Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(5,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([5, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.bf (of order \(18\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 101.19 | ||
Character | \(\chi\) | \(=\) | 378.101 |
Dual form | 378.2.bf.a.131.19 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.642788 | − | 0.766044i | 0.454519 | − | 0.541675i | ||||
\(3\) | 0.433794 | + | 1.67685i | 0.250451 | + | 0.968129i | ||||
\(4\) | −0.173648 | − | 0.984808i | −0.0868241 | − | 0.492404i | ||||
\(5\) | −1.92601 | + | 1.61612i | −0.861340 | + | 0.722750i | −0.962256 | − | 0.272145i | \(-0.912267\pi\) |
0.100916 | + | 0.994895i | \(0.467823\pi\) | |||||||
\(6\) | 1.56338 | + | 0.745552i | 0.638247 | + | 0.304370i | ||||
\(7\) | −2.53339 | + | 0.762832i | −0.957533 | + | 0.288323i | ||||
\(8\) | −0.866025 | − | 0.500000i | −0.306186 | − | 0.176777i | ||||
\(9\) | −2.62365 | + | 1.45481i | −0.874548 | + | 0.484938i | ||||
\(10\) | 2.51423i | 0.795070i | ||||||||
\(11\) | −3.54893 | + | 4.22945i | −1.07004 | + | 1.27523i | −0.110436 | + | 0.993883i | \(0.535225\pi\) |
−0.959607 | + | 0.281344i | \(0.909220\pi\) | |||||||
\(12\) | 1.57605 | − | 0.718386i | 0.454965 | − | 0.207380i | ||||
\(13\) | 0.369054 | − | 1.01397i | 0.102357 | − | 0.281224i | −0.877934 | − | 0.478782i | \(-0.841079\pi\) |
0.980291 | + | 0.197557i | \(0.0633008\pi\) | |||||||
\(14\) | −1.04407 | + | 2.43103i | −0.279040 | + | 0.649721i | ||||
\(15\) | −3.54548 | − | 2.52857i | −0.915439 | − | 0.652875i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 5.95585 | 1.44450 | 0.722252 | − | 0.691630i | \(-0.243107\pi\) | ||||
0.722252 | + | 0.691630i | \(0.243107\pi\) | |||||||
\(18\) | −0.571994 | + | 2.94497i | −0.134820 | + | 0.694135i | ||||
\(19\) | − | 2.25110i | − | 0.516437i | −0.966086 | − | 0.258219i | \(-0.916864\pi\) | ||
0.966086 | − | 0.258219i | \(-0.0831355\pi\) | |||||||
\(20\) | 1.92601 | + | 1.61612i | 0.430670 | + | 0.361375i | ||||
\(21\) | −2.37813 | − | 3.91721i | −0.518949 | − | 0.854805i | ||||
\(22\) | 0.958739 | + | 5.43728i | 0.204404 | + | 1.15923i | ||||
\(23\) | 0.623128 | − | 1.71203i | 0.129931 | − | 0.356983i | −0.857619 | − | 0.514285i | \(-0.828057\pi\) |
0.987551 | + | 0.157302i | \(0.0502796\pi\) | |||||||
\(24\) | 0.462748 | − | 1.66909i | 0.0944580 | − | 0.340702i | ||||
\(25\) | 0.229454 | − | 1.30130i | 0.0458907 | − | 0.260259i | ||||
\(26\) | −0.539521 | − | 0.934479i | −0.105809 | − | 0.183266i | ||||
\(27\) | −3.57763 | − | 3.76837i | −0.688515 | − | 0.725223i | ||||
\(28\) | 1.19116 | + | 2.36244i | 0.225108 | + | 0.446460i | ||||
\(29\) | 2.98537 | + | 8.20224i | 0.554370 | + | 1.52312i | 0.827685 | + | 0.561194i | \(0.189658\pi\) |
−0.273315 | + | 0.961925i | \(0.588120\pi\) | |||||||
\(30\) | −4.21599 | + | 1.09066i | −0.769731 | + | 0.199126i | ||||
\(31\) | 2.79075 | − | 0.492084i | 0.501233 | − | 0.0883810i | 0.0826855 | − | 0.996576i | \(-0.473650\pi\) |
0.418548 | + | 0.908195i | \(0.362539\pi\) | |||||||
\(32\) | −0.342020 | + | 0.939693i | −0.0604612 | + | 0.166116i | ||||
\(33\) | −8.63166 | − | 4.11631i | −1.50258 | − | 0.716557i | ||||
\(34\) | 3.82834 | − | 4.56244i | 0.656556 | − | 0.782452i | ||||
\(35\) | 3.64653 | − | 5.56349i | 0.616376 | − | 0.940401i | ||||
\(36\) | 1.88830 | + | 2.33116i | 0.314717 | + | 0.388527i | ||||
\(37\) | −3.16212 | + | 5.47695i | −0.519849 | + | 0.900405i | 0.479885 | + | 0.877332i | \(0.340678\pi\) |
−0.999734 | + | 0.0230734i | \(0.992655\pi\) | |||||||
\(38\) | −1.72444 | − | 1.44698i | −0.279741 | − | 0.234731i | ||||
\(39\) | 1.86037 | + | 0.178995i | 0.297897 | + | 0.0286621i | ||||
\(40\) | 2.47604 | − | 0.436592i | 0.391496 | − | 0.0690313i | ||||
\(41\) | 2.90079 | + | 1.05580i | 0.453027 | + | 0.164888i | 0.558448 | − | 0.829539i | \(-0.311397\pi\) |
−0.105421 | + | 0.994428i | \(0.533619\pi\) | |||||||
\(42\) | −4.52939 | − | 0.696183i | −0.698899 | − | 0.107423i | ||||
\(43\) | 0.312815 | − | 1.77406i | 0.0477038 | − | 0.270541i | −0.951621 | − | 0.307273i | \(-0.900584\pi\) |
0.999325 | + | 0.0367315i | \(0.0116946\pi\) | |||||||
\(44\) | 4.78146 | + | 2.76058i | 0.720832 | + | 0.416173i | ||||
\(45\) | 2.70203 | − | 7.04211i | 0.402794 | − | 1.04978i | ||||
\(46\) | −0.910952 | − | 1.57781i | −0.134313 | − | 0.232636i | ||||
\(47\) | −1.02128 | + | 5.79199i | −0.148970 | + | 0.844849i | 0.815124 | + | 0.579287i | \(0.196669\pi\) |
−0.964094 | + | 0.265562i | \(0.914442\pi\) | |||||||
\(48\) | −0.981149 | − | 1.42736i | −0.141617 | − | 0.206021i | ||||
\(49\) | 5.83618 | − | 3.86511i | 0.833739 | − | 0.552158i | ||||
\(50\) | −0.849360 | − | 1.01223i | −0.120118 | − | 0.143151i | ||||
\(51\) | 2.58361 | + | 9.98705i | 0.361778 | + | 1.39847i | ||||
\(52\) | −1.06265 | − | 0.187374i | −0.147363 | − | 0.0259841i | ||||
\(53\) | −1.83711 | − | 1.06065i | −0.252346 | − | 0.145692i | 0.368492 | − | 0.929631i | \(-0.379874\pi\) |
−0.620838 | + | 0.783939i | \(0.713207\pi\) | |||||||
\(54\) | −5.18639 | + | 0.318362i | −0.705778 | + | 0.0433235i | ||||
\(55\) | − | 13.8815i | − | 1.87178i | ||||||
\(56\) | 2.57540 | + | 0.606066i | 0.344152 | + | 0.0809889i | ||||
\(57\) | 3.77475 | − | 0.976514i | 0.499978 | − | 0.129342i | ||||
\(58\) | 8.20224 | + | 2.98537i | 1.07701 | + | 0.391999i | ||||
\(59\) | 10.0834 | + | 3.67006i | 1.31275 | + | 0.477802i | 0.901128 | − | 0.433554i | \(-0.142740\pi\) |
0.411621 | + | 0.911355i | \(0.364963\pi\) | |||||||
\(60\) | −1.87449 | + | 3.93070i | −0.241996 | + | 0.507451i | ||||
\(61\) | −5.35212 | − | 0.943723i | −0.685269 | − | 0.120831i | −0.179835 | − | 0.983697i | \(-0.557556\pi\) |
−0.505434 | + | 0.862865i | \(0.668667\pi\) | |||||||
\(62\) | 1.41690 | − | 2.45414i | 0.179947 | − | 0.311677i | ||||
\(63\) | 5.53695 | − | 5.68702i | 0.697590 | − | 0.716497i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 0.927889 | + | 2.54935i | 0.115090 | + | 0.316208i | ||||
\(66\) | −8.70160 | + | 3.96632i | −1.07109 | + | 0.488220i | ||||
\(67\) | 1.97593 | − | 1.65800i | 0.241398 | − | 0.202557i | −0.514060 | − | 0.857754i | \(-0.671859\pi\) |
0.755458 | + | 0.655197i | \(0.227415\pi\) | |||||||
\(68\) | −1.03422 | − | 5.86536i | −0.125418 | − | 0.711280i | ||||
\(69\) | 3.14112 | + | 0.302223i | 0.378147 | + | 0.0363833i | ||||
\(70\) | −1.91794 | − | 6.36955i | −0.229237 | − | 0.761306i | ||||
\(71\) | −10.0397 | + | 5.79644i | −1.19150 | + | 0.687911i | −0.958646 | − | 0.284601i | \(-0.908139\pi\) |
−0.232851 | + | 0.972512i | \(0.574805\pi\) | |||||||
\(72\) | 2.99955 | + | 0.0519161i | 0.353500 | + | 0.00611837i | ||||
\(73\) | 0.374428 | − | 0.216176i | 0.0438235 | − | 0.0253015i | −0.477928 | − | 0.878399i | \(-0.658612\pi\) |
0.521752 | + | 0.853097i | \(0.325279\pi\) | |||||||
\(74\) | 2.16302 | + | 5.94284i | 0.251446 | + | 0.690841i | ||||
\(75\) | 2.28161 | − | 0.179736i | 0.263458 | − | 0.0207541i | ||||
\(76\) | −2.21690 | + | 0.390899i | −0.254296 | + | 0.0448392i | ||||
\(77\) | 5.76448 | − | 13.4221i | 0.656924 | − | 1.52959i | ||||
\(78\) | 1.33294 | − | 1.31007i | 0.150926 | − | 0.148336i | ||||
\(79\) | −10.8017 | − | 9.06374i | −1.21529 | − | 1.01975i | −0.999057 | − | 0.0434084i | \(-0.986178\pi\) |
−0.216233 | − | 0.976342i | \(-0.569377\pi\) | |||||||
\(80\) | 1.25712 | − | 2.17739i | 0.140550 | − | 0.243440i | ||||
\(81\) | 4.76703 | − | 7.63384i | 0.529670 | − | 0.848204i | ||||
\(82\) | 2.67338 | − | 1.54348i | 0.295226 | − | 0.170449i | ||||
\(83\) | −6.41894 | + | 2.33630i | −0.704570 | + | 0.256442i | −0.669361 | − | 0.742938i | \(-0.733432\pi\) |
−0.0352090 | + | 0.999380i | \(0.511210\pi\) | |||||||
\(84\) | −3.44474 | + | 3.02221i | −0.375852 | + | 0.329750i | ||||
\(85\) | −11.4710 | + | 9.62535i | −1.24421 | + | 1.04402i | ||||
\(86\) | −1.15793 | − | 1.37997i | −0.124863 | − | 0.148806i | ||||
\(87\) | −12.4589 | + | 8.56410i | −1.33573 | + | 0.918168i | ||||
\(88\) | 5.18819 | − | 1.88835i | 0.553063 | − | 0.201298i | ||||
\(89\) | 15.8030 | 1.67512 | 0.837559 | − | 0.546347i | \(-0.183982\pi\) | ||||
0.837559 | + | 0.546347i | \(0.183982\pi\) | |||||||
\(90\) | −3.65774 | − | 6.59646i | −0.385560 | − | 0.695328i | ||||
\(91\) | −0.161473 | + | 2.85031i | −0.0169270 | + | 0.298794i | ||||
\(92\) | −1.79422 | − | 0.316370i | −0.187061 | − | 0.0329839i | ||||
\(93\) | 2.03576 | + | 4.46620i | 0.211099 | + | 0.463124i | ||||
\(94\) | 3.78045 | + | 4.50537i | 0.389924 | + | 0.464693i | ||||
\(95\) | 3.63804 | + | 4.33565i | 0.373255 | + | 0.444828i | ||||
\(96\) | −1.72409 | − | 0.165883i | −0.175964 | − | 0.0169304i | ||||
\(97\) | 9.27207 | + | 1.63492i | 0.941436 | + | 0.166001i | 0.623245 | − | 0.782026i | \(-0.285814\pi\) |
0.318190 | + | 0.948027i | \(0.396925\pi\) | |||||||
\(98\) | 0.790577 | − | 6.95521i | 0.0798604 | − | 0.702583i | ||||
\(99\) | 3.15807 | − | 16.2596i | 0.317398 | − | 1.63415i | ||||
\(100\) | −1.32137 | −0.132137 | ||||||||
\(101\) | −6.40493 | + | 2.33120i | −0.637314 | + | 0.231963i | −0.640412 | − | 0.768032i | \(-0.721236\pi\) |
0.00309738 | + | 0.999995i | \(0.499014\pi\) | |||||||
\(102\) | 9.31124 | + | 4.44039i | 0.921950 | + | 0.439665i | ||||
\(103\) | 4.98625 | + | 5.94238i | 0.491309 | + | 0.585520i | 0.953550 | − | 0.301235i | \(-0.0973988\pi\) |
−0.462241 | + | 0.886755i | \(0.652954\pi\) | |||||||
\(104\) | −0.826595 | + | 0.693595i | −0.0810543 | + | 0.0680126i | ||||
\(105\) | 10.9110 | + | 3.70127i | 1.06480 | + | 0.361207i | ||||
\(106\) | −1.99338 | + | 0.725530i | −0.193614 | + | 0.0704697i | ||||
\(107\) | −15.5749 | + | 8.99215i | −1.50568 | + | 0.869304i | −0.505700 | + | 0.862710i | \(0.668766\pi\) |
−0.999978 | + | 0.00659411i | \(0.997901\pi\) | |||||||
\(108\) | −3.08987 | + | 4.17764i | −0.297323 | + | 0.401994i | ||||
\(109\) | 3.60877 | − | 6.25057i | 0.345657 | − | 0.598696i | −0.639816 | − | 0.768529i | \(-0.720989\pi\) |
0.985473 | + | 0.169832i | \(0.0543226\pi\) | |||||||
\(110\) | −10.6338 | − | 8.92284i | −1.01390 | − | 0.850759i | ||||
\(111\) | −10.5557 | − | 2.92653i | −1.00191 | − | 0.277774i | ||||
\(112\) | 2.11971 | − | 1.58330i | 0.200294 | − | 0.149608i | ||||
\(113\) | 1.36027 | − | 0.239852i | 0.127963 | − | 0.0225634i | −0.109300 | − | 0.994009i | \(-0.534861\pi\) |
0.237263 | + | 0.971445i | \(0.423750\pi\) | |||||||
\(114\) | 1.67831 | − | 3.51932i | 0.157188 | − | 0.329614i | ||||
\(115\) | 1.56669 | + | 4.30444i | 0.146094 | + | 0.401391i | ||||
\(116\) | 7.55923 | − | 4.36432i | 0.701857 | − | 0.405217i | ||||
\(117\) | 0.506869 | + | 3.19720i | 0.0468600 | + | 0.295581i | ||||
\(118\) | 9.29293 | − | 5.36527i | 0.855483 | − | 0.493913i | ||||
\(119\) | −15.0885 | + | 4.54331i | −1.38316 | + | 0.416484i | ||||
\(120\) | 1.80619 | + | 3.96255i | 0.164882 | + | 0.361730i | ||||
\(121\) | −3.38321 | − | 19.1872i | −0.307565 | − | 1.74429i | ||||
\(122\) | −4.16321 | + | 3.49335i | −0.376919 | + | 0.316273i | ||||
\(123\) | −0.512073 | + | 5.32219i | −0.0461721 | + | 0.479885i | ||||
\(124\) | −0.969217 | − | 2.66290i | −0.0870383 | − | 0.239136i | ||||
\(125\) | −4.62447 | − | 8.00981i | −0.413625 | − | 0.716419i | ||||
\(126\) | −0.797427 | − | 7.89710i | −0.0710404 | − | 0.703529i | ||||
\(127\) | 8.72263 | − | 15.1080i | 0.774008 | − | 1.34062i | −0.161342 | − | 0.986899i | \(-0.551582\pi\) |
0.935350 | − | 0.353723i | \(-0.115085\pi\) | |||||||
\(128\) | 0.984808 | + | 0.173648i | 0.0870455 | + | 0.0153485i | ||||
\(129\) | 3.11053 | − | 0.245034i | 0.273867 | − | 0.0215740i | ||||
\(130\) | 2.54935 | + | 0.927889i | 0.223593 | + | 0.0813812i | ||||
\(131\) | −18.3269 | − | 6.67046i | −1.60123 | − | 0.582800i | −0.621552 | − | 0.783373i | \(-0.713498\pi\) |
−0.979679 | + | 0.200572i | \(0.935720\pi\) | |||||||
\(132\) | −2.55490 | + | 9.21531i | −0.222376 | + | 0.802090i | ||||
\(133\) | 1.71721 | + | 5.70292i | 0.148901 | + | 0.494506i | ||||
\(134\) | − | 2.57939i | − | 0.222826i | ||||||
\(135\) | 12.9807 | + | 1.47606i | 1.11720 | + | 0.127039i | ||||
\(136\) | −5.15791 | − | 2.97792i | −0.442287 | − | 0.255355i | ||||
\(137\) | 15.8618 | + | 2.79686i | 1.35516 | + | 0.238952i | 0.803595 | − | 0.595177i | \(-0.202918\pi\) |
0.551570 | + | 0.834129i | \(0.314029\pi\) | |||||||
\(138\) | 2.25059 | − | 2.21198i | 0.191583 | − | 0.188296i | ||||
\(139\) | 3.12282 | + | 3.72163i | 0.264874 | + | 0.315664i | 0.882046 | − | 0.471164i | \(-0.156166\pi\) |
−0.617172 | + | 0.786829i | \(0.711722\pi\) | |||||||
\(140\) | −6.11218 | − | 2.62504i | −0.516574 | − | 0.221856i | ||||
\(141\) | −10.1553 | + | 0.799993i | −0.855233 | + | 0.0673715i | ||||
\(142\) | −2.01308 | + | 11.4168i | −0.168934 | + | 0.958073i | ||||
\(143\) | 2.97878 | + | 5.15940i | 0.249098 | + | 0.431451i | ||||
\(144\) | 1.96784 | − | 2.26442i | 0.163987 | − | 0.188702i | ||||
\(145\) | −19.0057 | − | 10.9729i | −1.57833 | − | 0.911252i | ||||
\(146\) | 0.0750772 | − | 0.425784i | 0.00621343 | − | 0.0352381i | ||||
\(147\) | 9.01290 | + | 8.10972i | 0.743371 | + | 0.668879i | ||||
\(148\) | 5.94284 | + | 2.16302i | 0.488498 | + | 0.177799i | ||||
\(149\) | −8.83668 | + | 1.55814i | −0.723929 | + | 0.127648i | −0.523458 | − | 0.852051i | \(-0.675358\pi\) |
−0.200471 | + | 0.979700i | \(0.564247\pi\) | |||||||
\(150\) | 1.32891 | − | 1.86335i | 0.108505 | − | 0.152142i | ||||
\(151\) | −10.5742 | − | 8.87278i | −0.860514 | − | 0.722057i | 0.101565 | − | 0.994829i | \(-0.467615\pi\) |
−0.962079 | + | 0.272772i | \(0.912060\pi\) | |||||||
\(152\) | −1.12555 | + | 1.94951i | −0.0912941 | + | 0.158126i | ||||
\(153\) | −15.6260 | + | 8.66465i | −1.26329 | + | 0.700496i | ||||
\(154\) | −6.57659 | − | 13.0434i | −0.529957 | − | 1.05107i | ||||
\(155\) | −4.57976 | + | 5.45794i | −0.367855 | + | 0.438393i | ||||
\(156\) | −0.146774 | − | 1.86318i | −0.0117513 | − | 0.149174i | ||||
\(157\) | −0.597998 | + | 1.64299i | −0.0477255 | + | 0.131125i | −0.961265 | − | 0.275624i | \(-0.911115\pi\) |
0.913540 | + | 0.406749i | \(0.133338\pi\) | |||||||
\(158\) | −13.8865 | + | 2.44856i | −1.10475 | + | 0.194797i | ||||
\(159\) | 0.981630 | − | 3.54065i | 0.0778483 | − | 0.280792i | ||||
\(160\) | −0.859919 | − | 2.36261i | −0.0679825 | − | 0.186780i | ||||
\(161\) | −0.272638 | + | 4.81259i | −0.0214869 | + | 0.379285i | ||||
\(162\) | −2.78367 | − | 8.55869i | −0.218706 | − | 0.672434i | ||||
\(163\) | 12.1493 | + | 21.0432i | 0.951606 | + | 1.64823i | 0.741951 | + | 0.670454i | \(0.233901\pi\) |
0.209655 | + | 0.977775i | \(0.432766\pi\) | |||||||
\(164\) | 0.536044 | − | 3.04006i | 0.0418580 | − | 0.237389i | ||||
\(165\) | 23.2771 | − | 6.02170i | 1.81212 | − | 0.468789i | ||||
\(166\) | −2.33630 | + | 6.41894i | −0.181332 | + | 0.498206i | ||||
\(167\) | 2.40743 | + | 13.6532i | 0.186293 | + | 1.05652i | 0.924283 | + | 0.381708i | \(0.124664\pi\) |
−0.737990 | + | 0.674811i | \(0.764225\pi\) | |||||||
\(168\) | 0.100913 | + | 4.58146i | 0.00778560 | + | 0.353468i | ||||
\(169\) | 9.06665 | + | 7.60782i | 0.697434 | + | 0.585217i | ||||
\(170\) | 14.9744i | 1.14848i | ||||||||
\(171\) | 3.27493 | + | 5.90608i | 0.250440 | + | 0.451650i | ||||
\(172\) | −1.80143 | −0.137358 | ||||||||
\(173\) | 21.0732 | − | 7.67002i | 1.60217 | − | 0.583141i | 0.622297 | − | 0.782781i | \(-0.286199\pi\) |
0.979869 | + | 0.199640i | \(0.0639772\pi\) | |||||||
\(174\) | −1.44793 | + | 15.0490i | −0.109768 | + | 1.14086i | ||||
\(175\) | 0.411373 | + | 3.47173i | 0.0310969 | + | 0.262438i | ||||
\(176\) | 1.88835 | − | 5.18819i | 0.142339 | − | 0.391074i | ||||
\(177\) | −1.78001 | + | 18.5004i | −0.133794 | + | 1.39058i | ||||
\(178\) | 10.1580 | − | 12.1058i | 0.761374 | − | 0.907370i | ||||
\(179\) | − | 3.77729i | − | 0.282328i | −0.989986 | − | 0.141164i | \(-0.954916\pi\) | ||
0.989986 | − | 0.141164i | \(-0.0450844\pi\) | |||||||
\(180\) | −7.40433 | − | 1.43813i | −0.551886 | − | 0.107192i | ||||
\(181\) | 17.0656 | + | 9.85285i | 1.26848 | + | 0.732356i | 0.974700 | − | 0.223517i | \(-0.0717538\pi\) |
0.293779 | + | 0.955873i | \(0.405087\pi\) | |||||||
\(182\) | 2.07967 | + | 1.95584i | 0.154155 | + | 0.144976i | ||||
\(183\) | −0.739237 | − | 9.38408i | −0.0546460 | − | 0.693691i | ||||
\(184\) | −1.39566 | + | 1.17110i | −0.102889 | + | 0.0863344i | ||||
\(185\) | −2.76111 | − | 15.6590i | −0.203001 | − | 1.15128i | ||||
\(186\) | 4.72987 | + | 1.31134i | 0.346811 | + | 0.0961518i | ||||
\(187\) | −21.1369 | + | 25.1900i | −1.54568 | + | 1.84207i | ||||
\(188\) | 5.88134 | 0.428941 | ||||||||
\(189\) | 11.9382 | + | 6.81763i | 0.868374 | + | 0.495910i | ||||
\(190\) | 5.65979 | 0.410604 | ||||||||
\(191\) | 2.19657 | − | 2.61777i | 0.158939 | − | 0.189416i | −0.680698 | − | 0.732564i | \(-0.738323\pi\) |
0.839637 | + | 0.543148i | \(0.182768\pi\) | |||||||
\(192\) | −1.23530 | + | 1.21410i | −0.0891499 | + | 0.0876202i | ||||
\(193\) | 2.34561 | + | 13.3026i | 0.168841 | + | 0.957542i | 0.945016 | + | 0.327025i | \(0.106046\pi\) |
−0.776175 | + | 0.630517i | \(0.782843\pi\) | |||||||
\(194\) | 7.21239 | − | 6.05191i | 0.517819 | − | 0.434502i | ||||
\(195\) | −3.87237 | + | 2.66182i | −0.277306 | + | 0.190617i | ||||
\(196\) | −4.81983 | − | 5.07634i | −0.344273 | − | 0.362596i | ||||
\(197\) | 4.36587 | + | 2.52063i | 0.311055 | + | 0.179588i | 0.647398 | − | 0.762152i | \(-0.275857\pi\) |
−0.336343 | + | 0.941739i | \(0.609190\pi\) | |||||||
\(198\) | −10.4256 | − | 12.8707i | −0.740917 | − | 0.914681i | ||||
\(199\) | − | 1.63061i | − | 0.115591i | −0.998328 | − | 0.0577955i | \(-0.981593\pi\) | ||
0.998328 | − | 0.0577955i | \(-0.0184071\pi\) | |||||||
\(200\) | −0.849360 | + | 1.01223i | −0.0600588 | + | 0.0715753i | ||||
\(201\) | 3.63736 | + | 2.59410i | 0.256560 | + | 0.182974i | ||||
\(202\) | −2.33120 | + | 6.40493i | −0.164023 | + | 0.450649i | ||||
\(203\) | −13.8201 | − | 18.5022i | −0.969978 | − | 1.29860i | ||||
\(204\) | 9.38669 | − | 4.27859i | 0.657200 | − | 0.299562i | ||||
\(205\) | −7.29326 | + | 2.65453i | −0.509384 | + | 0.185400i | ||||
\(206\) | 7.75722 | 0.540471 | ||||||||
\(207\) | 0.855819 | + | 5.39829i | 0.0594836 | + | 0.375207i | ||||
\(208\) | 1.07904i | 0.0748182i | ||||||||
\(209\) | 9.52091 | + | 7.98899i | 0.658575 | + | 0.552610i | ||||
\(210\) | 9.84878 | − | 5.97916i | 0.679630 | − | 0.412601i | ||||
\(211\) | 4.57458 | + | 25.9437i | 0.314927 | + | 1.78604i | 0.572627 | + | 0.819816i | \(0.305924\pi\) |
−0.257700 | + | 0.966225i | \(0.582965\pi\) | |||||||
\(212\) | −0.725530 | + | 1.99338i | −0.0498296 | + | 0.136906i | ||||
\(213\) | −14.0749 | − | 14.3207i | −0.964399 | − | 0.981235i | ||||
\(214\) | −3.12294 | + | 17.7111i | −0.213480 | + | 1.21070i | ||||
\(215\) | 2.26460 | + | 3.92241i | 0.154445 | + | 0.267506i | ||||
\(216\) | 1.21413 | + | 5.05231i | 0.0826112 | + | 0.343766i | ||||
\(217\) | −6.69469 | + | 3.37552i | −0.454465 | + | 0.229145i | ||||
\(218\) | −2.46854 | − | 6.78227i | −0.167191 | − | 0.459353i | ||||
\(219\) | 0.524919 | + | 0.534083i | 0.0354708 | + | 0.0360900i | ||||
\(220\) | −13.6706 | + | 2.41049i | −0.921671 | + | 0.162515i | ||||
\(221\) | 2.19803 | − | 6.03904i | 0.147856 | − | 0.406230i | ||||
\(222\) | −9.02694 | + | 6.20502i | −0.605848 | + | 0.416454i | ||||
\(223\) | −3.26265 | + | 3.88827i | −0.218483 | + | 0.260378i | −0.864142 | − | 0.503248i | \(-0.832138\pi\) |
0.645659 | + | 0.763626i | \(0.276583\pi\) | |||||||
\(224\) | 0.149645 | − | 2.64152i | 0.00999855 | − | 0.176494i | ||||
\(225\) | 1.29114 | + | 3.74795i | 0.0860759 | + | 0.249863i | ||||
\(226\) | 0.690627 | − | 1.19620i | 0.0459398 | − | 0.0795701i | ||||
\(227\) | 19.4169 | + | 16.2927i | 1.28874 | + | 1.08138i | 0.991975 | + | 0.126436i | \(0.0403537\pi\) |
0.296769 | + | 0.954949i | \(0.404091\pi\) | |||||||
\(228\) | −1.61716 | − | 3.54784i | −0.107099 | − | 0.234961i | ||||
\(229\) | −23.9496 | + | 4.22295i | −1.58263 | + | 0.279061i | −0.894684 | − | 0.446700i | \(-0.852599\pi\) |
−0.687947 | + | 0.725761i | \(0.741488\pi\) | |||||||
\(230\) | 4.30444 | + | 1.56669i | 0.283826 | + | 0.103304i | ||||
\(231\) | 25.0074 | + | 3.84374i | 1.64537 | + | 0.252899i | ||||
\(232\) | 1.51571 | − | 8.59604i | 0.0995114 | − | 0.564357i | ||||
\(233\) | −1.63962 | − | 0.946638i | −0.107415 | − | 0.0620163i | 0.445330 | − | 0.895367i | \(-0.353086\pi\) |
−0.552745 | + | 0.833350i | \(0.686420\pi\) | |||||||
\(234\) | 2.77501 | + | 1.66684i | 0.181408 | + | 0.108965i | ||||
\(235\) | −7.39354 | − | 12.8060i | −0.482301 | − | 0.835370i | ||||
\(236\) | 1.86334 | − | 10.5675i | 0.121293 | − | 0.687887i | ||||
\(237\) | 10.5128 | − | 22.0447i | 0.682879 | − | 1.43196i | ||||
\(238\) | −6.21833 | + | 14.4788i | −0.403074 | + | 0.938524i | ||||
\(239\) | 7.92982 | + | 9.45039i | 0.512937 | + | 0.611295i | 0.958896 | − | 0.283759i | \(-0.0915815\pi\) |
−0.445958 | + | 0.895054i | \(0.647137\pi\) | |||||||
\(240\) | 4.19648 | + | 1.16346i | 0.270882 | + | 0.0751008i | ||||
\(241\) | −12.1191 | − | 2.13693i | −0.780661 | − | 0.137652i | −0.230904 | − | 0.972976i | \(-0.574168\pi\) |
−0.549757 | + | 0.835325i | \(0.685279\pi\) | |||||||
\(242\) | −16.8729 | − | 9.74158i | −1.08463 | − | 0.626212i | ||||
\(243\) | 14.8687 | + | 4.68207i | 0.953827 | + | 0.300355i | ||||
\(244\) | 5.43468i | 0.347920i | ||||||||
\(245\) | −4.99409 | + | 16.8762i | −0.319061 | + | 1.07818i | ||||
\(246\) | 3.74788 | + | 3.81331i | 0.238956 | + | 0.243128i | ||||
\(247\) | −2.28254 | − | 0.830778i | −0.145235 | − | 0.0528611i | ||||
\(248\) | −2.66290 | − | 0.969217i | −0.169094 | − | 0.0615454i | ||||
\(249\) | −6.70212 | − | 9.75011i | −0.424730 | − | 0.617888i | ||||
\(250\) | −9.10842 | − | 1.60606i | −0.576067 | − | 0.101576i | ||||
\(251\) | 0.281911 | − | 0.488285i | 0.0177941 | − | 0.0308202i | −0.856991 | − | 0.515331i | \(-0.827669\pi\) |
0.874785 | + | 0.484511i | \(0.161002\pi\) | |||||||
\(252\) | −6.56210 | − | 4.46529i | −0.413374 | − | 0.281287i | ||||
\(253\) | 5.02951 | + | 8.71136i | 0.316202 | + | 0.547679i | ||||
\(254\) | −5.96663 | − | 16.3932i | −0.374380 | − | 1.02860i | ||||
\(255\) | −21.1163 | − | 15.0598i | −1.32236 | − | 0.943081i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −3.95416 | − | 22.4252i | −0.246654 | − | 1.39884i | −0.816620 | − | 0.577176i | \(-0.804155\pi\) |
0.569966 | − | 0.821668i | \(-0.306956\pi\) | |||||||
\(258\) | 1.81170 | − | 2.54031i | 0.112792 | − | 0.158153i | ||||
\(259\) | 3.83290 | − | 16.2874i | 0.238165 | − | 1.01205i | ||||
\(260\) | 2.34950 | − | 1.35648i | 0.145710 | − | 0.0841255i | ||||
\(261\) | −19.7653 | − | 17.1766i | −1.22344 | − | 1.06321i | ||||
\(262\) | −16.8902 | + | 9.75155i | −1.04348 | + | 0.602453i | ||||
\(263\) | −5.95950 | − | 16.3736i | −0.367479 | − | 1.00964i | −0.976317 | − | 0.216345i | \(-0.930586\pi\) |
0.608838 | − | 0.793294i | \(-0.291636\pi\) | |||||||
\(264\) | 5.41708 | + | 7.88066i | 0.333398 | + | 0.485021i | ||||
\(265\) | 5.25243 | − | 0.926146i | 0.322654 | − | 0.0568927i | ||||
\(266\) | 5.47249 | + | 2.35031i | 0.335540 | + | 0.144107i | ||||
\(267\) | 6.85526 | + | 26.4993i | 0.419535 | + | 1.62173i | ||||
\(268\) | −1.97593 | − | 1.65800i | −0.120699 | − | 0.101279i | ||||
\(269\) | 14.7766 | − | 25.5938i | 0.900946 | − | 1.56048i | 0.0746770 | − | 0.997208i | \(-0.476207\pi\) |
0.826269 | − | 0.563276i | \(-0.190459\pi\) | |||||||
\(270\) | 9.47455 | − | 8.99499i | 0.576603 | − | 0.547418i | ||||
\(271\) | 10.8975 | − | 6.29170i | 0.661979 | − | 0.382194i | −0.131052 | − | 0.991376i | \(-0.541835\pi\) |
0.793031 | + | 0.609182i | \(0.208502\pi\) | |||||||
\(272\) | −5.59666 | + | 2.03702i | −0.339348 | + | 0.123512i | ||||
\(273\) | −4.84958 | + | 0.965682i | −0.293510 | + | 0.0584457i | ||||
\(274\) | 12.3383 | − | 10.3530i | 0.745383 | − | 0.625451i | ||||
\(275\) | 4.68945 | + | 5.58867i | 0.282784 | + | 0.337009i | ||||
\(276\) | −0.247819 | − | 3.14588i | −0.0149170 | − | 0.189360i | ||||
\(277\) | −1.48811 | + | 0.541628i | −0.0894120 | + | 0.0325433i | −0.386339 | − | 0.922357i | \(-0.626260\pi\) |
0.296927 | + | 0.954900i | \(0.404038\pi\) | |||||||
\(278\) | 4.85824 | 0.291378 | ||||||||
\(279\) | −6.60605 | + | 5.35108i | −0.395494 | + | 0.320361i | ||||
\(280\) | −5.93973 | + | 2.99486i | −0.354967 | + | 0.178977i | ||||
\(281\) | −25.2166 | − | 4.44638i | −1.50430 | − | 0.265248i | −0.640058 | − | 0.768327i | \(-0.721090\pi\) |
−0.864241 | + | 0.503078i | \(0.832201\pi\) | |||||||
\(282\) | −5.91489 | + | 8.29366i | −0.352226 | + | 0.493880i | ||||
\(283\) | −1.81233 | − | 2.15985i | −0.107732 | − | 0.128390i | 0.709484 | − | 0.704721i | \(-0.248928\pi\) |
−0.817216 | + | 0.576332i | \(0.804484\pi\) | |||||||
\(284\) | 7.45176 | + | 8.88066i | 0.442181 | + | 0.526970i | ||||
\(285\) | −5.69207 | + | 7.98123i | −0.337169 | + | 0.472767i | ||||
\(286\) | 5.86705 | + | 1.03452i | 0.346926 | + | 0.0611725i | ||||
\(287\) | −8.15424 | − | 0.461947i | −0.481330 | − | 0.0272678i | ||||
\(288\) | −0.469739 | − | 2.96300i | −0.0276796 | − | 0.174596i | ||||
\(289\) | 18.4721 | 1.08659 | ||||||||
\(290\) | −20.6224 | + | 7.50592i | −1.21099 | + | 0.440763i | ||||
\(291\) | 1.28066 | + | 16.2571i | 0.0750737 | + | 0.953006i | ||||
\(292\) | −0.277911 | − | 0.331201i | −0.0162635 | − | 0.0193821i | ||||
\(293\) | −14.6651 | + | 12.3054i | −0.856742 | + | 0.718892i | −0.961264 | − | 0.275631i | \(-0.911113\pi\) |
0.104522 | + | 0.994523i | \(0.466669\pi\) | |||||||
\(294\) | 12.0058 | − | 1.69145i | 0.700192 | − | 0.0986475i | ||||
\(295\) | −25.3521 | + | 9.22740i | −1.47605 | + | 0.537240i | ||||
\(296\) | 5.47695 | − | 3.16212i | 0.318341 | − | 0.183794i | ||||
\(297\) | 28.6349 | − | 1.75772i | 1.66156 | − | 0.101993i | ||||
\(298\) | −4.48650 | + | 7.77084i | −0.259896 | + | 0.450153i | ||||
\(299\) | −1.50598 | − | 1.26366i | −0.0870929 | − | 0.0730796i | ||||
\(300\) | −0.573203 | − | 2.21574i | −0.0330939 | − | 0.127926i | ||||
\(301\) | 0.560826 | + | 4.73302i | 0.0323255 | + | 0.272807i | ||||
\(302\) | −13.5939 | + | 2.39697i | −0.782241 | + | 0.137930i | ||||
\(303\) | −6.68750 | − | 9.72884i | −0.384187 | − | 0.558907i | ||||
\(304\) | 0.769921 | + | 2.11534i | 0.0441580 | + | 0.121323i | ||||
\(305\) | 11.8334 | − | 6.83203i | 0.677580 | − | 0.391201i | ||||
\(306\) | −3.40671 | + | 17.5398i | −0.194749 | + | 1.00268i | ||||
\(307\) | 11.5754 | − | 6.68305i | 0.660642 | − | 0.381422i | −0.131880 | − | 0.991266i | \(-0.542101\pi\) |
0.792521 | + | 0.609844i | \(0.208768\pi\) | |||||||
\(308\) | −14.2192 | − | 3.34618i | −0.810213 | − | 0.190666i | ||||
\(309\) | −7.80146 | + | 10.9390i | −0.443810 | + | 0.622295i | ||||
\(310\) | 1.23722 | + | 7.01660i | 0.0702691 | + | 0.398516i | ||||
\(311\) | 6.03746 | − | 5.06603i | 0.342353 | − | 0.287268i | −0.455358 | − | 0.890309i | \(-0.650489\pi\) |
0.797711 | + | 0.603040i | \(0.206044\pi\) | |||||||
\(312\) | −1.52163 | − | 1.08520i | −0.0861452 | − | 0.0614372i | ||||
\(313\) | −10.4824 | − | 28.8003i | −0.592502 | − | 1.62789i | −0.765845 | − | 0.643025i | \(-0.777679\pi\) |
0.173343 | − | 0.984862i | \(-0.444543\pi\) | |||||||
\(314\) | 0.874215 | + | 1.51418i | 0.0493348 | + | 0.0854504i | ||||
\(315\) | −1.47335 | + | 19.9016i | −0.0830139 | + | 1.12133i | ||||
\(316\) | −7.05034 | + | 12.2115i | −0.396612 | + | 0.686953i | ||||
\(317\) | 2.93349 | + | 0.517253i | 0.164761 | + | 0.0290518i | 0.255420 | − | 0.966830i | \(-0.417786\pi\) |
−0.0906589 | + | 0.995882i | \(0.528897\pi\) | |||||||
\(318\) | −2.08132 | − | 3.02786i | −0.116715 | − | 0.169794i | ||||
\(319\) | −45.2859 | − | 16.4827i | −2.53552 | − | 0.922854i | ||||
\(320\) | −2.36261 | − | 0.859919i | −0.132074 | − | 0.0480709i | ||||
\(321\) | −21.8348 | − | 22.2159i | −1.21870 | − | 1.23997i | ||||
\(322\) | 3.51141 | + | 3.30232i | 0.195683 | + | 0.184031i | ||||
\(323\) | − | 13.4072i | − | 0.745996i | ||||||
\(324\) | −8.34565 | − | 3.36900i | −0.463647 | − | 0.187167i | ||||
\(325\) | −1.23479 | − | 0.712907i | −0.0684939 | − | 0.0395450i | ||||
\(326\) | 23.9294 | + | 4.21940i | 1.32533 | + | 0.233691i | ||||
\(327\) | 12.0467 | + | 3.33990i | 0.666186 | + | 0.184697i | ||||
\(328\) | −1.98426 | − | 2.36475i | −0.109562 | − | 0.130571i | ||||
\(329\) | −1.83100 | − | 15.4525i | −0.100946 | − | 0.851922i | ||||
\(330\) | 10.3494 | − | 21.7020i | 0.569714 | − | 1.19466i | ||||
\(331\) | 0.0997327 | − | 0.565612i | 0.00548180 | − | 0.0310889i | −0.981944 | − | 0.189171i | \(-0.939420\pi\) |
0.987426 | + | 0.158082i | \(0.0505311\pi\) | |||||||
\(332\) | 3.41544 | + | 5.91572i | 0.187447 | + | 0.324667i | ||||
\(333\) | 0.328330 | − | 18.9699i | 0.0179924 | − | 1.03954i | ||||
\(334\) | 12.0065 | + | 6.93193i | 0.656964 | + | 0.379298i | ||||
\(335\) | −1.12614 | + | 6.38667i | −0.0615277 | + | 0.348941i | ||||
\(336\) | 3.57447 | + | 2.86760i | 0.195003 | + | 0.156441i | ||||
\(337\) | 31.2126 | + | 11.3605i | 1.70026 | + | 0.618844i | 0.995855 | − | 0.0909532i | \(-0.0289914\pi\) |
0.704406 | + | 0.709798i | \(0.251214\pi\) | |||||||
\(338\) | 11.6559 | − | 2.05524i | 0.633995 | − | 0.111790i | ||||
\(339\) | 0.992272 | + | 2.17692i | 0.0538928 | + | 0.118234i | ||||
\(340\) | 11.4710 | + | 9.62535i | 0.622105 | + | 0.522008i | ||||
\(341\) | −7.82293 | + | 13.5497i | −0.423635 | + | 0.733758i | ||||
\(342\) | 6.62941 | + | 1.28761i | 0.358477 | + | 0.0696262i | ||||
\(343\) | −11.8369 | + | 14.2439i | −0.639133 | + | 0.769096i | ||||
\(344\) | −1.15793 | + | 1.37997i | −0.0624317 | + | 0.0744032i | ||||
\(345\) | −6.53828 | + | 4.49434i | −0.352009 | + | 0.241967i | ||||
\(346\) | 7.67002 | − | 21.0732i | 0.412343 | − | 1.13290i | ||||
\(347\) | 11.2765 | − | 1.98835i | 0.605353 | − | 0.106740i | 0.137433 | − | 0.990511i | \(-0.456115\pi\) |
0.467920 | + | 0.883771i | \(0.345004\pi\) | |||||||
\(348\) | 10.5975 | + | 10.7825i | 0.568083 | + | 0.578001i | ||||
\(349\) | 1.37121 | + | 3.76738i | 0.0733994 | + | 0.201663i | 0.970967 | − | 0.239214i | \(-0.0768897\pi\) |
−0.897567 | + | 0.440877i | \(0.854667\pi\) | |||||||
\(350\) | 2.92392 | + | 1.91645i | 0.156290 | + | 0.102439i | ||||
\(351\) | −5.14134 | + | 2.23687i | −0.274425 | + | 0.119395i | ||||
\(352\) | −2.76058 | − | 4.78146i | −0.147139 | − | 0.254853i | ||||
\(353\) | −2.44462 | + | 13.8642i | −0.130114 | + | 0.737914i | 0.848024 | + | 0.529958i | \(0.177792\pi\) |
−0.978138 | + | 0.207956i | \(0.933319\pi\) | |||||||
\(354\) | 13.0280 | + | 13.2554i | 0.692429 | + | 0.704517i | ||||
\(355\) | 9.96893 | − | 27.3894i | 0.529096 | − | 1.45368i | ||||
\(356\) | −2.74417 | − | 15.5629i | −0.145441 | − | 0.824835i | ||||
\(357\) | −14.1637 | − | 23.3303i | −0.749625 | − | 1.23477i | ||||
\(358\) | −2.89357 | − | 2.42799i | −0.152930 | − | 0.128323i | ||||
\(359\) | − | 28.7311i | − | 1.51637i | −0.652041 | − | 0.758184i | \(-0.726087\pi\) | ||
0.652041 | − | 0.758184i | \(-0.273913\pi\) | |||||||
\(360\) | −5.86108 | + | 4.74764i | −0.308906 | + | 0.250222i | ||||
\(361\) | 13.9326 | 0.733292 | ||||||||
\(362\) | 18.5173 | − | 6.73975i | 0.973248 | − | 0.354233i | ||||
\(363\) | 30.7064 | − | 13.9964i | 1.61167 | − | 0.734622i | ||||
\(364\) | 2.83505 | − | 0.335931i | 0.148597 | − | 0.0176076i | ||||
\(365\) | −0.371788 | + | 1.02148i | −0.0194603 | + | 0.0534666i | ||||
\(366\) | −7.66379 | − | 5.46568i | −0.400593 | − | 0.285696i | ||||
\(367\) | 2.57350 | − | 3.06698i | 0.134336 | − | 0.160095i | −0.694683 | − | 0.719316i | \(-0.744455\pi\) |
0.829018 | + | 0.559221i | \(0.188900\pi\) | |||||||
\(368\) | 1.82190i | 0.0949733i | ||||||||
\(369\) | −9.14664 | + | 1.45006i | −0.476155 | + | 0.0754873i | ||||
\(370\) | −13.7703 | − | 7.95030i | −0.715885 | − | 0.413317i | ||||
\(371\) | 5.46321 | + | 1.28565i | 0.283636 | + | 0.0667477i | ||||
\(372\) | 4.04484 | − | 2.78038i | 0.209715 | − | 0.144156i | ||||
\(373\) | 13.0328 | − | 10.9359i | 0.674815 | − | 0.566237i | −0.239671 | − | 0.970854i | \(-0.577040\pi\) |
0.914486 | + | 0.404617i | \(0.132595\pi\) | |||||||
\(374\) | 5.71010 | + | 32.3836i | 0.295262 | + | 1.67452i | ||||
\(375\) | 11.4252 | − | 11.2291i | 0.589994 | − | 0.579870i | ||||
\(376\) | 3.78045 | − | 4.50537i | 0.194962 | − | 0.232347i | ||||
\(377\) | 9.41858 | 0.485082 | ||||||||
\(378\) | 12.8963 | − | 4.76288i | 0.663315 | − | 0.244976i | ||||
\(379\) | 28.7632 | 1.47747 | 0.738733 | − | 0.673998i | \(-0.235424\pi\) | ||||
0.738733 | + | 0.673998i | \(0.235424\pi\) | |||||||
\(380\) | 3.63804 | − | 4.33565i | 0.186628 | − | 0.222414i | ||||
\(381\) | 29.1177 | + | 8.07276i | 1.49175 | + | 0.413580i | ||||
\(382\) | −0.593401 | − | 3.36535i | −0.0303611 | − | 0.172186i | ||||
\(383\) | −2.44842 | + | 2.05447i | −0.125109 | + | 0.104979i | −0.703195 | − | 0.710997i | \(-0.748244\pi\) |
0.578087 | + | 0.815975i | \(0.303800\pi\) | |||||||
\(384\) | 0.136022 | + | 1.72670i | 0.00694135 | + | 0.0881154i | ||||
\(385\) | 10.5892 | + | 35.1673i | 0.539677 | + | 1.79229i | ||||
\(386\) | 11.6981 | + | 6.75391i | 0.595418 | + | 0.343765i | ||||
\(387\) | 1.76021 | + | 5.10959i | 0.0894767 | + | 0.259735i | ||||
\(388\) | − | 9.41510i | − | 0.477979i | ||||||
\(389\) | −5.19527 | + | 6.19149i | −0.263411 | + | 0.313921i | −0.881497 | − | 0.472189i | \(-0.843464\pi\) |
0.618086 | + | 0.786110i | \(0.287908\pi\) | |||||||
\(390\) | −0.450035 | + | 4.67739i | −0.0227884 | + | 0.236849i | ||||
\(391\) | 3.71125 | − | 10.1966i | 0.187686 | − | 0.515663i | ||||
\(392\) | −6.98683 | + | 0.429193i | −0.352888 | + | 0.0216775i | ||||
\(393\) | 3.23523 | − | 33.6251i | 0.163196 | − | 1.69616i | ||||
\(394\) | 4.73724 | − | 1.72421i | 0.238659 | − | 0.0868647i | ||||
\(395\) | 35.4524 | 1.78380 | ||||||||
\(396\) | −16.5610 | − | 0.286637i | −0.832221 | − | 0.0144040i | ||||
\(397\) | − | 1.78165i | − | 0.0894184i | −0.999000 | − | 0.0447092i | \(-0.985764\pi\) | ||
0.999000 | − | 0.0447092i | \(-0.0142361\pi\) | |||||||
\(398\) | −1.24912 | − | 1.04814i | −0.0626128 | − | 0.0525383i | ||||
\(399\) | −8.81802 | + | 5.35339i | −0.441453 | + | 0.268005i | ||||
\(400\) | 0.229454 | + | 1.30130i | 0.0114727 | + | 0.0650648i | ||||
\(401\) | 0.285143 | − | 0.783424i | 0.0142394 | − | 0.0391223i | −0.932369 | − | 0.361507i | \(-0.882262\pi\) |
0.946609 | + | 0.322385i | \(0.104485\pi\) | |||||||
\(402\) | 4.32525 | − | 1.11893i | 0.215724 | − | 0.0558069i | ||||
\(403\) | 0.530980 | − | 3.01134i | 0.0264500 | − | 0.150005i | ||||
\(404\) | 3.40799 | + | 5.90282i | 0.169554 | + | 0.293676i | ||||
\(405\) | 3.15581 | + | 22.4070i | 0.156814 | + | 1.11341i | ||||
\(406\) | −23.0569 | − | 1.30619i | −1.14429 | − | 0.0648254i | ||||
\(407\) | −11.9423 | − | 32.8113i | −0.591960 | − | 1.62640i | ||||
\(408\) | 2.75605 | − | 9.94085i | 0.136445 | − | 0.492145i | ||||
\(409\) | −20.5179 | + | 3.61787i | −1.01455 | + | 0.178892i | −0.656113 | − | 0.754663i | \(-0.727800\pi\) |
−0.358434 | + | 0.933555i | \(0.616689\pi\) | |||||||
\(410\) | −2.65453 | + | 7.29326i | −0.131098 | + | 0.360189i | ||||
\(411\) | 2.19084 | + | 27.8111i | 0.108066 | + | 1.37182i | ||||
\(412\) | 4.98625 | − | 5.94238i | 0.245655 | − | 0.292760i | ||||
\(413\) | −28.3449 | − | 1.60577i | −1.39476 | − | 0.0790147i | ||||
\(414\) | 4.68544 | + | 2.81436i | 0.230277 | + | 0.138318i | ||||
\(415\) | 8.58722 | − | 14.8735i | 0.421530 | − | 0.730112i | ||||
\(416\) | 0.826595 | + | 0.693595i | 0.0405271 | + | 0.0340063i | ||||
\(417\) | −4.88595 | + | 6.85091i | −0.239266 | + | 0.335491i | ||||
\(418\) | 12.2398 | − | 2.15822i | 0.598670 | − | 0.105562i | ||||
\(419\) | −8.07619 | − | 2.93949i | −0.394548 | − | 0.143604i | 0.137125 | − | 0.990554i | \(-0.456214\pi\) |
−0.531672 | + | 0.846950i | \(0.678436\pi\) | |||||||
\(420\) | 1.75037 | − | 11.3879i | 0.0854092 | − | 0.555674i | ||||
\(421\) | −1.36643 | + | 7.74943i | −0.0665959 | + | 0.377684i | 0.933234 | + | 0.359268i | \(0.116974\pi\) |
−0.999830 | + | 0.0184164i | \(0.994138\pi\) | |||||||
\(422\) | 22.8145 | + | 13.1720i | 1.11059 | + | 0.641202i | ||||
\(423\) | −5.74679 | − | 16.6819i | −0.279418 | − | 0.811102i | ||||
\(424\) | 1.06065 | + | 1.83711i | 0.0515099 | + | 0.0892177i | ||||
\(425\) | 1.36659 | − | 7.75032i | 0.0662893 | − | 0.375946i | ||||
\(426\) | −20.0174 | + | 1.57689i | −0.969849 | + | 0.0764005i | ||||
\(427\) | 14.2789 | − | 1.69194i | 0.691006 | − | 0.0818789i | ||||
\(428\) | 11.5601 | + | 13.7768i | 0.558778 | + | 0.665925i | ||||
\(429\) | −7.35936 | + | 7.23309i | −0.355313 | + | 0.349217i | ||||
\(430\) | 4.46040 | + | 0.786489i | 0.215100 | + | 0.0379279i | ||||
\(431\) | −28.3233 | − | 16.3525i | −1.36429 | − | 0.787671i | −0.374095 | − | 0.927390i | \(-0.622047\pi\) |
−0.990191 | + | 0.139720i | \(0.955380\pi\) | |||||||
\(432\) | 4.65073 | + | 2.31749i | 0.223758 | + | 0.111500i | ||||
\(433\) | 0.976793i | 0.0469417i | 0.999725 | + | 0.0234708i | \(0.00747169\pi\) | ||||
−0.999725 | + | 0.0234708i | \(0.992528\pi\) | |||||||
\(434\) | −1.71747 | + | 7.29817i | −0.0824412 | + | 0.350323i | ||||
\(435\) | 10.1554 | − | 36.6296i | 0.486914 | − | 1.75626i | ||||
\(436\) | −6.78227 | − | 2.46854i | −0.324812 | − | 0.118222i | ||||
\(437\) | −3.85395 | − | 1.40272i | −0.184359 | − | 0.0671013i | ||||
\(438\) | 0.746543 | − | 0.0588095i | 0.0356712 | − | 0.00281003i | ||||
\(439\) | 21.9661 | + | 3.87322i | 1.04839 | + | 0.184859i | 0.671198 | − | 0.741278i | \(-0.265780\pi\) |
0.377188 | + | 0.926137i | \(0.376891\pi\) | |||||||
\(440\) | −6.94074 | + | 12.0217i | −0.330887 | + | 0.573113i | ||||
\(441\) | −9.68904 | + | 18.6312i | −0.461383 | + | 0.887201i | ||||
\(442\) | −3.21331 | − | 5.56561i | −0.152841 | − | 0.264729i | ||||
\(443\) | −5.48324 | − | 15.0651i | −0.260517 | − | 0.715764i | −0.999133 | − | 0.0416374i | \(-0.986743\pi\) |
0.738616 | − | 0.674126i | \(-0.235480\pi\) | |||||||
\(444\) | −1.04908 | + | 10.9035i | −0.0497873 | + | 0.517459i | ||||
\(445\) | −30.4369 | + | 25.5396i | −1.44285 | + | 1.21069i | ||||
\(446\) | 0.881400 | + | 4.99867i | 0.0417355 | + | 0.236694i | ||||
\(447\) | −6.44607 | − | 14.1419i | −0.304889 | − | 0.668887i | ||||
\(448\) | −1.92733 | − | 1.81257i | −0.0910577 | − | 0.0856358i | ||||
\(449\) | −24.1717 | + | 13.9556i | −1.14073 | + | 0.658603i | −0.946612 | − | 0.322374i | \(-0.895519\pi\) |
−0.194122 | + | 0.980977i | \(0.562186\pi\) | |||||||
\(450\) | 3.70102 | + | 1.42007i | 0.174468 | + | 0.0669425i | ||||
\(451\) | −14.7602 | + | 8.52178i | −0.695029 | + | 0.401275i | ||||
\(452\) | −0.472416 | − | 1.29795i | −0.0222206 | − | 0.0610506i | ||||
\(453\) | 10.2913 | − | 21.5803i | 0.483528 | − | 1.01393i | ||||
\(454\) | 24.9619 | − | 4.40145i | 1.17152 | − | 0.206570i | ||||
\(455\) | −4.29544 | − | 5.75070i | −0.201373 | − | 0.269597i | ||||
\(456\) | −3.75729 | − | 1.04169i | −0.175951 | − | 0.0487816i | ||||
\(457\) | 2.65879 | + | 2.23099i | 0.124373 | + | 0.104361i | 0.702853 | − | 0.711335i | \(-0.251909\pi\) |
−0.578480 | + | 0.815697i | \(0.696354\pi\) | |||||||
\(458\) | −12.1595 | + | 21.0609i | −0.568176 | + | 0.984110i | ||||
\(459\) | −21.3078 | − | 22.4438i | −0.994563 | − | 1.04759i | ||||
\(460\) | 3.96700 | − | 2.29035i | 0.184962 | − | 0.106788i | ||||
\(461\) | 32.5099 | − | 11.8326i | 1.51414 | − | 0.551101i | 0.554461 | − | 0.832209i | \(-0.312924\pi\) |
0.959676 | + | 0.281108i | \(0.0907021\pi\) | |||||||
\(462\) | 19.0189 | − | 16.6861i | 0.884841 | − | 0.776308i | ||||
\(463\) | 3.16948 | − | 2.65951i | 0.147298 | − | 0.123598i | −0.566161 | − | 0.824295i | \(-0.691572\pi\) |
0.713459 | + | 0.700697i | \(0.247127\pi\) | |||||||
\(464\) | −5.61066 | − | 6.68653i | −0.260469 | − | 0.310414i | ||||
\(465\) | −11.1388 | − | 5.31194i | −0.516550 | − | 0.246335i | ||||
\(466\) | −1.77910 | + | 0.647538i | −0.0824151 | + | 0.0299966i | ||||
\(467\) | 9.37807 | 0.433966 | 0.216983 | − | 0.976175i | \(-0.430378\pi\) | ||||
0.216983 | + | 0.976175i | \(0.430378\pi\) | |||||||
\(468\) | 3.06061 | − | 1.05436i | 0.141477 | − | 0.0487376i | ||||
\(469\) | −3.74103 | + | 5.70767i | −0.172745 | + | 0.263556i | ||||
\(470\) | −14.5624 | − | 2.56775i | −0.671714 | − | 0.118441i | ||||
\(471\) | −3.01445 | − | 0.290035i | −0.138898 | − | 0.0133641i | ||||
\(472\) | −6.89746 | − | 8.22008i | −0.317481 | − | 0.378360i | ||||
\(473\) | 6.39314 | + | 7.61905i | 0.293957 | + | 0.350324i | ||||
\(474\) | −10.1297 | − | 22.2233i | −0.465273 | − | 1.02075i | ||||
\(475\) | −2.92934 | − | 0.516522i | −0.134408 | − | 0.0236997i | ||||
\(476\) | 7.09438 | + | 14.0703i | 0.325170 | + | 0.644913i | ||||
\(477\) | 6.36297 | + | 0.110130i | 0.291340 | + | 0.00504251i | ||||
\(478\) | 12.3366 | 0.564263 | ||||||||
\(479\) | −10.7991 | + | 3.93054i | −0.493421 | + | 0.179591i | −0.576733 | − | 0.816933i | \(-0.695673\pi\) |
0.0833113 | + | 0.996524i | \(0.473450\pi\) | |||||||
\(480\) | 3.58871 | − | 2.46684i | 0.163801 | − | 0.112595i | ||||
\(481\) | 4.38646 | + | 5.22758i | 0.200005 | + | 0.238357i | ||||
\(482\) | −9.42700 | + | 7.91019i | −0.429388 | + | 0.360299i | ||||
\(483\) | −8.18825 | + | 1.63050i | −0.372578 | + | 0.0741903i | ||||
\(484\) | −18.3082 | + | 6.66363i | −0.832190 | + | 0.302892i | ||||
\(485\) | −20.5004 | + | 11.8359i | −0.930873 | + | 0.537440i | ||||
\(486\) | 13.1441 | − | 8.38050i | 0.596228 | − | 0.380147i | ||||
\(487\) | −13.7343 | + | 23.7885i | −0.622360 | + | 1.07796i | 0.366685 | + | 0.930345i | \(0.380493\pi\) |
−0.989045 | + | 0.147614i | \(0.952841\pi\) | |||||||
\(488\) | 4.16321 | + | 3.49335i | 0.188460 | + | 0.158136i | ||||
\(489\) | −30.0160 | + | 29.5009i | −1.35737 | + | 1.33408i | ||||
\(490\) | 9.71778 | + | 14.6735i | 0.439005 | + | 0.662882i | ||||
\(491\) | −12.3433 | + | 2.17646i | −0.557047 | + | 0.0982224i | −0.445082 | − | 0.895490i | \(-0.646825\pi\) |
−0.111965 | + | 0.993712i | \(0.535714\pi\) | |||||||
\(492\) | 5.33025 | − | 0.419894i | 0.240306 | − | 0.0189303i | ||||
\(493\) | 17.7804 | + | 48.8513i | 0.800790 | + | 2.20015i | ||||
\(494\) | −2.10360 | + | 1.21452i | −0.0946456 | + | 0.0546437i | ||||
\(495\) | 20.1950 | + | 36.4201i | 0.907697 | + | 1.63696i | ||||
\(496\) | −2.45414 | + | 1.41690i | −0.110194 | + | 0.0636207i | ||||
\(497\) | 21.0129 | − | 22.3433i | 0.942557 | − | 1.00223i | ||||
\(498\) | −11.7771 | − | 1.13313i | −0.527743 | − | 0.0507767i | ||||
\(499\) | −7.48229 | − | 42.4342i | −0.334953 | − | 1.89962i | −0.427691 | − | 0.903925i | \(-0.640673\pi\) |
0.0927373 | − | 0.995691i | \(-0.470438\pi\) | |||||||
\(500\) | −7.08509 | + | 5.94510i | −0.316855 | + | 0.265873i | ||||
\(501\) | −21.8501 | + | 9.95960i | −0.976190 | + | 0.444962i | ||||
\(502\) | −0.192839 | − | 0.529820i | −0.00860681 | − | 0.0236470i | ||||
\(503\) | 8.76699 | + | 15.1849i | 0.390901 | + | 0.677060i | 0.992569 | − | 0.121686i | \(-0.0388302\pi\) |
−0.601668 | + | 0.798747i | \(0.705497\pi\) | |||||||
\(504\) | −7.63865 | + | 2.15663i | −0.340252 | + | 0.0960639i | ||||
\(505\) | 8.56849 | − | 14.8411i | 0.381293 | − | 0.660418i | ||||
\(506\) | 9.90619 | + | 1.74673i | 0.440384 | + | 0.0776516i | ||||
\(507\) | −8.82411 | + | 18.5036i | −0.391892 | + | 0.821775i | ||||
\(508\) | −16.3932 | − | 5.96663i | −0.727330 | − | 0.264726i | ||||
\(509\) | 21.0807 | + | 7.67273i | 0.934384 | + | 0.340088i | 0.763946 | − | 0.645281i | \(-0.223260\pi\) |
0.170438 | + | 0.985368i | \(0.445482\pi\) | |||||||
\(510\) | −25.1098 | + | 6.49580i | −1.11188 | + | 0.287639i | ||||
\(511\) | −0.783668 | + | 0.833285i | −0.0346674 | + | 0.0368624i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −8.48297 | + | 8.05359i | −0.374532 | + | 0.355575i | ||||
\(514\) | −19.7204 | − | 11.3856i | −0.869828 | − | 0.502195i | ||||
\(515\) | −19.2072 | − | 3.38674i | −0.846369 | − | 0.149238i | ||||
\(516\) | −0.781449 | − | 3.02072i | −0.0344014 | − | 0.132980i | ||||
\(517\) | −20.8725 | − | 24.8749i | −0.917971 | − | 1.09399i | ||||
\(518\) | −10.0132 | − | 13.4055i | −0.439953 | − | 0.589005i | ||||
\(519\) | 22.0029 | + | 32.0094i | 0.965820 | + | 1.40506i | ||||
\(520\) | 0.471102 | − | 2.67175i | 0.0206592 | − | 0.117164i | ||||
\(521\) | −15.6395 | − | 27.0884i | −0.685179 | − | 1.18676i | −0.973381 | − | 0.229195i | \(-0.926391\pi\) |
0.288202 | − | 0.957570i | \(-0.406943\pi\) | |||||||
\(522\) | −25.8629 | + | 4.10019i | −1.13199 | + | 0.179460i | ||||
\(523\) | 5.01858 | + | 2.89748i | 0.219447 | + | 0.126698i | 0.605694 | − | 0.795697i | \(-0.292895\pi\) |
−0.386247 | + | 0.922395i | \(0.626229\pi\) | |||||||
\(524\) | −3.38668 | + | 19.2068i | −0.147948 | + | 0.839053i | ||||
\(525\) | −5.64311 | + | 2.19583i | −0.246286 | + | 0.0958337i | ||||
\(526\) | −16.3736 | − | 5.95950i | −0.713923 | − | 0.259847i | ||||
\(527\) | 16.6213 | − | 2.93078i | 0.724034 | − | 0.127667i | ||||
\(528\) | 9.51896 | + | 0.915866i | 0.414260 | + | 0.0398579i | ||||
\(529\) | 15.0763 | + | 12.6505i | 0.655490 | + | 0.550021i | ||||
\(530\) | 2.66673 | − | 4.61891i | 0.115835 | − | 0.200633i | ||||
\(531\) | −31.7946 | + | 5.04056i | −1.37977 | + | 0.218742i | ||||
\(532\) | 5.31809 | − | 2.68142i | 0.230568 | − | 0.116254i | ||||
\(533\) | 2.14110 | − | 2.55166i | 0.0927413 | − | 0.110525i | ||||
\(534\) | 24.7061 | + | 11.7820i | 1.06914 | + | 0.509856i | ||||
\(535\) | 15.4650 | − | 42.4898i | 0.668611 | − | 1.83699i | ||||
\(536\) | −2.54021 | + | 0.447907i | −0.109720 | + | 0.0193466i | ||||
\(537\) | 6.33394 | − | 1.63857i | 0.273330 | − | 0.0707093i | ||||
\(538\) | −10.1078 | − | 27.7709i | −0.435778 | − | 1.19729i | ||||
\(539\) | −4.36490 | + | 38.4008i | −0.188010 | + | 1.65404i | ||||
\(540\) | −0.800435 | − | 13.0398i | −0.0344453 | − | 0.561144i | ||||
\(541\) | −10.9704 | − | 19.0013i | −0.471655 | − | 0.816930i | 0.527819 | − | 0.849357i | \(-0.323010\pi\) |
−0.999474 | + | 0.0324265i | \(0.989677\pi\) | |||||||
\(542\) | 2.18509 | − | 12.3922i | 0.0938574 | − | 0.532292i | ||||
\(543\) | −9.11877 | + | 32.8906i | −0.391324 | + | 1.41147i | ||||
\(544\) | −2.03702 | + | 5.59666i | −0.0873365 | + | 0.239955i | ||||
\(545\) | 3.15112 | + | 17.8709i | 0.134979 | + | 0.765505i | ||||
\(546\) | −2.37750 | + | 4.33573i | −0.101747 | + | 0.185552i | ||||
\(547\) | 14.1134 | + | 11.8426i | 0.603446 | + | 0.506352i | 0.892551 | − | 0.450946i | \(-0.148913\pi\) |
−0.289105 | + | 0.957297i | \(0.593358\pi\) | |||||||
\(548\) | − | 16.1065i | − | 0.688035i | ||||||
\(549\) | 15.4150 | − | 5.31035i | 0.657896 | − | 0.226640i | ||||
\(550\) | 7.29549 | 0.311081 | ||||||||
\(551\) | 18.4641 | − | 6.72037i | 0.786595 | − | 0.286297i | ||||
\(552\) | −2.56918 | − | 1.83229i | −0.109352 | − | 0.0779876i | ||||
\(553\) | 34.2792 | + | 14.7221i | 1.45770 | + | 0.626048i | ||||
\(554\) | −0.541628 | + | 1.48811i | −0.0230116 | + | 0.0632238i | ||||
\(555\) | 25.0601 | − | 11.4228i | 1.06374 | − | 0.484870i | ||||
\(556\) | 3.12282 | − | 3.72163i | 0.132437 | − | 0.157832i | ||||
\(557\) | 1.18568i | 0.0502389i | 0.999684 | + | 0.0251194i | \(0.00799660\pi\) | ||||
−0.999684 | + | 0.0251194i | \(0.992003\pi\) | |||||||
\(558\) | −0.147120 | + | 8.50013i | −0.00622808 | + | 0.359839i | ||||
\(559\) | −1.68339 | − | 0.971908i | −0.0712000 | − | 0.0411073i | ||||
\(560\) | −1.52379 | + | 6.47516i | −0.0643919 | + | 0.273625i | ||||
\(561\) | −51.4088 | − | 24.5161i | −2.17048 | − | 1.03507i | ||||
\(562\) | −19.6151 | + | 16.4590i | −0.827412 | + | 0.694281i | ||||
\(563\) | −2.88559 | − | 16.3650i | −0.121613 | − | 0.689702i | −0.983262 | − | 0.182197i | \(-0.941679\pi\) |
0.861649 | − | 0.507505i | \(-0.169432\pi\) | |||||||
\(564\) | 2.55129 | + | 9.86213i | 0.107429 | + | 0.415270i | ||||
\(565\) | −2.23227 | + | 2.66031i | −0.0939122 | + | 0.111920i | ||||
\(566\) | −2.81948 | −0.118512 | ||||||||
\(567\) | −6.25343 | + | 22.9760i | −0.262619 | + | 0.964899i | ||||
\(568\) | 11.5929 | 0.486427 | ||||||||
\(569\) | −14.4079 | + | 17.1707i | −0.604012 | + | 0.719833i | −0.978234 | − | 0.207506i | \(-0.933465\pi\) |
0.374222 | + | 0.927339i | \(0.377910\pi\) | |||||||
\(570\) | 2.45518 | + | 9.49061i | 0.102836 | + | 0.397518i | ||||
\(571\) | −5.46075 | − | 30.9694i | −0.228525 | − | 1.29603i | −0.855830 | − | 0.517257i | \(-0.826953\pi\) |
0.627305 | − | 0.778773i | \(-0.284158\pi\) | |||||||
\(572\) | 4.56376 | − | 3.82945i | 0.190820 | − | 0.160117i | ||||
\(573\) | 5.34247 | + | 2.54775i | 0.223185 | + | 0.106434i | ||||
\(574\) | −5.59532 | + | 5.94958i | −0.233544 | + | 0.248331i | ||||
\(575\) | −2.08488 | − | 1.20370i | −0.0869454 | − | 0.0501979i | ||||
\(576\) | −2.57173 | − | 1.54474i | −0.107155 | − | 0.0643640i | ||||
\(577\) | − | 9.00385i | − | 0.374835i | −0.982280 | − | 0.187418i | \(-0.939988\pi\) | ||
0.982280 | − | 0.187418i | \(-0.0600118\pi\) | |||||||
\(578\) | 11.8736 | − | 14.1505i | 0.493878 | − | 0.588581i | ||||
\(579\) | −21.2889 | + | 9.70382i | −0.884738 | + | 0.403277i | ||||
\(580\) | −7.50592 | + | 20.6224i | −0.311666 | + | 0.856297i | ||||
\(581\) | 14.4795 | − | 10.8153i | 0.600711 | − | 0.448696i | ||||
\(582\) | 13.2768 | + | 9.46880i | 0.550342 | + | 0.392494i | ||||
\(583\) | 11.0057 | − | 4.00576i | 0.455811 | − | 0.165902i | ||||
\(584\) | −0.432352 | −0.0178909 | ||||||||
\(585\) | −6.14329 | − | 5.33869i | −0.253994 | − | 0.220728i | ||||
\(586\) | 19.1439i | 0.790826i | ||||||||
\(587\) | 11.6558 | + | 9.78039i | 0.481087 | + | 0.403680i | 0.850819 | − | 0.525458i | \(-0.176106\pi\) |
−0.369732 | + | 0.929138i | \(0.620551\pi\) | |||||||
\(588\) | 6.42145 | − | 10.2842i | 0.264816 | − | 0.424114i | ||||
\(589\) | −1.10773 | − | 6.28225i | −0.0456432 | − | 0.258856i | ||||
\(590\) | −9.22740 | + | 25.3521i | −0.379886 | + | 1.04373i | ||||
\(591\) | −2.33283 | + | 8.41433i | −0.0959600 | + | 0.346119i | ||||
\(592\) | 1.09819 | − | 6.22816i | 0.0451354 | − | 0.255976i | ||||
\(593\) | 10.0658 | + | 17.4345i | 0.413354 | + | 0.715950i | 0.995254 | − | 0.0973105i | \(-0.0310240\pi\) |
−0.581900 | + | 0.813260i | \(0.697691\pi\) | |||||||
\(594\) | 17.0596 | − | 23.0654i | 0.699966 | − | 0.946386i | ||||
\(595\) | 21.7182 | − | 33.1353i | 0.890358 | − | 1.35841i | ||||
\(596\) | 3.06895 | + | 8.43186i | 0.125709 | + | 0.345382i | ||||
\(597\) | 2.73429 | − | 0.707350i | 0.111907 | − | 0.0289499i | ||||
\(598\) | −1.93605 | + | 0.341377i | −0.0791708 | + | 0.0139599i | ||||
\(599\) | −10.7363 | + | 29.4977i | −0.438673 | + | 1.20524i | 0.501683 | + | 0.865052i | \(0.332714\pi\) |
−0.940356 | + | 0.340192i | \(0.889508\pi\) | |||||||
\(600\) | −2.06580 | − | 0.985150i | −0.0843360 | − | 0.0402186i | ||||
\(601\) | 23.7024 | − | 28.2474i | 0.966841 | − | 1.15224i | −0.0214676 | − | 0.999770i | \(-0.506834\pi\) |
0.988309 | − | 0.152467i | \(-0.0487217\pi\) | |||||||
\(602\) | 3.98619 | + | 2.61271i | 0.162465 | + | 0.106486i | ||||
\(603\) | −2.77205 | + | 7.22462i | −0.112887 | + | 0.294209i | ||||
\(604\) | −6.90180 | + | 11.9543i | −0.280830 | + | 0.486412i | ||||
\(605\) | 37.5248 | + | 31.4871i | 1.52560 | + | 1.28013i | ||||
\(606\) | −11.7514 | − | 1.13066i | −0.477367 | − | 0.0459297i | ||||
\(607\) | 4.91217 | − | 0.866149i | 0.199379 | − | 0.0351559i | −0.0730667 | − | 0.997327i | \(-0.523279\pi\) |
0.272446 | + | 0.962171i | \(0.412167\pi\) | |||||||
\(608\) | 2.11534 | + | 0.769921i | 0.0857884 | + | 0.0312244i | ||||
\(609\) | 25.0303 | − | 31.2003i | 1.01428 | − | 1.26430i | ||||
\(610\) | 2.37274 | − | 13.4565i | 0.0960694 | − | 0.544837i | ||||
\(611\) | 5.49599 | + | 3.17311i | 0.222344 | + | 0.128370i | ||||
\(612\) | 11.2464 | + | 13.8840i | 0.454611 | + | 0.561229i | ||||
\(613\) | 13.8525 | + | 23.9932i | 0.559497 | + | 0.969078i | 0.997538 | + | 0.0701228i | \(0.0223391\pi\) |
−0.438041 | + | 0.898955i | \(0.644328\pi\) | |||||||
\(614\) | 2.32100 | − | 13.1630i | 0.0936679 | − | 0.531217i | ||||
\(615\) | −7.61502 | − | 11.0782i | −0.307067 | − | 0.446715i | ||||
\(616\) | −11.7032 | + | 8.74164i | −0.471537 | + | 0.352211i | ||||
\(617\) | −4.86311 | − | 5.79563i | −0.195782 | − | 0.233323i | 0.659218 | − | 0.751952i | \(-0.270887\pi\) |
−0.855000 | + | 0.518628i | \(0.826443\pi\) | |||||||
\(618\) | 3.36504 | + | 13.0077i | 0.135362 | + | 0.523246i | ||||
\(619\) | 31.3178 | + | 5.52217i | 1.25877 | + | 0.221955i | 0.762942 | − | 0.646467i | \(-0.223754\pi\) |
0.495826 | + | 0.868422i | \(0.334865\pi\) | |||||||
\(620\) | 6.17029 | + | 3.56242i | 0.247805 | + | 0.143070i | ||||
\(621\) | −8.68087 | + | 3.77683i | −0.348351 | + | 0.151559i | ||||
\(622\) | − | 7.88134i | − | 0.316013i | ||||||
\(623\) | −40.0353 | + | 12.0551i | −1.60398 | + | 0.482975i | ||||
\(624\) | −1.80939 | + | 0.468083i | −0.0724337 | + | 0.0187383i | ||||
\(625\) | 28.0600 | + | 10.2130i | 1.12240 | + | 0.408520i | ||||
\(626\) | −28.8003 | − | 10.4824i | −1.15109 | − | 0.418962i | ||||
\(627\) | −9.26622 | + | 19.4307i | −0.370057 | + | 0.775988i | ||||
\(628\) | 1.72187 | + | 0.303612i | 0.0687100 | + | 0.0121154i | ||||
\(629\) | −18.8331 | + | 32.6199i | −0.750924 | + | 1.30064i | ||||
\(630\) | 14.2985 | + | 13.9212i | 0.569666 | + | 0.554633i | ||||
\(631\) | −0.274758 | − | 0.475894i | −0.0109379 | − | 0.0189450i | 0.860505 | − | 0.509443i | \(-0.170148\pi\) |
−0.871443 | + | 0.490498i | \(0.836815\pi\) | |||||||
\(632\) | 4.82271 | + | 13.2503i | 0.191837 | + | 0.527069i | ||||
\(633\) | −41.5193 | + | 18.9251i | −1.65024 | + | 0.752206i | ||||
\(634\) | 2.28185 | − | 1.91470i | 0.0906239 | − | 0.0760424i | ||||
\(635\) | 7.61646 | + | 43.1951i | 0.302250 | + | 1.71415i | ||||
\(636\) | −3.65732 | − | 0.351889i | −0.145022 | − | 0.0139533i | ||||
\(637\) | −1.76523 | − | 7.34413i | −0.0699410 | − | 0.290985i | ||||
\(638\) | −41.7357 | + | 24.0961i | −1.65233 | + | 0.953974i | ||||
\(639\) | 17.9079 | − | 29.8138i | 0.708427 | − | 1.17941i | ||||
\(640\) | −2.17739 | + | 1.25712i | −0.0860689 | + | 0.0496919i | ||||
\(641\) | 0.734682 | + | 2.01852i | 0.0290182 | + | 0.0797268i | 0.953356 | − | 0.301849i | \(-0.0976038\pi\) |
−0.924338 | + | 0.381576i | \(0.875382\pi\) | |||||||
\(642\) | −31.0535 | + | 2.44626i | −1.22558 | + | 0.0965462i | ||||
\(643\) | −26.2152 | + | 4.62245i | −1.03383 | + | 0.182292i | −0.664718 | − | 0.747094i | \(-0.731448\pi\) |
−0.369110 | + | 0.929386i | \(0.620337\pi\) | |||||||
\(644\) | 4.78682 | − | 0.567201i | 0.188627 | − | 0.0223508i | ||||
\(645\) | −5.59492 | + | 5.49892i | −0.220300 | + | 0.216520i | ||||
\(646\) | −10.2705 | − | 8.61798i | −0.404088 | − | 0.339070i | ||||
\(647\) | 7.77791 | − | 13.4717i | 0.305781 | − | 0.529628i | −0.671654 | − | 0.740865i | \(-0.734416\pi\) |
0.977435 | + | 0.211237i | \(0.0677491\pi\) | |||||||
\(648\) | −7.94529 | + | 4.22758i | −0.312120 | + | 0.166075i | ||||
\(649\) | −51.3077 | + | 29.6225i | −2.01400 | + | 1.16279i | ||||
\(650\) | −1.33983 | + | 0.487657i | −0.0525524 | + | 0.0191275i | ||||
\(651\) | −8.56435 | − | 9.76171i | −0.335663 | − | 0.382592i | ||||
\(652\) | 18.6138 | − | 15.6188i | 0.728972 | − | 0.611681i | ||||
\(653\) | 24.8305 | + | 29.5919i | 0.971693 | + | 1.15802i | 0.987416 | + | 0.158142i | \(0.0505505\pi\) |
−0.0157231 | + | 0.999876i | \(0.505005\pi\) | |||||||
\(654\) | 10.3020 | − | 7.08148i | 0.402840 | − | 0.276908i | ||||
\(655\) | 46.0782 | − | 16.7711i | 1.80042 | − | 0.655300i | ||||
\(656\) | −3.08696 | −0.120525 | ||||||||
\(657\) | −0.667870 | + | 1.11189i | −0.0260561 | + | 0.0433791i | ||||
\(658\) | −13.0142 | − | 8.53003i | −0.507347 | − | 0.332535i | ||||
\(659\) | −27.5899 | − | 4.86484i | −1.07475 | − | 0.189507i | −0.391857 | − | 0.920026i | \(-0.628167\pi\) |
−0.682893 | + | 0.730519i | \(0.739278\pi\) | |||||||
\(660\) | −9.97225 | − | 21.8778i | −0.388169 | − | 0.851594i | ||||
\(661\) | 6.99910 | + | 8.34120i | 0.272233 | + | 0.324435i | 0.884789 | − | 0.465993i | \(-0.154303\pi\) |
−0.612555 | + | 0.790428i | \(0.709858\pi\) | |||||||
\(662\) | −0.369177 | − | 0.439968i | −0.0143485 | − | 0.0170998i | ||||
\(663\) | 11.0801 | + | 1.06607i | 0.430314 | + | 0.0414026i | ||||
\(664\) | 6.72711 | + | 1.18617i | 0.261063 | + | 0.0460324i | ||||
\(665\) | −12.5240 | − | 8.20870i | −0.485659 | − | 0.318320i | ||||
\(666\) | −14.3207 | − | 12.4451i | −0.554916 | − | 0.482238i | ||||
\(667\) | 15.9027 | 0.615757 | ||||||||
\(668\) | 13.0278 | − | 4.74172i | 0.504059 | − | 0.183463i | ||||
\(669\) | −7.93536 | − | 3.78426i | −0.306799 | − | 0.146308i | ||||
\(670\) | 4.16860 | + | 4.96795i | 0.161047 | + | 0.191929i | ||||
\(671\) | 22.9857 | − | 19.2873i | 0.887354 | − | 0.744578i | ||||
\(672\) | 4.49434 | − | 0.894943i | 0.173373 | − | 0.0345232i | ||||
\(673\) | −3.26648 | + | 1.18890i | −0.125914 | + | 0.0458288i | −0.404208 | − | 0.914667i | \(-0.632453\pi\) |
0.278295 | + | 0.960496i | \(0.410231\pi\) | |||||||
\(674\) | 28.7657 | − | 16.6079i | 1.10801 | − | 0.639712i | ||||
\(675\) | −5.72466 | + | 3.79088i | −0.220342 | + | 0.145911i | ||||
\(676\) | 5.91783 | − | 10.2500i | 0.227609 | − | 0.394230i | ||||
\(677\) | 7.82878 | + | 6.56912i | 0.300884 | + | 0.252472i | 0.780712 | − | 0.624891i | \(-0.214856\pi\) |
−0.479828 | + | 0.877363i | \(0.659301\pi\) | |||||||
\(678\) | 2.30544 | + | 0.639172i | 0.0885398 | + | 0.0245472i | ||||
\(679\) | −24.7370 | + | 2.93114i | −0.949318 | + | 0.112487i | ||||
\(680\) | 14.7469 | − | 2.60028i | 0.565518 | − | 0.0997160i | ||||
\(681\) | −18.8975 | + | 39.6269i | −0.724153 | + | 1.51850i | ||||
\(682\) | 5.35120 | + | 14.7023i | 0.204908 | + | 0.562980i | ||||
\(683\) | −16.5794 | + | 9.57213i | −0.634394 | + | 0.366267i | −0.782452 | − | 0.622711i | \(-0.786031\pi\) |
0.148058 | + | 0.988979i | \(0.452698\pi\) | |||||||
\(684\) | 5.24767 | − | 4.25076i | 0.200650 | − | 0.162532i | ||||
\(685\) | −35.0701 | + | 20.2477i | −1.33996 | + | 0.773626i | ||||
\(686\) | 3.30281 | + | 18.2234i | 0.126102 | + | 0.695772i | ||||
\(687\) | −17.4704 | − | 38.3279i | −0.666539 | − | 1.46230i | ||||
\(688\) | 0.312815 | + | 1.77406i | 0.0119259 | + | 0.0676354i | ||||
\(689\) | −1.75346 | + | 1.47133i | −0.0668015 | + | 0.0560531i | ||||
\(690\) | −0.759859 | + | 7.89752i | −0.0289273 | + | 0.300653i | ||||
\(691\) | −8.60953 | − | 23.6545i | −0.327522 | − | 0.899859i | −0.988737 | − | 0.149663i | \(-0.952181\pi\) |
0.661215 | − | 0.750196i | \(-0.270041\pi\) | |||||||
\(692\) | −11.2128 | − | 19.4212i | −0.426248 | − | 0.738282i | ||||
\(693\) | 4.40272 | + | 43.6011i | 0.167245 | + | 1.65627i | ||||
\(694\) | 5.72522 | − | 9.91637i | 0.217326 | − | 0.376420i | ||||
\(695\) | −12.0292 | − | 2.12107i | −0.456293 | − | 0.0804567i | ||||
\(696\) | 15.0718 | − | 1.18729i | 0.571294 | − | 0.0450041i | ||||
\(697\) | 17.2767 | + | 6.28819i | 0.654400 | + | 0.238182i | ||||
\(698\) | 3.76738 | + | 1.37121i | 0.142597 | + | 0.0519012i | ||||
\(699\) | 0.876109 | − | 3.16005i | 0.0331375 | − | 0.119524i | ||||
\(700\) | 3.34755 | − | 1.00798i | 0.126526 | − | 0.0380982i | ||||
\(701\) | − | 14.4777i | − | 0.546816i | −0.961898 | − | 0.273408i | \(-0.911849\pi\) | ||
0.961898 | − | 0.273408i | \(-0.0881509\pi\) | |||||||
\(702\) | −1.59125 | + | 5.37633i | −0.0600579 | + | 0.202917i | ||||
\(703\) | 12.3292 | + | 7.11824i | 0.465003 | + | 0.268470i | ||||
\(704\) | −5.43728 | − | 0.958739i | −0.204925 | − | 0.0361338i | ||||
\(705\) | 18.2664 | − | 17.9530i | 0.687953 | − | 0.676149i | ||||
\(706\) | 9.04918 | + | 10.7844i | 0.340571 | + | 0.405876i | ||||
\(707\) | 14.4479 | − | 10.7917i | 0.543369 | − | 0.405865i | ||||
\(708\) | 18.5285 | − | 1.45959i | 0.696342 | − | 0.0548548i | ||||
\(709\) | 2.28251 | − | 12.9448i | 0.0857216 | − | 0.486151i | −0.911477 | − | 0.411351i | \(-0.865057\pi\) |
0.997199 | − | 0.0748001i | \(-0.0238319\pi\) | |||||||
\(710\) | −14.5736 | − | 25.2422i | −0.546938 | − | 0.947324i | ||||
\(711\) | 41.5260 | + | 8.06550i | 1.55735 | + | 0.302480i | ||||
\(712\) | −13.6858 | − | 7.90152i | −0.512898 | − | 0.296122i | ||||
\(713\) | 0.896531 | − | 5.08448i | 0.0335753 | − | 0.190415i | ||||
\(714\) | −26.9763 | − | 4.14636i | −1.00956 | − | 0.155174i | ||||
\(715\) | −14.0754 | − | 5.12302i | −0.526389 | − | 0.191590i | ||||
\(716\) | −3.71990 | + | 0.655919i | −0.139019 | + | 0.0245128i | ||||
\(717\) | −12.4070 | + | 17.3966i | −0.463347 | + | 0.649689i | ||||
\(718\) | −22.0093 | − | 18.4680i | −0.821379 | − | 0.689219i | ||||
\(719\) | −14.3697 | + | 24.8890i | −0.535898 | + | 0.928202i | 0.463222 | + | 0.886242i | \(0.346693\pi\) |
−0.999119 | + | 0.0419594i | \(0.986640\pi\) | |||||||
\(720\) | −0.130529 | + | 7.54157i | −0.00486454 | + | 0.281058i | ||||
\(721\) | −17.1652 | − | 11.2507i | −0.639264 | − | 0.418999i | ||||
\(722\) | 8.95567 | − | 10.6730i | 0.333296 | − | 0.397206i | ||||
\(723\) | −1.67390 | − | 21.2489i | −0.0622529 | − | 0.790255i | ||||
\(724\) | 6.73975 | − | 18.5173i | 0.250481 | − | 0.688190i | ||||
\(725\) | 11.3585 | − | 2.00282i | 0.421846 | − | 0.0743828i | ||||
\(726\) | 9.01579 | − | 32.5192i | 0.334607 | − | 1.20690i | ||||
\(727\) | −4.22763 | − | 11.6153i | −0.156794 | − | 0.430789i | 0.836276 | − | 0.548308i | \(-0.184728\pi\) |
−0.993071 | + | 0.117520i | \(0.962506\pi\) | |||||||
\(728\) | 1.56499 | − | 2.38770i | 0.0580025 | − | 0.0884942i | ||||
\(729\) | −1.40118 | + | 26.9636i | −0.0518954 | + | 0.998653i | ||||
\(730\) | 0.543517 | + | 0.941400i | 0.0201165 | + | 0.0348428i | ||||
\(731\) | 1.86308 | − | 10.5660i | 0.0689083 | − | 0.390799i | ||||
\(732\) | −9.11314 | + | 2.35753i | −0.336831 | + | 0.0871370i | ||||
\(733\) | −0.871846 | + | 2.39538i | −0.0322024 | + | 0.0884753i | −0.954752 | − | 0.297403i | \(-0.903879\pi\) |
0.922550 | + | 0.385879i | \(0.126102\pi\) | |||||||
\(734\) | −0.695227 | − | 3.94283i | −0.0256613 | − | 0.145532i | ||||
\(735\) | −30.4653 | − | 1.05354i | −1.12373 | − | 0.0388603i | ||||
\(736\) | 1.39566 | + | 1.17110i | 0.0514447 | + | 0.0431672i | ||||
\(737\) | 14.2412i | 0.524582i | ||||||||
\(738\) | −4.76853 | + | 7.93882i | −0.175532 | + | 0.292232i | ||||
\(739\) | 17.7262 | 0.652069 | 0.326034 | − | 0.945358i | \(-0.394287\pi\) | ||||
0.326034 | + | 0.945358i | \(0.394287\pi\) | |||||||
\(740\) | −14.9417 | + | 5.43833i | −0.549267 | + | 0.199917i | ||||
\(741\) | 0.402935 | − | 4.18787i | 0.0148022 | − | 0.153845i | ||||
\(742\) | 4.49655 | − | 3.35866i | 0.165074 | − | 0.123300i | ||||
\(743\) | −12.0106 | + | 32.9989i | −0.440627 | + | 1.21061i | 0.498453 | + | 0.866917i | \(0.333902\pi\) |
−0.939081 | + | 0.343697i | \(0.888321\pi\) | |||||||
\(744\) | 0.470079 | − | 4.88573i | 0.0172339 | − | 0.179119i | ||||
\(745\) | 14.5014 | − | 17.2821i | 0.531291 | − | 0.633168i | ||||
\(746\) | − | 17.0132i | − | 0.622896i | ||||||
\(747\) | 13.4421 | − | 15.4680i | 0.491822 | − | 0.565944i | ||||
\(748\) | 28.4776 | + | 16.4416i | 1.04125 | + | 0.601164i | ||||
\(749\) | 32.5978 | − | 34.6616i | 1.19110 | − | 1.26651i | ||||
\(750\) | −1.25806 | − | 15.9701i | −0.0459378 | − | 0.583147i | ||||
\(751\) | −12.5109 | + | 10.4979i | −0.456530 | + | 0.383074i | −0.841852 | − | 0.539708i | \(-0.818535\pi\) |
0.385322 | + | 0.922782i | \(0.374090\pi\) | |||||||
\(752\) | −1.02128 | − | 5.79199i | −0.0372424 | − | 0.211212i | ||||
\(753\) | 0.941071 | + | 0.260908i | 0.0342945 | + | 0.00950800i | ||||
\(754\) | 6.05415 | − | 7.21505i | 0.220479 | − | 0.262757i | ||||
\(755\) | 34.7055 | 1.26306 | ||||||||
\(756\) | 4.64102 | − | 12.9407i | 0.168792 | − | 0.470648i | ||||
\(757\) | −2.55127 | −0.0927273 | −0.0463637 | − | 0.998925i | \(-0.514763\pi\) | ||||
−0.0463637 | + | 0.998925i | \(0.514763\pi\) | |||||||
\(758\) | 18.4886 | − | 22.0339i | 0.671537 | − | 0.800307i | ||||
\(759\) | −12.4259 | + | 12.2127i | −0.451030 | + | 0.443292i | ||||
\(760\) | −0.982812 | − | 5.57380i | −0.0356503 | − | 0.202183i | ||||
\(761\) | 20.2148 | − | 16.9622i | 0.732786 | − | 0.614881i | −0.198104 | − | 0.980181i | \(-0.563478\pi\) |
0.930890 | + | 0.365301i | \(0.119034\pi\) | |||||||
\(762\) | 24.9006 | − | 17.1164i | 0.902054 | − | 0.620062i | ||||
\(763\) | −4.37430 | + | 18.5881i | −0.158360 | + | 0.672933i | ||||
\(764\) | −2.95944 | − | 1.70863i | −0.107069 | − | 0.0618161i | ||||
\(765\) | 16.0929 | − | 41.9418i | 0.581838 | − | 1.51641i | ||||
\(766\) | 3.19619i | 0.115483i | ||||||||
\(767\) | 7.44266 | − | 8.86981i | 0.268739 | − | 0.320270i | ||||
\(768\) | 1.41016 | + | 1.00570i | 0.0508849 | + | 0.0362902i | ||||
\(769\) | 3.98342 | − | 10.9444i | 0.143646 | − | 0.394664i | −0.846917 | − | 0.531726i | \(-0.821544\pi\) |
0.990562 | + | 0.137062i | \(0.0437660\pi\) | |||||||
\(770\) | 33.7463 | + | 14.4933i | 1.21613 | + | 0.522301i | ||||
\(771\) | 35.8883 | − | 16.3584i | 1.29249 | − | 0.589135i | ||||
\(772\) | 12.6932 | − | 4.61995i | 0.456838 | − | 0.166275i | ||||
\(773\) | −31.7996 | −1.14375 | −0.571876 | − | 0.820340i | \(-0.693784\pi\) | ||||
−0.571876 | + | 0.820340i | \(0.693784\pi\) | |||||||
\(774\) | 5.04562 | + | 1.93598i | 0.181361 | + | 0.0695873i | ||||
\(775\) | − | 3.74450i | − | 0.134506i | ||||||
\(776\) | −7.21239 | − | 6.05191i | −0.258910 | − | 0.217251i | ||||
\(777\) | 28.9743 | − | 0.638197i | 1.03945 | − | 0.0228952i | ||||
\(778\) | 1.40350 | + | 7.95962i | 0.0503178 | + | 0.285366i | ||||
\(779\) | 2.37671 | − | 6.52996i | 0.0851546 | − | 0.233960i | ||||
\(780\) | 3.29382 | + | 3.35132i | 0.117938 | + | 0.119996i | ||||
\(781\) | 11.1145 | − | 63.0337i | 0.397710 | − | 2.25552i | ||||
\(782\) | −5.42549 | − | 9.39722i | −0.194015 | − | 0.336044i | ||||
\(783\) | 20.2285 | − | 40.5945i | 0.722908 | − | 1.45073i | ||||
\(784\) | −4.16227 | + | 5.62810i | −0.148652 | + | 0.201004i | ||||
\(785\) | −1.50351 | − | 4.13085i | −0.0536625 | − | 0.147436i | ||||
\(786\) | −23.6787 | − | 24.0921i | −0.844593 | − | 0.859338i | ||||
\(787\) | 31.9833 | − | 5.63951i | 1.14008 | − | 0.201027i | 0.428439 | − | 0.903570i | \(-0.359064\pi\) |
0.711641 | + | 0.702544i | \(0.247952\pi\) | |||||||
\(788\) | 1.72421 | − | 4.73724i | 0.0614226 | − | 0.168757i | ||||
\(789\) | 24.8709 | − | 17.0960i | 0.885426 | − | 0.608632i | ||||
\(790\) | 22.7884 | − | 27.1581i | 0.810773 | − | 0.966242i | ||||
\(791\) | −3.26313 | + | 1.64530i | −0.116024 | + | 0.0585000i | ||||
\(792\) | −10.8648 | + | 12.5022i | −0.386063 | + | 0.444247i | ||||
\(793\) | −2.93213 | + | 5.07860i | −0.104123 | + | 0.180346i | ||||
\(794\) | −1.36482 | − | 1.14522i | −0.0484357 | − | 0.0406424i | ||||
\(795\) | 3.83148 | + | 8.40578i | 0.135889 | + | 0.298122i | ||||
\(796\) | −1.60584 | + | 0.283153i | −0.0569174 | + | 0.0100361i | ||||
\(797\) | −5.75945 | − | 2.09627i | −0.204010 | − | 0.0742537i | 0.237994 | − | 0.971267i | \(-0.423510\pi\) |
−0.442004 | + | 0.897013i | \(0.645732\pi\) | |||||||
\(798\) | −1.56718 | + | 10.1961i | −0.0554775 | + | 0.360938i | ||||
\(799\) | −6.08261 | + | 34.4962i | −0.215187 | + | 1.22039i | ||||
\(800\) | 1.14434 | + | 0.660685i | 0.0404585 | + | 0.0233587i | ||||
\(801\) | −41.4615 | + | 22.9905i | −1.46497 | + | 0.812329i | ||||
\(802\) | −0.416851 | − | 0.722008i | −0.0147195 | − | 0.0254950i | ||||
\(803\) | −0.414513 | + | 2.35082i | −0.0146278 | + | 0.0829586i | ||||
\(804\) | 1.92307 | − | 4.03257i | 0.0678215 | − | 0.142218i | ||||
\(805\) | −7.25261 | − | 9.70973i | −0.255621 | − | 0.342223i | ||||
\(806\) | −1.96551 | − | 2.34241i | −0.0692322 | − | 0.0825077i | ||||
\(807\) | 49.3270 | + | 13.6757i | 1.73639 | + | 0.481407i | ||||
\(808\) | 6.71243 | + | 1.18358i | 0.236143 | + | 0.0416383i | ||||
\(809\) | −10.1637 | − | 5.86803i | −0.357337 | − | 0.206309i | 0.310575 | − | 0.950549i | \(-0.399478\pi\) |
−0.667912 | + | 0.744240i | \(0.732812\pi\) | |||||||
\(810\) | 19.1932 | + | 11.9854i | 0.674382 | + | 0.421125i | ||||
\(811\) | − | 16.3722i | − | 0.574907i | −0.957795 | − | 0.287453i | \(-0.907191\pi\) | ||
0.957795 | − | 0.287453i | \(-0.0928086\pi\) | |||||||
\(812\) | −15.8213 | + | 16.8230i | −0.555217 | + | 0.590370i | ||||
\(813\) | 15.2775 | + | 15.5442i | 0.535806 | + | 0.545160i | ||||
\(814\) | −32.8113 | − | 11.9423i | −1.15004 | − | 0.418579i | ||||
\(815\) | −57.4080 | − | 20.8948i | −2.01091 | − | 0.731913i | ||||
\(816\) | −5.84357 | − | 8.50111i | −0.204566 | − | 0.297599i | ||||
\(817\) | −3.99358 | − | 0.704176i | −0.139718 | − | 0.0246360i | ||||
\(818\) | −10.4172 | + | 18.0432i | −0.364230 | + | 0.630865i | ||||
\(819\) | −3.72302 | − | 7.71311i | −0.130093 | − | 0.269518i | ||||
\(820\) | 3.88066 | + | 6.72151i | 0.135519 | + | 0.234725i | ||||
\(821\) | −7.33250 | − | 20.1459i | −0.255906 | − | 0.703096i | −0.999409 | − | 0.0343636i | \(-0.989060\pi\) |
0.743504 | − | 0.668732i | \(-0.233163\pi\) | |||||||
\(822\) | 22.7128 | + | 16.1983i | 0.792199 | + | 0.564982i | ||||
\(823\) | −20.3850 | + | 17.1051i | −0.710578 | + | 0.596246i | −0.924761 | − | 0.380548i | \(-0.875735\pi\) |
0.214183 | + | 0.976793i | \(0.431291\pi\) | |||||||
\(824\) | −1.34703 | − | 7.63937i | −0.0469259 | − | 0.266130i | ||||
\(825\) | −7.33710 | + | 10.2878i | −0.255445 | + | 0.358176i | ||||
\(826\) | −19.4498 | + | 20.6813i | −0.676747 | + | 0.719594i | ||||
\(827\) | −1.62462 | + | 0.937977i | −0.0564937 | + | 0.0326167i | −0.527981 | − | 0.849256i | \(-0.677051\pi\) |
0.471487 | + | 0.881873i | \(0.343717\pi\) | |||||||
\(828\) | 5.16767 | − | 1.78022i | 0.179589 | − | 0.0618670i | ||||
\(829\) | −20.8924 | + | 12.0622i | −0.725622 | + | 0.418938i | −0.816818 | − | 0.576895i | \(-0.804264\pi\) |
0.0911965 | + | 0.995833i | \(0.470931\pi\) | |||||||
\(830\) | −5.87401 | − | 16.1387i | −0.203890 | − | 0.560183i | ||||
\(831\) | −1.55376 | − | 2.26038i | −0.0538995 | − | 0.0784118i | ||||
\(832\) | 1.06265 | − | 0.187374i | 0.0368408 | − | 0.00649602i | ||||
\(833\) | 34.7594 | − | 23.0200i | 1.20434 | − | 0.797595i | ||||
\(834\) | 2.10748 | + | 8.14654i | 0.0729759 | + | 0.282091i | ||||
\(835\) | −26.7020 | − | 22.4056i | −0.924060 | − | 0.775379i | ||||
\(836\) | 6.21433 | − | 10.7635i | 0.214927 | − | 0.372265i | ||||
\(837\) | −11.8386 | − | 8.75607i | −0.409202 | − | 0.302654i | ||||
\(838\) | −7.44306 | + | 4.29725i | −0.257116 | + | 0.148446i | ||||
\(839\) | 7.89023 | − | 2.87181i | 0.272401 | − | 0.0991458i | −0.202208 | − | 0.979343i | \(-0.564812\pi\) |
0.474609 | + | 0.880197i | \(0.342589\pi\) | |||||||
\(840\) | −7.59855 | − | 8.66088i | −0.262175 | − | 0.298829i | ||||
\(841\) | −36.1490 | + | 30.3326i | −1.24652 | + | 1.04595i | ||||
\(842\) | 5.05808 | + | 6.02799i | 0.174313 | + | 0.207738i | ||||
\(843\) | −3.48293 | − | 44.2133i | −0.119959 | − | 1.52279i | ||||
\(844\) | 24.7552 | − | 9.01017i | 0.852110 | − | 0.310143i | ||||
\(845\) | −29.7576 | −1.02369 | ||||||||
\(846\) | −16.4731 | − | 6.32063i | −0.566355 | − | 0.217308i | ||||
\(847\) | 23.2076 | + | 46.0278i | 0.797422 | + | 1.58154i | ||||
\(848\) | 2.08908 | + | 0.368361i | 0.0717393 | + | 0.0126496i | ||||
\(849\) | 2.83556 | − | 3.97593i | 0.0973163 | − | 0.136454i | ||||
\(850\) | −5.05866 | − | 6.02868i | −0.173511 | − | 0.206782i | ||||
\(851\) | 7.40630 | + | 8.82648i | 0.253885 | + | 0.302568i | ||||
\(852\) | −11.6590 | + | 16.3479i | −0.399431 | + | 0.560068i | ||||
\(853\) | 5.55474 | + | 0.979451i | 0.190191 | + | 0.0335358i | 0.267932 | − | 0.963438i | \(-0.413660\pi\) |
−0.0777413 | + | 0.996974i | \(0.524771\pi\) | |||||||
\(854\) | 7.88222 | − | 12.0259i | 0.269724 | − | 0.411516i | ||||
\(855\) | −15.8525 | − | 6.08253i | −0.542144 | − | 0.208018i | ||||
\(856\) | 17.9843 | 0.614690 | ||||||||
\(857\) | 12.4436 | − | 4.52910i | 0.425065 | − | 0.154711i | −0.120625 | − | 0.992698i | \(-0.538490\pi\) |
0.545690 | + | 0.837987i | \(0.316268\pi\) | |||||||
\(858\) | 0.810360 | + | 10.2869i | 0.0276652 | + | 0.351190i | ||||
\(859\) | 24.0348 | + | 28.6436i | 0.820058 | + | 0.977307i | 0.999980 | − | 0.00637407i | \(-0.00202894\pi\) |
−0.179922 | + | 0.983681i | \(0.557584\pi\) | |||||||
\(860\) | 3.46957 | − | 2.91132i | 0.118312 | − | 0.0992751i | ||||
\(861\) | −2.76265 | − | 13.8738i | −0.0941508 | − | 0.472819i | ||||
\(862\) | −30.7326 | + | 11.1857i | −1.04676 | + | 0.380988i | ||||
\(863\) | −5.31021 | + | 3.06585i | −0.180762 | + | 0.104363i | −0.587651 | − | 0.809115i | \(-0.699947\pi\) |
0.406889 | + | 0.913478i | \(0.366614\pi\) | |||||||
\(864\) | 4.76473 | − | 2.07301i | 0.162099 | − | 0.0705253i | ||||
\(865\) | −28.1917 | + | 48.8294i | −0.958545 | + | 1.66025i | ||||
\(866\) | 0.748267 | + | 0.627871i | 0.0254272 | + | 0.0213359i | ||||
\(867\) | 8.01309 | + | 30.9749i | 0.272139 | + | 1.05196i | ||||
\(868\) | 4.48676 | + | 6.00683i | 0.152290 | + | 0.203885i | ||||
\(869\) | 76.6693 | − | 13.5189i | 2.60083 | − | 0.458596i | ||||
\(870\) | −21.5322 | − | 31.3245i | −0.730008 | − | 1.06200i | ||||
\(871\) | −0.951936 | − | 2.61542i | −0.0322551 | − | 0.0886202i | ||||
\(872\) | −6.25057 | + | 3.60877i | −0.211671 | + | 0.122208i | ||||
\(873\) | −26.7051 | + | 9.19970i | −0.903831 | + | 0.311363i | ||||
\(874\) | −3.55182 | + | 2.05064i | −0.120142 | + | 0.0693640i | ||||
\(875\) | 17.8257 | + | 16.7643i | 0.602620 | + | 0.566738i | ||||
\(876\) | 0.434818 | − | 0.609687i | 0.0146911 | − | 0.0205994i | ||||
\(877\) | 3.88182 | + | 22.0149i | 0.131080 | + | 0.743391i | 0.977510 | + | 0.210891i | \(0.0676364\pi\) |
−0.846430 | + | 0.532500i | \(0.821252\pi\) | |||||||
\(878\) | 17.0866 | − | 14.3374i | 0.576645 | − | 0.483863i | ||||
\(879\) | −26.9960 | − | 19.2531i | −0.910552 | − | 0.649389i | ||||
\(880\) | 4.74774 | + | 13.0443i | 0.160046 | + | 0.439724i | ||||
\(881\) | −5.65245 | − | 9.79033i | −0.190436 | − | 0.329845i | 0.754959 | − | 0.655772i | \(-0.227657\pi\) |
−0.945395 | + | 0.325927i | \(0.894323\pi\) | |||||||
\(882\) | 8.04435 | + | 19.3982i | 0.270867 | + | 0.653170i | ||||
\(883\) | −2.61482 | + | 4.52900i | −0.0879957 | + | 0.152413i | −0.906664 | − | 0.421854i | \(-0.861380\pi\) |
0.818668 | + | 0.574267i | \(0.194713\pi\) | |||||||
\(884\) | −6.32898 | − | 1.11597i | −0.212867 | − | 0.0375341i | ||||
\(885\) | −26.4705 | − | 38.5088i | −0.889797 | − | 1.29446i | ||||
\(886\) | −15.0651 | − | 5.48324i | −0.506121 | − | 0.184213i | ||||
\(887\) | 27.7731 | + | 10.1086i | 0.932528 | + | 0.339413i | 0.763211 | − | 0.646149i | \(-0.223622\pi\) |
0.169317 | + | 0.985562i | \(0.445844\pi\) | |||||||
\(888\) | 7.67826 | + | 7.81231i | 0.257666 | + | 0.262164i | ||||
\(889\) | −10.5730 | + | 44.9285i | −0.354606 | + | 1.50685i | ||||
\(890\) | 39.7325i | 1.33184i | ||||||||
\(891\) | 15.3691 | + | 47.2539i | 0.514883 | + | 1.58306i | ||||
\(892\) | 4.39575 | + | 2.53789i | 0.147181 | + | 0.0849748i | ||||
\(893\) | 13.0383 | + | 2.29901i | 0.436312 | + | 0.0769335i | ||||
\(894\) | −14.9767 | − | 4.15223i | −0.500897 | − | 0.138871i | ||||
\(895\) | 6.10454 | + | 7.27511i | 0.204052 | + | 0.243180i | ||||
\(896\) | −2.62737 | + | 0.311323i | −0.0877743 | + | 0.0104006i | ||||
\(897\) | 1.46569 | − | 3.07346i | 0.0489380 | − | 0.102620i | ||||
\(898\) | −4.84671 | + | 27.4871i | −0.161737 | + | 0.917256i | ||||
\(899\) | 12.3676 | + | 21.4214i | 0.412483 | + | 0.714442i | ||||
\(900\) | 3.46681 | − | 1.92235i | 0.115560 | − | 0.0640783i | ||||
\(901\) | −10.9415 | − | 6.31709i | −0.364515 | − | 0.210453i | ||||
\(902\) | −2.95958 | + | 16.7846i | −0.0985434 | + | 0.558867i | ||||
\(903\) | −7.69327 | + | 2.99358i | −0.256016 | + | 0.0996200i | ||||
\(904\) | −1.29795 | − | 0.472416i | −0.0431693 | − | 0.0157123i | ||||
\(905\) | −48.7920 | + | 8.60335i | −1.62190 | + | 0.285985i | ||||
\(906\) | −9.91631 | − | 21.7551i | −0.329447 | − | 0.722765i | ||||
\(907\) | 5.90232 | + | 4.95264i | 0.195983 | + | 0.164450i | 0.735499 | − | 0.677526i | \(-0.236948\pi\) |
−0.539515 | + | 0.841976i | \(0.681392\pi\) | |||||||
\(908\) | 12.6735 | − | 21.9511i | 0.420584 | − | 0.728473i | ||||
\(909\) | 13.4128 | − | 15.4342i | 0.444874 | − | 0.511921i | ||||
\(910\) | −7.16634 | − | 0.405981i | −0.237562 | − | 0.0134581i | ||||
\(911\) | 19.4607 | − | 23.1923i | 0.644761 | − | 0.768397i | −0.340353 | − | 0.940298i | \(-0.610546\pi\) |
0.985114 | + | 0.171901i | \(0.0549909\pi\) | |||||||
\(912\) | −3.21312 | + | 2.20866i | −0.106397 | + | 0.0731362i | ||||
\(913\) | 12.8991 | − | 35.4399i | 0.426897 | − | 1.17289i | ||||
\(914\) | 3.41808 | − | 0.602699i | 0.113060 | − | 0.0199355i | ||||
\(915\) | 16.5896 | + | 16.8792i | 0.548434 | + | 0.558008i | ||||
\(916\) | 8.31759 | + | 22.8524i | 0.274821 | + | 0.755064i | ||||
\(917\) | 51.5178 | + | 2.91854i | 1.70127 | + | 0.0963785i | ||||
\(918\) | −30.8893 | + | 1.89611i | −1.01950 | + | 0.0625810i | ||||
\(919\) | 6.70923 | + | 11.6207i | 0.221317 | + | 0.383333i | 0.955208 | − | 0.295935i | \(-0.0956311\pi\) |
−0.733891 | + | 0.679267i | \(0.762298\pi\) | |||||||
\(920\) | 0.795429 | − | 4.51110i | 0.0262245 | − | 0.148727i | ||||
\(921\) | 16.2278 | + | 16.5111i | 0.534724 | + | 0.544059i | ||||
\(922\) | 11.8326 | − | 32.5099i | 0.389687 | − | 1.07066i | ||||
\(923\) | 2.17220 | + | 12.3192i | 0.0714989 | + | 0.405491i | ||||
\(924\) | −0.557156 | − | 25.2950i | −0.0183291 | − | 0.832144i | ||||
\(925\) | 6.40157 | + | 5.37156i | 0.210482 | + | 0.176616i | ||||
\(926\) | − | 4.13746i | − | 0.135965i | ||||||
\(927\) | −21.7272 | − | 8.33662i | −0.713615 | − | 0.273811i | ||||
\(928\) | −8.72864 | −0.286532 | ||||||||
\(929\) | −32.2528 | + | 11.7390i | −1.05818 | + | 0.385146i | −0.811744 | − | 0.584014i | \(-0.801481\pi\) |
−0.246435 | + | 0.969159i | \(0.579259\pi\) | |||||||
\(930\) | −11.2291 | + | 5.11838i | −0.368216 | + | 0.167838i | ||||
\(931\) | −8.70074 | − | 13.1378i | −0.285155 | − | 0.430574i | ||||
\(932\) | −0.647538 | + | 1.77910i | −0.0212108 | + | 0.0582763i | ||||
\(933\) | 11.1140 | + | 7.92629i | 0.363855 | + | 0.259495i | ||||
\(934\) | 6.02811 | − | 7.18402i | 0.197246 | − | 0.235068i | ||||
\(935\) | − | 82.6759i | − | 2.70379i | ||||||
\(936\) | 1.15964 | − | 3.02229i | 0.0379040 | − | 0.0987867i | ||||
\(937\) | −13.4150 | − | 7.74515i | −0.438249 | − | 0.253023i | 0.264606 | − | 0.964357i | \(-0.414758\pi\) |
−0.702854 | + | 0.711334i | \(0.748092\pi\) | |||||||
\(938\) | 1.96764 | + | 6.53462i | 0.0642458 | + | 0.213363i | ||||
\(939\) | 43.7465 | − | 30.0708i | 1.42761 | − | 0.981325i | ||||
\(940\) | −11.3276 | + | 9.50495i | −0.369464 | + | 0.310017i | ||||
\(941\) | −0.467308 | − | 2.65024i | −0.0152338 | − | 0.0863953i | 0.976243 | − | 0.216679i | \(-0.0695224\pi\) |
−0.991477 | + | 0.130283i | \(0.958411\pi\) | |||||||
\(942\) | −2.15983 | + | 2.12277i | −0.0703711 | + | 0.0691636i | ||||
\(943\) | 3.61513 | − | 4.30834i | 0.117725 | − | 0.140299i | ||||
\(944\) | −10.7305 | −0.349250 | ||||||||
\(945\) | −34.0112 | + | 6.16263i | −1.10638 | + | 0.200470i | ||||
\(946\) | 9.94596 | 0.323371 | ||||||||
\(947\) | 28.6809 | − | 34.1805i | 0.932003 | − | 1.11072i | −0.0616347 | − | 0.998099i | \(-0.519631\pi\) |
0.993638 | − | 0.112620i | \(-0.0359242\pi\) | |||||||
\(948\) | −23.5353 | − | 6.52505i | −0.764391 | − | 0.211924i | ||||
\(949\) | −0.0810115 | − | 0.459439i | −0.00262974 | − | 0.0149140i | ||||
\(950\) | −2.27863 | + | 1.91199i | −0.0739284 | + | 0.0620333i | ||||
\(951\) | 0.405175 | + | 5.14340i | 0.0131387 | + | 0.166786i | ||||
\(952\) | 15.3387 | + | 3.60963i | 0.497130 | + | 0.116989i | ||||
\(953\) | 19.2307 | + | 11.1028i | 0.622942 | + | 0.359656i | 0.778014 | − | 0.628247i | \(-0.216227\pi\) |
−0.155072 | + | 0.987903i | \(0.549561\pi\) | |||||||
\(954\) | 4.17440 | − | 4.80352i | 0.135151 | − | 0.155520i | ||||
\(955\) | 8.59180i | 0.278024i | ||||||||
\(956\) | 7.92982 | − | 9.45039i | 0.256469 | − | 0.305647i | ||||
\(957\) | 7.99426 | − | 83.0876i | 0.258418 | − | 2.68584i | ||||
\(958\) | −3.93054 | + | 10.7991i | −0.126990 | + | 0.348902i | ||||
\(959\) | −42.3177 | + | 5.01432i | −1.36651 | + | 0.161921i | ||||
\(960\) | 0.417068 | − | 4.33476i | 0.0134608 | − | 0.139904i | ||||
\(961\) | −21.5843 | + | 7.85606i | −0.696269 | + | 0.253421i | ||||
\(962\) | 6.82412 | 0.220019 | ||||||||
\(963\) | 27.7810 | − | 46.2507i | 0.895230 | − | 1.49041i | ||||
\(964\) | 12.3061i | 0.396352i | ||||||||
\(965\) | −26.0163 | − | 21.8302i | −0.837493 | − | 0.702740i | ||||
\(966\) | −4.01427 | + | 7.32063i | −0.129157 | + | 0.235537i | ||||
\(967\) | −7.58590 | − | 43.0218i | −0.243946 | − | 1.38349i | −0.822927 | − | 0.568147i | \(-0.807661\pi\) |
0.578981 | − | 0.815341i | \(-0.303451\pi\) | |||||||
\(968\) | −6.66363 | + | 18.3082i | −0.214177 | + | 0.588447i | ||||
\(969\) | 22.4818 | − | 5.81596i | 0.722221 | − | 0.186836i | ||||
\(970\) | −4.11056 | + | 23.3121i | −0.131982 | + | 0.748508i | ||||
\(971\) | −10.2335 | − | 17.7249i | −0.328408 | − | 0.568820i | 0.653788 | − | 0.756678i | \(-0.273179\pi\) |
−0.982196 | + | 0.187858i | \(0.939846\pi\) | |||||||
\(972\) | 2.02902 | − | 15.4558i | 0.0650808 | − | 0.495746i | ||||
\(973\) | −10.7503 | − | 7.04617i | −0.344639 | − | 0.225890i | ||||
\(974\) | 9.39481 | + | 25.8120i | 0.301029 | + | 0.827071i | ||||
\(975\) | 0.659793 | − | 2.37981i | 0.0211303 | − | 0.0762151i | ||||
\(976\) | 5.35212 | − | 0.943723i | 0.171317 | − | 0.0302078i | ||||
\(977\) | −10.4740 | + | 28.7771i | −0.335094 | + | 0.920662i | 0.651671 | + | 0.758502i | \(0.274068\pi\) |
−0.986764 | + | 0.162160i | \(0.948154\pi\) | |||||||
\(978\) | 3.30514 | + | 41.9564i | 0.105687 | + | 1.34162i | ||||
\(979\) | −56.0839 | + | 66.8381i | −1.79245 | + | 2.13616i | ||||
\(980\) | 17.4870 | + | 1.98770i | 0.558603 | + | 0.0634946i | ||||
\(981\) | −0.374707 | + | 21.6494i | −0.0119635 | + | 0.691211i | ||||
\(982\) | −6.26687 | + | 10.8545i | −0.199984 | + | 0.346382i | ||||
\(983\) | −14.5651 | − | 12.2216i | −0.464554 | − | 0.389807i | 0.380249 | − | 0.924884i | \(-0.375838\pi\) |
−0.844803 | + | 0.535077i | \(0.820283\pi\) | |||||||
\(984\) | 3.10456 | − | 4.35311i | 0.0989698 | − | 0.138772i | ||||
\(985\) | −12.4824 | + | 2.20098i | −0.397721 | + | 0.0701290i | ||||
\(986\) | 48.8513 | + | 17.7804i | 1.55574 | + | 0.566244i | ||||
\(987\) | 25.1172 | − | 9.77350i | 0.799489 | − | 0.311094i | ||||
\(988\) | −0.421797 | + | 2.39213i | −0.0134191 | + | 0.0761038i | ||||
\(989\) | −2.84232 | − | 1.64101i | −0.0903805 | − | 0.0521812i | ||||
\(990\) | 40.8805 | + | 7.94012i | 1.29927 | + | 0.252354i | ||||
\(991\) | 9.30306 | + | 16.1134i | 0.295522 | + | 0.511858i | 0.975106 | − | 0.221739i | \(-0.0711733\pi\) |
−0.679585 | + | 0.733597i | \(0.737840\pi\) | |||||||
\(992\) | −0.492084 | + | 2.79075i | −0.0156237 | + | 0.0886064i | ||||
\(993\) | 0.991710 | − | 0.0781226i | 0.0314710 | − | 0.00247915i | ||||
\(994\) | −3.60913 | − | 30.4588i | −0.114475 | − | 0.966095i | ||||
\(995\) | 2.63526 | + | 3.14058i | 0.0835434 | + | 0.0995631i | ||||
\(996\) | −8.43817 | + | 8.29339i | −0.267374 | + | 0.262786i | ||||
\(997\) | −47.0895 | − | 8.30315i | −1.49134 | − | 0.262963i | −0.632240 | − | 0.774772i | \(-0.717864\pi\) |
−0.859099 | + | 0.511809i | \(0.828976\pi\) | |||||||
\(998\) | −37.3160 | − | 21.5444i | −1.18122 | − | 0.681976i | ||||
\(999\) | 31.9520 | − | 7.67846i | 1.01092 | − | 0.242936i |
(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 | 378.2.bf.a.101.19 | yes | 144 | |
7.5 | odd | 6 | 378.2.ba.a.47.12 | ✓ | 144 | ||
27.23 | odd | 18 | 378.2.ba.a.185.12 | yes | 144 | ||
189.131 | even | 18 | inner | 378.2.bf.a.131.19 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.ba.a.47.12 | ✓ | 144 | 7.5 | odd | 6 | ||
378.2.ba.a.185.12 | yes | 144 | 27.23 | odd | 18 | ||
378.2.bf.a.101.19 | yes | 144 | 1.1 | even | 1 | trivial | |
378.2.bf.a.131.19 | yes | 144 | 189.131 | even | 18 | inner |