Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(11,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 15, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.bf (of order \(24\), degree \(8\), 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: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 11.29 | ||
Character | \(\chi\) | \(=\) | 288.11 |
Dual form | 288.2.bf.a.131.29 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.365445 | + | 1.36618i | 0.258409 | + | 0.966036i | ||||
\(3\) | −0.140380 | − | 1.72635i | −0.0810486 | − | 0.996710i | ||||
\(4\) | −1.73290 | + | 0.998528i | −0.866450 | + | 0.499264i | ||||
\(5\) | −0.152157 | − | 1.15575i | −0.0680466 | − | 0.516865i | −0.991194 | − | 0.132419i | \(-0.957726\pi\) |
0.923147 | − | 0.384446i | \(-0.125608\pi\) | |||||||
\(6\) | 2.30721 | − | 0.822672i | 0.941914 | − | 0.335855i | ||||
\(7\) | −0.496625 | − | 1.85343i | −0.187706 | − | 0.700530i | −0.994035 | − | 0.109062i | \(-0.965215\pi\) |
0.806328 | − | 0.591468i | \(-0.201451\pi\) | |||||||
\(8\) | −1.99745 | − | 2.00255i | −0.706205 | − | 0.708007i | ||||
\(9\) | −2.96059 | + | 0.484692i | −0.986862 | + | 0.161564i | ||||
\(10\) | 1.52335 | − | 0.630235i | 0.481726 | − | 0.199298i | ||||
\(11\) | 3.87378 | − | 2.97246i | 1.16799 | − | 0.896230i | 0.171947 | − | 0.985106i | \(-0.444994\pi\) |
0.996043 | + | 0.0888763i | \(0.0283276\pi\) | |||||||
\(12\) | 1.96708 | + | 2.85142i | 0.567846 | + | 0.823135i | ||||
\(13\) | 1.63147 | − | 2.12617i | 0.452489 | − | 0.589695i | −0.510284 | − | 0.860006i | \(-0.670460\pi\) |
0.962773 | + | 0.270311i | \(0.0871265\pi\) | |||||||
\(14\) | 2.35063 | − | 1.35581i | 0.628232 | − | 0.362354i | ||||
\(15\) | −1.97386 | + | 0.424920i | −0.509649 | + | 0.109714i | ||||
\(16\) | 2.00588 | − | 3.46070i | 0.501470 | − | 0.865175i | ||||
\(17\) | −4.48513 | −1.08780 | −0.543902 | − | 0.839149i | \(-0.683054\pi\) | ||||
−0.543902 | + | 0.839149i | \(0.683054\pi\) | |||||||
\(18\) | −1.74411 | − | 3.86757i | −0.411090 | − | 0.911595i | ||||
\(19\) | 1.00431 | − | 0.415998i | 0.230404 | − | 0.0954365i | −0.264495 | − | 0.964387i | \(-0.585205\pi\) |
0.494899 | + | 0.868951i | \(0.335205\pi\) | |||||||
\(20\) | 1.41772 | + | 1.85086i | 0.317011 | + | 0.413864i | ||||
\(21\) | −3.12996 | + | 1.11753i | −0.683012 | + | 0.243866i | ||||
\(22\) | 5.47657 | + | 4.20602i | 1.16761 | + | 0.896726i | ||||
\(23\) | −0.329076 | − | 0.0881758i | −0.0686172 | − | 0.0183859i | 0.224347 | − | 0.974509i | \(-0.427975\pi\) |
−0.292964 | + | 0.956123i | \(0.594642\pi\) | |||||||
\(24\) | −3.17670 | + | 3.72942i | −0.648441 | + | 0.761265i | ||||
\(25\) | 3.51703 | − | 0.942386i | 0.703407 | − | 0.188477i | ||||
\(26\) | 3.50095 | + | 1.45188i | 0.686593 | + | 0.284738i | ||||
\(27\) | 1.25236 | + | 5.04298i | 0.241016 | + | 0.970521i | ||||
\(28\) | 2.71130 | + | 2.71591i | 0.512388 | + | 0.513259i | ||||
\(29\) | −5.80978 | − | 0.764873i | −1.07885 | − | 0.142033i | −0.429909 | − | 0.902872i | \(-0.641454\pi\) |
−0.648941 | + | 0.760839i | \(0.724788\pi\) | |||||||
\(30\) | −1.30186 | − | 2.54137i | −0.237685 | − | 0.463989i | ||||
\(31\) | 4.83932 | − | 2.79398i | 0.869168 | − | 0.501814i | 0.00209645 | − | 0.999998i | \(-0.499333\pi\) |
0.867072 | + | 0.498183i | \(0.165999\pi\) | |||||||
\(32\) | 5.46098 | + | 1.47570i | 0.965374 | + | 0.260870i | ||||
\(33\) | −5.67531 | − | 6.27024i | −0.987945 | − | 1.09151i | ||||
\(34\) | −1.63907 | − | 6.12750i | −0.281098 | − | 1.05086i | ||||
\(35\) | −2.06653 | + | 0.855983i | −0.349307 | + | 0.144688i | ||||
\(36\) | 4.64642 | − | 3.79615i | 0.774403 | − | 0.632692i | ||||
\(37\) | −2.90428 | + | 7.01154i | −0.477460 | + | 1.15269i | 0.483336 | + | 0.875435i | \(0.339425\pi\) |
−0.960796 | + | 0.277255i | \(0.910575\pi\) | |||||||
\(38\) | 0.935348 | + | 1.22004i | 0.151733 | + | 0.197917i | ||||
\(39\) | −3.89955 | − | 2.51802i | −0.624428 | − | 0.403206i | ||||
\(40\) | −2.01051 | + | 2.61324i | −0.317889 | + | 0.413190i | ||||
\(41\) | −0.987619 | + | 3.68584i | −0.154240 | + | 0.575632i | 0.844929 | + | 0.534878i | \(0.179643\pi\) |
−0.999169 | + | 0.0407537i | \(0.987024\pi\) | |||||||
\(42\) | −2.67058 | − | 3.86769i | −0.412080 | − | 0.596797i | ||||
\(43\) | 7.23706 | + | 9.43152i | 1.10364 | + | 1.43829i | 0.886839 | + | 0.462078i | \(0.152896\pi\) |
0.216802 | + | 0.976216i | \(0.430437\pi\) | |||||||
\(44\) | −3.74479 | + | 9.01905i | −0.564549 | + | 1.35967i | ||||
\(45\) | 1.01065 | + | 3.34793i | 0.150659 | + | 0.499081i | ||||
\(46\) | 0.000204623 | − | 0.481801i | 3.01700e−5 | − | 0.0710377i | ||||
\(47\) | −3.25721 | − | 1.88055i | −0.475114 | − | 0.274307i | 0.243264 | − | 0.969960i | \(-0.421782\pi\) |
−0.718378 | + | 0.695653i | \(0.755115\pi\) | |||||||
\(48\) | −6.25597 | − | 2.97705i | −0.902972 | − | 0.429700i | ||||
\(49\) | 2.87362 | − | 1.65908i | 0.410517 | − | 0.237012i | ||||
\(50\) | 2.57275 | + | 4.46051i | 0.363842 | + | 0.630812i | ||||
\(51\) | 0.629624 | + | 7.74292i | 0.0881650 | + | 1.08423i | ||||
\(52\) | −0.704130 | + | 5.31352i | −0.0976452 | + | 0.736852i | ||||
\(53\) | −3.91618 | + | 9.45448i | −0.537928 | + | 1.29867i | 0.388239 | + | 0.921559i | \(0.373084\pi\) |
−0.926167 | + | 0.377114i | \(0.876916\pi\) | |||||||
\(54\) | −6.43195 | + | 3.55388i | −0.875277 | + | 0.483621i | ||||
\(55\) | −4.02483 | − | 4.02483i | −0.542708 | − | 0.542708i | ||||
\(56\) | −2.71959 | + | 4.69665i | −0.363421 | + | 0.627616i | ||||
\(57\) | −0.859144 | − | 1.67539i | −0.113796 | − | 0.221911i | ||||
\(58\) | −1.07820 | − | 8.21673i | −0.141575 | − | 1.07891i | ||||
\(59\) | 0.952686 | − | 0.125424i | 0.124029 | − | 0.0163288i | −0.0682560 | − | 0.997668i | \(-0.521743\pi\) |
0.192285 | + | 0.981339i | \(0.438410\pi\) | |||||||
\(60\) | 2.99621 | − | 2.70730i | 0.386809 | − | 0.349511i | ||||
\(61\) | 1.55814 | − | 11.8353i | 0.199500 | − | 1.51535i | −0.539696 | − | 0.841860i | \(-0.681461\pi\) |
0.739196 | − | 0.673491i | \(-0.235206\pi\) | |||||||
\(62\) | 5.58560 | + | 5.59034i | 0.709371 | + | 0.709974i | ||||
\(63\) | 2.36864 | + | 5.24653i | 0.298421 | + | 0.661000i | ||||
\(64\) | −0.0203858 | + | 7.99997i | −0.00254822 | + | 0.999997i | ||||
\(65\) | −2.70555 | − | 1.56205i | −0.335583 | − | 0.193749i | ||||
\(66\) | 6.49227 | − | 10.0449i | 0.799143 | − | 1.23645i | ||||
\(67\) | 1.54211 | − | 2.00972i | 0.188399 | − | 0.245527i | −0.689598 | − | 0.724192i | \(-0.742213\pi\) |
0.877997 | + | 0.478666i | \(0.158879\pi\) | |||||||
\(68\) | 7.77228 | − | 4.47853i | 0.942528 | − | 0.543102i | ||||
\(69\) | −0.106027 | + | 0.580480i | −0.0127641 | + | 0.0698816i | ||||
\(70\) | −1.92463 | − | 2.51043i | −0.230037 | − | 0.300054i | ||||
\(71\) | −6.68291 | − | 6.68291i | −0.793115 | − | 0.793115i | 0.188884 | − | 0.981999i | \(-0.439513\pi\) |
−0.981999 | + | 0.188884i | \(0.939513\pi\) | |||||||
\(72\) | 6.88424 | + | 4.96056i | 0.811316 | + | 0.584608i | ||||
\(73\) | −0.787037 | + | 0.787037i | −0.0921157 | + | 0.0921157i | −0.751663 | − | 0.659547i | \(-0.770748\pi\) |
0.659547 | + | 0.751663i | \(0.270748\pi\) | |||||||
\(74\) | −10.6404 | − | 1.40543i | −1.23692 | − | 0.163378i | ||||
\(75\) | −2.12061 | − | 5.93935i | −0.244867 | − | 0.685817i | ||||
\(76\) | −1.32498 | + | 1.72371i | −0.151986 | + | 0.197723i | ||||
\(77\) | −7.43306 | − | 5.70358i | −0.847075 | − | 0.649984i | ||||
\(78\) | 2.01500 | − | 6.24769i | 0.228154 | − | 0.707412i | ||||
\(79\) | 3.18314 | − | 5.51337i | 0.358132 | − | 0.620302i | −0.629517 | − | 0.776987i | \(-0.716747\pi\) |
0.987649 | + | 0.156684i | \(0.0500805\pi\) | |||||||
\(80\) | −4.30489 | − | 1.79172i | −0.481302 | − | 0.200320i | ||||
\(81\) | 8.53015 | − | 2.86994i | 0.947794 | − | 0.318883i | ||||
\(82\) | −5.39645 | − | 0.00229190i | −0.595938 | − | 0.000253098i | ||||
\(83\) | 17.9192 | + | 2.35911i | 1.96689 | + | 0.258946i | 0.999993 | + | 0.00377576i | \(0.00120186\pi\) |
0.966896 | + | 0.255170i | \(0.0821315\pi\) | |||||||
\(84\) | 4.30801 | − | 5.06192i | 0.470042 | − | 0.552301i | ||||
\(85\) | 0.682443 | + | 5.18367i | 0.0740213 | + | 0.562248i | ||||
\(86\) | −10.2404 | + | 13.3338i | −1.10425 | + | 1.43782i | ||||
\(87\) | −0.504860 | + | 10.1371i | −0.0541267 | + | 1.08681i | ||||
\(88\) | −13.6902 | − | 1.82009i | −1.45938 | − | 0.194023i | ||||
\(89\) | −2.96906 | + | 2.96906i | −0.314720 | + | 0.314720i | −0.846735 | − | 0.532015i | \(-0.821435\pi\) |
0.532015 | + | 0.846735i | \(0.321435\pi\) | |||||||
\(90\) | −4.20455 | + | 2.60422i | −0.443198 | + | 0.274509i | ||||
\(91\) | −4.75094 | − | 1.96790i | −0.498034 | − | 0.206292i | ||||
\(92\) | 0.658302 | − | 0.175792i | 0.0686328 | − | 0.0183276i | ||||
\(93\) | −5.50275 | − | 7.96216i | −0.570608 | − | 0.825637i | ||||
\(94\) | 1.37884 | − | 5.13718i | 0.142217 | − | 0.529860i | ||||
\(95\) | −0.633600 | − | 1.09743i | −0.0650060 | − | 0.112594i | ||||
\(96\) | 1.78097 | − | 9.63474i | 0.181769 | − | 0.983341i | ||||
\(97\) | −1.67561 | + | 2.90224i | −0.170132 | + | 0.294678i | −0.938466 | − | 0.345372i | \(-0.887753\pi\) |
0.768334 | + | 0.640049i | \(0.221086\pi\) | |||||||
\(98\) | 3.31676 | + | 3.31958i | 0.335043 | + | 0.335328i | ||||
\(99\) | −10.0279 | + | 10.6778i | −1.00785 | + | 1.07316i | ||||
\(100\) | −5.15367 | + | 5.14492i | −0.515367 | + | 0.514492i | ||||
\(101\) | 9.93629 | − | 7.62438i | 0.988698 | − | 0.758654i | 0.0182173 | − | 0.999834i | \(-0.494201\pi\) |
0.970481 | + | 0.241180i | \(0.0775343\pi\) | |||||||
\(102\) | −10.3481 | + | 3.68979i | −1.02462 | + | 0.365344i | ||||
\(103\) | −3.80296 | − | 1.01900i | −0.374717 | − | 0.100405i | 0.0665452 | − | 0.997783i | \(-0.478802\pi\) |
−0.441262 | + | 0.897378i | \(0.645469\pi\) | |||||||
\(104\) | −7.51654 | + | 0.979831i | −0.737058 | + | 0.0960803i | ||||
\(105\) | 1.76783 | + | 3.44739i | 0.172522 | + | 0.336431i | ||||
\(106\) | −14.3477 | − | 1.89511i | −1.39357 | − | 0.184069i | ||||
\(107\) | 10.9410 | + | 4.53190i | 1.05770 | + | 0.438115i | 0.842636 | − | 0.538484i | \(-0.181003\pi\) |
0.215068 | + | 0.976599i | \(0.431003\pi\) | |||||||
\(108\) | −7.20576 | − | 7.48846i | −0.693375 | − | 0.720577i | ||||
\(109\) | 5.21100 | + | 12.5805i | 0.499124 | + | 1.20499i | 0.949956 | + | 0.312383i | \(0.101127\pi\) |
−0.450833 | + | 0.892608i | \(0.648873\pi\) | |||||||
\(110\) | 4.02779 | − | 6.96949i | 0.384034 | − | 0.664515i | ||||
\(111\) | 12.5121 | + | 4.02952i | 1.18760 | + | 0.382465i | ||||
\(112\) | −7.41033 | − | 1.99909i | −0.700210 | − | 0.188896i | ||||
\(113\) | −1.89610 | − | 3.28415i | −0.178370 | − | 0.308947i | 0.762952 | − | 0.646455i | \(-0.223749\pi\) |
−0.941323 | + | 0.337508i | \(0.890416\pi\) | |||||||
\(114\) | 1.97492 | − | 1.78601i | 0.184968 | − | 0.167275i | ||||
\(115\) | −0.0518375 | + | 0.393745i | −0.00483387 | + | 0.0367169i | ||||
\(116\) | 10.8315 | − | 4.47579i | 1.00568 | − | 0.415566i | ||||
\(117\) | −3.79957 | + | 7.08548i | −0.351270 | + | 0.655053i | ||||
\(118\) | 0.519506 | + | 1.25571i | 0.0478244 | + | 0.115597i | ||||
\(119\) | 2.22743 | + | 8.31287i | 0.204188 | + | 0.762040i | ||||
\(120\) | 4.79362 | + | 3.10400i | 0.437595 | + | 0.283355i | ||||
\(121\) | 3.32368 | − | 12.4041i | 0.302152 | − | 1.12765i | ||||
\(122\) | 16.7385 | − | 2.19644i | 1.51544 | − | 0.198856i | ||||
\(123\) | 6.50171 | + | 1.18756i | 0.586239 | + | 0.107079i | ||||
\(124\) | −5.59619 | + | 9.67390i | −0.502553 | + | 0.868742i | ||||
\(125\) | −3.85480 | − | 9.30632i | −0.344784 | − | 0.832383i | ||||
\(126\) | −6.30209 | + | 5.15331i | −0.561435 | + | 0.459093i | ||||
\(127\) | 0.602538i | 0.0534666i | 0.999643 | + | 0.0267333i | \(0.00851049\pi\) | ||||
−0.999643 | + | 0.0267333i | \(0.991490\pi\) | |||||||
\(128\) | −10.9369 | + | 2.89570i | −0.966691 | + | 0.255946i | ||||
\(129\) | 15.2662 | − | 13.8177i | 1.34411 | − | 1.21658i | ||||
\(130\) | 1.14531 | − | 4.26712i | 0.100451 | − | 0.374251i | ||||
\(131\) | 5.60471 | + | 4.30064i | 0.489685 | + | 0.375749i | 0.823888 | − | 0.566752i | \(-0.191800\pi\) |
−0.334203 | + | 0.942501i | \(0.608467\pi\) | |||||||
\(132\) | 16.0958 | + | 5.19874i | 1.40096 | + | 0.452492i | ||||
\(133\) | −1.26979 | − | 1.65482i | −0.110104 | − | 0.143491i | ||||
\(134\) | 3.30920 | + | 1.37236i | 0.285872 | + | 0.118554i | ||||
\(135\) | 5.63784 | − | 2.21473i | 0.485228 | − | 0.190613i | ||||
\(136\) | 8.95883 | + | 8.98168i | 0.768213 | + | 0.770173i | ||||
\(137\) | 13.7801 | − | 3.69237i | 1.17731 | − | 0.315461i | 0.383454 | − | 0.923560i | \(-0.374734\pi\) |
0.793861 | + | 0.608099i | \(0.208068\pi\) | |||||||
\(138\) | −0.831788 | + | 0.0672822i | −0.0708065 | + | 0.00572744i | ||||
\(139\) | 7.76450 | − | 1.02222i | 0.658576 | − | 0.0867032i | 0.206171 | − | 0.978516i | \(-0.433900\pi\) |
0.452405 | + | 0.891813i | \(0.350566\pi\) | |||||||
\(140\) | 2.72636 | − | 3.54682i | 0.230419 | − | 0.299761i | ||||
\(141\) | −2.78925 | + | 5.88709i | −0.234897 | + | 0.495783i | ||||
\(142\) | 6.68782 | − | 11.5723i | 0.561230 | − | 0.971126i | ||||
\(143\) | − | 13.0858i | − | 1.09429i | ||||||
\(144\) | −4.26121 | + | 11.2179i | −0.355101 | + | 0.934828i | ||||
\(145\) | 6.83101i | 0.567285i | ||||||||
\(146\) | −1.36285 | − | 0.787615i | −0.112791 | − | 0.0651835i | ||||
\(147\) | −3.26756 | − | 4.72797i | −0.269504 | − | 0.389957i | ||||
\(148\) | −1.96841 | − | 15.0503i | −0.161802 | − | 1.23713i | ||||
\(149\) | −16.4859 | + | 2.17041i | −1.35058 | + | 0.177807i | −0.770857 | − | 0.637009i | \(-0.780172\pi\) |
−0.579720 | + | 0.814815i | \(0.696838\pi\) | |||||||
\(150\) | 7.33925 | − | 5.06765i | 0.599248 | − | 0.413772i | ||||
\(151\) | −9.68466 | + | 2.59500i | −0.788127 | + | 0.211178i | −0.630365 | − | 0.776299i | \(-0.717095\pi\) |
−0.157762 | + | 0.987477i | \(0.550428\pi\) | |||||||
\(152\) | −2.83911 | − | 1.18024i | −0.230282 | − | 0.0957300i | ||||
\(153\) | 13.2786 | − | 2.17391i | 1.07351 | − | 0.175750i | ||||
\(154\) | 5.07575 | − | 12.2392i | 0.409016 | − | 0.986266i | ||||
\(155\) | −3.96547 | − | 5.16790i | −0.318514 | − | 0.415096i | ||||
\(156\) | 9.27185 | + | 0.469663i | 0.742342 | + | 0.0376031i | ||||
\(157\) | 17.8272 | + | 13.6793i | 1.42277 | + | 1.09173i | 0.980871 | + | 0.194659i | \(0.0623600\pi\) |
0.441894 | + | 0.897067i | \(0.354307\pi\) | |||||||
\(158\) | 8.69552 | + | 2.33392i | 0.691779 | + | 0.185676i | ||||
\(159\) | 16.8715 | + | 5.43348i | 1.33800 | + | 0.430903i | ||||
\(160\) | 0.874610 | − | 6.53604i | 0.0691440 | − | 0.516719i | ||||
\(161\) | 0.653710i | 0.0515196i | ||||||||
\(162\) | 7.03816 | + | 10.6049i | 0.552970 | + | 0.833201i | ||||
\(163\) | −3.18448 | − | 7.68801i | −0.249428 | − | 0.602171i | 0.748728 | − | 0.662877i | \(-0.230665\pi\) |
−0.998156 | + | 0.0607058i | \(0.980665\pi\) | |||||||
\(164\) | −1.96898 | − | 7.37336i | −0.153751 | − | 0.575763i | ||||
\(165\) | −6.38326 | + | 7.51328i | −0.496936 | + | 0.584908i | ||||
\(166\) | 3.32552 | + | 25.3430i | 0.258110 | + | 1.96700i | ||||
\(167\) | −1.78966 | + | 6.67910i | −0.138488 | + | 0.516844i | 0.861471 | + | 0.507806i | \(0.169543\pi\) |
−0.999959 | + | 0.00903759i | \(0.997123\pi\) | |||||||
\(168\) | 8.48984 | + | 4.03566i | 0.655006 | + | 0.311358i | ||||
\(169\) | 1.50573 | + | 5.61945i | 0.115825 | + | 0.432266i | ||||
\(170\) | −6.83243 | + | 2.82669i | −0.524024 | + | 0.216797i | ||||
\(171\) | −2.77171 | + | 1.71838i | −0.211958 | + | 0.131408i | ||||
\(172\) | −21.9587 | − | 9.11747i | −1.67434 | − | 0.695200i | ||||
\(173\) | −0.986445 | + | 7.49279i | −0.0749980 | + | 0.569666i | 0.912150 | + | 0.409857i | \(0.134421\pi\) |
−0.987148 | + | 0.159810i | \(0.948912\pi\) | |||||||
\(174\) | −14.0336 | + | 3.01483i | −1.06389 | + | 0.228553i | ||||
\(175\) | −3.49329 | − | 6.05056i | −0.264068 | − | 0.457379i | ||||
\(176\) | −2.51643 | − | 19.3684i | −0.189683 | − | 1.45995i | ||||
\(177\) | −0.350264 | − | 1.62707i | −0.0263274 | − | 0.122298i | ||||
\(178\) | −5.14130 | − | 2.97124i | −0.385357 | − | 0.222704i | ||||
\(179\) | −8.90629 | − | 21.5017i | −0.665688 | − | 1.60711i | −0.788751 | − | 0.614713i | \(-0.789272\pi\) |
0.123063 | − | 0.992399i | \(-0.460728\pi\) | |||||||
\(180\) | −5.09437 | − | 4.79247i | −0.379712 | − | 0.357210i | ||||
\(181\) | 23.2328 | + | 9.62335i | 1.72688 | + | 0.715298i | 0.999580 | + | 0.0289797i | \(0.00922581\pi\) |
0.727302 | + | 0.686318i | \(0.240774\pi\) | |||||||
\(182\) | 0.952304 | − | 7.20980i | 0.0705895 | − | 0.534426i | ||||
\(183\) | −20.6506 | − | 1.02846i | −1.52653 | − | 0.0760263i | ||||
\(184\) | 0.480738 | + | 0.835118i | 0.0354405 | + | 0.0615657i | ||||
\(185\) | 8.54546 | + | 2.28975i | 0.628275 | + | 0.168346i | ||||
\(186\) | 8.86679 | − | 10.4275i | 0.650145 | − | 0.764580i | ||||
\(187\) | −17.3744 | + | 13.3319i | −1.27054 | + | 0.974923i | ||||
\(188\) | 7.52221 | + | 0.00638943i | 0.548614 | + | 0.000465997i | ||||
\(189\) | 8.72484 | − | 4.82562i | 0.634639 | − | 0.351012i | ||||
\(190\) | 1.26774 | − | 1.26666i | 0.0919714 | − | 0.0918933i | ||||
\(191\) | −2.34881 | + | 4.06825i | −0.169954 | + | 0.294369i | −0.938403 | − | 0.345542i | \(-0.887695\pi\) |
0.768450 | + | 0.639910i | \(0.221029\pi\) | |||||||
\(192\) | 13.8136 | − | 1.08785i | 0.996913 | − | 0.0785085i | ||||
\(193\) | 5.59933 | + | 9.69833i | 0.403049 | + | 0.698101i | 0.994092 | − | 0.108539i | \(-0.0346171\pi\) |
−0.591043 | + | 0.806640i | \(0.701284\pi\) | |||||||
\(194\) | −4.57733 | − | 1.22857i | −0.328633 | − | 0.0882065i | ||||
\(195\) | −2.31685 | + | 4.89002i | −0.165913 | + | 0.350182i | ||||
\(196\) | −3.32305 | + | 5.74441i | −0.237360 | + | 0.410315i | ||||
\(197\) | −10.2796 | − | 4.25796i | −0.732394 | − | 0.303367i | −0.0148585 | − | 0.999890i | \(-0.504730\pi\) |
−0.717535 | + | 0.696522i | \(0.754730\pi\) | |||||||
\(198\) | −18.2525 | − | 9.79783i | −1.29715 | − | 0.696301i | ||||
\(199\) | 12.0444 | − | 12.0444i | 0.853803 | − | 0.853803i | −0.136796 | − | 0.990599i | \(-0.543681\pi\) |
0.990599 | + | 0.136796i | \(0.0436806\pi\) | |||||||
\(200\) | −8.91227 | − | 5.16065i | −0.630193 | − | 0.364913i | ||||
\(201\) | −3.68597 | − | 2.38011i | −0.259989 | − | 0.167880i | ||||
\(202\) | 14.0475 | + | 10.7885i | 0.988375 | + | 0.759074i | ||||
\(203\) | 1.46765 | + | 11.1479i | 0.103009 | + | 0.782427i | ||||
\(204\) | −8.82260 | − | 12.7890i | −0.617705 | − | 0.895409i | ||||
\(205\) | 4.41017 | + | 0.580610i | 0.308020 | + | 0.0405515i | ||||
\(206\) | 0.00236472 | − | 5.56792i | 0.000164758 | − | 0.387935i | ||||
\(207\) | 1.01700 | + | 0.101551i | 0.0706862 | + | 0.00705830i | ||||
\(208\) | −4.08551 | − | 9.91088i | −0.283279 | − | 0.687196i | ||||
\(209\) | 2.65393 | − | 4.59675i | 0.183576 | − | 0.317964i | ||||
\(210\) | −4.06371 | + | 3.67501i | −0.280423 | + | 0.253599i | ||||
\(211\) | −16.2026 | − | 12.4327i | −1.11543 | − | 0.855901i | −0.124763 | − | 0.992187i | \(-0.539817\pi\) |
−0.990670 | + | 0.136285i | \(0.956484\pi\) | |||||||
\(212\) | −2.65423 | − | 20.2941i | −0.182293 | − | 1.39380i | ||||
\(213\) | −10.5989 | + | 12.4752i | −0.726225 | + | 0.854787i | ||||
\(214\) | −2.19307 | + | 16.6035i | −0.149915 | + | 1.13499i | ||||
\(215\) | 9.79927 | − | 9.79927i | 0.668305 | − | 0.668305i | ||||
\(216\) | 7.59727 | − | 12.5810i | 0.516929 | − | 0.856028i | ||||
\(217\) | −7.58178 | − | 7.58178i | −0.514685 | − | 0.514685i | ||||
\(218\) | −15.2829 | + | 11.7166i | −1.03509 | + | 0.793551i | ||||
\(219\) | 1.46919 | + | 1.24822i | 0.0992785 | + | 0.0843468i | ||||
\(220\) | 10.9935 | + | 2.95572i | 0.741183 | + | 0.199274i | ||||
\(221\) | −7.31736 | + | 9.53617i | −0.492219 | + | 0.641472i | ||||
\(222\) | −0.932569 | + | 18.5664i | −0.0625899 | + | 1.24609i | ||||
\(223\) | −11.0201 | − | 6.36245i | −0.737960 | − | 0.426061i | 0.0833671 | − | 0.996519i | \(-0.473433\pi\) |
−0.821327 | + | 0.570457i | \(0.806766\pi\) | |||||||
\(224\) | 0.0230496 | − | 10.8544i | 0.00154007 | − | 0.725241i | ||||
\(225\) | −9.95572 | + | 4.49469i | −0.663714 | + | 0.299646i | ||||
\(226\) | 3.79382 | − | 3.79060i | 0.252361 | − | 0.252147i | ||||
\(227\) | 2.99712 | − | 22.7654i | 0.198926 | − | 1.51099i | −0.542555 | − | 0.840020i | \(-0.682543\pi\) |
0.741481 | − | 0.670974i | \(-0.234124\pi\) | |||||||
\(228\) | 3.16174 | + | 2.04541i | 0.209391 | + | 0.135460i | ||||
\(229\) | −14.8209 | + | 1.95121i | −0.979393 | + | 0.128940i | −0.603190 | − | 0.797598i | \(-0.706104\pi\) |
−0.376203 | + | 0.926537i | \(0.622771\pi\) | |||||||
\(230\) | −0.556871 | + | 0.0730728i | −0.0367190 | + | 0.00481828i | ||||
\(231\) | −8.80294 | + | 13.6327i | −0.579191 | + | 0.896969i | ||||
\(232\) | 10.0731 | + | 13.1622i | 0.661329 | + | 0.864138i | ||||
\(233\) | 7.68982 | + | 7.68982i | 0.503777 | + | 0.503777i | 0.912609 | − | 0.408833i | \(-0.134064\pi\) |
−0.408833 | + | 0.912609i | \(0.634064\pi\) | |||||||
\(234\) | −11.0686 | − | 2.60155i | −0.723576 | − | 0.170068i | ||||
\(235\) | −1.67783 | + | 4.05065i | −0.109450 | + | 0.264235i | ||||
\(236\) | −1.52567 | + | 1.16863i | −0.0993127 | + | 0.0760714i | ||||
\(237\) | −9.96487 | − | 4.72126i | −0.647288 | − | 0.306679i | ||||
\(238\) | −10.5429 | + | 6.08097i | −0.683393 | + | 0.394171i | ||||
\(239\) | 3.38369 | − | 1.95358i | 0.218873 | − | 0.126366i | −0.386555 | − | 0.922266i | \(-0.626335\pi\) |
0.605428 | + | 0.795900i | \(0.293002\pi\) | |||||||
\(240\) | −2.48882 | + | 7.68329i | −0.160652 | + | 0.495954i | ||||
\(241\) | −24.7577 | − | 14.2939i | −1.59479 | − | 0.920751i | −0.992469 | − | 0.122494i | \(-0.960911\pi\) |
−0.602318 | − | 0.798257i | \(-0.705756\pi\) | |||||||
\(242\) | 18.1609 | + | 0.00771302i | 1.16743 | + | 0.000495812i | ||||
\(243\) | −6.15200 | − | 14.3232i | −0.394651 | − | 0.918831i | ||||
\(244\) | 9.11775 | + | 22.0652i | 0.583704 | + | 1.41258i | ||||
\(245\) | −2.35472 | − | 3.06873i | −0.150437 | − | 0.196054i | ||||
\(246\) | 0.753599 | + | 9.31650i | 0.0480477 | + | 0.593998i | ||||
\(247\) | 0.754015 | − | 2.81402i | 0.0479768 | − | 0.179052i | ||||
\(248\) | −15.2614 | − | 4.11013i | −0.969099 | − | 0.260993i | ||||
\(249\) | 1.55715 | − | 31.2661i | 0.0986803 | − | 1.98141i | ||||
\(250\) | 11.3054 | − | 8.66731i | 0.715016 | − | 0.548169i | ||||
\(251\) | −2.34809 | + | 5.66878i | −0.148210 | + | 0.357810i | −0.980497 | − | 0.196535i | \(-0.937031\pi\) |
0.832287 | + | 0.554345i | \(0.187031\pi\) | |||||||
\(252\) | −9.34342 | − | 6.72655i | −0.588580 | − | 0.423733i | ||||
\(253\) | −1.53687 | + | 0.636592i | −0.0966222 | + | 0.0400222i | ||||
\(254\) | −0.823176 | + | 0.220195i | −0.0516507 | + | 0.0138162i | ||||
\(255\) | 8.85304 | − | 1.90582i | 0.554399 | − | 0.119347i | ||||
\(256\) | −7.95287 | − | 13.8835i | −0.497055 | − | 0.867719i | ||||
\(257\) | −8.35257 | + | 4.82236i | −0.521019 | + | 0.300810i | −0.737351 | − | 0.675509i | \(-0.763924\pi\) |
0.216333 | + | 0.976320i | \(0.430590\pi\) | |||||||
\(258\) | 24.4565 | + | 15.8068i | 1.52259 | + | 0.984086i | ||||
\(259\) | 14.4377 | + | 1.90076i | 0.897117 | + | 0.118108i | ||||
\(260\) | 6.24821 | + | 0.00530728i | 0.387497 | + | 0.000329144i | ||||
\(261\) | 17.5711 | − | 0.551484i | 1.08762 | − | 0.0341360i | ||||
\(262\) | −3.82724 | + | 9.22869i | −0.236448 | + | 0.570150i | ||||
\(263\) | −30.5078 | + | 8.17454i | −1.88119 | + | 0.504063i | −0.881712 | + | 0.471789i | \(0.843608\pi\) |
−0.999479 | + | 0.0322745i | \(0.989725\pi\) | |||||||
\(264\) | −1.22029 | + | 23.8896i | −0.0751038 | + | 1.47030i | ||||
\(265\) | 11.5228 | + | 3.08754i | 0.707843 | + | 0.189666i | ||||
\(266\) | 1.79674 | − | 2.33950i | 0.110165 | − | 0.143444i | ||||
\(267\) | 5.54244 | + | 4.70885i | 0.339192 | + | 0.288177i | ||||
\(268\) | −0.665564 | + | 5.02249i | −0.0406558 | + | 0.306798i | ||||
\(269\) | 21.1423 | − | 8.75744i | 1.28907 | − | 0.533951i | 0.370362 | − | 0.928887i | \(-0.379233\pi\) |
0.918708 | + | 0.394937i | \(0.129233\pi\) | |||||||
\(270\) | 5.08604 | + | 6.89295i | 0.309527 | + | 0.419491i | ||||
\(271\) | −11.0776 | −0.672917 | −0.336459 | − | 0.941698i | \(-0.609229\pi\) | ||||
−0.336459 | + | 0.941698i | \(0.609229\pi\) | |||||||
\(272\) | −8.99664 | + | 15.5217i | −0.545502 | + | 0.941141i | ||||
\(273\) | −2.73036 | + | 8.47805i | −0.165249 | + | 0.513115i | ||||
\(274\) | 10.0803 | + | 17.4768i | 0.608975 | + | 1.05581i | ||||
\(275\) | 10.8230 | − | 14.1048i | 0.652653 | − | 0.850554i | ||||
\(276\) | −0.395892 | − | 1.11178i | −0.0238299 | − | 0.0669215i | ||||
\(277\) | −4.19306 | + | 3.21745i | −0.251937 | + | 0.193318i | −0.727007 | − | 0.686630i | \(-0.759089\pi\) |
0.475070 | + | 0.879948i | \(0.342423\pi\) | |||||||
\(278\) | 4.23403 | + | 10.2341i | 0.253940 | + | 0.613803i | ||||
\(279\) | −12.9730 | + | 10.6174i | −0.776674 | + | 0.635648i | ||||
\(280\) | 5.84193 | + | 2.42853i | 0.349122 | + | 0.145133i | ||||
\(281\) | 7.51836 | + | 28.0589i | 0.448508 | + | 1.67385i | 0.706505 | + | 0.707708i | \(0.250271\pi\) |
−0.257997 | + | 0.966146i | \(0.583062\pi\) | |||||||
\(282\) | −9.06215 | − | 1.65921i | −0.539643 | − | 0.0988045i | ||||
\(283\) | 1.55835 | + | 11.8369i | 0.0926345 | + | 0.703629i | 0.973242 | + | 0.229782i | \(0.0738015\pi\) |
−0.880608 | + | 0.473846i | \(0.842865\pi\) | |||||||
\(284\) | 18.2539 | + | 4.90773i | 1.08317 | + | 0.291220i | ||||
\(285\) | −1.80560 | + | 1.24787i | −0.106955 | + | 0.0739177i | ||||
\(286\) | 17.8776 | − | 4.78215i | 1.05712 | − | 0.282774i | ||||
\(287\) | 7.32192 | 0.432200 | ||||||||
\(288\) | −16.8830 | − | 1.72205i | −0.994838 | − | 0.101473i | ||||
\(289\) | 3.11640 | 0.183318 | ||||||||
\(290\) | −9.33240 | + | 2.49636i | −0.548017 | + | 0.146591i | ||||
\(291\) | 5.24551 | + | 2.48527i | 0.307497 | + | 0.145689i | ||||
\(292\) | 0.577977 | − | 2.14973i | 0.0338235 | − | 0.125804i | ||||
\(293\) | 1.49049 | + | 11.3214i | 0.0870756 | + | 0.661405i | 0.978203 | + | 0.207651i | \(0.0665820\pi\) |
−0.891127 | + | 0.453753i | \(0.850085\pi\) | |||||||
\(294\) | 5.26515 | − | 6.19189i | 0.307070 | − | 0.361119i | ||||
\(295\) | −0.289915 | − | 1.08198i | −0.0168795 | − | 0.0629952i | ||||
\(296\) | 19.8421 | − | 8.18926i | 1.15330 | − | 0.475991i | ||||
\(297\) | 19.8414 | + | 15.8128i | 1.15131 | + | 0.917552i | ||||
\(298\) | −8.98986 | − | 21.7295i | −0.520769 | − | 1.25876i | ||||
\(299\) | −0.724356 | + | 0.555818i | −0.0418906 | + | 0.0321438i | ||||
\(300\) | 9.60542 | + | 8.17480i | 0.554569 | + | 0.471972i | ||||
\(301\) | 13.8865 | − | 18.0973i | 0.800407 | − | 1.04311i | ||||
\(302\) | −7.08445 | − | 12.2827i | −0.407664 | − | 0.706788i | ||||
\(303\) | −14.5572 | − | 16.0832i | −0.836291 | − | 0.923957i | ||||
\(304\) | 0.574879 | − | 4.31005i | 0.0329716 | − | 0.247198i | ||||
\(305\) | −13.9156 | −0.796807 | ||||||||
\(306\) | 7.82256 | + | 17.3466i | 0.447186 | + | 0.991636i | ||||
\(307\) | −30.1275 | + | 12.4792i | −1.71947 | + | 0.712228i | −0.719630 | + | 0.694358i | \(0.755688\pi\) |
−0.999840 | + | 0.0178696i | \(0.994312\pi\) | |||||||
\(308\) | 18.5759 | + | 2.46162i | 1.05846 | + | 0.140264i | ||||
\(309\) | −1.22529 | + | 6.70829i | −0.0697044 | + | 0.381622i | ||||
\(310\) | 5.61113 | − | 7.30613i | 0.318691 | − | 0.414961i | ||||
\(311\) | 3.57862 | + | 0.958889i | 0.202925 | + | 0.0543736i | 0.358850 | − | 0.933395i | \(-0.383169\pi\) |
−0.155925 | + | 0.987769i | \(0.549836\pi\) | |||||||
\(312\) | 2.74671 | + | 12.8387i | 0.155502 | + | 0.726846i | ||||
\(313\) | −4.60631 | + | 1.23426i | −0.260364 | + | 0.0697643i | −0.386640 | − | 0.922231i | \(-0.626364\pi\) |
0.126276 | + | 0.991995i | \(0.459698\pi\) | |||||||
\(314\) | −12.1735 | + | 29.3542i | −0.686991 | + | 1.65655i | ||||
\(315\) | 5.70324 | − | 3.53584i | 0.321341 | − | 0.199222i | ||||
\(316\) | −0.0108152 | + | 12.7326i | −0.000608400 | + | 0.716263i | ||||
\(317\) | −3.12929 | − | 0.411979i | −0.175758 | − | 0.0231390i | 0.0421332 | − | 0.999112i | \(-0.486585\pi\) |
−0.217892 | + | 0.975973i | \(0.569918\pi\) | |||||||
\(318\) | −1.25749 | + | 25.0352i | −0.0705166 | + | 1.40390i | ||||
\(319\) | −24.7794 | + | 14.3064i | −1.38738 | + | 0.801004i | ||||
\(320\) | 9.24903 | − | 1.19369i | 0.517037 | − | 0.0667293i | ||||
\(321\) | 6.28776 | − | 19.5242i | 0.350949 | − | 1.08973i | ||||
\(322\) | −0.893086 | + | 0.238895i | −0.0497697 | + | 0.0133131i | ||||
\(323\) | −4.50445 | + | 1.86581i | −0.250634 | + | 0.103816i | ||||
\(324\) | −11.9162 | + | 13.4909i | −0.662009 | + | 0.749496i | ||||
\(325\) | 3.73426 | − | 9.01530i | 0.207139 | − | 0.500079i | ||||
\(326\) | 9.33946 | − | 7.16012i | 0.517265 | − | 0.396562i | ||||
\(327\) | 20.9868 | − | 10.7621i | 1.16057 | − | 0.595144i | ||||
\(328\) | 9.35379 | − | 5.38454i | 0.516477 | − | 0.297311i | ||||
\(329\) | −1.86786 | + | 6.97094i | −0.102978 | + | 0.384321i | ||||
\(330\) | −12.5972 | − | 5.97500i | −0.693455 | − | 0.328913i | ||||
\(331\) | 10.9540 | + | 14.2755i | 0.602085 | + | 0.784652i | 0.990600 | − | 0.136790i | \(-0.0436786\pi\) |
−0.388515 | + | 0.921442i | \(0.627012\pi\) | |||||||
\(332\) | −33.4078 | + | 13.8047i | −1.83349 | + | 0.757634i | ||||
\(333\) | 5.19992 | − | 22.1660i | 0.284954 | − | 1.21469i | ||||
\(334\) | −9.77887 | − | 0.00415313i | −0.535076 | − | 0.000227249i | ||||
\(335\) | −2.55737 | − | 1.47650i | −0.139724 | − | 0.0806697i | ||||
\(336\) | −2.41087 | + | 13.0735i | −0.131524 | + | 0.713216i | ||||
\(337\) | −21.5782 | + | 12.4582i | −1.17544 | + | 0.678641i | −0.954955 | − | 0.296750i | \(-0.904097\pi\) |
−0.220485 | + | 0.975390i | \(0.570764\pi\) | |||||||
\(338\) | −7.12693 | + | 4.11070i | −0.387654 | + | 0.223593i | ||||
\(339\) | −5.40342 | + | 3.73437i | −0.293474 | + | 0.202823i | ||||
\(340\) | −6.35865 | − | 8.30134i | −0.344846 | − | 0.450203i | ||||
\(341\) | 10.4415 | − | 25.2080i | 0.565438 | − | 1.36509i | ||||
\(342\) | −3.36052 | − | 3.15868i | −0.181716 | − | 0.170802i | ||||
\(343\) | −13.9997 | − | 13.9997i | −0.755914 | − | 0.755914i | ||||
\(344\) | 4.43139 | − | 33.3315i | 0.238925 | − | 1.79712i | ||||
\(345\) | 0.687020 | + | 0.0342158i | 0.0369879 | + | 0.00184212i | ||||
\(346\) | −10.5970 | + | 1.39054i | −0.569698 | + | 0.0747560i | ||||
\(347\) | −23.5985 | + | 3.10680i | −1.26683 | + | 0.166782i | −0.733830 | − | 0.679333i | \(-0.762269\pi\) |
−0.533001 | + | 0.846114i | \(0.678936\pi\) | |||||||
\(348\) | −9.24732 | − | 18.0707i | −0.495708 | − | 0.968692i | ||||
\(349\) | 0.937142 | − | 7.11830i | 0.0501641 | − | 0.381034i | −0.947886 | − | 0.318611i | \(-0.896784\pi\) |
0.998050 | − | 0.0624233i | \(-0.0198829\pi\) | |||||||
\(350\) | 6.98955 | − | 6.98362i | 0.373607 | − | 0.373290i | ||||
\(351\) | 12.7654 | + | 5.56474i | 0.681368 | + | 0.297024i | ||||
\(352\) | 25.5411 | − | 10.5160i | 1.36135 | − | 0.560504i | ||||
\(353\) | 4.86328 | + | 2.80781i | 0.258846 | + | 0.149445i | 0.623808 | − | 0.781578i | \(-0.285585\pi\) |
−0.364962 | + | 0.931022i | \(0.618918\pi\) | |||||||
\(354\) | 2.09486 | − | 1.07313i | 0.111341 | − | 0.0570360i | ||||
\(355\) | −6.70689 | + | 8.74059i | −0.355965 | + | 0.463902i | ||||
\(356\) | 2.18039 | − | 8.10978i | 0.115561 | − | 0.429817i | ||||
\(357\) | 14.0383 | − | 5.01229i | 0.742983 | − | 0.265278i | ||||
\(358\) | 26.1204 | − | 20.0253i | 1.38051 | − | 1.05837i | ||||
\(359\) | 10.4889 | + | 10.4889i | 0.553582 | + | 0.553582i | 0.927473 | − | 0.373891i | \(-0.121977\pi\) |
−0.373891 | + | 0.927473i | \(0.621977\pi\) | |||||||
\(360\) | 4.68567 | − | 8.71121i | 0.246956 | − | 0.459121i | ||||
\(361\) | −12.5994 | + | 12.5994i | −0.663129 | + | 0.663129i | ||||
\(362\) | −4.65691 | + | 35.2570i | −0.244762 | + | 1.85307i | ||||
\(363\) | −21.8805 | − | 3.99654i | −1.14843 | − | 0.209764i | ||||
\(364\) | 10.1979 | − | 1.33377i | 0.534516 | − | 0.0699085i | ||||
\(365\) | 1.02937 | + | 0.789861i | 0.0538795 | + | 0.0413432i | ||||
\(366\) | −6.14159 | − | 28.5883i | −0.321026 | − | 1.49433i | ||||
\(367\) | 4.13255 | − | 7.15779i | 0.215718 | − | 0.373634i | −0.737777 | − | 0.675045i | \(-0.764124\pi\) |
0.953494 | + | 0.301411i | \(0.0974576\pi\) | |||||||
\(368\) | −0.965238 | + | 0.961964i | −0.0503165 | + | 0.0501459i | ||||
\(369\) | 1.13743 | − | 11.3910i | 0.0592124 | − | 0.592989i | ||||
\(370\) | −0.00531366 | + | 12.5114i | −0.000276244 | + | 0.650438i | ||||
\(371\) | 19.4681 | + | 2.56302i | 1.01073 | + | 0.133065i | ||||
\(372\) | 17.4862 | + | 8.30297i | 0.906615 | + | 0.430489i | ||||
\(373\) | −2.80109 | − | 21.2764i | −0.145035 | − | 1.10165i | −0.896868 | − | 0.442298i | \(-0.854163\pi\) |
0.751833 | − | 0.659353i | \(-0.229170\pi\) | |||||||
\(374\) | −24.5631 | − | 18.8645i | −1.27013 | − | 0.975462i | ||||
\(375\) | −15.5249 | + | 7.96118i | −0.801700 | + | 0.411113i | ||||
\(376\) | 2.74023 | + | 10.2790i | 0.141316 | + | 0.530101i | ||||
\(377\) | −11.1047 | + | 11.1047i | −0.571924 | + | 0.571924i | ||||
\(378\) | 9.78112 | + | 10.1562i | 0.503087 | + | 0.522379i | ||||
\(379\) | 15.8866 | + | 6.58044i | 0.816039 | + | 0.338015i | 0.751361 | − | 0.659892i | \(-0.229398\pi\) |
0.0646786 | + | 0.997906i | \(0.479398\pi\) | |||||||
\(380\) | 2.19378 | + | 1.26906i | 0.112538 | + | 0.0651016i | ||||
\(381\) | 1.04019 | − | 0.0845845i | 0.0532907 | − | 0.00433340i | ||||
\(382\) | −6.41633 | − | 1.72217i | −0.328288 | − | 0.0881140i | ||||
\(383\) | 2.44422 | + | 4.23351i | 0.124894 | + | 0.216322i | 0.921691 | − | 0.387924i | \(-0.126808\pi\) |
−0.796798 | + | 0.604246i | \(0.793474\pi\) | |||||||
\(384\) | 6.53432 | + | 18.4744i | 0.333453 | + | 0.942767i | ||||
\(385\) | −5.46090 | + | 9.45856i | −0.278313 | + | 0.482053i | ||||
\(386\) | −11.2034 | + | 11.1939i | −0.570239 | + | 0.569755i | ||||
\(387\) | −25.9973 | − | 24.4151i | −1.32152 | − | 1.24109i | ||||
\(388\) | 0.00569310 | − | 6.70243i | 0.000289024 | − | 0.340264i | ||||
\(389\) | 22.3831 | − | 17.1751i | 1.13487 | − | 0.870813i | 0.141978 | − | 0.989870i | \(-0.454654\pi\) |
0.992887 | + | 0.119057i | \(0.0379870\pi\) | |||||||
\(390\) | −7.52734 | − | 1.37820i | −0.381161 | − | 0.0697877i | ||||
\(391\) | 1.47595 | + | 0.395480i | 0.0746420 | + | 0.0200003i | ||||
\(392\) | −9.06230 | − | 2.44061i | −0.457715 | − | 0.123270i | ||||
\(393\) | 6.63763 | − | 10.2794i | 0.334824 | − | 0.518528i | ||||
\(394\) | 2.06051 | − | 15.5999i | 0.103807 | − | 0.785911i | ||||
\(395\) | −6.85638 | − | 2.84001i | −0.344982 | − | 0.142896i | ||||
\(396\) | 6.71532 | − | 28.5168i | 0.337458 | − | 1.43302i | ||||
\(397\) | 3.45578 | + | 8.34299i | 0.173441 | + | 0.418723i | 0.986565 | − | 0.163367i | \(-0.0522354\pi\) |
−0.813125 | + | 0.582089i | \(0.802235\pi\) | |||||||
\(398\) | 20.8563 | + | 12.0532i | 1.04543 | + | 0.604174i | ||||
\(399\) | −2.67855 | + | 2.42440i | −0.134095 | + | 0.121372i | ||||
\(400\) | 3.79344 | − | 14.0617i | 0.189672 | − | 0.703086i | ||||
\(401\) | −8.90316 | − | 15.4207i | −0.444602 | − | 0.770074i | 0.553422 | − | 0.832901i | \(-0.313322\pi\) |
−0.998024 | + | 0.0628271i | \(0.979988\pi\) | |||||||
\(402\) | 1.90464 | − | 5.90550i | 0.0949946 | − | 0.294540i | ||||
\(403\) | 1.95472 | − | 14.8475i | 0.0973714 | − | 0.739609i | ||||
\(404\) | −9.60543 | + | 23.1340i | −0.477888 | + | 1.15096i | ||||
\(405\) | −4.61484 | − | 9.42200i | −0.229313 | − | 0.468183i | ||||
\(406\) | −14.6937 | + | 6.07901i | −0.729235 | + | 0.301696i | ||||
\(407\) | 9.59098 | + | 35.7940i | 0.475407 | + | 1.77424i | ||||
\(408\) | 14.2479 | − | 16.7269i | 0.705377 | − | 0.828107i | ||||
\(409\) | 0.569267 | − | 2.12454i | 0.0281485 | − | 0.105052i | −0.950422 | − | 0.310962i | \(-0.899349\pi\) |
0.978571 | + | 0.205910i | \(0.0660155\pi\) | |||||||
\(410\) | 0.818457 | + | 6.23727i | 0.0404207 | + | 0.308037i | ||||
\(411\) | −8.30879 | − | 23.2710i | −0.409843 | − | 1.14787i | ||||
\(412\) | 7.60764 | − | 2.03154i | 0.374802 | − | 0.100087i | ||||
\(413\) | −0.705591 | − | 1.70345i | −0.0347199 | − | 0.0838212i | ||||
\(414\) | 0.232919 | + | 1.42651i | 0.0114474 | + | 0.0701093i | ||||
\(415\) | − | 21.0690i | − | 1.03424i | ||||||
\(416\) | 12.0470 | − | 9.20343i | 0.590654 | − | 0.451235i | ||||
\(417\) | −2.85469 | − | 13.2608i | −0.139795 | − | 0.649382i | ||||
\(418\) | 7.24986 | + | 1.94589i | 0.354602 | + | 0.0951768i | ||||
\(419\) | 20.3284 | + | 15.5986i | 0.993109 | + | 0.762039i | 0.971333 | − | 0.237724i | \(-0.0764013\pi\) |
0.0217758 | + | 0.999763i | \(0.493068\pi\) | |||||||
\(420\) | −6.50579 | − | 4.20875i | −0.317450 | − | 0.205366i | ||||
\(421\) | −4.74051 | − | 6.17795i | −0.231038 | − | 0.301095i | 0.663419 | − | 0.748248i | \(-0.269105\pi\) |
−0.894457 | + | 0.447153i | \(0.852438\pi\) | |||||||
\(422\) | 11.0641 | − | 26.6791i | 0.538594 | − | 1.29872i | ||||
\(423\) | 10.5548 | + | 3.98880i | 0.513190 | + | 0.193942i | ||||
\(424\) | 26.7554 | − | 11.0425i | 1.29936 | − | 0.536273i | ||||
\(425\) | −15.7744 | + | 4.22673i | −0.765169 | + | 0.205026i | ||||
\(426\) | −20.9167 | − | 9.92102i | −1.01342 | − | 0.480675i | ||||
\(427\) | −22.7096 | + | 2.98978i | −1.09900 | + | 0.144686i | ||||
\(428\) | −23.4848 | + | 3.07155i | −1.13518 | + | 0.148469i | ||||
\(429\) | −22.5907 | + | 1.83699i | −1.09069 | + | 0.0886908i | ||||
\(430\) | 16.9687 | + | 9.80648i | 0.818302 | + | 0.472910i | ||||
\(431\) | − | 5.95516i | − | 0.286850i | −0.989661 | − | 0.143425i | \(-0.954188\pi\) | ||
0.989661 | − | 0.143425i | \(-0.0458116\pi\) | |||||||
\(432\) | 19.9643 | + | 5.78158i | 0.960533 | + | 0.278166i | ||||
\(433\) | 0.651090i | 0.0312894i | 0.999878 | + | 0.0156447i | \(0.00498007\pi\) | ||||
−0.999878 | + | 0.0156447i | \(0.995020\pi\) | |||||||
\(434\) | 7.58736 | − | 13.1288i | 0.364205 | − | 0.630203i | ||||
\(435\) | 11.7927 | − | 0.958940i | 0.565418 | − | 0.0459776i | ||||
\(436\) | −21.5921 | − | 16.5974i | −1.03407 | − | 0.794870i | ||||
\(437\) | −0.367175 | + | 0.0483395i | −0.0175644 | + | 0.00231239i | ||||
\(438\) | −1.16838 | + | 2.46333i | −0.0558276 | + | 0.117702i | ||||
\(439\) | 34.0762 | − | 9.13069i | 1.62637 | − | 0.435784i | 0.673505 | − | 0.739183i | \(-0.264788\pi\) |
0.952864 | + | 0.303399i | \(0.0981214\pi\) | |||||||
\(440\) | −0.0205123 | + | 16.0993i | −0.000977887 | + | 0.767504i | ||||
\(441\) | −7.70345 | + | 6.30468i | −0.366831 | + | 0.300223i | ||||
\(442\) | −15.7022 | − | 6.51189i | −0.746879 | − | 0.309739i | ||||
\(443\) | 8.30070 | + | 10.8177i | 0.394378 | + | 0.513964i | 0.947769 | − | 0.318958i | \(-0.103333\pi\) |
−0.553391 | + | 0.832922i | \(0.686666\pi\) | |||||||
\(444\) | −25.7058 | + | 5.51093i | −1.21994 | + | 0.261537i | ||||
\(445\) | 3.88324 | + | 2.97972i | 0.184083 | + | 0.141252i | ||||
\(446\) | 4.66502 | − | 17.3806i | 0.220895 | − | 0.822994i | ||||
\(447\) | 6.06119 | + | 28.1558i | 0.286684 | + | 1.33172i | ||||
\(448\) | 14.8375 | − | 3.93520i | 0.701006 | − | 0.185921i | ||||
\(449\) | 26.8384i | 1.26658i | 0.773914 | + | 0.633291i | \(0.218296\pi\) | ||||
−0.773914 | + | 0.633291i | \(0.781704\pi\) | |||||||
\(450\) | −9.77883 | − | 11.9587i | −0.460979 | − | 0.563741i | ||||
\(451\) | 7.13020 | + | 17.2138i | 0.335748 | + | 0.810567i | ||||
\(452\) | 6.56507 | + | 3.79779i | 0.308795 | + | 0.178633i | ||||
\(453\) | 5.83942 | + | 16.3549i | 0.274360 | + | 0.768418i | ||||
\(454\) | 32.1970 | − | 4.22490i | 1.51108 | − | 0.198284i | ||||
\(455\) | −1.55151 | + | 5.79031i | −0.0727358 | + | 0.271454i | ||||
\(456\) | −1.63895 | + | 5.06699i | −0.0767510 | + | 0.237283i | ||||
\(457\) | −4.47630 | − | 16.7058i | −0.209392 | − | 0.781463i | −0.988066 | − | 0.154033i | \(-0.950774\pi\) |
0.778673 | − | 0.627430i | \(-0.215893\pi\) | |||||||
\(458\) | −8.08193 | − | 19.5350i | −0.377644 | − | 0.912810i | ||||
\(459\) | −5.61699 | − | 22.6184i | −0.262178 | − | 1.05574i | ||||
\(460\) | −0.303336 | − | 0.734082i | −0.0141431 | − | 0.0342267i | ||||
\(461\) | −0.427534 | + | 3.24745i | −0.0199123 | + | 0.151249i | −0.998513 | − | 0.0545216i | \(-0.982637\pi\) |
0.978600 | + | 0.205770i | \(0.0659700\pi\) | |||||||
\(462\) | −21.8418 | − | 7.04439i | −1.01617 | − | 0.327735i | ||||
\(463\) | 13.4759 | + | 23.3409i | 0.626277 | + | 1.08474i | 0.988293 | + | 0.152571i | \(0.0487552\pi\) |
−0.362016 | + | 0.932172i | \(0.617911\pi\) | |||||||
\(464\) | −14.3007 | + | 18.5717i | −0.663895 | + | 0.862168i | ||||
\(465\) | −8.36495 | + | 7.57127i | −0.387915 | + | 0.351109i | ||||
\(466\) | −7.69548 | + | 13.3159i | −0.356486 | + | 0.616847i | ||||
\(467\) | 6.67811 | + | 16.1224i | 0.309026 | + | 0.746055i | 0.999737 | + | 0.0229242i | \(0.00729765\pi\) |
−0.690711 | + | 0.723131i | \(0.742702\pi\) | |||||||
\(468\) | −0.490781 | − | 16.0724i | −0.0226864 | − | 0.742947i | ||||
\(469\) | −4.49073 | − | 1.86012i | −0.207363 | − | 0.0858924i | ||||
\(470\) | −6.14707 | − | 0.811934i | −0.283543 | − | 0.0374517i | ||||
\(471\) | 21.1127 | − | 32.6963i | 0.972821 | − | 1.50657i | ||||
\(472\) | −2.15411 | − | 1.65727i | −0.0991509 | − | 0.0762821i | ||||
\(473\) | 56.0696 | + | 15.0238i | 2.57808 | + | 0.690795i | ||||
\(474\) | 2.80848 | − | 15.3392i | 0.128998 | − | 0.704551i | ||||
\(475\) | 3.14015 | − | 2.40952i | 0.144080 | − | 0.110557i | ||||
\(476\) | −12.1605 | − | 12.1812i | −0.557378 | − | 0.558325i | ||||
\(477\) | 7.01167 | − | 29.8890i | 0.321042 | − | 1.36852i | ||||
\(478\) | 3.90549 | + | 3.90881i | 0.178633 | + | 0.178785i | ||||
\(479\) | 9.05406 | − | 15.6821i | 0.413691 | − | 0.716533i | −0.581599 | − | 0.813475i | \(-0.697573\pi\) |
0.995290 | + | 0.0969423i | \(0.0309062\pi\) | |||||||
\(480\) | −11.4063 | − | 0.592354i | −0.520623 | − | 0.0270371i | ||||
\(481\) | 10.1695 | + | 17.6141i | 0.463690 | + | 0.803135i | ||||
\(482\) | 10.4804 | − | 39.0472i | 0.477371 | − | 1.77855i | ||||
\(483\) | 1.12853 | − | 0.0917680i | 0.0513501 | − | 0.00417559i | ||||
\(484\) | 6.62628 | + | 24.8139i | 0.301195 | + | 1.12790i | ||||
\(485\) | 3.60920 | + | 1.49498i | 0.163885 | + | 0.0678836i | ||||
\(486\) | 17.3198 | − | 13.6391i | 0.785642 | − | 0.618681i | ||||
\(487\) | 22.7577 | − | 22.7577i | 1.03125 | − | 1.03125i | 0.0317527 | − | 0.999496i | \(-0.489891\pi\) |
0.999496 | − | 0.0317527i | \(-0.0101089\pi\) | |||||||
\(488\) | −26.8130 | + | 20.5201i | −1.21377 | + | 0.928902i | ||||
\(489\) | −12.8252 | + | 6.57678i | −0.579975 | + | 0.297412i | ||||
\(490\) | 3.33192 | − | 4.33842i | 0.150521 | − | 0.195990i | ||||
\(491\) | 1.33643 | + | 10.1512i | 0.0603121 | + | 0.458116i | 0.994778 | + | 0.102063i | \(0.0325443\pi\) |
−0.934466 | + | 0.356053i | \(0.884122\pi\) | |||||||
\(492\) | −12.4526 | + | 4.43422i | −0.561407 | + | 0.199910i | ||||
\(493\) | 26.0576 | + | 3.43055i | 1.17358 | + | 0.154504i | ||||
\(494\) | 4.12001 | + | 0.00174979i | 0.185368 | + | 7.87267e-5i | ||||
\(495\) | 13.8666 | + | 9.96505i | 0.623260 | + | 0.447896i | ||||
\(496\) | 0.0379717 | − | 22.3518i | 0.00170498 | − | 1.00363i | ||||
\(497\) | −9.06740 | + | 15.7052i | −0.406728 | + | 0.704474i | ||||
\(498\) | 43.2841 | − | 9.29868i | 1.93961 | − | 0.416684i | ||||
\(499\) | −6.69096 | − | 5.13416i | −0.299529 | − | 0.229836i | 0.448052 | − | 0.894008i | \(-0.352118\pi\) |
−0.747581 | + | 0.664171i | \(0.768785\pi\) | |||||||
\(500\) | 15.9726 | + | 12.2778i | 0.714317 | + | 0.549079i | ||||
\(501\) | 11.7817 | + | 2.15197i | 0.526368 | + | 0.0961428i | ||||
\(502\) | −8.60267 | − | 1.13628i | −0.383956 | − | 0.0507147i | ||||
\(503\) | −23.0958 | + | 23.0958i | −1.02979 | + | 1.02979i | −0.0302472 | + | 0.999542i | \(0.509629\pi\) |
−0.999542 | + | 0.0302472i | \(0.990371\pi\) | |||||||
\(504\) | 5.77517 | − | 15.2230i | 0.257246 | − | 0.678086i | ||||
\(505\) | −10.3237 | − | 10.3237i | −0.459399 | − | 0.459399i | ||||
\(506\) | −1.43134 | − | 1.86700i | −0.0636309 | − | 0.0829984i | ||||
\(507\) | 9.48978 | − | 3.38828i | 0.421456 | − | 0.150479i | ||||
\(508\) | −0.601652 | − | 1.04414i | −0.0266940 | − | 0.0463261i | ||||
\(509\) | −20.5757 | + | 26.8147i | −0.912000 | + | 1.18854i | 0.0695967 | + | 0.997575i | \(0.477829\pi\) |
−0.981597 | + | 0.190966i | \(0.938838\pi\) | |||||||
\(510\) | 5.83900 | + | 11.3984i | 0.258555 | + | 0.504729i | ||||
\(511\) | 1.84958 | + | 1.06785i | 0.0818205 | + | 0.0472391i | ||||
\(512\) | 16.0610 | − | 15.9387i | 0.709804 | − | 0.704399i | ||||
\(513\) | 3.35562 | + | 4.54372i | 0.148154 | + | 0.200610i | ||||
\(514\) | −9.64062 | − | 9.64881i | −0.425229 | − | 0.425591i | ||||
\(515\) | −0.599058 | + | 4.55030i | −0.0263977 | + | 0.200510i | ||||
\(516\) | −12.6574 | + | 39.1884i | −0.557211 | + | 1.72518i | ||||
\(517\) | −18.2076 | + | 2.39708i | −0.800770 | + | 0.105423i | ||||
\(518\) | 2.67941 | + | 20.4192i | 0.117727 | + | 0.897167i | ||||
\(519\) | 13.0737 | + | 0.651111i | 0.573871 | + | 0.0285806i | ||||
\(520\) | 2.27613 | + | 8.53812i | 0.0998148 | + | 0.374421i | ||||
\(521\) | −6.84957 | − | 6.84957i | −0.300085 | − | 0.300085i | 0.540962 | − | 0.841047i | \(-0.318060\pi\) |
−0.841047 | + | 0.540962i | \(0.818060\pi\) | |||||||
\(522\) | 7.17470 | + | 23.8038i | 0.314028 | + | 1.04186i | ||||
\(523\) | 15.0066 | − | 36.2292i | 0.656193 | − | 1.58419i | −0.147443 | − | 0.989071i | \(-0.547104\pi\) |
0.803637 | − | 0.595120i | \(-0.202896\pi\) | |||||||
\(524\) | −14.0067 | − | 1.85612i | −0.611886 | − | 0.0810851i | ||||
\(525\) | −9.95501 | + | 6.88003i | −0.434472 | + | 0.300269i | ||||
\(526\) | −22.3168 | − | 38.6918i | −0.973059 | − | 1.68704i | ||||
\(527\) | −21.7050 | + | 12.5314i | −0.945485 | + | 0.545876i | ||||
\(528\) | −33.0834 | + | 7.06319i | −1.43977 | + | 0.307386i | ||||
\(529\) | −19.8181 | − | 11.4420i | −0.861655 | − | 0.497477i | ||||
\(530\) | −0.00716503 | + | 16.8706i | −0.000311229 | + | 0.732813i | ||||
\(531\) | −2.75972 | + | 0.833086i | −0.119762 | + | 0.0361529i | ||||
\(532\) | 3.85280 | + | 1.59972i | 0.167040 | + | 0.0693565i | ||||
\(533\) | 6.22547 | + | 8.11320i | 0.269655 | + | 0.351422i | ||||
\(534\) | −4.40768 | + | 9.29281i | −0.190739 | + | 0.402139i | ||||
\(535\) | 3.57298 | − | 13.3345i | 0.154473 | − | 0.576503i | ||||
\(536\) | −7.10486 | + | 0.926165i | −0.306883 | + | 0.0400042i | ||||
\(537\) | −35.8692 | + | 18.3938i | −1.54787 | + | 0.793752i | ||||
\(538\) | 19.6906 | + | 25.6839i | 0.848923 | + | 1.10731i | ||||
\(539\) | 6.20021 | − | 14.9686i | 0.267062 | − | 0.644745i | ||||
\(540\) | −7.55834 | + | 9.46745i | −0.325259 | + | 0.407414i | ||||
\(541\) | 16.0481 | − | 6.64736i | 0.689963 | − | 0.285792i | −0.0100216 | − | 0.999950i | \(-0.503190\pi\) |
0.699985 | + | 0.714158i | \(0.253190\pi\) | |||||||
\(542\) | −4.04826 | − | 15.1340i | −0.173888 | − | 0.650062i | ||||
\(543\) | 13.3519 | − | 41.4590i | 0.572983 | − | 1.77917i | ||||
\(544\) | −24.4932 | − | 6.61871i | −1.05014 | − | 0.283775i | ||||
\(545\) | 13.7469 | − | 7.93680i | 0.588854 | − | 0.339975i | ||||
\(546\) | −12.5804 | − | 0.631898i | −0.538389 | − | 0.0270427i | ||||
\(547\) | −17.9515 | − | 2.36335i | −0.767549 | − | 0.101050i | −0.263424 | − | 0.964680i | \(-0.584852\pi\) |
−0.504125 | + | 0.863630i | \(0.668185\pi\) | |||||||
\(548\) | −20.1926 | + | 20.1583i | −0.862586 | + | 0.861122i | ||||
\(549\) | 1.12344 | + | 35.7946i | 0.0479474 | + | 1.52767i | ||||
\(550\) | 23.2250 | + | 9.63166i | 0.990316 | + | 0.410695i | ||||
\(551\) | −6.15300 | + | 1.64869i | −0.262127 | + | 0.0702366i | ||||
\(552\) | 1.37422 | − | 0.947157i | 0.0584907 | − | 0.0403137i | ||||
\(553\) | −11.7995 | − | 3.16166i | −0.501764 | − | 0.134447i | ||||
\(554\) | −5.92796 | − | 4.55268i | −0.251855 | − | 0.193425i | ||||
\(555\) | 2.75330 | − | 15.0739i | 0.116871 | − | 0.639852i | ||||
\(556\) | −12.4344 | + | 9.52447i | −0.527335 | + | 0.403927i | ||||
\(557\) | −5.47199 | + | 2.26657i | −0.231856 | + | 0.0960377i | −0.495587 | − | 0.868559i | \(-0.665047\pi\) |
0.263731 | + | 0.964596i | \(0.415047\pi\) | |||||||
\(558\) | −19.2462 | − | 13.8434i | −0.814758 | − | 0.586038i | ||||
\(559\) | 31.8601 | 1.34754 | ||||||||
\(560\) | −1.18291 | + | 8.86863i | −0.0499870 | + | 0.374768i | ||||
\(561\) | 25.4545 | + | 28.1229i | 1.07469 | + | 1.18735i | ||||
\(562\) | −35.5860 | + | 20.5254i | −1.50110 | + | 0.865813i | ||||
\(563\) | 1.84247 | − | 2.40115i | 0.0776508 | − | 0.101197i | −0.752913 | − | 0.658120i | \(-0.771352\pi\) |
0.830564 | + | 0.556924i | \(0.188018\pi\) | |||||||
\(564\) | −1.04494 | − | 12.9869i | −0.0439999 | − | 0.546847i | ||||
\(565\) | −3.50713 | + | 2.69112i | −0.147546 | + | 0.113216i | ||||
\(566\) | −15.6018 | + | 6.45472i | −0.655793 | + | 0.271312i | ||||
\(567\) | −9.55552 | − | 14.3847i | −0.401294 | − | 0.604102i | ||||
\(568\) | −0.0340591 | + | 26.7316i | −0.00142909 | + | 1.12163i | ||||
\(569\) | −1.32295 | − | 4.93731i | −0.0554608 | − | 0.206983i | 0.932635 | − | 0.360821i | \(-0.117503\pi\) |
−0.988096 | + | 0.153838i | \(0.950837\pi\) | |||||||
\(570\) | −2.36467 | − | 2.01075i | −0.0990451 | − | 0.0842210i | ||||
\(571\) | 2.82734 | + | 21.4758i | 0.118321 | + | 0.898734i | 0.942921 | + | 0.333018i | \(0.108067\pi\) |
−0.824600 | + | 0.565716i | \(0.808600\pi\) | |||||||
\(572\) | 13.0666 | + | 22.6764i | 0.546340 | + | 0.948148i | ||||
\(573\) | 7.35297 | + | 3.48377i | 0.307175 | + | 0.145536i | ||||
\(574\) | 2.67576 | + | 10.0031i | 0.111684 | + | 0.417520i | ||||
\(575\) | −1.24047 | −0.0517311 | ||||||||
\(576\) | −3.81717 | − | 23.6945i | −0.159049 | − | 0.987271i | ||||
\(577\) | −14.1206 | −0.587847 | −0.293924 | − | 0.955829i | \(-0.594961\pi\) | ||||
−0.293924 | + | 0.955829i | \(0.594961\pi\) | |||||||
\(578\) | 1.13887 | + | 4.25757i | 0.0473709 | + | 0.177091i | ||||
\(579\) | 15.9567 | − | 11.0279i | 0.663138 | − | 0.458303i | ||||
\(580\) | −6.82096 | − | 11.8375i | −0.283225 | − | 0.491524i | ||||
\(581\) | −4.52668 | − | 34.3836i | −0.187798 | − | 1.42647i | ||||
\(582\) | −1.47839 | + | 8.07454i | −0.0612811 | + | 0.334701i | ||||
\(583\) | 12.9326 | + | 48.2653i | 0.535615 | + | 1.99894i | ||||
\(584\) | 3.14814 | + | 0.00401109i | 0.130271 | + | 0.000165980i | ||||
\(585\) | 8.76714 | + | 3.31323i | 0.362477 | + | 0.136985i | ||||
\(586\) | −14.9224 | + | 6.17365i | −0.616440 | + | 0.255031i | ||||
\(587\) | 19.9235 | − | 15.2878i | 0.822331 | − | 0.630997i | −0.109460 | − | 0.993991i | \(-0.534912\pi\) |
0.931791 | + | 0.362994i | \(0.118246\pi\) | |||||||
\(588\) | 10.3834 | + | 4.93035i | 0.428203 | + | 0.203324i | ||||
\(589\) | 3.69788 | − | 4.81917i | 0.152368 | − | 0.198570i | ||||
\(590\) | 1.37223 | − | 0.791480i | 0.0564938 | − | 0.0325847i | ||||
\(591\) | −5.90769 | + | 18.3440i | −0.243010 | + | 0.754572i | ||||
\(592\) | 18.4392 | + | 24.1151i | 0.757846 | + | 0.991126i | ||||
\(593\) | 7.37102 | 0.302692 | 0.151346 | − | 0.988481i | \(-0.451639\pi\) | ||||
0.151346 | + | 0.988481i | \(0.451639\pi\) | |||||||
\(594\) | −14.3522 | + | 32.8856i | −0.588879 | + | 1.34931i | ||||
\(595\) | 9.26864 | − | 3.83920i | 0.379977 | − | 0.157392i | ||||
\(596\) | 26.4012 | − | 20.2227i | 1.08143 | − | 0.828356i | ||||
\(597\) | −22.4836 | − | 19.1020i | −0.920193 | − | 0.781794i | ||||
\(598\) | −1.02406 | − | 0.786480i | −0.0418769 | − | 0.0321615i | ||||
\(599\) | 8.50790 | + | 2.27969i | 0.347623 | + | 0.0931454i | 0.428406 | − | 0.903586i | \(-0.359075\pi\) |
−0.0807826 | + | 0.996732i | \(0.525742\pi\) | |||||||
\(600\) | −7.65800 | + | 16.1102i | −0.312637 | + | 0.657695i | ||||
\(601\) | 10.5441 | − | 2.82530i | 0.430105 | − | 0.115246i | −0.0372706 | − | 0.999305i | \(-0.511866\pi\) |
0.467375 | + | 0.884059i | \(0.345200\pi\) | |||||||
\(602\) | 29.7990 | + | 12.3580i | 1.21451 | + | 0.503673i | ||||
\(603\) | −3.59147 | + | 6.69741i | −0.146256 | + | 0.272740i | ||||
\(604\) | 14.1914 | − | 14.1673i | 0.577439 | − | 0.576459i | ||||
\(605\) | −14.8417 | − | 1.95395i | −0.603402 | − | 0.0794394i | ||||
\(606\) | 16.6527 | − | 25.7653i | 0.676471 | − | 1.04665i | ||||
\(607\) | −28.7961 | + | 16.6254i | −1.16880 | + | 0.674805i | −0.953396 | − | 0.301721i | \(-0.902439\pi\) |
−0.215400 | + | 0.976526i | \(0.569106\pi\) | |||||||
\(608\) | 6.09839 | − | 0.789698i | 0.247323 | − | 0.0320265i | ||||
\(609\) | 19.0391 | − | 4.09862i | 0.771505 | − | 0.166084i | ||||
\(610\) | −5.08540 | − | 19.0113i | −0.205902 | − | 0.769744i | ||||
\(611\) | −9.31243 | + | 3.85734i | −0.376741 | + | 0.156051i | ||||
\(612\) | −20.8398 | + | 17.0262i | −0.842399 | + | 0.688245i | ||||
\(613\) | −14.8026 | + | 35.7366i | −0.597871 | + | 1.44339i | 0.277876 | + | 0.960617i | \(0.410369\pi\) |
−0.875747 | + | 0.482770i | \(0.839631\pi\) | |||||||
\(614\) | −28.0589 | − | 36.5992i | −1.13236 | − | 1.47702i | ||||
\(615\) | 0.383236 | − | 7.69501i | 0.0154536 | − | 0.310293i | ||||
\(616\) | 3.42546 | + | 26.2777i | 0.138016 | + | 1.05876i | ||||
\(617\) | 8.76394 | − | 32.7075i | 0.352823 | − | 1.31675i | −0.530380 | − | 0.847760i | \(-0.677951\pi\) |
0.883202 | − | 0.468992i | \(-0.155383\pi\) | |||||||
\(618\) | −9.61252 | + | 0.777544i | −0.386672 | + | 0.0312774i | ||||
\(619\) | 25.8219 | + | 33.6518i | 1.03787 | + | 1.35258i | 0.933714 | + | 0.358020i | \(0.116548\pi\) |
0.104157 | + | 0.994561i | \(0.466785\pi\) | |||||||
\(620\) | 12.0321 | + | 4.99582i | 0.483219 | + | 0.200637i | ||||
\(621\) | 0.0325469 | − | 1.76995i | 0.00130606 | − | 0.0710257i | ||||
\(622\) | −0.00222522 | + | 5.23947i | −8.92234e−5 | + | 0.210083i | ||||
\(623\) | 6.97745 | + | 4.02843i | 0.279546 | + | 0.161396i | ||||
\(624\) | −16.5362 | + | 8.44433i | −0.661976 | + | 0.338044i | ||||
\(625\) | 5.59723 | − | 3.23156i | 0.223889 | − | 0.129263i | ||||
\(626\) | −3.36957 | − | 5.84200i | −0.134675 | − | 0.233493i | ||||
\(627\) | −8.30817 | − | 3.93633i | −0.331796 | − | 0.157202i | ||||
\(628\) | −44.5519 | − | 5.90387i | −1.77781 | − | 0.235590i | ||||
\(629\) | 13.0261 | − | 31.4477i | 0.519383 | − | 1.25390i | ||||
\(630\) | 6.91482 | + | 6.49950i | 0.275493 | + | 0.258946i | ||||
\(631\) | 12.5592 | + | 12.5592i | 0.499973 | + | 0.499973i | 0.911429 | − | 0.411457i | \(-0.134980\pi\) |
−0.411457 | + | 0.911429i | \(0.634980\pi\) | |||||||
\(632\) | −17.3989 | + | 4.63828i | −0.692093 | + | 0.184501i | ||||
\(633\) | −19.1887 | + | 29.7167i | −0.762681 | + | 1.18113i | ||||
\(634\) | −0.580746 | − | 4.42573i | −0.0230644 | − | 0.175768i | ||||
\(635\) | 0.696381 | − | 0.0916803i | 0.0276350 | − | 0.00363822i | ||||
\(636\) | −34.6621 | + | 7.43103i | −1.37444 | + | 0.294660i | ||||
\(637\) | 1.16072 | − | 8.81655i | 0.0459895 | − | 0.349325i | ||||
\(638\) | −28.6006 | − | 28.6249i | −1.13231 | − | 1.13327i | ||||
\(639\) | 23.0245 | + | 16.5462i | 0.910834 | + | 0.654557i | ||||
\(640\) | 5.01081 | + | 12.1996i | 0.198070 | + | 0.482232i | ||||
\(641\) | −28.9745 | − | 16.7284i | −1.14442 | − | 0.660733i | −0.196901 | − | 0.980423i | \(-0.563088\pi\) |
−0.947522 | + | 0.319690i | \(0.896421\pi\) | |||||||
\(642\) | 28.9714 | + | 1.45520i | 1.14341 | + | 0.0574323i | ||||
\(643\) | 13.7211 | − | 17.8817i | 0.541108 | − | 0.705186i | −0.440141 | − | 0.897929i | \(-0.645072\pi\) |
0.981249 | + | 0.192742i | \(0.0617382\pi\) | |||||||
\(644\) | −0.652748 | − | 1.13281i | −0.0257219 | − | 0.0446391i | ||||
\(645\) | −18.2926 | − | 15.5414i | −0.720271 | − | 0.611941i | ||||
\(646\) | −4.19516 | − | 5.47205i | −0.165056 | − | 0.215295i | ||||
\(647\) | 6.25883 | + | 6.25883i | 0.246060 | + | 0.246060i | 0.819352 | − | 0.573291i | \(-0.194334\pi\) |
−0.573291 | + | 0.819352i | \(0.694334\pi\) | |||||||
\(648\) | −22.7857 | − | 11.3494i | −0.895109 | − | 0.445848i | ||||
\(649\) | 3.31768 | − | 3.31768i | 0.130230 | − | 0.130230i | ||||
\(650\) | 13.6812 | + | 1.80708i | 0.536621 | + | 0.0708793i | ||||
\(651\) | −12.0245 | + | 14.1532i | −0.471277 | + | 0.554706i | ||||
\(652\) | 13.1951 | + | 10.1428i | 0.516759 | + | 0.397221i | ||||
\(653\) | 38.4898 | + | 29.5343i | 1.50622 | + | 1.15577i | 0.944532 | + | 0.328419i | \(0.106516\pi\) |
0.561691 | + | 0.827347i | \(0.310151\pi\) | |||||||
\(654\) | 22.3725 | + | 24.7388i | 0.874833 | + | 0.967365i | ||||
\(655\) | 4.11765 | − | 7.13198i | 0.160890 | − | 0.278670i | ||||
\(656\) | 10.7745 | + | 10.8112i | 0.420675 | + | 0.422107i | ||||
\(657\) | 1.94862 | − | 2.71156i | 0.0760229 | − | 0.105788i | ||||
\(658\) | −10.2062 | − | 0.00433460i | −0.397878 | − | 0.000168980i | ||||
\(659\) | 6.25640 | + | 0.823671i | 0.243715 | + | 0.0320857i | 0.251394 | − | 0.967885i | \(-0.419111\pi\) |
−0.00767915 | + | 0.999971i | \(0.502444\pi\) | |||||||
\(660\) | 3.55933 | − | 19.3936i | 0.138547 | − | 0.754896i | ||||
\(661\) | −1.88948 | − | 14.3520i | −0.0734924 | − | 0.558230i | −0.988091 | − | 0.153868i | \(-0.950827\pi\) |
0.914599 | − | 0.404362i | \(-0.132506\pi\) | |||||||
\(662\) | −15.4998 | + | 20.1820i | −0.602418 | + | 0.784396i | ||||
\(663\) | 17.4900 | + | 11.2937i | 0.679256 | + | 0.438609i | ||||
\(664\) | −31.0685 | − | 40.5963i | −1.20569 | − | 1.57544i | ||||
\(665\) | −1.71934 | + | 1.71934i | −0.0666732 | + | 0.0666732i | ||||
\(666\) | 32.1830 | − | 0.996409i | 1.24707 | − | 0.0386101i | ||||
\(667\) | 1.84442 | + | 0.763984i | 0.0714162 | + | 0.0295816i | ||||
\(668\) | −3.56797 | − | 13.3612i | −0.138049 | − | 0.516961i | ||||
\(669\) | −9.43684 | + | 19.9177i | −0.364849 | + | 0.770064i | ||||
\(670\) | 1.08259 | − | 4.03341i | 0.0418239 | − | 0.155824i | ||||
\(671\) | −29.1439 | − | 50.4788i | −1.12509 | − | 1.94871i | ||||
\(672\) | −18.7418 | + | 1.48395i | −0.722979 | + | 0.0572447i | ||||
\(673\) | −15.4497 | + | 26.7596i | −0.595541 | + | 1.03151i | 0.397930 | + | 0.917416i | \(0.369729\pi\) |
−0.993470 | + | 0.114091i | \(0.963605\pi\) | |||||||
\(674\) | −24.9058 | − | 24.9270i | −0.959335 | − | 0.960150i | ||||
\(675\) | 9.15701 | + | 16.5561i | 0.352454 | + | 0.637245i | ||||
\(676\) | −8.22046 | − | 8.23444i | −0.316172 | − | 0.316709i | ||||
\(677\) | −0.624072 | + | 0.478867i | −0.0239850 | + | 0.0184044i | −0.620684 | − | 0.784061i | \(-0.713145\pi\) |
0.596699 | + | 0.802465i | \(0.296478\pi\) | |||||||
\(678\) | −7.07648 | − | 6.01734i | −0.271771 | − | 0.231095i | ||||
\(679\) | 6.21124 | + | 1.66430i | 0.238366 | + | 0.0638698i | ||||
\(680\) | 9.01739 | − | 11.7207i | 0.345801 | − | 0.449470i | ||||
\(681\) | −39.7219 | − | 1.97828i | −1.52215 | − | 0.0758077i | ||||
\(682\) | 38.2544 | + | 5.05282i | 1.46484 | + | 0.193483i | ||||
\(683\) | −23.0089 | − | 9.53060i | −0.880411 | − | 0.364678i | −0.103755 | − | 0.994603i | \(-0.533086\pi\) |
−0.776656 | + | 0.629925i | \(0.783086\pi\) | |||||||
\(684\) | 3.08725 | − | 5.74541i | 0.118044 | − | 0.219681i | ||||
\(685\) | −6.36418 | − | 15.3645i | −0.243163 | − | 0.587047i | ||||
\(686\) | 14.0100 | − | 24.2423i | 0.534905 | − | 0.925575i | ||||
\(687\) | 5.44904 | + | 25.3122i | 0.207894 | + | 0.965721i | ||||
\(688\) | 47.1563 | − | 6.12677i | 1.79782 | − | 0.233581i | ||||
\(689\) | 13.7128 | + | 23.7512i | 0.522414 | + | 0.904848i | ||||
\(690\) | 0.204323 | + | 0.951097i | 0.00777845 | + | 0.0362076i | ||||
\(691\) | 1.33597 | − | 10.1477i | 0.0508228 | − | 0.386038i | −0.947063 | − | 0.321048i | \(-0.895965\pi\) |
0.997886 | − | 0.0649902i | \(-0.0207016\pi\) | |||||||
\(692\) | −5.77235 | − | 13.9692i | −0.219432 | − | 0.531031i | ||||
\(693\) | 24.7707 | + | 13.2832i | 0.940961 | + | 0.504588i | ||||
\(694\) | −12.8684 | − | 31.1044i | −0.488477 | − | 1.18071i | ||||
\(695\) | −2.36284 | − | 8.81824i | −0.0896277 | − | 0.334495i | ||||
\(696\) | 21.3085 | − | 19.2374i | 0.807695 | − | 0.729190i | ||||
\(697\) | 4.42960 | − | 16.5315i | 0.167783 | − | 0.626175i | ||||
\(698\) | 10.0674 | − | 1.32104i | 0.381055 | − | 0.0500022i | ||||
\(699\) | 12.1958 | − | 14.3548i | 0.461289 | − | 0.542950i | ||||
\(700\) | 12.0952 | + | 6.99686i | 0.457155 | + | 0.264456i | ||||
\(701\) | −9.41659 | − | 22.7336i | −0.355660 | − | 0.858638i | −0.995900 | − | 0.0904633i | \(-0.971165\pi\) |
0.640240 | − | 0.768175i | \(-0.278835\pi\) | |||||||
\(702\) | −2.93737 | + | 19.4735i | −0.110864 | + | 0.734979i | ||||
\(703\) | 8.24992i | 0.311152i | ||||||||
\(704\) | 23.7006 | + | 31.0508i | 0.893251 | + | 1.17027i | ||||
\(705\) | 7.22838 | + | 2.32790i | 0.272237 | + | 0.0876738i | ||||
\(706\) | −2.05872 | + | 7.67022i | −0.0774810 | + | 0.288672i | ||||
\(707\) | −19.0659 | − | 14.6297i | −0.717045 | − | 0.550208i | ||||
\(708\) | 2.23164 | + | 2.46979i | 0.0838703 | + | 0.0928205i | ||||
\(709\) | 2.64015 | + | 3.44071i | 0.0991530 | + | 0.129219i | 0.840295 | − | 0.542130i | \(-0.182382\pi\) |
−0.741142 | + | 0.671349i | \(0.765715\pi\) | |||||||
\(710\) | −14.3922 | − | 5.96862i | −0.540131 | − | 0.223998i | ||||
\(711\) | −6.75169 | + | 17.8656i | −0.253208 | + | 0.670014i | ||||
\(712\) | 11.8762 | + | 0.0151317i | 0.445081 | + | 0.000567083i | ||||
\(713\) | −1.83887 | + | 0.492723i | −0.0688662 | + | 0.0184526i | ||||
\(714\) | 11.9779 | + | 17.3471i | 0.448262 | + | 0.649198i | ||||
\(715\) | −15.1239 | + | 1.99110i | −0.565601 | + | 0.0744627i | ||||
\(716\) | 36.9038 | + | 28.3671i | 1.37916 | + | 1.06013i | ||||
\(717\) | −3.84757 | − | 5.56720i | −0.143690 | − | 0.207911i | ||||
\(718\) | −10.4966 | + | 18.1628i | −0.391729 | + | 0.677830i | ||||
\(719\) | 31.9312i | 1.19083i | 0.803418 | + | 0.595416i | \(0.203013\pi\) | ||||
−0.803418 | + | 0.595416i | \(0.796987\pi\) | |||||||
\(720\) | 13.6134 | + | 3.21799i | 0.507343 | + | 0.119928i | ||||
\(721\) | 7.55457i | 0.281347i | ||||||||
\(722\) | −21.8175 | − | 12.6087i | −0.811964 | − | 0.469248i | ||||
\(723\) | −21.2008 | + | 44.7472i | −0.788466 | + | 1.66417i | ||||
\(724\) | −49.8693 | + | 6.52233i | −1.85338 | + | 0.242401i | ||||
\(725\) | −21.1540 | + | 2.78498i | −0.785640 | + | 0.103432i | ||||
\(726\) | −2.53612 | − | 31.3532i | −0.0941242 | − | 1.16363i | ||||
\(727\) | −34.0277 | + | 9.11768i | −1.26202 | + | 0.338156i | −0.826967 | − | 0.562251i | \(-0.809936\pi\) |
−0.435049 | + | 0.900407i | \(0.643269\pi\) | |||||||
\(728\) | 5.54895 | + | 13.4448i | 0.205658 | + | 0.498296i | ||||
\(729\) | −23.8632 | + | 12.6312i | −0.883822 | + | 0.467823i | ||||
\(730\) | −0.702916 | + | 1.69495i | −0.0260161 | + | 0.0627330i | ||||
\(731\) | −32.4592 | − | 42.3016i | −1.20055 | − | 1.56458i | ||||
\(732\) | 36.8123 | − | 18.8380i | 1.36062 | − | 0.696271i | ||||
\(733\) | 16.4635 | + | 12.6329i | 0.608093 | + | 0.466606i | 0.866328 | − | 0.499476i | \(-0.166474\pi\) |
−0.258235 | + | 0.966082i | \(0.583141\pi\) | |||||||
\(734\) | 11.2891 | + | 3.03003i | 0.416687 | + | 0.111841i | ||||
\(735\) | −4.96715 | + | 4.49586i | −0.183216 | + | 0.165832i | ||||
\(736\) | −1.66696 | − | 0.967145i | −0.0614449 | − | 0.0356494i | ||||
\(737\) | − | 12.3691i | − | 0.455622i | ||||||
\(738\) | 15.9778 | − | 2.60883i | 0.588150 | − | 0.0960324i | ||||
\(739\) | 4.30694 | + | 10.3979i | 0.158433 | + | 0.382492i | 0.983085 | − | 0.183149i | \(-0.0586289\pi\) |
−0.824652 | + | 0.565641i | \(0.808629\pi\) | |||||||
\(740\) | −17.0948 | + | 4.56498i | −0.628417 | + | 0.167812i | ||||
\(741\) | −4.96384 | − | 0.906662i | −0.182351 | − | 0.0333071i | ||||
\(742\) | 3.61297 | + | 27.5336i | 0.132636 | + | 1.01079i | ||||
\(743\) | 6.01956 | − | 22.4653i | 0.220836 | − | 0.824172i | −0.763194 | − | 0.646170i | \(-0.776370\pi\) |
0.984030 | − | 0.178003i | \(-0.0569635\pi\) | |||||||
\(744\) | −4.95313 | + | 26.9235i | −0.181590 | + | 0.987064i | ||||
\(745\) | 5.01688 | + | 18.7233i | 0.183804 | + | 0.685967i | ||||
\(746\) | 28.0438 | − | 11.6022i | 1.02676 | − | 0.424785i | ||||
\(747\) | −54.1948 | + | 1.70095i | −1.98288 | + | 0.0622345i | ||||
\(748\) | 16.7959 | − | 40.4516i | 0.614118 | − | 1.47906i | ||||
\(749\) | 2.96600 | − | 22.5290i | 0.108375 | − | 0.823191i | ||||
\(750\) | −16.5499 | − | 18.3004i | −0.604316 | − | 0.668235i | ||||
\(751\) | 23.4640 | + | 40.6409i | 0.856214 | + | 1.48301i | 0.875514 | + | 0.483192i | \(0.160523\pi\) |
−0.0193005 | + | 0.999814i | \(0.506144\pi\) | |||||||
\(752\) | −13.0416 | + | 7.50007i | −0.475579 | + | 0.273499i | ||||
\(753\) | 10.1159 | + | 3.25784i | 0.368645 | + | 0.118722i | ||||
\(754\) | −19.2293 | − | 11.1129i | −0.700289 | − | 0.404708i | ||||
\(755\) | 4.47274 | + | 10.7982i | 0.162780 | + | 0.392985i | ||||
\(756\) | −10.3008 | + | 17.0743i | −0.374635 | + | 0.620987i | ||||
\(757\) | −23.1447 | − | 9.58685i | −0.841209 | − | 0.348440i | −0.0798788 | − | 0.996805i | \(-0.525453\pi\) |
−0.761330 | + | 0.648364i | \(0.775453\pi\) | |||||||
\(758\) | −3.18439 | + | 24.1087i | −0.115662 | + | 0.875669i | ||||
\(759\) | 1.31473 | + | 2.56381i | 0.0477216 | + | 0.0930605i | ||||
\(760\) | −0.932065 | + | 3.46087i | −0.0338095 | + | 0.125539i | ||||
\(761\) | 0.0980316 | + | 0.0262675i | 0.00355364 | + | 0.000952196i | 0.260595 | − | 0.965448i | \(-0.416081\pi\) |
−0.257042 | + | 0.966400i | \(0.582748\pi\) | |||||||
\(762\) | 0.495691 | + | 1.39018i | 0.0179570 | + | 0.0503610i | ||||
\(763\) | 20.7291 | − | 15.9060i | 0.750444 | − | 0.575836i | ||||
\(764\) | 0.00798039 | − | 9.39523i | 0.000288720 | − | 0.339907i | ||||
\(765\) | −4.53291 | − | 15.0159i | −0.163888 | − | 0.542902i | ||||
\(766\) | −4.89051 | + | 4.88636i | −0.176701 | + | 0.176551i | ||||
\(767\) | 1.28761 | − | 2.23020i | 0.0464928 | − | 0.0805279i | ||||
\(768\) | −22.8514 | + | 15.6784i | −0.824579 | + | 0.565747i | ||||
\(769\) | −15.1755 | − | 26.2847i | −0.547241 | − | 0.947850i | −0.998462 | − | 0.0554374i | \(-0.982345\pi\) |
0.451221 | − | 0.892412i | \(-0.350989\pi\) | |||||||
\(770\) | −14.9178 | − | 4.00399i | −0.537599 | − | 0.144294i | ||||
\(771\) | 9.49762 | + | 13.7425i | 0.342049 | + | 0.494924i | ||||
\(772\) | −19.3871 | − | 11.2151i | −0.697759 | − | 0.403642i | ||||
\(773\) | 10.1380 | + | 4.19928i | 0.364637 | + | 0.151038i | 0.557477 | − | 0.830193i | \(-0.311770\pi\) |
−0.192839 | + | 0.981230i | \(0.561770\pi\) | |||||||
\(774\) | 23.8548 | − | 44.4394i | 0.857444 | − | 1.59734i | ||||
\(775\) | 14.3871 | − | 14.3871i | 0.516798 | − | 0.516798i | ||||
\(776\) | 9.15881 | − | 2.44159i | 0.328782 | − | 0.0876481i | ||||
\(777\) | 1.25461 | − | 25.1914i | 0.0450090 | − | 0.903738i | ||||
\(778\) | 31.6441 | + | 24.3027i | 1.13450 | + | 0.871295i | ||||
\(779\) | 0.541430 | + | 4.11257i | 0.0193987 | + | 0.147348i | ||||
\(780\) | −0.867963 | − | 10.7874i | −0.0310781 | − | 0.386249i | ||||
\(781\) | −45.7528 | − | 6.02347i | −1.63716 | − | 0.215537i | ||||
\(782\) | −0.000917762 | 2.16094i | −3.28191e−5 | 0.0772751i | ||||||
\(783\) | −3.41869 | − | 30.2565i | −0.122174 | − | 1.08128i | ||||
\(784\) | 0.0225478 | − | 13.2726i | 0.000805279 | − | 0.474023i | ||||
\(785\) | 13.0972 | − | 22.6851i | 0.467461 | − | 0.809666i | ||||
\(786\) | 16.4692 | + | 5.31164i | 0.587438 | + | 0.189460i | ||||
\(787\) | −14.1342 | − | 10.8456i | −0.503830 | − | 0.386602i | 0.325342 | − | 0.945597i | \(-0.394521\pi\) |
−0.829171 | + | 0.558994i | \(0.811187\pi\) | |||||||
\(788\) | 22.0653 | − | 2.88588i | 0.786043 | − | 0.102805i | ||||
\(789\) | 18.3948 | + | 51.5196i | 0.654873 | + | 1.83415i | ||||
\(790\) | 1.37433 | − | 10.4049i | 0.0488965 | − | 0.370191i | ||||
\(791\) | −5.14528 | + | 5.14528i | −0.182945 | + | 0.182945i | ||||
\(792\) | 41.4131 | − | 1.24697i | 1.47155 | − | 0.0443092i | ||||
\(793\) | −22.6218 | − | 22.6218i | −0.803323 | − | 0.803323i | ||||
\(794\) | −10.1351 | + | 7.77012i | −0.359682 | + | 0.275751i | ||||
\(795\) | 3.71260 | − | 20.3259i | 0.131672 | − | 0.720886i | ||||
\(796\) | −8.84504 | + | 32.8983i | −0.313504 | + | 1.16605i | ||||
\(797\) | −0.293764 | + | 0.382841i | −0.0104057 | + | 0.0135609i | −0.798527 | − | 0.601959i | \(-0.794387\pi\) |
0.788122 | + | 0.615520i | \(0.211054\pi\) | |||||||
\(798\) | −4.29104 | − | 2.77339i | −0.151901 | − | 0.0981770i | ||||
\(799\) | 14.6090 | + | 8.43453i | 0.516830 | + | 0.298392i | ||||
\(800\) | 20.5971 | + | 0.0437385i | 0.728219 | + | 0.00154639i | ||||
\(801\) | 7.35108 | − | 10.2292i | 0.259738 | − | 0.361432i | ||||
\(802\) | 17.8139 | − | 17.7987i | 0.629030 | − | 0.628496i | ||||
\(803\) | −0.709376 | + | 5.38824i | −0.0250333 | + | 0.190147i | ||||
\(804\) | 8.76403 | + | 0.443940i | 0.309083 | + | 0.0156565i | ||||
\(805\) | 0.755522 | − | 0.0994664i | 0.0266287 | − | 0.00350573i | ||||
\(806\) | 20.9988 | − | 2.75547i | 0.739650 | − | 0.0970573i | ||||
\(807\) | −18.0864 | − | 35.2697i | −0.636671 | − | 1.24155i | ||||
\(808\) | −35.1154 | − | 4.66856i | −1.23536 | − | 0.164239i | ||||
\(809\) | −2.96581 | − | 2.96581i | −0.104272 | − | 0.104272i | 0.653046 | − | 0.757318i | \(-0.273491\pi\) |
−0.757318 | + | 0.653046i | \(0.773491\pi\) | |||||||
\(810\) | 11.1857 | − | 9.74793i | 0.393025 | − | 0.342508i | ||||
\(811\) | 2.73876 | − | 6.61195i | 0.0961709 | − | 0.232177i | −0.868472 | − | 0.495739i | \(-0.834897\pi\) |
0.964642 | + | 0.263562i | \(0.0848973\pi\) | |||||||
\(812\) | −13.6748 | − | 17.8527i | −0.479890 | − | 0.626506i | ||||
\(813\) | 1.55508 | + | 19.1239i | 0.0545390 | + | 0.670703i | ||||
\(814\) | −45.3961 | + | 26.1838i | −1.59113 | + | 0.917741i | ||||
\(815\) | −8.40084 | + | 4.85023i | −0.294269 | + | 0.169896i | ||||
\(816\) | 28.0589 | + | 13.3524i | 0.982257 | + | 0.467429i | ||||
\(817\) | 11.1917 | + | 6.46155i | 0.391549 | + | 0.226061i | ||||
\(818\) | 3.11054 | + | 0.00132106i | 0.108757 | + | 4.61897e-5i | ||||
\(819\) | 15.0194 | + | 3.52341i | 0.524820 | + | 0.123118i | ||||
\(820\) | −8.22214 | + | 3.39754i | −0.287129 | + | 0.118647i | ||||
\(821\) | 21.2304 | + | 27.6680i | 0.740945 | + | 0.965619i | 1.00000 | 0.000243759i | \(-7.75908e-5\pi\) | |
−0.259054 | + | 0.965863i | \(0.583411\pi\) | |||||||
\(822\) | 28.7560 | − | 19.8556i | 1.00298 | − | 0.692543i | ||||
\(823\) | 9.68278 | − | 36.1366i | 0.337520 | − | 1.25964i | −0.563590 | − | 0.826054i | \(-0.690580\pi\) |
0.901111 | − | 0.433589i | \(-0.142753\pi\) | |||||||
\(824\) | 5.55563 | + | 9.65100i | 0.193539 | + | 0.336209i | ||||
\(825\) | −25.8693 | − | 16.7043i | −0.900652 | − | 0.581569i | ||||
\(826\) | 2.06936 | − | 1.58648i | 0.0720023 | − | 0.0552008i | ||||
\(827\) | −2.02392 | + | 4.88617i | −0.0703785 | + | 0.169909i | −0.955155 | − | 0.296108i | \(-0.904311\pi\) |
0.884776 | + | 0.466016i | \(0.154311\pi\) | |||||||
\(828\) | −1.86376 | + | 0.839523i | −0.0647700 | + | 0.0291754i | ||||
\(829\) | −49.1995 | + | 20.3791i | −1.70877 | + | 0.707795i | −0.708772 | + | 0.705438i | \(0.750750\pi\) |
−0.999997 | + | 0.00235766i | \(0.999250\pi\) | |||||||
\(830\) | 28.7841 | − | 7.69956i | 0.999109 | − | 0.267256i | ||||
\(831\) | 6.14308 | + | 6.78704i | 0.213101 | + | 0.235440i | ||||
\(832\) | 16.9761 | + | 13.0951i | 0.588540 | + | 0.453990i | ||||
\(833\) | −12.8885 | + | 7.44121i | −0.446562 | + | 0.257822i | ||||
\(834\) | 17.0734 | − | 8.74610i | 0.591202 | − | 0.302853i | ||||
\(835\) | 7.99164 | + | 1.05212i | 0.276562 | + | 0.0364101i | ||||
\(836\) | −0.00901710 | + | 10.6157i | −0.000311863 | + | 0.367153i | ||||
\(837\) | 20.1506 | + | 20.9055i | 0.696505 | + | 0.722601i | ||||
\(838\) | −13.8815 | + | 33.4727i | −0.479529 | + | 1.15630i | ||||
\(839\) | −26.1888 | + | 7.01726i | −0.904137 | + | 0.242263i | −0.680792 | − | 0.732477i | \(-0.738364\pi\) |
−0.223345 | + | 0.974739i | \(0.571698\pi\) | |||||||
\(840\) | 3.37241 | − | 10.4261i | 0.116359 | − | 0.359736i | ||||
\(841\) | 5.15671 | + | 1.38174i | 0.177818 | + | 0.0476461i | ||||
\(842\) | 6.70780 | − | 8.73409i | 0.231166 | − | 0.300997i | ||||
\(843\) | 47.3841 | − | 16.9183i | 1.63200 | − | 0.582696i | ||||
\(844\) | 40.4919 | + | 5.36585i | 1.39379 | + | 0.184700i | ||||
\(845\) | 6.26555 | − | 2.59528i | 0.215541 | − | 0.0892802i | ||||
\(846\) | −1.59223 | + | 15.8774i | −0.0547421 | + | 0.545876i | ||||
\(847\) | −24.6408 | −0.846668 | ||||||||
\(848\) | 24.8637 | + | 32.5173i | 0.853824 | + | 1.11665i | ||||
\(849\) | 20.2158 | − | 4.35193i | 0.693806 | − | 0.149358i | ||||
\(850\) | −11.5391 | − | 20.0060i | −0.395789 | − | 0.686200i | ||||
\(851\) | 1.57398 | − | 2.05125i | 0.0539552 | − | 0.0703158i | ||||
\(852\) | 5.90999 | − | 32.2016i | 0.202473 | − | 1.10321i | ||||
\(853\) | 25.0743 | − | 19.2402i | 0.858528 | − | 0.658772i | −0.0826883 | − | 0.996575i | \(-0.526351\pi\) |
0.941217 | + | 0.337804i | \(0.109684\pi\) | |||||||
\(854\) | −12.3837 | − | 29.9329i | −0.423762 | − | 1.02428i | ||||
\(855\) | 2.40774 | + | 2.94193i | 0.0823430 | + | 0.100612i | ||||
\(856\) | −12.7787 | − | 30.9621i | −0.436767 | − | 1.05826i | ||||
\(857\) | −6.40709 | − | 23.9116i | −0.218862 | − | 0.816804i | −0.984771 | − | 0.173855i | \(-0.944378\pi\) |
0.765909 | − | 0.642949i | \(-0.222289\pi\) | |||||||
\(858\) | −10.7653 | − | 30.1917i | −0.367523 | − | 1.03073i | ||||
\(859\) | 0.403091 | + | 3.06178i | 0.0137533 | + | 0.104466i | 0.996945 | − | 0.0781117i | \(-0.0248891\pi\) |
−0.983191 | + | 0.182578i | \(0.941556\pi\) | |||||||
\(860\) | −7.19630 | + | 26.7660i | −0.245392 | + | 0.912713i | ||||
\(861\) | −1.02785 | − | 12.6402i | −0.0350292 | − | 0.430778i | ||||
\(862\) | 8.13583 | − | 2.17629i | 0.277107 | − | 0.0741246i | ||||
\(863\) | 38.7531 | 1.31917 | 0.659585 | − | 0.751630i | \(-0.270732\pi\) | ||||
0.659585 | + | 0.751630i | \(0.270732\pi\) | |||||||
\(864\) | −0.602828 | + | 29.3877i | −0.0205086 | + | 0.999790i | ||||
\(865\) | 8.80985 | 0.299544 | ||||||||
\(866\) | −0.889507 | + | 0.237938i | −0.0302267 | + | 0.00808546i | ||||
\(867\) | −0.437482 | − | 5.38001i | −0.0148577 | − | 0.182715i | ||||
\(868\) | 20.7091 | + | 5.56784i | 0.702912 | + | 0.188985i | ||||
\(869\) | −4.05744 | − | 30.8194i | −0.137639 | − | 1.04547i | ||||
\(870\) | 5.61968 | + | 15.7606i | 0.190525 | + | 0.534333i | ||||
\(871\) | −1.75711 | − | 6.55761i | −0.0595373 | − | 0.222196i | ||||
\(872\) | 14.7843 | − | 35.5641i | 0.500658 | − | 1.20435i | ||||
\(873\) | 3.55409 | − | 9.40448i | 0.120288 | − | 0.318293i | ||||
\(874\) | −0.200223 | − | 0.483962i | −0.00677264 | − | 0.0163703i | ||||
\(875\) | −15.3342 | + | 11.7664i | −0.518391 | + | 0.397775i | ||||
\(876\) | −3.79234 | − | 0.696012i | −0.128131 | − | 0.0235161i | ||||
\(877\) | 6.81089 | − | 8.87612i | 0.229987 | − | 0.299725i | −0.664077 | − | 0.747664i | \(-0.731175\pi\) |
0.894064 | + | 0.447939i | \(0.147842\pi\) | |||||||
\(878\) | 24.9272 | + | 43.2175i | 0.841251 | + | 1.45852i | ||||
\(879\) | 19.3355 | − | 4.16243i | 0.652172 | − | 0.140395i | ||||
\(880\) | −22.0020 | + | 5.85539i | −0.741689 | + | 0.197385i | ||||
\(881\) | 33.1806 | 1.11788 | 0.558941 | − | 0.829208i | \(-0.311208\pi\) | ||||
0.558941 | + | 0.829208i | \(0.311208\pi\) | |||||||
\(882\) | −11.4285 | − | 8.22028i | −0.384818 | − | 0.276791i | ||||
\(883\) | −16.9677 | + | 7.02823i | −0.571007 | + | 0.236519i | −0.649456 | − | 0.760399i | \(-0.725003\pi\) |
0.0784488 | + | 0.996918i | \(0.475003\pi\) | |||||||
\(884\) | 3.15811 | − | 23.8318i | 0.106219 | − | 0.801551i | ||||
\(885\) | −1.82718 | + | 0.652384i | −0.0614199 | + | 0.0219297i | ||||
\(886\) | −11.7455 | + | 15.2935i | −0.394596 | + | 0.513796i | ||||
\(887\) | 24.3228 | + | 6.51728i | 0.816681 | + | 0.218829i | 0.642895 | − | 0.765955i | \(-0.277733\pi\) |
0.173786 | + | 0.984783i | \(0.444400\pi\) | |||||||
\(888\) | −16.9230 | − | 33.1048i | −0.567898 | − | 1.11093i | ||||
\(889\) | 1.11676 | − | 0.299235i | 0.0374550 | − | 0.0100360i | ||||
\(890\) | −2.65172 | + | 6.39413i | −0.0888858 | + | 0.214332i | ||||
\(891\) | 24.5131 | − | 36.4731i | 0.821221 | − | 1.22189i | ||||
\(892\) | 25.4498 | + | 0.0216173i | 0.852123 | + | 0.000723801i | ||||
\(893\) | −4.05355 | − | 0.533660i | −0.135647 | − | 0.0178583i | ||||
\(894\) | −36.2509 | + | 18.5701i | −1.21241 | + | 0.621076i | ||||
\(895\) | −23.4953 | + | 13.5650i | −0.785362 | + | 0.453429i | ||||
\(896\) | 10.7985 | + | 18.8326i | 0.360752 | + | 0.629153i | ||||
\(897\) | 1.06122 | + | 1.17247i | 0.0354332 | + | 0.0391475i | ||||
\(898\) | −36.6661 | + | 9.80796i | −1.22356 | + | 0.327296i | ||||
\(899\) | −30.2525 | + | 12.5310i | −1.00898 | + | 0.417932i | ||||
\(900\) | 12.7642 | − | 17.7299i | 0.425473 | − | 0.590997i | ||||
\(901\) | 17.5646 | − | 42.4046i | 0.585160 | − | 1.41270i | ||||
\(902\) | −20.9115 | + | 16.0318i | −0.696276 | + | 0.533802i | ||||
\(903\) | −33.1917 | − | 21.4326i | −1.10455 | − | 0.713231i | ||||
\(904\) | −2.78929 | + | 10.3570i | −0.0927703 | + | 0.344467i | ||||
\(905\) | 7.58711 | − | 28.3155i | 0.252204 | − | 0.941238i | ||||
\(906\) | −20.2097 | + | 13.9545i | −0.671423 | + | 0.463607i | ||||
\(907\) | −2.26032 | − | 2.94571i | −0.0750529 | − | 0.0978108i | 0.754318 | − | 0.656509i | \(-0.227968\pi\) |
−0.829371 | + | 0.558698i | \(0.811301\pi\) | |||||||
\(908\) | 17.5382 | + | 42.4429i | 0.582026 | + | 1.40852i | ||||
\(909\) | −25.7218 | + | 27.3887i | −0.853137 | + | 0.908425i | ||||
\(910\) | −8.47760 | − | 0.00360047i | −0.281030 | − | 0.000119355i | ||||
\(911\) | −41.0434 | − | 23.6964i | −1.35983 | − | 0.785098i | −0.370229 | − | 0.928941i | \(-0.620721\pi\) |
−0.989601 | + | 0.143843i | \(0.954054\pi\) | |||||||
\(912\) | −7.52137 | − | 0.387398i | −0.249057 | − | 0.0128280i | ||||
\(913\) | 76.4275 | − | 44.1254i | 2.52938 | − | 1.46034i | ||||
\(914\) | 21.1873 | − | 12.2205i | 0.700812 | − | 0.404217i | ||||
\(915\) | 1.95348 | + | 24.0233i | 0.0645801 | + | 0.794186i | ||||
\(916\) | 23.7348 | − | 18.1803i | 0.784220 | − | 0.600696i | ||||
\(917\) | 5.18750 | − | 12.5237i | 0.171306 | − | 0.413570i | ||||
\(918\) | 28.8481 | − | 15.9396i | 0.952130 | − | 0.526085i | ||||
\(919\) | 18.4084 | + | 18.4084i | 0.607235 | + | 0.607235i | 0.942223 | − | 0.334987i | \(-0.108732\pi\) |
−0.334987 | + | 0.942223i | \(0.608732\pi\) | |||||||
\(920\) | 0.892036 | − | 0.682679i | 0.0294095 | − | 0.0225073i | ||||
\(921\) | 25.7729 | + | 50.2589i | 0.849245 | + | 1.65609i | ||||
\(922\) | −4.59284 | + | 0.602674i | −0.151257 | + | 0.0198480i | ||||
\(923\) | −25.1120 | + | 3.30606i | −0.826571 | + | 0.108820i | ||||
\(924\) | 1.64193 | − | 32.4142i | 0.0540156 | − | 1.06635i | ||||
\(925\) | −3.60685 | + | 27.3968i | −0.118593 | + | 0.900800i | ||||
\(926\) | −26.9632 | + | 26.9403i | −0.886065 | + | 0.885313i | ||||
\(927\) | 11.7529 | + | 1.17357i | 0.386016 | + | 0.0385452i | ||||
\(928\) | −30.5984 | − | 12.7505i | −1.00444 | − | 0.418554i | ||||
\(929\) | −16.1678 | − | 9.33448i | −0.530448 | − | 0.306254i | 0.210751 | − | 0.977540i | \(-0.432409\pi\) |
−0.741199 | + | 0.671285i | \(0.765742\pi\) | |||||||
\(930\) | −13.4007 | − | 8.66114i | −0.439425 | − | 0.284010i | ||||
\(931\) | 2.19582 | − | 2.86165i | 0.0719651 | − | 0.0937868i | ||||
\(932\) | −21.0042 | − | 5.64718i | −0.688015 | − | 0.184980i | ||||
\(933\) | 1.15301 | − | 6.31257i | 0.0377479 | − | 0.206664i | ||||
\(934\) | −19.5856 | + | 15.0154i | −0.640861 | + | 0.491317i | ||||
\(935\) | 18.0519 | + | 18.0519i | 0.590359 | + | 0.590359i | ||||
\(936\) | 21.7785 | − | 6.54408i | 0.711851 | − | 0.213900i | ||||
\(937\) | 3.70266 | − | 3.70266i | 0.120961 | − | 0.120961i | −0.644035 | − | 0.764996i | \(-0.722741\pi\) |
0.764996 | + | 0.644035i | \(0.222741\pi\) | |||||||
\(938\) | 0.900146 | − | 6.81492i | 0.0293908 | − | 0.222515i | ||||
\(939\) | 2.77740 | + | 7.77885i | 0.0906370 | + | 0.253853i | ||||
\(940\) | −1.13717 | − | 8.69473i | −0.0370904 | − | 0.283591i | ||||
\(941\) | −37.1844 | − | 28.5326i | −1.21218 | − | 0.930136i | −0.213275 | − | 0.976992i | \(-0.568413\pi\) |
−0.998902 | + | 0.0468567i | \(0.985080\pi\) | |||||||
\(942\) | 52.3846 | + | 16.8950i | 1.70678 | + | 0.550470i | ||||
\(943\) | 0.650004 | − | 1.12584i | 0.0211670 | − | 0.0366624i | ||||
\(944\) | 1.47692 | − | 3.54854i | 0.0480697 | − | 0.115495i | ||||
\(945\) | −6.90473 | − | 9.34945i | −0.224611 | − | 0.304137i | ||||
\(946\) | −0.0348647 | + | 82.0916i | −0.00113355 | + | 2.66903i | ||||
\(947\) | 22.5521 | + | 2.96904i | 0.732845 | + | 0.0964808i | 0.487707 | − | 0.873007i | \(-0.337833\pi\) |
0.245138 | + | 0.969488i | \(0.421167\pi\) | |||||||
\(948\) | 21.9824 | − | 1.76873i | 0.713956 | − | 0.0574457i | ||||
\(949\) | 0.389350 | + | 2.95740i | 0.0126388 | + | 0.0960014i | ||||
\(950\) | 4.43940 | + | 3.40947i | 0.144033 | + | 0.110618i | ||||
\(951\) | −0.271930 | + | 5.46009i | −0.00881793 | + | 0.177056i | ||||
\(952\) | 12.1977 | − | 21.0651i | 0.395331 | − | 0.682723i | ||||
\(953\) | −20.1825 | + | 20.1825i | −0.653774 | + | 0.653774i | −0.953900 | − | 0.300126i | \(-0.902971\pi\) |
0.300126 | + | 0.953900i | \(0.402971\pi\) | |||||||
\(954\) | 43.3961 | − | 1.34357i | 1.40500 | − | 0.0434998i | ||||
\(955\) | 5.05925 | + | 2.09561i | 0.163714 | + | 0.0678124i | ||||
\(956\) | −3.91290 | + | 6.76407i | −0.126552 | + | 0.218766i | ||||
\(957\) | 28.1764 | + | 40.7696i | 0.910814 | + | 1.31790i | ||||
\(958\) | 24.7333 | + | 6.63854i | 0.799098 | + | 0.214481i | ||||
\(959\) | −13.6871 | − | 23.7067i | −0.441979 | − | 0.765531i | ||||
\(960\) | −3.35911 | − | 15.7995i | −0.108415 | − | 0.509927i | ||||
\(961\) | 0.112702 | − | 0.195206i | 0.00363555 | − | 0.00629696i | ||||
\(962\) | −20.3477 | + | 20.3304i | −0.656035 | + | 0.655478i | ||||
\(963\) | −34.5883 | − | 8.11408i | −1.11459 | − | 0.261473i | ||||
\(964\) | 57.1756 | + | 0.0485654i | 1.84150 | + | 0.00156419i | ||||
\(965\) | 10.3568 | − | 7.94707i | 0.333398 | − | 0.255825i | ||||
\(966\) | 0.537789 | + | 1.50825i | 0.0173031 | + | 0.0485270i | ||||
\(967\) | −17.8839 | − | 4.79197i | −0.575107 | − | 0.154100i | −0.0404694 | − | 0.999181i | \(-0.512885\pi\) |
−0.534638 | + | 0.845081i | \(0.679552\pi\) | |||||||
\(968\) | −31.4787 | + | 18.1208i | −1.01176 | + | 0.582425i | ||||
\(969\) | 3.85337 | + | 7.51435i | 0.123788 | + | 0.241396i | ||||
\(970\) | −0.723448 | + | 5.47716i | −0.0232285 | + | 0.175861i | ||||
\(971\) | −38.0099 | − | 15.7442i | −1.21979 | − | 0.505255i | −0.322450 | − | 0.946586i | \(-0.604506\pi\) |
−0.897344 | + | 0.441331i | \(0.854506\pi\) | |||||||
\(972\) | 24.9629 | + | 18.6776i | 0.800685 | + | 0.599086i | ||||
\(973\) | −5.75065 | − | 13.8833i | −0.184357 | − | 0.445078i | ||||
\(974\) | 39.4078 | + | 22.7744i | 1.26271 | + | 0.729739i | ||||
\(975\) | −16.0878 | − | 5.18108i | −0.515222 | − | 0.165927i | ||||
\(976\) | −37.8329 | − | 29.1324i | −1.21100 | − | 0.932506i | ||||
\(977\) | −6.97197 | − | 12.0758i | −0.223053 | − | 0.386339i | 0.732680 | − | 0.680573i | \(-0.238269\pi\) |
−0.955734 | + | 0.294233i | \(0.904936\pi\) | |||||||
\(978\) | −13.6720 | − | 15.1181i | −0.437181 | − | 0.483422i | ||||
\(979\) | −2.67609 | + | 20.3269i | −0.0855281 | + | 0.649651i | ||||
\(980\) | 7.14470 | + | 2.96654i | 0.228229 | + | 0.0947628i | ||||
\(981\) | −21.5253 | − | 34.7199i | −0.687249 | − | 1.10852i | ||||
\(982\) | −13.3799 | + | 5.53549i | −0.426971 | + | 0.176645i | ||||
\(983\) | −8.81570 | − | 32.9007i | −0.281177 | − | 1.04937i | −0.951588 | − | 0.307377i | \(-0.900549\pi\) |
0.670410 | − | 0.741990i | \(-0.266118\pi\) | |||||||
\(984\) | −10.6087 | − | 15.3921i | −0.338193 | − | 0.490681i | ||||
\(985\) | −3.35701 | + | 12.5285i | −0.106963 | + | 0.399192i | ||||
\(986\) | 4.83588 | + | 36.8531i | 0.154006 | + | 1.17364i | ||||
\(987\) | 12.2965 | + | 2.24600i | 0.391402 | + | 0.0714909i | ||||
\(988\) | 1.50325 | + | 5.62932i | 0.0478247 | + | 0.179093i | ||||
\(989\) | −1.54991 | − | 3.74182i | −0.0492844 | − | 0.118983i | ||||
\(990\) | −8.54656 | + | 22.5860i | −0.271627 | + | 0.717831i | ||||
\(991\) | 18.4826i | 0.587119i | 0.955941 | + | 0.293560i | \(0.0948399\pi\) | ||||
−0.955941 | + | 0.293560i | \(0.905160\pi\) | |||||||
\(992\) | 30.5505 | − | 8.11650i | 0.969981 | − | 0.257699i | ||||
\(993\) | 23.1068 | − | 20.9144i | 0.733273 | − | 0.663699i | ||||
\(994\) | −24.7698 | − | 6.64831i | −0.785649 | − | 0.210872i | ||||
\(995\) | −15.7529 | − | 12.0876i | −0.499399 | − | 0.383202i | ||||
\(996\) | 28.5217 | + | 55.7358i | 0.903743 | + | 1.76606i | ||||
\(997\) | −2.97562 | − | 3.87790i | −0.0942388 | − | 0.122814i | 0.743854 | − | 0.668342i | \(-0.232996\pi\) |
−0.838093 | + | 0.545528i | \(0.816329\pi\) | |||||||
\(998\) | 4.56901 | − | 11.0173i | 0.144629 | − | 0.348747i | ||||
\(999\) | −38.9962 | − | 5.86523i | −1.23379 | − | 0.185568i |
(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 | 288.2.bf.a.11.29 | ✓ | 368 | |
3.2 | odd | 2 | 864.2.bn.a.683.18 | 368 | |||
9.4 | even | 3 | 864.2.bn.a.395.3 | 368 | |||
9.5 | odd | 6 | inner | 288.2.bf.a.203.44 | yes | 368 | |
32.3 | odd | 8 | inner | 288.2.bf.a.227.44 | yes | 368 | |
96.35 | even | 8 | 864.2.bn.a.35.3 | 368 | |||
288.67 | odd | 24 | 864.2.bn.a.611.18 | 368 | |||
288.131 | even | 24 | inner | 288.2.bf.a.131.29 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bf.a.11.29 | ✓ | 368 | 1.1 | even | 1 | trivial | |
288.2.bf.a.131.29 | yes | 368 | 288.131 | even | 24 | inner | |
288.2.bf.a.203.44 | yes | 368 | 9.5 | odd | 6 | inner | |
288.2.bf.a.227.44 | yes | 368 | 32.3 | odd | 8 | inner | |
864.2.bn.a.35.3 | 368 | 96.35 | even | 8 | |||
864.2.bn.a.395.3 | 368 | 9.4 | even | 3 | |||
864.2.bn.a.611.18 | 368 | 288.67 | odd | 24 | |||
864.2.bn.a.683.18 | 368 | 3.2 | odd | 2 |