Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(29,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.w (of order \(10\), degree \(4\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 365.1 | ||
Character | \(\chi\) | \(=\) | 462.365 |
Dual form | 462.2.w.a.281.1 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | − | 0.951057i | 0.218508 | − | 0.672499i | ||||
\(3\) | −1.72172 | + | 0.188926i | −0.994033 | + | 0.109077i | ||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | 0.152745 | − | 0.0496298i | 0.0683096 | − | 0.0221951i | −0.274663 | − | 0.961541i | \(-0.588566\pi\) |
0.342972 | + | 0.939345i | \(0.388566\pi\) | |||||||
\(6\) | −0.352360 | + | 1.69583i | −0.143850 | + | 0.692320i | ||||
\(7\) | 0.587785 | − | 0.809017i | 0.222162 | − | 0.305780i | ||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | 2.92861 | − | 0.650555i | 0.976205 | − | 0.216852i | ||||
\(10\) | − | 0.160605i | − | 0.0507879i | ||||||
\(11\) | 3.12194 | − | 1.11961i | 0.941299 | − | 0.337574i | ||||
\(12\) | 1.50395 | + | 0.859155i | 0.434152 | + | 0.248017i | ||||
\(13\) | −6.36388 | − | 2.06775i | −1.76502 | − | 0.573491i | −0.767322 | − | 0.641262i | \(-0.778411\pi\) |
−0.997701 | + | 0.0677714i | \(0.978411\pi\) | |||||||
\(14\) | −0.587785 | − | 0.809017i | −0.157092 | − | 0.216219i | ||||
\(15\) | −0.253607 | + | 0.114306i | −0.0654810 | + | 0.0295137i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −0.841882 | − | 2.59105i | −0.204186 | − | 0.628421i | −0.999746 | − | 0.0225456i | \(-0.992823\pi\) |
0.795559 | − | 0.605876i | \(-0.207177\pi\) | |||||||
\(18\) | 0.286277 | − | 2.98631i | 0.0674762 | − | 0.703880i | ||||
\(19\) | −3.45842 | − | 4.76011i | −0.793417 | − | 1.09204i | −0.993674 | − | 0.112301i | \(-0.964178\pi\) |
0.200257 | − | 0.979743i | \(-0.435822\pi\) | |||||||
\(20\) | −0.152745 | − | 0.0496298i | −0.0341548 | − | 0.0110976i | ||||
\(21\) | −0.859155 | + | 1.50395i | −0.187483 | + | 0.328188i | ||||
\(22\) | −0.100078 | − | 3.31511i | −0.0213367 | − | 0.706785i | ||||
\(23\) | 2.94363i | 0.613788i | 0.951744 | + | 0.306894i | \(0.0992898\pi\) | ||||
−0.951744 | + | 0.306894i | \(0.900710\pi\) | |||||||
\(24\) | 1.28185 | − | 1.16484i | 0.261656 | − | 0.237773i | ||||
\(25\) | −4.02422 | + | 2.92376i | −0.804843 | + | 0.584753i | ||||
\(26\) | −3.93309 | + | 5.41344i | −0.771343 | + | 1.06166i | ||||
\(27\) | −4.91934 | + | 1.67336i | −0.946726 | + | 0.322039i | ||||
\(28\) | −0.951057 | + | 0.309017i | −0.179733 | + | 0.0583987i | ||||
\(29\) | −5.12098 | − | 3.72061i | −0.950942 | − | 0.690900i | 8.76975e−5 | − | 1.00000i | \(-0.499972\pi\) |
−0.951029 | + | 0.309100i | \(0.899972\pi\) | |||||||
\(30\) | 0.0303426 | + | 0.276517i | 0.00553977 | + | 0.0504849i | ||||
\(31\) | 2.60546 | − | 8.01878i | 0.467954 | − | 1.44021i | −0.387275 | − | 0.921964i | \(-0.626584\pi\) |
0.855229 | − | 0.518250i | \(-0.173416\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −5.16356 | + | 2.51746i | −0.898861 | + | 0.438234i | ||||
\(34\) | −2.72439 | −0.467229 | ||||||||
\(35\) | 0.0496298 | − | 0.152745i | 0.00838897 | − | 0.0258186i | ||||
\(36\) | −2.75168 | − | 1.19509i | −0.458614 | − | 0.199181i | ||||
\(37\) | −0.501222 | − | 0.364159i | −0.0824003 | − | 0.0598673i | 0.545822 | − | 0.837901i | \(-0.316217\pi\) |
−0.628223 | + | 0.778034i | \(0.716217\pi\) | |||||||
\(38\) | −5.59585 | + | 1.81820i | −0.907766 | + | 0.294951i | ||||
\(39\) | 11.3474 | + | 2.35778i | 1.81705 | + | 0.377546i | ||||
\(40\) | −0.0944015 | + | 0.129933i | −0.0149262 | + | 0.0205441i | ||||
\(41\) | 4.44808 | − | 3.23172i | 0.694673 | − | 0.504709i | −0.183520 | − | 0.983016i | \(-0.558749\pi\) |
0.878193 | + | 0.478307i | \(0.158749\pi\) | |||||||
\(42\) | 1.16484 | + | 1.28185i | 0.179739 | + | 0.197794i | ||||
\(43\) | 2.41048i | 0.367594i | 0.982964 | + | 0.183797i | \(0.0588390\pi\) | ||||
−0.982964 | + | 0.183797i | \(0.941161\pi\) | |||||||
\(44\) | −3.18379 | − | 0.929247i | −0.479974 | − | 0.140089i | ||||
\(45\) | 0.415044 | − | 0.244715i | 0.0618711 | − | 0.0364800i | ||||
\(46\) | 2.79955 | + | 0.909630i | 0.412772 | + | 0.134118i | ||||
\(47\) | 1.56714 | + | 2.15699i | 0.228592 | + | 0.314629i | 0.907870 | − | 0.419251i | \(-0.137707\pi\) |
−0.679279 | + | 0.733880i | \(0.737707\pi\) | |||||||
\(48\) | −0.711719 | − | 1.57907i | −0.102728 | − | 0.227919i | ||||
\(49\) | −0.309017 | − | 0.951057i | −0.0441453 | − | 0.135865i | ||||
\(50\) | 1.53711 | + | 4.73075i | 0.217381 | + | 0.669029i | ||||
\(51\) | 1.93900 | + | 4.30199i | 0.271514 | + | 0.602400i | ||||
\(52\) | 3.93309 | + | 5.41344i | 0.545422 | + | 0.750709i | ||||
\(53\) | −2.46767 | − | 0.801796i | −0.338961 | − | 0.110135i | 0.134590 | − | 0.990901i | \(-0.457028\pi\) |
−0.473551 | + | 0.880766i | \(0.657028\pi\) | |||||||
\(54\) | 0.0713040 | + | 5.19566i | 0.00970325 | + | 0.707040i | ||||
\(55\) | 0.421294 | − | 0.325955i | 0.0568072 | − | 0.0439518i | ||||
\(56\) | 1.00000i | 0.133631i | ||||||||
\(57\) | 6.85373 | + | 7.54218i | 0.907799 | + | 0.998986i | ||||
\(58\) | −5.12098 | + | 3.72061i | −0.672417 | + | 0.488540i | ||||
\(59\) | 8.48442 | − | 11.6778i | 1.10458 | − | 1.52032i | 0.275403 | − | 0.961329i | \(-0.411189\pi\) |
0.829174 | − | 0.558991i | \(-0.188811\pi\) | |||||||
\(60\) | 0.272360 | + | 0.0565910i | 0.0351615 | + | 0.00730586i | ||||
\(61\) | −7.68134 | + | 2.49582i | −0.983495 | + | 0.319557i | −0.756251 | − | 0.654281i | \(-0.772971\pi\) |
−0.227243 | + | 0.973838i | \(0.572971\pi\) | |||||||
\(62\) | −6.82118 | − | 4.95588i | −0.866291 | − | 0.629397i | ||||
\(63\) | 1.19509 | − | 2.75168i | 0.150567 | − | 0.346680i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −1.07467 | −0.133297 | ||||||||
\(66\) | 0.798618 | + | 5.68878i | 0.0983030 | + | 0.700240i | ||||
\(67\) | 9.38707 | 1.14681 | 0.573407 | − | 0.819271i | \(-0.305622\pi\) | ||||
0.573407 | + | 0.819271i | \(0.305622\pi\) | |||||||
\(68\) | −0.841882 | + | 2.59105i | −0.102093 | + | 0.314211i | ||||
\(69\) | −0.556128 | − | 5.06809i | −0.0669499 | − | 0.610126i | ||||
\(70\) | −0.129933 | − | 0.0944015i | −0.0155299 | − | 0.0112831i | ||||
\(71\) | 10.0295 | − | 3.25877i | 1.19028 | − | 0.386745i | 0.354103 | − | 0.935207i | \(-0.384786\pi\) |
0.836176 | + | 0.548462i | \(0.184786\pi\) | |||||||
\(72\) | −1.98691 | + | 2.24771i | −0.234160 | + | 0.264895i | ||||
\(73\) | 0.0597686 | − | 0.0822645i | 0.00699539 | − | 0.00962833i | −0.805505 | − | 0.592589i | \(-0.798106\pi\) |
0.812500 | + | 0.582961i | \(0.198106\pi\) | |||||||
\(74\) | −0.501222 | + | 0.364159i | −0.0582658 | + | 0.0423326i | ||||
\(75\) | 6.37618 | − | 5.79417i | 0.736258 | − | 0.669054i | ||||
\(76\) | 5.88382i | 0.674921i | ||||||||
\(77\) | 0.929247 | − | 3.18379i | 0.105898 | − | 0.362826i | ||||
\(78\) | 5.74893 | − | 10.0635i | 0.650938 | − | 1.13946i | ||||
\(79\) | −8.72301 | − | 2.83428i | −0.981415 | − | 0.318881i | −0.226000 | − | 0.974127i | \(-0.572565\pi\) |
−0.755415 | + | 0.655246i | \(0.772565\pi\) | |||||||
\(80\) | 0.0944015 | + | 0.129933i | 0.0105544 | + | 0.0145269i | ||||
\(81\) | 8.15356 | − | 3.81045i | 0.905951 | − | 0.423383i | ||||
\(82\) | −1.69901 | − | 5.22903i | −0.187625 | − | 0.577450i | ||||
\(83\) | 4.39153 | + | 13.5157i | 0.482033 | + | 1.48355i | 0.836232 | + | 0.548376i | \(0.184754\pi\) |
−0.354199 | + | 0.935170i | \(0.615246\pi\) | |||||||
\(84\) | 1.57907 | − | 0.711719i | 0.172290 | − | 0.0776549i | ||||
\(85\) | −0.257186 | − | 0.353987i | −0.0278958 | − | 0.0383953i | ||||
\(86\) | 2.29250 | + | 0.744879i | 0.247207 | + | 0.0803223i | ||||
\(87\) | 9.51979 | + | 5.43834i | 1.02063 | + | 0.583052i | ||||
\(88\) | −1.86761 | + | 2.74081i | −0.199088 | + | 0.292171i | ||||
\(89\) | 15.1000i | 1.60060i | 0.599601 | + | 0.800299i | \(0.295326\pi\) | ||||
−0.599601 | + | 0.800299i | \(0.704674\pi\) | |||||||
\(90\) | −0.104483 | − | 0.470351i | −0.0110134 | − | 0.0495794i | ||||
\(91\) | −5.41344 | + | 3.93309i | −0.567483 | + | 0.412300i | ||||
\(92\) | 1.73022 | − | 2.38144i | 0.180388 | − | 0.248283i | ||||
\(93\) | −2.97090 | + | 14.2983i | −0.308068 | + | 1.48266i | ||||
\(94\) | 2.53569 | − | 0.823897i | 0.261537 | − | 0.0849785i | ||||
\(95\) | −0.764500 | − | 0.555442i | −0.0784361 | − | 0.0569871i | ||||
\(96\) | −1.72172 | + | 0.188926i | −0.175722 | + | 0.0192822i | ||||
\(97\) | −3.20306 | + | 9.85801i | −0.325222 | + | 1.00093i | 0.646119 | + | 0.763237i | \(0.276391\pi\) |
−0.971341 | + | 0.237692i | \(0.923609\pi\) | |||||||
\(98\) | −1.00000 | −0.101015 | ||||||||
\(99\) | 8.41458 | − | 5.30988i | 0.845697 | − | 0.533663i | ||||
\(100\) | 4.97421 | 0.497421 | ||||||||
\(101\) | 3.65609 | − | 11.2523i | 0.363795 | − | 1.11964i | −0.586938 | − | 0.809632i | \(-0.699667\pi\) |
0.950732 | − | 0.310013i | \(-0.100333\pi\) | |||||||
\(102\) | 4.69062 | − | 0.514708i | 0.464441 | − | 0.0509637i | ||||
\(103\) | 0.881475 | + | 0.640429i | 0.0868543 | + | 0.0631033i | 0.630365 | − | 0.776299i | \(-0.282905\pi\) |
−0.543511 | + | 0.839402i | \(0.682905\pi\) | |||||||
\(104\) | 6.36388 | − | 2.06775i | 0.624030 | − | 0.202760i | ||||
\(105\) | −0.0565910 | + | 0.272360i | −0.00552271 | + | 0.0265796i | ||||
\(106\) | −1.52511 | + | 2.09913i | −0.148131 | + | 0.203885i | ||||
\(107\) | 6.75237 | − | 4.90589i | 0.652776 | − | 0.474270i | −0.211439 | − | 0.977391i | \(-0.567815\pi\) |
0.864216 | + | 0.503121i | \(0.167815\pi\) | |||||||
\(108\) | 4.96340 | + | 1.53773i | 0.477604 | + | 0.147969i | ||||
\(109\) | 0.765456i | 0.0733174i | 0.999328 | + | 0.0366587i | \(0.0116714\pi\) | ||||
−0.999328 | + | 0.0366587i | \(0.988329\pi\) | |||||||
\(110\) | −0.179815 | − | 0.501400i | −0.0171447 | − | 0.0478066i | ||||
\(111\) | 0.931761 | + | 0.532284i | 0.0884388 | + | 0.0505222i | ||||
\(112\) | 0.951057 | + | 0.309017i | 0.0898664 | + | 0.0291994i | ||||
\(113\) | −6.11535 | − | 8.41706i | −0.575284 | − | 0.791810i | 0.417885 | − | 0.908500i | \(-0.362772\pi\) |
−0.993168 | + | 0.116690i | \(0.962772\pi\) | |||||||
\(114\) | 9.29096 | − | 4.18763i | 0.870178 | − | 0.392207i | ||||
\(115\) | 0.146092 | + | 0.449624i | 0.0136231 | + | 0.0419276i | ||||
\(116\) | 1.95604 | + | 6.02007i | 0.181614 | + | 0.558950i | ||||
\(117\) | −19.9825 | − | 1.91559i | −1.84739 | − | 0.177096i | ||||
\(118\) | −8.48442 | − | 11.6778i | −0.781054 | − | 1.07503i | ||||
\(119\) | −2.59105 | − | 0.841882i | −0.237521 | − | 0.0771752i | ||||
\(120\) | 0.137985 | − | 0.241542i | 0.0125962 | − | 0.0220497i | ||||
\(121\) | 8.49296 | − | 6.99068i | 0.772088 | − | 0.635516i | ||||
\(122\) | 8.07664i | 0.731225i | ||||||||
\(123\) | −7.04777 | + | 6.40446i | −0.635476 | + | 0.577471i | ||||
\(124\) | −6.82118 | + | 4.95588i | −0.612560 | + | 0.445051i | ||||
\(125\) | −0.941580 | + | 1.29597i | −0.0842175 | + | 0.115915i | ||||
\(126\) | −2.24771 | − | 1.98691i | −0.200242 | − | 0.177008i | ||||
\(127\) | 12.9700 | − | 4.21421i | 1.15090 | − | 0.373951i | 0.329419 | − | 0.944184i | \(-0.393147\pi\) |
0.821483 | + | 0.570233i | \(0.193147\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | −0.455402 | − | 4.15016i | −0.0400959 | − | 0.365401i | ||||
\(130\) | −0.332092 | + | 1.02207i | −0.0291264 | + | 0.0896418i | ||||
\(131\) | 7.47224 | 0.652852 | 0.326426 | − | 0.945223i | \(-0.394156\pi\) | ||||
0.326426 | + | 0.945223i | \(0.394156\pi\) | |||||||
\(132\) | 5.65714 | + | 0.998399i | 0.492391 | + | 0.0868995i | ||||
\(133\) | −5.88382 | −0.510192 | ||||||||
\(134\) | 2.90076 | − | 8.92763i | 0.250588 | − | 0.771230i | ||||
\(135\) | −0.668355 | + | 0.499743i | −0.0575228 | + | 0.0430111i | ||||
\(136\) | 2.20408 | + | 1.60136i | 0.188998 | + | 0.137315i | ||||
\(137\) | 4.15192 | − | 1.34904i | 0.354722 | − | 0.115256i | −0.126235 | − | 0.992000i | \(-0.540289\pi\) |
0.480957 | + | 0.876744i | \(0.340289\pi\) | |||||||
\(138\) | −4.99189 | − | 1.03722i | −0.424938 | − | 0.0882937i | ||||
\(139\) | −12.1741 | + | 16.7562i | −1.03260 | + | 1.42125i | −0.129615 | + | 0.991564i | \(0.541374\pi\) |
−0.902981 | + | 0.429681i | \(0.858626\pi\) | |||||||
\(140\) | −0.129933 | + | 0.0944015i | −0.0109813 | + | 0.00797839i | ||||
\(141\) | −3.10569 | − | 3.41765i | −0.261546 | − | 0.287818i | ||||
\(142\) | − | 10.5456i | − | 0.884967i | ||||||
\(143\) | −22.1827 | + | 0.669659i | −1.85501 | + | 0.0559997i | ||||
\(144\) | 1.52371 | + | 2.58424i | 0.126975 | + | 0.215354i | ||||
\(145\) | −0.966856 | − | 0.314151i | −0.0802930 | − | 0.0260888i | ||||
\(146\) | −0.0597686 | − | 0.0822645i | −0.00494649 | − | 0.00680826i | ||||
\(147\) | 0.711719 | + | 1.57907i | 0.0587016 | + | 0.130239i | ||||
\(148\) | 0.191450 | + | 0.589221i | 0.0157371 | + | 0.0484337i | ||||
\(149\) | −0.923115 | − | 2.84105i | −0.0756245 | − | 0.232748i | 0.906097 | − | 0.423069i | \(-0.139047\pi\) |
−0.981722 | + | 0.190321i | \(0.939047\pi\) | |||||||
\(150\) | −3.54024 | − | 7.85461i | −0.289059 | − | 0.641326i | ||||
\(151\) | 0.0890010 | + | 0.122499i | 0.00724280 | + | 0.00996886i | 0.812623 | − | 0.582790i | \(-0.198039\pi\) |
−0.805380 | + | 0.592759i | \(0.798039\pi\) | |||||||
\(152\) | 5.59585 | + | 1.81820i | 0.453883 | + | 0.147476i | ||||
\(153\) | −4.15117 | − | 7.04049i | −0.335602 | − | 0.569190i | ||||
\(154\) | −2.74081 | − | 1.86761i | −0.220861 | − | 0.150496i | ||||
\(155\) | − | 1.35414i | − | 0.108767i | ||||||
\(156\) | −7.79441 | − | 8.57734i | −0.624052 | − | 0.686737i | ||||
\(157\) | 1.43904 | − | 1.04552i | 0.114848 | − | 0.0834417i | −0.528879 | − | 0.848697i | \(-0.677387\pi\) |
0.643727 | + | 0.765256i | \(0.277387\pi\) | |||||||
\(158\) | −5.39112 | + | 7.42024i | −0.428894 | + | 0.590322i | ||||
\(159\) | 4.40012 | + | 0.914257i | 0.348952 | + | 0.0725053i | ||||
\(160\) | 0.152745 | − | 0.0496298i | 0.0120755 | − | 0.00392358i | ||||
\(161\) | 2.38144 | + | 1.73022i | 0.187684 | + | 0.136360i | ||||
\(162\) | −1.10436 | − | 8.93199i | −0.0867669 | − | 0.701763i | ||||
\(163\) | 5.31247 | − | 16.3501i | 0.416105 | − | 1.28064i | −0.495154 | − | 0.868805i | \(-0.664889\pi\) |
0.911259 | − | 0.411833i | \(-0.135111\pi\) | |||||||
\(164\) | −5.49813 | −0.429331 | ||||||||
\(165\) | −0.663767 | + | 0.640796i | −0.0516742 | + | 0.0498859i | ||||
\(166\) | 14.2113 | 1.10301 | ||||||||
\(167\) | −6.43253 | + | 19.7973i | −0.497764 | + | 1.53196i | 0.314841 | + | 0.949145i | \(0.398049\pi\) |
−0.812605 | + | 0.582815i | \(0.801951\pi\) | |||||||
\(168\) | −0.188926 | − | 1.72172i | −0.0145760 | − | 0.132833i | ||||
\(169\) | 25.7062 | + | 18.6766i | 1.97740 | + | 1.43666i | ||||
\(170\) | −0.416136 | + | 0.135211i | −0.0319162 | + | 0.0103702i | ||||
\(171\) | −13.2251 | − | 11.6906i | −1.01135 | − | 0.894005i | ||||
\(172\) | 1.41684 | − | 1.95012i | 0.108033 | − | 0.148695i | ||||
\(173\) | 14.9931 | − | 10.8931i | 1.13990 | − | 0.828188i | 0.152797 | − | 0.988258i | \(-0.451172\pi\) |
0.987106 | + | 0.160069i | \(0.0511718\pi\) | |||||||
\(174\) | 8.11395 | − | 7.37332i | 0.615117 | − | 0.558970i | ||||
\(175\) | 4.97421i | 0.376015i | ||||||||
\(176\) | 2.02954 | + | 2.62316i | 0.152982 | + | 0.197728i | ||||
\(177\) | −12.4015 | + | 21.7088i | −0.932155 | + | 1.63173i | ||||
\(178\) | 14.3610 | + | 4.66616i | 1.07640 | + | 0.349743i | ||||
\(179\) | −10.7526 | − | 14.7997i | −0.803686 | − | 1.10618i | −0.992267 | − | 0.124121i | \(-0.960389\pi\) |
0.188581 | − | 0.982058i | \(-0.439611\pi\) | |||||||
\(180\) | −0.479618 | − | 0.0459777i | −0.0357486 | − | 0.00342697i | ||||
\(181\) | 0.221317 | + | 0.681143i | 0.0164503 | + | 0.0506289i | 0.958945 | − | 0.283593i | \(-0.0915265\pi\) |
−0.942494 | + | 0.334222i | \(0.891526\pi\) | |||||||
\(182\) | 2.06775 | + | 6.36388i | 0.153272 | + | 0.471722i | ||||
\(183\) | 12.7536 | − | 5.74830i | 0.942770 | − | 0.424926i | ||||
\(184\) | −1.73022 | − | 2.38144i | −0.127553 | − | 0.175562i | ||||
\(185\) | −0.0946322 | − | 0.0307479i | −0.00695750 | − | 0.00226063i | ||||
\(186\) | 12.6804 | + | 7.24391i | 0.929774 | + | 0.531150i | ||||
\(187\) | −5.52926 | − | 7.14651i | −0.404339 | − | 0.522604i | ||||
\(188\) | − | 2.66619i | − | 0.194452i | ||||||
\(189\) | −1.53773 | + | 4.96340i | −0.111854 | + | 0.361034i | ||||
\(190\) | −0.764500 | + | 0.555442i | −0.0554627 | + | 0.0402960i | ||||
\(191\) | −15.3041 | + | 21.0643i | −1.10737 | + | 1.52416i | −0.282126 | + | 0.959377i | \(0.591040\pi\) |
−0.825240 | + | 0.564782i | \(0.808960\pi\) | |||||||
\(192\) | −0.352360 | + | 1.69583i | −0.0254294 | + | 0.122386i | ||||
\(193\) | −2.38681 | + | 0.775523i | −0.171807 | + | 0.0558234i | −0.393657 | − | 0.919257i | \(-0.628790\pi\) |
0.221851 | + | 0.975081i | \(0.428790\pi\) | |||||||
\(194\) | 8.38572 | + | 6.09258i | 0.602060 | + | 0.437422i | ||||
\(195\) | 1.85028 | − | 0.203034i | 0.132501 | − | 0.0145395i | ||||
\(196\) | −0.309017 | + | 0.951057i | −0.0220726 | + | 0.0679326i | ||||
\(197\) | −7.14552 | −0.509097 | −0.254549 | − | 0.967060i | \(-0.581927\pi\) | ||||
−0.254549 | + | 0.967060i | \(0.581927\pi\) | |||||||
\(198\) | −2.44975 | − | 9.64358i | −0.174096 | − | 0.685340i | ||||
\(199\) | 12.9631 | 0.918927 | 0.459464 | − | 0.888197i | \(-0.348042\pi\) | ||||
0.459464 | + | 0.888197i | \(0.348042\pi\) | |||||||
\(200\) | 1.53711 | − | 4.73075i | 0.108690 | − | 0.334515i | ||||
\(201\) | −16.1619 | + | 1.77346i | −1.13997 | + | 0.125090i | ||||
\(202\) | −9.57177 | − | 6.95430i | −0.673467 | − | 0.489303i | ||||
\(203\) | −6.02007 | + | 1.95604i | −0.422526 | + | 0.137287i | ||||
\(204\) | 0.959966 | − | 4.62010i | 0.0672110 | − | 0.323472i | ||||
\(205\) | 0.519031 | − | 0.714386i | 0.0362507 | − | 0.0498948i | ||||
\(206\) | 0.881475 | − | 0.640429i | 0.0614153 | − | 0.0446208i | ||||
\(207\) | 1.91499 | + | 8.62074i | 0.133101 | + | 0.599183i | ||||
\(208\) | − | 6.69138i | − | 0.463964i | ||||||
\(209\) | −16.1264 | − | 10.9887i | −1.11549 | − | 0.760104i | ||||
\(210\) | 0.241542 | + | 0.137985i | 0.0166680 | + | 0.00952187i | ||||
\(211\) | −21.9899 | − | 7.14496i | −1.51385 | − | 0.491879i | −0.569828 | − | 0.821764i | \(-0.692990\pi\) |
−0.944021 | + | 0.329885i | \(0.892990\pi\) | |||||||
\(212\) | 1.52511 | + | 2.09913i | 0.104745 | + | 0.144169i | ||||
\(213\) | −16.6522 | + | 7.50551i | −1.14099 | + | 0.514269i | ||||
\(214\) | −2.57918 | − | 7.93789i | −0.176309 | − | 0.542623i | ||||
\(215\) | 0.119632 | + | 0.368188i | 0.00815881 | + | 0.0251102i | ||||
\(216\) | 2.99625 | − | 4.24529i | 0.203869 | − | 0.288855i | ||||
\(217\) | −4.95588 | − | 6.82118i | −0.336427 | − | 0.463052i | ||||
\(218\) | 0.727992 | + | 0.236539i | 0.0493058 | + | 0.0160204i | ||||
\(219\) | −0.0873627 | + | 0.152928i | −0.00590342 | + | 0.0103339i | ||||
\(220\) | −0.532426 | + | 0.0160731i | −0.0358961 | + | 0.00108364i | ||||
\(221\) | 18.2299i | 1.22628i | ||||||||
\(222\) | 0.794162 | − | 0.721672i | 0.0533007 | − | 0.0484355i | ||||
\(223\) | 6.15373 | − | 4.47095i | 0.412084 | − | 0.299397i | −0.362361 | − | 0.932038i | \(-0.618029\pi\) |
0.774445 | + | 0.632641i | \(0.218029\pi\) | |||||||
\(224\) | 0.587785 | − | 0.809017i | 0.0392731 | − | 0.0540547i | ||||
\(225\) | −9.88331 | + | 11.1806i | −0.658887 | + | 0.745370i | ||||
\(226\) | −9.89485 | + | 3.21503i | −0.658195 | + | 0.213861i | ||||
\(227\) | 19.2651 | + | 13.9969i | 1.27867 | + | 0.929009i | 0.999512 | − | 0.0312354i | \(-0.00994417\pi\) |
0.279160 | + | 0.960245i | \(0.409944\pi\) | |||||||
\(228\) | −1.11161 | − | 10.1303i | −0.0736181 | − | 0.670894i | ||||
\(229\) | −4.25896 | + | 13.1077i | −0.281440 | + | 0.866184i | 0.706003 | + | 0.708209i | \(0.250496\pi\) |
−0.987443 | + | 0.157975i | \(0.949504\pi\) | |||||||
\(230\) | 0.472762 | 0.0311730 | ||||||||
\(231\) | −0.998399 | + | 5.65714i | −0.0656898 | + | 0.372212i | ||||
\(232\) | 6.32988 | 0.415577 | ||||||||
\(233\) | −0.322037 | + | 0.991129i | −0.0210974 | + | 0.0649310i | −0.961051 | − | 0.276371i | \(-0.910868\pi\) |
0.939954 | + | 0.341302i | \(0.110868\pi\) | |||||||
\(234\) | −7.99678 | + | 18.4126i | −0.522766 | + | 1.20367i | ||||
\(235\) | 0.346424 | + | 0.251692i | 0.0225982 | + | 0.0164186i | ||||
\(236\) | −13.7281 | + | 4.46052i | −0.893621 | + | 0.290355i | ||||
\(237\) | 15.5540 | + | 3.23182i | 1.01034 | + | 0.209929i | ||||
\(238\) | −1.60136 | + | 2.20408i | −0.103800 | + | 0.142869i | ||||
\(239\) | 17.2577 | − | 12.5384i | 1.11630 | − | 0.811043i | 0.132660 | − | 0.991162i | \(-0.457648\pi\) |
0.983645 | + | 0.180119i | \(0.0576481\pi\) | |||||||
\(240\) | −0.187080 | − | 0.205872i | −0.0120760 | − | 0.0132890i | ||||
\(241\) | − | 12.2281i | − | 0.787678i | −0.919179 | − | 0.393839i | \(-0.871147\pi\) | ||
0.919179 | − | 0.393839i | \(-0.128853\pi\) | |||||||
\(242\) | −4.02406 | − | 10.2375i | −0.258676 | − | 0.658093i | ||||
\(243\) | −13.3182 | + | 8.10093i | −0.854364 | + | 0.519675i | ||||
\(244\) | 7.68134 | + | 2.49582i | 0.491747 | + | 0.159778i | ||||
\(245\) | −0.0944015 | − | 0.129933i | −0.00603109 | − | 0.00830109i | ||||
\(246\) | 3.91312 | + | 8.68191i | 0.249491 | + | 0.553539i | ||||
\(247\) | 12.1663 | + | 37.4439i | 0.774121 | + | 2.38250i | ||||
\(248\) | 2.60546 | + | 8.01878i | 0.165447 | + | 0.509193i | ||||
\(249\) | −10.1145 | − | 22.4406i | −0.640977 | − | 1.42212i | ||||
\(250\) | 0.941580 | + | 1.29597i | 0.0595508 | + | 0.0819646i | ||||
\(251\) | 0.705970 | + | 0.229384i | 0.0445604 | + | 0.0144786i | 0.331212 | − | 0.943556i | \(-0.392542\pi\) |
−0.286652 | + | 0.958035i | \(0.592542\pi\) | |||||||
\(252\) | −2.58424 | + | 1.52371i | −0.162792 | + | 0.0959844i | ||||
\(253\) | 3.29570 | + | 9.18981i | 0.207199 | + | 0.577758i | ||||
\(254\) | − | 13.6375i | − | 0.855691i | ||||||
\(255\) | 0.509679 | + | 0.560875i | 0.0319174 | + | 0.0351234i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 1.74642 | − | 2.40375i | 0.108939 | − | 0.149942i | −0.751066 | − | 0.660227i | \(-0.770460\pi\) |
0.860005 | + | 0.510285i | \(0.170460\pi\) | |||||||
\(258\) | −4.08776 | − | 0.849356i | −0.254493 | − | 0.0528786i | ||||
\(259\) | −0.589221 | + | 0.191450i | −0.0366124 | + | 0.0118961i | ||||
\(260\) | 0.869428 | + | 0.631676i | 0.0539196 | + | 0.0391749i | ||||
\(261\) | −17.4178 | − | 7.56475i | −1.07814 | − | 0.468246i | ||||
\(262\) | 2.30905 | − | 7.10652i | 0.142653 | − | 0.439042i | ||||
\(263\) | −2.16498 | −0.133499 | −0.0667493 | − | 0.997770i | \(-0.521263\pi\) | ||||
−0.0667493 | + | 0.997770i | \(0.521263\pi\) | |||||||
\(264\) | 2.69769 | − | 5.07173i | 0.166031 | − | 0.312144i | ||||
\(265\) | −0.416718 | −0.0255988 | ||||||||
\(266\) | −1.81820 | + | 5.59585i | −0.111481 | + | 0.343103i | ||||
\(267\) | −2.85279 | − | 25.9979i | −0.174588 | − | 1.59105i | ||||
\(268\) | −7.59430 | − | 5.51758i | −0.463896 | − | 0.337040i | ||||
\(269\) | −1.35856 | + | 0.441423i | −0.0828328 | + | 0.0269140i | −0.350140 | − | 0.936697i | \(-0.613866\pi\) |
0.267307 | + | 0.963611i | \(0.413866\pi\) | |||||||
\(270\) | 0.268751 | + | 0.790072i | 0.0163557 | + | 0.0480823i | ||||
\(271\) | 8.04765 | − | 11.0766i | 0.488860 | − | 0.672858i | −0.491317 | − | 0.870981i | \(-0.663484\pi\) |
0.980177 | + | 0.198123i | \(0.0634844\pi\) | |||||||
\(272\) | 2.20408 | − | 1.60136i | 0.133642 | − | 0.0970964i | ||||
\(273\) | 8.57734 | − | 7.79441i | 0.519124 | − | 0.471739i | ||||
\(274\) | − | 4.36559i | − | 0.263735i | ||||||
\(275\) | −9.28988 | + | 13.6333i | −0.560201 | + | 0.822122i | ||||
\(276\) | −2.52903 | + | 4.42705i | −0.152230 | + | 0.266477i | ||||
\(277\) | −8.82592 | − | 2.86771i | −0.530298 | − | 0.172304i | 0.0316157 | − | 0.999500i | \(-0.489935\pi\) |
−0.561914 | + | 0.827196i | \(0.689935\pi\) | |||||||
\(278\) | 12.1741 | + | 16.7562i | 0.730155 | + | 1.00497i | ||||
\(279\) | 2.41373 | − | 25.1789i | 0.144506 | − | 1.50742i | ||||
\(280\) | 0.0496298 | + | 0.152745i | 0.00296595 | + | 0.00912825i | ||||
\(281\) | 4.04096 | + | 12.4368i | 0.241064 | + | 0.741918i | 0.996259 | + | 0.0864177i | \(0.0275420\pi\) |
−0.755195 | + | 0.655500i | \(0.772458\pi\) | |||||||
\(282\) | −4.21009 | + | 1.89758i | −0.250707 | + | 0.112999i | ||||
\(283\) | −8.51009 | − | 11.7131i | −0.505873 | − | 0.696274i | 0.477344 | − | 0.878717i | \(-0.341600\pi\) |
−0.983216 | + | 0.182443i | \(0.941600\pi\) | |||||||
\(284\) | −10.0295 | − | 3.25877i | −0.595139 | − | 0.193372i | ||||
\(285\) | 1.42119 | + | 0.811879i | 0.0841840 | + | 0.0480916i | ||||
\(286\) | −6.21794 | + | 21.3039i | −0.367675 | + | 1.25973i | ||||
\(287\) | − | 5.49813i | − | 0.324544i | ||||||
\(288\) | 2.92861 | − | 0.650555i | 0.172570 | − | 0.0383343i | ||||
\(289\) | 7.74853 | − | 5.62964i | 0.455796 | − | 0.331155i | ||||
\(290\) | −0.597550 | + | 0.822457i | −0.0350893 | + | 0.0482963i | ||||
\(291\) | 3.65233 | − | 17.5778i | 0.214103 | − | 1.03043i | ||||
\(292\) | −0.0967077 | + | 0.0314222i | −0.00565939 | + | 0.00183885i | ||||
\(293\) | 6.56633 | + | 4.77072i | 0.383609 | + | 0.278708i | 0.762832 | − | 0.646597i | \(-0.223809\pi\) |
−0.379223 | + | 0.925305i | \(0.623809\pi\) | |||||||
\(294\) | 1.72172 | − | 0.188926i | 0.100413 | − | 0.0110184i | ||||
\(295\) | 0.716384 | − | 2.20480i | 0.0417095 | − | 0.128369i | ||||
\(296\) | 0.619544 | 0.0360103 | ||||||||
\(297\) | −13.4843 | + | 10.7318i | −0.782441 | + | 0.622725i | ||||
\(298\) | −2.98726 | −0.173047 | ||||||||
\(299\) | 6.08668 | − | 18.7329i | 0.352002 | − | 1.08335i | ||||
\(300\) | −8.56417 | + | 0.939758i | −0.494453 | + | 0.0542569i | ||||
\(301\) | 1.95012 | + | 1.41684i | 0.112403 | + | 0.0816655i | ||||
\(302\) | 0.144007 | − | 0.0467906i | 0.00828665 | − | 0.00269250i | ||||
\(303\) | −4.16890 | + | 20.0640i | −0.239497 | + | 1.15265i | ||||
\(304\) | 3.45842 | − | 4.76011i | 0.198354 | − | 0.273011i | ||||
\(305\) | −1.04942 | + | 0.762447i | −0.0600895 | + | 0.0436576i | ||||
\(306\) | −7.97868 | + | 1.77236i | −0.456111 | + | 0.101319i | ||||
\(307\) | − | 20.9851i | − | 1.19769i | −0.800867 | − | 0.598843i | \(-0.795627\pi\) | ||
0.800867 | − | 0.598843i | \(-0.204373\pi\) | |||||||
\(308\) | −2.62316 | + | 2.02954i | −0.149468 | + | 0.115644i | ||||
\(309\) | −1.63864 | − | 0.936103i | −0.0932192 | − | 0.0532531i | ||||
\(310\) | −1.28786 | − | 0.418451i | −0.0731455 | − | 0.0237664i | ||||
\(311\) | −4.45601 | − | 6.13317i | −0.252677 | − | 0.347780i | 0.663770 | − | 0.747937i | \(-0.268956\pi\) |
−0.916447 | + | 0.400157i | \(0.868956\pi\) | |||||||
\(312\) | −10.5661 | + | 4.76238i | −0.598190 | + | 0.269617i | ||||
\(313\) | −0.203328 | − | 0.625778i | −0.0114928 | − | 0.0353710i | 0.945146 | − | 0.326649i | \(-0.105920\pi\) |
−0.956638 | + | 0.291278i | \(0.905920\pi\) | |||||||
\(314\) | −0.549663 | − | 1.69169i | −0.0310193 | − | 0.0954676i | ||||
\(315\) | 0.0459777 | − | 0.479618i | 0.00259055 | − | 0.0270234i | ||||
\(316\) | 5.39112 | + | 7.42024i | 0.303274 | + | 0.417421i | ||||
\(317\) | −16.2965 | − | 5.29505i | −0.915302 | − | 0.297400i | −0.186764 | − | 0.982405i | \(-0.559800\pi\) |
−0.728538 | + | 0.685005i | \(0.759800\pi\) | |||||||
\(318\) | 2.22922 | − | 3.90224i | 0.125008 | − | 0.218827i | ||||
\(319\) | −20.1530 | − | 5.88202i | −1.12835 | − | 0.329330i | ||||
\(320\) | − | 0.160605i | − | 0.00897812i | ||||||
\(321\) | −10.6988 | + | 9.72224i | −0.597150 | + | 0.542643i | ||||
\(322\) | 2.38144 | − | 1.73022i | 0.132713 | − | 0.0964214i | ||||
\(323\) | −9.42209 | + | 12.9684i | −0.524259 | + | 0.721581i | ||||
\(324\) | −8.83609 | − | 1.70982i | −0.490894 | − | 0.0949903i | ||||
\(325\) | 31.6552 | − | 10.2854i | 1.75592 | − | 0.570532i | ||||
\(326\) | −13.9082 | − | 10.1049i | −0.770305 | − | 0.559660i | ||||
\(327\) | −0.144615 | − | 1.31790i | −0.00799721 | − | 0.0728799i | ||||
\(328\) | −1.69901 | + | 5.22903i | −0.0938124 | + | 0.288725i | ||||
\(329\) | 2.66619 | 0.146992 | ||||||||
\(330\) | 0.404318 | + | 0.829297i | 0.0222570 | + | 0.0456513i | ||||
\(331\) | 11.6127 | 0.638293 | 0.319147 | − | 0.947705i | \(-0.396604\pi\) | ||||
0.319147 | + | 0.947705i | \(0.396604\pi\) | |||||||
\(332\) | 4.39153 | − | 13.5157i | 0.241017 | − | 0.741773i | ||||
\(333\) | −1.70479 | − | 0.740409i | −0.0934219 | − | 0.0405741i | ||||
\(334\) | 16.8406 | + | 12.2354i | 0.921475 | + | 0.669491i | ||||
\(335\) | 1.43383 | − | 0.465879i | 0.0783383 | − | 0.0254537i | ||||
\(336\) | −1.69583 | − | 0.352360i | −0.0925152 | − | 0.0192228i | ||||
\(337\) | 10.2525 | − | 14.1114i | 0.558492 | − | 0.768698i | −0.432642 | − | 0.901566i | \(-0.642419\pi\) |
0.991134 | + | 0.132868i | \(0.0424186\pi\) | |||||||
\(338\) | 25.7062 | − | 18.6766i | 1.39823 | − | 1.01587i | ||||
\(339\) | 12.1191 | + | 13.3364i | 0.658219 | + | 0.724336i | ||||
\(340\) | 0.437552i | 0.0237296i | ||||||||
\(341\) | −0.843801 | − | 27.9512i | −0.0456944 | − | 1.51364i | ||||
\(342\) | −15.2052 | + | 8.96521i | −0.822205 | + | 0.484783i | ||||
\(343\) | −0.951057 | − | 0.309017i | −0.0513522 | − | 0.0166853i | ||||
\(344\) | −1.41684 | − | 1.95012i | −0.0763911 | − | 0.105143i | ||||
\(345\) | −0.336474 | − | 0.746524i | −0.0181152 | − | 0.0401915i | ||||
\(346\) | −5.72685 | − | 17.6254i | −0.307877 | − | 0.947549i | ||||
\(347\) | −3.71644 | − | 11.4380i | −0.199509 | − | 0.614025i | −0.999894 | − | 0.0145394i | \(-0.995372\pi\) |
0.800385 | − | 0.599486i | \(-0.204628\pi\) | |||||||
\(348\) | −4.50509 | − | 9.99531i | −0.241498 | − | 0.535805i | ||||
\(349\) | 5.97931 | + | 8.22981i | 0.320065 | + | 0.440532i | 0.938487 | − | 0.345315i | \(-0.112228\pi\) |
−0.618422 | + | 0.785846i | \(0.712228\pi\) | |||||||
\(350\) | 4.73075 | + | 1.53711i | 0.252869 | + | 0.0821622i | ||||
\(351\) | 34.7662 | − | 0.477122i | 1.85568 | − | 0.0254669i | ||||
\(352\) | 3.12194 | − | 1.11961i | 0.166400 | − | 0.0596752i | ||||
\(353\) | − | 9.39359i | − | 0.499970i | −0.968250 | − | 0.249985i | \(-0.919574\pi\) | ||
0.968250 | − | 0.249985i | \(-0.0804257\pi\) | |||||||
\(354\) | 16.8140 | + | 18.5029i | 0.893654 | + | 0.983419i | ||||
\(355\) | 1.37022 | − | 0.995521i | 0.0727236 | − | 0.0528368i | ||||
\(356\) | 8.87556 | − | 12.2162i | 0.470404 | − | 0.647455i | ||||
\(357\) | 4.62010 | + | 0.959966i | 0.244522 | + | 0.0508068i | ||||
\(358\) | −17.3980 | + | 5.65297i | −0.919515 | + | 0.298769i | ||||
\(359\) | −17.8080 | − | 12.9382i | −0.939869 | − | 0.682855i | 0.00852040 | − | 0.999964i | \(-0.497288\pi\) |
−0.948389 | + | 0.317109i | \(0.897288\pi\) | |||||||
\(360\) | −0.191937 | + | 0.441936i | −0.0101160 | + | 0.0232921i | ||||
\(361\) | −4.82665 | + | 14.8549i | −0.254034 | + | 0.781837i | ||||
\(362\) | 0.716196 | 0.0376424 | ||||||||
\(363\) | −13.3017 | + | 13.6405i | −0.698161 | + | 0.715941i | ||||
\(364\) | 6.69138 | 0.350724 | ||||||||
\(365\) | 0.00504658 | − | 0.0155318i | 0.000264150 | − | 0.000812971i | ||||
\(366\) | −1.52589 | − | 13.9057i | −0.0797595 | − | 0.726862i | ||||
\(367\) | 13.6048 | + | 9.88448i | 0.710166 | + | 0.515966i | 0.883227 | − | 0.468945i | \(-0.155366\pi\) |
−0.173061 | + | 0.984911i | \(0.555366\pi\) | |||||||
\(368\) | −2.79955 | + | 0.909630i | −0.145937 | + | 0.0474178i | ||||
\(369\) | 10.9243 | − | 12.3582i | 0.568696 | − | 0.643341i | ||||
\(370\) | −0.0584859 | + | 0.0804989i | −0.00304054 | + | 0.00418494i | ||||
\(371\) | −2.09913 | + | 1.52511i | −0.108981 | + | 0.0791796i | ||||
\(372\) | 10.8078 | − | 9.82131i | 0.560360 | − | 0.509211i | ||||
\(373\) | − | 11.6100i | − | 0.601145i | −0.953759 | − | 0.300572i | \(-0.902822\pi\) | ||
0.953759 | − | 0.300572i | \(-0.0971777\pi\) | |||||||
\(374\) | −8.50536 | + | 3.05024i | −0.439802 | + | 0.157724i | ||||
\(375\) | 1.37629 | − | 2.40919i | 0.0710713 | − | 0.124410i | ||||
\(376\) | −2.53569 | − | 0.823897i | −0.130768 | − | 0.0424892i | ||||
\(377\) | 24.8960 | + | 34.2664i | 1.28221 | + | 1.76481i | ||||
\(378\) | 4.24529 | + | 2.99625i | 0.218354 | + | 0.154110i | ||||
\(379\) | 5.02873 | + | 15.4768i | 0.258308 | + | 0.794992i | 0.993160 | + | 0.116763i | \(0.0372519\pi\) |
−0.734851 | + | 0.678228i | \(0.762748\pi\) | |||||||
\(380\) | 0.292013 | + | 0.898724i | 0.0149800 | + | 0.0461036i | ||||
\(381\) | −21.5345 | + | 9.70605i | −1.10325 | + | 0.497256i | ||||
\(382\) | 15.3041 | + | 21.0643i | 0.783026 | + | 1.07774i | ||||
\(383\) | −14.2826 | − | 4.64070i | −0.729807 | − | 0.237129i | −0.0795372 | − | 0.996832i | \(-0.525344\pi\) |
−0.650270 | + | 0.759703i | \(0.725344\pi\) | |||||||
\(384\) | 1.50395 | + | 0.859155i | 0.0767479 | + | 0.0438436i | ||||
\(385\) | −0.0160731 | − | 0.532426i | −0.000819159 | − | 0.0271349i | ||||
\(386\) | 2.50964i | 0.127738i | ||||||||
\(387\) | 1.56815 | + | 7.05936i | 0.0797134 | + | 0.358847i | ||||
\(388\) | 8.38572 | − | 6.09258i | 0.425720 | − | 0.309304i | ||||
\(389\) | 1.76075 | − | 2.42346i | 0.0892736 | − | 0.122875i | −0.762044 | − | 0.647525i | \(-0.775804\pi\) |
0.851318 | + | 0.524651i | \(0.175804\pi\) | |||||||
\(390\) | 0.378672 | − | 1.82246i | 0.0191748 | − | 0.0922840i | ||||
\(391\) | 7.62707 | − | 2.47819i | 0.385718 | − | 0.125327i | ||||
\(392\) | 0.809017 | + | 0.587785i | 0.0408615 | + | 0.0296876i | ||||
\(393\) | −12.8651 | + | 1.41170i | −0.648957 | + | 0.0712109i | ||||
\(394\) | −2.20809 | + | 6.79580i | −0.111242 | + | 0.342367i | ||||
\(395\) | −1.47306 | −0.0741177 | ||||||||
\(396\) | −9.92861 | − | 0.650178i | −0.498931 | − | 0.0326727i | ||||
\(397\) | 8.11214 | 0.407137 | 0.203568 | − | 0.979061i | \(-0.434746\pi\) | ||||
0.203568 | + | 0.979061i | \(0.434746\pi\) | |||||||
\(398\) | 4.00581 | − | 12.3286i | 0.200793 | − | 0.617977i | ||||
\(399\) | 10.1303 | − | 1.11161i | 0.507148 | − | 0.0556500i | ||||
\(400\) | −4.02422 | − | 2.92376i | −0.201211 | − | 0.146188i | ||||
\(401\) | 30.8478 | − | 10.0231i | 1.54047 | − | 0.500528i | 0.588962 | − | 0.808161i | \(-0.299537\pi\) |
0.951505 | + | 0.307633i | \(0.0995368\pi\) | |||||||
\(402\) | −3.30763 | + | 15.9189i | −0.164970 | + | 0.793962i | ||||
\(403\) | −33.1617 | + | 45.6431i | −1.65190 | + | 2.27364i | ||||
\(404\) | −9.57177 | + | 6.95430i | −0.476213 | + | 0.345989i | ||||
\(405\) | 1.05630 | − | 0.986686i | 0.0524881 | − | 0.0490288i | ||||
\(406\) | 6.32988i | 0.314147i | ||||||||
\(407\) | −1.97250 | − | 0.575709i | −0.0977730 | − | 0.0285369i | ||||
\(408\) | −4.09733 | − | 2.34067i | −0.202848 | − | 0.115881i | ||||
\(409\) | 24.0621 | + | 7.81825i | 1.18979 | + | 0.386587i | 0.835997 | − | 0.548735i | \(-0.184890\pi\) |
0.353797 | + | 0.935322i | \(0.384890\pi\) | |||||||
\(410\) | −0.519031 | − | 0.714386i | −0.0256331 | − | 0.0352810i | ||||
\(411\) | −6.89356 | + | 3.10707i | −0.340034 | + | 0.153261i | ||||
\(412\) | −0.336693 | − | 1.03624i | −0.0165877 | − | 0.0510517i | ||||
\(413\) | −4.46052 | − | 13.7281i | −0.219488 | − | 0.675514i | ||||
\(414\) | 8.79058 | + | 0.842693i | 0.432033 | + | 0.0414161i | ||||
\(415\) | 1.34157 | + | 1.84651i | 0.0658550 | + | 0.0906416i | ||||
\(416\) | −6.36388 | − | 2.06775i | −0.312015 | − | 0.101380i | ||||
\(417\) | 17.7947 | − | 31.1495i | 0.871410 | − | 1.52540i | ||||
\(418\) | −15.4342 | + | 11.9415i | −0.754912 | + | 0.584076i | ||||
\(419\) | 3.94839i | 0.192892i | 0.995338 | + | 0.0964458i | \(0.0307475\pi\) | ||||
−0.995338 | + | 0.0964458i | \(0.969253\pi\) | |||||||
\(420\) | 0.205872 | − | 0.187080i | 0.0100455 | − | 0.00912858i | ||||
\(421\) | −21.4274 | + | 15.5679i | −1.04431 | + | 0.758733i | −0.971121 | − | 0.238586i | \(-0.923316\pi\) |
−0.0731846 | + | 0.997318i | \(0.523316\pi\) | |||||||
\(422\) | −13.5905 | + | 18.7057i | −0.661576 | + | 0.910582i | ||||
\(423\) | 5.99280 | + | 5.29748i | 0.291380 | + | 0.257572i | ||||
\(424\) | 2.46767 | − | 0.801796i | 0.119841 | − | 0.0389387i | ||||
\(425\) | 10.9635 | + | 7.96547i | 0.531809 | + | 0.386382i | ||||
\(426\) | 1.99234 | + | 18.1565i | 0.0965292 | + | 0.879687i | ||||
\(427\) | −2.49582 | + | 7.68134i | −0.120781 | + | 0.371726i | ||||
\(428\) | −8.34639 | −0.403438 | ||||||||
\(429\) | 38.0658 | − | 5.34385i | 1.83783 | − | 0.258004i | ||||
\(430\) | 0.387136 | 0.0186694 | ||||||||
\(431\) | 11.3955 | − | 35.0716i | 0.548900 | − | 1.68934i | −0.162631 | − | 0.986687i | \(-0.551998\pi\) |
0.711531 | − | 0.702655i | \(-0.248002\pi\) | |||||||
\(432\) | −3.11162 | − | 4.16147i | −0.149708 | − | 0.200219i | ||||
\(433\) | −17.7907 | − | 12.9257i | −0.854966 | − | 0.621169i | 0.0715448 | − | 0.997437i | \(-0.477207\pi\) |
−0.926511 | + | 0.376268i | \(0.877207\pi\) | |||||||
\(434\) | −8.01878 | + | 2.60546i | −0.384914 | + | 0.125066i | ||||
\(435\) | 1.72400 | + | 0.358214i | 0.0826596 | + | 0.0171750i | ||||
\(436\) | 0.449924 | − | 0.619267i | 0.0215474 | − | 0.0296575i | ||||
\(437\) | 14.0120 | − | 10.1803i | 0.670284 | − | 0.486990i | ||||
\(438\) | 0.118447 | + | 0.130344i | 0.00565959 | + | 0.00622809i | ||||
\(439\) | − | 0.987382i | − | 0.0471252i | −0.999722 | − | 0.0235626i | \(-0.992499\pi\) | ||
0.999722 | − | 0.0235626i | \(-0.00750090\pi\) | |||||||
\(440\) | −0.149242 | + | 0.511334i | −0.00711484 | + | 0.0243769i | ||||
\(441\) | −1.52371 | − | 2.58424i | −0.0725574 | − | 0.123059i | ||||
\(442\) | 17.3377 | + | 5.63335i | 0.824669 | + | 0.267951i | ||||
\(443\) | 5.42049 | + | 7.46066i | 0.257535 | + | 0.354467i | 0.918132 | − | 0.396274i | \(-0.129697\pi\) |
−0.660597 | + | 0.750740i | \(0.729697\pi\) | |||||||
\(444\) | −0.440941 | − | 0.978302i | −0.0209261 | − | 0.0464282i | ||||
\(445\) | 0.749411 | + | 2.30645i | 0.0355255 | + | 0.109336i | ||||
\(446\) | −2.35051 | − | 7.23414i | −0.111300 | − | 0.342547i | ||||
\(447\) | 2.12609 | + | 4.71709i | 0.100561 | + | 0.223111i | ||||
\(448\) | −0.587785 | − | 0.809017i | −0.0277702 | − | 0.0382225i | ||||
\(449\) | 28.6076 | + | 9.29517i | 1.35008 | + | 0.438666i | 0.892718 | − | 0.450617i | \(-0.148796\pi\) |
0.457358 | + | 0.889283i | \(0.348796\pi\) | |||||||
\(450\) | 7.57923 | + | 12.8546i | 0.357288 | + | 0.605970i | ||||
\(451\) | 10.2684 | − | 15.0693i | 0.483518 | − | 0.709586i | ||||
\(452\) | 10.4041i | 0.489366i | ||||||||
\(453\) | −0.176378 | − | 0.194095i | −0.00828695 | − | 0.00911936i | ||||
\(454\) | 19.2651 | − | 13.9969i | 0.904157 | − | 0.656909i | ||||
\(455\) | −0.631676 | + | 0.869428i | −0.0296134 | + | 0.0407594i | ||||
\(456\) | −9.97797 | − | 2.07322i | −0.467261 | − | 0.0970876i | ||||
\(457\) | −13.0274 | + | 4.23287i | −0.609398 | + | 0.198005i | −0.597427 | − | 0.801923i | \(-0.703810\pi\) |
−0.0119705 | + | 0.999928i | \(0.503810\pi\) | |||||||
\(458\) | 11.1501 | + | 8.10103i | 0.521010 | + | 0.378536i | ||||
\(459\) | 8.47726 | + | 11.3375i | 0.395685 | + | 0.529187i | ||||
\(460\) | 0.146092 | − | 0.449624i | 0.00681156 | − | 0.0209638i | ||||
\(461\) | 2.00605 | 0.0934310 | 0.0467155 | − | 0.998908i | \(-0.485125\pi\) | ||||
0.0467155 | + | 0.998908i | \(0.485125\pi\) | |||||||
\(462\) | 5.07173 | + | 2.69769i | 0.235958 | + | 0.125508i | ||||
\(463\) | −22.4838 | −1.04491 | −0.522456 | − | 0.852666i | \(-0.674984\pi\) | ||||
−0.522456 | + | 0.852666i | \(0.674984\pi\) | |||||||
\(464\) | 1.95604 | − | 6.02007i | 0.0908069 | − | 0.279475i | ||||
\(465\) | 0.255832 | + | 2.33144i | 0.0118639 | + | 0.108118i | ||||
\(466\) | 0.843104 | + | 0.612551i | 0.0390561 | + | 0.0283759i | ||||
\(467\) | −14.7956 | + | 4.80739i | −0.684659 | + | 0.222459i | −0.630634 | − | 0.776080i | \(-0.717205\pi\) |
−0.0540251 | + | 0.998540i | \(0.517205\pi\) | |||||||
\(468\) | 15.0403 | + | 13.2952i | 0.695236 | + | 0.614570i | ||||
\(469\) | 5.51758 | − | 7.59430i | 0.254778 | − | 0.350672i | ||||
\(470\) | 0.346424 | − | 0.251692i | 0.0159794 | − | 0.0116097i | ||||
\(471\) | −2.28009 | + | 2.07196i | −0.105061 | + | 0.0954711i | ||||
\(472\) | 14.4345i | 0.664404i | ||||||||
\(473\) | 2.69879 | + | 7.52536i | 0.124090 | + | 0.346016i | ||||
\(474\) | 7.88010 | − | 13.7941i | 0.361945 | − | 0.633582i | ||||
\(475\) | 27.8349 | + | 9.04411i | 1.27715 | + | 0.414972i | ||||
\(476\) | 1.60136 | + | 2.20408i | 0.0733980 | + | 0.101024i | ||||
\(477\) | −7.74848 | − | 0.742794i | −0.354778 | − | 0.0340102i | ||||
\(478\) | −6.59184 | − | 20.2876i | −0.301504 | − | 0.927933i | ||||
\(479\) | 7.65871 | + | 23.5711i | 0.349935 | + | 1.07699i | 0.958888 | + | 0.283784i | \(0.0915898\pi\) |
−0.608953 | + | 0.793206i | \(0.708410\pi\) | |||||||
\(480\) | −0.253607 | + | 0.114306i | −0.0115755 | + | 0.00521733i | ||||
\(481\) | 2.43673 | + | 3.35386i | 0.111105 | + | 0.152923i | ||||
\(482\) | −11.6296 | − | 3.77868i | −0.529712 | − | 0.172114i | ||||
\(483\) | −4.42705 | − | 2.52903i | −0.201438 | − | 0.115075i | ||||
\(484\) | −10.9800 | + | 0.663539i | −0.499089 | + | 0.0301609i | ||||
\(485\) | 1.66473i | 0.0755914i | ||||||||
\(486\) | 3.58888 | + | 15.1697i | 0.162795 | + | 0.688112i | ||||
\(487\) | 18.9050 | − | 13.7353i | 0.856667 | − | 0.622405i | −0.0703088 | − | 0.997525i | \(-0.522398\pi\) |
0.926976 | + | 0.375120i | \(0.122398\pi\) | |||||||
\(488\) | 4.74733 | − | 6.53414i | 0.214901 | − | 0.295787i | ||||
\(489\) | −6.05760 | + | 29.1539i | −0.273934 | + | 1.31838i | ||||
\(490\) | −0.152745 | + | 0.0496298i | −0.00690031 | + | 0.00224205i | ||||
\(491\) | 11.4997 | + | 8.35505i | 0.518976 | + | 0.377058i | 0.816218 | − | 0.577744i | \(-0.196067\pi\) |
−0.297242 | + | 0.954802i | \(0.596067\pi\) | |||||||
\(492\) | 9.46621 | − | 1.03874i | 0.426770 | − | 0.0468300i | ||||
\(493\) | −5.32901 | + | 16.4010i | −0.240007 | + | 0.738664i | ||||
\(494\) | 39.3709 | 1.77138 | ||||||||
\(495\) | 1.02176 | − | 1.22867i | 0.0459245 | − | 0.0552247i | ||||
\(496\) | 8.43144 | 0.378583 | ||||||||
\(497\) | 3.25877 | − | 10.0295i | 0.146176 | − | 0.449883i | ||||
\(498\) | −24.4678 | + | 2.68489i | −1.09643 | + | 0.120313i | ||||
\(499\) | 31.5546 | + | 22.9258i | 1.41258 | + | 1.02630i | 0.992941 | + | 0.118606i | \(0.0378424\pi\) |
0.419636 | + | 0.907692i | \(0.362158\pi\) | |||||||
\(500\) | 1.52351 | − | 0.495018i | 0.0681334 | − | 0.0221379i | ||||
\(501\) | 7.33476 | − | 35.3006i | 0.327693 | − | 1.57711i | ||||
\(502\) | 0.436314 | − | 0.600534i | 0.0194736 | − | 0.0268031i | ||||
\(503\) | 11.0554 | − | 8.03224i | 0.492937 | − | 0.358140i | −0.313376 | − | 0.949629i | \(-0.601460\pi\) |
0.806313 | + | 0.591489i | \(0.201460\pi\) | |||||||
\(504\) | 0.650555 | + | 2.92861i | 0.0289780 | + | 0.130451i | ||||
\(505\) | − | 1.90018i | − | 0.0845569i | ||||||
\(506\) | 9.75846 | − | 0.294592i | 0.433816 | − | 0.0130962i | ||||
\(507\) | −47.7872 | − | 27.2993i | −2.12230 | − | 1.21240i | ||||
\(508\) | −12.9700 | − | 4.21421i | −0.575451 | − | 0.186975i | ||||
\(509\) | 0.328071 | + | 0.451551i | 0.0145415 | + | 0.0200146i | 0.816226 | − | 0.577733i | \(-0.196062\pi\) |
−0.801684 | + | 0.597748i | \(0.796062\pi\) | |||||||
\(510\) | 0.690924 | − | 0.311414i | 0.0305946 | − | 0.0137896i | ||||
\(511\) | −0.0314222 | − | 0.0967077i | −0.00139004 | − | 0.00427810i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | 24.9785 | + | 17.6294i | 1.10283 | + | 0.778357i | ||||
\(514\) | −1.74642 | − | 2.40375i | −0.0770314 | − | 0.106025i | ||||
\(515\) | 0.166425 | + | 0.0540748i | 0.00733357 | + | 0.00238282i | ||||
\(516\) | −2.07097 | + | 3.62523i | −0.0911695 | + | 0.159592i | ||||
\(517\) | 7.30750 | + | 4.97940i | 0.321384 | + | 0.218994i | ||||
\(518\) | 0.619544i | 0.0272212i | ||||||||
\(519\) | −23.7558 | + | 21.5874i | −1.04277 | + | 0.947583i | ||||
\(520\) | 0.869428 | − | 0.631676i | 0.0381269 | − | 0.0277008i | ||||
\(521\) | −10.1785 | + | 14.0094i | −0.445926 | + | 0.613765i | −0.971516 | − | 0.236973i | \(-0.923845\pi\) |
0.525590 | + | 0.850738i | \(0.323845\pi\) | |||||||
\(522\) | −12.5769 | + | 14.2277i | −0.550476 | + | 0.622730i | ||||
\(523\) | 3.75620 | − | 1.22046i | 0.164247 | − | 0.0533672i | −0.225739 | − | 0.974188i | \(-0.572480\pi\) |
0.389986 | + | 0.920821i | \(0.372480\pi\) | |||||||
\(524\) | −6.04517 | − | 4.39207i | −0.264084 | − | 0.191868i | ||||
\(525\) | −0.939758 | − | 8.56417i | −0.0410144 | − | 0.373771i | ||||
\(526\) | −0.669016 | + | 2.05902i | −0.0291705 | + | 0.0897776i | ||||
\(527\) | −22.9705 | −1.00061 | ||||||||
\(528\) | −3.98988 | − | 4.13290i | −0.173637 | − | 0.179862i | ||||
\(529\) | 14.3351 | 0.623264 | ||||||||
\(530\) | −0.128773 | + | 0.396322i | −0.00559353 | + | 0.0172151i | ||||
\(531\) | 17.2505 | − | 39.7193i | 0.748609 | − | 1.72367i | ||||
\(532\) | 4.76011 | + | 3.45842i | 0.206377 | + | 0.149942i | ||||
\(533\) | −34.9894 | + | 11.3687i | −1.51556 | + | 0.492435i | ||||
\(534\) | −25.6071 | − | 5.32064i | −1.10813 | − | 0.230247i | ||||
\(535\) | 0.787912 | − | 1.08447i | 0.0340644 | − | 0.0468856i | ||||
\(536\) | −7.59430 | + | 5.51758i | −0.328024 | + | 0.238323i | ||||
\(537\) | 21.3089 | + | 23.4494i | 0.919549 | + | 1.01192i | ||||
\(538\) | 1.42847i | 0.0615859i | ||||||||
\(539\) | −2.02954 | − | 2.62316i | −0.0874185 | − | 0.112987i | ||||
\(540\) | 0.834452 | − | 0.0114518i | 0.0359091 | − | 0.000492808i | ||||
\(541\) | −2.19061 | − | 0.711774i | −0.0941819 | − | 0.0306015i | 0.261547 | − | 0.965191i | \(-0.415767\pi\) |
−0.355729 | + | 0.934589i | \(0.615767\pi\) | |||||||
\(542\) | −8.04765 | − | 11.0766i | −0.345676 | − | 0.475783i | ||||
\(543\) | −0.509730 | − | 1.13092i | −0.0218746 | − | 0.0485325i | ||||
\(544\) | −0.841882 | − | 2.59105i | −0.0360954 | − | 0.111090i | ||||
\(545\) | 0.0379894 | + | 0.116919i | 0.00162729 | + | 0.00500828i | ||||
\(546\) | −4.76238 | − | 10.5661i | −0.203811 | − | 0.452189i | ||||
\(547\) | −10.3976 | − | 14.3110i | −0.444568 | − | 0.611895i | 0.526652 | − | 0.850081i | \(-0.323447\pi\) |
−0.971219 | + | 0.238186i | \(0.923447\pi\) | |||||||
\(548\) | −4.15192 | − | 1.34904i | −0.177361 | − | 0.0576281i | ||||
\(549\) | −20.8720 | + | 12.3064i | −0.890796 | + | 0.525225i | ||||
\(550\) | 10.0954 | + | 13.0481i | 0.430467 | + | 0.556374i | ||||
\(551\) | 37.2439i | 1.58664i | ||||||||
\(552\) | 3.42886 | + | 3.77329i | 0.145942 | + | 0.160602i | ||||
\(553\) | −7.42024 | + | 5.39112i | −0.315541 | + | 0.229254i | ||||
\(554\) | −5.45472 | + | 7.50777i | −0.231749 | + | 0.318975i | ||||
\(555\) | 0.168739 | + | 0.0350606i | 0.00716257 | + | 0.00148824i | ||||
\(556\) | 19.6981 | − | 6.40031i | 0.835387 | − | 0.271434i | ||||
\(557\) | −19.5079 | − | 14.1733i | −0.826575 | − | 0.600542i | 0.0920130 | − | 0.995758i | \(-0.470670\pi\) |
−0.918588 | + | 0.395216i | \(0.870670\pi\) | |||||||
\(558\) | −23.2007 | − | 10.0763i | −0.982163 | − | 0.426564i | ||||
\(559\) | 4.98427 | − | 15.3400i | 0.210812 | − | 0.648813i | ||||
\(560\) | 0.160605 | 0.00678682 | ||||||||
\(561\) | 10.8700 | + | 11.2596i | 0.458931 | + | 0.475382i | ||||
\(562\) | 13.0768 | 0.551613 | ||||||||
\(563\) | −3.90298 | + | 12.0121i | −0.164491 | + | 0.506251i | −0.998998 | − | 0.0447455i | \(-0.985752\pi\) |
0.834507 | + | 0.550997i | \(0.185752\pi\) | |||||||
\(564\) | 0.503712 | + | 4.59042i | 0.0212101 | + | 0.193291i | ||||
\(565\) | −1.35183 | − | 0.982159i | −0.0568717 | − | 0.0413197i | ||||
\(566\) | −13.7696 | + | 4.47402i | −0.578780 | + | 0.188057i | ||||
\(567\) | 1.70982 | − | 8.83609i | 0.0718059 | − | 0.371081i | ||||
\(568\) | −6.19855 | + | 8.53157i | −0.260085 | + | 0.357977i | ||||
\(569\) | 5.85782 | − | 4.25595i | 0.245572 | − | 0.178419i | −0.458190 | − | 0.888854i | \(-0.651502\pi\) |
0.703762 | + | 0.710436i | \(0.251502\pi\) | |||||||
\(570\) | 1.21131 | − | 1.10075i | 0.0507364 | − | 0.0461052i | ||||
\(571\) | − | 23.6249i | − | 0.988672i | −0.869271 | − | 0.494336i | \(-0.835411\pi\) | ||
0.869271 | − | 0.494336i | \(-0.164589\pi\) | |||||||
\(572\) | 18.3398 | + | 12.4969i | 0.766825 | + | 0.522521i | ||||
\(573\) | 22.3697 | − | 39.1581i | 0.934509 | − | 1.63585i | ||||
\(574\) | −5.22903 | − | 1.69901i | −0.218255 | − | 0.0709155i | ||||
\(575\) | −8.60647 | − | 11.8458i | −0.358915 | − | 0.494004i | ||||
\(576\) | 0.286277 | − | 2.98631i | 0.0119282 | − | 0.124430i | ||||
\(577\) | −7.52191 | − | 23.1501i | −0.313141 | − | 0.963749i | −0.976513 | − | 0.215459i | \(-0.930875\pi\) |
0.663372 | − | 0.748290i | \(-0.269125\pi\) | |||||||
\(578\) | −2.95967 | − | 9.10894i | −0.123106 | − | 0.378882i | ||||
\(579\) | 3.96290 | − | 1.78616i | 0.164692 | − | 0.0742304i | ||||
\(580\) | 0.597550 | + | 0.822457i | 0.0248119 | + | 0.0341507i | ||||
\(581\) | 13.5157 | + | 4.39153i | 0.560728 | + | 0.182191i | ||||
\(582\) | −15.5889 | − | 8.90542i | −0.646180 | − | 0.369141i | ||||
\(583\) | −8.60162 | + | 0.259669i | −0.356243 | + | 0.0107544i | ||||
\(584\) | 0.101684i | 0.00420773i | ||||||||
\(585\) | −3.14730 | + | 0.699133i | −0.130125 | + | 0.0289056i | ||||
\(586\) | 6.56633 | − | 4.77072i | 0.271253 | − | 0.197077i | ||||
\(587\) | −10.3759 | + | 14.2812i | −0.428259 | + | 0.589447i | −0.967552 | − | 0.252670i | \(-0.918691\pi\) |
0.539294 | + | 0.842118i | \(0.318691\pi\) | |||||||
\(588\) | 0.352360 | − | 1.69583i | 0.0145311 | − | 0.0699349i | ||||
\(589\) | −47.1811 | + | 15.3301i | −1.94406 | + | 0.631664i | ||||
\(590\) | −1.87552 | − | 1.36264i | −0.0772138 | − | 0.0560991i | ||||
\(591\) | 12.3026 | − | 1.34998i | 0.506060 | − | 0.0555306i | ||||
\(592\) | 0.191450 | − | 0.589221i | 0.00786853 | − | 0.0242169i | ||||
\(593\) | −22.6256 | −0.929122 | −0.464561 | − | 0.885541i | \(-0.653788\pi\) | ||||
−0.464561 | + | 0.885541i | \(0.653788\pi\) | |||||||
\(594\) | 6.03970 | + | 16.1407i | 0.247812 | + | 0.662261i | ||||
\(595\) | −0.437552 | −0.0179379 | ||||||||
\(596\) | −0.923115 | + | 2.84105i | −0.0378123 | + | 0.116374i | ||||
\(597\) | −22.3187 | + | 2.44906i | −0.913445 | + | 0.100233i | ||||
\(598\) | −15.9351 | − | 11.5776i | −0.651636 | − | 0.473442i | ||||
\(599\) | 26.5826 | − | 8.63722i | 1.08614 | − | 0.352907i | 0.289384 | − | 0.957213i | \(-0.406549\pi\) |
0.796753 | + | 0.604306i | \(0.206549\pi\) | |||||||
\(600\) | −1.75271 | + | 8.43541i | −0.0715542 | + | 0.344374i | ||||
\(601\) | −14.4751 | + | 19.9233i | −0.590453 | + | 0.812688i | −0.994793 | − | 0.101921i | \(-0.967501\pi\) |
0.404340 | + | 0.914609i | \(0.367501\pi\) | |||||||
\(602\) | 1.95012 | − | 1.41684i | 0.0794809 | − | 0.0577462i | ||||
\(603\) | 27.4911 | − | 6.10680i | 1.11952 | − | 0.248688i | ||||
\(604\) | − | 0.151418i | − | 0.00616109i | ||||||
\(605\) | 0.950310 | − | 1.48929i | 0.0386356 | − | 0.0605484i | ||||
\(606\) | 17.7937 | + | 10.1650i | 0.722820 | + | 0.412924i | ||||
\(607\) | 9.71031 | + | 3.15507i | 0.394129 | + | 0.128060i | 0.499375 | − | 0.866386i | \(-0.333563\pi\) |
−0.105246 | + | 0.994446i | \(0.533563\pi\) | |||||||
\(608\) | −3.45842 | − | 4.76011i | −0.140258 | − | 0.193048i | ||||
\(609\) | 9.99531 | − | 4.50509i | 0.405030 | − | 0.182556i | ||||
\(610\) | 0.400842 | + | 1.23367i | 0.0162296 | + | 0.0499496i | ||||
\(611\) | −5.51301 | − | 16.9673i | −0.223032 | − | 0.686423i | ||||
\(612\) | −0.779930 | + | 8.13587i | −0.0315268 | + | 0.328873i | ||||
\(613\) | −19.0272 | − | 26.1887i | −0.768501 | − | 1.05775i | −0.996459 | − | 0.0840800i | \(-0.973205\pi\) |
0.227958 | − | 0.973671i | \(-0.426795\pi\) | |||||||
\(614\) | −19.9581 | − | 6.48477i | −0.805442 | − | 0.261704i | ||||
\(615\) | −0.758659 | + | 1.32803i | −0.0305921 | + | 0.0535513i | ||||
\(616\) | 1.11961 | + | 3.12194i | 0.0451102 | + | 0.125786i | ||||
\(617\) | 1.78277i | 0.0717717i | 0.999356 | + | 0.0358859i | \(0.0114253\pi\) | ||||
−0.999356 | + | 0.0358859i | \(0.988575\pi\) | |||||||
\(618\) | −1.39666 | + | 1.26917i | −0.0561817 | + | 0.0510535i | ||||
\(619\) | −8.02668 | + | 5.83173i | −0.322620 | + | 0.234397i | −0.737292 | − | 0.675574i | \(-0.763896\pi\) |
0.414673 | + | 0.909971i | \(0.363896\pi\) | |||||||
\(620\) | −0.795941 | + | 1.09552i | −0.0319658 | + | 0.0439971i | ||||
\(621\) | −4.92575 | − | 14.4807i | −0.197664 | − | 0.581090i | ||||
\(622\) | −7.20997 | + | 2.34266i | −0.289094 | + | 0.0939322i | ||||
\(623\) | 12.2162 | + | 8.87556i | 0.489430 | + | 0.355592i | ||||
\(624\) | 1.26418 | + | 11.5207i | 0.0506076 | + | 0.461195i | ||||
\(625\) | 7.60607 | − | 23.4091i | 0.304243 | − | 0.936363i | ||||
\(626\) | −0.657982 | −0.0262982 | ||||||||
\(627\) | 29.8412 | + | 15.8727i | 1.19174 | + | 0.633895i | ||||
\(628\) | −1.77875 | −0.0709798 | ||||||||
\(629\) | −0.521583 | + | 1.60527i | −0.0207969 | + | 0.0640062i | ||||
\(630\) | −0.441936 | − | 0.191937i | −0.0176071 | − | 0.00764697i | ||||
\(631\) | −37.9689 | − | 27.5860i | −1.51152 | − | 1.09818i | −0.965498 | − | 0.260411i | \(-0.916142\pi\) |
−0.546021 | − | 0.837771i | \(-0.683858\pi\) | |||||||
\(632\) | 8.72301 | − | 2.83428i | 0.346983 | − | 0.112742i | ||||
\(633\) | 39.2103 | + | 8.14712i | 1.55847 | + | 0.323819i | ||||
\(634\) | −10.0718 | + | 13.8626i | −0.400002 | + | 0.550555i | ||||
\(635\) | 1.77195 | − | 1.28740i | 0.0703177 | − | 0.0510888i | ||||
\(636\) | −3.02238 | − | 3.32597i | −0.119845 | − | 0.131883i | ||||
\(637\) | 6.69138i | 0.265122i | ||||||||
\(638\) | −11.8217 | + | 17.3490i | −0.468027 | + | 0.686853i | ||||
\(639\) | 27.2524 | − | 16.0684i | 1.07809 | − | 0.635656i | ||||
\(640\) | −0.152745 | − | 0.0496298i | −0.00603777 | − | 0.00196179i | ||||
\(641\) | 24.6324 | + | 33.9036i | 0.972920 | + | 1.33911i | 0.940558 | + | 0.339634i | \(0.110303\pi\) |
0.0323623 | + | 0.999476i | \(0.489697\pi\) | |||||||
\(642\) | 5.94029 | + | 13.1795i | 0.234444 | + | 0.520154i | ||||
\(643\) | −3.48769 | − | 10.7340i | −0.137541 | − | 0.423308i | 0.858435 | − | 0.512922i | \(-0.171437\pi\) |
−0.995977 | + | 0.0896133i | \(0.971437\pi\) | |||||||
\(644\) | −0.909630 | − | 2.79955i | −0.0358445 | − | 0.110318i | ||||
\(645\) | −0.275532 | − | 0.611314i | −0.0108491 | − | 0.0240705i | ||||
\(646\) | 9.42209 | + | 12.9684i | 0.370707 | + | 0.510235i | ||||
\(647\) | −28.7627 | − | 9.34555i | −1.13078 | − | 0.367412i | −0.316905 | − | 0.948457i | \(-0.602644\pi\) |
−0.813871 | + | 0.581046i | \(0.802644\pi\) | |||||||
\(648\) | −4.35664 | + | 7.87526i | −0.171145 | + | 0.309369i | ||||
\(649\) | 13.4133 | − | 45.9565i | 0.526517 | − | 1.80395i | ||||
\(650\) | − | 33.2843i | − | 1.30552i | ||||||
\(651\) | 9.82131 | + | 10.8078i | 0.384928 | + | 0.423593i | ||||
\(652\) | −13.9082 | + | 10.1049i | −0.544688 | + | 0.395739i | ||||
\(653\) | −5.11472 | + | 7.03980i | −0.200154 | + | 0.275489i | −0.897282 | − | 0.441459i | \(-0.854461\pi\) |
0.697127 | + | 0.716947i | \(0.254461\pi\) | |||||||
\(654\) | −1.29808 | − | 0.269716i | −0.0507591 | − | 0.0105467i | ||||
\(655\) | 1.14135 | − | 0.370846i | 0.0445961 | − | 0.0144901i | ||||
\(656\) | 4.44808 | + | 3.23172i | 0.173668 | + | 0.126177i | ||||
\(657\) | 0.121522 | − | 0.279804i | 0.00474101 | − | 0.0109162i | ||||
\(658\) | 0.823897 | − | 2.53569i | 0.0321188 | − | 0.0988516i | ||||
\(659\) | 1.04851 | 0.0408442 | 0.0204221 | − | 0.999791i | \(-0.493499\pi\) | ||||
0.0204221 | + | 0.999791i | \(0.493499\pi\) | |||||||
\(660\) | 0.913649 | − | 0.128262i | 0.0355637 | − | 0.00499261i | ||||
\(661\) | −37.7527 | −1.46841 | −0.734206 | − | 0.678927i | \(-0.762445\pi\) | ||||
−0.734206 | + | 0.678927i | \(0.762445\pi\) | |||||||
\(662\) | 3.58853 | − | 11.0444i | 0.139472 | − | 0.429251i | ||||
\(663\) | −3.44411 | − | 31.3867i | −0.133758 | − | 1.21896i | ||||
\(664\) | −11.4972 | − | 8.35319i | −0.446177 | − | 0.324167i | ||||
\(665\) | −0.898724 | + | 0.292013i | −0.0348510 | + | 0.0113238i | ||||
\(666\) | −1.23098 | + | 1.39255i | −0.0476995 | + | 0.0539603i | ||||
\(667\) | 10.9521 | − | 15.0742i | 0.424066 | − | 0.583677i | ||||
\(668\) | 16.8406 | − | 12.2354i | 0.651581 | − | 0.473402i | ||||
\(669\) | −9.75029 | + | 8.86030i | −0.376968 | + | 0.342559i | ||||
\(670\) | − | 1.50761i | − | 0.0582442i | ||||||
\(671\) | −21.1863 | + | 16.3919i | −0.817889 | + | 0.632801i | ||||
\(672\) | −0.859155 | + | 1.50395i | −0.0331426 | + | 0.0580160i | ||||
\(673\) | −34.2404 | − | 11.1254i | −1.31987 | − | 0.428851i | −0.437419 | − | 0.899258i | \(-0.644107\pi\) |
−0.882450 | + | 0.470407i | \(0.844107\pi\) | |||||||
\(674\) | −10.2525 | − | 14.1114i | −0.394913 | − | 0.543552i | ||||
\(675\) | 14.9040 | − | 21.1170i | 0.573653 | − | 0.812792i | ||||
\(676\) | −9.81888 | − | 30.2194i | −0.377649 | − | 1.16228i | ||||
\(677\) | −8.43360 | − | 25.9559i | −0.324129 | − | 0.997568i | −0.971832 | − | 0.235675i | \(-0.924270\pi\) |
0.647703 | − | 0.761893i | \(-0.275730\pi\) | |||||||
\(678\) | 16.4287 | − | 7.40477i | 0.630941 | − | 0.284378i | ||||
\(679\) | 6.09258 | + | 8.38572i | 0.233812 | + | 0.321814i | ||||
\(680\) | 0.416136 | + | 0.135211i | 0.0159581 | + | 0.00518510i | ||||
\(681\) | −35.8135 | − | 20.4591i | −1.37238 | − | 0.783993i | ||||
\(682\) | −26.8439 | − | 7.83489i | −1.02791 | − | 0.300013i | ||||
\(683\) | 45.1710i | 1.72842i | 0.503131 | + | 0.864210i | \(0.332181\pi\) | ||||
−0.503131 | + | 0.864210i | \(0.667819\pi\) | |||||||
\(684\) | 3.82775 | + | 17.2314i | 0.146358 | + | 0.658861i | ||||
\(685\) | 0.567232 | − | 0.412118i | 0.0216728 | − | 0.0157462i | ||||
\(686\) | −0.587785 | + | 0.809017i | −0.0224417 | + | 0.0308884i | ||||
\(687\) | 4.85633 | − | 23.3724i | 0.185281 | − | 0.891714i | ||||
\(688\) | −2.29250 | + | 0.744879i | −0.0874008 | + | 0.0283982i | ||||
\(689\) | 14.0461 | + | 10.2051i | 0.535113 | + | 0.388782i | ||||
\(690\) | −0.813963 | + | 0.0893172i | −0.0309870 | + | 0.00340025i | ||||
\(691\) | 3.47116 | − | 10.6831i | 0.132049 | − | 0.406406i | −0.863070 | − | 0.505084i | \(-0.831462\pi\) |
0.995119 | + | 0.0986784i | \(0.0314615\pi\) | |||||||
\(692\) | −18.5325 | −0.704499 | ||||||||
\(693\) | 0.650178 | − | 9.92861i | 0.0246982 | − | 0.377157i | ||||
\(694\) | −12.0266 | −0.456525 | ||||||||
\(695\) | −1.02793 | + | 3.16363i | −0.0389914 | + | 0.120003i | ||||
\(696\) | −10.8983 | + | 1.19588i | −0.413097 | + | 0.0453297i | ||||
\(697\) | −12.1183 | − | 8.80445i | −0.459013 | − | 0.333492i | ||||
\(698\) | 9.67472 | − | 3.14351i | 0.366194 | − | 0.118983i | ||||
\(699\) | 0.367207 | − | 1.76728i | 0.0138890 | − | 0.0668448i | ||||
\(700\) | 2.92376 | − | 4.02422i | 0.110508 | − | 0.152101i | ||||
\(701\) | −24.7251 | + | 17.9638i | −0.933852 | + | 0.678483i | −0.946933 | − | 0.321431i | \(-0.895836\pi\) |
0.0130806 | + | 0.999914i | \(0.495836\pi\) | |||||||
\(702\) | 10.2896 | − | 33.2120i | 0.388355 | − | 1.25351i | ||||
\(703\) | 3.64529i | 0.137485i | ||||||||
\(704\) | −0.100078 | − | 3.31511i | −0.00377183 | − | 0.124943i | ||||
\(705\) | −0.643996 | − | 0.367894i | −0.0242543 | − | 0.0138557i | ||||
\(706\) | −8.93383 | − | 2.90278i | −0.336229 | − | 0.109247i | ||||
\(707\) | −6.95430 | − | 9.57177i | −0.261543 | − | 0.359983i | ||||
\(708\) | 22.7931 | − | 10.2733i | 0.856618 | − | 0.386096i | ||||
\(709\) | −3.50974 | − | 10.8019i | −0.131811 | − | 0.405673i | 0.863269 | − | 0.504744i | \(-0.168413\pi\) |
−0.995080 | + | 0.0990706i | \(0.968413\pi\) | |||||||
\(710\) | −0.523376 | − | 1.61079i | −0.0196420 | − | 0.0604517i | ||||
\(711\) | −27.3902 | − | 2.62571i | −1.02721 | − | 0.0984718i | ||||
\(712\) | −8.87556 | − | 12.2162i | −0.332626 | − | 0.457820i | ||||
\(713\) | 23.6043 | + | 7.66949i | 0.883987 | + | 0.287225i | ||||
\(714\) | 2.34067 | − | 4.09733i | 0.0875974 | − | 0.153339i | ||||
\(715\) | −3.35506 | + | 1.20321i | −0.125472 | + | 0.0449975i | ||||
\(716\) | 18.2934i | 0.683656i | ||||||||
\(717\) | −27.3440 | + | 24.8480i | −1.02118 | + | 0.927967i | ||||
\(718\) | −17.8080 | + | 12.9382i | −0.664587 | + | 0.482851i | ||||
\(719\) | −9.17659 | + | 12.6305i | −0.342229 | + | 0.471038i | −0.945091 | − | 0.326808i | \(-0.894027\pi\) |
0.602862 | + | 0.797846i | \(0.294027\pi\) | |||||||
\(720\) | 0.360994 | + | 0.319109i | 0.0134534 | + | 0.0118925i | ||||
\(721\) | 1.03624 | − | 0.336693i | 0.0385914 | − | 0.0125391i | ||||
\(722\) | 12.6363 | + | 9.18083i | 0.470276 | + | 0.341675i | ||||
\(723\) | 2.31020 | + | 21.0532i | 0.0859173 | + | 0.782978i | ||||
\(724\) | 0.221317 | − | 0.681143i | 0.00822517 | − | 0.0253145i | ||||
\(725\) | 31.4861 | 1.16936 | ||||||||
\(726\) | 8.86243 | + | 16.8659i | 0.328916 | + | 0.625951i | ||||
\(727\) | −43.2823 | −1.60525 | −0.802626 | − | 0.596483i | \(-0.796564\pi\) | ||||
−0.802626 | + | 0.596483i | \(0.796564\pi\) | |||||||
\(728\) | 2.06775 | − | 6.36388i | 0.0766359 | − | 0.235861i | ||||
\(729\) | 21.3997 | − | 16.4637i | 0.792582 | − | 0.609765i | ||||
\(730\) | −0.0132121 | − | 0.00959917i | −0.000489003 | − | 0.000355281i | ||||
\(731\) | 6.24566 | − | 2.02934i | 0.231004 | − | 0.0750578i | ||||
\(732\) | −13.6966 | − | 2.84589i | −0.506241 | − | 0.105187i | ||||
\(733\) | −7.76379 | + | 10.6859i | −0.286762 | + | 0.394694i | −0.927959 | − | 0.372682i | \(-0.878438\pi\) |
0.641197 | + | 0.767376i | \(0.278438\pi\) | |||||||
\(734\) | 13.6048 | − | 9.88448i | 0.502163 | − | 0.364843i | ||||
\(735\) | 0.187080 | + | 0.205872i | 0.00690056 | + | 0.00759371i | ||||
\(736\) | 2.94363i | 0.108503i | ||||||||
\(737\) | 29.3058 | − | 10.5098i | 1.07949 | − | 0.387134i | ||||
\(738\) | −8.37753 | − | 14.2085i | −0.308381 | − | 0.523022i | ||||
\(739\) | −16.8990 | − | 5.49083i | −0.621641 | − | 0.201983i | −0.0187721 | − | 0.999824i | \(-0.505976\pi\) |
−0.602869 | + | 0.797840i | \(0.705976\pi\) | |||||||
\(740\) | 0.0584859 | + | 0.0804989i | 0.00214998 | + | 0.00295920i | ||||
\(741\) | −28.0210 | − | 62.1693i | −1.02938 | − | 2.28385i | ||||
\(742\) | 0.801796 | + | 2.46767i | 0.0294349 | + | 0.0905912i | ||||
\(743\) | −6.86362 | − | 21.1240i | −0.251802 | − | 0.774966i | −0.994443 | − | 0.105277i | \(-0.966427\pi\) |
0.742641 | − | 0.669689i | \(-0.233573\pi\) | |||||||
\(744\) | −6.00082 | − | 13.3138i | −0.220001 | − | 0.488108i | ||||
\(745\) | −0.282002 | − | 0.388143i | −0.0103318 | − | 0.0142204i | ||||
\(746\) | −11.0418 | − | 3.58770i | −0.404269 | − | 0.131355i | ||||
\(747\) | 21.6538 | + | 36.7255i | 0.792272 | + | 1.34371i | ||||
\(748\) | 0.272651 | + | 9.03166i | 0.00996911 | + | 0.330230i | ||||
\(749\) | − | 8.34639i | − | 0.304970i | ||||||
\(750\) | −1.86598 | − | 2.05341i | −0.0681359 | − | 0.0749799i | ||||
\(751\) | −5.60877 | + | 4.07501i | −0.204667 | + | 0.148699i | −0.685397 | − | 0.728169i | \(-0.740371\pi\) |
0.480731 | + | 0.876868i | \(0.340371\pi\) | |||||||
\(752\) | −1.56714 | + | 2.15699i | −0.0571479 | + | 0.0786573i | ||||
\(753\) | −1.25882 | − | 0.261557i | −0.0458738 | − | 0.00953167i | ||||
\(754\) | 40.2826 | − | 13.0886i | 1.46700 | − | 0.476659i | ||||
\(755\) | 0.0196741 | + | 0.0142941i | 0.000716013 | + | 0.000520214i | ||||
\(756\) | 4.16147 | − | 3.11162i | 0.151351 | − | 0.113169i | ||||
\(757\) | −10.4463 | + | 32.1505i | −0.379678 | + | 1.16853i | 0.560590 | + | 0.828094i | \(0.310575\pi\) |
−0.940268 | + | 0.340436i | \(0.889425\pi\) | |||||||
\(758\) | 16.2733 | 0.591073 | ||||||||
\(759\) | −7.41046 | − | 15.1996i | −0.268983 | − | 0.551711i | ||||
\(760\) | 0.944974 | 0.0342778 | ||||||||
\(761\) | 5.92539 | − | 18.2365i | 0.214795 | − | 0.661072i | −0.784373 | − | 0.620290i | \(-0.787015\pi\) |
0.999168 | − | 0.0407823i | \(-0.0129850\pi\) | |||||||
\(762\) | 2.57647 | + | 23.4798i | 0.0933358 | + | 0.850585i | ||||
\(763\) | 0.619267 | + | 0.449924i | 0.0224190 | + | 0.0162883i | ||||
\(764\) | 24.7626 | − | 8.04585i | 0.895878 | − | 0.291088i | ||||
\(765\) | −0.983487 | − | 0.869377i | −0.0355581 | − | 0.0314324i | ||||
\(766\) | −8.82714 | + | 12.1495i | −0.318937 | + | 0.438980i | ||||
\(767\) | −78.1406 | + | 56.7724i | −2.82149 | + | 2.04993i | ||||
\(768\) | 1.28185 | − | 1.16484i | 0.0462548 | − | 0.0420327i | ||||
\(769\) | − | 4.54196i | − | 0.163787i | −0.996641 | − | 0.0818936i | \(-0.973903\pi\) | ||
0.996641 | − | 0.0818936i | \(-0.0260968\pi\) | |||||||
\(770\) | −0.511334 | − | 0.149242i | −0.0184272 | − | 0.00537831i | ||||
\(771\) | −2.55272 | + | 4.46851i | −0.0919338 | + | 0.160930i | ||||
\(772\) | 2.38681 | + | 0.775523i | 0.0859033 | + | 0.0279117i | ||||
\(773\) | 9.80576 | + | 13.4965i | 0.352689 | + | 0.485434i | 0.948094 | − | 0.317992i | \(-0.103008\pi\) |
−0.595405 | + | 0.803426i | \(0.703008\pi\) | |||||||
\(774\) | 7.19843 | + | 0.690065i | 0.258742 | + | 0.0248039i | ||||
\(775\) | 12.9601 | + | 39.8870i | 0.465540 | + | 1.43278i | ||||
\(776\) | −3.20306 | − | 9.85801i | −0.114983 | − | 0.353882i | ||||
\(777\) | 0.978302 | − | 0.440941i | 0.0350964 | − | 0.0158187i | ||||
\(778\) | −1.76075 | − | 2.42346i | −0.0631259 | − | 0.0868854i | ||||
\(779\) | −30.7667 | − | 9.99670i | −1.10233 | − | 0.358169i | ||||
\(780\) | −1.61625 | − | 0.923310i | −0.0578710 | − | 0.0330598i | ||||
\(781\) | 27.6628 | − | 21.4027i | 0.989853 | − | 0.765850i | ||||
\(782\) | − | 8.01958i | − | 0.286780i | ||||||
\(783\) | 31.4177 | + | 9.73367i | 1.12278 | + | 0.347853i | ||||
\(784\) | 0.809017 | − | 0.587785i | 0.0288935 | − | 0.0209923i | ||||
\(785\) | 0.167917 | − | 0.231117i | 0.00599320 | − | 0.00824893i | ||||
\(786\) | −2.63292 | + | 12.6716i | −0.0939131 | + | 0.451983i | ||||
\(787\) | 20.5616 | − | 6.68088i | 0.732944 | − | 0.238148i | 0.0813176 | − | 0.996688i | \(-0.474087\pi\) |
0.651626 | + | 0.758540i | \(0.274087\pi\) | |||||||
\(788\) | 5.78085 | + | 4.20003i | 0.205934 | + | 0.149620i | ||||
\(789\) | 3.72749 | − | 0.409022i | 0.132702 | − | 0.0145616i | ||||
\(790\) | −0.455201 | + | 1.40096i | −0.0161953 | + | 0.0498440i | ||||
\(791\) | −10.4041 | −0.369926 | ||||||||
\(792\) | −3.68647 | + | 9.24175i | −0.130993 | + | 0.328391i | ||||
\(793\) | 54.0439 | 1.91915 | ||||||||
\(794\) | 2.50679 | − | 7.71510i | 0.0889626 | − | 0.273799i | ||||
\(795\) | 0.717470 | − | 0.0787289i | 0.0254460 | − | 0.00279223i | ||||
\(796\) | −10.4873 | − | 7.61950i | −0.371714 | − | 0.270066i | ||||
\(797\) | 12.1477 | − | 3.94703i | 0.430294 | − | 0.139811i | −0.0858590 | − | 0.996307i | \(-0.527363\pi\) |
0.516153 | + | 0.856496i | \(0.327363\pi\) | |||||||
\(798\) | 2.07322 | − | 9.97797i | 0.0733913 | − | 0.353216i | ||||
\(799\) | 4.26951 | − | 5.87648i | 0.151044 | − | 0.207895i | ||||
\(800\) | −4.02422 | + | 2.92376i | −0.142278 | + | 0.103371i | ||||
\(801\) | 9.82338 | + | 44.2221i | 0.347092 | + | 1.56251i | ||||
\(802\) | − | 32.4353i | − | 1.14533i | ||||||
\(803\) | 0.0944900 | − | 0.323742i | 0.00333448 | − | 0.0114246i | ||||
\(804\) | 14.1176 | + | 8.06495i | 0.497891 | + | 0.284429i | ||||
\(805\) | 0.449624 | + | 0.146092i | 0.0158472 | + | 0.00514905i | ||||
\(806\) | 33.1617 | + | 45.6431i | 1.16807 | + | 1.60771i | ||||
\(807\) | 2.25566 | − | 1.01667i | 0.0794029 | − | 0.0357886i | ||||
\(808\) | 3.65609 | + | 11.2523i | 0.128621 | + | 0.395854i | ||||
\(809\) | 9.22491 | + | 28.3913i | 0.324330 | + | 0.998187i | 0.971742 | + | 0.236046i | \(0.0758516\pi\) |
−0.647411 | + | 0.762141i | \(0.724148\pi\) | |||||||
\(810\) | −0.611979 | − | 1.30951i | −0.0215027 | − | 0.0460113i | ||||
\(811\) | 20.0631 | + | 27.6144i | 0.704509 | + | 0.969674i | 0.999898 | + | 0.0142968i | \(0.00455097\pi\) |
−0.295388 | + | 0.955377i | \(0.595449\pi\) | |||||||
\(812\) | 6.02007 | + | 1.95604i | 0.211263 | + | 0.0686435i | ||||
\(813\) | −11.7631 | + | 20.5912i | −0.412550 | + | 0.722167i | ||||
\(814\) | −1.15707 | + | 1.69805i | −0.0405552 | + | 0.0595167i | ||||
\(815\) | − | 2.76105i | − | 0.0967154i | ||||||
\(816\) | −3.49226 | + | 3.17349i | −0.122253 | + | 0.111094i | ||||
\(817\) | 11.4741 | − | 8.33645i | 0.401430 | − | 0.291656i | ||||
\(818\) | 14.8712 | − | 20.4684i | 0.519959 | − | 0.715662i | ||||
\(819\) | −13.2952 | + | 15.0403i | −0.464571 | + | 0.525549i | ||||
\(820\) | −0.839811 | + | 0.272871i | −0.0293275 | + | 0.00952907i | ||||
\(821\) | 21.7460 | + | 15.7994i | 0.758939 | + | 0.551402i | 0.898585 | − | 0.438800i | \(-0.144596\pi\) |
−0.139645 | + | 0.990202i | \(0.544596\pi\) | |||||||
\(822\) | 0.824774 | + | 7.51630i | 0.0287673 | + | 0.262161i | ||||
\(823\) | −15.5036 | + | 47.7152i | −0.540422 | + | 1.66325i | 0.191211 | + | 0.981549i | \(0.438758\pi\) |
−0.731633 | + | 0.681699i | \(0.761242\pi\) | |||||||
\(824\) | −1.08956 | −0.0379567 | ||||||||
\(825\) | 13.4188 | − | 25.2279i | 0.467184 | − | 0.878321i | ||||
\(826\) | −14.4345 | −0.502242 | ||||||||
\(827\) | 6.73474 | − | 20.7274i | 0.234190 | − | 0.720762i | −0.763038 | − | 0.646354i | \(-0.776293\pi\) |
0.997228 | − | 0.0744087i | \(-0.0237069\pi\) | |||||||
\(828\) | 3.51789 | − | 8.09993i | 0.122255 | − | 0.281492i | ||||
\(829\) | −18.6834 | − | 13.5743i | −0.648900 | − | 0.471453i | 0.213996 | − | 0.976834i | \(-0.431352\pi\) |
−0.862896 | + | 0.505381i | \(0.831352\pi\) | |||||||
\(830\) | 2.17070 | − | 0.705304i | 0.0753462 | − | 0.0244815i | ||||
\(831\) | 15.7375 | + | 3.26994i | 0.545928 | + | 0.113433i | ||||
\(832\) | −3.93309 | + | 5.41344i | −0.136356 | + | 0.187677i | ||||
\(833\) | −2.20408 | + | 1.60136i | −0.0763667 | + | 0.0554837i | ||||
\(834\) | −24.1261 | − | 26.5495i | −0.835417 | − | 0.919333i | ||||
\(835\) | 3.34318i | 0.115695i | ||||||||
\(836\) | 6.58757 | + | 18.3689i | 0.227836 | + | 0.635302i | ||||
\(837\) | 0.601195 | + | 43.8069i | 0.0207804 | + | 1.51419i | ||||
\(838\) | 3.75515 | + | 1.22012i | 0.129719 | + | 0.0421484i | ||||
\(839\) | −5.16175 | − | 7.10453i | −0.178203 | − | 0.245276i | 0.710566 | − | 0.703630i | \(-0.248439\pi\) |
−0.888769 | + | 0.458355i | \(0.848439\pi\) | |||||||
\(840\) | −0.114306 | − | 0.253607i | −0.00394393 | − | 0.00875027i | ||||
\(841\) | 3.42000 | + | 10.5257i | 0.117931 | + | 0.362954i | ||||
\(842\) | 8.18453 | + | 25.1894i | 0.282057 | + | 0.868083i | ||||
\(843\) | −9.30703 | − | 20.6492i | −0.320551 | − | 0.711196i | ||||
\(844\) | 13.5905 | + | 18.7057i | 0.467805 | + | 0.643878i | ||||
\(845\) | 4.85340 | + | 1.57697i | 0.166962 | + | 0.0542493i | ||||
\(846\) | 6.89008 | − | 4.06248i | 0.236886 | − | 0.139671i | ||||
\(847\) | −0.663539 | − | 10.9800i | −0.0227995 | − | 0.377276i | ||||
\(848\) | − | 2.59467i | − | 0.0891012i | ||||||
\(849\) | 16.8649 | + | 18.5589i | 0.578801 | + | 0.636941i | ||||
\(850\) | 10.9635 | − | 7.96547i | 0.376046 | − | 0.273213i | ||||
\(851\) | 1.07195 | − | 1.47541i | 0.0367459 | − | 0.0505764i | ||||
\(852\) | 17.8836 | + | 3.71585i | 0.612681 | + | 0.127303i | ||||
\(853\) | −1.26560 | + | 0.411219i | −0.0433334 | + | 0.0140799i | −0.330603 | − | 0.943770i | \(-0.607252\pi\) |
0.287270 | + | 0.957850i | \(0.407252\pi\) | |||||||
\(854\) | 6.53414 | + | 4.74733i | 0.223594 | + | 0.162450i | ||||
\(855\) | −2.60027 | − | 1.12933i | −0.0889274 | − | 0.0386221i | ||||
\(856\) | −2.57918 | + | 7.93789i | −0.0881544 | + | 0.271311i | ||||
\(857\) | −8.79463 | −0.300419 | −0.150209 | − | 0.988654i | \(-0.547995\pi\) | ||||
−0.150209 | + | 0.988654i | \(0.547995\pi\) | |||||||
\(858\) | 6.68067 | − | 37.8541i | 0.228074 | − | 1.29232i | ||||
\(859\) | −19.7514 | −0.673911 | −0.336955 | − | 0.941521i | \(-0.609397\pi\) | ||||
−0.336955 | + | 0.941521i | \(0.609397\pi\) | |||||||
\(860\) | 0.119632 | − | 0.368188i | 0.00407940 | − | 0.0125551i | ||||
\(861\) | 1.03874 | + | 9.46621i | 0.0354002 | + | 0.322608i | ||||
\(862\) | −29.8337 | − | 21.6755i | −1.01614 | − | 0.738269i | ||||
\(863\) | 22.2608 | − | 7.23297i | 0.757766 | − | 0.246213i | 0.0954465 | − | 0.995435i | \(-0.469572\pi\) |
0.662320 | + | 0.749221i | \(0.269572\pi\) | |||||||
\(864\) | −4.91934 | + | 1.67336i | −0.167359 | + | 0.0569289i | ||||
\(865\) | 1.74949 | − | 2.40797i | 0.0594846 | − | 0.0818735i | ||||
\(866\) | −17.7907 | + | 12.9257i | −0.604552 | + | 0.439233i | ||||
\(867\) | −12.2772 | + | 11.1565i | −0.416955 | + | 0.378896i | ||||
\(868\) | 8.43144i | 0.286182i | ||||||||
\(869\) | −30.4059 | + | 0.917906i | −1.03145 | + | 0.0311378i | ||||
\(870\) | 0.873428 | − | 1.52893i | 0.0296120 | − | 0.0518356i | ||||
\(871\) | −59.7382 | − | 19.4101i | −2.02415 | − | 0.657687i | ||||
\(872\) | −0.449924 | − | 0.619267i | −0.0152363 | − | 0.0209710i | ||||
\(873\) | −2.96736 | + | 30.9541i | −0.100430 | + | 1.04764i | ||||
\(874\) | −5.35210 | − | 16.4721i | −0.181038 | − | 0.557176i | ||||
\(875\) | 0.495018 | + | 1.52351i | 0.0167347 | + | 0.0515040i | ||||
\(876\) | 0.160567 | − | 0.0723708i | 0.00542505 | − | 0.00244518i | ||||
\(877\) | 16.8980 | + | 23.2581i | 0.570606 | + | 0.785372i | 0.992626 | − | 0.121215i | \(-0.0386789\pi\) |
−0.422020 | + | 0.906586i | \(0.638679\pi\) | |||||||
\(878\) | −0.939056 | − | 0.305118i | −0.0316916 | − | 0.0102972i | ||||
\(879\) | −12.2067 | − | 6.97327i | −0.411721 | − | 0.235203i | ||||
\(880\) | 0.440189 | + | 0.299949i | 0.0148388 | + | 0.0101113i | ||||
\(881\) | − | 40.1934i | − | 1.35415i | −0.735915 | − | 0.677074i | \(-0.763248\pi\) | ||
0.735915 | − | 0.677074i | \(-0.236752\pi\) | |||||||
\(882\) | −2.92861 | + | 0.650555i | −0.0986116 | + | 0.0219053i | ||||
\(883\) | 8.15600 | − | 5.92568i | 0.274471 | − | 0.199415i | −0.442031 | − | 0.897000i | \(-0.645742\pi\) |
0.716502 | + | 0.697585i | \(0.245742\pi\) | |||||||
\(884\) | 10.7153 | − | 14.7483i | 0.360394 | − | 0.496039i | ||||
\(885\) | −0.816865 | + | 3.93139i | −0.0274586 | + | 0.132152i | ||||
\(886\) | 8.77053 | − | 2.84972i | 0.294652 | − | 0.0957382i | ||||
\(887\) | −43.7299 | − | 31.7717i | −1.46831 | − | 1.06679i | −0.981100 | − | 0.193501i | \(-0.938016\pi\) |
−0.487207 | − | 0.873286i | \(-0.661984\pi\) | |||||||
\(888\) | −1.06668 | + | 0.117048i | −0.0357954 | + | 0.00392788i | ||||
\(889\) | 4.21421 | − | 12.9700i | 0.141340 | − | 0.435000i | ||||
\(890\) | 2.42514 | 0.0812910 | ||||||||
\(891\) | 21.1887 | − | 21.0247i | 0.709847 | − | 0.704355i | ||||
\(892\) | −7.60643 | −0.254682 | ||||||||
\(893\) | 4.84766 | − | 14.9196i | 0.162221 | − | 0.499264i | ||||
\(894\) | 5.14322 | − | 0.564372i | 0.172015 | − | 0.0188754i | ||||
\(895\) | −2.37691 | − | 1.72692i | −0.0794512 | − | 0.0577247i | ||||
\(896\) | −0.951057 | + | 0.309017i | −0.0317726 | + | 0.0103235i | ||||
\(897\) | −6.94041 | + | 33.4026i | −0.231733 | + | 1.11528i | ||||
\(898\) | 17.6805 | − | 24.3351i | 0.590005 | − | 0.812072i | ||||
\(899\) | −43.1772 | + | 31.3701i | −1.44004 | + | 1.04625i | ||||
\(900\) | 14.5675 | − | 3.23599i | 0.485584 | − | 0.107866i | ||||
\(901\) | 7.06888i | 0.235498i | ||||||||
\(902\) | −11.1587 | − | 14.4225i | −0.371543 | − | 0.480215i | ||||
\(903\) | −3.62523 | − | 2.07097i | −0.120640 | − | 0.0689177i | ||||
\(904\) | 9.89485 | + | 3.21503i | 0.329098 | + | 0.106930i | ||||
\(905\) | 0.0676100 | + | 0.0930572i | 0.00224743 | + | 0.00309332i | ||||
\(906\) | −0.239099 | + | 0.107767i | −0.00794352 | + | 0.00358031i | ||||
\(907\) | −3.39484 | − | 10.4482i | −0.112724 | − | 0.346928i | 0.878742 | − | 0.477298i | \(-0.158384\pi\) |
−0.991465 | + | 0.130370i | \(0.958384\pi\) | |||||||
\(908\) | −7.35862 | − | 22.6475i | −0.244205 | − | 0.751584i | ||||
\(909\) | 3.38705 | − | 35.3321i | 0.112341 | − | 1.17189i | ||||
\(910\) | 0.631676 | + | 0.869428i | 0.0209399 | + | 0.0288213i | ||||
\(911\) | 3.17983 | + | 1.03319i | 0.105353 | + | 0.0342311i | 0.361219 | − | 0.932481i | \(-0.382361\pi\) |
−0.255866 | + | 0.966712i | \(0.582361\pi\) | |||||||
\(912\) | −5.05511 | + | 8.84895i | −0.167392 | + | 0.293018i | ||||
\(913\) | 28.8424 | + | 37.2785i | 0.954544 | + | 1.23374i | ||||
\(914\) | 13.6979i | 0.453085i | ||||||||
\(915\) | 1.66275 | − | 1.51098i | 0.0549690 | − | 0.0499515i | ||||
\(916\) | 11.1501 | − | 8.10103i | 0.368410 | − | 0.267665i | ||||
\(917\) | 4.39207 | − | 6.04517i | 0.145039 | − | 0.199629i | ||||
\(918\) | 13.4022 | − | 4.55889i | 0.442338 | − | 0.150466i | ||||
\(919\) | −31.5660 | + | 10.2564i | −1.04127 | + | 0.338328i | −0.779235 | − | 0.626732i | \(-0.784392\pi\) |
−0.262030 | + | 0.965060i | \(0.584392\pi\) | |||||||
\(920\) | −0.382473 | − | 0.277883i | −0.0126098 | − | 0.00916152i | ||||
\(921\) | 3.96464 | + | 36.1305i | 0.130639 | + | 1.19054i | ||||
\(922\) | 0.619903 | − | 1.90787i | 0.0204154 | − | 0.0628322i | ||||
\(923\) | −70.5646 | −2.32266 | ||||||||
\(924\) | 4.13290 | − | 3.98988i | 0.135963 | − | 0.131257i | ||||
\(925\) | 3.08174 | 0.101327 | ||||||||
\(926\) | −6.94788 | + | 21.3834i | −0.228322 | + | 0.702702i | ||||
\(927\) | 2.99813 | + | 1.30212i | 0.0984716 | + | 0.0427673i | ||||
\(928\) | −5.12098 | − | 3.72061i | −0.168104 | − | 0.122135i | ||||
\(929\) | 26.2935 | − | 8.54327i | 0.862662 | − | 0.280296i | 0.155922 | − | 0.987769i | \(-0.450165\pi\) |
0.706740 | + | 0.707474i | \(0.250165\pi\) | |||||||
\(930\) | 2.29638 | + | 0.477143i | 0.0753014 | + | 0.0156461i | ||||
\(931\) | −3.45842 | + | 4.76011i | −0.113345 | + | 0.156006i | ||||
\(932\) | 0.843104 | − | 0.612551i | 0.0276168 | − | 0.0200648i | ||||
\(933\) | 8.83070 | + | 9.71772i | 0.289104 | + | 0.318144i | ||||
\(934\) | 15.5570i | 0.509041i | ||||||||
\(935\) | −1.19925 | − | 0.817176i | −0.0392195 | − | 0.0267245i | ||||
\(936\) | 17.2922 | − | 10.1957i | 0.565212 | − | 0.333257i | ||||
\(937\) | 18.3228 | + | 5.95344i | 0.598580 | + | 0.194490i | 0.592607 | − | 0.805492i | \(-0.298099\pi\) |
0.00597291 | + | 0.999982i | \(0.498099\pi\) | |||||||
\(938\) | −5.51758 | − | 7.59430i | −0.180155 | − | 0.247963i | ||||
\(939\) | 0.468298 | + | 1.03900i | 0.0152823 | + | 0.0339064i | ||||
\(940\) | −0.132322 | − | 0.407246i | −0.00431588 | − | 0.0132829i | ||||
\(941\) | −12.7583 | − | 39.2661i | −0.415910 | − | 1.28004i | −0.911435 | − | 0.411445i | \(-0.865024\pi\) |
0.495525 | − | 0.868594i | \(-0.334976\pi\) | |||||||
\(942\) | 1.26597 | + | 2.80876i | 0.0412475 | + | 0.0915145i | ||||
\(943\) | 9.51297 | + | 13.0935i | 0.309785 | + | 0.426382i | ||||
\(944\) | 13.7281 | + | 4.46052i | 0.446811 | + | 0.145178i | ||||
\(945\) | 0.0114518 | + | 0.834452i | 0.000372527 | + | 0.0271447i | ||||
\(946\) | 7.99101 | − | 0.241235i | 0.259810 | − | 0.00784324i | ||||
\(947\) | − | 8.56801i | − | 0.278423i | −0.990263 | − | 0.139211i | \(-0.955543\pi\) | ||
0.990263 | − | 0.139211i | \(-0.0444568\pi\) | |||||||
\(948\) | −10.6838 | − | 11.7570i | −0.346995 | − | 0.381850i | ||||
\(949\) | −0.550463 | + | 0.399935i | −0.0178688 | + | 0.0129824i | ||||
\(950\) | 17.2029 | − | 23.6778i | 0.558136 | − | 0.768209i | ||||
\(951\) | 29.0583 | + | 6.03774i | 0.942280 | + | 0.195787i | ||||
\(952\) | 2.59105 | − | 0.841882i | 0.0839763 | − | 0.0272856i | ||||
\(953\) | 23.6082 | + | 17.1523i | 0.764744 | + | 0.555619i | 0.900362 | − | 0.435142i | \(-0.143302\pi\) |
−0.135618 | + | 0.990761i | \(0.543302\pi\) | |||||||
\(954\) | −3.10085 | + | 7.13970i | −0.100394 | + | 0.231156i | ||||
\(955\) | −1.29221 | + | 3.97700i | −0.0418148 | + | 0.128693i | ||||
\(956\) | −21.3316 | −0.689914 | ||||||||
\(957\) | 35.8090 | + | 6.31974i | 1.15754 | + | 0.204288i | ||||
\(958\) | 24.7841 | 0.800738 | ||||||||
\(959\) | 1.34904 | − | 4.15192i | 0.0435628 | − | 0.134072i | ||||
\(960\) | 0.0303426 | + | 0.276517i | 0.000979303 | + | 0.00892455i | ||||
\(961\) | −32.4328 | − | 23.5638i | −1.04622 | − | 0.760124i | ||||
\(962\) | 3.94270 | − | 1.28106i | 0.127118 | − | 0.0413031i | ||||
\(963\) | 16.5835 | − | 18.7602i | 0.534397 | − | 0.604540i | ||||
\(964\) | −7.18747 | + | 9.89270i | −0.231493 | + | 0.318623i | ||||
\(965\) | −0.326085 | + | 0.236914i | −0.0104970 | + | 0.00762654i | ||||
\(966\) | −3.77329 | + | 3.42886i | −0.121403 | + | 0.110322i | ||||
\(967\) | 32.6733i | 1.05070i | 0.850886 | + | 0.525351i | \(0.176066\pi\) | ||||
−0.850886 | + | 0.525351i | \(0.823934\pi\) | |||||||
\(968\) | −2.76193 | + | 10.6476i | −0.0887719 | + | 0.342227i | ||||
\(969\) | 13.7721 | − | 24.1080i | 0.442423 | − | 0.774460i | ||||
\(970\) | 1.58325 | + | 0.514429i | 0.0508351 | + | 0.0165173i | ||||
\(971\) | 16.0175 | + | 22.0462i | 0.514027 | + | 0.707497i | 0.984592 | − | 0.174868i | \(-0.0559500\pi\) |
−0.470565 | + | 0.882365i | \(0.655950\pi\) | |||||||
\(972\) | 15.5363 | + | 1.27446i | 0.498326 | + | 0.0408785i | ||||
\(973\) | 6.40031 | + | 19.6981i | 0.205185 | + | 0.631493i | ||||
\(974\) | −7.22107 | − | 22.2242i | −0.231378 | − | 0.712108i | ||||
\(975\) | −52.5582 | + | 23.6891i | −1.68321 | + | 0.758657i | ||||
\(976\) | −4.74733 | − | 6.53414i | −0.151958 | − | 0.209153i | ||||
\(977\) | −34.2685 | − | 11.1345i | −1.09635 | − | 0.356224i | −0.295651 | − | 0.955296i | \(-0.595536\pi\) |
−0.800695 | + | 0.599072i | \(0.795536\pi\) | |||||||
\(978\) | 25.8551 | + | 14.7702i | 0.826755 | + | 0.472298i | ||||
\(979\) | 16.9061 | + | 47.1413i | 0.540320 | + | 1.50664i | ||||
\(980\) | 0.160605i | 0.00513035i | ||||||||
\(981\) | 0.497971 | + | 2.24172i | 0.0158990 | + | 0.0715727i | ||||
\(982\) | 11.4997 | − | 8.35505i | 0.366971 | − | 0.266620i | ||||
\(983\) | 28.8851 | − | 39.7569i | 0.921292 | − | 1.26805i | −0.0418690 | − | 0.999123i | \(-0.513331\pi\) |
0.963161 | − | 0.268926i | \(-0.0866688\pi\) | |||||||
\(984\) | 1.93732 | − | 9.32389i | 0.0617595 | − | 0.297235i | ||||
\(985\) | −1.09144 | + | 0.354631i | −0.0347762 | + | 0.0112995i | ||||
\(986\) | 13.9515 | + | 10.1364i | 0.444307 | + | 0.322808i | ||||
\(987\) | −4.59042 | + | 0.503712i | −0.146115 | + | 0.0160333i | ||||
\(988\) | 12.1663 | − | 37.4439i | 0.387061 | − | 1.19125i | ||||
\(989\) | −7.09554 | −0.225625 | ||||||||
\(990\) | −0.852796 | − | 1.35143i | −0.0271037 | − | 0.0429512i | ||||
\(991\) | 14.6512 | 0.465409 | 0.232705 | − | 0.972547i | \(-0.425242\pi\) | ||||
0.232705 | + | 0.972547i | \(0.425242\pi\) | |||||||
\(992\) | 2.60546 | − | 8.01878i | 0.0827234 | − | 0.254596i | ||||
\(993\) | −19.9938 | + | 2.19395i | −0.634485 | + | 0.0696229i | ||||
\(994\) | −8.53157 | − | 6.19855i | −0.270605 | − | 0.196606i | ||||
\(995\) | 1.98004 | − | 0.643355i | 0.0627716 | − | 0.0203957i | ||||
\(996\) | −5.00749 | + | 24.1000i | −0.158669 | + | 0.763636i | ||||
\(997\) | 28.5607 | − | 39.3105i | 0.904528 | − | 1.24498i | −0.0644734 | − | 0.997919i | \(-0.520537\pi\) |
0.969001 | − | 0.247056i | \(-0.0794632\pi\) | |||||||
\(998\) | 31.5546 | − | 22.9258i | 0.998843 | − | 0.725702i | ||||
\(999\) | 3.07505 | + | 0.952694i | 0.0972902 | + | 0.0301419i |
(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 | 462.2.w.a.365.1 | yes | 48 | |
3.2 | odd | 2 | 462.2.w.b.365.7 | yes | 48 | ||
11.6 | odd | 10 | 462.2.w.b.281.7 | yes | 48 | ||
33.17 | even | 10 | inner | 462.2.w.a.281.1 | ✓ | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.w.a.281.1 | ✓ | 48 | 33.17 | even | 10 | inner | |
462.2.w.a.365.1 | yes | 48 | 1.1 | even | 1 | trivial | |
462.2.w.b.281.7 | yes | 48 | 11.6 | odd | 10 | ||
462.2.w.b.365.7 | yes | 48 | 3.2 | odd | 2 |