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 | 311.10 | ||
Character | \(\chi\) | \(=\) | 546.311 |
Dual form | 546.2.bg.a.467.10 |
$q$-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 | ||||
\(3\) | 0.278126 | − | 1.70957i | 0.160576 | − | 0.987023i | ||||
\(4\) | −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 | ||||||||
\(9\) | −2.84529 | − | 0.950954i | −0.948431 | − | 0.316985i | ||||
\(10\) | 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 | \(0.812070\pi\) | |||||||
\(12\) | 1.34147 | + | 1.09565i | 0.387250 | + | 0.316287i | ||||
\(13\) | −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 | \(0.408250\pi\) |
−0.972431 | + | 0.233190i | \(0.925083\pi\) | |||||||
\(18\) | 0.599095 | + | 2.93957i | 0.141208 | + | 0.692864i | ||||
\(19\) | 0.972964 | + | 1.68522i | 0.223213 | + | 0.386617i | 0.955782 | − | 0.294077i | \(-0.0950121\pi\) |
−0.732569 | + | 0.680693i | \(0.761679\pi\) | |||||||
\(20\) | − | 2.82844i | − | 0.632458i | ||||||
\(21\) | −0.0434094 | − | 4.58237i | −0.00947272 | − | 0.999955i | ||||
\(22\) | 5.95314 | 1.26921 | ||||||||
\(23\) | 2.43857 | − | 1.40791i | 0.508476 | − | 0.293569i | −0.223731 | − | 0.974651i | \(-0.571824\pi\) |
0.732207 | + | 0.681082i | \(0.238490\pi\) | |||||||
\(24\) | 0.278126 | − | 1.70957i | 0.0567722 | − | 0.348965i | ||||
\(25\) | 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 | \(0.998054\pi\) | |||||||
\(30\) | 3.09898 | − | 3.79427i | 0.565794 | − | 0.692735i | ||||
\(31\) | −4.39516 | + | 7.61265i | −0.789395 | + | 1.36727i | 0.136944 | + | 0.990579i | \(0.456272\pi\) |
−0.926338 | + | 0.376693i | \(0.877061\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 7.98598 | + | 6.52257i | 1.39018 | + | 1.13543i | ||||
\(34\) | 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 | −0.513159 | − | 0.858293i | \(-0.671525\pi\) |
0.486724 | + | 0.873556i | \(0.338192\pi\) | |||||||
\(38\) | 0.972964 | − | 1.68522i | 0.157836 | − | 0.273379i | ||||
\(39\) | −4.06316 | + | 4.74244i | −0.650626 | + | 0.759399i | ||||
\(40\) | −2.44950 | + | 1.41422i | −0.387300 | + | 0.223607i | ||||
\(41\) | − | 4.04876i | − | 0.632310i | −0.948707 | − | 0.316155i | \(-0.897608\pi\) | ||
0.948707 | − | 0.316155i | \(-0.102392\pi\) | |||||||
\(42\) | −3.94674 | + | 2.32878i | −0.608996 | + | 0.359338i | ||||
\(43\) | 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 | ||||
\(45\) | 8.31439 | − | 1.69450i | 1.23944 | − | 0.252602i | ||||
\(46\) | −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 | ||||||||
\(51\) | 7.61252 | + | 6.21755i | 1.06597 | + | 0.870631i | ||||
\(52\) | 3.16406 | − | 1.72880i | 0.438776 | − | 0.239741i | ||||
\(53\) | 3.77930 | + | 2.18198i | 0.519127 | + | 0.299718i | 0.736578 | − | 0.676353i | \(-0.236441\pi\) |
−0.217450 | + | 0.976071i | \(0.569774\pi\) | |||||||
\(54\) | 5.19204 | − | 0.206627i | 0.706547 | − | 0.0281183i | ||||
\(55\) | − | 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 | \(-0.671600\pi\) | |||||||
\(60\) | −4.83542 | − | 0.786662i | −0.624250 | − | 0.101558i | ||||
\(61\) | −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 | ||||||||
\(63\) | −7.84598 | − | 1.20026i | −0.988500 | − | 0.151219i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 10.1952 | + | 0.239989i | 1.26456 | + | 0.0297669i | ||||
\(66\) | 1.65572 | − | 10.1773i | 0.203806 | − | 1.25274i | ||||
\(67\) | −0.912896 | − | 0.527061i | −0.111528 | − | 0.0643907i | 0.443198 | − | 0.896424i | \(-0.353844\pi\) |
−0.554726 | + | 0.832033i | \(0.687177\pi\) | |||||||
\(68\) | −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 | \(0.619311\pi\) | |||||||
\(72\) | −2.84529 | − | 0.950954i | −0.335321 | − | 0.112071i | ||||
\(73\) | 0.140240 | − | 0.242904i | 0.0164139 | − | 0.0284297i | −0.857702 | − | 0.514147i | \(-0.828108\pi\) |
0.874116 | + | 0.485718i | \(0.161442\pi\) | |||||||
\(74\) | 0.160796 | + | 0.0928358i | 0.0186922 | + | 0.0107919i | ||||
\(75\) | −4.02448 | − | 3.28701i | −0.464707 | − | 0.379551i | ||||
\(76\) | −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 | ||||
\(81\) | 7.19137 | + | 5.41149i | 0.799041 | + | 0.601276i | ||||
\(82\) | −3.50633 | + | 2.02438i | −0.387209 | + | 0.223556i | ||||
\(83\) | 0.940520i | 0.103235i | 0.998667 | + | 0.0516177i | \(0.0164377\pi\) | ||||
−0.998667 | + | 0.0516177i | \(0.983562\pi\) | |||||||
\(84\) | 3.99015 | + | 2.25359i | 0.435361 | + | 0.245887i | ||||
\(85\) | − | 16.0507i | − | 1.74094i | ||||||
\(86\) | −1.74089 | − | 3.01530i | −0.187725 | − | 0.325149i | ||||
\(87\) | 0.112589 | + | 0.0183168i | 0.0120708 | + | 0.00196376i | ||||
\(88\) | −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 | ||||
\(91\) | −8.87162 | − | 3.50632i | −0.929999 | − | 0.367562i | ||||
\(92\) | 2.81581i | 0.293569i | ||||||||
\(93\) | 11.7920 | + | 9.63114i | 1.22277 | + | 0.998702i | ||||
\(94\) | −6.77981 | − | 3.91432i | −0.699284 | − | 0.403732i | ||||
\(95\) | −4.76654 | − | 2.75197i | −0.489037 | − | 0.282346i | ||||
\(96\) | 1.34147 | + | 1.09565i | 0.136913 | + | 0.111824i | ||||
\(97\) | −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 | \(-0.940421\pi\) |
0.652419 | + | 0.757859i | \(0.273754\pi\) | |||||||
\(102\) | 1.57830 | − | 9.70141i | 0.156275 | − | 0.960582i | ||||
\(103\) | −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 | ||||
\(105\) | 6.58680 | + | 11.1631i | 0.642806 | + | 1.08941i | ||||
\(106\) | − | 4.36396i | − | 0.423866i | ||||||
\(107\) | −14.1105 | + | 8.14672i | −1.36412 | + | 0.787573i | −0.990169 | − | 0.139877i | \(-0.955329\pi\) |
−0.373947 | + | 0.927450i | \(0.621996\pi\) | |||||||
\(108\) | −2.77497 | − | 4.39313i | −0.267021 | − | 0.422729i | ||||
\(109\) | −1.45673 | − | 0.841043i | −0.139529 | − | 0.0805573i | 0.428610 | − | 0.903489i | \(-0.359003\pi\) |
−0.568140 | + | 0.822932i | \(0.692337\pi\) | |||||||
\(110\) | −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 | \(0.869743\pi\) | |||||||
\(114\) | −2.61041 | − | 2.13206i | −0.244487 | − | 0.199686i | ||||
\(115\) | −3.98217 | + | 6.89733i | −0.371340 | + | 0.643179i | ||||
\(116\) | −0.0570345 | − | 0.0329289i | −0.00529552 | − | 0.00305737i | ||||
\(117\) | 6.97749 | + | 8.26527i | 0.645069 | + | 0.764124i | ||||
\(118\) | 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 | ||||
\(123\) | −6.92166 | − | 1.12607i | −0.624105 | − | 0.101534i | ||||
\(124\) | −4.39516 | − | 7.61265i | −0.394697 | − | 0.683636i | ||||
\(125\) | − | 5.65673i | − | 0.505953i | ||||||
\(126\) | 2.88353 | + | 7.39495i | 0.256885 | + | 0.658794i | ||||
\(127\) | 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 | ||||
\(129\) | 0.968372 | − | 5.95235i | 0.0852604 | − | 0.524075i | ||||
\(130\) | −4.88979 | − | 8.94934i | −0.428863 | − | 0.784909i | ||||
\(131\) | −8.86611 | − | 15.3566i | −0.774636 | − | 1.34171i | −0.934999 | − | 0.354651i | \(-0.884600\pi\) |
0.160363 | − | 0.987058i | \(-0.448733\pi\) | |||||||
\(132\) | −9.64170 | + | 3.65477i | −0.839202 | + | 0.318107i | ||||
\(133\) | 3.29440 | + | 3.95643i | 0.285661 | + | 0.343066i | ||||
\(134\) | 1.05412i | 0.0910622i | ||||||||
\(135\) | −0.584430 | − | 14.6854i | −0.0502997 | − | 1.26391i | ||||
\(136\) | −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 | \(0.245500\pi\) | |||||||
\(138\) | −3.08515 | + | 3.77734i | −0.262625 | + | 0.321548i | ||||
\(139\) | − | 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 | ||||
\(143\) | 18.8361 | − | 10.2918i | 1.57515 | − | 0.860641i | ||||
\(144\) | 0.599095 | + | 2.93957i | 0.0499246 | + | 0.244964i | ||||
\(145\) | −0.0931373 | − | 0.161318i | −0.00773463 | − | 0.0133968i | ||||
\(146\) | −0.280481 | −0.0232128 | ||||||||
\(147\) | −2.17324 | − | 11.9280i | −0.179246 | − | 0.983804i | ||||
\(148\) | − | 0.185672i | − | 0.0152621i | ||||||
\(149\) | −7.77314 | − | 13.4635i | −0.636801 | − | 1.10297i | −0.986131 | − | 0.165971i | \(-0.946924\pi\) |
0.349330 | − | 0.937000i | \(-0.386409\pi\) | |||||||
\(150\) | −0.834392 | + | 5.12881i | −0.0681278 | + | 0.418766i | ||||
\(151\) | 18.1605 | + | 10.4850i | 1.47788 | + | 0.853256i | 0.999688 | − | 0.0249970i | \(-0.00795761\pi\) |
0.478196 | + | 0.878253i | \(0.341291\pi\) | |||||||
\(152\) | 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 | ||||||
\(156\) | −2.07550 | − | 5.89002i | −0.166173 | − | 0.471579i | ||||
\(157\) | 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 | ||||
\(159\) | 4.78138 | − | 5.85414i | 0.379188 | − | 0.464263i | ||||
\(160\) | − | 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 | −0.456536 | − | 0.889705i | \(-0.650910\pi\) |
0.542239 | + | 0.840224i | \(0.317577\pi\) | |||||||
\(164\) | 3.50633 | + | 2.02438i | 0.273798 | + | 0.158078i | ||||
\(165\) | −28.7860 | − | 4.68311i | −2.24098 | − | 0.364580i | ||||
\(166\) | 0.814514 | − | 0.470260i | 0.0632185 | − | 0.0364992i | ||||
\(167\) | − | 14.8995i | − | 1.15296i | −0.817111 | − | 0.576480i | \(-0.804426\pi\) | ||
0.817111 | − | 0.576480i | \(-0.195574\pi\) | |||||||
\(168\) | −0.0434094 | − | 4.58237i | −0.00334911 | − | 0.353538i | ||||
\(169\) | 5.96307 | + | 11.5517i | 0.458698 | + | 0.888592i | ||||
\(170\) | −13.9003 | + | 8.02533i | −1.06610 | + | 0.615515i | ||||
\(171\) | −1.16580 | − | 5.72019i | −0.0891506 | − | 0.437434i | ||||
\(172\) | −1.74089 | + | 3.01530i | −0.132741 | + | 0.229915i | ||||
\(173\) | 5.85736 | + | 10.1453i | 0.445327 | + | 0.771329i | 0.998075 | − | 0.0620193i | \(-0.0197540\pi\) |
−0.552748 | + | 0.833349i | \(0.686421\pi\) | |||||||
\(174\) | −0.0404316 | − | 0.106663i | −0.00306511 | − | 0.00808611i | ||||
\(175\) | 2.74296 | − | 7.44837i | 0.207349 | − | 0.563044i | ||||
\(176\) | 5.95314 | 0.448735 | ||||||||
\(177\) | −14.7054 | + | 18.0047i | −1.10532 | + | 1.35331i | ||||
\(178\) | −4.61927 | − | 2.66694i | −0.346229 | − | 0.199895i | ||||
\(179\) | 4.54314 | + | 2.62298i | 0.339570 | + | 0.196051i | 0.660082 | − | 0.751194i | \(-0.270522\pi\) |
−0.320512 | + | 0.947245i | \(0.603855\pi\) | |||||||
\(180\) | −2.68971 | + | 8.04773i | −0.200479 | + | 0.599842i | ||||
\(181\) | 3.34763i | 0.248827i | 0.992230 | + | 0.124414i | \(0.0397049\pi\) | ||||
−0.992230 | + | 0.124414i | \(0.960295\pi\) | |||||||
\(182\) | 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 | ||||
\(186\) | 2.44482 | − | 15.0277i | 0.179263 | − | 1.10189i | ||||
\(187\) | −16.8913 | − | 29.2566i | −1.23521 | − | 2.13945i | ||||
\(188\) | 7.82865i | 0.570963i | ||||||||
\(189\) | −4.23411 | + | 13.0795i | −0.307986 | + | 0.951391i | ||||
\(190\) | 5.50393i | 0.399297i | ||||||||
\(191\) | 12.5958 | − | 7.27218i | 0.911399 | − | 0.526196i | 0.0305177 | − | 0.999534i | \(-0.490284\pi\) |
0.880881 | + | 0.473338i | \(0.156951\pi\) | |||||||
\(192\) | 0.278126 | − | 1.70957i | 0.0200720 | − | 0.123378i | ||||
\(193\) | 3.56744 | + | 2.05966i | 0.256790 | + | 0.148258i | 0.622869 | − | 0.782326i | \(-0.285967\pi\) |
−0.366079 | + | 0.930584i | \(0.619300\pi\) | |||||||
\(194\) | 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 | \(0.549152\pi\) | |||||||
\(198\) | −16.9384 | − | 5.66117i | −1.20376 | − | 0.402322i | ||||
\(199\) | −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 | ||||
\(201\) | −1.15495 | + | 1.41407i | −0.0814639 | + | 0.0997411i | ||||
\(202\) | 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 | ||||
\(207\) | −8.27729 | + | 1.68694i | −0.575311 | + | 0.117250i | ||||
\(208\) | −0.0848486 | + | 3.60455i | −0.00588319 | + | 0.249931i | ||||
\(209\) | −11.5844 | −0.801309 | ||||||||
\(210\) | 6.37414 | − | 11.2859i | 0.439857 | − | 0.778801i | ||||
\(211\) | 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 | ||||
\(213\) | −1.71598 | + | 10.5477i | −0.117577 | + | 0.722718i | ||||
\(214\) | 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 | ||||||||
\(219\) | −0.376257 | − | 0.307309i | −0.0254251 | − | 0.0207660i | ||||
\(220\) | 14.5822 | + | 8.41904i | 0.983132 | + | 0.567612i | ||||
\(221\) | 17.9552 | − | 9.81048i | 1.20780 | − | 0.659924i | ||||
\(222\) | 0.203431 | − | 0.249073i | 0.0136534 | − | 0.0167167i | ||||
\(223\) | −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 | \(-0.296901\pi\) |
−0.397822 | + | 0.917463i | \(0.630234\pi\) | |||||||
\(228\) | −0.541213 | + | 3.32671i | −0.0358427 | + | 0.220317i | ||||
\(229\) | 11.6436 | + | 20.1673i | 0.769429 | + | 1.33269i | 0.937873 | + | 0.346979i | \(0.112792\pi\) |
−0.168444 | + | 0.985711i | \(0.553874\pi\) | |||||||
\(230\) | 7.96435 | 0.525154 | ||||||||
\(231\) | 23.7540 | + | 13.4160i | 1.56290 | + | 0.882705i | ||||
\(232\) | 0.0658578i | 0.00432378i | ||||||||
\(233\) | 11.5261 | − | 6.65459i | 0.755099 | − | 0.435957i | −0.0724345 | − | 0.997373i | \(-0.523077\pi\) |
0.827533 | + | 0.561417i | \(0.189743\pi\) | |||||||
\(234\) | 3.66918 | − | 10.1753i | 0.239862 | − | 0.665181i | ||||
\(235\) | −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 | \(0.496492\pi\) | |||||||
\(240\) | 3.09898 | − | 3.79427i | 0.200038 | − | 0.244919i | ||||
\(241\) | 2.07800 | − | 3.59921i | 0.133856 | − | 0.231845i | −0.791304 | − | 0.611423i | \(-0.790597\pi\) |
0.925160 | + | 0.379578i | \(0.123931\pi\) | |||||||
\(242\) | −12.2200 | + | 21.1656i | −0.785528 | + | 1.36058i | ||||
\(243\) | 11.2514 | − | 10.7891i | 0.721781 | − | 0.692122i | ||||
\(244\) | − | 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 | ||||
\(249\) | 1.60789 | + | 0.261583i | 0.101896 | + | 0.0165771i | ||||
\(250\) | −4.89887 | + | 2.82837i | −0.309832 | + | 0.178882i | ||||
\(251\) | 24.1872 | 1.52668 | 0.763341 | − | 0.645995i | \(-0.223557\pi\) | ||||
0.763341 | + | 0.645995i | \(0.223557\pi\) | |||||||
\(252\) | 4.96245 | − | 6.19468i | 0.312605 | − | 0.390228i | ||||
\(253\) | 16.7629i | 1.05388i | ||||||||
\(254\) | −0.282065 | − | 0.488551i | −0.0176983 | − | 0.0306544i | ||||
\(255\) | −27.4398 | − | 4.46411i | −1.71835 | − | 0.279553i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −5.25640 | − | 9.10435i | −0.327885 | − | 0.567914i | 0.654207 | − | 0.756316i | \(-0.273003\pi\) |
−0.982092 | + | 0.188402i | \(0.939669\pi\) | |||||||
\(258\) | −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 | ||||
\(261\) | 0.0626278 | − | 0.187385i | 0.00387656 | − | 0.0115988i | ||||
\(262\) | −8.86611 | + | 15.3566i | −0.547750 | + | 0.948731i | ||||
\(263\) | 25.1348 | + | 14.5116i | 1.54988 | + | 0.894822i | 0.998150 | + | 0.0607961i | \(0.0193640\pi\) |
0.551726 | + | 0.834025i | \(0.313969\pi\) | |||||||
\(264\) | 7.98598 | + | 6.52257i | 0.491503 | + | 0.401436i | ||||
\(265\) | −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 | \(0.410721\pi\) |
−0.970591 | + | 0.240733i | \(0.922612\pi\) | |||||||
\(270\) | −12.4257 | + | 7.84881i | −0.756203 | + | 0.477663i | ||||
\(271\) | 7.71867 | + | 13.3691i | 0.468876 | + | 0.812116i | 0.999367 | − | 0.0355739i | \(-0.0113259\pi\) |
−0.530491 | + | 0.847690i | \(0.677993\pi\) | |||||||
\(272\) | 5.67475 | 0.344082 | ||||||||
\(273\) | −8.46175 | + | 14.1915i | −0.512128 | + | 0.858909i | ||||
\(274\) | 5.73854 | 0.346678 | ||||||||
\(275\) | 8.92986 | + | 15.4670i | 0.538491 | + | 0.932694i | ||||
\(276\) | 4.81384 | + | 0.783151i | 0.289759 | + | 0.0471402i | ||||
\(277\) | 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 | \(0.475355\pi\) | |||||||
\(282\) | −8.57747 | + | 10.5019i | −0.510781 | + | 0.625380i | ||||
\(283\) | −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 | ||||
\(285\) | −6.03039 | + | 7.38337i | −0.357210 | + | 0.437353i | ||||
\(286\) | −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 | ||||
\(291\) | −2.67081 | + | 16.4169i | −0.156566 | + | 0.962373i | ||||
\(292\) | 0.140240 | + | 0.242904i | 0.00820695 | + | 0.0142149i | ||||
\(293\) | 13.6747i | 0.798886i | 0.916758 | + | 0.399443i | \(0.130796\pi\) | ||||
−0.916758 | + | 0.399443i | \(0.869204\pi\) | |||||||
\(294\) | −9.24332 | + | 7.84608i | −0.539082 | + | 0.457593i | ||||
\(295\) | 37.9621 | 2.21024 | ||||||||
\(296\) | −0.160796 | + | 0.0928358i | −0.00934610 | + | 0.00539597i | ||||
\(297\) | −16.5198 | − | 26.1529i | −0.958574 | − | 1.51755i | ||||
\(298\) | −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 | ||||||
\(303\) | 8.90099 | + | 7.26991i | 0.511348 | + | 0.417645i | ||||
\(304\) | 0.972964 | − | 1.68522i | 0.0558033 | − | 0.0966542i | ||||
\(305\) | 20.9161 | − | 36.2277i | 1.19765 | − | 2.07439i | ||||
\(306\) | −16.1463 | − | 5.39643i | −0.923023 | − | 0.308493i | ||||
\(307\) | −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 | \(-0.973822\pi\) |
0.569451 | + | 0.822025i | \(0.307156\pi\) | |||||||
\(312\) | −4.06316 | + | 4.74244i | −0.230031 | + | 0.268488i | ||||
\(313\) | 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 | ||||||
\(315\) | 20.9161 | − | 8.15588i | 1.17849 | − | 0.459532i | ||||
\(316\) | −8.36148 | −0.470370 | ||||||||
\(317\) | 7.30130 | + | 12.6462i | 0.410082 | + | 0.710283i | 0.994898 | − | 0.100883i | \(-0.0321667\pi\) |
−0.584816 | + | 0.811166i | \(0.698833\pi\) | |||||||
\(318\) | −7.46052 | − | 1.21373i | −0.418365 | − | 0.0680627i | ||||
\(319\) | −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 | ||||||||
\(324\) | −8.28217 | + | 3.52217i | −0.460121 | + | 0.195676i | ||||
\(325\) | −9.49233 | + | 5.18647i | −0.526540 | + | 0.287694i | ||||
\(326\) | −1.09419 | − | 0.631733i | −0.0606018 | − | 0.0349885i | ||||
\(327\) | −1.84298 | + | 2.25647i | −0.101917 | + | 0.124783i | ||||
\(328\) | − | 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 | \(0.767025\pi\) |
−0.950708 | + | 0.310087i | \(0.899642\pi\) | |||||||
\(332\) | −0.814514 | − | 0.470260i | −0.0447023 | − | 0.0258089i | ||||
\(333\) | 0.545795 | − | 0.111235i | 0.0299094 | − | 0.00609564i | ||||
\(334\) | −12.9034 | + | 7.44977i | −0.706041 | + | 0.407633i | ||||
\(335\) | 2.98151 | 0.162898 | ||||||||
\(336\) | −3.94674 | + | 2.32878i | −0.215313 | + | 0.127045i | ||||
\(337\) | −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 | ||||
\(339\) | 14.4616 | + | 2.35273i | 0.785449 | + | 0.127783i | ||||
\(340\) | 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 | ||||||||
\(345\) | 10.6840 | + | 8.72615i | 0.575205 | + | 0.469800i | ||||
\(346\) | 5.85736 | − | 10.1453i | 0.314894 | − | 0.545412i | ||||
\(347\) | −10.6785 | − | 6.16526i | −0.573254 | − | 0.330968i | 0.185194 | − | 0.982702i | \(-0.440709\pi\) |
−0.758448 | + | 0.651734i | \(0.774042\pi\) | |||||||
\(348\) | −0.0721572 | + | 0.0883464i | −0.00386803 | + | 0.00473586i | ||||
\(349\) | 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 | ||||
\(351\) | 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 | \(0.701509\pi\) | |||||||
\(354\) | 22.9452 | + | 3.73289i | 1.21952 | + | 0.198401i | ||||
\(355\) | 15.1129 | − | 8.72543i | 0.802109 | − | 0.463098i | ||||
\(356\) | 5.33387i | 0.282695i | ||||||||
\(357\) | 22.6431 | + | 12.7886i | 1.19840 | + | 0.676843i | ||||
\(358\) | − | 5.24597i | − | 0.277258i | ||||||
\(359\) | 12.8433 | + | 22.2452i | 0.677842 | + | 1.17406i | 0.975630 | + | 0.219424i | \(0.0704178\pi\) |
−0.297788 | + | 0.954632i | \(0.596249\pi\) | |||||||
\(360\) | 8.31439 | − | 1.69450i | 0.438207 | − | 0.0893081i | ||||
\(361\) | 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 | ||||||||
\(366\) | 16.2045 | − | 19.8402i | 0.847024 | − | 1.03706i | ||||
\(367\) | −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 | ||||
\(369\) | −3.85019 | + | 11.5199i | −0.200433 | + | 0.599703i | ||||
\(370\) | −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 | ||||
\(375\) | −9.67060 | − | 1.57328i | −0.499388 | − | 0.0812440i | ||||
\(376\) | 6.77981 | − | 3.91432i | 0.349642 | − | 0.201866i | ||||
\(377\) | 0.123533 | − | 0.202790i | 0.00636229 | − | 0.0104442i | ||||
\(378\) | 13.4442 | − | 2.87288i | 0.691495 | − | 0.147765i | ||||
\(379\) | 14.2729i | 0.733151i | 0.930388 | + | 0.366576i | \(0.119470\pi\) | ||||
−0.930388 | + | 0.366576i | \(0.880530\pi\) | |||||||
\(380\) | 4.76654 | − | 2.75197i | 0.244519 | − | 0.141173i | ||||
\(381\) | 0.156899 | − | 0.964422i | 0.00803819 | − | 0.0494088i | ||||
\(382\) | −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 | ||||||
\(387\) | −9.90666 | − | 3.31101i | −0.503584 | − | 0.168308i | ||||
\(388\) | 4.80144 | − | 8.31634i | 0.243756 | − | 0.422198i | ||||
\(389\) | 28.0439 | + | 16.1912i | 1.42188 | + | 0.820925i | 0.996460 | − | 0.0840687i | \(-0.0267915\pi\) |
0.425424 | + | 0.904994i | \(0.360125\pi\) | |||||||
\(390\) | −16.6595 | + | 5.87041i | −0.843588 | + | 0.297260i | ||||
\(391\) | 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 | ||||
\(396\) | 3.56650 | + | 17.4997i | 0.179223 | + | 0.879393i | ||||
\(397\) | 3.64884 | + | 6.31997i | 0.183130 | + | 0.317190i | 0.942945 | − | 0.332949i | \(-0.108044\pi\) |
−0.759815 | + | 0.650139i | \(0.774710\pi\) | |||||||
\(398\) | 20.7801i | 1.04161i | ||||||||
\(399\) | 7.68008 | − | 4.53163i | 0.384485 | − | 0.226866i | ||||
\(400\) | −3.00005 | −0.150002 | ||||||||
\(401\) | 10.5538 | + | 18.2797i | 0.527030 | + | 0.912842i | 0.999504 | + | 0.0314978i | \(0.0100277\pi\) |
−0.472474 | + | 0.881345i | \(0.656639\pi\) | |||||||
\(402\) | 1.80210 | + | 0.293179i | 0.0898805 | + | 0.0146224i | ||||
\(403\) | 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 | ||||||
\(408\) | 7.61252 | + | 6.21755i | 0.376876 | + | 0.307814i | ||||
\(409\) | 17.8308 | − | 30.8839i | 0.881677 | − | 1.52711i | 0.0322023 | − | 0.999481i | \(-0.489748\pi\) |
0.849475 | − | 0.527629i | \(-0.176919\pi\) | |||||||
\(410\) | 5.72583 | − | 9.91743i | 0.282779 | − | 0.489787i | ||||
\(411\) | 7.69809 | + | 6.28744i | 0.379719 | + | 0.310136i | ||||
\(412\) | − | 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 | ||||
\(417\) | −13.9656 | − | 2.27203i | −0.683898 | − | 0.111262i | ||||
\(418\) | 5.79219 | + | 10.0324i | 0.283305 | + | 0.490699i | ||||
\(419\) | −26.4452 | −1.29193 | −0.645966 | − | 0.763367i | \(-0.723545\pi\) | ||||
−0.645966 | + | 0.763367i | \(0.723545\pi\) | |||||||
\(420\) | −12.9609 | + | 0.122781i | −0.632429 | + | 0.00599109i | ||||
\(421\) | − | 14.7368i | − | 0.718230i | −0.933293 | − | 0.359115i | \(-0.883079\pi\) | ||
0.933293 | − | 0.359115i | \(-0.116921\pi\) | |||||||
\(422\) | −3.97607 | − | 6.88675i | −0.193552 | − | 0.335242i | ||||
\(423\) | −23.0129 | + | 4.69011i | −1.11892 | + | 0.228041i | ||||
\(424\) | 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 | ||||||
\(429\) | −12.3557 | − | 35.0641i | −0.596541 | − | 1.69291i | ||||
\(430\) | 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 | \(0.169074\pi\) | |||||||
\(432\) | 5.19204 | − | 0.206627i | 0.249802 | − | 0.00994132i | ||||
\(433\) | − | 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 | ||||
\(438\) | −0.0780090 | + | 0.479503i | −0.00372742 | + | 0.0229115i | ||||
\(439\) | −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 | ||||||
\(441\) | −20.9962 | + | 0.397836i | −0.999821 | + | 0.0189446i | ||||
\(442\) | −17.4737 | − | 10.6445i | −0.831141 | − | 0.506305i | ||||
\(443\) | −15.1134 | + | 8.72575i | −0.718061 | + | 0.414573i | −0.814039 | − | 0.580811i | \(-0.802736\pi\) |
0.0959775 | + | 0.995384i | \(0.469402\pi\) | |||||||
\(444\) | −0.317420 | − | 0.0516401i | −0.0150641 | − | 0.00245073i | ||||
\(445\) | −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 | \(0.360501\pi\) | |||||||
\(450\) | 8.53602 | + | 2.85291i | 0.402392 | + | 0.134488i | ||||
\(451\) | 20.8737 | + | 12.0514i | 0.982904 | + | 0.567480i | ||||
\(452\) | −7.32589 | − | 4.22960i | −0.344581 | − | 0.198944i | ||||
\(453\) | 22.9758 | − | 28.1306i | 1.07950 | − | 1.32169i | ||||
\(454\) | − | 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 | −0.746373 | − | 0.665528i | \(-0.768206\pi\) |
0.203178 | + | 0.979142i | \(0.434873\pi\) | |||||||
\(458\) | 11.6436 | − | 20.1673i | 0.544068 | − | 0.942354i | ||||
\(459\) | −15.7472 | − | 24.9299i | −0.735018 | − | 1.16363i | ||||
\(460\) | −3.98217 | − | 6.89733i | −0.185670 | − | 0.321590i | ||||
\(461\) | 26.0507i | 1.21330i | 0.794968 | + | 0.606652i | \(0.207488\pi\) | ||||
−0.794968 | + | 0.606652i | \(0.792512\pi\) | |||||||
\(462\) | −0.258423 | − | 27.2795i | −0.0120229 | − | 1.26916i | ||||
\(463\) | 2.25851i | 0.104962i | 0.998622 | + | 0.0524809i | \(0.0167129\pi\) | ||||
−0.998622 | + | 0.0524809i | \(0.983287\pi\) | |||||||
\(464\) | 0.0570345 | − | 0.0329289i | 0.00264776 | − | 0.00152869i | ||||
\(465\) | −42.5049 | − | 6.91501i | −1.97112 | − | 0.320676i | ||||
\(466\) | −11.5261 | − | 6.65459i | −0.533935 | − | 0.308268i | ||||
\(467\) | 3.10488 | + | 5.37781i | 0.143677 | + | 0.248856i | 0.928879 | − | 0.370385i | \(-0.120774\pi\) |
−0.785202 | + | 0.619240i | \(0.787441\pi\) | |||||||
\(468\) | −10.6467 | + | 1.91005i | −0.492143 | + | 0.0882922i | ||||
\(469\) | −2.61712 | − | 0.963789i | −0.120847 | − | 0.0445036i | ||||
\(470\) | 22.1428 | 1.02137 | ||||||||
\(471\) | 15.9210 | − | 19.4931i | 0.733602 | − | 0.898192i | ||||
\(472\) | −11.6234 | − | 6.71079i | −0.535012 | − | 0.308889i | ||||
\(473\) | −10.3637 | + | 17.9505i | −0.476526 | + | 0.825366i | ||||
\(474\) | −11.2167 | − | 9.16127i | −0.515200 | − | 0.420791i | ||||
\(475\) | 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 | \(0.708661\pi\) | |||||||
\(480\) | −4.83542 | − | 0.786662i | −0.220706 | − | 0.0359060i | ||||
\(481\) | 0.669263 | + | 0.0157540i | 0.0305158 | + | 0.000718319i | ||||
\(482\) | −4.15601 | −0.189301 | ||||||||
\(483\) | −6.55741 | − | 11.1133i | −0.298372 | − | 0.505672i | ||||
\(484\) | 24.4399 | 1.11091 | ||||||||
\(485\) | 23.5222 | − | 13.5806i | 1.06809 | − | 0.616662i | ||||
\(486\) | −14.9694 | − | 4.34948i | −0.679024 | − | 0.197297i | ||||
\(487\) | −26.9169 | − | 15.5405i | −1.21972 | − | 0.704207i | −0.254864 | − | 0.966977i | \(-0.582031\pi\) |
−0.964858 | + | 0.262770i | \(0.915364\pi\) | |||||||
\(488\) | −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 | \(-0.0555253\pi\) | |||||||
\(492\) | 4.43603 | − | 5.43130i | 0.199992 | − | 0.244862i | ||||
\(493\) | −0.323657 | − | 0.186863i | −0.0145768 | − | 0.00841590i | ||||
\(494\) | −6.15703 | + | 3.36411i | −0.277018 | + | 0.151358i | ||||
\(495\) | −16.0123 | + | 47.9093i | −0.719697 | + | 2.15336i | ||||
\(496\) | 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 | −0.587914 | − | 0.808923i | \(-0.700051\pi\) |
0.406591 | + | 0.913610i | \(0.366717\pi\) | |||||||
\(500\) | 4.89887 | + | 2.82837i | 0.219084 | + | 0.126488i | ||||
\(501\) | −25.4719 | − | 4.14395i | −1.13800 | − | 0.185138i | ||||
\(502\) | −12.0936 | − | 20.9467i | −0.539764 | − | 0.934898i | ||||
\(503\) | 24.1876 | 1.07847 | 0.539236 | − | 0.842155i | \(-0.318713\pi\) | ||||
0.539236 | + | 0.842155i | \(0.318713\pi\) | |||||||
\(504\) | −7.84598 | − | 1.20026i | −0.349488 | − | 0.0534640i | ||||
\(505\) | − | 18.7673i | − | 0.835136i | ||||||
\(506\) | 14.5171 | − | 8.38147i | 0.645365 | − | 0.372602i | ||||
\(507\) | 21.4070 | − | 6.98148i | 0.950717 | − | 0.310059i | ||||
\(508\) | −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 | ||||||||
\(513\) | −10.1033 | + | 0.402080i | −0.446073 | + | 0.0177523i | ||||
\(514\) | −5.25640 | + | 9.10435i | −0.231850 | + | 0.401576i | ||||
\(515\) | 10.3373 | − | 17.9047i | 0.455515 | − | 0.788976i | ||||
\(516\) | 4.67070 | + | 3.81481i | 0.205616 | + | 0.167938i | ||||
\(517\) | 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 | \(-0.849288\pi\) |
0.839887 | + | 0.542761i | \(0.182621\pi\) | |||||||
\(522\) | −0.193594 | + | 0.0394551i | −0.00847337 | + | 0.00172690i | ||||
\(523\) | 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 | ||||||||
\(525\) | −11.9707 | − | 6.76089i | −0.522442 | − | 0.295069i | ||||
\(526\) | − | 29.0231i | − | 1.26547i | ||||||
\(527\) | −24.9414 | − | 43.1999i | −1.08647 | − | 1.88182i | ||||
\(528\) | 1.65572 | − | 10.1773i | 0.0720561 | − | 0.442912i | ||||
\(529\) | −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 | ||||
\(534\) | −5.84407 | + | 7.15524i | −0.252897 | + | 0.309638i | ||||
\(535\) | 23.0425 | − | 39.9107i | 0.996213 | − | 1.72549i | ||||
\(536\) | −0.912896 | − | 0.527061i | −0.0394311 | − | 0.0227655i | ||||
\(537\) | 5.74775 | − | 7.03732i | 0.248034 | − | 0.303683i | ||||
\(538\) | 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 | −0.287343 | − | 0.957828i | \(-0.592772\pi\) |
0.685832 | + | 0.727760i | \(0.259438\pi\) | |||||||
\(542\) | 7.71867 | − | 13.3691i | 0.331545 | − | 0.574253i | ||||
\(543\) | 5.72302 | + | 0.931062i | 0.245598 | + | 0.0399557i | ||||
\(544\) | −2.83737 | − | 4.91448i | −0.121651 | − | 0.210706i | ||||
\(545\) | 4.75767 | 0.203796 | ||||||||
\(546\) | 16.5211 | + | 0.232336i | 0.707037 | + | 0.00994306i | ||||
\(547\) | −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 | ||||
\(549\) | 43.4758 | − | 8.86053i | 1.85550 | − | 0.378158i | ||||
\(550\) | 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 | ||||||||
\(555\) | −0.704488 | − | 0.575393i | −0.0299039 | − | 0.0244241i | ||||
\(556\) | 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 | \(-0.0489563\pi\) | |||||||
\(558\) | −25.0110 | − | 8.35920i | −1.05880 | − | 0.353873i | ||||
\(559\) | −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 | \(0.421576\pi\) |
−0.961819 | + | 0.273686i | \(0.911757\pi\) | |||||||
\(564\) | 13.3837 | + | 2.17735i | 0.563554 | + | 0.0916830i | ||||
\(565\) | −11.9632 | − | 20.7208i | −0.503294 | − | 0.871731i | ||||
\(566\) | 21.0964i | 0.886746i | ||||||||
\(567\) | 21.1827 | + | 10.8763i | 0.889590 | + | 0.456760i | ||||
\(568\) | −6.16979 | −0.258879 | ||||||||
\(569\) | 31.3283 | − | 18.0874i | 1.31335 | − | 0.758263i | 0.330700 | − | 0.943736i | \(-0.392715\pi\) |
0.982649 | + | 0.185473i | \(0.0593819\pi\) | |||||||
\(570\) | 9.40938 | + | 1.53079i | 0.394116 | + | 0.0641176i | ||||
\(571\) | −9.51154 | + | 16.4745i | −0.398046 | + | 0.689435i | −0.993485 | − | 0.113965i | \(-0.963645\pi\) |
0.595439 | + | 0.803400i | \(0.296978\pi\) | |||||||
\(572\) | −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 | ||||||
\(576\) | −2.84529 | − | 0.950954i | −0.118554 | − | 0.0396231i | ||||
\(577\) | −11.4956 | + | 19.9110i | −0.478569 | + | 0.828906i | −0.999698 | − | 0.0245722i | \(-0.992178\pi\) |
0.521129 | + | 0.853478i | \(0.325511\pi\) | |||||||
\(578\) | −7.60139 | + | 13.1660i | −0.316176 | + | 0.547633i | ||||
\(579\) | 4.51334 | − | 5.52596i | 0.187568 | − | 0.229651i | ||||
\(580\) | 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 | ||||
\(585\) | −28.7802 | − | 10.3781i | −1.18992 | − | 0.429080i | ||||
\(586\) | 11.8427 | − | 6.83736i | 0.489215 | − | 0.282449i | ||||
\(587\) | 19.0243i | 0.785216i | 0.919706 | + | 0.392608i | \(0.128427\pi\) | ||||
−0.919706 | + | 0.392608i | \(0.871573\pi\) | |||||||
\(588\) | 11.4166 | + | 4.08191i | 0.470811 | + | 0.168335i | ||||
\(589\) | −17.1053 | −0.704813 | ||||||||
\(590\) | −18.9810 | − | 32.8761i | −0.781437 | − | 1.35349i | ||||
\(591\) | −1.20080 | + | 7.38102i | −0.0493942 | + | 0.303614i | ||||
\(592\) | 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 | ||||||||
\(597\) | −22.7677 | + | 27.8759i | −0.931820 | + | 1.14088i | ||||
\(598\) | 4.86797 | + | 8.90940i | 0.199066 | + | 0.364332i | ||||
\(599\) | −35.1898 | − | 20.3169i | −1.43782 | − | 0.830124i | −0.440119 | − | 0.897939i | \(-0.645064\pi\) |
−0.997698 | + | 0.0678154i | \(0.978397\pi\) | |||||||
\(600\) | −4.02448 | − | 3.28701i | −0.164299 | − | 0.134192i | ||||
\(601\) | − | 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 | ||||
\(606\) | 1.84543 | − | 11.3434i | 0.0749656 | − | 0.460796i | ||||
\(607\) | −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 | ||||||||
\(609\) | 0.301785 | − | 0.00285885i | 0.0122289 | − | 0.000115846i | ||||
\(610\) | −41.8322 | −1.69373 | ||||||||
\(611\) | −28.2188 | − | 0.664250i | −1.14161 | − | 0.0268727i | ||||
\(612\) | 3.39971 | + | 16.6813i | 0.137425 | + | 0.674303i | ||||
\(613\) | −21.2198 | − | 12.2513i | −0.857062 | − | 0.494825i | 0.00596561 | − | 0.999982i | \(-0.498101\pi\) |
−0.863027 | + | 0.505157i | \(0.831434\pi\) | |||||||
\(614\) | 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 | \(0.533128\pi\) | |||||||
\(618\) | 8.00871 | − | 9.80555i | 0.322158 | − | 0.394437i | ||||
\(619\) | 23.5913 | − | 40.8613i | 0.948214 | − | 1.64235i | 0.199028 | − | 0.979994i | \(-0.436221\pi\) |
0.749185 | − | 0.662360i | \(-0.230445\pi\) | |||||||
\(620\) | 21.5319 | + | 12.4314i | 0.864741 | + | 0.499259i | ||||
\(621\) | 0.581822 | + | 14.6198i | 0.0233477 | + | 0.586673i | ||||
\(622\) | 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 | ||||
\(627\) | −3.22192 | + | 19.8044i | −0.128671 | + | 0.790910i | ||||
\(628\) | −12.5843 | + | 7.26555i | −0.502168 | + | 0.289927i | ||||
\(629\) | − | 1.05364i | − | 0.0420114i | ||||||
\(630\) | −17.5213 | − | 14.0360i | −0.698064 | − | 0.559206i | ||||
\(631\) | − | 6.15939i | − | 0.245201i | −0.992456 | − | 0.122601i | \(-0.960877\pi\) | ||
0.992456 | − | 0.122601i | \(-0.0391234\pi\) | |||||||
\(632\) | 4.18074 | + | 7.24125i | 0.166301 | + | 0.288042i | ||||
\(633\) | 2.21170 | − | 13.5948i | 0.0879070 | − | 0.540344i | ||||
\(634\) | 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 | ||||||||
\(639\) | 17.5549 | + | 5.86719i | 0.694460 | + | 0.232103i | ||||
\(640\) | 2.44950 | + | 1.41422i | 0.0968249 | + | 0.0559019i | ||||
\(641\) | −22.4818 | − | 12.9799i | −0.887978 | − | 0.512674i | −0.0146975 | − | 0.999892i | \(-0.504679\pi\) |
−0.873281 | + | 0.487218i | \(0.838012\pi\) | |||||||
\(642\) | 17.8519 | − | 21.8572i | 0.704559 | − | 0.862635i | ||||
\(643\) | 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 | 0.339430 | + | 0.940631i | \(0.389766\pi\) |
−0.984326 | + | 0.176361i | \(0.943567\pi\) | |||||||
\(648\) | 7.19137 | + | 5.41149i | 0.282504 | + | 0.212583i | ||||
\(649\) | 69.1959 | − | 39.9503i | 2.71618 | − | 1.56819i | ||||
\(650\) | 9.23778 | + | 5.62737i | 0.362336 | + | 0.220723i | ||||
\(651\) | 35.0748 | + | 19.8098i | 1.37469 | + | 0.776407i | ||||
\(652\) | 1.26347i | 0.0494812i | ||||||||
\(653\) | 2.21204 | − | 1.27712i | 0.0865637 | − | 0.0499776i | −0.456093 | − | 0.889932i | \(-0.650752\pi\) |
0.542657 | + | 0.839954i | \(0.317418\pi\) | |||||||
\(654\) | 2.87565 | + | 0.467832i | 0.112447 | + | 0.0182937i | ||||
\(655\) | 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 | \(-0.0788693\pi\) | |||||||
\(660\) | 18.4487 | − | 22.5878i | 0.718114 | − | 0.879230i | ||||
\(661\) | −3.19978 | + | 5.54218i | −0.124457 | + | 0.215566i | −0.921521 | − | 0.388330i | \(-0.873052\pi\) |
0.797064 | + | 0.603895i | \(0.206386\pi\) | |||||||
\(662\) | 30.8306 | + | 17.8001i | 1.19827 | + | 0.691820i | ||||
\(663\) | −11.7779 | − | 33.4244i | −0.457417 | − | 1.29809i | ||||
\(664\) | 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 | ||||
\(669\) | −2.07267 | + | 12.7402i | −0.0801340 | + | 0.492564i | ||||
\(670\) | −1.49076 | − | 2.58207i | −0.0575930 | − | 0.0997540i | ||||
\(671\) | − | 88.0461i | − | 3.39898i | ||||||
\(672\) | 3.99015 | + | 2.25359i | 0.153924 | + | 0.0869342i | ||||
\(673\) | −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 | ||||
\(675\) | 8.32503 | + | 13.1796i | 0.320431 | + | 0.507283i | ||||
\(676\) | −12.9856 | − | 0.611682i | −0.499446 | − | 0.0235262i | ||||
\(677\) | 9.07040 | + | 15.7104i | 0.348604 | + | 0.603800i | 0.986002 | − | 0.166735i | \(-0.0533225\pi\) |
−0.637398 | + | 0.770535i | \(0.719989\pi\) | |||||||
\(678\) | −5.19330 | − | 13.7005i | −0.199448 | − | 0.526165i | ||||
\(679\) | −25.0374 | + | 4.31710i | −0.960847 | + | 0.165675i | ||||
\(680\) | − | 16.0507i | − | 0.615515i | ||||||
\(681\) | 3.77059 | − | 4.61656i | 0.144489 | − | 0.176907i | ||||
\(682\) | −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 | \(0.0675337\pi\) | |||||||
\(684\) | 5.53673 | + | 1.85049i | 0.211702 | + | 0.0707552i | ||||
\(685\) | − | 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 | ||||
\(690\) | 2.21509 | − | 13.6156i | 0.0843271 | − | 0.518339i | ||||
\(691\) | 7.72531 | + | 13.3806i | 0.293885 | + | 0.509023i | 0.974725 | − | 0.223409i | \(-0.0717185\pi\) |
−0.680840 | + | 0.732432i | \(0.738385\pi\) | |||||||
\(692\) | −11.7147 | −0.445327 | ||||||||
\(693\) | 29.5422 | − | 36.8778i | 1.12221 | − | 1.40087i | ||||
\(694\) | 12.3305i | 0.468060i | ||||||||
\(695\) | 11.5528 | + | 20.0101i | 0.438223 | + | 0.759025i | ||||
\(696\) | 0.112589 | + | 0.0183168i | 0.00426767 | + | 0.000694295i | ||||
\(697\) | 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 | \(0.923399\pi\) | |||||||
\(702\) | −16.3750 | − | 9.10277i | −0.618033 | − | 0.343562i | ||||
\(703\) | −0.312898 | − | 0.180652i | −0.0118012 | − | 0.00681341i | ||||
\(704\) | −2.97657 | + | 5.15557i | −0.112184 | + | 0.194308i | ||||
\(705\) | 29.7040 | + | 24.2608i | 1.11872 | + | 0.913716i | ||||
\(706\) | 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 | 0.0956324 | − | 0.995417i | \(-0.469513\pi\) |
0.909872 | + | 0.414888i | \(0.136179\pi\) | |||||||
\(710\) | −15.1129 | − | 8.72543i | −0.567177 | − | 0.327460i | ||||
\(711\) | −5.00932 | − | 24.5792i | −0.187864 | − | 0.921791i | ||||
\(712\) | 4.61927 | − | 2.66694i | 0.173114 | − | 0.0999477i | ||||
\(713\) | 24.7519i | 0.926967i | ||||||||
\(714\) | −0.246338 | − | 26.0038i | −0.00921896 | − | 0.973168i | ||||
\(715\) | −31.5842 | + | 51.8480i | −1.18118 | + | 1.93901i | ||||
\(716\) | −4.54314 | + | 2.62298i | −0.169785 | + | 0.0980255i | ||||
\(717\) | 0.0947636 | − | 0.582489i | 0.00353901 | − | 0.0217535i | ||||
\(718\) | 12.8433 | − | 22.2452i | 0.479306 | − | 0.830183i | ||||
\(719\) | 7.90278 | + | 13.6880i | 0.294724 | + | 0.510477i | 0.974921 | − | 0.222553i | \(-0.0714390\pi\) |
−0.680197 | + | 0.733030i | \(0.738106\pi\) | |||||||
\(720\) | −5.62468 | − | 6.35322i | −0.209619 | − | 0.236771i | ||||
\(721\) | −14.8617 | + | 12.3748i | −0.553478 | + | 0.460863i | ||||
\(722\) | −15.2134 | −0.566183 | ||||||||
\(723\) | −5.57517 | − | 4.55354i | −0.207343 | − | 0.169348i | ||||
\(724\) | −2.89913 | − | 1.67381i | −0.107745 | − | 0.0622068i | ||||
\(725\) | 0.171106 | + | 0.0987883i | 0.00635473 | + | 0.00366891i | ||||
\(726\) | 32.7855 | + | 26.7776i | 1.21678 | + | 0.993811i | ||||
\(727\) | 40.5576i | 1.50420i | 0.659050 | + | 0.752099i | \(0.270959\pi\) | ||||
−0.659050 | + | 0.752099i | \(0.729041\pi\) | |||||||
\(728\) | −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 | ||||
\(732\) | −25.2844 | − | 4.11344i | −0.934537 | − | 0.152037i | ||||
\(733\) | 8.36320 | + | 14.4855i | 0.308902 | + | 0.535033i | 0.978122 | − | 0.208030i | \(-0.0667053\pi\) |
−0.669221 | + | 0.743064i | \(0.733372\pi\) | |||||||
\(734\) | 15.3965i | 0.568294i | ||||||||
\(735\) | 22.1921 | + | 26.1441i | 0.818569 | + | 0.964341i | ||||
\(736\) | 2.81581i | 0.103792i | ||||||||
\(737\) | 5.43460 | − | 3.13767i | 0.200186 | − | 0.115577i | ||||
\(738\) | 11.9016 | − | 2.42559i | 0.438105 | − | 0.0892874i | ||||
\(739\) | −13.4521 | − | 7.76657i | −0.494843 | − | 0.285698i | 0.231738 | − | 0.972778i | \(-0.425559\pi\) |
−0.726582 | + | 0.687080i | \(0.758892\pi\) | |||||||
\(740\) | 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 | \(0.562535\pi\) | |||||||
\(744\) | 11.7920 | + | 9.63114i | 0.432315 | + | 0.353095i | ||||
\(745\) | 38.0806 | + | 21.9858i | 1.39516 | + | 0.805499i | ||||
\(746\) | 14.7842 | − | 25.6070i | 0.541289 | − | 0.937540i | ||||
\(747\) | 0.894391 | − | 2.67605i | 0.0327241 | − | 0.0979117i | ||||
\(748\) | 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 | ||||
\(753\) | 6.72709 | − | 41.3498i | 0.245149 | − | 1.50687i | ||||
\(754\) | −0.237388 | − | 0.00558794i | −0.00864516 | − | 0.000203501i | ||||
\(755\) | −59.3122 | −2.15859 | ||||||||
\(756\) | −9.21009 | − | 10.2066i | −0.334968 | − | 0.371210i | ||||
\(757\) | 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 | ||||
\(759\) | 28.6575 | + | 4.66221i | 1.04020 | + | 0.169228i | ||||
\(760\) | −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 | ||||||||
\(765\) | −15.2634 | + | 45.6688i | −0.551851 | + | 1.65116i | ||||
\(766\) | −23.7432 | − | 13.7081i | −0.857876 | − | 0.495295i | ||||
\(767\) | 23.2032 | + | 42.4667i | 0.837818 | + | 1.53338i | ||||
\(768\) | 1.34147 | + | 1.09565i | 0.0484062 | + | 0.0395359i | ||||
\(769\) | −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 | \(-0.379483\pi\) |
−0.619873 | + | 0.784702i | \(0.712816\pi\) | |||||||
\(774\) | 2.08591 | + | 10.2349i | 0.0749766 | + | 0.367887i | ||||
\(775\) | 13.1857 | + | 22.8383i | 0.473645 | + | 0.820377i | ||||
\(776\) | −9.60289 | −0.344724 | ||||||||
\(777\) | 0.432388 | + | 0.732799i | 0.0155118 | + | 0.0262890i | ||||
\(778\) | − | 32.3824i | − | 1.16096i | ||||||
\(779\) | 6.82307 | − | 3.93930i | 0.244462 | − | 0.141140i | ||||
\(780\) | 13.4137 | + | 11.4924i | 0.480287 | + | 0.411493i | ||||
\(781\) | 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 | ||||||||
\(786\) | 23.7873 | + | 19.4283i | 0.848464 | + | 0.692986i | ||||
\(787\) | −10.2024 | + | 17.6710i | −0.363675 | + | 0.629904i | −0.988563 | − | 0.150811i | \(-0.951812\pi\) |
0.624887 | + | 0.780715i | \(0.285145\pi\) | |||||||
\(788\) | 2.15873 | − | 3.73903i | 0.0769015 | − | 0.133197i | ||||
\(789\) | 31.7992 | − | 38.9337i | 1.13208 | − | 1.38608i | ||||
\(790\) | 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 | ||||
\(795\) | −3.43296 | + | 21.1016i | −0.121755 | + | 0.748397i | ||||
\(796\) | 17.9961 | − | 10.3900i | 0.637854 | − | 0.368265i | ||||
\(797\) | 3.19379 | 0.113130 | 0.0565649 | − | 0.998399i | \(-0.481985\pi\) | ||||
0.0565649 | + | 0.998399i | \(0.481985\pi\) | |||||||
\(798\) | −7.76455 | − | 4.38533i | −0.274862 | − | 0.155239i | ||||
\(799\) | 44.4256i | 1.57167i | ||||||||
\(800\) | 1.50002 | + | 2.59812i | 0.0530339 | + | 0.0918574i | ||||
\(801\) | −15.6793 | + | 3.19550i | −0.554001 | + | 0.112907i | ||||
\(802\) | 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 | ||||
\(807\) | 30.5286 | + | 24.9344i | 1.07466 | + | 0.877731i | ||||
\(808\) | −3.31762 | + | 5.74628i | −0.116713 | + | 0.202154i | ||||
\(809\) | −15.7183 | − | 9.07497i | −0.552626 | − | 0.319059i | 0.197554 | − | 0.980292i | \(-0.436700\pi\) |
−0.750181 | + | 0.661233i | \(0.770033\pi\) | |||||||
\(810\) | 9.96222 | + | 23.4256i | 0.350037 | + | 0.823091i | ||||
\(811\) | 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 | ||||
\(816\) | 1.57830 | − | 9.70141i | 0.0552514 | − | 0.339617i | ||||
\(817\) | 3.38764 | + | 5.86756i | 0.118518 | + | 0.205280i | ||||
\(818\) | −35.6616 | −1.24688 | ||||||||
\(819\) | 21.9080 | + | 18.4130i | 0.765528 | + | 0.643403i | ||||
\(820\) | −11.4517 | −0.399909 | ||||||||
\(821\) | −14.0903 | − | 24.4051i | −0.491755 | − | 0.851744i | 0.508200 | − | 0.861239i | \(-0.330311\pi\) |
−0.999955 | + | 0.00949494i | \(0.996978\pi\) | |||||||
\(822\) | 1.59604 | − | 9.81046i | 0.0556681 | − | 0.342179i | ||||
\(823\) | −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 | \(0.685914\pi\) | |||||||
\(828\) | 2.67771 | − | 8.01181i | 0.0930569 | − | 0.278430i | ||||
\(829\) | 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 | ||||
\(831\) | −31.6051 | − | 25.8135i | −1.09637 | − | 0.895462i | ||||
\(832\) | −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 | ||||
\(837\) | −24.3929 | − | 38.6170i | −0.843140 | − | 1.33480i | ||||
\(838\) | 13.2226 | + | 22.9022i | 0.456767 | + | 0.791143i | ||||
\(839\) | − | 14.3301i | − | 0.494731i | −0.968922 | − | 0.247366i | \(-0.920435\pi\) | ||
0.968922 | − | 0.247366i | \(-0.0795649\pi\) | |||||||
\(840\) | 6.58680 | + | 11.1631i | 0.227266 | + | 0.385164i | ||||
\(841\) | 28.9957 | 0.999850 | ||||||||
\(842\) | −12.7625 | + | 7.36842i | −0.439824 | + | 0.253933i | ||||
\(843\) | 0.721220 | − | 4.43317i | 0.0248401 | − | 0.152686i | ||||
\(844\) | −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 | ||||||
\(849\) | −23.1143 | + | 28.3002i | −0.793279 | + | 0.971260i | ||||
\(850\) | 8.51226 | − | 14.7437i | 0.291968 | − | 0.505704i | ||||
\(851\) | −0.261408 | + | 0.452773i | −0.00896097 | + | 0.0155208i | ||||
\(852\) | −8.27661 | − | 6.75994i | −0.283552 | − | 0.231592i | ||||
\(853\) | −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 | \(-0.789810\pi\) |
0.926096 | + | 0.377288i | \(0.123143\pi\) | |||||||
\(858\) | −24.1885 | + | 28.2324i | −0.825783 | + | 0.963840i | ||||
\(859\) | 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 | ||||||
\(861\) | −18.5529 | + | 0.175755i | −0.632282 | + | 0.00598970i | ||||
\(862\) | 0.313960 | 0.0106935 | ||||||||
\(863\) | −11.2232 | − | 19.4391i | −0.382041 | − | 0.661714i | 0.609313 | − | 0.792930i | \(-0.291445\pi\) |
−0.991354 | + | 0.131216i | \(0.958112\pi\) | |||||||
\(864\) | −2.77497 | − | 4.39313i | −0.0944062 | − | 0.149457i | ||||
\(865\) | −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 | ||||||||
\(870\) | 0.249882 | + | 0.204092i | 0.00847180 | + | 0.00691937i | ||||
\(871\) | 1.82236 | + | 3.33530i | 0.0617483 | + | 0.113012i | ||||
\(872\) | −1.45673 | − | 0.841043i | −0.0493311 | − | 0.0284813i | ||||
\(873\) | 27.3230 | + | 9.13191i | 0.924744 | + | 0.309068i | ||||
\(874\) | − | 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 | 0.306088 | − | 0.952003i | \(-0.400980\pi\) |
0.977503 | + | 0.210921i | \(0.0676464\pi\) | |||||||
\(878\) | 14.6535 | + | 8.46021i | 0.494532 | + | 0.285518i | ||||
\(879\) | 23.3780 | + | 3.80329i | 0.788519 | + | 0.128282i | ||||
\(880\) | −14.5822 | + | 8.41904i | −0.491566 | + | 0.283806i | ||||
\(881\) | −22.2301 | −0.748951 | −0.374475 | − | 0.927237i | \(-0.622177\pi\) | ||||
−0.374475 | + | 0.927237i | \(0.622177\pi\) | |||||||
\(882\) | 10.8427 | + | 17.9844i | 0.365091 | + | 0.605565i | ||||
\(883\) | 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 | ||||
\(885\) | 10.5582 | − | 64.8990i | 0.354911 | − | 2.18156i | ||||
\(886\) | 15.1134 | + | 8.72575i | 0.507746 | + | 0.293147i | ||||
\(887\) | 17.5629 | + | 30.4199i | 0.589705 | + | 1.02140i | 0.994271 | + | 0.106890i | \(0.0340894\pi\) |
−0.404566 | + | 0.914509i | \(0.632577\pi\) | |||||||
\(888\) | 0.113988 | + | 0.300714i | 0.00382519 | + | 0.0100913i | ||||
\(889\) | 1.47084 | − | 0.253612i | 0.0493305 | − | 0.00850586i | ||||
\(890\) | 15.0865 | 0.505701 | ||||||||
\(891\) | −49.3049 | + | 20.9680i | −1.65178 | + | 0.702453i | ||||
\(892\) | 3.72613 | − | 6.45385i | 0.124760 | − | 0.216091i | ||||
\(893\) | 13.1930 | + | 7.61699i | 0.441487 | + | 0.254893i | ||||
\(894\) | 20.8549 | + | 17.0333i | 0.697493 | + | 0.569679i | ||||
\(895\) | −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 | ||||
\(900\) | −1.79732 | − | 8.81886i | −0.0599105 | − | 0.293962i | ||||
\(901\) | −21.4466 | + | 12.3822i | −0.714490 | + | 0.412511i | ||||
\(902\) | − | 24.1029i | − | 0.802537i | ||||||
\(903\) | −0.151142 | − | 15.9548i | −0.00502969 | − | 0.530942i | ||||
\(904\) | 8.45921i | 0.281349i | ||||||||
\(905\) | −4.73427 | − | 8.20000i | −0.157373 | − | 0.272577i | ||||
\(906\) | −35.8497 | − | 5.83230i | −1.19103 | − | 0.193765i | ||||
\(907\) | 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 | ||||
\(910\) | −16.7723 | − | 21.1351i | −0.555997 | − | 0.700623i | ||||
\(911\) | − | 24.2986i | − | 0.805050i | −0.915409 | − | 0.402525i | \(-0.868133\pi\) | ||
0.915409 | − | 0.402525i | \(-0.131867\pi\) | |||||||
\(912\) | −2.61041 | − | 2.13206i | −0.0864392 | − | 0.0705995i | ||||
\(913\) | −4.84892 | − | 2.79952i | −0.160476 | − | 0.0926507i | ||||
\(914\) | 11.6122 | + | 6.70430i | 0.384097 | + | 0.221759i | ||||
\(915\) | −56.1167 | − | 45.8335i | −1.85516 | − | 1.51521i | ||||
\(916\) | −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 | ||||
\(921\) | −3.59595 | + | 22.1034i | −0.118490 | + | 0.728333i | ||||
\(922\) | 22.5606 | − | 13.0254i | 0.742994 | − | 0.428968i | ||||
\(923\) | 18.9981 | + | 11.5730i | 0.625330 | + | 0.380931i | ||||
\(924\) | −23.4955 | + | 13.8636i | −0.772946 | + | 0.456077i | ||||
\(925\) | 0.557024i | 0.0183148i | ||||||||
\(926\) | 1.95593 | − | 1.12925i | 0.0642757 | − | 0.0371096i | ||||
\(927\) | 21.4869 | − | 4.37911i | 0.705724 | − | 0.143829i | ||||
\(928\) | −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 | ||||||||
\(933\) | 20.2112 | + | 16.5075i | 0.661684 | + | 0.540433i | ||||
\(934\) | 3.10488 | − | 5.37781i | 0.101595 | − | 0.175967i | ||||
\(935\) | 82.7504 | + | 47.7759i | 2.70623 | + | 1.56244i | ||||
\(936\) | 6.97749 | + | 8.26527i | 0.228066 | + | 0.270159i | ||||
\(937\) | 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 | \(0.561046\pi\) | |||||||
\(942\) | −24.8420 | − | 4.04147i | −0.809396 | − | 0.131678i | ||||
\(943\) | −5.70028 | − | 9.87317i | −0.185627 | − | 0.321515i | ||||
\(944\) | 13.4216i | 0.436835i | ||||||||
\(945\) | −8.12576 | − | 38.0261i | −0.264331 | − | 1.23699i | ||||
\(946\) | 20.7275 | 0.673909 | ||||||||
\(947\) | 3.07700 | + | 5.32952i | 0.0999891 | + | 0.173186i | 0.911680 | − | 0.410901i | \(-0.134786\pi\) |
−0.811691 | + | 0.584087i | \(0.801453\pi\) | |||||||
\(948\) | −2.32554 | + | 14.2946i | −0.0755302 | + | 0.464266i | ||||
\(949\) | −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 | \(0.863354\pi\) | |||||||
\(954\) | −4.14993 | + | 12.4168i | −0.134359 | + | 0.402007i | ||||
\(955\) | −20.5689 | + | 35.6264i | −0.665593 | + | 1.15284i | ||||
\(956\) | −0.170361 | + | 0.295074i | −0.00550986 | + | 0.00954336i | ||||
\(957\) | −0.429562 | + | 0.525939i | −0.0138858 | + | 0.0170012i | ||||
\(958\) | 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 | ||||
\(963\) | 47.8957 | − | 9.76132i | 1.54342 | − | 0.314554i | ||||
\(964\) | 2.07800 | + | 3.59921i | 0.0669280 | + | 0.115923i | ||||
\(965\) | −11.6512 | −0.375067 | ||||||||
\(966\) | −6.34569 | + | 11.2355i | −0.204169 | + | 0.361497i | ||||
\(967\) | 51.5125i | 1.65653i | 0.560336 | + | 0.828265i | \(0.310672\pi\) | ||||
−0.560336 | + | 0.828265i | \(0.689328\pi\) | |||||||
\(968\) | −12.2200 | − | 21.1656i | −0.392764 | − | 0.680288i | ||||
\(969\) | −3.07125 | + | 18.8782i | −0.0986627 | + | 0.606456i | ||||
\(970\) | −23.5222 | − | 13.5806i | −0.755254 | − | 0.436046i | ||||
\(971\) | 16.4408 | + | 28.4764i | 0.527612 | + | 0.913851i | 0.999482 | + | 0.0321826i | \(0.0102458\pi\) |
−0.471870 | + | 0.881668i | \(0.656421\pi\) | |||||||
\(972\) | 3.71792 | + | 15.1386i | 0.119252 | + | 0.485571i | ||||
\(973\) | −3.67250 | − | 21.2990i | −0.117735 | − | 0.682814i | ||||
\(974\) | 31.0810i | 0.995899i | ||||||||
\(975\) | 6.22660 | + | 17.6703i | 0.199411 | + | 0.565904i | ||||
\(976\) | 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 | \(0.275259\pi\) | |||||||
\(978\) | −1.38432 | + | 1.69491i | −0.0442657 | + | 0.0541971i | ||||
\(979\) | 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 | \(0.565732\pi\) | |||||||
\(984\) | −6.92166 | − | 1.12607i | −0.220655 | − | 0.0358977i | ||||
\(985\) | 10.5756 | − | 6.10583i | 0.336967 | − | 0.194548i | ||||
\(986\) | 0.373726i | 0.0119019i | ||||||||
\(987\) | −18.2312 | − | 30.8977i | −0.580305 | − | 0.983484i | ||||
\(988\) | 5.99192 | + | 3.65009i | 0.190628 | + | 0.116125i | ||||
\(989\) | 8.49053 | − | 4.90201i | 0.269983 | − | 0.155875i | ||||
\(990\) | 49.4968 | − | 10.0876i | 1.57311 | − | 0.320605i | ||||
\(991\) | −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 | ||||||||
\(996\) | −1.03048 | + | 1.26168i | −0.0326521 | + | 0.0399779i | ||||
\(997\) | −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 | ||||
\(999\) | −0.0383647 | − | 0.964015i | −0.00121381 | − | 0.0305001i |
(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.311.10 | yes | 36 | |
3.2 | odd | 2 | 546.2.bg.b.311.4 | yes | 36 | ||
7.5 | odd | 6 | inner | 546.2.bg.a.467.4 | yes | 36 | |
13.12 | even | 2 | 546.2.bg.b.311.10 | yes | 36 | ||
21.5 | even | 6 | 546.2.bg.b.467.10 | yes | 36 | ||
39.38 | odd | 2 | inner | 546.2.bg.a.311.4 | ✓ | 36 | |
91.12 | odd | 6 | 546.2.bg.b.467.4 | yes | 36 | ||
273.194 | even | 6 | inner | 546.2.bg.a.467.10 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bg.a.311.4 | ✓ | 36 | 39.38 | odd | 2 | inner | |
546.2.bg.a.311.10 | yes | 36 | 1.1 | even | 1 | trivial | |
546.2.bg.a.467.4 | yes | 36 | 7.5 | odd | 6 | inner | |
546.2.bg.a.467.10 | yes | 36 | 273.194 | even | 6 | inner | |
546.2.bg.b.311.4 | yes | 36 | 3.2 | odd | 2 | ||
546.2.bg.b.311.10 | yes | 36 | 13.12 | even | 2 | ||
546.2.bg.b.467.4 | yes | 36 | 91.12 | odd | 6 | ||
546.2.bg.b.467.10 | yes | 36 | 21.5 | even | 6 |