Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(311,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.311");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bg (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 311.4 | ||
Character | \(\chi\) | \(=\) | 546.311 |
Dual form | 546.2.bg.a.467.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | −1.34147 | + | 1.09565i | −0.774499 | + | 0.632575i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −2.44950 | + | 1.41422i | −1.09545 | + | 0.632458i | −0.935022 | − | 0.354590i | \(-0.884620\pi\) |
−0.160427 | + | 0.987048i | \(0.551287\pi\) | |||||||
\(6\) | 1.61960 | + | 0.613923i | 0.661198 | + | 0.250633i | ||||
\(7\) | −2.60728 | + | 0.449563i | −0.985458 | + | 0.169919i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0.599095 | − | 2.93957i | 0.199698 | − | 0.979857i | ||||
\(10\) | 2.44950 | + | 1.41422i | 0.774599 | + | 0.447215i | ||||
\(11\) | −2.97657 | + | 5.15557i | −0.897470 | + | 1.55446i | −0.0667525 | + | 0.997770i | \(0.521264\pi\) |
−0.830718 | + | 0.556694i | \(0.812070\pi\) | |||||||
\(12\) | −0.278126 | − | 1.70957i | −0.0802881 | − | 0.493512i | ||||
\(13\) | 3.07921 | − | 1.87576i | 0.854019 | − | 0.520241i | ||||
\(14\) | 1.69297 | + | 2.03319i | 0.452466 | + | 0.543392i | ||||
\(15\) | 1.73644 | − | 4.58093i | 0.448348 | − | 1.18279i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 2.83737 | − | 4.91448i | 0.688164 | − | 1.19194i | −0.284267 | − | 0.958745i | \(-0.591750\pi\) |
0.972431 | − | 0.233190i | \(-0.0749165\pi\) | |||||||
\(18\) | −2.84529 | + | 0.950954i | −0.670642 | + | 0.224142i | ||||
\(19\) | −0.972964 | − | 1.68522i | −0.223213 | − | 0.386617i | 0.732569 | − | 0.680693i | \(-0.238321\pi\) |
−0.955782 | + | 0.294077i | \(0.904988\pi\) | |||||||
\(20\) | − | 2.82844i | − | 0.632458i | ||||||
\(21\) | 3.00503 | − | 3.45974i | 0.655750 | − | 0.754978i | ||||
\(22\) | 5.95314 | 1.26921 | ||||||||
\(23\) | −2.43857 | + | 1.40791i | −0.508476 | + | 0.293569i | −0.732207 | − | 0.681082i | \(-0.761510\pi\) |
0.223731 | + | 0.974651i | \(0.428176\pi\) | |||||||
\(24\) | −1.34147 | + | 1.09565i | −0.273827 | + | 0.223649i | ||||
\(25\) | 1.50002 | − | 2.59812i | 0.300005 | − | 0.519624i | ||||
\(26\) | −3.16406 | − | 1.72880i | −0.620523 | − | 0.339045i | ||||
\(27\) | 2.41708 | + | 4.59975i | 0.465167 | + | 0.885223i | ||||
\(28\) | 0.914306 | − | 2.48275i | 0.172788 | − | 0.469196i | ||||
\(29\) | − | 0.0658578i | − | 0.0122295i | −0.999981 | − | 0.00611474i | \(-0.998054\pi\) | ||
0.999981 | − | 0.00611474i | \(-0.00194640\pi\) | |||||||
\(30\) | −4.83542 | + | 0.786662i | −0.882823 | + | 0.143624i | ||||
\(31\) | 4.39516 | − | 7.61265i | 0.789395 | − | 1.36727i | −0.136944 | − | 0.990579i | \(-0.543728\pi\) |
0.926338 | − | 0.376693i | \(-0.122939\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −1.65572 | − | 10.1773i | −0.288225 | − | 1.77165i | ||||
\(34\) | −5.67475 | −0.973211 | ||||||||
\(35\) | 5.75074 | − | 4.78846i | 0.972052 | − | 0.809398i | ||||
\(36\) | 2.24620 | + | 1.98862i | 0.374366 | + | 0.331436i | ||||
\(37\) | 0.160796 | − | 0.0928358i | 0.0264348 | − | 0.0152621i | −0.486724 | − | 0.873556i | \(-0.661808\pi\) |
0.513159 | + | 0.858293i | \(0.328475\pi\) | |||||||
\(38\) | −0.972964 | + | 1.68522i | −0.157836 | + | 0.273379i | ||||
\(39\) | −2.07550 | + | 5.89002i | −0.332346 | + | 0.943158i | ||||
\(40\) | −2.44950 | + | 1.41422i | −0.387300 | + | 0.223607i | ||||
\(41\) | − | 4.04876i | − | 0.632310i | −0.948707 | − | 0.316155i | \(-0.897608\pi\) | ||
0.948707 | − | 0.316155i | \(-0.102392\pi\) | |||||||
\(42\) | −4.49874 | − | 0.872557i | −0.694170 | − | 0.134638i | ||||
\(43\) | 3.48177 | 0.530965 | 0.265483 | − | 0.964116i | \(-0.414469\pi\) | ||||
0.265483 | + | 0.964116i | \(0.414469\pi\) | |||||||
\(44\) | −2.97657 | − | 5.15557i | −0.448735 | − | 0.777232i | ||||
\(45\) | 2.68971 | + | 8.04773i | 0.400959 | + | 1.19968i | ||||
\(46\) | 2.43857 | + | 1.40791i | 0.359547 | + | 0.207585i | ||||
\(47\) | 6.77981 | − | 3.91432i | 0.988937 | − | 0.570963i | 0.0839804 | − | 0.996467i | \(-0.473237\pi\) |
0.904956 | + | 0.425505i | \(0.139903\pi\) | |||||||
\(48\) | 1.61960 | + | 0.613923i | 0.233769 | + | 0.0886122i | ||||
\(49\) | 6.59579 | − | 2.34427i | 0.942255 | − | 0.334896i | ||||
\(50\) | −3.00005 | −0.424271 | ||||||||
\(51\) | 1.57830 | + | 9.70141i | 0.221006 | + | 1.35847i | ||||
\(52\) | 0.0848486 | + | 3.60455i | 0.0117664 | + | 0.499862i | ||||
\(53\) | −3.77930 | − | 2.18198i | −0.519127 | − | 0.299718i | 0.217450 | − | 0.976071i | \(-0.430226\pi\) |
−0.736578 | + | 0.676353i | \(0.763559\pi\) | |||||||
\(54\) | 2.77497 | − | 4.39313i | 0.377625 | − | 0.597829i | ||||
\(55\) | − | 16.8381i | − | 2.27045i | ||||||
\(56\) | −2.60728 | + | 0.449563i | −0.348412 | + | 0.0600753i | ||||
\(57\) | 3.15162 | + | 1.19465i | 0.417442 | + | 0.158235i | ||||
\(58\) | −0.0570345 | + | 0.0329289i | −0.00748900 | + | 0.00432378i | ||||
\(59\) | −11.6234 | − | 6.71079i | −1.51324 | − | 0.873670i | −0.999880 | − | 0.0154976i | \(-0.995067\pi\) |
−0.513361 | − | 0.858173i | \(-0.671600\pi\) | |||||||
\(60\) | 3.09898 | + | 3.79427i | 0.400077 | + | 0.489838i | ||||
\(61\) | −12.8084 | + | 7.39493i | −1.63995 | + | 0.946823i | −0.659096 | + | 0.752059i | \(0.729061\pi\) |
−0.980850 | + | 0.194765i | \(0.937606\pi\) | |||||||
\(62\) | −8.79033 | −1.11637 | ||||||||
\(63\) | −0.240485 | + | 7.93361i | −0.0302983 | + | 0.999541i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −4.88979 | + | 8.94934i | −0.606503 | + | 1.11003i | ||||
\(66\) | −7.98598 | + | 6.52257i | −0.983006 | + | 0.802873i | ||||
\(67\) | 0.912896 | + | 0.527061i | 0.111528 | + | 0.0643907i | 0.554726 | − | 0.832033i | \(-0.312823\pi\) |
−0.443198 | + | 0.896424i | \(0.646156\pi\) | |||||||
\(68\) | 2.83737 | + | 4.91448i | 0.344082 | + | 0.595968i | ||||
\(69\) | 1.72869 | − | 4.56049i | 0.208110 | − | 0.549018i | ||||
\(70\) | −7.02230 | − | 2.58606i | −0.839325 | − | 0.309093i | ||||
\(71\) | −6.16979 | −0.732220 | −0.366110 | − | 0.930572i | \(-0.619311\pi\) | ||||
−0.366110 | + | 0.930572i | \(0.619311\pi\) | |||||||
\(72\) | 0.599095 | − | 2.93957i | 0.0706040 | − | 0.346432i | ||||
\(73\) | −0.140240 | + | 0.242904i | −0.0164139 | + | 0.0284297i | −0.874116 | − | 0.485718i | \(-0.838558\pi\) |
0.857702 | + | 0.514147i | \(0.171892\pi\) | |||||||
\(74\) | −0.160796 | − | 0.0928358i | −0.0186922 | − | 0.0107919i | ||||
\(75\) | 0.834392 | + | 5.12881i | 0.0963473 | + | 0.592224i | ||||
\(76\) | 1.94593 | 0.223213 | ||||||||
\(77\) | 5.44299 | − | 14.7802i | 0.620287 | − | 1.68436i | ||||
\(78\) | 6.13865 | − | 1.14757i | 0.695066 | − | 0.129937i | ||||
\(79\) | 4.18074 | + | 7.24125i | 0.470370 | + | 0.814704i | 0.999426 | − | 0.0338825i | \(-0.0107872\pi\) |
−0.529056 | + | 0.848587i | \(0.677454\pi\) | |||||||
\(80\) | 2.44950 | + | 1.41422i | 0.273862 | + | 0.158114i | ||||
\(81\) | −8.28217 | − | 3.52217i | −0.920241 | − | 0.391352i | ||||
\(82\) | −3.50633 | + | 2.02438i | −0.387209 | + | 0.223556i | ||||
\(83\) | 0.940520i | 0.103235i | 0.998667 | + | 0.0516177i | \(0.0164377\pi\) | ||||
−0.998667 | + | 0.0516177i | \(0.983562\pi\) | |||||||
\(84\) | 1.49371 | + | 4.33230i | 0.162977 | + | 0.472693i | ||||
\(85\) | 16.0507i | 1.74094i | ||||||||
\(86\) | −1.74089 | − | 3.01530i | −0.187725 | − | 0.325149i | ||||
\(87\) | 0.0721572 | + | 0.0883464i | 0.00773606 | + | 0.00947173i | ||||
\(88\) | −2.97657 | + | 5.15557i | −0.317304 | + | 0.549586i | ||||
\(89\) | 4.61927 | − | 2.66694i | 0.489642 | − | 0.282695i | −0.234784 | − | 0.972048i | \(-0.575438\pi\) |
0.724426 | + | 0.689353i | \(0.242105\pi\) | |||||||
\(90\) | 5.62468 | − | 6.35322i | 0.592893 | − | 0.669689i | ||||
\(91\) | −7.18508 | + | 6.27492i | −0.753201 | + | 0.657790i | ||||
\(92\) | − | 2.81581i | − | 0.293569i | ||||||
\(93\) | 2.44482 | + | 15.0277i | 0.253516 | + | 1.55830i | ||||
\(94\) | −6.77981 | − | 3.91432i | −0.699284 | − | 0.403732i | ||||
\(95\) | 4.76654 | + | 2.75197i | 0.489037 | + | 0.282346i | ||||
\(96\) | −0.278126 | − | 1.70957i | −0.0283861 | − | 0.174483i | ||||
\(97\) | 9.60289 | 0.975026 | 0.487513 | − | 0.873116i | \(-0.337904\pi\) | ||||
0.487513 | + | 0.873116i | \(0.337904\pi\) | |||||||
\(98\) | −5.32809 | − | 4.53998i | −0.538218 | − | 0.458608i | ||||
\(99\) | 13.3719 | + | 11.8385i | 1.34393 | + | 1.18982i | ||||
\(100\) | 1.50002 | + | 2.59812i | 0.150002 | + | 0.259812i | ||||
\(101\) | 3.31762 | − | 5.74628i | 0.330115 | − | 0.571777i | −0.652419 | − | 0.757859i | \(-0.726246\pi\) |
0.982534 | + | 0.186082i | \(0.0595790\pi\) | |||||||
\(102\) | 7.61252 | − | 6.21755i | 0.753752 | − | 0.615629i | ||||
\(103\) | −6.33025 | + | 3.65477i | −0.623738 | + | 0.360115i | −0.778323 | − | 0.627864i | \(-0.783929\pi\) |
0.154585 | + | 0.987980i | \(0.450596\pi\) | |||||||
\(104\) | 3.07921 | − | 1.87576i | 0.301941 | − | 0.183933i | ||||
\(105\) | −2.46797 | + | 12.7244i | −0.240849 | + | 1.24177i | ||||
\(106\) | 4.36396i | 0.423866i | ||||||||
\(107\) | 14.1105 | − | 8.14672i | 1.36412 | − | 0.787573i | 0.373947 | − | 0.927450i | \(-0.378004\pi\) |
0.990169 | + | 0.139877i | \(0.0446707\pi\) | |||||||
\(108\) | −5.19204 | − | 0.206627i | −0.499605 | − | 0.0198826i | ||||
\(109\) | 1.45673 | + | 0.841043i | 0.139529 | + | 0.0805573i | 0.568140 | − | 0.822932i | \(-0.307663\pi\) |
−0.428610 | + | 0.903489i | \(0.640997\pi\) | |||||||
\(110\) | −14.5822 | + | 8.41904i | −1.39036 | + | 0.802724i | ||||
\(111\) | −0.113988 | + | 0.300714i | −0.0108193 | + | 0.0285425i | ||||
\(112\) | 1.69297 | + | 2.03319i | 0.159971 | + | 0.192118i | ||||
\(113\) | − | 8.45921i | − | 0.795775i | −0.917434 | − | 0.397888i | \(-0.869743\pi\) | ||
0.917434 | − | 0.397888i | \(-0.130257\pi\) | |||||||
\(114\) | −0.541213 | − | 3.32671i | −0.0506893 | − | 0.311575i | ||||
\(115\) | 3.98217 | − | 6.89733i | 0.371340 | − | 0.643179i | ||||
\(116\) | 0.0570345 | + | 0.0329289i | 0.00529552 | + | 0.00305737i | ||||
\(117\) | −3.66918 | − | 10.1753i | −0.339216 | − | 0.940708i | ||||
\(118\) | 13.4216i | 1.23556i | ||||||||
\(119\) | −5.18846 | + | 14.0890i | −0.475625 | + | 1.29153i | ||||
\(120\) | 1.73644 | − | 4.58093i | 0.158515 | − | 0.418180i | ||||
\(121\) | −12.2200 | − | 21.1656i | −1.11091 | − | 1.92414i | ||||
\(122\) | 12.8084 | + | 7.39493i | 1.15962 | + | 0.669505i | ||||
\(123\) | 4.43603 | + | 5.43130i | 0.399984 | + | 0.489724i | ||||
\(124\) | 4.39516 | + | 7.61265i | 0.394697 | + | 0.683636i | ||||
\(125\) | − | 5.65673i | − | 0.505953i | ||||||
\(126\) | 6.99095 | − | 3.75854i | 0.622803 | − | 0.334837i | ||||
\(127\) | 0.564130 | 0.0500584 | 0.0250292 | − | 0.999687i | \(-0.492032\pi\) | ||||
0.0250292 | + | 0.999687i | \(0.492032\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −4.67070 | + | 3.81481i | −0.411232 | + | 0.335875i | ||||
\(130\) | 10.1952 | − | 0.239989i | 0.894182 | − | 0.0210484i | ||||
\(131\) | 8.86611 | + | 15.3566i | 0.774636 | + | 1.34171i | 0.934999 | + | 0.354651i | \(0.115400\pi\) |
−0.160363 | + | 0.987058i | \(0.551267\pi\) | |||||||
\(132\) | 9.64170 | + | 3.65477i | 0.839202 | + | 0.318107i | ||||
\(133\) | 3.29440 | + | 3.95643i | 0.285661 | + | 0.343066i | ||||
\(134\) | − | 1.05412i | − | 0.0910622i | ||||||
\(135\) | −12.4257 | − | 7.84881i | −1.06943 | − | 0.675518i | ||||
\(136\) | 2.83737 | − | 4.91448i | 0.243303 | − | 0.421413i | ||||
\(137\) | −2.86927 | + | 4.96972i | −0.245138 | + | 0.424592i | −0.962170 | − | 0.272448i | \(-0.912167\pi\) |
0.717032 | + | 0.697040i | \(0.245500\pi\) | |||||||
\(138\) | −4.81384 | + | 0.783151i | −0.409782 | + | 0.0666662i | ||||
\(139\) | − | 8.16905i | − | 0.692890i | −0.938070 | − | 0.346445i | \(-0.887389\pi\) | ||
0.938070 | − | 0.346445i | \(-0.112611\pi\) | |||||||
\(140\) | 1.27156 | + | 7.37452i | 0.107466 | + | 0.623260i | ||||
\(141\) | −4.80619 | + | 12.6793i | −0.404754 | + | 1.06779i | ||||
\(142\) | 3.08490 | + | 5.34320i | 0.258879 | + | 0.448391i | ||||
\(143\) | 0.505116 | + | 21.4584i | 0.0422399 | + | 1.79444i | ||||
\(144\) | −2.84529 | + | 0.950954i | −0.237108 | + | 0.0792462i | ||||
\(145\) | 0.0931373 | + | 0.161318i | 0.00773463 | + | 0.0133968i | ||||
\(146\) | 0.280481 | 0.0232128 | ||||||||
\(147\) | −6.27956 | + | 10.3715i | −0.517930 | + | 0.855423i | ||||
\(148\) | 0.185672i | 0.0152621i | ||||||||
\(149\) | −7.77314 | − | 13.4635i | −0.636801 | − | 1.10297i | −0.986131 | − | 0.165971i | \(-0.946924\pi\) |
0.349330 | − | 0.937000i | \(-0.386409\pi\) | |||||||
\(150\) | 4.02448 | − | 3.28701i | 0.328598 | − | 0.268383i | ||||
\(151\) | −18.1605 | − | 10.4850i | −1.47788 | − | 0.853256i | −0.478196 | − | 0.878253i | \(-0.658709\pi\) |
−0.999688 | + | 0.0249970i | \(0.992042\pi\) | |||||||
\(152\) | −0.972964 | − | 1.68522i | −0.0789178 | − | 0.136690i | ||||
\(153\) | −12.7466 | − | 11.2849i | −1.03050 | − | 0.912331i | ||||
\(154\) | −15.5215 | + | 2.67631i | −1.25076 | + | 0.215663i | ||||
\(155\) | 24.8629i | 1.99703i | ||||||||
\(156\) | −4.06316 | − | 4.74244i | −0.325313 | − | 0.379699i | ||||
\(157\) | 12.5843 | + | 7.26555i | 1.00434 | + | 0.579854i | 0.909528 | − | 0.415642i | \(-0.136443\pi\) |
0.0948076 | + | 0.995496i | \(0.469776\pi\) | |||||||
\(158\) | 4.18074 | − | 7.24125i | 0.332602 | − | 0.576083i | ||||
\(159\) | 7.46052 | − | 1.21373i | 0.591658 | − | 0.0962552i | ||||
\(160\) | − | 2.82844i | − | 0.223607i | ||||||
\(161\) | 5.72508 | − | 4.76709i | 0.451199 | − | 0.375699i | ||||
\(162\) | 1.09080 | + | 8.93365i | 0.0857012 | + | 0.701894i | ||||
\(163\) | −1.09419 | + | 0.631733i | −0.0857039 | + | 0.0494812i | −0.542239 | − | 0.840224i | \(-0.682423\pi\) |
0.456536 | + | 0.889705i | \(0.349090\pi\) | |||||||
\(164\) | 3.50633 | + | 2.02438i | 0.273798 | + | 0.158078i | ||||
\(165\) | 18.4487 | + | 22.5878i | 1.43623 | + | 1.75846i | ||||
\(166\) | 0.814514 | − | 0.470260i | 0.0632185 | − | 0.0364992i | ||||
\(167\) | − | 14.8995i | − | 1.15296i | −0.817111 | − | 0.576480i | \(-0.804426\pi\) | ||
0.817111 | − | 0.576480i | \(-0.195574\pi\) | |||||||
\(168\) | 3.00503 | − | 3.45974i | 0.231843 | − | 0.266925i | ||||
\(169\) | 5.96307 | − | 11.5517i | 0.458698 | − | 0.888592i | ||||
\(170\) | 13.9003 | − | 8.02533i | 1.06610 | − | 0.615515i | ||||
\(171\) | −5.53673 | + | 1.85049i | −0.423404 | + | 0.141510i | ||||
\(172\) | −1.74089 | + | 3.01530i | −0.132741 | + | 0.229915i | ||||
\(173\) | −5.85736 | − | 10.1453i | −0.445327 | − | 0.771329i | 0.552748 | − | 0.833349i | \(-0.313579\pi\) |
−0.998075 | + | 0.0620193i | \(0.980246\pi\) | |||||||
\(174\) | 0.0404316 | − | 0.106663i | 0.00306511 | − | 0.00808611i | ||||
\(175\) | −2.74296 | + | 7.44837i | −0.207349 | + | 0.563044i | ||||
\(176\) | 5.95314 | 0.448735 | ||||||||
\(177\) | 22.9452 | − | 3.73289i | 1.72467 | − | 0.280581i | ||||
\(178\) | −4.61927 | − | 2.66694i | −0.346229 | − | 0.199895i | ||||
\(179\) | −4.54314 | − | 2.62298i | −0.339570 | − | 0.196051i | 0.320512 | − | 0.947245i | \(-0.396145\pi\) |
−0.660082 | + | 0.751194i | \(0.729478\pi\) | |||||||
\(180\) | −8.31439 | − | 1.69450i | −0.619718 | − | 0.126301i | ||||
\(181\) | 3.34763i | 0.248827i | 0.992230 | + | 0.124414i | \(0.0397049\pi\) | ||||
−0.992230 | + | 0.124414i | \(0.960295\pi\) | |||||||
\(182\) | 9.02678 | + | 3.08501i | 0.669109 | + | 0.228676i | ||||
\(183\) | 9.07983 | − | 23.9536i | 0.671201 | − | 1.77070i | ||||
\(184\) | −2.43857 | + | 1.40791i | −0.179773 | + | 0.103792i | ||||
\(185\) | −0.262580 | + | 0.454802i | −0.0193053 | + | 0.0334377i | ||||
\(186\) | 11.7920 | − | 9.63114i | 0.864630 | − | 0.706189i | ||||
\(187\) | 16.8913 | + | 29.2566i | 1.23521 | + | 2.13945i | ||||
\(188\) | 7.82865i | 0.570963i | ||||||||
\(189\) | −8.36987 | − | 10.9062i | −0.608818 | − | 0.793310i | ||||
\(190\) | − | 5.50393i | − | 0.399297i | ||||||
\(191\) | −12.5958 | + | 7.27218i | −0.911399 | + | 0.526196i | −0.880881 | − | 0.473338i | \(-0.843049\pi\) |
−0.0305177 | + | 0.999534i | \(0.509716\pi\) | |||||||
\(192\) | −1.34147 | + | 1.09565i | −0.0968124 | + | 0.0790718i | ||||
\(193\) | −3.56744 | − | 2.05966i | −0.256790 | − | 0.148258i | 0.366079 | − | 0.930584i | \(-0.380700\pi\) |
−0.622869 | + | 0.782326i | \(0.714033\pi\) | |||||||
\(194\) | −4.80144 | − | 8.31634i | −0.344724 | − | 0.597079i | ||||
\(195\) | −3.24584 | − | 17.3628i | −0.232440 | − | 1.24338i | ||||
\(196\) | −1.26770 | + | 6.88425i | −0.0905498 | + | 0.491732i | ||||
\(197\) | −4.31746 | −0.307606 | −0.153803 | − | 0.988102i | \(-0.549152\pi\) | ||||
−0.153803 | + | 0.988102i | \(0.549152\pi\) | |||||||
\(198\) | 3.56650 | − | 17.4997i | 0.253460 | − | 1.24365i | ||||
\(199\) | −17.9961 | − | 10.3900i | −1.27571 | − | 0.736530i | −0.299651 | − | 0.954049i | \(-0.596870\pi\) |
−0.976056 | + | 0.217519i | \(0.930204\pi\) | |||||||
\(200\) | 1.50002 | − | 2.59812i | 0.106068 | − | 0.183715i | ||||
\(201\) | −1.80210 | + | 0.293179i | −0.127110 | + | 0.0206792i | ||||
\(202\) | −6.63524 | −0.466854 | ||||||||
\(203\) | 0.0296072 | + | 0.171710i | 0.00207802 | + | 0.0120516i | ||||
\(204\) | −9.19081 | − | 3.48386i | −0.643486 | − | 0.243919i | ||||
\(205\) | 5.72583 | + | 9.91743i | 0.399909 | + | 0.692664i | ||||
\(206\) | 6.33025 | + | 3.65477i | 0.441050 | + | 0.254640i | ||||
\(207\) | 2.67771 | + | 8.01181i | 0.186114 | + | 0.556859i | ||||
\(208\) | −3.16406 | − | 1.72880i | −0.219388 | − | 0.119870i | ||||
\(209\) | 11.5844 | 0.801309 | ||||||||
\(210\) | 12.2536 | − | 4.22487i | 0.845581 | − | 0.291544i | ||||
\(211\) | 7.95214 | 0.547448 | 0.273724 | − | 0.961808i | \(-0.411745\pi\) | ||||
0.273724 | + | 0.961808i | \(0.411745\pi\) | |||||||
\(212\) | 3.77930 | − | 2.18198i | 0.259564 | − | 0.149859i | ||||
\(213\) | 8.27661 | − | 6.75994i | 0.567104 | − | 0.463184i | ||||
\(214\) | −14.1105 | − | 8.14672i | −0.964576 | − | 0.556898i | ||||
\(215\) | −8.52859 | + | 4.92399i | −0.581645 | + | 0.335813i | ||||
\(216\) | 2.41708 | + | 4.59975i | 0.164461 | + | 0.312974i | ||||
\(217\) | −8.03705 | + | 21.8242i | −0.545590 | + | 1.48152i | ||||
\(218\) | − | 1.68209i | − | 0.113925i | ||||||
\(219\) | −0.0780090 | − | 0.479503i | −0.00527136 | − | 0.0324018i | ||||
\(220\) | 14.5822 | + | 8.41904i | 0.983132 | + | 0.567612i | ||||
\(221\) | −0.481494 | − | 20.4549i | −0.0323888 | − | 1.37595i | ||||
\(222\) | 0.317420 | − | 0.0516401i | 0.0213038 | − | 0.00346586i | ||||
\(223\) | 7.45226 | 0.499040 | 0.249520 | − | 0.968370i | \(-0.419727\pi\) | ||||
0.249520 | + | 0.968370i | \(0.419727\pi\) | |||||||
\(224\) | 0.914306 | − | 2.48275i | 0.0610896 | − | 0.165886i | ||||
\(225\) | −6.73870 | − | 5.96595i | −0.449247 | − | 0.397730i | ||||
\(226\) | −7.32589 | + | 4.22960i | −0.487311 | + | 0.281349i | ||||
\(227\) | 2.98035 | + | 1.72071i | 0.197813 | + | 0.114207i | 0.595635 | − | 0.803255i | \(-0.296901\pi\) |
−0.397822 | + | 0.917463i | \(0.630234\pi\) | |||||||
\(228\) | −2.61041 | + | 2.13206i | −0.172878 | + | 0.141199i | ||||
\(229\) | −11.6436 | − | 20.1673i | −0.769429 | − | 1.33269i | −0.937873 | − | 0.346979i | \(-0.887208\pi\) |
0.168444 | − | 0.985711i | \(-0.446126\pi\) | |||||||
\(230\) | −7.96435 | −0.525154 | ||||||||
\(231\) | 8.89228 | + | 25.7908i | 0.585069 | + | 1.69691i | ||||
\(232\) | − | 0.0658578i | − | 0.00432378i | ||||||
\(233\) | −11.5261 | + | 6.65459i | −0.755099 | + | 0.435957i | −0.827533 | − | 0.561417i | \(-0.810257\pi\) |
0.0724345 | + | 0.997373i | \(0.476923\pi\) | |||||||
\(234\) | −6.97749 | + | 8.26527i | −0.456133 | + | 0.540317i | ||||
\(235\) | −11.0714 | + | 19.1763i | −0.722219 | + | 1.25092i | ||||
\(236\) | 11.6234 | − | 6.71079i | 0.756621 | − | 0.436835i | ||||
\(237\) | −13.5422 | − | 5.13330i | −0.879663 | − | 0.333444i | ||||
\(238\) | 14.7956 | − | 2.55116i | 0.959059 | − | 0.165367i | ||||
\(239\) | 0.340722 | 0.0220395 | 0.0110197 | − | 0.999939i | \(-0.496492\pi\) | ||||
0.0110197 | + | 0.999939i | \(0.496492\pi\) | |||||||
\(240\) | −4.83542 | + | 0.786662i | −0.312125 | + | 0.0507788i | ||||
\(241\) | −2.07800 | + | 3.59921i | −0.133856 | + | 0.231845i | −0.925160 | − | 0.379578i | \(-0.876069\pi\) |
0.791304 | + | 0.611423i | \(0.209403\pi\) | |||||||
\(242\) | −12.2200 | + | 21.1656i | −0.785528 | + | 1.36058i | ||||
\(243\) | 14.9694 | − | 4.34948i | 0.960285 | − | 0.279019i | ||||
\(244\) | − | 14.7899i | − | 0.946823i | ||||||
\(245\) | −12.8411 | + | 15.0702i | −0.820385 | + | 0.962797i | ||||
\(246\) | 2.48563 | − | 6.55737i | 0.158478 | − | 0.418083i | ||||
\(247\) | −6.15703 | − | 3.36411i | −0.391762 | − | 0.214053i | ||||
\(248\) | 4.39516 | − | 7.61265i | 0.279093 | − | 0.483404i | ||||
\(249\) | −1.03048 | − | 1.26168i | −0.0653041 | − | 0.0799558i | ||||
\(250\) | −4.89887 | + | 2.82837i | −0.309832 | + | 0.178882i | ||||
\(251\) | −24.1872 | −1.52668 | −0.763341 | − | 0.645995i | \(-0.776443\pi\) | ||||
−0.763341 | + | 0.645995i | \(0.776443\pi\) | |||||||
\(252\) | −6.75047 | − | 4.17507i | −0.425239 | − | 0.263005i | ||||
\(253\) | − | 16.7629i | − | 1.05388i | ||||||
\(254\) | −0.282065 | − | 0.488551i | −0.0176983 | − | 0.0306544i | ||||
\(255\) | −17.5859 | − | 21.5315i | −1.10127 | − | 1.34836i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 5.25640 | + | 9.10435i | 0.327885 | + | 0.567914i | 0.982092 | − | 0.188402i | \(-0.0603308\pi\) |
−0.654207 | + | 0.756316i | \(0.726997\pi\) | |||||||
\(258\) | 5.63907 | + | 2.13754i | 0.351073 | + | 0.133077i | ||||
\(259\) | −0.377505 | + | 0.314337i | −0.0234570 | + | 0.0195319i | ||||
\(260\) | −5.30546 | − | 8.70935i | −0.329031 | − | 0.540131i | ||||
\(261\) | −0.193594 | − | 0.0394551i | −0.0119832 | − | 0.00244221i | ||||
\(262\) | 8.86611 | − | 15.3566i | 0.547750 | − | 0.948731i | ||||
\(263\) | −25.1348 | − | 14.5116i | −1.54988 | − | 0.894822i | −0.998150 | − | 0.0607961i | \(-0.980636\pi\) |
−0.551726 | − | 0.834025i | \(-0.686031\pi\) | |||||||
\(264\) | −1.65572 | − | 10.1773i | −0.101903 | − | 0.626372i | ||||
\(265\) | 12.3432 | 0.758236 | ||||||||
\(266\) | 1.77917 | − | 4.83125i | 0.109088 | − | 0.296223i | ||||
\(267\) | −3.27459 | + | 8.63873i | −0.200402 | + | 0.528682i | ||||
\(268\) | −0.912896 | + | 0.527061i | −0.0557640 | + | 0.0321953i | ||||
\(269\) | 11.3788 | − | 19.7086i | 0.693777 | − | 1.20166i | −0.276815 | − | 0.960923i | \(-0.589279\pi\) |
0.970591 | − | 0.240733i | \(-0.0773878\pi\) | |||||||
\(270\) | −0.584430 | + | 14.6854i | −0.0355673 | + | 0.893723i | ||||
\(271\) | −7.71867 | − | 13.3691i | −0.468876 | − | 0.812116i | 0.530491 | − | 0.847690i | \(-0.322007\pi\) |
−0.999367 | + | 0.0355739i | \(0.988674\pi\) | |||||||
\(272\) | −5.67475 | −0.344082 | ||||||||
\(273\) | 2.76347 | − | 16.2900i | 0.167253 | − | 0.985914i | ||||
\(274\) | 5.73854 | 0.346678 | ||||||||
\(275\) | 8.92986 | + | 15.4670i | 0.538491 | + | 0.932694i | ||||
\(276\) | 3.08515 | + | 3.77734i | 0.185704 | + | 0.227369i | ||||
\(277\) | 11.7800 | − | 20.4035i | 0.707791 | − | 1.22593i | −0.257884 | − | 0.966176i | \(-0.583025\pi\) |
0.965675 | − | 0.259754i | \(-0.0836416\pi\) | |||||||
\(278\) | −7.07460 | + | 4.08452i | −0.424307 | + | 0.244974i | ||||
\(279\) | −19.7448 | − | 17.4806i | −1.18209 | − | 1.04654i | ||||
\(280\) | 5.75074 | − | 4.78846i | 0.343672 | − | 0.286165i | ||||
\(281\) | 2.59314 | 0.154694 | 0.0773469 | − | 0.997004i | \(-0.475355\pi\) | ||||
0.0773469 | + | 0.997004i | \(0.475355\pi\) | |||||||
\(282\) | 13.3837 | − | 2.17735i | 0.796985 | − | 0.129659i | ||||
\(283\) | −18.2700 | − | 10.5482i | −1.08604 | − | 0.627024i | −0.153519 | − | 0.988146i | \(-0.549061\pi\) |
−0.932519 | + | 0.361121i | \(0.882394\pi\) | |||||||
\(284\) | 3.08490 | − | 5.34320i | 0.183055 | − | 0.317060i | ||||
\(285\) | −9.40938 | + | 1.53079i | −0.557364 | + | 0.0906760i | ||||
\(286\) | 18.3310 | − | 11.1667i | 1.08393 | − | 0.660298i | ||||
\(287\) | 1.82017 | + | 10.5562i | 0.107441 | + | 0.623115i | ||||
\(288\) | 2.24620 | + | 1.98862i | 0.132358 | + | 0.117180i | ||||
\(289\) | −7.60139 | − | 13.1660i | −0.447140 | − | 0.774470i | ||||
\(290\) | 0.0931373 | − | 0.161318i | 0.00546921 | − | 0.00947295i | ||||
\(291\) | −12.8820 | + | 10.5214i | −0.755157 | + | 0.616777i | ||||
\(292\) | −0.140240 | − | 0.242904i | −0.00820695 | − | 0.0142149i | ||||
\(293\) | 13.6747i | 0.798886i | 0.916758 | + | 0.399443i | \(0.130796\pi\) | ||||
−0.916758 | + | 0.399443i | \(0.869204\pi\) | |||||||
\(294\) | 12.1217 | + | 0.252533i | 0.706953 | + | 0.0147280i | ||||
\(295\) | 37.9621 | 2.21024 | ||||||||
\(296\) | 0.160796 | − | 0.0928358i | 0.00934610 | − | 0.00539597i | ||||
\(297\) | −30.9090 | − | 1.23008i | −1.79352 | − | 0.0713763i | ||||
\(298\) | −7.77314 | + | 13.4635i | −0.450286 | + | 0.779918i | ||||
\(299\) | −4.86797 | + | 8.90940i | −0.281522 | + | 0.515244i | ||||
\(300\) | −4.85888 | − | 1.84180i | −0.280527 | − | 0.106336i | ||||
\(301\) | −9.07795 | + | 1.56528i | −0.523244 | + | 0.0902210i | ||||
\(302\) | 20.9700i | 1.20669i | ||||||||
\(303\) | 1.84543 | + | 11.3434i | 0.106017 | + | 0.651663i | ||||
\(304\) | −0.972964 | + | 1.68522i | −0.0558033 | + | 0.0966542i | ||||
\(305\) | 20.9161 | − | 36.2277i | 1.19765 | − | 2.07439i | ||||
\(306\) | −3.39971 | + | 16.6813i | −0.194349 | + | 0.953608i | ||||
\(307\) | 12.9292 | 0.737908 | 0.368954 | − | 0.929448i | \(-0.379716\pi\) | ||||
0.368954 | + | 0.929448i | \(0.379716\pi\) | |||||||
\(308\) | 10.0785 | + | 12.1039i | 0.574276 | + | 0.689681i | ||||
\(309\) | 4.48750 | − | 11.8385i | 0.255285 | − | 0.673470i | ||||
\(310\) | 21.5319 | − | 12.4314i | 1.22293 | − | 0.706058i | ||||
\(311\) | 7.53321 | − | 13.0479i | 0.427169 | − | 0.739878i | −0.569451 | − | 0.822025i | \(-0.692844\pi\) |
0.996620 | + | 0.0821467i | \(0.0261776\pi\) | |||||||
\(312\) | −2.07550 | + | 5.89002i | −0.117502 | + | 0.333457i | ||||
\(313\) | 10.6006 | − | 6.12027i | 0.599183 | − | 0.345938i | −0.169537 | − | 0.985524i | \(-0.554227\pi\) |
0.768720 | + | 0.639585i | \(0.220894\pi\) | |||||||
\(314\) | − | 14.5311i | − | 0.820037i | ||||||
\(315\) | −10.6308 | − | 19.7735i | −0.598977 | − | 1.11411i | ||||
\(316\) | −8.36148 | −0.470370 | ||||||||
\(317\) | 7.30130 | + | 12.6462i | 0.410082 | + | 0.710283i | 0.994898 | − | 0.100883i | \(-0.0321667\pi\) |
−0.584816 | + | 0.811166i | \(0.698833\pi\) | |||||||
\(318\) | −4.78138 | − | 5.85414i | −0.268127 | − | 0.328284i | ||||
\(319\) | 0.339535 | + | 0.196030i | 0.0190103 | + | 0.0109756i | ||||
\(320\) | −2.44950 | + | 1.41422i | −0.136931 | + | 0.0790572i | ||||
\(321\) | −10.0029 | + | 26.3888i | −0.558308 | + | 1.47288i | ||||
\(322\) | −6.99096 | − | 2.57451i | −0.389591 | − | 0.143472i | ||||
\(323\) | −11.0427 | −0.614429 | ||||||||
\(324\) | 7.19137 | − | 5.41149i | 0.399521 | − | 0.300638i | ||||
\(325\) | −0.254550 | − | 10.8138i | −0.0141199 | − | 0.599844i | ||||
\(326\) | 1.09419 | + | 0.631733i | 0.0606018 | + | 0.0349885i | ||||
\(327\) | −2.87565 | + | 0.467832i | −0.159024 | + | 0.0258712i | ||||
\(328\) | − | 4.04876i | − | 0.223556i | ||||||
\(329\) | −15.9171 | + | 13.2537i | −0.877538 | + | 0.730699i | ||||
\(330\) | 10.3373 | − | 27.2709i | 0.569049 | − | 1.50122i | ||||
\(331\) | 30.8306 | − | 17.8001i | 1.69461 | − | 0.978381i | 0.743897 | − | 0.668294i | \(-0.232975\pi\) |
0.950708 | − | 0.310087i | \(-0.100358\pi\) | |||||||
\(332\) | −0.814514 | − | 0.470260i | −0.0447023 | − | 0.0258089i | ||||
\(333\) | −0.176565 | − | 0.528290i | −0.00967572 | − | 0.0289501i | ||||
\(334\) | −12.9034 | + | 7.44977i | −0.706041 | + | 0.407633i | ||||
\(335\) | −2.98151 | −0.162898 | ||||||||
\(336\) | −4.49874 | − | 0.872557i | −0.245426 | − | 0.0476019i | ||||
\(337\) | −2.05641 | −0.112020 | −0.0560098 | − | 0.998430i | \(-0.517838\pi\) | ||||
−0.0560098 | + | 0.998430i | \(0.517838\pi\) | |||||||
\(338\) | −12.9856 | + | 0.611682i | −0.706324 | + | 0.0332711i | ||||
\(339\) | 9.26834 | + | 11.3478i | 0.503387 | + | 0.616327i | ||||
\(340\) | −13.9003 | − | 8.02533i | −0.753849 | − | 0.435235i | ||||
\(341\) | 26.1650 | + | 45.3192i | 1.41692 | + | 2.45417i | ||||
\(342\) | 4.37094 | + | 3.86971i | 0.236353 | + | 0.209250i | ||||
\(343\) | −16.1431 | + | 9.07738i | −0.871648 | + | 0.490132i | ||||
\(344\) | 3.48177 | 0.187725 | ||||||||
\(345\) | 2.21509 | + | 13.6156i | 0.119257 | + | 0.733042i | ||||
\(346\) | −5.85736 | + | 10.1453i | −0.314894 | + | 0.545412i | ||||
\(347\) | 10.6785 | + | 6.16526i | 0.573254 | + | 0.330968i | 0.758448 | − | 0.651734i | \(-0.225958\pi\) |
−0.185194 | + | 0.982702i | \(0.559291\pi\) | |||||||
\(348\) | −0.112589 | + | 0.0183168i | −0.00603539 | + | 0.000981882i | ||||
\(349\) | −31.2915 | −1.67500 | −0.837498 | − | 0.546441i | \(-0.815982\pi\) | ||||
−0.837498 | + | 0.546441i | \(0.815982\pi\) | |||||||
\(350\) | 7.82196 | − | 1.34871i | 0.418101 | − | 0.0720916i | ||||
\(351\) | 16.0707 | + | 9.62976i | 0.857791 | + | 0.513998i | ||||
\(352\) | −2.97657 | − | 5.15557i | −0.158652 | − | 0.274793i | ||||
\(353\) | −3.55499 | − | 2.05247i | −0.189213 | − | 0.109242i | 0.402401 | − | 0.915463i | \(-0.368176\pi\) |
−0.591614 | + | 0.806221i | \(0.701509\pi\) | |||||||
\(354\) | −14.7054 | − | 18.0047i | −0.781582 | − | 0.956937i | ||||
\(355\) | 15.1129 | − | 8.72543i | 0.802109 | − | 0.463098i | ||||
\(356\) | 5.33387i | 0.282695i | ||||||||
\(357\) | −8.47644 | − | 24.5847i | −0.448621 | − | 1.30116i | ||||
\(358\) | 5.24597i | 0.277258i | ||||||||
\(359\) | 12.8433 | + | 22.2452i | 0.677842 | + | 1.17406i | 0.975630 | + | 0.219424i | \(0.0704178\pi\) |
−0.297788 | + | 0.954632i | \(0.596249\pi\) | |||||||
\(360\) | 2.68971 | + | 8.04773i | 0.141760 | + | 0.424152i | ||||
\(361\) | 7.60668 | − | 13.1752i | 0.400352 | − | 0.693430i | ||||
\(362\) | 2.89913 | − | 1.67381i | 0.152375 | − | 0.0879736i | ||||
\(363\) | 39.5828 | + | 15.0042i | 2.07756 | + | 0.787518i | ||||
\(364\) | −1.84170 | − | 9.35992i | −0.0965311 | − | 0.490593i | ||||
\(365\) | − | 0.793322i | − | 0.0415244i | ||||||
\(366\) | −25.2844 | + | 4.11344i | −1.32163 | + | 0.215013i | ||||
\(367\) | −13.3337 | − | 7.69823i | −0.696015 | − | 0.401844i | 0.109847 | − | 0.993949i | \(-0.464964\pi\) |
−0.805861 | + | 0.592104i | \(0.798297\pi\) | |||||||
\(368\) | 2.43857 | + | 1.40791i | 0.127119 | + | 0.0733922i | ||||
\(369\) | −11.9016 | − | 2.42559i | −0.619574 | − | 0.126271i | ||||
\(370\) | 0.525161 | 0.0273018 | ||||||||
\(371\) | 10.8346 | + | 3.99000i | 0.562506 | + | 0.207150i | ||||
\(372\) | −14.2368 | − | 5.39659i | −0.738144 | − | 0.279800i | ||||
\(373\) | 14.7842 | + | 25.6070i | 0.765498 | + | 1.32588i | 0.939983 | + | 0.341221i | \(0.110841\pi\) |
−0.174485 | + | 0.984660i | \(0.555826\pi\) | |||||||
\(374\) | 16.8913 | − | 29.2566i | 0.873428 | − | 1.51282i | ||||
\(375\) | 6.19781 | + | 7.58835i | 0.320053 | + | 0.391861i | ||||
\(376\) | 6.77981 | − | 3.91432i | 0.349642 | − | 0.201866i | ||||
\(377\) | −0.123533 | − | 0.202790i | −0.00636229 | − | 0.0104442i | ||||
\(378\) | −5.26012 | + | 12.7016i | −0.270551 | + | 0.653301i | ||||
\(379\) | − | 14.2729i | − | 0.733151i | −0.930388 | − | 0.366576i | \(-0.880530\pi\) | ||
0.930388 | − | 0.366576i | \(-0.119470\pi\) | |||||||
\(380\) | −4.76654 | + | 2.75197i | −0.244519 | + | 0.141173i | ||||
\(381\) | −0.756764 | + | 0.618090i | −0.0387702 | + | 0.0316657i | ||||
\(382\) | 12.5958 | + | 7.27218i | 0.644456 | + | 0.372077i | ||||
\(383\) | 23.7432 | − | 13.7081i | 1.21322 | − | 0.700453i | 0.249761 | − | 0.968308i | \(-0.419648\pi\) |
0.963459 | + | 0.267855i | \(0.0863148\pi\) | |||||||
\(384\) | 1.61960 | + | 0.613923i | 0.0826498 | + | 0.0313291i | ||||
\(385\) | 7.56977 | + | 43.9015i | 0.385791 | + | 2.23743i | ||||
\(386\) | 4.11932i | 0.209668i | ||||||||
\(387\) | 2.08591 | − | 10.2349i | 0.106033 | − | 0.520270i | ||||
\(388\) | −4.80144 | + | 8.31634i | −0.243756 | + | 0.422198i | ||||
\(389\) | −28.0439 | − | 16.1912i | −1.42188 | − | 0.820925i | −0.425424 | − | 0.904994i | \(-0.639875\pi\) |
−0.996460 | + | 0.0840687i | \(0.973208\pi\) | |||||||
\(390\) | −13.4137 | + | 11.4924i | −0.679229 | + | 0.581939i | ||||
\(391\) | 15.9790i | 0.808095i | ||||||||
\(392\) | 6.59579 | − | 2.34427i | 0.333138 | − | 0.118403i | ||||
\(393\) | −28.7191 | − | 10.8862i | −1.44869 | − | 0.549137i | ||||
\(394\) | 2.15873 | + | 3.73903i | 0.108755 | + | 0.188370i | ||||
\(395\) | −20.4814 | − | 11.8250i | −1.03053 | − | 0.594978i | ||||
\(396\) | −16.9384 | + | 5.66117i | −0.851188 | + | 0.284484i | ||||
\(397\) | −3.64884 | − | 6.31997i | −0.183130 | − | 0.317190i | 0.759815 | − | 0.650139i | \(-0.225290\pi\) |
−0.942945 | + | 0.332949i | \(0.891956\pi\) | |||||||
\(398\) | 20.7801i | 1.04161i | ||||||||
\(399\) | −8.75422 | − | 1.69793i | −0.438259 | − | 0.0850029i | ||||
\(400\) | −3.00005 | −0.150002 | ||||||||
\(401\) | 10.5538 | + | 18.2797i | 0.527030 | + | 0.912842i | 0.999504 | + | 0.0314978i | \(0.0100277\pi\) |
−0.472474 | + | 0.881345i | \(0.656639\pi\) | |||||||
\(402\) | 1.15495 | + | 1.41407i | 0.0576036 | + | 0.0705276i | ||||
\(403\) | −0.745847 | − | 31.6852i | −0.0371533 | − | 1.57835i | ||||
\(404\) | 3.31762 | + | 5.74628i | 0.165058 | + | 0.285888i | ||||
\(405\) | 25.2683 | − | 3.08525i | 1.25559 | − | 0.153308i | ||||
\(406\) | 0.133901 | − | 0.111495i | 0.00664540 | − | 0.00553342i | ||||
\(407\) | 1.10533i | 0.0547892i | ||||||||
\(408\) | 1.57830 | + | 9.70141i | 0.0781373 | + | 0.480291i | ||||
\(409\) | −17.8308 | + | 30.8839i | −0.881677 | + | 1.52711i | −0.0322023 | + | 0.999481i | \(0.510252\pi\) |
−0.849475 | + | 0.527629i | \(0.823081\pi\) | |||||||
\(410\) | 5.72583 | − | 9.91743i | 0.282779 | − | 0.489787i | ||||
\(411\) | −1.59604 | − | 9.81046i | −0.0787266 | − | 0.483914i | ||||
\(412\) | − | 7.30954i | − | 0.360115i | ||||||
\(413\) | 33.3224 | + | 12.2714i | 1.63969 | + | 0.603837i | ||||
\(414\) | 5.59958 | − | 6.32487i | 0.275204 | − | 0.310850i | ||||
\(415\) | −1.33010 | − | 2.30380i | −0.0652920 | − | 0.113089i | ||||
\(416\) | 0.0848486 | + | 3.60455i | 0.00416004 | + | 0.176728i | ||||
\(417\) | 8.95043 | + | 10.9586i | 0.438305 | + | 0.536643i | ||||
\(418\) | −5.79219 | − | 10.0324i | −0.283305 | − | 0.490699i | ||||
\(419\) | 26.4452 | 1.29193 | 0.645966 | − | 0.763367i | \(-0.276455\pi\) | ||||
0.645966 | + | 0.763367i | \(0.276455\pi\) | |||||||
\(420\) | −9.78566 | − | 8.49952i | −0.477491 | − | 0.414734i | ||||
\(421\) | 14.7368i | 0.718230i | 0.933293 | + | 0.359115i | \(0.116921\pi\) | ||||
−0.933293 | + | 0.359115i | \(0.883079\pi\) | |||||||
\(422\) | −3.97607 | − | 6.88675i | −0.193552 | − | 0.335242i | ||||
\(423\) | −7.44469 | − | 22.2748i | −0.361973 | − | 1.08304i | ||||
\(424\) | −3.77930 | − | 2.18198i | −0.183539 | − | 0.105966i | ||||
\(425\) | −8.51226 | − | 14.7437i | −0.412905 | − | 0.715173i | ||||
\(426\) | −9.99259 | − | 3.78778i | −0.484142 | − | 0.183518i | ||||
\(427\) | 30.0705 | − | 25.0388i | 1.45522 | − | 1.21171i | ||||
\(428\) | 16.2934i | 0.787573i | ||||||||
\(429\) | −24.1885 | − | 28.2324i | −1.16783 | − | 1.36308i | ||||
\(430\) | 8.52859 | + | 4.92399i | 0.411285 | + | 0.237456i | ||||
\(431\) | −0.156980 | + | 0.271898i | −0.00756147 | + | 0.0130968i | −0.869781 | − | 0.493437i | \(-0.835740\pi\) |
0.862220 | + | 0.506534i | \(0.169074\pi\) | |||||||
\(432\) | 2.77497 | − | 4.39313i | 0.133511 | − | 0.211364i | ||||
\(433\) | − | 7.25461i | − | 0.348634i | −0.984690 | − | 0.174317i | \(-0.944228\pi\) | ||
0.984690 | − | 0.174317i | \(-0.0557718\pi\) | |||||||
\(434\) | 22.9188 | − | 3.95180i | 1.10014 | − | 0.189693i | ||||
\(435\) | −0.301690 | − | 0.114358i | −0.0144649 | − | 0.00548306i | ||||
\(436\) | −1.45673 | + | 0.841043i | −0.0697647 | + | 0.0402787i | ||||
\(437\) | 4.74527 | + | 2.73968i | 0.226997 | + | 0.131057i | ||||
\(438\) | −0.376257 | + | 0.307309i | −0.0179783 | + | 0.0146838i | ||||
\(439\) | −14.6535 | + | 8.46021i | −0.699374 | + | 0.403784i | −0.807114 | − | 0.590395i | \(-0.798972\pi\) |
0.107740 | + | 0.994179i | \(0.465639\pi\) | |||||||
\(440\) | − | 16.8381i | − | 0.802724i | ||||||
\(441\) | −2.93964 | − | 20.7932i | −0.139983 | − | 0.990154i | ||||
\(442\) | −17.4737 | + | 10.6445i | −0.831141 | + | 0.506305i | ||||
\(443\) | 15.1134 | − | 8.72575i | 0.718061 | − | 0.414573i | −0.0959775 | − | 0.995384i | \(-0.530598\pi\) |
0.814039 | + | 0.580811i | \(0.197264\pi\) | |||||||
\(444\) | −0.203431 | − | 0.249073i | −0.00965443 | − | 0.0118205i | ||||
\(445\) | −7.54326 | + | 13.0653i | −0.357585 | + | 0.619355i | ||||
\(446\) | −3.72613 | − | 6.45385i | −0.176437 | − | 0.305598i | ||||
\(447\) | 25.1787 | + | 9.54423i | 1.19091 | + | 0.451426i | ||||
\(448\) | −2.60728 | + | 0.449563i | −0.123182 | + | 0.0212398i | ||||
\(449\) | 17.9838 | 0.848710 | 0.424355 | − | 0.905496i | \(-0.360501\pi\) | ||||
0.424355 | + | 0.905496i | \(0.360501\pi\) | |||||||
\(450\) | −1.79732 | + | 8.81886i | −0.0847263 | + | 0.415725i | ||||
\(451\) | 20.8737 | + | 12.0514i | 0.982904 | + | 0.567480i | ||||
\(452\) | 7.32589 | + | 4.22960i | 0.344581 | + | 0.198944i | ||||
\(453\) | 35.8497 | − | 5.83230i | 1.68437 | − | 0.274025i | ||||
\(454\) | − | 3.44142i | − | 0.161514i | ||||||
\(455\) | 8.72574 | − | 25.5317i | 0.409069 | − | 1.19694i | ||||
\(456\) | 3.15162 | + | 1.19465i | 0.147588 | + | 0.0559446i | ||||
\(457\) | 11.6122 | − | 6.70430i | 0.543195 | − | 0.313614i | −0.203178 | − | 0.979142i | \(-0.565127\pi\) |
0.746373 | + | 0.665528i | \(0.231794\pi\) | |||||||
\(458\) | −11.6436 | + | 20.1673i | −0.544068 | + | 0.942354i | ||||
\(459\) | 29.4635 | + | 1.17255i | 1.37524 | + | 0.0547301i | ||||
\(460\) | 3.98217 | + | 6.89733i | 0.185670 | + | 0.321590i | ||||
\(461\) | 26.0507i | 1.21330i | 0.794968 | + | 0.606652i | \(0.207488\pi\) | ||||
−0.794968 | + | 0.606652i | \(0.792512\pi\) | |||||||
\(462\) | 17.8893 | − | 20.5963i | 0.832288 | − | 0.958229i | ||||
\(463\) | − | 2.25851i | − | 0.104962i | −0.998622 | − | 0.0524809i | \(-0.983287\pi\) | ||
0.998622 | − | 0.0524809i | \(-0.0167129\pi\) | |||||||
\(464\) | −0.0570345 | + | 0.0329289i | −0.00264776 | + | 0.00152869i | ||||
\(465\) | −27.2411 | − | 33.3529i | −1.26327 | − | 1.54670i | ||||
\(466\) | 11.5261 | + | 6.65459i | 0.533935 | + | 0.308268i | ||||
\(467\) | −3.10488 | − | 5.37781i | −0.143677 | − | 0.248856i | 0.785202 | − | 0.619240i | \(-0.212559\pi\) |
−0.928879 | + | 0.370385i | \(0.879226\pi\) | |||||||
\(468\) | 10.6467 | + | 1.91005i | 0.492143 | + | 0.0882922i | ||||
\(469\) | −2.61712 | − | 0.963789i | −0.120847 | − | 0.0445036i | ||||
\(470\) | 22.1428 | 1.02137 | ||||||||
\(471\) | −24.8420 | + | 4.04147i | −1.14466 | + | 0.186221i | ||||
\(472\) | −11.6234 | − | 6.71079i | −0.535012 | − | 0.308889i | ||||
\(473\) | −10.3637 | + | 17.9505i | −0.476526 | + | 0.825366i | ||||
\(474\) | 2.32554 | + | 14.2946i | 0.106816 | + | 0.656571i | ||||
\(475\) | −5.83788 | −0.267860 | ||||||||
\(476\) | −9.60719 | − | 11.5378i | −0.440345 | − | 0.528835i | ||||
\(477\) | −8.67826 | + | 9.80232i | −0.397350 | + | 0.448818i | ||||
\(478\) | −0.170361 | − | 0.295074i | −0.00779212 | − | 0.0134964i | ||||
\(479\) | −4.98664 | − | 2.87904i | −0.227845 | − | 0.131547i | 0.381732 | − | 0.924273i | \(-0.375328\pi\) |
−0.609578 | + | 0.792726i | \(0.708661\pi\) | |||||||
\(480\) | 3.09898 | + | 3.79427i | 0.141448 | + | 0.173184i | ||||
\(481\) | 0.320988 | − | 0.587476i | 0.0146358 | − | 0.0267866i | ||||
\(482\) | 4.15601 | 0.189301 | ||||||||
\(483\) | −2.45696 | + | 12.6676i | −0.111795 | + | 0.576396i | ||||
\(484\) | 24.4399 | 1.11091 | ||||||||
\(485\) | −23.5222 | + | 13.5806i | −1.06809 | + | 0.616662i | ||||
\(486\) | −11.2514 | − | 10.7891i | −0.510376 | − | 0.489404i | ||||
\(487\) | 26.9169 | + | 15.5405i | 1.21972 | + | 0.704207i | 0.964858 | − | 0.262770i | \(-0.0846361\pi\) |
0.254864 | + | 0.966977i | \(0.417969\pi\) | |||||||
\(488\) | −12.8084 | + | 7.39493i | −0.579809 | + | 0.334753i | ||||
\(489\) | 0.775672 | − | 2.04631i | 0.0350771 | − | 0.0925373i | ||||
\(490\) | 19.4717 | + | 3.58560i | 0.879640 | + | 0.161981i | ||||
\(491\) | 7.69142i | 0.347109i | 0.984824 | + | 0.173554i | \(0.0555253\pi\) | ||||
−0.984824 | + | 0.173554i | \(0.944475\pi\) | |||||||
\(492\) | −6.92166 | + | 1.12607i | −0.312053 | + | 0.0507670i | ||||
\(493\) | −0.323657 | − | 0.186863i | −0.0145768 | − | 0.00841590i | ||||
\(494\) | 0.165109 | + | 7.01420i | 0.00742861 | + | 0.315584i | ||||
\(495\) | −49.4968 | − | 10.0876i | −2.22471 | − | 0.453405i | ||||
\(496\) | −8.79033 | −0.394697 | ||||||||
\(497\) | 16.0864 | − | 2.77371i | 0.721572 | − | 0.124418i | ||||
\(498\) | −0.577407 | + | 1.52326i | −0.0258742 | + | 0.0682591i | ||||
\(499\) | 4.05046 | − | 2.33853i | 0.181323 | − | 0.104687i | −0.406591 | − | 0.913610i | \(-0.633283\pi\) |
0.587914 | + | 0.808923i | \(0.299949\pi\) | |||||||
\(500\) | 4.89887 | + | 2.82837i | 0.219084 | + | 0.126488i | ||||
\(501\) | 16.3247 | + | 19.9873i | 0.729334 | + | 0.892967i | ||||
\(502\) | 12.0936 | + | 20.9467i | 0.539764 | + | 0.934898i | ||||
\(503\) | −24.1876 | −1.07847 | −0.539236 | − | 0.842155i | \(-0.681287\pi\) | ||||
−0.539236 | + | 0.842155i | \(0.681287\pi\) | |||||||
\(504\) | −0.240485 | + | 7.93361i | −0.0107121 | + | 0.353391i | ||||
\(505\) | 18.7673i | 0.835136i | ||||||||
\(506\) | −14.5171 | + | 8.38147i | −0.645365 | + | 0.372602i | ||||
\(507\) | 4.65735 | + | 22.0297i | 0.206840 | + | 0.978375i | ||||
\(508\) | −0.282065 | + | 0.488551i | −0.0125146 | + | 0.0216759i | ||||
\(509\) | −24.6547 | + | 14.2344i | −1.09280 | + | 0.630929i | −0.934321 | − | 0.356434i | \(-0.883993\pi\) |
−0.158480 | + | 0.987362i | \(0.550659\pi\) | |||||||
\(510\) | −9.85387 | + | 25.9956i | −0.436337 | + | 1.15111i | ||||
\(511\) | 0.256445 | − | 0.696364i | 0.0113445 | − | 0.0308053i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 5.39988 | − | 8.54871i | 0.238411 | − | 0.377435i | ||||
\(514\) | 5.25640 | − | 9.10435i | 0.231850 | − | 0.401576i | ||||
\(515\) | 10.3373 | − | 17.9047i | 0.455515 | − | 0.788976i | ||||
\(516\) | −0.968372 | − | 5.95235i | −0.0426302 | − | 0.262038i | ||||
\(517\) | 46.6051i | 2.04969i | ||||||||
\(518\) | 0.460976 | + | 0.169761i | 0.0202541 | + | 0.00745886i | ||||
\(519\) | 18.9732 | + | 7.19194i | 0.832829 | + | 0.315691i | ||||
\(520\) | −4.88979 | + | 8.94934i | −0.214431 | + | 0.392454i | ||||
\(521\) | 1.14358 | − | 1.98074i | 0.0501012 | − | 0.0867779i | −0.839887 | − | 0.542761i | \(-0.817379\pi\) |
0.889988 | + | 0.455983i | \(0.150712\pi\) | |||||||
\(522\) | 0.0626278 | + | 0.187385i | 0.00274114 | + | 0.00820160i | ||||
\(523\) | 2.06219 | − | 1.19060i | 0.0901732 | − | 0.0520615i | −0.454235 | − | 0.890882i | \(-0.650087\pi\) |
0.544409 | + | 0.838820i | \(0.316754\pi\) | |||||||
\(524\) | −17.7322 | −0.774636 | ||||||||
\(525\) | −4.48121 | − | 12.9971i | −0.195576 | − | 0.567241i | ||||
\(526\) | 29.0231i | 1.26547i | ||||||||
\(527\) | −24.9414 | − | 43.1999i | −1.08647 | − | 1.88182i | ||||
\(528\) | −7.98598 | + | 6.52257i | −0.347545 | + | 0.283858i | ||||
\(529\) | −7.53560 | + | 13.0520i | −0.327635 | + | 0.567480i | ||||
\(530\) | −6.17160 | − | 10.6895i | −0.268077 | − | 0.464323i | ||||
\(531\) | −26.6904 | + | 30.1475i | −1.15826 | + | 1.30829i | ||||
\(532\) | −5.07357 | + | 0.874816i | −0.219967 | + | 0.0379281i | ||||
\(533\) | −7.59450 | − | 12.4670i | −0.328954 | − | 0.540005i | ||||
\(534\) | 9.11865 | − | 1.48349i | 0.394603 | − | 0.0641968i | ||||
\(535\) | −23.0425 | + | 39.9107i | −0.996213 | + | 1.72549i | ||||
\(536\) | 0.912896 | + | 0.527061i | 0.0394311 | + | 0.0227655i | ||||
\(537\) | 8.96838 | − | 1.45904i | 0.387014 | − | 0.0629622i | ||||
\(538\) | −22.7576 | −0.981148 | ||||||||
\(539\) | −7.54678 | + | 40.9829i | −0.325063 | + | 1.76526i | ||||
\(540\) | 13.0101 | − | 6.83655i | 0.559866 | − | 0.294198i | ||||
\(541\) | −9.26863 | + | 5.35124i | −0.398489 | + | 0.230068i | −0.685832 | − | 0.727760i | \(-0.740562\pi\) |
0.287343 | + | 0.957828i | \(0.407228\pi\) | |||||||
\(542\) | −7.71867 | + | 13.3691i | −0.331545 | + | 0.574253i | ||||
\(543\) | −3.66783 | − | 4.49075i | −0.157402 | − | 0.192716i | ||||
\(544\) | 2.83737 | + | 4.91448i | 0.121651 | + | 0.210706i | ||||
\(545\) | −4.75767 | −0.203796 | ||||||||
\(546\) | −15.4893 | + | 5.75176i | −0.662879 | + | 0.246152i | ||||
\(547\) | −37.8140 | −1.61681 | −0.808406 | − | 0.588626i | \(-0.799669\pi\) | ||||
−0.808406 | + | 0.588626i | \(0.799669\pi\) | |||||||
\(548\) | −2.86927 | − | 4.96972i | −0.122569 | − | 0.212296i | ||||
\(549\) | 14.0645 | + | 42.0815i | 0.600257 | + | 1.79599i | ||||
\(550\) | 8.92986 | − | 15.4670i | 0.380771 | − | 0.659514i | ||||
\(551\) | −0.110985 | + | 0.0640772i | −0.00472812 | + | 0.00272978i | ||||
\(552\) | 1.72869 | − | 4.56049i | 0.0735781 | − | 0.194107i | ||||
\(553\) | −14.1557 | − | 17.0004i | −0.601963 | − | 0.722932i | ||||
\(554\) | −23.5600 | −1.00097 | ||||||||
\(555\) | −0.146061 | − | 0.897801i | −0.00619994 | − | 0.0381095i | ||||
\(556\) | 7.07460 | + | 4.08452i | 0.300030 | + | 0.173222i | ||||
\(557\) | 14.7923 | − | 25.6210i | 0.626769 | − | 1.08560i | −0.361427 | − | 0.932400i | \(-0.617710\pi\) |
0.988196 | − | 0.153195i | \(-0.0489563\pi\) | |||||||
\(558\) | −5.26624 | + | 25.8398i | −0.222938 | + | 1.09389i | ||||
\(559\) | 10.7211 | − | 6.53096i | 0.453455 | − | 0.276230i | ||||
\(560\) | −7.02230 | − | 2.58606i | −0.296746 | − | 0.109281i | ||||
\(561\) | −54.7142 | − | 20.7399i | −2.31004 | − | 0.875640i | ||||
\(562\) | −1.29657 | − | 2.24573i | −0.0546925 | − | 0.0947303i | ||||
\(563\) | 17.0347 | − | 29.5050i | 0.717928 | − | 1.24349i | −0.243891 | − | 0.969803i | \(-0.578424\pi\) |
0.961819 | − | 0.273686i | \(-0.0882428\pi\) | |||||||
\(564\) | −8.57747 | − | 10.5019i | −0.361177 | − | 0.442210i | ||||
\(565\) | 11.9632 | + | 20.7208i | 0.503294 | + | 0.871731i | ||||
\(566\) | 21.0964i | 0.886746i | ||||||||
\(567\) | 23.1773 | + | 5.45991i | 0.973357 | + | 0.229295i | ||||
\(568\) | −6.16979 | −0.258879 | ||||||||
\(569\) | −31.3283 | + | 18.0874i | −1.31335 | + | 0.758263i | −0.982649 | − | 0.185473i | \(-0.940618\pi\) |
−0.330700 | + | 0.943736i | \(0.607285\pi\) | |||||||
\(570\) | 6.03039 | + | 7.38337i | 0.252585 | + | 0.309255i | ||||
\(571\) | −9.51154 | + | 16.4745i | −0.398046 | + | 0.689435i | −0.993485 | − | 0.113965i | \(-0.963645\pi\) |
0.595439 | + | 0.803400i | \(0.296978\pi\) | |||||||
\(572\) | −18.8361 | − | 10.2918i | −0.787577 | − | 0.430320i | ||||
\(573\) | 8.92911 | − | 23.5560i | 0.373019 | − | 0.984066i | ||||
\(574\) | 8.23189 | − | 6.85444i | 0.343592 | − | 0.286099i | ||||
\(575\) | 8.44758i | 0.352289i | ||||||||
\(576\) | 0.599095 | − | 2.93957i | 0.0249623 | − | 0.122482i | ||||
\(577\) | 11.4956 | − | 19.9110i | 0.478569 | − | 0.828906i | −0.521129 | − | 0.853478i | \(-0.674489\pi\) |
0.999698 | + | 0.0245722i | \(0.00782238\pi\) | |||||||
\(578\) | −7.60139 | + | 13.1660i | −0.316176 | + | 0.547633i | ||||
\(579\) | 7.04229 | − | 1.14569i | 0.292668 | − | 0.0476133i | ||||
\(580\) | −0.186275 | −0.00773463 | ||||||||
\(581\) | −0.422823 | − | 2.45220i | −0.0175416 | − | 0.101734i | ||||
\(582\) | 15.5528 | + | 5.89544i | 0.644685 | + | 0.244374i | ||||
\(583\) | 22.4987 | − | 12.9897i | 0.931803 | − | 0.537976i | ||||
\(584\) | −0.140240 | + | 0.242904i | −0.00580319 | + | 0.0100514i | ||||
\(585\) | 23.3778 | + | 19.7354i | 0.966552 | + | 0.815958i | ||||
\(586\) | 11.8427 | − | 6.83736i | 0.489215 | − | 0.282449i | ||||
\(587\) | 19.0243i | 0.785216i | 0.919706 | + | 0.392608i | \(0.128427\pi\) | ||||
−0.919706 | + | 0.392608i | \(0.871573\pi\) | |||||||
\(588\) | −5.84216 | − | 10.6240i | −0.240927 | − | 0.438126i | ||||
\(589\) | −17.1053 | −0.704813 | ||||||||
\(590\) | −18.9810 | − | 32.8761i | −0.781437 | − | 1.35349i | ||||
\(591\) | 5.79175 | − | 4.73043i | 0.238241 | − | 0.194584i | ||||
\(592\) | −0.160796 | − | 0.0928358i | −0.00660869 | − | 0.00381553i | ||||
\(593\) | 39.8303 | − | 22.9960i | 1.63563 | − | 0.944333i | 0.653322 | − | 0.757080i | \(-0.273375\pi\) |
0.982312 | − | 0.187253i | \(-0.0599584\pi\) | |||||||
\(594\) | 14.3892 | + | 27.3830i | 0.590396 | + | 1.12354i | ||||
\(595\) | −7.21578 | − | 41.8485i | −0.295818 | − | 1.71562i | ||||
\(596\) | 15.5463 | 0.636801 | ||||||||
\(597\) | 35.5251 | − | 5.77948i | 1.45394 | − | 0.236538i | ||||
\(598\) | 10.1497 | − | 0.238918i | 0.415054 | − | 0.00977007i | ||||
\(599\) | 35.1898 | + | 20.3169i | 1.43782 | + | 0.830124i | 0.997698 | − | 0.0678154i | \(-0.0216029\pi\) |
0.440119 | + | 0.897939i | \(0.354936\pi\) | |||||||
\(600\) | 0.834392 | + | 5.12881i | 0.0340639 | + | 0.209383i | ||||
\(601\) | − | 14.9537i | − | 0.609973i | −0.952357 | − | 0.304986i | \(-0.901348\pi\) | ||
0.952357 | − | 0.304986i | \(-0.0986519\pi\) | |||||||
\(602\) | 5.89454 | + | 7.07909i | 0.240244 | + | 0.288522i | ||||
\(603\) | 2.09624 | − | 2.36776i | 0.0853657 | − | 0.0964228i | ||||
\(604\) | 18.1605 | − | 10.4850i | 0.738942 | − | 0.426628i | ||||
\(605\) | 59.8655 | + | 34.5634i | 2.43388 | + | 1.40520i | ||||
\(606\) | 8.90099 | − | 7.26991i | 0.361578 | − | 0.295320i | ||||
\(607\) | −38.9035 | + | 22.4609i | −1.57904 | + | 0.911661i | −0.584050 | + | 0.811718i | \(0.698533\pi\) |
−0.994993 | + | 0.0999432i | \(0.968134\pi\) | |||||||
\(608\) | 1.94593 | 0.0789178 | ||||||||
\(609\) | −0.227851 | − | 0.197904i | −0.00923299 | − | 0.00801949i | ||||
\(610\) | −41.8322 | −1.69373 | ||||||||
\(611\) | 13.5341 | − | 24.7703i | 0.547532 | − | 1.00210i | ||||
\(612\) | 16.1463 | − | 5.39643i | 0.652676 | − | 0.218138i | ||||
\(613\) | 21.2198 | + | 12.2513i | 0.857062 | + | 0.494825i | 0.863027 | − | 0.505157i | \(-0.168566\pi\) |
−0.00596561 | + | 0.999982i | \(0.501899\pi\) | |||||||
\(614\) | −6.46460 | − | 11.1970i | −0.260890 | − | 0.451875i | ||||
\(615\) | −18.5471 | − | 7.03044i | −0.747891 | − | 0.283495i | ||||
\(616\) | 5.44299 | − | 14.7802i | 0.219304 | − | 0.595510i | ||||
\(617\) | −5.16102 | −0.207775 | −0.103887 | − | 0.994589i | \(-0.533128\pi\) | ||||
−0.103887 | + | 0.994589i | \(0.533128\pi\) | |||||||
\(618\) | −12.4962 | + | 2.03297i | −0.502671 | + | 0.0817782i | ||||
\(619\) | −23.5913 | + | 40.8613i | −0.948214 | + | 1.64235i | −0.199028 | + | 0.979994i | \(0.563779\pi\) |
−0.749185 | + | 0.662360i | \(0.769555\pi\) | |||||||
\(620\) | −21.5319 | − | 12.4314i | −0.864741 | − | 0.499259i | ||||
\(621\) | −12.3702 | − | 7.81378i | −0.496400 | − | 0.313556i | ||||
\(622\) | −15.0664 | −0.604108 | ||||||||
\(623\) | −10.8448 | + | 9.03009i | −0.434486 | + | 0.361783i | ||||
\(624\) | 6.13865 | − | 1.14757i | 0.245743 | − | 0.0459398i | ||||
\(625\) | 15.5000 | + | 26.8467i | 0.619999 | + | 1.07387i | ||||
\(626\) | −10.6006 | − | 6.12027i | −0.423686 | − | 0.244615i | ||||
\(627\) | −15.5401 | + | 12.6925i | −0.620613 | + | 0.506888i | ||||
\(628\) | −12.5843 | + | 7.26555i | −0.502168 | + | 0.289927i | ||||
\(629\) | − | 1.05364i | − | 0.0420114i | ||||||
\(630\) | −11.8089 | + | 19.0933i | −0.470479 | + | 0.760694i | ||||
\(631\) | 6.15939i | 0.245201i | 0.992456 | + | 0.122601i | \(0.0391234\pi\) | ||||
−0.992456 | + | 0.122601i | \(0.960877\pi\) | |||||||
\(632\) | 4.18074 | + | 7.24125i | 0.166301 | + | 0.288042i | ||||
\(633\) | −10.6676 | + | 8.71277i | −0.423998 | + | 0.346302i | ||||
\(634\) | 7.30130 | − | 12.6462i | 0.289972 | − | 0.502246i | ||||
\(635\) | −1.38183 | + | 0.797803i | −0.0548364 | + | 0.0316598i | ||||
\(636\) | −2.67914 | + | 7.06787i | −0.106235 | + | 0.280259i | ||||
\(637\) | 15.9125 | − | 19.5906i | 0.630478 | − | 0.776208i | ||||
\(638\) | − | 0.392061i | − | 0.0155218i | ||||||
\(639\) | −3.69629 | + | 18.1366i | −0.146223 | + | 0.717471i | ||||
\(640\) | 2.44950 | + | 1.41422i | 0.0968249 | + | 0.0559019i | ||||
\(641\) | 22.4818 | + | 12.9799i | 0.887978 | + | 0.512674i | 0.873281 | − | 0.487218i | \(-0.161988\pi\) |
0.0146975 | + | 0.999892i | \(0.495321\pi\) | |||||||
\(642\) | 27.8548 | − | 4.53163i | 1.09934 | − | 0.178849i | ||||
\(643\) | −38.3382 | −1.51191 | −0.755956 | − | 0.654622i | \(-0.772828\pi\) | ||||
−0.755956 | + | 0.654622i | \(0.772828\pi\) | |||||||
\(644\) | 1.26588 | + | 7.34161i | 0.0498828 | + | 0.289300i | ||||
\(645\) | 6.04590 | − | 15.9498i | 0.238057 | − | 0.628021i | ||||
\(646\) | 5.52133 | + | 9.56322i | 0.217234 | + | 0.376260i | ||||
\(647\) | 16.4037 | − | 28.4120i | 0.644896 | − | 1.11699i | −0.339430 | − | 0.940631i | \(-0.610234\pi\) |
0.984326 | − | 0.176361i | \(-0.0564326\pi\) | |||||||
\(648\) | −8.28217 | − | 3.52217i | −0.325354 | − | 0.138364i | ||||
\(649\) | 69.1959 | − | 39.9503i | 2.71618 | − | 1.56819i | ||||
\(650\) | −9.23778 | + | 5.62737i | −0.362336 | + | 0.220723i | ||||
\(651\) | −13.1302 | − | 38.0823i | −0.514614 | − | 1.49256i | ||||
\(652\) | − | 1.26347i | − | 0.0494812i | ||||||
\(653\) | −2.21204 | + | 1.27712i | −0.0865637 | + | 0.0499776i | −0.542657 | − | 0.839954i | \(-0.682582\pi\) |
0.456093 | + | 0.889932i | \(0.349248\pi\) | |||||||
\(654\) | 1.84298 | + | 2.25647i | 0.0720662 | + | 0.0882350i | ||||
\(655\) | −43.4350 | − | 25.0772i | −1.69715 | − | 0.979849i | ||||
\(656\) | −3.50633 | + | 2.02438i | −0.136899 | + | 0.0790388i | ||||
\(657\) | 0.630015 | + | 0.557769i | 0.0245792 | + | 0.0217606i | ||||
\(658\) | 19.4366 | + | 7.15778i | 0.757716 | + | 0.279039i | ||||
\(659\) | 12.5915i | 0.490495i | 0.969460 | + | 0.245248i | \(0.0788693\pi\) | ||||
−0.969460 | + | 0.245248i | \(0.921131\pi\) | |||||||
\(660\) | −28.7860 | + | 4.68311i | −1.12049 | + | 0.182290i | ||||
\(661\) | 3.19978 | − | 5.54218i | 0.124457 | − | 0.215566i | −0.797064 | − | 0.603895i | \(-0.793614\pi\) |
0.921521 | + | 0.388330i | \(0.126948\pi\) | |||||||
\(662\) | −30.8306 | − | 17.8001i | −1.19827 | − | 0.691820i | ||||
\(663\) | 23.0574 | + | 26.9122i | 0.895475 | + | 1.04518i | ||||
\(664\) | 0.940520i | 0.0364992i | ||||||||
\(665\) | −13.6649 | − | 5.03228i | −0.529901 | − | 0.195143i | ||||
\(666\) | −0.369230 | + | 0.417055i | −0.0143074 | + | 0.0161606i | ||||
\(667\) | 0.0927216 | + | 0.160599i | 0.00359020 | + | 0.00621840i | ||||
\(668\) | 12.9034 | + | 7.44977i | 0.499247 | + | 0.288240i | ||||
\(669\) | −9.99700 | + | 8.16508i | −0.386506 | + | 0.315680i | ||||
\(670\) | 1.49076 | + | 2.58207i | 0.0575930 | + | 0.0997540i | ||||
\(671\) | − | 88.0461i | − | 3.39898i | ||||||
\(672\) | 1.49371 | + | 4.33230i | 0.0576212 | + | 0.167122i | ||||
\(673\) | −16.4797 | −0.635248 | −0.317624 | − | 0.948217i | \(-0.602885\pi\) | ||||
−0.317624 | + | 0.948217i | \(0.602885\pi\) | |||||||
\(674\) | 1.02820 | + | 1.78090i | 0.0396049 | + | 0.0685977i | ||||
\(675\) | 15.5764 | + | 0.619890i | 0.599535 | + | 0.0238596i | ||||
\(676\) | 7.02253 | + | 10.9400i | 0.270097 | + | 0.420770i | ||||
\(677\) | −9.07040 | − | 15.7104i | −0.348604 | − | 0.603800i | 0.637398 | − | 0.770535i | \(-0.280011\pi\) |
−0.986002 | + | 0.166735i | \(0.946677\pi\) | |||||||
\(678\) | 5.19330 | − | 13.7005i | 0.199448 | − | 0.526165i | ||||
\(679\) | −25.0374 | + | 4.31710i | −0.960847 | + | 0.165675i | ||||
\(680\) | 16.0507i | 0.615515i | ||||||||
\(681\) | −5.88336 | + | 0.957147i | −0.225451 | + | 0.0366780i | ||||
\(682\) | 26.1650 | − | 45.3192i | 1.00191 | − | 1.73536i | ||||
\(683\) | 8.00820 | − | 13.8706i | 0.306425 | − | 0.530744i | −0.671152 | − | 0.741319i | \(-0.734200\pi\) |
0.977578 | + | 0.210575i | \(0.0675337\pi\) | |||||||
\(684\) | 1.16580 | − | 5.72019i | 0.0445753 | − | 0.218717i | ||||
\(685\) | − | 16.2311i | − | 0.620158i | ||||||
\(686\) | 15.9328 | + | 9.44169i | 0.608318 | + | 0.360485i | ||||
\(687\) | 37.7158 | + | 14.2965i | 1.43895 | + | 0.545446i | ||||
\(688\) | −1.74089 | − | 3.01530i | −0.0663707 | − | 0.114957i | ||||
\(689\) | −15.7301 | + | 0.370276i | −0.599271 | + | 0.0141064i | ||||
\(690\) | 10.6840 | − | 8.72615i | 0.406731 | − | 0.332199i | ||||
\(691\) | −7.72531 | − | 13.3806i | −0.293885 | − | 0.509023i | 0.680840 | − | 0.732432i | \(-0.261615\pi\) |
−0.974725 | + | 0.223409i | \(0.928282\pi\) | |||||||
\(692\) | 11.7147 | 0.445327 | ||||||||
\(693\) | −40.1865 | − | 24.8548i | −1.52656 | − | 0.944156i | ||||
\(694\) | − | 12.3305i | − | 0.468060i | ||||||
\(695\) | 11.5528 | + | 20.0101i | 0.438223 | + | 0.759025i | ||||
\(696\) | 0.0721572 | + | 0.0883464i | 0.00273511 | + | 0.00334876i | ||||
\(697\) | −19.8975 | − | 11.4879i | −0.753673 | − | 0.435133i | ||||
\(698\) | 15.6457 | + | 27.0992i | 0.592200 | + | 1.02572i | ||||
\(699\) | 8.17081 | − | 21.5555i | 0.309048 | − | 0.815304i | ||||
\(700\) | −5.07900 | − | 6.09966i | −0.191968 | − | 0.230546i | ||||
\(701\) | − | 12.6204i | − | 0.476664i | −0.971184 | − | 0.238332i | \(-0.923399\pi\) | ||
0.971184 | − | 0.238332i | \(-0.0766007\pi\) | |||||||
\(702\) | 0.304259 | − | 18.7325i | 0.0114835 | − | 0.707014i | ||||
\(703\) | −0.312898 | − | 0.180652i | −0.0118012 | − | 0.00681341i | ||||
\(704\) | −2.97657 | + | 5.15557i | −0.112184 | + | 0.194308i | ||||
\(705\) | −6.15850 | − | 37.8548i | −0.231942 | − | 1.42570i | ||||
\(706\) | 4.10495i | 0.154492i | ||||||||
\(707\) | −6.06664 | + | 16.4736i | −0.228159 | + | 0.619555i | ||||
\(708\) | −8.23982 | + | 21.7376i | −0.309671 | + | 0.816948i | ||||
\(709\) | −26.7736 | + | 15.4578i | −1.00550 | + | 0.580528i | −0.909872 | − | 0.414888i | \(-0.863821\pi\) |
−0.0956324 | + | 0.995417i | \(0.530487\pi\) | |||||||
\(710\) | −15.1129 | − | 8.72543i | −0.567177 | − | 0.327460i | ||||
\(711\) | 23.7908 | − | 7.95138i | 0.892226 | − | 0.298200i | ||||
\(712\) | 4.61927 | − | 2.66694i | 0.173114 | − | 0.0999477i | ||||
\(713\) | 24.7519i | 0.926967i | ||||||||
\(714\) | −17.0528 | + | 19.6332i | −0.638184 | + | 0.734753i | ||||
\(715\) | −31.5842 | − | 51.8480i | −1.18118 | − | 1.93901i | ||||
\(716\) | 4.54314 | − | 2.62298i | 0.169785 | − | 0.0980255i | ||||
\(717\) | −0.457069 | + | 0.373312i | −0.0170695 | + | 0.0139416i | ||||
\(718\) | 12.8433 | − | 22.2452i | 0.479306 | − | 0.830183i | ||||
\(719\) | −7.90278 | − | 13.6880i | −0.294724 | − | 0.510477i | 0.680197 | − | 0.733030i | \(-0.261894\pi\) |
−0.974921 | + | 0.222553i | \(0.928561\pi\) | |||||||
\(720\) | 5.62468 | − | 6.35322i | 0.209619 | − | 0.236771i | ||||
\(721\) | 14.8617 | − | 12.3748i | 0.553478 | − | 0.460863i | ||||
\(722\) | −15.2134 | −0.566183 | ||||||||
\(723\) | −1.15589 | − | 7.10501i | −0.0429882 | − | 0.264238i | ||||
\(724\) | −2.89913 | − | 1.67381i | −0.107745 | − | 0.0622068i | ||||
\(725\) | −0.171106 | − | 0.0987883i | −0.00635473 | − | 0.00366891i | ||||
\(726\) | −6.79738 | − | 41.7819i | −0.252274 | − | 1.55067i | ||||
\(727\) | 40.5576i | 1.50420i | 0.659050 | + | 0.752099i | \(0.270959\pi\) | ||||
−0.659050 | + | 0.752099i | \(0.729041\pi\) | |||||||
\(728\) | −7.18508 | + | 6.27492i | −0.266297 | + | 0.232564i | ||||
\(729\) | −15.3155 | + | 22.2359i | −0.567240 | + | 0.823553i | ||||
\(730\) | −0.687037 | + | 0.396661i | −0.0254284 | + | 0.0146811i | ||||
\(731\) | 9.87909 | − | 17.1111i | 0.365391 | − | 0.632877i | ||||
\(732\) | 16.2045 | + | 19.8402i | 0.598937 | + | 0.733314i | ||||
\(733\) | −8.36320 | − | 14.4855i | −0.308902 | − | 0.535033i | 0.669221 | − | 0.743064i | \(-0.266628\pi\) |
−0.978122 | + | 0.208030i | \(0.933295\pi\) | |||||||
\(734\) | 15.3965i | 0.568294i | ||||||||
\(735\) | 0.714273 | − | 34.2855i | 0.0263463 | − | 1.26464i | ||||
\(736\) | − | 2.81581i | − | 0.103792i | ||||||
\(737\) | −5.43460 | + | 3.13767i | −0.200186 | + | 0.115577i | ||||
\(738\) | 3.85019 | + | 11.5199i | 0.141727 | + | 0.424054i | ||||
\(739\) | 13.4521 | + | 7.76657i | 0.494843 | + | 0.285698i | 0.726582 | − | 0.687080i | \(-0.241108\pi\) |
−0.231738 | + | 0.972778i | \(0.574441\pi\) | |||||||
\(740\) | −0.262580 | − | 0.454802i | −0.00965264 | − | 0.0167189i | ||||
\(741\) | 11.9454 | − | 2.23310i | 0.438824 | − | 0.0820349i | ||||
\(742\) | −1.96188 | − | 11.3781i | −0.0720227 | − | 0.417702i | ||||
\(743\) | −10.6415 | −0.390398 | −0.195199 | − | 0.980764i | \(-0.562535\pi\) | ||||
−0.195199 | + | 0.980764i | \(0.562535\pi\) | |||||||
\(744\) | 2.44482 | + | 15.0277i | 0.0896314 | + | 0.550943i | ||||
\(745\) | 38.0806 | + | 21.9858i | 1.39516 | + | 0.805499i | ||||
\(746\) | 14.7842 | − | 25.6070i | 0.541289 | − | 0.937540i | ||||
\(747\) | 2.76473 | + | 0.563461i | 0.101156 | + | 0.0206160i | ||||
\(748\) | −33.7826 | −1.23521 | ||||||||
\(749\) | −33.1276 | + | 27.5843i | −1.21046 | + | 1.00791i | ||||
\(750\) | 3.47280 | − | 9.16163i | 0.126809 | − | 0.334535i | ||||
\(751\) | −0.864522 | − | 1.49740i | −0.0315468 | − | 0.0546407i | 0.849821 | − | 0.527072i | \(-0.176710\pi\) |
−0.881368 | + | 0.472431i | \(0.843377\pi\) | |||||||
\(752\) | −6.77981 | − | 3.91432i | −0.247234 | − | 0.142741i | ||||
\(753\) | 32.4465 | − | 26.5007i | 1.18241 | − | 0.965741i | ||||
\(754\) | −0.113855 | + | 0.208378i | −0.00414634 | + | 0.00758868i | ||||
\(755\) | 59.3122 | 2.15859 | ||||||||
\(756\) | 13.6300 | − | 1.79542i | 0.495718 | − | 0.0652986i | ||||
\(757\) | 19.1023 | 0.694286 | 0.347143 | − | 0.937812i | \(-0.387152\pi\) | ||||
0.347143 | + | 0.937812i | \(0.387152\pi\) | |||||||
\(758\) | −12.3607 | + | 7.13646i | −0.448962 | + | 0.259208i | ||||
\(759\) | 18.3663 | + | 22.4870i | 0.666656 | + | 0.816227i | ||||
\(760\) | 4.76654 | + | 2.75197i | 0.172901 | + | 0.0998243i | ||||
\(761\) | −9.00493 | + | 5.19900i | −0.326429 | + | 0.188464i | −0.654254 | − | 0.756275i | \(-0.727017\pi\) |
0.327826 | + | 0.944738i | \(0.393684\pi\) | |||||||
\(762\) | 0.913664 | + | 0.346332i | 0.0330985 | + | 0.0125463i | ||||
\(763\) | −4.17620 | − | 1.53794i | −0.151189 | − | 0.0556772i | ||||
\(764\) | − | 14.5444i | − | 0.526196i | ||||||
\(765\) | 47.1821 | + | 9.61587i | 1.70587 | + | 0.347663i | ||||
\(766\) | −23.7432 | − | 13.7081i | −0.857876 | − | 0.495295i | ||||
\(767\) | −48.3788 | + | 1.13880i | −1.74686 | + | 0.0411197i | ||||
\(768\) | −0.278126 | − | 1.70957i | −0.0100360 | − | 0.0616890i | ||||
\(769\) | 20.6870 | 0.745993 | 0.372997 | − | 0.927833i | \(-0.378330\pi\) | ||||
0.372997 | + | 0.927833i | \(0.378330\pi\) | |||||||
\(770\) | 34.2350 | − | 28.5064i | 1.23374 | − | 1.02730i | ||||
\(771\) | −17.0265 | − | 6.45405i | −0.613194 | − | 0.232437i | ||||
\(772\) | 3.56744 | − | 2.05966i | 0.128395 | − | 0.0741289i | ||||
\(773\) | −6.95733 | − | 4.01681i | −0.250238 | − | 0.144475i | 0.369635 | − | 0.929177i | \(-0.379483\pi\) |
−0.619873 | + | 0.784702i | \(0.712816\pi\) | |||||||
\(774\) | −9.90666 | + | 3.31101i | −0.356088 | + | 0.119012i | ||||
\(775\) | −13.1857 | − | 22.8383i | −0.473645 | − | 0.820377i | ||||
\(776\) | 9.60289 | 0.344724 | ||||||||
\(777\) | 0.162009 | − | 0.835288i | 0.00581204 | − | 0.0299658i | ||||
\(778\) | 32.3824i | 1.16096i | ||||||||
\(779\) | −6.82307 | + | 3.93930i | −0.244462 | + | 0.141140i | ||||
\(780\) | 16.6595 | + | 5.87041i | 0.596507 | + | 0.210195i | ||||
\(781\) | 18.3648 | − | 31.8088i | 0.657145 | − | 1.13821i | ||||
\(782\) | 13.8382 | − | 7.98952i | 0.494855 | − | 0.285705i | ||||
\(783\) | 0.302930 | − | 0.159183i | 0.0108258 | − | 0.00568875i | ||||
\(784\) | −5.32809 | − | 4.53998i | −0.190289 | − | 0.162142i | ||||
\(785\) | −41.1003 | −1.46693 | ||||||||
\(786\) | 4.93179 | + | 30.3146i | 0.175911 | + | 1.08128i | ||||
\(787\) | 10.2024 | − | 17.6710i | 0.363675 | − | 0.629904i | −0.624887 | − | 0.780715i | \(-0.714855\pi\) |
0.988563 | + | 0.150811i | \(0.0481884\pi\) | |||||||
\(788\) | 2.15873 | − | 3.73903i | 0.0769015 | − | 0.133197i | ||||
\(789\) | 49.6172 | − | 8.07209i | 1.76642 | − | 0.287374i | ||||
\(790\) | 23.6499i | 0.841426i | ||||||||
\(791\) | 3.80294 | + | 22.0555i | 0.135217 | + | 0.784203i | ||||
\(792\) | 13.3719 | + | 11.8385i | 0.475151 | + | 0.420664i | ||||
\(793\) | −25.5686 | + | 46.7960i | −0.907969 | + | 1.66177i | ||||
\(794\) | −3.64884 | + | 6.31997i | −0.129492 | + | 0.224287i | ||||
\(795\) | −16.5581 | + | 13.5238i | −0.587254 | + | 0.479641i | ||||
\(796\) | 17.9961 | − | 10.3900i | 0.637854 | − | 0.368265i | ||||
\(797\) | −3.19379 | −0.113130 | −0.0565649 | − | 0.998399i | \(-0.518015\pi\) | ||||
−0.0565649 | + | 0.998399i | \(0.518015\pi\) | |||||||
\(798\) | 2.90666 | + | 8.43034i | 0.102895 | + | 0.298431i | ||||
\(799\) | − | 44.4256i | − | 1.57167i | ||||||
\(800\) | 1.50002 | + | 2.59812i | 0.0530339 | + | 0.0918574i | ||||
\(801\) | −5.07227 | − | 15.1764i | −0.179220 | − | 0.536233i | ||||
\(802\) | 10.5538 | − | 18.2797i | 0.372666 | − | 0.645477i | ||||
\(803\) | −0.834871 | − | 1.44604i | −0.0294620 | − | 0.0510296i | ||||
\(804\) | 0.647149 | − | 1.70725i | 0.0228232 | − | 0.0602102i | ||||
\(805\) | −7.28185 | + | 19.7735i | −0.256651 | + | 0.696924i | ||||
\(806\) | −27.0673 | + | 16.4885i | −0.953404 | + | 0.580783i | ||||
\(807\) | 6.32947 | + | 38.9058i | 0.222808 | + | 1.36955i | ||||
\(808\) | 3.31762 | − | 5.74628i | 0.116713 | − | 0.202154i | ||||
\(809\) | 15.7183 | + | 9.07497i | 0.552626 | + | 0.319059i | 0.750181 | − | 0.661233i | \(-0.229967\pi\) |
−0.197554 | + | 0.980292i | \(0.563300\pi\) | |||||||
\(810\) | −15.3060 | − | 20.3403i | −0.537799 | − | 0.714686i | ||||
\(811\) | −23.7993 | −0.835708 | −0.417854 | − | 0.908514i | \(-0.637218\pi\) | ||||
−0.417854 | + | 0.908514i | \(0.637218\pi\) | |||||||
\(812\) | −0.163508 | − | 0.0602142i | −0.00573802 | − | 0.00211310i | ||||
\(813\) | 25.0023 | + | 9.47734i | 0.876868 | + | 0.332385i | ||||
\(814\) | 0.957244 | − | 0.552665i | 0.0335514 | − | 0.0193709i | ||||
\(815\) | 1.78682 | − | 3.09486i | 0.0625895 | − | 0.108408i | ||||
\(816\) | 7.61252 | − | 6.21755i | 0.266491 | − | 0.217658i | ||||
\(817\) | −3.38764 | − | 5.86756i | −0.118518 | − | 0.205280i | ||||
\(818\) | 35.6616 | 1.24688 | ||||||||
\(819\) | 14.1410 | + | 24.8803i | 0.494127 | + | 0.869390i | ||||
\(820\) | −11.4517 | −0.399909 | ||||||||
\(821\) | −14.0903 | − | 24.4051i | −0.491755 | − | 0.851744i | 0.508200 | − | 0.861239i | \(-0.330311\pi\) |
−0.999955 | + | 0.00949494i | \(0.996978\pi\) | |||||||
\(822\) | −7.69809 | + | 6.28744i | −0.268502 | + | 0.219299i | ||||
\(823\) | −17.6636 | + | 30.5942i | −0.615714 | + | 1.06645i | 0.374545 | + | 0.927209i | \(0.377799\pi\) |
−0.990259 | + | 0.139239i | \(0.955534\pi\) | |||||||
\(824\) | −6.33025 | + | 3.65477i | −0.220525 | + | 0.127320i | ||||
\(825\) | −28.9256 | − | 10.9645i | −1.00706 | − | 0.381735i | ||||
\(826\) | −6.03384 | − | 34.9938i | −0.209944 | − | 1.21759i | ||||
\(827\) | −31.7151 | −1.10284 | −0.551421 | − | 0.834227i | \(-0.685914\pi\) | ||||
−0.551421 | + | 0.834227i | \(0.685914\pi\) | |||||||
\(828\) | −8.27729 | − | 1.68694i | −0.287656 | − | 0.0586252i | ||||
\(829\) | 19.0489 | + | 10.9979i | 0.661597 | + | 0.381973i | 0.792885 | − | 0.609371i | \(-0.208578\pi\) |
−0.131288 | + | 0.991344i | \(0.541911\pi\) | |||||||
\(830\) | −1.33010 | + | 2.30380i | −0.0461684 | + | 0.0799661i | ||||
\(831\) | 6.55265 | + | 40.2776i | 0.227309 | + | 1.39721i | ||||
\(832\) | 3.07921 | − | 1.87576i | 0.106752 | − | 0.0650302i | ||||
\(833\) | 7.19386 | − | 39.0664i | 0.249253 | − | 1.35357i | ||||
\(834\) | 5.01517 | − | 13.2306i | 0.173661 | − | 0.458137i | ||||
\(835\) | 21.0712 | + | 36.4964i | 0.729199 | + | 1.26301i | ||||
\(836\) | −5.79219 | + | 10.0324i | −0.200327 | + | 0.346977i | ||||
\(837\) | 45.6398 | + | 1.81631i | 1.57754 | + | 0.0627810i | ||||
\(838\) | −13.2226 | − | 22.9022i | −0.456767 | − | 0.791143i | ||||
\(839\) | − | 14.3301i | − | 0.494731i | −0.968922 | − | 0.247366i | \(-0.920435\pi\) | ||
0.968922 | − | 0.247366i | \(-0.0795649\pi\) | |||||||
\(840\) | −2.46797 | + | 12.7244i | −0.0851531 | + | 0.439033i | ||||
\(841\) | 28.9957 | 0.999850 | ||||||||
\(842\) | 12.7625 | − | 7.36842i | 0.439824 | − | 0.253933i | ||||
\(843\) | −3.47863 | + | 2.84118i | −0.119810 | + | 0.0978554i | ||||
\(844\) | −3.97607 | + | 6.88675i | −0.136862 | + | 0.237052i | ||||
\(845\) | 1.73010 | + | 36.7289i | 0.0595174 | + | 1.26351i | ||||
\(846\) | −15.5682 | + | 17.5847i | −0.535245 | + | 0.604574i | ||||
\(847\) | 41.3761 | + | 49.6909i | 1.42170 | + | 1.70740i | ||||
\(848\) | 4.36396i | 0.149859i | ||||||||
\(849\) | 36.0658 | − | 5.86745i | 1.23778 | − | 0.201370i | ||||
\(850\) | −8.51226 | + | 14.7437i | −0.291968 | + | 0.505704i | ||||
\(851\) | −0.261408 | + | 0.452773i | −0.00896097 | + | 0.0155208i | ||||
\(852\) | 1.71598 | + | 10.5477i | 0.0587885 | + | 0.361359i | ||||
\(853\) | 33.9556 | 1.16262 | 0.581309 | − | 0.813683i | \(-0.302541\pi\) | ||||
0.581309 | + | 0.813683i | \(0.302541\pi\) | |||||||
\(854\) | −36.7195 | − | 13.5224i | −1.25652 | − | 0.462729i | ||||
\(855\) | 10.9452 | − | 12.3629i | 0.374319 | − | 0.422803i | ||||
\(856\) | 14.1105 | − | 8.14672i | 0.482288 | − | 0.278449i | ||||
\(857\) | −3.99034 | + | 6.91148i | −0.136307 | + | 0.236092i | −0.926096 | − | 0.377288i | \(-0.876857\pi\) |
0.789789 | + | 0.613379i | \(0.210190\pi\) | |||||||
\(858\) | −12.3557 | + | 35.0641i | −0.421818 | + | 1.19707i | ||||
\(859\) | 13.2780 | − | 7.66606i | 0.453039 | − | 0.261562i | −0.256074 | − | 0.966657i | \(-0.582429\pi\) |
0.709113 | + | 0.705095i | \(0.249096\pi\) | |||||||
\(860\) | − | 9.84797i | − | 0.335813i | ||||||
\(861\) | −14.0077 | − | 12.1666i | −0.477380 | − | 0.414638i | ||||
\(862\) | 0.313960 | 0.0106935 | ||||||||
\(863\) | −11.2232 | − | 19.4391i | −0.382041 | − | 0.661714i | 0.609313 | − | 0.792930i | \(-0.291445\pi\) |
−0.991354 | + | 0.131216i | \(0.958112\pi\) | |||||||
\(864\) | −5.19204 | − | 0.206627i | −0.176637 | − | 0.00702958i | ||||
\(865\) | 28.6952 | + | 16.5672i | 0.975666 | + | 0.563301i | ||||
\(866\) | −6.28267 | + | 3.62730i | −0.213494 | + | 0.123261i | ||||
\(867\) | 24.6224 | + | 9.33333i | 0.836220 | + | 0.316977i | ||||
\(868\) | −14.8818 | − | 17.8724i | −0.505120 | − | 0.606628i | ||||
\(869\) | −49.7771 | −1.68857 | ||||||||
\(870\) | 0.0518078 | + | 0.318450i | 0.00175645 | + | 0.0107965i | ||||
\(871\) | 3.79964 | − | 0.0894407i | 0.128746 | − | 0.00303058i | ||||
\(872\) | 1.45673 | + | 0.841043i | 0.0493311 | + | 0.0284813i | ||||
\(873\) | 5.75304 | − | 28.2284i | 0.194711 | − | 0.955386i | ||||
\(874\) | − | 5.47937i | − | 0.185342i | ||||||
\(875\) | 2.54306 | + | 14.7487i | 0.0859710 | + | 0.498596i | ||||
\(876\) | 0.454266 | + | 0.172194i | 0.0153482 | + | 0.00581789i | ||||
\(877\) | −38.0125 | + | 21.9465i | −1.28359 | + | 0.741082i | −0.977503 | − | 0.210921i | \(-0.932354\pi\) |
−0.306088 | + | 0.952003i | \(0.599020\pi\) | |||||||
\(878\) | 14.6535 | + | 8.46021i | 0.494532 | + | 0.285518i | ||||
\(879\) | −14.9827 | − | 18.3443i | −0.505355 | − | 0.618736i | ||||
\(880\) | −14.5822 | + | 8.41904i | −0.491566 | + | 0.283806i | ||||
\(881\) | 22.2301 | 0.748951 | 0.374475 | − | 0.927237i | \(-0.377823\pi\) | ||||
0.374475 | + | 0.927237i | \(0.377823\pi\) | |||||||
\(882\) | −16.5376 | + | 12.9424i | −0.556851 | + | 0.435794i | ||||
\(883\) | 5.75781 | 0.193766 | 0.0968828 | − | 0.995296i | \(-0.469113\pi\) | ||||
0.0968828 | + | 0.995296i | \(0.469113\pi\) | |||||||
\(884\) | 17.9552 | + | 9.81048i | 0.603900 | + | 0.329962i | ||||
\(885\) | −50.9251 | + | 41.5932i | −1.71183 | + | 1.39814i | ||||
\(886\) | −15.1134 | − | 8.72575i | −0.507746 | − | 0.293147i | ||||
\(887\) | −17.5629 | − | 30.4199i | −0.589705 | − | 1.02140i | −0.994271 | − | 0.106890i | \(-0.965911\pi\) |
0.404566 | − | 0.914509i | \(-0.367423\pi\) | |||||||
\(888\) | −0.113988 | + | 0.300714i | −0.00382519 | + | 0.0100913i | ||||
\(889\) | −1.47084 | + | 0.253612i | −0.0493305 | + | 0.00850586i | ||||
\(890\) | 15.0865 | 0.505701 | ||||||||
\(891\) | 42.8113 | − | 32.2153i | 1.43423 | − | 1.07925i | ||||
\(892\) | −3.72613 | + | 6.45385i | −0.124760 | + | 0.216091i | ||||
\(893\) | −13.1930 | − | 7.61699i | −0.441487 | − | 0.254893i | ||||
\(894\) | −4.32383 | − | 26.5775i | −0.144610 | − | 0.888886i | ||||
\(895\) | 14.8379 | 0.495976 | ||||||||
\(896\) | 1.69297 | + | 2.03319i | 0.0565582 | + | 0.0679240i | ||||
\(897\) | −3.23136 | − | 17.2853i | −0.107892 | − | 0.577140i | ||||
\(898\) | −8.99192 | − | 15.5745i | −0.300064 | − | 0.519727i | ||||
\(899\) | −0.501352 | − | 0.289456i | −0.0167210 | − | 0.00965389i | ||||
\(900\) | 8.53602 | − | 2.85291i | 0.284534 | − | 0.0950970i | ||||
\(901\) | −21.4466 | + | 12.3822i | −0.714490 | + | 0.412511i | ||||
\(902\) | − | 24.1029i | − | 0.802537i | ||||||
\(903\) | 10.4628 | − | 12.0460i | 0.348181 | − | 0.400867i | ||||
\(904\) | − | 8.45921i | − | 0.281349i | ||||||
\(905\) | −4.73427 | − | 8.20000i | −0.157373 | − | 0.272577i | ||||
\(906\) | −22.9758 | − | 28.1306i | −0.763319 | − | 0.934578i | ||||
\(907\) | 19.1076 | − | 33.0953i | 0.634456 | − | 1.09891i | −0.352174 | − | 0.935934i | \(-0.614558\pi\) |
0.986630 | − | 0.162975i | \(-0.0521091\pi\) | |||||||
\(908\) | −2.98035 | + | 1.72071i | −0.0989065 | + | 0.0571037i | ||||
\(909\) | −14.9040 | − | 13.1950i | −0.494336 | − | 0.437649i | ||||
\(910\) | −26.4739 | + | 5.20912i | −0.877603 | + | 0.172681i | ||||
\(911\) | 24.2986i | 0.805050i | 0.915409 | + | 0.402525i | \(0.131867\pi\) | ||||
−0.915409 | + | 0.402525i | \(0.868133\pi\) | |||||||
\(912\) | −0.541213 | − | 3.32671i | −0.0179214 | − | 0.110158i | ||||
\(913\) | −4.84892 | − | 2.79952i | −0.160476 | − | 0.0926507i | ||||
\(914\) | −11.6122 | − | 6.70430i | −0.384097 | − | 0.221759i | ||||
\(915\) | 11.6346 | + | 71.5152i | 0.384628 | + | 2.36422i | ||||
\(916\) | 23.2871 | 0.769429 | ||||||||
\(917\) | −30.0201 | − | 36.0529i | −0.991353 | − | 1.19057i | ||||
\(918\) | −13.7163 | − | 26.1024i | −0.452706 | − | 0.861509i | ||||
\(919\) | −19.8864 | − | 34.4442i | −0.655990 | − | 1.13621i | −0.981645 | − | 0.190719i | \(-0.938918\pi\) |
0.325654 | − | 0.945489i | \(-0.394415\pi\) | |||||||
\(920\) | 3.98217 | − | 6.89733i | 0.131288 | − | 0.227398i | ||||
\(921\) | −17.3442 | + | 14.1659i | −0.571509 | + | 0.466782i | ||||
\(922\) | 22.5606 | − | 13.0254i | 0.742994 | − | 0.428968i | ||||
\(923\) | −18.9981 | + | 11.5730i | −0.625330 | + | 0.380931i | ||||
\(924\) | −26.7816 | − | 5.19446i | −0.881051 | − | 0.170885i | ||||
\(925\) | − | 0.557024i | − | 0.0183148i | ||||||
\(926\) | −1.95593 | + | 1.12925i | −0.0642757 | + | 0.0371096i | ||||
\(927\) | 6.95104 | + | 20.7978i | 0.228302 | + | 0.683089i | ||||
\(928\) | 0.0570345 | + | 0.0329289i | 0.00187225 | + | 0.00108094i | ||||
\(929\) | 22.9223 | − | 13.2342i | 0.752058 | − | 0.434201i | −0.0743792 | − | 0.997230i | \(-0.523698\pi\) |
0.826437 | + | 0.563029i | \(0.190364\pi\) | |||||||
\(930\) | −15.2639 | + | 40.2679i | −0.500523 | + | 1.32044i | ||||
\(931\) | −10.3681 | − | 8.83448i | −0.339800 | − | 0.289538i | ||||
\(932\) | − | 13.3092i | − | 0.435957i | ||||||
\(933\) | 4.19036 | + | 25.7572i | 0.137186 | + | 0.843252i | ||||
\(934\) | −3.10488 | + | 5.37781i | −0.101595 | + | 0.175967i | ||||
\(935\) | −82.7504 | − | 47.7759i | −2.70623 | − | 1.56244i | ||||
\(936\) | −3.66918 | − | 10.1753i | −0.119931 | − | 0.332591i | ||||
\(937\) | 31.6644i | 1.03443i | 0.855856 | + | 0.517215i | \(0.173031\pi\) | ||||
−0.855856 | + | 0.517215i | \(0.826969\pi\) | |||||||
\(938\) | 0.473894 | + | 2.74839i | 0.0154732 | + | 0.0897380i | ||||
\(939\) | −7.51475 | + | 19.8248i | −0.245235 | + | 0.646957i | ||||
\(940\) | −11.0714 | − | 19.1763i | −0.361110 | − | 0.625460i | ||||
\(941\) | 17.3083 | + | 9.99297i | 0.564236 | + | 0.325762i | 0.754844 | − | 0.655905i | \(-0.227713\pi\) |
−0.190608 | + | 0.981666i | \(0.561046\pi\) | |||||||
\(942\) | 15.9210 | + | 19.4931i | 0.518735 | + | 0.635118i | ||||
\(943\) | 5.70028 | + | 9.87317i | 0.185627 | + | 0.321515i | ||||
\(944\) | 13.4216i | 0.436835i | ||||||||
\(945\) | 35.9257 | + | 14.8779i | 1.16866 | + | 0.483978i | ||||
\(946\) | 20.7275 | 0.673909 | ||||||||
\(947\) | 3.07700 | + | 5.32952i | 0.0999891 | + | 0.173186i | 0.911680 | − | 0.410901i | \(-0.134786\pi\) |
−0.811691 | + | 0.584087i | \(0.801453\pi\) | |||||||
\(948\) | 11.2167 | − | 9.16127i | 0.364301 | − | 0.297544i | ||||
\(949\) | 0.0237984 | + | 1.01101i | 0.000772529 | + | 0.0328187i | ||||
\(950\) | 2.91894 | + | 5.05575i | 0.0947029 | + | 0.164030i | ||||
\(951\) | −23.6504 | − | 8.96488i | −0.766915 | − | 0.290706i | ||||
\(952\) | −5.18846 | + | 14.0890i | −0.168159 | + | 0.456626i | ||||
\(953\) | − | 25.6981i | − | 0.832443i | −0.909263 | − | 0.416222i | \(-0.863354\pi\) | ||
0.909263 | − | 0.416222i | \(-0.136646\pi\) | |||||||
\(954\) | 12.8282 | + | 2.61443i | 0.415328 | + | 0.0846453i | ||||
\(955\) | 20.5689 | − | 35.6264i | 0.665593 | − | 1.15284i | ||||
\(956\) | −0.170361 | + | 0.295074i | −0.00550986 | + | 0.00954336i | ||||
\(957\) | −0.670257 | + | 0.109042i | −0.0216663 | + | 0.00352484i | ||||
\(958\) | 5.75808i | 0.186035i | ||||||||
\(959\) | 5.24678 | − | 14.2473i | 0.169427 | − | 0.460071i | ||||
\(960\) | 1.73644 | − | 4.58093i | 0.0560434 | − | 0.147849i | ||||
\(961\) | −23.1349 | − | 40.0709i | −0.746288 | − | 1.29261i | ||||
\(962\) | −0.669263 | + | 0.0157540i | −0.0215779 | + | 0.000507929i | ||||
\(963\) | −15.4943 | − | 46.3596i | −0.499297 | − | 1.49392i | ||||
\(964\) | −2.07800 | − | 3.59921i | −0.0669280 | − | 0.115923i | ||||
\(965\) | 11.6512 | 0.375067 | ||||||||
\(966\) | 12.1989 | − | 4.20602i | 0.392495 | − | 0.135326i | ||||
\(967\) | − | 51.5125i | − | 1.65653i | −0.560336 | − | 0.828265i | \(-0.689328\pi\) | ||
0.560336 | − | 0.828265i | \(-0.310672\pi\) | |||||||
\(968\) | −12.2200 | − | 21.1656i | −0.392764 | − | 0.680288i | ||||
\(969\) | 14.8134 | − | 12.0989i | 0.475875 | − | 0.388673i | ||||
\(970\) | 23.5222 | + | 13.5806i | 0.755254 | + | 0.436046i | ||||
\(971\) | −16.4408 | − | 28.4764i | −0.527612 | − | 0.913851i | −0.999482 | − | 0.0321826i | \(-0.989754\pi\) |
0.471870 | − | 0.881668i | \(-0.343579\pi\) | |||||||
\(972\) | −3.71792 | + | 15.1386i | −0.119252 | + | 0.485571i | ||||
\(973\) | 3.67250 | + | 21.2990i | 0.117735 | + | 0.682814i | ||||
\(974\) | − | 31.0810i | − | 0.995899i | ||||||
\(975\) | 12.1897 | + | 14.2276i | 0.390382 | + | 0.455647i | ||||
\(976\) | 12.8084 | + | 7.39493i | 0.409987 | + | 0.236706i | ||||
\(977\) | −10.4578 | + | 18.1135i | −0.334575 | + | 0.579501i | −0.983403 | − | 0.181434i | \(-0.941926\pi\) |
0.648828 | + | 0.760935i | \(0.275259\pi\) | |||||||
\(978\) | −2.15999 | + | 0.351403i | −0.0690689 | + | 0.0112366i | ||||
\(979\) | 31.7533i | 1.01484i | ||||||||
\(980\) | −6.63061 | − | 18.6558i | −0.211807 | − | 0.595936i | ||||
\(981\) | 3.34503 | − | 3.77830i | 0.106798 | − | 0.120632i | ||||
\(982\) | 6.66097 | − | 3.84571i | 0.212560 | − | 0.122722i | ||||
\(983\) | 16.9327 | + | 9.77611i | 0.540070 | + | 0.311810i | 0.745107 | − | 0.666945i | \(-0.232398\pi\) |
−0.205037 | + | 0.978754i | \(0.565732\pi\) | |||||||
\(984\) | 4.43603 | + | 5.43130i | 0.141416 | + | 0.173144i | ||||
\(985\) | 10.5756 | − | 6.10583i | 0.336967 | − | 0.194548i | ||||
\(986\) | 0.373726i | 0.0119019i | ||||||||
\(987\) | 6.83094 | − | 35.2190i | 0.217431 | − | 1.12103i | ||||
\(988\) | 5.99192 | − | 3.65009i | 0.190628 | − | 0.116125i | ||||
\(989\) | −8.49053 | + | 4.90201i | −0.269983 | + | 0.155875i | ||||
\(990\) | 16.0123 | + | 47.9093i | 0.508903 | + | 1.52266i | ||||
\(991\) | −8.09235 | + | 14.0164i | −0.257062 | + | 0.445244i | −0.965454 | − | 0.260575i | \(-0.916088\pi\) |
0.708392 | + | 0.705820i | \(0.249421\pi\) | |||||||
\(992\) | 4.39516 | + | 7.61265i | 0.139547 | + | 0.241702i | ||||
\(993\) | −21.8558 | + | 57.6580i | −0.693572 | + | 1.82972i | ||||
\(994\) | −10.4453 | − | 12.5443i | −0.331304 | − | 0.397882i | ||||
\(995\) | 58.7751 | 1.86330 | ||||||||
\(996\) | 1.60789 | − | 0.261583i | 0.0509479 | − | 0.00828857i | ||||
\(997\) | −12.2227 | − | 7.05681i | −0.387098 | − | 0.223491i | 0.293804 | − | 0.955866i | \(-0.405079\pi\) |
−0.680902 | + | 0.732374i | \(0.738412\pi\) | |||||||
\(998\) | −4.05046 | − | 2.33853i | −0.128215 | − | 0.0740249i | ||||
\(999\) | 0.815679 | + | 0.515232i | 0.0258070 | + | 0.0163012i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 546.2.bg.a.311.4 | ✓ | 36 | |
3.2 | odd | 2 | 546.2.bg.b.311.10 | yes | 36 | ||
7.5 | odd | 6 | inner | 546.2.bg.a.467.10 | yes | 36 | |
13.12 | even | 2 | 546.2.bg.b.311.4 | yes | 36 | ||
21.5 | even | 6 | 546.2.bg.b.467.4 | yes | 36 | ||
39.38 | odd | 2 | inner | 546.2.bg.a.311.10 | yes | 36 | |
91.12 | odd | 6 | 546.2.bg.b.467.10 | yes | 36 | ||
273.194 | even | 6 | inner | 546.2.bg.a.467.4 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bg.a.311.4 | ✓ | 36 | 1.1 | even | 1 | trivial | |
546.2.bg.a.311.10 | yes | 36 | 39.38 | odd | 2 | inner | |
546.2.bg.a.467.4 | yes | 36 | 273.194 | even | 6 | inner | |
546.2.bg.a.467.10 | yes | 36 | 7.5 | odd | 6 | inner | |
546.2.bg.b.311.4 | yes | 36 | 13.12 | even | 2 | ||
546.2.bg.b.311.10 | yes | 36 | 3.2 | odd | 2 | ||
546.2.bg.b.467.4 | yes | 36 | 21.5 | even | 6 | ||
546.2.bg.b.467.10 | yes | 36 | 91.12 | odd | 6 |