Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(13,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 2, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.s (of order \(4\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 237.20 | ||
Character | \(\chi\) | \(=\) | 280.237 |
Dual form | 280.2.s.c.13.20 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.00402547 | + | 1.41421i | 0.00284643 | + | 0.999996i | ||||
\(3\) | 1.09655 | − | 1.09655i | 0.633095 | − | 0.633095i | −0.315748 | − | 0.948843i | \(-0.602255\pi\) |
0.948843 | + | 0.315748i | \(0.102255\pi\) | |||||||
\(4\) | −1.99997 | + | 0.0113857i | −0.999984 | + | 0.00569284i | ||||
\(5\) | −0.721255 | − | 2.11655i | −0.322555 | − | 0.946551i | ||||
\(6\) | 1.55517 | + | 1.54634i | 0.634895 | + | 0.631290i | ||||
\(7\) | −0.264726 | − | 2.63247i | −0.100057 | − | 0.994982i | ||||
\(8\) | −0.0241525 | − | 2.82832i | −0.00853921 | − | 0.999964i | ||||
\(9\) | 0.595144i | 0.198381i | ||||||||
\(10\) | 2.99034 | − | 1.02852i | 0.945629 | − | 0.325248i | ||||
\(11\) | − | 2.35868i | − | 0.711170i | −0.934644 | − | 0.355585i | \(-0.884282\pi\) | ||
0.934644 | − | 0.355585i | \(-0.115718\pi\) | |||||||
\(12\) | −2.18059 | + | 2.20556i | −0.629481 | + | 0.636689i | ||||
\(13\) | 1.27672 | − | 1.27672i | 0.354098 | − | 0.354098i | −0.507534 | − | 0.861632i | \(-0.669443\pi\) |
0.861632 | + | 0.507534i | \(0.169443\pi\) | |||||||
\(14\) | 3.72180 | − | 0.384974i | 0.994693 | − | 0.102889i | ||||
\(15\) | −3.11181 | − | 1.53002i | −0.803465 | − | 0.395049i | ||||
\(16\) | 3.99974 | − | 0.0455420i | 0.999935 | − | 0.0113855i | ||||
\(17\) | 1.60730 | − | 1.60730i | 0.389827 | − | 0.389827i | −0.484799 | − | 0.874626i | \(-0.661107\pi\) |
0.874626 | + | 0.484799i | \(0.161107\pi\) | |||||||
\(18\) | −0.841657 | + | 0.00239573i | −0.198380 | + | 0.000564679i | ||||
\(19\) | 2.48261i | 0.569550i | 0.958594 | + | 0.284775i | \(0.0919188\pi\) | ||||
−0.958594 | + | 0.284775i | \(0.908081\pi\) | |||||||
\(20\) | 1.46659 | + | 4.22482i | 0.327938 | + | 0.944699i | ||||
\(21\) | −3.17693 | − | 2.59636i | −0.693264 | − | 0.566572i | ||||
\(22\) | 3.33567 | − | 0.00949480i | 0.711167 | − | 0.00202430i | ||||
\(23\) | 0.615870 | − | 0.615870i | 0.128418 | − | 0.128418i | −0.639977 | − | 0.768394i | \(-0.721056\pi\) |
0.768394 | + | 0.639977i | \(0.221056\pi\) | |||||||
\(24\) | −3.12789 | − | 3.07492i | −0.638478 | − | 0.627666i | ||||
\(25\) | −3.95958 | + | 3.05315i | −0.791916 | + | 0.610630i | ||||
\(26\) | 1.81068 | + | 1.80041i | 0.355104 | + | 0.353088i | ||||
\(27\) | 3.94227 | + | 3.94227i | 0.758689 | + | 0.758689i | ||||
\(28\) | 0.559416 | + | 5.26185i | 0.105720 | + | 0.994396i | ||||
\(29\) | 0.914789 | 0.169872 | 0.0849360 | − | 0.996386i | \(-0.472931\pi\) | ||||
0.0849360 | + | 0.996386i | \(0.472931\pi\) | |||||||
\(30\) | 2.15123 | − | 4.40690i | 0.392760 | − | 0.804586i | ||||
\(31\) | − | 5.53513i | − | 0.994139i | −0.867711 | − | 0.497070i | \(-0.834409\pi\) | ||
0.867711 | − | 0.497070i | \(-0.165591\pi\) | |||||||
\(32\) | 0.0805067 | + | 5.65628i | 0.0142317 | + | 0.999899i | ||||
\(33\) | −2.58642 | − | 2.58642i | −0.450238 | − | 0.450238i | ||||
\(34\) | 2.27952 | + | 2.26658i | 0.390935 | + | 0.388716i | ||||
\(35\) | −5.38083 | + | 2.45899i | −0.909527 | + | 0.415645i | ||||
\(36\) | −0.00677612 | − | 1.19027i | −0.00112935 | − | 0.198378i | ||||
\(37\) | −7.02741 | + | 7.02741i | −1.15530 | + | 1.15530i | −0.169825 | + | 0.985474i | \(0.554320\pi\) |
−0.985474 | + | 0.169825i | \(0.945680\pi\) | |||||||
\(38\) | −3.51093 | + | 0.00999366i | −0.569547 | + | 0.00162119i | ||||
\(39\) | − | 2.79998i | − | 0.448355i | ||||||
\(40\) | −5.96887 | + | 2.09106i | −0.943762 | + | 0.330626i | ||||
\(41\) | 5.48122i | 0.856022i | 0.903773 | + | 0.428011i | \(0.140786\pi\) | ||||
−0.903773 | + | 0.428011i | \(0.859214\pi\) | |||||||
\(42\) | 3.65901 | − | 4.50330i | 0.564597 | − | 0.694874i | ||||
\(43\) | 7.03012 | + | 7.03012i | 1.07208 | + | 1.07208i | 0.997192 | + | 0.0748909i | \(0.0238609\pi\) |
0.0748909 | + | 0.997192i | \(0.476139\pi\) | |||||||
\(44\) | 0.0268552 | + | 4.71729i | 0.00404858 | + | 0.711158i | ||||
\(45\) | 1.25965 | − | 0.429250i | 0.187778 | − | 0.0639889i | ||||
\(46\) | 0.873448 | + | 0.868490i | 0.128783 | + | 0.128052i | ||||
\(47\) | 8.82639 | − | 8.82639i | 1.28746 | − | 1.28746i | 0.351138 | − | 0.936324i | \(-0.385795\pi\) |
0.936324 | − | 0.351138i | \(-0.114205\pi\) | |||||||
\(48\) | 4.33599 | − | 4.43587i | 0.625846 | − | 0.640262i | ||||
\(49\) | −6.85984 | + | 1.39377i | −0.979977 | + | 0.199110i | ||||
\(50\) | −4.33372 | − | 5.58738i | −0.612881 | − | 0.790175i | ||||
\(51\) | − | 3.52498i | − | 0.493595i | ||||||
\(52\) | −2.53886 | + | 2.56793i | −0.352076 | + | 0.356108i | ||||
\(53\) | 4.92582 | + | 4.92582i | 0.676613 | + | 0.676613i | 0.959232 | − | 0.282619i | \(-0.0912033\pi\) |
−0.282619 | + | 0.959232i | \(0.591203\pi\) | |||||||
\(54\) | −5.55931 | + | 5.59105i | −0.756527 | + | 0.760846i | ||||
\(55\) | −4.99228 | + | 1.70121i | −0.673158 | + | 0.229391i | ||||
\(56\) | −7.43910 | + | 0.812311i | −0.994091 | + | 0.108550i | ||||
\(57\) | 2.72231 | + | 2.72231i | 0.360579 | + | 0.360579i | ||||
\(58\) | 0.00368245 | + | 1.29370i | 0.000483529 | + | 0.169871i | ||||
\(59\) | − | 5.85624i | − | 0.762417i | −0.924489 | − | 0.381209i | \(-0.875508\pi\) | ||
0.924489 | − | 0.381209i | \(-0.124492\pi\) | |||||||
\(60\) | 6.24093 | + | 3.02455i | 0.805701 | + | 0.390468i | ||||
\(61\) | −1.78334 | −0.228334 | −0.114167 | − | 0.993462i | \(-0.536420\pi\) | ||||
−0.114167 | + | 0.993462i | \(0.536420\pi\) | |||||||
\(62\) | 7.82783 | − | 0.0222815i | 0.994135 | − | 0.00282975i | ||||
\(63\) | 1.56670 | − | 0.157550i | 0.197386 | − | 0.0198494i | ||||
\(64\) | −7.99883 | + | 0.136622i | −0.999854 | + | 0.0170778i | ||||
\(65\) | −3.62308 | − | 1.78140i | −0.449388 | − | 0.220955i | ||||
\(66\) | 3.64733 | − | 3.66815i | 0.448955 | − | 0.451518i | ||||
\(67\) | 5.48915 | − | 5.48915i | 0.670607 | − | 0.670607i | −0.287249 | − | 0.957856i | \(-0.592741\pi\) |
0.957856 | + | 0.287249i | \(0.0927407\pi\) | |||||||
\(68\) | −3.19624 | + | 3.23284i | −0.387602 | + | 0.392040i | ||||
\(69\) | − | 1.35067i | − | 0.162601i | ||||||
\(70\) | −3.49919 | − | 7.59972i | −0.418233 | − | 0.908340i | ||||
\(71\) | −10.6024 | −1.25827 | −0.629137 | − | 0.777295i | \(-0.716591\pi\) | ||||
−0.629137 | + | 0.777295i | \(0.716591\pi\) | |||||||
\(72\) | 1.68326 | − | 0.0143742i | 0.198374 | − | 0.00169402i | ||||
\(73\) | −2.44585 | − | 2.44585i | −0.286265 | − | 0.286265i | 0.549336 | − | 0.835601i | \(-0.314881\pi\) |
−0.835601 | + | 0.549336i | \(0.814881\pi\) | |||||||
\(74\) | −9.96651 | − | 9.90993i | −1.15858 | − | 1.15201i | ||||
\(75\) | −0.993953 | + | 7.68983i | −0.114772 | + | 0.887945i | ||||
\(76\) | −0.0282662 | − | 4.96514i | −0.00324236 | − | 0.569540i | ||||
\(77\) | −6.20917 | + | 0.624405i | −0.707601 | + | 0.0711575i | ||||
\(78\) | 3.95975 | − | 0.0112712i | 0.448353 | − | 0.00127621i | ||||
\(79\) | 8.51575i | 0.958096i | 0.877789 | + | 0.479048i | \(0.159018\pi\) | ||||
−0.877789 | + | 0.479048i | \(0.840982\pi\) | |||||||
\(80\) | −2.98123 | − | 8.43281i | −0.333311 | − | 0.942817i | ||||
\(81\) | 6.86037 | 0.762264 | ||||||||
\(82\) | −7.75158 | + | 0.0220645i | −0.856019 | + | 0.00243661i | ||||
\(83\) | 6.43943 | − | 6.43943i | 0.706819 | − | 0.706819i | −0.259046 | − | 0.965865i | \(-0.583408\pi\) |
0.965865 | + | 0.259046i | \(0.0834081\pi\) | |||||||
\(84\) | 6.38332 | + | 5.15647i | 0.696478 | + | 0.562617i | ||||
\(85\) | −4.56120 | − | 2.24266i | −0.494732 | − | 0.243250i | ||||
\(86\) | −9.91375 | + | 9.97034i | −1.06903 | + | 1.07513i | ||||
\(87\) | 1.00311 | − | 1.00311i | 0.107545 | − | 0.107545i | ||||
\(88\) | −6.67112 | + | 0.0569682i | −0.711144 | + | 0.00607283i | ||||
\(89\) | 8.47427 | 0.898271 | 0.449136 | − | 0.893464i | \(-0.351732\pi\) | ||||
0.449136 | + | 0.893464i | \(0.351732\pi\) | |||||||
\(90\) | 0.612120 | + | 1.77968i | 0.0645231 | + | 0.187595i | ||||
\(91\) | −3.69891 | − | 3.02295i | −0.387751 | − | 0.316891i | ||||
\(92\) | −1.22471 | + | 1.23873i | −0.127685 | + | 0.129147i | ||||
\(93\) | −6.06957 | − | 6.06957i | −0.629385 | − | 0.629385i | ||||
\(94\) | 12.5179 | + | 12.4468i | 1.29112 | + | 1.28379i | ||||
\(95\) | 5.25457 | − | 1.79059i | 0.539108 | − | 0.183711i | ||||
\(96\) | 6.29069 | + | 6.11413i | 0.642041 | + | 0.624021i | ||||
\(97\) | −13.8585 | + | 13.8585i | −1.40711 | + | 1.40711i | −0.632796 | + | 0.774318i | \(0.718093\pi\) |
−0.774318 | + | 0.632796i | \(0.781907\pi\) | |||||||
\(98\) | −1.99869 | − | 9.69563i | −0.201898 | − | 0.979406i | ||||
\(99\) | 1.40376 | 0.141083 | ||||||||
\(100\) | 7.88427 | − | 6.15128i | 0.788427 | − | 0.615128i | ||||
\(101\) | −15.8961 | −1.58172 | −0.790859 | − | 0.611998i | \(-0.790366\pi\) | ||||
−0.790859 | + | 0.611998i | \(0.790366\pi\) | |||||||
\(102\) | 4.98505 | − | 0.0141897i | 0.493593 | − | 0.00140499i | ||||
\(103\) | 8.37218 | + | 8.37218i | 0.824935 | + | 0.824935i | 0.986811 | − | 0.161876i | \(-0.0517544\pi\) |
−0.161876 | + | 0.986811i | \(0.551754\pi\) | |||||||
\(104\) | −3.64181 | − | 3.58014i | −0.357109 | − | 0.351061i | ||||
\(105\) | −3.20395 | + | 8.59678i | −0.312674 | + | 0.838960i | ||||
\(106\) | −6.94630 | + | 6.98596i | −0.674684 | + | 0.678536i | ||||
\(107\) | 2.68201 | − | 2.68201i | 0.259279 | − | 0.259279i | −0.565482 | − | 0.824761i | \(-0.691310\pi\) |
0.824761 | + | 0.565482i | \(0.191310\pi\) | |||||||
\(108\) | −7.92929 | − | 7.83952i | −0.762996 | − | 0.754358i | ||||
\(109\) | 2.50071 | 0.239525 | 0.119762 | − | 0.992803i | \(-0.461787\pi\) | ||||
0.119762 | + | 0.992803i | \(0.461787\pi\) | |||||||
\(110\) | −2.42596 | − | 7.05327i | −0.231307 | − | 0.672503i | ||||
\(111\) | 15.4119i | 1.46283i | ||||||||
\(112\) | −1.17872 | − | 10.5172i | −0.111379 | − | 0.993778i | ||||
\(113\) | 13.1037 | − | 13.1037i | 1.23269 | − | 1.23269i | 0.269767 | − | 0.962926i | \(-0.413053\pi\) |
0.962926 | − | 0.269767i | \(-0.0869466\pi\) | |||||||
\(114\) | −3.83896 | + | 3.86087i | −0.359551 | + | 0.361604i | ||||
\(115\) | −1.74772 | − | 0.859322i | −0.162976 | − | 0.0801322i | ||||
\(116\) | −1.82955 | + | 0.0104155i | −0.169869 | + | 0.000967055i | ||||
\(117\) | 0.759830 | + | 0.759830i | 0.0702464 | + | 0.0702464i | ||||
\(118\) | 8.28194 | − | 0.0235741i | 0.762414 | − | 0.00217017i | ||||
\(119\) | −4.65666 | − | 3.80568i | −0.426876 | − | 0.348866i | ||||
\(120\) | −4.25222 | + | 8.83815i | −0.388173 | + | 0.806809i | ||||
\(121\) | 5.43661 | 0.494237 | ||||||||
\(122\) | −0.00717878 | − | 2.52202i | −0.000649936 | − | 0.228333i | ||||
\(123\) | 6.01044 | + | 6.01044i | 0.541944 | + | 0.541944i | ||||
\(124\) | 0.0630213 | + | 11.0701i | 0.00565948 | + | 0.994123i | ||||
\(125\) | 9.31801 | + | 6.17856i | 0.833428 | + | 0.552627i | ||||
\(126\) | 0.229115 | + | 2.21501i | 0.0204112 | + | 0.197328i | ||||
\(127\) | 10.6968 | + | 10.6968i | 0.949187 | + | 0.949187i | 0.998770 | − | 0.0495825i | \(-0.0157891\pi\) |
−0.0495825 | + | 0.998770i | \(0.515789\pi\) | |||||||
\(128\) | −0.225411 | − | 11.3115i | −0.0199237 | − | 0.999802i | ||||
\(129\) | 15.4178 | 1.35746 | ||||||||
\(130\) | 2.50469 | − | 5.13096i | 0.219675 | − | 0.450015i | ||||
\(131\) | 6.66310 | 0.582158 | 0.291079 | − | 0.956699i | \(-0.405986\pi\) | ||||
0.291079 | + | 0.956699i | \(0.405986\pi\) | |||||||
\(132\) | 5.20221 | + | 5.14331i | 0.452794 | + | 0.447668i | ||||
\(133\) | 6.53540 | − | 0.657211i | 0.566691 | − | 0.0569874i | ||||
\(134\) | 7.78490 | + | 7.74071i | 0.672513 | + | 0.668695i | ||||
\(135\) | 5.50063 | − | 11.1874i | 0.473419 | − | 0.962857i | ||||
\(136\) | −4.58478 | − | 4.50714i | −0.393142 | − | 0.386484i | ||||
\(137\) | −3.88185 | − | 3.88185i | −0.331649 | − | 0.331649i | 0.521564 | − | 0.853212i | \(-0.325349\pi\) |
−0.853212 | + | 0.521564i | \(0.825349\pi\) | |||||||
\(138\) | 1.91013 | − | 0.00543707i | 0.162601 | − | 0.000462834i | ||||
\(139\) | − | 2.97870i | − | 0.252650i | −0.991989 | − | 0.126325i | \(-0.959682\pi\) | ||
0.991989 | − | 0.126325i | \(-0.0403182\pi\) | |||||||
\(140\) | 10.7335 | − | 4.97917i | 0.907146 | − | 0.420816i | ||||
\(141\) | − | 19.3572i | − | 1.63017i | ||||||
\(142\) | −0.0426796 | − | 14.9940i | −0.00358159 | − | 1.25827i | ||||
\(143\) | −3.01137 | − | 3.01137i | −0.251824 | − | 0.251824i | ||||
\(144\) | 0.0271040 | + | 2.38042i | 0.00225867 | + | 0.198368i | ||||
\(145\) | −0.659796 | − | 1.93620i | −0.0547931 | − | 0.160792i | ||||
\(146\) | 3.44910 | − | 3.46879i | 0.285449 | − | 0.287079i | ||||
\(147\) | −5.99384 | + | 9.05052i | −0.494363 | + | 0.746474i | ||||
\(148\) | 13.9746 | − | 14.1346i | 1.14870 | − | 1.16186i | ||||
\(149\) | 10.6393 | 0.871607 | 0.435803 | − | 0.900042i | \(-0.356464\pi\) | ||||
0.435803 | + | 0.900042i | \(0.356464\pi\) | |||||||
\(150\) | −10.8790 | − | 1.37470i | −0.888268 | − | 0.112244i | ||||
\(151\) | 3.51689 | 0.286201 | 0.143100 | − | 0.989708i | \(-0.454293\pi\) | ||||
0.143100 | + | 0.989708i | \(0.454293\pi\) | |||||||
\(152\) | 7.02162 | − | 0.0599613i | 0.569529 | − | 0.00486350i | ||||
\(153\) | 0.956573 | + | 0.956573i | 0.0773344 | + | 0.0773344i | ||||
\(154\) | −0.908033 | − | 8.77855i | −0.0731714 | − | 0.707396i | ||||
\(155\) | −11.7154 | + | 3.99224i | −0.941003 | + | 0.320665i | ||||
\(156\) | 0.0318797 | + | 5.59986i | 0.00255242 | + | 0.448348i | ||||
\(157\) | 15.0966 | + | 15.0966i | 1.20484 | + | 1.20484i | 0.972678 | + | 0.232160i | \(0.0745792\pi\) |
0.232160 | + | 0.972678i | \(0.425421\pi\) | |||||||
\(158\) | −12.0430 | + | 0.0342798i | −0.958093 | + | 0.00272716i | ||||
\(159\) | 10.8028 | 0.856721 | ||||||||
\(160\) | 11.9137 | − | 4.25002i | 0.941864 | − | 0.335993i | ||||
\(161\) | −1.78430 | − | 1.45823i | −0.140623 | − | 0.114924i | ||||
\(162\) | 0.0276162 | + | 9.70199i | 0.00216973 | + | 0.762261i | ||||
\(163\) | 1.01426 | + | 1.01426i | 0.0794429 | + | 0.0794429i | 0.745712 | − | 0.666269i | \(-0.232110\pi\) |
−0.666269 | + | 0.745712i | \(0.732110\pi\) | |||||||
\(164\) | −0.0624074 | − | 10.9623i | −0.00487320 | − | 0.856008i | ||||
\(165\) | −3.60883 | + | 7.33976i | −0.280947 | + | 0.571400i | ||||
\(166\) | 9.13261 | + | 9.08077i | 0.708828 | + | 0.704804i | ||||
\(167\) | −10.8826 | + | 10.8826i | −0.842124 | + | 0.842124i | −0.989135 | − | 0.147011i | \(-0.953035\pi\) |
0.147011 | + | 0.989135i | \(0.453035\pi\) | |||||||
\(168\) | −7.26662 | + | 9.04810i | −0.560632 | + | 0.698076i | ||||
\(169\) | 9.73998i | 0.749229i | ||||||||
\(170\) | 3.15322 | − | 6.45952i | 0.241841 | − | 0.495422i | ||||
\(171\) | −1.47751 | −0.112988 | ||||||||
\(172\) | −14.1400 | − | 13.9800i | −1.07817 | − | 1.06596i | ||||
\(173\) | 11.2808 | − | 11.2808i | 0.857662 | − | 0.857662i | −0.133400 | − | 0.991062i | \(-0.542590\pi\) |
0.991062 | + | 0.133400i | \(0.0425896\pi\) | |||||||
\(174\) | 1.42265 | + | 1.41457i | 0.107851 | + | 0.107239i | ||||
\(175\) | 9.08554 | + | 9.61525i | 0.686802 | + | 0.726845i | ||||
\(176\) | −0.107419 | − | 9.43412i | −0.00809703 | − | 0.711124i | ||||
\(177\) | −6.42168 | − | 6.42168i | −0.482683 | − | 0.482683i | ||||
\(178\) | 0.0341129 | + | 11.9844i | 0.00255687 | + | 0.898268i | ||||
\(179\) | −12.3821 | −0.925479 | −0.462739 | − | 0.886494i | \(-0.653133\pi\) | ||||
−0.462739 | + | 0.886494i | \(0.653133\pi\) | |||||||
\(180\) | −2.51438 | + | 0.872829i | −0.187411 | + | 0.0650568i | ||||
\(181\) | −5.13021 | −0.381326 | −0.190663 | − | 0.981656i | \(-0.561064\pi\) | ||||
−0.190663 | + | 0.981656i | \(0.561064\pi\) | |||||||
\(182\) | 4.26019 | − | 5.24319i | 0.315786 | − | 0.388651i | ||||
\(183\) | −1.95553 | + | 1.95553i | −0.144557 | + | 0.144557i | ||||
\(184\) | −1.75676 | − | 1.72701i | −0.129510 | − | 0.127317i | ||||
\(185\) | 19.9424 | + | 9.80532i | 1.46620 | + | 0.720902i | ||||
\(186\) | 8.55920 | − | 8.60806i | 0.627591 | − | 0.631174i | ||||
\(187\) | −3.79111 | − | 3.79111i | −0.277233 | − | 0.277233i | ||||
\(188\) | −17.5520 | + | 17.7530i | −1.28011 | + | 1.29477i | ||||
\(189\) | 9.33429 | − | 11.4215i | 0.678970 | − | 0.830794i | ||||
\(190\) | 2.55343 | + | 7.42385i | 0.185245 | + | 0.538582i | ||||
\(191\) | −3.71725 | −0.268971 | −0.134485 | − | 0.990916i | \(-0.542938\pi\) | ||||
−0.134485 | + | 0.990916i | \(0.542938\pi\) | |||||||
\(192\) | −8.62133 | + | 8.92096i | −0.622191 | + | 0.643815i | ||||
\(193\) | −12.7918 | + | 12.7918i | −0.920774 | + | 0.920774i | −0.997084 | − | 0.0763098i | \(-0.975686\pi\) |
0.0763098 | + | 0.997084i | \(0.475686\pi\) | |||||||
\(194\) | −19.6545 | − | 19.5430i | −1.41111 | − | 1.40310i | ||||
\(195\) | −5.92630 | + | 2.01950i | −0.424391 | + | 0.144619i | ||||
\(196\) | 13.7036 | − | 2.86559i | 0.978828 | − | 0.204685i | ||||
\(197\) | −9.28519 | + | 9.28519i | −0.661543 | + | 0.661543i | −0.955744 | − | 0.294201i | \(-0.904946\pi\) |
0.294201 | + | 0.955744i | \(0.404946\pi\) | |||||||
\(198\) | 0.00565077 | + | 1.98520i | 0.000401583 | + | 0.141082i | ||||
\(199\) | −25.8840 | −1.83487 | −0.917435 | − | 0.397886i | \(-0.869744\pi\) | ||||
−0.917435 | + | 0.397886i | \(0.869744\pi\) | |||||||
\(200\) | 8.73092 | + | 11.1252i | 0.617370 | + | 0.786673i | ||||
\(201\) | − | 12.0383i | − | 0.849116i | ||||||
\(202\) | −0.0639891 | − | 22.4804i | −0.00450226 | − | 1.58171i | ||||
\(203\) | −0.242168 | − | 2.40816i | −0.0169969 | − | 0.169020i | ||||
\(204\) | 0.0401343 | + | 7.04984i | 0.00280996 | + | 0.493587i | ||||
\(205\) | 11.6013 | − | 3.95336i | 0.810269 | − | 0.276114i | ||||
\(206\) | −11.8063 | + | 11.8737i | −0.822584 | + | 0.827280i | ||||
\(207\) | 0.366531 | + | 0.366531i | 0.0254757 | + | 0.0254757i | ||||
\(208\) | 5.04840 | − | 5.16468i | 0.350043 | − | 0.358106i | ||||
\(209\) | 5.85569 | 0.405047 | ||||||||
\(210\) | −12.1705 | − | 4.49645i | −0.839847 | − | 0.310285i | ||||
\(211\) | − | 2.55282i | − | 0.175743i | −0.996132 | − | 0.0878716i | \(-0.971993\pi\) | ||
0.996132 | − | 0.0878716i | \(-0.0280065\pi\) | |||||||
\(212\) | −9.90756 | − | 9.79539i | −0.680454 | − | 0.672750i | ||||
\(213\) | −11.6261 | + | 11.6261i | −0.796607 | + | 0.796607i | ||||
\(214\) | 3.80371 | + | 3.78212i | 0.260016 | + | 0.258540i | ||||
\(215\) | 9.80910 | − | 19.9501i | 0.668975 | − | 1.36059i | ||||
\(216\) | 11.0548 | − | 11.2452i | 0.752183 | − | 0.765140i | ||||
\(217\) | −14.5711 | + | 1.46529i | −0.989151 | + | 0.0994706i | ||||
\(218\) | 0.0100665 | + | 3.53653i | 0.000681792 | + | 0.239524i | ||||
\(219\) | −5.36401 | −0.362466 | ||||||||
\(220\) | 9.96502 | − | 3.45921i | 0.671842 | − | 0.233220i | ||||
\(221\) | − | 4.10413i | − | 0.276074i | ||||||
\(222\) | −21.7956 | + | 0.0620399i | −1.46282 | + | 0.00416384i | ||||
\(223\) | −11.5868 | − | 11.5868i | −0.775908 | − | 0.775908i | 0.203224 | − | 0.979132i | \(-0.434858\pi\) |
−0.979132 | + | 0.203224i | \(0.934858\pi\) | |||||||
\(224\) | 14.8687 | − | 1.70930i | 0.993457 | − | 0.114207i | ||||
\(225\) | −1.81706 | − | 2.35652i | −0.121137 | − | 0.157101i | ||||
\(226\) | 18.5841 | + | 18.4786i | 1.23620 | + | 1.22918i | ||||
\(227\) | −14.8711 | − | 14.8711i | −0.987032 | − | 0.987032i | 0.0128847 | − | 0.999917i | \(-0.495899\pi\) |
−0.999917 | + | 0.0128847i | \(0.995899\pi\) | |||||||
\(228\) | −5.47553 | − | 5.41354i | −0.362626 | − | 0.358520i | ||||
\(229\) | − | 9.95151i | − | 0.657615i | −0.944397 | − | 0.328807i | \(-0.893353\pi\) | ||
0.944397 | − | 0.328807i | \(-0.106647\pi\) | |||||||
\(230\) | 1.20822 | − | 2.47510i | 0.0796680 | − | 0.163203i | ||||
\(231\) | −6.12400 | + | 7.49338i | −0.402929 | + | 0.493028i | ||||
\(232\) | −0.0220945 | − | 2.58732i | −0.00145057 | − | 0.169866i | ||||
\(233\) | 2.82674 | − | 2.82674i | 0.185186 | − | 0.185186i | −0.608425 | − | 0.793611i | \(-0.708198\pi\) |
0.793611 | + | 0.608425i | \(0.208198\pi\) | |||||||
\(234\) | −1.07150 | + | 1.07762i | −0.0700461 | + | 0.0704460i | ||||
\(235\) | −25.0476 | − | 12.3154i | −1.63393 | − | 0.803371i | ||||
\(236\) | 0.0666773 | + | 11.7123i | 0.00434032 | + | 0.762405i | ||||
\(237\) | 9.33797 | + | 9.33797i | 0.606566 | + | 0.606566i | ||||
\(238\) | 5.36327 | − | 6.60081i | 0.347649 | − | 0.427867i | ||||
\(239\) | − | 7.84360i | − | 0.507361i | −0.967288 | − | 0.253680i | \(-0.918359\pi\) | ||
0.967288 | − | 0.253680i | \(-0.0816411\pi\) | |||||||
\(240\) | −12.5161 | − | 5.97795i | −0.807910 | − | 0.385875i | ||||
\(241\) | − | 21.6109i | − | 1.39208i | −0.718001 | − | 0.696042i | \(-0.754943\pi\) | ||
0.718001 | − | 0.696042i | \(-0.245057\pi\) | |||||||
\(242\) | 0.0218849 | + | 7.68850i | 0.00140681 | + | 0.494235i | ||||
\(243\) | −4.30403 | + | 4.30403i | −0.276104 | + | 0.276104i | ||||
\(244\) | 3.56663 | − | 0.0203046i | 0.228330 | − | 0.00129987i | ||||
\(245\) | 7.89768 | + | 13.5139i | 0.504564 | + | 0.863374i | ||||
\(246\) | −8.47582 | + | 8.52421i | −0.540399 | + | 0.543484i | ||||
\(247\) | 3.16959 | + | 3.16959i | 0.201676 | + | 0.201676i | ||||
\(248\) | −15.6552 | + | 0.133688i | −0.994103 | + | 0.00848917i | ||||
\(249\) | − | 14.1223i | − | 0.894967i | ||||||
\(250\) | −8.70026 | + | 13.2025i | −0.550253 | + | 0.834998i | ||||
\(251\) | −3.86833 | −0.244167 | −0.122083 | − | 0.992520i | \(-0.538958\pi\) | ||||
−0.122083 | + | 0.992520i | \(0.538958\pi\) | |||||||
\(252\) | −3.13156 | + | 0.332933i | −0.197269 | + | 0.0209728i | ||||
\(253\) | −1.45264 | − | 1.45264i | −0.0913269 | − | 0.0913269i | ||||
\(254\) | −15.0844 | + | 15.1706i | −0.946482 | + | 0.951885i | ||||
\(255\) | −7.46079 | + | 2.54241i | −0.467213 | + | 0.159212i | ||||
\(256\) | 15.9959 | − | 0.364313i | 0.999741 | − | 0.0227695i | ||||
\(257\) | 8.27249 | − | 8.27249i | 0.516024 | − | 0.516024i | −0.400342 | − | 0.916366i | \(-0.631109\pi\) |
0.916366 | + | 0.400342i | \(0.131109\pi\) | |||||||
\(258\) | 0.0620638 | + | 21.8040i | 0.00386392 | + | 1.35746i | ||||
\(259\) | 20.3598 | + | 16.6391i | 1.26510 | + | 1.03391i | ||||
\(260\) | 7.26632 | + | 3.52149i | 0.450638 | + | 0.218394i | ||||
\(261\) | 0.544431i | 0.0336994i | ||||||||
\(262\) | 0.0268221 | + | 9.42301i | 0.00165707 | + | 0.582155i | ||||
\(263\) | −8.10154 | + | 8.10154i | −0.499562 | + | 0.499562i | −0.911302 | − | 0.411739i | \(-0.864921\pi\) |
0.411739 | + | 0.911302i | \(0.364921\pi\) | |||||||
\(264\) | −7.25277 | + | 7.37771i | −0.446377 | + | 0.454066i | ||||
\(265\) | 6.87297 | − | 13.9785i | 0.422203 | − | 0.858693i | ||||
\(266\) | 0.955741 | + | 9.23977i | 0.0586002 | + | 0.566527i | ||||
\(267\) | 9.29249 | − | 9.29249i | 0.568691 | − | 0.568691i | ||||
\(268\) | −10.9156 | + | 11.0406i | −0.666778 | + | 0.674414i | ||||
\(269\) | 21.3949i | 1.30447i | 0.758016 | + | 0.652236i | \(0.226169\pi\) | ||||
−0.758016 | + | 0.652236i | \(0.773831\pi\) | |||||||
\(270\) | 15.8434 | + | 7.73400i | 0.964201 | + | 0.470676i | ||||
\(271\) | − | 4.29648i | − | 0.260993i | −0.991449 | − | 0.130496i | \(-0.958343\pi\) | ||
0.991449 | − | 0.130496i | \(-0.0416571\pi\) | |||||||
\(272\) | 6.35558 | − | 6.50198i | 0.385363 | − | 0.394240i | ||||
\(273\) | −7.37087 | + | 0.741226i | −0.446105 | + | 0.0448611i | ||||
\(274\) | 5.47412 | − | 5.50537i | 0.330704 | − | 0.332592i | ||||
\(275\) | 7.20141 | + | 9.33940i | 0.434261 | + | 0.563187i | ||||
\(276\) | 0.0153783 | + | 2.70129i | 0.000925665 | + | 0.162599i | ||||
\(277\) | 7.62870 | − | 7.62870i | 0.458364 | − | 0.458364i | −0.439754 | − | 0.898118i | \(-0.644934\pi\) |
0.898118 | + | 0.439754i | \(0.144934\pi\) | |||||||
\(278\) | 4.21250 | − | 0.0119907i | 0.252649 | − | 0.000719152i | ||||
\(279\) | 3.29420 | 0.197219 | ||||||||
\(280\) | 7.08479 | + | 15.1593i | 0.423397 | + | 0.905944i | ||||
\(281\) | −19.5650 | −1.16715 | −0.583576 | − | 0.812059i | \(-0.698347\pi\) | ||||
−0.583576 | + | 0.812059i | \(0.698347\pi\) | |||||||
\(282\) | 27.3751 | − | 0.0779218i | 1.63016 | − | 0.00464018i | ||||
\(283\) | 6.26088 | − | 6.26088i | 0.372170 | − | 0.372170i | −0.496097 | − | 0.868267i | \(-0.665234\pi\) |
0.868267 | + | 0.496097i | \(0.165234\pi\) | |||||||
\(284\) | 21.2045 | − | 0.120716i | 1.25825 | − | 0.00716316i | ||||
\(285\) | 3.79843 | − | 7.72540i | 0.225000 | − | 0.457613i | ||||
\(286\) | 4.24659 | − | 4.27083i | 0.251106 | − | 0.252540i | ||||
\(287\) | 14.4292 | − | 1.45102i | 0.851727 | − | 0.0856510i | ||||
\(288\) | −3.36630 | + | 0.0479130i | −0.198361 | + | 0.00282330i | ||||
\(289\) | 11.8332i | 0.696070i | ||||||||
\(290\) | 2.73553 | − | 0.940883i | 0.160636 | − | 0.0552505i | ||||
\(291\) | 30.3931i | 1.78167i | ||||||||
\(292\) | 4.91947 | + | 4.86378i | 0.287890 | + | 0.284631i | ||||
\(293\) | −20.2765 | + | 20.2765i | −1.18457 | + | 1.18457i | −0.206017 | + | 0.978548i | \(0.566050\pi\) |
−0.978548 | + | 0.206017i | \(0.933950\pi\) | |||||||
\(294\) | −12.8234 | − | 8.44010i | −0.747878 | − | 0.492237i | ||||
\(295\) | −12.3950 | + | 4.22384i | −0.721667 | + | 0.245922i | ||||
\(296\) | 20.0455 | + | 19.7061i | 1.16512 | + | 1.14539i | ||||
\(297\) | 9.29856 | − | 9.29856i | 0.539557 | − | 0.539557i | ||||
\(298\) | 0.0428282 | + | 15.0462i | 0.00248097 | + | 0.871603i | ||||
\(299\) | − | 1.57259i | − | 0.0909450i | ||||||
\(300\) | 1.90032 | − | 15.3907i | 0.109715 | − | 0.888584i | ||||
\(301\) | 16.6455 | − | 20.3677i | 0.959433 | − | 1.17397i | ||||
\(302\) | 0.0141571 | + | 4.97362i | 0.000814652 | + | 0.286200i | ||||
\(303\) | −17.4309 | + | 17.4309i | −1.00138 | + | 1.00138i | ||||
\(304\) | 0.113063 | + | 9.92979i | 0.00648461 | + | 0.569513i | ||||
\(305\) | 1.28624 | + | 3.77454i | 0.0736502 | + | 0.216129i | ||||
\(306\) | −1.34894 | + | 1.35664i | −0.0771139 | + | 0.0775542i | ||||
\(307\) | −15.6206 | − | 15.6206i | −0.891515 | − | 0.891515i | 0.103151 | − | 0.994666i | \(-0.467108\pi\) |
−0.994666 | + | 0.103151i | \(0.967108\pi\) | |||||||
\(308\) | 12.4110 | − | 1.31948i | 0.707185 | − | 0.0751846i | ||||
\(309\) | 18.3611 | 1.04453 | ||||||||
\(310\) | −5.69302 | − | 16.5519i | −0.323342 | − | 0.940087i | ||||
\(311\) | − | 2.60168i | − | 0.147528i | −0.997276 | − | 0.0737638i | \(-0.976499\pi\) | ||
0.997276 | − | 0.0737638i | \(-0.0235011\pi\) | |||||||
\(312\) | −7.91924 | + | 0.0676265i | −0.448339 | + | 0.00382860i | ||||
\(313\) | −16.5966 | − | 16.5966i | −0.938093 | − | 0.938093i | 0.0600995 | − | 0.998192i | \(-0.480858\pi\) |
−0.998192 | + | 0.0600995i | \(0.980858\pi\) | |||||||
\(314\) | −21.2889 | + | 21.4105i | −1.20140 | + | 1.20826i | ||||
\(315\) | −1.46345 | − | 3.20237i | −0.0824562 | − | 0.180433i | ||||
\(316\) | −0.0969577 | − | 17.0312i | −0.00545429 | − | 0.958081i | ||||
\(317\) | 5.05882 | − | 5.05882i | 0.284131 | − | 0.284131i | −0.550623 | − | 0.834754i | \(-0.685610\pi\) |
0.834754 | + | 0.550623i | \(0.185610\pi\) | |||||||
\(318\) | 0.0434864 | + | 15.2775i | 0.00243860 | + | 0.856717i | ||||
\(319\) | − | 2.15770i | − | 0.120808i | ||||||
\(320\) | 6.05837 | + | 16.8314i | 0.338673 | + | 0.940904i | ||||
\(321\) | − | 5.88192i | − | 0.328297i | ||||||
\(322\) | 2.05505 | − | 2.52924i | 0.114524 | − | 0.140949i | ||||
\(323\) | 3.99029 | + | 3.99029i | 0.222026 | + | 0.222026i | ||||
\(324\) | −13.7205 | + | 0.0781101i | −0.762251 | + | 0.00433945i | ||||
\(325\) | −1.15726 | + | 8.95328i | −0.0641933 | + | 0.496638i | ||||
\(326\) | −1.43029 | + | 1.43846i | −0.0792165 | + | 0.0796687i | ||||
\(327\) | 2.74216 | − | 2.74216i | 0.151642 | − | 0.151642i | ||||
\(328\) | 15.5027 | − | 0.132385i | 0.855991 | − | 0.00730975i | ||||
\(329\) | −25.5718 | − | 20.8987i | −1.40982 | − | 1.15218i | ||||
\(330\) | −10.3945 | − | 5.07408i | −0.572197 | − | 0.279319i | ||||
\(331\) | 22.6576i | 1.24537i | 0.782471 | + | 0.622687i | \(0.213959\pi\) | ||||
−0.782471 | + | 0.622687i | \(0.786041\pi\) | |||||||
\(332\) | −12.8053 | + | 12.9520i | −0.702784 | + | 0.710831i | ||||
\(333\) | −4.18232 | − | 4.18232i | −0.229190 | − | 0.229190i | ||||
\(334\) | −15.4341 | − | 15.3465i | −0.844517 | − | 0.839723i | ||||
\(335\) | −15.5772 | − | 7.65900i | −0.851071 | − | 0.418456i | ||||
\(336\) | −12.8252 | − | 10.2401i | −0.699669 | − | 0.558643i | ||||
\(337\) | −19.2106 | − | 19.2106i | −1.04647 | − | 1.04647i | −0.998866 | − | 0.0476008i | \(-0.984842\pi\) |
−0.0476008 | − | 0.998866i | \(-0.515158\pi\) | |||||||
\(338\) | −13.7744 | + | 0.0392080i | −0.749226 | + | 0.00213263i | ||||
\(339\) | − | 28.7378i | − | 1.56082i | ||||||
\(340\) | 9.14779 | + | 4.43331i | 0.496109 | + | 0.240430i | ||||
\(341\) | −13.0556 | −0.707002 | ||||||||
\(342\) | −0.00594766 | − | 2.08950i | −0.000321613 | − | 0.112987i | ||||
\(343\) | 5.48503 | + | 17.6894i | 0.296164 | + | 0.955137i | ||||
\(344\) | 19.7137 | − | 20.0532i | 1.06289 | − | 1.08120i | ||||
\(345\) | −2.85876 | + | 0.974177i | −0.153910 | + | 0.0524479i | ||||
\(346\) | 15.9988 | + | 15.9080i | 0.860100 | + | 0.855217i | ||||
\(347\) | 12.2233 | − | 12.2233i | 0.656181 | − | 0.656181i | −0.298293 | − | 0.954474i | \(-0.596417\pi\) |
0.954474 | + | 0.298293i | \(0.0964174\pi\) | |||||||
\(348\) | −1.99477 | + | 2.01762i | −0.106931 | + | 0.108156i | ||||
\(349\) | − | 13.1133i | − | 0.701940i | −0.936387 | − | 0.350970i | \(-0.885852\pi\) | ||
0.936387 | − | 0.350970i | \(-0.114148\pi\) | |||||||
\(350\) | −13.5614 | + | 12.8875i | −0.724887 | + | 0.688868i | ||||
\(351\) | 10.0663 | 0.537300 | ||||||||
\(352\) | 13.3414 | − | 0.189890i | 0.711098 | − | 0.0101212i | ||||
\(353\) | 21.3479 | + | 21.3479i | 1.13624 | + | 1.13624i | 0.989119 | + | 0.147118i | \(0.0469996\pi\) |
0.147118 | + | 0.989119i | \(0.453000\pi\) | |||||||
\(354\) | 9.05573 | − | 9.10743i | 0.481307 | − | 0.484055i | ||||
\(355\) | 7.64704 | + | 22.4405i | 0.405863 | + | 1.19102i | ||||
\(356\) | −16.9483 | + | 0.0964855i | −0.898257 | + | 0.00511372i | ||||
\(357\) | −9.27941 | + | 0.933152i | −0.491118 | + | 0.0493876i | ||||
\(358\) | −0.0498436 | − | 17.5108i | −0.00263431 | − | 0.925475i | ||||
\(359\) | − | 9.10567i | − | 0.480579i | −0.970701 | − | 0.240289i | \(-0.922758\pi\) | ||
0.970701 | − | 0.240289i | \(-0.0772424\pi\) | |||||||
\(360\) | −1.24448 | − | 3.55234i | −0.0655900 | − | 0.187225i | ||||
\(361\) | 12.8367 | 0.675613 | ||||||||
\(362\) | −0.0206515 | − | 7.25519i | −0.00108542 | − | 0.381324i | ||||
\(363\) | 5.96153 | − | 5.96153i | 0.312899 | − | 0.312899i | ||||
\(364\) | 7.43211 | + | 6.00368i | 0.389549 | + | 0.314678i | ||||
\(365\) | −3.41269 | + | 6.94086i | −0.178628 | + | 0.363301i | ||||
\(366\) | −2.77340 | − | 2.75765i | −0.144968 | − | 0.144145i | ||||
\(367\) | −6.46101 | + | 6.46101i | −0.337262 | + | 0.337262i | −0.855336 | − | 0.518074i | \(-0.826649\pi\) |
0.518074 | + | 0.855336i | \(0.326649\pi\) | |||||||
\(368\) | 2.43527 | − | 2.49137i | 0.126947 | − | 0.129872i | ||||
\(369\) | −3.26211 | −0.169819 | ||||||||
\(370\) | −13.7865 | + | 28.2422i | −0.716725 | + | 1.46824i | ||||
\(371\) | 11.6631 | − | 14.2711i | 0.605518 | − | 0.740917i | ||||
\(372\) | 12.2080 | + | 12.0698i | 0.632958 | + | 0.625792i | ||||
\(373\) | −14.2981 | − | 14.2981i | −0.740325 | − | 0.740325i | 0.232315 | − | 0.972640i | \(-0.425370\pi\) |
−0.972640 | + | 0.232315i | \(0.925370\pi\) | |||||||
\(374\) | 5.34615 | − | 5.37668i | 0.276443 | − | 0.278021i | ||||
\(375\) | 16.9928 | − | 3.44257i | 0.877505 | − | 0.177774i | ||||
\(376\) | −25.1771 | − | 24.7507i | −1.29841 | − | 1.27642i | ||||
\(377\) | 1.16793 | − | 1.16793i | 0.0601513 | − | 0.0601513i | ||||
\(378\) | 16.1900 | + | 13.1547i | 0.832723 | + | 0.676602i | ||||
\(379\) | −10.6182 | −0.545419 | −0.272709 | − | 0.962096i | \(-0.587920\pi\) | ||||
−0.272709 | + | 0.962096i | \(0.587920\pi\) | |||||||
\(380\) | −10.4886 | + | 3.64096i | −0.538053 | + | 0.186777i | ||||
\(381\) | 23.4592 | 1.20185 | ||||||||
\(382\) | −0.0149637 | − | 5.25697i | −0.000765608 | − | 0.268970i | ||||
\(383\) | 16.9945 | + | 16.9945i | 0.868377 | + | 0.868377i | 0.992293 | − | 0.123916i | \(-0.0395454\pi\) |
−0.123916 | + | 0.992293i | \(0.539545\pi\) | |||||||
\(384\) | −12.6508 | − | 12.1564i | −0.645583 | − | 0.620356i | ||||
\(385\) | 5.79998 | + | 12.6917i | 0.295595 | + | 0.646828i | ||||
\(386\) | −18.1418 | − | 18.0388i | −0.923392 | − | 0.918150i | ||||
\(387\) | −4.18393 | + | 4.18393i | −0.212681 | + | 0.212681i | ||||
\(388\) | 27.5587 | − | 27.8743i | 1.39908 | − | 1.41510i | ||||
\(389\) | −29.0527 | −1.47303 | −0.736515 | − | 0.676421i | \(-0.763530\pi\) | ||||
−0.736515 | + | 0.676421i | \(0.763530\pi\) | |||||||
\(390\) | −2.87985 | − | 8.37289i | −0.145827 | − | 0.423978i | ||||
\(391\) | − | 1.97978i | − | 0.100122i | ||||||
\(392\) | 4.10771 | + | 19.3682i | 0.207471 | + | 0.978241i | ||||
\(393\) | 7.30644 | − | 7.30644i | 0.368561 | − | 0.368561i | ||||
\(394\) | −13.1686 | − | 13.0938i | −0.663423 | − | 0.659657i | ||||
\(395\) | 18.0240 | − | 6.14203i | 0.906887 | − | 0.309039i | ||||
\(396\) | −2.80747 | + | 0.0159827i | −0.141080 | + | 0.000803162i | ||||
\(397\) | 5.74467 | + | 5.74467i | 0.288317 | + | 0.288317i | 0.836414 | − | 0.548098i | \(-0.184648\pi\) |
−0.548098 | + | 0.836414i | \(0.684648\pi\) | |||||||
\(398\) | −0.104195 | − | 36.6054i | −0.00522283 | − | 1.83486i | ||||
\(399\) | 6.44575 | − | 7.88708i | 0.322691 | − | 0.394848i | ||||
\(400\) | −15.6983 | + | 12.3921i | −0.784913 | + | 0.619606i | ||||
\(401\) | 29.3864 | 1.46749 | 0.733743 | − | 0.679428i | \(-0.237772\pi\) | ||||
0.733743 | + | 0.679428i | \(0.237772\pi\) | |||||||
\(402\) | 17.0247 | − | 0.0484597i | 0.849112 | − | 0.00241695i | ||||
\(403\) | −7.06680 | − | 7.06680i | −0.352023 | − | 0.352023i | ||||
\(404\) | 31.7916 | − | 0.180988i | 1.58169 | − | 0.00900448i | ||||
\(405\) | −4.94808 | − | 14.5203i | −0.245872 | − | 0.721521i | ||||
\(406\) | 3.40466 | − | 0.352170i | 0.168970 | − | 0.0174779i | ||||
\(407\) | 16.5754 | + | 16.5754i | 0.821614 | + | 0.821614i | ||||
\(408\) | −9.96977 | + | 0.0851371i | −0.493577 | + | 0.00421491i | ||||
\(409\) | −5.50199 | −0.272056 | −0.136028 | − | 0.990705i | \(-0.543434\pi\) | ||||
−0.136028 | + | 0.990705i | \(0.543434\pi\) | |||||||
\(410\) | 5.63757 | + | 16.3907i | 0.278420 | + | 0.809479i | ||||
\(411\) | −8.51331 | −0.419931 | ||||||||
\(412\) | −16.8394 | − | 16.6488i | −0.829618 | − | 0.820226i | ||||
\(413\) | −15.4164 | + | 1.55030i | −0.758591 | + | 0.0762852i | ||||
\(414\) | −0.516876 | + | 0.519827i | −0.0254031 | + | 0.0255481i | ||||
\(415\) | −18.2738 | − | 8.98491i | −0.897028 | − | 0.441052i | ||||
\(416\) | 7.32426 | + | 7.11869i | 0.359101 | + | 0.349023i | ||||
\(417\) | −3.26630 | − | 3.26630i | −0.159951 | − | 0.159951i | ||||
\(418\) | 0.0235719 | + | 8.28116i | 0.00115294 | + | 0.405045i | ||||
\(419\) | 20.2796i | 0.990722i | 0.868687 | + | 0.495361i | \(0.164964\pi\) | ||||
−0.868687 | + | 0.495361i | \(0.835036\pi\) | |||||||
\(420\) | 6.30992 | − | 17.2298i | 0.307893 | − | 0.840726i | ||||
\(421\) | 33.7978i | 1.64720i | 0.567169 | + | 0.823601i | \(0.308039\pi\) | ||||
−0.567169 | + | 0.823601i | \(0.691961\pi\) | |||||||
\(422\) | 3.61021 | − | 0.0102763i | 0.175742 | − | 0.000500241i | ||||
\(423\) | 5.25297 | + | 5.25297i | 0.255408 | + | 0.255408i | ||||
\(424\) | 13.8128 | − | 14.0508i | 0.670811 | − | 0.682366i | ||||
\(425\) | −1.45691 | + | 11.2715i | −0.0706706 | + | 0.546750i | ||||
\(426\) | −16.4885 | − | 16.3949i | −0.798871 | − | 0.794336i | ||||
\(427\) | 0.472097 | + | 4.69460i | 0.0228464 | + | 0.227188i | ||||
\(428\) | −5.33339 | + | 5.39446i | −0.257799 | + | 0.260751i | ||||
\(429\) | −6.60426 | −0.318857 | ||||||||
\(430\) | 28.2531 | + | 13.7918i | 1.36248 | + | 0.665099i | ||||
\(431\) | −21.3902 | −1.03033 | −0.515165 | − | 0.857091i | \(-0.672270\pi\) | ||||
−0.515165 | + | 0.857091i | \(0.672270\pi\) | |||||||
\(432\) | 15.9476 | + | 15.5885i | 0.767278 | + | 0.750002i | ||||
\(433\) | 2.93987 | + | 2.93987i | 0.141281 | + | 0.141281i | 0.774210 | − | 0.632929i | \(-0.218147\pi\) |
−0.632929 | + | 0.774210i | \(0.718147\pi\) | |||||||
\(434\) | −2.13088 | − | 20.6007i | −0.102286 | − | 0.988863i | ||||
\(435\) | −2.84664 | − | 1.39964i | −0.136486 | − | 0.0671077i | ||||
\(436\) | −5.00134 | + | 0.0284723i | −0.239521 | + | 0.00136358i | ||||
\(437\) | 1.52897 | + | 1.52897i | 0.0731403 | + | 0.0731403i | ||||
\(438\) | −0.0215926 | − | 7.58583i | −0.00103174 | − | 0.362465i | ||||
\(439\) | 10.4865 | 0.500495 | 0.250248 | − | 0.968182i | \(-0.419488\pi\) | ||||
0.250248 | + | 0.968182i | \(0.419488\pi\) | |||||||
\(440\) | 4.93216 | + | 14.0787i | 0.235131 | + | 0.671175i | ||||
\(441\) | −0.829492 | − | 4.08259i | −0.0394996 | − | 0.194409i | ||||
\(442\) | 5.80410 | − | 0.0165210i | 0.276073 | − | 0.000785826i | ||||
\(443\) | −13.0706 | − | 13.0706i | −0.621003 | − | 0.621003i | 0.324785 | − | 0.945788i | \(-0.394708\pi\) |
−0.945788 | + | 0.324785i | \(0.894708\pi\) | |||||||
\(444\) | −0.175475 | − | 30.8232i | −0.00832766 | − | 1.46280i | ||||
\(445\) | −6.11211 | − | 17.9362i | −0.289742 | − | 0.850259i | ||||
\(446\) | 16.3395 | − | 16.4328i | 0.773696 | − | 0.778113i | ||||
\(447\) | 11.6666 | − | 11.6666i | 0.551810 | − | 0.551810i | ||||
\(448\) | 2.47715 | + | 21.0206i | 0.117034 | + | 0.993128i | ||||
\(449\) | 14.4252i | 0.680766i | 0.940287 | + | 0.340383i | \(0.110557\pi\) | ||||
−0.940287 | + | 0.340383i | \(0.889443\pi\) | |||||||
\(450\) | 3.32529 | − | 2.57919i | 0.156756 | − | 0.121584i | ||||
\(451\) | 12.9285 | 0.608777 | ||||||||
\(452\) | −26.0578 | + | 26.3562i | −1.22565 | + | 1.23969i | ||||
\(453\) | 3.85646 | − | 3.85646i | 0.181192 | − | 0.181192i | ||||
\(454\) | 20.9710 | − | 21.0907i | 0.984219 | − | 0.989838i | ||||
\(455\) | −3.73037 | + | 10.0092i | −0.174882 | + | 0.469241i | ||||
\(456\) | 7.63383 | − | 7.76533i | 0.357487 | − | 0.363645i | ||||
\(457\) | −1.20405 | − | 1.20405i | −0.0563229 | − | 0.0563229i | 0.678384 | − | 0.734707i | \(-0.262680\pi\) |
−0.734707 | + | 0.678384i | \(0.762680\pi\) | |||||||
\(458\) | 14.0735 | − | 0.0400595i | 0.657612 | − | 0.00187186i | ||||
\(459\) | 12.6728 | 0.591515 | ||||||||
\(460\) | 3.50517 | + | 1.69872i | 0.163429 | + | 0.0792031i | ||||
\(461\) | 7.12260 | 0.331733 | 0.165866 | − | 0.986148i | \(-0.446958\pi\) | ||||
0.165866 | + | 0.986148i | \(0.446958\pi\) | |||||||
\(462\) | −10.6218 | − | 8.63044i | −0.494173 | − | 0.401524i | ||||
\(463\) | 21.0245 | − | 21.0245i | 0.977090 | − | 0.977090i | −0.0226530 | − | 0.999743i | \(-0.507211\pi\) |
0.999743 | + | 0.0226530i | \(0.00721129\pi\) | |||||||
\(464\) | 3.65892 | − | 0.0416613i | 0.169861 | − | 0.00193408i | ||||
\(465\) | −8.46885 | + | 17.2243i | −0.392733 | + | 0.798756i | ||||
\(466\) | 4.00898 | + | 3.98622i | 0.185712 | + | 0.184658i | ||||
\(467\) | −3.16096 | − | 3.16096i | −0.146272 | − | 0.146272i | 0.630178 | − | 0.776450i | \(-0.282982\pi\) |
−0.776450 | + | 0.630178i | \(0.782982\pi\) | |||||||
\(468\) | −1.52829 | − | 1.51099i | −0.0706451 | − | 0.0698453i | ||||
\(469\) | −15.9032 | − | 12.9969i | −0.734341 | − | 0.600143i | ||||
\(470\) | 17.3158 | − | 35.4721i | 0.798716 | − | 1.63621i | ||||
\(471\) | 33.1084 | 1.52555 | ||||||||
\(472\) | −16.5633 | + | 0.141443i | −0.762390 | + | 0.00651044i | ||||
\(473\) | 16.5818 | − | 16.5818i | 0.762433 | − | 0.762433i | ||||
\(474\) | −13.1682 | + | 13.2434i | −0.604837 | + | 0.608290i | ||||
\(475\) | −7.57977 | − | 9.83009i | −0.347784 | − | 0.451036i | ||||
\(476\) | 9.35651 | + | 7.55821i | 0.428855 | + | 0.346430i | ||||
\(477\) | −2.93157 | + | 2.93157i | −0.134227 | + | 0.134227i | ||||
\(478\) | 11.0925 | − | 0.0315742i | 0.507358 | − | 0.00144417i | ||||
\(479\) | −14.8465 | −0.678355 | −0.339178 | − | 0.940722i | \(-0.610149\pi\) | ||||
−0.339178 | + | 0.940722i | \(0.610149\pi\) | |||||||
\(480\) | 8.40368 | − | 17.7244i | 0.383574 | − | 0.809005i | ||||
\(481\) | 17.9440i | 0.818178i | ||||||||
\(482\) | 30.5624 | − | 0.0869941i | 1.39208 | − | 0.00396247i | ||||
\(483\) | −3.55560 | + | 0.357557i | −0.161785 | + | 0.0162694i | ||||
\(484\) | −10.8730 | + | 0.0618996i | −0.494229 | + | 0.00281362i | ||||
\(485\) | 39.3277 | + | 19.3367i | 1.78578 | + | 0.878033i | ||||
\(486\) | −6.10412 | − | 6.06947i | −0.276889 | − | 0.275317i | ||||
\(487\) | −7.09892 | − | 7.09892i | −0.321683 | − | 0.321683i | 0.527730 | − | 0.849412i | \(-0.323043\pi\) |
−0.849412 | + | 0.527730i | \(0.823043\pi\) | |||||||
\(488\) | 0.0430722 | + | 5.04387i | 0.00194979 | + | 0.228325i | ||||
\(489\) | 2.22438 | 0.100590 | ||||||||
\(490\) | −19.0797 | + | 11.2234i | −0.861935 | + | 0.507020i | ||||
\(491\) | − | 12.8350i | − | 0.579237i | −0.957142 | − | 0.289618i | \(-0.906472\pi\) | ||
0.957142 | − | 0.289618i | \(-0.0935284\pi\) | |||||||
\(492\) | −12.0891 | − | 11.9523i | −0.545020 | − | 0.538850i | ||||
\(493\) | 1.47034 | − | 1.47034i | 0.0662207 | − | 0.0662207i | ||||
\(494\) | −4.46970 | + | 4.49522i | −0.201101 | + | 0.202250i | ||||
\(495\) | −1.01247 | − | 2.97112i | −0.0455070 | − | 0.133542i | ||||
\(496\) | −0.252081 | − | 22.1391i | −0.0113188 | − | 0.994075i | ||||
\(497\) | 2.80673 | + | 27.9106i | 0.125899 | + | 1.25196i | ||||
\(498\) | 19.9719 | − | 0.0568490i | 0.894964 | − | 0.00254747i | ||||
\(499\) | −10.1847 | −0.455930 | −0.227965 | − | 0.973669i | \(-0.573207\pi\) | ||||
−0.227965 | + | 0.973669i | \(0.573207\pi\) | |||||||
\(500\) | −18.7061 | − | 12.2508i | −0.836561 | − | 0.547874i | ||||
\(501\) | 23.8668i | 1.06629i | ||||||||
\(502\) | −0.0155718 | − | 5.47062i | −0.000695005 | − | 0.244166i | ||||
\(503\) | −5.16072 | − | 5.16072i | −0.230105 | − | 0.230105i | 0.582631 | − | 0.812737i | \(-0.302023\pi\) |
−0.812737 | + | 0.582631i | \(0.802023\pi\) | |||||||
\(504\) | −0.483442 | − | 4.42733i | −0.0215342 | − | 0.197209i | ||||
\(505\) | 11.4651 | + | 33.6449i | 0.510191 | + | 1.49718i | ||||
\(506\) | 2.04849 | − | 2.06019i | 0.0910666 | − | 0.0915865i | ||||
\(507\) | 10.6804 | + | 10.6804i | 0.474333 | + | 0.474333i | ||||
\(508\) | −21.5150 | − | 21.2715i | −0.954576 | − | 0.943769i | ||||
\(509\) | − | 1.65423i | − | 0.0733226i | −0.999328 | − | 0.0366613i | \(-0.988328\pi\) | ||
0.999328 | − | 0.0366613i | \(-0.0116723\pi\) | |||||||
\(510\) | −3.62552 | − | 10.5409i | −0.160541 | − | 0.466758i | ||||
\(511\) | −5.79116 | + | 7.08612i | −0.256186 | + | 0.313472i | ||||
\(512\) | 0.579604 | + | 22.6200i | 0.0256151 | + | 0.999672i | ||||
\(513\) | −9.78710 | + | 9.78710i | −0.432111 | + | 0.432111i | ||||
\(514\) | 11.7323 | + | 11.6657i | 0.517491 | + | 0.514553i | ||||
\(515\) | 11.6817 | − | 23.7586i | 0.514756 | − | 1.04693i | ||||
\(516\) | −30.8351 | + | 0.175542i | −1.35744 | + | 0.00772781i | ||||
\(517\) | −20.8187 | − | 20.8187i | −0.915604 | − | 0.915604i | ||||
\(518\) | −23.4492 | + | 28.8600i | −1.03030 | + | 1.26803i | ||||
\(519\) | − | 24.7399i | − | 1.08596i | ||||||
\(520\) | −4.95087 | + | 10.2903i | −0.217110 | + | 0.451258i | ||||
\(521\) | 30.7380i | 1.34665i | 0.739344 | + | 0.673327i | \(0.235136\pi\) | ||||
−0.739344 | + | 0.673327i | \(0.764864\pi\) | |||||||
\(522\) | −0.769938 | + | 0.00219159i | −0.0336993 | + | 9.59232e-5i | ||||
\(523\) | −30.0751 | + | 30.0751i | −1.31509 | + | 1.31509i | −0.397486 | + | 0.917608i | \(0.630117\pi\) |
−0.917608 | + | 0.397486i | \(0.869883\pi\) | |||||||
\(524\) | −13.3260 | + | 0.0758640i | −0.582148 | + | 0.00331413i | ||||
\(525\) | 20.5064 | + | 0.580860i | 0.894973 | + | 0.0253508i | ||||
\(526\) | −11.4899 | − | 11.4247i | −0.500982 | − | 0.498138i | ||||
\(527\) | −8.89661 | − | 8.89661i | −0.387543 | − | 0.387543i | ||||
\(528\) | −10.4628 | − | 10.2272i | −0.455335 | − | 0.445083i | ||||
\(529\) | 22.2414i | 0.967018i | ||||||||
\(530\) | 19.7962 | + | 9.66354i | 0.859892 | + | 0.419758i | ||||
\(531\) | 3.48530 | 0.151249 | ||||||||
\(532\) | −13.0631 | + | 1.38881i | −0.566358 | + | 0.0602126i | ||||
\(533\) | 6.99797 | + | 6.99797i | 0.303116 | + | 0.303116i | ||||
\(534\) | 13.1789 | + | 13.1041i | 0.570308 | + | 0.567070i | ||||
\(535\) | −7.61102 | − | 3.74219i | −0.329053 | − | 0.161789i | ||||
\(536\) | −15.6577 | − | 15.3925i | −0.676309 | − | 0.664856i | ||||
\(537\) | −13.5776 | + | 13.5776i | −0.585916 | + | 0.585916i | ||||
\(538\) | −30.2569 | + | 0.0861245i | −1.30447 | + | 0.00371309i | ||||
\(539\) | 3.28746 | + | 16.1802i | 0.141601 | + | 0.696930i | ||||
\(540\) | −10.8737 | + | 22.4370i | −0.467930 | + | 0.965536i | ||||
\(541\) | − | 4.43452i | − | 0.190655i | −0.995446 | − | 0.0953275i | \(-0.969610\pi\) | ||
0.995446 | − | 0.0953275i | \(-0.0303898\pi\) | |||||||
\(542\) | 6.07612 | − | 0.0172954i | 0.260992 | − | 0.000742899i | ||||
\(543\) | −5.62555 | + | 5.62555i | −0.241415 | + | 0.241415i | ||||
\(544\) | 9.22073 | + | 8.96193i | 0.395336 | + | 0.384240i | ||||
\(545\) | −1.80365 | − | 5.29289i | −0.0772600 | − | 0.226722i | ||||
\(546\) | −1.07792 | − | 10.4210i | −0.0461307 | − | 0.445976i | ||||
\(547\) | 10.5660 | − | 10.5660i | 0.451771 | − | 0.451771i | −0.444171 | − | 0.895942i | \(-0.646502\pi\) |
0.895942 | + | 0.444171i | \(0.146502\pi\) | |||||||
\(548\) | 7.80777 | + | 7.71938i | 0.333532 | + | 0.329756i | ||||
\(549\) | − | 1.06134i | − | 0.0452971i | ||||||
\(550\) | −13.1789 | + | 10.2219i | −0.561949 | + | 0.435863i | ||||
\(551\) | 2.27106i | 0.0967505i | ||||||||
\(552\) | −3.82013 | + | 0.0326221i | −0.162596 | + | 0.00138849i | ||||
\(553\) | 22.4175 | − | 2.25434i | 0.953288 | − | 0.0958642i | ||||
\(554\) | 10.8193 | + | 10.7579i | 0.459667 | + | 0.457058i | ||||
\(555\) | 32.6200 | − | 11.1159i | 1.38464 | − | 0.471843i | ||||
\(556\) | 0.0339146 | + | 5.95730i | 0.00143830 | + | 0.252646i | ||||
\(557\) | 29.7303 | − | 29.7303i | 1.25971 | − | 1.25971i | 0.308483 | − | 0.951230i | \(-0.400179\pi\) |
0.951230 | − | 0.308483i | \(-0.0998212\pi\) | |||||||
\(558\) | 0.0132607 | + | 4.65868i | 0.000561370 | + | 0.197218i | ||||
\(559\) | 17.9510 | 0.759244 | ||||||||
\(560\) | −21.4099 | + | 10.0804i | −0.904735 | + | 0.425974i | ||||
\(561\) | −8.31430 | −0.351030 | ||||||||
\(562\) | −0.0787584 | − | 27.6690i | −0.00332222 | − | 1.16715i | ||||
\(563\) | 21.5058 | − | 21.5058i | 0.906362 | − | 0.906362i | −0.0896148 | − | 0.995976i | \(-0.528564\pi\) |
0.995976 | + | 0.0896148i | \(0.0285636\pi\) | |||||||
\(564\) | 0.220395 | + | 38.7138i | 0.00928031 | + | 1.63015i | ||||
\(565\) | −37.1858 | − | 18.2835i | −1.56442 | − | 0.769195i | ||||
\(566\) | 8.87938 | + | 8.82898i | 0.373228 | + | 0.371110i | ||||
\(567\) | −1.81612 | − | 18.0598i | −0.0762698 | − | 0.758438i | ||||
\(568\) | 0.256075 | + | 29.9870i | 0.0107447 | + | 1.25823i | ||||
\(569\) | 21.8433i | 0.915717i | 0.889025 | + | 0.457858i | \(0.151383\pi\) | ||||
−0.889025 | + | 0.457858i | \(0.848617\pi\) | |||||||
\(570\) | 10.9406 | + | 5.34068i | 0.458252 | + | 0.223696i | ||||
\(571\) | 40.7167i | 1.70394i | 0.523591 | + | 0.851970i | \(0.324592\pi\) | ||||
−0.523591 | + | 0.851970i | \(0.675408\pi\) | |||||||
\(572\) | 6.05694 | + | 5.98836i | 0.253253 | + | 0.250386i | ||||
\(573\) | −4.07616 | + | 4.07616i | −0.170284 | + | 0.170284i | ||||
\(574\) | 2.11013 | + | 20.4000i | 0.0880750 | + | 0.851479i | ||||
\(575\) | −0.558246 | + | 4.31893i | −0.0232805 | + | 0.180112i | ||||
\(576\) | −0.0813099 | − | 4.76045i | −0.00338791 | − | 0.198352i | ||||
\(577\) | 6.60862 | − | 6.60862i | 0.275120 | − | 0.275120i | −0.556037 | − | 0.831157i | \(-0.687679\pi\) |
0.831157 | + | 0.556037i | \(0.187679\pi\) | |||||||
\(578\) | −16.7346 | + | 0.0476341i | −0.696067 | + | 0.00198132i | ||||
\(579\) | 28.0538i | 1.16588i | ||||||||
\(580\) | 1.34162 | + | 3.86482i | 0.0557076 | + | 0.160478i | ||||
\(581\) | −18.6563 | − | 15.2469i | −0.773994 | − | 0.632550i | ||||
\(582\) | −42.9822 | + | 0.122346i | −1.78167 | + | 0.00507142i | ||||
\(583\) | 11.6184 | − | 11.6184i | 0.481187 | − | 0.481187i | ||||
\(584\) | −6.85859 | + | 6.97674i | −0.283810 | + | 0.288699i | ||||
\(585\) | 1.06019 | − | 2.15625i | 0.0438334 | − | 0.0891501i | ||||
\(586\) | −28.7568 | − | 28.5935i | −1.18793 | − | 1.18119i | ||||
\(587\) | 5.86248 | + | 5.86248i | 0.241971 | + | 0.241971i | 0.817665 | − | 0.575694i | \(-0.195268\pi\) |
−0.575694 | + | 0.817665i | \(0.695268\pi\) | |||||||
\(588\) | 11.8844 | − | 18.1690i | 0.490106 | − | 0.749276i | ||||
\(589\) | 13.7416 | 0.566212 | ||||||||
\(590\) | −6.02329 | − | 17.5121i | −0.247975 | − | 0.720964i | ||||
\(591\) | 20.3634i | 0.837639i | ||||||||
\(592\) | −27.7878 | + | 28.4279i | −1.14207 | + | 1.16838i | ||||
\(593\) | −14.7745 | − | 14.7745i | −0.606717 | − | 0.606717i | 0.335370 | − | 0.942087i | \(-0.391139\pi\) |
−0.942087 | + | 0.335370i | \(0.891139\pi\) | |||||||
\(594\) | 13.1875 | + | 13.1127i | 0.541091 | + | 0.538019i | ||||
\(595\) | −4.69627 | + | 12.6009i | −0.192528 | + | 0.516588i | ||||
\(596\) | −21.2783 | + | 0.121136i | −0.871593 | + | 0.00496192i | ||||
\(597\) | −28.3832 | + | 28.3832i | −1.16165 | + | 1.16165i | ||||
\(598\) | 2.22396 | − | 0.00633039i | 0.0909446 | − | 0.000258869i | ||||
\(599\) | 28.1745i | 1.15118i | 0.817738 | + | 0.575590i | \(0.195228\pi\) | ||||
−0.817738 | + | 0.575590i | \(0.804772\pi\) | |||||||
\(600\) | 21.7733 | + | 2.62549i | 0.888893 | + | 0.107185i | ||||
\(601\) | − | 1.80167i | − | 0.0734917i | −0.999325 | − | 0.0367458i | \(-0.988301\pi\) | ||
0.999325 | − | 0.0367458i | \(-0.0116992\pi\) | |||||||
\(602\) | 28.8711 | + | 23.4583i | 1.17670 | + | 0.956088i | ||||
\(603\) | 3.26684 | + | 3.26684i | 0.133036 | + | 0.133036i | ||||
\(604\) | −7.03367 | + | 0.0400423i | −0.286196 | + | 0.00162930i | ||||
\(605\) | −3.92118 | − | 11.5069i | −0.159419 | − | 0.467821i | ||||
\(606\) | −24.7211 | − | 24.5807i | −1.00422 | − | 0.998524i | ||||
\(607\) | −17.2781 | + | 17.2781i | −0.701297 | + | 0.701297i | −0.964689 | − | 0.263392i | \(-0.915159\pi\) |
0.263392 | + | 0.964689i | \(0.415159\pi\) | |||||||
\(608\) | −14.0423 | + | 0.199867i | −0.569492 | + | 0.00810566i | ||||
\(609\) | −2.90622 | − | 2.37512i | −0.117766 | − | 0.0962448i | ||||
\(610\) | −5.33280 | + | 1.83421i | −0.215919 | + | 0.0742651i | ||||
\(611\) | − | 22.5376i | − | 0.911775i | ||||||
\(612\) | −1.92401 | − | 1.90222i | −0.0777734 | − | 0.0768929i | ||||
\(613\) | 14.6367 | + | 14.6367i | 0.591172 | + | 0.591172i | 0.937948 | − | 0.346776i | \(-0.112724\pi\) |
−0.346776 | + | 0.937948i | \(0.612724\pi\) | |||||||
\(614\) | 22.0279 | − | 22.1537i | 0.888974 | − | 0.894049i | ||||
\(615\) | 8.38635 | − | 17.0565i | 0.338170 | − | 0.687784i | ||||
\(616\) | 1.91599 | + | 17.5465i | 0.0771973 | + | 0.706968i | ||||
\(617\) | 8.85764 | + | 8.85764i | 0.356595 | + | 0.356595i | 0.862556 | − | 0.505961i | \(-0.168862\pi\) |
−0.505961 | + | 0.862556i | \(0.668862\pi\) | |||||||
\(618\) | 0.0739119 | + | 25.9664i | 0.00297317 | + | 1.04452i | ||||
\(619\) | 27.4249i | 1.10230i | 0.834407 | + | 0.551149i | \(0.185810\pi\) | ||||
−0.834407 | + | 0.551149i | \(0.814190\pi\) | |||||||
\(620\) | 23.3850 | − | 8.11775i | 0.939163 | − | 0.326017i | ||||
\(621\) | 4.85585 | 0.194859 | ||||||||
\(622\) | 3.67931 | − | 0.0104730i | 0.147527 | − | 0.000419927i | ||||
\(623\) | −2.24336 | − | 22.3083i | −0.0898783 | − | 0.893764i | ||||
\(624\) | −0.127517 | − | 11.1992i | −0.00510475 | − | 0.448326i | ||||
\(625\) | 6.35658 | − | 24.1784i | 0.254263 | − | 0.967135i | ||||
\(626\) | 23.4042 | − | 23.5378i | 0.935419 | − | 0.940759i | ||||
\(627\) | 6.42107 | − | 6.42107i | 0.256433 | − | 0.256433i | ||||
\(628\) | −30.3645 | − | 30.0208i | −1.21168 | − | 1.19796i | ||||
\(629\) | 22.5903i | 0.900734i | ||||||||
\(630\) | 4.52292 | − | 2.08252i | 0.180198 | − | 0.0829695i | ||||
\(631\) | −5.46251 | −0.217459 | −0.108730 | − | 0.994071i | \(-0.534678\pi\) | ||||
−0.108730 | + | 0.994071i | \(0.534678\pi\) | |||||||
\(632\) | 24.0853 | − | 0.205677i | 0.958061 | − | 0.00818139i | ||||
\(633\) | −2.79930 | − | 2.79930i | −0.111262 | − | 0.111262i | ||||
\(634\) | 7.17458 | + | 7.13385i | 0.284939 | + | 0.283321i | ||||
\(635\) | 14.9252 | − | 30.3555i | 0.592289 | − | 1.20462i | ||||
\(636\) | −21.6053 | + | 0.122998i | −0.856707 | + | 0.00487718i | ||||
\(637\) | −6.97863 | + | 10.5375i | −0.276503 | + | 0.417512i | ||||
\(638\) | 3.05143 | − | 0.00868574i | 0.120807 | − | 0.000343872i | ||||
\(639\) | − | 6.30995i | − | 0.249618i | ||||||
\(640\) | −23.7787 | + | 8.63555i | −0.939936 | + | 0.341350i | ||||
\(641\) | 11.8243 | 0.467033 | 0.233516 | − | 0.972353i | \(-0.424977\pi\) | ||||
0.233516 | + | 0.972353i | \(0.424977\pi\) | |||||||
\(642\) | 8.31826 | − | 0.0236775i | 0.328296 | − | 0.000934476i | ||||
\(643\) | 1.75785 | − | 1.75785i | 0.0693227 | − | 0.0693227i | −0.671595 | − | 0.740918i | \(-0.734391\pi\) |
0.740918 | + | 0.671595i | \(0.234391\pi\) | |||||||
\(644\) | 3.58514 | + | 2.89609i | 0.141274 | + | 0.114122i | ||||
\(645\) | −11.1202 | − | 32.6325i | −0.437856 | − | 1.28491i | ||||
\(646\) | −5.62704 | + | 5.65917i | −0.221393 | + | 0.222657i | ||||
\(647\) | 3.65322 | − | 3.65322i | 0.143623 | − | 0.143623i | −0.631639 | − | 0.775262i | \(-0.717618\pi\) |
0.775262 | + | 0.631639i | \(0.217618\pi\) | |||||||
\(648\) | −0.165695 | − | 19.4034i | −0.00650913 | − | 0.762236i | ||||
\(649\) | −13.8130 | −0.542208 | ||||||||
\(650\) | −12.6665 | − | 1.60057i | −0.496819 | − | 0.0627794i | ||||
\(651\) | −14.3712 | + | 17.5848i | −0.563252 | + | 0.689201i | ||||
\(652\) | −2.04003 | − | 2.01694i | −0.0798939 | − | 0.0789894i | ||||
\(653\) | −12.3855 | − | 12.3855i | −0.484683 | − | 0.484683i | 0.421940 | − | 0.906624i | \(-0.361349\pi\) |
−0.906624 | + | 0.421940i | \(0.861349\pi\) | |||||||
\(654\) | 3.88903 | + | 3.86695i | 0.152073 | + | 0.151210i | ||||
\(655\) | −4.80580 | − | 14.1028i | −0.187778 | − | 0.551042i | ||||
\(656\) | 0.249626 | + | 21.9234i | 0.00974625 | + | 0.855967i | ||||
\(657\) | 1.45563 | − | 1.45563i | 0.0567897 | − | 0.0567897i | ||||
\(658\) | 29.4521 | − | 36.2480i | 1.14816 | − | 1.41309i | ||||
\(659\) | −31.5872 | −1.23046 | −0.615231 | − | 0.788347i | \(-0.710937\pi\) | ||||
−0.615231 | + | 0.788347i | \(0.710937\pi\) | |||||||
\(660\) | 7.13396 | − | 14.7204i | 0.277689 | − | 0.572990i | ||||
\(661\) | 2.69577 | 0.104853 | 0.0524267 | − | 0.998625i | \(-0.483304\pi\) | ||||
0.0524267 | + | 0.998625i | \(0.483304\pi\) | |||||||
\(662\) | −32.0425 | + | 0.0912073i | −1.24537 | + | 0.00354487i | ||||
\(663\) | −4.50040 | − | 4.50040i | −0.174781 | − | 0.174781i | ||||
\(664\) | −18.3683 | − | 18.0573i | −0.712829 | − | 0.700757i | ||||
\(665\) | −6.10471 | − | 13.3585i | −0.236731 | − | 0.518021i | ||||
\(666\) | 5.89783 | − | 5.93150i | 0.228536 | − | 0.229841i | ||||
\(667\) | 0.563391 | − | 0.563391i | 0.0218146 | − | 0.0218146i | ||||
\(668\) | 21.6410 | − | 21.8888i | 0.837316 | − | 0.846904i | ||||
\(669\) | −25.4110 | −0.982447 | ||||||||
\(670\) | 10.7687 | − | 22.0602i | 0.416032 | − | 0.852259i | ||||
\(671\) | 4.20634i | 0.162384i | ||||||||
\(672\) | 14.4300 | − | 18.1787i | 0.556649 | − | 0.701257i | ||||
\(673\) | −2.66949 | + | 2.66949i | −0.102901 | + | 0.102901i | −0.756683 | − | 0.653782i | \(-0.773181\pi\) |
0.653782 | + | 0.756683i | \(0.273181\pi\) | |||||||
\(674\) | 27.0904 | − | 27.2451i | 1.04348 | − | 1.04944i | ||||
\(675\) | −27.6460 | − | 3.57341i | −1.06410 | − | 0.137540i | ||||
\(676\) | −0.110896 | − | 19.4796i | −0.00426525 | − | 0.749217i | ||||
\(677\) | −3.93572 | − | 3.93572i | −0.151262 | − | 0.151262i | 0.627419 | − | 0.778681i | \(-0.284111\pi\) |
−0.778681 | + | 0.627419i | \(0.784111\pi\) | |||||||
\(678\) | 40.6412 | − | 0.115683i | 1.56082 | − | 0.00444278i | ||||
\(679\) | 40.1508 | + | 32.8134i | 1.54084 | + | 1.25926i | ||||
\(680\) | −6.23280 | + | 12.9547i | −0.239017 | + | 0.496791i | ||||
\(681\) | −32.6140 | −1.24977 | ||||||||
\(682\) | −0.0525550 | − | 18.4634i | −0.00201243 | − | 0.706999i | ||||
\(683\) | 24.0867 | + | 24.0867i | 0.921651 | + | 0.921651i | 0.997146 | − | 0.0754952i | \(-0.0240538\pi\) |
−0.0754952 | + | 0.997146i | \(0.524054\pi\) | |||||||
\(684\) | 2.95497 | − | 0.0168225i | 0.112986 | − | 0.000643223i | ||||
\(685\) | −5.41633 | + | 11.0159i | −0.206947 | + | 0.420898i | ||||
\(686\) | −24.9944 | + | 7.82819i | −0.954290 | + | 0.298882i | ||||
\(687\) | −10.9124 | − | 10.9124i | −0.416333 | − | 0.416333i | ||||
\(688\) | 28.4388 | + | 27.7985i | 1.08422 | + | 1.05981i | ||||
\(689\) | 12.5778 | 0.479174 | ||||||||
\(690\) | −1.38920 | − | 4.03896i | −0.0528858 | − | 0.153761i | ||||
\(691\) | 32.3478 | 1.23057 | 0.615284 | − | 0.788305i | \(-0.289041\pi\) | ||||
0.615284 | + | 0.788305i | \(0.289041\pi\) | |||||||
\(692\) | −22.4328 | + | 22.6896i | −0.852766 | + | 0.862531i | ||||
\(693\) | −0.371610 | − | 3.69535i | −0.0141163 | − | 0.140375i | ||||
\(694\) | 17.3355 | + | 17.2371i | 0.658046 | + | 0.654310i | ||||
\(695\) | −6.30457 | + | 2.14840i | −0.239146 | + | 0.0814936i | ||||
\(696\) | −2.86136 | − | 2.81290i | −0.108460 | − | 0.106623i | ||||
\(697\) | 8.80995 | + | 8.80995i | 0.333701 | + | 0.333701i | ||||
\(698\) | 18.5450 | − | 0.0527872i | 0.701937 | − | 0.00199803i | ||||
\(699\) | − | 6.19935i | − | 0.234481i | ||||||
\(700\) | −18.2803 | − | 19.1267i | −0.690929 | − | 0.722923i | ||||
\(701\) | 16.4563i | 0.621547i | 0.950484 | + | 0.310773i | \(0.100588\pi\) | ||||
−0.950484 | + | 0.310773i | \(0.899412\pi\) | |||||||
\(702\) | 0.0405216 | + | 14.2359i | 0.00152939 | + | 0.537298i | ||||
\(703\) | −17.4463 | − | 17.4463i | −0.658000 | − | 0.658000i | ||||
\(704\) | 0.322249 | + | 18.8667i | 0.0121452 | + | 0.711066i | ||||
\(705\) | −40.9705 | + | 13.9615i | −1.54304 | + | 0.525820i | ||||
\(706\) | −30.1045 | + | 30.2764i | −1.13300 | + | 1.13947i | ||||
\(707\) | 4.20810 | + | 41.8460i | 0.158262 | + | 1.57378i | ||||
\(708\) | 12.9163 | + | 12.7700i | 0.485423 | + | 0.479927i | ||||
\(709\) | −19.5504 | −0.734232 | −0.367116 | − | 0.930175i | \(-0.619655\pi\) | ||||
−0.367116 | + | 0.930175i | \(0.619655\pi\) | |||||||
\(710\) | −31.7048 | + | 10.9048i | −1.18986 | + | 0.409251i | ||||
\(711\) | −5.06809 | −0.190068 | ||||||||
\(712\) | −0.204675 | − | 23.9680i | −0.00767053 | − | 0.898239i | ||||
\(713\) | −3.40893 | − | 3.40893i | −0.127665 | − | 0.127665i | ||||
\(714\) | −1.35702 | − | 13.1193i | −0.0507854 | − | 0.490976i | ||||
\(715\) | −4.20176 | + | 8.54570i | −0.157137 | + | 0.319591i | ||||
\(716\) | 24.7637 | − | 0.140978i | 0.925464 | − | 0.00526861i | ||||
\(717\) | −8.60093 | − | 8.60093i | −0.321207 | − | 0.321207i | ||||
\(718\) | 12.8773 | − | 0.0366546i | 0.480577 | − | 0.00136794i | ||||
\(719\) | −26.2406 | −0.978608 | −0.489304 | − | 0.872113i | \(-0.662749\pi\) | ||||
−0.489304 | + | 0.872113i | \(0.662749\pi\) | |||||||
\(720\) | 5.01873 | − | 1.77426i | 0.187037 | − | 0.0661227i | ||||
\(721\) | 19.8232 | − | 24.2559i | 0.738255 | − | 0.903336i | ||||
\(722\) | 0.0516735 | + | 18.1537i | 0.00192309 | + | 0.675611i | ||||
\(723\) | −23.6975 | − | 23.6975i | −0.881321 | − | 0.881321i | ||||
\(724\) | 10.2603 | − | 0.0584110i | 0.381320 | − | 0.00217083i | ||||
\(725\) | −3.62218 | + | 2.79299i | −0.134524 | + | 0.103729i | ||||
\(726\) | 8.45484 | + | 8.40685i | 0.313789 | + | 0.312007i | ||||
\(727\) | 20.3660 | − | 20.3660i | 0.755332 | − | 0.755332i | −0.220137 | − | 0.975469i | \(-0.570651\pi\) |
0.975469 | + | 0.220137i | \(0.0706505\pi\) | |||||||
\(728\) | −8.46053 | + | 10.5347i | −0.313568 | + | 0.390443i | ||||
\(729\) | 30.0203i | 1.11186i | ||||||||
\(730\) | −9.82955 | − | 4.79831i | −0.363808 | − | 0.177593i | ||||
\(731\) | 22.5990 | 0.835854 | ||||||||
\(732\) | 3.88873 | − | 3.93326i | 0.143732 | − | 0.145377i | ||||
\(733\) | 13.5866 | − | 13.5866i | 0.501833 | − | 0.501833i | −0.410174 | − | 0.912007i | \(-0.634532\pi\) |
0.912007 | + | 0.410174i | \(0.134532\pi\) | |||||||
\(734\) | −9.16322 | − | 9.11120i | −0.338221 | − | 0.336301i | ||||
\(735\) | 23.4790 | + | 6.15853i | 0.866035 | + | 0.227161i | ||||
\(736\) | 3.53312 | + | 3.43395i | 0.130232 | + | 0.126577i | ||||
\(737\) | −12.9472 | − | 12.9472i | −0.476915 | − | 0.476915i | ||||
\(738\) | −0.0131315 | − | 4.61330i | −0.000483378 | − | 0.169818i | ||||
\(739\) | 26.3183 | 0.968134 | 0.484067 | − | 0.875031i | \(-0.339159\pi\) | ||||
0.484067 | + | 0.875031i | \(0.339159\pi\) | |||||||
\(740\) | −39.9959 | − | 19.3833i | −1.47028 | − | 0.712543i | ||||
\(741\) | 6.95125 | 0.255361 | ||||||||
\(742\) | 20.2292 | + | 16.4366i | 0.742638 | + | 0.603406i | ||||
\(743\) | −24.2706 | + | 24.2706i | −0.890402 | + | 0.890402i | −0.994561 | − | 0.104159i | \(-0.966785\pi\) |
0.104159 | + | 0.994561i | \(0.466785\pi\) | |||||||
\(744\) | −17.0201 | + | 17.3133i | −0.623987 | + | 0.634736i | ||||
\(745\) | −7.67366 | − | 22.5187i | −0.281141 | − | 0.825020i | ||||
\(746\) | 20.1629 | − | 20.2780i | 0.738215 | − | 0.742429i | ||||
\(747\) | 3.83238 | + | 3.83238i | 0.140220 | + | 0.140220i | ||||
\(748\) | 7.62526 | + | 7.53893i | 0.278807 | + | 0.275651i | ||||
\(749\) | −7.77031 | − | 6.35032i | −0.283921 | − | 0.232036i | ||||
\(750\) | 4.93692 | + | 24.0175i | 0.180271 | + | 0.876996i | ||||
\(751\) | −6.94292 | −0.253351 | −0.126675 | − | 0.991944i | \(-0.540431\pi\) | ||||
−0.126675 | + | 0.991944i | \(0.540431\pi\) | |||||||
\(752\) | 34.9013 | − | 35.7053i | 1.27272 | − | 1.30204i | ||||
\(753\) | −4.24183 | + | 4.24183i | −0.154581 | + | 0.154581i | ||||
\(754\) | 1.65639 | + | 1.64699i | 0.0603223 | + | 0.0599799i | ||||
\(755\) | −2.53658 | − | 7.44369i | −0.0923155 | − | 0.270904i | ||||
\(756\) | −18.5382 | + | 22.9490i | −0.674229 | + | 0.834646i | ||||
\(757\) | −2.73207 | + | 2.73207i | −0.0992988 | + | 0.0992988i | −0.755011 | − | 0.655712i | \(-0.772368\pi\) |
0.655712 | + | 0.755011i | \(0.272368\pi\) | |||||||
\(758\) | −0.0427431 | − | 15.0163i | −0.00155250 | − | 0.545417i | ||||
\(759\) | −3.18580 | −0.115637 | ||||||||
\(760\) | −5.19129 | − | 14.8184i | −0.188308 | − | 0.537519i | ||||
\(761\) | 28.2249i | 1.02315i | 0.859238 | + | 0.511576i | \(0.170938\pi\) | ||||
−0.859238 | + | 0.511576i | \(0.829062\pi\) | |||||||
\(762\) | 0.0944343 | + | 33.1762i | 0.00342099 | + | 1.20185i | ||||
\(763\) | −0.662003 | − | 6.58306i | −0.0239661 | − | 0.238323i | ||||
\(764\) | 7.43438 | − | 0.0423235i | 0.268967 | − | 0.00153121i | ||||
\(765\) | 1.33470 | − | 2.71457i | 0.0482563 | − | 0.0981455i | ||||
\(766\) | −23.9653 | + | 24.1021i | −0.865901 | + | 0.870845i | ||||
\(767\) | −7.47676 | − | 7.47676i | −0.269970 | − | 0.269970i | ||||
\(768\) | 17.1408 | − | 17.9398i | 0.618516 | − | 0.647346i | ||||
\(769\) | 18.6596 | 0.672883 | 0.336442 | − | 0.941704i | \(-0.390777\pi\) | ||||
0.336442 | + | 0.941704i | \(0.390777\pi\) | |||||||
\(770\) | −17.9253 | + | 8.25347i | −0.645984 | + | 0.297434i | ||||
\(771\) | − | 18.1425i | − | 0.653384i | ||||||
\(772\) | 25.4376 | − | 25.7288i | 0.915518 | − | 0.926001i | ||||
\(773\) | −5.42750 | + | 5.42750i | −0.195214 | + | 0.195214i | −0.797945 | − | 0.602731i | \(-0.794079\pi\) |
0.602731 | + | 0.797945i | \(0.294079\pi\) | |||||||
\(774\) | −5.93379 | − | 5.90010i | −0.213286 | − | 0.212075i | ||||
\(775\) | 16.8996 | + | 21.9168i | 0.607051 | + | 0.787275i | ||||
\(776\) | 39.5310 | + | 38.8615i | 1.41908 | + | 1.39505i | ||||
\(777\) | 40.5713 | − | 4.07992i | 1.45549 | − | 0.146366i | ||||
\(778\) | −0.116951 | − | 41.0865i | −0.00419288 | − | 1.47302i | ||||
\(779\) | −13.6077 | −0.487547 | ||||||||
\(780\) | 11.8294 | − | 4.10641i | 0.423561 | − | 0.147033i | ||||
\(781\) | 25.0077i | 0.894846i | ||||||||
\(782\) | 2.79981 | − | 0.00796952i | 0.100121 | − | 0.000284989i | ||||
\(783\) | 3.60634 | + | 3.60634i | 0.128880 | + | 0.128880i | ||||
\(784\) | −27.3741 | + | 5.88712i | −0.977647 | + | 0.210254i | ||||
\(785\) | 21.0642 | − | 42.8411i | 0.751813 | − | 1.52907i | ||||
\(786\) | 10.3622 | + | 10.3034i | 0.369609 | + | 0.367511i | ||||
\(787\) | −36.3797 | − | 36.3797i | −1.29680 | − | 1.29680i | −0.930498 | − | 0.366297i | \(-0.880625\pi\) |
−0.366297 | − | 0.930498i | \(-0.619375\pi\) | |||||||
\(788\) | 18.4644 | − | 18.6758i | 0.657766 | − | 0.665298i | ||||
\(789\) | 17.7675i | 0.632541i | ||||||||
\(790\) | 8.75866 | + | 25.4650i | 0.311619 | + | 0.906003i | ||||
\(791\) | −37.9640 | − | 31.0263i | −1.34985 | − | 1.10317i | ||||
\(792\) | −0.0339043 | − | 3.97028i | −0.00120474 | − | 0.141078i | ||||
\(793\) | −2.27682 | + | 2.27682i | −0.0808524 | + | 0.0808524i | ||||
\(794\) | −8.10103 | + | 8.14728i | −0.287495 | + | 0.289136i | ||||
\(795\) | −7.79160 | − | 22.8648i | −0.276340 | − | 0.810930i | ||||
\(796\) | 51.7672 | − | 0.294707i | 1.83484 | − | 0.0104456i | ||||
\(797\) | 9.35558 | + | 9.35558i | 0.331392 | + | 0.331392i | 0.853115 | − | 0.521723i | \(-0.174711\pi\) |
−0.521723 | + | 0.853115i | \(0.674711\pi\) | |||||||
\(798\) | 11.1799 | + | 9.08388i | 0.395765 | + | 0.321566i | ||||
\(799\) | − | 28.3733i | − | 1.00378i | ||||||
\(800\) | −17.5882 | − | 22.1507i | −0.621838 | − | 0.783146i | ||||
\(801\) | 5.04341i | 0.178200i | ||||||||
\(802\) | 0.118294 | + | 41.5584i | 0.00417710 | + | 1.46748i | ||||
\(803\) | −5.76899 | + | 5.76899i | −0.203583 | + | 0.203583i | ||||
\(804\) | 0.137064 | + | 24.0762i | 0.00483389 | + | 0.849102i | ||||
\(805\) | −1.79948 | + | 4.82832i | −0.0634232 | + | 0.170176i | ||||
\(806\) | 9.96548 | − | 10.0224i | 0.351019 | − | 0.353023i | ||||
\(807\) | 23.4607 | + | 23.4607i | 0.825855 | + | 0.825855i | ||||
\(808\) | 0.383930 | + | 44.9593i | 0.0135066 | + | 1.58166i | ||||
\(809\) | − | 42.7708i | − | 1.50374i | −0.659310 | − | 0.751871i | \(-0.729152\pi\) | ||
0.659310 | − | 0.751871i | \(-0.270848\pi\) | |||||||
\(810\) | 20.5149 | − | 7.05606i | 0.720818 | − | 0.247925i | ||||
\(811\) | 16.5754 | 0.582041 | 0.291020 | − | 0.956717i | \(-0.406005\pi\) | ||||
0.291020 | + | 0.956717i | \(0.406005\pi\) | |||||||
\(812\) | 0.511747 | + | 4.81348i | 0.0179588 | + | 0.168920i | ||||
\(813\) | −4.71132 | − | 4.71132i | −0.165233 | − | 0.165233i | ||||
\(814\) | −23.3744 | + | 23.5078i | −0.819272 | + | 0.823949i | ||||
\(815\) | 1.41519 | − | 2.87827i | 0.0495720 | − | 0.100821i | ||||
\(816\) | −0.160535 | − | 14.0990i | −0.00561983 | − | 0.493563i | ||||
\(817\) | −17.4530 | + | 17.4530i | −0.610604 | + | 0.610604i | ||||
\(818\) | −0.0221481 | − | 7.78096i | −0.000774389 | − | 0.272055i | ||||
\(819\) | 1.79909 | − | 2.20138i | 0.0628652 | − | 0.0769225i | ||||
\(820\) | −23.1572 | + | 8.03867i | −0.808684 | + | 0.280723i | ||||
\(821\) | 15.5555i | 0.542890i | 0.962454 | + | 0.271445i | \(0.0875016\pi\) | ||||
−0.962454 | + | 0.271445i | \(0.912498\pi\) | |||||||
\(822\) | −0.0342700 | − | 12.0396i | −0.00119530 | − | 0.419929i | ||||
\(823\) | 30.7453 | − | 30.7453i | 1.07171 | − | 1.07171i | 0.0744916 | − | 0.997222i | \(-0.476267\pi\) |
0.997222 | − | 0.0744916i | \(-0.0237334\pi\) | |||||||
\(824\) | 23.4770 | − | 23.8814i | 0.817861 | − | 0.831950i | ||||
\(825\) | 18.1379 | + | 2.34442i | 0.631480 | + | 0.0816223i | ||||
\(826\) | −2.25450 | − | 21.7957i | −0.0784441 | − | 0.758371i | ||||
\(827\) | 23.4215 | − | 23.4215i | 0.814445 | − | 0.814445i | −0.170851 | − | 0.985297i | \(-0.554652\pi\) |
0.985297 | + | 0.170851i | \(0.0546518\pi\) | |||||||
\(828\) | −0.737224 | − | 0.728878i | −0.0256203 | − | 0.0253302i | ||||
\(829\) | 22.4634i | 0.780186i | 0.920775 | + | 0.390093i | \(0.127557\pi\) | ||||
−0.920775 | + | 0.390093i | \(0.872443\pi\) | |||||||
\(830\) | 12.6330 | − | 25.8792i | 0.438497 | − | 0.898280i | ||||
\(831\) | − | 16.7306i | − | 0.580377i | ||||||
\(832\) | −10.0378 | + | 10.3867i | −0.347999 | + | 0.360093i | ||||
\(833\) | −8.78561 | + | 13.2660i | −0.304403 | + | 0.459640i | ||||
\(834\) | 4.60608 | − | 4.63238i | 0.159496 | − | 0.160406i | ||||
\(835\) | 30.8828 | + | 15.1845i | 1.06874 | + | 0.525481i | ||||
\(836\) | −11.7112 | + | 0.0666711i | −0.405040 | + | 0.00230587i | ||||
\(837\) | 21.8210 | − | 21.8210i | 0.754243 | − | 0.754243i | ||||
\(838\) | −28.6795 | + | 0.0816347i | −0.990718 | + | 0.00282003i | ||||
\(839\) | 12.4343 | 0.429281 | 0.214641 | − | 0.976693i | \(-0.431142\pi\) | ||||
0.214641 | + | 0.976693i | \(0.431142\pi\) | |||||||
\(840\) | 24.3919 | + | 8.85418i | 0.841599 | + | 0.305498i | ||||
\(841\) | −28.1632 | −0.971144 | ||||||||
\(842\) | −47.7971 | + | 0.136052i | −1.64720 | + | 0.00468865i | ||||
\(843\) | −21.4541 | + | 21.4541i | −0.738918 | + | 0.738918i | ||||
\(844\) | 0.0290656 | + | 5.10555i | 0.00100048 | + | 0.175740i | ||||
\(845\) | 20.6152 | − | 7.02501i | 0.709184 | − | 0.241668i | ||||
\(846\) | −7.40765 | + | 7.44994i | −0.254680 | + | 0.256134i | ||||
\(847\) | −1.43921 | − | 14.3117i | −0.0494519 | − | 0.491757i | ||||
\(848\) | 19.9263 | + | 19.4777i | 0.684273 | + | 0.668865i | ||||
\(849\) | − | 13.7308i | − | 0.471239i | ||||||
\(850\) | −15.9462 | − | 2.01500i | −0.546949 | − | 0.0691140i | ||||
\(851\) | 8.65595i | 0.296722i | ||||||||
\(852\) | 23.1194 | − | 23.3842i | 0.792059 | − | 0.801129i | ||||
\(853\) | 13.4352 | − | 13.4352i | 0.460014 | − | 0.460014i | −0.438646 | − | 0.898660i | \(-0.644542\pi\) |
0.898660 | + | 0.438646i | \(0.144542\pi\) | |||||||
\(854\) | −6.63724 | + | 0.686541i | −0.227122 | + | 0.0234929i | ||||
\(855\) | 1.06566 | + | 3.12722i | 0.0364448 | + | 0.106949i | ||||
\(856\) | −7.65036 | − | 7.52081i | −0.261484 | − | 0.257056i | ||||
\(857\) | −0.276507 | + | 0.276507i | −0.00944530 | + | 0.00944530i | −0.711814 | − | 0.702368i | \(-0.752126\pi\) |
0.702368 | + | 0.711814i | \(0.252126\pi\) | |||||||
\(858\) | −0.0265852 | − | 9.33980i | −0.000907605 | − | 0.318855i | ||||
\(859\) | − | 46.7422i | − | 1.59482i | −0.603435 | − | 0.797412i | \(-0.706202\pi\) | ||
0.603435 | − | 0.797412i | \(-0.293798\pi\) | |||||||
\(860\) | −19.3907 | + | 40.0113i | −0.661218 | + | 1.36437i | ||||
\(861\) | 14.2312 | − | 17.4135i | 0.484999 | − | 0.593449i | ||||
\(862\) | −0.0861056 | − | 30.2502i | −0.00293277 | − | 1.03033i | ||||
\(863\) | −11.1737 | + | 11.1737i | −0.380359 | + | 0.380359i | −0.871231 | − | 0.490873i | \(-0.836678\pi\) |
0.490873 | + | 0.871231i | \(0.336678\pi\) | |||||||
\(864\) | −21.9812 | + | 22.6159i | −0.747815 | + | 0.769410i | ||||
\(865\) | −32.0127 | − | 15.7400i | −1.08846 | − | 0.535177i | ||||
\(866\) | −4.14575 | + | 4.16942i | −0.140878 | + | 0.141683i | ||||
\(867\) | 12.9757 | + | 12.9757i | 0.440678 | + | 0.440678i | ||||
\(868\) | 29.1250 | − | 3.09644i | 0.988568 | − | 0.105100i | ||||
\(869\) | 20.0860 | 0.681369 | ||||||||
\(870\) | 1.96793 | − | 4.03138i | 0.0667189 | − | 0.136677i | ||||
\(871\) | − | 14.0162i | − | 0.474921i | ||||||
\(872\) | −0.0603985 | − | 7.07283i | −0.00204535 | − | 0.239516i | ||||
\(873\) | −8.24778 | − | 8.24778i | −0.279145 | − | 0.279145i | ||||
\(874\) | −2.15612 | + | 2.16843i | −0.0729319 | + | 0.0733482i | ||||
\(875\) | 13.7982 | − | 26.1651i | 0.466464 | − | 0.884540i | ||||
\(876\) | 10.7279 | − | 0.0610730i | 0.362461 | − | 0.00206346i | ||||
\(877\) | 1.90129 | − | 1.90129i | 0.0642020 | − | 0.0642020i | −0.674277 | − | 0.738479i | \(-0.735544\pi\) |
0.738479 | + | 0.674277i | \(0.235544\pi\) | |||||||
\(878\) | 0.0422132 | + | 14.8301i | 0.00142463 | + | 0.500493i | ||||
\(879\) | 44.4685i | 1.49988i | ||||||||
\(880\) | −19.8903 | + | 7.03177i | −0.670503 | + | 0.237041i | ||||
\(881\) | − | 32.2820i | − | 1.08761i | −0.839213 | − | 0.543803i | \(-0.816984\pi\) | ||
0.839213 | − | 0.543803i | \(-0.183016\pi\) | |||||||
\(882\) | 5.77029 | − | 1.18951i | 0.194296 | − | 0.0400528i | ||||
\(883\) | 5.10115 | + | 5.10115i | 0.171668 | + | 0.171668i | 0.787712 | − | 0.616044i | \(-0.211266\pi\) |
−0.616044 | + | 0.787712i | \(0.711266\pi\) | |||||||
\(884\) | 0.0467284 | + | 8.20813i | 0.00157165 | + | 0.276069i | ||||
\(885\) | −8.96014 | + | 18.2235i | −0.301192 | + | 0.612575i | ||||
\(886\) | 18.4319 | − | 18.5372i | 0.619233 | − | 0.622768i | ||||
\(887\) | −25.2698 | + | 25.2698i | −0.848478 | + | 0.848478i | −0.989943 | − | 0.141465i | \(-0.954819\pi\) |
0.141465 | + | 0.989943i | \(0.454819\pi\) | |||||||
\(888\) | 43.5897 | − | 0.372235i | 1.46278 | − | 0.0124914i | ||||
\(889\) | 25.3273 | − | 30.9908i | 0.849451 | − | 1.03940i | ||||
\(890\) | 25.3410 | − | 8.71600i | 0.849431 | − | 0.292161i | ||||
\(891\) | − | 16.1815i | − | 0.542099i | ||||||
\(892\) | 23.3051 | + | 23.0413i | 0.780312 | + | 0.771478i | ||||
\(893\) | 21.9125 | + | 21.9125i | 0.733273 | + | 0.733273i | ||||
\(894\) | 16.5459 | + | 16.4520i | 0.553379 | + | 0.550237i | ||||
\(895\) | 8.93063 | + | 26.2073i | 0.298518 | + | 0.876013i | ||||
\(896\) | −29.7175 | + | 3.58783i | −0.992791 | + | 0.119861i | ||||
\(897\) | −1.72442 | − | 1.72442i | −0.0575768 | − | 0.0575768i | ||||
\(898\) | −20.4002 | + | 0.0580681i | −0.680764 | + | 0.00193776i | ||||
\(899\) | − | 5.06348i | − | 0.168876i | ||||||
\(900\) | 3.66089 | + | 4.69228i | 0.122030 | + | 0.156409i | ||||
\(901\) | 15.8345 | 0.527524 | ||||||||
\(902\) | 0.0520431 | + | 18.2835i | 0.00173284 | + | 0.608775i | ||||
\(903\) | −4.08149 | − | 40.5869i | −0.135823 | − | 1.35065i | ||||
\(904\) | −37.3780 | − | 36.7450i | −1.24317 | − | 1.22212i | ||||
\(905\) | 3.70019 | + | 10.8584i | 0.122999 | + | 0.360944i | ||||
\(906\) | 5.46936 | + | 5.43831i | 0.181707 | + | 0.180676i | ||||
\(907\) | 7.46480 | − | 7.46480i | 0.247865 | − | 0.247865i | −0.572229 | − | 0.820094i | \(-0.693921\pi\) |
0.820094 | + | 0.572229i | \(0.193921\pi\) | |||||||
\(908\) | 29.9111 | + | 29.5725i | 0.992635 | + | 0.981397i | ||||
\(909\) | − | 9.46045i | − | 0.313783i | ||||||
\(910\) | −14.1702 | − | 5.23522i | −0.469736 | − | 0.173546i | ||||
\(911\) | 26.3962 | 0.874545 | 0.437272 | − | 0.899329i | \(-0.355945\pi\) | ||||
0.437272 | + | 0.899329i | \(0.355945\pi\) | |||||||
\(912\) | 11.0125 | + | 10.7646i | 0.364661 | + | 0.356450i | ||||
\(913\) | −15.1886 | − | 15.1886i | −0.502668 | − | 0.502668i | ||||
\(914\) | 1.69792 | − | 1.70762i | 0.0561623 | − | 0.0564830i | ||||
\(915\) | 5.54941 | + | 2.72854i | 0.183458 | + | 0.0902028i | ||||
\(916\) | 0.113305 | + | 19.9027i | 0.00374370 | + | 0.657604i | ||||
\(917\) | −1.76389 | − | 17.5404i | −0.0582489 | − | 0.579236i | ||||
\(918\) | 0.0510139 | + | 17.9220i | 0.00168371 | + | 0.591513i | ||||
\(919\) | 6.84354i | 0.225748i | 0.993609 | + | 0.112874i | \(0.0360056\pi\) | ||||
−0.993609 | + | 0.112874i | \(0.963994\pi\) | |||||||
\(920\) | −2.38823 | + | 4.96388i | −0.0787376 | + | 0.163654i | ||||
\(921\) | −34.2576 | −1.12883 | ||||||||
\(922\) | 0.0286718 | + | 10.0728i | 0.000944255 | + | 0.331731i | ||||
\(923\) | −13.5363 | + | 13.5363i | −0.445552 | + | 0.445552i | ||||
\(924\) | 12.1625 | − | 15.0562i | 0.400116 | − | 0.495314i | ||||
\(925\) | 6.36989 | − | 49.2813i | 0.209441 | − | 1.62036i | ||||
\(926\) | 29.8176 | + | 29.6483i | 0.979868 | + | 0.974305i | ||||
\(927\) | −4.98265 | + | 4.98265i | −0.163652 | + | 0.163652i | ||||
\(928\) | 0.0736466 | + | 5.17430i | 0.00241757 | + | 0.169855i | ||||
\(929\) | 12.2665 | 0.402452 | 0.201226 | − | 0.979545i | \(-0.435507\pi\) | ||||
0.201226 | + | 0.979545i | \(0.435507\pi\) | |||||||
\(930\) | −24.3928 | − | 11.9074i | −0.799871 | − | 0.390458i | ||||
\(931\) | −3.46018 | − | 17.0303i | −0.113403 | − | 0.558146i | ||||
\(932\) | −5.62121 | + | 5.68558i | −0.184129 | + | 0.186237i | ||||
\(933\) | −2.85288 | − | 2.85288i | −0.0933989 | − | 0.0933989i | ||||
\(934\) | 4.45753 | − | 4.48298i | 0.145855 | − | 0.146688i | ||||
\(935\) | −5.28972 | + | 10.7584i | −0.172992 | + | 0.351838i | ||||
\(936\) | 2.13070 | − | 2.16740i | 0.0696439 | − | 0.0708436i | ||||
\(937\) | 15.8683 | − | 15.8683i | 0.518394 | − | 0.518394i | −0.398691 | − | 0.917085i | \(-0.630535\pi\) |
0.917085 | + | 0.398691i | \(0.130535\pi\) | |||||||
\(938\) | 18.3164 | − | 22.5427i | 0.598050 | − | 0.736046i | ||||
\(939\) | −36.3980 | −1.18780 | ||||||||
\(940\) | 50.2346 | + | 24.3453i | 1.63847 | + | 0.794056i | ||||
\(941\) | −30.5605 | −0.996244 | −0.498122 | − | 0.867107i | \(-0.665977\pi\) | ||||
−0.498122 | + | 0.867107i | \(0.665977\pi\) | |||||||
\(942\) | 0.133277 | + | 46.8221i | 0.00434239 | + | 1.52555i | ||||
\(943\) | 3.37572 | + | 3.37572i | 0.109929 | + | 0.109929i | ||||
\(944\) | −0.266705 | − | 23.4234i | −0.00868051 | − | 0.762368i | ||||
\(945\) | −30.9067 | − | 11.5187i | −1.00539 | − | 0.374702i | ||||
\(946\) | 23.5169 | + | 23.3834i | 0.764600 | + | 0.760260i | ||||
\(947\) | −29.1784 | + | 29.1784i | −0.948170 | + | 0.948170i | −0.998721 | − | 0.0505511i | \(-0.983902\pi\) |
0.0505511 | + | 0.998721i | \(0.483902\pi\) | |||||||
\(948\) | −18.7820 | − | 18.5693i | −0.610009 | − | 0.603103i | ||||
\(949\) | −6.24533 | −0.202732 | ||||||||
\(950\) | 13.8713 | − | 10.7589i | 0.450044 | − | 0.349066i | ||||
\(951\) | − | 11.0945i | − | 0.359764i | ||||||
\(952\) | −10.6512 | + | 13.2625i | −0.345208 | + | 0.429839i | ||||
\(953\) | −18.6155 | + | 18.6155i | −0.603014 | + | 0.603014i | −0.941111 | − | 0.338097i | \(-0.890217\pi\) |
0.338097 | + | 0.941111i | \(0.390217\pi\) | |||||||
\(954\) | −4.15765 | − | 4.13405i | −0.134609 | − | 0.133845i | ||||
\(955\) | 2.68109 | + | 7.86775i | 0.0867579 | + | 0.254595i | ||||
\(956\) | 0.0893048 | + | 15.6870i | 0.00288832 | + | 0.507352i | ||||
\(957\) | −2.36603 | − | 2.36603i | −0.0764829 | − | 0.0764829i | ||||
\(958\) | −0.0597642 | − | 20.9961i | −0.00193089 | − | 0.678352i | ||||
\(959\) | −9.19125 | + | 11.2465i | −0.296801 | + | 0.363168i | ||||
\(960\) | 25.0998 | + | 11.8132i | 0.810094 | + | 0.381270i | ||||
\(961\) | 0.362289 | 0.0116868 | ||||||||
\(962\) | −25.3766 | + | 0.0722331i | −0.818174 | + | 0.00232889i | ||||
\(963\) | 1.59618 | + | 1.59618i | 0.0514361 | + | 0.0514361i | ||||
\(964\) | 0.246055 | + | 43.2212i | 0.00792491 | + | 1.39206i | ||||
\(965\) | 36.3007 | + | 17.8484i | 1.16856 | + | 0.574559i | ||||
\(966\) | −0.519973 | − | 5.02692i | −0.0167299 | − | 0.161738i | ||||
\(967\) | 0.812718 | + | 0.812718i | 0.0261352 | + | 0.0261352i | 0.720054 | − | 0.693918i | \(-0.244117\pi\) |
−0.693918 | + | 0.720054i | \(0.744117\pi\) | |||||||
\(968\) | −0.131308 | − | 15.3765i | −0.00422040 | − | 0.494219i | ||||
\(969\) | 8.75114 | 0.281127 | ||||||||
\(970\) | −27.1878 | + | 55.6953i | −0.872947 | + | 1.78827i | ||||
\(971\) | −20.7268 | −0.665156 | −0.332578 | − | 0.943076i | \(-0.607918\pi\) | ||||
−0.332578 | + | 0.943076i | \(0.607918\pi\) | |||||||
\(972\) | 8.55892 | − | 8.65693i | 0.274528 | − | 0.277671i | ||||
\(973\) | −7.84135 | + | 0.788539i | −0.251382 | + | 0.0252794i | ||||
\(974\) | 10.0108 | − | 10.0679i | 0.320766 | − | 0.322597i | ||||
\(975\) | 8.54874 | + | 11.0867i | 0.273779 | + | 0.355060i | ||||
\(976\) | −7.13291 | + | 0.0812170i | −0.228319 | + | 0.00259969i | ||||
\(977\) | 29.8396 | + | 29.8396i | 0.954653 | + | 0.954653i | 0.999016 | − | 0.0443625i | \(-0.0141256\pi\) |
−0.0443625 | + | 0.999016i | \(0.514126\pi\) | |||||||
\(978\) | 0.00895416 | + | 3.14573i | 0.000286322 | + | 0.100589i | ||||
\(979\) | − | 19.9881i | − | 0.638824i | ||||||
\(980\) | −15.9490 | − | 26.9375i | −0.509471 | − | 0.860488i | ||||
\(981\) | 1.48828i | 0.0475172i | ||||||||
\(982\) | 18.1514 | − | 0.0516670i | 0.579234 | − | 0.00164876i | ||||
\(983\) | 4.76417 | + | 4.76417i | 0.151953 | + | 0.151953i | 0.778990 | − | 0.627036i | \(-0.215732\pi\) |
−0.627036 | + | 0.778990i | \(0.715732\pi\) | |||||||
\(984\) | 16.8543 | − | 17.1447i | 0.537296 | − | 0.546552i | ||||
\(985\) | 26.3496 | + | 12.9556i | 0.839568 | + | 0.412800i | ||||
\(986\) | 2.08528 | + | 2.07345i | 0.0664089 | + | 0.0660320i | ||||
\(987\) | −50.9574 | + | 5.12436i | −1.62199 | + | 0.163110i | ||||
\(988\) | −6.37517 | − | 6.30299i | −0.202821 | − | 0.200525i | ||||
\(989\) | 8.65928 | 0.275349 | ||||||||
\(990\) | 4.19771 | − | 1.44380i | 0.133412 | − | 0.0458869i | ||||
\(991\) | 8.36065 | 0.265585 | 0.132792 | − | 0.991144i | \(-0.457606\pi\) | ||||
0.132792 | + | 0.991144i | \(0.457606\pi\) | |||||||
\(992\) | 31.3083 | − | 0.445615i | 0.994039 | − | 0.0141483i | ||||
\(993\) | 24.8452 | + | 24.8452i | 0.788440 | + | 0.788440i | ||||
\(994\) | −39.4600 | + | 4.08165i | −1.25160 | + | 0.129462i | ||||
\(995\) | 18.6690 | + | 54.7849i | 0.591847 | + | 1.73680i | ||||
\(996\) | 0.160793 | + | 28.2442i | 0.00509491 | + | 0.894953i | ||||
\(997\) | −4.50835 | − | 4.50835i | −0.142781 | − | 0.142781i | 0.632103 | − | 0.774884i | \(-0.282192\pi\) |
−0.774884 | + | 0.632103i | \(0.782192\pi\) | |||||||
\(998\) | −0.0409982 | − | 14.4033i | −0.00129777 | − | 0.455928i | ||||
\(999\) | −55.4078 | −1.75303 |
(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 | 280.2.s.c.237.20 | yes | 72 | |
4.3 | odd | 2 | 1120.2.w.c.657.10 | 72 | |||
5.3 | odd | 4 | inner | 280.2.s.c.13.36 | yes | 72 | |
7.6 | odd | 2 | inner | 280.2.s.c.237.19 | yes | 72 | |
8.3 | odd | 2 | 1120.2.w.c.657.27 | 72 | |||
8.5 | even | 2 | inner | 280.2.s.c.237.35 | yes | 72 | |
20.3 | even | 4 | 1120.2.w.c.433.9 | 72 | |||
28.27 | even | 2 | 1120.2.w.c.657.28 | 72 | |||
35.13 | even | 4 | inner | 280.2.s.c.13.35 | yes | 72 | |
40.3 | even | 4 | 1120.2.w.c.433.28 | 72 | |||
40.13 | odd | 4 | inner | 280.2.s.c.13.19 | ✓ | 72 | |
56.13 | odd | 2 | inner | 280.2.s.c.237.36 | yes | 72 | |
56.27 | even | 2 | 1120.2.w.c.657.9 | 72 | |||
140.83 | odd | 4 | 1120.2.w.c.433.27 | 72 | |||
280.13 | even | 4 | inner | 280.2.s.c.13.20 | yes | 72 | |
280.83 | odd | 4 | 1120.2.w.c.433.10 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.s.c.13.19 | ✓ | 72 | 40.13 | odd | 4 | inner | |
280.2.s.c.13.20 | yes | 72 | 280.13 | even | 4 | inner | |
280.2.s.c.13.35 | yes | 72 | 35.13 | even | 4 | inner | |
280.2.s.c.13.36 | yes | 72 | 5.3 | odd | 4 | inner | |
280.2.s.c.237.19 | yes | 72 | 7.6 | odd | 2 | inner | |
280.2.s.c.237.20 | yes | 72 | 1.1 | even | 1 | trivial | |
280.2.s.c.237.35 | yes | 72 | 8.5 | even | 2 | inner | |
280.2.s.c.237.36 | yes | 72 | 56.13 | odd | 2 | inner | |
1120.2.w.c.433.9 | 72 | 20.3 | even | 4 | |||
1120.2.w.c.433.10 | 72 | 280.83 | odd | 4 | |||
1120.2.w.c.433.27 | 72 | 140.83 | odd | 4 | |||
1120.2.w.c.433.28 | 72 | 40.3 | even | 4 | |||
1120.2.w.c.657.9 | 72 | 56.27 | even | 2 | |||
1120.2.w.c.657.10 | 72 | 4.3 | odd | 2 | |||
1120.2.w.c.657.27 | 72 | 8.3 | odd | 2 | |||
1120.2.w.c.657.28 | 72 | 28.27 | even | 2 |