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 | 467.4 | ||
Character | \(\chi\) | \(=\) | 546.467 |
Dual form | 546.2.bg.b.311.4 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 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 | \(-0.115380\pi\) |
0.160427 | + | 0.987048i | \(0.448713\pi\) | |||||||
\(6\) | −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 | 0.830718 | + | 0.556694i | \(0.187930\pi\) |
0.0667525 | + | 0.997770i | \(0.478736\pi\) | |||||||
\(12\) | −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 | 0.972431 | + | 0.233190i | \(0.0749165\pi\) |
−0.284267 | + | 0.958745i | \(0.591750\pi\) | |||||||
\(18\) | 2.84529 | + | 0.950954i | 0.670642 | + | 0.224142i | ||||
\(19\) | 0.972964 | − | 1.68522i | 0.223213 | − | 0.386617i | −0.732569 | − | 0.680693i | \(-0.761679\pi\) |
0.955782 | + | 0.294077i | \(0.0950121\pi\) | |||||||
\(20\) | − | 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 | 0.223731 | − | 0.974651i | \(-0.428176\pi\) |
−0.732207 | + | 0.681082i | \(0.761510\pi\) | |||||||
\(24\) | 1.34147 | + | 1.09565i | 0.273827 | + | 0.223649i | ||||
\(25\) | 1.50002 | + | 2.59812i | 0.300005 | + | 0.519624i | ||||
\(26\) | 0.0848486 | + | 3.60455i | 0.0166402 | + | 0.706911i | ||||
\(27\) | 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 | \(0.00194640\pi\) | ||||
−0.999981 | + | 0.00611474i | \(0.998054\pi\) | |||||||
\(30\) | −4.83542 | − | 0.786662i | −0.882823 | − | 0.143624i | ||||
\(31\) | −4.39516 | − | 7.61265i | −0.789395 | − | 1.36727i | −0.926338 | − | 0.376693i | \(-0.877061\pi\) |
0.136944 | − | 0.990579i | \(-0.456272\pi\) | |||||||
\(32\) | 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 | \(-0.338192\pi\) |
−0.513159 | + | 0.858293i | \(0.671525\pi\) | |||||||
\(38\) | −0.972964 | − | 1.68522i | −0.157836 | − | 0.273379i | ||||
\(39\) | 6.18585 | + | 0.857465i | 0.990529 | + | 0.137304i | ||||
\(40\) | −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 | \(-0.526763\pi\) |
−0.904956 | + | 0.425505i | \(0.860097\pi\) | |||||||
\(48\) | 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 | ||||
\(52\) | 3.16406 | + | 1.72880i | 0.438776 | + | 0.239741i | ||||
\(53\) | −3.77930 | + | 2.18198i | −0.519127 | + | 0.299718i | −0.736578 | − | 0.676353i | \(-0.763559\pi\) |
0.217450 | + | 0.976071i | \(0.430226\pi\) | |||||||
\(54\) | −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 | 0.513361 | − | 0.858173i | \(-0.328400\pi\) |
0.999880 | − | 0.0154976i | \(-0.00493325\pi\) | |||||||
\(60\) | −3.09898 | + | 3.79427i | −0.400077 | + | 0.489838i | ||||
\(61\) | −12.8084 | − | 7.39493i | −1.63995 | − | 0.946823i | −0.980850 | − | 0.194765i | \(-0.937606\pi\) |
−0.659096 | − | 0.752059i | \(-0.729061\pi\) | |||||||
\(62\) | −8.79033 | −1.11637 | ||||||||
\(63\) | 0.240485 | + | 7.93361i | 0.0302983 | + | 0.999541i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −10.1952 | + | 0.239989i | −1.26456 | + | 0.0297669i | ||||
\(66\) | −7.98598 | − | 6.52257i | −0.983006 | − | 0.802873i | ||||
\(67\) | −0.912896 | + | 0.527061i | −0.111528 | + | 0.0643907i | −0.554726 | − | 0.832033i | \(-0.687177\pi\) |
0.443198 | + | 0.896424i | \(0.353844\pi\) | |||||||
\(68\) | 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 | \(-0.380689\pi\) | ||||
0.366110 | + | 0.930572i | \(0.380689\pi\) | |||||||
\(72\) | −0.599095 | − | 2.93957i | −0.0706040 | − | 0.346432i | ||||
\(73\) | 0.140240 | + | 0.242904i | 0.0164139 | + | 0.0284297i | 0.874116 | − | 0.485718i | \(-0.161442\pi\) |
−0.857702 | + | 0.514147i | \(0.828108\pi\) | |||||||
\(74\) | −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 | ||||
\(78\) | 3.83551 | − | 4.92837i | 0.434286 | − | 0.558028i | ||||
\(79\) | 4.18074 | − | 7.24125i | 0.470370 | − | 0.814704i | −0.529056 | − | 0.848587i | \(-0.677454\pi\) |
0.999426 | + | 0.0338825i | \(0.0107872\pi\) | |||||||
\(80\) | −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 | \(-0.424562\pi\) |
−0.724426 | + | 0.689353i | \(0.757895\pi\) | |||||||
\(90\) | 5.62468 | + | 6.35322i | 0.592893 | + | 0.669689i | ||||
\(91\) | −8.87162 | + | 3.50632i | −0.929999 | + | 0.367562i | ||||
\(92\) | 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 | \(-0.662096\pi\) | ||||
−0.487513 | + | 0.873116i | \(0.662096\pi\) | |||||||
\(98\) | 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 | 0.982534 | − | 0.186082i | \(-0.0595790\pi\) |
−0.652419 | + | 0.757859i | \(0.726246\pi\) | |||||||
\(102\) | −7.61252 | − | 6.21755i | −0.753752 | − | 0.615629i | ||||
\(103\) | −6.33025 | − | 3.65477i | −0.623738 | − | 0.360115i | 0.154585 | − | 0.987980i | \(-0.450596\pi\) |
−0.778323 | + | 0.627864i | \(0.783929\pi\) | |||||||
\(104\) | 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 | 0.990169 | − | 0.139877i | \(-0.0446707\pi\) |
0.373947 | + | 0.927450i | \(0.378004\pi\) | |||||||
\(108\) | −5.19204 | + | 0.206627i | −0.499605 | + | 0.0198826i | ||||
\(109\) | −1.45673 | + | 0.841043i | −0.139529 | + | 0.0805573i | −0.568140 | − | 0.822932i | \(-0.692337\pi\) |
0.428610 | + | 0.903489i | \(0.359003\pi\) | |||||||
\(110\) | 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 | \(0.130257\pi\) | ||||
−0.917434 | + | 0.397888i | \(0.869743\pi\) | |||||||
\(114\) | −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 | ||||
\(117\) | −7.35866 | − | 7.92780i | −0.680309 | − | 0.732926i | ||||
\(118\) | − | 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 | ||||
\(130\) | −4.88979 | + | 8.94934i | −0.428863 | + | 0.784909i | ||||
\(131\) | 8.86611 | − | 15.3566i | 0.774636 | − | 1.34171i | −0.160363 | − | 0.987058i | \(-0.551267\pi\) |
0.934999 | − | 0.354651i | \(-0.115400\pi\) | |||||||
\(132\) | −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 | \(-0.0878334\pi\) |
−0.717032 | + | 0.697040i | \(0.754500\pi\) | |||||||
\(138\) | 4.81384 | + | 0.783151i | 0.409782 | + | 0.0666662i | ||||
\(139\) | 8.16905i | 0.692890i | 0.938070 | + | 0.346445i | \(0.112611\pi\) | ||||
−0.938070 | + | 0.346445i | \(0.887389\pi\) | |||||||
\(140\) | 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 | ||||
\(143\) | −18.8361 | − | 10.2918i | −1.57515 | − | 0.860641i | ||||
\(144\) | −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 | −0.349330 | − | 0.937000i | \(-0.613591\pi\) |
0.986131 | − | 0.165971i | \(-0.0530759\pi\) | |||||||
\(150\) | −4.02448 | − | 3.28701i | −0.328598 | − | 0.268383i | ||||
\(151\) | 18.1605 | − | 10.4850i | 1.47788 | − | 0.853256i | 0.478196 | − | 0.878253i | \(-0.341291\pi\) |
0.999688 | + | 0.0249970i | \(0.00795761\pi\) | |||||||
\(152\) | −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 | ||||||
\(156\) | −2.35034 | − | 5.78584i | −0.188178 | − | 0.463238i | ||||
\(157\) | 12.5843 | − | 7.26555i | 1.00434 | − | 0.579854i | 0.0948076 | − | 0.995496i | \(-0.469776\pi\) |
0.909528 | + | 0.415642i | \(0.136443\pi\) | |||||||
\(158\) | −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 | \(-0.317577\pi\) |
−0.456536 | + | 0.889705i | \(0.650910\pi\) | |||||||
\(164\) | −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 | −0.998075 | − | 0.0620193i | \(-0.980246\pi\) |
0.552748 | + | 0.833349i | \(0.313579\pi\) | |||||||
\(174\) | −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 | −0.660082 | − | 0.751194i | \(-0.729478\pi\) |
0.320512 | + | 0.947245i | \(0.396145\pi\) | |||||||
\(180\) | 8.31439 | − | 1.69450i | 0.619718 | − | 0.126301i | ||||
\(181\) | − | 3.34763i | − | 0.248827i | −0.992230 | − | 0.124414i | \(-0.960295\pi\) | ||
0.992230 | − | 0.124414i | \(-0.0397049\pi\) | |||||||
\(182\) | −1.39925 | + | 9.43621i | −0.103719 | + | 0.699459i | ||||
\(183\) | 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 | −0.0305177 | − | 0.999534i | \(-0.509716\pi\) |
−0.880881 | + | 0.473338i | \(0.843049\pi\) | |||||||
\(192\) | −1.34147 | − | 1.09565i | −0.0968124 | − | 0.0790718i | ||||
\(193\) | 3.56744 | − | 2.05966i | 0.256790 | − | 0.148258i | −0.366079 | − | 0.930584i | \(-0.619300\pi\) |
0.622869 | + | 0.782326i | \(0.285967\pi\) | |||||||
\(194\) | −4.80144 | + | 8.31634i | −0.344724 | + | 0.597079i | ||||
\(195\) | 13.9396 | + | 10.8485i | 0.998234 | + | 0.776877i | ||||
\(196\) | −1.26770 | − | 6.88425i | −0.0905498 | − | 0.491732i | ||||
\(197\) | 4.31746 | 0.307606 | 0.153803 | − | 0.988102i | \(-0.450848\pi\) | ||||
0.153803 | + | 0.988102i | \(0.450848\pi\) | |||||||
\(198\) | 3.56650 | + | 17.4997i | 0.253460 | + | 1.24365i | ||||
\(199\) | −17.9961 | + | 10.3900i | −1.27571 | + | 0.736530i | −0.976056 | − | 0.217519i | \(-0.930204\pi\) |
−0.299651 | + | 0.954049i | \(0.596870\pi\) | |||||||
\(200\) | −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 | ||||
\(208\) | −0.0848486 | − | 3.60455i | −0.00588319 | − | 0.249931i | ||||
\(209\) | 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 | ||||
\(221\) | −17.9552 | − | 9.81048i | −1.20780 | − | 0.659924i | ||||
\(222\) | 0.317420 | + | 0.0516401i | 0.0213038 | + | 0.00346586i | ||||
\(223\) | −7.45226 | −0.499040 | −0.249520 | − | 0.968370i | \(-0.580273\pi\) | ||||
−0.249520 | + | 0.968370i | \(0.580273\pi\) | |||||||
\(224\) | 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 | \(-0.703099\pi\) |
0.397822 | + | 0.917463i | \(0.369766\pi\) | |||||||
\(228\) | 2.61041 | + | 2.13206i | 0.172878 | + | 0.141199i | ||||
\(229\) | 11.6436 | − | 20.1673i | 0.769429 | − | 1.33269i | −0.168444 | − | 0.985711i | \(-0.553874\pi\) |
0.937873 | − | 0.346979i | \(-0.112792\pi\) | |||||||
\(230\) | −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 | 0.0724345 | − | 0.997373i | \(-0.476923\pi\) |
−0.827533 | + | 0.561417i | \(0.810257\pi\) | |||||||
\(234\) | −10.5450 | + | 2.40889i | −0.689349 | + | 0.157474i | ||||
\(235\) | −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 | \(-0.503508\pi\) | ||||
−0.0110197 | + | 0.999939i | \(0.503508\pi\) | |||||||
\(240\) | 4.83542 | + | 0.786662i | 0.312125 | + | 0.0507788i | ||||
\(241\) | 2.07800 | + | 3.59921i | 0.133856 | + | 0.231845i | 0.925160 | − | 0.379578i | \(-0.123931\pi\) |
−0.791304 | + | 0.611423i | \(0.790597\pi\) | |||||||
\(242\) | 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 | ||||
\(247\) | 0.165109 | + | 7.01420i | 0.0105056 | + | 0.446303i | ||||
\(248\) | 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 | −0.654207 | − | 0.756316i | \(-0.726997\pi\) |
0.982092 | + | 0.188402i | \(0.0603308\pi\) | |||||||
\(258\) | −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 | −0.551726 | + | 0.834025i | \(0.686031\pi\) |
−0.998150 | + | 0.0607961i | \(0.980636\pi\) | |||||||
\(264\) | −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 | 0.970591 | + | 0.240733i | \(0.0773878\pi\) |
−0.276815 | + | 0.960923i | \(0.589279\pi\) | |||||||
\(270\) | −0.584430 | − | 14.6854i | −0.0355673 | − | 0.893723i | ||||
\(271\) | 7.71867 | − | 13.3691i | 0.468876 | − | 0.812116i | −0.530491 | − | 0.847690i | \(-0.677993\pi\) |
0.999367 | + | 0.0355739i | \(0.0113259\pi\) | |||||||
\(272\) | −5.67475 | −0.344082 | ||||||||
\(273\) | 15.7427 | + | 5.01658i | 0.952794 | + | 0.303617i | ||||
\(274\) | 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 | 0.965675 | + | 0.259754i | \(0.0836416\pi\) |
−0.257884 | + | 0.966176i | \(0.583025\pi\) | |||||||
\(278\) | 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 | \(-0.524645\pi\) | ||||
−0.0773469 | + | 0.997004i | \(0.524645\pi\) | |||||||
\(282\) | 13.3837 | + | 2.17735i | 0.796985 | + | 0.129659i | ||||
\(283\) | −18.2700 | + | 10.5482i | −1.08604 | + | 0.627024i | −0.932519 | − | 0.361121i | \(-0.882394\pi\) |
−0.153519 | + | 0.988146i | \(0.549061\pi\) | |||||||
\(284\) | −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 | ||||
\(299\) | 10.1497 | − | 0.238918i | 0.586975 | − | 0.0138170i | ||||
\(300\) | −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 | \(-0.620284\pi\) | ||||
−0.368954 | + | 0.929448i | \(0.620284\pi\) | |||||||
\(308\) | 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 | 0.996620 | − | 0.0821467i | \(-0.0261776\pi\) |
−0.569451 | + | 0.822025i | \(0.692844\pi\) | |||||||
\(312\) | −6.18585 | − | 0.857465i | −0.350205 | − | 0.0485444i | ||||
\(313\) | 10.6006 | + | 6.12027i | 0.599183 | + | 0.345938i | 0.768720 | − | 0.639585i | \(-0.220894\pi\) |
−0.169537 | + | 0.985524i | \(0.554227\pi\) | |||||||
\(314\) | − | 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 | \(-0.967833\pi\) |
0.584816 | + | 0.811166i | \(0.301167\pi\) | |||||||
\(318\) | 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 | ||||
\(325\) | −9.49233 | − | 5.18647i | −0.526540 | − | 0.287694i | ||||
\(326\) | 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 | −0.950708 | − | 0.310087i | \(-0.899642\pi\) |
−0.743897 | − | 0.668294i | \(-0.767025\pi\) | |||||||
\(332\) | 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 | \(0.517838\pi\) | |||||||
\(338\) | −7.02253 | − | 10.9400i | −0.381975 | − | 0.595059i | ||||
\(339\) | 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 | −0.185194 | − | 0.982702i | \(-0.559291\pi\) |
0.758448 | + | 0.651734i | \(0.225958\pi\) | |||||||
\(348\) | −0.112589 | − | 0.0183168i | −0.00603539 | − | 0.000981882i | ||||
\(349\) | 31.2915 | 1.67500 | 0.837498 | − | 0.546441i | \(-0.184018\pi\) | ||||
0.837498 | + | 0.546441i | \(0.184018\pi\) | |||||||
\(350\) | 7.82196 | + | 1.34871i | 0.418101 | + | 0.0720916i | ||||
\(351\) | 1.18533 | + | 18.6975i | 0.0632684 | + | 0.997997i | ||||
\(352\) | −2.97657 | + | 5.15557i | −0.158652 | + | 0.274793i | ||||
\(353\) | 3.55499 | − | 2.05247i | 0.189213 | − | 0.109242i | −0.402401 | − | 0.915463i | \(-0.631824\pi\) |
0.591614 | + | 0.806221i | \(0.298491\pi\) | |||||||
\(354\) | −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 | 0.297788 | + | 0.954632i | \(0.403751\pi\) |
−0.975630 | + | 0.219424i | \(0.929582\pi\) | |||||||
\(360\) | 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 | ||||
\(364\) | 7.47238 | + | 5.92989i | 0.391659 | + | 0.310811i | ||||
\(365\) | 0.793322i | 0.0415244i | ||||||||
\(366\) | 25.2844 | + | 4.11344i | 1.32163 | + | 0.215013i | ||||
\(367\) | −13.3337 | + | 7.69823i | −0.696015 | + | 0.401844i | −0.805861 | − | 0.592104i | \(-0.798297\pi\) |
0.109847 | + | 0.993949i | \(0.464964\pi\) | |||||||
\(368\) | 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 | −0.174485 | − | 0.984660i | \(-0.555826\pi\) |
0.939983 | − | 0.341221i | \(-0.110841\pi\) | |||||||
\(374\) | 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 | \(-0.580352\pi\) |
−0.963459 | + | 0.267855i | \(0.913685\pi\) | |||||||
\(384\) | −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 | −0.996460 | − | 0.0840687i | \(-0.973208\pi\) |
−0.425424 | + | 0.904994i | \(0.639875\pi\) | |||||||
\(390\) | 16.3649 | − | 6.64778i | 0.828667 | − | 0.336624i | ||||
\(391\) | − | 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 | \(-0.774710\pi\) |
0.942945 | + | 0.332949i | \(0.108044\pi\) | |||||||
\(398\) | 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 | 0.472474 | + | 0.881345i | \(0.343361\pi\) |
−0.999504 | + | 0.0314978i | \(0.989972\pi\) | |||||||
\(402\) | 1.15495 | − | 1.41407i | 0.0576036 | − | 0.0705276i | ||||
\(403\) | 27.8131 | + | 15.1967i | 1.38547 | + | 0.757000i | ||||
\(404\) | 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 | 0.849475 | + | 0.527629i | \(0.176919\pi\) |
0.0322023 | + | 0.999481i | \(0.489748\pi\) | |||||||
\(410\) | −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 | ||||
\(416\) | −3.16406 | − | 1.72880i | −0.155131 | − | 0.0847612i | ||||
\(417\) | 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 | ||||||
\(429\) | 13.9919 | + | 34.4439i | 0.675536 | + | 1.66297i | ||||
\(430\) | 8.52859 | − | 4.92399i | 0.411285 | − | 0.237456i | ||||
\(431\) | 0.156980 | + | 0.271898i | 0.00756147 | + | 0.0130968i | 0.869781 | − | 0.493437i | \(-0.164260\pi\) |
−0.862220 | + | 0.506534i | \(0.830926\pi\) | |||||||
\(432\) | 2.77497 | + | 4.39313i | 0.133511 | + | 0.211364i | ||||
\(433\) | 7.25461i | 0.348634i | 0.984690 | + | 0.174317i | \(0.0557718\pi\) | ||||
−0.984690 | + | 0.174317i | \(0.944228\pi\) | |||||||
\(434\) | −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 | 0.107740 | − | 0.994179i | \(-0.465639\pi\) |
−0.807114 | + | 0.590395i | \(0.798972\pi\) | |||||||
\(440\) | − | 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 | 0.814039 | − | 0.580811i | \(-0.197264\pi\) |
−0.0959775 | + | 0.995384i | \(0.530598\pi\) | |||||||
\(444\) | 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 | \(-0.639499\pi\) | ||||
−0.424355 | + | 0.905496i | \(0.639499\pi\) | |||||||
\(450\) | 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 | ||||||||
\(455\) | −26.6897 | − | 3.95769i | −1.25123 | − | 0.185539i | ||||
\(456\) | 3.15162 | − | 1.19465i | 0.147588 | − | 0.0559446i | ||||
\(457\) | −11.6122 | − | 6.70430i | −0.543195 | − | 0.313614i | 0.203178 | − | 0.979142i | \(-0.434873\pi\) |
−0.746373 | + | 0.665528i | \(0.768206\pi\) | |||||||
\(458\) | −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 | −0.928879 | − | 0.370385i | \(-0.879226\pi\) |
0.785202 | + | 0.619240i | \(0.212559\pi\) | |||||||
\(468\) | −3.18635 | + | 10.3367i | −0.147289 | + | 0.477814i | ||||
\(469\) | −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 | \(-0.624672\pi\) |
0.609578 | + | 0.792726i | \(0.291339\pi\) | |||||||
\(480\) | 3.09898 | − | 3.79427i | 0.141448 | − | 0.173184i | ||||
\(481\) | 0.669263 | − | 0.0157540i | 0.0305158 | − | 0.000718319i | ||||
\(482\) | 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 | \(-0.915364\pi\) |
−0.254864 | + | 0.966977i | \(0.582031\pi\) | |||||||
\(488\) | 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 | \(-0.944475\pi\) | ||
0.984824 | − | 0.173554i | \(-0.0555253\pi\) | |||||||
\(492\) | 6.92166 | + | 1.12607i | 0.312053 | + | 0.0507670i | ||||
\(493\) | −0.323657 | + | 0.186863i | −0.0145768 | + | 0.00841590i | ||||
\(494\) | 6.15703 | + | 3.36411i | 0.277018 | + | 0.151358i | ||||
\(495\) | −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 | \(-0.366717\pi\) |
−0.587914 | + | 0.808923i | \(0.700051\pi\) | |||||||
\(500\) | −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 | ||||
\(507\) | −20.6559 | + | 8.96284i | −0.917362 | + | 0.398054i | ||||
\(508\) | −0.282065 | − | 0.488551i | −0.0125146 | − | 0.0216759i | ||||
\(509\) | 24.6547 | + | 14.2344i | 1.09280 | + | 0.630929i | 0.934321 | − | 0.356434i | \(-0.116007\pi\) |
0.158480 | + | 0.987362i | \(0.449341\pi\) | |||||||
\(510\) | −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 | ||||
\(520\) | 10.1952 | − | 0.239989i | 0.447091 | − | 0.0105242i | ||||
\(521\) | 1.14358 | + | 1.98074i | 0.0501012 | + | 0.0867779i | 0.889988 | − | 0.455983i | \(-0.150712\pi\) |
−0.839887 | + | 0.542761i | \(0.817379\pi\) | |||||||
\(522\) | −0.0626278 | + | 0.187385i | −0.00274114 | + | 0.00820160i | ||||
\(523\) | 2.06219 | + | 1.19060i | 0.0901732 | + | 0.0520615i | 0.544409 | − | 0.838820i | \(-0.316754\pi\) |
−0.454235 | + | 0.890882i | \(0.650087\pi\) | |||||||
\(524\) | −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 | \(-0.259438\pi\) |
−0.287343 | + | 0.957828i | \(0.592772\pi\) | |||||||
\(542\) | −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 | ||||||||
\(546\) | 12.2159 | − | 11.1253i | 0.522790 | − | 0.476120i | ||||
\(547\) | −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 | −0.988196 | − | 0.153195i | \(-0.951044\pi\) |
0.361427 | − | 0.932400i | \(-0.382290\pi\) | |||||||
\(558\) | −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 | 0.961819 | + | 0.273686i | \(0.0882428\pi\) |
−0.243891 | + | 0.969803i | \(0.578424\pi\) | |||||||
\(564\) | 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 | −0.330700 | − | 0.943736i | \(-0.607285\pi\) |
−0.982649 | + | 0.185473i | \(0.940618\pi\) | |||||||
\(570\) | −6.03039 | + | 7.38337i | −0.252585 | + | 0.309255i | ||||
\(571\) | −9.51154 | − | 16.4745i | −0.398046 | − | 0.689435i | 0.595439 | − | 0.803400i | \(-0.296978\pi\) |
−0.993485 | + | 0.113965i | \(0.963645\pi\) | |||||||
\(572\) | 0.505116 | + | 21.4584i | 0.0211199 | + | 0.897222i | ||||
\(573\) | 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 | \(-0.325511\pi\) |
−0.999698 | + | 0.0245722i | \(0.992178\pi\) | |||||||
\(578\) | 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 | ||||
\(585\) | −6.81339 | − | 29.8259i | −0.281699 | − | 1.23315i | ||||
\(586\) | 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 | −0.982312 | − | 0.187253i | \(-0.940042\pi\) |
−0.653322 | − | 0.757080i | \(-0.726625\pi\) | |||||||
\(594\) | 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 | ||||
\(598\) | 4.86797 | − | 8.90940i | 0.199066 | − | 0.364332i | ||||
\(599\) | 35.1898 | − | 20.3169i | 1.43782 | − | 0.830124i | 0.440119 | − | 0.897939i | \(-0.354936\pi\) |
0.997698 | + | 0.0678154i | \(0.0216029\pi\) | |||||||
\(600\) | −0.834392 | + | 5.12881i | −0.0340639 | + | 0.209383i | ||||
\(601\) | 14.9537i | 0.609973i | 0.952357 | + | 0.304986i | \(0.0986519\pi\) | ||||
−0.952357 | + | 0.304986i | \(0.901348\pi\) | |||||||
\(602\) | 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 | −0.994993 | − | 0.0999432i | \(-0.968134\pi\) |
−0.584050 | − | 0.811718i | \(-0.698533\pi\) | |||||||
\(608\) | 1.94593 | 0.0789178 | ||||||||
\(609\) | 0.227851 | − | 0.197904i | 0.00923299 | − | 0.00801949i | ||||
\(610\) | −41.8322 | −1.69373 | ||||||||
\(611\) | 28.2188 | − | 0.664250i | 1.14161 | − | 0.0268727i | ||||
\(612\) | 16.1463 | + | 5.39643i | 0.652676 | + | 0.218138i | ||||
\(613\) | −21.2198 | + | 12.2513i | −0.857062 | + | 0.494825i | −0.863027 | − | 0.505157i | \(-0.831434\pi\) |
0.00596561 | + | 0.999982i | \(0.498101\pi\) | |||||||
\(614\) | −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 | \(-0.466872\pi\) | ||||
0.103887 | + | 0.994589i | \(0.466872\pi\) | |||||||
\(618\) | 12.4962 | + | 2.03297i | 0.502671 | + | 0.0817782i | ||||
\(619\) | 23.5913 | + | 40.8613i | 0.948214 | + | 1.64235i | 0.749185 | + | 0.662360i | \(0.230445\pi\) |
0.199028 | + | 0.979994i | \(0.436221\pi\) | |||||||
\(620\) | −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 | ||||
\(624\) | −3.83551 | + | 4.92837i | −0.153543 | + | 0.197293i | ||||
\(625\) | 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 | ||||
\(637\) | −24.7071 | + | 5.15360i | −0.978931 | + | 0.204193i | ||||
\(638\) | 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 | 0.0146975 | − | 0.999892i | \(-0.495321\pi\) |
0.873281 | + | 0.487218i | \(0.161988\pi\) | |||||||
\(642\) | −27.8548 | − | 4.53163i | −1.09934 | − | 0.178849i | ||||
\(643\) | 38.3382 | 1.51191 | 0.755956 | − | 0.654622i | \(-0.227172\pi\) | ||||
0.755956 | + | 0.654622i | \(0.227172\pi\) | |||||||
\(644\) | −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 | 0.984326 | + | 0.176361i | \(0.0564326\pi\) |
−0.339430 | + | 0.940631i | \(0.610234\pi\) | |||||||
\(648\) | 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 | 0.456093 | − | 0.889932i | \(-0.349248\pi\) |
−0.542657 | + | 0.839954i | \(0.682582\pi\) | |||||||
\(654\) | 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 | \(-0.921131\pi\) | ||
0.969460 | − | 0.245248i | \(-0.0788693\pi\) | |||||||
\(660\) | −28.7860 | − | 4.68311i | −1.12049 | − | 0.182290i | ||||
\(661\) | −3.19978 | − | 5.54218i | −0.124457 | − | 0.215566i | 0.797064 | − | 0.603895i | \(-0.206386\pi\) |
−0.921521 | + | 0.388330i | \(0.873052\pi\) | |||||||
\(662\) | −30.8306 | + | 17.8001i | −1.19827 | + | 0.691820i | ||||
\(663\) | 13.3376 | + | 32.8332i | 0.517989 | + | 1.27513i | ||||
\(664\) | − | 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 | ||||
\(676\) | −12.9856 | + | 0.611682i | −0.499446 | + | 0.0235262i | ||||
\(677\) | −9.07040 | + | 15.7104i | −0.348604 | + | 0.603800i | −0.986002 | − | 0.166735i | \(-0.946677\pi\) |
0.637398 | + | 0.770535i | \(0.280011\pi\) | |||||||
\(678\) | −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 | \(-0.265800\pi\) |
−0.977578 | + | 0.210575i | \(0.932466\pi\) | |||||||
\(684\) | −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 | ||||
\(689\) | 7.54440 | − | 13.8078i | 0.287419 | − | 0.526037i | ||||
\(690\) | 10.6840 | + | 8.72615i | 0.406731 | + | 0.332199i | ||||
\(691\) | 7.72531 | − | 13.3806i | 0.293885 | − | 0.509023i | −0.680840 | − | 0.732432i | \(-0.738385\pi\) |
0.974725 | + | 0.223409i | \(0.0717185\pi\) | |||||||
\(692\) | 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 | \(0.0766007\pi\) | ||||
−0.971184 | + | 0.238332i | \(0.923399\pi\) | |||||||
\(702\) | 16.7851 | + | 8.32220i | 0.633514 | + | 0.314101i | ||||
\(703\) | −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 | \(-0.136179\pi\) |
0.0956324 | + | 0.995417i | \(0.469513\pi\) | |||||||
\(710\) | 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 | −0.974921 | − | 0.222553i | \(-0.928561\pi\) |
0.680197 | + | 0.733030i | \(0.261894\pi\) | |||||||
\(720\) | −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 | \(-0.729041\pi\) | ||
0.659050 | − | 0.752099i | \(-0.270959\pi\) | |||||||
\(728\) | 8.87162 | − | 3.50632i | 0.328804 | − | 0.129953i | ||||
\(729\) | −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 | \(-0.733372\pi\) |
0.978122 | + | 0.208030i | \(0.0667053\pi\) | |||||||
\(734\) | 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 | \(-0.758892\pi\) |
0.231738 | + | 0.972778i | \(0.425559\pi\) | |||||||
\(740\) | −0.262580 | + | 0.454802i | −0.00965264 | + | 0.0167189i | ||||
\(741\) | 7.46363 | − | 9.59025i | 0.274183 | − | 0.352307i | ||||
\(742\) | −1.96188 | + | 11.3781i | −0.0720227 | + | 0.417702i | ||||
\(743\) | 10.6415 | 0.390398 | 0.195199 | − | 0.980764i | \(-0.437465\pi\) | ||||
0.195199 | + | 0.980764i | \(0.437465\pi\) | |||||||
\(744\) | 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 | −0.881368 | − | 0.472431i | \(-0.843377\pi\) |
0.849821 | + | 0.527072i | \(0.176710\pi\) | |||||||
\(752\) | 6.77981 | − | 3.91432i | 0.247234 | − | 0.142741i | ||||
\(753\) | 32.4465 | + | 26.5007i | 1.18241 | + | 0.965741i | ||||
\(754\) | −0.237388 | + | 0.00558794i | −0.00864516 | + | 0.000203501i | ||||
\(755\) | 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 | \(-0.272983\pi\) |
−0.327826 | + | 0.944738i | \(0.606316\pi\) | |||||||
\(762\) | −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 | ||||
\(767\) | −23.2032 | + | 42.4667i | −0.837818 | + | 1.53338i | ||||
\(768\) | −0.278126 | + | 1.70957i | −0.0100360 | + | 0.0616890i | ||||
\(769\) | −20.6870 | −0.745993 | −0.372997 | − | 0.927833i | \(-0.621670\pi\) | ||||
−0.372997 | + | 0.927833i | \(0.621670\pi\) | |||||||
\(770\) | 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 | \(-0.620517\pi\) |
0.619873 | + | 0.784702i | \(0.287184\pi\) | |||||||
\(774\) | 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 | ||||
\(780\) | 2.42528 | − | 17.4963i | 0.0868391 | − | 0.626467i | ||||
\(781\) | 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 | \(-0.285145\pi\) |
−0.988563 | + | 0.150811i | \(0.951812\pi\) | |||||||
\(788\) | −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 | ||||
\(793\) | 53.3108 | − | 1.25490i | 1.89312 | − | 0.0445627i | ||||
\(794\) | −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 | −0.197554 | − | 0.980292i | \(-0.563300\pi\) |
0.750181 | + | 0.661233i | \(0.229967\pi\) | |||||||
\(810\) | −15.3060 | + | 20.3403i | −0.537799 | + | 0.714686i | ||||
\(811\) | 23.7993 | 0.835708 | 0.417854 | − | 0.908514i | \(-0.362782\pi\) | ||||
0.417854 | + | 0.908514i | \(0.362782\pi\) | |||||||
\(812\) | 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 | ||||||||
\(819\) | −15.6220 | − | 23.9782i | −0.545878 | − | 0.837865i | ||||
\(820\) | −11.4517 | −0.399909 | ||||||||
\(821\) | 14.0903 | − | 24.4051i | 0.491755 | − | 0.851744i | −0.508200 | − | 0.861239i | \(-0.669689\pi\) |
0.999955 | + | 0.00949494i | \(0.00302238\pi\) | |||||||
\(822\) | −7.69809 | − | 6.28744i | −0.268502 | − | 0.219299i | ||||
\(823\) | −17.6636 | − | 30.5942i | −0.615714 | − | 1.06645i | −0.990259 | − | 0.139239i | \(-0.955534\pi\) |
0.374545 | − | 0.927209i | \(-0.377799\pi\) | |||||||
\(824\) | 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 | \(-0.314086\pi\) | ||||
0.551421 | + | 0.834227i | \(0.314086\pi\) | |||||||
\(828\) | −8.27729 | + | 1.68694i | −0.287656 | + | 0.0586252i | ||||
\(829\) | 19.0489 | − | 10.9979i | 0.661597 | − | 0.381973i | −0.131288 | − | 0.991344i | \(-0.541911\pi\) |
0.792885 | + | 0.609371i | \(0.208578\pi\) | |||||||
\(830\) | 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 | ||||
\(845\) | 30.9431 | − | 19.8628i | 1.06448 | − | 0.683301i | ||||
\(846\) | −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 | \(-0.697459\pi\) | ||||
−0.581309 | + | 0.813683i | \(0.697459\pi\) | |||||||
\(854\) | −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 | 0.789789 | − | 0.613379i | \(-0.210190\pi\) |
−0.926096 | + | 0.377288i | \(0.876857\pi\) | |||||||
\(858\) | 36.8253 | + | 5.10461i | 1.25719 | + | 0.174269i | ||||
\(859\) | 13.2780 | + | 7.66606i | 0.453039 | + | 0.261562i | 0.709113 | − | 0.705095i | \(-0.249096\pi\) |
−0.256074 | + | 0.966657i | \(0.582429\pi\) | |||||||
\(860\) | − | 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 | \(-0.708555\pi\) |
0.991354 | + | 0.131216i | \(0.0418881\pi\) | |||||||
\(864\) | 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 | ||||
\(871\) | 1.82236 | − | 3.33530i | 0.0617483 | − | 0.113012i | ||||
\(872\) | 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 | \(-0.0676464\pi\) |
0.306088 | + | 0.952003i | \(0.400980\pi\) | |||||||
\(878\) | −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 | \(0.469113\pi\) | |||||||
\(884\) | 0.481494 | + | 20.4549i | 0.0161944 | + | 0.687974i | ||||
\(885\) | −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 | 0.404566 | + | 0.914509i | \(0.367423\pi\) |
−0.994271 | + | 0.106890i | \(0.965911\pi\) | |||||||
\(888\) | −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 | ||||
\(897\) | −13.8774 | − | 10.8001i | −0.463352 | − | 0.360604i | ||||
\(898\) | −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 | 0.986630 | + | 0.162975i | \(0.0521091\pi\) |
−0.352174 | + | 0.935934i | \(0.614558\pi\) | |||||||
\(908\) | 2.98035 | + | 1.72071i | 0.0989065 | + | 0.0571037i | ||||
\(909\) | −14.9040 | + | 13.1950i | −0.494336 | + | 0.437649i | ||||
\(910\) | −16.7723 | + | 21.1351i | −0.555997 | + | 0.700623i | ||||
\(911\) | − | 24.2986i | − | 0.805050i | −0.915409 | − | 0.402525i | \(-0.868133\pi\) | ||
0.915409 | − | 0.402525i | \(-0.131867\pi\) | |||||||
\(912\) | 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 | 0.325654 | + | 0.945489i | \(0.394415\pi\) |
−0.981645 | + | 0.190719i | \(0.938918\pi\) | |||||||
\(920\) | 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 | \(-0.476302\pi\) |
−0.826437 | + | 0.563029i | \(0.809636\pi\) | |||||||
\(930\) | 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 | ||||
\(936\) | 7.35866 | + | 7.92780i | 0.240525 | + | 0.259128i | ||||
\(937\) | − | 31.6644i | − | 1.03443i | −0.855856 | − | 0.517215i | \(-0.826969\pi\) | ||
0.855856 | − | 0.517215i | \(-0.173031\pi\) | |||||||
\(938\) | −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 | \(-0.772287\pi\) |
0.190608 | + | 0.981666i | \(0.438954\pi\) | |||||||
\(942\) | −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 | \(-0.865214\pi\) |
0.811691 | + | 0.584087i | \(0.198547\pi\) | |||||||
\(948\) | 11.2167 | + | 9.16127i | 0.364301 | + | 0.297544i | ||||
\(949\) | −0.887458 | − | 0.484894i | −0.0288081 | − | 0.0157403i | ||||
\(950\) | 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 | \(0.136646\pi\) | ||||
−0.909263 | + | 0.416222i | \(0.863354\pi\) | |||||||
\(954\) | −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 | ||||
\(962\) | 0.320988 | − | 0.587476i | 0.0103491 | − | 0.0189410i | ||||
\(963\) | −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 | 0.471870 | + | 0.881668i | \(0.343579\pi\) |
−0.999482 | + | 0.0321826i | \(0.989754\pi\) | |||||||
\(972\) | −3.71792 | − | 15.1386i | −0.119252 | − | 0.485571i | ||||
\(973\) | −3.67250 | + | 21.2990i | −0.117735 | + | 0.682814i | ||||
\(974\) | 31.0810i | 0.995899i | ||||||||
\(975\) | 7.05113 | + | 17.3578i | 0.225817 | + | 0.555894i | ||||
\(976\) | 12.8084 | − | 7.39493i | 0.409987 | − | 0.236706i | ||||
\(977\) | 10.4578 | + | 18.1135i | 0.334575 | + | 0.579501i | 0.983403 | − | 0.181434i | \(-0.0580738\pi\) |
−0.648828 | + | 0.760935i | \(0.724741\pi\) | |||||||
\(978\) | −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 | \(-0.767602\pi\) |
0.205037 | + | 0.978754i | \(0.434268\pi\) | |||||||
\(984\) | 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 | 0.708392 | − | 0.705820i | \(-0.249421\pi\) |
−0.965454 | + | 0.260575i | \(0.916088\pi\) | |||||||
\(992\) | 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 | −0.680902 | − | 0.732374i | \(-0.738412\pi\) |
0.293804 | + | 0.955866i | \(0.405079\pi\) | |||||||
\(998\) | −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.b.467.4 | yes | 36 | |
3.2 | odd | 2 | 546.2.bg.a.467.10 | yes | 36 | ||
7.3 | odd | 6 | inner | 546.2.bg.b.311.10 | yes | 36 | |
13.12 | even | 2 | 546.2.bg.a.467.4 | yes | 36 | ||
21.17 | even | 6 | 546.2.bg.a.311.4 | ✓ | 36 | ||
39.38 | odd | 2 | inner | 546.2.bg.b.467.10 | yes | 36 | |
91.38 | odd | 6 | 546.2.bg.a.311.10 | yes | 36 | ||
273.38 | even | 6 | inner | 546.2.bg.b.311.4 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bg.a.311.4 | ✓ | 36 | 21.17 | even | 6 | ||
546.2.bg.a.311.10 | yes | 36 | 91.38 | odd | 6 | ||
546.2.bg.a.467.4 | yes | 36 | 13.12 | even | 2 | ||
546.2.bg.a.467.10 | yes | 36 | 3.2 | odd | 2 | ||
546.2.bg.b.311.4 | yes | 36 | 273.38 | even | 6 | inner | |
546.2.bg.b.311.10 | yes | 36 | 7.3 | odd | 6 | inner | |
546.2.bg.b.467.4 | yes | 36 | 1.1 | even | 1 | trivial | |
546.2.bg.b.467.10 | yes | 36 | 39.38 | odd | 2 | inner |