | 8.89886 | − | 2.65179i | 0.359129 | − | 0.107018i | ||||
\(615\) | 5.39639i | 0.217603i | ||||||||
\(616\) | 6.92260 | − | 8.18625i | 0.278919 | − | 0.329834i | ||||
\(617\) | −17.6282 | + | 30.5329i | −0.709684 | + | 1.22921i | 0.255290 | + | 0.966864i | \(0.417829\pi\) |
−0.964974 | + | 0.262344i | \(0.915504\pi\) | |||||||
\(618\) | −60.0463 | + | 17.8933i | −2.41542 | + | 0.719775i | ||||
\(619\) | 24.9916i | 1.00450i | 0.864723 | + | 0.502248i | \(0.167494\pi\) | ||||
−0.864723 | + | 0.502248i | \(0.832506\pi\) | |||||||
\(620\) | −0.0442110 | − | 0.793936i | −0.00177556 | − | 0.0318853i | ||||
\(621\) | −34.9926 | − | 20.2030i | −1.40421 | − | 0.810719i | ||||
\(622\) | 11.4635 | + | 2.73233i | 0.459643 | + | 0.109556i | ||||
\(623\) | 6.96347 | − | 12.0611i | 0.278985 | − | 0.483217i | ||||
\(624\) | 58.1079 | − | 42.8010i | 2.32618 | − | 1.71341i | ||||
\(625\) | −11.9153 | − | 20.6378i | −0.476611 | − | 0.825514i | ||||
\(626\) | −5.67840 | − | 5.37099i | −0.226954 | − | 0.214668i | ||||
\(627\) | −8.71413 | + | 29.0873i | −0.348009 | + | 1.16163i | ||||
\(628\) | 0.198191 | + | 3.55910i | 0.00790870 | + | 0.142024i | ||||
\(629\) | 17.9586 | − | 10.3684i | 0.716058 | − | 0.413416i | ||||
\(630\) | −3.07625 | − | 0.733226i | −0.122561 | − | 0.0292124i | ||||
\(631\) | −25.5638 | − | 14.7593i | −1.01768 | − | 0.587557i | −0.104249 | − | 0.994551i | \(-0.533244\pi\) |
−0.913431 | + | 0.406994i | \(0.866577\pi\) | |||||||
\(632\) | −16.7022 | − | 3.01094i | −0.664376 | − | 0.119769i | ||||
\(633\) | −18.2489 | + | 31.6080i | −0.725327 | + | 1.25630i | ||||
\(634\) | −1.54407 | + | 1.63244i | −0.0613227 | + | 0.0648325i | ||||
\(635\) | −5.32284 | −0.211230 | ||||||||
\(636\) | 12.6570 | − | 25.0428i | 0.501883 | − | 0.993011i | ||||
\(637\) | −25.1250 | − | 14.5059i | −0.995490 | − | 0.574746i | ||||
\(638\) | −2.01320 | − | 1.90421i | −0.0797033 | − | 0.0753884i | ||||
\(639\) | 17.9447 | 0.709880 | ||||||||
\(640\) | 1.39618 | + | 2.84299i | 0.0551889 | + | 0.112379i | ||||
\(641\) | 5.77953 | − | 3.33681i | 0.228278 | − | 0.131796i | −0.381500 | − | 0.924369i | \(-0.624592\pi\) |
0.609777 | + | 0.792573i | \(0.291259\pi\) | |||||||
\(642\) | −52.5956 | + | 15.6731i | −2.07578 | + | 0.618567i | ||||
\(643\) | −5.43174 | + | 3.13602i | −0.214207 | + | 0.123673i | −0.603265 | − | 0.797541i | \(-0.706134\pi\) |
0.389058 | + | 0.921213i | \(0.372801\pi\) | |||||||
\(644\) | −17.1636 | + | 11.2261i | −0.676340 | + | 0.442370i | ||||
\(645\) | − | 0.135032i | − | 0.00531686i | ||||||
\(646\) | −13.4923 | + | 23.2906i | −0.530848 | + | 0.916357i | ||||
\(647\) | 12.3759i | 0.486545i | 0.969958 | + | 0.243273i | \(0.0782209\pi\) | ||||
−0.969958 | + | 0.243273i | \(0.921779\pi\) | |||||||
\(648\) | 5.64760 | + | 1.01811i | 0.221859 | + | 0.0399950i | ||||
\(649\) | 4.44112 | − | 2.56408i | 0.174329 | − | 0.100649i | ||||
\(650\) | 12.5669 | + | 42.1720i | 0.492915 | + | 1.65412i | ||||
\(651\) | −5.45012 | + | 3.14663i | −0.213607 | + | 0.123326i | ||||
\(652\) | −3.60962 | + | 7.14188i | −0.141364 | + | 0.279698i | ||||
\(653\) | 19.0047 | 0.743712 | 0.371856 | − | 0.928291i | \(-0.378722\pi\) | ||||
0.371856 | + | 0.928291i | \(0.378722\pi\) | |||||||
\(654\) | −29.8302 | + | 31.5375i | −1.16645 | + | 1.23321i | ||||
\(655\) | 0.958094 | + | 0.553156i | 0.0374358 | + | 0.0216136i | ||||
\(656\) | −24.7537 | − | 10.8277i | −0.966468 | − | 0.422751i | ||||
\(657\) | 55.9509 | 2.18285 | ||||||||
\(658\) | −2.20766 | − | 2.08814i | −0.0860634 | − | 0.0814042i | ||||
\(659\) | 8.04046 | − | 13.9265i | 0.313212 | − | 0.542499i | −0.665844 | − | 0.746091i | \(-0.731928\pi\) |
0.979056 | + | 0.203592i | \(0.0652616\pi\) | |||||||
\(660\) | 2.13498 | + | 3.26418i | 0.0831040 | + | 0.127058i | ||||
\(661\) | 1.29673 | + | 0.748665i | 0.0504368 | + | 0.0291197i | 0.525006 | − | 0.851098i | \(-0.324063\pi\) |
−0.474570 | + | 0.880218i | \(0.657396\pi\) | |||||||
\(662\) | 1.97186 | − | 8.27294i | 0.0766386 | − | 0.321537i | ||||
\(663\) | 68.2261 | − | 39.3904i | 2.64968 | − | 1.52980i | ||||
\(664\) | 21.5842 | + | 18.2524i | 0.837630 | + | 0.708331i | ||||
\(665\) | 0.543796 | − | 1.81516i | 0.0210875 | − | 0.0703889i | ||||
\(666\) | 23.7409 | − | 25.0998i | 0.919943 | − | 0.972596i | ||||
\(667\) | 2.65053 | + | 4.59086i | 0.102629 | + | 0.177759i | ||||
\(668\) | −10.4390 | + | 6.82780i | −0.403898 | + | 0.264175i | ||||
\(669\) | −25.5721 | + | 44.2921i | −0.988673 | + | 1.71243i | ||||
\(670\) | 0.184404 | − | 0.773667i | 0.00712416 | − | 0.0298894i | ||||
\(671\) | 6.68047 | + | 3.85697i | 0.257897 | + | 0.148897i | ||||
\(672\) | 15.0971 | − | 20.0113i | 0.582381 | − | 0.771954i | ||||
\(673\) | 16.8784i | 0.650614i | 0.945608 | + | 0.325307i | \(0.105468\pi\) | ||||
−0.945608 | + | 0.325307i | \(0.894532\pi\) | |||||||
\(674\) | −4.23641 | − | 14.2165i | −0.163180 | − | 0.547600i | ||||
\(675\) | −15.0566 | + | 26.0789i | −0.579530 | + | 1.00378i | ||||
\(676\) | −2.99921 | − | 53.8594i | −0.115354 | − | 2.07152i | ||||
\(677\) | − | 9.76982i | − | 0.375485i | −0.982218 | − | 0.187742i | \(-0.939883\pi\) | ||
0.982218 | − | 0.187742i | \(-0.0601170\pi\) | |||||||
\(678\) | −5.15403 | − | 17.2959i | −0.197939 | − | 0.664244i | ||||
\(679\) | 1.59152 | + | 2.75660i | 0.0610771 | + | 0.105789i | ||||
\(680\) | 1.17009 | + | 3.25345i | 0.0448709 | + | 0.124764i | ||||
\(681\) | 30.7330 | + | 53.2312i | 1.17769 | + | 2.03982i | ||||
\(682\) | 4.76901 | + | 1.13670i | 0.182615 | + | 0.0435264i | ||||
\(683\) | 28.9124 | 1.10630 | 0.553152 | − | 0.833080i | \(-0.313425\pi\) | ||||
0.553152 | + | 0.833080i | \(0.313425\pi\) | |||||||
\(684\) | −10.4613 | + | 43.6073i | −0.399997 | + | 1.66737i | ||||
\(685\) | −4.57478 | −0.174793 | ||||||||
\(686\) | −24.7554 | − | 5.90048i | −0.945166 | − | 0.225281i | ||||
\(687\) | −17.1592 | − | 29.7206i | −0.654663 | − | 1.13391i | ||||
\(688\) | 0.619401 | + | 0.270937i | 0.0236144 | + | 0.0103294i | ||||
\(689\) | −15.5409 | − | 26.9177i | −0.592062 | − | 1.02548i | ||||
\(690\) | −2.13083 | − | 7.15063i | −0.0811194 | − | 0.272220i | ||||
\(691\) | 22.5621i | 0.858301i | 0.903233 | + | 0.429151i | \(0.141187\pi\) | ||||
−0.903233 | + | 0.429151i | \(0.858813\pi\) | |||||||
\(692\) | −23.8036 | + | 1.32552i | −0.904877 | + | 0.0503888i | ||||
\(693\) | 9.74896 | − | 16.8857i | 0.370332 | − | 0.641434i | ||||
\(694\) | −1.89292 | − | 6.35226i | −0.0718543 | − | 0.241128i | ||||
\(695\) | 0.138735i | 0.00526251i | ||||||||
\(696\) | −4.94750 | − | 4.18379i | −0.187535 | − | 0.158586i | ||||
\(697\) | −25.5419 | − | 14.7466i | −0.967468 | − | 0.558568i | ||||
\(698\) | 9.84212 | − | 41.2926i | 0.372530 | − | 1.56295i | ||||
\(699\) | −19.5607 | + | 33.8801i | −0.739853 | + | 1.28146i | ||||
\(700\) | 8.36643 | + | 12.7914i | 0.316221 | + | 0.483471i | ||||
\(701\) | −7.98011 | − | 13.8220i | −0.301405 | − | 0.522048i | 0.675050 | − | 0.737772i | \(-0.264122\pi\) |
−0.976454 | + | 0.215724i | \(0.930789\pi\) | |||||||
\(702\) | 37.5926 | − | 39.7442i | 1.41884 | − | 1.50005i | ||||
\(703\) | 14.2031 | + | 15.0601i | 0.535681 | + | 0.568003i | ||||
\(704\) | −19.2568 | + | 3.24385i | −0.725769 | + | 0.122257i | ||||
\(705\) | 0.957424 | − | 0.552769i | 0.0360587 | − | 0.0208185i | ||||
\(706\) | 1.78634 | − | 7.49457i | 0.0672297 | − | 0.282062i | ||||
\(707\) | 12.1201 | + | 6.99752i | 0.455822 | + | 0.263169i | ||||
\(708\) | 10.0348 | − | 6.56338i | 0.377129 | − | 0.246667i | ||||
\(709\) | 22.2760 | − | 38.5831i | 0.836592 | − | 1.44902i | −0.0561354 | − | 0.998423i | \(-0.517878\pi\) |
0.892728 | − | 0.450597i | \(-0.148789\pi\) | |||||||
\(710\) | 1.00339 | + | 0.949068i | 0.0376565 | + | 0.0356179i | ||||
\(711\) | −30.8656 | −1.15755 | ||||||||
\(712\) | −23.8711 | + | 8.58514i | −0.894608 | + | 0.321742i | ||||
\(713\) | −8.12210 | − | 4.68930i | −0.304175 | − | 0.175616i | ||||
\(714\) | 18.8035 | − | 19.8797i | 0.703702 | − | 0.743979i | ||||
\(715\) | 4.32048 | 0.161577 | ||||||||
\(716\) | −36.6021 | − | 18.4992i | −1.36788 | − | 0.691349i | ||||
\(717\) | −46.6225 | + | 26.9175i | −1.74115 | + | 1.00525i | ||||
\(718\) | 1.62747 | + | 5.46145i | 0.0607365 | + | 0.203819i | ||||
\(719\) | −12.6303 | + | 7.29208i | −0.471029 | + | 0.271949i | −0.716670 | − | 0.697412i | \(-0.754335\pi\) |
0.245641 | + | 0.969361i | \(0.421001\pi\) | |||||||
\(720\) | 3.41625 | + | 4.63800i | 0.127316 | + | 0.172848i | ||||
\(721\) | 24.1068i | 0.897786i | ||||||||
\(722\) | −25.7285 | − | 7.74892i | −0.957515 | − | 0.288385i | ||||
\(723\) | 29.1993i | 1.08593i | ||||||||
\(724\) | 10.3363 | + | 15.8032i | 0.384145 | + | 0.587320i | ||||
\(725\) | 3.42141 | − | 1.97535i | 0.127068 | − | 0.0733628i | ||||
\(726\) | 19.4991 | − | 5.81059i | 0.723681 | − | 0.215651i | ||||
\(727\) | 23.1083 | − | 13.3416i | 0.857038 | − | 0.494811i | −0.00598134 | − | 0.999982i | \(-0.501904\pi\) |
0.863019 | + | 0.505171i | \(0.168571\pi\) | |||||||
\(728\) | −9.39715 | − | 26.1289i | −0.348282 | − | 0.968402i | ||||
\(729\) | −41.9462 | −1.55356 | ||||||||
\(730\) | 3.12853 | + | 2.95916i | 0.115792 | + | 0.109524i | ||||
\(731\) | 0.639124 | + | 0.368998i | 0.0236389 | + | 0.0136479i | ||||
\(732\) | 16.0974 | + | 8.13589i | 0.594978 | + | 0.300711i | ||||
\(733\) | −3.76480 | −0.139056 | −0.0695280 | − | 0.997580i | \(-0.522149\pi\) | ||||
−0.0695280 | + | 0.997580i | \(0.522149\pi\) | |||||||
\(734\) | −25.5951 | + | 27.0601i | −0.944733 | + | 0.998805i | ||||
\(735\) | 1.83306 | − | 3.17496i | 0.0676136 | − | 0.117110i | ||||
\(736\) | 37.0760 | + | 4.57327i | 1.36664 | + | 0.168573i | ||||
\(737\) | 4.24670 | + | 2.45184i | 0.156429 | + | 0.0903145i | ||||
\(738\) | −47.7987 | − | 11.3929i | −1.75949 | − | 0.419377i | ||||
\(739\) | −9.58864 | + | 5.53600i | −0.352724 | + | 0.203645i | −0.665884 | − | 0.746055i | \(-0.731946\pi\) |
0.313161 | + | 0.949700i | \(0.398612\pi\) | |||||||
\(740\) | 2.65498 | − | 0.147845i | 0.0975991 | − | 0.00543488i | ||||
\(741\) | 53.9587 | + | 57.2145i | 1.98222 | + | 2.10183i | ||||
\(742\) | −7.84325 | − | 7.41864i | −0.287935 | − | 0.272347i | ||||
\(743\) | −1.49113 | − | 2.58272i | −0.0547044 | − | 0.0947508i | 0.837376 | − | 0.546627i | \(-0.184088\pi\) |
−0.892081 | + | 0.451876i | \(0.850755\pi\) | |||||||
\(744\) | 11.2813 | + | 2.03372i | 0.413594 | + | 0.0745596i | ||||
\(745\) | −1.52543 | + | 2.64212i | −0.0558873 | + | 0.0967997i | ||||
\(746\) | 1.18224 | + | 0.281788i | 0.0432849 | + | 0.0103170i | ||||
\(747\) | 44.5215 | + | 25.7045i | 1.62896 | + | 0.940479i | ||||
\(748\) | −21.2840 | + | 1.18522i | −0.778222 | + | 0.0433359i | ||||
\(749\) | 21.1156i | 0.771548i | ||||||||
\(750\) | −10.7431 | + | 3.20136i | −0.392283 | + | 0.116897i | ||||
\(751\) | −6.22840 | + | 10.7879i | −0.227278 | + | 0.393656i | −0.957000 | − | 0.290087i | \(-0.906316\pi\) |
0.729723 | + | 0.683743i | \(0.239649\pi\) | |||||||
\(752\) | 0.614550 | + | 5.50090i | 0.0224103 | + | 0.200597i | ||||
\(753\) | − | 25.7970i | − | 0.940094i | ||||||
\(754\) | −6.87832 | + | 2.04968i | −0.250494 | + | 0.0746451i | ||||
\(755\) | 1.44504 | + | 2.50289i | 0.0525905 | + | 0.0910894i | ||||
\(756\) | 8.57124 | − | 16.9588i | 0.311733 | − | 0.616786i | ||||
\(757\) | 7.03074 | + | 12.1776i | 0.255537 | + | 0.442603i | 0.965041 | − | 0.262098i | \(-0.0844145\pi\) |
−0.709504 | + | 0.704701i | \(0.751081\pi\) | |||||||
\(758\) | −5.27496 | + | 22.1311i | −0.191595 | + | 0.803836i | ||||
\(759\) | 46.0031 | 1.66981 | ||||||||
\(760\) | −2.89128 | + | 1.88505i | −0.104878 | + | 0.0683779i | ||||
\(761\) | −0.551543 | −0.0199934 | −0.00999671 | − | 0.999950i | \(-0.503182\pi\) | ||||
−0.00999671 | + | 0.999950i | \(0.503182\pi\) | |||||||
\(762\) | 17.7914 | − | 74.6435i | 0.644513 | − | 2.70405i | ||||
\(763\) | 8.35109 | + | 14.4645i | 0.302330 | + | 0.523650i | ||||
\(764\) | 1.87366 | − | 3.70717i | 0.0677867 | − | 0.134121i | ||||
\(765\) | 3.14402 | + | 5.44561i | 0.113672 | + | 0.196886i | ||||
\(766\) | 31.4551 | − | 9.37337i | 1.13652 | − | 0.338673i | ||||
\(767\) | − | 13.2821i | − | 0.479588i | ||||||
\(768\) | −44.5347 | + | 10.0764i | −1.60701 | + | 0.363601i | ||||
\(769\) | 15.8424 | − | 27.4398i | 0.571291 | − | 0.989505i | −0.425143 | − | 0.905126i | \(-0.639776\pi\) |
0.996434 | − | 0.0843789i | \(-0.0268906\pi\) | |||||||
\(770\) | 1.43818 | − | 0.428566i | 0.0518284 | − | 0.0154445i | ||||
\(771\) | − | 53.8007i | − | 1.93758i | ||||||
\(772\) | 21.1749 | − | 1.17914i | 0.762102 | − | 0.0424383i | ||||
\(773\) | 29.1564 | + | 16.8335i | 1.04868 | + | 0.605458i | 0.922281 | − | 0.386521i | \(-0.126323\pi\) |
0.126403 | + | 0.991979i | \(0.459657\pi\) | |||||||
\(774\) | 1.19605 | + | 0.285079i | 0.0429910 | + | 0.0102469i | ||||
\(775\) | −3.49478 | + | 6.05313i | −0.125536 | + | 0.217435i | ||||
\(776\) | 1.02863 | − | 5.70596i | 0.0369256 | − | 0.204832i | ||||
\(777\) | −10.5226 | − | 18.2256i | −0.377494 | − | 0.653840i | ||||
\(778\) | 2.74518 | + | 2.59656i | 0.0984193 | + | 0.0930912i | ||||
\(779\) | 8.44949 | − | 28.2039i | 0.302734 | − | 1.01051i | ||||
\(780\) | 10.0865 | − | 0.561673i | 0.361154 | − | 0.0201111i | ||||
\(781\) | −7.37452 | + | 4.25768i | −0.263881 | + | 0.152352i | ||||
\(782\) | 39.6679 | + | 9.45488i | 1.41852 | + | 0.338106i | ||||
\(783\) | −4.25350 | − | 2.45576i | −0.152008 | − | 0.0877617i | ||||
\(784\) | 10.8858 | + | 14.7789i | 0.388779 | + | 0.527818i | ||||
\(785\) | −0.249482 | + | 0.432116i | −0.00890440 | + | 0.0154229i | ||||
\(786\) | −10.9594 | + | 11.5867i | −0.390910 | + | 0.413284i | ||||
\(787\) | −35.7482 | −1.27429 | −0.637143 | − | 0.770746i | \(-0.719884\pi\) | ||||
−0.637143 | + | 0.770746i | \(0.719884\pi\) | |||||||
\(788\) | 32.2695 | + | 16.3095i | 1.14955 | + | 0.581002i | ||||
\(789\) | −42.9018 | − | 24.7694i | −1.52734 | − | 0.881813i | ||||
\(790\) | −1.72587 | − | 1.63244i | −0.0614038 | − | 0.0580797i | ||||
\(791\) | −6.94379 | −0.246893 | ||||||||
\(792\) | −33.4199 | + | 12.0193i | −1.18752 | + | 0.427088i | ||||
\(793\) | 17.3026 | − | 9.98966i | 0.614433 | − | 0.354743i | ||||
\(794\) | 31.8921 | − | 9.50358i | 1.13181 | − | 0.337270i | ||||
\(795\) | 3.40149 | − | 1.96385i | 0.120638 | − | 0.0696506i | ||||
\(796\) | −6.28578 | − | 9.61034i | −0.222794 | − | 0.340630i | ||||
\(797\) | 5.75647i | 0.203905i | 0.994789 | + | 0.101952i | \(0.0325089\pi\) | ||||
−0.994789 | + | 0.101952i | \(0.967491\pi\) | |||||||
\(798\) | 23.6368 | + | 13.6929i | 0.836735 | + | 0.484722i | ||||
\(799\) | 6.04217i | 0.213757i | ||||||||
\(800\) | 3.40830 | − | 27.6315i | 0.120502 | − | 0.976921i | ||||
\(801\) | −39.9553 | + | 23.0682i | −1.41175 | + | 0.815075i | ||||
\(802\) | 9.11712 | + | 30.5952i | 0.321937 | + | 1.08035i | ||||
\(803\) | −22.9935 | + | 13.2753i | −0.811423 | + | 0.468475i | ||||
\(804\) | 10.2330 | + | 5.17190i | 0.360889 | + | 0.182399i | ||||
\(805\) | −2.87077 | −0.101181 | ||||||||
\(806\) | 8.72557 | − | 9.22498i | 0.307345 | − | 0.324936i | ||||
\(807\) | −11.5846 | − | 6.68835i | −0.407796 | − | 0.235441i | ||||
\(808\) | −8.62713 | − | 23.9879i | −0.303501 | − | 0.843890i | ||||
\(809\) | −23.6128 | −0.830183 | −0.415092 | − | 0.909780i | \(-0.636250\pi\) | ||||
−0.415092 | + | 0.909780i | \(0.636250\pi\) | |||||||
\(810\) | 0.583580 | + | 0.551987i | 0.0205049 | + | 0.0193948i | ||||
\(811\) | 12.3112 | − | 21.3236i | 0.432305 | − | 0.748774i | −0.564766 | − | 0.825251i | \(-0.691034\pi\) |
0.997071 | + | 0.0764766i | \(0.0243671\pi\) | |||||||
\(812\) | −2.08630 | + | 1.36458i | −0.0732149 | + | 0.0478872i | ||||
\(813\) | 6.49699 | + | 3.75104i | 0.227859 | + | 0.131555i | ||||
\(814\) | −3.80120 | + | 15.9479i | −0.133232 | + | 0.558974i | ||||
\(815\) | −0.970061 | + | 0.560065i | −0.0339798 | + | 0.0196182i | ||||
\(816\) | −49.5350 | + | 5.53395i | −1.73407 | + | 0.193727i | ||||
\(817\) | −0.211428 | + | 0.705735i | −0.00739693 | + | 0.0246905i | ||||
\(818\) | 18.6456 | − | 19.7128i | 0.651928 | − | 0.689241i | ||||
\(819\) | −25.2501 | − | 43.7344i | −0.882309 | − | 1.52820i | ||||
\(820\) | −2.07014 | − | 3.16504i | −0.0722925 | − | 0.110528i | ||||
\(821\) | −4.18861 | + | 7.25489i | −0.146184 | + | 0.253197i | −0.929814 | − | 0.368030i | \(-0.880032\pi\) |
0.783630 | + | 0.621227i | \(0.213366\pi\) | |||||||
\(822\) | 15.2910 | − | 64.1533i | 0.533335 | − | 2.23760i | ||||
\(823\) | 30.5293 | + | 17.6261i | 1.06418 | + | 0.614407i | 0.926587 | − | 0.376081i | \(-0.122729\pi\) |
0.137597 | + | 0.990488i | \(0.456062\pi\) | |||||||
\(824\) | 28.3537 | − | 33.5294i | 0.987748 | − | 1.16805i | ||||
\(825\) | − | 34.2846i | − | 1.19364i | ||||||
\(826\) | −1.31750 | − | 4.42127i | −0.0458418 | − | 0.153836i | ||||
\(827\) | −10.4127 | + | 18.0352i | −0.362083 | + | 0.627147i | −0.988304 | − | 0.152500i | \(-0.951268\pi\) |
0.626220 | + | 0.779646i | \(0.284601\pi\) | |||||||
\(828\) | 67.8356 | − | 3.77748i | 2.35745 | − | 0.131276i | ||||
\(829\) | 4.88647i | 0.169714i | 0.996393 | + | 0.0848571i | \(0.0270434\pi\) | ||||
−0.996393 | + | 0.0848571i | \(0.972957\pi\) | |||||||
\(830\) | 1.12998 | + | 3.79197i | 0.0392220 | + | 0.131621i | ||||
\(831\) | 31.1155 | + | 53.8937i | 1.07939 | + | 1.86955i | ||||
\(832\) | −17.6618 | + | 47.3944i | −0.612313 | + | 1.64311i | ||||
\(833\) | 10.0184 | + | 17.3523i | 0.347116 | + | 0.601222i | ||||
\(834\) | −1.94551 | − | 0.463714i | −0.0673675 | − | 0.0160571i | ||||
\(835\) | −1.74603 | −0.0604237 | ||||||||
\(836\) | −6.04742 | − | 20.4029i | −0.209154 | − | 0.705650i | ||||
\(837\) | 8.68941 | 0.300350 | ||||||||
\(838\) | 45.4204 | + | 10.8260i | 1.56902 | + | 0.373978i | ||||
\(839\) | −21.6907 | − | 37.5693i | −0.748845 | − | 1.29704i | −0.948377 | − | 0.317146i | \(-0.897276\pi\) |
0.199532 | − | 0.979891i | \(-0.436058\pi\) | |||||||
\(840\) | 3.30182 | − | 1.18748i | 0.113923 | − | 0.0409721i | ||||
\(841\) | −14.1778 | − | 24.5567i | −0.488890 | − | 0.846783i | ||||
\(842\) | 11.1310 | + | 37.3534i | 0.383600 | + | 1.28728i | ||||
\(843\) | 9.69064i | 0.333764i | ||||||||
\(844\) | −1.42216 | − | 25.5390i | −0.0489528 | − | 0.879089i | ||||
\(845\) | 3.77538 | − | 6.53916i | 0.129877 | − | 0.224954i | ||||
\(846\) | 2.87485 | + | 9.64742i | 0.0988395 | + | 0.331685i | ||||
\(847\) | − | 7.82834i | − | 0.268985i | ||||||
\(848\) | 2.18334 | + | 19.5433i | 0.0749763 | + | 0.671120i | ||||
\(849\) | 75.2946 | + | 43.4713i | 2.58410 | + | 1.49193i | ||||
\(850\) | 7.04641 | − | 29.5631i | 0.241690 | − | 1.01401i | ||||
\(851\) | 15.6814 | − | 27.1609i | 0.537550 | − | 0.931064i | ||||
\(852\) | −16.6628 | + | 10.8985i | −0.570858 | + | 0.373378i | ||||
\(853\) | 9.29120 | + | 16.0928i | 0.318124 | + | 0.551008i | 0.980097 | − | 0.198521i | \(-0.0636137\pi\) |
−0.661972 | + | 0.749528i | \(0.730280\pi\) | |||||||
\(854\) | 4.76869 | − | 5.04162i | 0.163181 | − | 0.172521i | ||||
\(855\) | −4.56669 | + | 4.30683i | −0.156178 | + | 0.147290i | ||||
\(856\) | 24.8355 | − | 29.3690i | 0.848860 | − | 1.00381i | ||||
\(857\) | −7.00104 | + | 4.04205i | −0.239151 | + | 0.138074i | −0.614786 | − | 0.788694i | \(-0.710758\pi\) |
0.375636 | + | 0.926767i | \(0.377424\pi\) | |||||||
\(858\) | −14.4410 | + | 60.5873i | −0.493009 | + | 2.06841i | ||||
\(859\) | −25.8421 | − | 14.9199i | −0.881720 | − | 0.509061i | −0.0104946 | − | 0.999945i | \(-0.503341\pi\) |
−0.871225 | + | 0.490884i | \(0.836674\pi\) | |||||||
\(860\) | 0.0518003 | + | 0.0791976i | 0.00176638 | + | 0.00270062i | ||||
\(861\) | −14.9658 | + | 25.9216i | −0.510034 | + | 0.883405i | ||||
\(862\) | −15.9873 | − | 15.1218i | −0.544529 | − | 0.515050i | ||||
\(863\) | 51.8026 | 1.76338 | 0.881690 | − | 0.471828i | \(-0.156406\pi\) | ||||
0.881690 | + | 0.471828i | \(0.156406\pi\) | |||||||
\(864\) | −31.8678 | + | 13.5062i | −1.08417 | + | 0.459491i | ||||
\(865\) | −2.89003 | − | 1.66856i | −0.0982640 | − | 0.0567328i | ||||
\(866\) | −27.5304 | + | 29.1061i | −0.935520 | + | 0.989065i | ||||
\(867\) | −5.89490 | −0.200201 | ||||||||
\(868\) | 1.98946 | − | 3.93629i | 0.0675267 | − | 0.133606i | ||||
\(869\) | 12.6845 | − | 7.32340i | 0.430292 | − | 0.248429i | ||||
\(870\) | −0.259011 | − | 0.869189i | −0.00878131 | − | 0.0294683i | ||||
\(871\) | 10.9991 | − | 6.35032i | 0.372690 | − | 0.215172i | ||||
\(872\) | 5.39744 | − | 29.9405i | 0.182781 | − | 1.01391i | ||||
\(873\) | − | 10.5446i | − | 0.356882i | ||||||
\(874\) | −0.0595557 | + | 40.7088i | −0.00201450 | + | 1.37700i | ||||
\(875\) | 4.31305i | 0.145808i | ||||||||
\(876\) | −51.9541 | + | 33.9813i | −1.75537 | + | 1.14812i | ||||
\(877\) | 46.8512 | − | 27.0496i | 1.58205 | − | 0.913399i | 0.587494 | − | 0.809228i | \(-0.300115\pi\) |
0.994559 | − | 0.104171i | \(-0.0332188\pi\) | |||||||
\(878\) | −47.2381 | + | 14.0766i | −1.59421 | + | 0.475061i | ||||
\(879\) | −71.9267 | + | 41.5269i | −2.42603 | + | 1.40067i | ||||
\(880\) | −2.50438 | − | 1.09546i | −0.0844227 | − | 0.0369281i | ||||
\(881\) | −19.1357 | −0.644697 | −0.322348 | − | 0.946621i | \(-0.604472\pi\) | ||||
−0.322348 | + | 0.946621i | \(0.604472\pi\) | |||||||
\(882\) | 24.2523 | + | 22.9394i | 0.816619 | + | 0.772410i | ||||
\(883\) | −3.35722 | − | 1.93829i | −0.112979 | − | 0.0652286i | 0.442446 | − | 0.896795i | \(-0.354111\pi\) |
−0.555425 | + | 0.831567i | \(0.687444\pi\) | |||||||
\(884\) | −24.9046 | + | 49.2756i | −0.837634 | + | 1.65732i | ||||
\(885\) | 1.67841 | 0.0564191 | ||||||||
\(886\) | −24.5197 | + | 25.9231i | −0.823756 | + | 0.870904i | ||||
\(887\) | −24.7029 | + | 42.7867i | −0.829442 | + | 1.43664i | 0.0690337 | + | 0.997614i | \(0.478008\pi\) |
−0.898476 | + | 0.439022i | \(0.855325\pi\) | |||||||
\(888\) | −6.80090 | + | 37.7256i | −0.228223 | + | 1.26599i | ||||
\(889\) | −25.5683 | − | 14.7618i | −0.857532 | − | 0.495097i | ||||
\(890\) | −3.45418 | − | 0.823306i | −0.115784 | − | 0.0275973i | ||||
\(891\) | −4.28909 | + | 2.47630i | −0.143690 | + | 0.0829593i | ||||
\(892\) | −1.99287 | − | 35.7877i | −0.0667261 | − | 1.19826i | ||||
\(893\) | −5.86943 | + | 1.38991i | −0.196413 | + | 0.0465117i | ||||
\(894\) | −31.9524 | − | 30.2226i | −1.06865 | − | 1.01080i | ||||
\(895\) | −2.87033 | − | 4.97155i | −0.0959445 | − | 0.166181i | ||||
\(896\) | −1.17792 | + | 17.5284i | −0.0393517 | + | 0.585581i | ||||
\(897\) | 59.5746 | − | 103.186i | 1.98914 | − | 3.44529i | ||||
\(898\) | 30.3111 | + | 7.22468i | 1.01150 | + | 0.241091i | ||||
\(899\) | −0.987275 | − | 0.570003i | −0.0329275 | − | 0.0190107i | ||||
\(900\) | −2.81523 | − | 50.5556i | −0.0938410 | − | 1.68519i | ||||
\(901\) | 21.4663i | 0.715147i | ||||||||
\(902\) | 22.3464 | − | 6.65906i | 0.744055 | − | 0.221722i | ||||
\(903\) | 0.374484 | − | 0.648625i | 0.0124620 | − | 0.0215849i | ||||
\(904\) | 9.65788 | + | 8.16706i | 0.321216 | + | 0.271632i | ||||
\(905\) | 2.64323i | 0.0878640i | ||||||||
\(906\) | −39.9286 | + | 11.8984i | −1.32654 | + | 0.395298i | ||||
\(907\) | 4.79850 | + | 8.31125i | 0.159332 | + | 0.275970i | 0.934628 | − | 0.355627i | \(-0.115733\pi\) |
−0.775296 | + | 0.631598i | \(0.782399\pi\) | |||||||
\(908\) | −38.4456 | − | 19.4310i | −1.27586 | − | 0.644841i | ||||
\(909\) | −23.1810 | − | 40.1507i | −0.768866 | − | 1.33172i | ||||
\(910\) | 0.901177 | − | 3.78088i | 0.0298737 | − | 0.125335i | ||||
\(911\) | 32.0224 | 1.06095 | 0.530475 | − | 0.847700i | \(-0.322014\pi\) | ||||
0.530475 | + | 0.847700i | \(0.322014\pi\) | |||||||
\(912\) | −16.7705 | − | 46.8458i | −0.555328 | − | 1.55122i | ||||
\(913\) | −24.3953 | −0.807368 | ||||||||
\(914\) | −6.20428 | + | 26.0300i | −0.205219 | + | 0.860997i | ||||
\(915\) | 1.26236 | + | 2.18647i | 0.0417323 | + | 0.0722824i | ||||
\(916\) | 21.4654 | + | 10.8489i | 0.709235 | + | 0.358458i | ||||
\(917\) | 3.06814 | + | 5.31417i | 0.101319 | + | 0.175489i | ||||
\(918\) | −36.2090 | + | 10.7900i | −1.19507 | + | 0.356122i | ||||
\(919\) | 28.2759i | 0.932737i | 0.884591 | + | 0.466368i | \(0.154438\pi\) | ||||
−0.884591 | + | 0.466368i | \(0.845562\pi\) | |||||||
\(920\) | 3.99286 | + | 3.37651i | 0.131641 | + | 0.111320i | ||||
\(921\) | −9.36878 | + | 16.2272i | −0.308712 | + | 0.534704i | ||||
\(922\) | 42.9630 | − | 12.8026i | 1.41491 | − | 0.421632i | ||||
\(923\) | 22.0550i | 0.725950i | ||||||||
\(924\) | 1.20284 | + | 21.6004i | 0.0395705 | + | 0.710602i | ||||
\(925\) | −20.2421 | − | 11.6868i | −0.665557 | − | 0.384259i | ||||
\(926\) | −29.8889 | − | 7.12405i | −0.982211 | − | 0.234111i | ||||
\(927\) | 39.9299 | − | 69.1607i | 1.31147 | − | 2.27154i | ||||
\(928\) | 4.50674 | + | 0.555899i | 0.147941 | + | 0.0182483i | ||||
\(929\) | 15.6232 | + | 27.0602i | 0.512581 | + | 0.887816i | 0.999894 | + | 0.0145884i | \(0.00464381\pi\) |
−0.487313 | + | 0.873227i | \(0.662023\pi\) | |||||||
\(930\) | 1.16573 | + | 1.10262i | 0.0382257 | + | 0.0361563i | ||||
\(931\) | −14.5517 | + | 13.7236i | −0.476912 | + | 0.449773i | ||||
\(932\) | −1.52439 | − | 27.3749i | −0.0499331 | − | 0.896694i | ||||
\(933\) | −20.5944 | + | 11.8902i | −0.674231 | + | 0.389268i | ||||
\(934\) | −53.1665 | − | 12.6723i | −1.73966 | − | 0.414650i | ||||
\(935\) | −2.58413 | − | 1.49195i | −0.0845100 | − | 0.0487919i | ||||
\(936\) | −16.3195 | + | 90.5270i | −0.533421 | + | 2.95897i | ||||
\(937\) | 6.24024 | − | 10.8084i | 0.203860 | − | 0.353096i | −0.745909 | − | 0.666048i | \(-0.767985\pi\) |
0.949769 | + | 0.312952i | \(0.101318\pi\) | |||||||
\(938\) | 3.03140 | − | 3.20490i | 0.0989788 | − | 0.104644i | ||||
\(939\) | 15.7723 | 0.514710 | ||||||||
\(940\) | −0.349489 | + | 0.691489i | −0.0113991 | + | 0.0225539i | ||||
\(941\) | 31.9421 | + | 18.4418i | 1.04128 | + | 0.601185i | 0.920196 | − | 0.391457i | \(-0.128029\pi\) |
0.121086 | + | 0.992642i | \(0.461362\pi\) | |||||||
\(942\) | −5.22579 | − | 4.94288i | −0.170265 | − | 0.161048i | ||||
\(943\) | −44.6060 | −1.45257 | ||||||||
\(944\) | −3.36768 | + | 7.69899i | −0.109609 | + | 0.250581i | ||||
\(945\) | 2.30346 | − | 1.32991i | 0.0749317 | − | 0.0432618i | ||||
\(946\) | −0.559166 | + | 0.166627i | −0.0181800 | + | 0.00541751i | ||||
\(947\) | 14.9451 | − | 8.62854i | 0.485650 | − | 0.280390i | −0.237118 | − | 0.971481i | \(-0.576203\pi\) |
0.722768 | + | 0.691091i | \(0.242870\pi\) | |||||||
\(948\) | 28.6608 | − | 18.7460i | 0.930859 | − | 0.608842i | ||||
\(949\) | 68.7668i | 2.23226i | ||||||||
\(950\) | 30.3389 | + | 0.0443849i | 0.984324 | + | 0.00144003i | ||||
\(951\) | − | 4.53427i | − | 0.147034i | ||||||
\(952\) | −3.40228 | + | 18.8730i | −0.110269 | + | 0.611677i | ||||
\(953\) | −27.9902 | + | 16.1602i | −0.906693 | + | 0.523480i | −0.879366 | − | 0.476147i | \(-0.842033\pi\) |
−0.0273274 | + | 0.999627i | \(0.508700\pi\) | |||||||
\(954\) | 10.2136 | + | 34.2749i | 0.330679 | + | 1.10969i | ||||
\(955\) | 0.503535 | − | 0.290716i | 0.0162940 | − | 0.00940734i | ||||
\(956\) | 17.0187 | − | 33.6726i | 0.550422 | − | 1.08905i | ||||
\(957\) | 5.59186 | 0.180759 | ||||||||
\(958\) | 37.8846 | − | 40.0529i | 1.22399 | − | 1.29405i | ||||
\(959\) | −21.9750 | − | 12.6873i | −0.709609 | − | 0.409693i | ||||
\(960\) | −5.98907 | − | 2.23186i | −0.193296 | − | 0.0720329i | ||||
\(961\) | −28.9831 | −0.934939 | ||||||||
\(962\) | 30.8490 | + | 29.1790i | 0.994612 | + | 0.940767i | ||||
\(963\) | 34.9753 | − | 60.5791i | 1.12706 | − | 1.95213i | ||||
\(964\) | −11.2013 | − | 17.1257i | −0.360771 | − | 0.551583i | ||||
\(965\) | 2.57088 | + | 1.48430i | 0.0827595 | + | 0.0477812i | ||||
\(966\) | 9.59543 | − | 40.2575i | 0.308728 | − | 1.29527i | ||||
\(967\) | −9.08239 | + | 5.24372i | −0.292070 | + | 0.168627i | −0.638875 | − | 0.769311i | \(-0.720600\pi\) |
0.346805 | + | 0.937937i | \(0.387267\pi\) | |||||||
\(968\) | −9.20744 | + | 10.8882i | −0.295938 | + | 0.349959i | ||||
\(969\) | −12.5160 | − | 52.8536i | −0.402072 | − | 1.69790i | ||||
\(970\) | 0.557691 | − | 0.589610i | 0.0179064 | − | 0.0189313i | ||||
\(971\) | 6.12329 | + | 10.6058i | 0.196506 | + | 0.340358i | 0.947393 | − | 0.320072i | \(-0.103707\pi\) |
−0.750887 | + | 0.660430i | \(0.770374\pi\) | |||||||
\(972\) | 21.0320 | − | 13.7563i | 0.674601 | − | 0.441233i | ||||
\(973\) | −0.384753 | + | 0.666413i | −0.0123346 | + | 0.0213642i | ||||
\(974\) | 6.83458 | − | 28.6744i | 0.218994 | − | 0.918788i | ||||
\(975\) | −76.9013 | − | 44.3990i | −2.46281 | − | 1.42191i | ||||
\(976\) | −12.5624 | + | 1.40345i | −0.402113 | + | 0.0449232i | ||||
\(977\) | − | 44.7188i | − | 1.43068i | −0.698776 | − | 0.715341i | \(-0.746272\pi\) | ||
0.698776 | − | 0.715341i | \(-0.253728\pi\) | |||||||
\(978\) | −4.61155 | − | 15.4754i | −0.147461 | − | 0.494849i | ||||
\(979\) | 10.9467 | − | 18.9602i | 0.349857 | − | 0.605970i | ||||
\(980\) | 0.142853 | + | 2.56535i | 0.00456328 | + | 0.0819470i | ||||
\(981\) | − | 55.3301i | − | 1.76655i | ||||||
\(982\) | 15.4086 | + | 51.7080i | 0.491707 | + | 1.65007i | ||||
\(983\) | −15.7300 | − | 27.2452i | −0.501710 | − | 0.868987i | −0.999998 | − | 0.00197527i | \(-0.999371\pi\) |
0.498288 | − | 0.867011i | \(-0.333962\pi\) | |||||||
\(984\) | 51.3036 | − | 18.4511i | 1.63550 | − | 0.588200i | ||||
\(985\) | 2.53057 | + | 4.38307i | 0.0806306 | + | 0.139656i | ||||
\(986\) | 4.82179 | + | 1.14928i | 0.153557 | + | 0.0366005i | ||||
\(987\) | 6.13199 | 0.195183 | ||||||||
\(988\) | −53.5958 | − | 12.8575i | −1.70511 | − | 0.409052i | ||||
\(989\) | 1.11616 | 0.0354917 | ||||||||
\(990\) | −4.83590 | − | 1.15264i | −0.153695 | − | 0.0366333i | ||||
\(991\) | −5.19636 | − | 9.00036i | −0.165068 | − | 0.285906i | 0.771612 | − | 0.636094i | \(-0.219451\pi\) |
−0.936679 | + | 0.350188i | \(0.886118\pi\) | |||||||
\(992\) | −7.39681 | + | 3.13491i | −0.234849 | + | 0.0995335i | ||||
\(993\) | 8.58090 | + | 14.8626i | 0.272307 | + | 0.471649i | ||||
\(994\) | 2.18773 | + | 7.34156i | 0.0693904 | + | 0.232860i | ||||
\(995\) | − | 1.60742i | − | 0.0509587i | ||||||
\(996\) | −56.9526 | + | 3.17145i | −1.80461 | + | 0.100491i | ||||
\(997\) | 16.1194 | − | 27.9197i | 0.510507 | − | 0.884225i | −0.489418 | − | 0.872049i | \(-0.662791\pi\) |
0.999926 | − | 0.0121757i | \(-0.00387576\pi\) | |||||||
\(998\) | 8.36091 | + | 28.0575i | 0.264660 | + | 0.888145i | ||||
\(999\) | 29.0580i | 0.919355i |
(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 | 76.2.f.a.31.6 | yes | 16 | |
3.2 | odd | 2 | 684.2.r.a.487.3 | 16 | |||
4.3 | odd | 2 | inner | 76.2.f.a.31.8 | yes | 16 | |
8.3 | odd | 2 | 1216.2.n.f.639.8 | 16 | |||
8.5 | even | 2 | 1216.2.n.f.639.1 | 16 | |||
12.11 | even | 2 | 684.2.r.a.487.1 | 16 | |||
19.8 | odd | 6 | inner | 76.2.f.a.27.8 | yes | 16 | |
57.8 | even | 6 | 684.2.r.a.559.1 | 16 | |||
76.27 | even | 6 | inner | 76.2.f.a.27.6 | ✓ | 16 | |
152.27 | even | 6 | 1216.2.n.f.255.1 | 16 | |||
152.141 | odd | 6 | 1216.2.n.f.255.8 | 16 | |||
228.179 | odd | 6 | 684.2.r.a.559.3 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.f.a.27.6 | ✓ | 16 | 76.27 | even | 6 | inner | |
76.2.f.a.27.8 | yes | 16 | 19.8 | odd | 6 | inner | |
76.2.f.a.31.6 | yes | 16 | 1.1 | even | 1 | trivial | |
76.2.f.a.31.8 | yes | 16 | 4.3 | odd | 2 | inner | |
684.2.r.a.487.1 | 16 | 12.11 | even | 2 | |||
684.2.r.a.487.3 | 16 | 3.2 | odd | 2 | |||
684.2.r.a.559.1 | 16 | 57.8 | even | 6 | |||
684.2.r.a.559.3 | 16 | 228.179 | odd | 6 | |||
1216.2.n.f.255.1 | 16 | 152.27 | even | 6 | |||
1216.2.n.f.255.8 | 16 | 152.141 | odd | 6 | |||
1216.2.n.f.639.1 | 16 | 8.5 | even | 2 | |||
1216.2.n.f.639.8 | 16 | 8.3 | odd | 2 |